Subgroups — #8106041

Order 512.

6158 conjugacy classes of subgroups.

The subgroup lattice has 1438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#52548	C₂	1	4	yes	maximal, complemented
2	#52547	C₂	1	4	yes	maximal, complemented
3	#52425	C₂	1	4	yes	maximal, complemented
4	#44022	C₂	1	4	yes	maximal, complemented
5	#43975	C₂	1	4	yes	maximal, complemented
6	#43512	C₂	1	2	yes	maximal, complemented
7	#43491	C₂	1	2	yes	maximal, complemented
8	#41974	C₂	1	4	yes	maximal, complemented
9	#41952	C₂	1	4	yes	maximal, complemented
10	#41390	C₂	1	2	yes	maximal, complemented
11	#41368	C₂	1	2	yes	maximal, complemented
12	#40846	C₂	1	4	yes	maximal, complemented
13	#40817	C₂	1	4	yes	maximal, complemented
14	#40662	C₂	1	2	yes	maximal, complemented
15	#40612	C₂	1	2	yes	maximal, complemented
16	#36581	C₂	1	2	yes	maximal, complemented
17	#36146	C₂	1	2	yes	maximal, complemented
18	#36098	C₂	1	4	yes	maximal, complemented
19	#35223	C₂	1	2	yes	maximal, complemented
20	#34989	C₂	1	2	yes	maximal, complemented
21	#34988	C₂	1	1	yes	maximal, characteristic, complemented
22	#34981	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#399	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#553	C₂²	1	2	yes	complemented
25	C₂×#546	C₂²	1	4	yes	complemented
26	C₂×#539	C₂²	1	2	yes	complemented
27	C₂×#538	C₂²	1	1	yes	characteristic, complemented
28	C₂×#537	C₂²	1	2	yes	complemented
29	C₂×#534	C₂²	1	1	yes	characteristic
30	C₂×#525	C₂²	1	4	yes	complemented
31	C₂²×#120	C₂²	1	2	yes	—
32	C₂³×C₄⋊C₄	C₂²	1	2	yes	complemented
33	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
34	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
35	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
36	#2849	C₂²	1	4	yes	complemented
37	#2848	C₂²	1	1	yes	characteristic, complemented
38	#2847	C₂²	1	2	yes	—
39	#2847	C₂²	1	2	yes	—
40	#2847	C₂²	1	4	yes	complemented
41	#2847	C₂²	1	1	yes	characteristic, complemented
42	#2846	C₂²	1	2	yes	—
43	#2842	C₂²	1	2	yes	complemented
44	#2841	C₂²	1	2	yes	complemented
45	#2837	C₂²	1	4	yes	complemented
46	#2837	C₂²	1	4	yes	complemented
47	#2837	C₂²	1	4	yes	complemented
48	#2836	C₂²	1	4	yes	complemented
49	#2829	C₂²	1	4	yes	complemented
50	#2829	C₂²	1	4	yes	complemented
51	#2827	C₂²	1	4	yes	complemented
52	#2826	C₂²	1	4	yes	complemented
53	#2820	C₂²	1	2	yes	complemented
54	#2816	C₂²	1	4	yes	complemented
55	#2813	C₂²	1	2	yes	complemented
56	#2813	C₂²	1	4	yes	complemented
57	#2807	C₂²	1	4	yes	complemented
58	#2798	C₂²	1	4	yes	complemented
59	#2780	C₂²	1	4	yes	complemented
60	#2773	C₂²	1	4	yes	complemented
61	#2771	C₂²	1	2	yes	complemented
62	#2768	C₂²	1	4	yes	complemented
63	#2754	C₂²	1	4	yes	complemented
64	#2752	C₂²	1	2	yes	complemented
65	#2748	C₂²	1	4	yes	complemented
66	#2748	C₂²	1	4	yes	complemented
67	#2743	C₂²	1	4	yes	complemented
68	#2741	C₂²	1	4	yes	complemented
69	#2740	C₂²	1	4	yes	complemented
70	#2735	C₂²	1	2	yes	complemented
71	#2732	C₂²	1	4	yes	complemented
72	#2732	C₂²	1	4	yes	complemented
73	#2730	C₂²	1	4	yes	complemented
74	#2730	C₂²	1	4	yes	complemented
75	#2727	C₂²	1	4	yes	complemented
76	#2711	C₂²	1	4	yes	complemented
77	#2710	C₂²	1	4	yes	complemented
78	#2706	C₂²	1	4	yes	complemented
79	#2705	C₂²	1	4	yes	complemented
80	#2705	C₂²	1	4	yes	complemented
81	#2694	C₂²	1	4	yes	complemented
82	#2694	C₂²	1	4	yes	complemented
83	#2692	C₂²	1	4	yes	complemented
84	#2685	C₂²	1	4	yes	complemented
85	#2685	C₂²	1	4	yes	complemented
86	#2672	C₂²	1	4	yes	complemented
87	#2671	C₂²	1	4	yes	complemented
88	#2671	C₂²	1	4	yes	complemented
89	#2668	C₂²	1	4	yes	complemented
90	#2668	C₂²	1	2	yes	complemented
91	#2667	C₂²	1	4	yes	complemented
92	#2664	C₂²	1	2	yes	complemented
93	#2663	C₂²	1	4	yes	complemented
94	#2656	C₂²	1	2	yes	complemented
95	#2651	C₂²	1	4	yes	complemented
96	#2649	C₂²	1	4	yes	complemented
97	#2636	C₂²	1	2	yes	complemented
98	#2635	C₂²	1	4	yes	complemented
99	#2627	C₂²	1	2	yes	complemented
100	#2626	C₂²	1	1	yes	characteristic
101	#2626	C₂²	1	4	yes	complemented
102	#2624	C₂²	1	2	yes	complemented
103	#2623	C₂²	1	4	yes	complemented
104	#2622	C₂²	1	2	yes	complemented
105	#2618	C₂²	1	4	yes	complemented
106	#2618	C₂²	1	2	yes	complemented
107	#2618	C₂²	1	2	yes	complemented
108	#2618	C₂²	1	2	yes	complemented
109	#2617	C₂²	1	2	yes	—
110	#2617	C₂²	1	2	yes	—
111	#2617	C₂²	1	1	yes	characteristic
112	#2607	C₂²	1	2	yes	complemented
113	#2591	C₂²	1	4	yes	complemented
114	#2589	C₂²	1	4	yes	complemented
115	#2579	C₂²	1	4	yes	complemented
116	#2564	C₂²	1	4	yes	complemented
117	#2556	C₂²	1	4	yes	complemented
118	#2553	C₂²	1	4	yes	complemented
119	#2549	C₂²	1	2	yes	complemented
120	#2543	C₂²	1	2	yes	complemented
121	#2540	C₂²	1	2	yes	complemented
122	#2539	C₂²	1	4	yes	—
123	#2539	C₂²	1	4	yes	complemented
124	#2534	C₂²	1	4	yes	—
125	#2521	C₂²	1	4	yes	complemented
126	#2504	C₂²	1	2	yes	complemented
127	#2498	C₂²	1	2	yes	complemented
128	#2488	C₂²	1	4	yes	complemented
129	#2487	C₂²	1	2	yes	complemented
130	#2481	C₂²	1	4	yes	complemented
131	#2481	C₂²	1	4	yes	complemented
132	#2481	C₂²	1	4	yes	complemented
133	#2481	C₂²	1	4	yes	complemented
134	#2480	C₂²	1	4	yes	complemented
135	#2473	C₂²	1	4	yes	complemented
136	#2473	C₂²	1	4	yes	complemented
137	#2472	C₂²	1	4	yes	—
138	#2472	C₂²	1	4	yes	complemented
139	#2472	C₂²	1	4	yes	complemented
140	#2471	C₂²	1	4	yes	complemented
141	#2467	C₂²	1	4	yes	complemented
142	#2454	C₂²	1	4	yes	complemented
143	#2450	C₂²	1	4	yes	complemented
144	#2449	C₂²	1	4	yes	complemented
145	#2449	C₂²	1	4	yes	complemented
146	#2444	C₂²	1	4	yes	complemented
147	#2443	C₂²	1	4	yes	complemented
148	#2443	C₂²	1	4	yes	complemented
149	#2443	C₂²	1	4	yes	complemented
150	#2443	C₂²	1	4	yes	complemented
151	#2442	C₂²	1	4	yes	complemented
152	#2438	C₂²	1	4	yes	complemented
153	#2437	C₂²	1	4	yes	—
154	#2437	C₂²	1	4	yes	complemented
155	#2437	C₂²	1	2	yes	complemented
156	#2430	C₂²	1	4	yes	complemented
157	#2425	C₂²	1	4	yes	complemented
158	#2425	C₂²	1	4	yes	complemented
159	#2424	C₂²	1	4	yes	—
160	#2424	C₂²	1	4	yes	—
161	#2424	C₂²	1	4	yes	complemented
162	#2424	C₂²	1	4	yes	complemented
163	#2424	C₂²	1	4	yes	complemented
164	#2419	C₂²	1	4	yes	complemented
165	#2418	C₂²	1	4	yes	—
166	#2418	C₂²	1	4	yes	complemented
167	#2418	C₂²	1	4	yes	complemented
168	#2418	C₂²	1	4	yes	complemented
169	#2417	C₂²	1	4	yes	complemented
170	#2417	C₂²	1	4	yes	complemented
171	#2417	C₂²	1	4	yes	complemented
172	#2417	C₂²	1	4	yes	complemented
173	#2416	C₂²	1	4	yes	complemented
174	#2416	C₂²	1	4	yes	complemented
175	#2416	C₂²	1	4	yes	complemented
176	#2416	C₂²	1	4	yes	complemented
177	#2416	C₂²	1	4	yes	complemented
178	#2412	C₂²	1	4	yes	—
179	#2412	C₂²	1	4	yes	—
180	#2412	C₂²	1	4	yes	complemented
181	#2411	C₂²	1	4	yes	—
182	#2410	C₂²	1	4	yes	—
183	#2410	C₂²	1	4	yes	—
184	#2410	C₂²	1	4	yes	—
185	#2410	C₂²	1	4	yes	complemented
186	#2405	C₂²	1	4	yes	complemented
187	#2404	C₂²	1	4	yes	—
188	C₂×#399	C₂²	1	2	yes	—
189	C₂×#399	C₂²	1	2	yes	—
190	C₂×#399	C₂²	1	4	yes	complemented
191	C₂×#399	C₂²	1	4	yes	complemented
192	C₂×#399	C₂²	1	2	yes	complemented
193	C₂×#399	C₂²	1	4	yes	complemented
194	C₂×#399	C₂²	1	2	yes	complemented
195	C₂×#399	C₂²	1	4	yes	complemented
196	#2364	C₂²	1	2	yes	complemented
197	#2361	C₂²	1	4	yes	complemented
198	#2359	C₂²	1	4	yes	complemented
199	#2358	C₂²	1	4	yes	—
200	#2358	C₂²	1	4	yes	complemented
201	#2352	C₂²	1	4	yes	complemented
202	#2349	C₂²	1	2	yes	complemented
203	#2345	C₂²	1	2	yes	complemented
204	#2342	C₂²	1	4	yes	complemented
205	#2339	C₂²	1	4	yes	complemented
206	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
207	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
208	#2322	C₂²	1	4	yes	complemented
209	#2321	C₂²	1	2	yes	—
210	#2316	C₂²	1	2	yes	complemented
211	#2315	C₂²	1	1	yes	characteristic
212	#2313	C₂²	1	2	yes	complemented
213	#2312	C₂²	1	1	yes	characteristic, complemented
214	#2311	C₂²	1	4	yes	complemented
215	#2308	C₂²	1	2	yes	—
216	C₄×#120	C₂²	1	4	yes	complemented
217	C₄×#120	C₂²	1	2	yes	complemented
218	C₂²×#95	C₂²	1	1	yes	characteristic, complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂²×#41	C₂³	1	4	yes	—
221	C₂³×D₄	C₂³	1	2	yes	—
222	C₂³×D₄	C₂³	1	4	yes	—
223	C₂⁴×C₄	C₂³	1	2	yes	—
224	C₂⁴×C₄	C₂³	1	1	yes	characteristic
225	C₂⁴×C₄	C₂³	1	1	yes	characteristic
226	C₂⁴×C₄	C₂³	1	2	yes	—
227	#553	—	4	8	no	—
228	#546	—	4	16	no	—
229	#539	—	4	8	no	—
230	#538	—	4	4	no	—
231	#537	—	4	8	no	—
232	#534	—	4	4	no	—
233	C₂×#126	C₂³	1	2	yes	—
234	C₂×#126	C₂³	1	4	yes	complemented
235	C₂×#126	C₂³	1	4	yes	complemented
236	C₂×#125	C₂³	1	2	yes	complemented
237	C₂×#125	C₂³	1	4	yes	complemented
238	C₂×#124	C₂³	1	2	yes	—
239	C₂×#124	C₂³	1	4	yes	—
240	#525	—	4	16	no	—
241	C₂×#123	C₂³	1	4	yes	—
242	C₂×#123	C₂³	1	4	yes	—
243	C₂×#123	C₂³	1	4	yes	—
244	C₂×#123	C₂³	1	4	yes	—
245	C₂×#123	C₂³	1	4	yes	—
246	C₂×#123	C₂³	1	4	yes	—
247	C₂×#123	C₂³	1	2	yes	—
248	C₂×#123	C₂³	1	4	yes	complemented
249	C₂×#123	C₂³	1	4	yes	complemented
250	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
252	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
253	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
254	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
255	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
256	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
257	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
258	C₂×#121	C₂³	1	2	yes	—
259	C₂×#121	C₂³	1	4	yes	—
260	C₂×#121	C₂³	1	4	yes	—
261	C₂×#121	C₂³	1	4	yes	—
262	C₂×#121	C₂³	1	2	yes	—
263	C₂×#121	C₂³	1	2	yes	—
264	C₂×#121	C₂³	1	2	yes	—
265	C₂×#121	C₂³	1	1	yes	characteristic
266	C₂×#121	C₂³	1	4	yes	—
267	C₂×#121	C₂³	1	2	yes	—
268	C₂×#121	C₂³	1	4	yes	—
269	C₂×#121	C₂³	1	2	yes	—
270	C₂×#121	C₂³	1	4	yes	—
271	C₂×#121	C₂³	1	4	yes	—
272	C₂×#121	C₂³	1	4	yes	—
273	C₂×#121	C₂³	1	4	yes	complemented
274	C₂×#121	C₂³	1	2	yes	complemented
275	C₂×#121	C₂³	1	4	yes	complemented
276	C₂×#120	—	4	8	no	—
277	C₂×#120	C₂³	1	2	yes	—
278	C₂×#120	C₂³	1	2	yes	—
279	C₂×#120	C₂³	1	4	yes	—
280	C₂×#120	C₂³	1	4	yes	—
281	C₂×#120	C₂³	1	2	yes	—
282	C₂×#120	C₂³	1	4	yes	—
283	C₂×#120	C₂³	1	4	yes	—
284	C₂×#120	C₂³	1	4	yes	—
285	C₂×#120	C₂³	1	4	yes	—
286	C₂×#120	C₂³	1	4	yes	—
287	C₂×#120	C₂³	1	4	yes	—
288	C₂×C₄×D₄	C₂³	1	2	yes	—
289	C₂×C₄×D₄	C₂³	1	4	yes	—
290	C₂×C₄×D₄	C₂³	1	4	yes	—
291	C₂×C₄×D₄	C₂³	1	4	yes	—
292	C₂×C₄×D₄	C₂³	1	4	yes	—
293	C₂×C₄×D₄	C₂³	1	4	yes	—
294	C₂×C₄×D₄	C₂³	1	4	yes	—
295	C₂×C₄×D₄	C₂³	1	4	yes	—
296	C₂×C₄×D₄	C₂³	1	4	yes	—
297	C₂×C₄×D₄	C₂³	1	4	yes	—
298	C₂×C₄×D₄	C₂³	1	2	yes	complemented
299	C₂×#117	C₂³	1	4	yes	—
300	C₂×#117	C₂³	1	2	yes	complemented
301	C₂²×C₄⋊C₄	—	4	8	no	—
302	C₂²×C₄⋊C₄	—	4	4	no	—
303	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
304	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
305	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
306	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
307	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
308	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
309	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
310	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
311	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
312	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
313	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
314	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
315	C₂²×C₂²⋊C₄	—	4	4	no	—
316	C₂²×C₂²⋊C₄	—	4	8	no	—
317	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
320	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
322	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
323	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
324	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
328	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
330	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
331	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
332	#400	C₂³	1	4	yes	complemented
333	#400	C₂³	1	4	yes	complemented
334	#400	C₂³	1	4	yes	complemented
335	#400	C₂³	1	4	yes	complemented
336	#400	C₂³	1	4	yes	complemented
337	#400	C₂³	1	4	yes	complemented
338	#400	C₂³	1	2	yes	complemented
339	#400	C₂³	1	4	yes	complemented
340	#400	C₂³	1	2	yes	complemented
341	#399	C₂³	1	4	yes	—
342	#399	C₂³	1	4	yes	—
343	#399	C₂³	1	2	yes	—
344	#399	C₂³	1	2	yes	—
345	#399	C₂³	1	4	yes	—
346	#399	C₂³	1	4	yes	—
347	#399	C₂³	1	2	yes	—
348	#399	C₂³	1	4	yes	—
349	#399	C₂³	1	4	yes	—
350	#399	C₂³	1	2	yes	—
351	#399	C₂³	1	2	yes	—
352	#399	C₂³	1	4	yes	—
353	#399	C₂³	1	4	yes	—
354	#399	C₂³	1	2	yes	—
355	#399	C₂³	1	4	yes	—
356	#399	C₂³	1	4	yes	—
357	#399	C₂³	1	2	yes	—
358	#399	C₂³	1	2	yes	—
359	#399	C₂³	1	4	yes	—
360	#399	C₂³	1	4	yes	—
361	#399	C₂³	1	4	yes	—
362	#399	C₂³	1	4	yes	—
363	#399	C₂³	1	2	yes	—
364	#399	C₂³	1	4	yes	complemented
365	#399	C₂³	1	2	yes	complemented
366	#399	C₂³	1	4	yes	complemented
367	#399	C₂³	1	2	yes	complemented
368	#398	C₂³	1	4	yes	complemented
369	#398	C₂³	1	4	yes	complemented
370	#398	C₂³	1	4	yes	complemented
371	#398	C₂³	1	4	yes	complemented
372	#398	C₂³	1	4	yes	complemented
373	#398	C₂³	1	4	yes	complemented
374	#398	C₂³	1	4	yes	complemented
375	#398	C₂³	1	4	yes	complemented
376	#398	C₂³	1	4	yes	complemented
377	#398	C₂³	1	4	yes	complemented
378	#398	C₂³	1	4	yes	complemented
379	#398	C₂³	1	4	yes	complemented
380	#398	C₂³	1	4	yes	complemented
381	#398	C₂³	1	2	yes	complemented
382	#397	C₂³	1	2	yes	—
383	#397	C₂³	1	4	yes	—
384	#397	C₂³	1	4	yes	—
385	#397	C₂³	1	4	yes	—
386	#397	C₂³	1	4	yes	—
387	#397	C₂³	1	4	yes	—
388	#397	C₂³	1	2	yes	—
389	#397	C₂³	1	2	yes	—
390	#397	C₂³	1	2	yes	complemented
391	#397	C₂³	1	4	yes	complemented
392	#397	C₂³	1	4	yes	complemented
393	#397	C₂³	1	4	yes	complemented
394	#397	C₂³	1	4	yes	complemented
395	#397	C₂³	1	4	yes	complemented
396	#397	C₂³	1	4	yes	complemented
397	#396	C₂³	1	4	yes	—
398	#396	C₂³	1	4	yes	—
399	#396	C₂³	1	4	yes	—
400	#396	C₂³	1	4	yes	—
401	#396	C₂³	1	4	yes	—
402	#396	C₂³	1	4	yes	complemented
403	#396	C₂³	1	4	yes	complemented
404	#396	C₂³	1	4	yes	complemented
405	#396	C₂³	1	4	yes	complemented
406	#396	C₂³	1	4	yes	complemented
407	#396	C₂³	1	4	yes	complemented
408	#396	C₂³	1	4	yes	complemented
409	#396	C₂³	1	4	yes	complemented
410	#396	C₂³	1	4	yes	complemented
411	#396	C₂³	1	4	yes	complemented
412	#396	C₂³	1	4	yes	complemented
413	#396	C₂³	1	4	yes	complemented
414	#396	C₂³	1	4	yes	complemented
415	#395	C₂³	1	4	yes	complemented
416	#395	C₂³	1	4	yes	complemented
417	#394	C₂³	1	4	yes	—
418	#394	C₂³	1	4	yes	—
419	#394	C₂³	1	4	yes	—
420	#394	C₂³	1	4	yes	—
421	#394	C₂³	1	4	yes	—
422	#394	C₂³	1	4	yes	—
423	#394	C₂³	1	4	yes	—
424	#394	C₂³	1	4	yes	—
425	#394	C₂³	1	4	yes	—
426	#394	C₂³	1	4	yes	—
427	#394	C₂³	1	4	yes	—
428	#394	C₂³	1	4	yes	—
429	#394	C₂³	1	4	yes	—
430	#394	C₂³	1	4	yes	—
431	#394	C₂³	1	4	yes	—
432	#394	C₂³	1	4	yes	—
433	#394	C₂³	1	4	yes	—
434	#394	C₂³	1	4	yes	complemented
435	#394	C₂³	1	4	yes	complemented
436	#394	C₂³	1	4	yes	complemented
437	#394	C₂³	1	4	yes	complemented
438	#394	C₂³	1	4	yes	complemented
439	#394	C₂³	1	4	yes	complemented
440	#394	C₂³	1	4	yes	complemented
441	#394	C₂³	1	4	yes	complemented
442	#394	C₂³	1	2	yes	complemented
443	#393	C₂³	1	4	yes	—
444	#393	C₂³	1	4	yes	—
445	#393	C₂³	1	2	yes	—
446	#393	C₂³	1	4	yes	complemented
447	#392	C₂³	1	4	yes	—
448	#392	C₂³	1	4	yes	—
449	#392	C₂³	1	4	yes	—
450	#392	C₂³	1	2	yes	—
451	#392	C₂³	1	2	yes	—
452	#392	C₂³	1	2	yes	—
453	#392	C₂³	1	4	yes	—
454	#392	C₂³	1	4	yes	—
455	#392	C₂³	1	2	yes	complemented
456	#391	C₂³	1	4	yes	complemented
457	#391	C₂³	1	4	yes	complemented
458	#391	C₂³	1	4	yes	complemented
459	#391	C₂³	1	4	yes	complemented
460	#390	C₂³	1	4	yes	—
461	#390	C₂³	1	4	yes	—
462	#390	C₂³	1	4	yes	—
463	#390	C₂³	1	4	yes	—
464	#390	C₂³	1	4	yes	—
465	#390	C₂³	1	4	yes	—
466	#390	C₂³	1	4	yes	—
467	#390	C₂³	1	4	yes	complemented
468	#390	C₂³	1	4	yes	complemented
469	#390	C₂³	1	4	yes	complemented
470	#389	C₂³	1	4	yes	complemented
471	#389	C₂³	1	4	yes	complemented
472	#389	C₂³	1	4	yes	complemented
473	#389	C₂³	1	4	yes	complemented
474	#389	C₂³	1	4	yes	complemented
475	#389	C₂³	1	4	yes	complemented
476	#389	C₂³	1	4	yes	complemented
477	#389	C₂³	1	4	yes	complemented
478	#389	C₂³	1	4	yes	complemented
479	#389	C₂³	1	4	yes	complemented
480	#388	C₂³	1	4	yes	—
481	#388	C₂³	1	4	yes	—
482	#388	C₂³	1	4	yes	—
483	#388	C₂³	1	4	yes	—
484	#388	C₂³	1	4	yes	—
485	#388	C₂³	1	4	yes	—
486	#388	C₂³	1	4	yes	—
487	#388	C₂³	1	4	yes	—
488	#388	C₂³	1	4	yes	—
489	#388	C₂³	1	4	yes	—
490	#388	C₂³	1	4	yes	—
491	#388	C₂³	1	4	yes	—
492	#388	C₂³	1	4	yes	complemented
493	#388	C₂³	1	4	yes	complemented
494	#388	C₂³	1	4	yes	complemented
495	#388	C₂³	1	4	yes	complemented
496	#388	C₂³	1	4	yes	complemented
497	#388	C₂³	1	4	yes	complemented
498	#388	C₂³	1	4	yes	complemented
499	#388	C₂³	1	4	yes	complemented
500	#388	C₂³	1	4	yes	complemented
501	#387	C₂³	1	4	yes	complemented
502	#387	C₂³	1	4	yes	complemented
503	#387	C₂³	1	4	yes	complemented
504	#387	C₂³	1	4	yes	complemented
505	#387	C₂³	1	4	yes	complemented
506	#387	C₂³	1	4	yes	complemented
507	#387	C₂³	1	4	yes	complemented
508	#387	C₂³	1	4	yes	complemented
509	#387	C₂³	1	4	yes	complemented
510	#387	C₂³	1	4	yes	complemented
511	#387	C₂³	1	4	yes	complemented
512	#387	C₂³	1	4	yes	complemented
513	#387	C₂³	1	4	yes	complemented
514	#386	C₂³	1	4	yes	—
515	#386	C₂³	1	4	yes	—
516	#386	C₂³	1	4	yes	—
517	#386	C₂³	1	4	yes	—
518	#386	C₂³	1	4	yes	—
519	#386	C₂³	1	4	yes	—
520	#386	C₂³	1	4	yes	—
521	#386	C₂³	1	4	yes	—
522	#386	C₂³	1	4	yes	—
523	#386	C₂³	1	4	yes	—
524	#386	C₂³	1	4	yes	—
525	#386	C₂³	1	4	yes	—
526	#386	C₂³	1	2	yes	—
527	#386	C₂³	1	4	yes	—
528	#386	C₂³	1	4	yes	—
529	#386	C₂³	1	2	yes	—
530	#386	C₂³	1	4	yes	—
531	#386	C₂³	1	4	yes	—
532	#386	C₂³	1	4	yes	—
533	#386	C₂³	1	4	yes	—
534	#386	C₂³	1	4	yes	—
535	#386	C₂³	1	4	yes	—
536	#386	C₂³	1	4	yes	—
537	#386	C₂³	1	4	yes	—
538	#386	C₂³	1	4	yes	—
539	#386	C₂³	1	4	yes	—
540	#386	C₂³	1	4	yes	—
541	#386	C₂³	1	4	yes	—
542	#386	C₂³	1	4	yes	—
543	#386	C₂³	1	4	yes	—
544	#386	C₂³	1	4	yes	—
545	#386	C₂³	1	4	yes	—
546	#386	C₂³	1	4	yes	—
547	#386	C₂³	1	4	yes	—
548	#386	C₂³	1	4	yes	complemented
549	#386	C₂³	1	4	yes	complemented
550	#386	C₂³	1	4	yes	complemented
551	#385	C₂³	1	4	yes	—
552	#385	C₂³	1	4	yes	—
553	#385	C₂³	1	4	yes	—
554	#385	C₂³	1	4	yes	—
555	#385	C₂³	1	2	yes	—
556	#385	C₂³	1	4	yes	—
557	#385	C₂³	1	2	yes	—
558	#385	C₂³	1	4	yes	—
559	#385	C₂³	1	4	yes	—
560	#385	C₂³	1	4	yes	—
561	#385	C₂³	1	4	yes	—
562	#385	C₂³	1	4	yes	—
563	#385	C₂³	1	4	yes	—
564	#385	C₂³	1	4	yes	—
565	#385	C₂³	1	4	yes	—
566	#385	C₂³	1	4	yes	—
567	#385	C₂³	1	4	yes	—
568	#385	C₂³	1	4	yes	complemented
569	#385	C₂³	1	4	yes	complemented
570	#385	C₂³	1	4	yes	complemented
571	#385	C₂³	1	4	yes	complemented
572	#385	C₂³	1	4	yes	complemented
573	#385	C₂³	1	4	yes	complemented
574	#382	C₂³	1	2	yes	complemented
575	#382	C₂³	1	4	yes	complemented
576	#381	C₂³	1	2	yes	—
577	#381	C₂³	1	2	yes	—
578	#381	C₂³	1	4	yes	—
579	#381	C₂³	1	4	yes	—
580	#381	C₂³	1	4	yes	complemented
581	#380	C₂³	1	1	yes	characteristic
582	#380	C₂³	1	1	yes	characteristic
583	#380	C₂³	1	2	yes	—
584	#380	C₂³	1	2	yes	—
585	#380	C₂³	1	2	yes	—
586	#380	C₂³	1	2	yes	—
587	#380	C₂³	1	2	yes	—
588	#380	C₂³	1	2	yes	—
589	#380	C₂³	1	4	yes	—
590	#380	C₂³	1	4	yes	—
591	#380	C₂³	1	4	yes	—
592	#380	C₂³	1	4	yes	—
593	#380	C₂³	1	4	yes	—
594	#380	C₂³	1	4	yes	—
595	#380	C₂³	1	4	yes	complemented
596	#380	C₂³	1	4	yes	complemented
597	#380	C₂³	1	4	yes	complemented
598	#380	C₂³	1	4	yes	complemented
599	#380	C₂³	1	4	yes	complemented
600	#380	C₂³	1	4	yes	complemented
601	#380	C₂³	1	2	yes	complemented
602	#379	C₂³	1	2	yes	—
603	#379	C₂³	1	2	yes	—
604	#379	C₂³	1	2	yes	—
605	#379	C₂³	1	2	yes	—
606	#379	C₂³	1	4	yes	—
607	#379	C₂³	1	2	yes	—
608	#379	C₂³	1	4	yes	—
609	#379	C₂³	1	4	yes	—
610	#379	C₂³	1	4	yes	—
611	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
612	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
613	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
615	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
616	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
617	C₄×C₂²⋊C₄	C₂³	1	4	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	complemented
621	C₂×#95	C₂³	1	4	yes	—
622	C₂×#95	C₂³	1	2	yes	—
623	C₂×#95	C₂³	1	2	yes	—
624	C₂×#95	C₂³	1	4	yes	—
625	C₂×#95	C₂³	1	2	yes	complemented
626	C₂⁵	—	2	4	no	—
627	C₂⁵	—	2	4	no	—
628	C₂⁵	—	4	2	no	—
629	C₂⁵	—	4	4	no	—
630	C₂⁵	—	4	4	no	—
631	C₂⁵	C₂⁴	1	1	yes	characteristic
632	C₂⁵	C₂⁴	1	4	yes	—
633	C₂⁵	C₂⁴	1	1	yes	characteristic
634	C₂⁵	C₂⁴	1	1	yes	characteristic
635	C₂⁵	C₂⁴	1	2	yes	—
636	C₂×#41	—	2	16	no	—
637	C₂×#41	—	4	8	no	—
638	C₂×#41	—	4	8	no	—
639	C₂²×Q₈	C₂⁴	1	4	yes	—
640	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
641	C₂²×D₄	—	2	8	no	—
642	C₂²×D₄	—	4	4	no	—
643	C₂²×D₄	—	4	8	no	—
644	C₂²×D₄	—	4	4	no	—
645	C₂²×D₄	—	4	8	no	—
646	C₂²×D₄	—	4	8	no	—
647	C₂²×D₄	C₂⁴	1	2	yes	—
648	C₂²×D₄	C₂⁴	1	4	yes	—
649	C₂²×D₄	C₂⁴	1	4	yes	—
650	C₂²×D₄	C₂⁴	1	4	yes	—
651	C₂²×D₄	C₂⁴	1	4	yes	—
652	C₂²×D₄	C₂⁴	1	4	yes	—
653	C₂²×D₄	C₂⁴	1	2	yes	—
654	C₂²×D₄	C₂⁴	1	4	yes	—
655	C₂²×D₄	C₂⁴	1	4	yes	—
656	C₂²×D₄	C₂⁴	1	2	yes	—
657	C₂²×D₄	C₂⁴	1	2	yes	—
658	C₂²×D₄	C₂⁴	1	2	yes	—
659	C₂²×D₄	C₂⁴	1	4	yes	—
660	C₂²×D₄	C₂⁴	1	4	yes	—
661	C₂²×D₄	C₂⁴	1	4	yes	—
662	C₂²×D₄	C₂⁴	1	1	yes	characteristic
663	C₂³×C₄	—	2	8	no	—
664	C₂³×C₄	—	2	8	no	—
665	C₂³×C₄	—	2	4	no	—
666	C₂³×C₄	—	4	4	no	—
667	C₂³×C₄	—	4	4	no	—
668	C₂³×C₄	—	4	4	no	—
669	C₂³×C₄	—	4	2	no	—
670	C₂³×C₄	—	4	4	no	—
671	C₂³×C₄	—	4	4	no	—
672	C₂³×C₄	—	4	4	no	—
673	C₂³×C₄	C₂⁴	1	2	yes	—
674	C₂³×C₄	C₂⁴	1	4	yes	—
675	C₂³×C₄	C₂⁴	1	4	yes	—
676	C₂³×C₄	C₂⁴	1	4	yes	—
677	C₂³×C₄	C₂⁴	1	2	yes	—
678	C₂³×C₄	C₂⁴	1	2	yes	—
679	C₂³×C₄	C₂⁴	1	4	yes	—
680	C₂³×C₄	C₂⁴	1	4	yes	—
681	C₂³×C₄	C₂⁴	1	1	yes	characteristic
682	C₂³×C₄	C₂⁴	1	2	yes	—
683	C₂³×C₄	C₂⁴	1	2	yes	—
684	C₂³×C₄	C₂⁴	1	1	yes	characteristic
685	C₂³×C₄	C₂⁴	1	2	yes	—
686	C₂³×C₄	C₂⁴	1	1	yes	characteristic
687	C₂³×C₄	C₂⁴	1	2	yes	—
688	C₂³×C₄	C₂⁴	1	4	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	4	yes	—
693	C₂³×C₄	C₂⁴	1	1	yes	characteristic
694	#126	—	4	4	no	—
695	#126	—	4	8	no	—
696	#126	—	4	8	no	—
697	#125	—	4	4	no	—
698	#125	—	4	8	no	—
699	#124	—	4	4	no	—
700	#124	—	4	8	no	—
701	#123	—	2	16	no	—
702	#123	—	4	8	no	—
703	#123	—	4	8	no	—
704	#123	—	4	8	no	—
705	#123	—	4	4	no	—
706	#123	—	4	8	no	—
707	#123	—	4	8	no	—
708	#123	—	4	8	no	—
709	#123	—	4	8	no	—
710	C₂²⋊Q₈	—	4	8	no	—
711	C₂²⋊Q₈	—	4	8	no	—
712	C₂²⋊Q₈	—	4	2	no	—
713	C₂²⋊Q₈	—	4	4	no	—
714	C₂²⋊Q₈	—	4	8	no	—
715	C₂²⋊Q₈	—	4	8	no	—
716	C₂²⋊Q₈	—	4	8	no	—
717	C₂²⋊Q₈	—	4	8	no	—
718	#121	—	2	8	no	—
719	#121	—	4	4	no	—
720	#121	—	4	8	no	—
721	#121	—	4	8	no	—
722	#121	—	4	8	no	—
723	#121	—	4	8	no	—
724	#121	—	4	4	no	—
725	#121	—	4	8	no	—
726	#121	—	4	8	no	—
727	#121	—	4	8	no	—
728	#121	—	4	4	no	—
729	#121	—	4	4	no	—
730	#121	—	4	8	no	—
731	#121	—	4	4	no	—
732	#121	—	4	2	no	—
733	#121	—	4	4	no	—
734	#121	—	4	8	no	—
735	#121	—	4	8	no	—
736	#120	—	2	16	no	—
737	#120	—	2	8	no	—
738	#120	—	2	8	no	—
739	#120	—	4	8	no	—
740	#120	—	4	8	no	—
741	#120	—	4	8	no	—
742	#120	—	4	8	no	—
743	#120	—	4	8	no	—
744	#120	—	4	8	no	—
745	#120	—	4	4	no	—
746	#120	—	4	8	no	—
747	C₄×D₄	—	2	8	no	—
748	C₄×D₄	—	4	4	no	—
749	C₄×D₄	—	4	8	no	—
750	C₄×D₄	—	4	8	no	—
751	C₄×D₄	—	4	8	no	—
752	C₄×D₄	—	4	8	no	—
753	C₄×D₄	—	4	8	no	—
754	C₄×D₄	—	4	8	no	—
755	C₄×D₄	—	4	8	no	—
756	C₄×D₄	—	4	8	no	—
757	C₄×D₄	—	4	8	no	—
758	#117	—	4	8	no	—
759	#117	—	4	4	no	—
760	C₂×C₄⋊C₄	—	2	8	no	—
761	C₂×C₄⋊C₄	—	2	8	no	—
762	C₂×C₄⋊C₄	—	2	8	no	—
763	C₂×C₄⋊C₄	—	4	8	no	—
764	C₂×C₄⋊C₄	—	4	8	no	—
765	C₂×C₄⋊C₄	—	4	8	no	—
766	C₂×C₄⋊C₄	—	4	8	no	—
767	C₂×C₄⋊C₄	—	4	8	no	—
768	C₂×C₄⋊C₄	—	4	8	no	—
769	C₂×C₄⋊C₄	—	4	4	no	—
770	C₂×C₄⋊C₄	—	4	4	no	—
771	C₂×C₄⋊C₄	—	4	4	no	—
772	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
773	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₄⋊C₄	C₂⁴	1	2	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	2	yes	—
780	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
781	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
782	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
783	C₂×C₄⋊C₄	C₂⁴	1	2	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	2	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×C₄⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
802	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
803	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
805	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
806	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
807	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
809	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
811	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
813	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
814	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊C₄	—	2	4	no	—
816	C₂×C₂²⋊C₄	—	2	4	no	—
817	C₂×C₂²⋊C₄	—	2	16	no	—
818	C₂×C₂²⋊C₄	—	4	8	no	—
819	C₂×C₂²⋊C₄	—	4	8	no	—
820	C₂×C₂²⋊C₄	—	4	8	no	—
821	C₂×C₂²⋊C₄	—	4	8	no	—
822	C₂×C₂²⋊C₄	—	4	8	no	—
823	C₂×C₂²⋊C₄	—	4	8	no	—
824	C₂×C₂²⋊C₄	—	4	8	no	—
825	C₂×C₂²⋊C₄	—	4	8	no	—
826	C₂×C₂²⋊C₄	—	4	4	no	—
827	C₂×C₂²⋊C₄	—	4	8	no	—
828	C₂×C₂²⋊C₄	—	4	2	no	—
829	C₂×C₂²⋊C₄	—	4	2	no	—
830	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	4	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	2	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	2	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
879	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
891	C₂×C₄²	C₂⁴	1	2	yes	—
892	C₂×C₄²	C₂⁴	1	4	yes	—
893	C₂×C₄²	C₂⁴	1	4	yes	—
894	C₂×C₄²	C₂⁴	1	4	yes	—
895	C₂×C₄²	C₂⁴	1	4	yes	—
896	C₂×C₄²	C₂⁴	1	4	yes	—
897	C₂×C₄²	C₂⁴	1	4	yes	—
898	#95	C₂⁴	1	2	yes	—
899	#95	C₂⁴	1	4	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	2	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	4	yes	—
910	#95	C₂⁴	1	4	yes	—
911	#95	C₂⁴	1	4	yes	—
912	#95	C₂⁴	1	4	yes	—
913	#95	C₂⁴	1	4	yes	—
914	#95	C₂⁴	1	4	yes	—
915	#95	C₂⁴	1	4	yes	—
916	#95	C₂⁴	1	4	yes	—
917	#95	C₂⁴	1	4	yes	—
918	#95	C₂⁴	1	4	yes	—
919	#95	C₂⁴	1	4	yes	—
920	#95	C₂⁴	1	4	yes	—
921	#95	C₂⁴	1	2	yes	—
922	#95	C₂⁴	1	4	yes	—
923	#95	C₂⁴	1	4	yes	—
924	#95	C₂⁴	1	2	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	2	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	4	yes	—
938	C₂⁴	—	2	2	no	—
939	C₂⁴	—	2	4	no	—
940	C₂⁴	—	2	2	no	—
941	C₂⁴	—	2	4	no	—
942	C₂⁴	—	2	2	no	—
943	C₂⁴	—	2	2	no	—
944	C₂⁴	—	2	8	no	—
945	C₂⁴	—	2	2	no	—
946	C₂⁴	—	2	8	no	—
947	C₂⁴	—	2	8	no	—
948	C₂⁴	—	2	8	no	—
949	C₂⁴	—	2	2	no	—
950	C₂⁴	—	2	2	no	—
951	C₂⁴	—	2	4	no	—
952	C₂⁴	—	4	2	no	—
953	C₂⁴	—	4	4	no	—
954	C₂⁴	—	4	4	no	—
955	C₂⁴	—	4	2	no	—
956	C₂⁴	—	4	2	no	—
957	C₂⁴	—	4	4	no	—
958	C₂⁴	—	4	2	no	—
959	C₂⁴	—	4	2	no	—
960	C₂⁴	—	4	4	no	—
961	C₂⁴	—	4	4	no	—
962	C₂⁴	—	4	2	no	—
963	C₂⁴	—	4	16	no	—
964	C₂⁴	—	4	32	no	—
965	C₂⁴	—	8	16	no	—
966	C₂⁴	—	8	8	no	—
967	C₂⁴	—	8	8	no	—
968	C₂⁴	H(5,𝔽₂)	1	4	yes	—
969	C₂⁴	2₋¹⁺⁴	1	4	yes	—
970	C₂⁴	C₂⁵	1	2	yes	—
971	C₂⁴	C₂⁵	1	4	yes	—
972	C₂⁴	C₂⁵	1	2	yes	—
973	C₂⁴	C₂⁵	1	2	yes	—
974	C₂⁴	C₂⁵	1	1	yes	characteristic
975	C₂⁴	C₂⁵	1	2	yes	—
976	#41	—	8	32	no	—
977	C₂×Q₈	—	2	8	no	—
978	C₂×Q₈	—	4	4	no	—
979	C₂×Q₈	—	4	4	no	—
980	C₂×Q₈	—	4	2	no	—
981	C₂×Q₈	—	4	1	no	—
982	C₂×D₄	—	2	4	no	—
983	C₂×D₄	—	2	4	no	—
984	C₂×D₄	—	2	8	no	—
985	C₂×D₄	—	2	8	no	—
986	C₂×D₄	—	2	8	no	—
987	C₂×D₄	—	2	8	no	—
988	C₂×D₄	—	2	8	no	—
989	C₂×D₄	—	2	8	no	—
990	C₂×D₄	—	2	8	no	—
991	C₂×D₄	—	2	8	no	—
992	C₂×D₄	—	2	4	no	—
993	C₂×D₄	—	2	8	no	—
994	C₂×D₄	—	2	8	no	—
995	C₂×D₄	—	2	8	no	—
996	C₂×D₄	—	2	8	no	—
997	C₂×D₄	—	2	8	no	—
998	C₂×D₄	—	2	8	no	—
999	C₂×D₄	—	2	4	no	—
1000	C₂×D₄	—	2	8	no	—
1001	C₂×D₄	—	4	4	no	—
1002	C₂×D₄	—	4	4	no	—
1003	C₂×D₄	—	4	4	no	—
1004	C₂×D₄	—	4	4	no	—
1005	C₂×D₄	—	4	4	no	—
1006	C₂×D₄	—	4	4	no	—
1007	C₂×D₄	—	4	4	no	—
1008	C₂×D₄	—	4	4	no	—
1009	C₂×D₄	—	4	4	no	—
1010	C₂×D₄	—	4	4	no	—
1011	C₂×D₄	—	4	4	no	—
1012	C₂×D₄	—	4	4	no	—
1013	C₂×D₄	—	4	4	no	—
1014	C₂×D₄	—	4	2	no	—
1015	C₂×D₄	—	4	4	no	—
1016	C₂×D₄	—	4	4	no	—
1017	C₂×D₄	—	4	2	no	—
1018	C₂×D₄	—	4	2	no	—
1019	C₂×D₄	—	4	4	no	—
1020	C₂×D₄	—	4	1	no	—
1021	C₂×D₄	—	4	2	no	—
1022	C₂×D₄	—	4	4	no	—
1023	C₂×D₄	—	4	2	no	—
1024	C₂×D₄	—	4	4	no	—
1025	C₂×D₄	—	4	2	no	—
1026	C₂×D₄	—	8	16	no	—
1027	C₂×D₄	—	8	32	no	—
1028	C₂²×C₄	—	2	4	no	—
1029	C₂²×C₄	—	2	4	no	—
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	4	no	—
1032	C₂²×C₄	—	2	8	no	—
1033	C₂²×C₄	—	2	8	no	—
1034	C₂²×C₄	—	2	4	no	—
1035	C₂²×C₄	—	2	8	no	—
1036	C₂²×C₄	—	2	4	no	—
1037	C₂²×C₄	—	2	8	no	—
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	2	2	no	—
1040	C₂²×C₄	—	2	4	no	—
1041	C₂²×C₄	—	2	8	no	—
1042	C₂²×C₄	—	2	4	no	—
1043	C₂²×C₄	—	2	4	no	—
1044	C₂²×C₄	—	2	4	no	—
1045	C₂²×C₄	—	2	4	no	—
1046	C₂²×C₄	—	2	8	no	—
1047	C₂²×C₄	—	2	8	no	—
1048	C₂²×C₄	—	2	8	no	—
1049	C₂²×C₄	—	2	8	no	—
1050	C₂²×C₄	—	2	4	no	—
1051	C₂²×C₄	—	2	8	no	—
1052	C₂²×C₄	—	4	2	no	—
1053	C₂²×C₄	—	4	4	no	—
1054	C₂²×C₄	—	4	4	no	—
1055	C₂²×C₄	—	4	4	no	—
1056	C₂²×C₄	—	4	2	no	—
1057	C₂²×C₄	—	4	2	no	—
1058	C₂²×C₄	—	4	4	no	—
1059	C₂²×C₄	—	4	2	no	—
1060	C₂²×C₄	—	4	2	no	—
1061	C₂²×C₄	—	4	2	no	—
1062	C₂²×C₄	—	4	2	no	—
1063	C₂²×C₄	—	4	4	no	—
1064	C₂²×C₄	—	4	2	no	—
1065	C₂²×C₄	—	4	4	no	—
1066	C₂²×C₄	—	4	4	no	—
1067	C₂²×C₄	—	4	4	no	—
1068	C₂²×C₄	—	4	2	no	—
1069	C₂²×C₄	—	4	2	no	—
1070	C₂²×C₄	—	4	2	no	—
1071	C₂²×C₄	—	4	2	no	—
1072	C₂²×C₄	—	4	2	no	—
1073	C₂²×C₄	—	4	4	no	—
1074	C₂²×C₄	—	4	4	no	—
1075	C₂²×C₄	—	4	4	no	—
1076	C₂²×C₄	—	4	4	no	—
1077	C₂²×C₄	—	4	2	no	—
1078	C₂²×C₄	—	4	4	no	—
1079	C₂²×C₄	—	4	4	no	—
1080	C₂²×C₄	—	4	4	no	—
1081	C₂²×C₄	—	4	4	no	—
1082	C₂²×C₄	—	4	4	no	—
1083	C₂²×C₄	—	4	4	no	—
1084	C₂²×C₄	—	4	32	no	—
1085	C₂²×C₄	—	4	16	no	—
1086	C₂²×C₄	—	8	16	no	—
1087	C₂²×C₄	—	8	8	no	—
1088	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
1089	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1090	C₂²×C₄	C₂⁵	1	4	yes	—
1091	C₂²×C₄	C₂⁵	1	4	yes	—
1092	C₂²×C₄	C₂⁵	1	4	yes	—
1093	C₂²×C₄	C₂⁵	1	2	yes	—
1094	C₂²×C₄	C₂⁵	1	2	yes	—
1095	C₂²×C₄	C₂⁵	1	2	yes	—
1096	C₂²×C₄	C₂⁵	1	4	yes	—
1097	C₂²×C₄	C₂⁵	1	4	yes	—
1098	C₂²×C₄	C₂⁵	1	4	yes	—
1099	C₂²×C₄	C₂⁵	1	4	yes	—
1100	C₂²×C₄	C₂⁵	1	2	yes	—
1101	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1102	C₂²×C₄	C₂⁵	1	2	yes	—
1103	C₂²×C₄	C₂⁵	1	4	yes	—
1104	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1105	C₂²×C₄	C₂⁵	1	2	yes	—
1106	C₂²×C₄	C₂⁵	1	4	yes	—
1107	C₄⋊C₄	—	2	4	no	—
1108	C₄⋊C₄	—	2	8	no	—
1109	C₄⋊C₄	—	2	8	no	—
1110	C₄⋊C₄	—	2	4	no	—
1111	C₄⋊C₄	—	2	8	no	—
1112	C₄⋊C₄	—	2	8	no	—
1113	C₄⋊C₄	—	2	8	no	—
1114	C₄⋊C₄	—	2	4	no	—
1115	C₄⋊C₄	—	2	4	no	—
1116	C₄⋊C₄	—	2	8	no	—
1117	C₄⋊C₄	—	2	8	no	—
1118	C₄⋊C₄	—	4	2	no	—
1119	C₄⋊C₄	—	4	4	no	—
1120	C₄⋊C₄	—	4	4	no	—
1121	C₄⋊C₄	—	4	4	no	—
1122	C₄⋊C₄	—	4	4	no	—
1123	C₄⋊C₄	—	4	4	no	—
1124	C₄⋊C₄	—	4	2	no	—
1125	C₄⋊C₄	—	4	4	no	—
1126	C₄⋊C₄	—	4	4	no	—
1127	C₄⋊C₄	—	4	4	no	—
1128	C₄⋊C₄	—	4	4	no	—
1129	C₄⋊C₄	—	4	4	no	—
1130	C₄⋊C₄	—	4	4	no	—
1131	C₄⋊C₄	—	4	4	no	—
1132	C₄⋊C₄	—	4	4	no	—
1133	C₄⋊C₄	—	4	4	no	—
1134	C₄⋊C₄	—	4	4	no	—
1135	C₄⋊C₄	—	4	4	no	—
1136	C₄⋊C₄	—	4	2	no	—
1137	C₄⋊C₄	—	4	4	no	—
1138	C₄⋊C₄	—	4	2	no	—
1139	C₄⋊C₄	—	4	4	no	—
1140	C₄⋊C₄	—	4	2	no	—
1141	C₄⋊C₄	—	4	2	no	—
1142	C₄⋊C₄	—	4	2	no	—
1143	C₄⋊C₄	—	4	4	no	—
1144	C₄⋊C₄	—	4	1	no	—
1145	C₄⋊C₄	—	4	1	no	—
1146	C₄⋊C₄	—	4	4	no	—
1147	C₄⋊C₄	—	4	2	no	—
1148	C₄⋊C₄	—	4	4	no	—
1149	C₄⋊C₄	—	4	4	no	—
1150	C₂²⋊C₄	—	2	8	no	—
1151	C₂²⋊C₄	—	2	8	no	—
1152	C₂²⋊C₄	—	2	8	no	—
1153	C₂²⋊C₄	—	2	8	no	—
1154	C₂²⋊C₄	—	2	4	no	—
1155	C₂²⋊C₄	—	2	4	no	—
1156	C₂²⋊C₄	—	2	8	no	—
1157	C₂²⋊C₄	—	2	8	no	—
1158	C₂²⋊C₄	—	2	4	no	—
1159	C₂²⋊C₄	—	2	8	no	—
1160	C₂²⋊C₄	—	2	8	no	—
1161	C₂²⋊C₄	—	2	8	no	—
1162	C₂²⋊C₄	—	2	8	no	—
1163	C₂²⋊C₄	—	2	8	no	—
1164	C₂²⋊C₄	—	2	8	no	—
1165	C₂²⋊C₄	—	2	4	no	—
1166	C₂²⋊C₄	—	2	4	no	—
1167	C₂²⋊C₄	—	2	8	no	—
1168	C₂²⋊C₄	—	2	4	no	—
1169	C₂²⋊C₄	—	2	8	no	—
1170	C₂²⋊C₄	—	2	8	no	—
1171	C₂²⋊C₄	—	4	4	no	—
1172	C₂²⋊C₄	—	4	4	no	—
1173	C₂²⋊C₄	—	4	4	no	—
1174	C₂²⋊C₄	—	4	2	no	—
1175	C₂²⋊C₄	—	4	4	no	—
1176	C₂²⋊C₄	—	4	4	no	—
1177	C₂²⋊C₄	—	4	2	no	—
1178	C₂²⋊C₄	—	4	2	no	—
1179	C₂²⋊C₄	—	4	4	no	—
1180	C₂²⋊C₄	—	4	4	no	—
1181	C₂²⋊C₄	—	4	2	no	—
1182	C₂²⋊C₄	—	4	4	no	—
1183	C₂²⋊C₄	—	4	4	no	—
1184	C₂²⋊C₄	—	4	4	no	—
1185	C₂²⋊C₄	—	4	4	no	—
1186	C₂²⋊C₄	—	4	4	no	—
1187	C₂²⋊C₄	—	4	4	no	—
1188	C₂²⋊C₄	—	4	4	no	—
1189	C₂²⋊C₄	—	4	4	no	—
1190	C₂²⋊C₄	—	4	4	no	—
1191	C₂²⋊C₄	—	4	4	no	—
1192	C₂²⋊C₄	—	4	4	no	—
1193	C₂²⋊C₄	—	4	4	no	—
1194	C₂²⋊C₄	—	4	4	no	—
1195	C₂²⋊C₄	—	4	4	no	—
1196	C₂²⋊C₄	—	4	4	no	—
1197	C₂²⋊C₄	—	4	4	no	—
1198	C₂²⋊C₄	—	4	4	no	—
1199	C₂²⋊C₄	—	4	2	no	—
1200	C₂²⋊C₄	—	4	2	no	—
1201	C₂²⋊C₄	—	4	4	no	—
1202	C₂²⋊C₄	—	4	4	no	—
1203	C₂²⋊C₄	—	4	4	no	—
1204	C₂²⋊C₄	—	4	4	no	—
1205	C₂²⋊C₄	—	4	4	no	—
1206	C₂²⋊C₄	—	4	4	no	—
1207	C₂²⋊C₄	—	4	4	no	—
1208	C₂²⋊C₄	—	4	2	no	—
1209	C₂²⋊C₄	—	4	4	no	—
1210	C₂²⋊C₄	—	4	4	no	—
1211	C₄²	—	2	4	no	—
1212	C₄²	—	4	4	no	—
1213	C₄²	—	4	4	no	—
1214	C₄²	—	4	4	no	—
1215	C₄²	—	4	4	no	—
1216	C₄²	—	4	4	no	—
1217	C₄²	—	4	4	no	—
1218	C₂³	—	2	8	no	—
1219	C₂³	—	2	8	no	—
1220	C₂³	—	2	16	no	—
1221	C₂³	—	2	2	no	—
1222	C₂³	—	2	2	no	—
1223	C₂³	—	2	2	no	—
1224	C₂³	—	2	2	no	—
1225	C₂³	—	2	2	no	—
1226	C₂³	—	2	2	no	—
1227	C₂³	—	2	16	no	—
1228	C₂³	—	2	8	no	—
1229	C₂³	—	2	4	no	—
1230	C₂³	—	2	2	no	—
1231	C₂³	—	2	2	no	—
1232	C₂³	—	2	4	no	—
1233	C₂³	—	2	8	no	—
1234	C₂³	—	2	2	no	—
1235	C₂³	—	2	4	no	—
1236	C₂³	—	2	4	no	—
1237	C₂³	—	2	2	no	—
1238	C₂³	—	2	4	no	—
1239	C₂³	—	2	2	no	—
1240	C₂³	—	2	2	no	—
1241	C₂³	—	2	4	no	—
1242	C₂³	—	2	4	no	—
1243	C₂³	—	2	4	no	—
1244	C₂³	—	2	2	no	—
1245	C₂³	—	2	4	no	—
1246	C₂³	—	2	2	no	—
1247	C₂³	—	2	4	no	—
1248	C₂³	—	2	4	no	—
1249	C₂³	—	2	4	no	—
1250	C₂³	—	2	4	no	—
1251	C₂³	—	4	8	no	—
1252	C₂³	—	4	16	no	—
1253	C₂³	—	4	16	no	—
1254	C₂³	—	4	16	no	—
1255	C₂³	—	4	8	no	—
1256	C₂³	—	4	16	no	—
1257	C₂³	—	4	4	no	—
1258	C₂³	—	8	4	no	—
1259	C₂³	—	8	8	no	—
1260	C₂³	—	8	4	no	—
1261	C₂³	—	8	2	no	—
1262	C₂³	—	8	2	no	—
1263	C₂³	—	8	8	no	—
1264	C₂³	—	8	2	no	—
1265	C₂³	—	8	8	no	—
1266	C₂³	—	8	2	no	—
1267	C₂³	—	8	4	no	—
1268	C₂³	—	8	8	no	—
1269	C₂³	—	8	64	no	—
1270	C₂³	—	8	8	no	—
1271	C₂³	—	16	2	no	—
1272	C₂³	—	16	2	no	—
1273	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1274	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1275	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1276	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1277	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1278	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
1279	C₂³	#585	1	4	yes	—
1280	C₂³	C₂⁶	1	1	yes	characteristic
1281	Q₈	—	8	8	no	—
1282	Q₈	—	16	1	no	—
1283	D₄	—	4	16	no	—
1284	D₄	—	4	16	no	—
1285	D₄	—	4	16	no	—
1286	D₄	—	4	8	no	—
1287	D₄	—	4	16	no	—
1288	D₄	—	8	4	no	—
1289	D₄	—	8	8	no	—
1290	D₄	—	8	8	no	—
1291	D₄	—	8	8	no	—
1292	D₄	—	8	8	no	—
1293	D₄	—	8	8	no	—
1294	D₄	—	16	2	no	—
1295	D₄	—	16	2	no	—
1296	D₄	—	16	4	no	—
1297	D₄	—	16	1	no	—
1298	D₄	—	16	2	no	—
1299	C₂×C₄	—	2	4	no	—
1300	C₂×C₄	—	2	4	no	—
1301	C₂×C₄	—	2	4	no	—
1302	C₂×C₄	—	2	16	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	2	no	—
1305	C₂×C₄	—	2	4	no	—
1306	C₂×C₄	—	2	2	no	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	4	no	—
1309	C₂×C₄	—	2	4	no	—
1310	C₂×C₄	—	2	4	no	—
1311	C₂×C₄	—	2	4	no	—
1312	C₂×C₄	—	2	4	no	—
1313	C₂×C₄	—	2	4	no	—
1314	C₂×C₄	—	2	4	no	—
1315	C₂×C₄	—	2	4	no	—
1316	C₂×C₄	—	2	4	no	—
1317	C₂×C₄	—	2	2	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	4	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	4	no	—
1322	C₂×C₄	—	2	4	no	—
1323	C₂×C₄	—	2	4	no	—
1324	C₂×C₄	—	2	4	no	—
1325	C₂×C₄	—	2	4	no	—
1326	C₂×C₄	—	2	2	no	—
1327	C₂×C₄	—	2	2	no	—
1328	C₂×C₄	—	2	4	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	2	2	no	—
1331	C₂×C₄	—	2	4	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	4	no	—
1335	C₂×C₄	—	2	4	no	—
1336	C₂×C₄	—	2	4	no	—
1337	C₂×C₄	—	2	4	no	—
1338	C₂×C₄	—	2	4	no	—
1339	C₂×C₄	—	2	4	no	—
1340	C₂×C₄	—	2	4	no	—
1341	C₂×C₄	—	2	4	no	—
1342	C₂×C₄	—	2	4	no	—
1343	C₂×C₄	—	4	4	no	—
1344	C₂×C₄	—	4	16	no	—
1345	C₂×C₄	—	4	16	no	—
1346	C₂×C₄	—	4	16	no	—
1347	C₂×C₄	—	4	4	no	—
1348	C₂×C₄	—	4	8	no	—
1349	C₂×C₄	—	8	4	no	—
1350	C₂×C₄	—	8	8	no	—
1351	C₂×C₄	—	8	8	no	—
1352	C₂×C₄	—	8	4	no	—
1353	C₂×C₄	—	8	8	no	—
1354	C₂×C₄	—	8	8	no	—
1355	C₂×C₄	—	8	2	no	—
1356	C₂×C₄	—	8	4	no	—
1357	C₂×C₄	—	8	4	no	—
1358	C₂×C₄	—	8	2	no	—
1359	C₂×C₄	—	8	4	no	—
1360	C₂×C₄	—	8	4	no	—
1361	C₂×C₄	—	8	8	no	—
1362	C₂×C₄	—	16	4	no	—
1363	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1364	C₂×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1365	C₂²	—	2	32	no	—
1366	C₂²	—	2	4	no	—
1367	C₂²	—	2	4	no	—
1368	C₂²	—	2	4	no	—
1369	C₂²	—	2	4	no	—
1370	C₂²	—	2	4	no	—
1371	C₂²	—	2	4	no	—
1372	C₂²	—	2	2	no	—
1373	C₂²	—	2	4	no	—
1374	C₂²	—	2	4	no	—
1375	C₂²	—	2	2	no	—
1376	C₂²	—	2	4	no	—
1377	C₂²	—	2	8	no	—
1378	C₂²	—	4	4	no	—
1379	C₂²	—	4	2	no	—
1380	C₂²	—	4	2	no	—
1381	C₂²	—	4	4	no	—
1382	C₂²	—	4	4	no	—
1383	C₂²	—	4	4	no	—
1384	C₂²	—	4	4	no	—
1385	C₂²	—	4	4	no	—
1386	C₂²	—	4	2	no	—
1387	C₂²	—	4	2	no	—
1388	C₂²	—	4	4	no	—
1389	C₂²	—	4	4	no	—
1390	C₂²	—	4	4	no	—
1391	C₂²	—	4	4	no	—
1392	C₂²	—	4	2	no	—
1393	C₂²	—	4	4	no	—
1394	C₂²	—	4	2	no	—
1395	C₂²	—	4	4	no	—
1396	C₂²	—	4	2	no	—
1397	C₂²	—	4	2	no	—
1398	C₂²	—	8	8	no	—
1399	C₂²	—	8	32	no	—
1400	C₂²	—	8	8	no	—
1401	C₂²	—	16	8	no	—
1402	C₂²	#3534	1	8	yes	—
1403	C₂²	#3536	1	4	yes	—
1404	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1405	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1406	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1407	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1408	C₂²	C₂×#585	1	2	yes	—
1409	C₄	—	2	8	no	—
1410	C₄	—	2	4	no	—
1411	C₄	—	4	4	no	—
1412	C₄	—	4	4	no	—
1413	C₄	—	4	4	no	—
1414	C₄	—	4	4	no	—
1415	C₄	—	4	4	no	—
1416	C₄	—	4	2	no	—
1417	C₄	—	4	4	no	—
1418	C₄	—	4	2	no	—
1419	C₄	—	4	2	no	—
1420	C₄	—	4	4	no	—
1421	C₄	—	4	2	no	—
1422	C₄	—	4	4	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	2	no	—
1426	C₂	—	2	8	no	—
1427	C₂	—	2	4	no	—
1428	C₂	—	4	4	no	—
1429	C₂	—	8	2	no	—
1430	C₂	—	8	2	no	—
1431	C₂	—	8	4	no	—
1432	C₂	C₂×#3534	1	2	yes	—
1433	C₂	C₂×#3536	1	1	yes	characteristic
1434	C₂	#62819	1	2	yes	—
1435	C₂	#62820	1	1	yes	characteristic
1436	C₂	#62832	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. #52548	C₂	semidirect
2. #52547	C₂	semidirect
3. #52425	C₂	semidirect
4. #44022	C₂	semidirect
5. #43975	C₂	semidirect
6. #43512	C₂	semidirect
7. #43491	C₂	semidirect
8. #41974	C₂	semidirect
9. #41952	C₂	semidirect
10. #41390	C₂	semidirect
11. #41368	C₂	semidirect
12. #40846	C₂	semidirect
13. #40817	C₂	semidirect
14. #40662	C₂	semidirect
15. #40612	C₂	semidirect
16. #36581	C₂	semidirect
17. #36146	C₂	semidirect
18. #36098	C₂	semidirect
19. #35223	C₂	semidirect
20. #34989	C₂	semidirect
21. #34988	C₂	semidirect
22. #34981	C₂	semidirect
23. C₂²×#399	C₂	semidirect
24. C₂×#553	C₂²	semidirect
25. C₂×#546	C₂²	semidirect
26. C₂×#539	C₂²	semidirect
27. C₂×#538	C₂²	semidirect
28. C₂×#537	C₂²	semidirect
30. C₂×#525	C₂²	semidirect
32. C₂³×C₄⋊C₄	C₂²	semidirect
33. C₂³×C₄⋊C₄	C₂²	semidirect
36. #2849	C₂²	semidirect
37. #2848	C₂²	semidirect
40. #2847	C₂²	semidirect
41. #2847	C₂²	semidirect
43. #2842	C₂²	semidirect
44. #2841	C₂²	semidirect
45. #2837	C₂²	semidirect
46. #2837	C₂²	semidirect
47. #2837	C₂²	semidirect
48. #2836	C₂²	semidirect
49. #2829	C₂²	semidirect
50. #2829	C₂²	semidirect
51. #2827	C₂²	semidirect
52. #2826	C₂²	semidirect
53. #2820	C₂²	semidirect
54. #2816	C₂²	semidirect
55. #2813	C₂²	semidirect
56. #2813	C₂²	semidirect
57. #2807	C₂²	semidirect
58. #2798	C₂²	semidirect
59. #2780	C₂²	semidirect
60. #2773	C₂²	semidirect
61. #2771	C₂²	semidirect
62. #2768	C₂²	semidirect
63. #2754	C₂²	semidirect
64. #2752	C₂²	semidirect
65. #2748	C₂²	semidirect
66. #2748	C₂²	semidirect
67. #2743	C₂²	semidirect
68. #2741	C₂²	semidirect
69. #2740	C₂²	semidirect
70. #2735	C₂²	semidirect
71. #2732	C₂²	semidirect
72. #2732	C₂²	semidirect
73. #2730	C₂²	semidirect
74. #2730	C₂²	semidirect
75. #2727	C₂²	semidirect
76. #2711	C₂²	semidirect
77. #2710	C₂²	semidirect
78. #2706	C₂²	semidirect
79. #2705	C₂²	semidirect
80. #2705	C₂²	semidirect
81. #2694	C₂²	semidirect
82. #2694	C₂²	semidirect
83. #2692	C₂²	semidirect
84. #2685	C₂²	semidirect
85. #2685	C₂²	semidirect
86. #2672	C₂²	semidirect
87. #2671	C₂²	semidirect
88. #2671	C₂²	semidirect
89. #2668	C₂²	semidirect
90. #2668	C₂²	semidirect
91. #2667	C₂²	semidirect
92. #2664	C₂²	semidirect
93. #2663	C₂²	semidirect
94. #2656	C₂²	semidirect
95. #2651	C₂²	semidirect
96. #2649	C₂²	semidirect
97. #2636	C₂²	semidirect
98. #2635	C₂²	semidirect
99. #2627	C₂²	semidirect
101. #2626	C₂²	semidirect
102. #2624	C₂²	semidirect
103. #2623	C₂²	semidirect
104. #2622	C₂²	semidirect
105. #2618	C₂²	semidirect
106. #2618	C₂²	semidirect
107. #2618	C₂²	semidirect
108. #2618	C₂²	semidirect
112. #2607	C₂²	semidirect
113. #2591	C₂²	semidirect
114. #2589	C₂²	semidirect
115. #2579	C₂²	semidirect
116. #2564	C₂²	semidirect
117. #2556	C₂²	semidirect
118. #2553	C₂²	semidirect
119. #2549	C₂²	semidirect
120. #2543	C₂²	semidirect
121. #2540	C₂²	semidirect
123. #2539	C₂²	semidirect
125. #2521	C₂²	semidirect
126. #2504	C₂²	semidirect
127. #2498	C₂²	semidirect
128. #2488	C₂²	semidirect
129. #2487	C₂²	semidirect
130. #2481	C₂²	semidirect
131. #2481	C₂²	semidirect
132. #2481	C₂²	semidirect
133. #2481	C₂²	semidirect
134. #2480	C₂²	semidirect
135. #2473	C₂²	semidirect
136. #2473	C₂²	semidirect
138. #2472	C₂²	semidirect
139. #2472	C₂²	semidirect
140. #2471	C₂²	semidirect
141. #2467	C₂²	semidirect
142. #2454	C₂²	semidirect
143. #2450	C₂²	semidirect
144. #2449	C₂²	semidirect
145. #2449	C₂²	semidirect
146. #2444	C₂²	semidirect
147. #2443	C₂²	semidirect
148. #2443	C₂²	semidirect
149. #2443	C₂²	semidirect
150. #2443	C₂²	semidirect
151. #2442	C₂²	semidirect
152. #2438	C₂²	semidirect
154. #2437	C₂²	semidirect
155. #2437	C₂²	semidirect
156. #2430	C₂²	semidirect
157. #2425	C₂²	semidirect
158. #2425	C₂²	semidirect
161. #2424	C₂²	semidirect
162. #2424	C₂²	semidirect
163. #2424	C₂²	semidirect
164. #2419	C₂²	semidirect
166. #2418	C₂²	semidirect
167. #2418	C₂²	semidirect
168. #2418	C₂²	semidirect
169. #2417	C₂²	semidirect
170. #2417	C₂²	semidirect
171. #2417	C₂²	semidirect
172. #2417	C₂²	semidirect
173. #2416	C₂²	semidirect
174. #2416	C₂²	semidirect
175. #2416	C₂²	semidirect
176. #2416	C₂²	semidirect
177. #2416	C₂²	semidirect
180. #2412	C₂²	semidirect
185. #2410	C₂²	semidirect
186. #2405	C₂²	semidirect
190. C₂×#399	C₂²	semidirect
191. C₂×#399	C₂²	semidirect
192. C₂×#399	C₂²	semidirect
193. C₂×#399	C₂²	semidirect
194. C₂×#399	C₂²	semidirect
195. C₂×#399	C₂²	semidirect
196. #2364	C₂²	semidirect
197. #2361	C₂²	semidirect
198. #2359	C₂²	semidirect
200. #2358	C₂²	semidirect
201. #2352	C₂²	semidirect
202. #2349	C₂²	semidirect
203. #2345	C₂²	semidirect
204. #2342	C₂²	semidirect
205. #2339	C₂²	semidirect
207. D₄×C₂²⋊C₄	C₂²	semidirect
208. #2322	C₂²	semidirect
210. #2316	C₂²	semidirect
212. #2313	C₂²	semidirect
213. #2312	C₂²	semidirect
214. #2311	C₂²	semidirect
216. C₄×#120	C₂²	semidirect
217. C₄×#120	C₂²	semidirect
218. C₂²×#95	C₂²	semidirect
234. C₂×#126	C₂³	semidirect
235. C₂×#126	C₂³	semidirect
236. C₂×#125	C₂³	semidirect
237. C₂×#125	C₂³	semidirect
248. C₂×#123	C₂³	semidirect
249. C₂×#123	C₂³	semidirect
255. C₂×C₂²⋊Q₈	C₂³	semidirect
256. C₂×C₂²⋊Q₈	C₂³	semidirect
257. C₂×C₂²⋊Q₈	C₂³	semidirect
273. C₂×#121	C₂³	semidirect
274. C₂×#121	C₂³	semidirect
275. C₂×#121	C₂³	semidirect
298. C₂×C₄×D₄	C₂³	semidirect
300. C₂×#117	C₂³	semidirect
332. #400	C₂³	semidirect
333. #400	C₂³	semidirect
334. #400	C₂³	semidirect
335. #400	C₂³	semidirect
336. #400	C₂³	semidirect
337. #400	C₂³	semidirect
338. #400	C₂³	semidirect
339. #400	C₂³	semidirect
340. #400	C₂³	semidirect
364. #399	C₂³	semidirect
365. #399	C₂³	semidirect
366. #399	C₂³	semidirect
367. #399	C₂³	semidirect
368. #398	C₂³	semidirect
369. #398	C₂³	semidirect
370. #398	C₂³	semidirect
371. #398	C₂³	semidirect
372. #398	C₂³	semidirect
373. #398	C₂³	semidirect
374. #398	C₂³	semidirect
375. #398	C₂³	semidirect
376. #398	C₂³	semidirect
377. #398	C₂³	semidirect
378. #398	C₂³	semidirect
379. #398	C₂³	semidirect
380. #398	C₂³	semidirect
381. #398	C₂³	semidirect
390. #397	C₂³	semidirect
391. #397	C₂³	semidirect
392. #397	C₂³	semidirect
393. #397	C₂³	semidirect
394. #397	C₂³	semidirect
395. #397	C₂³	semidirect
396. #397	C₂³	semidirect
402. #396	C₂³	semidirect
403. #396	C₂³	semidirect
404. #396	C₂³	semidirect
405. #396	C₂³	semidirect
406. #396	C₂³	semidirect
407. #396	C₂³	semidirect
408. #396	C₂³	semidirect
409. #396	C₂³	semidirect
410. #396	C₂³	semidirect
411. #396	C₂³	semidirect
412. #396	C₂³	semidirect
413. #396	C₂³	semidirect
414. #396	C₂³	semidirect
415. #395	C₂³	semidirect
416. #395	C₂³	semidirect
434. #394	C₂³	semidirect
435. #394	C₂³	semidirect
436. #394	C₂³	semidirect
437. #394	C₂³	semidirect
438. #394	C₂³	semidirect
439. #394	C₂³	semidirect
440. #394	C₂³	semidirect
441. #394	C₂³	semidirect
442. #394	C₂³	semidirect
446. #393	C₂³	semidirect
455. #392	C₂³	semidirect
456. #391	C₂³	semidirect
457. #391	C₂³	semidirect
458. #391	C₂³	semidirect
459. #391	C₂³	semidirect
467. #390	C₂³	semidirect
468. #390	C₂³	semidirect
469. #390	C₂³	semidirect
470. #389	C₂³	semidirect
471. #389	C₂³	semidirect
472. #389	C₂³	semidirect
473. #389	C₂³	semidirect
474. #389	C₂³	semidirect
475. #389	C₂³	semidirect
476. #389	C₂³	semidirect
477. #389	C₂³	semidirect
478. #389	C₂³	semidirect
479. #389	C₂³	semidirect
492. #388	C₂³	semidirect
493. #388	C₂³	semidirect
494. #388	C₂³	semidirect
495. #388	C₂³	semidirect
496. #388	C₂³	semidirect
497. #388	C₂³	semidirect
498. #388	C₂³	semidirect
499. #388	C₂³	semidirect
500. #388	C₂³	semidirect
501. #387	C₂³	semidirect
502. #387	C₂³	semidirect
503. #387	C₂³	semidirect
504. #387	C₂³	semidirect
505. #387	C₂³	semidirect
506. #387	C₂³	semidirect
507. #387	C₂³	semidirect
508. #387	C₂³	semidirect
509. #387	C₂³	semidirect
510. #387	C₂³	semidirect
511. #387	C₂³	semidirect
512. #387	C₂³	semidirect
513. #387	C₂³	semidirect
548. #386	C₂³	semidirect
549. #386	C₂³	semidirect
550. #386	C₂³	semidirect
568. #385	C₂³	semidirect
569. #385	C₂³	semidirect
570. #385	C₂³	semidirect
571. #385	C₂³	semidirect
572. #385	C₂³	semidirect
573. #385	C₂³	semidirect
574. #382	C₂³	semidirect
575. #382	C₂³	semidirect
580. #381	C₂³	semidirect
595. #380	C₂³	semidirect
596. #380	C₂³	semidirect
597. #380	C₂³	semidirect
598. #380	C₂³	semidirect
599. #380	C₂³	semidirect
600. #380	C₂³	semidirect
601. #380	C₂³	semidirect
611. C₄×C₄⋊C₄	C₂³	semidirect
612. C₄×C₄⋊C₄	C₂³	semidirect
620. C₄×C₂²⋊C₄	C₂³	semidirect
625. 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
#52548	2
#52547	2
#52425	2
#44022	2
#43975	2
#43512	2
#43491	2
#41974	2
#41952	2
#41390	2
#41368	2
#40846	2
#40817	2
#40662	2
#40612	2
#36581	2
#36146	2
#36098	2
#35223	2
#34989	2
#34988	2
#34981	2
C₂²×#399	2