Subgroups — #8933765

Order 512.

5626 conjugacy classes of subgroups.

The subgroup lattice has 1413 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59520	C₂	1	4	yes	maximal, complemented
2	#59476	C₂	1	4	yes	maximal, complemented
3	#59006	C₂	1	4	yes	maximal, complemented
4	#51457	C₂	1	4	yes	maximal, complemented
5	#50888	C₂	1	4	yes	maximal, complemented
6	#50867	C₂	1	2	yes	maximal, complemented
7	#49969	C₂	1	4	yes	maximal, complemented
8	#49950	C₂	1	4	yes	maximal, complemented
9	#48971	C₂	1	2	yes	maximal, complemented
10	#48773	C₂	1	2	yes	maximal, complemented
11	#48553	C₂	1	4	yes	maximal, complemented
12	#48248	C₂	1	4	yes	maximal, complemented
13	#48058	C₂	1	2	yes	maximal, complemented
14	#47905	C₂	1	4	yes	maximal, complemented
15	#47033	C₂	1	2	yes	maximal, complemented
16	#46816	C₂	1	2	yes	maximal, complemented
17	#46814	C₂	1	2	yes	maximal, complemented
18	#35536	C₂	1	2	yes	maximal, complemented
19	#35505	C₂	1	2	yes	maximal, complemented
20	#35488	C₂	1	2	yes	maximal, complemented
21	#35390	C₂	1	1	yes	maximal, characteristic
22	#35367	C₂	1	1	yes	maximal, characteristic, complemented
23	#35350	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#563	C₂²	1	2	yes	complemented
25	C₂×#551	C₂²	1	4	yes	complemented
26	C₂×#551	C₂²	1	2	yes	complemented
27	C₂×#543	C₂²	1	1	yes	characteristic, complemented
28	C₂×#542	C₂²	1	2	yes	complemented
29	C₂×#534	C₂²	1	2	yes	—
30	C₂×#534	C₂²	1	1	yes	characteristic
31	C₂²×#120	C₂²	1	1	yes	characteristic
32	C₂²×#120	C₂²	1	2	yes	—
33	C₂×#518	C₂²	1	1	yes	characteristic, complemented
34	#2816	C₂²	1	2	yes	complemented
35	#2784	C₂²	1	4	yes	complemented
36	#2757	C₂²	1	4	yes	complemented
37	#2756	C₂²	1	4	yes	complemented
38	#2753	C₂²	1	4	yes	complemented
39	#2748	C₂²	1	2	yes	complemented
40	#2740	C₂²	1	4	yes	complemented
41	#2738	C₂²	1	4	yes	complemented
42	#2737	C₂²	1	4	yes	complemented
43	#2737	C₂²	1	4	yes	complemented
44	#2730	C₂²	1	4	yes	complemented
45	#2724	C₂²	1	2	yes	complemented
46	#2723	C₂²	1	4	yes	complemented
47	#2720	C₂²	1	4	yes	complemented
48	#2718	C₂²	1	4	yes	complemented
49	#2717	C₂²	1	2	yes	complemented
50	#2711	C₂²	1	4	yes	complemented
51	#2710	C₂²	1	4	yes	complemented
52	#2709	C₂²	1	2	yes	complemented
53	#2709	C₂²	1	4	yes	complemented
54	#2709	C₂²	1	4	yes	complemented
55	#2709	C₂²	1	2	yes	complemented
56	#2708	C₂²	1	4	yes	complemented
57	#2706	C₂²	1	4	yes	complemented
58	#2705	C₂²	1	4	yes	complemented
59	#2701	C₂²	1	4	yes	complemented
60	#2697	C₂²	1	4	yes	complemented
61	#2697	C₂²	1	2	yes	complemented
62	#2697	C₂²	1	4	yes	complemented
63	#2696	C₂²	1	4	yes	complemented
64	#2696	C₂²	1	4	yes	complemented
65	#2696	C₂²	1	4	yes	complemented
66	#2694	C₂²	1	4	yes	complemented
67	#2692	C₂²	1	4	yes	complemented
68	#2686	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	#2685	C₂²	1	4	yes	complemented
73	#2685	C₂²	1	4	yes	complemented
74	#2684	C₂²	1	4	yes	complemented
75	#2684	C₂²	1	2	yes	complemented
76	#2684	C₂²	1	4	yes	complemented
77	#2683	C₂²	1	2	yes	complemented
78	#2680	C₂²	1	4	yes	complemented
79	#2680	C₂²	1	4	yes	complemented
80	#2677	C₂²	1	4	yes	complemented
81	#2674	C₂²	1	4	yes	complemented
82	#2674	C₂²	1	4	yes	complemented
83	#2672	C₂²	1	4	yes	complemented
84	#2672	C₂²	1	4	yes	complemented
85	#2663	C₂²	1	4	yes	complemented
86	#2648	C₂²	1	4	yes	complemented
87	#2636	C₂²	1	4	yes	complemented
88	#2630	C₂²	1	4	yes	complemented
89	#2628	C₂²	1	4	yes	complemented
90	#2622	C₂²	1	4	yes	complemented
91	#2608	C₂²	1	2	yes	complemented
92	#2602	C₂²	1	4	yes	complemented
93	#2601	C₂²	1	4	yes	complemented
94	#2598	C₂²	1	4	yes	complemented
95	#2598	C₂²	1	4	yes	complemented
96	#2595	C₂²	1	4	yes	complemented
97	#2589	C₂²	1	4	yes	complemented
98	#2577	C₂²	1	4	yes	complemented
99	#2575	C₂²	1	4	yes	complemented
100	#2573	C₂²	1	4	yes	complemented
101	#2563	C₂²	1	2	yes	complemented
102	#2561	C₂²	1	2	yes	—
103	#2561	C₂²	1	2	yes	complemented
104	#2560	C₂²	1	4	yes	complemented
105	#2559	C₂²	1	4	yes	complemented
106	#2558	C₂²	1	4	yes	complemented
107	#2558	C₂²	1	4	yes	complemented
108	#2553	C₂²	1	4	yes	complemented
109	#2544	C₂²	1	2	yes	complemented
110	#2544	C₂²	1	2	yes	complemented
111	#2542	C₂²	1	4	yes	complemented
112	#2542	C₂²	1	2	yes	complemented
113	#2539	C₂²	1	4	yes	—
114	#2539	C₂²	1	2	yes	—
115	#2539	C₂²	1	4	yes	—
116	#2539	C₂²	1	2	yes	—
117	#2534	C₂²	1	4	yes	complemented
118	#2534	C₂²	1	4	yes	complemented
119	#2530	C₂²	1	4	yes	complemented
120	#2526	C₂²	1	4	yes	complemented
121	#2523	C₂²	1	4	yes	complemented
122	#2522	C₂²	1	4	yes	complemented
123	#2517	C₂²	1	4	yes	complemented
124	#2515	C₂²	1	4	yes	complemented
125	#2500	C₂²	1	2	yes	complemented
126	#2499	C₂²	1	2	yes	complemented
127	#2496	C₂²	1	4	yes	complemented
128	#2491	C₂²	1	4	yes	complemented
129	#2482	C₂²	1	2	yes	—
130	#2482	C₂²	1	2	yes	complemented
131	#2480	C₂²	1	4	yes	—
132	#2480	C₂²	1	4	yes	—
133	#2479	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	#2472	C₂²	1	4	yes	complemented
139	#2472	C₂²	1	4	yes	complemented
140	#2472	C₂²	1	4	yes	complemented
141	#2472	C₂²	1	4	yes	complemented
142	#2472	C₂²	1	4	yes	complemented
143	#2471	C₂²	1	4	yes	complemented
144	#2471	C₂²	1	4	yes	complemented
145	#2470	C₂²	1	4	yes	complemented
146	#2467	C₂²	1	4	yes	complemented
147	#2467	C₂²	1	4	yes	complemented
148	#2463	C₂²	1	4	yes	complemented
149	#2463	C₂²	1	4	yes	complemented
150	#2463	C₂²	1	4	yes	complemented
151	#2459	C₂²	1	4	yes	complemented
152	#2458	C₂²	1	4	yes	complemented
153	#2457	C₂²	1	4	yes	complemented
154	#2452	C₂²	1	4	yes	complemented
155	#2445	C₂²	1	4	yes	complemented
156	#2445	C₂²	1	4	yes	complemented
157	#2441	C₂²	1	4	yes	complemented
158	#2437	C₂²	1	4	yes	complemented
159	#2437	C₂²	1	4	yes	complemented
160	#2435	C₂²	1	2	yes	—
161	#2435	C₂²	1	4	yes	—
162	#2435	C₂²	1	2	yes	complemented
163	#2433	C₂²	1	4	yes	—
164	#2433	C₂²	1	2	yes	—
165	#2433	C₂²	1	4	yes	—
166	#2433	C₂²	1	2	yes	—
167	#2423	C₂²	1	4	yes	complemented
168	#2422	C₂²	1	4	yes	complemented
169	#2418	C₂²	1	4	yes	complemented
170	#2418	C₂²	1	4	yes	complemented
171	#2418	C₂²	1	4	yes	complemented
172	#2418	C₂²	1	4	yes	complemented
173	#2418	C₂²	1	4	yes	complemented
174	#2418	C₂²	1	4	yes	complemented
175	#2418	C₂²	1	4	yes	complemented
176	#2418	C₂²	1	4	yes	complemented
177	#2412	C₂²	1	4	yes	complemented
178	#2412	C₂²	1	4	yes	complemented
179	#2411	C₂²	1	4	yes	complemented
180	#2411	C₂²	1	4	yes	complemented
181	#2405	C₂²	1	1	yes	characteristic
182	#2405	C₂²	1	1	yes	characteristic
183	#2405	C₂²	1	4	yes	—
184	#2405	C₂²	1	1	yes	characteristic, complemented
185	#2405	C₂²	1	1	yes	characteristic, complemented
186	#2405	C₂²	1	4	yes	complemented
187	#2405	C₂²	1	4	yes	complemented
188	#2380	C₂²	1	2	yes	complemented
189	#2376	C₂²	1	4	yes	complemented
190	#2376	C₂²	1	2	yes	complemented
191	#2375	C₂²	1	2	yes	complemented
192	#2374	C₂²	1	2	yes	complemented
193	#2374	C₂²	1	2	yes	complemented
194	#2366	C₂²	1	2	yes	complemented
195	#2358	C₂²	1	4	yes	complemented
196	#2354	C₂²	1	4	yes	complemented
197	#2342	C₂²	1	4	yes	complemented
198	#2342	C₂²	1	4	yes	complemented
199	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
200	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
201	#2335	C₂²	1	4	yes	complemented
202	#2334	C₂²	1	4	yes	complemented
203	#2333	C₂²	1	2	yes	complemented
204	#2332	C₂²	1	2	yes	complemented
205	#2328	C₂²	1	2	yes	complemented
206	#2326	C₂²	1	2	yes	complemented
207	#2315	C₂²	1	2	yes	complemented
208	#2308	C₂²	1	1	yes	characteristic, complemented
209	#2308	C₂²	1	2	yes	complemented
210	C₄×#127	C₂²	1	2	yes	complemented
211	C₄×#126	C₂²	1	4	yes	complemented
212	C₄×#124	C₂²	1	2	yes	complemented
213	#2298	C₂²	1	2	yes	complemented
214	#2293	C₂²	1	4	yes	complemented
215	C₂×#379	C₂²	1	2	yes	—
216	C₂×#379	C₂²	1	2	yes	—
217	#2273	C₂²	1	1	yes	characteristic
218	#2273	C₂²	1	1	yes	characteristic, complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂³×D₄	C₂³	1	1	yes	characteristic
221	C₂³×D₄	C₂³	1	1	yes	characteristic
222	C₂³×D₄	C₂³	1	4	yes	—
223	C₂³×D₄	C₂³	1	1	yes	characteristic
224	C₂³×D₄	C₂³	1	2	yes	—
225	#563	—	4	8	no	—
226	#551	—	4	16	no	—
227	#551	—	4	8	no	—
228	#543	—	4	4	no	—
229	#542	—	4	8	no	—
230	#534	—	4	8	no	—
231	#534	—	4	4	no	—
232	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
233	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
234	C₂×#127	C₂³	1	2	yes	—
235	C₂×#127	C₂³	1	2	yes	—
236	C₂×#127	C₂³	1	2	yes	—
237	C₂×#127	C₂³	1	2	yes	—
238	C₂×#126	C₂³	1	4	yes	—
239	C₂×#126	C₂³	1	4	yes	—
240	C₂×#126	C₂³	1	4	yes	complemented
241	C₂×#126	C₂³	1	4	yes	complemented
242	C₂×#125	C₂³	1	4	yes	complemented
243	C₂×#124	C₂³	1	2	yes	—
244	C₂×#124	C₂³	1	2	yes	—
245	C₂×#124	C₂³	1	4	yes	—
246	C₂×#124	C₂³	1	4	yes	—
247	C₂×#124	C₂³	1	2	yes	—
248	C₂×#124	C₂³	1	2	yes	—
249	C₂×#124	C₂³	1	2	yes	complemented
250	C₂×#123	C₂³	1	2	yes	—
251	C₂×#123	C₂³	1	4	yes	—
252	C₂×#123	C₂³	1	2	yes	—
253	C₂×#123	C₂³	1	4	yes	—
254	C₂×#123	C₂³	1	2	yes	—
255	C₂×#123	C₂³	1	2	yes	—
256	C₂×#123	C₂³	1	4	yes	—
257	C₂×#123	C₂³	1	4	yes	—
258	C₂×#123	C₂³	1	2	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	4	yes	—
263	C₂×#123	C₂³	1	4	yes	—
264	C₂×#123	C₂³	1	4	yes	complemented
265	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
266	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
267	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
268	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
269	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
270	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
271	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
272	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
273	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
274	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
275	C₂×#121	C₂³	1	2	yes	—
276	C₂×#121	C₂³	1	4	yes	—
277	C₂×#121	C₂³	1	4	yes	—
278	C₂×#121	C₂³	1	2	yes	—
279	C₂×#120	—	4	4	no	—
280	C₂×#120	—	4	8	no	—
281	C₂×#120	C₂³	1	4	yes	—
282	C₂×#120	C₂³	1	2	yes	—
283	C₂×#120	C₂³	1	2	yes	—
284	C₂×#120	C₂³	1	4	yes	—
285	C₂×#120	C₂³	1	4	yes	—
286	C₂×#120	C₂³	1	4	yes	—
287	C₂×#120	C₂³	1	4	yes	—
288	C₂×#120	C₂³	1	4	yes	—
289	C₂×#120	C₂³	1	4	yes	—
290	C₂×#120	C₂³	1	4	yes	—
291	#518	—	4	4	no	—
292	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
293	C₂×C₄×D₄	C₂³	1	2	yes	—
294	C₂×C₄×D₄	C₂³	1	4	yes	—
295	C₂×C₄×D₄	C₂³	1	2	yes	—
296	C₂×C₄×D₄	C₂³	1	2	yes	—
297	C₂×C₄×D₄	C₂³	1	4	yes	—
298	C₂×C₄×D₄	C₂³	1	4	yes	—
299	C₂×C₄×D₄	C₂³	1	4	yes	—
300	C₂×C₄×D₄	C₂³	1	2	yes	—
301	C₂×C₄×D₄	C₂³	1	2	yes	complemented
302	C₂×C₄×D₄	C₂³	1	4	yes	complemented
303	C₂×#117	C₂³	1	2	yes	—
304	C₂×#117	C₂³	1	4	yes	—
305	C₂×#117	C₂³	1	4	yes	—
306	C₂×#117	C₂³	1	4	yes	complemented
307	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
309	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
312	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
313	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
314	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
315	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
316	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
317	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
318	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
319	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
320	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
321	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	#400	C₂³	1	4	yes	complemented
324	#400	C₂³	1	4	yes	complemented
325	#400	C₂³	1	4	yes	complemented
326	#400	C₂³	1	4	yes	complemented
327	#400	C₂³	1	4	yes	complemented
328	#399	C₂³	1	4	yes	—
329	#399	C₂³	1	4	yes	—
330	#399	C₂³	1	4	yes	—
331	#399	C₂³	1	4	yes	—
332	#399	C₂³	1	4	yes	—
333	#399	C₂³	1	4	yes	—
334	#399	C₂³	1	4	yes	complemented
335	#399	C₂³	1	4	yes	complemented
336	#399	C₂³	1	4	yes	complemented
337	#399	C₂³	1	4	yes	complemented
338	#398	C₂³	1	4	yes	complemented
339	#398	C₂³	1	4	yes	complemented
340	#398	C₂³	1	4	yes	complemented
341	#398	C₂³	1	4	yes	complemented
342	#398	C₂³	1	4	yes	complemented
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	—
351	#397	C₂³	1	4	yes	—
352	#397	C₂³	1	4	yes	—
353	#397	C₂³	1	4	yes	complemented
354	#397	C₂³	1	4	yes	complemented
355	#397	C₂³	1	4	yes	complemented
356	#397	C₂³	1	4	yes	complemented
357	#397	C₂³	1	4	yes	complemented
358	#397	C₂³	1	4	yes	complemented
359	#396	C₂³	1	4	yes	—
360	#396	C₂³	1	4	yes	—
361	#396	C₂³	1	4	yes	—
362	#396	C₂³	1	4	yes	—
363	#396	C₂³	1	4	yes	—
364	#396	C₂³	1	4	yes	—
365	#396	C₂³	1	4	yes	complemented
366	#396	C₂³	1	4	yes	complemented
367	#396	C₂³	1	4	yes	complemented
368	#396	C₂³	1	4	yes	complemented
369	#395	C₂³	1	4	yes	complemented
370	#395	C₂³	1	4	yes	complemented
371	#395	C₂³	1	4	yes	complemented
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	#394	C₂³	1	4	yes	—
378	#394	C₂³	1	4	yes	—
379	#394	C₂³	1	4	yes	—
380	#394	C₂³	1	4	yes	—
381	#394	C₂³	1	4	yes	—
382	#394	C₂³	1	4	yes	—
383	#394	C₂³	1	4	yes	—
384	#394	C₂³	1	4	yes	—
385	#394	C₂³	1	4	yes	—
386	#394	C₂³	1	4	yes	—
387	#394	C₂³	1	4	yes	—
388	#394	C₂³	1	4	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	complemented
397	#394	C₂³	1	4	yes	complemented
398	#394	C₂³	1	4	yes	complemented
399	#394	C₂³	1	4	yes	complemented
400	#394	C₂³	1	4	yes	complemented
401	#394	C₂³	1	4	yes	complemented
402	#394	C₂³	1	4	yes	complemented
403	#394	C₂³	1	4	yes	complemented
404	#394	C₂³	1	4	yes	complemented
405	#393	C₂³	1	4	yes	—
406	#393	C₂³	1	4	yes	—
407	#393	C₂³	1	4	yes	—
408	#393	C₂³	1	4	yes	—
409	#393	C₂³	1	4	yes	complemented
410	#393	C₂³	1	4	yes	complemented
411	#393	C₂³	1	4	yes	complemented
412	#393	C₂³	1	4	yes	complemented
413	#392	C₂³	1	4	yes	—
414	#392	C₂³	1	4	yes	—
415	#392	C₂³	1	4	yes	—
416	#392	C₂³	1	4	yes	—
417	#392	C₂³	1	4	yes	—
418	#392	C₂³	1	4	yes	—
419	#391	C₂³	1	2	yes	complemented
420	#391	C₂³	1	2	yes	complemented
421	#391	C₂³	1	4	yes	complemented
422	#390	C₂³	1	4	yes	—
423	#390	C₂³	1	2	yes	—
424	#390	C₂³	1	4	yes	—
425	#390	C₂³	1	2	yes	—
426	#390	C₂³	1	2	yes	—
427	#390	C₂³	1	4	yes	—
428	#390	C₂³	1	4	yes	—
429	#390	C₂³	1	4	yes	—
430	#390	C₂³	1	4	yes	—
431	#390	C₂³	1	4	yes	—
432	#390	C₂³	1	4	yes	—
433	#390	C₂³	1	2	yes	—
434	#390	C₂³	1	4	yes	—
435	#390	C₂³	1	2	yes	—
436	#390	C₂³	1	2	yes	—
437	#390	C₂³	1	2	yes	—
438	#390	C₂³	1	2	yes	—
439	#390	C₂³	1	4	yes	—
440	#390	C₂³	1	4	yes	complemented
441	#390	C₂³	1	2	yes	complemented
442	#390	C₂³	1	2	yes	complemented
443	#390	C₂³	1	4	yes	complemented
444	#390	C₂³	1	4	yes	complemented
445	#389	C₂³	1	4	yes	complemented
446	#389	C₂³	1	4	yes	complemented
447	#389	C₂³	1	4	yes	complemented
448	#389	C₂³	1	4	yes	complemented
449	#389	C₂³	1	4	yes	complemented
450	#389	C₂³	1	4	yes	complemented
451	#389	C₂³	1	4	yes	complemented
452	#389	C₂³	1	4	yes	complemented
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	—
469	#388	C₂³	1	4	yes	—
470	#388	C₂³	1	4	yes	—
471	#388	C₂³	1	4	yes	—
472	#388	C₂³	1	4	yes	—
473	#388	C₂³	1	4	yes	—
474	#388	C₂³	1	4	yes	—
475	#388	C₂³	1	4	yes	complemented
476	#388	C₂³	1	4	yes	complemented
477	#388	C₂³	1	4	yes	complemented
478	#388	C₂³	1	4	yes	complemented
479	#388	C₂³	1	4	yes	complemented
480	#388	C₂³	1	4	yes	complemented
481	#388	C₂³	1	4	yes	complemented
482	#388	C₂³	1	4	yes	complemented
483	#388	C₂³	1	4	yes	complemented
484	#388	C₂³	1	4	yes	complemented
485	#388	C₂³	1	4	yes	complemented
486	#388	C₂³	1	4	yes	complemented
487	#388	C₂³	1	4	yes	complemented
488	#388	C₂³	1	4	yes	complemented
489	#388	C₂³	1	4	yes	complemented
490	#388	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	#387	C₂³	1	4	yes	complemented
503	#387	C₂³	1	4	yes	complemented
504	#387	C₂³	1	4	yes	complemented
505	#387	C₂³	1	4	yes	complemented
506	#387	C₂³	1	4	yes	complemented
507	#387	C₂³	1	4	yes	complemented
508	#387	C₂³	1	4	yes	complemented
509	#386	C₂³	1	4	yes	—
510	#386	C₂³	1	4	yes	—
511	#386	C₂³	1	4	yes	—
512	#386	C₂³	1	2	yes	—
513	#386	C₂³	1	2	yes	—
514	#386	C₂³	1	2	yes	—
515	#386	C₂³	1	2	yes	—
516	#386	C₂³	1	4	yes	—
517	#386	C₂³	1	4	yes	—
518	#386	C₂³	1	4	yes	—
519	#386	C₂³	1	4	yes	—
520	#386	C₂³	1	4	yes	—
521	#386	C₂³	1	4	yes	—
522	#386	C₂³	1	4	yes	—
523	#386	C₂³	1	4	yes	—
524	#386	C₂³	1	4	yes	—
525	#386	C₂³	1	4	yes	—
526	#386	C₂³	1	4	yes	—
527	#386	C₂³	1	4	yes	—
528	#386	C₂³	1	4	yes	—
529	#386	C₂³	1	2	yes	—
530	#386	C₂³	1	4	yes	—
531	#386	C₂³	1	2	yes	—
532	#386	C₂³	1	2	yes	—
533	#386	C₂³	1	4	yes	—
534	#386	C₂³	1	2	yes	—
535	#386	C₂³	1	4	yes	complemented
536	#386	C₂³	1	4	yes	complemented
537	#386	C₂³	1	4	yes	complemented
538	#386	C₂³	1	4	yes	complemented
539	#386	C₂³	1	4	yes	complemented
540	#386	C₂³	1	4	yes	complemented
541	#386	C₂³	1	4	yes	complemented
542	#386	C₂³	1	4	yes	complemented
543	#385	C₂³	1	2	yes	—
544	#385	C₂³	1	4	yes	—
545	#385	C₂³	1	4	yes	—
546	#385	C₂³	1	2	yes	—
547	#385	C₂³	1	2	yes	—
548	#385	C₂³	1	2	yes	—
549	#385	C₂³	1	4	yes	—
550	#385	C₂³	1	4	yes	—
551	#385	C₂³	1	4	yes	—
552	#385	C₂³	1	4	yes	—
553	#385	C₂³	1	4	yes	—
554	#385	C₂³	1	4	yes	—
555	#385	C₂³	1	4	yes	—
556	#385	C₂³	1	4	yes	—
557	#385	C₂³	1	4	yes	—
558	#385	C₂³	1	4	yes	—
559	#385	C₂³	1	4	yes	complemented
560	#385	C₂³	1	4	yes	complemented
561	#385	C₂³	1	4	yes	complemented
562	#385	C₂³	1	4	yes	complemented
563	#384	C₂³	1	2	yes	complemented
564	#384	C₂³	1	2	yes	complemented
565	#384	C₂³	1	4	yes	complemented
566	#383	C₂³	1	4	yes	complemented
567	#383	C₂³	1	4	yes	complemented
568	#382	C₂³	1	2	yes	complemented
569	#382	C₂³	1	2	yes	complemented
570	#382	C₂³	1	4	yes	complemented
571	#381	C₂³	1	2	yes	—
572	#381	C₂³	1	4	yes	—
573	#381	C₂³	1	4	yes	—
574	#381	C₂³	1	4	yes	—
575	#380	C₂³	1	4	yes	—
576	#380	C₂³	1	4	yes	—
577	#380	C₂³	1	4	yes	—
578	#380	C₂³	1	4	yes	—
579	#380	C₂³	1	4	yes	—
580	#380	C₂³	1	4	yes	—
581	#380	C₂³	1	4	yes	—
582	#380	C₂³	1	4	yes	—
583	#380	C₂³	1	4	yes	complemented
584	#380	C₂³	1	4	yes	complemented
585	#379	C₂³	1	4	yes	—
586	#379	C₂³	1	4	yes	—
587	#379	C₂³	1	1	yes	characteristic
588	#379	C₂³	1	1	yes	characteristic
589	#379	C₂³	1	4	yes	—
590	#379	C₂³	1	4	yes	—
591	#379	C₂³	1	4	yes	—
592	#379	C₂³	1	4	yes	—
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	4	yes	—
595	#379	C₂³	1	2	yes	—
596	#379	C₂³	1	2	yes	—
597	#379	C₂³	1	2	yes	—
598	#379	C₂³	1	4	yes	—
599	#379	C₂³	1	4	yes	—
600	#379	C₂³	1	2	yes	—
601	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
602	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
603	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
604	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
605	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
606	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
607	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
609	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
610	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
611	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
615	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
616	C₄×C₂²⋊C₄	C₂³	1	2	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	#376	C₂³	1	2	yes	complemented
623	C₄³	C₂³	1	2	yes	complemented
624	C₂⁵	—	4	2	no	—
625	C₂⁵	—	4	4	no	—
626	C₂⁵	—	4	4	no	—
627	C₂⁵	—	4	4	no	—
628	C₂⁵	C₂⁴	1	1	yes	characteristic
629	C₂⁵	C₂⁴	1	1	yes	characteristic
630	C₂⁵	C₂⁴	1	4	yes	—
631	C₂⁵	C₂⁴	1	1	yes	characteristic
632	C₂⁵	C₂⁴	1	1	yes	characteristic
633	C₂⁵	C₂⁴	1	2	yes	—
634	C₂²×Q₈	C₂⁴	1	2	yes	—
635	C₂²×Q₈	C₂⁴	1	2	yes	—
636	C₂²×Q₈	C₂⁴	1	4	yes	—
637	C₂²×D₄	—	2	4	no	—
638	C₂²×D₄	—	4	8	no	—
639	C₂²×D₄	—	4	2	no	—
640	C₂²×D₄	—	4	2	no	—
641	C₂²×D₄	—	4	4	no	—
642	C₂²×D₄	—	4	4	no	—
643	C₂²×D₄	—	4	4	no	—
644	C₂²×D₄	—	4	4	no	—
645	C₂²×D₄	—	4	4	no	—
646	C₂²×D₄	—	4	8	no	—
647	C₂²×D₄	—	4	8	no	—
648	C₂²×D₄	—	4	4	no	—
649	C₂²×D₄	C₂⁴	1	4	yes	—
650	C₂²×D₄	C₂⁴	1	4	yes	—
651	C₂²×D₄	C₂⁴	1	2	yes	—
652	C₂²×D₄	C₂⁴	1	2	yes	—
653	C₂²×D₄	C₂⁴	1	4	yes	—
654	C₂²×D₄	C₂⁴	1	2	yes	—
655	C₂²×D₄	C₂⁴	1	4	yes	—
656	C₂²×D₄	C₂⁴	1	2	yes	—
657	C₂²×D₄	C₂⁴	1	2	yes	—
658	C₂²×D₄	C₂⁴	1	4	yes	—
659	C₂²×D₄	C₂⁴	1	4	yes	—
660	C₂²×D₄	C₂⁴	1	4	yes	—
661	C₂²×D₄	C₂⁴	1	2	yes	—
662	C₂²×D₄	C₂⁴	1	2	yes	—
663	C₂²×D₄	C₂⁴	1	4	yes	—
664	C₂²×D₄	C₂⁴	1	2	yes	—
665	C₂³×C₄	C₂⁴	1	4	yes	—
666	C₂³×C₄	C₂⁴	1	4	yes	—
667	C₂³×C₄	C₂⁴	1	4	yes	—
668	C₂³×C₄	C₂⁴	1	1	yes	characteristic
669	C₂³×C₄	C₂⁴	1	1	yes	characteristic
670	C₂³×C₄	C₂⁴	1	2	yes	—
671	C₂³×C₄	C₂⁴	1	2	yes	—
672	C₂³×C₄	C₂⁴	1	2	yes	—
673	C₂³×C₄	C₂⁴	1	2	yes	—
674	C₂³×C₄	C₂⁴	1	2	yes	—
675	C₂³×C₄	C₂⁴	1	4	yes	—
676	C₂³×C₄	C₂⁴	1	1	yes	characteristic
677	C₂³×C₄	C₂⁴	1	4	yes	—
678	C₂³×C₄	C₂⁴	1	1	yes	characteristic
679	C₂³×C₄	C₂⁴	1	1	yes	characteristic
680	C₂³×C₄	C₂⁴	1	1	yes	characteristic
681	C₂³×C₄	C₂⁴	1	1	yes	characteristic
682	C₄⋊Q₈	—	4	4	no	—
683	C₄⋊Q₈	—	4	8	no	—
684	#127	—	4	4	no	—
685	#127	—	4	4	no	—
686	#127	—	4	4	no	—
687	#127	—	4	4	no	—
688	#126	—	2	16	no	—
689	#126	—	2	16	no	—
690	#126	—	4	8	no	—
691	#126	—	4	8	no	—
692	#125	—	4	8	no	—
693	#124	—	4	4	no	—
694	#124	—	4	4	no	—
695	#124	—	4	4	no	—
696	#124	—	4	8	no	—
697	#124	—	4	4	no	—
698	#124	—	4	8	no	—
699	#124	—	4	4	no	—
700	#123	—	2	8	no	—
701	#123	—	4	8	no	—
702	#123	—	4	8	no	—
703	#123	—	4	4	no	—
704	#123	—	4	4	no	—
705	#123	—	4	8	no	—
706	#123	—	4	4	no	—
707	#123	—	4	8	no	—
708	#123	—	4	4	no	—
709	#123	—	4	8	no	—
710	#123	—	4	8	no	—
711	#123	—	4	4	no	—
712	#123	—	4	8	no	—
713	#123	—	4	8	no	—
714	#123	—	4	8	no	—
715	C₂²⋊Q₈	—	2	8	no	—
716	C₂²⋊Q₈	—	4	4	no	—
717	C₂²⋊Q₈	—	4	8	no	—
718	C₂²⋊Q₈	—	4	8	no	—
719	C₂²⋊Q₈	—	4	8	no	—
720	C₂²⋊Q₈	—	4	8	no	—
721	C₂²⋊Q₈	—	4	8	no	—
722	C₂²⋊Q₈	—	4	8	no	—
723	C₂²⋊Q₈	—	4	8	no	—
724	C₂²⋊Q₈	—	4	8	no	—
725	#121	—	2	8	no	—
726	#121	—	4	8	no	—
727	#121	—	4	8	no	—
728	#121	—	4	4	no	—
729	#120	—	2	16	no	—
730	#120	—	2	8	no	—
731	#120	—	4	8	no	—
732	#120	—	4	8	no	—
733	#120	—	4	8	no	—
734	#120	—	4	8	no	—
735	#120	—	4	8	no	—
736	#120	—	4	8	no	—
737	#120	—	4	8	no	—
738	#120	—	4	4	no	—
739	C₄×Q₈	—	4	4	no	—
740	C₄×D₄	—	4	4	no	—
741	C₄×D₄	—	4	4	no	—
742	C₄×D₄	—	4	4	no	—
743	C₄×D₄	—	4	4	no	—
744	C₄×D₄	—	4	8	no	—
745	C₄×D₄	—	4	8	no	—
746	C₄×D₄	—	4	4	no	—
747	C₄×D₄	—	4	8	no	—
748	C₄×D₄	—	4	8	no	—
749	C₄×D₄	—	4	8	no	—
750	#117	—	2	8	no	—
751	#117	—	4	8	no	—
752	#117	—	4	8	no	—
753	#117	—	4	8	no	—
754	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
756	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
757	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
758	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
759	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
760	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
761	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
762	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
763	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
764	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
766	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
768	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
773	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
776	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
777	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
778	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
779	C₂×C₄⋊C₄	C₂⁴	1	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×C₂²⋊C₄	—	2	4	no	—
788	C₂×C₂²⋊C₄	—	2	4	no	—
789	C₂×C₂²⋊C₄	—	2	8	no	—
790	C₂×C₂²⋊C₄	—	4	8	no	—
791	C₂×C₂²⋊C₄	—	4	8	no	—
792	C₂×C₂²⋊C₄	—	4	8	no	—
793	C₂×C₂²⋊C₄	—	4	2	no	—
794	C₂×C₂²⋊C₄	—	4	4	no	—
795	C₂×C₂²⋊C₄	—	4	2	no	—
796	C₂×C₂²⋊C₄	—	4	4	no	—
797	C₂×C₂²⋊C₄	—	4	8	no	—
798	C₂×C₂²⋊C₄	—	4	8	no	—
799	C₂×C₂²⋊C₄	—	4	8	no	—
800	C₂×C₂²⋊C₄	—	4	4	no	—
801	C₂×C₂²⋊C₄	—	4	4	no	—
802	C₂×C₂²⋊C₄	—	4	2	no	—
803	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
805	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	4	yes	—
819	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
838	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
839	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
840	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	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	2	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
871	C₂×C₄²	C₂⁴	1	4	yes	—
872	C₂×C₄²	C₂⁴	1	2	yes	—
873	C₂×C₄²	C₂⁴	1	2	yes	—
874	C₂×C₄²	C₂⁴	1	4	yes	—
875	C₂×C₄²	C₂⁴	1	4	yes	—
876	C₂×C₄²	C₂⁴	1	2	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	2	yes	—
881	C₂×C₄²	C₂⁴	1	2	yes	—
882	C₂×C₄²	C₂⁴	1	2	yes	—
883	C₂×C₄²	C₂⁴	1	2	yes	—
884	C₂×C₄²	C₂⁴	1	2	yes	—
885	C₂×C₄²	C₂⁴	1	2	yes	—
886	C₂×C₄²	C₂⁴	1	2	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	4	yes	—
893	#95	C₂⁴	1	4	yes	—
894	#95	C₂⁴	1	4	yes	—
895	#95	C₂⁴	1	4	yes	—
896	#95	C₂⁴	1	4	yes	—
897	#95	C₂⁴	1	4	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	4	yes	—
917	#95	C₂⁴	1	4	yes	—
918	#95	C₂⁴	1	4	yes	—
919	#95	C₂⁴	1	4	yes	—
920	#95	C₂⁴	1	4	yes	—
921	#95	C₂⁴	1	4	yes	—
922	#95	C₂⁴	1	4	yes	—
923	C₂⁴	—	2	2	no	—
924	C₂⁴	—	2	2	no	—
925	C₂⁴	—	2	4	no	—
926	C₂⁴	—	2	2	no	—
927	C₂⁴	—	2	4	no	—
928	C₂⁴	—	2	4	no	—
929	C₂⁴	—	2	8	no	—
930	C₂⁴	—	2	8	no	—
931	C₂⁴	—	2	8	no	—
932	C₂⁴	—	2	2	no	—
933	C₂⁴	—	2	4	no	—
934	C₂⁴	—	4	4	no	—
935	C₂⁴	—	4	4	no	—
936	C₂⁴	—	4	4	no	—
937	C₂⁴	—	4	2	no	—
938	C₂⁴	—	4	4	no	—
939	C₂⁴	—	4	2	no	—
940	C₂⁴	—	4	2	no	—
941	C₂⁴	—	4	2	no	—
942	C₂⁴	—	4	2	no	—
943	C₂⁴	—	4	2	no	—
944	C₂⁴	—	4	2	no	—
945	C₂⁴	—	4	2	no	—
946	C₂⁴	—	4	4	no	—
947	C₂⁴	—	4	4	no	—
948	C₂⁴	—	4	2	no	—
949	C₂⁴	—	4	2	no	—
950	C₂⁴	—	4	2	no	—
951	C₂⁴	—	8	8	no	—
952	C₂⁴	—	8	8	no	—
953	C₂⁴	—	8	8	no	—
954	C₂⁴	—	8	32	no	—
955	C₂⁴	C₂⁵	1	1	yes	characteristic
956	C₂⁴	C₂⁵	1	4	yes	—
957	C₂⁴	C₂⁵	1	1	yes	characteristic
958	C₂⁴	C₂⁵	1	1	yes	characteristic
959	C₂⁴	C₂⁵	1	2	yes	—
960	C₂⁴	C₂⁵	1	2	yes	—
961	C₂⁴	C₂⁵	1	2	yes	—
962	C₂×Q₈	—	2	4	no	—
963	C₂×Q₈	—	4	2	no	—
964	C₂×Q₈	—	4	2	no	—
965	C₂×Q₈	—	4	2	no	—
966	C₂×Q₈	—	4	4	no	—
967	C₂×Q₈	—	4	2	no	—
968	C₂×Q₈	—	4	4	no	—
969	C₂×Q₈	—	4	4	no	—
970	C₂×Q₈	—	4	2	no	—
971	C₂×D₄	—	2	8	no	—
972	C₂×D₄	—	2	8	no	—
973	C₂×D₄	—	2	4	no	—
974	C₂×D₄	—	2	4	no	—
975	C₂×D₄	—	2	8	no	—
976	C₂×D₄	—	2	4	no	—
977	C₂×D₄	—	2	4	no	—
978	C₂×D₄	—	2	8	no	—
979	C₂×D₄	—	2	8	no	—
980	C₂×D₄	—	2	8	no	—
981	C₂×D₄	—	2	4	no	—
982	C₂×D₄	—	2	4	no	—
983	C₂×D₄	—	2	4	no	—
984	C₂×D₄	—	2	4	no	—
985	C₂×D₄	—	2	8	no	—
986	C₂×D₄	—	2	8	no	—
987	C₂×D₄	—	2	8	no	—
988	C₂×D₄	—	2	4	no	—
989	C₂×D₄	—	4	4	no	—
990	C₂×D₄	—	4	4	no	—
991	C₂×D₄	—	4	2	no	—
992	C₂×D₄	—	4	2	no	—
993	C₂×D₄	—	4	4	no	—
994	C₂×D₄	—	4	2	no	—
995	C₂×D₄	—	4	2	no	—
996	C₂×D₄	—	4	4	no	—
997	C₂×D₄	—	4	4	no	—
998	C₂×D₄	—	4	2	no	—
999	C₂×D₄	—	4	2	no	—
1000	C₂×D₄	—	4	4	no	—
1001	C₂×D₄	—	4	4	no	—
1002	C₂×D₄	—	4	2	no	—
1003	C₂×D₄	—	4	2	no	—
1004	C₂×D₄	—	4	4	no	—
1005	C₂×D₄	—	4	4	no	—
1006	C₂×D₄	—	4	4	no	—
1007	C₂×D₄	—	4	2	no	—
1008	C₂×D₄	—	4	2	no	—
1009	C₂×D₄	—	4	2	no	—
1010	C₂×D₄	—	4	2	no	—
1011	C₂×D₄	—	4	4	no	—
1012	C₂×D₄	—	4	4	no	—
1013	C₂×D₄	—	4	4	no	—
1014	C₂×D₄	—	4	2	no	—
1015	C₂×D₄	—	4	4	no	—
1016	C₂×D₄	—	4	2	no	—
1017	C₂×D₄	—	4	4	no	—
1018	C₂×D₄	—	4	2	no	—
1019	C₂×D₄	—	4	16	no	—
1020	C₂×D₄	—	8	32	no	—
1021	C₂×D₄	—	8	8	no	—
1022	C₂×D₄	—	8	16	no	—
1023	C₂×D₄	—	8	8	no	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	2	2	no	—
1026	C₂²×C₄	—	2	4	no	—
1027	C₂²×C₄	—	2	8	no	—
1028	C₂²×C₄	—	2	8	no	—
1029	C₂²×C₄	—	2	8	no	—
1030	C₂²×C₄	—	4	2	no	—
1031	C₂²×C₄	—	4	2	no	—
1032	C₂²×C₄	—	4	4	no	—
1033	C₂²×C₄	—	4	4	no	—
1034	C₂²×C₄	—	4	4	no	—
1035	C₂²×C₄	—	4	4	no	—
1036	C₂²×C₄	—	4	4	no	—
1037	C₂²×C₄	—	4	4	no	—
1038	C₂²×C₄	—	4	4	no	—
1039	C₂²×C₄	—	4	2	no	—
1040	C₂²×C₄	—	4	2	no	—
1041	C₂²×C₄	—	4	4	no	—
1042	C₂²×C₄	—	4	4	no	—
1043	C₂²×C₄	—	4	2	no	—
1044	C₂²×C₄	—	4	1	no	—
1045	C₂²×C₄	—	4	2	no	—
1046	C₂²×C₄	—	4	1	no	—
1047	C₂²×C₄	—	4	1	no	—
1048	C₂²×C₄	—	4	2	no	—
1049	C₂²×C₄	—	4	1	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	2	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	4	no	—
1060	C₂²×C₄	—	4	2	no	—
1061	C₂²×C₄	—	4	2	no	—
1062	C₂²×C₄	—	4	2	no	—
1063	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1064	C₂²×C₄	C₂⁵	1	4	yes	—
1065	C₂²×C₄	C₂⁵	1	2	yes	—
1066	C₂²×C₄	C₂⁵	1	2	yes	—
1067	C₂²×C₄	C₂⁵	1	4	yes	—
1068	C₂²×C₄	C₂⁵	1	4	yes	—
1069	C₂²×C₄	C₂⁵	1	2	yes	—
1070	C₂²×C₄	C₂⁵	1	4	yes	—
1071	C₂²×C₄	C₂⁵	1	4	yes	—
1072	C₂²×C₄	C₂⁵	1	4	yes	—
1073	C₂²×C₄	C₂⁵	1	2	yes	—
1074	C₂²×C₄	C₂⁵	1	4	yes	—
1075	C₂²×C₄	C₂⁵	1	2	yes	—
1076	C₂²×C₄	C₂⁵	1	2	yes	—
1077	C₂²×C₄	C₂⁵	1	4	yes	—
1078	C₂²×C₄	C₂⁵	1	2	yes	—
1079	C₂²×C₄	C₂⁵	1	4	yes	—
1080	C₄⋊C₄	—	2	4	no	—
1081	C₄⋊C₄	—	2	4	no	—
1082	C₄⋊C₄	—	2	8	no	—
1083	C₄⋊C₄	—	2	8	no	—
1084	C₄⋊C₄	—	2	8	no	—
1085	C₄⋊C₄	—	2	4	no	—
1086	C₄⋊C₄	—	2	8	no	—
1087	C₄⋊C₄	—	2	4	no	—
1088	C₄⋊C₄	—	2	8	no	—
1089	C₄⋊C₄	—	2	8	no	—
1090	C₄⋊C₄	—	2	8	no	—
1091	C₄⋊C₄	—	2	8	no	—
1092	C₄⋊C₄	—	4	4	no	—
1093	C₄⋊C₄	—	4	4	no	—
1094	C₄⋊C₄	—	4	4	no	—
1095	C₄⋊C₄	—	4	4	no	—
1096	C₄⋊C₄	—	4	4	no	—
1097	C₄⋊C₄	—	4	4	no	—
1098	C₄⋊C₄	—	4	4	no	—
1099	C₄⋊C₄	—	4	2	no	—
1100	C₄⋊C₄	—	4	2	no	—
1101	C₄⋊C₄	—	4	4	no	—
1102	C₄⋊C₄	—	4	4	no	—
1103	C₄⋊C₄	—	4	4	no	—
1104	C₄⋊C₄	—	4	4	no	—
1105	C₄⋊C₄	—	4	4	no	—
1106	C₄⋊C₄	—	4	4	no	—
1107	C₄⋊C₄	—	4	4	no	—
1108	C₄⋊C₄	—	4	4	no	—
1109	C₄⋊C₄	—	4	4	no	—
1110	C₄⋊C₄	—	4	4	no	—
1111	C₄⋊C₄	—	4	4	no	—
1112	C₄⋊C₄	—	4	4	no	—
1113	C₂²⋊C₄	—	2	4	no	—
1114	C₂²⋊C₄	—	2	4	no	—
1115	C₂²⋊C₄	—	2	4	no	—
1116	C₂²⋊C₄	—	2	8	no	—
1117	C₂²⋊C₄	—	2	8	no	—
1118	C₂²⋊C₄	—	2	8	no	—
1119	C₂²⋊C₄	—	2	8	no	—
1120	C₂²⋊C₄	—	2	8	no	—
1121	C₂²⋊C₄	—	2	8	no	—
1122	C₂²⋊C₄	—	2	8	no	—
1123	C₂²⋊C₄	—	2	8	no	—
1124	C₂²⋊C₄	—	2	8	no	—
1125	C₂²⋊C₄	—	2	8	no	—
1126	C₂²⋊C₄	—	2	8	no	—
1127	C₂²⋊C₄	—	2	8	no	—
1128	C₂²⋊C₄	—	2	8	no	—
1129	C₂²⋊C₄	—	2	8	no	—
1130	C₂²⋊C₄	—	2	8	no	—
1131	C₂²⋊C₄	—	2	8	no	—
1132	C₂²⋊C₄	—	2	8	no	—
1133	C₂²⋊C₄	—	4	4	no	—
1134	C₂²⋊C₄	—	4	4	no	—
1135	C₂²⋊C₄	—	4	4	no	—
1136	C₂²⋊C₄	—	4	2	no	—
1137	C₂²⋊C₄	—	4	2	no	—
1138	C₂²⋊C₄	—	4	4	no	—
1139	C₂²⋊C₄	—	4	4	no	—
1140	C₂²⋊C₄	—	4	4	no	—
1141	C₂²⋊C₄	—	4	2	no	—
1142	C₂²⋊C₄	—	4	2	no	—
1143	C₂²⋊C₄	—	4	4	no	—
1144	C₂²⋊C₄	—	4	4	no	—
1145	C₂²⋊C₄	—	4	4	no	—
1146	C₂²⋊C₄	—	4	2	no	—
1147	C₂²⋊C₄	—	4	2	no	—
1148	C₂²⋊C₄	—	4	2	no	—
1149	C₂²⋊C₄	—	4	2	no	—
1150	C₂²⋊C₄	—	4	4	no	—
1151	C₂²⋊C₄	—	4	4	no	—
1152	C₂²⋊C₄	—	4	4	no	—
1153	C₂²⋊C₄	—	4	4	no	—
1154	C₂²⋊C₄	—	4	4	no	—
1155	C₂²⋊C₄	—	4	4	no	—
1156	C₂²⋊C₄	—	4	4	no	—
1157	C₂²⋊C₄	—	4	4	no	—
1158	C₂²⋊C₄	—	4	4	no	—
1159	C₂²⋊C₄	—	4	4	no	—
1160	C₂²⋊C₄	—	4	4	no	—
1161	C₂²⋊C₄	—	4	4	no	—
1162	C₂²⋊C₄	—	4	4	no	—
1163	C₂²⋊C₄	—	4	4	no	—
1164	C₂²⋊C₄	—	4	4	no	—
1165	C₂²⋊C₄	—	4	4	no	—
1166	C₂²⋊C₄	—	4	4	no	—
1167	C₂²⋊C₄	—	4	4	no	—
1168	C₂²⋊C₄	—	4	4	no	—
1169	C₂²⋊C₄	—	4	4	no	—
1170	C₂²⋊C₄	—	4	4	no	—
1171	C₂²⋊C₄	—	4	2	no	—
1172	C₂²⋊C₄	—	4	2	no	—
1173	C₂²⋊C₄	—	4	4	no	—
1174	C₂²⋊C₄	—	4	4	no	—
1175	C₂²⋊C₄	—	4	2	no	—
1176	C₂²⋊C₄	—	4	4	no	—
1177	C₂²⋊C₄	—	4	2	no	—
1178	C₂²⋊C₄	—	4	4	no	—
1179	C₂²⋊C₄	—	4	4	no	—
1180	C₂²⋊C₄	H(5,𝔽₂)	1	8	yes	—
1181	C₄²	—	2	4	no	—
1182	C₄²	—	2	4	no	—
1183	C₄²	—	2	8	no	—
1184	C₄²	—	2	8	no	—
1185	C₄²	—	4	2	no	—
1186	C₄²	—	4	4	no	—
1187	C₄²	—	4	4	no	—
1188	C₄²	—	4	4	no	—
1189	C₄²	—	4	4	no	—
1190	C₄²	—	4	2	no	—
1191	C₄²	—	4	2	no	—
1192	C₄²	—	4	2	no	—
1193	C₄²	—	4	2	no	—
1194	C₄²	—	4	2	no	—
1195	C₄²	—	4	2	no	—
1196	C₄²	—	4	2	no	—
1197	C₂³	—	2	8	no	—
1198	C₂³	—	2	8	no	—
1199	C₂³	—	2	8	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	2	2	no	—
1202	C₂³	—	2	2	no	—
1203	C₂³	—	2	4	no	—
1204	C₂³	—	2	4	no	—
1205	C₂³	—	2	2	no	—
1206	C₂³	—	2	2	no	—
1207	C₂³	—	2	4	no	—
1208	C₂³	—	2	4	no	—
1209	C₂³	—	2	2	no	—
1210	C₂³	—	2	2	no	—
1211	C₂³	—	2	2	no	—
1212	C₂³	—	2	2	no	—
1213	C₂³	—	2	4	no	—
1214	C₂³	—	2	4	no	—
1215	C₂³	—	2	2	no	—
1216	C₂³	—	2	4	no	—
1217	C₂³	—	2	4	no	—
1218	C₂³	—	2	2	no	—
1219	C₂³	—	2	4	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	4	no	—
1223	C₂³	—	2	4	no	—
1224	C₂³	—	2	2	no	—
1225	C₂³	—	2	2	no	—
1226	C₂³	—	2	4	no	—
1227	C₂³	—	2	4	no	—
1228	C₂³	—	2	2	no	—
1229	C₂³	—	2	2	no	—
1230	C₂³	—	4	16	no	—
1231	C₂³	—	4	16	no	—
1232	C₂³	—	4	16	no	—
1233	C₂³	—	4	4	no	—
1234	C₂³	—	8	8	no	—
1235	C₂³	—	8	8	no	—
1236	C₂³	—	8	8	no	—
1237	C₂³	—	8	2	no	—
1238	C₂³	—	8	2	no	—
1239	C₂³	—	8	8	no	—
1240	C₂³	—	8	2	no	—
1241	C₂³	—	8	2	no	—
1242	C₂³	—	8	8	no	—
1243	C₂³	—	8	2	no	—
1244	C₂³	—	8	2	no	—
1245	C₂³	—	8	8	no	—
1246	C₂³	—	8	2	no	—
1247	C₂³	—	8	2	no	—
1248	C₂³	—	8	4	no	—
1249	C₂³	—	8	8	no	—
1250	C₂³	—	8	8	no	—
1251	C₂³	—	8	8	no	—
1252	C₂³	—	8	64	no	—
1253	C₂³	—	16	4	no	—
1254	C₂³	—	16	2	no	—
1255	C₂³	—	16	2	no	—
1256	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1257	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1258	C₂³	#585	1	4	yes	—
1259	C₂³	#585	1	4	yes	—
1260	C₂³	C₂⁶	1	1	yes	characteristic
1261	Q₈	—	8	4	no	—
1262	Q₈	—	16	2	no	—
1263	Q₈	—	16	4	no	—
1264	D₄	—	4	8	no	—
1265	D₄	—	4	8	no	—
1266	D₄	—	4	16	no	—
1267	D₄	—	4	16	no	—
1268	D₄	—	8	8	no	—
1269	D₄	—	8	4	no	—
1270	D₄	—	8	8	no	—
1271	D₄	—	8	8	no	—
1272	D₄	—	8	4	no	—
1273	D₄	—	8	4	no	—
1274	D₄	—	8	8	no	—
1275	D₄	—	8	4	no	—
1276	D₄	—	8	4	no	—
1277	D₄	—	8	8	no	—
1278	D₄	—	16	4	no	—
1279	D₄	—	16	2	no	—
1280	C₂×C₄	—	2	4	no	—
1281	C₂×C₄	—	2	4	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	2	no	—
1284	C₂×C₄	—	2	4	no	—
1285	C₂×C₄	—	2	2	no	—
1286	C₂×C₄	—	2	4	no	—
1287	C₂×C₄	—	2	2	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	2	4	no	—
1290	C₂×C₄	—	2	2	no	—
1291	C₂×C₄	—	2	4	no	—
1292	C₂×C₄	—	2	4	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	2	4	no	—
1295	C₂×C₄	—	2	4	no	—
1296	C₂×C₄	—	2	4	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	2	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	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	4	no	—
1317	C₂×C₄	—	2	4	no	—
1318	C₂×C₄	—	2	4	no	—
1319	C₂×C₄	—	2	4	no	—
1320	C₂×C₄	—	2	4	no	—
1321	C₂×C₄	—	2	4	no	—
1322	C₂×C₄	—	4	4	no	—
1323	C₂×C₄	—	8	8	no	—
1324	C₂×C₄	—	8	8	no	—
1325	C₂×C₄	—	8	8	no	—
1326	C₂×C₄	—	8	2	no	—
1327	C₂×C₄	—	8	2	no	—
1328	C₂×C₄	—	8	4	no	—
1329	C₂×C₄	—	8	8	no	—
1330	C₂×C₄	—	16	2	no	—
1331	C₂×C₄	—	16	2	no	—
1332	C₂×C₄	—	16	1	no	—
1333	C₂×C₄	—	16	1	no	—
1334	C₂×C₄	—	16	1	no	—
1335	C₂×C₄	—	16	2	no	—
1336	C₂×C₄	—	16	4	no	—
1337	C₂×C₄	—	16	2	no	—
1338	C₂×C₄	—	16	1	no	—
1339	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1340	C₂×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1341	C₂²	—	2	8	no	—
1342	C₂²	—	2	8	no	—
1343	C₂²	—	2	8	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	2	4	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	4	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	2	4	no	—
1350	C₂²	—	4	4	no	—
1351	C₂²	—	4	4	no	—
1352	C₂²	—	4	4	no	—
1353	C₂²	—	4	4	no	—
1354	C₂²	—	4	2	no	—
1355	C₂²	—	4	2	no	—
1356	C₂²	—	4	2	no	—
1357	C₂²	—	4	2	no	—
1358	C₂²	—	4	2	no	—
1359	C₂²	—	4	2	no	—
1360	C₂²	—	4	4	no	—
1361	C₂²	—	4	4	no	—
1362	C₂²	—	4	4	no	—
1363	C₂²	—	4	4	no	—
1364	C₂²	—	4	4	no	—
1365	C₂²	—	4	4	no	—
1366	C₂²	—	4	1	no	—
1367	C₂²	—	4	1	no	—
1368	C₂²	—	4	4	no	—
1369	C₂²	—	4	1	no	—
1370	C₂²	—	4	1	no	—
1371	C₂²	—	4	4	no	—
1372	C₂²	—	4	1	no	—
1373	C₂²	—	4	4	no	—
1374	C₂²	—	4	1	no	—
1375	C₂²	—	8	8	no	—
1376	C₂²	—	8	8	no	—
1377	C₂²	—	8	8	no	—
1378	C₂²	—	8	32	no	—
1379	C₂²	—	16	4	no	—
1380	C₂²	—	16	8	no	—
1381	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1382	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1383	C₂²	C₂×#585	1	2	yes	—
1384	C₂²	C₂×#585	1	2	yes	—
1385	C₄	—	2	8	no	—
1386	C₄	—	2	4	no	—
1387	C₄	—	4	4	no	—
1388	C₄	—	4	4	no	—
1389	C₄	—	4	4	no	—
1390	C₄	—	4	4	no	—
1391	C₄	—	4	4	no	—
1392	C₄	—	4	4	no	—
1393	C₄	—	4	2	no	—
1394	C₄	—	4	2	no	—
1395	C₄	—	4	2	no	—
1396	C₄	—	4	4	no	—
1397	C₄	—	4	2	no	—
1398	C₄	—	4	2	no	—
1399	C₄	—	4	2	no	—
1400	C₄	—	4	4	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	4	4	no	—
1403	C₂	—	4	4	no	—
1404	C₂	—	4	2	no	—
1405	C₂	—	8	4	no	—
1406	C₂	—	8	1	no	—
1407	C₂	—	8	1	no	—
1408	C₂	#62820	1	1	yes	characteristic
1409	C₂	#62824	1	1	yes	characteristic
1410	C₂	#62832	1	1	yes	characteristic
1411	C₂	#63017	1	4	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#35390	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. #59520	C₂	semidirect
2. #59476	C₂	semidirect
3. #59006	C₂	semidirect
4. #51457	C₂	semidirect
5. #50888	C₂	semidirect
6. #50867	C₂	semidirect
7. #49969	C₂	semidirect
8. #49950	C₂	semidirect
9. #48971	C₂	semidirect
10. #48773	C₂	semidirect
11. #48553	C₂	semidirect
12. #48248	C₂	semidirect
13. #48058	C₂	semidirect
14. #47905	C₂	semidirect
15. #47033	C₂	semidirect
16. #46816	C₂	semidirect
17. #46814	C₂	semidirect
18. #35536	C₂	semidirect
19. #35505	C₂	semidirect
20. #35488	C₂	semidirect
22. #35367	C₂	semidirect
23. #35350	C₂	semidirect
24. C₂×#563	C₂²	semidirect
25. C₂×#551	C₂²	semidirect
26. C₂×#551	C₂²	semidirect
27. C₂×#543	C₂²	semidirect
28. C₂×#542	C₂²	semidirect
33. C₂×#518	C₂²	semidirect
34. #2816	C₂²	semidirect
35. #2784	C₂²	semidirect
36. #2757	C₂²	semidirect
37. #2756	C₂²	semidirect
38. #2753	C₂²	semidirect
39. #2748	C₂²	semidirect
40. #2740	C₂²	semidirect
41. #2738	C₂²	semidirect
42. #2737	C₂²	semidirect
43. #2737	C₂²	semidirect
44. #2730	C₂²	semidirect
45. #2724	C₂²	semidirect
46. #2723	C₂²	semidirect
47. #2720	C₂²	semidirect
48. #2718	C₂²	semidirect
49. #2717	C₂²	semidirect
50. #2711	C₂²	semidirect
51. #2710	C₂²	semidirect
52. #2709	C₂²	semidirect
53. #2709	C₂²	semidirect
54. #2709	C₂²	semidirect
55. #2709	C₂²	semidirect
56. #2708	C₂²	semidirect
57. #2706	C₂²	semidirect
58. #2705	C₂²	semidirect
59. #2701	C₂²	semidirect
60. #2697	C₂²	semidirect
61. #2697	C₂²	semidirect
62. #2697	C₂²	semidirect
63. #2696	C₂²	semidirect
64. #2696	C₂²	semidirect
65. #2696	C₂²	semidirect
66. #2694	C₂²	semidirect
67. #2692	C₂²	semidirect
68. #2686	C₂²	semidirect
69. #2685	C₂²	semidirect
70. #2685	C₂²	semidirect
71. #2685	C₂²	semidirect
72. #2685	C₂²	semidirect
73. #2685	C₂²	semidirect
74. #2684	C₂²	semidirect
75. #2684	C₂²	semidirect
76. #2684	C₂²	semidirect
77. #2683	C₂²	semidirect
78. #2680	C₂²	semidirect
79. #2680	C₂²	semidirect
80. #2677	C₂²	semidirect
81. #2674	C₂²	semidirect
82. #2674	C₂²	semidirect
83. #2672	C₂²	semidirect
84. #2672	C₂²	semidirect
85. #2663	C₂²	semidirect
86. #2648	C₂²	semidirect
87. #2636	C₂²	semidirect
88. #2630	C₂²	semidirect
89. #2628	C₂²	semidirect
90. #2622	C₂²	semidirect
91. #2608	C₂²	semidirect
92. #2602	C₂²	semidirect
93. #2601	C₂²	semidirect
94. #2598	C₂²	semidirect
95. #2598	C₂²	semidirect
96. #2595	C₂²	semidirect
97. #2589	C₂²	semidirect
98. #2577	C₂²	semidirect
99. #2575	C₂²	semidirect
100. #2573	C₂²	semidirect
101. #2563	C₂²	semidirect
103. #2561	C₂²	semidirect
104. #2560	C₂²	semidirect
105. #2559	C₂²	semidirect
106. #2558	C₂²	semidirect
107. #2558	C₂²	semidirect
108. #2553	C₂²	semidirect
109. #2544	C₂²	semidirect
110. #2544	C₂²	semidirect
111. #2542	C₂²	semidirect
112. #2542	C₂²	semidirect
117. #2534	C₂²	semidirect
118. #2534	C₂²	semidirect
119. #2530	C₂²	semidirect
120. #2526	C₂²	semidirect
121. #2523	C₂²	semidirect
122. #2522	C₂²	semidirect
123. #2517	C₂²	semidirect
124. #2515	C₂²	semidirect
125. #2500	C₂²	semidirect
126. #2499	C₂²	semidirect
127. #2496	C₂²	semidirect
128. #2491	C₂²	semidirect
130. #2482	C₂²	semidirect
133. #2479	C₂²	semidirect
134. #2476	C₂²	semidirect
135. #2472	C₂²	semidirect
136. #2472	C₂²	semidirect
137. #2472	C₂²	semidirect
138. #2472	C₂²	semidirect
139. #2472	C₂²	semidirect
140. #2472	C₂²	semidirect
141. #2472	C₂²	semidirect
142. #2472	C₂²	semidirect
143. #2471	C₂²	semidirect
144. #2471	C₂²	semidirect
145. #2470	C₂²	semidirect
146. #2467	C₂²	semidirect
147. #2467	C₂²	semidirect
148. #2463	C₂²	semidirect
149. #2463	C₂²	semidirect
150. #2463	C₂²	semidirect
151. #2459	C₂²	semidirect
152. #2458	C₂²	semidirect
153. #2457	C₂²	semidirect
154. #2452	C₂²	semidirect
155. #2445	C₂²	semidirect
156. #2445	C₂²	semidirect
157. #2441	C₂²	semidirect
158. #2437	C₂²	semidirect
159. #2437	C₂²	semidirect
162. #2435	C₂²	semidirect
167. #2423	C₂²	semidirect
168. #2422	C₂²	semidirect
169. #2418	C₂²	semidirect
170. #2418	C₂²	semidirect
171. #2418	C₂²	semidirect
172. #2418	C₂²	semidirect
173. #2418	C₂²	semidirect
174. #2418	C₂²	semidirect
175. #2418	C₂²	semidirect
176. #2418	C₂²	semidirect
177. #2412	C₂²	semidirect
178. #2412	C₂²	semidirect
179. #2411	C₂²	semidirect
180. #2411	C₂²	semidirect
184. #2405	C₂²	semidirect
185. #2405	C₂²	semidirect
186. #2405	C₂²	semidirect
187. #2405	C₂²	semidirect
188. #2380	C₂²	semidirect
189. #2376	C₂²	semidirect
190. #2376	C₂²	semidirect
191. #2375	C₂²	semidirect
192. #2374	C₂²	semidirect
193. #2374	C₂²	semidirect
194. #2366	C₂²	semidirect
195. #2358	C₂²	semidirect
196. #2354	C₂²	semidirect
197. #2342	C₂²	semidirect
198. #2342	C₂²	semidirect
199. D₄×C₂²⋊C₄	C₂²	semidirect
200. D₄×C₂²⋊C₄	C₂²	semidirect
201. #2335	C₂²	semidirect
202. #2334	C₂²	semidirect
203. #2333	C₂²	semidirect
204. #2332	C₂²	semidirect
205. #2328	C₂²	semidirect
206. #2326	C₂²	semidirect
207. #2315	C₂²	semidirect
208. #2308	C₂²	semidirect
209. #2308	C₂²	semidirect
210. C₄×#127	C₂²	semidirect
211. C₄×#126	C₂²	semidirect
212. C₄×#124	C₂²	semidirect
213. #2298	C₂²	semidirect
214. #2293	C₂²	semidirect
218. #2273	C₂²	semidirect
232. C₂×C₄⋊Q₈	C₂³	semidirect
233. C₂×C₄⋊Q₈	C₂³	semidirect
240. C₂×#126	C₂³	semidirect
241. C₂×#126	C₂³	semidirect
242. C₂×#125	C₂³	semidirect
249. C₂×#124	C₂³	semidirect
264. C₂×#123	C₂³	semidirect
272. C₂×C₂²⋊Q₈	C₂³	semidirect
273. C₂×C₂²⋊Q₈	C₂³	semidirect
274. C₂×C₂²⋊Q₈	C₂³	semidirect
292. C₂×C₄×Q₈	C₂³	semidirect
301. C₂×C₄×D₄	C₂³	semidirect
302. C₂×C₄×D₄	C₂³	semidirect
306. C₂×#117	C₂³	semidirect
323. #400	C₂³	semidirect
324. #400	C₂³	semidirect
325. #400	C₂³	semidirect
326. #400	C₂³	semidirect
327. #400	C₂³	semidirect
334. #399	C₂³	semidirect
335. #399	C₂³	semidirect
336. #399	C₂³	semidirect
337. #399	C₂³	semidirect
338. #398	C₂³	semidirect
339. #398	C₂³	semidirect
340. #398	C₂³	semidirect
341. #398	C₂³	semidirect
342. #398	C₂³	semidirect
353. #397	C₂³	semidirect
354. #397	C₂³	semidirect
355. #397	C₂³	semidirect
356. #397	C₂³	semidirect
357. #397	C₂³	semidirect
358. #397	C₂³	semidirect
365. #396	C₂³	semidirect
366. #396	C₂³	semidirect
367. #396	C₂³	semidirect
368. #396	C₂³	semidirect
369. #395	C₂³	semidirect
370. #395	C₂³	semidirect
371. #395	C₂³	semidirect
396. #394	C₂³	semidirect
397. #394	C₂³	semidirect
398. #394	C₂³	semidirect
399. #394	C₂³	semidirect
400. #394	C₂³	semidirect
401. #394	C₂³	semidirect
402. #394	C₂³	semidirect
403. #394	C₂³	semidirect
404. #394	C₂³	semidirect
409. #393	C₂³	semidirect
410. #393	C₂³	semidirect
411. #393	C₂³	semidirect
412. #393	C₂³	semidirect
419. #391	C₂³	semidirect
420. #391	C₂³	semidirect
421. #391	C₂³	semidirect
440. #390	C₂³	semidirect
441. #390	C₂³	semidirect
442. #390	C₂³	semidirect
443. #390	C₂³	semidirect
444. #390	C₂³	semidirect
445. #389	C₂³	semidirect
446. #389	C₂³	semidirect
447. #389	C₂³	semidirect
448. #389	C₂³	semidirect
449. #389	C₂³	semidirect
450. #389	C₂³	semidirect
451. #389	C₂³	semidirect
452. #389	C₂³	semidirect
475. #388	C₂³	semidirect
476. #388	C₂³	semidirect
477. #388	C₂³	semidirect
478. #388	C₂³	semidirect
479. #388	C₂³	semidirect
480. #388	C₂³	semidirect
481. #388	C₂³	semidirect
482. #388	C₂³	semidirect
483. #388	C₂³	semidirect
484. #388	C₂³	semidirect
485. #388	C₂³	semidirect
486. #388	C₂³	semidirect
487. #388	C₂³	semidirect
488. #388	C₂³	semidirect
489. #388	C₂³	semidirect
490. #388	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
502. #387	C₂³	semidirect
503. #387	C₂³	semidirect
504. #387	C₂³	semidirect
505. #387	C₂³	semidirect
506. #387	C₂³	semidirect
507. #387	C₂³	semidirect
508. #387	C₂³	semidirect
535. #386	C₂³	semidirect
536. #386	C₂³	semidirect
537. #386	C₂³	semidirect
538. #386	C₂³	semidirect
539. #386	C₂³	semidirect
540. #386	C₂³	semidirect
541. #386	C₂³	semidirect
542. #386	C₂³	semidirect
559. #385	C₂³	semidirect
560. #385	C₂³	semidirect
561. #385	C₂³	semidirect
562. #385	C₂³	semidirect
563. #384	C₂³	semidirect
564. #384	C₂³	semidirect
565. #384	C₂³	semidirect
566. #383	C₂³	semidirect
567. #383	C₂³	semidirect
568. #382	C₂³	semidirect
569. #382	C₂³	semidirect
570. #382	C₂³	semidirect
583. #380	C₂³	semidirect
584. #380	C₂³	semidirect
601. C₄×C₄⋊C₄	C₂³	semidirect
602. C₄×C₄⋊C₄	C₂³	semidirect
603. C₄×C₄⋊C₄	C₂³	semidirect
604. C₄×C₄⋊C₄	C₂³	semidirect
605. C₄×C₄⋊C₄	C₂³	semidirect
606. C₄×C₄⋊C₄	C₂³	semidirect
620. C₄×C₂²⋊C₄	C₂³	semidirect
621. C₄×C₂²⋊C₄	C₂³	semidirect
622. #376	C₂³	semidirect
623. C₄³	C₂³	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#59520	2
#59476	2
#59006	2
#51457	2
#50888	2
#50867	2
#49969	2
#49950	2
#48971	2
#48773	2
#48553	2
#48248	2
#48058	2
#47905	2
#47033	2
#46816	2
#46814	2
#35536	2
#35505	2
#35488	2
#35390	2
#35367	2
#35350	2