Subgroups — C₂²×#647714 #72289309

Order 2048.

At least 6045 conjugacy classes of subgroups; only the 56600 normal subgroups are shown.

The subgroup lattice has 1182 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#14015	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#14757	C₂	1	2	yes	maximal, complemented
3	C₂²×#15278	C₂	1	2	yes	maximal, complemented
4	C₂²×#14719	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂⁵×#121	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×#15310	C₂	1	2	yes	maximal, complemented
7	C₂²×#14023	C₂	1	2	yes	maximal, complemented
8	C₂²×#15263	C₂	1	2	yes	maximal, complemented
9	C₂²×#14718	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂⁴×#386	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#15257	C₂	1	2	yes	maximal, complemented
12	C₂³×#2410	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂³×#2410	C₂	1	2	yes	maximal, complemented
14	C₂²×#14716	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂²×#14716	C₂	1	2	yes	maximal, complemented
16	C₂²×#13967	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×#14694	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×#13867	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#13867	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#14715	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#647714	C₂	1	96	yes	maximal, direct product factor
22	C₂³×#2403	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂³×#2403	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁴×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂⁶×D₄	C₂²	1	1	yes	characteristic
26	C₂⁶×D₄	C₂²	1	1	yes	characteristic
27	C₂⁶×D₄	C₂²	1	1	yes	characteristic
28	C₂⁶×D₄	C₂²	1	1	yes	characteristic, complemented
29	C₂⁶×D₄	C₂²	1	1	yes	characteristic, complemented
30	C₂⁶×D₄	C₂²	1	1	yes	characteristic, complemented
31	C₂⁷×C₄	C₂²	1	1	yes	characteristic, complemented
32	C₂³×D₄²	C₂²	1	48	yes	complemented
33	C₂⁴×#127	C₂²	1	1	yes	characteristic, complemented
34	C₂⁴×#121	C₂²	1	1	yes	characteristic
35	C₂⁴×#121	C₂²	1	2	yes	—
36	C₂⁴×#121	C₂²	1	2	yes	complemented
37	C₂⁴×#121	C₂²	1	1	yes	characteristic, complemented
38	C₂⁴×#121	C₂²	1	2	yes	complemented
39	C₂⁴×#121	C₂²	1	1	yes	characteristic, complemented
40	C₂⁴×#121	C₂²	1	1	yes	characteristic, complemented
41	C₂⁴×#121	C₂²	1	2	yes	complemented
42	C₂⁴×#121	C₂²	1	2	yes	complemented
43	C₂⁴×#121	C₂²	1	48	yes	complemented
44	C₂⁴×#120	C₂²	1	1	yes	characteristic
45	C₂⁴×#120	C₂²	1	1	yes	characteristic
46	C₂⁴×#120	C₂²	1	1	yes	characteristic
47	C₂⁴×#120	C₂²	1	1	yes	characteristic, complemented
48	C₂⁴×#120	C₂²	1	1	yes	characteristic, complemented
49	C₂⁴×#120	C₂²	1	1	yes	characteristic, complemented
50	C₂⁴×#120	C₂²	1	2	yes	complemented
51	C₂⁴×#120	C₂²	1	2	yes	complemented
52	C₂⁴×#120	C₂²	1	1	yes	characteristic, complemented
53	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic
54	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
55	C₂⁵×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
56	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
57	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
58	C₂⁵×C₂²⋊C₄	C₂²	1	2	yes	complemented
59	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
60	C₂²×#2410	C₂²	1	48	yes	complemented
61	C₂²×#2410	C₂²	1	96	yes	complemented
62	C₂²×#2403	C₂²	1	48	yes	complemented
63	C₂²×#2403	C₂²	1	48	yes	complemented
64	C₂³×#394	C₂²	1	2	yes	complemented
65	C₂³×#394	C₂²	1	2	yes	complemented
66	C₂³×#394	C₂²	1	2	yes	complemented
67	C₂³×#392	C₂²	1	2	yes	complemented
68	C₂³×#392	C₂²	1	2	yes	complemented
69	C₂³×#392	C₂²	1	2	yes	complemented
70	C₂³×#392	C₂²	1	2	yes	complemented
71	C₂³×#392	C₂²	1	2	yes	complemented
72	C₂³×#392	C₂²	1	2	yes	complemented
73	C₂³×#392	C₂²	1	2	yes	complemented
74	C₂³×#392	C₂²	1	2	yes	complemented
75	C₂³×#386	C₂²	1	1	yes	characteristic
76	C₂³×#386	C₂²	1	1	yes	characteristic
77	C₂³×#386	C₂²	1	1	yes	characteristic
78	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
79	C₂³×#386	C₂²	1	2	yes	complemented
80	C₂³×#386	C₂²	1	2	yes	complemented
81	C₂³×#386	C₂²	1	2	yes	complemented
82	C₂³×#386	C₂²	1	2	yes	complemented
83	C₂³×#386	C₂²	1	2	yes	complemented
84	C₂³×#386	C₂²	1	2	yes	complemented
85	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
86	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
87	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
88	C₂³×#386	C₂²	1	2	yes	complemented
89	C₂³×#386	C₂²	1	2	yes	complemented
90	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
91	C₂³×#386	C₂²	1	2	yes	complemented
92	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
93	C₂³×#386	C₂²	1	2	yes	complemented
94	C₂³×#386	C₂²	1	48	yes	complemented
95	C₂³×#385	C₂²	1	1	yes	characteristic, complemented
96	C₂³×#385	C₂²	1	2	yes	complemented
97	C₂³×#379	C₂²	1	2	yes	complemented
98	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
99	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
100	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
101	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
102	C₂⁴×#95	C₂²	1	2	yes	complemented
103	#647714	C₂²	1	1024	yes	direct product factor
104	C₂×#15310	C₂²	1	96	yes	complemented
105	C₂×#15278	C₂²	1	96	yes	complemented
106	C₂×#15263	C₂²	1	96	yes	complemented
107	C₂×#15257	C₂²	1	96	yes	complemented
108	C₂×#14757	C₂²	1	96	yes	complemented
109	C₂×#14719	C₂²	1	48	yes	complemented
110	C₂×#14718	C₂²	1	48	yes	complemented
111	C₂×#14716	C₂²	1	48	yes	complemented
112	C₂×#14716	C₂²	1	96	yes	complemented
113	C₂×#14715	C₂²	1	48	yes	complemented
114	C₂×#14694	C₂²	1	48	yes	complemented
115	C₂×#14023	C₂²	1	96	yes	complemented
116	C₂×#14015	C₂²	1	48	yes	complemented
117	C₂×#13967	C₂²	1	48	yes	complemented
118	C₂×#13867	C₂²	1	48	yes	complemented
119	C₂×#13867	C₂²	1	48	yes	complemented
120	C₂²×#1444	C₂²	1	2	yes	complemented
121	C₂²×#1441	C₂²	1	2	yes	complemented
122	C₂²×#1440	C₂²	1	2	yes	complemented
123	C₂²×#1439	C₂²	1	2	yes	complemented
124	C₂²×#1439	C₂²	1	2	yes	complemented
125	C₂²×#1439	C₂²	1	2	yes	complemented
126	C₂²×#1439	C₂²	1	2	yes	complemented
127	C₂²×#1439	C₂²	1	2	yes	complemented
128	C₂²×#1439	C₂²	1	2	yes	complemented
129	C₂²×#1438	C₂²	1	2	yes	complemented
130	C₂²×#1438	C₂²	1	2	yes	complemented
131	C₂²×#1438	C₂²	1	2	yes	complemented
132	C₂²×#1438	C₂²	1	2	yes	complemented
133	C₂²×#1438	C₂²	1	2	yes	complemented
134	C₂²×#1438	C₂²	1	2	yes	complemented
135	C₂²×#1438	C₂²	1	2	yes	complemented
136	C₂²×#1438	C₂²	1	2	yes	complemented
137	C₂²×#1438	C₂²	1	2	yes	complemented
138	C₂²×#1438	C₂²	1	2	yes	complemented
139	C₂²×#1437	C₂²	1	2	yes	complemented
140	C₂²×#1436	C₂²	1	2	yes	complemented
141	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
142	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
143	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
144	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
145	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
147	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
148	C₂⁸	C₂³	1	1	yes	characteristic
149	C₂⁸	C₂³	1	1	yes	characteristic
150	C₂⁸	C₂³	1	1	yes	characteristic
151	C₂⁸	C₂³	1	1	yes	characteristic
152	C₂⁸	C₂³	1	1	yes	characteristic
153	C₂⁵×D₄	D₄	1	32	yes	complemented
154	C₂⁵×D₄	D₄	1	32	yes	complemented
155	C₂⁵×D₄	C₂³	1	1	yes	characteristic
156	C₂⁵×D₄	C₂³	1	1	yes	characteristic
157	C₂⁵×D₄	C₂³	1	1	yes	characteristic
158	C₂⁵×D₄	C₂³	1	1	yes	characteristic
159	C₂⁵×D₄	C₂³	1	2	yes	—
160	C₂⁵×D₄	C₂³	1	1	yes	characteristic
161	C₂⁵×D₄	C₂³	1	1	yes	characteristic
162	C₂⁵×D₄	C₂³	1	1	yes	characteristic
163	C₂⁵×D₄	C₂³	1	2	yes	—
164	C₂⁵×D₄	C₂³	1	2	yes	—
165	C₂⁵×D₄	C₂³	1	1	yes	characteristic
166	C₂⁵×D₄	C₂³	1	24	yes	—
167	C₂⁵×D₄	C₂³	1	2	yes	—
168	C₂⁵×D₄	C₂³	1	1	yes	characteristic
169	C₂⁵×D₄	C₂³	1	1	yes	characteristic
170	C₂⁵×D₄	C₂³	1	1	yes	characteristic
171	C₂⁵×D₄	C₂³	1	1	yes	characteristic
172	C₂⁵×D₄	C₂³	1	24	yes	—
173	C₂⁵×D₄	C₂³	1	2	yes	—
174	C₂⁵×D₄	C₂³	1	24	yes	—
175	C₂⁵×D₄	C₂³	1	1	yes	characteristic
176	C₂⁵×D₄	C₂³	1	1	yes	characteristic
177	C₂⁵×D₄	C₂³	1	1	yes	characteristic
178	C₂⁵×D₄	C₂³	1	2	yes	—
179	C₂⁵×D₄	C₂³	1	2	yes	—
180	C₂⁵×D₄	C₂³	1	1	yes	characteristic
181	C₂⁵×D₄	C₂³	1	24	yes	complemented
182	C₂⁵×D₄	C₂³	1	24	yes	complemented
183	C₂⁵×D₄	C₂³	1	24	yes	complemented
184	C₂⁶×C₄	C₂³	1	1	yes	characteristic
185	C₂⁶×C₄	C₂³	1	1	yes	characteristic
186	C₂⁶×C₄	C₂³	1	1	yes	characteristic
187	C₂⁶×C₄	C₂³	1	1	yes	characteristic
188	C₂⁶×C₄	C₂³	1	1	yes	characteristic
189	C₂⁶×C₄	C₂³	1	2	yes	—
190	C₂⁶×C₄	C₂³	1	2	yes	—
191	C₂⁶×C₄	C₂³	1	1	yes	characteristic
192	C₂⁶×C₄	C₂³	1	2	yes	—
193	C₂⁶×C₄	C₂³	1	1	yes	characteristic
194	C₂⁶×C₄	C₂³	1	24	yes	complemented
195	C₂²×D₄²	C₂³	1	256	yes	complemented
196	C₂³×#127	C₂³	1	24	yes	complemented
197	C₂³×#121	D₄	1	64	yes	complemented
198	C₂³×#121	C₂³	1	24	yes	—
199	C₂³×#121	C₂³	1	48	yes	—
200	C₂³×#121	C₂³	1	48	yes	complemented
201	C₂³×#121	C₂³	1	24	yes	complemented
202	C₂³×#121	C₂³	1	48	yes	complemented
203	C₂³×#121	C₂³	1	48	yes	complemented
204	C₂³×#121	C₂³	1	24	yes	complemented
205	C₂³×#121	C₂³	1	24	yes	complemented
206	C₂³×#121	C₂³	1	48	yes	complemented
207	C₂³×#121	C₂³	1	256	yes	complemented
208	C₂³×#120	D₄	1	32	yes	complemented
209	C₂³×#120	C₂³	1	24	yes	—
210	C₂³×#120	C₂³	1	24	yes	—
211	C₂³×#120	C₂³	1	24	yes	—
212	C₂³×#120	C₂³	1	24	yes	complemented
213	C₂³×#120	C₂³	1	24	yes	complemented
214	C₂³×#120	C₂³	1	48	yes	complemented
215	C₂³×#120	C₂³	1	24	yes	complemented
216	C₂³×#120	C₂³	1	48	yes	complemented
217	C₂³×#120	C₂³	1	24	yes	complemented
218	C₂³×C₄×D₄	C₂³	1	24	yes	—
219	C₂³×C₄×D₄	C₂³	1	24	yes	complemented
220	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	—
221	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	—
224	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	—
225	C₂⁴×C₄⋊C₄	C₂³	1	24	yes	complemented
226	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
231	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
233	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
241	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
242	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
243	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
244	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
245	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
246	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
247	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
248	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
249	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
252	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
253	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
254	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
257	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
258	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
259	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
260	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
261	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
262	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
263	C₂⁴×C₂²⋊C₄	C₂³	1	24	yes	complemented
264	C₂⁴×C₂²⋊C₄	C₂³	1	24	yes	complemented
265	C₂⁴×C₂²⋊C₄	C₂³	1	48	yes	complemented
266	C₂⁴×C₂²⋊C₄	C₂³	1	24	yes	complemented
267	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
268	C₂×#2410	C₂³	1	256	yes	complemented
269	C₂×#2410	C₂³	1	512	yes	complemented
270	C₂×#2403	C₂³	1	256	yes	complemented
271	C₂×#2403	C₂³	1	256	yes	complemented
272	C₂²×#394	C₂³	1	48	yes	complemented
273	C₂²×#394	C₂³	1	48	yes	complemented
274	C₂²×#394	C₂³	1	48	yes	complemented
275	C₂²×#392	C₂³	1	48	yes	complemented
276	C₂²×#392	C₂³	1	48	yes	complemented
277	C₂²×#392	C₂³	1	48	yes	complemented
278	C₂²×#392	C₂³	1	48	yes	complemented
279	C₂²×#392	C₂³	1	48	yes	complemented
280	C₂²×#392	C₂³	1	48	yes	complemented
281	C₂²×#392	C₂³	1	48	yes	complemented
282	C₂²×#392	C₂³	1	48	yes	complemented
283	C₂²×#386	D₄	1	32	yes	complemented
284	C₂²×#386	C₂³	1	24	yes	—
285	C₂²×#386	C₂³	1	24	yes	—
286	C₂²×#386	C₂³	1	24	yes	—
287	C₂²×#386	C₂³	1	48	yes	complemented
288	C₂²×#386	C₂³	1	48	yes	complemented
289	C₂²×#386	C₂³	1	24	yes	complemented
290	C₂²×#386	C₂³	1	24	yes	complemented
291	C₂²×#386	C₂³	1	48	yes	complemented
292	C₂²×#386	C₂³	1	48	yes	complemented
293	C₂²×#386	C₂³	1	48	yes	complemented
294	C₂²×#386	C₂³	1	48	yes	complemented
295	C₂²×#386	C₂³	1	48	yes	complemented
296	C₂²×#386	C₂³	1	24	yes	complemented
297	C₂²×#386	C₂³	1	24	yes	complemented
298	C₂²×#386	C₂³	1	48	yes	complemented
299	C₂²×#386	C₂³	1	24	yes	complemented
300	C₂²×#386	C₂³	1	48	yes	complemented
301	C₂²×#386	C₂³	1	24	yes	complemented
302	C₂²×#386	C₂³	1	48	yes	complemented
303	C₂²×#386	C₂³	1	256	yes	complemented
304	C₂²×#385	C₂³	1	48	yes	complemented
305	C₂²×#385	C₂³	1	24	yes	complemented
306	C₂²×#379	C₂³	1	48	yes	complemented
307	C₂²×#379	C₂³	1	24	yes	complemented
308	C₂²×#379	C₂³	1	24	yes	complemented
309	C₂²×#379	C₂³	1	24	yes	complemented
310	C₂²×#379	C₂³	1	24	yes	complemented
311	C₂³×#95	C₂³	1	2	yes	—
312	C₂³×#95	C₂³	1	2	yes	—
313	C₂³×#95	C₂³	1	2	yes	—
314	C₂³×#95	C₂³	1	2	yes	—
315	C₂³×#95	C₂³	1	2	yes	—
316	C₂³×#95	C₂³	1	2	yes	—
317	C₂³×#95	C₂³	1	2	yes	—
318	C₂³×#95	C₂³	1	2	yes	—
319	C₂³×#95	C₂³	1	2	yes	—
320	C₂³×#95	C₂³	1	2	yes	—
321	C₂³×#95	C₂³	1	2	yes	—
322	C₂³×#95	C₂³	1	2	yes	—
323	C₂³×#95	C₂³	1	2	yes	—
324	C₂³×#95	C₂³	1	2	yes	—
325	C₂³×#95	C₂³	1	2	yes	—
326	C₂³×#95	C₂³	1	2	yes	—
327	C₂³×#95	C₂³	1	2	yes	—
328	C₂³×#95	C₂³	1	2	yes	—
329	C₂³×#95	C₂³	1	48	yes	complemented
330	#15310	C₂³	1	512	yes	complemented
331	#15278	C₂³	1	512	yes	complemented
332	#15263	C₂³	1	512	yes	complemented
333	#15257	C₂³	1	512	yes	complemented
334	#14757	C₂³	1	512	yes	complemented
335	#14719	C₂³	1	256	yes	complemented
336	#14718	C₂³	1	256	yes	complemented
337	#14716	C₂³	1	256	yes	complemented
338	#14716	C₂³	1	512	yes	complemented
339	#14715	C₂³	1	256	yes	complemented
340	#14694	C₂³	1	256	yes	complemented
341	#14023	C₂³	1	512	yes	complemented
342	#14015	C₂³	1	256	yes	complemented
343	#13967	C₂³	1	256	yes	complemented
344	#13867	C₂³	1	256	yes	complemented
345	#13867	C₂³	1	256	yes	complemented
346	C₂×#1444	C₂³	1	48	yes	complemented
347	C₂×#1441	C₂³	1	48	yes	complemented
348	C₂×#1440	C₂³	1	48	yes	complemented
349	C₂×#1439	C₂³	1	48	yes	complemented
350	C₂×#1439	C₂³	1	48	yes	complemented
351	C₂×#1439	C₂³	1	48	yes	complemented
352	C₂×#1439	C₂³	1	48	yes	complemented
353	C₂×#1439	C₂³	1	48	yes	complemented
354	C₂×#1439	C₂³	1	48	yes	complemented
355	C₂×#1438	C₂³	1	48	yes	complemented
356	C₂×#1438	C₂³	1	48	yes	complemented
357	C₂×#1438	C₂³	1	48	yes	complemented
358	C₂×#1438	C₂³	1	48	yes	complemented
359	C₂×#1438	C₂³	1	48	yes	complemented
360	C₂×#1438	C₂³	1	48	yes	complemented
361	C₂×#1438	C₂³	1	48	yes	complemented
362	C₂×#1438	C₂³	1	48	yes	complemented
363	C₂×#1438	C₂³	1	48	yes	complemented
364	C₂×#1438	C₂³	1	48	yes	complemented
365	C₂×#1437	C₂³	1	48	yes	complemented
366	C₂×#1436	C₂³	1	48	yes	complemented
367	C₂×C₂²⋊#95	C₂³	1	24	yes	complemented
368	C₂×C₂²⋊#95	C₂³	1	24	yes	complemented
369	C₂×C₂²⋊#95	C₂³	1	48	yes	complemented
370	C₂×C₂²⋊#95	C₂³	1	48	yes	complemented
371	C₂×C₂²⋊#95	C₂³	1	48	yes	complemented
372	C₂×C₂²⋊#95	C₂³	1	24	yes	complemented
373	C₂×C₂²⋊#95	C₂³	1	24	yes	complemented
374	C₂⁷	C₂×D₄	1	16	yes	—
375	C₂⁷	C₂×D₄	1	16	yes	—
376	C₂⁷	C₂×D₄	1	16	yes	—
377	C₂⁷	C₂×D₄	1	16	yes	—
378	C₂⁷	C₂×D₄	1	16	yes	complemented
379	C₂⁷	C₂⁴	1	1	yes	characteristic
380	C₂⁷	C₂⁴	1	1	yes	characteristic
381	C₂⁷	C₂⁴	1	1	yes	characteristic
382	C₂⁷	C₂⁴	1	2	yes	—
383	C₂⁷	C₂⁴	1	1	yes	characteristic
384	C₂⁷	C₂⁴	1	1	yes	characteristic
385	C₂⁷	C₂⁴	1	1	yes	characteristic
386	C₂⁷	C₂⁴	1	12	yes	—
387	C₂⁷	C₂⁴	1	12	yes	—
388	C₂⁷	C₂⁴	1	12	yes	—
389	C₂⁷	C₂⁴	1	12	yes	—
390	C₂⁷	C₂⁴	1	1	yes	characteristic
391	C₂⁷	C₂⁴	1	1	yes	characteristic
392	C₂⁷	C₂⁴	1	12	yes	—
393	C₂⁴×D₄	C₂×D₄	1	16	yes	—
394	C₂⁴×D₄	C₂×D₄	1	16	yes	—
395	C₂⁴×D₄	C₂×D₄	1	16	yes	—
396	C₂⁴×D₄	C₂×D₄	1	16	yes	—
397	C₂⁴×D₄	C₂×D₄	1	16	yes	—
398	C₂⁴×D₄	C₂×D₄	1	32	yes	—
399	C₂⁴×D₄	C₂×D₄	1	16	yes	—
400	C₂⁴×D₄	C₂×D₄	1	16	yes	—
401	C₂⁴×D₄	C₂×D₄	1	16	yes	—
402	C₂⁴×D₄	C₂×D₄	1	32	yes	complemented
403	C₂⁴×D₄	C₂×D₄	1	16	yes	complemented
404	C₂⁴×D₄	C₂×D₄	1	384	yes	complemented
405	C₂⁴×D₄	C₂×D₄	1	32	yes	complemented
406	C₂⁴×D₄	C₂×D₄	1	16	yes	complemented
407	C₂⁴×D₄	C₂×D₄	1	16	yes	complemented
408	C₂⁴×D₄	C₂×D₄	1	16	yes	complemented
409	C₂⁴×D₄	C₂×D₄	1	384	yes	complemented
410	C₂⁴×D₄	#41	1	16	yes	—
411	C₂⁴×D₄	C₂⁴	1	12	yes	—
412	C₂⁴×D₄	C₂⁴	1	12	yes	—
413	C₂⁴×D₄	C₂⁴	1	12	yes	—
414	C₂⁴×D₄	C₂⁴	1	12	yes	—
415	C₂⁴×D₄	C₂⁴	1	24	yes	—
416	C₂⁴×D₄	C₂⁴	1	12	yes	—
417	C₂⁴×D₄	C₂⁴	1	12	yes	—
418	C₂⁴×D₄	C₂⁴	1	24	yes	—
419	C₂⁴×D₄	C₂⁴	1	64	yes	—
420	C₂⁴×D₄	C₂⁴	1	12	yes	—
421	C₂⁴×D₄	C₂⁴	1	12	yes	—
422	C₂⁴×D₄	C₂⁴	1	24	yes	—
423	C₂⁴×D₄	C₂⁴	1	24	yes	—
424	C₂⁴×D₄	C₂⁴	1	12	yes	—
425	C₂⁴×D₄	C₂⁴	1	12	yes	—
426	C₂⁴×D₄	C₂⁴	1	24	yes	—
427	C₂⁴×D₄	C₂⁴	1	64	yes	—
428	C₂⁴×D₄	C₂⁴	1	64	yes	—
429	C₂⁴×D₄	C₂⁴	1	12	yes	—
430	C₂⁴×D₄	C₂⁴	1	12	yes	—
431	C₂⁴×D₄	C₂⁴	1	12	yes	—
432	C₂⁴×D₄	C₂⁴	1	12	yes	—
433	C₂⁴×D₄	C₂⁴	1	12	yes	—
434	C₂⁴×D₄	C₂⁴	1	24	yes	—
435	C₂⁴×D₄	C₂⁴	1	24	yes	—
436	C₂⁴×D₄	C₂⁴	1	12	yes	—
437	C₂⁴×D₄	C₂⁴	1	64	yes	complemented
438	C₂⁴×D₄	C₂⁴	1	64	yes	complemented
439	C₂⁴×D₄	C₂⁴	1	64	yes	complemented
440	C₂⁵×C₄	C₂×D₄	1	16	yes	—
441	C₂⁵×C₄	C₂×D₄	1	16	yes	complemented
442	C₂⁵×C₄	C₂×D₄	1	32	yes	complemented
443	C₂⁵×C₄	C₂×D₄	1	16	yes	complemented
444	C₂⁵×C₄	C₂⁴	1	2	yes	—
445	C₂⁵×C₄	C₂⁴	1	2	yes	—
446	C₂⁵×C₄	C₂⁴	1	2	yes	—
447	C₂⁵×C₄	C₂⁴	1	2	yes	—
448	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
449	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
450	C₂⁵×C₄	C₂⁴	1	2	yes	—
451	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
452	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
453	C₂⁵×C₄	C₂⁴	1	2	yes	—
454	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
455	C₂⁵×C₄	C₂⁴	1	12	yes	—
456	C₂⁵×C₄	C₂⁴	1	12	yes	—
457	C₂⁵×C₄	C₂⁴	1	24	yes	—
458	C₂⁵×C₄	C₂⁴	1	12	yes	—
459	C₂⁵×C₄	C₂⁴	1	12	yes	—
460	C₂⁵×C₄	C₂⁴	1	12	yes	—
461	C₂⁵×C₄	C₂⁴	1	24	yes	—
462	C₂⁵×C₄	C₂⁴	1	12	yes	—
463	C₂⁵×C₄	C₂⁴	1	24	yes	—
464	C₂⁵×C₄	C₂⁴	1	12	yes	—
465	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
466	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
467	C₂⁵×C₄	C₂⁴	1	2	yes	—
468	C₂⁵×C₄	C₂⁴	1	64	yes	complemented
469	C₂²×#127	C₂⁴	1	64	yes	complemented
470	C₂²×#121	C₂×D₄	1	768	yes	complemented
471	C₂²×#121	C₂⁴	1	64	yes	—
472	C₂²×#121	C₂⁴	1	128	yes	—
473	C₂²×#121	C₂⁴	1	128	yes	complemented
474	C₂²×#121	C₂⁴	1	128	yes	complemented
475	C₂²×#121	C₂⁴	1	64	yes	complemented
476	C₂²×#121	C₂⁴	1	128	yes	complemented
477	C₂²×#121	C₂⁴	1	64	yes	complemented
478	C₂²×#121	C₂⁴	1	64	yes	complemented
479	C₂²×#121	C₂⁴	1	128	yes	complemented
480	C₂²×#120	C₂×D₄	1	384	yes	complemented
481	C₂²×#120	C₂⁴	1	64	yes	—
482	C₂²×#120	C₂⁴	1	64	yes	—
483	C₂²×#120	C₂⁴	1	64	yes	—
484	C₂²×#120	C₂⁴	1	64	yes	complemented
485	C₂²×#120	C₂⁴	1	64	yes	complemented
486	C₂²×#120	C₂⁴	1	128	yes	complemented
487	C₂²×#120	C₂⁴	1	64	yes	complemented
488	C₂²×#120	C₂⁴	1	128	yes	complemented
489	C₂²×#120	C₂⁴	1	64	yes	complemented
490	C₂²×C₄×D₄	C₂⁴	1	64	yes	—
491	C₂²×C₄×D₄	C₂⁴	1	64	yes	complemented
492	C₂³×C₄⋊C₄	C₂×D₄	1	32	yes	complemented
493	C₂³×C₄⋊C₄	C₂⁴	1	24	yes	—
494	C₂³×C₄⋊C₄	C₂⁴	1	12	yes	—
495	C₂³×C₄⋊C₄	C₂⁴	1	12	yes	—
496	C₂³×C₄⋊C₄	C₂⁴	1	24	yes	—
497	C₂³×C₄⋊C₄	C₂⁴	1	24	yes	—
498	C₂³×C₄⋊C₄	C₂⁴	1	64	yes	complemented
499	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
500	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
501	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	complemented
502	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	complemented
503	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	complemented
504	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
505	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
506	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
507	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
508	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
509	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
510	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
511	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
512	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
513	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
514	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
515	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
516	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
517	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
518	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
519	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
520	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
521	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
522	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
523	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
524	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
525	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
526	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
527	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
528	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
529	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
530	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
531	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
532	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
533	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
534	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
535	C₂³×C₂²⋊C₄	C₂⁴	1	12	yes	—
536	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
537	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
538	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
539	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
540	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
541	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
542	C₂³×C₂²⋊C₄	C₂⁴	1	24	yes	—
543	C₂³×C₂²⋊C₄	C₂⁴	1	64	yes	complemented
544	C₂³×C₂²⋊C₄	C₂⁴	1	64	yes	complemented
545	C₂³×C₂²⋊C₄	C₂⁴	1	64	yes	complemented
546	C₂³×C₂²⋊C₄	C₂⁴	1	128	yes	complemented
547	C₂³×C₄²	C₂⁴	1	12	yes	—
548	C₂×#394	C₂⁴	1	128	yes	complemented
549	C₂×#394	C₂⁴	1	128	yes	complemented
550	C₂×#394	C₂⁴	1	128	yes	complemented
551	C₂×#392	C₂⁴	1	128	yes	complemented
552	C₂×#392	C₂⁴	1	128	yes	complemented
553	C₂×#392	C₂⁴	1	128	yes	complemented
554	C₂×#392	C₂⁴	1	128	yes	complemented
555	C₂×#392	C₂⁴	1	128	yes	complemented
556	C₂×#392	C₂⁴	1	128	yes	complemented
557	C₂×#392	C₂⁴	1	128	yes	complemented
558	C₂×#392	C₂⁴	1	128	yes	complemented
559	C₂×#386	C₂×D₄	1	384	yes	complemented
560	C₂×#386	C₂⁴	1	64	yes	—
561	C₂×#386	C₂⁴	1	64	yes	—
562	C₂×#386	C₂⁴	1	64	yes	—
563	C₂×#386	C₂⁴	1	64	yes	complemented
564	C₂×#386	C₂⁴	1	128	yes	complemented
565	C₂×#386	C₂⁴	1	64	yes	complemented
566	C₂×#386	C₂⁴	1	64	yes	complemented
567	C₂×#386	C₂⁴	1	128	yes	complemented
568	C₂×#386	C₂⁴	1	128	yes	complemented
569	C₂×#386	C₂⁴	1	128	yes	complemented
570	C₂×#386	C₂⁴	1	128	yes	complemented
571	C₂×#386	C₂⁴	1	128	yes	complemented
572	C₂×#386	C₂⁴	1	64	yes	complemented
573	C₂×#386	C₂⁴	1	64	yes	complemented
574	C₂×#386	C₂⁴	1	128	yes	complemented
575	C₂×#386	C₂⁴	1	128	yes	complemented
576	C₂×#386	C₂⁴	1	64	yes	complemented
577	C₂×#386	C₂⁴	1	128	yes	complemented
578	C₂×#386	C₂⁴	1	128	yes	complemented
579	C₂×#385	C₂⁴	1	64	yes	complemented
580	C₂×#385	C₂⁴	1	128	yes	complemented
581	C₂×#379	C₂⁴	1	64	yes	complemented
582	C₂×#379	C₂⁴	1	64	yes	complemented
583	C₂×#379	C₂⁴	1	128	yes	complemented
584	C₂×#379	C₂⁴	1	64	yes	complemented
585	C₂×#379	C₂⁴	1	64	yes	complemented
586	C₂²×#95	C₂×D₄	1	32	yes	complemented
587	C₂²×#95	C₂⁴	1	24	yes	—
588	C₂²×#95	C₂⁴	1	24	yes	—
589	C₂²×#95	C₂⁴	1	24	yes	—
590	C₂²×#95	C₂⁴	1	24	yes	—
591	C₂²×#95	C₂⁴	1	24	yes	—
592	C₂²×#95	C₂⁴	1	24	yes	—
593	C₂²×#95	C₂⁴	1	24	yes	—
594	C₂²×#95	C₂⁴	1	24	yes	—
595	C₂²×#95	C₂⁴	1	24	yes	—
596	C₂²×#95	C₂⁴	1	24	yes	—
597	C₂²×#95	C₂⁴	1	24	yes	—
598	C₂²×#95	C₂⁴	1	24	yes	—
599	C₂²×#95	C₂⁴	1	24	yes	—
600	C₂²×#95	C₂⁴	1	24	yes	—
601	C₂²×#95	C₂⁴	1	24	yes	—
602	C₂²×#95	C₂⁴	1	24	yes	—
603	C₂²×#95	C₂⁴	1	24	yes	—
604	C₂²×#95	C₂⁴	1	24	yes	—
605	C₂²×#95	C₂⁴	1	128	yes	complemented
606	#1444	C₂⁴	1	128	yes	complemented
607	#1441	C₂⁴	1	128	yes	complemented
608	#1440	C₂⁴	1	128	yes	complemented
609	#1439	C₂⁴	1	128	yes	complemented
610	#1439	C₂⁴	1	128	yes	complemented
611	#1439	C₂⁴	1	128	yes	complemented
612	#1439	C₂⁴	1	128	yes	complemented
613	#1439	C₂⁴	1	128	yes	complemented
614	#1439	C₂⁴	1	128	yes	complemented
615	#1438	C₂⁴	1	128	yes	complemented
616	#1438	C₂⁴	1	128	yes	complemented
617	#1438	C₂⁴	1	128	yes	complemented
618	#1438	C₂⁴	1	128	yes	complemented
619	#1438	C₂⁴	1	128	yes	complemented
620	#1438	C₂⁴	1	128	yes	complemented
621	#1438	C₂⁴	1	128	yes	complemented
622	#1438	C₂⁴	1	128	yes	complemented
623	#1438	C₂⁴	1	128	yes	complemented
624	#1438	C₂⁴	1	128	yes	complemented
625	#1437	C₂⁴	1	128	yes	complemented
626	#1436	C₂⁴	1	128	yes	complemented
627	C₂²⋊#95	C₂⁴	1	64	yes	complemented
628	C₂²⋊#95	C₂⁴	1	64	yes	complemented
629	C₂²⋊#95	C₂⁴	1	128	yes	complemented
630	C₂²⋊#95	C₂⁴	1	64	yes	complemented
631	C₂²⋊#95	C₂⁴	1	128	yes	complemented
632	C₂²⋊#95	C₂⁴	1	64	yes	complemented
633	C₂²⋊#95	C₂⁴	1	128	yes	complemented
634	C₂⁶	#120	1	256	yes	complemented
635	C₂⁶	C₂²×D₄	1	8	yes	—
636	C₂⁶	C₂²×D₄	1	8	yes	—
637	C₂⁶	C₂²×D₄	1	16	yes	—
638	C₂⁶	C₂²×D₄	1	8	yes	—
639	C₂⁶	C₂²×D₄	1	8	yes	—
640	C₂⁶	C₂²×D₄	1	8	yes	—
641	C₂⁶	C₂²×D₄	1	8	yes	—
642	C₂⁶	C₂²×D₄	1	8	yes	—
643	C₂⁶	C₂²×D₄	1	16	yes	—
644	C₂⁶	C₂²×D₄	1	8	yes	—
645	C₂⁶	C₂²×D₄	1	8	yes	—
646	C₂⁶	C₂²×D₄	1	96	yes	—
647	C₂⁶	C₂²×D₄	1	96	yes	—
648	C₂⁶	C₂²×D₄	1	96	yes	—
649	C₂⁶	C₂²×D₄	1	96	yes	—
650	C₂⁶	C₂²×D₄	1	8	yes	—
651	C₂⁶	C₂²×D₄	1	8	yes	—
652	C₂⁶	C₂²×D₄	1	8	yes	—
653	C₂⁶	C₂²×D₄	1	16	yes	—
654	C₂⁶	C₂²×D₄	1	8	yes	—
655	C₂⁶	C₂²×D₄	1	8	yes	—
656	C₂⁶	C₂²×D₄	1	8	yes	—
657	C₂⁶	C₂²×D₄	1	8	yes	—
658	C₂⁶	C₂²×D₄	1	96	yes	complemented
659	C₂⁶	C₂×#41	1	8	yes	—
660	C₂⁶	C₂×#41	1	8	yes	—
661	C₂⁶	H(5,𝔽₂)	1	16	yes	—
662	C₂⁶	H(5,𝔽₂)	1	8	yes	—
663	C₂⁶	H(5,𝔽₂)	1	8	yes	—
664	C₂⁶	C₂⁵	1	6	yes	—
665	C₂⁶	C₂⁵	1	6	yes	—
666	C₂⁶	C₂⁵	1	12	yes	—
667	C₂⁶	C₂⁵	1	6	yes	—
668	C₂⁶	C₂⁵	1	6	yes	—
669	C₂⁶	C₂⁵	1	6	yes	—
670	C₂⁶	C₂⁵	1	6	yes	—
671	C₂⁶	C₂⁵	1	16	yes	—
672	C₂⁶	C₂⁵	1	16	yes	—
673	C₂⁶	C₂⁵	1	16	yes	—
674	C₂⁶	C₂⁵	1	16	yes	—
675	C₂⁶	C₂⁵	1	6	yes	—
676	C₂⁶	C₂⁵	1	6	yes	—
677	C₂⁶	C₂⁵	1	16	yes	—
678	C₂⁶	C₂⁵	1	1	yes	characteristic
679	C₂³×D₄	#120	1	256	yes	complemented
680	C₂³×D₄	#121	1	256	yes	complemented
681	C₂³×D₄	C₂²×D₄	1	96	yes	—
682	C₂³×D₄	C₂²×D₄	1	96	yes	—
683	C₂³×D₄	C₂²×D₄	1	96	yes	—
684	C₂³×D₄	C₂²×D₄	1	96	yes	—
685	C₂³×D₄	C₂²×D₄	1	96	yes	—
686	C₂³×D₄	C₂²×D₄	1	192	yes	—
687	C₂³×D₄	C₂²×D₄	1	96	yes	—
688	C₂³×D₄	C₂²×D₄	1	96	yes	—
689	C₂³×D₄	C₂²×D₄	1	96	yes	—
690	C₂³×D₄	C₂²×D₄	1	192	yes	complemented
691	C₂³×D₄	C₂²×D₄	1	96	yes	complemented
692	C₂³×D₄	C₂²×D₄	1	512	yes	complemented
693	C₂³×D₄	C₂²×D₄	1	192	yes	complemented
694	C₂³×D₄	C₂²×D₄	1	96	yes	complemented
695	C₂³×D₄	C₂²×D₄	1	96	yes	complemented
696	C₂³×D₄	C₂²×D₄	1	96	yes	complemented
697	C₂³×D₄	C₂²×D₄	1	512	yes	complemented
698	C₂³×D₄	C₂×#41	1	96	yes	—
699	C₂³×D₄	C₂⁵	1	16	yes	—
700	C₂³×D₄	C₂⁵	1	16	yes	—
701	C₂³×D₄	C₂⁵	1	16	yes	—
702	C₂³×D₄	C₂⁵	1	16	yes	—
703	C₂³×D₄	C₂⁵	1	32	yes	—
704	C₂³×D₄	C₂⁵	1	16	yes	—
705	C₂³×D₄	C₂⁵	1	16	yes	—
706	C₂³×D₄	C₂⁵	1	32	yes	—
707	C₂³×D₄	C₂⁵	1	32	yes	—
708	C₂³×D₄	C₂⁵	1	16	yes	—
709	C₂³×D₄	C₂⁵	1	16	yes	—
710	C₂³×D₄	C₂⁵	1	32	yes	—
711	C₂³×D₄	C₂⁵	1	16	yes	—
712	C₂³×D₄	C₂⁵	1	16	yes	—
713	C₂³×D₄	C₂⁵	1	16	yes	—
714	C₂³×D₄	C₂⁵	1	16	yes	—
715	C₂³×D₄	C₂⁵	1	32	yes	—
716	C₂³×D₄	C₂⁵	1	16	yes	—
717	C₂³×D₄	C₂⁵	1	16	yes	—
718	C₂³×D₄	C₂⁵	1	32	yes	—
719	C₂³×D₄	C₂⁵	1	16	yes	—
720	C₂³×D₄	C₂⁵	1	32	yes	—
721	C₂³×D₄	C₂⁵	1	16	yes	—
722	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
723	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
724	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
725	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
726	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
727	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
728	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
729	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
730	C₂⁴×C₄	C₂²×D₄	1	96	yes	—
731	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
732	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
733	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
734	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
735	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
736	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
737	C₂⁴×C₄	C₂²×D₄	1	96	yes	complemented
738	C₂⁴×C₄	C₂²×D₄	1	192	yes	complemented
739	C₂⁴×C₄	C₂²×D₄	1	96	yes	complemented
740	C₂⁴×C₄	C₂×#41	1	8	yes	—
741	C₂⁴×C₄	H(5,𝔽₂)	1	16	yes	—
742	C₂⁴×C₄	C₂⁵	1	12	yes	—
743	C₂⁴×C₄	C₂⁵	1	12	yes	—
744	C₂⁴×C₄	C₂⁵	1	12	yes	—
745	C₂⁴×C₄	C₂⁵	1	12	yes	—
746	C₂⁴×C₄	C₂⁵	1	6	yes	—
747	C₂⁴×C₄	C₂⁵	1	6	yes	—
748	C₂⁴×C₄	C₂⁵	1	12	yes	—
749	C₂⁴×C₄	C₂⁵	1	6	yes	—
750	C₂⁴×C₄	C₂⁵	1	6	yes	—
751	C₂⁴×C₄	C₂⁵	1	12	yes	—
752	C₂⁴×C₄	C₂⁵	1	6	yes	—
753	C₂⁴×C₄	C₂⁵	1	16	yes	—
754	C₂⁴×C₄	C₂⁵	1	16	yes	—
755	C₂⁴×C₄	C₂⁵	1	32	yes	—
756	C₂⁴×C₄	C₂⁵	1	16	yes	—
757	C₂⁴×C₄	C₂⁵	1	16	yes	—
758	C₂⁴×C₄	C₂⁵	1	16	yes	—
759	C₂⁴×C₄	C₂⁵	1	32	yes	—
760	C₂⁴×C₄	C₂⁵	1	16	yes	—
761	C₂⁴×C₄	C₂⁵	1	32	yes	—
762	C₂⁴×C₄	C₂⁵	1	16	yes	—
763	C₂⁴×C₄	C₂⁵	1	6	yes	—
764	C₂⁴×C₄	C₂⁵	1	6	yes	—
765	C₂⁴×C₄	C₂⁵	1	12	yes	—
766	C₂×#121	C₂²×D₄	1	1024	yes	complemented
767	C₂×#120	C₂²×D₄	1	512	yes	complemented
768	C₂²×C₄⋊C₄	C₂²×D₄	1	192	yes	complemented
769	C₂²×C₄⋊C₄	C₂⁵	1	32	yes	—
770	C₂²×C₄⋊C₄	C₂⁵	1	16	yes	—
771	C₂²×C₄⋊C₄	C₂⁵	1	16	yes	—
772	C₂²×C₄⋊C₄	C₂⁵	1	32	yes	—
773	C₂²×C₄⋊C₄	C₂⁵	1	32	yes	—
774	C₂²×C₂²⋊C₄	C₂²×D₄	1	96	yes	—
775	C₂²×C₂²⋊C₄	C₂²×D₄	1	192	yes	complemented
776	C₂²×C₂²⋊C₄	C₂²×D₄	1	192	yes	complemented
777	C₂²×C₂²⋊C₄	C₂²×D₄	1	96	yes	complemented
778	C₂²×C₂²⋊C₄	C₂²×D₄	1	192	yes	complemented
779	C₂²×C₂²⋊C₄	C₂²×D₄	1	96	yes	complemented
780	C₂²×C₂²⋊C₄	C₂²×D₄	1	96	yes	complemented
781	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
782	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
783	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
784	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
785	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
786	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
787	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
788	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
789	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
790	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
791	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
792	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
793	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
794	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
795	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
796	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
797	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
798	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
799	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
800	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
801	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
802	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
803	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
804	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
805	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
806	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
807	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
808	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
809	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
810	C₂²×C₂²⋊C₄	C₂⁵	1	16	yes	—
811	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
812	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
813	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
814	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
815	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
816	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
817	C₂²×C₂²⋊C₄	C₂⁵	1	32	yes	—
818	C₂²×C₄²	C₂⁵	1	16	yes	—
819	#386	C₂²×D₄	1	512	yes	complemented
820	C₂×#95	C₂²×D₄	1	192	yes	complemented
821	C₂×#95	C₂⁵	1	32	yes	—
822	C₂×#95	C₂⁵	1	32	yes	—
823	C₂×#95	C₂⁵	1	32	yes	—
824	C₂×#95	C₂⁵	1	32	yes	—
825	C₂×#95	C₂⁵	1	32	yes	—
826	C₂×#95	C₂⁵	1	32	yes	—
827	C₂×#95	C₂⁵	1	32	yes	—
828	C₂×#95	C₂⁵	1	32	yes	—
829	C₂×#95	C₂⁵	1	32	yes	—
830	C₂×#95	C₂⁵	1	32	yes	—
831	C₂×#95	C₂⁵	1	32	yes	—
832	C₂×#95	C₂⁵	1	32	yes	—
833	C₂×#95	C₂⁵	1	32	yes	—
834	C₂×#95	C₂⁵	1	32	yes	—
835	C₂×#95	C₂⁵	1	32	yes	—
836	C₂×#95	C₂⁵	1	32	yes	—
837	C₂×#95	C₂⁵	1	32	yes	—
838	C₂×#95	C₂⁵	1	32	yes	—
839	C₂⁵	C₂×#120	1	64	yes	—
840	C₂⁵	C₂×#120	1	64	yes	—
841	C₂⁵	C₂×#120	1	64	yes	—
842	C₂⁵	C₂×#120	1	64	yes	—
843	C₂⁵	C₂×#120	1	64	yes	—
844	C₂⁵	C₂×#120	1	768	yes	complemented
845	C₂⁵	C₂×#121	1	64	yes	—
846	C₂⁵	C₂×#121	1	64	yes	complemented
847	C₂⁵	#534	1	64	yes	—
848	C₂⁵	#534	1	64	yes	—
849	C₂⁵	D₄²	1	128	yes	—
850	C₂⁵	D₄²	1	128	yes	—
851	C₂⁵	D₄²	1	64	yes	—
852	C₂⁵	D₄²	1	64	yes	—
853	C₂⁵	#546	1	64	yes	—
854	C₂⁵	#546	1	64	yes	—
855	C₂⁵	C₂³×D₄	1	24	yes	—
856	C₂⁵	C₂³×D₄	1	24	yes	—
857	C₂⁵	C₂³×D₄	1	24	yes	—
858	C₂⁵	C₂³×D₄	1	48	yes	—
859	C₂⁵	C₂³×D₄	1	48	yes	—
860	C₂⁵	C₂³×D₄	1	24	yes	—
861	C₂⁵	C₂³×D₄	1	24	yes	—
862	C₂⁵	C₂³×D₄	1	24	yes	—
863	C₂⁵	C₂³×D₄	1	24	yes	—
864	C₂⁵	C₂³×D₄	1	24	yes	—
865	C₂⁵	C₂³×D₄	1	24	yes	—
866	C₂⁵	C₂³×D₄	1	64	yes	—
867	C₂⁵	C₂³×D₄	1	64	yes	—
868	C₂⁵	C₂³×D₄	1	64	yes	—
869	C₂⁵	C₂³×D₄	1	64	yes	—
870	C₂⁵	C₂³×D₄	1	24	yes	—
871	C₂⁵	C₂³×D₄	1	24	yes	—
872	C₂⁵	C₂³×D₄	1	24	yes	—
873	C₂⁵	C₂³×D₄	1	48	yes	—
874	C₂⁵	C₂³×D₄	1	24	yes	—
875	C₂⁵	C₂³×D₄	1	24	yes	—
876	C₂⁵	C₂³×D₄	1	24	yes	—
877	C₂⁵	C₂³×D₄	1	24	yes	—
878	C₂⁵	C₂³×D₄	1	4	yes	—
879	C₂⁵	C₂³×D₄	1	4	yes	—
880	C₂⁵	C₂³×D₄	1	4	yes	—
881	C₂⁵	C₂³×D₄	1	8	yes	—
882	C₂⁵	C₂³×D₄	1	4	yes	—
883	C₂⁵	C₂³×D₄	1	64	yes	complemented
884	C₂⁵	C₂²×#41	1	24	yes	—
885	C₂⁵	C₂²×#41	1	24	yes	—
886	C₂⁵	C₂²×#41	1	4	yes	—
887	C₂⁵	C₂×H(5,𝔽₂)	1	48	yes	—
888	C₂⁵	C₂×H(5,𝔽₂)	1	24	yes	—
889	C₂⁵	C₂×H(5,𝔽₂)	1	24	yes	—
890	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
891	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
892	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
893	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
894	C₂⁵	#585	1	8	yes	—
895	C₂⁵	C₂⁶	1	4	yes	—
896	C₂⁵	C₂⁶	1	4	yes	—
897	C₂⁵	C₂⁶	1	8	yes	—
898	C₂⁵	C₂⁶	1	4	yes	—
899	C₂⁵	C₂⁶	1	4	yes	—
900	C₂⁵	C₂⁶	1	4	yes	—
901	C₂⁵	C₂⁶	1	4	yes	—
902	C₂⁵	C₂⁶	1	4	yes	—
903	C₂⁵	C₂⁶	1	4	yes	—
904	C₂⁵	C₂⁶	1	3	yes	—
905	C₂²×D₄	C₂×#120	1	768	yes	complemented
906	C₂²×D₄	C₂×#121	1	768	yes	complemented
907	C₂²×D₄	C₂³×D₄	1	64	yes	—
908	C₂²×D₄	C₂³×D₄	1	64	yes	—
909	C₂²×D₄	C₂³×D₄	1	64	yes	—
910	C₂²×D₄	C₂³×D₄	1	64	yes	—
911	C₂²×D₄	C₂³×D₄	1	64	yes	—
912	C₂²×D₄	C₂³×D₄	1	64	yes	—
913	C₂²×D₄	C₂³×D₄	1	128	yes	—
914	C₂²×D₄	C₂³×D₄	1	64	yes	—
915	C₂²×D₄	C₂³×D₄	1	64	yes	—
916	C₂²×D₄	C₂³×D₄	1	128	yes	complemented
917	C₂²×D₄	C₂³×D₄	1	64	yes	complemented
918	C₂²×D₄	C₂³×D₄	1	128	yes	complemented
919	C₂²×D₄	C₂³×D₄	1	64	yes	complemented
920	C₂²×D₄	C₂³×D₄	1	64	yes	complemented
921	C₂²×D₄	C₂³×D₄	1	64	yes	complemented
922	C₂²×D₄	C₂²×#41	1	64	yes	—
923	C₂³×C₄	C₂×#120	1	64	yes	—
924	C₂³×C₄	C₂×#121	1	64	yes	complemented
925	C₂³×C₄	D₄²	1	128	yes	complemented
926	C₂³×C₄	C₂³×D₄	1	48	yes	—
927	C₂³×C₄	C₂³×D₄	1	48	yes	—
928	C₂³×C₄	C₂³×D₄	1	24	yes	—
929	C₂³×C₄	C₂³×D₄	1	24	yes	—
930	C₂³×C₄	C₂³×D₄	1	24	yes	—
931	C₂³×C₄	C₂³×D₄	1	48	yes	—
932	C₂³×C₄	C₂³×D₄	1	24	yes	—
933	C₂³×C₄	C₂³×D₄	1	24	yes	—
934	C₂³×C₄	C₂³×D₄	1	64	yes	—
935	C₂³×C₄	C₂³×D₄	1	24	yes	—
936	C₂³×C₄	C₂³×D₄	1	48	yes	—
937	C₂³×C₄	C₂³×D₄	1	24	yes	—
938	C₂³×C₄	C₂³×D₄	1	24	yes	—
939	C₂³×C₄	C₂³×D₄	1	48	yes	—
940	C₂³×C₄	C₂³×D₄	1	48	yes	—
941	C₂³×C₄	C₂³×D₄	1	64	yes	complemented
942	C₂³×C₄	C₂³×D₄	1	128	yes	complemented
943	C₂³×C₄	C₂³×D₄	1	64	yes	complemented
944	C₂³×C₄	C₂²×#41	1	24	yes	—
945	C₂³×C₄	C₂×H(5,𝔽₂)	1	48	yes	—
946	C₂³×C₄	C₂⁶	1	8	yes	—
947	C₂³×C₄	C₂⁶	1	8	yes	—
948	C₂³×C₄	C₂⁶	1	8	yes	—
949	C₂³×C₄	C₂⁶	1	8	yes	—
950	C₂³×C₄	C₂⁶	1	8	yes	—
951	C₂³×C₄	C₂⁶	1	4	yes	—
952	C₂³×C₄	C₂⁶	1	8	yes	—
953	C₂³×C₄	C₂⁶	1	4	yes	—
954	C₂³×C₄	C₂⁶	1	4	yes	—
955	C₂³×C₄	C₂⁶	1	4	yes	—
956	C₂³×C₄	C₂⁶	1	4	yes	—
957	C₂³×C₄	C₂⁶	1	4	yes	—
958	C₂³×C₄	C₂⁶	1	4	yes	—
959	C₂³×C₄	C₂⁶	1	8	yes	—
960	C₂×C₄⋊C₄	C₂³×D₄	1	128	yes	complemented
961	C₂×C₂²⋊C₄	C₂³×D₄	1	64	yes	—
962	C₂×C₂²⋊C₄	C₂³×D₄	1	64	yes	complemented
963	C₂×C₂²⋊C₄	C₂³×D₄	1	128	yes	complemented
964	C₂×C₂²⋊C₄	C₂³×D₄	1	128	yes	complemented
965	C₂×C₂²⋊C₄	C₂³×D₄	1	128	yes	complemented
966	C₂×C₂²⋊C₄	C₂³×D₄	1	64	yes	complemented
967	C₂×C₂²⋊C₄	C₂³×D₄	1	64	yes	complemented
968	#95	C₂³×D₄	1	128	yes	complemented
969	C₂⁴	#2403	1	512	yes	complemented
970	C₂⁴	#2410	1	512	yes	complemented
971	C₂⁴	C₂²×#120	1	96	yes	—
972	C₂⁴	C₂²×#120	1	96	yes	—
973	C₂⁴	C₂²×#120	1	96	yes	—
974	C₂⁴	C₂²×#120	1	96	yes	—
975	C₂⁴	C₂²×#120	1	96	yes	—
976	C₂⁴	C₂²×#120	1	16	yes	—
977	C₂⁴	C₂²×#120	1	16	yes	—
978	C₂⁴	C₂²×#120	1	256	yes	complemented
979	C₂⁴	C₂²×#121	1	96	yes	—
980	C₂⁴	C₂²×#121	1	16	yes	—
981	C₂⁴	C₂²×#121	1	96	yes	complemented
982	C₂⁴	C₂×#534	1	96	yes	—
983	C₂⁴	C₂×#534	1	96	yes	—
984	C₂⁴	C₂×#534	1	16	yes	—
985	C₂⁴	C₂×#534	1	16	yes	—
986	C₂⁴	C₂×D₄²	1	192	yes	—
987	C₂⁴	C₂×D₄²	1	192	yes	—
988	C₂⁴	C₂×D₄²	1	96	yes	—
989	C₂⁴	C₂×D₄²	1	96	yes	—
990	C₂⁴	C₂×D₄²	1	16	yes	—
991	C₂⁴	C₂×D₄²	1	32	yes	—
992	C₂⁴	C₂×D₄²	1	32	yes	—
993	C₂⁴	C₂×D₄²	1	16	yes	—
994	C₂⁴	C₂×D₄²	1	32	yes	—
995	C₂⁴	C₂×#546	1	96	yes	—
996	C₂⁴	C₂×#546	1	96	yes	—
997	C₂⁴	C₂×#546	1	16	yes	—
998	C₂⁴	C₂×#546	1	16	yes	—
999	C₂⁴	D₄×#41	1	32	yes	—
1000	C₂⁴	#3484	1	16	yes	—
1001	C₂⁴	#3484	1	32	yes	—
1002	C₂⁴	#3485	1	16	yes	—
1003	C₂⁴	#3488	1	32	yes	—
1004	C₂⁴	#3488	1	32	yes	—
1005	C₂⁴	#3496	1	32	yes	—
1006	C₂⁴	#3496	1	32	yes	—
1007	C₂⁴	#3519	1	32	yes	—
1008	C₂⁴	#3534	1	32	yes	—
1009	C₂⁴	#3537	1	32	yes	—
1010	C₂⁴	C₂⁴×D₄	1	8	yes	—
1011	C₂⁴	C₂⁴×D₄	1	8	yes	—
1012	C₂⁴	C₂⁴×D₄	1	8	yes	—
1013	C₂⁴	C₂⁴×D₄	1	16	yes	—
1014	C₂⁴	C₂⁴×D₄	1	16	yes	—
1015	C₂⁴	C₂⁴×D₄	1	8	yes	—
1016	C₂⁴	C₂⁴×D₄	1	8	yes	—
1017	C₂⁴	C₂⁴×D₄	1	8	yes	—
1018	C₂⁴	C₂⁴×D₄	1	8	yes	—
1019	C₂⁴	C₂⁴×D₄	1	8	yes	—
1020	C₂⁴	C₂⁴×D₄	1	8	yes	—
1021	C₂⁴	C₂⁴×D₄	1	8	yes	—
1022	C₂⁴	C₂⁴×D₄	1	8	yes	—
1023	C₂⁴	C₂⁴×D₄	1	8	yes	—
1024	C₂⁴	C₂⁴×D₄	1	16	yes	—
1025	C₂⁴	C₂⁴×D₄	1	8	yes	—
1026	C₂⁴	C₂⁴×D₄	1	8	yes	—
1027	C₂⁴	C₂⁴×D₄	1	8	yes	—
1028	C₂⁴	C₂⁴×D₄	1	8	yes	—
1029	C₂⁴	C₂⁴×D₄	1	6	yes	—
1030	C₂⁴	C₂⁴×D₄	1	12	yes	—
1031	C₂⁴	C₂⁴×D₄	1	6	yes	—
1032	C₂⁴	C₂⁴×D₄	1	6	yes	—
1033	C₂⁴	C₂⁴×D₄	1	6	yes	—
1034	C₂⁴	C₂³×#41	1	8	yes	—
1035	C₂⁴	C₂³×#41	1	8	yes	—
1036	C₂⁴	C₂³×#41	1	6	yes	—
1037	C₂⁴	C₂²×H(5,𝔽₂)	1	16	yes	—
1038	C₂⁴	C₂²×H(5,𝔽₂)	1	8	yes	—
1039	C₂⁴	C₂²×H(5,𝔽₂)	1	8	yes	—
1040	C₂⁴	C₂²×H(5,𝔽₂)	1	6	yes	—
1041	C₂⁴	C₂²×H(5,𝔽₂)	1	12	yes	—
1042	C₂⁴	C₂²×H(5,𝔽₂)	1	6	yes	—
1043	C₂⁴	C₂²×H(5,𝔽₂)	1	12	yes	—
1044	C₂⁴	C₂×#585	1	12	yes	—
1045	C₂⁴	C₂⁷	1	1	yes	characteristic
1046	C₂×D₄	C₂²×#120	1	256	yes	complemented
1047	C₂×D₄	C₂²×#121	1	256	yes	complemented
1048	C₂²×C₄	C₂²×#120	1	96	yes	—
1049	C₂²×C₄	C₂²×#121	1	96	yes	complemented
1050	C₂²×C₄	C₂×D₄²	1	192	yes	complemented
1051	C₂²×C₄	C₂⁴×D₄	1	8	yes	—
1052	C₂²×C₄	C₂⁴×D₄	1	8	yes	—
1053	C₂²×C₄	C₂⁴×D₄	1	8	yes	—
1054	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
1055	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
1056	C₂²×C₄	C₂⁴×D₄	1	8	yes	—
1057	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
1058	C₂²×C₄	C₂⁴×D₄	1	8	yes	—
1059	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
1060	C₂²×C₄	C₂⁴×D₄	1	8	yes	—
1061	C₂²×C₄	C₂⁴×D₄	1	8	yes	—
1062	C₂²×C₄	C₂⁴×D₄	1	8	yes	—
1063	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
1064	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
1065	C₂²×C₄	C₂³×#41	1	8	yes	—
1066	C₂²×C₄	C₂²×H(5,𝔽₂)	1	16	yes	—
1067	C₂³	C₂×#2403	1	64	yes	—
1068	C₂³	C₂×#2403	1	384	yes	complemented
1069	C₂³	C₂×#2410	1	64	yes	—
1070	C₂³	C₂×#2410	1	384	yes	complemented
1071	C₂³	#35347	1	64	yes	—
1072	C₂³	D₄×#120	1	64	yes	—
1073	C₂³	D₄×#121	1	128	yes	—
1074	C₂³	#36212	1	64	yes	—
1075	C₂³	#37646	1	64	yes	—
1076	C₂³	#37672	1	128	yes	—
1077	C₂³	#38020	1	64	yes	—
1078	C₂³	#58997	1	128	yes	—
1079	C₂³	#59123	1	128	yes	—
1080	C₂³	C₂³×#120	1	16	yes	—
1081	C₂³	C₂³×#120	1	16	yes	—
1082	C₂³	C₂³×#120	1	16	yes	—
1083	C₂³	C₂³×#120	1	16	yes	—
1084	C₂³	C₂³×#120	1	16	yes	—
1085	C₂³	C₂³×#120	1	12	yes	—
1086	C₂³	C₂³×#120	1	12	yes	—
1087	C₂³	C₂³×#121	1	16	yes	—
1088	C₂³	C₂³×#121	1	12	yes	—
1089	C₂³	C₂³×#121	1	16	yes	complemented
1090	C₂³	C₂²×#534	1	16	yes	—
1091	C₂³	C₂²×#534	1	16	yes	—
1092	C₂³	C₂²×#534	1	12	yes	—
1093	C₂³	C₂²×#534	1	12	yes	—
1094	C₂³	C₂²×D₄²	1	32	yes	—
1095	C₂³	C₂²×D₄²	1	32	yes	—
1096	C₂³	C₂²×D₄²	1	16	yes	—
1097	C₂³	C₂²×D₄²	1	16	yes	—
1098	C₂³	C₂²×D₄²	1	12	yes	—
1099	C₂³	C₂²×D₄²	1	24	yes	—
1100	C₂³	C₂²×D₄²	1	24	yes	—
1101	C₂³	C₂²×D₄²	1	12	yes	—
1102	C₂³	C₂²×D₄²	1	24	yes	—
1103	C₂³	C₂²×#546	1	16	yes	—
1104	C₂³	C₂²×#546	1	16	yes	—
1105	C₂³	C₂²×#546	1	12	yes	—
1106	C₂³	C₂²×#546	1	12	yes	—
1107	C₂³	C₂×D₄×#41	1	24	yes	—
1108	C₂³	C₂×#3534	1	24	yes	—
1109	C₂³	C₂×#3537	1	24	yes	—
1110	C₂³	C₂×#3484	1	24	yes	—
1111	C₂³	C₂×#3484	1	12	yes	—
1112	C₂³	C₂×#3496	1	24	yes	—
1113	C₂³	C₂×#3496	1	24	yes	—
1114	C₂³	C₂×#3519	1	24	yes	—
1115	C₂³	C₂×#3485	1	12	yes	—
1116	C₂³	C₂×#3488	1	24	yes	—
1117	C₂³	C₂×#3488	1	24	yes	—
1118	C₂³	C₂⁵×D₄	1	1	yes	characteristic
1119	C₂³	C₂⁵×D₄	1	1	yes	characteristic
1120	C₂³	C₂⁵×D₄	1	1	yes	characteristic
1121	C₂³	C₂⁵×D₄	1	2	yes	—
1122	C₂³	C₂⁵×D₄	1	1	yes	characteristic
1123	C₂³	C₂⁴×#41	1	1	yes	characteristic
1124	C₂³	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1125	C₂³	C₂³×H(5,𝔽₂)	1	2	yes	—
1126	C₂³	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1127	C₂³	C₂³×H(5,𝔽₂)	1	2	yes	—
1128	C₂³	C₂²×#585	1	2	yes	—
1129	C₂×C₄	C₂³×#120	1	16	yes	—
1130	C₂×C₄	C₂³×#121	1	16	yes	complemented
1131	C₂×C₄	C₂²×D₄²	1	32	yes	complemented
1132	C₂²	#647714	1	256	yes	direct product factor
1133	C₂²	C₂²×#2403	1	24	yes	—
1134	C₂²	C₂²×#2403	1	32	yes	complemented
1135	C₂²	C₂²×#2410	1	24	yes	—
1136	C₂²	C₂²×#2410	1	32	yes	complemented
1137	C₂²	C₂×#35347	1	24	yes	—
1138	C₂²	C₂×D₄×#120	1	24	yes	—
1139	C₂²	C₂×D₄×#121	1	48	yes	—
1140	C₂²	C₂×#36212	1	24	yes	—
1141	C₂²	C₂×#37672	1	48	yes	—
1142	C₂²	C₂×#37646	1	24	yes	—
1143	C₂²	C₂×#38020	1	24	yes	—
1144	C₂²	C₂×#59123	1	48	yes	—
1145	C₂²	C₂×#58997	1	48	yes	—
1146	C₂²	C₂⁴×#120	1	1	yes	characteristic
1147	C₂²	C₂⁴×#120	1	1	yes	characteristic
1148	C₂²	C₂⁴×#121	1	1	yes	characteristic
1149	C₂²	C₂³×#534	1	1	yes	characteristic
1150	C₂²	C₂³×#534	1	1	yes	characteristic
1151	C₂²	C₂³×D₄²	1	2	yes	—
1152	C₂²	C₂³×D₄²	1	1	yes	characteristic
1153	C₂²	C₂³×D₄²	1	2	yes	—
1154	C₂²	C₂³×D₄²	1	2	yes	—
1155	C₂²	C₂³×D₄²	1	1	yes	characteristic
1156	C₂²	C₂³×#546	1	1	yes	characteristic
1157	C₂²	C₂³×#546	1	1	yes	characteristic
1158	C₂²	C₂²×D₄×#41	1	2	yes	—
1159	C₂²	C₂²×#3484	1	1	yes	characteristic
1160	C₂²	C₂²×#3484	1	2	yes	—
1161	C₂²	C₂²×#3496	1	2	yes	—
1162	C₂²	C₂²×#3496	1	2	yes	—
1163	C₂²	C₂²×#3519	1	2	yes	—
1164	C₂²	C₂²×#3485	1	1	yes	characteristic
1165	C₂²	C₂²×#3488	1	2	yes	—
1166	C₂²	C₂²×#3488	1	2	yes	—
1167	C₂²	C₂²×#3534	1	2	yes	—
1168	C₂²	C₂²×#3537	1	2	yes	—
1169	C₂	C₂²×D₄×#120	1	1	yes	characteristic
1170	C₂	C₂³×#2403	1	1	yes	characteristic
1171	C₂	C₂×#647714	1	48	yes	direct product factor
1172	C₂	C₂²×#37672	1	2	yes	—
1173	C₂	C₂²×#59123	1	2	yes	—
1174	C₂	C₂²×#58997	1	2	yes	—
1175	C₂	C₂²×#35347	1	1	yes	characteristic
1176	C₂	C₂²×#36212	1	1	yes	characteristic
1177	C₂	C₂³×#2410	1	1	yes	characteristic
1178	C₂	C₂²×#37646	1	1	yes	characteristic
1179	C₂	C₂²×D₄×#121	1	2	yes	—
1180	C₂	C₂²×#38020	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁶	C₂⁵
commutator, Frattini, cosocle	C₂⁴	C₂⁷
LCS	G ▷ C₂⁴ ▷ C₁
UCS	C₁ ◁ C₂⁶ ◁ G
LECS	G ▷ C₂⁴ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂²×#14015	C₂	semidirect
2. C₂²×#14757	C₂	semidirect
3. C₂²×#15278	C₂	semidirect
4. C₂²×#14719	C₂	semidirect
5. C₂⁵×#121	C₂	semidirect
6. C₂²×#15310	C₂	semidirect
7. C₂²×#14023	C₂	semidirect
8. C₂²×#15263	C₂	semidirect
9. C₂²×#14718	C₂	semidirect
10. C₂⁴×#386	C₂	semidirect
11. C₂²×#15257	C₂	semidirect
12. C₂³×#2410	C₂	semidirect
13. C₂³×#2410	C₂	semidirect
14. C₂²×#14716	C₂	semidirect
15. C₂²×#14716	C₂	semidirect
16. C₂²×#13967	C₂	semidirect
17. C₂²×#14694	C₂	semidirect
18. C₂²×#13867	C₂	semidirect
19. C₂²×#13867	C₂	semidirect
20. C₂²×#14715	C₂	semidirect
21. C₂×#647714	C₂	direct (N × H)
22. C₂³×#2403	C₂	semidirect
23. C₂³×#2403	C₂	semidirect
24. C₂⁴×D₄²	C₂	semidirect
28. C₂⁶×D₄	C₂²	semidirect
29. C₂⁶×D₄	C₂²	semidirect
30. C₂⁶×D₄	C₂²	semidirect
31. C₂⁷×C₄	C₂²	semidirect
32. C₂³×D₄²	C₂²	semidirect
33. C₂⁴×#127	C₂²	semidirect
36. C₂⁴×#121	C₂²	semidirect
37. C₂⁴×#121	C₂²	semidirect
38. C₂⁴×#121	C₂²	semidirect
39. C₂⁴×#121	C₂²	semidirect
40. C₂⁴×#121	C₂²	semidirect
41. C₂⁴×#121	C₂²	semidirect
42. C₂⁴×#121	C₂²	semidirect
43. C₂⁴×#121	C₂²	semidirect
47. C₂⁴×#120	C₂²	semidirect
48. C₂⁴×#120	C₂²	semidirect
49. C₂⁴×#120	C₂²	semidirect
50. C₂⁴×#120	C₂²	semidirect
51. C₂⁴×#120	C₂²	semidirect
52. C₂⁴×#120	C₂²	semidirect
54. C₂⁴×C₄×D₄	C₂²	semidirect
55. C₂⁵×C₄⋊C₄	C₂²	semidirect
56. C₂⁵×C₂²⋊C₄	C₂²	semidirect
57. C₂⁵×C₂²⋊C₄	C₂²	semidirect
58. C₂⁵×C₂²⋊C₄	C₂²	semidirect
59. C₂⁵×C₂²⋊C₄	C₂²	semidirect
60. C₂²×#2410	C₂²	semidirect
61. C₂²×#2410	C₂²	semidirect
62. C₂²×#2403	C₂²	semidirect
63. C₂²×#2403	C₂²	semidirect
64. C₂³×#394	C₂²	semidirect
65. C₂³×#394	C₂²	semidirect
66. C₂³×#394	C₂²	semidirect
67. C₂³×#392	C₂²	semidirect
68. C₂³×#392	C₂²	semidirect
69. C₂³×#392	C₂²	semidirect
70. C₂³×#392	C₂²	semidirect
71. C₂³×#392	C₂²	semidirect
72. C₂³×#392	C₂²	semidirect
73. C₂³×#392	C₂²	semidirect
74. C₂³×#392	C₂²	semidirect
78. C₂³×#386	C₂²	semidirect
79. C₂³×#386	C₂²	semidirect
80. C₂³×#386	C₂²	semidirect
81. C₂³×#386	C₂²	semidirect
82. C₂³×#386	C₂²	semidirect
83. C₂³×#386	C₂²	semidirect
84. C₂³×#386	C₂²	semidirect
85. C₂³×#386	C₂²	semidirect
86. C₂³×#386	C₂²	semidirect
87. C₂³×#386	C₂²	semidirect
88. C₂³×#386	C₂²	semidirect
89. C₂³×#386	C₂²	semidirect
90. C₂³×#386	C₂²	semidirect
91. C₂³×#386	C₂²	semidirect
92. C₂³×#386	C₂²	semidirect
93. C₂³×#386	C₂²	semidirect
94. C₂³×#386	C₂²	semidirect
95. C₂³×#385	C₂²	semidirect
96. C₂³×#385	C₂²	semidirect
97. C₂³×#379	C₂²	semidirect
98. C₂³×#379	C₂²	semidirect
99. C₂³×#379	C₂²	semidirect
100. C₂³×#379	C₂²	semidirect
101. C₂³×#379	C₂²	semidirect
102. C₂⁴×#95	C₂²	semidirect
103. #647714	C₂²	direct (N × H)
104. C₂×#15310	C₂²	semidirect
105. C₂×#15278	C₂²	semidirect
106. C₂×#15263	C₂²	semidirect
107. C₂×#15257	C₂²	semidirect
108. C₂×#14757	C₂²	semidirect
109. C₂×#14719	C₂²	semidirect
110. C₂×#14718	C₂²	semidirect
111. C₂×#14716	C₂²	semidirect
112. C₂×#14716	C₂²	semidirect
113. C₂×#14715	C₂²	semidirect
114. C₂×#14694	C₂²	semidirect
115. C₂×#14023	C₂²	semidirect
116. C₂×#14015	C₂²	semidirect
117. C₂×#13967	C₂²	semidirect
118. C₂×#13867	C₂²	semidirect
119. C₂×#13867	C₂²	semidirect
120. C₂²×#1444	C₂²	semidirect
121. C₂²×#1441	C₂²	semidirect
122. C₂²×#1440	C₂²	semidirect
123. C₂²×#1439	C₂²	semidirect
124. C₂²×#1439	C₂²	semidirect
125. C₂²×#1439	C₂²	semidirect
126. C₂²×#1439	C₂²	semidirect
127. C₂²×#1439	C₂²	semidirect
128. C₂²×#1439	C₂²	semidirect
129. C₂²×#1438	C₂²	semidirect
130. C₂²×#1438	C₂²	semidirect
131. C₂²×#1438	C₂²	semidirect
132. C₂²×#1438	C₂²	semidirect
133. C₂²×#1438	C₂²	semidirect
134. C₂²×#1438	C₂²	semidirect
135. C₂²×#1438	C₂²	semidirect
136. C₂²×#1438	C₂²	semidirect
137. C₂²×#1438	C₂²	semidirect
138. C₂²×#1438	C₂²	semidirect
139. C₂²×#1437	C₂²	semidirect
140. C₂²×#1436	C₂²	semidirect
141. C₂²×C₂²⋊#95	C₂²	semidirect
142. C₂²×C₂²⋊#95	C₂²	semidirect
143. C₂²×C₂²⋊#95	C₂²	semidirect
144. C₂²×C₂²⋊#95	C₂²	semidirect
145. C₂²×C₂²⋊#95	C₂²	semidirect
146. C₂²×C₂²⋊#95	C₂²	semidirect
147. C₂²×C₂²⋊#95	C₂²	semidirect
153. C₂⁵×D₄	D₄	semidirect
154. C₂⁵×D₄	D₄	semidirect
181. C₂⁵×D₄	C₂³	semidirect
182. C₂⁵×D₄	C₂³	semidirect
183. C₂⁵×D₄	C₂³	semidirect
194. C₂⁶×C₄	C₂³	semidirect
195. C₂²×D₄²	C₂³	semidirect
196. C₂³×#127	C₂³	semidirect
197. C₂³×#121	D₄	semidirect
200. C₂³×#121	C₂³	semidirect
201. C₂³×#121	C₂³	semidirect
202. C₂³×#121	C₂³	semidirect
203. C₂³×#121	C₂³	semidirect
204. C₂³×#121	C₂³	semidirect
205. C₂³×#121	C₂³	semidirect
206. C₂³×#121	C₂³	semidirect
207. C₂³×#121	C₂³	semidirect
208. C₂³×#120	D₄	semidirect
212. C₂³×#120	C₂³	semidirect
213. C₂³×#120	C₂³	semidirect
214. C₂³×#120	C₂³	semidirect
215. C₂³×#120	C₂³	semidirect
216. C₂³×#120	C₂³	semidirect
217. C₂³×#120	C₂³	semidirect
219. C₂³×C₄×D₄	C₂³	semidirect
225. C₂⁴×C₄⋊C₄	C₂³	semidirect
263. C₂⁴×C₂²⋊C₄	C₂³	semidirect
264. C₂⁴×C₂²⋊C₄	C₂³	semidirect
265. C₂⁴×C₂²⋊C₄	C₂³	semidirect
266. C₂⁴×C₂²⋊C₄	C₂³	semidirect
268. C₂×#2410	C₂³	semidirect
269. C₂×#2410	C₂³	semidirect
270. C₂×#2403	C₂³	semidirect
271. C₂×#2403	C₂³	semidirect
272. C₂²×#394	C₂³	semidirect
273. C₂²×#394	C₂³	semidirect
274. C₂²×#394	C₂³	semidirect
275. C₂²×#392	C₂³	semidirect
276. C₂²×#392	C₂³	semidirect
277. C₂²×#392	C₂³	semidirect
278. C₂²×#392	C₂³	semidirect
279. C₂²×#392	C₂³	semidirect
280. C₂²×#392	C₂³	semidirect
281. C₂²×#392	C₂³	semidirect
282. C₂²×#392	C₂³	semidirect
283. C₂²×#386	D₄	semidirect
287. C₂²×#386	C₂³	semidirect
288. C₂²×#386	C₂³	semidirect
289. C₂²×#386	C₂³	semidirect
290. C₂²×#386	C₂³	semidirect
291. C₂²×#386	C₂³	semidirect
292. C₂²×#386	C₂³	semidirect
293. C₂²×#386	C₂³	semidirect
294. C₂²×#386	C₂³	semidirect
295. C₂²×#386	C₂³	semidirect
296. C₂²×#386	C₂³	semidirect
297. C₂²×#386	C₂³	semidirect
298. C₂²×#386	C₂³	semidirect
299. C₂²×#386	C₂³	semidirect
300. C₂²×#386	C₂³	semidirect
301. C₂²×#386	C₂³	semidirect
302. C₂²×#386	C₂³	semidirect
303. C₂²×#386	C₂³	semidirect
304. C₂²×#385	C₂³	semidirect
305. C₂²×#385	C₂³	semidirect
306. C₂²×#379	C₂³	semidirect
307. C₂²×#379	C₂³	semidirect
308. C₂²×#379	C₂³	semidirect
309. C₂²×#379	C₂³	semidirect
310. C₂²×#379	C₂³	semidirect
329. C₂³×#95	C₂³	semidirect
330. #15310	C₂³	semidirect
331. #15278	C₂³	semidirect
332. #15263	C₂³	semidirect
333. #15257	C₂³	semidirect
334. #14757	C₂³	semidirect
335. #14719	C₂³	semidirect
336. #14718	C₂³	semidirect
337. #14716	C₂³	semidirect
338. #14716	C₂³	semidirect
339. #14715	C₂³	semidirect
340. #14694	C₂³	semidirect
341. #14023	C₂³	semidirect
342. #14015	C₂³	semidirect
343. #13967	C₂³	semidirect
344. #13867	C₂³	semidirect
345. #13867	C₂³	semidirect
346. C₂×#1444	C₂³	semidirect
347. C₂×#1441	C₂³	semidirect
348. C₂×#1440	C₂³	semidirect
349. C₂×#1439	C₂³	semidirect
350. C₂×#1439	C₂³	semidirect
351. C₂×#1439	C₂³	semidirect
352. C₂×#1439	C₂³	semidirect
353. C₂×#1439	C₂³	semidirect
354. C₂×#1439	C₂³	semidirect
355. C₂×#1438	C₂³	semidirect
356. C₂×#1438	C₂³	semidirect
357. C₂×#1438	C₂³	semidirect
358. C₂×#1438	C₂³	semidirect
359. C₂×#1438	C₂³	semidirect
360. C₂×#1438	C₂³	semidirect
361. C₂×#1438	C₂³	semidirect
362. C₂×#1438	C₂³	semidirect
363. C₂×#1438	C₂³	semidirect
364. C₂×#1438	C₂³	semidirect
365. C₂×#1437	C₂³	semidirect
366. C₂×#1436	C₂³	semidirect
367. C₂×C₂²⋊#95	C₂³	semidirect
368. C₂×C₂²⋊#95	C₂³	semidirect
369. C₂×C₂²⋊#95	C₂³	semidirect
370. C₂×C₂²⋊#95	C₂³	semidirect
371. C₂×C₂²⋊#95	C₂³	semidirect
372. C₂×C₂²⋊#95	C₂³	semidirect
373. C₂×C₂²⋊#95	C₂³	semidirect
378. C₂⁷	C₂×D₄	semidirect
402. C₂⁴×D₄	C₂×D₄	semidirect
403. C₂⁴×D₄	C₂×D₄	semidirect
404. C₂⁴×D₄	C₂×D₄	semidirect
405. C₂⁴×D₄	C₂×D₄	semidirect
406. C₂⁴×D₄	C₂×D₄	semidirect
407. C₂⁴×D₄	C₂×D₄	semidirect
408. C₂⁴×D₄	C₂×D₄	semidirect
409. C₂⁴×D₄	C₂×D₄	semidirect
437. C₂⁴×D₄	C₂⁴	semidirect
438. C₂⁴×D₄	C₂⁴	semidirect
439. C₂⁴×D₄	C₂⁴	semidirect
441. C₂⁵×C₄	C₂×D₄	semidirect
442. C₂⁵×C₄	C₂×D₄	semidirect
443. C₂⁵×C₄	C₂×D₄	semidirect
468. C₂⁵×C₄	C₂⁴	semidirect
469. C₂²×#127	C₂⁴	semidirect
470. C₂²×#121	C₂×D₄	semidirect
473. C₂²×#121	C₂⁴	semidirect
474. C₂²×#121	C₂⁴	semidirect
475. C₂²×#121	C₂⁴	semidirect
476. C₂²×#121	C₂⁴	semidirect
477. C₂²×#121	C₂⁴	semidirect
478. C₂²×#121	C₂⁴	semidirect
479. C₂²×#121	C₂⁴	semidirect
480. C₂²×#120	C₂×D₄	semidirect
484. C₂²×#120	C₂⁴	semidirect
485. C₂²×#120	C₂⁴	semidirect
486. C₂²×#120	C₂⁴	semidirect
487. C₂²×#120	C₂⁴	semidirect
488. C₂²×#120	C₂⁴	semidirect
489. C₂²×#120	C₂⁴	semidirect
491. C₂²×C₄×D₄	C₂⁴	semidirect
492. C₂³×C₄⋊C₄	C₂×D₄	semidirect
498. C₂³×C₄⋊C₄	C₂⁴	semidirect
500. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
501. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
502. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
503. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
504. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
505. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
543. C₂³×C₂²⋊C₄	C₂⁴	semidirect
544. C₂³×C₂²⋊C₄	C₂⁴	semidirect
545. C₂³×C₂²⋊C₄	C₂⁴	semidirect
546. C₂³×C₂²⋊C₄	C₂⁴	semidirect
548. C₂×#394	C₂⁴	semidirect
549. C₂×#394	C₂⁴	semidirect
550. C₂×#394	C₂⁴	semidirect
551. C₂×#392	C₂⁴	semidirect
552. C₂×#392	C₂⁴	semidirect
553. C₂×#392	C₂⁴	semidirect
554. C₂×#392	C₂⁴	semidirect
555. C₂×#392	C₂⁴	semidirect
556. C₂×#392	C₂⁴	semidirect
557. C₂×#392	C₂⁴	semidirect
558. C₂×#392	C₂⁴	semidirect
559. C₂×#386	C₂×D₄	semidirect
563. C₂×#386	C₂⁴	semidirect
564. C₂×#386	C₂⁴	semidirect
565. C₂×#386	C₂⁴	semidirect
566. C₂×#386	C₂⁴	semidirect
567. C₂×#386	C₂⁴	semidirect
568. C₂×#386	C₂⁴	semidirect
569. C₂×#386	C₂⁴	semidirect
570. C₂×#386	C₂⁴	semidirect
571. C₂×#386	C₂⁴	semidirect
572. C₂×#386	C₂⁴	semidirect
573. C₂×#386	C₂⁴	semidirect
574. C₂×#386	C₂⁴	semidirect
575. C₂×#386	C₂⁴	semidirect
576. C₂×#386	C₂⁴	semidirect
577. C₂×#386	C₂⁴	semidirect
578. C₂×#386	C₂⁴	semidirect
579. C₂×#385	C₂⁴	semidirect
580. C₂×#385	C₂⁴	semidirect
581. C₂×#379	C₂⁴	semidirect
582. C₂×#379	C₂⁴	semidirect
583. C₂×#379	C₂⁴	semidirect
584. C₂×#379	C₂⁴	semidirect
585. C₂×#379	C₂⁴	semidirect
586. C₂²×#95	C₂×D₄	semidirect
605. C₂²×#95	C₂⁴	semidirect
606. #1444	C₂⁴	semidirect
607. #1441	C₂⁴	semidirect
608. #1440	C₂⁴	semidirect
609. #1439	C₂⁴	semidirect
610. #1439	C₂⁴	semidirect
611. #1439	C₂⁴	semidirect
612. #1439	C₂⁴	semidirect
613. #1439	C₂⁴	semidirect
614. #1439	C₂⁴	semidirect
615. #1438	C₂⁴	semidirect
616. #1438	C₂⁴	semidirect
617. #1438	C₂⁴	semidirect
618. #1438	C₂⁴	semidirect
619. #1438	C₂⁴	semidirect
620. #1438	C₂⁴	semidirect
621. #1438	C₂⁴	semidirect
622. #1438	C₂⁴	semidirect
623. #1438	C₂⁴	semidirect
624. #1438	C₂⁴	semidirect
625. #1437	C₂⁴	semidirect
626. #1436	C₂⁴	semidirect
627. C₂²⋊#95	C₂⁴	semidirect
628. C₂²⋊#95	C₂⁴	semidirect
629. C₂²⋊#95	C₂⁴	semidirect
630. C₂²⋊#95	C₂⁴	semidirect
631. C₂²⋊#95	C₂⁴	semidirect
632. C₂²⋊#95	C₂⁴	semidirect
633. C₂²⋊#95	C₂⁴	semidirect
634. C₂⁶	#120	semidirect
658. C₂⁶	C₂²×D₄	semidirect
679. C₂³×D₄	#120	semidirect
680. C₂³×D₄	#121	semidirect
690. C₂³×D₄	C₂²×D₄	semidirect
691. C₂³×D₄	C₂²×D₄	semidirect
692. C₂³×D₄	C₂²×D₄	semidirect
693. C₂³×D₄	C₂²×D₄	semidirect
694. C₂³×D₄	C₂²×D₄	semidirect
695. C₂³×D₄	C₂²×D₄	semidirect
696. C₂³×D₄	C₂²×D₄	semidirect
697. C₂³×D₄	C₂²×D₄	semidirect
737. C₂⁴×C₄	C₂²×D₄	semidirect
738. C₂⁴×C₄	C₂²×D₄	semidirect
739. C₂⁴×C₄	C₂²×D₄	semidirect
766. C₂×#121	C₂²×D₄	semidirect
767. C₂×#120	C₂²×D₄	semidirect
768. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
775. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
776. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
777. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
778. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
779. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
780. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
819. #386	C₂²×D₄	semidirect
820. C₂×#95	C₂²×D₄	semidirect
844. C₂⁵	C₂×#120	semidirect
846. C₂⁵	C₂×#121	semidirect
883. C₂⁵	C₂³×D₄	semidirect
905. C₂²×D₄	C₂×#120	semidirect
906. C₂²×D₄	C₂×#121	semidirect
916. C₂²×D₄	C₂³×D₄	semidirect
917. C₂²×D₄	C₂³×D₄	semidirect
918. C₂²×D₄	C₂³×D₄	semidirect
919. C₂²×D₄	C₂³×D₄	semidirect
920. C₂²×D₄	C₂³×D₄	semidirect
921. C₂²×D₄	C₂³×D₄	semidirect
924. C₂³×C₄	C₂×#121	semidirect
925. C₂³×C₄	D₄²	semidirect
941. C₂³×C₄	C₂³×D₄	semidirect
942. C₂³×C₄	C₂³×D₄	semidirect
943. C₂³×C₄	C₂³×D₄	semidirect
960. C₂×C₄⋊C₄	C₂³×D₄	semidirect
962. C₂×C₂²⋊C₄	C₂³×D₄	semidirect
963. C₂×C₂²⋊C₄	C₂³×D₄	semidirect
964. C₂×C₂²⋊C₄	C₂³×D₄	semidirect
965. C₂×C₂²⋊C₄	C₂³×D₄	semidirect
966. C₂×C₂²⋊C₄	C₂³×D₄	semidirect
967. C₂×C₂²⋊C₄	C₂³×D₄	semidirect
968. #95	C₂³×D₄	semidirect
969. C₂⁴	#2403	semidirect
970. C₂⁴	#2410	semidirect
978. C₂⁴	C₂²×#120	semidirect
981. C₂⁴	C₂²×#121	semidirect
1046. C₂×D₄	C₂²×#120	semidirect
1047. C₂×D₄	C₂²×#121	semidirect
1049. C₂²×C₄	C₂²×#121	semidirect
1050. C₂²×C₄	C₂×D₄²	semidirect
1068. C₂³	C₂×#2403	semidirect
1070. C₂³	C₂×#2410	semidirect
1089. C₂³	C₂³×#121	semidirect
1130. C₂×C₄	C₂³×#121	semidirect
1131. C₂×C₄	C₂²×D₄²	semidirect
1132. C₂²	#647714	direct (N × H)
1134. C₂²	C₂²×#2403	semidirect
1136. C₂²	C₂²×#2410	semidirect
1171. C₂	C₂×#647714	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#14015	2
C₂²×#14757	2
C₂²×#15278	2
C₂²×#14719	2
C₂⁵×#121	2
C₂²×#15310	2
C₂²×#14023	2
C₂²×#15263	2
C₂²×#14718	2
C₂⁴×#386	2
C₂²×#15257	2
C₂³×#2410	2
C₂²×#14716	2
C₂²×#13967	2
C₂²×#14694	2
C₂²×#13867	2
C₂²×#14715	2
C₂×#647714	2
C₂³×#2403	2
C₂⁴×D₄²	2

Subgroups — C22×#647714 #72289309

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#647714 #72289309