Subgroups — #7631828

Order 512.

5644 conjugacy classes of subgroups.

The subgroup lattice has 1399 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#36330	C₂	1	4	yes	maximal, complemented
2	#36245	C₂	1	4	yes	maximal, complemented
3	#36207	C₂	1	4	yes	maximal, complemented
4	#36158	C₂	1	4	yes	maximal, complemented
5	#36063	C₂	1	2	yes	maximal, complemented
6	#36046	C₂	1	2	yes	maximal, complemented
7	#36013	C₂	1	2	yes	maximal, complemented
8	#36012	C₂	1	2	yes	maximal, complemented
9	#35954	C₂	1	2	yes	maximal, complemented
10	#35851	C₂	1	2	yes	maximal, complemented
11	#35839	C₂	1	2	yes	maximal, complemented
12	#35837	C₂	1	2	yes	maximal, complemented
13	#35505	C₂	1	2	yes	maximal, complemented
14	#35504	C₂	1	2	yes	maximal, complemented
15	#35488	C₂	1	2	yes	maximal, complemented
16	#35474	C₂	1	2	yes	maximal, complemented
17	#35457	C₂	1	4	yes	maximal, complemented
18	#35065	C₂	1	1	yes	maximal, characteristic, complemented
19	#35054	C₂	1	4	yes	maximal, complemented
20	#35050	C₂	1	1	yes	maximal, characteristic
21	#34810	C₂	1	1	yes	maximal, characteristic, complemented
22	#34806	C₂	1	4	yes	maximal, complemented
23	C₂×#2482	C₂	1	1	yes	maximal, characteristic, complemented
24	#34303	C₂	1	4	yes	maximal, complemented
25	#34228	C₂	1	1	yes	maximal, characteristic, complemented
26	#34109	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#2273	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#551	C₂²	1	4	yes	—
29	C₂×#525	C₂²	1	1	yes	characteristic
30	C₂²×#117	C₂²	1	1	yes	characteristic
31	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
32	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
33	#2855	C₂²	1	4	yes	complemented
34	#2852	C₂²	1	4	yes	complemented
35	#2851	C₂²	1	4	yes	complemented
36	#2849	C₂²	1	4	yes	—
37	#2849	C₂²	1	2	yes	—
38	#2848	C₂²	1	4	yes	—
39	#2846	C₂²	1	2	yes	—
40	#2667	C₂²	1	2	yes	complemented
41	#2667	C₂²	1	4	yes	complemented
42	#2665	C₂²	1	2	yes	complemented
43	#2663	C₂²	1	4	yes	complemented
44	#2652	C₂²	1	4	yes	complemented
45	#2649	C₂²	1	4	yes	complemented
46	#2626	C₂²	1	2	yes	—
47	#2617	C₂²	1	2	yes	—
48	#2608	C₂²	1	2	yes	complemented
49	#2607	C₂²	1	2	yes	complemented
50	#2607	C₂²	1	4	yes	complemented
51	#2602	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	#2575	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	#2573	C₂²	1	4	yes	complemented
61	#2573	C₂²	1	4	yes	complemented
62	#2572	C₂²	1	4	yes	complemented
63	#2569	C₂²	1	2	yes	complemented
64	#2561	C₂²	1	4	yes	—
65	#2561	C₂²	1	1	yes	characteristic
66	#2561	C₂²	1	1	yes	characteristic
67	#2560	C₂²	1	4	yes	complemented
68	#2558	C₂²	1	4	yes	complemented
69	#2558	C₂²	1	4	yes	complemented
70	#2557	C₂²	1	4	yes	complemented
71	#2556	C₂²	1	4	yes	complemented
72	#2553	C₂²	1	4	yes	complemented
73	#2553	C₂²	1	4	yes	complemented
74	#2553	C₂²	1	4	yes	complemented
75	#2553	C₂²	1	4	yes	complemented
76	#2549	C₂²	1	2	yes	complemented
77	#2539	C₂²	1	1	yes	characteristic
78	#2539	C₂²	1	1	yes	characteristic
79	#2534	C₂²	1	2	yes	—
80	#2534	C₂²	1	4	yes	—
81	#2534	C₂²	1	2	yes	—
82	#2531	C₂²	1	4	yes	complemented
83	#2530	C₂²	1	4	yes	complemented
84	#2527	C₂²	1	4	yes	complemented
85	#2527	C₂²	1	4	yes	complemented
86	#2527	C₂²	1	4	yes	complemented
87	#2526	C₂²	1	4	yes	complemented
88	#2523	C₂²	1	4	yes	complemented
89	#2522	C₂²	1	4	yes	complemented
90	#2521	C₂²	1	4	yes	complemented
91	#2517	C₂²	1	4	yes	complemented
92	#2517	C₂²	1	4	yes	complemented
93	#2516	C₂²	1	4	yes	complemented
94	#2515	C₂²	1	4	yes	complemented
95	#2515	C₂²	1	4	yes	complemented
96	#2515	C₂²	1	4	yes	complemented
97	#2515	C₂²	1	4	yes	complemented
98	#2510	C₂²	1	4	yes	complemented
99	#2505	C₂²	1	4	yes	complemented
100	#2505	C₂²	1	4	yes	complemented
101	#2504	C₂²	1	1	yes	characteristic, complemented
102	#2503	C₂²	1	1	yes	characteristic, complemented
103	#2502	C₂²	1	1	yes	characteristic, complemented
104	#2501	C₂²	1	1	yes	characteristic, complemented
105	#2500	C₂²	1	2	yes	complemented
106	#2499	C₂²	1	4	yes	complemented
107	#2499	C₂²	1	2	yes	complemented
108	#2498	C₂²	1	2	yes	complemented
109	#2498	C₂²	1	2	yes	complemented
110	#2496	C₂²	1	4	yes	complemented
111	#2495	C₂²	1	4	yes	complemented
112	#2493	C₂²	1	4	yes	complemented
113	#2489	C₂²	1	4	yes	complemented
114	#2488	C₂²	1	4	yes	complemented
115	#2483	C₂²	1	4	yes	—
116	#2482	C₂²	1	1	yes	characteristic
117	#2482	C₂²	1	4	yes	—
118	#2482	C₂²	1	2	yes	—
119	#2482	C₂²	1	4	yes	—
120	#2482	C₂²	1	1	yes	characteristic
121	#2482	C₂²	1	2	yes	—
122	#2482	C₂²	1	2	yes	—
123	#2482	C₂²	1	1	yes	characteristic
124	#2482	C₂²	1	1	yes	characteristic
125	#2482	C₂²	1	2	yes	—
126	#2482	C₂²	1	2	yes	—
127	#2481	C₂²	1	4	yes	complemented
128	#2480	C₂²	1	4	yes	—
129	#2480	C₂²	1	4	yes	—
130	#2480	C₂²	1	4	yes	—
131	#2480	C₂²	1	4	yes	—
132	#2473	C₂²	1	4	yes	complemented
133	#2472	C₂²	1	4	yes	—
134	#2472	C₂²	1	4	yes	—
135	#2471	C₂²	1	4	yes	complemented
136	#2470	C₂²	1	4	yes	complemented
137	#2467	C₂²	1	4	yes	complemented
138	#2458	C₂²	1	4	yes	complemented
139	#2450	C₂²	1	4	yes	complemented
140	#2441	C₂²	1	4	yes	complemented
141	#2438	C₂²	1	4	yes	complemented
142	#2437	C₂²	1	4	yes	—
143	#2437	C₂²	1	4	yes	—
144	#2423	C₂²	1	4	yes	complemented
145	#2418	C₂²	1	4	yes	—
146	#2418	C₂²	1	4	yes	—
147	#2412	C₂²	1	4	yes	—
148	#2412	C₂²	1	4	yes	—
149	#2412	C₂²	1	4	yes	—
150	#2411	C₂²	1	4	yes	—
151	#2411	C₂²	1	4	yes	—
152	#2404	C₂²	1	2	yes	—
153	#2401	C₂²	1	4	yes	complemented
154	#2396	C₂²	1	4	yes	complemented
155	#2395	C₂²	1	2	yes	complemented
156	#2395	C₂²	1	4	yes	complemented
157	#2395	C₂²	1	2	yes	complemented
158	#2395	C₂²	1	4	yes	complemented
159	C₂×#399	C₂²	1	2	yes	—
160	C₂×#397	C₂²	1	2	yes	—
161	#2374	C₂²	1	4	yes	complemented
162	#2373	C₂²	1	4	yes	complemented
163	#2373	C₂²	1	4	yes	complemented
164	#2372	C₂²	1	4	yes	complemented
165	#2368	C₂²	1	2	yes	complemented
166	#2364	C₂²	1	2	yes	complemented
167	#2362	C₂²	1	4	yes	complemented
168	#2360	C₂²	1	4	yes	complemented
169	#2359	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	2	yes	complemented
174	#2353	C₂²	1	2	yes	complemented
175	#2353	C₂²	1	4	yes	complemented
176	#2352	C₂²	1	4	yes	complemented
177	#2347	C₂²	1	2	yes	complemented
178	#2346	C₂²	1	2	yes	complemented
179	#2346	C₂²	1	4	yes	complemented
180	#2345	C₂²	1	2	yes	complemented
181	#2344	C₂²	1	2	yes	complemented
182	#2343	C₂²	1	4	yes	complemented
183	#2343	C₂²	1	2	yes	complemented
184	#2343	C₂²	1	4	yes	complemented
185	#2342	C₂²	1	4	yes	—
186	#2342	C₂²	1	4	yes	—
187	#2342	C₂²	1	4	yes	—
188	#2339	C₂²	1	2	yes	complemented
189	#2335	C₂²	1	4	yes	complemented
190	#2335	C₂²	1	4	yes	complemented
191	#2334	C₂²	1	4	yes	complemented
192	#2333	C₂²	1	2	yes	complemented
193	#2332	C₂²	1	2	yes	complemented
194	#2332	C₂²	1	4	yes	complemented
195	#2329	C₂²	1	4	yes	complemented
196	#2321	C₂²	1	4	yes	—
197	#2318	C₂²	1	2	yes	complemented
198	C₄×#126	C₂²	1	4	yes	complemented
199	C₄×#124	C₂²	1	4	yes	complemented
200	C₄×C₂²⋊Q₈	C₂²	1	4	yes	complemented
201	C₄×#123	C₂²	1	4	yes	complemented
202	C₄×#123	C₂²	1	4	yes	complemented
203	C₄×#120	C₂²	1	4	yes	—
204	#2298	C₂²	1	2	yes	complemented
205	#2298	C₂²	1	2	yes	complemented
206	#2298	C₂²	1	4	yes	complemented
207	#2297	C₂²	1	2	yes	complemented
208	#2296	C₂²	1	2	yes	complemented
209	#2293	C₂²	1	4	yes	complemented
210	#2290	C₂²	1	4	yes	complemented
211	C₂×#388	C₂²	1	4	yes	—
212	C₂×#385	C₂²	1	2	yes	—
213	#2285	C₂²	1	2	yes	complemented
214	#2283	C₂²	1	2	yes	complemented
215	#2280	C₂²	1	1	yes	characteristic
216	#2280	C₂²	1	4	yes	—
217	C₂×#381	C₂²	1	1	yes	characteristic
218	C₂×#379	C₂²	1	2	yes	—
219	#2275	C₂²	1	2	yes	complemented
220	#2273	C₂²	1	2	yes	—
221	#2273	C₂²	1	2	yes	—
222	#2273	C₂²	1	2	yes	—
223	#2273	C₂²	1	2	yes	—
224	#2273	C₂²	1	2	yes	—
225	#2273	C₂²	1	2	yes	—
226	#2273	C₂²	1	2	yes	—
227	#2273	C₂²	1	2	yes	—
228	C₄×#117	C₂²	1	2	yes	complemented
229	C₄×#117	C₂²	1	2	yes	complemented
230	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
231	C₂×C₄×C₂²⋊C₄	C₂²	1	4	yes	—
232	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
233	C₂×C₄×C₂²⋊C₄	C₂²	1	4	yes	—
234	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
235	C₂⁶	C₂³	1	1	yes	characteristic
236	C₂²×#41	C₂³	1	1	yes	characteristic
237	C₂⁴×C₄	C₂³	1	4	yes	—
238	C₂⁴×C₄	C₂³	1	1	yes	characteristic
239	C₂⁴×C₄	C₂³	1	1	yes	characteristic
240	#551	—	2	32	no	—
241	C₂×#126	C₂³	1	4	yes	—
242	C₂×#126	C₂³	1	4	yes	—
243	C₂×#126	C₂³	1	4	yes	complemented
244	C₂×#125	C₂³	1	4	yes	complemented
245	C₂×#124	C₂³	1	4	yes	—
246	#525	—	2	8	no	—
247	C₂×#123	C₂³	1	4	yes	—
248	C₂×#123	C₂³	1	4	yes	—
249	C₂×#123	C₂³	1	4	yes	—
250	C₂×#123	C₂³	1	2	yes	—
251	C₂×#123	C₂³	1	4	yes	—
252	C₂×#123	C₂³	1	2	yes	—
253	C₂×#123	C₂³	1	2	yes	—
254	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
256	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
257	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
259	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
260	C₂×#121	C₂³	1	1	yes	characteristic
261	C₂×#121	C₂³	1	1	yes	characteristic
262	C₂×#120	C₂³	1	4	yes	—
263	C₂×#120	C₂³	1	2	yes	—
264	C₂×#120	C₂³	1	4	yes	—
265	C₂×#120	C₂³	1	2	yes	—
266	C₂×#120	C₂³	1	2	yes	—
267	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
268	C₂×C₄×D₄	C₂³	1	2	yes	—
269	C₂×C₄×D₄	C₂³	1	4	yes	—
270	C₂×C₄×D₄	C₂³	1	4	yes	—
271	C₂×C₄×D₄	C₂³	1	2	yes	—
272	C₂×C₄×D₄	C₂³	1	4	yes	—
273	C₂×C₄×D₄	C₂³	1	4	yes	—
274	C₂×#117	—	2	8	no	—
275	C₂×#117	C₂³	1	4	yes	—
276	C₂×#117	C₂³	1	2	yes	—
277	C₂×#117	C₂³	1	1	yes	characteristic
278	C₂×#117	C₂³	1	1	yes	characteristic
279	C₂×#117	C₂³	1	4	yes	—
280	C₂×#117	C₂³	1	1	yes	characteristic
281	C₂×#117	C₂³	1	1	yes	characteristic
282	C₂×#117	C₂³	1	1	yes	characteristic
283	C₂×#117	C₂³	1	2	yes	—
284	C₂×#117	C₂³	1	2	yes	—
285	C₂×#117	C₂³	1	4	yes	—
286	C₂×#117	C₂³	1	4	yes	complemented
287	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
290	C₂²×C₂²⋊C₄	—	2	8	no	—
291	C₂²×C₂²⋊C₄	—	2	16	no	—
292	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
293	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
299	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
300	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
301	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
302	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
303	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
304	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
305	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
306	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
307	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
308	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
311	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
312	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
313	C₂²×C₄²	C₂³	1	2	yes	—
314	C₂²×C₄²	C₂³	1	2	yes	—
315	C₂²×C₄²	C₂³	1	2	yes	—
316	C₂²×C₄²	C₂³	1	4	yes	—
317	#401	C₂³	1	4	yes	complemented
318	#400	C₂³	1	4	yes	complemented
319	#400	C₂³	1	4	yes	complemented
320	#400	C₂³	1	2	yes	complemented
321	#400	C₂³	1	4	yes	complemented
322	#400	C₂³	1	4	yes	complemented
323	#400	C₂³	1	4	yes	complemented
324	#400	C₂³	1	4	yes	complemented
325	#400	C₂³	1	4	yes	complemented
326	#400	C₂³	1	4	yes	complemented
327	#400	C₂³	1	2	yes	complemented
328	#400	C₂³	1	4	yes	complemented
329	#399	C₂³	1	2	yes	—
330	#399	C₂³	1	4	yes	—
331	#399	C₂³	1	4	yes	—
332	#399	C₂³	1	4	yes	—
333	#399	C₂³	1	4	yes	—
334	#399	C₂³	1	2	yes	—
335	#399	C₂³	1	2	yes	—
336	#399	C₂³	1	2	yes	—
337	#399	C₂³	1	2	yes	—
338	#399	C₂³	1	2	yes	—
339	#399	C₂³	1	2	yes	complemented
340	#399	C₂³	1	2	yes	complemented
341	#398	C₂³	1	4	yes	complemented
342	#398	C₂³	1	4	yes	complemented
343	#398	C₂³	1	4	yes	complemented
344	#398	C₂³	1	2	yes	complemented
345	#398	C₂³	1	4	yes	complemented
346	#398	C₂³	1	2	yes	complemented
347	#398	C₂³	1	4	yes	complemented
348	#397	C₂³	1	4	yes	—
349	#397	C₂³	1	4	yes	—
350	#397	C₂³	1	2	yes	—
351	#397	C₂³	1	4	yes	—
352	#397	C₂³	1	2	yes	—
353	#397	C₂³	1	2	yes	—
354	#397	C₂³	1	4	yes	—
355	#397	C₂³	1	4	yes	—
356	#397	C₂³	1	4	yes	—
357	#397	C₂³	1	4	yes	—
358	#397	C₂³	1	2	yes	—
359	#397	C₂³	1	2	yes	—
360	#397	C₂³	1	2	yes	—
361	#397	C₂³	1	4	yes	—
362	#397	C₂³	1	4	yes	—
363	#397	C₂³	1	4	yes	—
364	#397	C₂³	1	4	yes	—
365	#397	C₂³	1	4	yes	—
366	#397	C₂³	1	4	yes	complemented
367	#397	C₂³	1	2	yes	complemented
368	#397	C₂³	1	2	yes	complemented
369	#397	C₂³	1	4	yes	complemented
370	#396	C₂³	1	4	yes	—
371	#396	C₂³	1	4	yes	—
372	#396	C₂³	1	4	yes	—
373	#396	C₂³	1	4	yes	—
374	#396	C₂³	1	4	yes	—
375	#396	C₂³	1	4	yes	—
376	#396	C₂³	1	4	yes	complemented
377	#395	C₂³	1	4	yes	complemented
378	#394	C₂³	1	4	yes	—
379	#394	C₂³	1	4	yes	—
380	#394	C₂³	1	4	yes	—
381	#394	C₂³	1	4	yes	—
382	#394	C₂³	1	4	yes	—
383	#394	C₂³	1	4	yes	—
384	#394	C₂³	1	4	yes	—
385	#394	C₂³	1	4	yes	—
386	#393	C₂³	1	4	yes	—
387	#393	C₂³	1	2	yes	—
388	#393	C₂³	1	2	yes	—
389	#393	C₂³	1	4	yes	—
390	#393	C₂³	1	4	yes	complemented
391	#392	C₂³	1	2	yes	—
392	#392	C₂³	1	2	yes	—
393	#391	C₂³	1	4	yes	complemented
394	#391	C₂³	1	4	yes	complemented
395	#391	C₂³	1	4	yes	complemented
396	#391	C₂³	1	4	yes	complemented
397	#391	C₂³	1	2	yes	complemented
398	#391	C₂³	1	4	yes	complemented
399	#391	C₂³	1	4	yes	complemented
400	#391	C₂³	1	2	yes	complemented
401	#390	C₂³	1	4	yes	—
402	#390	C₂³	1	4	yes	—
403	#390	C₂³	1	4	yes	—
404	#390	C₂³	1	4	yes	—
405	#390	C₂³	1	2	yes	complemented
406	#390	C₂³	1	2	yes	complemented
407	#389	C₂³	1	4	yes	complemented
408	#389	C₂³	1	4	yes	complemented
409	#389	C₂³	1	4	yes	complemented
410	#389	C₂³	1	4	yes	complemented
411	#389	C₂³	1	4	yes	complemented
412	#389	C₂³	1	4	yes	complemented
413	#389	C₂³	1	4	yes	complemented
414	#389	C₂³	1	4	yes	complemented
415	#389	C₂³	1	4	yes	complemented
416	#389	C₂³	1	4	yes	complemented
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	—
433	#388	C₂³	1	4	yes	—
434	#388	C₂³	1	4	yes	—
435	#388	C₂³	1	4	yes	—
436	#388	C₂³	1	4	yes	—
437	#388	C₂³	1	4	yes	—
438	#388	C₂³	1	4	yes	—
439	#388	C₂³	1	4	yes	—
440	#388	C₂³	1	4	yes	—
441	#388	C₂³	1	4	yes	—
442	#388	C₂³	1	4	yes	—
443	#388	C₂³	1	4	yes	—
444	#388	C₂³	1	4	yes	—
445	#388	C₂³	1	4	yes	complemented
446	#388	C₂³	1	4	yes	complemented
447	#388	C₂³	1	4	yes	complemented
448	#388	C₂³	1	4	yes	complemented
449	#388	C₂³	1	4	yes	complemented
450	#388	C₂³	1	4	yes	complemented
451	#388	C₂³	1	4	yes	complemented
452	#388	C₂³	1	4	yes	complemented
453	#388	C₂³	1	4	yes	complemented
454	#388	C₂³	1	4	yes	complemented
455	#388	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	#387	C₂³	1	4	yes	complemented
479	#387	C₂³	1	4	yes	complemented
480	#387	C₂³	1	4	yes	complemented
481	#387	C₂³	1	4	yes	complemented
482	#387	C₂³	1	4	yes	complemented
483	#387	C₂³	1	4	yes	complemented
484	#387	C₂³	1	4	yes	complemented
485	#387	C₂³	1	4	yes	complemented
486	#387	C₂³	1	4	yes	complemented
487	#387	C₂³	1	4	yes	complemented
488	#387	C₂³	1	4	yes	complemented
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	—
495	#386	C₂³	1	4	yes	—
496	#386	C₂³	1	4	yes	—
497	#386	C₂³	1	4	yes	—
498	#386	C₂³	1	4	yes	—
499	#386	C₂³	1	4	yes	—
500	#386	C₂³	1	4	yes	—
501	#386	C₂³	1	4	yes	—
502	#386	C₂³	1	4	yes	—
503	#386	C₂³	1	4	yes	—
504	#386	C₂³	1	4	yes	complemented
505	#385	C₂³	1	4	yes	—
506	#385	C₂³	1	2	yes	—
507	#385	C₂³	1	4	yes	—
508	#385	C₂³	1	4	yes	—
509	#385	C₂³	1	4	yes	—
510	#385	C₂³	1	2	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	—
516	#385	C₂³	1	4	yes	—
517	#385	C₂³	1	4	yes	—
518	#385	C₂³	1	4	yes	—
519	#385	C₂³	1	4	yes	—
520	#385	C₂³	1	4	yes	—
521	#385	C₂³	1	4	yes	—
522	#385	C₂³	1	4	yes	—
523	#385	C₂³	1	4	yes	—
524	#385	C₂³	1	4	yes	—
525	#385	C₂³	1	4	yes	—
526	#385	C₂³	1	4	yes	—
527	#385	C₂³	1	2	yes	—
528	#385	C₂³	1	2	yes	—
529	#385	C₂³	1	4	yes	—
530	#385	C₂³	1	4	yes	complemented
531	#384	C₂³	1	2	yes	complemented
532	#384	C₂³	1	2	yes	complemented
533	#383	C₂³	1	4	yes	complemented
534	#383	C₂³	1	4	yes	complemented
535	#383	C₂³	1	4	yes	complemented
536	#383	C₂³	1	2	yes	complemented
537	#382	C₂³	1	2	yes	complemented
538	#382	C₂³	1	4	yes	complemented
539	#382	C₂³	1	2	yes	complemented
540	#382	C₂³	1	2	yes	complemented
541	#382	C₂³	1	4	yes	complemented
542	#382	C₂³	1	4	yes	complemented
543	#382	C₂³	1	4	yes	complemented
544	#381	C₂³	1	4	yes	—
545	#381	C₂³	1	2	yes	—
546	#381	C₂³	1	2	yes	—
547	#381	C₂³	1	4	yes	—
548	#381	C₂³	1	4	yes	—
549	#381	C₂³	1	2	yes	—
550	#381	C₂³	1	4	yes	—
551	#381	C₂³	1	2	yes	—
552	#381	C₂³	1	4	yes	—
553	#381	C₂³	1	4	yes	—
554	#381	C₂³	1	2	yes	—
555	#381	C₂³	1	1	yes	characteristic
556	#381	C₂³	1	1	yes	characteristic
557	#381	C₂³	1	2	yes	—
558	#381	C₂³	1	2	yes	complemented
559	#380	C₂³	1	4	yes	—
560	#380	C₂³	1	2	yes	—
561	#380	C₂³	1	4	yes	—
562	#380	C₂³	1	4	yes	—
563	#380	C₂³	1	4	yes	—
564	#380	C₂³	1	4	yes	—
565	#380	C₂³	1	4	yes	—
566	#380	C₂³	1	2	yes	—
567	#380	C₂³	1	4	yes	—
568	#380	C₂³	1	4	yes	—
569	#380	C₂³	1	4	yes	—
570	#380	C₂³	1	2	yes	complemented
571	#380	C₂³	1	4	yes	complemented
572	#379	C₂³	1	2	yes	—
573	#379	C₂³	1	2	yes	—
574	#379	C₂³	1	2	yes	—
575	#379	C₂³	1	4	yes	—
576	#379	C₂³	1	4	yes	—
577	#379	C₂³	1	2	yes	—
578	#379	C₂³	1	4	yes	—
579	#379	C₂³	1	2	yes	—
580	#379	C₂³	1	2	yes	—
581	#379	C₂³	1	4	yes	—
582	#379	C₂³	1	2	yes	—
583	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
584	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
585	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
586	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
587	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
588	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
589	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
590	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
591	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
592	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
593	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
594	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
595	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
596	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
597	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
598	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
599	C₄×C₂²⋊C₄	C₂³	1	4	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	1	yes	characteristic
605	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
606	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
607	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
609	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
610	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
611	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
615	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
616	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
617	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
618	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
619	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
620	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
621	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
622	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
623	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
624	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
625	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
626	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
627	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
628	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
629	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
630	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
631	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
632	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
633	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
634	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
635	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
636	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
637	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
638	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
639	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
640	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
641	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
642	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
643	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
644	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
645	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
646	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
647	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
648	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
649	#376	C₂³	1	4	yes	complemented
650	#376	C₂³	1	2	yes	complemented
651	#376	C₂³	1	4	yes	complemented
652	#376	C₂³	1	2	yes	complemented
653	#376	C₂³	1	2	yes	complemented
654	C₂×#95	C₂³	1	2	yes	—
655	C₂×#95	C₂³	1	2	yes	—
656	C₂×#95	C₂³	1	2	yes	—
657	C₂×#95	C₂³	1	4	yes	—
658	C₂×#95	C₂³	1	2	yes	—
659	C₂×#95	C₂³	1	4	yes	—
660	C₂×#95	C₂³	1	2	yes	complemented
661	C₄³	C₂³	1	2	yes	complemented
662	C₄³	C₂³	1	2	yes	complemented
663	C₂⁵	—	2	8	no	—
664	C₂⁵	—	2	4	no	—
665	C₂⁵	—	4	4	no	—
666	C₂⁵	—	8	2	no	—
667	C₂⁵	C₂⁴	1	2	yes	—
668	C₂⁵	C₂⁴	1	1	yes	characteristic
669	C₂⁵	C₂⁴	1	1	yes	characteristic
670	C₂⁵	C₂⁴	1	1	yes	characteristic
671	C₂⁵	C₂⁴	1	2	yes	—
672	C₂×#41	—	2	4	no	—
673	C₂×#41	—	4	4	no	—
674	C₂²×Q₈	C₂⁴	1	4	yes	—
675	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
676	C₂²×D₄	C₂⁴	1	2	yes	—
677	C₂²×D₄	C₂⁴	1	2	yes	—
678	C₂²×D₄	C₂⁴	1	2	yes	—
679	C₂²×D₄	C₂⁴	1	4	yes	—
680	C₂²×D₄	C₂⁴	1	4	yes	—
681	C₂²×D₄	C₂⁴	1	1	yes	characteristic
682	C₂³×C₄	—	2	4	no	—
683	C₂³×C₄	—	2	16	no	—
684	C₂³×C₄	—	4	4	no	—
685	C₂³×C₄	—	4	8	no	—
686	C₂³×C₄	—	8	4	no	—
687	C₂³×C₄	—	8	2	no	—
688	C₂³×C₄	#41	1	8	yes	—
689	C₂³×C₄	C₂⁴	1	2	yes	—
690	C₂³×C₄	C₂⁴	1	4	yes	—
691	C₂³×C₄	C₂⁴	1	4	yes	—
692	C₂³×C₄	C₂⁴	1	1	yes	characteristic
693	C₂³×C₄	C₂⁴	1	1	yes	characteristic
694	C₂³×C₄	C₂⁴	1	2	yes	—
695	C₂³×C₄	C₂⁴	1	4	yes	—
696	C₂³×C₄	C₂⁴	1	2	yes	—
697	C₂³×C₄	C₂⁴	1	4	yes	—
698	C₂³×C₄	C₂⁴	1	4	yes	—
699	C₂³×C₄	C₂⁴	1	1	yes	characteristic
700	C₂³×C₄	C₂⁴	1	1	yes	characteristic
701	C₂³×C₄	C₂⁴	1	4	yes	—
702	C₂³×C₄	C₂⁴	1	2	yes	—
703	C₂³×C₄	C₂⁴	1	4	yes	—
704	C₂³×C₄	C₂⁴	1	2	yes	—
705	C₂³×C₄	C₂⁴	1	1	yes	characteristic
706	C₂³×C₄	C₂⁴	1	1	yes	characteristic
707	C₂³×C₄	C₂⁴	1	4	yes	—
708	C₂³×C₄	C₂⁴	1	1	yes	characteristic
709	C₂³×C₄	C₂⁴	1	1	yes	characteristic
710	#126	—	2	16	no	—
711	#126	—	2	16	no	—
712	#126	—	8	4	no	—
713	#125	—	8	4	no	—
714	#124	—	2	16	no	—
715	#123	—	2	8	no	—
716	#123	—	2	16	no	—
717	#123	—	2	16	no	—
718	#123	—	2	16	no	—
719	#123	—	8	4	no	—
720	#123	—	8	2	no	—
721	#123	—	8	2	no	—
722	C₂²⋊Q₈	—	2	4	no	—
723	C₂²⋊Q₈	—	2	4	no	—
724	C₂²⋊Q₈	—	2	16	no	—
725	C₂²⋊Q₈	—	2	16	no	—
726	C₂²⋊Q₈	—	4	8	no	—
727	C₂²⋊Q₈	—	8	4	no	—
728	#121	—	2	4	no	—
729	#121	—	2	4	no	—
730	#120	—	2	8	no	—
731	#120	—	2	16	no	—
732	#120	—	4	8	no	—
733	#120	—	8	2	no	—
734	#120	—	8	2	no	—
735	C₄×Q₈	—	8	4	no	—
736	C₄×D₄	—	2	8	no	—
737	C₄×D₄	—	2	8	no	—
738	C₄×D₄	—	2	16	no	—
739	C₄×D₄	—	2	16	no	—
740	C₄×D₄	—	4	8	no	—
741	C₄×D₄	—	8	4	no	—
742	#117	—	2	8	no	—
743	#117	—	2	4	no	—
744	#117	—	2	4	no	—
745	#117	—	2	4	no	—
746	#117	—	2	4	no	—
747	#117	—	2	8	no	—
748	#117	—	2	4	no	—
749	#117	—	2	16	no	—
750	#117	—	2	16	no	—
751	#117	—	4	4	no	—
752	#117	—	8	4	no	—
753	#117	—	8	4	no	—
754	C₂×C₄⋊C₄	—	2	4	no	—
755	C₂×C₄⋊C₄	—	2	4	no	—
756	C₂×C₄⋊C₄	—	8	4	no	—
757	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
758	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
760	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
761	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
762	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
763	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
764	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
766	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
768	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
770	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
771	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
773	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
777	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
778	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
779	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
780	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
781	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
782	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
783	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
784	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
785	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
786	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
787	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
789	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
790	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
791	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	—	2	8	no	—
795	C₂×C₂²⋊C₄	—	2	8	no	—
796	C₂×C₂²⋊C₄	—	2	16	no	—
797	C₂×C₂²⋊C₄	—	2	8	no	—
798	C₂×C₂²⋊C₄	—	2	8	no	—
799	C₂×C₂²⋊C₄	—	2	8	no	—
800	C₂×C₂²⋊C₄	—	2	8	no	—
801	C₂×C₂²⋊C₄	—	2	4	no	—
802	C₂×C₂²⋊C₄	—	2	4	no	—
803	C₂×C₂²⋊C₄	—	2	4	no	—
804	C₂×C₂²⋊C₄	—	2	4	no	—
805	C₂×C₂²⋊C₄	—	2	16	no	—
806	C₂×C₂²⋊C₄	—	2	8	no	—
807	C₂×C₂²⋊C₄	—	2	8	no	—
808	C₂×C₂²⋊C₄	—	2	8	no	—
809	C₂×C₂²⋊C₄	—	2	8	no	—
810	C₂×C₂²⋊C₄	—	2	16	no	—
811	C₂×C₂²⋊C₄	—	2	16	no	—
812	C₂×C₂²⋊C₄	—	4	4	no	—
813	C₂×C₂²⋊C₄	—	8	4	no	—
814	C₂×C₂²⋊C₄	#41	1	16	yes	complemented
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	2	yes	—
819	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
825	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
872	C₂×C₄²	—	2	8	no	—
873	C₂×C₄²	—	4	4	no	—
874	C₂×C₄²	—	4	4	no	—
875	C₂×C₄²	—	8	4	no	—
876	C₂×C₄²	C₂⁴	1	4	yes	—
877	C₂×C₄²	C₂⁴	1	2	yes	—
878	C₂×C₄²	C₂⁴	1	2	yes	—
879	C₂×C₄²	C₂⁴	1	2	yes	—
880	C₂×C₄²	C₂⁴	1	2	yes	—
881	C₂×C₄²	C₂⁴	1	2	yes	—
882	C₂×C₄²	C₂⁴	1	4	yes	—
883	C₂×C₄²	C₂⁴	1	4	yes	—
884	C₂×C₄²	C₂⁴	1	4	yes	—
885	C₂×C₄²	C₂⁴	1	4	yes	—
886	C₂×C₄²	C₂⁴	1	2	yes	—
887	C₂×C₄²	C₂⁴	1	2	yes	—
888	C₂×C₄²	C₂⁴	1	4	yes	—
889	C₂×C₄²	C₂⁴	1	4	yes	—
890	C₂×C₄²	C₂⁴	1	4	yes	—
891	C₂×C₄²	C₂⁴	1	4	yes	—
892	C₂×C₄²	C₂⁴	1	4	yes	—
893	C₂×C₄²	C₂⁴	1	4	yes	—
894	C₂×C₄²	C₂⁴	1	2	yes	—
895	C₂×C₄²	C₂⁴	1	2	yes	—
896	C₂×C₄²	C₂⁴	1	4	yes	—
897	C₂×C₄²	C₂⁴	1	4	yes	—
898	C₂×C₄²	C₂⁴	1	2	yes	—
899	C₂×C₄²	C₂⁴	1	2	yes	—
900	#95	C₂⁴	1	2	yes	—
901	#95	C₂⁴	1	2	yes	—
902	#95	C₂⁴	1	4	yes	—
903	#95	C₂⁴	1	2	yes	—
904	#95	C₂⁴	1	4	yes	—
905	#95	C₂⁴	1	4	yes	—
906	#95	C₂⁴	1	4	yes	—
907	#95	C₂⁴	1	4	yes	—
908	#95	C₂⁴	1	4	yes	—
909	#95	C₂⁴	1	2	yes	—
910	#95	C₂⁴	1	4	yes	—
911	#95	C₂⁴	1	2	yes	—
912	#95	C₂⁴	1	2	yes	—
913	#95	C₂⁴	1	2	yes	—
914	#95	C₂⁴	1	4	yes	—
915	#95	C₂⁴	1	4	yes	—
916	#95	C₂⁴	1	2	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	#95	C₂⁴	1	4	yes	—
928	#95	C₂⁴	1	4	yes	—
929	#95	C₂⁴	1	4	yes	—
930	#95	C₂⁴	1	4	yes	—
931	#95	C₂⁴	1	4	yes	—
932	#95	C₂⁴	1	4	yes	—
933	#95	C₂⁴	1	4	yes	—
934	#95	C₂⁴	1	4	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	4	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	2	yes	—
940	#95	C₂⁴	1	2	yes	—
941	#95	C₂⁴	1	4	yes	—
942	#95	C₂⁴	1	4	yes	—
943	#95	C₂⁴	1	4	yes	—
944	#95	C₂⁴	1	4	yes	—
945	#95	C₂⁴	1	4	yes	—
946	#95	C₂⁴	1	4	yes	—
947	#95	C₂⁴	1	4	yes	—
948	#95	C₂⁴	1	4	yes	—
949	#95	C₂⁴	1	4	yes	—
950	#95	C₂⁴	1	4	yes	—
951	#95	C₂⁴	1	4	yes	—
952	#95	C₂⁴	1	4	yes	—
953	#95	C₂⁴	1	4	yes	—
954	#95	C₂⁴	1	4	yes	—
955	C₂⁴	—	2	32	no	—
956	C₂⁴	—	2	4	no	—
957	C₂⁴	—	2	4	no	—
958	C₂⁴	—	2	4	no	—
959	C₂⁴	—	2	4	no	—
960	C₂⁴	—	2	4	no	—
961	C₂⁴	—	2	4	no	—
962	C₂⁴	—	2	2	no	—
963	C₂⁴	—	2	2	no	—
964	C₂⁴	—	2	4	no	—
965	C₂⁴	—	2	4	no	—
966	C₂⁴	—	2	4	no	—
967	C₂⁴	—	2	8	no	—
968	C₂⁴	—	4	2	no	—
969	C₂⁴	—	4	4	no	—
970	C₂⁴	—	4	4	no	—
971	C₂⁴	—	4	4	no	—
972	C₂⁴	—	4	2	no	—
973	C₂⁴	—	4	2	no	—
974	C₂⁴	—	4	2	no	—
975	C₂⁴	—	4	2	no	—
976	C₂⁴	—	8	8	no	—
977	C₂⁴	—	8	32	no	—
978	C₂⁴	—	8	8	no	—
979	C₂⁴	C₂×#41	1	4	yes	—
980	C₂⁴	C₂×#41	1	8	yes	—
981	C₂⁴	C₂⁵	1	2	yes	—
982	C₂⁴	C₂⁵	1	1	yes	characteristic
983	C₂⁴	C₂⁵	1	2	yes	—
984	C₂⁴	C₂⁵	1	2	yes	—
985	C₂⁴	C₂⁵	1	1	yes	characteristic
986	C₂⁴	C₂⁵	1	1	yes	characteristic
987	#41	—	8	8	no	—
988	C₂×Q₈	—	2	8	no	—
989	C₂×Q₈	—	2	2	no	—
990	C₂×Q₈	—	4	4	no	—
991	C₂×Q₈	—	4	4	no	—
992	C₂×Q₈	—	4	2	no	—
993	C₂×D₄	—	2	4	no	—
994	C₂×D₄	—	2	8	no	—
995	C₂×D₄	—	2	4	no	—
996	C₂×D₄	—	2	8	no	—
997	C₂×D₄	—	2	4	no	—
998	C₂×D₄	—	2	8	no	—
999	C₂×D₄	—	2	8	no	—
1000	C₂×D₄	—	2	2	no	—
1001	C₂×D₄	—	4	4	no	—
1002	C₂×D₄	—	4	4	no	—
1003	C₂×D₄	—	4	4	no	—
1004	C₂×D₄	—	4	2	no	—
1005	C₂×D₄	—	4	4	no	—
1006	C₂×D₄	—	4	2	no	—
1007	C₂×D₄	—	4	2	no	—
1008	C₂²×C₄	—	2	4	no	—
1009	C₂²×C₄	—	2	4	no	—
1010	C₂²×C₄	—	2	4	no	—
1011	C₂²×C₄	—	2	4	no	—
1012	C₂²×C₄	—	2	8	no	—
1013	C₂²×C₄	—	2	8	no	—
1014	C₂²×C₄	—	2	8	no	—
1015	C₂²×C₄	—	2	4	no	—
1016	C₂²×C₄	—	2	8	no	—
1017	C₂²×C₄	—	2	2	no	—
1018	C₂²×C₄	—	2	2	no	—
1019	C₂²×C₄	—	2	4	no	—
1020	C₂²×C₄	—	2	8	no	—
1021	C₂²×C₄	—	2	8	no	—
1022	C₂²×C₄	—	2	8	no	—
1023	C₂²×C₄	—	2	8	no	—
1024	C₂²×C₄	—	2	8	no	—
1025	C₂²×C₄	—	2	8	no	—
1026	C₂²×C₄	—	2	4	no	—
1027	C₂²×C₄	—	4	4	no	—
1028	C₂²×C₄	—	4	4	no	—
1029	C₂²×C₄	—	4	4	no	—
1030	C₂²×C₄	—	4	4	no	—
1031	C₂²×C₄	—	4	16	no	—
1032	C₂²×C₄	—	4	2	no	—
1033	C₂²×C₄	—	4	2	no	—
1034	C₂²×C₄	—	4	4	no	—
1035	C₂²×C₄	—	4	2	no	—
1036	C₂²×C₄	—	4	2	no	—
1037	C₂²×C₄	—	4	4	no	—
1038	C₂²×C₄	—	4	4	no	—
1039	C₂²×C₄	—	4	4	no	—
1040	C₂²×C₄	—	4	4	no	—
1041	C₂²×C₄	—	4	4	no	—
1042	C₂²×C₄	—	4	4	no	—
1043	C₂²×C₄	—	4	4	no	—
1044	C₂²×C₄	—	4	4	no	—
1045	C₂²×C₄	—	4	4	no	—
1046	C₂²×C₄	—	4	2	no	—
1047	C₂²×C₄	—	4	2	no	—
1048	C₂²×C₄	—	4	4	no	—
1049	C₂²×C₄	—	4	4	no	—
1050	C₂²×C₄	—	4	4	no	—
1051	C₂²×C₄	—	4	4	no	—
1052	C₂²×C₄	—	8	32	no	—
1053	C₂²×C₄	—	8	8	no	—
1054	C₂²×C₄	C₂×#41	1	4	yes	—
1055	C₂²×C₄	C₂×#41	1	4	yes	—
1056	C₂²×C₄	C₂×#41	1	4	yes	—
1057	C₂²×C₄	C₂×#41	1	4	yes	—
1058	C₂²×C₄	C₂×#41	1	4	yes	—
1059	C₂²×C₄	C₂×#41	1	4	yes	—
1060	C₂²×C₄	C₂×#41	1	16	yes	—
1061	C₂²×C₄	C₂⁵	1	2	yes	—
1062	C₂²×C₄	C₂⁵	1	4	yes	—
1063	C₂²×C₄	C₂⁵	1	4	yes	—
1064	C₂²×C₄	C₂⁵	1	2	yes	—
1065	C₂²×C₄	C₂⁵	1	2	yes	—
1066	C₂²×C₄	C₂⁵	1	2	yes	—
1067	C₂²×C₄	C₂⁵	1	2	yes	—
1068	C₂²×C₄	C₂⁵	1	4	yes	—
1069	C₂²×C₄	C₂⁵	1	2	yes	—
1070	C₂²×C₄	C₂⁵	1	4	yes	—
1071	C₂²×C₄	C₂⁵	1	4	yes	—
1072	C₂²×C₄	C₂⁵	1	4	yes	—
1073	C₂²×C₄	C₂⁵	1	2	yes	—
1074	C₂²×C₄	C₂⁵	1	2	yes	—
1075	C₂²×C₄	C₂⁵	1	2	yes	—
1076	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1077	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1078	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1079	C₂²×C₄	C₂⁵	1	4	yes	—
1080	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1081	C₂²×C₄	C₂⁵	1	4	yes	—
1082	C₄⋊C₄	—	2	2	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	4	no	—
1087	C₄⋊C₄	—	2	4	no	—
1088	C₄⋊C₄	—	2	2	no	—
1089	C₄⋊C₄	—	2	2	no	—
1090	C₄⋊C₄	—	2	8	no	—
1091	C₄⋊C₄	—	2	8	no	—
1092	C₄⋊C₄	—	2	8	no	—
1093	C₄⋊C₄	—	2	8	no	—
1094	C₄⋊C₄	—	2	4	no	—
1095	C₄⋊C₄	—	2	4	no	—
1096	C₄⋊C₄	—	2	8	no	—
1097	C₄⋊C₄	—	2	8	no	—
1098	C₄⋊C₄	—	2	8	no	—
1099	C₄⋊C₄	—	2	8	no	—
1100	C₄⋊C₄	—	4	4	no	—
1101	C₄⋊C₄	—	4	4	no	—
1102	C₄⋊C₄	—	4	4	no	—
1103	C₄⋊C₄	—	4	4	no	—
1104	C₄⋊C₄	—	4	4	no	—
1105	C₄⋊C₄	—	4	4	no	—
1106	C₄⋊C₄	—	4	4	no	—
1107	C₄⋊C₄	—	4	4	no	—
1108	C₄⋊C₄	—	4	4	no	—
1109	C₄⋊C₄	—	4	4	no	—
1110	C₄⋊C₄	—	4	4	no	—
1111	C₄⋊C₄	—	4	4	no	—
1112	C₄⋊C₄	—	4	4	no	—
1113	C₄⋊C₄	—	4	4	no	—
1114	C₄⋊C₄	—	4	4	no	—
1115	C₄⋊C₄	—	4	4	no	—
1116	C₄⋊C₄	—	4	4	no	—
1117	C₄⋊C₄	—	4	4	no	—
1118	C₄⋊C₄	—	4	4	no	—
1119	C₂²⋊C₄	—	2	8	no	—
1120	C₂²⋊C₄	—	2	4	no	—
1121	C₂²⋊C₄	—	2	4	no	—
1122	C₂²⋊C₄	—	2	4	no	—
1123	C₂²⋊C₄	—	2	4	no	—
1124	C₂²⋊C₄	—	2	4	no	—
1125	C₂²⋊C₄	—	2	4	no	—
1126	C₂²⋊C₄	—	2	8	no	—
1127	C₂²⋊C₄	—	2	8	no	—
1128	C₂²⋊C₄	—	2	8	no	—
1129	C₂²⋊C₄	—	2	8	no	—
1130	C₂²⋊C₄	—	2	8	no	—
1131	C₂²⋊C₄	—	2	8	no	—
1132	C₂²⋊C₄	—	2	4	no	—
1133	C₂²⋊C₄	—	2	4	no	—
1134	C₂²⋊C₄	—	2	4	no	—
1135	C₂²⋊C₄	—	2	8	no	—
1136	C₂²⋊C₄	—	2	8	no	—
1137	C₂²⋊C₄	—	2	8	no	—
1138	C₂²⋊C₄	—	2	4	no	—
1139	C₂²⋊C₄	—	2	4	no	—
1140	C₂²⋊C₄	—	2	4	no	—
1141	C₂²⋊C₄	—	2	4	no	—
1142	C₂²⋊C₄	—	2	8	no	—
1143	C₂²⋊C₄	—	2	8	no	—
1144	C₂²⋊C₄	—	2	4	no	—
1145	C₂²⋊C₄	—	2	4	no	—
1146	C₂²⋊C₄	—	2	8	no	—
1147	C₂²⋊C₄	—	2	8	no	—
1148	C₂²⋊C₄	—	2	4	no	—
1149	C₂²⋊C₄	—	2	4	no	—
1150	C₂²⋊C₄	—	2	4	no	—
1151	C₂²⋊C₄	—	2	4	no	—
1152	C₂²⋊C₄	—	2	8	no	—
1153	C₂²⋊C₄	—	2	8	no	—
1154	C₂²⋊C₄	—	2	8	no	—
1155	C₂²⋊C₄	—	4	2	no	—
1156	C₂²⋊C₄	—	4	2	no	—
1157	C₂²⋊C₄	—	4	4	no	—
1158	C₂²⋊C₄	—	4	4	no	—
1159	C₂²⋊C₄	—	4	4	no	—
1160	C₂²⋊C₄	—	4	4	no	—
1161	C₂²⋊C₄	—	4	4	no	—
1162	C₂²⋊C₄	—	4	4	no	—
1163	C₂²⋊C₄	—	4	4	no	—
1164	C₂²⋊C₄	—	4	4	no	—
1165	C₂²⋊C₄	—	4	4	no	—
1166	C₂²⋊C₄	—	4	4	no	—
1167	C₂²⋊C₄	—	4	4	no	—
1168	C₂²⋊C₄	—	4	2	no	—
1169	C₂²⋊C₄	—	4	2	no	—
1170	C₂²⋊C₄	—	4	4	no	—
1171	C₂²⋊C₄	—	4	4	no	—
1172	C₂²⋊C₄	—	4	4	no	—
1173	C₂²⋊C₄	C₂×#41	1	8	yes	—
1174	C₂²⋊C₄	C₂×#41	1	8	yes	—
1175	C₂²⋊C₄	C₂×#41	1	16	yes	—
1176	C₄²	—	2	4	no	—
1177	C₄²	—	2	4	no	—
1178	C₄²	—	2	4	no	—
1179	C₄²	—	2	4	no	—
1180	C₄²	—	2	8	no	—
1181	C₄²	—	2	4	no	—
1182	C₄²	—	2	8	no	—
1183	C₄²	—	2	8	no	—
1184	C₄²	—	4	2	no	—
1185	C₄²	—	4	2	no	—
1186	C₄²	—	4	4	no	—
1187	C₄²	—	4	2	no	—
1188	C₄²	—	4	4	no	—
1189	C₄²	—	4	2	no	—
1190	C₄²	—	4	4	no	—
1191	C₄²	—	4	4	no	—
1192	C₄²	—	4	4	no	—
1193	C₄²	—	4	4	no	—
1194	C₄²	—	4	2	no	—
1195	C₄²	—	4	2	no	—
1196	C₄²	—	4	4	no	—
1197	C₄²	—	4	4	no	—
1198	C₄²	—	4	4	no	—
1199	C₄²	—	4	4	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	2	2	no	—
1202	C₂³	—	2	2	no	—
1203	C₂³	—	2	2	no	—
1204	C₂³	—	2	16	no	—
1205	C₂³	—	2	8	no	—
1206	C₂³	—	2	8	no	—
1207	C₂³	—	2	2	no	—
1208	C₂³	—	2	2	no	—
1209	C₂³	—	2	2	no	—
1210	C₂³	—	2	2	no	—
1211	C₂³	—	2	2	no	—
1212	C₂³	—	2	2	no	—
1213	C₂³	—	2	4	no	—
1214	C₂³	—	2	4	no	—
1215	C₂³	—	2	4	no	—
1216	C₂³	—	2	4	no	—
1217	C₂³	—	2	2	no	—
1218	C₂³	—	2	8	no	—
1219	C₂³	—	2	8	no	—
1220	C₂³	—	2	16	no	—
1221	C₂³	—	2	4	no	—
1222	C₂³	—	2	2	no	—
1223	C₂³	—	2	4	no	—
1224	C₂³	—	2	2	no	—
1225	C₂³	—	2	2	no	—
1226	C₂³	—	4	4	no	—
1227	C₂³	—	4	16	no	—
1228	C₂³	—	4	16	no	—
1229	C₂³	—	4	16	no	—
1230	C₂³	—	4	16	no	—
1231	C₂³	—	4	8	no	—
1232	C₂³	—	4	8	no	—
1233	C₂³	—	8	8	no	—
1234	C₂³	—	8	4	no	—
1235	C₂³	—	8	4	no	—
1236	C₂³	—	8	8	no	—
1237	C₂³	—	8	8	no	—
1238	C₂³	—	8	2	no	—
1239	C₂³	—	8	2	no	—
1240	C₂³	—	8	2	no	—
1241	C₂³	—	8	2	no	—
1242	C₂³	—	8	64	no	—
1243	C₂³	C₂²×#41	1	4	yes	—
1244	C₂³	C₂²×#41	1	4	yes	—
1245	C₂³	C₂²×#41	1	2	yes	—
1246	C₂³	C₂²×#41	1	4	yes	—
1247	C₂³	C₂²×#41	1	2	yes	—
1248	C₂³	C₂²×#41	1	2	yes	—
1249	C₂³	#585	1	4	yes	—
1250	C₂³	C₂⁶	1	1	yes	characteristic
1251	Q₈	—	8	8	no	—
1252	Q₈	—	8	2	no	—
1253	D₄	—	4	8	no	—
1254	D₄	—	4	8	no	—
1255	D₄	—	8	2	no	—
1256	D₄	—	8	8	no	—
1257	D₄	—	8	8	no	—
1258	D₄	—	8	4	no	—
1259	C₂×C₄	—	2	2	no	—
1260	C₂×C₄	—	2	4	no	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	4	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	2	no	—
1265	C₂×C₄	—	2	4	no	—
1266	C₂×C₄	—	2	4	no	—
1267	C₂×C₄	—	2	8	no	—
1268	C₂×C₄	—	2	8	no	—
1269	C₂×C₄	—	2	4	no	—
1270	C₂×C₄	—	2	2	no	—
1271	C₂×C₄	—	2	2	no	—
1272	C₂×C₄	—	2	2	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	4	no	—
1277	C₂×C₄	—	2	4	no	—
1278	C₂×C₄	—	2	4	no	—
1279	C₂×C₄	—	2	4	no	—
1280	C₂×C₄	—	2	4	no	—
1281	C₂×C₄	—	2	4	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	2	no	—
1284	C₂×C₄	—	2	4	no	—
1285	C₂×C₄	—	2	4	no	—
1286	C₂×C₄	—	2	2	no	—
1287	C₂×C₄	—	2	4	no	—
1288	C₂×C₄	—	2	4	no	—
1289	C₂×C₄	—	2	4	no	—
1290	C₂×C₄	—	2	4	no	—
1291	C₂×C₄	—	2	4	no	—
1292	C₂×C₄	—	2	4	no	—
1293	C₂×C₄	—	2	4	no	—
1294	C₂×C₄	—	2	4	no	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	4	no	—
1297	C₂×C₄	—	2	4	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	4	no	—
1300	C₂×C₄	—	2	4	no	—
1301	C₂×C₄	—	2	4	no	—
1302	C₂×C₄	—	2	4	no	—
1303	C₂×C₄	—	2	4	no	—
1304	C₂×C₄	—	2	4	no	—
1305	C₂×C₄	—	2	2	no	—
1306	C₂×C₄	—	4	4	no	—
1307	C₂×C₄	—	4	4	no	—
1308	C₂×C₄	—	4	4	no	—
1309	C₂×C₄	—	4	4	no	—
1310	C₂×C₄	—	4	16	no	—
1311	C₂×C₄	—	4	16	no	—
1312	C₂×C₄	—	4	16	no	—
1313	C₂×C₄	—	4	8	no	—
1314	C₂×C₄	—	4	8	no	—
1315	C₂×C₄	—	8	8	no	—
1316	C₂×C₄	—	8	8	no	—
1317	C₂×C₄	—	8	8	no	—
1318	C₂×C₄	—	8	4	no	—
1319	C₂×C₄	—	8	8	no	—
1320	C₂×C₄	—	8	4	no	—
1321	C₂×C₄	—	8	8	no	—
1322	C₂×C₄	—	8	4	no	—
1323	C₂×C₄	—	8	2	no	—
1324	C₂×C₄	—	8	2	no	—
1325	C₂×C₄	C₂²×#41	1	2	yes	—
1326	C₂×C₄	C₂²×#41	1	2	yes	—
1327	C₂×C₄	C₂²×#41	1	8	yes	—
1328	C₂×C₄	C₂²×#41	1	2	yes	—
1329	C₂×C₄	C₂²×#41	1	8	yes	—
1330	C₂×C₄	C₂²×#41	1	2	yes	—
1331	C₂²	—	2	8	no	—
1332	C₂²	—	2	8	no	—
1333	C₂²	—	2	2	no	—
1334	C₂²	—	2	2	no	—
1335	C₂²	—	2	2	no	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	2	8	no	—
1338	C₂²	—	2	8	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	4	no	—
1342	C₂²	—	2	4	no	—
1343	C₂²	—	2	2	no	—
1344	C₂²	—	4	16	no	—
1345	C₂²	—	4	32	no	—
1346	C₂²	—	4	4	no	—
1347	C₂²	—	4	4	no	—
1348	C₂²	—	4	4	no	—
1349	C₂²	—	4	2	no	—
1350	C₂²	—	4	2	no	—
1351	C₂²	—	4	2	no	—
1352	C₂²	—	4	2	no	—
1353	C₂²	—	4	4	no	—
1354	C₂²	—	4	4	no	—
1355	C₂²	—	4	2	no	—
1356	C₂²	—	4	2	no	—
1357	C₂²	—	4	2	no	—
1358	C₂²	—	8	16	no	—
1359	C₂²	—	8	8	no	—
1360	C₂²	—	8	8	no	—
1361	C₂²	#3444	1	4	yes	—
1362	C₂²	#3491	1	4	yes	—
1363	C₂²	C₂³×#41	1	2	yes	—
1364	C₂²	C₂³×#41	1	1	yes	characteristic
1365	C₂²	C₂×#585	1	2	yes	—
1366	C₂²	H(7,𝔽₂)	1	2	yes	—
1367	C₄	—	2	8	no	—
1368	C₄	—	2	8	no	—
1369	C₄	—	2	2	no	—
1370	C₄	—	2	2	no	—
1371	C₄	—	2	2	no	—
1372	C₄	—	2	2	no	—
1373	C₄	—	4	4	no	—
1374	C₄	—	4	4	no	—
1375	C₄	—	4	4	no	—
1376	C₄	—	4	4	no	—
1377	C₄	—	4	4	no	—
1378	C₄	—	4	4	no	—
1379	C₄	—	4	2	no	—
1380	C₄	—	4	2	no	—
1381	C₄	—	4	2	no	—
1382	C₄	—	4	2	no	—
1383	C₄	—	4	2	no	—
1384	C₄	—	4	2	no	—
1385	C₄	—	4	2	no	—
1386	C₄	—	4	2	no	—
1387	C₄	—	4	2	no	—
1388	C₂	—	2	4	no	—
1389	C₂	—	2	4	no	—
1390	C₂	—	4	4	no	—
1391	C₂	—	4	4	no	—
1392	C₂	—	4	2	no	—
1393	C₂	—	8	2	no	—
1394	C₂	C₂×#3444	1	1	yes	characteristic
1395	C₂	C₂×#3491	1	1	yes	characteristic
1396	C₂	#62855	1	1	yes	characteristic
1397	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. #36330	C₂	semidirect
2. #36245	C₂	semidirect
3. #36207	C₂	semidirect
4. #36158	C₂	semidirect
5. #36063	C₂	semidirect
6. #36046	C₂	semidirect
7. #36013	C₂	semidirect
8. #36012	C₂	semidirect
9. #35954	C₂	semidirect
10. #35851	C₂	semidirect
11. #35839	C₂	semidirect
12. #35837	C₂	semidirect
13. #35505	C₂	semidirect
14. #35504	C₂	semidirect
15. #35488	C₂	semidirect
16. #35474	C₂	semidirect
17. #35457	C₂	semidirect
18. #35065	C₂	semidirect
19. #35054	C₂	semidirect
21. #34810	C₂	semidirect
22. #34806	C₂	semidirect
23. C₂×#2482	C₂	semidirect
24. #34303	C₂	semidirect
25. #34228	C₂	semidirect
26. #34109	C₂	semidirect
27. C₂×#2273	C₂	semidirect
33. #2855	C₂²	semidirect
34. #2852	C₂²	semidirect
35. #2851	C₂²	semidirect
40. #2667	C₂²	semidirect
41. #2667	C₂²	semidirect
42. #2665	C₂²	semidirect
43. #2663	C₂²	semidirect
44. #2652	C₂²	semidirect
45. #2649	C₂²	semidirect
48. #2608	C₂²	semidirect
49. #2607	C₂²	semidirect
50. #2607	C₂²	semidirect
51. #2602	C₂²	semidirect
52. #2589	C₂²	semidirect
53. #2578	C₂²	semidirect
54. #2577	C₂²	semidirect
55. #2576	C₂²	semidirect
56. #2575	C₂²	semidirect
57. #2575	C₂²	semidirect
58. #2575	C₂²	semidirect
59. #2575	C₂²	semidirect
60. #2573	C₂²	semidirect
61. #2573	C₂²	semidirect
62. #2572	C₂²	semidirect
63. #2569	C₂²	semidirect
67. #2560	C₂²	semidirect
68. #2558	C₂²	semidirect
69. #2558	C₂²	semidirect
70. #2557	C₂²	semidirect
71. #2556	C₂²	semidirect
72. #2553	C₂²	semidirect
73. #2553	C₂²	semidirect
74. #2553	C₂²	semidirect
75. #2553	C₂²	semidirect
76. #2549	C₂²	semidirect
82. #2531	C₂²	semidirect
83. #2530	C₂²	semidirect
84. #2527	C₂²	semidirect
85. #2527	C₂²	semidirect
86. #2527	C₂²	semidirect
87. #2526	C₂²	semidirect
88. #2523	C₂²	semidirect
89. #2522	C₂²	semidirect
90. #2521	C₂²	semidirect
91. #2517	C₂²	semidirect
92. #2517	C₂²	semidirect
93. #2516	C₂²	semidirect
94. #2515	C₂²	semidirect
95. #2515	C₂²	semidirect
96. #2515	C₂²	semidirect
97. #2515	C₂²	semidirect
98. #2510	C₂²	semidirect
99. #2505	C₂²	semidirect
100. #2505	C₂²	semidirect
101. #2504	C₂²	semidirect
102. #2503	C₂²	semidirect
103. #2502	C₂²	semidirect
104. #2501	C₂²	semidirect
105. #2500	C₂²	semidirect
106. #2499	C₂²	semidirect
107. #2499	C₂²	semidirect
108. #2498	C₂²	semidirect
109. #2498	C₂²	semidirect
110. #2496	C₂²	semidirect
111. #2495	C₂²	semidirect
112. #2493	C₂²	semidirect
113. #2489	C₂²	semidirect
114. #2488	C₂²	semidirect
127. #2481	C₂²	semidirect
132. #2473	C₂²	semidirect
135. #2471	C₂²	semidirect
136. #2470	C₂²	semidirect
137. #2467	C₂²	semidirect
138. #2458	C₂²	semidirect
139. #2450	C₂²	semidirect
140. #2441	C₂²	semidirect
141. #2438	C₂²	semidirect
144. #2423	C₂²	semidirect
153. #2401	C₂²	semidirect
154. #2396	C₂²	semidirect
155. #2395	C₂²	semidirect
156. #2395	C₂²	semidirect
157. #2395	C₂²	semidirect
158. #2395	C₂²	semidirect
161. #2374	C₂²	semidirect
162. #2373	C₂²	semidirect
163. #2373	C₂²	semidirect
164. #2372	C₂²	semidirect
165. #2368	C₂²	semidirect
166. #2364	C₂²	semidirect
167. #2362	C₂²	semidirect
168. #2360	C₂²	semidirect
169. #2359	C₂²	semidirect
170. #2359	C₂²	semidirect
173. #2357	C₂²	semidirect
174. #2353	C₂²	semidirect
175. #2353	C₂²	semidirect
176. #2352	C₂²	semidirect
177. #2347	C₂²	semidirect
178. #2346	C₂²	semidirect
179. #2346	C₂²	semidirect
180. #2345	C₂²	semidirect
181. #2344	C₂²	semidirect
182. #2343	C₂²	semidirect
183. #2343	C₂²	semidirect
184. #2343	C₂²	semidirect
188. #2339	C₂²	semidirect
189. #2335	C₂²	semidirect
190. #2335	C₂²	semidirect
191. #2334	C₂²	semidirect
192. #2333	C₂²	semidirect
193. #2332	C₂²	semidirect
194. #2332	C₂²	semidirect
195. #2329	C₂²	semidirect
197. #2318	C₂²	semidirect
198. C₄×#126	C₂²	semidirect
199. C₄×#124	C₂²	semidirect
200. C₄×C₂²⋊Q₈	C₂²	semidirect
201. C₄×#123	C₂²	semidirect
202. C₄×#123	C₂²	semidirect
204. #2298	C₂²	semidirect
205. #2298	C₂²	semidirect
206. #2298	C₂²	semidirect
207. #2297	C₂²	semidirect
208. #2296	C₂²	semidirect
209. #2293	C₂²	semidirect
210. #2290	C₂²	semidirect
213. #2285	C₂²	semidirect
214. #2283	C₂²	semidirect
219. #2275	C₂²	semidirect
228. C₄×#117	C₂²	semidirect
229. C₄×#117	C₂²	semidirect
243. C₂×#126	C₂³	semidirect
244. C₂×#125	C₂³	semidirect
267. C₂×C₄×Q₈	C₂³	semidirect
286. C₂×#117	C₂³	semidirect
317. #401	C₂³	semidirect
318. #400	C₂³	semidirect
319. #400	C₂³	semidirect
320. #400	C₂³	semidirect
321. #400	C₂³	semidirect
322. #400	C₂³	semidirect
323. #400	C₂³	semidirect
324. #400	C₂³	semidirect
325. #400	C₂³	semidirect
326. #400	C₂³	semidirect
327. #400	C₂³	semidirect
328. #400	C₂³	semidirect
339. #399	C₂³	semidirect
340. #399	C₂³	semidirect
341. #398	C₂³	semidirect
342. #398	C₂³	semidirect
343. #398	C₂³	semidirect
344. #398	C₂³	semidirect
345. #398	C₂³	semidirect
346. #398	C₂³	semidirect
347. #398	C₂³	semidirect
366. #397	C₂³	semidirect
367. #397	C₂³	semidirect
368. #397	C₂³	semidirect
369. #397	C₂³	semidirect
376. #396	C₂³	semidirect
377. #395	C₂³	semidirect
390. #393	C₂³	semidirect
393. #391	C₂³	semidirect
394. #391	C₂³	semidirect
395. #391	C₂³	semidirect
396. #391	C₂³	semidirect
397. #391	C₂³	semidirect
398. #391	C₂³	semidirect
399. #391	C₂³	semidirect
400. #391	C₂³	semidirect
405. #390	C₂³	semidirect
406. #390	C₂³	semidirect
407. #389	C₂³	semidirect
408. #389	C₂³	semidirect
409. #389	C₂³	semidirect
410. #389	C₂³	semidirect
411. #389	C₂³	semidirect
412. #389	C₂³	semidirect
413. #389	C₂³	semidirect
414. #389	C₂³	semidirect
415. #389	C₂³	semidirect
416. #389	C₂³	semidirect
445. #388	C₂³	semidirect
446. #388	C₂³	semidirect
447. #388	C₂³	semidirect
448. #388	C₂³	semidirect
449. #388	C₂³	semidirect
450. #388	C₂³	semidirect
451. #388	C₂³	semidirect
452. #388	C₂³	semidirect
453. #388	C₂³	semidirect
454. #388	C₂³	semidirect
455. #388	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
478. #387	C₂³	semidirect
479. #387	C₂³	semidirect
480. #387	C₂³	semidirect
481. #387	C₂³	semidirect
482. #387	C₂³	semidirect
483. #387	C₂³	semidirect
484. #387	C₂³	semidirect
485. #387	C₂³	semidirect
486. #387	C₂³	semidirect
487. #387	C₂³	semidirect
488. #387	C₂³	semidirect
504. #386	C₂³	semidirect
530. #385	C₂³	semidirect
531. #384	C₂³	semidirect
532. #384	C₂³	semidirect
533. #383	C₂³	semidirect
534. #383	C₂³	semidirect
535. #383	C₂³	semidirect
536. #383	C₂³	semidirect
537. #382	C₂³	semidirect
538. #382	C₂³	semidirect
539. #382	C₂³	semidirect
540. #382	C₂³	semidirect
541. #382	C₂³	semidirect
542. #382	C₂³	semidirect
543. #382	C₂³	semidirect
558. #381	C₂³	semidirect
570. #380	C₂³	semidirect
571. #380	C₂³	semidirect
583. C₄×C₄⋊C₄	C₂³	semidirect
584. C₄×C₄⋊C₄	C₂³	semidirect
585. C₄×C₄⋊C₄	C₂³	semidirect
586. C₄×C₄⋊C₄	C₂³	semidirect
587. C₄×C₄⋊C₄	C₂³	semidirect
588. C₄×C₄⋊C₄	C₂³	semidirect
589. C₄×C₄⋊C₄	C₂³	semidirect
590. C₄×C₄⋊C₄	C₂³	semidirect
591. C₄×C₄⋊C₄	C₂³	semidirect
592. C₄×C₄⋊C₄	C₂³	semidirect
593. C₄×C₄⋊C₄	C₂³	semidirect
594. C₄×C₄⋊C₄	C₂³	semidirect
595. C₄×C₄⋊C₄	C₂³	semidirect
596. C₄×C₄⋊C₄	C₂³	semidirect
597. C₄×C₄⋊C₄	C₂³	semidirect
598. C₄×C₄⋊C₄	C₂³	semidirect
643. C₄×C₂²⋊C₄	C₂³	semidirect
644. C₄×C₂²⋊C₄	C₂³	semidirect
645. C₄×C₂²⋊C₄	C₂³	semidirect
646. C₄×C₂²⋊C₄	C₂³	semidirect
647. C₄×C₂²⋊C₄	C₂³	semidirect
648. C₄×C₂²⋊C₄	C₂³	semidirect
649. #376	C₂³	semidirect
650. #376	C₂³	semidirect
651. #376	C₂³	semidirect
652. #376	C₂³	semidirect
653. #376	C₂³	semidirect
660. C₂×#95	C₂³	semidirect
661. C₄³	C₂³	semidirect
662. C₄³	C₂³	semidirect
814. 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
#36330	2
#36245	2
#36207	2
#36158	2
#36063	2
#36046	2
#36013	2
#36012	2
#35954	2
#35851	2
#35839	2
#35837	2
#35505	2
#35504	2
#35488	2
#35474	2
#35457	2
#35065	2
#35054	2
#35050	2
#34810	2
#34806	2
C₂×#2482	2
#34303	2
#34228	2
#34109	2
C₂×#2273	2