Subgroups — #7633220

Order 512.

5652 conjugacy classes of subgroups.

The subgroup lattice has 1364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#36521	C₂	1	4	yes	maximal, complemented
2	#36204	C₂	1	4	yes	maximal, complemented
3	#36169	C₂	1	4	yes	maximal, complemented
4	#36158	C₂	1	4	yes	maximal, complemented
5	#36013	C₂	1	2	yes	maximal, complemented
6	#36012	C₂	1	2	yes	maximal, complemented
7	#35967	C₂	1	4	yes	maximal, complemented
8	#35954	C₂	1	4	yes	maximal, complemented
9	#35706	C₂	1	2	yes	maximal, complemented
10	#35705	C₂	1	2	yes	maximal, complemented
11	#35504	C₂	1	2	yes	maximal, complemented
12	#35488	C₂	1	2	yes	maximal, complemented
13	#35439	C₂	1	2	yes	maximal, complemented
14	#35408	C₂	1	2	yes	maximal, complemented
15	#35379	C₂	1	4	yes	maximal, complemented
16	#35085	C₂	1	1	yes	maximal, characteristic, complemented
17	#35055	C₂	1	4	yes	maximal, complemented
18	#35050	C₂	1	1	yes	maximal, characteristic
19	#34958	C₂	1	1	yes	maximal, characteristic, complemented
20	#34849	C₂	1	4	yes	maximal, complemented
21	C₂×#2561	C₂	1	1	yes	maximal, characteristic, complemented
22	#34315	C₂	1	4	yes	maximal, complemented
23	#34245	C₂	1	1	yes	maximal, characteristic, complemented
24	#34152	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#2273	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#551	C₂²	1	4	yes	—
27	C₂×#525	C₂²	1	1	yes	characteristic
28	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
29	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
30	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
31	#2857	C₂²	1	2	yes	complemented
32	#2855	C₂²	1	4	yes	complemented
33	#2853	C₂²	1	4	yes	complemented
34	#2850	C₂²	1	2	yes	complemented
35	#2849	C₂²	1	4	yes	—
36	#2849	C₂²	1	2	yes	—
37	#2848	C₂²	1	4	yes	—
38	#2846	C₂²	1	2	yes	—
39	#2665	C₂²	1	4	yes	complemented
40	#2663	C₂²	1	4	yes	complemented
41	#2663	C₂²	1	4	yes	complemented
42	#2653	C₂²	1	4	yes	complemented
43	#2652	C₂²	1	4	yes	complemented
44	#2626	C₂²	1	2	yes	—
45	#2617	C₂²	1	2	yes	—
46	#2608	C₂²	1	2	yes	complemented
47	#2607	C₂²	1	2	yes	complemented
48	#2607	C₂²	1	4	yes	complemented
49	#2602	C₂²	1	4	yes	complemented
50	#2597	C₂²	1	4	yes	complemented
51	#2595	C₂²	1	4	yes	complemented
52	#2589	C₂²	1	4	yes	complemented
53	#2578	C₂²	1	4	yes	complemented
54	#2577	C₂²	1	4	yes	complemented
55	#2576	C₂²	1	4	yes	complemented
56	#2576	C₂²	1	4	yes	complemented
57	#2575	C₂²	1	4	yes	complemented
58	#2575	C₂²	1	4	yes	complemented
59	#2575	C₂²	1	4	yes	complemented
60	#2574	C₂²	1	4	yes	complemented
61	#2573	C₂²	1	4	yes	complemented
62	#2573	C₂²	1	4	yes	complemented
63	#2573	C₂²	1	4	yes	complemented
64	#2573	C₂²	1	4	yes	complemented
65	#2572	C₂²	1	4	yes	complemented
66	#2572	C₂²	1	4	yes	complemented
67	#2569	C₂²	1	2	yes	complemented
68	#2569	C₂²	1	2	yes	complemented
69	#2564	C₂²	1	4	yes	complemented
70	#2561	C₂²	1	2	yes	—
71	#2561	C₂²	1	2	yes	—
72	#2561	C₂²	1	4	yes	—
73	#2561	C₂²	1	2	yes	—
74	#2561	C₂²	1	2	yes	—
75	#2561	C₂²	1	2	yes	—
76	#2561	C₂²	1	2	yes	—
77	#2561	C₂²	1	4	yes	—
78	#2561	C₂²	1	2	yes	—
79	#2557	C₂²	1	4	yes	complemented
80	#2557	C₂²	1	4	yes	complemented
81	#2553	C₂²	1	4	yes	complemented
82	#2549	C₂²	1	2	yes	complemented
83	#2549	C₂²	1	2	yes	complemented
84	#2539	C₂²	1	2	yes	—
85	#2534	C₂²	1	4	yes	—
86	#2534	C₂²	1	4	yes	—
87	#2530	C₂²	1	4	yes	complemented
88	#2527	C₂²	1	4	yes	complemented
89	#2527	C₂²	1	4	yes	complemented
90	#2527	C₂²	1	4	yes	complemented
91	#2527	C₂²	1	4	yes	complemented
92	#2526	C₂²	1	4	yes	complemented
93	#2523	C₂²	1	4	yes	complemented
94	#2523	C₂²	1	4	yes	complemented
95	#2521	C₂²	1	4	yes	complemented
96	#2517	C₂²	1	4	yes	complemented
97	#2516	C₂²	1	4	yes	complemented
98	#2516	C₂²	1	4	yes	complemented
99	#2515	C₂²	1	4	yes	complemented
100	#2515	C₂²	1	4	yes	complemented
101	#2510	C₂²	1	4	yes	complemented
102	#2505	C₂²	1	4	yes	complemented
103	#2503	C₂²	1	1	yes	characteristic, complemented
104	#2501	C₂²	1	1	yes	characteristic, complemented
105	#2499	C₂²	1	2	yes	complemented
106	#2499	C₂²	1	4	yes	complemented
107	#2496	C₂²	1	4	yes	complemented
108	#2494	C₂²	1	4	yes	complemented
109	#2493	C₂²	1	4	yes	complemented
110	#2493	C₂²	1	4	yes	complemented
111	#2493	C₂²	1	4	yes	complemented
112	#2492	C₂²	1	4	yes	complemented
113	#2488	C₂²	1	4	yes	complemented
114	#2488	C₂²	1	4	yes	complemented
115	#2483	C₂²	1	4	yes	—
116	#2482	C₂²	1	4	yes	—
117	#2482	C₂²	1	1	yes	characteristic
118	#2482	C₂²	1	1	yes	characteristic
119	#2480	C₂²	1	4	yes	—
120	#2480	C₂²	1	4	yes	—
121	#2480	C₂²	1	4	yes	—
122	#2480	C₂²	1	4	yes	—
123	#2477	C₂²	1	4	yes	complemented
124	#2472	C₂²	1	4	yes	—
125	#2472	C₂²	1	4	yes	—
126	#2470	C₂²	1	4	yes	complemented
127	#2465	C₂²	1	4	yes	complemented
128	#2459	C₂²	1	4	yes	complemented
129	#2458	C₂²	1	4	yes	complemented
130	#2458	C₂²	1	4	yes	complemented
131	#2439	C₂²	1	4	yes	complemented
132	#2437	C₂²	1	4	yes	—
133	#2437	C₂²	1	4	yes	—
134	#2436	C₂²	1	1	yes	characteristic, complemented
135	#2434	C₂²	1	1	yes	characteristic, complemented
136	#2432	C₂²	1	2	yes	complemented
137	#2421	C₂²	1	4	yes	complemented
138	#2419	C₂²	1	4	yes	complemented
139	#2418	C₂²	1	4	yes	—
140	#2418	C₂²	1	4	yes	—
141	#2412	C₂²	1	4	yes	—
142	#2412	C₂²	1	4	yes	—
143	#2412	C₂²	1	4	yes	—
144	#2411	C₂²	1	4	yes	—
145	#2411	C₂²	1	2	yes	—
146	#2411	C₂²	1	2	yes	—
147	#2404	C₂²	1	1	yes	characteristic
148	#2404	C₂²	1	1	yes	characteristic
149	#2401	C₂²	1	4	yes	complemented
150	#2398	C₂²	1	4	yes	complemented
151	#2396	C₂²	1	4	yes	complemented
152	#2396	C₂²	1	4	yes	complemented
153	#2395	C₂²	1	4	yes	complemented
154	C₂×#397	C₂²	1	2	yes	—
155	C₂×#393	C₂²	1	2	yes	—
156	#2374	C₂²	1	4	yes	complemented
157	#2374	C₂²	1	4	yes	complemented
158	#2374	C₂²	1	4	yes	complemented
159	#2373	C₂²	1	4	yes	complemented
160	#2373	C₂²	1	4	yes	complemented
161	#2368	C₂²	1	4	yes	complemented
162	#2368	C₂²	1	2	yes	complemented
163	#2368	C₂²	1	2	yes	complemented
164	#2368	C₂²	1	4	yes	complemented
165	#2367	C₂²	1	4	yes	complemented
166	#2364	C₂²	1	2	yes	complemented
167	#2364	C₂²	1	2	yes	complemented
168	#2362	C₂²	1	4	yes	complemented
169	#2362	C₂²	1	4	yes	complemented
170	#2359	C₂²	1	4	yes	complemented
171	#2358	C₂²	1	4	yes	—
172	#2358	C₂²	1	4	yes	—
173	#2357	C₂²	1	4	yes	complemented
174	#2353	C₂²	1	4	yes	complemented
175	#2347	C₂²	1	4	yes	complemented
176	#2344	C₂²	1	2	yes	complemented
177	#2343	C₂²	1	4	yes	complemented
178	#2342	C₂²	1	4	yes	—
179	#2342	C₂²	1	4	yes	—
180	#2342	C₂²	1	4	yes	—
181	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
182	#2337	C₂²	1	4	yes	complemented
183	#2335	C₂²	1	4	yes	complemented
184	#2334	C₂²	1	4	yes	complemented
185	#2332	C₂²	1	4	yes	complemented
186	#2332	C₂²	1	2	yes	complemented
187	#2332	C₂²	1	2	yes	complemented
188	#2322	C₂²	1	4	yes	complemented
189	#2321	C₂²	1	4	yes	—
190	#2313	C₂²	1	2	yes	complemented
191	C₄×#126	C₂²	1	4	yes	complemented
192	C₄×C₂²⋊Q₈	C₂²	1	4	yes	complemented
193	C₄×C₂²⋊Q₈	C₂²	1	4	yes	complemented
194	C₄×C₂²⋊Q₈	C₂²	1	4	yes	complemented
195	C₄×#123	C₂²	1	4	yes	complemented
196	C₄×#123	C₂²	1	4	yes	complemented
197	C₄×#120	C₂²	1	4	yes	—
198	#2298	C₂²	1	4	yes	complemented
199	#2298	C₂²	1	2	yes	complemented
200	#2297	C₂²	1	2	yes	complemented
201	#2290	C₂²	1	4	yes	complemented
202	#2290	C₂²	1	2	yes	complemented
203	#2290	C₂²	1	2	yes	complemented
204	C₂×#388	C₂²	1	4	yes	—
205	#2283	C₂²	1	4	yes	complemented
206	#2280	C₂²	1	4	yes	—
207	#2280	C₂²	1	1	yes	characteristic
208	C₂×#381	C₂²	1	2	yes	—
209	C₂×#379	C₂²	1	2	yes	—
210	#2274	C₂²	1	2	yes	complemented
211	#2273	C₂²	1	2	yes	—
212	#2273	C₂²	1	2	yes	—
213	#2273	C₂²	1	2	yes	—
214	#2273	C₂²	1	2	yes	—
215	#2273	C₂²	1	2	yes	—
216	#2273	C₂²	1	2	yes	—
217	#2273	C₂²	1	2	yes	—
218	#2273	C₂²	1	2	yes	—
219	C₄²×D₄	C₂²	1	2	yes	complemented
220	C₄²×D₄	C₂²	1	2	yes	complemented
221	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
222	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
223	C₂×C₄×C₂²⋊C₄	C₂²	1	4	yes	—
224	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
225	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
226	C₂×C₄×C₂²⋊C₄	C₂²	1	4	yes	—
227	C₂⁶	C₂³	1	1	yes	characteristic
228	C₂²×#41	C₂³	1	1	yes	characteristic
229	C₂³×Q₈	C₂³	1	1	yes	characteristic
230	C₂⁴×C₄	C₂³	1	1	yes	characteristic
231	C₂⁴×C₄	C₂³	1	4	yes	—
232	C₂⁴×C₄	C₂³	1	1	yes	characteristic
233	#551	—	2	32	no	—
234	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
235	C₂×#126	C₂³	1	4	yes	—
236	C₂×#126	C₂³	1	4	yes	—
237	C₂×#124	C₂³	1	4	yes	—
238	C₂×#124	C₂³	1	2	yes	complemented
239	#525	—	2	8	no	—
240	C₂×#123	C₂³	1	4	yes	—
241	C₂×#123	C₂³	1	4	yes	—
242	C₂×#123	C₂³	1	2	yes	—
243	C₂×#123	C₂³	1	4	yes	—
244	C₂×#123	C₂³	1	4	yes	—
245	C₂×#123	C₂³	1	4	yes	—
246	C₂×C₂²⋊Q₈	—	2	8	no	—
247	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
248	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
249	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
250	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
252	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
253	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
255	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
256	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
257	C₂×#121	C₂³	1	1	yes	characteristic
258	C₂×#121	C₂³	1	1	yes	characteristic
259	C₂×#120	C₂³	1	4	yes	—
260	C₂×#120	C₂³	1	2	yes	—
261	C₂×#120	C₂³	1	4	yes	—
262	C₂×#120	C₂³	1	2	yes	—
263	C₂×#120	C₂³	1	2	yes	—
264	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
265	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
266	C₂×C₄×D₄	C₂³	1	2	yes	—
267	C₂×C₄×D₄	C₂³	1	2	yes	—
268	C₂×C₄×D₄	C₂³	1	4	yes	—
269	C₂×C₄×D₄	C₂³	1	4	yes	—
270	C₂×C₄×D₄	C₂³	1	4	yes	—
271	C₂×C₄×D₄	C₂³	1	4	yes	—
272	C₂×#117	C₂³	1	4	yes	—
273	C₂×#117	C₂³	1	4	yes	—
274	C₂×#117	C₂³	1	1	yes	characteristic
275	C₂×#117	C₂³	1	4	yes	—
276	C₂×#117	C₂³	1	2	yes	—
277	C₂×#117	C₂³	1	2	yes	complemented
278	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
279	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂²×C₂²⋊C₄	—	2	8	no	—
281	C₂²×C₂²⋊C₄	—	2	16	no	—
282	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
283	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
288	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
289	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
292	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
293	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
294	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
295	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
296	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
297	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
298	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
299	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
300	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
301	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
302	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
303	C₂²×C₄²	C₂³	1	4	yes	—
304	C₂²×C₄²	C₂³	1	2	yes	—
305	C₂²×C₄²	C₂³	1	2	yes	—
306	C₂²×C₄²	C₂³	1	2	yes	—
307	C₂²×C₄²	C₂³	1	2	yes	complemented
308	#401	C₂³	1	4	yes	complemented
309	#401	C₂³	1	4	yes	complemented
310	#400	C₂³	1	4	yes	complemented
311	#400	C₂³	1	4	yes	complemented
312	#400	C₂³	1	4	yes	complemented
313	#400	C₂³	1	4	yes	complemented
314	#400	C₂³	1	4	yes	complemented
315	#400	C₂³	1	4	yes	complemented
316	#400	C₂³	1	4	yes	complemented
317	#400	C₂³	1	4	yes	complemented
318	#400	C₂³	1	4	yes	complemented
319	#400	C₂³	1	4	yes	complemented
320	#400	C₂³	1	4	yes	complemented
321	#399	C₂³	1	2	yes	—
322	#399	C₂³	1	4	yes	—
323	#399	C₂³	1	4	yes	—
324	#399	C₂³	1	2	yes	—
325	#399	C₂³	1	4	yes	complemented
326	#398	C₂³	1	4	yes	complemented
327	#398	C₂³	1	4	yes	complemented
328	#398	C₂³	1	4	yes	complemented
329	#397	C₂³	1	2	yes	—
330	#397	C₂³	1	4	yes	—
331	#397	C₂³	1	2	yes	—
332	#397	C₂³	1	2	yes	—
333	#397	C₂³	1	2	yes	—
334	#397	C₂³	1	4	yes	—
335	#397	C₂³	1	4	yes	—
336	#397	C₂³	1	4	yes	—
337	#397	C₂³	1	2	yes	—
338	#397	C₂³	1	2	yes	—
339	#397	C₂³	1	4	yes	—
340	#397	C₂³	1	4	yes	—
341	#397	C₂³	1	4	yes	—
342	#397	C₂³	1	4	yes	—
343	#397	C₂³	1	4	yes	—
344	#397	C₂³	1	4	yes	—
345	#397	C₂³	1	4	yes	—
346	#397	C₂³	1	4	yes	—
347	#397	C₂³	1	4	yes	complemented
348	#397	C₂³	1	4	yes	complemented
349	#397	C₂³	1	4	yes	complemented
350	#396	C₂³	1	4	yes	—
351	#396	C₂³	1	4	yes	—
352	#396	C₂³	1	4	yes	—
353	#396	C₂³	1	4	yes	—
354	#396	C₂³	1	4	yes	—
355	#396	C₂³	1	4	yes	—
356	#395	C₂³	1	4	yes	complemented
357	#395	C₂³	1	4	yes	complemented
358	#394	C₂³	1	4	yes	—
359	#394	C₂³	1	4	yes	—
360	#394	C₂³	1	4	yes	—
361	#394	C₂³	1	4	yes	—
362	#394	C₂³	1	4	yes	—
363	#394	C₂³	1	4	yes	—
364	#394	C₂³	1	4	yes	—
365	#394	C₂³	1	4	yes	—
366	#393	C₂³	1	2	yes	—
367	#393	C₂³	1	2	yes	—
368	#393	C₂³	1	4	yes	—
369	#393	C₂³	1	4	yes	—
370	#393	C₂³	1	2	yes	—
371	#393	C₂³	1	2	yes	—
372	#393	C₂³	1	4	yes	—
373	#393	C₂³	1	4	yes	—
374	#393	C₂³	1	2	yes	—
375	#393	C₂³	1	2	yes	—
376	#393	C₂³	1	4	yes	complemented
377	#393	C₂³	1	4	yes	complemented
378	#392	C₂³	1	2	yes	—
379	#392	C₂³	1	2	yes	—
380	#391	C₂³	1	4	yes	complemented
381	#391	C₂³	1	4	yes	complemented
382	#391	C₂³	1	4	yes	complemented
383	#391	C₂³	1	4	yes	complemented
384	#391	C₂³	1	4	yes	complemented
385	#391	C₂³	1	4	yes	complemented
386	#391	C₂³	1	2	yes	complemented
387	#391	C₂³	1	4	yes	complemented
388	#391	C₂³	1	2	yes	complemented
389	#391	C₂³	1	2	yes	complemented
390	#391	C₂³	1	4	yes	complemented
391	#391	C₂³	1	4	yes	complemented
392	#390	C₂³	1	4	yes	—
393	#390	C₂³	1	4	yes	—
394	#390	C₂³	1	4	yes	—
395	#390	C₂³	1	4	yes	—
396	#390	C₂³	1	2	yes	complemented
397	#389	C₂³	1	4	yes	complemented
398	#389	C₂³	1	4	yes	complemented
399	#389	C₂³	1	4	yes	complemented
400	#389	C₂³	1	4	yes	complemented
401	#389	C₂³	1	4	yes	complemented
402	#389	C₂³	1	4	yes	complemented
403	#389	C₂³	1	4	yes	complemented
404	#388	C₂³	1	4	yes	—
405	#388	C₂³	1	4	yes	—
406	#388	C₂³	1	4	yes	—
407	#388	C₂³	1	4	yes	—
408	#388	C₂³	1	4	yes	—
409	#388	C₂³	1	4	yes	—
410	#388	C₂³	1	4	yes	—
411	#388	C₂³	1	4	yes	—
412	#388	C₂³	1	4	yes	—
413	#388	C₂³	1	4	yes	—
414	#388	C₂³	1	4	yes	—
415	#388	C₂³	1	4	yes	—
416	#388	C₂³	1	4	yes	—
417	#388	C₂³	1	4	yes	—
418	#388	C₂³	1	4	yes	—
419	#388	C₂³	1	4	yes	—
420	#388	C₂³	1	4	yes	—
421	#388	C₂³	1	4	yes	—
422	#388	C₂³	1	4	yes	—
423	#388	C₂³	1	4	yes	—
424	#388	C₂³	1	4	yes	—
425	#388	C₂³	1	4	yes	—
426	#388	C₂³	1	4	yes	—
427	#388	C₂³	1	4	yes	—
428	#388	C₂³	1	4	yes	—
429	#388	C₂³	1	4	yes	—
430	#388	C₂³	1	4	yes	—
431	#388	C₂³	1	4	yes	—
432	#388	C₂³	1	4	yes	complemented
433	#388	C₂³	1	4	yes	complemented
434	#388	C₂³	1	4	yes	complemented
435	#388	C₂³	1	4	yes	complemented
436	#388	C₂³	1	4	yes	complemented
437	#388	C₂³	1	4	yes	complemented
438	#388	C₂³	1	4	yes	complemented
439	#388	C₂³	1	4	yes	complemented
440	#388	C₂³	1	4	yes	complemented
441	#388	C₂³	1	4	yes	complemented
442	#388	C₂³	1	4	yes	complemented
443	#388	C₂³	1	4	yes	complemented
444	#387	C₂³	1	4	yes	complemented
445	#387	C₂³	1	4	yes	complemented
446	#387	C₂³	1	4	yes	complemented
447	#387	C₂³	1	4	yes	complemented
448	#387	C₂³	1	4	yes	complemented
449	#387	C₂³	1	4	yes	complemented
450	#387	C₂³	1	4	yes	complemented
451	#387	C₂³	1	4	yes	complemented
452	#387	C₂³	1	4	yes	complemented
453	#387	C₂³	1	4	yes	complemented
454	#387	C₂³	1	4	yes	complemented
455	#387	C₂³	1	4	yes	complemented
456	#387	C₂³	1	4	yes	complemented
457	#387	C₂³	1	4	yes	complemented
458	#387	C₂³	1	4	yes	complemented
459	#387	C₂³	1	4	yes	complemented
460	#387	C₂³	1	4	yes	complemented
461	#387	C₂³	1	4	yes	complemented
462	#387	C₂³	1	4	yes	complemented
463	#387	C₂³	1	4	yes	complemented
464	#387	C₂³	1	4	yes	complemented
465	#387	C₂³	1	4	yes	complemented
466	#387	C₂³	1	4	yes	complemented
467	#387	C₂³	1	4	yes	complemented
468	#387	C₂³	1	4	yes	complemented
469	#387	C₂³	1	4	yes	complemented
470	#387	C₂³	1	4	yes	complemented
471	#387	C₂³	1	4	yes	complemented
472	#387	C₂³	1	4	yes	complemented
473	#387	C₂³	1	4	yes	complemented
474	#387	C₂³	1	4	yes	complemented
475	#387	C₂³	1	4	yes	complemented
476	#387	C₂³	1	4	yes	complemented
477	#387	C₂³	1	4	yes	complemented
478	#386	C₂³	1	4	yes	—
479	#386	C₂³	1	4	yes	—
480	#386	C₂³	1	2	yes	—
481	#386	C₂³	1	4	yes	—
482	#386	C₂³	1	4	yes	—
483	#386	C₂³	1	4	yes	—
484	#386	C₂³	1	2	yes	—
485	#386	C₂³	1	4	yes	—
486	#386	C₂³	1	4	yes	—
487	#386	C₂³	1	4	yes	—
488	#386	C₂³	1	4	yes	—
489	#386	C₂³	1	4	yes	—
490	#386	C₂³	1	4	yes	—
491	#386	C₂³	1	4	yes	—
492	#386	C₂³	1	4	yes	—
493	#386	C₂³	1	4	yes	—
494	#386	C₂³	1	4	yes	complemented
495	#385	C₂³	1	4	yes	—
496	#385	C₂³	1	4	yes	—
497	#385	C₂³	1	2	yes	—
498	#385	C₂³	1	4	yes	—
499	#385	C₂³	1	4	yes	—
500	#385	C₂³	1	4	yes	—
501	#385	C₂³	1	4	yes	—
502	#385	C₂³	1	2	yes	—
503	#385	C₂³	1	4	yes	—
504	#385	C₂³	1	4	yes	—
505	#385	C₂³	1	4	yes	—
506	#385	C₂³	1	4	yes	—
507	#385	C₂³	1	4	yes	—
508	#385	C₂³	1	4	yes	—
509	#385	C₂³	1	4	yes	—
510	#385	C₂³	1	4	yes	—
511	#385	C₂³	1	4	yes	—
512	#385	C₂³	1	4	yes	—
513	#385	C₂³	1	4	yes	—
514	#385	C₂³	1	4	yes	—
515	#385	C₂³	1	4	yes	complemented
516	#385	C₂³	1	4	yes	complemented
517	#385	C₂³	1	4	yes	complemented
518	#384	C₂³	1	2	yes	complemented
519	#383	C₂³	1	4	yes	complemented
520	#383	C₂³	1	4	yes	complemented
521	#383	C₂³	1	4	yes	complemented
522	#383	C₂³	1	4	yes	complemented
523	#382	C₂³	1	4	yes	complemented
524	#382	C₂³	1	2	yes	complemented
525	#382	C₂³	1	4	yes	complemented
526	#382	C₂³	1	4	yes	complemented
527	#381	C₂³	1	4	yes	—
528	#381	C₂³	1	4	yes	—
529	#381	C₂³	1	4	yes	—
530	#381	C₂³	1	4	yes	—
531	#381	C₂³	1	4	yes	—
532	#381	C₂³	1	4	yes	—
533	#381	C₂³	1	4	yes	—
534	#381	C₂³	1	4	yes	—
535	#381	C₂³	1	4	yes	—
536	#381	C₂³	1	4	yes	—
537	#381	C₂³	1	1	yes	characteristic
538	#381	C₂³	1	1	yes	characteristic
539	#381	C₂³	1	4	yes	—
540	#381	C₂³	1	4	yes	complemented
541	#380	C₂³	1	4	yes	—
542	#380	C₂³	1	4	yes	—
543	#380	C₂³	1	4	yes	—
544	#380	C₂³	1	2	yes	—
545	#380	C₂³	1	4	yes	—
546	#380	C₂³	1	4	yes	—
547	#380	C₂³	1	2	yes	—
548	#380	C₂³	1	4	yes	—
549	#380	C₂³	1	4	yes	—
550	#380	C₂³	1	4	yes	—
551	#380	C₂³	1	4	yes	—
552	#379	C₂³	1	4	yes	—
553	#379	C₂³	1	2	yes	—
554	#379	C₂³	1	4	yes	—
555	#379	C₂³	1	4	yes	—
556	#379	C₂³	1	4	yes	—
557	#379	C₂³	1	4	yes	—
558	#379	C₂³	1	4	yes	—
559	#379	C₂³	1	2	yes	—
560	#379	C₂³	1	2	yes	—
561	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
562	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
563	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
564	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
565	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
566	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
567	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
568	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
569	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
570	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
571	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
572	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
573	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
574	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
575	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
576	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
577	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
578	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
579	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
580	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
581	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
582	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
583	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
584	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
585	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
586	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
587	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
588	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
589	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
590	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
591	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
592	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
593	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
594	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
595	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
596	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
597	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
598	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
599	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
600	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
601	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
602	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
603	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
604	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
605	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
606	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
607	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
609	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
610	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
611	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
615	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
616	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
617	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
618	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
619	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
620	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
621	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
622	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
623	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
624	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
625	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
626	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
627	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
628	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
629	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
630	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
631	#376	C₂³	1	4	yes	complemented
632	#376	C₂³	1	4	yes	complemented
633	#376	C₂³	1	2	yes	complemented
634	C₂×#95	C₂³	1	2	yes	—
635	C₂×#95	C₂³	1	2	yes	—
636	C₂×#95	C₂³	1	4	yes	—
637	C₂×#95	C₂³	1	4	yes	—
638	C₂×#95	C₂³	1	2	yes	—
639	C₂×#95	C₂³	1	4	yes	—
640	C₄³	C₂³	1	2	yes	complemented
641	C₂⁵	—	2	8	no	—
642	C₂⁵	—	2	4	no	—
643	C₂⁵	—	4	4	no	—
644	C₂⁵	—	8	2	no	—
645	C₂⁵	C₂⁴	1	2	yes	—
646	C₂⁵	C₂⁴	1	1	yes	characteristic
647	C₂⁵	C₂⁴	1	1	yes	characteristic
648	C₂⁵	C₂⁴	1	1	yes	characteristic
649	C₂⁵	C₂⁴	1	2	yes	—
650	C₂×#41	—	2	4	no	—
651	C₂×#41	—	8	2	no	—
652	C₂²×Q₈	—	2	4	no	—
653	C₂²×Q₈	—	8	2	no	—
654	C₂²×Q₈	C₂⁴	1	2	yes	—
655	C₂²×Q₈	C₂⁴	1	4	yes	—
656	C₂²×Q₈	C₂⁴	1	2	yes	—
657	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
658	C₂²×D₄	C₂⁴	1	2	yes	—
659	C₂²×D₄	C₂⁴	1	2	yes	—
660	C₂²×D₄	C₂⁴	1	4	yes	—
661	C₂²×D₄	C₂⁴	1	4	yes	—
662	C₂²×D₄	C₂⁴	1	2	yes	—
663	C₂²×D₄	C₂⁴	1	1	yes	characteristic
664	C₂³×C₄	—	2	4	no	—
665	C₂³×C₄	—	2	16	no	—
666	C₂³×C₄	—	4	8	no	—
667	C₂³×C₄	—	4	4	no	—
668	C₂³×C₄	—	8	2	no	—
669	C₂³×C₄	—	8	4	no	—
670	C₂³×C₄	#41	1	8	yes	—
671	C₂³×C₄	C₂⁴	1	2	yes	—
672	C₂³×C₄	C₂⁴	1	2	yes	—
673	C₂³×C₄	C₂⁴	1	4	yes	—
674	C₂³×C₄	C₂⁴	1	4	yes	—
675	C₂³×C₄	C₂⁴	1	2	yes	—
676	C₂³×C₄	C₂⁴	1	4	yes	—
677	C₂³×C₄	C₂⁴	1	4	yes	—
678	C₂³×C₄	C₂⁴	1	4	yes	—
679	C₂³×C₄	C₂⁴	1	4	yes	—
680	C₂³×C₄	C₂⁴	1	2	yes	—
681	C₂³×C₄	C₂⁴	1	1	yes	characteristic
682	C₂³×C₄	C₂⁴	1	1	yes	characteristic
683	C₂³×C₄	C₂⁴	1	2	yes	—
684	C₂³×C₄	C₂⁴	1	4	yes	—
685	C₂³×C₄	C₂⁴	1	1	yes	characteristic
686	C₂³×C₄	C₂⁴	1	1	yes	characteristic
687	C₂³×C₄	C₂⁴	1	4	yes	—
688	C₂³×C₄	C₂⁴	1	1	yes	characteristic
689	C₂³×C₄	C₂⁴	1	1	yes	characteristic
690	C₂³×C₄	C₂⁴	1	1	yes	characteristic
691	C₂³×C₄	C₂⁴	1	1	yes	characteristic
692	C₄⋊Q₈	—	8	2	no	—
693	#126	—	2	16	no	—
694	#126	—	2	16	no	—
695	#124	—	2	16	no	—
696	#124	—	8	2	no	—
697	#123	—	2	8	no	—
698	#123	—	2	16	no	—
699	#123	—	2	16	no	—
700	#123	—	2	16	no	—
701	#123	—	4	8	no	—
702	#123	—	8	4	no	—
703	C₂²⋊Q₈	—	2	8	no	—
704	C₂²⋊Q₈	—	2	8	no	—
705	C₂²⋊Q₈	—	2	8	no	—
706	C₂²⋊Q₈	—	2	8	no	—
707	C₂²⋊Q₈	—	2	4	no	—
708	C₂²⋊Q₈	—	2	4	no	—
709	C₂²⋊Q₈	—	2	16	no	—
710	C₂²⋊Q₈	—	2	16	no	—
711	C₂²⋊Q₈	—	4	8	no	—
712	C₂²⋊Q₈	—	8	4	no	—
713	#121	—	2	4	no	—
714	#121	—	2	4	no	—
715	#120	—	2	8	no	—
716	#120	—	2	16	no	—
717	#120	—	4	8	no	—
718	#120	—	8	2	no	—
719	#120	—	8	2	no	—
720	C₄×Q₈	—	8	4	no	—
721	C₄×Q₈	—	8	4	no	—
722	C₄×D₄	—	2	8	no	—
723	C₄×D₄	—	2	8	no	—
724	C₄×D₄	—	2	16	no	—
725	C₄×D₄	—	2	16	no	—
726	C₄×D₄	—	4	8	no	—
727	C₄×D₄	—	8	4	no	—
728	#117	—	2	4	no	—
729	#117	—	2	16	no	—
730	#117	—	2	16	no	—
731	#117	—	8	4	no	—
732	#117	—	8	2	no	—
733	#117	—	8	2	no	—
734	C₂×C₄⋊C₄	—	2	4	no	—
735	C₂×C₄⋊C₄	—	2	8	no	—
736	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
737	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
738	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
739	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
740	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
743	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
744	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
745	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
747	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
748	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
749	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
751	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
752	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
753	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
756	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
757	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
758	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
759	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
760	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
761	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
762	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
763	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
764	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
766	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₂²⋊C₄	—	2	8	no	—
768	C₂×C₂²⋊C₄	—	2	8	no	—
769	C₂×C₂²⋊C₄	—	2	16	no	—
770	C₂×C₂²⋊C₄	—	2	8	no	—
771	C₂×C₂²⋊C₄	—	2	8	no	—
772	C₂×C₂²⋊C₄	—	2	8	no	—
773	C₂×C₂²⋊C₄	—	2	8	no	—
774	C₂×C₂²⋊C₄	—	2	4	no	—
775	C₂×C₂²⋊C₄	—	2	4	no	—
776	C₂×C₂²⋊C₄	—	2	4	no	—
777	C₂×C₂²⋊C₄	—	2	4	no	—
778	C₂×C₂²⋊C₄	—	2	16	no	—
779	C₂×C₂²⋊C₄	—	2	8	no	—
780	C₂×C₂²⋊C₄	—	2	8	no	—
781	C₂×C₂²⋊C₄	—	2	8	no	—
782	C₂×C₂²⋊C₄	—	2	8	no	—
783	C₂×C₂²⋊C₄	—	2	16	no	—
784	C₂×C₂²⋊C₄	—	2	16	no	—
785	C₂×C₂²⋊C₄	—	4	4	no	—
786	C₂×C₂²⋊C₄	—	8	4	no	—
787	C₂×C₂²⋊C₄	#41	1	16	yes	complemented
788	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
789	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
790	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
792	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
795	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
797	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
799	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
805	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
838	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
839	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
840	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
843	C₂×C₄²	—	4	8	no	—
844	C₂×C₄²	—	8	2	no	—
845	C₂×C₄²	—	8	2	no	—
846	C₂×C₄²	—	8	2	no	—
847	C₂×C₄²	—	8	2	no	—
848	C₂×C₄²	C₂⁴	1	4	yes	—
849	C₂×C₄²	C₂⁴	1	2	yes	—
850	C₂×C₄²	C₂⁴	1	4	yes	—
851	C₂×C₄²	C₂⁴	1	4	yes	—
852	C₂×C₄²	C₂⁴	1	4	yes	—
853	C₂×C₄²	C₂⁴	1	4	yes	—
854	C₂×C₄²	C₂⁴	1	4	yes	—
855	C₂×C₄²	C₂⁴	1	2	yes	—
856	C₂×C₄²	C₂⁴	1	2	yes	—
857	C₂×C₄²	C₂⁴	1	4	yes	—
858	C₂×C₄²	C₂⁴	1	4	yes	—
859	C₂×C₄²	C₂⁴	1	4	yes	—
860	C₂×C₄²	C₂⁴	1	4	yes	—
861	C₂×C₄²	C₂⁴	1	4	yes	—
862	C₂×C₄²	C₂⁴	1	2	yes	—
863	C₂×C₄²	C₂⁴	1	2	yes	—
864	C₂×C₄²	C₂⁴	1	2	yes	—
865	C₂×C₄²	C₂⁴	1	2	yes	—
866	C₂×C₄²	C₂⁴	1	4	yes	—
867	C₂×C₄²	C₂⁴	1	4	yes	—
868	C₂×C₄²	C₂⁴	1	4	yes	—
869	C₂×C₄²	C₂⁴	1	4	yes	—
870	#95	C₂⁴	1	4	yes	—
871	#95	C₂⁴	1	4	yes	—
872	#95	C₂⁴	1	2	yes	—
873	#95	C₂⁴	1	4	yes	—
874	#95	C₂⁴	1	4	yes	—
875	#95	C₂⁴	1	4	yes	—
876	#95	C₂⁴	1	4	yes	—
877	#95	C₂⁴	1	2	yes	—
878	#95	C₂⁴	1	2	yes	—
879	#95	C₂⁴	1	4	yes	—
880	#95	C₂⁴	1	2	yes	—
881	#95	C₂⁴	1	4	yes	—
882	#95	C₂⁴	1	2	yes	—
883	#95	C₂⁴	1	4	yes	—
884	#95	C₂⁴	1	2	yes	—
885	#95	C₂⁴	1	4	yes	—
886	#95	C₂⁴	1	4	yes	—
887	#95	C₂⁴	1	4	yes	—
888	#95	C₂⁴	1	4	yes	—
889	#95	C₂⁴	1	4	yes	—
890	#95	C₂⁴	1	4	yes	—
891	#95	C₂⁴	1	4	yes	—
892	#95	C₂⁴	1	4	yes	—
893	#95	C₂⁴	1	4	yes	—
894	#95	C₂⁴	1	4	yes	—
895	#95	C₂⁴	1	4	yes	—
896	#95	C₂⁴	1	4	yes	—
897	#95	C₂⁴	1	4	yes	—
898	#95	C₂⁴	1	4	yes	—
899	#95	C₂⁴	1	4	yes	—
900	#95	C₂⁴	1	4	yes	—
901	#95	C₂⁴	1	4	yes	—
902	#95	C₂⁴	1	4	yes	—
903	#95	C₂⁴	1	4	yes	—
904	#95	C₂⁴	1	4	yes	—
905	#95	C₂⁴	1	2	yes	—
906	#95	C₂⁴	1	2	yes	—
907	#95	C₂⁴	1	4	yes	—
908	#95	C₂⁴	1	4	yes	—
909	#95	C₂⁴	1	4	yes	—
910	#95	C₂⁴	1	4	yes	—
911	#95	C₂⁴	1	4	yes	—
912	#95	C₂⁴	1	4	yes	—
913	#95	C₂⁴	1	2	yes	—
914	#95	C₂⁴	1	2	yes	—
915	#95	C₂⁴	1	4	yes	—
916	#95	C₂⁴	1	4	yes	—
917	#95	C₂⁴	1	4	yes	—
918	#95	C₂⁴	1	4	yes	—
919	#95	C₂⁴	1	4	yes	—
920	#95	C₂⁴	1	4	yes	—
921	#95	C₂⁴	1	4	yes	—
922	#95	C₂⁴	1	4	yes	—
923	#95	C₂⁴	1	4	yes	—
924	#95	C₂⁴	1	4	yes	—
925	#95	C₂⁴	1	4	yes	—
926	#95	C₂⁴	1	4	yes	—
927	C₂⁴	—	2	32	no	—
928	C₂⁴	—	2	4	no	—
929	C₂⁴	—	2	4	no	—
930	C₂⁴	—	2	4	no	—
931	C₂⁴	—	2	4	no	—
932	C₂⁴	—	2	4	no	—
933	C₂⁴	—	2	4	no	—
934	C₂⁴	—	2	2	no	—
935	C₂⁴	—	2	2	no	—
936	C₂⁴	—	2	4	no	—
937	C₂⁴	—	2	4	no	—
938	C₂⁴	—	2	4	no	—
939	C₂⁴	—	2	8	no	—
940	C₂⁴	—	4	2	no	—
941	C₂⁴	—	4	4	no	—
942	C₂⁴	—	4	4	no	—
943	C₂⁴	—	4	4	no	—
944	C₂⁴	—	4	2	no	—
945	C₂⁴	—	4	2	no	—
946	C₂⁴	—	4	2	no	—
947	C₂⁴	—	4	2	no	—
948	C₂⁴	—	8	8	no	—
949	C₂⁴	—	8	32	no	—
950	C₂⁴	—	8	8	no	—
951	C₂⁴	C₂×#41	1	4	yes	—
952	C₂⁴	C₂×#41	1	8	yes	—
953	C₂⁴	C₂⁵	1	2	yes	—
954	C₂⁴	C₂⁵	1	1	yes	characteristic
955	C₂⁴	C₂⁵	1	2	yes	—
956	C₂⁴	C₂⁵	1	2	yes	—
957	C₂⁴	C₂⁵	1	1	yes	characteristic
958	C₂⁴	C₂⁵	1	1	yes	characteristic
959	#41	—	8	8	no	—
960	C₂×Q₈	—	2	4	no	—
961	C₂×Q₈	—	2	8	no	—
962	C₂×Q₈	—	2	4	no	—
963	C₂×Q₈	—	2	2	no	—
964	C₂×Q₈	—	4	4	no	—
965	C₂×Q₈	—	4	4	no	—
966	C₂×Q₈	—	4	4	no	—
967	C₂×Q₈	—	4	2	no	—
968	C₂×Q₈	—	4	2	no	—
969	C₂×Q₈	—	4	2	no	—
970	C₂×Q₈	—	8	8	no	—
971	C₂×D₄	—	2	4	no	—
972	C₂×D₄	—	2	4	no	—
973	C₂×D₄	—	2	8	no	—
974	C₂×D₄	—	2	8	no	—
975	C₂×D₄	—	2	8	no	—
976	C₂×D₄	—	2	8	no	—
977	C₂×D₄	—	2	4	no	—
978	C₂×D₄	—	2	2	no	—
979	C₂×D₄	—	4	4	no	—
980	C₂×D₄	—	4	4	no	—
981	C₂×D₄	—	4	4	no	—
982	C₂×D₄	—	4	4	no	—
983	C₂×D₄	—	4	2	no	—
984	C₂×D₄	—	4	2	no	—
985	C₂×D₄	—	4	2	no	—
986	C₂²×C₄	—	2	4	no	—
987	C₂²×C₄	—	2	4	no	—
988	C₂²×C₄	—	2	8	no	—
989	C₂²×C₄	—	2	8	no	—
990	C₂²×C₄	—	2	8	no	—
991	C₂²×C₄	—	2	8	no	—
992	C₂²×C₄	—	2	8	no	—
993	C₂²×C₄	—	2	2	no	—
994	C₂²×C₄	—	2	2	no	—
995	C₂²×C₄	—	2	4	no	—
996	C₂²×C₄	—	2	4	no	—
997	C₂²×C₄	—	2	8	no	—
998	C₂²×C₄	—	2	8	no	—
999	C₂²×C₄	—	2	8	no	—
1000	C₂²×C₄	—	2	4	no	—
1001	C₂²×C₄	—	2	8	no	—
1002	C₂²×C₄	—	2	8	no	—
1003	C₂²×C₄	—	2	8	no	—
1004	C₂²×C₄	—	4	2	no	—
1005	C₂²×C₄	—	4	2	no	—
1006	C₂²×C₄	—	4	4	no	—
1007	C₂²×C₄	—	4	2	no	—
1008	C₂²×C₄	—	4	4	no	—
1009	C₂²×C₄	—	4	2	no	—
1010	C₂²×C₄	—	4	2	no	—
1011	C₂²×C₄	—	4	4	no	—
1012	C₂²×C₄	—	4	2	no	—
1013	C₂²×C₄	—	4	4	no	—
1014	C₂²×C₄	—	4	2	no	—
1015	C₂²×C₄	—	4	2	no	—
1016	C₂²×C₄	—	4	4	no	—
1017	C₂²×C₄	—	4	4	no	—
1018	C₂²×C₄	—	4	4	no	—
1019	C₂²×C₄	—	4	4	no	—
1020	C₂²×C₄	—	4	4	no	—
1021	C₂²×C₄	—	4	4	no	—
1022	C₂²×C₄	—	4	4	no	—
1023	C₂²×C₄	—	4	4	no	—
1024	C₂²×C₄	—	4	4	no	—
1025	C₂²×C₄	—	4	4	no	—
1026	C₂²×C₄	—	4	4	no	—
1027	C₂²×C₄	—	4	2	no	—
1028	C₂²×C₄	—	4	2	no	—
1029	C₂²×C₄	—	4	4	no	—
1030	C₂²×C₄	—	8	8	no	—
1031	C₂²×C₄	—	8	32	no	—
1032	C₂²×C₄	—	8	8	no	—
1033	C₂²×C₄	C₂×#41	1	4	yes	—
1034	C₂²×C₄	C₂×#41	1	4	yes	—
1035	C₂²×C₄	C₂×#41	1	4	yes	—
1036	C₂²×C₄	C₂×#41	1	4	yes	—
1037	C₂²×C₄	C₂×#41	1	4	yes	—
1038	C₂²×C₄	C₂×#41	1	4	yes	—
1039	C₂²×C₄	C₂×#41	1	16	yes	—
1040	C₂²×C₄	C₂⁵	1	2	yes	—
1041	C₂²×C₄	C₂⁵	1	2	yes	—
1042	C₂²×C₄	C₂⁵	1	4	yes	—
1043	C₂²×C₄	C₂⁵	1	4	yes	—
1044	C₂²×C₄	C₂⁵	1	4	yes	—
1045	C₂²×C₄	C₂⁵	1	2	yes	—
1046	C₂²×C₄	C₂⁵	1	2	yes	—
1047	C₂²×C₄	C₂⁵	1	4	yes	—
1048	C₂²×C₄	C₂⁵	1	4	yes	—
1049	C₂²×C₄	C₂⁵	1	4	yes	—
1050	C₂²×C₄	C₂⁵	1	4	yes	—
1051	C₂²×C₄	C₂⁵	1	2	yes	—
1052	C₂²×C₄	C₂⁵	1	4	yes	—
1053	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1054	C₂²×C₄	C₂⁵	1	4	yes	—
1055	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1056	C₂²×C₄	C₂⁵	1	4	yes	—
1057	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1058	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1059	C₄⋊C₄	—	2	4	no	—
1060	C₄⋊C₄	—	2	4	no	—
1061	C₄⋊C₄	—	2	8	no	—
1062	C₄⋊C₄	—	2	8	no	—
1063	C₄⋊C₄	—	2	2	no	—
1064	C₄⋊C₄	—	2	2	no	—
1065	C₄⋊C₄	—	2	8	no	—
1066	C₄⋊C₄	—	2	8	no	—
1067	C₄⋊C₄	—	2	8	no	—
1068	C₄⋊C₄	—	2	8	no	—
1069	C₄⋊C₄	—	2	4	no	—
1070	C₄⋊C₄	—	2	4	no	—
1071	C₄⋊C₄	—	2	8	no	—
1072	C₄⋊C₄	—	2	8	no	—
1073	C₄⋊C₄	—	2	8	no	—
1074	C₄⋊C₄	—	2	8	no	—
1075	C₄⋊C₄	—	4	4	no	—
1076	C₄⋊C₄	—	4	4	no	—
1077	C₄⋊C₄	—	4	4	no	—
1078	C₄⋊C₄	—	4	4	no	—
1079	C₄⋊C₄	—	4	4	no	—
1080	C₄⋊C₄	—	4	4	no	—
1081	C₄⋊C₄	—	4	4	no	—
1082	C₄⋊C₄	—	4	4	no	—
1083	C₄⋊C₄	—	4	4	no	—
1084	C₄⋊C₄	—	4	4	no	—
1085	C₄⋊C₄	—	4	4	no	—
1086	C₄⋊C₄	—	4	4	no	—
1087	C₄⋊C₄	—	4	4	no	—
1088	C₄⋊C₄	—	4	4	no	—
1089	C₄⋊C₄	—	4	4	no	—
1090	C₂²⋊C₄	—	2	8	no	—
1091	C₂²⋊C₄	—	2	4	no	—
1092	C₂²⋊C₄	—	2	4	no	—
1093	C₂²⋊C₄	—	2	8	no	—
1094	C₂²⋊C₄	—	2	8	no	—
1095	C₂²⋊C₄	—	2	8	no	—
1096	C₂²⋊C₄	—	2	8	no	—
1097	C₂²⋊C₄	—	2	8	no	—
1098	C₂²⋊C₄	—	2	8	no	—
1099	C₂²⋊C₄	—	2	8	no	—
1100	C₂²⋊C₄	—	2	8	no	—
1101	C₂²⋊C₄	—	2	4	no	—
1102	C₂²⋊C₄	—	2	4	no	—
1103	C₂²⋊C₄	—	2	4	no	—
1104	C₂²⋊C₄	—	2	8	no	—
1105	C₂²⋊C₄	—	2	4	no	—
1106	C₂²⋊C₄	—	2	4	no	—
1107	C₂²⋊C₄	—	2	8	no	—
1108	C₂²⋊C₄	—	2	8	no	—
1109	C₂²⋊C₄	—	2	8	no	—
1110	C₂²⋊C₄	—	2	4	no	—
1111	C₂²⋊C₄	—	2	4	no	—
1112	C₂²⋊C₄	—	2	4	no	—
1113	C₂²⋊C₄	—	2	4	no	—
1114	C₂²⋊C₄	—	2	4	no	—
1115	C₂²⋊C₄	—	2	4	no	—
1116	C₂²⋊C₄	—	2	8	no	—
1117	C₂²⋊C₄	—	2	8	no	—
1118	C₂²⋊C₄	—	2	4	no	—
1119	C₂²⋊C₄	—	2	4	no	—
1120	C₂²⋊C₄	—	2	4	no	—
1121	C₂²⋊C₄	—	2	4	no	—
1122	C₂²⋊C₄	—	2	8	no	—
1123	C₂²⋊C₄	—	2	8	no	—
1124	C₂²⋊C₄	—	2	8	no	—
1125	C₂²⋊C₄	—	4	4	no	—
1126	C₂²⋊C₄	—	4	4	no	—
1127	C₂²⋊C₄	—	4	4	no	—
1128	C₂²⋊C₄	—	4	4	no	—
1129	C₂²⋊C₄	—	4	4	no	—
1130	C₂²⋊C₄	—	4	2	no	—
1131	C₂²⋊C₄	—	4	4	no	—
1132	C₂²⋊C₄	—	4	2	no	—
1133	C₂²⋊C₄	—	4	4	no	—
1134	C₂²⋊C₄	—	4	4	no	—
1135	C₂²⋊C₄	—	4	4	no	—
1136	C₂²⋊C₄	—	4	4	no	—
1137	C₂²⋊C₄	—	4	4	no	—
1138	C₂²⋊C₄	—	4	4	no	—
1139	C₂²⋊C₄	—	4	4	no	—
1140	C₂²⋊C₄	—	4	4	no	—
1141	C₂²⋊C₄	—	4	4	no	—
1142	C₂²⋊C₄	C₂×#41	1	8	yes	—
1143	C₂²⋊C₄	C₂×#41	1	8	yes	—
1144	C₂²⋊C₄	C₂×#41	1	16	yes	—
1145	C₄²	—	2	8	no	—
1146	C₄²	—	2	4	no	—
1147	C₄²	—	2	8	no	—
1148	C₄²	—	2	8	no	—
1149	C₄²	—	4	4	no	—
1150	C₄²	—	4	4	no	—
1151	C₄²	—	4	4	no	—
1152	C₄²	—	4	4	no	—
1153	C₄²	—	4	2	no	—
1154	C₄²	—	4	2	no	—
1155	C₄²	—	4	4	no	—
1156	C₄²	—	4	2	no	—
1157	C₄²	—	4	2	no	—
1158	C₄²	—	4	4	no	—
1159	C₄²	—	4	4	no	—
1160	C₄²	—	4	4	no	—
1161	C₄²	—	4	2	no	—
1162	C₄²	—	4	2	no	—
1163	C₄²	—	4	4	no	—
1164	C₄²	—	4	4	no	—
1165	C₄²	—	4	4	no	—
1166	C₄²	—	4	4	no	—
1167	C₂³	—	2	2	no	—
1168	C₂³	—	2	2	no	—
1169	C₂³	—	2	2	no	—
1170	C₂³	—	2	2	no	—
1171	C₂³	—	2	16	no	—
1172	C₂³	—	2	8	no	—
1173	C₂³	—	2	8	no	—
1174	C₂³	—	2	2	no	—
1175	C₂³	—	2	2	no	—
1176	C₂³	—	2	2	no	—
1177	C₂³	—	2	2	no	—
1178	C₂³	—	2	2	no	—
1179	C₂³	—	2	2	no	—
1180	C₂³	—	2	4	no	—
1181	C₂³	—	2	4	no	—
1182	C₂³	—	2	4	no	—
1183	C₂³	—	2	4	no	—
1184	C₂³	—	2	2	no	—
1185	C₂³	—	2	8	no	—
1186	C₂³	—	2	8	no	—
1187	C₂³	—	2	16	no	—
1188	C₂³	—	2	4	no	—
1189	C₂³	—	2	2	no	—
1190	C₂³	—	2	4	no	—
1191	C₂³	—	2	2	no	—
1192	C₂³	—	2	2	no	—
1193	C₂³	—	4	4	no	—
1194	C₂³	—	4	16	no	—
1195	C₂³	—	4	16	no	—
1196	C₂³	—	4	16	no	—
1197	C₂³	—	4	16	no	—
1198	C₂³	—	4	8	no	—
1199	C₂³	—	4	8	no	—
1200	C₂³	—	8	8	no	—
1201	C₂³	—	8	4	no	—
1202	C₂³	—	8	4	no	—
1203	C₂³	—	8	8	no	—
1204	C₂³	—	8	8	no	—
1205	C₂³	—	8	2	no	—
1206	C₂³	—	8	2	no	—
1207	C₂³	—	8	2	no	—
1208	C₂³	—	8	2	no	—
1209	C₂³	—	8	64	no	—
1210	C₂³	C₂²×#41	1	4	yes	—
1211	C₂³	C₂²×#41	1	4	yes	—
1212	C₂³	C₂²×#41	1	2	yes	—
1213	C₂³	C₂²×#41	1	4	yes	—
1214	C₂³	C₂²×#41	1	2	yes	—
1215	C₂³	C₂²×#41	1	2	yes	—
1216	C₂³	#585	1	4	yes	—
1217	C₂³	C₂⁶	1	1	yes	characteristic
1218	Q₈	—	4	8	no	—
1219	Q₈	—	8	8	no	—
1220	Q₈	—	8	4	no	—
1221	Q₈	—	8	2	no	—
1222	D₄	—	4	8	no	—
1223	D₄	—	4	8	no	—
1224	D₄	—	8	2	no	—
1225	D₄	—	8	8	no	—
1226	D₄	—	8	8	no	—
1227	D₄	—	8	4	no	—
1228	C₂×C₄	—	2	4	no	—
1229	C₂×C₄	—	2	4	no	—
1230	C₂×C₄	—	2	2	no	—
1231	C₂×C₄	—	2	4	no	—
1232	C₂×C₄	—	2	2	no	—
1233	C₂×C₄	—	2	4	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	2	no	—
1236	C₂×C₄	—	2	4	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	2	no	—
1239	C₂×C₄	—	2	4	no	—
1240	C₂×C₄	—	2	4	no	—
1241	C₂×C₄	—	2	4	no	—
1242	C₂×C₄	—	2	4	no	—
1243	C₂×C₄	—	2	4	no	—
1244	C₂×C₄	—	2	4	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	4	no	—
1248	C₂×C₄	—	2	4	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	4	no	—
1252	C₂×C₄	—	2	4	no	—
1253	C₂×C₄	—	2	4	no	—
1254	C₂×C₄	—	2	4	no	—
1255	C₂×C₄	—	2	4	no	—
1256	C₂×C₄	—	2	4	no	—
1257	C₂×C₄	—	2	4	no	—
1258	C₂×C₄	—	2	4	no	—
1259	C₂×C₄	—	2	4	no	—
1260	C₂×C₄	—	2	4	no	—
1261	C₂×C₄	—	2	4	no	—
1262	C₂×C₄	—	2	4	no	—
1263	C₂×C₄	—	2	4	no	—
1264	C₂×C₄	—	2	4	no	—
1265	C₂×C₄	—	2	4	no	—
1266	C₂×C₄	—	2	2	no	—
1267	C₂×C₄	—	2	4	no	—
1268	C₂×C₄	—	2	4	no	—
1269	C₂×C₄	—	2	4	no	—
1270	C₂×C₄	—	2	2	no	—
1271	C₂×C₄	—	4	16	no	—
1272	C₂×C₄	—	4	4	no	—
1273	C₂×C₄	—	4	4	no	—
1274	C₂×C₄	—	4	4	no	—
1275	C₂×C₄	—	4	4	no	—
1276	C₂×C₄	—	4	4	no	—
1277	C₂×C₄	—	4	4	no	—
1278	C₂×C₄	—	4	16	no	—
1279	C₂×C₄	—	4	16	no	—
1280	C₂×C₄	—	4	8	no	—
1281	C₂×C₄	—	4	8	no	—
1282	C₂×C₄	—	4	8	no	—
1283	C₂×C₄	—	8	8	no	—
1284	C₂×C₄	—	8	8	no	—
1285	C₂×C₄	—	8	8	no	—
1286	C₂×C₄	—	8	8	no	—
1287	C₂×C₄	—	8	8	no	—
1288	C₂×C₄	—	8	4	no	—
1289	C₂×C₄	—	8	2	no	—
1290	C₂×C₄	—	8	2	no	—
1291	C₂×C₄	—	8	4	no	—
1292	C₂×C₄	C₂²×#41	1	8	yes	—
1293	C₂×C₄	C₂²×#41	1	2	yes	—
1294	C₂×C₄	C₂²×#41	1	2	yes	—
1295	C₂×C₄	C₂²×#41	1	2	yes	—
1296	C₂×C₄	C₂²×#41	1	8	yes	—
1297	C₂×C₄	C₂²×#41	1	2	yes	—
1298	C₂²	—	2	8	no	—
1299	C₂²	—	2	8	no	—
1300	C₂²	—	2	2	no	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	2	8	no	—
1305	C₂²	—	2	8	no	—
1306	C₂²	—	2	2	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	4	no	—
1309	C₂²	—	2	4	no	—
1310	C₂²	—	2	2	no	—
1311	C₂²	—	4	16	no	—
1312	C₂²	—	4	32	no	—
1313	C₂²	—	4	4	no	—
1314	C₂²	—	4	4	no	—
1315	C₂²	—	4	4	no	—
1316	C₂²	—	4	2	no	—
1317	C₂²	—	4	2	no	—
1318	C₂²	—	4	2	no	—
1319	C₂²	—	4	2	no	—
1320	C₂²	—	4	4	no	—
1321	C₂²	—	4	4	no	—
1322	C₂²	—	4	2	no	—
1323	C₂²	—	4	2	no	—
1324	C₂²	—	4	2	no	—
1325	C₂²	—	8	16	no	—
1326	C₂²	—	8	8	no	—
1327	C₂²	—	8	8	no	—
1328	C₂²	#3444	1	4	yes	—
1329	C₂²	#3510	1	4	yes	—
1330	C₂²	C₂³×#41	1	2	yes	—
1331	C₂²	C₂³×#41	1	1	yes	characteristic
1332	C₂²	C₂×#585	1	2	yes	—
1333	C₂²	H(7,𝔽₂)	1	2	yes	—
1334	C₄	—	2	8	no	—
1335	C₄	—	2	8	no	—
1336	C₄	—	2	2	no	—
1337	C₄	—	2	2	no	—
1338	C₄	—	2	2	no	—
1339	C₄	—	2	2	no	—
1340	C₄	—	4	4	no	—
1341	C₄	—	4	4	no	—
1342	C₄	—	4	4	no	—
1343	C₄	—	4	4	no	—
1344	C₄	—	4	4	no	—
1345	C₄	—	4	4	no	—
1346	C₄	—	4	2	no	—
1347	C₄	—	4	2	no	—
1348	C₄	—	4	2	no	—
1349	C₄	—	4	2	no	—
1350	C₄	—	4	4	no	—
1351	C₄	—	4	4	no	—
1352	C₄	—	4	2	no	—
1353	C₂	—	2	4	no	—
1354	C₂	—	2	4	no	—
1355	C₂	—	4	4	no	—
1356	C₂	—	4	4	no	—
1357	C₂	—	4	2	no	—
1358	C₂	—	8	2	no	—
1359	C₂	C₂×#3444	1	1	yes	characteristic
1360	C₂	C₂×#3510	1	1	yes	characteristic
1361	C₂	#62844	1	1	yes	characteristic
1362	C₂	#62990	1	4	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#35050	C₂
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. #36521	C₂	semidirect
2. #36204	C₂	semidirect
3. #36169	C₂	semidirect
4. #36158	C₂	semidirect
5. #36013	C₂	semidirect
6. #36012	C₂	semidirect
7. #35967	C₂	semidirect
8. #35954	C₂	semidirect
9. #35706	C₂	semidirect
10. #35705	C₂	semidirect
11. #35504	C₂	semidirect
12. #35488	C₂	semidirect
13. #35439	C₂	semidirect
14. #35408	C₂	semidirect
15. #35379	C₂	semidirect
16. #35085	C₂	semidirect
17. #35055	C₂	semidirect
19. #34958	C₂	semidirect
20. #34849	C₂	semidirect
21. C₂×#2561	C₂	semidirect
22. #34315	C₂	semidirect
23. #34245	C₂	semidirect
24. #34152	C₂	semidirect
25. C₂×#2273	C₂	semidirect
31. #2857	C₂²	semidirect
32. #2855	C₂²	semidirect
33. #2853	C₂²	semidirect
34. #2850	C₂²	semidirect
39. #2665	C₂²	semidirect
40. #2663	C₂²	semidirect
41. #2663	C₂²	semidirect
42. #2653	C₂²	semidirect
43. #2652	C₂²	semidirect
46. #2608	C₂²	semidirect
47. #2607	C₂²	semidirect
48. #2607	C₂²	semidirect
49. #2602	C₂²	semidirect
50. #2597	C₂²	semidirect
51. #2595	C₂²	semidirect
52. #2589	C₂²	semidirect
53. #2578	C₂²	semidirect
54. #2577	C₂²	semidirect
55. #2576	C₂²	semidirect
56. #2576	C₂²	semidirect
57. #2575	C₂²	semidirect
58. #2575	C₂²	semidirect
59. #2575	C₂²	semidirect
60. #2574	C₂²	semidirect
61. #2573	C₂²	semidirect
62. #2573	C₂²	semidirect
63. #2573	C₂²	semidirect
64. #2573	C₂²	semidirect
65. #2572	C₂²	semidirect
66. #2572	C₂²	semidirect
67. #2569	C₂²	semidirect
68. #2569	C₂²	semidirect
69. #2564	C₂²	semidirect
79. #2557	C₂²	semidirect
80. #2557	C₂²	semidirect
81. #2553	C₂²	semidirect
82. #2549	C₂²	semidirect
83. #2549	C₂²	semidirect
87. #2530	C₂²	semidirect
88. #2527	C₂²	semidirect
89. #2527	C₂²	semidirect
90. #2527	C₂²	semidirect
91. #2527	C₂²	semidirect
92. #2526	C₂²	semidirect
93. #2523	C₂²	semidirect
94. #2523	C₂²	semidirect
95. #2521	C₂²	semidirect
96. #2517	C₂²	semidirect
97. #2516	C₂²	semidirect
98. #2516	C₂²	semidirect
99. #2515	C₂²	semidirect
100. #2515	C₂²	semidirect
101. #2510	C₂²	semidirect
102. #2505	C₂²	semidirect
103. #2503	C₂²	semidirect
104. #2501	C₂²	semidirect
105. #2499	C₂²	semidirect
106. #2499	C₂²	semidirect
107. #2496	C₂²	semidirect
108. #2494	C₂²	semidirect
109. #2493	C₂²	semidirect
110. #2493	C₂²	semidirect
111. #2493	C₂²	semidirect
112. #2492	C₂²	semidirect
113. #2488	C₂²	semidirect
114. #2488	C₂²	semidirect
123. #2477	C₂²	semidirect
126. #2470	C₂²	semidirect
127. #2465	C₂²	semidirect
128. #2459	C₂²	semidirect
129. #2458	C₂²	semidirect
130. #2458	C₂²	semidirect
131. #2439	C₂²	semidirect
134. #2436	C₂²	semidirect
135. #2434	C₂²	semidirect
136. #2432	C₂²	semidirect
137. #2421	C₂²	semidirect
138. #2419	C₂²	semidirect
149. #2401	C₂²	semidirect
150. #2398	C₂²	semidirect
151. #2396	C₂²	semidirect
152. #2396	C₂²	semidirect
153. #2395	C₂²	semidirect
156. #2374	C₂²	semidirect
157. #2374	C₂²	semidirect
158. #2374	C₂²	semidirect
159. #2373	C₂²	semidirect
160. #2373	C₂²	semidirect
161. #2368	C₂²	semidirect
162. #2368	C₂²	semidirect
163. #2368	C₂²	semidirect
164. #2368	C₂²	semidirect
165. #2367	C₂²	semidirect
166. #2364	C₂²	semidirect
167. #2364	C₂²	semidirect
168. #2362	C₂²	semidirect
169. #2362	C₂²	semidirect
170. #2359	C₂²	semidirect
173. #2357	C₂²	semidirect
174. #2353	C₂²	semidirect
175. #2347	C₂²	semidirect
176. #2344	C₂²	semidirect
177. #2343	C₂²	semidirect
181. Q₈×C₂²⋊C₄	C₂²	semidirect
182. #2337	C₂²	semidirect
183. #2335	C₂²	semidirect
184. #2334	C₂²	semidirect
185. #2332	C₂²	semidirect
186. #2332	C₂²	semidirect
187. #2332	C₂²	semidirect
188. #2322	C₂²	semidirect
190. #2313	C₂²	semidirect
191. C₄×#126	C₂²	semidirect
192. C₄×C₂²⋊Q₈	C₂²	semidirect
193. C₄×C₂²⋊Q₈	C₂²	semidirect
194. C₄×C₂²⋊Q₈	C₂²	semidirect
195. C₄×#123	C₂²	semidirect
196. C₄×#123	C₂²	semidirect
198. #2298	C₂²	semidirect
199. #2298	C₂²	semidirect
200. #2297	C₂²	semidirect
201. #2290	C₂²	semidirect
202. #2290	C₂²	semidirect
203. #2290	C₂²	semidirect
205. #2283	C₂²	semidirect
210. #2274	C₂²	semidirect
219. C₄²×D₄	C₂²	semidirect
220. C₄²×D₄	C₂²	semidirect
234. C₂×C₄⋊Q₈	C₂³	semidirect
238. C₂×#124	C₂³	semidirect
264. C₂×C₄×Q₈	C₂³	semidirect
265. C₂×C₄×Q₈	C₂³	semidirect
277. C₂×#117	C₂³	semidirect
307. C₂²×C₄²	C₂³	semidirect
308. #401	C₂³	semidirect
309. #401	C₂³	semidirect
310. #400	C₂³	semidirect
311. #400	C₂³	semidirect
312. #400	C₂³	semidirect
313. #400	C₂³	semidirect
314. #400	C₂³	semidirect
315. #400	C₂³	semidirect
316. #400	C₂³	semidirect
317. #400	C₂³	semidirect
318. #400	C₂³	semidirect
319. #400	C₂³	semidirect
320. #400	C₂³	semidirect
325. #399	C₂³	semidirect
326. #398	C₂³	semidirect
327. #398	C₂³	semidirect
328. #398	C₂³	semidirect
347. #397	C₂³	semidirect
348. #397	C₂³	semidirect
349. #397	C₂³	semidirect
356. #395	C₂³	semidirect
357. #395	C₂³	semidirect
376. #393	C₂³	semidirect
377. #393	C₂³	semidirect
380. #391	C₂³	semidirect
381. #391	C₂³	semidirect
382. #391	C₂³	semidirect
383. #391	C₂³	semidirect
384. #391	C₂³	semidirect
385. #391	C₂³	semidirect
386. #391	C₂³	semidirect
387. #391	C₂³	semidirect
388. #391	C₂³	semidirect
389. #391	C₂³	semidirect
390. #391	C₂³	semidirect
391. #391	C₂³	semidirect
396. #390	C₂³	semidirect
397. #389	C₂³	semidirect
398. #389	C₂³	semidirect
399. #389	C₂³	semidirect
400. #389	C₂³	semidirect
401. #389	C₂³	semidirect
402. #389	C₂³	semidirect
403. #389	C₂³	semidirect
432. #388	C₂³	semidirect
433. #388	C₂³	semidirect
434. #388	C₂³	semidirect
435. #388	C₂³	semidirect
436. #388	C₂³	semidirect
437. #388	C₂³	semidirect
438. #388	C₂³	semidirect
439. #388	C₂³	semidirect
440. #388	C₂³	semidirect
441. #388	C₂³	semidirect
442. #388	C₂³	semidirect
443. #388	C₂³	semidirect
444. #387	C₂³	semidirect
445. #387	C₂³	semidirect
446. #387	C₂³	semidirect
447. #387	C₂³	semidirect
448. #387	C₂³	semidirect
449. #387	C₂³	semidirect
450. #387	C₂³	semidirect
451. #387	C₂³	semidirect
452. #387	C₂³	semidirect
453. #387	C₂³	semidirect
454. #387	C₂³	semidirect
455. #387	C₂³	semidirect
456. #387	C₂³	semidirect
457. #387	C₂³	semidirect
458. #387	C₂³	semidirect
459. #387	C₂³	semidirect
460. #387	C₂³	semidirect
461. #387	C₂³	semidirect
462. #387	C₂³	semidirect
463. #387	C₂³	semidirect
464. #387	C₂³	semidirect
465. #387	C₂³	semidirect
466. #387	C₂³	semidirect
467. #387	C₂³	semidirect
468. #387	C₂³	semidirect
469. #387	C₂³	semidirect
470. #387	C₂³	semidirect
471. #387	C₂³	semidirect
472. #387	C₂³	semidirect
473. #387	C₂³	semidirect
474. #387	C₂³	semidirect
475. #387	C₂³	semidirect
476. #387	C₂³	semidirect
477. #387	C₂³	semidirect
494. #386	C₂³	semidirect
515. #385	C₂³	semidirect
516. #385	C₂³	semidirect
517. #385	C₂³	semidirect
518. #384	C₂³	semidirect
519. #383	C₂³	semidirect
520. #383	C₂³	semidirect
521. #383	C₂³	semidirect
522. #383	C₂³	semidirect
523. #382	C₂³	semidirect
524. #382	C₂³	semidirect
525. #382	C₂³	semidirect
526. #382	C₂³	semidirect
540. #381	C₂³	semidirect
561. C₄×C₄⋊C₄	C₂³	semidirect
562. C₄×C₄⋊C₄	C₂³	semidirect
563. C₄×C₄⋊C₄	C₂³	semidirect
564. C₄×C₄⋊C₄	C₂³	semidirect
565. C₄×C₄⋊C₄	C₂³	semidirect
566. C₄×C₄⋊C₄	C₂³	semidirect
567. C₄×C₄⋊C₄	C₂³	semidirect
568. C₄×C₄⋊C₄	C₂³	semidirect
569. C₄×C₄⋊C₄	C₂³	semidirect
570. C₄×C₄⋊C₄	C₂³	semidirect
571. C₄×C₄⋊C₄	C₂³	semidirect
572. C₄×C₄⋊C₄	C₂³	semidirect
573. C₄×C₄⋊C₄	C₂³	semidirect
574. C₄×C₄⋊C₄	C₂³	semidirect
575. C₄×C₄⋊C₄	C₂³	semidirect
576. C₄×C₄⋊C₄	C₂³	semidirect
625. C₄×C₂²⋊C₄	C₂³	semidirect
626. C₄×C₂²⋊C₄	C₂³	semidirect
627. C₄×C₂²⋊C₄	C₂³	semidirect
628. C₄×C₂²⋊C₄	C₂³	semidirect
629. C₄×C₂²⋊C₄	C₂³	semidirect
630. C₄×C₂²⋊C₄	C₂³	semidirect
631. #376	C₂³	semidirect
632. #376	C₂³	semidirect
633. #376	C₂³	semidirect
640. C₄³	C₂³	semidirect
787. C₂×C₂²⋊C₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#36521	2
#36204	2
#36169	2
#36158	2
#36013	2
#36012	2
#35967	2
#35954	2
#35706	2
#35705	2
#35504	2
#35488	2
#35439	2
#35408	2
#35379	2
#35085	2
#35055	2
#35050	2
#34958	2
#34849	2
C₂×#2561	2
#34315	2
#34245	2
#34152	2
C₂×#2273	2