Subgroups — #72335077

Order 8192.

Only the 1166 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 1115 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72335065	C₂	1	1	yes	maximal, characteristic, complemented
2	#72335053	C₂	1	1	yes	maximal, characteristic, complemented
3	#72335040	C₂	1	1	yes	maximal, characteristic, complemented
4	#72335027	C₂	1	1	yes	maximal, characteristic, complemented
5	#72335027	C₂	1	1	yes	maximal, characteristic, complemented
6	#72334968	C₂	1	1	yes	maximal, characteristic, complemented
7	#72334963	C₂	1	1	yes	maximal, characteristic, complemented
8	#72334806	C₂²	1	1	yes	characteristic, complemented
9	#72334803	C₂	1	1	yes	maximal, characteristic, complemented
10	#72334803	C₂	1	1	yes	maximal, characteristic, complemented
11	#72334802	C₂²	1	1	yes	characteristic, complemented
12	#72334802	C₂²	1	1	yes	characteristic, complemented
13	#72334801	C₂²	1	1	yes	characteristic, complemented
14	#72331812	C₂	1	1	yes	maximal, characteristic, complemented
15	#72331045	C₂²	1	1	yes	characteristic, complemented
16	#72330840	C₂²	1	1	yes	characteristic, complemented
17	#72330840	C₂²	1	1	yes	characteristic, complemented
18	#72326997	C₂²	1	1	yes	characteristic
19	#72326936	D₄	1	1	yes	characteristic, complemented
20	#72323212	C₂	1	1	yes	maximal, characteristic, complemented
21	#72323210	C₂	1	1	yes	maximal, characteristic, complemented
22	#72320211	C₂	1	1	yes	maximal, characteristic, complemented
23	#72318023	C₂	1	1	yes	maximal, characteristic, complemented
24	#72317935	C₂²	1	1	yes	characteristic, complemented
25	#72317127	C₂	1	1	yes	maximal, characteristic, complemented
26	#72317123	C₂²	1	1	yes	characteristic, complemented
27	#72316962	C₂	1	1	yes	maximal, characteristic, complemented
28	#72315710	C₂	1	1	yes	maximal, characteristic, complemented
29	#72315225	C₂	1	1	yes	maximal, characteristic, complemented
30	#72315164	C₂²	1	1	yes	characteristic, complemented
31	#72315164	C₂²	1	1	yes	characteristic, complemented
32	#72315156	C₂	1	1	yes	maximal, characteristic, complemented
33	#72315149	C₂²	1	1	yes	characteristic, complemented
34	#72315149	C₂²	1	1	yes	characteristic, complemented
35	#72315084	C₂²	1	1	yes	characteristic, complemented
36	#72315084	C₂²	1	1	yes	characteristic, complemented
37	#72314482	C₂²	1	1	yes	characteristic, complemented
38	#72312813	C₂	1	1	yes	maximal, characteristic, complemented
39	#72312328	C₂²	1	1	yes	characteristic, complemented
40	#72312279	C₂	1	1	yes	maximal, characteristic, complemented
41	#72312258	C₂²	1	1	yes	characteristic, complemented
42	#72312241	C₂²	1	1	yes	characteristic, complemented
43	#72312226	C₂²	1	1	yes	characteristic, complemented
44	#72312205	C₂²	1	1	yes	characteristic, complemented
45	#72312179	C₂²	1	1	yes	characteristic, complemented
46	#72310437	C₂	1	1	yes	maximal, characteristic, complemented
47	#72310427	C₂	1	1	yes	maximal, characteristic, complemented
48	#72310419	C₂²	1	1	yes	characteristic, complemented
49	#72310395	C₂²	1	1	yes	characteristic, complemented
50	#72310395	C₂²	1	1	yes	characteristic, complemented
51	#72310383	C₂	1	1	yes	maximal, characteristic, complemented
52	#72310380	C₂²	1	1	yes	characteristic, complemented
53	#72310380	C₂²	1	1	yes	characteristic, complemented
54	#72310339	C₂²	1	1	yes	characteristic, complemented
55	#72310339	C₂²	1	1	yes	characteristic, complemented
56	#72310339	C₂²	1	1	yes	characteristic, complemented
57	#72310332	C₂²	1	1	yes	characteristic, complemented
58	#72310332	C₂²	1	1	yes	characteristic, complemented
59	#72310327	C₂²	1	1	yes	characteristic, complemented
60	#72310314	C₂	1	1	yes	maximal, characteristic, complemented
61	#72310304	C₂²	1	1	yes	characteristic, complemented
62	#72310304	C₂²	1	1	yes	characteristic, complemented
63	#72310299	C₂²	1	1	yes	characteristic, complemented
64	#72310299	C₂²	1	1	yes	characteristic, complemented
65	#72310297	C₂²	1	1	yes	characteristic, complemented
66	#72310297	C₂²	1	1	yes	characteristic, complemented
67	#72310295	C₂²	1	1	yes	characteristic, complemented
68	#72310290	C₂²	1	1	yes	characteristic, complemented
69	#72310285	C₂²	1	1	yes	characteristic, complemented
70	#72310068	C₂	1	1	yes	maximal, characteristic, complemented
71	#72310049	C₂²	1	1	yes	characteristic, complemented
72	#72309608	C₂	1	1	yes	maximal, characteristic, complemented
73	#72309591	C₂²	1	1	yes	characteristic, complemented
74	#72309591	C₂²	1	1	yes	characteristic, complemented
75	#72309583	C₂²	1	1	yes	characteristic, complemented
76	#72309583	C₂²	1	1	yes	characteristic, complemented
77	#72309574	C₂²	1	1	yes	characteristic, complemented
78	#72309574	C₂²	1	1	yes	characteristic, complemented
79	#72309563	C₂²	1	1	yes	characteristic, complemented
80	#72309548	C₂²	1	1	yes	characteristic, complemented
81	#72309548	C₂²	1	1	yes	characteristic, complemented
82	#72309539	C₂²	1	1	yes	characteristic, complemented
83	#72309539	C₂²	1	1	yes	characteristic, complemented
84	#72309519	C₂²	1	1	yes	characteristic, complemented
85	#72309505	C₂	1	1	yes	maximal, characteristic, complemented
86	#72309490	C₂²	1	1	yes	characteristic, complemented
87	#72309483	C₂²	1	1	yes	characteristic, complemented
88	#72309472	C₂²	1	1	yes	characteristic, complemented
89	#72309452	C₂²	1	1	yes	characteristic, complemented
90	#72309452	C₂²	1	1	yes	characteristic, complemented
91	#72309452	C₂²	1	1	yes	characteristic, complemented
92	#72309452	C₂²	1	1	yes	characteristic, complemented
93	#72309452	C₂²	1	1	yes	characteristic, complemented
94	#72309452	C₂²	1	1	yes	characteristic, complemented
95	#72309452	C₂²	1	1	yes	characteristic, complemented
96	#72309421	C₂²	1	1	yes	characteristic, complemented
97	#72309380	C₂²	1	1	yes	characteristic, complemented
98	#72309379	C₂²	1	1	yes	characteristic, complemented
99	#72309341	C₂²	1	1	yes	characteristic, complemented
100	#72309325	D₄	1	1	yes	characteristic, complemented
101	#72309324	D₄	1	1	yes	characteristic, complemented
102	#72309324	D₄	1	1	yes	characteristic, complemented
103	#72309310	C₂²	1	1	yes	characteristic, complemented
104	#72309310	C₂²	1	1	yes	characteristic, complemented
105	#72266876	C₂	1	1	yes	maximal, characteristic, complemented
106	#72266875	C₂²	1	1	yes	characteristic, complemented
107	#72266873	C₂²	1	1	yes	characteristic, complemented
108	#72266870	C₂²	1	1	yes	characteristic, complemented
109	#72266839	C₂	1	1	yes	maximal, characteristic, complemented
110	#72266836	C₂²	1	1	yes	characteristic, complemented
111	#72266831	C₂²	1	1	yes	characteristic
112	#72266814	C₂²	1	1	yes	characteristic
113	#72266813	D₄	1	1	yes	characteristic, complemented
114	#72266811	D₄	1	1	yes	characteristic, complemented
115	#72266809	D₄	1	1	yes	characteristic, complemented
116	#72266809	D₄	1	1	yes	characteristic, complemented
117	#72266809	D₄	1	1	yes	characteristic, complemented
118	#72266809	D₄	1	1	yes	characteristic, complemented
119	#72266804	D₄	1	1	yes	characteristic, complemented
120	#72266073	C₂³	1	1	yes	characteristic
121	#72266065	C₂³	1	1	yes	characteristic
122	#72266028	C₂³	1	1	yes	characteristic
123	#72266028	C₂³	1	1	yes	characteristic
124	#72265678	C₂²	1	1	yes	characteristic, complemented
125	#72264815	C₂²	1	1	yes	characteristic
126	#72264799	C₂²	1	1	yes	characteristic, complemented
127	#72264799	C₂²	1	1	yes	characteristic, complemented
128	#72264793	C₂²	1	1	yes	characteristic
129	#72264793	C₂²	1	1	yes	characteristic
130	#72264793	C₂²	1	1	yes	characteristic
131	#72264793	C₂²	1	1	yes	characteristic, complemented
132	#72264793	C₂²	1	1	yes	characteristic, complemented
133	#72264793	C₂²	1	1	yes	characteristic, complemented
134	#72264793	C₂²	1	1	yes	characteristic, complemented
135	#72264784	C₂²	1	1	yes	characteristic, complemented
136	#72264784	C₂²	1	1	yes	characteristic, complemented
137	#72262455	C₂	1	1	yes	maximal, characteristic, complemented
138	#72262357	C₂²	1	1	yes	characteristic, complemented
139	#72262357	C₂²	1	1	yes	characteristic, complemented
140	#72262349	C₂²	1	1	yes	characteristic
141	#72262349	C₂²	1	1	yes	characteristic
142	#72262349	C₂²	1	1	yes	characteristic
143	#72262349	C₂²	1	1	yes	characteristic, complemented
144	#72262349	C₂²	1	1	yes	characteristic, complemented
145	#72262349	C₂²	1	1	yes	characteristic, complemented
146	#72262349	C₂²	1	1	yes	characteristic, complemented
147	#72262330	C₂²	1	1	yes	characteristic, complemented
148	#72262330	C₂²	1	1	yes	characteristic, complemented
149	#72262328	C₂²	1	1	yes	characteristic
150	#72262328	C₂²	1	1	yes	characteristic
151	#72258998	C₂²	1	1	yes	characteristic, complemented
152	#72258993	C₂²	1	1	yes	characteristic, complemented
153	#72258926	C₂²	1	1	yes	characteristic
154	#72258757	C₂²	1	1	yes	characteristic
155	#72251565	C₂²	1	1	yes	characteristic
156	#72251547	C₂²	1	1	yes	characteristic, complemented
157	#72251547	C₂²	1	1	yes	characteristic, complemented
158	#72251523	C₂²	1	1	yes	characteristic, complemented
159	#72251523	C₂²	1	1	yes	characteristic, complemented
160	#72251479	C₂²	1	1	yes	characteristic, complemented
161	#72251291	C₂²	1	1	yes	characteristic
162	#72251277	C₂²	1	1	yes	characteristic
163	#72251218	C₂²	1	1	yes	characteristic
164	#72251212	C₂²	1	1	yes	characteristic
165	#72251171	D₄	1	1	yes	characteristic, complemented
166	#72251157	D₄	1	1	yes	characteristic, complemented
167	#72251143	D₄	1	1	yes	characteristic, complemented
168	#72251140	D₄	1	1	yes	characteristic, complemented
169	#72251140	D₄	1	1	yes	characteristic, complemented
170	#72251108	D₄	1	1	yes	characteristic, complemented
171	#72251103	D₄	1	1	yes	characteristic, complemented
172	#72251073	D₄	1	1	yes	characteristic, complemented
173	#72251054	D₄	1	1	yes	characteristic, complemented
174	#72240489	C₂²	1	1	yes	characteristic, complemented
175	#72240471	D₄	1	1	yes	characteristic, complemented
176	#72238614	C₂²	1	1	yes	characteristic, complemented
177	#72238613	D₄	1	1	yes	characteristic, complemented
178	#72238613	D₄	1	1	yes	characteristic, complemented
179	#72238613	D₄	1	1	yes	characteristic, complemented
180	#72238612	D₄	1	1	yes	characteristic, complemented
181	#72238611	D₄	1	1	yes	characteristic, complemented
182	#72238352	C₂²	1	1	yes	characteristic, complemented
183	#72238352	C₂²	1	1	yes	characteristic, complemented
184	#72238345	C₂²	1	1	yes	characteristic, complemented
185	#72238345	C₂²	1	1	yes	characteristic, complemented
186	#72238344	C₂²	1	1	yes	characteristic, complemented
187	#72238344	C₂²	1	1	yes	characteristic, complemented
188	#72237903	D₄	1	1	yes	characteristic, complemented
189	#72237900	D₄	1	1	yes	characteristic, complemented
190	#72237900	D₄	1	1	yes	characteristic, complemented
191	#72237900	D₄	1	1	yes	characteristic, complemented
192	#72237899	D₄	1	1	yes	characteristic, complemented
193	#72237899	D₄	1	1	yes	characteristic, complemented
194	#72237829	D₄	1	1	yes	characteristic, complemented
195	#72237829	D₄	1	1	yes	characteristic, complemented
196	#72237591	C₂²	1	1	yes	characteristic, complemented
197	#72237423	C₂²	1	1	yes	characteristic, complemented
198	#72237400	C₂³	1	1	yes	characteristic
199	#72237400	C₂³	1	1	yes	characteristic
200	#72237398	C₂³	1	1	yes	characteristic
201	#72237398	C₂³	1	1	yes	characteristic
202	#72237398	C₂³	1	1	yes	characteristic
203	#72237398	C₂³	1	1	yes	characteristic
204	#72236365	D₄	1	1	yes	characteristic, complemented
205	#72235847	C₂³	1	1	yes	characteristic
206	#72234953	D₄	1	1	yes	characteristic, complemented
207	#72234693	D₄	1	1	yes	characteristic, complemented
208	#72234668	C₂³	1	1	yes	characteristic
209	#72234663	C₂³	1	1	yes	characteristic
210	#72234661	C₂³	1	1	yes	characteristic
211	#72234661	C₂³	1	1	yes	characteristic
212	#72234600	C₂²	1	1	yes	characteristic
213	#72232884	C₂³	1	1	yes	characteristic
214	#72225747	C₂²	1	1	yes	characteristic
215	#72225745	D₄	1	1	yes	characteristic, complemented
216	#72225744	D₄	1	1	yes	characteristic, complemented
217	#72225743	D₄	1	1	yes	characteristic, complemented
218	#72225742	D₄	1	1	yes	characteristic, complemented
219	#72225742	D₄	1	1	yes	characteristic, complemented
220	#72225741	D₄	1	1	yes	characteristic, complemented
221	#72225740	D₄	1	1	yes	characteristic, complemented
222	#72225729	C₂²	1	1	yes	characteristic, complemented
223	#72225713	C₂³	1	1	yes	characteristic
224	#72225710	C₂²	1	1	yes	characteristic, complemented
225	#72225688	C₂²	1	1	yes	characteristic, complemented
226	C₂×#7266798	D₄	1	1	yes	characteristic, complemented
227	#72225676	C₂²	1	1	yes	characteristic, complemented
228	#72225667	C₂³	1	1	yes	characteristic
229	#72225667	C₂³	1	1	yes	characteristic
230	#72225667	C₂³	1	1	yes	characteristic
231	#72225664	C₂²	1	1	yes	characteristic, complemented
232	#72225650	C₂³	1	1	yes	characteristic
233	#72225650	C₂³	1	1	yes	characteristic
234	#72225648	C₂²	1	1	yes	characteristic
235	#72225647	D₄	1	1	yes	characteristic, complemented
236	#72225646	D₄	1	1	yes	characteristic, complemented
237	#72225644	D₄	1	1	yes	characteristic, complemented
238	#72225641	D₄	1	1	yes	characteristic, complemented
239	#72225639	D₄	1	1	yes	characteristic, complemented
240	#72225635	D₄	1	1	yes	characteristic, complemented
241	#72225619	C₂³	1	1	yes	characteristic
242	#72225619	C₂³	1	1	yes	characteristic
243	#72225619	C₂³	1	1	yes	characteristic
244	#72225617	C₂³	1	1	yes	characteristic
245	#72225617	C₂³	1	1	yes	characteristic
246	#72225617	C₂³	1	1	yes	characteristic
247	#72225617	C₂³	1	1	yes	characteristic
248	#72225617	C₂³	1	1	yes	characteristic
249	#72225617	C₂³	1	1	yes	characteristic
250	#72225617	C₂³	1	1	yes	characteristic
251	#72225617	C₂³	1	1	yes	characteristic
252	#72225617	C₂³	1	1	yes	characteristic
253	#72225617	C₂³	1	1	yes	characteristic
254	C₂×#115348	C₂³	1	1	yes	characteristic
255	#72224136	C₂³	1	1	yes	characteristic
256	#72219455	C₂²	1	1	yes	characteristic, complemented
257	#72219455	C₂²	1	1	yes	characteristic, complemented
258	#72219445	C₂²	1	1	yes	characteristic, complemented
259	#72219445	C₂²	1	1	yes	characteristic, complemented
260	#72219425	C₂²	1	1	yes	characteristic, complemented
261	#72219418	C₂³	1	1	yes	characteristic
262	#72219418	C₂³	1	1	yes	characteristic
263	#72219418	C₂³	1	1	yes	characteristic
264	#72219418	C₂³	1	1	yes	characteristic
265	#72219418	C₂³	1	1	yes	characteristic
266	#72219418	C₂³	1	1	yes	characteristic
267	#72219418	C₂³	1	1	yes	characteristic
268	#72219418	C₂³	1	1	yes	characteristic
269	#72219418	C₂³	1	1	yes	characteristic
270	#72219415	C₂³	1	1	yes	characteristic
271	#72219414	C₂³	1	1	yes	characteristic
272	#72219414	C₂³	1	1	yes	characteristic
273	#72219414	C₂³	1	1	yes	characteristic
274	#72219414	C₂³	1	1	yes	characteristic
275	#72219414	C₂³	1	1	yes	characteristic
276	#72219414	C₂³	1	1	yes	characteristic
277	#72219311	C₂³	1	1	yes	characteristic
278	#72219311	C₂³	1	1	yes	characteristic
279	#72219301	C₂³	1	1	yes	characteristic
280	#72219301	C₂³	1	1	yes	characteristic
281	#72219301	C₂³	1	1	yes	characteristic
282	#72219300	C₂³	1	1	yes	characteristic
283	#72219300	C₂³	1	1	yes	characteristic
284	#72219298	C₂²	1	1	yes	characteristic, complemented
285	#72219257	C₂³	1	1	yes	characteristic
286	#72219256	C₂²	1	1	yes	characteristic, complemented
287	#72219256	C₂²	1	1	yes	characteristic, complemented
288	#72219251	C₂³	1	1	yes	characteristic
289	#72219251	C₂³	1	1	yes	characteristic
290	#72219248	C₂³	1	1	yes	characteristic
291	#72219248	C₂³	1	1	yes	characteristic
292	#72219248	C₂³	1	1	yes	characteristic
293	#72219248	C₂³	1	1	yes	characteristic
294	#72219248	C₂³	1	1	yes	characteristic
295	#72219248	C₂³	1	1	yes	characteristic
296	#72219243	C₂³	1	1	yes	characteristic
297	#72219243	C₂³	1	1	yes	characteristic
298	#72219239	C₂²	1	1	yes	characteristic, complemented
299	#72219237	C₂³	1	1	yes	characteristic
300	#72219237	C₂³	1	1	yes	characteristic
301	#72219237	C₂³	1	1	yes	characteristic
302	#72219237	C₂³	1	1	yes	characteristic
303	#72219237	C₂³	1	1	yes	characteristic
304	#72219237	C₂³	1	1	yes	characteristic
305	#72219229	C₂³	1	1	yes	characteristic
306	#72219229	C₂³	1	1	yes	characteristic
307	#72219228	C₂³	1	1	yes	characteristic
308	#72219228	C₂³	1	1	yes	characteristic
309	#72219228	C₂³	1	1	yes	characteristic
310	#72219227	C₂³	1	1	yes	characteristic
311	#72219225	C₂³	1	1	yes	characteristic
312	C₂²×#8534	C₂³	1	1	yes	characteristic
313	C₂²×#8534	C₂³	1	1	yes	characteristic
314	C₂²×#8534	C₂³	1	1	yes	characteristic
315	C₂²×#8534	C₂³	1	1	yes	characteristic
316	C₂×#394058	C₂³	1	1	yes	characteristic
317	C₂×#359428	C₂³	1	1	yes	characteristic
318	#72219157	D₄	1	1	yes	characteristic, complemented
319	#72218868	C₂²	1	1	yes	characteristic, complemented
320	#72218868	C₂²	1	1	yes	characteristic, complemented
321	#72218856	C₂²	1	1	yes	characteristic, complemented
322	#72218847	C₂²	1	1	yes	characteristic, complemented
323	#72218841	C₂²	1	1	yes	characteristic, complemented
324	#72218522	C₂²	1	1	yes	characteristic, complemented
325	#72218522	C₂²	1	1	yes	characteristic, complemented
326	#72218518	C₂³	1	1	yes	characteristic
327	#72218518	C₂³	1	1	yes	characteristic
328	#72218498	C₂³	1	1	yes	characteristic
329	#72218498	C₂³	1	1	yes	characteristic
330	#72218498	C₂³	1	1	yes	characteristic
331	#72218498	C₂³	1	1	yes	characteristic
332	#72218498	C₂³	1	1	yes	characteristic
333	#72218498	C₂³	1	1	yes	characteristic
334	#72218477	C₂²	1	1	yes	characteristic, complemented
335	#72218455	C₂³	1	1	yes	characteristic
336	#72218455	C₂³	1	1	yes	characteristic
337	#72218451	C₂³	1	1	yes	characteristic
338	#72218381	C₂³	1	1	yes	characteristic
339	#72218381	C₂³	1	1	yes	characteristic
340	#72218381	C₂³	1	1	yes	characteristic
341	#72218381	C₂³	1	1	yes	characteristic
342	#72218381	C₂³	1	1	yes	characteristic
343	#72218381	C₂³	1	1	yes	characteristic
344	#72218313	C₂³	1	1	yes	characteristic
345	#72218313	C₂³	1	1	yes	characteristic
346	#72218306	C₂³	1	1	yes	characteristic
347	#72218306	C₂³	1	1	yes	characteristic
348	#72218306	C₂³	1	1	yes	characteristic
349	#72218306	C₂³	1	1	yes	characteristic
350	#72218222	C₂²	1	1	yes	characteristic, complemented
351	#72218198	C₂³	1	1	yes	characteristic
352	#72218198	C₂³	1	1	yes	characteristic
353	#72218180	C₂³	1	1	yes	characteristic
354	#72218180	C₂³	1	1	yes	characteristic
355	#72218180	C₂³	1	1	yes	characteristic
356	#72218180	C₂³	1	1	yes	characteristic
357	#72218180	C₂³	1	1	yes	characteristic
358	#72218180	C₂³	1	1	yes	characteristic
359	#72218133	C₂²	1	1	yes	characteristic
360	#72218069	C₂³	1	1	yes	characteristic
361	#72218069	C₂³	1	1	yes	characteristic
362	#72218057	C₂³	1	1	yes	characteristic
363	#72218057	C₂³	1	1	yes	characteristic
364	#72218057	C₂³	1	1	yes	characteristic
365	#72218057	C₂³	1	1	yes	characteristic
366	#72218057	C₂³	1	1	yes	characteristic
367	#72218057	C₂³	1	1	yes	characteristic
368	C₂²×#23900	C₂³	1	1	yes	characteristic
369	C₂²×#23900	C₂³	1	1	yes	characteristic
370	#72217875	C₂³	1	1	yes	characteristic
371	#72217818	D₄	1	1	yes	characteristic, complemented
372	#72217789	C₂³	1	1	yes	characteristic
373	#72217699	D₄	1	1	yes	characteristic, complemented
374	#72217666	D₄	1	1	yes	characteristic, complemented
375	C₂×#6499874	D₄	1	1	yes	characteristic, complemented
376	#72217511	C₂³	1	1	yes	characteristic
377	#72216064	C₂³	1	1	yes	characteristic
378	#72215858	C₂³	1	1	yes	characteristic
379	#72215858	C₂³	1	1	yes	characteristic
380	#72215179	C₂³	1	1	yes	characteristic
381	#72215179	C₂³	1	1	yes	characteristic
382	#72213862	C₂³	1	1	yes	characteristic
383	#72213862	C₂³	1	1	yes	characteristic
384	#72213862	C₂³	1	1	yes	characteristic
385	#72213862	C₂³	1	1	yes	characteristic
386	#72213862	C₂³	1	1	yes	characteristic
387	#72213862	C₂³	1	1	yes	characteristic
388	#72213862	C₂³	1	1	yes	characteristic
389	#72213862	C₂³	1	1	yes	characteristic
390	#72210555	C₂³	1	1	yes	characteristic
391	#72210555	C₂³	1	1	yes	characteristic
392	#72210555	C₂³	1	1	yes	characteristic
393	#72210555	C₂³	1	1	yes	characteristic
394	#72210555	C₂³	1	1	yes	characteristic
395	#72210555	C₂³	1	1	yes	characteristic
396	#72210511	C₂³	1	1	yes	characteristic
397	#72210511	C₂³	1	1	yes	characteristic
398	#10586404	C₂×D₄	1	1	yes	characteristic
399	C₂×#62817	C₂×D₄	1	1	yes	characteristic
400	#10586066	C₂×D₄	1	1	yes	characteristic
401	C₂²×#3484	C₂⁴	1	1	yes	characteristic
402	C₂²×#3484	C₂⁴	1	1	yes	characteristic
403	C₂²×#3484	C₂⁴	1	1	yes	characteristic
404	C₂⁴×#120	C₂⁴	1	1	yes	characteristic
405	C₂×#60399	C₂×D₄	1	1	yes	characteristic
406	C₂×#60399	C₂×D₄	1	1	yes	characteristic
407	#7642244	C₂×D₄	1	1	yes	characteristic
408	#7642244	C₂×D₄	1	1	yes	characteristic
409	#7641846	C₂×D₄	1	1	yes	characteristic, complemented
410	#7641845	C₂×D₄	1	1	yes	characteristic
411	#7641845	C₂×D₄	1	1	yes	characteristic
412	C₂²×#2846	C₂×D₄	1	1	yes	characteristic
413	C₂²×#2846	C₂×D₄	1	1	yes	characteristic
414	C₂²×#2846	C₂×D₄	1	1	yes	characteristic, complemented
415	#7630939	C₂⁴	1	1	yes	characteristic
416	#7630939	C₂⁴	1	1	yes	characteristic
417	#7630939	C₂⁴	1	1	yes	characteristic
418	#7630939	C₂⁴	1	1	yes	characteristic
419	C₂×#34980	C₂⁴	1	1	yes	characteristic
420	#7626202	C₂×D₄	1	1	yes	characteristic
421	#7626202	C₂×D₄	1	1	yes	characteristic
422	#7626202	C₂×D₄	1	1	yes	characteristic
423	#7626202	C₂×D₄	1	1	yes	characteristic, complemented
424	C₂³×#379	C₂×D₄	1	1	yes	characteristic, complemented
425	C₂×#32873	C₂×D₄	1	1	yes	characteristic, complemented
426	C₂×#32873	C₂×D₄	1	1	yes	characteristic, complemented
427	C₂×#32873	C₂×D₄	1	1	yes	characteristic, complemented
428	#6628892	#41	1	2	yes	complemented
429	#6628892	#41	1	2	yes	complemented
430	#6440460	C₂×D₄	1	1	yes	characteristic
431	#6440460	C₂×D₄	1	1	yes	characteristic
432	#6440460	C₂×D₄	1	1	yes	characteristic
433	#6440460	C₂×D₄	1	1	yes	characteristic
434	#6440460	C₂×D₄	1	1	yes	characteristic
435	#6440460	C₂×D₄	1	1	yes	characteristic, complemented
436	C₂×#23895	C₂×D₄	1	1	yes	characteristic
437	C₂×#23895	C₂×D₄	1	1	yes	characteristic
438	C₂×#23895	C₂×D₄	1	1	yes	characteristic
439	C₂×#23895	C₂×D₄	1	1	yes	characteristic
440	C₂×#23895	C₂×D₄	1	1	yes	characteristic
441	C₂×#23895	C₂×D₄	1	1	yes	characteristic
442	C₂×#23895	C₂×D₄	1	1	yes	characteristic
443	C₂×#23895	C₂×D₄	1	1	yes	characteristic
444	C₂×#23895	C₂×D₄	1	1	yes	characteristic
445	C₂×#23895	C₂×D₄	1	1	yes	characteristic
446	C₂×#23895	C₂×D₄	1	1	yes	characteristic, complemented
447	#6437621	C₂×D₄	1	1	yes	characteristic
448	#6437621	C₂×D₄	1	1	yes	characteristic
449	#6437621	C₂×D₄	1	1	yes	characteristic
450	#6437621	C₂×D₄	1	1	yes	characteristic
451	#6437621	C₂×D₄	1	1	yes	characteristic
452	#6437621	C₂×D₄	1	1	yes	characteristic
453	#6437621	C₂×D₄	1	1	yes	characteristic
454	#6437621	C₂×D₄	1	1	yes	characteristic
455	#6437621	C₂×D₄	1	1	yes	characteristic
456	#6437621	C₂×D₄	1	1	yes	characteristic, complemented
457	C₂×#23900	C₂×D₄	1	1	yes	characteristic
458	C₂×#23900	C₂×D₄	1	1	yes	characteristic
459	C₂×#23900	C₂×D₄	1	1	yes	characteristic
460	C₂×#23900	C₂×D₄	1	1	yes	characteristic
461	C₂×#23900	C₂×D₄	1	1	yes	characteristic
462	C₂×#23900	C₂×D₄	1	1	yes	characteristic
463	C₂×#23900	C₂×D₄	1	1	yes	characteristic
464	C₂×#23900	C₂×D₄	1	1	yes	characteristic
465	C₂×#23900	C₂×D₄	1	1	yes	characteristic
466	C₂×#23900	C₂×D₄	1	1	yes	characteristic
467	C₂×#23900	C₂×D₄	1	1	yes	characteristic, complemented
468	C₂×#23900	C₂×D₄	1	1	yes	characteristic, complemented
469	#6431795	C₂×D₄	1	1	yes	characteristic
470	#6431795	C₂×D₄	1	1	yes	characteristic
471	#6431795	C₂×D₄	1	1	yes	characteristic
472	#6431795	C₂×D₄	1	1	yes	characteristic
473	#6374251	C₂×D₄	1	1	yes	characteristic
474	#6374251	C₂×D₄	1	1	yes	characteristic
475	#6374251	C₂×D₄	1	1	yes	characteristic, complemented
476	#6374210	C₂×D₄	1	1	yes	characteristic
477	#6374210	C₂×D₄	1	1	yes	characteristic
478	C₂×#21776	C₂×D₄	1	1	yes	characteristic
479	C₂×#21776	C₂×D₄	1	1	yes	characteristic
480	C₂×#21776	C₂×D₄	1	1	yes	characteristic
481	C₂×#21776	C₂×D₄	1	1	yes	characteristic
482	C₂×#21776	C₂×D₄	1	1	yes	characteristic
483	C₂×#21776	C₂×D₄	1	1	yes	characteristic
484	C₂×#21776	C₂×D₄	1	1	yes	characteristic
485	C₂×#21776	C₂×D₄	1	1	yes	characteristic
486	C₂×#21776	C₂×D₄	1	1	yes	characteristic
487	C₂×#21776	C₂×D₄	1	1	yes	characteristic
488	C₂×#21776	C₂×D₄	1	1	yes	characteristic, complemented
489	C₂×#21776	C₂×D₄	1	1	yes	characteristic, complemented
490	C₂×#21776	C₂×D₄	1	1	yes	characteristic, complemented
491	C₂×#21776	C₂×D₄	1	1	yes	characteristic, complemented
492	#6374128	C₂×D₄	1	1	yes	characteristic
493	#6374128	C₂×D₄	1	1	yes	characteristic
494	#6374128	C₂×D₄	1	1	yes	characteristic
495	#6374128	C₂×D₄	1	1	yes	characteristic, complemented
496	C₂×#21746	C₂×D₄	1	1	yes	characteristic
497	C₂×#21746	C₂×D₄	1	1	yes	characteristic
498	C₂×#21746	C₂×D₄	1	1	yes	characteristic
499	C₂×#21746	C₂×D₄	1	1	yes	characteristic
500	C₂×#21746	C₂×D₄	1	1	yes	characteristic, complemented
501	C₂×#21746	C₂×D₄	1	1	yes	characteristic, complemented
502	C₂×#21746	C₂×D₄	1	1	yes	characteristic, complemented
503	#6371558	C₂×D₄	1	1	yes	characteristic
504	#6371558	C₂×D₄	1	1	yes	characteristic
505	#6371504	C₂×D₄	1	1	yes	characteristic
506	#6371504	C₂×D₄	1	1	yes	characteristic
507	C₂²×#1898	C₂×D₄	1	1	yes	characteristic
508	C₂²×#1898	C₂×D₄	1	1	yes	characteristic
509	C₂²×#1898	C₂×D₄	1	1	yes	characteristic, complemented
510	#6371007	C₂×D₄	1	1	yes	characteristic
511	#6371007	C₂×D₄	1	1	yes	characteristic
512	#6370693	C₂×D₄	1	1	yes	characteristic
513	#6370693	C₂×D₄	1	1	yes	characteristic
514	#6370693	C₂×D₄	1	1	yes	characteristic
515	#6370693	C₂×D₄	1	1	yes	characteristic
516	#6370693	C₂×D₄	1	1	yes	characteristic
517	C₂²×#1781	C₂⁴	1	1	yes	characteristic
518	C₂²×#1781	C₂⁴	1	1	yes	characteristic
519	C₂²×#1781	C₂⁴	1	1	yes	characteristic
520	C₂²×#1781	C₂⁴	1	1	yes	characteristic
521	C₂²×#1781	C₂⁴	1	1	yes	characteristic
522	C₂²×#1781	C₂⁴	1	1	yes	characteristic
523	C₂×#14679	C₂×D₄	1	1	yes	characteristic, complemented
524	C₂×#14679	C₂×D₄	1	1	yes	characteristic, complemented
525	#517411	C₂⁴	1	1	yes	characteristic
526	#517411	C₂⁴	1	1	yes	characteristic
527	C₂²×#1438	C₂⁴	1	1	yes	characteristic
528	C₂²×#1438	C₂⁴	1	1	yes	characteristic
529	#392699	#41	1	2	yes	complemented
530	#392699	#41	1	2	yes	complemented
531	#392231	C₂×D₄	1	1	yes	characteristic
532	#392231	C₂×D₄	1	1	yes	characteristic
533	#392113	C₂⁴	1	1	yes	characteristic
534	#392113	C₂⁴	1	1	yes	characteristic
535	#392109	C₂⁴	1	1	yes	characteristic
536	#392109	C₂⁴	1	1	yes	characteristic
537	#392109	C₂⁴	1	1	yes	characteristic
538	#392109	C₂⁴	1	1	yes	characteristic
539	#392109	C₂⁴	1	1	yes	characteristic
540	#392109	C₂⁴	1	1	yes	characteristic
541	#392109	C₂⁴	1	1	yes	characteristic
542	#392109	C₂⁴	1	1	yes	characteristic
543	#392109	C₂⁴	1	1	yes	characteristic
544	#392109	C₂⁴	1	1	yes	characteristic
545	#392030	C₂×D₄	1	1	yes	characteristic, complemented
546	#392030	C₂×D₄	1	1	yes	characteristic, complemented
547	#392030	C₂×D₄	1	1	yes	characteristic, complemented
548	#392030	C₂×D₄	1	1	yes	characteristic, complemented
549	#392030	C₂×D₄	1	1	yes	characteristic, complemented
550	#392030	C₂×D₄	1	1	yes	characteristic, complemented
551	#392030	C₂×D₄	1	1	yes	characteristic, complemented
552	#392030	C₂×D₄	1	1	yes	characteristic, complemented
553	#392030	C₂×D₄	1	1	yes	characteristic, complemented
554	#382707	C₂×D₄	1	1	yes	characteristic, complemented
555	#382707	C₂×D₄	1	1	yes	characteristic, complemented
556	#382544	C₂×D₄	1	1	yes	characteristic
557	#382544	C₂×D₄	1	1	yes	characteristic
558	#382544	C₂×D₄	1	1	yes	characteristic
559	#382544	C₂×D₄	1	1	yes	characteristic
560	#382544	C₂×D₄	1	1	yes	characteristic
561	#382544	C₂×D₄	1	1	yes	characteristic
562	#382544	C₂×D₄	1	1	yes	characteristic, complemented
563	#382544	C₂×D₄	1	1	yes	characteristic, complemented
564	#382544	C₂×D₄	1	1	yes	characteristic, complemented
565	#382544	C₂×D₄	1	1	yes	characteristic, complemented
566	#382434	C₂×D₄	1	1	yes	characteristic
567	#382434	C₂×D₄	1	1	yes	characteristic
568	#382434	C₂×D₄	1	1	yes	characteristic
569	#382434	C₂×D₄	1	1	yes	characteristic
570	#382434	C₂×D₄	1	1	yes	characteristic
571	#382434	C₂×D₄	1	1	yes	characteristic
572	#382434	C₂×D₄	1	1	yes	characteristic
573	#382434	C₂×D₄	1	1	yes	characteristic
574	#382434	C₂×D₄	1	1	yes	characteristic
575	#382434	C₂×D₄	1	1	yes	characteristic
576	#382434	C₂×D₄	1	1	yes	characteristic, complemented
577	#382434	C₂×D₄	1	1	yes	characteristic, complemented
578	#382434	C₂×D₄	1	1	yes	characteristic, complemented
579	#382434	C₂×D₄	1	1	yes	characteristic, complemented
580	#382422	C₂×D₄	1	1	yes	characteristic, complemented
581	#382422	C₂×D₄	1	1	yes	characteristic, complemented
582	#373637	C₂×D₄	1	1	yes	characteristic
583	#373637	C₂×D₄	1	1	yes	characteristic
584	#373637	C₂×D₄	1	1	yes	characteristic, complemented
585	#359811	C₂×D₄	1	1	yes	characteristic
586	#359811	C₂×D₄	1	1	yes	characteristic, complemented
587	#359549	C₂×D₄	1	1	yes	characteristic
588	#359549	C₂×D₄	1	1	yes	characteristic
589	#359549	C₂×D₄	1	1	yes	characteristic
590	#359549	C₂×D₄	1	1	yes	characteristic
591	#359549	C₂×D₄	1	1	yes	characteristic
592	#359549	C₂×D₄	1	1	yes	characteristic
593	#359549	C₂×D₄	1	1	yes	characteristic
594	#359549	C₂×D₄	1	1	yes	characteristic
595	#359549	C₂×D₄	1	1	yes	characteristic
596	#359549	C₂×D₄	1	1	yes	characteristic
597	#359549	C₂×D₄	1	1	yes	characteristic
598	#359549	C₂×D₄	1	1	yes	characteristic
599	#359549	C₂×D₄	1	1	yes	characteristic, complemented
600	#359549	C₂×D₄	1	1	yes	characteristic, complemented
601	#359501	C₂×D₄	1	1	yes	characteristic
602	#359501	C₂×D₄	1	1	yes	characteristic
603	#359501	C₂×D₄	1	1	yes	characteristic, complemented
604	#359501	C₂×D₄	1	1	yes	characteristic, complemented
605	#359442	C₂×D₄	1	1	yes	characteristic
606	#359442	C₂×D₄	1	1	yes	characteristic
607	#359442	C₂×D₄	1	1	yes	characteristic
608	#359442	C₂×D₄	1	1	yes	characteristic
609	#359442	C₂×D₄	1	1	yes	characteristic
610	#359442	C₂×D₄	1	1	yes	characteristic, complemented
611	#355913	C₂×D₄	1	1	yes	characteristic, complemented
612	#355913	C₂×D₄	1	1	yes	characteristic, complemented
613	#355913	C₂×D₄	1	1	yes	characteristic, complemented
614	#355913	C₂×D₄	1	1	yes	characteristic, complemented
615	#355913	C₂×D₄	1	1	yes	characteristic, complemented
616	#355096	C₂×D₄	1	1	yes	characteristic
617	#355096	C₂×D₄	1	1	yes	characteristic
618	#355096	C₂×D₄	1	1	yes	characteristic
619	#355096	C₂×D₄	1	1	yes	characteristic
620	#355096	C₂×D₄	1	1	yes	characteristic
621	#355096	C₂×D₄	1	1	yes	characteristic
622	#355096	C₂×D₄	1	1	yes	characteristic, complemented
623	#355096	C₂×D₄	1	1	yes	characteristic, complemented
624	#355096	C₂×D₄	1	1	yes	characteristic, complemented
625	#355096	C₂×D₄	1	1	yes	characteristic, complemented
626	C₂×#10735	C₂×D₄	1	1	yes	characteristic, complemented
627	C₂×#10725	C₂×D₄	1	1	yes	characteristic, complemented
628	C₂×#10725	C₂×D₄	1	1	yes	characteristic, complemented
629	C₂⁸	C₂²×D₄	1	1	yes	characteristic
630	C₂×H(7,𝔽₂)	#120	1	1	yes	characteristic
631	C₂³×H(5,𝔽₂)	C₂²×D₄	1	1	yes	characteristic
632	C₂³×H(5,𝔽₂)	C₂×#41	1	1	yes	characteristic, complemented
633	C₂³×H(5,𝔽₂)	C₂×#41	1	1	yes	characteristic, complemented
634	C₂⁵×D₄	C₂⁵	1	1	yes	characteristic
635	#62842	#120	1	1	yes	characteristic
636	#62842	#120	1	1	yes	characteristic
637	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
638	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
639	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
640	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
641	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
642	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
643	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
644	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
645	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
646	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
647	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
648	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
649	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
650	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
651	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
652	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
653	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
654	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
655	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
656	C₂×#3484	C₂²×D₄	1	1	yes	characteristic
657	C₂²×#534	C₂²×D₄	1	1	yes	characteristic
658	C₂²×#534	C₂²×D₄	1	1	yes	characteristic
659	C₂²×#534	C₂²×D₄	1	1	yes	characteristic
660	C₂²×#534	C₂²×D₄	1	1	yes	characteristic
661	C₂³×#120	C₂²×D₄	1	1	yes	characteristic
662	C₂³×#120	C₂²×D₄	1	1	yes	characteristic
663	C₂³×#120	C₂²×D₄	1	1	yes	characteristic
664	C₂³×#120	C₂²×D₄	1	1	yes	characteristic
665	C₂³×#120	C₂²×D₄	1	1	yes	characteristic
666	C₂³×#120	C₂²×D₄	1	1	yes	characteristic
667	C₂³×#120	C₂²×D₄	1	1	yes	characteristic
668	#62652	#120	1	1	yes	characteristic
669	C₂²×#518	C₂²×D₄	1	1	yes	characteristic
670	C₂²×#518	C₂×#41	1	1	yes	characteristic, complemented
671	C₂²×#518	C₂×#41	1	1	yes	characteristic, complemented
672	C₂⁴×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
673	C₂×#3026	#120	1	1	yes	characteristic
674	C₂×#3026	#120	1	1	yes	characteristic
675	C₂×#3026	#120	1	1	yes	characteristic
676	C₂×#3026	#120	1	1	yes	characteristic
677	C₂×#3026	#120	1	1	yes	characteristic
678	C₂×#3026	#120	1	1	yes	characteristic
679	C₂×#3026	#120	1	1	yes	characteristic
680	C₂×#3026	#120	1	1	yes	characteristic
681	C₂×#2883	#120	1	1	yes	characteristic
682	C₂×#2883	#120	1	1	yes	characteristic
683	C₂×#2883	#120	1	1	yes	characteristic
684	C₂×#2883	#120	1	1	yes	characteristic
685	C₂×#2883	#120	1	1	yes	characteristic
686	C₂×#2883	#120	1	1	yes	characteristic
687	C₂×#2883	#120	1	1	yes	characteristic
688	C₂×#2883	#120	1	1	yes	characteristic
689	C₂×#2883	#120	1	1	yes	characteristic
690	C₂×#2883	#120	1	1	yes	characteristic
691	C₂×#2883	#120	1	1	yes	characteristic
692	C₂×#2883	#120	1	1	yes	characteristic
693	C₂×#2846	#120	1	1	yes	characteristic
694	C₂×#2846	#120	1	1	yes	characteristic
695	C₂×#2846	#120	1	1	yes	characteristic
696	C₂×#2846	#120	1	1	yes	characteristic
697	C₂×#2846	#120	1	1	yes	characteristic
698	C₂×#2846	#120	1	1	yes	characteristic
699	C₂×#2846	#120	1	1	yes	characteristic
700	C₂×#2846	#120	1	1	yes	characteristic
701	C₂×#2846	H(5,𝔽₂)	1	2	yes	—
702	#34992	#120	1	1	yes	characteristic
703	#34992	#120	1	1	yes	characteristic
704	#34992	#120	1	1	yes	characteristic
705	#34992	#120	1	1	yes	characteristic
706	#34980	#120	1	1	yes	characteristic
707	#34980	#120	1	1	yes	characteristic
708	#34980	#120	1	1	yes	characteristic
709	#34980	#120	1	1	yes	characteristic
710	#34980	C₂×#41	1	2	yes	—
711	#34980	C₂×#41	1	2	yes	—
712	#34980	H(5,𝔽₂)	1	2	yes	—
713	#34176	#120	1	1	yes	characteristic
714	#34176	#120	1	1	yes	characteristic
715	#34176	#120	1	1	yes	characteristic
716	#34176	#120	1	1	yes	characteristic
717	#34171	#120	1	1	yes	characteristic
718	#34171	#120	1	1	yes	characteristic
719	#34171	#120	1	1	yes	characteristic
720	#34171	#120	1	1	yes	characteristic
721	#34171	C₂²×D₄	1	1	yes	characteristic
722	#34171	C₂²×D₄	1	1	yes	characteristic
723	#34171	C₂²×D₄	1	1	yes	characteristic
724	#34171	C₂²×D₄	1	1	yes	characteristic
725	#34171	C₂²×D₄	1	1	yes	characteristic
726	#34171	C₂²×D₄	1	1	yes	characteristic
727	#34171	C₂²×D₄	1	1	yes	characteristic
728	#34171	C₂²×D₄	1	1	yes	characteristic
729	#34171	C₂²×D₄	1	1	yes	characteristic
730	#34171	C₂²×D₄	1	1	yes	characteristic
731	#34171	C₂²×D₄	1	1	yes	characteristic
732	#34171	C₂²×D₄	1	1	yes	characteristic
733	C₂×#2308	C₂²×D₄	1	1	yes	characteristic
734	C₂×#2308	C₂²×D₄	1	1	yes	characteristic
735	C₂²×#379	C₂²×D₄	1	1	yes	characteristic
736	C₂²×#379	C₂²×D₄	1	1	yes	characteristic
737	C₂²×#379	C₂²×D₄	1	1	yes	characteristic
738	C₂²×#379	C₂²×D₄	1	1	yes	characteristic
739	C₂²×#379	C₂²×D₄	1	1	yes	characteristic
740	C₂²×#379	C₂²×D₄	1	1	yes	characteristic
741	C₂²×#379	C₂²×D₄	1	1	yes	characteristic
742	C₂²×#379	C₂²×D₄	1	1	yes	characteristic
743	C₂²×#379	C₂²×D₄	1	1	yes	characteristic
744	C₂×#1913	#120	1	1	yes	characteristic
745	C₂×#1913	#120	1	1	yes	characteristic
746	C₂×#1913	#120	1	1	yes	characteristic
747	C₂×#1913	#120	1	1	yes	characteristic
748	C₂×#1913	#120	1	1	yes	characteristic
749	C₂×#1913	#120	1	1	yes	characteristic
750	C₂×#1913	#120	1	1	yes	characteristic
751	C₂×#1913	#120	1	1	yes	characteristic
752	C₂×#1913	#120	1	1	yes	characteristic
753	C₂×#1913	#120	1	1	yes	characteristic
754	C₂×#1913	#120	1	1	yes	characteristic
755	C₂×#1913	#120	1	1	yes	characteristic
756	C₂×#1913	#120	1	1	yes	characteristic
757	C₂×#1913	#120	1	1	yes	characteristic
758	C₂×#1913	#120	1	1	yes	characteristic
759	C₂×#1913	#120	1	1	yes	characteristic
760	C₂×#1898	#120	1	1	yes	characteristic
761	C₂×#1898	#120	1	1	yes	characteristic
762	C₂×#1898	#120	1	1	yes	characteristic
763	C₂×#1898	#120	1	1	yes	characteristic
764	C₂×#1898	#120	1	1	yes	characteristic
765	C₂×#1898	#120	1	1	yes	characteristic
766	C₂×#1898	#120	1	1	yes	characteristic
767	C₂×#1898	#120	1	1	yes	characteristic
768	C₂×#1898	#120	1	1	yes	characteristic
769	C₂×#1898	#120	1	1	yes	characteristic
770	C₂×#1898	#120	1	1	yes	characteristic
771	C₂×#1898	#120	1	1	yes	characteristic
772	C₂×#1898	#120	1	1	yes	characteristic
773	C₂×#1898	#120	1	1	yes	characteristic
774	C₂×#1898	#120	1	1	yes	characteristic
775	C₂×#1898	#120	1	1	yes	characteristic
776	#20960	#120	1	1	yes	characteristic
777	#20960	#120	1	1	yes	characteristic
778	#20960	#120	1	1	yes	characteristic
779	#20960	#120	1	1	yes	characteristic
780	#20960	#120	1	1	yes	characteristic
781	#20960	#120	1	1	yes	characteristic
782	#20960	#120	1	1	yes	characteristic
783	#20960	#120	1	1	yes	characteristic
784	C₂×#1828	#120	1	1	yes	characteristic
785	C₂×#1828	#120	1	1	yes	characteristic
786	C₂×#1828	#120	1	1	yes	characteristic
787	C₂×#1828	#120	1	1	yes	characteristic
788	C₂×#1828	#120	1	1	yes	characteristic
789	C₂×#1828	#120	1	1	yes	characteristic
790	C₂×#1828	#120	1	1	yes	characteristic
791	C₂×#1828	#120	1	1	yes	characteristic
792	C₂×#1819	#120	1	1	yes	characteristic
793	C₂×#1819	#120	1	1	yes	characteristic
794	C₂×#1819	#120	1	1	yes	characteristic
795	C₂×#1819	#120	1	1	yes	characteristic
796	#20585	#120	1	1	yes	characteristic
797	#20585	#120	1	1	yes	characteristic
798	#20585	#120	1	1	yes	characteristic
799	#20585	#120	1	1	yes	characteristic
800	C₂×#1781	#120	1	1	yes	characteristic
801	C₂×#1781	#120	1	1	yes	characteristic
802	C₂×#1781	#120	1	1	yes	characteristic
803	C₂×#1781	#120	1	1	yes	characteristic
804	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
805	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
806	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
807	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
808	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
809	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
810	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
811	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
812	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
813	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
814	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
815	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
816	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
817	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
818	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
819	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
820	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
821	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
822	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
823	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
824	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
825	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
826	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
827	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
828	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
829	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
830	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
831	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
832	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
833	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
834	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
835	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
836	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
837	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
838	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
839	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
840	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
841	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
842	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
843	C₂×#1781	C₂²×D₄	1	1	yes	characteristic
844	C₂×#1781	C₂×#41	1	2	yes	complemented
845	C₂×#1781	C₂×#41	1	2	yes	complemented
846	#20354	#120	1	1	yes	characteristic
847	#20354	#120	1	1	yes	characteristic
848	#20354	#120	1	1	yes	characteristic
849	#20354	#120	1	1	yes	characteristic
850	C₂⁷	C₂×#120	1	1	yes	characteristic
851	C₂⁷	C₂×#120	1	1	yes	characteristic
852	C₂⁷	C₂³×D₄	1	1	yes	characteristic
853	C₂⁷	C₂×H(5,𝔽₂)	1	1	yes	characteristic
854	C₂²×H(5,𝔽₂)	C₂×#120	1	1	yes	characteristic
855	C₂²×H(5,𝔽₂)	C₂×#120	1	1	yes	characteristic
856	C₂²×H(5,𝔽₂)	C₂×#120	1	1	yes	characteristic
857	C₂²×H(5,𝔽₂)	C₂×#120	1	1	yes	characteristic
858	C₂²×H(5,𝔽₂)	C₂×#120	1	1	yes	characteristic
859	C₂²×H(5,𝔽₂)	C₂×#120	1	1	yes	characteristic
860	C₂²×H(5,𝔽₂)	C₂×#120	1	1	yes	characteristic
861	C₂²×H(5,𝔽₂)	C₂×#120	1	1	yes	characteristic
862	C₂⁴×D₄	C₂×#120	1	1	yes	characteristic
863	C₂⁴×D₄	C₂×#120	1	1	yes	characteristic
864	C₂⁴×D₄	C₂×#120	1	1	yes	characteristic
865	C₂⁴×D₄	C₂³×D₄	1	1	yes	characteristic
866	C₂⁴×D₄	C₂³×D₄	1	1	yes	characteristic
867	C₂⁴×D₄	C₂³×D₄	1	1	yes	characteristic
868	C₂⁴×D₄	C₂³×D₄	1	1	yes	characteristic
869	C₂⁴×D₄	C₂³×D₄	1	1	yes	characteristic
870	C₂⁴×D₄	C₂³×D₄	1	1	yes	characteristic
871	C₂⁴×D₄	C₂²×#41	1	1	yes	characteristic
872	C₂⁴×D₄	C₂²×#41	1	1	yes	characteristic
873	C₂⁴×D₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
874	C₂⁴×D₄	#585	1	1	yes	characteristic
875	C₂⁴×D₄	#585	1	1	yes	characteristic
876	C₂⁴×D₄	#585	1	1	yes	characteristic
877	C₂⁵×C₄	#585	1	1	yes	characteristic
878	C₂×#534	C₂×#120	1	1	yes	characteristic
879	C₂×#534	C₂×#120	1	1	yes	characteristic
880	C₂×#534	C₂×#120	1	1	yes	characteristic
881	C₂×#534	C₂×#120	1	1	yes	characteristic
882	C₂×#534	C₂×#120	1	1	yes	characteristic
883	C₂×#534	C₂×#120	1	1	yes	characteristic
884	C₂×#534	C₂×#120	1	1	yes	characteristic
885	C₂×#534	C₂×#120	1	1	yes	characteristic
886	C₂×#534	#525	1	2	yes	—
887	C₂×#534	#546	1	2	yes	—
888	C₂×#534	#546	1	2	yes	—
889	C₂²×#120	C₂×#120	1	1	yes	characteristic
890	C₂²×#120	C₂×#120	1	1	yes	characteristic
891	C₂²×#120	C₂×#120	1	1	yes	characteristic
892	C₂²×#120	C₂×#120	1	1	yes	characteristic
893	C₂²×#120	C₂×#120	1	1	yes	characteristic
894	C₂²×#120	C₂×#120	1	1	yes	characteristic
895	C₂²×#120	C₂×#120	1	1	yes	characteristic
896	C₂²×#120	C₂×#120	1	1	yes	characteristic
897	C₂²×#120	#535	1	2	yes	—
898	C₂²×#120	#546	1	2	yes	—
899	C₂²×#120	#546	1	2	yes	—
900	C₂×#518	C₂×#120	1	1	yes	characteristic
901	C₂×#518	C₂×#120	1	1	yes	characteristic
902	C₂×#518	C₂×#120	1	1	yes	characteristic
903	C₂×#518	C₂×#120	1	1	yes	characteristic
904	C₂×#518	C₂×#120	1	1	yes	characteristic
905	C₂×#518	C₂×#120	1	1	yes	characteristic
906	C₂×#518	C₂×#120	1	1	yes	characteristic
907	C₂×#518	C₂×#120	1	1	yes	characteristic
908	C₂×#518	C₂×#120	1	1	yes	characteristic
909	C₂×#518	C₂×#120	1	1	yes	characteristic
910	C₂×#518	C₂×#120	1	1	yes	characteristic
911	C₂×#518	C₂×#120	1	1	yes	characteristic
912	C₂×#518	C₂×#120	1	1	yes	characteristic
913	C₂×#518	C₂×#120	1	1	yes	characteristic
914	C₂×#518	C₂×#120	1	1	yes	characteristic
915	C₂×#518	C₂×#120	1	1	yes	characteristic
916	C₂³×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
917	C₂³×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
918	C₂³×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
919	C₂³×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
920	C₂³×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
921	C₂³×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
922	C₂³×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
923	C₂²×#99	C₂×#120	1	1	yes	characteristic
924	C₂²×#99	C₂×#120	1	1	yes	characteristic
925	C₂²×#99	C₂×#120	1	1	yes	characteristic
926	C₂²×#99	C₂×#120	1	1	yes	characteristic
927	C₂²×#99	C₂×#120	1	1	yes	characteristic
928	C₂²×#99	C₂×#120	1	1	yes	characteristic
929	C₂²×#99	C₂×#120	1	1	yes	characteristic
930	C₂²×#99	C₂×#120	1	1	yes	characteristic
931	C₂²×#99	C₂×#120	1	1	yes	characteristic
932	C₂²×#99	C₂×#120	1	1	yes	characteristic
933	C₂²×#99	C₂×#120	1	1	yes	characteristic
934	C₂²×#99	C₂×#120	1	1	yes	characteristic
935	C₂²×#99	C₂×#120	1	1	yes	characteristic
936	C₂²×#99	C₂×#120	1	1	yes	characteristic
937	C₂²×#99	C₂×#120	1	1	yes	characteristic
938	C₂²×#99	C₂×#120	1	1	yes	characteristic
939	#2849	B(4,𝔽₂)	1	2	yes	complemented
940	#2846	B(4,𝔽₂)	1	4	yes	complemented
941	#2846	B(4,𝔽₂)	1	2	yes	complemented
942	#2308	#525	1	2	yes	—
943	#2308	#546	1	2	yes	—
944	#2308	#546	1	2	yes	—
945	#2280	B(4,𝔽₂)	1	2	yes	complemented
946	C₂×#379	B(4,𝔽₂)	1	2	yes	complemented
947	C₂×#379	C₂×#120	1	1	yes	characteristic
948	C₂×#379	C₂×#120	1	1	yes	characteristic
949	C₂×#379	C₂×#120	1	1	yes	characteristic
950	C₂×#379	C₂×#120	1	1	yes	characteristic
951	C₂×#379	C₂×#120	1	1	yes	characteristic
952	C₂×#379	C₂×#120	1	1	yes	characteristic
953	C₂×#379	C₂×#120	1	1	yes	characteristic
954	C₂×#379	C₂×#120	1	1	yes	characteristic
955	C₂×#379	C₂×#120	1	1	yes	characteristic
956	C₂×#379	C₂×#120	1	1	yes	characteristic
957	C₂×#379	C₂×#120	1	1	yes	characteristic
958	C₂×#379	C₂×#120	1	1	yes	characteristic
959	C₂×#379	C₂×#120	1	1	yes	characteristic
960	C₂×#379	C₂×#120	1	1	yes	characteristic
961	C₂×#379	C₂×#120	1	1	yes	characteristic
962	C₂×#379	C₂×#120	1	1	yes	characteristic
963	C₂×#379	#535	1	2	yes	—
964	C₂×#379	#546	1	2	yes	—
965	C₂×#379	#546	1	2	yes	—
966	C₂⁶	C₂×B(4,𝔽₂)	1	1	yes	characteristic
967	C₂⁶	C₂×B(4,𝔽₂)	1	1	yes	characteristic
968	C₂⁶	C₂×B(4,𝔽₂)	1	2	yes	—
969	C₂⁶	#3027	1	1	yes	characteristic
970	C₂⁶	C₂²×#120	1	1	yes	characteristic
971	C₂⁶	C₂²×#120	1	1	yes	characteristic
972	C₂⁶	C₂²×#120	1	1	yes	characteristic
973	C₂⁶	C₂×#535	1	1	yes	characteristic
974	C₂⁶	C₂×#546	1	1	yes	characteristic
975	C₂⁶	C₂×#546	1	1	yes	characteristic
976	C₂⁶	D₄×#41	1	1	yes	characteristic
977	C₂⁶	D₄×#41	1	1	yes	characteristic
978	C₂⁶	#3488	1	1	yes	characteristic
979	C₂⁶	#3488	1	1	yes	characteristic
980	C₂⁶	#3488	1	1	yes	characteristic
981	C₂⁶	#3488	1	1	yes	characteristic
982	C₂⁶	#3488	1	1	yes	characteristic
983	C₂³×D₄	#2404	1	2	yes	—
984	C₂³×D₄	#2846	1	1	yes	characteristic
985	C₂³×D₄	#2846	1	1	yes	characteristic
986	C₂³×D₄	#2846	1	1	yes	characteristic
987	C₂³×D₄	#2846	1	1	yes	characteristic
988	C₂³×D₄	#3025	1	1	yes	characteristic
989	C₂³×D₄	#3025	1	1	yes	characteristic
990	C₂³×D₄	#3026	1	1	yes	characteristic
991	C₂³×D₄	#3026	1	1	yes	characteristic
992	C₂³×D₄	C₂²×#120	1	1	yes	characteristic
993	C₂³×D₄	C₂²×#120	1	1	yes	characteristic
994	C₂³×D₄	C₂²×#120	1	1	yes	characteristic
995	C₂³×D₄	C₂²×#120	1	1	yes	characteristic
996	C₂³×D₄	C₂×#525	1	1	yes	characteristic
997	C₂³×D₄	#3449	1	1	yes	characteristic
998	C₂³×D₄	C₂×#546	1	1	yes	characteristic
999	C₂³×D₄	C₂×#546	1	1	yes	characteristic
1000	C₂³×D₄	D₄×#41	1	1	yes	characteristic
1001	C₂³×D₄	D₄×#41	1	1	yes	characteristic
1002	C₂³×D₄	D₄×#41	1	1	yes	characteristic
1003	C₂³×D₄	D₄×#41	1	1	yes	characteristic
1004	C₂³×D₄	#3485	1	1	yes	characteristic
1005	C₂³×D₄	#3485	1	1	yes	characteristic
1006	C₂³×D₄	#3488	1	1	yes	characteristic
1007	C₂³×D₄	#3488	1	1	yes	characteristic
1008	C₂⁴×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1009	C₂⁴×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1010	C₂⁴×C₄	#3027	1	1	yes	characteristic
1011	C₂⁴×C₄	#3449	1	1	yes	characteristic
1012	C₂⁴×C₄	D₄×#41	1	1	yes	characteristic
1013	C₂⁴×C₄	D₄×#41	1	1	yes	characteristic
1014	C₂⁴×C₄	#3485	1	1	yes	characteristic
1015	C₂⁴×C₄	#3485	1	1	yes	characteristic
1016	C₂⁴×C₄	#3488	1	1	yes	characteristic
1017	C₂×#120	C₂×B(4,𝔽₂)	1	2	yes	—
1018	C₂×#120	C₂×B(4,𝔽₂)	1	2	yes	—
1019	C₂×#120	#3026	1	2	yes	—
1020	C₂×#120	#3026	1	2	yes	—
1021	C₂²×C₂²⋊C₄	#2404	1	2	yes	—
1022	C₂²×C₂²⋊C₄	#2404	1	2	yes	—
1023	C₂²×C₂²⋊C₄	#2404	1	2	yes	—
1024	C₂²×C₂²⋊C₄	#2846	1	1	yes	characteristic
1025	C₂²×C₂²⋊C₄	#2846	1	1	yes	characteristic
1026	C₂²×C₂²⋊C₄	#2846	1	1	yes	characteristic
1027	C₂²×C₂²⋊C₄	#2846	1	1	yes	characteristic
1028	#379	C₂×B(4,𝔽₂)	1	2	yes	—
1029	#379	C₂×B(4,𝔽₂)	1	2	yes	—
1030	#379	C₂×B(4,𝔽₂)	1	2	yes	—
1031	#379	C₂×B(4,𝔽₂)	1	2	yes	—
1032	C₂⁵	#23996	1	2	yes	complemented
1033	C₂⁵	#32898	1	1	yes	characteristic
1034	C₂⁵	#32898	1	1	yes	characteristic
1035	C₂⁵	#32899	1	1	yes	characteristic
1036	C₂⁵	#32899	1	1	yes	characteristic
1037	C₂⁵	C₂×#2404	1	1	yes	characteristic
1038	C₂⁵	#34736	1	1	yes	characteristic
1039	C₂⁵	#35250	1	1	yes	characteristic
1040	C₂⁵	#35250	1	1	yes	characteristic
1041	C₂⁵	#36212	1	1	yes	characteristic
1042	C₂⁵	#36212	1	1	yes	characteristic
1043	C₂⁵	#36212	1	1	yes	characteristic
1044	C₂⁵	#36212	1	1	yes	characteristic
1045	C₂⁵	#36212	1	1	yes	characteristic
1046	C₂⁵	#36212	1	1	yes	characteristic
1047	C₂⁵	C₂×#2846	1	1	yes	characteristic
1048	C₂⁵	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1049	C₂⁵	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1050	C₂⁵	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1051	C₂⁵	C₂×#3025	1	1	yes	characteristic
1052	C₂⁵	C₂×#3026	1	1	yes	characteristic
1053	C₂⁵	C₂×#3026	1	1	yes	characteristic
1054	C₂⁵	C₂×#3026	1	1	yes	characteristic
1055	C₂⁵	C₂×#3027	1	1	yes	characteristic
1056	C₂⁵	#60399	1	1	yes	characteristic
1057	C₂⁵	#60399	1	1	yes	characteristic
1058	C₂⁵	#60399	1	1	yes	characteristic
1059	C₂⁵	#60399	1	1	yes	characteristic
1060	C₂²×D₄	#32898	1	2	yes	—
1061	C₂²×D₄	#32898	1	2	yes	—
1062	C₂³×C₄	#23996	1	2	yes	complemented
1063	C₂³×C₄	#32898	1	1	yes	characteristic
1064	C₂³×C₄	#32898	1	1	yes	characteristic
1065	C₂³×C₄	#32899	1	1	yes	characteristic
1066	C₂³×C₄	#32899	1	1	yes	characteristic
1067	C₂³×C₄	#34736	1	1	yes	characteristic
1068	C₂³×C₄	#35088	1	1	yes	characteristic
1069	C₂³×C₄	#36212	1	1	yes	characteristic
1070	C₂³×C₄	#36212	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	#32898	1	2	yes	—
1072	C₂×C₂²⋊C₄	#32898	1	2	yes	—
1073	C₂⁴	#347042	1	2	yes	—
1074	C₂⁴	#613188	1	1	yes	characteristic
1075	C₂⁴	C₂×#23996	1	2	yes	—
1076	C₂⁴	#6454041	1	1	yes	characteristic
1077	C₂⁴	#6454047	1	1	yes	characteristic
1078	C₂⁴	#6491100	1	1	yes	characteristic
1079	C₂⁴	#6491103	1	1	yes	characteristic
1080	C₂⁴	#6595772	1	1	yes	characteristic
1081	C₂⁴	#6595772	1	1	yes	characteristic
1082	C₂⁴	#6595772	1	1	yes	characteristic
1083	C₂⁴	#6595772	1	1	yes	characteristic
1084	C₂⁴	#6595778	1	1	yes	characteristic
1085	C₂⁴	#6595778	1	1	yes	characteristic
1086	C₂⁴	#6595778	1	1	yes	characteristic
1087	C₂⁴	#6595778	1	1	yes	characteristic
1088	C₂⁴	C₂×#32898	1	1	yes	characteristic
1089	C₂⁴	C₂×#32898	1	1	yes	characteristic
1090	C₂⁴	C₂×#32898	1	1	yes	characteristic
1091	C₂⁴	C₂×#32899	1	1	yes	characteristic
1092	C₂⁴	#6628896	1	1	yes	characteristic
1093	C₂⁴	#6628896	1	1	yes	characteristic
1094	C₂²×C₄	#347042	1	2	yes	—
1095	C₂³	C₂×#347042	1	1	yes	characteristic
1096	C₂³	#72237396	1	1	yes	characteristic
1097	C₂³	#72237396	1	1	yes	characteristic
1098	C₂³	#72237402	1	1	yes	characteristic
1099	C₂³	#72237562	1	1	yes	characteristic
1100	C₂³	#72237919	1	1	yes	characteristic
1101	C₂³	#72237919	1	1	yes	characteristic
1102	C₂³	#72240460	1	1	yes	characteristic
1103	C₂³	#72262146	1	1	yes	characteristic
1104	C₂³	#72264896	1	1	yes	characteristic
1105	C₂³	#72264896	1	1	yes	characteristic
1106	C₂²	#72265206	1	1	yes	characteristic
1107	C₂²	#72265246	1	1	yes	characteristic
1108	C₂²	#72265437	1	1	yes	characteristic
1109	C₂²	#72265842	1	1	yes	characteristic
1110	C₂²	#72265946	1	1	yes	characteristic
1111	C₂²	#72265950	1	1	yes	characteristic
1112	C₂²	#72265950	1	1	yes	characteristic
1113	C₂	#72266552	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂	#72266552
commutator, Frattini, cosocle	C₂⁵×D₄	C₂⁵
LCS	G ▷ C₂⁵×D₄ ▷ C₂⁴ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂ ◁ C₂⁴ ◁ C₂⁵×D₄ ◁ G
LECS	G ▷ C₂⁵×D₄ ▷ C₂⁴ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72335065	C₂	semidirect
2. #72335053	C₂	semidirect
3. #72335040	C₂	semidirect
4. #72335027	C₂	semidirect
5. #72335027	C₂	semidirect
6. #72334968	C₂	semidirect
7. #72334963	C₂	semidirect
8. #72334806	C₂²	semidirect
9. #72334803	C₂	semidirect
10. #72334803	C₂	semidirect
11. #72334802	C₂²	semidirect
12. #72334802	C₂²	semidirect
13. #72334801	C₂²	semidirect
14. #72331812	C₂	semidirect
15. #72331045	C₂²	semidirect
16. #72330840	C₂²	semidirect
17. #72330840	C₂²	semidirect
19. #72326936	D₄	semidirect
20. #72323212	C₂	semidirect
21. #72323210	C₂	semidirect
22. #72320211	C₂	semidirect
23. #72318023	C₂	semidirect
24. #72317935	C₂²	semidirect
25. #72317127	C₂	semidirect
26. #72317123	C₂²	semidirect
27. #72316962	C₂	semidirect
28. #72315710	C₂	semidirect
29. #72315225	C₂	semidirect
30. #72315164	C₂²	semidirect
31. #72315164	C₂²	semidirect
32. #72315156	C₂	semidirect
33. #72315149	C₂²	semidirect
34. #72315149	C₂²	semidirect
35. #72315084	C₂²	semidirect
36. #72315084	C₂²	semidirect
37. #72314482	C₂²	semidirect
38. #72312813	C₂	semidirect
39. #72312328	C₂²	semidirect
40. #72312279	C₂	semidirect
41. #72312258	C₂²	semidirect
42. #72312241	C₂²	semidirect
43. #72312226	C₂²	semidirect
44. #72312205	C₂²	semidirect
45. #72312179	C₂²	semidirect
46. #72310437	C₂	semidirect
47. #72310427	C₂	semidirect
48. #72310419	C₂²	semidirect
49. #72310395	C₂²	semidirect
50. #72310395	C₂²	semidirect
51. #72310383	C₂	semidirect
52. #72310380	C₂²	semidirect
53. #72310380	C₂²	semidirect
54. #72310339	C₂²	semidirect
55. #72310339	C₂²	semidirect
56. #72310339	C₂²	semidirect
57. #72310332	C₂²	semidirect
58. #72310332	C₂²	semidirect
59. #72310327	C₂²	semidirect
60. #72310314	C₂	semidirect
61. #72310304	C₂²	semidirect
62. #72310304	C₂²	semidirect
63. #72310299	C₂²	semidirect
64. #72310299	C₂²	semidirect
65. #72310297	C₂²	semidirect
66. #72310297	C₂²	semidirect
67. #72310295	C₂²	semidirect
68. #72310290	C₂²	semidirect
69. #72310285	C₂²	semidirect
70. #72310068	C₂	semidirect
71. #72310049	C₂²	semidirect
72. #72309608	C₂	semidirect
73. #72309591	C₂²	semidirect
74. #72309591	C₂²	semidirect
75. #72309583	C₂²	semidirect
76. #72309583	C₂²	semidirect
77. #72309574	C₂²	semidirect
78. #72309574	C₂²	semidirect
79. #72309563	C₂²	semidirect
80. #72309548	C₂²	semidirect
81. #72309548	C₂²	semidirect
82. #72309539	C₂²	semidirect
83. #72309539	C₂²	semidirect
84. #72309519	C₂²	semidirect
85. #72309505	C₂	semidirect
86. #72309490	C₂²	semidirect
87. #72309483	C₂²	semidirect
88. #72309472	C₂²	semidirect
89. #72309452	C₂²	semidirect
90. #72309452	C₂²	semidirect
91. #72309452	C₂²	semidirect
92. #72309452	C₂²	semidirect
93. #72309452	C₂²	semidirect
94. #72309452	C₂²	semidirect
95. #72309452	C₂²	semidirect
96. #72309421	C₂²	semidirect
97. #72309380	C₂²	semidirect
98. #72309379	C₂²	semidirect
99. #72309341	C₂²	semidirect
100. #72309325	D₄	semidirect
101. #72309324	D₄	semidirect
102. #72309324	D₄	semidirect
103. #72309310	C₂²	semidirect
104. #72309310	C₂²	semidirect
105. #72266876	C₂	semidirect
106. #72266875	C₂²	semidirect
107. #72266873	C₂²	semidirect
108. #72266870	C₂²	semidirect
109. #72266839	C₂	semidirect
110. #72266836	C₂²	semidirect
113. #72266813	D₄	semidirect
114. #72266811	D₄	semidirect
115. #72266809	D₄	semidirect
116. #72266809	D₄	semidirect
117. #72266809	D₄	semidirect
118. #72266809	D₄	semidirect
119. #72266804	D₄	semidirect
124. #72265678	C₂²	semidirect
126. #72264799	C₂²	semidirect
127. #72264799	C₂²	semidirect
131. #72264793	C₂²	semidirect
132. #72264793	C₂²	semidirect
133. #72264793	C₂²	semidirect
134. #72264793	C₂²	semidirect
135. #72264784	C₂²	semidirect
136. #72264784	C₂²	semidirect
137. #72262455	C₂	semidirect
138. #72262357	C₂²	semidirect
139. #72262357	C₂²	semidirect
143. #72262349	C₂²	semidirect
144. #72262349	C₂²	semidirect
145. #72262349	C₂²	semidirect
146. #72262349	C₂²	semidirect
147. #72262330	C₂²	semidirect
148. #72262330	C₂²	semidirect
151. #72258998	C₂²	semidirect
152. #72258993	C₂²	semidirect
156. #72251547	C₂²	semidirect
157. #72251547	C₂²	semidirect
158. #72251523	C₂²	semidirect
159. #72251523	C₂²	semidirect
160. #72251479	C₂²	semidirect
165. #72251171	D₄	semidirect
166. #72251157	D₄	semidirect
167. #72251143	D₄	semidirect
168. #72251140	D₄	semidirect
169. #72251140	D₄	semidirect
170. #72251108	D₄	semidirect
171. #72251103	D₄	semidirect
172. #72251073	D₄	semidirect
173. #72251054	D₄	semidirect
174. #72240489	C₂²	semidirect
175. #72240471	D₄	semidirect
176. #72238614	C₂²	semidirect
177. #72238613	D₄	semidirect
178. #72238613	D₄	semidirect
179. #72238613	D₄	semidirect
180. #72238612	D₄	semidirect
181. #72238611	D₄	semidirect
182. #72238352	C₂²	semidirect
183. #72238352	C₂²	semidirect
184. #72238345	C₂²	semidirect
185. #72238345	C₂²	semidirect
186. #72238344	C₂²	semidirect
187. #72238344	C₂²	semidirect
188. #72237903	D₄	semidirect
189. #72237900	D₄	semidirect
190. #72237900	D₄	semidirect
191. #72237900	D₄	semidirect
192. #72237899	D₄	semidirect
193. #72237899	D₄	semidirect
194. #72237829	D₄	semidirect
195. #72237829	D₄	semidirect
196. #72237591	C₂²	semidirect
197. #72237423	C₂²	semidirect
204. #72236365	D₄	semidirect
206. #72234953	D₄	semidirect
207. #72234693	D₄	semidirect
215. #72225745	D₄	semidirect
216. #72225744	D₄	semidirect
217. #72225743	D₄	semidirect
218. #72225742	D₄	semidirect
219. #72225742	D₄	semidirect
220. #72225741	D₄	semidirect
221. #72225740	D₄	semidirect
222. #72225729	C₂²	semidirect
224. #72225710	C₂²	semidirect
225. #72225688	C₂²	semidirect
226. C₂×#7266798	D₄	semidirect
227. #72225676	C₂²	semidirect
231. #72225664	C₂²	semidirect
235. #72225647	D₄	semidirect
236. #72225646	D₄	semidirect
237. #72225644	D₄	semidirect
238. #72225641	D₄	semidirect
239. #72225639	D₄	semidirect
240. #72225635	D₄	semidirect
256. #72219455	C₂²	semidirect
257. #72219455	C₂²	semidirect
258. #72219445	C₂²	semidirect
259. #72219445	C₂²	semidirect
260. #72219425	C₂²	semidirect
284. #72219298	C₂²	semidirect
286. #72219256	C₂²	semidirect
287. #72219256	C₂²	semidirect
298. #72219239	C₂²	semidirect
318. #72219157	D₄	semidirect
319. #72218868	C₂²	semidirect
320. #72218868	C₂²	semidirect
321. #72218856	C₂²	semidirect
322. #72218847	C₂²	semidirect
323. #72218841	C₂²	semidirect
324. #72218522	C₂²	semidirect
325. #72218522	C₂²	semidirect
334. #72218477	C₂²	semidirect
350. #72218222	C₂²	semidirect
371. #72217818	D₄	semidirect
373. #72217699	D₄	semidirect
374. #72217666	D₄	semidirect
375. C₂×#6499874	D₄	semidirect
409. #7641846	C₂×D₄	semidirect
414. C₂²×#2846	C₂×D₄	semidirect
423. #7626202	C₂×D₄	semidirect
424. C₂³×#379	C₂×D₄	semidirect
425. C₂×#32873	C₂×D₄	semidirect
426. C₂×#32873	C₂×D₄	semidirect
427. C₂×#32873	C₂×D₄	semidirect
428. #6628892	#41	semidirect
429. #6628892	#41	semidirect
435. #6440460	C₂×D₄	semidirect
446. C₂×#23895	C₂×D₄	semidirect
456. #6437621	C₂×D₄	semidirect
467. C₂×#23900	C₂×D₄	semidirect
468. C₂×#23900	C₂×D₄	semidirect
475. #6374251	C₂×D₄	semidirect
488. C₂×#21776	C₂×D₄	semidirect
489. C₂×#21776	C₂×D₄	semidirect
490. C₂×#21776	C₂×D₄	semidirect
491. C₂×#21776	C₂×D₄	semidirect
495. #6374128	C₂×D₄	semidirect
500. C₂×#21746	C₂×D₄	semidirect
501. C₂×#21746	C₂×D₄	semidirect
502. C₂×#21746	C₂×D₄	semidirect
509. C₂²×#1898	C₂×D₄	semidirect
523. C₂×#14679	C₂×D₄	semidirect
524. C₂×#14679	C₂×D₄	semidirect
529. #392699	#41	semidirect
530. #392699	#41	semidirect
545. #392030	C₂×D₄	semidirect
546. #392030	C₂×D₄	semidirect
547. #392030	C₂×D₄	semidirect
548. #392030	C₂×D₄	semidirect
549. #392030	C₂×D₄	semidirect
550. #392030	C₂×D₄	semidirect
551. #392030	C₂×D₄	semidirect
552. #392030	C₂×D₄	semidirect
553. #392030	C₂×D₄	semidirect
554. #382707	C₂×D₄	semidirect
555. #382707	C₂×D₄	semidirect
562. #382544	C₂×D₄	semidirect
563. #382544	C₂×D₄	semidirect
564. #382544	C₂×D₄	semidirect
565. #382544	C₂×D₄	semidirect
576. #382434	C₂×D₄	semidirect
577. #382434	C₂×D₄	semidirect
578. #382434	C₂×D₄	semidirect
579. #382434	C₂×D₄	semidirect
580. #382422	C₂×D₄	semidirect
581. #382422	C₂×D₄	semidirect
584. #373637	C₂×D₄	semidirect
586. #359811	C₂×D₄	semidirect
599. #359549	C₂×D₄	semidirect
600. #359549	C₂×D₄	semidirect
603. #359501	C₂×D₄	semidirect
604. #359501	C₂×D₄	semidirect
610. #359442	C₂×D₄	semidirect
611. #355913	C₂×D₄	semidirect
612. #355913	C₂×D₄	semidirect
613. #355913	C₂×D₄	semidirect
614. #355913	C₂×D₄	semidirect
615. #355913	C₂×D₄	semidirect
622. #355096	C₂×D₄	semidirect
623. #355096	C₂×D₄	semidirect
624. #355096	C₂×D₄	semidirect
625. #355096	C₂×D₄	semidirect
626. C₂×#10735	C₂×D₄	semidirect
627. C₂×#10725	C₂×D₄	semidirect
628. C₂×#10725	C₂×D₄	semidirect
632. C₂³×H(5,𝔽₂)	C₂×#41	semidirect
633. C₂³×H(5,𝔽₂)	C₂×#41	semidirect
670. C₂²×#518	C₂×#41	semidirect
671. C₂²×#518	C₂×#41	semidirect
844. C₂×#1781	C₂×#41	semidirect
845. C₂×#1781	C₂×#41	semidirect
939. #2849	B(4,𝔽₂)	semidirect
940. #2846	B(4,𝔽₂)	semidirect
941. #2846	B(4,𝔽₂)	semidirect
945. #2280	B(4,𝔽₂)	semidirect
946. C₂×#379	B(4,𝔽₂)	semidirect
1032. C₂⁵	#23996	semidirect
1062. C₂³×C₄	#23996	semidirect

Maximal subgroups

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

subgroup	index
#72335065	2
#72335053	2
#72335040	2
#72335027	2
#72334968	2
#72334963	2
#72334803	2
#72331812	2
#72323212	2
#72323210	2
#72320211	2
#72318023	2
#72317127	2
#72316962	2
#72315710	2
#72315225	2
#72315156	2
#72312813	2
#72312279	2
#72310437	2
#72310427	2
#72310383	2
#72310314	2
#72310068	2
#72309608	2
#72309505	2
#72266876	2
#72266839	2
#72262455	2