Subgroups — #34082781

Order 19328.

1522 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#18012786	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#14559003	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×Dic₃₀₂	C₂	1	1	yes	maximal, characteristic, complemented
4	#23752875	C₂	1	1	yes	maximal, characteristic, complemented
5	#23752870	C₂	1	1	yes	maximal, characteristic, complemented
6	#23752868	C₂	1	1	yes	maximal, characteristic, complemented
7	#23752866	C₂	1	1	yes	maximal, characteristic, complemented
8	#23752862	C₂	1	2	yes	maximal, complemented
9	#23752861	C₂	1	1	yes	maximal, characteristic, complemented
10	#23752860	C₂	1	2	yes	maximal, complemented
11	#23752856	C₂	1	1	yes	maximal, characteristic, complemented
12	#23752852	C₂	1	2	yes	maximal, complemented
13	#23752849	C₂	1	2	yes	maximal, complemented
14	#23752791	C₂	1	1	yes	maximal, characteristic, complemented
15	#23752789	C₂	1	2	yes	maximal, complemented
16	#23752784	C₂	1	2	yes	maximal, complemented
17	#23752782	C₂	1	1	yes	maximal, characteristic, complemented
18	#23752721	C₂	1	1	yes	maximal, characteristic, complemented
19	#23752718	C₂	1	2	yes	maximal, complemented
20	C₂×#18012716	C₂	1	2	yes	maximal, complemented
21	C₂²⋊Q₈×D₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
22	#23752691	C₂	1	1	yes	maximal, characteristic, complemented
23	#546×C₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
24	#18012786	—	2	8	no	—
25	C₂×#14559004	C₂²	1	1	yes	characteristic, complemented
26	C₂×#14559004	C₂²	1	2	yes	complemented
27	C₂×#14559003	—	2	8	no	—
28	C₂×#14559003	C₂²	1	1	yes	characteristic
29	C₂×#14559003	C₂²	1	2	yes	—
30	C₂×#14559003	C₂²	1	2	yes	—
31	C₂×#14559003	C₂²	1	1	yes	characteristic
32	C₂×#14559003	C₂²	1	1	yes	characteristic
33	C₂×#14559003	C₂²	1	1	yes	characteristic
34	C₂×#14559003	C₂²	1	2	yes	complemented
35	C₂×#14559003	C₂²	1	2	yes	complemented
36	C₂×#14559003	C₂²	1	1	yes	characteristic, complemented
37	C₂²×Dic₃₀₂	C₂²	1	1	yes	characteristic
38	C₂²×Dic₃₀₂	C₂²	1	2	yes	complemented
39	C₂²×Dic₃₀₂	C₂²	1	1	yes	characteristic, complemented
40	C₂×Q₈×D₁₅₁	C₂²	1	1	yes	characteristic, complemented
41	C₂×Q₈×D₁₅₁	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₂²⋊D₁₅₁	C₂²	1	2	yes	—
43	C₂³×Dic₁₅₁	C₂²	1	2	yes	—
44	C₂²×C₄×D₁₅₁	C₂²	1	1	yes	characteristic
45	#18012739	C₂²	1	1	yes	characteristic, complemented
46	#18012738	C₂²	1	2	yes	complemented
47	#18012738	C₂²	1	2	yes	complemented
48	#18012737	C₂²	1	1	yes	characteristic, complemented
49	#18012726	C₂²	1	1	yes	characteristic, complemented
50	#18012725	C₂²	1	2	yes	complemented
51	#18012725	C₂²	1	2	yes	complemented
52	#18012724	C₂²	1	1	yes	characteristic, complemented
53	#18012723	C₂²	1	2	yes	complemented
54	#18012723	C₂²	1	2	yes	complemented
55	#18012722	C₂²	1	2	yes	complemented
56	#18012721	C₂²	1	1	yes	characteristic, complemented
57	#18012721	C₂²	1	2	yes	complemented
58	#18012721	C₂²	1	2	yes	complemented
59	#18012720	C₂²	1	2	yes	complemented
60	#18012720	C₂²	1	2	yes	complemented
61	#18012719	C₂²	1	1	yes	characteristic, complemented
62	#18012719	C₂²	1	1	yes	characteristic, complemented
63	#18012718	C₂²	1	1	yes	characteristic
64	#18012718	C₂²	1	1	yes	characteristic, complemented
65	#18012717	C₂²	1	2	yes	complemented
66	#18012717	C₂²	1	1	yes	characteristic, complemented
67	#18012717	C₂²	1	2	yes	complemented
68	#18012716	C₂²	1	2	yes	—
69	#18012716	C₂²	1	1	yes	characteristic
70	#18012716	C₂²	1	2	yes	—
71	#18012716	C₂²	1	2	yes	—
72	#18012716	C₂²	1	2	yes	complemented
73	#18012716	C₂²	1	2	yes	complemented
74	#18012716	C₂²	1	2	yes	complemented
75	#18012716	C₂²	1	2	yes	complemented
76	#18012716	C₂²	1	2	yes	complemented
77	#18012716	C₂²	1	2	yes	complemented
78	#18012715	C₂²	1	1	yes	characteristic, complemented
79	#18012713	C₂²	1	2	yes	complemented
80	#18012712	C₂²	1	1	yes	characteristic, complemented
81	#18012712	C₂²	1	2	yes	complemented
82	#18012712	C₂²	1	2	yes	complemented
83	#18012711	C₂²	1	1	yes	characteristic
84	#18012711	C₂²	1	2	yes	complemented
85	#18012711	C₂²	1	2	yes	complemented
86	#18012711	C₂²	1	2	yes	complemented
87	#18012711	C₂²	1	2	yes	complemented
88	#18012710	C₂²	1	2	yes	complemented
89	#18012710	C₂²	1	1	yes	characteristic, complemented
90	#18012709	C₂²	1	1	yes	characteristic
91	#18012708	C₂²	1	2	yes	—
92	#18012707	C₂²	1	1	yes	characteristic
93	C₄×Dic₃₀₂	C₂²	1	1	yes	characteristic, complemented
94	#18012704	C₂²	1	1	yes	characteristic, complemented
95	C₄×D₆₀₄	C₂²	1	1	yes	characteristic, complemented
96	D₄×Dic₁₅₁	C₂²	1	2	yes	—
97	D₄×Dic₁₅₁	C₂²	1	2	yes	complemented
98	D₄×Dic₁₅₁	C₂²	1	1	yes	characteristic, complemented
99	C₄×C₂²⋊D₁₅₁	C₂²	1	1	yes	characteristic
100	C₄×C₂²⋊D₁₅₁	C₂²	1	1	yes	characteristic, complemented
101	C₄×C₂²⋊D₁₅₁	C₂²	1	2	yes	complemented
102	(C₂²⋊D₁₅₁)⋊C₄	C₂²	1	2	yes	—
103	(C₂²⋊D₁₅₁)⋊C₄	C₂²	1	2	yes	complemented
104	(C₂²⋊D₁₅₁)⋊C₄	C₂²	1	2	yes	complemented
105	#18012696	C₂²	1	1	yes	characteristic, complemented
106	#18012695	C₂²	1	2	yes	complemented
107	C₂×C₄⋊Dic₁₅₁	C₂²	1	2	yes	complemented
108	C₂×Dic₁₅₁⋊C₄	C₂²	1	2	yes	complemented
109	C₂×Dic₁₅₁⋊C₄	C₂²	1	2	yes	complemented
110	C₄⋊C₄×D₁₅₁	C₂²	1	1	yes	characteristic, complemented
111	C₄⋊C₄×D₁₅₁	C₂²	1	2	yes	complemented
112	C₂×C₂²⋊Dic₁₅₁	C₂²	1	2	yes	—
113	C₂²⋊C₄×D₁₅₁	C₂²	1	2	yes	—
114	C₂×#41×C₁₅₁	C₂²	1	1	yes	characteristic, complemented
115	C₂²×D₄×C₁₅₁	C₂²	1	1	yes	characteristic
116	#124×C₁₅₁	C₂²	1	1	yes	characteristic, complemented
117	#123×C₁₅₁	C₂²	1	2	yes	complemented
118	C₂²⋊Q₈×C₁₅₁	C₂²	1	1	yes	characteristic
119	#121×C₁₅₁	C₂²	1	2	yes	complemented
120	#121×C₁₅₁	C₂²	1	1	yes	characteristic, complemented
121	#120×C₁₅₁	C₂²	1	2	yes	—
122	C₄×D₄×C₁₅₁	C₂²	1	1	yes	characteristic
123	C₄×D₄×C₁₅₁	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₂²⋊C₄×C₁₅₁	C₂²	1	2	yes	—
125	C₂³×D₁₅₁	C₂³	1	1	yes	characteristic
126	#14559004	—	2	8	no	—
127	#14559004	—	2	4	no	—
128	#14559003	—	2	4	no	—
129	#14559003	—	2	8	no	—
130	#14559003	—	2	8	no	—
131	#14559003	—	2	8	no	—
132	#14559003	—	2	8	no	—
133	#14559003	—	2	4	no	—
134	#14559003	—	2	4	no	—
135	#14559003	—	2	4	no	—
136	#14559003	D₄	1	8	yes	complemented
137	C₂×Dic₃₀₂	—	2	4	no	—
138	C₂×Dic₃₀₂	—	2	4	no	—
139	C₂×Dic₃₀₂	—	2	8	no	—
140	C₂×Dic₃₀₂	C₂³	1	2	yes	—
141	C₂×Dic₃₀₂	C₂³	1	1	yes	characteristic
142	C₂×Dic₃₀₂	C₂³	1	2	yes	—
143	C₂×Dic₃₀₂	C₂³	1	2	yes	—
144	C₂×Dic₃₀₂	C₂³	1	2	yes	—
145	C₂×Dic₃₀₂	C₂³	1	1	yes	characteristic
146	C₂×Dic₃₀₂	C₂³	1	1	yes	characteristic
147	C₂×Dic₃₀₂	C₂³	1	1	yes	characteristic
148	Q₈×D₁₅₁	—	2	4	no	—
149	Q₈×D₁₅₁	—	2	4	no	—
150	C₂×D₆₀₄	C₂³	1	1	yes	characteristic
151	C₂×D₆₀₄	C₂³	1	1	yes	characteristic
152	C₂×C₂²⋊D₁₅₁	—	2	8	no	—
153	C₂×C₂²⋊D₁₅₁	C₂³	1	1	yes	characteristic
154	C₂×C₂²⋊D₁₅₁	C₂³	1	1	yes	characteristic
155	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
156	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
157	C₂×C₂²⋊D₁₅₁	C₂³	1	1	yes	characteristic
158	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
159	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
160	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
161	C₂×C₂²⋊D₁₅₁	C₂³	1	1	yes	characteristic
162	C₂×C₂²⋊D₁₅₁	C₂³	1	2	yes	—
163	C₂²×Dic₁₅₁	—	2	8	no	—
164	C₂²×Dic₁₅₁	C₂³	1	2	yes	—
165	C₂²×Dic₁₅₁	C₂³	1	2	yes	—
166	C₂²×Dic₁₅₁	C₂³	1	2	yes	—
167	C₂²×Dic₁₅₁	C₂³	1	2	yes	—
168	C₂²×Dic₁₅₁	C₂³	1	2	yes	—
169	C₂²×Dic₁₅₁	C₂³	1	1	yes	characteristic
170	C₂²×Dic₁₅₁	C₂³	1	2	yes	—
171	C₂²×Dic₁₅₁	C₂³	1	2	yes	—
172	C₂²×Dic₁₅₁	C₂³	1	2	yes	—
173	C₂×C₄×D₁₅₁	—	2	4	no	—
174	C₂×C₄×D₁₅₁	C₂³	1	2	yes	—
175	C₂×C₄×D₁₅₁	C₂³	1	1	yes	characteristic
176	C₂×C₄×D₁₅₁	C₂³	1	2	yes	—
177	C₂×C₄×D₁₅₁	C₂³	1	1	yes	characteristic
178	C₂×C₄×D₁₅₁	C₂³	1	1	yes	characteristic
179	C₂×C₄×D₁₅₁	C₂³	1	1	yes	characteristic
180	C₂×C₄×D₁₅₁	C₂³	1	2	yes	—
181	C₂×C₄×D₁₅₁	C₂³	1	1	yes	characteristic
182	C₄⋊Dic₁₅₁	C₂³	1	2	yes	—
183	C₄⋊Dic₁₅₁	C₂³	1	1	yes	characteristic
184	C₄⋊Dic₁₅₁	C₂³	1	1	yes	characteristic
185	C₄⋊Dic₁₅₁	C₂³	1	2	yes	—
186	C₄⋊Dic₁₅₁	C₂³	1	2	yes	—
187	C₄⋊Dic₁₅₁	C₂³	1	2	yes	—
188	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
189	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
190	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
191	Dic₁₅₁⋊C₄	C₂³	1	1	yes	characteristic
192	Dic₁₅₁⋊C₄	C₂³	1	1	yes	characteristic
193	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
194	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
195	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
196	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
197	Dic₁₅₁⋊C₄	C₂³	1	1	yes	characteristic
198	Dic₁₅₁⋊C₄	C₂³	1	2	yes	—
199	Dic₁₅₁⋊C₄	C₂³	1	1	yes	characteristic
200	C₂²⋊Dic₁₅₁	C₂³	1	2	yes	—
201	C₂²⋊Dic₁₅₁	C₂³	1	1	yes	characteristic
202	C₂²⋊Dic₁₅₁	C₂³	1	2	yes	—
203	C₂²⋊Dic₁₅₁	C₂³	1	2	yes	—
204	C₂²⋊Dic₁₅₁	C₂³	1	2	yes	—
205	C₂²⋊Dic₁₅₁	C₂³	1	1	yes	characteristic
206	C₂²⋊Dic₁₅₁	C₂³	1	2	yes	—
207	C₂²⋊Dic₁₅₁	C₂³	1	2	yes	—
208	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
209	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
210	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
211	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
212	(C₂×D₁₅₁)⋊C₄	C₂³	1	2	yes	—
213	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
214	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
215	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
216	(C₂×D₁₅₁)⋊C₄	C₂³	1	1	yes	characteristic
217	C₄×Dic₁₅₁	C₂³	1	2	yes	—
218	C₄×Dic₁₅₁	C₂³	1	2	yes	—
219	C₄×Dic₁₅₁	C₂³	1	1	yes	characteristic
220	C₂⁴×C₁₅₁	C₂³	1	2	yes	—
221	#41×C₁₅₁	—	2	4	no	—
222	C₂×Q₈×C₁₅₁	C₂³	1	1	yes	characteristic
223	C₂×D₄×C₁₅₁	—	2	4	no	—
224	C₂×D₄×C₁₅₁	C₂³	1	1	yes	characteristic
225	C₂×D₄×C₁₅₁	C₂³	1	1	yes	characteristic
226	C₂×D₄×C₁₅₁	C₂³	1	2	yes	—
227	C₂×D₄×C₁₅₁	C₂³	1	2	yes	—
228	C₂×D₄×C₁₅₁	C₂³	1	2	yes	—
229	C₂×D₄×C₁₅₁	C₂³	1	1	yes	characteristic
230	C₂²×C₄×C₁₅₁	C₂³	1	2	yes	—
231	C₂²×C₄×C₁₅₁	C₂³	1	1	yes	characteristic
232	C₂²×C₄×C₁₅₁	C₂³	1	1	yes	characteristic
233	C₂²×C₄×C₁₅₁	C₂³	1	2	yes	—
234	C₄⋊C₄×C₁₅₁	C₂³	1	1	yes	characteristic
235	C₄⋊C₄×C₁₅₁	C₂³	1	2	yes	—
236	C₄⋊C₄×C₁₅₁	C₂³	1	1	yes	characteristic
237	C₂²⋊C₄×C₁₅₁	C₂³	1	2	yes	—
238	C₂²⋊C₄×C₁₅₁	C₂³	1	2	yes	—
239	C₂²⋊C₄×C₁₅₁	C₂³	1	2	yes	—
240	C₂²⋊C₄×C₁₅₁	C₂³	1	1	yes	characteristic
241	C₂²⋊C₄×C₁₅₁	C₂³	1	2	yes	—
242	C₂²⋊C₄×C₁₅₁	C₂³	1	1	yes	characteristic
243	C₂²⋊C₄×C₁₅₁	C₂³	1	2	yes	—
244	C₄²×C₁₅₁	C₂³	1	1	yes	characteristic
245	C₂²×D₁₅₁	—	2	2	no	—
246	C₂²×D₁₅₁	—	2	2	no	—
247	C₂²×D₁₅₁	—	4	1	no	—
248	C₂²×D₁₅₁	C₂⁴	1	1	yes	characteristic
249	C₂²×D₁₅₁	C₂⁴	1	1	yes	characteristic
250	C₂²×D₁₅₁	C₂⁴	1	1	yes	characteristic
251	Dic₃₀₂	—	2	2	no	—
252	Dic₃₀₂	—	2	2	no	—
253	Dic₃₀₂	—	2	4	no	—
254	Dic₃₀₂	—	2	4	no	—
255	Dic₃₀₂	—	2	2	no	—
256	Dic₃₀₂	—	2	4	no	—
257	Dic₃₀₂	—	2	4	no	—
258	Dic₃₀₂	C₂×D₄	1	4	yes	—
259	D₆₀₄	—	2	2	no	—
260	D₆₀₄	—	4	1	no	—
261	C₂²⋊D₁₅₁	—	2	4	no	—
262	C₂²⋊D₁₅₁	—	2	4	no	—
263	C₂²⋊D₁₅₁	—	2	2	no	—
264	C₂²⋊D₁₅₁	—	2	4	no	—
265	C₂²⋊D₁₅₁	—	2	2	no	—
266	C₂²⋊D₁₅₁	—	2	4	no	—
267	C₂²⋊D₁₅₁	—	2	2	no	—
268	C₂²⋊D₁₅₁	—	4	2	no	—
269	C₂²⋊D₁₅₁	—	4	1	no	—
270	C₂²⋊D₁₅₁	C₂×D₄	1	8	yes	—
271	C₂×Dic₁₅₁	—	2	4	no	—
272	C₂×Dic₁₅₁	—	2	4	no	—
273	C₂×Dic₁₅₁	—	2	2	no	—
274	C₂×Dic₁₅₁	—	2	4	no	—
275	C₂×Dic₁₅₁	—	2	4	no	—
276	C₂×Dic₁₅₁	—	2	4	no	—
277	C₂×Dic₁₅₁	—	2	4	no	—
278	C₂×Dic₁₅₁	—	4	2	no	—
279	C₂×Dic₁₅₁	C₂×D₄	1	8	yes	—
280	C₂×Dic₁₅₁	C₂⁴	1	1	yes	characteristic
281	C₂×Dic₁₅₁	C₂⁴	1	1	yes	characteristic
282	C₂×Dic₁₅₁	C₂⁴	1	2	yes	—
283	C₂×Dic₁₅₁	C₂⁴	1	2	yes	—
284	C₂×Dic₁₅₁	C₂⁴	1	1	yes	characteristic
285	C₂×Dic₁₅₁	C₂⁴	1	1	yes	characteristic
286	C₂×Dic₁₅₁	C₂⁴	1	2	yes	—
287	C₂×Dic₁₅₁	C₂⁴	1	2	yes	—
288	C₂×Dic₁₅₁	C₂⁴	1	1	yes	characteristic
289	C₄×D₁₅₁	—	2	2	no	—
290	C₄×D₁₅₁	—	2	4	no	—
291	C₄×D₁₅₁	—	2	2	no	—
292	C₄×D₁₅₁	—	2	2	no	—
293	C₄×D₁₅₁	—	2	2	no	—
294	C₄×D₁₅₁	—	2	4	no	—
295	C₄×D₁₅₁	—	4	2	no	—
296	C₄×D₁₅₁	C₂×D₄	1	4	yes	—
297	C₂³×C₁₅₁	—	2	4	no	—
298	C₂³×C₁₅₁	—	2	4	no	—
299	C₂³×C₁₅₁	—	4	2	no	—
300	C₂³×C₁₅₁	C₂⁴	1	2	yes	—
301	C₂³×C₁₅₁	C₂⁴	1	1	yes	characteristic
302	C₂³×C₁₅₁	C₂⁴	1	2	yes	—
303	C₂³×C₁₅₁	C₂⁴	1	1	yes	characteristic
304	Q₈×C₁₅₁	—	2	2	no	—
305	D₄×C₁₅₁	—	2	4	no	—
306	D₄×C₁₅₁	—	2	4	no	—
307	D₄×C₁₅₁	—	2	2	no	—
308	D₄×C₁₅₁	—	2	2	no	—
309	D₄×C₁₅₁	—	4	2	no	—
310	D₄×C₁₅₁	C₂×D₄	1	4	yes	—
311	C₂×C₄×C₁₅₁	—	2	4	no	—
312	C₂×C₄×C₁₅₁	—	2	2	no	—
313	C₂×C₄×C₁₅₁	—	2	2	no	—
314	C₂×C₄×C₁₅₁	—	4	2	no	—
315	C₂×C₄×C₁₅₁	C₂⁴	1	2	yes	—
316	C₂×C₄×C₁₅₁	C₂⁴	1	1	yes	characteristic
317	C₂×C₄×C₁₅₁	C₂⁴	1	2	yes	—
318	C₂×C₄×C₁₅₁	C₂⁴	1	1	yes	characteristic
319	C₂×C₄×C₁₅₁	C₂⁴	1	1	yes	characteristic
320	C₂×C₄×C₁₅₁	C₂⁴	1	1	yes	characteristic
321	C₂×C₄×C₁₅₁	C₂⁴	1	1	yes	characteristic
322	C₂²×C₁₅₁	—	2	1	no	—
323	C₂²×C₁₅₁	—	2	2	no	—
324	C₂²×C₁₅₁	—	2	2	no	—
325	C₂²×C₁₅₁	—	2	1	no	—
326	C₂²×C₁₅₁	—	2	1	no	—
327	C₂²×C₁₅₁	—	2	2	no	—
328	C₂²×C₁₅₁	—	2	1	no	—
329	C₂²×C₁₅₁	—	2	2	no	—
330	C₂²×C₁₅₁	—	2	1	no	—
331	C₂²×C₁₅₁	—	2	2	no	—
332	C₂²×C₁₅₁	—	4	8	no	—
333	C₂²×C₁₅₁	C₂²×D₄	1	4	yes	—
334	C₂²×C₁₅₁	2₋¹⁺⁴	1	2	yes	complemented
335	C₂²×C₁₅₁	C₂⁵	1	1	yes	characteristic
336	C₂×D₁₅₁	—	2	1	no	—
337	C₂×D₁₅₁	—	2	1	no	—
338	C₂×D₁₅₁	—	2	1	no	—
339	C₂×D₁₅₁	—	2	1	no	—
340	C₂×D₁₅₁	—	2	1	no	—
341	C₂×D₁₅₁	—	2	1	no	—
342	C₂×D₁₅₁	—	2	1	no	—
343	C₂×D₁₅₁	—	2	1	no	—
344	C₂×D₁₅₁	—	4	4	no	—
345	C₂×D₁₅₁	C₂²×D₄	1	2	yes	—
346	C₄×C₁₅₁	—	2	1	no	—
347	C₄×C₁₅₁	—	2	1	no	—
348	C₄×C₁₅₁	—	2	2	no	—
349	C₄×C₁₅₁	—	2	1	no	—
350	C₄×C₁₅₁	—	2	1	no	—
351	C₄×C₁₅₁	—	2	2	no	—
352	C₄×C₁₅₁	C₂²×D₄	1	2	yes	—
353	Dic₁₅₁	—	2	1	no	—
354	Dic₁₅₁	—	2	2	no	—
355	Dic₁₅₁	—	2	1	no	—
356	Dic₁₅₁	—	2	2	no	—
357	Dic₁₅₁	—	2	1	no	—
358	Dic₁₅₁	—	2	2	no	—
359	Dic₁₅₁	—	2	1	no	—
360	Dic₁₅₁	C₂²×D₄	1	2	yes	—
361	Dic₁₅₁	C₂²×D₄	1	4	yes	—
362	C₂×C₁₅₁	—	2	2	no	—
363	C₂×C₁₅₁	—	2	4	no	—
364	C₂×C₁₅₁	—	4	1	no	—
365	C₂×C₁₅₁	—	4	2	no	—
366	C₂×C₁₅₁	C₂³×D₄	1	1	yes	characteristic
367	C₂×C₁₅₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
368	C₂×C₁₅₁	#585	1	1	yes	characteristic
369	D₁₅₁	—	2	2	no	—
370	D₁₅₁	—	4	1	no	—
371	D₁₅₁	—	4	1	no	—
372	C₁₅₁	#3489	1	1	yes	characteristic, complemented, Sylow
373	#3489	—	151	1	no	maximal, Sylow
374	C₂×2₋¹⁺⁴	—	151	1	no	—
375	C₂²×#41	—	151	1	no	—
376	D₄×Q₈	—	151	1	no	—
377	D₄×Q₈	—	151	1	no	—
378	#548	—	151	1	no	—
379	#548	—	151	1	no	—
380	#547	—	151	1	no	—
381	#547	—	151	2	no	—
382	#547	—	151	2	no	—
383	#547	—	151	1	no	—
384	#546	—	151	1	no	—
385	#546	—	151	2	no	—
386	#546	—	151	2	no	—
387	#546	D₁₅₁	1	1	yes	characteristic, complemented
388	#537	—	151	2	no	—
389	#537	—	151	1	no	—
390	#536	—	151	1	no	—
391	#536	—	151	2	no	—
392	#525	—	151	2	no	—
393	#525	—	151	1	no	—
394	C₂×C₂²⋊Q₈	—	151	1	no	—
395	C₂×C₂²⋊Q₈	—	151	2	no	—
396	#520	—	151	1	no	—
397	2₋¹⁺⁴	—	302	8	no	—
398	C₂×#41	—	302	8	no	—
399	C₂×#41	—	151	2	no	—
400	C₂×#41	—	151	1	no	—
401	C₂×#41	—	151	2	no	—
402	C₂×#41	—	151	1	no	—
403	C₂×#41	—	151	2	no	—
404	C₂×#41	—	151	1	no	—
405	C₂×#41	—	151	2	no	—
406	C₂×#41	—	151	1	no	—
407	C₂×#41	—	151	1	no	—
408	C₂×#41	—	151	1	no	—
409	C₂×#41	—	151	2	no	—
410	C₂×#41	C₂×D₁₅₁	1	1	yes	characteristic, complemented
411	C₂²×Q₈	—	151	1	no	—
412	C₂²×Q₈	—	151	1	no	—
413	C₂²×Q₈	—	151	2	no	—
414	C₂²×Q₈	—	151	1	no	—
415	C₂²×Q₈	—	151	1	no	—
416	C₂²×D₄	—	151	2	no	—
417	C₂²×D₄	C₂×D₁₅₁	1	1	yes	characteristic
418	C₂³×C₄	—	151	2	no	—
419	C₂³×C₄	—	151	1	no	—
420	C₄⋊Q₈	—	151	1	no	—
421	C₄⋊Q₈	—	151	2	no	—
422	C₄⋊Q₈	—	151	2	no	—
423	C₄⋊Q₈	—	151	1	no	—
424	#124	—	151	1	no	—
425	#124	—	151	2	no	—
426	#124	—	151	2	no	—
427	#124	C₂×D₁₅₁	1	1	yes	characteristic, complemented
428	#123	—	151	2	no	—
429	#123	—	151	2	no	—
430	#123	—	151	2	no	—
431	#123	—	151	1	no	—
432	#123	—	151	1	no	—
433	#123	—	151	2	no	—
434	#123	—	151	2	no	—
435	#123	—	151	2	no	—
436	#123	—	151	2	no	—
437	#123	C₂×D₁₅₁	1	2	yes	complemented
438	C₂²⋊Q₈	—	151	1	no	—
439	C₂²⋊Q₈	—	151	1	no	—
440	C₂²⋊Q₈	—	151	1	no	—
441	C₂²⋊Q₈	—	151	2	no	—
442	C₂²⋊Q₈	—	151	1	no	—
443	C₂²⋊Q₈	—	151	1	no	—
444	C₂²⋊Q₈	—	151	2	no	—
445	C₂²⋊Q₈	—	151	1	no	—
446	C₂²⋊Q₈	—	151	2	no	—
447	C₂²⋊Q₈	—	151	1	no	—
448	C₂²⋊Q₈	—	151	2	no	—
449	C₂²⋊Q₈	—	151	2	no	—
450	C₂²⋊Q₈	—	151	2	no	—
451	C₂²⋊Q₈	—	151	2	no	—
452	C₂²⋊Q₈	—	151	2	no	—
453	C₂²⋊Q₈	—	151	2	no	—
454	C₂²⋊Q₈	—	151	2	no	—
455	C₂²⋊Q₈	—	151	2	no	—
456	C₂²⋊Q₈	C₂×D₁₅₁	1	1	yes	characteristic
457	#121	—	151	1	no	—
458	#121	—	151	2	no	—
459	#121	—	151	2	no	—
460	#121	—	151	2	no	—
461	#121	—	151	2	no	—
462	#121	—	151	1	no	—
463	#121	—	151	2	no	—
464	#121	—	151	2	no	—
465	#121	—	151	1	no	—
466	#121	—	151	2	no	—
467	#121	—	151	2	no	—
468	#121	C₂×D₁₅₁	1	2	yes	complemented
469	#121	C₂×D₁₅₁	1	1	yes	characteristic, complemented
470	#120	—	151	2	no	—
471	#120	—	151	1	no	—
472	#120	—	151	1	no	—
473	#120	C₂×D₁₅₁	1	2	yes	—
474	C₄×Q₈	—	151	1	no	—
475	C₄×Q₈	—	151	1	no	—
476	C₄×D₄	—	151	1	no	—
477	C₄×D₄	—	151	2	no	—
478	C₄×D₄	—	151	2	no	—
479	C₄×D₄	—	151	2	no	—
480	C₄×D₄	—	151	1	no	—
481	C₄×D₄	—	151	1	no	—
482	C₄×D₄	—	151	2	no	—
483	C₄×D₄	—	151	2	no	—
484	C₄×D₄	—	151	2	no	—
485	C₄×D₄	—	151	1	no	—
486	C₄×D₄	C₂×D₁₅₁	1	1	yes	characteristic
487	C₄×D₄	C₂×D₁₅₁	1	1	yes	characteristic, complemented
488	#117	—	151	2	no	—
489	#117	—	151	1	no	—
490	C₂×C₄⋊C₄	—	151	2	no	—
491	C₂×C₄⋊C₄	—	151	2	no	—
492	C₂×C₄⋊C₄	—	151	2	no	—
493	C₂×C₄⋊C₄	—	151	1	no	—
494	C₂×C₄⋊C₄	—	151	2	no	—
495	C₂×C₂²⋊C₄	—	151	2	no	—
496	C₂×C₂²⋊C₄	—	151	2	no	—
497	C₂×C₂²⋊C₄	C₂×D₁₅₁	1	2	yes	—
498	C₂⁴	—	151	1	no	—
499	C₂⁴	C₂²×D₁₅₁	1	2	yes	—
500	#41	—	2	4	no	—
501	#41	—	302	8	no	—
502	#41	—	302	4	no	—
503	#41	—	302	4	no	—
504	#41	—	302	8	no	—
505	#41	—	302	8	no	—
506	#41	—	302	4	no	—
507	#41	—	302	4	no	—
508	#41	—	302	8	no	—
509	#41	—	302	4	no	—
510	#41	—	302	8	no	—
511	#41	—	151	8	no	—
512	C₂×Q₈	—	302	4	no	—
513	C₂×Q₈	—	302	4	no	—
514	C₂×Q₈	—	302	8	no	—
515	C₂×Q₈	—	302	4	no	—
516	C₂×Q₈	—	302	4	no	—
517	C₂×Q₈	—	151	2	no	—
518	C₂×Q₈	—	151	1	no	—
519	C₂×Q₈	—	151	1	no	—
520	C₂×Q₈	—	151	2	no	—
521	C₂×Q₈	—	151	2	no	—
522	C₂×Q₈	—	151	1	no	—
523	C₂×Q₈	—	151	2	no	—
524	C₂×Q₈	—	151	1	no	—
525	C₂×Q₈	C₂²×D₁₅₁	1	1	yes	characteristic
526	C₂×D₄	—	2	4	no	—
527	C₂×D₄	—	302	8	no	—
528	C₂×D₄	—	151	1	no	—
529	C₂×D₄	—	151	1	no	—
530	C₂×D₄	—	151	2	no	—
531	C₂×D₄	—	151	1	no	—
532	C₂×D₄	—	151	2	no	—
533	C₂×D₄	—	151	2	no	—
534	C₂×D₄	—	151	2	no	—
535	C₂×D₄	—	151	1	no	—
536	C₂×D₄	—	151	2	no	—
537	C₂×D₄	—	151	2	no	—
538	C₂×D₄	—	151	1	no	—
539	C₂×D₄	—	151	1	no	—
540	C₂×D₄	C₂²×D₁₅₁	1	1	yes	characteristic
541	C₂×D₄	C₂²×D₁₅₁	1	2	yes	—
542	C₂×D₄	C₂²×D₁₅₁	1	2	yes	—
543	C₂×D₄	C₂²×D₁₅₁	1	1	yes	characteristic
544	C₂×D₄	C₂²×D₁₅₁	1	2	yes	—
545	C₂×D₄	C₂²×D₁₅₁	1	1	yes	characteristic
546	C₂²×C₄	—	302	4	no	—
547	C₂²×C₄	—	302	8	no	—
548	C₂²×C₄	—	151	2	no	—
549	C₂²×C₄	—	151	2	no	—
550	C₂²×C₄	—	151	2	no	—
551	C₂²×C₄	—	151	2	no	—
552	C₂²×C₄	—	151	2	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	2	no	—
558	C₂²×C₄	—	151	1	no	—
559	C₂²×C₄	—	151	1	no	—
560	C₂²×C₄	—	151	1	no	—
561	C₂²×C₄	—	151	2	no	—
562	C₂²×C₄	—	151	2	no	—
563	C₂²×C₄	—	151	2	no	—
564	C₂²×C₄	—	151	1	no	—
565	C₂²×C₄	C₂²×D₁₅₁	1	2	yes	—
566	C₂²×C₄	C₂²×D₁₅₁	1	1	yes	characteristic
567	C₂²×C₄	C₂²×D₁₅₁	1	1	yes	characteristic
568	C₂²×C₄	C₂²×D₁₅₁	1	2	yes	—
569	C₄⋊C₄	—	151	2	no	—
570	C₄⋊C₄	—	151	1	no	—
571	C₄⋊C₄	—	151	2	no	—
572	C₄⋊C₄	—	151	1	no	—
573	C₄⋊C₄	—	151	2	no	—
574	C₄⋊C₄	—	151	2	no	—
575	C₄⋊C₄	—	151	2	no	—
576	C₄⋊C₄	—	151	2	no	—
577	C₄⋊C₄	—	151	2	no	—
578	C₄⋊C₄	—	151	1	no	—
579	C₄⋊C₄	—	151	1	no	—
580	C₄⋊C₄	—	151	2	no	—
581	C₄⋊C₄	—	151	2	no	—
582	C₄⋊C₄	—	151	1	no	—
583	C₄⋊C₄	—	151	1	no	—
584	C₄⋊C₄	—	151	2	no	—
585	C₄⋊C₄	—	151	2	no	—
586	C₄⋊C₄	—	151	2	no	—
587	C₄⋊C₄	C₂²×D₁₅₁	1	1	yes	characteristic
588	C₄⋊C₄	C₂²×D₁₅₁	1	2	yes	—
589	C₄⋊C₄	C₂²×D₁₅₁	1	1	yes	characteristic
590	C₂²⋊C₄	—	151	2	no	—
591	C₂²⋊C₄	—	151	1	no	—
592	C₂²⋊C₄	—	151	2	no	—
593	C₂²⋊C₄	—	151	2	no	—
594	C₂²⋊C₄	—	151	2	no	—
595	C₂²⋊C₄	—	151	1	no	—
596	C₂²⋊C₄	—	151	2	no	—
597	C₂²⋊C₄	—	151	2	no	—
598	C₂²⋊C₄	—	151	2	no	—
599	C₂²⋊C₄	—	151	2	no	—
600	C₂²⋊C₄	—	151	1	no	—
601	C₂²⋊C₄	—	151	1	no	—
602	C₂²⋊C₄	—	151	1	no	—
603	C₂²⋊C₄	—	151	1	no	—
604	C₂²⋊C₄	—	151	1	no	—
605	C₂²⋊C₄	—	151	1	no	—
606	C₂²⋊C₄	—	151	2	no	—
607	C₂²⋊C₄	C₂²×D₁₅₁	1	2	yes	—
608	C₂²⋊C₄	C₂²×D₁₅₁	1	1	yes	characteristic
609	C₂²⋊C₄	C₂²×D₁₅₁	1	2	yes	—
610	C₂²⋊C₄	C₂²×D₁₅₁	1	2	yes	—
611	C₂²⋊C₄	C₂²×D₁₅₁	1	2	yes	—
612	C₂²⋊C₄	C₂²×D₁₅₁	1	2	yes	—
613	C₂²⋊C₄	C₂²×D₁₅₁	1	1	yes	characteristic
614	C₄²	—	151	1	no	—
615	C₄²	—	151	2	no	—
616	C₄²	—	151	2	no	—
617	C₄²	C₂²×D₁₅₁	1	1	yes	characteristic
618	C₂³	—	2	4	no	—
619	C₂³	—	2	4	no	—
620	C₂³	—	4	2	no	—
621	C₂³	—	302	2	no	—
622	C₂³	—	302	2	no	—
623	C₂³	—	604	1	no	—
624	C₂³	—	151	1	no	—
625	C₂³	—	151	1	no	—
626	C₂³	—	151	1	no	—
627	C₂³	C₂³×D₁₅₁	1	2	yes	—
628	C₂³	C₂³×D₁₅₁	1	1	yes	characteristic
629	C₂³	C₂³×D₁₅₁	1	2	yes	—
630	C₂³	C₂³×D₁₅₁	1	1	yes	characteristic
631	Q₈	—	2	2	no	—
632	Q₈	—	302	2	no	—
633	Q₈	—	302	4	no	—
634	Q₈	—	302	4	no	—
635	Q₈	—	302	4	no	—
636	Q₈	—	302	4	no	—
637	Q₈	—	302	2	no	—
638	Q₈	—	302	2	no	—
639	Q₈	—	151	4	no	—
640	D₄	—	2	4	no	—
641	D₄	—	2	4	no	—
642	D₄	—	2	2	no	—
643	D₄	—	2	2	no	—
644	D₄	—	4	2	no	—
645	D₄	—	302	2	no	—
646	D₄	—	302	4	no	—
647	D₄	—	302	2	no	—
648	D₄	—	302	4	no	—
649	D₄	—	302	4	no	—
650	D₄	—	302	2	no	—
651	D₄	—	302	4	no	—
652	D₄	—	302	2	no	—
653	D₄	—	604	1	no	—
654	D₄	—	604	1	no	—
655	D₄	—	604	2	no	—
656	D₄	—	151	8	no	—
657	D₄	D₄×D₁₅₁	1	4	yes	—
658	C₂×C₄	—	2	4	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	4	2	no	—
662	C₂×C₄	—	302	2	no	—
663	C₂×C₄	—	302	4	no	—
664	C₂×C₄	—	302	2	no	—
665	C₂×C₄	—	302	4	no	—
666	C₂×C₄	—	302	4	no	—
667	C₂×C₄	—	302	4	no	—
668	C₂×C₄	—	302	2	no	—
669	C₂×C₄	—	302	4	no	—
670	C₂×C₄	—	302	4	no	—
671	C₂×C₄	—	302	4	no	—
672	C₂×C₄	—	302	4	no	—
673	C₂×C₄	—	302	2	no	—
674	C₂×C₄	—	302	2	no	—
675	C₂×C₄	—	604	2	no	—
676	C₂×C₄	—	604	2	no	—
677	C₂×C₄	—	151	1	no	—
678	C₂×C₄	—	151	1	no	—
679	C₂×C₄	—	151	2	no	—
680	C₂×C₄	—	151	1	no	—
681	C₂×C₄	—	151	2	no	—
682	C₂×C₄	—	151	1	no	—
683	C₂×C₄	—	151	2	no	—
684	C₂×C₄	—	151	8	no	—
685	C₂×C₄	—	151	2	no	—
686	C₂×C₄	—	151	1	no	—
687	C₂×C₄	—	151	4	no	—
688	C₂×C₄	C₂³×D₁₅₁	1	1	yes	characteristic
689	C₂×C₄	C₂³×D₁₅₁	1	2	yes	—
690	C₂×C₄	C₂³×D₁₅₁	1	1	yes	characteristic
691	C₂×C₄	C₂³×D₁₅₁	1	2	yes	—
692	C₂×C₄	C₂³×D₁₅₁	1	1	yes	characteristic
693	C₂×C₄	C₂³×D₁₅₁	1	1	yes	characteristic
694	C₂×C₄	C₂³×D₁₅₁	1	1	yes	characteristic
695	C₂²	—	2	1	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	2	1	no	—
699	C₂²	—	2	1	no	—
700	C₂²	—	2	2	no	—
701	C₂²	—	2	1	no	—
702	C₂²	—	2	2	no	—
703	C₂²	—	2	1	no	—
704	C₂²	—	2	2	no	—
705	C₂²	—	4	8	no	—
706	C₂²	—	302	1	no	—
707	C₂²	—	302	1	no	—
708	C₂²	—	302	1	no	—
709	C₂²	—	302	1	no	—
710	C₂²	—	302	1	no	—
711	C₂²	—	302	1	no	—
712	C₂²	—	302	1	no	—
713	C₂²	—	302	1	no	—
714	C₂²	—	604	4	no	—
715	C₂²	—	151	2	no	—
716	C₂²	C₂×D₄×D₁₅₁	1	4	yes	—
717	C₂²	#18012786	1	2	yes	complemented
718	C₂²	C₂⁴×D₁₅₁	1	1	yes	characteristic
719	C₄	—	2	1	no	—
720	C₄	—	2	1	no	—
721	C₄	—	2	2	no	—
722	C₄	—	2	1	no	—
723	C₄	—	2	1	no	—
724	C₄	—	2	2	no	—
725	C₄	—	302	1	no	—
726	C₄	—	302	2	no	—
727	C₄	—	302	2	no	—
728	C₄	—	302	1	no	—
729	C₄	—	302	1	no	—
730	C₄	—	302	2	no	—
731	C₄	—	302	1	no	—
732	C₄	—	151	2	no	—
733	C₄	—	151	4	no	—
734	C₄	C₂×D₄×D₁₅₁	1	2	yes	—
735	C₂	—	2	2	no	—
736	C₂	—	2	4	no	—
737	C₂	—	4	2	no	—
738	C₂	—	4	1	no	—
739	C₂	—	302	2	no	—
740	C₂	—	604	1	no	—
741	C₂	—	604	1	no	—
742	C₂	C₂²×D₄×D₁₅₁	1	1	yes	characteristic
743	C₂	C₂×#18012786	1	1	yes	characteristic
744	C₂	#23753047	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₅₁
commutator, socle, cosocle	C₂²×C₁₅₁	C₂⁵
Fitting	#546×C₁₅₁	C₂
hypercenter	#546	D₁₅₁
hypocenter	C₁₅₁	#3489
LCS	G ▷ C₂²×C₁₅₁ ▷ C₁₅₁
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. C₂×#18012786	C₂	semidirect
2. C₂²×#14559003	C₂	semidirect
3. D₄×Dic₃₀₂	C₂	semidirect
4. #23752875	C₂	semidirect
5. #23752870	C₂	semidirect
6. #23752868	C₂	semidirect
7. #23752866	C₂	semidirect
8. #23752862	C₂	semidirect
9. #23752861	C₂	semidirect
10. #23752860	C₂	semidirect
11. #23752856	C₂	semidirect
12. #23752852	C₂	semidirect
13. #23752849	C₂	semidirect
14. #23752791	C₂	semidirect
15. #23752789	C₂	semidirect
16. #23752784	C₂	semidirect
17. #23752782	C₂	semidirect
18. #23752721	C₂	semidirect
19. #23752718	C₂	semidirect
20. C₂×#18012716	C₂	semidirect
21. C₂²⋊Q₈×D₁₅₁	C₂	semidirect
22. #23752691	C₂	semidirect
23. #546×C₁₅₁	C₂	semidirect
25. C₂×#14559004	C₂²	semidirect
26. C₂×#14559004	C₂²	semidirect
34. C₂×#14559003	C₂²	semidirect
35. C₂×#14559003	C₂²	semidirect
36. C₂×#14559003	C₂²	semidirect
38. C₂²×Dic₃₀₂	C₂²	semidirect
39. C₂²×Dic₃₀₂	C₂²	semidirect
40. C₂×Q₈×D₁₅₁	C₂²	semidirect
41. C₂×Q₈×D₁₅₁	C₂²	semidirect
45. #18012739	C₂²	semidirect
46. #18012738	C₂²	semidirect
47. #18012738	C₂²	semidirect
48. #18012737	C₂²	semidirect
49. #18012726	C₂²	semidirect
50. #18012725	C₂²	semidirect
51. #18012725	C₂²	semidirect
52. #18012724	C₂²	semidirect
53. #18012723	C₂²	semidirect
54. #18012723	C₂²	semidirect
55. #18012722	C₂²	semidirect
56. #18012721	C₂²	semidirect
57. #18012721	C₂²	semidirect
58. #18012721	C₂²	semidirect
59. #18012720	C₂²	semidirect
60. #18012720	C₂²	semidirect
61. #18012719	C₂²	semidirect
62. #18012719	C₂²	semidirect
64. #18012718	C₂²	semidirect
65. #18012717	C₂²	semidirect
66. #18012717	C₂²	semidirect
67. #18012717	C₂²	semidirect
72. #18012716	C₂²	semidirect
73. #18012716	C₂²	semidirect
74. #18012716	C₂²	semidirect
75. #18012716	C₂²	semidirect
76. #18012716	C₂²	semidirect
77. #18012716	C₂²	semidirect
78. #18012715	C₂²	semidirect
79. #18012713	C₂²	semidirect
80. #18012712	C₂²	semidirect
81. #18012712	C₂²	semidirect
82. #18012712	C₂²	semidirect
84. #18012711	C₂²	semidirect
85. #18012711	C₂²	semidirect
86. #18012711	C₂²	semidirect
87. #18012711	C₂²	semidirect
88. #18012710	C₂²	semidirect
89. #18012710	C₂²	semidirect
93. C₄×Dic₃₀₂	C₂²	semidirect
94. #18012704	C₂²	semidirect
95. C₄×D₆₀₄	C₂²	semidirect
97. D₄×Dic₁₅₁	C₂²	semidirect
98. D₄×Dic₁₅₁	C₂²	semidirect
100. C₄×C₂²⋊D₁₅₁	C₂²	semidirect
101. C₄×C₂²⋊D₁₅₁	C₂²	semidirect
103. (C₂²⋊D₁₅₁)⋊C₄	C₂²	semidirect
104. (C₂²⋊D₁₅₁)⋊C₄	C₂²	semidirect
105. #18012696	C₂²	semidirect
106. #18012695	C₂²	semidirect
107. C₂×C₄⋊Dic₁₅₁	C₂²	semidirect
108. C₂×Dic₁₅₁⋊C₄	C₂²	semidirect
109. C₂×Dic₁₅₁⋊C₄	C₂²	semidirect
110. C₄⋊C₄×D₁₅₁	C₂²	semidirect
111. C₄⋊C₄×D₁₅₁	C₂²	semidirect
114. C₂×#41×C₁₅₁	C₂²	semidirect
116. #124×C₁₅₁	C₂²	semidirect
117. #123×C₁₅₁	C₂²	semidirect
119. #121×C₁₅₁	C₂²	semidirect
120. #121×C₁₅₁	C₂²	semidirect
123. C₄×D₄×C₁₅₁	C₂²	semidirect
136. #14559003	D₄	semidirect
334. C₂²×C₁₅₁	2₋¹⁺⁴	semidirect
372. C₁₅₁	#3489	semidirect
387. #546	D₁₅₁	semidirect
410. C₂×#41	C₂×D₁₅₁	semidirect
427. #124	C₂×D₁₅₁	semidirect
437. #123	C₂×D₁₅₁	semidirect
468. #121	C₂×D₁₅₁	semidirect
469. #121	C₂×D₁₅₁	semidirect
487. C₄×D₄	C₂×D₁₅₁	semidirect
717. C₂²	#18012786	semidirect

Maximal subgroups

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

subgroup	index
C₂×#18012786	2
C₂²×#14559003	2
D₄×Dic₃₀₂	2
#23752875	2
#23752870	2
#23752868	2
#23752866	2
#23752862	2
#23752861	2
#23752860	2
#23752856	2
#23752852	2
#23752849	2
#23752791	2
#23752789	2
#23752784	2
#23752782	2
#23752721	2
#23752718	2
C₂×#18012716	2
C₂²⋊Q₈×D₁₅₁	2
#23752691	2
#546×C₁₅₁	2
#3489	151