Subgroups — C₂×#62876 #10586210

Order 512.

35702 conjugacy classes of subgroups.

The subgroup lattice has 1004 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62876	C₂	1	64	yes	maximal, direct product factor
2	C₂×#3510	C₂	1	2	yes	maximal, complemented
3	C₂×#3500	C₂	1	2	yes	maximal, complemented
4	C₂×#3508	C₂	1	2	yes	maximal, complemented
5	C₂×#3498	C₂	1	2	yes	maximal, complemented
6	C₂×#3487	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#3485	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#3484	C₂	1	2	yes	maximal, complemented
9	C₂×#3546	C₂	1	8	yes	maximal, complemented
10	C₂×#3543	C₂	1	8	yes	maximal, complemented
11	C₂×#3562	C₂	1	8	yes	maximal, complemented
12	C₂×#3558	C₂	1	8	yes	maximal, complemented
13	C₂×#3534	C₂	1	8	yes	maximal, complemented
14	C₂×#3532	C₂	1	8	yes	maximal, complemented
15	C₂×#3455	C₂	1	2	yes	maximal, complemented
16	C₂²×#535	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
18	C₂²×H(5,𝔽₂)	C₂²	1	2	yes	complemented
19	C₂²×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
20	C₂³×#41	C₂²	1	1	yes	characteristic, complemented
21	C₂⁴×D₄	C₂²	1	1	yes	characteristic, complemented
22	#3562	C₂²	1	256	yes	complemented
23	#3558	C₂²	1	256	yes	complemented
24	#3546	C₂²	1	256	yes	complemented
25	#3543	C₂²	1	256	yes	complemented
26	#3534	C₂²	1	256	yes	complemented
27	#3532	C₂²	1	256	yes	complemented
28	C₂×#562	C₂²	1	16	yes	complemented
29	C₂×H(3,𝔽₄)	C₂²	1	8	yes	complemented
30	C₂×#560	C₂²	1	16	yes	complemented
31	C₂×#560	C₂²	1	8	yes	complemented
32	C₂×#560	C₂²	1	16	yes	complemented
33	#3510	C₂²	1	64	yes	complemented
34	#3508	C₂²	1	64	yes	complemented
35	#3500	C₂²	1	64	yes	complemented
36	#3498	C₂²	1	64	yes	complemented
37	#3487	C₂²	1	32	yes	complemented
38	#3485	C₂²	1	32	yes	complemented
39	#3484	C₂²	1	64	yes	complemented
40	C₂×#559	C₂²	1	8	yes	complemented
41	C₂×#559	C₂²	1	8	yes	complemented
42	C₂×#556	C₂²	1	8	yes	complemented
43	C₂×#553	C₂²	1	16	yes	complemented
44	C₂×#551	C₂²	1	16	yes	complemented
45	C₂×#551	C₂²	1	8	yes	complemented
46	C₂×#550	C₂²	1	8	yes	complemented
47	C₂×#550	C₂²	1	8	yes	complemented
48	C₂×#550	C₂²	1	8	yes	complemented
49	C₂×#548	C₂²	1	8	yes	complemented
50	C₂×#548	C₂²	1	8	yes	complemented
51	C₂×#547	C₂²	1	8	yes	complemented
52	C₂×#546	C₂²	1	8	yes	complemented
53	C₂×#546	C₂²	1	8	yes	complemented
54	C₂×#546	C₂²	1	16	yes	complemented
55	C₂×#546	C₂²	1	16	yes	complemented
56	C₂×#546	C₂²	1	16	yes	complemented
57	C₂×#546	C₂²	1	8	yes	complemented
58	C₂×#546	C₂²	1	16	yes	complemented
59	C₂×#546	C₂²	1	8	yes	complemented
60	C₂×D₄²	C₂²	1	8	yes	complemented
61	C₂×D₄²	C₂²	1	8	yes	complemented
62	C₂×D₄²	C₂²	1	16	yes	complemented
63	C₂×D₄²	C₂²	1	8	yes	complemented
64	C₂×D₄²	C₂²	1	8	yes	complemented
65	#3455	C₂²	1	64	yes	complemented
66	C₂×#542	C₂²	1	4	yes	complemented
67	C₂×#542	C₂²	1	4	yes	complemented
68	C₂×#542	C₂²	1	8	yes	complemented
69	C₂×#541	C₂²	1	4	yes	complemented
70	C₂×#540	C₂²	1	4	yes	complemented
71	C₂×#540	C₂²	1	8	yes	complemented
72	C₂×#540	C₂²	1	16	yes	complemented
73	C₂×#539	C₂²	1	8	yes	complemented
74	C₂×#539	C₂²	1	8	yes	complemented
75	C₂×#538	C₂²	1	8	yes	complemented
76	C₂×#538	C₂²	1	16	yes	complemented
77	C₂×#538	C₂²	1	16	yes	complemented
78	C₂×#538	C₂²	1	16	yes	complemented
79	C₂×#538	C₂²	1	8	yes	complemented
80	C₂×#537	C₂²	1	8	yes	complemented
81	C₂×#536	C₂²	1	2	yes	complemented
82	C₂×#536	C₂²	1	4	yes	complemented
83	C₂×#535	C₂²	1	2	yes	—
84	C₂×#535	C₂²	1	8	yes	complemented
85	C₂×#535	C₂²	1	8	yes	complemented
86	C₂×#535	C₂²	1	2	yes	complemented
87	C₂×#535	C₂²	1	4	yes	complemented
88	C₂×#535	C₂²	1	2	yes	complemented
89	C₂×#535	C₂²	1	16	yes	complemented
90	C₂×#535	C₂²	1	4	yes	complemented
91	C₂×#535	C₂²	1	4	yes	complemented
92	C₂×#535	C₂²	1	4	yes	complemented
93	C₂×#535	C₂²	1	32	yes	complemented
94	C₂×#534	C₂²	1	8	yes	complemented
95	C₂×#534	C₂²	1	4	yes	complemented
96	C₂×#534	C₂²	1	16	yes	complemented
97	C₂×#534	C₂²	1	8	yes	complemented
98	C₂×#533	C₂²	1	2	yes	complemented
99	C₂×#532	C₂²	1	8	yes	complemented
100	C₂×#532	C₂²	1	2	yes	complemented
101	C₂×#532	C₂²	1	4	yes	complemented
102	C₂×#532	C₂²	1	4	yes	complemented
103	C₂²×#127	C₂²	1	2	yes	complemented
104	C₂²×#127	C₂²	1	4	yes	complemented
105	C₂×#529	C₂²	1	8	yes	complemented
106	C₂×#529	C₂²	1	8	yes	complemented
107	C₂×#529	C₂²	1	8	yes	complemented
108	C₂²×#124	C₂²	1	2	yes	complemented
109	C₂²×#124	C₂²	1	4	yes	complemented
110	C₂×#525	C₂²	1	2	yes	complemented
111	C₂×#525	C₂²	1	2	yes	complemented
112	C₂×#525	C₂²	1	4	yes	complemented
113	C₂²×#123	C₂²	1	4	yes	complemented
114	C₂²×#121	C₂²	1	4	yes	complemented
115	C₂²×#120	C₂²	1	8	yes	complemented
116	C₂²×#120	C₂²	1	4	yes	complemented
117	C₂×#519	C₂²	1	1	yes	characteristic, complemented
118	C₂×#518	C₂²	1	2	yes	complemented
119	C₂×#518	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₄×#41	C₂²	1	2	yes	complemented
121	C₂×C₄×#41	C₂²	1	2	yes	complemented
122	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
123	C₂⁶	C₂³	1	2	yes	—
124	C₂×2₋¹⁺⁴	—	4	8	no	—
125	C₂×2₋¹⁺⁴	C₂³	1	16	yes	complemented
126	C₂×H(5,𝔽₂)	—	4	16	no	—
127	C₂×H(5,𝔽₂)	—	4	8	no	—
128	C₂×H(5,𝔽₂)	C₂³	1	32	yes	complemented
129	C₂×H(5,𝔽₂)	C₂³	1	16	yes	complemented
130	C₂²×#41	—	4	8	no	—
131	C₂²×#41	C₂³	1	2	yes	—
132	C₂²×#41	C₂³	1	2	yes	—
133	C₂²×#41	C₂³	1	8	yes	—
134	C₂²×#41	C₂³	1	4	yes	—
135	C₂²×#41	C₂³	1	4	yes	—
136	C₂²×#41	C₂³	1	4	yes	—
137	C₂²×#41	C₂³	1	16	yes	complemented
138	C₂²×#41	C₂³	1	4	yes	complemented
139	C₂²×#41	C₂³	1	4	yes	complemented
140	C₂²×#41	C₂³	1	16	yes	complemented
141	C₂³×Q₈	C₂³	1	1	yes	characteristic
142	C₂³×Q₈	C₂³	1	4	yes	complemented
143	C₂³×D₄	—	4	8	no	—
144	C₂³×D₄	C₂³	1	2	yes	—
145	C₂³×D₄	C₂³	1	1	yes	characteristic
146	C₂³×D₄	C₂³	1	2	yes	—
147	C₂³×D₄	C₂³	1	8	yes	—
148	C₂³×D₄	C₂³	1	2	yes	—
149	C₂³×D₄	C₂³	1	8	yes	—
150	C₂³×D₄	C₂³	1	4	yes	—
151	C₂³×D₄	C₂³	1	4	yes	—
152	C₂³×D₄	C₂³	1	4	yes	—
153	C₂³×D₄	C₂³	1	8	yes	—
154	C₂³×D₄	C₂³	1	16	yes	—
155	C₂³×D₄	C₂³	1	16	yes	complemented
156	C₂³×D₄	C₂³	1	4	yes	complemented
157	C₂³×D₄	C₂³	1	16	yes	complemented
158	C₂⁴×C₄	C₂³	1	1	yes	characteristic
159	C₂⁴×C₄	C₂³	1	2	yes	—
160	#562	C₂³	1	256	yes	complemented
161	H(3,𝔽₄)	C₂³	1	128	yes	complemented
162	#560	C₂³	1	256	yes	complemented
163	#560	C₂³	1	128	yes	complemented
164	#560	C₂³	1	256	yes	complemented
165	#559	C₂³	1	128	yes	complemented
166	#559	C₂³	1	128	yes	complemented
167	#556	C₂³	1	128	yes	complemented
168	#553	C₂³	1	256	yes	complemented
169	#551	C₂³	1	256	yes	complemented
170	#551	C₂³	1	128	yes	complemented
171	#550	C₂³	1	128	yes	complemented
172	#550	C₂³	1	128	yes	complemented
173	#550	C₂³	1	128	yes	complemented
174	#548	C₂³	1	128	yes	complemented
175	#548	C₂³	1	128	yes	complemented
176	#547	C₂³	1	128	yes	complemented
177	#546	C₂³	1	128	yes	complemented
178	#546	C₂³	1	128	yes	complemented
179	#546	C₂³	1	256	yes	complemented
180	#546	C₂³	1	256	yes	complemented
181	#546	C₂³	1	256	yes	complemented
182	#546	C₂³	1	128	yes	complemented
183	#546	C₂³	1	256	yes	complemented
184	#546	C₂³	1	128	yes	complemented
185	D₄²	C₂³	1	128	yes	complemented
186	D₄²	C₂³	1	128	yes	complemented
187	D₄²	C₂³	1	256	yes	complemented
188	D₄²	C₂³	1	128	yes	complemented
189	D₄²	C₂³	1	128	yes	complemented
190	#542	C₂³	1	64	yes	complemented
191	#542	C₂³	1	64	yes	complemented
192	#542	C₂³	1	128	yes	complemented
193	#541	C₂³	1	64	yes	complemented
194	#540	C₂³	1	64	yes	complemented
195	#540	C₂³	1	128	yes	complemented
196	#540	C₂³	1	256	yes	complemented
197	#539	C₂³	1	128	yes	complemented
198	#539	C₂³	1	128	yes	complemented
199	#538	C₂³	1	128	yes	complemented
200	#538	C₂³	1	256	yes	complemented
201	#538	C₂³	1	256	yes	complemented
202	#538	C₂³	1	256	yes	complemented
203	#538	C₂³	1	128	yes	complemented
204	#537	C₂³	1	128	yes	complemented
205	#536	C₂³	1	32	yes	complemented
206	#536	C₂³	1	64	yes	complemented
207	#535	C₂³	1	32	yes	—
208	#535	C₂³	1	128	yes	complemented
209	#535	C₂³	1	128	yes	complemented
210	#535	C₂³	1	32	yes	complemented
211	#535	C₂³	1	64	yes	complemented
212	#535	C₂³	1	32	yes	complemented
213	#535	C₂³	1	256	yes	complemented
214	#535	C₂³	1	64	yes	complemented
215	#535	C₂³	1	64	yes	complemented
216	#535	C₂³	1	64	yes	complemented
217	#534	C₂³	1	128	yes	complemented
218	#534	C₂³	1	64	yes	complemented
219	#534	C₂³	1	256	yes	complemented
220	#534	C₂³	1	128	yes	complemented
221	#533	C₂³	1	32	yes	complemented
222	#532	C₂³	1	32	yes	complemented
223	#532	C₂³	1	128	yes	complemented
224	#532	C₂³	1	64	yes	complemented
225	#532	C₂³	1	64	yes	complemented
226	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
227	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
228	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
229	C₂×#127	C₂³	1	4	yes	—
230	C₂×#127	C₂³	1	4	yes	—
231	C₂×#127	C₂³	1	4	yes	—
232	C₂×#127	C₂³	1	8	yes	—
233	C₂×#127	C₂³	1	4	yes	—
234	C₂×#127	C₂³	1	8	yes	—
235	C₂×#127	C₂³	1	32	yes	complemented
236	C₂×#127	C₂³	1	2	yes	complemented
237	C₂×#127	C₂³	1	4	yes	complemented
238	C₂×#127	C₂³	1	16	yes	complemented
239	C₂×#127	C₂³	1	64	yes	complemented
240	#529	C₂³	1	128	yes	complemented
241	#529	C₂³	1	128	yes	complemented
242	#529	C₂³	1	128	yes	complemented
243	C₂×#126	C₂³	1	8	yes	—
244	C₂×#126	C₂³	1	8	yes	—
245	C₂×#126	C₂³	1	8	yes	complemented
246	C₂×#126	C₂³	1	16	yes	complemented
247	C₂×#126	C₂³	1	8	yes	complemented
248	C₂×#126	C₂³	1	16	yes	complemented
249	C₂×#125	C₂³	1	4	yes	complemented
250	C₂×#125	C₂³	1	8	yes	complemented
251	C₂×#125	C₂³	1	8	yes	complemented
252	C₂×#124	C₂³	1	4	yes	—
253	C₂×#124	C₂³	1	4	yes	—
254	C₂×#124	C₂³	1	8	yes	—
255	C₂×#124	C₂³	1	4	yes	—
256	C₂×#124	C₂³	1	8	yes	—
257	C₂×#124	C₂³	1	8	yes	—
258	C₂×#124	C₂³	1	4	yes	—
259	C₂×#124	C₂³	1	8	yes	—
260	C₂×#124	C₂³	1	32	yes	complemented
261	C₂×#124	C₂³	1	2	yes	complemented
262	C₂×#124	C₂³	1	4	yes	complemented
263	C₂×#124	C₂³	1	16	yes	complemented
264	C₂×#124	C₂³	1	2	yes	complemented
265	C₂×#124	C₂³	1	4	yes	complemented
266	C₂×#124	C₂³	1	16	yes	complemented
267	C₂×#124	C₂³	1	16	yes	complemented
268	C₂×#124	C₂³	1	64	yes	complemented
269	#525	C₂³	1	32	yes	complemented
270	#525	C₂³	1	32	yes	complemented
271	#525	C₂³	1	64	yes	complemented
272	C₂×#123	C₂³	1	4	yes	—
273	C₂×#123	C₂³	1	8	yes	—
274	C₂×#123	C₂³	1	4	yes	—
275	C₂×#123	C₂³	1	8	yes	—
276	C₂×#123	C₂³	1	8	yes	—
277	C₂×#123	C₂³	1	8	yes	—
278	C₂×#123	C₂³	1	16	yes	—
279	C₂×#123	C₂³	1	16	yes	complemented
280	C₂×#123	C₂³	1	8	yes	complemented
281	C₂×#123	C₂³	1	16	yes	complemented
282	C₂×#123	C₂³	1	8	yes	complemented
283	C₂×#123	C₂³	1	16	yes	complemented
284	C₂×#123	C₂³	1	16	yes	complemented
285	C₂×#123	C₂³	1	16	yes	complemented
286	C₂×#123	C₂³	1	16	yes	complemented
287	C₂×#123	C₂³	1	64	yes	complemented
288	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
289	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
290	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
291	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
292	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
293	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
294	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
295	C₂×C₂²⋊Q₈	C₂³	1	16	yes	complemented
296	C₂×C₂²⋊Q₈	C₂³	1	16	yes	complemented
297	C₂×#121	C₂³	1	8	yes	—
298	C₂×#121	C₂³	1	8	yes	—
299	C₂×#121	C₂³	1	16	yes	—
300	C₂×#121	C₂³	1	4	yes	—
301	C₂×#121	C₂³	1	4	yes	—
302	C₂×#121	C₂³	1	8	yes	—
303	C₂×#121	C₂³	1	8	yes	—
304	C₂×#121	C₂³	1	8	yes	—
305	C₂×#121	C₂³	1	8	yes	—
306	C₂×#121	C₂³	1	8	yes	—
307	C₂×#121	C₂³	1	16	yes	—
308	C₂×#121	C₂³	1	16	yes	—
309	C₂×#121	C₂³	1	16	yes	—
310	C₂×#121	C₂³	1	16	yes	—
311	C₂×#121	C₂³	1	64	yes	complemented
312	C₂×#121	C₂³	1	8	yes	complemented
313	C₂×#121	C₂³	1	16	yes	complemented
314	C₂×#121	C₂³	1	16	yes	complemented
315	C₂×#121	C₂³	1	8	yes	complemented
316	C₂×#121	C₂³	1	16	yes	complemented
317	C₂×#121	C₂³	1	16	yes	complemented
318	C₂×#121	C₂³	1	16	yes	complemented
319	C₂×#121	C₂³	1	16	yes	complemented
320	C₂×#121	C₂³	1	16	yes	complemented
321	C₂×#121	C₂³	1	16	yes	complemented
322	C₂×#120	C₂³	1	4	yes	—
323	C₂×#120	C₂³	1	4	yes	—
324	C₂×#120	C₂³	1	8	yes	—
325	C₂×#120	C₂³	1	16	yes	—
326	C₂×#120	C₂³	1	8	yes	—
327	C₂×#120	C₂³	1	16	yes	—
328	C₂×#120	C₂³	1	8	yes	—
329	C₂×#120	C₂³	1	8	yes	—
330	C₂×#120	C₂³	1	16	yes	—
331	C₂×#120	C₂³	1	8	yes	—
332	C₂×#120	C₂³	1	8	yes	—
333	C₂×#120	C₂³	1	16	yes	—
334	C₂×#120	C₂³	1	64	yes	complemented
335	C₂×#120	C₂³	1	128	yes	complemented
336	C₂×#120	C₂³	1	16	yes	complemented
337	C₂×#120	C₂³	1	16	yes	complemented
338	C₂×#120	C₂³	1	16	yes	complemented
339	#519	C₂³	1	16	yes	complemented
340	#518	C₂³	1	32	yes	complemented
341	#518	C₂³	1	16	yes	complemented
342	C₄×#41	C₂³	1	32	yes	complemented
343	C₄×#41	C₂³	1	32	yes	complemented
344	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
345	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
346	C₂×C₄×Q₈	C₂³	1	8	yes	complemented
347	C₂×C₄×Q₈	C₂³	1	8	yes	complemented
348	C₂×C₄×D₄	C₂³	1	8	yes	—
349	C₂×C₄×D₄	C₂³	1	8	yes	—
350	C₂×C₄×D₄	C₂³	1	8	yes	—
351	C₂×C₄×D₄	C₂³	1	8	yes	—
352	C₂×C₄×D₄	C₂³	1	8	yes	—
353	C₂×C₄×D₄	C₂³	1	8	yes	—
354	C₂×C₄×D₄	C₂³	1	4	yes	complemented
355	C₂×C₄×D₄	C₂³	1	4	yes	complemented
356	C₂×C₄×D₄	C₂³	1	8	yes	complemented
357	C₂×C₄×D₄	C₂³	1	16	yes	complemented
358	C₂×C₄×D₄	C₂³	1	8	yes	complemented
359	C₂×C₄×D₄	C₂³	1	16	yes	complemented
360	C₂×C₄×D₄	C₂³	1	16	yes	complemented
361	C₂×C₄×D₄	C₂³	1	16	yes	complemented
362	C₂×C₄×D₄	C₂³	1	16	yes	complemented
363	C₂×#117	C₂³	1	4	yes	—
364	C₂×#117	C₂³	1	4	yes	—
365	C₂×#117	C₂³	1	2	yes	—
366	C₂×#117	C₂³	1	2	yes	—
367	C₂×#117	C₂³	1	4	yes	—
368	C₂×#117	C₂³	1	16	yes	complemented
369	C₂×#117	C₂³	1	4	yes	complemented
370	C₂×#117	C₂³	1	4	yes	complemented
371	C₂×#117	C₂³	1	16	yes	complemented
372	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
373	C₂²×C₄⋊C₄	C₂³	1	8	yes	complemented
374	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
375	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
376	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
377	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
378	C₂²×C₂²⋊C₄	C₂³	1	16	yes	—
379	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
380	C₂²×C₂²⋊C₄	C₂³	1	16	yes	complemented
381	C₂²×C₄²	C₂³	1	2	yes	—
382	C₂²×C₄²	C₂³	1	4	yes	complemented
383	C₂²×C₄²	C₂³	1	4	yes	complemented
384	C₂⁵	—	4	8	no	—
385	C₂⁵	—	8	8	no	—
386	C₂⁵	C₂⁴	1	4	yes	—
387	C₂⁵	C₂⁴	1	1	yes	characteristic
388	C₂⁵	C₂⁴	1	2	yes	—
389	C₂⁵	C₂⁴	1	8	yes	—
390	C₂⁵	C₂⁴	1	8	yes	—
391	C₂⁵	C₂⁴	1	4	yes	—
392	C₂⁵	C₂⁴	1	16	yes	—
393	2₋¹⁺⁴	—	4	64	no	—
394	H(5,𝔽₂)	—	4	128	no	—
395	H(5,𝔽₂)	—	4	64	no	—
396	C₂×#41	—	2	16	no	—
397	C₂×#41	—	2	16	no	—
398	C₂×#41	—	4	16	no	—
399	C₂×#41	—	4	32	no	—
400	C₂×#41	—	4	64	no	—
401	C₂×#41	—	4	16	no	—
402	C₂×#41	—	4	16	no	—
403	C₂×#41	—	4	16	no	—
404	C₂×#41	—	4	16	no	—
405	C₂×#41	—	8	32	no	—
406	C₂×#41	C₂⁴	1	16	yes	—
407	C₂×#41	C₂⁴	1	16	yes	—
408	C₂×#41	C₂⁴	1	32	yes	—
409	C₂×#41	C₂⁴	1	32	yes	—
410	C₂×#41	C₂⁴	1	32	yes	—
411	C₂×#41	C₂⁴	1	64	yes	—
412	C₂×#41	C₂⁴	1	32	yes	complemented
413	C₂×#41	C₂⁴	1	32	yes	complemented
414	C₂×#41	C₂⁴	1	128	yes	complemented
415	C₂²×Q₈	—	2	8	no	—
416	C₂²×Q₈	—	4	16	no	—
417	C₂²×Q₈	C₂⁴	1	2	yes	—
418	C₂²×Q₈	C₂⁴	1	2	yes	—
419	C₂²×Q₈	C₂⁴	1	4	yes	—
420	C₂²×Q₈	C₂⁴	1	8	yes	—
421	C₂²×Q₈	C₂⁴	1	8	yes	—
422	C₂²×Q₈	C₂⁴	1	4	yes	—
423	C₂²×Q₈	C₂⁴	1	32	yes	complemented
424	C₂²×D₄	—	2	16	no	—
425	C₂²×D₄	—	2	8	no	—
426	C₂²×D₄	—	4	32	no	—
427	C₂²×D₄	—	4	64	no	—
428	C₂²×D₄	—	4	16	no	—
429	C₂²×D₄	—	4	16	no	—
430	C₂²×D₄	—	4	16	no	—
431	C₂²×D₄	—	4	8	no	—
432	C₂²×D₄	—	4	8	no	—
433	C₂²×D₄	—	4	16	no	—
434	C₂²×D₄	—	4	32	no	—
435	C₂²×D₄	—	8	16	no	—
436	C₂²×D₄	—	8	32	no	—
437	C₂²×D₄	—	8	32	no	—
438	C₂²×D₄	C₂⁴	1	4	yes	—
439	C₂²×D₄	C₂⁴	1	4	yes	—
440	C₂²×D₄	C₂⁴	1	4	yes	—
441	C₂²×D₄	C₂⁴	1	4	yes	—
442	C₂²×D₄	C₂⁴	1	2	yes	—
443	C₂²×D₄	C₂⁴	1	2	yes	—
444	C₂²×D₄	C₂⁴	1	4	yes	—
445	C₂²×D₄	C₂⁴	1	16	yes	—
446	C₂²×D₄	C₂⁴	1	8	yes	—
447	C₂²×D₄	C₂⁴	1	8	yes	—
448	C₂²×D₄	C₂⁴	1	8	yes	—
449	C₂²×D₄	C₂⁴	1	16	yes	—
450	C₂²×D₄	C₂⁴	1	16	yes	—
451	C₂²×D₄	C₂⁴	1	16	yes	—
452	C₂²×D₄	C₂⁴	1	16	yes	—
453	C₂²×D₄	C₂⁴	1	16	yes	—
454	C₂²×D₄	C₂⁴	1	8	yes	—
455	C₂²×D₄	C₂⁴	1	8	yes	—
456	C₂²×D₄	C₂⁴	1	8	yes	—
457	C₂²×D₄	C₂⁴	1	8	yes	—
458	C₂²×D₄	C₂⁴	1	8	yes	—
459	C₂²×D₄	C₂⁴	1	4	yes	—
460	C₂²×D₄	C₂⁴	1	16	yes	—
461	C₂²×D₄	C₂⁴	1	8	yes	—
462	C₂²×D₄	C₂⁴	1	64	yes	—
463	C₂²×D₄	C₂⁴	1	16	yes	—
464	C₂²×D₄	C₂⁴	1	32	yes	—
465	C₂²×D₄	C₂⁴	1	32	yes	—
466	C₂²×D₄	C₂⁴	1	32	yes	—
467	C₂²×D₄	C₂⁴	1	64	yes	—
468	C₂²×D₄	C₂⁴	1	64	yes	—
469	C₂²×D₄	C₂⁴	1	128	yes	—
470	C₂²×D₄	C₂⁴	1	32	yes	complemented
471	C₂²×D₄	C₂⁴	1	128	yes	complemented
472	C₂³×C₄	—	2	8	no	—
473	C₂³×C₄	—	4	8	no	—
474	C₂³×C₄	C₂⁴	1	2	yes	—
475	C₂³×C₄	C₂⁴	1	1	yes	characteristic
476	C₂³×C₄	C₂⁴	1	4	yes	—
477	C₂³×C₄	C₂⁴	1	8	yes	—
478	C₂³×C₄	C₂⁴	1	4	yes	—
479	C₂³×C₄	C₂⁴	1	4	yes	—
480	C₂³×C₄	C₂⁴	1	4	yes	—
481	C₂³×C₄	C₂⁴	1	16	yes	—
482	C₂³×C₄	C₂⁴	1	8	yes	—
483	C₂³×C₄	C₂⁴	1	8	yes	—
484	C₂³×C₄	C₂⁴	1	8	yes	—
485	C₂³×C₄	C₂⁴	1	8	yes	—
486	C₂³×C₄	C₂⁴	1	8	yes	—
487	C₂³×C₄	C₂⁴	1	4	yes	—
488	C₂³×C₄	C₂⁴	1	8	yes	—
489	C₂³×C₄	C₂⁴	1	16	yes	—
490	C₂³×C₄	C₂⁴	1	1	yes	characteristic
491	C₄⋊Q₈	C₂⁴	1	16	yes	complemented
492	C₄⋊Q₈	C₂⁴	1	32	yes	complemented
493	C₄⋊Q₈	C₂⁴	1	32	yes	complemented
494	#127	C₂⁴	1	32	yes	—
495	#127	C₂⁴	1	32	yes	—
496	#127	C₂⁴	1	32	yes	—
497	#127	C₂⁴	1	64	yes	—
498	#127	C₂⁴	1	32	yes	—
499	#127	C₂⁴	1	64	yes	—
500	#127	C₂⁴	1	16	yes	complemented
501	#127	C₂⁴	1	32	yes	complemented
502	#127	C₂⁴	1	128	yes	complemented
503	#126	C₂⁴	1	64	yes	—
504	#126	C₂⁴	1	64	yes	—
505	#126	C₂⁴	1	64	yes	complemented
506	#126	C₂⁴	1	128	yes	complemented
507	#126	C₂⁴	1	64	yes	complemented
508	#126	C₂⁴	1	128	yes	complemented
509	#125	C₂⁴	1	32	yes	complemented
510	#125	C₂⁴	1	64	yes	complemented
511	#125	C₂⁴	1	64	yes	complemented
512	#124	C₂⁴	1	32	yes	—
513	#124	C₂⁴	1	32	yes	—
514	#124	C₂⁴	1	64	yes	—
515	#124	C₂⁴	1	32	yes	—
516	#124	C₂⁴	1	64	yes	—
517	#124	C₂⁴	1	64	yes	—
518	#124	C₂⁴	1	32	yes	—
519	#124	C₂⁴	1	64	yes	—
520	#124	C₂⁴	1	16	yes	complemented
521	#124	C₂⁴	1	32	yes	complemented
522	#124	C₂⁴	1	128	yes	complemented
523	#124	C₂⁴	1	16	yes	complemented
524	#124	C₂⁴	1	32	yes	complemented
525	#124	C₂⁴	1	128	yes	complemented
526	#124	C₂⁴	1	128	yes	complemented
527	#123	C₂⁴	1	32	yes	—
528	#123	C₂⁴	1	64	yes	—
529	#123	C₂⁴	1	32	yes	—
530	#123	C₂⁴	1	64	yes	—
531	#123	C₂⁴	1	64	yes	—
532	#123	C₂⁴	1	64	yes	—
533	#123	C₂⁴	1	128	yes	—
534	#123	C₂⁴	1	128	yes	complemented
535	#123	C₂⁴	1	64	yes	complemented
536	#123	C₂⁴	1	128	yes	complemented
537	#123	C₂⁴	1	64	yes	complemented
538	#123	C₂⁴	1	128	yes	complemented
539	#123	C₂⁴	1	128	yes	complemented
540	#123	C₂⁴	1	128	yes	complemented
541	#123	C₂⁴	1	128	yes	complemented
542	C₂²⋊Q₈	C₂⁴	1	32	yes	—
543	C₂²⋊Q₈	C₂⁴	1	32	yes	—
544	C₂²⋊Q₈	C₂⁴	1	64	yes	—
545	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
546	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
547	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
548	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
549	C₂²⋊Q₈	C₂⁴	1	128	yes	complemented
550	C₂²⋊Q₈	C₂⁴	1	128	yes	complemented
551	#121	C₂⁴	1	64	yes	—
552	#121	C₂⁴	1	64	yes	—
553	#121	C₂⁴	1	128	yes	—
554	#121	C₂⁴	1	32	yes	—
555	#121	C₂⁴	1	32	yes	—
556	#121	C₂⁴	1	64	yes	—
557	#121	C₂⁴	1	64	yes	—
558	#121	C₂⁴	1	64	yes	—
559	#121	C₂⁴	1	64	yes	—
560	#121	C₂⁴	1	64	yes	—
561	#121	C₂⁴	1	128	yes	—
562	#121	C₂⁴	1	128	yes	—
563	#121	C₂⁴	1	128	yes	—
564	#121	C₂⁴	1	128	yes	—
565	#121	C₂⁴	1	64	yes	complemented
566	#121	C₂⁴	1	128	yes	complemented
567	#121	C₂⁴	1	128	yes	complemented
568	#121	C₂⁴	1	64	yes	complemented
569	#121	C₂⁴	1	128	yes	complemented
570	#121	C₂⁴	1	128	yes	complemented
571	#121	C₂⁴	1	128	yes	complemented
572	#121	C₂⁴	1	128	yes	complemented
573	#121	C₂⁴	1	128	yes	complemented
574	#121	C₂⁴	1	128	yes	complemented
575	#120	C₂⁴	1	32	yes	—
576	#120	C₂⁴	1	32	yes	—
577	#120	C₂⁴	1	64	yes	—
578	#120	C₂⁴	1	128	yes	—
579	#120	C₂⁴	1	64	yes	—
580	#120	C₂⁴	1	128	yes	—
581	#120	C₂⁴	1	64	yes	—
582	#120	C₂⁴	1	64	yes	—
583	#120	C₂⁴	1	128	yes	—
584	#120	C₂⁴	1	64	yes	—
585	#120	C₂⁴	1	64	yes	—
586	#120	C₂⁴	1	128	yes	—
587	#120	C₂⁴	1	128	yes	complemented
588	#120	C₂⁴	1	128	yes	complemented
589	#120	C₂⁴	1	128	yes	complemented
590	C₄×Q₈	C₂⁴	1	32	yes	complemented
591	C₄×Q₈	C₂⁴	1	32	yes	complemented
592	C₄×Q₈	C₂⁴	1	64	yes	complemented
593	C₄×Q₈	C₂⁴	1	64	yes	complemented
594	C₄×D₄	C₂⁴	1	64	yes	—
595	C₄×D₄	C₂⁴	1	64	yes	—
596	C₄×D₄	C₂⁴	1	64	yes	—
597	C₄×D₄	C₂⁴	1	64	yes	—
598	C₄×D₄	C₂⁴	1	64	yes	—
599	C₄×D₄	C₂⁴	1	64	yes	—
600	C₄×D₄	C₂⁴	1	32	yes	complemented
601	C₄×D₄	C₂⁴	1	32	yes	complemented
602	C₄×D₄	C₂⁴	1	64	yes	complemented
603	C₄×D₄	C₂⁴	1	128	yes	complemented
604	C₄×D₄	C₂⁴	1	64	yes	complemented
605	C₄×D₄	C₂⁴	1	128	yes	complemented
606	C₄×D₄	C₂⁴	1	128	yes	complemented
607	C₄×D₄	C₂⁴	1	128	yes	complemented
608	C₄×D₄	C₂⁴	1	128	yes	complemented
609	#117	C₂⁴	1	32	yes	—
610	#117	C₂⁴	1	32	yes	—
611	#117	C₂⁴	1	16	yes	—
612	#117	C₂⁴	1	16	yes	—
613	#117	C₂⁴	1	32	yes	—
614	#117	C₂⁴	1	32	yes	complemented
615	#117	C₂⁴	1	32	yes	complemented
616	#117	C₂⁴	1	128	yes	complemented
617	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
618	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
619	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
620	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
621	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
622	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
623	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
624	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
625	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
626	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
627	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
628	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
629	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
630	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
631	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
632	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
633	C₂×C₄⋊C₄	C₂⁴	1	64	yes	complemented
634	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
635	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
636	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
637	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
638	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
639	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
640	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
641	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
642	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
643	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
644	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
645	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
646	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
647	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
648	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
649	C₂×C₂²⋊C₄	C₂⁴	1	32	yes	—
650	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
651	C₂×C₂²⋊C₄	C₂⁴	1	128	yes	—
652	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
653	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
654	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
655	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
656	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
657	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
658	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
659	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
660	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	complemented
661	C₂×C₂²⋊C₄	C₂⁴	1	128	yes	complemented
662	C₂×C₄²	C₂⁴	1	2	yes	—
663	C₂×C₄²	C₂⁴	1	2	yes	—
664	C₂×C₄²	C₂⁴	1	4	yes	—
665	C₂×C₄²	C₂⁴	1	8	yes	—
666	C₂×C₄²	C₂⁴	1	4	yes	—
667	C₂×C₄²	C₂⁴	1	4	yes	—
668	C₂×C₄²	C₂⁴	1	8	yes	—
669	C₂×C₄²	C₂⁴	1	16	yes	—
670	C₂×C₄²	C₂⁴	1	8	yes	—
671	C₂×C₄²	C₂⁴	1	32	yes	complemented
672	C₂×C₄²	C₂⁴	1	32	yes	complemented
673	C₂⁴	—	2	4	no	—
674	C₂⁴	—	2	8	no	—
675	C₂⁴	—	2	16	no	—
676	C₂⁴	—	4	4	no	—
677	C₂⁴	—	4	16	no	—
678	C₂⁴	—	4	32	no	—
679	C₂⁴	—	4	8	no	—
680	C₂⁴	—	4	16	no	—
681	C₂⁴	—	4	32	no	—
682	C₂⁴	—	4	16	no	—
683	C₂⁴	—	4	8	no	—
684	C₂⁴	—	4	32	no	—
685	C₂⁴	—	4	16	no	—
686	C₂⁴	—	8	32	no	—
687	C₂⁴	—	8	64	no	—
688	C₂⁴	C₂⁵	1	2	yes	—
689	C₂⁴	C₂⁵	1	4	yes	—
690	C₂⁴	C₂⁵	1	8	yes	—
691	C₂⁴	C₂⁵	1	4	yes	—
692	C₂⁴	C₂⁵	1	4	yes	—
693	C₂⁴	C₂⁵	1	1	yes	characteristic
694	C₂⁴	C₂⁵	1	16	yes	—
695	C₂⁴	C₂⁵	1	4	yes	—
696	C₂⁴	C₂⁵	1	8	yes	—
697	C₂⁴	C₂⁵	1	32	yes	—
698	C₂⁴	C₂⁵	1	32	yes	—
699	C₂⁴	C₂⁵	1	16	yes	—
700	#41	—	2	64	no	—
701	#41	—	2	64	no	—
702	#41	—	4	64	no	—
703	#41	—	4	128	no	—
704	#41	—	4	64	no	—
705	#41	—	4	64	no	—
706	#41	—	4	64	no	—
707	#41	—	4	64	no	—
708	#41	—	8	128	no	—
709	C₂×Q₈	—	2	16	no	—
710	C₂×Q₈	—	2	32	no	—
711	C₂×Q₈	—	2	8	no	—
712	C₂×Q₈	—	2	8	no	—
713	C₂×Q₈	—	4	8	no	—
714	C₂×Q₈	—	4	16	no	—
715	C₂×Q₈	—	4	64	no	—
716	C₂×Q₈	C₂⁵	1	8	yes	—
717	C₂×Q₈	C₂⁵	1	8	yes	—
718	C₂×Q₈	C₂⁵	1	16	yes	—
719	C₂×Q₈	C₂⁵	1	32	yes	—
720	C₂×Q₈	C₂⁵	1	16	yes	—
721	C₂×D₄	—	2	16	no	—
722	C₂×D₄	—	2	16	no	—
723	C₂×D₄	—	2	16	no	—
724	C₂×D₄	—	2	16	no	—
725	C₂×D₄	—	2	64	no	—
726	C₂×D₄	—	2	16	no	—
727	C₂×D₄	—	2	32	no	—
728	C₂×D₄	—	2	8	no	—
729	C₂×D₄	—	2	8	no	—
730	C₂×D₄	—	4	128	no	—
731	C₂×D₄	—	4	64	no	—
732	C₂×D₄	—	4	64	no	—
733	C₂×D₄	—	4	64	no	—
734	C₂×D₄	—	4	16	no	—
735	C₂×D₄	—	4	32	no	—
736	C₂×D₄	—	4	16	no	—
737	C₂×D₄	—	4	16	no	—
738	C₂×D₄	—	4	16	no	—
739	C₂×D₄	—	4	16	no	—
740	C₂×D₄	—	4	32	no	—
741	C₂×D₄	—	4	16	no	—
742	C₂×D₄	—	4	32	no	—
743	C₂×D₄	—	4	16	no	—
744	C₂×D₄	—	4	16	no	—
745	C₂×D₄	—	4	32	no	—
746	C₂×D₄	—	4	32	no	—
747	C₂×D₄	—	4	32	no	—
748	C₂×D₄	—	4	32	no	—
749	C₂×D₄	—	4	8	no	—
750	C₂×D₄	—	4	64	no	—
751	C₂×D₄	—	4	128	no	—
752	C₂×D₄	—	8	64	no	—
753	C₂×D₄	—	8	128	no	—
754	C₂×D₄	—	8	128	no	—
755	C₂×D₄	C₂⁵	1	16	yes	—
756	C₂×D₄	C₂⁵	1	16	yes	—
757	C₂×D₄	C₂⁵	1	16	yes	—
758	C₂×D₄	C₂⁵	1	16	yes	—
759	C₂×D₄	C₂⁵	1	8	yes	—
760	C₂×D₄	C₂⁵	1	8	yes	—
761	C₂×D₄	C₂⁵	1	16	yes	—
762	C₂×D₄	C₂⁵	1	32	yes	—
763	C₂×D₄	C₂⁵	1	32	yes	—
764	C₂×D₄	C₂⁵	1	64	yes	—
765	C₂×D₄	C₂⁵	1	64	yes	—
766	C₂×D₄	C₂⁵	1	64	yes	—
767	C₂×D₄	C₂⁵	1	64	yes	—
768	C₂×D₄	C₂⁵	1	64	yes	—
769	C₂×D₄	C₂⁵	1	32	yes	—
770	C₂×D₄	C₂⁵	1	32	yes	—
771	C₂×D₄	C₂⁵	1	32	yes	—
772	C₂×D₄	C₂⁵	1	32	yes	—
773	C₂×D₄	C₂⁵	1	32	yes	—
774	C₂×D₄	C₂⁵	1	16	yes	—
775	C₂×D₄	C₂⁵	1	32	yes	—
776	C₂²×C₄	—	2	4	no	—
777	C₂²×C₄	—	2	8	no	—
778	C₂²×C₄	—	2	16	no	—
779	C₂²×C₄	—	2	32	no	—
780	C₂²×C₄	—	2	16	no	—
781	C₂²×C₄	—	2	16	no	—
782	C₂²×C₄	—	4	16	no	—
783	C₂²×C₄	—	4	32	no	—
784	C₂²×C₄	—	4	8	no	—
785	C₂²×C₄	—	4	16	no	—
786	C₂²×C₄	—	4	16	no	—
787	C₂²×C₄	—	4	8	no	—
788	C₂²×C₄	—	4	32	no	—
789	C₂²×C₄	—	4	16	no	—
790	C₂²×C₄	—	4	16	no	—
791	C₂²×C₄	—	4	16	no	—
792	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
793	C₂²×C₄	C₂⁵	1	16	yes	—
794	C₂²×C₄	C₂⁵	1	16	yes	—
795	C₂²×C₄	C₂⁵	1	8	yes	—
796	C₂²×C₄	C₂⁵	1	4	yes	—
797	C₂²×C₄	C₂⁵	1	16	yes	—
798	C₂²×C₄	C₂⁵	1	4	yes	—
799	C₂²×C₄	C₂⁵	1	8	yes	—
800	C₂²×C₄	C₂⁵	1	4	yes	—
801	C₂²×C₄	C₂⁵	1	8	yes	—
802	C₂²×C₄	C₂⁵	1	4	yes	—
803	C₂²×C₄	C₂⁵	1	4	yes	—
804	C₂²×C₄	C₂⁵	1	4	yes	—
805	C₂²×C₄	C₂⁵	1	2	yes	—
806	C₂²×C₄	C₂⁵	1	16	yes	—
807	C₂²×C₄	C₂⁵	1	32	yes	—
808	C₂²×C₄	C₂⁵	1	32	yes	—
809	C₂²×C₄	C₂⁵	1	64	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	16	yes	—
815	C₂²×C₄	C₂⁵	1	4	yes	—
816	C₂²×C₄	C₂⁵	1	2	yes	—
817	C₄⋊C₄	C₂⁵	1	8	yes	—
818	C₄⋊C₄	C₂⁵	1	16	yes	—
819	C₄⋊C₄	C₂⁵	1	8	yes	—
820	C₄⋊C₄	C₂⁵	1	32	yes	—
821	C₄⋊C₄	C₂⁵	1	64	yes	—
822	C₄⋊C₄	C₂⁵	1	16	yes	—
823	C₄⋊C₄	C₂⁵	1	16	yes	—
824	C₄⋊C₄	C₂⁵	1	32	yes	—
825	C₄⋊C₄	C₂⁵	1	32	yes	—
826	C₄⋊C₄	C₂⁵	1	32	yes	—
827	C₄⋊C₄	C₂⁵	1	32	yes	—
828	C₄⋊C₄	C₂⁵	1	32	yes	—
829	C₄⋊C₄	C₂⁵	1	32	yes	—
830	C₄⋊C₄	C₂⁵	1	32	yes	—
831	C₄⋊C₄	C₂⁵	1	32	yes	—
832	C₂²⋊C₄	C₂⁵	1	16	yes	—
833	C₂²⋊C₄	C₂⁵	1	16	yes	—
834	C₂²⋊C₄	C₂⁵	1	32	yes	—
835	C₂²⋊C₄	C₂⁵	1	32	yes	—
836	C₂²⋊C₄	C₂⁵	1	64	yes	—
837	C₂²⋊C₄	C₂⁵	1	64	yes	—
838	C₂²⋊C₄	C₂⁵	1	8	yes	—
839	C₂²⋊C₄	C₂⁵	1	16	yes	—
840	C₂²⋊C₄	C₂⁵	1	8	yes	—
841	C₂²⋊C₄	C₂⁵	1	64	yes	—
842	C₂²⋊C₄	C₂⁵	1	64	yes	—
843	C₂²⋊C₄	C₂⁵	1	64	yes	—
844	C₂²⋊C₄	C₂⁵	1	32	yes	—
845	C₂²⋊C₄	C₂⁵	1	32	yes	—
846	C₂²⋊C₄	C₂⁵	1	64	yes	—
847	C₂²⋊C₄	C₂⁵	1	32	yes	—
848	C₂²⋊C₄	C₂⁵	1	32	yes	—
849	C₂²⋊C₄	C₂⁵	1	32	yes	—
850	C₂²⋊C₄	C₂⁵	1	32	yes	—
851	C₂²⋊C₄	C₂⁵	1	64	yes	—
852	C₂²⋊C₄	C₂⁵	1	32	yes	—
853	C₄²	C₂⁵	1	8	yes	—
854	C₄²	C₂⁵	1	8	yes	—
855	C₄²	C₂⁵	1	16	yes	—
856	C₄²	C₂⁵	1	16	yes	—
857	C₄²	C₂⁵	1	16	yes	—
858	C₄²	C₂⁵	1	32	yes	—
859	C₄²	C₂⁵	1	32	yes	—
860	C₄²	C₂⁵	1	32	yes	—
861	C₂³	—	2	4	no	—
862	C₂³	—	2	8	no	—
863	C₂³	—	2	4	no	—
864	C₂³	—	2	8	no	—
865	C₂³	—	2	8	no	—
866	C₂³	—	2	8	no	—
867	C₂³	—	2	16	no	—
868	C₂³	—	2	16	no	—
869	C₂³	—	2	16	no	—
870	C₂³	—	2	32	no	—
871	C₂³	—	2	16	no	—
872	C₂³	—	2	8	no	—
873	C₂³	—	2	16	no	—
874	C₂³	—	2	32	no	—
875	C₂³	—	4	8	no	—
876	C₂³	—	4	32	no	—
877	C₂³	—	4	16	no	—
878	C₂³	—	4	32	no	—
879	C₂³	—	4	64	no	—
880	C₂³	—	4	32	no	—
881	C₂³	—	4	16	no	—
882	C₂³	—	4	64	no	—
883	C₂³	—	4	32	no	—
884	C₂³	—	4	16	no	—
885	C₂³	—	8	16	no	—
886	C₂³	—	8	32	no	—
887	C₂³	—	8	64	no	—
888	C₂³	—	8	128	no	—
889	C₂³	—	16	32	no	—
890	C₂³	—	16	16	no	—
891	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
892	C₂³	C₂⁶	1	4	yes	—
893	C₂³	C₂⁶	1	8	yes	—
894	C₂³	C₂⁶	1	16	yes	—
895	C₂³	C₂⁶	1	8	yes	—
896	C₂³	C₂⁶	1	8	yes	—
897	C₂³	C₂⁶	1	2	yes	—
898	C₂³	C₂⁶	1	1	yes	characteristic
899	Q₈	—	2	32	no	—
900	Q₈	—	2	16	no	—
901	Q₈	—	2	16	no	—
902	Q₈	—	4	16	no	—
903	Q₈	—	4	32	no	—
904	D₄	—	2	32	no	—
905	D₄	—	2	32	no	—
906	D₄	—	2	32	no	—
907	D₄	—	2	32	no	—
908	D₄	—	2	32	no	—
909	D₄	—	2	16	no	—
910	D₄	—	2	16	no	—
911	D₄	—	4	32	no	—
912	D₄	—	4	32	no	—
913	D₄	—	4	32	no	—
914	D₄	—	4	32	no	—
915	D₄	—	4	32	no	—
916	D₄	—	4	32	no	—
917	D₄	—	4	64	no	—
918	D₄	—	4	32	no	—
919	D₄	—	4	32	no	—
920	D₄	—	4	64	no	—
921	D₄	—	4	64	no	—
922	D₄	—	4	64	no	—
923	D₄	—	4	64	no	—
924	D₄	—	4	16	no	—
925	C₂×C₄	—	2	8	no	—
926	C₂×C₄	—	2	4	no	—
927	C₂×C₄	—	2	8	no	—
928	C₂×C₄	—	2	8	no	—
929	C₂×C₄	—	2	8	no	—
930	C₂×C₄	—	2	16	no	—
931	C₂×C₄	—	2	16	no	—
932	C₂×C₄	—	2	8	no	—
933	C₂×C₄	—	2	16	no	—
934	C₂×C₄	—	2	8	no	—
935	C₂×C₄	—	2	32	no	—
936	C₂×C₄	—	2	32	no	—
937	C₂×C₄	—	2	32	no	—
938	C₂×C₄	—	4	32	no	—
939	C₂×C₄	—	4	16	no	—
940	C₂×C₄	—	4	32	no	—
941	C₂×C₄	—	4	32	no	—
942	C₂×C₄	—	4	16	no	—
943	C₂×C₄	—	4	64	no	—
944	C₂×C₄	—	4	32	no	—
945	C₂×C₄	—	4	32	no	—
946	C₂×C₄	—	4	32	no	—
947	C₂×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
948	C₂×C₄	C₂×H(5,𝔽₂)	1	16	yes	—
949	C₂×C₄	C₂⁶	1	8	yes	—
950	C₂×C₄	C₂⁶	1	16	yes	—
951	C₂×C₄	C₂⁶	1	8	yes	—
952	C₂×C₄	C₂⁶	1	16	yes	—
953	C₂×C₄	C₂⁶	1	8	yes	—
954	C₂×C₄	C₂⁶	1	8	yes	—
955	C₂×C₄	C₂⁶	1	8	yes	—
956	C₂×C₄	C₂⁶	1	4	yes	—
957	C₂×C₄	C₂⁶	1	4	yes	—
958	C₂²	—	2	4	no	—
959	C₂²	—	2	8	no	—
960	C₂²	—	2	4	no	—
961	C₂²	—	2	8	no	—
962	C₂²	—	2	8	no	—
963	C₂²	—	2	8	no	—
964	C₂²	—	2	16	no	—
965	C₂²	—	2	16	no	—
966	C₂²	—	2	16	no	—
967	C₂²	—	2	32	no	—
968	C₂²	—	2	16	no	—
969	C₂²	—	2	8	no	—
970	C₂²	—	4	16	no	—
971	C₂²	—	4	8	no	—
972	C₂²	—	4	32	no	—
973	C₂²	—	4	16	no	—
974	C₂²	—	4	16	no	—
975	C₂²	—	4	16	no	—
976	C₂²	—	8	16	no	—
977	C₂²	—	8	32	no	—
978	C₂²	—	8	64	no	—
979	C₂²	—	16	32	no	—
980	C₂²	—	16	16	no	—
981	C₂²	C₂²×H(5,𝔽₂)	1	4	yes	—
982	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
983	C₂²	H(7,𝔽₂)	1	4	yes	—
984	C₂²	C₂⁷	1	1	yes	characteristic
985	C₄	—	2	4	no	—
986	C₄	—	2	8	no	—
987	C₄	—	2	8	no	—
988	C₄	—	2	8	no	—
989	C₄	—	2	16	no	—
990	C₄	—	2	8	no	—
991	C₄	—	2	16	no	—
992	C₄	—	2	8	no	—
993	C₄	C₂²×H(5,𝔽₂)	1	8	yes	—
994	C₂	—	2	4	no	—
995	C₂	—	4	4	no	—
996	C₂	—	4	16	no	—
997	C₂	—	4	8	no	—
998	C₂	—	4	8	no	—
999	C₂	—	4	8	no	—
1000	C₂	#62876	1	4	yes	direct product factor
1001	C₂	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1002	C₂	C₂×H(7,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, socle	C₂³	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁷
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62876	C₂	direct (N × H)
2. C₂×#3510	C₂	semidirect
3. C₂×#3500	C₂	semidirect
4. C₂×#3508	C₂	semidirect
5. C₂×#3498	C₂	semidirect
6. C₂×#3487	C₂	semidirect
7. C₂×#3485	C₂	semidirect
8. C₂×#3484	C₂	semidirect
9. C₂×#3546	C₂	semidirect
10. C₂×#3543	C₂	semidirect
11. C₂×#3562	C₂	semidirect
12. C₂×#3558	C₂	semidirect
13. C₂×#3534	C₂	semidirect
14. C₂×#3532	C₂	semidirect
15. C₂×#3455	C₂	semidirect
16. C₂²×#535	C₂	semidirect
17. C₂²×2₋¹⁺⁴	C₂²	semidirect
18. C₂²×H(5,𝔽₂)	C₂²	semidirect
19. C₂²×H(5,𝔽₂)	C₂²	semidirect
20. C₂³×#41	C₂²	semidirect
21. C₂⁴×D₄	C₂²	semidirect
22. #3562	C₂²	semidirect
23. #3558	C₂²	semidirect
24. #3546	C₂²	semidirect
25. #3543	C₂²	semidirect
26. #3534	C₂²	semidirect
27. #3532	C₂²	semidirect
28. C₂×#562	C₂²	semidirect
29. C₂×H(3,𝔽₄)	C₂²	semidirect
30. C₂×#560	C₂²	semidirect
31. C₂×#560	C₂²	semidirect
32. C₂×#560	C₂²	semidirect
33. #3510	C₂²	semidirect
34. #3508	C₂²	semidirect
35. #3500	C₂²	semidirect
36. #3498	C₂²	semidirect
37. #3487	C₂²	semidirect
38. #3485	C₂²	semidirect
39. #3484	C₂²	semidirect
40. C₂×#559	C₂²	semidirect
41. C₂×#559	C₂²	semidirect
42. C₂×#556	C₂²	semidirect
43. C₂×#553	C₂²	semidirect
44. C₂×#551	C₂²	semidirect
45. C₂×#551	C₂²	semidirect
46. C₂×#550	C₂²	semidirect
47. C₂×#550	C₂²	semidirect
48. C₂×#550	C₂²	semidirect
49. C₂×#548	C₂²	semidirect
50. C₂×#548	C₂²	semidirect
51. C₂×#547	C₂²	semidirect
52. C₂×#546	C₂²	semidirect
53. C₂×#546	C₂²	semidirect
54. C₂×#546	C₂²	semidirect
55. C₂×#546	C₂²	semidirect
56. C₂×#546	C₂²	semidirect
57. C₂×#546	C₂²	semidirect
58. C₂×#546	C₂²	semidirect
59. C₂×#546	C₂²	semidirect
60. C₂×D₄²	C₂²	semidirect
61. C₂×D₄²	C₂²	semidirect
62. C₂×D₄²	C₂²	semidirect
63. C₂×D₄²	C₂²	semidirect
64. C₂×D₄²	C₂²	semidirect
65. #3455	C₂²	semidirect
66. C₂×#542	C₂²	semidirect
67. C₂×#542	C₂²	semidirect
68. C₂×#542	C₂²	semidirect
69. C₂×#541	C₂²	semidirect
70. C₂×#540	C₂²	semidirect
71. C₂×#540	C₂²	semidirect
72. C₂×#540	C₂²	semidirect
73. C₂×#539	C₂²	semidirect
74. C₂×#539	C₂²	semidirect
75. C₂×#538	C₂²	semidirect
76. C₂×#538	C₂²	semidirect
77. C₂×#538	C₂²	semidirect
78. C₂×#538	C₂²	semidirect
79. C₂×#538	C₂²	semidirect
80. C₂×#537	C₂²	semidirect
81. C₂×#536	C₂²	semidirect
82. C₂×#536	C₂²	semidirect
84. C₂×#535	C₂²	semidirect
85. C₂×#535	C₂²	semidirect
86. C₂×#535	C₂²	semidirect
87. C₂×#535	C₂²	semidirect
88. C₂×#535	C₂²	semidirect
89. C₂×#535	C₂²	semidirect
90. C₂×#535	C₂²	semidirect
91. C₂×#535	C₂²	semidirect
92. C₂×#535	C₂²	semidirect
93. C₂×#535	C₂²	semidirect
94. C₂×#534	C₂²	semidirect
95. C₂×#534	C₂²	semidirect
96. C₂×#534	C₂²	semidirect
97. C₂×#534	C₂²	semidirect
98. C₂×#533	C₂²	semidirect
99. C₂×#532	C₂²	semidirect
100. C₂×#532	C₂²	semidirect
101. C₂×#532	C₂²	semidirect
102. C₂×#532	C₂²	semidirect
103. C₂²×#127	C₂²	semidirect
104. C₂²×#127	C₂²	semidirect
105. C₂×#529	C₂²	semidirect
106. C₂×#529	C₂²	semidirect
107. C₂×#529	C₂²	semidirect
108. C₂²×#124	C₂²	semidirect
109. C₂²×#124	C₂²	semidirect
110. C₂×#525	C₂²	semidirect
111. C₂×#525	C₂²	semidirect
112. C₂×#525	C₂²	semidirect
113. C₂²×#123	C₂²	semidirect
114. C₂²×#121	C₂²	semidirect
115. C₂²×#120	C₂²	semidirect
116. C₂²×#120	C₂²	semidirect
117. C₂×#519	C₂²	semidirect
118. C₂×#518	C₂²	semidirect
119. C₂×#518	C₂²	semidirect
120. C₂×C₄×#41	C₂²	semidirect
121. C₂×C₄×#41	C₂²	semidirect
122. C₂²×#117	C₂²	semidirect
125. C₂×2₋¹⁺⁴	C₂³	semidirect
128. C₂×H(5,𝔽₂)	C₂³	semidirect
129. C₂×H(5,𝔽₂)	C₂³	semidirect
137. C₂²×#41	C₂³	semidirect
138. C₂²×#41	C₂³	semidirect
139. C₂²×#41	C₂³	semidirect
140. C₂²×#41	C₂³	semidirect
142. C₂³×Q₈	C₂³	semidirect
155. C₂³×D₄	C₂³	semidirect
156. C₂³×D₄	C₂³	semidirect
157. C₂³×D₄	C₂³	semidirect
160. #562	C₂³	semidirect
161. H(3,𝔽₄)	C₂³	semidirect
162. #560	C₂³	semidirect
163. #560	C₂³	semidirect
164. #560	C₂³	semidirect
165. #559	C₂³	semidirect
166. #559	C₂³	semidirect
167. #556	C₂³	semidirect
168. #553	C₂³	semidirect
169. #551	C₂³	semidirect
170. #551	C₂³	semidirect
171. #550	C₂³	semidirect
172. #550	C₂³	semidirect
173. #550	C₂³	semidirect
174. #548	C₂³	semidirect
175. #548	C₂³	semidirect
176. #547	C₂³	semidirect
177. #546	C₂³	semidirect
178. #546	C₂³	semidirect
179. #546	C₂³	semidirect
180. #546	C₂³	semidirect
181. #546	C₂³	semidirect
182. #546	C₂³	semidirect
183. #546	C₂³	semidirect
184. #546	C₂³	semidirect
185. D₄²	C₂³	semidirect
186. D₄²	C₂³	semidirect
187. D₄²	C₂³	semidirect
188. D₄²	C₂³	semidirect
189. D₄²	C₂³	semidirect
190. #542	C₂³	semidirect
191. #542	C₂³	semidirect
192. #542	C₂³	semidirect
193. #541	C₂³	semidirect
194. #540	C₂³	semidirect
195. #540	C₂³	semidirect
196. #540	C₂³	semidirect
197. #539	C₂³	semidirect
198. #539	C₂³	semidirect
199. #538	C₂³	semidirect
200. #538	C₂³	semidirect
201. #538	C₂³	semidirect
202. #538	C₂³	semidirect
203. #538	C₂³	semidirect
204. #537	C₂³	semidirect
205. #536	C₂³	semidirect
206. #536	C₂³	semidirect
208. #535	C₂³	semidirect
209. #535	C₂³	semidirect
210. #535	C₂³	semidirect
211. #535	C₂³	semidirect
212. #535	C₂³	semidirect
213. #535	C₂³	semidirect
214. #535	C₂³	semidirect
215. #535	C₂³	semidirect
216. #535	C₂³	semidirect
217. #534	C₂³	semidirect
218. #534	C₂³	semidirect
219. #534	C₂³	semidirect
220. #534	C₂³	semidirect
221. #533	C₂³	semidirect
222. #532	C₂³	semidirect
223. #532	C₂³	semidirect
224. #532	C₂³	semidirect
225. #532	C₂³	semidirect
226. C₂×C₄⋊Q₈	C₂³	semidirect
227. C₂×C₄⋊Q₈	C₂³	semidirect
228. C₂×C₄⋊Q₈	C₂³	semidirect
235. C₂×#127	C₂³	semidirect
236. C₂×#127	C₂³	semidirect
237. C₂×#127	C₂³	semidirect
238. C₂×#127	C₂³	semidirect
239. C₂×#127	C₂³	semidirect
240. #529	C₂³	semidirect
241. #529	C₂³	semidirect
242. #529	C₂³	semidirect
245. C₂×#126	C₂³	semidirect
246. C₂×#126	C₂³	semidirect
247. C₂×#126	C₂³	semidirect
248. C₂×#126	C₂³	semidirect
249. C₂×#125	C₂³	semidirect
250. C₂×#125	C₂³	semidirect
251. C₂×#125	C₂³	semidirect
260. C₂×#124	C₂³	semidirect
261. C₂×#124	C₂³	semidirect
262. C₂×#124	C₂³	semidirect
263. C₂×#124	C₂³	semidirect
264. C₂×#124	C₂³	semidirect
265. C₂×#124	C₂³	semidirect
266. C₂×#124	C₂³	semidirect
267. C₂×#124	C₂³	semidirect
268. C₂×#124	C₂³	semidirect
269. #525	C₂³	semidirect
270. #525	C₂³	semidirect
271. #525	C₂³	semidirect
279. C₂×#123	C₂³	semidirect
280. C₂×#123	C₂³	semidirect
281. C₂×#123	C₂³	semidirect
282. C₂×#123	C₂³	semidirect
283. C₂×#123	C₂³	semidirect
284. C₂×#123	C₂³	semidirect
285. C₂×#123	C₂³	semidirect
286. C₂×#123	C₂³	semidirect
287. C₂×#123	C₂³	semidirect
291. C₂×C₂²⋊Q₈	C₂³	semidirect
292. C₂×C₂²⋊Q₈	C₂³	semidirect
293. C₂×C₂²⋊Q₈	C₂³	semidirect
294. C₂×C₂²⋊Q₈	C₂³	semidirect
295. C₂×C₂²⋊Q₈	C₂³	semidirect
296. C₂×C₂²⋊Q₈	C₂³	semidirect
311. C₂×#121	C₂³	semidirect
312. C₂×#121	C₂³	semidirect
313. C₂×#121	C₂³	semidirect
314. C₂×#121	C₂³	semidirect
315. C₂×#121	C₂³	semidirect
316. C₂×#121	C₂³	semidirect
317. C₂×#121	C₂³	semidirect
318. C₂×#121	C₂³	semidirect
319. C₂×#121	C₂³	semidirect
320. C₂×#121	C₂³	semidirect
321. C₂×#121	C₂³	semidirect
334. C₂×#120	C₂³	semidirect
335. C₂×#120	C₂³	semidirect
336. C₂×#120	C₂³	semidirect
337. C₂×#120	C₂³	semidirect
338. C₂×#120	C₂³	semidirect
339. #519	C₂³	semidirect
340. #518	C₂³	semidirect
341. #518	C₂³	semidirect
342. C₄×#41	C₂³	semidirect
343. C₄×#41	C₂³	semidirect
344. C₂×C₄×Q₈	C₂³	semidirect
345. C₂×C₄×Q₈	C₂³	semidirect
346. C₂×C₄×Q₈	C₂³	semidirect
347. C₂×C₄×Q₈	C₂³	semidirect
354. C₂×C₄×D₄	C₂³	semidirect
355. C₂×C₄×D₄	C₂³	semidirect
356. C₂×C₄×D₄	C₂³	semidirect
357. C₂×C₄×D₄	C₂³	semidirect
358. C₂×C₄×D₄	C₂³	semidirect
359. C₂×C₄×D₄	C₂³	semidirect
360. C₂×C₄×D₄	C₂³	semidirect
361. C₂×C₄×D₄	C₂³	semidirect
362. C₂×C₄×D₄	C₂³	semidirect
368. C₂×#117	C₂³	semidirect
369. C₂×#117	C₂³	semidirect
370. C₂×#117	C₂³	semidirect
371. C₂×#117	C₂³	semidirect
373. C₂²×C₄⋊C₄	C₂³	semidirect
379. C₂²×C₂²⋊C₄	C₂³	semidirect
380. C₂²×C₂²⋊C₄	C₂³	semidirect
382. C₂²×C₄²	C₂³	semidirect
383. C₂²×C₄²	C₂³	semidirect
412. C₂×#41	C₂⁴	semidirect
413. C₂×#41	C₂⁴	semidirect
414. C₂×#41	C₂⁴	semidirect
423. C₂²×Q₈	C₂⁴	semidirect
470. C₂²×D₄	C₂⁴	semidirect
471. C₂²×D₄	C₂⁴	semidirect
491. C₄⋊Q₈	C₂⁴	semidirect
492. C₄⋊Q₈	C₂⁴	semidirect
493. C₄⋊Q₈	C₂⁴	semidirect
500. #127	C₂⁴	semidirect
501. #127	C₂⁴	semidirect
502. #127	C₂⁴	semidirect
505. #126	C₂⁴	semidirect
506. #126	C₂⁴	semidirect
507. #126	C₂⁴	semidirect
508. #126	C₂⁴	semidirect
509. #125	C₂⁴	semidirect
510. #125	C₂⁴	semidirect
511. #125	C₂⁴	semidirect
520. #124	C₂⁴	semidirect
521. #124	C₂⁴	semidirect
522. #124	C₂⁴	semidirect
523. #124	C₂⁴	semidirect
524. #124	C₂⁴	semidirect
525. #124	C₂⁴	semidirect
526. #124	C₂⁴	semidirect
534. #123	C₂⁴	semidirect
535. #123	C₂⁴	semidirect
536. #123	C₂⁴	semidirect
537. #123	C₂⁴	semidirect
538. #123	C₂⁴	semidirect
539. #123	C₂⁴	semidirect
540. #123	C₂⁴	semidirect
541. #123	C₂⁴	semidirect
545. C₂²⋊Q₈	C₂⁴	semidirect
546. C₂²⋊Q₈	C₂⁴	semidirect
547. C₂²⋊Q₈	C₂⁴	semidirect
548. C₂²⋊Q₈	C₂⁴	semidirect
549. C₂²⋊Q₈	C₂⁴	semidirect
550. C₂²⋊Q₈	C₂⁴	semidirect
565. #121	C₂⁴	semidirect
566. #121	C₂⁴	semidirect
567. #121	C₂⁴	semidirect
568. #121	C₂⁴	semidirect
569. #121	C₂⁴	semidirect
570. #121	C₂⁴	semidirect
571. #121	C₂⁴	semidirect
572. #121	C₂⁴	semidirect
573. #121	C₂⁴	semidirect
574. #121	C₂⁴	semidirect
587. #120	C₂⁴	semidirect
588. #120	C₂⁴	semidirect
589. #120	C₂⁴	semidirect
590. C₄×Q₈	C₂⁴	semidirect
591. C₄×Q₈	C₂⁴	semidirect
592. C₄×Q₈	C₂⁴	semidirect
593. C₄×Q₈	C₂⁴	semidirect
600. C₄×D₄	C₂⁴	semidirect
601. C₄×D₄	C₂⁴	semidirect
602. C₄×D₄	C₂⁴	semidirect
603. C₄×D₄	C₂⁴	semidirect
604. C₄×D₄	C₂⁴	semidirect
605. C₄×D₄	C₂⁴	semidirect
606. C₄×D₄	C₂⁴	semidirect
607. C₄×D₄	C₂⁴	semidirect
608. C₄×D₄	C₂⁴	semidirect
614. #117	C₂⁴	semidirect
615. #117	C₂⁴	semidirect
616. #117	C₂⁴	semidirect
633. C₂×C₄⋊C₄	C₂⁴	semidirect
660. C₂×C₂²⋊C₄	C₂⁴	semidirect
661. C₂×C₂²⋊C₄	C₂⁴	semidirect
671. C₂×C₄²	C₂⁴	semidirect
672. C₂×C₄²	C₂⁴	semidirect
1000. C₂	#62876	direct (N × H)

Maximal subgroups

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

subgroup	index
#62876	2
C₂×#3510	2
C₂×#3500	2
C₂×#3508	2
C₂×#3498	2
C₂×#3487	2
C₂×#3485	2
C₂×#3484	2
C₂×#3546	2
C₂×#3543	2
C₂×#3562	2
C₂×#3558	2
C₂×#3534	2
C₂×#3532	2
C₂×#3455	2
C₂²×#535	2

Subgroups — C2×#62876 #10586210

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#62876 #10586210