Subgroups — #8106072

Order 512.

5854 conjugacy classes of subgroups.

The subgroup lattice has 1411 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#52718	C₂	1	4	yes	maximal, complemented
2	#52471	C₂	1	4	yes	maximal, complemented
3	#52470	C₂	1	4	yes	maximal, complemented
4	#43511	C₂	1	2	yes	maximal, complemented
5	#43492	C₂	1	2	yes	maximal, complemented
6	#43247	C₂	1	4	yes	maximal, complemented
7	#43224	C₂	1	4	yes	maximal, complemented
8	#41427	C₂	1	2	yes	maximal, complemented
9	#41404	C₂	1	2	yes	maximal, complemented
10	#41389	C₂	1	2	yes	maximal, complemented
11	#41371	C₂	1	2	yes	maximal, complemented
12	#40866	C₂	1	4	yes	maximal, complemented
13	#40813	C₂	1	4	yes	maximal, complemented
14	#40762	C₂	1	4	yes	maximal, complemented
15	#40700	C₂	1	4	yes	maximal, complemented
16	#36607	C₂	1	2	yes	maximal, complemented
17	#36103	C₂	1	2	yes	maximal, complemented
18	#36098	C₂	1	4	yes	maximal, complemented
19	#35051	C₂	1	2	yes	maximal, complemented
20	#34997	C₂	1	2	yes	maximal, complemented
21	#34988	C₂	1	1	yes	maximal, characteristic, complemented
22	#34981	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#397	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#547	C₂²	1	2	yes	complemented
25	C₂×#546	C₂²	1	4	yes	—
26	C₂×#538	C₂²	1	1	yes	characteristic, complemented
27	C₂×#534	C₂²	1	1	yes	characteristic
28	C₂×#525	C₂²	1	4	yes	complemented
29	C₂²×#120	C₂²	1	2	yes	—
30	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
31	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
32	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
33	#2849	C₂²	1	4	yes	complemented
34	#2848	C₂²	1	1	yes	characteristic, complemented
35	#2847	C₂²	1	2	yes	—
36	#2847	C₂²	1	2	yes	—
37	#2847	C₂²	1	4	yes	complemented
38	#2847	C₂²	1	1	yes	characteristic, complemented
39	#2846	C₂²	1	2	yes	—
40	#2838	C₂²	1	4	yes	complemented
41	#2838	C₂²	1	4	yes	complemented
42	#2837	C₂²	1	4	yes	complemented
43	#2830	C₂²	1	4	yes	complemented
44	#2829	C₂²	1	4	yes	complemented
45	#2828	C₂²	1	4	yes	complemented
46	#2827	C₂²	1	4	yes	complemented
47	#2827	C₂²	1	4	yes	complemented
48	#2826	C₂²	1	4	yes	complemented
49	#2825	C₂²	1	4	yes	complemented
50	#2821	C₂²	1	2	yes	complemented
51	#2817	C₂²	1	2	yes	complemented
52	#2815	C₂²	1	2	yes	complemented
53	#2812	C₂²	1	2	yes	complemented
54	#2803	C₂²	1	4	yes	complemented
55	#2797	C₂²	1	4	yes	complemented
56	#2797	C₂²	1	4	yes	complemented
57	#2796	C₂²	1	4	yes	complemented
58	#2796	C₂²	1	4	yes	complemented
59	#2793	C₂²	1	4	yes	complemented
60	#2793	C₂²	1	4	yes	complemented
61	#2787	C₂²	1	4	yes	complemented
62	#2778	C₂²	1	4	yes	complemented
63	#2771	C₂²	1	2	yes	complemented
64	#2770	C₂²	1	4	yes	complemented
65	#2765	C₂²	1	4	yes	complemented
66	#2764	C₂²	1	2	yes	complemented
67	#2757	C₂²	1	4	yes	complemented
68	#2757	C₂²	1	4	yes	complemented
69	#2752	C₂²	1	4	yes	complemented
70	#2749	C₂²	1	4	yes	complemented
71	#2746	C₂²	1	4	yes	complemented
72	#2737	C₂²	1	4	yes	complemented
73	#2736	C₂²	1	2	yes	complemented
74	#2735	C₂²	1	4	yes	complemented
75	#2735	C₂²	1	2	yes	complemented
76	#2723	C₂²	1	4	yes	complemented
77	#2717	C₂²	1	4	yes	complemented
78	#2710	C₂²	1	4	yes	complemented
79	#2708	C₂²	1	4	yes	complemented
80	#2703	C₂²	1	4	yes	complemented
81	#2696	C₂²	1	4	yes	complemented
82	#2688	C₂²	1	4	yes	complemented
83	#2686	C₂²	1	4	yes	complemented
84	#2680	C₂²	1	4	yes	complemented
85	#2678	C₂²	1	4	yes	complemented
86	#2674	C₂²	1	4	yes	complemented
87	#2668	C₂²	1	4	yes	complemented
88	#2661	C₂²	1	2	yes	complemented
89	#2659	C₂²	1	2	yes	complemented
90	#2656	C₂²	1	2	yes	complemented
91	#2653	C₂²	1	4	yes	complemented
92	#2651	C₂²	1	4	yes	complemented
93	#2649	C₂²	1	4	yes	complemented
94	#2649	C₂²	1	4	yes	complemented
95	#2646	C₂²	1	2	yes	complemented
96	#2643	C₂²	1	4	yes	complemented
97	#2640	C₂²	1	2	yes	complemented
98	#2639	C₂²	1	2	yes	complemented
99	#2639	C₂²	1	4	yes	complemented
100	#2638	C₂²	1	4	yes	complemented
101	#2631	C₂²	1	2	yes	complemented
102	#2626	C₂²	1	1	yes	characteristic
103	#2623	C₂²	1	2	yes	complemented
104	#2622	C₂²	1	2	yes	complemented
105	#2622	C₂²	1	4	yes	complemented
106	#2617	C₂²	1	2	yes	—
107	#2617	C₂²	1	2	yes	—
108	#2617	C₂²	1	1	yes	characteristic
109	#2603	C₂²	1	2	yes	complemented
110	#2600	C₂²	1	2	yes	complemented
111	#2597	C₂²	1	4	yes	complemented
112	#2578	C₂²	1	4	yes	complemented
113	#2577	C₂²	1	4	yes	complemented
114	#2569	C₂²	1	2	yes	complemented
115	#2569	C₂²	1	4	yes	complemented
116	#2564	C₂²	1	4	yes	complemented
117	#2564	C₂²	1	4	yes	complemented
118	#2543	C₂²	1	4	yes	complemented
119	#2543	C₂²	1	4	yes	complemented
120	#2543	C₂²	1	2	yes	complemented
121	#2543	C₂²	1	4	yes	complemented
122	#2539	C₂²	1	4	yes	complemented
123	#2534	C₂²	1	4	yes	complemented
124	#2530	C₂²	1	4	yes	complemented
125	#2518	C₂²	1	4	yes	complemented
126	#2516	C₂²	1	4	yes	complemented
127	#2510	C₂²	1	4	yes	complemented
128	#2510	C₂²	1	4	yes	complemented
129	#2510	C₂²	1	4	yes	complemented
130	#2510	C₂²	1	4	yes	complemented
131	#2505	C₂²	1	4	yes	complemented
132	#2504	C₂²	1	2	yes	complemented
133	#2501	C₂²	1	2	yes	complemented
134	#2498	C₂²	1	4	yes	complemented
135	#2498	C₂²	1	4	yes	complemented
136	#2493	C₂²	1	4	yes	complemented
137	#2488	C₂²	1	4	yes	complemented
138	#2486	C₂²	1	2	yes	complemented
139	#2483	C₂²	1	2	yes	complemented
140	#2480	C₂²	1	4	yes	complemented
141	#2472	C₂²	1	4	yes	—
142	#2472	C₂²	1	4	yes	—
143	#2472	C₂²	1	4	yes	complemented
144	#2472	C₂²	1	4	yes	complemented
145	#2450	C₂²	1	4	yes	complemented
146	#2449	C₂²	1	4	yes	complemented
147	#2449	C₂²	1	4	yes	complemented
148	#2444	C₂²	1	4	yes	complemented
149	#2444	C₂²	1	4	yes	complemented
150	#2444	C₂²	1	4	yes	complemented
151	#2444	C₂²	1	4	yes	complemented
152	#2443	C₂²	1	4	yes	complemented
153	#2443	C₂²	1	4	yes	complemented
154	#2443	C₂²	1	4	yes	complemented
155	#2440	C₂²	1	4	yes	complemented
156	#2437	C₂²	1	4	yes	complemented
157	#2437	C₂²	1	4	yes	complemented
158	#2430	C₂²	1	4	yes	complemented
159	#2430	C₂²	1	4	yes	complemented
160	#2425	C₂²	1	4	yes	complemented
161	#2424	C₂²	1	4	yes	—
162	#2424	C₂²	1	4	yes	—
163	#2424	C₂²	1	4	yes	—
164	#2424	C₂²	1	4	yes	—
165	#2424	C₂²	1	4	yes	complemented
166	#2422	C₂²	1	4	yes	complemented
167	#2419	C₂²	1	4	yes	complemented
168	#2418	C₂²	1	4	yes	—
169	#2418	C₂²	1	4	yes	—
170	#2418	C₂²	1	4	yes	complemented
171	#2418	C₂²	1	4	yes	complemented
172	#2416	C₂²	1	4	yes	complemented
173	#2413	C₂²	1	4	yes	complemented
174	#2412	C₂²	1	4	yes	—
175	#2412	C₂²	1	4	yes	—
176	#2412	C₂²	1	4	yes	—
177	#2411	C₂²	1	4	yes	complemented
178	#2410	C₂²	1	4	yes	—
179	#2410	C₂²	1	4	yes	—
180	#2410	C₂²	1	4	yes	complemented
181	#2410	C₂²	1	4	yes	complemented
182	#2406	C₂²	1	4	yes	complemented
183	#2405	C₂²	1	4	yes	—
184	#2404	C₂²	1	4	yes	complemented
185	C₂×#397	C₂²	1	2	yes	—
186	C₂×#397	C₂²	1	2	yes	—
187	C₂×#397	C₂²	1	4	yes	complemented
188	C₂×#397	C₂²	1	4	yes	complemented
189	C₂×#397	C₂²	1	2	yes	complemented
190	C₂×#397	C₂²	1	4	yes	complemented
191	C₂×#397	C₂²	1	2	yes	complemented
192	C₂×#397	C₂²	1	4	yes	complemented
193	#2364	C₂²	1	4	yes	complemented
194	#2364	C₂²	1	2	yes	complemented
195	#2361	C₂²	1	4	yes	complemented
196	#2358	C₂²	1	4	yes	complemented
197	#2358	C₂²	1	4	yes	complemented
198	#2353	C₂²	1	4	yes	complemented
199	#2353	C₂²	1	2	yes	complemented
200	D₄×C₄⋊C₄	C₂²	1	4	yes	complemented
201	#2344	C₂²	1	2	yes	complemented
202	#2342	C₂²	1	4	yes	—
203	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
204	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
205	#2329	C₂²	1	2	yes	complemented
206	#2325	C₂²	1	4	yes	complemented
207	#2325	C₂²	1	2	yes	complemented
208	#2325	C₂²	1	2	yes	complemented
209	#2325	C₂²	1	2	yes	complemented
210	#2321	C₂²	1	2	yes	—
211	#2318	C₂²	1	4	yes	complemented
212	#2315	C₂²	1	1	yes	characteristic
213	#2312	C₂²	1	1	yes	characteristic, complemented
214	#2308	C₂²	1	2	yes	—
215	C₄×#120	C₂²	1	4	yes	complemented
216	C₄×#120	C₂²	1	2	yes	complemented
217	C₂²×#95	C₂²	1	2	yes	complemented
218	C₂²×#95	C₂²	1	1	yes	characteristic, complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂²×#41	C₂³	1	4	yes	—
221	C₂³×D₄	C₂³	1	2	yes	—
222	C₂³×D₄	C₂³	1	4	yes	—
223	C₂⁴×C₄	C₂³	1	1	yes	characteristic
224	C₂⁴×C₄	C₂³	1	2	yes	—
225	C₂⁴×C₄	C₂³	1	1	yes	characteristic
226	C₂⁴×C₄	C₂³	1	2	yes	—
227	#547	—	4	8	no	—
228	#546	—	4	16	no	—
229	#538	—	4	4	no	—
230	#534	—	4	4	no	—
231	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
232	C₂×#126	C₂³	1	2	yes	—
233	C₂×#124	C₂³	1	2	yes	—
234	C₂×#124	C₂³	1	4	yes	—
235	#525	—	4	16	no	—
236	C₂×#123	C₂³	1	4	yes	—
237	C₂×#123	C₂³	1	4	yes	—
238	C₂×#123	C₂³	1	2	yes	—
239	C₂×#123	C₂³	1	4	yes	—
240	C₂×#123	C₂³	1	4	yes	—
241	C₂×#123	C₂³	1	4	yes	—
242	C₂×#123	C₂³	1	4	yes	—
243	C₂×#123	C₂³	1	4	yes	complemented
244	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
245	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
246	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
247	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
249	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
250	C₂×#121	C₂³	1	2	yes	—
251	C₂×#121	C₂³	1	2	yes	—
252	C₂×#121	C₂³	1	2	yes	—
253	C₂×#121	C₂³	1	4	yes	—
254	C₂×#121	C₂³	1	2	yes	—
255	C₂×#121	C₂³	1	4	yes	—
256	C₂×#121	C₂³	1	2	yes	—
257	C₂×#121	C₂³	1	1	yes	characteristic
258	C₂×#121	C₂³	1	4	yes	—
259	C₂×#121	C₂³	1	4	yes	—
260	C₂×#121	C₂³	1	4	yes	—
261	C₂×#121	C₂³	1	4	yes	—
262	C₂×#121	C₂³	1	4	yes	—
263	C₂×#121	C₂³	1	4	yes	—
264	C₂×#121	C₂³	1	2	yes	—
265	C₂×#121	C₂³	1	2	yes	complemented
266	C₂×#120	—	4	8	no	—
267	C₂×#120	C₂³	1	2	yes	—
268	C₂×#120	C₂³	1	2	yes	—
269	C₂×#120	C₂³	1	4	yes	—
270	C₂×#120	C₂³	1	4	yes	—
271	C₂×#120	C₂³	1	4	yes	—
272	C₂×#120	C₂³	1	2	yes	—
273	C₂×#120	C₂³	1	4	yes	—
274	C₂×#120	C₂³	1	4	yes	—
275	C₂×#120	C₂³	1	4	yes	—
276	C₂×#120	C₂³	1	4	yes	—
277	C₂×#120	C₂³	1	4	yes	—
278	C₂×C₄×D₄	C₂³	1	2	yes	—
279	C₂×C₄×D₄	C₂³	1	4	yes	—
280	C₂×C₄×D₄	C₂³	1	4	yes	—
281	C₂×C₄×D₄	C₂³	1	4	yes	—
282	C₂×C₄×D₄	C₂³	1	4	yes	—
283	C₂×C₄×D₄	C₂³	1	4	yes	—
284	C₂×C₄×D₄	C₂³	1	4	yes	—
285	C₂×C₄×D₄	C₂³	1	4	yes	—
286	C₂×C₄×D₄	C₂³	1	4	yes	—
287	C₂×C₄×D₄	C₂³	1	4	yes	—
288	C₂×C₄×D₄	C₂³	1	2	yes	complemented
289	C₂×#117	C₂³	1	4	yes	—
290	C₂²×C₄⋊C₄	—	4	4	no	—
291	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
292	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
293	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
294	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
295	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
296	C₂²×C₂²⋊C₄	—	4	4	no	—
297	C₂²×C₂²⋊C₄	—	4	8	no	—
298	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
301	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
303	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
304	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
305	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
306	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
307	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
309	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
310	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
311	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
312	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
313	#401	C₂³	1	4	yes	complemented
314	#401	C₂³	1	4	yes	complemented
315	#400	C₂³	1	4	yes	complemented
316	#400	C₂³	1	4	yes	complemented
317	#400	C₂³	1	4	yes	complemented
318	#400	C₂³	1	4	yes	complemented
319	#400	C₂³	1	4	yes	complemented
320	#400	C₂³	1	4	yes	complemented
321	#400	C₂³	1	4	yes	complemented
322	#400	C₂³	1	4	yes	complemented
323	#400	C₂³	1	4	yes	complemented
324	#400	C₂³	1	4	yes	complemented
325	#400	C₂³	1	4	yes	complemented
326	#399	C₂³	1	4	yes	—
327	#399	C₂³	1	4	yes	—
328	#399	C₂³	1	2	yes	—
329	#399	C₂³	1	4	yes	complemented
330	#399	C₂³	1	4	yes	complemented
331	#399	C₂³	1	4	yes	complemented
332	#399	C₂³	1	4	yes	complemented
333	#398	C₂³	1	2	yes	complemented
334	#398	C₂³	1	2	yes	complemented
335	#398	C₂³	1	4	yes	complemented
336	#398	C₂³	1	4	yes	complemented
337	#398	C₂³	1	4	yes	complemented
338	#398	C₂³	1	4	yes	complemented
339	#398	C₂³	1	4	yes	complemented
340	#398	C₂³	1	2	yes	complemented
341	#398	C₂³	1	4	yes	complemented
342	#398	C₂³	1	4	yes	complemented
343	#397	C₂³	1	2	yes	—
344	#397	C₂³	1	2	yes	—
345	#397	C₂³	1	4	yes	—
346	#397	C₂³	1	2	yes	—
347	#397	C₂³	1	2	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	—
354	#397	C₂³	1	4	yes	—
355	#397	C₂³	1	4	yes	—
356	#397	C₂³	1	2	yes	—
357	#397	C₂³	1	2	yes	—
358	#397	C₂³	1	2	yes	—
359	#397	C₂³	1	4	yes	—
360	#397	C₂³	1	2	yes	—
361	#397	C₂³	1	2	yes	—
362	#397	C₂³	1	4	yes	—
363	#397	C₂³	1	4	yes	—
364	#397	C₂³	1	2	yes	—
365	#397	C₂³	1	4	yes	—
366	#397	C₂³	1	2	yes	—
367	#397	C₂³	1	4	yes	—
368	#397	C₂³	1	4	yes	—
369	#397	C₂³	1	4	yes	—
370	#397	C₂³	1	4	yes	—
371	#397	C₂³	1	4	yes	complemented
372	#397	C₂³	1	4	yes	complemented
373	#397	C₂³	1	4	yes	complemented
374	#397	C₂³	1	4	yes	complemented
375	#397	C₂³	1	4	yes	complemented
376	#397	C₂³	1	4	yes	complemented
377	#397	C₂³	1	4	yes	complemented
378	#397	C₂³	1	4	yes	complemented
379	#397	C₂³	1	2	yes	complemented
380	#397	C₂³	1	4	yes	complemented
381	#397	C₂³	1	4	yes	complemented
382	#397	C₂³	1	2	yes	complemented
383	#397	C₂³	1	2	yes	complemented
384	#396	C₂³	1	4	yes	—
385	#396	C₂³	1	4	yes	—
386	#396	C₂³	1	4	yes	—
387	#396	C₂³	1	4	yes	—
388	#396	C₂³	1	4	yes	—
389	#396	C₂³	1	4	yes	complemented
390	#396	C₂³	1	4	yes	complemented
391	#396	C₂³	1	4	yes	complemented
392	#395	C₂³	1	4	yes	complemented
393	#395	C₂³	1	4	yes	complemented
394	#395	C₂³	1	4	yes	complemented
395	#395	C₂³	1	4	yes	complemented
396	#394	C₂³	1	4	yes	—
397	#394	C₂³	1	4	yes	—
398	#394	C₂³	1	4	yes	—
399	#394	C₂³	1	4	yes	—
400	#394	C₂³	1	4	yes	—
401	#394	C₂³	1	4	yes	—
402	#394	C₂³	1	4	yes	—
403	#394	C₂³	1	4	yes	—
404	#394	C₂³	1	4	yes	—
405	#394	C₂³	1	4	yes	—
406	#394	C₂³	1	4	yes	—
407	#394	C₂³	1	4	yes	—
408	#394	C₂³	1	4	yes	—
409	#394	C₂³	1	4	yes	—
410	#394	C₂³	1	4	yes	—
411	#394	C₂³	1	4	yes	—
412	#394	C₂³	1	4	yes	—
413	#394	C₂³	1	4	yes	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	2	yes	complemented
419	#394	C₂³	1	4	yes	complemented
420	#393	C₂³	1	4	yes	—
421	#393	C₂³	1	4	yes	—
422	#393	C₂³	1	2	yes	—
423	#393	C₂³	1	4	yes	complemented
424	#393	C₂³	1	4	yes	complemented
425	#393	C₂³	1	4	yes	complemented
426	#392	C₂³	1	4	yes	—
427	#392	C₂³	1	4	yes	—
428	#392	C₂³	1	4	yes	—
429	#392	C₂³	1	4	yes	—
430	#392	C₂³	1	4	yes	—
431	#392	C₂³	1	2	yes	—
432	#392	C₂³	1	2	yes	—
433	#392	C₂³	1	2	yes	—
434	#392	C₂³	1	4	yes	complemented
435	#392	C₂³	1	2	yes	complemented
436	#392	C₂³	1	4	yes	complemented
437	#391	C₂³	1	4	yes	complemented
438	#390	C₂³	1	4	yes	—
439	#390	C₂³	1	4	yes	—
440	#390	C₂³	1	4	yes	—
441	#390	C₂³	1	4	yes	—
442	#390	C₂³	1	4	yes	—
443	#390	C₂³	1	4	yes	—
444	#390	C₂³	1	4	yes	—
445	#390	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	#388	C₂³	1	4	yes	—
452	#388	C₂³	1	4	yes	—
453	#388	C₂³	1	4	yes	—
454	#388	C₂³	1	4	yes	—
455	#388	C₂³	1	4	yes	—
456	#388	C₂³	1	4	yes	—
457	#388	C₂³	1	4	yes	—
458	#388	C₂³	1	4	yes	—
459	#388	C₂³	1	4	yes	—
460	#388	C₂³	1	4	yes	—
461	#388	C₂³	1	4	yes	—
462	#388	C₂³	1	4	yes	—
463	#388	C₂³	1	4	yes	complemented
464	#388	C₂³	1	4	yes	complemented
465	#388	C₂³	1	4	yes	complemented
466	#388	C₂³	1	4	yes	complemented
467	#388	C₂³	1	4	yes	complemented
468	#388	C₂³	1	4	yes	complemented
469	#388	C₂³	1	4	yes	complemented
470	#388	C₂³	1	4	yes	complemented
471	#388	C₂³	1	4	yes	complemented
472	#388	C₂³	1	4	yes	complemented
473	#388	C₂³	1	4	yes	complemented
474	#388	C₂³	1	4	yes	complemented
475	#388	C₂³	1	4	yes	complemented
476	#388	C₂³	1	4	yes	complemented
477	#388	C₂³	1	4	yes	complemented
478	#387	C₂³	1	4	yes	complemented
479	#387	C₂³	1	4	yes	complemented
480	#387	C₂³	1	4	yes	complemented
481	#387	C₂³	1	4	yes	complemented
482	#387	C₂³	1	4	yes	complemented
483	#387	C₂³	1	4	yes	complemented
484	#387	C₂³	1	4	yes	complemented
485	#387	C₂³	1	4	yes	complemented
486	#387	C₂³	1	4	yes	complemented
487	#387	C₂³	1	4	yes	complemented
488	#387	C₂³	1	4	yes	complemented
489	#387	C₂³	1	4	yes	complemented
490	#387	C₂³	1	4	yes	complemented
491	#387	C₂³	1	4	yes	complemented
492	#387	C₂³	1	4	yes	complemented
493	#387	C₂³	1	4	yes	complemented
494	#387	C₂³	1	4	yes	complemented
495	#386	C₂³	1	4	yes	—
496	#386	C₂³	1	4	yes	—
497	#386	C₂³	1	4	yes	—
498	#386	C₂³	1	4	yes	—
499	#386	C₂³	1	4	yes	—
500	#386	C₂³	1	4	yes	—
501	#386	C₂³	1	4	yes	—
502	#386	C₂³	1	4	yes	—
503	#386	C₂³	1	4	yes	—
504	#386	C₂³	1	4	yes	—
505	#386	C₂³	1	4	yes	—
506	#386	C₂³	1	4	yes	—
507	#386	C₂³	1	4	yes	—
508	#386	C₂³	1	2	yes	—
509	#386	C₂³	1	4	yes	—
510	#386	C₂³	1	4	yes	—
511	#386	C₂³	1	4	yes	—
512	#386	C₂³	1	4	yes	—
513	#386	C₂³	1	4	yes	—
514	#386	C₂³	1	4	yes	—
515	#386	C₂³	1	4	yes	—
516	#386	C₂³	1	4	yes	—
517	#386	C₂³	1	4	yes	—
518	#386	C₂³	1	4	yes	—
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	2	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	4	yes	complemented
530	#386	C₂³	1	4	yes	complemented
531	#386	C₂³	1	4	yes	complemented
532	#386	C₂³	1	4	yes	complemented
533	#386	C₂³	1	4	yes	complemented
534	#386	C₂³	1	4	yes	complemented
535	#386	C₂³	1	4	yes	complemented
536	#386	C₂³	1	4	yes	complemented
537	#385	C₂³	1	4	yes	—
538	#385	C₂³	1	4	yes	—
539	#385	C₂³	1	4	yes	—
540	#385	C₂³	1	4	yes	—
541	#385	C₂³	1	4	yes	—
542	#385	C₂³	1	4	yes	—
543	#385	C₂³	1	4	yes	—
544	#385	C₂³	1	4	yes	—
545	#385	C₂³	1	4	yes	—
546	#385	C₂³	1	2	yes	—
547	#385	C₂³	1	4	yes	—
548	#385	C₂³	1	4	yes	—
549	#385	C₂³	1	4	yes	—
550	#385	C₂³	1	4	yes	—
551	#385	C₂³	1	4	yes	—
552	#385	C₂³	1	2	yes	—
553	#385	C₂³	1	4	yes	—
554	#385	C₂³	1	4	yes	complemented
555	#385	C₂³	1	4	yes	complemented
556	#385	C₂³	1	4	yes	complemented
557	#385	C₂³	1	4	yes	complemented
558	#385	C₂³	1	4	yes	complemented
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	4	yes	complemented
564	#383	C₂³	1	2	yes	complemented
565	#383	C₂³	1	4	yes	complemented
566	#383	C₂³	1	4	yes	complemented
567	#382	C₂³	1	4	yes	complemented
568	#381	C₂³	1	2	yes	—
569	#381	C₂³	1	2	yes	—
570	#381	C₂³	1	4	yes	—
571	#381	C₂³	1	4	yes	—
572	#381	C₂³	1	4	yes	complemented
573	#381	C₂³	1	2	yes	complemented
574	#381	C₂³	1	4	yes	complemented
575	#380	C₂³	1	4	yes	—
576	#380	C₂³	1	2	yes	—
577	#380	C₂³	1	2	yes	—
578	#380	C₂³	1	1	yes	characteristic
579	#380	C₂³	1	1	yes	characteristic
580	#380	C₂³	1	2	yes	—
581	#380	C₂³	1	4	yes	—
582	#380	C₂³	1	4	yes	—
583	#380	C₂³	1	4	yes	—
584	#380	C₂³	1	2	yes	—
585	#380	C₂³	1	4	yes	—
586	#380	C₂³	1	2	yes	—
587	#380	C₂³	1	2	yes	—
588	#380	C₂³	1	4	yes	—
589	#380	C₂³	1	4	yes	complemented
590	#380	C₂³	1	4	yes	complemented
591	#379	C₂³	1	2	yes	—
592	#379	C₂³	1	2	yes	—
593	#379	C₂³	1	2	yes	—
594	#379	C₂³	1	2	yes	—
595	#379	C₂³	1	2	yes	—
596	#379	C₂³	1	4	yes	—
597	#379	C₂³	1	4	yes	—
598	#379	C₂³	1	4	yes	—
599	#379	C₂³	1	4	yes	—
600	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
601	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
602	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
603	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
604	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
605	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
606	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
607	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
609	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
610	#376	C₂³	1	2	yes	complemented
611	C₂×#95	C₂³	1	4	yes	—
612	C₂×#95	C₂³	1	4	yes	—
613	C₂×#95	C₂³	1	2	yes	—
614	C₂×#95	C₂³	1	4	yes	—
615	C₂×#95	C₂³	1	2	yes	—
616	C₂×#95	C₂³	1	2	yes	—
617	C₂×#95	C₂³	1	2	yes	—
618	C₂×#95	C₂³	1	4	yes	—
619	C₂×#95	C₂³	1	2	yes	—
620	C₂×#95	C₂³	1	4	yes	—
621	C₂×#95	C₂³	1	4	yes	—
622	C₂×#95	C₂³	1	2	yes	—
623	C₂⁵	—	2	4	no	—
624	C₂⁵	—	2	4	no	—
625	C₂⁵	—	4	2	no	—
626	C₂⁵	—	4	4	no	—
627	C₂⁵	—	4	4	no	—
628	C₂⁵	C₂⁴	1	1	yes	characteristic
629	C₂⁵	C₂⁴	1	4	yes	—
630	C₂⁵	C₂⁴	1	1	yes	characteristic
631	C₂⁵	C₂⁴	1	1	yes	characteristic
632	C₂⁵	C₂⁴	1	2	yes	—
633	C₂×#41	—	4	8	no	—
634	C₂×#41	—	4	8	no	—
635	C₂×#41	—	4	8	no	—
636	C₂²×Q₈	C₂⁴	1	4	yes	—
637	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
638	C₂²×D₄	—	2	8	no	—
639	C₂²×D₄	—	4	8	no	—
640	C₂²×D₄	—	4	4	no	—
641	C₂²×D₄	—	4	4	no	—
642	C₂²×D₄	—	4	8	no	—
643	C₂²×D₄	—	4	8	no	—
644	C₂²×D₄	C₂⁴	1	4	yes	—
645	C₂²×D₄	C₂⁴	1	4	yes	—
646	C₂²×D₄	C₂⁴	1	4	yes	—
647	C₂²×D₄	C₂⁴	1	2	yes	—
648	C₂²×D₄	C₂⁴	1	4	yes	—
649	C₂²×D₄	C₂⁴	1	4	yes	—
650	C₂²×D₄	C₂⁴	1	2	yes	—
651	C₂²×D₄	C₂⁴	1	4	yes	—
652	C₂²×D₄	C₂⁴	1	2	yes	—
653	C₂²×D₄	C₂⁴	1	2	yes	—
654	C₂²×D₄	C₂⁴	1	2	yes	—
655	C₂²×D₄	C₂⁴	1	4	yes	—
656	C₂²×D₄	C₂⁴	1	4	yes	—
657	C₂²×D₄	C₂⁴	1	4	yes	—
658	C₂²×D₄	C₂⁴	1	4	yes	—
659	C₂²×D₄	C₂⁴	1	1	yes	characteristic
660	C₂³×C₄	—	2	8	no	—
661	C₂³×C₄	—	2	4	no	—
662	C₂³×C₄	—	4	4	no	—
663	C₂³×C₄	—	4	4	no	—
664	C₂³×C₄	—	4	4	no	—
665	C₂³×C₄	—	4	2	no	—
666	C₂³×C₄	—	4	4	no	—
667	C₂³×C₄	—	4	4	no	—
668	C₂³×C₄	—	4	4	no	—
669	C₂³×C₄	—	4	4	no	—
670	C₂³×C₄	C₂⁴	1	4	yes	—
671	C₂³×C₄	C₂⁴	1	4	yes	—
672	C₂³×C₄	C₂⁴	1	2	yes	—
673	C₂³×C₄	C₂⁴	1	4	yes	—
674	C₂³×C₄	C₂⁴	1	2	yes	—
675	C₂³×C₄	C₂⁴	1	1	yes	characteristic
676	C₂³×C₄	C₂⁴	1	2	yes	—
677	C₂³×C₄	C₂⁴	1	2	yes	—
678	C₂³×C₄	C₂⁴	1	4	yes	—
679	C₂³×C₄	C₂⁴	1	4	yes	—
680	C₂³×C₄	C₂⁴	1	1	yes	characteristic
681	C₂³×C₄	C₂⁴	1	2	yes	—
682	C₂³×C₄	C₂⁴	1	2	yes	—
683	C₂³×C₄	C₂⁴	1	1	yes	characteristic
684	C₂³×C₄	C₂⁴	1	2	yes	—
685	C₂³×C₄	C₂⁴	1	2	yes	—
686	C₂³×C₄	C₂⁴	1	4	yes	—
687	C₂³×C₄	C₂⁴	1	4	yes	—
688	C₂³×C₄	C₂⁴	1	4	yes	—
689	C₂³×C₄	C₂⁴	1	4	yes	—
690	C₂³×C₄	C₂⁴	1	1	yes	characteristic
691	C₄⋊Q₈	—	4	4	no	—
692	#126	—	4	4	no	—
693	#124	—	4	4	no	—
694	#124	—	4	8	no	—
695	#123	—	4	8	no	—
696	#123	—	4	8	no	—
697	#123	—	4	8	no	—
698	#123	—	4	4	no	—
699	#123	—	4	8	no	—
700	#123	—	4	8	no	—
701	#123	—	4	8	no	—
702	#123	—	4	8	no	—
703	C₂²⋊Q₈	—	4	4	no	—
704	C₂²⋊Q₈	—	4	8	no	—
705	C₂²⋊Q₈	—	4	8	no	—
706	C₂²⋊Q₈	—	4	2	no	—
707	C₂²⋊Q₈	—	4	8	no	—
708	C₂²⋊Q₈	—	4	8	no	—
709	#121	—	2	8	no	—
710	#121	—	4	4	no	—
711	#121	—	4	8	no	—
712	#121	—	4	8	no	—
713	#121	—	4	4	no	—
714	#121	—	4	8	no	—
715	#121	—	4	8	no	—
716	#121	—	4	8	no	—
717	#121	—	4	4	no	—
718	#121	—	4	4	no	—
719	#121	—	4	4	no	—
720	#121	—	4	8	no	—
721	#121	—	4	8	no	—
722	#121	—	4	4	no	—
723	#121	—	4	2	no	—
724	#121	—	4	8	no	—
725	#120	—	2	16	no	—
726	#120	—	2	8	no	—
727	#120	—	2	8	no	—
728	#120	—	4	8	no	—
729	#120	—	4	8	no	—
730	#120	—	4	8	no	—
731	#120	—	4	8	no	—
732	#120	—	4	8	no	—
733	#120	—	4	8	no	—
734	#120	—	4	4	no	—
735	#120	—	4	8	no	—
736	C₄×D₄	—	2	8	no	—
737	C₄×D₄	—	4	4	no	—
738	C₄×D₄	—	4	8	no	—
739	C₄×D₄	—	4	8	no	—
740	C₄×D₄	—	4	8	no	—
741	C₄×D₄	—	4	8	no	—
742	C₄×D₄	—	4	8	no	—
743	C₄×D₄	—	4	8	no	—
744	C₄×D₄	—	4	8	no	—
745	C₄×D₄	—	4	8	no	—
746	C₄×D₄	—	4	8	no	—
747	#117	—	4	8	no	—
748	C₂×C₄⋊C₄	—	2	8	no	—
749	C₂×C₄⋊C₄	—	4	8	no	—
750	C₂×C₄⋊C₄	—	4	8	no	—
751	C₂×C₄⋊C₄	—	4	4	no	—
752	C₂×C₄⋊C₄	—	4	4	no	—
753	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
754	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
755	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
756	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
757	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
758	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
759	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
760	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
761	C₂×C₄⋊C₄	C₂⁴	1	4	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	4	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	2	yes	—
777	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
779	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
780	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
781	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
782	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
783	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
784	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
785	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
786	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
787	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₂²⋊C₄	—	2	16	no	—
789	C₂×C₂²⋊C₄	—	2	4	no	—
790	C₂×C₂²⋊C₄	—	2	4	no	—
791	C₂×C₂²⋊C₄	—	4	8	no	—
792	C₂×C₂²⋊C₄	—	4	8	no	—
793	C₂×C₂²⋊C₄	—	4	8	no	—
794	C₂×C₂²⋊C₄	—	4	8	no	—
795	C₂×C₂²⋊C₄	—	4	8	no	—
796	C₂×C₂²⋊C₄	—	4	8	no	—
797	C₂×C₂²⋊C₄	—	4	4	no	—
798	C₂×C₂²⋊C₄	—	4	8	no	—
799	C₂×C₂²⋊C₄	—	4	8	no	—
800	C₂×C₂²⋊C₄	—	4	8	no	—
801	C₂×C₂²⋊C₄	—	4	2	no	—
802	C₂×C₂²⋊C₄	—	4	2	no	—
803	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	4	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	2	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
814	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
819	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	4	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	2	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₄²	C₂⁴	1	2	yes	—
865	C₂×C₄²	C₂⁴	1	4	yes	—
866	C₂×C₄²	C₂⁴	1	4	yes	—
867	C₂×C₄²	C₂⁴	1	4	yes	—
868	C₂×C₄²	C₂⁴	1	4	yes	—
869	C₂×C₄²	C₂⁴	1	4	yes	—
870	C₂×C₄²	C₂⁴	1	4	yes	—
871	#95	C₂⁴	1	2	yes	—
872	#95	C₂⁴	1	4	yes	—
873	#95	C₂⁴	1	2	yes	—
874	#95	C₂⁴	1	4	yes	—
875	#95	C₂⁴	1	2	yes	—
876	#95	C₂⁴	1	4	yes	—
877	#95	C₂⁴	1	4	yes	—
878	#95	C₂⁴	1	4	yes	—
879	#95	C₂⁴	1	4	yes	—
880	#95	C₂⁴	1	4	yes	—
881	#95	C₂⁴	1	4	yes	—
882	#95	C₂⁴	1	4	yes	—
883	#95	C₂⁴	1	4	yes	—
884	#95	C₂⁴	1	2	yes	—
885	#95	C₂⁴	1	4	yes	—
886	#95	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	2	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	2	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	2	yes	—
916	#95	C₂⁴	1	4	yes	—
917	#95	C₂⁴	1	4	yes	—
918	#95	C₂⁴	1	4	yes	—
919	C₂⁴	—	2	2	no	—
920	C₂⁴	—	2	2	no	—
921	C₂⁴	—	2	4	no	—
922	C₂⁴	—	2	4	no	—
923	C₂⁴	—	2	2	no	—
924	C₂⁴	—	2	2	no	—
925	C₂⁴	—	2	8	no	—
926	C₂⁴	—	2	2	no	—
927	C₂⁴	—	2	8	no	—
928	C₂⁴	—	2	8	no	—
929	C₂⁴	—	2	8	no	—
930	C₂⁴	—	2	2	no	—
931	C₂⁴	—	2	2	no	—
932	C₂⁴	—	2	4	no	—
933	C₂⁴	—	4	4	no	—
934	C₂⁴	—	4	2	no	—
935	C₂⁴	—	4	2	no	—
936	C₂⁴	—	4	4	no	—
937	C₂⁴	—	4	4	no	—
938	C₂⁴	—	4	2	no	—
939	C₂⁴	—	4	2	no	—
940	C₂⁴	—	4	2	no	—
941	C₂⁴	—	4	4	no	—
942	C₂⁴	—	4	4	no	—
943	C₂⁴	—	4	2	no	—
944	C₂⁴	—	4	16	no	—
945	C₂⁴	—	4	32	no	—
946	C₂⁴	—	8	16	no	—
947	C₂⁴	—	8	8	no	—
948	C₂⁴	—	8	8	no	—
949	C₂⁴	H(5,𝔽₂)	1	4	yes	—
950	C₂⁴	H(5,𝔽₂)	1	4	yes	—
951	C₂⁴	C₂⁵	1	2	yes	—
952	C₂⁴	C₂⁵	1	4	yes	—
953	C₂⁴	C₂⁵	1	2	yes	—
954	C₂⁴	C₂⁵	1	2	yes	—
955	C₂⁴	C₂⁵	1	1	yes	characteristic
956	C₂⁴	C₂⁵	1	2	yes	—
957	#41	—	8	32	no	—
958	C₂×Q₈	—	4	4	no	—
959	C₂×Q₈	—	4	4	no	—
960	C₂×Q₈	—	4	4	no	—
961	C₂×Q₈	—	4	1	no	—
962	C₂×Q₈	—	4	2	no	—
963	C₂×D₄	—	2	4	no	—
964	C₂×D₄	—	2	8	no	—
965	C₂×D₄	—	2	8	no	—
966	C₂×D₄	—	2	8	no	—
967	C₂×D₄	—	2	8	no	—
968	C₂×D₄	—	2	8	no	—
969	C₂×D₄	—	2	4	no	—
970	C₂×D₄	—	2	4	no	—
971	C₂×D₄	—	2	8	no	—
972	C₂×D₄	—	2	8	no	—
973	C₂×D₄	—	2	8	no	—
974	C₂×D₄	—	2	8	no	—
975	C₂×D₄	—	2	8	no	—
976	C₂×D₄	—	2	8	no	—
977	C₂×D₄	—	2	8	no	—
978	C₂×D₄	—	2	8	no	—
979	C₂×D₄	—	2	8	no	—
980	C₂×D₄	—	2	4	no	—
981	C₂×D₄	—	4	4	no	—
982	C₂×D₄	—	4	4	no	—
983	C₂×D₄	—	4	4	no	—
984	C₂×D₄	—	4	4	no	—
985	C₂×D₄	—	4	4	no	—
986	C₂×D₄	—	4	4	no	—
987	C₂×D₄	—	4	4	no	—
988	C₂×D₄	—	4	4	no	—
989	C₂×D₄	—	4	4	no	—
990	C₂×D₄	—	4	4	no	—
991	C₂×D₄	—	4	4	no	—
992	C₂×D₄	—	4	4	no	—
993	C₂×D₄	—	4	4	no	—
994	C₂×D₄	—	4	4	no	—
995	C₂×D₄	—	4	2	no	—
996	C₂×D₄	—	4	4	no	—
997	C₂×D₄	—	4	2	no	—
998	C₂×D₄	—	4	2	no	—
999	C₂×D₄	—	4	4	no	—
1000	C₂×D₄	—	4	4	no	—
1001	C₂×D₄	—	4	1	no	—
1002	C₂×D₄	—	4	4	no	—
1003	C₂×D₄	—	4	2	no	—
1004	C₂×D₄	—	4	2	no	—
1005	C₂×D₄	—	4	4	no	—
1006	C₂×D₄	—	4	2	no	—
1007	C₂×D₄	—	8	16	no	—
1008	C₂×D₄	—	8	32	no	—
1009	C₂²×C₄	—	2	8	no	—
1010	C₂²×C₄	—	2	2	no	—
1011	C₂²×C₄	—	2	8	no	—
1012	C₂²×C₄	—	2	8	no	—
1013	C₂²×C₄	—	2	8	no	—
1014	C₂²×C₄	—	2	8	no	—
1015	C₂²×C₄	—	2	2	no	—
1016	C₂²×C₄	—	2	2	no	—
1017	C₂²×C₄	—	2	4	no	—
1018	C₂²×C₄	—	2	8	no	—
1019	C₂²×C₄	—	2	4	no	—
1020	C₂²×C₄	—	2	4	no	—
1021	C₂²×C₄	—	2	4	no	—
1022	C₂²×C₄	—	2	8	no	—
1023	C₂²×C₄	—	2	4	no	—
1024	C₂²×C₄	—	2	4	no	—
1025	C₂²×C₄	—	2	4	no	—
1026	C₂²×C₄	—	2	8	no	—
1027	C₂²×C₄	—	2	4	no	—
1028	C₂²×C₄	—	4	2	no	—
1029	C₂²×C₄	—	4	4	no	—
1030	C₂²×C₄	—	4	2	no	—
1031	C₂²×C₄	—	4	2	no	—
1032	C₂²×C₄	—	4	4	no	—
1033	C₂²×C₄	—	4	2	no	—
1034	C₂²×C₄	—	4	2	no	—
1035	C₂²×C₄	—	4	2	no	—
1036	C₂²×C₄	—	4	2	no	—
1037	C₂²×C₄	—	4	4	no	—
1038	C₂²×C₄	—	4	2	no	—
1039	C₂²×C₄	—	4	4	no	—
1040	C₂²×C₄	—	4	2	no	—
1041	C₂²×C₄	—	4	4	no	—
1042	C₂²×C₄	—	4	2	no	—
1043	C₂²×C₄	—	4	4	no	—
1044	C₂²×C₄	—	4	2	no	—
1045	C₂²×C₄	—	4	4	no	—
1046	C₂²×C₄	—	4	4	no	—
1047	C₂²×C₄	—	4	4	no	—
1048	C₂²×C₄	—	4	4	no	—
1049	C₂²×C₄	—	4	4	no	—
1050	C₂²×C₄	—	4	4	no	—
1051	C₂²×C₄	—	4	2	no	—
1052	C₂²×C₄	—	4	2	no	—
1053	C₂²×C₄	—	4	4	no	—
1054	C₂²×C₄	—	4	4	no	—
1055	C₂²×C₄	—	4	4	no	—
1056	C₂²×C₄	—	4	2	no	—
1057	C₂²×C₄	—	4	2	no	—
1058	C₂²×C₄	—	4	2	no	—
1059	C₂²×C₄	—	4	2	no	—
1060	C₂²×C₄	—	4	2	no	—
1061	C₂²×C₄	—	4	4	no	—
1062	C₂²×C₄	—	4	4	no	—
1063	C₂²×C₄	—	4	4	no	—
1064	C₂²×C₄	—	4	4	no	—
1065	C₂²×C₄	—	4	4	no	—
1066	C₂²×C₄	—	4	16	no	—
1067	C₂²×C₄	—	8	16	no	—
1068	C₂²×C₄	—	8	16	no	—
1069	C₂²×C₄	—	8	8	no	—
1070	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1071	C₂²×C₄	C₂⁵	1	4	yes	—
1072	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1073	C₂²×C₄	C₂⁵	1	2	yes	—
1074	C₂²×C₄	C₂⁵	1	4	yes	—
1075	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1076	C₂²×C₄	C₂⁵	1	4	yes	—
1077	C₂²×C₄	C₂⁵	1	4	yes	—
1078	C₂²×C₄	C₂⁵	1	2	yes	—
1079	C₂²×C₄	C₂⁵	1	2	yes	—
1080	C₂²×C₄	C₂⁵	1	4	yes	—
1081	C₂²×C₄	C₂⁵	1	2	yes	—
1082	C₂²×C₄	C₂⁵	1	4	yes	—
1083	C₂²×C₄	C₂⁵	1	4	yes	—
1084	C₂²×C₄	C₂⁵	1	2	yes	—
1085	C₂²×C₄	C₂⁵	1	4	yes	—
1086	C₂²×C₄	C₂⁵	1	4	yes	—
1087	C₂²×C₄	C₂⁵	1	2	yes	—
1088	C₄⋊C₄	—	2	4	no	—
1089	C₄⋊C₄	—	2	4	no	—
1090	C₄⋊C₄	—	2	8	no	—
1091	C₄⋊C₄	—	2	4	no	—
1092	C₄⋊C₄	—	2	4	no	—
1093	C₄⋊C₄	—	4	2	no	—
1094	C₄⋊C₄	—	4	4	no	—
1095	C₄⋊C₄	—	4	2	no	—
1096	C₄⋊C₄	—	4	4	no	—
1097	C₄⋊C₄	—	4	4	no	—
1098	C₄⋊C₄	—	4	4	no	—
1099	C₄⋊C₄	—	4	4	no	—
1100	C₄⋊C₄	—	4	4	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	2	no	—
1111	C₄⋊C₄	—	4	2	no	—
1112	C₄⋊C₄	—	4	4	no	—
1113	C₄⋊C₄	—	4	2	no	—
1114	C₄⋊C₄	—	4	4	no	—
1115	C₄⋊C₄	—	4	4	no	—
1116	C₄⋊C₄	—	4	2	no	—
1117	C₄⋊C₄	—	4	2	no	—
1118	C₄⋊C₄	—	4	1	no	—
1119	C₄⋊C₄	—	4	4	no	—
1120	C₄⋊C₄	—	4	2	no	—
1121	C₄⋊C₄	—	4	1	no	—
1122	C₄⋊C₄	—	4	4	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	4	no	—
1132	C₂²⋊C₄	—	2	4	no	—
1133	C₂²⋊C₄	—	2	8	no	—
1134	C₂²⋊C₄	—	2	4	no	—
1135	C₂²⋊C₄	—	2	8	no	—
1136	C₂²⋊C₄	—	2	8	no	—
1137	C₂²⋊C₄	—	2	8	no	—
1138	C₂²⋊C₄	—	2	4	no	—
1139	C₂²⋊C₄	—	2	4	no	—
1140	C₂²⋊C₄	—	2	4	no	—
1141	C₂²⋊C₄	—	2	8	no	—
1142	C₂²⋊C₄	—	4	4	no	—
1143	C₂²⋊C₄	—	4	4	no	—
1144	C₂²⋊C₄	—	4	4	no	—
1145	C₂²⋊C₄	—	4	2	no	—
1146	C₂²⋊C₄	—	4	4	no	—
1147	C₂²⋊C₄	—	4	4	no	—
1148	C₂²⋊C₄	—	4	2	no	—
1149	C₂²⋊C₄	—	4	2	no	—
1150	C₂²⋊C₄	—	4	2	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	4	no	—
1176	C₂²⋊C₄	—	4	4	no	—
1177	C₂²⋊C₄	—	4	4	no	—
1178	C₂²⋊C₄	—	4	4	no	—
1179	C₂²⋊C₄	—	4	4	no	—
1180	C₂²⋊C₄	—	4	4	no	—
1181	C₂²⋊C₄	—	4	4	no	—
1182	C₂²⋊C₄	—	4	4	no	—
1183	C₂²⋊C₄	—	4	2	no	—
1184	C₄²	—	2	4	no	—
1185	C₄²	—	4	4	no	—
1186	C₄²	—	4	4	no	—
1187	C₄²	—	4	4	no	—
1188	C₄²	—	4	4	no	—
1189	C₄²	—	4	4	no	—
1190	C₄²	—	4	4	no	—
1191	C₂³	—	2	8	no	—
1192	C₂³	—	2	16	no	—
1193	C₂³	—	2	8	no	—
1194	C₂³	—	2	2	no	—
1195	C₂³	—	2	2	no	—
1196	C₂³	—	2	2	no	—
1197	C₂³	—	2	2	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	8	no	—
1201	C₂³	—	2	16	no	—
1202	C₂³	—	2	2	no	—
1203	C₂³	—	2	2	no	—
1204	C₂³	—	2	4	no	—
1205	C₂³	—	2	4	no	—
1206	C₂³	—	2	8	no	—
1207	C₂³	—	2	2	no	—
1208	C₂³	—	2	4	no	—
1209	C₂³	—	2	2	no	—
1210	C₂³	—	2	2	no	—
1211	C₂³	—	2	2	no	—
1212	C₂³	—	2	4	no	—
1213	C₂³	—	2	2	no	—
1214	C₂³	—	2	2	no	—
1215	C₂³	—	2	4	no	—
1216	C₂³	—	2	4	no	—
1217	C₂³	—	2	4	no	—
1218	C₂³	—	2	4	no	—
1219	C₂³	—	2	4	no	—
1220	C₂³	—	2	4	no	—
1221	C₂³	—	2	4	no	—
1222	C₂³	—	2	4	no	—
1223	C₂³	—	2	4	no	—
1224	C₂³	—	4	8	no	—
1225	C₂³	—	4	16	no	—
1226	C₂³	—	4	16	no	—
1227	C₂³	—	4	16	no	—
1228	C₂³	—	4	8	no	—
1229	C₂³	—	4	4	no	—
1230	C₂³	—	4	16	no	—
1231	C₂³	—	8	4	no	—
1232	C₂³	—	8	8	no	—
1233	C₂³	—	8	4	no	—
1234	C₂³	—	8	2	no	—
1235	C₂³	—	8	2	no	—
1236	C₂³	—	8	8	no	—
1237	C₂³	—	8	2	no	—
1238	C₂³	—	8	2	no	—
1239	C₂³	—	8	8	no	—
1240	C₂³	—	8	4	no	—
1241	C₂³	—	8	8	no	—
1242	C₂³	—	8	64	no	—
1243	C₂³	—	8	8	no	—
1244	C₂³	—	16	2	no	—
1245	C₂³	—	16	2	no	—
1246	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1247	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1248	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1249	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1250	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1251	C₂³	#585	1	4	yes	—
1252	C₂³	#585	1	4	yes	—
1253	C₂³	C₂⁶	1	1	yes	characteristic
1254	Q₈	—	8	8	no	—
1255	Q₈	—	16	1	no	—
1256	D₄	—	4	16	no	—
1257	D₄	—	4	8	no	—
1258	D₄	—	4	16	no	—
1259	D₄	—	4	16	no	—
1260	D₄	—	4	16	no	—
1261	D₄	—	8	4	no	—
1262	D₄	—	8	8	no	—
1263	D₄	—	8	8	no	—
1264	D₄	—	8	8	no	—
1265	D₄	—	8	8	no	—
1266	D₄	—	8	8	no	—
1267	D₄	—	16	4	no	—
1268	D₄	—	16	2	no	—
1269	D₄	—	16	1	no	—
1270	D₄	—	16	2	no	—
1271	D₄	—	16	2	no	—
1272	C₂×C₄	—	2	4	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	4	no	—
1276	C₂×C₄	—	2	4	no	—
1277	C₂×C₄	—	2	4	no	—
1278	C₂×C₄	—	2	4	no	—
1279	C₂×C₄	—	2	4	no	—
1280	C₂×C₄	—	2	4	no	—
1281	C₂×C₄	—	2	4	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	4	no	—
1285	C₂×C₄	—	2	4	no	—
1286	C₂×C₄	—	2	4	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	4	no	—
1289	C₂×C₄	—	2	2	no	—
1290	C₂×C₄	—	2	2	no	—
1291	C₂×C₄	—	2	2	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	4	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	4	no	—
1300	C₂×C₄	—	2	4	no	—
1301	C₂×C₄	—	2	4	no	—
1302	C₂×C₄	—	2	4	no	—
1303	C₂×C₄	—	2	4	no	—
1304	C₂×C₄	—	2	4	no	—
1305	C₂×C₄	—	2	4	no	—
1306	C₂×C₄	—	2	4	no	—
1307	C₂×C₄	—	2	4	no	—
1308	C₂×C₄	—	2	4	no	—
1309	C₂×C₄	—	2	4	no	—
1310	C₂×C₄	—	2	4	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	4	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	4	4	no	—
1317	C₂×C₄	—	4	16	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	—	4	16	no	—
1320	C₂×C₄	—	8	4	no	—
1321	C₂×C₄	—	8	4	no	—
1322	C₂×C₄	—	8	8	no	—
1323	C₂×C₄	—	8	4	no	—
1324	C₂×C₄	—	8	4	no	—
1325	C₂×C₄	—	8	8	no	—
1326	C₂×C₄	—	8	8	no	—
1327	C₂×C₄	—	8	4	no	—
1328	C₂×C₄	—	8	2	no	—
1329	C₂×C₄	—	8	4	no	—
1330	C₂×C₄	—	8	2	no	—
1331	C₂×C₄	—	8	4	no	—
1332	C₂×C₄	—	8	4	no	—
1333	C₂×C₄	—	8	8	no	—
1334	C₂×C₄	—	8	8	no	—
1335	C₂×C₄	—	8	8	no	—
1336	C₂×C₄	—	16	4	no	—
1337	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1338	C₂²	—	2	32	no	—
1339	C₂²	—	2	4	no	—
1340	C₂²	—	2	4	no	—
1341	C₂²	—	2	4	no	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	4	no	—
1344	C₂²	—	2	4	no	—
1345	C₂²	—	2	4	no	—
1346	C₂²	—	2	4	no	—
1347	C₂²	—	2	2	no	—
1348	C₂²	—	2	4	no	—
1349	C₂²	—	2	4	no	—
1350	C₂²	—	2	8	no	—
1351	C₂²	—	4	4	no	—
1352	C₂²	—	4	2	no	—
1353	C₂²	—	4	2	no	—
1354	C₂²	—	4	2	no	—
1355	C₂²	—	4	4	no	—
1356	C₂²	—	4	2	no	—
1357	C₂²	—	4	4	no	—
1358	C₂²	—	4	4	no	—
1359	C₂²	—	4	4	no	—
1360	C₂²	—	4	4	no	—
1361	C₂²	—	4	2	no	—
1362	C₂²	—	4	4	no	—
1363	C₂²	—	4	4	no	—
1364	C₂²	—	4	4	no	—
1365	C₂²	—	4	4	no	—
1366	C₂²	—	4	2	no	—
1367	C₂²	—	4	4	no	—
1368	C₂²	—	4	2	no	—
1369	C₂²	—	4	2	no	—
1370	C₂²	—	4	4	no	—
1371	C₂²	—	8	8	no	—
1372	C₂²	—	8	32	no	—
1373	C₂²	—	8	8	no	—
1374	C₂²	—	16	8	no	—
1375	C₂²	#3537	1	4	yes	—
1376	C₂²	#3560	1	8	yes	—
1377	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1378	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1379	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1380	C₂²	C₂×#585	1	2	yes	—
1381	C₂²	C₂×#585	1	2	yes	—
1382	C₄	—	2	4	no	—
1383	C₄	—	4	4	no	—
1384	C₄	—	4	4	no	—
1385	C₄	—	4	4	no	—
1386	C₄	—	4	2	no	—
1387	C₄	—	4	4	no	—
1388	C₄	—	4	4	no	—
1389	C₄	—	4	4	no	—
1390	C₄	—	4	2	no	—
1391	C₄	—	4	4	no	—
1392	C₄	—	4	4	no	—
1393	C₄	—	4	2	no	—
1394	C₄	—	4	4	no	—
1395	C₄	—	4	2	no	—
1396	C₄	—	4	1	no	—
1397	C₄	—	4	1	no	—
1398	C₄	—	4	2	no	—
1399	C₂	—	2	4	no	—
1400	C₂	—	2	8	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	8	2	no	—
1403	C₂	—	8	2	no	—
1404	C₂	—	8	4	no	—
1405	C₂	C₂×#3537	1	1	yes	characteristic
1406	C₂	C₂×#3560	1	2	yes	—
1407	C₂	#62820	1	1	yes	characteristic
1408	C₂	#62820	1	2	yes	—
1409	C₂	#62824	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #52718	C₂	semidirect
2. #52471	C₂	semidirect
3. #52470	C₂	semidirect
4. #43511	C₂	semidirect
5. #43492	C₂	semidirect
6. #43247	C₂	semidirect
7. #43224	C₂	semidirect
8. #41427	C₂	semidirect
9. #41404	C₂	semidirect
10. #41389	C₂	semidirect
11. #41371	C₂	semidirect
12. #40866	C₂	semidirect
13. #40813	C₂	semidirect
14. #40762	C₂	semidirect
15. #40700	C₂	semidirect
16. #36607	C₂	semidirect
17. #36103	C₂	semidirect
18. #36098	C₂	semidirect
19. #35051	C₂	semidirect
20. #34997	C₂	semidirect
21. #34988	C₂	semidirect
22. #34981	C₂	semidirect
23. C₂²×#397	C₂	semidirect
24. C₂×#547	C₂²	semidirect
26. C₂×#538	C₂²	semidirect
28. C₂×#525	C₂²	semidirect
30. C₂³×C₄⋊C₄	C₂²	semidirect
33. #2849	C₂²	semidirect
34. #2848	C₂²	semidirect
37. #2847	C₂²	semidirect
38. #2847	C₂²	semidirect
40. #2838	C₂²	semidirect
41. #2838	C₂²	semidirect
42. #2837	C₂²	semidirect
43. #2830	C₂²	semidirect
44. #2829	C₂²	semidirect
45. #2828	C₂²	semidirect
46. #2827	C₂²	semidirect
47. #2827	C₂²	semidirect
48. #2826	C₂²	semidirect
49. #2825	C₂²	semidirect
50. #2821	C₂²	semidirect
51. #2817	C₂²	semidirect
52. #2815	C₂²	semidirect
53. #2812	C₂²	semidirect
54. #2803	C₂²	semidirect
55. #2797	C₂²	semidirect
56. #2797	C₂²	semidirect
57. #2796	C₂²	semidirect
58. #2796	C₂²	semidirect
59. #2793	C₂²	semidirect
60. #2793	C₂²	semidirect
61. #2787	C₂²	semidirect
62. #2778	C₂²	semidirect
63. #2771	C₂²	semidirect
64. #2770	C₂²	semidirect
65. #2765	C₂²	semidirect
66. #2764	C₂²	semidirect
67. #2757	C₂²	semidirect
68. #2757	C₂²	semidirect
69. #2752	C₂²	semidirect
70. #2749	C₂²	semidirect
71. #2746	C₂²	semidirect
72. #2737	C₂²	semidirect
73. #2736	C₂²	semidirect
74. #2735	C₂²	semidirect
75. #2735	C₂²	semidirect
76. #2723	C₂²	semidirect
77. #2717	C₂²	semidirect
78. #2710	C₂²	semidirect
79. #2708	C₂²	semidirect
80. #2703	C₂²	semidirect
81. #2696	C₂²	semidirect
82. #2688	C₂²	semidirect
83. #2686	C₂²	semidirect
84. #2680	C₂²	semidirect
85. #2678	C₂²	semidirect
86. #2674	C₂²	semidirect
87. #2668	C₂²	semidirect
88. #2661	C₂²	semidirect
89. #2659	C₂²	semidirect
90. #2656	C₂²	semidirect
91. #2653	C₂²	semidirect
92. #2651	C₂²	semidirect
93. #2649	C₂²	semidirect
94. #2649	C₂²	semidirect
95. #2646	C₂²	semidirect
96. #2643	C₂²	semidirect
97. #2640	C₂²	semidirect
98. #2639	C₂²	semidirect
99. #2639	C₂²	semidirect
100. #2638	C₂²	semidirect
101. #2631	C₂²	semidirect
103. #2623	C₂²	semidirect
104. #2622	C₂²	semidirect
105. #2622	C₂²	semidirect
109. #2603	C₂²	semidirect
110. #2600	C₂²	semidirect
111. #2597	C₂²	semidirect
112. #2578	C₂²	semidirect
113. #2577	C₂²	semidirect
114. #2569	C₂²	semidirect
115. #2569	C₂²	semidirect
116. #2564	C₂²	semidirect
117. #2564	C₂²	semidirect
118. #2543	C₂²	semidirect
119. #2543	C₂²	semidirect
120. #2543	C₂²	semidirect
121. #2543	C₂²	semidirect
122. #2539	C₂²	semidirect
123. #2534	C₂²	semidirect
124. #2530	C₂²	semidirect
125. #2518	C₂²	semidirect
126. #2516	C₂²	semidirect
127. #2510	C₂²	semidirect
128. #2510	C₂²	semidirect
129. #2510	C₂²	semidirect
130. #2510	C₂²	semidirect
131. #2505	C₂²	semidirect
132. #2504	C₂²	semidirect
133. #2501	C₂²	semidirect
134. #2498	C₂²	semidirect
135. #2498	C₂²	semidirect
136. #2493	C₂²	semidirect
137. #2488	C₂²	semidirect
138. #2486	C₂²	semidirect
139. #2483	C₂²	semidirect
140. #2480	C₂²	semidirect
143. #2472	C₂²	semidirect
144. #2472	C₂²	semidirect
145. #2450	C₂²	semidirect
146. #2449	C₂²	semidirect
147. #2449	C₂²	semidirect
148. #2444	C₂²	semidirect
149. #2444	C₂²	semidirect
150. #2444	C₂²	semidirect
151. #2444	C₂²	semidirect
152. #2443	C₂²	semidirect
153. #2443	C₂²	semidirect
154. #2443	C₂²	semidirect
155. #2440	C₂²	semidirect
156. #2437	C₂²	semidirect
157. #2437	C₂²	semidirect
158. #2430	C₂²	semidirect
159. #2430	C₂²	semidirect
160. #2425	C₂²	semidirect
165. #2424	C₂²	semidirect
166. #2422	C₂²	semidirect
167. #2419	C₂²	semidirect
170. #2418	C₂²	semidirect
171. #2418	C₂²	semidirect
172. #2416	C₂²	semidirect
173. #2413	C₂²	semidirect
177. #2411	C₂²	semidirect
180. #2410	C₂²	semidirect
181. #2410	C₂²	semidirect
182. #2406	C₂²	semidirect
184. #2404	C₂²	semidirect
187. C₂×#397	C₂²	semidirect
188. C₂×#397	C₂²	semidirect
189. C₂×#397	C₂²	semidirect
190. C₂×#397	C₂²	semidirect
191. C₂×#397	C₂²	semidirect
192. C₂×#397	C₂²	semidirect
193. #2364	C₂²	semidirect
194. #2364	C₂²	semidirect
195. #2361	C₂²	semidirect
196. #2358	C₂²	semidirect
197. #2358	C₂²	semidirect
198. #2353	C₂²	semidirect
199. #2353	C₂²	semidirect
200. D₄×C₄⋊C₄	C₂²	semidirect
201. #2344	C₂²	semidirect
203. D₄×C₂²⋊C₄	C₂²	semidirect
204. D₄×C₂²⋊C₄	C₂²	semidirect
205. #2329	C₂²	semidirect
206. #2325	C₂²	semidirect
207. #2325	C₂²	semidirect
208. #2325	C₂²	semidirect
209. #2325	C₂²	semidirect
211. #2318	C₂²	semidirect
213. #2312	C₂²	semidirect
215. C₄×#120	C₂²	semidirect
216. C₄×#120	C₂²	semidirect
217. C₂²×#95	C₂²	semidirect
218. C₂²×#95	C₂²	semidirect
231. C₂×C₄⋊Q₈	C₂³	semidirect
243. C₂×#123	C₂³	semidirect
249. C₂×C₂²⋊Q₈	C₂³	semidirect
265. C₂×#121	C₂³	semidirect
288. C₂×C₄×D₄	C₂³	semidirect
295. C₂²×C₄⋊C₄	C₂³	semidirect
313. #401	C₂³	semidirect
314. #401	C₂³	semidirect
315. #400	C₂³	semidirect
316. #400	C₂³	semidirect
317. #400	C₂³	semidirect
318. #400	C₂³	semidirect
319. #400	C₂³	semidirect
320. #400	C₂³	semidirect
321. #400	C₂³	semidirect
322. #400	C₂³	semidirect
323. #400	C₂³	semidirect
324. #400	C₂³	semidirect
325. #400	C₂³	semidirect
329. #399	C₂³	semidirect
330. #399	C₂³	semidirect
331. #399	C₂³	semidirect
332. #399	C₂³	semidirect
333. #398	C₂³	semidirect
334. #398	C₂³	semidirect
335. #398	C₂³	semidirect
336. #398	C₂³	semidirect
337. #398	C₂³	semidirect
338. #398	C₂³	semidirect
339. #398	C₂³	semidirect
340. #398	C₂³	semidirect
341. #398	C₂³	semidirect
342. #398	C₂³	semidirect
371. #397	C₂³	semidirect
372. #397	C₂³	semidirect
373. #397	C₂³	semidirect
374. #397	C₂³	semidirect
375. #397	C₂³	semidirect
376. #397	C₂³	semidirect
377. #397	C₂³	semidirect
378. #397	C₂³	semidirect
379. #397	C₂³	semidirect
380. #397	C₂³	semidirect
381. #397	C₂³	semidirect
382. #397	C₂³	semidirect
383. #397	C₂³	semidirect
389. #396	C₂³	semidirect
390. #396	C₂³	semidirect
391. #396	C₂³	semidirect
392. #395	C₂³	semidirect
393. #395	C₂³	semidirect
394. #395	C₂³	semidirect
395. #395	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
423. #393	C₂³	semidirect
424. #393	C₂³	semidirect
425. #393	C₂³	semidirect
434. #392	C₂³	semidirect
435. #392	C₂³	semidirect
436. #392	C₂³	semidirect
437. #391	C₂³	semidirect
445. #390	C₂³	semidirect
446. #389	C₂³	semidirect
447. #389	C₂³	semidirect
448. #389	C₂³	semidirect
449. #389	C₂³	semidirect
450. #389	C₂³	semidirect
463. #388	C₂³	semidirect
464. #388	C₂³	semidirect
465. #388	C₂³	semidirect
466. #388	C₂³	semidirect
467. #388	C₂³	semidirect
468. #388	C₂³	semidirect
469. #388	C₂³	semidirect
470. #388	C₂³	semidirect
471. #388	C₂³	semidirect
472. #388	C₂³	semidirect
473. #388	C₂³	semidirect
474. #388	C₂³	semidirect
475. #388	C₂³	semidirect
476. #388	C₂³	semidirect
477. #388	C₂³	semidirect
478. #387	C₂³	semidirect
479. #387	C₂³	semidirect
480. #387	C₂³	semidirect
481. #387	C₂³	semidirect
482. #387	C₂³	semidirect
483. #387	C₂³	semidirect
484. #387	C₂³	semidirect
485. #387	C₂³	semidirect
486. #387	C₂³	semidirect
487. #387	C₂³	semidirect
488. #387	C₂³	semidirect
489. #387	C₂³	semidirect
490. #387	C₂³	semidirect
491. #387	C₂³	semidirect
492. #387	C₂³	semidirect
493. #387	C₂³	semidirect
494. #387	C₂³	semidirect
529. #386	C₂³	semidirect
530. #386	C₂³	semidirect
531. #386	C₂³	semidirect
532. #386	C₂³	semidirect
533. #386	C₂³	semidirect
534. #386	C₂³	semidirect
535. #386	C₂³	semidirect
536. #386	C₂³	semidirect
554. #385	C₂³	semidirect
555. #385	C₂³	semidirect
556. #385	C₂³	semidirect
557. #385	C₂³	semidirect
558. #385	C₂³	semidirect
559. #385	C₂³	semidirect
560. #385	C₂³	semidirect
561. #385	C₂³	semidirect
562. #385	C₂³	semidirect
563. #384	C₂³	semidirect
564. #383	C₂³	semidirect
565. #383	C₂³	semidirect
566. #383	C₂³	semidirect
567. #382	C₂³	semidirect
572. #381	C₂³	semidirect
573. #381	C₂³	semidirect
574. #381	C₂³	semidirect
589. #380	C₂³	semidirect
590. #380	C₂³	semidirect
600. C₄×C₄⋊C₄	C₂³	semidirect
608. C₄×C₂²⋊C₄	C₂³	semidirect
609. C₄×C₂²⋊C₄	C₂³	semidirect
610. #376	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#52718	2
#52471	2
#52470	2
#43511	2
#43492	2
#43247	2
#43224	2
#41427	2
#41404	2
#41389	2
#41371	2
#40866	2
#40813	2
#40762	2
#40700	2
#36607	2
#36103	2
#36098	2
#35051	2
#34997	2
#34988	2
#34981	2
C₂²×#397	2