Subgroups — #7713430

Order 512.

5402 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#50329	C₂	1	2	yes	maximal, complemented
2	#50274	C₂	1	2	yes	maximal, complemented
3	#49794	C₂	1	4	yes	maximal, complemented
4	#49793	C₂	1	2	yes	maximal, complemented
5	#49728	C₂	1	2	yes	maximal, complemented
6	#49727	C₂	1	4	yes	maximal, complemented
7	#47621	C₂	1	2	yes	maximal, complemented
8	#47452	C₂	1	2	yes	maximal, complemented
9	#47192	C₂	1	4	yes	maximal, complemented
10	#47182	C₂	1	2	yes	maximal, complemented
11	#46713	C₂	1	4	yes	maximal, complemented
12	#46710	C₂	1	2	yes	maximal, complemented
13	#38208	C₂	1	4	yes	maximal, complemented
14	#38199	C₂	1	4	yes	maximal, complemented
15	#37891	C₂	1	2	yes	maximal, complemented
16	#37885	C₂	1	2	yes	maximal, complemented
17	#37703	C₂	1	2	yes	maximal, complemented
18	#37697	C₂	1	2	yes	maximal, complemented
19	#37457	C₂	1	2	yes	maximal, complemented
20	#36725	C₂	1	2	yes	maximal, complemented
21	#36702	C₂	1	2	yes	maximal, complemented
22	#35165	C₂	1	1	yes	maximal, characteristic, complemented
23	#35034	C₂	1	2	yes	maximal, complemented
24	#35010	C₂	1	1	yes	maximal, characteristic, complemented
25	#34988	C₂	1	2	yes	maximal, complemented
26	#34406	C₂	1	2	yes	maximal, complemented
27	C₂×#2321	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#538	C₂²	1	2	yes	—
29	C₂×#535	C₂²	1	2	yes	—
30	C₂×#532	C₂²	1	1	yes	characteristic, complemented
31	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#120	C₂²	1	1	yes	characteristic
33	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
34	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
35	#2855	C₂²	1	2	yes	complemented
36	#2852	C₂²	1	4	yes	complemented
37	#2848	C₂²	1	2	yes	—
38	#2847	C₂²	1	2	yes	—
39	#2847	C₂²	1	2	yes	complemented
40	#2846	C₂²	1	4	yes	—
41	#2834	C₂²	1	2	yes	complemented
42	#2827	C₂²	1	4	yes	complemented
43	#2824	C₂²	1	2	yes	complemented
44	#2797	C₂²	1	4	yes	complemented
45	#2793	C₂²	1	4	yes	complemented
46	#2786	C₂²	1	4	yes	complemented
47	#2778	C₂²	1	4	yes	complemented
48	#2773	C₂²	1	4	yes	complemented
49	#2759	C₂²	1	4	yes	complemented
50	#2757	C₂²	1	4	yes	complemented
51	#2756	C₂²	1	4	yes	complemented
52	#2756	C₂²	1	4	yes	complemented
53	#2756	C₂²	1	4	yes	complemented
54	#2754	C₂²	1	4	yes	complemented
55	#2754	C₂²	1	4	yes	complemented
56	#2753	C₂²	1	4	yes	complemented
57	#2741	C₂²	1	4	yes	complemented
58	#2741	C₂²	1	4	yes	complemented
59	#2741	C₂²	1	4	yes	complemented
60	#2740	C₂²	1	4	yes	complemented
61	#2737	C₂²	1	4	yes	complemented
62	#2736	C₂²	1	2	yes	complemented
63	#2735	C₂²	1	4	yes	complemented
64	#2735	C₂²	1	2	yes	complemented
65	#2730	C₂²	1	4	yes	complemented
66	#2721	C₂²	1	4	yes	complemented
67	#2716	C₂²	1	4	yes	complemented
68	#2714	C₂²	1	4	yes	complemented
69	#2712	C₂²	1	4	yes	complemented
70	#2711	C₂²	1	4	yes	complemented
71	#2710	C₂²	1	4	yes	complemented
72	#2703	C₂²	1	4	yes	complemented
73	#2703	C₂²	1	4	yes	complemented
74	#2702	C₂²	1	4	yes	complemented
75	#2697	C₂²	1	4	yes	complemented
76	#2696	C₂²	1	4	yes	complemented
77	#2691	C₂²	1	4	yes	complemented
78	#2685	C₂²	1	4	yes	complemented
79	#2685	C₂²	1	4	yes	complemented
80	#2684	C₂²	1	2	yes	—
81	#2684	C₂²	1	4	yes	—
82	#2684	C₂²	1	2	yes	—
83	#2684	C₂²	1	4	yes	complemented
84	#2678	C₂²	1	4	yes	complemented
85	#2676	C₂²	1	4	yes	complemented
86	#2673	C₂²	1	4	yes	complemented
87	#2670	C₂²	1	2	yes	complemented
88	#2669	C₂²	1	4	yes	—
89	#2669	C₂²	1	2	yes	—
90	#2669	C₂²	1	2	yes	—
91	#2668	C₂²	1	4	yes	—
92	#2668	C₂²	1	4	yes	—
93	#2668	C₂²	1	4	yes	—
94	#2668	C₂²	1	4	yes	—
95	#2668	C₂²	1	2	yes	complemented
96	#2653	C₂²	1	4	yes	complemented
97	#2652	C₂²	1	4	yes	complemented
98	#2646	C₂²	1	2	yes	complemented
99	#2639	C₂²	1	2	yes	complemented
100	#2633	C₂²	1	4	yes	complemented
101	#2630	C₂²	1	4	yes	complemented
102	#2627	C₂²	1	2	yes	complemented
103	#2626	C₂²	1	2	yes	—
104	#2626	C₂²	1	2	yes	—
105	#2622	C₂²	1	4	yes	—
106	#2622	C₂²	1	4	yes	—
107	#2617	C₂²	1	2	yes	—
108	#2617	C₂²	1	2	yes	—
109	#2617	C₂²	1	2	yes	complemented
110	#2610	C₂²	1	4	yes	complemented
111	#2603	C₂²	1	4	yes	complemented
112	#2595	C₂²	1	4	yes	complemented
113	#2591	C₂²	1	4	yes	complemented
114	#2579	C₂²	1	2	yes	complemented
115	#2579	C₂²	1	2	yes	complemented
116	#2578	C₂²	1	4	yes	complemented
117	#2577	C₂²	1	4	yes	complemented
118	#2564	C₂²	1	2	yes	complemented
119	#2564	C₂²	1	2	yes	complemented
120	#2560	C₂²	1	4	yes	complemented
121	#2559	C₂²	1	4	yes	complemented
122	#2554	C₂²	1	4	yes	complemented
123	#2547	C₂²	1	1	yes	characteristic, complemented
124	#2547	C₂²	1	1	yes	characteristic, complemented
125	#2544	C₂²	1	2	yes	complemented
126	#2544	C₂²	1	2	yes	complemented
127	#2543	C₂²	1	4	yes	complemented
128	#2541	C₂²	1	1	yes	characteristic, complemented
129	#2541	C₂²	1	1	yes	characteristic, complemented
130	#2537	C₂²	1	2	yes	complemented
131	#2537	C₂²	1	2	yes	complemented
132	#2535	C₂²	1	2	yes	complemented
133	#2535	C₂²	1	2	yes	complemented
134	#2532	C₂²	1	4	yes	complemented
135	#2532	C₂²	1	4	yes	complemented
136	#2532	C₂²	1	4	yes	complemented
137	#2531	C₂²	1	4	yes	complemented
138	#2531	C₂²	1	4	yes	complemented
139	#2531	C₂²	1	4	yes	complemented
140	#2530	C₂²	1	4	yes	complemented
141	#2529	C₂²	1	4	yes	complemented
142	#2525	C₂²	1	4	yes	complemented
143	#2523	C₂²	1	2	yes	complemented
144	#2521	C₂²	1	4	yes	complemented
145	#2519	C₂²	1	4	yes	complemented
146	#2510	C₂²	1	4	yes	complemented
147	#2510	C₂²	1	4	yes	complemented
148	#2510	C₂²	1	4	yes	complemented
149	#2498	C₂²	1	4	yes	complemented
150	#2490	C₂²	1	4	yes	complemented
151	#2487	C₂²	1	1	yes	characteristic, complemented
152	#2487	C₂²	1	1	yes	characteristic, complemented
153	#2482	C₂²	1	4	yes	—
154	#2481	C₂²	1	4	yes	complemented
155	#2480	C₂²	1	4	yes	—
156	#2480	C₂²	1	4	yes	complemented
157	#2480	C₂²	1	4	yes	complemented
158	#2477	C₂²	1	4	yes	complemented
159	#2476	C₂²	1	4	yes	complemented
160	#2476	C₂²	1	4	yes	complemented
161	#2473	C₂²	1	4	yes	complemented
162	#2472	C₂²	1	4	yes	—
163	#2472	C₂²	1	4	yes	complemented
164	#2472	C₂²	1	4	yes	complemented
165	#2467	C₂²	1	4	yes	complemented
166	#2467	C₂²	1	4	yes	complemented
167	#2464	C₂²	1	4	yes	complemented
168	#2460	C₂²	1	4	yes	complemented
169	#2459	C₂²	1	4	yes	complemented
170	#2455	C₂²	1	2	yes	complemented
171	#2450	C₂²	1	4	yes	complemented
172	#2444	C₂²	1	4	yes	complemented
173	#2443	C₂²	1	4	yes	complemented
174	#2443	C₂²	1	4	yes	complemented
175	#2443	C₂²	1	4	yes	complemented
176	#2436	C₂²	1	4	yes	complemented
177	#2425	C₂²	1	4	yes	complemented
178	#2424	C₂²	1	4	yes	—
179	#2424	C₂²	1	4	yes	complemented
180	#2424	C₂²	1	4	yes	complemented
181	#2418	C₂²	1	4	yes	—
182	#2418	C₂²	1	4	yes	complemented
183	#2418	C₂²	1	4	yes	complemented
184	#2417	C₂²	1	2	yes	complemented
185	#2417	C₂²	1	2	yes	complemented
186	#2416	C₂²	1	4	yes	complemented
187	#2414	C₂²	1	4	yes	complemented
188	#2410	C₂²	1	4	yes	—
189	#2410	C₂²	1	4	yes	—
190	#2409	C₂²	1	1	yes	characteristic, complemented
191	#2409	C₂²	1	1	yes	characteristic, complemented
192	#2404	C₂²	1	4	yes	—
193	#2380	C₂²	1	2	yes	complemented
194	#2379	C₂²	1	2	yes	complemented
195	#2377	C₂²	1	4	yes	complemented
196	#2372	C₂²	1	2	yes	complemented
197	#2366	C₂²	1	2	yes	complemented
198	#2364	C₂²	1	4	yes	complemented
199	#2358	C₂²	1	4	yes	complemented
200	#2358	C₂²	1	4	yes	complemented
201	#2343	C₂²	1	4	yes	complemented
202	#2339	C₂²	1	4	yes	complemented
203	#2337	C₂²	1	4	yes	complemented
204	#2333	C₂²	1	4	yes	complemented
205	#2329	C₂²	1	2	yes	complemented
206	#2328	C₂²	1	4	yes	complemented
207	#2325	C₂²	1	2	yes	complemented
208	#2325	C₂²	1	4	yes	complemented
209	#2321	C₂²	1	2	yes	—
210	#2321	C₂²	1	2	yes	—
211	#2321	C₂²	1	2	yes	—
212	#2321	C₂²	1	2	yes	—
213	#2321	C₂²	1	2	yes	—
214	#2321	C₂²	1	2	yes	—
215	#2321	C₂²	1	2	yes	—
216	#2321	C₂²	1	2	yes	—
217	#2321	C₂²	1	4	yes	—
218	#2321	C₂²	1	4	yes	—
219	#2315	C₂²	1	2	yes	complemented
220	#2312	C₂²	1	2	yes	—
221	#2311	C₂²	1	2	yes	complemented
222	#2308	C₂²	1	2	yes	—
223	C₄×#120	C₂²	1	4	yes	—
224	C₂×#390	C₂²	1	2	yes	—
225	#2290	C₂²	1	4	yes	complemented
226	C₂×#388	C₂²	1	2	yes	—
227	C₂×#388	C₂²	1	2	yes	—
228	C₂×#386	C₂²	1	2	yes	—
229	C₂×#386	C₂²	1	1	yes	characteristic
230	C₂×#385	C₂²	1	1	yes	characteristic
231	#2285	C₂²	1	1	yes	characteristic, complemented
232	C₂×#380	C₂²	1	1	yes	characteristic, complemented
233	C₂×#379	C₂²	1	1	yes	characteristic
234	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
235	C₂⁶	C₂³	1	1	yes	characteristic
236	C₂²×#41	C₂³	1	2	yes	—
237	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
238	C₂³×D₄	C₂³	1	2	yes	—
239	C₂³×D₄	C₂³	1	1	yes	characteristic
240	C₂⁴×C₄	C₂³	1	1	yes	characteristic
241	C₂⁴×C₄	C₂³	1	1	yes	characteristic
242	C₂⁴×C₄	C₂³	1	1	yes	characteristic
243	#538	—	4	8	no	—
244	#535	—	2	16	no	—
245	#532	—	4	4	no	—
246	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
247	C₂×#127	C₂³	1	2	yes	—
248	C₂×#127	C₂³	1	2	yes	—
249	C₂×#127	C₂³	1	1	yes	characteristic, complemented
250	C₂×#126	C₂³	1	4	yes	—
251	C₂×#126	C₂³	1	4	yes	—
252	C₂×#126	C₂³	1	4	yes	complemented
253	C₂×#125	C₂³	1	4	yes	complemented
254	C₂×#124	C₂³	1	2	yes	—
255	C₂×#124	C₂³	1	2	yes	—
256	C₂×#124	C₂³	1	4	yes	—
257	C₂×#124	C₂³	1	4	yes	—
258	C₂×#124	C₂³	1	2	yes	complemented
259	C₂×#123	C₂³	1	4	yes	—
260	C₂×#123	C₂³	1	4	yes	—
261	C₂×#123	C₂³	1	4	yes	complemented
262	C₂×C₂²⋊Q₈	—	4	4	no	—
263	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
264	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
265	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
266	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
267	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
268	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
269	C₂×#121	C₂³	1	4	yes	—
270	C₂×#121	C₂³	1	2	yes	—
271	C₂×#121	C₂³	1	4	yes	—
272	C₂×#121	C₂³	1	2	yes	—
273	C₂×#121	C₂³	1	4	yes	—
274	C₂×#121	C₂³	1	4	yes	—
275	C₂×#121	C₂³	1	2	yes	—
276	C₂×#121	C₂³	1	2	yes	—
277	C₂×#121	C₂³	1	4	yes	—
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	2	yes	complemented
282	C₂×#121	C₂³	1	2	yes	complemented
283	C₂×#120	—	2	8	no	—
284	C₂×#120	C₂³	1	2	yes	—
285	C₂×#120	C₂³	1	2	yes	—
286	C₂×#120	C₂³	1	2	yes	—
287	C₂×#120	C₂³	1	2	yes	—
288	C₂×#120	C₂³	1	4	yes	—
289	C₂×#120	C₂³	1	4	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×D₄	—	4	4	no	—
297	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
298	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
299	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
300	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
301	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
302	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
303	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
304	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
305	C₂×C₄×D₄	C₂³	1	4	yes	—
306	C₂×C₄×D₄	C₂³	1	4	yes	—
307	C₂×C₄×D₄	C₂³	1	4	yes	—
308	C₂×C₄×D₄	C₂³	1	4	yes	—
309	C₂×C₄×D₄	C₂³	1	2	yes	complemented
310	C₂×C₄×D₄	C₂³	1	2	yes	complemented
311	C₂×C₄×D₄	C₂³	1	4	yes	complemented
312	C₂×C₄×D₄	C₂³	1	4	yes	complemented
313	C₂×#117	C₂³	1	2	yes	—
314	C₂×#117	C₂³	1	4	yes	complemented
315	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
317	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
318	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
319	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
320	C₂²×C₂²⋊C₄	—	4	4	no	—
321	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
322	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
327	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂²×C₂²⋊C₄	C₂³	1	2	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	1	yes	characteristic
334	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
335	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
336	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
337	C₂²×C₄²	C₂³	1	1	yes	characteristic
338	C₂²×C₄²	C₂³	1	2	yes	—
339	#401	C₂³	1	4	yes	complemented
340	#400	C₂³	1	2	yes	complemented
341	#400	C₂³	1	2	yes	complemented
342	#400	C₂³	1	4	yes	complemented
343	#400	C₂³	1	4	yes	complemented
344	#400	C₂³	1	4	yes	complemented
345	#400	C₂³	1	4	yes	complemented
346	#400	C₂³	1	4	yes	complemented
347	#400	C₂³	1	4	yes	complemented
348	#399	C₂³	1	2	yes	—
349	#399	C₂³	1	2	yes	—
350	#399	C₂³	1	4	yes	—
351	#399	C₂³	1	4	yes	—
352	#399	C₂³	1	4	yes	—
353	#399	C₂³	1	4	yes	—
354	#399	C₂³	1	4	yes	complemented
355	#398	C₂³	1	4	yes	complemented
356	#398	C₂³	1	4	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	#398	C₂³	1	4	yes	complemented
363	#398	C₂³	1	4	yes	complemented
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	2	yes	—
369	#397	C₂³	1	4	yes	—
370	#397	C₂³	1	4	yes	—
371	#397	C₂³	1	2	yes	—
372	#397	C₂³	1	4	yes	—
373	#397	C₂³	1	4	yes	—
374	#397	C₂³	1	4	yes	—
375	#397	C₂³	1	4	yes	—
376	#397	C₂³	1	4	yes	—
377	#397	C₂³	1	4	yes	—
378	#397	C₂³	1	4	yes	—
379	#397	C₂³	1	4	yes	—
380	#397	C₂³	1	4	yes	—
381	#397	C₂³	1	4	yes	—
382	#397	C₂³	1	4	yes	complemented
383	#397	C₂³	1	4	yes	complemented
384	#397	C₂³	1	4	yes	complemented
385	#397	C₂³	1	4	yes	complemented
386	#397	C₂³	1	2	yes	complemented
387	#397	C₂³	1	2	yes	complemented
388	#396	C₂³	1	4	yes	—
389	#396	C₂³	1	4	yes	—
390	#396	C₂³	1	4	yes	—
391	#396	C₂³	1	4	yes	—
392	#396	C₂³	1	4	yes	—
393	#396	C₂³	1	4	yes	—
394	#396	C₂³	1	4	yes	complemented
395	#395	C₂³	1	2	yes	complemented
396	#395	C₂³	1	2	yes	complemented
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	4	yes	—
410	#394	C₂³	1	4	yes	—
411	#394	C₂³	1	4	yes	—
412	#394	C₂³	1	4	yes	—
413	#394	C₂³	1	4	yes	—
414	#394	C₂³	1	4	yes	—
415	#394	C₂³	1	4	yes	—
416	#394	C₂³	1	4	yes	—
417	#394	C₂³	1	4	yes	—
418	#394	C₂³	1	4	yes	—
419	#394	C₂³	1	4	yes	complemented
420	#394	C₂³	1	4	yes	complemented
421	#394	C₂³	1	4	yes	complemented
422	#394	C₂³	1	4	yes	complemented
423	#393	C₂³	1	2	yes	—
424	#393	C₂³	1	2	yes	—
425	#393	C₂³	1	4	yes	—
426	#393	C₂³	1	4	yes	—
427	#393	C₂³	1	4	yes	—
428	#393	C₂³	1	4	yes	—
429	#393	C₂³	1	4	yes	complemented
430	#393	C₂³	1	4	yes	complemented
431	#392	C₂³	1	2	yes	—
432	#392	C₂³	1	4	yes	—
433	#392	C₂³	1	4	yes	—
434	#392	C₂³	1	2	yes	—
435	#392	C₂³	1	4	yes	—
436	#392	C₂³	1	4	yes	—
437	#392	C₂³	1	4	yes	—
438	#392	C₂³	1	4	yes	—
439	#392	C₂³	1	4	yes	—
440	#392	C₂³	1	4	yes	—
441	#392	C₂³	1	2	yes	complemented
442	#392	C₂³	1	2	yes	complemented
443	#391	C₂³	1	4	yes	complemented
444	#391	C₂³	1	2	yes	complemented
445	#391	C₂³	1	2	yes	complemented
446	#391	C₂³	1	4	yes	complemented
447	#391	C₂³	1	4	yes	complemented
448	#391	C₂³	1	2	yes	complemented
449	#391	C₂³	1	2	yes	complemented
450	#391	C₂³	1	4	yes	complemented
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	—
461	#390	C₂³	1	2	yes	complemented
462	#390	C₂³	1	2	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	2	yes	complemented
467	#389	C₂³	1	2	yes	complemented
468	#389	C₂³	1	4	yes	complemented
469	#388	C₂³	1	4	yes	—
470	#388	C₂³	1	4	yes	—
471	#388	C₂³	1	4	yes	—
472	#388	C₂³	1	4	yes	—
473	#388	C₂³	1	4	yes	—
474	#388	C₂³	1	4	yes	—
475	#388	C₂³	1	4	yes	—
476	#388	C₂³	1	4	yes	—
477	#388	C₂³	1	4	yes	—
478	#388	C₂³	1	4	yes	—
479	#388	C₂³	1	4	yes	—
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	complemented
502	#388	C₂³	1	4	yes	complemented
503	#388	C₂³	1	4	yes	complemented
504	#388	C₂³	1	4	yes	complemented
505	#388	C₂³	1	4	yes	complemented
506	#388	C₂³	1	4	yes	complemented
507	#388	C₂³	1	4	yes	complemented
508	#388	C₂³	1	4	yes	complemented
509	#388	C₂³	1	4	yes	complemented
510	#388	C₂³	1	4	yes	complemented
511	#388	C₂³	1	4	yes	complemented
512	#388	C₂³	1	4	yes	complemented
513	#388	C₂³	1	4	yes	complemented
514	#387	C₂³	1	4	yes	complemented
515	#387	C₂³	1	4	yes	complemented
516	#387	C₂³	1	4	yes	complemented
517	#387	C₂³	1	4	yes	complemented
518	#387	C₂³	1	4	yes	complemented
519	#387	C₂³	1	4	yes	complemented
520	#387	C₂³	1	4	yes	complemented
521	#387	C₂³	1	4	yes	complemented
522	#387	C₂³	1	4	yes	complemented
523	#387	C₂³	1	4	yes	complemented
524	#387	C₂³	1	4	yes	complemented
525	#387	C₂³	1	4	yes	complemented
526	#387	C₂³	1	4	yes	complemented
527	#387	C₂³	1	4	yes	complemented
528	#387	C₂³	1	4	yes	complemented
529	#387	C₂³	1	4	yes	complemented
530	#387	C₂³	1	4	yes	complemented
531	#387	C₂³	1	4	yes	complemented
532	#387	C₂³	1	4	yes	complemented
533	#386	C₂³	1	4	yes	—
534	#386	C₂³	1	4	yes	—
535	#386	C₂³	1	4	yes	—
536	#386	C₂³	1	2	yes	—
537	#386	C₂³	1	2	yes	—
538	#386	C₂³	1	2	yes	—
539	#386	C₂³	1	2	yes	—
540	#386	C₂³	1	4	yes	—
541	#386	C₂³	1	4	yes	—
542	#386	C₂³	1	4	yes	—
543	#386	C₂³	1	2	yes	—
544	#386	C₂³	1	2	yes	—
545	#386	C₂³	1	4	yes	—
546	#386	C₂³	1	2	yes	—
547	#386	C₂³	1	2	yes	—
548	#386	C₂³	1	4	yes	—
549	#386	C₂³	1	4	yes	—
550	#386	C₂³	1	4	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	—
569	#386	C₂³	1	4	yes	—
570	#386	C₂³	1	4	yes	—
571	#386	C₂³	1	4	yes	complemented
572	#386	C₂³	1	4	yes	complemented
573	#386	C₂³	1	4	yes	complemented
574	#386	C₂³	1	4	yes	complemented
575	#386	C₂³	1	4	yes	complemented
576	#386	C₂³	1	4	yes	complemented
577	#386	C₂³	1	4	yes	complemented
578	#386	C₂³	1	4	yes	complemented
579	#386	C₂³	1	4	yes	complemented
580	#385	C₂³	1	4	yes	—
581	#385	C₂³	1	4	yes	—
582	#385	C₂³	1	2	yes	—
583	#385	C₂³	1	4	yes	—
584	#385	C₂³	1	4	yes	—
585	#385	C₂³	1	2	yes	—
586	#385	C₂³	1	4	yes	—
587	#385	C₂³	1	2	yes	—
588	#385	C₂³	1	2	yes	—
589	#385	C₂³	1	4	yes	—
590	#385	C₂³	1	4	yes	—
591	#385	C₂³	1	4	yes	—
592	#385	C₂³	1	4	yes	—
593	#385	C₂³	1	4	yes	—
594	#385	C₂³	1	2	yes	complemented
595	#385	C₂³	1	2	yes	complemented
596	#385	C₂³	1	2	yes	complemented
597	#385	C₂³	1	2	yes	complemented
598	#385	C₂³	1	4	yes	complemented
599	#385	C₂³	1	4	yes	complemented
600	#385	C₂³	1	4	yes	complemented
601	#385	C₂³	1	4	yes	complemented
602	#385	C₂³	1	4	yes	complemented
603	#384	C₂³	1	2	yes	complemented
604	#383	C₂³	1	4	yes	complemented
605	#383	C₂³	1	4	yes	complemented
606	#383	C₂³	1	4	yes	complemented
607	#382	C₂³	1	4	yes	complemented
608	#382	C₂³	1	2	yes	complemented
609	#381	C₂³	1	4	yes	—
610	#381	C₂³	1	4	yes	complemented
611	#380	C₂³	1	2	yes	—
612	#380	C₂³	1	2	yes	—
613	#380	C₂³	1	2	yes	—
614	#380	C₂³	1	2	yes	—
615	#380	C₂³	1	2	yes	—
616	#380	C₂³	1	2	yes	—
617	#380	C₂³	1	2	yes	—
618	#380	C₂³	1	2	yes	—
619	#380	C₂³	1	4	yes	complemented
620	#380	C₂³	1	4	yes	complemented
621	#380	C₂³	1	4	yes	complemented
622	#380	C₂³	1	4	yes	complemented
623	#380	C₂³	1	2	yes	complemented
624	#380	C₂³	1	4	yes	complemented
625	#380	C₂³	1	2	yes	complemented
626	#380	C₂³	1	2	yes	complemented
627	#380	C₂³	1	4	yes	complemented
628	#380	C₂³	1	1	yes	characteristic, complemented
629	#380	C₂³	1	1	yes	characteristic, complemented
630	#379	C₂³	1	4	yes	—
631	#379	C₂³	1	4	yes	—
632	#379	C₂³	1	2	yes	—
633	#379	C₂³	1	2	yes	—
634	#379	C₂³	1	2	yes	—
635	#379	C₂³	1	2	yes	—
636	#379	C₂³	1	4	yes	—
637	#379	C₂³	1	4	yes	—
638	#379	C₂³	1	4	yes	—
639	#379	C₂³	1	4	yes	—
640	#379	C₂³	1	4	yes	—
641	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
642	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
643	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
644	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
645	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
646	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
651	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
652	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
653	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
654	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
655	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
656	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
657	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
658	#376	C₂³	1	4	yes	complemented
659	#376	C₂³	1	4	yes	complemented
660	C₂×#95	C₂³	1	2	yes	—
661	C₂×#95	C₂³	1	2	yes	—
662	C₂×#95	C₂³	1	2	yes	—
663	C₂×#95	C₂³	1	2	yes	complemented
664	C₂×#95	C₂³	1	4	yes	complemented
665	C₂⁵	—	2	4	no	—
666	C₂⁵	—	4	2	no	—
667	C₂⁵	—	4	2	no	—
668	C₂⁵	—	8	2	no	—
669	C₂⁵	—	8	2	no	—
670	C₂⁵	C₂⁴	1	2	yes	—
671	C₂⁵	C₂⁴	1	1	yes	characteristic
672	C₂⁵	C₂⁴	1	1	yes	characteristic
673	C₂⁵	C₂⁴	1	2	yes	—
674	C₂⁵	C₂⁴	1	2	yes	—
675	C₂×#41	—	2	8	no	—
676	C₂×#41	—	4	4	no	—
677	C₂×#41	—	4	4	no	—
678	C₂²×Q₈	—	4	2	no	—
679	C₂²×Q₈	—	8	2	no	—
680	C₂²×Q₈	C₂⁴	1	2	yes	—
681	C₂²×Q₈	C₂⁴	1	2	yes	—
682	C₂²×Q₈	C₂⁴	1	2	yes	—
683	C₂²×D₄	—	2	8	no	—
684	C₂²×D₄	—	4	2	no	—
685	C₂²×D₄	—	4	2	no	—
686	C₂²×D₄	—	8	2	no	—
687	C₂²×D₄	—	8	2	no	—
688	C₂²×D₄	#41	1	8	yes	—
689	C₂²×D₄	C₂⁴	1	4	yes	—
690	C₂²×D₄	C₂⁴	1	4	yes	—
691	C₂²×D₄	C₂⁴	1	4	yes	—
692	C₂²×D₄	C₂⁴	1	4	yes	—
693	C₂²×D₄	C₂⁴	1	4	yes	—
694	C₂²×D₄	C₂⁴	1	2	yes	—
695	C₂²×D₄	C₂⁴	1	4	yes	—
696	C₂²×D₄	C₂⁴	1	4	yes	—
697	C₂²×D₄	C₂⁴	1	2	yes	—
698	C₂²×D₄	C₂⁴	1	2	yes	—
699	C₂²×D₄	C₂⁴	1	4	yes	—
700	C₂²×D₄	C₂⁴	1	4	yes	—
701	C₂²×D₄	C₂⁴	1	4	yes	—
702	C₂²×D₄	C₂⁴	1	4	yes	—
703	C₂²×D₄	C₂⁴	1	1	yes	characteristic
704	C₂²×D₄	C₂⁴	1	1	yes	characteristic
705	C₂²×D₄	C₂⁴	1	1	yes	characteristic
706	C₂²×D₄	C₂⁴	1	1	yes	characteristic
707	C₂³×C₄	—	2	4	no	—
708	C₂³×C₄	—	2	4	no	—
709	C₂³×C₄	—	4	2	no	—
710	C₂³×C₄	—	8	2	no	—
711	C₂³×C₄	—	8	2	no	—
712	C₂³×C₄	—	8	2	no	—
713	C₂³×C₄	C₂⁴	1	1	yes	characteristic
714	C₂³×C₄	C₂⁴	1	1	yes	characteristic
715	C₂³×C₄	C₂⁴	1	2	yes	—
716	C₂³×C₄	C₂⁴	1	2	yes	—
717	C₂³×C₄	C₂⁴	1	1	yes	characteristic
718	C₂³×C₄	C₂⁴	1	1	yes	characteristic
719	C₂³×C₄	C₂⁴	1	2	yes	—
720	C₂³×C₄	C₂⁴	1	1	yes	characteristic
721	C₂³×C₄	C₂⁴	1	1	yes	characteristic
722	C₂³×C₄	C₂⁴	1	1	yes	characteristic
723	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	4	yes	—
729	C₂³×C₄	C₂⁴	1	2	yes	—
730	C₂³×C₄	C₂⁴	1	2	yes	—
731	C₂³×C₄	C₂⁴	1	2	yes	—
732	C₂³×C₄	C₂⁴	1	4	yes	—
733	C₂³×C₄	C₂⁴	1	2	yes	—
734	C₂³×C₄	C₂⁴	1	4	yes	—
735	C₂³×C₄	C₂⁴	1	4	yes	—
736	C₂³×C₄	C₂⁴	1	1	yes	characteristic
737	C₄⋊Q₈	—	4	2	no	—
738	#127	—	2	8	no	—
739	#127	—	2	8	no	—
740	#127	—	4	2	no	—
741	#126	—	4	8	no	—
742	#126	—	8	4	no	—
743	#126	—	8	4	no	—
744	#125	—	8	4	no	—
745	#124	—	2	8	no	—
746	#124	—	2	8	no	—
747	#124	—	4	4	no	—
748	#124	—	4	8	no	—
749	#124	—	8	4	no	—
750	#123	—	4	8	no	—
751	#123	—	8	4	no	—
752	#123	—	8	4	no	—
753	C₂²⋊Q₈	—	2	8	no	—
754	C₂²⋊Q₈	—	4	4	no	—
755	C₂²⋊Q₈	—	4	4	no	—
756	C₂²⋊Q₈	—	4	4	no	—
757	C₂²⋊Q₈	—	8	2	no	—
758	C₂²⋊Q₈	—	8	2	no	—
759	#121	—	2	16	no	—
760	#121	—	2	16	no	—
761	#121	—	2	8	no	—
762	#121	—	4	8	no	—
763	#121	—	4	4	no	—
764	#121	—	8	4	no	—
765	#121	—	8	2	no	—
766	#121	—	8	4	no	—
767	#121	—	8	4	no	—
768	#121	—	8	4	no	—
769	#121	—	8	4	no	—
770	#121	—	8	2	no	—
771	#121	—	8	2	no	—
772	#121	—	8	2	no	—
773	#120	—	2	16	no	—
774	#120	—	2	16	no	—
775	#120	—	2	8	no	—
776	#120	—	2	8	no	—
777	#120	—	2	8	no	—
778	#120	—	2	8	no	—
779	#120	—	4	8	no	—
780	#120	—	4	8	no	—
781	#120	—	8	4	no	—
782	#120	—	8	4	no	—
783	#120	—	8	4	no	—
784	#120	—	8	4	no	—
785	C₄×D₄	—	4	4	no	—
786	C₄×D₄	—	4	4	no	—
787	C₄×D₄	—	4	2	no	—
788	C₄×D₄	—	4	2	no	—
789	C₄×D₄	—	4	2	no	—
790	C₄×D₄	—	4	2	no	—
791	C₄×D₄	—	4	2	no	—
792	C₄×D₄	—	4	2	no	—
793	C₄×D₄	—	4	2	no	—
794	C₄×D₄	—	4	2	no	—
795	C₄×D₄	—	4	8	no	—
796	C₄×D₄	—	4	8	no	—
797	C₄×D₄	—	8	4	no	—
798	C₄×D₄	—	8	4	no	—
799	C₄×D₄	—	8	4	no	—
800	C₄×D₄	—	8	4	no	—
801	#117	—	2	8	no	—
802	#117	—	8	4	no	—
803	C₂×C₄⋊C₄	—	4	4	no	—
804	C₂×C₄⋊C₄	—	4	2	no	—
805	C₂×C₄⋊C₄	—	4	2	no	—
806	C₂×C₄⋊C₄	—	8	2	no	—
807	C₂×C₄⋊C₄	—	8	2	no	—
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	1	yes	characteristic
813	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
814	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
815	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
816	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
817	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
820	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
821	C₂×C₄⋊C₄	C₂⁴	1	2	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	2	yes	—
830	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
832	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
833	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
838	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
839	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
840	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
841	C₂×C₂²⋊C₄	—	2	4	no	—
842	C₂×C₂²⋊C₄	—	2	8	no	—
843	C₂×C₂²⋊C₄	—	2	8	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	4	no	—
849	C₂×C₂²⋊C₄	—	4	4	no	—
850	C₂×C₂²⋊C₄	—	4	4	no	—
851	C₂×C₂²⋊C₄	—	4	2	no	—
852	C₂×C₂²⋊C₄	—	4	2	no	—
853	C₂×C₂²⋊C₄	—	4	2	no	—
854	C₂×C₂²⋊C₄	—	8	2	no	—
855	C₂×C₂²⋊C₄	—	8	2	no	—
856	C₂×C₂²⋊C₄	—	8	2	no	—
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	2	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
874	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
875	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
876	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
877	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
879	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
880	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
894	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
895	C₂×C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
922	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
923	C₂×C₄²	—	2	4	no	—
924	C₂×C₄²	—	8	2	no	—
925	C₂×C₄²	C₂⁴	1	2	yes	—
926	C₂×C₄²	C₂⁴	1	2	yes	—
927	C₂×C₄²	C₂⁴	1	1	yes	characteristic
928	C₂×C₄²	C₂⁴	1	1	yes	characteristic
929	C₂×C₄²	C₂⁴	1	1	yes	characteristic
930	C₂×C₄²	C₂⁴	1	1	yes	characteristic
931	C₂×C₄²	C₂⁴	1	4	yes	—
932	C₂×C₄²	C₂⁴	1	4	yes	—
933	C₂×C₄²	C₂⁴	1	4	yes	—
934	C₂×C₄²	C₂⁴	1	4	yes	—
935	C₂×C₄²	C₂⁴	1	4	yes	—
936	C₂×C₄²	C₂⁴	1	4	yes	—
937	C₂×C₄²	C₂⁴	1	4	yes	—
938	C₂×C₄²	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	#95	C₂⁴	1	4	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	2	yes	—
947	#95	C₂⁴	1	4	yes	—
948	#95	C₂⁴	1	2	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	#95	C₂⁴	1	4	yes	—
956	#95	C₂⁴	1	4	yes	—
957	#95	C₂⁴	1	4	yes	—
958	#95	C₂⁴	1	4	yes	—
959	#95	C₂⁴	1	4	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	2	yes	—
972	#95	C₂⁴	1	2	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	#95	C₂⁴	1	4	yes	—
983	C₂⁴	—	2	2	no	—
984	C₂⁴	—	2	2	no	—
985	C₂⁴	—	2	2	no	—
986	C₂⁴	—	2	2	no	—
987	C₂⁴	—	2	4	no	—
988	C₂⁴	—	2	4	no	—
989	C₂⁴	—	2	4	no	—
990	C₂⁴	—	2	4	no	—
991	C₂⁴	—	2	4	no	—
992	C₂⁴	—	4	2	no	—
993	C₂⁴	—	4	2	no	—
994	C₂⁴	—	4	2	no	—
995	C₂⁴	—	4	2	no	—
996	C₂⁴	—	4	2	no	—
997	C₂⁴	—	4	2	no	—
998	C₂⁴	—	4	2	no	—
999	C₂⁴	—	4	2	no	—
1000	C₂⁴	—	4	2	no	—
1001	C₂⁴	—	4	2	no	—
1002	C₂⁴	—	4	2	no	—
1003	C₂⁴	—	4	2	no	—
1004	C₂⁴	—	4	4	no	—
1005	C₂⁴	—	4	4	no	—
1006	C₂⁴	—	4	4	no	—
1007	C₂⁴	—	4	4	no	—
1008	C₂⁴	—	4	16	no	—
1009	C₂⁴	—	8	16	no	—
1010	C₂⁴	—	8	8	no	—
1011	C₂⁴	—	8	8	no	—
1012	C₂⁴	—	8	16	no	—
1013	C₂⁴	C₂×#41	1	4	yes	—
1014	C₂⁴	C₂×#41	1	4	yes	—
1015	C₂⁴	C₂⁵	1	4	yes	—
1016	C₂⁴	C₂⁵	1	4	yes	—
1017	C₂⁴	C₂⁵	1	1	yes	characteristic
1018	C₂⁴	C₂⁵	1	1	yes	characteristic
1019	C₂⁴	C₂⁵	1	1	yes	characteristic
1020	C₂⁴	C₂⁵	1	1	yes	characteristic
1021	C₂⁴	C₂⁵	1	1	yes	characteristic
1022	#41	—	8	16	no	—
1023	C₂×Q₈	—	2	4	no	—
1024	C₂×Q₈	—	2	4	no	—
1025	C₂×Q₈	—	4	2	no	—
1026	C₂×Q₈	—	4	2	no	—
1027	C₂×Q₈	—	4	2	no	—
1028	C₂×Q₈	—	4	2	no	—
1029	C₂×Q₈	—	4	4	no	—
1030	C₂×Q₈	—	4	2	no	—
1031	C₂×Q₈	—	8	8	no	—
1032	C₂×D₄	—	2	8	no	—
1033	C₂×D₄	—	2	8	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	8	no	—
1039	C₂×D₄	—	2	8	no	—
1040	C₂×D₄	—	2	8	no	—
1041	C₂×D₄	—	2	4	no	—
1042	C₂×D₄	—	2	4	no	—
1043	C₂×D₄	—	4	1	no	—
1044	C₂×D₄	—	4	1	no	—
1045	C₂×D₄	—	4	1	no	—
1046	C₂×D₄	—	4	1	no	—
1047	C₂×D₄	—	4	16	no	—
1048	C₂×D₄	—	4	1	no	—
1049	C₂×D₄	—	4	1	no	—
1050	C₂×D₄	—	4	1	no	—
1051	C₂×D₄	—	4	1	no	—
1052	C₂×D₄	—	4	2	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	2	no	—
1060	C₂×D₄	—	4	2	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	2	no	—
1069	C₂×D₄	—	4	2	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	—	4	4	no	—
1076	C₂×D₄	—	4	4	no	—
1077	C₂×D₄	—	4	4	no	—
1078	C₂×D₄	—	4	4	no	—
1079	C₂×D₄	—	4	4	no	—
1080	C₂×D₄	—	4	4	no	—
1081	C₂×D₄	—	4	4	no	—
1082	C₂×D₄	—	8	16	no	—
1083	C₂×D₄	C₂×#41	1	4	yes	—
1084	C₂×D₄	C₂×#41	1	4	yes	—
1085	C₂×D₄	C₂×#41	1	4	yes	—
1086	C₂×D₄	C₂×#41	1	4	yes	—
1087	C₂²×C₄	—	2	2	no	—
1088	C₂²×C₄	—	2	2	no	—
1089	C₂²×C₄	—	2	4	no	—
1090	C₂²×C₄	—	2	2	no	—
1091	C₂²×C₄	—	2	2	no	—
1092	C₂²×C₄	—	2	4	no	—
1093	C₂²×C₄	—	2	2	no	—
1094	C₂²×C₄	—	2	4	no	—
1095	C₂²×C₄	—	2	2	no	—
1096	C₂²×C₄	—	2	2	no	—
1097	C₂²×C₄	—	2	8	no	—
1098	C₂²×C₄	—	2	2	no	—
1099	C₂²×C₄	—	2	2	no	—
1100	C₂²×C₄	—	2	2	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	2	no	—
1103	C₂²×C₄	—	2	2	no	—
1104	C₂²×C₄	—	4	2	no	—
1105	C₂²×C₄	—	4	2	no	—
1106	C₂²×C₄	—	4	2	no	—
1107	C₂²×C₄	—	4	2	no	—
1108	C₂²×C₄	—	4	2	no	—
1109	C₂²×C₄	—	4	2	no	—
1110	C₂²×C₄	—	4	2	no	—
1111	C₂²×C₄	—	4	2	no	—
1112	C₂²×C₄	—	4	2	no	—
1113	C₂²×C₄	—	4	2	no	—
1114	C₂²×C₄	—	4	2	no	—
1115	C₂²×C₄	—	4	2	no	—
1116	C₂²×C₄	—	4	2	no	—
1117	C₂²×C₄	—	4	2	no	—
1118	C₂²×C₄	—	4	2	no	—
1119	C₂²×C₄	—	4	2	no	—
1120	C₂²×C₄	—	4	4	no	—
1121	C₂²×C₄	—	4	4	no	—
1122	C₂²×C₄	—	4	4	no	—
1123	C₂²×C₄	—	4	4	no	—
1124	C₂²×C₄	—	4	4	no	—
1125	C₂²×C₄	—	4	4	no	—
1126	C₂²×C₄	—	4	4	no	—
1127	C₂²×C₄	—	4	2	no	—
1128	C₂²×C₄	—	4	2	no	—
1129	C₂²×C₄	—	4	2	no	—
1130	C₂²×C₄	—	4	2	no	—
1131	C₂²×C₄	—	4	4	no	—
1132	C₂²×C₄	—	4	2	no	—
1133	C₂²×C₄	—	4	2	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	—	8	8	no	—
1142	C₂²×C₄	—	8	8	no	—
1143	C₂²×C₄	—	8	8	no	—
1144	C₂²×C₄	C₂×#41	1	4	yes	—
1145	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1146	C₂²×C₄	C₂⁵	1	4	yes	—
1147	C₂²×C₄	C₂⁵	1	4	yes	—
1148	C₂²×C₄	C₂⁵	1	4	yes	—
1149	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁵	1	4	yes	—
1151	C₂²×C₄	C₂⁵	1	4	yes	—
1152	C₂²×C₄	C₂⁵	1	4	yes	—
1153	C₂²×C₄	C₂⁵	1	4	yes	—
1154	C₂²×C₄	C₂⁵	1	4	yes	—
1155	C₂²×C₄	C₂⁵	1	4	yes	—
1156	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1157	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1158	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1159	C₂²×C₄	C₂⁵	1	4	yes	—
1160	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1161	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1162	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1163	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1164	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1165	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1166	C₄⋊C₄	—	2	8	no	—
1167	C₄⋊C₄	—	2	8	no	—
1168	C₄⋊C₄	—	2	4	no	—
1169	C₄⋊C₄	—	2	4	no	—
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	4	4	no	—
1175	C₄⋊C₄	—	4	2	no	—
1176	C₄⋊C₄	—	4	2	no	—
1177	C₄⋊C₄	—	4	2	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	C₄⋊C₄	—	4	4	no	—
1184	C₄⋊C₄	—	4	2	no	—
1185	C₄⋊C₄	—	4	4	no	—
1186	C₄⋊C₄	—	4	4	no	—
1187	C₄⋊C₄	—	4	4	no	—
1188	C₄⋊C₄	—	4	4	no	—
1189	C₄⋊C₄	—	4	2	no	—
1190	C₄⋊C₄	—	4	2	no	—
1191	C₄⋊C₄	—	4	4	no	—
1192	C₄⋊C₄	—	4	4	no	—
1193	C₄⋊C₄	—	4	4	no	—
1194	C₄⋊C₄	—	4	4	no	—
1195	C₄⋊C₄	—	4	4	no	—
1196	C₄⋊C₄	—	4	4	no	—
1197	C₄⋊C₄	—	4	4	no	—
1198	C₄⋊C₄	—	4	4	no	—
1199	C₂²⋊C₄	—	2	4	no	—
1200	C₂²⋊C₄	—	2	4	no	—
1201	C₂²⋊C₄	—	2	8	no	—
1202	C₂²⋊C₄	—	2	8	no	—
1203	C₂²⋊C₄	—	2	8	no	—
1204	C₂²⋊C₄	—	2	8	no	—
1205	C₂²⋊C₄	—	2	8	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	—	2	8	no	—
1212	C₂²⋊C₄	—	2	8	no	—
1213	C₂²⋊C₄	—	4	4	no	—
1214	C₂²⋊C₄	—	4	4	no	—
1215	C₂²⋊C₄	—	4	2	no	—
1216	C₂²⋊C₄	—	4	2	no	—
1217	C₂²⋊C₄	—	4	2	no	—
1218	C₂²⋊C₄	—	4	2	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	4	1	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	4	1	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	—	4	4	no	—
1253	C₂²⋊C₄	—	4	4	no	—
1254	C₂²⋊C₄	—	4	4	no	—
1255	C₂²⋊C₄	—	4	4	no	—
1256	C₂²⋊C₄	—	4	4	no	—
1257	C₂²⋊C₄	—	4	4	no	—
1258	C₂²⋊C₄	—	4	4	no	—
1259	C₂²⋊C₄	—	4	4	no	—
1260	C₂²⋊C₄	—	4	4	no	—
1261	C₂²⋊C₄	—	4	4	no	—
1262	C₂²⋊C₄	—	4	4	no	—
1263	C₂²⋊C₄	—	4	4	no	—
1264	C₂²⋊C₄	—	4	4	no	—
1265	C₄²	—	2	4	no	—
1266	C₄²	—	2	4	no	—
1267	C₄²	—	2	2	no	—
1268	C₄²	—	2	2	no	—
1269	C₄²	—	2	2	no	—
1270	C₄²	—	2	2	no	—
1271	C₄²	—	4	4	no	—
1272	C₄²	—	4	4	no	—
1273	C₄²	—	4	4	no	—
1274	C₄²	—	4	4	no	—
1275	C₄²	—	4	4	no	—
1276	C₄²	—	4	4	no	—
1277	C₄²	—	4	4	no	—
1278	C₄²	—	4	4	no	—
1279	C₂³	—	2	2	no	—
1280	C₂³	—	2	2	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	2	no	—
1290	C₂³	—	2	2	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	2	no	—
1297	C₂³	—	2	8	no	—
1298	C₂³	—	2	8	no	—
1299	C₂³	—	2	4	no	—
1300	C₂³	—	2	4	no	—
1301	C₂³	—	2	4	no	—
1302	C₂³	—	2	4	no	—
1303	C₂³	—	2	4	no	—
1304	C₂³	—	2	4	no	—
1305	C₂³	—	2	4	no	—
1306	C₂³	—	2	4	no	—
1307	C₂³	—	2	4	no	—
1308	C₂³	—	2	4	no	—
1309	C₂³	—	2	4	no	—
1310	C₂³	—	2	4	no	—
1311	C₂³	—	2	4	no	—
1312	C₂³	—	2	4	no	—
1313	C₂³	—	4	8	no	—
1314	C₂³	—	4	8	no	—
1315	C₂³	—	4	4	no	—
1316	C₂³	—	4	4	no	—
1317	C₂³	—	4	8	no	—
1318	C₂³	—	4	8	no	—
1319	C₂³	—	4	8	no	—
1320	C₂³	—	4	8	no	—
1321	C₂³	—	4	8	no	—
1322	C₂³	—	4	8	no	—
1323	C₂³	—	8	2	no	—
1324	C₂³	—	8	4	no	—
1325	C₂³	—	8	2	no	—
1326	C₂³	—	8	4	no	—
1327	C₂³	—	8	4	no	—
1328	C₂³	—	8	4	no	—
1329	C₂³	—	8	4	no	—
1330	C₂³	—	8	8	no	—
1331	C₂³	—	8	8	no	—
1332	C₂³	—	8	4	no	—
1333	C₂³	—	8	4	no	—
1334	C₂³	—	8	8	no	—
1335	C₂³	—	8	8	no	—
1336	C₂³	—	8	4	no	—
1337	C₂³	—	8	4	no	—
1338	C₂³	—	8	64	no	—
1339	C₂³	C₂²×#41	1	2	yes	—
1340	C₂³	C₂²×#41	1	2	yes	—
1341	C₂³	C₂²×#41	1	2	yes	—
1342	C₂³	C₂²×#41	1	2	yes	—
1343	C₂³	C₂²×#41	1	2	yes	—
1344	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1345	C₂³	#585	1	2	yes	—
1346	C₂³	C₂⁶	1	1	yes	characteristic
1347	Q₈	—	8	4	no	—
1348	Q₈	—	8	4	no	—
1349	Q₈	—	8	4	no	—
1350	D₄	—	4	4	no	—
1351	D₄	—	4	4	no	—
1352	D₄	—	4	4	no	—
1353	D₄	—	4	4	no	—
1354	D₄	—	4	16	no	—
1355	D₄	—	8	4	no	—
1356	D₄	—	8	4	no	—
1357	D₄	—	8	8	no	—
1358	D₄	—	8	8	no	—
1359	D₄	—	8	8	no	—
1360	D₄	—	8	8	no	—
1361	D₄	—	8	8	no	—
1362	D₄	—	8	8	no	—
1363	D₄	—	8	4	no	—
1364	D₄	—	16	4	no	—
1365	D₄	—	16	4	no	—
1366	D₄	—	16	4	no	—
1367	D₄	—	16	4	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	2	no	—
1373	C₂×C₄	—	2	2	no	—
1374	C₂×C₄	—	2	8	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	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	4	no	—
1382	C₂×C₄	—	2	4	no	—
1383	C₂×C₄	—	2	4	no	—
1384	C₂×C₄	—	2	4	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	4	no	—
1390	C₂×C₄	—	2	4	no	—
1391	C₂×C₄	—	2	4	no	—
1392	C₂×C₄	—	2	4	no	—
1393	C₂×C₄	—	2	4	no	—
1394	C₂×C₄	—	2	4	no	—
1395	C₂×C₄	—	2	2	no	—
1396	C₂×C₄	—	2	2	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	—	2	4	no	—
1404	C₂×C₄	—	2	4	no	—
1405	C₂×C₄	—	2	4	no	—
1406	C₂×C₄	—	2	4	no	—
1407	C₂×C₄	—	2	4	no	—
1408	C₂×C₄	—	2	2	no	—
1409	C₂×C₄	—	2	4	no	—
1410	C₂×C₄	—	2	2	no	—
1411	C₂×C₄	—	2	4	no	—
1412	C₂×C₄	—	2	4	no	—
1413	C₂×C₄	—	2	2	no	—
1414	C₂×C₄	—	2	4	no	—
1415	C₂×C₄	—	2	4	no	—
1416	C₂×C₄	—	2	2	no	—
1417	C₂×C₄	—	4	4	no	—
1418	C₂×C₄	—	4	4	no	—
1419	C₂×C₄	—	4	4	no	—
1420	C₂×C₄	—	4	4	no	—
1421	C₂×C₄	—	4	8	no	—
1422	C₂×C₄	—	8	2	no	—
1423	C₂×C₄	—	8	2	no	—
1424	C₂×C₄	—	8	2	no	—
1425	C₂×C₄	—	8	2	no	—
1426	C₂×C₄	—	8	2	no	—
1427	C₂×C₄	—	8	2	no	—
1428	C₂×C₄	—	8	8	no	—
1429	C₂×C₄	—	8	4	no	—
1430	C₂×C₄	—	8	2	no	—
1431	C₂×C₄	—	8	2	no	—
1432	C₂×C₄	—	8	4	no	—
1433	C₂×C₄	—	8	8	no	—
1434	C₂×C₄	—	8	4	no	—
1435	C₂×C₄	—	8	4	no	—
1436	C₂×C₄	—	8	4	no	—
1437	C₂×C₄	—	8	4	no	—
1438	C₂×C₄	—	16	4	no	—
1439	C₂×C₄	—	16	4	no	—
1440	C₂×C₄	C₂²×#41	1	2	yes	—
1441	C₂×C₄	C₂²×#41	1	2	yes	—
1442	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1443	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1444	C₂²	—	2	4	no	—
1445	C₂²	—	2	2	no	—
1446	C₂²	—	2	4	no	—
1447	C₂²	—	2	2	no	—
1448	C₂²	—	2	2	no	—
1449	C₂²	—	2	2	no	—
1450	C₂²	—	2	2	no	—
1451	C₂²	—	2	2	no	—
1452	C₂²	—	2	4	no	—
1453	C₂²	—	2	4	no	—
1454	C₂²	—	2	4	no	—
1455	C₂²	—	2	4	no	—
1456	C₂²	—	4	16	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	1	no	—
1459	C₂²	—	4	1	no	—
1460	C₂²	—	4	1	no	—
1461	C₂²	—	4	2	no	—
1462	C₂²	—	4	2	no	—
1463	C₂²	—	4	2	no	—
1464	C₂²	—	4	2	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	4	no	—
1470	C₂²	—	4	4	no	—
1471	C₂²	—	4	4	no	—
1472	C₂²	—	4	4	no	—
1473	C₂²	—	4	4	no	—
1474	C₂²	—	4	4	no	—
1475	C₂²	—	4	4	no	—
1476	C₂²	—	4	4	no	—
1477	C₂²	—	4	4	no	—
1478	C₂²	—	4	4	no	—
1479	C₂²	—	4	4	no	—
1480	C₂²	—	4	4	no	—
1481	C₂²	—	4	4	no	—
1482	C₂²	—	4	4	no	—
1483	C₂²	—	8	8	no	—
1484	C₂²	—	8	16	no	—
1485	C₂²	—	8	16	no	—
1486	C₂²	—	8	16	no	—
1487	C₂²	#3505	1	4	yes	—
1488	C₂²	C₂³×#41	1	1	yes	characteristic
1489	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1490	C₂²	C₂×#585	1	1	yes	characteristic
1491	C₂²	H(7,𝔽₂)	1	2	yes	—
1492	C₂²	H(7,𝔽₂)	1	2	yes	—
1493	C₄	—	2	2	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	2	no	—
1496	C₄	—	2	2	no	—
1497	C₄	—	4	4	no	—
1498	C₄	—	4	4	no	—
1499	C₄	—	4	4	no	—
1500	C₄	—	4	4	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	4	no	—
1506	C₄	—	4	4	no	—
1507	C₄	—	4	4	no	—
1508	C₄	—	4	4	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	4	no	—
1511	C₄	—	4	4	no	—
1512	C₄	—	4	1	no	—
1513	C₂	—	2	4	no	—
1514	C₂	—	4	2	no	—
1515	C₂	—	4	2	no	—
1516	C₂	—	4	2	no	—
1517	C₂	—	4	2	no	—
1518	C₂	—	8	4	no	—
1519	C₂	—	8	4	no	—
1520	C₂	C₂×#3505	1	1	yes	characteristic
1521	C₂	#62846	1	2	yes	—
1522	C₂	#62862	1	1	yes	characteristic
1523	C₂	#62867	1	2	yes	—
1524	C₂	#62874	1	1	yes	characteristic

	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. #50329	C₂	semidirect
2. #50274	C₂	semidirect
3. #49794	C₂	semidirect
4. #49793	C₂	semidirect
5. #49728	C₂	semidirect
6. #49727	C₂	semidirect
7. #47621	C₂	semidirect
8. #47452	C₂	semidirect
9. #47192	C₂	semidirect
10. #47182	C₂	semidirect
11. #46713	C₂	semidirect
12. #46710	C₂	semidirect
13. #38208	C₂	semidirect
14. #38199	C₂	semidirect
15. #37891	C₂	semidirect
16. #37885	C₂	semidirect
17. #37703	C₂	semidirect
18. #37697	C₂	semidirect
19. #37457	C₂	semidirect
20. #36725	C₂	semidirect
21. #36702	C₂	semidirect
22. #35165	C₂	semidirect
23. #35034	C₂	semidirect
24. #35010	C₂	semidirect
25. #34988	C₂	semidirect
26. #34406	C₂	semidirect
27. C₂×#2321	C₂	semidirect
30. C₂×#532	C₂²	semidirect
31. C₂²×C₂²⋊Q₈	C₂²	semidirect
35. #2855	C₂²	semidirect
36. #2852	C₂²	semidirect
39. #2847	C₂²	semidirect
41. #2834	C₂²	semidirect
42. #2827	C₂²	semidirect
43. #2824	C₂²	semidirect
44. #2797	C₂²	semidirect
45. #2793	C₂²	semidirect
46. #2786	C₂²	semidirect
47. #2778	C₂²	semidirect
48. #2773	C₂²	semidirect
49. #2759	C₂²	semidirect
50. #2757	C₂²	semidirect
51. #2756	C₂²	semidirect
52. #2756	C₂²	semidirect
53. #2756	C₂²	semidirect
54. #2754	C₂²	semidirect
55. #2754	C₂²	semidirect
56. #2753	C₂²	semidirect
57. #2741	C₂²	semidirect
58. #2741	C₂²	semidirect
59. #2741	C₂²	semidirect
60. #2740	C₂²	semidirect
61. #2737	C₂²	semidirect
62. #2736	C₂²	semidirect
63. #2735	C₂²	semidirect
64. #2735	C₂²	semidirect
65. #2730	C₂²	semidirect
66. #2721	C₂²	semidirect
67. #2716	C₂²	semidirect
68. #2714	C₂²	semidirect
69. #2712	C₂²	semidirect
70. #2711	C₂²	semidirect
71. #2710	C₂²	semidirect
72. #2703	C₂²	semidirect
73. #2703	C₂²	semidirect
74. #2702	C₂²	semidirect
75. #2697	C₂²	semidirect
76. #2696	C₂²	semidirect
77. #2691	C₂²	semidirect
78. #2685	C₂²	semidirect
79. #2685	C₂²	semidirect
83. #2684	C₂²	semidirect
84. #2678	C₂²	semidirect
85. #2676	C₂²	semidirect
86. #2673	C₂²	semidirect
87. #2670	C₂²	semidirect
95. #2668	C₂²	semidirect
96. #2653	C₂²	semidirect
97. #2652	C₂²	semidirect
98. #2646	C₂²	semidirect
99. #2639	C₂²	semidirect
100. #2633	C₂²	semidirect
101. #2630	C₂²	semidirect
102. #2627	C₂²	semidirect
109. #2617	C₂²	semidirect
110. #2610	C₂²	semidirect
111. #2603	C₂²	semidirect
112. #2595	C₂²	semidirect
113. #2591	C₂²	semidirect
114. #2579	C₂²	semidirect
115. #2579	C₂²	semidirect
116. #2578	C₂²	semidirect
117. #2577	C₂²	semidirect
118. #2564	C₂²	semidirect
119. #2564	C₂²	semidirect
120. #2560	C₂²	semidirect
121. #2559	C₂²	semidirect
122. #2554	C₂²	semidirect
123. #2547	C₂²	semidirect
124. #2547	C₂²	semidirect
125. #2544	C₂²	semidirect
126. #2544	C₂²	semidirect
127. #2543	C₂²	semidirect
128. #2541	C₂²	semidirect
129. #2541	C₂²	semidirect
130. #2537	C₂²	semidirect
131. #2537	C₂²	semidirect
132. #2535	C₂²	semidirect
133. #2535	C₂²	semidirect
134. #2532	C₂²	semidirect
135. #2532	C₂²	semidirect
136. #2532	C₂²	semidirect
137. #2531	C₂²	semidirect
138. #2531	C₂²	semidirect
139. #2531	C₂²	semidirect
140. #2530	C₂²	semidirect
141. #2529	C₂²	semidirect
142. #2525	C₂²	semidirect
143. #2523	C₂²	semidirect
144. #2521	C₂²	semidirect
145. #2519	C₂²	semidirect
146. #2510	C₂²	semidirect
147. #2510	C₂²	semidirect
148. #2510	C₂²	semidirect
149. #2498	C₂²	semidirect
150. #2490	C₂²	semidirect
151. #2487	C₂²	semidirect
152. #2487	C₂²	semidirect
154. #2481	C₂²	semidirect
156. #2480	C₂²	semidirect
157. #2480	C₂²	semidirect
158. #2477	C₂²	semidirect
159. #2476	C₂²	semidirect
160. #2476	C₂²	semidirect
161. #2473	C₂²	semidirect
163. #2472	C₂²	semidirect
164. #2472	C₂²	semidirect
165. #2467	C₂²	semidirect
166. #2467	C₂²	semidirect
167. #2464	C₂²	semidirect
168. #2460	C₂²	semidirect
169. #2459	C₂²	semidirect
170. #2455	C₂²	semidirect
171. #2450	C₂²	semidirect
172. #2444	C₂²	semidirect
173. #2443	C₂²	semidirect
174. #2443	C₂²	semidirect
175. #2443	C₂²	semidirect
176. #2436	C₂²	semidirect
177. #2425	C₂²	semidirect
179. #2424	C₂²	semidirect
180. #2424	C₂²	semidirect
182. #2418	C₂²	semidirect
183. #2418	C₂²	semidirect
184. #2417	C₂²	semidirect
185. #2417	C₂²	semidirect
186. #2416	C₂²	semidirect
187. #2414	C₂²	semidirect
190. #2409	C₂²	semidirect
191. #2409	C₂²	semidirect
193. #2380	C₂²	semidirect
194. #2379	C₂²	semidirect
195. #2377	C₂²	semidirect
196. #2372	C₂²	semidirect
197. #2366	C₂²	semidirect
198. #2364	C₂²	semidirect
199. #2358	C₂²	semidirect
200. #2358	C₂²	semidirect
201. #2343	C₂²	semidirect
202. #2339	C₂²	semidirect
203. #2337	C₂²	semidirect
204. #2333	C₂²	semidirect
205. #2329	C₂²	semidirect
206. #2328	C₂²	semidirect
207. #2325	C₂²	semidirect
208. #2325	C₂²	semidirect
219. #2315	C₂²	semidirect
221. #2311	C₂²	semidirect
225. #2290	C₂²	semidirect
231. #2285	C₂²	semidirect
232. C₂×#380	C₂²	semidirect
237. C₂³×Q₈	C₂³	semidirect
246. C₂×C₄⋊Q₈	C₂³	semidirect
249. C₂×#127	C₂³	semidirect
252. C₂×#126	C₂³	semidirect
253. C₂×#125	C₂³	semidirect
258. C₂×#124	C₂³	semidirect
261. C₂×#123	C₂³	semidirect
267. C₂×C₂²⋊Q₈	C₂³	semidirect
268. C₂×C₂²⋊Q₈	C₂³	semidirect
281. C₂×#121	C₂³	semidirect
282. C₂×#121	C₂³	semidirect
309. C₂×C₄×D₄	C₂³	semidirect
310. C₂×C₄×D₄	C₂³	semidirect
311. C₂×C₄×D₄	C₂³	semidirect
312. C₂×C₄×D₄	C₂³	semidirect
314. C₂×#117	C₂³	semidirect
317. C₂²×C₄⋊C₄	C₂³	semidirect
318. C₂²×C₄⋊C₄	C₂³	semidirect
319. C₂²×C₄⋊C₄	C₂³	semidirect
339. #401	C₂³	semidirect
340. #400	C₂³	semidirect
341. #400	C₂³	semidirect
342. #400	C₂³	semidirect
343. #400	C₂³	semidirect
344. #400	C₂³	semidirect
345. #400	C₂³	semidirect
346. #400	C₂³	semidirect
347. #400	C₂³	semidirect
354. #399	C₂³	semidirect
355. #398	C₂³	semidirect
356. #398	C₂³	semidirect
357. #398	C₂³	semidirect
358. #398	C₂³	semidirect
359. #398	C₂³	semidirect
360. #398	C₂³	semidirect
361. #398	C₂³	semidirect
362. #398	C₂³	semidirect
363. #398	C₂³	semidirect
382. #397	C₂³	semidirect
383. #397	C₂³	semidirect
384. #397	C₂³	semidirect
385. #397	C₂³	semidirect
386. #397	C₂³	semidirect
387. #397	C₂³	semidirect
394. #396	C₂³	semidirect
395. #395	C₂³	semidirect
396. #395	C₂³	semidirect
419. #394	C₂³	semidirect
420. #394	C₂³	semidirect
421. #394	C₂³	semidirect
422. #394	C₂³	semidirect
429. #393	C₂³	semidirect
430. #393	C₂³	semidirect
441. #392	C₂³	semidirect
442. #392	C₂³	semidirect
443. #391	C₂³	semidirect
444. #391	C₂³	semidirect
445. #391	C₂³	semidirect
446. #391	C₂³	semidirect
447. #391	C₂³	semidirect
448. #391	C₂³	semidirect
449. #391	C₂³	semidirect
450. #391	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
501. #388	C₂³	semidirect
502. #388	C₂³	semidirect
503. #388	C₂³	semidirect
504. #388	C₂³	semidirect
505. #388	C₂³	semidirect
506. #388	C₂³	semidirect
507. #388	C₂³	semidirect
508. #388	C₂³	semidirect
509. #388	C₂³	semidirect
510. #388	C₂³	semidirect
511. #388	C₂³	semidirect
512. #388	C₂³	semidirect
513. #388	C₂³	semidirect
514. #387	C₂³	semidirect
515. #387	C₂³	semidirect
516. #387	C₂³	semidirect
517. #387	C₂³	semidirect
518. #387	C₂³	semidirect
519. #387	C₂³	semidirect
520. #387	C₂³	semidirect
521. #387	C₂³	semidirect
522. #387	C₂³	semidirect
523. #387	C₂³	semidirect
524. #387	C₂³	semidirect
525. #387	C₂³	semidirect
526. #387	C₂³	semidirect
527. #387	C₂³	semidirect
528. #387	C₂³	semidirect
529. #387	C₂³	semidirect
530. #387	C₂³	semidirect
531. #387	C₂³	semidirect
532. #387	C₂³	semidirect
571. #386	C₂³	semidirect
572. #386	C₂³	semidirect
573. #386	C₂³	semidirect
574. #386	C₂³	semidirect
575. #386	C₂³	semidirect
576. #386	C₂³	semidirect
577. #386	C₂³	semidirect
578. #386	C₂³	semidirect
579. #386	C₂³	semidirect
594. #385	C₂³	semidirect
595. #385	C₂³	semidirect
596. #385	C₂³	semidirect
597. #385	C₂³	semidirect
598. #385	C₂³	semidirect
599. #385	C₂³	semidirect
600. #385	C₂³	semidirect
601. #385	C₂³	semidirect
602. #385	C₂³	semidirect
603. #384	C₂³	semidirect
604. #383	C₂³	semidirect
605. #383	C₂³	semidirect
606. #383	C₂³	semidirect
607. #382	C₂³	semidirect
608. #382	C₂³	semidirect
610. #381	C₂³	semidirect
619. #380	C₂³	semidirect
620. #380	C₂³	semidirect
621. #380	C₂³	semidirect
622. #380	C₂³	semidirect
623. #380	C₂³	semidirect
624. #380	C₂³	semidirect
625. #380	C₂³	semidirect
626. #380	C₂³	semidirect
627. #380	C₂³	semidirect
628. #380	C₂³	semidirect
629. #380	C₂³	semidirect
641. C₄×C₄⋊C₄	C₂³	semidirect
642. C₄×C₄⋊C₄	C₂³	semidirect
643. C₄×C₄⋊C₄	C₂³	semidirect
644. C₄×C₄⋊C₄	C₂³	semidirect
645. 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
659. #376	C₂³	semidirect
663. C₂×#95	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
#50329	2
#50274	2
#49794	2
#49793	2
#49728	2
#49727	2
#47621	2
#47452	2
#47192	2
#47182	2
#46713	2
#46710	2
#38208	2
#38199	2
#37891	2
#37885	2
#37703	2
#37697	2
#37457	2
#36725	2
#36702	2
#35165	2
#35034	2
#35010	2
#34988	2
#34406	2
C₂×#2321	2