Subgroups — #8388244

Order 512.

7012 conjugacy classes of subgroups.

The subgroup lattice has 1508 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59947	C₂	1	2	yes	maximal, complemented
2	#59006	C₂	1	2	yes	maximal, complemented
3	#56299	C₂	1	4	yes	maximal, complemented
4	#55419	C₂	1	4	yes	maximal, complemented
5	#49969	C₂	1	4	yes	maximal, complemented
6	#49559	C₂	1	4	yes	maximal, complemented
7	#49264	C₂	1	4	yes	maximal, complemented
8	#47871	C₂	1	4	yes	maximal, complemented
9	#46199	C₂	1	2	yes	maximal, complemented
10	#45438	C₂	1	2	yes	maximal, complemented
11	#44138	C₂	1	4	yes	maximal, complemented
12	#43964	C₂	1	2	yes	maximal, complemented
13	#43926	C₂	1	4	yes	maximal, complemented
14	#43002	C₂	1	2	yes	maximal, complemented
15	#40488	C₂	1	2	yes	maximal, complemented
16	#37694	C₂	1	4	yes	maximal, complemented
17	#37660	C₂	1	4	yes	maximal, complemented
18	#36718	C₂	1	1	yes	maximal, characteristic, complemented
19	#36338	C₂	1	2	yes	maximal, complemented
20	#36152	C₂	1	2	yes	maximal, complemented
21	#35695	C₂	1	2	yes	maximal, complemented
22	#35395	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#2433	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁴×D₄	C₂²	1	1	yes	characteristic
25	C₂×#560	C₂²	1	2	yes	complemented
26	C₂×#551	C₂²	1	2	yes	complemented
27	C₂×#546	C₂²	1	2	yes	—
28	C₂×#546	C₂²	1	4	yes	complemented
29	C₂×#543	C₂²	1	1	yes	characteristic, complemented
30	C₂×#540	C₂²	1	4	yes	complemented
31	C₂×#538	C₂²	1	1	yes	characteristic, complemented
32	C₂×#538	C₂²	1	4	yes	complemented
33	C₂²×#127	C₂²	1	2	yes	—
34	C₂²×#121	C₂²	1	1	yes	characteristic
35	C₂²×#120	C₂²	1	2	yes	—
36	C₂²×#120	C₂²	1	2	yes	—
37	#2851	C₂²	1	4	yes	complemented
38	#2848	C₂²	1	2	yes	—
39	#2846	C₂²	1	4	yes	—
40	#2830	C₂²	1	2	yes	complemented
41	#2830	C₂²	1	2	yes	complemented
42	#2819	C₂²	1	2	yes	complemented
43	#2813	C₂²	1	2	yes	complemented
44	#2812	C₂²	1	4	yes	complemented
45	#2803	C₂²	1	4	yes	complemented
46	#2803	C₂²	1	4	yes	complemented
47	#2784	C₂²	1	2	yes	complemented
48	#2753	C₂²	1	4	yes	complemented
49	#2730	C₂²	1	4	yes	complemented
50	#2727	C₂²	1	4	yes	complemented
51	#2724	C₂²	1	2	yes	complemented
52	#2723	C₂²	1	4	yes	complemented
53	#2723	C₂²	1	4	yes	complemented
54	#2714	C₂²	1	4	yes	complemented
55	#2709	C₂²	1	4	yes	complemented
56	#2709	C₂²	1	4	yes	complemented
57	#2709	C₂²	1	4	yes	complemented
58	#2709	C₂²	1	4	yes	complemented
59	#2707	C₂²	1	4	yes	complemented
60	#2707	C₂²	1	4	yes	complemented
61	#2705	C₂²	1	4	yes	complemented
62	#2703	C₂²	1	4	yes	complemented
63	#2699	C₂²	1	2	yes	complemented
64	#2697	C₂²	1	2	yes	complemented
65	#2697	C₂²	1	2	yes	complemented
66	#2697	C₂²	1	4	yes	complemented
67	#2696	C₂²	1	4	yes	complemented
68	#2685	C₂²	1	4	yes	complemented
69	#2685	C₂²	1	4	yes	complemented
70	#2685	C₂²	1	4	yes	complemented
71	#2685	C₂²	1	4	yes	complemented
72	#2684	C₂²	1	4	yes	complemented
73	#2684	C₂²	1	2	yes	complemented
74	#2683	C₂²	1	2	yes	complemented
75	#2682	C₂²	1	4	yes	complemented
76	#2681	C₂²	1	4	yes	complemented
77	#2681	C₂²	1	4	yes	complemented
78	#2678	C₂²	1	4	yes	complemented
79	#2678	C₂²	1	4	yes	complemented
80	#2678	C₂²	1	4	yes	complemented
81	#2678	C₂²	1	4	yes	complemented
82	#2676	C₂²	1	4	yes	complemented
83	#2676	C₂²	1	4	yes	complemented
84	#2676	C₂²	1	4	yes	complemented
85	#2675	C₂²	1	4	yes	complemented
86	#2673	C₂²	1	4	yes	complemented
87	#2673	C₂²	1	4	yes	complemented
88	#2673	C₂²	1	4	yes	complemented
89	#2673	C₂²	1	4	yes	complemented
90	#2672	C₂²	1	4	yes	complemented
91	#2672	C₂²	1	4	yes	complemented
92	#2670	C₂²	1	4	yes	complemented
93	#2669	C₂²	1	2	yes	complemented
94	#2669	C₂²	1	4	yes	complemented
95	#2668	C₂²	1	4	yes	complemented
96	#2668	C₂²	1	4	yes	complemented
97	#2662	C₂²	1	2	yes	complemented
98	#2656	C₂²	1	2	yes	complemented
99	#2648	C₂²	1	4	yes	complemented
100	#2641	C₂²	1	4	yes	complemented
101	#2636	C₂²	1	2	yes	complemented
102	#2626	C₂²	1	2	yes	complemented
103	#2622	C₂²	1	4	yes	complemented
104	#2619	C₂²	1	4	yes	complemented
105	#2617	C₂²	1	4	yes	complemented
106	#2615	C₂²	1	2	yes	complemented
107	#2610	C₂²	1	4	yes	complemented
108	#2602	C₂²	1	4	yes	complemented
109	#2593	C₂²	1	2	yes	complemented
110	#2591	C₂²	1	1	yes	characteristic, complemented
111	#2583	C₂²	1	2	yes	complemented
112	#2583	C₂²	1	1	yes	characteristic, complemented
113	#2569	C₂²	1	2	yes	complemented
114	#2564	C₂²	1	2	yes	complemented
115	#2559	C₂²	1	4	yes	complemented
116	#2557	C₂²	1	4	yes	complemented
117	#2556	C₂²	1	4	yes	complemented
118	#2555	C₂²	1	4	yes	complemented
119	#2555	C₂²	1	2	yes	complemented
120	#2554	C₂²	1	4	yes	complemented
121	#2554	C₂²	1	4	yes	complemented
122	#2553	C₂²	1	4	yes	complemented
123	#2543	C₂²	1	4	yes	complemented
124	#2540	C₂²	1	2	yes	complemented
125	#2540	C₂²	1	4	yes	complemented
126	#2534	C₂²	1	4	yes	complemented
127	#2530	C₂²	1	4	yes	complemented
128	#2526	C₂²	1	4	yes	complemented
129	#2517	C₂²	1	4	yes	complemented
130	#2480	C₂²	1	4	yes	—
131	#2480	C₂²	1	4	yes	complemented
132	#2480	C₂²	1	4	yes	complemented
133	#2477	C₂²	1	4	yes	complemented
134	#2476	C₂²	1	4	yes	complemented
135	#2472	C₂²	1	4	yes	complemented
136	#2472	C₂²	1	4	yes	complemented
137	#2472	C₂²	1	4	yes	complemented
138	#2471	C₂²	1	4	yes	complemented
139	#2467	C₂²	1	4	yes	complemented
140	#2464	C₂²	1	4	yes	complemented
141	#2463	C₂²	1	4	yes	complemented
142	#2461	C₂²	1	4	yes	complemented
143	#2460	C₂²	1	4	yes	complemented
144	#2459	C₂²	1	4	yes	complemented
145	#2457	C₂²	1	4	yes	complemented
146	#2456	C₂²	1	4	yes	complemented
147	#2445	C₂²	1	4	yes	complemented
148	#2445	C₂²	1	4	yes	complemented
149	#2437	C₂²	1	4	yes	complemented
150	#2437	C₂²	1	4	yes	complemented
151	#2435	C₂²	1	2	yes	—
152	#2435	C₂²	1	2	yes	—
153	#2435	C₂²	1	1	yes	characteristic
154	#2435	C₂²	1	4	yes	complemented
155	#2433	C₂²	1	4	yes	—
156	#2433	C₂²	1	1	yes	characteristic
157	#2433	C₂²	1	4	yes	—
158	#2433	C₂²	1	4	yes	—
159	#2433	C₂²	1	4	yes	—
160	#2430	C₂²	1	2	yes	complemented
161	#2428	C₂²	1	4	yes	complemented
162	#2428	C₂²	1	4	yes	complemented
163	#2428	C₂²	1	4	yes	complemented
164	#2424	C₂²	1	4	yes	complemented
165	#2424	C₂²	1	4	yes	complemented
166	#2424	C₂²	1	4	yes	complemented
167	#2418	C₂²	1	4	yes	—
168	#2418	C₂²	1	4	yes	complemented
169	#2418	C₂²	1	4	yes	complemented
170	#2414	C₂²	1	4	yes	complemented
171	#2412	C₂²	1	4	yes	complemented
172	#2411	C₂²	1	4	yes	complemented
173	#2410	C₂²	1	2	yes	—
174	#2410	C₂²	1	4	yes	—
175	#2410	C₂²	1	4	yes	complemented
176	#2410	C₂²	1	4	yes	complemented
177	#2410	C₂²	1	4	yes	complemented
178	#2410	C₂²	1	2	yes	complemented
179	#2410	C₂²	1	4	yes	complemented
180	#2408	C₂²	1	2	yes	—
181	#2408	C₂²	1	4	yes	complemented
182	#2408	C₂²	1	4	yes	complemented
183	#2408	C₂²	1	4	yes	complemented
184	#2407	C₂²	1	4	yes	complemented
185	#2405	C₂²	1	4	yes	—
186	#2405	C₂²	1	2	yes	—
187	#2405	C₂²	1	4	yes	complemented
188	#2405	C₂²	1	4	yes	complemented
189	#2405	C₂²	1	4	yes	complemented
190	#2405	C₂²	1	2	yes	complemented
191	#2405	C₂²	1	4	yes	complemented
192	#2392	C₂²	1	4	yes	complemented
193	C₂×#392	C₂²	1	2	yes	—
194	C₂×#392	C₂²	1	2	yes	—
195	#2376	C₂²	1	4	yes	complemented
196	#2375	C₂²	1	2	yes	complemented
197	#2373	C₂²	1	4	yes	complemented
198	#2368	C₂²	1	2	yes	complemented
199	#2363	C₂²	1	4	yes	complemented
200	#2359	C₂²	1	4	yes	complemented
201	#2358	C₂²	1	4	yes	complemented
202	#2358	C₂²	1	2	yes	complemented
203	#2349	C₂²	1	2	yes	complemented
204	#2342	C₂²	1	4	yes	complemented
205	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
206	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
207	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
208	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
209	#2328	C₂²	1	4	yes	complemented
210	#2321	C₂²	1	2	yes	complemented
211	#2321	C₂²	1	4	yes	complemented
212	#2312	C₂²	1	1	yes	characteristic, complemented
213	C₄×#120	C₂²	1	2	yes	—
214	C₂×#390	C₂²	1	2	yes	—
215	#2290	C₂²	1	4	yes	complemented
216	C₂×#379	C₂²	1	4	yes	—
217	#2273	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
219	C₂⁶	C₂³	1	2	yes	—
220	C₂²×#41	C₂³	1	2	yes	—
221	C₂³×D₄	—	4	4	no	—
222	C₂³×D₄	—	4	8	no	—
223	C₂³×D₄	C₂³	1	2	yes	—
224	C₂³×D₄	C₂³	1	4	yes	—
225	C₂³×D₄	C₂³	1	2	yes	—
226	C₂³×D₄	C₂³	1	4	yes	—
227	C₂³×D₄	C₂³	1	4	yes	—
228	C₂³×D₄	C₂³	1	4	yes	—
229	C₂³×D₄	C₂³	1	1	yes	characteristic
230	C₂³×D₄	C₂³	1	1	yes	characteristic
231	C₂³×D₄	C₂³	1	1	yes	characteristic
232	C₂⁴×C₄	C₂³	1	1	yes	characteristic
233	#560	—	4	8	no	—
234	#551	—	4	8	no	—
235	#546	—	4	8	no	—
236	#546	—	4	16	no	—
237	#543	—	4	4	no	—
238	#540	—	4	16	no	—
239	#538	—	4	4	no	—
240	#538	—	4	16	no	—
241	C₂×#127	—	4	8	no	—
242	C₂×#127	C₂³	1	4	yes	—
243	C₂×#127	C₂³	1	4	yes	—
244	C₂×#127	C₂³	1	2	yes	—
245	C₂×#127	C₂³	1	4	yes	—
246	C₂×#127	C₂³	1	4	yes	—
247	C₂×#126	C₂³	1	4	yes	—
248	C₂×#126	C₂³	1	2	yes	complemented
249	C₂×#126	C₂³	1	4	yes	complemented
250	C₂×#126	C₂³	1	4	yes	complemented
251	C₂×#125	C₂³	1	4	yes	complemented
252	C₂×#124	C₂³	1	2	yes	—
253	C₂×#124	C₂³	1	4	yes	—
254	C₂×#124	C₂³	1	4	yes	—
255	C₂×#124	C₂³	1	2	yes	—
256	C₂×#124	C₂³	1	2	yes	complemented
257	C₂×#124	C₂³	1	4	yes	complemented
258	C₂×#123	C₂³	1	4	yes	—
259	C₂×#123	C₂³	1	4	yes	—
260	C₂×#123	C₂³	1	4	yes	—
261	C₂×#123	C₂³	1	2	yes	—
262	C₂×#123	C₂³	1	2	yes	—
263	C₂×#123	C₂³	1	4	yes	—
264	C₂×#123	C₂³	1	4	yes	complemented
265	C₂×#123	C₂³	1	4	yes	complemented
266	C₂×#123	C₂³	1	4	yes	complemented
267	C₂×#123	C₂³	1	4	yes	complemented
268	C₂×#123	C₂³	1	4	yes	complemented
269	C₂×#123	C₂³	1	2	yes	complemented
270	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
271	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
273	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
274	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
275	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
276	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
277	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
278	C₂×#121	—	4	4	no	—
279	C₂×#121	C₂³	1	4	yes	—
280	C₂×#121	C₂³	1	1	yes	characteristic
281	C₂×#121	C₂³	1	2	yes	—
282	C₂×#121	C₂³	1	4	yes	—
283	C₂×#121	C₂³	1	4	yes	—
284	C₂×#121	C₂³	1	4	yes	—
285	C₂×#121	C₂³	1	4	yes	—
286	C₂×#121	C₂³	1	4	yes	—
287	C₂×#121	C₂³	1	4	yes	—
288	C₂×#121	C₂³	1	4	yes	complemented
289	C₂×#121	C₂³	1	2	yes	complemented
290	C₂×#121	C₂³	1	4	yes	complemented
291	C₂×#121	C₂³	1	4	yes	complemented
292	C₂×#121	C₂³	1	4	yes	complemented
293	C₂×#121	C₂³	1	4	yes	complemented
294	C₂×#121	C₂³	1	4	yes	complemented
295	C₂×#121	C₂³	1	4	yes	complemented
296	C₂×#121	C₂³	1	4	yes	complemented
297	C₂×#121	C₂³	1	4	yes	complemented
298	C₂×#121	C₂³	1	4	yes	complemented
299	C₂×#120	—	4	8	no	—
300	C₂×#120	—	4	8	no	—
301	C₂×#120	C₂³	1	4	yes	—
302	C₂×#120	C₂³	1	2	yes	—
303	C₂×#120	C₂³	1	2	yes	—
304	C₂×#120	C₂³	1	2	yes	—
305	C₂×#120	C₂³	1	2	yes	—
306	C₂×#120	C₂³	1	4	yes	—
307	C₂×#120	C₂³	1	4	yes	—
308	C₂×#120	C₂³	1	4	yes	—
309	C₂×#120	C₂³	1	4	yes	—
310	C₂×#120	C₂³	1	4	yes	—
311	C₂×#120	C₂³	1	4	yes	—
312	C₂×#120	C₂³	1	4	yes	—
313	C₂×#120	C₂³	1	4	yes	—
314	C₂×#120	C₂³	1	2	yes	—
315	C₂×#120	C₂³	1	4	yes	—
316	C₂×#120	C₂³	1	4	yes	—
317	C₂×#120	C₂³	1	4	yes	—
318	C₂×#120	C₂³	1	2	yes	—
319	C₂×#120	C₂³	1	2	yes	—
320	C₂×C₄×D₄	C₂³	1	2	yes	—
321	C₂×C₄×D₄	C₂³	1	4	yes	—
322	C₂×C₄×D₄	C₂³	1	2	yes	—
323	C₂×C₄×D₄	C₂³	1	4	yes	—
324	C₂×C₄×D₄	C₂³	1	4	yes	—
325	C₂×C₄×D₄	C₂³	1	4	yes	complemented
326	C₂×C₄×D₄	C₂³	1	4	yes	complemented
327	C₂×C₄×D₄	C₂³	1	4	yes	complemented
328	C₂×C₄×D₄	C₂³	1	4	yes	complemented
329	C₂×C₄×D₄	C₂³	1	4	yes	complemented
330	C₂×#117	C₂³	1	4	yes	complemented
331	C₂×#117	C₂³	1	4	yes	complemented
332	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
336	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
337	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
338	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
339	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
340	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
341	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
342	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
343	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
344	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
345	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
346	C₂²×C₄²	C₂³	1	2	yes	—
347	#400	C₂³	1	2	yes	complemented
348	#400	C₂³	1	4	yes	complemented
349	#400	C₂³	1	2	yes	complemented
350	#399	C₂³	1	4	yes	—
351	#399	C₂³	1	2	yes	complemented
352	#399	C₂³	1	2	yes	complemented
353	#399	C₂³	1	2	yes	complemented
354	#399	C₂³	1	4	yes	complemented
355	#399	C₂³	1	4	yes	complemented
356	#398	C₂³	1	4	yes	complemented
357	#398	C₂³	1	2	yes	complemented
358	#398	C₂³	1	2	yes	complemented
359	#398	C₂³	1	2	yes	complemented
360	#397	C₂³	1	4	yes	—
361	#397	C₂³	1	4	yes	—
362	#397	C₂³	1	4	yes	—
363	#397	C₂³	1	4	yes	—
364	#397	C₂³	1	4	yes	complemented
365	#397	C₂³	1	4	yes	complemented
366	#397	C₂³	1	4	yes	complemented
367	#397	C₂³	1	4	yes	complemented
368	#397	C₂³	1	4	yes	complemented
369	#397	C₂³	1	4	yes	complemented
370	#397	C₂³	1	4	yes	complemented
371	#396	C₂³	1	4	yes	—
372	#396	C₂³	1	4	yes	complemented
373	#396	C₂³	1	4	yes	complemented
374	#396	C₂³	1	4	yes	complemented
375	#396	C₂³	1	4	yes	complemented
376	#396	C₂³	1	4	yes	complemented
377	#396	C₂³	1	4	yes	complemented
378	#396	C₂³	1	4	yes	complemented
379	#396	C₂³	1	4	yes	complemented
380	#396	C₂³	1	4	yes	complemented
381	#395	C₂³	1	2	yes	complemented
382	#395	C₂³	1	2	yes	complemented
383	#395	C₂³	1	2	yes	complemented
384	#395	C₂³	1	2	yes	complemented
385	#394	C₂³	1	4	yes	—
386	#394	C₂³	1	4	yes	—
387	#394	C₂³	1	4	yes	—
388	#394	C₂³	1	2	yes	—
389	#394	C₂³	1	4	yes	—
390	#394	C₂³	1	4	yes	—
391	#394	C₂³	1	4	yes	—
392	#394	C₂³	1	4	yes	—
393	#394	C₂³	1	4	yes	—
394	#394	C₂³	1	4	yes	—
395	#394	C₂³	1	4	yes	—
396	#394	C₂³	1	4	yes	—
397	#394	C₂³	1	4	yes	—
398	#394	C₂³	1	4	yes	—
399	#394	C₂³	1	2	yes	—
400	#394	C₂³	1	4	yes	—
401	#394	C₂³	1	4	yes	—
402	#394	C₂³	1	4	yes	—
403	#394	C₂³	1	4	yes	complemented
404	#394	C₂³	1	4	yes	complemented
405	#394	C₂³	1	2	yes	complemented
406	#394	C₂³	1	4	yes	complemented
407	#394	C₂³	1	4	yes	complemented
408	#394	C₂³	1	4	yes	complemented
409	#394	C₂³	1	4	yes	complemented
410	#394	C₂³	1	4	yes	complemented
411	#394	C₂³	1	4	yes	complemented
412	#394	C₂³	1	4	yes	complemented
413	#394	C₂³	1	4	yes	complemented
414	#394	C₂³	1	4	yes	complemented
415	#394	C₂³	1	4	yes	complemented
416	#394	C₂³	1	4	yes	complemented
417	#394	C₂³	1	4	yes	complemented
418	#394	C₂³	1	4	yes	complemented
419	#394	C₂³	1	4	yes	complemented
420	#394	C₂³	1	4	yes	complemented
421	#394	C₂³	1	4	yes	complemented
422	#394	C₂³	1	4	yes	complemented
423	#394	C₂³	1	4	yes	complemented
424	#394	C₂³	1	4	yes	complemented
425	#394	C₂³	1	4	yes	complemented
426	#394	C₂³	1	4	yes	complemented
427	#393	C₂³	1	2	yes	complemented
428	#393	C₂³	1	4	yes	complemented
429	#393	C₂³	1	2	yes	complemented
430	#393	C₂³	1	4	yes	complemented
431	#393	C₂³	1	4	yes	complemented
432	#393	C₂³	1	2	yes	complemented
433	#392	C₂³	1	2	yes	—
434	#392	C₂³	1	2	yes	—
435	#392	C₂³	1	4	yes	—
436	#392	C₂³	1	4	yes	—
437	#392	C₂³	1	2	yes	—
438	#392	C₂³	1	2	yes	—
439	#392	C₂³	1	4	yes	—
440	#392	C₂³	1	4	yes	—
441	#392	C₂³	1	2	yes	—
442	#392	C₂³	1	2	yes	—
443	#392	C₂³	1	4	yes	—
444	#392	C₂³	1	4	yes	—
445	#392	C₂³	1	4	yes	—
446	#392	C₂³	1	4	yes	—
447	#392	C₂³	1	4	yes	—
448	#392	C₂³	1	4	yes	—
449	#392	C₂³	1	4	yes	complemented
450	#392	C₂³	1	4	yes	complemented
451	#392	C₂³	1	4	yes	complemented
452	#392	C₂³	1	4	yes	complemented
453	#392	C₂³	1	4	yes	complemented
454	#392	C₂³	1	4	yes	complemented
455	#392	C₂³	1	4	yes	complemented
456	#392	C₂³	1	4	yes	complemented
457	#392	C₂³	1	4	yes	complemented
458	#392	C₂³	1	4	yes	complemented
459	#391	C₂³	1	4	yes	complemented
460	#390	C₂³	1	2	yes	—
461	#390	C₂³	1	4	yes	—
462	#390	C₂³	1	2	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	2	yes	—
468	#390	C₂³	1	2	yes	—
469	#390	C₂³	1	2	yes	—
470	#390	C₂³	1	2	yes	—
471	#390	C₂³	1	4	yes	—
472	#390	C₂³	1	4	yes	complemented
473	#390	C₂³	1	4	yes	complemented
474	#390	C₂³	1	4	yes	complemented
475	#390	C₂³	1	4	yes	complemented
476	#390	C₂³	1	4	yes	complemented
477	#390	C₂³	1	4	yes	complemented
478	#390	C₂³	1	4	yes	complemented
479	#390	C₂³	1	4	yes	complemented
480	#390	C₂³	1	4	yes	complemented
481	#390	C₂³	1	4	yes	complemented
482	#390	C₂³	1	4	yes	complemented
483	#390	C₂³	1	4	yes	complemented
484	#389	C₂³	1	4	yes	complemented
485	#389	C₂³	1	4	yes	complemented
486	#389	C₂³	1	4	yes	complemented
487	#389	C₂³	1	4	yes	complemented
488	#389	C₂³	1	4	yes	complemented
489	#389	C₂³	1	4	yes	complemented
490	#388	C₂³	1	4	yes	—
491	#388	C₂³	1	4	yes	—
492	#388	C₂³	1	4	yes	—
493	#388	C₂³	1	4	yes	—
494	#388	C₂³	1	4	yes	—
495	#388	C₂³	1	4	yes	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	#388	C₂³	1	4	yes	complemented
502	#388	C₂³	1	4	yes	complemented
503	#388	C₂³	1	4	yes	complemented
504	#388	C₂³	1	4	yes	complemented
505	#388	C₂³	1	4	yes	complemented
506	#388	C₂³	1	4	yes	complemented
507	#388	C₂³	1	4	yes	complemented
508	#388	C₂³	1	4	yes	complemented
509	#388	C₂³	1	4	yes	complemented
510	#388	C₂³	1	4	yes	complemented
511	#388	C₂³	1	4	yes	complemented
512	#388	C₂³	1	4	yes	complemented
513	#388	C₂³	1	4	yes	complemented
514	#388	C₂³	1	4	yes	complemented
515	#388	C₂³	1	4	yes	complemented
516	#388	C₂³	1	4	yes	complemented
517	#387	C₂³	1	4	yes	complemented
518	#387	C₂³	1	4	yes	complemented
519	#387	C₂³	1	4	yes	complemented
520	#387	C₂³	1	4	yes	complemented
521	#387	C₂³	1	4	yes	complemented
522	#387	C₂³	1	4	yes	complemented
523	#387	C₂³	1	4	yes	complemented
524	#387	C₂³	1	4	yes	complemented
525	#387	C₂³	1	4	yes	complemented
526	#387	C₂³	1	4	yes	complemented
527	#387	C₂³	1	4	yes	complemented
528	#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	2	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	2	yes	—
539	#386	C₂³	1	4	yes	—
540	#386	C₂³	1	2	yes	—
541	#386	C₂³	1	4	yes	—
542	#386	C₂³	1	4	yes	complemented
543	#386	C₂³	1	4	yes	complemented
544	#386	C₂³	1	4	yes	complemented
545	#386	C₂³	1	4	yes	complemented
546	#386	C₂³	1	4	yes	complemented
547	#386	C₂³	1	4	yes	complemented
548	#386	C₂³	1	4	yes	complemented
549	#386	C₂³	1	4	yes	complemented
550	#386	C₂³	1	4	yes	complemented
551	#386	C₂³	1	4	yes	complemented
552	#386	C₂³	1	4	yes	complemented
553	#386	C₂³	1	4	yes	complemented
554	#386	C₂³	1	4	yes	complemented
555	#386	C₂³	1	4	yes	complemented
556	#386	C₂³	1	4	yes	complemented
557	#386	C₂³	1	4	yes	complemented
558	#386	C₂³	1	4	yes	complemented
559	#386	C₂³	1	4	yes	complemented
560	#386	C₂³	1	4	yes	complemented
561	#386	C₂³	1	4	yes	complemented
562	#386	C₂³	1	4	yes	complemented
563	#386	C₂³	1	4	yes	complemented
564	#385	C₂³	1	4	yes	—
565	#385	C₂³	1	2	yes	—
566	#385	C₂³	1	4	yes	—
567	#385	C₂³	1	2	yes	—
568	#385	C₂³	1	4	yes	—
569	#385	C₂³	1	4	yes	—
570	#385	C₂³	1	4	yes	—
571	#385	C₂³	1	4	yes	—
572	#385	C₂³	1	4	yes	—
573	#385	C₂³	1	4	yes	—
574	#385	C₂³	1	4	yes	complemented
575	#385	C₂³	1	4	yes	complemented
576	#385	C₂³	1	4	yes	complemented
577	#385	C₂³	1	4	yes	complemented
578	#385	C₂³	1	4	yes	complemented
579	#385	C₂³	1	4	yes	complemented
580	#385	C₂³	1	4	yes	complemented
581	#382	C₂³	1	2	yes	complemented
582	#382	C₂³	1	4	yes	complemented
583	#381	C₂³	1	4	yes	complemented
584	#380	C₂³	1	4	yes	—
585	#380	C₂³	1	2	yes	—
586	#380	C₂³	1	4	yes	—
587	#380	C₂³	1	4	yes	—
588	#380	C₂³	1	4	yes	complemented
589	#380	C₂³	1	2	yes	complemented
590	#380	C₂³	1	4	yes	complemented
591	#380	C₂³	1	4	yes	complemented
592	#379	C₂³	1	2	yes	—
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	2	yes	—
595	#379	C₂³	1	4	yes	—
596	#379	C₂³	1	4	yes	—
597	#379	C₂³	1	4	yes	—
598	#379	C₂³	1	4	yes	—
599	#379	C₂³	1	4	yes	—
600	#379	C₂³	1	4	yes	—
601	#379	C₂³	1	4	yes	—
602	#379	C₂³	1	4	yes	—
603	#379	C₂³	1	4	yes	—
604	#379	C₂³	1	4	yes	—
605	#379	C₂³	1	4	yes	—
606	#379	C₂³	1	2	yes	—
607	#379	C₂³	1	4	yes	—
608	#379	C₂³	1	4	yes	—
609	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
610	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
611	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
612	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
615	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
622	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
623	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
624	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
625	#376	C₂³	1	4	yes	complemented
626	C₂×#95	C₂³	1	2	yes	—
627	C₂×#95	C₂³	1	2	yes	complemented
628	C₂⁵	—	4	4	no	—
629	C₂⁵	—	4	8	no	—
630	C₂⁵	—	4	4	no	—
631	C₂⁵	—	4	4	no	—
632	C₂⁵	—	4	8	no	—
633	C₂⁵	C₂⁴	1	1	yes	characteristic
634	C₂⁵	C₂⁴	1	4	yes	—
635	C₂⁵	C₂⁴	1	2	yes	—
636	C₂⁵	C₂⁴	1	1	yes	characteristic
637	C₂⁵	C₂⁴	1	1	yes	characteristic
638	C₂⁵	C₂⁴	1	4	yes	—
639	C₂⁵	C₂⁴	1	2	yes	—
640	C₂×#41	—	4	8	no	—
641	C₂×#41	—	4	4	no	—
642	C₂²×Q₈	C₂⁴	1	2	yes	—
643	C₂²×Q₈	C₂⁴	1	2	yes	—
644	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
645	C₂²×D₄	—	2	8	no	—
646	C₂²×D₄	—	2	16	no	—
647	C₂²×D₄	—	2	8	no	—
648	C₂²×D₄	—	4	4	no	—
649	C₂²×D₄	—	4	8	no	—
650	C₂²×D₄	—	4	8	no	—
651	C₂²×D₄	—	4	8	no	—
652	C₂²×D₄	—	4	8	no	—
653	C₂²×D₄	—	4	8	no	—
654	C₂²×D₄	—	4	4	no	—
655	C₂²×D₄	—	4	4	no	—
656	C₂²×D₄	—	4	2	no	—
657	C₂²×D₄	—	4	2	no	—
658	C₂²×D₄	—	4	2	no	—
659	C₂²×D₄	—	4	8	no	—
660	C₂²×D₄	—	4	8	no	—
661	C₂²×D₄	—	4	8	no	—
662	C₂²×D₄	—	4	8	no	—
663	C₂²×D₄	—	4	8	no	—
664	C₂²×D₄	—	4	4	no	—
665	C₂²×D₄	—	4	4	no	—
666	C₂²×D₄	—	4	8	no	—
667	C₂²×D₄	—	4	8	no	—
668	C₂²×D₄	—	4	64	no	—
669	C₂²×D₄	C₂⁴	1	2	yes	—
670	C₂²×D₄	C₂⁴	1	2	yes	—
671	C₂²×D₄	C₂⁴	1	4	yes	—
672	C₂²×D₄	C₂⁴	1	4	yes	—
673	C₂²×D₄	C₂⁴	1	4	yes	—
674	C₂²×D₄	C₂⁴	1	4	yes	—
675	C₂²×D₄	C₂⁴	1	4	yes	—
676	C₂²×D₄	C₂⁴	1	4	yes	—
677	C₂²×D₄	C₂⁴	1	4	yes	—
678	C₂²×D₄	C₂⁴	1	2	yes	—
679	C₂²×D₄	C₂⁴	1	2	yes	—
680	C₂²×D₄	C₂⁴	1	4	yes	—
681	C₂²×D₄	C₂⁴	1	4	yes	—
682	C₂²×D₄	C₂⁴	1	4	yes	—
683	C₂²×D₄	C₂⁴	1	4	yes	—
684	C₂²×D₄	C₂⁴	1	4	yes	—
685	C₂²×D₄	C₂⁴	1	4	yes	—
686	C₂²×D₄	C₂⁴	1	2	yes	—
687	C₂²×D₄	C₂⁴	1	2	yes	—
688	C₂²×D₄	C₂⁴	1	4	yes	—
689	C₂²×D₄	C₂⁴	1	4	yes	—
690	C₂²×D₄	C₂⁴	1	4	yes	—
691	C₂²×D₄	C₂⁴	1	4	yes	—
692	C₂²×D₄	C₂⁴	1	2	yes	—
693	C₂²×D₄	C₂⁴	1	2	yes	—
694	C₂²×D₄	C₂⁴	1	4	yes	—
695	C₂²×D₄	C₂⁴	1	1	yes	characteristic
696	C₂²×D₄	C₂⁴	1	2	yes	—
697	C₂³×C₄	—	2	4	no	—
698	C₂³×C₄	—	4	4	no	—
699	C₂³×C₄	C₂⁴	1	1	yes	characteristic
700	C₂³×C₄	C₂⁴	1	4	yes	—
701	C₂³×C₄	C₂⁴	1	4	yes	—
702	C₂³×C₄	C₂⁴	1	1	yes	characteristic
703	C₂³×C₄	C₂⁴	1	1	yes	characteristic
704	C₂³×C₄	C₂⁴	1	4	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	4	yes	—
709	C₂³×C₄	C₂⁴	1	4	yes	—
710	C₂³×C₄	C₂⁴	1	4	yes	—
711	C₂³×C₄	C₂⁴	1	2	yes	—
712	C₂³×C₄	C₂⁴	1	2	yes	—
713	C₂³×C₄	C₂⁴	1	1	yes	characteristic
714	#127	—	2	16	no	—
715	#127	—	4	8	no	—
716	#127	—	4	8	no	—
717	#127	—	4	8	no	—
718	#127	—	4	4	no	—
719	#126	—	2	16	no	—
720	#126	—	4	4	no	—
721	#126	—	4	8	no	—
722	#126	—	4	8	no	—
723	#125	—	4	8	no	—
724	#124	—	4	8	no	—
725	#124	—	4	4	no	—
726	#124	—	4	4	no	—
727	#124	—	4	8	no	—
728	#124	—	4	8	no	—
729	#124	—	4	4	no	—
730	#123	—	2	16	no	—
731	#123	—	2	16	no	—
732	#123	—	4	4	no	—
733	#123	—	4	4	no	—
734	#123	—	4	8	no	—
735	#123	—	4	4	no	—
736	#123	—	4	8	no	—
737	#123	—	4	8	no	—
738	#123	—	4	8	no	—
739	#123	—	4	8	no	—
740	#123	—	4	8	no	—
741	#123	—	4	8	no	—
742	C₂²⋊Q₈	—	2	8	no	—
743	C₂²⋊Q₈	—	4	2	no	—
744	C₂²⋊Q₈	—	4	4	no	—
745	C₂²⋊Q₈	—	4	8	no	—
746	C₂²⋊Q₈	—	4	8	no	—
747	C₂²⋊Q₈	—	4	8	no	—
748	C₂²⋊Q₈	—	4	8	no	—
749	C₂²⋊Q₈	—	4	8	no	—
750	#121	—	2	16	no	—
751	#121	—	4	8	no	—
752	#121	—	4	8	no	—
753	#121	—	4	4	no	—
754	#121	—	4	8	no	—
755	#121	—	4	8	no	—
756	#121	—	4	8	no	—
757	#121	—	4	8	no	—
758	#121	—	4	8	no	—
759	#121	—	4	8	no	—
760	#121	—	4	8	no	—
761	#121	—	4	8	no	—
762	#121	—	4	8	no	—
763	#121	—	4	8	no	—
764	#121	—	4	8	no	—
765	#121	—	4	4	no	—
766	#121	—	4	8	no	—
767	#121	—	4	8	no	—
768	#121	—	4	2	no	—
769	#121	—	4	8	no	—
770	#120	—	2	16	no	—
771	#120	—	2	8	no	—
772	#120	—	2	8	no	—
773	#120	—	4	8	no	—
774	#120	—	4	8	no	—
775	#120	—	4	8	no	—
776	#120	—	4	8	no	—
777	#120	—	4	8	no	—
778	#120	—	4	4	no	—
779	#120	—	4	4	no	—
780	#120	—	4	8	no	—
781	#120	—	4	4	no	—
782	#120	—	4	4	no	—
783	#120	—	4	4	no	—
784	#120	—	4	8	no	—
785	#120	—	4	8	no	—
786	#120	—	4	8	no	—
787	#120	—	4	8	no	—
788	#120	—	4	8	no	—
789	C₄×D₄	—	2	8	no	—
790	C₄×D₄	—	4	4	no	—
791	C₄×D₄	—	4	8	no	—
792	C₄×D₄	—	4	8	no	—
793	C₄×D₄	—	4	8	no	—
794	C₄×D₄	—	4	8	no	—
795	C₄×D₄	—	4	8	no	—
796	C₄×D₄	—	4	8	no	—
797	C₄×D₄	—	4	8	no	—
798	C₄×D₄	—	4	8	no	—
799	#117	—	4	8	no	—
800	#117	—	4	8	no	—
801	C₂×C₄⋊C₄	—	4	2	no	—
802	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
805	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
807	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
814	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
815	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
817	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
824	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
829	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
830	C₂×C₂²⋊C₄	—	2	4	no	—
831	C₂×C₂²⋊C₄	—	2	4	no	—
832	C₂×C₂²⋊C₄	—	2	8	no	—
833	C₂×C₂²⋊C₄	—	4	8	no	—
834	C₂×C₂²⋊C₄	—	4	8	no	—
835	C₂×C₂²⋊C₄	—	4	8	no	—
836	C₂×C₂²⋊C₄	—	4	4	no	—
837	C₂×C₂²⋊C₄	—	4	8	no	—
838	C₂×C₂²⋊C₄	—	4	4	no	—
839	C₂×C₂²⋊C₄	—	4	8	no	—
840	C₂×C₂²⋊C₄	—	4	8	no	—
841	C₂×C₂²⋊C₄	—	4	8	no	—
842	C₂×C₂²⋊C₄	—	4	8	no	—
843	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	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	4	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	4	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	4	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×C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
894	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
895	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
898	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
899	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
901	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
902	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
903	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
904	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
905	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
906	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
907	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
908	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
909	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
910	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
911	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
912	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
913	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
914	C₂×C₄²	—	4	4	no	—
915	C₂×C₄²	C₂⁴	1	4	yes	—
916	C₂×C₄²	C₂⁴	1	4	yes	—
917	C₂×C₄²	C₂⁴	1	2	yes	—
918	C₂×C₄²	C₂⁴	1	2	yes	—
919	C₂×C₄²	C₂⁴	1	4	yes	—
920	C₂×C₄²	C₂⁴	1	4	yes	—
921	C₂×C₄²	C₂⁴	1	4	yes	—
922	C₂×C₄²	C₂⁴	1	4	yes	—
923	C₂×C₄²	C₂⁴	1	2	yes	—
924	C₂×C₄²	C₂⁴	1	2	yes	—
925	C₂×C₄²	C₂⁴	1	2	yes	—
926	#95	C₂⁴	1	2	yes	—
927	#95	C₂⁴	1	2	yes	—
928	#95	C₂⁴	1	4	yes	—
929	#95	C₂⁴	1	2	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	2	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	2	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	#95	C₂⁴	1	4	yes	—
941	#95	C₂⁴	1	2	yes	—
942	#95	C₂⁴	1	2	yes	—
943	#95	C₂⁴	1	4	yes	—
944	#95	C₂⁴	1	4	yes	—
945	#95	C₂⁴	1	4	yes	—
946	#95	C₂⁴	1	4	yes	—
947	#95	C₂⁴	1	2	yes	—
948	#95	C₂⁴	1	4	yes	—
949	#95	C₂⁴	1	4	yes	—
950	#95	C₂⁴	1	4	yes	—
951	#95	C₂⁴	1	4	yes	—
952	#95	C₂⁴	1	4	yes	—
953	#95	C₂⁴	1	4	yes	—
954	#95	C₂⁴	1	4	yes	—
955	#95	C₂⁴	1	4	yes	—
956	#95	C₂⁴	1	4	yes	—
957	#95	C₂⁴	1	4	yes	—
958	C₂⁴	—	2	4	no	—
959	C₂⁴	—	2	2	no	—
960	C₂⁴	—	2	8	no	—
961	C₂⁴	—	2	4	no	—
962	C₂⁴	—	2	4	no	—
963	C₂⁴	—	2	8	no	—
964	C₂⁴	—	2	8	no	—
965	C₂⁴	—	2	8	no	—
966	C₂⁴	—	2	8	no	—
967	C₂⁴	—	2	8	no	—
968	C₂⁴	—	2	2	no	—
969	C₂⁴	—	2	2	no	—
970	C₂⁴	—	2	8	no	—
971	C₂⁴	—	2	4	no	—
972	C₂⁴	—	2	4	no	—
973	C₂⁴	—	2	4	no	—
974	C₂⁴	—	4	2	no	—
975	C₂⁴	—	4	4	no	—
976	C₂⁴	—	4	4	no	—
977	C₂⁴	—	4	4	no	—
978	C₂⁴	—	4	4	no	—
979	C₂⁴	—	4	4	no	—
980	C₂⁴	—	4	2	no	—
981	C₂⁴	—	4	4	no	—
982	C₂⁴	—	4	2	no	—
983	C₂⁴	—	4	4	no	—
984	C₂⁴	—	4	4	no	—
985	C₂⁴	—	4	4	no	—
986	C₂⁴	—	4	2	no	—
987	C₂⁴	—	4	2	no	—
988	C₂⁴	—	4	2	no	—
989	C₂⁴	—	4	2	no	—
990	C₂⁴	—	4	2	no	—
991	C₂⁴	—	4	2	no	—
992	C₂⁴	—	4	4	no	—
993	C₂⁴	—	4	4	no	—
994	C₂⁴	—	4	32	no	—
995	C₂⁴	—	8	16	no	—
996	C₂⁴	—	8	32	no	—
997	C₂⁴	—	8	32	no	—
998	C₂⁴	—	8	16	no	—
999	C₂⁴	C₂⁵	1	4	yes	—
1000	C₂⁴	C₂⁵	1	2	yes	—
1001	C₂⁴	C₂⁵	1	2	yes	—
1002	C₂⁴	C₂⁵	1	2	yes	—
1003	C₂⁴	C₂⁵	1	2	yes	—
1004	C₂⁴	C₂⁵	1	4	yes	—
1005	C₂⁴	C₂⁵	1	1	yes	characteristic
1006	#41	—	8	16	no	—
1007	C₂×Q₈	—	2	4	no	—
1008	C₂×Q₈	—	4	4	no	—
1009	C₂×Q₈	—	4	2	no	—
1010	C₂×Q₈	—	4	2	no	—
1011	C₂×Q₈	—	4	1	no	—
1012	C₂×Q₈	—	4	4	no	—
1013	C₂×D₄	—	2	8	no	—
1014	C₂×D₄	—	2	4	no	—
1015	C₂×D₄	—	2	8	no	—
1016	C₂×D₄	—	2	8	no	—
1017	C₂×D₄	—	2	8	no	—
1018	C₂×D₄	—	2	8	no	—
1019	C₂×D₄	—	2	4	no	—
1020	C₂×D₄	—	2	4	no	—
1021	C₂×D₄	—	2	8	no	—
1022	C₂×D₄	—	2	4	no	—
1023	C₂×D₄	—	2	4	no	—
1024	C₂×D₄	—	2	8	no	—
1025	C₂×D₄	—	2	8	no	—
1026	C₂×D₄	—	2	8	no	—
1027	C₂×D₄	—	2	8	no	—
1028	C₂×D₄	—	2	8	no	—
1029	C₂×D₄	—	2	4	no	—
1030	C₂×D₄	—	2	8	no	—
1031	C₂×D₄	—	2	8	no	—
1032	C₂×D₄	—	2	8	no	—
1033	C₂×D₄	—	2	8	no	—
1034	C₂×D₄	—	2	4	no	—
1035	C₂×D₄	—	2	4	no	—
1036	C₂×D₄	—	2	8	no	—
1037	C₂×D₄	—	2	8	no	—
1038	C₂×D₄	—	2	8	no	—
1039	C₂×D₄	—	4	2	no	—
1040	C₂×D₄	—	4	2	no	—
1041	C₂×D₄	—	4	4	no	—
1042	C₂×D₄	—	4	4	no	—
1043	C₂×D₄	—	4	2	no	—
1044	C₂×D₄	—	4	4	no	—
1045	C₂×D₄	—	4	2	no	—
1046	C₂×D₄	—	4	4	no	—
1047	C₂×D₄	—	4	4	no	—
1048	C₂×D₄	—	4	32	no	—
1049	C₂×D₄	—	4	4	no	—
1050	C₂×D₄	—	4	4	no	—
1051	C₂×D₄	—	4	4	no	—
1052	C₂×D₄	—	4	2	no	—
1053	C₂×D₄	—	4	2	no	—
1054	C₂×D₄	—	4	4	no	—
1055	C₂×D₄	—	4	4	no	—
1056	C₂×D₄	—	4	4	no	—
1057	C₂×D₄	—	4	4	no	—
1058	C₂×D₄	—	4	4	no	—
1059	C₂×D₄	—	4	4	no	—
1060	C₂×D₄	—	4	4	no	—
1061	C₂×D₄	—	4	4	no	—
1062	C₂×D₄	—	4	4	no	—
1063	C₂×D₄	—	4	2	no	—
1064	C₂×D₄	—	4	2	no	—
1065	C₂×D₄	—	4	4	no	—
1066	C₂×D₄	—	4	4	no	—
1067	C₂×D₄	—	4	4	no	—
1068	C₂×D₄	—	4	4	no	—
1069	C₂×D₄	—	4	4	no	—
1070	C₂×D₄	—	4	4	no	—
1071	C₂×D₄	—	4	4	no	—
1072	C₂×D₄	—	4	4	no	—
1073	C₂×D₄	—	4	4	no	—
1074	C₂×D₄	—	4	4	no	—
1075	C₂×D₄	—	4	4	no	—
1076	C₂×D₄	—	4	4	no	—
1077	C₂×D₄	—	4	4	no	—
1078	C₂×D₄	—	4	4	no	—
1079	C₂×D₄	—	4	4	no	—
1080	C₂×D₄	—	4	4	no	—
1081	C₂×D₄	—	4	2	no	—
1082	C₂×D₄	—	4	2	no	—
1083	C₂×D₄	—	4	4	no	—
1084	C₂×D₄	—	4	4	no	—
1085	C₂×D₄	—	4	4	no	—
1086	C₂×D₄	—	4	4	no	—
1087	C₂×D₄	—	4	1	no	—
1088	C₂×D₄	—	4	4	no	—
1089	C₂×D₄	—	4	4	no	—
1090	C₂×D₄	—	4	2	no	—
1091	C₂×D₄	—	4	4	no	—
1092	C₂×D₄	—	4	32	no	—
1093	C₂×D₄	—	4	64	no	—
1094	C₂×D₄	—	4	64	no	—
1095	C₂×D₄	—	8	8	no	—
1096	C₂×D₄	—	8	32	no	—
1097	C₂×D₄	—	8	32	no	—
1098	C₂×D₄	—	8	8	no	—
1099	C₂×D₄	—	8	8	no	—
1100	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	4	no	—
1103	C₂²×C₄	—	2	8	no	—
1104	C₂²×C₄	—	2	2	no	—
1105	C₂²×C₄	—	2	2	no	—
1106	C₂²×C₄	—	2	8	no	—
1107	C₂²×C₄	—	2	8	no	—
1108	C₂²×C₄	—	2	8	no	—
1109	C₂²×C₄	—	2	8	no	—
1110	C₂²×C₄	—	2	8	no	—
1111	C₂²×C₄	—	2	4	no	—
1112	C₂²×C₄	—	2	8	no	—
1113	C₂²×C₄	—	4	4	no	—
1114	C₂²×C₄	—	4	4	no	—
1115	C₂²×C₄	—	4	2	no	—
1116	C₂²×C₄	—	4	2	no	—
1117	C₂²×C₄	—	4	2	no	—
1118	C₂²×C₄	—	4	4	no	—
1119	C₂²×C₄	—	4	4	no	—
1120	C₂²×C₄	—	4	4	no	—
1121	C₂²×C₄	—	4	4	no	—
1122	C₂²×C₄	—	4	4	no	—
1123	C₂²×C₄	—	4	4	no	—
1124	C₂²×C₄	—	4	4	no	—
1125	C₂²×C₄	—	4	4	no	—
1126	C₂²×C₄	—	4	4	no	—
1127	C₂²×C₄	—	4	4	no	—
1128	C₂²×C₄	—	4	4	no	—
1129	C₂²×C₄	—	4	4	no	—
1130	C₂²×C₄	—	4	2	no	—
1131	C₂²×C₄	—	4	2	no	—
1132	C₂²×C₄	—	4	4	no	—
1133	C₂²×C₄	—	4	4	no	—
1134	C₂²×C₄	—	4	2	no	—
1135	C₂²×C₄	—	4	4	no	—
1136	C₂²×C₄	—	4	4	no	—
1137	C₂²×C₄	—	4	4	no	—
1138	C₂²×C₄	—	4	2	no	—
1139	C₂²×C₄	—	4	16	no	—
1140	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1141	C₂²×C₄	C₂⁵	1	4	yes	—
1142	C₂²×C₄	C₂⁵	1	4	yes	—
1143	C₂²×C₄	C₂⁵	1	2	yes	—
1144	C₂²×C₄	C₂⁵	1	4	yes	—
1145	C₂²×C₄	C₂⁵	1	4	yes	—
1146	C₂²×C₄	C₂⁵	1	4	yes	—
1147	C₂²×C₄	C₂⁵	1	2	yes	—
1148	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁵	1	2	yes	—
1151	C₂²×C₄	C₂⁵	1	4	yes	—
1152	C₂²×C₄	C₂⁵	1	4	yes	—
1153	C₂²×C₄	C₂⁵	1	2	yes	—
1154	C₂²×C₄	C₂⁵	1	2	yes	—
1155	C₂²×C₄	C₂⁵	1	2	yes	—
1156	C₂²×C₄	C₂⁵	1	4	yes	—
1157	C₄⋊C₄	—	2	8	no	—
1158	C₄⋊C₄	—	2	8	no	—
1159	C₄⋊C₄	—	2	4	no	—
1160	C₄⋊C₄	—	2	4	no	—
1161	C₄⋊C₄	—	2	8	no	—
1162	C₄⋊C₄	—	2	8	no	—
1163	C₄⋊C₄	—	2	8	no	—
1164	C₄⋊C₄	—	2	8	no	—
1165	C₄⋊C₄	—	2	8	no	—
1166	C₄⋊C₄	—	2	8	no	—
1167	C₄⋊C₄	—	2	8	no	—
1168	C₄⋊C₄	—	4	2	no	—
1169	C₄⋊C₄	—	4	2	no	—
1170	C₄⋊C₄	—	4	4	no	—
1171	C₄⋊C₄	—	4	4	no	—
1172	C₄⋊C₄	—	4	4	no	—
1173	C₄⋊C₄	—	4	4	no	—
1174	C₄⋊C₄	—	4	4	no	—
1175	C₄⋊C₄	—	4	4	no	—
1176	C₄⋊C₄	—	4	2	no	—
1177	C₄⋊C₄	—	4	4	no	—
1178	C₄⋊C₄	—	4	4	no	—
1179	C₄⋊C₄	—	4	4	no	—
1180	C₄⋊C₄	—	4	4	no	—
1181	C₄⋊C₄	—	4	1	no	—
1182	C₄⋊C₄	—	4	4	no	—
1183	C₄⋊C₄	—	4	2	no	—
1184	C₄⋊C₄	—	4	1	no	—
1185	C₂²⋊C₄	—	2	4	no	—
1186	C₂²⋊C₄	—	2	4	no	—
1187	C₂²⋊C₄	—	2	8	no	—
1188	C₂²⋊C₄	—	2	8	no	—
1189	C₂²⋊C₄	—	2	8	no	—
1190	C₂²⋊C₄	—	2	8	no	—
1191	C₂²⋊C₄	—	2	8	no	—
1192	C₂²⋊C₄	—	2	8	no	—
1193	C₂²⋊C₄	—	2	8	no	—
1194	C₂²⋊C₄	—	2	8	no	—
1195	C₂²⋊C₄	—	2	4	no	—
1196	C₂²⋊C₄	—	2	8	no	—
1197	C₂²⋊C₄	—	2	4	no	—
1198	C₂²⋊C₄	—	2	8	no	—
1199	C₂²⋊C₄	—	2	4	no	—
1200	C₂²⋊C₄	—	2	8	no	—
1201	C₂²⋊C₄	—	2	4	no	—
1202	C₂²⋊C₄	—	2	8	no	—
1203	C₂²⋊C₄	—	2	8	no	—
1204	C₂²⋊C₄	—	2	8	no	—
1205	C₂²⋊C₄	—	2	8	no	—
1206	C₂²⋊C₄	—	2	8	no	—
1207	C₂²⋊C₄	—	2	4	no	—
1208	C₂²⋊C₄	—	2	8	no	—
1209	C₂²⋊C₄	—	4	4	no	—
1210	C₂²⋊C₄	—	4	4	no	—
1211	C₂²⋊C₄	—	4	4	no	—
1212	C₂²⋊C₄	—	4	4	no	—
1213	C₂²⋊C₄	—	4	4	no	—
1214	C₂²⋊C₄	—	4	4	no	—
1215	C₂²⋊C₄	—	4	4	no	—
1216	C₂²⋊C₄	—	4	4	no	—
1217	C₂²⋊C₄	—	4	4	no	—
1218	C₂²⋊C₄	—	4	4	no	—
1219	C₂²⋊C₄	—	4	4	no	—
1220	C₂²⋊C₄	—	4	4	no	—
1221	C₂²⋊C₄	—	4	4	no	—
1222	C₂²⋊C₄	—	4	4	no	—
1223	C₂²⋊C₄	—	4	4	no	—
1224	C₂²⋊C₄	—	4	4	no	—
1225	C₂²⋊C₄	—	4	4	no	—
1226	C₂²⋊C₄	—	4	4	no	—
1227	C₂²⋊C₄	—	4	4	no	—
1228	C₂²⋊C₄	—	4	4	no	—
1229	C₂²⋊C₄	—	4	4	no	—
1230	C₂²⋊C₄	—	4	4	no	—
1231	C₂²⋊C₄	—	4	4	no	—
1232	C₂²⋊C₄	—	4	4	no	—
1233	C₂²⋊C₄	—	4	4	no	—
1234	C₂²⋊C₄	—	4	4	no	—
1235	C₂²⋊C₄	—	4	4	no	—
1236	C₂²⋊C₄	—	4	4	no	—
1237	C₂²⋊C₄	—	4	4	no	—
1238	C₂²⋊C₄	—	4	4	no	—
1239	C₂²⋊C₄	—	4	4	no	—
1240	C₂²⋊C₄	—	4	4	no	—
1241	C₂²⋊C₄	—	4	4	no	—
1242	C₂²⋊C₄	—	4	4	no	—
1243	C₂²⋊C₄	—	4	4	no	—
1244	C₂²⋊C₄	—	4	4	no	—
1245	C₂²⋊C₄	—	4	4	no	—
1246	C₂²⋊C₄	—	4	2	no	—
1247	C₂²⋊C₄	—	4	4	no	—
1248	C₂²⋊C₄	—	4	2	no	—
1249	C₂²⋊C₄	—	4	2	no	—
1250	C₂²⋊C₄	—	4	4	no	—
1251	C₂²⋊C₄	—	4	4	no	—
1252	C₂²⋊C₄	—	4	2	no	—
1253	C₂²⋊C₄	—	4	4	no	—
1254	C₂²⋊C₄	—	4	2	no	—
1255	C₂²⋊C₄	H(5,𝔽₂)	1	8	yes	—
1256	C₄²	—	2	8	no	—
1257	C₄²	—	2	8	no	—
1258	C₄²	—	2	4	no	—
1259	C₄²	—	4	2	no	—
1260	C₄²	—	4	2	no	—
1261	C₄²	—	4	2	no	—
1262	C₄²	—	4	4	no	—
1263	C₄²	—	4	4	no	—
1264	C₄²	—	4	4	no	—
1265	C₄²	—	4	4	no	—
1266	C₄²	—	4	2	no	—
1267	C₂³	—	2	2	no	—
1268	C₂³	—	2	2	no	—
1269	C₂³	—	2	8	no	—
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	4	no	—
1272	C₂³	—	2	4	no	—
1273	C₂³	—	2	4	no	—
1274	C₂³	—	2	4	no	—
1275	C₂³	—	2	4	no	—
1276	C₂³	—	2	2	no	—
1277	C₂³	—	2	4	no	—
1278	C₂³	—	2	4	no	—
1279	C₂³	—	2	4	no	—
1280	C₂³	—	2	2	no	—
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	4	no	—
1283	C₂³	—	2	4	no	—
1284	C₂³	—	2	2	no	—
1285	C₂³	—	2	4	no	—
1286	C₂³	—	2	4	no	—
1287	C₂³	—	2	2	no	—
1288	C₂³	—	2	4	no	—
1289	C₂³	—	2	4	no	—
1290	C₂³	—	2	4	no	—
1291	C₂³	—	2	4	no	—
1292	C₂³	—	2	4	no	—
1293	C₂³	—	2	2	no	—
1294	C₂³	—	2	4	no	—
1295	C₂³	—	2	2	no	—
1296	C₂³	—	2	2	no	—
1297	C₂³	—	2	4	no	—
1298	C₂³	—	2	4	no	—
1299	C₂³	—	2	4	no	—
1300	C₂³	—	2	2	no	—
1301	C₂³	—	2	2	no	—
1302	C₂³	—	4	16	no	—
1303	C₂³	—	4	16	no	—
1304	C₂³	—	4	8	no	—
1305	C₂³	—	4	16	no	—
1306	C₂³	—	4	16	no	—
1307	C₂³	—	4	16	no	—
1308	C₂³	—	4	16	no	—
1309	C₂³	—	4	4	no	—
1310	C₂³	—	4	16	no	—
1311	C₂³	—	4	4	no	—
1312	C₂³	—	4	8	no	—
1313	C₂³	—	4	16	no	—
1314	C₂³	—	4	4	no	—
1315	C₂³	—	4	4	no	—
1316	C₂³	—	8	8	no	—
1317	C₂³	—	8	8	no	—
1318	C₂³	—	8	8	no	—
1319	C₂³	—	8	8	no	—
1320	C₂³	—	8	8	no	—
1321	C₂³	—	8	8	no	—
1322	C₂³	—	8	8	no	—
1323	C₂³	—	8	4	no	—
1324	C₂³	—	8	8	no	—
1325	C₂³	—	8	4	no	—
1326	C₂³	—	8	8	no	—
1327	C₂³	—	8	8	no	—
1328	C₂³	—	8	2	no	—
1329	C₂³	—	8	2	no	—
1330	C₂³	—	8	2	no	—
1331	C₂³	—	8	2	no	—
1332	C₂³	—	8	4	no	—
1333	C₂³	—	8	8	no	—
1334	C₂³	—	8	4	no	—
1335	C₂³	—	8	8	no	—
1336	C₂³	—	8	8	no	—
1337	C₂³	—	8	128	no	—
1338	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1339	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1340	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1341	C₂³	#585	1	4	yes	—
1342	C₂³	C₂⁶	1	1	yes	characteristic
1343	Q₈	—	8	4	no	—
1344	Q₈	—	16	2	no	—
1345	Q₈	—	16	1	no	—
1346	D₄	—	2	16	no	—
1347	D₄	—	4	8	no	—
1348	D₄	—	4	16	no	—
1349	D₄	—	4	16	no	—
1350	D₄	—	4	16	no	—
1351	D₄	—	4	16	no	—
1352	D₄	—	4	8	no	—
1353	D₄	—	4	8	no	—
1354	D₄	—	4	8	no	—
1355	D₄	—	8	8	no	—
1356	D₄	—	8	8	no	—
1357	D₄	—	8	8	no	—
1358	D₄	—	8	8	no	—
1359	D₄	—	8	8	no	—
1360	D₄	—	8	8	no	—
1361	D₄	—	8	8	no	—
1362	D₄	—	8	4	no	—
1363	D₄	—	8	4	no	—
1364	D₄	—	8	8	no	—
1365	D₄	—	8	8	no	—
1366	D₄	—	8	8	no	—
1367	D₄	—	8	8	no	—
1368	D₄	—	16	4	no	—
1369	D₄	—	16	4	no	—
1370	D₄	—	16	2	no	—
1371	D₄	—	16	1	no	—
1372	D₄	—	16	2	no	—
1373	D₄	—	16	4	no	—
1374	C₂×C₄	—	2	8	no	—
1375	C₂×C₄	—	2	4	no	—
1376	C₂×C₄	—	2	2	no	—
1377	C₂×C₄	—	2	4	no	—
1378	C₂×C₄	—	2	2	no	—
1379	C₂×C₄	—	2	4	no	—
1380	C₂×C₄	—	2	4	no	—
1381	C₂×C₄	—	2	4	no	—
1382	C₂×C₄	—	2	2	no	—
1383	C₂×C₄	—	2	4	no	—
1384	C₂×C₄	—	2	2	no	—
1385	C₂×C₄	—	2	4	no	—
1386	C₂×C₄	—	2	4	no	—
1387	C₂×C₄	—	2	4	no	—
1388	C₂×C₄	—	2	2	no	—
1389	C₂×C₄	—	2	2	no	—
1390	C₂×C₄	—	2	4	no	—
1391	C₂×C₄	—	2	4	no	—
1392	C₂×C₄	—	2	4	no	—
1393	C₂×C₄	—	2	4	no	—
1394	C₂×C₄	—	2	4	no	—
1395	C₂×C₄	—	2	4	no	—
1396	C₂×C₄	—	2	4	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	2	no	—
1400	C₂×C₄	—	2	4	no	—
1401	C₂×C₄	—	2	4	no	—
1402	C₂×C₄	—	2	2	no	—
1403	C₂×C₄	—	2	4	no	—
1404	C₂×C₄	—	2	4	no	—
1405	C₂×C₄	—	2	4	no	—
1406	C₂×C₄	—	2	4	no	—
1407	C₂×C₄	—	2	2	no	—
1408	C₂×C₄	—	2	4	no	—
1409	C₂×C₄	—	2	4	no	—
1410	C₂×C₄	—	2	4	no	—
1411	C₂×C₄	—	2	4	no	—
1412	C₂×C₄	—	2	2	no	—
1413	C₂×C₄	—	2	4	no	—
1414	C₂×C₄	—	4	4	no	—
1415	C₂×C₄	—	4	16	no	—
1416	C₂×C₄	—	4	16	no	—
1417	C₂×C₄	—	8	8	no	—
1418	C₂×C₄	—	8	4	no	—
1419	C₂×C₄	—	8	8	no	—
1420	C₂×C₄	—	8	2	no	—
1421	C₂×C₄	—	8	2	no	—
1422	C₂×C₄	—	8	8	no	—
1423	C₂×C₄	—	16	4	no	—
1424	C₂×C₄	—	16	4	no	—
1425	C₂×C₄	—	16	2	no	—
1426	C₂×C₄	—	16	4	no	—
1427	C₂×C₄	—	16	2	no	—
1428	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1429	C₂×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1430	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1431	C₂²	—	2	8	no	—
1432	C₂²	—	2	2	no	—
1433	C₂²	—	2	2	no	—
1434	C₂²	—	2	8	no	—
1435	C₂²	—	2	8	no	—
1436	C₂²	—	2	8	no	—
1437	C₂²	—	2	8	no	—
1438	C₂²	—	2	4	no	—
1439	C₂²	—	4	16	no	—
1440	C₂²	—	4	4	no	—
1441	C₂²	—	4	2	no	—
1442	C₂²	—	4	4	no	—
1443	C₂²	—	4	4	no	—
1444	C₂²	—	4	4	no	—
1445	C₂²	—	4	2	no	—
1446	C₂²	—	4	4	no	—
1447	C₂²	—	4	2	no	—
1448	C₂²	—	4	2	no	—
1449	C₂²	—	4	2	no	—
1450	C₂²	—	4	4	no	—
1451	C₂²	—	4	4	no	—
1452	C₂²	—	4	4	no	—
1453	C₂²	—	4	4	no	—
1454	C₂²	—	4	4	no	—
1455	C₂²	—	4	4	no	—
1456	C₂²	—	4	4	no	—
1457	C₂²	—	4	4	no	—
1458	C₂²	—	4	4	no	—
1459	C₂²	—	4	4	no	—
1460	C₂²	—	4	4	no	—
1461	C₂²	—	4	2	no	—
1462	C₂²	—	4	2	no	—
1463	C₂²	—	4	4	no	—
1464	C₂²	—	4	2	no	—
1465	C₂²	—	4	2	no	—
1466	C₂²	—	4	2	no	—
1467	C₂²	—	4	2	no	—
1468	C₂²	—	4	4	no	—
1469	C₂²	—	8	32	no	—
1470	C₂²	—	8	16	no	—
1471	C₂²	—	8	32	no	—
1472	C₂²	—	8	16	no	—
1473	C₂²	—	16	4	no	—
1474	C₂²	—	16	4	no	—
1475	C₂²	#3551	1	4	yes	—
1476	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1477	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1478	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1479	C₂²	C₂×#585	1	2	yes	—
1480	C₄	—	2	8	no	—
1481	C₄	—	2	4	no	—
1482	C₄	—	2	4	no	—
1483	C₄	—	4	2	no	—
1484	C₄	—	4	4	no	—
1485	C₄	—	4	4	no	—
1486	C₄	—	4	4	no	—
1487	C₄	—	4	4	no	—
1488	C₄	—	4	4	no	—
1489	C₄	—	4	2	no	—
1490	C₄	—	4	4	no	—
1491	C₄	—	4	1	no	—
1492	C₄	—	4	2	no	—
1493	C₄	—	4	1	no	—
1494	C₄	—	4	2	no	—
1495	C₄	—	4	4	no	—
1496	C₂	—	2	4	no	—
1497	C₂	—	4	4	no	—
1498	C₂	—	4	8	no	—
1499	C₂	—	8	2	no	—
1500	C₂	—	8	4	no	—
1501	C₂	—	8	2	no	—
1502	C₂	—	8	2	no	—
1503	C₂	C₂×#3551	1	1	yes	characteristic
1504	C₂	#62817	1	1	yes	characteristic
1505	C₂	#62832	1	1	yes	characteristic
1506	C₂	#63012	1	4	yes	—

	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. #59947	C₂	semidirect
2. #59006	C₂	semidirect
3. #56299	C₂	semidirect
4. #55419	C₂	semidirect
5. #49969	C₂	semidirect
6. #49559	C₂	semidirect
7. #49264	C₂	semidirect
8. #47871	C₂	semidirect
9. #46199	C₂	semidirect
10. #45438	C₂	semidirect
11. #44138	C₂	semidirect
12. #43964	C₂	semidirect
13. #43926	C₂	semidirect
14. #43002	C₂	semidirect
15. #40488	C₂	semidirect
16. #37694	C₂	semidirect
17. #37660	C₂	semidirect
18. #36718	C₂	semidirect
19. #36338	C₂	semidirect
20. #36152	C₂	semidirect
21. #35695	C₂	semidirect
22. #35395	C₂	semidirect
23. C₂×#2433	C₂	semidirect
25. C₂×#560	C₂²	semidirect
26. C₂×#551	C₂²	semidirect
28. C₂×#546	C₂²	semidirect
29. C₂×#543	C₂²	semidirect
30. C₂×#540	C₂²	semidirect
31. C₂×#538	C₂²	semidirect
32. C₂×#538	C₂²	semidirect
37. #2851	C₂²	semidirect
40. #2830	C₂²	semidirect
41. #2830	C₂²	semidirect
42. #2819	C₂²	semidirect
43. #2813	C₂²	semidirect
44. #2812	C₂²	semidirect
45. #2803	C₂²	semidirect
46. #2803	C₂²	semidirect
47. #2784	C₂²	semidirect
48. #2753	C₂²	semidirect
49. #2730	C₂²	semidirect
50. #2727	C₂²	semidirect
51. #2724	C₂²	semidirect
52. #2723	C₂²	semidirect
53. #2723	C₂²	semidirect
54. #2714	C₂²	semidirect
55. #2709	C₂²	semidirect
56. #2709	C₂²	semidirect
57. #2709	C₂²	semidirect
58. #2709	C₂²	semidirect
59. #2707	C₂²	semidirect
60. #2707	C₂²	semidirect
61. #2705	C₂²	semidirect
62. #2703	C₂²	semidirect
63. #2699	C₂²	semidirect
64. #2697	C₂²	semidirect
65. #2697	C₂²	semidirect
66. #2697	C₂²	semidirect
67. #2696	C₂²	semidirect
68. #2685	C₂²	semidirect
69. #2685	C₂²	semidirect
70. #2685	C₂²	semidirect
71. #2685	C₂²	semidirect
72. #2684	C₂²	semidirect
73. #2684	C₂²	semidirect
74. #2683	C₂²	semidirect
75. #2682	C₂²	semidirect
76. #2681	C₂²	semidirect
77. #2681	C₂²	semidirect
78. #2678	C₂²	semidirect
79. #2678	C₂²	semidirect
80. #2678	C₂²	semidirect
81. #2678	C₂²	semidirect
82. #2676	C₂²	semidirect
83. #2676	C₂²	semidirect
84. #2676	C₂²	semidirect
85. #2675	C₂²	semidirect
86. #2673	C₂²	semidirect
87. #2673	C₂²	semidirect
88. #2673	C₂²	semidirect
89. #2673	C₂²	semidirect
90. #2672	C₂²	semidirect
91. #2672	C₂²	semidirect
92. #2670	C₂²	semidirect
93. #2669	C₂²	semidirect
94. #2669	C₂²	semidirect
95. #2668	C₂²	semidirect
96. #2668	C₂²	semidirect
97. #2662	C₂²	semidirect
98. #2656	C₂²	semidirect
99. #2648	C₂²	semidirect
100. #2641	C₂²	semidirect
101. #2636	C₂²	semidirect
102. #2626	C₂²	semidirect
103. #2622	C₂²	semidirect
104. #2619	C₂²	semidirect
105. #2617	C₂²	semidirect
106. #2615	C₂²	semidirect
107. #2610	C₂²	semidirect
108. #2602	C₂²	semidirect
109. #2593	C₂²	semidirect
110. #2591	C₂²	semidirect
111. #2583	C₂²	semidirect
112. #2583	C₂²	semidirect
113. #2569	C₂²	semidirect
114. #2564	C₂²	semidirect
115. #2559	C₂²	semidirect
116. #2557	C₂²	semidirect
117. #2556	C₂²	semidirect
118. #2555	C₂²	semidirect
119. #2555	C₂²	semidirect
120. #2554	C₂²	semidirect
121. #2554	C₂²	semidirect
122. #2553	C₂²	semidirect
123. #2543	C₂²	semidirect
124. #2540	C₂²	semidirect
125. #2540	C₂²	semidirect
126. #2534	C₂²	semidirect
127. #2530	C₂²	semidirect
128. #2526	C₂²	semidirect
129. #2517	C₂²	semidirect
131. #2480	C₂²	semidirect
132. #2480	C₂²	semidirect
133. #2477	C₂²	semidirect
134. #2476	C₂²	semidirect
135. #2472	C₂²	semidirect
136. #2472	C₂²	semidirect
137. #2472	C₂²	semidirect
138. #2471	C₂²	semidirect
139. #2467	C₂²	semidirect
140. #2464	C₂²	semidirect
141. #2463	C₂²	semidirect
142. #2461	C₂²	semidirect
143. #2460	C₂²	semidirect
144. #2459	C₂²	semidirect
145. #2457	C₂²	semidirect
146. #2456	C₂²	semidirect
147. #2445	C₂²	semidirect
148. #2445	C₂²	semidirect
149. #2437	C₂²	semidirect
150. #2437	C₂²	semidirect
154. #2435	C₂²	semidirect
160. #2430	C₂²	semidirect
161. #2428	C₂²	semidirect
162. #2428	C₂²	semidirect
163. #2428	C₂²	semidirect
164. #2424	C₂²	semidirect
165. #2424	C₂²	semidirect
166. #2424	C₂²	semidirect
168. #2418	C₂²	semidirect
169. #2418	C₂²	semidirect
170. #2414	C₂²	semidirect
171. #2412	C₂²	semidirect
172. #2411	C₂²	semidirect
175. #2410	C₂²	semidirect
176. #2410	C₂²	semidirect
177. #2410	C₂²	semidirect
178. #2410	C₂²	semidirect
179. #2410	C₂²	semidirect
181. #2408	C₂²	semidirect
182. #2408	C₂²	semidirect
183. #2408	C₂²	semidirect
184. #2407	C₂²	semidirect
187. #2405	C₂²	semidirect
188. #2405	C₂²	semidirect
189. #2405	C₂²	semidirect
190. #2405	C₂²	semidirect
191. #2405	C₂²	semidirect
192. #2392	C₂²	semidirect
195. #2376	C₂²	semidirect
196. #2375	C₂²	semidirect
197. #2373	C₂²	semidirect
198. #2368	C₂²	semidirect
199. #2363	C₂²	semidirect
200. #2359	C₂²	semidirect
201. #2358	C₂²	semidirect
202. #2358	C₂²	semidirect
203. #2349	C₂²	semidirect
204. #2342	C₂²	semidirect
206. D₄×C₂²⋊C₄	C₂²	semidirect
207. D₄×C₂²⋊C₄	C₂²	semidirect
208. D₄×C₂²⋊C₄	C₂²	semidirect
209. #2328	C₂²	semidirect
210. #2321	C₂²	semidirect
211. #2321	C₂²	semidirect
212. #2312	C₂²	semidirect
215. #2290	C₂²	semidirect
217. #2273	C₂²	semidirect
248. C₂×#126	C₂³	semidirect
249. C₂×#126	C₂³	semidirect
250. C₂×#126	C₂³	semidirect
251. C₂×#125	C₂³	semidirect
256. C₂×#124	C₂³	semidirect
257. C₂×#124	C₂³	semidirect
264. C₂×#123	C₂³	semidirect
265. C₂×#123	C₂³	semidirect
266. C₂×#123	C₂³	semidirect
267. C₂×#123	C₂³	semidirect
268. C₂×#123	C₂³	semidirect
269. C₂×#123	C₂³	semidirect
274. C₂×C₂²⋊Q₈	C₂³	semidirect
275. C₂×C₂²⋊Q₈	C₂³	semidirect
276. C₂×C₂²⋊Q₈	C₂³	semidirect
277. C₂×C₂²⋊Q₈	C₂³	semidirect
288. C₂×#121	C₂³	semidirect
289. C₂×#121	C₂³	semidirect
290. C₂×#121	C₂³	semidirect
291. C₂×#121	C₂³	semidirect
292. C₂×#121	C₂³	semidirect
293. C₂×#121	C₂³	semidirect
294. C₂×#121	C₂³	semidirect
295. C₂×#121	C₂³	semidirect
296. C₂×#121	C₂³	semidirect
297. C₂×#121	C₂³	semidirect
298. C₂×#121	C₂³	semidirect
325. C₂×C₄×D₄	C₂³	semidirect
326. C₂×C₄×D₄	C₂³	semidirect
327. C₂×C₄×D₄	C₂³	semidirect
328. C₂×C₄×D₄	C₂³	semidirect
329. C₂×C₄×D₄	C₂³	semidirect
330. C₂×#117	C₂³	semidirect
331. C₂×#117	C₂³	semidirect
347. #400	C₂³	semidirect
348. #400	C₂³	semidirect
349. #400	C₂³	semidirect
351. #399	C₂³	semidirect
352. #399	C₂³	semidirect
353. #399	C₂³	semidirect
354. #399	C₂³	semidirect
355. #399	C₂³	semidirect
356. #398	C₂³	semidirect
357. #398	C₂³	semidirect
358. #398	C₂³	semidirect
359. #398	C₂³	semidirect
364. #397	C₂³	semidirect
365. #397	C₂³	semidirect
366. #397	C₂³	semidirect
367. #397	C₂³	semidirect
368. #397	C₂³	semidirect
369. #397	C₂³	semidirect
370. #397	C₂³	semidirect
372. #396	C₂³	semidirect
373. #396	C₂³	semidirect
374. #396	C₂³	semidirect
375. #396	C₂³	semidirect
376. #396	C₂³	semidirect
377. #396	C₂³	semidirect
378. #396	C₂³	semidirect
379. #396	C₂³	semidirect
380. #396	C₂³	semidirect
381. #395	C₂³	semidirect
382. #395	C₂³	semidirect
383. #395	C₂³	semidirect
384. #395	C₂³	semidirect
403. #394	C₂³	semidirect
404. #394	C₂³	semidirect
405. #394	C₂³	semidirect
406. #394	C₂³	semidirect
407. #394	C₂³	semidirect
408. #394	C₂³	semidirect
409. #394	C₂³	semidirect
410. #394	C₂³	semidirect
411. #394	C₂³	semidirect
412. #394	C₂³	semidirect
413. #394	C₂³	semidirect
414. #394	C₂³	semidirect
415. #394	C₂³	semidirect
416. #394	C₂³	semidirect
417. #394	C₂³	semidirect
418. #394	C₂³	semidirect
419. #394	C₂³	semidirect
420. #394	C₂³	semidirect
421. #394	C₂³	semidirect
422. #394	C₂³	semidirect
423. #394	C₂³	semidirect
424. #394	C₂³	semidirect
425. #394	C₂³	semidirect
426. #394	C₂³	semidirect
427. #393	C₂³	semidirect
428. #393	C₂³	semidirect
429. #393	C₂³	semidirect
430. #393	C₂³	semidirect
431. #393	C₂³	semidirect
432. #393	C₂³	semidirect
449. #392	C₂³	semidirect
450. #392	C₂³	semidirect
451. #392	C₂³	semidirect
452. #392	C₂³	semidirect
453. #392	C₂³	semidirect
454. #392	C₂³	semidirect
455. #392	C₂³	semidirect
456. #392	C₂³	semidirect
457. #392	C₂³	semidirect
458. #392	C₂³	semidirect
459. #391	C₂³	semidirect
472. #390	C₂³	semidirect
473. #390	C₂³	semidirect
474. #390	C₂³	semidirect
475. #390	C₂³	semidirect
476. #390	C₂³	semidirect
477. #390	C₂³	semidirect
478. #390	C₂³	semidirect
479. #390	C₂³	semidirect
480. #390	C₂³	semidirect
481. #390	C₂³	semidirect
482. #390	C₂³	semidirect
483. #390	C₂³	semidirect
484. #389	C₂³	semidirect
485. #389	C₂³	semidirect
486. #389	C₂³	semidirect
487. #389	C₂³	semidirect
488. #389	C₂³	semidirect
489. #389	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. #388	C₂³	semidirect
502. #388	C₂³	semidirect
503. #388	C₂³	semidirect
504. #388	C₂³	semidirect
505. #388	C₂³	semidirect
506. #388	C₂³	semidirect
507. #388	C₂³	semidirect
508. #388	C₂³	semidirect
509. #388	C₂³	semidirect
510. #388	C₂³	semidirect
511. #388	C₂³	semidirect
512. #388	C₂³	semidirect
513. #388	C₂³	semidirect
514. #388	C₂³	semidirect
515. #388	C₂³	semidirect
516. #388	C₂³	semidirect
517. #387	C₂³	semidirect
518. #387	C₂³	semidirect
519. #387	C₂³	semidirect
520. #387	C₂³	semidirect
521. #387	C₂³	semidirect
522. #387	C₂³	semidirect
523. #387	C₂³	semidirect
524. #387	C₂³	semidirect
525. #387	C₂³	semidirect
526. #387	C₂³	semidirect
527. #387	C₂³	semidirect
542. #386	C₂³	semidirect
543. #386	C₂³	semidirect
544. #386	C₂³	semidirect
545. #386	C₂³	semidirect
546. #386	C₂³	semidirect
547. #386	C₂³	semidirect
548. #386	C₂³	semidirect
549. #386	C₂³	semidirect
550. #386	C₂³	semidirect
551. #386	C₂³	semidirect
552. #386	C₂³	semidirect
553. #386	C₂³	semidirect
554. #386	C₂³	semidirect
555. #386	C₂³	semidirect
556. #386	C₂³	semidirect
557. #386	C₂³	semidirect
558. #386	C₂³	semidirect
559. #386	C₂³	semidirect
560. #386	C₂³	semidirect
561. #386	C₂³	semidirect
562. #386	C₂³	semidirect
563. #386	C₂³	semidirect
574. #385	C₂³	semidirect
575. #385	C₂³	semidirect
576. #385	C₂³	semidirect
577. #385	C₂³	semidirect
578. #385	C₂³	semidirect
579. #385	C₂³	semidirect
580. #385	C₂³	semidirect
581. #382	C₂³	semidirect
582. #382	C₂³	semidirect
583. #381	C₂³	semidirect
588. #380	C₂³	semidirect
589. #380	C₂³	semidirect
590. #380	C₂³	semidirect
591. #380	C₂³	semidirect
609. C₄×C₄⋊C₄	C₂³	semidirect
610. C₄×C₄⋊C₄	C₂³	semidirect
611. C₄×C₄⋊C₄	C₂³	semidirect
620. C₄×C₂²⋊C₄	C₂³	semidirect
621. C₄×C₂²⋊C₄	C₂³	semidirect
622. C₄×C₂²⋊C₄	C₂³	semidirect
623. C₄×C₂²⋊C₄	C₂³	semidirect
624. C₄×C₂²⋊C₄	C₂³	semidirect
625. #376	C₂³	semidirect
627. 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
#59947	2
#59006	2
#56299	2
#55419	2
#49969	2
#49559	2
#49264	2
#47871	2
#46199	2
#45438	2
#44138	2
#43964	2
#43926	2
#43002	2
#40488	2
#37694	2
#37660	2
#36718	2
#36338	2
#36152	2
#35695	2
#35395	2
C₂×#2433	2