Subgroups — #7744959

Order 512.

5962 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#44786	C₂	1	4	yes	maximal, complemented
2	#44759	C₂	1	4	yes	maximal, complemented
3	#43965	C₂	1	2	yes	maximal, complemented
4	#43962	C₂	1	2	yes	maximal, complemented
5	#43179	C₂	1	4	yes	maximal, complemented
6	#43176	C₂	1	4	yes	maximal, complemented
7	#43081	C₂	1	2	yes	maximal, complemented
8	#43078	C₂	1	2	yes	maximal, complemented
9	#42318	C₂	1	4	yes	maximal, complemented
10	#40645	C₂	1	4	yes	maximal, complemented
11	#40543	C₂	1	2	yes	maximal, complemented
12	#40541	C₂	1	2	yes	maximal, complemented
13	#36206	C₂	1	4	yes	maximal, complemented
14	#36158	C₂	1	4	yes	maximal, complemented
15	#36079	C₂	1	4	yes	maximal, complemented
16	#35942	C₂	1	4	yes	maximal, complemented
17	#35706	C₂	1	2	yes	maximal, complemented
18	#35705	C₂	1	2	yes	maximal, complemented
19	#35242	C₂	1	1	yes	maximal, characteristic, complemented
20	#35052	C₂	1	1	yes	maximal, characteristic, complemented
21	#35050	C₂	1	1	yes	maximal, characteristic
22	C₂²×#393	C₂	1	1	yes	maximal, characteristic, complemented
23	#34218	C₂	1	1	yes	maximal, characteristic, complemented
24	#34176	C₂	1	1	yes	maximal, characteristic, complemented
25	#34173	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂⁴×Q₈	C₂²	1	1	yes	characteristic
27	C₂×#551	C₂²	1	4	yes	—
28	C₂×#536	C₂²	1	2	yes	complemented
29	C₂×#525	C₂²	1	1	yes	characteristic
30	C₂×#519	C₂²	1	2	yes	complemented
31	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
32	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
33	#2849	C₂²	1	4	yes	—
34	#2849	C₂²	1	2	yes	—
35	#2848	C₂²	1	4	yes	—
36	#2846	C₂²	1	2	yes	—
37	#2832	C₂²	1	4	yes	complemented
38	#2831	C₂²	1	4	yes	complemented
39	#2808	C₂²	1	4	yes	complemented
40	#2804	C₂²	1	4	yes	complemented
41	#2798	C₂²	1	4	yes	complemented
42	#2798	C₂²	1	4	yes	complemented
43	#2788	C₂²	1	4	yes	complemented
44	#2775	C₂²	1	4	yes	complemented
45	#2764	C₂²	1	4	yes	complemented
46	#2763	C₂²	1	4	yes	complemented
47	#2759	C₂²	1	4	yes	complemented
48	#2759	C₂²	1	4	yes	complemented
49	#2759	C₂²	1	4	yes	complemented
50	#2754	C₂²	1	4	yes	complemented
51	#2754	C₂²	1	4	yes	complemented
52	#2751	C₂²	1	4	yes	complemented
53	#2751	C₂²	1	4	yes	complemented
54	#2745	C₂²	1	4	yes	complemented
55	#2716	C₂²	1	4	yes	complemented
56	#2716	C₂²	1	4	yes	complemented
57	#2712	C₂²	1	4	yes	complemented
58	#2710	C₂²	1	4	yes	complemented
59	#2702	C₂²	1	4	yes	complemented
60	#2700	C₂²	1	4	yes	complemented
61	#2692	C₂²	1	4	yes	complemented
62	#2687	C₂²	1	4	yes	complemented
63	#2665	C₂²	1	4	yes	complemented
64	#2659	C₂²	1	2	yes	complemented
65	#2653	C₂²	1	4	yes	complemented
66	#2653	C₂²	1	4	yes	complemented
67	#2650	C₂²	1	4	yes	complemented
68	#2646	C₂²	1	2	yes	complemented
69	#2637	C₂²	1	4	yes	complemented
70	#2632	C₂²	1	4	yes	complemented
71	#2626	C₂²	1	1	yes	characteristic
72	#2626	C₂²	1	1	yes	characteristic
73	#2617	C₂²	1	1	yes	characteristic
74	#2617	C₂²	1	1	yes	characteristic
75	#2614	C₂²	1	2	yes	complemented
76	#2614	C₂²	1	2	yes	complemented
77	#2607	C₂²	1	4	yes	complemented
78	#2604	C₂²	1	4	yes	complemented
79	#2599	C₂²	1	4	yes	complemented
80	#2592	C₂²	1	4	yes	complemented
81	#2589	C₂²	1	4	yes	complemented
82	#2589	C₂²	1	4	yes	complemented
83	#2580	C₂²	1	4	yes	complemented
84	#2574	C₂²	1	4	yes	complemented
85	#2572	C₂²	1	4	yes	complemented
86	#2569	C₂²	1	4	yes	complemented
87	#2569	C₂²	1	2	yes	complemented
88	#2569	C₂²	1	2	yes	complemented
89	#2564	C₂²	1	4	yes	complemented
90	#2561	C₂²	1	4	yes	—
91	#2561	C₂²	1	2	yes	—
92	#2560	C₂²	1	4	yes	complemented
93	#2557	C₂²	1	4	yes	complemented
94	#2549	C₂²	1	2	yes	complemented
95	#2549	C₂²	1	2	yes	complemented
96	#2539	C₂²	1	2	yes	—
97	#2534	C₂²	1	4	yes	—
98	#2534	C₂²	1	4	yes	—
99	#2532	C₂²	1	4	yes	complemented
100	#2532	C₂²	1	4	yes	complemented
101	#2527	C₂²	1	4	yes	complemented
102	#2527	C₂²	1	4	yes	complemented
103	#2523	C₂²	1	4	yes	complemented
104	#2510	C₂²	1	4	yes	complemented
105	#2510	C₂²	1	4	yes	complemented
106	#2505	C₂²	1	4	yes	complemented
107	#2505	C₂²	1	4	yes	complemented
108	#2498	C₂²	1	4	yes	complemented
109	#2498	C₂²	1	4	yes	complemented
110	#2493	C₂²	1	4	yes	complemented
111	#2493	C₂²	1	4	yes	complemented
112	#2493	C₂²	1	4	yes	complemented
113	#2493	C₂²	1	4	yes	complemented
114	#2492	C₂²	1	4	yes	complemented
115	#2488	C₂²	1	4	yes	complemented
116	#2488	C₂²	1	4	yes	complemented
117	#2488	C₂²	1	4	yes	complemented
118	#2483	C₂²	1	4	yes	—
119	#2482	C₂²	1	4	yes	—
120	#2482	C₂²	1	2	yes	—
121	#2480	C₂²	1	4	yes	—
122	#2480	C₂²	1	4	yes	—
123	#2480	C₂²	1	4	yes	—
124	#2480	C₂²	1	4	yes	—
125	#2477	C₂²	1	4	yes	complemented
126	#2472	C₂²	1	4	yes	—
127	#2472	C₂²	1	4	yes	—
128	#2469	C₂²	1	4	yes	complemented
129	#2469	C₂²	1	4	yes	complemented
130	#2465	C₂²	1	4	yes	complemented
131	#2465	C₂²	1	4	yes	complemented
132	#2459	C₂²	1	4	yes	complemented
133	#2458	C₂²	1	4	yes	complemented
134	#2458	C₂²	1	4	yes	complemented
135	#2458	C₂²	1	4	yes	complemented
136	#2458	C₂²	1	4	yes	complemented
137	#2450	C₂²	1	4	yes	complemented
138	#2439	C₂²	1	4	yes	complemented
139	#2438	C₂²	1	4	yes	complemented
140	#2438	C₂²	1	4	yes	complemented
141	#2438	C₂²	1	4	yes	complemented
142	#2438	C₂²	1	4	yes	complemented
143	#2437	C₂²	1	4	yes	—
144	#2437	C₂²	1	4	yes	—
145	#2436	C₂²	1	2	yes	complemented
146	#2436	C₂²	1	2	yes	complemented
147	#2434	C₂²	1	2	yes	complemented
148	#2434	C₂²	1	2	yes	complemented
149	#2419	C₂²	1	4	yes	complemented
150	#2419	C₂²	1	4	yes	complemented
151	#2418	C₂²	1	4	yes	—
152	#2418	C₂²	1	4	yes	—
153	#2412	C₂²	1	4	yes	—
154	#2412	C₂²	1	4	yes	—
155	#2412	C₂²	1	4	yes	—
156	#2411	C₂²	1	4	yes	—
157	#2411	C₂²	1	4	yes	—
158	#2409	C₂²	1	2	yes	complemented
159	#2409	C₂²	1	2	yes	complemented
160	#2409	C₂²	1	4	yes	complemented
161	#2404	C₂²	1	2	yes	—
162	#2398	C₂²	1	4	yes	complemented
163	#2396	C₂²	1	4	yes	complemented
164	C₂×#393	C₂²	1	2	yes	—
165	C₂×#393	C₂²	1	2	yes	—
166	C₂×#393	C₂²	1	2	yes	—
167	C₂×#393	C₂²	1	2	yes	—
168	C₂×#393	C₂²	1	2	yes	—
169	C₂×#393	C₂²	1	4	yes	—
170	C₂×#393	C₂²	1	2	yes	—
171	C₂×#393	C₂²	1	2	yes	—
172	C₂×#393	C₂²	1	4	yes	—
173	C₂×#393	C₂²	1	2	yes	—
174	#2368	C₂²	1	2	yes	complemented
175	#2368	C₂²	1	4	yes	complemented
176	#2364	C₂²	1	2	yes	complemented
177	#2359	C₂²	1	4	yes	complemented
178	#2359	C₂²	1	4	yes	complemented
179	#2359	C₂²	1	4	yes	complemented
180	#2358	C₂²	1	4	yes	—
181	#2358	C₂²	1	4	yes	—
182	#2353	C₂²	1	2	yes	complemented
183	#2353	C₂²	1	4	yes	complemented
184	#2349	C₂²	1	2	yes	complemented
185	#2343	C₂²	1	4	yes	complemented
186	#2343	C₂²	1	4	yes	complemented
187	#2343	C₂²	1	2	yes	complemented
188	#2342	C₂²	1	4	yes	—
189	#2342	C₂²	1	4	yes	—
190	#2342	C₂²	1	4	yes	—
191	#2342	C₂²	1	4	yes	—
192	#2342	C₂²	1	4	yes	—
193	#2342	C₂²	1	4	yes	—
194	#2342	C₂²	1	4	yes	—
195	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
196	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
197	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
198	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
199	Q₈×C₂²⋊C₄	C₂²	1	4	yes	complemented
200	Q₈×C₂²⋊C₄	C₂²	1	4	yes	complemented
201	#2339	C₂²	1	2	yes	complemented
202	#2329	C₂²	1	2	yes	complemented
203	#2329	C₂²	1	4	yes	complemented
204	#2325	C₂²	1	2	yes	complemented
205	#2321	C₂²	1	2	yes	—
206	#2321	C₂²	1	2	yes	—
207	#2318	C₂²	1	2	yes	complemented
208	#2315	C₂²	1	1	yes	characteristic
209	#2315	C₂²	1	1	yes	characteristic
210	#2312	C₂²	1	2	yes	—
211	#2312	C₂²	1	1	yes	characteristic
212	#2312	C₂²	1	1	yes	characteristic
213	#2310	C₂²	1	2	yes	complemented
214	#2310	C₂²	1	4	yes	complemented
215	#2310	C₂²	1	2	yes	complemented
216	C₄×#120	C₂²	1	4	yes	—
217	#2280	C₂²	1	4	yes	—
218	#2280	C₂²	1	2	yes	—
219	#2280	C₂²	1	1	yes	characteristic
220	#2280	C₂²	1	1	yes	characteristic
221	#2280	C₂²	1	1	yes	characteristic
222	C₂×#379	C₂²	1	2	yes	—
223	#2275	C₂²	1	2	yes	complemented
224	#2273	C₂²	1	2	yes	—
225	C₂²×#95	C₂²	1	2	yes	—
226	C₂²×#95	C₂²	1	1	yes	characteristic
227	C₂⁶	C₂³	1	1	yes	characteristic
228	C₂²×#41	C₂³	1	1	yes	characteristic
229	C₂³×Q₈	—	2	8	no	—
230	C₂³×Q₈	—	4	8	no	—
231	C₂³×Q₈	C₂³	1	1	yes	characteristic
232	C₂³×Q₈	C₂³	1	2	yes	—
233	C₂³×Q₈	C₂³	1	1	yes	characteristic
234	C₂³×Q₈	C₂³	1	2	yes	—
235	C₂³×Q₈	C₂³	1	2	yes	—
236	C₂³×Q₈	C₂³	1	2	yes	—
237	C₂³×Q₈	C₂³	1	2	yes	—
238	C₂⁴×C₄	C₂³	1	2	yes	—
239	C₂⁴×C₄	C₂³	1	1	yes	characteristic
240	C₂⁴×C₄	C₂³	1	2	yes	—
241	C₂⁴×C₄	C₂³	1	1	yes	characteristic
242	#551	—	4	16	no	—
243	#536	—	4	8	no	—
244	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
245	C₂×#126	C₂³	1	4	yes	—
246	C₂×#126	C₂³	1	4	yes	—
247	C₂×#124	C₂³	1	4	yes	—
248	C₂×#124	C₂³	1	4	yes	complemented
249	#525	—	2	8	no	—
250	C₂×#123	C₂³	1	4	yes	—
251	C₂×#123	C₂³	1	2	yes	—
252	C₂×#123	C₂³	1	4	yes	—
253	C₂×#123	C₂³	1	4	yes	—
254	C₂×#123	C₂³	1	4	yes	—
255	C₂×#123	C₂³	1	4	yes	—
256	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
259	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
260	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
261	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
262	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
263	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
264	C₂×#121	C₂³	1	1	yes	characteristic
265	C₂×#121	C₂³	1	1	yes	characteristic
266	C₂×#120	C₂³	1	2	yes	—
267	C₂×#120	C₂³	1	2	yes	—
268	C₂×#120	C₂³	1	2	yes	—
269	C₂×#120	C₂³	1	4	yes	—
270	C₂×#120	C₂³	1	4	yes	—
271	#519	—	4	8	no	—
272	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
273	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
274	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
275	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
276	C₂×C₄×D₄	C₂³	1	2	yes	—
277	C₂×C₄×D₄	C₂³	1	2	yes	—
278	C₂×C₄×D₄	C₂³	1	4	yes	—
279	C₂×C₄×D₄	C₂³	1	4	yes	—
280	C₂×C₄×D₄	C₂³	1	4	yes	—
281	C₂×C₄×D₄	C₂³	1	4	yes	—
282	C₂×#117	C₂³	1	1	yes	characteristic
283	C₂×#117	C₂³	1	4	yes	—
284	C₂×#117	C₂³	1	2	yes	—
285	C₂×#117	C₂³	1	2	yes	—
286	C₂×#117	C₂³	1	4	yes	—
287	C₂×#117	C₂³	1	2	yes	—
288	C₂×#117	C₂³	1	4	yes	—
289	C₂×#117	C₂³	1	4	yes	—
290	C₂²×C₂²⋊C₄	—	2	8	no	—
291	C₂²×C₂²⋊C₄	—	4	8	no	—
292	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
293	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
297	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
298	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
299	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
300	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
301	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
303	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
304	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
305	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
306	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
307	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
308	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
309	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
310	#401	C₂³	1	4	yes	complemented
311	#401	C₂³	1	4	yes	complemented
312	#400	C₂³	1	4	yes	complemented
313	#400	C₂³	1	4	yes	complemented
314	#400	C₂³	1	4	yes	complemented
315	#400	C₂³	1	4	yes	complemented
316	#400	C₂³	1	4	yes	complemented
317	#400	C₂³	1	4	yes	complemented
318	#400	C₂³	1	4	yes	complemented
319	#400	C₂³	1	4	yes	complemented
320	#400	C₂³	1	4	yes	complemented
321	#400	C₂³	1	4	yes	complemented
322	#400	C₂³	1	4	yes	complemented
323	#400	C₂³	1	4	yes	complemented
324	#400	C₂³	1	4	yes	complemented
325	#399	C₂³	1	4	yes	—
326	#399	C₂³	1	2	yes	—
327	#399	C₂³	1	4	yes	—
328	#399	C₂³	1	2	yes	—
329	#399	C₂³	1	4	yes	complemented
330	#398	C₂³	1	4	yes	complemented
331	#398	C₂³	1	4	yes	complemented
332	#398	C₂³	1	4	yes	complemented
333	#398	C₂³	1	4	yes	complemented
334	#398	C₂³	1	4	yes	complemented
335	#398	C₂³	1	4	yes	complemented
336	#398	C₂³	1	4	yes	complemented
337	#398	C₂³	1	4	yes	complemented
338	#397	C₂³	1	4	yes	—
339	#397	C₂³	1	2	yes	—
340	#397	C₂³	1	2	yes	—
341	#397	C₂³	1	4	yes	—
342	#397	C₂³	1	4	yes	—
343	#397	C₂³	1	4	yes	—
344	#397	C₂³	1	4	yes	—
345	#397	C₂³	1	4	yes	—
346	#397	C₂³	1	4	yes	—
347	#397	C₂³	1	4	yes	—
348	#397	C₂³	1	4	yes	—
349	#397	C₂³	1	4	yes	—
350	#397	C₂³	1	4	yes	complemented
351	#397	C₂³	1	4	yes	complemented
352	#397	C₂³	1	4	yes	complemented
353	#397	C₂³	1	4	yes	complemented
354	#396	C₂³	1	4	yes	—
355	#396	C₂³	1	4	yes	—
356	#396	C₂³	1	4	yes	—
357	#396	C₂³	1	4	yes	—
358	#396	C₂³	1	4	yes	—
359	#396	C₂³	1	4	yes	—
360	#395	C₂³	1	4	yes	complemented
361	#395	C₂³	1	4	yes	complemented
362	#395	C₂³	1	4	yes	complemented
363	#395	C₂³	1	2	yes	complemented
364	#395	C₂³	1	4	yes	complemented
365	#395	C₂³	1	2	yes	complemented
366	#395	C₂³	1	2	yes	complemented
367	#395	C₂³	1	2	yes	complemented
368	#395	C₂³	1	4	yes	complemented
369	#394	C₂³	1	4	yes	—
370	#394	C₂³	1	4	yes	—
371	#394	C₂³	1	4	yes	—
372	#394	C₂³	1	4	yes	—
373	#394	C₂³	1	4	yes	—
374	#394	C₂³	1	4	yes	—
375	#394	C₂³	1	4	yes	—
376	#394	C₂³	1	4	yes	—
377	#393	C₂³	1	4	yes	—
378	#393	C₂³	1	4	yes	—
379	#393	C₂³	1	4	yes	—
380	#393	C₂³	1	2	yes	—
381	#393	C₂³	1	2	yes	—
382	#393	C₂³	1	2	yes	—
383	#393	C₂³	1	2	yes	—
384	#393	C₂³	1	4	yes	—
385	#393	C₂³	1	4	yes	—
386	#393	C₂³	1	4	yes	—
387	#393	C₂³	1	4	yes	—
388	#393	C₂³	1	4	yes	—
389	#393	C₂³	1	2	yes	—
390	#393	C₂³	1	2	yes	—
391	#393	C₂³	1	2	yes	—
392	#393	C₂³	1	2	yes	—
393	#393	C₂³	1	4	yes	—
394	#393	C₂³	1	4	yes	—
395	#393	C₂³	1	4	yes	—
396	#393	C₂³	1	4	yes	—
397	#393	C₂³	1	2	yes	—
398	#393	C₂³	1	2	yes	—
399	#393	C₂³	1	4	yes	—
400	#393	C₂³	1	4	yes	—
401	#393	C₂³	1	4	yes	complemented
402	#393	C₂³	1	4	yes	complemented
403	#393	C₂³	1	2	yes	complemented
404	#393	C₂³	1	4	yes	complemented
405	#393	C₂³	1	2	yes	complemented
406	#393	C₂³	1	2	yes	complemented
407	#393	C₂³	1	2	yes	complemented
408	#392	C₂³	1	2	yes	—
409	#392	C₂³	1	2	yes	—
410	#391	C₂³	1	4	yes	complemented
411	#391	C₂³	1	4	yes	complemented
412	#391	C₂³	1	4	yes	complemented
413	#391	C₂³	1	4	yes	complemented
414	#391	C₂³	1	4	yes	complemented
415	#391	C₂³	1	4	yes	complemented
416	#391	C₂³	1	4	yes	complemented
417	#391	C₂³	1	4	yes	complemented
418	#391	C₂³	1	4	yes	complemented
419	#391	C₂³	1	4	yes	complemented
420	#391	C₂³	1	4	yes	complemented
421	#391	C₂³	1	4	yes	complemented
422	#391	C₂³	1	4	yes	complemented
423	#391	C₂³	1	4	yes	complemented
424	#391	C₂³	1	4	yes	complemented
425	#391	C₂³	1	4	yes	complemented
426	#391	C₂³	1	4	yes	complemented
427	#391	C₂³	1	4	yes	complemented
428	#391	C₂³	1	4	yes	complemented
429	#391	C₂³	1	4	yes	complemented
430	#391	C₂³	1	4	yes	complemented
431	#390	C₂³	1	4	yes	—
432	#390	C₂³	1	4	yes	—
433	#390	C₂³	1	4	yes	—
434	#390	C₂³	1	4	yes	—
435	#389	C₂³	1	4	yes	complemented
436	#389	C₂³	1	4	yes	complemented
437	#389	C₂³	1	4	yes	complemented
438	#389	C₂³	1	4	yes	complemented
439	#389	C₂³	1	4	yes	complemented
440	#388	C₂³	1	4	yes	—
441	#388	C₂³	1	4	yes	—
442	#388	C₂³	1	4	yes	—
443	#388	C₂³	1	4	yes	—
444	#388	C₂³	1	4	yes	—
445	#388	C₂³	1	4	yes	—
446	#388	C₂³	1	4	yes	—
447	#388	C₂³	1	4	yes	—
448	#388	C₂³	1	4	yes	—
449	#388	C₂³	1	4	yes	—
450	#388	C₂³	1	4	yes	—
451	#388	C₂³	1	4	yes	—
452	#388	C₂³	1	4	yes	—
453	#388	C₂³	1	4	yes	—
454	#388	C₂³	1	4	yes	—
455	#388	C₂³	1	4	yes	—
456	#388	C₂³	1	4	yes	—
457	#388	C₂³	1	4	yes	—
458	#388	C₂³	1	4	yes	—
459	#388	C₂³	1	4	yes	—
460	#388	C₂³	1	4	yes	—
461	#388	C₂³	1	4	yes	—
462	#388	C₂³	1	4	yes	—
463	#388	C₂³	1	4	yes	—
464	#388	C₂³	1	4	yes	—
465	#388	C₂³	1	4	yes	—
466	#388	C₂³	1	4	yes	—
467	#388	C₂³	1	4	yes	—
468	#388	C₂³	1	4	yes	complemented
469	#388	C₂³	1	4	yes	complemented
470	#388	C₂³	1	4	yes	complemented
471	#388	C₂³	1	4	yes	complemented
472	#388	C₂³	1	4	yes	complemented
473	#388	C₂³	1	4	yes	complemented
474	#388	C₂³	1	4	yes	complemented
475	#388	C₂³	1	4	yes	complemented
476	#387	C₂³	1	4	yes	complemented
477	#387	C₂³	1	4	yes	complemented
478	#387	C₂³	1	4	yes	complemented
479	#387	C₂³	1	4	yes	complemented
480	#387	C₂³	1	4	yes	complemented
481	#387	C₂³	1	4	yes	complemented
482	#387	C₂³	1	4	yes	complemented
483	#387	C₂³	1	4	yes	complemented
484	#387	C₂³	1	4	yes	complemented
485	#387	C₂³	1	4	yes	complemented
486	#387	C₂³	1	4	yes	complemented
487	#387	C₂³	1	4	yes	complemented
488	#387	C₂³	1	4	yes	complemented
489	#387	C₂³	1	4	yes	complemented
490	#387	C₂³	1	4	yes	complemented
491	#387	C₂³	1	4	yes	complemented
492	#387	C₂³	1	4	yes	complemented
493	#387	C₂³	1	4	yes	complemented
494	#387	C₂³	1	4	yes	complemented
495	#387	C₂³	1	4	yes	complemented
496	#387	C₂³	1	4	yes	complemented
497	#387	C₂³	1	4	yes	complemented
498	#387	C₂³	1	4	yes	complemented
499	#387	C₂³	1	4	yes	complemented
500	#387	C₂³	1	4	yes	complemented
501	#387	C₂³	1	4	yes	complemented
502	#386	C₂³	1	4	yes	—
503	#386	C₂³	1	2	yes	—
504	#386	C₂³	1	4	yes	—
505	#386	C₂³	1	4	yes	—
506	#386	C₂³	1	4	yes	—
507	#386	C₂³	1	4	yes	—
508	#386	C₂³	1	2	yes	—
509	#386	C₂³	1	4	yes	—
510	#386	C₂³	1	4	yes	—
511	#386	C₂³	1	4	yes	—
512	#386	C₂³	1	4	yes	—
513	#386	C₂³	1	4	yes	—
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	complemented
519	#385	C₂³	1	2	yes	—
520	#385	C₂³	1	4	yes	—
521	#385	C₂³	1	4	yes	—
522	#385	C₂³	1	4	yes	—
523	#385	C₂³	1	4	yes	—
524	#385	C₂³	1	4	yes	—
525	#385	C₂³	1	4	yes	—
526	#385	C₂³	1	4	yes	—
527	#385	C₂³	1	4	yes	—
528	#385	C₂³	1	4	yes	—
529	#385	C₂³	1	2	yes	—
530	#385	C₂³	1	4	yes	—
531	#385	C₂³	1	4	yes	—
532	#385	C₂³	1	4	yes	—
533	#385	C₂³	1	4	yes	—
534	#385	C₂³	1	4	yes	—
535	#385	C₂³	1	4	yes	—
536	#385	C₂³	1	4	yes	—
537	#385	C₂³	1	4	yes	—
538	#385	C₂³	1	4	yes	—
539	#385	C₂³	1	4	yes	—
540	#385	C₂³	1	4	yes	—
541	#385	C₂³	1	4	yes	—
542	#385	C₂³	1	4	yes	—
543	#385	C₂³	1	4	yes	complemented
544	#385	C₂³	1	4	yes	complemented
545	#385	C₂³	1	4	yes	complemented
546	#383	C₂³	1	4	yes	complemented
547	#383	C₂³	1	4	yes	complemented
548	#383	C₂³	1	2	yes	complemented
549	#383	C₂³	1	4	yes	complemented
550	#382	C₂³	1	2	yes	complemented
551	#382	C₂³	1	4	yes	complemented
552	#382	C₂³	1	4	yes	complemented
553	#381	C₂³	1	4	yes	—
554	#381	C₂³	1	4	yes	—
555	#381	C₂³	1	4	yes	—
556	#381	C₂³	1	2	yes	—
557	#381	C₂³	1	2	yes	—
558	#381	C₂³	1	4	yes	—
559	#381	C₂³	1	4	yes	—
560	#381	C₂³	1	4	yes	—
561	#381	C₂³	1	2	yes	—
562	#381	C₂³	1	4	yes	—
563	#381	C₂³	1	4	yes	—
564	#381	C₂³	1	4	yes	complemented
565	#381	C₂³	1	2	yes	complemented
566	#380	C₂³	1	2	yes	—
567	#380	C₂³	1	4	yes	—
568	#380	C₂³	1	1	yes	characteristic
569	#380	C₂³	1	2	yes	—
570	#380	C₂³	1	1	yes	characteristic
571	#380	C₂³	1	1	yes	characteristic
572	#380	C₂³	1	1	yes	characteristic
573	#380	C₂³	1	4	yes	—
574	#380	C₂³	1	1	yes	characteristic
575	#380	C₂³	1	4	yes	—
576	#380	C₂³	1	4	yes	—
577	#380	C₂³	1	2	yes	—
578	#380	C₂³	1	4	yes	—
579	#380	C₂³	1	4	yes	—
580	#380	C₂³	1	1	yes	characteristic
581	#380	C₂³	1	2	yes	—
582	#380	C₂³	1	4	yes	—
583	#380	C₂³	1	4	yes	—
584	#380	C₂³	1	2	yes	—
585	#380	C₂³	1	4	yes	—
586	#380	C₂³	1	4	yes	—
587	#380	C₂³	1	2	yes	complemented
588	#379	C₂³	1	4	yes	—
589	#379	C₂³	1	4	yes	—
590	#379	C₂³	1	4	yes	—
591	#379	C₂³	1	2	yes	—
592	#379	C₂³	1	2	yes	—
593	#379	C₂³	1	2	yes	—
594	#379	C₂³	1	2	yes	—
595	#379	C₂³	1	2	yes	—
596	#379	C₂³	1	2	yes	—
597	#379	C₂³	1	4	yes	—
598	#379	C₂³	1	2	yes	—
599	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
600	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
601	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
602	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
603	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
604	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
605	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
606	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
607	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
609	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
610	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
611	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
615	C₄×C₂²⋊C₄	C₂³	1	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	—
621	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
622	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
623	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
624	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
625	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
626	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
627	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
628	#376	C₂³	1	4	yes	complemented
629	#376	C₂³	1	2	yes	complemented
630	C₂×#95	C₂³	1	4	yes	—
631	C₂×#95	C₂³	1	2	yes	—
632	C₂×#95	C₂³	1	2	yes	—
633	C₂×#95	C₂³	1	1	yes	characteristic
634	C₂×#95	C₂³	1	2	yes	—
635	C₂×#95	C₂³	1	2	yes	—
636	C₂×#95	C₂³	1	4	yes	—
637	C₂×#95	C₂³	1	4	yes	—
638	C₂×#95	C₂³	1	4	yes	—
639	C₂×#95	C₂³	1	2	yes	—
640	C₂×#95	C₂³	1	1	yes	characteristic
641	C₂×#95	C₂³	1	4	yes	—
642	C₂×#95	C₂³	1	4	yes	—
643	C₂×#95	C₂³	1	2	yes	complemented
644	C₂⁵	—	2	4	no	—
645	C₂⁵	—	2	4	no	—
646	C₂⁵	—	4	4	no	—
647	C₂⁵	—	4	2	no	—
648	C₂⁵	—	4	4	no	—
649	C₂⁵	C₂⁴	1	1	yes	characteristic
650	C₂⁵	C₂⁴	1	2	yes	—
651	C₂⁵	C₂⁴	1	2	yes	—
652	C₂⁵	C₂⁴	1	1	yes	characteristic
653	C₂⁵	C₂⁴	1	1	yes	characteristic
654	C₂×#41	—	2	4	no	—
655	C₂×#41	—	4	4	no	—
656	C₂²×Q₈	—	2	4	no	—
657	C₂²×Q₈	—	2	8	no	—
658	C₂²×Q₈	—	2	4	no	—
659	C₂²×Q₈	—	2	8	no	—
660	C₂²×Q₈	—	2	8	no	—
661	C₂²×Q₈	—	2	8	no	—
662	C₂²×Q₈	—	2	8	no	—
663	C₂²×Q₈	—	2	8	no	—
664	C₂²×Q₈	—	2	8	no	—
665	C₂²×Q₈	—	4	4	no	—
666	C₂²×Q₈	—	4	4	no	—
667	C₂²×Q₈	—	4	8	no	—
668	C₂²×Q₈	—	4	8	no	—
669	C₂²×Q₈	—	4	8	no	—
670	C₂²×Q₈	—	4	8	no	—
671	C₂²×Q₈	—	4	64	no	—
672	C₂²×Q₈	C₂⁴	1	2	yes	—
673	C₂²×Q₈	C₂⁴	1	2	yes	—
674	C₂²×Q₈	C₂⁴	1	4	yes	—
675	C₂²×Q₈	C₂⁴	1	4	yes	—
676	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
677	C₂²×Q₈	C₂⁴	1	2	yes	—
678	C₂²×Q₈	C₂⁴	1	2	yes	—
679	C₂²×Q₈	C₂⁴	1	4	yes	—
680	C₂²×D₄	C₂⁴	1	2	yes	—
681	C₂²×D₄	C₂⁴	1	2	yes	—
682	C₂²×D₄	C₂⁴	1	2	yes	—
683	C₂²×D₄	C₂⁴	1	4	yes	—
684	C₂²×D₄	C₂⁴	1	1	yes	characteristic
685	C₂²×D₄	C₂⁴	1	4	yes	—
686	C₂³×C₄	—	2	8	no	—
687	C₂³×C₄	—	2	4	no	—
688	C₂³×C₄	—	2	8	no	—
689	C₂³×C₄	—	4	4	no	—
690	C₂³×C₄	—	4	4	no	—
691	C₂³×C₄	—	4	4	no	—
692	C₂³×C₄	—	4	4	no	—
693	C₂³×C₄	—	4	4	no	—
694	C₂³×C₄	—	4	4	no	—
695	C₂³×C₄	#41	1	8	yes	—
696	C₂³×C₄	C₂⁴	1	2	yes	—
697	C₂³×C₄	C₂⁴	1	2	yes	—
698	C₂³×C₄	C₂⁴	1	4	yes	—
699	C₂³×C₄	C₂⁴	1	4	yes	—
700	C₂³×C₄	C₂⁴	1	1	yes	characteristic
701	C₂³×C₄	C₂⁴	1	1	yes	characteristic
702	C₂³×C₄	C₂⁴	1	2	yes	—
703	C₂³×C₄	C₂⁴	1	4	yes	—
704	C₂³×C₄	C₂⁴	1	2	yes	—
705	C₂³×C₄	C₂⁴	1	4	yes	—
706	C₂³×C₄	C₂⁴	1	4	yes	—
707	C₂³×C₄	C₂⁴	1	2	yes	—
708	C₂³×C₄	C₂⁴	1	1	yes	characteristic
709	C₂³×C₄	C₂⁴	1	2	yes	—
710	C₂³×C₄	C₂⁴	1	1	yes	characteristic
711	C₂³×C₄	C₂⁴	1	2	yes	—
712	C₂³×C₄	C₂⁴	1	4	yes	—
713	C₂³×C₄	C₂⁴	1	4	yes	—
714	C₂³×C₄	C₂⁴	1	1	yes	characteristic
715	C₂³×C₄	C₂⁴	1	1	yes	characteristic
716	C₂³×C₄	C₂⁴	1	1	yes	characteristic
717	C₂³×C₄	C₂⁴	1	1	yes	characteristic
718	C₄⋊Q₈	—	4	8	no	—
719	#126	—	4	8	no	—
720	#126	—	4	8	no	—
721	#124	—	4	8	no	—
722	#124	—	4	8	no	—
723	#123	—	2	8	no	—
724	#123	—	2	16	no	—
725	#123	—	4	8	no	—
726	#123	—	4	8	no	—
727	#123	—	4	8	no	—
728	#123	—	4	8	no	—
729	C₂²⋊Q₈	—	2	4	no	—
730	C₂²⋊Q₈	—	2	4	no	—
731	C₂²⋊Q₈	—	4	8	no	—
732	C₂²⋊Q₈	—	4	8	no	—
733	C₂²⋊Q₈	—	4	8	no	—
734	C₂²⋊Q₈	—	4	8	no	—
735	C₂²⋊Q₈	—	4	8	no	—
736	C₂²⋊Q₈	—	4	8	no	—
737	#121	—	2	4	no	—
738	#121	—	2	4	no	—
739	#120	—	2	8	no	—
740	#120	—	2	8	no	—
741	#120	—	4	4	no	—
742	#120	—	4	8	no	—
743	#120	—	4	8	no	—
744	C₄×Q₈	—	4	8	no	—
745	C₄×Q₈	—	4	8	no	—
746	C₄×Q₈	—	4	8	no	—
747	C₄×Q₈	—	4	8	no	—
748	C₄×D₄	—	2	8	no	—
749	C₄×D₄	—	2	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	#117	—	2	4	no	—
755	#117	—	2	16	no	—
756	#117	—	4	8	no	—
757	#117	—	4	8	no	—
758	#117	—	4	4	no	—
759	#117	—	4	8	no	—
760	#117	—	4	4	no	—
761	#117	—	4	4	no	—
762	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
763	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
764	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
766	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
768	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
769	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
771	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
772	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
773	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
775	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
776	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
777	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
778	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
779	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
780	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
781	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
782	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
783	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
784	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
785	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
786	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
787	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
789	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
790	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
791	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₂²⋊C₄	—	2	8	no	—
797	C₂×C₂²⋊C₄	—	2	8	no	—
798	C₂×C₂²⋊C₄	—	2	8	no	—
799	C₂×C₂²⋊C₄	—	2	8	no	—
800	C₂×C₂²⋊C₄	—	2	8	no	—
801	C₂×C₂²⋊C₄	—	2	4	no	—
802	C₂×C₂²⋊C₄	—	2	4	no	—
803	C₂×C₂²⋊C₄	—	2	4	no	—
804	C₂×C₂²⋊C₄	—	2	4	no	—
805	C₂×C₂²⋊C₄	—	2	16	no	—
806	C₂×C₂²⋊C₄	—	4	8	no	—
807	C₂×C₂²⋊C₄	—	4	8	no	—
808	C₂×C₂²⋊C₄	—	4	8	no	—
809	C₂×C₂²⋊C₄	—	4	8	no	—
810	C₂×C₂²⋊C₄	—	4	8	no	—
811	C₂×C₂²⋊C₄	—	4	4	no	—
812	C₂×C₂²⋊C₄	—	4	8	no	—
813	C₂×C₂²⋊C₄	—	4	8	no	—
814	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
817	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
819	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
820	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
825	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
837	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
838	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
839	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
840	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	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×C₄²	C₂⁴	1	4	yes	—
869	C₂×C₄²	C₂⁴	1	2	yes	—
870	C₂×C₄²	C₂⁴	1	4	yes	—
871	C₂×C₄²	C₂⁴	1	4	yes	—
872	C₂×C₄²	C₂⁴	1	4	yes	—
873	C₂×C₄²	C₂⁴	1	4	yes	—
874	C₂×C₄²	C₂⁴	1	4	yes	—
875	C₂×C₄²	C₂⁴	1	4	yes	—
876	C₂×C₄²	C₂⁴	1	4	yes	—
877	C₂×C₄²	C₂⁴	1	4	yes	—
878	C₂×C₄²	C₂⁴	1	4	yes	—
879	C₂×C₄²	C₂⁴	1	4	yes	—
880	C₂×C₄²	C₂⁴	1	4	yes	—
881	#95	C₂⁴	1	2	yes	—
882	#95	C₂⁴	1	4	yes	—
883	#95	C₂⁴	1	2	yes	—
884	#95	C₂⁴	1	2	yes	—
885	#95	C₂⁴	1	4	yes	—
886	#95	C₂⁴	1	4	yes	—
887	#95	C₂⁴	1	4	yes	—
888	#95	C₂⁴	1	4	yes	—
889	#95	C₂⁴	1	4	yes	—
890	#95	C₂⁴	1	4	yes	—
891	#95	C₂⁴	1	4	yes	—
892	#95	C₂⁴	1	2	yes	—
893	#95	C₂⁴	1	4	yes	—
894	#95	C₂⁴	1	4	yes	—
895	#95	C₂⁴	1	2	yes	—
896	#95	C₂⁴	1	4	yes	—
897	#95	C₂⁴	1	2	yes	—
898	#95	C₂⁴	1	4	yes	—
899	#95	C₂⁴	1	4	yes	—
900	#95	C₂⁴	1	4	yes	—
901	#95	C₂⁴	1	4	yes	—
902	#95	C₂⁴	1	4	yes	—
903	#95	C₂⁴	1	4	yes	—
904	#95	C₂⁴	1	4	yes	—
905	#95	C₂⁴	1	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	2	yes	—
917	#95	C₂⁴	1	2	yes	—
918	#95	C₂⁴	1	4	yes	—
919	#95	C₂⁴	1	2	yes	—
920	#95	C₂⁴	1	2	yes	—
921	#95	C₂⁴	1	4	yes	—
922	#95	C₂⁴	1	4	yes	—
923	#95	C₂⁴	1	4	yes	—
924	#95	C₂⁴	1	4	yes	—
925	#95	C₂⁴	1	4	yes	—
926	#95	C₂⁴	1	4	yes	—
927	#95	C₂⁴	1	4	yes	—
928	#95	C₂⁴	1	4	yes	—
929	#95	C₂⁴	1	4	yes	—
930	#95	C₂⁴	1	4	yes	—
931	#95	C₂⁴	1	4	yes	—
932	#95	C₂⁴	1	4	yes	—
933	#95	C₂⁴	1	4	yes	—
934	#95	C₂⁴	1	4	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	4	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	C₂⁴	—	2	4	no	—
941	C₂⁴	—	2	2	no	—
942	C₂⁴	—	2	2	no	—
943	C₂⁴	—	2	4	no	—
944	C₂⁴	—	2	2	no	—
945	C₂⁴	—	2	2	no	—
946	C₂⁴	—	2	4	no	—
947	C₂⁴	—	2	4	no	—
948	C₂⁴	—	2	2	no	—
949	C₂⁴	—	2	4	no	—
950	C₂⁴	—	2	4	no	—
951	C₂⁴	—	2	8	no	—
952	C₂⁴	—	2	8	no	—
953	C₂⁴	—	2	2	no	—
954	C₂⁴	—	2	2	no	—
955	C₂⁴	—	4	2	no	—
956	C₂⁴	—	4	4	no	—
957	C₂⁴	—	4	2	no	—
958	C₂⁴	—	4	2	no	—
959	C₂⁴	—	4	2	no	—
960	C₂⁴	—	4	2	no	—
961	C₂⁴	—	4	4	no	—
962	C₂⁴	—	4	2	no	—
963	C₂⁴	—	4	16	no	—
964	C₂⁴	—	4	32	no	—
965	C₂⁴	—	8	8	no	—
966	C₂⁴	—	8	8	no	—
967	C₂⁴	—	8	16	no	—
968	C₂⁴	C₂×#41	1	4	yes	—
969	C₂⁴	2₋¹⁺⁴	1	4	yes	—
970	C₂⁴	C₂⁵	1	2	yes	—
971	C₂⁴	C₂⁵	1	2	yes	—
972	C₂⁴	C₂⁵	1	2	yes	—
973	C₂⁴	C₂⁵	1	1	yes	characteristic
974	C₂⁴	C₂⁵	1	1	yes	characteristic
975	C₂⁴	C₂⁵	1	1	yes	characteristic
976	#41	—	8	8	no	—
977	C₂×Q₈	—	2	32	no	—
978	C₂×Q₈	—	2	4	no	—
979	C₂×Q₈	—	2	4	no	—
980	C₂×Q₈	—	2	8	no	—
981	C₂×Q₈	—	2	8	no	—
982	C₂×Q₈	—	2	4	no	—
983	C₂×Q₈	—	2	4	no	—
984	C₂×Q₈	—	2	2	no	—
985	C₂×Q₈	—	2	8	no	—
986	C₂×Q₈	—	2	8	no	—
987	C₂×Q₈	—	2	8	no	—
988	C₂×Q₈	—	2	8	no	—
989	C₂×Q₈	—	4	4	no	—
990	C₂×Q₈	—	4	4	no	—
991	C₂×Q₈	—	4	4	no	—
992	C₂×Q₈	—	4	4	no	—
993	C₂×Q₈	—	4	2	no	—
994	C₂×Q₈	—	4	4	no	—
995	C₂×Q₈	—	4	4	no	—
996	C₂×Q₈	—	4	4	no	—
997	C₂×Q₈	—	4	32	no	—
998	C₂×Q₈	—	4	16	no	—
999	C₂×Q₈	—	4	32	no	—
1000	C₂×Q₈	—	4	32	no	—
1001	C₂×Q₈	—	4	32	no	—
1002	C₂×Q₈	—	4	32	no	—
1003	C₂×D₄	—	2	4	no	—
1004	C₂×D₄	—	2	4	no	—
1005	C₂×D₄	—	2	4	no	—
1006	C₂×D₄	—	2	8	no	—
1007	C₂×D₄	—	2	4	no	—
1008	C₂×D₄	—	2	4	no	—
1009	C₂×D₄	—	2	8	no	—
1010	C₂×D₄	—	2	8	no	—
1011	C₂×D₄	—	2	2	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	4	no	—
1018	C₂²×C₄	—	2	4	no	—
1019	C₂²×C₄	—	2	4	no	—
1020	C₂²×C₄	—	2	4	no	—
1021	C₂²×C₄	—	2	4	no	—
1022	C₂²×C₄	—	2	4	no	—
1023	C₂²×C₄	—	2	8	no	—
1024	C₂²×C₄	—	2	8	no	—
1025	C₂²×C₄	—	2	4	no	—
1026	C₂²×C₄	—	2	4	no	—
1027	C₂²×C₄	—	2	4	no	—
1028	C₂²×C₄	—	2	8	no	—
1029	C₂²×C₄	—	2	4	no	—
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	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	8	no	—
1039	C₂²×C₄	—	2	4	no	—
1040	C₂²×C₄	—	4	16	no	—
1041	C₂²×C₄	—	4	2	no	—
1042	C₂²×C₄	—	4	2	no	—
1043	C₂²×C₄	—	4	2	no	—
1044	C₂²×C₄	—	4	2	no	—
1045	C₂²×C₄	—	4	4	no	—
1046	C₂²×C₄	—	4	4	no	—
1047	C₂²×C₄	—	4	2	no	—
1048	C₂²×C₄	—	4	4	no	—
1049	C₂²×C₄	—	4	2	no	—
1050	C₂²×C₄	—	4	4	no	—
1051	C₂²×C₄	—	4	4	no	—
1052	C₂²×C₄	—	4	4	no	—
1053	C₂²×C₄	—	4	2	no	—
1054	C₂²×C₄	—	4	4	no	—
1055	C₂²×C₄	—	4	4	no	—
1056	C₂²×C₄	—	4	4	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	4	no	—
1062	C₂²×C₄	—	4	4	no	—
1063	C₂²×C₄	—	4	4	no	—
1064	C₂²×C₄	—	4	4	no	—
1065	C₂²×C₄	—	4	4	no	—
1066	C₂²×C₄	—	4	4	no	—
1067	C₂²×C₄	—	4	32	no	—
1068	C₂²×C₄	—	8	8	no	—
1069	C₂²×C₄	—	8	16	no	—
1070	C₂²×C₄	C₂×#41	1	4	yes	—
1071	C₂²×C₄	C₂×#41	1	4	yes	—
1072	C₂²×C₄	C₂×#41	1	4	yes	—
1073	C₂²×C₄	C₂×#41	1	4	yes	—
1074	C₂²×C₄	C₂×#41	1	4	yes	—
1075	C₂²×C₄	C₂×#41	1	4	yes	—
1076	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
1077	C₂²×C₄	C₂⁵	1	2	yes	—
1078	C₂²×C₄	C₂⁵	1	2	yes	—
1079	C₂²×C₄	C₂⁵	1	2	yes	—
1080	C₂²×C₄	C₂⁵	1	4	yes	—
1081	C₂²×C₄	C₂⁵	1	4	yes	—
1082	C₂²×C₄	C₂⁵	1	4	yes	—
1083	C₂²×C₄	C₂⁵	1	4	yes	—
1084	C₂²×C₄	C₂⁵	1	2	yes	—
1085	C₂²×C₄	C₂⁵	1	4	yes	—
1086	C₂²×C₄	C₂⁵	1	4	yes	—
1087	C₂²×C₄	C₂⁵	1	4	yes	—
1088	C₂²×C₄	C₂⁵	1	4	yes	—
1089	C₂²×C₄	C₂⁵	1	4	yes	—
1090	C₂²×C₄	C₂⁵	1	2	yes	—
1091	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1092	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1093	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1094	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1095	C₂²×C₄	C₂⁵	1	4	yes	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	2	4	no	—
1099	C₄⋊C₄	—	2	4	no	—
1100	C₄⋊C₄	—	2	8	no	—
1101	C₄⋊C₄	—	2	8	no	—
1102	C₄⋊C₄	—	2	8	no	—
1103	C₄⋊C₄	—	2	8	no	—
1104	C₄⋊C₄	—	4	4	no	—
1105	C₄⋊C₄	—	4	4	no	—
1106	C₄⋊C₄	—	4	2	no	—
1107	C₄⋊C₄	—	4	4	no	—
1108	C₄⋊C₄	—	4	2	no	—
1109	C₄⋊C₄	—	4	2	no	—
1110	C₄⋊C₄	—	4	4	no	—
1111	C₄⋊C₄	—	4	2	no	—
1112	C₄⋊C₄	—	4	2	no	—
1113	C₄⋊C₄	—	4	2	no	—
1114	C₄⋊C₄	—	4	4	no	—
1115	C₄⋊C₄	—	4	4	no	—
1116	C₄⋊C₄	—	4	4	no	—
1117	C₄⋊C₄	—	4	4	no	—
1118	C₄⋊C₄	—	4	4	no	—
1119	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	4	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	C₂²⋊C₄	—	2	4	no	—
1131	C₂²⋊C₄	—	2	4	no	—
1132	C₂²⋊C₄	—	2	4	no	—
1133	C₂²⋊C₄	—	2	8	no	—
1134	C₂²⋊C₄	—	2	8	no	—
1135	C₂²⋊C₄	—	2	8	no	—
1136	C₂²⋊C₄	—	2	8	no	—
1137	C₂²⋊C₄	—	2	4	no	—
1138	C₂²⋊C₄	—	2	4	no	—
1139	C₂²⋊C₄	—	2	8	no	—
1140	C₂²⋊C₄	—	2	4	no	—
1141	C₂²⋊C₄	—	2	8	no	—
1142	C₂²⋊C₄	—	2	8	no	—
1143	C₂²⋊C₄	—	2	4	no	—
1144	C₂²⋊C₄	—	2	4	no	—
1145	C₂²⋊C₄	—	2	4	no	—
1146	C₂²⋊C₄	—	2	8	no	—
1147	C₂²⋊C₄	—	2	4	no	—
1148	C₂²⋊C₄	—	2	4	no	—
1149	C₂²⋊C₄	—	2	4	no	—
1150	C₂²⋊C₄	—	2	4	no	—
1151	C₂²⋊C₄	—	2	4	no	—
1152	C₂²⋊C₄	—	2	4	no	—
1153	C₂²⋊C₄	—	2	4	no	—
1154	C₂²⋊C₄	—	2	4	no	—
1155	C₂²⋊C₄	—	2	4	no	—
1156	C₂²⋊C₄	—	2	4	no	—
1157	C₂²⋊C₄	—	2	8	no	—
1158	C₂²⋊C₄	—	2	8	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	—	4	4	no	—
1164	C₂²⋊C₄	—	4	4	no	—
1165	C₂²⋊C₄	—	4	4	no	—
1166	C₂²⋊C₄	—	4	4	no	—
1167	C₂²⋊C₄	—	4	4	no	—
1168	C₂²⋊C₄	—	4	4	no	—
1169	C₂²⋊C₄	—	4	4	no	—
1170	C₂²⋊C₄	—	4	4	no	—
1171	C₂²⋊C₄	—	4	4	no	—
1172	C₂²⋊C₄	—	4	4	no	—
1173	C₂²⋊C₄	—	4	4	no	—
1174	C₂²⋊C₄	—	4	4	no	—
1175	C₂²⋊C₄	—	4	4	no	—
1176	C₂²⋊C₄	—	4	4	no	—
1177	C₂²⋊C₄	—	4	4	no	—
1178	C₂²⋊C₄	—	4	4	no	—
1179	C₂²⋊C₄	—	4	4	no	—
1180	C₂²⋊C₄	—	4	4	no	—
1181	C₂²⋊C₄	—	4	4	no	—
1182	C₂²⋊C₄	—	4	4	no	—
1183	C₂²⋊C₄	—	4	4	no	—
1184	C₄²	—	2	4	no	—
1185	C₄²	—	2	8	no	—
1186	C₄²	—	2	8	no	—
1187	C₄²	—	4	4	no	—
1188	C₄²	—	4	4	no	—
1189	C₄²	—	4	4	no	—
1190	C₄²	—	4	4	no	—
1191	C₄²	—	4	4	no	—
1192	C₄²	—	4	4	no	—
1193	C₄²	—	4	4	no	—
1194	C₄²	—	4	4	no	—
1195	C₄²	—	4	4	no	—
1196	C₄²	—	4	4	no	—
1197	C₂³	—	2	16	no	—
1198	C₂³	—	2	16	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	2	1	no	—
1202	C₂³	—	2	1	no	—
1203	C₂³	—	2	1	no	—
1204	C₂³	—	2	1	no	—
1205	C₂³	—	2	2	no	—
1206	C₂³	—	2	2	no	—
1207	C₂³	—	2	8	no	—
1208	C₂³	—	2	8	no	—
1209	C₂³	—	2	8	no	—
1210	C₂³	—	2	2	no	—
1211	C₂³	—	2	4	no	—
1212	C₂³	—	2	2	no	—
1213	C₂³	—	2	4	no	—
1214	C₂³	—	2	8	no	—
1215	C₂³	—	2	2	no	—
1216	C₂³	—	2	2	no	—
1217	C₂³	—	2	4	no	—
1218	C₂³	—	2	4	no	—
1219	C₂³	—	2	2	no	—
1220	C₂³	—	2	2	no	—
1221	C₂³	—	2	4	no	—
1222	C₂³	—	2	4	no	—
1223	C₂³	—	2	2	no	—
1224	C₂³	—	2	2	no	—
1225	C₂³	—	4	8	no	—
1226	C₂³	—	4	8	no	—
1227	C₂³	—	4	8	no	—
1228	C₂³	—	4	16	no	—
1229	C₂³	—	4	16	no	—
1230	C₂³	—	4	8	no	—
1231	C₂³	—	4	8	no	—
1232	C₂³	—	4	4	no	—
1233	C₂³	—	4	8	no	—
1234	C₂³	—	8	2	no	—
1235	C₂³	—	8	4	no	—
1236	C₂³	—	8	2	no	—
1237	C₂³	—	8	2	no	—
1238	C₂³	—	8	4	no	—
1239	C₂³	—	8	2	no	—
1240	C₂³	—	8	8	no	—
1241	C₂³	—	8	4	no	—
1242	C₂³	—	8	8	no	—
1243	C₂³	—	8	4	no	—
1244	C₂³	—	8	64	no	—
1245	C₂³	C₂²×#41	1	2	yes	—
1246	C₂³	C₂²×#41	1	2	yes	—
1247	C₂³	C₂²×#41	1	2	yes	—
1248	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1249	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1250	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
1251	C₂³	#585	1	2	yes	—
1252	C₂³	#585	1	4	yes	—
1253	C₂³	C₂⁶	1	1	yes	characteristic
1254	Q₈	—	2	16	no	—
1255	Q₈	—	2	16	no	—
1256	Q₈	—	4	16	no	—
1257	Q₈	—	4	16	no	—
1258	Q₈	—	4	8	no	—
1259	Q₈	—	4	8	no	—
1260	Q₈	—	8	2	no	—
1261	Q₈	—	16	4	no	—
1262	D₄	—	4	8	no	—
1263	D₄	—	4	8	no	—
1264	D₄	—	4	8	no	—
1265	D₄	—	8	2	no	—
1266	D₄	—	8	8	no	—
1267	D₄	—	16	4	no	—
1268	C₂×C₄	—	2	4	no	—
1269	C₂×C₄	—	2	2	no	—
1270	C₂×C₄	—	2	2	no	—
1271	C₂×C₄	—	2	4	no	—
1272	C₂×C₄	—	2	2	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	8	no	—
1275	C₂×C₄	—	2	8	no	—
1276	C₂×C₄	—	2	16	no	—
1277	C₂×C₄	—	2	2	no	—
1278	C₂×C₄	—	2	2	no	—
1279	C₂×C₄	—	2	2	no	—
1280	C₂×C₄	—	2	2	no	—
1281	C₂×C₄	—	2	2	no	—
1282	C₂×C₄	—	2	4	no	—
1283	C₂×C₄	—	2	4	no	—
1284	C₂×C₄	—	2	4	no	—
1285	C₂×C₄	—	2	4	no	—
1286	C₂×C₄	—	2	4	no	—
1287	C₂×C₄	—	2	4	no	—
1288	C₂×C₄	—	2	4	no	—
1289	C₂×C₄	—	2	4	no	—
1290	C₂×C₄	—	2	4	no	—
1291	C₂×C₄	—	2	4	no	—
1292	C₂×C₄	—	2	4	no	—
1293	C₂×C₄	—	2	4	no	—
1294	C₂×C₄	—	2	4	no	—
1295	C₂×C₄	—	2	4	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	4	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	4	no	—
1301	C₂×C₄	—	2	4	no	—
1302	C₂×C₄	—	2	4	no	—
1303	C₂×C₄	—	2	4	no	—
1304	C₂×C₄	—	2	4	no	—
1305	C₂×C₄	—	2	4	no	—
1306	C₂×C₄	—	2	4	no	—
1307	C₂×C₄	—	2	4	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	—	4	4	no	—
1316	C₂×C₄	—	4	4	no	—
1317	C₂×C₄	—	4	4	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	—	4	16	no	—
1320	C₂×C₄	—	4	16	no	—
1321	C₂×C₄	—	4	8	no	—
1322	C₂×C₄	—	4	8	no	—
1323	C₂×C₄	—	8	4	no	—
1324	C₂×C₄	—	8	8	no	—
1325	C₂×C₄	—	8	2	no	—
1326	C₂×C₄	—	8	4	no	—
1327	C₂×C₄	—	8	2	no	—
1328	C₂×C₄	—	8	4	no	—
1329	C₂×C₄	—	8	8	no	—
1330	C₂×C₄	—	8	8	no	—
1331	C₂×C₄	—	8	4	no	—
1332	C₂×C₄	—	16	4	no	—
1333	C₂×C₄	—	16	4	no	—
1334	C₂×C₄	C₂²×#41	1	2	yes	—
1335	C₂×C₄	C₂²×#41	1	2	yes	—
1336	C₂×C₄	C₂²×#41	1	2	yes	—
1337	C₂×C₄	C₂²×#41	1	2	yes	—
1338	C₂×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1339	C₂²	—	2	32	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	2	no	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	2	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	4	no	—
1347	C₂²	—	2	4	no	—
1348	C₂²	—	2	4	no	—
1349	C₂²	—	2	4	no	—
1350	C₂²	—	2	4	no	—
1351	C₂²	—	2	4	no	—
1352	C₂²	—	2	4	no	—
1353	C₂²	—	2	8	no	—
1354	C₂²	—	4	2	no	—
1355	C₂²	—	4	2	no	—
1356	C₂²	—	4	4	no	—
1357	C₂²	—	4	2	no	—
1358	C₂²	—	4	2	no	—
1359	C₂²	—	4	2	no	—
1360	C₂²	—	4	2	no	—
1361	C₂²	—	4	2	no	—
1362	C₂²	—	4	2	no	—
1363	C₂²	—	4	4	no	—
1364	C₂²	—	4	4	no	—
1365	C₂²	—	4	4	no	—
1366	C₂²	—	4	4	no	—
1367	C₂²	—	8	8	no	—
1368	C₂²	—	8	16	no	—
1369	C₂²	—	8	16	no	—
1370	C₂²	—	8	8	no	—
1371	C₂²	#3490	1	4	yes	—
1372	C₂²	#3495	1	4	yes	—
1373	C₂²	#3510	1	4	yes	—
1374	C₂²	C₂³×#41	1	1	yes	characteristic
1375	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1376	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1377	C₂²	C₂×#585	1	1	yes	characteristic
1378	C₂²	C₂×#585	1	2	yes	—
1379	C₄	—	2	2	no	—
1380	C₄	—	2	2	no	—
1381	C₄	—	2	2	no	—
1382	C₄	—	2	2	no	—
1383	C₄	—	2	8	no	—
1384	C₄	—	4	4	no	—
1385	C₄	—	4	2	no	—
1386	C₄	—	4	2	no	—
1387	C₄	—	4	2	no	—
1388	C₄	—	4	2	no	—
1389	C₄	—	4	2	no	—
1390	C₄	—	4	4	no	—
1391	C₄	—	4	4	no	—
1392	C₄	—	4	4	no	—
1393	C₄	—	4	4	no	—
1394	C₄	—	4	4	no	—
1395	C₄	—	4	4	no	—
1396	C₄	—	4	4	no	—
1397	C₄	—	4	4	no	—
1398	C₂	—	2	4	no	—
1399	C₂	—	2	4	no	—
1400	C₂	—	2	4	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	8	2	no	—
1403	C₂	—	8	2	no	—
1404	C₂	C₂×#3490	1	1	yes	characteristic
1405	C₂	C₂×#3495	1	1	yes	characteristic
1406	C₂	C₂×#3510	1	1	yes	characteristic
1407	C₂	#62819	1	2	yes	—
1408	C₂	#62824	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#35050	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #44786	C₂	semidirect
2. #44759	C₂	semidirect
3. #43965	C₂	semidirect
4. #43962	C₂	semidirect
5. #43179	C₂	semidirect
6. #43176	C₂	semidirect
7. #43081	C₂	semidirect
8. #43078	C₂	semidirect
9. #42318	C₂	semidirect
10. #40645	C₂	semidirect
11. #40543	C₂	semidirect
12. #40541	C₂	semidirect
13. #36206	C₂	semidirect
14. #36158	C₂	semidirect
15. #36079	C₂	semidirect
16. #35942	C₂	semidirect
17. #35706	C₂	semidirect
18. #35705	C₂	semidirect
19. #35242	C₂	semidirect
20. #35052	C₂	semidirect
22. C₂²×#393	C₂	semidirect
23. #34218	C₂	semidirect
24. #34176	C₂	semidirect
25. #34173	C₂	semidirect
28. C₂×#536	C₂²	semidirect
30. C₂×#519	C₂²	semidirect
37. #2832	C₂²	semidirect
38. #2831	C₂²	semidirect
39. #2808	C₂²	semidirect
40. #2804	C₂²	semidirect
41. #2798	C₂²	semidirect
42. #2798	C₂²	semidirect
43. #2788	C₂²	semidirect
44. #2775	C₂²	semidirect
45. #2764	C₂²	semidirect
46. #2763	C₂²	semidirect
47. #2759	C₂²	semidirect
48. #2759	C₂²	semidirect
49. #2759	C₂²	semidirect
50. #2754	C₂²	semidirect
51. #2754	C₂²	semidirect
52. #2751	C₂²	semidirect
53. #2751	C₂²	semidirect
54. #2745	C₂²	semidirect
55. #2716	C₂²	semidirect
56. #2716	C₂²	semidirect
57. #2712	C₂²	semidirect
58. #2710	C₂²	semidirect
59. #2702	C₂²	semidirect
60. #2700	C₂²	semidirect
61. #2692	C₂²	semidirect
62. #2687	C₂²	semidirect
63. #2665	C₂²	semidirect
64. #2659	C₂²	semidirect
65. #2653	C₂²	semidirect
66. #2653	C₂²	semidirect
67. #2650	C₂²	semidirect
68. #2646	C₂²	semidirect
69. #2637	C₂²	semidirect
70. #2632	C₂²	semidirect
75. #2614	C₂²	semidirect
76. #2614	C₂²	semidirect
77. #2607	C₂²	semidirect
78. #2604	C₂²	semidirect
79. #2599	C₂²	semidirect
80. #2592	C₂²	semidirect
81. #2589	C₂²	semidirect
82. #2589	C₂²	semidirect
83. #2580	C₂²	semidirect
84. #2574	C₂²	semidirect
85. #2572	C₂²	semidirect
86. #2569	C₂²	semidirect
87. #2569	C₂²	semidirect
88. #2569	C₂²	semidirect
89. #2564	C₂²	semidirect
92. #2560	C₂²	semidirect
93. #2557	C₂²	semidirect
94. #2549	C₂²	semidirect
95. #2549	C₂²	semidirect
99. #2532	C₂²	semidirect
100. #2532	C₂²	semidirect
101. #2527	C₂²	semidirect
102. #2527	C₂²	semidirect
103. #2523	C₂²	semidirect
104. #2510	C₂²	semidirect
105. #2510	C₂²	semidirect
106. #2505	C₂²	semidirect
107. #2505	C₂²	semidirect
108. #2498	C₂²	semidirect
109. #2498	C₂²	semidirect
110. #2493	C₂²	semidirect
111. #2493	C₂²	semidirect
112. #2493	C₂²	semidirect
113. #2493	C₂²	semidirect
114. #2492	C₂²	semidirect
115. #2488	C₂²	semidirect
116. #2488	C₂²	semidirect
117. #2488	C₂²	semidirect
125. #2477	C₂²	semidirect
128. #2469	C₂²	semidirect
129. #2469	C₂²	semidirect
130. #2465	C₂²	semidirect
131. #2465	C₂²	semidirect
132. #2459	C₂²	semidirect
133. #2458	C₂²	semidirect
134. #2458	C₂²	semidirect
135. #2458	C₂²	semidirect
136. #2458	C₂²	semidirect
137. #2450	C₂²	semidirect
138. #2439	C₂²	semidirect
139. #2438	C₂²	semidirect
140. #2438	C₂²	semidirect
141. #2438	C₂²	semidirect
142. #2438	C₂²	semidirect
145. #2436	C₂²	semidirect
146. #2436	C₂²	semidirect
147. #2434	C₂²	semidirect
148. #2434	C₂²	semidirect
149. #2419	C₂²	semidirect
150. #2419	C₂²	semidirect
158. #2409	C₂²	semidirect
159. #2409	C₂²	semidirect
160. #2409	C₂²	semidirect
162. #2398	C₂²	semidirect
163. #2396	C₂²	semidirect
174. #2368	C₂²	semidirect
175. #2368	C₂²	semidirect
176. #2364	C₂²	semidirect
177. #2359	C₂²	semidirect
178. #2359	C₂²	semidirect
179. #2359	C₂²	semidirect
182. #2353	C₂²	semidirect
183. #2353	C₂²	semidirect
184. #2349	C₂²	semidirect
185. #2343	C₂²	semidirect
186. #2343	C₂²	semidirect
187. #2343	C₂²	semidirect
195. Q₈×C₂²⋊C₄	C₂²	semidirect
196. Q₈×C₂²⋊C₄	C₂²	semidirect
197. Q₈×C₂²⋊C₄	C₂²	semidirect
198. Q₈×C₂²⋊C₄	C₂²	semidirect
199. Q₈×C₂²⋊C₄	C₂²	semidirect
200. Q₈×C₂²⋊C₄	C₂²	semidirect
201. #2339	C₂²	semidirect
202. #2329	C₂²	semidirect
203. #2329	C₂²	semidirect
204. #2325	C₂²	semidirect
207. #2318	C₂²	semidirect
213. #2310	C₂²	semidirect
214. #2310	C₂²	semidirect
215. #2310	C₂²	semidirect
223. #2275	C₂²	semidirect
244. C₂×C₄⋊Q₈	C₂³	semidirect
248. C₂×#124	C₂³	semidirect
262. C₂×C₂²⋊Q₈	C₂³	semidirect
263. C₂×C₂²⋊Q₈	C₂³	semidirect
272. C₂×C₄×Q₈	C₂³	semidirect
273. C₂×C₄×Q₈	C₂³	semidirect
274. C₂×C₄×Q₈	C₂³	semidirect
275. C₂×C₄×Q₈	C₂³	semidirect
310. #401	C₂³	semidirect
311. #401	C₂³	semidirect
312. #400	C₂³	semidirect
313. #400	C₂³	semidirect
314. #400	C₂³	semidirect
315. #400	C₂³	semidirect
316. #400	C₂³	semidirect
317. #400	C₂³	semidirect
318. #400	C₂³	semidirect
319. #400	C₂³	semidirect
320. #400	C₂³	semidirect
321. #400	C₂³	semidirect
322. #400	C₂³	semidirect
323. #400	C₂³	semidirect
324. #400	C₂³	semidirect
329. #399	C₂³	semidirect
330. #398	C₂³	semidirect
331. #398	C₂³	semidirect
332. #398	C₂³	semidirect
333. #398	C₂³	semidirect
334. #398	C₂³	semidirect
335. #398	C₂³	semidirect
336. #398	C₂³	semidirect
337. #398	C₂³	semidirect
350. #397	C₂³	semidirect
351. #397	C₂³	semidirect
352. #397	C₂³	semidirect
353. #397	C₂³	semidirect
360. #395	C₂³	semidirect
361. #395	C₂³	semidirect
362. #395	C₂³	semidirect
363. #395	C₂³	semidirect
364. #395	C₂³	semidirect
365. #395	C₂³	semidirect
366. #395	C₂³	semidirect
367. #395	C₂³	semidirect
368. #395	C₂³	semidirect
401. #393	C₂³	semidirect
402. #393	C₂³	semidirect
403. #393	C₂³	semidirect
404. #393	C₂³	semidirect
405. #393	C₂³	semidirect
406. #393	C₂³	semidirect
407. #393	C₂³	semidirect
410. #391	C₂³	semidirect
411. #391	C₂³	semidirect
412. #391	C₂³	semidirect
413. #391	C₂³	semidirect
414. #391	C₂³	semidirect
415. #391	C₂³	semidirect
416. #391	C₂³	semidirect
417. #391	C₂³	semidirect
418. #391	C₂³	semidirect
419. #391	C₂³	semidirect
420. #391	C₂³	semidirect
421. #391	C₂³	semidirect
422. #391	C₂³	semidirect
423. #391	C₂³	semidirect
424. #391	C₂³	semidirect
425. #391	C₂³	semidirect
426. #391	C₂³	semidirect
427. #391	C₂³	semidirect
428. #391	C₂³	semidirect
429. #391	C₂³	semidirect
430. #391	C₂³	semidirect
435. #389	C₂³	semidirect
436. #389	C₂³	semidirect
437. #389	C₂³	semidirect
438. #389	C₂³	semidirect
439. #389	C₂³	semidirect
468. #388	C₂³	semidirect
469. #388	C₂³	semidirect
470. #388	C₂³	semidirect
471. #388	C₂³	semidirect
472. #388	C₂³	semidirect
473. #388	C₂³	semidirect
474. #388	C₂³	semidirect
475. #388	C₂³	semidirect
476. #387	C₂³	semidirect
477. #387	C₂³	semidirect
478. #387	C₂³	semidirect
479. #387	C₂³	semidirect
480. #387	C₂³	semidirect
481. #387	C₂³	semidirect
482. #387	C₂³	semidirect
483. #387	C₂³	semidirect
484. #387	C₂³	semidirect
485. #387	C₂³	semidirect
486. #387	C₂³	semidirect
487. #387	C₂³	semidirect
488. #387	C₂³	semidirect
489. #387	C₂³	semidirect
490. #387	C₂³	semidirect
491. #387	C₂³	semidirect
492. #387	C₂³	semidirect
493. #387	C₂³	semidirect
494. #387	C₂³	semidirect
495. #387	C₂³	semidirect
496. #387	C₂³	semidirect
497. #387	C₂³	semidirect
498. #387	C₂³	semidirect
499. #387	C₂³	semidirect
500. #387	C₂³	semidirect
501. #387	C₂³	semidirect
518. #386	C₂³	semidirect
543. #385	C₂³	semidirect
544. #385	C₂³	semidirect
545. #385	C₂³	semidirect
546. #383	C₂³	semidirect
547. #383	C₂³	semidirect
548. #383	C₂³	semidirect
549. #383	C₂³	semidirect
550. #382	C₂³	semidirect
551. #382	C₂³	semidirect
552. #382	C₂³	semidirect
564. #381	C₂³	semidirect
565. #381	C₂³	semidirect
587. #380	C₂³	semidirect
599. C₄×C₄⋊C₄	C₂³	semidirect
600. C₄×C₄⋊C₄	C₂³	semidirect
601. C₄×C₄⋊C₄	C₂³	semidirect
602. C₄×C₄⋊C₄	C₂³	semidirect
625. C₄×C₂²⋊C₄	C₂³	semidirect
626. C₄×C₂²⋊C₄	C₂³	semidirect
627. C₄×C₂²⋊C₄	C₂³	semidirect
628. #376	C₂³	semidirect
629. #376	C₂³	semidirect
643. 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
#44786	2
#44759	2
#43965	2
#43962	2
#43179	2
#43176	2
#43081	2
#43078	2
#42318	2
#40645	2
#40543	2
#40541	2
#36206	2
#36158	2
#36079	2
#35942	2
#35706	2
#35705	2
#35242	2
#35052	2
#35050	2
C₂²×#393	2
#34218	2
#34176	2
#34173	2