Subgroups — #28292714

Order 13568.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289037	C₂	1	2	yes	maximal, complemented
2	#20289033	C₂	1	2	yes	maximal, complemented
3	#20289020	C₂	1	4	yes	maximal, complemented
4	#20288952	C₂	1	2	yes	maximal, complemented
5	#20288950	C₂	1	1	yes	maximal, characteristic, complemented
6	#20288942	C₂	1	1	yes	maximal, characteristic, complemented
7	#20288937	C₂	1	1	yes	maximal, characteristic, complemented
8	#20288936	C₂	1	2	yes	maximal, complemented
9	#20288906	C₂	1	2	yes	maximal, complemented
10	#20288902	C₂	1	2	yes	maximal, complemented
11	#20288896	C₂	1	4	yes	maximal, complemented
12	#20288740	C₂	1	2	yes	maximal, complemented
13	#20288738	C₂	1	2	yes	maximal, complemented
14	#20288734	C₂	1	4	yes	maximal, complemented
15	#20288553	C₂	1	2	yes	maximal, complemented
16	#20288544	C₂	1	2	yes	maximal, complemented
17	#20288476	C₂	1	2	yes	maximal, complemented
18	#20288471	C₂	1	2	yes	maximal, complemented
19	#20288446	C₂	1	2	yes	maximal, complemented
20	#20288442	C₂	1	2	yes	maximal, complemented
21	#20288419	C₂	1	2	yes	maximal, complemented
22	#20288403	C₂	1	2	yes	maximal, complemented
23	#20288401	C₂	1	2	yes	maximal, complemented
24	#20288382	C₂	1	2	yes	maximal, complemented
25	#20288375	C₂	1	2	yes	maximal, complemented
26	#20288343	C₂	1	4	yes	maximal, complemented
27	#20288343	C₂	1	2	yes	maximal, complemented
28	C₂×#16811133	C₂	1	1	yes	maximal, characteristic, complemented
29	#525×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#121×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#3537	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13133262	C₂²	1	2	yes	complemented
33	C₂×#13133262	C₂²	1	4	yes	complemented
34	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
35	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
38	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
39	#16811370	C₂²	1	4	yes	complemented
40	#16811370	C₂²	1	4	yes	complemented
41	#16811368	C₂²	1	4	yes	complemented
42	#16811367	C₂²	1	4	yes	complemented
43	#16811363	C₂²	1	4	yes	complemented
44	#16811362	C₂²	1	4	yes	complemented
45	#16811361	C₂²	1	4	yes	complemented
46	#16811338	C₂²	1	2	yes	complemented
47	#16811337	C₂²	1	4	yes	complemented
48	#16811336	C₂²	1	2	yes	complemented
49	#16811332	C₂²	1	4	yes	complemented
50	#16811330	C₂²	1	2	yes	complemented
51	#16811328	C₂²	1	2	yes	complemented
52	#16811326	C₂²	1	2	yes	complemented
53	#16811325	C₂²	1	2	yes	complemented
54	#16811325	C₂²	1	2	yes	complemented
55	#16811325	C₂²	1	4	yes	complemented
56	#16811324	C₂²	1	4	yes	complemented
57	#16811321	C₂²	1	2	yes	complemented
58	#16811320	C₂²	1	4	yes	complemented
59	#16811319	C₂²	1	4	yes	complemented
60	#16811318	C₂²	1	4	yes	complemented
61	#16811316	C₂²	1	4	yes	complemented
62	#16811316	C₂²	1	4	yes	complemented
63	#16811312	C₂²	1	2	yes	complemented
64	#16811311	C₂²	1	2	yes	complemented
65	#16811309	C₂²	1	4	yes	complemented
66	#16811303	C₂²	1	4	yes	complemented
67	#16811301	C₂²	1	4	yes	complemented
68	#16811298	C₂²	1	4	yes	complemented
69	#16811298	C₂²	1	4	yes	complemented
70	#16811296	C₂²	1	4	yes	complemented
71	#16811296	C₂²	1	4	yes	complemented
72	#16811296	C₂²	1	4	yes	complemented
73	#16811296	C₂²	1	4	yes	complemented
74	#16811293	C₂²	1	2	yes	complemented
75	#16811293	C₂²	1	4	yes	complemented
76	#16811291	C₂²	1	2	yes	complemented
77	#16811282	C₂²	1	2	yes	complemented
78	#16811281	C₂²	1	4	yes	complemented
79	#16811279	C₂²	1	2	yes	complemented
80	#16811278	C₂²	1	2	yes	complemented
81	#16811277	C₂²	1	2	yes	complemented
82	#16811273	C₂²	1	2	yes	complemented
83	#16811273	C₂²	1	2	yes	complemented
84	#16811271	C₂²	1	4	yes	complemented
85	#16811271	C₂²	1	4	yes	complemented
86	#16811270	C₂²	1	2	yes	complemented
87	#16811270	C₂²	1	4	yes	complemented
88	#16811270	C₂²	1	4	yes	complemented
89	#16811269	C₂²	1	4	yes	complemented
90	#16811269	C₂²	1	2	yes	complemented
91	#16811268	C₂²	1	2	yes	complemented
92	#16811268	C₂²	1	4	yes	complemented
93	#16811268	C₂²	1	2	yes	complemented
94	#16811267	C₂²	1	4	yes	complemented
95	#16811267	C₂²	1	2	yes	complemented
96	#16811267	C₂²	1	2	yes	complemented
97	#16811267	C₂²	1	4	yes	complemented
98	#16811266	C₂²	1	4	yes	complemented
99	#16811265	C₂²	1	4	yes	complemented
100	#16811265	C₂²	1	4	yes	complemented
101	#16811262	C₂²	1	4	yes	complemented
102	#16811262	C₂²	1	4	yes	complemented
103	#16811262	C₂²	1	4	yes	complemented
104	#16811262	C₂²	1	4	yes	complemented
105	#16811260	C₂²	1	4	yes	complemented
106	#16811260	C₂²	1	4	yes	complemented
107	#16811260	C₂²	1	4	yes	complemented
108	#16811260	C₂²	1	4	yes	complemented
109	#16811260	C₂²	1	4	yes	complemented
110	#16811260	C₂²	1	4	yes	complemented
111	#16811260	C₂²	1	4	yes	complemented
112	#16811260	C₂²	1	4	yes	complemented
113	#16811260	C₂²	1	4	yes	complemented
114	#16811260	C₂²	1	4	yes	complemented
115	#16811258	C₂²	1	2	yes	complemented
116	#16811258	C₂²	1	4	yes	complemented
117	#16811257	C₂²	1	2	yes	complemented
118	#16811257	C₂²	1	4	yes	complemented
119	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
120	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
121	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
122	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
123	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
124	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
125	#16811255	C₂²	1	4	yes	complemented
126	#16811255	C₂²	1	4	yes	complemented
127	#16811255	C₂²	1	4	yes	complemented
128	#16811255	C₂²	1	4	yes	complemented
129	#16811253	C₂²	1	2	yes	complemented
130	#16811249	C₂²	1	2	yes	complemented
131	#16811248	C₂²	1	2	yes	complemented
132	#16811244	C₂²	1	2	yes	complemented
133	#16811240	C₂²	1	2	yes	complemented
134	#16811239	C₂²	1	4	yes	complemented
135	#16811227	C₂²	1	4	yes	complemented
136	#16811226	C₂²	1	4	yes	complemented
137	#16811226	C₂²	1	4	yes	complemented
138	#16811226	C₂²	1	2	yes	complemented
139	#16811225	C₂²	1	4	yes	complemented
140	#16811225	C₂²	1	4	yes	complemented
141	#16811222	C₂²	1	2	yes	complemented
142	#16811218	C₂²	1	2	yes	complemented
143	#16811216	C₂²	1	4	yes	complemented
144	#16811214	C₂²	1	4	yes	complemented
145	#16811214	C₂²	1	4	yes	complemented
146	#16811212	C₂²	1	4	yes	complemented
147	#16811211	C₂²	1	2	yes	complemented
148	#16811211	C₂²	1	2	yes	complemented
149	#16811210	C₂²	1	2	yes	complemented
150	#16811210	C₂²	1	2	yes	complemented
151	#16811210	C₂²	1	4	yes	complemented
152	#16811210	C₂²	1	4	yes	complemented
153	#16811209	C₂²	1	4	yes	complemented
154	#16811208	C₂²	1	4	yes	complemented
155	#16811208	C₂²	1	4	yes	complemented
156	#16811208	C₂²	1	4	yes	complemented
157	#16811202	C₂²	1	2	yes	complemented
158	#16811202	C₂²	1	2	yes	complemented
159	#16811202	C₂²	1	4	yes	complemented
160	#16811201	C₂²	1	2	yes	complemented
161	#16811200	C₂²	1	2	yes	complemented
162	#16811200	C₂²	1	4	yes	complemented
163	#16811200	C₂²	1	2	yes	complemented
164	#16811189	C₂²	1	4	yes	complemented
165	#16811189	C₂²	1	2	yes	complemented
166	#16811189	C₂²	1	2	yes	complemented
167	#16811188	C₂²	1	4	yes	complemented
168	#16811186	C₂²	1	4	yes	complemented
169	#16811186	C₂²	1	2	yes	complemented
170	#16811185	C₂²	1	2	yes	complemented
171	#16811183	C₂²	1	4	yes	complemented
172	#16811183	C₂²	1	4	yes	complemented
173	#16811183	C₂²	1	4	yes	complemented
174	#16811183	C₂²	1	4	yes	complemented
175	#16811181	C₂²	1	2	yes	complemented
176	#16811181	C₂²	1	4	yes	complemented
177	#16811181	C₂²	1	4	yes	complemented
178	#16811181	C₂²	1	4	yes	complemented
179	#16811171	C₂²	1	2	yes	complemented
180	#16811170	C₂²	1	2	yes	complemented
181	#16811168	C₂²	1	4	yes	complemented
182	#16811158	C₂²	1	2	yes	complemented
183	#16811155	C₂²	1	2	yes	complemented
184	#16811153	C₂²	1	4	yes	complemented
185	#16811136	C₂²	1	1	yes	characteristic, complemented
186	#16811136	C₂²	1	1	yes	characteristic, complemented
187	#16811135	C₂²	1	1	yes	characteristic, complemented
188	#16811135	C₂²	1	2	yes	complemented
189	#16811134	C₂²	1	1	yes	characteristic, complemented
190	#16811133	C₂²	1	4	yes	complemented
191	#16811133	C₂²	1	2	yes	complemented
192	#16811133	C₂²	1	2	yes	complemented
193	#16811133	C₂²	1	1	yes	characteristic, complemented
194	#16811133	C₂²	1	2	yes	complemented
195	#16811133	C₂²	1	2	yes	complemented
196	#16811133	C₂²	1	2	yes	complemented
197	#16811133	C₂²	1	2	yes	complemented
198	#16811133	C₂²	1	1	yes	characteristic, complemented
199	#16811133	C₂²	1	2	yes	complemented
200	#16811133	C₂²	1	2	yes	complemented
201	#16811133	C₂²	1	2	yes	complemented
202	#16811132	C₂²	1	4	yes	complemented
203	#16811132	C₂²	1	2	yes	complemented
204	#16811132	C₂²	1	2	yes	complemented
205	#16811131	C₂²	1	2	yes	complemented
206	#16811130	C₂²	1	1	yes	characteristic, complemented
207	#16811129	C₂²	1	2	yes	complemented
208	#16811129	C₂²	1	4	yes	complemented
209	C₂×#13133199	C₂²	1	2	yes	complemented
210	#123×D₅₃	C₂²	1	2	yes	complemented
211	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
212	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
213	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
214	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
215	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
216	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
217	C₂×#13133190	C₂²	1	2	yes	complemented
218	C₂×#13133189	C₂²	1	2	yes	complemented
219	C₂×#13133189	C₂²	1	4	yes	complemented
220	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
221	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
222	C₂×#13133188	C₂²	1	2	yes	complemented
223	#121×D₅₃	C₂²	1	2	yes	complemented
224	#121×D₅₃	C₂²	1	2	yes	complemented
225	#121×D₅₃	C₂²	1	2	yes	complemented
226	#121×D₅₃	C₂²	1	2	yes	complemented
227	#121×D₅₃	C₂²	1	2	yes	complemented
228	#121×D₅₃	C₂²	1	2	yes	complemented
229	#121×D₅₃	C₂²	1	2	yes	complemented
230	#121×D₅₃	C₂²	1	2	yes	complemented
231	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
232	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
233	#121×D₅₃	C₂²	1	2	yes	complemented
234	C₂×#13133185	C₂²	1	4	yes	complemented
235	C₂×#13133185	C₂²	1	2	yes	complemented
236	#120×D₅₃	C₂²	1	4	yes	complemented
237	#120×D₅₃	C₂²	1	2	yes	complemented
238	#16811103	C₂²	1	2	yes	complemented
239	#16811102	C₂²	1	2	yes	complemented
240	#16811098	C₂²	1	4	yes	complemented
241	#16811095	C₂²	1	4	yes	complemented
242	#16811095	C₂²	1	4	yes	complemented
243	#16811095	C₂²	1	2	yes	complemented
244	C₂×D₄×Dic₅₃	C₂²	1	2	yes	complemented
245	C₂×#13133177	C₂²	1	2	yes	complemented
246	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
247	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
248	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
249	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
250	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
251	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
252	C₅₃×#560	C₂²	1	4	yes	complemented
253	C₅₃×#553	C₂²	1	2	yes	complemented
254	C₅₃×#553	C₂²	1	2	yes	complemented
255	D₄²×C₅₃	C₂²	1	4	yes	complemented
256	D₄²×C₅₃	C₂²	1	2	yes	complemented
257	D₄²×C₅₃	C₂²	1	2	yes	complemented
258	C₅₃×#540	C₂²	1	2	yes	complemented
259	C₅₃×#538	C₂²	1	2	yes	complemented
260	C₅₃×#538	C₂²	1	2	yes	complemented
261	C₅₃×#535	C₂²	1	2	yes	complemented
262	C₅₃×#534	C₂²	1	2	yes	complemented
263	C₅₃×#534	C₂²	1	2	yes	complemented
264	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
265	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
266	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
268	C₂⁴×D₅₃	C₂³	1	2	yes	—
269	#13133262	—	4	8	no	—
270	#13133262	—	4	16	no	—
271	C₂×#11719949	C₂³	1	1	yes	characteristic
272	C₂×#11719945	C₂³	1	2	yes	—
273	C₂×#11719945	C₂³	1	4	yes	—
274	C₂×#11719945	C₂³	1	4	yes	complemented
275	C₂×#11719945	C₂³	1	2	yes	complemented
276	C₂×#11719945	C₂³	1	1	yes	characteristic, complemented
277	C₂×#11719947	—	4	4	no	—
278	C₂×#11719947	C₂³	1	2	yes	—
279	C₂×#11719947	C₂³	1	4	yes	—
280	C₂×#11719947	C₂³	1	1	yes	characteristic
281	C₂×#11719947	C₂³	1	2	yes	—
282	C₂×#11719947	C₂³	1	4	yes	complemented
283	C₂×#11719947	C₂³	1	2	yes	complemented
284	C₂×#11719947	C₂³	1	2	yes	complemented
285	C₂×#11719947	C₂³	1	4	yes	complemented
286	C₂×#11719947	C₂³	1	4	yes	complemented
287	C₂×#11719947	C₂³	1	4	yes	complemented
288	C₂×#11719947	C₂³	1	2	yes	complemented
289	C₂×#11719947	C₂³	1	2	yes	complemented
290	#41×D₅₃	—	4	4	no	—
291	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
292	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic, complemented
293	C₂²×D₂₁₂	C₂³	1	2	yes	—
294	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
295	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
296	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
297	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
298	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
299	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
300	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
301	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
302	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
303	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
304	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
305	C₂×D₄×D₅₃	—	4	4	no	—
306	C₂×D₄×D₅₃	—	4	8	no	—
307	C₂×D₄×D₅₃	C₂³	1	2	yes	—
308	C₂×D₄×D₅₃	C₂³	1	4	yes	—
309	C₂×D₄×D₅₃	C₂³	1	2	yes	—
310	C₂×D₄×D₅₃	C₂³	1	4	yes	—
311	C₂×D₄×D₅₃	C₂³	1	4	yes	—
312	C₂×D₄×D₅₃	C₂³	1	2	yes	—
313	C₂×D₄×D₅₃	C₂³	1	4	yes	—
314	C₂×D₄×D₅₃	C₂³	1	4	yes	—
315	C₂×D₄×D₅₃	C₂³	1	2	yes	—
316	C₂×D₄×D₅₃	C₂³	1	4	yes	—
317	C₂×D₄×D₅₃	C₂³	1	2	yes	—
318	C₂×D₄×D₅₃	C₂³	1	2	yes	—
319	C₂×D₄×D₅₃	C₂³	1	4	yes	—
320	C₂×D₄×D₅₃	C₂³	1	2	yes	—
321	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
322	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
323	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
324	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
325	C₂³×Dic₅₃	C₂³	1	2	yes	complemented
326	C₂²×C₄×D₅₃	—	4	4	no	—
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	2	yes	—
332	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
333	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
334	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
335	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
336	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
337	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
338	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
339	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
340	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
341	#13133217	C₂³	1	2	yes	complemented
342	#13133216	C₂³	1	4	yes	complemented
343	#13133216	C₂³	1	2	yes	complemented
344	#13133213	C₂³	1	4	yes	complemented
345	#13133213	C₂³	1	2	yes	complemented
346	#13133213	C₂³	1	4	yes	complemented
347	#13133213	C₂³	1	4	yes	complemented
348	#13133213	C₂³	1	4	yes	complemented
349	#13133212	C₂³	1	4	yes	complemented
350	#13133212	C₂³	1	4	yes	complemented
351	#13133212	C₂³	1	4	yes	complemented
352	#13133212	C₂³	1	4	yes	complemented
353	#13133212	C₂³	1	4	yes	complemented
354	#13133210	C₂³	1	4	yes	complemented
355	#13133210	C₂³	1	4	yes	complemented
356	#13133210	C₂³	1	4	yes	complemented
357	#13133210	C₂³	1	4	yes	complemented
358	#13133210	C₂³	1	4	yes	complemented
359	#13133209	C₂³	1	4	yes	complemented
360	#13133208	C₂³	1	4	yes	complemented
361	#13133208	C₂³	1	4	yes	complemented
362	#13133208	C₂³	1	2	yes	complemented
363	#13133207	C₂³	1	4	yes	complemented
364	#13133207	C₂³	1	4	yes	complemented
365	#13133205	C₂³	1	2	yes	complemented
366	#13133205	C₂³	1	4	yes	complemented
367	#13133204	C₂³	1	2	yes	complemented
368	#13133204	C₂³	1	4	yes	complemented
369	#13133204	C₂³	1	4	yes	complemented
370	#13133203	C₂³	1	4	yes	complemented
371	#13133203	C₂³	1	4	yes	complemented
372	#13133203	C₂³	1	4	yes	complemented
373	#13133203	C₂³	1	4	yes	complemented
374	#13133203	C₂³	1	4	yes	complemented
375	#13133203	C₂³	1	4	yes	complemented
376	#13133203	C₂³	1	4	yes	complemented
377	#13133203	C₂³	1	4	yes	complemented
378	#13133203	C₂³	1	4	yes	complemented
379	#13133202	C₂³	1	4	yes	—
380	#13133202	C₂³	1	2	yes	—
381	#13133202	C₂³	1	2	yes	—
382	#13133202	C₂³	1	4	yes	complemented
383	#13133202	C₂³	1	4	yes	complemented
384	#13133202	C₂³	1	4	yes	complemented
385	#13133202	C₂³	1	4	yes	complemented
386	#13133201	C₂³	1	4	yes	complemented
387	#13133201	C₂³	1	4	yes	complemented
388	#13133201	C₂³	1	4	yes	complemented
389	#13133201	C₂³	1	4	yes	complemented
390	#13133201	C₂³	1	4	yes	complemented
391	#13133201	C₂³	1	4	yes	complemented
392	#13133201	C₂³	1	4	yes	complemented
393	#13133201	C₂³	1	4	yes	complemented
394	#13133201	C₂³	1	2	yes	complemented
395	#13133200	C₂³	1	2	yes	complemented
396	#13133199	C₂³	1	4	yes	—
397	#13133199	C₂³	1	4	yes	—
398	#13133199	C₂³	1	4	yes	—
399	#13133199	C₂³	1	4	yes	—
400	#13133199	C₂³	1	2	yes	—
401	#13133199	C₂³	1	2	yes	—
402	#13133199	C₂³	1	4	yes	—
403	#13133199	C₂³	1	4	yes	complemented
404	#13133199	C₂³	1	4	yes	complemented
405	#13133199	C₂³	1	4	yes	complemented
406	#13133199	C₂³	1	4	yes	complemented
407	#13133199	C₂³	1	4	yes	complemented
408	#13133199	C₂³	1	4	yes	complemented
409	#13133199	C₂³	1	4	yes	complemented
410	#13133199	C₂³	1	4	yes	complemented
411	#13133199	C₂³	1	4	yes	complemented
412	#13133198	C₂³	1	4	yes	complemented
413	#13133198	C₂³	1	4	yes	complemented
414	#13133198	C₂³	1	4	yes	complemented
415	#13133198	C₂³	1	4	yes	complemented
416	#13133198	C₂³	1	4	yes	complemented
417	#13133198	C₂³	1	2	yes	complemented
418	#13133197	C₂³	1	4	yes	—
419	#13133197	C₂³	1	2	yes	—
420	#13133197	C₂³	1	1	yes	characteristic
421	#13133197	C₂³	1	2	yes	—
422	#13133197	C₂³	1	2	yes	complemented
423	#13133197	C₂³	1	4	yes	complemented
424	#13133197	C₂³	1	1	yes	characteristic, complemented
425	#13133197	C₂³	1	2	yes	complemented
426	#13133197	C₂³	1	2	yes	complemented
427	#13133196	C₂³	1	2	yes	—
428	#13133196	C₂³	1	4	yes	—
429	#13133196	C₂³	1	1	yes	characteristic
430	#13133196	C₂³	1	2	yes	—
431	#13133196	C₂³	1	4	yes	complemented
432	#13133196	C₂³	1	2	yes	complemented
433	#13133196	C₂³	1	2	yes	complemented
434	#13133196	C₂³	1	1	yes	characteristic, complemented
435	#13133196	C₂³	1	2	yes	complemented
436	#13133195	C₂³	1	4	yes	—
437	#13133195	C₂³	1	2	yes	—
438	#13133195	C₂³	1	4	yes	complemented
439	#13133195	C₂³	1	4	yes	complemented
440	#13133195	C₂³	1	4	yes	complemented
441	#13133195	C₂³	1	2	yes	complemented
442	#13133194	C₂³	1	4	yes	—
443	#13133194	C₂³	1	2	yes	—
444	#13133194	C₂³	1	4	yes	complemented
445	#13133194	C₂³	1	4	yes	complemented
446	#13133194	C₂³	1	4	yes	complemented
447	#13133194	C₂³	1	4	yes	complemented
448	#13133194	C₂³	1	4	yes	complemented
449	#13133194	C₂³	1	4	yes	complemented
450	#13133194	C₂³	1	4	yes	complemented
451	#13133194	C₂³	1	2	yes	complemented
452	#13133193	C₂³	1	1	yes	characteristic
453	#13133193	C₂³	1	4	yes	complemented
454	#13133193	C₂³	1	1	yes	characteristic, complemented
455	#13133192	C₂³	1	1	yes	characteristic
456	#13133192	C₂³	1	2	yes	—
457	#13133192	C₂³	1	2	yes	—
458	#13133192	C₂³	1	2	yes	—
459	#13133192	C₂³	1	2	yes	—
460	#13133192	C₂³	1	2	yes	complemented
461	#13133192	C₂³	1	4	yes	complemented
462	#13133192	C₂³	1	1	yes	characteristic, complemented
463	#13133191	C₂³	1	2	yes	—
464	#13133191	C₂³	1	2	yes	—
465	#13133191	C₂³	1	2	yes	—
466	#13133191	C₂³	1	2	yes	—
467	#13133191	C₂³	1	1	yes	characteristic
468	#13133191	C₂³	1	4	yes	complemented
469	#13133191	C₂³	1	4	yes	complemented
470	#13133191	C₂³	1	4	yes	complemented
471	#13133191	C₂³	1	4	yes	complemented
472	#13133191	C₂³	1	2	yes	complemented
473	#13133191	C₂³	1	1	yes	characteristic, complemented
474	#13133190	C₂³	1	4	yes	—
475	#13133190	C₂³	1	2	yes	—
476	#13133190	C₂³	1	4	yes	—
477	#13133190	C₂³	1	4	yes	—
478	#13133190	C₂³	1	4	yes	—
479	#13133190	C₂³	1	4	yes	—
480	#13133190	C₂³	1	4	yes	complemented
481	#13133190	C₂³	1	4	yes	complemented
482	#13133190	C₂³	1	4	yes	complemented
483	#13133190	C₂³	1	4	yes	complemented
484	#13133190	C₂³	1	4	yes	complemented
485	#13133190	C₂³	1	4	yes	complemented
486	#13133190	C₂³	1	4	yes	complemented
487	#13133190	C₂³	1	2	yes	complemented
488	#13133189	C₂³	1	4	yes	—
489	#13133189	C₂³	1	4	yes	—
490	#13133189	C₂³	1	2	yes	—
491	#13133189	C₂³	1	4	yes	—
492	#13133189	C₂³	1	4	yes	—
493	#13133189	C₂³	1	4	yes	—
494	#13133189	C₂³	1	4	yes	complemented
495	#13133189	C₂³	1	4	yes	complemented
496	#13133189	C₂³	1	4	yes	complemented
497	#13133189	C₂³	1	4	yes	complemented
498	#13133189	C₂³	1	4	yes	complemented
499	#13133189	C₂³	1	4	yes	complemented
500	#13133189	C₂³	1	4	yes	complemented
501	#13133189	C₂³	1	4	yes	complemented
502	#13133189	C₂³	1	4	yes	complemented
503	#13133189	C₂³	1	4	yes	complemented
504	#13133189	C₂³	1	4	yes	complemented
505	#13133189	C₂³	1	4	yes	complemented
506	#13133189	C₂³	1	4	yes	complemented
507	#13133189	C₂³	1	4	yes	complemented
508	#13133189	C₂³	1	4	yes	complemented
509	#13133189	C₂³	1	4	yes	complemented
510	#13133189	C₂³	1	2	yes	complemented
511	#13133189	C₂³	1	4	yes	complemented
512	#13133189	C₂³	1	4	yes	complemented
513	#13133188	C₂³	1	2	yes	—
514	#13133188	C₂³	1	2	yes	—
515	#13133188	C₂³	1	2	yes	—
516	#13133188	C₂³	1	2	yes	—
517	#13133188	C₂³	1	2	yes	—
518	#13133188	C₂³	1	2	yes	—
519	#13133188	C₂³	1	1	yes	characteristic
520	#13133188	C₂³	1	4	yes	—
521	#13133188	C₂³	1	4	yes	complemented
522	#13133188	C₂³	1	2	yes	complemented
523	#13133188	C₂³	1	4	yes	complemented
524	#13133188	C₂³	1	4	yes	complemented
525	#13133188	C₂³	1	4	yes	complemented
526	#13133188	C₂³	1	4	yes	complemented
527	#13133188	C₂³	1	4	yes	complemented
528	#13133188	C₂³	1	2	yes	complemented
529	#13133188	C₂³	1	4	yes	complemented
530	#13133188	C₂³	1	4	yes	complemented
531	#13133188	C₂³	1	1	yes	characteristic, complemented
532	#13133188	C₂³	1	2	yes	complemented
533	#13133188	C₂³	1	2	yes	complemented
534	#13133187	C₂³	1	4	yes	—
535	#13133187	C₂³	1	4	yes	—
536	#13133187	C₂³	1	2	yes	—
537	#13133187	C₂³	1	2	yes	—
538	#13133187	C₂³	1	2	yes	—
539	#13133187	C₂³	1	4	yes	complemented
540	#13133187	C₂³	1	4	yes	complemented
541	#13133187	C₂³	1	4	yes	complemented
542	#13133187	C₂³	1	4	yes	complemented
543	#13133186	C₂³	1	2	yes	—
544	#13133186	C₂³	1	4	yes	—
545	#13133186	C₂³	1	4	yes	complemented
546	#13133186	C₂³	1	4	yes	complemented
547	#13133186	C₂³	1	4	yes	complemented
548	#13133185	C₂³	1	4	yes	—
549	#13133185	C₂³	1	4	yes	—
550	#13133185	C₂³	1	4	yes	—
551	#13133185	C₂³	1	4	yes	—
552	#13133185	C₂³	1	4	yes	—
553	#13133185	C₂³	1	4	yes	—
554	#13133185	C₂³	1	4	yes	—
555	#13133185	C₂³	1	4	yes	—
556	#13133185	C₂³	1	4	yes	—
557	#13133185	C₂³	1	4	yes	—
558	#13133185	C₂³	1	4	yes	—
559	#13133185	C₂³	1	2	yes	—
560	#13133185	C₂³	1	2	yes	—
561	#13133185	C₂³	1	2	yes	—
562	#13133185	C₂³	1	4	yes	—
563	#13133185	C₂³	1	4	yes	complemented
564	#13133185	C₂³	1	4	yes	complemented
565	#13133185	C₂³	1	4	yes	complemented
566	#13133185	C₂³	1	4	yes	complemented
567	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
568	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
569	#13133182	C₂³	1	2	yes	complemented
570	C₄×D₂₁₂	C₂³	1	4	yes	—
571	C₄×D₂₁₂	C₂³	1	2	yes	—
572	C₄×D₂₁₂	C₂³	1	4	yes	complemented
573	C₄×D₂₁₂	C₂³	1	2	yes	complemented
574	C₄×D₂₁₂	C₂³	1	2	yes	complemented
575	C₄×D₂₁₂	C₂³	1	4	yes	complemented
576	D₄×Dic₅₃	C₂³	1	4	yes	—
577	D₄×Dic₅₃	C₂³	1	4	yes	—
578	D₄×Dic₅₃	C₂³	1	4	yes	—
579	D₄×Dic₅₃	C₂³	1	2	yes	—
580	D₄×Dic₅₃	C₂³	1	4	yes	—
581	D₄×Dic₅₃	C₂³	1	2	yes	complemented
582	D₄×Dic₅₃	C₂³	1	2	yes	complemented
583	D₄×Dic₅₃	C₂³	1	2	yes	complemented
584	D₄×Dic₅₃	C₂³	1	4	yes	complemented
585	D₄×Dic₅₃	C₂³	1	4	yes	complemented
586	D₄×Dic₅₃	C₂³	1	4	yes	complemented
587	D₄×Dic₅₃	C₂³	1	4	yes	complemented
588	D₄×Dic₅₃	C₂³	1	4	yes	complemented
589	D₄×Dic₅₃	C₂³	1	4	yes	complemented
590	D₄×Dic₅₃	C₂³	1	4	yes	complemented
591	#13133179	C₂³	1	2	yes	—
592	#13133179	C₂³	1	4	yes	complemented
593	#13133179	C₂³	1	4	yes	complemented
594	#13133179	C₂³	1	2	yes	complemented
595	#13133179	C₂³	1	2	yes	complemented
596	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
597	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
598	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
599	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
600	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
601	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
602	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
603	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
604	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
605	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
606	#13133177	C₂³	1	4	yes	—
607	#13133177	C₂³	1	4	yes	—
608	#13133177	C₂³	1	2	yes	—
609	#13133177	C₂³	1	4	yes	—
610	#13133177	C₂³	1	4	yes	—
611	#13133177	C₂³	1	2	yes	—
612	#13133177	C₂³	1	4	yes	complemented
613	#13133177	C₂³	1	4	yes	complemented
614	#13133177	C₂³	1	4	yes	complemented
615	#13133177	C₂³	1	4	yes	complemented
616	#13133177	C₂³	1	4	yes	complemented
617	#13133177	C₂³	1	4	yes	complemented
618	#13133177	C₂³	1	4	yes	complemented
619	#13133177	C₂³	1	2	yes	complemented
620	#13133177	C₂³	1	2	yes	complemented
621	#13133176	C₂³	1	4	yes	complemented
622	#13133176	C₂³	1	4	yes	complemented
623	#13133176	C₂³	1	1	yes	characteristic, complemented
624	#13133175	C₂³	1	1	yes	characteristic
625	#13133175	C₂³	1	2	yes	—
626	#13133175	C₂³	1	4	yes	—
627	#13133175	C₂³	1	1	yes	characteristic
628	#13133175	C₂³	1	2	yes	—
629	#13133175	C₂³	1	4	yes	complemented
630	#13133175	C₂³	1	2	yes	complemented
631	#13133175	C₂³	1	2	yes	complemented
632	#13133175	C₂³	1	2	yes	complemented
633	#13133174	C₂³	1	4	yes	—
634	#13133174	C₂³	1	2	yes	—
635	#13133174	C₂³	1	4	yes	complemented
636	#13133173	C₂³	1	4	yes	complemented
637	#13133173	C₂³	1	2	yes	complemented
638	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
639	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
640	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
641	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
642	C₂×#11719919	C₂³	1	2	yes	—
643	C₂×#11719919	C₂³	1	4	yes	complemented
644	C₂×#11719919	C₂³	1	2	yes	complemented
645	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
646	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
647	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
648	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
649	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
650	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
651	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
652	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
653	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
654	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
655	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
656	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
657	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
658	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
659	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
660	C₂×#11719921	C₂³	1	2	yes	—
661	C₂×#11719921	C₂³	1	4	yes	—
662	C₂×#11719921	C₂³	1	4	yes	—
663	C₂×#11719921	C₂³	1	2	yes	—
664	C₂×#11719921	C₂³	1	2	yes	—
665	C₂×#11719921	C₂³	1	2	yes	—
666	C₂×#11719921	C₂³	1	4	yes	complemented
667	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
668	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
669	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
670	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
671	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
672	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
673	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
674	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
675	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
676	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
677	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
678	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
679	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
680	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
681	C₄²×D₅₃	C₂³	1	2	yes	complemented
682	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic, complemented
683	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
684	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
685	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
686	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
687	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
688	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
689	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
690	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
691	#127×C₅₃	C₂³	1	4	yes	complemented
692	#127×C₅₃	C₂³	1	2	yes	complemented
693	#126×C₅₃	C₂³	1	4	yes	complemented
694	#126×C₅₃	C₂³	1	4	yes	complemented
695	#125×C₅₃	C₂³	1	2	yes	complemented
696	#124×C₅₃	C₂³	1	4	yes	complemented
697	#123×C₅₃	C₂³	1	4	yes	complemented
698	#123×C₅₃	C₂³	1	4	yes	complemented
699	#123×C₅₃	C₂³	1	4	yes	complemented
700	#123×C₅₃	C₂³	1	4	yes	complemented
701	#123×C₅₃	C₂³	1	2	yes	complemented
702	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
703	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
704	#121×C₅₃	C₂³	1	2	yes	—
705	#121×C₅₃	C₂³	1	2	yes	—
706	#121×C₅₃	C₂³	1	2	yes	—
707	#121×C₅₃	C₂³	1	2	yes	—
708	#121×C₅₃	C₂³	1	2	yes	—
709	#121×C₅₃	C₂³	1	2	yes	—
710	#121×C₅₃	C₂³	1	1	yes	characteristic
711	#121×C₅₃	C₂³	1	4	yes	—
712	#121×C₅₃	C₂³	1	2	yes	complemented
713	#121×C₅₃	C₂³	1	4	yes	complemented
714	#121×C₅₃	C₂³	1	4	yes	complemented
715	#121×C₅₃	C₂³	1	2	yes	complemented
716	#121×C₅₃	C₂³	1	2	yes	complemented
717	#121×C₅₃	C₂³	1	2	yes	complemented
718	#121×C₅₃	C₂³	1	1	yes	characteristic, complemented
719	#121×C₅₃	C₂³	1	4	yes	complemented
720	#121×C₅₃	C₂³	1	4	yes	complemented
721	#121×C₅₃	C₂³	1	4	yes	complemented
722	#120×C₅₃	C₂³	1	2	yes	—
723	#120×C₅₃	C₂³	1	4	yes	—
724	#120×C₅₃	C₂³	1	4	yes	complemented
725	#120×C₅₃	C₂³	1	4	yes	complemented
726	#120×C₅₃	C₂³	1	4	yes	complemented
727	#120×C₅₃	C₂³	1	4	yes	complemented
728	#120×C₅₃	C₂³	1	4	yes	complemented
729	C₄×D₄×C₅₃	C₂³	1	2	yes	—
730	C₄×D₄×C₅₃	C₂³	1	4	yes	—
731	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
732	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
733	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
734	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
735	#117×C₅₃	C₂³	1	1	yes	characteristic, complemented
736	#117×C₅₃	C₂³	1	2	yes	complemented
737	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
738	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
739	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
740	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
741	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
742	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
743	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
744	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
745	C₂³×D₅₃	—	2	4	no	—
746	C₂³×D₅₃	—	4	2	no	—
747	C₂³×D₅₃	—	4	4	no	—
748	C₂³×D₅₃	—	4	4	no	—
749	C₂³×D₅₃	—	4	2	no	—
750	C₂³×D₅₃	—	4	4	no	—
751	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
752	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
753	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
754	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
755	C₂³×D₅₃	C₂⁴	1	4	yes	—
756	C₂³×D₅₃	C₂⁴	1	4	yes	—
757	C₂³×D₅₃	C₂⁴	1	2	yes	—
758	C₂³×D₅₃	C₂⁴	1	2	yes	—
759	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
760	C₂³×D₅₃	C₂⁴	1	4	yes	—
761	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
762	#41×C₅₃	—	4	2	no	—
763	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
764	C₂×D₄×C₅₃	—	4	2	no	—
765	C₂×D₄×C₅₃	—	4	2	no	—
766	C₂×D₄×C₅₃	—	4	4	no	—
767	C₂×D₄×C₅₃	—	4	4	no	—
768	C₂×D₄×C₅₃	—	4	8	no	—
769	C₂×D₄×C₅₃	—	4	4	no	—
770	C₂×D₄×C₅₃	—	4	8	no	—
771	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
772	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
773	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
774	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
775	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
776	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
777	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
778	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
779	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
780	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
781	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
782	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
783	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
784	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
785	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
786	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
787	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
788	C₂²×C₄×C₅₃	—	4	2	no	—
789	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
790	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
791	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
792	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
793	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
794	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
795	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
796	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
797	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
798	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
799	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
800	C₂×C₂²⋊D₅₃	—	2	8	no	—
801	C₂×C₂²⋊D₅₃	—	4	4	no	—
802	C₂×C₂²⋊D₅₃	—	4	8	no	—
803	C₂×C₂²⋊D₅₃	—	4	4	no	—
804	C₂×C₂²⋊D₅₃	—	4	4	no	—
805	C₂×C₂²⋊D₅₃	—	4	8	no	—
806	C₂×C₂²⋊D₅₃	—	4	8	no	—
807	C₂×C₂²⋊D₅₃	—	4	8	no	—
808	C₂×C₂²⋊D₅₃	—	4	4	no	—
809	C₂×C₂²⋊D₅₃	—	4	8	no	—
810	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
811	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
812	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
813	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
814	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
817	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
818	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
819	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
821	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
822	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
823	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
824	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
825	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
829	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
830	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
835	C₂²×Dic₅₃	—	4	2	no	—
836	C₂²×Dic₅₃	—	4	4	no	—
837	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
838	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
839	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
840	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
841	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
842	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
843	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
844	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
845	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
846	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
847	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
848	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
849	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
850	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
851	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
852	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
853	#11719949	—	4	2	no	—
854	Q₈×D₅₃	—	4	2	no	—
855	#11719947	—	2	8	no	—
856	#11719947	—	4	4	no	—
857	#11719947	—	4	4	no	—
858	#11719947	—	4	4	no	—
859	#11719947	—	4	8	no	—
860	#11719947	—	4	4	no	—
861	#11719947	—	4	2	no	—
862	#11719947	—	4	4	no	—
863	#11719947	—	4	8	no	—
864	#11719947	—	4	8	no	—
865	#11719947	—	4	8	no	—
866	#11719947	—	4	8	no	—
867	D₄×D₅₃	—	2	16	no	—
868	D₄×D₅₃	—	2	8	no	—
869	D₄×D₅₃	—	2	8	no	—
870	D₄×D₅₃	—	4	4	no	—
871	D₄×D₅₃	—	4	4	no	—
872	D₄×D₅₃	—	4	4	no	—
873	D₄×D₅₃	—	4	2	no	—
874	D₄×D₅₃	—	4	4	no	—
875	D₄×D₅₃	—	4	8	no	—
876	D₄×D₅₃	—	4	8	no	—
877	D₄×D₅₃	—	4	4	no	—
878	D₄×D₅₃	—	4	8	no	—
879	D₄×D₅₃	—	4	8	no	—
880	D₄×D₅₃	—	4	8	no	—
881	D₄×D₅₃	—	4	8	no	—
882	D₄×D₅₃	—	4	4	no	—
883	D₄×D₅₃	—	4	8	no	—
884	#11719945	—	2	8	no	—
885	#11719945	—	4	4	no	—
886	#11719945	—	4	2	no	—
887	#11719945	—	4	8	no	—
888	#11719945	—	4	8	no	—
889	C₂×D₂₁₂	—	4	2	no	—
890	C₂×D₂₁₂	—	4	4	no	—
891	C₂×D₂₁₂	C₂⁴	1	2	yes	—
892	C₂×D₂₁₂	C₂⁴	1	4	yes	—
893	C₂×D₂₁₂	C₂⁴	1	2	yes	—
894	C₂×D₂₁₂	C₂⁴	1	2	yes	—
895	C₂×D₂₁₂	C₂⁴	1	4	yes	—
896	C₂×D₂₁₂	C₂⁴	1	2	yes	—
897	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
898	C₂×D₂₁₂	C₂⁴	1	2	yes	—
899	C₂×D₂₁₂	C₂⁴	1	4	yes	—
900	C₂×C₄×D₅₃	—	2	4	no	—
901	C₂×C₄×D₅₃	—	2	4	no	—
902	C₂×C₄×D₅₃	—	2	4	no	—
903	C₂×C₄×D₅₃	—	4	2	no	—
904	C₂×C₄×D₅₃	—	4	2	no	—
905	C₂×C₄×D₅₃	—	4	2	no	—
906	C₂×C₄×D₅₃	—	4	2	no	—
907	C₂×C₄×D₅₃	—	4	2	no	—
908	C₂×C₄×D₅₃	—	4	2	no	—
909	C₂×C₄×D₅₃	—	4	4	no	—
910	C₂×C₄×D₅₃	—	4	2	no	—
911	C₂×C₄×D₅₃	—	4	2	no	—
912	C₂×C₄×D₅₃	—	4	2	no	—
913	C₂×C₄×D₅₃	—	4	4	no	—
914	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
915	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
916	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
917	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
918	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
919	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
920	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
921	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
922	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
923	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
924	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
925	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
926	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
927	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
928	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
929	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
930	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
931	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
932	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
933	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
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	4	yes	—
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×Dic₁₀₆	—	4	2	no	—
942	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
943	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
944	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
945	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
946	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
947	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
948	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
949	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
950	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
951	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
952	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
953	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
954	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
955	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
956	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
957	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
958	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
959	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
960	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
961	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
962	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
963	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
964	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
965	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
966	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
967	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
968	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
969	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
970	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
971	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
972	C₄²×C₅₃	C₂⁴	1	2	yes	—
973	C₄²×C₅₃	C₂⁴	1	4	yes	—
974	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
975	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
976	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
977	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
978	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
979	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
980	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
981	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
982	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
983	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
984	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
985	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
986	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
987	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
988	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
989	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
990	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
991	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
992	#11719921	C₂⁴	1	2	yes	—
993	#11719921	C₂⁴	1	2	yes	—
994	#11719921	C₂⁴	1	4	yes	—
995	#11719921	C₂⁴	1	4	yes	—
996	#11719921	C₂⁴	1	4	yes	—
997	#11719921	C₂⁴	1	4	yes	—
998	#11719921	C₂⁴	1	4	yes	—
999	#11719921	C₂⁴	1	2	yes	—
1000	#11719921	C₂⁴	1	4	yes	—
1001	#11719921	C₂⁴	1	4	yes	—
1002	#11719921	C₂⁴	1	2	yes	—
1003	#11719921	C₂⁴	1	4	yes	—
1004	#11719921	C₂⁴	1	2	yes	—
1005	#11719921	C₂⁴	1	2	yes	—
1006	#11719921	C₂⁴	1	2	yes	—
1007	#11719921	C₂⁴	1	2	yes	—
1008	#11719921	C₂⁴	1	2	yes	—
1009	#11719921	C₂⁴	1	2	yes	—
1010	#11719921	C₂⁴	1	4	yes	—
1011	#11719921	C₂⁴	1	4	yes	—
1012	#11719921	C₂⁴	1	4	yes	—
1013	#11719921	C₂⁴	1	4	yes	—
1014	#11719921	C₂⁴	1	4	yes	—
1015	#11719921	C₂⁴	1	4	yes	—
1016	#11719921	C₂⁴	1	4	yes	—
1017	#11719921	C₂⁴	1	4	yes	—
1018	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1019	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1020	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1021	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1022	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1023	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1024	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1025	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1026	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1027	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1028	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1029	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1030	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1031	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1032	#11719919	C₂⁴	1	4	yes	—
1033	#11719919	C₂⁴	1	4	yes	—
1034	#11719919	C₂⁴	1	2	yes	—
1035	#11719919	C₂⁴	1	2	yes	—
1036	#11719919	C₂⁴	1	2	yes	—
1037	#11719919	C₂⁴	1	2	yes	—
1038	#11719919	C₂⁴	1	4	yes	—
1039	#11719919	C₂⁴	1	2	yes	—
1040	#11719919	C₂⁴	1	2	yes	—
1041	#11719919	C₂⁴	1	4	yes	—
1042	#11719919	C₂⁴	1	4	yes	—
1043	#11719919	C₂⁴	1	4	yes	—
1044	#11719919	C₂⁴	1	4	yes	—
1045	#11719919	C₂⁴	1	4	yes	—
1046	#11719919	C₂⁴	1	4	yes	—
1047	#11719919	C₂⁴	1	4	yes	—
1048	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1049	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1050	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1051	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1052	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1053	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1054	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1055	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1056	C₂³×C₅₃	—	2	2	no	—
1057	C₂³×C₅₃	—	2	2	no	—
1058	C₂³×C₅₃	—	2	4	no	—
1059	C₂³×C₅₃	—	2	4	no	—
1060	C₂³×C₅₃	—	4	1	no	—
1061	C₂³×C₅₃	—	4	2	no	—
1062	C₂³×C₅₃	—	4	2	no	—
1063	C₂³×C₅₃	—	4	2	no	—
1064	C₂³×C₅₃	—	4	2	no	—
1065	C₂³×C₅₃	—	4	4	no	—
1066	C₂³×C₅₃	—	4	4	no	—
1067	C₂³×C₅₃	—	4	4	no	—
1068	C₂³×C₅₃	C₂⁵	1	4	yes	—
1069	C₂³×C₅₃	C₂⁵	1	2	yes	—
1070	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1071	C₂³×C₅₃	C₂⁵	1	4	yes	—
1072	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1073	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1074	C₂²×D₅₃	—	2	2	no	—
1075	C₂²×D₅₃	—	2	2	no	—
1076	C₂²×D₅₃	—	2	2	no	—
1077	C₂²×D₅₃	—	2	2	no	—
1078	C₂²×D₅₃	—	2	2	no	—
1079	C₂²×D₅₃	—	2	4	no	—
1080	C₂²×D₅₃	—	2	2	no	—
1081	C₂²×D₅₃	—	2	2	no	—
1082	C₂²×D₅₃	—	2	2	no	—
1083	C₂²×D₅₃	—	2	2	no	—
1084	C₂²×D₅₃	—	2	2	no	—
1085	C₂²×D₅₃	—	2	4	no	—
1086	C₂²×D₅₃	—	2	8	no	—
1087	C₂²×D₅₃	—	2	8	no	—
1088	C₂²×D₅₃	—	4	1	no	—
1089	C₂²×D₅₃	—	4	1	no	—
1090	C₂²×D₅₃	—	4	1	no	—
1091	C₂²×D₅₃	—	4	1	no	—
1092	C₂²×D₅₃	—	4	1	no	—
1093	C₂²×D₅₃	—	4	1	no	—
1094	C₂²×D₅₃	—	4	1	no	—
1095	C₂²×D₅₃	—	4	2	no	—
1096	C₂²×D₅₃	—	4	2	no	—
1097	C₂²×D₅₃	—	4	2	no	—
1098	C₂²×D₅₃	—	4	4	no	—
1099	C₂²×D₅₃	—	4	4	no	—
1100	C₂²×D₅₃	—	4	2	no	—
1101	C₂²×D₅₃	—	4	4	no	—
1102	C₂²×D₅₃	—	4	4	no	—
1103	C₂²×D₅₃	—	4	4	no	—
1104	C₂²×D₅₃	—	4	4	no	—
1105	C₂²×D₅₃	—	4	4	no	—
1106	C₂²×D₅₃	—	4	16	no	—
1107	C₂²×D₅₃	—	8	16	no	—
1108	C₂²×D₅₃	H(5,𝔽₂)	1	4	yes	complemented
1109	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1110	C₂²×D₅₃	C₂⁵	1	2	yes	—
1111	C₂²×D₅₃	C₂⁵	1	4	yes	—
1112	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1113	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1114	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1115	Q₈×C₅₃	—	4	1	no	—
1116	D₄×C₅₃	—	2	8	no	—
1117	D₄×C₅₃	—	2	4	no	—
1118	D₄×C₅₃	—	2	4	no	—
1119	D₄×C₅₃	—	2	8	no	—
1120	D₄×C₅₃	—	2	4	no	—
1121	D₄×C₅₃	—	2	4	no	—
1122	D₄×C₅₃	—	4	4	no	—
1123	D₄×C₅₃	—	4	2	no	—
1124	D₄×C₅₃	—	4	4	no	—
1125	D₄×C₅₃	—	4	4	no	—
1126	D₄×C₅₃	—	4	4	no	—
1127	D₄×C₅₃	—	4	2	no	—
1128	D₄×C₅₃	—	4	1	no	—
1129	D₄×C₅₃	—	4	2	no	—
1130	D₄×C₅₃	—	4	4	no	—
1131	D₄×C₅₃	—	4	4	no	—
1132	D₄×C₅₃	—	4	4	no	—
1133	C₂×C₄×C₅₃	—	2	2	no	—
1134	C₂×C₄×C₅₃	—	2	2	no	—
1135	C₂×C₄×C₅₃	—	2	2	no	—
1136	C₂×C₄×C₅₃	—	2	4	no	—
1137	C₂×C₄×C₅₃	—	4	1	no	—
1138	C₂×C₄×C₅₃	—	4	1	no	—
1139	C₂×C₄×C₅₃	—	4	1	no	—
1140	C₂×C₄×C₅₃	—	4	2	no	—
1141	C₂×C₄×C₅₃	—	4	4	no	—
1142	C₂×C₄×C₅₃	—	4	2	no	—
1143	C₂×C₄×C₅₃	—	4	4	no	—
1144	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1145	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1146	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1147	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1148	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1149	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1150	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1151	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1152	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1153	C₂²⋊D₅₃	—	2	8	no	—
1154	C₂²⋊D₅₃	—	2	4	no	—
1155	C₂²⋊D₅₃	—	2	4	no	—
1156	C₂²⋊D₅₃	—	2	4	no	—
1157	C₂²⋊D₅₃	—	2	8	no	—
1158	C₂²⋊D₅₃	—	2	8	no	—
1159	C₂²⋊D₅₃	—	2	8	no	—
1160	C₂²⋊D₅₃	—	2	4	no	—
1161	C₂²⋊D₅₃	—	2	8	no	—
1162	C₂²⋊D₅₃	—	2	4	no	—
1163	C₂²⋊D₅₃	—	2	8	no	—
1164	C₂²⋊D₅₃	—	4	2	no	—
1165	C₂²⋊D₅₃	—	4	4	no	—
1166	C₂²⋊D₅₃	—	4	4	no	—
1167	C₂²⋊D₅₃	—	4	4	no	—
1168	C₂²⋊D₅₃	—	4	4	no	—
1169	C₂²⋊D₅₃	—	4	4	no	—
1170	C₂²⋊D₅₃	—	4	4	no	—
1171	C₂²⋊D₅₃	—	4	4	no	—
1172	C₂²⋊D₅₃	—	4	4	no	—
1173	C₂²⋊D₅₃	—	4	4	no	—
1174	C₂²⋊D₅₃	—	4	4	no	—
1175	C₂²⋊D₅₃	—	4	4	no	—
1176	C₂²⋊D₅₃	—	4	2	no	—
1177	C₂²⋊D₅₃	—	4	4	no	—
1178	C₂×Dic₅₃	—	2	4	no	—
1179	C₂×Dic₅₃	—	2	2	no	—
1180	C₂×Dic₅₃	—	2	2	no	—
1181	C₂×Dic₅₃	—	2	2	no	—
1182	C₂×Dic₅₃	—	2	8	no	—
1183	C₂×Dic₅₃	—	4	2	no	—
1184	C₂×Dic₅₃	—	4	1	no	—
1185	C₂×Dic₅₃	—	4	1	no	—
1186	C₂×Dic₅₃	—	4	1	no	—
1187	C₂×Dic₅₃	—	4	2	no	—
1188	C₂×Dic₅₃	—	4	2	no	—
1189	C₂×Dic₅₃	—	4	4	no	—
1190	C₂×Dic₅₃	—	4	4	no	—
1191	C₂×Dic₅₃	—	4	4	no	—
1192	C₂×Dic₅₃	—	4	4	no	—
1193	C₂×Dic₅₃	—	4	4	no	—
1194	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1195	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1196	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1197	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1198	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1199	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1200	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1201	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1202	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1203	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1204	D₂₁₂	—	2	8	no	—
1205	D₂₁₂	—	2	4	no	—
1206	D₂₁₂	—	2	4	no	—
1207	D₂₁₂	—	2	4	no	—
1208	D₂₁₂	—	4	4	no	—
1209	D₂₁₂	—	4	2	no	—
1210	D₂₁₂	—	4	1	no	—
1211	D₂₁₂	—	4	4	no	—
1212	D₂₁₂	—	4	2	no	—
1213	C₄×D₅₃	—	2	2	no	—
1214	C₄×D₅₃	—	2	2	no	—
1215	C₄×D₅₃	—	2	2	no	—
1216	C₄×D₅₃	—	2	8	no	—
1217	C₄×D₅₃	—	2	4	no	—
1218	C₄×D₅₃	—	2	2	no	—
1219	C₄×D₅₃	—	2	2	no	—
1220	C₄×D₅₃	—	2	2	no	—
1221	C₄×D₅₃	—	2	4	no	—
1222	C₄×D₅₃	—	2	2	no	—
1223	C₄×D₅₃	—	2	2	no	—
1224	C₄×D₅₃	—	2	2	no	—
1225	C₄×D₅₃	—	4	1	no	—
1226	C₄×D₅₃	—	4	1	no	—
1227	C₄×D₅₃	—	4	1	no	—
1228	C₄×D₅₃	—	4	1	no	—
1229	C₄×D₅₃	—	4	1	no	—
1230	C₄×D₅₃	—	4	1	no	—
1231	C₄×D₅₃	—	4	4	no	—
1232	C₄×D₅₃	—	4	2	no	—
1233	C₄×D₅₃	—	4	2	no	—
1234	C₄×D₅₃	—	4	4	no	—
1235	C₄×D₅₃	—	4	4	no	—
1236	C₄×D₅₃	—	4	4	no	—
1237	C₄×D₅₃	—	4	2	no	—
1238	C₄×D₅₃	—	4	4	no	—
1239	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	complemented
1240	Dic₁₀₆	—	2	4	no	—
1241	Dic₁₀₆	—	2	4	no	—
1242	Dic₁₀₆	—	4	2	no	—
1243	Dic₁₀₆	—	4	4	no	—
1244	Dic₁₀₆	—	4	4	no	—
1245	Dic₁₀₆	—	4	1	no	—
1246	#62818	—	53	1	no	maximal, Sylow
1247	C₂²×C₅₃	—	2	1	no	—
1248	C₂²×C₅₃	—	2	1	no	—
1249	C₂²×C₅₃	—	2	1	no	—
1250	C₂²×C₅₃	—	2	1	no	—
1251	C₂²×C₅₃	—	2	4	no	—
1252	C₂²×C₅₃	—	2	1	no	—
1253	C₂²×C₅₃	—	2	2	no	—
1254	C₂²×C₅₃	—	2	2	no	—
1255	C₂²×C₅₃	—	2	4	no	—
1256	C₂²×C₅₃	—	2	4	no	—
1257	C₂²×C₅₃	—	2	4	no	—
1258	C₂²×C₅₃	—	2	1	no	—
1259	C₂²×C₅₃	—	2	2	no	—
1260	C₂²×C₅₃	—	2	4	no	—
1261	C₂²×C₅₃	—	2	4	no	—
1262	C₂²×C₅₃	—	2	1	no	—
1263	C₂²×C₅₃	—	4	4	no	—
1264	C₂²×C₅₃	—	8	4	no	—
1265	C₂²×C₅₃	—	8	4	no	—
1266	C₂²×C₅₃	—	16	4	no	—
1267	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1268	C₂²×C₅₃	#585	1	2	yes	—
1269	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1270	C₂×D₅₃	—	2	8	no	—
1271	C₂×D₅₃	—	2	1	no	—
1272	C₂×D₅₃	—	2	1	no	—
1273	C₂×D₅₃	—	2	1	no	—
1274	C₂×D₅₃	—	2	1	no	—
1275	C₂×D₅₃	—	2	1	no	—
1276	C₂×D₅₃	—	2	1	no	—
1277	C₂×D₅₃	—	2	1	no	—
1278	C₂×D₅₃	—	2	2	no	—
1279	C₂×D₅₃	—	2	2	no	—
1280	C₂×D₅₃	—	2	4	no	—
1281	C₂×D₅₃	—	2	4	no	—
1282	C₂×D₅₃	—	2	1	no	—
1283	C₂×D₅₃	—	2	4	no	—
1284	C₂×D₅₃	—	2	2	no	—
1285	C₂×D₅₃	—	2	1	no	—
1286	C₂×D₅₃	—	4	4	no	—
1287	C₂×D₅₃	—	4	4	no	—
1288	C₂×D₅₃	—	4	4	no	—
1289	C₂×D₅₃	—	4	4	no	—
1290	C₂×D₅₃	—	4	4	no	—
1291	C₂×D₅₃	—	8	4	no	—
1292	C₂×D₅₃	—	8	8	no	—
1293	C₂×D₅₃	—	8	8	no	—
1294	C₂×D₅₃	—	8	4	no	—
1295	C₂×D₅₃	—	16	4	no	—
1296	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1297	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1298	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1299	C₄×C₅₃	—	2	2	no	—
1300	C₄×C₅₃	—	2	1	no	—
1301	C₄×C₅₃	—	2	2	no	—
1302	C₄×C₅₃	—	2	1	no	—
1303	C₄×C₅₃	—	2	4	no	—
1304	C₄×C₅₃	—	2	1	no	—
1305	C₄×C₅₃	—	2	2	no	—
1306	C₄×C₅₃	—	2	4	no	—
1307	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1308	Dic₅₃	—	2	2	no	—
1309	Dic₅₃	—	2	4	no	—
1310	Dic₅₃	—	2	2	no	—
1311	Dic₅₃	—	2	4	no	—
1312	Dic₅₃	—	2	4	no	—
1313	Dic₅₃	—	2	1	no	—
1314	Dic₅₃	—	2	1	no	—
1315	Dic₅₃	—	2	1	no	—
1316	Dic₅₃	—	2	2	no	—
1317	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1318	#3542	—	53	4	no	—
1319	#3542	—	53	2	no	—
1320	#3542	—	53	2	no	—
1321	#3537	—	53	2	no	—
1322	#3537	—	53	1	no	—
1323	#3537	D₅₃	1	1	yes	characteristic, complemented
1324	#3536	—	53	2	no	—
1325	#3536	—	53	1	no	—
1326	#3536	—	53	1	no	—
1327	#3534	—	53	4	no	—
1328	#3534	—	53	2	no	—
1329	#3534	—	53	2	no	—
1330	#3519	—	53	2	no	—
1331	#3519	—	53	4	no	—
1332	#3519	—	53	2	no	—
1333	#3505	—	53	2	no	—
1334	#3505	—	53	2	no	—
1335	#3496	—	53	2	no	—
1336	#3496	—	53	2	no	—
1337	#3494	—	53	2	no	—
1338	#3494	—	53	2	no	—
1339	#3492	—	53	2	no	—
1340	#3490	—	53	2	no	—
1341	#3490	—	53	2	no	—
1342	#3488	—	53	2	no	—
1343	#3488	—	53	2	no	—
1344	#3484	—	53	2	no	—
1345	#3484	—	53	4	no	—
1346	C₂×#525	—	53	1	no	—
1347	C₂×#525	—	53	1	no	—
1348	C₂²×#121	—	53	1	no	—
1349	C₂×C₅₃	—	2	2	no	—
1350	C₂×C₅₃	—	2	2	no	—
1351	C₂×C₅₃	—	4	1	no	—
1352	C₂×C₅₃	—	4	4	no	—
1353	C₂×C₅₃	—	4	2	no	—
1354	C₂×C₅₃	—	4	4	no	—
1355	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1356	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1357	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1358	D₅₃	—	2	2	no	—
1359	D₅₃	—	2	2	no	—
1360	D₅₃	—	2	2	no	—
1361	D₅₃	—	4	1	no	—
1362	D₅₃	—	4	4	no	—
1363	D₅₃	—	4	2	no	—
1364	C₂×H(5,𝔽₂)	—	53	2	no	—
1365	C₂×H(5,𝔽₂)	—	53	4	no	—
1366	C₂²×#41	—	53	1	no	—
1367	C₂²×#41	—	53	1	no	—
1368	C₂³×D₄	—	53	1	no	—
1369	C₂³×D₄	—	53	2	no	—
1370	C₂⁴×C₄	—	53	1	no	—
1371	#562	—	53	4	no	—
1372	#562	—	53	4	no	—
1373	#562	—	53	4	no	—
1374	#562	—	53	4	no	—
1375	#560	—	53	4	no	—
1376	#560	—	53	4	no	—
1377	#560	—	53	4	no	—
1378	#560	C₂×D₅₃	1	4	yes	complemented
1379	#555	—	53	4	no	—
1380	#555	—	53	2	no	—
1381	#555	—	53	2	no	—
1382	#554	—	53	2	no	—
1383	#554	—	53	4	no	—
1384	#554	—	53	2	no	—
1385	#553	—	53	4	no	—
1386	#553	—	53	2	no	—
1387	#553	—	53	4	no	—
1388	#553	—	53	4	no	—
1389	#553	—	53	2	no	—
1390	#553	—	53	4	no	—
1391	#553	—	53	4	no	—
1392	#553	—	53	2	no	—
1393	#553	—	53	4	no	—
1394	#553	—	53	4	no	—
1395	#553	—	53	2	no	—
1396	#553	C₂×D₅₃	1	2	yes	complemented
1397	#553	C₂×D₅₃	1	2	yes	complemented
1398	#552	—	53	4	no	—
1399	#552	—	53	2	no	—
1400	#552	—	53	2	no	—
1401	#551	—	53	4	no	—
1402	#551	—	53	4	no	—
1403	#551	—	53	4	no	—
1404	#551	—	53	4	no	—
1405	#551	—	53	4	no	—
1406	#551	—	53	4	no	—
1407	#551	—	53	4	no	—
1408	#551	—	53	4	no	—
1409	#550	—	53	4	no	—
1410	#550	—	53	2	no	—
1411	#550	—	53	2	no	—
1412	#548	—	53	4	no	—
1413	#548	—	53	2	no	—
1414	#548	—	53	2	no	—
1415	#547	—	53	4	no	—
1416	#547	—	53	4	no	—
1417	#547	—	53	2	no	—
1418	#547	—	53	2	no	—
1419	#547	—	53	2	no	—
1420	#547	—	53	2	no	—
1421	#546	—	53	4	no	—
1422	#546	—	53	2	no	—
1423	#546	—	53	2	no	—
1424	#546	—	53	4	no	—
1425	#546	—	53	4	no	—
1426	#546	—	53	4	no	—
1427	#546	—	53	4	no	—
1428	#546	—	53	4	no	—
1429	#546	—	53	2	no	—
1430	#546	—	53	4	no	—
1431	#546	—	53	4	no	—
1432	#546	—	53	4	no	—
1433	#546	—	53	4	no	—
1434	#546	—	53	4	no	—
1435	#546	—	53	4	no	—
1436	#546	—	53	4	no	—
1437	#546	—	53	4	no	—
1438	#546	—	53	4	no	—
1439	#546	—	53	4	no	—
1440	#546	—	53	4	no	—
1441	#546	—	53	4	no	—
1442	#546	—	53	4	no	—
1443	#546	—	53	4	no	—
1444	#546	—	53	4	no	—
1445	#546	—	53	4	no	—
1446	#546	—	53	2	no	—
1447	#546	—	53	4	no	—
1448	#546	—	53	2	no	—
1449	#546	—	53	2	no	—
1450	D₄²	—	53	4	no	—
1451	D₄²	—	53	4	no	—
1452	D₄²	—	53	4	no	—
1453	D₄²	—	53	4	no	—
1454	D₄²	—	53	2	no	—
1455	D₄²	—	53	2	no	—
1456	D₄²	—	53	4	no	—
1457	D₄²	—	53	2	no	—
1458	D₄²	—	53	2	no	—
1459	D₄²	—	53	4	no	—
1460	D₄²	—	53	4	no	—
1461	D₄²	—	53	4	no	—
1462	D₄²	—	53	4	no	—
1463	D₄²	—	53	4	no	—
1464	D₄²	C₂×D₅₃	1	2	yes	complemented
1465	D₄²	C₂×D₅₃	1	4	yes	complemented
1466	D₄²	C₂×D₅₃	1	2	yes	complemented
1467	#544	—	53	2	no	—
1468	#543	—	53	2	no	—
1469	#543	—	53	2	no	—
1470	#542	—	53	4	no	—
1471	#542	—	53	2	no	—
1472	#542	—	53	2	no	—
1473	#540	—	53	4	no	—
1474	#540	—	53	4	no	—
1475	#540	—	53	4	no	—
1476	#540	—	53	2	no	—
1477	#540	—	53	4	no	—
1478	#540	—	53	4	no	—
1479	#540	C₂×D₅₃	1	2	yes	complemented
1480	#539	—	53	4	no	—
1481	#539	—	53	4	no	—
1482	#539	—	53	4	no	—
1483	#539	—	53	2	no	—
1484	#539	—	53	2	no	—
1485	#538	—	53	4	no	—
1486	#538	—	53	4	no	—
1487	#538	—	53	4	no	—
1488	#538	—	53	2	no	—
1489	#538	—	53	2	no	—
1490	#538	—	53	4	no	—
1491	#538	—	53	4	no	—
1492	#538	—	53	4	no	—
1493	#538	—	53	4	no	—
1494	#538	—	53	2	no	—
1495	#538	—	53	2	no	—
1496	#538	C₂×D₅₃	1	2	yes	complemented
1497	#538	C₂×D₅₃	1	2	yes	complemented
1498	#537	—	53	2	no	—
1499	#537	—	53	2	no	—
1500	#537	—	53	2	no	—
1501	#537	—	53	2	no	—
1502	#537	—	53	4	no	—
1503	#537	—	53	2	no	—
1504	#537	—	53	4	no	—
1505	#535	—	53	2	no	—
1506	#535	—	53	4	no	—
1507	#535	—	53	2	no	—
1508	#535	—	53	4	no	—
1509	#535	—	53	2	no	—
1510	#535	—	53	4	no	—
1511	#535	C₂×D₅₃	1	2	yes	complemented
1512	#534	—	53	2	no	—
1513	#534	—	53	4	no	—
1514	#534	—	53	4	no	—
1515	#534	—	53	4	no	—
1516	#534	—	53	4	no	—
1517	#534	—	53	4	no	—
1518	#534	—	53	4	no	—
1519	#534	—	53	4	no	—
1520	#534	—	53	2	no	—
1521	#534	C₂×D₅₃	1	2	yes	complemented
1522	#534	C₂×D₅₃	1	2	yes	complemented
1523	#532	—	53	2	no	—
1524	#532	—	53	4	no	—
1525	#532	—	53	2	no	—
1526	#529	—	53	2	no	—
1527	#529	—	53	4	no	—
1528	#529	—	53	2	no	—
1529	#525	—	53	1	no	—
1530	#525	—	53	1	no	—
1531	#525	—	53	2	no	—
1532	#525	—	53	1	no	—
1533	#525	—	53	1	no	—
1534	#525	—	53	2	no	—
1535	#525	—	53	1	no	—
1536	#525	—	53	2	no	—
1537	#525	—	53	2	no	—
1538	#525	—	53	2	no	—
1539	#525	—	53	4	no	—
1540	#525	—	53	2	no	—
1541	#525	—	53	2	no	—
1542	#525	—	53	1	no	—
1543	#525	—	53	2	no	—
1544	#525	—	53	2	no	—
1545	#525	—	53	2	no	—
1546	#525	—	53	2	no	—
1547	#525	—	53	4	no	—
1548	#525	—	53	2	no	—
1549	#525	—	53	4	no	—
1550	#525	—	53	2	no	—
1551	#525	—	53	1	no	—
1552	#525	—	53	2	no	—
1553	#525	C₂×D₅₃	1	1	yes	characteristic, complemented
1554	C₂×#123	—	53	2	no	—
1555	C₂×#123	—	53	2	no	—
1556	C₂×C₂²⋊Q₈	—	53	1	no	—
1557	C₂×C₂²⋊Q₈	—	53	1	no	—
1558	C₂×C₂²⋊Q₈	—	53	1	no	—
1559	C₂×C₂²⋊Q₈	—	53	1	no	—
1560	C₂×#121	—	53	1	no	—
1561	C₂×#121	—	53	2	no	—
1562	C₂×#121	—	53	1	no	—
1563	C₂×#121	—	53	2	no	—
1564	C₂×#121	—	53	4	no	—
1565	C₂×#121	—	53	1	no	—
1566	C₂×#121	—	53	2	no	—
1567	C₂×#121	—	53	2	no	—
1568	C₂×#121	—	53	2	no	—
1569	C₂×#121	—	53	2	no	—
1570	C₂×#121	—	53	2	no	—
1571	C₂×#121	—	53	2	no	—
1572	C₂×#121	—	53	2	no	—
1573	C₂×#121	—	53	2	no	—
1574	C₂×#121	—	53	1	no	—
1575	C₂×#121	—	53	1	no	—
1576	C₂×#121	—	53	2	no	—
1577	C₂×#121	—	53	1	no	—
1578	C₂×#121	—	53	2	no	—
1579	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1580	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1581	C₂×#120	—	53	2	no	—
1582	C₂×#120	—	53	4	no	—
1583	C₂×#120	—	53	2	no	—
1584	C₂×#120	—	53	4	no	—
1585	#520	—	53	2	no	—
1586	#520	—	53	2	no	—
1587	#518	—	53	4	no	—
1588	#518	—	53	4	no	—
1589	#518	—	53	2	no	—
1590	#518	—	53	4	no	—
1591	C₂×C₄×D₄	—	53	2	no	—
1592	C₂×C₄×D₄	—	53	2	no	—
1593	C₂×C₄×D₄	—	53	2	no	—
1594	C₂×C₄×D₄	—	53	2	no	—
1595	C₂×#117	—	53	1	no	—
1596	C₂×#117	—	53	1	no	—
1597	C₂²×C₄⋊C₄	—	53	1	no	—
1598	C₂²×C₂²⋊C₄	—	53	2	no	—
1599	C₅₃	#62818	1	1	yes	characteristic, complemented, Sylow
1600	C₂⁵	—	53	1	no	—
1601	C₂⁵	—	53	2	no	—
1602	H(5,𝔽₂)	—	212	16	no	—
1603	H(5,𝔽₂)	—	212	8	no	—
1604	C₂×#41	—	53	1	no	—
1605	C₂×#41	—	53	2	no	—
1606	C₂×#41	—	53	2	no	—
1607	C₂×#41	—	53	2	no	—
1608	C₂×#41	—	53	1	no	—
1609	C₂×#41	—	53	2	no	—
1610	C₂×#41	—	53	2	no	—
1611	C₂×#41	—	53	4	no	—
1612	C₂×#41	—	53	4	no	—
1613	C₂×#41	—	53	2	no	—
1614	C₂×#41	—	53	4	no	—
1615	C₂×#41	—	53	4	no	—
1616	C₂×#41	—	53	4	no	—
1617	C₂×#41	—	53	2	no	—
1618	C₂×#41	—	53	1	no	—
1619	C₂×#41	—	53	4	no	—
1620	C₂×#41	—	53	2	no	—
1621	C₂×#41	—	53	4	no	—
1622	C₂×#41	—	212	4	no	—
1623	C₂×#41	—	212	4	no	—
1624	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic, complemented
1625	C₂²×Q₈	—	53	1	no	—
1626	C₂²×Q₈	—	53	1	no	—
1627	C₂²×D₄	—	53	2	no	—
1628	C₂²×D₄	—	53	2	no	—
1629	C₂²×D₄	—	53	4	no	—
1630	C₂²×D₄	—	53	4	no	—
1631	C₂²×D₄	—	53	2	no	—
1632	C₂²×D₄	—	53	2	no	—
1633	C₂²×D₄	—	53	2	no	—
1634	C₂²×D₄	—	53	4	no	—
1635	C₂²×D₄	—	53	4	no	—
1636	C₂²×D₄	—	53	4	no	—
1637	C₂²×D₄	—	53	2	no	—
1638	C₂²×D₄	—	53	4	no	—
1639	C₂²×D₄	—	53	2	no	—
1640	C₂²×D₄	—	53	2	no	—
1641	C₂²×D₄	—	53	4	no	—
1642	C₂²×D₄	—	53	2	no	—
1643	C₂²×D₄	—	53	4	no	—
1644	C₂²×D₄	—	53	4	no	—
1645	C₂²×D₄	—	53	2	no	—
1646	C₂²×D₄	—	53	4	no	—
1647	C₂²×D₄	—	53	1	no	—
1648	C₂²×D₄	—	53	2	no	—
1649	C₂²×D₄	—	53	2	no	—
1650	C₂²×D₄	—	53	4	no	—
1651	C₂²×D₄	—	53	4	no	—
1652	C₂²×D₄	—	53	4	no	—
1653	C₂²×D₄	—	53	2	no	—
1654	C₂²×D₄	—	53	1	no	—
1655	C₂²×D₄	—	53	2	no	—
1656	C₂²×D₄	—	212	4	no	—
1657	C₂²×D₄	—	212	8	no	—
1658	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1659	C₂²×D₄	C₂²×D₅₃	1	4	yes	—
1660	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1661	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1662	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1663	C₂²×D₄	C₂²×D₅₃	1	4	yes	complemented
1664	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1665	C₂³×C₄	—	53	1	no	—
1666	C₂³×C₄	—	53	2	no	—
1667	C₂³×C₄	—	53	1	no	—
1668	C₂³×C₄	—	53	1	no	—
1669	C₂³×C₄	—	53	1	no	—
1670	C₂³×C₄	—	53	1	no	—
1671	C₂³×C₄	—	53	2	no	—
1672	C₂³×C₄	—	53	1	no	—
1673	C₂³×C₄	—	53	1	no	—
1674	C₂³×C₄	—	53	1	no	—
1675	C₂³×C₄	—	53	2	no	—
1676	C₂³×C₄	—	53	1	no	—
1677	C₂³×C₄	—	53	1	no	—
1678	C₂³×C₄	—	53	1	no	—
1679	C₂³×C₄	—	53	1	no	—
1680	C₂³×C₄	—	53	1	no	—
1681	C₂³×C₄	—	212	4	no	—
1682	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1683	C₄⋊Q₈	—	53	4	no	—
1684	C₄⋊Q₈	—	53	2	no	—
1685	C₄⋊Q₈	—	53	2	no	—
1686	#127	—	53	4	no	—
1687	#127	—	53	2	no	—
1688	#127	—	53	4	no	—
1689	#127	—	53	4	no	—
1690	#127	—	53	4	no	—
1691	#127	C₂²×D₅₃	1	2	yes	complemented
1692	#127	C₂²×D₅₃	1	4	yes	complemented
1693	#126	—	53	4	no	—
1694	#126	—	53	4	no	—
1695	#126	—	53	4	no	—
1696	#126	—	53	4	no	—
1697	#126	—	53	4	no	—
1698	#126	—	53	4	no	—
1699	#126	—	53	4	no	—
1700	#126	—	53	4	no	—
1701	#126	—	53	4	no	—
1702	#126	—	53	4	no	—
1703	#126	C₂²×D₅₃	1	4	yes	complemented
1704	#126	C₂²×D₅₃	1	4	yes	complemented
1705	#125	—	53	4	no	—
1706	#125	—	53	2	no	—
1707	#125	—	53	4	no	—
1708	#125	—	53	4	no	—
1709	#125	—	53	4	no	—
1710	#125	—	53	4	no	—
1711	#125	C₂²×D₅₃	1	2	yes	complemented
1712	#124	—	53	2	no	—
1713	#124	—	53	4	no	—
1714	#124	—	53	4	no	—
1715	#124	—	53	4	no	—
1716	#124	—	53	4	no	—
1717	#124	—	53	4	no	—
1718	#124	—	53	4	no	—
1719	#124	—	53	4	no	—
1720	#124	—	53	4	no	—
1721	#124	—	53	4	no	—
1722	#124	—	53	4	no	—
1723	#124	—	53	4	no	—
1724	#124	—	53	2	no	—
1725	#124	—	53	4	no	—
1726	#124	C₂²×D₅₃	1	4	yes	complemented
1727	#123	—	53	2	no	—
1728	#123	—	53	4	no	—
1729	#123	—	53	4	no	—
1730	#123	—	53	4	no	—
1731	#123	—	53	4	no	—
1732	#123	—	53	4	no	—
1733	#123	—	53	2	no	—
1734	#123	—	53	2	no	—
1735	#123	—	53	2	no	—
1736	#123	—	53	4	no	—
1737	#123	—	53	4	no	—
1738	#123	—	53	4	no	—
1739	#123	—	53	4	no	—
1740	#123	—	53	4	no	—
1741	#123	—	53	4	no	—
1742	#123	—	53	2	no	—
1743	#123	—	53	4	no	—
1744	#123	—	53	2	no	—
1745	#123	—	53	2	no	—
1746	#123	—	53	4	no	—
1747	#123	—	53	4	no	—
1748	#123	—	53	4	no	—
1749	#123	—	53	4	no	—
1750	#123	—	53	4	no	—
1751	#123	—	53	4	no	—
1752	#123	—	53	4	no	—
1753	#123	—	53	4	no	—
1754	#123	—	53	4	no	—
1755	#123	—	53	4	no	—
1756	#123	—	53	4	no	—
1757	#123	—	53	4	no	—
1758	#123	—	53	4	no	—
1759	#123	—	53	4	no	—
1760	#123	—	53	4	no	—
1761	#123	—	53	4	no	—
1762	#123	—	53	4	no	—
1763	#123	—	53	4	no	—
1764	#123	—	53	4	no	—
1765	#123	—	53	4	no	—
1766	#123	C₂²×D₅₃	1	2	yes	complemented
1767	#123	C₂²×D₅₃	1	4	yes	complemented
1768	#123	C₂²×D₅₃	1	4	yes	complemented
1769	#123	C₂²×D₅₃	1	4	yes	complemented
1770	#123	C₂²×D₅₃	1	4	yes	complemented
1771	C₂²⋊Q₈	—	53	1	no	—
1772	C₂²⋊Q₈	—	53	1	no	—
1773	C₂²⋊Q₈	—	53	4	no	—
1774	C₂²⋊Q₈	—	53	2	no	—
1775	C₂²⋊Q₈	—	53	1	no	—
1776	C₂²⋊Q₈	—	53	2	no	—
1777	C₂²⋊Q₈	—	53	1	no	—
1778	C₂²⋊Q₈	—	53	2	no	—
1779	C₂²⋊Q₈	—	53	2	no	—
1780	C₂²⋊Q₈	—	53	2	no	—
1781	C₂²⋊Q₈	—	53	4	no	—
1782	C₂²⋊Q₈	—	53	4	no	—
1783	C₂²⋊Q₈	—	53	2	no	—
1784	C₂²⋊Q₈	—	53	2	no	—
1785	C₂²⋊Q₈	—	53	2	no	—
1786	C₂²⋊Q₈	—	53	2	no	—
1787	C₂²⋊Q₈	—	53	2	no	—
1788	C₂²⋊Q₈	—	53	1	no	—
1789	C₂²⋊Q₈	—	53	2	no	—
1790	C₂²⋊Q₈	—	53	1	no	—
1791	C₂²⋊Q₈	—	53	2	no	—
1792	C₂²⋊Q₈	—	53	4	no	—
1793	C₂²⋊Q₈	—	53	4	no	—
1794	C₂²⋊Q₈	—	53	4	no	—
1795	C₂²⋊Q₈	—	53	4	no	—
1796	C₂²⋊Q₈	—	53	4	no	—
1797	C₂²⋊Q₈	—	53	4	no	—
1798	C₂²⋊Q₈	—	53	2	no	—
1799	C₂²⋊Q₈	—	53	2	no	—
1800	C₂²⋊Q₈	—	53	4	no	—
1801	C₂²⋊Q₈	—	53	4	no	—
1802	C₂²⋊Q₈	—	53	4	no	—
1803	C₂²⋊Q₈	—	53	4	no	—
1804	C₂²⋊Q₈	—	53	4	no	—
1805	C₂²⋊Q₈	—	53	4	no	—
1806	C₂²⋊Q₈	—	53	4	no	—
1807	C₂²⋊Q₈	—	53	4	no	—
1808	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1809	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1810	#121	—	53	2	no	—
1811	#121	—	53	4	no	—
1812	#121	—	53	2	no	—
1813	#121	—	53	2	no	—
1814	#121	—	53	2	no	—
1815	#121	—	53	4	no	—
1816	#121	—	53	2	no	—
1817	#121	—	53	4	no	—
1818	#121	—	53	2	no	—
1819	#121	—	53	4	no	—
1820	#121	—	53	2	no	—
1821	#121	—	53	2	no	—
1822	#121	—	53	2	no	—
1823	#121	—	53	2	no	—
1824	#121	—	53	1	no	—
1825	#121	—	53	1	no	—
1826	#121	—	53	4	no	—
1827	#121	—	53	4	no	—
1828	#121	—	53	4	no	—
1829	#121	—	53	2	no	—
1830	#121	—	53	4	no	—
1831	#121	—	53	2	no	—
1832	#121	—	53	4	no	—
1833	#121	—	53	4	no	—
1834	#121	—	53	4	no	—
1835	#121	—	53	4	no	—
1836	#121	—	53	4	no	—
1837	#121	—	53	4	no	—
1838	#121	—	53	4	no	—
1839	#121	—	53	4	no	—
1840	#121	—	53	4	no	—
1841	#121	—	53	4	no	—
1842	#121	—	53	4	no	—
1843	#121	—	53	4	no	—
1844	#121	—	53	4	no	—
1845	#121	—	53	4	no	—
1846	#121	—	53	4	no	—
1847	#121	—	53	4	no	—
1848	#121	—	53	4	no	—
1849	#121	—	53	4	no	—
1850	#121	—	53	4	no	—
1851	#121	—	53	4	no	—
1852	#121	—	53	4	no	—
1853	#121	—	53	4	no	—
1854	#121	—	53	4	no	—
1855	#121	—	53	4	no	—
1856	#121	—	53	2	no	—
1857	#121	—	53	2	no	—
1858	#121	—	53	2	no	—
1859	#121	—	53	2	no	—
1860	#121	—	53	1	no	—
1861	#121	—	53	1	no	—
1862	#121	—	53	2	no	—
1863	#121	—	53	4	no	—
1864	#121	—	53	4	no	—
1865	#121	—	53	4	no	—
1866	#121	—	53	4	no	—
1867	#121	—	53	2	no	—
1868	#121	—	53	2	no	—
1869	#121	—	53	2	no	—
1870	#121	—	53	2	no	—
1871	#121	—	53	1	no	—
1872	#121	—	53	1	no	—
1873	#121	—	53	2	no	—
1874	#121	—	53	4	no	—
1875	#121	—	53	4	no	—
1876	#121	—	53	4	no	—
1877	#121	—	53	4	no	—
1878	#121	—	53	4	no	—
1879	#121	—	53	2	no	—
1880	#121	—	53	2	no	—
1881	#121	—	53	4	no	—
1882	#121	—	53	4	no	—
1883	#121	—	53	4	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	C₂²×D₅₃	1	2	yes	—
1890	#121	C₂²×D₅₃	1	2	yes	—
1891	#121	C₂²×D₅₃	1	2	yes	—
1892	#121	C₂²×D₅₃	1	2	yes	—
1893	#121	C₂²×D₅₃	1	1	yes	characteristic
1894	#121	C₂²×D₅₃	1	2	yes	—
1895	#121	C₂²×D₅₃	1	2	yes	—
1896	#121	C₂²×D₅₃	1	4	yes	—
1897	#121	C₂²×D₅₃	1	1	yes	characteristic, complemented
1898	#121	C₂²×D₅₃	1	2	yes	complemented
1899	#121	C₂²×D₅₃	1	2	yes	complemented
1900	#121	C₂²×D₅₃	1	2	yes	complemented
1901	#121	C₂²×D₅₃	1	2	yes	complemented
1902	#121	C₂²×D₅₃	1	4	yes	complemented
1903	#121	C₂²×D₅₃	1	4	yes	complemented
1904	#121	C₂²×D₅₃	1	4	yes	complemented
1905	#121	C₂²×D₅₃	1	4	yes	complemented
1906	#121	C₂²×D₅₃	1	4	yes	complemented
1907	#120	—	53	2	no	—
1908	#120	—	53	4	no	—
1909	#120	—	53	4	no	—
1910	#120	—	53	4	no	—
1911	#120	—	53	4	no	—
1912	#120	—	53	4	no	—
1913	#120	—	53	2	no	—
1914	#120	—	53	2	no	—
1915	#120	—	53	4	no	—
1916	#120	—	53	4	no	—
1917	#120	—	53	2	no	—
1918	#120	—	53	4	no	—
1919	#120	—	53	4	no	—
1920	#120	—	53	4	no	—
1921	#120	—	53	4	no	—
1922	#120	—	53	4	no	—
1923	#120	—	53	4	no	—
1924	#120	—	53	4	no	—
1925	#120	—	53	4	no	—
1926	#120	—	53	4	no	—
1927	#120	—	53	4	no	—
1928	#120	—	53	4	no	—
1929	#120	—	53	4	no	—
1930	#120	—	53	4	no	—
1931	#120	—	53	2	no	—
1932	#120	—	53	2	no	—
1933	#120	—	53	2	no	—
1934	#120	—	53	4	no	—
1935	#120	—	53	4	no	—
1936	#120	—	53	4	no	—
1937	#120	—	53	4	no	—
1938	#120	—	53	4	no	—
1939	#120	—	53	4	no	—
1940	#120	C₂²×D₅₃	1	2	yes	—
1941	#120	C₂²×D₅₃	1	4	yes	—
1942	#120	C₂²×D₅₃	1	4	yes	complemented
1943	#120	C₂²×D₅₃	1	4	yes	complemented
1944	#120	C₂²×D₅₃	1	4	yes	complemented
1945	#120	C₂²×D₅₃	1	4	yes	complemented
1946	#120	C₂²×D₅₃	1	4	yes	complemented
1947	C₄×Q₈	—	53	2	no	—
1948	C₄×Q₈	—	53	4	no	—
1949	C₄×Q₈	—	53	2	no	—
1950	C₄×D₄	—	53	4	no	—
1951	C₄×D₄	—	53	2	no	—
1952	C₄×D₄	—	53	4	no	—
1953	C₄×D₄	—	53	4	no	—
1954	C₄×D₄	—	53	2	no	—
1955	C₄×D₄	—	53	4	no	—
1956	C₄×D₄	—	53	4	no	—
1957	C₄×D₄	—	53	4	no	—
1958	C₄×D₄	—	53	4	no	—
1959	C₄×D₄	—	53	4	no	—
1960	C₄×D₄	—	53	4	no	—
1961	C₄×D₄	—	53	4	no	—
1962	C₄×D₄	—	53	4	no	—
1963	C₄×D₄	—	53	2	no	—
1964	C₄×D₄	—	53	2	no	—
1965	C₄×D₄	—	53	2	no	—
1966	C₄×D₄	—	53	2	no	—
1967	C₄×D₄	—	53	2	no	—
1968	C₄×D₄	—	53	2	no	—
1969	C₄×D₄	—	53	4	no	—
1970	C₄×D₄	—	53	4	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	2	no	—
1976	C₄×D₄	—	53	2	no	—
1977	C₄×D₄	—	53	4	no	—
1978	C₄×D₄	—	53	2	no	—
1979	C₄×D₄	—	53	4	no	—
1980	C₄×D₄	—	53	2	no	—
1981	C₄×D₄	—	53	2	no	—
1982	C₄×D₄	—	53	4	no	—
1983	C₄×D₄	—	53	4	no	—
1984	C₄×D₄	—	53	2	no	—
1985	C₄×D₄	—	53	4	no	—
1986	C₄×D₄	—	53	4	no	—
1987	C₄×D₄	—	53	2	no	—
1988	C₄×D₄	—	53	4	no	—
1989	C₄×D₄	—	53	4	no	—
1990	C₄×D₄	—	53	4	no	—
1991	C₄×D₄	—	53	4	no	—
1992	C₄×D₄	—	53	4	no	—
1993	C₄×D₄	—	53	4	no	—
1994	C₄×D₄	—	53	4	no	—
1995	C₄×D₄	—	53	2	no	—
1996	C₄×D₄	—	53	2	no	—
1997	C₄×D₄	—	53	4	no	—
1998	C₄×D₄	—	53	4	no	—
1999	C₄×D₄	—	53	2	no	—
2000	C₄×D₄	—	53	4	no	—
2001	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2002	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2003	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2004	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2005	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2006	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2007	#117	—	53	1	no	—
2008	#117	—	53	4	no	—
2009	#117	—	53	4	no	—
2010	#117	—	53	2	no	—
2011	#117	—	53	2	no	—
2012	#117	—	53	1	no	—
2013	#117	—	53	2	no	—
2014	#117	—	53	1	no	—
2015	#117	—	53	2	no	—
2016	#117	—	53	4	no	—
2017	#117	—	53	4	no	—
2018	#117	—	53	2	no	—
2019	#117	—	53	2	no	—
2020	#117	—	53	4	no	—
2021	#117	—	53	2	no	—
2022	#117	—	53	4	no	—
2023	#117	—	53	4	no	—
2024	#117	C₂²×D₅₃	1	1	yes	characteristic, complemented
2025	#117	C₂²×D₅₃	1	2	yes	complemented
2026	C₂×C₄⋊C₄	—	53	2	no	—
2027	C₂×C₄⋊C₄	—	53	1	no	—
2028	C₂×C₄⋊C₄	—	53	1	no	—
2029	C₂×C₄⋊C₄	—	53	2	no	—
2030	C₂×C₄⋊C₄	—	53	2	no	—
2031	C₂×C₄⋊C₄	—	53	4	no	—
2032	C₂×C₄⋊C₄	—	53	2	no	—
2033	C₂×C₄⋊C₄	—	53	2	no	—
2034	C₂×C₄⋊C₄	—	53	2	no	—
2035	C₂×C₄⋊C₄	—	53	2	no	—
2036	C₂×C₄⋊C₄	—	53	2	no	—
2037	C₂×C₄⋊C₄	—	53	1	no	—
2038	C₂×C₄⋊C₄	—	53	1	no	—
2039	C₂×C₄⋊C₄	—	53	2	no	—
2040	C₂×C₄⋊C₄	—	53	2	no	—
2041	C₂×C₄⋊C₄	—	53	2	no	—
2042	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2043	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2044	C₂×C₂²⋊C₄	—	53	2	no	—
2045	C₂×C₂²⋊C₄	—	53	2	no	—
2046	C₂×C₂²⋊C₄	—	53	2	no	—
2047	C₂×C₂²⋊C₄	—	53	4	no	—
2048	C₂×C₂²⋊C₄	—	53	4	no	—
2049	C₂×C₂²⋊C₄	—	53	4	no	—
2050	C₂×C₂²⋊C₄	—	53	2	no	—
2051	C₂×C₂²⋊C₄	—	53	2	no	—
2052	C₂×C₂²⋊C₄	—	53	2	no	—
2053	C₂×C₂²⋊C₄	—	53	2	no	—
2054	C₂×C₂²⋊C₄	—	53	4	no	—
2055	C₂×C₂²⋊C₄	—	53	4	no	—
2056	C₂×C₂²⋊C₄	—	53	4	no	—
2057	C₂×C₂²⋊C₄	—	53	4	no	—
2058	C₂×C₂²⋊C₄	—	53	4	no	—
2059	C₂×C₂²⋊C₄	—	53	4	no	—
2060	C₂×C₂²⋊C₄	—	53	4	no	—
2061	C₂×C₂²⋊C₄	—	53	2	no	—
2062	C₂×C₂²⋊C₄	—	53	2	no	—
2063	C₂×C₂²⋊C₄	—	53	2	no	—
2064	C₂×C₂²⋊C₄	—	53	2	no	—
2065	C₂×C₂²⋊C₄	—	53	2	no	—
2066	C₂×C₂²⋊C₄	—	53	4	no	—
2067	C₂×C₂²⋊C₄	—	53	4	no	—
2068	C₂×C₂²⋊C₄	—	53	4	no	—
2069	C₂×C₂²⋊C₄	—	53	4	no	—
2070	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2071	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2072	C₂×C₄²	—	53	2	no	—
2073	C₂×C₄²	—	53	2	no	—
2074	C₂⁴	—	53	1	no	—
2075	C₂⁴	—	53	1	no	—
2076	C₂⁴	—	53	1	no	—
2077	C₂⁴	—	53	1	no	—
2078	C₂⁴	—	53	1	no	—
2079	C₂⁴	—	53	4	no	—
2080	C₂⁴	—	53	4	no	—
2081	C₂⁴	—	53	2	no	—
2082	C₂⁴	—	53	2	no	—
2083	C₂⁴	—	53	1	no	—
2084	C₂⁴	—	53	4	no	—
2085	C₂⁴	—	106	4	no	—
2086	C₂⁴	—	212	4	no	—
2087	C₂⁴	—	212	2	no	—
2088	C₂⁴	—	212	4	no	—
2089	C₂⁴	—	212	4	no	—
2090	C₂⁴	—	212	2	no	—
2091	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2092	C₂⁴	C₂³×D₅₃	1	2	yes	—
2093	C₂⁴	C₂³×D₅₃	1	2	yes	—
2094	C₂⁴	C₂³×D₅₃	1	4	yes	—
2095	#41	—	4	2	no	—
2096	#41	—	106	8	no	—
2097	#41	—	106	8	no	—
2098	#41	—	212	2	no	—
2099	#41	—	212	4	no	—
2100	#41	—	212	8	no	—
2101	#41	—	212	8	no	—
2102	#41	—	212	4	no	—
2103	#41	—	212	8	no	—
2104	#41	—	212	8	no	—
2105	#41	—	212	4	no	—
2106	#41	—	212	4	no	—
2107	#41	—	212	4	no	—
2108	#41	—	212	2	no	—
2109	#41	—	212	8	no	—
2110	#41	—	212	8	no	—
2111	#41	—	212	4	no	—
2112	#41	—	212	8	no	—
2113	#41	—	212	2	no	—
2114	C₂×Q₈	—	53	2	no	—
2115	C₂×Q₈	—	53	2	no	—
2116	C₂×Q₈	—	53	2	no	—
2117	C₂×Q₈	—	53	1	no	—
2118	C₂×Q₈	—	53	4	no	—
2119	C₂×Q₈	—	53	4	no	—
2120	C₂×Q₈	—	212	2	no	—
2121	C₂×Q₈	—	212	2	no	—
2122	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2123	C₂×D₄	—	4	2	no	—
2124	C₂×D₄	—	4	2	no	—
2125	C₂×D₄	—	4	4	no	—
2126	C₂×D₄	—	4	4	no	—
2127	C₂×D₄	—	4	4	no	—
2128	C₂×D₄	—	4	8	no	—
2129	C₂×D₄	—	4	8	no	—
2130	C₂×D₄	—	53	2	no	—
2131	C₂×D₄	—	53	4	no	—
2132	C₂×D₄	—	53	2	no	—
2133	C₂×D₄	—	53	2	no	—
2134	C₂×D₄	—	53	4	no	—
2135	C₂×D₄	—	53	4	no	—
2136	C₂×D₄	—	53	2	no	—
2137	C₂×D₄	—	53	4	no	—
2138	C₂×D₄	—	53	4	no	—
2139	C₂×D₄	—	53	4	no	—
2140	C₂×D₄	—	53	2	no	—
2141	C₂×D₄	—	53	4	no	—
2142	C₂×D₄	—	53	2	no	—
2143	C₂×D₄	—	53	2	no	—
2144	C₂×D₄	—	53	4	no	—
2145	C₂×D₄	—	53	4	no	—
2146	C₂×D₄	—	53	4	no	—
2147	C₂×D₄	—	53	4	no	—
2148	C₂×D₄	—	53	4	no	—
2149	C₂×D₄	—	53	4	no	—
2150	C₂×D₄	—	53	4	no	—
2151	C₂×D₄	—	53	4	no	—
2152	C₂×D₄	—	53	4	no	—
2153	C₂×D₄	—	53	4	no	—
2154	C₂×D₄	—	53	4	no	—
2155	C₂×D₄	—	53	2	no	—
2156	C₂×D₄	—	53	2	no	—
2157	C₂×D₄	—	53	4	no	—
2158	C₂×D₄	—	53	2	no	—
2159	C₂×D₄	—	53	4	no	—
2160	C₂×D₄	—	53	2	no	—
2161	C₂×D₄	—	53	1	no	—
2162	C₂×D₄	—	53	2	no	—
2163	C₂×D₄	—	53	4	no	—
2164	C₂×D₄	—	106	8	no	—
2165	C₂×D₄	—	106	16	no	—
2166	C₂×D₄	—	106	8	no	—
2167	C₂×D₄	—	106	8	no	—
2168	C₂×D₄	—	212	2	no	—
2169	C₂×D₄	—	212	4	no	—
2170	C₂×D₄	—	212	4	no	—
2171	C₂×D₄	—	212	4	no	—
2172	C₂×D₄	—	212	4	no	—
2173	C₂×D₄	—	212	2	no	—
2174	C₂×D₄	—	212	4	no	—
2175	C₂×D₄	—	212	8	no	—
2176	C₂×D₄	—	212	4	no	—
2177	C₂×D₄	—	212	8	no	—
2178	C₂×D₄	—	212	8	no	—
2179	C₂×D₄	—	212	4	no	—
2180	C₂×D₄	—	212	8	no	—
2181	C₂×D₄	—	212	8	no	—
2182	C₂×D₄	—	212	4	no	—
2183	C₂×D₄	—	212	8	no	—
2184	C₂×D₄	—	212	8	no	—
2185	C₂×D₄	—	212	8	no	—
2186	C₂×D₄	—	212	4	no	—
2187	C₂×D₄	—	212	8	no	—
2188	C₂×D₄	—	212	4	no	—
2189	C₂×D₄	—	212	4	no	—
2190	C₂×D₄	—	212	8	no	—
2191	C₂×D₄	—	212	8	no	—
2192	C₂×D₄	—	212	8	no	—
2193	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2194	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2195	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2196	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2197	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2198	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2199	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2200	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2201	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2202	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2203	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2204	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2205	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2206	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2207	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2208	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2209	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2210	C₂²×C₄	—	4	2	no	—
2211	C₂²×C₄	—	53	1	no	—
2212	C₂²×C₄	—	53	1	no	—
2213	C₂²×C₄	—	53	2	no	—
2214	C₂²×C₄	—	53	1	no	—
2215	C₂²×C₄	—	53	4	no	—
2216	C₂²×C₄	—	53	1	no	—
2217	C₂²×C₄	—	53	1	no	—
2218	C₂²×C₄	—	53	1	no	—
2219	C₂²×C₄	—	53	2	no	—
2220	C₂²×C₄	—	53	2	no	—
2221	C₂²×C₄	—	53	4	no	—
2222	C₂²×C₄	—	53	2	no	—
2223	C₂²×C₄	—	53	4	no	—
2224	C₂²×C₄	—	53	4	no	—
2225	C₂²×C₄	—	53	4	no	—
2226	C₂²×C₄	—	53	4	no	—
2227	C₂²×C₄	—	53	1	no	—
2228	C₂²×C₄	—	53	1	no	—
2229	C₂²×C₄	—	53	2	no	—
2230	C₂²×C₄	—	53	1	no	—
2231	C₂²×C₄	—	53	1	no	—
2232	C₂²×C₄	—	53	4	no	—
2233	C₂²×C₄	—	53	1	no	—
2234	C₂²×C₄	—	53	1	no	—
2235	C₂²×C₄	—	53	1	no	—
2236	C₂²×C₄	—	53	1	no	—
2237	C₂²×C₄	—	53	2	no	—
2238	C₂²×C₄	—	53	1	no	—
2239	C₂²×C₄	—	53	1	no	—
2240	C₂²×C₄	—	53	2	no	—
2241	C₂²×C₄	—	53	1	no	—
2242	C₂²×C₄	—	53	1	no	—
2243	C₂²×C₄	—	53	1	no	—
2244	C₂²×C₄	—	53	2	no	—
2245	C₂²×C₄	—	53	4	no	—
2246	C₂²×C₄	—	53	1	no	—
2247	C₂²×C₄	—	53	4	no	—
2248	C₂²×C₄	—	53	2	no	—
2249	C₂²×C₄	—	53	4	no	—
2250	C₂²×C₄	—	53	4	no	—
2251	C₂²×C₄	—	53	4	no	—
2252	C₂²×C₄	—	53	1	no	—
2253	C₂²×C₄	—	53	1	no	—
2254	C₂²×C₄	—	106	4	no	—
2255	C₂²×C₄	—	106	4	no	—
2256	C₂²×C₄	—	106	4	no	—
2257	C₂²×C₄	—	212	2	no	—
2258	C₂²×C₄	—	212	2	no	—
2259	C₂²×C₄	—	212	2	no	—
2260	C₂²×C₄	—	212	4	no	—
2261	C₂²×C₄	—	212	2	no	—
2262	C₂²×C₄	—	212	2	no	—
2263	C₂²×C₄	—	212	2	no	—
2264	C₂²×C₄	—	212	2	no	—
2265	C₂²×C₄	—	212	2	no	—
2266	C₂²×C₄	—	212	2	no	—
2267	C₂²×C₄	—	212	4	no	—
2268	C₂²×C₄	—	212	2	no	—
2269	C₂²×C₄	—	212	4	no	—
2270	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2271	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2272	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2273	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2274	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2275	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2276	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2277	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2278	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2279	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2280	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2281	C₄⋊C₄	—	53	4	no	—
2282	C₄⋊C₄	—	53	2	no	—
2283	C₄⋊C₄	—	53	2	no	—
2284	C₄⋊C₄	—	53	2	no	—
2285	C₄⋊C₄	—	53	4	no	—
2286	C₄⋊C₄	—	53	2	no	—
2287	C₄⋊C₄	—	53	2	no	—
2288	C₄⋊C₄	—	53	2	no	—
2289	C₄⋊C₄	—	53	4	no	—
2290	C₄⋊C₄	—	53	2	no	—
2291	C₄⋊C₄	—	53	2	no	—
2292	C₄⋊C₄	—	53	1	no	—
2293	C₄⋊C₄	—	53	1	no	—
2294	C₄⋊C₄	—	53	2	no	—
2295	C₄⋊C₄	—	53	4	no	—
2296	C₄⋊C₄	—	53	4	no	—
2297	C₄⋊C₄	—	53	2	no	—
2298	C₄⋊C₄	—	53	2	no	—
2299	C₄⋊C₄	—	53	2	no	—
2300	C₄⋊C₄	—	53	4	no	—
2301	C₄⋊C₄	—	53	4	no	—
2302	C₄⋊C₄	—	53	4	no	—
2303	C₄⋊C₄	—	53	4	no	—
2304	C₄⋊C₄	—	53	4	no	—
2305	C₄⋊C₄	—	53	4	no	—
2306	C₄⋊C₄	—	53	4	no	—
2307	C₄⋊C₄	—	53	4	no	—
2308	C₄⋊C₄	—	53	4	no	—
2309	C₄⋊C₄	—	53	4	no	—
2310	C₄⋊C₄	—	53	4	no	—
2311	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2312	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2313	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2314	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2315	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2316	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2317	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2318	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2319	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2320	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2321	C₂²⋊C₄	—	53	4	no	—
2322	C₂²⋊C₄	—	53	4	no	—
2323	C₂²⋊C₄	—	53	4	no	—
2324	C₂²⋊C₄	—	53	2	no	—
2325	C₂²⋊C₄	—	53	4	no	—
2326	C₂²⋊C₄	—	53	2	no	—
2327	C₂²⋊C₄	—	53	4	no	—
2328	C₂²⋊C₄	—	53	4	no	—
2329	C₂²⋊C₄	—	53	2	no	—
2330	C₂²⋊C₄	—	53	2	no	—
2331	C₂²⋊C₄	—	53	4	no	—
2332	C₂²⋊C₄	—	53	4	no	—
2333	C₂²⋊C₄	—	53	4	no	—
2334	C₂²⋊C₄	—	53	4	no	—
2335	C₂²⋊C₄	—	53	4	no	—
2336	C₂²⋊C₄	—	53	4	no	—
2337	C₂²⋊C₄	—	53	2	no	—
2338	C₂²⋊C₄	—	53	4	no	—
2339	C₂²⋊C₄	—	53	4	no	—
2340	C₂²⋊C₄	—	53	4	no	—
2341	C₂²⋊C₄	—	53	2	no	—
2342	C₂²⋊C₄	—	53	2	no	—
2343	C₂²⋊C₄	—	53	4	no	—
2344	C₂²⋊C₄	—	53	4	no	—
2345	C₂²⋊C₄	—	53	2	no	—
2346	C₂²⋊C₄	—	53	2	no	—
2347	C₂²⋊C₄	—	53	2	no	—
2348	C₂²⋊C₄	—	53	4	no	—
2349	C₂²⋊C₄	—	53	4	no	—
2350	C₂²⋊C₄	—	53	4	no	—
2351	C₂²⋊C₄	—	53	4	no	—
2352	C₂²⋊C₄	—	53	4	no	—
2353	C₂²⋊C₄	—	53	4	no	—
2354	C₂²⋊C₄	—	53	4	no	—
2355	C₂²⋊C₄	—	53	4	no	—
2356	C₂²⋊C₄	—	53	4	no	—
2357	C₂²⋊C₄	—	53	4	no	—
2358	C₂²⋊C₄	—	53	4	no	—
2359	C₂²⋊C₄	—	53	2	no	—
2360	C₂²⋊C₄	—	53	2	no	—
2361	C₂²⋊C₄	—	53	2	no	—
2362	C₂²⋊C₄	—	53	2	no	—
2363	C₂²⋊C₄	—	53	2	no	—
2364	C₂²⋊C₄	—	53	4	no	—
2365	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2366	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2367	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2368	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2369	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2370	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2371	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2372	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2373	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2374	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2375	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2376	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2377	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2378	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2379	C₄²	—	53	2	no	—
2380	C₄²	—	53	4	no	—
2381	C₄²	—	53	2	no	—
2382	C₄²	—	53	4	no	—
2383	C₄²	—	53	2	no	—
2384	C₄²	—	53	4	no	—
2385	C₄²	—	53	4	no	—
2386	C₄²	—	53	4	no	—
2387	C₄²	C₂³×D₅₃	1	2	yes	—
2388	C₄²	C₂³×D₅₃	1	4	yes	—
2389	C₂³	—	2	2	no	—
2390	C₂³	—	2	2	no	—
2391	C₂³	—	2	4	no	—
2392	C₂³	—	2	4	no	—
2393	C₂³	—	4	1	no	—
2394	C₂³	—	4	2	no	—
2395	C₂³	—	4	2	no	—
2396	C₂³	—	4	2	no	—
2397	C₂³	—	4	2	no	—
2398	C₂³	—	4	4	no	—
2399	C₂³	—	4	4	no	—
2400	C₂³	—	4	4	no	—
2401	C₂³	—	53	1	no	—
2402	C₂³	—	53	1	no	—
2403	C₂³	—	53	1	no	—
2404	C₂³	—	53	4	no	—
2405	C₂³	—	53	4	no	—
2406	C₂³	—	53	1	no	—
2407	C₂³	—	53	2	no	—
2408	C₂³	—	106	2	no	—
2409	C₂³	—	106	2	no	—
2410	C₂³	—	106	4	no	—
2411	C₂³	—	106	8	no	—
2412	C₂³	—	106	8	no	—
2413	C₂³	—	106	2	no	—
2414	C₂³	—	106	2	no	—
2415	C₂³	—	106	2	no	—
2416	C₂³	—	106	2	no	—
2417	C₂³	—	106	2	no	—
2418	C₂³	—	106	2	no	—
2419	C₂³	—	106	4	no	—
2420	C₂³	—	106	2	no	—
2421	C₂³	—	106	2	no	—
2422	C₂³	—	424	16	no	—
2423	C₂³	—	212	4	no	—
2424	C₂³	—	212	4	no	—
2425	C₂³	—	212	4	no	—
2426	C₂³	—	212	2	no	—
2427	C₂³	—	212	2	no	—
2428	C₂³	—	212	2	no	—
2429	C₂³	—	212	4	no	—
2430	C₂³	—	212	4	no	—
2431	C₂³	—	212	2	no	—
2432	C₂³	—	212	4	no	—
2433	C₂³	—	212	4	no	—
2434	C₂³	—	212	1	no	—
2435	C₂³	—	212	1	no	—
2436	C₂³	—	212	1	no	—
2437	C₂³	—	212	1	no	—
2438	C₂³	—	212	1	no	—
2439	C₂³	—	212	1	no	—
2440	C₂³	—	212	1	no	—
2441	C₂³	—	212	16	no	—
2442	C₂³	C₂⁴×D₅₃	1	4	yes	—
2443	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2444	C₂³	C₂⁴×D₅₃	1	2	yes	—
2445	C₂³	C₂⁴×D₅₃	1	4	yes	—
2446	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2447	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2448	Q₈	—	4	1	no	—
2449	Q₈	—	106	4	no	—
2450	Q₈	—	106	4	no	—
2451	Q₈	—	212	2	no	—
2452	Q₈	—	212	1	no	—
2453	Q₈	—	212	4	no	—
2454	Q₈	—	212	4	no	—
2455	D₄	—	2	8	no	—
2456	D₄	—	2	4	no	—
2457	D₄	—	2	8	no	—
2458	D₄	—	2	4	no	—
2459	D₄	—	2	4	no	—
2460	D₄	—	2	4	no	—
2461	D₄	—	4	2	no	—
2462	D₄	—	4	4	no	—
2463	D₄	—	4	4	no	—
2464	D₄	—	4	4	no	—
2465	D₄	—	4	4	no	—
2466	D₄	—	4	4	no	—
2467	D₄	—	4	4	no	—
2468	D₄	—	4	4	no	—
2469	D₄	—	4	2	no	—
2470	D₄	—	4	1	no	—
2471	D₄	—	4	2	no	—
2472	D₄	—	106	8	no	—
2473	D₄	—	106	4	no	—
2474	D₄	—	106	4	no	—
2475	D₄	—	106	8	no	—
2476	D₄	—	106	4	no	—
2477	D₄	—	106	8	no	—
2478	D₄	—	106	8	no	—
2479	D₄	—	106	8	no	—
2480	D₄	—	106	4	no	—
2481	D₄	—	106	4	no	—
2482	D₄	—	106	8	no	—
2483	D₄	—	106	8	no	—
2484	D₄	—	106	4	no	—
2485	D₄	—	106	4	no	—
2486	D₄	—	106	4	no	—
2487	D₄	—	212	4	no	—
2488	D₄	—	212	2	no	—
2489	D₄	—	212	2	no	—
2490	D₄	—	212	4	no	—
2491	D₄	—	212	1	no	—
2492	D₄	—	212	4	no	—
2493	D₄	—	212	2	no	—
2494	D₄	—	212	4	no	—
2495	D₄	—	212	4	no	—
2496	D₄	—	212	4	no	—
2497	D₄	—	212	4	no	—
2498	D₄	—	212	4	no	—
2499	D₄	—	212	4	no	—
2500	D₄	—	212	4	no	—
2501	D₄	—	212	4	no	—
2502	D₄	—	212	4	no	—
2503	D₄	—	212	4	no	—
2504	D₄	—	212	2	no	—
2505	D₄	—	212	4	no	—
2506	C₂×C₄	—	2	2	no	—
2507	C₂×C₄	—	2	2	no	—
2508	C₂×C₄	—	2	2	no	—
2509	C₂×C₄	—	2	4	no	—
2510	C₂×C₄	—	4	1	no	—
2511	C₂×C₄	—	4	1	no	—
2512	C₂×C₄	—	4	1	no	—
2513	C₂×C₄	—	4	2	no	—
2514	C₂×C₄	—	4	2	no	—
2515	C₂×C₄	—	4	4	no	—
2516	C₂×C₄	—	4	4	no	—
2517	C₂×C₄	—	53	1	no	—
2518	C₂×C₄	—	53	4	no	—
2519	C₂×C₄	—	53	2	no	—
2520	C₂×C₄	—	53	1	no	—
2521	C₂×C₄	—	53	1	no	—
2522	C₂×C₄	—	53	4	no	—
2523	C₂×C₄	—	53	2	no	—
2524	C₂×C₄	—	53	2	no	—
2525	C₂×C₄	—	53	4	no	—
2526	C₂×C₄	—	53	4	no	—
2527	C₂×C₄	—	53	1	no	—
2528	C₂×C₄	—	106	2	no	—
2529	C₂×C₄	—	106	2	no	—
2530	C₂×C₄	—	106	2	no	—
2531	C₂×C₄	—	106	2	no	—
2532	C₂×C₄	—	106	2	no	—
2533	C₂×C₄	—	106	2	no	—
2534	C₂×C₄	—	106	8	no	—
2535	C₂×C₄	—	106	4	no	—
2536	C₂×C₄	—	106	2	no	—
2537	C₂×C₄	—	106	2	no	—
2538	C₂×C₄	—	106	2	no	—
2539	C₂×C₄	—	106	8	no	—
2540	C₂×C₄	—	106	4	no	—
2541	C₂×C₄	—	106	2	no	—
2542	C₂×C₄	—	106	2	no	—
2543	C₂×C₄	—	106	2	no	—
2544	C₂×C₄	—	106	4	no	—
2545	C₂×C₄	—	212	1	no	—
2546	C₂×C₄	—	212	1	no	—
2547	C₂×C₄	—	212	1	no	—
2548	C₂×C₄	—	212	1	no	—
2549	C₂×C₄	—	212	1	no	—
2550	C₂×C₄	—	212	1	no	—
2551	C₂×C₄	—	212	4	no	—
2552	C₂×C₄	—	212	2	no	—
2553	C₂×C₄	—	212	2	no	—
2554	C₂×C₄	—	212	2	no	—
2555	C₂×C₄	—	212	4	no	—
2556	C₂×C₄	—	212	4	no	—
2557	C₂×C₄	—	212	4	no	—
2558	C₂×C₄	—	212	4	no	—
2559	C₂×C₄	—	212	1	no	—
2560	C₂×C₄	—	212	1	no	—
2561	C₂×C₄	—	212	1	no	—
2562	C₂×C₄	—	212	2	no	—
2563	C₂×C₄	—	212	2	no	—
2564	C₂×C₄	—	212	2	no	—
2565	C₂×C₄	—	212	4	no	—
2566	C₂×C₄	—	212	4	no	—
2567	C₂×C₄	—	212	4	no	—
2568	C₂×C₄	—	212	4	no	—
2569	C₂×C₄	—	212	4	no	—
2570	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2571	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2572	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2573	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2574	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2575	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2576	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2577	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2578	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2579	C₂²	—	2	1	no	—
2580	C₂²	—	2	1	no	—
2581	C₂²	—	2	1	no	—
2582	C₂²	—	2	1	no	—
2583	C₂²	—	2	1	no	—
2584	C₂²	—	2	2	no	—
2585	C₂²	—	2	4	no	—
2586	C₂²	—	2	4	no	—
2587	C₂²	—	2	2	no	—
2588	C₂²	—	2	4	no	—
2589	C₂²	—	2	4	no	—
2590	C₂²	—	2	1	no	—
2591	C₂²	—	2	4	no	—
2592	C₂²	—	2	4	no	—
2593	C₂²	—	2	2	no	—
2594	C₂²	—	2	1	no	—
2595	C₂²	—	4	4	no	—
2596	C₂²	—	8	4	no	—
2597	C₂²	—	8	4	no	—
2598	C₂²	—	16	4	no	—
2599	C₂²	—	53	2	no	—
2600	C₂²	—	53	2	no	—
2601	C₂²	—	53	2	no	—
2602	C₂²	—	848	4	no	—
2603	C₂²	—	106	8	no	—
2604	C₂²	—	106	1	no	—
2605	C₂²	—	106	1	no	—
2606	C₂²	—	106	1	no	—
2607	C₂²	—	106	1	no	—
2608	C₂²	—	106	1	no	—
2609	C₂²	—	106	1	no	—
2610	C₂²	—	106	1	no	—
2611	C₂²	—	106	2	no	—
2612	C₂²	—	106	2	no	—
2613	C₂²	—	106	4	no	—
2614	C₂²	—	106	4	no	—
2615	C₂²	—	106	1	no	—
2616	C₂²	—	106	4	no	—
2617	C₂²	—	106	2	no	—
2618	C₂²	—	106	1	no	—
2619	C₂²	—	424	4	no	—
2620	C₂²	—	424	8	no	—
2621	C₂²	—	424	8	no	—
2622	C₂²	—	424	4	no	—
2623	C₂²	—	212	4	no	—
2624	C₂²	—	212	4	no	—
2625	C₂²	—	212	4	no	—
2626	C₂²	—	212	4	no	—
2627	C₂²	—	212	4	no	—
2628	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2629	C₂²	#16811458	1	2	yes	—
2630	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2631	C₄	—	2	1	no	—
2632	C₄	—	2	1	no	—
2633	C₄	—	2	1	no	—
2634	C₄	—	2	2	no	—
2635	C₄	—	2	4	no	—
2636	C₄	—	2	2	no	—
2637	C₄	—	2	4	no	—
2638	C₄	—	2	2	no	—
2639	C₄	—	53	2	no	—
2640	C₄	—	106	1	no	—
2641	C₄	—	106	1	no	—
2642	C₄	—	106	1	no	—
2643	C₄	—	106	4	no	—
2644	C₄	—	106	2	no	—
2645	C₄	—	106	4	no	—
2646	C₄	—	106	4	no	—
2647	C₄	—	106	2	no	—
2648	C₄	—	106	2	no	—
2649	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2650	C₂	—	2	2	no	—
2651	C₂	—	2	2	no	—
2652	C₂	—	4	1	no	—
2653	C₂	—	4	4	no	—
2654	C₂	—	4	4	no	—
2655	C₂	—	4	2	no	—
2656	C₂	—	106	2	no	—
2657	C₂	—	106	2	no	—
2658	C₂	—	106	2	no	—
2659	C₂	—	212	2	no	—
2660	C₂	—	212	4	no	—
2661	C₂	—	212	1	no	—
2662	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2663	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2664	C₂	C₂×#16811458	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3537	C₂
hypercenter	#3537	D₅₃
hypocenter	C₅₃	#62818
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3537

Complements

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

N	H ≅ G/N	type
1. #20289037	C₂	semidirect
2. #20289033	C₂	semidirect
3. #20289020	C₂	semidirect
4. #20288952	C₂	semidirect
5. #20288950	C₂	semidirect
6. #20288942	C₂	semidirect
7. #20288937	C₂	semidirect
8. #20288936	C₂	semidirect
9. #20288906	C₂	semidirect
10. #20288902	C₂	semidirect
11. #20288896	C₂	semidirect
12. #20288740	C₂	semidirect
13. #20288738	C₂	semidirect
14. #20288734	C₂	semidirect
15. #20288553	C₂	semidirect
16. #20288544	C₂	semidirect
17. #20288476	C₂	semidirect
18. #20288471	C₂	semidirect
19. #20288446	C₂	semidirect
20. #20288442	C₂	semidirect
21. #20288419	C₂	semidirect
22. #20288403	C₂	semidirect
23. #20288401	C₂	semidirect
24. #20288382	C₂	semidirect
25. #20288375	C₂	semidirect
26. #20288343	C₂	semidirect
27. #20288343	C₂	semidirect
28. C₂×#16811133	C₂	semidirect
29. #525×D₅₃	C₂	semidirect
30. C₂×#121×D₅₃	C₂	semidirect
31. C₅₃×#3537	C₂	semidirect
32. C₂×#13133262	C₂²	semidirect
33. C₂×#13133262	C₂²	semidirect
34. C₂²×#11719947	C₂²	semidirect
35. C₂×#41×D₅₃	C₂²	semidirect
36. C₂²×D₄×D₅₃	C₂²	semidirect
37. C₂²×D₄×D₅₃	C₂²	semidirect
38. C₂³×C₄×D₅₃	C₂²	semidirect
39. #16811370	C₂²	semidirect
40. #16811370	C₂²	semidirect
41. #16811368	C₂²	semidirect
42. #16811367	C₂²	semidirect
43. #16811363	C₂²	semidirect
44. #16811362	C₂²	semidirect
45. #16811361	C₂²	semidirect
46. #16811338	C₂²	semidirect
47. #16811337	C₂²	semidirect
48. #16811336	C₂²	semidirect
49. #16811332	C₂²	semidirect
50. #16811330	C₂²	semidirect
51. #16811328	C₂²	semidirect
52. #16811326	C₂²	semidirect
53. #16811325	C₂²	semidirect
54. #16811325	C₂²	semidirect
55. #16811325	C₂²	semidirect
56. #16811324	C₂²	semidirect
57. #16811321	C₂²	semidirect
58. #16811320	C₂²	semidirect
59. #16811319	C₂²	semidirect
60. #16811318	C₂²	semidirect
61. #16811316	C₂²	semidirect
62. #16811316	C₂²	semidirect
63. #16811312	C₂²	semidirect
64. #16811311	C₂²	semidirect
65. #16811309	C₂²	semidirect
66. #16811303	C₂²	semidirect
67. #16811301	C₂²	semidirect
68. #16811298	C₂²	semidirect
69. #16811298	C₂²	semidirect
70. #16811296	C₂²	semidirect
71. #16811296	C₂²	semidirect
72. #16811296	C₂²	semidirect
73. #16811296	C₂²	semidirect
74. #16811293	C₂²	semidirect
75. #16811293	C₂²	semidirect
76. #16811291	C₂²	semidirect
77. #16811282	C₂²	semidirect
78. #16811281	C₂²	semidirect
79. #16811279	C₂²	semidirect
80. #16811278	C₂²	semidirect
81. #16811277	C₂²	semidirect
82. #16811273	C₂²	semidirect
83. #16811273	C₂²	semidirect
84. #16811271	C₂²	semidirect
85. #16811271	C₂²	semidirect
86. #16811270	C₂²	semidirect
87. #16811270	C₂²	semidirect
88. #16811270	C₂²	semidirect
89. #16811269	C₂²	semidirect
90. #16811269	C₂²	semidirect
91. #16811268	C₂²	semidirect
92. #16811268	C₂²	semidirect
93. #16811268	C₂²	semidirect
94. #16811267	C₂²	semidirect
95. #16811267	C₂²	semidirect
96. #16811267	C₂²	semidirect
97. #16811267	C₂²	semidirect
98. #16811266	C₂²	semidirect
99. #16811265	C₂²	semidirect
100. #16811265	C₂²	semidirect
101. #16811262	C₂²	semidirect
102. #16811262	C₂²	semidirect
103. #16811262	C₂²	semidirect
104. #16811262	C₂²	semidirect
105. #16811260	C₂²	semidirect
106. #16811260	C₂²	semidirect
107. #16811260	C₂²	semidirect
108. #16811260	C₂²	semidirect
109. #16811260	C₂²	semidirect
110. #16811260	C₂²	semidirect
111. #16811260	C₂²	semidirect
112. #16811260	C₂²	semidirect
113. #16811260	C₂²	semidirect
114. #16811260	C₂²	semidirect
115. #16811258	C₂²	semidirect
116. #16811258	C₂²	semidirect
117. #16811257	C₂²	semidirect
118. #16811257	C₂²	semidirect
119. D₄×C₂²⋊D₅₃	C₂²	semidirect
120. D₄×C₂²⋊D₅₃	C₂²	semidirect
121. D₄×C₂²⋊D₅₃	C₂²	semidirect
122. D₄×C₂²⋊D₅₃	C₂²	semidirect
123. D₄×C₂²⋊D₅₃	C₂²	semidirect
124. D₄×C₂²⋊D₅₃	C₂²	semidirect
125. #16811255	C₂²	semidirect
126. #16811255	C₂²	semidirect
127. #16811255	C₂²	semidirect
128. #16811255	C₂²	semidirect
129. #16811253	C₂²	semidirect
130. #16811249	C₂²	semidirect
131. #16811248	C₂²	semidirect
132. #16811244	C₂²	semidirect
133. #16811240	C₂²	semidirect
134. #16811239	C₂²	semidirect
135. #16811227	C₂²	semidirect
136. #16811226	C₂²	semidirect
137. #16811226	C₂²	semidirect
138. #16811226	C₂²	semidirect
139. #16811225	C₂²	semidirect
140. #16811225	C₂²	semidirect
141. #16811222	C₂²	semidirect
142. #16811218	C₂²	semidirect
143. #16811216	C₂²	semidirect
144. #16811214	C₂²	semidirect
145. #16811214	C₂²	semidirect
146. #16811212	C₂²	semidirect
147. #16811211	C₂²	semidirect
148. #16811211	C₂²	semidirect
149. #16811210	C₂²	semidirect
150. #16811210	C₂²	semidirect
151. #16811210	C₂²	semidirect
152. #16811210	C₂²	semidirect
153. #16811209	C₂²	semidirect
154. #16811208	C₂²	semidirect
155. #16811208	C₂²	semidirect
156. #16811208	C₂²	semidirect
157. #16811202	C₂²	semidirect
158. #16811202	C₂²	semidirect
159. #16811202	C₂²	semidirect
160. #16811201	C₂²	semidirect
161. #16811200	C₂²	semidirect
162. #16811200	C₂²	semidirect
163. #16811200	C₂²	semidirect
164. #16811189	C₂²	semidirect
165. #16811189	C₂²	semidirect
166. #16811189	C₂²	semidirect
167. #16811188	C₂²	semidirect
168. #16811186	C₂²	semidirect
169. #16811186	C₂²	semidirect
170. #16811185	C₂²	semidirect
171. #16811183	C₂²	semidirect
172. #16811183	C₂²	semidirect
173. #16811183	C₂²	semidirect
174. #16811183	C₂²	semidirect
175. #16811181	C₂²	semidirect
176. #16811181	C₂²	semidirect
177. #16811181	C₂²	semidirect
178. #16811181	C₂²	semidirect
179. #16811171	C₂²	semidirect
180. #16811170	C₂²	semidirect
181. #16811168	C₂²	semidirect
182. #16811158	C₂²	semidirect
183. #16811155	C₂²	semidirect
184. #16811153	C₂²	semidirect
185. #16811136	C₂²	semidirect
186. #16811136	C₂²	semidirect
187. #16811135	C₂²	semidirect
188. #16811135	C₂²	semidirect
189. #16811134	C₂²	semidirect
190. #16811133	C₂²	semidirect
191. #16811133	C₂²	semidirect
192. #16811133	C₂²	semidirect
193. #16811133	C₂²	semidirect
194. #16811133	C₂²	semidirect
195. #16811133	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. #16811132	C₂²	semidirect
203. #16811132	C₂²	semidirect
204. #16811132	C₂²	semidirect
205. #16811131	C₂²	semidirect
206. #16811130	C₂²	semidirect
207. #16811129	C₂²	semidirect
208. #16811129	C₂²	semidirect
209. C₂×#13133199	C₂²	semidirect
210. #123×D₅₃	C₂²	semidirect
211. C₂×#13133197	C₂²	semidirect
212. C₂×#13133196	C₂²	semidirect
213. C₂²⋊Q₈×D₅₃	C₂²	semidirect
214. C₂²⋊Q₈×D₅₃	C₂²	semidirect
215. C₂×#13133192	C₂²	semidirect
216. C₂×#13133191	C₂²	semidirect
217. C₂×#13133190	C₂²	semidirect
218. C₂×#13133189	C₂²	semidirect
219. C₂×#13133189	C₂²	semidirect
220. C₂×#13133188	C₂²	semidirect
221. C₂×#13133188	C₂²	semidirect
222. C₂×#13133188	C₂²	semidirect
223. #121×D₅₃	C₂²	semidirect
224. #121×D₅₃	C₂²	semidirect
225. #121×D₅₃	C₂²	semidirect
226. #121×D₅₃	C₂²	semidirect
227. #121×D₅₃	C₂²	semidirect
228. #121×D₅₃	C₂²	semidirect
229. #121×D₅₃	C₂²	semidirect
230. #121×D₅₃	C₂²	semidirect
231. #121×D₅₃	C₂²	semidirect
232. #121×D₅₃	C₂²	semidirect
233. #121×D₅₃	C₂²	semidirect
234. C₂×#13133185	C₂²	semidirect
235. C₂×#13133185	C₂²	semidirect
236. #120×D₅₃	C₂²	semidirect
237. #120×D₅₃	C₂²	semidirect
238. #16811103	C₂²	semidirect
239. #16811102	C₂²	semidirect
240. #16811098	C₂²	semidirect
241. #16811095	C₂²	semidirect
242. #16811095	C₂²	semidirect
243. #16811095	C₂²	semidirect
244. C₂×D₄×Dic₅₃	C₂²	semidirect
245. C₂×#13133177	C₂²	semidirect
246. C₄×D₄×D₅₃	C₂²	semidirect
247. C₄×D₄×D₅₃	C₂²	semidirect
248. C₂×#13133175	C₂²	semidirect
249. #117×D₅₃	C₂²	semidirect
250. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
251. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
252. C₅₃×#560	C₂²	semidirect
253. C₅₃×#553	C₂²	semidirect
254. C₅₃×#553	C₂²	semidirect
255. D₄²×C₅₃	C₂²	semidirect
256. D₄²×C₅₃	C₂²	semidirect
257. D₄²×C₅₃	C₂²	semidirect
258. C₅₃×#540	C₂²	semidirect
259. C₅₃×#538	C₂²	semidirect
260. C₅₃×#538	C₂²	semidirect
261. C₅₃×#535	C₂²	semidirect
262. C₅₃×#534	C₂²	semidirect
263. C₅₃×#534	C₂²	semidirect
264. C₅₃×#525	C₂²	semidirect
265. C₂×#121×C₅₃	C₂²	semidirect
266. C₂×#121×C₅₃	C₂²	semidirect
274. C₂×#11719945	C₂³	semidirect
275. C₂×#11719945	C₂³	semidirect
276. C₂×#11719945	C₂³	semidirect
282. C₂×#11719947	C₂³	semidirect
283. C₂×#11719947	C₂³	semidirect
284. C₂×#11719947	C₂³	semidirect
285. C₂×#11719947	C₂³	semidirect
286. C₂×#11719947	C₂³	semidirect
287. C₂×#11719947	C₂³	semidirect
288. C₂×#11719947	C₂³	semidirect
289. C₂×#11719947	C₂³	semidirect
291. C₂²×Dic₁₀₆	C₂³	semidirect
292. C₂×Q₈×D₅₃	C₂³	semidirect
302. C₂²×C₂²⋊D₅₃	C₂³	semidirect
303. C₂²×C₂²⋊D₅₃	C₂³	semidirect
304. C₂²×C₂²⋊D₅₃	C₂³	semidirect
321. C₂×D₄×D₅₃	C₂³	semidirect
322. C₂×D₄×D₅₃	C₂³	semidirect
323. C₂×D₄×D₅₃	C₂³	semidirect
325. C₂³×Dic₅₃	C₂³	semidirect
340. C₂²×C₄×D₅₃	C₂³	semidirect
341. #13133217	C₂³	semidirect
342. #13133216	C₂³	semidirect
343. #13133216	C₂³	semidirect
344. #13133213	C₂³	semidirect
345. #13133213	C₂³	semidirect
346. #13133213	C₂³	semidirect
347. #13133213	C₂³	semidirect
348. #13133213	C₂³	semidirect
349. #13133212	C₂³	semidirect
350. #13133212	C₂³	semidirect
351. #13133212	C₂³	semidirect
352. #13133212	C₂³	semidirect
353. #13133212	C₂³	semidirect
354. #13133210	C₂³	semidirect
355. #13133210	C₂³	semidirect
356. #13133210	C₂³	semidirect
357. #13133210	C₂³	semidirect
358. #13133210	C₂³	semidirect
359. #13133209	C₂³	semidirect
360. #13133208	C₂³	semidirect
361. #13133208	C₂³	semidirect
362. #13133208	C₂³	semidirect
363. #13133207	C₂³	semidirect
364. #13133207	C₂³	semidirect
365. #13133205	C₂³	semidirect
366. #13133205	C₂³	semidirect
367. #13133204	C₂³	semidirect
368. #13133204	C₂³	semidirect
369. #13133204	C₂³	semidirect
370. #13133203	C₂³	semidirect
371. #13133203	C₂³	semidirect
372. #13133203	C₂³	semidirect
373. #13133203	C₂³	semidirect
374. #13133203	C₂³	semidirect
375. #13133203	C₂³	semidirect
376. #13133203	C₂³	semidirect
377. #13133203	C₂³	semidirect
378. #13133203	C₂³	semidirect
382. #13133202	C₂³	semidirect
383. #13133202	C₂³	semidirect
384. #13133202	C₂³	semidirect
385. #13133202	C₂³	semidirect
386. #13133201	C₂³	semidirect
387. #13133201	C₂³	semidirect
388. #13133201	C₂³	semidirect
389. #13133201	C₂³	semidirect
390. #13133201	C₂³	semidirect
391. #13133201	C₂³	semidirect
392. #13133201	C₂³	semidirect
393. #13133201	C₂³	semidirect
394. #13133201	C₂³	semidirect
395. #13133200	C₂³	semidirect
403. #13133199	C₂³	semidirect
404. #13133199	C₂³	semidirect
405. #13133199	C₂³	semidirect
406. #13133199	C₂³	semidirect
407. #13133199	C₂³	semidirect
408. #13133199	C₂³	semidirect
409. #13133199	C₂³	semidirect
410. #13133199	C₂³	semidirect
411. #13133199	C₂³	semidirect
412. #13133198	C₂³	semidirect
413. #13133198	C₂³	semidirect
414. #13133198	C₂³	semidirect
415. #13133198	C₂³	semidirect
416. #13133198	C₂³	semidirect
417. #13133198	C₂³	semidirect
422. #13133197	C₂³	semidirect
423. #13133197	C₂³	semidirect
424. #13133197	C₂³	semidirect
425. #13133197	C₂³	semidirect
426. #13133197	C₂³	semidirect
431. #13133196	C₂³	semidirect
432. #13133196	C₂³	semidirect
433. #13133196	C₂³	semidirect
434. #13133196	C₂³	semidirect
435. #13133196	C₂³	semidirect
438. #13133195	C₂³	semidirect
439. #13133195	C₂³	semidirect
440. #13133195	C₂³	semidirect
441. #13133195	C₂³	semidirect
444. #13133194	C₂³	semidirect
445. #13133194	C₂³	semidirect
446. #13133194	C₂³	semidirect
447. #13133194	C₂³	semidirect
448. #13133194	C₂³	semidirect
449. #13133194	C₂³	semidirect
450. #13133194	C₂³	semidirect
451. #13133194	C₂³	semidirect
453. #13133193	C₂³	semidirect
454. #13133193	C₂³	semidirect
460. #13133192	C₂³	semidirect
461. #13133192	C₂³	semidirect
462. #13133192	C₂³	semidirect
468. #13133191	C₂³	semidirect
469. #13133191	C₂³	semidirect
470. #13133191	C₂³	semidirect
471. #13133191	C₂³	semidirect
472. #13133191	C₂³	semidirect
473. #13133191	C₂³	semidirect
480. #13133190	C₂³	semidirect
481. #13133190	C₂³	semidirect
482. #13133190	C₂³	semidirect
483. #13133190	C₂³	semidirect
484. #13133190	C₂³	semidirect
485. #13133190	C₂³	semidirect
486. #13133190	C₂³	semidirect
487. #13133190	C₂³	semidirect
494. #13133189	C₂³	semidirect
495. #13133189	C₂³	semidirect
496. #13133189	C₂³	semidirect
497. #13133189	C₂³	semidirect
498. #13133189	C₂³	semidirect
499. #13133189	C₂³	semidirect
500. #13133189	C₂³	semidirect
501. #13133189	C₂³	semidirect
502. #13133189	C₂³	semidirect
503. #13133189	C₂³	semidirect
504. #13133189	C₂³	semidirect
505. #13133189	C₂³	semidirect
506. #13133189	C₂³	semidirect
507. #13133189	C₂³	semidirect
508. #13133189	C₂³	semidirect
509. #13133189	C₂³	semidirect
510. #13133189	C₂³	semidirect
511. #13133189	C₂³	semidirect
512. #13133189	C₂³	semidirect
521. #13133188	C₂³	semidirect
522. #13133188	C₂³	semidirect
523. #13133188	C₂³	semidirect
524. #13133188	C₂³	semidirect
525. #13133188	C₂³	semidirect
526. #13133188	C₂³	semidirect
527. #13133188	C₂³	semidirect
528. #13133188	C₂³	semidirect
529. #13133188	C₂³	semidirect
530. #13133188	C₂³	semidirect
531. #13133188	C₂³	semidirect
532. #13133188	C₂³	semidirect
533. #13133188	C₂³	semidirect
539. #13133187	C₂³	semidirect
540. #13133187	C₂³	semidirect
541. #13133187	C₂³	semidirect
542. #13133187	C₂³	semidirect
545. #13133186	C₂³	semidirect
546. #13133186	C₂³	semidirect
547. #13133186	C₂³	semidirect
563. #13133185	C₂³	semidirect
564. #13133185	C₂³	semidirect
565. #13133185	C₂³	semidirect
566. #13133185	C₂³	semidirect
567. C₄×Dic₁₀₆	C₂³	semidirect
568. C₄×Dic₁₀₆	C₂³	semidirect
569. #13133182	C₂³	semidirect
572. C₄×D₂₁₂	C₂³	semidirect
573. C₄×D₂₁₂	C₂³	semidirect
574. C₄×D₂₁₂	C₂³	semidirect
575. C₄×D₂₁₂	C₂³	semidirect
581. D₄×Dic₅₃	C₂³	semidirect
582. D₄×Dic₅₃	C₂³	semidirect
583. D₄×Dic₅₃	C₂³	semidirect
584. D₄×Dic₅₃	C₂³	semidirect
585. D₄×Dic₅₃	C₂³	semidirect
586. D₄×Dic₅₃	C₂³	semidirect
587. D₄×Dic₅₃	C₂³	semidirect
588. D₄×Dic₅₃	C₂³	semidirect
589. D₄×Dic₅₃	C₂³	semidirect
590. D₄×Dic₅₃	C₂³	semidirect
592. #13133179	C₂³	semidirect
593. #13133179	C₂³	semidirect
594. #13133179	C₂³	semidirect
595. #13133179	C₂³	semidirect
600. C₄×C₂²⋊D₅₃	C₂³	semidirect
601. C₄×C₂²⋊D₅₃	C₂³	semidirect
602. C₄×C₂²⋊D₅₃	C₂³	semidirect
603. C₄×C₂²⋊D₅₃	C₂³	semidirect
604. C₄×C₂²⋊D₅₃	C₂³	semidirect
605. C₄×C₂²⋊D₅₃	C₂³	semidirect
612. #13133177	C₂³	semidirect
613. #13133177	C₂³	semidirect
614. #13133177	C₂³	semidirect
615. #13133177	C₂³	semidirect
616. #13133177	C₂³	semidirect
617. #13133177	C₂³	semidirect
618. #13133177	C₂³	semidirect
619. #13133177	C₂³	semidirect
620. #13133177	C₂³	semidirect
621. #13133176	C₂³	semidirect
622. #13133176	C₂³	semidirect
623. #13133176	C₂³	semidirect
629. #13133175	C₂³	semidirect
630. #13133175	C₂³	semidirect
631. #13133175	C₂³	semidirect
632. #13133175	C₂³	semidirect
635. #13133174	C₂³	semidirect
636. #13133173	C₂³	semidirect
637. #13133173	C₂³	semidirect
639. C₂×C₄⋊Dic₅₃	C₂³	semidirect
640. C₂×C₄⋊Dic₅₃	C₂³	semidirect
641. C₂×C₄⋊Dic₅₃	C₂³	semidirect
643. C₂×#11719919	C₂³	semidirect
644. C₂×#11719919	C₂³	semidirect
649. C₄⋊C₄×D₅₃	C₂³	semidirect
650. C₄⋊C₄×D₅₃	C₂³	semidirect
651. C₄⋊C₄×D₅₃	C₂³	semidirect
652. C₄⋊C₄×D₅₃	C₂³	semidirect
653. C₄⋊C₄×D₅₃	C₂³	semidirect
657. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
658. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
659. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
666. C₂×#11719921	C₂³	semidirect
677. C₂²⋊C₄×D₅₃	C₂³	semidirect
678. C₂²⋊C₄×D₅₃	C₂³	semidirect
679. C₂²⋊C₄×D₅₃	C₂³	semidirect
680. C₂×C₄×Dic₅₃	C₂³	semidirect
681. C₄²×D₅₃	C₂³	semidirect
682. C₂×#41×C₅₃	C₂³	semidirect
687. C₂²×D₄×C₅₃	C₂³	semidirect
688. C₂²×D₄×C₅₃	C₂³	semidirect
689. C₂²×D₄×C₅₃	C₂³	semidirect
691. #127×C₅₃	C₂³	semidirect
692. #127×C₅₃	C₂³	semidirect
693. #126×C₅₃	C₂³	semidirect
694. #126×C₅₃	C₂³	semidirect
695. #125×C₅₃	C₂³	semidirect
696. #124×C₅₃	C₂³	semidirect
697. #123×C₅₃	C₂³	semidirect
698. #123×C₅₃	C₂³	semidirect
699. #123×C₅₃	C₂³	semidirect
700. #123×C₅₃	C₂³	semidirect
701. #123×C₅₃	C₂³	semidirect
703. C₂²⋊Q₈×C₅₃	C₂³	semidirect
712. #121×C₅₃	C₂³	semidirect
713. #121×C₅₃	C₂³	semidirect
714. #121×C₅₃	C₂³	semidirect
715. #121×C₅₃	C₂³	semidirect
716. #121×C₅₃	C₂³	semidirect
717. #121×C₅₃	C₂³	semidirect
718. #121×C₅₃	C₂³	semidirect
719. #121×C₅₃	C₂³	semidirect
720. #121×C₅₃	C₂³	semidirect
721. #121×C₅₃	C₂³	semidirect
724. #120×C₅₃	C₂³	semidirect
725. #120×C₅₃	C₂³	semidirect
726. #120×C₅₃	C₂³	semidirect
727. #120×C₅₃	C₂³	semidirect
728. #120×C₅₃	C₂³	semidirect
731. C₄×D₄×C₅₃	C₂³	semidirect
732. C₄×D₄×C₅₃	C₂³	semidirect
733. C₄×D₄×C₅₃	C₂³	semidirect
734. C₄×D₄×C₅₃	C₂³	semidirect
735. #117×C₅₃	C₂³	semidirect
736. #117×C₅₃	C₂³	semidirect
738. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
740. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
1108. C₂²×D₅₃	H(5,𝔽₂)	semidirect
1239. C₄×D₅₃	H(5,𝔽₂)	semidirect
1323. #3537	D₅₃	semidirect
1378. #560	C₂×D₅₃	semidirect
1396. #553	C₂×D₅₃	semidirect
1397. #553	C₂×D₅₃	semidirect
1464. D₄²	C₂×D₅₃	semidirect
1465. D₄²	C₂×D₅₃	semidirect
1466. D₄²	C₂×D₅₃	semidirect
1479. #540	C₂×D₅₃	semidirect
1496. #538	C₂×D₅₃	semidirect
1497. #538	C₂×D₅₃	semidirect
1511. #535	C₂×D₅₃	semidirect
1521. #534	C₂×D₅₃	semidirect
1522. #534	C₂×D₅₃	semidirect
1553. #525	C₂×D₅₃	semidirect
1579. C₂×#121	C₂×D₅₃	semidirect
1580. C₂×#121	C₂×D₅₃	semidirect
1599. C₅₃	#62818	semidirect
1624. C₂×#41	C₂²×D₅₃	semidirect
1662. C₂²×D₄	C₂²×D₅₃	semidirect
1663. C₂²×D₄	C₂²×D₅₃	semidirect
1664. C₂²×D₄	C₂²×D₅₃	semidirect
1691. #127	C₂²×D₅₃	semidirect
1692. #127	C₂²×D₅₃	semidirect
1703. #126	C₂²×D₅₃	semidirect
1704. #126	C₂²×D₅₃	semidirect
1711. #125	C₂²×D₅₃	semidirect
1726. #124	C₂²×D₅₃	semidirect
1766. #123	C₂²×D₅₃	semidirect
1767. #123	C₂²×D₅₃	semidirect
1768. #123	C₂²×D₅₃	semidirect
1769. #123	C₂²×D₅₃	semidirect
1770. #123	C₂²×D₅₃	semidirect
1809. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1897. #121	C₂²×D₅₃	semidirect
1898. #121	C₂²×D₅₃	semidirect
1899. #121	C₂²×D₅₃	semidirect
1900. #121	C₂²×D₅₃	semidirect
1901. #121	C₂²×D₅₃	semidirect
1902. #121	C₂²×D₅₃	semidirect
1903. #121	C₂²×D₅₃	semidirect
1904. #121	C₂²×D₅₃	semidirect
1905. #121	C₂²×D₅₃	semidirect
1906. #121	C₂²×D₅₃	semidirect
1942. #120	C₂²×D₅₃	semidirect
1943. #120	C₂²×D₅₃	semidirect
1944. #120	C₂²×D₅₃	semidirect
1945. #120	C₂²×D₅₃	semidirect
1946. #120	C₂²×D₅₃	semidirect
2003. C₄×D₄	C₂²×D₅₃	semidirect
2004. C₄×D₄	C₂²×D₅₃	semidirect
2005. C₄×D₄	C₂²×D₅₃	semidirect
2006. C₄×D₄	C₂²×D₅₃	semidirect
2024. #117	C₂²×D₅₃	semidirect
2025. #117	C₂²×D₅₃	semidirect
2043. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2071. C₂×C₂²⋊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
#20289037	2
#20289033	2
#20289020	2
#20288952	2
#20288950	2
#20288942	2
#20288937	2
#20288936	2
#20288906	2
#20288902	2
#20288896	2
#20288740	2
#20288738	2
#20288734	2
#20288553	2
#20288544	2
#20288476	2
#20288471	2
#20288446	2
#20288442	2
#20288419	2
#20288403	2
#20288401	2
#20288382	2
#20288375	2
#20288343	2
C₂×#16811133	2
#525×D₅₃	2
C₂×#121×D₅₃	2
C₅₃×#3537	2
#62818	53