Subgroups — #72343862

Order 2048.

At least 7449 conjugacy classes of subgroups; only the 1448 normal subgroups are shown.

The subgroup lattice has 1383 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72343807	C₂	1	1	yes	maximal, characteristic, complemented
2	#72343797	C₂	1	1	yes	maximal, characteristic, complemented
3	#72343792	C₂	1	1	yes	maximal, characteristic, complemented
4	#72343785	C₂	1	1	yes	maximal, characteristic, complemented
5	#72343757	C₂	1	1	yes	maximal, characteristic, complemented
6	#72343711	C₂	1	1	yes	maximal, characteristic, complemented
7	#72343711	C₂	1	1	yes	maximal, characteristic, complemented
8	#72343700	C₂	1	1	yes	maximal, characteristic, complemented
9	#72343691	C₂	1	1	yes	maximal, characteristic, complemented
10	#72343691	C₂	1	1	yes	maximal, characteristic, complemented
11	#72343554	C₂	1	1	yes	maximal, characteristic, complemented
12	#72343537	C₂	1	1	yes	maximal, characteristic, complemented
13	#72343520	C₂	1	1	yes	maximal, characteristic, complemented
14	#72343505	C₂	1	1	yes	maximal, characteristic, complemented
15	#72343371	C₂	1	1	yes	maximal, characteristic, complemented
16	#72343327	C₂	1	1	yes	maximal, characteristic, complemented
17	#72343303	C₂	1	1	yes	maximal, characteristic, complemented
18	#72318990	C₂	1	1	yes	maximal, characteristic, complemented
19	#72318908	C₂	1	1	yes	maximal, characteristic, complemented
20	#72318781	C₂	1	1	yes	maximal, characteristic, complemented
21	#72318709	C₂	1	1	yes	maximal, characteristic, complemented
22	#72318709	C₂	1	1	yes	maximal, characteristic, complemented
23	#72318675	C₂	1	1	yes	maximal, characteristic, complemented
24	#72318656	C₂	1	1	yes	maximal, characteristic, complemented
25	#72318476	C₂	1	1	yes	maximal, characteristic, complemented
26	D₈×#525	C₂	1	1	yes	maximal, characteristic
27	#72286195	C₂	1	1	yes	maximal, characteristic, complemented
28	#72285982	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#129503	C₂	1	1	yes	maximal, characteristic, complemented
30	D₄×#1333	C₂	1	1	yes	maximal, characteristic, complemented
31	#72225044	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₈×#41	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₈	C₂²	1	1	yes	characteristic
34	#6630264	C₂²	1	1	yes	characteristic
35	#6578872	C₄	1	1	yes	characteristic
36	#6578872	C₄	1	1	yes	characteristic
37	#6578504	C₄	1	1	yes	characteristic
38	#6578504	C₄	1	1	yes	characteristic
39	#6578130	C₄	1	1	yes	characteristic
40	#6578130	C₄	1	1	yes	characteristic
41	#6577762	C₄	1	1	yes	characteristic
42	#6577762	C₄	1	1	yes	characteristic
43	D₈×#123	C₄	1	1	yes	characteristic
44	D₈×#123	C₄	1	1	yes	characteristic
45	D₈×C₂²⋊Q₈	C₄	1	1	yes	characteristic
46	D₈×C₂²⋊Q₈	C₄	1	1	yes	characteristic
47	D₈×#121	C₄	1	1	yes	characteristic
48	D₈×#121	C₄	1	1	yes	characteristic
49	D₈×#120	C₄	1	1	yes	characteristic
50	D₈×#120	C₄	1	1	yes	characteristic
51	#6467444	C₂²	1	1	yes	characteristic
52	#6467063	C₂²	1	1	yes	characteristic
53	#6444897	C₂²	1	1	yes	characteristic
54	#6444897	C₂²	1	1	yes	characteristic
55	#6444897	C₂²	1	1	yes	characteristic
56	#6444897	C₂²	1	1	yes	characteristic
57	C₄×D₄×D₈	C₂²	1	1	yes	characteristic
58	C₄×D₄×D₈	C₂²	1	1	yes	characteristic
59	C₄×D₄×D₈	C₂²	1	1	yes	characteristic
60	C₄×D₄×D₈	C₂²	1	1	yes	characteristic
61	D₈×#117	C₂²	1	1	yes	characteristic
62	C₈×#525	C₂²	1	1	yes	characteristic
63	#495660	C₂²	1	1	yes	characteristic, complemented
64	#495660	C₂²	1	1	yes	characteristic, complemented
65	#495492	C₂²	1	1	yes	characteristic, complemented
66	#495491	C₂²	1	1	yes	characteristic, complemented
67	#495281	C₂²	1	1	yes	characteristic, complemented
68	#495280	C₂²	1	1	yes	characteristic, complemented
69	#494944	C₂²	1	1	yes	characteristic, complemented
70	#494943	C₂²	1	1	yes	characteristic, complemented
71	#494943	C₂²	1	1	yes	characteristic, complemented
72	#494943	C₂²	1	1	yes	characteristic, complemented
73	#493929	C₂²	1	1	yes	characteristic, complemented
74	#493222	C₂²	1	1	yes	characteristic, complemented
75	D₄×#346	C₂²	1	1	yes	characteristic, complemented
76	C₂×#12599	C₂²	1	1	yes	characteristic, complemented
77	C₂×#11680	C₂²	1	1	yes	characteristic, complemented
78	C₂×#11678	C₂²	1	1	yes	characteristic, complemented
79	C₂×#11654	C₂²	1	1	yes	characteristic, complemented
80	C₂×#11652	C₂²	1	1	yes	characteristic, complemented
81	C₂×#11667	C₂²	1	1	yes	characteristic
82	C₂×#11667	C₂²	1	1	yes	characteristic
83	C₂×#11667	C₂²	1	1	yes	characteristic, complemented
84	C₂×#11667	C₂²	1	1	yes	characteristic, complemented
85	C₂×#11667	C₂²	1	1	yes	characteristic, complemented
86	C₂×#11663	C₂²	1	1	yes	characteristic, complemented
87	C₂×#11599	C₂²	1	1	yes	characteristic, complemented
88	C₂²×#1333	C₂²	1	1	yes	characteristic
89	C₂²×#1333	C₂²	1	1	yes	characteristic
90	C₂²×#1333	C₂²	1	1	yes	characteristic, complemented
91	C₂²×#1333	C₂²	1	1	yes	characteristic, complemented
92	C₂²×#1333	C₂²	1	1	yes	characteristic, complemented
93	#225841	C₂²	1	1	yes	characteristic, complemented
94	#225837	C₂²	1	1	yes	characteristic, complemented
95	#225837	C₂²	1	1	yes	characteristic, complemented
96	#225836	C₂²	1	1	yes	characteristic, complemented
97	#225400	C₂²	1	1	yes	characteristic, complemented
98	#225397	C₂²	1	1	yes	characteristic, complemented
99	#225387	C₂²	1	1	yes	characteristic, complemented
100	D₄×#334	C₂²	1	1	yes	characteristic, complemented
101	#191622	C₂²	1	1	yes	characteristic, complemented
102	#191622	C₂²	1	1	yes	characteristic, complemented
103	#189510	C₂²	1	1	yes	characteristic, complemented
104	#189509	C₂²	1	1	yes	characteristic, complemented
105	#188722	C₂²	1	1	yes	characteristic, complemented
106	C₂×#8595	C₂²	1	1	yes	characteristic, complemented
107	#140868	C₂²	1	1	yes	characteristic, complemented
108	#140868	C₂²	1	1	yes	characteristic, complemented
109	#140868	C₂²	1	1	yes	characteristic, complemented
110	#140868	C₂²	1	1	yes	characteristic, complemented
111	#140846	C₂²	1	1	yes	characteristic, complemented
112	#140846	C₂²	1	1	yes	characteristic, complemented
113	#140846	C₂²	1	1	yes	characteristic, complemented
114	#140846	C₂²	1	1	yes	characteristic, complemented
115	#140578	C₂²	1	1	yes	characteristic, complemented
116	#140578	C₂²	1	1	yes	characteristic, complemented
117	#140576	C₂²	1	1	yes	characteristic, complemented
118	#140576	C₂²	1	1	yes	characteristic, complemented
119	#140530	C₂²	1	1	yes	characteristic, complemented
120	#140530	C₂²	1	1	yes	characteristic, complemented
121	#140526	C₂²	1	1	yes	characteristic, complemented
122	#140526	C₂²	1	1	yes	characteristic, complemented
123	#137654	C₂²	1	1	yes	characteristic, complemented
124	#137654	C₂²	1	1	yes	characteristic, complemented
125	#137654	C₂²	1	1	yes	characteristic, complemented
126	#137654	C₂²	1	1	yes	characteristic, complemented
127	#137654	C₂²	1	1	yes	characteristic, complemented
128	#137654	C₂²	1	1	yes	characteristic, complemented
129	#137652	C₂²	1	1	yes	characteristic, complemented
130	#137652	C₂²	1	1	yes	characteristic, complemented
131	#137614	C₂²	1	1	yes	characteristic, complemented
132	#137614	C₂²	1	1	yes	characteristic, complemented
133	#137612	C₂²	1	1	yes	characteristic, complemented
134	#137612	C₂²	1	1	yes	characteristic, complemented
135	#137612	C₂²	1	1	yes	characteristic, complemented
136	#137612	C₂²	1	1	yes	characteristic, complemented
137	#137612	C₂²	1	1	yes	characteristic, complemented
138	#137612	C₂²	1	1	yes	characteristic, complemented
139	#136642	C₂²	1	1	yes	characteristic, complemented
140	#136642	C₂²	1	1	yes	characteristic, complemented
141	#136642	C₂²	1	1	yes	characteristic, complemented
142	#136642	C₂²	1	1	yes	characteristic, complemented
143	#136642	C₂²	1	1	yes	characteristic, complemented
144	#136642	C₂²	1	1	yes	characteristic, complemented
145	#136641	C₂²	1	1	yes	characteristic, complemented
146	#136641	C₂²	1	1	yes	characteristic, complemented
147	#136614	C₂²	1	1	yes	characteristic, complemented
148	#136614	C₂²	1	1	yes	characteristic, complemented
149	#136613	C₂²	1	1	yes	characteristic, complemented
150	#136613	C₂²	1	1	yes	characteristic, complemented
151	#136613	C₂²	1	1	yes	characteristic, complemented
152	#136613	C₂²	1	1	yes	characteristic, complemented
153	#136613	C₂²	1	1	yes	characteristic, complemented
154	#136613	C₂²	1	1	yes	characteristic, complemented
155	#135285	C₂²	1	1	yes	characteristic, complemented
156	#135285	C₂²	1	1	yes	characteristic, complemented
157	#135285	C₂²	1	1	yes	characteristic, complemented
158	#135285	C₂²	1	1	yes	characteristic, complemented
159	#134409	C₂²	1	1	yes	characteristic, complemented
160	#134409	C₂²	1	1	yes	characteristic, complemented
161	#134407	C₂²	1	1	yes	characteristic, complemented
162	#134407	C₂²	1	1	yes	characteristic, complemented
163	#134364	C₂²	1	1	yes	characteristic, complemented
164	#134364	C₂²	1	1	yes	characteristic, complemented
165	#134362	C₂²	1	1	yes	characteristic, complemented
166	#134362	C₂²	1	1	yes	characteristic, complemented
167	#129555	C₂²	1	1	yes	characteristic, complemented
168	#129555	C₂²	1	1	yes	characteristic, complemented
169	#129555	C₂²	1	1	yes	characteristic, complemented
170	#129555	C₂²	1	1	yes	characteristic, complemented
171	#129555	C₂²	1	1	yes	characteristic, complemented
172	#129555	C₂²	1	1	yes	characteristic, complemented
173	#129555	C₂²	1	1	yes	characteristic, complemented
174	#129555	C₂²	1	1	yes	characteristic, complemented
175	#129503	C₂²	1	1	yes	characteristic
176	#129503	C₂²	1	1	yes	characteristic
177	#129503	C₂²	1	1	yes	characteristic
178	#129503	C₂²	1	1	yes	characteristic
179	#129503	C₂²	1	1	yes	characteristic
180	#129503	C₂²	1	1	yes	characteristic
181	#129503	C₂²	1	1	yes	characteristic
182	#129503	C₂²	1	1	yes	characteristic
183	#129503	C₂²	1	1	yes	characteristic, complemented
184	#129503	C₂²	1	1	yes	characteristic, complemented
185	#129503	C₂²	1	1	yes	characteristic, complemented
186	#129503	C₂²	1	1	yes	characteristic, complemented
187	#129503	C₂²	1	1	yes	characteristic, complemented
188	#129503	C₂²	1	1	yes	characteristic, complemented
189	#129503	C₂²	1	1	yes	characteristic, complemented
190	#129503	C₂²	1	1	yes	characteristic, complemented
191	#129503	C₂²	1	1	yes	characteristic, complemented
192	#129503	C₂²	1	1	yes	characteristic, complemented
193	#129503	C₂²	1	1	yes	characteristic, complemented
194	#129503	C₂²	1	1	yes	characteristic, complemented
195	#128617	C₂²	1	1	yes	characteristic, complemented
196	#128617	C₂²	1	1	yes	characteristic, complemented
197	#128603	C₂²	1	1	yes	characteristic, complemented
198	#128603	C₂²	1	1	yes	characteristic, complemented
199	#128590	C₂²	1	1	yes	characteristic, complemented
200	#128590	C₂²	1	1	yes	characteristic, complemented
201	C₄×#1333	C₂²	1	1	yes	characteristic, complemented
202	C₄×#1333	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₈	C₂×C₄	1	1	yes	characteristic
204	C₂×#3391	C₂×C₄	1	1	yes	characteristic
205	C₂×Q₈×D₈	C₂×C₄	1	1	yes	characteristic
206	C₂×#3334	C₂×C₄	1	1	yes	characteristic
207	C₂×#3334	C₂×C₄	1	1	yes	characteristic
208	C₂×#3334	C₂×C₄	1	1	yes	characteristic
209	C₂×D₄×D₈	C₂×C₄	1	1	yes	characteristic
210	C₂×D₄×D₈	C₂×C₄	1	1	yes	characteristic
211	C₂×D₄×D₈	C₂×C₄	1	1	yes	characteristic
212	C₂×D₄×D₈	C₂×C₄	1	1	yes	characteristic
213	C₂×D₄×D₈	C₂×C₄	1	1	yes	characteristic
214	C₂×D₄×D₈	C₂×C₄	1	1	yes	characteristic
215	C₂×D₄×D₈	C₂×C₄	1	1	yes	characteristic
216	C₂×#3169	C₂³	1	1	yes	characteristic
217	C₂×#3169	C₂³	1	1	yes	characteristic
218	C₂×#3169	C₂³	1	1	yes	characteristic
219	C₂×C₈×#41	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₈	C₂×C₄	1	1	yes	characteristic
221	C₂²×C₄×D₈	C₂×C₄	1	1	yes	characteristic
222	C₂²×C₄×D₈	C₂×C₄	1	1	yes	characteristic
223	C₂²×C₄×D₈	C₂×C₄	1	1	yes	characteristic
224	C₂²×C₄×D₈	C₂×C₄	1	1	yes	characteristic
225	C₂²×C₄×D₈	C₂×C₄	1	1	yes	characteristic
226	C₂²×C₄×D₈	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₈	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₈	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₈	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₈	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₈	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₈	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₈	C₂³	1	1	yes	characteristic
234	C₂³×#107	C₂×C₄	1	1	yes	characteristic
235	C₂³×C₄×C₈	C₂³	1	1	yes	characteristic
236	C₄×#525	D₄	1	1	yes	characteristic
237	C₂×#2163	C₂³	1	1	yes	characteristic
238	C₂×#2163	C₂³	1	1	yes	characteristic
239	C₂×#2163	C₂³	1	1	yes	characteristic, complemented
240	C₂×#2163	C₂³	1	1	yes	characteristic, complemented
241	C₂×C₄×M₃₂	C₂³	1	1	yes	characteristic, complemented
242	C₂²×#346	C₂³	1	1	yes	characteristic
243	C₂²×#346	C₂³	1	1	yes	characteristic
244	C₂²×#346	C₂³	1	1	yes	characteristic, complemented
245	#33209	C₂×C₄	1	1	yes	characteristic
246	#33209	C₂×C₄	1	1	yes	characteristic
247	#33171	C₂×C₄	1	1	yes	characteristic
248	#33171	C₂×C₄	1	1	yes	characteristic
249	#33129	C₂×C₄	1	1	yes	characteristic
250	#33129	C₂×C₄	1	1	yes	characteristic
251	#32930	C₂×C₄	1	1	yes	characteristic
252	#32930	C₂×C₄	1	1	yes	characteristic
253	#28527	C₂×C₄	1	1	yes	characteristic
254	#28527	C₂×C₄	1	1	yes	characteristic
255	#28458	C₂×C₄	1	1	yes	characteristic
256	#28458	C₂×C₄	1	1	yes	characteristic
257	#28263	C₂×C₄	1	1	yes	characteristic
258	#28263	C₂×C₄	1	1	yes	characteristic
259	#28227	C₂×C₄	1	1	yes	characteristic
260	#28227	C₂×C₄	1	1	yes	characteristic
261	#27929	C₂×C₄	1	1	yes	characteristic
262	#27929	C₂×C₄	1	1	yes	characteristic
263	#27661	C₂×C₄	1	1	yes	characteristic
264	#27661	C₂×C₄	1	1	yes	characteristic
265	#26484	C₂×C₄	1	1	yes	characteristic
266	#26484	C₂×C₄	1	1	yes	characteristic
267	#26484	C₂×C₄	1	1	yes	characteristic
268	#26484	C₂×C₄	1	1	yes	characteristic
269	#26254	C₂×C₄	1	1	yes	characteristic
270	#26254	C₂×C₄	1	1	yes	characteristic
271	#26254	C₂×C₄	1	1	yes	characteristic
272	#26254	C₂×C₄	1	1	yes	characteristic
273	#26065	C₂×C₄	1	1	yes	characteristic
274	#26065	C₂×C₄	1	1	yes	characteristic
275	#26065	C₂×C₄	1	1	yes	characteristic
276	#26065	C₂×C₄	1	1	yes	characteristic
277	#25779	C₂×C₄	1	1	yes	characteristic
278	#25779	C₂×C₄	1	1	yes	characteristic
279	#25779	C₂×C₄	1	1	yes	characteristic
280	#25779	C₂×C₄	1	1	yes	characteristic
281	#25779	C₂×C₄	1	1	yes	characteristic
282	#25779	C₂×C₄	1	1	yes	characteristic
283	#25414	C₂×C₄	1	1	yes	characteristic
284	#25414	C₂×C₄	1	1	yes	characteristic
285	#25414	C₂×C₄	1	1	yes	characteristic
286	#25414	C₂×C₄	1	1	yes	characteristic
287	#25034	C₂×C₄	1	1	yes	characteristic
288	#25034	C₂×C₄	1	1	yes	characteristic
289	#25034	C₂×C₄	1	1	yes	characteristic
290	#25034	C₂×C₄	1	1	yes	characteristic
291	#24780	C₂×C₄	1	1	yes	characteristic
292	#24780	C₂×C₄	1	1	yes	characteristic
293	#24780	C₂×C₄	1	1	yes	characteristic
294	#24780	C₂×C₄	1	1	yes	characteristic
295	#24267	C₂×C₄	1	1	yes	characteristic
296	#24267	C₂×C₄	1	1	yes	characteristic
297	#24267	C₂×C₄	1	1	yes	characteristic
298	#24267	C₂×C₄	1	1	yes	characteristic
299	#24267	C₂×C₄	1	1	yes	characteristic
300	#24267	C₂×C₄	1	1	yes	characteristic
301	#23185	C₂×C₄	1	1	yes	characteristic
302	#23185	C₂×C₄	1	1	yes	characteristic
303	#23185	C₂×C₄	1	1	yes	characteristic
304	#23185	C₂×C₄	1	1	yes	characteristic
305	#23025	C₂×C₄	1	1	yes	characteristic
306	#23025	C₂×C₄	1	1	yes	characteristic
307	#23025	C₂×C₄	1	1	yes	characteristic
308	#23025	C₂×C₄	1	1	yes	characteristic
309	#23025	C₂×C₄	1	1	yes	characteristic
310	#23025	C₂×C₄	1	1	yes	characteristic
311	#23025	C₂×C₄	1	1	yes	characteristic
312	#23025	C₂×C₄	1	1	yes	characteristic
313	#22807	C₂×C₄	1	1	yes	characteristic
314	#22807	C₂×C₄	1	1	yes	characteristic
315	C₄⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
316	C₄⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
317	C₄⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
318	C₄⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
319	C₄⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
320	C₄⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
321	D₄×#107	C₂×C₄	1	1	yes	characteristic
322	D₄×#107	C₂×C₄	1	1	yes	characteristic
323	D₄×#107	C₂×C₄	1	1	yes	characteristic
324	D₄×#107	C₂×C₄	1	1	yes	characteristic
325	#22611	C₂×C₄	1	1	yes	characteristic
326	#22611	C₂×C₄	1	1	yes	characteristic
327	C₂²⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
328	C₂²⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
329	C₂²⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
330	C₂²⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
331	C₂²⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
332	C₂²⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
333	C₂²⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
334	C₂²⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
335	C₂²⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
336	C₂²⋊C₄×D₈	C₂×C₄	1	1	yes	characteristic
337	C₄×#493	C₂³	1	1	yes	characteristic
338	C₄×#493	C₂³	1	1	yes	characteristic
339	C₄×#493	C₂³	1	1	yes	characteristic
340	C₄×#493	C₂³	1	1	yes	characteristic
341	C₈×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
342	C₈×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
343	C₈×C₂²⋊Q₈	D₄	1	1	yes	characteristic
344	C₈×C₂²⋊Q₈	D₄	1	1	yes	characteristic
345	C₈×#123	C₂×C₄	1	1	yes	characteristic
346	C₈×#123	C₂×C₄	1	1	yes	characteristic
347	C₈×#123	D₄	1	1	yes	characteristic
348	C₈×#123	D₄	1	1	yes	characteristic
349	C₄×#466	C₂³	1	1	yes	characteristic
350	C₄×#466	C₂³	1	1	yes	characteristic
351	C₄×#466	C₂³	1	1	yes	characteristic
352	C₄×#466	C₂³	1	1	yes	characteristic
353	C₄×#466	C₂³	1	1	yes	characteristic
354	C₄×#466	C₂³	1	1	yes	characteristic
355	C₄×#466	C₂³	1	1	yes	characteristic
356	C₄×#466	C₂³	1	1	yes	characteristic
357	C₈×#121	C₂×C₄	1	1	yes	characteristic
358	C₈×#121	C₂×C₄	1	1	yes	characteristic
359	C₈×#121	D₄	1	1	yes	characteristic
360	C₈×#121	D₄	1	1	yes	characteristic
361	C₈×#120	C₂×C₄	1	1	yes	characteristic
362	C₈×#120	C₂×C₄	1	1	yes	characteristic
363	C₈×#120	D₄	1	1	yes	characteristic
364	C₈×#120	D₄	1	1	yes	characteristic
365	#21373	D₄	1	1	yes	characteristic
366	#21349	D₄	1	1	yes	characteristic
367	#21275	C₂³	1	1	yes	characteristic
368	#21275	C₂³	1	1	yes	characteristic
369	#21101	D₄	1	1	yes	characteristic
370	#21101	D₄	1	1	yes	characteristic
371	#21101	D₄	1	1	yes	characteristic
372	#21101	D₄	1	1	yes	characteristic
373	#20817	C₂³	1	1	yes	characteristic
374	#20714	D₄	1	1	yes	characteristic
375	C₄²×D₈	C₂³	1	1	yes	characteristic
376	C₄²×D₈	C₂³	1	1	yes	characteristic
377	C₄×C₈×D₄	C₂³	1	1	yes	characteristic
378	C₄×C₈×D₄	C₂³	1	1	yes	characteristic
379	C₄×C₈×D₄	C₂³	1	1	yes	characteristic
380	C₄×C₈×D₄	C₂³	1	1	yes	characteristic
381	C₈×#117	C₂³	1	1	yes	characteristic
382	C₂×#1568	C₂³	1	1	yes	characteristic
383	C₂×#1568	C₂³	1	1	yes	characteristic
384	C₂×#1568	C₂³	1	1	yes	characteristic, complemented
385	C₂×#1566	C₂³	1	1	yes	characteristic, complemented
386	C₂×#1564	C₂³	1	1	yes	characteristic, complemented
387	C₂²×#334	C₂³	1	1	yes	characteristic
388	C₂²×#334	C₂³	1	1	yes	characteristic
389	C₂²×#334	C₂³	1	1	yes	characteristic, complemented
390	#12653	C₂³	1	1	yes	characteristic, complemented
391	#12653	C₂³	1	1	yes	characteristic, complemented
392	#12653	C₂³	1	1	yes	characteristic, complemented
393	#12653	C₂³	1	1	yes	characteristic, complemented
394	#12599	C₂³	1	1	yes	characteristic
395	#12599	C₂³	1	1	yes	characteristic
396	#12599	C₂³	1	1	yes	characteristic
397	#12599	C₂³	1	1	yes	characteristic
398	#12599	C₂³	1	1	yes	characteristic
399	#12599	C₂³	1	1	yes	characteristic
400	#12599	C₂³	1	1	yes	characteristic
401	#12599	C₂³	1	1	yes	characteristic
402	#12599	C₂³	1	1	yes	characteristic, complemented
403	#12599	C₂³	1	1	yes	characteristic, complemented
404	#12599	C₂³	1	1	yes	characteristic, complemented
405	#12599	C₂³	1	1	yes	characteristic, complemented
406	#12591	C₂³	1	1	yes	characteristic, complemented
407	#12591	C₂³	1	1	yes	characteristic, complemented
408	C₄×#346	C₂³	1	1	yes	characteristic, complemented
409	C₄×#346	C₂³	1	1	yes	characteristic, complemented
410	C₂×#1333	C₂³	1	1	yes	characteristic
411	C₂×#1333	C₂³	1	1	yes	characteristic
412	C₂×#1333	C₂³	1	1	yes	characteristic
413	C₂×#1333	C₂³	1	1	yes	characteristic
414	C₂×#1333	C₂³	1	1	yes	characteristic
415	C₂×#1333	C₂³	1	1	yes	characteristic
416	C₂×#1333	C₂³	1	1	yes	characteristic
417	C₂×#1333	C₂³	1	1	yes	characteristic
418	C₂×#1333	C₂³	1	1	yes	characteristic
419	C₂×#1333	C₂³	1	1	yes	characteristic
420	C₂×#1333	C₂³	1	1	yes	characteristic
421	C₂×#1333	C₂³	1	1	yes	characteristic
422	C₂×#1333	C₂³	1	1	yes	characteristic
423	C₂×#1333	C₂³	1	1	yes	characteristic
424	C₂×#1333	C₂³	1	1	yes	characteristic
425	C₂×#1333	C₂³	1	1	yes	characteristic
426	C₂×#1333	C₂³	1	1	yes	characteristic
427	C₂×#1333	C₂³	1	1	yes	characteristic
428	C₂×#1333	C₂³	1	1	yes	characteristic
429	C₂×#1333	C₂³	1	1	yes	characteristic
430	C₂×#1333	C₂³	1	1	yes	characteristic
431	C₂×#1333	C₂³	1	1	yes	characteristic
432	C₂×#1333	C₂³	1	1	yes	characteristic
433	C₂×#1333	C₂³	1	1	yes	characteristic
434	C₂×#1333	C₂³	1	1	yes	characteristic
435	C₂×#1333	C₂³	1	1	yes	characteristic
436	C₂×#1333	C₂³	1	1	yes	characteristic
437	C₂×#1333	C₂³	1	1	yes	characteristic
438	C₂×#1333	C₂³	1	1	yes	characteristic
439	C₂×#1333	C₂³	1	1	yes	characteristic
440	C₂×#1333	C₂³	1	1	yes	characteristic
441	C₂×#1333	C₂³	1	1	yes	characteristic
442	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
443	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
444	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
445	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
446	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
447	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
448	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
449	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
450	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
451	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
452	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
453	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
454	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
455	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
456	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
457	C₂×#1333	C₂³	1	1	yes	characteristic, complemented
458	#8807	C₂³	1	1	yes	characteristic, complemented
459	#8807	C₂³	1	1	yes	characteristic, complemented
460	#8805	C₂³	1	1	yes	characteristic, complemented
461	#8805	C₂³	1	1	yes	characteristic, complemented
462	#8595	C₂³	1	1	yes	characteristic
463	#8595	C₂³	1	1	yes	characteristic
464	#8595	C₂³	1	1	yes	characteristic
465	#8595	C₂³	1	1	yes	characteristic
466	#8595	C₂³	1	1	yes	characteristic
467	#8595	C₂³	1	1	yes	characteristic
468	#8595	C₂³	1	1	yes	characteristic
469	#8595	C₂³	1	1	yes	characteristic
470	#8595	C₂³	1	1	yes	characteristic, complemented
471	#8595	C₂³	1	1	yes	characteristic, complemented
472	#8595	C₂³	1	1	yes	characteristic, complemented
473	#8595	C₂³	1	1	yes	characteristic, complemented
474	#8273	C₂³	1	1	yes	characteristic, complemented
475	#8273	C₂³	1	1	yes	characteristic, complemented
476	C₄×#334	C₂³	1	1	yes	characteristic, complemented
477	C₄×#334	C₂³	1	1	yes	characteristic, complemented
478	#7178	C₂³	1	1	yes	characteristic, complemented
479	#7178	C₂³	1	1	yes	characteristic, complemented
480	#7178	C₂³	1	1	yes	characteristic, complemented
481	#7178	C₂³	1	1	yes	characteristic, complemented
482	#7178	C₂³	1	1	yes	characteristic, complemented
483	#7178	C₂³	1	1	yes	characteristic, complemented
484	#7178	C₂³	1	1	yes	characteristic, complemented
485	#7178	C₂³	1	1	yes	characteristic, complemented
486	#7178	C₂³	1	1	yes	characteristic, complemented
487	#7178	C₂³	1	1	yes	characteristic, complemented
488	#7178	C₂³	1	1	yes	characteristic, complemented
489	#7178	C₂³	1	1	yes	characteristic, complemented
490	#7178	C₂³	1	1	yes	characteristic, complemented
491	#7178	C₂³	1	1	yes	characteristic, complemented
492	#7178	C₂³	1	1	yes	characteristic, complemented
493	#7178	C₂³	1	1	yes	characteristic, complemented
494	C₂³×D₈	C₂²×C₄	1	1	yes	characteristic
495	C₂³×D₈	C₂²×C₄	1	1	yes	characteristic
496	C₂³×D₈	C₂²×C₄	1	1	yes	characteristic
497	C₂³×D₈	C₂²×C₄	1	1	yes	characteristic
498	C₂³×D₈	C₂²×C₄	1	1	yes	characteristic
499	C₂³×D₈	C₂²×C₄	1	1	yes	characteristic
500	C₂³×D₈	C₂²×C₄	1	1	yes	characteristic
501	C₂³×D₈	C₂²×C₄	1	1	yes	characteristic
502	C₂⁴×C₈	C₂²×C₄	1	1	yes	characteristic
503	C₂⁴×C₈	C₂×D₄	1	1	yes	characteristic
504	C₂×#525	SD₁₆	1	1	yes	characteristic
505	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
506	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
507	C₂×#500	C₂²×C₄	1	1	yes	characteristic
508	C₂×#500	C₂²×C₄	1	1	yes	characteristic
509	C₂×#500	C₂²×C₄	1	1	yes	characteristic
510	C₂×#493	C₂²×C₄	1	1	yes	characteristic
511	C₂×#493	C₂²×C₄	1	1	yes	characteristic
512	C₂×#493	C₂²×C₄	1	1	yes	characteristic
513	C₂×#493	C₂²×C₄	1	1	yes	characteristic
514	C₂×#493	C₂²×C₄	1	1	yes	characteristic
515	C₂×#493	C₂²×C₄	1	1	yes	characteristic
516	C₂×#493	C₂²×C₄	1	1	yes	characteristic
517	C₂×#466	C₂²×C₄	1	1	yes	characteristic
518	C₂×#466	C₂²×C₄	1	1	yes	characteristic
519	C₂×#466	C₂²×C₄	1	1	yes	characteristic
520	C₂×#466	C₂²×C₄	1	1	yes	characteristic
521	C₂×#466	C₂²×C₄	1	1	yes	characteristic
522	C₂×#466	C₂²×C₄	1	1	yes	characteristic
523	C₂×#466	C₂²×C₄	1	1	yes	characteristic
524	C₂×#466	C₂²×C₄	1	1	yes	characteristic
525	C₂×#466	C₂²×C₄	1	1	yes	characteristic
526	C₂×#466	C₂²×C₄	1	1	yes	characteristic
527	C₂×#466	C₂²×C₄	1	1	yes	characteristic
528	C₂×#466	C₂²×C₄	1	1	yes	characteristic
529	C₂×#466	C₂²×C₄	1	1	yes	characteristic
530	C₂×#466	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₈×Q₈	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₈×Q₈	C₂×D₄	1	1	yes	characteristic
533	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₄×D₈	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₄×D₈	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₈	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₈	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₈	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₈	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×D₈	C₂⁴	1	1	yes	characteristic
559	C₂×C₈×D₄	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₈×D₄	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₈×D₄	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₈×D₄	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₈×D₄	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₈×D₄	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₈×D₄	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
567	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
568	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
569	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
570	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
571	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
572	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
573	C₂×#431	C₂×D₄	1	1	yes	characteristic
574	C₂×#431	C₂×D₄	1	1	yes	characteristic
575	C₂×#431	C₂×D₄	1	1	yes	characteristic
576	C₂×#431	C₂×D₄	1	1	yes	characteristic
577	C₂²×#107	C₂²×C₄	1	1	yes	characteristic
578	C₂²×#107	C₂²×C₄	1	1	yes	characteristic
579	C₂²×#107	C₂²×C₄	1	1	yes	characteristic
580	C₂²×#107	C₂²×C₄	1	1	yes	characteristic
581	C₂²×#107	C₂²×C₄	1	1	yes	characteristic
582	C₂²×#107	C₂²×C₄	1	1	yes	characteristic
583	C₂²×#107	C₂²×C₄	1	1	yes	characteristic
584	C₂²×#107	C₂²×C₄	1	1	yes	characteristic
585	C₂²×C₄×C₈	C₂²×C₄	1	1	yes	characteristic
586	C₂²×C₄×C₈	C₂²×C₄	1	1	yes	characteristic
587	C₂²×C₄×C₈	C₂²×C₄	1	1	yes	characteristic
588	C₂²×C₄×C₈	C₂×D₄	1	1	yes	characteristic
589	C₂²×C₄×C₈	C₂×D₄	1	1	yes	characteristic
590	C₂²×C₄×C₈	C₂×D₄	1	1	yes	characteristic
591	C₂²×C₄×C₈	C₂×D₄	1	1	yes	characteristic
592	C₂²×C₄×C₈	C₂×D₄	1	1	yes	characteristic
593	C₂²×C₄×C₈	C₂×D₄	1	1	yes	characteristic
594	C₂²×C₄×C₈	C₂⁴	1	1	yes	characteristic
595	C₂²×C₄×C₈	C₂⁴	1	1	yes	characteristic
596	C₂²×C₄×C₈	C₂⁴	1	1	yes	characteristic
597	C₂²×C₄×C₈	C₂⁴	1	1	yes	characteristic
598	C₂²×C₄×C₈	C₂⁴	1	1	yes	characteristic
599	C₄×C₂²⋊Q₈	C₂²⋊C₄	1	1	yes	characteristic
600	C₄×C₂²⋊Q₈	C₂²⋊C₄	1	1	yes	characteristic
601	C₄×C₂²⋊Q₈	D₈	1	1	yes	characteristic
602	C₄×C₂²⋊Q₈	D₈	1	1	yes	characteristic
603	C₄×#123	C₂²⋊C₄	1	1	yes	characteristic
604	C₄×#123	C₂²⋊C₄	1	1	yes	characteristic
605	C₄×#123	D₈	1	1	yes	characteristic
606	C₄×#123	D₈	1	1	yes	characteristic
607	C₄×#121	C₂²⋊C₄	1	1	yes	characteristic
608	C₄×#121	C₂²⋊C₄	1	1	yes	characteristic
609	C₄×#121	D₈	1	1	yes	characteristic
610	C₄×#121	D₈	1	1	yes	characteristic
611	C₄×#120	C₂²⋊C₄	1	1	yes	characteristic
612	C₄×#120	C₂²⋊C₄	1	1	yes	characteristic
613	C₄×#120	D₈	1	1	yes	characteristic
614	C₄×#120	D₈	1	1	yes	characteristic
615	#2297	SD₁₆	1	1	yes	characteristic
616	#2296	SD₁₆	1	1	yes	characteristic
617	#2290	SD₁₆	1	1	yes	characteristic
618	#2290	SD₁₆	1	1	yes	characteristic
619	#2290	SD₁₆	1	1	yes	characteristic
620	#2290	SD₁₆	1	1	yes	characteristic
621	#2280	SD₁₆	1	1	yes	characteristic
622	C₄²×D₄	C₂×D₄	1	1	yes	characteristic
623	C₄²×D₄	C₂×D₄	1	1	yes	characteristic
624	C₄²×D₄	C₂×D₄	1	1	yes	characteristic
625	C₄²×D₄	C₂×D₄	1	1	yes	characteristic
626	C₄×#117	C₂×D₄	1	1	yes	characteristic
627	C₂×#346	C₂⁴	1	1	yes	characteristic
628	C₂×#346	C₂⁴	1	1	yes	characteristic
629	C₂×#346	C₂⁴	1	1	yes	characteristic
630	C₂×#346	C₂⁴	1	1	yes	characteristic
631	C₂×#346	C₂⁴	1	1	yes	characteristic
632	C₂×#346	C₂⁴	1	1	yes	characteristic
633	C₂×#346	C₂⁴	1	1	yes	characteristic
634	C₂×#346	C₂⁴	1	1	yes	characteristic
635	#1984	C₂²⋊C₄	1	1	yes	characteristic
636	#1984	C₂²⋊C₄	1	1	yes	characteristic
637	#1970	C₂²×C₄	1	1	yes	characteristic
638	#1970	C₂²×C₄	1	1	yes	characteristic
639	#1970	C₂²×C₄	1	1	yes	characteristic
640	#1970	C₂²×C₄	1	1	yes	characteristic
641	#1970	C₂²×C₄	1	1	yes	characteristic
642	#1970	C₂²×C₄	1	1	yes	characteristic
643	#1970	C₂²×C₄	1	1	yes	characteristic
644	#1970	C₂²×C₄	1	1	yes	characteristic
645	#1970	C₂²×C₄	1	1	yes	characteristic
646	#1970	C₂²×C₄	1	1	yes	characteristic
647	#1970	C₂²×C₄	1	1	yes	characteristic
648	#1970	C₂²×C₄	1	1	yes	characteristic
649	#1970	C₂²×C₄	1	1	yes	characteristic
650	#1970	C₂²×C₄	1	1	yes	characteristic
651	#1970	C₂²×C₄	1	1	yes	characteristic
652	#1970	C₂²×C₄	1	1	yes	characteristic
653	#1970	C₂²×C₄	1	1	yes	characteristic
654	#1970	C₂²×C₄	1	1	yes	characteristic
655	#1970	C₂²×C₄	1	1	yes	characteristic
656	#1970	C₂²×C₄	1	1	yes	characteristic
657	#1954	C₂²⋊C₄	1	1	yes	characteristic
658	#1954	C₂²⋊C₄	1	1	yes	characteristic
659	#1942	C₂²×C₄	1	1	yes	characteristic
660	#1942	C₂²×C₄	1	1	yes	characteristic
661	#1942	C₂²×C₄	1	1	yes	characteristic
662	#1942	C₂²×C₄	1	1	yes	characteristic
663	#1942	C₂²×C₄	1	1	yes	characteristic
664	#1942	C₂²×C₄	1	1	yes	characteristic
665	#1942	C₂²×C₄	1	1	yes	characteristic
666	#1942	C₂²×C₄	1	1	yes	characteristic
667	#1942	C₂²×C₄	1	1	yes	characteristic
668	#1942	C₂²×C₄	1	1	yes	characteristic
669	#1942	C₂²×C₄	1	1	yes	characteristic
670	#1942	C₂²×C₄	1	1	yes	characteristic
671	#1939	C₂²⋊C₄	1	1	yes	characteristic
672	#1939	C₂²⋊C₄	1	1	yes	characteristic
673	#1939	C₂²⋊C₄	1	1	yes	characteristic
674	#1939	C₂²⋊C₄	1	1	yes	characteristic
675	#1923	C₂²⋊C₄	1	1	yes	characteristic
676	#1923	C₂²⋊C₄	1	1	yes	characteristic
677	#1923	C₂²⋊C₄	1	1	yes	characteristic
678	#1923	C₂²⋊C₄	1	1	yes	characteristic
679	#1923	C₂²⋊C₄	1	1	yes	characteristic
680	#1923	C₂²⋊C₄	1	1	yes	characteristic
681	#1923	C₂²⋊C₄	1	1	yes	characteristic
682	#1923	C₂²⋊C₄	1	1	yes	characteristic
683	#1916	C₂²⋊C₄	1	1	yes	characteristic
684	#1916	C₂²⋊C₄	1	1	yes	characteristic
685	#1916	C₂²⋊C₄	1	1	yes	characteristic
686	#1916	C₂²⋊C₄	1	1	yes	characteristic
687	#1916	C₂²⋊C₄	1	1	yes	characteristic
688	#1916	C₂²⋊C₄	1	1	yes	characteristic
689	#1916	C₂²⋊C₄	1	1	yes	characteristic
690	#1916	C₂²⋊C₄	1	1	yes	characteristic
691	#1869	C₂²⋊C₄	1	1	yes	characteristic
692	#1869	C₂²⋊C₄	1	1	yes	characteristic
693	#1869	C₂²⋊C₄	1	1	yes	characteristic
694	#1869	C₂²⋊C₄	1	1	yes	characteristic
695	#1869	C₂²⋊C₄	1	1	yes	characteristic
696	#1869	C₂²⋊C₄	1	1	yes	characteristic
697	#1869	C₂²⋊C₄	1	1	yes	characteristic
698	#1869	C₂²⋊C₄	1	1	yes	characteristic
699	#1869	C₂²⋊C₄	1	1	yes	characteristic
700	#1869	C₂²⋊C₄	1	1	yes	characteristic
701	#1869	C₂²⋊C₄	1	1	yes	characteristic
702	#1869	C₂²⋊C₄	1	1	yes	characteristic
703	#1850	C₂²⋊C₄	1	1	yes	characteristic
704	#1850	C₂²⋊C₄	1	1	yes	characteristic
705	#1850	C₂²⋊C₄	1	1	yes	characteristic
706	#1850	C₂²⋊C₄	1	1	yes	characteristic
707	#1850	C₂²⋊C₄	1	1	yes	characteristic
708	#1850	C₂²⋊C₄	1	1	yes	characteristic
709	#1850	C₂²⋊C₄	1	1	yes	characteristic
710	#1850	C₂²⋊C₄	1	1	yes	characteristic
711	#1850	C₂²⋊C₄	1	1	yes	characteristic
712	#1850	C₂²⋊C₄	1	1	yes	characteristic
713	#1850	C₂²⋊C₄	1	1	yes	characteristic
714	#1850	C₂²⋊C₄	1	1	yes	characteristic
715	#1845	C₂²×C₄	1	1	yes	characteristic
716	#1845	C₂²×C₄	1	1	yes	characteristic
717	#1845	C₂²×C₄	1	1	yes	characteristic
718	#1845	C₂²×C₄	1	1	yes	characteristic
719	#1845	C₂²×C₄	1	1	yes	characteristic
720	#1845	C₂²×C₄	1	1	yes	characteristic
721	#1817	C₂²⋊C₄	1	1	yes	characteristic
722	#1817	C₂²⋊C₄	1	1	yes	characteristic
723	#1808	C₂²×C₄	1	1	yes	characteristic
724	#1808	C₂²×C₄	1	1	yes	characteristic
725	#1808	C₂²×C₄	1	1	yes	characteristic
726	#1808	C₂²×C₄	1	1	yes	characteristic
727	#1808	C₂²×C₄	1	1	yes	characteristic
728	#1808	C₂²×C₄	1	1	yes	characteristic
729	#1808	C₂²×C₄	1	1	yes	characteristic
730	#1808	C₂²×C₄	1	1	yes	characteristic
731	#1808	C₂²×C₄	1	1	yes	characteristic
732	#1808	C₂²×C₄	1	1	yes	characteristic
733	#1797	C₂²⋊C₄	1	1	yes	characteristic
734	#1797	C₂²⋊C₄	1	1	yes	characteristic
735	#1797	C₂²⋊C₄	1	1	yes	characteristic
736	#1797	C₂²⋊C₄	1	1	yes	characteristic
737	#1779	C₂²⋊C₄	1	1	yes	characteristic
738	#1779	C₂²⋊C₄	1	1	yes	characteristic
739	C₄×#107	C₂²×C₄	1	1	yes	characteristic
740	C₄×#107	C₂²×C₄	1	1	yes	characteristic
741	C₄×#107	C₂²×C₄	1	1	yes	characteristic
742	C₄×#107	C₂²×C₄	1	1	yes	characteristic
743	C₄×#107	C₂⁴	1	1	yes	characteristic
744	C₄×#107	C₂⁴	1	1	yes	characteristic
745	C₈×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
746	C₈×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
747	C₈×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
748	C₈×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
749	C₈×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
750	C₈×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
751	C₈×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
752	C₈×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
753	C₈×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
754	C₈×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
755	C₈×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
756	C₈×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
757	C₄×C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
758	C₄×C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
759	C₄×C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
760	C₄×C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
761	C₈×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
762	C₈×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
763	C₈×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
764	C₈×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
765	C₈×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
766	C₈×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
767	C₈×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
768	C₈×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
769	C₈×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
770	C₈×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
771	C₈×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
772	C₈×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
773	C₈×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
774	C₈×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
775	C₈×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
776	C₈×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
777	C₈×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
778	C₈×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
779	C₈×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
780	C₈×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
781	C₄×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
782	C₄×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
783	C₄×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
784	C₄×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
785	C₄×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
786	C₄×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
787	C₄×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
788	C₄×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
789	#1744	C₂×D₄	1	1	yes	characteristic
790	#1744	C₂×D₄	1	1	yes	characteristic
791	C₄²×C₈	C₂⁴	1	1	yes	characteristic
792	C₄²×C₈	C₂⁴	1	1	yes	characteristic
793	C₂×#334	C₂⁴	1	1	yes	characteristic
794	C₂×#334	C₂⁴	1	1	yes	characteristic
795	C₂×#334	C₂⁴	1	1	yes	characteristic
796	C₂×#334	C₂⁴	1	1	yes	characteristic
797	C₂×#334	C₂⁴	1	1	yes	characteristic
798	C₂×#334	C₂⁴	1	1	yes	characteristic
799	C₂×#334	C₂⁴	1	1	yes	characteristic
800	C₂×#334	C₂⁴	1	1	yes	characteristic
801	C₂²×#41	C₂×SD₁₆	1	1	yes	characteristic
802	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
803	C₂⁴×C₄	C₂×D₈	1	1	yes	characteristic
804	C₂⁴×C₄	C₂×SD₁₆	1	1	yes	characteristic
805	C₂²×D₈	#131	1	4	yes	—
806	C₂²×D₈	C₂³×C₄	1	1	yes	characteristic
807	C₂²×D₈	C₂³×C₄	1	1	yes	characteristic
808	C₂²×D₈	C₂³×C₄	1	1	yes	characteristic
809	C₂²×D₈	C₂³×C₄	1	1	yes	characteristic
810	C₂²×D₈	C₂³×C₄	1	1	yes	characteristic
811	C₂²×D₈	C₂³×C₄	1	1	yes	characteristic
812	C₂³×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
813	C₂³×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
814	C₂³×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
815	C₂³×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
816	C₂³×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
817	C₂³×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
818	C₂³×C₈	C₂³×C₄	1	1	yes	characteristic
819	C₂³×C₈	C₂³×C₄	1	1	yes	characteristic
820	C₂³×C₈	C₂³×C₄	1	1	yes	characteristic
821	C₂³×C₈	C₂³×C₄	1	1	yes	characteristic
822	C₂³×C₈	C₂³×C₄	1	1	yes	characteristic
823	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
824	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
825	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
826	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
827	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
828	C₂×#123	#102	1	1	yes	characteristic
829	C₂×#123	#102	1	1	yes	characteristic
830	C₂×C₂²⋊Q₈	#102	1	1	yes	characteristic
831	C₂×C₂²⋊Q₈	#102	1	1	yes	characteristic
832	C₂×#121	#102	1	1	yes	characteristic
833	C₂×#121	#102	1	1	yes	characteristic
834	C₂×#120	#102	1	1	yes	characteristic
835	C₂×#120	#102	1	1	yes	characteristic
836	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
837	C₂×C₄×Q₈	C₂×D₈	1	1	yes	characteristic
838	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
839	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
840	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
841	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
842	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
843	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
844	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
845	C₂×C₄×D₄	C₂×D₈	1	1	yes	characteristic
846	C₂×C₄×D₄	C₂×D₈	1	1	yes	characteristic
847	C₂×C₄×D₄	C₂×D₈	1	1	yes	characteristic
848	C₂×C₄×D₄	C₂×D₈	1	1	yes	characteristic
849	C₂×C₄×D₄	C₂×D₈	1	1	yes	characteristic
850	C₂×C₄×D₄	C₂×D₈	1	1	yes	characteristic
851	C₂×C₄×D₄	C₂×D₈	1	1	yes	characteristic
852	C₂×C₄×D₄	C₂×SD₁₆	1	1	yes	characteristic
853	C₂×C₄×D₄	C₂×SD₁₆	1	1	yes	characteristic
854	C₂×C₄×D₄	C₂×SD₁₆	1	1	yes	characteristic
855	C₂×C₄×D₄	C₂×SD₁₆	1	1	yes	characteristic
856	C₂×#117	C₂×SD₁₆	1	1	yes	characteristic
857	C₂×#117	C₂×SD₁₆	1	1	yes	characteristic
858	C₂×#117	C₂×SD₁₆	1	1	yes	characteristic
859	C₂×#117	C₂×SD₁₆	1	1	yes	characteristic
860	C₂×#117	C₂×SD₁₆	1	1	yes	characteristic
861	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
862	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
863	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
864	C₂²×C₄²	C₂×D₈	1	1	yes	characteristic
865	C₂²×C₄²	C₂×D₈	1	1	yes	characteristic
866	C₂²×C₄²	C₂×D₈	1	1	yes	characteristic
867	C₂²×C₄²	C₂×SD₁₆	1	1	yes	characteristic
868	C₂²×C₄²	C₂×SD₁₆	1	1	yes	characteristic
869	C₂²×C₄²	C₂×SD₁₆	1	1	yes	characteristic
870	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
871	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
872	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
873	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
874	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
875	C₄×D₈	H(5,𝔽₂)	1	2	yes	—
876	C₄×D₈	H(5,𝔽₂)	1	2	yes	—
877	C₄×D₈	H(5,𝔽₂)	1	2	yes	—
878	C₄×D₈	H(5,𝔽₂)	1	2	yes	—
879	C₂×#107	C₂³×C₄	1	1	yes	characteristic
880	C₂×#107	C₂³×C₄	1	1	yes	characteristic
881	C₂×#107	C₂³×C₄	1	1	yes	characteristic
882	C₂×#107	C₂³×C₄	1	1	yes	characteristic
883	C₂×#107	C₂³×C₄	1	1	yes	characteristic
884	C₂×#107	C₂³×C₄	1	1	yes	characteristic
885	C₂×#107	C₂³×C₄	1	1	yes	characteristic
886	C₂×#107	C₂³×C₄	1	1	yes	characteristic
887	C₂×#107	C₂³×C₄	1	1	yes	characteristic
888	C₂×#107	C₂³×C₄	1	1	yes	characteristic
889	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
890	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
891	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
892	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
893	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
894	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
895	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
896	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
897	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
898	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
899	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
900	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
901	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
902	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
903	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
904	C₂×C₄⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
905	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
906	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
907	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
908	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
909	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
910	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
911	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
912	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
913	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
914	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
915	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
916	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
917	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
918	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
919	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
920	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
921	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
922	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
923	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
924	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
925	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
926	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
927	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
928	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
929	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
930	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
931	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
932	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
933	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
934	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
935	C₂×C₄×C₈	C₂³×C₄	1	1	yes	characteristic
936	C₂×C₄×C₈	C₂³×C₄	1	1	yes	characteristic
937	C₂×C₄×C₈	C₂³×C₄	1	1	yes	characteristic
938	C₂×C₄×C₈	C₂³×C₄	1	1	yes	characteristic
939	C₂×C₄×C₈	C₂³×C₄	1	1	yes	characteristic
940	C₂×C₄×C₈	C₂³×C₄	1	1	yes	characteristic
941	C₂×C₄×C₈	C₂³×C₄	1	1	yes	characteristic
942	C₂×C₄×C₈	C₂³×C₄	1	1	yes	characteristic
943	C₂×C₄×C₈	C₂³×C₄	1	1	yes	characteristic
944	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
945	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
946	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
947	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
951	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
952	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
953	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
954	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
955	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
956	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
957	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
958	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
959	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
960	C₂×C₄×C₈	C₂⁵	1	1	yes	characteristic
961	#391	#102	1	1	yes	characteristic
962	#391	#102	1	1	yes	characteristic
963	#390	#102	1	1	yes	characteristic
964	#390	#102	1	1	yes	characteristic
965	#389	#102	1	1	yes	characteristic
966	#389	#102	1	1	yes	characteristic
967	#389	#102	1	1	yes	characteristic
968	#389	#102	1	1	yes	characteristic
969	#388	#102	1	1	yes	characteristic
970	#388	#102	1	1	yes	characteristic
971	#388	#102	1	1	yes	characteristic
972	#388	#102	1	1	yes	characteristic
973	#388	#102	1	1	yes	characteristic
974	#388	#102	1	1	yes	characteristic
975	#388	#102	1	1	yes	characteristic
976	#388	#102	1	1	yes	characteristic
977	#387	#102	1	1	yes	characteristic
978	#387	#102	1	1	yes	characteristic
979	#387	#102	1	1	yes	characteristic
980	#387	#102	1	1	yes	characteristic
981	#387	#102	1	1	yes	characteristic
982	#387	#102	1	1	yes	characteristic
983	#387	#102	1	1	yes	characteristic
984	#387	#102	1	1	yes	characteristic
985	#386	#102	1	1	yes	characteristic
986	#386	#102	1	1	yes	characteristic
987	#386	#102	1	1	yes	characteristic
988	#386	#102	1	1	yes	characteristic
989	#386	#102	1	1	yes	characteristic
990	#386	#102	1	1	yes	characteristic
991	#386	#102	1	1	yes	characteristic
992	#386	#102	1	1	yes	characteristic
993	#386	#102	1	1	yes	characteristic
994	#386	#102	1	1	yes	characteristic
995	#386	#102	1	1	yes	characteristic
996	#386	#102	1	1	yes	characteristic
997	#385	#102	1	1	yes	characteristic
998	#385	#102	1	1	yes	characteristic
999	#385	#102	1	1	yes	characteristic
1000	#385	#102	1	1	yes	characteristic
1001	#385	#102	1	1	yes	characteristic
1002	#385	#102	1	1	yes	characteristic
1003	#385	#102	1	1	yes	characteristic
1004	#385	#102	1	1	yes	characteristic
1005	#385	#102	1	1	yes	characteristic
1006	#385	#102	1	1	yes	characteristic
1007	#385	#102	1	1	yes	characteristic
1008	#385	#102	1	1	yes	characteristic
1009	#381	#102	1	1	yes	characteristic
1010	#381	#102	1	1	yes	characteristic
1011	#380	#102	1	1	yes	characteristic
1012	#380	#102	1	1	yes	characteristic
1013	#380	#102	1	1	yes	characteristic
1014	#380	#102	1	1	yes	characteristic
1015	#379	#102	1	1	yes	characteristic
1016	#379	#102	1	1	yes	characteristic
1017	C₄×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1018	C₄×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1019	C₄×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1020	C₄×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1021	C₄×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1022	C₄×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1023	C₄×C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1024	C₄×C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1025	C₄×C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1026	C₄×C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1027	C₄×C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1028	C₄×C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1029	C₄×C₄⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1030	C₄×C₄⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1031	C₄×C₄⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1032	C₄×C₄⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1033	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1034	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1035	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1036	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1037	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1038	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1039	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1040	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1041	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1042	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
1043	C₄×C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1044	C₄×C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1045	C₄×C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1046	C₄×C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1047	C₄×C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1048	C₄×C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1049	C₄×C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1050	C₄×C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1051	C₄×C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1052	C₄×C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1053	C₄×C₂²⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1054	C₄×C₂²⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1055	C₄×C₂²⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1056	C₄×C₂²⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1057	C₄×C₂²⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1058	C₄×C₂²⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1059	C₄×C₂²⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1060	C₄×C₂²⋊C₄	C₂×SD₁₆	1	1	yes	characteristic
1061	#376	C₂×SD₁₆	1	1	yes	characteristic
1062	#376	C₂×SD₁₆	1	1	yes	characteristic
1063	C₄³	C₂²×D₄	1	1	yes	characteristic
1064	C₄³	C₂²×D₄	1	1	yes	characteristic
1065	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1066	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1067	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1068	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1069	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1070	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1071	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1072	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1073	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1074	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1075	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1076	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1077	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1078	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1079	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1080	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1081	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1082	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1083	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1084	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1085	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1086	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1087	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1088	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1089	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1090	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1091	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1092	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1093	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1094	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1095	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1096	#336	C₂×C₂²⋊C₄	1	1	yes	characteristic
1097	C₂⁵	C₂×#102	1	1	yes	characteristic
1098	C₂²×Q₈	C₂×#102	1	1	yes	characteristic
1099	C₂²×D₄	C₂×#102	1	1	yes	characteristic
1100	C₂²×D₄	C₂×#102	1	1	yes	characteristic
1101	C₂²×D₄	C₂×#102	1	1	yes	characteristic
1102	C₂²×D₄	C₂×#102	1	1	yes	characteristic
1103	C₂²×D₄	C₂×#102	1	1	yes	characteristic
1104	C₂²×D₄	C₂×#102	1	1	yes	characteristic
1105	C₂²×D₄	C₂×#102	1	1	yes	characteristic
1106	C₂³×C₄	C₂×#102	1	1	yes	characteristic
1107	C₂³×C₄	C₂×#102	1	1	yes	characteristic
1108	C₂³×C₄	C₂×#102	1	1	yes	characteristic
1109	C₂³×C₄	C₂×#102	1	1	yes	characteristic
1110	C₂³×C₄	C₂×#102	1	1	yes	characteristic
1111	C₂³×C₄	C₂×#102	1	1	yes	characteristic
1112	C₂³×C₄	C₂×#102	1	1	yes	characteristic
1113	C₂³×C₄	C₂×#102	1	1	yes	characteristic
1114	C₂³×C₄	C₂×#102	1	1	yes	characteristic
1115	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1116	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1117	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1118	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1119	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1120	C₂³×C₄	C₂²×D₈	1	1	yes	characteristic
1121	C₂³×C₄	C₂²×D₈	1	1	yes	characteristic
1122	C₂³×C₄	C₂²×D₈	1	1	yes	characteristic
1123	C₂³×C₄	C₂²×D₈	1	1	yes	characteristic
1124	C₂³×C₄	C₂²×D₈	1	1	yes	characteristic
1125	C₂³×C₄	C₂²×SD₁₆	1	1	yes	characteristic
1126	C₂³×C₄	C₂²×SD₁₆	1	1	yes	characteristic
1127	C₂³×C₄	C₂²×SD₁₆	1	1	yes	characteristic
1128	C₂³×C₄	C₂²×SD₁₆	1	1	yes	characteristic
1129	C₂³×C₄	C₂²×SD₁₆	1	1	yes	characteristic
1130	C₂×D₈	#518	1	2	yes	—
1131	C₂×D₈	#518	1	2	yes	—
1132	C₂×D₈	C₂×#131	1	2	yes	—
1133	C₂×D₈	C₂×#131	1	2	yes	—
1134	C₂×D₈	#568	1	2	yes	—
1135	C₂×D₈	#568	1	2	yes	—
1136	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1137	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1138	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1139	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1140	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1141	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1142	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1143	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1144	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1145	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1146	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1147	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1148	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1149	C₂²×C₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1150	C₂²×C₈	C₂×#131	1	2	yes	—
1151	C₂²×C₈	#568	1	2	yes	—
1152	C₂²×C₈	C₂⁴×C₄	1	1	yes	characteristic
1153	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1154	#120	#361	1	8	yes	—
1155	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1156	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1157	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1158	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1159	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1160	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1161	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1162	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1163	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1164	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1165	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1166	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1167	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1168	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1169	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1170	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1171	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1172	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1173	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1174	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1175	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1176	C₂×C₄⋊C₄	C₂×#102	1	1	yes	characteristic
1177	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1178	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1179	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1180	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1181	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1182	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1183	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1184	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1185	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1186	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1187	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1188	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1189	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1190	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1191	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1192	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1193	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1194	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1195	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1196	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1197	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1198	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1199	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1200	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1201	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1202	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1203	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1204	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1205	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1206	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1207	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1208	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1209	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1210	C₂×C₂²⋊C₄	C₂×#102	1	1	yes	characteristic
1211	C₂×C₄²	C₂×#102	1	1	yes	characteristic
1212	C₂×C₄²	C₂×#102	1	1	yes	characteristic
1213	C₂×C₄²	C₂×#102	1	1	yes	characteristic
1214	C₂×C₄²	C₂×#102	1	1	yes	characteristic
1215	C₂×C₄²	C₂×#102	1	1	yes	characteristic
1216	C₂×C₄²	C₂×#102	1	1	yes	characteristic
1217	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1218	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1219	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1220	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1221	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1222	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1223	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1224	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1225	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1226	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1227	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1228	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1229	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1230	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1231	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1232	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1233	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1234	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1235	C₂×C₄²	C₂²×SD₁₆	1	1	yes	characteristic
1236	C₂×C₄²	C₂²×SD₁₆	1	1	yes	characteristic
1237	C₂×C₄²	C₂²×SD₁₆	1	1	yes	characteristic
1238	C₂×C₄²	C₂²×SD₁₆	1	1	yes	characteristic
1239	C₂×C₄²	C₂²×SD₁₆	1	1	yes	characteristic
1240	C₂×C₄²	C₂²×SD₁₆	1	1	yes	characteristic
1241	C₂×C₄²	C₂²×SD₁₆	1	1	yes	characteristic
1242	C₂×C₄²	C₂²×SD₁₆	1	1	yes	characteristic
1243	C₂×C₄²	C₂²×SD₁₆	1	1	yes	characteristic
1244	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1245	#107	#518	1	2	yes	—
1246	#107	#518	1	2	yes	—
1247	C₄×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1248	C₄×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1249	C₄×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1250	C₄×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1251	#95	C₂×#102	1	1	yes	characteristic
1252	#95	C₂×#102	1	1	yes	characteristic
1253	#95	C₂×#102	1	1	yes	characteristic
1254	#95	C₂×#102	1	1	yes	characteristic
1255	#95	C₂×#102	1	1	yes	characteristic
1256	#95	C₂×#102	1	1	yes	characteristic
1257	#95	C₂×#102	1	1	yes	characteristic
1258	#95	C₂×#102	1	1	yes	characteristic
1259	#95	C₂×#102	1	1	yes	characteristic
1260	#95	C₂×#102	1	1	yes	characteristic
1261	#95	C₂×#102	1	1	yes	characteristic
1262	#95	C₂×#102	1	1	yes	characteristic
1263	#95	C₂×#102	1	1	yes	characteristic
1264	#95	C₂×#102	1	1	yes	characteristic
1265	#95	C₂×#102	1	1	yes	characteristic
1266	#95	C₂×#102	1	1	yes	characteristic
1267	#95	C₂×#102	1	1	yes	characteristic
1268	#95	C₂×#102	1	1	yes	characteristic
1269	#95	C₂×#102	1	1	yes	characteristic
1270	#95	C₂×#102	1	1	yes	characteristic
1271	#95	C₂×#102	1	1	yes	characteristic
1272	#95	C₂×#102	1	1	yes	characteristic
1273	#95	C₂×#102	1	1	yes	characteristic
1274	#95	C₂×#102	1	1	yes	characteristic
1275	#95	C₂×#102	1	1	yes	characteristic
1276	#95	C₂×#102	1	1	yes	characteristic
1277	#95	C₂×#102	1	1	yes	characteristic
1278	#95	C₂×#102	1	1	yes	characteristic
1279	#95	C₂×#102	1	1	yes	characteristic
1280	#95	C₂×#102	1	1	yes	characteristic
1281	#95	C₂×#102	1	1	yes	characteristic
1282	#95	C₂×#102	1	1	yes	characteristic
1283	C₂⁴	C₂×#361	1	4	yes	—
1284	C₂⁴	C₂²×#102	1	1	yes	characteristic
1285	C₂⁴	C₂²×#102	1	1	yes	characteristic
1286	C₂⁴	C₂²×#102	1	1	yes	characteristic
1287	C₂⁴	C₂²×#102	1	1	yes	characteristic
1288	C₂⁴	C₂²×#102	1	1	yes	characteristic
1289	C₂×D₄	C₂×#361	1	4	yes	—
1290	C₂×D₄	C₂×#361	1	4	yes	—
1291	C₂×D₄	C₂×#361	1	4	yes	—
1292	C₂²×C₄	#2880	1	2	yes	—
1293	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1294	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1295	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1296	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1297	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1298	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1299	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1300	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1301	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1302	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1303	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1304	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1305	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1306	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1307	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1308	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1309	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1310	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1311	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1312	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1313	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1314	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1315	C₂²×C₄	C₂²×#102	1	1	yes	characteristic
1316	C₂²×C₄	#2901	1	2	yes	—
1317	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1318	C₂²×C₄	C₂³×D₈	1	1	yes	characteristic
1319	C₂²×C₄	C₂³×SD₁₆	1	1	yes	characteristic
1320	D₈	#2976	1	4	yes	—
1321	C₂×C₈	#2880	1	2	yes	—
1322	C₂×C₈	C₂×#518	1	1	yes	characteristic
1323	C₂×C₈	C₂×#518	1	1	yes	characteristic
1324	C₂×C₈	#3484	1	1	yes	characteristic
1325	C₂×C₈	#3484	1	1	yes	characteristic
1326	C₂×C₈	C₂²×#131	1	1	yes	characteristic
1327	C₂×C₈	C₂×#568	1	1	yes	characteristic
1328	C₂×C₈	C₂×#568	1	1	yes	characteristic
1329	C₂×C₈	C₂×#568	1	1	yes	characteristic
1330	C₂²⋊C₄	C₂×#361	1	4	yes	—
1331	C₂²⋊C₄	C₂×#361	1	4	yes	—
1332	C₂²⋊C₄	C₂×#361	1	4	yes	—
1333	C₄²	#3484	1	1	yes	characteristic
1334	C₄²	#3484	1	1	yes	characteristic
1335	C₄²	#3585	1	1	yes	characteristic
1336	C₄²	#3585	1	1	yes	characteristic
1337	C₂³	#17507	1	2	yes	—
1338	C₂³	#33388	1	2	yes	—
1339	C₂³	C₂²×#361	1	2	yes	—
1340	C₂³	C₂²×#361	1	2	yes	—
1341	C₂³	C₂²×#361	1	2	yes	—
1342	C₂³	C₂²×#361	1	2	yes	—
1343	C₂³	C₂³×#102	1	1	yes	characteristic
1344	C₂×C₄	#17507	1	2	yes	—
1345	C₂×C₄	C₂²×#361	1	2	yes	—
1346	C₂×C₄	C₂²×#361	1	2	yes	—
1347	C₂×C₄	C₂²×#361	1	2	yes	—
1348	C₂×C₄	#33392	1	2	yes	—
1349	C₂×C₄	#34171	1	1	yes	characteristic
1350	C₂×C₄	C₂×#2880	1	1	yes	characteristic
1351	C₂×C₄	#60064	1	1	yes	characteristic
1352	C₂×C₄	#60087	1	1	yes	characteristic
1353	C₂×C₄	C₂×#2901	1	1	yes	characteristic
1354	C₂×C₄	#60093	1	1	yes	characteristic
1355	C₂×C₄	#61559	1	1	yes	characteristic
1356	C₂×C₄	#61559	1	1	yes	characteristic
1357	C₂×C₄	#61560	1	1	yes	characteristic
1358	C₂×C₄	#61560	1	1	yes	characteristic
1359	C₈	C₂×#2976	1	1	yes	characteristic
1360	C₈	#60231	1	1	yes	characteristic
1361	C₈	#60233	1	1	yes	characteristic
1362	C₈	#60234	1	1	yes	characteristic
1363	C₂²	#481421	1	4	yes	—
1364	C₂²	C₂×#17507	1	1	yes	characteristic
1365	C₂²	#6343110	1	1	yes	characteristic
1366	C₂²	#6386001	1	1	yes	characteristic
1367	C₂²	C₂×#33388	1	1	yes	characteristic
1368	C₂²	#7622507	1	1	yes	characteristic
1369	C₂²	C₂³×#361	1	1	yes	characteristic
1370	C₂²	C₂×#33392	1	1	yes	characteristic
1371	C₄	#6343089	1	1	yes	characteristic
1372	C₄	#6343153	1	1	yes	characteristic
1373	C₄	#6385955	1	1	yes	characteristic
1374	C₄	#6386074	1	1	yes	characteristic
1375	C₂	#72265242	1	1	yes	characteristic
1376	C₂	C₂×#481421	1	1	yes	characteristic
1377	C₂	#72287799	1	1	yes	characteristic
1378	C₂	#72322087	1	1	yes	characteristic
1379	C₂	#72343041	1	1	yes	characteristic
1380	C₂	#72343188	1	1	yes	characteristic
1381	C₂	#72343276	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×#102
commutator	C₂²×C₈	C₂⁴×C₄
Frattini, cosocle	C₂×C₄×C₈	C₂⁵
prime radical	D₈×#525	C₂
LCS	G ▷ C₂²×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄×#525 ◁ C₈×#525 ◁ G
LECS	G ▷ C₂×C₄×C₈ ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72343807	C₂	semidirect
2. #72343797	C₂	semidirect
3. #72343792	C₂	semidirect
4. #72343785	C₂	semidirect
5. #72343757	C₂	semidirect
6. #72343711	C₂	semidirect
7. #72343711	C₂	semidirect
8. #72343700	C₂	semidirect
9. #72343691	C₂	semidirect
10. #72343691	C₂	semidirect
11. #72343554	C₂	semidirect
12. #72343537	C₂	semidirect
13. #72343520	C₂	semidirect
14. #72343505	C₂	semidirect
15. #72343371	C₂	semidirect
16. #72343327	C₂	semidirect
17. #72343303	C₂	semidirect
18. #72318990	C₂	semidirect
19. #72318908	C₂	semidirect
20. #72318781	C₂	semidirect
21. #72318709	C₂	semidirect
22. #72318709	C₂	semidirect
23. #72318675	C₂	semidirect
24. #72318656	C₂	semidirect
25. #72318476	C₂	semidirect
27. #72286195	C₂	semidirect
28. #72285982	C₂	semidirect
29. C₂×#129503	C₂	semidirect
30. D₄×#1333	C₂	semidirect
31. #72225044	C₂	semidirect
63. #495660	C₂²	semidirect
64. #495660	C₂²	semidirect
65. #495492	C₂²	semidirect
66. #495491	C₂²	semidirect
67. #495281	C₂²	semidirect
68. #495280	C₂²	semidirect
69. #494944	C₂²	semidirect
70. #494943	C₂²	semidirect
71. #494943	C₂²	semidirect
72. #494943	C₂²	semidirect
73. #493929	C₂²	semidirect
74. #493222	C₂²	semidirect
75. D₄×#346	C₂²	semidirect
76. C₂×#12599	C₂²	semidirect
77. C₂×#11680	C₂²	semidirect
78. C₂×#11678	C₂²	semidirect
79. C₂×#11654	C₂²	semidirect
80. C₂×#11652	C₂²	semidirect
83. C₂×#11667	C₂²	semidirect
84. C₂×#11667	C₂²	semidirect
85. C₂×#11667	C₂²	semidirect
86. C₂×#11663	C₂²	semidirect
87. C₂×#11599	C₂²	semidirect
90. C₂²×#1333	C₂²	semidirect
91. C₂²×#1333	C₂²	semidirect
92. C₂²×#1333	C₂²	semidirect
93. #225841	C₂²	semidirect
94. #225837	C₂²	semidirect
95. #225837	C₂²	semidirect
96. #225836	C₂²	semidirect
97. #225400	C₂²	semidirect
98. #225397	C₂²	semidirect
99. #225387	C₂²	semidirect
100. D₄×#334	C₂²	semidirect
101. #191622	C₂²	semidirect
102. #191622	C₂²	semidirect
103. #189510	C₂²	semidirect
104. #189509	C₂²	semidirect
105. #188722	C₂²	semidirect
106. C₂×#8595	C₂²	semidirect
107. #140868	C₂²	semidirect
108. #140868	C₂²	semidirect
109. #140868	C₂²	semidirect
110. #140868	C₂²	semidirect
111. #140846	C₂²	semidirect
112. #140846	C₂²	semidirect
113. #140846	C₂²	semidirect
114. #140846	C₂²	semidirect
115. #140578	C₂²	semidirect
116. #140578	C₂²	semidirect
117. #140576	C₂²	semidirect
118. #140576	C₂²	semidirect
119. #140530	C₂²	semidirect
120. #140530	C₂²	semidirect
121. #140526	C₂²	semidirect
122. #140526	C₂²	semidirect
123. #137654	C₂²	semidirect
124. #137654	C₂²	semidirect
125. #137654	C₂²	semidirect
126. #137654	C₂²	semidirect
127. #137654	C₂²	semidirect
128. #137654	C₂²	semidirect
129. #137652	C₂²	semidirect
130. #137652	C₂²	semidirect
131. #137614	C₂²	semidirect
132. #137614	C₂²	semidirect
133. #137612	C₂²	semidirect
134. #137612	C₂²	semidirect
135. #137612	C₂²	semidirect
136. #137612	C₂²	semidirect
137. #137612	C₂²	semidirect
138. #137612	C₂²	semidirect
139. #136642	C₂²	semidirect
140. #136642	C₂²	semidirect
141. #136642	C₂²	semidirect
142. #136642	C₂²	semidirect
143. #136642	C₂²	semidirect
144. #136642	C₂²	semidirect
145. #136641	C₂²	semidirect
146. #136641	C₂²	semidirect
147. #136614	C₂²	semidirect
148. #136614	C₂²	semidirect
149. #136613	C₂²	semidirect
150. #136613	C₂²	semidirect
151. #136613	C₂²	semidirect
152. #136613	C₂²	semidirect
153. #136613	C₂²	semidirect
154. #136613	C₂²	semidirect
155. #135285	C₂²	semidirect
156. #135285	C₂²	semidirect
157. #135285	C₂²	semidirect
158. #135285	C₂²	semidirect
159. #134409	C₂²	semidirect
160. #134409	C₂²	semidirect
161. #134407	C₂²	semidirect
162. #134407	C₂²	semidirect
163. #134364	C₂²	semidirect
164. #134364	C₂²	semidirect
165. #134362	C₂²	semidirect
166. #134362	C₂²	semidirect
167. #129555	C₂²	semidirect
168. #129555	C₂²	semidirect
169. #129555	C₂²	semidirect
170. #129555	C₂²	semidirect
171. #129555	C₂²	semidirect
172. #129555	C₂²	semidirect
173. #129555	C₂²	semidirect
174. #129555	C₂²	semidirect
183. #129503	C₂²	semidirect
184. #129503	C₂²	semidirect
185. #129503	C₂²	semidirect
186. #129503	C₂²	semidirect
187. #129503	C₂²	semidirect
188. #129503	C₂²	semidirect
189. #129503	C₂²	semidirect
190. #129503	C₂²	semidirect
191. #129503	C₂²	semidirect
192. #129503	C₂²	semidirect
193. #129503	C₂²	semidirect
194. #129503	C₂²	semidirect
195. #128617	C₂²	semidirect
196. #128617	C₂²	semidirect
197. #128603	C₂²	semidirect
198. #128603	C₂²	semidirect
199. #128590	C₂²	semidirect
200. #128590	C₂²	semidirect
201. C₄×#1333	C₂²	semidirect
202. C₄×#1333	C₂²	semidirect
239. C₂×#2163	C₂³	semidirect
240. C₂×#2163	C₂³	semidirect
241. C₂×C₄×M₃₂	C₂³	semidirect
244. C₂²×#346	C₂³	semidirect
384. C₂×#1568	C₂³	semidirect
385. C₂×#1566	C₂³	semidirect
386. C₂×#1564	C₂³	semidirect
389. C₂²×#334	C₂³	semidirect
390. #12653	C₂³	semidirect
391. #12653	C₂³	semidirect
392. #12653	C₂³	semidirect
393. #12653	C₂³	semidirect
402. #12599	C₂³	semidirect
403. #12599	C₂³	semidirect
404. #12599	C₂³	semidirect
405. #12599	C₂³	semidirect
406. #12591	C₂³	semidirect
407. #12591	C₂³	semidirect
408. C₄×#346	C₂³	semidirect
409. C₄×#346	C₂³	semidirect
442. C₂×#1333	C₂³	semidirect
443. C₂×#1333	C₂³	semidirect
444. C₂×#1333	C₂³	semidirect
445. C₂×#1333	C₂³	semidirect
446. C₂×#1333	C₂³	semidirect
447. C₂×#1333	C₂³	semidirect
448. C₂×#1333	C₂³	semidirect
449. C₂×#1333	C₂³	semidirect
450. C₂×#1333	C₂³	semidirect
451. C₂×#1333	C₂³	semidirect
452. C₂×#1333	C₂³	semidirect
453. C₂×#1333	C₂³	semidirect
454. C₂×#1333	C₂³	semidirect
455. C₂×#1333	C₂³	semidirect
456. C₂×#1333	C₂³	semidirect
457. C₂×#1333	C₂³	semidirect
458. #8807	C₂³	semidirect
459. #8807	C₂³	semidirect
460. #8805	C₂³	semidirect
461. #8805	C₂³	semidirect
470. #8595	C₂³	semidirect
471. #8595	C₂³	semidirect
472. #8595	C₂³	semidirect
473. #8595	C₂³	semidirect
474. #8273	C₂³	semidirect
475. #8273	C₂³	semidirect
476. C₄×#334	C₂³	semidirect
477. C₄×#334	C₂³	semidirect
478. #7178	C₂³	semidirect
479. #7178	C₂³	semidirect
480. #7178	C₂³	semidirect
481. #7178	C₂³	semidirect
482. #7178	C₂³	semidirect
483. #7178	C₂³	semidirect
484. #7178	C₂³	semidirect
485. #7178	C₂³	semidirect
486. #7178	C₂³	semidirect
487. #7178	C₂³	semidirect
488. #7178	C₂³	semidirect
489. #7178	C₂³	semidirect
490. #7178	C₂³	semidirect
491. #7178	C₂³	semidirect
492. #7178	C₂³	semidirect
493. #7178	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#72343807	2
#72343797	2
#72343792	2
#72343785	2
#72343757	2
#72343711	2
#72343700	2
#72343691	2
#72343554	2
#72343537	2
#72343520	2
#72343505	2
#72343371	2
#72343327	2
#72343303	2
#72318990	2
#72318908	2
#72318781	2
#72318709	2
#72318675	2
#72318656	2
#72318476	2
D₈×#525	2
#72286195	2
#72285982	2
C₂×#129503	2
D₄×#1333	2
#72225044	2