Subgroups — #34083132

Order 19328.

1252 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23752925	C₂	1	1	yes	maximal, characteristic, complemented
2	#23752921	C₂	1	1	yes	maximal, characteristic, complemented
3	#23752912	C₂	1	1	yes	maximal, characteristic, complemented
4	#23752911	C₂	1	2	yes	maximal, complemented
5	#23752906	C₂	1	1	yes	maximal, characteristic, complemented
6	#23752883	C₂	1	1	yes	maximal, characteristic, complemented
7	#23752858	C₂	1	2	yes	maximal, complemented
8	#23752852	C₂	1	2	yes	maximal, complemented
9	#23752852	C₂	1	2	yes	maximal, complemented
10	D₄×D₆₀₄	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×C₂²⋊D₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×C₂²⋊D₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
13	#23752817	C₂	1	1	yes	maximal, characteristic, complemented
14	#23752813	C₂	1	1	yes	maximal, characteristic, complemented
15	#23752800	C₂	1	2	yes	maximal, complemented
16	#23752795	C₂	1	2	yes	maximal, complemented
17	#23752759	C₂	1	1	yes	maximal, characteristic, complemented
18	#23752740	C₂	1	1	yes	maximal, characteristic, complemented
19	#23752721	C₂	1	2	yes	maximal, complemented
20	C₂×#18012712	C₂	1	2	yes	maximal, complemented
21	#23752684	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×D₄×D₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
23	#518×C₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14559004	C₂²	1	2	yes	complemented
25	C₂×#14559004	C₂²	1	2	yes	complemented
26	C₂²×D₆₀₄	C₂²	1	2	yes	complemented
27	C₂²×C₂²⋊D₁₅₁	C₂²	1	2	yes	complemented
28	C₂²×C₂²⋊D₁₅₁	C₂²	1	2	yes	complemented
29	C₂×D₄×D₁₅₁	C₂²	1	1	yes	characteristic
30	C₂×D₄×D₁₅₁	C₂²	1	1	yes	characteristic
31	C₂²×C₄×D₁₅₁	C₂²	1	2	yes	complemented
32	#18012738	C₂²	1	1	yes	characteristic, complemented
33	#18012736	C₂²	1	1	yes	characteristic, complemented
34	#18012735	C₂²	1	1	yes	characteristic, complemented
35	#18012735	C₂²	1	1	yes	characteristic, complemented
36	#18012734	C₂²	1	1	yes	characteristic, complemented
37	#18012733	C₂²	1	2	yes	complemented
38	#18012732	C₂²	1	1	yes	characteristic, complemented
39	#18012732	C₂²	1	2	yes	complemented
40	#18012731	C₂²	1	1	yes	characteristic, complemented
41	#18012730	C₂²	1	1	yes	characteristic, complemented
42	#18012729	C₂²	1	1	yes	characteristic, complemented
43	#18012727	C₂²	1	2	yes	complemented
44	#18012725	C₂²	1	1	yes	characteristic, complemented
45	#18012725	C₂²	1	2	yes	complemented
46	#18012725	C₂²	1	2	yes	complemented
47	#18012724	C₂²	1	2	yes	complemented
48	#18012724	C₂²	1	1	yes	characteristic, complemented
49	#18012724	C₂²	1	2	yes	complemented
50	#18012722	C₂²	1	2	yes	complemented
51	#18012722	C₂²	1	2	yes	complemented
52	#18012721	C₂²	1	2	yes	complemented
53	#18012721	C₂²	1	1	yes	characteristic, complemented
54	#18012721	C₂²	1	2	yes	complemented
55	#18012718	C₂²	1	2	yes	complemented
56	#18012717	C₂²	1	1	yes	characteristic, complemented
57	#18012716	C₂²	1	2	yes	complemented
58	#18012716	C₂²	1	2	yes	complemented
59	#18012714	C₂²	1	1	yes	characteristic, complemented
60	#18012714	C₂²	1	1	yes	characteristic, complemented
61	#18012713	C₂²	1	2	yes	complemented
62	#18012713	C₂²	1	2	yes	complemented
63	#18012713	C₂²	1	2	yes	complemented
64	#18012713	C₂²	1	1	yes	characteristic, complemented
65	#18012713	C₂²	1	1	yes	characteristic, complemented
66	#18012712	C₂²	1	1	yes	characteristic
67	#18012712	C₂²	1	2	yes	complemented
68	#18012712	C₂²	1	2	yes	complemented
69	#18012712	C₂²	1	2	yes	complemented
70	#18012712	C₂²	1	2	yes	complemented
71	#18012712	C₂²	1	2	yes	complemented
72	#18012712	C₂²	1	2	yes	complemented
73	#18012712	C₂²	1	2	yes	complemented
74	#18012712	C₂²	1	2	yes	complemented
75	#18012712	C₂²	1	2	yes	complemented
76	#18012711	C₂²	1	2	yes	complemented
77	#18012711	C₂²	1	2	yes	complemented
78	#18012710	C₂²	1	1	yes	characteristic, complemented
79	#18012710	C₂²	1	1	yes	characteristic, complemented
80	#18012709	C₂²	1	2	yes	complemented
81	#18012709	C₂²	1	2	yes	complemented
82	#18012708	C₂²	1	2	yes	complemented
83	#18012708	C₂²	1	2	yes	complemented
84	#18012707	C₂²	1	2	yes	complemented
85	#18012707	C₂²	1	2	yes	complemented
86	C₄×Dic₃₀₂	C₂²	1	1	yes	characteristic, complemented
87	C₄×D₆₀₄	C₂²	1	2	yes	complemented
88	C₄×D₆₀₄	C₂²	1	1	yes	characteristic, complemented
89	C₄×D₆₀₄	C₂²	1	1	yes	characteristic, complemented
90	C₄×D₆₀₄	C₂²	1	1	yes	characteristic, complemented
91	D₄×Dic₁₅₁	C₂²	1	1	yes	characteristic
92	D₄×Dic₁₅₁	C₂²	1	1	yes	characteristic
93	#18012701	C₂²	1	1	yes	characteristic, complemented
94	#18012701	C₂²	1	1	yes	characteristic, complemented
95	C₄×C₂²⋊D₁₅₁	C₂²	1	2	yes	complemented
96	C₄×C₂²⋊D₁₅₁	C₂²	1	2	yes	complemented
97	C₄×C₂²⋊D₁₅₁	C₂²	1	1	yes	characteristic, complemented
98	C₄×C₂²⋊D₁₅₁	C₂²	1	1	yes	characteristic, complemented
99	C₄×C₂²⋊D₁₅₁	C₂²	1	2	yes	complemented
100	C₄×C₂²⋊D₁₅₁	C₂²	1	2	yes	complemented
101	(C₂²⋊D₁₅₁)⋊C₄	C₂²	1	2	yes	complemented
102	(C₂²⋊D₁₅₁)⋊C₄	C₂²	1	2	yes	complemented
103	#18012697	C₂²	1	1	yes	characteristic, complemented
104	#18012696	C₂²	1	2	yes	complemented
105	#18012696	C₂²	1	1	yes	characteristic, complemented
106	C₂×Dic₁₅₁⋊C₄	C₂²	1	2	yes	complemented
107	C₄⋊C₄×D₁₅₁	C₂²	1	1	yes	characteristic, complemented
108	C₂×(C₂×D₁₅₁)⋊C₄	C₂²	1	2	yes	complemented
109	C₂²⋊C₄×D₁₅₁	C₂²	1	2	yes	complemented
110	C₂²⋊C₄×D₁₅₁	C₂²	1	2	yes	complemented
111	C₄²×D₁₅₁	C₂²	1	1	yes	characteristic, complemented
112	C₂²×D₄×C₁₅₁	C₂²	1	1	yes	characteristic
113	C₄×D₄×C₁₅₁	C₂²	1	1	yes	characteristic
114	C₄×D₄×C₁₅₁	C₂²	1	1	yes	characteristic
115	C₄×D₄×C₁₅₁	C₂²	1	2	yes	complemented
116	C₄×D₄×C₁₅₁	C₂²	1	1	yes	characteristic, complemented
117	C₄×D₄×C₁₅₁	C₂²	1	2	yes	complemented
118	C₄×D₄×C₁₅₁	C₂²	1	1	yes	characteristic, complemented
119	#117×C₁₅₁	C₂²	1	1	yes	characteristic, complemented
120	#117×C₁₅₁	C₂²	1	1	yes	characteristic, complemented
121	C₂×C₂²⋊C₄×C₁₅₁	C₂²	1	2	yes	complemented
122	C₂×C₂²⋊C₄×C₁₅₁	C₂²	1	2	yes	complemented
123	C₂³×D₁₅₁	C₂³	1	2	yes	—
124	C₂³×D₁₅₁	C₂³	1	2	yes	—
125	#14559004	—	4	4	no	—
126	#14559004	—	4	4	no	—
127	C₂×Dic₃₀₂	C₂³	1	1	yes	characteristic
128	C₂×Dic₃₀₂	C₂³	1	2	yes	—
129	C₂×D₆₀₄	—	4	4	no	—
130	C₂×D₆₀₄	C₂³	1	1	yes	characteristic
131	C₂×D₆₀₄	C₂³	1	1	yes	characteristic
132	C₂×D₆₀₄	C₂³	1	2	yes	—
133	C₂×D₆₀₄	C₂³	1	1	yes	characteristic
134	C₂×D₆₀₄	C₂³	1	2	yes	—
135	C₂×D₆₀₄	C₂³	1	2	yes	—
136	C₂×D₆₀₄	C₂³	1	2	yes	—
137	C₂×C₂²⋊D₁₅₁	—	4	4	no	—
138	C₂×C₂²⋊D₁₅₁	—	4	4	no	—
139	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
140	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
141	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
142	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
143	C₂×C₂²⋊D₁₅₁	C₂³	1	1	yes	characteristic
144	C₂×C₂²⋊D₁₅₁	C₂³	1	1	yes	characteristic
145	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
146	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
147	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
148	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
149	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
150	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
151	D₄×D₁₅₁	—	2	4	no	—
152	D₄×D₁₅₁	—	2	4	no	—
153	C₂²×Dic₁₅₁	C₂³	1	2	yes	—
154	C₂²×Dic₁₅₁	C₂³	1	2	yes	—
155	C₂×C₄×D₁₅₁	—	4	4	no	—
156	C₂×C₄×D₁₅₁	C₂³	1	1	yes	characteristic
157	C₂×C₄×D₁₅₁	C₂³	1	1	yes	characteristic
158	C₂×C₄×D₁₅₁	C₂³	1	1	yes	characteristic
159	C₂×C₄×D₁₅₁	C₂³	1	1	yes	characteristic
160	C₂×C₄×D₁₅₁	C₂³	1	2	yes	—
161	C₂×C₄×D₁₅₁	C₂³	1	2	yes	—
162	C₂×C₄×D₁₅₁	C₂³	1	2	yes	—
163	C₂×C₄×D₁₅₁	C₂³	1	2	yes	—
164	C₂×C₄×D₁₅₁	C₂³	1	2	yes	—
165	C₄⋊Dic₁₅₁	C₂³	1	1	yes	characteristic
166	C₄⋊Dic₁₅₁	C₂³	1	1	yes	characteristic
167	C₄⋊Dic₁₅₁	C₂³	1	1	yes	characteristic
168	C₄⋊Dic₁₅₁	C₂³	1	2	yes	—
169	C₄⋊Dic₁₅₁	C₂³	1	1	yes	characteristic
170	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
171	Dic₁₅₁⋊C₄	C₂³	1	1	yes	characteristic
172	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
173	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
174	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
175	Dic₁₅₁⋊C₄	C₂³	1	1	yes	characteristic
176	Dic₁₅₁⋊C₄	C₂³	1	1	yes	characteristic
177	Dic₁₅₁⋊C₄	C₂³	1	1	yes	characteristic
178	Dic₁₅₁⋊C₄	C₂³	1	1	yes	characteristic
179	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
180	Dic₁₅₁⋊C₄	C₂³	1	1	yes	characteristic
181	C₂²⋊Dic₁₅₁	C₂³	1	2	yes	—
182	C₂²⋊Dic₁₅₁	C₂³	1	2	yes	—
183	C₂²⋊Dic₁₅₁	C₂³	1	1	yes	characteristic
184	C₂²⋊Dic₁₅₁	C₂³	1	1	yes	characteristic
185	C₂²⋊Dic₁₅₁	C₂³	1	2	yes	—
186	C₂²⋊Dic₁₅₁	C₂³	1	2	yes	—
187	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
188	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
189	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
190	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
191	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
192	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
193	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
194	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
195	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
196	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
197	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
198	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
199	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
200	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
201	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
202	C₄×Dic₁₅₁	C₂³	1	1	yes	characteristic
203	C₄×Dic₁₅₁	C₂³	1	1	yes	characteristic
204	C₄×Dic₁₅₁	C₂³	1	1	yes	characteristic
205	C₄×Dic₁₅₁	C₂³	1	2	yes	—
206	C₄×Dic₁₅₁	C₂³	1	1	yes	characteristic
207	C₂⁴×C₁₅₁	C₂³	1	2	yes	—
208	C₂×D₄×C₁₅₁	—	2	4	no	—
209	C₂×D₄×C₁₅₁	C₂³	1	2	yes	—
210	C₂×D₄×C₁₅₁	C₂³	1	1	yes	characteristic
211	C₂×D₄×C₁₅₁	C₂³	1	1	yes	characteristic
212	C₂²×C₄×C₁₅₁	C₂³	1	1	yes	characteristic
213	C₂²×C₄×C₁₅₁	C₂³	1	2	yes	—
214	C₂²×C₄×C₁₅₁	C₂³	1	2	yes	—
215	C₂²×C₄×C₁₅₁	C₂³	1	2	yes	—
216	C₂²×C₄×C₁₅₁	C₂³	1	2	yes	—
217	C₄⋊C₄×C₁₅₁	C₂³	1	1	yes	characteristic
218	C₄⋊C₄×C₁₅₁	C₂³	1	1	yes	characteristic
219	C₄⋊C₄×C₁₅₁	C₂³	1	1	yes	characteristic
220	C₄⋊C₄×C₁₅₁	C₂³	1	1	yes	characteristic
221	C₂²⋊C₄×C₁₅₁	C₂³	1	2	yes	—
222	C₂²⋊C₄×C₁₅₁	C₂³	1	2	yes	—
223	C₂²⋊C₄×C₁₅₁	C₂³	1	1	yes	characteristic
224	C₂²⋊C₄×C₁₅₁	C₂³	1	2	yes	—
225	C₂²⋊C₄×C₁₅₁	C₂³	1	1	yes	characteristic
226	C₂²⋊C₄×C₁₅₁	C₂³	1	2	yes	—
227	C₂²⋊C₄×C₁₅₁	C₂³	1	2	yes	—
228	C₄²×C₁₅₁	C₂³	1	1	yes	characteristic
229	C₄²×C₁₅₁	C₂³	1	2	yes	—
230	C₄²×C₁₅₁	C₂³	1	1	yes	characteristic
231	C₂²×D₁₅₁	—	2	4	no	—
232	C₂²×D₁₅₁	—	2	4	no	—
233	C₂²×D₁₅₁	—	2	4	no	—
234	C₂²×D₁₅₁	—	4	2	no	—
235	C₂²×D₁₅₁	—	4	2	no	—
236	C₂²×D₁₅₁	—	4	2	no	—
237	C₂²×D₁₅₁	C₂⁴	1	1	yes	characteristic
238	C₂²×D₁₅₁	C₂⁴	1	2	yes	—
239	C₂²×D₁₅₁	C₂⁴	1	2	yes	—
240	C₂²×D₁₅₁	C₂⁴	1	1	yes	characteristic
241	Dic₃₀₂	—	2	2	no	—
242	Dic₃₀₂	—	4	2	no	—
243	D₆₀₄	—	2	2	no	—
244	D₆₀₄	—	2	4	no	—
245	D₆₀₄	—	2	2	no	—
246	D₆₀₄	—	2	2	no	—
247	D₆₀₄	—	4	2	no	—
248	D₆₀₄	—	4	2	no	—
249	D₆₀₄	—	4	2	no	—
250	C₂²⋊D₁₅₁	—	2	4	no	—
251	C₂²⋊D₁₅₁	—	2	4	no	—
252	C₂²⋊D₁₅₁	—	2	2	no	—
253	C₂²⋊D₁₅₁	—	2	4	no	—
254	C₂²⋊D₁₅₁	—	2	2	no	—
255	C₂²⋊D₁₅₁	—	2	4	no	—
256	C₂²⋊D₁₅₁	—	4	2	no	—
257	C₂²⋊D₁₅₁	—	4	2	no	—
258	C₂²⋊D₁₅₁	—	4	2	no	—
259	C₂²⋊D₁₅₁	—	4	2	no	—
260	C₂²⋊D₁₅₁	—	4	2	no	—
261	C₂²⋊D₁₅₁	—	4	2	no	—
262	C₂×Dic₁₅₁	—	2	4	no	—
263	C₂×Dic₁₅₁	—	4	2	no	—
264	C₂×Dic₁₅₁	C₂⁴	1	1	yes	characteristic
265	C₂×Dic₁₅₁	C₂⁴	1	1	yes	characteristic
266	C₂×Dic₁₅₁	C₂⁴	1	1	yes	characteristic
267	C₂×Dic₁₅₁	C₂⁴	1	2	yes	—
268	C₂×Dic₁₅₁	C₂⁴	1	1	yes	characteristic
269	C₂×Dic₁₅₁	C₂⁴	1	1	yes	characteristic
270	C₂×Dic₁₅₁	C₂⁴	1	2	yes	—
271	C₂×Dic₁₅₁	C₂⁴	1	1	yes	characteristic
272	C₄×D₁₅₁	—	2	2	no	—
273	C₄×D₁₅₁	—	2	2	no	—
274	C₄×D₁₅₁	—	2	2	no	—
275	C₄×D₁₅₁	—	2	2	no	—
276	C₄×D₁₅₁	—	2	4	no	—
277	C₄×D₁₅₁	—	4	2	no	—
278	C₄×D₁₅₁	—	4	2	no	—
279	C₄×D₁₅₁	—	4	2	no	—
280	C₄×D₁₅₁	—	4	2	no	—
281	C₂³×C₁₅₁	—	2	4	no	—
282	C₂³×C₁₅₁	—	4	2	no	—
283	C₂³×C₁₅₁	—	4	2	no	—
284	C₂³×C₁₅₁	C₂⁴	1	1	yes	characteristic
285	C₂³×C₁₅₁	C₂⁴	1	2	yes	—
286	C₂³×C₁₅₁	C₂⁴	1	2	yes	—
287	D₄×C₁₅₁	—	2	4	no	—
288	D₄×C₁₅₁	—	2	2	no	—
289	D₄×C₁₅₁	#41	1	4	yes	complemented
290	C₂×C₄×C₁₅₁	—	2	2	no	—
291	C₂×C₄×C₁₅₁	—	4	2	no	—
292	C₂×C₄×C₁₅₁	—	4	2	no	—
293	C₂×C₄×C₁₅₁	—	4	2	no	—
294	C₂×C₄×C₁₅₁	—	4	2	no	—
295	C₂×C₄×C₁₅₁	C₂⁴	1	1	yes	characteristic
296	C₂×C₄×C₁₅₁	C₂⁴	1	1	yes	characteristic
297	C₂×C₄×C₁₅₁	C₂⁴	1	2	yes	—
298	C₂×C₄×C₁₅₁	C₂⁴	1	1	yes	characteristic
299	C₂×C₄×C₁₅₁	C₂⁴	1	2	yes	—
300	C₂×C₄×C₁₅₁	C₂⁴	1	1	yes	characteristic
301	C₂×C₄×C₁₅₁	C₂⁴	1	1	yes	characteristic
302	C₂×C₄×C₁₅₁	C₂⁴	1	1	yes	characteristic
303	C₂²×C₁₅₁	—	2	2	no	—
304	C₂²×C₁₅₁	—	2	2	no	—
305	C₂²×C₁₅₁	—	2	1	no	—
306	C₂²×C₁₅₁	—	2	2	no	—
307	C₂²×C₁₅₁	—	2	2	no	—
308	C₂²×C₁₅₁	—	2	2	no	—
309	C₂²×C₁₅₁	—	2	1	no	—
310	C₂²×C₁₅₁	—	2	1	no	—
311	C₂²×C₁₅₁	—	8	4	no	—
312	C₂²×C₁₅₁	C₂×#41	1	4	yes	—
313	C₂²×C₁₅₁	C₂⁵	1	1	yes	characteristic
314	C₂×D₁₅₁	—	2	1	no	—
315	C₂×D₁₅₁	—	2	1	no	—
316	C₂×D₁₅₁	—	2	1	no	—
317	C₂×D₁₅₁	—	2	2	no	—
318	C₂×D₁₅₁	—	2	2	no	—
319	C₂×D₁₅₁	—	2	2	no	—
320	C₂×D₁₅₁	—	2	2	no	—
321	C₂×D₁₅₁	—	2	2	no	—
322	C₂×D₁₅₁	—	2	1	no	—
323	C₂×D₁₅₁	—	2	2	no	—
324	C₂×D₁₅₁	—	2	1	no	—
325	C₂×D₁₅₁	—	4	8	no	—
326	C₂×D₁₅₁	—	8	4	no	—
327	C₂×D₁₅₁	H(5,𝔽₂)	1	2	yes	—
328	C₄×C₁₅₁	—	2	1	no	—
329	C₄×C₁₅₁	—	2	1	no	—
330	C₄×C₁₅₁	—	2	1	no	—
331	C₄×C₁₅₁	—	2	2	no	—
332	C₄×C₁₅₁	—	2	1	no	—
333	C₄×C₁₅₁	—	2	2	no	—
334	C₄×C₁₅₁	—	2	1	no	—
335	C₄×C₁₅₁	C₂×#41	1	2	yes	—
336	Dic₁₅₁	—	2	1	no	—
337	Dic₁₅₁	—	2	1	no	—
338	Dic₁₅₁	—	2	1	no	—
339	Dic₁₅₁	—	2	2	no	—
340	Dic₁₅₁	—	2	1	no	—
341	Dic₁₅₁	—	2	2	no	—
342	Dic₁₅₁	—	2	1	no	—
343	Dic₁₅₁	H(5,𝔽₂)	1	2	yes	—
344	C₂×C₁₅₁	—	2	4	no	—
345	C₂×C₁₅₁	—	4	2	no	—
346	C₂×C₁₅₁	—	4	1	no	—
347	C₂×C₁₅₁	C₂²×#41	1	1	yes	characteristic
348	C₂×C₁₅₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
349	C₂×C₁₅₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
350	D₁₅₁	—	2	2	no	—
351	D₁₅₁	—	4	2	no	—
352	D₁₅₁	—	4	2	no	—
353	D₁₅₁	—	4	1	no	—
354	C₁₅₁	#3519	1	1	yes	characteristic, complemented, Sylow
355	#3519	—	151	1	no	maximal, Sylow
356	#555	—	151	1	no	—
357	#554	—	151	1	no	—
358	#553	—	151	2	no	—
359	#553	—	151	1	no	—
360	#553	—	151	1	no	—
361	#550	—	151	1	no	—
362	#546	—	151	2	no	—
363	#546	—	151	2	no	—
364	#546	—	151	2	no	—
365	D₄²	—	151	1	no	—
366	D₄²	—	151	1	no	—
367	D₄²	—	151	1	no	—
368	#540	—	151	1	no	—
369	#540	—	151	1	no	—
370	#538	—	151	2	no	—
371	#538	—	151	2	no	—
372	#532	—	151	1	no	—
373	#529	—	151	1	no	—
374	#525	—	151	2	no	—
375	C₂×#121	—	151	2	no	—
376	#518	—	151	1	no	—
377	#518	D₁₅₁	1	1	yes	characteristic, complemented
378	C₂×C₄×D₄	—	151	1	no	—
379	C₂×#41	—	151	2	no	—
380	C₂×#41	—	151	2	no	—
381	C₂²×D₄	—	151	1	no	—
382	C₂²×D₄	—	151	1	no	—
383	C₂²×D₄	—	151	2	no	—
384	C₂²×D₄	—	151	2	no	—
385	C₂²×D₄	—	151	2	no	—
386	C₂²×D₄	C₂×D₁₅₁	1	1	yes	characteristic
387	C₂³×C₄	—	151	2	no	—
388	C₄⋊Q₈	—	151	1	no	—
389	#127	—	151	1	no	—
390	#127	—	151	1	no	—
391	#127	—	151	1	no	—
392	#126	—	151	1	no	—
393	#126	—	151	1	no	—
394	#126	—	151	2	no	—
395	#126	—	151	2	no	—
396	#125	—	151	1	no	—
397	#125	—	151	1	no	—
398	#125	—	151	1	no	—
399	#124	—	151	1	no	—
400	#124	—	151	2	no	—
401	#124	—	151	2	no	—
402	#124	—	151	2	no	—
403	#123	—	151	2	no	—
404	#123	—	151	2	no	—
405	#123	—	151	2	no	—
406	#123	—	151	1	no	—
407	#123	—	151	2	no	—
408	#123	—	151	2	no	—
409	#123	—	151	1	no	—
410	#123	—	151	2	no	—
411	C₂²⋊Q₈	—	151	2	no	—
412	C₂²⋊Q₈	—	151	1	no	—
413	C₂²⋊Q₈	—	151	2	no	—
414	C₂²⋊Q₈	—	151	2	no	—
415	#121	—	151	2	no	—
416	#121	—	151	1	no	—
417	#121	—	151	2	no	—
418	#121	—	151	1	no	—
419	#121	—	151	2	no	—
420	#121	—	151	2	no	—
421	#121	—	151	1	no	—
422	#121	—	151	1	no	—
423	#121	—	151	2	no	—
424	#121	—	151	1	no	—
425	#121	—	151	1	no	—
426	#121	—	151	1	no	—
427	#121	—	151	2	no	—
428	#121	—	151	2	no	—
429	#121	—	151	2	no	—
430	#121	—	151	2	no	—
431	#121	—	151	2	no	—
432	#121	—	151	2	no	—
433	#121	—	151	2	no	—
434	#121	—	151	2	no	—
435	#121	—	151	2	no	—
436	#120	—	151	2	no	—
437	#120	—	151	2	no	—
438	#120	—	151	2	no	—
439	#120	—	151	2	no	—
440	#120	—	151	2	no	—
441	#120	—	151	2	no	—
442	C₄×Q₈	—	151	1	no	—
443	C₄×D₄	—	151	1	no	—
444	C₄×D₄	—	151	1	no	—
445	C₄×D₄	—	151	2	no	—
446	C₄×D₄	—	151	2	no	—
447	C₄×D₄	—	151	2	no	—
448	C₄×D₄	—	151	1	no	—
449	C₄×D₄	—	151	1	no	—
450	C₄×D₄	—	151	2	no	—
451	C₄×D₄	—	151	1	no	—
452	C₄×D₄	—	151	1	no	—
453	C₄×D₄	—	151	2	no	—
454	C₄×D₄	—	151	2	no	—
455	C₄×D₄	—	151	1	no	—
456	C₄×D₄	—	151	1	no	—
457	C₄×D₄	—	151	2	no	—
458	C₄×D₄	—	151	1	no	—
459	C₄×D₄	C₂×D₁₅₁	1	1	yes	characteristic
460	C₄×D₄	C₂×D₁₅₁	1	1	yes	characteristic
461	C₄×D₄	C₂×D₁₅₁	1	2	yes	complemented
462	C₄×D₄	C₂×D₁₅₁	1	1	yes	characteristic, complemented
463	C₄×D₄	C₂×D₁₅₁	1	2	yes	complemented
464	C₄×D₄	C₂×D₁₅₁	1	1	yes	characteristic, complemented
465	#117	—	151	1	no	—
466	#117	—	151	1	no	—
467	#117	—	151	2	no	—
468	#117	C₂×D₁₅₁	1	1	yes	characteristic, complemented
469	#117	C₂×D₁₅₁	1	1	yes	characteristic, complemented
470	C₂×C₄⋊C₄	—	151	2	no	—
471	C₂×C₄⋊C₄	—	151	1	no	—
472	C₂×C₂²⋊C₄	—	151	2	no	—
473	C₂×C₂²⋊C₄	—	151	2	no	—
474	C₂×C₂²⋊C₄	—	151	2	no	—
475	C₂×C₂²⋊C₄	C₂×D₁₅₁	1	2	yes	complemented
476	C₂×C₂²⋊C₄	C₂×D₁₅₁	1	2	yes	complemented
477	C₂×C₄²	—	151	1	no	—
478	C₂⁴	—	151	2	no	—
479	C₂⁴	—	151	2	no	—
480	C₂⁴	C₂²×D₁₅₁	1	2	yes	—
481	#41	—	604	4	no	—
482	#41	—	604	4	no	—
483	C₂×Q₈	—	151	1	no	—
484	C₂×Q₈	—	151	2	no	—
485	C₂×D₄	—	2	4	no	—
486	C₂×D₄	—	302	4	no	—
487	C₂×D₄	—	302	4	no	—
488	C₂×D₄	—	604	4	no	—
489	C₂×D₄	—	604	4	no	—
490	C₂×D₄	—	604	4	no	—
491	C₂×D₄	—	151	2	no	—
492	C₂×D₄	—	151	2	no	—
493	C₂×D₄	—	151	2	no	—
494	C₂×D₄	—	151	1	no	—
495	C₂×D₄	—	151	1	no	—
496	C₂×D₄	—	151	2	no	—
497	C₂×D₄	—	151	2	no	—
498	C₂×D₄	—	151	2	no	—
499	C₂×D₄	—	151	2	no	—
500	C₂×D₄	—	151	2	no	—
501	C₂×D₄	—	151	2	no	—
502	C₂×D₄	—	151	2	no	—
503	C₂×D₄	—	151	1	no	—
504	C₂×D₄	—	151	1	no	—
505	C₂×D₄	—	151	2	no	—
506	C₂×D₄	—	151	1	no	—
507	C₂×D₄	—	151	2	no	—
508	C₂×D₄	—	151	2	no	—
509	C₂×D₄	—	151	2	no	—
510	C₂×D₄	C₂²×D₁₅₁	1	2	yes	—
511	C₂×D₄	C₂²×D₁₅₁	1	1	yes	characteristic
512	C₂×D₄	C₂²×D₁₅₁	1	1	yes	characteristic
513	C₂²×C₄	—	604	4	no	—
514	C₂²×C₄	—	151	2	no	—
515	C₂²×C₄	—	151	1	no	—
516	C₂²×C₄	—	151	1	no	—
517	C₂²×C₄	—	151	1	no	—
518	C₂²×C₄	—	151	1	no	—
519	C₂²×C₄	—	151	2	no	—
520	C₂²×C₄	—	151	2	no	—
521	C₂²×C₄	—	151	2	no	—
522	C₂²×C₄	—	151	2	no	—
523	C₂²×C₄	—	151	2	no	—
524	C₂²×C₄	—	151	2	no	—
525	C₂²×C₄	C₂²×D₁₅₁	1	1	yes	characteristic
526	C₂²×C₄	C₂²×D₁₅₁	1	2	yes	—
527	C₂²×C₄	C₂²×D₁₅₁	1	2	yes	—
528	C₂²×C₄	C₂²×D₁₅₁	1	2	yes	—
529	C₂²×C₄	C₂²×D₁₅₁	1	2	yes	—
530	C₄⋊C₄	—	151	1	no	—
531	C₄⋊C₄	—	151	2	no	—
532	C₄⋊C₄	—	151	2	no	—
533	C₄⋊C₄	—	151	2	no	—
534	C₄⋊C₄	—	151	2	no	—
535	C₄⋊C₄	—	151	1	no	—
536	C₄⋊C₄	—	151	1	no	—
537	C₄⋊C₄	—	151	1	no	—
538	C₄⋊C₄	—	151	1	no	—
539	C₄⋊C₄	—	151	2	no	—
540	C₄⋊C₄	—	151	1	no	—
541	C₄⋊C₄	—	151	1	no	—
542	C₄⋊C₄	—	151	1	no	—
543	C₄⋊C₄	—	151	1	no	—
544	C₄⋊C₄	—	151	2	no	—
545	C₄⋊C₄	—	151	1	no	—
546	C₄⋊C₄	C₂²×D₁₅₁	1	1	yes	characteristic
547	C₄⋊C₄	C₂²×D₁₅₁	1	1	yes	characteristic
548	C₄⋊C₄	C₂²×D₁₅₁	1	1	yes	characteristic
549	C₄⋊C₄	C₂²×D₁₅₁	1	1	yes	characteristic
550	C₂²⋊C₄	—	151	2	no	—
551	C₂²⋊C₄	—	151	2	no	—
552	C₂²⋊C₄	—	151	1	no	—
553	C₂²⋊C₄	—	151	1	no	—
554	C₂²⋊C₄	—	151	2	no	—
555	C₂²⋊C₄	—	151	2	no	—
556	C₂²⋊C₄	—	151	1	no	—
557	C₂²⋊C₄	—	151	1	no	—
558	C₂²⋊C₄	—	151	2	no	—
559	C₂²⋊C₄	—	151	2	no	—
560	C₂²⋊C₄	—	151	2	no	—
561	C₂²⋊C₄	—	151	2	no	—
562	C₂²⋊C₄	—	151	2	no	—
563	C₂²⋊C₄	—	151	2	no	—
564	C₂²⋊C₄	—	151	2	no	—
565	C₂²⋊C₄	—	151	1	no	—
566	C₂²⋊C₄	—	151	1	no	—
567	C₂²⋊C₄	—	151	1	no	—
568	C₂²⋊C₄	—	151	1	no	—
569	C₂²⋊C₄	—	151	2	no	—
570	C₂²⋊C₄	—	151	2	no	—
571	C₂²⋊C₄	C₂²×D₁₅₁	1	2	yes	—
572	C₂²⋊C₄	C₂²×D₁₅₁	1	1	yes	characteristic
573	C₂²⋊C₄	C₂²×D₁₅₁	1	2	yes	—
574	C₂²⋊C₄	C₂²×D₁₅₁	1	1	yes	characteristic
575	C₂²⋊C₄	C₂²×D₁₅₁	1	2	yes	—
576	C₂²⋊C₄	C₂²×D₁₅₁	1	2	yes	—
577	C₂²⋊C₄	C₂²×D₁₅₁	1	2	yes	—
578	C₄²	—	151	1	no	—
579	C₄²	—	151	1	no	—
580	C₄²	—	151	1	no	—
581	C₄²	—	151	2	no	—
582	C₄²	—	151	1	no	—
583	C₄²	C₂²×D₁₅₁	1	1	yes	characteristic
584	C₄²	C₂²×D₁₅₁	1	2	yes	—
585	C₄²	C₂²×D₁₅₁	1	1	yes	characteristic
586	C₂³	—	2	4	no	—
587	C₂³	—	4	2	no	—
588	C₂³	—	4	2	no	—
589	C₂³	—	302	4	no	—
590	C₂³	—	302	4	no	—
591	C₂³	—	302	4	no	—
592	C₂³	—	604	2	no	—
593	C₂³	—	604	2	no	—
594	C₂³	—	604	2	no	—
595	C₂³	—	151	1	no	—
596	C₂³	—	151	2	no	—
597	C₂³	—	151	2	no	—
598	C₂³	—	151	1	no	—
599	C₂³	C₂³×D₁₅₁	1	1	yes	characteristic
600	C₂³	C₂³×D₁₅₁	1	2	yes	—
601	C₂³	C₂³×D₁₅₁	1	2	yes	—
602	Q₈	—	302	2	no	—
603	Q₈	—	604	2	no	—
604	D₄	—	2	4	no	—
605	D₄	—	2	2	no	—
606	D₄	—	302	2	no	—
607	D₄	—	302	4	no	—
608	D₄	—	302	2	no	—
609	D₄	—	302	4	no	—
610	D₄	—	302	4	no	—
611	D₄	—	302	4	no	—
612	D₄	—	302	2	no	—
613	D₄	—	302	4	no	—
614	D₄	—	302	2	no	—
615	D₄	—	302	2	no	—
616	D₄	—	604	2	no	—
617	D₄	—	604	2	no	—
618	D₄	—	604	2	no	—
619	D₄	—	604	2	no	—
620	D₄	—	604	2	no	—
621	D₄	—	604	2	no	—
622	D₄	—	604	2	no	—
623	D₄	—	604	2	no	—
624	D₄	—	604	2	no	—
625	D₄	#14559004	1	4	yes	complemented
626	C₂×C₄	—	2	2	no	—
627	C₂×C₄	—	4	2	no	—
628	C₂×C₄	—	4	2	no	—
629	C₂×C₄	—	4	2	no	—
630	C₂×C₄	—	4	2	no	—
631	C₂×C₄	—	302	2	no	—
632	C₂×C₄	—	302	2	no	—
633	C₂×C₄	—	302	4	no	—
634	C₂×C₄	—	302	4	no	—
635	C₂×C₄	—	302	2	no	—
636	C₂×C₄	—	302	2	no	—
637	C₂×C₄	—	604	2	no	—
638	C₂×C₄	—	604	2	no	—
639	C₂×C₄	—	604	2	no	—
640	C₂×C₄	—	604	2	no	—
641	C₂×C₄	—	604	2	no	—
642	C₂×C₄	—	151	1	no	—
643	C₂×C₄	—	151	1	no	—
644	C₂×C₄	—	151	1	no	—
645	C₂×C₄	—	151	2	no	—
646	C₂×C₄	—	151	1	no	—
647	C₂×C₄	—	151	1	no	—
648	C₂×C₄	—	151	2	no	—
649	C₂×C₄	—	151	1	no	—
650	C₂×C₄	C₂³×D₁₅₁	1	1	yes	characteristic
651	C₂×C₄	C₂³×D₁₅₁	1	1	yes	characteristic
652	C₂×C₄	C₂³×D₁₅₁	1	2	yes	—
653	C₂×C₄	C₂³×D₁₅₁	1	1	yes	characteristic
654	C₂×C₄	C₂³×D₁₅₁	1	2	yes	—
655	C₂×C₄	C₂³×D₁₅₁	1	1	yes	characteristic
656	C₂×C₄	C₂³×D₁₅₁	1	1	yes	characteristic
657	C₂×C₄	C₂³×D₁₅₁	1	1	yes	characteristic
658	C₂²	—	2	2	no	—
659	C₂²	—	2	2	no	—
660	C₂²	—	2	1	no	—
661	C₂²	—	2	2	no	—
662	C₂²	—	2	2	no	—
663	C₂²	—	2	2	no	—
664	C₂²	—	2	1	no	—
665	C₂²	—	2	1	no	—
666	C₂²	—	8	4	no	—
667	C₂²	—	302	1	no	—
668	C₂²	—	302	1	no	—
669	C₂²	—	302	1	no	—
670	C₂²	—	302	2	no	—
671	C₂²	—	302	2	no	—
672	C₂²	—	302	2	no	—
673	C₂²	—	302	2	no	—
674	C₂²	—	302	2	no	—
675	C₂²	—	302	1	no	—
676	C₂²	—	302	1	no	—
677	C₂²	—	302	2	no	—
678	C₂²	—	604	8	no	—
679	C₂²	—	151	2	no	—
680	C₂²	—	1208	4	no	—
681	C₂²	C₂×#14559004	1	4	yes	—
682	C₂²	C₂⁴×D₁₅₁	1	1	yes	characteristic
683	C₄	—	2	1	no	—
684	C₄	—	2	1	no	—
685	C₄	—	2	1	no	—
686	C₄	—	2	2	no	—
687	C₄	—	2	1	no	—
688	C₄	—	2	2	no	—
689	C₄	—	2	1	no	—
690	C₄	—	302	1	no	—
691	C₄	—	302	1	no	—
692	C₄	—	302	2	no	—
693	C₄	—	302	1	no	—
694	C₄	—	302	1	no	—
695	C₄	—	302	2	no	—
696	C₄	—	302	1	no	—
697	C₄	—	151	2	no	—
698	C₄	C₂×#14559004	1	2	yes	—
699	C₂	—	2	4	no	—
700	C₂	—	4	1	no	—
701	C₂	—	4	2	no	—
702	C₂	—	302	2	no	—
703	C₂	—	604	2	no	—
704	C₂	—	604	1	no	—
705	C₂	—	604	2	no	—
706	C₂	C₂²×#14559004	1	1	yes	characteristic
707	C₂	H(5,𝔽₂)×D₁₅₁	1	1	yes	characteristic
708	C₂	H(5,𝔽₂)×D₁₅₁	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₅₁
commutator, socle, cosocle	C₂²×C₁₅₁	C₂⁵
Fitting	#518×C₁₅₁	C₂
hypercenter	#518	D₁₅₁
hypocenter	C₁₅₁	#3519
LCS	G ▷ C₂²×C₁₅₁ ▷ C₁₅₁
UCS	C₁ ◁ C₂² ◁ #518

Complements

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

N	H ≅ G/N	type
1. #23752925	C₂	semidirect
2. #23752921	C₂	semidirect
3. #23752912	C₂	semidirect
4. #23752911	C₂	semidirect
5. #23752906	C₂	semidirect
6. #23752883	C₂	semidirect
7. #23752858	C₂	semidirect
8. #23752852	C₂	semidirect
9. #23752852	C₂	semidirect
10. D₄×D₆₀₄	C₂	semidirect
11. D₄×C₂²⋊D₁₅₁	C₂	semidirect
12. D₄×C₂²⋊D₁₅₁	C₂	semidirect
13. #23752817	C₂	semidirect
14. #23752813	C₂	semidirect
15. #23752800	C₂	semidirect
16. #23752795	C₂	semidirect
17. #23752759	C₂	semidirect
18. #23752740	C₂	semidirect
19. #23752721	C₂	semidirect
20. C₂×#18012712	C₂	semidirect
21. #23752684	C₂	semidirect
22. C₄×D₄×D₁₅₁	C₂	semidirect
23. #518×C₁₅₁	C₂	semidirect
24. C₂×#14559004	C₂²	semidirect
25. C₂×#14559004	C₂²	semidirect
26. C₂²×D₆₀₄	C₂²	semidirect
27. C₂²×C₂²⋊D₁₅₁	C₂²	semidirect
28. C₂²×C₂²⋊D₁₅₁	C₂²	semidirect
31. C₂²×C₄×D₁₅₁	C₂²	semidirect
32. #18012738	C₂²	semidirect
33. #18012736	C₂²	semidirect
34. #18012735	C₂²	semidirect
35. #18012735	C₂²	semidirect
36. #18012734	C₂²	semidirect
37. #18012733	C₂²	semidirect
38. #18012732	C₂²	semidirect
39. #18012732	C₂²	semidirect
40. #18012731	C₂²	semidirect
41. #18012730	C₂²	semidirect
42. #18012729	C₂²	semidirect
43. #18012727	C₂²	semidirect
44. #18012725	C₂²	semidirect
45. #18012725	C₂²	semidirect
46. #18012725	C₂²	semidirect
47. #18012724	C₂²	semidirect
48. #18012724	C₂²	semidirect
49. #18012724	C₂²	semidirect
50. #18012722	C₂²	semidirect
51. #18012722	C₂²	semidirect
52. #18012721	C₂²	semidirect
53. #18012721	C₂²	semidirect
54. #18012721	C₂²	semidirect
55. #18012718	C₂²	semidirect
56. #18012717	C₂²	semidirect
57. #18012716	C₂²	semidirect
58. #18012716	C₂²	semidirect
59. #18012714	C₂²	semidirect
60. #18012714	C₂²	semidirect
61. #18012713	C₂²	semidirect
62. #18012713	C₂²	semidirect
63. #18012713	C₂²	semidirect
64. #18012713	C₂²	semidirect
65. #18012713	C₂²	semidirect
67. #18012712	C₂²	semidirect
68. #18012712	C₂²	semidirect
69. #18012712	C₂²	semidirect
70. #18012712	C₂²	semidirect
71. #18012712	C₂²	semidirect
72. #18012712	C₂²	semidirect
73. #18012712	C₂²	semidirect
74. #18012712	C₂²	semidirect
75. #18012712	C₂²	semidirect
76. #18012711	C₂²	semidirect
77. #18012711	C₂²	semidirect
78. #18012710	C₂²	semidirect
79. #18012710	C₂²	semidirect
80. #18012709	C₂²	semidirect
81. #18012709	C₂²	semidirect
82. #18012708	C₂²	semidirect
83. #18012708	C₂²	semidirect
84. #18012707	C₂²	semidirect
85. #18012707	C₂²	semidirect
86. C₄×Dic₃₀₂	C₂²	semidirect
87. C₄×D₆₀₄	C₂²	semidirect
88. C₄×D₆₀₄	C₂²	semidirect
89. C₄×D₆₀₄	C₂²	semidirect
90. C₄×D₆₀₄	C₂²	semidirect
93. #18012701	C₂²	semidirect
94. #18012701	C₂²	semidirect
95. C₄×C₂²⋊D₁₅₁	C₂²	semidirect
96. C₄×C₂²⋊D₁₅₁	C₂²	semidirect
97. C₄×C₂²⋊D₁₅₁	C₂²	semidirect
98. C₄×C₂²⋊D₁₅₁	C₂²	semidirect
99. C₄×C₂²⋊D₁₅₁	C₂²	semidirect
100. C₄×C₂²⋊D₁₅₁	C₂²	semidirect
101. (C₂²⋊D₁₅₁)⋊C₄	C₂²	semidirect
102. (C₂²⋊D₁₅₁)⋊C₄	C₂²	semidirect
103. #18012697	C₂²	semidirect
104. #18012696	C₂²	semidirect
105. #18012696	C₂²	semidirect
106. C₂×Dic₁₅₁⋊C₄	C₂²	semidirect
107. C₄⋊C₄×D₁₅₁	C₂²	semidirect
108. C₂×(C₂×D₁₅₁)⋊C₄	C₂²	semidirect
109. C₂²⋊C₄×D₁₅₁	C₂²	semidirect
110. C₂²⋊C₄×D₁₅₁	C₂²	semidirect
111. C₄²×D₁₅₁	C₂²	semidirect
115. C₄×D₄×C₁₅₁	C₂²	semidirect
116. C₄×D₄×C₁₅₁	C₂²	semidirect
117. C₄×D₄×C₁₅₁	C₂²	semidirect
118. C₄×D₄×C₁₅₁	C₂²	semidirect
119. #117×C₁₅₁	C₂²	semidirect
120. #117×C₁₅₁	C₂²	semidirect
121. C₂×C₂²⋊C₄×C₁₅₁	C₂²	semidirect
122. C₂×C₂²⋊C₄×C₁₅₁	C₂²	semidirect
289. D₄×C₁₅₁	#41	semidirect
354. C₁₅₁	#3519	semidirect
377. #518	D₁₅₁	semidirect
461. C₄×D₄	C₂×D₁₅₁	semidirect
462. C₄×D₄	C₂×D₁₅₁	semidirect
463. C₄×D₄	C₂×D₁₅₁	semidirect
464. C₄×D₄	C₂×D₁₅₁	semidirect
468. #117	C₂×D₁₅₁	semidirect
469. #117	C₂×D₁₅₁	semidirect
475. C₂×C₂²⋊C₄	C₂×D₁₅₁	semidirect
476. C₂×C₂²⋊C₄	C₂×D₁₅₁	semidirect
625. D₄	#14559004	semidirect

Maximal subgroups

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

subgroup	index
#23752925	2
#23752921	2
#23752912	2
#23752911	2
#23752906	2
#23752883	2
#23752858	2
#23752852	2
D₄×D₆₀₄	2
D₄×C₂²⋊D₁₅₁	2
#23752817	2
#23752813	2
#23752800	2
#23752795	2
#23752759	2
#23752740	2
#23752721	2
C₂×#18012712	2
#23752684	2
C₄×D₄×D₁₅₁	2
#518×C₁₅₁	2
#3519	151