Subgroups — #28292655

Order 13568.

7286 conjugacy classes of subgroups.

The subgroup lattice has 2718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288470	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288469	C₂	1	1	yes	maximal, characteristic, complemented
3	#20288468	C₂	1	1	yes	maximal, characteristic, complemented
4	#20288467	C₂	1	1	yes	maximal, characteristic, complemented
5	#20288465	C₂	1	2	yes	maximal, complemented
6	#20288455	C₂	1	2	yes	maximal, complemented
7	#20288447	C₂	1	1	yes	maximal, characteristic, complemented
8	#20288445	C₂	1	2	yes	maximal, complemented
9	#20288444	C₂	1	1	yes	maximal, characteristic, complemented
10	#20288442	C₂	1	2	yes	maximal, complemented
11	#20288440	C₂	1	1	yes	maximal, characteristic, complemented
12	#20288431	C₂	1	2	yes	maximal, complemented
13	#20288426	C₂	1	2	yes	maximal, complemented
14	#20288419	C₂	1	2	yes	maximal, complemented
15	#20288417	C₂	1	2	yes	maximal, complemented
16	#20288406	C₂	1	4	yes	maximal, complemented
17	#20288397	C₂	1	4	yes	maximal, complemented
18	#20288278	C₂	1	2	yes	maximal, complemented
19	#20288274	C₂	1	2	yes	maximal, complemented
20	#20288274	C₂	1	2	yes	maximal, complemented
21	#20288272	C₂	1	2	yes	maximal, complemented
22	#20288270	C₂	1	4	yes	maximal, complemented
23	#20288266	C₂	1	4	yes	maximal, complemented
24	#20288119	C₂	1	1	yes	maximal, characteristic, complemented
25	#20288102	C₂	1	2	yes	maximal, complemented
26	#20288099	C₂	1	2	yes	maximal, complemented
27	#20288046	C₂	1	1	yes	maximal, characteristic, complemented
28	#20288010	C₂	1	2	yes	maximal, complemented
29	#20288009	C₂	1	2	yes	maximal, complemented
30	C₂×#16811133	C₂	1	1	yes	maximal, characteristic, complemented
31	#525×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
32	#20287915	C₂	1	1	yes	maximal, characteristic, complemented
33	#20287913	C₂	1	1	yes	maximal, characteristic, complemented
34	C₂×#117×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3494	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂²×#11719947	C₂²	1	1	yes	characteristic
37	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
38	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
39	#16811347	C₂²	1	2	yes	complemented
40	#16811343	C₂²	1	2	yes	complemented
41	#16811342	C₂²	1	4	yes	complemented
42	#16811341	C₂²	1	2	yes	complemented
43	#16811341	C₂²	1	2	yes	complemented
44	#16811340	C₂²	1	4	yes	complemented
45	#16811338	C₂²	1	2	yes	complemented
46	#16811337	C₂²	1	4	yes	complemented
47	#16811337	C₂²	1	2	yes	complemented
48	#16811337	C₂²	1	2	yes	complemented
49	#16811335	C₂²	1	4	yes	complemented
50	#16811334	C₂²	1	2	yes	complemented
51	#16811332	C₂²	1	4	yes	complemented
52	#16811330	C₂²	1	2	yes	complemented
53	#16811328	C₂²	1	2	yes	complemented
54	#16811328	C₂²	1	2	yes	complemented
55	#16811327	C₂²	1	4	yes	complemented
56	#16811325	C₂²	1	2	yes	complemented
57	#16811325	C₂²	1	2	yes	complemented
58	#16811323	C₂²	1	2	yes	complemented
59	#16811323	C₂²	1	2	yes	complemented
60	#16811322	C₂²	1	4	yes	complemented
61	#16811320	C₂²	1	2	yes	complemented
62	#16811320	C₂²	1	2	yes	complemented
63	#16811318	C₂²	1	4	yes	complemented
64	#16811316	C₂²	1	4	yes	complemented
65	#16811316	C₂²	1	4	yes	complemented
66	#16811315	C₂²	1	4	yes	complemented
67	#16811313	C₂²	1	4	yes	complemented
68	#16811313	C₂²	1	2	yes	complemented
69	#16811313	C₂²	1	2	yes	complemented
70	#16811312	C₂²	1	2	yes	complemented
71	#16811312	C₂²	1	4	yes	complemented
72	#16811312	C₂²	1	2	yes	complemented
73	#16811311	C₂²	1	2	yes	complemented
74	#16811311	C₂²	1	2	yes	complemented
75	#16811310	C₂²	1	4	yes	complemented
76	#16811310	C₂²	1	4	yes	complemented
77	#16811310	C₂²	1	4	yes	complemented
78	#16811309	C₂²	1	4	yes	complemented
79	#16811309	C₂²	1	4	yes	complemented
80	#16811309	C₂²	1	4	yes	complemented
81	#16811308	C₂²	1	2	yes	complemented
82	#16811308	C₂²	1	2	yes	complemented
83	#16811307	C₂²	1	4	yes	complemented
84	#16811306	C₂²	1	4	yes	complemented
85	#16811306	C₂²	1	4	yes	complemented
86	#16811304	C₂²	1	4	yes	complemented
87	#16811304	C₂²	1	4	yes	complemented
88	#16811303	C₂²	1	4	yes	complemented
89	#16811303	C₂²	1	4	yes	complemented
90	#16811302	C₂²	1	4	yes	complemented
91	#16811302	C₂²	1	4	yes	complemented
92	#16811302	C₂²	1	4	yes	complemented
93	#16811301	C₂²	1	4	yes	complemented
94	#16811301	C₂²	1	4	yes	complemented
95	#16811300	C₂²	1	4	yes	complemented
96	#16811299	C₂²	1	4	yes	complemented
97	#16811299	C₂²	1	4	yes	complemented
98	#16811299	C₂²	1	4	yes	complemented
99	#16811296	C₂²	1	4	yes	complemented
100	#16811296	C₂²	1	4	yes	complemented
101	#16811278	C₂²	1	2	yes	complemented
102	#16811273	C₂²	1	2	yes	complemented
103	#16811273	C₂²	1	2	yes	complemented
104	#16811272	C₂²	1	4	yes	complemented
105	#16811271	C₂²	1	4	yes	complemented
106	#16811270	C₂²	1	4	yes	complemented
107	#16811267	C₂²	1	4	yes	complemented
108	#16811263	C₂²	1	4	yes	complemented
109	#16811262	C₂²	1	4	yes	complemented
110	#16811262	C₂²	1	4	yes	complemented
111	#16811261	C₂²	1	4	yes	complemented
112	#16811260	C₂²	1	4	yes	complemented
113	#16811254	C₂²	1	1	yes	characteristic, complemented
114	#16811253	C₂²	1	2	yes	complemented
115	#16811253	C₂²	1	2	yes	complemented
116	#16811251	C₂²	1	1	yes	characteristic, complemented
117	#16811251	C₂²	1	1	yes	characteristic, complemented
118	#16811250	C₂²	1	2	yes	complemented
119	#16811250	C₂²	1	2	yes	complemented
120	#16811248	C₂²	1	4	yes	—
121	#16811247	C₂²	1	2	yes	complemented
122	#16811244	C₂²	1	2	yes	complemented
123	#16811242	C₂²	1	2	yes	complemented
124	#16811240	C₂²	1	2	yes	complemented
125	#16811240	C₂²	1	2	yes	complemented
126	#16811238	C₂²	1	2	yes	complemented
127	#16811238	C₂²	1	2	yes	complemented
128	#16811236	C₂²	1	2	yes	complemented
129	#16811235	C₂²	1	2	yes	complemented
130	#16811233	C₂²	1	2	yes	complemented
131	#16811231	C₂²	1	2	yes	complemented
132	#16811227	C₂²	1	2	yes	complemented
133	#16811226	C₂²	1	2	yes	complemented
134	#16811224	C₂²	1	2	yes	complemented
135	#16811219	C₂²	1	4	yes	complemented
136	#16811216	C₂²	1	4	yes	complemented
137	#16811216	C₂²	1	4	yes	complemented
138	#16811214	C₂²	1	4	yes	complemented
139	#16811209	C₂²	1	4	yes	complemented
140	#16811207	C₂²	1	4	yes	complemented
141	#16811205	C₂²	1	4	yes	complemented
142	#16811205	C₂²	1	4	yes	complemented
143	#16811202	C₂²	1	2	yes	complemented
144	#16811202	C₂²	1	2	yes	complemented
145	#16811199	C₂²	1	1	yes	characteristic, complemented
146	#16811194	C₂²	1	1	yes	characteristic, complemented
147	#16811193	C₂²	1	2	yes	complemented
148	#16811190	C₂²	1	1	yes	characteristic, complemented
149	#16811186	C₂²	1	2	yes	complemented
150	#16811183	C₂²	1	4	yes	—
151	#16811180	C₂²	1	2	yes	complemented
152	#16811179	C₂²	1	2	yes	complemented
153	#16811179	C₂²	1	2	yes	complemented
154	#16811178	C₂²	1	2	yes	complemented
155	#16811178	C₂²	1	2	yes	complemented
156	#16811178	C₂²	1	2	yes	complemented
157	#16811177	C₂²	1	2	yes	complemented
158	#16811175	C₂²	1	2	yes	complemented
159	#16811175	C₂²	1	4	yes	complemented
160	#16811172	C₂²	1	2	yes	complemented
161	#16811171	C₂²	1	2	yes	complemented
162	#16811171	C₂²	1	2	yes	complemented
163	#16811170	C₂²	1	2	yes	complemented
164	#16811168	C₂²	1	2	yes	complemented
165	#16811159	C₂²	1	4	yes	complemented
166	#16811158	C₂²	1	2	yes	complemented
167	#16811157	C₂²	1	2	yes	complemented
168	#16811156	C₂²	1	4	yes	complemented
169	#16811156	C₂²	1	4	yes	complemented
170	#16811156	C₂²	1	4	yes	complemented
171	#16811155	C₂²	1	4	yes	complemented
172	#16811155	C₂²	1	2	yes	complemented
173	#16811155	C₂²	1	2	yes	complemented
174	#16811154	C₂²	1	4	yes	complemented
175	#16811154	C₂²	1	2	yes	complemented
176	#16811154	C₂²	1	2	yes	complemented
177	#16811154	C₂²	1	4	yes	complemented
178	#16811154	C₂²	1	4	yes	complemented
179	#16811152	C₂²	1	4	yes	complemented
180	#16811152	C₂²	1	2	yes	complemented
181	#16811152	C₂²	1	4	yes	complemented
182	#16811152	C₂²	1	4	yes	complemented
183	#16811151	C₂²	1	4	yes	complemented
184	#16811150	C₂²	1	4	yes	complemented
185	#16811150	C₂²	1	4	yes	complemented
186	#16811150	C₂²	1	4	yes	complemented
187	#16811150	C₂²	1	4	yes	complemented
188	#16811136	C₂²	1	1	yes	characteristic, complemented
189	#16811136	C₂²	1	1	yes	characteristic, complemented
190	#16811135	C₂²	1	1	yes	characteristic
191	#16811134	C₂²	1	1	yes	characteristic
192	#16811133	C₂²	1	2	yes	—
193	#16811133	C₂²	1	2	yes	—
194	#16811133	C₂²	1	2	yes	—
195	#16811133	C₂²	1	2	yes	—
196	#16811133	C₂²	1	2	yes	complemented
197	#16811133	C₂²	1	1	yes	characteristic, complemented
198	#16811133	C₂²	1	4	yes	complemented
199	#16811133	C₂²	1	1	yes	characteristic, complemented
200	#16811133	C₂²	1	2	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	#16811132	C₂²	1	4	yes	complemented
206	#16811132	C₂²	1	2	yes	complemented
207	#16811132	C₂²	1	2	yes	complemented
208	#16811131	C₂²	1	2	yes	—
209	#16811131	C₂²	1	4	yes	complemented
210	#16811130	C₂²	1	1	yes	characteristic
211	#16811130	C₂²	1	4	yes	complemented
212	#16811129	C₂²	1	2	yes	—
213	#16811129	C₂²	1	4	yes	complemented
214	C₂×#13133199	C₂²	1	2	yes	—
215	#123×D₅₃	C₂²	1	2	yes	—
216	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
217	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
218	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
220	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
221	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
222	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
223	C₂×#13133185	C₂²	1	2	yes	—
224	#120×D₅₃	C₂²	1	2	yes	—
225	#16811106	C₂²	1	1	yes	characteristic, complemented
226	#16811104	C₂²	1	1	yes	characteristic, complemented
227	#16811104	C₂²	1	2	yes	complemented
228	#16811103	C₂²	1	1	yes	characteristic, complemented
229	#16811103	C₂²	1	2	yes	complemented
230	#16811102	C₂²	1	2	yes	complemented
231	#16811102	C₂²	1	2	yes	complemented
232	#16811102	C₂²	1	2	yes	complemented
233	#16811102	C₂²	1	2	yes	complemented
234	#16811100	C₂²	1	1	yes	characteristic, complemented
235	#16811100	C₂²	1	1	yes	characteristic, complemented
236	#16811099	C₂²	1	2	yes	complemented
237	#16811098	C₂²	1	1	yes	characteristic, complemented
238	#16811096	C₂²	1	4	yes	—
239	#16811095	C₂²	1	4	yes	—
240	#16811095	C₂²	1	2	yes	complemented
241	#41×Dic₅₃	C₂²	1	4	yes	complemented
242	C₄×#11719949	C₂²	1	2	yes	complemented
243	#16811091	C₂²	1	4	yes	complemented
244	C₄×#11719947	C₂²	1	4	yes	complemented
245	C₄×#11719947	C₂²	1	4	yes	complemented
246	C₄×#11719947	C₂²	1	2	yes	complemented
247	C₄×#11719947	C₂²	1	4	yes	complemented
248	C₄×#11719947	C₂²	1	2	yes	complemented
249	C₄×#11719947	C₂²	1	2	yes	complemented
250	C₄×#11719947	C₂²	1	2	yes	complemented
251	C₄×#11719947	C₂²	1	2	yes	complemented
252	C₂×D₄×Dic₅₃	C₂²	1	2	yes	complemented
253	C₂×#13133177	C₂²	1	2	yes	complemented
254	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
255	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
256	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
257	C₂×#13133175	C₂²	1	1	yes	characteristic
258	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
259	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
260	C₂×#13133175	C₂²	1	2	yes	complemented
261	C₂×#13133174	C₂²	1	2	yes	complemented
262	C₂×#13133173	C₂²	1	2	yes	complemented
263	C₂×#13133173	C₂²	1	4	yes	complemented
264	#117×D₅₃	C₂²	1	1	yes	characteristic
265	#117×D₅₃	C₂²	1	1	yes	characteristic
266	#117×D₅₃	C₂²	1	2	yes	—
267	#117×D₅₃	C₂²	1	1	yes	characteristic
268	#117×D₅₃	C₂²	1	2	yes	complemented
269	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
270	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
271	#117×D₅₃	C₂²	1	2	yes	complemented
272	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
273	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
274	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
275	#117×D₅₃	C₂²	1	2	yes	complemented
276	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
277	#117×D₅₃	C₂²	1	2	yes	complemented
278	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
279	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
280	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
281	C₂×C₄²×D₅₃	C₂²	1	2	yes	complemented
282	C₅₃×#555	C₂²	1	2	yes	complemented
283	C₅₃×#553	C₂²	1	2	yes	complemented
284	C₅₃×#553	C₂²	1	2	yes	complemented
285	C₅₃×#551	C₂²	1	4	yes	complemented
286	C₅₃×#547	C₂²	1	2	yes	complemented
287	C₅₃×#546	C₂²	1	4	yes	complemented
288	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
289	C₅₃×#542	C₂²	1	2	yes	complemented
290	C₅₃×#540	C₂²	1	2	yes	complemented
291	C₅₃×#535	C₂²	1	1	yes	characteristic, complemented
292	C₅₃×#532	C₂²	1	2	yes	complemented
293	C₅₃×#529	C₂²	1	2	yes	complemented
294	C₅₃×#525	C₂²	1	1	yes	characteristic
295	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
296	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
297	C₅₃×#518	C₂²	1	1	yes	characteristic, complemented
298	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
299	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
300	C₂×#11719949	C₂³	1	1	yes	characteristic
301	C₂×#11719945	C₂³	1	2	yes	—
302	C₂×#11719945	C₂³	1	1	yes	characteristic
303	C₂×#11719945	C₂³	1	4	yes	—
304	C₂×#11719947	—	2	8	no	—
305	C₂×#11719947	C₂³	1	2	yes	—
306	C₂×#11719947	C₂³	1	2	yes	—
307	C₂×#11719947	C₂³	1	1	yes	characteristic
308	C₂×#11719947	C₂³	1	2	yes	—
309	C₂×#11719947	C₂³	1	2	yes	—
310	C₂×#11719947	C₂³	1	2	yes	—
311	C₂×#11719947	C₂³	1	4	yes	—
312	C₂×#11719947	C₂³	1	4	yes	—
313	#41×D₅₃	—	2	8	no	—
314	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
315	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
316	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
317	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
318	C₂×D₄×D₅₃	C₂³	1	2	yes	—
319	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
320	C₂×D₄×D₅₃	C₂³	1	2	yes	—
321	C₂×D₄×D₅₃	C₂³	1	2	yes	—
322	C₂³×Dic₅₃	C₂³	1	2	yes	—
323	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
324	C₂²×C₄×D₅₃	—	2	8	no	—
325	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
326	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
327	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
328	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
329	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
330	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
331	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
332	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
333	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
334	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
335	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
336	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
337	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
338	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
339	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
340	#13133217	C₂³	1	2	yes	complemented
341	#13133217	C₂³	1	2	yes	complemented
342	#13133217	C₂³	1	2	yes	complemented
343	#13133216	C₂³	1	4	yes	complemented
344	#13133216	C₂³	1	2	yes	complemented
345	#13133216	C₂³	1	2	yes	complemented
346	#13133216	C₂³	1	2	yes	complemented
347	#13133216	C₂³	1	2	yes	complemented
348	#13133215	C₂³	1	4	yes	complemented
349	#13133215	C₂³	1	2	yes	complemented
350	#13133213	C₂³	1	2	yes	complemented
351	#13133212	C₂³	1	4	yes	—
352	#13133212	C₂³	1	4	yes	—
353	#13133212	C₂³	1	4	yes	—
354	#13133212	C₂³	1	4	yes	complemented
355	#13133212	C₂³	1	4	yes	complemented
356	#13133212	C₂³	1	4	yes	complemented
357	#13133211	C₂³	1	4	yes	—
358	#13133211	C₂³	1	4	yes	complemented
359	#13133210	C₂³	1	4	yes	—
360	#13133210	C₂³	1	4	yes	—
361	#13133210	C₂³	1	4	yes	—
362	#13133210	C₂³	1	4	yes	—
363	#13133210	C₂³	1	4	yes	complemented
364	#13133210	C₂³	1	4	yes	complemented
365	#13133210	C₂³	1	4	yes	complemented
366	#13133210	C₂³	1	4	yes	complemented
367	#13133210	C₂³	1	4	yes	complemented
368	#13133210	C₂³	1	4	yes	complemented
369	#13133210	C₂³	1	4	yes	complemented
370	#13133210	C₂³	1	4	yes	complemented
371	#13133210	C₂³	1	4	yes	complemented
372	#13133210	C₂³	1	4	yes	complemented
373	#13133209	C₂³	1	4	yes	complemented
374	#13133209	C₂³	1	4	yes	complemented
375	#13133209	C₂³	1	2	yes	complemented
376	#13133209	C₂³	1	2	yes	complemented
377	#13133208	C₂³	1	4	yes	complemented
378	#13133208	C₂³	1	2	yes	complemented
379	#13133208	C₂³	1	2	yes	complemented
380	#13133208	C₂³	1	4	yes	complemented
381	#13133208	C₂³	1	4	yes	complemented
382	#13133208	C₂³	1	4	yes	complemented
383	#13133208	C₂³	1	2	yes	complemented
384	#13133208	C₂³	1	2	yes	complemented
385	#13133207	C₂³	1	4	yes	complemented
386	#13133207	C₂³	1	4	yes	complemented
387	#13133207	C₂³	1	4	yes	complemented
388	#13133207	C₂³	1	4	yes	complemented
389	#13133207	C₂³	1	4	yes	complemented
390	#13133207	C₂³	1	4	yes	complemented
391	#13133207	C₂³	1	4	yes	complemented
392	#13133207	C₂³	1	4	yes	complemented
393	#13133206	C₂³	1	4	yes	—
394	#13133205	C₂³	1	2	yes	complemented
395	#13133204	C₂³	1	4	yes	—
396	#13133204	C₂³	1	4	yes	—
397	#13133204	C₂³	1	4	yes	complemented
398	#13133204	C₂³	1	2	yes	complemented
399	#13133204	C₂³	1	2	yes	complemented
400	#13133203	C₂³	1	4	yes	—
401	#13133203	C₂³	1	4	yes	—
402	#13133203	C₂³	1	4	yes	—
403	#13133203	C₂³	1	4	yes	—
404	#13133203	C₂³	1	4	yes	complemented
405	#13133203	C₂³	1	4	yes	complemented
406	#13133202	C₂³	1	4	yes	—
407	#13133202	C₂³	1	4	yes	—
408	#13133202	C₂³	1	2	yes	—
409	#13133202	C₂³	1	2	yes	—
410	#13133201	C₂³	1	4	yes	—
411	#13133201	C₂³	1	2	yes	—
412	#13133201	C₂³	1	4	yes	—
413	#13133201	C₂³	1	4	yes	complemented
414	#13133200	C₂³	1	4	yes	—
415	#13133200	C₂³	1	2	yes	—
416	#13133200	C₂³	1	4	yes	—
417	#13133200	C₂³	1	4	yes	—
418	#13133200	C₂³	1	4	yes	complemented
419	#13133199	C₂³	1	4	yes	—
420	#13133199	C₂³	1	4	yes	—
421	#13133199	C₂³	1	4	yes	—
422	#13133199	C₂³	1	4	yes	—
423	#13133199	C₂³	1	4	yes	—
424	#13133199	C₂³	1	4	yes	—
425	#13133199	C₂³	1	4	yes	—
426	#13133199	C₂³	1	4	yes	—
427	#13133199	C₂³	1	2	yes	—
428	#13133199	C₂³	1	2	yes	—
429	#13133199	C₂³	1	4	yes	—
430	#13133199	C₂³	1	4	yes	—
431	#13133199	C₂³	1	4	yes	complemented
432	#13133199	C₂³	1	4	yes	complemented
433	#13133198	C₂³	1	4	yes	—
434	#13133198	C₂³	1	4	yes	—
435	#13133198	C₂³	1	4	yes	—
436	#13133198	C₂³	1	4	yes	—
437	#13133198	C₂³	1	2	yes	—
438	#13133198	C₂³	1	4	yes	—
439	#13133198	C₂³	1	4	yes	complemented
440	#13133198	C₂³	1	4	yes	complemented
441	#13133197	C₂³	1	4	yes	—
442	#13133197	C₂³	1	2	yes	—
443	#13133197	C₂³	1	2	yes	—
444	#13133197	C₂³	1	1	yes	characteristic
445	#13133197	C₂³	1	1	yes	characteristic
446	#13133197	C₂³	1	2	yes	—
447	#13133197	C₂³	1	2	yes	—
448	#13133197	C₂³	1	4	yes	—
449	#13133197	C₂³	1	2	yes	complemented
450	#13133197	C₂³	1	2	yes	complemented
451	#13133196	C₂³	1	4	yes	—
452	#13133196	C₂³	1	4	yes	—
453	#13133196	C₂³	1	2	yes	—
454	#13133196	C₂³	1	2	yes	—
455	#13133196	C₂³	1	1	yes	characteristic
456	#13133196	C₂³	1	1	yes	characteristic
457	#13133196	C₂³	1	2	yes	—
458	#13133196	C₂³	1	2	yes	—
459	#13133196	C₂³	1	4	yes	complemented
460	#13133196	C₂³	1	4	yes	complemented
461	#13133196	C₂³	1	2	yes	complemented
462	#13133196	C₂³	1	2	yes	complemented
463	#13133195	C₂³	1	4	yes	—
464	#13133195	C₂³	1	4	yes	—
465	#13133195	C₂³	1	4	yes	—
466	#13133195	C₂³	1	2	yes	—
467	#13133195	C₂³	1	2	yes	—
468	#13133195	C₂³	1	4	yes	—
469	#13133195	C₂³	1	4	yes	—
470	#13133195	C₂³	1	4	yes	complemented
471	#13133194	C₂³	1	4	yes	—
472	#13133194	C₂³	1	4	yes	—
473	#13133194	C₂³	1	4	yes	—
474	#13133194	C₂³	1	2	yes	—
475	#13133194	C₂³	1	2	yes	—
476	#13133194	C₂³	1	4	yes	complemented
477	#13133194	C₂³	1	4	yes	complemented
478	#13133194	C₂³	1	4	yes	complemented
479	#13133194	C₂³	1	4	yes	complemented
480	#13133194	C₂³	1	4	yes	complemented
481	#13133193	C₂³	1	4	yes	—
482	#13133193	C₂³	1	4	yes	—
483	#13133193	C₂³	1	1	yes	characteristic
484	#13133193	C₂³	1	1	yes	characteristic
485	#13133193	C₂³	1	4	yes	—
486	#13133193	C₂³	1	4	yes	complemented
487	#13133192	C₂³	1	1	yes	characteristic
488	#13133192	C₂³	1	1	yes	characteristic
489	#13133191	C₂³	1	4	yes	—
490	#13133191	C₂³	1	1	yes	characteristic
491	#13133191	C₂³	1	1	yes	characteristic
492	#13133190	C₂³	1	2	yes	—
493	#13133190	C₂³	1	4	yes	—
494	#13133190	C₂³	1	2	yes	—
495	#13133190	C₂³	1	4	yes	—
496	#13133190	C₂³	1	4	yes	—
497	#13133190	C₂³	1	4	yes	—
498	#13133189	C₂³	1	4	yes	—
499	#13133189	C₂³	1	4	yes	—
500	#13133189	C₂³	1	2	yes	—
501	#13133189	C₂³	1	2	yes	—
502	#13133189	C₂³	1	4	yes	—
503	#13133189	C₂³	1	4	yes	—
504	#13133189	C₂³	1	4	yes	complemented
505	#13133189	C₂³	1	4	yes	complemented
506	#13133188	C₂³	1	4	yes	—
507	#13133188	C₂³	1	4	yes	—
508	#13133188	C₂³	1	2	yes	—
509	#13133188	C₂³	1	2	yes	—
510	#13133188	C₂³	1	1	yes	characteristic
511	#13133188	C₂³	1	1	yes	characteristic
512	#13133188	C₂³	1	2	yes	—
513	#13133188	C₂³	1	2	yes	—
514	#13133188	C₂³	1	4	yes	—
515	#13133188	C₂³	1	4	yes	—
516	#13133188	C₂³	1	2	yes	complemented
517	#13133188	C₂³	1	2	yes	complemented
518	#13133187	C₂³	1	2	yes	—
519	#13133187	C₂³	1	2	yes	—
520	#13133187	C₂³	1	2	yes	—
521	#13133186	C₂³	1	2	yes	—
522	#13133186	C₂³	1	4	yes	—
523	#13133185	C₂³	1	4	yes	—
524	#13133185	C₂³	1	4	yes	—
525	#13133185	C₂³	1	4	yes	—
526	#13133185	C₂³	1	4	yes	—
527	#13133185	C₂³	1	2	yes	—
528	#13133185	C₂³	1	2	yes	—
529	#13133185	C₂³	1	2	yes	—
530	#13133185	C₂³	1	4	yes	—
531	#13133185	C₂³	1	4	yes	—
532	Q₈×Dic₅₃	C₂³	1	4	yes	complemented
533	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
534	Q₈×Dic₅₃	C₂³	1	4	yes	complemented
535	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
536	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
537	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
538	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
539	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
540	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
541	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
542	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
543	#13133182	C₂³	1	2	yes	complemented
544	#13133182	C₂³	1	4	yes	complemented
545	#13133182	C₂³	1	4	yes	complemented
546	#13133182	C₂³	1	2	yes	complemented
547	#13133182	C₂³	1	2	yes	complemented
548	#13133182	C₂³	1	2	yes	complemented
549	#13133182	C₂³	1	2	yes	complemented
550	#13133182	C₂³	1	4	yes	complemented
551	#13133182	C₂³	1	4	yes	complemented
552	#13133182	C₂³	1	4	yes	complemented
553	C₄×D₂₁₂	C₂³	1	2	yes	—
554	C₄×D₂₁₂	C₂³	1	2	yes	—
555	C₄×D₂₁₂	C₂³	1	4	yes	—
556	C₄×D₂₁₂	C₂³	1	2	yes	complemented
557	D₄×Dic₅₃	C₂³	1	4	yes	—
558	D₄×Dic₅₃	C₂³	1	4	yes	—
559	D₄×Dic₅₃	C₂³	1	4	yes	—
560	D₄×Dic₅₃	C₂³	1	4	yes	—
561	D₄×Dic₅₃	C₂³	1	4	yes	—
562	D₄×Dic₅₃	C₂³	1	2	yes	—
563	D₄×Dic₅₃	C₂³	1	2	yes	—
564	D₄×Dic₅₃	C₂³	1	4	yes	—
565	D₄×Dic₅₃	C₂³	1	4	yes	—
566	D₄×Dic₅₃	C₂³	1	2	yes	complemented
567	D₄×Dic₅₃	C₂³	1	2	yes	complemented
568	D₄×Dic₅₃	C₂³	1	4	yes	complemented
569	D₄×Dic₅₃	C₂³	1	2	yes	complemented
570	D₄×Dic₅₃	C₂³	1	2	yes	complemented
571	D₄×Dic₅₃	C₂³	1	2	yes	complemented
572	D₄×Dic₅₃	C₂³	1	4	yes	complemented
573	D₄×Dic₅₃	C₂³	1	4	yes	complemented
574	#13133179	C₂³	1	4	yes	—
575	#13133179	C₂³	1	2	yes	—
576	#13133179	C₂³	1	2	yes	—
577	#13133179	C₂³	1	4	yes	—
578	#13133179	C₂³	1	2	yes	complemented
579	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
580	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
581	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
582	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
583	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
584	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
585	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
586	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
587	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
588	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
589	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
590	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
591	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
592	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
593	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
594	#13133177	C₂³	1	4	yes	—
595	#13133177	C₂³	1	4	yes	—
596	#13133177	C₂³	1	4	yes	—
597	#13133177	C₂³	1	4	yes	—
598	#13133177	C₂³	1	4	yes	—
599	#13133177	C₂³	1	4	yes	—
600	#13133177	C₂³	1	2	yes	—
601	#13133177	C₂³	1	2	yes	—
602	#13133177	C₂³	1	2	yes	—
603	#13133177	C₂³	1	2	yes	—
604	#13133177	C₂³	1	4	yes	—
605	#13133177	C₂³	1	4	yes	—
606	#13133177	C₂³	1	4	yes	—
607	#13133177	C₂³	1	4	yes	—
608	#13133177	C₂³	1	4	yes	—
609	#13133177	C₂³	1	4	yes	complemented
610	#13133177	C₂³	1	4	yes	complemented
611	#13133177	C₂³	1	4	yes	complemented
612	#13133177	C₂³	1	4	yes	complemented
613	#13133176	C₂³	1	4	yes	—
614	#13133176	C₂³	1	2	yes	—
615	#13133176	C₂³	1	1	yes	characteristic
616	#13133176	C₂³	1	1	yes	characteristic
617	#13133176	C₂³	1	1	yes	characteristic
618	#13133176	C₂³	1	1	yes	characteristic
619	#13133176	C₂³	1	1	yes	characteristic
620	#13133176	C₂³	1	2	yes	—
621	#13133176	C₂³	1	4	yes	complemented
622	#13133176	C₂³	1	4	yes	complemented
623	#13133176	C₂³	1	2	yes	complemented
624	#13133175	C₂³	1	2	yes	—
625	#13133175	C₂³	1	4	yes	—
626	#13133175	C₂³	1	4	yes	—
627	#13133175	C₂³	1	2	yes	—
628	#13133175	C₂³	1	1	yes	characteristic
629	#13133175	C₂³	1	1	yes	characteristic
630	#13133175	C₂³	1	1	yes	characteristic
631	#13133175	C₂³	1	1	yes	characteristic
632	#13133175	C₂³	1	1	yes	characteristic
633	#13133175	C₂³	1	1	yes	characteristic
634	#13133175	C₂³	1	1	yes	characteristic
635	#13133175	C₂³	1	1	yes	characteristic
636	#13133175	C₂³	1	1	yes	characteristic
637	#13133175	C₂³	1	1	yes	characteristic
638	#13133175	C₂³	1	2	yes	—
639	#13133175	C₂³	1	2	yes	—
640	#13133175	C₂³	1	2	yes	—
641	#13133175	C₂³	1	2	yes	—
642	#13133175	C₂³	1	2	yes	—
643	#13133175	C₂³	1	2	yes	—
644	#13133175	C₂³	1	4	yes	complemented
645	#13133175	C₂³	1	2	yes	complemented
646	#13133175	C₂³	1	2	yes	complemented
647	#13133175	C₂³	1	4	yes	complemented
648	#13133174	C₂³	1	2	yes	—
649	#13133174	C₂³	1	4	yes	—
650	#13133174	C₂³	1	4	yes	—
651	#13133174	C₂³	1	2	yes	—
652	#13133174	C₂³	1	2	yes	—
653	#13133174	C₂³	1	2	yes	—
654	#13133174	C₂³	1	2	yes	—
655	#13133174	C₂³	1	2	yes	—
656	#13133174	C₂³	1	2	yes	—
657	#13133174	C₂³	1	2	yes	—
658	#13133174	C₂³	1	2	yes	—
659	#13133174	C₂³	1	4	yes	complemented
660	#13133173	C₂³	1	2	yes	—
661	#13133173	C₂³	1	4	yes	—
662	#13133173	C₂³	1	4	yes	—
663	#13133173	C₂³	1	4	yes	—
664	#13133173	C₂³	1	2	yes	—
665	#13133173	C₂³	1	2	yes	—
666	#13133173	C₂³	1	2	yes	—
667	#13133173	C₂³	1	2	yes	—
668	#13133173	C₂³	1	2	yes	—
669	#13133173	C₂³	1	2	yes	—
670	#13133173	C₂³	1	2	yes	—
671	#13133173	C₂³	1	2	yes	—
672	#13133173	C₂³	1	4	yes	complemented
673	#13133173	C₂³	1	4	yes	complemented
674	#13133173	C₂³	1	4	yes	complemented
675	#13133173	C₂³	1	4	yes	complemented
676	#13133173	C₂³	1	4	yes	complemented
677	#13133173	C₂³	1	4	yes	complemented
678	#13133173	C₂³	1	4	yes	complemented
679	#13133173	C₂³	1	4	yes	complemented
680	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
681	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
682	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
683	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
684	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
685	C₂×#11719919	C₂³	1	2	yes	—
686	C₂×#11719919	C₂³	1	2	yes	—
687	C₂×#11719919	C₂³	1	2	yes	—
688	C₂×#11719919	C₂³	1	4	yes	complemented
689	C₂×#11719919	C₂³	1	4	yes	complemented
690	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
691	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
692	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
693	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
694	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
695	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
696	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
697	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
698	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
699	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
700	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
701	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
702	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
703	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
704	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
705	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
706	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
707	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
708	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
709	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
710	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
711	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
712	C₂×#11719921	C₂³	1	2	yes	—
713	C₂×#11719921	C₂³	1	4	yes	—
714	C₂×#11719921	C₂³	1	2	yes	—
715	C₂×#11719921	C₂³	1	2	yes	—
716	C₂×#11719921	C₂³	1	2	yes	—
717	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
718	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
719	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
720	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
721	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
722	C₂²⋊C₄×D₅₃	C₂³	1	2	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	2	yes	—
731	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
732	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
733	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
734	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
735	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
736	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
737	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
738	C₄²×D₅₃	C₂³	1	2	yes	—
739	C₄²×D₅₃	C₂³	1	2	yes	—
740	C₄²×D₅₃	C₂³	1	2	yes	—
741	C₄²×D₅₃	C₂³	1	2	yes	—
742	C₄²×D₅₃	C₂³	1	2	yes	—
743	C₄²×D₅₃	C₂³	1	2	yes	—
744	C₄²×D₅₃	C₂³	1	2	yes	—
745	C₄²×D₅₃	C₂³	1	2	yes	—
746	C₄²×D₅₃	C₂³	1	2	yes	—
747	C₄²×D₅₃	C₂³	1	4	yes	complemented
748	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
749	C₂×#41×C₅₃	C₂³	1	4	yes	—
750	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
751	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
752	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
753	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
754	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
755	#127×C₅₃	C₂³	1	2	yes	complemented
756	#126×C₅₃	C₂³	1	4	yes	complemented
757	#126×C₅₃	C₂³	1	4	yes	complemented
758	#125×C₅₃	C₂³	1	2	yes	complemented
759	#125×C₅₃	C₂³	1	2	yes	complemented
760	#124×C₅₃	C₂³	1	4	yes	—
761	#124×C₅₃	C₂³	1	4	yes	complemented
762	#124×C₅₃	C₂³	1	2	yes	complemented
763	#123×C₅₃	C₂³	1	4	yes	—
764	#123×C₅₃	C₂³	1	4	yes	—
765	#123×C₅₃	C₂³	1	2	yes	—
766	#123×C₅₃	C₂³	1	4	yes	complemented
767	#123×C₅₃	C₂³	1	4	yes	complemented
768	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
769	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
770	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
771	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
772	#121×C₅₃	C₂³	1	4	yes	—
773	#121×C₅₃	C₂³	1	2	yes	—
774	#121×C₅₃	C₂³	1	2	yes	—
775	#121×C₅₃	C₂³	1	2	yes	—
776	#121×C₅₃	C₂³	1	2	yes	—
777	#121×C₅₃	C₂³	1	1	yes	characteristic
778	#121×C₅₃	C₂³	1	1	yes	characteristic
779	#121×C₅₃	C₂³	1	4	yes	—
780	#121×C₅₃	C₂³	1	4	yes	—
781	#121×C₅₃	C₂³	1	2	yes	complemented
782	#121×C₅₃	C₂³	1	2	yes	complemented
783	#120×C₅₃	C₂³	1	2	yes	—
784	#120×C₅₃	C₂³	1	4	yes	—
785	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
786	C₄×D₄×C₅₃	C₂³	1	4	yes	—
787	C₄×D₄×C₅₃	C₂³	1	4	yes	—
788	C₄×D₄×C₅₃	C₂³	1	2	yes	—
789	C₄×D₄×C₅₃	C₂³	1	2	yes	—
790	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
791	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
792	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
793	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
794	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
795	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
796	#117×C₅₃	C₂³	1	1	yes	characteristic
797	#117×C₅₃	C₂³	1	2	yes	—
798	#117×C₅₃	C₂³	1	1	yes	characteristic
799	#117×C₅₃	C₂³	1	1	yes	characteristic
800	#117×C₅₃	C₂³	1	2	yes	—
801	#117×C₅₃	C₂³	1	1	yes	characteristic
802	#117×C₅₃	C₂³	1	1	yes	characteristic
803	#117×C₅₃	C₂³	1	2	yes	complemented
804	#117×C₅₃	C₂³	1	4	yes	complemented
805	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
806	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
807	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
808	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
809	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
810	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
811	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
812	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
813	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
814	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
815	C₂³×D₅₃	—	2	4	no	—
816	C₂³×D₅₃	—	4	2	no	—
817	C₂³×D₅₃	—	4	2	no	—
818	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
819	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
820	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
821	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
822	C₂³×D₅₃	C₂⁴	1	2	yes	—
823	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
824	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
825	#41×C₅₃	—	2	4	no	—
826	#41×C₅₃	—	4	8	no	—
827	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
828	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
829	C₂×D₄×C₅₃	—	2	4	no	—
830	C₂×D₄×C₅₃	—	4	4	no	—
831	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
832	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
833	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
834	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
835	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
836	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
837	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
838	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
839	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
840	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
841	C₂²×C₄×C₅₃	—	2	4	no	—
842	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
843	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
844	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
845	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
846	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
847	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
848	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
849	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
850	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
851	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
852	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
853	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
854	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
855	C₂×C₂²⋊D₅₃	—	2	8	no	—
856	C₂×C₂²⋊D₅₃	—	4	4	no	—
857	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
860	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
862	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
863	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
864	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
865	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
866	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
868	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
870	C₂²×Dic₅₃	—	2	4	no	—
871	C₂²×Dic₅₃	—	2	8	no	—
872	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
873	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
874	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
875	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
876	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
877	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
878	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
879	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
880	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
881	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
882	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
883	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
884	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
885	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
886	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
887	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
888	#11719949	—	2	4	no	—
889	Q₈×D₅₃	—	2	4	no	—
890	#11719947	—	2	8	no	—
891	#11719947	—	2	4	no	—
892	#11719947	—	2	8	no	—
893	#11719947	—	2	8	no	—
894	#11719947	—	2	8	no	—
895	#11719947	—	2	8	no	—
896	#11719947	—	4	8	no	—
897	#11719947	—	4	8	no	—
898	D₄×D₅₃	—	2	8	no	—
899	D₄×D₅₃	—	2	4	no	—
900	D₄×D₅₃	—	4	4	no	—
901	D₄×D₅₃	—	4	4	no	—
902	#11719945	—	2	4	no	—
903	#11719945	—	2	8	no	—
904	#11719945	—	4	8	no	—
905	C₂×D₂₁₂	C₂⁴	1	2	yes	—
906	C₂×D₂₁₂	C₂⁴	1	2	yes	—
907	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
908	C₂×D₂₁₂	C₂⁴	1	2	yes	—
909	C₂×C₄×D₅₃	—	2	4	no	—
910	C₂×C₄×D₅₃	—	2	4	no	—
911	C₂×C₄×D₅₃	—	2	4	no	—
912	C₂×C₄×D₅₃	—	2	4	no	—
913	C₂×C₄×D₅₃	—	2	4	no	—
914	C₂×C₄×D₅₃	—	2	4	no	—
915	C₂×C₄×D₅₃	—	2	4	no	—
916	C₂×C₄×D₅₃	—	2	4	no	—
917	C₂×C₄×D₅₃	—	2	4	no	—
918	C₂×C₄×D₅₃	—	2	4	no	—
919	C₂×C₄×D₅₃	—	2	4	no	—
920	C₂×C₄×D₅₃	—	2	8	no	—
921	C₂×C₄×D₅₃	—	4	4	no	—
922	C₂×C₄×D₅₃	—	4	4	no	—
923	C₂×C₄×D₅₃	#41	1	8	yes	complemented
924	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
925	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
926	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
927	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
928	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
929	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
930	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
931	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
932	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
933	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
934	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
935	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
936	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
937	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
938	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
939	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
940	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
941	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
942	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
943	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
944	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
945	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
946	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
947	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
948	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
949	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
950	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
951	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
952	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
953	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
954	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
955	C₂×Dic₁₀₆	—	2	4	no	—
956	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
957	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
958	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
959	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
960	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
961	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
962	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
963	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
964	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
965	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
966	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
967	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
968	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
969	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
970	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
971	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
972	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
973	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
974	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
975	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
976	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
977	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
978	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
979	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
980	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
981	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
982	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
983	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
984	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
985	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
986	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
987	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
988	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
989	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
990	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
991	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
992	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
993	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
994	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
995	C₄²×C₅₃	C₂⁴	1	2	yes	—
996	C₄²×C₅₃	C₂⁴	1	2	yes	—
997	C₄²×C₅₃	C₂⁴	1	2	yes	—
998	C₄²×C₅₃	C₂⁴	1	2	yes	—
999	C₄²×C₅₃	C₂⁴	1	2	yes	—
1000	C₄²×C₅₃	C₂⁴	1	4	yes	—
1001	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1002	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1003	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1004	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1005	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1006	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1007	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1008	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1009	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1010	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1011	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1012	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1013	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1014	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1015	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1016	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1017	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1018	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1019	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1020	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1021	#11719921	C₂⁴	1	2	yes	—
1022	#11719921	C₂⁴	1	2	yes	—
1023	#11719921	C₂⁴	1	2	yes	—
1024	#11719921	C₂⁴	1	2	yes	—
1025	#11719921	C₂⁴	1	2	yes	—
1026	#11719921	C₂⁴	1	2	yes	—
1027	#11719921	C₂⁴	1	2	yes	—
1028	#11719921	C₂⁴	1	2	yes	—
1029	#11719921	C₂⁴	1	4	yes	—
1030	#11719921	C₂⁴	1	2	yes	—
1031	#11719921	C₂⁴	1	2	yes	—
1032	#11719921	C₂⁴	1	2	yes	—
1033	#11719921	C₂⁴	1	2	yes	—
1034	#11719921	C₂⁴	1	2	yes	—
1035	#11719921	C₂⁴	1	2	yes	—
1036	#11719921	C₂⁴	1	2	yes	—
1037	#11719921	C₂⁴	1	2	yes	—
1038	#11719921	C₂⁴	1	2	yes	—
1039	#11719921	C₂⁴	1	2	yes	—
1040	#11719921	C₂⁴	1	4	yes	—
1041	#11719921	C₂⁴	1	4	yes	—
1042	#11719921	C₂⁴	1	4	yes	—
1043	#11719921	C₂⁴	1	4	yes	—
1044	#11719921	C₂⁴	1	4	yes	—
1045	#11719921	C₂⁴	1	4	yes	—
1046	#11719921	C₂⁴	1	4	yes	—
1047	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1048	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1049	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1050	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1051	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1052	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1053	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1054	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1055	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1056	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1057	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1058	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1059	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1060	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1061	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1062	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1063	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1064	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1065	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1066	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1067	#11719919	C₂⁴	1	2	yes	—
1068	#11719919	C₂⁴	1	2	yes	—
1069	#11719919	C₂⁴	1	2	yes	—
1070	#11719919	C₂⁴	1	2	yes	—
1071	#11719919	C₂⁴	1	2	yes	—
1072	#11719919	C₂⁴	1	2	yes	—
1073	#11719919	C₂⁴	1	2	yes	—
1074	#11719919	C₂⁴	1	2	yes	—
1075	#11719919	C₂⁴	1	2	yes	—
1076	#11719919	C₂⁴	1	2	yes	—
1077	#11719919	C₂⁴	1	2	yes	—
1078	#11719919	C₂⁴	1	2	yes	—
1079	#11719919	C₂⁴	1	2	yes	—
1080	#11719919	C₂⁴	1	2	yes	—
1081	#11719919	C₂⁴	1	4	yes	—
1082	#11719919	C₂⁴	1	4	yes	—
1083	#11719919	C₂⁴	1	4	yes	—
1084	#11719919	C₂⁴	1	4	yes	—
1085	#11719919	C₂⁴	1	4	yes	—
1086	#11719919	C₂⁴	1	4	yes	—
1087	#11719919	C₂⁴	1	4	yes	—
1088	#11719919	C₂⁴	1	4	yes	—
1089	#11719919	C₂⁴	1	4	yes	—
1090	#11719919	C₂⁴	1	4	yes	—
1091	#11719919	C₂⁴	1	4	yes	—
1092	#11719919	C₂⁴	1	4	yes	—
1093	#11719919	C₂⁴	1	4	yes	—
1094	#11719919	C₂⁴	1	4	yes	—
1095	#11719919	C₂⁴	1	4	yes	—
1096	#11719919	C₂⁴	1	4	yes	—
1097	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1098	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1099	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1100	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1101	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1102	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1103	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1104	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1105	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1106	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1107	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1108	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1109	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1110	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1111	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1112	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1113	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1114	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1115	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1116	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1117	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1118	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1119	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1120	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1121	C₂³×C₅₃	—	2	2	no	—
1122	C₂³×C₅₃	—	2	2	no	—
1123	C₂³×C₅₃	—	2	4	no	—
1124	C₂³×C₅₃	—	4	1	no	—
1125	C₂³×C₅₃	—	4	2	no	—
1126	C₂³×C₅₃	—	4	2	no	—
1127	C₂³×C₅₃	C₂⁵	1	4	yes	—
1128	C₂³×C₅₃	C₂⁵	1	2	yes	—
1129	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1130	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1131	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1132	C₂²×D₅₃	—	2	2	no	—
1133	C₂²×D₅₃	—	2	2	no	—
1134	C₂²×D₅₃	—	2	2	no	—
1135	C₂²×D₅₃	—	2	2	no	—
1136	C₂²×D₅₃	—	2	2	no	—
1137	C₂²×D₅₃	—	2	2	no	—
1138	C₂²×D₅₃	—	2	2	no	—
1139	C₂²×D₅₃	—	2	2	no	—
1140	C₂²×D₅₃	—	2	2	no	—
1141	C₂²×D₅₃	—	2	2	no	—
1142	C₂²×D₅₃	—	2	4	no	—
1143	C₂²×D₅₃	—	4	1	no	—
1144	C₂²×D₅₃	—	4	1	no	—
1145	C₂²×D₅₃	—	4	1	no	—
1146	C₂²×D₅₃	—	4	1	no	—
1147	C₂²×D₅₃	—	4	1	no	—
1148	C₂²×D₅₃	—	4	1	no	—
1149	C₂²×D₅₃	—	4	1	no	—
1150	C₂²×D₅₃	—	4	2	no	—
1151	C₂²×D₅₃	—	4	2	no	—
1152	C₂²×D₅₃	—	4	16	no	—
1153	C₂²×D₅₃	C₂×#41	1	4	yes	—
1154	C₂²×D₅₃	C₂⁵	1	2	yes	—
1155	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1156	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1157	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1158	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1159	Q₈×C₅₃	—	2	2	no	—
1160	Q₈×C₅₃	—	4	4	no	—
1161	D₄×C₅₃	—	2	4	no	—
1162	D₄×C₅₃	—	2	4	no	—
1163	D₄×C₅₃	—	2	8	no	—
1164	D₄×C₅₃	—	2	2	no	—
1165	D₄×C₅₃	—	2	4	no	—
1166	D₄×C₅₃	—	2	4	no	—
1167	D₄×C₅₃	—	4	2	no	—
1168	D₄×C₅₃	—	4	4	no	—
1169	D₄×C₅₃	—	4	4	no	—
1170	D₄×C₅₃	—	4	4	no	—
1171	C₂×C₄×C₅₃	—	2	2	no	—
1172	C₂×C₄×C₅₃	—	2	4	no	—
1173	C₂×C₄×C₅₃	—	2	2	no	—
1174	C₂×C₄×C₅₃	—	2	2	no	—
1175	C₂×C₄×C₅₃	—	2	2	no	—
1176	C₂×C₄×C₅₃	—	2	2	no	—
1177	C₂×C₄×C₅₃	—	2	4	no	—
1178	C₂×C₄×C₅₃	—	4	2	no	—
1179	C₂×C₄×C₅₃	—	4	4	no	—
1180	C₂×C₄×C₅₃	—	4	2	no	—
1181	C₂×C₄×C₅₃	—	4	4	no	—
1182	C₂×C₄×C₅₃	—	4	4	no	—
1183	C₂×C₄×C₅₃	C₂×#41	1	4	yes	—
1184	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1185	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1186	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1187	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1188	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1189	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1190	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1191	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1192	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1193	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1194	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1195	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1196	C₂²⋊D₅₃	—	2	4	no	—
1197	C₂²⋊D₅₃	—	2	4	no	—
1198	C₂²⋊D₅₃	—	2	4	no	—
1199	C₂²⋊D₅₃	—	2	8	no	—
1200	C₂²⋊D₅₃	—	2	8	no	—
1201	C₂²⋊D₅₃	—	2	8	no	—
1202	C₂²⋊D₅₃	—	2	4	no	—
1203	C₂²⋊D₅₃	—	2	4	no	—
1204	C₂²⋊D₅₃	—	4	4	no	—
1205	C₂²⋊D₅₃	—	4	2	no	—
1206	C₂²⋊D₅₃	—	4	2	no	—
1207	C₂²⋊D₅₃	—	4	4	no	—
1208	C₂²⋊D₅₃	—	4	4	no	—
1209	C₂×Dic₅₃	—	2	4	no	—
1210	C₂×Dic₅₃	—	2	2	no	—
1211	C₂×Dic₅₃	—	2	4	no	—
1212	C₂×Dic₅₃	—	2	2	no	—
1213	C₂×Dic₅₃	—	2	2	no	—
1214	C₂×Dic₅₃	—	2	2	no	—
1215	C₂×Dic₅₃	—	2	2	no	—
1216	C₂×Dic₅₃	—	2	4	no	—
1217	C₂×Dic₅₃	—	2	8	no	—
1218	C₂×Dic₅₃	—	2	8	no	—
1219	C₂×Dic₅₃	—	4	2	no	—
1220	C₂×Dic₅₃	—	4	4	no	—
1221	C₂×Dic₅₃	—	4	4	no	—
1222	C₂×Dic₅₃	—	4	4	no	—
1223	C₂×Dic₅₃	—	4	2	no	—
1224	C₂×Dic₅₃	C₂×#41	1	4	yes	—
1225	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1226	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1227	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1228	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1229	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1230	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1231	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1232	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1233	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1234	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1235	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1236	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1237	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1238	D₂₁₂	—	2	4	no	—
1239	D₂₁₂	—	2	4	no	—
1240	D₂₁₂	—	2	2	no	—
1241	D₂₁₂	—	4	2	no	—
1242	C₄×D₅₃	—	2	2	no	—
1243	C₄×D₅₃	—	2	2	no	—
1244	C₄×D₅₃	—	2	2	no	—
1245	C₄×D₅₃	—	2	2	no	—
1246	C₄×D₅₃	—	2	4	no	—
1247	C₄×D₅₃	—	2	4	no	—
1248	C₄×D₅₃	—	2	4	no	—
1249	C₄×D₅₃	—	2	2	no	—
1250	C₄×D₅₃	—	2	2	no	—
1251	C₄×D₅₃	—	2	2	no	—
1252	C₄×D₅₃	—	2	2	no	—
1253	C₄×D₅₃	—	2	4	no	—
1254	C₄×D₅₃	—	2	2	no	—
1255	C₄×D₅₃	—	2	2	no	—
1256	C₄×D₅₃	—	2	2	no	—
1257	C₄×D₅₃	—	2	2	no	—
1258	C₄×D₅₃	—	2	4	no	—
1259	C₄×D₅₃	—	4	2	no	—
1260	C₄×D₅₃	—	4	2	no	—
1261	C₄×D₅₃	—	4	2	no	—
1262	C₄×D₅₃	—	4	2	no	—
1263	C₄×D₅₃	—	4	2	no	—
1264	C₄×D₅₃	—	4	2	no	—
1265	C₄×D₅₃	—	4	4	no	—
1266	C₄×D₅₃	—	4	2	no	—
1267	C₄×D₅₃	—	4	2	no	—
1268	C₄×D₅₃	—	4	4	no	—
1269	C₄×D₅₃	C₂×#41	1	4	yes	—
1270	C₄×D₅₃	C₂×#41	1	4	yes	—
1271	C₄×D₅₃	C₂×#41	1	4	yes	—
1272	C₄×D₅₃	C₂×#41	1	4	yes	—
1273	Dic₁₀₆	—	2	4	no	—
1274	Dic₁₀₆	—	2	4	no	—
1275	Dic₁₀₆	—	2	2	no	—
1276	Dic₁₀₆	—	2	4	no	—
1277	Dic₁₀₆	—	4	4	no	—
1278	Dic₁₀₆	—	4	4	no	—
1279	Dic₁₀₆	—	4	4	no	—
1280	#62814	—	53	1	no	maximal, Sylow
1281	C₂²×C₅₃	—	2	1	no	—
1282	C₂²×C₅₃	—	2	1	no	—
1283	C₂²×C₅₃	—	2	1	no	—
1284	C₂²×C₅₃	—	2	1	no	—
1285	C₂²×C₅₃	—	2	4	no	—
1286	C₂²×C₅₃	—	2	1	no	—
1287	C₂²×C₅₃	—	2	2	no	—
1288	C₂²×C₅₃	—	2	2	no	—
1289	C₂²×C₅₃	—	2	4	no	—
1290	C₂²×C₅₃	—	2	4	no	—
1291	C₂²×C₅₃	—	2	1	no	—
1292	C₂²×C₅₃	—	2	2	no	—
1293	C₂²×C₅₃	—	2	1	no	—
1294	C₂²×C₅₃	—	4	4	no	—
1295	C₂²×C₅₃	—	8	4	no	—
1296	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1297	C₂²×C₅₃	#585	1	2	yes	—
1298	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1299	C₂×D₅₃	—	2	8	no	—
1300	C₂×D₅₃	—	2	1	no	—
1301	C₂×D₅₃	—	2	1	no	—
1302	C₂×D₅₃	—	2	1	no	—
1303	C₂×D₅₃	—	2	1	no	—
1304	C₂×D₅₃	—	2	1	no	—
1305	C₂×D₅₃	—	2	1	no	—
1306	C₂×D₅₃	—	2	1	no	—
1307	C₂×D₅₃	—	2	2	no	—
1308	C₂×D₅₃	—	2	2	no	—
1309	C₂×D₅₃	—	2	2	no	—
1310	C₂×D₅₃	—	2	1	no	—
1311	C₂×D₅₃	—	2	1	no	—
1312	C₂×D₅₃	—	4	4	no	—
1313	C₂×D₅₃	—	4	4	no	—
1314	C₂×D₅₃	—	4	4	no	—
1315	C₂×D₅₃	—	4	4	no	—
1316	C₂×D₅₃	—	4	4	no	—
1317	C₂×D₅₃	—	8	4	no	—
1318	C₂×D₅₃	C₂²×#41	1	2	yes	—
1319	C₂×D₅₃	C₂²×#41	1	2	yes	—
1320	C₂×D₅₃	#585	1	2	yes	—
1321	C₄×C₅₃	—	2	2	no	—
1322	C₄×C₅₃	—	2	1	no	—
1323	C₄×C₅₃	—	2	1	no	—
1324	C₄×C₅₃	—	2	2	no	—
1325	C₄×C₅₃	—	2	2	no	—
1326	C₄×C₅₃	—	2	4	no	—
1327	C₄×C₅₃	—	2	2	no	—
1328	C₄×C₅₃	—	2	2	no	—
1329	C₄×C₅₃	—	2	2	no	—
1330	C₄×C₅₃	—	2	2	no	—
1331	C₄×C₅₃	C₂²×#41	1	2	yes	—
1332	C₄×C₅₃	C₂²×#41	1	2	yes	—
1333	Dic₅₃	—	2	2	no	—
1334	Dic₅₃	—	2	4	no	—
1335	Dic₅₃	—	2	1	no	—
1336	Dic₅₃	—	2	1	no	—
1337	Dic₅₃	—	2	2	no	—
1338	Dic₅₃	—	2	2	no	—
1339	Dic₅₃	—	2	4	no	—
1340	Dic₅₃	—	2	2	no	—
1341	Dic₅₃	—	2	2	no	—
1342	Dic₅₃	—	2	2	no	—
1343	Dic₅₃	—	2	2	no	—
1344	Dic₅₃	C₂²×#41	1	2	yes	—
1345	Dic₅₃	C₂²×#41	1	2	yes	—
1346	#3495	—	53	1	no	—
1347	#3495	—	53	2	no	—
1348	#3495	—	53	2	no	—
1349	#3495	—	53	1	no	—
1350	#3495	—	53	1	no	—
1351	#3495	—	53	1	no	—
1352	#3494	—	53	2	no	—
1353	#3494	—	53	1	no	—
1354	#3494	—	53	2	no	—
1355	#3494	—	53	1	no	—
1356	#3494	—	53	1	no	—
1357	#3494	D₅₃	1	1	yes	characteristic, complemented
1358	#3493	—	53	2	no	—
1359	#3493	—	53	2	no	—
1360	#3492	—	53	2	no	—
1361	#3492	—	53	2	no	—
1362	#3491	—	53	4	no	—
1363	#3490	—	53	4	no	—
1364	#3475	—	53	2	no	—
1365	#3475	—	53	2	no	—
1366	#3475	—	53	2	no	—
1367	#3475	—	53	4	no	—
1368	#3475	—	53	2	no	—
1369	#3475	—	53	4	no	—
1370	#3458	—	53	1	no	—
1371	#3455	—	53	2	no	—
1372	#3455	—	53	2	no	—
1373	#3449	—	53	1	no	—
1374	#3444	—	53	2	no	—
1375	#3444	—	53	2	no	—
1376	C₂×#525	—	53	1	no	—
1377	C₂×#525	—	53	1	no	—
1378	#3428	—	53	1	no	—
1379	#3428	—	53	1	no	—
1380	C₂²×#117	—	53	1	no	—
1381	C₂×C₅₃	—	2	2	no	—
1382	C₂×C₅₃	—	2	2	no	—
1383	C₂×C₅₃	—	4	1	no	—
1384	C₂×C₅₃	—	4	2	no	—
1385	C₂×C₅₃	—	4	4	no	—
1386	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1387	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1388	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1389	D₅₃	—	2	2	no	—
1390	D₅₃	—	2	2	no	—
1391	D₅₃	—	2	2	no	—
1392	D₅₃	—	4	1	no	—
1393	D₅₃	—	4	2	no	—
1394	C₂²×#41	—	53	1	no	—
1395	C₂²×#41	—	53	1	no	—
1396	C₂⁴×C₄	—	53	1	no	—
1397	#556	—	53	2	no	—
1398	#556	—	53	4	no	—
1399	#556	—	53	4	no	—
1400	#556	—	53	2	no	—
1401	#556	—	53	2	no	—
1402	#556	—	53	2	no	—
1403	#555	—	53	4	no	—
1404	#555	—	53	2	no	—
1405	#555	—	53	4	no	—
1406	#555	—	53	2	no	—
1407	#555	—	53	2	no	—
1408	#555	C₂×D₅₃	1	2	yes	complemented
1409	#554	—	53	2	no	—
1410	#554	—	53	4	no	—
1411	#554	—	53	2	no	—
1412	#554	—	53	4	no	—
1413	#554	—	53	2	no	—
1414	#554	—	53	2	no	—
1415	#553	—	53	4	no	—
1416	#553	—	53	4	no	—
1417	#553	—	53	4	no	—
1418	#553	—	53	2	no	—
1419	#553	—	53	2	no	—
1420	#553	—	53	2	no	—
1421	#553	—	53	2	no	—
1422	#553	—	53	4	no	—
1423	#553	—	53	2	no	—
1424	#553	—	53	2	no	—
1425	#553	C₂×D₅₃	1	2	yes	complemented
1426	#553	C₂×D₅₃	1	2	yes	complemented
1427	#552	—	53	4	no	—
1428	#552	—	53	4	no	—
1429	#552	—	53	4	no	—
1430	#552	—	53	2	no	—
1431	#552	—	53	2	no	—
1432	#552	—	53	4	no	—
1433	#552	—	53	4	no	—
1434	#552	—	53	4	no	—
1435	#552	—	53	4	no	—
1436	#552	—	53	4	no	—
1437	#552	—	53	4	no	—
1438	#552	—	53	2	no	—
1439	#552	—	53	2	no	—
1440	#552	—	53	4	no	—
1441	#552	—	53	2	no	—
1442	#552	—	53	4	no	—
1443	#552	—	53	4	no	—
1444	#552	—	53	2	no	—
1445	#552	—	53	2	no	—
1446	#552	—	53	2	no	—
1447	#551	—	53	4	no	—
1448	#551	—	53	4	no	—
1449	#551	—	53	4	no	—
1450	#551	—	53	4	no	—
1451	#551	—	53	4	no	—
1452	#551	—	53	4	no	—
1453	#551	—	53	4	no	—
1454	#551	—	53	4	no	—
1455	#551	—	53	4	no	—
1456	#551	—	53	4	no	—
1457	#551	—	53	4	no	—
1458	#551	—	53	4	no	—
1459	#551	—	53	4	no	—
1460	#551	—	53	4	no	—
1461	#551	—	53	4	no	—
1462	#551	C₂×D₅₃	1	4	yes	complemented
1463	#547	—	53	4	no	—
1464	#547	—	53	4	no	—
1465	#547	—	53	2	no	—
1466	#547	—	53	2	no	—
1467	#547	—	53	2	no	—
1468	#547	C₂×D₅₃	1	2	yes	complemented
1469	#546	—	53	4	no	—
1470	#546	—	53	4	no	—
1471	#546	—	53	4	no	—
1472	#546	—	53	4	no	—
1473	#546	—	53	4	no	—
1474	#546	—	53	4	no	—
1475	#546	—	53	4	no	—
1476	#546	C₂×D₅₃	1	4	yes	complemented
1477	#544	—	53	2	no	—
1478	#544	—	53	2	no	—
1479	#544	—	53	2	no	—
1480	#544	—	53	2	no	—
1481	#544	—	53	1	no	—
1482	#544	—	53	1	no	—
1483	#544	—	53	1	no	—
1484	#544	C₂×D₅₃	1	1	yes	characteristic, complemented
1485	#543	—	53	4	no	—
1486	#542	—	53	2	no	—
1487	#542	—	53	2	no	—
1488	#542	—	53	2	no	—
1489	#542	—	53	2	no	—
1490	#542	—	53	2	no	—
1491	#542	—	53	2	no	—
1492	#542	—	53	2	no	—
1493	#542	C₂×D₅₃	1	2	yes	complemented
1494	#541	—	53	2	no	—
1495	#541	—	53	2	no	—
1496	#541	—	53	2	no	—
1497	#541	—	53	2	no	—
1498	#540	—	53	2	no	—
1499	#540	—	53	2	no	—
1500	#540	—	53	2	no	—
1501	#540	C₂×D₅₃	1	2	yes	complemented
1502	#539	—	53	4	no	—
1503	#539	—	53	4	no	—
1504	#539	—	53	4	no	—
1505	#539	—	53	4	no	—
1506	#538	—	53	4	no	—
1507	#538	—	53	4	no	—
1508	#538	—	53	4	no	—
1509	#538	—	53	4	no	—
1510	#537	—	53	2	no	—
1511	#537	—	53	2	no	—
1512	#536	—	53	1	no	—
1513	#536	—	53	2	no	—
1514	#536	—	53	1	no	—
1515	#535	—	53	1	no	—
1516	#535	—	53	2	no	—
1517	#535	C₂×D₅₃	1	1	yes	characteristic, complemented
1518	#534	—	53	4	no	—
1519	#533	—	53	2	no	—
1520	#533	—	53	2	no	—
1521	#533	—	53	2	no	—
1522	#533	—	53	2	no	—
1523	#533	—	53	2	no	—
1524	#533	—	53	2	no	—
1525	#533	—	53	4	no	—
1526	#533	—	53	2	no	—
1527	#533	—	53	2	no	—
1528	#532	—	53	2	no	—
1529	#532	—	53	2	no	—
1530	#532	—	53	2	no	—
1531	#532	—	53	2	no	—
1532	#532	—	53	2	no	—
1533	#532	C₂×D₅₃	1	2	yes	complemented
1534	#529	—	53	4	no	—
1535	#529	—	53	4	no	—
1536	#529	—	53	4	no	—
1537	#529	—	53	2	no	—
1538	#529	—	53	4	no	—
1539	#529	—	53	4	no	—
1540	#529	—	53	4	no	—
1541	#529	—	53	2	no	—
1542	#529	—	53	4	no	—
1543	#529	—	53	4	no	—
1544	#529	—	53	4	no	—
1545	#529	—	53	4	no	—
1546	#529	—	53	4	no	—
1547	#529	—	53	4	no	—
1548	#529	—	53	2	no	—
1549	#529	—	53	2	no	—
1550	#529	—	53	4	no	—
1551	#529	—	53	4	no	—
1552	#529	—	53	4	no	—
1553	#529	—	53	2	no	—
1554	#529	—	53	2	no	—
1555	#529	—	53	4	no	—
1556	#529	—	53	2	no	—
1557	#529	C₂×D₅₃	1	2	yes	complemented
1558	#525	—	53	1	no	—
1559	#525	—	53	4	no	—
1560	#525	—	53	1	no	—
1561	#525	—	53	2	no	—
1562	#525	—	53	4	no	—
1563	#525	—	53	1	no	—
1564	#525	—	53	1	no	—
1565	#525	—	53	1	no	—
1566	#525	—	53	2	no	—
1567	#525	—	53	2	no	—
1568	#525	—	53	2	no	—
1569	#525	—	53	2	no	—
1570	#525	—	53	2	no	—
1571	#525	—	53	1	no	—
1572	#525	—	53	2	no	—
1573	#525	—	53	2	no	—
1574	#525	—	53	2	no	—
1575	#525	—	53	4	no	—
1576	#525	—	53	2	no	—
1577	#525	—	53	2	no	—
1578	#525	—	53	2	no	—
1579	#525	—	53	4	no	—
1580	#525	—	53	2	no	—
1581	#525	—	53	2	no	—
1582	#525	—	53	4	no	—
1583	#525	—	53	1	no	—
1584	#525	C₂×D₅₃	1	1	yes	characteristic
1585	C₂×#123	—	53	2	no	—
1586	C₂×#123	—	53	2	no	—
1587	C₂×C₂²⋊Q₈	—	53	1	no	—
1588	C₂×C₂²⋊Q₈	—	53	1	no	—
1589	C₂×C₂²⋊Q₈	—	53	1	no	—
1590	C₂×C₂²⋊Q₈	—	53	1	no	—
1591	C₂×#121	—	53	1	no	—
1592	C₂×#121	—	53	1	no	—
1593	C₂×#121	—	53	1	no	—
1594	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1595	C₂×#120	—	53	2	no	—
1596	C₂×#120	—	53	2	no	—
1597	#520	—	53	1	no	—
1598	#520	—	53	2	no	—
1599	#520	—	53	2	no	—
1600	#520	—	53	2	no	—
1601	#520	—	53	2	no	—
1602	#520	—	53	1	no	—
1603	#520	—	53	2	no	—
1604	#520	—	53	1	no	—
1605	#520	—	53	2	no	—
1606	#520	C₂×D₅₃	1	1	yes	characteristic, complemented
1607	#519	—	53	2	no	—
1608	#519	—	53	1	no	—
1609	#519	—	53	1	no	—
1610	#518	—	53	1	no	—
1611	#518	—	53	4	no	—
1612	#518	—	53	2	no	—
1613	#518	—	53	4	no	—
1614	#518	C₂×D₅₃	1	1	yes	characteristic, complemented
1615	C₄×#41	—	53	4	no	—
1616	C₄×#41	—	53	2	no	—
1617	C₄×#41	—	53	4	no	—
1618	C₄×#41	—	53	4	no	—
1619	C₄×#41	—	53	2	no	—
1620	C₄×#41	—	53	2	no	—
1621	C₄×#41	—	53	2	no	—
1622	C₄×#41	—	53	2	no	—
1623	C₄×#41	—	53	2	no	—
1624	C₄×#41	—	53	4	no	—
1625	C₄×#41	—	53	4	no	—
1626	C₂×C₄×D₄	—	53	2	no	—
1627	C₂×C₄×D₄	—	53	2	no	—
1628	C₂×C₄×D₄	—	53	2	no	—
1629	C₂×C₄×D₄	—	53	2	no	—
1630	C₂×#117	—	53	1	no	—
1631	C₂×#117	—	53	1	no	—
1632	C₂×#117	—	53	1	no	—
1633	C₂×#117	—	53	2	no	—
1634	C₂×#117	—	53	1	no	—
1635	C₂×#117	—	53	2	no	—
1636	C₂×#117	—	53	2	no	—
1637	C₂×#117	—	53	1	no	—
1638	C₂×#117	—	53	1	no	—
1639	C₂×#117	—	53	1	no	—
1640	C₂×#117	—	53	1	no	—
1641	C₂×#117	—	53	1	no	—
1642	C₂×#117	—	53	1	no	—
1643	C₂×#117	—	53	2	no	—
1644	C₂×#117	—	53	2	no	—
1645	C₂×#117	—	53	1	no	—
1646	C₂×#117	—	53	1	no	—
1647	C₂×#117	—	53	1	no	—
1648	C₂×#117	—	53	2	no	—
1649	C₂×#117	—	53	2	no	—
1650	C₂×#117	—	53	4	no	—
1651	C₂×#117	—	53	2	no	—
1652	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1653	C₂²×C₄⋊C₄	—	53	1	no	—
1654	C₂²×C₄⋊C₄	—	53	1	no	—
1655	C₂²×C₂²⋊C₄	—	53	2	no	—
1656	C₂²×C₄²	—	53	2	no	—
1657	C₅₃	#62814	1	1	yes	characteristic, complemented, Sylow
1658	C₂⁵	—	53	1	no	—
1659	C₂×#41	—	53	1	no	—
1660	C₂×#41	—	53	2	no	—
1661	C₂×#41	—	53	2	no	—
1662	C₂×#41	—	53	1	no	—
1663	C₂×#41	—	53	2	no	—
1664	C₂×#41	—	53	2	no	—
1665	C₂×#41	—	53	2	no	—
1666	C₂×#41	—	53	4	no	—
1667	C₂×#41	—	53	4	no	—
1668	C₂×#41	—	53	1	no	—
1669	C₂×#41	—	53	2	no	—
1670	C₂×#41	—	53	4	no	—
1671	C₂×#41	—	106	8	no	—
1672	C₂×#41	—	106	8	no	—
1673	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1674	C₂×#41	C₂²×D₅₃	1	4	yes	—
1675	C₂²×Q₈	—	53	1	no	—
1676	C₂²×Q₈	—	53	1	no	—
1677	C₂²×D₄	—	53	2	no	—
1678	C₂²×D₄	—	53	2	no	—
1679	C₂²×D₄	—	53	2	no	—
1680	C₂²×D₄	—	53	1	no	—
1681	C₂²×D₄	—	53	2	no	—
1682	C₂²×D₄	—	53	2	no	—
1683	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1684	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1685	C₂³×C₄	—	53	1	no	—
1686	C₂³×C₄	—	53	1	no	—
1687	C₂³×C₄	—	53	2	no	—
1688	C₂³×C₄	—	53	1	no	—
1689	C₂³×C₄	—	53	1	no	—
1690	C₂³×C₄	—	53	1	no	—
1691	C₂³×C₄	—	53	1	no	—
1692	C₂³×C₄	—	53	2	no	—
1693	C₂³×C₄	—	53	1	no	—
1694	C₂³×C₄	—	53	1	no	—
1695	C₂³×C₄	—	53	1	no	—
1696	C₂³×C₄	—	53	1	no	—
1697	C₂³×C₄	—	53	1	no	—
1698	C₂³×C₄	—	53	1	no	—
1699	C₂³×C₄	—	53	1	no	—
1700	C₂³×C₄	—	53	2	no	—
1701	C₂³×C₄	—	53	2	no	—
1702	C₂³×C₄	—	106	8	no	—
1703	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1704	C₄⋊Q₈	—	53	2	no	—
1705	C₄⋊Q₈	—	53	4	no	—
1706	C₄⋊Q₈	—	53	2	no	—
1707	C₄⋊Q₈	—	53	2	no	—
1708	C₄⋊Q₈	—	53	4	no	—
1709	C₄⋊Q₈	—	53	2	no	—
1710	C₄⋊Q₈	—	53	2	no	—
1711	C₄⋊Q₈	—	53	2	no	—
1712	C₄⋊Q₈	—	53	2	no	—
1713	C₄⋊Q₈	—	53	2	no	—
1714	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1715	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1716	#127	—	53	2	no	—
1717	#127	C₂²×D₅₃	1	2	yes	complemented
1718	#126	—	53	4	no	—
1719	#126	—	53	4	no	—
1720	#126	—	53	4	no	—
1721	#126	—	53	4	no	—
1722	#126	—	53	4	no	—
1723	#126	—	53	4	no	—
1724	#126	—	53	4	no	—
1725	#126	—	53	4	no	—
1726	#126	—	53	4	no	—
1727	#126	—	53	4	no	—
1728	#126	—	53	4	no	—
1729	#126	—	53	4	no	—
1730	#126	—	53	4	no	—
1731	#126	—	53	4	no	—
1732	#126	—	53	4	no	—
1733	#126	—	53	4	no	—
1734	#126	—	53	4	no	—
1735	#126	—	53	4	no	—
1736	#126	—	53	4	no	—
1737	#126	—	53	4	no	—
1738	#126	—	53	4	no	—
1739	#126	—	53	4	no	—
1740	#126	C₂²×D₅₃	1	4	yes	complemented
1741	#126	C₂²×D₅₃	1	4	yes	complemented
1742	#125	—	53	2	no	—
1743	#125	—	53	2	no	—
1744	#125	—	53	4	no	—
1745	#125	—	53	4	no	—
1746	#125	—	53	4	no	—
1747	#125	—	53	4	no	—
1748	#125	—	53	4	no	—
1749	#125	—	53	4	no	—
1750	#125	—	53	4	no	—
1751	#125	—	53	4	no	—
1752	#125	—	53	4	no	—
1753	#125	—	53	4	no	—
1754	#125	—	53	4	no	—
1755	#125	—	53	4	no	—
1756	#125	—	53	2	no	—
1757	#125	—	53	2	no	—
1758	#125	—	53	2	no	—
1759	#125	—	53	4	no	—
1760	#125	—	53	4	no	—
1761	#125	—	53	2	no	—
1762	#125	C₂²×D₅₃	1	2	yes	complemented
1763	#125	C₂²×D₅₃	1	2	yes	complemented
1764	#124	—	53	4	no	—
1765	#124	—	53	2	no	—
1766	#124	—	53	2	no	—
1767	#124	—	53	4	no	—
1768	#124	—	53	4	no	—
1769	#124	—	53	4	no	—
1770	#124	—	53	4	no	—
1771	#124	—	53	4	no	—
1772	#124	—	53	4	no	—
1773	#124	—	53	4	no	—
1774	#124	—	53	4	no	—
1775	#124	—	53	4	no	—
1776	#124	—	53	2	no	—
1777	#124	C₂²×D₅₃	1	4	yes	—
1778	#124	C₂²×D₅₃	1	4	yes	complemented
1779	#124	C₂²×D₅₃	1	2	yes	complemented
1780	#123	—	53	2	no	—
1781	#123	—	53	4	no	—
1782	#123	—	53	4	no	—
1783	#123	—	53	4	no	—
1784	#123	—	53	4	no	—
1785	#123	—	53	4	no	—
1786	#123	—	53	4	no	—
1787	#123	—	53	4	no	—
1788	#123	—	53	2	no	—
1789	#123	—	53	4	no	—
1790	#123	—	53	4	no	—
1791	#123	—	53	4	no	—
1792	#123	—	53	4	no	—
1793	#123	—	53	2	no	—
1794	#123	—	53	2	no	—
1795	#123	—	53	4	no	—
1796	#123	—	53	4	no	—
1797	#123	—	53	2	no	—
1798	#123	—	53	4	no	—
1799	#123	—	53	2	no	—
1800	#123	—	53	4	no	—
1801	#123	—	53	4	no	—
1802	#123	—	53	4	no	—
1803	#123	—	53	2	no	—
1804	#123	—	53	4	no	—
1805	#123	—	53	4	no	—
1806	#123	—	53	4	no	—
1807	#123	—	53	4	no	—
1808	#123	—	53	4	no	—
1809	#123	—	53	4	no	—
1810	#123	—	53	4	no	—
1811	#123	—	53	4	no	—
1812	#123	—	53	4	no	—
1813	#123	—	53	4	no	—
1814	#123	—	53	4	no	—
1815	#123	C₂²×D₅₃	1	2	yes	—
1816	#123	C₂²×D₅₃	1	4	yes	—
1817	#123	C₂²×D₅₃	1	4	yes	—
1818	#123	C₂²×D₅₃	1	4	yes	complemented
1819	#123	C₂²×D₅₃	1	4	yes	complemented
1820	C₂²⋊Q₈	—	53	1	no	—
1821	C₂²⋊Q₈	—	53	1	no	—
1822	C₂²⋊Q₈	—	53	4	no	—
1823	C₂²⋊Q₈	—	53	4	no	—
1824	C₂²⋊Q₈	—	53	4	no	—
1825	C₂²⋊Q₈	—	53	4	no	—
1826	C₂²⋊Q₈	—	53	2	no	—
1827	C₂²⋊Q₈	—	53	1	no	—
1828	C₂²⋊Q₈	—	53	2	no	—
1829	C₂²⋊Q₈	—	53	1	no	—
1830	C₂²⋊Q₈	—	53	2	no	—
1831	C₂²⋊Q₈	—	53	2	no	—
1832	C₂²⋊Q₈	—	53	4	no	—
1833	C₂²⋊Q₈	—	53	2	no	—
1834	C₂²⋊Q₈	—	53	2	no	—
1835	C₂²⋊Q₈	—	53	4	no	—
1836	C₂²⋊Q₈	—	53	4	no	—
1837	C₂²⋊Q₈	—	53	4	no	—
1838	C₂²⋊Q₈	—	53	1	no	—
1839	C₂²⋊Q₈	—	53	2	no	—
1840	C₂²⋊Q₈	—	53	1	no	—
1841	C₂²⋊Q₈	—	53	2	no	—
1842	C₂²⋊Q₈	—	53	2	no	—
1843	C₂²⋊Q₈	—	53	2	no	—
1844	C₂²⋊Q₈	—	53	2	no	—
1845	C₂²⋊Q₈	—	53	2	no	—
1846	C₂²⋊Q₈	—	53	4	no	—
1847	C₂²⋊Q₈	—	53	4	no	—
1848	C₂²⋊Q₈	—	53	4	no	—
1849	C₂²⋊Q₈	—	53	4	no	—
1850	C₂²⋊Q₈	—	53	2	no	—
1851	C₂²⋊Q₈	—	53	2	no	—
1852	C₂²⋊Q₈	—	53	4	no	—
1853	C₂²⋊Q₈	—	53	4	no	—
1854	C₂²⋊Q₈	—	53	4	no	—
1855	C₂²⋊Q₈	—	53	4	no	—
1856	C₂²⋊Q₈	—	53	2	no	—
1857	C₂²⋊Q₈	—	53	2	no	—
1858	C₂²⋊Q₈	—	53	4	no	—
1859	C₂²⋊Q₈	—	53	4	no	—
1860	C₂²⋊Q₈	—	53	4	no	—
1861	C₂²⋊Q₈	—	53	4	no	—
1862	C₂²⋊Q₈	—	53	4	no	—
1863	C₂²⋊Q₈	—	53	4	no	—
1864	C₂²⋊Q₈	—	53	4	no	—
1865	C₂²⋊Q₈	—	53	4	no	—
1866	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1867	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1868	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1869	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1870	#121	—	53	1	no	—
1871	#121	—	53	2	no	—
1872	#121	—	53	1	no	—
1873	#121	—	53	2	no	—
1874	#121	—	53	2	no	—
1875	#121	—	53	2	no	—
1876	#121	—	53	2	no	—
1877	#121	—	53	2	no	—
1878	#121	—	53	4	no	—
1879	#121	—	53	4	no	—
1880	#121	—	53	4	no	—
1881	#121	—	53	4	no	—
1882	#121	—	53	2	no	—
1883	#121	—	53	2	no	—
1884	#121	—	53	4	no	—
1885	#121	—	53	4	no	—
1886	#121	—	53	4	no	—
1887	#121	—	53	4	no	—
1888	#121	—	53	4	no	—
1889	#121	—	53	4	no	—
1890	#121	—	53	1	no	—
1891	#121	—	53	1	no	—
1892	#121	—	53	4	no	—
1893	#121	—	53	1	no	—
1894	#121	—	53	1	no	—
1895	#121	—	53	2	no	—
1896	#121	—	53	2	no	—
1897	#121	—	53	4	no	—
1898	#121	—	53	4	no	—
1899	#121	—	53	4	no	—
1900	#121	—	53	4	no	—
1901	#121	C₂²×D₅₃	1	1	yes	characteristic
1902	#121	C₂²×D₅₃	1	1	yes	characteristic
1903	#121	C₂²×D₅₃	1	2	yes	—
1904	#121	C₂²×D₅₃	1	2	yes	—
1905	#121	C₂²×D₅₃	1	2	yes	—
1906	#121	C₂²×D₅₃	1	2	yes	—
1907	#121	C₂²×D₅₃	1	4	yes	—
1908	#121	C₂²×D₅₃	1	4	yes	—
1909	#121	C₂²×D₅₃	1	4	yes	—
1910	#121	C₂²×D₅₃	1	2	yes	complemented
1911	#121	C₂²×D₅₃	1	2	yes	complemented
1912	#120	—	53	2	no	—
1913	#120	—	53	4	no	—
1914	#120	—	53	4	no	—
1915	#120	—	53	2	no	—
1916	#120	—	53	4	no	—
1917	#120	—	53	2	no	—
1918	#120	—	53	2	no	—
1919	#120	—	53	4	no	—
1920	#120	—	53	4	no	—
1921	#120	—	53	4	no	—
1922	#120	—	53	4	no	—
1923	#120	—	53	2	no	—
1924	#120	—	53	2	no	—
1925	#120	—	53	2	no	—
1926	#120	C₂²×D₅₃	1	2	yes	—
1927	#120	C₂²×D₅₃	1	4	yes	—
1928	C₄×Q₈	—	53	2	no	—
1929	C₄×Q₈	—	53	4	no	—
1930	C₄×Q₈	—	53	4	no	—
1931	C₄×Q₈	—	53	2	no	—
1932	C₄×Q₈	—	53	2	no	—
1933	C₄×Q₈	—	53	2	no	—
1934	C₄×Q₈	—	53	4	no	—
1935	C₄×Q₈	—	53	2	no	—
1936	C₄×Q₈	—	53	2	no	—
1937	C₄×Q₈	—	53	4	no	—
1938	C₄×Q₈	—	53	4	no	—
1939	C₄×Q₈	—	53	4	no	—
1940	C₄×Q₈	—	53	4	no	—
1941	C₄×Q₈	—	53	2	no	—
1942	C₄×Q₈	—	53	2	no	—
1943	C₄×Q₈	—	53	2	no	—
1944	C₄×Q₈	—	53	2	no	—
1945	C₄×Q₈	—	53	2	no	—
1946	C₄×Q₈	—	53	4	no	—
1947	C₄×Q₈	—	53	4	no	—
1948	C₄×Q₈	—	53	4	no	—
1949	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1950	C₄×D₄	—	53	4	no	—
1951	C₄×D₄	—	53	2	no	—
1952	C₄×D₄	—	53	4	no	—
1953	C₄×D₄	—	53	2	no	—
1954	C₄×D₄	—	53	4	no	—
1955	C₄×D₄	—	53	4	no	—
1956	C₄×D₄	—	53	2	no	—
1957	C₄×D₄	—	53	2	no	—
1958	C₄×D₄	—	53	2	no	—
1959	C₄×D₄	—	53	4	no	—
1960	C₄×D₄	—	53	2	no	—
1961	C₄×D₄	—	53	2	no	—
1962	C₄×D₄	—	53	4	no	—
1963	C₄×D₄	—	53	4	no	—
1964	C₄×D₄	—	53	4	no	—
1965	C₄×D₄	—	53	4	no	—
1966	C₄×D₄	—	53	4	no	—
1967	C₄×D₄	—	53	2	no	—
1968	C₄×D₄	—	53	2	no	—
1969	C₄×D₄	—	53	2	no	—
1970	C₄×D₄	—	53	2	no	—
1971	C₄×D₄	—	53	4	no	—
1972	C₄×D₄	—	53	4	no	—
1973	C₄×D₄	—	53	4	no	—
1974	C₄×D₄	—	53	4	no	—
1975	C₄×D₄	—	53	4	no	—
1976	C₄×D₄	—	53	4	no	—
1977	C₄×D₄	—	53	4	no	—
1978	C₄×D₄	—	53	4	no	—
1979	C₄×D₄	—	53	4	no	—
1980	C₄×D₄	—	53	4	no	—
1981	C₄×D₄	—	53	4	no	—
1982	C₄×D₄	—	53	2	no	—
1983	C₄×D₄	—	53	2	no	—
1984	C₄×D₄	—	53	4	no	—
1985	C₄×D₄	—	53	2	no	—
1986	C₄×D₄	—	53	4	no	—
1987	C₄×D₄	—	53	2	no	—
1988	C₄×D₄	—	53	4	no	—
1989	C₄×D₄	—	53	2	no	—
1990	C₄×D₄	—	53	2	no	—
1991	C₄×D₄	—	53	4	no	—
1992	C₄×D₄	—	53	2	no	—
1993	C₄×D₄	—	53	4	no	—
1994	C₄×D₄	—	53	4	no	—
1995	C₄×D₄	—	53	4	no	—
1996	C₄×D₄	—	53	4	no	—
1997	C₄×D₄	—	53	4	no	—
1998	C₄×D₄	—	53	4	no	—
1999	C₄×D₄	—	53	4	no	—
2000	C₄×D₄	—	53	4	no	—
2001	C₄×D₄	—	53	4	no	—
2002	C₄×D₄	—	53	4	no	—
2003	C₄×D₄	—	53	4	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	C₂²×D₅₃	1	2	yes	—
2011	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2012	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2013	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2014	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2015	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2016	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2017	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2018	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2019	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2020	#117	—	53	1	no	—
2021	#117	—	53	1	no	—
2022	#117	—	53	2	no	—
2023	#117	—	53	2	no	—
2024	#117	—	53	1	no	—
2025	#117	—	53	1	no	—
2026	#117	—	53	1	no	—
2027	#117	—	53	2	no	—
2028	#117	—	53	4	no	—
2029	#117	—	53	4	no	—
2030	#117	—	53	4	no	—
2031	#117	—	53	1	no	—
2032	#117	—	53	1	no	—
2033	#117	—	53	1	no	—
2034	#117	—	53	1	no	—
2035	#117	—	53	2	no	—
2036	#117	—	53	2	no	—
2037	#117	—	53	2	no	—
2038	#117	—	53	2	no	—
2039	#117	—	53	2	no	—
2040	#117	—	53	1	no	—
2041	#117	—	53	1	no	—
2042	#117	—	53	1	no	—
2043	#117	—	53	1	no	—
2044	#117	—	53	1	no	—
2045	#117	—	53	1	no	—
2046	#117	—	53	2	no	—
2047	#117	—	53	4	no	—
2048	#117	—	53	2	no	—
2049	#117	—	53	4	no	—
2050	#117	—	53	2	no	—
2051	#117	—	53	2	no	—
2052	#117	—	53	2	no	—
2053	#117	—	53	4	no	—
2054	#117	—	53	4	no	—
2055	#117	—	53	2	no	—
2056	#117	—	53	2	no	—
2057	#117	—	53	2	no	—
2058	#117	—	53	2	no	—
2059	#117	—	53	2	no	—
2060	#117	—	53	2	no	—
2061	#117	—	53	2	no	—
2062	#117	—	53	2	no	—
2063	#117	—	53	2	no	—
2064	#117	—	53	4	no	—
2065	#117	—	53	4	no	—
2066	#117	—	53	4	no	—
2067	#117	—	53	4	no	—
2068	#117	—	53	4	no	—
2069	#117	—	53	4	no	—
2070	#117	—	53	4	no	—
2071	#117	—	53	4	no	—
2072	#117	—	53	4	no	—
2073	#117	—	53	4	no	—
2074	#117	—	53	4	no	—
2075	#117	—	53	2	no	—
2076	#117	—	53	2	no	—
2077	#117	—	53	2	no	—
2078	#117	—	53	2	no	—
2079	#117	—	53	2	no	—
2080	#117	—	53	2	no	—
2081	#117	—	53	2	no	—
2082	#117	—	53	2	no	—
2083	#117	—	53	4	no	—
2084	#117	—	53	2	no	—
2085	#117	—	53	4	no	—
2086	#117	—	53	4	no	—
2087	#117	C₂²×D₅₃	1	1	yes	characteristic
2088	#117	C₂²×D₅₃	1	1	yes	characteristic
2089	#117	C₂²×D₅₃	1	2	yes	—
2090	#117	C₂²×D₅₃	1	2	yes	—
2091	#117	C₂²×D₅₃	1	1	yes	characteristic
2092	#117	C₂²×D₅₃	1	1	yes	characteristic
2093	#117	C₂²×D₅₃	1	1	yes	characteristic
2094	#117	C₂²×D₅₃	1	2	yes	complemented
2095	#117	C₂²×D₅₃	1	4	yes	complemented
2096	C₂×C₄⋊C₄	—	53	2	no	—
2097	C₂×C₄⋊C₄	—	53	1	no	—
2098	C₂×C₄⋊C₄	—	53	2	no	—
2099	C₂×C₄⋊C₄	—	53	1	no	—
2100	C₂×C₄⋊C₄	—	53	1	no	—
2101	C₂×C₄⋊C₄	—	53	4	no	—
2102	C₂×C₄⋊C₄	—	53	4	no	—
2103	C₂×C₄⋊C₄	—	53	2	no	—
2104	C₂×C₄⋊C₄	—	53	2	no	—
2105	C₂×C₄⋊C₄	—	53	2	no	—
2106	C₂×C₄⋊C₄	—	53	1	no	—
2107	C₂×C₄⋊C₄	—	53	1	no	—
2108	C₂×C₄⋊C₄	—	53	1	no	—
2109	C₂×C₄⋊C₄	—	53	1	no	—
2110	C₂×C₄⋊C₄	—	53	2	no	—
2111	C₂×C₄⋊C₄	—	53	2	no	—
2112	C₂×C₄⋊C₄	—	53	2	no	—
2113	C₂×C₄⋊C₄	—	53	1	no	—
2114	C₂×C₄⋊C₄	—	53	1	no	—
2115	C₂×C₄⋊C₄	—	53	2	no	—
2116	C₂×C₄⋊C₄	—	53	1	no	—
2117	C₂×C₄⋊C₄	—	53	1	no	—
2118	C₂×C₄⋊C₄	—	53	1	no	—
2119	C₂×C₄⋊C₄	—	53	1	no	—
2120	C₂×C₄⋊C₄	—	53	2	no	—
2121	C₂×C₄⋊C₄	—	53	2	no	—
2122	C₂×C₄⋊C₄	—	53	2	no	—
2123	C₂×C₄⋊C₄	—	53	2	no	—
2124	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2125	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2126	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2127	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2128	C₂×C₂²⋊C₄	—	53	2	no	—
2129	C₂×C₂²⋊C₄	—	53	4	no	—
2130	C₂×C₂²⋊C₄	—	53	2	no	—
2131	C₂×C₂²⋊C₄	—	53	2	no	—
2132	C₂×C₂²⋊C₄	—	53	2	no	—
2133	C₂×C₂²⋊C₄	—	53	2	no	—
2134	C₂×C₂²⋊C₄	—	53	2	no	—
2135	C₂×C₂²⋊C₄	—	53	4	no	—
2136	C₂×C₂²⋊C₄	—	53	2	no	—
2137	C₂×C₂²⋊C₄	—	53	2	no	—
2138	C₂×C₂²⋊C₄	—	53	2	no	—
2139	C₂×C₂²⋊C₄	—	53	2	no	—
2140	C₂×C₂²⋊C₄	—	53	2	no	—
2141	C₂×C₂²⋊C₄	—	53	2	no	—
2142	C₂×C₂²⋊C₄	—	53	2	no	—
2143	C₂×C₂²⋊C₄	—	53	2	no	—
2144	C₂×C₂²⋊C₄	—	53	2	no	—
2145	C₂×C₂²⋊C₄	—	53	2	no	—
2146	C₂×C₂²⋊C₄	—	53	4	no	—
2147	C₂×C₂²⋊C₄	—	53	2	no	—
2148	C₂×C₂²⋊C₄	—	53	2	no	—
2149	C₂×C₂²⋊C₄	—	53	2	no	—
2150	C₂×C₂²⋊C₄	—	53	2	no	—
2151	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2152	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	—
2153	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2154	C₂×C₄²	—	53	2	no	—
2155	C₂×C₄²	—	53	2	no	—
2156	C₂×C₄²	—	53	2	no	—
2157	C₂×C₄²	—	53	2	no	—
2158	C₂×C₄²	—	53	4	no	—
2159	C₂×C₄²	—	53	4	no	—
2160	C₂×C₄²	—	53	4	no	—
2161	C₂×C₄²	—	53	2	no	—
2162	C₂×C₄²	—	53	2	no	—
2163	C₂×C₄²	—	53	2	no	—
2164	C₂×C₄²	—	53	2	no	—
2165	C₂×C₄²	—	53	2	no	—
2166	C₂×C₄²	—	53	2	no	—
2167	C₂×C₄²	—	53	2	no	—
2168	C₂×C₄²	—	53	2	no	—
2169	C₂×C₄²	—	53	2	no	—
2170	C₂×C₄²	—	53	4	no	—
2171	C₂×C₄²	C₂²×D₅₃	1	2	yes	—
2172	C₂⁴	—	53	1	no	—
2173	C₂⁴	—	53	1	no	—
2174	C₂⁴	—	53	1	no	—
2175	C₂⁴	—	53	1	no	—
2176	C₂⁴	—	53	1	no	—
2177	C₂⁴	—	53	2	no	—
2178	C₂⁴	—	53	1	no	—
2179	C₂⁴	—	106	4	no	—
2180	C₂⁴	—	212	2	no	—
2181	C₂⁴	—	212	2	no	—
2182	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2183	C₂⁴	C₂³×D₅₃	1	2	yes	—
2184	#41	—	2	4	no	—
2185	#41	—	4	8	no	—
2186	#41	—	106	8	no	—
2187	#41	—	106	8	no	—
2188	#41	—	106	8	no	—
2189	#41	—	106	8	no	—
2190	#41	—	106	8	no	—
2191	#41	—	106	8	no	—
2192	#41	—	106	4	no	—
2193	#41	—	106	4	no	—
2194	#41	—	106	4	no	—
2195	#41	—	212	8	no	—
2196	#41	—	212	8	no	—
2197	#41	—	212	8	no	—
2198	C₂×Q₈	—	53	2	no	—
2199	C₂×Q₈	—	53	2	no	—
2200	C₂×Q₈	—	53	1	no	—
2201	C₂×Q₈	—	53	2	no	—
2202	C₂×Q₈	—	53	4	no	—
2203	C₂×Q₈	—	53	4	no	—
2204	C₂×Q₈	—	53	4	no	—
2205	C₂×Q₈	—	106	4	no	—
2206	C₂×Q₈	—	106	4	no	—
2207	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2208	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
2209	C₂×D₄	—	2	4	no	—
2210	C₂×D₄	—	4	4	no	—
2211	C₂×D₄	—	53	4	no	—
2212	C₂×D₄	—	53	2	no	—
2213	C₂×D₄	—	53	2	no	—
2214	C₂×D₄	—	53	4	no	—
2215	C₂×D₄	—	53	2	no	—
2216	C₂×D₄	—	53	4	no	—
2217	C₂×D₄	—	53	2	no	—
2218	C₂×D₄	—	53	2	no	—
2219	C₂×D₄	—	53	2	no	—
2220	C₂×D₄	—	53	4	no	—
2221	C₂×D₄	—	53	2	no	—
2222	C₂×D₄	—	53	4	no	—
2223	C₂×D₄	—	53	4	no	—
2224	C₂×D₄	—	53	2	no	—
2225	C₂×D₄	—	53	2	no	—
2226	C₂×D₄	—	53	1	no	—
2227	C₂×D₄	—	53	2	no	—
2228	C₂×D₄	—	106	4	no	—
2229	C₂×D₄	—	106	8	no	—
2230	C₂×D₄	—	106	8	no	—
2231	C₂×D₄	—	212	4	no	—
2232	C₂×D₄	—	212	4	no	—
2233	C₂×D₄	—	212	4	no	—
2234	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2235	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2236	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2237	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2238	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2239	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2240	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2241	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2242	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2243	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2244	C₂²×C₄	—	2	4	no	—
2245	C₂²×C₄	—	53	1	no	—
2246	C₂²×C₄	—	53	8	no	—
2247	C₂²×C₄	—	53	1	no	—
2248	C₂²×C₄	—	53	1	no	—
2249	C₂²×C₄	—	53	1	no	—
2250	C₂²×C₄	—	53	1	no	—
2251	C₂²×C₄	—	53	1	no	—
2252	C₂²×C₄	—	53	2	no	—
2253	C₂²×C₄	—	53	2	no	—
2254	C₂²×C₄	—	53	4	no	—
2255	C₂²×C₄	—	53	1	no	—
2256	C₂²×C₄	—	53	2	no	—
2257	C₂²×C₄	—	53	1	no	—
2258	C₂²×C₄	—	53	4	no	—
2259	C₂²×C₄	—	53	1	no	—
2260	C₂²×C₄	—	53	1	no	—
2261	C₂²×C₄	—	53	2	no	—
2262	C₂²×C₄	—	53	2	no	—
2263	C₂²×C₄	—	53	4	no	—
2264	C₂²×C₄	—	53	4	no	—
2265	C₂²×C₄	—	53	4	no	—
2266	C₂²×C₄	—	53	1	no	—
2267	C₂²×C₄	—	53	1	no	—
2268	C₂²×C₄	—	53	1	no	—
2269	C₂²×C₄	—	53	2	no	—
2270	C₂²×C₄	—	53	2	no	—
2271	C₂²×C₄	—	53	2	no	—
2272	C₂²×C₄	—	53	1	no	—
2273	C₂²×C₄	—	53	1	no	—
2274	C₂²×C₄	—	53	2	no	—
2275	C₂²×C₄	—	53	1	no	—
2276	C₂²×C₄	—	53	1	no	—
2277	C₂²×C₄	—	53	1	no	—
2278	C₂²×C₄	—	53	2	no	—
2279	C₂²×C₄	—	53	1	no	—
2280	C₂²×C₄	—	53	1	no	—
2281	C₂²×C₄	—	53	1	no	—
2282	C₂²×C₄	—	53	1	no	—
2283	C₂²×C₄	—	53	2	no	—
2284	C₂²×C₄	—	53	2	no	—
2285	C₂²×C₄	—	53	2	no	—
2286	C₂²×C₄	—	53	2	no	—
2287	C₂²×C₄	—	53	2	no	—
2288	C₂²×C₄	—	53	2	no	—
2289	C₂²×C₄	—	53	2	no	—
2290	C₂²×C₄	—	53	2	no	—
2291	C₂²×C₄	—	53	4	no	—
2292	C₂²×C₄	—	53	4	no	—
2293	C₂²×C₄	—	106	4	no	—
2294	C₂²×C₄	—	106	4	no	—
2295	C₂²×C₄	—	106	4	no	—
2296	C₂²×C₄	—	106	4	no	—
2297	C₂²×C₄	—	106	4	no	—
2298	C₂²×C₄	—	106	4	no	—
2299	C₂²×C₄	—	106	4	no	—
2300	C₂²×C₄	—	106	4	no	—
2301	C₂²×C₄	—	106	4	no	—
2302	C₂²×C₄	—	106	8	no	—
2303	C₂²×C₄	—	106	4	no	—
2304	C₂²×C₄	—	106	4	no	—
2305	C₂²×C₄	—	106	8	no	—
2306	C₂²×C₄	—	106	4	no	—
2307	C₂²×C₄	—	212	4	no	—
2308	C₂²×C₄	—	212	4	no	—
2309	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2310	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2311	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2312	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2313	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2314	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2315	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2316	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2317	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2318	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2319	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2320	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2321	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2322	C₄⋊C₄	—	53	2	no	—
2323	C₄⋊C₄	—	53	2	no	—
2324	C₄⋊C₄	—	53	1	no	—
2325	C₄⋊C₄	—	53	1	no	—
2326	C₄⋊C₄	—	53	2	no	—
2327	C₄⋊C₄	—	53	2	no	—
2328	C₄⋊C₄	—	53	2	no	—
2329	C₄⋊C₄	—	53	2	no	—
2330	C₄⋊C₄	—	53	1	no	—
2331	C₄⋊C₄	—	53	1	no	—
2332	C₄⋊C₄	—	53	2	no	—
2333	C₄⋊C₄	—	53	2	no	—
2334	C₄⋊C₄	—	53	2	no	—
2335	C₄⋊C₄	—	53	2	no	—
2336	C₄⋊C₄	—	53	2	no	—
2337	C₄⋊C₄	—	53	2	no	—
2338	C₄⋊C₄	—	53	2	no	—
2339	C₄⋊C₄	—	53	2	no	—
2340	C₄⋊C₄	—	53	1	no	—
2341	C₄⋊C₄	—	53	1	no	—
2342	C₄⋊C₄	—	53	4	no	—
2343	C₄⋊C₄	—	53	4	no	—
2344	C₄⋊C₄	—	53	4	no	—
2345	C₄⋊C₄	—	53	2	no	—
2346	C₄⋊C₄	—	53	4	no	—
2347	C₄⋊C₄	—	53	4	no	—
2348	C₄⋊C₄	—	53	4	no	—
2349	C₄⋊C₄	—	53	4	no	—
2350	C₄⋊C₄	—	53	2	no	—
2351	C₄⋊C₄	—	53	4	no	—
2352	C₄⋊C₄	—	53	2	no	—
2353	C₄⋊C₄	—	53	4	no	—
2354	C₄⋊C₄	—	53	4	no	—
2355	C₄⋊C₄	—	53	2	no	—
2356	C₄⋊C₄	—	53	2	no	—
2357	C₄⋊C₄	—	53	4	no	—
2358	C₄⋊C₄	—	53	2	no	—
2359	C₄⋊C₄	—	53	4	no	—
2360	C₄⋊C₄	—	53	4	no	—
2361	C₄⋊C₄	—	53	4	no	—
2362	C₄⋊C₄	—	53	4	no	—
2363	C₄⋊C₄	—	53	4	no	—
2364	C₄⋊C₄	—	53	4	no	—
2365	C₄⋊C₄	—	53	4	no	—
2366	C₄⋊C₄	—	53	4	no	—
2367	C₄⋊C₄	—	53	4	no	—
2368	C₄⋊C₄	—	53	4	no	—
2369	C₄⋊C₄	—	53	4	no	—
2370	C₄⋊C₄	—	53	4	no	—
2371	C₄⋊C₄	—	53	4	no	—
2372	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2373	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2374	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2375	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2376	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2377	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2378	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2379	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2380	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2381	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2382	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2383	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2384	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2385	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2386	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2387	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2388	C₂²⋊C₄	—	53	2	no	—
2389	C₂²⋊C₄	—	53	2	no	—
2390	C₂²⋊C₄	—	53	2	no	—
2391	C₂²⋊C₄	—	53	2	no	—
2392	C₂²⋊C₄	—	53	2	no	—
2393	C₂²⋊C₄	—	53	4	no	—
2394	C₂²⋊C₄	—	53	2	no	—
2395	C₂²⋊C₄	—	53	4	no	—
2396	C₂²⋊C₄	—	53	2	no	—
2397	C₂²⋊C₄	—	53	4	no	—
2398	C₂²⋊C₄	—	53	4	no	—
2399	C₂²⋊C₄	—	53	4	no	—
2400	C₂²⋊C₄	—	53	4	no	—
2401	C₂²⋊C₄	—	53	2	no	—
2402	C₂²⋊C₄	—	53	2	no	—
2403	C₂²⋊C₄	—	53	4	no	—
2404	C₂²⋊C₄	—	53	4	no	—
2405	C₂²⋊C₄	—	53	4	no	—
2406	C₂²⋊C₄	—	53	4	no	—
2407	C₂²⋊C₄	—	53	4	no	—
2408	C₂²⋊C₄	—	53	2	no	—
2409	C₂²⋊C₄	—	53	2	no	—
2410	C₂²⋊C₄	—	53	4	no	—
2411	C₂²⋊C₄	—	53	2	no	—
2412	C₂²⋊C₄	—	53	2	no	—
2413	C₂²⋊C₄	—	53	2	no	—
2414	C₂²⋊C₄	—	53	2	no	—
2415	C₂²⋊C₄	—	53	2	no	—
2416	C₂²⋊C₄	—	53	2	no	—
2417	C₂²⋊C₄	—	53	4	no	—
2418	C₂²⋊C₄	—	53	4	no	—
2419	C₂²⋊C₄	—	53	2	no	—
2420	C₂²⋊C₄	—	53	2	no	—
2421	C₂²⋊C₄	—	53	2	no	—
2422	C₂²⋊C₄	—	53	2	no	—
2423	C₂²⋊C₄	—	53	4	no	—
2424	C₂²⋊C₄	—	53	2	no	—
2425	C₂²⋊C₄	—	53	4	no	—
2426	C₂²⋊C₄	—	53	2	no	—
2427	C₂²⋊C₄	—	53	4	no	—
2428	C₂²⋊C₄	—	53	2	no	—
2429	C₂²⋊C₄	—	53	2	no	—
2430	C₂²⋊C₄	—	53	2	no	—
2431	C₂²⋊C₄	—	53	2	no	—
2432	C₂²⋊C₄	—	53	4	no	—
2433	C₂²⋊C₄	—	53	4	no	—
2434	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2435	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2436	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2437	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2438	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2439	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2440	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2441	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2442	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2443	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2444	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2445	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2446	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2447	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2448	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2449	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2450	C₄²	—	53	2	no	—
2451	C₄²	—	53	2	no	—
2452	C₄²	—	53	2	no	—
2453	C₄²	—	53	2	no	—
2454	C₄²	—	53	2	no	—
2455	C₄²	—	53	4	no	—
2456	C₄²	—	53	2	no	—
2457	C₄²	—	53	2	no	—
2458	C₄²	—	53	2	no	—
2459	C₄²	—	53	2	no	—
2460	C₄²	—	53	2	no	—
2461	C₄²	—	53	2	no	—
2462	C₄²	—	53	2	no	—
2463	C₄²	—	53	2	no	—
2464	C₄²	—	53	2	no	—
2465	C₄²	—	53	4	no	—
2466	C₄²	—	53	4	no	—
2467	C₄²	—	53	4	no	—
2468	C₄²	—	53	4	no	—
2469	C₄²	—	53	4	no	—
2470	C₄²	—	53	4	no	—
2471	C₄²	—	53	4	no	—
2472	C₄²	—	53	4	no	—
2473	C₄²	—	53	2	no	—
2474	C₄²	C₂³×D₅₃	1	2	yes	—
2475	C₄²	C₂³×D₅₃	1	2	yes	—
2476	C₄²	C₂³×D₅₃	1	2	yes	—
2477	C₄²	C₂³×D₅₃	1	2	yes	—
2478	C₄²	C₂³×D₅₃	1	4	yes	—
2479	C₄²	C₂³×D₅₃	1	2	yes	—
2480	C₂³	—	2	2	no	—
2481	C₂³	—	2	2	no	—
2482	C₂³	—	2	4	no	—
2483	C₂³	—	4	1	no	—
2484	C₂³	—	4	2	no	—
2485	C₂³	—	4	2	no	—
2486	C₂³	—	53	1	no	—
2487	C₂³	—	53	1	no	—
2488	C₂³	—	53	1	no	—
2489	C₂³	—	53	4	no	—
2490	C₂³	—	53	1	no	—
2491	C₂³	—	53	2	no	—
2492	C₂³	—	106	2	no	—
2493	C₂³	—	106	2	no	—
2494	C₂³	—	106	4	no	—
2495	C₂³	—	106	2	no	—
2496	C₂³	—	106	2	no	—
2497	C₂³	—	106	2	no	—
2498	C₂³	—	106	2	no	—
2499	C₂³	—	106	2	no	—
2500	C₂³	—	106	2	no	—
2501	C₂³	—	106	2	no	—
2502	C₂³	—	106	2	no	—
2503	C₂³	—	212	2	no	—
2504	C₂³	—	212	2	no	—
2505	C₂³	—	212	1	no	—
2506	C₂³	—	212	1	no	—
2507	C₂³	—	212	1	no	—
2508	C₂³	—	212	1	no	—
2509	C₂³	—	212	1	no	—
2510	C₂³	—	212	1	no	—
2511	C₂³	—	212	1	no	—
2512	C₂³	—	212	16	no	—
2513	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2514	C₂³	C₂⁴×D₅₃	1	2	yes	—
2515	C₂³	C₂⁴×D₅₃	1	4	yes	—
2516	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2517	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2518	Q₈	—	2	2	no	—
2519	Q₈	—	4	4	no	—
2520	Q₈	—	106	4	no	—
2521	Q₈	—	106	4	no	—
2522	Q₈	—	106	4	no	—
2523	Q₈	—	106	2	no	—
2524	Q₈	—	212	4	no	—
2525	Q₈	—	212	4	no	—
2526	Q₈	—	212	4	no	—
2527	D₄	—	2	4	no	—
2528	D₄	—	2	8	no	—
2529	D₄	—	2	4	no	—
2530	D₄	—	2	4	no	—
2531	D₄	—	2	4	no	—
2532	D₄	—	2	2	no	—
2533	D₄	—	4	4	no	—
2534	D₄	—	4	2	no	—
2535	D₄	—	4	4	no	—
2536	D₄	—	4	4	no	—
2537	D₄	—	106	4	no	—
2538	D₄	—	106	4	no	—
2539	D₄	—	106	4	no	—
2540	D₄	—	106	4	no	—
2541	D₄	—	106	8	no	—
2542	D₄	—	106	8	no	—
2543	D₄	—	106	8	no	—
2544	D₄	—	106	4	no	—
2545	D₄	—	106	4	no	—
2546	D₄	—	106	4	no	—
2547	D₄	—	106	2	no	—
2548	D₄	—	212	2	no	—
2549	D₄	—	212	4	no	—
2550	D₄	—	212	2	no	—
2551	D₄	—	212	2	no	—
2552	D₄	—	212	4	no	—
2553	D₄	—	212	4	no	—
2554	C₂×C₄	—	2	2	no	—
2555	C₂×C₄	—	2	4	no	—
2556	C₂×C₄	—	2	2	no	—
2557	C₂×C₄	—	2	2	no	—
2558	C₂×C₄	—	2	2	no	—
2559	C₂×C₄	—	2	2	no	—
2560	C₂×C₄	—	2	4	no	—
2561	C₂×C₄	—	4	2	no	—
2562	C₂×C₄	—	4	2	no	—
2563	C₂×C₄	—	4	4	no	—
2564	C₂×C₄	—	4	4	no	—
2565	C₂×C₄	—	4	4	no	—
2566	C₂×C₄	—	53	4	no	—
2567	C₂×C₄	—	53	1	no	—
2568	C₂×C₄	—	53	1	no	—
2569	C₂×C₄	—	53	4	no	—
2570	C₂×C₄	—	53	4	no	—
2571	C₂×C₄	—	53	4	no	—
2572	C₂×C₄	—	53	4	no	—
2573	C₂×C₄	—	53	1	no	—
2574	C₂×C₄	—	53	2	no	—
2575	C₂×C₄	—	53	2	no	—
2576	C₂×C₄	—	53	2	no	—
2577	C₂×C₄	—	53	4	no	—
2578	C₂×C₄	—	53	2	no	—
2579	C₂×C₄	—	53	2	no	—
2580	C₂×C₄	—	53	4	no	—
2581	C₂×C₄	—	53	2	no	—
2582	C₂×C₄	—	53	2	no	—
2583	C₂×C₄	—	53	1	no	—
2584	C₂×C₄	—	106	2	no	—
2585	C₂×C₄	—	106	2	no	—
2586	C₂×C₄	—	106	2	no	—
2587	C₂×C₄	—	106	2	no	—
2588	C₂×C₄	—	106	4	no	—
2589	C₂×C₄	—	106	2	no	—
2590	C₂×C₄	—	106	2	no	—
2591	C₂×C₄	—	106	2	no	—
2592	C₂×C₄	—	106	2	no	—
2593	C₂×C₄	—	106	4	no	—
2594	C₂×C₄	—	106	4	no	—
2595	C₂×C₄	—	106	4	no	—
2596	C₂×C₄	—	106	2	no	—
2597	C₂×C₄	—	106	2	no	—
2598	C₂×C₄	—	106	2	no	—
2599	C₂×C₄	—	106	2	no	—
2600	C₂×C₄	—	106	4	no	—
2601	C₂×C₄	—	106	8	no	—
2602	C₂×C₄	—	106	8	no	—
2603	C₂×C₄	—	106	2	no	—
2604	C₂×C₄	—	106	4	no	—
2605	C₂×C₄	—	106	4	no	—
2606	C₂×C₄	—	106	2	no	—
2607	C₂×C₄	—	106	2	no	—
2608	C₂×C₄	—	106	2	no	—
2609	C₂×C₄	—	106	2	no	—
2610	C₂×C₄	—	106	4	no	—
2611	C₂×C₄	—	212	2	no	—
2612	C₂×C₄	—	212	2	no	—
2613	C₂×C₄	—	212	2	no	—
2614	C₂×C₄	—	212	2	no	—
2615	C₂×C₄	—	212	2	no	—
2616	C₂×C₄	—	212	2	no	—
2617	C₂×C₄	—	212	2	no	—
2618	C₂×C₄	—	212	2	no	—
2619	C₂×C₄	—	212	4	no	—
2620	C₂×C₄	—	212	4	no	—
2621	C₂×C₄	—	212	2	no	—
2622	C₂×C₄	—	212	2	no	—
2623	C₂×C₄	—	212	4	no	—
2624	C₂×C₄	—	212	4	no	—
2625	C₂×C₄	—	212	4	no	—
2626	C₂×C₄	#41×D₅₃	1	4	yes	—
2627	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2628	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2629	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2630	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2631	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2632	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2633	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2634	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2635	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2636	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2637	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2638	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2639	C₂²	—	2	1	no	—
2640	C₂²	—	2	1	no	—
2641	C₂²	—	2	1	no	—
2642	C₂²	—	2	1	no	—
2643	C₂²	—	2	1	no	—
2644	C₂²	—	2	2	no	—
2645	C₂²	—	2	4	no	—
2646	C₂²	—	2	4	no	—
2647	C₂²	—	2	2	no	—
2648	C₂²	—	2	1	no	—
2649	C₂²	—	2	2	no	—
2650	C₂²	—	2	4	no	—
2651	C₂²	—	2	1	no	—
2652	C₂²	—	4	4	no	—
2653	C₂²	—	8	4	no	—
2654	C₂²	—	53	2	no	—
2655	C₂²	—	53	2	no	—
2656	C₂²	—	53	2	no	—
2657	C₂²	—	106	8	no	—
2658	C₂²	—	106	1	no	—
2659	C₂²	—	106	1	no	—
2660	C₂²	—	106	1	no	—
2661	C₂²	—	106	1	no	—
2662	C₂²	—	106	1	no	—
2663	C₂²	—	106	1	no	—
2664	C₂²	—	106	1	no	—
2665	C₂²	—	106	2	no	—
2666	C₂²	—	106	2	no	—
2667	C₂²	—	106	1	no	—
2668	C₂²	—	106	2	no	—
2669	C₂²	—	106	1	no	—
2670	C₂²	—	424	4	no	—
2671	C₂²	—	212	4	no	—
2672	C₂²	—	212	4	no	—
2673	C₂²	—	212	4	no	—
2674	C₂²	—	212	4	no	—
2675	C₂²	—	212	4	no	—
2676	C₂²	C₂×#41×D₅₃	1	2	yes	—
2677	C₂²	#16811458	1	2	yes	—
2678	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2679	C₄	—	2	1	no	—
2680	C₄	—	2	1	no	—
2681	C₄	—	2	2	no	—
2682	C₄	—	2	2	no	—
2683	C₄	—	2	2	no	—
2684	C₄	—	2	2	no	—
2685	C₄	—	2	2	no	—
2686	C₄	—	2	2	no	—
2687	C₄	—	2	4	no	—
2688	C₄	—	2	2	no	—
2689	C₄	—	53	2	no	—
2690	C₄	—	53	2	no	—
2691	C₄	—	106	1	no	—
2692	C₄	—	106	1	no	—
2693	C₄	—	106	2	no	—
2694	C₄	—	106	4	no	—
2695	C₄	—	106	2	no	—
2696	C₄	—	106	2	no	—
2697	C₄	—	106	2	no	—
2698	C₄	—	106	4	no	—
2699	C₄	—	106	2	no	—
2700	C₄	—	106	2	no	—
2701	C₄	—	106	2	no	—
2702	C₄	C₂×#41×D₅₃	1	2	yes	—
2703	C₄	C₂×#41×D₅₃	1	2	yes	—
2704	C₂	—	2	2	no	—
2705	C₂	—	2	2	no	—
2706	C₂	—	4	1	no	—
2707	C₂	—	4	4	no	—
2708	C₂	—	4	2	no	—
2709	C₂	—	106	2	no	—
2710	C₂	—	106	2	no	—
2711	C₂	—	106	2	no	—
2712	C₂	—	212	2	no	—
2713	C₂	—	212	1	no	—
2714	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2715	C₂	#585×D₅₃	1	1	yes	characteristic
2716	C₂	C₂×#16811458	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3494	C₂
hypercenter	#3494	D₅₃
hypocenter	C₅₃	#62814
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3494

Complements

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

N	H ≅ G/N	type
1. #20288470	C₂	semidirect
2. #20288469	C₂	semidirect
3. #20288468	C₂	semidirect
4. #20288467	C₂	semidirect
5. #20288465	C₂	semidirect
6. #20288455	C₂	semidirect
7. #20288447	C₂	semidirect
8. #20288445	C₂	semidirect
9. #20288444	C₂	semidirect
10. #20288442	C₂	semidirect
11. #20288440	C₂	semidirect
12. #20288431	C₂	semidirect
13. #20288426	C₂	semidirect
14. #20288419	C₂	semidirect
15. #20288417	C₂	semidirect
16. #20288406	C₂	semidirect
17. #20288397	C₂	semidirect
18. #20288278	C₂	semidirect
19. #20288274	C₂	semidirect
20. #20288274	C₂	semidirect
21. #20288272	C₂	semidirect
22. #20288270	C₂	semidirect
23. #20288266	C₂	semidirect
24. #20288119	C₂	semidirect
25. #20288102	C₂	semidirect
26. #20288099	C₂	semidirect
27. #20288046	C₂	semidirect
28. #20288010	C₂	semidirect
29. #20288009	C₂	semidirect
30. C₂×#16811133	C₂	semidirect
31. #525×D₅₃	C₂	semidirect
32. #20287915	C₂	semidirect
33. #20287913	C₂	semidirect
34. C₂×#117×D₅₃	C₂	semidirect
35. C₅₃×#3494	C₂	semidirect
39. #16811347	C₂²	semidirect
40. #16811343	C₂²	semidirect
41. #16811342	C₂²	semidirect
42. #16811341	C₂²	semidirect
43. #16811341	C₂²	semidirect
44. #16811340	C₂²	semidirect
45. #16811338	C₂²	semidirect
46. #16811337	C₂²	semidirect
47. #16811337	C₂²	semidirect
48. #16811337	C₂²	semidirect
49. #16811335	C₂²	semidirect
50. #16811334	C₂²	semidirect
51. #16811332	C₂²	semidirect
52. #16811330	C₂²	semidirect
53. #16811328	C₂²	semidirect
54. #16811328	C₂²	semidirect
55. #16811327	C₂²	semidirect
56. #16811325	C₂²	semidirect
57. #16811325	C₂²	semidirect
58. #16811323	C₂²	semidirect
59. #16811323	C₂²	semidirect
60. #16811322	C₂²	semidirect
61. #16811320	C₂²	semidirect
62. #16811320	C₂²	semidirect
63. #16811318	C₂²	semidirect
64. #16811316	C₂²	semidirect
65. #16811316	C₂²	semidirect
66. #16811315	C₂²	semidirect
67. #16811313	C₂²	semidirect
68. #16811313	C₂²	semidirect
69. #16811313	C₂²	semidirect
70. #16811312	C₂²	semidirect
71. #16811312	C₂²	semidirect
72. #16811312	C₂²	semidirect
73. #16811311	C₂²	semidirect
74. #16811311	C₂²	semidirect
75. #16811310	C₂²	semidirect
76. #16811310	C₂²	semidirect
77. #16811310	C₂²	semidirect
78. #16811309	C₂²	semidirect
79. #16811309	C₂²	semidirect
80. #16811309	C₂²	semidirect
81. #16811308	C₂²	semidirect
82. #16811308	C₂²	semidirect
83. #16811307	C₂²	semidirect
84. #16811306	C₂²	semidirect
85. #16811306	C₂²	semidirect
86. #16811304	C₂²	semidirect
87. #16811304	C₂²	semidirect
88. #16811303	C₂²	semidirect
89. #16811303	C₂²	semidirect
90. #16811302	C₂²	semidirect
91. #16811302	C₂²	semidirect
92. #16811302	C₂²	semidirect
93. #16811301	C₂²	semidirect
94. #16811301	C₂²	semidirect
95. #16811300	C₂²	semidirect
96. #16811299	C₂²	semidirect
97. #16811299	C₂²	semidirect
98. #16811299	C₂²	semidirect
99. #16811296	C₂²	semidirect
100. #16811296	C₂²	semidirect
101. #16811278	C₂²	semidirect
102. #16811273	C₂²	semidirect
103. #16811273	C₂²	semidirect
104. #16811272	C₂²	semidirect
105. #16811271	C₂²	semidirect
106. #16811270	C₂²	semidirect
107. #16811267	C₂²	semidirect
108. #16811263	C₂²	semidirect
109. #16811262	C₂²	semidirect
110. #16811262	C₂²	semidirect
111. #16811261	C₂²	semidirect
112. #16811260	C₂²	semidirect
113. #16811254	C₂²	semidirect
114. #16811253	C₂²	semidirect
115. #16811253	C₂²	semidirect
116. #16811251	C₂²	semidirect
117. #16811251	C₂²	semidirect
118. #16811250	C₂²	semidirect
119. #16811250	C₂²	semidirect
121. #16811247	C₂²	semidirect
122. #16811244	C₂²	semidirect
123. #16811242	C₂²	semidirect
124. #16811240	C₂²	semidirect
125. #16811240	C₂²	semidirect
126. #16811238	C₂²	semidirect
127. #16811238	C₂²	semidirect
128. #16811236	C₂²	semidirect
129. #16811235	C₂²	semidirect
130. #16811233	C₂²	semidirect
131. #16811231	C₂²	semidirect
132. #16811227	C₂²	semidirect
133. #16811226	C₂²	semidirect
134. #16811224	C₂²	semidirect
135. #16811219	C₂²	semidirect
136. #16811216	C₂²	semidirect
137. #16811216	C₂²	semidirect
138. #16811214	C₂²	semidirect
139. #16811209	C₂²	semidirect
140. #16811207	C₂²	semidirect
141. #16811205	C₂²	semidirect
142. #16811205	C₂²	semidirect
143. #16811202	C₂²	semidirect
144. #16811202	C₂²	semidirect
145. #16811199	C₂²	semidirect
146. #16811194	C₂²	semidirect
147. #16811193	C₂²	semidirect
148. #16811190	C₂²	semidirect
149. #16811186	C₂²	semidirect
151. #16811180	C₂²	semidirect
152. #16811179	C₂²	semidirect
153. #16811179	C₂²	semidirect
154. #16811178	C₂²	semidirect
155. #16811178	C₂²	semidirect
156. #16811178	C₂²	semidirect
157. #16811177	C₂²	semidirect
158. #16811175	C₂²	semidirect
159. #16811175	C₂²	semidirect
160. #16811172	C₂²	semidirect
161. #16811171	C₂²	semidirect
162. #16811171	C₂²	semidirect
163. #16811170	C₂²	semidirect
164. #16811168	C₂²	semidirect
165. #16811159	C₂²	semidirect
166. #16811158	C₂²	semidirect
167. #16811157	C₂²	semidirect
168. #16811156	C₂²	semidirect
169. #16811156	C₂²	semidirect
170. #16811156	C₂²	semidirect
171. #16811155	C₂²	semidirect
172. #16811155	C₂²	semidirect
173. #16811155	C₂²	semidirect
174. #16811154	C₂²	semidirect
175. #16811154	C₂²	semidirect
176. #16811154	C₂²	semidirect
177. #16811154	C₂²	semidirect
178. #16811154	C₂²	semidirect
179. #16811152	C₂²	semidirect
180. #16811152	C₂²	semidirect
181. #16811152	C₂²	semidirect
182. #16811152	C₂²	semidirect
183. #16811151	C₂²	semidirect
184. #16811150	C₂²	semidirect
185. #16811150	C₂²	semidirect
186. #16811150	C₂²	semidirect
187. #16811150	C₂²	semidirect
188. #16811136	C₂²	semidirect
189. #16811136	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. #16811132	C₂²	semidirect
206. #16811132	C₂²	semidirect
207. #16811132	C₂²	semidirect
209. #16811131	C₂²	semidirect
211. #16811130	C₂²	semidirect
213. #16811129	C₂²	semidirect
216. C₂×#13133197	C₂²	semidirect
217. C₂×#13133196	C₂²	semidirect
218. C₂²⋊Q₈×D₅₃	C₂²	semidirect
219. C₂²⋊Q₈×D₅₃	C₂²	semidirect
220. C₂×#13133188	C₂²	semidirect
221. #121×D₅₃	C₂²	semidirect
222. #121×D₅₃	C₂²	semidirect
225. #16811106	C₂²	semidirect
226. #16811104	C₂²	semidirect
227. #16811104	C₂²	semidirect
228. #16811103	C₂²	semidirect
229. #16811103	C₂²	semidirect
230. #16811102	C₂²	semidirect
231. #16811102	C₂²	semidirect
232. #16811102	C₂²	semidirect
233. #16811102	C₂²	semidirect
234. #16811100	C₂²	semidirect
235. #16811100	C₂²	semidirect
236. #16811099	C₂²	semidirect
237. #16811098	C₂²	semidirect
240. #16811095	C₂²	semidirect
241. #41×Dic₅₃	C₂²	semidirect
242. C₄×#11719949	C₂²	semidirect
243. #16811091	C₂²	semidirect
244. C₄×#11719947	C₂²	semidirect
245. C₄×#11719947	C₂²	semidirect
246. C₄×#11719947	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. C₂×D₄×Dic₅₃	C₂²	semidirect
253. C₂×#13133177	C₂²	semidirect
254. C₄×D₄×D₅₃	C₂²	semidirect
255. C₄×D₄×D₅₃	C₂²	semidirect
256. C₂×#13133176	C₂²	semidirect
258. C₂×#13133175	C₂²	semidirect
259. C₂×#13133175	C₂²	semidirect
260. C₂×#13133175	C₂²	semidirect
261. C₂×#13133174	C₂²	semidirect
262. C₂×#13133173	C₂²	semidirect
263. C₂×#13133173	C₂²	semidirect
268. #117×D₅₃	C₂²	semidirect
269. #117×D₅₃	C₂²	semidirect
270. #117×D₅₃	C₂²	semidirect
271. #117×D₅₃	C₂²	semidirect
272. #117×D₅₃	C₂²	semidirect
273. #117×D₅₃	C₂²	semidirect
274. #117×D₅₃	C₂²	semidirect
275. #117×D₅₃	C₂²	semidirect
276. #117×D₅₃	C₂²	semidirect
277. #117×D₅₃	C₂²	semidirect
278. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
279. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
281. C₂×C₄²×D₅₃	C₂²	semidirect
282. C₅₃×#555	C₂²	semidirect
283. C₅₃×#553	C₂²	semidirect
284. C₅₃×#553	C₂²	semidirect
285. C₅₃×#551	C₂²	semidirect
286. C₅₃×#547	C₂²	semidirect
287. C₅₃×#546	C₂²	semidirect
288. C₅₃×#544	C₂²	semidirect
289. C₅₃×#542	C₂²	semidirect
290. C₅₃×#540	C₂²	semidirect
291. C₅₃×#535	C₂²	semidirect
292. C₅₃×#532	C₂²	semidirect
293. C₅₃×#529	C₂²	semidirect
295. C₂×#121×C₅₃	C₂²	semidirect
296. C₅₃×#520	C₂²	semidirect
297. C₅₃×#518	C₂²	semidirect
298. C₂×#117×C₅₃	C₂²	semidirect
340. #13133217	C₂³	semidirect
341. #13133217	C₂³	semidirect
342. #13133217	C₂³	semidirect
343. #13133216	C₂³	semidirect
344. #13133216	C₂³	semidirect
345. #13133216	C₂³	semidirect
346. #13133216	C₂³	semidirect
347. #13133216	C₂³	semidirect
348. #13133215	C₂³	semidirect
349. #13133215	C₂³	semidirect
350. #13133213	C₂³	semidirect
354. #13133212	C₂³	semidirect
355. #13133212	C₂³	semidirect
356. #13133212	C₂³	semidirect
358. #13133211	C₂³	semidirect
363. #13133210	C₂³	semidirect
364. #13133210	C₂³	semidirect
365. #13133210	C₂³	semidirect
366. #13133210	C₂³	semidirect
367. #13133210	C₂³	semidirect
368. #13133210	C₂³	semidirect
369. #13133210	C₂³	semidirect
370. #13133210	C₂³	semidirect
371. #13133210	C₂³	semidirect
372. #13133210	C₂³	semidirect
373. #13133209	C₂³	semidirect
374. #13133209	C₂³	semidirect
375. #13133209	C₂³	semidirect
376. #13133209	C₂³	semidirect
377. #13133208	C₂³	semidirect
378. #13133208	C₂³	semidirect
379. #13133208	C₂³	semidirect
380. #13133208	C₂³	semidirect
381. #13133208	C₂³	semidirect
382. #13133208	C₂³	semidirect
383. #13133208	C₂³	semidirect
384. #13133208	C₂³	semidirect
385. #13133207	C₂³	semidirect
386. #13133207	C₂³	semidirect
387. #13133207	C₂³	semidirect
388. #13133207	C₂³	semidirect
389. #13133207	C₂³	semidirect
390. #13133207	C₂³	semidirect
391. #13133207	C₂³	semidirect
392. #13133207	C₂³	semidirect
394. #13133205	C₂³	semidirect
397. #13133204	C₂³	semidirect
398. #13133204	C₂³	semidirect
399. #13133204	C₂³	semidirect
404. #13133203	C₂³	semidirect
405. #13133203	C₂³	semidirect
413. #13133201	C₂³	semidirect
418. #13133200	C₂³	semidirect
431. #13133199	C₂³	semidirect
432. #13133199	C₂³	semidirect
439. #13133198	C₂³	semidirect
440. #13133198	C₂³	semidirect
449. #13133197	C₂³	semidirect
450. #13133197	C₂³	semidirect
459. #13133196	C₂³	semidirect
460. #13133196	C₂³	semidirect
461. #13133196	C₂³	semidirect
462. #13133196	C₂³	semidirect
470. #13133195	C₂³	semidirect
476. #13133194	C₂³	semidirect
477. #13133194	C₂³	semidirect
478. #13133194	C₂³	semidirect
479. #13133194	C₂³	semidirect
480. #13133194	C₂³	semidirect
486. #13133193	C₂³	semidirect
504. #13133189	C₂³	semidirect
505. #13133189	C₂³	semidirect
516. #13133188	C₂³	semidirect
517. #13133188	C₂³	semidirect
532. Q₈×Dic₅₃	C₂³	semidirect
533. Q₈×Dic₅₃	C₂³	semidirect
534. Q₈×Dic₅₃	C₂³	semidirect
535. C₄×Dic₁₀₆	C₂³	semidirect
536. C₄×Dic₁₀₆	C₂³	semidirect
537. C₄×Dic₁₀₆	C₂³	semidirect
538. C₄×Dic₁₀₆	C₂³	semidirect
539. C₄×Dic₁₀₆	C₂³	semidirect
540. C₄×Dic₁₀₆	C₂³	semidirect
541. C₄×Dic₁₀₆	C₂³	semidirect
542. C₄×Dic₁₀₆	C₂³	semidirect
543. #13133182	C₂³	semidirect
544. #13133182	C₂³	semidirect
545. #13133182	C₂³	semidirect
546. #13133182	C₂³	semidirect
547. #13133182	C₂³	semidirect
548. #13133182	C₂³	semidirect
549. #13133182	C₂³	semidirect
550. #13133182	C₂³	semidirect
551. #13133182	C₂³	semidirect
552. #13133182	C₂³	semidirect
556. C₄×D₂₁₂	C₂³	semidirect
566. D₄×Dic₅₃	C₂³	semidirect
567. D₄×Dic₅₃	C₂³	semidirect
568. D₄×Dic₅₃	C₂³	semidirect
569. D₄×Dic₅₃	C₂³	semidirect
570. D₄×Dic₅₃	C₂³	semidirect
571. D₄×Dic₅₃	C₂³	semidirect
572. D₄×Dic₅₃	C₂³	semidirect
573. D₄×Dic₅₃	C₂³	semidirect
578. #13133179	C₂³	semidirect
592. C₄×C₂²⋊D₅₃	C₂³	semidirect
593. C₄×C₂²⋊D₅₃	C₂³	semidirect
609. #13133177	C₂³	semidirect
610. #13133177	C₂³	semidirect
611. #13133177	C₂³	semidirect
612. #13133177	C₂³	semidirect
621. #13133176	C₂³	semidirect
622. #13133176	C₂³	semidirect
623. #13133176	C₂³	semidirect
644. #13133175	C₂³	semidirect
645. #13133175	C₂³	semidirect
646. #13133175	C₂³	semidirect
647. #13133175	C₂³	semidirect
659. #13133174	C₂³	semidirect
672. #13133173	C₂³	semidirect
673. #13133173	C₂³	semidirect
674. #13133173	C₂³	semidirect
675. #13133173	C₂³	semidirect
676. #13133173	C₂³	semidirect
677. #13133173	C₂³	semidirect
678. #13133173	C₂³	semidirect
679. #13133173	C₂³	semidirect
684. C₂×C₄⋊Dic₅₃	C₂³	semidirect
688. C₂×#11719919	C₂³	semidirect
689. C₂×#11719919	C₂³	semidirect
706. C₄⋊C₄×D₅₃	C₂³	semidirect
707. C₄⋊C₄×D₅₃	C₂³	semidirect
735. C₂×C₄×Dic₅₃	C₂³	semidirect
736. C₂×C₄×Dic₅₃	C₂³	semidirect
737. C₂×C₄×Dic₅₃	C₂³	semidirect
747. C₄²×D₅₃	C₂³	semidirect
753. C₄⋊Q₈×C₅₃	C₂³	semidirect
754. C₄⋊Q₈×C₅₃	C₂³	semidirect
755. #127×C₅₃	C₂³	semidirect
756. #126×C₅₃	C₂³	semidirect
757. #126×C₅₃	C₂³	semidirect
758. #125×C₅₃	C₂³	semidirect
759. #125×C₅₃	C₂³	semidirect
761. #124×C₅₃	C₂³	semidirect
762. #124×C₅₃	C₂³	semidirect
766. #123×C₅₃	C₂³	semidirect
767. #123×C₅₃	C₂³	semidirect
771. C₂²⋊Q₈×C₅₃	C₂³	semidirect
781. #121×C₅₃	C₂³	semidirect
782. #121×C₅₃	C₂³	semidirect
785. C₄×Q₈×C₅₃	C₂³	semidirect
790. C₄×D₄×C₅₃	C₂³	semidirect
791. C₄×D₄×C₅₃	C₂³	semidirect
792. C₄×D₄×C₅₃	C₂³	semidirect
793. C₄×D₄×C₅₃	C₂³	semidirect
794. C₄×D₄×C₅₃	C₂³	semidirect
795. C₄×D₄×C₅₃	C₂³	semidirect
803. #117×C₅₃	C₂³	semidirect
804. #117×C₅₃	C₂³	semidirect
808. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
923. C₂×C₄×D₅₃	#41	semidirect
1357. #3494	D₅₃	semidirect
1408. #555	C₂×D₅₃	semidirect
1425. #553	C₂×D₅₃	semidirect
1426. #553	C₂×D₅₃	semidirect
1462. #551	C₂×D₅₃	semidirect
1468. #547	C₂×D₅₃	semidirect
1476. #546	C₂×D₅₃	semidirect
1484. #544	C₂×D₅₃	semidirect
1493. #542	C₂×D₅₃	semidirect
1501. #540	C₂×D₅₃	semidirect
1517. #535	C₂×D₅₃	semidirect
1533. #532	C₂×D₅₃	semidirect
1557. #529	C₂×D₅₃	semidirect
1594. C₂×#121	C₂×D₅₃	semidirect
1606. #520	C₂×D₅₃	semidirect
1614. #518	C₂×D₅₃	semidirect
1652. C₂×#117	C₂×D₅₃	semidirect
1657. C₅₃	#62814	semidirect
1714. C₄⋊Q₈	C₂²×D₅₃	semidirect
1715. C₄⋊Q₈	C₂²×D₅₃	semidirect
1717. #127	C₂²×D₅₃	semidirect
1740. #126	C₂²×D₅₃	semidirect
1741. #126	C₂²×D₅₃	semidirect
1762. #125	C₂²×D₅₃	semidirect
1763. #125	C₂²×D₅₃	semidirect
1778. #124	C₂²×D₅₃	semidirect
1779. #124	C₂²×D₅₃	semidirect
1818. #123	C₂²×D₅₃	semidirect
1819. #123	C₂²×D₅₃	semidirect
1869. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1910. #121	C₂²×D₅₃	semidirect
1911. #121	C₂²×D₅₃	semidirect
1949. C₄×Q₈	C₂²×D₅₃	semidirect
2014. C₄×D₄	C₂²×D₅₃	semidirect
2015. C₄×D₄	C₂²×D₅₃	semidirect
2016. C₄×D₄	C₂²×D₅₃	semidirect
2017. C₄×D₄	C₂²×D₅₃	semidirect
2018. C₄×D₄	C₂²×D₅₃	semidirect
2019. C₄×D₄	C₂²×D₅₃	semidirect
2094. #117	C₂²×D₅₃	semidirect
2095. #117	C₂²×D₅₃	semidirect
2127. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20288470	2
#20288469	2
#20288468	2
#20288467	2
#20288465	2
#20288455	2
#20288447	2
#20288445	2
#20288444	2
#20288442	2
#20288440	2
#20288431	2
#20288426	2
#20288419	2
#20288417	2
#20288406	2
#20288397	2
#20288278	2
#20288274	2
#20288272	2
#20288270	2
#20288266	2
#20288119	2
#20288102	2
#20288099	2
#20288046	2
#20288010	2
#20288009	2
C₂×#16811133	2
#525×D₅₃	2
#20287915	2
#20287913	2
C₂×#117×D₅₃	2
C₅₃×#3494	2
#62814	53