Subgroups — #7757974

Order 512.

7200 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59006	C₂	1	4	yes	maximal, complemented
2	#58991	C₂	1	4	yes	maximal, complemented
3	#48007	C₂	1	4	yes	maximal, complemented
4	#48005	C₂	1	4	yes	maximal, complemented
5	#43178	C₂	1	4	yes	maximal, complemented
6	#43099	C₂	1	4	yes	maximal, complemented
7	#41962	C₂	1	4	yes	maximal, complemented
8	#41058	C₂	1	4	yes	maximal, complemented
9	#41038	C₂	1	4	yes	maximal, complemented
10	#40546	C₂	1	2	yes	maximal, complemented
11	#40540	C₂	1	2	yes	maximal, complemented
12	#39558	C₂	1	4	yes	maximal, complemented
13	#39464	C₂	1	4	yes	maximal, complemented
14	#37440	C₂	1	1	yes	maximal, characteristic, complemented
15	#35732	C₂	1	2	yes	maximal, complemented
16	#35694	C₂	1	2	yes	maximal, complemented
17	#35681	C₂	1	4	yes	maximal, complemented
18	#35065	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#2433	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#2613	C₂	1	1	yes	maximal, characteristic, complemented
21	#34358	C₂	1	1	yes	maximal, characteristic, complemented
22	#34238	C₂	1	1	yes	maximal, characteristic, complemented
23	#34171	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁴×D₄	C₂²	1	1	yes	characteristic
25	C₂×#551	C₂²	1	4	yes	complemented
26	C₂×#546	C₂²	1	4	yes	complemented
27	C₂×#546	C₂²	1	4	yes	complemented
28	C₂²×#127	C₂²	1	2	yes	complemented
29	C₂²×#123	C₂²	1	1	yes	characteristic
30	C₂²×#121	C₂²	1	1	yes	characteristic
31	C₂²×#120	C₂²	1	2	yes	—
32	C₂²×#120	C₂²	1	4	yes	—
33	C₂×#518	C₂²	1	2	yes	complemented
34	#2855	C₂²	1	4	yes	complemented
35	#2829	C₂²	1	4	yes	complemented
36	#2828	C₂²	1	4	yes	complemented
37	#2813	C₂²	1	4	yes	complemented
38	#2803	C₂²	1	4	yes	complemented
39	#2803	C₂²	1	4	yes	complemented
40	#2797	C₂²	1	4	yes	complemented
41	#2797	C₂²	1	4	yes	complemented
42	#2796	C₂²	1	4	yes	complemented
43	#2786	C₂²	1	4	yes	complemented
44	#2752	C₂²	1	4	yes	complemented
45	#2751	C₂²	1	4	yes	complemented
46	#2740	C₂²	1	4	yes	complemented
47	#2733	C₂²	1	4	yes	complemented
48	#2730	C₂²	1	4	yes	complemented
49	#2714	C₂²	1	4	yes	complemented
50	#2714	C₂²	1	4	yes	complemented
51	#2710	C₂²	1	4	yes	complemented
52	#2709	C₂²	1	4	yes	complemented
53	#2709	C₂²	1	4	yes	complemented
54	#2709	C₂²	1	4	yes	complemented
55	#2709	C₂²	1	4	yes	complemented
56	#2705	C₂²	1	4	yes	complemented
57	#2697	C₂²	1	4	yes	complemented
58	#2685	C₂²	1	4	yes	complemented
59	#2685	C₂²	1	4	yes	complemented
60	#2684	C₂²	1	4	yes	complemented
61	#2682	C₂²	1	4	yes	complemented
62	#2678	C₂²	1	4	yes	complemented
63	#2678	C₂²	1	4	yes	complemented
64	#2673	C₂²	1	4	yes	complemented
65	#2673	C₂²	1	4	yes	complemented
66	#2673	C₂²	1	4	yes	complemented
67	#2673	C₂²	1	4	yes	complemented
68	#2670	C₂²	1	4	yes	complemented
69	#2668	C₂²	1	4	yes	complemented
70	#2667	C₂²	1	2	yes	complemented
71	#2665	C₂²	1	2	yes	complemented
72	#2662	C₂²	1	4	yes	complemented
73	#2661	C₂²	1	2	yes	complemented
74	#2661	C₂²	1	2	yes	complemented
75	#2661	C₂²	1	4	yes	complemented
76	#2661	C₂²	1	4	yes	complemented
77	#2648	C₂²	1	4	yes	complemented
78	#2635	C₂²	1	4	yes	complemented
79	#2630	C₂²	1	4	yes	complemented
80	#2623	C₂²	1	2	yes	complemented
81	#2618	C₂²	1	2	yes	complemented
82	#2617	C₂²	1	2	yes	complemented
83	#2613	C₂²	1	4	yes	—
84	#2613	C₂²	1	2	yes	—
85	#2613	C₂²	1	2	yes	—
86	#2613	C₂²	1	2	yes	complemented
87	#2613	C₂²	1	2	yes	complemented
88	#2613	C₂²	1	4	yes	complemented
89	#2613	C₂²	1	2	yes	complemented
90	#2608	C₂²	1	2	yes	complemented
91	#2607	C₂²	1	2	yes	complemented
92	#2602	C₂²	1	4	yes	complemented
93	#2602	C₂²	1	4	yes	complemented
94	#2601	C₂²	1	4	yes	complemented
95	#2600	C₂²	1	4	yes	complemented
96	#2595	C₂²	1	4	yes	complemented
97	#2591	C₂²	1	2	yes	complemented
98	#2569	C₂²	1	2	yes	complemented
99	#2560	C₂²	1	4	yes	complemented
100	#2557	C₂²	1	4	yes	complemented
101	#2555	C₂²	1	4	yes	complemented
102	#2554	C₂²	1	4	yes	complemented
103	#2549	C₂²	1	2	yes	complemented
104	#2544	C₂²	1	4	yes	complemented
105	#2544	C₂²	1	4	yes	complemented
106	#2539	C₂²	1	2	yes	complemented
107	#2539	C₂²	1	4	yes	complemented
108	#2534	C₂²	1	4	yes	complemented
109	#2534	C₂²	1	4	yes	complemented
110	#2516	C₂²	1	4	yes	complemented
111	#2480	C₂²	1	4	yes	complemented
112	#2480	C₂²	1	4	yes	complemented
113	#2472	C₂²	1	4	yes	complemented
114	#2472	C₂²	1	4	yes	complemented
115	#2472	C₂²	1	4	yes	complemented
116	#2472	C₂²	1	4	yes	complemented
117	#2471	C₂²	1	4	yes	complemented
118	#2467	C₂²	1	4	yes	complemented
119	#2464	C₂²	1	4	yes	complemented
120	#2464	C₂²	1	4	yes	complemented
121	#2461	C₂²	1	4	yes	complemented
122	#2459	C₂²	1	4	yes	complemented
123	#2457	C₂²	1	4	yes	complemented
124	#2456	C₂²	1	4	yes	complemented
125	#2456	C₂²	1	4	yes	complemented
126	#2455	C₂²	1	4	yes	complemented
127	#2445	C₂²	1	4	yes	complemented
128	#2445	C₂²	1	4	yes	complemented
129	#2438	C₂²	1	4	yes	complemented
130	#2437	C₂²	1	4	yes	—
131	#2437	C₂²	1	4	yes	complemented
132	#2435	C₂²	1	4	yes	complemented
133	#2433	C₂²	1	4	yes	—
134	#2433	C₂²	1	2	yes	—
135	#2433	C₂²	1	2	yes	—
136	#2433	C₂²	1	4	yes	complemented
137	#2433	C₂²	1	4	yes	complemented
138	#2431	C₂²	1	4	yes	complemented
139	#2431	C₂²	1	4	yes	complemented
140	#2428	C₂²	1	4	yes	complemented
141	#2428	C₂²	1	4	yes	complemented
142	#2424	C₂²	1	4	yes	complemented
143	#2424	C₂²	1	4	yes	complemented
144	#2418	C₂²	1	4	yes	complemented
145	#2418	C₂²	1	4	yes	complemented
146	#2418	C₂²	1	4	yes	complemented
147	#2418	C₂²	1	4	yes	complemented
148	#2414	C₂²	1	4	yes	complemented
149	#2412	C₂²	1	4	yes	complemented
150	#2412	C₂²	1	4	yes	complemented
151	#2412	C₂²	1	4	yes	complemented
152	#2412	C₂²	1	4	yes	complemented
153	#2411	C₂²	1	4	yes	complemented
154	#2411	C₂²	1	4	yes	complemented
155	#2411	C₂²	1	4	yes	complemented
156	#2410	C₂²	1	4	yes	complemented
157	#2410	C₂²	1	4	yes	complemented
158	#2410	C₂²	1	4	yes	complemented
159	#2410	C₂²	1	4	yes	complemented
160	#2408	C₂²	1	4	yes	complemented
161	#2408	C₂²	1	4	yes	complemented
162	#2407	C₂²	1	4	yes	complemented
163	#2405	C₂²	1	2	yes	—
164	#2405	C₂²	1	4	yes	complemented
165	#2405	C₂²	1	4	yes	complemented
166	#2404	C₂²	1	4	yes	complemented
167	#2403	C₂²	1	2	yes	—
168	#2392	C₂²	1	4	yes	complemented
169	#2388	C₂²	1	4	yes	complemented
170	C₂×#394	C₂²	1	2	yes	complemented
171	C₂×#394	C₂²	1	2	yes	complemented
172	C₂×#392	C₂²	1	2	yes	complemented
173	C₂×#392	C₂²	1	2	yes	complemented
174	C₂×#392	C₂²	1	2	yes	complemented
175	C₂×#392	C₂²	1	2	yes	complemented
176	#2377	C₂²	1	4	yes	complemented
177	#2374	C₂²	1	4	yes	complemented
178	#2364	C₂²	1	2	yes	complemented
179	#2364	C₂²	1	2	yes	complemented
180	#2359	C₂²	1	4	yes	complemented
181	#2358	C₂²	1	4	yes	complemented
182	#2358	C₂²	1	4	yes	complemented
183	#2358	C₂²	1	4	yes	complemented
184	#2345	C₂²	1	2	yes	complemented
185	#2342	C₂²	1	2	yes	—
186	#2342	C₂²	1	4	yes	complemented
187	#2342	C₂²	1	2	yes	complemented
188	#2342	C₂²	1	4	yes	complemented
189	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
190	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
191	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
192	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
193	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
194	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
195	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
196	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
197	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
198	#2335	C₂²	1	4	yes	complemented
199	#2333	C₂²	1	2	yes	complemented
200	#2333	C₂²	1	2	yes	complemented
201	#2329	C₂²	1	4	yes	complemented
202	#2325	C₂²	1	4	yes	complemented
203	#2313	C₂²	1	2	yes	complemented
204	#2313	C₂²	1	1	yes	characteristic, complemented
205	#2312	C₂²	1	1	yes	characteristic, complemented
206	#2309	C₂²	1	2	yes	complemented
207	#2308	C₂²	1	4	yes	complemented
208	#2308	C₂²	1	2	yes	complemented
209	C₄×#123	C₂²	1	4	yes	complemented
210	C₂×#390	C₂²	1	2	yes	complemented
211	#2280	C₂²	1	1	yes	characteristic
212	#2280	C₂²	1	1	yes	characteristic
213	C₂×#381	C₂²	1	1	yes	characteristic
214	C₂×#379	C₂²	1	4	yes	—
215	C₂×#379	C₂²	1	2	yes	—
216	#2274	C₂²	1	1	yes	characteristic, complemented
217	#2273	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
219	C₂⁶	C₂³	1	2	yes	—
220	C₂²×#41	C₂³	1	4	yes	complemented
221	C₂³×D₄	—	2	8	no	—
222	C₂³×D₄	—	4	8	no	—
223	C₂³×D₄	C₂³	1	1	yes	characteristic
224	C₂³×D₄	C₂³	1	2	yes	—
225	C₂³×D₄	C₂³	1	1	yes	characteristic
226	C₂³×D₄	C₂³	1	1	yes	characteristic
227	C₂³×D₄	C₂³	1	2	yes	—
228	C₂³×D₄	C₂³	1	2	yes	—
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	C₂³×D₄	C₂³	1	4	yes	—
234	C₂³×D₄	C₂³	1	4	yes	—
235	C₂³×D₄	C₂³	1	4	yes	—
236	C₂⁴×C₄	C₂³	1	1	yes	characteristic
237	#551	—	4	16	no	—
238	#546	—	4	16	no	—
239	#546	—	4	16	no	—
240	C₂×#127	—	4	8	no	—
241	C₂×#127	C₂³	1	4	yes	—
242	C₂×#127	C₂³	1	4	yes	—
243	C₂×#127	C₂³	1	4	yes	—
244	C₂×#127	C₂³	1	4	yes	—
245	C₂×#126	C₂³	1	4	yes	complemented
246	C₂×#126	C₂³	1	4	yes	complemented
247	C₂×#124	C₂³	1	4	yes	complemented
248	C₂×#124	C₂³	1	4	yes	complemented
249	C₂×#124	C₂³	1	4	yes	complemented
250	C₂×#124	C₂³	1	4	yes	complemented
251	C₂×#123	—	2	8	no	—
252	C₂×#123	C₂³	1	2	yes	—
253	C₂×#123	C₂³	1	2	yes	—
254	C₂×#123	C₂³	1	2	yes	—
255	C₂×#123	C₂³	1	2	yes	—
256	C₂×#123	C₂³	1	4	yes	—
257	C₂×#123	C₂³	1	4	yes	complemented
258	C₂×#123	C₂³	1	4	yes	complemented
259	C₂×#123	C₂³	1	4	yes	complemented
260	C₂×#123	C₂³	1	4	yes	complemented
261	C₂×#123	C₂³	1	4	yes	complemented
262	C₂×#123	C₂³	1	4	yes	complemented
263	C₂×#123	C₂³	1	4	yes	complemented
264	C₂×#123	C₂³	1	4	yes	complemented
265	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
266	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
267	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
268	C₂×#121	—	2	8	no	—
269	C₂×#121	C₂³	1	2	yes	—
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	4	yes	complemented
274	C₂×#121	C₂³	1	4	yes	complemented
275	C₂×#121	C₂³	1	4	yes	complemented
276	C₂×#121	C₂³	1	4	yes	complemented
277	C₂×#121	C₂³	1	4	yes	complemented
278	C₂×#121	C₂³	1	4	yes	complemented
279	C₂×#121	C₂³	1	4	yes	complemented
280	C₂×#121	C₂³	1	4	yes	complemented
281	C₂×#121	C₂³	1	4	yes	complemented
282	C₂×#120	—	4	16	no	—
283	C₂×#120	—	4	8	no	—
284	C₂×#120	C₂³	1	4	yes	—
285	C₂×#120	C₂³	1	4	yes	—
286	C₂×#120	C₂³	1	4	yes	—
287	C₂×#120	C₂³	1	4	yes	—
288	C₂×#120	C₂³	1	4	yes	—
289	C₂×#120	C₂³	1	4	yes	—
290	C₂×#120	C₂³	1	4	yes	—
291	C₂×#120	C₂³	1	4	yes	—
292	C₂×#120	C₂³	1	4	yes	—
293	C₂×#120	C₂³	1	4	yes	—
294	C₂×#120	C₂³	1	4	yes	—
295	C₂×#120	C₂³	1	4	yes	—
296	C₂×#120	C₂³	1	4	yes	—
297	C₂×#120	C₂³	1	4	yes	—
298	#518	—	4	8	no	—
299	C₂×C₄×D₄	C₂³	1	4	yes	—
300	C₂×C₄×D₄	C₂³	1	4	yes	—
301	C₂×C₄×D₄	C₂³	1	4	yes	—
302	C₂×C₄×D₄	C₂³	1	4	yes	—
303	C₂×C₄×D₄	C₂³	1	4	yes	—
304	C₂×C₄×D₄	C₂³	1	4	yes	—
305	C₂×C₄×D₄	C₂³	1	4	yes	—
306	C₂×C₄×D₄	C₂³	1	4	yes	complemented
307	C₂×C₄×D₄	C₂³	1	4	yes	complemented
308	C₂×C₄×D₄	C₂³	1	4	yes	complemented
309	C₂×C₄×D₄	C₂³	1	4	yes	complemented
310	C₂×#117	C₂³	1	2	yes	—
311	C₂×#117	C₂³	1	2	yes	—
312	C₂×#117	C₂³	1	2	yes	—
313	C₂×#117	C₂³	1	4	yes	complemented
314	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
315	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
318	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
320	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
321	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
323	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
327	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
328	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
330	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
331	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
332	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
333	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
334	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
335	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
336	C₂²×C₄²	C₂³	1	2	yes	—
337	#400	C₂³	1	4	yes	complemented
338	#400	C₂³	1	4	yes	complemented
339	#399	C₂³	1	4	yes	—
340	#399	C₂³	1	4	yes	complemented
341	#399	C₂³	1	4	yes	complemented
342	#399	C₂³	1	4	yes	complemented
343	#398	C₂³	1	2	yes	complemented
344	#398	C₂³	1	4	yes	complemented
345	#398	C₂³	1	2	yes	complemented
346	#398	C₂³	1	4	yes	complemented
347	#397	C₂³	1	4	yes	complemented
348	#397	C₂³	1	4	yes	complemented
349	#397	C₂³	1	4	yes	complemented
350	#397	C₂³	1	4	yes	complemented
351	#397	C₂³	1	4	yes	complemented
352	#397	C₂³	1	4	yes	complemented
353	#397	C₂³	1	2	yes	complemented
354	#397	C₂³	1	2	yes	complemented
355	#397	C₂³	1	4	yes	complemented
356	#397	C₂³	1	4	yes	complemented
357	#397	C₂³	1	4	yes	complemented
358	#397	C₂³	1	4	yes	complemented
359	#396	C₂³	1	4	yes	—
360	#396	C₂³	1	4	yes	—
361	#396	C₂³	1	4	yes	complemented
362	#396	C₂³	1	4	yes	complemented
363	#396	C₂³	1	4	yes	complemented
364	#396	C₂³	1	4	yes	complemented
365	#396	C₂³	1	4	yes	complemented
366	#396	C₂³	1	4	yes	complemented
367	#395	C₂³	1	4	yes	complemented
368	#394	C₂³	1	4	yes	—
369	#394	C₂³	1	2	yes	—
370	#394	C₂³	1	4	yes	—
371	#394	C₂³	1	4	yes	—
372	#394	C₂³	1	4	yes	—
373	#394	C₂³	1	2	yes	—
374	#394	C₂³	1	2	yes	—
375	#394	C₂³	1	4	yes	—
376	#394	C₂³	1	4	yes	—
377	#394	C₂³	1	2	yes	—
378	#394	C₂³	1	4	yes	—
379	#394	C₂³	1	4	yes	—
380	#394	C₂³	1	4	yes	complemented
381	#394	C₂³	1	4	yes	complemented
382	#394	C₂³	1	4	yes	complemented
383	#394	C₂³	1	4	yes	complemented
384	#394	C₂³	1	4	yes	complemented
385	#394	C₂³	1	4	yes	complemented
386	#394	C₂³	1	4	yes	complemented
387	#394	C₂³	1	4	yes	complemented
388	#394	C₂³	1	4	yes	complemented
389	#394	C₂³	1	4	yes	complemented
390	#394	C₂³	1	4	yes	complemented
391	#394	C₂³	1	4	yes	complemented
392	#394	C₂³	1	4	yes	complemented
393	#394	C₂³	1	4	yes	complemented
394	#394	C₂³	1	2	yes	complemented
395	#394	C₂³	1	2	yes	complemented
396	#394	C₂³	1	4	yes	complemented
397	#394	C₂³	1	4	yes	complemented
398	#394	C₂³	1	4	yes	complemented
399	#394	C₂³	1	4	yes	complemented
400	#394	C₂³	1	4	yes	complemented
401	#394	C₂³	1	4	yes	complemented
402	#394	C₂³	1	4	yes	complemented
403	#394	C₂³	1	4	yes	complemented
404	#394	C₂³	1	4	yes	complemented
405	#394	C₂³	1	4	yes	complemented
406	#394	C₂³	1	4	yes	complemented
407	#394	C₂³	1	4	yes	complemented
408	#394	C₂³	1	4	yes	complemented
409	#393	C₂³	1	4	yes	—
410	#393	C₂³	1	4	yes	complemented
411	#393	C₂³	1	4	yes	complemented
412	#392	C₂³	1	2	yes	—
413	#392	C₂³	1	4	yes	—
414	#392	C₂³	1	4	yes	—
415	#392	C₂³	1	4	yes	—
416	#392	C₂³	1	2	yes	—
417	#392	C₂³	1	2	yes	—
418	#392	C₂³	1	4	yes	—
419	#392	C₂³	1	4	yes	—
420	#392	C₂³	1	4	yes	—
421	#392	C₂³	1	4	yes	—
422	#392	C₂³	1	4	yes	—
423	#392	C₂³	1	2	yes	—
424	#392	C₂³	1	4	yes	—
425	#392	C₂³	1	4	yes	—
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	4	yes	—
432	#392	C₂³	1	4	yes	complemented
433	#392	C₂³	1	4	yes	complemented
434	#392	C₂³	1	2	yes	complemented
435	#392	C₂³	1	2	yes	complemented
436	#392	C₂³	1	4	yes	complemented
437	#392	C₂³	1	4	yes	complemented
438	#392	C₂³	1	4	yes	complemented
439	#392	C₂³	1	4	yes	complemented
440	#392	C₂³	1	4	yes	complemented
441	#391	C₂³	1	4	yes	complemented
442	#391	C₂³	1	4	yes	complemented
443	#391	C₂³	1	4	yes	complemented
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	—
452	#390	C₂³	1	4	yes	—
453	#390	C₂³	1	4	yes	—
454	#390	C₂³	1	4	yes	—
455	#390	C₂³	1	4	yes	complemented
456	#390	C₂³	1	4	yes	complemented
457	#390	C₂³	1	4	yes	complemented
458	#390	C₂³	1	4	yes	complemented
459	#390	C₂³	1	4	yes	complemented
460	#390	C₂³	1	4	yes	complemented
461	#390	C₂³	1	4	yes	complemented
462	#390	C₂³	1	4	yes	complemented
463	#390	C₂³	1	4	yes	complemented
464	#390	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	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	#388	C₂³	1	4	yes	complemented
479	#388	C₂³	1	4	yes	complemented
480	#388	C₂³	1	4	yes	complemented
481	#388	C₂³	1	4	yes	complemented
482	#388	C₂³	1	4	yes	complemented
483	#388	C₂³	1	4	yes	complemented
484	#388	C₂³	1	4	yes	complemented
485	#388	C₂³	1	4	yes	complemented
486	#388	C₂³	1	4	yes	complemented
487	#388	C₂³	1	4	yes	complemented
488	#388	C₂³	1	4	yes	complemented
489	#388	C₂³	1	4	yes	complemented
490	#388	C₂³	1	4	yes	complemented
491	#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	#387	C₂³	1	4	yes	complemented
498	#387	C₂³	1	4	yes	complemented
499	#387	C₂³	1	4	yes	complemented
500	#387	C₂³	1	4	yes	complemented
501	#387	C₂³	1	4	yes	complemented
502	#387	C₂³	1	4	yes	complemented
503	#387	C₂³	1	4	yes	complemented
504	#387	C₂³	1	4	yes	complemented
505	#387	C₂³	1	4	yes	complemented
506	#387	C₂³	1	4	yes	complemented
507	#387	C₂³	1	4	yes	complemented
508	#387	C₂³	1	4	yes	complemented
509	#387	C₂³	1	4	yes	complemented
510	#387	C₂³	1	4	yes	complemented
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	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	complemented
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	#386	C₂³	1	4	yes	complemented
538	#386	C₂³	1	4	yes	complemented
539	#386	C₂³	1	4	yes	complemented
540	#386	C₂³	1	4	yes	complemented
541	#386	C₂³	1	4	yes	complemented
542	#386	C₂³	1	4	yes	complemented
543	#386	C₂³	1	4	yes	complemented
544	#386	C₂³	1	4	yes	complemented
545	#386	C₂³	1	4	yes	complemented
546	#386	C₂³	1	4	yes	complemented
547	#386	C₂³	1	4	yes	complemented
548	#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	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	#381	C₂³	1	2	yes	—
562	#381	C₂³	1	2	yes	—
563	#381	C₂³	1	2	yes	—
564	#381	C₂³	1	2	yes	—
565	#381	C₂³	1	1	yes	characteristic
566	#381	C₂³	1	1	yes	characteristic
567	#381	C₂³	1	2	yes	—
568	#381	C₂³	1	2	yes	—
569	#381	C₂³	1	4	yes	complemented
570	#381	C₂³	1	4	yes	complemented
571	#380	C₂³	1	2	yes	—
572	#380	C₂³	1	4	yes	—
573	#380	C₂³	1	2	yes	—
574	#380	C₂³	1	4	yes	—
575	#380	C₂³	1	2	yes	—
576	#380	C₂³	1	2	yes	—
577	#380	C₂³	1	2	yes	—
578	#380	C₂³	1	2	yes	—
579	#380	C₂³	1	4	yes	—
580	#380	C₂³	1	4	yes	complemented
581	#380	C₂³	1	4	yes	complemented
582	#379	C₂³	1	4	yes	—
583	#379	C₂³	1	4	yes	—
584	#379	C₂³	1	4	yes	—
585	#379	C₂³	1	2	yes	—
586	#379	C₂³	1	2	yes	—
587	#379	C₂³	1	4	yes	—
588	#379	C₂³	1	4	yes	—
589	#379	C₂³	1	4	yes	—
590	#379	C₂³	1	4	yes	—
591	#379	C₂³	1	4	yes	—
592	#379	C₂³	1	4	yes	—
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	4	yes	—
595	#379	C₂³	1	4	yes	—
596	#379	C₂³	1	2	yes	—
597	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
598	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
599	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
600	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
601	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
602	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
603	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
604	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
605	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
606	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
607	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
609	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
610	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
611	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
615	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
616	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
617	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
618	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
619	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
620	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
621	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
622	C₂×#95	C₂³	1	2	yes	—
623	C₂×#95	C₂³	1	2	yes	—
624	C₂×#95	C₂³	1	2	yes	—
625	C₂⁵	—	2	8	no	—
626	C₂⁵	—	2	8	no	—
627	C₂⁵	—	4	4	no	—
628	C₂⁵	—	4	8	no	—
629	C₂⁵	—	8	4	no	—
630	C₂⁵	C₂⁴	1	4	yes	—
631	C₂⁵	C₂⁴	1	1	yes	characteristic
632	C₂⁵	C₂⁴	1	1	yes	characteristic
633	C₂⁵	C₂⁴	1	2	yes	—
634	C₂⁵	C₂⁴	1	2	yes	—
635	C₂⁵	C₂⁴	1	4	yes	—
636	C₂⁵	C₂⁴	1	2	yes	—
637	C₂×#41	—	4	8	no	—
638	C₂×#41	—	4	8	no	—
639	C₂×#41	—	8	4	no	—
640	C₂²×Q₈	C₂⁴	1	4	yes	—
641	C₂²×D₄	—	2	8	no	—
642	C₂²×D₄	—	2	8	no	—
643	C₂²×D₄	—	2	8	no	—
644	C₂²×D₄	—	2	4	no	—
645	C₂²×D₄	—	2	16	no	—
646	C₂²×D₄	—	2	4	no	—
647	C₂²×D₄	—	2	4	no	—
648	C₂²×D₄	—	2	8	no	—
649	C₂²×D₄	—	2	8	no	—
650	C₂²×D₄	—	2	8	no	—
651	C₂²×D₄	—	2	8	no	—
652	C₂²×D₄	—	2	8	no	—
653	C₂²×D₄	—	2	4	no	—
654	C₂²×D₄	—	4	8	no	—
655	C₂²×D₄	—	4	8	no	—
656	C₂²×D₄	—	4	4	no	—
657	C₂²×D₄	—	4	4	no	—
658	C₂²×D₄	—	4	4	no	—
659	C₂²×D₄	—	4	8	no	—
660	C₂²×D₄	—	4	8	no	—
661	C₂²×D₄	—	4	8	no	—
662	C₂²×D₄	—	4	8	no	—
663	C₂²×D₄	—	4	8	no	—
664	C₂²×D₄	—	4	8	no	—
665	C₂²×D₄	—	4	4	no	—
666	C₂²×D₄	—	4	8	no	—
667	C₂²×D₄	—	4	8	no	—
668	C₂²×D₄	—	4	64	no	—
669	C₂²×D₄	—	8	4	no	—
670	C₂²×D₄	—	8	4	no	—
671	C₂²×D₄	—	8	4	no	—
672	C₂²×D₄	C₂⁴	1	2	yes	—
673	C₂²×D₄	C₂⁴	1	2	yes	—
674	C₂²×D₄	C₂⁴	1	2	yes	—
675	C₂²×D₄	C₂⁴	1	4	yes	—
676	C₂²×D₄	C₂⁴	1	4	yes	—
677	C₂²×D₄	C₂⁴	1	4	yes	—
678	C₂²×D₄	C₂⁴	1	4	yes	—
679	C₂²×D₄	C₂⁴	1	4	yes	—
680	C₂²×D₄	C₂⁴	1	4	yes	—
681	C₂²×D₄	C₂⁴	1	4	yes	—
682	C₂²×D₄	C₂⁴	1	2	yes	—
683	C₂²×D₄	C₂⁴	1	4	yes	—
684	C₂²×D₄	C₂⁴	1	4	yes	—
685	C₂²×D₄	C₂⁴	1	4	yes	—
686	C₂²×D₄	C₂⁴	1	4	yes	—
687	C₂²×D₄	C₂⁴	1	4	yes	—
688	C₂²×D₄	C₂⁴	1	2	yes	—
689	C₂²×D₄	C₂⁴	1	2	yes	—
690	C₂²×D₄	C₂⁴	1	2	yes	—
691	C₂²×D₄	C₂⁴	1	2	yes	—
692	C₂²×D₄	C₂⁴	1	4	yes	—
693	C₂²×D₄	C₂⁴	1	4	yes	—
694	C₂²×D₄	C₂⁴	1	4	yes	—
695	C₂²×D₄	C₂⁴	1	4	yes	—
696	C₂²×D₄	C₂⁴	1	4	yes	—
697	C₂²×D₄	C₂⁴	1	4	yes	—
698	C₂³×C₄	—	4	4	no	—
699	C₂³×C₄	#41	1	8	yes	complemented
700	C₂³×C₄	C₂⁴	1	1	yes	characteristic
701	C₂³×C₄	C₂⁴	1	4	yes	—
702	C₂³×C₄	C₂⁴	1	1	yes	characteristic
703	C₂³×C₄	C₂⁴	1	1	yes	characteristic
704	C₂³×C₄	C₂⁴	1	1	yes	characteristic
705	C₂³×C₄	C₂⁴	1	2	yes	—
706	C₂³×C₄	C₂⁴	1	1	yes	characteristic
707	C₂³×C₄	C₂⁴	1	4	yes	—
708	C₂³×C₄	C₂⁴	1	4	yes	—
709	C₂³×C₄	C₂⁴	1	4	yes	—
710	C₂³×C₄	C₂⁴	1	4	yes	—
711	C₂³×C₄	C₂⁴	1	4	yes	—
712	C₂³×C₄	C₂⁴	1	4	yes	—
713	C₂³×C₄	C₂⁴	1	4	yes	—
714	C₂³×C₄	C₂⁴	1	4	yes	—
715	C₂³×C₄	C₂⁴	1	1	yes	characteristic
716	C₂³×C₄	C₂⁴	1	1	yes	characteristic
717	C₂³×C₄	C₂⁴	1	1	yes	characteristic
718	C₂³×C₄	C₂⁴	1	1	yes	characteristic
719	#127	—	4	8	no	—
720	#127	—	4	8	no	—
721	#127	—	4	8	no	—
722	#127	—	4	8	no	—
723	#126	—	4	8	no	—
724	#126	—	4	8	no	—
725	#124	—	4	8	no	—
726	#124	—	4	8	no	—
727	#124	—	4	8	no	—
728	#124	—	8	4	no	—
729	#123	—	2	8	no	—
730	#123	—	2	8	no	—
731	#123	—	2	8	no	—
732	#123	—	2	8	no	—
733	#123	—	4	8	no	—
734	#123	—	4	8	no	—
735	#123	—	4	8	no	—
736	#123	—	4	8	no	—
737	#123	—	4	8	no	—
738	#123	—	4	8	no	—
739	#123	—	4	8	no	—
740	#123	—	8	4	no	—
741	#123	—	8	4	no	—
742	C₂²⋊Q₈	—	2	16	no	—
743	C₂²⋊Q₈	—	4	8	no	—
744	C₂²⋊Q₈	—	4	8	no	—
745	#121	—	2	8	no	—
746	#121	—	2	8	no	—
747	#121	—	2	8	no	—
748	#121	—	2	8	no	—
749	#121	—	4	8	no	—
750	#121	—	4	8	no	—
751	#121	—	4	8	no	—
752	#121	—	4	8	no	—
753	#121	—	4	8	no	—
754	#121	—	4	8	no	—
755	#121	—	8	4	no	—
756	#121	—	8	4	no	—
757	#121	—	8	4	no	—
758	#120	—	2	16	no	—
759	#120	—	2	16	no	—
760	#120	—	2	16	no	—
761	#120	—	4	8	no	—
762	#120	—	4	8	no	—
763	#120	—	4	8	no	—
764	#120	—	4	8	no	—
765	#120	—	4	8	no	—
766	#120	—	4	8	no	—
767	#120	—	4	8	no	—
768	#120	—	4	8	no	—
769	#120	—	4	8	no	—
770	#120	—	4	8	no	—
771	#120	—	4	8	no	—
772	C₄×D₄	—	4	8	no	—
773	C₄×D₄	—	4	8	no	—
774	C₄×D₄	—	4	8	no	—
775	C₄×D₄	—	4	8	no	—
776	C₄×D₄	—	4	8	no	—
777	C₄×D₄	—	4	8	no	—
778	C₄×D₄	—	4	8	no	—
779	C₄×D₄	—	4	8	no	—
780	C₄×D₄	—	4	8	no	—
781	C₄×D₄	—	4	8	no	—
782	C₄×D₄	—	8	4	no	—
783	#117	—	2	8	no	—
784	#117	—	4	8	no	—
785	#117	—	4	4	no	—
786	#117	—	4	4	no	—
787	C₂×C₄⋊C₄	—	2	4	no	—
788	C₂×C₄⋊C₄	—	2	4	no	—
789	C₂×C₄⋊C₄	—	2	4	no	—
790	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
791	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
792	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
793	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
794	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
795	C₂×C₄⋊C₄	C₂⁴	1	2	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×C₄⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
814	C₂×C₂²⋊C₄	—	2	4	no	—
815	C₂×C₂²⋊C₄	—	2	16	no	—
816	C₂×C₂²⋊C₄	—	2	8	no	—
817	C₂×C₂²⋊C₄	—	2	4	no	—
818	C₂×C₂²⋊C₄	—	2	4	no	—
819	C₂×C₂²⋊C₄	—	2	8	no	—
820	C₂×C₂²⋊C₄	—	2	8	no	—
821	C₂×C₂²⋊C₄	—	4	8	no	—
822	C₂×C₂²⋊C₄	—	4	8	no	—
823	C₂×C₂²⋊C₄	—	4	8	no	—
824	C₂×C₂²⋊C₄	—	4	4	no	—
825	C₂×C₂²⋊C₄	—	4	8	no	—
826	C₂×C₂²⋊C₄	—	4	8	no	—
827	C₂×C₂²⋊C₄	—	4	8	no	—
828	C₂×C₂²⋊C₄	—	4	8	no	—
829	C₂×C₂²⋊C₄	—	4	8	no	—
830	C₂×C₂²⋊C₄	—	8	4	no	—
831	C₂×C₂²⋊C₄	—	8	4	no	—
832	C₂×C₂²⋊C₄	—	8	4	no	—
833	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
894	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
895	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
898	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
899	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
901	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
902	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
903	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
904	C₂×C₄²	—	4	4	no	—
905	C₂×C₄²	C₂⁴	1	4	yes	—
906	C₂×C₄²	C₂⁴	1	2	yes	—
907	C₂×C₄²	C₂⁴	1	2	yes	—
908	C₂×C₄²	C₂⁴	1	2	yes	—
909	C₂×C₄²	C₂⁴	1	2	yes	—
910	C₂×C₄²	C₂⁴	1	4	yes	—
911	C₂×C₄²	C₂⁴	1	4	yes	—
912	C₂×C₄²	C₂⁴	1	4	yes	—
913	C₂×C₄²	C₂⁴	1	4	yes	—
914	C₂×C₄²	C₂⁴	1	2	yes	—
915	C₂×C₄²	C₂⁴	1	4	yes	—
916	C₂×C₄²	C₂⁴	1	2	yes	—
917	#95	C₂⁴	1	2	yes	—
918	#95	C₂⁴	1	4	yes	—
919	#95	C₂⁴	1	2	yes	—
920	#95	C₂⁴	1	2	yes	—
921	#95	C₂⁴	1	2	yes	—
922	#95	C₂⁴	1	4	yes	—
923	#95	C₂⁴	1	2	yes	—
924	#95	C₂⁴	1	4	yes	—
925	#95	C₂⁴	1	2	yes	—
926	#95	C₂⁴	1	2	yes	—
927	#95	C₂⁴	1	4	yes	—
928	#95	C₂⁴	1	4	yes	—
929	#95	C₂⁴	1	2	yes	—
930	#95	C₂⁴	1	4	yes	—
931	#95	C₂⁴	1	2	yes	—
932	#95	C₂⁴	1	4	yes	—
933	#95	C₂⁴	1	2	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	#95	C₂⁴	1	4	yes	—
950	#95	C₂⁴	1	4	yes	—
951	#95	C₂⁴	1	4	yes	—
952	C₂⁴	—	2	4	no	—
953	C₂⁴	—	2	4	no	—
954	C₂⁴	—	2	4	no	—
955	C₂⁴	—	2	4	no	—
956	C₂⁴	—	2	8	no	—
957	C₂⁴	—	2	4	no	—
958	C₂⁴	—	2	8	no	—
959	C₂⁴	—	2	8	no	—
960	C₂⁴	—	2	8	no	—
961	C₂⁴	—	2	8	no	—
962	C₂⁴	—	2	2	no	—
963	C₂⁴	—	2	4	no	—
964	C₂⁴	—	2	4	no	—
965	C₂⁴	—	2	4	no	—
966	C₂⁴	—	2	8	no	—
967	C₂⁴	—	2	8	no	—
968	C₂⁴	—	2	4	no	—
969	C₂⁴	—	4	2	no	—
970	C₂⁴	—	4	4	no	—
971	C₂⁴	—	4	4	no	—
972	C₂⁴	—	4	4	no	—
973	C₂⁴	—	4	4	no	—
974	C₂⁴	—	4	4	no	—
975	C₂⁴	—	4	4	no	—
976	C₂⁴	—	4	4	no	—
977	C₂⁴	—	4	4	no	—
978	C₂⁴	—	4	4	no	—
979	C₂⁴	—	4	4	no	—
980	C₂⁴	—	4	4	no	—
981	C₂⁴	—	4	4	no	—
982	C₂⁴	—	4	4	no	—
983	C₂⁴	—	4	2	no	—
984	C₂⁴	—	4	2	no	—
985	C₂⁴	—	4	2	no	—
986	C₂⁴	—	4	2	no	—
987	C₂⁴	—	4	32	no	—
988	C₂⁴	—	8	16	no	—
989	C₂⁴	—	8	32	no	—
990	C₂⁴	—	8	16	no	—
991	C₂⁴	—	8	32	no	—
992	C₂⁴	C₂×#41	1	4	yes	—
993	C₂⁴	H(5,𝔽₂)	1	8	yes	—
994	C₂⁴	C₂⁵	1	4	yes	—
995	C₂⁴	C₂⁵	1	2	yes	—
996	C₂⁴	C₂⁵	1	4	yes	—
997	C₂⁴	C₂⁵	1	1	yes	characteristic
998	C₂⁴	C₂⁵	1	4	yes	—
999	C₂⁴	C₂⁵	1	1	yes	characteristic
1000	C₂⁴	C₂⁵	1	1	yes	characteristic
1001	#41	—	8	32	no	—
1002	C₂×Q₈	—	2	8	no	—
1003	C₂×Q₈	—	4	4	no	—
1004	C₂×Q₈	—	4	4	no	—
1005	C₂×D₄	—	2	32	no	—
1006	C₂×D₄	—	2	8	no	—
1007	C₂×D₄	—	2	8	no	—
1008	C₂×D₄	—	2	8	no	—
1009	C₂×D₄	—	2	4	no	—
1010	C₂×D₄	—	2	8	no	—
1011	C₂×D₄	—	2	8	no	—
1012	C₂×D₄	—	2	8	no	—
1013	C₂×D₄	—	2	8	no	—
1014	C₂×D₄	—	2	8	no	—
1015	C₂×D₄	—	2	8	no	—
1016	C₂×D₄	—	2	8	no	—
1017	C₂×D₄	—	2	8	no	—
1018	C₂×D₄	—	2	8	no	—
1019	C₂×D₄	—	2	4	no	—
1020	C₂×D₄	—	2	8	no	—
1021	C₂×D₄	—	2	8	no	—
1022	C₂×D₄	—	2	8	no	—
1023	C₂×D₄	—	2	4	no	—
1024	C₂×D₄	—	2	4	no	—
1025	C₂×D₄	—	2	4	no	—
1026	C₂×D₄	—	2	4	no	—
1027	C₂×D₄	—	2	8	no	—
1028	C₂×D₄	—	2	8	no	—
1029	C₂×D₄	—	2	4	no	—
1030	C₂×D₄	—	2	4	no	—
1031	C₂×D₄	—	2	8	no	—
1032	C₂×D₄	—	2	8	no	—
1033	C₂×D₄	—	2	8	no	—
1034	C₂×D₄	—	2	8	no	—
1035	C₂×D₄	—	4	4	no	—
1036	C₂×D₄	—	4	4	no	—
1037	C₂×D₄	—	4	4	no	—
1038	C₂×D₄	—	4	4	no	—
1039	C₂×D₄	—	4	4	no	—
1040	C₂×D₄	—	4	4	no	—
1041	C₂×D₄	—	4	4	no	—
1042	C₂×D₄	—	4	4	no	—
1043	C₂×D₄	—	4	32	no	—
1044	C₂×D₄	—	4	16	no	—
1045	C₂×D₄	—	4	4	no	—
1046	C₂×D₄	—	4	4	no	—
1047	C₂×D₄	—	4	4	no	—
1048	C₂×D₄	—	4	4	no	—
1049	C₂×D₄	—	4	4	no	—
1050	C₂×D₄	—	4	4	no	—
1051	C₂×D₄	—	4	4	no	—
1052	C₂×D₄	—	4	4	no	—
1053	C₂×D₄	—	4	4	no	—
1054	C₂×D₄	—	4	4	no	—
1055	C₂×D₄	—	4	4	no	—
1056	C₂×D₄	—	4	4	no	—
1057	C₂×D₄	—	4	4	no	—
1058	C₂×D₄	—	4	4	no	—
1059	C₂×D₄	—	4	4	no	—
1060	C₂×D₄	—	4	4	no	—
1061	C₂×D₄	—	4	4	no	—
1062	C₂×D₄	—	4	4	no	—
1063	C₂×D₄	—	4	4	no	—
1064	C₂×D₄	—	4	4	no	—
1065	C₂×D₄	—	4	4	no	—
1066	C₂×D₄	—	4	4	no	—
1067	C₂×D₄	—	4	4	no	—
1068	C₂×D₄	—	4	4	no	—
1069	C₂×D₄	—	4	4	no	—
1070	C₂×D₄	—	4	4	no	—
1071	C₂×D₄	—	4	2	no	—
1072	C₂×D₄	—	4	4	no	—
1073	C₂×D₄	—	4	2	no	—
1074	C₂×D₄	—	4	4	no	—
1075	C₂×D₄	—	4	4	no	—
1076	C₂×D₄	—	4	4	no	—
1077	C₂×D₄	—	4	4	no	—
1078	C₂×D₄	—	4	4	no	—
1079	C₂×D₄	—	4	32	no	—
1080	C₂×D₄	—	4	32	no	—
1081	C₂×D₄	—	4	32	no	—
1082	C₂×D₄	—	4	32	no	—
1083	C₂×D₄	—	8	8	no	—
1084	C₂×D₄	—	8	32	no	—
1085	C₂×D₄	—	8	32	no	—
1086	C₂×D₄	—	8	8	no	—
1087	C₂×D₄	—	8	16	no	—
1088	C₂×D₄	—	8	32	no	—
1089	C₂²×C₄	—	2	4	no	—
1090	C₂²×C₄	—	2	4	no	—
1091	C₂²×C₄	—	2	2	no	—
1092	C₂²×C₄	—	2	8	no	—
1093	C₂²×C₄	—	2	4	no	—
1094	C₂²×C₄	—	2	2	no	—
1095	C₂²×C₄	—	2	4	no	—
1096	C₂²×C₄	—	2	2	no	—
1097	C₂²×C₄	—	2	8	no	—
1098	C₂²×C₄	—	2	8	no	—
1099	C₂²×C₄	—	2	8	no	—
1100	C₂²×C₄	—	2	8	no	—
1101	C₂²×C₄	—	2	8	no	—
1102	C₂²×C₄	—	4	16	no	—
1103	C₂²×C₄	—	4	2	no	—
1104	C₂²×C₄	—	4	2	no	—
1105	C₂²×C₄	—	4	2	no	—
1106	C₂²×C₄	—	4	2	no	—
1107	C₂²×C₄	—	4	4	no	—
1108	C₂²×C₄	—	4	2	no	—
1109	C₂²×C₄	—	4	4	no	—
1110	C₂²×C₄	—	4	4	no	—
1111	C₂²×C₄	—	4	4	no	—
1112	C₂²×C₄	—	4	4	no	—
1113	C₂²×C₄	—	4	4	no	—
1114	C₂²×C₄	—	4	2	no	—
1115	C₂²×C₄	—	4	4	no	—
1116	C₂²×C₄	—	4	4	no	—
1117	C₂²×C₄	—	4	4	no	—
1118	C₂²×C₄	—	4	4	no	—
1119	C₂²×C₄	—	4	4	no	—
1120	C₂²×C₄	—	4	4	no	—
1121	C₂²×C₄	—	4	4	no	—
1122	C₂²×C₄	—	4	4	no	—
1123	C₂²×C₄	—	4	4	no	—
1124	C₂²×C₄	—	4	4	no	—
1125	C₂²×C₄	—	4	4	no	—
1126	C₂²×C₄	—	4	4	no	—
1127	C₂²×C₄	—	4	4	no	—
1128	C₂²×C₄	—	4	4	no	—
1129	C₂²×C₄	—	4	4	no	—
1130	C₂²×C₄	—	4	4	no	—
1131	C₂²×C₄	C₂×#41	1	4	yes	—
1132	C₂²×C₄	C₂×#41	1	4	yes	—
1133	C₂²×C₄	C₂×#41	1	4	yes	—
1134	C₂²×C₄	C₂×#41	1	4	yes	—
1135	C₂²×C₄	C₂×#41	1	4	yes	—
1136	C₂²×C₄	C₂×#41	1	4	yes	—
1137	C₂²×C₄	C₂⁵	1	4	yes	—
1138	C₂²×C₄	C₂⁵	1	4	yes	—
1139	C₂²×C₄	C₂⁵	1	4	yes	—
1140	C₂²×C₄	C₂⁵	1	2	yes	—
1141	C₂²×C₄	C₂⁵	1	4	yes	—
1142	C₂²×C₄	C₂⁵	1	2	yes	—
1143	C₂²×C₄	C₂⁵	1	4	yes	—
1144	C₂²×C₄	C₂⁵	1	4	yes	—
1145	C₂²×C₄	C₂⁵	1	4	yes	—
1146	C₂²×C₄	C₂⁵	1	4	yes	—
1147	C₂²×C₄	C₂⁵	1	2	yes	—
1148	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1151	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁵	1	4	yes	—
1153	C₄⋊C₄	—	2	4	no	—
1154	C₄⋊C₄	—	2	4	no	—
1155	C₄⋊C₄	—	2	4	no	—
1156	C₄⋊C₄	—	2	4	no	—
1157	C₄⋊C₄	—	2	4	no	—
1158	C₄⋊C₄	—	2	4	no	—
1159	C₄⋊C₄	—	2	8	no	—
1160	C₄⋊C₄	—	2	8	no	—
1161	C₄⋊C₄	—	2	8	no	—
1162	C₄⋊C₄	—	2	8	no	—
1163	C₄⋊C₄	—	4	4	no	—
1164	C₄⋊C₄	—	4	4	no	—
1165	C₄⋊C₄	—	4	4	no	—
1166	C₄⋊C₄	—	4	4	no	—
1167	C₄⋊C₄	—	4	4	no	—
1168	C₄⋊C₄	—	4	4	no	—
1169	C₄⋊C₄	—	4	4	no	—
1170	C₄⋊C₄	—	4	4	no	—
1171	C₄⋊C₄	—	4	4	no	—
1172	C₄⋊C₄	—	4	4	no	—
1173	C₄⋊C₄	—	4	4	no	—
1174	C₄⋊C₄	—	4	4	no	—
1175	C₄⋊C₄	—	4	4	no	—
1176	C₄⋊C₄	—	4	4	no	—
1177	C₂²⋊C₄	—	2	4	no	—
1178	C₂²⋊C₄	—	2	4	no	—
1179	C₂²⋊C₄	—	2	8	no	—
1180	C₂²⋊C₄	—	2	4	no	—
1181	C₂²⋊C₄	—	2	8	no	—
1182	C₂²⋊C₄	—	2	8	no	—
1183	C₂²⋊C₄	—	2	8	no	—
1184	C₂²⋊C₄	—	2	4	no	—
1185	C₂²⋊C₄	—	2	4	no	—
1186	C₂²⋊C₄	—	2	8	no	—
1187	C₂²⋊C₄	—	2	8	no	—
1188	C₂²⋊C₄	—	2	8	no	—
1189	C₂²⋊C₄	—	2	8	no	—
1190	C₂²⋊C₄	—	2	8	no	—
1191	C₂²⋊C₄	—	2	8	no	—
1192	C₂²⋊C₄	—	2	4	no	—
1193	C₂²⋊C₄	—	2	4	no	—
1194	C₂²⋊C₄	—	2	4	no	—
1195	C₂²⋊C₄	—	2	4	no	—
1196	C₂²⋊C₄	—	2	8	no	—
1197	C₂²⋊C₄	—	2	8	no	—
1198	C₂²⋊C₄	—	2	8	no	—
1199	C₂²⋊C₄	—	2	8	no	—
1200	C₂²⋊C₄	—	2	8	no	—
1201	C₂²⋊C₄	—	2	8	no	—
1202	C₂²⋊C₄	—	4	4	no	—
1203	C₂²⋊C₄	—	4	4	no	—
1204	C₂²⋊C₄	—	4	4	no	—
1205	C₂²⋊C₄	—	4	4	no	—
1206	C₂²⋊C₄	—	4	4	no	—
1207	C₂²⋊C₄	—	4	4	no	—
1208	C₂²⋊C₄	—	4	4	no	—
1209	C₂²⋊C₄	—	4	4	no	—
1210	C₂²⋊C₄	—	4	4	no	—
1211	C₂²⋊C₄	—	4	2	no	—
1212	C₂²⋊C₄	—	4	2	no	—
1213	C₂²⋊C₄	—	4	4	no	—
1214	C₂²⋊C₄	—	4	4	no	—
1215	C₂²⋊C₄	—	4	4	no	—
1216	C₂²⋊C₄	—	4	4	no	—
1217	C₂²⋊C₄	—	4	4	no	—
1218	C₂²⋊C₄	—	4	4	no	—
1219	C₂²⋊C₄	—	4	4	no	—
1220	C₂²⋊C₄	—	4	4	no	—
1221	C₂²⋊C₄	—	4	4	no	—
1222	C₂²⋊C₄	—	4	4	no	—
1223	C₂²⋊C₄	—	4	2	no	—
1224	C₂²⋊C₄	—	4	2	no	—
1225	C₂²⋊C₄	—	4	4	no	—
1226	C₂²⋊C₄	—	4	4	no	—
1227	C₂²⋊C₄	—	4	4	no	—
1228	C₂²⋊C₄	—	4	4	no	—
1229	C₂²⋊C₄	—	4	4	no	—
1230	C₂²⋊C₄	—	4	4	no	—
1231	C₂²⋊C₄	—	4	4	no	—
1232	C₂²⋊C₄	—	4	4	no	—
1233	C₂²⋊C₄	—	4	4	no	—
1234	C₂²⋊C₄	—	4	4	no	—
1235	C₂²⋊C₄	—	4	4	no	—
1236	C₂²⋊C₄	—	4	4	no	—
1237	C₂²⋊C₄	—	4	4	no	—
1238	C₂²⋊C₄	—	4	4	no	—
1239	C₂²⋊C₄	—	4	4	no	—
1240	C₂²⋊C₄	—	4	4	no	—
1241	C₂²⋊C₄	—	4	4	no	—
1242	C₂²⋊C₄	—	4	4	no	—
1243	C₂²⋊C₄	—	4	4	no	—
1244	C₂²⋊C₄	—	4	4	no	—
1245	C₂²⋊C₄	—	4	4	no	—
1246	C₂²⋊C₄	—	4	4	no	—
1247	C₂²⋊C₄	H(5,𝔽₂)	1	8	yes	—
1248	C₄²	—	2	8	no	—
1249	C₄²	—	4	2	no	—
1250	C₄²	—	4	4	no	—
1251	C₄²	—	4	2	no	—
1252	C₄²	—	4	2	no	—
1253	C₄²	—	4	2	no	—
1254	C₄²	—	4	2	no	—
1255	C₄²	—	4	2	no	—
1256	C₄²	—	4	4	no	—
1257	C₄²	—	4	4	no	—
1258	C₄²	—	4	4	no	—
1259	C₄²	—	4	4	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	4	no	—
1265	C₂³	—	2	2	no	—
1266	C₂³	—	2	4	no	—
1267	C₂³	—	2	4	no	—
1268	C₂³	—	2	4	no	—
1269	C₂³	—	2	2	no	—
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	4	no	—
1272	C₂³	—	2	4	no	—
1273	C₂³	—	2	8	no	—
1274	C₂³	—	2	8	no	—
1275	C₂³	—	2	16	no	—
1276	C₂³	—	2	2	no	—
1277	C₂³	—	2	4	no	—
1278	C₂³	—	2	4	no	—
1279	C₂³	—	2	2	no	—
1280	C₂³	—	2	4	no	—
1281	C₂³	—	2	4	no	—
1282	C₂³	—	2	4	no	—
1283	C₂³	—	2	4	no	—
1284	C₂³	—	2	2	no	—
1285	C₂³	—	2	4	no	—
1286	C₂³	—	2	4	no	—
1287	C₂³	—	2	4	no	—
1288	C₂³	—	2	4	no	—
1289	C₂³	—	2	4	no	—
1290	C₂³	—	2	4	no	—
1291	C₂³	—	2	4	no	—
1292	C₂³	—	2	4	no	—
1293	C₂³	—	2	4	no	—
1294	C₂³	—	2	4	no	—
1295	C₂³	—	4	4	no	—
1296	C₂³	—	4	16	no	—
1297	C₂³	—	4	16	no	—
1298	C₂³	—	4	16	no	—
1299	C₂³	—	4	16	no	—
1300	C₂³	—	4	16	no	—
1301	C₂³	—	4	16	no	—
1302	C₂³	—	4	16	no	—
1303	C₂³	—	4	16	no	—
1304	C₂³	—	4	8	no	—
1305	C₂³	—	4	16	no	—
1306	C₂³	—	4	8	no	—
1307	C₂³	—	4	4	no	—
1308	C₂³	—	8	4	no	—
1309	C₂³	—	8	4	no	—
1310	C₂³	—	8	8	no	—
1311	C₂³	—	8	4	no	—
1312	C₂³	—	8	4	no	—
1313	C₂³	—	8	8	no	—
1314	C₂³	—	8	8	no	—
1315	C₂³	—	8	8	no	—
1316	C₂³	—	8	8	no	—
1317	C₂³	—	8	8	no	—
1318	C₂³	—	8	8	no	—
1319	C₂³	—	8	8	no	—
1320	C₂³	—	8	2	no	—
1321	C₂³	—	8	4	no	—
1322	C₂³	—	8	8	no	—
1323	C₂³	—	8	8	no	—
1324	C₂³	—	8	8	no	—
1325	C₂³	—	8	2	no	—
1326	C₂³	—	8	4	no	—
1327	C₂³	—	8	8	no	—
1328	C₂³	—	8	8	no	—
1329	C₂³	—	8	128	no	—
1330	C₂³	C₂²×#41	1	2	yes	—
1331	C₂³	C₂²×#41	1	2	yes	—
1332	C₂³	C₂²×#41	1	2	yes	—
1333	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1334	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1335	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1336	C₂³	C₂⁶	1	1	yes	characteristic
1337	Q₈	—	8	8	no	—
1338	D₄	—	2	16	no	—
1339	D₄	—	2	16	no	—
1340	D₄	—	4	16	no	—
1341	D₄	—	4	16	no	—
1342	D₄	—	4	16	no	—
1343	D₄	—	4	16	no	—
1344	D₄	—	4	8	no	—
1345	D₄	—	4	8	no	—
1346	D₄	—	4	16	no	—
1347	D₄	—	4	8	no	—
1348	D₄	—	4	16	no	—
1349	D₄	—	8	4	no	—
1350	D₄	—	8	4	no	—
1351	D₄	—	8	8	no	—
1352	D₄	—	8	8	no	—
1353	D₄	—	8	4	no	—
1354	D₄	—	8	8	no	—
1355	D₄	—	8	8	no	—
1356	D₄	—	8	8	no	—
1357	D₄	—	8	8	no	—
1358	D₄	—	8	8	no	—
1359	D₄	—	8	8	no	—
1360	D₄	—	8	8	no	—
1361	D₄	—	8	8	no	—
1362	D₄	—	8	8	no	—
1363	D₄	—	16	4	no	—
1364	C₂×C₄	—	2	4	no	—
1365	C₂×C₄	—	2	2	no	—
1366	C₂×C₄	—	2	2	no	—
1367	C₂×C₄	—	2	2	no	—
1368	C₂×C₄	—	2	2	no	—
1369	C₂×C₄	—	2	4	no	—
1370	C₂×C₄	—	2	8	no	—
1371	C₂×C₄	—	2	8	no	—
1372	C₂×C₄	—	2	2	no	—
1373	C₂×C₄	—	2	2	no	—
1374	C₂×C₄	—	2	4	no	—
1375	C₂×C₄	—	2	2	no	—
1376	C₂×C₄	—	2	2	no	—
1377	C₂×C₄	—	2	4	no	—
1378	C₂×C₄	—	2	4	no	—
1379	C₂×C₄	—	2	4	no	—
1380	C₂×C₄	—	2	4	no	—
1381	C₂×C₄	—	2	4	no	—
1382	C₂×C₄	—	2	4	no	—
1383	C₂×C₄	—	2	4	no	—
1384	C₂×C₄	—	2	4	no	—
1385	C₂×C₄	—	2	4	no	—
1386	C₂×C₄	—	2	4	no	—
1387	C₂×C₄	—	2	4	no	—
1388	C₂×C₄	—	2	4	no	—
1389	C₂×C₄	—	2	4	no	—
1390	C₂×C₄	—	2	4	no	—
1391	C₂×C₄	—	2	4	no	—
1392	C₂×C₄	—	2	4	no	—
1393	C₂×C₄	—	2	4	no	—
1394	C₂×C₄	—	2	2	no	—
1395	C₂×C₄	—	2	4	no	—
1396	C₂×C₄	—	2	4	no	—
1397	C₂×C₄	—	2	4	no	—
1398	C₂×C₄	—	2	4	no	—
1399	C₂×C₄	—	2	4	no	—
1400	C₂×C₄	—	2	4	no	—
1401	C₂×C₄	—	2	4	no	—
1402	C₂×C₄	—	2	4	no	—
1403	C₂×C₄	—	4	4	no	—
1404	C₂×C₄	—	4	4	no	—
1405	C₂×C₄	—	4	4	no	—
1406	C₂×C₄	—	4	4	no	—
1407	C₂×C₄	—	4	16	no	—
1408	C₂×C₄	—	4	4	no	—
1409	C₂×C₄	—	8	8	no	—
1410	C₂×C₄	—	8	2	no	—
1411	C₂×C₄	—	8	8	no	—
1412	C₂×C₄	—	8	2	no	—
1413	C₂×C₄	—	8	4	no	—
1414	C₂×C₄	—	8	8	no	—
1415	C₂×C₄	—	8	8	no	—
1416	C₂×C₄	—	8	8	no	—
1417	C₂×C₄	—	16	4	no	—
1418	C₂×C₄	—	16	4	no	—
1419	C₂×C₄	—	16	4	no	—
1420	C₂×C₄	C₂²×#41	1	2	yes	—
1421	C₂×C₄	C₂²×#41	1	2	yes	—
1422	C₂×C₄	C₂²×#41	1	2	yes	—
1423	C₂×C₄	C₂²×#41	1	2	yes	—
1424	C₂×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	2	2	no	—
1429	C₂²	—	2	8	no	—
1430	C₂²	—	2	8	no	—
1431	C₂²	—	2	2	no	—
1432	C₂²	—	2	8	no	—
1433	C₂²	—	2	2	no	—
1434	C₂²	—	2	2	no	—
1435	C₂²	—	2	8	no	—
1436	C₂²	—	2	8	no	—
1437	C₂²	—	4	16	no	—
1438	C₂²	—	4	4	no	—
1439	C₂²	—	4	4	no	—
1440	C₂²	—	4	4	no	—
1441	C₂²	—	4	4	no	—
1442	C₂²	—	4	4	no	—
1443	C₂²	—	4	4	no	—
1444	C₂²	—	4	2	no	—
1445	C₂²	—	4	4	no	—
1446	C₂²	—	4	4	no	—
1447	C₂²	—	4	2	no	—
1448	C₂²	—	4	4	no	—
1449	C₂²	—	4	4	no	—
1450	C₂²	—	4	2	no	—
1451	C₂²	—	4	4	no	—
1452	C₂²	—	4	4	no	—
1453	C₂²	—	4	4	no	—
1454	C₂²	—	4	4	no	—
1455	C₂²	—	4	4	no	—
1456	C₂²	—	4	4	no	—
1457	C₂²	—	4	4	no	—
1458	C₂²	—	4	4	no	—
1459	C₂²	—	4	4	no	—
1460	C₂²	—	4	4	no	—
1461	C₂²	—	4	4	no	—
1462	C₂²	—	8	16	no	—
1463	C₂²	—	8	32	no	—
1464	C₂²	—	8	16	no	—
1465	C₂²	—	8	32	no	—
1466	C₂²	—	16	8	no	—
1467	C₂²	—	16	4	no	—
1468	C₂²	#3490	1	4	yes	—
1469	C₂²	#3508	1	4	yes	—
1470	C₂²	C₂³×#41	1	1	yes	characteristic
1471	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1472	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1473	C₂²	H(7,𝔽₂)	1	2	yes	—
1474	C₄	—	2	2	no	—
1475	C₄	—	2	2	no	—
1476	C₄	—	2	2	no	—
1477	C₄	—	2	2	no	—
1478	C₄	—	2	8	no	—
1479	C₄	—	4	2	no	—
1480	C₄	—	4	2	no	—
1481	C₄	—	4	4	no	—
1482	C₄	—	4	2	no	—
1483	C₄	—	4	4	no	—
1484	C₄	—	4	4	no	—
1485	C₄	—	4	4	no	—
1486	C₄	—	4	4	no	—
1487	C₄	—	4	4	no	—
1488	C₄	—	4	4	no	—
1489	C₄	—	4	4	no	—
1490	C₂	—	2	4	no	—
1491	C₂	—	2	4	no	—
1492	C₂	—	4	2	no	—
1493	C₂	—	4	8	no	—
1494	C₂	—	8	4	no	—
1495	C₂	—	8	2	no	—
1496	C₂	—	8	4	no	—
1497	C₂	C₂×#3490	1	1	yes	characteristic
1498	C₂	C₂×#3508	1	1	yes	characteristic
1499	C₂	#62855	1	1	yes	characteristic
1500	C₂	#62892	1	4	yes	—

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

Complements

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

N	H ≅ G/N	type
1. #59006	C₂	semidirect
2. #58991	C₂	semidirect
3. #48007	C₂	semidirect
4. #48005	C₂	semidirect
5. #43178	C₂	semidirect
6. #43099	C₂	semidirect
7. #41962	C₂	semidirect
8. #41058	C₂	semidirect
9. #41038	C₂	semidirect
10. #40546	C₂	semidirect
11. #40540	C₂	semidirect
12. #39558	C₂	semidirect
13. #39464	C₂	semidirect
14. #37440	C₂	semidirect
15. #35732	C₂	semidirect
16. #35694	C₂	semidirect
17. #35681	C₂	semidirect
18. #35065	C₂	semidirect
19. C₂×#2433	C₂	semidirect
20. C₂×#2613	C₂	semidirect
21. #34358	C₂	semidirect
22. #34238	C₂	semidirect
23. #34171	C₂	semidirect
25. C₂×#551	C₂²	semidirect
26. C₂×#546	C₂²	semidirect
27. C₂×#546	C₂²	semidirect
28. C₂²×#127	C₂²	semidirect
33. C₂×#518	C₂²	semidirect
34. #2855	C₂²	semidirect
35. #2829	C₂²	semidirect
36. #2828	C₂²	semidirect
37. #2813	C₂²	semidirect
38. #2803	C₂²	semidirect
39. #2803	C₂²	semidirect
40. #2797	C₂²	semidirect
41. #2797	C₂²	semidirect
42. #2796	C₂²	semidirect
43. #2786	C₂²	semidirect
44. #2752	C₂²	semidirect
45. #2751	C₂²	semidirect
46. #2740	C₂²	semidirect
47. #2733	C₂²	semidirect
48. #2730	C₂²	semidirect
49. #2714	C₂²	semidirect
50. #2714	C₂²	semidirect
51. #2710	C₂²	semidirect
52. #2709	C₂²	semidirect
53. #2709	C₂²	semidirect
54. #2709	C₂²	semidirect
55. #2709	C₂²	semidirect
56. #2705	C₂²	semidirect
57. #2697	C₂²	semidirect
58. #2685	C₂²	semidirect
59. #2685	C₂²	semidirect
60. #2684	C₂²	semidirect
61. #2682	C₂²	semidirect
62. #2678	C₂²	semidirect
63. #2678	C₂²	semidirect
64. #2673	C₂²	semidirect
65. #2673	C₂²	semidirect
66. #2673	C₂²	semidirect
67. #2673	C₂²	semidirect
68. #2670	C₂²	semidirect
69. #2668	C₂²	semidirect
70. #2667	C₂²	semidirect
71. #2665	C₂²	semidirect
72. #2662	C₂²	semidirect
73. #2661	C₂²	semidirect
74. #2661	C₂²	semidirect
75. #2661	C₂²	semidirect
76. #2661	C₂²	semidirect
77. #2648	C₂²	semidirect
78. #2635	C₂²	semidirect
79. #2630	C₂²	semidirect
80. #2623	C₂²	semidirect
81. #2618	C₂²	semidirect
82. #2617	C₂²	semidirect
86. #2613	C₂²	semidirect
87. #2613	C₂²	semidirect
88. #2613	C₂²	semidirect
89. #2613	C₂²	semidirect
90. #2608	C₂²	semidirect
91. #2607	C₂²	semidirect
92. #2602	C₂²	semidirect
93. #2602	C₂²	semidirect
94. #2601	C₂²	semidirect
95. #2600	C₂²	semidirect
96. #2595	C₂²	semidirect
97. #2591	C₂²	semidirect
98. #2569	C₂²	semidirect
99. #2560	C₂²	semidirect
100. #2557	C₂²	semidirect
101. #2555	C₂²	semidirect
102. #2554	C₂²	semidirect
103. #2549	C₂²	semidirect
104. #2544	C₂²	semidirect
105. #2544	C₂²	semidirect
106. #2539	C₂²	semidirect
107. #2539	C₂²	semidirect
108. #2534	C₂²	semidirect
109. #2534	C₂²	semidirect
110. #2516	C₂²	semidirect
111. #2480	C₂²	semidirect
112. #2480	C₂²	semidirect
113. #2472	C₂²	semidirect
114. #2472	C₂²	semidirect
115. #2472	C₂²	semidirect
116. #2472	C₂²	semidirect
117. #2471	C₂²	semidirect
118. #2467	C₂²	semidirect
119. #2464	C₂²	semidirect
120. #2464	C₂²	semidirect
121. #2461	C₂²	semidirect
122. #2459	C₂²	semidirect
123. #2457	C₂²	semidirect
124. #2456	C₂²	semidirect
125. #2456	C₂²	semidirect
126. #2455	C₂²	semidirect
127. #2445	C₂²	semidirect
128. #2445	C₂²	semidirect
129. #2438	C₂²	semidirect
131. #2437	C₂²	semidirect
132. #2435	C₂²	semidirect
136. #2433	C₂²	semidirect
137. #2433	C₂²	semidirect
138. #2431	C₂²	semidirect
139. #2431	C₂²	semidirect
140. #2428	C₂²	semidirect
141. #2428	C₂²	semidirect
142. #2424	C₂²	semidirect
143. #2424	C₂²	semidirect
144. #2418	C₂²	semidirect
145. #2418	C₂²	semidirect
146. #2418	C₂²	semidirect
147. #2418	C₂²	semidirect
148. #2414	C₂²	semidirect
149. #2412	C₂²	semidirect
150. #2412	C₂²	semidirect
151. #2412	C₂²	semidirect
152. #2412	C₂²	semidirect
153. #2411	C₂²	semidirect
154. #2411	C₂²	semidirect
155. #2411	C₂²	semidirect
156. #2410	C₂²	semidirect
157. #2410	C₂²	semidirect
158. #2410	C₂²	semidirect
159. #2410	C₂²	semidirect
160. #2408	C₂²	semidirect
161. #2408	C₂²	semidirect
162. #2407	C₂²	semidirect
164. #2405	C₂²	semidirect
165. #2405	C₂²	semidirect
166. #2404	C₂²	semidirect
168. #2392	C₂²	semidirect
169. #2388	C₂²	semidirect
170. C₂×#394	C₂²	semidirect
171. C₂×#394	C₂²	semidirect
172. C₂×#392	C₂²	semidirect
173. C₂×#392	C₂²	semidirect
174. C₂×#392	C₂²	semidirect
175. C₂×#392	C₂²	semidirect
176. #2377	C₂²	semidirect
177. #2374	C₂²	semidirect
178. #2364	C₂²	semidirect
179. #2364	C₂²	semidirect
180. #2359	C₂²	semidirect
181. #2358	C₂²	semidirect
182. #2358	C₂²	semidirect
183. #2358	C₂²	semidirect
184. #2345	C₂²	semidirect
186. #2342	C₂²	semidirect
187. #2342	C₂²	semidirect
188. #2342	C₂²	semidirect
191. D₄×C₂²⋊C₄	C₂²	semidirect
192. D₄×C₂²⋊C₄	C₂²	semidirect
193. D₄×C₂²⋊C₄	C₂²	semidirect
194. D₄×C₂²⋊C₄	C₂²	semidirect
195. D₄×C₂²⋊C₄	C₂²	semidirect
196. D₄×C₂²⋊C₄	C₂²	semidirect
197. D₄×C₂²⋊C₄	C₂²	semidirect
198. #2335	C₂²	semidirect
199. #2333	C₂²	semidirect
200. #2333	C₂²	semidirect
201. #2329	C₂²	semidirect
202. #2325	C₂²	semidirect
203. #2313	C₂²	semidirect
204. #2313	C₂²	semidirect
205. #2312	C₂²	semidirect
206. #2309	C₂²	semidirect
207. #2308	C₂²	semidirect
208. #2308	C₂²	semidirect
209. C₄×#123	C₂²	semidirect
210. C₂×#390	C₂²	semidirect
216. #2274	C₂²	semidirect
217. #2273	C₂²	semidirect
220. C₂²×#41	C₂³	semidirect
245. C₂×#126	C₂³	semidirect
246. C₂×#126	C₂³	semidirect
247. C₂×#124	C₂³	semidirect
248. C₂×#124	C₂³	semidirect
249. C₂×#124	C₂³	semidirect
250. C₂×#124	C₂³	semidirect
257. C₂×#123	C₂³	semidirect
258. C₂×#123	C₂³	semidirect
259. C₂×#123	C₂³	semidirect
260. C₂×#123	C₂³	semidirect
261. C₂×#123	C₂³	semidirect
262. C₂×#123	C₂³	semidirect
263. C₂×#123	C₂³	semidirect
264. C₂×#123	C₂³	semidirect
267. C₂×C₂²⋊Q₈	C₂³	semidirect
273. C₂×#121	C₂³	semidirect
274. C₂×#121	C₂³	semidirect
275. C₂×#121	C₂³	semidirect
276. C₂×#121	C₂³	semidirect
277. C₂×#121	C₂³	semidirect
278. C₂×#121	C₂³	semidirect
279. C₂×#121	C₂³	semidirect
280. C₂×#121	C₂³	semidirect
281. C₂×#121	C₂³	semidirect
306. C₂×C₄×D₄	C₂³	semidirect
307. C₂×C₄×D₄	C₂³	semidirect
308. C₂×C₄×D₄	C₂³	semidirect
309. C₂×C₄×D₄	C₂³	semidirect
313. C₂×#117	C₂³	semidirect
337. #400	C₂³	semidirect
338. #400	C₂³	semidirect
340. #399	C₂³	semidirect
341. #399	C₂³	semidirect
342. #399	C₂³	semidirect
343. #398	C₂³	semidirect
344. #398	C₂³	semidirect
345. #398	C₂³	semidirect
346. #398	C₂³	semidirect
347. #397	C₂³	semidirect
348. #397	C₂³	semidirect
349. #397	C₂³	semidirect
350. #397	C₂³	semidirect
351. #397	C₂³	semidirect
352. #397	C₂³	semidirect
353. #397	C₂³	semidirect
354. #397	C₂³	semidirect
355. #397	C₂³	semidirect
356. #397	C₂³	semidirect
357. #397	C₂³	semidirect
358. #397	C₂³	semidirect
361. #396	C₂³	semidirect
362. #396	C₂³	semidirect
363. #396	C₂³	semidirect
364. #396	C₂³	semidirect
365. #396	C₂³	semidirect
366. #396	C₂³	semidirect
367. #395	C₂³	semidirect
380. #394	C₂³	semidirect
381. #394	C₂³	semidirect
382. #394	C₂³	semidirect
383. #394	C₂³	semidirect
384. #394	C₂³	semidirect
385. #394	C₂³	semidirect
386. #394	C₂³	semidirect
387. #394	C₂³	semidirect
388. #394	C₂³	semidirect
389. #394	C₂³	semidirect
390. #394	C₂³	semidirect
391. #394	C₂³	semidirect
392. #394	C₂³	semidirect
393. #394	C₂³	semidirect
394. #394	C₂³	semidirect
395. #394	C₂³	semidirect
396. #394	C₂³	semidirect
397. #394	C₂³	semidirect
398. #394	C₂³	semidirect
399. #394	C₂³	semidirect
400. #394	C₂³	semidirect
401. #394	C₂³	semidirect
402. #394	C₂³	semidirect
403. #394	C₂³	semidirect
404. #394	C₂³	semidirect
405. #394	C₂³	semidirect
406. #394	C₂³	semidirect
407. #394	C₂³	semidirect
408. #394	C₂³	semidirect
410. #393	C₂³	semidirect
411. #393	C₂³	semidirect
432. #392	C₂³	semidirect
433. #392	C₂³	semidirect
434. #392	C₂³	semidirect
435. #392	C₂³	semidirect
436. #392	C₂³	semidirect
437. #392	C₂³	semidirect
438. #392	C₂³	semidirect
439. #392	C₂³	semidirect
440. #392	C₂³	semidirect
441. #391	C₂³	semidirect
442. #391	C₂³	semidirect
443. #391	C₂³	semidirect
455. #390	C₂³	semidirect
456. #390	C₂³	semidirect
457. #390	C₂³	semidirect
458. #390	C₂³	semidirect
459. #390	C₂³	semidirect
460. #390	C₂³	semidirect
461. #390	C₂³	semidirect
462. #390	C₂³	semidirect
463. #390	C₂³	semidirect
464. #390	C₂³	semidirect
465. #389	C₂³	semidirect
466. #389	C₂³	semidirect
467. #389	C₂³	semidirect
468. #389	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. #388	C₂³	semidirect
479. #388	C₂³	semidirect
480. #388	C₂³	semidirect
481. #388	C₂³	semidirect
482. #388	C₂³	semidirect
483. #388	C₂³	semidirect
484. #388	C₂³	semidirect
485. #388	C₂³	semidirect
486. #388	C₂³	semidirect
487. #388	C₂³	semidirect
488. #388	C₂³	semidirect
489. #388	C₂³	semidirect
490. #388	C₂³	semidirect
491. #388	C₂³	semidirect
492. #388	C₂³	semidirect
493. #388	C₂³	semidirect
494. #388	C₂³	semidirect
495. #388	C₂³	semidirect
496. #388	C₂³	semidirect
497. #387	C₂³	semidirect
498. #387	C₂³	semidirect
499. #387	C₂³	semidirect
500. #387	C₂³	semidirect
501. #387	C₂³	semidirect
502. #387	C₂³	semidirect
503. #387	C₂³	semidirect
504. #387	C₂³	semidirect
505. #387	C₂³	semidirect
506. #387	C₂³	semidirect
507. #387	C₂³	semidirect
508. #387	C₂³	semidirect
509. #387	C₂³	semidirect
510. #387	C₂³	semidirect
528. #386	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
537. #386	C₂³	semidirect
538. #386	C₂³	semidirect
539. #386	C₂³	semidirect
540. #386	C₂³	semidirect
541. #386	C₂³	semidirect
542. #386	C₂³	semidirect
543. #386	C₂³	semidirect
544. #386	C₂³	semidirect
545. #386	C₂³	semidirect
546. #386	C₂³	semidirect
547. #386	C₂³	semidirect
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
569. #381	C₂³	semidirect
570. #381	C₂³	semidirect
580. #380	C₂³	semidirect
581. #380	C₂³	semidirect
597. C₄×C₄⋊C₄	C₂³	semidirect
598. C₄×C₄⋊C₄	C₂³	semidirect
599. C₄×C₄⋊C₄	C₂³	semidirect
615. C₄×C₂²⋊C₄	C₂³	semidirect
616. C₄×C₂²⋊C₄	C₂³	semidirect
617. C₄×C₂²⋊C₄	C₂³	semidirect
618. C₄×C₂²⋊C₄	C₂³	semidirect
619. C₄×C₂²⋊C₄	C₂³	semidirect
620. C₄×C₂²⋊C₄	C₂³	semidirect
621. C₄×C₂²⋊C₄	C₂³	semidirect
699. C₂³×C₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#59006	2
#58991	2
#48007	2
#48005	2
#43178	2
#43099	2
#41962	2
#41058	2
#41038	2
#40546	2
#40540	2
#39558	2
#39464	2
#37440	2
#35732	2
#35694	2
#35681	2
#35065	2
C₂×#2433	2
C₂×#2613	2
#34358	2
#34238	2
#34171	2