Subgroups — C₂×#72298481 #72334591

Order 2048.

At least 6088 conjugacy classes of subgroups; only the 25384 normal subgroups are shown.

The subgroup lattice has 990 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#154248	C₂	1	2	yes	maximal, complemented
2	C₂×#154088	C₂	1	2	yes	maximal, complemented
3	#72298481	C₂	1	32	yes	maximal, direct product factor
4	C₂⁴×#386	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#154077	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#153851	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂⁵×C₄×D₄	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#13967	C₂	1	4	yes	maximal, complemented
9	C₂×#154195	C₂	1	2	yes	maximal, complemented
10	C₂×#154634	C₂	1	8	yes	maximal, complemented
11	C₂²×#14694	C₂	1	2	yes	maximal, complemented
12	C₂²×#13867	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#13867	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#153827	C₂	1	4	yes	maximal, complemented
15	C₂³×#2403	C₂	1	1	yes	maximal, characteristic
16	C₂⁶×D₄	C₂²	1	1	yes	characteristic
17	C₂⁶×D₄	C₂²	1	1	yes	characteristic
18	C₂⁷×C₄	C₂²	1	1	yes	characteristic
19	C₂⁷×C₄	C₂²	1	1	yes	characteristic, complemented
20	C₂⁴×#120	C₂²	1	2	yes	—
21	C₂⁴×#120	C₂²	1	2	yes	—
22	C₂⁴×C₄×D₄	C₂²	1	4	yes	—
23	C₂⁴×C₄×D₄	C₂²	1	4	yes	complemented
24	C₂⁴×C₄×D₄	C₂²	1	16	yes	complemented
25	C₂⁵×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
26	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic
27	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic
28	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
29	C₂⁵×C₂²⋊C₄	C₂²	1	2	yes	complemented
30	C₂⁵×C₄²	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#2403	C₄	1	32	yes	complemented
32	C₂²×#2403	C₂²	1	16	yes	—
33	C₂³×#392	C₂²	1	4	yes	—
34	C₂³×#386	C₂²	1	2	yes	—
35	C₂³×#386	C₂²	1	4	yes	—
36	C₂³×#386	C₂²	1	2	yes	—
37	C₂³×#386	C₂²	1	2	yes	—
38	C₂³×#386	C₂²	1	2	yes	—
39	C₂³×#386	C₂²	1	2	yes	—
40	C₂³×#386	C₂²	1	2	yes	—
41	C₂³×#386	C₂²	1	4	yes	complemented
42	C₂³×#386	C₂²	1	8	yes	complemented
43	C₂³×#386	C₂²	1	16	yes	complemented
44	C₂³×#379	C₂²	1	1	yes	characteristic
45	C₂³×#379	C₂²	1	1	yes	characteristic
46	C₂³×#379	C₂²	1	2	yes	complemented
47	C₂³×#379	C₂²	1	2	yes	complemented
48	C₂⁴×#95	C₂²	1	2	yes	complemented
49	C₂×#14694	C₂²	1	32	yes	complemented
50	C₂×#13967	C₂²	1	64	yes	complemented
51	C₂×#13867	C₂²	1	16	yes	complemented
52	C₂×#13867	C₂²	1	16	yes	complemented
53	C₂²×#1439	C₂²	1	8	yes	complemented
54	C₂²×#1438	C₂²	1	4	yes	complemented
55	C₂²×#1438	C₂²	1	4	yes	complemented
56	C₂²×#1438	C₂²	1	8	yes	complemented
57	C₂²×#1437	C₂²	1	8	yes	complemented
58	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
59	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
60	C₂²×C₂²⋊#95	C₂²	1	8	yes	complemented
61	C₂²×C₂²⋊#95	C₂²	1	4	yes	complemented
62	C₂²×C₂²⋊#95	C₂²	1	4	yes	complemented
63	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
64	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
65	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
66	C₂²×C₂²⋊#95	C₂²	1	4	yes	complemented
67	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
68	#154634	C₂²	1	128	yes	complemented
69	#154248	C₂²	1	32	yes	complemented
70	#154195	C₂²	1	32	yes	complemented
71	#154088	C₂²	1	32	yes	complemented
72	#154077	C₂²	1	16	yes	complemented
73	#153851	C₂²	1	16	yes	complemented
74	#153827	C₂²	1	64	yes	complemented
75	C₂×#7557	C₂²	1	8	yes	complemented
76	C₂×#7555	C₂²	1	4	yes	complemented
77	C₂×#7555	C₂²	1	8	yes	complemented
78	C₂×#7554	C₂²	1	8	yes	complemented
79	C₂⁸	C₂³	1	1	yes	characteristic
80	C₂⁸	C₂³	1	1	yes	characteristic
81	C₂⁸	C₂³	1	1	yes	characteristic
82	C₂⁵×D₄	C₂×C₄	1	16	yes	—
83	C₂⁵×D₄	C₂×C₄	1	16	yes	complemented
84	C₂⁵×D₄	D₄	1	16	yes	—
85	C₂⁵×D₄	D₄	1	16	yes	—
86	C₂⁵×D₄	C₂³	1	8	yes	—
87	C₂⁵×D₄	C₂³	1	2	yes	—
88	C₂⁵×D₄	C₂³	1	2	yes	—
89	C₂⁵×D₄	C₂³	1	8	yes	—
90	C₂⁵×D₄	C₂³	1	2	yes	—
91	C₂⁵×D₄	C₂³	1	4	yes	—
92	C₂⁵×D₄	C₂³	1	2	yes	—
93	C₂⁶×C₄	D₄	1	16	yes	complemented
94	C₂⁶×C₄	C₂³	1	1	yes	characteristic
95	C₂⁶×C₄	C₂³	1	1	yes	characteristic
96	C₂⁶×C₄	C₂³	1	1	yes	characteristic
97	C₂⁶×C₄	C₂³	1	1	yes	characteristic
98	C₂⁶×C₄	C₂³	1	1	yes	characteristic
99	C₂⁶×C₄	C₂³	1	1	yes	characteristic
100	C₂⁶×C₄	C₂³	1	2	yes	—
101	C₂⁶×C₄	C₂³	1	4	yes	—
102	C₂⁶×C₄	C₂³	1	2	yes	—
103	C₂⁶×C₄	C₂³	1	8	yes	—
104	C₂⁶×C₄	C₂³	1	2	yes	—
105	C₂⁶×C₄	C₂³	1	8	yes	complemented
106	C₂³×#120	C₂×C₄	1	32	yes	complemented
107	C₂³×#120	C₂×C₄	1	32	yes	complemented
108	C₂³×#120	C₂³	1	16	yes	—
109	C₂³×#120	C₂³	1	16	yes	—
110	C₂³×C₄×D₄	D₄	1	64	yes	complemented
111	C₂³×C₄×D₄	C₂³	1	32	yes	—
112	C₂³×C₄×D₄	C₂³	1	32	yes	complemented
113	C₂⁴×C₄⋊C₄	C₂³	1	4	yes	—
114	C₂⁴×C₄⋊C₄	C₂³	1	8	yes	complemented
115	C₂⁴×C₂²⋊C₄	D₄	1	16	yes	complemented
116	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
117	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
118	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
119	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
120	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
121	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
122	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
123	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
124	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
125	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
126	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
127	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
128	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
129	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
130	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
131	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
132	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
133	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
134	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
135	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
136	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	complemented
137	C₂⁴×C₂²⋊C₄	C₂³	1	16	yes	complemented
138	C₂⁴×C₄²	C₂³	1	4	yes	—
139	C₂⁴×C₄²	C₂³	1	8	yes	complemented
140	C₂×#2403	C₂×C₄	1	256	yes	complemented
141	C₂²×#392	C₂×C₄	1	64	yes	complemented
142	C₂²×#392	C₂³	1	32	yes	—
143	C₂²×#386	C₂×C₄	1	32	yes	complemented
144	C₂²×#386	C₂×C₄	1	32	yes	complemented
145	C₂²×#386	D₄	1	32	yes	complemented
146	C₂²×#386	C₂³	1	16	yes	—
147	C₂²×#386	C₂³	1	32	yes	—
148	C₂²×#386	C₂³	1	16	yes	—
149	C₂²×#386	C₂³	1	16	yes	—
150	C₂²×#386	C₂³	1	16	yes	—
151	C₂²×#386	C₂³	1	16	yes	—
152	C₂²×#386	C₂³	1	16	yes	—
153	C₂²×#386	C₂³	1	32	yes	complemented
154	C₂²×#386	C₂³	1	64	yes	complemented
155	C₂²×#379	C₂×C₄	1	16	yes	complemented
156	C₂²×#379	C₂³	1	8	yes	—
157	C₂²×#379	C₂³	1	8	yes	—
158	C₂²×#379	C₂³	1	16	yes	complemented
159	C₂²×#379	C₂³	1	16	yes	complemented
160	C₂³×#95	C₂³	1	4	yes	—
161	C₂³×#95	C₂³	1	8	yes	—
162	C₂³×#95	C₂³	1	8	yes	—
163	C₂³×#95	C₂³	1	4	yes	—
164	C₂³×#95	C₂³	1	4	yes	—
165	C₂³×#95	C₂³	1	8	yes	—
166	C₂³×#95	C₂³	1	4	yes	—
167	C₂³×#95	C₂³	1	4	yes	—
168	C₂³×#95	C₂³	1	8	yes	—
169	C₂³×#95	C₂³	1	8	yes	—
170	C₂³×#95	C₂³	1	16	yes	complemented
171	C₂×#1439	C₂³	1	64	yes	complemented
172	C₂×#1438	C₂³	1	32	yes	complemented
173	C₂×#1438	C₂³	1	32	yes	complemented
174	C₂×#1438	C₂³	1	64	yes	complemented
175	C₂×#1437	C₂³	1	64	yes	complemented
176	C₂×C₂²⋊#95	C₂³	1	64	yes	complemented
177	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
178	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
179	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
180	C₂×C₂²⋊#95	C₂³	1	32	yes	complemented
181	C₂×C₂²⋊#95	C₂³	1	32	yes	complemented
182	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
183	C₂×C₂²⋊#95	C₂³	1	32	yes	complemented
184	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
185	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
186	#7557	C₂³	1	64	yes	complemented
187	#7555	C₂³	1	32	yes	complemented
188	#7555	C₂³	1	64	yes	complemented
189	#7554	C₂³	1	64	yes	complemented
190	C₂⁷	C₂²×C₄	1	8	yes	—
191	C₂⁷	C₂²×C₄	1	8	yes	—
192	C₂⁷	C₂²×C₄	1	8	yes	complemented
193	C₂⁷	C₂×D₄	1	8	yes	—
194	C₂⁷	C₂×D₄	1	8	yes	—
195	C₂⁷	C₂×D₄	1	8	yes	—
196	C₂⁷	C₂×D₄	1	8	yes	—
197	C₂⁷	C₂×D₄	1	8	yes	—
198	C₂⁷	C₂×D₄	1	8	yes	—
199	C₂⁷	#41	1	8	yes	—
200	C₂⁷	#41	1	8	yes	—
201	C₂⁷	C₂⁴	1	2	yes	—
202	C₂⁷	C₂⁴	1	1	yes	characteristic
203	C₂⁷	C₂⁴	1	2	yes	—
204	C₂⁷	C₂⁴	1	4	yes	—
205	C₂⁷	C₂⁴	1	4	yes	—
206	C₂⁷	C₂⁴	1	4	yes	—
207	C₂⁷	C₂⁴	1	1	yes	characteristic
208	C₂⁷	C₂⁴	1	1	yes	characteristic
209	C₂⁴×D₄	C₂²⋊C₄	1	256	yes	complemented
210	C₂⁴×D₄	C₂²×C₄	1	64	yes	—
211	C₂⁴×D₄	C₂²×C₄	1	16	yes	—
212	C₂⁴×D₄	C₂²×C₄	1	16	yes	—
213	C₂⁴×D₄	C₂²×C₄	1	16	yes	—
214	C₂⁴×D₄	C₂²×C₄	1	16	yes	complemented
215	C₂⁴×D₄	C₂²×C₄	1	32	yes	complemented
216	C₂⁴×D₄	C₂²×C₄	1	64	yes	complemented
217	C₂⁴×D₄	C₂×D₄	1	16	yes	—
218	C₂⁴×D₄	C₂×D₄	1	64	yes	—
219	C₂⁴×D₄	C₂×D₄	1	64	yes	—
220	C₂⁴×D₄	C₂×D₄	1	16	yes	—
221	C₂⁴×D₄	C₂×D₄	1	16	yes	—
222	C₂⁴×D₄	C₂×D₄	1	16	yes	—
223	C₂⁴×D₄	C₂×D₄	1	16	yes	—
224	C₂⁴×D₄	C₂×D₄	1	32	yes	—
225	C₂⁴×D₄	#41	1	16	yes	—
226	C₂⁴×D₄	#41	1	32	yes	—
227	C₂⁴×D₄	C₂⁴	1	8	yes	—
228	C₂⁴×D₄	C₂⁴	1	8	yes	—
229	C₂⁴×D₄	C₂⁴	1	8	yes	—
230	C₂⁴×D₄	C₂⁴	1	16	yes	—
231	C₂⁴×D₄	C₂⁴	1	8	yes	—
232	C₂⁵×C₄	C₂²×C₄	1	8	yes	—
233	C₂⁵×C₄	C₂²×C₄	1	8	yes	complemented
234	C₂⁵×C₄	C₂×D₄	1	8	yes	—
235	C₂⁵×C₄	C₂×D₄	1	8	yes	—
236	C₂⁵×C₄	C₂×D₄	1	16	yes	—
237	C₂⁵×C₄	C₂×D₄	1	8	yes	—
238	C₂⁵×C₄	C₂×D₄	1	8	yes	—
239	C₂⁵×C₄	C₂×D₄	1	8	yes	—
240	C₂⁵×C₄	C₂×D₄	1	16	yes	—
241	C₂⁵×C₄	C₂×D₄	1	8	yes	—
242	C₂⁵×C₄	C₂×D₄	1	32	yes	—
243	C₂⁵×C₄	C₂×D₄	1	16	yes	—
244	C₂⁵×C₄	C₂×D₄	1	32	yes	complemented
245	C₂⁵×C₄	C₂×D₄	1	64	yes	complemented
246	C₂⁵×C₄	C₂⁴	1	4	yes	—
247	C₂⁵×C₄	C₂⁴	1	4	yes	—
248	C₂⁵×C₄	C₂⁴	1	4	yes	—
249	C₂⁵×C₄	C₂⁴	1	4	yes	—
250	C₂⁵×C₄	C₂⁴	1	2	yes	—
251	C₂⁵×C₄	C₂⁴	1	4	yes	—
252	C₂⁵×C₄	C₂⁴	1	2	yes	—
253	C₂⁵×C₄	C₂⁴	1	2	yes	—
254	C₂⁵×C₄	C₂⁴	1	2	yes	—
255	C₂⁵×C₄	C₂⁴	1	4	yes	—
256	C₂⁵×C₄	C₂⁴	1	4	yes	—
257	C₂⁵×C₄	C₂⁴	1	8	yes	—
258	C₂⁵×C₄	C₂⁴	1	4	yes	—
259	C₂⁵×C₄	C₂⁴	1	4	yes	—
260	C₂⁵×C₄	C₂⁴	1	16	yes	—
261	C₂⁵×C₄	C₂⁴	1	8	yes	—
262	C₂⁵×C₄	C₂⁴	1	8	yes	—
263	C₂⁵×C₄	C₂⁴	1	2	yes	—
264	C₂⁵×C₄	C₂⁴	1	2	yes	—
265	C₂²×#120	C₂²×C₄	1	128	yes	complemented
266	C₂²×#120	C₂²×C₄	1	128	yes	complemented
267	C₂²×C₄×D₄	C₂×D₄	1	256	yes	complemented
268	C₂³×C₄⋊C₄	C₂×D₄	1	32	yes	complemented
269	C₂³×C₄⋊C₄	C₂⁴	1	16	yes	—
270	C₂³×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
271	C₂³×C₂²⋊C₄	C₂²×C₄	1	16	yes	complemented
272	C₂³×C₂²⋊C₄	C₂²×C₄	1	32	yes	complemented
273	C₂³×C₂²⋊C₄	C₂²×C₄	1	32	yes	complemented
274	C₂³×C₂²⋊C₄	C₂²×C₄	1	16	yes	complemented
275	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
276	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
277	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	—
278	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
279	C₂³×C₂²⋊C₄	C₂×D₄	1	64	yes	complemented
280	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	complemented
281	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	complemented
282	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
283	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
284	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
285	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
286	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
287	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
288	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
289	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
290	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
291	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
292	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
293	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
294	C₂³×C₂²⋊C₄	C₂⁴	1	32	yes	—
295	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
296	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
297	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
298	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
299	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
300	C₂³×C₄²	C₂×D₄	1	32	yes	complemented
301	C₂³×C₄²	C₂⁴	1	16	yes	—
302	C₂×#392	C₂²×C₄	1	256	yes	complemented
303	C₂×#386	C₂²×C₄	1	128	yes	complemented
304	C₂×#386	C₂²×C₄	1	128	yes	complemented
305	C₂×#386	C₂×D₄	1	128	yes	complemented
306	C₂×#379	C₂²×C₄	1	64	yes	complemented
307	C₂²×#95	C₂²×C₄	1	32	yes	complemented
308	C₂²×#95	C₂×D₄	1	32	yes	complemented
309	C₂²×#95	C₂⁴	1	32	yes	—
310	C₂²×#95	C₂⁴	1	32	yes	—
311	C₂²×#95	C₂⁴	1	16	yes	—
312	C₂²×#95	C₂⁴	1	16	yes	—
313	C₂²×#95	C₂⁴	1	16	yes	—
314	C₂²×#95	C₂⁴	1	32	yes	—
315	C₂²×#95	C₂⁴	1	16	yes	—
316	C₂²×#95	C₂⁴	1	16	yes	—
317	C₂²×#95	C₂⁴	1	32	yes	—
318	C₂²×#95	C₂⁴	1	32	yes	—
319	C₂⁶	C₂×C₂²⋊C₄	1	64	yes	—
320	C₂⁶	C₂×C₂²⋊C₄	1	64	yes	complemented
321	C₂⁶	C₄×D₄	1	64	yes	—
322	C₂⁶	C₄×D₄	1	64	yes	—
323	C₂⁶	#120	1	64	yes	—
324	C₂⁶	#121	1	64	yes	—
325	C₂⁶	#121	1	64	yes	—
326	C₂⁶	#123	1	64	yes	—
327	C₂⁶	C₂³×C₄	1	8	yes	—
328	C₂⁶	C₂³×C₄	1	8	yes	—
329	C₂⁶	C₂³×C₄	1	4	yes	—
330	C₂⁶	C₂³×C₄	1	16	yes	—
331	C₂⁶	C₂³×C₄	1	16	yes	—
332	C₂⁶	C₂³×C₄	1	4	yes	—
333	C₂⁶	C₂³×C₄	1	4	yes	—
334	C₂⁶	C₂³×C₄	1	16	yes	complemented
335	C₂⁶	C₂²×D₄	1	8	yes	—
336	C₂⁶	C₂²×D₄	1	8	yes	—
337	C₂⁶	C₂²×D₄	1	4	yes	—
338	C₂⁶	C₂²×D₄	1	8	yes	—
339	C₂⁶	C₂²×D₄	1	4	yes	—
340	C₂⁶	C₂²×D₄	1	4	yes	—
341	C₂⁶	C₂²×D₄	1	16	yes	—
342	C₂⁶	C₂²×D₄	1	4	yes	—
343	C₂⁶	C₂²×D₄	1	16	yes	—
344	C₂⁶	C₂²×D₄	1	16	yes	—
345	C₂⁶	C₂²×D₄	1	16	yes	—
346	C₂⁶	C₂²×D₄	1	16	yes	—
347	C₂⁶	C₂²×D₄	1	16	yes	—
348	C₂⁶	C₂²×D₄	1	16	yes	—
349	C₂⁶	C₂²×D₄	1	4	yes	—
350	C₂⁶	C₂²×D₄	1	4	yes	—
351	C₂⁶	C₂²×D₄	1	4	yes	—
352	C₂⁶	C₂²×D₄	1	4	yes	—
353	C₂⁶	C₂²×D₄	1	4	yes	—
354	C₂⁶	C₂²×D₄	1	4	yes	—
355	C₂⁶	C₂²×D₄	1	16	yes	—
356	C₂⁶	C₂²×D₄	1	4	yes	—
357	C₂⁶	C₂²×D₄	1	4	yes	—
358	C₂⁶	C₂²×D₄	1	8	yes	—
359	C₂⁶	C₂×#41	1	8	yes	—
360	C₂⁶	C₂×#41	1	4	yes	—
361	C₂⁶	C₂×#41	1	4	yes	—
362	C₂⁶	C₂×#41	1	16	yes	—
363	C₂⁶	C₂×#41	1	16	yes	—
364	C₂⁶	C₂×#41	1	16	yes	—
365	C₂⁶	C₂×#41	1	4	yes	—
366	C₂⁶	C₂×#41	1	4	yes	—
367	C₂⁶	C₂×#41	1	16	yes	—
368	C₂⁶	C₂×#41	1	4	yes	—
369	C₂⁶	C₂×#41	1	4	yes	—
370	C₂⁶	C₂×#41	1	8	yes	—
371	C₂⁶	H(5,𝔽₂)	1	8	yes	—
372	C₂⁶	H(5,𝔽₂)	1	8	yes	—
373	C₂⁶	C₂⁵	1	4	yes	—
374	C₂⁶	C₂⁵	1	4	yes	—
375	C₂⁶	C₂⁵	1	2	yes	—
376	C₂⁶	C₂⁵	1	2	yes	—
377	C₂⁶	C₂⁵	1	2	yes	—
378	C₂⁶	C₂⁵	1	1	yes	characteristic
379	C₂³×D₄	C₂×C₂²⋊C₄	1	128	yes	—
380	C₂³×D₄	C₂×C₂²⋊C₄	1	128	yes	complemented
381	C₂³×D₄	C₂×C₂²⋊C₄	1	512	yes	complemented
382	C₂³×D₄	C₄×D₄	1	256	yes	—
383	C₂³×D₄	C₄×D₄	1	128	yes	complemented
384	C₂³×D₄	#120	1	128	yes	—
385	C₂³×D₄	#121	1	256	yes	—
386	C₂³×D₄	#123	1	128	yes	—
387	C₂³×D₄	C₂³×C₄	1	32	yes	—
388	C₂³×D₄	C₂³×C₄	1	32	yes	—
389	C₂³×D₄	C₂³×C₄	1	32	yes	—
390	C₂³×D₄	C₂³×C₄	1	32	yes	complemented
391	C₂³×D₄	C₂³×C₄	1	64	yes	complemented
392	C₂³×D₄	C₂²×D₄	1	32	yes	—
393	C₂³×D₄	C₂²×D₄	1	32	yes	—
394	C₂³×D₄	C₂²×D₄	1	32	yes	—
395	C₂³×D₄	C₂²×D₄	1	32	yes	—
396	C₂³×D₄	C₂²×D₄	1	32	yes	—
397	C₂³×D₄	C₂²×D₄	1	64	yes	—
398	C₂³×D₄	C₂×#41	1	32	yes	—
399	C₂³×D₄	C₂×#41	1	64	yes	—
400	C₂⁴×C₄	C₂×C₂²⋊C₄	1	64	yes	complemented
401	C₂⁴×C₄	#120	1	64	yes	complemented
402	C₂⁴×C₄	#120	1	128	yes	complemented
403	C₂⁴×C₄	C₂³×C₄	1	16	yes	—
404	C₂⁴×C₄	C₂³×C₄	1	16	yes	—
405	C₂⁴×C₄	C₂³×C₄	1	8	yes	—
406	C₂⁴×C₄	C₂³×C₄	1	8	yes	—
407	C₂⁴×C₄	C₂³×C₄	1	16	yes	complemented
408	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
409	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
410	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
411	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
412	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
413	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
414	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
415	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
416	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
417	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
418	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
419	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
420	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
421	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
422	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
423	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
424	C₂⁴×C₄	C₂²×D₄	1	64	yes	—
425	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
426	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
427	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
428	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
429	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
430	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
431	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
432	C₂⁴×C₄	C₂²×D₄	1	64	yes	complemented
433	C₂⁴×C₄	C₂×#41	1	8	yes	—
434	C₂⁴×C₄	C₂×#41	1	16	yes	—
435	C₂⁴×C₄	H(5,𝔽₂)	1	16	yes	—
436	C₂⁴×C₄	C₂⁵	1	8	yes	—
437	C₂⁴×C₄	C₂⁵	1	8	yes	—
438	C₂⁴×C₄	C₂⁵	1	8	yes	—
439	C₂⁴×C₄	C₂⁵	1	4	yes	—
440	C₂⁴×C₄	C₂⁵	1	4	yes	—
441	C₂⁴×C₄	C₂⁵	1	4	yes	—
442	C₂⁴×C₄	C₂⁵	1	4	yes	—
443	C₂⁴×C₄	C₂⁵	1	4	yes	—
444	C₂⁴×C₄	C₂⁵	1	4	yes	—
445	C₂²×C₄⋊C₄	C₂²×D₄	1	64	yes	complemented
446	C₂²×C₂²⋊C₄	#120	1	128	yes	complemented
447	C₂²×C₂²⋊C₄	C₂³×C₄	1	32	yes	—
448	C₂²×C₂²⋊C₄	C₂³×C₄	1	64	yes	complemented
449	C₂²×C₂²⋊C₄	C₂³×C₄	1	32	yes	complemented
450	C₂²×C₂²⋊C₄	C₂³×C₄	1	64	yes	complemented
451	C₂²×C₂²⋊C₄	C₂³×C₄	1	32	yes	complemented
452	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
453	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
454	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	—
455	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
456	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	complemented
457	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	complemented
458	C₂²×C₄²	C₂²×D₄	1	64	yes	complemented
459	C₂×#95	C₂³×C₄	1	64	yes	complemented
460	C₂×#95	C₂²×D₄	1	64	yes	complemented
461	C₂⁵	#386	1	512	yes	complemented
462	C₂⁵	C₂²×C₂²⋊C₄	1	16	yes	—
463	C₂⁵	C₂²×C₂²⋊C₄	1	32	yes	—
464	C₂⁵	C₂²×C₂²⋊C₄	1	64	yes	—
465	C₂⁵	C₂²×C₂²⋊C₄	1	16	yes	—
466	C₂⁵	C₂²×C₂²⋊C₄	1	16	yes	—
467	C₂⁵	C₂²×C₂²⋊C₄	1	64	yes	complemented
468	C₂⁵	C₂×C₄×D₄	1	16	yes	—
469	C₂⁵	C₂×C₄×D₄	1	16	yes	—
470	C₂⁵	C₂×C₄×D₄	1	64	yes	—
471	C₂⁵	C₂×C₄×D₄	1	64	yes	—
472	C₂⁵	C₂×C₄×D₄	1	64	yes	—
473	C₂⁵	C₂×C₄×D₄	1	16	yes	—
474	C₂⁵	C₂×C₄×D₄	1	32	yes	—
475	C₂⁵	C₂×C₄×D₄	1	16	yes	—
476	C₂⁵	C₂×C₄×D₄	1	64	yes	—
477	C₂⁵	C₂×C₄×D₄	1	16	yes	—
478	C₂⁵	C₂×C₄×D₄	1	16	yes	—
479	C₂⁵	C₂×C₄×D₄	1	32	yes	complemented
480	C₂⁵	#518	1	32	yes	—
481	C₂⁵	C₂×#120	1	16	yes	—
482	C₂⁵	C₂×#120	1	32	yes	—
483	C₂⁵	C₂×#120	1	64	yes	—
484	C₂⁵	C₂×#120	1	32	yes	—
485	C₂⁵	C₂×#120	1	32	yes	—
486	C₂⁵	C₂×#120	1	32	yes	—
487	C₂⁵	C₂×#120	1	16	yes	—
488	C₂⁵	C₂×#120	1	16	yes	—
489	C₂⁵	C₂×#120	1	16	yes	—
490	C₂⁵	C₂×#121	1	16	yes	—
491	C₂⁵	C₂×#121	1	16	yes	—
492	C₂⁵	C₂×#121	1	64	yes	—
493	C₂⁵	C₂×#121	1	64	yes	—
494	C₂⁵	C₂×#121	1	64	yes	—
495	C₂⁵	C₂×#121	1	16	yes	—
496	C₂⁵	C₂×#121	1	64	yes	—
497	C₂⁵	C₂×#121	1	16	yes	—
498	C₂⁵	C₂×#121	1	16	yes	—
499	C₂⁵	C₂×#121	1	16	yes	—
500	C₂⁵	C₂×#123	1	16	yes	—
501	C₂⁵	C₂×#123	1	32	yes	—
502	C₂⁵	C₂×#123	1	64	yes	—
503	C₂⁵	C₂×#123	1	32	yes	—
504	C₂⁵	C₂×#123	1	16	yes	—
505	C₂⁵	C₂×#123	1	16	yes	—
506	C₂⁵	#525	1	32	yes	—
507	C₂⁵	#525	1	64	yes	—
508	C₂⁵	#525	1	64	yes	—
509	C₂⁵	#525	1	32	yes	—
510	C₂⁵	#525	1	16	yes	—
511	C₂⁵	#525	1	32	yes	—
512	C₂⁵	#534	1	16	yes	—
513	C₂⁵	#535	1	16	yes	—
514	C₂⁵	#538	1	32	yes	—
515	C₂⁵	D₄²	1	32	yes	—
516	C₂⁵	D₄²	1	32	yes	—
517	C₂⁵	D₄²	1	32	yes	—
518	C₂⁵	#546	1	32	yes	—
519	C₂⁵	#546	1	32	yes	—
520	C₂⁵	#546	1	32	yes	—
521	C₂⁵	#546	1	32	yes	—
522	C₂⁵	#551	1	32	yes	—
523	C₂⁵	C₂⁴×C₄	1	8	yes	—
524	C₂⁵	C₂⁴×C₄	1	8	yes	—
525	C₂⁵	C₂⁴×C₄	1	4	yes	—
526	C₂⁵	C₂⁴×C₄	1	4	yes	—
527	C₂⁵	C₂⁴×C₄	1	4	yes	—
528	C₂⁵	C₂⁴×C₄	1	2	yes	—
529	C₂⁵	C₂³×D₄	1	8	yes	—
530	C₂⁵	C₂³×D₄	1	4	yes	—
531	C₂⁵	C₂³×D₄	1	8	yes	—
532	C₂⁵	C₂³×D₄	1	4	yes	—
533	C₂⁵	C₂³×D₄	1	8	yes	—
534	C₂⁵	C₂³×D₄	1	4	yes	—
535	C₂⁵	C₂³×D₄	1	16	yes	—
536	C₂⁵	C₂³×D₄	1	4	yes	—
537	C₂⁵	C₂³×D₄	1	4	yes	—
538	C₂⁵	C₂³×D₄	1	4	yes	—
539	C₂⁵	C₂³×D₄	1	4	yes	—
540	C₂⁵	C₂³×D₄	1	4	yes	—
541	C₂⁵	C₂³×D₄	1	16	yes	—
542	C₂⁵	C₂³×D₄	1	4	yes	—
543	C₂⁵	C₂³×D₄	1	4	yes	—
544	C₂⁵	C₂³×D₄	1	4	yes	—
545	C₂⁵	C₂³×D₄	1	4	yes	—
546	C₂⁵	C₂³×D₄	1	8	yes	—
547	C₂⁵	C₂³×D₄	1	2	yes	—
548	C₂⁵	C₂³×D₄	1	2	yes	—
549	C₂⁵	C₂³×D₄	1	2	yes	—
550	C₂⁵	C₂³×D₄	1	2	yes	—
551	C₂⁵	C₂³×D₄	1	8	yes	—
552	C₂⁵	C₂³×D₄	1	4	yes	—
553	C₂⁵	C₂²×#41	1	8	yes	—
554	C₂⁵	C₂²×#41	1	4	yes	—
555	C₂⁵	C₂²×#41	1	4	yes	—
556	C₂⁵	C₂²×#41	1	16	yes	—
557	C₂⁵	C₂²×#41	1	4	yes	—
558	C₂⁵	C₂²×#41	1	16	yes	—
559	C₂⁵	C₂²×#41	1	4	yes	—
560	C₂⁵	C₂²×#41	1	4	yes	—
561	C₂⁵	C₂²×#41	1	4	yes	—
562	C₂⁵	C₂²×#41	1	8	yes	—
563	C₂⁵	C₂²×#41	1	2	yes	—
564	C₂⁵	C₂²×#41	1	2	yes	—
565	C₂⁵	C₂²×#41	1	8	yes	—
566	C₂⁵	C₂²×#41	1	4	yes	—
567	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
568	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
569	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
570	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
571	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
572	C₂⁵	#585	1	8	yes	—
573	C₂⁵	C₂⁶	1	1	yes	characteristic
574	C₂²×D₄	#386	1	1024	yes	complemented
575	C₂²×D₄	C₂²×C₂²⋊C₄	1	128	yes	—
576	C₂²×D₄	C₂²×C₂²⋊C₄	1	128	yes	complemented
577	C₂²×D₄	C₂×C₄×D₄	1	256	yes	—
578	C₂²×D₄	C₂×C₄×D₄	1	128	yes	complemented
579	C₂²×D₄	C₂×#120	1	128	yes	—
580	C₂²×D₄	C₂×#121	1	256	yes	—
581	C₂²×D₄	C₂×#123	1	128	yes	—
582	C₂³×C₄	C₂²×C₂²⋊C₄	1	32	yes	—
583	C₂³×C₄	C₂²×C₂²⋊C₄	1	64	yes	complemented
584	C₂³×C₄	C₂×C₄×D₄	1	64	yes	—
585	C₂³×C₄	C₂×C₄×D₄	1	32	yes	complemented
586	C₂³×C₄	C₂×#120	1	32	yes	—
587	C₂³×C₄	C₂×#120	1	32	yes	—
588	C₂³×C₄	C₂×#120	1	32	yes	—
589	C₂³×C₄	C₂×#120	1	32	yes	—
590	C₂³×C₄	C₂×#120	1	32	yes	—
591	C₂³×C₄	C₂×#120	1	32	yes	—
592	C₂³×C₄	C₂×#120	1	64	yes	complemented
593	C₂³×C₄	C₂×#120	1	128	yes	complemented
594	C₂³×C₄	C₂×#121	1	64	yes	—
595	C₂³×C₄	C₂×#123	1	32	yes	—
596	C₂³×C₄	#534	1	32	yes	—
597	C₂³×C₄	D₄²	1	128	yes	—
598	C₂³×C₄	C₂⁴×C₄	1	16	yes	—
599	C₂³×C₄	C₂⁴×C₄	1	8	yes	—
600	C₂³×C₄	C₂⁴×C₄	1	8	yes	—
601	C₂³×C₄	C₂³×D₄	1	16	yes	—
602	C₂³×C₄	C₂³×D₄	1	8	yes	—
603	C₂³×C₄	C₂³×D₄	1	8	yes	—
604	C₂³×C₄	C₂³×D₄	1	16	yes	—
605	C₂³×C₄	C₂³×D₄	1	8	yes	—
606	C₂³×C₄	C₂³×D₄	1	16	yes	—
607	C₂³×C₄	C₂³×D₄	1	16	yes	—
608	C₂³×C₄	C₂³×D₄	1	8	yes	—
609	C₂³×C₄	C₂³×D₄	1	8	yes	—
610	C₂³×C₄	C₂³×D₄	1	8	yes	—
611	C₂³×C₄	C₂³×D₄	1	16	yes	—
612	C₂³×C₄	C₂³×D₄	1	8	yes	—
613	C₂³×C₄	C₂³×D₄	1	16	yes	—
614	C₂³×C₄	C₂³×D₄	1	16	yes	—
615	C₂³×C₄	C₂²×#41	1	8	yes	—
616	C₂³×C₄	C₂²×#41	1	16	yes	—
617	C₂³×C₄	C₂×H(5,𝔽₂)	1	16	yes	—
618	C₂×C₂²⋊C₄	C₂×#120	1	128	yes	complemented
619	C₂⁴	C₂×#386	1	64	yes	—
620	C₂⁴	C₂×#386	1	128	yes	—
621	C₂⁴	C₂×#386	1	64	yes	—
622	C₂⁴	C₂×#386	1	64	yes	—
623	C₂⁴	C₂×#386	1	128	yes	complemented
624	C₂⁴	C₂×#386	1	256	yes	complemented
625	C₂⁴	C₄×#120	1	128	yes	—
626	C₂⁴	C₄×#120	1	128	yes	—
627	C₂⁴	C₄×#120	1	64	yes	—
628	C₂⁴	#2321	1	64	yes	—
629	C₂⁴	D₄×C₂²⋊C₄	1	128	yes	—
630	C₂⁴	#2358	1	128	yes	—
631	C₂⁴	#2403	1	64	yes	—
632	C₂⁴	#2404	1	64	yes	—
633	C₂⁴	#2408	1	64	yes	—
634	C₂⁴	#2418	1	128	yes	—
635	C₂⁴	#2424	1	128	yes	—
636	C₂⁴	#2534	1	64	yes	—
637	C₂⁴	#2846	1	64	yes	—
638	C₂⁴	#2847	1	128	yes	—
639	C₂⁴	#2847	1	128	yes	—
640	C₂⁴	#2849	1	64	yes	—
641	C₂⁴	#2849	1	128	yes	—
642	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
643	C₂⁴	C₂³×C₂²⋊C₄	1	16	yes	—
644	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
645	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
646	C₂⁴	C₂³×C₂²⋊C₄	1	4	yes	—
647	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
648	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
649	C₂⁴	C₂²×C₄×D₄	1	32	yes	—
650	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
651	C₂⁴	C₂²×C₄×D₄	1	16	yes	—
652	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
653	C₂⁴	C₂²×C₄×D₄	1	32	yes	—
654	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
655	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
656	C₂⁴	C₂²×C₄×D₄	1	4	yes	—
657	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
658	C₂⁴	C₂²×C₄×D₄	1	4	yes	—
659	C₂⁴	C₂²×C₄×D₄	1	16	yes	—
660	C₂⁴	C₂²×C₄×D₄	1	16	yes	complemented
661	C₂⁴	C₂×#518	1	16	yes	—
662	C₂⁴	C₂×#518	1	8	yes	—
663	C₂⁴	C₄×H(5,𝔽₂)	1	16	yes	—
664	C₂⁴	C₂²×#120	1	8	yes	—
665	C₂⁴	C₂²×#120	1	16	yes	—
666	C₂⁴	C₂²×#120	1	16	yes	—
667	C₂⁴	C₂²×#120	1	16	yes	—
668	C₂⁴	C₂²×#120	1	16	yes	—
669	C₂⁴	C₂²×#120	1	8	yes	—
670	C₂⁴	C₂²×#120	1	8	yes	—
671	C₂⁴	C₂²×#120	1	8	yes	—
672	C₂⁴	C₂²×#120	1	8	yes	—
673	C₂⁴	C₂²×#120	1	8	yes	—
674	C₂⁴	C₂²×#120	1	4	yes	—
675	C₂⁴	C₂²×#120	1	8	yes	—
676	C₂⁴	C₂²×#120	1	4	yes	—
677	C₂⁴	C₂²×#121	1	8	yes	—
678	C₂⁴	C₂²×#121	1	8	yes	—
679	C₂⁴	C₂²×#121	1	32	yes	—
680	C₂⁴	C₂²×#121	1	8	yes	—
681	C₂⁴	C₂²×#121	1	8	yes	—
682	C₂⁴	C₂²×#121	1	32	yes	—
683	C₂⁴	C₂²×#121	1	8	yes	—
684	C₂⁴	C₂²×#121	1	8	yes	—
685	C₂⁴	C₂²×#121	1	4	yes	—
686	C₂⁴	C₂²×#121	1	4	yes	—
687	C₂⁴	C₂²×#121	1	16	yes	—
688	C₂⁴	C₂²×#123	1	8	yes	—
689	C₂⁴	C₂²×#123	1	16	yes	—
690	C₂⁴	C₂²×#123	1	16	yes	—
691	C₂⁴	C₂²×#123	1	8	yes	—
692	C₂⁴	C₂²×#123	1	8	yes	—
693	C₂⁴	C₂²×#123	1	4	yes	—
694	C₂⁴	C₂²×#123	1	8	yes	—
695	C₂⁴	C₂×#525	1	8	yes	—
696	C₂⁴	C₂×#525	1	32	yes	—
697	C₂⁴	C₂×#525	1	16	yes	—
698	C₂⁴	C₂×#525	1	32	yes	—
699	C₂⁴	C₂×#525	1	16	yes	—
700	C₂⁴	C₂×#525	1	16	yes	—
701	C₂⁴	C₂×#525	1	16	yes	—
702	C₂⁴	C₂×#525	1	4	yes	—
703	C₂⁴	C₂×#525	1	8	yes	—
704	C₂⁴	C₂×#525	1	8	yes	—
705	C₂⁴	C₂×#525	1	16	yes	—
706	C₂⁴	C₂×#525	1	8	yes	—
707	C₂⁴	C₂×#534	1	8	yes	—
708	C₂⁴	C₂×#534	1	4	yes	—
709	C₂⁴	C₂×#534	1	8	yes	—
710	C₂⁴	C₂×#535	1	8	yes	—
711	C₂⁴	C₂×#535	1	4	yes	—
712	C₂⁴	#3449	1	8	yes	—
713	C₂⁴	C₂×#538	1	16	yes	—
714	C₂⁴	C₂×#538	1	8	yes	—
715	C₂⁴	#3459	1	16	yes	—
716	C₂⁴	C₂×D₄²	1	16	yes	—
717	C₂⁴	C₂×D₄²	1	16	yes	—
718	C₂⁴	C₂×D₄²	1	16	yes	—
719	C₂⁴	C₂×D₄²	1	32	yes	—
720	C₂⁴	C₂×D₄²	1	8	yes	—
721	C₂⁴	C₂×D₄²	1	8	yes	—
722	C₂⁴	C₂×D₄²	1	8	yes	—
723	C₂⁴	C₂×#546	1	16	yes	—
724	C₂⁴	C₂×#546	1	16	yes	—
725	C₂⁴	C₂×#546	1	16	yes	—
726	C₂⁴	C₂×#546	1	16	yes	—
727	C₂⁴	C₂×#546	1	8	yes	—
728	C₂⁴	C₂×#546	1	8	yes	—
729	C₂⁴	C₂×#546	1	8	yes	—
730	C₂⁴	C₂×#546	1	8	yes	—
731	C₂⁴	D₄×#41	1	32	yes	—
732	C₂⁴	D₄×#41	1	32	yes	—
733	C₂⁴	C₂×#551	1	16	yes	—
734	C₂⁴	C₂×#551	1	8	yes	—
735	C₂⁴	#3481	1	32	yes	—
736	C₂⁴	#3484	1	32	yes	—
737	C₂⁴	#3484	1	8	yes	—
738	C₂⁴	#3484	1	8	yes	—
739	C₂⁴	#3485	1	8	yes	—
740	C₂⁴	#3485	1	8	yes	—
741	C₂⁴	#3488	1	32	yes	—
742	C₂⁴	#3496	1	16	yes	—
743	C₂⁴	#3505	1	16	yes	—
744	C₂⁴	#3513	1	32	yes	—
745	C₂⁴	#3519	1	32	yes	—
746	C₂⁴	C₂⁵×C₄	1	1	yes	characteristic
747	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
748	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
749	C₂⁴	C₂⁴×D₄	1	4	yes	—
750	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
751	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
752	C₂⁴	C₂⁴×D₄	1	2	yes	—
753	C₂⁴	C₂³×#41	1	1	yes	characteristic
754	C₂⁴	C₂³×#41	1	4	yes	—
755	C₂⁴	C₂³×#41	1	1	yes	characteristic
756	C₂⁴	C₂³×#41	1	2	yes	—
757	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
758	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
759	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
760	C₂⁴	C₂×#585	1	4	yes	—
761	C₂×D₄	C₂×#386	1	512	yes	complemented
762	C₂²×C₄	C₂×#386	1	128	yes	complemented
763	C₂²×C₄	#2403	1	128	yes	complemented
764	C₂²×C₄	C₂³×C₂²⋊C₄	1	16	yes	—
765	C₂²×C₄	C₂²×C₄×D₄	1	32	yes	—
766	C₂²×C₄	C₂²×C₄×D₄	1	16	yes	complemented
767	C₂²×C₄	C₂²×#120	1	16	yes	—
768	C₂²×C₄	C₂²×#120	1	16	yes	—
769	C₂²×C₄	C₂²×#120	1	16	yes	—
770	C₂²×C₄	C₂²×#120	1	16	yes	—
771	C₂²×C₄	C₂²×#120	1	16	yes	—
772	C₂²×C₄	C₂²×#120	1	16	yes	—
773	C₂²×C₄	C₂²×#121	1	32	yes	—
774	C₂²×C₄	C₂²×#123	1	16	yes	—
775	C₂²×C₄	C₂×#534	1	16	yes	—
776	C₂²×C₄	C₂×D₄²	1	64	yes	—
777	C₂³	#13967	1	256	yes	complemented
778	C₂³	#14694	1	256	yes	complemented
779	C₂³	C₂²×#386	1	16	yes	—
780	C₂³	C₂²×#386	1	32	yes	—
781	C₂³	C₂²×#386	1	16	yes	—
782	C₂³	C₂²×#386	1	16	yes	—
783	C₂³	C₂²×#386	1	16	yes	—
784	C₂³	C₂²×#386	1	8	yes	—
785	C₂³	C₂²×#386	1	32	yes	complemented
786	C₂³	C₂×C₄×#120	1	32	yes	—
787	C₂³	C₂×C₄×#120	1	32	yes	—
788	C₂³	C₂×C₄×#120	1	16	yes	—
789	C₂³	C₂×C₄×#120	1	16	yes	—
790	C₂³	C₂×C₄×#120	1	16	yes	—
791	C₂³	C₂×C₄×#120	1	8	yes	—
792	C₂³	C₂×#2321	1	16	yes	—
793	C₂³	C₂×#2321	1	8	yes	—
794	C₂³	C₄×#534	1	16	yes	—
795	C₂³	C₂×D₄×C₂²⋊C₄	1	32	yes	—
796	C₂³	C₂×D₄×C₂²⋊C₄	1	16	yes	—
797	C₂³	C₂×#2358	1	32	yes	—
798	C₂³	C₂×#2358	1	16	yes	—
799	C₂³	C₄×D₄²	1	64	yes	—
800	C₂³	#34256	1	16	yes	—
801	C₂³	#34264	1	16	yes	—
802	C₂³	#34290	1	64	yes	—
803	C₂³	C₂×#2403	1	16	yes	—
804	C₂³	C₂×#2403	1	8	yes	—
805	C₂³	C₂×#2403	1	16	yes	—
806	C₂³	C₂×#2418	1	32	yes	—
807	C₂³	C₂×#2418	1	16	yes	—
808	C₂³	C₂×#2424	1	32	yes	—
809	C₂³	C₂×#2424	1	16	yes	—
810	C₂³	#34655	1	64	yes	—
811	C₂³	C₂×#2408	1	16	yes	—
812	C₂³	C₂×#2408	1	8	yes	—
813	C₂³	C₂×#2404	1	16	yes	—
814	C₂³	C₂×#2404	1	8	yes	—
815	C₂³	#34736	1	16	yes	—
816	C₂³	#34736	1	16	yes	—
817	C₂³	C₂×#2534	1	16	yes	—
818	C₂³	C₂×#2534	1	8	yes	—
819	C₂³	#34956	1	16	yes	—
820	C₂³	#34980	1	8	yes	—
821	C₂³	#34980	1	16	yes	—
822	C₂³	#34983	1	16	yes	—
823	C₂³	#34984	1	16	yes	—
824	C₂³	#34990	1	64	yes	—
825	C₂³	#35000	1	16	yes	—
826	C₂³	#35062	1	16	yes	—
827	C₂³	#35076	1	16	yes	—
828	C₂³	#35088	1	8	yes	—
829	C₂³	#35250	1	16	yes	—
830	C₂³	D₄×#120	1	32	yes	—
831	C₂³	D₄×#120	1	32	yes	—
832	C₂³	D₄×#121	1	64	yes	—
833	C₂³	D₄×#123	1	32	yes	—
834	C₂³	#36096	1	64	yes	—
835	C₂³	#36099	1	32	yes	—
836	C₂³	#36212	1	32	yes	—
837	C₂³	#36212	1	32	yes	—
838	C₂³	#36214	1	64	yes	—
839	C₂³	#36220	1	64	yes	—
840	C₂³	#36236	1	32	yes	—
841	C₂³	#36316	1	32	yes	—
842	C₂³	C₂×#2846	1	16	yes	—
843	C₂³	C₂×#2846	1	8	yes	—
844	C₂³	C₂×#2847	1	32	yes	—
845	C₂³	C₂×#2847	1	32	yes	—
846	C₂³	C₂×#2847	1	16	yes	—
847	C₂³	C₂×#2847	1	16	yes	—
848	C₂³	C₂×#2849	1	16	yes	—
849	C₂³	C₂×#2849	1	32	yes	—
850	C₂³	C₂×#2849	1	8	yes	—
851	C₂³	C₂×#2849	1	16	yes	—
852	C₂³	C₂⁴×C₂²⋊C₄	1	1	yes	characteristic
853	C₂³	C₂³×C₄×D₄	1	1	yes	characteristic
854	C₂³	C₂³×C₄×D₄	1	1	yes	characteristic
855	C₂³	C₂³×C₄×D₄	1	4	yes	—
856	C₂³	C₂³×C₄×D₄	1	2	yes	—
857	C₂³	C₂²×#518	1	2	yes	—
858	C₂³	C₂×C₄×H(5,𝔽₂)	1	4	yes	—
859	C₂³	C₂³×#120	1	1	yes	characteristic
860	C₂³	C₂³×#120	1	2	yes	—
861	C₂³	C₂³×#120	1	1	yes	characteristic
862	C₂³	C₂³×#120	1	2	yes	—
863	C₂³	C₂³×#120	1	2	yes	—
864	C₂³	C₂³×#121	1	4	yes	—
865	C₂³	C₂³×#121	1	1	yes	characteristic
866	C₂³	C₂³×#121	1	1	yes	characteristic
867	C₂³	C₂³×#123	1	1	yes	characteristic
868	C₂³	C₂³×#123	1	2	yes	—
869	C₂³	C₂²×#525	1	2	yes	—
870	C₂³	C₂²×#525	1	4	yes	—
871	C₂³	C₂²×#525	1	4	yes	—
872	C₂³	C₂²×#525	1	1	yes	characteristic
873	C₂³	C₂²×#525	1	2	yes	—
874	C₂³	C₂²×#525	1	2	yes	—
875	C₂³	C₂²×#534	1	1	yes	characteristic
876	C₂³	C₂²×#534	1	2	yes	—
877	C₂³	C₂²×#538	1	2	yes	—
878	C₂³	C₂×#3459	1	4	yes	—
879	C₂³	C₂²×#535	1	1	yes	characteristic
880	C₂³	C₂×#3449	1	2	yes	—
881	C₂³	C₂²×D₄²	1	2	yes	—
882	C₂³	C₂²×D₄²	1	2	yes	—
883	C₂³	C₂²×D₄²	1	8	yes	—
884	C₂³	C₂²×D₄²	1	2	yes	—
885	C₂³	C₂²×#546	1	2	yes	—
886	C₂³	C₂²×#546	1	2	yes	—
887	C₂³	C₂²×#546	1	2	yes	—
888	C₂³	C₂²×#546	1	2	yes	—
889	C₂³	C₂×D₄×#41	1	8	yes	—
890	C₂³	C₂×D₄×#41	1	8	yes	—
891	C₂³	C₂²×#551	1	2	yes	—
892	C₂³	C₂×#3481	1	8	yes	—
893	C₂³	C₂×#3484	1	8	yes	—
894	C₂³	C₂×#3484	1	2	yes	—
895	C₂³	C₂×#3484	1	2	yes	—
896	C₂³	C₂×#3496	1	4	yes	—
897	C₂³	C₂×#3505	1	4	yes	—
898	C₂³	C₂×#3513	1	8	yes	—
899	C₂³	C₂×#3519	1	8	yes	—
900	C₂³	C₂×#3485	1	2	yes	—
901	C₂³	C₂×#3485	1	2	yes	—
902	C₂³	C₂×#3488	1	8	yes	—
903	C₂×C₄	C₂²×#386	1	32	yes	complemented
904	C₂×C₄	C₂×#2403	1	32	yes	complemented
905	C₂²	C₂×#13967	1	16	yes	—
906	C₂²	C₂×#13967	1	32	yes	complemented
907	C₂²	C₄×#2403	1	32	yes	—
908	C₂²	#516577	1	16	yes	—
909	C₂²	#516725	1	32	yes	—
910	C₂²	D₄×#386	1	64	yes	—
911	C₂²	#519563	1	64	yes	—
912	C₂²	C₂×#14694	1	16	yes	—
913	C₂²	C₂×#14694	1	32	yes	complemented
914	C₂²	#612424	1	16	yes	—
915	C₂²	#612428	1	16	yes	—
916	C₂²	#612431	1	32	yes	—
917	C₂²	#612493	1	64	yes	—
918	C₂²	#612525	1	64	yes	—
919	C₂²	#613188	1	16	yes	—
920	C₂²	#613191	1	16	yes	—
921	C₂²	#613869	1	32	yes	—
922	C₂²	C₂³×#386	1	1	yes	characteristic
923	C₂²	C₂³×#386	1	2	yes	—
924	C₂²	C₂²×C₄×#120	1	2	yes	—
925	C₂²	C₂²×C₄×#120	1	2	yes	—
926	C₂²	C₂²×C₄×#120	1	1	yes	characteristic
927	C₂²	C₂²×#2321	1	1	yes	characteristic
928	C₂²	C₂×C₄×#534	1	2	yes	—
929	C₂²	C₂²×D₄×C₂²⋊C₄	1	2	yes	—
930	C₂²	C₂²×#2358	1	2	yes	—
931	C₂²	C₂×C₄×D₄²	1	8	yes	—
932	C₂²	C₂×#34256	1	2	yes	—
933	C₂²	C₂×#34264	1	2	yes	—
934	C₂²	C₂×#34290	1	8	yes	—
935	C₂²	C₂²×#2403	1	1	yes	characteristic
936	C₂²	C₂²×#2403	1	2	yes	—
937	C₂²	C₂²×#2418	1	2	yes	—
938	C₂²	C₂²×#2424	1	2	yes	—
939	C₂²	C₂×#34655	1	8	yes	—
940	C₂²	C₂²×#2408	1	1	yes	characteristic
941	C₂²	C₂²×#2404	1	1	yes	characteristic
942	C₂²	C₂×#34736	1	2	yes	—
943	C₂²	C₂×#34736	1	2	yes	—
944	C₂²	C₂²×#2534	1	1	yes	characteristic
945	C₂²	C₂×#34956	1	2	yes	—
946	C₂²	C₂×#34980	1	2	yes	—
947	C₂²	C₂×#34980	1	1	yes	characteristic
948	C₂²	C₂×#34983	1	2	yes	—
949	C₂²	C₂×#34984	1	2	yes	—
950	C₂²	C₂×#34990	1	8	yes	—
951	C₂²	C₂×#35000	1	2	yes	—
952	C₂²	C₂×#35062	1	2	yes	—
953	C₂²	C₂×#35076	1	2	yes	—
954	C₂²	C₂×#35088	1	1	yes	characteristic
955	C₂²	C₂×#35250	1	2	yes	—
956	C₂²	C₂×D₄×#120	1	4	yes	—
957	C₂²	C₂×D₄×#120	1	4	yes	—
958	C₂²	C₂×D₄×#121	1	8	yes	—
959	C₂²	C₂×D₄×#123	1	4	yes	—
960	C₂²	C₂×#36096	1	8	yes	—
961	C₂²	C₂×#36099	1	4	yes	—
962	C₂²	C₂×#36212	1	4	yes	—
963	C₂²	C₂×#36212	1	4	yes	—
964	C₂²	C₂×#36214	1	8	yes	—
965	C₂²	C₂×#36220	1	8	yes	—
966	C₂²	C₂×#36236	1	4	yes	—
967	C₂²	C₂×#36316	1	4	yes	—
968	C₂²	C₂²×#2846	1	1	yes	characteristic
969	C₂²	C₂²×#2847	1	2	yes	—
970	C₂²	C₂²×#2847	1	2	yes	—
971	C₂²	C₂²×#2849	1	1	yes	characteristic
972	C₂²	C₂²×#2849	1	2	yes	—
973	C₂	C₂×#612424	1	1	yes	characteristic
974	C₂	C₂²×#14694	1	1	yes	characteristic
975	C₂	C₂²×#13967	1	1	yes	characteristic
976	C₂	C₂×#519563	1	4	yes	—
977	C₂	C₂×#612525	1	4	yes	—
978	C₂	C₂×#516725	1	2	yes	—
979	C₂	C₂×D₄×#386	1	4	yes	—
980	C₂	C₂×#612431	1	2	yes	—
981	C₂	C₂×C₄×#2403	1	2	yes	—
982	C₂	#72298481	1	32	yes	direct product factor
983	C₂	C₂×#612493	1	4	yes	—
984	C₂	C₂×#613869	1	2	yes	—
985	C₂	C₂×#612428	1	1	yes	characteristic
986	C₂	C₂×#613188	1	1	yes	characteristic
987	C₂	C₂×#613191	1	1	yes	characteristic
988	C₂	C₂×#516577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁶	C₂⁵
commutator	C₂⁴	C₂⁵×C₄
Frattini, cosocle	C₂⁵	C₂⁶
prime radical	C₂³×#2403	C₂
LCS	G ▷ C₂⁴ ▷ C₁
UCS	C₁ ◁ C₂⁶ ◁ G
LECS	G ▷ C₂⁵ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#154248	C₂	semidirect
2. C₂×#154088	C₂	semidirect
3. #72298481	C₂	direct (N × H)
4. C₂⁴×#386	C₂	semidirect
5. C₂×#154077	C₂	semidirect
6. C₂×#153851	C₂	semidirect
7. C₂⁵×C₄×D₄	C₂	semidirect
8. C₂²×#13967	C₂	semidirect
9. C₂×#154195	C₂	semidirect
10. C₂×#154634	C₂	semidirect
11. C₂²×#14694	C₂	semidirect
12. C₂²×#13867	C₂	semidirect
13. C₂²×#13867	C₂	semidirect
14. C₂×#153827	C₂	semidirect
19. C₂⁷×C₄	C₂²	semidirect
23. C₂⁴×C₄×D₄	C₂²	semidirect
24. C₂⁴×C₄×D₄	C₂²	semidirect
25. C₂⁵×C₄⋊C₄	C₂²	semidirect
28. C₂⁵×C₂²⋊C₄	C₂²	semidirect
29. C₂⁵×C₂²⋊C₄	C₂²	semidirect
30. C₂⁵×C₄²	C₂²	semidirect
31. C₂²×#2403	C₄	semidirect
41. C₂³×#386	C₂²	semidirect
42. C₂³×#386	C₂²	semidirect
43. C₂³×#386	C₂²	semidirect
46. C₂³×#379	C₂²	semidirect
47. C₂³×#379	C₂²	semidirect
48. C₂⁴×#95	C₂²	semidirect
49. C₂×#14694	C₂²	semidirect
50. C₂×#13967	C₂²	semidirect
51. C₂×#13867	C₂²	semidirect
52. C₂×#13867	C₂²	semidirect
53. C₂²×#1439	C₂²	semidirect
54. C₂²×#1438	C₂²	semidirect
55. C₂²×#1438	C₂²	semidirect
56. C₂²×#1438	C₂²	semidirect
57. C₂²×#1437	C₂²	semidirect
58. C₂²×C₂²⋊#95	C₂²	semidirect
59. C₂²×C₂²⋊#95	C₂²	semidirect
60. C₂²×C₂²⋊#95	C₂²	semidirect
61. C₂²×C₂²⋊#95	C₂²	semidirect
62. C₂²×C₂²⋊#95	C₂²	semidirect
63. C₂²×C₂²⋊#95	C₂²	semidirect
64. C₂²×C₂²⋊#95	C₂²	semidirect
65. C₂²×C₂²⋊#95	C₂²	semidirect
66. C₂²×C₂²⋊#95	C₂²	semidirect
67. C₂²×C₂²⋊#95	C₂²	semidirect
68. #154634	C₂²	semidirect
69. #154248	C₂²	semidirect
70. #154195	C₂²	semidirect
71. #154088	C₂²	semidirect
72. #154077	C₂²	semidirect
73. #153851	C₂²	semidirect
74. #153827	C₂²	semidirect
75. C₂×#7557	C₂²	semidirect
76. C₂×#7555	C₂²	semidirect
77. C₂×#7555	C₂²	semidirect
78. C₂×#7554	C₂²	semidirect
83. C₂⁵×D₄	C₂×C₄	semidirect
93. C₂⁶×C₄	D₄	semidirect
105. C₂⁶×C₄	C₂³	semidirect
106. C₂³×#120	C₂×C₄	semidirect
107. C₂³×#120	C₂×C₄	semidirect
110. C₂³×C₄×D₄	D₄	semidirect
112. C₂³×C₄×D₄	C₂³	semidirect
114. C₂⁴×C₄⋊C₄	C₂³	semidirect
115. C₂⁴×C₂²⋊C₄	D₄	semidirect
136. C₂⁴×C₂²⋊C₄	C₂³	semidirect
137. C₂⁴×C₂²⋊C₄	C₂³	semidirect
139. C₂⁴×C₄²	C₂³	semidirect
140. C₂×#2403	C₂×C₄	semidirect
141. C₂²×#392	C₂×C₄	semidirect
143. C₂²×#386	C₂×C₄	semidirect
144. C₂²×#386	C₂×C₄	semidirect
145. C₂²×#386	D₄	semidirect
153. C₂²×#386	C₂³	semidirect
154. C₂²×#386	C₂³	semidirect
155. C₂²×#379	C₂×C₄	semidirect
158. C₂²×#379	C₂³	semidirect
159. C₂²×#379	C₂³	semidirect
170. C₂³×#95	C₂³	semidirect
171. C₂×#1439	C₂³	semidirect
172. C₂×#1438	C₂³	semidirect
173. C₂×#1438	C₂³	semidirect
174. C₂×#1438	C₂³	semidirect
175. C₂×#1437	C₂³	semidirect
176. C₂×C₂²⋊#95	C₂³	semidirect
177. C₂×C₂²⋊#95	C₂³	semidirect
178. C₂×C₂²⋊#95	C₂³	semidirect
179. C₂×C₂²⋊#95	C₂³	semidirect
180. C₂×C₂²⋊#95	C₂³	semidirect
181. C₂×C₂²⋊#95	C₂³	semidirect
182. C₂×C₂²⋊#95	C₂³	semidirect
183. C₂×C₂²⋊#95	C₂³	semidirect
184. C₂×C₂²⋊#95	C₂³	semidirect
185. C₂×C₂²⋊#95	C₂³	semidirect
186. #7557	C₂³	semidirect
187. #7555	C₂³	semidirect
188. #7555	C₂³	semidirect
189. #7554	C₂³	semidirect
192. C₂⁷	C₂²×C₄	semidirect
209. C₂⁴×D₄	C₂²⋊C₄	semidirect
214. C₂⁴×D₄	C₂²×C₄	semidirect
215. C₂⁴×D₄	C₂²×C₄	semidirect
216. C₂⁴×D₄	C₂²×C₄	semidirect
233. C₂⁵×C₄	C₂²×C₄	semidirect
244. C₂⁵×C₄	C₂×D₄	semidirect
245. C₂⁵×C₄	C₂×D₄	semidirect
265. C₂²×#120	C₂²×C₄	semidirect
266. C₂²×#120	C₂²×C₄	semidirect
267. C₂²×C₄×D₄	C₂×D₄	semidirect
268. C₂³×C₄⋊C₄	C₂×D₄	semidirect
271. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
272. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
273. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
274. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
279. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
280. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
281. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
300. C₂³×C₄²	C₂×D₄	semidirect
302. C₂×#392	C₂²×C₄	semidirect
303. C₂×#386	C₂²×C₄	semidirect
304. C₂×#386	C₂²×C₄	semidirect
305. C₂×#386	C₂×D₄	semidirect
306. C₂×#379	C₂²×C₄	semidirect
307. C₂²×#95	C₂²×C₄	semidirect
308. C₂²×#95	C₂×D₄	semidirect
320. C₂⁶	C₂×C₂²⋊C₄	semidirect
334. C₂⁶	C₂³×C₄	semidirect
380. C₂³×D₄	C₂×C₂²⋊C₄	semidirect
381. C₂³×D₄	C₂×C₂²⋊C₄	semidirect
383. C₂³×D₄	C₄×D₄	semidirect
390. C₂³×D₄	C₂³×C₄	semidirect
391. C₂³×D₄	C₂³×C₄	semidirect
400. C₂⁴×C₄	C₂×C₂²⋊C₄	semidirect
401. C₂⁴×C₄	#120	semidirect
402. C₂⁴×C₄	#120	semidirect
407. C₂⁴×C₄	C₂³×C₄	semidirect
432. C₂⁴×C₄	C₂²×D₄	semidirect
445. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
446. C₂²×C₂²⋊C₄	#120	semidirect
448. C₂²×C₂²⋊C₄	C₂³×C₄	semidirect
449. C₂²×C₂²⋊C₄	C₂³×C₄	semidirect
450. C₂²×C₂²⋊C₄	C₂³×C₄	semidirect
451. C₂²×C₂²⋊C₄	C₂³×C₄	semidirect
456. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
457. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
458. C₂²×C₄²	C₂²×D₄	semidirect
459. C₂×#95	C₂³×C₄	semidirect
460. C₂×#95	C₂²×D₄	semidirect
461. C₂⁵	#386	semidirect
467. C₂⁵	C₂²×C₂²⋊C₄	semidirect
479. C₂⁵	C₂×C₄×D₄	semidirect
574. C₂²×D₄	#386	semidirect
576. C₂²×D₄	C₂²×C₂²⋊C₄	semidirect
578. C₂²×D₄	C₂×C₄×D₄	semidirect
583. C₂³×C₄	C₂²×C₂²⋊C₄	semidirect
585. C₂³×C₄	C₂×C₄×D₄	semidirect
592. C₂³×C₄	C₂×#120	semidirect
593. C₂³×C₄	C₂×#120	semidirect
618. C₂×C₂²⋊C₄	C₂×#120	semidirect
623. C₂⁴	C₂×#386	semidirect
624. C₂⁴	C₂×#386	semidirect
660. C₂⁴	C₂²×C₄×D₄	semidirect
761. C₂×D₄	C₂×#386	semidirect
762. C₂²×C₄	C₂×#386	semidirect
763. C₂²×C₄	#2403	semidirect
766. C₂²×C₄	C₂²×C₄×D₄	semidirect
777. C₂³	#13967	semidirect
778. C₂³	#14694	semidirect
785. C₂³	C₂²×#386	semidirect
903. C₂×C₄	C₂²×#386	semidirect
904. C₂×C₄	C₂×#2403	semidirect
906. C₂²	C₂×#13967	semidirect
913. C₂²	C₂×#14694	semidirect
982. C₂	#72298481	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×#154248	2
C₂×#154088	2
#72298481	2
C₂⁴×#386	2
C₂×#154077	2
C₂×#153851	2
C₂⁵×C₄×D₄	2
C₂²×#13967	2
C₂×#154195	2
C₂×#154634	2
C₂²×#14694	2
C₂²×#13867	2
C₂×#153827	2
C₂³×#2403	2

Subgroups — C2×#72298481 #72334591

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72298481 #72334591