Subgroups — #7626791

Order 512.

9514 conjugacy classes of subgroups.

The subgroup lattice has 1385 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#535	C₂	1	1	yes	maximal, characteristic
2	#34438	C₂	1	4	yes	maximal, complemented
3	#34438	C₂	1	4	yes	maximal, complemented
4	#34415	C₂	1	4	yes	maximal, complemented
5	#34411	C₂	1	4	yes	maximal, complemented
6	#34406	C₂	1	8	yes	maximal, complemented
7	#34379	C₂	1	2	yes	maximal, complemented
8	#34377	C₂	1	2	yes	maximal, complemented
9	#34364	C₂	1	2	yes	maximal, complemented
10	#34363	C₂	1	2	yes	maximal, complemented
11	#34356	C₂	1	4	yes	maximal, complemented
12	#34275	C₂	1	2	yes	maximal, complemented
13	#34269	C₂	1	2	yes	maximal, complemented
14	#34265	C₂	1	2	yes	maximal, complemented
15	#34246	C₂	1	2	yes	maximal, complemented
16	#34240	C₂	1	2	yes	maximal, complemented
17	#34210	C₂	1	2	yes	maximal, complemented
18	#34205	C₂	1	2	yes	maximal, complemented
19	#34198	C₂	1	4	yes	maximal, complemented
20	#34180	C₂	1	1	yes	maximal, characteristic, complemented
21	#34175	C₂	1	1	yes	maximal, characteristic, complemented
22	#34171	C₂	1	1	yes	maximal, characteristic, complemented
23	#34109	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²⋊C₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#535	C₂	1	2	yes	maximal, complemented
27	C₂³×#41	C₂²	1	1	yes	characteristic
28	C₂⁴×D₄	C₂²	1	1	yes	characteristic
29	C₂×#535	C₄	1	32	yes	complemented
30	C₂×#535	C₂²	1	1	yes	characteristic
31	C₂×#535	C₂²	1	4	yes	—
32	C₂×#535	C₂²	1	2	yes	—
33	C₂×#535	C₂²	1	2	yes	—
34	C₂×#535	C₂²	1	2	yes	—
35	C₂×#535	C₂²	1	2	yes	—
36	C₂×#535	C₂²	1	1	yes	characteristic
37	C₂×#535	C₂²	1	1	yes	characteristic
38	C₂×#535	C₂²	1	1	yes	characteristic
39	C₂²×#127	C₂²	1	2	yes	—
40	C₂²×#124	C₂²	1	2	yes	—
41	C₂²×#121	C₂²	1	2	yes	—
42	C₂²×#121	C₂²	1	2	yes	—
43	C₂²×#120	C₂²	1	4	yes	—
44	C₂×#520	C₂²	1	2	yes	complemented
45	C₂×#518	C₂²	1	2	yes	complemented
46	C₂×#518	C₂²	1	4	yes	complemented
47	C₂×C₄×#41	C₂²	1	2	yes	complemented
48	C₂²×C₄×D₄	C₂²	1	2	yes	complemented
49	C₂²×#117	C₂²	1	1	yes	characteristic
50	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
51	#2380	C₂²	1	8	yes	complemented
52	#2379	C₂²	1	8	yes	complemented
53	#2377	C₂²	1	8	yes	complemented
54	#2377	C₂²	1	8	yes	complemented
55	#2375	C₂²	1	8	yes	complemented
56	#2375	C₂²	1	8	yes	complemented
57	#2372	C₂²	1	8	yes	complemented
58	#2367	C₂²	1	4	yes	complemented
59	#2367	C₂²	1	4	yes	complemented
60	#2367	C₂²	1	4	yes	complemented
61	#2367	C₂²	1	4	yes	complemented
62	#2366	C₂²	1	4	yes	complemented
63	#2366	C₂²	1	4	yes	complemented
64	#2366	C₂²	1	4	yes	complemented
65	#2366	C₂²	1	4	yes	complemented
66	#2366	C₂²	1	8	yes	complemented
67	#2364	C₂²	1	8	yes	complemented
68	#2364	C₂²	1	8	yes	complemented
69	#2363	C₂²	1	4	yes	complemented
70	#2363	C₂²	1	4	yes	complemented
71	#2363	C₂²	1	4	yes	complemented
72	#2363	C₂²	1	4	yes	complemented
73	#2361	C₂²	1	4	yes	complemented
74	#2361	C₂²	1	4	yes	complemented
75	#2361	C₂²	1	4	yes	complemented
76	#2361	C₂²	1	4	yes	complemented
77	#2358	C₂²	1	8	yes	complemented
78	#2358	C₂²	1	8	yes	complemented
79	#2358	C₂²	1	8	yes	complemented
80	#2358	C₂²	1	8	yes	complemented
81	#2358	C₂²	1	8	yes	complemented
82	#2358	C₂²	1	8	yes	complemented
83	#2347	C₂²	1	2	yes	complemented
84	#2347	C₂²	1	2	yes	complemented
85	#2346	C₂²	1	2	yes	complemented
86	#2346	C₂²	1	2	yes	complemented
87	#2345	C₂²	1	1	yes	characteristic, complemented
88	#2345	C₂²	1	1	yes	characteristic, complemented
89	#2345	C₂²	1	2	yes	complemented
90	#2344	C₂²	1	1	yes	characteristic, complemented
91	#2344	C₂²	1	2	yes	complemented
92	#2344	C₂²	1	1	yes	characteristic, complemented
93	#2343	C₂²	1	4	yes	complemented
94	#2343	C₂²	1	4	yes	complemented
95	#2342	C₂²	1	2	yes	—
96	#2342	C₂²	1	4	yes	—
97	#2342	C₂²	1	2	yes	—
98	#2342	C₂²	1	4	yes	complemented
99	#2342	C₂²	1	4	yes	complemented
100	#2342	C₂²	1	4	yes	complemented
101	#2342	C₂²	1	4	yes	complemented
102	#2341	C₂²	1	2	yes	complemented
103	#2341	C₂²	1	2	yes	complemented
104	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
105	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
106	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
107	#2339	C₂²	1	4	yes	complemented
108	#2339	C₂²	1	4	yes	complemented
109	#2339	C₂²	1	2	yes	complemented
110	#2339	C₂²	1	2	yes	complemented
111	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
112	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
113	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
114	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
115	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
116	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
117	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
118	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
119	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
120	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
121	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
122	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
123	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
124	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
125	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
126	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
127	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
128	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
129	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
130	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
131	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
132	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
133	#2337	C₂²	1	8	yes	complemented
134	#2337	C₂²	1	8	yes	complemented
135	#2333	C₂²	1	8	yes	complemented
136	#2333	C₂²	1	8	yes	complemented
137	#2328	C₂²	1	4	yes	complemented
138	#2328	C₂²	1	4	yes	complemented
139	#2328	C₂²	1	8	yes	complemented
140	#2328	C₂²	1	8	yes	complemented
141	#2326	C₂²	1	4	yes	complemented
142	#2326	C₂²	1	4	yes	complemented
143	#2325	C₂²	1	8	yes	complemented
144	#2325	C₂²	1	8	yes	complemented
145	#2324	C₂²	1	4	yes	complemented
146	#2324	C₂²	1	4	yes	complemented
147	#2324	C₂²	1	4	yes	complemented
148	#2324	C₂²	1	4	yes	complemented
149	#2321	C₂²	1	8	yes	complemented
150	#2321	C₂²	1	8	yes	complemented
151	#2321	C₂²	1	8	yes	complemented
152	#2321	C₂²	1	8	yes	complemented
153	#2321	C₂²	1	8	yes	complemented
154	#2321	C₂²	1	8	yes	complemented
155	#2317	C₂²	1	2	yes	complemented
156	#2315	C₂²	1	4	yes	complemented
157	#2314	C₂²	1	4	yes	complemented
158	#2312	C₂²	1	4	yes	complemented
159	#2312	C₂²	1	4	yes	complemented
160	#2311	C₂²	1	2	yes	complemented
161	#2311	C₂²	1	4	yes	complemented
162	#2309	C₂²	1	2	yes	complemented
163	#2309	C₂²	1	4	yes	complemented
164	#2308	C₂²	1	4	yes	complemented
165	#2308	C₂²	1	4	yes	complemented
166	#2308	C₂²	1	4	yes	complemented
167	C₄×#127	C₂²	1	4	yes	complemented
168	C₄×#127	C₂²	1	4	yes	complemented
169	C₄×#124	C₂²	1	4	yes	complemented
170	C₄×#124	C₂²	1	4	yes	complemented
171	C₄×#121	C₂²	1	4	yes	complemented
172	C₄×#121	C₂²	1	4	yes	complemented
173	C₄×#121	C₂²	1	4	yes	complemented
174	C₄×#121	C₂²	1	4	yes	complemented
175	C₄×#120	C₂²	1	8	yes	complemented
176	C₄×#120	C₂²	1	8	yes	complemented
177	#2298	C₂²	1	4	yes	complemented
178	#2297	C₂²	1	2	yes	complemented
179	#2297	C₂²	1	4	yes	complemented
180	#2296	C₂²	1	2	yes	complemented
181	C₂×#390	C₂²	1	2	yes	complemented
182	C₂×#386	C₂²	1	4	yes	complemented
183	#2285	C₂²	1	2	yes	complemented
184	#2283	C₂²	1	2	yes	complemented
185	#2283	C₂²	1	2	yes	complemented
186	#2280	C₂²	1	1	yes	characteristic
187	#2280	C₂²	1	1	yes	characteristic
188	#2280	C₂²	1	2	yes	complemented
189	#2280	C₂²	1	2	yes	complemented
190	C₂×#380	C₂²	1	1	yes	characteristic
191	C₂×#380	C₂²	1	2	yes	complemented
192	C₂×#379	C₂²	1	2	yes	—
193	C₂×#379	C₂²	1	4	yes	—
194	#2274	C₂²	1	2	yes	complemented
195	#2273	C₂²	1	4	yes	complemented
196	C₄×#117	C₂²	1	2	yes	complemented
197	C₄×#117	C₂²	1	2	yes	complemented
198	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
199	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
200	C₂⁶	C₂³	1	2	yes	—
201	C₂²×#41	—	4	8	no	—
202	C₂²×#41	C₂×C₄	1	16	yes	complemented
203	C₂²×#41	C₂³	1	1	yes	characteristic
204	C₂²×#41	C₂³	1	1	yes	characteristic
205	C₂²×#41	C₂³	1	2	yes	—
206	C₂²×#41	C₂³	1	2	yes	—
207	C₂²×#41	C₂³	1	1	yes	characteristic
208	C₂²×#41	C₂³	1	1	yes	characteristic
209	C₂³×Q₈	C₂³	1	1	yes	characteristic
210	C₂³×D₄	—	4	8	no	—
211	C₂³×D₄	C₂×C₄	1	16	yes	complemented
212	C₂³×D₄	C₂³	1	1	yes	characteristic
213	C₂³×D₄	C₂³	1	1	yes	characteristic
214	C₂³×D₄	C₂³	1	2	yes	—
215	C₂³×D₄	C₂³	1	2	yes	—
216	C₂³×D₄	C₂³	1	2	yes	—
217	C₂³×D₄	C₂³	1	2	yes	—
218	C₂³×D₄	C₂³	1	2	yes	—
219	C₂³×D₄	C₂³	1	2	yes	—
220	C₂³×D₄	C₂³	1	4	yes	—
221	C₂³×D₄	C₂³	1	1	yes	characteristic
222	C₂³×D₄	C₂³	1	4	yes	—
223	C₂⁴×C₄	C₂³	1	1	yes	characteristic
224	C₂⁴×C₄	C₂³	1	4	yes	—
225	C₂⁴×C₄	C₂³	1	2	yes	—
226	#535	C₂×C₄	1	16	yes	complemented
227	#535	C₂×C₄	1	16	yes	complemented
228	#535	C₂×C₄	1	16	yes	complemented
229	#535	C₂×C₄	1	16	yes	complemented
230	#535	C₂×C₄	1	64	yes	complemented
231	#535	C₂×C₄	1	32	yes	complemented
232	#535	C₂×C₄	1	32	yes	complemented
233	#535	C₂×C₄	1	32	yes	complemented
234	#535	C₂×C₄	1	32	yes	complemented
235	C₂×#127	C₂×C₄	1	32	yes	complemented
236	C₂×#127	C₂³	1	2	yes	—
237	C₂×#127	C₂³	1	2	yes	—
238	C₂×#127	C₂³	1	2	yes	—
239	C₂×#127	C₂³	1	4	yes	—
240	C₂×#127	C₂³	1	2	yes	—
241	C₂×#127	C₂³	1	4	yes	—
242	C₂×#124	C₂×C₄	1	32	yes	complemented
243	C₂×#124	C₂³	1	2	yes	—
244	C₂×#124	C₂³	1	2	yes	—
245	C₂×#124	C₂³	1	2	yes	—
246	C₂×#124	C₂³	1	4	yes	—
247	C₂×#124	C₂³	1	2	yes	—
248	C₂×#124	C₂³	1	4	yes	—
249	C₂×#121	C₂×C₄	1	32	yes	complemented
250	C₂×#121	C₂×C₄	1	32	yes	complemented
251	C₂×#121	C₂³	1	2	yes	—
252	C₂×#121	C₂³	1	2	yes	—
253	C₂×#121	C₂³	1	2	yes	—
254	C₂×#121	C₂³	1	2	yes	—
255	C₂×#121	C₂³	1	2	yes	—
256	C₂×#121	C₂³	1	2	yes	—
257	C₂×#121	C₂³	1	4	yes	—
258	C₂×#121	C₂³	1	4	yes	—
259	C₂×#121	C₂³	1	2	yes	—
260	C₂×#121	C₂³	1	2	yes	—
261	C₂×#121	C₂³	1	4	yes	—
262	C₂×#121	C₂³	1	4	yes	—
263	C₂×#120	C₂×C₄	1	64	yes	complemented
264	C₂×#120	C₂³	1	4	yes	—
265	C₂×#120	C₂³	1	4	yes	—
266	C₂×#120	C₂³	1	4	yes	—
267	C₂×#120	C₂³	1	4	yes	—
268	C₂×#120	C₂³	1	4	yes	—
269	C₂×#120	C₂³	1	4	yes	—
270	C₂×#120	C₂³	1	4	yes	—
271	C₂×#120	C₂³	1	4	yes	—
272	#520	—	4	8	no	—
273	#518	—	4	16	no	—
274	#518	—	4	8	no	—
275	C₄×#41	—	4	8	no	—
276	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
277	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
278	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
279	C₂×C₄×D₄	—	4	8	no	—
280	C₂×C₄×D₄	C₂³	1	4	yes	—
281	C₂×C₄×D₄	C₂³	1	4	yes	—
282	C₂×C₄×D₄	C₂³	1	4	yes	—
283	C₂×C₄×D₄	C₂³	1	8	yes	—
284	C₂×C₄×D₄	C₂³	1	4	yes	—
285	C₂×C₄×D₄	C₂³	1	4	yes	—
286	C₂×C₄×D₄	C₂³	1	4	yes	—
287	C₂×C₄×D₄	C₂³	1	4	yes	—
288	C₂×C₄×D₄	C₂³	1	4	yes	—
289	C₂×C₄×D₄	C₂³	1	4	yes	—
290	C₂×C₄×D₄	C₂³	1	4	yes	—
291	C₂×C₄×D₄	C₂³	1	2	yes	complemented
292	C₂×C₄×D₄	C₂³	1	8	yes	complemented
293	C₂×C₄×D₄	C₂³	1	4	yes	complemented
294	C₂×C₄×D₄	C₂³	1	8	yes	complemented
295	C₂×C₄×D₄	C₂³	1	8	yes	complemented
296	C₂×C₄×D₄	C₂³	1	8	yes	complemented
297	C₂×C₄×D₄	C₂³	1	2	yes	complemented
298	C₂×C₄×D₄	C₂³	1	8	yes	complemented
299	C₂×C₄×D₄	C₂³	1	8	yes	complemented
300	C₂×C₄×D₄	C₂³	1	8	yes	complemented
301	C₂×C₄×D₄	C₂³	1	8	yes	complemented
302	C₂×#117	C₂×C₄	1	16	yes	complemented
303	C₂×#117	C₂³	1	2	yes	—
304	C₂×#117	C₂³	1	2	yes	—
305	C₂×#117	C₂³	1	2	yes	—
306	C₂×#117	C₂³	1	2	yes	—
307	C₂×#117	C₂³	1	4	yes	—
308	C₂×#117	C₂³	1	1	yes	characteristic
309	C₂×#117	C₂³	1	2	yes	—
310	C₂×#117	C₂³	1	1	yes	characteristic
311	C₂×#117	C₂³	1	2	yes	—
312	C₂×#117	C₂³	1	1	yes	characteristic
313	C₂×#117	C₂³	1	1	yes	characteristic
314	C₂×#117	C₂³	1	4	yes	complemented
315	C₂×#117	C₂³	1	4	yes	complemented
316	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
317	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
320	C₂²×C₂²⋊C₄	—	4	8	no	—
321	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
322	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
324	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
327	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
328	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
330	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
331	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
332	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
333	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
335	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
336	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
337	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
338	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
339	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
340	C₂²×C₄²	C₂³	1	2	yes	—
341	C₂²×C₄²	C₂³	1	2	yes	—
342	C₂²×C₄²	C₂³	1	4	yes	complemented
343	#391	C₂³	1	4	yes	complemented
344	#391	C₂³	1	8	yes	complemented
345	#391	C₂³	1	2	yes	complemented
346	#391	C₂³	1	4	yes	complemented
347	#391	C₂³	1	4	yes	complemented
348	#391	C₂³	1	2	yes	complemented
349	#390	C₂³	1	4	yes	—
350	#390	C₂³	1	4	yes	—
351	#390	C₂³	1	4	yes	—
352	#390	C₂³	1	4	yes	—
353	#390	C₂³	1	4	yes	—
354	#390	C₂³	1	8	yes	—
355	#390	C₂³	1	4	yes	—
356	#390	C₂³	1	4	yes	—
357	#390	C₂³	1	4	yes	—
358	#390	C₂³	1	4	yes	—
359	#390	C₂³	1	4	yes	—
360	#390	C₂³	1	2	yes	complemented
361	#390	C₂³	1	8	yes	complemented
362	#390	C₂³	1	8	yes	complemented
363	#390	C₂³	1	4	yes	complemented
364	#390	C₂³	1	8	yes	complemented
365	#390	C₂³	1	8	yes	complemented
366	#390	C₂³	1	8	yes	complemented
367	#390	C₂³	1	8	yes	complemented
368	#390	C₂³	1	8	yes	complemented
369	#390	C₂³	1	8	yes	complemented
370	#390	C₂³	1	2	yes	complemented
371	#389	C₂³	1	4	yes	complemented
372	#389	C₂³	1	4	yes	complemented
373	#389	C₂³	1	2	yes	complemented
374	#389	C₂³	1	2	yes	complemented
375	#389	C₂³	1	2	yes	complemented
376	#389	C₂³	1	2	yes	complemented
377	#388	C₂³	1	8	yes	—
378	#388	C₂³	1	8	yes	—
379	#388	C₂³	1	4	yes	—
380	#388	C₂³	1	4	yes	—
381	#388	C₂³	1	4	yes	—
382	#388	C₂³	1	4	yes	—
383	#388	C₂³	1	8	yes	complemented
384	#388	C₂³	1	8	yes	complemented
385	#388	C₂³	1	8	yes	complemented
386	#388	C₂³	1	8	yes	complemented
387	#388	C₂³	1	8	yes	complemented
388	#388	C₂³	1	8	yes	complemented
389	#388	C₂³	1	8	yes	complemented
390	#388	C₂³	1	8	yes	complemented
391	#388	C₂³	1	8	yes	complemented
392	#388	C₂³	1	8	yes	complemented
393	#388	C₂³	1	8	yes	complemented
394	#388	C₂³	1	8	yes	complemented
395	#388	C₂³	1	8	yes	complemented
396	#388	C₂³	1	8	yes	complemented
397	#388	C₂³	1	8	yes	complemented
398	#388	C₂³	1	8	yes	complemented
399	#387	C₂³	1	8	yes	complemented
400	#387	C₂³	1	8	yes	complemented
401	#387	C₂³	1	4	yes	complemented
402	#387	C₂³	1	4	yes	complemented
403	#387	C₂³	1	4	yes	complemented
404	#387	C₂³	1	4	yes	complemented
405	#386	C₂³	1	8	yes	—
406	#386	C₂³	1	8	yes	—
407	#386	C₂³	1	8	yes	—
408	#386	C₂³	1	8	yes	—
409	#386	C₂³	1	8	yes	—
410	#386	C₂³	1	8	yes	—
411	#386	C₂³	1	4	yes	—
412	#386	C₂³	1	4	yes	—
413	#386	C₂³	1	4	yes	—
414	#386	C₂³	1	8	yes	—
415	#386	C₂³	1	8	yes	—
416	#386	C₂³	1	8	yes	—
417	#386	C₂³	1	8	yes	—
418	#386	C₂³	1	4	yes	—
419	#386	C₂³	1	8	yes	complemented
420	#386	C₂³	1	8	yes	complemented
421	#386	C₂³	1	8	yes	complemented
422	#386	C₂³	1	8	yes	complemented
423	#386	C₂³	1	8	yes	complemented
424	#386	C₂³	1	8	yes	complemented
425	#386	C₂³	1	8	yes	complemented
426	#386	C₂³	1	8	yes	complemented
427	#386	C₂³	1	8	yes	complemented
428	#386	C₂³	1	8	yes	complemented
429	#386	C₂³	1	8	yes	complemented
430	#386	C₂³	1	8	yes	complemented
431	#386	C₂³	1	8	yes	complemented
432	#386	C₂³	1	8	yes	complemented
433	#386	C₂³	1	8	yes	complemented
434	#386	C₂³	1	8	yes	complemented
435	#386	C₂³	1	4	yes	complemented
436	#386	C₂³	1	4	yes	complemented
437	#386	C₂³	1	8	yes	complemented
438	#385	C₂³	1	8	yes	—
439	#385	C₂³	1	4	yes	—
440	#385	C₂³	1	4	yes	—
441	#385	C₂³	1	8	yes	complemented
442	#385	C₂³	1	8	yes	complemented
443	#385	C₂³	1	8	yes	complemented
444	#385	C₂³	1	8	yes	complemented
445	#385	C₂³	1	8	yes	complemented
446	#385	C₂³	1	8	yes	complemented
447	#385	C₂³	1	8	yes	complemented
448	#385	C₂³	1	8	yes	complemented
449	#384	C₂³	1	4	yes	complemented
450	#383	C₂³	1	4	yes	complemented
451	#383	C₂³	1	4	yes	complemented
452	#382	C₂³	1	4	yes	complemented
453	#382	C₂³	1	4	yes	complemented
454	#382	C₂³	1	4	yes	complemented
455	#381	C₂³	1	2	yes	—
456	#381	C₂³	1	2	yes	—
457	#381	C₂³	1	2	yes	—
458	#381	C₂³	1	2	yes	—
459	#381	C₂³	1	4	yes	—
460	#381	C₂³	1	4	yes	complemented
461	#381	C₂³	1	4	yes	complemented
462	#380	C₂³	1	2	yes	—
463	#380	C₂³	1	2	yes	—
464	#380	C₂³	1	2	yes	—
465	#380	C₂³	1	2	yes	—
466	#380	C₂³	1	4	yes	—
467	#380	C₂³	1	4	yes	—
468	#380	C₂³	1	2	yes	—
469	#380	C₂³	1	2	yes	—
470	#380	C₂³	1	2	yes	—
471	#380	C₂³	1	2	yes	—
472	#380	C₂³	1	2	yes	—
473	#380	C₂³	1	1	yes	characteristic
474	#380	C₂³	1	1	yes	characteristic
475	#380	C₂³	1	2	yes	—
476	#380	C₂³	1	1	yes	characteristic
477	#380	C₂³	1	1	yes	characteristic
478	#380	C₂³	1	4	yes	complemented
479	#380	C₂³	1	4	yes	complemented
480	#380	C₂³	1	4	yes	complemented
481	#380	C₂³	1	4	yes	complemented
482	#379	C₂³	1	2	yes	—
483	#379	C₂³	1	8	yes	—
484	#379	C₂³	1	4	yes	—
485	#379	C₂³	1	4	yes	—
486	#379	C₂³	1	4	yes	—
487	#379	C₂³	1	2	yes	—
488	#379	C₂³	1	4	yes	—
489	#379	C₂³	1	4	yes	—
490	#379	C₂³	1	8	yes	—
491	#379	C₂³	1	8	yes	—
492	#379	C₂³	1	2	yes	—
493	#379	C₂³	1	2	yes	—
494	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
495	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
496	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
497	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
498	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
499	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
500	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
501	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
502	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
503	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
504	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
505	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
506	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
507	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
508	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
509	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
510	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
511	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
512	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
513	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
514	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
515	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
516	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
517	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
518	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
519	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
520	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
521	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
522	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
523	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
524	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
525	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
526	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
527	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
528	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
529	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
530	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
531	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
532	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
533	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
534	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
535	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
536	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
537	#376	C₂³	1	4	yes	complemented
538	#376	C₂³	1	4	yes	complemented
539	#376	C₂³	1	4	yes	complemented
540	C₂×#95	C₂³	1	2	yes	—
541	C₂×#95	C₂³	1	2	yes	—
542	C₂×#95	C₂³	1	4	yes	complemented
543	C₂×#95	C₂³	1	4	yes	complemented
544	C₄³	C₂³	1	4	yes	complemented
545	C₂⁵	—	4	4	no	—
546	C₂⁵	—	4	8	no	—
547	C₂⁵	—	4	4	no	—
548	C₂⁵	—	8	4	no	—
549	C₂⁵	C₂²×C₄	1	16	yes	—
550	C₂⁵	C₂⁴	1	1	yes	characteristic
551	C₂⁵	C₂⁴	1	2	yes	—
552	C₂⁵	C₂⁴	1	4	yes	—
553	C₂⁵	C₂⁴	1	2	yes	—
554	C₂⁵	C₂⁴	1	2	yes	—
555	C₂⁵	C₂⁴	1	4	yes	—
556	C₂×#41	—	2	8	no	—
557	C₂×#41	—	2	8	no	—
558	C₂×#41	—	4	8	no	—
559	C₂×#41	—	4	8	no	—
560	C₂×#41	—	4	4	no	—
561	C₂×#41	—	4	4	no	—
562	C₂×#41	—	4	64	no	—
563	C₂×#41	C₂²×C₄	1	8	yes	—
564	C₂×#41	C₂²×C₄	1	8	yes	—
565	C₂×#41	C₂²×C₄	1	16	yes	—
566	C₂×#41	C₂²×C₄	1	16	yes	complemented
567	C₂×#41	C₂²×C₄	1	8	yes	complemented
568	C₂×#41	C₂²×C₄	1	8	yes	complemented
569	C₂²×Q₈	—	4	4	no	—
570	C₂²×Q₈	C₂²×C₄	1	8	yes	complemented
571	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
572	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
573	C₂²×Q₈	C₂⁴	1	2	yes	—
574	C₂²×D₄	—	2	8	no	—
575	C₂²×D₄	—	2	8	no	—
576	C₂²×D₄	—	4	64	no	—
577	C₂²×D₄	—	4	8	no	—
578	C₂²×D₄	—	4	8	no	—
579	C₂²×D₄	—	4	8	no	—
580	C₂²×D₄	—	4	8	no	—
581	C₂²×D₄	—	4	4	no	—
582	C₂²×D₄	—	4	8	no	—
583	C₂²×D₄	—	4	8	no	—
584	C₂²×D₄	—	4	8	no	—
585	C₂²×D₄	—	4	8	no	—
586	C₂²×D₄	—	8	8	no	—
587	C₂²×D₄	C₂²×C₄	1	8	yes	—
588	C₂²×D₄	C₂²×C₄	1	8	yes	—
589	C₂²×D₄	C₂²×C₄	1	16	yes	—
590	C₂²×D₄	C₂²×C₄	1	16	yes	—
591	C₂²×D₄	C₂²×C₄	1	16	yes	—
592	C₂²×D₄	C₂²×C₄	1	16	yes	—
593	C₂²×D₄	C₂²×C₄	1	16	yes	—
594	C₂²×D₄	C₂²×C₄	1	16	yes	—
595	C₂²×D₄	C₂²×C₄	1	32	yes	complemented
596	C₂²×D₄	C₂²×C₄	1	8	yes	complemented
597	C₂²×D₄	C₂²×C₄	1	32	yes	complemented
598	C₂²×D₄	C₂⁴	1	2	yes	—
599	C₂²×D₄	C₂⁴	1	2	yes	—
600	C₂²×D₄	C₂⁴	1	2	yes	—
601	C₂²×D₄	C₂⁴	1	2	yes	—
602	C₂²×D₄	C₂⁴	1	2	yes	—
603	C₂²×D₄	C₂⁴	1	2	yes	—
604	C₂²×D₄	C₂⁴	1	1	yes	characteristic
605	C₂²×D₄	C₂⁴	1	1	yes	characteristic
606	C₂²×D₄	C₂⁴	1	4	yes	—
607	C₂²×D₄	C₂⁴	1	4	yes	—
608	C₂²×D₄	C₂⁴	1	4	yes	—
609	C₂²×D₄	C₂⁴	1	4	yes	—
610	C₂²×D₄	C₂⁴	1	4	yes	—
611	C₂²×D₄	C₂⁴	1	4	yes	—
612	C₂²×D₄	C₂⁴	1	4	yes	—
613	C₂²×D₄	C₂⁴	1	4	yes	—
614	C₂²×D₄	C₂⁴	1	2	yes	—
615	C₂²×D₄	C₂⁴	1	2	yes	—
616	C₂²×D₄	C₂⁴	1	4	yes	—
617	C₂²×D₄	C₂⁴	1	4	yes	—
618	C₂²×D₄	C₂⁴	1	2	yes	—
619	C₂³×C₄	—	2	8	no	—
620	C₂³×C₄	—	4	8	no	—
621	C₂³×C₄	—	4	8	no	—
622	C₂³×C₄	—	4	8	no	—
623	C₂³×C₄	—	8	4	no	—
624	C₂³×C₄	C₂²×C₄	1	8	yes	—
625	C₂³×C₄	C₂²×C₄	1	16	yes	complemented
626	C₂³×C₄	C₂⁴	1	2	yes	—
627	C₂³×C₄	C₂⁴	1	2	yes	—
628	C₂³×C₄	C₂⁴	1	1	yes	characteristic
629	C₂³×C₄	C₂⁴	1	2	yes	—
630	C₂³×C₄	C₂⁴	1	1	yes	characteristic
631	C₂³×C₄	C₂⁴	1	1	yes	characteristic
632	C₂³×C₄	C₂⁴	1	1	yes	characteristic
633	C₂³×C₄	C₂⁴	1	2	yes	—
634	C₂³×C₄	C₂⁴	1	1	yes	characteristic
635	C₂³×C₄	C₂⁴	1	2	yes	—
636	C₂³×C₄	C₂⁴	1	4	yes	—
637	C₂³×C₄	C₂⁴	1	8	yes	—
638	C₂³×C₄	C₂⁴	1	4	yes	—
639	C₂³×C₄	C₂⁴	1	8	yes	—
640	C₂³×C₄	C₂⁴	1	8	yes	—
641	C₂³×C₄	C₂⁴	1	8	yes	—
642	C₂³×C₄	C₂⁴	1	8	yes	—
643	C₂³×C₄	C₂⁴	1	4	yes	—
644	C₂³×C₄	C₂⁴	1	2	yes	—
645	C₂³×C₄	C₂⁴	1	2	yes	—
646	C₂³×C₄	C₂⁴	1	2	yes	—
647	C₂³×C₄	C₂⁴	1	2	yes	—
648	C₂³×C₄	C₂⁴	1	1	yes	characteristic
649	#127	C₂²×C₄	1	16	yes	—
650	#127	C₂²×C₄	1	16	yes	—
651	#127	C₂²×C₄	1	16	yes	complemented
652	#127	C₂²×C₄	1	16	yes	complemented
653	#127	C₂²×C₄	1	32	yes	complemented
654	#127	C₂²×C₄	1	32	yes	complemented
655	#124	C₂²×C₄	1	16	yes	—
656	#124	C₂²×C₄	1	16	yes	—
657	#124	C₂²×C₄	1	16	yes	complemented
658	#124	C₂²×C₄	1	16	yes	complemented
659	#124	C₂²×C₄	1	32	yes	complemented
660	#124	C₂²×C₄	1	32	yes	complemented
661	#121	C₂²×C₄	1	16	yes	—
662	#121	C₂²×C₄	1	16	yes	—
663	#121	C₂²×C₄	1	16	yes	—
664	#121	C₂²×C₄	1	16	yes	—
665	#121	C₂²×C₄	1	32	yes	complemented
666	#121	C₂²×C₄	1	32	yes	complemented
667	#121	C₂²×C₄	1	32	yes	complemented
668	#121	C₂²×C₄	1	32	yes	complemented
669	#121	C₂²×C₄	1	16	yes	complemented
670	#121	C₂²×C₄	1	16	yes	complemented
671	#121	C₂²×C₄	1	16	yes	complemented
672	#121	C₂²×C₄	1	16	yes	complemented
673	#120	C₂²×C₄	1	32	yes	—
674	#120	C₂²×C₄	1	32	yes	—
675	#120	C₂²×C₄	1	32	yes	—
676	#120	C₂²×C₄	1	32	yes	—
677	#120	C₂²×C₄	1	32	yes	complemented
678	#120	C₂²×C₄	1	32	yes	complemented
679	#120	C₂²×C₄	1	32	yes	complemented
680	#120	C₂²×C₄	1	32	yes	complemented
681	C₄×Q₈	—	4	4	no	—
682	C₄×Q₈	—	4	4	no	—
683	C₄×Q₈	—	4	8	no	—
684	C₄×D₄	—	4	16	no	—
685	C₄×D₄	—	4	8	no	—
686	C₄×D₄	—	4	8	no	—
687	C₄×D₄	—	4	8	no	—
688	C₄×D₄	—	4	8	no	—
689	C₄×D₄	—	4	8	no	—
690	C₄×D₄	—	4	8	no	—
691	C₄×D₄	—	4	8	no	—
692	C₄×D₄	—	4	8	no	—
693	C₄×D₄	—	4	4	no	—
694	C₄×D₄	—	4	4	no	—
695	C₄×D₄	—	4	8	no	—
696	C₄×D₄	—	4	16	no	—
697	C₄×D₄	—	4	16	no	—
698	C₄×D₄	—	4	16	no	—
699	C₄×D₄	—	4	8	no	—
700	C₄×D₄	—	4	8	no	—
701	C₄×D₄	—	4	16	no	—
702	C₄×D₄	—	8	8	no	—
703	C₄×D₄	—	8	8	no	—
704	C₄×D₄	—	8	8	no	—
705	C₄×D₄	—	8	8	no	—
706	#117	—	2	8	no	—
707	#117	—	2	8	no	—
708	#117	—	2	8	no	—
709	#117	—	4	8	no	—
710	#117	—	4	4	no	—
711	#117	—	4	8	no	—
712	#117	—	4	8	no	—
713	#117	C₂²×C₄	1	8	yes	—
714	#117	C₂²×C₄	1	8	yes	—
715	#117	C₂²×C₄	1	16	yes	—
716	#117	C₂²×C₄	1	16	yes	complemented
717	#117	C₂²×C₄	1	8	yes	complemented
718	#117	C₂²×C₄	1	8	yes	complemented
719	C₂×C₄⋊C₄	—	2	8	no	—
720	C₂×C₄⋊C₄	—	4	8	no	—
721	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
722	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
723	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
724	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
725	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
726	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
727	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
728	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
729	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
730	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
731	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
732	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
733	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
734	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
735	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
736	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
737	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
738	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
739	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
743	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
744	C₂×C₂²⋊C₄	—	2	4	no	—
745	C₂×C₂²⋊C₄	—	2	16	no	—
746	C₂×C₂²⋊C₄	—	2	8	no	—
747	C₂×C₂²⋊C₄	—	4	16	no	—
748	C₂×C₂²⋊C₄	—	4	8	no	—
749	C₂×C₂²⋊C₄	—	4	8	no	—
750	C₂×C₂²⋊C₄	—	4	4	no	—
751	C₂×C₂²⋊C₄	—	4	4	no	—
752	C₂×C₂²⋊C₄	—	4	8	no	—
753	C₂×C₂²⋊C₄	—	4	2	no	—
754	C₂×C₂²⋊C₄	—	4	8	no	—
755	C₂×C₂²⋊C₄	—	4	8	no	—
756	C₂×C₂²⋊C₄	—	4	16	no	—
757	C₂×C₂²⋊C₄	—	4	8	no	—
758	C₂×C₂²⋊C₄	—	8	8	no	—
759	C₂×C₂²⋊C₄	—	8	4	no	—
760	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
761	C₂×C₂²⋊C₄	C₂²×C₄	1	32	yes	complemented
762	C₂×C₂²⋊C₄	C₂²×C₄	1	32	yes	complemented
763	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
764	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
765	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
766	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
768	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
769	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
771	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
773	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
774	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
777	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
778	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
779	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
780	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
781	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
782	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
783	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
784	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
785	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
786	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
787	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
788	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
789	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
790	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
792	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
795	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
798	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
801	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
802	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
803	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
812	C₂×C₄²	—	2	8	no	—
813	C₂×C₄²	—	4	8	no	—
814	C₂×C₄²	C₂²×C₄	1	16	yes	complemented
815	C₂×C₄²	C₂⁴	1	4	yes	—
816	C₂×C₄²	C₂⁴	1	4	yes	—
817	C₂×C₄²	C₂⁴	1	4	yes	—
818	C₂×C₄²	C₂⁴	1	2	yes	—
819	C₂×C₄²	C₂⁴	1	2	yes	—
820	C₂×C₄²	C₂⁴	1	2	yes	—
821	C₂×C₄²	C₂⁴	1	2	yes	—
822	C₂×C₄²	C₂⁴	1	8	yes	—
823	C₂×C₄²	C₂⁴	1	4	yes	—
824	C₂×C₄²	C₂⁴	1	8	yes	—
825	C₂×C₄²	C₂⁴	1	4	yes	—
826	C₂×C₄²	C₂⁴	1	4	yes	—
827	C₂×C₄²	C₂⁴	1	4	yes	—
828	C₂×C₄²	C₂⁴	1	4	yes	—
829	C₂×C₄²	C₂⁴	1	8	yes	—
830	C₂×C₄²	C₂⁴	1	2	yes	—
831	C₂×C₄²	C₂⁴	1	2	yes	—
832	C₂×C₄²	C₂⁴	1	2	yes	—
833	C₂×C₄²	C₂⁴	1	2	yes	—
834	#95	C₂⁴	1	2	yes	—
835	#95	C₂⁴	1	4	yes	—
836	#95	C₂⁴	1	2	yes	—
837	#95	C₂⁴	1	4	yes	—
838	#95	C₂⁴	1	2	yes	—
839	#95	C₂⁴	1	2	yes	—
840	#95	C₂⁴	1	2	yes	—
841	#95	C₂⁴	1	4	yes	—
842	#95	C₂⁴	1	4	yes	—
843	#95	C₂⁴	1	4	yes	—
844	#95	C₂⁴	1	8	yes	—
845	#95	C₂⁴	1	2	yes	—
846	#95	C₂⁴	1	4	yes	—
847	#95	C₂⁴	1	4	yes	—
848	#95	C₂⁴	1	4	yes	—
849	#95	C₂⁴	1	4	yes	—
850	#95	C₂⁴	1	4	yes	—
851	#95	C₂⁴	1	4	yes	—
852	#95	C₂⁴	1	4	yes	—
853	#95	C₂⁴	1	8	yes	—
854	#95	C₂⁴	1	2	yes	—
855	#95	C₂⁴	1	8	yes	—
856	#95	C₂⁴	1	8	yes	—
857	#95	C₂⁴	1	2	yes	—
858	#95	C₂⁴	1	8	yes	—
859	#95	C₂⁴	1	8	yes	—
860	#95	C₂⁴	1	4	yes	—
861	#95	C₂⁴	1	4	yes	—
862	#95	C₂⁴	1	4	yes	—
863	#95	C₂⁴	1	4	yes	—
864	C₂⁴	—	2	2	no	—
865	C₂⁴	—	2	8	no	—
866	C₂⁴	—	2	4	no	—
867	C₂⁴	—	2	2	no	—
868	C₂⁴	—	2	4	no	—
869	C₂⁴	—	2	8	no	—
870	C₂⁴	—	2	8	no	—
871	C₂⁴	—	2	4	no	—
872	C₂⁴	—	2	8	no	—
873	C₂⁴	—	4	2	no	—
874	C₂⁴	—	4	4	no	—
875	C₂⁴	—	4	2	no	—
876	C₂⁴	—	4	2	no	—
877	C₂⁴	—	4	2	no	—
878	C₂⁴	—	4	4	no	—
879	C₂⁴	—	4	4	no	—
880	C₂⁴	—	4	8	no	—
881	C₂⁴	—	4	4	no	—
882	C₂⁴	—	4	32	no	—
883	C₂⁴	—	4	8	no	—
884	C₂⁴	—	4	8	no	—
885	C₂⁴	—	4	4	no	—
886	C₂⁴	—	4	8	no	—
887	C₂⁴	—	4	32	no	—
888	C₂⁴	—	4	2	no	—
889	C₂⁴	—	4	4	no	—
890	C₂⁴	—	8	16	no	—
891	C₂⁴	—	8	32	no	—
892	C₂⁴	—	8	32	no	—
893	C₂⁴	C₂³×C₄	1	4	yes	—
894	C₂⁴	C₂³×C₄	1	16	yes	—
895	C₂⁴	C₂³×C₄	1	8	yes	—
896	C₂⁴	C₂³×C₄	1	8	yes	—
897	C₂⁴	C₂³×C₄	1	8	yes	—
898	C₂⁴	C₂³×C₄	1	16	yes	—
899	C₂⁴	C₂⁵	1	1	yes	characteristic
900	C₂⁴	C₂⁵	1	4	yes	—
901	C₂⁴	C₂⁵	1	4	yes	—
902	C₂⁴	C₂⁵	1	2	yes	—
903	C₂⁴	C₂⁵	1	2	yes	—
904	C₂⁴	C₂⁵	1	1	yes	characteristic
905	C₂⁴	C₂⁵	1	1	yes	characteristic
906	#41	—	2	32	no	—
907	#41	—	2	32	no	—
908	#41	—	4	32	no	—
909	#41	—	4	32	no	—
910	#41	—	4	16	no	—
911	#41	—	4	16	no	—
912	C₂×Q₈	—	2	4	no	—
913	C₂×Q₈	—	2	4	no	—
914	C₂×Q₈	—	4	4	no	—
915	C₂×Q₈	—	4	16	no	—
916	C₂×Q₈	C₂³×C₄	1	4	yes	—
917	C₂×Q₈	C₂³×C₄	1	4	yes	—
918	C₂×Q₈	C₂³×C₄	1	8	yes	—
919	C₂×D₄	—	2	8	no	—
920	C₂×D₄	—	2	8	no	—
921	C₂×D₄	—	2	32	no	—
922	C₂×D₄	—	2	32	no	—
923	C₂×D₄	—	2	8	no	—
924	C₂×D₄	—	2	8	no	—
925	C₂×D₄	—	2	8	no	—
926	C₂×D₄	—	2	8	no	—
927	C₂×D₄	—	2	4	no	—
928	C₂×D₄	—	2	4	no	—
929	C₂×D₄	—	4	32	no	—
930	C₂×D₄	—	4	32	no	—
931	C₂×D₄	—	4	32	no	—
932	C₂×D₄	—	4	32	no	—
933	C₂×D₄	—	4	16	no	—
934	C₂×D₄	—	4	4	no	—
935	C₂×D₄	—	4	4	no	—
936	C₂×D₄	—	4	4	no	—
937	C₂×D₄	—	4	4	no	—
938	C₂×D₄	—	4	8	no	—
939	C₂×D₄	—	4	8	no	—
940	C₂×D₄	—	4	8	no	—
941	C₂×D₄	—	4	8	no	—
942	C₂×D₄	—	4	32	no	—
943	C₂×D₄	—	4	8	no	—
944	C₂×D₄	—	4	8	no	—
945	C₂×D₄	—	4	64	no	—
946	C₂×D₄	—	4	4	no	—
947	C₂×D₄	—	4	4	no	—
948	C₂×D₄	—	4	4	no	—
949	C₂×D₄	—	4	4	no	—
950	C₂×D₄	—	4	4	no	—
951	C₂×D₄	—	4	4	no	—
952	C₂×D₄	—	4	4	no	—
953	C₂×D₄	—	4	32	no	—
954	C₂×D₄	—	8	32	no	—
955	C₂×D₄	C₂³×C₄	1	8	yes	—
956	C₂×D₄	C₂³×C₄	1	8	yes	—
957	C₂×D₄	C₂³×C₄	1	8	yes	—
958	C₂×D₄	C₂³×C₄	1	8	yes	—
959	C₂×D₄	C₂³×C₄	1	8	yes	—
960	C₂×D₄	C₂³×C₄	1	8	yes	—
961	C₂×D₄	C₂³×C₄	1	4	yes	—
962	C₂×D₄	C₂³×C₄	1	4	yes	—
963	C₂×D₄	C₂³×C₄	1	16	yes	—
964	C₂×D₄	C₂³×C₄	1	16	yes	—
965	C₂×D₄	C₂³×C₄	1	16	yes	—
966	C₂×D₄	C₂³×C₄	1	16	yes	—
967	C₂×D₄	C₂³×C₄	1	16	yes	—
968	C₂×D₄	C₂³×C₄	1	16	yes	—
969	C₂×D₄	C₂³×C₄	1	16	yes	—
970	C₂×D₄	C₂³×C₄	1	16	yes	—
971	C₂×D₄	C₂³×C₄	1	8	yes	—
972	C₂×D₄	C₂³×C₄	1	8	yes	—
973	C₂×D₄	C₂³×C₄	1	16	yes	—
974	C₂×D₄	C₂³×C₄	1	16	yes	—
975	C₂×D₄	C₂³×C₄	1	8	yes	—
976	C₂²×C₄	—	2	4	no	—
977	C₂²×C₄	—	2	4	no	—
978	C₂²×C₄	—	2	4	no	—
979	C₂²×C₄	—	2	32	no	—
980	C₂²×C₄	—	2	8	no	—
981	C₂²×C₄	—	2	8	no	—
982	C₂²×C₄	—	2	4	no	—
983	C₂²×C₄	—	2	4	no	—
984	C₂²×C₄	—	2	4	no	—
985	C₂²×C₄	—	2	4	no	—
986	C₂²×C₄	—	2	4	no	—
987	C₂²×C₄	—	2	4	no	—
988	C₂²×C₄	—	2	8	no	—
989	C₂²×C₄	—	2	4	no	—
990	C₂²×C₄	—	2	16	no	—
991	C₂²×C₄	—	2	8	no	—
992	C₂²×C₄	—	4	32	no	—
993	C₂²×C₄	—	4	4	no	—
994	C₂²×C₄	—	4	4	no	—
995	C₂²×C₄	—	4	4	no	—
996	C₂²×C₄	—	4	2	no	—
997	C₂²×C₄	—	4	4	no	—
998	C₂²×C₄	—	4	4	no	—
999	C₂²×C₄	—	4	4	no	—
1000	C₂²×C₄	—	4	4	no	—
1001	C₂²×C₄	—	4	8	no	—
1002	C₂²×C₄	—	4	2	no	—
1003	C₂²×C₄	—	4	4	no	—
1004	C₂²×C₄	—	4	2	no	—
1005	C₂²×C₄	—	4	4	no	—
1006	C₂²×C₄	—	4	8	no	—
1007	C₂²×C₄	—	4	8	no	—
1008	C₂²×C₄	—	4	4	no	—
1009	C₂²×C₄	—	4	4	no	—
1010	C₂²×C₄	—	4	8	no	—
1011	C₂²×C₄	—	4	8	no	—
1012	C₂²×C₄	—	4	8	no	—
1013	C₂²×C₄	—	4	8	no	—
1014	C₂²×C₄	—	4	8	no	—
1015	C₂²×C₄	—	4	8	no	—
1016	C₂²×C₄	—	4	8	no	—
1017	C₂²×C₄	—	4	8	no	—
1018	C₂²×C₄	—	4	8	no	—
1019	C₂²×C₄	—	4	8	no	—
1020	C₂²×C₄	—	4	8	no	—
1021	C₂²×C₄	—	8	32	no	—
1022	C₂²×C₄	C₂³×C₄	1	4	yes	—
1023	C₂²×C₄	C₂³×C₄	1	8	yes	—
1024	C₂²×C₄	C₂³×C₄	1	4	yes	—
1025	C₂²×C₄	C₂³×C₄	1	4	yes	—
1026	C₂²×C₄	C₂³×C₄	1	4	yes	—
1027	C₂²×C₄	C₂³×C₄	1	4	yes	—
1028	C₂²×C₄	C₂³×C₄	1	8	yes	—
1029	C₂²×C₄	C₂³×C₄	1	8	yes	—
1030	C₂²×C₄	C₂³×C₄	1	8	yes	—
1031	C₂²×C₄	C₂³×C₄	1	8	yes	—
1032	C₂²×C₄	C₂³×C₄	1	8	yes	—
1033	C₂²×C₄	C₂³×C₄	1	8	yes	—
1034	C₂²×C₄	C₂³×C₄	1	4	yes	—
1035	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
1036	C₂²×C₄	C₂⁵	1	2	yes	—
1037	C₂²×C₄	C₂⁵	1	4	yes	—
1038	C₂²×C₄	C₂⁵	1	2	yes	—
1039	C₂²×C₄	C₂⁵	1	4	yes	—
1040	C₂²×C₄	C₂⁵	1	4	yes	—
1041	C₂²×C₄	C₂⁵	1	8	yes	—
1042	C₂²×C₄	C₂⁵	1	2	yes	—
1043	C₂²×C₄	C₂⁵	1	4	yes	—
1044	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1045	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1046	C₂²×C₄	C₂⁵	1	2	yes	—
1047	C₂²×C₄	C₂⁵	1	2	yes	—
1048	C₂²×C₄	C₂⁵	1	2	yes	—
1049	C₂²×C₄	C₂⁵	1	2	yes	—
1050	C₂²×C₄	C₂⁵	1	2	yes	—
1051	C₂²×C₄	C₂⁵	1	2	yes	—
1052	C₂²×C₄	C₂⁵	1	2	yes	—
1053	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1054	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1055	C₄⋊C₄	—	2	8	no	—
1056	C₄⋊C₄	—	2	8	no	—
1057	C₄⋊C₄	—	2	4	no	—
1058	C₄⋊C₄	—	2	4	no	—
1059	C₄⋊C₄	—	2	8	no	—
1060	C₄⋊C₄	—	2	4	no	—
1061	C₄⋊C₄	—	2	4	no	—
1062	C₄⋊C₄	—	4	8	no	—
1063	C₄⋊C₄	—	4	4	no	—
1064	C₄⋊C₄	—	4	8	no	—
1065	C₄⋊C₄	—	4	4	no	—
1066	C₄⋊C₄	—	4	4	no	—
1067	C₄⋊C₄	—	4	4	no	—
1068	C₄⋊C₄	—	4	8	no	—
1069	C₄⋊C₄	—	4	4	no	—
1070	C₄⋊C₄	C₂³×C₄	1	4	yes	—
1071	C₄⋊C₄	C₂³×C₄	1	4	yes	—
1072	C₄⋊C₄	C₂³×C₄	1	4	yes	—
1073	C₄⋊C₄	C₂³×C₄	1	4	yes	—
1074	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1075	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1076	C₂²⋊C₄	—	2	2	no	—
1077	C₂²⋊C₄	—	2	8	no	—
1078	C₂²⋊C₄	—	2	4	no	—
1079	C₂²⋊C₄	—	2	4	no	—
1080	C₂²⋊C₄	—	2	8	no	—
1081	C₂²⋊C₄	—	2	8	no	—
1082	C₂²⋊C₄	—	2	2	no	—
1083	C₂²⋊C₄	—	2	4	no	—
1084	C₂²⋊C₄	—	2	4	no	—
1085	C₂²⋊C₄	—	2	2	no	—
1086	C₂²⋊C₄	—	2	4	no	—
1087	C₂²⋊C₄	—	2	16	no	—
1088	C₂²⋊C₄	—	2	8	no	—
1089	C₂²⋊C₄	—	4	4	no	—
1090	C₂²⋊C₄	—	4	8	no	—
1091	C₂²⋊C₄	—	4	2	no	—
1092	C₂²⋊C₄	—	4	8	no	—
1093	C₂²⋊C₄	—	4	4	no	—
1094	C₂²⋊C₄	—	4	8	no	—
1095	C₂²⋊C₄	—	4	8	no	—
1096	C₂²⋊C₄	—	4	8	no	—
1097	C₂²⋊C₄	—	4	8	no	—
1098	C₂²⋊C₄	—	4	8	no	—
1099	C₂²⋊C₄	—	4	8	no	—
1100	C₂²⋊C₄	—	4	4	no	—
1101	C₂²⋊C₄	—	4	4	no	—
1102	C₂²⋊C₄	—	4	8	no	—
1103	C₂²⋊C₄	—	4	8	no	—
1104	C₂²⋊C₄	—	4	8	no	—
1105	C₂²⋊C₄	—	4	8	no	—
1106	C₂²⋊C₄	—	4	4	no	—
1107	C₂²⋊C₄	—	4	4	no	—
1108	C₂²⋊C₄	—	4	8	no	—
1109	C₂²⋊C₄	—	4	4	no	—
1110	C₂²⋊C₄	—	4	4	no	—
1111	C₂²⋊C₄	—	4	8	no	—
1112	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1113	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1114	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1115	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1116	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
1117	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
1118	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
1119	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
1120	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
1121	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
1122	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
1123	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
1124	C₂²⋊C₄	H(5,𝔽₂)	1	4	yes	—
1125	C₄²	—	2	4	no	—
1126	C₄²	—	2	4	no	—
1127	C₄²	—	2	4	no	—
1128	C₄²	—	2	4	no	—
1129	C₄²	—	2	8	no	—
1130	C₄²	—	2	8	no	—
1131	C₄²	—	2	8	no	—
1132	C₄²	—	4	4	no	—
1133	C₄²	—	4	4	no	—
1134	C₄²	—	4	4	no	—
1135	C₄²	—	4	8	no	—
1136	C₄²	—	4	8	no	—
1137	C₄²	—	4	4	no	—
1138	C₄²	—	4	4	no	—
1139	C₄²	—	4	8	no	—
1140	C₄²	C₂³×C₄	1	8	yes	—
1141	C₄²	C₂³×C₄	1	8	yes	—
1142	C₄²	C₂³×C₄	1	8	yes	—
1143	C₄²	C₂³×C₄	1	8	yes	—
1144	C₂³	—	2	1	no	—
1145	C₂³	—	2	2	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	2	no	—
1148	C₂³	—	2	2	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	4	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	4	no	—
1154	C₂³	—	2	4	no	—
1155	C₂³	—	2	4	no	—
1156	C₂³	—	2	8	no	—
1157	C₂³	—	2	8	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	2	2	no	—
1160	C₂³	—	2	4	no	—
1161	C₂³	—	2	1	no	—
1162	C₂³	—	2	2	no	—
1163	C₂³	—	2	4	no	—
1164	C₂³	—	2	2	no	—
1165	C₂³	—	2	4	no	—
1166	C₂³	—	2	4	no	—
1167	C₂³	—	2	8	no	—
1168	C₂³	—	2	8	no	—
1169	C₂³	—	2	8	no	—
1170	C₂³	—	2	16	no	—
1171	C₂³	—	2	8	no	—
1172	C₂³	—	2	16	no	—
1173	C₂³	—	2	16	no	—
1174	C₂³	—	2	32	no	—
1175	C₂³	—	4	8	no	—
1176	C₂³	—	4	4	no	—
1177	C₂³	—	4	8	no	—
1178	C₂³	—	4	8	no	—
1179	C₂³	—	4	16	no	—
1180	C₂³	—	4	16	no	—
1181	C₂³	—	4	8	no	—
1182	C₂³	—	4	16	no	—
1183	C₂³	—	4	8	no	—
1184	C₂³	—	4	16	no	—
1185	C₂³	—	4	8	no	—
1186	C₂³	—	4	16	no	—
1187	C₂³	—	4	8	no	—
1188	C₂³	—	4	8	no	—
1189	C₂³	—	4	16	no	—
1190	C₂³	—	4	16	no	—
1191	C₂³	—	8	8	no	—
1192	C₂³	—	8	8	no	—
1193	C₂³	—	8	8	no	—
1194	C₂³	—	8	16	no	—
1195	C₂³	—	8	8	no	—
1196	C₂³	—	8	16	no	—
1197	C₂³	—	8	16	no	—
1198	C₂³	—	8	16	no	—
1199	C₂³	—	8	128	no	—
1200	C₂³	C₂⁴×C₄	1	2	yes	—
1201	C₂³	C₂⁴×C₄	1	8	yes	—
1202	C₂³	C₂⁴×C₄	1	8	yes	—
1203	C₂³	C₂⁴×C₄	1	4	yes	—
1204	C₂³	C₂⁴×C₄	1	4	yes	—
1205	C₂³	C₂⁴×C₄	1	2	yes	—
1206	C₂³	C₂⁴×C₄	1	2	yes	—
1207	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1208	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1209	C₂³	#585	1	2	yes	—
1210	C₂³	C₂⁶	1	1	yes	characteristic
1211	Q₈	—	2	8	no	—
1212	Q₈	—	2	8	no	—
1213	Q₈	—	4	8	no	—
1214	D₄	—	2	16	no	—
1215	D₄	—	2	16	no	—
1216	D₄	—	2	16	no	—
1217	D₄	—	2	16	no	—
1218	D₄	—	2	16	no	—
1219	D₄	—	2	16	no	—
1220	D₄	—	2	8	no	—
1221	D₄	—	2	8	no	—
1222	D₄	—	4	16	no	—
1223	D₄	—	4	16	no	—
1224	D₄	—	4	16	no	—
1225	D₄	—	4	16	no	—
1226	D₄	—	4	16	no	—
1227	D₄	—	4	16	no	—
1228	D₄	—	4	8	no	—
1229	D₄	—	4	8	no	—
1230	D₄	—	4	8	no	—
1231	D₄	—	4	16	no	—
1232	D₄	—	4	16	no	—
1233	D₄	—	4	16	no	—
1234	D₄	—	4	16	no	—
1235	C₂×C₄	—	2	2	no	—
1236	C₂×C₄	—	2	2	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	4	no	—
1239	C₂×C₄	—	2	4	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	4	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	8	no	—
1248	C₂×C₄	—	2	16	no	—
1249	C₂×C₄	—	2	8	no	—
1250	C₂×C₄	—	2	8	no	—
1251	C₂×C₄	—	2	8	no	—
1252	C₂×C₄	—	2	8	no	—
1253	C₂×C₄	—	2	16	no	—
1254	C₂×C₄	—	2	16	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	2	4	no	—
1259	C₂×C₄	—	2	4	no	—
1260	C₂×C₄	—	2	4	no	—
1261	C₂×C₄	—	2	4	no	—
1262	C₂×C₄	—	2	4	no	—
1263	C₂×C₄	—	2	4	no	—
1264	C₂×C₄	—	2	8	no	—
1265	C₂×C₄	—	2	8	no	—
1266	C₂×C₄	—	2	2	no	—
1267	C₂×C₄	—	2	2	no	—
1268	C₂×C₄	—	2	4	no	—
1269	C₂×C₄	—	2	2	no	—
1270	C₂×C₄	—	2	4	no	—
1271	C₂×C₄	—	2	2	no	—
1272	C₂×C₄	—	2	4	no	—
1273	C₂×C₄	—	2	4	no	—
1274	C₂×C₄	—	2	8	no	—
1275	C₂×C₄	—	2	4	no	—
1276	C₂×C₄	—	2	4	no	—
1277	C₂×C₄	—	2	2	no	—
1278	C₂×C₄	—	2	2	no	—
1279	C₂×C₄	—	4	8	no	—
1280	C₂×C₄	—	4	8	no	—
1281	C₂×C₄	—	4	8	no	—
1282	C₂×C₄	—	4	8	no	—
1283	C₂×C₄	—	4	8	no	—
1284	C₂×C₄	—	8	8	no	—
1285	C₂×C₄	—	8	16	no	—
1286	C₂×C₄	—	8	4	no	—
1287	C₂×C₄	—	8	8	no	—
1288	C₂×C₄	—	8	8	no	—
1289	C₂×C₄	—	8	16	no	—
1290	C₂×C₄	—	16	8	no	—
1291	C₂×C₄	—	16	8	no	—
1292	C₂×C₄	—	16	8	no	—
1293	C₂×C₄	#518	1	16	yes	complemented
1294	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1295	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1296	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1297	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1298	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1299	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1300	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1301	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1302	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1303	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1304	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1305	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1306	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	2	2	no	—
1310	C₂²	—	2	2	no	—
1311	C₂²	—	2	4	no	—
1312	C₂²	—	2	4	no	—
1313	C₂²	—	2	4	no	—
1314	C₂²	—	2	4	no	—
1315	C₂²	—	2	2	no	—
1316	C₂²	—	2	4	no	—
1317	C₂²	—	2	4	no	—
1318	C₂²	—	2	8	no	—
1319	C₂²	—	2	8	no	—
1320	C₂²	—	2	4	no	—
1321	C₂²	—	2	4	no	—
1322	C₂²	—	2	8	no	—
1323	C₂²	—	2	8	no	—
1324	C₂²	—	2	2	no	—
1325	C₂²	—	2	4	no	—
1326	C₂²	—	2	4	no	—
1327	C₂²	—	2	8	no	—
1328	C₂²	—	2	8	no	—
1329	C₂²	—	2	2	no	—
1330	C₂²	—	4	16	no	—
1331	C₂²	—	4	32	no	—
1332	C₂²	—	4	8	no	—
1333	C₂²	—	4	4	no	—
1334	C₂²	—	4	4	no	—
1335	C₂²	—	4	8	no	—
1336	C₂²	—	4	2	no	—
1337	C₂²	—	4	4	no	—
1338	C₂²	—	4	8	no	—
1339	C₂²	—	4	8	no	—
1340	C₂²	—	4	2	no	—
1341	C₂²	—	4	4	no	—
1342	C₂²	—	8	16	no	—
1343	C₂²	—	8	16	no	—
1344	C₂²	—	8	32	no	—
1345	C₂²	—	8	32	no	—
1346	C₂²	C₂×#518	1	4	yes	—
1347	C₂²	C₄×H(5,𝔽₂)	1	4	yes	—
1348	C₂²	C₂⁵×C₄	1	1	yes	characteristic
1349	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1350	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1351	C₂²	C₂×#585	1	1	yes	characteristic
1352	C₂²	H(7,𝔽₂)	1	2	yes	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	2	4	no	—
1356	C₄	—	2	4	no	—
1357	C₄	—	2	4	no	—
1358	C₄	—	2	4	no	—
1359	C₄	—	2	4	no	—
1360	C₄	—	2	4	no	—
1361	C₄	—	2	4	no	—
1362	C₄	—	4	2	no	—
1363	C₄	—	4	8	no	—
1364	C₄	—	4	4	no	—
1365	C₄	—	4	4	no	—
1366	C₄	—	4	2	no	—
1367	C₄	—	4	2	no	—
1368	C₄	—	4	4	no	—
1369	C₄	—	4	4	no	—
1370	C₄	C₂×#518	1	4	yes	—
1371	C₄	C₂×#518	1	4	yes	—
1372	C₂	—	2	4	no	—
1373	C₂	—	2	4	no	—
1374	C₂	—	4	8	no	—
1375	C₂	—	4	2	no	—
1376	C₂	—	4	4	no	—
1377	C₂	—	4	4	no	—
1378	C₂	—	4	8	no	—
1379	C₂	C₂²×#518	1	1	yes	characteristic
1380	C₂	C₂×C₄×H(5,𝔽₂)	1	1	yes	characteristic
1381	C₂	#62652	1	1	yes	characteristic
1382	C₂	#62912	1	2	yes	—
1383	C₂	#62924	1	2	yes	—

	subgroup	G/H
center, Frattini, socle, cosocle	C₂³	C₂⁶
commutator	C₂²	C₂⁵×C₄
prime radical	C₂²×#535	C₂
LCS	G ▷ C₂² ▷ 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
2. #34438	C₂	semidirect
3. #34438	C₂	semidirect
4. #34415	C₂	semidirect
5. #34411	C₂	semidirect
6. #34406	C₂	semidirect
7. #34379	C₂	semidirect
8. #34377	C₂	semidirect
9. #34364	C₂	semidirect
10. #34363	C₂	semidirect
11. #34356	C₂	semidirect
12. #34275	C₂	semidirect
13. #34269	C₂	semidirect
14. #34265	C₂	semidirect
15. #34246	C₂	semidirect
16. #34240	C₂	semidirect
17. #34210	C₂	semidirect
18. #34205	C₂	semidirect
19. #34198	C₂	semidirect
20. #34180	C₂	semidirect
21. #34175	C₂	semidirect
22. #34171	C₂	semidirect
23. #34109	C₂	semidirect
24. C₂²⋊C₄×#41	C₂	semidirect
25. C₂×D₄×C₂²⋊C₄	C₂	semidirect
26. C₄×#535	C₂	semidirect
29. C₂×#535	C₄	semidirect
44. C₂×#520	C₂²	semidirect
45. C₂×#518	C₂²	semidirect
46. C₂×#518	C₂²	semidirect
47. C₂×C₄×#41	C₂²	semidirect
48. C₂²×C₄×D₄	C₂²	semidirect
51. #2380	C₂²	semidirect
52. #2379	C₂²	semidirect
53. #2377	C₂²	semidirect
54. #2377	C₂²	semidirect
55. #2375	C₂²	semidirect
56. #2375	C₂²	semidirect
57. #2372	C₂²	semidirect
58. #2367	C₂²	semidirect
59. #2367	C₂²	semidirect
60. #2367	C₂²	semidirect
61. #2367	C₂²	semidirect
62. #2366	C₂²	semidirect
63. #2366	C₂²	semidirect
64. #2366	C₂²	semidirect
65. #2366	C₂²	semidirect
66. #2366	C₂²	semidirect
67. #2364	C₂²	semidirect
68. #2364	C₂²	semidirect
69. #2363	C₂²	semidirect
70. #2363	C₂²	semidirect
71. #2363	C₂²	semidirect
72. #2363	C₂²	semidirect
73. #2361	C₂²	semidirect
74. #2361	C₂²	semidirect
75. #2361	C₂²	semidirect
76. #2361	C₂²	semidirect
77. #2358	C₂²	semidirect
78. #2358	C₂²	semidirect
79. #2358	C₂²	semidirect
80. #2358	C₂²	semidirect
81. #2358	C₂²	semidirect
82. #2358	C₂²	semidirect
83. #2347	C₂²	semidirect
84. #2347	C₂²	semidirect
85. #2346	C₂²	semidirect
86. #2346	C₂²	semidirect
87. #2345	C₂²	semidirect
88. #2345	C₂²	semidirect
89. #2345	C₂²	semidirect
90. #2344	C₂²	semidirect
91. #2344	C₂²	semidirect
92. #2344	C₂²	semidirect
93. #2343	C₂²	semidirect
94. #2343	C₂²	semidirect
98. #2342	C₂²	semidirect
99. #2342	C₂²	semidirect
100. #2342	C₂²	semidirect
101. #2342	C₂²	semidirect
102. #2341	C₂²	semidirect
103. #2341	C₂²	semidirect
104. Q₈×C₂²⋊C₄	C₂²	semidirect
105. Q₈×C₂²⋊C₄	C₂²	semidirect
106. Q₈×C₂²⋊C₄	C₂²	semidirect
107. #2339	C₂²	semidirect
108. #2339	C₂²	semidirect
109. #2339	C₂²	semidirect
110. #2339	C₂²	semidirect
122. D₄×C₂²⋊C₄	C₂²	semidirect
123. D₄×C₂²⋊C₄	C₂²	semidirect
124. D₄×C₂²⋊C₄	C₂²	semidirect
125. D₄×C₂²⋊C₄	C₂²	semidirect
126. D₄×C₂²⋊C₄	C₂²	semidirect
127. D₄×C₂²⋊C₄	C₂²	semidirect
128. D₄×C₂²⋊C₄	C₂²	semidirect
129. D₄×C₂²⋊C₄	C₂²	semidirect
130. D₄×C₂²⋊C₄	C₂²	semidirect
131. D₄×C₂²⋊C₄	C₂²	semidirect
132. D₄×C₂²⋊C₄	C₂²	semidirect
133. #2337	C₂²	semidirect
134. #2337	C₂²	semidirect
135. #2333	C₂²	semidirect
136. #2333	C₂²	semidirect
137. #2328	C₂²	semidirect
138. #2328	C₂²	semidirect
139. #2328	C₂²	semidirect
140. #2328	C₂²	semidirect
141. #2326	C₂²	semidirect
142. #2326	C₂²	semidirect
143. #2325	C₂²	semidirect
144. #2325	C₂²	semidirect
145. #2324	C₂²	semidirect
146. #2324	C₂²	semidirect
147. #2324	C₂²	semidirect
148. #2324	C₂²	semidirect
149. #2321	C₂²	semidirect
150. #2321	C₂²	semidirect
151. #2321	C₂²	semidirect
152. #2321	C₂²	semidirect
153. #2321	C₂²	semidirect
154. #2321	C₂²	semidirect
155. #2317	C₂²	semidirect
156. #2315	C₂²	semidirect
157. #2314	C₂²	semidirect
158. #2312	C₂²	semidirect
159. #2312	C₂²	semidirect
160. #2311	C₂²	semidirect
161. #2311	C₂²	semidirect
162. #2309	C₂²	semidirect
163. #2309	C₂²	semidirect
164. #2308	C₂²	semidirect
165. #2308	C₂²	semidirect
166. #2308	C₂²	semidirect
167. C₄×#127	C₂²	semidirect
168. C₄×#127	C₂²	semidirect
169. C₄×#124	C₂²	semidirect
170. C₄×#124	C₂²	semidirect
171. C₄×#121	C₂²	semidirect
172. C₄×#121	C₂²	semidirect
173. C₄×#121	C₂²	semidirect
174. C₄×#121	C₂²	semidirect
175. C₄×#120	C₂²	semidirect
176. C₄×#120	C₂²	semidirect
177. #2298	C₂²	semidirect
178. #2297	C₂²	semidirect
179. #2297	C₂²	semidirect
180. #2296	C₂²	semidirect
181. C₂×#390	C₂²	semidirect
182. C₂×#386	C₂²	semidirect
183. #2285	C₂²	semidirect
184. #2283	C₂²	semidirect
185. #2283	C₂²	semidirect
188. #2280	C₂²	semidirect
189. #2280	C₂²	semidirect
191. C₂×#380	C₂²	semidirect
194. #2274	C₂²	semidirect
195. #2273	C₂²	semidirect
196. C₄×#117	C₂²	semidirect
197. C₄×#117	C₂²	semidirect
199. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
202. C₂²×#41	C₂×C₄	semidirect
211. C₂³×D₄	C₂×C₄	semidirect
226. #535	C₂×C₄	semidirect
227. #535	C₂×C₄	semidirect
228. #535	C₂×C₄	semidirect
229. #535	C₂×C₄	semidirect
230. #535	C₂×C₄	semidirect
231. #535	C₂×C₄	semidirect
232. #535	C₂×C₄	semidirect
233. #535	C₂×C₄	semidirect
234. #535	C₂×C₄	semidirect
235. C₂×#127	C₂×C₄	semidirect
242. C₂×#124	C₂×C₄	semidirect
249. C₂×#121	C₂×C₄	semidirect
250. C₂×#121	C₂×C₄	semidirect
263. C₂×#120	C₂×C₄	semidirect
276. C₂×C₄×Q₈	C₂³	semidirect
277. C₂×C₄×Q₈	C₂³	semidirect
278. C₂×C₄×Q₈	C₂³	semidirect
291. C₂×C₄×D₄	C₂³	semidirect
292. C₂×C₄×D₄	C₂³	semidirect
293. C₂×C₄×D₄	C₂³	semidirect
294. C₂×C₄×D₄	C₂³	semidirect
295. C₂×C₄×D₄	C₂³	semidirect
296. C₂×C₄×D₄	C₂³	semidirect
297. C₂×C₄×D₄	C₂³	semidirect
298. C₂×C₄×D₄	C₂³	semidirect
299. C₂×C₄×D₄	C₂³	semidirect
300. C₂×C₄×D₄	C₂³	semidirect
301. C₂×C₄×D₄	C₂³	semidirect
302. C₂×#117	C₂×C₄	semidirect
314. C₂×#117	C₂³	semidirect
315. C₂×#117	C₂³	semidirect
319. C₂²×C₄⋊C₄	C₂³	semidirect
342. C₂²×C₄²	C₂³	semidirect
343. #391	C₂³	semidirect
344. #391	C₂³	semidirect
345. #391	C₂³	semidirect
346. #391	C₂³	semidirect
347. #391	C₂³	semidirect
348. #391	C₂³	semidirect
360. #390	C₂³	semidirect
361. #390	C₂³	semidirect
362. #390	C₂³	semidirect
363. #390	C₂³	semidirect
364. #390	C₂³	semidirect
365. #390	C₂³	semidirect
366. #390	C₂³	semidirect
367. #390	C₂³	semidirect
368. #390	C₂³	semidirect
369. #390	C₂³	semidirect
370. #390	C₂³	semidirect
371. #389	C₂³	semidirect
372. #389	C₂³	semidirect
373. #389	C₂³	semidirect
374. #389	C₂³	semidirect
375. #389	C₂³	semidirect
376. #389	C₂³	semidirect
383. #388	C₂³	semidirect
384. #388	C₂³	semidirect
385. #388	C₂³	semidirect
386. #388	C₂³	semidirect
387. #388	C₂³	semidirect
388. #388	C₂³	semidirect
389. #388	C₂³	semidirect
390. #388	C₂³	semidirect
391. #388	C₂³	semidirect
392. #388	C₂³	semidirect
393. #388	C₂³	semidirect
394. #388	C₂³	semidirect
395. #388	C₂³	semidirect
396. #388	C₂³	semidirect
397. #388	C₂³	semidirect
398. #388	C₂³	semidirect
399. #387	C₂³	semidirect
400. #387	C₂³	semidirect
401. #387	C₂³	semidirect
402. #387	C₂³	semidirect
403. #387	C₂³	semidirect
404. #387	C₂³	semidirect
419. #386	C₂³	semidirect
420. #386	C₂³	semidirect
421. #386	C₂³	semidirect
422. #386	C₂³	semidirect
423. #386	C₂³	semidirect
424. #386	C₂³	semidirect
425. #386	C₂³	semidirect
426. #386	C₂³	semidirect
427. #386	C₂³	semidirect
428. #386	C₂³	semidirect
429. #386	C₂³	semidirect
430. #386	C₂³	semidirect
431. #386	C₂³	semidirect
432. #386	C₂³	semidirect
433. #386	C₂³	semidirect
434. #386	C₂³	semidirect
435. #386	C₂³	semidirect
436. #386	C₂³	semidirect
437. #386	C₂³	semidirect
441. #385	C₂³	semidirect
442. #385	C₂³	semidirect
443. #385	C₂³	semidirect
444. #385	C₂³	semidirect
445. #385	C₂³	semidirect
446. #385	C₂³	semidirect
447. #385	C₂³	semidirect
448. #385	C₂³	semidirect
449. #384	C₂³	semidirect
450. #383	C₂³	semidirect
451. #383	C₂³	semidirect
452. #382	C₂³	semidirect
453. #382	C₂³	semidirect
454. #382	C₂³	semidirect
460. #381	C₂³	semidirect
461. #381	C₂³	semidirect
478. #380	C₂³	semidirect
479. #380	C₂³	semidirect
480. #380	C₂³	semidirect
481. #380	C₂³	semidirect
494. C₄×C₄⋊C₄	C₂³	semidirect
495. C₄×C₄⋊C₄	C₂³	semidirect
496. C₄×C₄⋊C₄	C₂³	semidirect
497. C₄×C₄⋊C₄	C₂³	semidirect
498. C₄×C₄⋊C₄	C₂³	semidirect
499. C₄×C₄⋊C₄	C₂³	semidirect
500. C₄×C₄⋊C₄	C₂³	semidirect
501. C₄×C₄⋊C₄	C₂³	semidirect
502. C₄×C₄⋊C₄	C₂³	semidirect
503. C₄×C₄⋊C₄	C₂³	semidirect
504. C₄×C₄⋊C₄	C₂³	semidirect
505. C₄×C₄⋊C₄	C₂³	semidirect
525. C₄×C₂²⋊C₄	C₂³	semidirect
526. C₄×C₂²⋊C₄	C₂³	semidirect
527. C₄×C₂²⋊C₄	C₂³	semidirect
528. C₄×C₂²⋊C₄	C₂³	semidirect
529. C₄×C₂²⋊C₄	C₂³	semidirect
530. C₄×C₂²⋊C₄	C₂³	semidirect
531. C₄×C₂²⋊C₄	C₂³	semidirect
532. C₄×C₂²⋊C₄	C₂³	semidirect
533. C₄×C₂²⋊C₄	C₂³	semidirect
534. C₄×C₂²⋊C₄	C₂³	semidirect
535. C₄×C₂²⋊C₄	C₂³	semidirect
536. C₄×C₂²⋊C₄	C₂³	semidirect
537. #376	C₂³	semidirect
538. #376	C₂³	semidirect
539. #376	C₂³	semidirect
542. C₂×#95	C₂³	semidirect
543. C₂×#95	C₂³	semidirect
544. C₄³	C₂³	semidirect
566. C₂×#41	C₂²×C₄	semidirect
567. C₂×#41	C₂²×C₄	semidirect
568. C₂×#41	C₂²×C₄	semidirect
570. C₂²×Q₈	C₂²×C₄	semidirect
595. C₂²×D₄	C₂²×C₄	semidirect
596. C₂²×D₄	C₂²×C₄	semidirect
597. C₂²×D₄	C₂²×C₄	semidirect
625. C₂³×C₄	C₂²×C₄	semidirect
651. #127	C₂²×C₄	semidirect
652. #127	C₂²×C₄	semidirect
653. #127	C₂²×C₄	semidirect
654. #127	C₂²×C₄	semidirect
657. #124	C₂²×C₄	semidirect
658. #124	C₂²×C₄	semidirect
659. #124	C₂²×C₄	semidirect
660. #124	C₂²×C₄	semidirect
665. #121	C₂²×C₄	semidirect
666. #121	C₂²×C₄	semidirect
667. #121	C₂²×C₄	semidirect
668. #121	C₂²×C₄	semidirect
669. #121	C₂²×C₄	semidirect
670. #121	C₂²×C₄	semidirect
671. #121	C₂²×C₄	semidirect
672. #121	C₂²×C₄	semidirect
677. #120	C₂²×C₄	semidirect
678. #120	C₂²×C₄	semidirect
679. #120	C₂²×C₄	semidirect
680. #120	C₂²×C₄	semidirect
716. #117	C₂²×C₄	semidirect
717. #117	C₂²×C₄	semidirect
718. #117	C₂²×C₄	semidirect
721. C₂×C₄⋊C₄	C₂²×C₄	semidirect
722. C₂×C₄⋊C₄	C₂²×C₄	semidirect
761. C₂×C₂²⋊C₄	C₂²×C₄	semidirect
762. C₂×C₂²⋊C₄	C₂²×C₄	semidirect
814. C₂×C₄²	C₂²×C₄	semidirect
1293. C₂×C₄	#518	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#535	2
#34438	2
#34415	2
#34411	2
#34406	2
#34379	2
#34377	2
#34364	2
#34363	2
#34356	2
#34275	2
#34269	2
#34265	2
#34246	2
#34240	2
#34210	2
#34205	2
#34198	2
#34180	2
#34175	2
#34171	2
#34109	2
C₂²⋊C₄×#41	2
C₂×D₄×C₂²⋊C₄	2
C₄×#535	2