Subgroups — C₂²×#3562 #10586140

Order 512.

35550 conjugacy classes of subgroups.

The subgroup lattice has 1011 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3562	C₂	1	96	yes	maximal, direct product factor
2	C₂²×#559	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#556	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#553	C₂	1	2	yes	maximal, complemented
5	C₂²×#551	C₂	1	2	yes	maximal, complemented
6	C₂²×#550	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×#547	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#548	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#548	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#546	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#546	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#562	C₂	1	2	yes	maximal, complemented
13	C₂²×#560	C₂	1	2	yes	maximal, complemented
14	C₂²×#541	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂²×#536	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#540	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×#540	C₂	1	2	yes	maximal, complemented
18	C₂²×#535	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#539	C₂	1	2	yes	maximal, complemented
20	C₂²×#538	C₂	1	2	yes	maximal, complemented
21	C₂²×#538	C₂	1	2	yes	maximal, complemented
22	C₂²×#532	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#529	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#529	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂³×#41	C₂²	1	1	yes	characteristic
26	C₂³×#41	C₂²	1	1	yes	characteristic
27	C₂³×#41	C₂²	1	1	yes	characteristic
28	C₂³×#41	C₂²	1	1	yes	characteristic, complemented
29	C₂⁴×Q₈	C₂²	1	1	yes	characteristic, complemented
30	C₂⁴×D₄	C₂²	1	1	yes	characteristic
31	#3562	C₂²	1	1024	yes	direct product factor
32	C₂×#562	C₂²	1	96	yes	complemented
33	C₂×#560	C₂²	1	96	yes	complemented
34	C₂×#559	C₂²	1	48	yes	complemented
35	C₂×#556	C₂²	1	48	yes	complemented
36	C₂×#553	C₂²	1	96	yes	complemented
37	C₂×#551	C₂²	1	96	yes	complemented
38	C₂×#550	C₂²	1	48	yes	complemented
39	C₂×#548	C₂²	1	48	yes	complemented
40	C₂×#548	C₂²	1	48	yes	complemented
41	C₂×#547	C₂²	1	48	yes	complemented
42	C₂×#546	C₂²	1	48	yes	complemented
43	C₂×#546	C₂²	1	48	yes	complemented
44	C₂×#541	C₂²	1	48	yes	complemented
45	C₂×#540	C₂²	1	48	yes	complemented
46	C₂×#540	C₂²	1	96	yes	complemented
47	C₂×#539	C₂²	1	96	yes	complemented
48	C₂×#538	C₂²	1	96	yes	complemented
49	C₂×#538	C₂²	1	96	yes	complemented
50	C₂×#536	C₂²	1	48	yes	complemented
51	C₂×#535	C₂²	1	48	yes	complemented
52	C₂×#532	C₂²	1	48	yes	complemented
53	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂²×#127	C₂²	1	1	yes	characteristic
56	C₂²×#127	C₂²	1	1	yes	characteristic
57	C₂²×#127	C₂²	1	2	yes	complemented
58	C₂×#529	C₂²	1	48	yes	complemented
59	C₂×#529	C₂²	1	48	yes	complemented
60	C₂²×#126	C₂²	1	1	yes	characteristic
61	C₂²×#126	C₂²	1	2	yes	—
62	C₂²×#126	C₂²	1	2	yes	—
63	C₂²×#126	C₂²	1	2	yes	complemented
64	C₂²×#126	C₂²	1	1	yes	characteristic, complemented
65	C₂²×#126	C₂²	1	2	yes	complemented
66	C₂²×#126	C₂²	1	2	yes	complemented
67	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
68	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
69	C₂²×#125	C₂²	1	2	yes	complemented
70	C₂²×#125	C₂²	1	2	yes	complemented
71	C₂²×#124	C₂²	1	1	yes	characteristic
72	C₂²×#124	C₂²	1	1	yes	characteristic
73	C₂²×#124	C₂²	1	1	yes	characteristic
74	C₂²×#124	C₂²	1	2	yes	—
75	C₂²×#124	C₂²	1	1	yes	characteristic
76	C₂²×#124	C₂²	1	1	yes	characteristic
77	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
78	C₂²×#124	C₂²	1	2	yes	complemented
79	C₂²×#124	C₂²	1	2	yes	complemented
80	C₂²×#123	C₂²	1	1	yes	characteristic
81	C₂²×#123	C₂²	1	2	yes	—
82	C₂²×#123	C₂²	1	2	yes	—
83	C₂²×#123	C₂²	1	2	yes	—
84	C₂²×#123	C₂²	1	1	yes	characteristic, complemented
85	C₂²×#123	C₂²	1	2	yes	complemented
86	C₂²×#123	C₂²	1	2	yes	complemented
87	C₂²×#123	C₂²	1	2	yes	complemented
88	C₂²×#123	C₂²	1	2	yes	complemented
89	C₂²×#123	C₂²	1	2	yes	complemented
90	C₂²×#123	C₂²	1	2	yes	complemented
91	C₂²×#123	C₂²	1	2	yes	complemented
92	C₂²×#123	C₂²	1	2	yes	complemented
93	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
94	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
95	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
96	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
97	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
98	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
99	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
100	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
101	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
102	C₂²×#121	C₂²	1	1	yes	characteristic
103	C₂²×#121	C₂²	1	1	yes	characteristic
104	C₂²×#121	C₂²	1	2	yes	—
105	C₂²×#121	C₂²	1	2	yes	—
106	C₂²×#121	C₂²	1	2	yes	—
107	C₂²×#121	C₂²	1	2	yes	—
108	C₂²×#121	C₂²	1	2	yes	—
109	C₂²×#121	C₂²	1	1	yes	characteristic
110	C₂²×#121	C₂²	1	2	yes	—
111	C₂²×#121	C₂²	1	2	yes	complemented
112	C₂²×#121	C₂²	1	2	yes	complemented
113	C₂²×#121	C₂²	1	2	yes	complemented
114	C₂²×#121	C₂²	1	2	yes	complemented
115	C₂²×#121	C₂²	1	2	yes	complemented
116	C₂²×#121	C₂²	1	2	yes	complemented
117	C₂²×#121	C₂²	1	2	yes	complemented
118	C₂²×#121	C₂²	1	1	yes	characteristic, complemented
119	C₂²×#120	C₂²	1	2	yes	—
120	C₂²×#120	C₂²	1	2	yes	—
121	C₂²×#120	C₂²	1	2	yes	—
122	C₂²×#120	C₂²	1	2	yes	—
123	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
124	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
125	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
126	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
127	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
128	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
129	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
130	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
131	C₂²×C₄×D₄	C₂²	1	2	yes	complemented
132	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
133	C₂²×C₄×D₄	C₂²	1	2	yes	complemented
134	C₂²×C₄×D₄	C₂²	1	2	yes	complemented
135	C₂²×C₄×D₄	C₂²	1	2	yes	complemented
136	C₂²×C₄×D₄	C₂²	1	2	yes	complemented
137	C₂²×C₄×D₄	C₂²	1	2	yes	complemented
138	C₂²×C₄×D₄	C₂²	1	2	yes	complemented
139	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
140	C₂²×#117	C₂²	1	1	yes	characteristic
141	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
142	C₂²×#117	C₂²	1	2	yes	complemented
143	C₂²×#117	C₂²	1	2	yes	complemented
144	C₂³×C₄⋊C₄	C₂²	1	2	yes	complemented
145	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
146	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
147	C₂³×C₄²	C₂²	1	1	yes	characteristic, complemented
148	C₂⁶	C₂³	1	2	yes	—
149	C₂²×#41	—	4	8	no	—
150	C₂²×#41	—	4	8	no	—
151	C₂²×#41	—	4	8	no	—
152	C₂²×#41	—	4	8	no	—
153	C₂²×#41	C₂³	1	24	yes	—
154	C₂²×#41	C₂³	1	24	yes	—
155	C₂²×#41	C₂³	1	24	yes	—
156	C₂²×#41	C₂³	1	24	yes	complemented
157	C₂³×Q₈	—	4	8	no	—
158	C₂³×Q₈	C₂³	1	1	yes	characteristic
159	C₂³×Q₈	C₂³	1	1	yes	characteristic
160	C₂³×Q₈	C₂³	1	1	yes	characteristic
161	C₂³×Q₈	C₂³	1	2	yes	—
162	C₂³×Q₈	C₂³	1	1	yes	characteristic
163	C₂³×Q₈	C₂³	1	24	yes	complemented
164	C₂³×D₄	—	4	8	no	—
165	C₂³×D₄	C₂³	1	1	yes	characteristic
166	C₂³×D₄	C₂³	1	1	yes	characteristic
167	C₂³×D₄	C₂³	1	1	yes	characteristic
168	C₂³×D₄	C₂³	1	2	yes	—
169	C₂³×D₄	C₂³	1	24	yes	—
170	C₂³×D₄	C₂³	1	2	yes	—
171	C₂³×D₄	C₂³	1	2	yes	—
172	C₂³×D₄	C₂³	1	2	yes	—
173	C₂³×D₄	C₂³	1	2	yes	—
174	C₂³×D₄	C₂³	1	1	yes	characteristic
175	C₂³×D₄	C₂³	1	1	yes	characteristic
176	C₂³×D₄	C₂³	1	2	yes	—
177	C₂³×D₄	C₂³	1	2	yes	—
178	C₂³×D₄	C₂³	1	2	yes	—
179	C₂³×D₄	C₂³	1	2	yes	—
180	C₂³×D₄	C₂³	1	2	yes	—
181	C₂³×D₄	C₂³	1	2	yes	—
182	C₂³×D₄	C₂³	1	2	yes	—
183	C₂³×D₄	C₂³	1	1	yes	characteristic
184	C₂⁴×C₄	C₂³	1	1	yes	characteristic
185	C₂⁴×C₄	C₂³	1	1	yes	characteristic
186	C₂⁴×C₄	C₂³	1	1	yes	characteristic
187	C₂⁴×C₄	C₂³	1	2	yes	—
188	C₂⁴×C₄	C₂³	1	2	yes	—
189	C₂⁴×C₄	C₂³	1	2	yes	—
190	C₂⁴×C₄	C₂³	1	2	yes	—
191	C₂⁴×C₄	C₂³	1	2	yes	—
192	C₂⁴×C₄	C₂³	1	1	yes	characteristic
193	C₂⁴×C₄	C₂³	1	1	yes	characteristic
194	C₂⁴×C₄	C₂³	1	2	yes	—
195	C₂⁴×C₄	C₂³	1	2	yes	—
196	C₂⁴×C₄	C₂³	1	2	yes	—
197	#562	C₂³	1	512	yes	complemented
198	#560	C₂³	1	512	yes	complemented
199	#559	C₂³	1	256	yes	complemented
200	#556	C₂³	1	256	yes	complemented
201	#553	C₂³	1	512	yes	complemented
202	#551	C₂³	1	512	yes	complemented
203	#550	C₂³	1	256	yes	complemented
204	#548	C₂³	1	256	yes	complemented
205	#548	C₂³	1	256	yes	complemented
206	#547	C₂³	1	256	yes	complemented
207	#546	C₂³	1	256	yes	complemented
208	#546	C₂³	1	256	yes	complemented
209	#541	C₂³	1	256	yes	complemented
210	#540	C₂³	1	256	yes	complemented
211	#540	C₂³	1	512	yes	complemented
212	#539	C₂³	1	512	yes	complemented
213	#538	C₂³	1	512	yes	complemented
214	#538	C₂³	1	512	yes	complemented
215	#536	C₂³	1	256	yes	complemented
216	#535	C₂³	1	256	yes	complemented
217	#532	C₂³	1	256	yes	complemented
218	C₂×C₄⋊Q₈	C₂³	1	24	yes	complemented
219	C₂×C₄⋊Q₈	C₂³	1	24	yes	complemented
220	C₂×#127	C₂³	1	24	yes	—
221	C₂×#127	C₂³	1	24	yes	—
222	C₂×#127	C₂³	1	48	yes	complemented
223	#529	C₂³	1	256	yes	complemented
224	#529	C₂³	1	256	yes	complemented
225	C₂×#126	C₂³	1	24	yes	—
226	C₂×#126	C₂³	1	48	yes	—
227	C₂×#126	C₂³	1	48	yes	—
228	C₂×#126	C₂³	1	48	yes	complemented
229	C₂×#126	C₂³	1	24	yes	complemented
230	C₂×#126	C₂³	1	48	yes	complemented
231	C₂×#126	C₂³	1	48	yes	complemented
232	C₂×#125	C₂³	1	24	yes	complemented
233	C₂×#125	C₂³	1	24	yes	complemented
234	C₂×#125	C₂³	1	48	yes	complemented
235	C₂×#125	C₂³	1	48	yes	complemented
236	C₂×#124	C₂³	1	24	yes	—
237	C₂×#124	C₂³	1	24	yes	—
238	C₂×#124	C₂³	1	24	yes	—
239	C₂×#124	C₂³	1	24	yes	—
240	C₂×#124	C₂³	1	24	yes	—
241	C₂×#124	C₂³	1	48	yes	—
242	C₂×#124	C₂³	1	24	yes	complemented
243	C₂×#124	C₂³	1	48	yes	complemented
244	C₂×#124	C₂³	1	48	yes	complemented
245	C₂×#123	C₂³	1	24	yes	—
246	C₂×#123	C₂³	1	48	yes	—
247	C₂×#123	C₂³	1	48	yes	—
248	C₂×#123	C₂³	1	48	yes	—
249	C₂×#123	C₂³	1	24	yes	complemented
250	C₂×#123	C₂³	1	48	yes	complemented
251	C₂×#123	C₂³	1	48	yes	complemented
252	C₂×#123	C₂³	1	48	yes	complemented
253	C₂×#123	C₂³	1	48	yes	complemented
254	C₂×#123	C₂³	1	48	yes	complemented
255	C₂×#123	C₂³	1	48	yes	complemented
256	C₂×#123	C₂³	1	48	yes	complemented
257	C₂×#123	C₂³	1	48	yes	complemented
258	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
259	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
260	C₂×C₂²⋊Q₈	C₂³	1	24	yes	complemented
261	C₂×C₂²⋊Q₈	C₂³	1	24	yes	complemented
262	C₂×C₂²⋊Q₈	C₂³	1	48	yes	complemented
263	C₂×C₂²⋊Q₈	C₂³	1	48	yes	complemented
264	C₂×C₂²⋊Q₈	C₂³	1	48	yes	complemented
265	C₂×C₂²⋊Q₈	C₂³	1	48	yes	complemented
266	C₂×C₂²⋊Q₈	C₂³	1	48	yes	complemented
267	C₂×#121	C₂³	1	24	yes	—
268	C₂×#121	C₂³	1	24	yes	—
269	C₂×#121	C₂³	1	48	yes	—
270	C₂×#121	C₂³	1	48	yes	—
271	C₂×#121	C₂³	1	48	yes	—
272	C₂×#121	C₂³	1	48	yes	—
273	C₂×#121	C₂³	1	24	yes	—
274	C₂×#121	C₂³	1	48	yes	—
275	C₂×#121	C₂³	1	48	yes	—
276	C₂×#121	C₂³	1	48	yes	complemented
277	C₂×#121	C₂³	1	48	yes	complemented
278	C₂×#121	C₂³	1	48	yes	complemented
279	C₂×#121	C₂³	1	48	yes	complemented
280	C₂×#121	C₂³	1	48	yes	complemented
281	C₂×#121	C₂³	1	24	yes	complemented
282	C₂×#121	C₂³	1	48	yes	complemented
283	C₂×#121	C₂³	1	48	yes	complemented
284	C₂×#120	C₂³	1	48	yes	—
285	C₂×#120	C₂³	1	48	yes	—
286	C₂×#120	C₂³	1	48	yes	—
287	C₂×#120	C₂³	1	48	yes	—
288	C₂×C₄×Q₈	C₂³	1	24	yes	complemented
289	C₂×C₄×Q₈	C₂³	1	24	yes	complemented
290	C₂×C₄×Q₈	C₂³	1	24	yes	complemented
291	C₂×C₄×Q₈	C₂³	1	24	yes	complemented
292	C₂×C₄×D₄	C₂³	1	24	yes	—
293	C₂×C₄×D₄	C₂³	1	24	yes	—
294	C₂×C₄×D₄	C₂³	1	24	yes	—
295	C₂×C₄×D₄	C₂³	1	24	yes	—
296	C₂×C₄×D₄	C₂³	1	48	yes	complemented
297	C₂×C₄×D₄	C₂³	1	24	yes	complemented
298	C₂×C₄×D₄	C₂³	1	48	yes	complemented
299	C₂×C₄×D₄	C₂³	1	48	yes	complemented
300	C₂×C₄×D₄	C₂³	1	48	yes	complemented
301	C₂×C₄×D₄	C₂³	1	48	yes	complemented
302	C₂×C₄×D₄	C₂³	1	48	yes	complemented
303	C₂×C₄×D₄	C₂³	1	24	yes	complemented
304	C₂×C₄×D₄	C₂³	1	48	yes	complemented
305	C₂×#117	C₂³	1	24	yes	—
306	C₂×#117	C₂³	1	24	yes	complemented
307	C₂×#117	C₂³	1	48	yes	complemented
308	C₂×#117	C₂³	1	48	yes	complemented
309	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
311	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
312	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
313	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
315	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
320	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
321	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
322	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
324	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
325	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
326	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
327	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
328	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
329	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
330	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
332	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
333	C₂²×C₄⋊C₄	C₂³	1	48	yes	complemented
334	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
337	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
338	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
339	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
340	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
341	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
342	C₂²×C₂²⋊C₄	C₂³	1	48	yes	—
343	C₂²×C₂²⋊C₄	C₂³	1	48	yes	—
344	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
347	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
348	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
349	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
350	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
351	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
352	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
353	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
354	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
355	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
356	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
357	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
358	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
359	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
360	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
361	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
362	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
363	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
364	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
365	C₂²×C₄²	C₂³	1	1	yes	characteristic
366	C₂²×C₄²	C₂³	1	1	yes	characteristic
367	C₂²×C₄²	C₂³	1	1	yes	characteristic
368	C₂²×C₄²	C₂³	1	1	yes	characteristic
369	C₂²×C₄²	C₂³	1	1	yes	characteristic
370	C₂²×C₄²	C₂³	1	2	yes	—
371	C₂²×C₄²	C₂³	1	1	yes	characteristic
372	C₂²×C₄²	C₂³	1	2	yes	—
373	C₂²×C₄²	C₂³	1	2	yes	—
374	C₂²×C₄²	C₂³	1	24	yes	complemented
375	C₂⁵	—	4	8	no	—
376	C₂⁵	—	4	8	no	—
377	C₂⁵	—	4	8	no	—
378	C₂⁵	C₂⁴	1	1	yes	characteristic
379	C₂⁵	C₂⁴	1	2	yes	—
380	C₂⁵	C₂⁴	1	2	yes	—
381	C₂⁵	C₂⁴	1	1	yes	characteristic
382	C₂⁵	C₂⁴	1	1	yes	characteristic
383	C₂⁵	C₂⁴	1	2	yes	—
384	C₂⁵	C₂⁴	1	24	yes	—
385	C₂×#41	—	4	96	no	—
386	C₂×#41	—	4	96	no	—
387	C₂×#41	—	4	96	no	—
388	C₂×#41	—	4	96	no	—
389	C₂×#41	C₂⁴	1	64	yes	—
390	C₂×#41	C₂⁴	1	64	yes	—
391	C₂×#41	C₂⁴	1	64	yes	—
392	C₂×#41	C₂⁴	1	64	yes	complemented
393	C₂²×Q₈	—	2	8	no	—
394	C₂²×Q₈	—	2	8	no	—
395	C₂²×Q₈	—	2	8	no	—
396	C₂²×Q₈	—	4	8	no	—
397	C₂²×Q₈	—	4	4	no	—
398	C₂²×Q₈	—	4	96	no	—
399	C₂²×Q₈	C₂⁴	1	12	yes	—
400	C₂²×Q₈	C₂⁴	1	12	yes	—
401	C₂²×Q₈	C₂⁴	1	12	yes	—
402	C₂²×Q₈	C₂⁴	1	12	yes	—
403	C₂²×Q₈	C₂⁴	1	24	yes	—
404	C₂²×Q₈	C₂⁴	1	64	yes	complemented
405	C₂²×D₄	—	2	8	no	—
406	C₂²×D₄	—	2	8	no	—
407	C₂²×D₄	—	2	8	no	—
408	C₂²×D₄	—	4	96	no	—
409	C₂²×D₄	—	4	8	no	—
410	C₂²×D₄	—	4	4	no	—
411	C₂²×D₄	—	4	8	no	—
412	C₂²×D₄	—	4	8	no	—
413	C₂²×D₄	—	4	8	no	—
414	C₂²×D₄	—	4	8	no	—
415	C₂²×D₄	—	4	8	no	—
416	C₂²×D₄	—	4	4	no	—
417	C₂²×D₄	—	4	8	no	—
418	C₂²×D₄	—	4	4	no	—
419	C₂²×D₄	—	4	8	no	—
420	C₂²×D₄	—	4	8	no	—
421	C₂²×D₄	—	4	8	no	—
422	C₂²×D₄	—	4	8	no	—
423	C₂²×D₄	—	4	8	no	—
424	C₂²×D₄	C₂⁴	1	12	yes	—
425	C₂²×D₄	C₂⁴	1	12	yes	—
426	C₂²×D₄	C₂⁴	1	12	yes	—
427	C₂²×D₄	C₂⁴	1	12	yes	—
428	C₂²×D₄	C₂⁴	1	12	yes	—
429	C₂²×D₄	C₂⁴	1	24	yes	—
430	C₂²×D₄	C₂⁴	1	24	yes	—
431	C₂²×D₄	C₂⁴	1	24	yes	—
432	C₂²×D₄	C₂⁴	1	24	yes	—
433	C₂²×D₄	C₂⁴	1	24	yes	—
434	C₂²×D₄	C₂⁴	1	24	yes	—
435	C₂²×D₄	C₂⁴	1	24	yes	—
436	C₂²×D₄	C₂⁴	1	12	yes	—
437	C₂²×D₄	C₂⁴	1	24	yes	—
438	C₂²×D₄	C₂⁴	1	24	yes	—
439	C₂²×D₄	C₂⁴	1	24	yes	—
440	C₂²×D₄	C₂⁴	1	24	yes	—
441	C₂²×D₄	C₂⁴	1	24	yes	—
442	C₂²×D₄	C₂⁴	1	64	yes	—
443	C₂³×C₄	—	2	8	no	—
444	C₂³×C₄	—	2	8	no	—
445	C₂³×C₄	—	2	8	no	—
446	C₂³×C₄	—	4	8	no	—
447	C₂³×C₄	—	4	4	no	—
448	C₂³×C₄	—	4	8	no	—
449	C₂³×C₄	—	4	8	no	—
450	C₂³×C₄	—	4	4	no	—
451	C₂³×C₄	—	4	8	no	—
452	C₂³×C₄	—	4	8	no	—
453	C₂³×C₄	—	4	8	no	—
454	C₂³×C₄	—	4	8	no	—
455	C₂³×C₄	—	4	8	no	—
456	C₂³×C₄	C₂⁴	1	12	yes	—
457	C₂³×C₄	C₂⁴	1	12	yes	—
458	C₂³×C₄	C₂⁴	1	12	yes	—
459	C₂³×C₄	C₂⁴	1	1	yes	characteristic
460	C₂³×C₄	C₂⁴	1	1	yes	characteristic
461	C₂³×C₄	C₂⁴	1	1	yes	characteristic
462	C₂³×C₄	C₂⁴	1	1	yes	characteristic
463	C₂³×C₄	C₂⁴	1	2	yes	—
464	C₂³×C₄	C₂⁴	1	1	yes	characteristic
465	C₂³×C₄	C₂⁴	1	2	yes	—
466	C₂³×C₄	C₂⁴	1	2	yes	—
467	C₂³×C₄	C₂⁴	1	1	yes	characteristic
468	C₂³×C₄	C₂⁴	1	2	yes	—
469	C₂³×C₄	C₂⁴	1	1	yes	characteristic
470	C₂³×C₄	C₂⁴	1	1	yes	characteristic
471	C₂³×C₄	C₂⁴	1	1	yes	characteristic
472	C₂³×C₄	C₂⁴	1	2	yes	—
473	C₂³×C₄	C₂⁴	1	1	yes	characteristic
474	C₂³×C₄	C₂⁴	1	1	yes	characteristic
475	C₂³×C₄	C₂⁴	1	24	yes	—
476	C₂³×C₄	C₂⁴	1	24	yes	—
477	C₂³×C₄	C₂⁴	1	24	yes	—
478	C₂³×C₄	C₂⁴	1	24	yes	—
479	C₂³×C₄	C₂⁴	1	24	yes	—
480	C₂³×C₄	C₂⁴	1	24	yes	—
481	C₂³×C₄	C₂⁴	1	24	yes	—
482	C₂³×C₄	C₂⁴	1	24	yes	—
483	C₂³×C₄	C₂⁴	1	12	yes	—
484	C₂³×C₄	C₂⁴	1	12	yes	—
485	C₂³×C₄	C₂⁴	1	1	yes	characteristic
486	C₄⋊Q₈	C₂⁴	1	64	yes	complemented
487	C₄⋊Q₈	C₂⁴	1	64	yes	complemented
488	#127	C₂⁴	1	64	yes	—
489	#127	C₂⁴	1	64	yes	—
490	#127	C₂⁴	1	128	yes	complemented
491	#126	C₂⁴	1	64	yes	—
492	#126	C₂⁴	1	128	yes	—
493	#126	C₂⁴	1	128	yes	—
494	#126	C₂⁴	1	128	yes	complemented
495	#126	C₂⁴	1	64	yes	complemented
496	#126	C₂⁴	1	128	yes	complemented
497	#126	C₂⁴	1	128	yes	complemented
498	#125	C₂⁴	1	64	yes	complemented
499	#125	C₂⁴	1	64	yes	complemented
500	#125	C₂⁴	1	128	yes	complemented
501	#125	C₂⁴	1	128	yes	complemented
502	#124	C₂⁴	1	64	yes	—
503	#124	C₂⁴	1	64	yes	—
504	#124	C₂⁴	1	64	yes	—
505	#124	C₂⁴	1	64	yes	—
506	#124	C₂⁴	1	64	yes	—
507	#124	C₂⁴	1	128	yes	—
508	#124	C₂⁴	1	64	yes	complemented
509	#124	C₂⁴	1	128	yes	complemented
510	#124	C₂⁴	1	128	yes	complemented
511	#123	C₂⁴	1	64	yes	—
512	#123	C₂⁴	1	128	yes	—
513	#123	C₂⁴	1	128	yes	—
514	#123	C₂⁴	1	128	yes	—
515	#123	C₂⁴	1	64	yes	complemented
516	#123	C₂⁴	1	128	yes	complemented
517	#123	C₂⁴	1	128	yes	complemented
518	#123	C₂⁴	1	128	yes	complemented
519	#123	C₂⁴	1	128	yes	complemented
520	#123	C₂⁴	1	128	yes	complemented
521	#123	C₂⁴	1	128	yes	complemented
522	#123	C₂⁴	1	128	yes	complemented
523	#123	C₂⁴	1	128	yes	complemented
524	C₂²⋊Q₈	C₂⁴	1	64	yes	—
525	C₂²⋊Q₈	C₂⁴	1	64	yes	—
526	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
527	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
528	C₂²⋊Q₈	C₂⁴	1	128	yes	complemented
529	C₂²⋊Q₈	C₂⁴	1	128	yes	complemented
530	C₂²⋊Q₈	C₂⁴	1	128	yes	complemented
531	C₂²⋊Q₈	C₂⁴	1	128	yes	complemented
532	C₂²⋊Q₈	C₂⁴	1	128	yes	complemented
533	#121	C₂⁴	1	64	yes	—
534	#121	C₂⁴	1	64	yes	—
535	#121	C₂⁴	1	128	yes	—
536	#121	C₂⁴	1	128	yes	—
537	#121	C₂⁴	1	128	yes	—
538	#121	C₂⁴	1	128	yes	—
539	#121	C₂⁴	1	64	yes	—
540	#121	C₂⁴	1	128	yes	—
541	#121	C₂⁴	1	128	yes	—
542	#121	C₂⁴	1	128	yes	complemented
543	#121	C₂⁴	1	128	yes	complemented
544	#121	C₂⁴	1	128	yes	complemented
545	#121	C₂⁴	1	128	yes	complemented
546	#121	C₂⁴	1	128	yes	complemented
547	#121	C₂⁴	1	64	yes	complemented
548	#121	C₂⁴	1	128	yes	complemented
549	#121	C₂⁴	1	128	yes	complemented
550	#120	C₂⁴	1	128	yes	—
551	#120	C₂⁴	1	128	yes	—
552	#120	C₂⁴	1	128	yes	—
553	#120	C₂⁴	1	128	yes	—
554	C₄×Q₈	C₂⁴	1	64	yes	complemented
555	C₄×Q₈	C₂⁴	1	64	yes	complemented
556	C₄×Q₈	C₂⁴	1	64	yes	complemented
557	C₄×Q₈	C₂⁴	1	64	yes	complemented
558	C₄×D₄	C₂⁴	1	64	yes	—
559	C₄×D₄	C₂⁴	1	64	yes	—
560	C₄×D₄	C₂⁴	1	64	yes	—
561	C₄×D₄	C₂⁴	1	64	yes	—
562	C₄×D₄	C₂⁴	1	128	yes	complemented
563	C₄×D₄	C₂⁴	1	64	yes	complemented
564	C₄×D₄	C₂⁴	1	128	yes	complemented
565	C₄×D₄	C₂⁴	1	128	yes	complemented
566	C₄×D₄	C₂⁴	1	128	yes	complemented
567	C₄×D₄	C₂⁴	1	128	yes	complemented
568	C₄×D₄	C₂⁴	1	128	yes	complemented
569	C₄×D₄	C₂⁴	1	64	yes	complemented
570	C₄×D₄	C₂⁴	1	128	yes	complemented
571	#117	C₂⁴	1	64	yes	—
572	#117	C₂⁴	1	64	yes	complemented
573	#117	C₂⁴	1	128	yes	complemented
574	#117	C₂⁴	1	128	yes	complemented
575	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
576	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
577	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
578	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
579	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
580	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
581	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
582	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
583	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
584	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
585	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
586	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
587	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
588	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
589	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
590	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
591	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
592	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
593	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
594	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
595	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
596	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
597	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
598	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
599	C₂×C₄⋊C₄	C₂⁴	1	128	yes	complemented
600	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
601	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
602	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
603	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
604	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
605	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
606	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
607	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
608	C₂×C₂²⋊C₄	C₂⁴	1	128	yes	—
609	C₂×C₂²⋊C₄	C₂⁴	1	128	yes	—
610	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
611	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
612	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
613	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
614	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
615	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
616	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
617	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
618	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
619	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
620	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
621	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
622	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
623	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
624	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
625	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
626	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
627	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
628	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
629	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
630	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
631	C₂×C₄²	C₂⁴	1	12	yes	—
632	C₂×C₄²	C₂⁴	1	12	yes	—
633	C₂×C₄²	C₂⁴	1	24	yes	—
634	C₂×C₄²	C₂⁴	1	12	yes	—
635	C₂×C₄²	C₂⁴	1	12	yes	—
636	C₂×C₄²	C₂⁴	1	24	yes	—
637	C₂×C₄²	C₂⁴	1	12	yes	—
638	C₂×C₄²	C₂⁴	1	24	yes	—
639	C₂×C₄²	C₂⁴	1	12	yes	—
640	C₂×C₄²	C₂⁴	1	64	yes	complemented
641	C₂⁴	—	2	4	no	—
642	C₂⁴	—	2	4	no	—
643	C₂⁴	—	2	4	no	—
644	C₂⁴	—	2	8	no	—
645	C₂⁴	—	2	8	no	—
646	C₂⁴	—	2	8	no	—
647	C₂⁴	—	2	4	no	—
648	C₂⁴	—	2	4	no	—
649	C₂⁴	—	2	8	no	—
650	C₂⁴	—	2	8	no	—
651	C₂⁴	—	2	8	no	—
652	C₂⁴	—	2	4	no	—
653	C₂⁴	—	2	4	no	—
654	C₂⁴	—	2	8	no	—
655	C₂⁴	—	2	8	no	—
656	C₂⁴	—	2	8	no	—
657	C₂⁴	—	2	4	no	—
658	C₂⁴	—	2	4	no	—
659	C₂⁴	—	4	48	no	—
660	C₂⁴	—	4	48	no	—
661	C₂⁴	—	4	48	no	—
662	C₂⁴	—	8	64	no	—
663	C₂⁴	C₂⁵	1	6	yes	—
664	C₂⁴	C₂⁵	1	12	yes	—
665	C₂⁴	C₂⁵	1	12	yes	—
666	C₂⁴	C₂⁵	1	6	yes	—
667	C₂⁴	C₂⁵	1	6	yes	—
668	C₂⁴	C₂⁵	1	12	yes	—
669	C₂⁴	C₂⁵	1	32	yes	—
670	C₂⁴	C₂⁵	1	1	yes	characteristic
671	#41	—	4	128	no	—
672	#41	—	4	128	no	—
673	#41	—	4	128	no	—
674	#41	—	4	128	no	—
675	C₂×Q₈	—	2	48	no	—
676	C₂×Q₈	—	2	48	no	—
677	C₂×Q₈	—	2	48	no	—
678	C₂×Q₈	—	4	48	no	—
679	C₂×Q₈	—	4	24	no	—
680	C₂×Q₈	—	4	128	no	—
681	C₂×Q₈	C₂⁵	1	16	yes	—
682	C₂×Q₈	C₂⁵	1	16	yes	—
683	C₂×Q₈	C₂⁵	1	16	yes	—
684	C₂×Q₈	C₂⁵	1	16	yes	—
685	C₂×Q₈	C₂⁵	1	32	yes	—
686	C₂×D₄	—	2	48	no	—
687	C₂×D₄	—	2	48	no	—
688	C₂×D₄	—	2	48	no	—
689	C₂×D₄	—	4	128	no	—
690	C₂×D₄	—	4	48	no	—
691	C₂×D₄	—	4	24	no	—
692	C₂×D₄	—	4	48	no	—
693	C₂×D₄	—	4	48	no	—
694	C₂×D₄	—	4	48	no	—
695	C₂×D₄	—	4	48	no	—
696	C₂×D₄	—	4	48	no	—
697	C₂×D₄	—	4	24	no	—
698	C₂×D₄	—	4	48	no	—
699	C₂×D₄	—	4	24	no	—
700	C₂×D₄	—	4	48	no	—
701	C₂×D₄	—	4	48	no	—
702	C₂×D₄	—	4	48	no	—
703	C₂×D₄	—	4	48	no	—
704	C₂×D₄	—	4	48	no	—
705	C₂×D₄	C₂⁵	1	16	yes	—
706	C₂×D₄	C₂⁵	1	16	yes	—
707	C₂×D₄	C₂⁵	1	16	yes	—
708	C₂×D₄	C₂⁵	1	16	yes	—
709	C₂×D₄	C₂⁵	1	16	yes	—
710	C₂×D₄	C₂⁵	1	32	yes	—
711	C₂×D₄	C₂⁵	1	32	yes	—
712	C₂×D₄	C₂⁵	1	32	yes	—
713	C₂×D₄	C₂⁵	1	32	yes	—
714	C₂×D₄	C₂⁵	1	32	yes	—
715	C₂×D₄	C₂⁵	1	32	yes	—
716	C₂×D₄	C₂⁵	1	32	yes	—
717	C₂×D₄	C₂⁵	1	16	yes	—
718	C₂×D₄	C₂⁵	1	32	yes	—
719	C₂×D₄	C₂⁵	1	32	yes	—
720	C₂×D₄	C₂⁵	1	32	yes	—
721	C₂×D₄	C₂⁵	1	32	yes	—
722	C₂×D₄	C₂⁵	1	32	yes	—
723	C₂²×C₄	—	2	4	no	—
724	C₂²×C₄	—	2	4	no	—
725	C₂²×C₄	—	2	4	no	—
726	C₂²×C₄	—	2	8	no	—
727	C₂²×C₄	—	2	8	no	—
728	C₂²×C₄	—	2	8	no	—
729	C₂²×C₄	—	2	4	no	—
730	C₂²×C₄	—	2	8	no	—
731	C₂²×C₄	—	2	4	no	—
732	C₂²×C₄	—	2	4	no	—
733	C₂²×C₄	—	2	4	no	—
734	C₂²×C₄	—	2	8	no	—
735	C₂²×C₄	—	2	4	no	—
736	C₂²×C₄	—	2	4	no	—
737	C₂²×C₄	—	2	4	no	—
738	C₂²×C₄	—	2	4	no	—
739	C₂²×C₄	—	2	48	no	—
740	C₂²×C₄	—	2	48	no	—
741	C₂²×C₄	—	2	48	no	—
742	C₂²×C₄	—	4	48	no	—
743	C₂²×C₄	—	4	24	no	—
744	C₂²×C₄	—	4	48	no	—
745	C₂²×C₄	—	4	48	no	—
746	C₂²×C₄	—	4	24	no	—
747	C₂²×C₄	—	4	48	no	—
748	C₂²×C₄	—	4	48	no	—
749	C₂²×C₄	—	4	48	no	—
750	C₂²×C₄	—	4	48	no	—
751	C₂²×C₄	—	4	48	no	—
752	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
753	C₂²×C₄	C₂⁵	1	6	yes	—
754	C₂²×C₄	C₂⁵	1	6	yes	—
755	C₂²×C₄	C₂⁵	1	6	yes	—
756	C₂²×C₄	C₂⁵	1	6	yes	—
757	C₂²×C₄	C₂⁵	1	6	yes	—
758	C₂²×C₄	C₂⁵	1	6	yes	—
759	C₂²×C₄	C₂⁵	1	12	yes	—
760	C₂²×C₄	C₂⁵	1	6	yes	—
761	C₂²×C₄	C₂⁵	1	6	yes	—
762	C₂²×C₄	C₂⁵	1	6	yes	—
763	C₂²×C₄	C₂⁵	1	12	yes	—
764	C₂²×C₄	C₂⁵	1	12	yes	—
765	C₂²×C₄	C₂⁵	1	12	yes	—
766	C₂²×C₄	C₂⁵	1	12	yes	—
767	C₂²×C₄	C₂⁵	1	16	yes	—
768	C₂²×C₄	C₂⁵	1	6	yes	—
769	C₂²×C₄	C₂⁵	1	6	yes	—
770	C₂²×C₄	C₂⁵	1	16	yes	—
771	C₂²×C₄	C₂⁵	1	16	yes	—
772	C₂²×C₄	C₂⁵	1	16	yes	—
773	C₂²×C₄	C₂⁵	1	16	yes	—
774	C₂²×C₄	C₂⁵	1	32	yes	—
775	C₂²×C₄	C₂⁵	1	32	yes	—
776	C₂²×C₄	C₂⁵	1	32	yes	—
777	C₂²×C₄	C₂⁵	1	32	yes	—
778	C₂²×C₄	C₂⁵	1	32	yes	—
779	C₂²×C₄	C₂⁵	1	32	yes	—
780	C₂²×C₄	C₂⁵	1	32	yes	—
781	C₂²×C₄	C₂⁵	1	32	yes	—
782	C₂²×C₄	C₂⁵	1	6	yes	—
783	C₄⋊C₄	C₂⁵	1	16	yes	—
784	C₄⋊C₄	C₂⁵	1	32	yes	—
785	C₄⋊C₄	C₂⁵	1	32	yes	—
786	C₄⋊C₄	C₂⁵	1	32	yes	—
787	C₄⋊C₄	C₂⁵	1	16	yes	—
788	C₄⋊C₄	C₂⁵	1	16	yes	—
789	C₄⋊C₄	C₂⁵	1	16	yes	—
790	C₄⋊C₄	C₂⁵	1	32	yes	—
791	C₄⋊C₄	C₂⁵	1	16	yes	—
792	C₄⋊C₄	C₂⁵	1	16	yes	—
793	C₄⋊C₄	C₂⁵	1	32	yes	—
794	C₄⋊C₄	C₂⁵	1	16	yes	—
795	C₄⋊C₄	C₂⁵	1	16	yes	—
796	C₄⋊C₄	C₂⁵	1	16	yes	—
797	C₄⋊C₄	C₂⁵	1	16	yes	—
798	C₄⋊C₄	C₂⁵	1	16	yes	—
799	C₄⋊C₄	C₂⁵	1	32	yes	—
800	C₄⋊C₄	C₂⁵	1	32	yes	—
801	C₄⋊C₄	C₂⁵	1	32	yes	—
802	C₄⋊C₄	C₂⁵	1	32	yes	—
803	C₄⋊C₄	C₂⁵	1	32	yes	—
804	C₄⋊C₄	C₂⁵	1	16	yes	—
805	C₄⋊C₄	C₂⁵	1	32	yes	—
806	C₄⋊C₄	C₂⁵	1	32	yes	—
807	C₂²⋊C₄	C₂⁵	1	16	yes	—
808	C₂²⋊C₄	C₂⁵	1	16	yes	—
809	C₂²⋊C₄	C₂⁵	1	32	yes	—
810	C₂²⋊C₄	C₂⁵	1	32	yes	—
811	C₂²⋊C₄	C₂⁵	1	32	yes	—
812	C₂²⋊C₄	C₂⁵	1	32	yes	—
813	C₂²⋊C₄	C₂⁵	1	32	yes	—
814	C₂²⋊C₄	C₂⁵	1	32	yes	—
815	C₂²⋊C₄	C₂⁵	1	16	yes	—
816	C₂²⋊C₄	C₂⁵	1	16	yes	—
817	C₂²⋊C₄	C₂⁵	1	32	yes	—
818	C₂²⋊C₄	C₂⁵	1	32	yes	—
819	C₂²⋊C₄	C₂⁵	1	16	yes	—
820	C₂²⋊C₄	C₂⁵	1	16	yes	—
821	C₂²⋊C₄	C₂⁵	1	16	yes	—
822	C₂²⋊C₄	C₂⁵	1	32	yes	—
823	C₂²⋊C₄	C₂⁵	1	32	yes	—
824	C₂²⋊C₄	C₂⁵	1	16	yes	—
825	C₂²⋊C₄	C₂⁵	1	16	yes	—
826	C₂²⋊C₄	C₂⁵	1	32	yes	—
827	C₂²⋊C₄	C₂⁵	1	32	yes	—
828	C₂²⋊C₄	C₂⁵	1	32	yes	—
829	C₂²⋊C₄	C₂⁵	1	32	yes	—
830	C₂²⋊C₄	C₂⁵	1	32	yes	—
831	C₂²⋊C₄	C₂⁵	1	32	yes	—
832	C₂²⋊C₄	C₂⁵	1	32	yes	—
833	C₂²⋊C₄	C₂⁵	1	16	yes	—
834	C₂²⋊C₄	C₂⁵	1	32	yes	—
835	C₂²⋊C₄	C₂⁵	1	32	yes	—
836	C₄²	C₂⁵	1	16	yes	—
837	C₄²	C₂⁵	1	16	yes	—
838	C₄²	C₂⁵	1	16	yes	—
839	C₄²	C₂⁵	1	16	yes	—
840	C₄²	C₂⁵	1	16	yes	—
841	C₄²	C₂⁵	1	32	yes	—
842	C₄²	C₂⁵	1	16	yes	—
843	C₄²	C₂⁵	1	32	yes	—
844	C₄²	C₂⁵	1	32	yes	—
845	C₂³	—	2	12	no	—
846	C₂³	—	2	12	no	—
847	C₂³	—	2	12	no	—
848	C₂³	—	2	24	no	—
849	C₂³	—	2	24	no	—
850	C₂³	—	2	24	no	—
851	C₂³	—	2	12	no	—
852	C₂³	—	2	12	no	—
853	C₂³	—	2	24	no	—
854	C₂³	—	2	24	no	—
855	C₂³	—	2	24	no	—
856	C₂³	—	2	12	no	—
857	C₂³	—	2	12	no	—
858	C₂³	—	2	24	no	—
859	C₂³	—	2	24	no	—
860	C₂³	—	2	24	no	—
861	C₂³	—	2	12	no	—
862	C₂³	—	2	12	no	—
863	C₂³	—	4	32	no	—
864	C₂³	—	4	32	no	—
865	C₂³	—	4	32	no	—
866	C₂³	—	4	16	no	—
867	C₂³	—	4	16	no	—
868	C₂³	—	4	32	no	—
869	C₂³	—	4	32	no	—
870	C₂³	—	4	32	no	—
871	C₂³	—	4	16	no	—
872	C₂³	—	8	192	no	—
873	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
874	C₂³	#585	1	4	yes	—
875	C₂³	#585	1	4	yes	—
876	C₂³	C₂⁶	1	4	yes	—
877	C₂³	C₂⁶	1	8	yes	—
878	C₂³	C₂⁶	1	8	yes	—
879	C₂³	C₂⁶	1	4	yes	—
880	C₂³	C₂⁶	1	4	yes	—
881	C₂³	C₂⁶	1	8	yes	—
882	C₂³	C₂⁶	1	3	yes	—
883	Q₈	—	2	32	no	—
884	Q₈	—	2	32	no	—
885	Q₈	—	2	32	no	—
886	Q₈	—	4	32	no	—
887	Q₈	—	4	16	no	—
888	D₄	—	2	32	no	—
889	D₄	—	2	32	no	—
890	D₄	—	2	32	no	—
891	D₄	—	4	32	no	—
892	D₄	—	4	16	no	—
893	D₄	—	4	32	no	—
894	D₄	—	4	32	no	—
895	D₄	—	4	32	no	—
896	D₄	—	4	32	no	—
897	D₄	—	4	32	no	—
898	D₄	—	4	16	no	—
899	D₄	—	4	32	no	—
900	D₄	—	4	16	no	—
901	D₄	—	4	32	no	—
902	D₄	—	4	32	no	—
903	D₄	—	4	32	no	—
904	D₄	—	4	32	no	—
905	D₄	—	4	32	no	—
906	C₂×C₄	—	2	12	no	—
907	C₂×C₄	—	2	12	no	—
908	C₂×C₄	—	2	12	no	—
909	C₂×C₄	—	2	24	no	—
910	C₂×C₄	—	2	24	no	—
911	C₂×C₄	—	2	24	no	—
912	C₂×C₄	—	2	12	no	—
913	C₂×C₄	—	2	24	no	—
914	C₂×C₄	—	2	12	no	—
915	C₂×C₄	—	2	12	no	—
916	C₂×C₄	—	2	12	no	—
917	C₂×C₄	—	2	24	no	—
918	C₂×C₄	—	2	12	no	—
919	C₂×C₄	—	2	12	no	—
920	C₂×C₄	—	2	12	no	—
921	C₂×C₄	—	2	12	no	—
922	C₂×C₄	—	2	32	no	—
923	C₂×C₄	—	2	32	no	—
924	C₂×C₄	—	2	32	no	—
925	C₂×C₄	—	4	32	no	—
926	C₂×C₄	—	4	16	no	—
927	C₂×C₄	—	4	32	no	—
928	C₂×C₄	—	4	32	no	—
929	C₂×C₄	—	4	16	no	—
930	C₂×C₄	—	4	32	no	—
931	C₂×C₄	—	4	32	no	—
932	C₂×C₄	—	4	32	no	—
933	C₂×C₄	—	4	32	no	—
934	C₂×C₄	—	4	32	no	—
935	C₂×C₄	C₂×H(5,𝔽₂)	1	24	yes	—
936	C₂×C₄	C₂⁶	1	4	yes	—
937	C₂×C₄	C₂⁶	1	4	yes	—
938	C₂×C₄	C₂⁶	1	4	yes	—
939	C₂×C₄	C₂⁶	1	4	yes	—
940	C₂×C₄	C₂⁶	1	4	yes	—
941	C₂×C₄	C₂⁶	1	4	yes	—
942	C₂×C₄	C₂⁶	1	8	yes	—
943	C₂×C₄	C₂⁶	1	4	yes	—
944	C₂×C₄	C₂⁶	1	4	yes	—
945	C₂×C₄	C₂⁶	1	4	yes	—
946	C₂×C₄	C₂⁶	1	8	yes	—
947	C₂×C₄	C₂⁶	1	8	yes	—
948	C₂×C₄	C₂⁶	1	8	yes	—
949	C₂×C₄	C₂⁶	1	8	yes	—
950	C₂×C₄	C₂⁶	1	4	yes	—
951	C₂×C₄	C₂⁶	1	4	yes	—
952	C₂×C₄	C₂⁶	1	4	yes	—
953	C₂²	—	2	4	no	—
954	C₂²	—	2	4	no	—
955	C₂²	—	2	4	no	—
956	C₂²	—	2	8	no	—
957	C₂²	—	2	8	no	—
958	C₂²	—	2	8	no	—
959	C₂²	—	2	4	no	—
960	C₂²	—	2	4	no	—
961	C₂²	—	2	8	no	—
962	C₂²	—	2	8	no	—
963	C₂²	—	2	8	no	—
964	C₂²	—	2	4	no	—
965	C₂²	—	2	4	no	—
966	C₂²	—	2	8	no	—
967	C₂²	—	2	8	no	—
968	C₂²	—	2	8	no	—
969	C₂²	—	2	4	no	—
970	C₂²	—	2	4	no	—
971	C₂²	—	4	24	no	—
972	C₂²	—	4	24	no	—
973	C₂²	—	4	48	no	—
974	C₂²	—	4	48	no	—
975	C₂²	—	4	48	no	—
976	C₂²	—	4	24	no	—
977	C₂²	—	8	64	no	—
978	C₂²	#3562	1	16	yes	direct product factor
979	C₂²	C₂²×H(5,𝔽₂)	1	6	yes	—
980	C₂²	C₂×#585	1	6	yes	—
981	C₂²	C₂×#585	1	6	yes	—
982	C₂²	C₂⁷	1	1	yes	characteristic
983	C₄	—	2	4	no	—
984	C₄	—	2	4	no	—
985	C₄	—	2	4	no	—
986	C₄	—	2	8	no	—
987	C₄	—	2	8	no	—
988	C₄	—	2	8	no	—
989	C₄	—	2	4	no	—
990	C₄	—	2	8	no	—
991	C₄	—	2	4	no	—
992	C₄	—	2	4	no	—
993	C₄	—	2	4	no	—
994	C₄	—	2	8	no	—
995	C₄	—	2	4	no	—
996	C₄	—	2	4	no	—
997	C₄	—	2	4	no	—
998	C₄	—	2	4	no	—
999	C₄	C₂²×H(5,𝔽₂)	1	8	yes	—
1000	C₂	—	4	4	no	—
1001	C₂	—	4	4	no	—
1002	C₂	—	4	8	no	—
1003	C₂	—	4	8	no	—
1004	C₂	—	4	8	no	—
1005	C₂	—	4	4	no	—
1006	C₂	C₂×#3562	1	12	yes	direct product factor
1007	C₂	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1008	C₂	C₂²×#585	1	1	yes	characteristic
1009	C₂	C₂²×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁷
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#3562	C₂	direct (N × H)
2. C₂²×#559	C₂	semidirect
3. C₂²×#556	C₂	semidirect
4. C₂²×#553	C₂	semidirect
5. C₂²×#551	C₂	semidirect
6. C₂²×#550	C₂	semidirect
7. C₂²×#547	C₂	semidirect
8. C₂²×#548	C₂	semidirect
9. C₂²×#548	C₂	semidirect
10. C₂²×#546	C₂	semidirect
11. C₂²×#546	C₂	semidirect
12. C₂²×#562	C₂	semidirect
13. C₂²×#560	C₂	semidirect
14. C₂²×#541	C₂	semidirect
15. C₂²×#536	C₂	semidirect
16. C₂²×#540	C₂	semidirect
17. C₂²×#540	C₂	semidirect
18. C₂²×#535	C₂	semidirect
19. C₂²×#539	C₂	semidirect
20. C₂²×#538	C₂	semidirect
21. C₂²×#538	C₂	semidirect
22. C₂²×#532	C₂	semidirect
23. C₂²×#529	C₂	semidirect
24. C₂²×#529	C₂	semidirect
28. C₂³×#41	C₂²	semidirect
29. C₂⁴×Q₈	C₂²	semidirect
31. #3562	C₂²	direct (N × H)
32. C₂×#562	C₂²	semidirect
33. C₂×#560	C₂²	semidirect
34. C₂×#559	C₂²	semidirect
35. C₂×#556	C₂²	semidirect
36. C₂×#553	C₂²	semidirect
37. C₂×#551	C₂²	semidirect
38. C₂×#550	C₂²	semidirect
39. C₂×#548	C₂²	semidirect
40. C₂×#548	C₂²	semidirect
41. C₂×#547	C₂²	semidirect
42. C₂×#546	C₂²	semidirect
43. C₂×#546	C₂²	semidirect
44. C₂×#541	C₂²	semidirect
45. C₂×#540	C₂²	semidirect
46. C₂×#540	C₂²	semidirect
47. C₂×#539	C₂²	semidirect
48. C₂×#538	C₂²	semidirect
49. C₂×#538	C₂²	semidirect
50. C₂×#536	C₂²	semidirect
51. C₂×#535	C₂²	semidirect
52. C₂×#532	C₂²	semidirect
53. C₂²×C₄⋊Q₈	C₂²	semidirect
54. C₂²×C₄⋊Q₈	C₂²	semidirect
57. C₂²×#127	C₂²	semidirect
58. C₂×#529	C₂²	semidirect
59. C₂×#529	C₂²	semidirect
63. C₂²×#126	C₂²	semidirect
64. C₂²×#126	C₂²	semidirect
65. C₂²×#126	C₂²	semidirect
66. C₂²×#126	C₂²	semidirect
67. C₂²×#125	C₂²	semidirect
68. C₂²×#125	C₂²	semidirect
69. C₂²×#125	C₂²	semidirect
70. C₂²×#125	C₂²	semidirect
77. C₂²×#124	C₂²	semidirect
78. C₂²×#124	C₂²	semidirect
79. C₂²×#124	C₂²	semidirect
84. C₂²×#123	C₂²	semidirect
85. C₂²×#123	C₂²	semidirect
86. C₂²×#123	C₂²	semidirect
87. C₂²×#123	C₂²	semidirect
88. C₂²×#123	C₂²	semidirect
89. C₂²×#123	C₂²	semidirect
90. C₂²×#123	C₂²	semidirect
91. C₂²×#123	C₂²	semidirect
92. C₂²×#123	C₂²	semidirect
95. C₂²×C₂²⋊Q₈	C₂²	semidirect
96. C₂²×C₂²⋊Q₈	C₂²	semidirect
97. C₂²×C₂²⋊Q₈	C₂²	semidirect
98. C₂²×C₂²⋊Q₈	C₂²	semidirect
99. C₂²×C₂²⋊Q₈	C₂²	semidirect
100. C₂²×C₂²⋊Q₈	C₂²	semidirect
101. C₂²×C₂²⋊Q₈	C₂²	semidirect
111. C₂²×#121	C₂²	semidirect
112. C₂²×#121	C₂²	semidirect
113. C₂²×#121	C₂²	semidirect
114. C₂²×#121	C₂²	semidirect
115. C₂²×#121	C₂²	semidirect
116. C₂²×#121	C₂²	semidirect
117. C₂²×#121	C₂²	semidirect
118. C₂²×#121	C₂²	semidirect
123. C₂²×C₄×Q₈	C₂²	semidirect
124. C₂²×C₄×Q₈	C₂²	semidirect
125. C₂²×C₄×Q₈	C₂²	semidirect
126. C₂²×C₄×Q₈	C₂²	semidirect
131. C₂²×C₄×D₄	C₂²	semidirect
132. C₂²×C₄×D₄	C₂²	semidirect
133. C₂²×C₄×D₄	C₂²	semidirect
134. C₂²×C₄×D₄	C₂²	semidirect
135. C₂²×C₄×D₄	C₂²	semidirect
136. C₂²×C₄×D₄	C₂²	semidirect
137. C₂²×C₄×D₄	C₂²	semidirect
138. C₂²×C₄×D₄	C₂²	semidirect
139. C₂²×C₄×D₄	C₂²	semidirect
141. C₂²×#117	C₂²	semidirect
142. C₂²×#117	C₂²	semidirect
143. C₂²×#117	C₂²	semidirect
144. C₂³×C₄⋊C₄	C₂²	semidirect
147. C₂³×C₄²	C₂²	semidirect
156. C₂²×#41	C₂³	semidirect
163. C₂³×Q₈	C₂³	semidirect
197. #562	C₂³	semidirect
198. #560	C₂³	semidirect
199. #559	C₂³	semidirect
200. #556	C₂³	semidirect
201. #553	C₂³	semidirect
202. #551	C₂³	semidirect
203. #550	C₂³	semidirect
204. #548	C₂³	semidirect
205. #548	C₂³	semidirect
206. #547	C₂³	semidirect
207. #546	C₂³	semidirect
208. #546	C₂³	semidirect
209. #541	C₂³	semidirect
210. #540	C₂³	semidirect
211. #540	C₂³	semidirect
212. #539	C₂³	semidirect
213. #538	C₂³	semidirect
214. #538	C₂³	semidirect
215. #536	C₂³	semidirect
216. #535	C₂³	semidirect
217. #532	C₂³	semidirect
218. C₂×C₄⋊Q₈	C₂³	semidirect
219. C₂×C₄⋊Q₈	C₂³	semidirect
222. C₂×#127	C₂³	semidirect
223. #529	C₂³	semidirect
224. #529	C₂³	semidirect
228. C₂×#126	C₂³	semidirect
229. C₂×#126	C₂³	semidirect
230. C₂×#126	C₂³	semidirect
231. C₂×#126	C₂³	semidirect
232. C₂×#125	C₂³	semidirect
233. C₂×#125	C₂³	semidirect
234. C₂×#125	C₂³	semidirect
235. C₂×#125	C₂³	semidirect
242. C₂×#124	C₂³	semidirect
243. C₂×#124	C₂³	semidirect
244. C₂×#124	C₂³	semidirect
249. C₂×#123	C₂³	semidirect
250. C₂×#123	C₂³	semidirect
251. C₂×#123	C₂³	semidirect
252. C₂×#123	C₂³	semidirect
253. C₂×#123	C₂³	semidirect
254. C₂×#123	C₂³	semidirect
255. C₂×#123	C₂³	semidirect
256. C₂×#123	C₂³	semidirect
257. C₂×#123	C₂³	semidirect
260. C₂×C₂²⋊Q₈	C₂³	semidirect
261. C₂×C₂²⋊Q₈	C₂³	semidirect
262. C₂×C₂²⋊Q₈	C₂³	semidirect
263. C₂×C₂²⋊Q₈	C₂³	semidirect
264. C₂×C₂²⋊Q₈	C₂³	semidirect
265. C₂×C₂²⋊Q₈	C₂³	semidirect
266. C₂×C₂²⋊Q₈	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
282. C₂×#121	C₂³	semidirect
283. C₂×#121	C₂³	semidirect
288. C₂×C₄×Q₈	C₂³	semidirect
289. C₂×C₄×Q₈	C₂³	semidirect
290. C₂×C₄×Q₈	C₂³	semidirect
291. C₂×C₄×Q₈	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×C₄×D₄	C₂³	semidirect
303. C₂×C₄×D₄	C₂³	semidirect
304. C₂×C₄×D₄	C₂³	semidirect
306. C₂×#117	C₂³	semidirect
307. C₂×#117	C₂³	semidirect
308. C₂×#117	C₂³	semidirect
333. C₂²×C₄⋊C₄	C₂³	semidirect
374. C₂²×C₄²	C₂³	semidirect
392. C₂×#41	C₂⁴	semidirect
404. C₂²×Q₈	C₂⁴	semidirect
486. C₄⋊Q₈	C₂⁴	semidirect
487. C₄⋊Q₈	C₂⁴	semidirect
490. #127	C₂⁴	semidirect
494. #126	C₂⁴	semidirect
495. #126	C₂⁴	semidirect
496. #126	C₂⁴	semidirect
497. #126	C₂⁴	semidirect
498. #125	C₂⁴	semidirect
499. #125	C₂⁴	semidirect
500. #125	C₂⁴	semidirect
501. #125	C₂⁴	semidirect
508. #124	C₂⁴	semidirect
509. #124	C₂⁴	semidirect
510. #124	C₂⁴	semidirect
515. #123	C₂⁴	semidirect
516. #123	C₂⁴	semidirect
517. #123	C₂⁴	semidirect
518. #123	C₂⁴	semidirect
519. #123	C₂⁴	semidirect
520. #123	C₂⁴	semidirect
521. #123	C₂⁴	semidirect
522. #123	C₂⁴	semidirect
523. #123	C₂⁴	semidirect
526. C₂²⋊Q₈	C₂⁴	semidirect
527. C₂²⋊Q₈	C₂⁴	semidirect
528. C₂²⋊Q₈	C₂⁴	semidirect
529. C₂²⋊Q₈	C₂⁴	semidirect
530. C₂²⋊Q₈	C₂⁴	semidirect
531. C₂²⋊Q₈	C₂⁴	semidirect
532. C₂²⋊Q₈	C₂⁴	semidirect
542. #121	C₂⁴	semidirect
543. #121	C₂⁴	semidirect
544. #121	C₂⁴	semidirect
545. #121	C₂⁴	semidirect
546. #121	C₂⁴	semidirect
547. #121	C₂⁴	semidirect
548. #121	C₂⁴	semidirect
549. #121	C₂⁴	semidirect
554. C₄×Q₈	C₂⁴	semidirect
555. C₄×Q₈	C₂⁴	semidirect
556. C₄×Q₈	C₂⁴	semidirect
557. C₄×Q₈	C₂⁴	semidirect
562. C₄×D₄	C₂⁴	semidirect
563. C₄×D₄	C₂⁴	semidirect
564. C₄×D₄	C₂⁴	semidirect
565. C₄×D₄	C₂⁴	semidirect
566. C₄×D₄	C₂⁴	semidirect
567. C₄×D₄	C₂⁴	semidirect
568. C₄×D₄	C₂⁴	semidirect
569. C₄×D₄	C₂⁴	semidirect
570. C₄×D₄	C₂⁴	semidirect
572. #117	C₂⁴	semidirect
573. #117	C₂⁴	semidirect
574. #117	C₂⁴	semidirect
599. C₂×C₄⋊C₄	C₂⁴	semidirect
640. C₂×C₄²	C₂⁴	semidirect
978. C₂²	#3562	direct (N × H)
1006. C₂	C₂×#3562	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#3562	2
C₂²×#559	2
C₂²×#556	2
C₂²×#553	2
C₂²×#551	2
C₂²×#550	2
C₂²×#547	2
C₂²×#548	2
C₂²×#546	2
C₂²×#562	2
C₂²×#560	2
C₂²×#541	2
C₂²×#536	2
C₂²×#540	2
C₂²×#535	2
C₂²×#539	2
C₂²×#538	2
C₂²×#532	2
C₂²×#529	2

Subgroups — C22×#3562 #10586140

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#3562 #10586140