Subgroups — C₂²×#62880 #72299720

Order 1024.

478053 conjugacy classes of subgroups.

The subgroup lattice has 1422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#62880	C₂	1	192	yes	maximal, direct product factor
2	C₂²×#3543	C₂	1	8	yes	maximal, complemented
3	C₂²×#3562	C₂	1	8	yes	maximal, complemented
4	C₂²×#3539	C₂	1	4	yes	maximal, complemented
5	C₂²×#3537	C₂	1	4	yes	maximal, complemented
6	C₂²×#3537	C₂	1	8	yes	maximal, complemented
7	C₂²×#3534	C₂	1	8	yes	maximal, complemented
8	C₂²×#3542	C₂	1	8	yes	maximal, complemented
9	C₂²×#3512	C₂	1	2	yes	maximal, complemented
10	C₂²×#3498	C₂	1	2	yes	maximal, complemented
11	C₂²×#3488	C₂	1	4	yes	maximal, complemented
12	C₂²×#3506	C₂	1	2	yes	maximal, complemented
13	C₂²×#3496	C₂	1	2	yes	maximal, complemented
14	C₂²×#3455	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂²×#3449	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×#540	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂³×H(5,𝔽₂)	C₂²	1	4	yes	complemented
18	C₂⁴×#41	C₂²	1	2	yes	complemented
19	#62880	C₂²	1	4096	yes	direct product factor
20	C₂×#3512	C₂²	1	192	yes	complemented
21	C₂×#3498	C₂²	1	192	yes	complemented
22	C₂×#3488	C₂²	1	384	yes	complemented
23	C₂×#3506	C₂²	1	192	yes	complemented
24	C₂×#3496	C₂²	1	192	yes	complemented
25	C₂×#3543	C₂²	1	768	yes	complemented
26	C₂×#3562	C₂²	1	768	yes	complemented
27	C₂×#3539	C₂²	1	384	yes	complemented
28	C₂×#3537	C₂²	1	768	yes	complemented
29	C₂×#3537	C₂²	1	384	yes	complemented
30	C₂×#3534	C₂²	1	768	yes	complemented
31	C₂×#3542	C₂²	1	768	yes	complemented
32	C₂²×#559	C₂²	1	8	yes	complemented
33	C₂²×#555	C₂²	1	4	yes	complemented
34	C₂²×#556	C₂²	1	4	yes	complemented
35	C₂²×#553	C₂²	1	8	yes	complemented
36	C₂²×#553	C₂²	1	16	yes	complemented
37	C₂²×#553	C₂²	1	16	yes	complemented
38	C₂²×#553	C₂²	1	8	yes	complemented
39	C₂²×#552	C₂²	1	8	yes	complemented
40	C₂²×#551	C₂²	1	16	yes	complemented
41	C₂²×#550	C₂²	1	8	yes	complemented
42	C₂²×#550	C₂²	1	8	yes	complemented
43	C₂²×#550	C₂²	1	4	yes	complemented
44	C₂²×#547	C₂²	1	4	yes	complemented
45	C₂²×#547	C₂²	1	4	yes	complemented
46	C₂²×#547	C₂²	1	4	yes	complemented
47	C₂²×#548	C₂²	1	8	yes	complemented
48	C₂²×#546	C₂²	1	8	yes	complemented
49	C₂²×#546	C₂²	1	16	yes	complemented
50	C₂²×#546	C₂²	1	16	yes	complemented
51	C₂²×#546	C₂²	1	8	yes	complemented
52	C₂²×#546	C₂²	1	8	yes	complemented
53	C₂²×D₄²	C₂²	1	8	yes	complemented
54	C₂²×D₄²	C₂²	1	16	yes	complemented
55	C₂²×D₄²	C₂²	1	16	yes	complemented
56	C₂²×D₄²	C₂²	1	4	yes	complemented
57	C₂²×D₄²	C₂²	1	16	yes	complemented
58	C₂²×D₄²	C₂²	1	4	yes	complemented
59	C₂²×D₄²	C₂²	1	8	yes	complemented
60	C₂²×#562	C₂²	1	16	yes	complemented
61	C₂²×#560	C₂²	1	16	yes	complemented
62	C₂²×#560	C₂²	1	16	yes	complemented
63	C₂²×#560	C₂²	1	16	yes	complemented
64	C₂×#3455	C₂²	1	96	yes	complemented
65	C₂×#3449	C₂²	1	96	yes	complemented
66	C₂²×#541	C₂²	1	2	yes	complemented
67	C₂²×#541	C₂²	1	4	yes	complemented
68	C₂²×#536	C₂²	1	4	yes	complemented
69	C₂²×#542	C₂²	1	4	yes	complemented
70	C₂²×#540	C₂²	1	4	yes	complemented
71	C₂²×#540	C₂²	1	16	yes	complemented
72	C₂²×#540	C₂²	1	16	yes	complemented
73	C₂²×#540	C₂²	1	2	yes	complemented
74	C₂²×#540	C₂²	1	4	yes	complemented
75	C₂²×#540	C₂²	1	8	yes	complemented
76	C₂²×#540	C₂²	1	4	yes	complemented
77	C₂²×#540	C₂²	1	96	yes	complemented
78	C₂²×#537	C₂²	1	8	yes	complemented
79	C₂²×#537	C₂²	1	4	yes	complemented
80	C₂²×#537	C₂²	1	4	yes	complemented
81	C₂²×#535	C₂²	1	16	yes	complemented
82	C₂²×#535	C₂²	1	8	yes	complemented
83	C₂²×#535	C₂²	1	8	yes	complemented
84	C₂²×#535	C₂²	1	4	yes	complemented
85	C₂²×#535	C₂²	1	4	yes	complemented
86	C₂²×#539	C₂²	1	4	yes	complemented
87	C₂²×#539	C₂²	1	16	yes	complemented
88	C₂²×#538	C₂²	1	16	yes	complemented
89	C₂²×#538	C₂²	1	16	yes	complemented
90	C₂²×#538	C₂²	1	8	yes	complemented
91	C₂²×#538	C₂²	1	4	yes	complemented
92	C₂²×#534	C₂²	1	16	yes	complemented
93	C₂²×#534	C₂²	1	16	yes	complemented
94	C₂²×#534	C₂²	1	8	yes	complemented
95	C₂²×#534	C₂²	1	4	yes	complemented
96	C₂²×#533	C₂²	1	1	yes	characteristic, complemented
97	C₂²×#532	C₂²	1	4	yes	complemented
98	C₂²×#532	C₂²	1	2	yes	complemented
99	C₂²×#532	C₂²	1	2	yes	complemented
100	C₂²×#532	C₂²	1	1	yes	characteristic, complemented
101	C₂³×#127	C₂²	1	4	yes	complemented
102	C₂³×#127	C₂²	1	1	yes	characteristic, complemented
103	C₂²×#529	C₂²	1	8	yes	complemented
104	C₂²×#529	C₂²	1	8	yes	complemented
105	C₂³×#125	C₂²	1	1	yes	characteristic, complemented
106	C₂²×#525	C₂²	1	4	yes	complemented
107	C₂²×#525	C₂²	1	8	yes	complemented
108	C₂²×#525	C₂²	1	8	yes	complemented
109	C₂²×#525	C₂²	1	4	yes	complemented
110	C₂²×#525	C₂²	1	2	yes	complemented
111	C₂³×#123	C₂²	1	4	yes	complemented
112	C₂³×#121	C₂²	1	8	yes	complemented
113	C₂³×#121	C₂²	1	8	yes	complemented
114	C₂³×#121	C₂²	1	4	yes	complemented
115	C₂³×#121	C₂²	1	2	yes	complemented
116	C₂²×#520	C₂²	1	4	yes	complemented
117	C₂²×C₄×#41	C₂²	1	2	yes	complemented
118	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
119	C₂³×#117	C₂²	1	1	yes	characteristic, complemented
120	C₂²×H(5,𝔽₂)	—	4	64	no	—
121	C₂²×H(5,𝔽₂)	C₂³	1	192	yes	complemented
122	C₂³×#41	—	4	32	no	—
123	C₂³×#41	C₂³	1	4	yes	—
124	C₂³×#41	C₂³	1	2	yes	—
125	C₂³×#41	C₂³	1	4	yes	—
126	C₂³×#41	C₂³	1	4	yes	—
127	C₂³×#41	C₂³	1	4	yes	—
128	C₂³×#41	C₂³	1	8	yes	—
129	C₂³×#41	C₂³	1	8	yes	—
130	C₂³×#41	C₂³	1	8	yes	—
131	C₂³×#41	C₂³	1	96	yes	complemented
132	C₂⁴×Q₈	C₂³	1	2	yes	—
133	C₂⁴×D₄	C₂³	1	2	yes	—
134	C₂⁴×D₄	C₂³	1	4	yes	—
135	C₂⁴×D₄	C₂³	1	2	yes	—
136	C₂⁴×D₄	C₂³	1	16	yes	—
137	C₂⁴×D₄	C₂³	1	8	yes	—
138	C₂⁴×D₄	C₂³	1	8	yes	—
139	C₂⁴×D₄	C₂³	1	4	yes	—
140	C₂⁴×D₄	C₂³	1	4	yes	—
141	C₂⁴×D₄	C₂³	1	8	yes	—
142	C₂⁴×D₄	C₂³	1	16	yes	—
143	C₂⁴×D₄	C₂³	1	16	yes	—
144	C₂⁵×C₄	C₂³	1	1	yes	characteristic
145	C₂⁵×C₄	C₂³	1	4	yes	—
146	C₂⁵×C₄	C₂³	1	4	yes	—
147	#3562	C₂³	1	8192	yes	complemented
148	#3543	C₂³	1	8192	yes	complemented
149	#3542	C₂³	1	8192	yes	complemented
150	#3539	C₂³	1	4096	yes	complemented
151	#3537	C₂³	1	8192	yes	complemented
152	#3537	C₂³	1	4096	yes	complemented
153	#3534	C₂³	1	8192	yes	complemented
154	C₂×#562	C₂³	1	768	yes	complemented
155	C₂×#560	C₂³	1	768	yes	complemented
156	C₂×#560	C₂³	1	768	yes	complemented
157	C₂×#560	C₂³	1	768	yes	complemented
158	#3512	C₂³	1	2048	yes	complemented
159	#3506	C₂³	1	2048	yes	complemented
160	#3498	C₂³	1	2048	yes	complemented
161	#3496	C₂³	1	2048	yes	complemented
162	#3488	C₂³	1	4096	yes	complemented
163	C₂×#559	C₂³	1	384	yes	complemented
164	C₂×#556	C₂³	1	192	yes	complemented
165	C₂×#555	C₂³	1	192	yes	complemented
166	C₂×#553	C₂³	1	768	yes	complemented
167	C₂×#553	C₂³	1	768	yes	complemented
168	C₂×#553	C₂³	1	384	yes	complemented
169	C₂×#553	C₂³	1	384	yes	complemented
170	C₂×#552	C₂³	1	384	yes	complemented
171	C₂×#551	C₂³	1	768	yes	complemented
172	C₂×#550	C₂³	1	384	yes	complemented
173	C₂×#550	C₂³	1	384	yes	complemented
174	C₂×#550	C₂³	1	192	yes	complemented
175	C₂×#548	C₂³	1	384	yes	complemented
176	C₂×#547	C₂³	1	192	yes	complemented
177	C₂×#547	C₂³	1	192	yes	complemented
178	C₂×#547	C₂³	1	192	yes	complemented
179	C₂×#546	C₂³	1	768	yes	complemented
180	C₂×#546	C₂³	1	768	yes	complemented
181	C₂×#546	C₂³	1	384	yes	complemented
182	C₂×#546	C₂³	1	384	yes	complemented
183	C₂×#546	C₂³	1	384	yes	complemented
184	C₂×D₄²	C₂³	1	768	yes	complemented
185	C₂×D₄²	C₂³	1	768	yes	complemented
186	C₂×D₄²	C₂³	1	192	yes	complemented
187	C₂×D₄²	C₂³	1	768	yes	complemented
188	C₂×D₄²	C₂³	1	384	yes	complemented
189	C₂×D₄²	C₂³	1	192	yes	complemented
190	C₂×D₄²	C₂³	1	384	yes	complemented
191	#3455	C₂³	1	1024	yes	complemented
192	C₂×#542	C₂³	1	192	yes	complemented
193	C₂×#541	C₂³	1	96	yes	complemented
194	C₂×#541	C₂³	1	192	yes	complemented
195	C₂×#540	C₂³	1	768	yes	complemented
196	C₂×#540	C₂³	1	96	yes	complemented
197	C₂×#540	C₂³	1	192	yes	complemented
198	C₂×#540	C₂³	1	768	yes	complemented
199	C₂×#540	C₂³	1	384	yes	complemented
200	C₂×#540	C₂³	1	192	yes	complemented
201	C₂×#540	C₂³	1	192	yes	complemented
202	C₂×#540	C₂³	1	1024	yes	complemented
203	C₂×#539	C₂³	1	192	yes	complemented
204	C₂×#539	C₂³	1	768	yes	complemented
205	C₂×#538	C₂³	1	768	yes	complemented
206	C₂×#538	C₂³	1	384	yes	complemented
207	C₂×#538	C₂³	1	192	yes	complemented
208	C₂×#538	C₂³	1	768	yes	complemented
209	#3449	C₂³	1	1024	yes	complemented
210	C₂×#537	C₂³	1	192	yes	complemented
211	C₂×#537	C₂³	1	384	yes	complemented
212	C₂×#537	C₂³	1	192	yes	complemented
213	C₂×#536	C₂³	1	192	yes	complemented
214	C₂×#535	C₂³	1	768	yes	complemented
215	C₂×#535	C₂³	1	384	yes	complemented
216	C₂×#535	C₂³	1	384	yes	complemented
217	C₂×#535	C₂³	1	192	yes	complemented
218	C₂×#535	C₂³	1	192	yes	complemented
219	C₂×#534	C₂³	1	768	yes	complemented
220	C₂×#534	C₂³	1	384	yes	complemented
221	C₂×#534	C₂³	1	192	yes	complemented
222	C₂×#534	C₂³	1	768	yes	complemented
223	C₂×#533	C₂³	1	48	yes	complemented
224	C₂×#532	C₂³	1	192	yes	complemented
225	C₂×#532	C₂³	1	48	yes	complemented
226	C₂×#532	C₂³	1	96	yes	complemented
227	C₂×#532	C₂³	1	96	yes	complemented
228	C₂²×C₄⋊Q₈	C₂³	1	2	yes	—
229	C₂²×C₄⋊Q₈	C₂³	1	2	yes	—
230	C₂²×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₂²×C₄⋊Q₈	C₂³	1	2	yes	—
232	C₂²×#127	C₂³	1	2	yes	—
233	C₂²×#127	C₂³	1	4	yes	—
234	C₂²×#127	C₂³	1	8	yes	—
235	C₂²×#127	C₂³	1	16	yes	—
236	C₂²×#127	C₂³	1	4	yes	—
237	C₂²×#127	C₂³	1	2	yes	—
238	C₂²×#127	C₂³	1	1	yes	characteristic
239	C₂²×#127	C₂³	1	16	yes	—
240	C₂²×#127	C₂³	1	192	yes	complemented
241	C₂²×#127	C₂³	1	48	yes	complemented
242	C₂×#529	C₂³	1	384	yes	complemented
243	C₂×#529	C₂³	1	384	yes	complemented
244	C₂²×#126	C₂³	1	16	yes	—
245	C₂²×#126	C₂³	1	8	yes	—
246	C₂²×#126	C₂³	1	8	yes	—
247	C₂²×#126	C₂³	1	16	yes	—
248	C₂²×#126	C₂³	1	16	yes	—
249	C₂²×#125	C₂³	1	4	yes	—
250	C₂²×#125	C₂³	1	4	yes	—
251	C₂²×#125	C₂³	1	8	yes	—
252	C₂²×#125	C₂³	1	2	yes	—
253	C₂²×#125	C₂³	1	16	yes	—
254	C₂²×#125	C₂³	1	48	yes	complemented
255	C₂²×#124	C₂³	1	4	yes	—
256	C₂²×#124	C₂³	1	8	yes	—
257	C₂²×#124	C₂³	1	8	yes	—
258	C₂²×#124	C₂³	1	4	yes	—
259	C₂²×#124	C₂³	1	2	yes	—
260	C₂²×#124	C₂³	1	16	yes	—
261	C₂²×#124	C₂³	1	16	yes	—
262	C₂×#525	C₂³	1	384	yes	complemented
263	C₂×#525	C₂³	1	192	yes	complemented
264	C₂×#525	C₂³	1	384	yes	complemented
265	C₂×#525	C₂³	1	96	yes	complemented
266	C₂×#525	C₂³	1	192	yes	complemented
267	C₂²×#123	C₂³	1	16	yes	—
268	C₂²×#123	C₂³	1	16	yes	—
269	C₂²×#123	C₂³	1	8	yes	—
270	C₂²×#123	C₂³	1	16	yes	—
271	C₂²×#123	C₂³	1	8	yes	—
272	C₂²×#123	C₂³	1	4	yes	—
273	C₂²×#123	C₂³	1	16	yes	—
274	C₂²×#123	C₂³	1	8	yes	—
275	C₂²×#123	C₂³	1	8	yes	—
276	C₂²×#123	C₂³	1	16	yes	—
277	C₂²×#123	C₂³	1	16	yes	—
278	C₂²×#123	C₂³	1	16	yes	—
279	C₂²×#123	C₂³	1	16	yes	—
280	C₂²×#123	C₂³	1	16	yes	—
281	C₂²×#123	C₂³	1	192	yes	complemented
282	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	—
283	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	—
284	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
285	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
286	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
287	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
288	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
289	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
290	C₂²×C₂²⋊Q₈	C₂³	1	16	yes	—
291	C₂²×#121	C₂³	1	4	yes	—
292	C₂²×#121	C₂³	1	8	yes	—
293	C₂²×#121	C₂³	1	4	yes	—
294	C₂²×#121	C₂³	1	4	yes	—
295	C₂²×#121	C₂³	1	16	yes	—
296	C₂²×#121	C₂³	1	16	yes	—
297	C₂²×#121	C₂³	1	16	yes	—
298	C₂²×#121	C₂³	1	8	yes	—
299	C₂²×#121	C₂³	1	16	yes	—
300	C₂²×#121	C₂³	1	8	yes	—
301	C₂²×#121	C₂³	1	8	yes	—
302	C₂²×#121	C₂³	1	16	yes	—
303	C₂²×#121	C₂³	1	8	yes	—
304	C₂²×#121	C₂³	1	16	yes	—
305	C₂²×#121	C₂³	1	8	yes	—
306	C₂²×#121	C₂³	1	4	yes	—
307	C₂²×#121	C₂³	1	8	yes	—
308	C₂²×#121	C₂³	1	8	yes	—
309	C₂²×#121	C₂³	1	8	yes	—
310	C₂²×#121	C₂³	1	8	yes	—
311	C₂²×#121	C₂³	1	8	yes	—
312	C₂²×#121	C₂³	1	8	yes	—
313	C₂²×#121	C₂³	1	8	yes	—
314	C₂²×#121	C₂³	1	16	yes	—
315	C₂²×#121	C₂³	1	16	yes	—
316	C₂²×#121	C₂³	1	16	yes	—
317	C₂²×#121	C₂³	1	16	yes	—
318	C₂²×#121	C₂³	1	16	yes	—
319	C₂²×#121	C₂³	1	16	yes	—
320	C₂²×#121	C₂³	1	16	yes	—
321	C₂²×#121	C₂³	1	16	yes	—
322	C₂²×#121	C₂³	1	384	yes	complemented
323	C₂²×#121	C₂³	1	192	yes	complemented
324	C₂²×#121	C₂³	1	384	yes	complemented
325	C₂²×#121	C₂³	1	96	yes	complemented
326	C₂²×#120	C₂³	1	8	yes	—
327	C₂²×#120	C₂³	1	8	yes	—
328	C₂²×#120	C₂³	1	16	yes	—
329	C₂²×#120	C₂³	1	4	yes	—
330	C₂²×#120	C₂³	1	16	yes	—
331	C₂²×#120	C₂³	1	16	yes	—
332	C₂²×#120	C₂³	1	16	yes	—
333	C₂²×#120	C₂³	1	16	yes	—
334	C₂²×#120	C₂³	1	16	yes	—
335	C₂²×#120	C₂³	1	16	yes	—
336	C₂²×#120	C₂³	1	16	yes	—
337	C₂×#520	C₂³	1	192	yes	complemented
338	C₂×C₄×#41	C₂³	1	96	yes	complemented
339	C₂²×C₄×Q₈	C₂³	1	4	yes	—
340	C₂²×C₄×Q₈	C₂³	1	8	yes	—
341	C₂²×C₄×Q₈	C₂³	1	4	yes	—
342	C₂²×C₄×D₄	C₂³	1	4	yes	—
343	C₂²×C₄×D₄	C₂³	1	4	yes	—
344	C₂²×C₄×D₄	C₂³	1	4	yes	—
345	C₂²×C₄×D₄	C₂³	1	4	yes	—
346	C₂²×C₄×D₄	C₂³	1	8	yes	—
347	C₂²×C₄×D₄	C₂³	1	4	yes	—
348	C₂²×C₄×D₄	C₂³	1	16	yes	—
349	C₂²×C₄×D₄	C₂³	1	8	yes	—
350	C₂²×C₄×D₄	C₂³	1	4	yes	—
351	C₂²×C₄×D₄	C₂³	1	8	yes	—
352	C₂²×C₄×D₄	C₂³	1	4	yes	—
353	C₂²×C₄×D₄	C₂³	1	8	yes	—
354	C₂²×C₄×D₄	C₂³	1	16	yes	—
355	C₂²×C₄×D₄	C₂³	1	16	yes	—
356	C₂²×C₄×D₄	C₂³	1	16	yes	—
357	C₂²×C₄×D₄	C₂³	1	4	yes	—
358	C₂²×C₄×D₄	C₂³	1	16	yes	—
359	C₂²×C₄×D₄	C₂³	1	16	yes	—
360	C₂²×C₄×D₄	C₂³	1	96	yes	complemented
361	C₂²×#117	C₂³	1	2	yes	—
362	C₂²×#117	C₂³	1	2	yes	—
363	C₂²×#117	C₂³	1	4	yes	—
364	C₂²×#117	C₂³	1	2	yes	—
365	C₂²×#117	C₂³	1	4	yes	—
366	C₂²×#117	C₂³	1	8	yes	—
367	C₂²×#117	C₂³	1	8	yes	—
368	C₂²×#117	C₂³	1	16	yes	—
369	C₂²×#117	C₂³	1	48	yes	complemented
370	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
371	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
372	C₂³×C₄⋊C₄	C₂³	1	8	yes	—
373	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
374	C₂³×C₄⋊C₄	C₂³	1	8	yes	—
375	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
376	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
377	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
378	C₂³×C₂²⋊C₄	C₂³	1	16	yes	—
379	C₂³×C₂²⋊C₄	C₂³	1	16	yes	—
380	C₂³×C₄²	C₂³	1	1	yes	characteristic
381	C₂³×C₄²	C₂³	1	1	yes	characteristic
382	C₂³×C₄²	C₂³	1	4	yes	—
383	C₂⁶	C₂⁴	1	1	yes	characteristic
384	C₂⁶	C₂⁴	1	4	yes	—
385	C₂⁶	C₂⁴	1	4	yes	—
386	C₂⁶	C₂⁴	1	16	yes	—
387	C₂×H(5,𝔽₂)	—	4	1536	no	—
388	C₂×H(5,𝔽₂)	C₂⁴	1	1024	yes	complemented
389	C₂²×#41	—	2	64	no	—
390	C₂²×#41	—	2	32	no	—
391	C₂²×#41	—	4	32	no	—
392	C₂²×#41	—	4	32	no	—
393	C₂²×#41	—	4	32	no	—
394	C₂²×#41	—	4	64	no	—
395	C₂²×#41	—	4	64	no	—
396	C₂²×#41	—	4	768	no	—
397	C₂²×#41	—	8	32	no	—
398	C₂²×#41	C₂⁴	1	96	yes	—
399	C₂²×#41	C₂⁴	1	48	yes	—
400	C₂²×#41	C₂⁴	1	96	yes	—
401	C₂²×#41	C₂⁴	1	96	yes	—
402	C₂²×#41	C₂⁴	1	96	yes	—
403	C₂²×#41	C₂⁴	1	192	yes	—
404	C₂²×#41	C₂⁴	1	192	yes	—
405	C₂²×#41	C₂⁴	1	192	yes	—
406	C₂²×#41	C₂⁴	1	512	yes	complemented
407	C₂³×Q₈	—	4	16	no	—
408	C₂³×Q₈	C₂⁴	1	4	yes	—
409	C₂³×Q₈	C₂⁴	1	2	yes	—
410	C₂³×Q₈	C₂⁴	1	4	yes	—
411	C₂³×Q₈	C₂⁴	1	48	yes	—
412	C₂³×Q₈	C₂⁴	1	4	yes	—
413	C₂³×D₄	—	2	32	no	—
414	C₂³×D₄	—	4	16	no	—
415	C₂³×D₄	—	4	64	no	—
416	C₂³×D₄	—	4	64	no	—
417	C₂³×D₄	—	4	32	no	—
418	C₂³×D₄	—	4	128	no	—
419	C₂³×D₄	—	8	16	no	—
420	C₂³×D₄	—	8	32	no	—
421	C₂³×D₄	—	8	16	no	—
422	C₂³×D₄	—	8	64	no	—
423	C₂³×D₄	—	8	64	no	—
424	C₂³×D₄	C₂⁴	1	4	yes	—
425	C₂³×D₄	C₂⁴	1	2	yes	—
426	C₂³×D₄	C₂⁴	1	8	yes	—
427	C₂³×D₄	C₂⁴	1	4	yes	—
428	C₂³×D₄	C₂⁴	1	4	yes	—
429	C₂³×D₄	C₂⁴	1	4	yes	—
430	C₂³×D₄	C₂⁴	1	48	yes	—
431	C₂³×D₄	C₂⁴	1	16	yes	—
432	C₂³×D₄	C₂⁴	1	16	yes	—
433	C₂³×D₄	C₂⁴	1	4	yes	—
434	C₂³×D₄	C₂⁴	1	16	yes	—
435	C₂³×D₄	C₂⁴	1	8	yes	—
436	C₂³×D₄	C₂⁴	1	16	yes	—
437	C₂³×D₄	C₂⁴	1	4	yes	—
438	C₂³×D₄	C₂⁴	1	16	yes	—
439	C₂³×D₄	C₂⁴	1	16	yes	—
440	C₂³×D₄	C₂⁴	1	8	yes	—
441	C₂³×D₄	C₂⁴	1	4	yes	—
442	C₂³×D₄	C₂⁴	1	8	yes	—
443	C₂³×D₄	C₂⁴	1	16	yes	—
444	C₂³×D₄	C₂⁴	1	96	yes	—
445	C₂³×D₄	C₂⁴	1	48	yes	—
446	C₂³×D₄	C₂⁴	1	384	yes	—
447	C₂³×D₄	C₂⁴	1	192	yes	—
448	C₂³×D₄	C₂⁴	1	192	yes	—
449	C₂³×D₄	C₂⁴	1	4	yes	—
450	C₂³×D₄	C₂⁴	1	96	yes	—
451	C₂³×D₄	C₂⁴	1	96	yes	—
452	C₂³×D₄	C₂⁴	1	192	yes	—
453	C₂³×D₄	C₂⁴	1	384	yes	—
454	C₂³×D₄	C₂⁴	1	384	yes	—
455	C₂⁴×C₄	—	2	16	no	—
456	C₂⁴×C₄	—	4	32	no	—
457	C₂⁴×C₄	—	8	16	no	—
458	C₂⁴×C₄	C₂⁴	1	2	yes	—
459	C₂⁴×C₄	C₂⁴	1	2	yes	—
460	C₂⁴×C₄	C₂⁴	1	8	yes	—
461	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
462	C₂⁴×C₄	C₂⁴	1	24	yes	—
463	C₂⁴×C₄	C₂⁴	1	4	yes	—
464	C₂⁴×C₄	C₂⁴	1	2	yes	—
465	C₂⁴×C₄	C₂⁴	1	4	yes	—
466	C₂⁴×C₄	C₂⁴	1	4	yes	—
467	C₂⁴×C₄	C₂⁴	1	8	yes	—
468	C₂⁴×C₄	C₂⁴	1	8	yes	—
469	C₂⁴×C₄	C₂⁴	1	8	yes	—
470	C₂⁴×C₄	C₂⁴	1	96	yes	—
471	C₂⁴×C₄	C₂⁴	1	2	yes	—
472	C₂⁴×C₄	C₂⁴	1	8	yes	—
473	C₂⁴×C₄	C₂⁴	1	16	yes	—
474	C₂⁴×C₄	C₂⁴	1	16	yes	—
475	C₂⁴×C₄	C₂⁴	1	96	yes	—
476	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
477	#562	C₂⁴	1	4096	yes	complemented
478	#560	C₂⁴	1	4096	yes	complemented
479	#560	C₂⁴	1	4096	yes	complemented
480	#560	C₂⁴	1	4096	yes	complemented
481	#559	C₂⁴	1	2048	yes	complemented
482	#556	C₂⁴	1	1024	yes	complemented
483	#555	C₂⁴	1	1024	yes	complemented
484	#553	C₂⁴	1	2048	yes	complemented
485	#553	C₂⁴	1	4096	yes	complemented
486	#553	C₂⁴	1	2048	yes	complemented
487	#553	C₂⁴	1	4096	yes	complemented
488	#552	C₂⁴	1	2048	yes	complemented
489	#551	C₂⁴	1	4096	yes	complemented
490	#550	C₂⁴	1	2048	yes	complemented
491	#550	C₂⁴	1	2048	yes	complemented
492	#550	C₂⁴	1	1024	yes	complemented
493	#548	C₂⁴	1	2048	yes	complemented
494	#547	C₂⁴	1	1024	yes	complemented
495	#547	C₂⁴	1	1024	yes	complemented
496	#547	C₂⁴	1	1024	yes	complemented
497	#546	C₂⁴	1	4096	yes	complemented
498	#546	C₂⁴	1	2048	yes	complemented
499	#546	C₂⁴	1	2048	yes	complemented
500	#546	C₂⁴	1	2048	yes	complemented
501	#546	C₂⁴	1	4096	yes	complemented
502	D₄²	C₂⁴	1	4096	yes	complemented
503	D₄²	C₂⁴	1	2048	yes	complemented
504	D₄²	C₂⁴	1	1024	yes	complemented
505	D₄²	C₂⁴	1	1024	yes	complemented
506	D₄²	C₂⁴	1	4096	yes	complemented
507	D₄²	C₂⁴	1	2048	yes	complemented
508	D₄²	C₂⁴	1	4096	yes	complemented
509	#542	C₂⁴	1	1024	yes	complemented
510	#541	C₂⁴	1	512	yes	complemented
511	#541	C₂⁴	1	1024	yes	complemented
512	#540	C₂⁴	1	1024	yes	complemented
513	#540	C₂⁴	1	1024	yes	complemented
514	#540	C₂⁴	1	2048	yes	complemented
515	#540	C₂⁴	1	512	yes	complemented
516	#540	C₂⁴	1	1024	yes	complemented
517	#540	C₂⁴	1	4096	yes	complemented
518	#540	C₂⁴	1	4096	yes	complemented
519	#539	C₂⁴	1	1024	yes	complemented
520	#539	C₂⁴	1	4096	yes	complemented
521	#538	C₂⁴	1	1024	yes	complemented
522	#538	C₂⁴	1	2048	yes	complemented
523	#538	C₂⁴	1	4096	yes	complemented
524	#538	C₂⁴	1	4096	yes	complemented
525	#537	C₂⁴	1	1024	yes	complemented
526	#537	C₂⁴	1	1024	yes	complemented
527	#537	C₂⁴	1	2048	yes	complemented
528	#536	C₂⁴	1	1024	yes	complemented
529	#535	C₂⁴	1	1024	yes	complemented
530	#535	C₂⁴	1	1024	yes	complemented
531	#535	C₂⁴	1	2048	yes	complemented
532	#535	C₂⁴	1	2048	yes	complemented
533	#535	C₂⁴	1	4096	yes	complemented
534	#534	C₂⁴	1	1024	yes	complemented
535	#534	C₂⁴	1	2048	yes	complemented
536	#534	C₂⁴	1	4096	yes	complemented
537	#534	C₂⁴	1	4096	yes	complemented
538	#533	C₂⁴	1	256	yes	complemented
539	#532	C₂⁴	1	512	yes	complemented
540	#532	C₂⁴	1	512	yes	complemented
541	#532	C₂⁴	1	256	yes	complemented
542	#532	C₂⁴	1	1024	yes	complemented
543	C₂×C₄⋊Q₈	C₂⁴	1	48	yes	—
544	C₂×C₄⋊Q₈	C₂⁴	1	48	yes	—
545	C₂×C₄⋊Q₈	C₂⁴	1	24	yes	—
546	C₂×C₄⋊Q₈	C₂⁴	1	48	yes	—
547	C₂×#127	C₂⁴	1	48	yes	—
548	C₂×#127	C₂⁴	1	96	yes	—
549	C₂×#127	C₂⁴	1	192	yes	—
550	C₂×#127	C₂⁴	1	384	yes	—
551	C₂×#127	C₂⁴	1	96	yes	—
552	C₂×#127	C₂⁴	1	48	yes	—
553	C₂×#127	C₂⁴	1	24	yes	—
554	C₂×#127	C₂⁴	1	384	yes	—
555	C₂×#127	C₂⁴	1	256	yes	complemented
556	C₂×#127	C₂⁴	1	1024	yes	complemented
557	#529	C₂⁴	1	2048	yes	complemented
558	#529	C₂⁴	1	2048	yes	complemented
559	C₂×#126	C₂⁴	1	384	yes	—
560	C₂×#126	C₂⁴	1	192	yes	—
561	C₂×#126	C₂⁴	1	192	yes	—
562	C₂×#126	C₂⁴	1	384	yes	—
563	C₂×#126	C₂⁴	1	384	yes	—
564	C₂×#125	C₂⁴	1	96	yes	—
565	C₂×#125	C₂⁴	1	96	yes	—
566	C₂×#125	C₂⁴	1	192	yes	—
567	C₂×#125	C₂⁴	1	48	yes	—
568	C₂×#125	C₂⁴	1	384	yes	—
569	C₂×#125	C₂⁴	1	256	yes	complemented
570	C₂×#124	C₂⁴	1	96	yes	—
571	C₂×#124	C₂⁴	1	192	yes	—
572	C₂×#124	C₂⁴	1	192	yes	—
573	C₂×#124	C₂⁴	1	96	yes	—
574	C₂×#124	C₂⁴	1	48	yes	—
575	C₂×#124	C₂⁴	1	384	yes	—
576	C₂×#124	C₂⁴	1	384	yes	—
577	#525	C₂⁴	1	1024	yes	complemented
578	#525	C₂⁴	1	1024	yes	complemented
579	#525	C₂⁴	1	512	yes	complemented
580	#525	C₂⁴	1	2048	yes	complemented
581	#525	C₂⁴	1	2048	yes	complemented
582	C₂×#123	C₂⁴	1	384	yes	—
583	C₂×#123	C₂⁴	1	384	yes	—
584	C₂×#123	C₂⁴	1	192	yes	—
585	C₂×#123	C₂⁴	1	192	yes	—
586	C₂×#123	C₂⁴	1	384	yes	—
587	C₂×#123	C₂⁴	1	96	yes	—
588	C₂×#123	C₂⁴	1	384	yes	—
589	C₂×#123	C₂⁴	1	192	yes	—
590	C₂×#123	C₂⁴	1	192	yes	—
591	C₂×#123	C₂⁴	1	384	yes	—
592	C₂×#123	C₂⁴	1	384	yes	—
593	C₂×#123	C₂⁴	1	384	yes	—
594	C₂×#123	C₂⁴	1	384	yes	—
595	C₂×#123	C₂⁴	1	384	yes	—
596	C₂×#123	C₂⁴	1	1024	yes	complemented
597	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	—
598	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	—
599	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
600	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
601	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
602	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
603	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
604	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
605	C₂×C₂²⋊Q₈	C₂⁴	1	384	yes	—
606	C₂×#121	C₂⁴	1	96	yes	—
607	C₂×#121	C₂⁴	1	192	yes	—
608	C₂×#121	C₂⁴	1	96	yes	—
609	C₂×#121	C₂⁴	1	96	yes	—
610	C₂×#121	C₂⁴	1	384	yes	—
611	C₂×#121	C₂⁴	1	384	yes	—
612	C₂×#121	C₂⁴	1	384	yes	—
613	C₂×#121	C₂⁴	1	192	yes	—
614	C₂×#121	C₂⁴	1	192	yes	—
615	C₂×#121	C₂⁴	1	384	yes	—
616	C₂×#121	C₂⁴	1	192	yes	—
617	C₂×#121	C₂⁴	1	384	yes	—
618	C₂×#121	C₂⁴	1	192	yes	—
619	C₂×#121	C₂⁴	1	192	yes	—
620	C₂×#121	C₂⁴	1	384	yes	—
621	C₂×#121	C₂⁴	1	96	yes	—
622	C₂×#121	C₂⁴	1	192	yes	—
623	C₂×#121	C₂⁴	1	192	yes	—
624	C₂×#121	C₂⁴	1	192	yes	—
625	C₂×#121	C₂⁴	1	192	yes	—
626	C₂×#121	C₂⁴	1	192	yes	—
627	C₂×#121	C₂⁴	1	192	yes	—
628	C₂×#121	C₂⁴	1	192	yes	—
629	C₂×#121	C₂⁴	1	384	yes	—
630	C₂×#121	C₂⁴	1	384	yes	—
631	C₂×#121	C₂⁴	1	384	yes	—
632	C₂×#121	C₂⁴	1	384	yes	—
633	C₂×#121	C₂⁴	1	384	yes	—
634	C₂×#121	C₂⁴	1	384	yes	—
635	C₂×#121	C₂⁴	1	384	yes	—
636	C₂×#121	C₂⁴	1	384	yes	—
637	C₂×#121	C₂⁴	1	512	yes	complemented
638	C₂×#121	C₂⁴	1	1024	yes	complemented
639	C₂×#121	C₂⁴	1	2048	yes	complemented
640	C₂×#121	C₂⁴	1	2048	yes	complemented
641	C₂×#120	C₂⁴	1	192	yes	—
642	C₂×#120	C₂⁴	1	192	yes	—
643	C₂×#120	C₂⁴	1	384	yes	—
644	C₂×#120	C₂⁴	1	384	yes	—
645	C₂×#120	C₂⁴	1	96	yes	—
646	C₂×#120	C₂⁴	1	384	yes	—
647	C₂×#120	C₂⁴	1	384	yes	—
648	C₂×#120	C₂⁴	1	384	yes	—
649	C₂×#120	C₂⁴	1	384	yes	—
650	C₂×#120	C₂⁴	1	384	yes	—
651	C₂×#120	C₂⁴	1	384	yes	—
652	#520	C₂⁴	1	1024	yes	complemented
653	C₄×#41	C₂⁴	1	512	yes	complemented
654	C₂×C₄×Q₈	C₂⁴	1	96	yes	—
655	C₂×C₄×Q₈	C₂⁴	1	192	yes	—
656	C₂×C₄×Q₈	C₂⁴	1	96	yes	—
657	C₂×C₄×D₄	C₂⁴	1	96	yes	—
658	C₂×C₄×D₄	C₂⁴	1	96	yes	—
659	C₂×C₄×D₄	C₂⁴	1	96	yes	—
660	C₂×C₄×D₄	C₂⁴	1	96	yes	—
661	C₂×C₄×D₄	C₂⁴	1	192	yes	—
662	C₂×C₄×D₄	C₂⁴	1	96	yes	—
663	C₂×C₄×D₄	C₂⁴	1	384	yes	—
664	C₂×C₄×D₄	C₂⁴	1	192	yes	—
665	C₂×C₄×D₄	C₂⁴	1	96	yes	—
666	C₂×C₄×D₄	C₂⁴	1	192	yes	—
667	C₂×C₄×D₄	C₂⁴	1	96	yes	—
668	C₂×C₄×D₄	C₂⁴	1	192	yes	—
669	C₂×C₄×D₄	C₂⁴	1	384	yes	—
670	C₂×C₄×D₄	C₂⁴	1	384	yes	—
671	C₂×C₄×D₄	C₂⁴	1	384	yes	—
672	C₂×C₄×D₄	C₂⁴	1	96	yes	—
673	C₂×C₄×D₄	C₂⁴	1	384	yes	—
674	C₂×C₄×D₄	C₂⁴	1	384	yes	—
675	C₂×C₄×D₄	C₂⁴	1	512	yes	complemented
676	C₂×#117	C₂⁴	1	48	yes	—
677	C₂×#117	C₂⁴	1	48	yes	—
678	C₂×#117	C₂⁴	1	96	yes	—
679	C₂×#117	C₂⁴	1	48	yes	—
680	C₂×#117	C₂⁴	1	96	yes	—
681	C₂×#117	C₂⁴	1	192	yes	—
682	C₂×#117	C₂⁴	1	192	yes	—
683	C₂×#117	C₂⁴	1	384	yes	—
684	C₂×#117	C₂⁴	1	256	yes	complemented
685	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
686	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
687	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
688	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
689	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
690	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
691	C₂²×C₄⋊C₄	C₂⁴	1	16	yes	—
692	C₂²×C₄⋊C₄	C₂⁴	1	16	yes	—
693	C₂²×C₄⋊C₄	C₂⁴	1	48	yes	—
694	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
695	C₂²×C₄⋊C₄	C₂⁴	1	16	yes	—
696	C₂²×C₄⋊C₄	C₂⁴	1	48	yes	—
697	C₂²×C₄⋊C₄	C₂⁴	1	192	yes	—
698	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	—
699	C₂²×C₄⋊C₄	C₂⁴	1	192	yes	—
700	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
701	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
702	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
703	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
704	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
705	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
706	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
707	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
708	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
709	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
710	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
711	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
712	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
714	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
715	C₂²×C₂²⋊C₄	C₂⁴	1	48	yes	—
716	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
717	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
718	C₂²×C₂²⋊C₄	C₂⁴	1	96	yes	—
719	C₂²×C₂²⋊C₄	C₂⁴	1	96	yes	—
720	C₂²×C₂²⋊C₄	C₂⁴	1	384	yes	—
721	C₂²×C₂²⋊C₄	C₂⁴	1	384	yes	—
722	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
723	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
724	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
725	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
726	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
727	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
728	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
729	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
730	C₂²×C₄²	C₂⁴	1	2	yes	—
731	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
732	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
733	C₂²×C₄²	C₂⁴	1	2	yes	—
734	C₂²×C₄²	C₂⁴	1	2	yes	—
735	C₂²×C₄²	C₂⁴	1	4	yes	—
736	C₂²×C₄²	C₂⁴	1	8	yes	—
737	C₂²×C₄²	C₂⁴	1	24	yes	—
738	C₂²×C₄²	C₂⁴	1	24	yes	—
739	C₂²×C₄²	C₂⁴	1	96	yes	—
740	C₂²×C₄²	C₂⁴	1	16	yes	—
741	C₂⁵	—	2	8	no	—
742	C₂⁵	—	2	32	no	—
743	C₂⁵	—	4	16	no	—
744	C₂⁵	—	4	16	no	—
745	C₂⁵	—	4	8	no	—
746	C₂⁵	—	4	16	no	—
747	C₂⁵	—	4	32	no	—
748	C₂⁵	—	4	64	no	—
749	C₂⁵	—	4	64	no	—
750	C₂⁵	—	4	64	no	—
751	C₂⁵	C₂⁵	1	4	yes	—
752	C₂⁵	C₂⁵	1	2	yes	—
753	C₂⁵	C₂⁵	1	8	yes	—
754	C₂⁵	C₂⁵	1	8	yes	—
755	C₂⁵	C₂⁵	1	1	yes	characteristic
756	C₂⁵	C₂⁵	1	12	yes	—
757	C₂⁵	C₂⁵	1	48	yes	—
758	C₂⁵	C₂⁵	1	192	yes	—
759	C₂⁵	C₂⁵	1	48	yes	—
760	H(5,𝔽₂)	—	4	4096	no	—
761	C₂×#41	—	2	768	no	—
762	C₂×#41	—	2	384	no	—
763	C₂×#41	—	4	384	no	—
764	C₂×#41	—	4	384	no	—
765	C₂×#41	—	4	384	no	—
766	C₂×#41	—	4	768	no	—
767	C₂×#41	—	4	768	no	—
768	C₂×#41	—	4	2048	no	—
769	C₂×#41	—	8	384	no	—
770	C₂×#41	C₂⁵	1	128	yes	—
771	C₂×#41	C₂⁵	1	256	yes	—
772	C₂×#41	C₂⁵	1	256	yes	—
773	C₂×#41	C₂⁵	1	512	yes	—
774	C₂×#41	C₂⁵	1	512	yes	—
775	C₂×#41	C₂⁵	1	256	yes	—
776	C₂×#41	C₂⁵	1	256	yes	—
777	C₂×#41	C₂⁵	1	512	yes	—
778	C₂²×Q₈	—	2	32	no	—
779	C₂²×Q₈	—	2	16	no	—
780	C₂²×Q₈	—	4	16	no	—
781	C₂²×Q₈	—	4	16	no	—
782	C₂²×Q₈	—	4	192	no	—
783	C₂²×Q₈	C₂⁵	1	24	yes	—
784	C₂²×Q₈	C₂⁵	1	48	yes	—
785	C₂²×Q₈	C₂⁵	1	48	yes	—
786	C₂²×Q₈	C₂⁵	1	48	yes	—
787	C₂²×Q₈	C₂⁵	1	128	yes	—
788	C₂²×D₄	—	2	32	no	—
789	C₂²×D₄	—	2	64	no	—
790	C₂²×D₄	—	2	32	no	—
791	C₂²×D₄	—	2	32	no	—
792	C₂²×D₄	—	2	384	no	—
793	C₂²×D₄	—	2	16	no	—
794	C₂²×D₄	—	2	32	no	—
795	C₂²×D₄	—	4	192	no	—
796	C₂²×D₄	—	4	768	no	—
797	C₂²×D₄	—	4	768	no	—
798	C₂²×D₄	—	4	64	no	—
799	C₂²×D₄	—	4	64	no	—
800	C₂²×D₄	—	4	16	no	—
801	C₂²×D₄	—	4	32	no	—
802	C₂²×D₄	—	4	16	no	—
803	C₂²×D₄	—	4	64	no	—
804	C₂²×D₄	—	4	16	no	—
805	C₂²×D₄	—	4	64	no	—
806	C₂²×D₄	—	4	64	no	—
807	C₂²×D₄	—	4	32	no	—
808	C₂²×D₄	—	4	32	no	—
809	C₂²×D₄	—	4	64	no	—
810	C₂²×D₄	—	4	64	no	—
811	C₂²×D₄	—	4	16	no	—
812	C₂²×D₄	—	4	384	no	—
813	C₂²×D₄	—	4	1536	no	—
814	C₂²×D₄	—	8	192	no	—
815	C₂²×D₄	—	8	384	no	—
816	C₂²×D₄	—	8	192	no	—
817	C₂²×D₄	—	8	768	no	—
818	C₂²×D₄	—	8	768	no	—
819	C₂²×D₄	C₂⁵	1	96	yes	—
820	C₂²×D₄	C₂⁵	1	48	yes	—
821	C₂²×D₄	C₂⁵	1	24	yes	—
822	C₂²×D₄	C₂⁵	1	48	yes	—
823	C₂²×D₄	C₂⁵	1	48	yes	—
824	C₂²×D₄	C₂⁵	1	48	yes	—
825	C₂²×D₄	C₂⁵	1	128	yes	—
826	C₂²×D₄	C₂⁵	1	48	yes	—
827	C₂²×D₄	C₂⁵	1	48	yes	—
828	C₂²×D₄	C₂⁵	1	192	yes	—
829	C₂²×D₄	C₂⁵	1	192	yes	—
830	C₂²×D₄	C₂⁵	1	96	yes	—
831	C₂²×D₄	C₂⁵	1	48	yes	—
832	C₂²×D₄	C₂⁵	1	192	yes	—
833	C₂²×D₄	C₂⁵	1	192	yes	—
834	C₂²×D₄	C₂⁵	1	96	yes	—
835	C₂²×D₄	C₂⁵	1	192	yes	—
836	C₂²×D₄	C₂⁵	1	48	yes	—
837	C₂²×D₄	C₂⁵	1	96	yes	—
838	C₂²×D₄	C₂⁵	1	192	yes	—
839	C₂²×D₄	C₂⁵	1	192	yes	—
840	C₂²×D₄	C₂⁵	1	1024	yes	—
841	C₂²×D₄	C₂⁵	1	512	yes	—
842	C₂²×D₄	C₂⁵	1	512	yes	—
843	C₂²×D₄	C₂⁵	1	256	yes	—
844	C₂²×D₄	C₂⁵	1	128	yes	—
845	C₂²×D₄	C₂⁵	1	256	yes	—
846	C₂²×D₄	C₂⁵	1	256	yes	—
847	C₂²×D₄	C₂⁵	1	512	yes	—
848	C₂²×D₄	C₂⁵	1	1024	yes	—
849	C₂²×D₄	C₂⁵	1	1024	yes	—
850	C₂³×C₄	—	2	8	no	—
851	C₂³×C₄	—	2	16	no	—
852	C₂³×C₄	—	2	16	no	—
853	C₂³×C₄	—	2	192	no	—
854	C₂³×C₄	—	2	64	no	—
855	C₂³×C₄	—	2	32	no	—
856	C₂³×C₄	—	4	384	no	—
857	C₂³×C₄	—	4	16	no	—
858	C₂³×C₄	—	4	32	no	—
859	C₂³×C₄	—	4	8	no	—
860	C₂³×C₄	—	4	16	no	—
861	C₂³×C₄	—	4	32	no	—
862	C₂³×C₄	—	4	32	no	—
863	C₂³×C₄	—	4	64	no	—
864	C₂³×C₄	—	4	8	no	—
865	C₂³×C₄	—	4	32	no	—
866	C₂³×C₄	—	4	64	no	—
867	C₂³×C₄	—	8	192	no	—
868	C₂³×C₄	H(5,𝔽₂)	1	16	yes	—
869	C₂³×C₄	C₂⁵	1	12	yes	—
870	C₂³×C₄	C₂⁵	1	96	yes	—
871	C₂³×C₄	C₂⁵	1	24	yes	—
872	C₂³×C₄	C₂⁵	1	24	yes	—
873	C₂³×C₄	C₂⁵	1	48	yes	—
874	C₂³×C₄	C₂⁵	1	64	yes	—
875	C₂³×C₄	C₂⁵	1	2	yes	—
876	C₂³×C₄	C₂⁵	1	2	yes	—
877	C₂³×C₄	C₂⁵	1	8	yes	—
878	C₂³×C₄	C₂⁵	1	2	yes	—
879	C₂³×C₄	C₂⁵	1	8	yes	—
880	C₂³×C₄	C₂⁵	1	8	yes	—
881	C₂³×C₄	C₂⁵	1	4	yes	—
882	C₂³×C₄	C₂⁵	1	4	yes	—
883	C₂³×C₄	C₂⁵	1	24	yes	—
884	C₂³×C₄	C₂⁵	1	48	yes	—
885	C₂³×C₄	C₂⁵	1	96	yes	—
886	C₂³×C₄	C₂⁵	1	96	yes	—
887	C₂³×C₄	C₂⁵	1	24	yes	—
888	C₂³×C₄	C₂⁵	1	192	yes	—
889	C₂³×C₄	C₂⁵	1	192	yes	—
890	C₂³×C₄	C₂⁵	1	96	yes	—
891	C₂³×C₄	C₂⁵	1	48	yes	—
892	C₂³×C₄	C₂⁵	1	96	yes	—
893	C₂³×C₄	C₂⁵	1	256	yes	—
894	C₂³×C₄	C₂⁵	1	256	yes	—
895	C₂³×C₄	C₂⁵	1	12	yes	—
896	C₂³×C₄	C₂⁵	1	1	yes	characteristic
897	C₂³×C₄	C₂⁵	1	1	yes	characteristic
898	C₄⋊Q₈	C₂⁵	1	128	yes	—
899	C₄⋊Q₈	C₂⁵	1	128	yes	—
900	C₄⋊Q₈	C₂⁵	1	64	yes	—
901	C₄⋊Q₈	C₂⁵	1	128	yes	—
902	#127	C₂⁵	1	256	yes	—
903	#127	C₂⁵	1	128	yes	—
904	#127	C₂⁵	1	512	yes	—
905	#127	C₂⁵	1	1024	yes	—
906	#127	C₂⁵	1	256	yes	—
907	#127	C₂⁵	1	128	yes	—
908	#127	C₂⁵	1	64	yes	—
909	#127	C₂⁵	1	1024	yes	—
910	#126	C₂⁵	1	1024	yes	—
911	#126	C₂⁵	1	512	yes	—
912	#126	C₂⁵	1	512	yes	—
913	#126	C₂⁵	1	1024	yes	—
914	#126	C₂⁵	1	1024	yes	—
915	#125	C₂⁵	1	256	yes	—
916	#125	C₂⁵	1	256	yes	—
917	#125	C₂⁵	1	512	yes	—
918	#125	C₂⁵	1	128	yes	—
919	#125	C₂⁵	1	1024	yes	—
920	#124	C₂⁵	1	256	yes	—
921	#124	C₂⁵	1	512	yes	—
922	#124	C₂⁵	1	512	yes	—
923	#124	C₂⁵	1	256	yes	—
924	#124	C₂⁵	1	128	yes	—
925	#124	C₂⁵	1	1024	yes	—
926	#124	C₂⁵	1	1024	yes	—
927	#123	C₂⁵	1	1024	yes	—
928	#123	C₂⁵	1	1024	yes	—
929	#123	C₂⁵	1	512	yes	—
930	#123	C₂⁵	1	512	yes	—
931	#123	C₂⁵	1	1024	yes	—
932	#123	C₂⁵	1	256	yes	—
933	#123	C₂⁵	1	1024	yes	—
934	#123	C₂⁵	1	512	yes	—
935	#123	C₂⁵	1	512	yes	—
936	#123	C₂⁵	1	1024	yes	—
937	#123	C₂⁵	1	1024	yes	—
938	#123	C₂⁵	1	1024	yes	—
939	#123	C₂⁵	1	1024	yes	—
940	#123	C₂⁵	1	1024	yes	—
941	C₂²⋊Q₈	C₂⁵	1	256	yes	—
942	C₂²⋊Q₈	C₂⁵	1	256	yes	—
943	C₂²⋊Q₈	C₂⁵	1	512	yes	—
944	C₂²⋊Q₈	C₂⁵	1	512	yes	—
945	C₂²⋊Q₈	C₂⁵	1	512	yes	—
946	C₂²⋊Q₈	C₂⁵	1	512	yes	—
947	C₂²⋊Q₈	C₂⁵	1	512	yes	—
948	C₂²⋊Q₈	C₂⁵	1	512	yes	—
949	C₂²⋊Q₈	C₂⁵	1	1024	yes	—
950	#121	C₂⁵	1	256	yes	—
951	#121	C₂⁵	1	512	yes	—
952	#121	C₂⁵	1	256	yes	—
953	#121	C₂⁵	1	256	yes	—
954	#121	C₂⁵	1	1024	yes	—
955	#121	C₂⁵	1	1024	yes	—
956	#121	C₂⁵	1	1024	yes	—
957	#121	C₂⁵	1	512	yes	—
958	#121	C₂⁵	1	512	yes	—
959	#121	C₂⁵	1	1024	yes	—
960	#121	C₂⁵	1	512	yes	—
961	#121	C₂⁵	1	1024	yes	—
962	#121	C₂⁵	1	512	yes	—
963	#121	C₂⁵	1	512	yes	—
964	#121	C₂⁵	1	1024	yes	—
965	#121	C₂⁵	1	256	yes	—
966	#121	C₂⁵	1	512	yes	—
967	#121	C₂⁵	1	512	yes	—
968	#121	C₂⁵	1	512	yes	—
969	#121	C₂⁵	1	512	yes	—
970	#121	C₂⁵	1	512	yes	—
971	#121	C₂⁵	1	512	yes	—
972	#121	C₂⁵	1	512	yes	—
973	#121	C₂⁵	1	1024	yes	—
974	#121	C₂⁵	1	1024	yes	—
975	#121	C₂⁵	1	1024	yes	—
976	#121	C₂⁵	1	1024	yes	—
977	#121	C₂⁵	1	1024	yes	—
978	#121	C₂⁵	1	1024	yes	—
979	#121	C₂⁵	1	1024	yes	—
980	#121	C₂⁵	1	1024	yes	—
981	#120	C₂⁵	1	512	yes	—
982	#120	C₂⁵	1	512	yes	—
983	#120	C₂⁵	1	1024	yes	—
984	#120	C₂⁵	1	1024	yes	—
985	#120	C₂⁵	1	256	yes	—
986	#120	C₂⁵	1	1024	yes	—
987	#120	C₂⁵	1	1024	yes	—
988	#120	C₂⁵	1	1024	yes	—
989	#120	C₂⁵	1	1024	yes	—
990	#120	C₂⁵	1	1024	yes	—
991	#120	C₂⁵	1	1024	yes	—
992	C₄×Q₈	C₂⁵	1	256	yes	—
993	C₄×Q₈	C₂⁵	1	512	yes	—
994	C₄×Q₈	C₂⁵	1	256	yes	—
995	C₄×D₄	C₂⁵	1	256	yes	—
996	C₄×D₄	C₂⁵	1	256	yes	—
997	C₄×D₄	C₂⁵	1	256	yes	—
998	C₄×D₄	C₂⁵	1	256	yes	—
999	C₄×D₄	C₂⁵	1	512	yes	—
1000	C₄×D₄	C₂⁵	1	256	yes	—
1001	C₄×D₄	C₂⁵	1	1024	yes	—
1002	C₄×D₄	C₂⁵	1	512	yes	—
1003	C₄×D₄	C₂⁵	1	256	yes	—
1004	C₄×D₄	C₂⁵	1	512	yes	—
1005	C₄×D₄	C₂⁵	1	256	yes	—
1006	C₄×D₄	C₂⁵	1	512	yes	—
1007	C₄×D₄	C₂⁵	1	1024	yes	—
1008	C₄×D₄	C₂⁵	1	1024	yes	—
1009	C₄×D₄	C₂⁵	1	1024	yes	—
1010	C₄×D₄	C₂⁵	1	256	yes	—
1011	C₄×D₄	C₂⁵	1	1024	yes	—
1012	C₄×D₄	C₂⁵	1	1024	yes	—
1013	#117	C₂⁵	1	128	yes	—
1014	#117	C₂⁵	1	128	yes	—
1015	#117	C₂⁵	1	256	yes	—
1016	#117	C₂⁵	1	128	yes	—
1017	#117	C₂⁵	1	256	yes	—
1018	#117	C₂⁵	1	512	yes	—
1019	#117	C₂⁵	1	512	yes	—
1020	#117	C₂⁵	1	1024	yes	—
1021	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1022	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1023	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1024	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1025	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1026	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1027	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1028	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1029	C₂×C₄⋊C₄	C₂⁵	1	128	yes	—
1030	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1031	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1032	C₂×C₄⋊C₄	C₂⁵	1	128	yes	—
1033	C₂×C₄⋊C₄	C₂⁵	1	512	yes	—
1034	C₂×C₄⋊C₄	C₂⁵	1	256	yes	—
1035	C₂×C₄⋊C₄	C₂⁵	1	512	yes	—
1036	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1037	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1038	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1039	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1040	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1041	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1042	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1043	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1044	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1045	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1046	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1047	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1048	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1049	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1050	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1051	C₂×C₂²⋊C₄	C₂⁵	1	128	yes	—
1052	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1053	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1054	C₂×C₂²⋊C₄	C₂⁵	1	256	yes	—
1055	C₂×C₂²⋊C₄	C₂⁵	1	256	yes	—
1056	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
1057	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
1058	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1059	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1060	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1061	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1062	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1063	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1064	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1065	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1066	C₂×C₄²	C₂⁵	1	24	yes	—
1067	C₂×C₄²	C₂⁵	1	192	yes	—
1068	C₂×C₄²	C₂⁵	1	12	yes	—
1069	C₂×C₄²	C₂⁵	1	12	yes	—
1070	C₂×C₄²	C₂⁵	1	24	yes	—
1071	C₂×C₄²	C₂⁵	1	24	yes	—
1072	C₂×C₄²	C₂⁵	1	48	yes	—
1073	C₂×C₄²	C₂⁵	1	96	yes	—
1074	C₂×C₄²	C₂⁵	1	64	yes	—
1075	C₂×C₄²	C₂⁵	1	64	yes	—
1076	C₂×C₄²	C₂⁵	1	256	yes	—
1077	C₂⁴	—	2	8	no	—
1078	C₂⁴	—	2	8	no	—
1079	C₂⁴	—	2	32	no	—
1080	C₂⁴	—	2	16	no	—
1081	C₂⁴	—	2	32	no	—
1082	C₂⁴	—	2	32	no	—
1083	C₂⁴	—	2	32	no	—
1084	C₂⁴	—	2	32	no	—
1085	C₂⁴	—	2	16	no	—
1086	C₂⁴	—	2	32	no	—
1087	C₂⁴	—	2	32	no	—
1088	C₂⁴	—	2	48	no	—
1089	C₂⁴	—	2	192	no	—
1090	C₂⁴	—	4	96	no	—
1091	C₂⁴	—	4	96	no	—
1092	C₂⁴	—	4	48	no	—
1093	C₂⁴	—	4	96	no	—
1094	C₂⁴	—	4	192	no	—
1095	C₂⁴	—	4	384	no	—
1096	C₂⁴	—	4	384	no	—
1097	C₂⁴	—	4	384	no	—
1098	C₂⁴	—	8	32	no	—
1099	C₂⁴	—	8	128	no	—
1100	C₂⁴	—	8	128	no	—
1101	C₂⁴	—	16	256	no	—
1102	C₂⁴	C₂×H(5,𝔽₂)	1	8	yes	—
1103	C₂⁴	C₂⁶	1	24	yes	—
1104	C₂⁴	C₂⁶	1	12	yes	—
1105	C₂⁴	C₂⁶	1	48	yes	—
1106	C₂⁴	C₂⁶	1	48	yes	—
1107	C₂⁴	C₂⁶	1	6	yes	—
1108	C₂⁴	C₂⁶	1	16	yes	—
1109	C₂⁴	C₂⁶	1	64	yes	—
1110	C₂⁴	C₂⁶	1	256	yes	—
1111	C₂⁴	C₂⁶	1	64	yes	—
1112	C₂⁴	C₂⁶	1	1	yes	characteristic
1113	#41	—	2	1024	no	—
1114	#41	—	2	512	no	—
1115	#41	—	4	512	no	—
1116	#41	—	4	512	no	—
1117	#41	—	4	512	no	—
1118	#41	—	4	1024	no	—
1119	#41	—	4	1024	no	—
1120	#41	—	8	512	no	—
1121	C₂×Q₈	—	2	192	no	—
1122	C₂×Q₈	—	2	96	no	—
1123	C₂×Q₈	—	4	96	no	—
1124	C₂×Q₈	—	4	96	no	—
1125	C₂×Q₈	—	4	256	no	—
1126	C₂×Q₈	C₂⁶	1	32	yes	—
1127	C₂×Q₈	C₂⁶	1	64	yes	—
1128	C₂×Q₈	C₂⁶	1	64	yes	—
1129	C₂×Q₈	C₂⁶	1	64	yes	—
1130	C₂×D₄	—	2	192	no	—
1131	C₂×D₄	—	2	384	no	—
1132	C₂×D₄	—	2	192	no	—
1133	C₂×D₄	—	2	192	no	—
1134	C₂×D₄	—	2	512	no	—
1135	C₂×D₄	—	2	96	no	—
1136	C₂×D₄	—	2	192	no	—
1137	C₂×D₄	—	4	256	no	—
1138	C₂×D₄	—	4	1024	no	—
1139	C₂×D₄	—	4	1024	no	—
1140	C₂×D₄	—	4	384	no	—
1141	C₂×D₄	—	4	384	no	—
1142	C₂×D₄	—	4	96	no	—
1143	C₂×D₄	—	4	192	no	—
1144	C₂×D₄	—	4	96	no	—
1145	C₂×D₄	—	4	384	no	—
1146	C₂×D₄	—	4	96	no	—
1147	C₂×D₄	—	4	384	no	—
1148	C₂×D₄	—	4	384	no	—
1149	C₂×D₄	—	4	192	no	—
1150	C₂×D₄	—	4	192	no	—
1151	C₂×D₄	—	4	384	no	—
1152	C₂×D₄	—	4	384	no	—
1153	C₂×D₄	—	4	96	no	—
1154	C₂×D₄	—	4	512	no	—
1155	C₂×D₄	—	4	2048	no	—
1156	C₂×D₄	—	8	256	no	—
1157	C₂×D₄	—	8	512	no	—
1158	C₂×D₄	—	8	256	no	—
1159	C₂×D₄	—	8	1024	no	—
1160	C₂×D₄	—	8	1024	no	—
1161	C₂×D₄	C₂⁶	1	128	yes	—
1162	C₂×D₄	C₂⁶	1	64	yes	—
1163	C₂×D₄	C₂⁶	1	32	yes	—
1164	C₂×D₄	C₂⁶	1	64	yes	—
1165	C₂×D₄	C₂⁶	1	64	yes	—
1166	C₂×D₄	C₂⁶	1	64	yes	—
1167	C₂×D₄	C₂⁶	1	64	yes	—
1168	C₂×D₄	C₂⁶	1	64	yes	—
1169	C₂×D₄	C₂⁶	1	256	yes	—
1170	C₂×D₄	C₂⁶	1	256	yes	—
1171	C₂×D₄	C₂⁶	1	128	yes	—
1172	C₂×D₄	C₂⁶	1	64	yes	—
1173	C₂×D₄	C₂⁶	1	256	yes	—
1174	C₂×D₄	C₂⁶	1	256	yes	—
1175	C₂×D₄	C₂⁶	1	128	yes	—
1176	C₂×D₄	C₂⁶	1	256	yes	—
1177	C₂×D₄	C₂⁶	1	64	yes	—
1178	C₂×D₄	C₂⁶	1	128	yes	—
1179	C₂×D₄	C₂⁶	1	256	yes	—
1180	C₂×D₄	C₂⁶	1	256	yes	—
1181	C₂²×C₄	—	2	8	no	—
1182	C₂²×C₄	—	2	48	no	—
1183	C₂²×C₄	—	2	16	no	—
1184	C₂²×C₄	—	2	32	no	—
1185	C₂²×C₄	—	2	8	no	—
1186	C₂²×C₄	—	2	32	no	—
1187	C₂²×C₄	—	2	8	no	—
1188	C₂²×C₄	—	2	16	no	—
1189	C₂²×C₄	—	2	32	no	—
1190	C₂²×C₄	—	2	96	no	—
1191	C₂²×C₄	—	2	96	no	—
1192	C₂²×C₄	—	2	256	no	—
1193	C₂²×C₄	—	2	384	no	—
1194	C₂²×C₄	—	2	192	no	—
1195	C₂²×C₄	—	4	512	no	—
1196	C₂²×C₄	—	4	96	no	—
1197	C₂²×C₄	—	4	192	no	—
1198	C₂²×C₄	—	4	48	no	—
1199	C₂²×C₄	—	4	96	no	—
1200	C₂²×C₄	—	4	192	no	—
1201	C₂²×C₄	—	4	192	no	—
1202	C₂²×C₄	—	4	384	no	—
1203	C₂²×C₄	—	4	48	no	—
1204	C₂²×C₄	—	4	192	no	—
1205	C₂²×C₄	—	4	384	no	—
1206	C₂²×C₄	—	8	256	no	—
1207	C₂²×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1208	C₂²×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1209	C₂²×C₄	C₂×H(5,𝔽₂)	1	96	yes	—
1210	C₂²×C₄	C₂⁶	1	48	yes	—
1211	C₂²×C₄	C₂⁶	1	24	yes	—
1212	C₂²×C₄	C₂⁶	1	12	yes	—
1213	C₂²×C₄	C₂⁶	1	48	yes	—
1214	C₂²×C₄	C₂⁶	1	12	yes	—
1215	C₂²×C₄	C₂⁶	1	48	yes	—
1216	C₂²×C₄	C₂⁶	1	24	yes	—
1217	C₂²×C₄	C₂⁶	1	64	yes	—
1218	C₂²×C₄	C₂⁶	1	12	yes	—
1219	C₂²×C₄	C₂⁶	1	16	yes	—
1220	C₂²×C₄	C₂⁶	1	128	yes	—
1221	C₂²×C₄	C₂⁶	1	32	yes	—
1222	C₂²×C₄	C₂⁶	1	32	yes	—
1223	C₂²×C₄	C₂⁶	1	32	yes	—
1224	C₂²×C₄	C₂⁶	1	32	yes	—
1225	C₂²×C₄	C₂⁶	1	128	yes	—
1226	C₂²×C₄	C₂⁶	1	64	yes	—
1227	C₂²×C₄	C₂⁶	1	128	yes	—
1228	C₂²×C₄	C₂⁶	1	128	yes	—
1229	C₂²×C₄	C₂⁶	1	256	yes	—
1230	C₂²×C₄	C₂⁶	1	256	yes	—
1231	C₂²×C₄	C₂⁶	1	128	yes	—
1232	C₂²×C₄	C₂⁶	1	64	yes	—
1233	C₂²×C₄	C₂⁶	1	6	yes	—
1234	C₂²×C₄	C₂⁶	1	6	yes	—
1235	C₂²×C₄	C₂⁶	1	16	yes	—
1236	C₄⋊C₄	C₂⁶	1	64	yes	—
1237	C₄⋊C₄	C₂⁶	1	64	yes	—
1238	C₄⋊C₄	C₂⁶	1	64	yes	—
1239	C₄⋊C₄	C₂⁶	1	64	yes	—
1240	C₄⋊C₄	C₂⁶	1	64	yes	—
1241	C₄⋊C₄	C₂⁶	1	64	yes	—
1242	C₄⋊C₄	C₂⁶	1	256	yes	—
1243	C₄⋊C₄	C₂⁶	1	256	yes	—
1244	C₄⋊C₄	C₂⁶	1	64	yes	—
1245	C₄⋊C₄	C₂⁶	1	256	yes	—
1246	C₄⋊C₄	C₂⁶	1	64	yes	—
1247	C₄⋊C₄	C₂⁶	1	64	yes	—
1248	C₄⋊C₄	C₂⁶	1	128	yes	—
1249	C₄⋊C₄	C₂⁶	1	128	yes	—
1250	C₄⋊C₄	C₂⁶	1	128	yes	—
1251	C₄⋊C₄	C₂⁶	1	128	yes	—
1252	C₂²⋊C₄	C₂⁶	1	256	yes	—
1253	C₂²⋊C₄	C₂⁶	1	128	yes	—
1254	C₂²⋊C₄	C₂⁶	1	128	yes	—
1255	C₂²⋊C₄	C₂⁶	1	256	yes	—
1256	C₂²⋊C₄	C₂⁶	1	128	yes	—
1257	C₂²⋊C₄	C₂⁶	1	64	yes	—
1258	C₂²⋊C₄	C₂⁶	1	64	yes	—
1259	C₂²⋊C₄	C₂⁶	1	256	yes	—
1260	C₂²⋊C₄	C₂⁶	1	256	yes	—
1261	C₂²⋊C₄	C₂⁶	1	128	yes	—
1262	C₂²⋊C₄	C₂⁶	1	128	yes	—
1263	C₂²⋊C₄	C₂⁶	1	128	yes	—
1264	C₂²⋊C₄	C₂⁶	1	64	yes	—
1265	C₂²⋊C₄	C₂⁶	1	128	yes	—
1266	C₂²⋊C₄	C₂⁶	1	256	yes	—
1267	C₂²⋊C₄	C₂⁶	1	128	yes	—
1268	C₂²⋊C₄	C₂⁶	1	128	yes	—
1269	C₂²⋊C₄	C₂⁶	1	256	yes	—
1270	C₂²⋊C₄	C₂⁶	1	128	yes	—
1271	C₄²	C₂⁶	1	32	yes	—
1272	C₄²	C₂⁶	1	16	yes	—
1273	C₄²	C₂⁶	1	16	yes	—
1274	C₄²	C₂⁶	1	32	yes	—
1275	C₄²	C₂⁶	1	32	yes	—
1276	C₄²	C₂⁶	1	64	yes	—
1277	C₄²	C₂⁶	1	128	yes	—
1278	C₄²	C₂⁶	1	256	yes	—
1279	C₂³	—	2	24	no	—
1280	C₂³	—	2	32	no	—
1281	C₂³	—	2	24	no	—
1282	C₂³	—	2	96	no	—
1283	C₂³	—	2	48	no	—
1284	C₂³	—	2	96	no	—
1285	C₂³	—	2	96	no	—
1286	C₂³	—	2	96	no	—
1287	C₂³	—	2	96	no	—
1288	C₂³	—	2	48	no	—
1289	C₂³	—	2	96	no	—
1290	C₂³	—	2	96	no	—
1291	C₂³	—	2	32	no	—
1292	C₂³	—	2	128	no	—
1293	C₂³	—	4	64	no	—
1294	C₂³	—	4	64	no	—
1295	C₂³	—	4	32	no	—
1296	C₂³	—	4	64	no	—
1297	C₂³	—	4	128	no	—
1298	C₂³	—	4	256	no	—
1299	C₂³	—	4	256	no	—
1300	C₂³	—	4	256	no	—
1301	C₂³	—	4	32	no	—
1302	C₂³	—	4	128	no	—
1303	C₂³	—	4	128	no	—
1304	C₂³	—	4	64	no	—
1305	C₂³	—	8	96	no	—
1306	C₂³	—	8	384	no	—
1307	C₂³	—	8	384	no	—
1308	C₂³	—	16	768	no	—
1309	C₂³	C₂²×H(5,𝔽₂)	1	24	yes	—
1310	C₂³	C₂²×H(5,𝔽₂)	1	4	yes	—
1311	C₂³	H(7,𝔽₂)	1	8	yes	—
1312	C₂³	C₂⁷	1	16	yes	—
1313	C₂³	C₂⁷	1	8	yes	—
1314	C₂³	C₂⁷	1	32	yes	—
1315	C₂³	C₂⁷	1	32	yes	—
1316	C₂³	C₂⁷	1	4	yes	—
1317	C₂³	C₂⁷	1	3	yes	—
1318	Q₈	—	2	128	no	—
1319	Q₈	—	2	64	no	—
1320	Q₈	—	4	64	no	—
1321	Q₈	—	4	64	no	—
1322	D₄	—	2	128	no	—
1323	D₄	—	2	256	no	—
1324	D₄	—	2	128	no	—
1325	D₄	—	2	128	no	—
1326	D₄	—	2	64	no	—
1327	D₄	—	2	128	no	—
1328	D₄	—	4	256	no	—
1329	D₄	—	4	256	no	—
1330	D₄	—	4	64	no	—
1331	D₄	—	4	128	no	—
1332	D₄	—	4	64	no	—
1333	D₄	—	4	256	no	—
1334	D₄	—	4	64	no	—
1335	D₄	—	4	256	no	—
1336	D₄	—	4	256	no	—
1337	D₄	—	4	128	no	—
1338	D₄	—	4	128	no	—
1339	D₄	—	4	256	no	—
1340	D₄	—	4	256	no	—
1341	D₄	—	4	64	no	—
1342	C₂×C₄	—	2	24	no	—
1343	C₂×C₄	—	2	32	no	—
1344	C₂×C₄	—	2	48	no	—
1345	C₂×C₄	—	2	96	no	—
1346	C₂×C₄	—	2	24	no	—
1347	C₂×C₄	—	2	96	no	—
1348	C₂×C₄	—	2	24	no	—
1349	C₂×C₄	—	2	48	no	—
1350	C₂×C₄	—	2	96	no	—
1351	C₂×C₄	—	2	64	no	—
1352	C₂×C₄	—	2	64	no	—
1353	C₂×C₄	—	2	256	no	—
1354	C₂×C₄	—	2	128	no	—
1355	C₂×C₄	—	4	64	no	—
1356	C₂×C₄	—	4	128	no	—
1357	C₂×C₄	—	4	32	no	—
1358	C₂×C₄	—	4	64	no	—
1359	C₂×C₄	—	4	128	no	—
1360	C₂×C₄	—	4	128	no	—
1361	C₂×C₄	—	4	256	no	—
1362	C₂×C₄	—	4	32	no	—
1363	C₂×C₄	—	4	128	no	—
1364	C₂×C₄	—	4	256	no	—
1365	C₂×C₄	C₂²×H(5,𝔽₂)	1	24	yes	—
1366	C₂×C₄	C₂²×H(5,𝔽₂)	1	24	yes	—
1367	C₂×C₄	C₂²×H(5,𝔽₂)	1	64	yes	—
1368	C₂×C₄	C₂⁷	1	32	yes	—
1369	C₂×C₄	C₂⁷	1	16	yes	—
1370	C₂×C₄	C₂⁷	1	8	yes	—
1371	C₂×C₄	C₂⁷	1	8	yes	—
1372	C₂×C₄	C₂⁷	1	32	yes	—
1373	C₂×C₄	C₂⁷	1	32	yes	—
1374	C₂×C₄	C₂⁷	1	16	yes	—
1375	C₂×C₄	C₂⁷	1	8	yes	—
1376	C₂×C₄	C₂⁷	1	4	yes	—
1377	C₂×C₄	C₂⁷	1	4	yes	—
1378	C₂²	—	2	48	no	—
1379	C₂²	—	2	8	no	—
1380	C₂²	—	2	8	no	—
1381	C₂²	—	2	32	no	—
1382	C₂²	—	2	16	no	—
1383	C₂²	—	2	32	no	—
1384	C₂²	—	2	32	no	—
1385	C₂²	—	2	32	no	—
1386	C₂²	—	2	32	no	—
1387	C₂²	—	2	16	no	—
1388	C₂²	—	2	32	no	—
1389	C₂²	—	2	32	no	—
1390	C₂²	—	4	48	no	—
1391	C₂²	—	4	192	no	—
1392	C₂²	—	4	192	no	—
1393	C₂²	—	4	96	no	—
1394	C₂²	—	8	32	no	—
1395	C₂²	—	8	128	no	—
1396	C₂²	—	8	128	no	—
1397	C₂²	—	16	256	no	—
1398	C₂²	#62880	1	16	yes	direct product factor
1399	C₂²	C₂³×H(5,𝔽₂)	1	8	yes	—
1400	C₂²	C₂³×H(5,𝔽₂)	1	6	yes	—
1401	C₂²	C₂×H(7,𝔽₂)	1	12	yes	—
1402	C₂²	C₂⁸	1	1	yes	characteristic
1403	C₄	—	2	8	no	—
1404	C₄	—	2	16	no	—
1405	C₄	—	2	32	no	—
1406	C₄	—	2	8	no	—
1407	C₄	—	2	32	no	—
1408	C₄	—	2	8	no	—
1409	C₄	—	2	16	no	—
1410	C₄	—	2	32	no	—
1411	C₄	C₂³×H(5,𝔽₂)	1	8	yes	—
1412	C₄	C₂³×H(5,𝔽₂)	1	8	yes	—
1413	C₂	—	2	8	no	—
1414	C₂	—	4	8	no	—
1415	C₂	—	4	32	no	—
1416	C₂	—	4	32	no	—
1417	C₂	—	4	16	no	—
1418	C₂	C₂×#62880	1	12	yes	direct product factor
1419	C₂	C₂⁴×H(5,𝔽₂)	1	1	yes	characteristic
1420	C₂	C₂²×H(7,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁴	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁸
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×#62880	C₂	direct (N × H)
2. C₂²×#3543	C₂	semidirect
3. C₂²×#3562	C₂	semidirect
4. C₂²×#3539	C₂	semidirect
5. C₂²×#3537	C₂	semidirect
6. C₂²×#3537	C₂	semidirect
7. C₂²×#3534	C₂	semidirect
8. C₂²×#3542	C₂	semidirect
9. C₂²×#3512	C₂	semidirect
10. C₂²×#3498	C₂	semidirect
11. C₂²×#3488	C₂	semidirect
12. C₂²×#3506	C₂	semidirect
13. C₂²×#3496	C₂	semidirect
14. C₂²×#3455	C₂	semidirect
15. C₂²×#3449	C₂	semidirect
16. C₂³×#540	C₂	semidirect
17. C₂³×H(5,𝔽₂)	C₂²	semidirect
18. C₂⁴×#41	C₂²	semidirect
19. #62880	C₂²	direct (N × H)
20. C₂×#3512	C₂²	semidirect
21. C₂×#3498	C₂²	semidirect
22. C₂×#3488	C₂²	semidirect
23. C₂×#3506	C₂²	semidirect
24. C₂×#3496	C₂²	semidirect
25. C₂×#3543	C₂²	semidirect
26. C₂×#3562	C₂²	semidirect
27. C₂×#3539	C₂²	semidirect
28. C₂×#3537	C₂²	semidirect
29. C₂×#3537	C₂²	semidirect
30. C₂×#3534	C₂²	semidirect
31. C₂×#3542	C₂²	semidirect
32. C₂²×#559	C₂²	semidirect
33. C₂²×#555	C₂²	semidirect
34. C₂²×#556	C₂²	semidirect
35. C₂²×#553	C₂²	semidirect
36. C₂²×#553	C₂²	semidirect
37. C₂²×#553	C₂²	semidirect
38. C₂²×#553	C₂²	semidirect
39. C₂²×#552	C₂²	semidirect
40. C₂²×#551	C₂²	semidirect
41. C₂²×#550	C₂²	semidirect
42. C₂²×#550	C₂²	semidirect
43. C₂²×#550	C₂²	semidirect
44. C₂²×#547	C₂²	semidirect
45. C₂²×#547	C₂²	semidirect
46. C₂²×#547	C₂²	semidirect
47. C₂²×#548	C₂²	semidirect
48. C₂²×#546	C₂²	semidirect
49. C₂²×#546	C₂²	semidirect
50. C₂²×#546	C₂²	semidirect
51. C₂²×#546	C₂²	semidirect
52. C₂²×#546	C₂²	semidirect
53. C₂²×D₄²	C₂²	semidirect
54. C₂²×D₄²	C₂²	semidirect
55. C₂²×D₄²	C₂²	semidirect
56. C₂²×D₄²	C₂²	semidirect
57. C₂²×D₄²	C₂²	semidirect
58. C₂²×D₄²	C₂²	semidirect
59. C₂²×D₄²	C₂²	semidirect
60. C₂²×#562	C₂²	semidirect
61. C₂²×#560	C₂²	semidirect
62. C₂²×#560	C₂²	semidirect
63. C₂²×#560	C₂²	semidirect
64. C₂×#3455	C₂²	semidirect
65. C₂×#3449	C₂²	semidirect
66. C₂²×#541	C₂²	semidirect
67. C₂²×#541	C₂²	semidirect
68. C₂²×#536	C₂²	semidirect
69. C₂²×#542	C₂²	semidirect
70. C₂²×#540	C₂²	semidirect
71. C₂²×#540	C₂²	semidirect
72. C₂²×#540	C₂²	semidirect
73. C₂²×#540	C₂²	semidirect
74. C₂²×#540	C₂²	semidirect
75. C₂²×#540	C₂²	semidirect
76. C₂²×#540	C₂²	semidirect
77. C₂²×#540	C₂²	semidirect
78. C₂²×#537	C₂²	semidirect
79. C₂²×#537	C₂²	semidirect
80. C₂²×#537	C₂²	semidirect
81. C₂²×#535	C₂²	semidirect
82. C₂²×#535	C₂²	semidirect
83. C₂²×#535	C₂²	semidirect
84. C₂²×#535	C₂²	semidirect
85. C₂²×#535	C₂²	semidirect
86. C₂²×#539	C₂²	semidirect
87. C₂²×#539	C₂²	semidirect
88. C₂²×#538	C₂²	semidirect
89. C₂²×#538	C₂²	semidirect
90. C₂²×#538	C₂²	semidirect
91. C₂²×#538	C₂²	semidirect
92. C₂²×#534	C₂²	semidirect
93. C₂²×#534	C₂²	semidirect
94. C₂²×#534	C₂²	semidirect
95. C₂²×#534	C₂²	semidirect
96. C₂²×#533	C₂²	semidirect
97. C₂²×#532	C₂²	semidirect
98. C₂²×#532	C₂²	semidirect
99. C₂²×#532	C₂²	semidirect
100. C₂²×#532	C₂²	semidirect
101. C₂³×#127	C₂²	semidirect
102. C₂³×#127	C₂²	semidirect
103. C₂²×#529	C₂²	semidirect
104. C₂²×#529	C₂²	semidirect
105. C₂³×#125	C₂²	semidirect
106. C₂²×#525	C₂²	semidirect
107. C₂²×#525	C₂²	semidirect
108. C₂²×#525	C₂²	semidirect
109. C₂²×#525	C₂²	semidirect
110. C₂²×#525	C₂²	semidirect
111. C₂³×#123	C₂²	semidirect
112. C₂³×#121	C₂²	semidirect
113. C₂³×#121	C₂²	semidirect
114. C₂³×#121	C₂²	semidirect
115. C₂³×#121	C₂²	semidirect
116. C₂²×#520	C₂²	semidirect
117. C₂²×C₄×#41	C₂²	semidirect
118. C₂³×C₄×D₄	C₂²	semidirect
119. C₂³×#117	C₂²	semidirect
121. C₂²×H(5,𝔽₂)	C₂³	semidirect
131. C₂³×#41	C₂³	semidirect
147. #3562	C₂³	semidirect
148. #3543	C₂³	semidirect
149. #3542	C₂³	semidirect
150. #3539	C₂³	semidirect
151. #3537	C₂³	semidirect
152. #3537	C₂³	semidirect
153. #3534	C₂³	semidirect
154. C₂×#562	C₂³	semidirect
155. C₂×#560	C₂³	semidirect
156. C₂×#560	C₂³	semidirect
157. C₂×#560	C₂³	semidirect
158. #3512	C₂³	semidirect
159. #3506	C₂³	semidirect
160. #3498	C₂³	semidirect
161. #3496	C₂³	semidirect
162. #3488	C₂³	semidirect
163. C₂×#559	C₂³	semidirect
164. C₂×#556	C₂³	semidirect
165. C₂×#555	C₂³	semidirect
166. C₂×#553	C₂³	semidirect
167. C₂×#553	C₂³	semidirect
168. C₂×#553	C₂³	semidirect
169. C₂×#553	C₂³	semidirect
170. C₂×#552	C₂³	semidirect
171. C₂×#551	C₂³	semidirect
172. C₂×#550	C₂³	semidirect
173. C₂×#550	C₂³	semidirect
174. C₂×#550	C₂³	semidirect
175. C₂×#548	C₂³	semidirect
176. C₂×#547	C₂³	semidirect
177. C₂×#547	C₂³	semidirect
178. C₂×#547	C₂³	semidirect
179. C₂×#546	C₂³	semidirect
180. C₂×#546	C₂³	semidirect
181. C₂×#546	C₂³	semidirect
182. C₂×#546	C₂³	semidirect
183. C₂×#546	C₂³	semidirect
184. C₂×D₄²	C₂³	semidirect
185. C₂×D₄²	C₂³	semidirect
186. C₂×D₄²	C₂³	semidirect
187. C₂×D₄²	C₂³	semidirect
188. C₂×D₄²	C₂³	semidirect
189. C₂×D₄²	C₂³	semidirect
190. C₂×D₄²	C₂³	semidirect
191. #3455	C₂³	semidirect
192. C₂×#542	C₂³	semidirect
193. C₂×#541	C₂³	semidirect
194. C₂×#541	C₂³	semidirect
195. C₂×#540	C₂³	semidirect
196. C₂×#540	C₂³	semidirect
197. C₂×#540	C₂³	semidirect
198. C₂×#540	C₂³	semidirect
199. C₂×#540	C₂³	semidirect
200. C₂×#540	C₂³	semidirect
201. C₂×#540	C₂³	semidirect
202. C₂×#540	C₂³	semidirect
203. C₂×#539	C₂³	semidirect
204. C₂×#539	C₂³	semidirect
205. C₂×#538	C₂³	semidirect
206. C₂×#538	C₂³	semidirect
207. C₂×#538	C₂³	semidirect
208. C₂×#538	C₂³	semidirect
209. #3449	C₂³	semidirect
210. C₂×#537	C₂³	semidirect
211. C₂×#537	C₂³	semidirect
212. C₂×#537	C₂³	semidirect
213. C₂×#536	C₂³	semidirect
214. C₂×#535	C₂³	semidirect
215. C₂×#535	C₂³	semidirect
216. C₂×#535	C₂³	semidirect
217. C₂×#535	C₂³	semidirect
218. C₂×#535	C₂³	semidirect
219. C₂×#534	C₂³	semidirect
220. C₂×#534	C₂³	semidirect
221. C₂×#534	C₂³	semidirect
222. C₂×#534	C₂³	semidirect
223. C₂×#533	C₂³	semidirect
224. C₂×#532	C₂³	semidirect
225. C₂×#532	C₂³	semidirect
226. C₂×#532	C₂³	semidirect
227. C₂×#532	C₂³	semidirect
240. C₂²×#127	C₂³	semidirect
241. C₂²×#127	C₂³	semidirect
242. C₂×#529	C₂³	semidirect
243. C₂×#529	C₂³	semidirect
254. C₂²×#125	C₂³	semidirect
262. C₂×#525	C₂³	semidirect
263. C₂×#525	C₂³	semidirect
264. C₂×#525	C₂³	semidirect
265. C₂×#525	C₂³	semidirect
266. C₂×#525	C₂³	semidirect
281. C₂²×#123	C₂³	semidirect
322. C₂²×#121	C₂³	semidirect
323. C₂²×#121	C₂³	semidirect
324. C₂²×#121	C₂³	semidirect
325. C₂²×#121	C₂³	semidirect
337. C₂×#520	C₂³	semidirect
338. C₂×C₄×#41	C₂³	semidirect
360. C₂²×C₄×D₄	C₂³	semidirect
369. C₂²×#117	C₂³	semidirect
388. C₂×H(5,𝔽₂)	C₂⁴	semidirect
406. C₂²×#41	C₂⁴	semidirect
477. #562	C₂⁴	semidirect
478. #560	C₂⁴	semidirect
479. #560	C₂⁴	semidirect
480. #560	C₂⁴	semidirect
481. #559	C₂⁴	semidirect
482. #556	C₂⁴	semidirect
483. #555	C₂⁴	semidirect
484. #553	C₂⁴	semidirect
485. #553	C₂⁴	semidirect
486. #553	C₂⁴	semidirect
487. #553	C₂⁴	semidirect
488. #552	C₂⁴	semidirect
489. #551	C₂⁴	semidirect
490. #550	C₂⁴	semidirect
491. #550	C₂⁴	semidirect
492. #550	C₂⁴	semidirect
493. #548	C₂⁴	semidirect
494. #547	C₂⁴	semidirect
495. #547	C₂⁴	semidirect
496. #547	C₂⁴	semidirect
497. #546	C₂⁴	semidirect
498. #546	C₂⁴	semidirect
499. #546	C₂⁴	semidirect
500. #546	C₂⁴	semidirect
501. #546	C₂⁴	semidirect
502. D₄²	C₂⁴	semidirect
503. D₄²	C₂⁴	semidirect
504. D₄²	C₂⁴	semidirect
505. D₄²	C₂⁴	semidirect
506. D₄²	C₂⁴	semidirect
507. D₄²	C₂⁴	semidirect
508. D₄²	C₂⁴	semidirect
509. #542	C₂⁴	semidirect
510. #541	C₂⁴	semidirect
511. #541	C₂⁴	semidirect
512. #540	C₂⁴	semidirect
513. #540	C₂⁴	semidirect
514. #540	C₂⁴	semidirect
515. #540	C₂⁴	semidirect
516. #540	C₂⁴	semidirect
517. #540	C₂⁴	semidirect
518. #540	C₂⁴	semidirect
519. #539	C₂⁴	semidirect
520. #539	C₂⁴	semidirect
521. #538	C₂⁴	semidirect
522. #538	C₂⁴	semidirect
523. #538	C₂⁴	semidirect
524. #538	C₂⁴	semidirect
525. #537	C₂⁴	semidirect
526. #537	C₂⁴	semidirect
527. #537	C₂⁴	semidirect
528. #536	C₂⁴	semidirect
529. #535	C₂⁴	semidirect
530. #535	C₂⁴	semidirect
531. #535	C₂⁴	semidirect
532. #535	C₂⁴	semidirect
533. #535	C₂⁴	semidirect
534. #534	C₂⁴	semidirect
535. #534	C₂⁴	semidirect
536. #534	C₂⁴	semidirect
537. #534	C₂⁴	semidirect
538. #533	C₂⁴	semidirect
539. #532	C₂⁴	semidirect
540. #532	C₂⁴	semidirect
541. #532	C₂⁴	semidirect
542. #532	C₂⁴	semidirect
555. C₂×#127	C₂⁴	semidirect
556. C₂×#127	C₂⁴	semidirect
557. #529	C₂⁴	semidirect
558. #529	C₂⁴	semidirect
569. C₂×#125	C₂⁴	semidirect
577. #525	C₂⁴	semidirect
578. #525	C₂⁴	semidirect
579. #525	C₂⁴	semidirect
580. #525	C₂⁴	semidirect
581. #525	C₂⁴	semidirect
596. C₂×#123	C₂⁴	semidirect
637. C₂×#121	C₂⁴	semidirect
638. C₂×#121	C₂⁴	semidirect
639. C₂×#121	C₂⁴	semidirect
640. C₂×#121	C₂⁴	semidirect
652. #520	C₂⁴	semidirect
653. C₄×#41	C₂⁴	semidirect
675. C₂×C₄×D₄	C₂⁴	semidirect
684. C₂×#117	C₂⁴	semidirect
1398. C₂²	#62880	direct (N × H)
1418. C₂	C₂×#62880	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×#62880	2
C₂²×#3543	2
C₂²×#3562	2
C₂²×#3539	2
C₂²×#3537	2
C₂²×#3534	2
C₂²×#3542	2
C₂²×#3512	2
C₂²×#3498	2
C₂²×#3488	2
C₂²×#3506	2
C₂²×#3496	2
C₂²×#3455	2
C₂²×#3449	2
C₂³×#540	2

Subgroups — C22×#62880 #72299720

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#62880 #72299720