Subgroups — #7726720

Order 512.

5700 conjugacy classes of subgroups.

The subgroup lattice has 1509 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#50188	C₂	1	2	yes	maximal, complemented
2	#50187	C₂	1	2	yes	maximal, complemented
3	#49598	C₂	1	2	yes	maximal, complemented
4	#49595	C₂	1	2	yes	maximal, complemented
5	#47236	C₂	1	4	yes	maximal, complemented
6	#46469	C₂	1	4	yes	maximal, complemented
7	#44102	C₂	1	2	yes	maximal, complemented
8	#44081	C₂	1	2	yes	maximal, complemented
9	#43964	C₂	1	2	yes	maximal, complemented
10	#43963	C₂	1	2	yes	maximal, complemented
11	#39548	C₂	1	2	yes	maximal, complemented
12	#39540	C₂	1	2	yes	maximal, complemented
13	#39511	C₂	1	2	yes	maximal, complemented
14	#39503	C₂	1	2	yes	maximal, complemented
15	#39267	C₂	1	4	yes	maximal, complemented
16	#37770	C₂	1	4	yes	maximal, complemented
17	#37660	C₂	1	4	yes	maximal, complemented
18	#37439	C₂	1	1	yes	maximal, characteristic, complemented
19	#36987	C₂	1	4	yes	maximal, complemented
20	#36109	C₂	1	4	yes	maximal, complemented
21	#35465	C₂	1	4	yes	maximal, complemented
22	#35079	C₂	1	1	yes	maximal, characteristic, complemented
23	#35050	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#2539	C₂	1	1	yes	maximal, characteristic, complemented
25	#34379	C₂	1	1	yes	maximal, characteristic, complemented
26	#34233	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#2312	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#538	C₂²	1	4	yes	complemented
29	C₂×#529	C₂²	1	4	yes	complemented
30	C₂×#525	C₂²	1	1	yes	characteristic
31	C₂²×#123	C₂²	1	2	yes	—
32	C₂²×#121	C₂²	1	1	yes	characteristic
33	C₂²×#120	C₂²	1	2	yes	—
34	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
35	#2857	C₂²	1	2	yes	complemented
36	#2854	C₂²	1	4	yes	complemented
37	#2853	C₂²	1	4	yes	complemented
38	#2851	C₂²	1	2	yes	complemented
39	#2849	C₂²	1	2	yes	—
40	#2846	C₂²	1	2	yes	—
41	#2813	C₂²	1	2	yes	complemented
42	#2813	C₂²	1	2	yes	complemented
43	#2808	C₂²	1	4	yes	complemented
44	#2808	C₂²	1	4	yes	complemented
45	#2803	C₂²	1	4	yes	complemented
46	#2803	C₂²	1	4	yes	complemented
47	#2803	C₂²	1	4	yes	complemented
48	#2803	C₂²	1	4	yes	complemented
49	#2800	C₂²	1	4	yes	complemented
50	#2800	C₂²	1	4	yes	complemented
51	#2798	C₂²	1	4	yes	complemented
52	#2796	C₂²	1	4	yes	complemented
53	#2777	C₂²	1	4	yes	complemented
54	#2773	C₂²	1	4	yes	complemented
55	#2773	C₂²	1	4	yes	complemented
56	#2761	C₂²	1	4	yes	complemented
57	#2756	C₂²	1	4	yes	complemented
58	#2753	C₂²	1	4	yes	complemented
59	#2753	C₂²	1	4	yes	complemented
60	#2751	C₂²	1	4	yes	complemented
61	#2741	C₂²	1	4	yes	complemented
62	#2740	C₂²	1	4	yes	complemented
63	#2733	C₂²	1	4	yes	complemented
64	#2733	C₂²	1	4	yes	complemented
65	#2727	C₂²	1	4	yes	complemented
66	#2727	C₂²	1	4	yes	complemented
67	#2714	C₂²	1	4	yes	complemented
68	#2714	C₂²	1	4	yes	complemented
69	#2711	C₂²	1	4	yes	complemented
70	#2707	C₂²	1	4	yes	complemented
71	#2703	C₂²	1	4	yes	complemented
72	#2699	C₂²	1	4	yes	complemented
73	#2697	C₂²	1	4	yes	complemented
74	#2694	C₂²	1	4	yes	complemented
75	#2694	C₂²	1	4	yes	complemented
76	#2685	C₂²	1	4	yes	complemented
77	#2685	C₂²	1	4	yes	complemented
78	#2684	C₂²	1	4	yes	complemented
79	#2678	C₂²	1	4	yes	complemented
80	#2678	C₂²	1	4	yes	complemented
81	#2670	C₂²	1	4	yes	complemented
82	#2668	C₂²	1	4	yes	complemented
83	#2667	C₂²	1	2	yes	complemented
84	#2665	C₂²	1	2	yes	complemented
85	#2656	C₂²	1	2	yes	complemented
86	#2639	C₂²	1	2	yes	complemented
87	#2626	C₂²	1	1	yes	characteristic
88	#2626	C₂²	1	1	yes	characteristic
89	#2626	C₂²	1	2	yes	complemented
90	#2624	C₂²	1	2	yes	complemented
91	#2622	C₂²	1	4	yes	complemented
92	#2617	C₂²	1	1	yes	characteristic
93	#2617	C₂²	1	1	yes	characteristic
94	#2617	C₂²	1	4	yes	complemented
95	#2617	C₂²	1	2	yes	complemented
96	#2615	C₂²	1	2	yes	complemented
97	#2610	C₂²	1	4	yes	complemented
98	#2604	C₂²	1	4	yes	complemented
99	#2602	C₂²	1	4	yes	complemented
100	#2602	C₂²	1	4	yes	complemented
101	#2601	C₂²	1	4	yes	complemented
102	#2597	C₂²	1	4	yes	complemented
103	#2596	C₂²	1	4	yes	complemented
104	#2596	C₂²	1	4	yes	complemented
105	#2592	C₂²	1	4	yes	complemented
106	#2569	C₂²	1	2	yes	complemented
107	#2561	C₂²	1	2	yes	complemented
108	#2559	C₂²	1	4	yes	complemented
109	#2558	C₂²	1	4	yes	complemented
110	#2558	C₂²	1	4	yes	complemented
111	#2557	C₂²	1	4	yes	complemented
112	#2555	C₂²	1	4	yes	complemented
113	#2554	C₂²	1	4	yes	complemented
114	#2554	C₂²	1	4	yes	complemented
115	#2553	C₂²	1	4	yes	complemented
116	#2549	C₂²	1	2	yes	complemented
117	#2545	C₂²	1	4	yes	complemented
118	#2543	C₂²	1	4	yes	complemented
119	#2539	C₂²	1	2	yes	—
120	#2539	C₂²	1	2	yes	—
121	#2539	C₂²	1	4	yes	—
122	#2539	C₂²	1	2	yes	—
123	#2539	C₂²	1	4	yes	—
124	#2539	C₂²	1	2	yes	—
125	#2539	C₂²	1	2	yes	complemented
126	#2534	C₂²	1	4	yes	complemented
127	#2521	C₂²	1	4	yes	complemented
128	#2519	C₂²	1	4	yes	complemented
129	#2513	C₂²	1	4	yes	complemented
130	#2512	C₂²	1	4	yes	complemented
131	#2500	C₂²	1	4	yes	complemented
132	#2498	C₂²	1	4	yes	complemented
133	#2491	C₂²	1	4	yes	complemented
134	#2488	C₂²	1	4	yes	complemented
135	#2487	C₂²	1	2	yes	complemented
136	#2482	C₂²	1	2	yes	complemented
137	#2481	C₂²	1	4	yes	complemented
138	#2480	C₂²	1	4	yes	—
139	#2480	C₂²	1	4	yes	—
140	#2480	C₂²	1	4	yes	complemented
141	#2479	C₂²	1	4	yes	complemented
142	#2479	C₂²	1	4	yes	complemented
143	#2473	C₂²	1	4	yes	complemented
144	#2472	C₂²	1	4	yes	—
145	#2472	C₂²	1	4	yes	complemented
146	#2472	C₂²	1	4	yes	complemented
147	#2471	C₂²	1	4	yes	complemented
148	#2470	C₂²	1	4	yes	complemented
149	#2459	C₂²	1	4	yes	complemented
150	#2458	C₂²	1	4	yes	complemented
151	#2458	C₂²	1	4	yes	complemented
152	#2457	C₂²	1	4	yes	complemented
153	#2456	C₂²	1	4	yes	complemented
154	#2456	C₂²	1	4	yes	complemented
155	#2448	C₂²	1	4	yes	complemented
156	#2448	C₂²	1	4	yes	complemented
157	#2442	C₂²	1	2	yes	complemented
158	#2441	C₂²	1	2	yes	complemented
159	#2440	C₂²	1	2	yes	complemented
160	#2439	C₂²	1	2	yes	complemented
161	#2437	C₂²	1	4	yes	—
162	#2435	C₂²	1	4	yes	—
163	#2425	C₂²	1	4	yes	complemented
164	#2425	C₂²	1	4	yes	complemented
165	#2424	C₂²	1	4	yes	complemented
166	#2424	C₂²	1	4	yes	complemented
167	#2419	C₂²	1	4	yes	complemented
168	#2418	C₂²	1	4	yes	—
169	#2418	C₂²	1	4	yes	complemented
170	#2416	C₂²	1	4	yes	complemented
171	#2414	C₂²	1	4	yes	complemented
172	#2414	C₂²	1	4	yes	complemented
173	#2411	C₂²	1	4	yes	complemented
174	#2410	C₂²	1	4	yes	—
175	#2410	C₂²	1	4	yes	—
176	#2408	C₂²	1	4	yes	—
177	#2408	C₂²	1	2	yes	complemented
178	#2405	C₂²	1	4	yes	—
179	#2404	C₂²	1	2	yes	complemented
180	C₂×#399	C₂²	1	1	yes	characteristic
181	C₂×#399	C₂²	1	1	yes	characteristic
182	C₂×#392	C₂²	1	1	yes	characteristic
183	C₂×#392	C₂²	1	1	yes	characteristic
184	#2377	C₂²	1	2	yes	complemented
185	#2377	C₂²	1	2	yes	complemented
186	#2361	C₂²	1	4	yes	complemented
187	#2361	C₂²	1	2	yes	complemented
188	#2360	C₂²	1	4	yes	complemented
189	#2360	C₂²	1	2	yes	complemented
190	#2358	C₂²	1	4	yes	—
191	#2358	C₂²	1	4	yes	complemented
192	#2353	C₂²	1	2	yes	complemented
193	#2352	C₂²	1	4	yes	complemented
194	#2349	C₂²	1	2	yes	complemented
195	#2347	C₂²	1	1	yes	characteristic, complemented
196	#2346	C₂²	1	1	yes	characteristic, complemented
197	#2345	C₂²	1	2	yes	complemented
198	#2342	C₂²	1	4	yes	complemented
199	#2341	C₂²	1	1	yes	characteristic, complemented
200	#2339	C₂²	1	1	yes	characteristic, complemented
201	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
202	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
203	#2335	C₂²	1	4	yes	complemented
204	#2329	C₂²	1	4	yes	complemented
205	#2325	C₂²	1	4	yes	complemented
206	#2324	C₂²	1	4	yes	complemented
207	#2321	C₂²	1	2	yes	—
208	#2321	C₂²	1	2	yes	—
209	#2321	C₂²	1	4	yes	complemented
210	#2318	C₂²	1	2	yes	complemented
211	#2315	C₂²	1	2	yes	complemented
212	#2312	C₂²	1	2	yes	—
213	#2312	C₂²	1	2	yes	—
214	#2312	C₂²	1	2	yes	—
215	#2312	C₂²	1	2	yes	—
216	#2312	C₂²	1	2	yes	complemented
217	#2312	C₂²	1	2	yes	complemented
218	#2312	C₂²	1	2	yes	complemented
219	#2312	C₂²	1	2	yes	complemented
220	#2312	C₂²	1	2	yes	complemented
221	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
222	C₄×#123	C₂²	1	4	yes	complemented
223	C₄×#121	C₂²	1	2	yes	complemented
224	C₂×#390	C₂²	1	2	yes	—
225	C₂×#390	C₂²	1	2	yes	—
226	C₂×#388	C₂²	1	4	yes	complemented
227	C₂×#388	C₂²	1	4	yes	complemented
228	#2280	C₂²	1	1	yes	characteristic
229	C₂×#380	C₂²	1	1	yes	characteristic
230	C₂×#380	C₂²	1	1	yes	characteristic
231	C₂×#379	C₂²	1	2	yes	—
232	#2275	C₂²	1	2	yes	complemented
233	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
234	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
235	C₂⁶	C₂³	1	1	yes	characteristic
236	C₂²×#41	C₂³	1	1	yes	characteristic
237	C₂³×D₄	C₂³	1	2	yes	—
238	C₂³×D₄	C₂³	1	1	yes	characteristic
239	C₂³×D₄	C₂³	1	2	yes	—
240	C₂³×D₄	C₂³	1	2	yes	—
241	C₂⁴×C₄	C₂³	1	1	yes	characteristic
242	C₂⁴×C₄	C₂³	1	1	yes	characteristic
243	#538	—	4	16	no	—
244	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
245	#529	—	4	16	no	—
246	C₂×#126	C₂³	1	4	yes	—
247	C₂×#126	C₂³	1	4	yes	—
248	C₂×#126	C₂³	1	4	yes	complemented
249	C₂×#126	C₂³	1	4	yes	complemented
250	C₂×#125	C₂³	1	4	yes	complemented
251	C₂×#125	C₂³	1	2	yes	complemented
252	C₂×#124	C₂³	1	4	yes	—
253	C₂×#124	C₂³	1	4	yes	—
254	C₂×#124	C₂³	1	4	yes	—
255	C₂×#124	C₂³	1	4	yes	complemented
256	#525	—	2	8	no	—
257	C₂×#123	—	4	8	no	—
258	C₂×#123	C₂³	1	2	yes	—
259	C₂×#123	C₂³	1	4	yes	—
260	C₂×#123	C₂³	1	4	yes	—
261	C₂×#123	C₂³	1	4	yes	—
262	C₂×#123	C₂³	1	4	yes	—
263	C₂×#123	C₂³	1	4	yes	—
264	C₂×#123	C₂³	1	4	yes	—
265	C₂×#123	C₂³	1	4	yes	—
266	C₂×#123	C₂³	1	4	yes	—
267	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
269	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
271	C₂×#121	—	2	8	no	—
272	C₂×#121	C₂³	1	2	yes	—
273	C₂×#121	C₂³	1	2	yes	—
274	C₂×#121	C₂³	1	2	yes	—
275	C₂×#121	C₂³	1	2	yes	—
276	C₂×#121	C₂³	1	1	yes	characteristic
277	C₂×#121	C₂³	1	1	yes	characteristic
278	C₂×#121	C₂³	1	4	yes	—
279	C₂×#121	C₂³	1	4	yes	—
280	C₂×#121	C₂³	1	4	yes	—
281	C₂×#121	C₂³	1	4	yes	—
282	C₂×#121	C₂³	1	4	yes	—
283	C₂×#121	C₂³	1	4	yes	—
284	C₂×#121	C₂³	1	4	yes	complemented
285	C₂×#120	—	4	8	no	—
286	C₂×#120	C₂³	1	4	yes	—
287	C₂×#120	C₂³	1	2	yes	—
288	C₂×#120	C₂³	1	2	yes	—
289	C₂×#120	C₂³	1	2	yes	—
290	C₂×#120	C₂³	1	4	yes	—
291	C₂×#120	C₂³	1	4	yes	—
292	C₂×#120	C₂³	1	4	yes	—
293	C₂×#120	C₂³	1	4	yes	—
294	C₂×#120	C₂³	1	4	yes	—
295	C₂×#120	C₂³	1	4	yes	—
296	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
297	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
298	C₂×C₄×D₄	C₂³	1	2	yes	—
299	C₂×C₄×D₄	C₂³	1	2	yes	—
300	C₂×C₄×D₄	C₂³	1	4	yes	—
301	C₂×C₄×D₄	C₂³	1	4	yes	—
302	C₂×C₄×D₄	C₂³	1	4	yes	—
303	C₂×C₄×D₄	C₂³	1	4	yes	—
304	C₂×C₄×D₄	C₂³	1	4	yes	complemented
305	C₂×C₄×D₄	C₂³	1	4	yes	complemented
306	C₂×C₄×D₄	C₂³	1	2	yes	complemented
307	C₂×#117	C₂³	1	1	yes	characteristic
308	C₂×#117	C₂³	1	2	yes	—
309	C₂×#117	C₂³	1	4	yes	complemented
310	C₂×#117	C₂³	1	4	yes	complemented
311	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
313	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
314	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
315	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
316	C₂²×C₂²⋊C₄	—	2	8	no	—
317	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
318	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
323	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
324	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
327	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
328	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
330	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
331	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
332	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
333	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
334	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
335	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
336	C₂²×C₄²	C₂³	1	4	yes	—
337	C₂²×C₄²	C₂³	1	2	yes	—
338	#400	C₂³	1	4	yes	complemented
339	#400	C₂³	1	2	yes	complemented
340	#400	C₂³	1	2	yes	complemented
341	#400	C₂³	1	4	yes	complemented
342	#400	C₂³	1	4	yes	complemented
343	#400	C₂³	1	4	yes	complemented
344	#399	C₂³	1	4	yes	—
345	#399	C₂³	1	4	yes	—
346	#399	C₂³	1	2	yes	—
347	#399	C₂³	1	2	yes	—
348	#399	C₂³	1	2	yes	—
349	#399	C₂³	1	2	yes	—
350	#399	C₂³	1	2	yes	—
351	#399	C₂³	1	2	yes	—
352	#399	C₂³	1	4	yes	—
353	#399	C₂³	1	4	yes	—
354	#399	C₂³	1	4	yes	complemented
355	#399	C₂³	1	2	yes	complemented
356	#399	C₂³	1	2	yes	complemented
357	#398	C₂³	1	4	yes	complemented
358	#398	C₂³	1	4	yes	complemented
359	#398	C₂³	1	4	yes	complemented
360	#398	C₂³	1	4	yes	complemented
361	#398	C₂³	1	4	yes	complemented
362	#397	C₂³	1	2	yes	—
363	#397	C₂³	1	2	yes	—
364	#397	C₂³	1	4	yes	—
365	#397	C₂³	1	4	yes	—
366	#397	C₂³	1	4	yes	—
367	#397	C₂³	1	4	yes	—
368	#397	C₂³	1	4	yes	—
369	#397	C₂³	1	4	yes	—
370	#397	C₂³	1	4	yes	—
371	#397	C₂³	1	4	yes	—
372	#397	C₂³	1	4	yes	complemented
373	#397	C₂³	1	4	yes	complemented
374	#397	C₂³	1	4	yes	complemented
375	#397	C₂³	1	4	yes	complemented
376	#397	C₂³	1	4	yes	complemented
377	#397	C₂³	1	4	yes	complemented
378	#396	C₂³	1	4	yes	—
379	#396	C₂³	1	4	yes	—
380	#396	C₂³	1	4	yes	—
381	#396	C₂³	1	4	yes	—
382	#396	C₂³	1	4	yes	—
383	#396	C₂³	1	4	yes	—
384	#396	C₂³	1	4	yes	complemented
385	#396	C₂³	1	4	yes	complemented
386	#396	C₂³	1	4	yes	complemented
387	#396	C₂³	1	4	yes	complemented
388	#395	C₂³	1	4	yes	complemented
389	#394	C₂³	1	4	yes	—
390	#394	C₂³	1	4	yes	—
391	#394	C₂³	1	4	yes	—
392	#394	C₂³	1	4	yes	—
393	#394	C₂³	1	4	yes	—
394	#394	C₂³	1	4	yes	—
395	#394	C₂³	1	4	yes	—
396	#394	C₂³	1	4	yes	—
397	#394	C₂³	1	4	yes	—
398	#394	C₂³	1	4	yes	—
399	#394	C₂³	1	4	yes	—
400	#394	C₂³	1	4	yes	—
401	#394	C₂³	1	4	yes	—
402	#394	C₂³	1	4	yes	—
403	#394	C₂³	1	4	yes	—
404	#394	C₂³	1	4	yes	—
405	#394	C₂³	1	4	yes	—
406	#394	C₂³	1	4	yes	—
407	#394	C₂³	1	4	yes	—
408	#394	C₂³	1	4	yes	—
409	#394	C₂³	1	2	yes	complemented
410	#394	C₂³	1	4	yes	complemented
411	#394	C₂³	1	4	yes	complemented
412	#394	C₂³	1	2	yes	complemented
413	#394	C₂³	1	4	yes	complemented
414	#394	C₂³	1	4	yes	complemented
415	#393	C₂³	1	2	yes	—
416	#393	C₂³	1	2	yes	—
417	#393	C₂³	1	4	yes	—
418	#393	C₂³	1	4	yes	—
419	#393	C₂³	1	4	yes	complemented
420	#393	C₂³	1	4	yes	complemented
421	#392	C₂³	1	4	yes	—
422	#392	C₂³	1	4	yes	—
423	#392	C₂³	1	2	yes	—
424	#392	C₂³	1	4	yes	—
425	#392	C₂³	1	4	yes	—
426	#392	C₂³	1	2	yes	—
427	#392	C₂³	1	2	yes	—
428	#392	C₂³	1	4	yes	—
429	#392	C₂³	1	4	yes	—
430	#392	C₂³	1	4	yes	—
431	#392	C₂³	1	2	yes	—
432	#392	C₂³	1	2	yes	—
433	#392	C₂³	1	2	yes	—
434	#392	C₂³	1	4	yes	—
435	#392	C₂³	1	4	yes	complemented
436	#392	C₂³	1	2	yes	complemented
437	#392	C₂³	1	2	yes	complemented
438	#391	C₂³	1	4	yes	complemented
439	#391	C₂³	1	4	yes	complemented
440	#391	C₂³	1	4	yes	complemented
441	#391	C₂³	1	2	yes	complemented
442	#390	C₂³	1	4	yes	—
443	#390	C₂³	1	4	yes	—
444	#390	C₂³	1	4	yes	—
445	#390	C₂³	1	4	yes	—
446	#390	C₂³	1	4	yes	—
447	#390	C₂³	1	4	yes	—
448	#390	C₂³	1	4	yes	—
449	#390	C₂³	1	4	yes	—
450	#390	C₂³	1	4	yes	—
451	#390	C₂³	1	4	yes	—
452	#390	C₂³	1	4	yes	—
453	#390	C₂³	1	4	yes	—
454	#390	C₂³	1	4	yes	—
455	#390	C₂³	1	4	yes	—
456	#390	C₂³	1	4	yes	—
457	#390	C₂³	1	4	yes	—
458	#390	C₂³	1	4	yes	—
459	#390	C₂³	1	4	yes	—
460	#390	C₂³	1	4	yes	complemented
461	#390	C₂³	1	2	yes	complemented
462	#390	C₂³	1	4	yes	complemented
463	#390	C₂³	1	4	yes	complemented
464	#390	C₂³	1	4	yes	complemented
465	#389	C₂³	1	4	yes	complemented
466	#389	C₂³	1	4	yes	complemented
467	#389	C₂³	1	4	yes	complemented
468	#389	C₂³	1	4	yes	complemented
469	#389	C₂³	1	2	yes	complemented
470	#389	C₂³	1	2	yes	complemented
471	#389	C₂³	1	4	yes	complemented
472	#389	C₂³	1	4	yes	complemented
473	#389	C₂³	1	2	yes	complemented
474	#389	C₂³	1	2	yes	complemented
475	#389	C₂³	1	2	yes	complemented
476	#389	C₂³	1	2	yes	complemented
477	#389	C₂³	1	4	yes	complemented
478	#389	C₂³	1	4	yes	complemented
479	#389	C₂³	1	4	yes	complemented
480	#388	C₂³	1	4	yes	—
481	#388	C₂³	1	4	yes	—
482	#388	C₂³	1	4	yes	—
483	#388	C₂³	1	4	yes	—
484	#388	C₂³	1	4	yes	—
485	#388	C₂³	1	4	yes	—
486	#388	C₂³	1	4	yes	—
487	#388	C₂³	1	4	yes	—
488	#388	C₂³	1	4	yes	—
489	#388	C₂³	1	4	yes	—
490	#388	C₂³	1	4	yes	—
491	#388	C₂³	1	4	yes	—
492	#388	C₂³	1	4	yes	—
493	#388	C₂³	1	4	yes	—
494	#388	C₂³	1	4	yes	—
495	#388	C₂³	1	4	yes	—
496	#388	C₂³	1	4	yes	—
497	#388	C₂³	1	4	yes	—
498	#388	C₂³	1	4	yes	—
499	#388	C₂³	1	4	yes	—
500	#388	C₂³	1	4	yes	—
501	#388	C₂³	1	4	yes	—
502	#388	C₂³	1	4	yes	—
503	#388	C₂³	1	4	yes	—
504	#388	C₂³	1	4	yes	—
505	#388	C₂³	1	4	yes	—
506	#388	C₂³	1	4	yes	—
507	#388	C₂³	1	4	yes	—
508	#388	C₂³	1	4	yes	—
509	#388	C₂³	1	4	yes	—
510	#388	C₂³	1	4	yes	—
511	#388	C₂³	1	4	yes	—
512	#388	C₂³	1	4	yes	complemented
513	#388	C₂³	1	4	yes	complemented
514	#388	C₂³	1	4	yes	complemented
515	#388	C₂³	1	4	yes	complemented
516	#388	C₂³	1	4	yes	complemented
517	#388	C₂³	1	4	yes	complemented
518	#388	C₂³	1	4	yes	complemented
519	#388	C₂³	1	4	yes	complemented
520	#388	C₂³	1	4	yes	complemented
521	#388	C₂³	1	4	yes	complemented
522	#388	C₂³	1	4	yes	complemented
523	#388	C₂³	1	4	yes	complemented
524	#388	C₂³	1	4	yes	complemented
525	#388	C₂³	1	4	yes	complemented
526	#388	C₂³	1	4	yes	complemented
527	#388	C₂³	1	4	yes	complemented
528	#388	C₂³	1	4	yes	complemented
529	#388	C₂³	1	4	yes	complemented
530	#388	C₂³	1	4	yes	complemented
531	#388	C₂³	1	4	yes	complemented
532	#387	C₂³	1	4	yes	complemented
533	#387	C₂³	1	4	yes	complemented
534	#387	C₂³	1	4	yes	complemented
535	#387	C₂³	1	4	yes	complemented
536	#387	C₂³	1	4	yes	complemented
537	#387	C₂³	1	4	yes	complemented
538	#387	C₂³	1	4	yes	complemented
539	#387	C₂³	1	4	yes	complemented
540	#387	C₂³	1	4	yes	complemented
541	#387	C₂³	1	4	yes	complemented
542	#387	C₂³	1	4	yes	complemented
543	#387	C₂³	1	4	yes	complemented
544	#387	C₂³	1	4	yes	complemented
545	#387	C₂³	1	4	yes	complemented
546	#387	C₂³	1	4	yes	complemented
547	#387	C₂³	1	4	yes	complemented
548	#386	C₂³	1	4	yes	—
549	#386	C₂³	1	2	yes	—
550	#386	C₂³	1	2	yes	—
551	#386	C₂³	1	4	yes	—
552	#386	C₂³	1	4	yes	—
553	#386	C₂³	1	4	yes	—
554	#386	C₂³	1	4	yes	—
555	#386	C₂³	1	4	yes	—
556	#386	C₂³	1	4	yes	—
557	#386	C₂³	1	4	yes	—
558	#386	C₂³	1	4	yes	—
559	#386	C₂³	1	4	yes	—
560	#386	C₂³	1	4	yes	—
561	#386	C₂³	1	4	yes	—
562	#386	C₂³	1	4	yes	—
563	#386	C₂³	1	4	yes	—
564	#386	C₂³	1	4	yes	—
565	#386	C₂³	1	4	yes	—
566	#386	C₂³	1	4	yes	—
567	#386	C₂³	1	4	yes	—
568	#386	C₂³	1	4	yes	complemented
569	#386	C₂³	1	4	yes	complemented
570	#386	C₂³	1	4	yes	complemented
571	#386	C₂³	1	4	yes	complemented
572	#385	C₂³	1	4	yes	—
573	#385	C₂³	1	4	yes	—
574	#385	C₂³	1	2	yes	—
575	#385	C₂³	1	2	yes	—
576	#385	C₂³	1	4	yes	—
577	#385	C₂³	1	4	yes	—
578	#385	C₂³	1	4	yes	—
579	#385	C₂³	1	4	yes	—
580	#385	C₂³	1	4	yes	—
581	#385	C₂³	1	4	yes	—
582	#385	C₂³	1	4	yes	complemented
583	#385	C₂³	1	4	yes	complemented
584	#385	C₂³	1	4	yes	complemented
585	#385	C₂³	1	4	yes	complemented
586	#385	C₂³	1	4	yes	complemented
587	#385	C₂³	1	4	yes	complemented
588	#384	C₂³	1	2	yes	complemented
589	#383	C₂³	1	2	yes	complemented
590	#382	C₂³	1	2	yes	complemented
591	#382	C₂³	1	2	yes	complemented
592	#382	C₂³	1	4	yes	complemented
593	#381	C₂³	1	4	yes	—
594	#381	C₂³	1	2	yes	—
595	#381	C₂³	1	2	yes	complemented
596	#381	C₂³	1	4	yes	complemented
597	#380	C₂³	1	2	yes	—
598	#380	C₂³	1	2	yes	—
599	#380	C₂³	1	2	yes	—
600	#380	C₂³	1	2	yes	—
601	#380	C₂³	1	2	yes	—
602	#380	C₂³	1	1	yes	characteristic
603	#380	C₂³	1	1	yes	characteristic
604	#380	C₂³	1	1	yes	characteristic
605	#380	C₂³	1	2	yes	—
606	#380	C₂³	1	1	yes	characteristic
607	#380	C₂³	1	1	yes	characteristic
608	#380	C₂³	1	4	yes	—
609	#380	C₂³	1	1	yes	characteristic
610	#380	C₂³	1	4	yes	—
611	#380	C₂³	1	2	yes	—
612	#380	C₂³	1	4	yes	—
613	#380	C₂³	1	2	yes	complemented
614	#380	C₂³	1	4	yes	complemented
615	#380	C₂³	1	4	yes	complemented
616	#380	C₂³	1	4	yes	complemented
617	#379	C₂³	1	4	yes	—
618	#379	C₂³	1	4	yes	—
619	#379	C₂³	1	4	yes	—
620	#379	C₂³	1	2	yes	—
621	#379	C₂³	1	2	yes	—
622	#379	C₂³	1	2	yes	—
623	#379	C₂³	1	2	yes	—
624	#379	C₂³	1	4	yes	—
625	#379	C₂³	1	2	yes	—
626	#379	C₂³	1	2	yes	—
627	#379	C₂³	1	2	yes	—
628	#379	C₂³	1	4	yes	—
629	#379	C₂³	1	4	yes	—
630	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
631	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
632	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
633	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
634	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
635	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
636	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
637	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
638	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
639	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
640	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
641	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
642	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
643	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
644	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
645	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
646	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
647	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
648	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
649	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
650	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
651	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
652	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
653	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
654	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
655	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
656	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
657	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
658	#376	C₂³	1	2	yes	complemented
659	C₂×#95	C₂³	1	1	yes	characteristic
660	C₂×#95	C₂³	1	2	yes	—
661	C₂×#95	C₂³	1	2	yes	—
662	C₂×#95	C₂³	1	1	yes	characteristic
663	C₂×#95	C₂³	1	4	yes	—
664	C₂×#95	C₂³	1	2	yes	complemented
665	C₂⁵	—	2	4	no	—
666	C₂⁵	—	4	2	no	—
667	C₂⁵	—	4	2	no	—
668	C₂⁵	—	4	4	no	—
669	C₂⁵	—	8	2	no	—
670	C₂⁵	C₂⁴	1	1	yes	characteristic
671	C₂⁵	C₂⁴	1	2	yes	—
672	C₂⁵	C₂⁴	1	2	yes	—
673	C₂⁵	C₂⁴	1	1	yes	characteristic
674	C₂⁵	C₂⁴	1	1	yes	characteristic
675	C₂⁵	C₂⁴	1	2	yes	—
676	C₂×#41	—	2	4	no	—
677	C₂×#41	—	8	2	no	—
678	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
679	C₂²×Q₈	C₂⁴	1	4	yes	—
680	C₂²×D₄	—	2	8	no	—
681	C₂²×D₄	—	2	4	no	—
682	C₂²×D₄	—	4	4	no	—
683	C₂²×D₄	—	4	4	no	—
684	C₂²×D₄	—	4	4	no	—
685	C₂²×D₄	—	4	4	no	—
686	C₂²×D₄	—	4	4	no	—
687	C₂²×D₄	—	4	4	no	—
688	C₂²×D₄	—	8	2	no	—
689	C₂²×D₄	—	8	2	no	—
690	C₂²×D₄	—	8	2	no	—
691	C₂²×D₄	C₂⁴	1	2	yes	—
692	C₂²×D₄	C₂⁴	1	2	yes	—
693	C₂²×D₄	C₂⁴	1	4	yes	—
694	C₂²×D₄	C₂⁴	1	2	yes	—
695	C₂²×D₄	C₂⁴	1	1	yes	characteristic
696	C₂²×D₄	C₂⁴	1	2	yes	—
697	C₂²×D₄	C₂⁴	1	4	yes	—
698	C₂²×D₄	C₂⁴	1	4	yes	—
699	C₂²×D₄	C₂⁴	1	4	yes	—
700	C₂²×D₄	C₂⁴	1	2	yes	—
701	C₂²×D₄	C₂⁴	1	4	yes	—
702	C₂²×D₄	C₂⁴	1	4	yes	—
703	C₂²×D₄	C₂⁴	1	4	yes	—
704	C₂²×D₄	C₂⁴	1	4	yes	—
705	C₂²×D₄	C₂⁴	1	4	yes	—
706	C₂²×D₄	C₂⁴	1	4	yes	—
707	C₂³×C₄	—	2	4	no	—
708	C₂³×C₄	—	4	4	no	—
709	C₂³×C₄	—	8	2	no	—
710	C₂³×C₄	#41	1	8	yes	—
711	C₂³×C₄	C₂⁴	1	2	yes	—
712	C₂³×C₄	C₂⁴	1	2	yes	—
713	C₂³×C₄	C₂⁴	1	2	yes	—
714	C₂³×C₄	C₂⁴	1	1	yes	characteristic
715	C₂³×C₄	C₂⁴	1	1	yes	characteristic
716	C₂³×C₄	C₂⁴	1	2	yes	—
717	C₂³×C₄	C₂⁴	1	4	yes	—
718	C₂³×C₄	C₂⁴	1	4	yes	—
719	C₂³×C₄	C₂⁴	1	2	yes	—
720	C₂³×C₄	C₂⁴	1	4	yes	—
721	C₂³×C₄	C₂⁴	1	2	yes	—
722	C₂³×C₄	C₂⁴	1	4	yes	—
723	C₂³×C₄	C₂⁴	1	4	yes	—
724	C₂³×C₄	C₂⁴	1	1	yes	characteristic
725	C₂³×C₄	C₂⁴	1	1	yes	characteristic
726	C₂³×C₄	C₂⁴	1	1	yes	characteristic
727	C₂³×C₄	C₂⁴	1	1	yes	characteristic
728	C₂³×C₄	C₂⁴	1	1	yes	characteristic
729	C₂³×C₄	C₂⁴	1	1	yes	characteristic
730	C₄⋊Q₈	—	8	2	no	—
731	#126	—	4	8	no	—
732	#126	—	4	8	no	—
733	#126	—	4	8	no	—
734	#126	—	4	8	no	—
735	#125	—	4	8	no	—
736	#125	—	8	2	no	—
737	#124	—	4	8	no	—
738	#124	—	4	8	no	—
739	#124	—	4	8	no	—
740	#124	—	8	4	no	—
741	#123	—	2	8	no	—
742	#123	—	2	16	no	—
743	#123	—	4	8	no	—
744	#123	—	4	8	no	—
745	#123	—	4	8	no	—
746	#123	—	4	8	no	—
747	#123	—	4	8	no	—
748	#123	—	4	8	no	—
749	#123	—	8	4	no	—
750	C₂²⋊Q₈	—	2	4	no	—
751	C₂²⋊Q₈	—	2	4	no	—
752	C₂²⋊Q₈	—	2	16	no	—
753	C₂²⋊Q₈	—	4	8	no	—
754	#121	—	2	8	no	—
755	#121	—	2	8	no	—
756	#121	—	2	8	no	—
757	#121	—	2	8	no	—
758	#121	—	2	4	no	—
759	#121	—	2	4	no	—
760	#121	—	4	8	no	—
761	#121	—	4	8	no	—
762	#121	—	4	8	no	—
763	#121	—	4	8	no	—
764	#121	—	8	4	no	—
765	#121	—	8	4	no	—
766	#121	—	8	4	no	—
767	#120	—	2	8	no	—
768	#120	—	2	16	no	—
769	#120	—	4	8	no	—
770	#120	—	4	8	no	—
771	#120	—	4	8	no	—
772	#120	—	4	4	no	—
773	#120	—	4	8	no	—
774	#120	—	4	4	no	—
775	#120	—	4	8	no	—
776	#120	—	8	4	no	—
777	C₄×Q₈	—	4	8	no	—
778	C₄×Q₈	—	8	2	no	—
779	C₄×D₄	—	2	8	no	—
780	C₄×D₄	—	2	8	no	—
781	C₄×D₄	—	2	16	no	—
782	C₄×D₄	—	4	8	no	—
783	C₄×D₄	—	4	8	no	—
784	C₄×D₄	—	4	8	no	—
785	C₄×D₄	—	4	8	no	—
786	C₄×D₄	—	8	2	no	—
787	C₄×D₄	—	8	4	no	—
788	#117	—	2	4	no	—
789	#117	—	4	8	no	—
790	#117	—	4	8	no	—
791	#117	—	8	2	no	—
792	C₂×C₄⋊C₄	—	2	4	no	—
793	C₂×C₄⋊C₄	—	4	4	no	—
794	C₂×C₄⋊C₄	—	4	4	no	—
795	C₂×C₄⋊C₄	—	8	2	no	—
796	C₂×C₄⋊C₄	—	8	2	no	—
797	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
800	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
801	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
802	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
803	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
806	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
807	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
810	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
812	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
814	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
816	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
817	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
818	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
819	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
830	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊C₄	—	2	8	no	—
834	C₂×C₂²⋊C₄	—	2	8	no	—
835	C₂×C₂²⋊C₄	—	2	4	no	—
836	C₂×C₂²⋊C₄	—	2	4	no	—
837	C₂×C₂²⋊C₄	—	2	4	no	—
838	C₂×C₂²⋊C₄	—	2	4	no	—
839	C₂×C₂²⋊C₄	—	2	8	no	—
840	C₂×C₂²⋊C₄	—	2	8	no	—
841	C₂×C₂²⋊C₄	—	2	8	no	—
842	C₂×C₂²⋊C₄	—	2	8	no	—
843	C₂×C₂²⋊C₄	—	4	4	no	—
844	C₂×C₂²⋊C₄	—	4	4	no	—
845	C₂×C₂²⋊C₄	—	4	4	no	—
846	C₂×C₂²⋊C₄	—	4	4	no	—
847	C₂×C₂²⋊C₄	—	4	4	no	—
848	C₂×C₂²⋊C₄	—	4	8	no	—
849	C₂×C₂²⋊C₄	—	4	4	no	—
850	C₂×C₂²⋊C₄	—	4	8	no	—
851	C₂×C₂²⋊C₄	—	8	4	no	—
852	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
894	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
895	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
898	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
899	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
901	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
902	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
903	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
904	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
905	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
906	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
907	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
908	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
909	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
910	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
911	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
912	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
913	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
914	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
915	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
916	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
917	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
918	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
919	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
920	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
921	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
922	C₂×C₄²	—	4	8	no	—
923	C₂×C₄²	—	8	2	no	—
924	C₂×C₄²	C₂⁴	1	2	yes	—
925	C₂×C₄²	C₂⁴	1	4	yes	—
926	C₂×C₄²	C₂⁴	1	4	yes	—
927	C₂×C₄²	C₂⁴	1	4	yes	—
928	C₂×C₄²	C₂⁴	1	4	yes	—
929	C₂×C₄²	C₂⁴	1	4	yes	—
930	C₂×C₄²	C₂⁴	1	4	yes	—
931	C₂×C₄²	C₂⁴	1	4	yes	—
932	C₂×C₄²	C₂⁴	1	2	yes	—
933	C₂×C₄²	C₂⁴	1	4	yes	—
934	C₂×C₄²	C₂⁴	1	2	yes	—
935	C₂×C₄²	C₂⁴	1	4	yes	—
936	C₂×C₄²	C₂⁴	1	2	yes	—
937	C₂×C₄²	C₂⁴	1	4	yes	—
938	C₂×C₄²	C₂⁴	1	2	yes	—
939	#95	C₂⁴	1	1	yes	characteristic
940	#95	C₂⁴	1	2	yes	—
941	#95	C₂⁴	1	1	yes	characteristic
942	#95	C₂⁴	1	1	yes	characteristic
943	#95	C₂⁴	1	4	yes	—
944	#95	C₂⁴	1	4	yes	—
945	#95	C₂⁴	1	1	yes	characteristic
946	#95	C₂⁴	1	2	yes	—
947	#95	C₂⁴	1	4	yes	—
948	#95	C₂⁴	1	4	yes	—
949	#95	C₂⁴	1	2	yes	—
950	#95	C₂⁴	1	2	yes	—
951	#95	C₂⁴	1	4	yes	—
952	#95	C₂⁴	1	2	yes	—
953	#95	C₂⁴	1	4	yes	—
954	#95	C₂⁴	1	2	yes	—
955	#95	C₂⁴	1	4	yes	—
956	#95	C₂⁴	1	4	yes	—
957	#95	C₂⁴	1	2	yes	—
958	#95	C₂⁴	1	4	yes	—
959	#95	C₂⁴	1	2	yes	—
960	#95	C₂⁴	1	4	yes	—
961	#95	C₂⁴	1	4	yes	—
962	#95	C₂⁴	1	4	yes	—
963	#95	C₂⁴	1	4	yes	—
964	#95	C₂⁴	1	4	yes	—
965	#95	C₂⁴	1	4	yes	—
966	#95	C₂⁴	1	4	yes	—
967	#95	C₂⁴	1	4	yes	—
968	#95	C₂⁴	1	4	yes	—
969	#95	C₂⁴	1	4	yes	—
970	#95	C₂⁴	1	4	yes	—
971	#95	C₂⁴	1	4	yes	—
972	#95	C₂⁴	1	4	yes	—
973	#95	C₂⁴	1	4	yes	—
974	#95	C₂⁴	1	4	yes	—
975	#95	C₂⁴	1	4	yes	—
976	#95	C₂⁴	1	4	yes	—
977	#95	C₂⁴	1	4	yes	—
978	#95	C₂⁴	1	4	yes	—
979	#95	C₂⁴	1	4	yes	—
980	#95	C₂⁴	1	4	yes	—
981	#95	C₂⁴	1	4	yes	—
982	C₂⁴	—	2	4	no	—
983	C₂⁴	—	2	2	no	—
984	C₂⁴	—	2	2	no	—
985	C₂⁴	—	2	4	no	—
986	C₂⁴	—	2	2	no	—
987	C₂⁴	—	2	2	no	—
988	C₂⁴	—	2	4	no	—
989	C₂⁴	—	2	2	no	—
990	C₂⁴	—	2	2	no	—
991	C₂⁴	—	2	4	no	—
992	C₂⁴	—	2	8	no	—
993	C₂⁴	—	2	4	no	—
994	C₂⁴	—	2	4	no	—
995	C₂⁴	—	2	2	no	—
996	C₂⁴	—	2	2	no	—
997	C₂⁴	—	4	2	no	—
998	C₂⁴	—	4	2	no	—
999	C₂⁴	—	4	2	no	—
1000	C₂⁴	—	4	4	no	—
1001	C₂⁴	—	4	2	no	—
1002	C₂⁴	—	4	2	no	—
1003	C₂⁴	—	4	2	no	—
1004	C₂⁴	—	4	2	no	—
1005	C₂⁴	—	4	2	no	—
1006	C₂⁴	—	4	2	no	—
1007	C₂⁴	—	4	2	no	—
1008	C₂⁴	—	4	4	no	—
1009	C₂⁴	—	4	4	no	—
1010	C₂⁴	—	4	2	no	—
1011	C₂⁴	—	4	2	no	—
1012	C₂⁴	—	4	2	no	—
1013	C₂⁴	—	4	16	no	—
1014	C₂⁴	—	8	8	no	—
1015	C₂⁴	—	8	8	no	—
1016	C₂⁴	—	8	16	no	—
1017	C₂⁴	—	8	16	no	—
1018	C₂⁴	C₂×#41	1	4	yes	—
1019	C₂⁴	C₂⁵	1	2	yes	—
1020	C₂⁴	C₂⁵	1	2	yes	—
1021	C₂⁴	C₂⁵	1	4	yes	—
1022	C₂⁴	C₂⁵	1	2	yes	—
1023	C₂⁴	C₂⁵	1	1	yes	characteristic
1024	C₂⁴	C₂⁵	1	1	yes	characteristic
1025	C₂⁴	C₂⁵	1	1	yes	characteristic
1026	#41	—	8	8	no	—
1027	C₂×Q₈	—	2	2	no	—
1028	C₂×Q₈	—	2	8	no	—
1029	C₂×Q₈	—	4	2	no	—
1030	C₂×Q₈	—	4	4	no	—
1031	C₂×Q₈	—	4	4	no	—
1032	C₂×D₄	—	2	4	no	—
1033	C₂×D₄	—	2	4	no	—
1034	C₂×D₄	—	2	8	no	—
1035	C₂×D₄	—	2	8	no	—
1036	C₂×D₄	—	2	8	no	—
1037	C₂×D₄	—	2	8	no	—
1038	C₂×D₄	—	2	4	no	—
1039	C₂×D₄	—	2	4	no	—
1040	C₂×D₄	—	2	4	no	—
1041	C₂×D₄	—	2	8	no	—
1042	C₂×D₄	—	2	4	no	—
1043	C₂×D₄	—	2	2	no	—
1044	C₂×D₄	—	2	4	no	—
1045	C₂×D₄	—	2	8	no	—
1046	C₂×D₄	—	2	8	no	—
1047	C₂×D₄	—	4	4	no	—
1048	C₂×D₄	—	4	2	no	—
1049	C₂×D₄	—	4	4	no	—
1050	C₂×D₄	—	4	4	no	—
1051	C₂×D₄	—	4	4	no	—
1052	C₂×D₄	—	4	4	no	—
1053	C₂×D₄	—	4	4	no	—
1054	C₂×D₄	—	4	4	no	—
1055	C₂×D₄	—	4	4	no	—
1056	C₂×D₄	—	4	4	no	—
1057	C₂×D₄	—	4	4	no	—
1058	C₂×D₄	—	4	4	no	—
1059	C₂×D₄	—	4	4	no	—
1060	C₂×D₄	—	4	4	no	—
1061	C₂×D₄	—	4	4	no	—
1062	C₂×D₄	—	4	4	no	—
1063	C₂×D₄	—	4	4	no	—
1064	C₂×D₄	—	4	4	no	—
1065	C₂×D₄	—	4	4	no	—
1066	C₂×D₄	—	4	4	no	—
1067	C₂×D₄	—	4	4	no	—
1068	C₂×D₄	—	4	4	no	—
1069	C₂×D₄	—	4	4	no	—
1070	C₂×D₄	—	4	4	no	—
1071	C₂×D₄	—	4	4	no	—
1072	C₂×D₄	—	4	4	no	—
1073	C₂×D₄	—	4	4	no	—
1074	C₂×D₄	—	4	4	no	—
1075	C₂×D₄	—	8	8	no	—
1076	C₂×D₄	—	8	16	no	—
1077	C₂×D₄	—	8	16	no	—
1078	C₂×D₄	—	8	16	no	—
1079	C₂²×C₄	—	2	4	no	—
1080	C₂²×C₄	—	2	8	no	—
1081	C₂²×C₄	—	2	4	no	—
1082	C₂²×C₄	—	2	4	no	—
1083	C₂²×C₄	—	2	4	no	—
1084	C₂²×C₄	—	2	2	no	—
1085	C₂²×C₄	—	2	2	no	—
1086	C₂²×C₄	—	2	4	no	—
1087	C₂²×C₄	—	2	8	no	—
1088	C₂²×C₄	—	2	8	no	—
1089	C₂²×C₄	—	2	4	no	—
1090	C₂²×C₄	—	2	4	no	—
1091	C₂²×C₄	—	2	4	no	—
1092	C₂²×C₄	—	2	8	no	—
1093	C₂²×C₄	—	4	2	no	—
1094	C₂²×C₄	—	4	2	no	—
1095	C₂²×C₄	—	4	2	no	—
1096	C₂²×C₄	—	4	2	no	—
1097	C₂²×C₄	—	4	2	no	—
1098	C₂²×C₄	—	4	2	no	—
1099	C₂²×C₄	—	4	2	no	—
1100	C₂²×C₄	—	4	2	no	—
1101	C₂²×C₄	—	4	2	no	—
1102	C₂²×C₄	—	4	2	no	—
1103	C₂²×C₄	—	4	2	no	—
1104	C₂²×C₄	—	4	4	no	—
1105	C₂²×C₄	—	4	4	no	—
1106	C₂²×C₄	—	4	4	no	—
1107	C₂²×C₄	—	4	4	no	—
1108	C₂²×C₄	—	4	4	no	—
1109	C₂²×C₄	—	4	2	no	—
1110	C₂²×C₄	—	4	4	no	—
1111	C₂²×C₄	—	4	4	no	—
1112	C₂²×C₄	—	4	4	no	—
1113	C₂²×C₄	—	4	4	no	—
1114	C₂²×C₄	—	4	4	no	—
1115	C₂²×C₄	—	4	4	no	—
1116	C₂²×C₄	—	4	4	no	—
1117	C₂²×C₄	—	4	4	no	—
1118	C₂²×C₄	—	4	4	no	—
1119	C₂²×C₄	—	8	8	no	—
1120	C₂²×C₄	—	8	8	no	—
1121	C₂²×C₄	C₂×#41	1	4	yes	—
1122	C₂²×C₄	C₂×#41	1	4	yes	—
1123	C₂²×C₄	C₂×#41	1	4	yes	—
1124	C₂²×C₄	C₂×#41	1	4	yes	—
1125	C₂²×C₄	C₂×#41	1	4	yes	—
1126	C₂²×C₄	C₂×#41	1	4	yes	—
1127	C₂²×C₄	C₂⁵	1	2	yes	—
1128	C₂²×C₄	C₂⁵	1	2	yes	—
1129	C₂²×C₄	C₂⁵	1	4	yes	—
1130	C₂²×C₄	C₂⁵	1	4	yes	—
1131	C₂²×C₄	C₂⁵	1	2	yes	—
1132	C₂²×C₄	C₂⁵	1	2	yes	—
1133	C₂²×C₄	C₂⁵	1	4	yes	—
1134	C₂²×C₄	C₂⁵	1	4	yes	—
1135	C₂²×C₄	C₂⁵	1	2	yes	—
1136	C₂²×C₄	C₂⁵	1	2	yes	—
1137	C₂²×C₄	C₂⁵	1	4	yes	—
1138	C₂²×C₄	C₂⁵	1	4	yes	—
1139	C₂²×C₄	C₂⁵	1	4	yes	—
1140	C₂²×C₄	C₂⁵	1	2	yes	—
1141	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1142	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1143	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1144	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1145	C₂²×C₄	C₂⁵	1	2	yes	—
1146	C₂²×C₄	C₂⁵	1	2	yes	—
1147	C₄⋊C₄	—	2	4	no	—
1148	C₄⋊C₄	—	2	4	no	—
1149	C₄⋊C₄	—	2	2	no	—
1150	C₄⋊C₄	—	2	2	no	—
1151	C₄⋊C₄	—	2	4	no	—
1152	C₄⋊C₄	—	2	4	no	—
1153	C₄⋊C₄	—	2	8	no	—
1154	C₄⋊C₄	—	2	8	no	—
1155	C₄⋊C₄	—	2	8	no	—
1156	C₄⋊C₄	—	2	8	no	—
1157	C₄⋊C₄	—	2	8	no	—
1158	C₄⋊C₄	—	2	8	no	—
1159	C₄⋊C₄	—	4	4	no	—
1160	C₄⋊C₄	—	4	4	no	—
1161	C₄⋊C₄	—	4	4	no	—
1162	C₄⋊C₄	—	4	2	no	—
1163	C₄⋊C₄	—	4	2	no	—
1164	C₄⋊C₄	—	4	4	no	—
1165	C₄⋊C₄	—	4	2	no	—
1166	C₄⋊C₄	—	4	2	no	—
1167	C₄⋊C₄	—	4	4	no	—
1168	C₄⋊C₄	—	4	2	no	—
1169	C₄⋊C₄	—	4	2	no	—
1170	C₄⋊C₄	—	4	4	no	—
1171	C₄⋊C₄	—	4	4	no	—
1172	C₄⋊C₄	—	4	4	no	—
1173	C₄⋊C₄	—	4	4	no	—
1174	C₄⋊C₄	—	4	4	no	—
1175	C₄⋊C₄	—	4	4	no	—
1176	C₄⋊C₄	—	4	4	no	—
1177	C₄⋊C₄	—	4	4	no	—
1178	C₄⋊C₄	—	4	4	no	—
1179	C₄⋊C₄	—	4	4	no	—
1180	C₄⋊C₄	—	4	4	no	—
1181	C₄⋊C₄	—	4	4	no	—
1182	C₄⋊C₄	—	4	4	no	—
1183	C₂²⋊C₄	—	2	4	no	—
1184	C₂²⋊C₄	—	2	4	no	—
1185	C₂²⋊C₄	—	2	4	no	—
1186	C₂²⋊C₄	—	2	4	no	—
1187	C₂²⋊C₄	—	2	8	no	—
1188	C₂²⋊C₄	—	2	8	no	—
1189	C₂²⋊C₄	—	2	4	no	—
1190	C₂²⋊C₄	—	2	8	no	—
1191	C₂²⋊C₄	—	2	4	no	—
1192	C₂²⋊C₄	—	2	4	no	—
1193	C₂²⋊C₄	—	2	4	no	—
1194	C₂²⋊C₄	—	2	4	no	—
1195	C₂²⋊C₄	—	2	4	no	—
1196	C₂²⋊C₄	—	2	4	no	—
1197	C₂²⋊C₄	—	2	4	no	—
1198	C₂²⋊C₄	—	2	4	no	—
1199	C₂²⋊C₄	—	2	4	no	—
1200	C₂²⋊C₄	—	2	8	no	—
1201	C₂²⋊C₄	—	2	8	no	—
1202	C₂²⋊C₄	—	2	4	no	—
1203	C₂²⋊C₄	—	2	4	no	—
1204	C₂²⋊C₄	—	2	4	no	—
1205	C₂²⋊C₄	—	2	4	no	—
1206	C₂²⋊C₄	—	2	8	no	—
1207	C₂²⋊C₄	—	2	8	no	—
1208	C₂²⋊C₄	—	2	8	no	—
1209	C₂²⋊C₄	—	2	8	no	—
1210	C₂²⋊C₄	—	2	8	no	—
1211	C₂²⋊C₄	—	4	2	no	—
1212	C₂²⋊C₄	—	4	4	no	—
1213	C₂²⋊C₄	—	4	4	no	—
1214	C₂²⋊C₄	—	4	2	no	—
1215	C₂²⋊C₄	—	4	2	no	—
1216	C₂²⋊C₄	—	4	2	no	—
1217	C₂²⋊C₄	—	4	4	no	—
1218	C₂²⋊C₄	—	4	4	no	—
1219	C₂²⋊C₄	—	4	4	no	—
1220	C₂²⋊C₄	—	4	4	no	—
1221	C₂²⋊C₄	—	4	4	no	—
1222	C₂²⋊C₄	—	4	4	no	—
1223	C₂²⋊C₄	—	4	4	no	—
1224	C₂²⋊C₄	—	4	4	no	—
1225	C₂²⋊C₄	—	4	4	no	—
1226	C₂²⋊C₄	—	4	4	no	—
1227	C₂²⋊C₄	—	4	4	no	—
1228	C₂²⋊C₄	—	4	4	no	—
1229	C₂²⋊C₄	—	4	4	no	—
1230	C₂²⋊C₄	—	4	4	no	—
1231	C₂²⋊C₄	—	4	4	no	—
1232	C₂²⋊C₄	—	4	4	no	—
1233	C₂²⋊C₄	—	4	4	no	—
1234	C₂²⋊C₄	—	4	4	no	—
1235	C₂²⋊C₄	—	4	4	no	—
1236	C₂²⋊C₄	—	4	4	no	—
1237	C₂²⋊C₄	—	4	4	no	—
1238	C₂²⋊C₄	—	4	4	no	—
1239	C₂²⋊C₄	—	4	4	no	—
1240	C₂²⋊C₄	—	4	4	no	—
1241	C₂²⋊C₄	—	4	4	no	—
1242	C₂²⋊C₄	—	4	4	no	—
1243	C₂²⋊C₄	—	4	4	no	—
1244	C₂²⋊C₄	—	4	4	no	—
1245	C₂²⋊C₄	—	4	4	no	—
1246	C₂²⋊C₄	—	4	4	no	—
1247	C₂²⋊C₄	—	4	4	no	—
1248	C₂²⋊C₄	—	4	4	no	—
1249	C₂²⋊C₄	—	4	4	no	—
1250	C₂²⋊C₄	—	4	4	no	—
1251	C₂²⋊C₄	—	4	4	no	—
1252	C₂²⋊C₄	H(5,𝔽₂)	1	8	yes	—
1253	C₄²	—	2	4	no	—
1254	C₄²	—	2	8	no	—
1255	C₄²	—	4	4	no	—
1256	C₄²	—	4	4	no	—
1257	C₄²	—	4	4	no	—
1258	C₄²	—	4	4	no	—
1259	C₄²	—	4	2	no	—
1260	C₄²	—	4	2	no	—
1261	C₄²	—	4	2	no	—
1262	C₄²	—	4	2	no	—
1263	C₄²	—	4	4	no	—
1264	C₄²	—	4	4	no	—
1265	C₄²	—	4	4	no	—
1266	C₄²	—	4	4	no	—
1267	C₄²	—	4	4	no	—
1268	C₂³	—	2	2	no	—
1269	C₂³	—	2	1	no	—
1270	C₂³	—	2	1	no	—
1271	C₂³	—	2	2	no	—
1272	C₂³	—	2	2	no	—
1273	C₂³	—	2	2	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	2	no	—
1277	C₂³	—	2	8	no	—
1278	C₂³	—	2	8	no	—
1279	C₂³	—	2	2	no	—
1280	C₂³	—	2	2	no	—
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	4	no	—
1283	C₂³	—	2	4	no	—
1284	C₂³	—	2	4	no	—
1285	C₂³	—	2	4	no	—
1286	C₂³	—	2	4	no	—
1287	C₂³	—	2	4	no	—
1288	C₂³	—	2	2	no	—
1289	C₂³	—	2	4	no	—
1290	C₂³	—	2	4	no	—
1291	C₂³	—	2	2	no	—
1292	C₂³	—	2	2	no	—
1293	C₂³	—	2	2	no	—
1294	C₂³	—	2	2	no	—
1295	C₂³	—	2	2	no	—
1296	C₂³	—	2	4	no	—
1297	C₂³	—	2	4	no	—
1298	C₂³	—	2	4	no	—
1299	C₂³	—	2	4	no	—
1300	C₂³	—	2	4	no	—
1301	C₂³	—	4	4	no	—
1302	C₂³	—	4	8	no	—
1303	C₂³	—	4	8	no	—
1304	C₂³	—	4	8	no	—
1305	C₂³	—	4	8	no	—
1306	C₂³	—	4	8	no	—
1307	C₂³	—	4	8	no	—
1308	C₂³	—	4	8	no	—
1309	C₂³	—	4	4	no	—
1310	C₂³	—	4	4	no	—
1311	C₂³	—	4	8	no	—
1312	C₂³	—	4	8	no	—
1313	C₂³	—	8	2	no	—
1314	C₂³	—	8	2	no	—
1315	C₂³	—	8	2	no	—
1316	C₂³	—	8	2	no	—
1317	C₂³	—	8	4	no	—
1318	C₂³	—	8	4	no	—
1319	C₂³	—	8	8	no	—
1320	C₂³	—	8	8	no	—
1321	C₂³	—	8	4	no	—
1322	C₂³	—	8	4	no	—
1323	C₂³	—	8	4	no	—
1324	C₂³	—	8	4	no	—
1325	C₂³	—	8	4	no	—
1326	C₂³	—	8	4	no	—
1327	C₂³	—	8	4	no	—
1328	C₂³	—	8	4	no	—
1329	C₂³	—	8	8	no	—
1330	C₂³	—	8	8	no	—
1331	C₂³	—	8	64	no	—
1332	C₂³	C₂²×#41	1	2	yes	—
1333	C₂³	C₂²×#41	1	2	yes	—
1334	C₂³	C₂²×#41	1	2	yes	—
1335	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1336	C₂³	#585	1	2	yes	—
1337	C₂³	#585	1	2	yes	—
1338	C₂³	C₂⁶	1	1	yes	characteristic
1339	Q₈	—	4	4	no	—
1340	Q₈	—	8	8	no	—
1341	D₄	—	4	8	no	—
1342	D₄	—	4	4	no	—
1343	D₄	—	4	8	no	—
1344	D₄	—	4	8	no	—
1345	D₄	—	4	16	no	—
1346	D₄	—	8	4	no	—
1347	D₄	—	8	8	no	—
1348	D₄	—	8	8	no	—
1349	D₄	—	8	8	no	—
1350	D₄	—	8	4	no	—
1351	D₄	—	8	8	no	—
1352	D₄	—	8	8	no	—
1353	D₄	—	8	8	no	—
1354	D₄	—	16	4	no	—
1355	D₄	—	16	4	no	—
1356	D₄	—	16	4	no	—
1357	C₂×C₄	—	2	2	no	—
1358	C₂×C₄	—	2	2	no	—
1359	C₂×C₄	—	2	2	no	—
1360	C₂×C₄	—	2	2	no	—
1361	C₂×C₄	—	2	2	no	—
1362	C₂×C₄	—	2	2	no	—
1363	C₂×C₄	—	2	2	no	—
1364	C₂×C₄	—	2	2	no	—
1365	C₂×C₄	—	2	2	no	—
1366	C₂×C₄	—	2	2	no	—
1367	C₂×C₄	—	2	2	no	—
1368	C₂×C₄	—	2	2	no	—
1369	C₂×C₄	—	2	4	no	—
1370	C₂×C₄	—	2	2	no	—
1371	C₂×C₄	—	2	4	no	—
1372	C₂×C₄	—	2	4	no	—
1373	C₂×C₄	—	2	4	no	—
1374	C₂×C₄	—	2	4	no	—
1375	C₂×C₄	—	2	4	no	—
1376	C₂×C₄	—	2	4	no	—
1377	C₂×C₄	—	2	4	no	—
1378	C₂×C₄	—	2	4	no	—
1379	C₂×C₄	—	2	4	no	—
1380	C₂×C₄	—	2	4	no	—
1381	C₂×C₄	—	2	2	no	—
1382	C₂×C₄	—	2	2	no	—
1383	C₂×C₄	—	2	4	no	—
1384	C₂×C₄	—	2	2	no	—
1385	C₂×C₄	—	2	4	no	—
1386	C₂×C₄	—	2	4	no	—
1387	C₂×C₄	—	2	4	no	—
1388	C₂×C₄	—	2	4	no	—
1389	C₂×C₄	—	2	4	no	—
1390	C₂×C₄	—	2	4	no	—
1391	C₂×C₄	—	2	2	no	—
1392	C₂×C₄	—	2	2	no	—
1393	C₂×C₄	—	2	2	no	—
1394	C₂×C₄	—	2	2	no	—
1395	C₂×C₄	—	2	2	no	—
1396	C₂×C₄	—	2	4	no	—
1397	C₂×C₄	—	2	4	no	—
1398	C₂×C₄	—	2	4	no	—
1399	C₂×C₄	—	2	4	no	—
1400	C₂×C₄	—	2	4	no	—
1401	C₂×C₄	—	2	4	no	—
1402	C₂×C₄	—	2	4	no	—
1403	C₂×C₄	—	4	4	no	—
1404	C₂×C₄	—	4	4	no	—
1405	C₂×C₄	—	4	4	no	—
1406	C₂×C₄	—	4	4	no	—
1407	C₂×C₄	—	4	4	no	—
1408	C₂×C₄	—	4	4	no	—
1409	C₂×C₄	—	4	8	no	—
1410	C₂×C₄	—	4	8	no	—
1411	C₂×C₄	—	4	8	no	—
1412	C₂×C₄	—	8	8	no	—
1413	C₂×C₄	—	8	4	no	—
1414	C₂×C₄	—	8	8	no	—
1415	C₂×C₄	—	8	8	no	—
1416	C₂×C₄	—	8	2	no	—
1417	C₂×C₄	—	8	2	no	—
1418	C₂×C₄	—	8	4	no	—
1419	C₂×C₄	—	8	4	no	—
1420	C₂×C₄	—	8	8	no	—
1421	C₂×C₄	—	16	4	no	—
1422	C₂×C₄	C₂²×#41	1	2	yes	—
1423	C₂×C₄	C₂²×#41	1	2	yes	—
1424	C₂×C₄	C₂²×#41	1	2	yes	—
1425	C₂×C₄	C₂²×#41	1	2	yes	—
1426	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1427	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1428	C₂²	—	2	2	no	—
1429	C₂²	—	2	2	no	—
1430	C₂²	—	2	2	no	—
1431	C₂²	—	2	2	no	—
1432	C₂²	—	2	4	no	—
1433	C₂²	—	2	4	no	—
1434	C₂²	—	2	4	no	—
1435	C₂²	—	2	4	no	—
1436	C₂²	—	2	2	no	—
1437	C₂²	—	2	2	no	—
1438	C₂²	—	2	2	no	—
1439	C₂²	—	4	16	no	—
1440	C₂²	—	4	2	no	—
1441	C₂²	—	4	2	no	—
1442	C₂²	—	4	2	no	—
1443	C₂²	—	4	4	no	—
1444	C₂²	—	4	2	no	—
1445	C₂²	—	4	2	no	—
1446	C₂²	—	4	4	no	—
1447	C₂²	—	4	2	no	—
1448	C₂²	—	4	2	no	—
1449	C₂²	—	4	2	no	—
1450	C₂²	—	4	2	no	—
1451	C₂²	—	4	4	no	—
1452	C₂²	—	4	2	no	—
1453	C₂²	—	4	2	no	—
1454	C₂²	—	4	4	no	—
1455	C₂²	—	4	4	no	—
1456	C₂²	—	4	4	no	—
1457	C₂²	—	4	4	no	—
1458	C₂²	—	4	4	no	—
1459	C₂²	—	4	4	no	—
1460	C₂²	—	4	4	no	—
1461	C₂²	—	4	4	no	—
1462	C₂²	—	4	4	no	—
1463	C₂²	—	4	4	no	—
1464	C₂²	—	8	8	no	—
1465	C₂²	—	8	8	no	—
1466	C₂²	—	8	16	no	—
1467	C₂²	—	8	16	no	—
1468	C₂²	—	16	8	no	—
1469	C₂²	#3493	1	4	yes	—
1470	C₂²	#3508	1	4	yes	—
1471	C₂²	C₂³×#41	1	1	yes	characteristic
1472	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1473	C₂²	C₂×#585	1	1	yes	characteristic
1474	C₂²	C₂×#585	1	1	yes	characteristic
1475	C₂²	H(7,𝔽₂)	1	2	yes	—
1476	C₄	—	2	2	no	—
1477	C₄	—	2	2	no	—
1478	C₄	—	2	2	no	—
1479	C₄	—	2	2	no	—
1480	C₄	—	2	4	no	—
1481	C₄	—	2	4	no	—
1482	C₄	—	4	2	no	—
1483	C₄	—	4	2	no	—
1484	C₄	—	4	2	no	—
1485	C₄	—	4	4	no	—
1486	C₄	—	4	2	no	—
1487	C₄	—	4	2	no	—
1488	C₄	—	4	2	no	—
1489	C₄	—	4	2	no	—
1490	C₄	—	4	4	no	—
1491	C₄	—	4	4	no	—
1492	C₄	—	4	4	no	—
1493	C₄	—	4	4	no	—
1494	C₄	—	4	4	no	—
1495	C₄	—	4	4	no	—
1496	C₂	—	2	4	no	—
1497	C₂	—	2	4	no	—
1498	C₂	—	4	2	no	—
1499	C₂	—	8	2	no	—
1500	C₂	—	8	2	no	—
1501	C₂	—	8	2	no	—
1502	C₂	—	8	4	no	—
1503	C₂	C₂×#3493	1	1	yes	characteristic
1504	C₂	C₂×#3508	1	1	yes	characteristic
1505	C₂	#62844	1	1	yes	characteristic
1506	C₂	#62896	1	2	yes	—
1507	C₂	#62896	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #50188	C₂	semidirect
2. #50187	C₂	semidirect
3. #49598	C₂	semidirect
4. #49595	C₂	semidirect
5. #47236	C₂	semidirect
6. #46469	C₂	semidirect
7. #44102	C₂	semidirect
8. #44081	C₂	semidirect
9. #43964	C₂	semidirect
10. #43963	C₂	semidirect
11. #39548	C₂	semidirect
12. #39540	C₂	semidirect
13. #39511	C₂	semidirect
14. #39503	C₂	semidirect
15. #39267	C₂	semidirect
16. #37770	C₂	semidirect
17. #37660	C₂	semidirect
18. #37439	C₂	semidirect
19. #36987	C₂	semidirect
20. #36109	C₂	semidirect
21. #35465	C₂	semidirect
22. #35079	C₂	semidirect
23. #35050	C₂	semidirect
24. C₂×#2539	C₂	semidirect
25. #34379	C₂	semidirect
26. #34233	C₂	semidirect
27. C₂×#2312	C₂	semidirect
28. C₂×#538	C₂²	semidirect
29. C₂×#529	C₂²	semidirect
35. #2857	C₂²	semidirect
36. #2854	C₂²	semidirect
37. #2853	C₂²	semidirect
38. #2851	C₂²	semidirect
41. #2813	C₂²	semidirect
42. #2813	C₂²	semidirect
43. #2808	C₂²	semidirect
44. #2808	C₂²	semidirect
45. #2803	C₂²	semidirect
46. #2803	C₂²	semidirect
47. #2803	C₂²	semidirect
48. #2803	C₂²	semidirect
49. #2800	C₂²	semidirect
50. #2800	C₂²	semidirect
51. #2798	C₂²	semidirect
52. #2796	C₂²	semidirect
53. #2777	C₂²	semidirect
54. #2773	C₂²	semidirect
55. #2773	C₂²	semidirect
56. #2761	C₂²	semidirect
57. #2756	C₂²	semidirect
58. #2753	C₂²	semidirect
59. #2753	C₂²	semidirect
60. #2751	C₂²	semidirect
61. #2741	C₂²	semidirect
62. #2740	C₂²	semidirect
63. #2733	C₂²	semidirect
64. #2733	C₂²	semidirect
65. #2727	C₂²	semidirect
66. #2727	C₂²	semidirect
67. #2714	C₂²	semidirect
68. #2714	C₂²	semidirect
69. #2711	C₂²	semidirect
70. #2707	C₂²	semidirect
71. #2703	C₂²	semidirect
72. #2699	C₂²	semidirect
73. #2697	C₂²	semidirect
74. #2694	C₂²	semidirect
75. #2694	C₂²	semidirect
76. #2685	C₂²	semidirect
77. #2685	C₂²	semidirect
78. #2684	C₂²	semidirect
79. #2678	C₂²	semidirect
80. #2678	C₂²	semidirect
81. #2670	C₂²	semidirect
82. #2668	C₂²	semidirect
83. #2667	C₂²	semidirect
84. #2665	C₂²	semidirect
85. #2656	C₂²	semidirect
86. #2639	C₂²	semidirect
89. #2626	C₂²	semidirect
90. #2624	C₂²	semidirect
91. #2622	C₂²	semidirect
94. #2617	C₂²	semidirect
95. #2617	C₂²	semidirect
96. #2615	C₂²	semidirect
97. #2610	C₂²	semidirect
98. #2604	C₂²	semidirect
99. #2602	C₂²	semidirect
100. #2602	C₂²	semidirect
101. #2601	C₂²	semidirect
102. #2597	C₂²	semidirect
103. #2596	C₂²	semidirect
104. #2596	C₂²	semidirect
105. #2592	C₂²	semidirect
106. #2569	C₂²	semidirect
107. #2561	C₂²	semidirect
108. #2559	C₂²	semidirect
109. #2558	C₂²	semidirect
110. #2558	C₂²	semidirect
111. #2557	C₂²	semidirect
112. #2555	C₂²	semidirect
113. #2554	C₂²	semidirect
114. #2554	C₂²	semidirect
115. #2553	C₂²	semidirect
116. #2549	C₂²	semidirect
117. #2545	C₂²	semidirect
118. #2543	C₂²	semidirect
125. #2539	C₂²	semidirect
126. #2534	C₂²	semidirect
127. #2521	C₂²	semidirect
128. #2519	C₂²	semidirect
129. #2513	C₂²	semidirect
130. #2512	C₂²	semidirect
131. #2500	C₂²	semidirect
132. #2498	C₂²	semidirect
133. #2491	C₂²	semidirect
134. #2488	C₂²	semidirect
135. #2487	C₂²	semidirect
136. #2482	C₂²	semidirect
137. #2481	C₂²	semidirect
140. #2480	C₂²	semidirect
141. #2479	C₂²	semidirect
142. #2479	C₂²	semidirect
143. #2473	C₂²	semidirect
145. #2472	C₂²	semidirect
146. #2472	C₂²	semidirect
147. #2471	C₂²	semidirect
148. #2470	C₂²	semidirect
149. #2459	C₂²	semidirect
150. #2458	C₂²	semidirect
151. #2458	C₂²	semidirect
152. #2457	C₂²	semidirect
153. #2456	C₂²	semidirect
154. #2456	C₂²	semidirect
155. #2448	C₂²	semidirect
156. #2448	C₂²	semidirect
157. #2442	C₂²	semidirect
158. #2441	C₂²	semidirect
159. #2440	C₂²	semidirect
160. #2439	C₂²	semidirect
163. #2425	C₂²	semidirect
164. #2425	C₂²	semidirect
165. #2424	C₂²	semidirect
166. #2424	C₂²	semidirect
167. #2419	C₂²	semidirect
169. #2418	C₂²	semidirect
170. #2416	C₂²	semidirect
171. #2414	C₂²	semidirect
172. #2414	C₂²	semidirect
173. #2411	C₂²	semidirect
177. #2408	C₂²	semidirect
179. #2404	C₂²	semidirect
184. #2377	C₂²	semidirect
185. #2377	C₂²	semidirect
186. #2361	C₂²	semidirect
187. #2361	C₂²	semidirect
188. #2360	C₂²	semidirect
189. #2360	C₂²	semidirect
191. #2358	C₂²	semidirect
192. #2353	C₂²	semidirect
193. #2352	C₂²	semidirect
194. #2349	C₂²	semidirect
195. #2347	C₂²	semidirect
196. #2346	C₂²	semidirect
197. #2345	C₂²	semidirect
198. #2342	C₂²	semidirect
199. #2341	C₂²	semidirect
200. #2339	C₂²	semidirect
202. D₄×C₂²⋊C₄	C₂²	semidirect
203. #2335	C₂²	semidirect
204. #2329	C₂²	semidirect
205. #2325	C₂²	semidirect
206. #2324	C₂²	semidirect
209. #2321	C₂²	semidirect
210. #2318	C₂²	semidirect
211. #2315	C₂²	semidirect
216. #2312	C₂²	semidirect
217. #2312	C₂²	semidirect
218. #2312	C₂²	semidirect
219. #2312	C₂²	semidirect
220. #2312	C₂²	semidirect
221. C₄×C₂²⋊Q₈	C₂²	semidirect
222. C₄×#123	C₂²	semidirect
223. C₄×#121	C₂²	semidirect
226. C₂×#388	C₂²	semidirect
227. C₂×#388	C₂²	semidirect
232. #2275	C₂²	semidirect
244. C₂×C₄⋊Q₈	C₂³	semidirect
248. C₂×#126	C₂³	semidirect
249. C₂×#126	C₂³	semidirect
250. C₂×#125	C₂³	semidirect
251. C₂×#125	C₂³	semidirect
255. C₂×#124	C₂³	semidirect
284. C₂×#121	C₂³	semidirect
296. C₂×C₄×Q₈	C₂³	semidirect
297. C₂×C₄×Q₈	C₂³	semidirect
304. C₂×C₄×D₄	C₂³	semidirect
305. C₂×C₄×D₄	C₂³	semidirect
306. C₂×C₄×D₄	C₂³	semidirect
309. C₂×#117	C₂³	semidirect
310. C₂×#117	C₂³	semidirect
338. #400	C₂³	semidirect
339. #400	C₂³	semidirect
340. #400	C₂³	semidirect
341. #400	C₂³	semidirect
342. #400	C₂³	semidirect
343. #400	C₂³	semidirect
354. #399	C₂³	semidirect
355. #399	C₂³	semidirect
356. #399	C₂³	semidirect
357. #398	C₂³	semidirect
358. #398	C₂³	semidirect
359. #398	C₂³	semidirect
360. #398	C₂³	semidirect
361. #398	C₂³	semidirect
372. #397	C₂³	semidirect
373. #397	C₂³	semidirect
374. #397	C₂³	semidirect
375. #397	C₂³	semidirect
376. #397	C₂³	semidirect
377. #397	C₂³	semidirect
384. #396	C₂³	semidirect
385. #396	C₂³	semidirect
386. #396	C₂³	semidirect
387. #396	C₂³	semidirect
388. #395	C₂³	semidirect
409. #394	C₂³	semidirect
410. #394	C₂³	semidirect
411. #394	C₂³	semidirect
412. #394	C₂³	semidirect
413. #394	C₂³	semidirect
414. #394	C₂³	semidirect
419. #393	C₂³	semidirect
420. #393	C₂³	semidirect
435. #392	C₂³	semidirect
436. #392	C₂³	semidirect
437. #392	C₂³	semidirect
438. #391	C₂³	semidirect
439. #391	C₂³	semidirect
440. #391	C₂³	semidirect
441. #391	C₂³	semidirect
460. #390	C₂³	semidirect
461. #390	C₂³	semidirect
462. #390	C₂³	semidirect
463. #390	C₂³	semidirect
464. #390	C₂³	semidirect
465. #389	C₂³	semidirect
466. #389	C₂³	semidirect
467. #389	C₂³	semidirect
468. #389	C₂³	semidirect
469. #389	C₂³	semidirect
470. #389	C₂³	semidirect
471. #389	C₂³	semidirect
472. #389	C₂³	semidirect
473. #389	C₂³	semidirect
474. #389	C₂³	semidirect
475. #389	C₂³	semidirect
476. #389	C₂³	semidirect
477. #389	C₂³	semidirect
478. #389	C₂³	semidirect
479. #389	C₂³	semidirect
512. #388	C₂³	semidirect
513. #388	C₂³	semidirect
514. #388	C₂³	semidirect
515. #388	C₂³	semidirect
516. #388	C₂³	semidirect
517. #388	C₂³	semidirect
518. #388	C₂³	semidirect
519. #388	C₂³	semidirect
520. #388	C₂³	semidirect
521. #388	C₂³	semidirect
522. #388	C₂³	semidirect
523. #388	C₂³	semidirect
524. #388	C₂³	semidirect
525. #388	C₂³	semidirect
526. #388	C₂³	semidirect
527. #388	C₂³	semidirect
528. #388	C₂³	semidirect
529. #388	C₂³	semidirect
530. #388	C₂³	semidirect
531. #388	C₂³	semidirect
532. #387	C₂³	semidirect
533. #387	C₂³	semidirect
534. #387	C₂³	semidirect
535. #387	C₂³	semidirect
536. #387	C₂³	semidirect
537. #387	C₂³	semidirect
538. #387	C₂³	semidirect
539. #387	C₂³	semidirect
540. #387	C₂³	semidirect
541. #387	C₂³	semidirect
542. #387	C₂³	semidirect
543. #387	C₂³	semidirect
544. #387	C₂³	semidirect
545. #387	C₂³	semidirect
546. #387	C₂³	semidirect
547. #387	C₂³	semidirect
568. #386	C₂³	semidirect
569. #386	C₂³	semidirect
570. #386	C₂³	semidirect
571. #386	C₂³	semidirect
582. #385	C₂³	semidirect
583. #385	C₂³	semidirect
584. #385	C₂³	semidirect
585. #385	C₂³	semidirect
586. #385	C₂³	semidirect
587. #385	C₂³	semidirect
588. #384	C₂³	semidirect
589. #383	C₂³	semidirect
590. #382	C₂³	semidirect
591. #382	C₂³	semidirect
592. #382	C₂³	semidirect
595. #381	C₂³	semidirect
596. #381	C₂³	semidirect
613. #380	C₂³	semidirect
614. #380	C₂³	semidirect
615. #380	C₂³	semidirect
616. #380	C₂³	semidirect
630. C₄×C₄⋊C₄	C₂³	semidirect
631. C₄×C₄⋊C₄	C₂³	semidirect
632. C₄×C₄⋊C₄	C₂³	semidirect
633. C₄×C₄⋊C₄	C₂³	semidirect
634. C₄×C₄⋊C₄	C₂³	semidirect
635. C₄×C₄⋊C₄	C₂³	semidirect
636. C₄×C₄⋊C₄	C₂³	semidirect
654. C₄×C₂²⋊C₄	C₂³	semidirect
655. C₄×C₂²⋊C₄	C₂³	semidirect
656. C₄×C₂²⋊C₄	C₂³	semidirect
657. C₄×C₂²⋊C₄	C₂³	semidirect
658. #376	C₂³	semidirect
664. C₂×#95	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#50188	2
#50187	2
#49598	2
#49595	2
#47236	2
#46469	2
#44102	2
#44081	2
#43964	2
#43963	2
#39548	2
#39540	2
#39511	2
#39503	2
#39267	2
#37770	2
#37660	2
#37439	2
#36987	2
#36109	2
#35465	2
#35079	2
#35050	2
C₂×#2539	2
#34379	2
#34233	2
C₂×#2312	2