Subgroups — C₂²×#3566 #10586142

Order 512.

32622 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3566	C₂	1	96	yes	maximal, direct product factor
2	C₂²×#559	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#555	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#556	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×#553	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×#553	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×#553	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#552	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#552	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#552	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#551	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#551	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#551	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²×#563	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂²×#562	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#562	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×#560	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×#541	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#541	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#542	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#542	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#542	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#540	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#539	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#539	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂²×#539	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂²×#538	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂²×#538	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂²×#538	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂²×#529	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂²×#529	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#529	C₂	1	1	yes	maximal, characteristic, complemented
33	#3566	C₂²	1	1024	yes	direct product factor
34	C₂×#563	C₂²	1	48	yes	complemented
35	C₂×#562	C₂²	1	48	yes	complemented
36	C₂×#562	C₂²	1	48	yes	complemented
37	C₂×#560	C₂²	1	48	yes	complemented
38	C₂×#559	C₂²	1	48	yes	complemented
39	C₂×#556	C₂²	1	48	yes	complemented
40	C₂×#555	C₂²	1	48	yes	complemented
41	C₂×#553	C₂²	1	48	yes	complemented
42	C₂×#553	C₂²	1	48	yes	complemented
43	C₂×#553	C₂²	1	48	yes	complemented
44	C₂×#552	C₂²	1	48	yes	complemented
45	C₂×#552	C₂²	1	48	yes	complemented
46	C₂×#552	C₂²	1	48	yes	complemented
47	C₂×#551	C₂²	1	48	yes	complemented
48	C₂×#551	C₂²	1	48	yes	complemented
49	C₂×#551	C₂²	1	48	yes	complemented
50	C₂×#542	C₂²	1	48	yes	complemented
51	C₂×#542	C₂²	1	48	yes	complemented
52	C₂×#542	C₂²	1	48	yes	complemented
53	C₂×#541	C₂²	1	48	yes	complemented
54	C₂×#541	C₂²	1	48	yes	complemented
55	C₂×#540	C₂²	1	48	yes	complemented
56	C₂×#539	C₂²	1	48	yes	complemented
57	C₂×#539	C₂²	1	48	yes	complemented
58	C₂×#539	C₂²	1	48	yes	complemented
59	C₂×#538	C₂²	1	48	yes	complemented
60	C₂×#538	C₂²	1	48	yes	complemented
61	C₂×#538	C₂²	1	48	yes	complemented
62	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
63	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
65	C₂²×#127	C₂²	1	1	yes	characteristic
66	C₂×#529	C₂²	1	48	yes	complemented
67	C₂×#529	C₂²	1	48	yes	complemented
68	C₂×#529	C₂²	1	48	yes	complemented
69	C₂²×#126	C₂²	1	1	yes	characteristic
70	C₂²×#126	C₂²	1	1	yes	characteristic
71	C₂²×#126	C₂²	1	1	yes	characteristic
72	C₂²×#126	C₂²	1	1	yes	characteristic
73	C₂²×#126	C₂²	1	1	yes	characteristic
74	C₂²×#126	C₂²	1	1	yes	characteristic
75	C₂²×#126	C₂²	1	1	yes	characteristic
76	C₂²×#126	C₂²	1	1	yes	characteristic
77	C₂²×#126	C₂²	1	1	yes	characteristic
78	C₂²×#126	C₂²	1	1	yes	characteristic
79	C₂²×#126	C₂²	1	1	yes	characteristic
80	C₂²×#126	C₂²	1	1	yes	characteristic
81	C₂²×#126	C₂²	1	1	yes	characteristic
82	C₂²×#126	C₂²	1	1	yes	characteristic
83	C₂²×#126	C₂²	1	1	yes	characteristic, complemented
84	C₂²×#126	C₂²	1	1	yes	characteristic, complemented
85	C₂²×#126	C₂²	1	1	yes	characteristic, complemented
86	C₂²×#126	C₂²	1	1	yes	characteristic, complemented
87	C₂²×#126	C₂²	1	1	yes	characteristic, complemented
88	C₂²×#126	C₂²	1	1	yes	characteristic, complemented
89	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
90	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
91	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
92	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
93	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
94	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
95	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
96	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
97	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
98	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
99	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
100	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
101	C₂²×#124	C₂²	1	1	yes	characteristic
102	C₂²×#124	C₂²	1	1	yes	characteristic
103	C₂²×#124	C₂²	1	1	yes	characteristic
104	C₂²×#124	C₂²	1	1	yes	characteristic
105	C₂²×#124	C₂²	1	1	yes	characteristic
106	C₂²×#124	C₂²	1	1	yes	characteristic
107	C₂²×#124	C₂²	1	1	yes	characteristic
108	C₂²×#124	C₂²	1	1	yes	characteristic
109	C₂²×#124	C₂²	1	1	yes	characteristic
110	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
111	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
112	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
113	C₂²×#123	C₂²	1	1	yes	characteristic
114	C₂²×#123	C₂²	1	1	yes	characteristic
115	C₂²×#123	C₂²	1	1	yes	characteristic
116	C₂²×#123	C₂²	1	1	yes	characteristic
117	C₂²×#123	C₂²	1	1	yes	characteristic
118	C₂²×#123	C₂²	1	1	yes	characteristic
119	C₂²×#123	C₂²	1	1	yes	characteristic
120	C₂²×#123	C₂²	1	1	yes	characteristic
121	C₂²×#123	C₂²	1	1	yes	characteristic
122	C₂²×#123	C₂²	1	1	yes	characteristic
123	C₂²×#123	C₂²	1	1	yes	characteristic
124	C₂²×#123	C₂²	1	1	yes	characteristic
125	C₂²×#123	C₂²	1	1	yes	characteristic
126	C₂²×#123	C₂²	1	1	yes	characteristic
127	C₂²×#123	C₂²	1	1	yes	characteristic
128	C₂²×#123	C₂²	1	1	yes	characteristic
129	C₂²×#123	C₂²	1	1	yes	characteristic
130	C₂²×#123	C₂²	1	1	yes	characteristic
131	C₂²×#123	C₂²	1	1	yes	characteristic, complemented
132	C₂²×#123	C₂²	1	1	yes	characteristic, complemented
133	C₂²×#123	C₂²	1	1	yes	characteristic, complemented
134	C₂²×#123	C₂²	1	1	yes	characteristic, complemented
135	C₂²×#123	C₂²	1	1	yes	characteristic, complemented
136	C₂²×#123	C₂²	1	1	yes	characteristic, complemented
137	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
138	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
139	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
140	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
141	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
142	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
143	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
144	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
145	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
146	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
147	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
148	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
149	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
150	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
151	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
152	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
153	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
154	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
155	C₂²×#121	C₂²	1	1	yes	characteristic
156	C₂²×#121	C₂²	1	1	yes	characteristic
157	C₂²×#121	C₂²	1	1	yes	characteristic
158	C₂²×#121	C₂²	1	1	yes	characteristic
159	C₂²×#121	C₂²	1	1	yes	characteristic
160	C₂²×#121	C₂²	1	1	yes	characteristic
161	C₂²×#121	C₂²	1	1	yes	characteristic
162	C₂²×#121	C₂²	1	1	yes	characteristic
163	C₂²×#121	C₂²	1	1	yes	characteristic
164	C₂²×#121	C₂²	1	1	yes	characteristic
165	C₂²×#121	C₂²	1	1	yes	characteristic
166	C₂²×#121	C₂²	1	1	yes	characteristic
167	C₂²×#121	C₂²	1	1	yes	characteristic
168	C₂²×#121	C₂²	1	1	yes	characteristic
169	C₂²×#121	C₂²	1	1	yes	characteristic
170	C₂²×#121	C₂²	1	1	yes	characteristic, complemented
171	C₂²×#121	C₂²	1	1	yes	characteristic, complemented
172	C₂²×#121	C₂²	1	1	yes	characteristic, complemented
173	C₂²×#120	C₂²	1	1	yes	characteristic
174	C₂²×#120	C₂²	1	1	yes	characteristic
175	C₂²×#120	C₂²	1	1	yes	characteristic
176	C₂²×#120	C₂²	1	1	yes	characteristic
177	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
178	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
179	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
180	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
181	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
182	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
183	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
184	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
185	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
186	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
187	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
188	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
189	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
190	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
191	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
192	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
193	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
194	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
195	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
196	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
197	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
198	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
199	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
200	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
201	C₂²×#117	C₂²	1	1	yes	characteristic
202	C₂²×#117	C₂²	1	1	yes	characteristic
203	C₂²×#117	C₂²	1	1	yes	characteristic
204	C₂²×#117	C₂²	1	1	yes	characteristic
205	C₂²×#117	C₂²	1	1	yes	characteristic
206	C₂²×#117	C₂²	1	1	yes	characteristic
207	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
208	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
209	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
210	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
211	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
212	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
213	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
214	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
215	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
216	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
217	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
218	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
219	C₂³×C₄²	C₂²	1	1	yes	characteristic, complemented
220	C₂⁶	C₂³	1	1	yes	characteristic
221	C₂³×Q₈	C₂³	1	1	yes	characteristic
222	C₂³×Q₈	C₂³	1	1	yes	characteristic
223	C₂³×Q₈	C₂³	1	1	yes	characteristic
224	C₂³×Q₈	C₂³	1	1	yes	characteristic
225	C₂³×Q₈	C₂³	1	1	yes	characteristic
226	C₂³×Q₈	C₂³	1	1	yes	characteristic
227	C₂³×D₄	C₂³	1	1	yes	characteristic
228	C₂³×D₄	C₂³	1	1	yes	characteristic
229	C₂³×D₄	C₂³	1	1	yes	characteristic
230	C₂³×D₄	C₂³	1	1	yes	characteristic
231	C₂³×D₄	C₂³	1	1	yes	characteristic
232	C₂³×D₄	C₂³	1	1	yes	characteristic
233	C₂³×D₄	C₂³	1	1	yes	characteristic
234	C₂³×D₄	C₂³	1	1	yes	characteristic
235	C₂³×D₄	C₂³	1	1	yes	characteristic
236	C₂³×D₄	C₂³	1	1	yes	characteristic
237	C₂³×D₄	C₂³	1	1	yes	characteristic
238	C₂³×D₄	C₂³	1	1	yes	characteristic
239	C₂³×D₄	C₂³	1	1	yes	characteristic
240	C₂³×D₄	C₂³	1	1	yes	characteristic
241	C₂³×D₄	C₂³	1	1	yes	characteristic
242	C₂³×D₄	C₂³	1	1	yes	characteristic
243	C₂³×D₄	C₂³	1	1	yes	characteristic
244	C₂³×D₄	C₂³	1	1	yes	characteristic
245	C₂⁴×C₄	C₂³	1	1	yes	characteristic
246	C₂⁴×C₄	C₂³	1	1	yes	characteristic
247	C₂⁴×C₄	C₂³	1	1	yes	characteristic
248	C₂⁴×C₄	C₂³	1	1	yes	characteristic
249	C₂⁴×C₄	C₂³	1	1	yes	characteristic
250	C₂⁴×C₄	C₂³	1	1	yes	characteristic
251	C₂⁴×C₄	C₂³	1	1	yes	characteristic
252	C₂⁴×C₄	C₂³	1	1	yes	characteristic
253	C₂⁴×C₄	C₂³	1	1	yes	characteristic
254	C₂⁴×C₄	C₂³	1	1	yes	characteristic
255	C₂⁴×C₄	C₂³	1	1	yes	characteristic
256	C₂⁴×C₄	C₂³	1	1	yes	characteristic
257	C₂⁴×C₄	C₂³	1	1	yes	characteristic
258	C₂⁴×C₄	C₂³	1	1	yes	characteristic
259	C₂⁴×C₄	C₂³	1	1	yes	characteristic
260	C₂⁴×C₄	C₂³	1	1	yes	characteristic
261	C₂⁴×C₄	C₂³	1	1	yes	characteristic
262	C₂⁴×C₄	C₂³	1	1	yes	characteristic
263	#563	C₂³	1	256	yes	complemented
264	#562	C₂³	1	256	yes	complemented
265	#562	C₂³	1	256	yes	complemented
266	#560	C₂³	1	256	yes	complemented
267	#559	C₂³	1	256	yes	complemented
268	#556	C₂³	1	256	yes	complemented
269	#555	C₂³	1	256	yes	complemented
270	#553	C₂³	1	256	yes	complemented
271	#553	C₂³	1	256	yes	complemented
272	#553	C₂³	1	256	yes	complemented
273	#552	C₂³	1	256	yes	complemented
274	#552	C₂³	1	256	yes	complemented
275	#552	C₂³	1	256	yes	complemented
276	#551	C₂³	1	256	yes	complemented
277	#551	C₂³	1	256	yes	complemented
278	#551	C₂³	1	256	yes	complemented
279	#542	C₂³	1	256	yes	complemented
280	#542	C₂³	1	256	yes	complemented
281	#542	C₂³	1	256	yes	complemented
282	#541	C₂³	1	256	yes	complemented
283	#541	C₂³	1	256	yes	complemented
284	#540	C₂³	1	256	yes	complemented
285	#539	C₂³	1	256	yes	complemented
286	#539	C₂³	1	256	yes	complemented
287	#539	C₂³	1	256	yes	complemented
288	#538	C₂³	1	256	yes	complemented
289	#538	C₂³	1	256	yes	complemented
290	#538	C₂³	1	256	yes	complemented
291	C₂×C₄⋊Q₈	C₂³	1	24	yes	complemented
292	C₂×C₄⋊Q₈	C₂³	1	24	yes	complemented
293	C₂×C₄⋊Q₈	C₂³	1	24	yes	complemented
294	C₂×#127	C₂³	1	24	yes	—
295	#529	C₂³	1	256	yes	complemented
296	#529	C₂³	1	256	yes	complemented
297	#529	C₂³	1	256	yes	complemented
298	C₂×#126	C₂³	1	24	yes	—
299	C₂×#126	C₂³	1	24	yes	—
300	C₂×#126	C₂³	1	24	yes	—
301	C₂×#126	C₂³	1	24	yes	—
302	C₂×#126	C₂³	1	24	yes	—
303	C₂×#126	C₂³	1	24	yes	—
304	C₂×#126	C₂³	1	24	yes	—
305	C₂×#126	C₂³	1	24	yes	—
306	C₂×#126	C₂³	1	24	yes	—
307	C₂×#126	C₂³	1	24	yes	—
308	C₂×#126	C₂³	1	24	yes	—
309	C₂×#126	C₂³	1	24	yes	—
310	C₂×#126	C₂³	1	24	yes	—
311	C₂×#126	C₂³	1	24	yes	—
312	C₂×#126	C₂³	1	24	yes	complemented
313	C₂×#126	C₂³	1	24	yes	complemented
314	C₂×#126	C₂³	1	24	yes	complemented
315	C₂×#126	C₂³	1	24	yes	complemented
316	C₂×#126	C₂³	1	24	yes	complemented
317	C₂×#126	C₂³	1	24	yes	complemented
318	C₂×#125	C₂³	1	24	yes	complemented
319	C₂×#125	C₂³	1	24	yes	complemented
320	C₂×#125	C₂³	1	24	yes	complemented
321	C₂×#125	C₂³	1	24	yes	complemented
322	C₂×#125	C₂³	1	24	yes	complemented
323	C₂×#125	C₂³	1	24	yes	complemented
324	C₂×#125	C₂³	1	24	yes	complemented
325	C₂×#125	C₂³	1	24	yes	complemented
326	C₂×#125	C₂³	1	24	yes	complemented
327	C₂×#125	C₂³	1	24	yes	complemented
328	C₂×#125	C₂³	1	24	yes	complemented
329	C₂×#125	C₂³	1	24	yes	complemented
330	C₂×#124	C₂³	1	24	yes	—
331	C₂×#124	C₂³	1	24	yes	—
332	C₂×#124	C₂³	1	24	yes	—
333	C₂×#124	C₂³	1	24	yes	—
334	C₂×#124	C₂³	1	24	yes	—
335	C₂×#124	C₂³	1	24	yes	—
336	C₂×#124	C₂³	1	24	yes	—
337	C₂×#124	C₂³	1	24	yes	—
338	C₂×#124	C₂³	1	24	yes	—
339	C₂×#124	C₂³	1	24	yes	complemented
340	C₂×#124	C₂³	1	24	yes	complemented
341	C₂×#124	C₂³	1	24	yes	complemented
342	C₂×#123	C₂³	1	24	yes	—
343	C₂×#123	C₂³	1	24	yes	—
344	C₂×#123	C₂³	1	24	yes	—
345	C₂×#123	C₂³	1	24	yes	—
346	C₂×#123	C₂³	1	24	yes	—
347	C₂×#123	C₂³	1	24	yes	—
348	C₂×#123	C₂³	1	24	yes	—
349	C₂×#123	C₂³	1	24	yes	—
350	C₂×#123	C₂³	1	24	yes	—
351	C₂×#123	C₂³	1	24	yes	—
352	C₂×#123	C₂³	1	24	yes	—
353	C₂×#123	C₂³	1	24	yes	—
354	C₂×#123	C₂³	1	24	yes	—
355	C₂×#123	C₂³	1	24	yes	—
356	C₂×#123	C₂³	1	24	yes	—
357	C₂×#123	C₂³	1	24	yes	—
358	C₂×#123	C₂³	1	24	yes	—
359	C₂×#123	C₂³	1	24	yes	—
360	C₂×#123	C₂³	1	24	yes	complemented
361	C₂×#123	C₂³	1	24	yes	complemented
362	C₂×#123	C₂³	1	24	yes	complemented
363	C₂×#123	C₂³	1	24	yes	complemented
364	C₂×#123	C₂³	1	24	yes	complemented
365	C₂×#123	C₂³	1	24	yes	complemented
366	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
367	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
368	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
369	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
370	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
371	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
372	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
373	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
374	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
375	C₂×C₂²⋊Q₈	C₂³	1	24	yes	complemented
376	C₂×C₂²⋊Q₈	C₂³	1	24	yes	complemented
377	C₂×C₂²⋊Q₈	C₂³	1	24	yes	complemented
378	C₂×C₂²⋊Q₈	C₂³	1	24	yes	complemented
379	C₂×C₂²⋊Q₈	C₂³	1	24	yes	complemented
380	C₂×C₂²⋊Q₈	C₂³	1	24	yes	complemented
381	C₂×C₂²⋊Q₈	C₂³	1	24	yes	complemented
382	C₂×C₂²⋊Q₈	C₂³	1	24	yes	complemented
383	C₂×C₂²⋊Q₈	C₂³	1	24	yes	complemented
384	C₂×#121	C₂³	1	24	yes	—
385	C₂×#121	C₂³	1	24	yes	—
386	C₂×#121	C₂³	1	24	yes	—
387	C₂×#121	C₂³	1	24	yes	—
388	C₂×#121	C₂³	1	24	yes	—
389	C₂×#121	C₂³	1	24	yes	—
390	C₂×#121	C₂³	1	24	yes	—
391	C₂×#121	C₂³	1	24	yes	—
392	C₂×#121	C₂³	1	24	yes	—
393	C₂×#121	C₂³	1	24	yes	—
394	C₂×#121	C₂³	1	24	yes	—
395	C₂×#121	C₂³	1	24	yes	—
396	C₂×#121	C₂³	1	24	yes	—
397	C₂×#121	C₂³	1	24	yes	—
398	C₂×#121	C₂³	1	24	yes	—
399	C₂×#121	C₂³	1	24	yes	complemented
400	C₂×#121	C₂³	1	24	yes	complemented
401	C₂×#121	C₂³	1	24	yes	complemented
402	C₂×#120	C₂³	1	24	yes	—
403	C₂×#120	C₂³	1	24	yes	—
404	C₂×#120	C₂³	1	24	yes	—
405	C₂×#120	C₂³	1	24	yes	—
406	C₂×C₄×Q₈	C₂³	1	24	yes	complemented
407	C₂×C₄×Q₈	C₂³	1	24	yes	complemented
408	C₂×C₄×Q₈	C₂³	1	24	yes	complemented
409	C₂×C₄×Q₈	C₂³	1	24	yes	complemented
410	C₂×C₄×Q₈	C₂³	1	24	yes	complemented
411	C₂×C₄×Q₈	C₂³	1	24	yes	complemented
412	C₂×C₄×D₄	C₂³	1	24	yes	—
413	C₂×C₄×D₄	C₂³	1	24	yes	—
414	C₂×C₄×D₄	C₂³	1	24	yes	—
415	C₂×C₄×D₄	C₂³	1	24	yes	—
416	C₂×C₄×D₄	C₂³	1	24	yes	—
417	C₂×C₄×D₄	C₂³	1	24	yes	—
418	C₂×C₄×D₄	C₂³	1	24	yes	—
419	C₂×C₄×D₄	C₂³	1	24	yes	—
420	C₂×C₄×D₄	C₂³	1	24	yes	—
421	C₂×C₄×D₄	C₂³	1	24	yes	—
422	C₂×C₄×D₄	C₂³	1	24	yes	—
423	C₂×C₄×D₄	C₂³	1	24	yes	—
424	C₂×C₄×D₄	C₂³	1	24	yes	complemented
425	C₂×C₄×D₄	C₂³	1	24	yes	complemented
426	C₂×C₄×D₄	C₂³	1	24	yes	complemented
427	C₂×C₄×D₄	C₂³	1	24	yes	complemented
428	C₂×C₄×D₄	C₂³	1	24	yes	complemented
429	C₂×C₄×D₄	C₂³	1	24	yes	complemented
430	C₂×#117	C₂³	1	24	yes	—
431	C₂×#117	C₂³	1	24	yes	—
432	C₂×#117	C₂³	1	24	yes	—
433	C₂×#117	C₂³	1	24	yes	—
434	C₂×#117	C₂³	1	24	yes	—
435	C₂×#117	C₂³	1	24	yes	—
436	C₂×#117	C₂³	1	24	yes	complemented
437	C₂×#117	C₂³	1	24	yes	complemented
438	C₂×#117	C₂³	1	24	yes	complemented
439	C₂×#117	C₂³	1	24	yes	complemented
440	C₂×#117	C₂³	1	24	yes	complemented
441	C₂×#117	C₂³	1	24	yes	complemented
442	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
443	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
444	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
445	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
446	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
447	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
448	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
449	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
450	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
451	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
452	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
453	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
454	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
455	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
456	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
457	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
458	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
459	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
460	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
461	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
462	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
463	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
464	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
465	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
466	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
467	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
468	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
469	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
470	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
471	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
472	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
473	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
474	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
475	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
476	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
477	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
478	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
479	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
480	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
481	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
482	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
483	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
484	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
485	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
486	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
487	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
488	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
489	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
490	C₂²×C₄⋊C₄	C₂³	1	24	yes	complemented
491	C₂²×C₄⋊C₄	C₂³	1	24	yes	complemented
492	C₂²×C₄⋊C₄	C₂³	1	24	yes	complemented
493	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
494	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
495	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
496	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
497	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
498	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
499	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
500	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
501	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
502	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
503	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
504	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
505	C₂²×C₂²⋊C₄	C₂³	1	24	yes	—
506	C₂²×C₂²⋊C₄	C₂³	1	24	yes	—
507	C₂²×C₂²⋊C₄	C₂³	1	24	yes	—
508	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
509	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
510	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
511	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
512	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
513	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
514	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
515	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
516	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
517	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
518	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
519	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
520	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
521	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
522	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
523	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
524	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
525	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
526	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
527	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
528	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
529	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
530	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
531	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
532	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
533	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
534	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
535	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
536	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
537	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
538	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
539	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
540	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
541	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
542	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
543	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
544	C₂²×C₄²	C₂³	1	1	yes	characteristic
545	C₂²×C₄²	C₂³	1	1	yes	characteristic
546	C₂²×C₄²	C₂³	1	1	yes	characteristic
547	C₂²×C₄²	C₂³	1	1	yes	characteristic
548	C₂²×C₄²	C₂³	1	1	yes	characteristic
549	C₂²×C₄²	C₂³	1	1	yes	characteristic
550	C₂²×C₄²	C₂³	1	1	yes	characteristic
551	C₂²×C₄²	C₂³	1	1	yes	characteristic
552	C₂²×C₄²	C₂³	1	1	yes	characteristic
553	C₂²×C₄²	C₂³	1	1	yes	characteristic
554	C₂²×C₄²	C₂³	1	1	yes	characteristic
555	C₂²×C₄²	C₂³	1	1	yes	characteristic
556	C₂²×C₄²	C₂³	1	1	yes	characteristic
557	C₂²×C₄²	C₂³	1	1	yes	characteristic
558	C₂²×C₄²	C₂³	1	1	yes	characteristic
559	C₂²×C₄²	C₂³	1	1	yes	characteristic
560	C₂²×C₄²	C₂³	1	24	yes	complemented
561	C₂⁵	—	4	4	no	—
562	C₂⁵	—	4	4	no	—
563	C₂⁵	—	4	4	no	—
564	C₂⁵	C₂⁴	1	1	yes	characteristic
565	C₂⁵	C₂⁴	1	1	yes	characteristic
566	C₂⁵	C₂⁴	1	1	yes	characteristic
567	C₂⁵	C₂⁴	1	1	yes	characteristic
568	C₂⁵	C₂⁴	1	1	yes	characteristic
569	C₂⁵	C₂⁴	1	1	yes	characteristic
570	C₂⁵	C₂⁴	1	1	yes	characteristic
571	C₂⁵	C₂⁴	1	12	yes	—
572	C₂²×Q₈	—	4	4	no	—
573	C₂²×Q₈	—	4	4	no	—
574	C₂²×Q₈	—	4	4	no	—
575	C₂²×Q₈	—	4	4	no	—
576	C₂²×Q₈	—	4	4	no	—
577	C₂²×Q₈	—	4	4	no	—
578	C₂²×Q₈	C₂⁴	1	12	yes	—
579	C₂²×Q₈	C₂⁴	1	12	yes	—
580	C₂²×Q₈	C₂⁴	1	12	yes	—
581	C₂²×Q₈	C₂⁴	1	12	yes	—
582	C₂²×Q₈	C₂⁴	1	12	yes	—
583	C₂²×Q₈	C₂⁴	1	12	yes	—
584	C₂²×D₄	—	4	4	no	—
585	C₂²×D₄	—	4	4	no	—
586	C₂²×D₄	—	4	4	no	—
587	C₂²×D₄	—	4	4	no	—
588	C₂²×D₄	—	4	4	no	—
589	C₂²×D₄	—	4	4	no	—
590	C₂²×D₄	—	4	4	no	—
591	C₂²×D₄	—	4	4	no	—
592	C₂²×D₄	—	4	4	no	—
593	C₂²×D₄	—	4	4	no	—
594	C₂²×D₄	—	4	4	no	—
595	C₂²×D₄	—	4	4	no	—
596	C₂²×D₄	—	4	4	no	—
597	C₂²×D₄	—	4	4	no	—
598	C₂²×D₄	—	4	4	no	—
599	C₂²×D₄	—	4	4	no	—
600	C₂²×D₄	—	4	4	no	—
601	C₂²×D₄	—	4	4	no	—
602	C₂²×D₄	C₂⁴	1	12	yes	—
603	C₂²×D₄	C₂⁴	1	12	yes	—
604	C₂²×D₄	C₂⁴	1	12	yes	—
605	C₂²×D₄	C₂⁴	1	12	yes	—
606	C₂²×D₄	C₂⁴	1	12	yes	—
607	C₂²×D₄	C₂⁴	1	12	yes	—
608	C₂²×D₄	C₂⁴	1	12	yes	—
609	C₂²×D₄	C₂⁴	1	12	yes	—
610	C₂²×D₄	C₂⁴	1	12	yes	—
611	C₂²×D₄	C₂⁴	1	12	yes	—
612	C₂²×D₄	C₂⁴	1	12	yes	—
613	C₂²×D₄	C₂⁴	1	12	yes	—
614	C₂²×D₄	C₂⁴	1	12	yes	—
615	C₂²×D₄	C₂⁴	1	12	yes	—
616	C₂²×D₄	C₂⁴	1	12	yes	—
617	C₂²×D₄	C₂⁴	1	12	yes	—
618	C₂²×D₄	C₂⁴	1	12	yes	—
619	C₂²×D₄	C₂⁴	1	12	yes	—
620	C₂³×C₄	—	4	4	no	—
621	C₂³×C₄	—	4	4	no	—
622	C₂³×C₄	—	4	4	no	—
623	C₂³×C₄	—	4	4	no	—
624	C₂³×C₄	—	4	4	no	—
625	C₂³×C₄	—	4	4	no	—
626	C₂³×C₄	—	4	4	no	—
627	C₂³×C₄	—	4	4	no	—
628	C₂³×C₄	—	4	4	no	—
629	C₂³×C₄	—	4	4	no	—
630	C₂³×C₄	—	4	4	no	—
631	C₂³×C₄	—	4	4	no	—
632	C₂³×C₄	—	4	4	no	—
633	C₂³×C₄	—	4	4	no	—
634	C₂³×C₄	—	4	4	no	—
635	C₂³×C₄	—	4	4	no	—
636	C₂³×C₄	—	4	4	no	—
637	C₂³×C₄	—	4	4	no	—
638	C₂³×C₄	C₂⁴	1	1	yes	characteristic
639	C₂³×C₄	C₂⁴	1	1	yes	characteristic
640	C₂³×C₄	C₂⁴	1	1	yes	characteristic
641	C₂³×C₄	C₂⁴	1	1	yes	characteristic
642	C₂³×C₄	C₂⁴	1	1	yes	characteristic
643	C₂³×C₄	C₂⁴	1	1	yes	characteristic
644	C₂³×C₄	C₂⁴	1	1	yes	characteristic
645	C₂³×C₄	C₂⁴	1	1	yes	characteristic
646	C₂³×C₄	C₂⁴	1	1	yes	characteristic
647	C₂³×C₄	C₂⁴	1	1	yes	characteristic
648	C₂³×C₄	C₂⁴	1	1	yes	characteristic
649	C₂³×C₄	C₂⁴	1	1	yes	characteristic
650	C₂³×C₄	C₂⁴	1	1	yes	characteristic
651	C₂³×C₄	C₂⁴	1	1	yes	characteristic
652	C₂³×C₄	C₂⁴	1	1	yes	characteristic
653	C₂³×C₄	C₂⁴	1	1	yes	characteristic
654	C₂³×C₄	C₂⁴	1	1	yes	characteristic
655	C₂³×C₄	C₂⁴	1	1	yes	characteristic
656	C₂³×C₄	C₂⁴	1	1	yes	characteristic
657	C₂³×C₄	C₂⁴	1	1	yes	characteristic
658	C₂³×C₄	C₂⁴	1	1	yes	characteristic
659	C₂³×C₄	C₂⁴	1	1	yes	characteristic
660	C₂³×C₄	C₂⁴	1	1	yes	characteristic
661	C₂³×C₄	C₂⁴	1	1	yes	characteristic
662	C₂³×C₄	C₂⁴	1	12	yes	—
663	C₂³×C₄	C₂⁴	1	12	yes	—
664	C₂³×C₄	C₂⁴	1	12	yes	—
665	C₂³×C₄	C₂⁴	1	12	yes	—
666	C₂³×C₄	C₂⁴	1	12	yes	—
667	C₂³×C₄	C₂⁴	1	12	yes	—
668	C₂³×C₄	C₂⁴	1	12	yes	—
669	C₂³×C₄	C₂⁴	1	12	yes	—
670	C₂³×C₄	C₂⁴	1	12	yes	—
671	C₂³×C₄	C₂⁴	1	12	yes	—
672	C₂³×C₄	C₂⁴	1	12	yes	—
673	C₂³×C₄	C₂⁴	1	12	yes	—
674	C₂³×C₄	C₂⁴	1	12	yes	—
675	C₂³×C₄	C₂⁴	1	12	yes	—
676	C₂³×C₄	C₂⁴	1	12	yes	—
677	C₂³×C₄	C₂⁴	1	12	yes	—
678	C₂³×C₄	C₂⁴	1	12	yes	—
679	C₂³×C₄	C₂⁴	1	12	yes	—
680	C₄⋊Q₈	C₂⁴	1	64	yes	complemented
681	C₄⋊Q₈	C₂⁴	1	64	yes	complemented
682	C₄⋊Q₈	C₂⁴	1	64	yes	complemented
683	#127	C₂⁴	1	64	yes	—
684	#126	C₂⁴	1	64	yes	—
685	#126	C₂⁴	1	64	yes	—
686	#126	C₂⁴	1	64	yes	—
687	#126	C₂⁴	1	64	yes	—
688	#126	C₂⁴	1	64	yes	—
689	#126	C₂⁴	1	64	yes	—
690	#126	C₂⁴	1	64	yes	—
691	#126	C₂⁴	1	64	yes	—
692	#126	C₂⁴	1	64	yes	—
693	#126	C₂⁴	1	64	yes	—
694	#126	C₂⁴	1	64	yes	—
695	#126	C₂⁴	1	64	yes	—
696	#126	C₂⁴	1	64	yes	—
697	#126	C₂⁴	1	64	yes	—
698	#126	C₂⁴	1	64	yes	complemented
699	#126	C₂⁴	1	64	yes	complemented
700	#126	C₂⁴	1	64	yes	complemented
701	#126	C₂⁴	1	64	yes	complemented
702	#126	C₂⁴	1	64	yes	complemented
703	#126	C₂⁴	1	64	yes	complemented
704	#125	C₂⁴	1	64	yes	complemented
705	#125	C₂⁴	1	64	yes	complemented
706	#125	C₂⁴	1	64	yes	complemented
707	#125	C₂⁴	1	64	yes	complemented
708	#125	C₂⁴	1	64	yes	complemented
709	#125	C₂⁴	1	64	yes	complemented
710	#125	C₂⁴	1	64	yes	complemented
711	#125	C₂⁴	1	64	yes	complemented
712	#125	C₂⁴	1	64	yes	complemented
713	#125	C₂⁴	1	64	yes	complemented
714	#125	C₂⁴	1	64	yes	complemented
715	#125	C₂⁴	1	64	yes	complemented
716	#124	C₂⁴	1	64	yes	—
717	#124	C₂⁴	1	64	yes	—
718	#124	C₂⁴	1	64	yes	—
719	#124	C₂⁴	1	64	yes	—
720	#124	C₂⁴	1	64	yes	—
721	#124	C₂⁴	1	64	yes	—
722	#124	C₂⁴	1	64	yes	—
723	#124	C₂⁴	1	64	yes	—
724	#124	C₂⁴	1	64	yes	—
725	#124	C₂⁴	1	64	yes	complemented
726	#124	C₂⁴	1	64	yes	complemented
727	#124	C₂⁴	1	64	yes	complemented
728	#123	C₂⁴	1	64	yes	—
729	#123	C₂⁴	1	64	yes	—
730	#123	C₂⁴	1	64	yes	—
731	#123	C₂⁴	1	64	yes	—
732	#123	C₂⁴	1	64	yes	—
733	#123	C₂⁴	1	64	yes	—
734	#123	C₂⁴	1	64	yes	—
735	#123	C₂⁴	1	64	yes	—
736	#123	C₂⁴	1	64	yes	—
737	#123	C₂⁴	1	64	yes	—
738	#123	C₂⁴	1	64	yes	—
739	#123	C₂⁴	1	64	yes	—
740	#123	C₂⁴	1	64	yes	—
741	#123	C₂⁴	1	64	yes	—
742	#123	C₂⁴	1	64	yes	—
743	#123	C₂⁴	1	64	yes	—
744	#123	C₂⁴	1	64	yes	—
745	#123	C₂⁴	1	64	yes	—
746	#123	C₂⁴	1	64	yes	complemented
747	#123	C₂⁴	1	64	yes	complemented
748	#123	C₂⁴	1	64	yes	complemented
749	#123	C₂⁴	1	64	yes	complemented
750	#123	C₂⁴	1	64	yes	complemented
751	#123	C₂⁴	1	64	yes	complemented
752	C₂²⋊Q₈	C₂⁴	1	64	yes	—
753	C₂²⋊Q₈	C₂⁴	1	64	yes	—
754	C₂²⋊Q₈	C₂⁴	1	64	yes	—
755	C₂²⋊Q₈	C₂⁴	1	64	yes	—
756	C₂²⋊Q₈	C₂⁴	1	64	yes	—
757	C₂²⋊Q₈	C₂⁴	1	64	yes	—
758	C₂²⋊Q₈	C₂⁴	1	64	yes	—
759	C₂²⋊Q₈	C₂⁴	1	64	yes	—
760	C₂²⋊Q₈	C₂⁴	1	64	yes	—
761	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
762	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
763	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
764	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
765	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
766	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
767	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
768	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
769	C₂²⋊Q₈	C₂⁴	1	64	yes	complemented
770	#121	C₂⁴	1	64	yes	—
771	#121	C₂⁴	1	64	yes	—
772	#121	C₂⁴	1	64	yes	—
773	#121	C₂⁴	1	64	yes	—
774	#121	C₂⁴	1	64	yes	—
775	#121	C₂⁴	1	64	yes	—
776	#121	C₂⁴	1	64	yes	—
777	#121	C₂⁴	1	64	yes	—
778	#121	C₂⁴	1	64	yes	—
779	#121	C₂⁴	1	64	yes	—
780	#121	C₂⁴	1	64	yes	—
781	#121	C₂⁴	1	64	yes	—
782	#121	C₂⁴	1	64	yes	—
783	#121	C₂⁴	1	64	yes	—
784	#121	C₂⁴	1	64	yes	—
785	#121	C₂⁴	1	64	yes	complemented
786	#121	C₂⁴	1	64	yes	complemented
787	#121	C₂⁴	1	64	yes	complemented
788	#120	C₂⁴	1	64	yes	—
789	#120	C₂⁴	1	64	yes	—
790	#120	C₂⁴	1	64	yes	—
791	#120	C₂⁴	1	64	yes	—
792	C₄×Q₈	C₂⁴	1	64	yes	complemented
793	C₄×Q₈	C₂⁴	1	64	yes	complemented
794	C₄×Q₈	C₂⁴	1	64	yes	complemented
795	C₄×Q₈	C₂⁴	1	64	yes	complemented
796	C₄×Q₈	C₂⁴	1	64	yes	complemented
797	C₄×Q₈	C₂⁴	1	64	yes	complemented
798	C₄×D₄	C₂⁴	1	64	yes	—
799	C₄×D₄	C₂⁴	1	64	yes	—
800	C₄×D₄	C₂⁴	1	64	yes	—
801	C₄×D₄	C₂⁴	1	64	yes	—
802	C₄×D₄	C₂⁴	1	64	yes	—
803	C₄×D₄	C₂⁴	1	64	yes	—
804	C₄×D₄	C₂⁴	1	64	yes	—
805	C₄×D₄	C₂⁴	1	64	yes	—
806	C₄×D₄	C₂⁴	1	64	yes	—
807	C₄×D₄	C₂⁴	1	64	yes	—
808	C₄×D₄	C₂⁴	1	64	yes	—
809	C₄×D₄	C₂⁴	1	64	yes	—
810	C₄×D₄	C₂⁴	1	64	yes	complemented
811	C₄×D₄	C₂⁴	1	64	yes	complemented
812	C₄×D₄	C₂⁴	1	64	yes	complemented
813	C₄×D₄	C₂⁴	1	64	yes	complemented
814	C₄×D₄	C₂⁴	1	64	yes	complemented
815	C₄×D₄	C₂⁴	1	64	yes	complemented
816	#117	C₂⁴	1	64	yes	—
817	#117	C₂⁴	1	64	yes	—
818	#117	C₂⁴	1	64	yes	—
819	#117	C₂⁴	1	64	yes	—
820	#117	C₂⁴	1	64	yes	—
821	#117	C₂⁴	1	64	yes	—
822	#117	C₂⁴	1	64	yes	complemented
823	#117	C₂⁴	1	64	yes	complemented
824	#117	C₂⁴	1	64	yes	complemented
825	#117	C₂⁴	1	64	yes	complemented
826	#117	C₂⁴	1	64	yes	complemented
827	#117	C₂⁴	1	64	yes	complemented
828	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
829	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
830	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
831	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
832	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
833	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
834	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
835	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
836	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
837	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
838	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
839	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
840	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
841	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
842	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
843	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
844	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
845	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
846	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
847	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
848	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
849	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
850	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
851	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
852	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
853	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
854	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
855	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
856	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
857	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
858	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
859	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
860	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
861	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
862	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
863	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
864	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
865	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
866	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
867	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
868	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
869	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
870	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
871	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
872	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
873	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
874	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
875	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
876	C₂×C₄⋊C₄	C₂⁴	1	64	yes	complemented
877	C₂×C₄⋊C₄	C₂⁴	1	64	yes	complemented
878	C₂×C₄⋊C₄	C₂⁴	1	64	yes	complemented
879	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
894	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
895	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
898	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
899	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
901	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
902	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
903	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
904	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
905	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
906	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
907	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
908	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
909	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
910	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
911	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
912	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
913	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
914	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
915	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
916	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
917	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
918	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
919	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
920	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
921	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
922	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
923	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
924	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
925	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
926	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
927	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
928	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
929	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
930	C₂×C₄²	C₂⁴	1	12	yes	—
931	C₂×C₄²	C₂⁴	1	12	yes	—
932	C₂×C₄²	C₂⁴	1	12	yes	—
933	C₂×C₄²	C₂⁴	1	12	yes	—
934	C₂×C₄²	C₂⁴	1	12	yes	—
935	C₂×C₄²	C₂⁴	1	12	yes	—
936	C₂×C₄²	C₂⁴	1	12	yes	—
937	C₂×C₄²	C₂⁴	1	12	yes	—
938	C₂×C₄²	C₂⁴	1	12	yes	—
939	C₂×C₄²	C₂⁴	1	12	yes	—
940	C₂×C₄²	C₂⁴	1	12	yes	—
941	C₂×C₄²	C₂⁴	1	12	yes	—
942	C₂×C₄²	C₂⁴	1	12	yes	—
943	C₂×C₄²	C₂⁴	1	12	yes	—
944	C₂×C₄²	C₂⁴	1	12	yes	—
945	C₂×C₄²	C₂⁴	1	12	yes	—
946	C₂×C₄²	C₂⁴	1	64	yes	complemented
947	C₂⁴	—	2	4	no	—
948	C₂⁴	—	2	4	no	—
949	C₂⁴	—	2	4	no	—
950	C₂⁴	—	2	4	no	—
951	C₂⁴	—	2	4	no	—
952	C₂⁴	—	2	4	no	—
953	C₂⁴	—	2	4	no	—
954	C₂⁴	—	2	4	no	—
955	C₂⁴	—	2	4	no	—
956	C₂⁴	—	2	4	no	—
957	C₂⁴	—	2	4	no	—
958	C₂⁴	—	2	4	no	—
959	C₂⁴	—	2	4	no	—
960	C₂⁴	—	2	4	no	—
961	C₂⁴	—	2	4	no	—
962	C₂⁴	—	2	4	no	—
963	C₂⁴	—	2	4	no	—
964	C₂⁴	—	2	4	no	—
965	C₂⁴	—	2	4	no	—
966	C₂⁴	—	2	4	no	—
967	C₂⁴	—	2	4	no	—
968	C₂⁴	—	4	24	no	—
969	C₂⁴	—	4	24	no	—
970	C₂⁴	—	4	24	no	—
971	C₂⁴	—	8	32	no	—
972	C₂⁴	C₂⁵	1	6	yes	—
973	C₂⁴	C₂⁵	1	6	yes	—
974	C₂⁴	C₂⁵	1	6	yes	—
975	C₂⁴	C₂⁵	1	6	yes	—
976	C₂⁴	C₂⁵	1	6	yes	—
977	C₂⁴	C₂⁵	1	6	yes	—
978	C₂⁴	C₂⁵	1	6	yes	—
979	C₂⁴	C₂⁵	1	16	yes	—
980	C₂⁴	C₂⁵	1	1	yes	characteristic
981	C₂×Q₈	—	4	24	no	—
982	C₂×Q₈	—	4	24	no	—
983	C₂×Q₈	—	4	24	no	—
984	C₂×Q₈	—	4	24	no	—
985	C₂×Q₈	—	4	24	no	—
986	C₂×Q₈	—	4	24	no	—
987	C₂×Q₈	C₂⁵	1	16	yes	—
988	C₂×Q₈	C₂⁵	1	16	yes	—
989	C₂×Q₈	C₂⁵	1	16	yes	—
990	C₂×Q₈	C₂⁵	1	16	yes	—
991	C₂×Q₈	C₂⁵	1	16	yes	—
992	C₂×Q₈	C₂⁵	1	16	yes	—
993	C₂×D₄	—	4	24	no	—
994	C₂×D₄	—	4	24	no	—
995	C₂×D₄	—	4	24	no	—
996	C₂×D₄	—	4	24	no	—
997	C₂×D₄	—	4	24	no	—
998	C₂×D₄	—	4	24	no	—
999	C₂×D₄	—	4	24	no	—
1000	C₂×D₄	—	4	24	no	—
1001	C₂×D₄	—	4	24	no	—
1002	C₂×D₄	—	4	24	no	—
1003	C₂×D₄	—	4	24	no	—
1004	C₂×D₄	—	4	24	no	—
1005	C₂×D₄	—	4	24	no	—
1006	C₂×D₄	—	4	24	no	—
1007	C₂×D₄	—	4	24	no	—
1008	C₂×D₄	—	4	24	no	—
1009	C₂×D₄	—	4	24	no	—
1010	C₂×D₄	—	4	24	no	—
1011	C₂×D₄	C₂⁵	1	16	yes	—
1012	C₂×D₄	C₂⁵	1	16	yes	—
1013	C₂×D₄	C₂⁵	1	16	yes	—
1014	C₂×D₄	C₂⁵	1	16	yes	—
1015	C₂×D₄	C₂⁵	1	16	yes	—
1016	C₂×D₄	C₂⁵	1	16	yes	—
1017	C₂×D₄	C₂⁵	1	16	yes	—
1018	C₂×D₄	C₂⁵	1	16	yes	—
1019	C₂×D₄	C₂⁵	1	16	yes	—
1020	C₂×D₄	C₂⁵	1	16	yes	—
1021	C₂×D₄	C₂⁵	1	16	yes	—
1022	C₂×D₄	C₂⁵	1	16	yes	—
1023	C₂×D₄	C₂⁵	1	16	yes	—
1024	C₂×D₄	C₂⁵	1	16	yes	—
1025	C₂×D₄	C₂⁵	1	16	yes	—
1026	C₂×D₄	C₂⁵	1	16	yes	—
1027	C₂×D₄	C₂⁵	1	16	yes	—
1028	C₂×D₄	C₂⁵	1	16	yes	—
1029	C₂²×C₄	—	2	4	no	—
1030	C₂²×C₄	—	2	4	no	—
1031	C₂²×C₄	—	2	4	no	—
1032	C₂²×C₄	—	2	4	no	—
1033	C₂²×C₄	—	2	4	no	—
1034	C₂²×C₄	—	2	4	no	—
1035	C₂²×C₄	—	2	4	no	—
1036	C₂²×C₄	—	2	4	no	—
1037	C₂²×C₄	—	2	4	no	—
1038	C₂²×C₄	—	2	4	no	—
1039	C₂²×C₄	—	2	4	no	—
1040	C₂²×C₄	—	2	4	no	—
1041	C₂²×C₄	—	2	4	no	—
1042	C₂²×C₄	—	2	4	no	—
1043	C₂²×C₄	—	2	4	no	—
1044	C₂²×C₄	—	2	4	no	—
1045	C₂²×C₄	—	2	4	no	—
1046	C₂²×C₄	—	2	4	no	—
1047	C₂²×C₄	—	2	4	no	—
1048	C₂²×C₄	—	2	4	no	—
1049	C₂²×C₄	—	2	4	no	—
1050	C₂²×C₄	—	2	4	no	—
1051	C₂²×C₄	—	2	4	no	—
1052	C₂²×C₄	—	2	4	no	—
1053	C₂²×C₄	—	4	24	no	—
1054	C₂²×C₄	—	4	24	no	—
1055	C₂²×C₄	—	4	24	no	—
1056	C₂²×C₄	—	4	24	no	—
1057	C₂²×C₄	—	4	24	no	—
1058	C₂²×C₄	—	4	24	no	—
1059	C₂²×C₄	—	4	24	no	—
1060	C₂²×C₄	—	4	24	no	—
1061	C₂²×C₄	—	4	24	no	—
1062	C₂²×C₄	—	4	24	no	—
1063	C₂²×C₄	—	4	24	no	—
1064	C₂²×C₄	—	4	24	no	—
1065	C₂²×C₄	—	4	24	no	—
1066	C₂²×C₄	—	4	24	no	—
1067	C₂²×C₄	—	4	24	no	—
1068	C₂²×C₄	—	4	24	no	—
1069	C₂²×C₄	—	4	24	no	—
1070	C₂²×C₄	—	4	24	no	—
1071	C₂²×C₄	C₂⁵	1	6	yes	—
1072	C₂²×C₄	C₂⁵	1	6	yes	—
1073	C₂²×C₄	C₂⁵	1	6	yes	—
1074	C₂²×C₄	C₂⁵	1	6	yes	—
1075	C₂²×C₄	C₂⁵	1	6	yes	—
1076	C₂²×C₄	C₂⁵	1	6	yes	—
1077	C₂²×C₄	C₂⁵	1	6	yes	—
1078	C₂²×C₄	C₂⁵	1	6	yes	—
1079	C₂²×C₄	C₂⁵	1	6	yes	—
1080	C₂²×C₄	C₂⁵	1	6	yes	—
1081	C₂²×C₄	C₂⁵	1	6	yes	—
1082	C₂²×C₄	C₂⁵	1	6	yes	—
1083	C₂²×C₄	C₂⁵	1	6	yes	—
1084	C₂²×C₄	C₂⁵	1	6	yes	—
1085	C₂²×C₄	C₂⁵	1	6	yes	—
1086	C₂²×C₄	C₂⁵	1	6	yes	—
1087	C₂²×C₄	C₂⁵	1	6	yes	—
1088	C₂²×C₄	C₂⁵	1	6	yes	—
1089	C₂²×C₄	C₂⁵	1	6	yes	—
1090	C₂²×C₄	C₂⁵	1	6	yes	—
1091	C₂²×C₄	C₂⁵	1	6	yes	—
1092	C₂²×C₄	C₂⁵	1	6	yes	—
1093	C₂²×C₄	C₂⁵	1	6	yes	—
1094	C₂²×C₄	C₂⁵	1	6	yes	—
1095	C₂²×C₄	C₂⁵	1	16	yes	—
1096	C₂²×C₄	C₂⁵	1	16	yes	—
1097	C₂²×C₄	C₂⁵	1	16	yes	—
1098	C₂²×C₄	C₂⁵	1	16	yes	—
1099	C₂²×C₄	C₂⁵	1	16	yes	—
1100	C₂²×C₄	C₂⁵	1	16	yes	—
1101	C₂²×C₄	C₂⁵	1	16	yes	—
1102	C₂²×C₄	C₂⁵	1	16	yes	—
1103	C₂²×C₄	C₂⁵	1	16	yes	—
1104	C₂²×C₄	C₂⁵	1	16	yes	—
1105	C₂²×C₄	C₂⁵	1	16	yes	—
1106	C₂²×C₄	C₂⁵	1	16	yes	—
1107	C₂²×C₄	C₂⁵	1	16	yes	—
1108	C₂²×C₄	C₂⁵	1	16	yes	—
1109	C₂²×C₄	C₂⁵	1	16	yes	—
1110	C₂²×C₄	C₂⁵	1	16	yes	—
1111	C₂²×C₄	C₂⁵	1	16	yes	—
1112	C₂²×C₄	C₂⁵	1	16	yes	—
1113	C₄⋊C₄	C₂⁵	1	16	yes	—
1114	C₄⋊C₄	C₂⁵	1	16	yes	—
1115	C₄⋊C₄	C₂⁵	1	16	yes	—
1116	C₄⋊C₄	C₂⁵	1	16	yes	—
1117	C₄⋊C₄	C₂⁵	1	16	yes	—
1118	C₄⋊C₄	C₂⁵	1	16	yes	—
1119	C₄⋊C₄	C₂⁵	1	16	yes	—
1120	C₄⋊C₄	C₂⁵	1	16	yes	—
1121	C₄⋊C₄	C₂⁵	1	16	yes	—
1122	C₄⋊C₄	C₂⁵	1	16	yes	—
1123	C₄⋊C₄	C₂⁵	1	16	yes	—
1124	C₄⋊C₄	C₂⁵	1	16	yes	—
1125	C₄⋊C₄	C₂⁵	1	16	yes	—
1126	C₄⋊C₄	C₂⁵	1	16	yes	—
1127	C₄⋊C₄	C₂⁵	1	16	yes	—
1128	C₄⋊C₄	C₂⁵	1	16	yes	—
1129	C₄⋊C₄	C₂⁵	1	16	yes	—
1130	C₄⋊C₄	C₂⁵	1	16	yes	—
1131	C₄⋊C₄	C₂⁵	1	16	yes	—
1132	C₄⋊C₄	C₂⁵	1	16	yes	—
1133	C₄⋊C₄	C₂⁵	1	16	yes	—
1134	C₄⋊C₄	C₂⁵	1	16	yes	—
1135	C₄⋊C₄	C₂⁵	1	16	yes	—
1136	C₄⋊C₄	C₂⁵	1	16	yes	—
1137	C₄⋊C₄	C₂⁵	1	16	yes	—
1138	C₄⋊C₄	C₂⁵	1	16	yes	—
1139	C₄⋊C₄	C₂⁵	1	16	yes	—
1140	C₄⋊C₄	C₂⁵	1	16	yes	—
1141	C₄⋊C₄	C₂⁵	1	16	yes	—
1142	C₄⋊C₄	C₂⁵	1	16	yes	—
1143	C₄⋊C₄	C₂⁵	1	16	yes	—
1144	C₄⋊C₄	C₂⁵	1	16	yes	—
1145	C₄⋊C₄	C₂⁵	1	16	yes	—
1146	C₄⋊C₄	C₂⁵	1	16	yes	—
1147	C₄⋊C₄	C₂⁵	1	16	yes	—
1148	C₄⋊C₄	C₂⁵	1	16	yes	—
1149	C₄⋊C₄	C₂⁵	1	16	yes	—
1150	C₄⋊C₄	C₂⁵	1	16	yes	—
1151	C₄⋊C₄	C₂⁵	1	16	yes	—
1152	C₄⋊C₄	C₂⁵	1	16	yes	—
1153	C₄⋊C₄	C₂⁵	1	16	yes	—
1154	C₄⋊C₄	C₂⁵	1	16	yes	—
1155	C₄⋊C₄	C₂⁵	1	16	yes	—
1156	C₄⋊C₄	C₂⁵	1	16	yes	—
1157	C₄⋊C₄	C₂⁵	1	16	yes	—
1158	C₄⋊C₄	C₂⁵	1	16	yes	—
1159	C₄⋊C₄	C₂⁵	1	16	yes	—
1160	C₄⋊C₄	C₂⁵	1	16	yes	—
1161	C₂²⋊C₄	C₂⁵	1	16	yes	—
1162	C₂²⋊C₄	C₂⁵	1	16	yes	—
1163	C₂²⋊C₄	C₂⁵	1	16	yes	—
1164	C₂²⋊C₄	C₂⁵	1	16	yes	—
1165	C₂²⋊C₄	C₂⁵	1	16	yes	—
1166	C₂²⋊C₄	C₂⁵	1	16	yes	—
1167	C₂²⋊C₄	C₂⁵	1	16	yes	—
1168	C₂²⋊C₄	C₂⁵	1	16	yes	—
1169	C₂²⋊C₄	C₂⁵	1	16	yes	—
1170	C₂²⋊C₄	C₂⁵	1	16	yes	—
1171	C₂²⋊C₄	C₂⁵	1	16	yes	—
1172	C₂²⋊C₄	C₂⁵	1	16	yes	—
1173	C₂²⋊C₄	C₂⁵	1	16	yes	—
1174	C₂²⋊C₄	C₂⁵	1	16	yes	—
1175	C₂²⋊C₄	C₂⁵	1	16	yes	—
1176	C₂²⋊C₄	C₂⁵	1	16	yes	—
1177	C₂²⋊C₄	C₂⁵	1	16	yes	—
1178	C₂²⋊C₄	C₂⁵	1	16	yes	—
1179	C₂²⋊C₄	C₂⁵	1	16	yes	—
1180	C₂²⋊C₄	C₂⁵	1	16	yes	—
1181	C₂²⋊C₄	C₂⁵	1	16	yes	—
1182	C₂²⋊C₄	C₂⁵	1	16	yes	—
1183	C₂²⋊C₄	C₂⁵	1	16	yes	—
1184	C₂²⋊C₄	C₂⁵	1	16	yes	—
1185	C₂²⋊C₄	C₂⁵	1	16	yes	—
1186	C₂²⋊C₄	C₂⁵	1	16	yes	—
1187	C₂²⋊C₄	C₂⁵	1	16	yes	—
1188	C₂²⋊C₄	C₂⁵	1	16	yes	—
1189	C₂²⋊C₄	C₂⁵	1	16	yes	—
1190	C₂²⋊C₄	C₂⁵	1	16	yes	—
1191	C₂²⋊C₄	C₂⁵	1	16	yes	—
1192	C₂²⋊C₄	C₂⁵	1	16	yes	—
1193	C₂²⋊C₄	C₂⁵	1	16	yes	—
1194	C₂²⋊C₄	C₂⁵	1	16	yes	—
1195	C₂²⋊C₄	C₂⁵	1	16	yes	—
1196	C₂²⋊C₄	C₂⁵	1	16	yes	—
1197	C₂²⋊C₄	C₂⁵	1	16	yes	—
1198	C₂²⋊C₄	C₂⁵	1	16	yes	—
1199	C₂²⋊C₄	C₂⁵	1	16	yes	—
1200	C₂²⋊C₄	C₂⁵	1	16	yes	—
1201	C₂²⋊C₄	C₂⁵	1	16	yes	—
1202	C₂²⋊C₄	C₂⁵	1	16	yes	—
1203	C₂²⋊C₄	C₂⁵	1	16	yes	—
1204	C₂²⋊C₄	C₂⁵	1	16	yes	—
1205	C₂²⋊C₄	C₂⁵	1	16	yes	—
1206	C₂²⋊C₄	C₂⁵	1	16	yes	—
1207	C₂²⋊C₄	C₂⁵	1	16	yes	—
1208	C₂²⋊C₄	C₂⁵	1	16	yes	—
1209	C₄²	C₂⁵	1	16	yes	—
1210	C₄²	C₂⁵	1	16	yes	—
1211	C₄²	C₂⁵	1	16	yes	—
1212	C₄²	C₂⁵	1	16	yes	—
1213	C₄²	C₂⁵	1	16	yes	—
1214	C₄²	C₂⁵	1	16	yes	—
1215	C₄²	C₂⁵	1	16	yes	—
1216	C₄²	C₂⁵	1	16	yes	—
1217	C₄²	C₂⁵	1	16	yes	—
1218	C₄²	C₂⁵	1	16	yes	—
1219	C₄²	C₂⁵	1	16	yes	—
1220	C₄²	C₂⁵	1	16	yes	—
1221	C₄²	C₂⁵	1	16	yes	—
1222	C₄²	C₂⁵	1	16	yes	—
1223	C₄²	C₂⁵	1	16	yes	—
1224	C₄²	C₂⁵	1	16	yes	—
1225	C₂³	—	2	12	no	—
1226	C₂³	—	2	12	no	—
1227	C₂³	—	2	12	no	—
1228	C₂³	—	2	12	no	—
1229	C₂³	—	2	12	no	—
1230	C₂³	—	2	12	no	—
1231	C₂³	—	2	12	no	—
1232	C₂³	—	2	12	no	—
1233	C₂³	—	2	12	no	—
1234	C₂³	—	2	12	no	—
1235	C₂³	—	2	12	no	—
1236	C₂³	—	2	12	no	—
1237	C₂³	—	2	12	no	—
1238	C₂³	—	2	12	no	—
1239	C₂³	—	2	12	no	—
1240	C₂³	—	2	12	no	—
1241	C₂³	—	2	12	no	—
1242	C₂³	—	2	12	no	—
1243	C₂³	—	2	12	no	—
1244	C₂³	—	2	12	no	—
1245	C₂³	—	2	12	no	—
1246	C₂³	—	4	16	no	—
1247	C₂³	—	4	16	no	—
1248	C₂³	—	4	16	no	—
1249	C₂³	—	4	16	no	—
1250	C₂³	—	4	16	no	—
1251	C₂³	—	4	16	no	—
1252	C₂³	—	4	16	no	—
1253	C₂³	—	4	16	no	—
1254	C₂³	—	4	16	no	—
1255	C₂³	—	4	16	no	—
1256	C₂³	—	8	96	no	—
1257	C₂³	#585	1	4	yes	—
1258	C₂³	#585	1	4	yes	—
1259	C₂³	#585	1	4	yes	—
1260	C₂³	C₂⁶	1	4	yes	—
1261	C₂³	C₂⁶	1	4	yes	—
1262	C₂³	C₂⁶	1	4	yes	—
1263	C₂³	C₂⁶	1	4	yes	—
1264	C₂³	C₂⁶	1	4	yes	—
1265	C₂³	C₂⁶	1	4	yes	—
1266	C₂³	C₂⁶	1	4	yes	—
1267	C₂³	C₂⁶	1	3	yes	—
1268	Q₈	—	4	16	no	—
1269	Q₈	—	4	16	no	—
1270	Q₈	—	4	16	no	—
1271	Q₈	—	4	16	no	—
1272	Q₈	—	4	16	no	—
1273	Q₈	—	4	16	no	—
1274	D₄	—	4	16	no	—
1275	D₄	—	4	16	no	—
1276	D₄	—	4	16	no	—
1277	D₄	—	4	16	no	—
1278	D₄	—	4	16	no	—
1279	D₄	—	4	16	no	—
1280	D₄	—	4	16	no	—
1281	D₄	—	4	16	no	—
1282	D₄	—	4	16	no	—
1283	D₄	—	4	16	no	—
1284	D₄	—	4	16	no	—
1285	D₄	—	4	16	no	—
1286	D₄	—	4	16	no	—
1287	D₄	—	4	16	no	—
1288	D₄	—	4	16	no	—
1289	D₄	—	4	16	no	—
1290	D₄	—	4	16	no	—
1291	D₄	—	4	16	no	—
1292	C₂×C₄	—	2	12	no	—
1293	C₂×C₄	—	2	12	no	—
1294	C₂×C₄	—	2	12	no	—
1295	C₂×C₄	—	2	12	no	—
1296	C₂×C₄	—	2	12	no	—
1297	C₂×C₄	—	2	12	no	—
1298	C₂×C₄	—	2	12	no	—
1299	C₂×C₄	—	2	12	no	—
1300	C₂×C₄	—	2	12	no	—
1301	C₂×C₄	—	2	12	no	—
1302	C₂×C₄	—	2	12	no	—
1303	C₂×C₄	—	2	12	no	—
1304	C₂×C₄	—	2	12	no	—
1305	C₂×C₄	—	2	12	no	—
1306	C₂×C₄	—	2	12	no	—
1307	C₂×C₄	—	2	12	no	—
1308	C₂×C₄	—	2	12	no	—
1309	C₂×C₄	—	2	12	no	—
1310	C₂×C₄	—	2	12	no	—
1311	C₂×C₄	—	2	12	no	—
1312	C₂×C₄	—	2	12	no	—
1313	C₂×C₄	—	2	12	no	—
1314	C₂×C₄	—	2	12	no	—
1315	C₂×C₄	—	2	12	no	—
1316	C₂×C₄	—	4	16	no	—
1317	C₂×C₄	—	4	16	no	—
1318	C₂×C₄	—	4	16	no	—
1319	C₂×C₄	—	4	16	no	—
1320	C₂×C₄	—	4	16	no	—
1321	C₂×C₄	—	4	16	no	—
1322	C₂×C₄	—	4	16	no	—
1323	C₂×C₄	—	4	16	no	—
1324	C₂×C₄	—	4	16	no	—
1325	C₂×C₄	—	4	16	no	—
1326	C₂×C₄	—	4	16	no	—
1327	C₂×C₄	—	4	16	no	—
1328	C₂×C₄	—	4	16	no	—
1329	C₂×C₄	—	4	16	no	—
1330	C₂×C₄	—	4	16	no	—
1331	C₂×C₄	—	4	16	no	—
1332	C₂×C₄	—	4	16	no	—
1333	C₂×C₄	—	4	16	no	—
1334	C₂×C₄	C₂⁶	1	4	yes	—
1335	C₂×C₄	C₂⁶	1	4	yes	—
1336	C₂×C₄	C₂⁶	1	4	yes	—
1337	C₂×C₄	C₂⁶	1	4	yes	—
1338	C₂×C₄	C₂⁶	1	4	yes	—
1339	C₂×C₄	C₂⁶	1	4	yes	—
1340	C₂×C₄	C₂⁶	1	4	yes	—
1341	C₂×C₄	C₂⁶	1	4	yes	—
1342	C₂×C₄	C₂⁶	1	4	yes	—
1343	C₂×C₄	C₂⁶	1	4	yes	—
1344	C₂×C₄	C₂⁶	1	4	yes	—
1345	C₂×C₄	C₂⁶	1	4	yes	—
1346	C₂×C₄	C₂⁶	1	4	yes	—
1347	C₂×C₄	C₂⁶	1	4	yes	—
1348	C₂×C₄	C₂⁶	1	4	yes	—
1349	C₂×C₄	C₂⁶	1	4	yes	—
1350	C₂×C₄	C₂⁶	1	4	yes	—
1351	C₂×C₄	C₂⁶	1	4	yes	—
1352	C₂×C₄	C₂⁶	1	4	yes	—
1353	C₂×C₄	C₂⁶	1	4	yes	—
1354	C₂×C₄	C₂⁶	1	4	yes	—
1355	C₂×C₄	C₂⁶	1	4	yes	—
1356	C₂×C₄	C₂⁶	1	4	yes	—
1357	C₂×C₄	C₂⁶	1	4	yes	—
1358	C₂²	—	2	4	no	—
1359	C₂²	—	2	4	no	—
1360	C₂²	—	2	4	no	—
1361	C₂²	—	2	4	no	—
1362	C₂²	—	2	4	no	—
1363	C₂²	—	2	4	no	—
1364	C₂²	—	2	4	no	—
1365	C₂²	—	2	4	no	—
1366	C₂²	—	2	4	no	—
1367	C₂²	—	2	4	no	—
1368	C₂²	—	2	4	no	—
1369	C₂²	—	2	4	no	—
1370	C₂²	—	2	4	no	—
1371	C₂²	—	2	4	no	—
1372	C₂²	—	2	4	no	—
1373	C₂²	—	2	4	no	—
1374	C₂²	—	2	4	no	—
1375	C₂²	—	2	4	no	—
1376	C₂²	—	2	4	no	—
1377	C₂²	—	2	4	no	—
1378	C₂²	—	2	4	no	—
1379	C₂²	—	4	24	no	—
1380	C₂²	—	4	24	no	—
1381	C₂²	—	4	24	no	—
1382	C₂²	—	4	24	no	—
1383	C₂²	—	4	24	no	—
1384	C₂²	—	4	24	no	—
1385	C₂²	—	4	24	no	—
1386	C₂²	—	8	32	no	—
1387	C₂²	#3566	1	16	yes	direct product factor
1388	C₂²	C₂×#585	1	6	yes	—
1389	C₂²	C₂×#585	1	6	yes	—
1390	C₂²	C₂×#585	1	6	yes	—
1391	C₂²	C₂⁷	1	1	yes	characteristic
1392	C₄	—	2	4	no	—
1393	C₄	—	2	4	no	—
1394	C₄	—	2	4	no	—
1395	C₄	—	2	4	no	—
1396	C₄	—	2	4	no	—
1397	C₄	—	2	4	no	—
1398	C₄	—	2	4	no	—
1399	C₄	—	2	4	no	—
1400	C₄	—	2	4	no	—
1401	C₄	—	2	4	no	—
1402	C₄	—	2	4	no	—
1403	C₄	—	2	4	no	—
1404	C₄	—	2	4	no	—
1405	C₄	—	2	4	no	—
1406	C₄	—	2	4	no	—
1407	C₄	—	2	4	no	—
1408	C₄	—	2	4	no	—
1409	C₄	—	2	4	no	—
1410	C₄	—	2	4	no	—
1411	C₄	—	2	4	no	—
1412	C₄	—	2	4	no	—
1413	C₄	—	2	4	no	—
1414	C₄	—	2	4	no	—
1415	C₄	—	2	4	no	—
1416	C₂	—	4	4	no	—
1417	C₂	—	4	4	no	—
1418	C₂	—	4	4	no	—
1419	C₂	—	4	4	no	—
1420	C₂	—	4	4	no	—
1421	C₂	—	4	4	no	—
1422	C₂	—	4	4	no	—
1423	C₂	C₂×#3566	1	12	yes	direct product factor
1424	C₂	C₂²×#585	1	1	yes	characteristic
1425	C₂	C₂²×#585	1	1	yes	characteristic
1426	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×#3566	C₂	direct (N × H)
2. C₂²×#559	C₂	semidirect
3. C₂²×#555	C₂	semidirect
4. C₂²×#556	C₂	semidirect
5. C₂²×#553	C₂	semidirect
6. C₂²×#553	C₂	semidirect
7. C₂²×#553	C₂	semidirect
8. C₂²×#552	C₂	semidirect
9. C₂²×#552	C₂	semidirect
10. C₂²×#552	C₂	semidirect
11. C₂²×#551	C₂	semidirect
12. C₂²×#551	C₂	semidirect
13. C₂²×#551	C₂	semidirect
14. C₂²×#563	C₂	semidirect
15. C₂²×#562	C₂	semidirect
16. C₂²×#562	C₂	semidirect
17. C₂²×#560	C₂	semidirect
18. C₂²×#541	C₂	semidirect
19. C₂²×#541	C₂	semidirect
20. C₂²×#542	C₂	semidirect
21. C₂²×#542	C₂	semidirect
22. C₂²×#542	C₂	semidirect
23. C₂²×#540	C₂	semidirect
24. C₂²×#539	C₂	semidirect
25. C₂²×#539	C₂	semidirect
26. C₂²×#539	C₂	semidirect
27. C₂²×#538	C₂	semidirect
28. C₂²×#538	C₂	semidirect
29. C₂²×#538	C₂	semidirect
30. C₂²×#529	C₂	semidirect
31. C₂²×#529	C₂	semidirect
32. C₂²×#529	C₂	semidirect
33. #3566	C₂²	direct (N × H)
34. C₂×#563	C₂²	semidirect
35. C₂×#562	C₂²	semidirect
36. C₂×#562	C₂²	semidirect
37. C₂×#560	C₂²	semidirect
38. C₂×#559	C₂²	semidirect
39. C₂×#556	C₂²	semidirect
40. C₂×#555	C₂²	semidirect
41. C₂×#553	C₂²	semidirect
42. C₂×#553	C₂²	semidirect
43. C₂×#553	C₂²	semidirect
44. C₂×#552	C₂²	semidirect
45. C₂×#552	C₂²	semidirect
46. C₂×#552	C₂²	semidirect
47. C₂×#551	C₂²	semidirect
48. C₂×#551	C₂²	semidirect
49. C₂×#551	C₂²	semidirect
50. C₂×#542	C₂²	semidirect
51. C₂×#542	C₂²	semidirect
52. C₂×#542	C₂²	semidirect
53. C₂×#541	C₂²	semidirect
54. C₂×#541	C₂²	semidirect
55. C₂×#540	C₂²	semidirect
56. C₂×#539	C₂²	semidirect
57. C₂×#539	C₂²	semidirect
58. C₂×#539	C₂²	semidirect
59. C₂×#538	C₂²	semidirect
60. C₂×#538	C₂²	semidirect
61. C₂×#538	C₂²	semidirect
62. C₂²×C₄⋊Q₈	C₂²	semidirect
63. C₂²×C₄⋊Q₈	C₂²	semidirect
64. C₂²×C₄⋊Q₈	C₂²	semidirect
66. C₂×#529	C₂²	semidirect
67. C₂×#529	C₂²	semidirect
68. C₂×#529	C₂²	semidirect
83. C₂²×#126	C₂²	semidirect
84. C₂²×#126	C₂²	semidirect
85. C₂²×#126	C₂²	semidirect
86. C₂²×#126	C₂²	semidirect
87. C₂²×#126	C₂²	semidirect
88. C₂²×#126	C₂²	semidirect
89. C₂²×#125	C₂²	semidirect
90. C₂²×#125	C₂²	semidirect
91. C₂²×#125	C₂²	semidirect
92. C₂²×#125	C₂²	semidirect
93. C₂²×#125	C₂²	semidirect
94. C₂²×#125	C₂²	semidirect
95. C₂²×#125	C₂²	semidirect
96. C₂²×#125	C₂²	semidirect
97. C₂²×#125	C₂²	semidirect
98. C₂²×#125	C₂²	semidirect
99. C₂²×#125	C₂²	semidirect
100. C₂²×#125	C₂²	semidirect
110. C₂²×#124	C₂²	semidirect
111. C₂²×#124	C₂²	semidirect
112. C₂²×#124	C₂²	semidirect
131. C₂²×#123	C₂²	semidirect
132. C₂²×#123	C₂²	semidirect
133. C₂²×#123	C₂²	semidirect
134. C₂²×#123	C₂²	semidirect
135. C₂²×#123	C₂²	semidirect
136. C₂²×#123	C₂²	semidirect
146. C₂²×C₂²⋊Q₈	C₂²	semidirect
147. C₂²×C₂²⋊Q₈	C₂²	semidirect
148. C₂²×C₂²⋊Q₈	C₂²	semidirect
149. C₂²×C₂²⋊Q₈	C₂²	semidirect
150. C₂²×C₂²⋊Q₈	C₂²	semidirect
151. C₂²×C₂²⋊Q₈	C₂²	semidirect
152. C₂²×C₂²⋊Q₈	C₂²	semidirect
153. C₂²×C₂²⋊Q₈	C₂²	semidirect
154. C₂²×C₂²⋊Q₈	C₂²	semidirect
170. C₂²×#121	C₂²	semidirect
171. C₂²×#121	C₂²	semidirect
172. C₂²×#121	C₂²	semidirect
177. C₂²×C₄×Q₈	C₂²	semidirect
178. C₂²×C₄×Q₈	C₂²	semidirect
179. C₂²×C₄×Q₈	C₂²	semidirect
180. C₂²×C₄×Q₈	C₂²	semidirect
181. C₂²×C₄×Q₈	C₂²	semidirect
182. C₂²×C₄×Q₈	C₂²	semidirect
195. C₂²×C₄×D₄	C₂²	semidirect
196. C₂²×C₄×D₄	C₂²	semidirect
197. C₂²×C₄×D₄	C₂²	semidirect
198. C₂²×C₄×D₄	C₂²	semidirect
199. C₂²×C₄×D₄	C₂²	semidirect
200. C₂²×C₄×D₄	C₂²	semidirect
207. C₂²×#117	C₂²	semidirect
208. C₂²×#117	C₂²	semidirect
209. C₂²×#117	C₂²	semidirect
210. C₂²×#117	C₂²	semidirect
211. C₂²×#117	C₂²	semidirect
212. C₂²×#117	C₂²	semidirect
213. C₂³×C₄⋊C₄	C₂²	semidirect
214. C₂³×C₄⋊C₄	C₂²	semidirect
215. C₂³×C₄⋊C₄	C₂²	semidirect
219. C₂³×C₄²	C₂²	semidirect
263. #563	C₂³	semidirect
264. #562	C₂³	semidirect
265. #562	C₂³	semidirect
266. #560	C₂³	semidirect
267. #559	C₂³	semidirect
268. #556	C₂³	semidirect
269. #555	C₂³	semidirect
270. #553	C₂³	semidirect
271. #553	C₂³	semidirect
272. #553	C₂³	semidirect
273. #552	C₂³	semidirect
274. #552	C₂³	semidirect
275. #552	C₂³	semidirect
276. #551	C₂³	semidirect
277. #551	C₂³	semidirect
278. #551	C₂³	semidirect
279. #542	C₂³	semidirect
280. #542	C₂³	semidirect
281. #542	C₂³	semidirect
282. #541	C₂³	semidirect
283. #541	C₂³	semidirect
284. #540	C₂³	semidirect
285. #539	C₂³	semidirect
286. #539	C₂³	semidirect
287. #539	C₂³	semidirect
288. #538	C₂³	semidirect
289. #538	C₂³	semidirect
290. #538	C₂³	semidirect
291. C₂×C₄⋊Q₈	C₂³	semidirect
292. C₂×C₄⋊Q₈	C₂³	semidirect
293. C₂×C₄⋊Q₈	C₂³	semidirect
295. #529	C₂³	semidirect
296. #529	C₂³	semidirect
297. #529	C₂³	semidirect
312. C₂×#126	C₂³	semidirect
313. C₂×#126	C₂³	semidirect
314. C₂×#126	C₂³	semidirect
315. C₂×#126	C₂³	semidirect
316. C₂×#126	C₂³	semidirect
317. C₂×#126	C₂³	semidirect
318. C₂×#125	C₂³	semidirect
319. C₂×#125	C₂³	semidirect
320. C₂×#125	C₂³	semidirect
321. C₂×#125	C₂³	semidirect
322. C₂×#125	C₂³	semidirect
323. C₂×#125	C₂³	semidirect
324. C₂×#125	C₂³	semidirect
325. C₂×#125	C₂³	semidirect
326. C₂×#125	C₂³	semidirect
327. C₂×#125	C₂³	semidirect
328. C₂×#125	C₂³	semidirect
329. C₂×#125	C₂³	semidirect
339. C₂×#124	C₂³	semidirect
340. C₂×#124	C₂³	semidirect
341. C₂×#124	C₂³	semidirect
360. C₂×#123	C₂³	semidirect
361. C₂×#123	C₂³	semidirect
362. C₂×#123	C₂³	semidirect
363. C₂×#123	C₂³	semidirect
364. C₂×#123	C₂³	semidirect
365. C₂×#123	C₂³	semidirect
375. C₂×C₂²⋊Q₈	C₂³	semidirect
376. C₂×C₂²⋊Q₈	C₂³	semidirect
377. C₂×C₂²⋊Q₈	C₂³	semidirect
378. C₂×C₂²⋊Q₈	C₂³	semidirect
379. C₂×C₂²⋊Q₈	C₂³	semidirect
380. C₂×C₂²⋊Q₈	C₂³	semidirect
381. C₂×C₂²⋊Q₈	C₂³	semidirect
382. C₂×C₂²⋊Q₈	C₂³	semidirect
383. C₂×C₂²⋊Q₈	C₂³	semidirect
399. C₂×#121	C₂³	semidirect
400. C₂×#121	C₂³	semidirect
401. C₂×#121	C₂³	semidirect
406. C₂×C₄×Q₈	C₂³	semidirect
407. C₂×C₄×Q₈	C₂³	semidirect
408. C₂×C₄×Q₈	C₂³	semidirect
409. C₂×C₄×Q₈	C₂³	semidirect
410. C₂×C₄×Q₈	C₂³	semidirect
411. C₂×C₄×Q₈	C₂³	semidirect
424. C₂×C₄×D₄	C₂³	semidirect
425. C₂×C₄×D₄	C₂³	semidirect
426. C₂×C₄×D₄	C₂³	semidirect
427. C₂×C₄×D₄	C₂³	semidirect
428. C₂×C₄×D₄	C₂³	semidirect
429. C₂×C₄×D₄	C₂³	semidirect
436. C₂×#117	C₂³	semidirect
437. C₂×#117	C₂³	semidirect
438. C₂×#117	C₂³	semidirect
439. C₂×#117	C₂³	semidirect
440. C₂×#117	C₂³	semidirect
441. C₂×#117	C₂³	semidirect
490. C₂²×C₄⋊C₄	C₂³	semidirect
491. C₂²×C₄⋊C₄	C₂³	semidirect
492. C₂²×C₄⋊C₄	C₂³	semidirect
560. C₂²×C₄²	C₂³	semidirect
680. C₄⋊Q₈	C₂⁴	semidirect
681. C₄⋊Q₈	C₂⁴	semidirect
682. C₄⋊Q₈	C₂⁴	semidirect
698. #126	C₂⁴	semidirect
699. #126	C₂⁴	semidirect
700. #126	C₂⁴	semidirect
701. #126	C₂⁴	semidirect
702. #126	C₂⁴	semidirect
703. #126	C₂⁴	semidirect
704. #125	C₂⁴	semidirect
705. #125	C₂⁴	semidirect
706. #125	C₂⁴	semidirect
707. #125	C₂⁴	semidirect
708. #125	C₂⁴	semidirect
709. #125	C₂⁴	semidirect
710. #125	C₂⁴	semidirect
711. #125	C₂⁴	semidirect
712. #125	C₂⁴	semidirect
713. #125	C₂⁴	semidirect
714. #125	C₂⁴	semidirect
715. #125	C₂⁴	semidirect
725. #124	C₂⁴	semidirect
726. #124	C₂⁴	semidirect
727. #124	C₂⁴	semidirect
746. #123	C₂⁴	semidirect
747. #123	C₂⁴	semidirect
748. #123	C₂⁴	semidirect
749. #123	C₂⁴	semidirect
750. #123	C₂⁴	semidirect
751. #123	C₂⁴	semidirect
761. C₂²⋊Q₈	C₂⁴	semidirect
762. C₂²⋊Q₈	C₂⁴	semidirect
763. C₂²⋊Q₈	C₂⁴	semidirect
764. C₂²⋊Q₈	C₂⁴	semidirect
765. C₂²⋊Q₈	C₂⁴	semidirect
766. C₂²⋊Q₈	C₂⁴	semidirect
767. C₂²⋊Q₈	C₂⁴	semidirect
768. C₂²⋊Q₈	C₂⁴	semidirect
769. C₂²⋊Q₈	C₂⁴	semidirect
785. #121	C₂⁴	semidirect
786. #121	C₂⁴	semidirect
787. #121	C₂⁴	semidirect
792. C₄×Q₈	C₂⁴	semidirect
793. C₄×Q₈	C₂⁴	semidirect
794. C₄×Q₈	C₂⁴	semidirect
795. C₄×Q₈	C₂⁴	semidirect
796. C₄×Q₈	C₂⁴	semidirect
797. C₄×Q₈	C₂⁴	semidirect
810. C₄×D₄	C₂⁴	semidirect
811. C₄×D₄	C₂⁴	semidirect
812. C₄×D₄	C₂⁴	semidirect
813. C₄×D₄	C₂⁴	semidirect
814. C₄×D₄	C₂⁴	semidirect
815. C₄×D₄	C₂⁴	semidirect
822. #117	C₂⁴	semidirect
823. #117	C₂⁴	semidirect
824. #117	C₂⁴	semidirect
825. #117	C₂⁴	semidirect
826. #117	C₂⁴	semidirect
827. #117	C₂⁴	semidirect
876. C₂×C₄⋊C₄	C₂⁴	semidirect
877. C₂×C₄⋊C₄	C₂⁴	semidirect
878. C₂×C₄⋊C₄	C₂⁴	semidirect
946. C₂×C₄²	C₂⁴	semidirect
1387. C₂²	#3566	direct (N × H)
1423. C₂	C₂×#3566	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×#3566	2
C₂²×#559	2
C₂²×#555	2
C₂²×#556	2
C₂²×#553	2
C₂²×#552	2
C₂²×#551	2
C₂²×#563	2
C₂²×#562	2
C₂²×#560	2
C₂²×#541	2
C₂²×#542	2
C₂²×#540	2
C₂²×#539	2
C₂²×#538	2
C₂²×#529	2

Subgroups — C22×#3566 #10586142

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#3566 #10586142