Subgroups — #7758296

Order 512.

5640 conjugacy classes of subgroups.

The subgroup lattice has 1437 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59012	C₂	1	4	yes	maximal, complemented
2	#59006	C₂	1	4	yes	maximal, complemented
3	#48909	C₂	1	4	yes	maximal, complemented
4	#48042	C₂	1	4	yes	maximal, complemented
5	#43528	C₂	1	4	yes	maximal, complemented
6	#43179	C₂	1	4	yes	maximal, complemented
7	#42075	C₂	1	4	yes	maximal, complemented
8	#42072	C₂	1	4	yes	maximal, complemented
9	#41388	C₂	1	2	yes	maximal, complemented
10	#40565	C₂	1	4	yes	maximal, complemented
11	#40542	C₂	1	2	yes	maximal, complemented
12	#39540	C₂	1	2	yes	maximal, complemented
13	#39540	C₂	1	2	yes	maximal, complemented
14	#39511	C₂	1	2	yes	maximal, complemented
15	#39495	C₂	1	2	yes	maximal, complemented
16	#37451	C₂	1	1	yes	maximal, characteristic, complemented
17	#35839	C₂	1	2	yes	maximal, complemented
18	#35825	C₂	1	4	yes	maximal, complemented
19	#35695	C₂	1	2	yes	maximal, complemented
20	#35079	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#2539	C₂	1	1	yes	maximal, characteristic
22	C₂×#2626	C₂	1	1	yes	maximal, characteristic, complemented
23	#34379	C₂	1	1	yes	maximal, characteristic, complemented
24	#34245	C₂	1	1	yes	maximal, characteristic, complemented
25	#34176	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#552	C₂²	1	4	yes	complemented
27	C₂×#551	C₂²	1	4	yes	complemented
28	C₂²×#123	C₂²	1	2	yes	—
29	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
30	C₂²×#121	C₂²	1	1	yes	characteristic
31	C₂²×#120	C₂²	1	2	yes	—
32	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
33	#2857	C₂²	1	2	yes	complemented
34	#2851	C₂²	1	2	yes	complemented
35	#2836	C₂²	1	4	yes	complemented
36	#2829	C₂²	1	4	yes	complemented
37	#2816	C₂²	1	4	yes	complemented
38	#2808	C₂²	1	4	yes	complemented
39	#2804	C₂²	1	4	yes	complemented
40	#2800	C₂²	1	4	yes	complemented
41	#2800	C₂²	1	4	yes	complemented
42	#2798	C₂²	1	4	yes	complemented
43	#2780	C₂²	1	4	yes	complemented
44	#2780	C₂²	1	4	yes	complemented
45	#2761	C₂²	1	4	yes	complemented
46	#2761	C₂²	1	4	yes	complemented
47	#2754	C₂²	1	4	yes	complemented
48	#2751	C₂²	1	4	yes	complemented
49	#2751	C₂²	1	4	yes	complemented
50	#2732	C₂²	1	4	yes	complemented
51	#2730	C₂²	1	4	yes	complemented
52	#2727	C₂²	1	4	yes	complemented
53	#2721	C₂²	1	4	yes	complemented
54	#2721	C₂²	1	4	yes	complemented
55	#2712	C₂²	1	4	yes	complemented
56	#2710	C₂²	1	4	yes	complemented
57	#2707	C₂²	1	4	yes	complemented
58	#2707	C₂²	1	4	yes	complemented
59	#2707	C₂²	1	4	yes	complemented
60	#2705	C₂²	1	4	yes	complemented
61	#2697	C₂²	1	4	yes	complemented
62	#2695	C₂²	1	4	yes	complemented
63	#2694	C₂²	1	4	yes	complemented
64	#2694	C₂²	1	4	yes	complemented
65	#2694	C₂²	1	4	yes	complemented
66	#2687	C₂²	1	4	yes	complemented
67	#2685	C₂²	1	4	yes	complemented
68	#2685	C₂²	1	4	yes	complemented
69	#2684	C₂²	1	4	yes	complemented
70	#2667	C₂²	1	2	yes	complemented
71	#2667	C₂²	1	4	yes	complemented
72	#2665	C₂²	1	2	yes	complemented
73	#2664	C₂²	1	4	yes	complemented
74	#2662	C₂²	1	4	yes	complemented
75	#2654	C₂²	1	4	yes	complemented
76	#2648	C₂²	1	4	yes	complemented
77	#2630	C₂²	1	4	yes	complemented
78	#2626	C₂²	1	2	yes	—
79	#2626	C₂²	1	2	yes	—
80	#2626	C₂²	1	2	yes	—
81	#2626	C₂²	1	2	yes	—
82	#2626	C₂²	1	2	yes	complemented
83	#2626	C₂²	1	4	yes	complemented
84	#2626	C₂²	1	2	yes	complemented
85	#2626	C₂²	1	2	yes	complemented
86	#2626	C₂²	1	2	yes	complemented
87	#2620	C₂²	1	4	yes	complemented
88	#2618	C₂²	1	4	yes	complemented
89	#2607	C₂²	1	4	yes	complemented
90	#2601	C₂²	1	4	yes	complemented
91	#2601	C₂²	1	4	yes	complemented
92	#2592	C₂²	1	4	yes	complemented
93	#2589	C₂²	1	4	yes	complemented
94	#2580	C₂²	1	4	yes	complemented
95	#2569	C₂²	1	2	yes	complemented
96	#2566	C₂²	1	4	yes	complemented
97	#2558	C₂²	1	4	yes	complemented
98	#2558	C₂²	1	4	yes	complemented
99	#2558	C₂²	1	4	yes	complemented
100	#2557	C₂²	1	4	yes	complemented
101	#2556	C₂²	1	4	yes	complemented
102	#2554	C₂²	1	4	yes	complemented
103	#2553	C₂²	1	4	yes	complemented
104	#2549	C₂²	1	2	yes	complemented
105	#2545	C₂²	1	4	yes	complemented
106	#2539	C₂²	1	4	yes	—
107	#2539	C₂²	1	4	yes	—
108	#2539	C₂²	1	2	yes	—
109	#2539	C₂²	1	2	yes	—
110	#2539	C₂²	1	2	yes	—
111	#2539	C₂²	1	2	yes	—
112	#2534	C₂²	1	4	yes	complemented
113	#2534	C₂²	1	4	yes	complemented
114	#2522	C₂²	1	4	yes	complemented
115	#2519	C₂²	1	4	yes	complemented
116	#2512	C₂²	1	4	yes	complemented
117	#2502	C₂²	1	2	yes	complemented
118	#2501	C₂²	1	2	yes	complemented
119	#2498	C₂²	1	4	yes	complemented
120	#2488	C₂²	1	4	yes	complemented
121	#2486	C₂²	1	4	yes	complemented
122	#2480	C₂²	1	4	yes	—
123	#2480	C₂²	1	4	yes	—
124	#2480	C₂²	1	4	yes	complemented
125	#2480	C₂²	1	4	yes	complemented
126	#2479	C₂²	1	4	yes	complemented
127	#2479	C₂²	1	4	yes	complemented
128	#2473	C₂²	1	4	yes	complemented
129	#2473	C₂²	1	4	yes	complemented
130	#2472	C₂²	1	4	yes	complemented
131	#2472	C₂²	1	4	yes	complemented
132	#2471	C₂²	1	4	yes	complemented
133	#2470	C₂²	1	4	yes	complemented
134	#2467	C₂²	1	4	yes	complemented
135	#2461	C₂²	1	4	yes	complemented
136	#2459	C₂²	1	4	yes	complemented
137	#2458	C₂²	1	4	yes	complemented
138	#2458	C₂²	1	4	yes	complemented
139	#2458	C₂²	1	4	yes	complemented
140	#2457	C₂²	1	4	yes	complemented
141	#2454	C₂²	1	4	yes	complemented
142	#2452	C₂²	1	4	yes	complemented
143	#2448	C₂²	1	4	yes	complemented
144	#2442	C₂²	1	2	yes	complemented
145	#2442	C₂²	1	4	yes	complemented
146	#2441	C₂²	1	2	yes	complemented
147	#2441	C₂²	1	4	yes	complemented
148	#2440	C₂²	1	2	yes	complemented
149	#2439	C₂²	1	2	yes	complemented
150	#2437	C₂²	1	4	yes	—
151	#2437	C₂²	1	4	yes	—
152	#2437	C₂²	1	4	yes	complemented
153	#2436	C₂²	1	2	yes	complemented
154	#2435	C₂²	1	4	yes	—
155	#2435	C₂²	1	2	yes	complemented
156	#2423	C₂²	1	4	yes	complemented
157	#2419	C₂²	1	4	yes	complemented
158	#2418	C₂²	1	4	yes	complemented
159	#2418	C₂²	1	4	yes	complemented
160	#2413	C₂²	1	4	yes	complemented
161	#2413	C₂²	1	4	yes	complemented
162	#2412	C₂²	1	4	yes	complemented
163	#2412	C₂²	1	4	yes	complemented
164	#2411	C₂²	1	4	yes	complemented
165	#2411	C₂²	1	4	yes	complemented
166	#2405	C₂²	1	4	yes	—
167	#2405	C₂²	1	4	yes	—
168	#2405	C₂²	1	4	yes	—
169	#2396	C₂²	1	4	yes	complemented
170	C₂×#399	C₂²	1	1	yes	characteristic
171	C₂×#399	C₂²	1	1	yes	characteristic
172	C₂×#399	C₂²	1	2	yes	complemented
173	#2392	C₂²	1	4	yes	complemented
174	C₂×#396	C₂²	1	4	yes	complemented
175	C₂×#393	C₂²	1	2	yes	complemented
176	C₂×#392	C₂²	1	1	yes	characteristic
177	C₂×#392	C₂²	1	1	yes	characteristic
178	#2377	C₂²	1	2	yes	complemented
179	#2377	C₂²	1	2	yes	complemented
180	#2368	C₂²	1	2	yes	complemented
181	#2368	C₂²	1	2	yes	complemented
182	#2362	C₂²	1	2	yes	complemented
183	#2362	C₂²	1	2	yes	complemented
184	#2361	C₂²	1	4	yes	complemented
185	#2360	C₂²	1	4	yes	complemented
186	#2359	C₂²	1	4	yes	complemented
187	#2358	C₂²	1	4	yes	complemented
188	#2345	C₂²	1	2	yes	complemented
189	#2344	C₂²	1	2	yes	complemented
190	#2342	C₂²	1	4	yes	—
191	#2342	C₂²	1	4	yes	—
192	#2342	C₂²	1	4	yes	complemented
193	#2342	C₂²	1	4	yes	complemented
194	#2342	C₂²	1	4	yes	complemented
195	#2342	C₂²	1	4	yes	complemented
196	#2342	C₂²	1	4	yes	complemented
197	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
198	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
199	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
200	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
201	#2332	C₂²	1	4	yes	complemented
202	#2329	C₂²	1	4	yes	complemented
203	#2325	C₂²	1	4	yes	complemented
204	#2324	C₂²	1	4	yes	complemented
205	#2315	C₂²	1	1	yes	characteristic
206	#2315	C₂²	1	1	yes	characteristic
207	#2315	C₂²	1	2	yes	complemented
208	#2313	C₂²	1	2	yes	complemented
209	#2312	C₂²	1	1	yes	characteristic
210	#2312	C₂²	1	2	yes	—
211	#2312	C₂²	1	1	yes	characteristic
212	#2312	C₂²	1	2	yes	complemented
213	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
214	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
215	C₂×#390	C₂²	1	2	yes	—
216	C₂×#390	C₂²	1	2	yes	—
217	C₂×#385	C₂²	1	2	yes	—
218	#2280	C₂²	1	1	yes	characteristic
219	#2280	C₂²	1	1	yes	characteristic
220	#2280	C₂²	1	2	yes	—
221	C₂×#380	C₂²	1	1	yes	characteristic
222	C₂×#379	C₂²	1	2	yes	—
223	C₂×#379	C₂²	1	2	yes	—
224	#2274	C₂²	1	2	yes	complemented
225	#2273	C₂²	1	2	yes	—
226	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
227	C₂⁶	C₂³	1	1	yes	characteristic
228	C₂³×Q₈	C₂³	1	1	yes	characteristic
229	C₂³×D₄	C₂³	1	2	yes	—
230	C₂³×D₄	C₂³	1	2	yes	—
231	C₂³×D₄	C₂³	1	1	yes	characteristic
232	C₂³×D₄	C₂³	1	2	yes	—
233	C₂⁴×C₄	C₂³	1	1	yes	characteristic
234	C₂⁴×C₄	C₂³	1	1	yes	characteristic
235	#552	—	4	16	no	—
236	#551	—	4	16	no	—
237	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
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×#125	C₂³	1	4	yes	complemented
244	C₂×#125	C₂³	1	4	yes	complemented
245	C₂×#125	C₂³	1	2	yes	complemented
246	C₂×#124	C₂³	1	4	yes	—
247	C₂×#124	C₂³	1	4	yes	—
248	C₂×#124	C₂³	1	4	yes	complemented
249	C₂×#123	—	4	8	no	—
250	C₂×#123	C₂³	1	4	yes	—
251	C₂×#123	C₂³	1	4	yes	—
252	C₂×#123	C₂³	1	4	yes	—
253	C₂×#123	C₂³	1	4	yes	—
254	C₂×#123	C₂³	1	4	yes	—
255	C₂×#123	C₂³	1	4	yes	—
256	C₂×#123	C₂³	1	4	yes	—
257	C₂×#123	C₂³	1	4	yes	—
258	C₂×#123	C₂³	1	4	yes	—
259	C₂×#123	C₂³	1	4	yes	—
260	C₂×C₂²⋊Q₈	—	2	8	no	—
261	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
262	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
263	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
264	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
265	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
266	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
267	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
268	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
269	C₂×#121	—	2	8	no	—
270	C₂×#121	C₂³	1	2	yes	—
271	C₂×#121	C₂³	1	2	yes	—
272	C₂×#121	C₂³	1	2	yes	—
273	C₂×#121	C₂³	1	2	yes	—
274	C₂×#120	—	4	8	no	—
275	C₂×#120	C₂³	1	4	yes	—
276	C₂×#120	C₂³	1	4	yes	—
277	C₂×#120	C₂³	1	4	yes	—
278	C₂×#120	C₂³	1	4	yes	—
279	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
280	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
281	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
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	complemented
287	C₂×#117	C₂³	1	4	yes	—
288	C₂×#117	C₂³	1	4	yes	—
289	C₂×#117	C₂³	1	4	yes	—
290	C₂×#117	C₂³	1	2	yes	—
291	C₂×#117	C₂³	1	2	yes	—
292	C₂×#117	C₂³	1	4	yes	complemented
293	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
294	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
297	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
298	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
299	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
300	C₂²×C₂²⋊C₄	—	2	8	no	—
301	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
304	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
306	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
307	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
308	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
309	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
310	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
311	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
312	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
314	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
315	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
316	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
317	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
318	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
319	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
320	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
321	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
322	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
323	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
324	C₂²×C₄²	C₂³	1	2	yes	—
325	#400	C₂³	1	4	yes	complemented
326	#400	C₂³	1	4	yes	complemented
327	#400	C₂³	1	4	yes	complemented
328	#400	C₂³	1	4	yes	complemented
329	#400	C₂³	1	4	yes	complemented
330	#399	C₂³	1	4	yes	—
331	#399	C₂³	1	2	yes	—
332	#399	C₂³	1	4	yes	—
333	#399	C₂³	1	2	yes	—
334	#399	C₂³	1	4	yes	—
335	#399	C₂³	1	4	yes	—
336	#399	C₂³	1	2	yes	—
337	#399	C₂³	1	2	yes	—
338	#399	C₂³	1	2	yes	—
339	#399	C₂³	1	2	yes	—
340	#399	C₂³	1	2	yes	—
341	#399	C₂³	1	2	yes	—
342	#399	C₂³	1	4	yes	—
343	#399	C₂³	1	4	yes	—
344	#399	C₂³	1	4	yes	complemented
345	#399	C₂³	1	4	yes	complemented
346	#399	C₂³	1	4	yes	complemented
347	#398	C₂³	1	4	yes	complemented
348	#398	C₂³	1	4	yes	complemented
349	#398	C₂³	1	4	yes	complemented
350	#398	C₂³	1	4	yes	complemented
351	#398	C₂³	1	4	yes	complemented
352	#398	C₂³	1	4	yes	complemented
353	#398	C₂³	1	4	yes	complemented
354	#398	C₂³	1	4	yes	complemented
355	#398	C₂³	1	4	yes	complemented
356	#398	C₂³	1	4	yes	complemented
357	#398	C₂³	1	4	yes	complemented
358	#398	C₂³	1	4	yes	complemented
359	#397	C₂³	1	4	yes	—
360	#397	C₂³	1	4	yes	—
361	#397	C₂³	1	4	yes	—
362	#397	C₂³	1	4	yes	—
363	#397	C₂³	1	4	yes	—
364	#397	C₂³	1	4	yes	—
365	#397	C₂³	1	4	yes	complemented
366	#397	C₂³	1	4	yes	complemented
367	#397	C₂³	1	4	yes	complemented
368	#397	C₂³	1	4	yes	complemented
369	#397	C₂³	1	4	yes	complemented
370	#397	C₂³	1	4	yes	complemented
371	#396	C₂³	1	4	yes	—
372	#396	C₂³	1	4	yes	—
373	#396	C₂³	1	4	yes	—
374	#396	C₂³	1	4	yes	—
375	#396	C₂³	1	4	yes	—
376	#396	C₂³	1	4	yes	—
377	#396	C₂³	1	4	yes	—
378	#396	C₂³	1	4	yes	—
379	#396	C₂³	1	4	yes	—
380	#396	C₂³	1	4	yes	—
381	#396	C₂³	1	4	yes	—
382	#396	C₂³	1	4	yes	—
383	#396	C₂³	1	4	yes	—
384	#396	C₂³	1	4	yes	—
385	#396	C₂³	1	4	yes	complemented
386	#396	C₂³	1	4	yes	complemented
387	#396	C₂³	1	4	yes	complemented
388	#396	C₂³	1	4	yes	complemented
389	#396	C₂³	1	4	yes	complemented
390	#396	C₂³	1	4	yes	complemented
391	#396	C₂³	1	4	yes	complemented
392	#396	C₂³	1	4	yes	complemented
393	#395	C₂³	1	4	yes	complemented
394	#394	C₂³	1	4	yes	—
395	#394	C₂³	1	4	yes	—
396	#394	C₂³	1	4	yes	—
397	#394	C₂³	1	4	yes	—
398	#394	C₂³	1	4	yes	—
399	#394	C₂³	1	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	complemented
411	#394	C₂³	1	4	yes	complemented
412	#393	C₂³	1	4	yes	—
413	#393	C₂³	1	2	yes	—
414	#393	C₂³	1	4	yes	—
415	#393	C₂³	1	2	yes	—
416	#393	C₂³	1	4	yes	—
417	#393	C₂³	1	2	yes	—
418	#393	C₂³	1	2	yes	—
419	#393	C₂³	1	4	yes	—
420	#393	C₂³	1	4	yes	complemented
421	#393	C₂³	1	4	yes	complemented
422	#393	C₂³	1	4	yes	complemented
423	#392	C₂³	1	2	yes	—
424	#392	C₂³	1	2	yes	—
425	#392	C₂³	1	2	yes	—
426	#392	C₂³	1	2	yes	—
427	#392	C₂³	1	4	yes	—
428	#392	C₂³	1	4	yes	—
429	#391	C₂³	1	4	yes	complemented
430	#391	C₂³	1	4	yes	complemented
431	#391	C₂³	1	4	yes	complemented
432	#391	C₂³	1	4	yes	complemented
433	#391	C₂³	1	4	yes	complemented
434	#391	C₂³	1	4	yes	complemented
435	#391	C₂³	1	2	yes	complemented
436	#391	C₂³	1	2	yes	complemented
437	#390	C₂³	1	4	yes	—
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	—
446	#390	C₂³	1	4	yes	—
447	#390	C₂³	1	4	yes	—
448	#390	C₂³	1	4	yes	—
449	#390	C₂³	1	4	yes	—
450	#390	C₂³	1	4	yes	—
451	#390	C₂³	1	4	yes	complemented
452	#390	C₂³	1	4	yes	complemented
453	#389	C₂³	1	4	yes	complemented
454	#389	C₂³	1	4	yes	complemented
455	#389	C₂³	1	4	yes	complemented
456	#389	C₂³	1	4	yes	complemented
457	#389	C₂³	1	2	yes	complemented
458	#389	C₂³	1	2	yes	complemented
459	#389	C₂³	1	2	yes	complemented
460	#389	C₂³	1	2	yes	complemented
461	#389	C₂³	1	2	yes	complemented
462	#389	C₂³	1	2	yes	complemented
463	#389	C₂³	1	4	yes	complemented
464	#389	C₂³	1	4	yes	complemented
465	#389	C₂³	1	4	yes	complemented
466	#389	C₂³	1	4	yes	complemented
467	#389	C₂³	1	4	yes	complemented
468	#389	C₂³	1	4	yes	complemented
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	—
476	#388	C₂³	1	4	yes	—
477	#388	C₂³	1	4	yes	—
478	#388	C₂³	1	4	yes	—
479	#388	C₂³	1	4	yes	—
480	#388	C₂³	1	4	yes	—
481	#388	C₂³	1	4	yes	—
482	#388	C₂³	1	4	yes	—
483	#388	C₂³	1	4	yes	—
484	#388	C₂³	1	4	yes	—
485	#388	C₂³	1	4	yes	—
486	#388	C₂³	1	4	yes	—
487	#388	C₂³	1	4	yes	—
488	#388	C₂³	1	4	yes	—
489	#388	C₂³	1	4	yes	—
490	#388	C₂³	1	4	yes	—
491	#388	C₂³	1	4	yes	complemented
492	#388	C₂³	1	4	yes	complemented
493	#388	C₂³	1	4	yes	complemented
494	#388	C₂³	1	4	yes	complemented
495	#388	C₂³	1	4	yes	complemented
496	#388	C₂³	1	4	yes	complemented
497	#388	C₂³	1	4	yes	complemented
498	#388	C₂³	1	4	yes	complemented
499	#388	C₂³	1	4	yes	complemented
500	#388	C₂³	1	4	yes	complemented
501	#388	C₂³	1	4	yes	complemented
502	#388	C₂³	1	4	yes	complemented
503	#388	C₂³	1	4	yes	complemented
504	#388	C₂³	1	4	yes	complemented
505	#387	C₂³	1	4	yes	complemented
506	#387	C₂³	1	4	yes	complemented
507	#387	C₂³	1	4	yes	complemented
508	#387	C₂³	1	4	yes	complemented
509	#387	C₂³	1	4	yes	complemented
510	#387	C₂³	1	4	yes	complemented
511	#387	C₂³	1	4	yes	complemented
512	#387	C₂³	1	4	yes	complemented
513	#387	C₂³	1	4	yes	complemented
514	#387	C₂³	1	4	yes	complemented
515	#387	C₂³	1	4	yes	complemented
516	#387	C₂³	1	4	yes	complemented
517	#387	C₂³	1	4	yes	complemented
518	#387	C₂³	1	4	yes	complemented
519	#387	C₂³	1	4	yes	complemented
520	#387	C₂³	1	4	yes	complemented
521	#387	C₂³	1	4	yes	complemented
522	#387	C₂³	1	4	yes	complemented
523	#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	4	yes	—
530	#386	C₂³	1	4	yes	—
531	#386	C₂³	1	4	yes	—
532	#386	C₂³	1	4	yes	—
533	#386	C₂³	1	4	yes	—
534	#386	C₂³	1	4	yes	—
535	#386	C₂³	1	4	yes	—
536	#386	C₂³	1	4	yes	—
537	#386	C₂³	1	4	yes	complemented
538	#386	C₂³	1	4	yes	complemented
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	4	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	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	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	2	yes	complemented
564	#384	C₂³	1	4	yes	complemented
565	#382	C₂³	1	4	yes	complemented
566	#382	C₂³	1	2	yes	complemented
567	#381	C₂³	1	2	yes	—
568	#381	C₂³	1	4	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	#380	C₂³	1	1	yes	characteristic
574	#380	C₂³	1	1	yes	characteristic
575	#380	C₂³	1	1	yes	characteristic
576	#380	C₂³	1	1	yes	characteristic
577	#380	C₂³	1	2	yes	—
578	#380	C₂³	1	2	yes	—
579	#380	C₂³	1	2	yes	—
580	#380	C₂³	1	4	yes	—
581	#380	C₂³	1	4	yes	—
582	#380	C₂³	1	2	yes	—
583	#380	C₂³	1	4	yes	—
584	#380	C₂³	1	2	yes	—
585	#380	C₂³	1	2	yes	—
586	#380	C₂³	1	4	yes	—
587	#380	C₂³	1	4	yes	—
588	#380	C₂³	1	2	yes	—
589	#380	C₂³	1	4	yes	—
590	#380	C₂³	1	1	yes	characteristic
591	#380	C₂³	1	1	yes	characteristic
592	#380	C₂³	1	4	yes	—
593	#380	C₂³	1	4	yes	complemented
594	#380	C₂³	1	4	yes	complemented
595	#379	C₂³	1	2	yes	—
596	#379	C₂³	1	2	yes	—
597	#379	C₂³	1	4	yes	—
598	#379	C₂³	1	2	yes	—
599	#379	C₂³	1	4	yes	—
600	#379	C₂³	1	4	yes	—
601	#379	C₂³	1	4	yes	—
602	#379	C₂³	1	4	yes	—
603	#379	C₂³	1	4	yes	—
604	#379	C₂³	1	4	yes	—
605	#379	C₂³	1	4	yes	—
606	#379	C₂³	1	4	yes	—
607	#379	C₂³	1	2	yes	—
608	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
609	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
610	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
611	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
612	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
613	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
614	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
615	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
616	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
617	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
618	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
619	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
620	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
621	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
622	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
623	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
624	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
625	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
626	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
627	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
628	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
629	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
630	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
631	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
632	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
633	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
634	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
635	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
636	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
637	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
638	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
639	C₂×#95	C₂³	1	1	yes	characteristic
640	C₂×#95	C₂³	1	2	yes	—
641	C₂×#95	C₂³	1	4	yes	—
642	C₂×#95	C₂³	1	1	yes	characteristic
643	C₂⁵	—	2	4	no	—
644	C₂⁵	—	2	4	no	—
645	C₂⁵	—	4	2	no	—
646	C₂⁵	—	4	4	no	—
647	C₂⁵	—	8	2	no	—
648	C₂⁵	C₂⁴	1	2	yes	—
649	C₂⁵	C₂⁴	1	1	yes	characteristic
650	C₂⁵	C₂⁴	1	2	yes	—
651	C₂⁵	C₂⁴	1	1	yes	characteristic
652	C₂⁵	C₂⁴	1	2	yes	—
653	C₂⁵	C₂⁴	1	1	yes	characteristic
654	C₂²×Q₈	—	2	4	no	—
655	C₂²×Q₈	—	8	2	no	—
656	C₂²×Q₈	C₂⁴	1	2	yes	—
657	C₂²×Q₈	C₂⁴	1	4	yes	—
658	C₂²×Q₈	C₂⁴	1	2	yes	—
659	C₂²×D₄	—	2	8	no	—
660	C₂²×D₄	—	2	8	no	—
661	C₂²×D₄	—	2	4	no	—
662	C₂²×D₄	—	4	4	no	—
663	C₂²×D₄	—	4	4	no	—
664	C₂²×D₄	—	4	4	no	—
665	C₂²×D₄	—	4	4	no	—
666	C₂²×D₄	—	4	4	no	—
667	C₂²×D₄	—	8	2	no	—
668	C₂²×D₄	—	8	2	no	—
669	C₂²×D₄	—	8	2	no	—
670	C₂²×D₄	C₂⁴	1	4	yes	—
671	C₂²×D₄	C₂⁴	1	4	yes	—
672	C₂²×D₄	C₂⁴	1	2	yes	—
673	C₂²×D₄	C₂⁴	1	4	yes	—
674	C₂²×D₄	C₂⁴	1	4	yes	—
675	C₂²×D₄	C₂⁴	1	4	yes	—
676	C₂²×D₄	C₂⁴	1	2	yes	—
677	C₂²×D₄	C₂⁴	1	4	yes	—
678	C₂³×C₄	—	2	4	no	—
679	C₂³×C₄	—	4	4	no	—
680	C₂³×C₄	—	8	2	no	—
681	C₂³×C₄	#41	1	8	yes	—
682	C₂³×C₄	C₂⁴	1	2	yes	—
683	C₂³×C₄	C₂⁴	1	2	yes	—
684	C₂³×C₄	C₂⁴	1	2	yes	—
685	C₂³×C₄	C₂⁴	1	2	yes	—
686	C₂³×C₄	C₂⁴	1	1	yes	characteristic
687	C₂³×C₄	C₂⁴	1	1	yes	characteristic
688	C₂³×C₄	C₂⁴	1	2	yes	—
689	C₂³×C₄	C₂⁴	1	4	yes	—
690	C₂³×C₄	C₂⁴	1	2	yes	—
691	C₂³×C₄	C₂⁴	1	4	yes	—
692	C₂³×C₄	C₂⁴	1	2	yes	—
693	C₂³×C₄	C₂⁴	1	4	yes	—
694	C₂³×C₄	C₂⁴	1	4	yes	—
695	C₂³×C₄	C₂⁴	1	4	yes	—
696	C₂³×C₄	C₂⁴	1	1	yes	characteristic
697	C₂³×C₄	C₂⁴	1	1	yes	characteristic
698	C₂³×C₄	C₂⁴	1	1	yes	characteristic
699	C₂³×C₄	C₂⁴	1	1	yes	characteristic
700	C₂³×C₄	C₂⁴	1	1	yes	characteristic
701	C₂³×C₄	C₂⁴	1	1	yes	characteristic
702	C₄⋊Q₈	—	8	2	no	—
703	#126	—	4	8	no	—
704	#126	—	4	8	no	—
705	#126	—	4	8	no	—
706	#126	—	4	8	no	—
707	#125	—	4	8	no	—
708	#125	—	4	8	no	—
709	#125	—	4	8	no	—
710	#125	—	8	2	no	—
711	#124	—	4	8	no	—
712	#124	—	8	4	no	—
713	#124	—	8	4	no	—
714	#123	—	2	16	no	—
715	#123	—	4	8	no	—
716	#123	—	4	8	no	—
717	#123	—	4	8	no	—
718	#123	—	4	8	no	—
719	#123	—	4	8	no	—
720	#123	—	4	8	no	—
721	#123	—	4	8	no	—
722	#123	—	8	4	no	—
723	#123	—	8	4	no	—
724	C₂²⋊Q₈	—	2	8	no	—
725	C₂²⋊Q₈	—	2	8	no	—
726	C₂²⋊Q₈	—	2	8	no	—
727	C₂²⋊Q₈	—	2	8	no	—
728	C₂²⋊Q₈	—	2	16	no	—
729	C₂²⋊Q₈	—	4	8	no	—
730	C₂²⋊Q₈	—	4	8	no	—
731	C₂²⋊Q₈	—	4	8	no	—
732	#121	—	2	8	no	—
733	#121	—	2	8	no	—
734	#121	—	2	8	no	—
735	#121	—	2	8	no	—
736	#120	—	2	16	no	—
737	#120	—	4	8	no	—
738	#120	—	4	8	no	—
739	#120	—	4	8	no	—
740	C₄×Q₈	—	4	8	no	—
741	C₄×Q₈	—	8	2	no	—
742	C₄×Q₈	—	8	2	no	—
743	C₄×D₄	—	4	8	no	—
744	C₄×D₄	—	4	8	no	—
745	C₄×D₄	—	4	8	no	—
746	C₄×D₄	—	8	4	no	—
747	C₄×D₄	—	8	4	no	—
748	#117	—	2	16	no	—
749	#117	—	4	8	no	—
750	#117	—	4	8	no	—
751	#117	—	4	8	no	—
752	#117	—	8	2	no	—
753	#117	—	8	2	no	—
754	C₂×C₄⋊C₄	—	2	4	no	—
755	C₂×C₄⋊C₄	—	2	4	no	—
756	C₂×C₄⋊C₄	—	2	8	no	—
757	C₂×C₄⋊C₄	—	4	4	no	—
758	C₂×C₄⋊C₄	—	4	4	no	—
759	C₂×C₄⋊C₄	—	4	8	no	—
760	C₂×C₄⋊C₄	—	8	2	no	—
761	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
762	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
763	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
764	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
766	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
767	C₂×C₄⋊C₄	C₂⁴	1	2	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	4	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	2	yes	—
782	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
783	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
784	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
785	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
786	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
787	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
789	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
790	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
791	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊C₄	—	2	8	no	—
804	C₂×C₂²⋊C₄	—	2	8	no	—
805	C₂×C₂²⋊C₄	—	2	8	no	—
806	C₂×C₂²⋊C₄	—	2	8	no	—
807	C₂×C₂²⋊C₄	—	2	4	no	—
808	C₂×C₂²⋊C₄	—	2	4	no	—
809	C₂×C₂²⋊C₄	—	2	4	no	—
810	C₂×C₂²⋊C₄	—	2	4	no	—
811	C₂×C₂²⋊C₄	—	2	8	no	—
812	C₂×C₂²⋊C₄	—	2	8	no	—
813	C₂×C₂²⋊C₄	—	2	8	no	—
814	C₂×C₂²⋊C₄	—	2	8	no	—
815	C₂×C₂²⋊C₄	—	4	4	no	—
816	C₂×C₂²⋊C₄	—	4	4	no	—
817	C₂×C₂²⋊C₄	—	4	4	no	—
818	C₂×C₂²⋊C₄	—	4	4	no	—
819	C₂×C₂²⋊C₄	—	4	8	no	—
820	C₂×C₂²⋊C₄	—	4	4	no	—
821	C₂×C₂²⋊C₄	—	4	4	no	—
822	C₂×C₂²⋊C₄	—	4	8	no	—
823	C₂×C₂²⋊C₄	—	4	8	no	—
824	C₂×C₂²⋊C₄	—	8	4	no	—
825	C₂×C₂²⋊C₄	—	8	4	no	—
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	2	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
851	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
852	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
889	C₂×C₄²	—	8	2	no	—
890	C₂×C₄²	C₂⁴	1	4	yes	—
891	C₂×C₄²	C₂⁴	1	4	yes	—
892	C₂×C₄²	C₂⁴	1	4	yes	—
893	C₂×C₄²	C₂⁴	1	4	yes	—
894	C₂×C₄²	C₂⁴	1	4	yes	—
895	C₂×C₄²	C₂⁴	1	4	yes	—
896	C₂×C₄²	C₂⁴	1	4	yes	—
897	C₂×C₄²	C₂⁴	1	4	yes	—
898	C₂×C₄²	C₂⁴	1	4	yes	—
899	C₂×C₄²	C₂⁴	1	4	yes	—
900	C₂×C₄²	C₂⁴	1	2	yes	—
901	C₂×C₄²	C₂⁴	1	2	yes	—
902	C₂×C₄²	C₂⁴	1	2	yes	—
903	C₂×C₄²	C₂⁴	1	2	yes	—
904	#95	C₂⁴	1	1	yes	characteristic
905	#95	C₂⁴	1	1	yes	characteristic
906	#95	C₂⁴	1	2	yes	—
907	#95	C₂⁴	1	1	yes	characteristic
908	#95	C₂⁴	1	1	yes	characteristic
909	#95	C₂⁴	1	2	yes	—
910	#95	C₂⁴	1	4	yes	—
911	#95	C₂⁴	1	4	yes	—
912	#95	C₂⁴	1	2	yes	—
913	#95	C₂⁴	1	2	yes	—
914	#95	C₂⁴	1	4	yes	—
915	#95	C₂⁴	1	4	yes	—
916	#95	C₂⁴	1	4	yes	—
917	#95	C₂⁴	1	4	yes	—
918	#95	C₂⁴	1	4	yes	—
919	#95	C₂⁴	1	4	yes	—
920	#95	C₂⁴	1	4	yes	—
921	#95	C₂⁴	1	2	yes	—
922	#95	C₂⁴	1	2	yes	—
923	#95	C₂⁴	1	4	yes	—
924	#95	C₂⁴	1	4	yes	—
925	#95	C₂⁴	1	4	yes	—
926	#95	C₂⁴	1	2	yes	—
927	#95	C₂⁴	1	4	yes	—
928	#95	C₂⁴	1	2	yes	—
929	#95	C₂⁴	1	4	yes	—
930	#95	C₂⁴	1	4	yes	—
931	#95	C₂⁴	1	4	yes	—
932	#95	C₂⁴	1	4	yes	—
933	#95	C₂⁴	1	4	yes	—
934	#95	C₂⁴	1	4	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	4	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	#95	C₂⁴	1	4	yes	—
941	#95	C₂⁴	1	4	yes	—
942	#95	C₂⁴	1	4	yes	—
943	#95	C₂⁴	1	4	yes	—
944	#95	C₂⁴	1	4	yes	—
945	#95	C₂⁴	1	4	yes	—
946	#95	C₂⁴	1	4	yes	—
947	#95	C₂⁴	1	4	yes	—
948	#95	C₂⁴	1	4	yes	—
949	C₂⁴	—	2	4	no	—
950	C₂⁴	—	2	2	no	—
951	C₂⁴	—	2	2	no	—
952	C₂⁴	—	2	2	no	—
953	C₂⁴	—	2	2	no	—
954	C₂⁴	—	2	4	no	—
955	C₂⁴	—	2	2	no	—
956	C₂⁴	—	2	4	no	—
957	C₂⁴	—	2	4	no	—
958	C₂⁴	—	2	8	no	—
959	C₂⁴	—	2	2	no	—
960	C₂⁴	—	2	4	no	—
961	C₂⁴	—	2	4	no	—
962	C₂⁴	—	2	4	no	—
963	C₂⁴	—	2	2	no	—
964	C₂⁴	—	2	4	no	—
965	C₂⁴	—	4	2	no	—
966	C₂⁴	—	4	2	no	—
967	C₂⁴	—	4	2	no	—
968	C₂⁴	—	4	4	no	—
969	C₂⁴	—	4	4	no	—
970	C₂⁴	—	4	2	no	—
971	C₂⁴	—	4	2	no	—
972	C₂⁴	—	4	2	no	—
973	C₂⁴	—	4	2	no	—
974	C₂⁴	—	4	2	no	—
975	C₂⁴	—	4	4	no	—
976	C₂⁴	—	4	2	no	—
977	C₂⁴	—	4	2	no	—
978	C₂⁴	—	4	2	no	—
979	C₂⁴	—	4	16	no	—
980	C₂⁴	—	8	8	no	—
981	C₂⁴	—	8	16	no	—
982	C₂⁴	—	8	8	no	—
983	C₂⁴	—	8	16	no	—
984	C₂⁴	C₂×#41	1	4	yes	—
985	C₂⁴	2₋¹⁺⁴	1	4	yes	—
986	C₂⁴	C₂⁵	1	2	yes	—
987	C₂⁴	C₂⁵	1	4	yes	—
988	C₂⁴	C₂⁵	1	1	yes	characteristic
989	C₂⁴	C₂⁵	1	2	yes	—
990	C₂⁴	C₂⁵	1	1	yes	characteristic
991	C₂⁴	C₂⁵	1	1	yes	characteristic
992	C₂×Q₈	—	2	4	no	—
993	C₂×Q₈	—	2	4	no	—
994	C₂×Q₈	—	2	8	no	—
995	C₂×Q₈	—	4	2	no	—
996	C₂×Q₈	—	4	2	no	—
997	C₂×Q₈	—	4	4	no	—
998	C₂×Q₈	—	4	4	no	—
999	C₂×Q₈	—	4	4	no	—
1000	C₂×Q₈	—	8	8	no	—
1001	C₂×D₄	—	2	8	no	—
1002	C₂×D₄	—	2	8	no	—
1003	C₂×D₄	—	2	8	no	—
1004	C₂×D₄	—	2	8	no	—
1005	C₂×D₄	—	2	8	no	—
1006	C₂×D₄	—	2	8	no	—
1007	C₂×D₄	—	2	4	no	—
1008	C₂×D₄	—	2	4	no	—
1009	C₂×D₄	—	2	8	no	—
1010	C₂×D₄	—	2	8	no	—
1011	C₂×D₄	—	4	4	no	—
1012	C₂×D₄	—	4	4	no	—
1013	C₂×D₄	—	4	4	no	—
1014	C₂×D₄	—	4	4	no	—
1015	C₂×D₄	—	4	4	no	—
1016	C₂×D₄	—	4	4	no	—
1017	C₂×D₄	—	4	4	no	—
1018	C₂×D₄	—	4	4	no	—
1019	C₂×D₄	—	4	4	no	—
1020	C₂×D₄	—	4	4	no	—
1021	C₂×D₄	—	4	4	no	—
1022	C₂×D₄	—	4	4	no	—
1023	C₂×D₄	—	8	16	no	—
1024	C₂×D₄	—	8	8	no	—
1025	C₂×D₄	—	8	16	no	—
1026	C₂×D₄	—	8	16	no	—
1027	C₂²×C₄	—	2	4	no	—
1028	C₂²×C₄	—	2	4	no	—
1029	C₂²×C₄	—	2	8	no	—
1030	C₂²×C₄	—	2	8	no	—
1031	C₂²×C₄	—	2	4	no	—
1032	C₂²×C₄	—	2	4	no	—
1033	C₂²×C₄	—	2	4	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	4	no	—
1037	C₂²×C₄	—	2	4	no	—
1038	C₂²×C₄	—	2	8	no	—
1039	C₂²×C₄	—	2	8	no	—
1040	C₂²×C₄	—	2	4	no	—
1041	C₂²×C₄	—	2	4	no	—
1042	C₂²×C₄	—	4	2	no	—
1043	C₂²×C₄	—	4	2	no	—
1044	C₂²×C₄	—	4	2	no	—
1045	C₂²×C₄	—	4	2	no	—
1046	C₂²×C₄	—	4	2	no	—
1047	C₂²×C₄	—	4	2	no	—
1048	C₂²×C₄	—	4	2	no	—
1049	C₂²×C₄	—	4	2	no	—
1050	C₂²×C₄	—	4	2	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	4	no	—
1057	C₂²×C₄	—	4	4	no	—
1058	C₂²×C₄	—	4	4	no	—
1059	C₂²×C₄	—	4	2	no	—
1060	C₂²×C₄	—	4	4	no	—
1061	C₂²×C₄	—	4	4	no	—
1062	C₂²×C₄	—	4	4	no	—
1063	C₂²×C₄	—	4	4	no	—
1064	C₂²×C₄	—	4	4	no	—
1065	C₂²×C₄	—	4	4	no	—
1066	C₂²×C₄	—	4	4	no	—
1067	C₂²×C₄	—	4	4	no	—
1068	C₂²×C₄	—	4	4	no	—
1069	C₂²×C₄	—	8	8	no	—
1070	C₂²×C₄	—	8	8	no	—
1071	C₂²×C₄	C₂×#41	1	4	yes	—
1072	C₂²×C₄	C₂×#41	1	4	yes	—
1073	C₂²×C₄	C₂×#41	1	4	yes	—
1074	C₂²×C₄	C₂×#41	1	4	yes	—
1075	C₂²×C₄	C₂×#41	1	4	yes	—
1076	C₂²×C₄	C₂×#41	1	4	yes	—
1077	C₂²×C₄	C₂⁵	1	2	yes	—
1078	C₂²×C₄	C₂⁵	1	4	yes	—
1079	C₂²×C₄	C₂⁵	1	4	yes	—
1080	C₂²×C₄	C₂⁵	1	4	yes	—
1081	C₂²×C₄	C₂⁵	1	4	yes	—
1082	C₂²×C₄	C₂⁵	1	2	yes	—
1083	C₂²×C₄	C₂⁵	1	4	yes	—
1084	C₂²×C₄	C₂⁵	1	2	yes	—
1085	C₂²×C₄	C₂⁵	1	4	yes	—
1086	C₂²×C₄	C₂⁵	1	4	yes	—
1087	C₂²×C₄	C₂⁵	1	4	yes	—
1088	C₂²×C₄	C₂⁵	1	2	yes	—
1089	C₂²×C₄	C₂⁵	1	4	yes	—
1090	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1091	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1092	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1093	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1094	C₂²×C₄	C₂⁵	1	2	yes	—
1095	C₂²×C₄	C₂⁵	1	2	yes	—
1096	C₄⋊C₄	—	2	4	no	—
1097	C₄⋊C₄	—	2	4	no	—
1098	C₄⋊C₄	—	2	4	no	—
1099	C₄⋊C₄	—	2	4	no	—
1100	C₄⋊C₄	—	2	8	no	—
1101	C₄⋊C₄	—	2	8	no	—
1102	C₄⋊C₄	—	2	8	no	—
1103	C₄⋊C₄	—	2	8	no	—
1104	C₄⋊C₄	—	2	8	no	—
1105	C₄⋊C₄	—	2	8	no	—
1106	C₄⋊C₄	—	2	8	no	—
1107	C₄⋊C₄	—	2	8	no	—
1108	C₄⋊C₄	—	2	8	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	C₄⋊C₄	—	4	4	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	4	no	—
1119	C₄⋊C₄	—	4	4	no	—
1120	C₄⋊C₄	—	4	4	no	—
1121	C₄⋊C₄	—	4	2	no	—
1122	C₄⋊C₄	—	4	2	no	—
1123	C₄⋊C₄	—	4	2	no	—
1124	C₄⋊C₄	—	4	2	no	—
1125	C₄⋊C₄	—	4	4	no	—
1126	C₄⋊C₄	—	4	4	no	—
1127	C₄⋊C₄	—	4	4	no	—
1128	C₄⋊C₄	—	4	4	no	—
1129	C₄⋊C₄	—	4	4	no	—
1130	C₄⋊C₄	—	4	4	no	—
1131	C₄⋊C₄	—	4	4	no	—
1132	C₄⋊C₄	—	4	4	no	—
1133	C₄⋊C₄	—	4	4	no	—
1134	C₄⋊C₄	—	4	4	no	—
1135	C₄⋊C₄	—	4	4	no	—
1136	C₄⋊C₄	—	4	4	no	—
1137	C₄⋊C₄	—	4	4	no	—
1138	C₂²⋊C₄	—	2	8	no	—
1139	C₂²⋊C₄	—	2	8	no	—
1140	C₂²⋊C₄	—	2	4	no	—
1141	C₂²⋊C₄	—	2	8	no	—
1142	C₂²⋊C₄	—	2	8	no	—
1143	C₂²⋊C₄	—	2	8	no	—
1144	C₂²⋊C₄	—	2	4	no	—
1145	C₂²⋊C₄	—	2	4	no	—
1146	C₂²⋊C₄	—	2	4	no	—
1147	C₂²⋊C₄	—	2	8	no	—
1148	C₂²⋊C₄	—	2	4	no	—
1149	C₂²⋊C₄	—	2	4	no	—
1150	C₂²⋊C₄	—	2	4	no	—
1151	C₂²⋊C₄	—	2	4	no	—
1152	C₂²⋊C₄	—	2	4	no	—
1153	C₂²⋊C₄	—	2	4	no	—
1154	C₂²⋊C₄	—	2	4	no	—
1155	C₂²⋊C₄	—	2	4	no	—
1156	C₂²⋊C₄	—	2	4	no	—
1157	C₂²⋊C₄	—	2	8	no	—
1158	C₂²⋊C₄	—	2	8	no	—
1159	C₂²⋊C₄	—	2	4	no	—
1160	C₂²⋊C₄	—	2	4	no	—
1161	C₂²⋊C₄	—	2	8	no	—
1162	C₂²⋊C₄	—	2	8	no	—
1163	C₂²⋊C₄	—	2	8	no	—
1164	C₂²⋊C₄	—	2	8	no	—
1165	C₂²⋊C₄	—	4	4	no	—
1166	C₂²⋊C₄	—	4	4	no	—
1167	C₂²⋊C₄	—	4	4	no	—
1168	C₂²⋊C₄	—	4	2	no	—
1169	C₂²⋊C₄	—	4	2	no	—
1170	C₂²⋊C₄	—	4	4	no	—
1171	C₂²⋊C₄	—	4	4	no	—
1172	C₂²⋊C₄	—	4	4	no	—
1173	C₂²⋊C₄	—	4	4	no	—
1174	C₂²⋊C₄	—	4	4	no	—
1175	C₂²⋊C₄	—	4	4	no	—
1176	C₂²⋊C₄	—	4	4	no	—
1177	C₂²⋊C₄	—	4	4	no	—
1178	C₂²⋊C₄	—	4	4	no	—
1179	C₂²⋊C₄	—	4	4	no	—
1180	C₂²⋊C₄	—	4	4	no	—
1181	C₂²⋊C₄	—	4	4	no	—
1182	C₂²⋊C₄	—	4	4	no	—
1183	C₂²⋊C₄	—	4	4	no	—
1184	C₂²⋊C₄	—	4	4	no	—
1185	C₂²⋊C₄	—	4	4	no	—
1186	C₂²⋊C₄	—	4	4	no	—
1187	C₂²⋊C₄	—	4	4	no	—
1188	C₂²⋊C₄	—	4	4	no	—
1189	C₂²⋊C₄	—	4	4	no	—
1190	C₂²⋊C₄	—	4	4	no	—
1191	C₂²⋊C₄	—	4	4	no	—
1192	C₂²⋊C₄	—	4	4	no	—
1193	C₂²⋊C₄	—	4	4	no	—
1194	C₂²⋊C₄	—	4	4	no	—
1195	C₂²⋊C₄	—	4	4	no	—
1196	C₂²⋊C₄	—	4	4	no	—
1197	C₂²⋊C₄	—	4	4	no	—
1198	C₂²⋊C₄	—	4	4	no	—
1199	C₂²⋊C₄	—	4	4	no	—
1200	C₂²⋊C₄	H(5,𝔽₂)	1	8	yes	—
1201	C₄²	—	2	8	no	—
1202	C₄²	—	2	8	no	—
1203	C₄²	—	4	2	no	—
1204	C₄²	—	4	2	no	—
1205	C₄²	—	4	2	no	—
1206	C₄²	—	4	2	no	—
1207	C₄²	—	4	4	no	—
1208	C₄²	—	4	4	no	—
1209	C₄²	—	4	4	no	—
1210	C₄²	—	4	4	no	—
1211	C₄²	—	4	4	no	—
1212	C₄²	—	4	4	no	—
1213	C₄²	—	4	4	no	—
1214	C₄²	—	4	4	no	—
1215	C₂³	—	2	2	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	2	no	—
1219	C₂³	—	2	2	no	—
1220	C₂³	—	2	2	no	—
1221	C₂³	—	2	2	no	—
1222	C₂³	—	2	4	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	2	no	—
1226	C₂³	—	2	2	no	—
1227	C₂³	—	2	4	no	—
1228	C₂³	—	2	8	no	—
1229	C₂³	—	2	8	no	—
1230	C₂³	—	2	8	no	—
1231	C₂³	—	2	2	no	—
1232	C₂³	—	2	4	no	—
1233	C₂³	—	2	4	no	—
1234	C₂³	—	2	4	no	—
1235	C₂³	—	2	4	no	—
1236	C₂³	—	2	4	no	—
1237	C₂³	—	2	2	no	—
1238	C₂³	—	2	4	no	—
1239	C₂³	—	2	2	no	—
1240	C₂³	—	2	4	no	—
1241	C₂³	—	2	4	no	—
1242	C₂³	—	2	4	no	—
1243	C₂³	—	4	4	no	—
1244	C₂³	—	4	8	no	—
1245	C₂³	—	4	8	no	—
1246	C₂³	—	4	8	no	—
1247	C₂³	—	4	8	no	—
1248	C₂³	—	4	8	no	—
1249	C₂³	—	4	16	no	—
1250	C₂³	—	4	8	no	—
1251	C₂³	—	4	8	no	—
1252	C₂³	—	4	4	no	—
1253	C₂³	—	4	8	no	—
1254	C₂³	—	4	8	no	—
1255	C₂³	—	8	2	no	—
1256	C₂³	—	8	2	no	—
1257	C₂³	—	8	4	no	—
1258	C₂³	—	8	2	no	—
1259	C₂³	—	8	2	no	—
1260	C₂³	—	8	4	no	—
1261	C₂³	—	8	4	no	—
1262	C₂³	—	8	8	no	—
1263	C₂³	—	8	4	no	—
1264	C₂³	—	8	8	no	—
1265	C₂³	—	8	4	no	—
1266	C₂³	—	8	4	no	—
1267	C₂³	—	8	4	no	—
1268	C₂³	—	8	4	no	—
1269	C₂³	—	8	4	no	—
1270	C₂³	—	8	4	no	—
1271	C₂³	—	8	8	no	—
1272	C₂³	—	8	64	no	—
1273	C₂³	C₂²×#41	1	2	yes	—
1274	C₂³	C₂²×#41	1	2	yes	—
1275	C₂³	C₂²×#41	1	2	yes	—
1276	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1277	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1278	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
1279	C₂³	#585	1	2	yes	—
1280	C₂³	C₂⁶	1	1	yes	characteristic
1281	Q₈	—	4	8	no	—
1282	Q₈	—	8	8	no	—
1283	Q₈	—	8	4	no	—
1284	D₄	—	4	16	no	—
1285	D₄	—	4	8	no	—
1286	D₄	—	4	16	no	—
1287	D₄	—	8	4	no	—
1288	D₄	—	8	8	no	—
1289	D₄	—	8	8	no	—
1290	D₄	—	8	8	no	—
1291	D₄	—	8	8	no	—
1292	C₂×C₄	—	2	2	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	2	no	—
1302	C₂×C₄	—	2	4	no	—
1303	C₂×C₄	—	2	4	no	—
1304	C₂×C₄	—	2	4	no	—
1305	C₂×C₄	—	2	4	no	—
1306	C₂×C₄	—	2	4	no	—
1307	C₂×C₄	—	2	4	no	—
1308	C₂×C₄	—	2	4	no	—
1309	C₂×C₄	—	2	4	no	—
1310	C₂×C₄	—	2	4	no	—
1311	C₂×C₄	—	2	4	no	—
1312	C₂×C₄	—	2	4	no	—
1313	C₂×C₄	—	2	4	no	—
1314	C₂×C₄	—	2	4	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	2	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	2	no	—
1322	C₂×C₄	—	2	4	no	—
1323	C₂×C₄	—	2	4	no	—
1324	C₂×C₄	—	2	4	no	—
1325	C₂×C₄	—	2	4	no	—
1326	C₂×C₄	—	2	2	no	—
1327	C₂×C₄	—	2	4	no	—
1328	C₂×C₄	—	2	4	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	2	2	no	—
1331	C₂×C₄	—	2	4	no	—
1332	C₂×C₄	—	2	4	no	—
1333	C₂×C₄	—	2	4	no	—
1334	C₂×C₄	—	2	4	no	—
1335	C₂×C₄	—	2	4	no	—
1336	C₂×C₄	—	2	4	no	—
1337	C₂×C₄	—	4	4	no	—
1338	C₂×C₄	—	4	4	no	—
1339	C₂×C₄	—	4	4	no	—
1340	C₂×C₄	—	4	4	no	—
1341	C₂×C₄	—	4	4	no	—
1342	C₂×C₄	—	4	4	no	—
1343	C₂×C₄	—	4	8	no	—
1344	C₂×C₄	—	4	8	no	—
1345	C₂×C₄	—	4	8	no	—
1346	C₂×C₄	—	4	8	no	—
1347	C₂×C₄	—	8	8	no	—
1348	C₂×C₄	—	8	8	no	—
1349	C₂×C₄	—	8	2	no	—
1350	C₂×C₄	—	8	2	no	—
1351	C₂×C₄	—	8	4	no	—
1352	C₂×C₄	—	8	4	no	—
1353	C₂×C₄	—	8	4	no	—
1354	C₂×C₄	—	8	8	no	—
1355	C₂×C₄	—	16	4	no	—
1356	C₂×C₄	—	16	4	no	—
1357	C₂×C₄	C₂²×#41	1	2	yes	—
1358	C₂×C₄	C₂²×#41	1	2	yes	—
1359	C₂×C₄	C₂²×#41	1	2	yes	—
1360	C₂×C₄	C₂²×#41	1	2	yes	—
1361	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1362	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	4	no	—
1368	C₂²	—	2	4	no	—
1369	C₂²	—	2	4	no	—
1370	C₂²	—	2	4	no	—
1371	C₂²	—	2	2	no	—
1372	C₂²	—	2	2	no	—
1373	C₂²	—	2	4	no	—
1374	C₂²	—	2	2	no	—
1375	C₂²	—	2	8	no	—
1376	C₂²	—	4	16	no	—
1377	C₂²	—	4	2	no	—
1378	C₂²	—	4	2	no	—
1379	C₂²	—	4	2	no	—
1380	C₂²	—	4	4	no	—
1381	C₂²	—	4	2	no	—
1382	C₂²	—	4	4	no	—
1383	C₂²	—	4	2	no	—
1384	C₂²	—	4	4	no	—
1385	C₂²	—	4	2	no	—
1386	C₂²	—	4	4	no	—
1387	C₂²	—	4	2	no	—
1388	C₂²	—	4	4	no	—
1389	C₂²	—	4	4	no	—
1390	C₂²	—	4	4	no	—
1391	C₂²	—	4	4	no	—
1392	C₂²	—	4	4	no	—
1393	C₂²	—	4	4	no	—
1394	C₂²	—	8	8	no	—
1395	C₂²	—	8	16	no	—
1396	C₂²	—	8	8	no	—
1397	C₂²	—	8	16	no	—
1398	C₂²	—	16	8	no	—
1399	C₂²	#3495	1	4	yes	—
1400	C₂²	#3508	1	4	yes	—
1401	C₂²	C₂³×#41	1	1	yes	characteristic
1402	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1403	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1404	C₂²	C₂×#585	1	1	yes	characteristic
1405	C₂²	H(7,𝔽₂)	1	2	yes	—
1406	C₄	—	2	2	no	—
1407	C₄	—	2	2	no	—
1408	C₄	—	2	2	no	—
1409	C₄	—	2	2	no	—
1410	C₄	—	2	4	no	—
1411	C₄	—	2	4	no	—
1412	C₄	—	4	4	no	—
1413	C₄	—	4	2	no	—
1414	C₄	—	4	2	no	—
1415	C₄	—	4	4	no	—
1416	C₄	—	4	4	no	—
1417	C₄	—	4	2	no	—
1418	C₄	—	4	4	no	—
1419	C₄	—	4	4	no	—
1420	C₄	—	4	2	no	—
1421	C₄	—	4	4	no	—
1422	C₄	—	4	4	no	—
1423	C₄	—	4	4	no	—
1424	C₄	—	4	4	no	—
1425	C₂	—	2	4	no	—
1426	C₂	—	2	4	no	—
1427	C₂	—	4	2	no	—
1428	C₂	—	4	4	no	—
1429	C₂	—	8	2	no	—
1430	C₂	—	8	4	no	—
1431	C₂	C₂×#3508	1	1	yes	characteristic
1432	C₂	C₂×#3495	1	1	yes	characteristic
1433	C₂	#62844	1	1	yes	characteristic
1434	C₂	#62894	1	2	yes	—
1435	C₂	#62896	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	C₂×#2539	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. #59012	C₂	semidirect
2. #59006	C₂	semidirect
3. #48909	C₂	semidirect
4. #48042	C₂	semidirect
5. #43528	C₂	semidirect
6. #43179	C₂	semidirect
7. #42075	C₂	semidirect
8. #42072	C₂	semidirect
9. #41388	C₂	semidirect
10. #40565	C₂	semidirect
11. #40542	C₂	semidirect
12. #39540	C₂	semidirect
13. #39540	C₂	semidirect
14. #39511	C₂	semidirect
15. #39495	C₂	semidirect
16. #37451	C₂	semidirect
17. #35839	C₂	semidirect
18. #35825	C₂	semidirect
19. #35695	C₂	semidirect
20. #35079	C₂	semidirect
22. C₂×#2626	C₂	semidirect
23. #34379	C₂	semidirect
24. #34245	C₂	semidirect
25. #34176	C₂	semidirect
26. C₂×#552	C₂²	semidirect
27. C₂×#551	C₂²	semidirect
33. #2857	C₂²	semidirect
34. #2851	C₂²	semidirect
35. #2836	C₂²	semidirect
36. #2829	C₂²	semidirect
37. #2816	C₂²	semidirect
38. #2808	C₂²	semidirect
39. #2804	C₂²	semidirect
40. #2800	C₂²	semidirect
41. #2800	C₂²	semidirect
42. #2798	C₂²	semidirect
43. #2780	C₂²	semidirect
44. #2780	C₂²	semidirect
45. #2761	C₂²	semidirect
46. #2761	C₂²	semidirect
47. #2754	C₂²	semidirect
48. #2751	C₂²	semidirect
49. #2751	C₂²	semidirect
50. #2732	C₂²	semidirect
51. #2730	C₂²	semidirect
52. #2727	C₂²	semidirect
53. #2721	C₂²	semidirect
54. #2721	C₂²	semidirect
55. #2712	C₂²	semidirect
56. #2710	C₂²	semidirect
57. #2707	C₂²	semidirect
58. #2707	C₂²	semidirect
59. #2707	C₂²	semidirect
60. #2705	C₂²	semidirect
61. #2697	C₂²	semidirect
62. #2695	C₂²	semidirect
63. #2694	C₂²	semidirect
64. #2694	C₂²	semidirect
65. #2694	C₂²	semidirect
66. #2687	C₂²	semidirect
67. #2685	C₂²	semidirect
68. #2685	C₂²	semidirect
69. #2684	C₂²	semidirect
70. #2667	C₂²	semidirect
71. #2667	C₂²	semidirect
72. #2665	C₂²	semidirect
73. #2664	C₂²	semidirect
74. #2662	C₂²	semidirect
75. #2654	C₂²	semidirect
76. #2648	C₂²	semidirect
77. #2630	C₂²	semidirect
82. #2626	C₂²	semidirect
83. #2626	C₂²	semidirect
84. #2626	C₂²	semidirect
85. #2626	C₂²	semidirect
86. #2626	C₂²	semidirect
87. #2620	C₂²	semidirect
88. #2618	C₂²	semidirect
89. #2607	C₂²	semidirect
90. #2601	C₂²	semidirect
91. #2601	C₂²	semidirect
92. #2592	C₂²	semidirect
93. #2589	C₂²	semidirect
94. #2580	C₂²	semidirect
95. #2569	C₂²	semidirect
96. #2566	C₂²	semidirect
97. #2558	C₂²	semidirect
98. #2558	C₂²	semidirect
99. #2558	C₂²	semidirect
100. #2557	C₂²	semidirect
101. #2556	C₂²	semidirect
102. #2554	C₂²	semidirect
103. #2553	C₂²	semidirect
104. #2549	C₂²	semidirect
105. #2545	C₂²	semidirect
112. #2534	C₂²	semidirect
113. #2534	C₂²	semidirect
114. #2522	C₂²	semidirect
115. #2519	C₂²	semidirect
116. #2512	C₂²	semidirect
117. #2502	C₂²	semidirect
118. #2501	C₂²	semidirect
119. #2498	C₂²	semidirect
120. #2488	C₂²	semidirect
121. #2486	C₂²	semidirect
124. #2480	C₂²	semidirect
125. #2480	C₂²	semidirect
126. #2479	C₂²	semidirect
127. #2479	C₂²	semidirect
128. #2473	C₂²	semidirect
129. #2473	C₂²	semidirect
130. #2472	C₂²	semidirect
131. #2472	C₂²	semidirect
132. #2471	C₂²	semidirect
133. #2470	C₂²	semidirect
134. #2467	C₂²	semidirect
135. #2461	C₂²	semidirect
136. #2459	C₂²	semidirect
137. #2458	C₂²	semidirect
138. #2458	C₂²	semidirect
139. #2458	C₂²	semidirect
140. #2457	C₂²	semidirect
141. #2454	C₂²	semidirect
142. #2452	C₂²	semidirect
143. #2448	C₂²	semidirect
144. #2442	C₂²	semidirect
145. #2442	C₂²	semidirect
146. #2441	C₂²	semidirect
147. #2441	C₂²	semidirect
148. #2440	C₂²	semidirect
149. #2439	C₂²	semidirect
152. #2437	C₂²	semidirect
153. #2436	C₂²	semidirect
155. #2435	C₂²	semidirect
156. #2423	C₂²	semidirect
157. #2419	C₂²	semidirect
158. #2418	C₂²	semidirect
159. #2418	C₂²	semidirect
160. #2413	C₂²	semidirect
161. #2413	C₂²	semidirect
162. #2412	C₂²	semidirect
163. #2412	C₂²	semidirect
164. #2411	C₂²	semidirect
165. #2411	C₂²	semidirect
169. #2396	C₂²	semidirect
172. C₂×#399	C₂²	semidirect
173. #2392	C₂²	semidirect
174. C₂×#396	C₂²	semidirect
175. C₂×#393	C₂²	semidirect
178. #2377	C₂²	semidirect
179. #2377	C₂²	semidirect
180. #2368	C₂²	semidirect
181. #2368	C₂²	semidirect
182. #2362	C₂²	semidirect
183. #2362	C₂²	semidirect
184. #2361	C₂²	semidirect
185. #2360	C₂²	semidirect
186. #2359	C₂²	semidirect
187. #2358	C₂²	semidirect
188. #2345	C₂²	semidirect
189. #2344	C₂²	semidirect
192. #2342	C₂²	semidirect
193. #2342	C₂²	semidirect
194. #2342	C₂²	semidirect
195. #2342	C₂²	semidirect
196. #2342	C₂²	semidirect
197. Q₈×C₂²⋊C₄	C₂²	semidirect
200. D₄×C₂²⋊C₄	C₂²	semidirect
201. #2332	C₂²	semidirect
202. #2329	C₂²	semidirect
203. #2325	C₂²	semidirect
204. #2324	C₂²	semidirect
207. #2315	C₂²	semidirect
208. #2313	C₂²	semidirect
212. #2312	C₂²	semidirect
213. C₄×C₂²⋊Q₈	C₂²	semidirect
214. C₄×C₂²⋊Q₈	C₂²	semidirect
224. #2274	C₂²	semidirect
237. C₂×C₄⋊Q₈	C₂³	semidirect
240. C₂×#126	C₂³	semidirect
241. C₂×#126	C₂³	semidirect
242. C₂×#125	C₂³	semidirect
243. C₂×#125	C₂³	semidirect
244. C₂×#125	C₂³	semidirect
245. C₂×#125	C₂³	semidirect
248. C₂×#124	C₂³	semidirect
268. C₂×C₂²⋊Q₈	C₂³	semidirect
279. C₂×C₄×Q₈	C₂³	semidirect
280. C₂×C₄×Q₈	C₂³	semidirect
281. C₂×C₄×Q₈	C₂³	semidirect
286. C₂×C₄×D₄	C₂³	semidirect
292. C₂×#117	C₂³	semidirect
325. #400	C₂³	semidirect
326. #400	C₂³	semidirect
327. #400	C₂³	semidirect
328. #400	C₂³	semidirect
329. #400	C₂³	semidirect
344. #399	C₂³	semidirect
345. #399	C₂³	semidirect
346. #399	C₂³	semidirect
347. #398	C₂³	semidirect
348. #398	C₂³	semidirect
349. #398	C₂³	semidirect
350. #398	C₂³	semidirect
351. #398	C₂³	semidirect
352. #398	C₂³	semidirect
353. #398	C₂³	semidirect
354. #398	C₂³	semidirect
355. #398	C₂³	semidirect
356. #398	C₂³	semidirect
357. #398	C₂³	semidirect
358. #398	C₂³	semidirect
365. #397	C₂³	semidirect
366. #397	C₂³	semidirect
367. #397	C₂³	semidirect
368. #397	C₂³	semidirect
369. #397	C₂³	semidirect
370. #397	C₂³	semidirect
385. #396	C₂³	semidirect
386. #396	C₂³	semidirect
387. #396	C₂³	semidirect
388. #396	C₂³	semidirect
389. #396	C₂³	semidirect
390. #396	C₂³	semidirect
391. #396	C₂³	semidirect
392. #396	C₂³	semidirect
393. #395	C₂³	semidirect
410. #394	C₂³	semidirect
411. #394	C₂³	semidirect
420. #393	C₂³	semidirect
421. #393	C₂³	semidirect
422. #393	C₂³	semidirect
429. #391	C₂³	semidirect
430. #391	C₂³	semidirect
431. #391	C₂³	semidirect
432. #391	C₂³	semidirect
433. #391	C₂³	semidirect
434. #391	C₂³	semidirect
435. #391	C₂³	semidirect
436. #391	C₂³	semidirect
451. #390	C₂³	semidirect
452. #390	C₂³	semidirect
453. #389	C₂³	semidirect
454. #389	C₂³	semidirect
455. #389	C₂³	semidirect
456. #389	C₂³	semidirect
457. #389	C₂³	semidirect
458. #389	C₂³	semidirect
459. #389	C₂³	semidirect
460. #389	C₂³	semidirect
461. #389	C₂³	semidirect
462. #389	C₂³	semidirect
463. #389	C₂³	semidirect
464. #389	C₂³	semidirect
465. #389	C₂³	semidirect
466. #389	C₂³	semidirect
467. #389	C₂³	semidirect
468. #389	C₂³	semidirect
491. #388	C₂³	semidirect
492. #388	C₂³	semidirect
493. #388	C₂³	semidirect
494. #388	C₂³	semidirect
495. #388	C₂³	semidirect
496. #388	C₂³	semidirect
497. #388	C₂³	semidirect
498. #388	C₂³	semidirect
499. #388	C₂³	semidirect
500. #388	C₂³	semidirect
501. #388	C₂³	semidirect
502. #388	C₂³	semidirect
503. #388	C₂³	semidirect
504. #388	C₂³	semidirect
505. #387	C₂³	semidirect
506. #387	C₂³	semidirect
507. #387	C₂³	semidirect
508. #387	C₂³	semidirect
509. #387	C₂³	semidirect
510. #387	C₂³	semidirect
511. #387	C₂³	semidirect
512. #387	C₂³	semidirect
513. #387	C₂³	semidirect
514. #387	C₂³	semidirect
515. #387	C₂³	semidirect
516. #387	C₂³	semidirect
517. #387	C₂³	semidirect
518. #387	C₂³	semidirect
519. #387	C₂³	semidirect
520. #387	C₂³	semidirect
521. #387	C₂³	semidirect
522. #387	C₂³	semidirect
537. #386	C₂³	semidirect
538. #386	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. #384	C₂³	semidirect
565. #382	C₂³	semidirect
566. #382	C₂³	semidirect
572. #381	C₂³	semidirect
593. #380	C₂³	semidirect
594. #380	C₂³	semidirect
608. C₄×C₄⋊C₄	C₂³	semidirect
609. C₄×C₄⋊C₄	C₂³	semidirect
610. C₄×C₄⋊C₄	C₂³	semidirect
611. C₄×C₄⋊C₄	C₂³	semidirect
612. C₄×C₄⋊C₄	C₂³	semidirect
613. C₄×C₄⋊C₄	C₂³	semidirect
614. C₄×C₄⋊C₄	C₂³	semidirect
615. C₄×C₄⋊C₄	C₂³	semidirect
638. C₄×C₂²⋊C₄	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#59012	2
#59006	2
#48909	2
#48042	2
#43528	2
#43179	2
#42075	2
#42072	2
#41388	2
#40565	2
#40542	2
#39540	2
#39511	2
#39495	2
#37451	2
#35839	2
#35825	2
#35695	2
#35079	2
C₂×#2539	2
C₂×#2626	2
#34379	2
#34245	2
#34176	2