Subgroups — #28292120

Order 13568.

7998 conjugacy classes of subgroups.

The subgroup lattice has 2778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288766	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288764	C₂	1	1	yes	maximal, characteristic, complemented
3	#20288752	C₂	1	2	yes	maximal, complemented
4	#20288742	C₂	1	1	yes	maximal, characteristic, complemented
5	#20288741	C₂	1	2	yes	maximal, complemented
6	#20288653	C₂	1	2	yes	maximal, complemented
7	#20288651	C₂	1	4	yes	maximal, complemented
8	#20288643	C₂	1	2	yes	maximal, complemented
9	#20288559	C₂	1	1	yes	maximal, characteristic, complemented
10	#20288557	C₂	1	1	yes	maximal, characteristic, complemented
11	#20288544	C₂	1	2	yes	maximal, complemented
12	#20288542	C₂	1	2	yes	maximal, complemented
13	#20288512	C₂	1	1	yes	maximal, characteristic, complemented
14	#20288471	C₂	1	1	yes	maximal, characteristic, complemented
15	#20288419	C₂	1	2	yes	maximal, complemented
16	#20288397	C₂	1	4	yes	maximal, complemented
17	#20288343	C₂	1	2	yes	maximal, complemented
18	#20288322	C₂	1	2	yes	maximal, complemented
19	#20288320	C₂	1	4	yes	maximal, complemented
20	#20288316	C₂	1	2	yes	maximal, complemented
21	#20288281	C₂	1	1	yes	maximal, characteristic, complemented
22	#20288274	C₂	1	2	yes	maximal, complemented
23	#20288272	C₂	1	1	yes	maximal, characteristic, complemented
24	#20288205	C₂	1	1	yes	maximal, characteristic, complemented
25	#20288199	C₂	1	2	yes	maximal, complemented
26	D₄×#11719947	C₂	1	1	yes	maximal, characteristic, complemented
27	#20288130	C₂	1	2	yes	maximal, complemented
28	#20288126	C₂	1	4	yes	maximal, complemented
29	#20288010	C₂	1	1	yes	maximal, characteristic, complemented
30	#20288009	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#16811133	C₂	1	2	yes	maximal, complemented
32	#525×D₅₃	C₂	1	2	yes	maximal, complemented
33	#20287919	C₂	1	2	yes	maximal, complemented
34	C₂×C₄×D₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3519	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#13133262	C₂²	1	2	yes	—
37	C₂²×#11719947	C₂²	1	2	yes	complemented
38	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
39	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
40	C₂³×C₄×D₅₃	C₂²	1	2	yes	complemented
41	#16811359	C₂²	1	2	yes	complemented
42	#16811356	C₂²	1	2	yes	complemented
43	#16811355	C₂²	1	4	yes	complemented
44	#16811346	C₂²	1	1	yes	characteristic, complemented
45	#16811343	C₂²	1	1	yes	characteristic, complemented
46	#16811341	C₂²	1	2	yes	complemented
47	#16811339	C₂²	1	1	yes	characteristic, complemented
48	#16811337	C₂²	1	2	yes	complemented
49	#16811334	C₂²	1	1	yes	characteristic, complemented
50	#16811332	C₂²	1	4	yes	complemented
51	#16811331	C₂²	1	4	yes	complemented
52	#16811330	C₂²	1	2	yes	complemented
53	#16811330	C₂²	1	2	yes	complemented
54	#16811329	C₂²	1	2	yes	complemented
55	#16811328	C₂²	1	2	yes	complemented
56	#16811328	C₂²	1	2	yes	complemented
57	#16811325	C₂²	1	2	yes	complemented
58	#16811325	C₂²	1	2	yes	complemented
59	#16811325	C₂²	1	4	yes	complemented
60	#16811323	C₂²	1	2	yes	complemented
61	#16811321	C₂²	1	2	yes	complemented
62	#16811320	C₂²	1	4	yes	complemented
63	#16811320	C₂²	1	2	yes	complemented
64	#16811319	C₂²	1	4	yes	complemented
65	#16811318	C₂²	1	4	yes	complemented
66	#16811317	C₂²	1	2	yes	complemented
67	#16811316	C₂²	1	4	yes	complemented
68	#16811316	C₂²	1	4	yes	complemented
69	#16811315	C₂²	1	2	yes	complemented
70	#16811313	C₂²	1	2	yes	complemented
71	#16811312	C₂²	1	2	yes	complemented
72	#16811312	C₂²	1	2	yes	complemented
73	#16811311	C₂²	1	2	yes	complemented
74	#16811311	C₂²	1	2	yes	complemented
75	#16811309	C₂²	1	4	yes	complemented
76	#16811304	C₂²	1	4	yes	complemented
77	#16811304	C₂²	1	4	yes	complemented
78	#16811303	C₂²	1	4	yes	complemented
79	#16811302	C₂²	1	4	yes	complemented
80	#16811302	C₂²	1	4	yes	complemented
81	#16811301	C₂²	1	4	yes	complemented
82	#16811300	C₂²	1	4	yes	complemented
83	#16811299	C₂²	1	4	yes	complemented
84	#16811299	C₂²	1	4	yes	complemented
85	#16811298	C₂²	1	4	yes	complemented
86	#16811296	C₂²	1	4	yes	complemented
87	#16811296	C₂²	1	4	yes	complemented
88	#16811293	C₂²	1	1	yes	characteristic, complemented
89	#16811291	C₂²	1	2	yes	complemented
90	Q₈×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
91	D₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
92	#16811286	C₂²	1	2	yes	complemented
93	#16811282	C₂²	1	2	yes	complemented
94	#16811281	C₂²	1	2	yes	complemented
95	#16811280	C₂²	1	2	yes	complemented
96	#16811279	C₂²	1	2	yes	complemented
97	#16811278	C₂²	1	1	yes	characteristic, complemented
98	#16811278	C₂²	1	2	yes	complemented
99	#16811278	C₂²	1	1	yes	characteristic, complemented
100	#16811277	C₂²	1	1	yes	characteristic, complemented
101	#16811277	C₂²	1	1	yes	characteristic, complemented
102	#16811273	C₂²	1	2	yes	complemented
103	#16811273	C₂²	1	2	yes	complemented
104	#16811272	C₂²	1	2	yes	complemented
105	#16811271	C₂²	1	4	yes	complemented
106	#16811270	C₂²	1	2	yes	complemented
107	#16811270	C₂²	1	4	yes	complemented
108	#16811270	C₂²	1	2	yes	complemented
109	#16811270	C₂²	1	2	yes	complemented
110	#16811269	C₂²	1	2	yes	complemented
111	#16811268	C₂²	1	2	yes	complemented
112	#16811268	C₂²	1	2	yes	complemented
113	#16811267	C₂²	1	2	yes	complemented
114	#16811267	C₂²	1	4	yes	complemented
115	#16811267	C₂²	1	2	yes	complemented
116	#16811267	C₂²	1	2	yes	complemented
117	#16811263	C₂²	1	4	yes	complemented
118	#16811262	C₂²	1	4	yes	complemented
119	#16811262	C₂²	1	4	yes	complemented
120	#16811262	C₂²	1	4	yes	complemented
121	#16811261	C₂²	1	4	yes	complemented
122	#16811260	C₂²	1	4	yes	complemented
123	#16811260	C₂²	1	4	yes	complemented
124	#16811260	C₂²	1	4	yes	complemented
125	#16811258	C₂²	1	2	yes	complemented
126	#16811258	C₂²	1	1	yes	characteristic, complemented
127	#16811257	C₂²	1	2	yes	complemented
128	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
129	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
130	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
131	#16811255	C₂²	1	4	yes	complemented
132	#16811253	C₂²	1	2	yes	complemented
133	#16811248	C₂²	1	4	yes	complemented
134	#16811244	C₂²	1	2	yes	complemented
135	#16811241	C₂²	1	4	yes	complemented
136	#16811238	C₂²	1	2	yes	complemented
137	#16811224	C₂²	1	2	yes	complemented
138	#16811223	C₂²	1	4	yes	complemented
139	#16811216	C₂²	1	4	yes	complemented
140	#16811216	C₂²	1	4	yes	complemented
141	#16811215	C₂²	1	4	yes	complemented
142	#16811215	C₂²	1	4	yes	complemented
143	#16811214	C₂²	1	4	yes	complemented
144	#16811214	C₂²	1	4	yes	complemented
145	#16811211	C₂²	1	4	yes	complemented
146	#16811209	C₂²	1	4	yes	complemented
147	#16811207	C₂²	1	4	yes	complemented
148	#16811207	C₂²	1	4	yes	complemented
149	#16811205	C₂²	1	4	yes	complemented
150	#16811205	C₂²	1	4	yes	complemented
151	#16811205	C₂²	1	4	yes	complemented
152	#16811202	C₂²	1	2	yes	complemented
153	#16811189	C₂²	1	2	yes	complemented
154	#16811186	C₂²	1	2	yes	complemented
155	#16811183	C₂²	1	4	yes	complemented
156	#16811183	C₂²	1	4	yes	complemented
157	#16811181	C₂²	1	4	yes	complemented
158	#16811180	C₂²	1	1	yes	characteristic, complemented
159	#16811179	C₂²	1	1	yes	characteristic, complemented
160	#16811178	C₂²	1	1	yes	characteristic, complemented
161	#16811178	C₂²	1	1	yes	characteristic, complemented
162	#16811177	C₂²	1	1	yes	characteristic, complemented
163	#16811175	C₂²	1	1	yes	characteristic, complemented
164	#16811172	C₂²	1	1	yes	characteristic, complemented
165	#16811171	C₂²	1	2	yes	complemented
166	#16811171	C₂²	1	1	yes	characteristic, complemented
167	#16811171	C₂²	1	1	yes	characteristic, complemented
168	#16811170	C₂²	1	1	yes	characteristic, complemented
169	#16811168	C₂²	1	1	yes	characteristic, complemented
170	#16811168	C₂²	1	4	yes	complemented
171	#16811168	C₂²	1	2	yes	complemented
172	#16811159	C₂²	1	4	yes	complemented
173	#16811158	C₂²	1	1	yes	characteristic, complemented
174	#16811158	C₂²	1	2	yes	complemented
175	#16811157	C₂²	1	1	yes	characteristic, complemented
176	#16811156	C₂²	1	2	yes	complemented
177	#16811156	C₂²	1	2	yes	complemented
178	#16811156	C₂²	1	4	yes	complemented
179	#16811155	C₂²	1	2	yes	complemented
180	#16811155	C₂²	1	2	yes	complemented
181	#16811154	C₂²	1	2	yes	complemented
182	#16811154	C₂²	1	2	yes	complemented
183	#16811154	C₂²	1	4	yes	complemented
184	#16811154	C₂²	1	2	yes	complemented
185	#16811152	C₂²	1	1	yes	characteristic, complemented
186	#16811152	C₂²	1	2	yes	complemented
187	#16811152	C₂²	1	2	yes	complemented
188	#16811152	C₂²	1	4	yes	complemented
189	#16811151	C₂²	1	2	yes	complemented
190	#16811150	C₂²	1	2	yes	complemented
191	#16811150	C₂²	1	4	yes	complemented
192	#16811136	C₂²	1	1	yes	characteristic, complemented
193	#16811136	C₂²	1	2	yes	complemented
194	#16811135	C₂²	1	2	yes	complemented
195	#16811134	C₂²	1	2	yes	complemented
196	#16811133	C₂²	1	1	yes	characteristic, complemented
197	#16811133	C₂²	1	2	yes	complemented
198	#16811133	C₂²	1	2	yes	complemented
199	#16811133	C₂²	1	4	yes	complemented
200	#16811133	C₂²	1	4	yes	complemented
201	#16811133	C₂²	1	2	yes	complemented
202	#16811133	C₂²	1	2	yes	complemented
203	#16811133	C₂²	1	2	yes	complemented
204	#16811133	C₂²	1	2	yes	complemented
205	#16811133	C₂²	1	2	yes	complemented
206	#16811133	C₂²	1	4	yes	complemented
207	#16811133	C₂²	1	2	yes	complemented
208	#16811133	C₂²	1	2	yes	complemented
209	#16811133	C₂²	1	4	yes	complemented
210	#16811133	C₂²	1	4	yes	complemented
211	#16811132	C₂²	1	2	yes	complemented
212	#16811132	C₂²	1	4	yes	complemented
213	#16811132	C₂²	1	4	yes	complemented
214	#16811131	C₂²	1	2	yes	complemented
215	#16811131	C₂²	1	4	yes	complemented
216	#16811131	C₂²	1	4	yes	complemented
217	#16811130	C₂²	1	2	yes	complemented
218	#16811130	C₂²	1	2	yes	complemented
219	#16811129	C₂²	1	4	yes	complemented
220	#16811129	C₂²	1	4	yes	complemented
221	#16811129	C₂²	1	4	yes	complemented
222	C₂×#13133199	C₂²	1	4	yes	complemented
223	#123×D₅₃	C₂²	1	4	yes	complemented
224	C₂×#13133197	C₂²	1	2	yes	complemented
225	C₂×#13133196	C₂²	1	2	yes	complemented
226	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
227	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
228	C₂×#13133188	C₂²	1	2	yes	complemented
229	#121×D₅₃	C₂²	1	2	yes	complemented
230	#121×D₅₃	C₂²	1	2	yes	complemented
231	C₂×#13133185	C₂²	1	4	yes	complemented
232	#120×D₅₃	C₂²	1	4	yes	complemented
233	#16811103	C₂²	1	2	yes	complemented
234	#16811103	C₂²	1	2	yes	complemented
235	#16811102	C₂²	1	2	yes	complemented
236	#16811102	C₂²	1	2	yes	complemented
237	#16811102	C₂²	1	4	yes	complemented
238	#16811096	C₂²	1	4	yes	complemented
239	#16811096	C₂²	1	4	yes	complemented
240	#16811095	C₂²	1	2	yes	—
241	#16811095	C₂²	1	4	yes	complemented
242	#16811095	C₂²	1	2	yes	complemented
243	#41×Dic₅₃	C₂²	1	2	yes	complemented
244	C₄×#11719949	C₂²	1	1	yes	characteristic, complemented
245	#16811091	C₂²	1	2	yes	complemented
246	#16811091	C₂²	1	2	yes	complemented
247	C₄×#11719947	C₂²	1	2	yes	complemented
248	C₄×#11719947	C₂²	1	2	yes	complemented
249	C₄×#11719947	C₂²	1	1	yes	characteristic, complemented
250	C₄×#11719947	C₂²	1	2	yes	complemented
251	C₄×#11719947	C₂²	1	2	yes	complemented
252	C₄×#11719947	C₂²	1	4	yes	complemented
253	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
254	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
255	C₂×D₄×Dic₅₃	C₂²	1	4	yes	complemented
256	C₂×D₄×Dic₅₃	C₂²	1	2	yes	complemented
257	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
258	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
259	C₂×#13133177	C₂²	1	2	yes	complemented
260	C₂×#13133177	C₂²	1	4	yes	complemented
261	C₂×#13133177	C₂²	1	4	yes	complemented
262	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
263	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
264	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
265	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
266	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
267	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
268	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
269	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
270	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
271	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
272	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
273	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
274	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
275	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
276	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
277	C₂×#13133175	C₂²	1	2	yes	complemented
278	#117×D₅₃	C₂²	1	2	yes	complemented
279	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
280	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
281	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
282	C₅₃×#555	C₂²	1	1	yes	characteristic, complemented
283	C₅₃×#554	C₂²	1	1	yes	characteristic, complemented
284	C₅₃×#553	C₂²	1	2	yes	complemented
285	C₅₃×#553	C₂²	1	2	yes	complemented
286	C₅₃×#550	C₂²	1	1	yes	characteristic, complemented
287	C₅₃×#546	C₂²	1	4	yes	complemented
288	C₅₃×#546	C₂²	1	2	yes	complemented
289	D₄²×C₅₃	C₂²	1	2	yes	complemented
290	D₄²×C₅₃	C₂²	1	1	yes	characteristic, complemented
291	C₅₃×#540	C₂²	1	2	yes	complemented
292	C₅₃×#538	C₂²	1	4	yes	complemented
293	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
294	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
295	C₅₃×#525	C₂²	1	2	yes	complemented
296	C₂×#121×C₅₃	C₂²	1	2	yes	complemented
297	C₅₃×#518	C₂²	1	2	yes	complemented
298	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
299	C₂⁴×D₅₃	C₂³	1	2	yes	—
300	#13133262	—	2	16	no	—
301	C₂×#11719949	C₂³	1	1	yes	characteristic
302	C₂×#11719945	C₂³	1	2	yes	—
303	C₂×#11719945	C₂³	1	2	yes	—
304	C₂×#11719945	C₂³	1	4	yes	—
305	C₂×#11719945	C₂³	1	2	yes	complemented
306	C₂×#11719947	—	4	8	no	—
307	C₂×#11719947	C₂³	1	2	yes	—
308	C₂×#11719947	C₂³	1	4	yes	—
309	C₂×#11719947	C₂³	1	2	yes	—
310	C₂×#11719947	C₂³	1	2	yes	—
311	C₂×#11719947	C₂³	1	1	yes	characteristic
312	C₂×#11719947	C₂³	1	2	yes	—
313	C₂×#11719947	C₂³	1	4	yes	—
314	C₂×#11719947	C₂³	1	2	yes	complemented
315	C₂×#11719947	C₂³	1	2	yes	complemented
316	C₂×#11719947	C₂³	1	4	yes	complemented
317	C₂×#11719947	C₂³	1	4	yes	complemented
318	#41×D₅₃	—	4	8	no	—
319	C₂²×Dic₁₀₆	C₂³	1	2	yes	complemented
320	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
321	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
322	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
323	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
324	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
325	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
326	C₂×D₄×D₅₃	—	2	8	no	—
327	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
328	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
329	C₂×D₄×D₅₃	C₂³	1	2	yes	—
330	C₂×D₄×D₅₃	C₂³	1	2	yes	—
331	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
332	C₂×D₄×D₅₃	C₂³	1	2	yes	—
333	C₂×D₄×D₅₃	C₂³	1	4	yes	—
334	C₂×D₄×D₅₃	C₂³	1	4	yes	—
335	C₂×D₄×D₅₃	C₂³	1	4	yes	—
336	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
337	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
338	C₂³×Dic₅₃	C₂³	1	2	yes	—
339	C₂³×Dic₅₃	C₂³	1	4	yes	complemented
340	C₂²×C₄×D₅₃	—	4	8	no	—
341	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
342	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
343	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
344	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
345	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
346	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
347	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
348	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
349	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
350	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
351	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
352	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
353	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
354	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
355	C₂²×C₄×D₅₃	C₂³	1	4	yes	complemented
356	#13133217	C₂³	1	1	yes	characteristic, complemented
357	#13133217	C₂³	1	1	yes	characteristic, complemented
358	#13133217	C₂³	1	2	yes	complemented
359	#13133216	C₂³	1	4	yes	complemented
360	#13133216	C₂³	1	1	yes	characteristic, complemented
361	#13133216	C₂³	1	2	yes	complemented
362	#13133216	C₂³	1	1	yes	characteristic, complemented
363	#13133215	C₂³	1	1	yes	characteristic, complemented
364	#13133213	C₂³	1	4	yes	—
365	#13133213	C₂³	1	2	yes	—
366	#13133213	C₂³	1	1	yes	characteristic, complemented
367	#13133212	C₂³	1	2	yes	complemented
368	#13133212	C₂³	1	4	yes	complemented
369	#13133212	C₂³	1	4	yes	complemented
370	#13133212	C₂³	1	4	yes	complemented
371	#13133212	C₂³	1	4	yes	complemented
372	#13133211	C₂³	1	4	yes	complemented
373	#13133211	C₂³	1	2	yes	complemented
374	#13133210	C₂³	1	4	yes	complemented
375	#13133210	C₂³	1	2	yes	complemented
376	#13133210	C₂³	1	4	yes	complemented
377	#13133210	C₂³	1	4	yes	complemented
378	#13133210	C₂³	1	4	yes	complemented
379	#13133210	C₂³	1	4	yes	complemented
380	#13133210	C₂³	1	4	yes	complemented
381	#13133210	C₂³	1	4	yes	complemented
382	#13133210	C₂³	1	4	yes	complemented
383	#13133209	C₂³	1	4	yes	complemented
384	#13133209	C₂³	1	1	yes	characteristic, complemented
385	#13133209	C₂³	1	2	yes	complemented
386	#13133208	C₂³	1	4	yes	complemented
387	#13133208	C₂³	1	4	yes	complemented
388	#13133208	C₂³	1	2	yes	complemented
389	#13133208	C₂³	1	2	yes	complemented
390	#13133208	C₂³	1	2	yes	complemented
391	#13133207	C₂³	1	4	yes	complemented
392	#13133207	C₂³	1	4	yes	complemented
393	#13133207	C₂³	1	2	yes	complemented
394	#13133207	C₂³	1	2	yes	complemented
395	#13133206	C₂³	1	4	yes	complemented
396	#13133205	C₂³	1	2	yes	—
397	#13133205	C₂³	1	1	yes	characteristic, complemented
398	#13133204	C₂³	1	2	yes	—
399	#13133204	C₂³	1	2	yes	complemented
400	#13133204	C₂³	1	2	yes	complemented
401	#13133204	C₂³	1	4	yes	complemented
402	#13133204	C₂³	1	4	yes	complemented
403	#13133203	C₂³	1	4	yes	—
404	#13133203	C₂³	1	4	yes	complemented
405	#13133203	C₂³	1	4	yes	complemented
406	#13133203	C₂³	1	4	yes	complemented
407	#13133203	C₂³	1	4	yes	complemented
408	#13133203	C₂³	1	2	yes	complemented
409	#13133203	C₂³	1	2	yes	complemented
410	#13133202	C₂³	1	4	yes	—
411	#13133202	C₂³	1	4	yes	—
412	#13133202	C₂³	1	2	yes	—
413	#13133202	C₂³	1	2	yes	—
414	#13133202	C₂³	1	4	yes	complemented
415	#13133201	C₂³	1	4	yes	—
416	#13133201	C₂³	1	4	yes	complemented
417	#13133201	C₂³	1	4	yes	complemented
418	#13133201	C₂³	1	4	yes	complemented
419	#13133201	C₂³	1	4	yes	complemented
420	#13133200	C₂³	1	2	yes	—
421	#13133200	C₂³	1	4	yes	complemented
422	#13133200	C₂³	1	4	yes	complemented
423	#13133200	C₂³	1	4	yes	complemented
424	#13133199	C₂³	1	4	yes	—
425	#13133199	C₂³	1	4	yes	—
426	#13133199	C₂³	1	4	yes	—
427	#13133199	C₂³	1	4	yes	—
428	#13133199	C₂³	1	4	yes	—
429	#13133199	C₂³	1	2	yes	—
430	#13133199	C₂³	1	2	yes	—
431	#13133199	C₂³	1	4	yes	—
432	#13133199	C₂³	1	4	yes	complemented
433	#13133199	C₂³	1	4	yes	complemented
434	#13133199	C₂³	1	4	yes	complemented
435	#13133199	C₂³	1	4	yes	complemented
436	#13133199	C₂³	1	4	yes	complemented
437	#13133199	C₂³	1	4	yes	complemented
438	#13133199	C₂³	1	4	yes	complemented
439	#13133199	C₂³	1	4	yes	complemented
440	#13133198	C₂³	1	4	yes	—
441	#13133198	C₂³	1	4	yes	—
442	#13133198	C₂³	1	4	yes	complemented
443	#13133198	C₂³	1	4	yes	complemented
444	#13133198	C₂³	1	4	yes	complemented
445	#13133198	C₂³	1	4	yes	complemented
446	#13133198	C₂³	1	4	yes	complemented
447	#13133197	C₂³	1	2	yes	—
448	#13133197	C₂³	1	2	yes	—
449	#13133197	C₂³	1	1	yes	characteristic
450	#13133197	C₂³	1	4	yes	—
451	#13133197	C₂³	1	2	yes	complemented
452	#13133197	C₂³	1	2	yes	complemented
453	#13133197	C₂³	1	4	yes	complemented
454	#13133197	C₂³	1	2	yes	complemented
455	#13133197	C₂³	1	2	yes	complemented
456	#13133197	C₂³	1	4	yes	complemented
457	#13133196	C₂³	1	2	yes	—
458	#13133196	C₂³	1	4	yes	—
459	#13133196	C₂³	1	2	yes	—
460	#13133196	C₂³	1	1	yes	characteristic
461	#13133196	C₂³	1	2	yes	complemented
462	#13133196	C₂³	1	2	yes	complemented
463	#13133196	C₂³	1	4	yes	complemented
464	#13133196	C₂³	1	2	yes	complemented
465	#13133196	C₂³	1	4	yes	complemented
466	#13133196	C₂³	1	2	yes	complemented
467	#13133196	C₂³	1	4	yes	complemented
468	#13133195	C₂³	1	2	yes	—
469	#13133195	C₂³	1	2	yes	—
470	#13133195	C₂³	1	4	yes	—
471	#13133195	C₂³	1	2	yes	—
472	#13133195	C₂³	1	4	yes	complemented
473	#13133195	C₂³	1	4	yes	complemented
474	#13133195	C₂³	1	4	yes	complemented
475	#13133195	C₂³	1	4	yes	complemented
476	#13133194	C₂³	1	4	yes	—
477	#13133194	C₂³	1	2	yes	—
478	#13133194	C₂³	1	4	yes	complemented
479	#13133194	C₂³	1	4	yes	complemented
480	#13133194	C₂³	1	4	yes	complemented
481	#13133194	C₂³	1	4	yes	complemented
482	#13133194	C₂³	1	4	yes	complemented
483	#13133194	C₂³	1	4	yes	complemented
484	#13133193	C₂³	1	2	yes	—
485	#13133193	C₂³	1	1	yes	characteristic
486	#13133193	C₂³	1	2	yes	—
487	#13133193	C₂³	1	2	yes	complemented
488	#13133193	C₂³	1	4	yes	complemented
489	#13133192	C₂³	1	2	yes	—
490	#13133192	C₂³	1	1	yes	characteristic
491	#13133192	C₂³	1	2	yes	complemented
492	#13133191	C₂³	1	4	yes	—
493	#13133191	C₂³	1	2	yes	—
494	#13133191	C₂³	1	1	yes	characteristic
495	#13133191	C₂³	1	4	yes	complemented
496	#13133191	C₂³	1	2	yes	complemented
497	#13133190	C₂³	1	4	yes	—
498	#13133190	C₂³	1	2	yes	—
499	#13133190	C₂³	1	4	yes	—
500	#13133190	C₂³	1	4	yes	—
501	#13133190	C₂³	1	2	yes	—
502	#13133190	C₂³	1	2	yes	—
503	#13133190	C₂³	1	4	yes	complemented
504	#13133190	C₂³	1	4	yes	complemented
505	#13133189	C₂³	1	4	yes	—
506	#13133189	C₂³	1	4	yes	—
507	#13133189	C₂³	1	4	yes	—
508	#13133189	C₂³	1	4	yes	—
509	#13133189	C₂³	1	2	yes	—
510	#13133189	C₂³	1	4	yes	—
511	#13133189	C₂³	1	4	yes	complemented
512	#13133189	C₂³	1	4	yes	complemented
513	#13133189	C₂³	1	4	yes	complemented
514	#13133189	C₂³	1	4	yes	complemented
515	#13133189	C₂³	1	4	yes	complemented
516	#13133188	C₂³	1	2	yes	—
517	#13133188	C₂³	1	2	yes	—
518	#13133188	C₂³	1	4	yes	—
519	#13133188	C₂³	1	2	yes	—
520	#13133188	C₂³	1	4	yes	—
521	#13133188	C₂³	1	2	yes	—
522	#13133188	C₂³	1	1	yes	characteristic
523	#13133188	C₂³	1	4	yes	—
524	#13133188	C₂³	1	2	yes	—
525	#13133188	C₂³	1	4	yes	complemented
526	#13133188	C₂³	1	2	yes	complemented
527	#13133188	C₂³	1	2	yes	complemented
528	#13133188	C₂³	1	4	yes	complemented
529	#13133188	C₂³	1	2	yes	complemented
530	#13133188	C₂³	1	2	yes	complemented
531	#13133187	C₂³	1	4	yes	—
532	#13133187	C₂³	1	4	yes	—
533	#13133187	C₂³	1	2	yes	—
534	#13133187	C₂³	1	4	yes	—
535	#13133186	C₂³	1	4	yes	—
536	#13133186	C₂³	1	4	yes	—
537	#13133186	C₂³	1	4	yes	complemented
538	#13133185	C₂³	1	4	yes	—
539	#13133185	C₂³	1	4	yes	—
540	#13133185	C₂³	1	4	yes	—
541	#13133185	C₂³	1	4	yes	—
542	#13133185	C₂³	1	4	yes	—
543	#13133185	C₂³	1	4	yes	—
544	#13133185	C₂³	1	4	yes	—
545	#13133185	C₂³	1	4	yes	—
546	#13133185	C₂³	1	2	yes	—
547	#13133185	C₂³	1	4	yes	—
548	#13133185	C₂³	1	4	yes	—
549	#13133185	C₂³	1	4	yes	complemented
550	#13133185	C₂³	1	4	yes	complemented
551	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
552	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
553	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
554	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
555	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
556	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
557	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
558	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
559	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
560	#13133182	C₂³	1	1	yes	characteristic, complemented
561	#13133182	C₂³	1	2	yes	complemented
562	#13133182	C₂³	1	2	yes	complemented
563	#13133182	C₂³	1	2	yes	complemented
564	#13133182	C₂³	1	2	yes	complemented
565	#13133182	C₂³	1	2	yes	complemented
566	#13133182	C₂³	1	2	yes	complemented
567	C₄×D₂₁₂	C₂³	1	2	yes	—
568	C₄×D₂₁₂	C₂³	1	2	yes	—
569	C₄×D₂₁₂	C₂³	1	2	yes	—
570	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
571	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
572	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
573	C₄×D₂₁₂	C₂³	1	2	yes	—
574	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
575	C₄×D₂₁₂	C₂³	1	4	yes	—
576	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
577	C₄×D₂₁₂	C₂³	1	4	yes	complemented
578	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
579	D₄×Dic₅₃	C₂³	1	2	yes	—
580	D₄×Dic₅₃	C₂³	1	4	yes	—
581	D₄×Dic₅₃	C₂³	1	2	yes	—
582	D₄×Dic₅₃	C₂³	1	4	yes	—
583	D₄×Dic₅₃	C₂³	1	4	yes	—
584	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
585	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
586	D₄×Dic₅₃	C₂³	1	2	yes	—
587	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
588	D₄×Dic₅₃	C₂³	1	4	yes	—
589	D₄×Dic₅₃	C₂³	1	2	yes	—
590	D₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
591	D₄×Dic₅₃	C₂³	1	2	yes	complemented
592	D₄×Dic₅₃	C₂³	1	2	yes	complemented
593	D₄×Dic₅₃	C₂³	1	4	yes	complemented
594	D₄×Dic₅₃	C₂³	1	4	yes	complemented
595	D₄×Dic₅₃	C₂³	1	4	yes	complemented
596	D₄×Dic₅₃	C₂³	1	2	yes	complemented
597	D₄×Dic₅₃	C₂³	1	4	yes	complemented
598	D₄×Dic₅₃	C₂³	1	2	yes	complemented
599	D₄×Dic₅₃	C₂³	1	4	yes	complemented
600	D₄×Dic₅₃	C₂³	1	4	yes	complemented
601	D₄×Dic₅₃	C₂³	1	2	yes	complemented
602	#13133179	C₂³	1	2	yes	—
603	#13133179	C₂³	1	1	yes	characteristic
604	#13133179	C₂³	1	2	yes	—
605	#13133179	C₂³	1	2	yes	—
606	#13133179	C₂³	1	1	yes	characteristic
607	#13133179	C₂³	1	1	yes	characteristic
608	#13133179	C₂³	1	2	yes	—
609	#13133179	C₂³	1	1	yes	characteristic
610	#13133179	C₂³	1	2	yes	—
611	#13133179	C₂³	1	2	yes	—
612	#13133179	C₂³	1	1	yes	characteristic, complemented
613	#13133179	C₂³	1	4	yes	complemented
614	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
615	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
616	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
617	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
618	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
619	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
620	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
621	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
622	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
623	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
624	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
625	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
626	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
627	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
628	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
629	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
630	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
631	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
632	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
633	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
634	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
635	#13133177	C₂³	1	4	yes	—
636	#13133177	C₂³	1	4	yes	—
637	#13133177	C₂³	1	2	yes	—
638	#13133177	C₂³	1	2	yes	—
639	#13133177	C₂³	1	2	yes	—
640	#13133177	C₂³	1	2	yes	—
641	#13133177	C₂³	1	2	yes	—
642	#13133177	C₂³	1	2	yes	—
643	#13133177	C₂³	1	2	yes	—
644	#13133177	C₂³	1	2	yes	—
645	#13133177	C₂³	1	2	yes	—
646	#13133177	C₂³	1	2	yes	—
647	#13133177	C₂³	1	4	yes	—
648	#13133177	C₂³	1	2	yes	—
649	#13133177	C₂³	1	4	yes	—
650	#13133177	C₂³	1	4	yes	—
651	#13133177	C₂³	1	2	yes	—
652	#13133177	C₂³	1	4	yes	complemented
653	#13133177	C₂³	1	4	yes	complemented
654	#13133177	C₂³	1	4	yes	complemented
655	#13133177	C₂³	1	4	yes	complemented
656	#13133177	C₂³	1	4	yes	complemented
657	#13133177	C₂³	1	4	yes	complemented
658	#13133177	C₂³	1	4	yes	complemented
659	#13133177	C₂³	1	4	yes	complemented
660	#13133177	C₂³	1	2	yes	complemented
661	#13133177	C₂³	1	4	yes	complemented
662	#13133177	C₂³	1	4	yes	complemented
663	#13133177	C₂³	1	2	yes	complemented
664	#13133177	C₂³	1	2	yes	complemented
665	#13133176	C₂³	1	2	yes	—
666	#13133176	C₂³	1	4	yes	complemented
667	#13133176	C₂³	1	2	yes	complemented
668	#13133175	C₂³	1	4	yes	—
669	#13133175	C₂³	1	1	yes	characteristic
670	#13133175	C₂³	1	2	yes	—
671	#13133175	C₂³	1	1	yes	characteristic
672	#13133175	C₂³	1	2	yes	—
673	#13133175	C₂³	1	4	yes	complemented
674	#13133175	C₂³	1	2	yes	complemented
675	#13133175	C₂³	1	2	yes	complemented
676	#13133175	C₂³	1	2	yes	complemented
677	#13133175	C₂³	1	2	yes	complemented
678	#13133175	C₂³	1	4	yes	complemented
679	#13133175	C₂³	1	2	yes	complemented
680	#13133174	C₂³	1	4	yes	—
681	#13133174	C₂³	1	2	yes	—
682	#13133174	C₂³	1	4	yes	complemented
683	#13133174	C₂³	1	2	yes	complemented
684	#13133173	C₂³	1	2	yes	—
685	#13133173	C₂³	1	4	yes	complemented
686	#13133173	C₂³	1	4	yes	complemented
687	#13133173	C₂³	1	2	yes	complemented
688	#13133173	C₂³	1	4	yes	complemented
689	#13133173	C₂³	1	4	yes	complemented
690	#13133173	C₂³	1	4	yes	complemented
691	#13133173	C₂³	1	2	yes	complemented
692	#13133173	C₂³	1	4	yes	complemented
693	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
694	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
695	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
696	C₂×C₄⋊Dic₅₃	C₂³	1	4	yes	complemented
697	C₂×#11719919	C₂³	1	2	yes	—
698	C₂×#11719919	C₂³	1	4	yes	complemented
699	C₂×#11719919	C₂³	1	4	yes	complemented
700	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
701	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
702	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
703	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
704	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
705	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
706	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
707	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
708	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
709	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
710	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
711	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
712	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
713	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
714	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
715	C₂×#11719921	C₂³	1	4	yes	—
716	C₂×#11719921	C₂³	1	2	yes	—
717	C₂×#11719921	C₂³	1	2	yes	—
718	C₂×#11719921	C₂³	1	4	yes	—
719	C₂×#11719921	C₂³	1	4	yes	complemented
720	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
721	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
722	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
723	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
724	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
725	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
726	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
727	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
728	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
729	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
730	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
731	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
732	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
733	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
734	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
735	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
736	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
737	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
738	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
739	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
740	C₄²×D₅₃	C₂³	1	1	yes	characteristic
741	C₄²×D₅₃	C₂³	1	1	yes	characteristic
742	C₄²×D₅₃	C₂³	1	1	yes	characteristic
743	C₄²×D₅₃	C₂³	1	1	yes	characteristic
744	C₄²×D₅₃	C₂³	1	1	yes	characteristic
745	C₄²×D₅₃	C₂³	1	1	yes	characteristic
746	C₄²×D₅₃	C₂³	1	1	yes	characteristic
747	C₄²×D₅₃	C₂³	1	1	yes	characteristic
748	C₄²×D₅₃	C₂³	1	4	yes	complemented
749	C₄²×D₅₃	C₂³	1	2	yes	complemented
750	C₂×#41×C₅₃	C₂³	1	2	yes	—
751	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
752	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
753	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
754	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
755	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
756	C₂³×C₄×C₅₃	C₂³	1	2	yes	—
757	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
758	#127×C₅₃	C₂³	1	2	yes	—
759	#127×C₅₃	C₂³	1	1	yes	characteristic, complemented
760	#126×C₅₃	C₂³	1	4	yes	complemented
761	#126×C₅₃	C₂³	1	2	yes	complemented
762	#125×C₅₃	C₂³	1	1	yes	characteristic, complemented
763	#125×C₅₃	C₂³	1	2	yes	complemented
764	#124×C₅₃	C₂³	1	1	yes	characteristic, complemented
765	#124×C₅₃	C₂³	1	4	yes	complemented
766	#124×C₅₃	C₂³	1	2	yes	complemented
767	#123×C₅₃	C₂³	1	2	yes	—
768	#123×C₅₃	C₂³	1	4	yes	complemented
769	#123×C₅₃	C₂³	1	4	yes	complemented
770	#123×C₅₃	C₂³	1	4	yes	complemented
771	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
772	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
773	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
774	#121×C₅₃	C₂³	1	2	yes	—
775	#121×C₅₃	C₂³	1	1	yes	characteristic
776	#121×C₅₃	C₂³	1	2	yes	—
777	#121×C₅₃	C₂³	1	4	yes	—
778	#121×C₅₃	C₂³	1	2	yes	—
779	#121×C₅₃	C₂³	1	4	yes	—
780	#121×C₅₃	C₂³	1	2	yes	complemented
781	#121×C₅₃	C₂³	1	2	yes	complemented
782	#121×C₅₃	C₂³	1	4	yes	complemented
783	#121×C₅₃	C₂³	1	2	yes	complemented
784	#121×C₅₃	C₂³	1	2	yes	complemented
785	#121×C₅₃	C₂³	1	4	yes	complemented
786	#121×C₅₃	C₂³	1	4	yes	complemented
787	#120×C₅₃	C₂³	1	4	yes	—
788	#120×C₅₃	C₂³	1	4	yes	—
789	#120×C₅₃	C₂³	1	4	yes	complemented
790	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
791	C₄×D₄×C₅₃	C₂³	1	2	yes	—
792	C₄×D₄×C₅₃	C₂³	1	2	yes	—
793	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
794	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
795	C₄×D₄×C₅₃	C₂³	1	2	yes	—
796	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
797	C₄×D₄×C₅₃	C₂³	1	2	yes	—
798	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
799	C₄×D₄×C₅₃	C₂³	1	4	yes	—
800	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
801	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
802	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
803	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
804	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
805	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
806	#117×C₅₃	C₂³	1	2	yes	complemented
807	#117×C₅₃	C₂³	1	2	yes	complemented
808	#117×C₅₃	C₂³	1	2	yes	complemented
809	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
810	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
811	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
812	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
813	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
814	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
815	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
816	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
817	C₂³×D₅₃	—	2	8	no	—
818	C₂³×D₅₃	—	4	4	no	—
819	C₂³×D₅₃	—	4	4	no	—
820	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
821	C₂³×D₅₃	C₂⁴	1	2	yes	—
822	C₂³×D₅₃	C₂⁴	1	2	yes	—
823	C₂³×D₅₃	C₂⁴	1	2	yes	—
824	C₂³×D₅₃	C₂⁴	1	2	yes	—
825	C₂³×D₅₃	C₂⁴	1	4	yes	—
826	C₂³×D₅₃	C₂⁴	1	2	yes	—
827	#41×C₅₃	—	4	4	no	—
828	#41×C₅₃	—	4	4	no	—
829	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
830	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
831	C₂×D₄×C₅₃	—	2	4	no	—
832	C₂×D₄×C₅₃	—	2	8	no	—
833	C₂×D₄×C₅₃	—	4	4	no	—
834	C₂×D₄×C₅₃	—	4	8	no	—
835	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
836	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
837	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
838	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
839	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
840	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
841	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
842	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
843	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
844	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
845	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
846	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
847	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
848	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
849	C₂²×C₄×C₅₃	—	4	4	no	—
850	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
851	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
852	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
853	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
854	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
855	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
856	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
857	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
858	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
859	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
860	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
861	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
862	C₂×C₂²⋊D₅₃	—	2	16	no	—
863	C₂×C₂²⋊D₅₃	—	2	8	no	—
864	C₂×C₂²⋊D₅₃	—	2	16	no	—
865	C₂×C₂²⋊D₅₃	—	4	8	no	—
866	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
869	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
870	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
871	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
872	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
874	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
875	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
876	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
878	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
880	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
882	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
885	C₂²×Dic₅₃	—	4	4	no	—
886	C₂²×Dic₅₃	—	4	8	no	—
887	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
888	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
889	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
890	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
891	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
892	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
893	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
894	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
895	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
896	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
897	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
898	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
899	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
900	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
901	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
902	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
903	#11719949	—	2	4	no	—
904	Q₈×D₅₃	—	4	4	no	—
905	#11719947	—	2	8	no	—
906	#11719947	—	2	16	no	—
907	#11719947	—	2	8	no	—
908	#11719947	—	2	8	no	—
909	#11719947	—	2	4	no	—
910	#11719947	—	4	4	no	—
911	#11719947	—	4	4	no	—
912	#11719947	—	4	8	no	—
913	#11719947	—	4	8	no	—
914	#11719947	—	4	8	no	—
915	#11719947	—	4	4	no	—
916	D₄×D₅₃	—	2	8	no	—
917	D₄×D₅₃	—	2	16	no	—
918	D₄×D₅₃	—	2	4	no	—
919	D₄×D₅₃	—	2	8	no	—
920	D₄×D₅₃	—	2	4	no	—
921	D₄×D₅₃	—	2	8	no	—
922	D₄×D₅₃	—	2	4	no	—
923	D₄×D₅₃	—	4	4	no	—
924	D₄×D₅₃	—	4	8	no	—
925	D₄×D₅₃	—	4	8	no	—
926	D₄×D₅₃	#41	1	8	yes	complemented
927	#11719945	—	2	8	no	—
928	#11719945	—	2	8	no	—
929	#11719945	—	4	4	no	—
930	#11719945	—	4	8	no	—
931	C₂×D₂₁₂	—	2	4	no	—
932	C₂×D₂₁₂	C₂⁴	1	2	yes	—
933	C₂×D₂₁₂	C₂⁴	1	2	yes	—
934	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
935	C₂×D₂₁₂	C₂⁴	1	2	yes	—
936	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
937	C₂×D₂₁₂	C₂⁴	1	4	yes	—
938	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
939	C₂×C₄×D₅₃	—	2	4	no	—
940	C₂×C₄×D₅₃	—	2	4	no	—
941	C₂×C₄×D₅₃	—	2	8	no	—
942	C₂×C₄×D₅₃	—	2	8	no	—
943	C₂×C₄×D₅₃	—	4	4	no	—
944	C₂×C₄×D₅₃	—	4	4	no	—
945	C₂×C₄×D₅₃	—	4	4	no	—
946	C₂×C₄×D₅₃	—	4	8	no	—
947	C₂×C₄×D₅₃	—	4	4	no	—
948	C₂×C₄×D₅₃	—	4	4	no	—
949	C₂×C₄×D₅₃	—	4	4	no	—
950	C₂×C₄×D₅₃	—	4	4	no	—
951	C₂×C₄×D₅₃	—	4	4	no	—
952	C₂×C₄×D₅₃	—	4	4	no	—
953	C₂×C₄×D₅₃	—	4	2	no	—
954	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
955	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
956	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
957	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
958	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
959	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
960	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
961	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
962	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
963	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
964	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
965	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
966	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
967	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
968	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
969	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
970	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
971	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
972	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
973	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
974	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
975	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
976	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
977	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
978	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
979	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
980	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
981	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
982	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
983	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
984	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
985	C₂×Dic₁₀₆	—	4	4	no	—
986	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
987	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
988	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
989	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
990	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
991	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
992	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
993	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
994	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
995	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
996	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
997	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
998	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
999	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1000	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1001	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1002	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1003	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1004	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1005	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1006	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1007	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1008	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1009	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1010	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1011	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1012	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1013	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1014	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1015	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1016	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1017	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1018	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1019	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1020	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1021	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1022	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1023	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1024	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1025	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1026	C₄²×C₅₃	C₂⁴	1	4	yes	—
1027	C₄²×C₅₃	C₂⁴	1	2	yes	—
1028	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1029	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1030	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1031	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1032	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1033	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1034	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1035	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1036	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1037	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1038	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1039	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1040	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1041	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1042	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1043	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1044	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1045	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1046	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1047	#11719921	C₂⁴	1	2	yes	—
1048	#11719921	C₂⁴	1	2	yes	—
1049	#11719921	C₂⁴	1	2	yes	—
1050	#11719921	C₂⁴	1	2	yes	—
1051	#11719921	C₂⁴	1	2	yes	—
1052	#11719921	C₂⁴	1	2	yes	—
1053	#11719921	C₂⁴	1	2	yes	—
1054	#11719921	C₂⁴	1	2	yes	—
1055	#11719921	C₂⁴	1	2	yes	—
1056	#11719921	C₂⁴	1	2	yes	—
1057	#11719921	C₂⁴	1	4	yes	—
1058	#11719921	C₂⁴	1	4	yes	—
1059	#11719921	C₂⁴	1	4	yes	—
1060	#11719921	C₂⁴	1	4	yes	—
1061	#11719921	C₂⁴	1	2	yes	—
1062	#11719921	C₂⁴	1	2	yes	—
1063	#11719921	C₂⁴	1	4	yes	—
1064	#11719921	C₂⁴	1	4	yes	—
1065	#11719921	C₂⁴	1	4	yes	—
1066	#11719921	C₂⁴	1	2	yes	—
1067	#11719921	C₂⁴	1	2	yes	—
1068	#11719921	C₂⁴	1	4	yes	—
1069	#11719921	C₂⁴	1	4	yes	—
1070	#11719921	C₂⁴	1	4	yes	—
1071	#11719921	C₂⁴	1	2	yes	—
1072	#11719921	C₂⁴	1	2	yes	—
1073	#11719921	C₂⁴	1	2	yes	—
1074	#11719921	C₂⁴	1	2	yes	—
1075	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1076	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1077	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1078	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1079	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1080	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1081	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1082	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1083	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1084	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1085	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1086	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1087	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1088	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1089	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1090	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1091	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1092	#11719919	C₂⁴	1	2	yes	—
1093	#11719919	C₂⁴	1	2	yes	—
1094	#11719919	C₂⁴	1	2	yes	—
1095	#11719919	C₂⁴	1	2	yes	—
1096	#11719919	C₂⁴	1	2	yes	—
1097	#11719919	C₂⁴	1	4	yes	—
1098	#11719919	C₂⁴	1	4	yes	—
1099	#11719919	C₂⁴	1	4	yes	—
1100	#11719919	C₂⁴	1	4	yes	—
1101	#11719919	C₂⁴	1	4	yes	—
1102	#11719919	C₂⁴	1	4	yes	—
1103	#11719919	C₂⁴	1	2	yes	—
1104	#11719919	C₂⁴	1	4	yes	—
1105	#11719919	C₂⁴	1	2	yes	—
1106	#11719919	C₂⁴	1	2	yes	—
1107	#11719919	C₂⁴	1	2	yes	—
1108	#11719919	C₂⁴	1	2	yes	—
1109	#11719919	C₂⁴	1	2	yes	—
1110	#11719919	C₂⁴	1	4	yes	—
1111	#11719919	C₂⁴	1	4	yes	—
1112	#11719919	C₂⁴	1	2	yes	—
1113	#11719919	C₂⁴	1	2	yes	—
1114	#11719919	C₂⁴	1	4	yes	—
1115	#11719919	C₂⁴	1	2	yes	—
1116	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1117	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1118	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1119	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1120	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1121	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1122	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1123	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1124	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1125	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1126	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1127	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1128	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1129	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1130	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1131	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1132	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1133	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1134	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1135	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1136	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1137	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1138	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1139	C₂³×C₅₃	—	2	4	no	—
1140	C₂³×C₅₃	—	2	4	no	—
1141	C₂³×C₅₃	—	2	8	no	—
1142	C₂³×C₅₃	—	4	2	no	—
1143	C₂³×C₅₃	—	4	4	no	—
1144	C₂³×C₅₃	—	4	4	no	—
1145	C₂³×C₅₃	C₂⁵	1	2	yes	—
1146	C₂³×C₅₃	C₂⁵	1	4	yes	—
1147	C₂³×C₅₃	C₂⁵	1	2	yes	—
1148	C₂³×C₅₃	C₂⁵	1	2	yes	—
1149	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1150	C₂²×D₅₃	—	2	2	no	—
1151	C₂²×D₅₃	—	2	2	no	—
1152	C₂²×D₅₃	—	2	2	no	—
1153	C₂²×D₅₃	—	2	4	no	—
1154	C₂²×D₅₃	—	2	4	no	—
1155	C₂²×D₅₃	—	2	4	no	—
1156	C₂²×D₅₃	—	2	4	no	—
1157	C₂²×D₅₃	—	2	4	no	—
1158	C₂²×D₅₃	—	2	4	no	—
1159	C₂²×D₅₃	—	2	4	no	—
1160	C₂²×D₅₃	—	2	8	no	—
1161	C₂²×D₅₃	—	4	2	no	—
1162	C₂²×D₅₃	—	4	2	no	—
1163	C₂²×D₅₃	—	4	2	no	—
1164	C₂²×D₅₃	—	4	2	no	—
1165	C₂²×D₅₃	—	4	2	no	—
1166	C₂²×D₅₃	—	4	2	no	—
1167	C₂²×D₅₃	—	4	2	no	—
1168	C₂²×D₅₃	—	4	4	no	—
1169	C₂²×D₅₃	—	4	4	no	—
1170	C₂²×D₅₃	—	4	32	no	—
1171	C₂²×D₅₃	C₂×#41	1	8	yes	complemented
1172	C₂²×D₅₃	C₂⁵	1	2	yes	—
1173	C₂²×D₅₃	C₂⁵	1	2	yes	—
1174	C₂²×D₅₃	C₂⁵	1	2	yes	—
1175	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1176	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1177	Q₈×C₅₃	—	2	2	no	—
1178	Q₈×C₅₃	—	4	2	no	—
1179	D₄×C₅₃	—	2	4	no	—
1180	D₄×C₅₃	—	2	8	no	—
1181	D₄×C₅₃	—	2	8	no	—
1182	D₄×C₅₃	—	2	4	no	—
1183	D₄×C₅₃	—	2	2	no	—
1184	D₄×C₅₃	—	2	4	no	—
1185	D₄×C₅₃	—	2	4	no	—
1186	D₄×C₅₃	—	2	2	no	—
1187	D₄×C₅₃	—	4	4	no	—
1188	D₄×C₅₃	—	4	4	no	—
1189	D₄×C₅₃	—	4	4	no	—
1190	D₄×C₅₃	—	4	4	no	—
1191	D₄×C₅₃	—	4	2	no	—
1192	D₄×C₅₃	C₂×#41	1	4	yes	complemented
1193	C₂×C₄×C₅₃	—	2	2	no	—
1194	C₂×C₄×C₅₃	—	2	2	no	—
1195	C₂×C₄×C₅₃	—	2	4	no	—
1196	C₂×C₄×C₅₃	—	2	4	no	—
1197	C₂×C₄×C₅₃	—	2	2	no	—
1198	C₂×C₄×C₅₃	—	2	4	no	—
1199	C₂×C₄×C₅₃	—	4	2	no	—
1200	C₂×C₄×C₅₃	—	4	2	no	—
1201	C₂×C₄×C₅₃	—	4	2	no	—
1202	C₂×C₄×C₅₃	—	4	4	no	—
1203	C₂×C₄×C₅₃	—	4	4	no	—
1204	C₂×C₄×C₅₃	—	4	4	no	—
1205	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1206	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1207	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1208	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1209	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1210	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1211	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1212	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1213	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1214	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1215	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1216	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1217	C₂²⋊D₅₃	—	2	4	no	—
1218	C₂²⋊D₅₃	—	2	8	no	—
1219	C₂²⋊D₅₃	—	2	4	no	—
1220	C₂²⋊D₅₃	—	2	8	no	—
1221	C₂²⋊D₅₃	—	2	4	no	—
1222	C₂²⋊D₅₃	—	2	4	no	—
1223	C₂²⋊D₅₃	—	2	8	no	—
1224	C₂²⋊D₅₃	—	2	8	no	—
1225	C₂²⋊D₅₃	—	2	8	no	—
1226	C₂²⋊D₅₃	—	2	4	no	—
1227	C₂²⋊D₅₃	—	2	4	no	—
1228	C₂²⋊D₅₃	—	2	4	no	—
1229	C₂²⋊D₅₃	—	4	4	no	—
1230	C₂²⋊D₅₃	—	4	4	no	—
1231	C₂²⋊D₅₃	—	4	4	no	—
1232	C₂²⋊D₅₃	—	4	4	no	—
1233	C₂²⋊D₅₃	—	4	4	no	—
1234	C₂²⋊D₅₃	—	4	2	no	—
1235	C₂²⋊D₅₃	C₂×#41	1	8	yes	complemented
1236	C₂×Dic₅₃	—	2	8	no	—
1237	C₂×Dic₅₃	—	2	2	no	—
1238	C₂×Dic₅₃	—	2	2	no	—
1239	C₂×Dic₅₃	—	2	8	no	—
1240	C₂×Dic₅₃	—	2	2	no	—
1241	C₂×Dic₅₃	—	2	4	no	—
1242	C₂×Dic₅₃	—	2	4	no	—
1243	C₂×Dic₅₃	—	2	8	no	—
1244	C₂×Dic₅₃	—	2	4	no	—
1245	C₂×Dic₅₃	—	4	4	no	—
1246	C₂×Dic₅₃	—	4	2	no	—
1247	C₂×Dic₅₃	—	4	2	no	—
1248	C₂×Dic₅₃	—	4	2	no	—
1249	C₂×Dic₅₃	—	4	4	no	—
1250	C₂×Dic₅₃	—	4	4	no	—
1251	C₂×Dic₅₃	—	4	2	no	—
1252	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1253	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1254	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1255	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1256	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1257	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1258	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1259	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1260	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1261	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1262	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1263	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1264	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1265	D₂₁₂	—	2	4	no	—
1266	D₂₁₂	—	2	4	no	—
1267	D₂₁₂	—	2	4	no	—
1268	D₂₁₂	—	2	2	no	—
1269	D₂₁₂	—	2	2	no	—
1270	D₂₁₂	—	4	4	no	—
1271	D₂₁₂	C₂×#41	1	4	yes	complemented
1272	C₄×D₅₃	—	2	2	no	—
1273	C₄×D₅₃	—	2	8	no	—
1274	C₄×D₅₃	—	2	2	no	—
1275	C₄×D₅₃	—	2	4	no	—
1276	C₄×D₅₃	—	2	4	no	—
1277	C₄×D₅₃	—	2	2	no	—
1278	C₄×D₅₃	—	2	4	no	—
1279	C₄×D₅₃	—	2	2	no	—
1280	C₄×D₅₃	—	2	4	no	—
1281	C₄×D₅₃	—	2	4	no	—
1282	C₄×D₅₃	—	2	2	no	—
1283	C₄×D₅₃	—	2	2	no	—
1284	C₄×D₅₃	—	2	4	no	—
1285	C₄×D₅₃	—	2	4	no	—
1286	C₄×D₅₃	—	2	4	no	—
1287	C₄×D₅₃	—	4	2	no	—
1288	C₄×D₅₃	—	4	2	no	—
1289	C₄×D₅₃	—	4	2	no	—
1290	C₄×D₅₃	—	4	2	no	—
1291	C₄×D₅₃	—	4	2	no	—
1292	C₄×D₅₃	—	4	2	no	—
1293	C₄×D₅₃	—	4	1	no	—
1294	C₄×D₅₃	—	4	1	no	—
1295	C₄×D₅₃	—	4	1	no	—
1296	C₄×D₅₃	—	4	1	no	—
1297	C₄×D₅₃	—	4	4	no	—
1298	C₄×D₅₃	—	4	4	no	—
1299	C₄×D₅₃	—	4	4	no	—
1300	C₄×D₅₃	—	4	2	no	—
1301	C₄×D₅₃	C₂×#41	1	4	yes	complemented
1302	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	complemented
1303	Dic₁₀₆	—	2	4	no	—
1304	Dic₁₀₆	—	2	2	no	—
1305	Dic₁₀₆	—	2	4	no	—
1306	Dic₁₀₆	—	2	4	no	—
1307	Dic₁₀₆	—	4	4	no	—
1308	Dic₁₀₆	—	4	4	no	—
1309	Dic₁₀₆	—	4	2	no	—
1310	#62773	—	53	1	no	maximal, Sylow
1311	C₂²×C₅₃	—	2	1	no	—
1312	C₂²×C₅₃	—	2	2	no	—
1313	C₂²×C₅₃	—	2	1	no	—
1314	C₂²×C₅₃	—	2	2	no	—
1315	C₂²×C₅₃	—	2	4	no	—
1316	C₂²×C₅₃	—	2	2	no	—
1317	C₂²×C₅₃	—	2	2	no	—
1318	C₂²×C₅₃	—	2	2	no	—
1319	C₂²×C₅₃	—	2	4	no	—
1320	C₂²×C₅₃	—	2	2	no	—
1321	C₂²×C₅₃	—	2	2	no	—
1322	C₂²×C₅₃	—	2	4	no	—
1323	C₂²×C₅₃	—	2	2	no	—
1324	C₂²×C₅₃	—	4	8	no	—
1325	C₂²×C₅₃	—	8	8	no	—
1326	C₂²×C₅₃	C₂²×#41	1	4	yes	—
1327	C₂²×C₅₃	#585	1	2	yes	—
1328	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1329	C₂×D₅₃	—	2	8	no	—
1330	C₂×D₅₃	—	2	1	no	—
1331	C₂×D₅₃	—	2	1	no	—
1332	C₂×D₅₃	—	2	2	no	—
1333	C₂×D₅₃	—	2	1	no	—
1334	C₂×D₅₃	—	2	1	no	—
1335	C₂×D₅₃	—	2	2	no	—
1336	C₂×D₅₃	—	2	2	no	—
1337	C₂×D₅₃	—	2	2	no	—
1338	C₂×D₅₃	—	2	2	no	—
1339	C₂×D₅₃	—	2	2	no	—
1340	C₂×D₅₃	—	2	2	no	—
1341	C₂×D₅₃	—	2	2	no	—
1342	C₂×D₅₃	—	4	8	no	—
1343	C₂×D₅₃	—	4	8	no	—
1344	C₂×D₅₃	—	4	8	no	—
1345	C₂×D₅₃	—	4	8	no	—
1346	C₂×D₅₃	—	4	8	no	—
1347	C₂×D₅₃	—	8	8	no	—
1348	C₂×D₅₃	C₂²×#41	1	4	yes	—
1349	C₂×D₅₃	C₂²×#41	1	2	yes	—
1350	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1351	C₄×C₅₃	—	2	2	no	—
1352	C₄×C₅₃	—	2	1	no	—
1353	C₄×C₅₃	—	2	2	no	—
1354	C₄×C₅₃	—	2	2	no	—
1355	C₄×C₅₃	—	2	1	no	—
1356	C₄×C₅₃	—	2	2	no	—
1357	C₄×C₅₃	—	2	2	no	—
1358	C₄×C₅₃	—	2	1	no	—
1359	C₄×C₅₃	—	2	1	no	—
1360	C₄×C₅₃	—	2	4	no	—
1361	C₄×C₅₃	C₂²×#41	1	2	yes	—
1362	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1363	Dic₅₃	—	2	4	no	—
1364	Dic₅₃	—	2	2	no	—
1365	Dic₅₃	—	2	1	no	—
1366	Dic₅₃	—	2	4	no	—
1367	Dic₅₃	—	2	2	no	—
1368	Dic₅₃	—	2	2	no	—
1369	Dic₅₃	—	2	1	no	—
1370	Dic₅₃	—	2	2	no	—
1371	Dic₅₃	—	2	1	no	—
1372	Dic₅₃	—	2	2	no	—
1373	Dic₅₃	—	2	1	no	—
1374	Dic₅₃	C₂²×#41	1	2	yes	—
1375	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1376	#3520	—	53	1	no	—
1377	#3520	—	53	2	no	—
1378	#3520	—	53	1	no	—
1379	#3519	—	53	1	no	—
1380	#3519	—	53	2	no	—
1381	#3519	D₅₃	1	1	yes	characteristic, complemented
1382	#3513	—	53	2	no	—
1383	#3513	—	53	4	no	—
1384	#3513	—	53	2	no	—
1385	#3506	—	53	1	no	—
1386	#3506	—	53	1	no	—
1387	#3505	—	53	2	no	—
1388	#3505	—	53	2	no	—
1389	#3501	—	53	1	no	—
1390	#3496	—	53	1	no	—
1391	#3492	—	53	2	no	—
1392	#3490	—	53	4	no	—
1393	#3484	—	53	2	no	—
1394	#3481	—	53	2	no	—
1395	#3481	—	53	4	no	—
1396	#3481	—	53	2	no	—
1397	#3475	—	53	1	no	—
1398	#3475	—	53	1	no	—
1399	#3475	—	53	2	no	—
1400	D₄×#41	—	53	1	no	—
1401	D₄×#41	—	53	2	no	—
1402	D₄×#41	—	53	1	no	—
1403	#3460	—	53	2	no	—
1404	#3459	—	53	4	no	—
1405	#3444	—	53	1	no	—
1406	#3444	—	53	1	no	—
1407	C₂×#525	—	53	2	no	—
1408	C₂×#525	—	53	2	no	—
1409	C₄×H(5,𝔽₂)	—	53	2	no	—
1410	C₂²×C₄×D₄	—	53	1	no	—
1411	C₂×C₅₃	—	2	2	no	—
1412	C₂×C₅₃	—	2	4	no	—
1413	C₂×C₅₃	—	4	2	no	—
1414	C₂×C₅₃	—	4	4	no	—
1415	C₂×C₅₃	—	4	2	no	—
1416	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1417	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1418	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1419	D₅₃	—	2	2	no	—
1420	D₅₃	—	2	2	no	—
1421	D₅₃	—	2	4	no	—
1422	D₅₃	—	4	2	no	—
1423	D₅₃	—	4	2	no	—
1424	C₂×H(5,𝔽₂)	—	53	2	no	—
1425	C₂²×#41	—	53	2	no	—
1426	C₂²×#41	—	53	2	no	—
1427	C₂³×D₄	—	53	1	no	—
1428	C₂⁴×C₄	—	53	2	no	—
1429	#559	—	53	2	no	—
1430	#559	—	53	4	no	—
1431	#559	—	53	2	no	—
1432	#556	—	53	1	no	—
1433	#556	—	53	1	no	—
1434	#556	—	53	2	no	—
1435	#555	—	53	1	no	—
1436	#555	—	53	2	no	—
1437	#555	C₂×D₅₃	1	1	yes	characteristic, complemented
1438	#554	—	53	1	no	—
1439	#554	—	53	2	no	—
1440	#554	—	53	4	no	—
1441	#554	—	53	2	no	—
1442	#554	—	53	2	no	—
1443	#554	—	53	4	no	—
1444	#554	—	53	2	no	—
1445	#554	—	53	2	no	—
1446	#554	C₂×D₅₃	1	1	yes	characteristic, complemented
1447	#553	—	53	4	no	—
1448	#553	—	53	4	no	—
1449	#553	—	53	2	no	—
1450	#553	—	53	4	no	—
1451	#553	—	53	2	no	—
1452	#553	—	53	4	no	—
1453	#553	—	53	2	no	—
1454	#553	—	53	4	no	—
1455	#553	—	53	4	no	—
1456	#553	—	53	2	no	—
1457	#553	—	53	2	no	—
1458	#553	—	53	2	no	—
1459	#553	C₂×D₅₃	1	2	yes	complemented
1460	#553	C₂×D₅₃	1	2	yes	complemented
1461	#552	—	53	4	no	—
1462	#552	—	53	2	no	—
1463	#552	—	53	2	no	—
1464	#552	—	53	2	no	—
1465	#552	—	53	2	no	—
1466	#552	—	53	2	no	—
1467	#552	—	53	2	no	—
1468	#551	—	53	4	no	—
1469	#551	—	53	4	no	—
1470	#551	—	53	4	no	—
1471	#551	—	53	4	no	—
1472	#551	—	53	4	no	—
1473	#551	—	53	4	no	—
1474	#551	—	53	4	no	—
1475	#551	—	53	4	no	—
1476	#551	—	53	4	no	—
1477	#551	—	53	4	no	—
1478	#551	—	53	4	no	—
1479	#551	—	53	4	no	—
1480	#550	—	53	1	no	—
1481	#550	—	53	2	no	—
1482	#550	C₂×D₅₃	1	1	yes	characteristic, complemented
1483	D₄×Q₈	—	53	2	no	—
1484	D₄×Q₈	—	53	1	no	—
1485	D₄×Q₈	—	53	1	no	—
1486	#548	—	53	2	no	—
1487	#548	—	53	2	no	—
1488	#548	—	53	2	no	—
1489	#548	—	53	2	no	—
1490	#547	—	53	2	no	—
1491	#547	—	53	4	no	—
1492	#547	—	53	2	no	—
1493	#547	—	53	2	no	—
1494	#547	—	53	1	no	—
1495	#547	—	53	1	no	—
1496	#547	—	53	1	no	—
1497	#547	—	53	2	no	—
1498	#547	—	53	1	no	—
1499	#546	—	53	4	no	—
1500	#546	—	53	2	no	—
1501	#546	—	53	4	no	—
1502	#546	—	53	2	no	—
1503	#546	—	53	2	no	—
1504	#546	—	53	2	no	—
1505	#546	—	53	4	no	—
1506	#546	—	53	4	no	—
1507	#546	—	53	4	no	—
1508	#546	—	53	2	no	—
1509	#546	—	53	2	no	—
1510	#546	—	53	4	no	—
1511	#546	—	53	4	no	—
1512	#546	—	53	4	no	—
1513	#546	—	53	4	no	—
1514	#546	—	53	2	no	—
1515	#546	—	53	2	no	—
1516	#546	—	53	2	no	—
1517	#546	—	53	4	no	—
1518	#546	C₂×D₅₃	1	4	yes	complemented
1519	#546	C₂×D₅₃	1	2	yes	complemented
1520	D₄²	—	53	2	no	—
1521	D₄²	—	53	4	no	—
1522	D₄²	—	53	2	no	—
1523	D₄²	—	53	2	no	—
1524	D₄²	—	53	1	no	—
1525	D₄²	—	53	2	no	—
1526	D₄²	—	53	4	no	—
1527	D₄²	C₂×D₅₃	1	2	yes	complemented
1528	D₄²	C₂×D₅₃	1	1	yes	characteristic, complemented
1529	#544	—	53	2	no	—
1530	#543	—	53	4	no	—
1531	#542	—	53	4	no	—
1532	#542	—	53	2	no	—
1533	#542	—	53	2	no	—
1534	#540	—	53	4	no	—
1535	#540	—	53	2	no	—
1536	#540	C₂×D₅₃	1	2	yes	complemented
1537	#539	—	53	4	no	—
1538	#539	—	53	4	no	—
1539	#539	—	53	4	no	—
1540	#539	—	53	4	no	—
1541	#539	—	53	4	no	—
1542	#539	—	53	4	no	—
1543	#538	—	53	4	no	—
1544	#538	—	53	4	no	—
1545	#538	—	53	4	no	—
1546	#538	—	53	4	no	—
1547	#538	—	53	4	no	—
1548	#538	—	53	4	no	—
1549	#538	—	53	4	no	—
1550	#538	C₂×D₅₃	1	4	yes	complemented
1551	#537	—	53	2	no	—
1552	#535	—	53	2	no	—
1553	#535	—	53	2	no	—
1554	#534	—	53	4	no	—
1555	#534	—	53	4	no	—
1556	#534	—	53	4	no	—
1557	#533	—	53	1	no	—
1558	#533	—	53	1	no	—
1559	#533	—	53	1	no	—
1560	#533	—	53	1	no	—
1561	#533	—	53	1	no	—
1562	#533	—	53	1	no	—
1563	#532	—	53	2	no	—
1564	#532	—	53	1	no	—
1565	#532	—	53	1	no	—
1566	#532	—	53	1	no	—
1567	#532	—	53	1	no	—
1568	#532	—	53	2	no	—
1569	#532	—	53	4	no	—
1570	#532	—	53	1	no	—
1571	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1572	#529	—	53	2	no	—
1573	#529	—	53	2	no	—
1574	#529	—	53	4	no	—
1575	#529	—	53	1	no	—
1576	#529	—	53	2	no	—
1577	#529	—	53	2	no	—
1578	#529	—	53	1	no	—
1579	#529	—	53	2	no	—
1580	#529	—	53	4	no	—
1581	#529	—	53	2	no	—
1582	#529	—	53	4	no	—
1583	#529	—	53	4	no	—
1584	#529	—	53	2	no	—
1585	#529	—	53	2	no	—
1586	#529	—	53	4	no	—
1587	#529	—	53	2	no	—
1588	#529	—	53	2	no	—
1589	#529	—	53	2	no	—
1590	#529	—	53	2	no	—
1591	#529	—	53	1	no	—
1592	#529	C₂×D₅₃	1	1	yes	characteristic, complemented
1593	#525	—	53	2	no	—
1594	#525	—	53	2	no	—
1595	#525	—	53	2	no	—
1596	#525	—	53	2	no	—
1597	#525	—	53	4	no	—
1598	#525	—	53	4	no	—
1599	#525	—	53	1	no	—
1600	#525	—	53	2	no	—
1601	#525	—	53	2	no	—
1602	#525	—	53	1	no	—
1603	#525	—	53	4	no	—
1604	#525	—	53	4	no	—
1605	#525	—	53	2	no	—
1606	#525	—	53	2	no	—
1607	#525	—	53	2	no	—
1608	#525	—	53	4	no	—
1609	#525	—	53	2	no	—
1610	#525	—	53	2	no	—
1611	#525	—	53	2	no	—
1612	#525	—	53	2	no	—
1613	#525	—	53	2	no	—
1614	#525	—	53	4	no	—
1615	#525	—	53	4	no	—
1616	#525	—	53	4	no	—
1617	#525	—	53	4	no	—
1618	#525	—	53	4	no	—
1619	#525	—	53	4	no	—
1620	#525	—	53	2	no	—
1621	#525	—	53	4	no	—
1622	#525	—	53	2	no	—
1623	#525	C₂×D₅₃	1	2	yes	complemented
1624	C₂×#123	—	53	4	no	—
1625	C₂×#123	—	53	4	no	—
1626	C₂×C₂²⋊Q₈	—	53	2	no	—
1627	C₂×C₂²⋊Q₈	—	53	2	no	—
1628	C₂×C₂²⋊Q₈	—	53	2	no	—
1629	C₂×C₂²⋊Q₈	—	53	2	no	—
1630	C₂×#121	—	53	2	no	—
1631	C₂×#121	—	53	2	no	—
1632	C₂×#121	—	53	2	no	—
1633	C₂×#121	C₂×D₅₃	1	2	yes	complemented
1634	C₂×#120	—	53	4	no	—
1635	C₂×#120	—	53	4	no	—
1636	#520	—	53	2	no	—
1637	#520	—	53	2	no	—
1638	#520	—	53	4	no	—
1639	#520	—	53	2	no	—
1640	#520	—	53	2	no	—
1641	#518	—	53	2	no	—
1642	#518	—	53	4	no	—
1643	#518	—	53	2	no	—
1644	#518	—	53	4	no	—
1645	#518	—	53	4	no	—
1646	#518	C₂×D₅₃	1	2	yes	complemented
1647	C₄×#41	—	53	2	no	—
1648	C₄×#41	—	53	1	no	—
1649	C₄×#41	—	53	2	no	—
1650	C₄×#41	—	53	2	no	—
1651	C₄×#41	—	53	2	no	—
1652	C₄×#41	—	53	4	no	—
1653	C₄×#41	—	53	2	no	—
1654	C₄×#41	—	53	1	no	—
1655	C₄×#41	—	53	2	no	—
1656	C₄×#41	—	53	2	no	—
1657	C₂×C₄×D₄	—	53	1	no	—
1658	C₂×C₄×D₄	—	53	2	no	—
1659	C₂×C₄×D₄	—	53	4	no	—
1660	C₂×C₄×D₄	—	53	2	no	—
1661	C₂×C₄×D₄	—	53	1	no	—
1662	C₂×C₄×D₄	—	53	1	no	—
1663	C₂×C₄×D₄	—	53	2	no	—
1664	C₂×C₄×D₄	—	53	1	no	—
1665	C₂×C₄×D₄	—	53	1	no	—
1666	C₂×C₄×D₄	—	53	2	no	—
1667	C₂×C₄×D₄	—	53	1	no	—
1668	C₂×C₄×D₄	—	53	2	no	—
1669	C₂×C₄×D₄	—	53	1	no	—
1670	C₂×C₄×D₄	—	53	1	no	—
1671	C₂×C₄×D₄	—	53	2	no	—
1672	C₂×C₄×D₄	—	53	1	no	—
1673	C₂×C₄×D₄	—	53	4	no	—
1674	C₂×C₄×D₄	—	53	4	no	—
1675	C₂×C₄×D₄	—	53	2	no	—
1676	C₂×C₄×D₄	—	53	1	no	—
1677	C₂×C₄×D₄	—	53	2	no	—
1678	C₂×C₄×D₄	—	53	4	no	—
1679	C₂×C₄×D₄	—	53	4	no	—
1680	C₂×C₄×D₄	—	53	1	no	—
1681	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1682	C₂×#117	—	53	2	no	—
1683	C₂×#117	—	53	2	no	—
1684	C₂²×C₄⋊C₄	—	53	1	no	—
1685	C₂²×C₂²⋊C₄	—	53	2	no	—
1686	C₂²×C₄²	—	53	1	no	—
1687	C₅₃	#62773	1	1	yes	characteristic, complemented, Sylow
1688	C₂⁵	—	53	2	no	—
1689	H(5,𝔽₂)	—	106	16	no	—
1690	C₂×#41	—	53	1	no	—
1691	C₂×#41	—	53	2	no	—
1692	C₂×#41	—	53	2	no	—
1693	C₂×#41	—	53	4	no	—
1694	C₂×#41	—	53	2	no	—
1695	C₂×#41	—	53	1	no	—
1696	C₂×#41	—	53	2	no	—
1697	C₂×#41	—	53	4	no	—
1698	C₂×#41	—	53	4	no	—
1699	C₂×#41	—	53	4	no	—
1700	C₂×#41	—	53	2	no	—
1701	C₂×#41	—	53	2	no	—
1702	C₂×#41	—	53	2	no	—
1703	C₂×#41	—	53	2	no	—
1704	C₂×#41	—	53	4	no	—
1705	C₂×#41	—	53	2	no	—
1706	C₂×#41	—	212	8	no	—
1707	C₂×#41	—	212	8	no	—
1708	C₂×#41	C₂²×D₅₃	1	2	yes	—
1709	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1710	C₂²×Q₈	—	53	2	no	—
1711	C₂²×Q₈	—	53	2	no	—
1712	C₂²×D₄	—	53	1	no	—
1713	C₂²×D₄	—	53	2	no	—
1714	C₂²×D₄	—	53	4	no	—
1715	C₂²×D₄	—	53	4	no	—
1716	C₂²×D₄	—	53	4	no	—
1717	C₂²×D₄	—	53	2	no	—
1718	C₂²×D₄	—	53	1	no	—
1719	C₂²×D₄	—	53	2	no	—
1720	C₂²×D₄	—	53	1	no	—
1721	C₂²×D₄	—	53	1	no	—
1722	C₂²×D₄	—	53	4	no	—
1723	C₂²×D₄	—	53	2	no	—
1724	C₂²×D₄	—	53	4	no	—
1725	C₂²×D₄	—	53	4	no	—
1726	C₂²×D₄	—	53	2	no	—
1727	C₂²×D₄	—	53	1	no	—
1728	C₂²×D₄	—	106	8	no	—
1729	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1730	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1731	C₂²×D₄	C₂²×D₅₃	1	4	yes	—
1732	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1733	C₂³×C₄	—	53	2	no	—
1734	C₂³×C₄	—	53	4	no	—
1735	C₂³×C₄	—	53	1	no	—
1736	C₂³×C₄	—	53	2	no	—
1737	C₂³×C₄	—	53	2	no	—
1738	C₂³×C₄	—	53	1	no	—
1739	C₂³×C₄	—	53	1	no	—
1740	C₂³×C₄	—	53	2	no	—
1741	C₂³×C₄	—	53	2	no	—
1742	C₂³×C₄	—	53	2	no	—
1743	C₂³×C₄	—	53	4	no	—
1744	C₂³×C₄	—	53	2	no	—
1745	C₂³×C₄	—	53	2	no	—
1746	C₂³×C₄	—	53	2	no	—
1747	C₂³×C₄	—	53	2	no	—
1748	C₂³×C₄	—	53	2	no	—
1749	C₂³×C₄	—	53	2	no	—
1750	C₂³×C₄	—	212	8	no	—
1751	C₂³×C₄	C₂²×D₅₃	1	2	yes	—
1752	C₄⋊Q₈	—	53	1	no	—
1753	C₄⋊Q₈	—	53	1	no	—
1754	C₄⋊Q₈	—	53	1	no	—
1755	C₄⋊Q₈	—	53	4	no	—
1756	C₄⋊Q₈	—	53	2	no	—
1757	C₄⋊Q₈	—	53	1	no	—
1758	C₄⋊Q₈	—	53	1	no	—
1759	C₄⋊Q₈	—	53	2	no	—
1760	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1761	#127	—	53	1	no	—
1762	#127	—	53	4	no	—
1763	#127	—	53	2	no	—
1764	#127	C₂²×D₅₃	1	2	yes	—
1765	#127	C₂²×D₅₃	1	1	yes	characteristic, complemented
1766	#126	—	53	2	no	—
1767	#126	—	53	4	no	—
1768	#126	—	53	4	no	—
1769	#126	—	53	4	no	—
1770	#126	—	53	4	no	—
1771	#126	—	53	4	no	—
1772	#126	—	53	4	no	—
1773	#126	—	53	2	no	—
1774	#126	—	53	4	no	—
1775	#126	—	53	4	no	—
1776	#126	—	53	4	no	—
1777	#126	—	53	4	no	—
1778	#126	—	53	4	no	—
1779	#126	—	53	4	no	—
1780	#126	—	53	2	no	—
1781	#126	—	53	4	no	—
1782	#126	C₂²×D₅₃	1	2	yes	complemented
1783	#126	C₂²×D₅₃	1	4	yes	complemented
1784	#125	—	53	2	no	—
1785	#125	—	53	2	no	—
1786	#125	—	53	2	no	—
1787	#125	—	53	2	no	—
1788	#125	—	53	4	no	—
1789	#125	—	53	4	no	—
1790	#125	—	53	4	no	—
1791	#125	—	53	4	no	—
1792	#125	—	53	2	no	—
1793	#125	—	53	2	no	—
1794	#125	—	53	1	no	—
1795	#125	—	53	4	no	—
1796	#125	C₂²×D₅₃	1	1	yes	characteristic, complemented
1797	#125	C₂²×D₅₃	1	2	yes	complemented
1798	#124	—	53	4	no	—
1799	#124	—	53	2	no	—
1800	#124	—	53	2	no	—
1801	#124	—	53	2	no	—
1802	#124	—	53	4	no	—
1803	#124	—	53	4	no	—
1804	#124	—	53	2	no	—
1805	#124	—	53	2	no	—
1806	#124	—	53	4	no	—
1807	#124	—	53	4	no	—
1808	#124	—	53	4	no	—
1809	#124	—	53	4	no	—
1810	#124	—	53	4	no	—
1811	#124	—	53	1	no	—
1812	#124	—	53	2	no	—
1813	#124	C₂²×D₅₃	1	2	yes	complemented
1814	#124	C₂²×D₅₃	1	1	yes	characteristic, complemented
1815	#124	C₂²×D₅₃	1	4	yes	complemented
1816	#123	—	53	4	no	—
1817	#123	—	53	4	no	—
1818	#123	—	53	4	no	—
1819	#123	—	53	4	no	—
1820	#123	—	53	4	no	—
1821	#123	—	53	4	no	—
1822	#123	—	53	4	no	—
1823	#123	—	53	4	no	—
1824	#123	—	53	2	no	—
1825	#123	—	53	4	no	—
1826	#123	—	53	4	no	—
1827	#123	—	53	2	no	—
1828	#123	—	53	4	no	—
1829	#123	—	53	2	no	—
1830	#123	—	53	4	no	—
1831	#123	—	53	4	no	—
1832	#123	—	53	4	no	—
1833	#123	—	53	2	no	—
1834	#123	—	53	4	no	—
1835	#123	—	53	4	no	—
1836	#123	—	53	4	no	—
1837	#123	—	53	4	no	—
1838	#123	—	53	4	no	—
1839	#123	—	53	4	no	—
1840	#123	—	53	4	no	—
1841	#123	—	53	4	no	—
1842	#123	—	53	4	no	—
1843	#123	—	53	2	no	—
1844	#123	—	53	4	no	—
1845	#123	—	53	4	no	—
1846	#123	—	53	4	no	—
1847	#123	—	53	4	no	—
1848	#123	—	53	4	no	—
1849	#123	—	53	4	no	—
1850	#123	—	53	4	no	—
1851	#123	—	53	4	no	—
1852	#123	—	53	4	no	—
1853	#123	C₂²×D₅₃	1	2	yes	—
1854	#123	C₂²×D₅₃	1	4	yes	complemented
1855	#123	C₂²×D₅₃	1	4	yes	complemented
1856	#123	C₂²×D₅₃	1	4	yes	complemented
1857	C₂²⋊Q₈	—	53	1	no	—
1858	C₂²⋊Q₈	—	53	2	no	—
1859	C₂²⋊Q₈	—	53	2	no	—
1860	C₂²⋊Q₈	—	53	2	no	—
1861	C₂²⋊Q₈	—	53	4	no	—
1862	C₂²⋊Q₈	—	53	1	no	—
1863	C₂²⋊Q₈	—	53	2	no	—
1864	C₂²⋊Q₈	—	53	4	no	—
1865	C₂²⋊Q₈	—	53	2	no	—
1866	C₂²⋊Q₈	—	53	2	no	—
1867	C₂²⋊Q₈	—	53	2	no	—
1868	C₂²⋊Q₈	—	53	4	no	—
1869	C₂²⋊Q₈	—	53	2	no	—
1870	C₂²⋊Q₈	—	53	4	no	—
1871	C₂²⋊Q₈	—	53	2	no	—
1872	C₂²⋊Q₈	—	53	4	no	—
1873	C₂²⋊Q₈	—	53	2	no	—
1874	C₂²⋊Q₈	—	53	1	no	—
1875	C₂²⋊Q₈	—	53	4	no	—
1876	C₂²⋊Q₈	—	53	4	no	—
1877	C₂²⋊Q₈	—	53	4	no	—
1878	C₂²⋊Q₈	—	53	2	no	—
1879	C₂²⋊Q₈	—	53	2	no	—
1880	C₂²⋊Q₈	—	53	2	no	—
1881	C₂²⋊Q₈	—	53	4	no	—
1882	C₂²⋊Q₈	—	53	2	no	—
1883	C₂²⋊Q₈	—	53	2	no	—
1884	C₂²⋊Q₈	—	53	2	no	—
1885	C₂²⋊Q₈	—	53	2	no	—
1886	C₂²⋊Q₈	—	53	4	no	—
1887	C₂²⋊Q₈	—	53	4	no	—
1888	C₂²⋊Q₈	—	53	4	no	—
1889	C₂²⋊Q₈	—	53	2	no	—
1890	C₂²⋊Q₈	—	53	4	no	—
1891	C₂²⋊Q₈	—	53	4	no	—
1892	C₂²⋊Q₈	—	53	4	no	—
1893	C₂²⋊Q₈	—	53	2	no	—
1894	C₂²⋊Q₈	—	53	4	no	—
1895	C₂²⋊Q₈	—	53	4	no	—
1896	C₂²⋊Q₈	—	53	4	no	—
1897	C₂²⋊Q₈	—	53	4	no	—
1898	C₂²⋊Q₈	—	53	4	no	—
1899	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1900	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1901	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1902	#121	—	53	2	no	—
1903	#121	—	53	1	no	—
1904	#121	—	53	4	no	—
1905	#121	—	53	2	no	—
1906	#121	—	53	2	no	—
1907	#121	—	53	4	no	—
1908	#121	—	53	4	no	—
1909	#121	—	53	4	no	—
1910	#121	—	53	2	no	—
1911	#121	—	53	2	no	—
1912	#121	—	53	2	no	—
1913	#121	—	53	2	no	—
1914	#121	—	53	2	no	—
1915	#121	—	53	4	no	—
1916	#121	—	53	4	no	—
1917	#121	—	53	4	no	—
1918	#121	—	53	4	no	—
1919	#121	—	53	4	no	—
1920	#121	—	53	4	no	—
1921	#121	—	53	4	no	—
1922	#121	—	53	2	no	—
1923	#121	—	53	4	no	—
1924	#121	—	53	2	no	—
1925	#121	—	53	4	no	—
1926	#121	—	53	4	no	—
1927	#121	—	53	4	no	—
1928	#121	—	53	1	no	—
1929	#121	—	53	2	no	—
1930	#121	—	53	4	no	—
1931	#121	—	53	2	no	—
1932	#121	—	53	4	no	—
1933	#121	—	53	1	no	—
1934	#121	—	53	2	no	—
1935	#121	—	53	2	no	—
1936	#121	—	53	4	no	—
1937	#121	—	53	4	no	—
1938	#121	—	53	2	no	—
1939	#121	—	53	2	no	—
1940	#121	—	53	2	no	—
1941	#121	—	53	4	no	—
1942	#121	—	53	4	no	—
1943	#121	—	53	4	no	—
1944	#121	C₂²×D₅₃	1	2	yes	—
1945	#121	C₂²×D₅₃	1	1	yes	characteristic
1946	#121	C₂²×D₅₃	1	4	yes	—
1947	#121	C₂²×D₅₃	1	2	yes	—
1948	#121	C₂²×D₅₃	1	4	yes	—
1949	#121	C₂²×D₅₃	1	2	yes	—
1950	#121	C₂²×D₅₃	1	2	yes	complemented
1951	#121	C₂²×D₅₃	1	4	yes	complemented
1952	#121	C₂²×D₅₃	1	2	yes	complemented
1953	#121	C₂²×D₅₃	1	2	yes	complemented
1954	#121	C₂²×D₅₃	1	4	yes	complemented
1955	#121	C₂²×D₅₃	1	2	yes	complemented
1956	#121	C₂²×D₅₃	1	4	yes	complemented
1957	#120	—	53	4	no	—
1958	#120	—	53	4	no	—
1959	#120	—	53	4	no	—
1960	#120	—	53	2	no	—
1961	#120	—	53	4	no	—
1962	#120	—	53	4	no	—
1963	#120	—	53	4	no	—
1964	#120	—	53	4	no	—
1965	#120	—	53	4	no	—
1966	#120	—	53	4	no	—
1967	#120	—	53	4	no	—
1968	#120	—	53	4	no	—
1969	#120	—	53	4	no	—
1970	#120	—	53	4	no	—
1971	#120	—	53	4	no	—
1972	#120	—	53	4	no	—
1973	#120	—	53	2	no	—
1974	#120	—	53	4	no	—
1975	#120	—	53	4	no	—
1976	#120	—	53	4	no	—
1977	#120	C₂²×D₅₃	1	4	yes	—
1978	#120	C₂²×D₅₃	1	4	yes	—
1979	#120	C₂²×D₅₃	1	4	yes	complemented
1980	C₄×Q₈	—	53	2	no	—
1981	C₄×Q₈	—	53	1	no	—
1982	C₄×Q₈	—	53	2	no	—
1983	C₄×Q₈	—	53	2	no	—
1984	C₄×Q₈	—	53	2	no	—
1985	C₄×Q₈	—	53	2	no	—
1986	C₄×Q₈	—	53	2	no	—
1987	C₄×Q₈	—	53	2	no	—
1988	C₄×Q₈	—	53	1	no	—
1989	C₄×Q₈	—	53	2	no	—
1990	C₄×Q₈	—	53	2	no	—
1991	C₄×Q₈	—	53	2	no	—
1992	C₄×Q₈	—	53	4	no	—
1993	C₄×Q₈	—	53	2	no	—
1994	C₄×Q₈	—	53	1	no	—
1995	C₄×Q₈	—	53	2	no	—
1996	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1997	C₄×D₄	—	53	1	no	—
1998	C₄×D₄	—	53	2	no	—
1999	C₄×D₄	—	53	1	no	—
2000	C₄×D₄	—	53	1	no	—
2001	C₄×D₄	—	53	2	no	—
2002	C₄×D₄	—	53	1	no	—
2003	C₄×D₄	—	53	2	no	—
2004	C₄×D₄	—	53	4	no	—
2005	C₄×D₄	—	53	4	no	—
2006	C₄×D₄	—	53	2	no	—
2007	C₄×D₄	—	53	2	no	—
2008	C₄×D₄	—	53	4	no	—
2009	C₄×D₄	—	53	2	no	—
2010	C₄×D₄	—	53	4	no	—
2011	C₄×D₄	—	53	4	no	—
2012	C₄×D₄	—	53	4	no	—
2013	C₄×D₄	—	53	4	no	—
2014	C₄×D₄	—	53	4	no	—
2015	C₄×D₄	—	53	4	no	—
2016	C₄×D₄	—	53	2	no	—
2017	C₄×D₄	—	53	4	no	—
2018	C₄×D₄	—	53	2	no	—
2019	C₄×D₄	—	53	2	no	—
2020	C₄×D₄	—	53	1	no	—
2021	C₄×D₄	—	53	2	no	—
2022	C₄×D₄	—	53	2	no	—
2023	C₄×D₄	—	53	2	no	—
2024	C₄×D₄	—	53	2	no	—
2025	C₄×D₄	—	53	2	no	—
2026	C₄×D₄	—	53	2	no	—
2027	C₄×D₄	—	53	2	no	—
2028	C₄×D₄	—	53	2	no	—
2029	C₄×D₄	—	53	4	no	—
2030	C₄×D₄	—	53	4	no	—
2031	C₄×D₄	—	53	4	no	—
2032	C₄×D₄	—	53	4	no	—
2033	C₄×D₄	—	53	4	no	—
2034	C₄×D₄	—	53	4	no	—
2035	C₄×D₄	—	53	4	no	—
2036	C₄×D₄	—	53	4	no	—
2037	C₄×D₄	—	53	4	no	—
2038	C₄×D₄	—	53	2	no	—
2039	C₄×D₄	—	53	2	no	—
2040	C₄×D₄	—	53	4	no	—
2041	C₄×D₄	—	53	2	no	—
2042	C₄×D₄	—	53	1	no	—
2043	C₄×D₄	—	53	2	no	—
2044	C₄×D₄	—	53	1	no	—
2045	C₄×D₄	—	53	1	no	—
2046	C₄×D₄	—	53	2	no	—
2047	C₄×D₄	—	53	1	no	—
2048	C₄×D₄	—	53	2	no	—
2049	C₄×D₄	—	53	4	no	—
2050	C₄×D₄	—	53	2	no	—
2051	C₄×D₄	—	53	2	no	—
2052	C₄×D₄	—	53	2	no	—
2053	C₄×D₄	—	53	1	no	—
2054	C₄×D₄	—	53	2	no	—
2055	C₄×D₄	—	53	2	no	—
2056	C₄×D₄	—	53	2	no	—
2057	C₄×D₄	—	53	2	no	—
2058	C₄×D₄	—	53	2	no	—
2059	C₄×D₄	—	53	2	no	—
2060	C₄×D₄	—	53	2	no	—
2061	C₄×D₄	—	53	2	no	—
2062	C₄×D₄	—	53	4	no	—
2063	C₄×D₄	—	53	2	no	—
2064	C₄×D₄	—	53	2	no	—
2065	C₄×D₄	—	53	4	no	—
2066	C₄×D₄	—	53	4	no	—
2067	C₄×D₄	—	53	4	no	—
2068	C₄×D₄	—	53	2	no	—
2069	C₄×D₄	—	53	4	no	—
2070	C₄×D₄	—	53	4	no	—
2071	C₄×D₄	—	53	4	no	—
2072	C₄×D₄	—	53	4	no	—
2073	C₄×D₄	—	53	4	no	—
2074	C₄×D₄	—	53	4	no	—
2075	C₄×D₄	—	53	4	no	—
2076	C₄×D₄	—	53	4	no	—
2077	C₄×D₄	—	53	4	no	—
2078	C₄×D₄	—	53	2	no	—
2079	C₄×D₄	—	53	2	no	—
2080	C₄×D₄	—	53	4	no	—
2081	C₄×D₄	—	53	2	no	—
2082	C₄×D₄	—	53	4	no	—
2083	C₄×D₄	—	53	2	no	—
2084	C₄×D₄	—	53	1	no	—
2085	C₄×D₄	—	53	2	no	—
2086	C₄×D₄	—	53	1	no	—
2087	C₄×D₄	—	53	1	no	—
2088	C₄×D₄	—	53	2	no	—
2089	C₄×D₄	—	53	1	no	—
2090	C₄×D₄	—	53	4	no	—
2091	C₄×D₄	—	53	2	no	—
2092	C₄×D₄	—	53	4	no	—
2093	C₄×D₄	—	53	2	no	—
2094	C₄×D₄	—	53	1	no	—
2095	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2096	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2097	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2098	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2099	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2100	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2101	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2102	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2103	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2104	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2105	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2106	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2107	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2108	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2109	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2110	#117	—	53	2	no	—
2111	#117	—	53	2	no	—
2112	#117	—	53	4	no	—
2113	#117	—	53	1	no	—
2114	#117	—	53	2	no	—
2115	#117	—	53	1	no	—
2116	#117	—	53	4	no	—
2117	#117	—	53	4	no	—
2118	#117	—	53	2	no	—
2119	#117	—	53	2	no	—
2120	#117	—	53	2	no	—
2121	#117	—	53	4	no	—
2122	#117	—	53	2	no	—
2123	#117	—	53	2	no	—
2124	#117	—	53	2	no	—
2125	#117	—	53	4	no	—
2126	#117	—	53	4	no	—
2127	#117	—	53	4	no	—
2128	#117	—	53	4	no	—
2129	#117	—	53	4	no	—
2130	#117	—	53	2	no	—
2131	#117	—	53	4	no	—
2132	#117	—	53	2	no	—
2133	#117	—	53	2	no	—
2134	#117	—	53	4	no	—
2135	#117	—	53	2	no	—
2136	#117	—	53	2	no	—
2137	#117	—	53	4	no	—
2138	#117	C₂²×D₅₃	1	2	yes	complemented
2139	#117	C₂²×D₅₃	1	2	yes	complemented
2140	#117	C₂²×D₅₃	1	2	yes	complemented
2141	C₂×C₄⋊C₄	—	53	2	no	—
2142	C₂×C₄⋊C₄	—	53	1	no	—
2143	C₂×C₄⋊C₄	—	53	2	no	—
2144	C₂×C₄⋊C₄	—	53	4	no	—
2145	C₂×C₄⋊C₄	—	53	4	no	—
2146	C₂×C₄⋊C₄	—	53	2	no	—
2147	C₂×C₄⋊C₄	—	53	4	no	—
2148	C₂×C₄⋊C₄	—	53	1	no	—
2149	C₂×C₄⋊C₄	—	53	1	no	—
2150	C₂×C₄⋊C₄	—	53	2	no	—
2151	C₂×C₄⋊C₄	—	53	2	no	—
2152	C₂×C₄⋊C₄	—	53	1	no	—
2153	C₂×C₄⋊C₄	—	53	1	no	—
2154	C₂×C₄⋊C₄	—	53	2	no	—
2155	C₂×C₄⋊C₄	—	53	2	no	—
2156	C₂×C₄⋊C₄	—	53	4	no	—
2157	C₂×C₄⋊C₄	—	53	2	no	—
2158	C₂×C₄⋊C₄	—	53	4	no	—
2159	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2160	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2161	C₂×C₂²⋊C₄	—	53	2	no	—
2162	C₂×C₂²⋊C₄	—	53	4	no	—
2163	C₂×C₂²⋊C₄	—	53	4	no	—
2164	C₂×C₂²⋊C₄	—	53	4	no	—
2165	C₂×C₂²⋊C₄	—	53	2	no	—
2166	C₂×C₂²⋊C₄	—	53	2	no	—
2167	C₂×C₂²⋊C₄	—	53	4	no	—
2168	C₂×C₂²⋊C₄	—	53	4	no	—
2169	C₂×C₂²⋊C₄	—	53	4	no	—
2170	C₂×C₂²⋊C₄	—	53	2	no	—
2171	C₂×C₂²⋊C₄	—	53	2	no	—
2172	C₂×C₂²⋊C₄	—	53	2	no	—
2173	C₂×C₂²⋊C₄	—	53	2	no	—
2174	C₂×C₂²⋊C₄	—	53	2	no	—
2175	C₂×C₂²⋊C₄	—	53	2	no	—
2176	C₂×C₂²⋊C₄	—	53	2	no	—
2177	C₂×C₂²⋊C₄	—	53	2	no	—
2178	C₂×C₂²⋊C₄	—	53	4	no	—
2179	C₂×C₂²⋊C₄	—	53	4	no	—
2180	C₂×C₂²⋊C₄	—	53	4	no	—
2181	C₂×C₂²⋊C₄	—	53	4	no	—
2182	C₂×C₂²⋊C₄	—	53	4	no	—
2183	C₂×C₂²⋊C₄	—	53	4	no	—
2184	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2185	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
2186	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
2187	C₂×C₄²	—	53	4	no	—
2188	C₂×C₄²	—	53	1	no	—
2189	C₂×C₄²	—	53	1	no	—
2190	C₂×C₄²	—	53	1	no	—
2191	C₂×C₄²	—	53	4	no	—
2192	C₂×C₄²	—	53	2	no	—
2193	C₂×C₄²	—	53	4	no	—
2194	C₂×C₄²	—	53	1	no	—
2195	C₂×C₄²	—	53	1	no	—
2196	C₂×C₄²	—	53	1	no	—
2197	C₂×C₄²	—	53	1	no	—
2198	C₂×C₄²	—	53	1	no	—
2199	C₂×C₄²	—	53	1	no	—
2200	C₂×C₄²	—	53	1	no	—
2201	C₂×C₄²	—	53	1	no	—
2202	C₂×C₄²	—	53	2	no	—
2203	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
2204	C₂⁴	—	53	2	no	—
2205	C₂⁴	—	53	1	no	—
2206	C₂⁴	—	53	2	no	—
2207	C₂⁴	—	53	2	no	—
2208	C₂⁴	—	53	2	no	—
2209	C₂⁴	—	53	4	no	—
2210	C₂⁴	—	53	2	no	—
2211	C₂⁴	—	106	8	no	—
2212	C₂⁴	—	212	4	no	—
2213	C₂⁴	—	212	4	no	—
2214	C₂⁴	C₂³×D₅₃	1	2	yes	—
2215	C₂⁴	C₂³×D₅₃	1	4	yes	—
2216	#41	—	4	4	no	—
2217	#41	—	4	4	no	—
2218	#41	—	106	8	no	—
2219	#41	—	106	8	no	—
2220	#41	—	106	4	no	—
2221	#41	—	106	8	no	—
2222	#41	—	106	8	no	—
2223	#41	—	106	4	no	—
2224	#41	—	106	16	no	—
2225	#41	—	106	8	no	—
2226	#41	—	212	4	no	—
2227	#41	—	212	8	no	—
2228	#41	—	212	8	no	—
2229	#41	—	212	8	no	—
2230	#41	—	212	4	no	—
2231	#41	—	212	4	no	—
2232	#41	—	212	4	no	—
2233	#41	—	212	8	no	—
2234	C₂×Q₈	—	53	2	no	—
2235	C₂×Q₈	—	53	2	no	—
2236	C₂×Q₈	—	53	2	no	—
2237	C₂×Q₈	—	53	1	no	—
2238	C₂×Q₈	—	53	2	no	—
2239	C₂×Q₈	—	53	4	no	—
2240	C₂×Q₈	—	53	4	no	—
2241	C₂×Q₈	—	212	4	no	—
2242	C₂×Q₈	—	212	4	no	—
2243	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2244	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2245	C₂×D₄	—	2	4	no	—
2246	C₂×D₄	—	2	8	no	—
2247	C₂×D₄	—	4	4	no	—
2248	C₂×D₄	—	4	8	no	—
2249	C₂×D₄	—	53	2	no	—
2250	C₂×D₄	—	53	8	no	—
2251	C₂×D₄	—	53	4	no	—
2252	C₂×D₄	—	53	4	no	—
2253	C₂×D₄	—	53	2	no	—
2254	C₂×D₄	—	53	4	no	—
2255	C₂×D₄	—	53	4	no	—
2256	C₂×D₄	—	53	2	no	—
2257	C₂×D₄	—	53	2	no	—
2258	C₂×D₄	—	53	2	no	—
2259	C₂×D₄	—	53	2	no	—
2260	C₂×D₄	—	53	2	no	—
2261	C₂×D₄	—	53	4	no	—
2262	C₂×D₄	—	53	2	no	—
2263	C₂×D₄	—	53	2	no	—
2264	C₂×D₄	—	53	4	no	—
2265	C₂×D₄	—	53	4	no	—
2266	C₂×D₄	—	53	4	no	—
2267	C₂×D₄	—	53	4	no	—
2268	C₂×D₄	—	53	4	no	—
2269	C₂×D₄	—	53	1	no	—
2270	C₂×D₄	—	53	2	no	—
2271	C₂×D₄	—	53	2	no	—
2272	C₂×D₄	—	53	1	no	—
2273	C₂×D₄	—	53	2	no	—
2274	C₂×D₄	—	53	1	no	—
2275	C₂×D₄	—	53	4	no	—
2276	C₂×D₄	—	106	4	no	—
2277	C₂×D₄	—	106	4	no	—
2278	C₂×D₄	—	106	8	no	—
2279	C₂×D₄	—	106	4	no	—
2280	C₂×D₄	—	106	8	no	—
2281	C₂×D₄	—	106	8	no	—
2282	C₂×D₄	—	106	16	no	—
2283	C₂×D₄	—	106	8	no	—
2284	C₂×D₄	—	106	16	no	—
2285	C₂×D₄	—	106	16	no	—
2286	C₂×D₄	—	106	4	no	—
2287	C₂×D₄	—	212	4	no	—
2288	C₂×D₄	—	212	8	no	—
2289	C₂×D₄	—	212	8	no	—
2290	C₂×D₄	—	212	8	no	—
2291	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2292	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2293	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2294	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2295	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2296	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2297	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2298	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2299	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2300	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2301	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2302	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2303	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2304	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2305	C₂²×C₄	—	4	4	no	—
2306	C₂²×C₄	—	53	1	no	—
2307	C₂²×C₄	—	53	1	no	—
2308	C₂²×C₄	—	53	1	no	—
2309	C₂²×C₄	—	53	1	no	—
2310	C₂²×C₄	—	53	2	no	—
2311	C₂²×C₄	—	53	1	no	—
2312	C₂²×C₄	—	53	4	no	—
2313	C₂²×C₄	—	53	4	no	—
2314	C₂²×C₄	—	53	4	no	—
2315	C₂²×C₄	—	53	2	no	—
2316	C₂²×C₄	—	53	2	no	—
2317	C₂²×C₄	—	53	2	no	—
2318	C₂²×C₄	—	53	2	no	—
2319	C₂²×C₄	—	53	2	no	—
2320	C₂²×C₄	—	53	4	no	—
2321	C₂²×C₄	—	53	4	no	—
2322	C₂²×C₄	—	53	4	no	—
2323	C₂²×C₄	—	53	2	no	—
2324	C₂²×C₄	—	53	1	no	—
2325	C₂²×C₄	—	53	1	no	—
2326	C₂²×C₄	—	53	1	no	—
2327	C₂²×C₄	—	53	1	no	—
2328	C₂²×C₄	—	53	2	no	—
2329	C₂²×C₄	—	53	1	no	—
2330	C₂²×C₄	—	53	1	no	—
2331	C₂²×C₄	—	53	4	no	—
2332	C₂²×C₄	—	53	2	no	—
2333	C₂²×C₄	—	53	2	no	—
2334	C₂²×C₄	—	53	2	no	—
2335	C₂²×C₄	—	53	2	no	—
2336	C₂²×C₄	—	53	2	no	—
2337	C₂²×C₄	—	53	2	no	—
2338	C₂²×C₄	—	53	2	no	—
2339	C₂²×C₄	—	53	1	no	—
2340	C₂²×C₄	—	53	1	no	—
2341	C₂²×C₄	—	53	1	no	—
2342	C₂²×C₄	—	53	1	no	—
2343	C₂²×C₄	—	53	4	no	—
2344	C₂²×C₄	—	53	2	no	—
2345	C₂²×C₄	—	53	2	no	—
2346	C₂²×C₄	—	53	2	no	—
2347	C₂²×C₄	—	53	2	no	—
2348	C₂²×C₄	—	53	4	no	—
2349	C₂²×C₄	—	53	2	no	—
2350	C₂²×C₄	—	53	4	no	—
2351	C₂²×C₄	—	53	2	no	—
2352	C₂²×C₄	—	53	2	no	—
2353	C₂²×C₄	—	106	4	no	—
2354	C₂²×C₄	—	106	8	no	—
2355	C₂²×C₄	—	106	8	no	—
2356	C₂²×C₄	—	106	4	no	—
2357	C₂²×C₄	—	212	4	no	—
2358	C₂²×C₄	—	212	4	no	—
2359	C₂²×C₄	—	212	4	no	—
2360	C₂²×C₄	—	212	2	no	—
2361	C₂²×C₄	—	212	4	no	—
2362	C₂²×C₄	—	212	4	no	—
2363	C₂²×C₄	—	212	4	no	—
2364	C₂²×C₄	—	212	8	no	—
2365	C₂²×C₄	—	212	4	no	—
2366	C₂²×C₄	—	212	4	no	—
2367	C₂²×C₄	—	212	4	no	—
2368	C₂²×C₄	—	212	4	no	—
2369	C₂²×C₄	—	212	8	no	—
2370	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2371	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2372	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2373	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2374	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2375	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2376	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2377	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2378	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2379	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2380	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2381	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2382	C₄⋊C₄	—	53	2	no	—
2383	C₄⋊C₄	—	53	1	no	—
2384	C₄⋊C₄	—	53	2	no	—
2385	C₄⋊C₄	—	53	1	no	—
2386	C₄⋊C₄	—	53	2	no	—
2387	C₄⋊C₄	—	53	2	no	—
2388	C₄⋊C₄	—	53	2	no	—
2389	C₄⋊C₄	—	53	1	no	—
2390	C₄⋊C₄	—	53	2	no	—
2391	C₄⋊C₄	—	53	1	no	—
2392	C₄⋊C₄	—	53	2	no	—
2393	C₄⋊C₄	—	53	2	no	—
2394	C₄⋊C₄	—	53	4	no	—
2395	C₄⋊C₄	—	53	2	no	—
2396	C₄⋊C₄	—	53	2	no	—
2397	C₄⋊C₄	—	53	4	no	—
2398	C₄⋊C₄	—	53	4	no	—
2399	C₄⋊C₄	—	53	4	no	—
2400	C₄⋊C₄	—	53	2	no	—
2401	C₄⋊C₄	—	53	4	no	—
2402	C₄⋊C₄	—	53	4	no	—
2403	C₄⋊C₄	—	53	4	no	—
2404	C₄⋊C₄	—	53	4	no	—
2405	C₄⋊C₄	—	53	4	no	—
2406	C₄⋊C₄	—	53	4	no	—
2407	C₄⋊C₄	—	53	4	no	—
2408	C₄⋊C₄	—	53	4	no	—
2409	C₄⋊C₄	—	53	2	no	—
2410	C₄⋊C₄	—	53	4	no	—
2411	C₄⋊C₄	—	53	2	no	—
2412	C₄⋊C₄	—	53	4	no	—
2413	C₄⋊C₄	—	53	2	no	—
2414	C₄⋊C₄	—	53	4	no	—
2415	C₄⋊C₄	—	53	2	no	—
2416	C₄⋊C₄	—	53	2	no	—
2417	C₄⋊C₄	—	53	2	no	—
2418	C₄⋊C₄	—	53	4	no	—
2419	C₄⋊C₄	—	53	2	no	—
2420	C₄⋊C₄	—	53	2	no	—
2421	C₄⋊C₄	—	53	2	no	—
2422	C₄⋊C₄	—	53	2	no	—
2423	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2424	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2425	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2426	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2427	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2428	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2429	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2430	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2431	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2432	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2433	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2434	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2435	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2436	C₂²⋊C₄	—	53	2	no	—
2437	C₂²⋊C₄	—	53	2	no	—
2438	C₂²⋊C₄	—	53	2	no	—
2439	C₂²⋊C₄	—	53	2	no	—
2440	C₂²⋊C₄	—	53	4	no	—
2441	C₂²⋊C₄	—	53	2	no	—
2442	C₂²⋊C₄	—	53	4	no	—
2443	C₂²⋊C₄	—	53	4	no	—
2444	C₂²⋊C₄	—	53	4	no	—
2445	C₂²⋊C₄	—	53	2	no	—
2446	C₂²⋊C₄	—	53	4	no	—
2447	C₂²⋊C₄	—	53	4	no	—
2448	C₂²⋊C₄	—	53	4	no	—
2449	C₂²⋊C₄	—	53	4	no	—
2450	C₂²⋊C₄	—	53	4	no	—
2451	C₂²⋊C₄	—	53	4	no	—
2452	C₂²⋊C₄	—	53	4	no	—
2453	C₂²⋊C₄	—	53	2	no	—
2454	C₂²⋊C₄	—	53	4	no	—
2455	C₂²⋊C₄	—	53	2	no	—
2456	C₂²⋊C₄	—	53	2	no	—
2457	C₂²⋊C₄	—	53	2	no	—
2458	C₂²⋊C₄	—	53	2	no	—
2459	C₂²⋊C₄	—	53	2	no	—
2460	C₂²⋊C₄	—	53	2	no	—
2461	C₂²⋊C₄	—	53	2	no	—
2462	C₂²⋊C₄	—	53	2	no	—
2463	C₂²⋊C₄	—	53	2	no	—
2464	C₂²⋊C₄	—	53	4	no	—
2465	C₂²⋊C₄	—	53	2	no	—
2466	C₂²⋊C₄	—	53	2	no	—
2467	C₂²⋊C₄	—	53	2	no	—
2468	C₂²⋊C₄	—	53	4	no	—
2469	C₂²⋊C₄	—	53	4	no	—
2470	C₂²⋊C₄	—	53	4	no	—
2471	C₂²⋊C₄	—	53	2	no	—
2472	C₂²⋊C₄	—	53	4	no	—
2473	C₂²⋊C₄	—	53	2	no	—
2474	C₂²⋊C₄	—	53	2	no	—
2475	C₂²⋊C₄	—	53	4	no	—
2476	C₂²⋊C₄	—	53	4	no	—
2477	C₂²⋊C₄	—	53	4	no	—
2478	C₂²⋊C₄	—	53	4	no	—
2479	C₂²⋊C₄	—	53	4	no	—
2480	C₂²⋊C₄	—	53	2	no	—
2481	C₂²⋊C₄	—	53	2	no	—
2482	C₂²⋊C₄	—	53	2	no	—
2483	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2484	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2485	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2486	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2487	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2488	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2489	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2490	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2491	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2492	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2493	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2494	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2495	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2496	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2497	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2498	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2499	C₄²	—	53	1	no	—
2500	C₄²	—	53	1	no	—
2501	C₄²	—	53	1	no	—
2502	C₄²	—	53	2	no	—
2503	C₄²	—	53	4	no	—
2504	C₄²	—	53	2	no	—
2505	C₄²	—	53	1	no	—
2506	C₄²	—	53	1	no	—
2507	C₄²	—	53	1	no	—
2508	C₄²	—	53	1	no	—
2509	C₄²	—	53	1	no	—
2510	C₄²	—	53	1	no	—
2511	C₄²	—	53	1	no	—
2512	C₄²	—	53	1	no	—
2513	C₄²	—	53	1	no	—
2514	C₄²	—	53	4	no	—
2515	C₄²	—	53	4	no	—
2516	C₄²	—	53	4	no	—
2517	C₄²	—	53	2	no	—
2518	C₄²	—	53	2	no	—
2519	C₄²	—	53	4	no	—
2520	C₄²	—	53	4	no	—
2521	C₄²	—	53	2	no	—
2522	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2523	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2524	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2525	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2526	C₄²	C₂³×D₅₃	1	4	yes	—
2527	C₄²	C₂³×D₅₃	1	2	yes	—
2528	C₂³	—	2	4	no	—
2529	C₂³	—	2	4	no	—
2530	C₂³	—	2	8	no	—
2531	C₂³	—	4	2	no	—
2532	C₂³	—	4	4	no	—
2533	C₂³	—	4	4	no	—
2534	C₂³	—	53	1	no	—
2535	C₂³	—	53	2	no	—
2536	C₂³	—	53	1	no	—
2537	C₂³	—	53	8	no	—
2538	C₂³	—	53	2	no	—
2539	C₂³	—	53	2	no	—
2540	C₂³	—	106	2	no	—
2541	C₂³	—	106	2	no	—
2542	C₂³	—	106	8	no	—
2543	C₂³	—	106	4	no	—
2544	C₂³	—	106	4	no	—
2545	C₂³	—	106	4	no	—
2546	C₂³	—	106	4	no	—
2547	C₂³	—	106	4	no	—
2548	C₂³	—	106	2	no	—
2549	C₂³	—	106	4	no	—
2550	C₂³	—	106	4	no	—
2551	C₂³	—	212	4	no	—
2552	C₂³	—	212	4	no	—
2553	C₂³	—	212	2	no	—
2554	C₂³	—	212	2	no	—
2555	C₂³	—	212	2	no	—
2556	C₂³	—	212	2	no	—
2557	C₂³	—	212	2	no	—
2558	C₂³	—	212	2	no	—
2559	C₂³	—	212	2	no	—
2560	C₂³	—	212	32	no	—
2561	C₂³	C₂⁴×D₅₃	1	2	yes	—
2562	C₂³	C₂⁴×D₅₃	1	4	yes	—
2563	C₂³	C₂⁴×D₅₃	1	2	yes	—
2564	C₂³	C₂⁴×D₅₃	1	2	yes	—
2565	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2566	Q₈	—	2	2	no	—
2567	Q₈	—	4	2	no	—
2568	Q₈	—	106	4	no	—
2569	Q₈	—	106	4	no	—
2570	Q₈	—	106	2	no	—
2571	Q₈	—	106	4	no	—
2572	Q₈	—	212	4	no	—
2573	Q₈	—	212	4	no	—
2574	Q₈	—	212	2	no	—
2575	D₄	—	2	4	no	—
2576	D₄	—	2	8	no	—
2577	D₄	—	2	4	no	—
2578	D₄	—	2	8	no	—
2579	D₄	—	2	2	no	—
2580	D₄	—	2	4	no	—
2581	D₄	—	2	2	no	—
2582	D₄	—	2	4	no	—
2583	D₄	—	4	4	no	—
2584	D₄	—	4	4	no	—
2585	D₄	—	4	4	no	—
2586	D₄	—	4	4	no	—
2587	D₄	—	4	2	no	—
2588	D₄	—	53	8	no	—
2589	D₄	—	53	4	no	—
2590	D₄	—	106	4	no	—
2591	D₄	—	106	4	no	—
2592	D₄	—	106	4	no	—
2593	D₄	—	106	4	no	—
2594	D₄	—	106	4	no	—
2595	D₄	—	106	4	no	—
2596	D₄	—	106	4	no	—
2597	D₄	—	106	8	no	—
2598	D₄	—	106	8	no	—
2599	D₄	—	106	8	no	—
2600	D₄	—	106	8	no	—
2601	D₄	—	106	4	no	—
2602	D₄	—	106	4	no	—
2603	D₄	—	106	8	no	—
2604	D₄	—	106	4	no	—
2605	D₄	—	106	2	no	—
2606	D₄	—	106	2	no	—
2607	D₄	—	212	4	no	—
2608	D₄	—	212	4	no	—
2609	D₄	—	212	4	no	—
2610	D₄	—	212	4	no	—
2611	D₄	—	212	4	no	—
2612	D₄	—	212	4	no	—
2613	D₄	—	212	2	no	—
2614	D₄	#41×D₅₃	1	4	yes	complemented
2615	C₂×C₄	—	2	2	no	—
2616	C₂×C₄	—	2	2	no	—
2617	C₂×C₄	—	2	4	no	—
2618	C₂×C₄	—	2	2	no	—
2619	C₂×C₄	—	2	4	no	—
2620	C₂×C₄	—	2	4	no	—
2621	C₂×C₄	—	4	2	no	—
2622	C₂×C₄	—	4	2	no	—
2623	C₂×C₄	—	4	2	no	—
2624	C₂×C₄	—	4	4	no	—
2625	C₂×C₄	—	4	4	no	—
2626	C₂×C₄	—	4	4	no	—
2627	C₂×C₄	—	53	1	no	—
2628	C₂×C₄	—	53	1	no	—
2629	C₂×C₄	—	53	4	no	—
2630	C₂×C₄	—	53	4	no	—
2631	C₂×C₄	—	53	1	no	—
2632	C₂×C₄	—	53	1	no	—
2633	C₂×C₄	—	53	4	no	—
2634	C₂×C₄	—	53	2	no	—
2635	C₂×C₄	—	53	2	no	—
2636	C₂×C₄	—	53	1	no	—
2637	C₂×C₄	—	53	1	no	—
2638	C₂×C₄	—	53	2	no	—
2639	C₂×C₄	—	53	4	no	—
2640	C₂×C₄	—	53	2	no	—
2641	C₂×C₄	—	53	2	no	—
2642	C₂×C₄	—	106	2	no	—
2643	C₂×C₄	—	106	4	no	—
2644	C₂×C₄	—	106	4	no	—
2645	C₂×C₄	—	106	2	no	—
2646	C₂×C₄	—	106	4	no	—
2647	C₂×C₄	—	106	2	no	—
2648	C₂×C₄	—	106	4	no	—
2649	C₂×C₄	—	106	4	no	—
2650	C₂×C₄	—	106	2	no	—
2651	C₂×C₄	—	106	8	no	—
2652	C₂×C₄	—	106	2	no	—
2653	C₂×C₄	—	106	4	no	—
2654	C₂×C₄	—	106	4	no	—
2655	C₂×C₄	—	106	2	no	—
2656	C₂×C₄	—	106	8	no	—
2657	C₂×C₄	—	106	4	no	—
2658	C₂×C₄	—	106	8	no	—
2659	C₂×C₄	—	106	8	no	—
2660	C₂×C₄	—	106	2	no	—
2661	C₂×C₄	—	106	2	no	—
2662	C₂×C₄	—	106	4	no	—
2663	C₂×C₄	—	106	2	no	—
2664	C₂×C₄	—	106	4	no	—
2665	C₂×C₄	—	106	4	no	—
2666	C₂×C₄	—	212	1	no	—
2667	C₂×C₄	—	212	1	no	—
2668	C₂×C₄	—	212	1	no	—
2669	C₂×C₄	—	212	1	no	—
2670	C₂×C₄	—	212	2	no	—
2671	C₂×C₄	—	212	2	no	—
2672	C₂×C₄	—	212	2	no	—
2673	C₂×C₄	—	212	2	no	—
2674	C₂×C₄	—	212	2	no	—
2675	C₂×C₄	—	212	2	no	—
2676	C₂×C₄	—	212	4	no	—
2677	C₂×C₄	—	212	4	no	—
2678	C₂×C₄	—	212	4	no	—
2679	C₂×C₄	—	212	2	no	—
2680	C₂×C₄	—	212	2	no	—
2681	C₂×C₄	—	212	2	no	—
2682	C₂×C₄	—	212	2	no	—
2683	C₂×C₄	—	212	4	no	—
2684	C₂×C₄	—	212	4	no	—
2685	C₂×C₄	—	212	4	no	—
2686	C₂×C₄	—	212	2	no	—
2687	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2688	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2689	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2690	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2691	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2692	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2693	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2694	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2695	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2696	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2697	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2698	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2699	C₂²	—	2	1	no	—
2700	C₂²	—	2	1	no	—
2701	C₂²	—	2	2	no	—
2702	C₂²	—	2	2	no	—
2703	C₂²	—	2	2	no	—
2704	C₂²	—	2	4	no	—
2705	C₂²	—	2	2	no	—
2706	C₂²	—	2	2	no	—
2707	C₂²	—	2	4	no	—
2708	C₂²	—	2	2	no	—
2709	C₂²	—	2	4	no	—
2710	C₂²	—	2	2	no	—
2711	C₂²	—	2	2	no	—
2712	C₂²	—	4	8	no	—
2713	C₂²	—	8	8	no	—
2714	C₂²	—	53	2	no	—
2715	C₂²	—	53	4	no	—
2716	C₂²	—	53	2	no	—
2717	C₂²	—	106	8	no	—
2718	C₂²	—	106	1	no	—
2719	C₂²	—	106	1	no	—
2720	C₂²	—	106	2	no	—
2721	C₂²	—	106	1	no	—
2722	C₂²	—	106	1	no	—
2723	C₂²	—	106	2	no	—
2724	C₂²	—	106	2	no	—
2725	C₂²	—	106	2	no	—
2726	C₂²	—	106	2	no	—
2727	C₂²	—	106	2	no	—
2728	C₂²	—	106	2	no	—
2729	C₂²	—	106	2	no	—
2730	C₂²	—	424	8	no	—
2731	C₂²	—	212	8	no	—
2732	C₂²	—	212	8	no	—
2733	C₂²	—	212	8	no	—
2734	C₂²	—	212	8	no	—
2735	C₂²	—	212	8	no	—
2736	C₂²	C₂×#41×D₅₃	1	4	yes	—
2737	C₂²	#16811458	1	2	yes	—
2738	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2739	C₄	—	2	1	no	—
2740	C₄	—	2	2	no	—
2741	C₄	—	2	1	no	—
2742	C₄	—	2	2	no	—
2743	C₄	—	2	2	no	—
2744	C₄	—	2	2	no	—
2745	C₄	—	2	1	no	—
2746	C₄	—	2	1	no	—
2747	C₄	—	2	2	no	—
2748	C₄	—	2	4	no	—
2749	C₄	—	53	2	no	—
2750	C₄	—	53	2	no	—
2751	C₄	—	106	1	no	—
2752	C₄	—	106	4	no	—
2753	C₄	—	106	2	no	—
2754	C₄	—	106	1	no	—
2755	C₄	—	106	2	no	—
2756	C₄	—	106	2	no	—
2757	C₄	—	106	4	no	—
2758	C₄	—	106	2	no	—
2759	C₄	—	106	1	no	—
2760	C₄	—	106	1	no	—
2761	C₄	—	106	2	no	—
2762	C₄	C₂×#41×D₅₃	1	2	yes	—
2763	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2764	C₂	—	2	2	no	—
2765	C₂	—	2	4	no	—
2766	C₂	—	4	2	no	—
2767	C₂	—	4	2	no	—
2768	C₂	—	4	4	no	—
2769	C₂	—	106	2	no	—
2770	C₂	—	106	2	no	—
2771	C₂	—	106	4	no	—
2772	C₂	—	212	2	no	—
2773	C₂	—	212	2	no	—
2774	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2775	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2776	C₂	C₂×#16811458	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3519	C₂
hypercenter	#3519	D₅₃
hypocenter	C₅₃	#62773
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3519

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20288766	C₂	semidirect
2. #20288764	C₂	semidirect
3. #20288752	C₂	semidirect
4. #20288742	C₂	semidirect
5. #20288741	C₂	semidirect
6. #20288653	C₂	semidirect
7. #20288651	C₂	semidirect
8. #20288643	C₂	semidirect
9. #20288559	C₂	semidirect
10. #20288557	C₂	semidirect
11. #20288544	C₂	semidirect
12. #20288542	C₂	semidirect
13. #20288512	C₂	semidirect
14. #20288471	C₂	semidirect
15. #20288419	C₂	semidirect
16. #20288397	C₂	semidirect
17. #20288343	C₂	semidirect
18. #20288322	C₂	semidirect
19. #20288320	C₂	semidirect
20. #20288316	C₂	semidirect
21. #20288281	C₂	semidirect
22. #20288274	C₂	semidirect
23. #20288272	C₂	semidirect
24. #20288205	C₂	semidirect
25. #20288199	C₂	semidirect
26. D₄×#11719947	C₂	semidirect
27. #20288130	C₂	semidirect
28. #20288126	C₂	semidirect
29. #20288010	C₂	semidirect
30. #20288009	C₂	semidirect
31. C₂×#16811133	C₂	semidirect
32. #525×D₅₃	C₂	semidirect
33. #20287919	C₂	semidirect
34. C₂×C₄×D₄×D₅₃	C₂	semidirect
35. C₅₃×#3519	C₂	semidirect
37. C₂²×#11719947	C₂²	semidirect
38. C₂×#41×D₅₃	C₂²	semidirect
40. C₂³×C₄×D₅₃	C₂²	semidirect
41. #16811359	C₂²	semidirect
42. #16811356	C₂²	semidirect
43. #16811355	C₂²	semidirect
44. #16811346	C₂²	semidirect
45. #16811343	C₂²	semidirect
46. #16811341	C₂²	semidirect
47. #16811339	C₂²	semidirect
48. #16811337	C₂²	semidirect
49. #16811334	C₂²	semidirect
50. #16811332	C₂²	semidirect
51. #16811331	C₂²	semidirect
52. #16811330	C₂²	semidirect
53. #16811330	C₂²	semidirect
54. #16811329	C₂²	semidirect
55. #16811328	C₂²	semidirect
56. #16811328	C₂²	semidirect
57. #16811325	C₂²	semidirect
58. #16811325	C₂²	semidirect
59. #16811325	C₂²	semidirect
60. #16811323	C₂²	semidirect
61. #16811321	C₂²	semidirect
62. #16811320	C₂²	semidirect
63. #16811320	C₂²	semidirect
64. #16811319	C₂²	semidirect
65. #16811318	C₂²	semidirect
66. #16811317	C₂²	semidirect
67. #16811316	C₂²	semidirect
68. #16811316	C₂²	semidirect
69. #16811315	C₂²	semidirect
70. #16811313	C₂²	semidirect
71. #16811312	C₂²	semidirect
72. #16811312	C₂²	semidirect
73. #16811311	C₂²	semidirect
74. #16811311	C₂²	semidirect
75. #16811309	C₂²	semidirect
76. #16811304	C₂²	semidirect
77. #16811304	C₂²	semidirect
78. #16811303	C₂²	semidirect
79. #16811302	C₂²	semidirect
80. #16811302	C₂²	semidirect
81. #16811301	C₂²	semidirect
82. #16811300	C₂²	semidirect
83. #16811299	C₂²	semidirect
84. #16811299	C₂²	semidirect
85. #16811298	C₂²	semidirect
86. #16811296	C₂²	semidirect
87. #16811296	C₂²	semidirect
88. #16811293	C₂²	semidirect
89. #16811291	C₂²	semidirect
90. Q₈×D₂₁₂	C₂²	semidirect
91. D₄×Dic₁₀₆	C₂²	semidirect
92. #16811286	C₂²	semidirect
93. #16811282	C₂²	semidirect
94. #16811281	C₂²	semidirect
95. #16811280	C₂²	semidirect
96. #16811279	C₂²	semidirect
97. #16811278	C₂²	semidirect
98. #16811278	C₂²	semidirect
99. #16811278	C₂²	semidirect
100. #16811277	C₂²	semidirect
101. #16811277	C₂²	semidirect
102. #16811273	C₂²	semidirect
103. #16811273	C₂²	semidirect
104. #16811272	C₂²	semidirect
105. #16811271	C₂²	semidirect
106. #16811270	C₂²	semidirect
107. #16811270	C₂²	semidirect
108. #16811270	C₂²	semidirect
109. #16811270	C₂²	semidirect
110. #16811269	C₂²	semidirect
111. #16811268	C₂²	semidirect
112. #16811268	C₂²	semidirect
113. #16811267	C₂²	semidirect
114. #16811267	C₂²	semidirect
115. #16811267	C₂²	semidirect
116. #16811267	C₂²	semidirect
117. #16811263	C₂²	semidirect
118. #16811262	C₂²	semidirect
119. #16811262	C₂²	semidirect
120. #16811262	C₂²	semidirect
121. #16811261	C₂²	semidirect
122. #16811260	C₂²	semidirect
123. #16811260	C₂²	semidirect
124. #16811260	C₂²	semidirect
125. #16811258	C₂²	semidirect
126. #16811258	C₂²	semidirect
127. #16811257	C₂²	semidirect
128. D₄×C₂²⋊D₅₃	C₂²	semidirect
129. D₄×C₂²⋊D₅₃	C₂²	semidirect
130. D₄×C₂²⋊D₅₃	C₂²	semidirect
131. #16811255	C₂²	semidirect
132. #16811253	C₂²	semidirect
133. #16811248	C₂²	semidirect
134. #16811244	C₂²	semidirect
135. #16811241	C₂²	semidirect
136. #16811238	C₂²	semidirect
137. #16811224	C₂²	semidirect
138. #16811223	C₂²	semidirect
139. #16811216	C₂²	semidirect
140. #16811216	C₂²	semidirect
141. #16811215	C₂²	semidirect
142. #16811215	C₂²	semidirect
143. #16811214	C₂²	semidirect
144. #16811214	C₂²	semidirect
145. #16811211	C₂²	semidirect
146. #16811209	C₂²	semidirect
147. #16811207	C₂²	semidirect
148. #16811207	C₂²	semidirect
149. #16811205	C₂²	semidirect
150. #16811205	C₂²	semidirect
151. #16811205	C₂²	semidirect
152. #16811202	C₂²	semidirect
153. #16811189	C₂²	semidirect
154. #16811186	C₂²	semidirect
155. #16811183	C₂²	semidirect
156. #16811183	C₂²	semidirect
157. #16811181	C₂²	semidirect
158. #16811180	C₂²	semidirect
159. #16811179	C₂²	semidirect
160. #16811178	C₂²	semidirect
161. #16811178	C₂²	semidirect
162. #16811177	C₂²	semidirect
163. #16811175	C₂²	semidirect
164. #16811172	C₂²	semidirect
165. #16811171	C₂²	semidirect
166. #16811171	C₂²	semidirect
167. #16811171	C₂²	semidirect
168. #16811170	C₂²	semidirect
169. #16811168	C₂²	semidirect
170. #16811168	C₂²	semidirect
171. #16811168	C₂²	semidirect
172. #16811159	C₂²	semidirect
173. #16811158	C₂²	semidirect
174. #16811158	C₂²	semidirect
175. #16811157	C₂²	semidirect
176. #16811156	C₂²	semidirect
177. #16811156	C₂²	semidirect
178. #16811156	C₂²	semidirect
179. #16811155	C₂²	semidirect
180. #16811155	C₂²	semidirect
181. #16811154	C₂²	semidirect
182. #16811154	C₂²	semidirect
183. #16811154	C₂²	semidirect
184. #16811154	C₂²	semidirect
185. #16811152	C₂²	semidirect
186. #16811152	C₂²	semidirect
187. #16811152	C₂²	semidirect
188. #16811152	C₂²	semidirect
189. #16811151	C₂²	semidirect
190. #16811150	C₂²	semidirect
191. #16811150	C₂²	semidirect
192. #16811136	C₂²	semidirect
193. #16811136	C₂²	semidirect
194. #16811135	C₂²	semidirect
195. #16811134	C₂²	semidirect
196. #16811133	C₂²	semidirect
197. #16811133	C₂²	semidirect
198. #16811133	C₂²	semidirect
199. #16811133	C₂²	semidirect
200. #16811133	C₂²	semidirect
201. #16811133	C₂²	semidirect
202. #16811133	C₂²	semidirect
203. #16811133	C₂²	semidirect
204. #16811133	C₂²	semidirect
205. #16811133	C₂²	semidirect
206. #16811133	C₂²	semidirect
207. #16811133	C₂²	semidirect
208. #16811133	C₂²	semidirect
209. #16811133	C₂²	semidirect
210. #16811133	C₂²	semidirect
211. #16811132	C₂²	semidirect
212. #16811132	C₂²	semidirect
213. #16811132	C₂²	semidirect
214. #16811131	C₂²	semidirect
215. #16811131	C₂²	semidirect
216. #16811131	C₂²	semidirect
217. #16811130	C₂²	semidirect
218. #16811130	C₂²	semidirect
219. #16811129	C₂²	semidirect
220. #16811129	C₂²	semidirect
221. #16811129	C₂²	semidirect
222. C₂×#13133199	C₂²	semidirect
223. #123×D₅₃	C₂²	semidirect
224. C₂×#13133197	C₂²	semidirect
225. C₂×#13133196	C₂²	semidirect
226. C₂²⋊Q₈×D₅₃	C₂²	semidirect
227. C₂²⋊Q₈×D₅₃	C₂²	semidirect
228. C₂×#13133188	C₂²	semidirect
229. #121×D₅₃	C₂²	semidirect
230. #121×D₅₃	C₂²	semidirect
231. C₂×#13133185	C₂²	semidirect
232. #120×D₅₃	C₂²	semidirect
233. #16811103	C₂²	semidirect
234. #16811103	C₂²	semidirect
235. #16811102	C₂²	semidirect
236. #16811102	C₂²	semidirect
237. #16811102	C₂²	semidirect
238. #16811096	C₂²	semidirect
239. #16811096	C₂²	semidirect
241. #16811095	C₂²	semidirect
242. #16811095	C₂²	semidirect
243. #41×Dic₅₃	C₂²	semidirect
244. C₄×#11719949	C₂²	semidirect
245. #16811091	C₂²	semidirect
246. #16811091	C₂²	semidirect
247. C₄×#11719947	C₂²	semidirect
248. C₄×#11719947	C₂²	semidirect
249. C₄×#11719947	C₂²	semidirect
250. C₄×#11719947	C₂²	semidirect
251. C₄×#11719947	C₂²	semidirect
252. C₄×#11719947	C₂²	semidirect
253. C₂×C₄×D₂₁₂	C₂²	semidirect
254. C₂×D₄×Dic₅₃	C₂²	semidirect
255. C₂×D₄×Dic₅₃	C₂²	semidirect
256. C₂×D₄×Dic₅₃	C₂²	semidirect
257. C₂×#13133179	C₂²	semidirect
258. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
259. C₂×#13133177	C₂²	semidirect
260. C₂×#13133177	C₂²	semidirect
261. C₂×#13133177	C₂²	semidirect
264. C₄×D₄×D₅₃	C₂²	semidirect
265. C₄×D₄×D₅₃	C₂²	semidirect
266. C₄×D₄×D₅₃	C₂²	semidirect
267. C₄×D₄×D₅₃	C₂²	semidirect
268. C₄×D₄×D₅₃	C₂²	semidirect
269. C₄×D₄×D₅₃	C₂²	semidirect
270. C₄×D₄×D₅₃	C₂²	semidirect
271. C₄×D₄×D₅₃	C₂²	semidirect
272. C₄×D₄×D₅₃	C₂²	semidirect
273. C₄×D₄×D₅₃	C₂²	semidirect
274. C₄×D₄×D₅₃	C₂²	semidirect
275. C₄×D₄×D₅₃	C₂²	semidirect
276. C₄×D₄×D₅₃	C₂²	semidirect
277. C₂×#13133175	C₂²	semidirect
278. #117×D₅₃	C₂²	semidirect
279. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
280. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
281. C₂×C₄²×D₅₃	C₂²	semidirect
282. C₅₃×#555	C₂²	semidirect
283. C₅₃×#554	C₂²	semidirect
284. C₅₃×#553	C₂²	semidirect
285. C₅₃×#553	C₂²	semidirect
286. C₅₃×#550	C₂²	semidirect
287. C₅₃×#546	C₂²	semidirect
288. C₅₃×#546	C₂²	semidirect
289. D₄²×C₅₃	C₂²	semidirect
290. D₄²×C₅₃	C₂²	semidirect
291. C₅₃×#540	C₂²	semidirect
292. C₅₃×#538	C₂²	semidirect
293. C₅₃×#532	C₂²	semidirect
294. C₅₃×#529	C₂²	semidirect
295. C₅₃×#525	C₂²	semidirect
296. C₂×#121×C₅₃	C₂²	semidirect
297. C₅₃×#518	C₂²	semidirect
298. C₂×C₄×D₄×C₅₃	C₂²	semidirect
305. C₂×#11719945	C₂³	semidirect
314. C₂×#11719947	C₂³	semidirect
315. C₂×#11719947	C₂³	semidirect
316. C₂×#11719947	C₂³	semidirect
317. C₂×#11719947	C₂³	semidirect
319. C₂²×Dic₁₀₆	C₂³	semidirect
320. C₂×Q₈×D₅₃	C₂³	semidirect
337. C₂×D₄×D₅₃	C₂³	semidirect
339. C₂³×Dic₅₃	C₂³	semidirect
355. C₂²×C₄×D₅₃	C₂³	semidirect
356. #13133217	C₂³	semidirect
357. #13133217	C₂³	semidirect
358. #13133217	C₂³	semidirect
359. #13133216	C₂³	semidirect
360. #13133216	C₂³	semidirect
361. #13133216	C₂³	semidirect
362. #13133216	C₂³	semidirect
363. #13133215	C₂³	semidirect
366. #13133213	C₂³	semidirect
367. #13133212	C₂³	semidirect
368. #13133212	C₂³	semidirect
369. #13133212	C₂³	semidirect
370. #13133212	C₂³	semidirect
371. #13133212	C₂³	semidirect
372. #13133211	C₂³	semidirect
373. #13133211	C₂³	semidirect
374. #13133210	C₂³	semidirect
375. #13133210	C₂³	semidirect
376. #13133210	C₂³	semidirect
377. #13133210	C₂³	semidirect
378. #13133210	C₂³	semidirect
379. #13133210	C₂³	semidirect
380. #13133210	C₂³	semidirect
381. #13133210	C₂³	semidirect
382. #13133210	C₂³	semidirect
383. #13133209	C₂³	semidirect
384. #13133209	C₂³	semidirect
385. #13133209	C₂³	semidirect
386. #13133208	C₂³	semidirect
387. #13133208	C₂³	semidirect
388. #13133208	C₂³	semidirect
389. #13133208	C₂³	semidirect
390. #13133208	C₂³	semidirect
391. #13133207	C₂³	semidirect
392. #13133207	C₂³	semidirect
393. #13133207	C₂³	semidirect
394. #13133207	C₂³	semidirect
395. #13133206	C₂³	semidirect
397. #13133205	C₂³	semidirect
399. #13133204	C₂³	semidirect
400. #13133204	C₂³	semidirect
401. #13133204	C₂³	semidirect
402. #13133204	C₂³	semidirect
404. #13133203	C₂³	semidirect
405. #13133203	C₂³	semidirect
406. #13133203	C₂³	semidirect
407. #13133203	C₂³	semidirect
408. #13133203	C₂³	semidirect
409. #13133203	C₂³	semidirect
414. #13133202	C₂³	semidirect
416. #13133201	C₂³	semidirect
417. #13133201	C₂³	semidirect
418. #13133201	C₂³	semidirect
419. #13133201	C₂³	semidirect
421. #13133200	C₂³	semidirect
422. #13133200	C₂³	semidirect
423. #13133200	C₂³	semidirect
432. #13133199	C₂³	semidirect
433. #13133199	C₂³	semidirect
434. #13133199	C₂³	semidirect
435. #13133199	C₂³	semidirect
436. #13133199	C₂³	semidirect
437. #13133199	C₂³	semidirect
438. #13133199	C₂³	semidirect
439. #13133199	C₂³	semidirect
442. #13133198	C₂³	semidirect
443. #13133198	C₂³	semidirect
444. #13133198	C₂³	semidirect
445. #13133198	C₂³	semidirect
446. #13133198	C₂³	semidirect
451. #13133197	C₂³	semidirect
452. #13133197	C₂³	semidirect
453. #13133197	C₂³	semidirect
454. #13133197	C₂³	semidirect
455. #13133197	C₂³	semidirect
456. #13133197	C₂³	semidirect
461. #13133196	C₂³	semidirect
462. #13133196	C₂³	semidirect
463. #13133196	C₂³	semidirect
464. #13133196	C₂³	semidirect
465. #13133196	C₂³	semidirect
466. #13133196	C₂³	semidirect
467. #13133196	C₂³	semidirect
472. #13133195	C₂³	semidirect
473. #13133195	C₂³	semidirect
474. #13133195	C₂³	semidirect
475. #13133195	C₂³	semidirect
478. #13133194	C₂³	semidirect
479. #13133194	C₂³	semidirect
480. #13133194	C₂³	semidirect
481. #13133194	C₂³	semidirect
482. #13133194	C₂³	semidirect
483. #13133194	C₂³	semidirect
487. #13133193	C₂³	semidirect
488. #13133193	C₂³	semidirect
491. #13133192	C₂³	semidirect
495. #13133191	C₂³	semidirect
496. #13133191	C₂³	semidirect
503. #13133190	C₂³	semidirect
504. #13133190	C₂³	semidirect
511. #13133189	C₂³	semidirect
512. #13133189	C₂³	semidirect
513. #13133189	C₂³	semidirect
514. #13133189	C₂³	semidirect
515. #13133189	C₂³	semidirect
525. #13133188	C₂³	semidirect
526. #13133188	C₂³	semidirect
527. #13133188	C₂³	semidirect
528. #13133188	C₂³	semidirect
529. #13133188	C₂³	semidirect
530. #13133188	C₂³	semidirect
537. #13133186	C₂³	semidirect
549. #13133185	C₂³	semidirect
550. #13133185	C₂³	semidirect
551. Q₈×Dic₅₃	C₂³	semidirect
552. Q₈×Dic₅₃	C₂³	semidirect
553. Q₈×Dic₅₃	C₂³	semidirect
554. C₄×Dic₁₀₆	C₂³	semidirect
555. C₄×Dic₁₀₆	C₂³	semidirect
556. C₄×Dic₁₀₆	C₂³	semidirect
557. C₄×Dic₁₀₆	C₂³	semidirect
558. C₄×Dic₁₀₆	C₂³	semidirect
559. C₄×Dic₁₀₆	C₂³	semidirect
560. #13133182	C₂³	semidirect
561. #13133182	C₂³	semidirect
562. #13133182	C₂³	semidirect
563. #13133182	C₂³	semidirect
564. #13133182	C₂³	semidirect
565. #13133182	C₂³	semidirect
566. #13133182	C₂³	semidirect
576. C₄×D₂₁₂	C₂³	semidirect
577. C₄×D₂₁₂	C₂³	semidirect
590. D₄×Dic₅₃	C₂³	semidirect
591. D₄×Dic₅₃	C₂³	semidirect
592. D₄×Dic₅₃	C₂³	semidirect
593. D₄×Dic₅₃	C₂³	semidirect
594. D₄×Dic₅₃	C₂³	semidirect
595. D₄×Dic₅₃	C₂³	semidirect
596. D₄×Dic₅₃	C₂³	semidirect
597. D₄×Dic₅₃	C₂³	semidirect
598. D₄×Dic₅₃	C₂³	semidirect
599. D₄×Dic₅₃	C₂³	semidirect
600. D₄×Dic₅₃	C₂³	semidirect
601. D₄×Dic₅₃	C₂³	semidirect
612. #13133179	C₂³	semidirect
613. #13133179	C₂³	semidirect
629. C₄×C₂²⋊D₅₃	C₂³	semidirect
630. C₄×C₂²⋊D₅₃	C₂³	semidirect
631. C₄×C₂²⋊D₅₃	C₂³	semidirect
632. C₄×C₂²⋊D₅₃	C₂³	semidirect
633. C₄×C₂²⋊D₅₃	C₂³	semidirect
634. C₄×C₂²⋊D₅₃	C₂³	semidirect
652. #13133177	C₂³	semidirect
653. #13133177	C₂³	semidirect
654. #13133177	C₂³	semidirect
655. #13133177	C₂³	semidirect
656. #13133177	C₂³	semidirect
657. #13133177	C₂³	semidirect
658. #13133177	C₂³	semidirect
659. #13133177	C₂³	semidirect
660. #13133177	C₂³	semidirect
661. #13133177	C₂³	semidirect
662. #13133177	C₂³	semidirect
663. #13133177	C₂³	semidirect
664. #13133177	C₂³	semidirect
666. #13133176	C₂³	semidirect
667. #13133176	C₂³	semidirect
673. #13133175	C₂³	semidirect
674. #13133175	C₂³	semidirect
675. #13133175	C₂³	semidirect
676. #13133175	C₂³	semidirect
677. #13133175	C₂³	semidirect
678. #13133175	C₂³	semidirect
679. #13133175	C₂³	semidirect
682. #13133174	C₂³	semidirect
683. #13133174	C₂³	semidirect
685. #13133173	C₂³	semidirect
686. #13133173	C₂³	semidirect
687. #13133173	C₂³	semidirect
688. #13133173	C₂³	semidirect
689. #13133173	C₂³	semidirect
690. #13133173	C₂³	semidirect
691. #13133173	C₂³	semidirect
692. #13133173	C₂³	semidirect
694. C₂×C₄⋊Dic₅₃	C₂³	semidirect
695. C₂×C₄⋊Dic₅₃	C₂³	semidirect
696. C₂×C₄⋊Dic₅₃	C₂³	semidirect
698. C₂×#11719919	C₂³	semidirect
699. C₂×#11719919	C₂³	semidirect
706. C₄⋊C₄×D₅₃	C₂³	semidirect
707. C₄⋊C₄×D₅₃	C₂³	semidirect
708. C₄⋊C₄×D₅₃	C₂³	semidirect
709. C₄⋊C₄×D₅₃	C₂³	semidirect
710. C₄⋊C₄×D₅₃	C₂³	semidirect
713. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
714. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
719. C₂×#11719921	C₂³	semidirect
731. C₂²⋊C₄×D₅₃	C₂³	semidirect
732. C₂²⋊C₄×D₅₃	C₂³	semidirect
733. C₂²⋊C₄×D₅₃	C₂³	semidirect
737. C₂×C₄×Dic₅₃	C₂³	semidirect
738. C₂×C₄×Dic₅₃	C₂³	semidirect
739. C₂×C₄×Dic₅₃	C₂³	semidirect
748. C₄²×D₅₃	C₂³	semidirect
749. C₄²×D₅₃	C₂³	semidirect
751. C₂×#41×C₅₃	C₂³	semidirect
755. C₂²×D₄×C₅₃	C₂³	semidirect
757. C₄⋊Q₈×C₅₃	C₂³	semidirect
759. #127×C₅₃	C₂³	semidirect
760. #126×C₅₃	C₂³	semidirect
761. #126×C₅₃	C₂³	semidirect
762. #125×C₅₃	C₂³	semidirect
763. #125×C₅₃	C₂³	semidirect
764. #124×C₅₃	C₂³	semidirect
765. #124×C₅₃	C₂³	semidirect
766. #124×C₅₃	C₂³	semidirect
768. #123×C₅₃	C₂³	semidirect
769. #123×C₅₃	C₂³	semidirect
770. #123×C₅₃	C₂³	semidirect
772. C₂²⋊Q₈×C₅₃	C₂³	semidirect
773. C₂²⋊Q₈×C₅₃	C₂³	semidirect
780. #121×C₅₃	C₂³	semidirect
781. #121×C₅₃	C₂³	semidirect
782. #121×C₅₃	C₂³	semidirect
783. #121×C₅₃	C₂³	semidirect
784. #121×C₅₃	C₂³	semidirect
785. #121×C₅₃	C₂³	semidirect
786. #121×C₅₃	C₂³	semidirect
789. #120×C₅₃	C₂³	semidirect
790. C₄×Q₈×C₅₃	C₂³	semidirect
800. C₄×D₄×C₅₃	C₂³	semidirect
801. C₄×D₄×C₅₃	C₂³	semidirect
802. C₄×D₄×C₅₃	C₂³	semidirect
803. C₄×D₄×C₅₃	C₂³	semidirect
804. C₄×D₄×C₅₃	C₂³	semidirect
805. C₄×D₄×C₅₃	C₂³	semidirect
806. #117×C₅₃	C₂³	semidirect
807. #117×C₅₃	C₂³	semidirect
808. #117×C₅₃	C₂³	semidirect
810. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
812. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
813. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
926. D₄×D₅₃	#41	semidirect
1171. C₂²×D₅₃	C₂×#41	semidirect
1192. D₄×C₅₃	C₂×#41	semidirect
1235. C₂²⋊D₅₃	C₂×#41	semidirect
1271. D₂₁₂	C₂×#41	semidirect
1301. C₄×D₅₃	C₂×#41	semidirect
1302. C₄×D₅₃	H(5,𝔽₂)	semidirect
1381. #3519	D₅₃	semidirect
1437. #555	C₂×D₅₃	semidirect
1446. #554	C₂×D₅₃	semidirect
1459. #553	C₂×D₅₃	semidirect
1460. #553	C₂×D₅₃	semidirect
1482. #550	C₂×D₅₃	semidirect
1518. #546	C₂×D₅₃	semidirect
1519. #546	C₂×D₅₃	semidirect
1527. D₄²	C₂×D₅₃	semidirect
1528. D₄²	C₂×D₅₃	semidirect
1536. #540	C₂×D₅₃	semidirect
1550. #538	C₂×D₅₃	semidirect
1571. #532	C₂×D₅₃	semidirect
1592. #529	C₂×D₅₃	semidirect
1623. #525	C₂×D₅₃	semidirect
1633. C₂×#121	C₂×D₅₃	semidirect
1646. #518	C₂×D₅₃	semidirect
1681. C₂×C₄×D₄	C₂×D₅₃	semidirect
1687. C₅₃	#62773	semidirect
1709. C₂×#41	C₂²×D₅₃	semidirect
1732. C₂²×D₄	C₂²×D₅₃	semidirect
1760. C₄⋊Q₈	C₂²×D₅₃	semidirect
1765. #127	C₂²×D₅₃	semidirect
1782. #126	C₂²×D₅₃	semidirect
1783. #126	C₂²×D₅₃	semidirect
1796. #125	C₂²×D₅₃	semidirect
1797. #125	C₂²×D₅₃	semidirect
1813. #124	C₂²×D₅₃	semidirect
1814. #124	C₂²×D₅₃	semidirect
1815. #124	C₂²×D₅₃	semidirect
1854. #123	C₂²×D₅₃	semidirect
1855. #123	C₂²×D₅₃	semidirect
1856. #123	C₂²×D₅₃	semidirect
1900. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1901. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1950. #121	C₂²×D₅₃	semidirect
1951. #121	C₂²×D₅₃	semidirect
1952. #121	C₂²×D₅₃	semidirect
1953. #121	C₂²×D₅₃	semidirect
1954. #121	C₂²×D₅₃	semidirect
1955. #121	C₂²×D₅₃	semidirect
1956. #121	C₂²×D₅₃	semidirect
1979. #120	C₂²×D₅₃	semidirect
1996. C₄×Q₈	C₂²×D₅₃	semidirect
2104. C₄×D₄	C₂²×D₅₃	semidirect
2105. C₄×D₄	C₂²×D₅₃	semidirect
2106. C₄×D₄	C₂²×D₅₃	semidirect
2107. C₄×D₄	C₂²×D₅₃	semidirect
2108. C₄×D₄	C₂²×D₅₃	semidirect
2109. C₄×D₄	C₂²×D₅₃	semidirect
2138. #117	C₂²×D₅₃	semidirect
2139. #117	C₂²×D₅₃	semidirect
2140. #117	C₂²×D₅₃	semidirect
2160. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2185. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2186. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2614. D₄	#41×D₅₃	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20288766	2
#20288764	2
#20288752	2
#20288742	2
#20288741	2
#20288653	2
#20288651	2
#20288643	2
#20288559	2
#20288557	2
#20288544	2
#20288542	2
#20288512	2
#20288471	2
#20288419	2
#20288397	2
#20288343	2
#20288322	2
#20288320	2
#20288316	2
#20288281	2
#20288274	2
#20288272	2
#20288205	2
#20288199	2
D₄×#11719947	2
#20288130	2
#20288126	2
#20288010	2
#20288009	2
C₂×#16811133	2
#525×D₅₃	2
#20287919	2
C₂×C₄×D₄×D₅₃	2
C₅₃×#3519	2
#62773	53