Subgroups — #34058711

Order 19072.

1252 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23750338	C₂	1	1	yes	maximal, characteristic, complemented
2	#23750333	C₂	1	1	yes	maximal, characteristic, complemented
3	#23750327	C₂	1	1	yes	maximal, characteristic, complemented
4	#23750324	C₂	1	2	yes	maximal, complemented
5	#23750319	C₂	1	1	yes	maximal, characteristic, complemented
6	#23750294	C₂	1	1	yes	maximal, characteristic, complemented
7	#23750270	C₂	1	2	yes	maximal, complemented
8	#23750266	C₂	1	1	yes	maximal, characteristic, complemented
9	#23750263	C₂	1	1	yes	maximal, characteristic, complemented
10	#23750262	C₂	1	2	yes	maximal, complemented
11	#23750259	C₂	1	1	yes	maximal, characteristic, complemented
12	#23750257	C₂	1	2	yes	maximal, complemented
13	#23750227	C₂	1	2	yes	maximal, complemented
14	#23750211	C₂	1	2	yes	maximal, complemented
15	#23750208	C₂	1	2	yes	maximal, complemented
16	#23750170	C₂	1	1	yes	maximal, characteristic, complemented
17	#23750161	C₂	1	1	yes	maximal, characteristic, complemented
18	#23750138	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#18011885	C₂	1	1	yes	maximal, characteristic, complemented
20	#121×D₁₄₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#23750097	C₂	1	2	yes	maximal, complemented
22	C₂×C₄×C₂²⋊D₁₄₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#525×C₁₄₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14558737	C₂²	1	1	yes	characteristic, complemented
25	C₂×#14558735	C₂²	1	2	yes	complemented
26	C₂²×D₅₉₆	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₂²⋊D₁₄₉	C₂²	1	1	yes	characteristic
28	C₂²×C₂²⋊D₁₄₉	C₂²	1	2	yes	complemented
29	C₂×D₄×D₁₄₉	C₂²	1	2	yes	—
30	C₂×D₄×D₁₄₉	C₂²	1	2	yes	complemented
31	C₂×D₄×D₁₄₉	C₂²	1	1	yes	characteristic, complemented
32	C₂²×C₄×D₁₄₉	C₂²	1	1	yes	characteristic, complemented
33	#18011910	C₂²	1	1	yes	characteristic, complemented
34	#18011907	C₂²	1	1	yes	characteristic, complemented
35	#18011907	C₂²	1	2	yes	complemented
36	#18011906	C₂²	1	2	yes	complemented
37	#18011905	C₂²	1	2	yes	complemented
38	#18011904	C₂²	1	2	yes	complemented
39	#18011902	C₂²	1	1	yes	characteristic, complemented
40	#18011901	C₂²	1	2	yes	complemented
41	#18011900	C₂²	1	1	yes	characteristic, complemented
42	#18011899	C₂²	1	2	yes	complemented
43	#18011897	C₂²	1	2	yes	complemented
44	#18011897	C₂²	1	2	yes	complemented
45	#18011896	C₂²	1	2	yes	complemented
46	#18011896	C₂²	1	2	yes	complemented
47	#18011895	C₂²	1	2	yes	complemented
48	#18011895	C₂²	1	2	yes	complemented
49	#18011894	C₂²	1	2	yes	complemented
50	#18011893	C₂²	1	2	yes	complemented
51	#18011891	C₂²	1	2	yes	complemented
52	#18011888	C₂²	1	2	yes	complemented
53	#18011887	C₂²	1	1	yes	characteristic, complemented
54	#18011886	C₂²	1	2	yes	complemented
55	#18011886	C₂²	1	1	yes	characteristic, complemented
56	#18011886	C₂²	1	1	yes	characteristic, complemented
57	#18011885	C₂²	1	1	yes	characteristic
58	#18011885	C₂²	1	1	yes	characteristic, complemented
59	#18011885	C₂²	1	2	yes	complemented
60	#18011885	C₂²	1	2	yes	complemented
61	#18011885	C₂²	1	1	yes	characteristic, complemented
62	#18011885	C₂²	1	2	yes	complemented
63	#18011885	C₂²	1	1	yes	characteristic, complemented
64	#18011884	C₂²	1	2	yes	complemented
65	#18011884	C₂²	1	2	yes	complemented
66	#18011884	C₂²	1	2	yes	complemented
67	#18011884	C₂²	1	2	yes	complemented
68	#18011883	C₂²	1	2	yes	complemented
69	#18011883	C₂²	1	2	yes	complemented
70	#18011883	C₂²	1	2	yes	complemented
71	#18011883	C₂²	1	2	yes	complemented
72	#18011882	C₂²	1	2	yes	complemented
73	#18011882	C₂²	1	1	yes	characteristic, complemented
74	#18011881	C₂²	1	2	yes	complemented
75	#18011881	C₂²	1	2	yes	complemented
76	#18011881	C₂²	1	2	yes	complemented
77	#18011879	C₂²	1	2	yes	complemented
78	#18011879	C₂²	1	2	yes	complemented
79	Q₈×Dic₁₄₉	C₂²	1	1	yes	characteristic, complemented
80	C₄×D₅₉₆	C₂²	1	2	yes	complemented
81	D₄×Dic₁₄₉	C₂²	1	1	yes	characteristic, complemented
82	D₄×Dic₁₄₉	C₂²	1	2	yes	complemented
83	#18011873	C₂²	1	1	yes	characteristic, complemented
84	#18011873	C₂²	1	1	yes	characteristic, complemented
85	#18011873	C₂²	1	2	yes	complemented
86	C₄×C₂²⋊D₁₄₉	C₂²	1	1	yes	characteristic
87	C₄×C₂²⋊D₁₄₉	C₂²	1	1	yes	characteristic
88	C₄×C₂²⋊D₁₄₉	C₂²	1	1	yes	characteristic, complemented
89	C₄×C₂²⋊D₁₄₉	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₂²⋊D₁₄₉	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₂²⋊D₁₄₉	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₂²⋊D₁₄₉	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₂²⋊D₁₄₉	C₂²	1	2	yes	complemented
94	C₄×C₂²⋊D₁₄₉	C₂²	1	1	yes	characteristic, complemented
95	#18011871	C₂²	1	2	yes	—
96	#18011871	C₂²	1	2	yes	complemented
97	#18011871	C₂²	1	2	yes	complemented
98	#18011871	C₂²	1	2	yes	complemented
99	#18011869	C₂²	1	2	yes	complemented
100	#18011869	C₂²	1	1	yes	characteristic, complemented
101	#18011868	C₂²	1	2	yes	complemented
102	C₂×C₄⋊Dic₁₄₉	C₂²	1	1	yes	characteristic, complemented
103	C₂×#14558715	C₂²	1	1	yes	characteristic, complemented
104	C₄⋊C₄×D₁₄₉	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₂²⋊Dic₁₄₉	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14558713	C₂²	1	2	yes	complemented
107	C₂×#14558713	C₂²	1	2	yes	complemented
108	C₂×#14558713	C₂²	1	1	yes	characteristic, complemented
109	C₂²⋊C₄×D₁₄₉	C₂²	1	2	yes	complemented
110	C₂²⋊C₄×D₁₄₉	C₂²	1	2	yes	complemented
111	C₂×C₄×Dic₁₄₉	C₂²	1	1	yes	characteristic, complemented
112	C₂×#41×C₁₄₉	C₂²	1	1	yes	characteristic, complemented
113	C₂³×C₄×C₁₄₉	C₂²	1	1	yes	characteristic, complemented
114	#123×C₁₄₉	C₂²	1	2	yes	complemented
115	C₂²⋊Q₈×C₁₄₉	C₂²	1	1	yes	characteristic, complemented
116	C₂²⋊Q₈×C₁₄₉	C₂²	1	1	yes	characteristic, complemented
117	#121×C₁₄₉	C₂²	1	1	yes	characteristic, complemented
118	#121×C₁₄₉	C₂²	1	1	yes	characteristic, complemented
119	#120×C₁₄₉	C₂²	1	2	yes	complemented
120	C₄×D₄×C₁₄₉	C₂²	1	2	yes	complemented
121	C₄×D₄×C₁₄₉	C₂²	1	2	yes	complemented
122	#117×C₁₄₉	C₂²	1	1	yes	characteristic, complemented
123	C₂³×D₁₄₉	C₂³	1	1	yes	characteristic
124	C₂³×D₁₄₉	C₂³	1	2	yes	—
125	C₂³×D₁₄₉	C₂³	1	2	yes	—
126	#14558737	—	4	2	no	—
127	#14558735	—	4	4	no	—
128	C₂×Dic₂₉₈	C₂³	1	2	yes	—
129	C₂×D₅₉₆	—	4	2	no	—
130	C₂×D₅₉₆	C₂³	1	1	yes	characteristic
131	C₂×D₅₉₆	C₂³	1	2	yes	—
132	C₂×D₅₉₆	C₂³	1	1	yes	characteristic
133	C₂×D₅₉₆	C₂³	1	2	yes	—
134	C₂×D₅₉₆	C₂³	1	2	yes	—
135	C₂×D₅₉₆	C₂³	1	2	yes	—
136	C₂×C₂²⋊D₁₄₉	—	2	4	no	—
137	C₂×C₂²⋊D₁₄₉	—	4	4	no	—
138	C₂×C₂²⋊D₁₄₉	C₂³	1	2	yes	—
139	C₂×C₂²⋊D₁₄₉	C₂³	1	1	yes	characteristic
140	C₂×C₂²⋊D₁₄₉	C₂³	1	2	yes	—
141	C₂×C₂²⋊D₁₄₉	C₂³	1	1	yes	characteristic
142	C₂×C₂²⋊D₁₄₉	C₂³	1	1	yes	characteristic
143	C₂×C₂²⋊D₁₄₉	C₂³	1	2	yes	—
144	C₂×C₂²⋊D₁₄₉	C₂³	1	2	yes	—
145	C₂×C₂²⋊D₁₄₉	C₂³	1	2	yes	—
146	C₂×C₂²⋊D₁₄₉	C₂³	1	2	yes	—
147	C₂×C₂²⋊D₁₄₉	C₂³	1	2	yes	—
148	C₂×C₂²⋊D₁₄₉	C₂³	1	2	yes	—
149	C₂×C₂²⋊D₁₄₉	C₂³	1	1	yes	characteristic
150	D₄×D₁₄₉	—	2	8	no	—
151	D₄×D₁₄₉	—	4	2	no	—
152	D₄×D₁₄₉	—	4	4	no	—
153	C₂²×Dic₁₄₉	C₂³	1	1	yes	characteristic
154	C₂²×Dic₁₄₉	C₂³	1	1	yes	characteristic
155	C₂²×Dic₁₄₉	C₂³	1	1	yes	characteristic
156	C₂²×Dic₁₄₉	C₂³	1	2	yes	—
157	C₂²×Dic₁₄₉	C₂³	1	2	yes	—
158	C₂×C₄×D₁₄₉	—	4	2	no	—
159	C₂×C₄×D₁₄₉	C₂³	1	1	yes	characteristic
160	C₂×C₄×D₁₄₉	C₂³	1	1	yes	characteristic
161	C₂×C₄×D₁₄₉	C₂³	1	2	yes	—
162	C₂×C₄×D₁₄₉	C₂³	1	1	yes	characteristic
163	C₂×C₄×D₁₄₉	C₂³	1	1	yes	characteristic
164	C₂×C₄×D₁₄₉	C₂³	1	2	yes	—
165	C₂×C₄×D₁₄₉	C₂³	1	2	yes	—
166	C₂×C₄×D₁₄₉	C₂³	1	2	yes	—
167	C₄⋊Dic₁₄₉	C₂³	1	2	yes	—
168	C₄⋊Dic₁₄₉	C₂³	1	2	yes	—
169	C₄⋊Dic₁₄₉	C₂³	1	1	yes	characteristic
170	C₄⋊Dic₁₄₉	C₂³	1	1	yes	characteristic
171	C₄⋊Dic₁₄₉	C₂³	1	2	yes	—
172	#14558715	C₂³	1	1	yes	characteristic
173	#14558715	C₂³	1	2	yes	—
174	#14558715	C₂³	1	1	yes	characteristic
175	#14558715	C₂³	1	2	yes	—
176	#14558715	C₂³	1	2	yes	—
177	#14558715	C₂³	1	1	yes	characteristic
178	#14558715	C₂³	1	1	yes	characteristic
179	#14558715	C₂³	1	2	yes	—
180	C₂²⋊Dic₁₄₉	C₂³	1	2	yes	—
181	C₂²⋊Dic₁₄₉	C₂³	1	2	yes	—
182	C₂²⋊Dic₁₄₉	C₂³	1	1	yes	characteristic
183	C₂²⋊Dic₁₄₉	C₂³	1	1	yes	characteristic
184	C₂²⋊Dic₁₄₉	C₂³	1	1	yes	characteristic
185	C₂²⋊Dic₁₄₉	C₂³	1	1	yes	characteristic
186	#14558713	C₂³	1	2	yes	—
187	#14558713	C₂³	1	2	yes	—
188	#14558713	C₂³	1	2	yes	—
189	#14558713	C₂³	1	2	yes	—
190	#14558713	C₂³	1	2	yes	—
191	#14558713	C₂³	1	2	yes	—
192	#14558713	C₂³	1	2	yes	—
193	#14558713	C₂³	1	2	yes	—
194	#14558713	C₂³	1	1	yes	characteristic
195	#14558713	C₂³	1	2	yes	—
196	#14558713	C₂³	1	2	yes	—
197	#14558713	C₂³	1	2	yes	—
198	#14558713	C₂³	1	1	yes	characteristic
199	#14558713	C₂³	1	1	yes	characteristic
200	#14558713	C₂³	1	1	yes	characteristic
201	#14558713	C₂³	1	2	yes	—
202	C₄×Dic₁₄₉	C₂³	1	2	yes	—
203	C₄×Dic₁₄₉	C₂³	1	1	yes	characteristic
204	C₄×Dic₁₄₉	C₂³	1	1	yes	characteristic
205	C₄×Dic₁₄₉	C₂³	1	2	yes	—
206	C₄×Dic₁₄₉	C₂³	1	1	yes	characteristic
207	C₄×Dic₁₄₉	C₂³	1	1	yes	characteristic
208	C₂⁴×C₁₄₉	C₂³	1	1	yes	characteristic
209	#41×C₁₄₉	—	4	2	no	—
210	C₂×Q₈×C₁₄₉	C₂³	1	1	yes	characteristic
211	C₂×D₄×C₁₄₉	C₂³	1	1	yes	characteristic
212	C₂×D₄×C₁₄₉	C₂³	1	2	yes	—
213	C₂×D₄×C₁₄₉	C₂³	1	2	yes	—
214	C₂×D₄×C₁₄₉	C₂³	1	2	yes	—
215	C₂²×C₄×C₁₄₉	—	4	2	no	—
216	C₂²×C₄×C₁₄₉	C₂³	1	1	yes	characteristic
217	C₂²×C₄×C₁₄₉	C₂³	1	1	yes	characteristic
218	C₂²×C₄×C₁₄₉	C₂³	1	1	yes	characteristic
219	C₂²×C₄×C₁₄₉	C₂³	1	1	yes	characteristic
220	C₂²×C₄×C₁₄₉	C₂³	1	1	yes	characteristic
221	C₂²×C₄×C₁₄₉	C₂³	1	2	yes	—
222	C₂²×C₄×C₁₄₉	C₂³	1	1	yes	characteristic
223	C₄⋊C₄×C₁₄₉	C₂³	1	2	yes	—
224	C₄⋊C₄×C₁₄₉	C₂³	1	1	yes	characteristic
225	C₄⋊C₄×C₁₄₉	C₂³	1	1	yes	characteristic
226	C₄⋊C₄×C₁₄₉	C₂³	1	2	yes	—
227	C₂²⋊C₄×C₁₄₉	C₂³	1	2	yes	—
228	C₂²⋊C₄×C₁₄₉	C₂³	1	2	yes	—
229	C₂²⋊C₄×C₁₄₉	C₂³	1	2	yes	—
230	C₂²⋊C₄×C₁₄₉	C₂³	1	2	yes	—
231	C₂²⋊C₄×C₁₄₉	C₂³	1	2	yes	—
232	C₄²×C₁₄₉	C₂³	1	2	yes	—
233	C₂²×D₁₄₉	—	2	2	no	—
234	C₂²×D₁₄₉	—	2	4	no	—
235	C₂²×D₁₄₉	—	2	2	no	—
236	C₂²×D₁₄₉	—	2	4	no	—
237	C₂²×D₁₄₉	—	4	1	no	—
238	C₂²×D₁₄₉	—	4	2	no	—
239	C₂²×D₁₄₉	—	4	2	no	—
240	C₂²×D₁₄₉	—	4	2	no	—
241	C₂²×D₁₄₉	—	4	2	no	—
242	C₂²×D₁₄₉	C₂⁴	1	1	yes	characteristic
243	C₂²×D₁₄₉	C₂⁴	1	2	yes	—
244	C₂²×D₁₄₉	C₂⁴	1	2	yes	—
245	C₂²×D₁₄₉	C₂⁴	1	1	yes	characteristic
246	Dic₂₉₈	—	4	2	no	—
247	D₅₉₆	—	2	4	no	—
248	D₅₉₆	—	2	2	no	—
249	D₅₉₆	—	2	2	no	—
250	D₅₉₆	—	4	2	no	—
251	D₅₉₆	—	4	2	no	—
252	D₅₉₆	—	4	2	no	—
253	C₂²⋊D₁₄₉	—	2	2	no	—
254	C₂²⋊D₁₄₉	—	2	4	no	—
255	C₂²⋊D₁₄₉	—	2	4	no	—
256	C₂²⋊D₁₄₉	—	2	2	no	—
257	C₂²⋊D₁₄₉	—	2	4	no	—
258	C₂²⋊D₁₄₉	—	2	2	no	—
259	C₂²⋊D₁₄₉	—	4	2	no	—
260	C₂²⋊D₁₄₉	—	4	2	no	—
261	C₂²⋊D₁₄₉	—	4	2	no	—
262	C₂²⋊D₁₄₉	—	4	2	no	—
263	C₂²⋊D₁₄₉	—	4	2	no	—
264	C₂²⋊D₁₄₉	#41	1	4	yes	complemented
265	C₂×Dic₁₄₉	—	2	2	no	—
266	C₂×Dic₁₄₉	—	2	2	no	—
267	C₂×Dic₁₄₉	—	4	1	no	—
268	C₂×Dic₁₄₉	—	4	2	no	—
269	C₂×Dic₁₄₉	—	4	2	no	—
270	C₂×Dic₁₄₉	C₂⁴	1	1	yes	characteristic
271	C₂×Dic₁₄₉	C₂⁴	1	1	yes	characteristic
272	C₂×Dic₁₄₉	C₂⁴	1	1	yes	characteristic
273	C₂×Dic₁₄₉	C₂⁴	1	2	yes	—
274	C₂×Dic₁₄₉	C₂⁴	1	2	yes	—
275	C₂×Dic₁₄₉	C₂⁴	1	1	yes	characteristic
276	C₂×Dic₁₄₉	C₂⁴	1	1	yes	characteristic
277	C₂×Dic₁₄₉	C₂⁴	1	1	yes	characteristic
278	C₄×D₁₄₉	—	2	2	no	—
279	C₄×D₁₄₉	—	2	2	no	—
280	C₄×D₁₄₉	—	2	4	no	—
281	C₄×D₁₄₉	—	4	1	no	—
282	C₄×D₁₄₉	—	4	1	no	—
283	C₄×D₁₄₉	—	4	2	no	—
284	C₄×D₁₄₉	—	4	2	no	—
285	C₄×D₁₄₉	—	4	2	no	—
286	C₂³×C₁₄₉	—	2	2	no	—
287	C₂³×C₁₄₉	—	2	2	no	—
288	C₂³×C₁₄₉	—	4	1	no	—
289	C₂³×C₁₄₉	C₂⁴	1	2	yes	—
290	C₂³×C₁₄₉	C₂⁴	1	1	yes	characteristic
291	C₂³×C₁₄₉	C₂⁴	1	1	yes	characteristic
292	C₂³×C₁₄₉	C₂⁴	1	1	yes	characteristic
293	Q₈×C₁₄₉	—	2	2	no	—
294	D₄×C₁₄₉	—	2	4	no	—
295	D₄×C₁₄₉	—	2	4	no	—
296	D₄×C₁₄₉	—	2	2	no	—
297	D₄×C₁₄₉	—	4	2	no	—
298	C₂×C₄×C₁₄₉	—	2	2	no	—
299	C₂×C₄×C₁₄₉	—	2	2	no	—
300	C₂×C₄×C₁₄₉	—	2	2	no	—
301	C₂×C₄×C₁₄₉	—	4	1	no	—
302	C₂×C₄×C₁₄₉	—	4	1	no	—
303	C₂×C₄×C₁₄₉	—	4	1	no	—
304	C₂×C₄×C₁₄₉	—	4	2	no	—
305	C₂×C₄×C₁₄₉	C₂⁴	1	2	yes	—
306	C₂×C₄×C₁₄₉	C₂⁴	1	1	yes	characteristic
307	C₂×C₄×C₁₄₉	C₂⁴	1	2	yes	—
308	C₂×C₄×C₁₄₉	C₂⁴	1	2	yes	—
309	C₂×C₄×C₁₄₉	C₂⁴	1	1	yes	characteristic
310	C₂×C₄×C₁₄₉	C₂⁴	1	1	yes	characteristic
311	C₂×C₄×C₁₄₉	C₂⁴	1	1	yes	characteristic
312	C₂²×C₁₄₉	—	2	1	no	—
313	C₂²×C₁₄₉	—	2	1	no	—
314	C₂²×C₁₄₉	—	2	1	no	—
315	C₂²×C₁₄₉	—	2	1	no	—
316	C₂²×C₁₄₉	—	2	2	no	—
317	C₂²×C₁₄₉	—	2	1	no	—
318	C₂²×C₁₄₉	—	2	1	no	—
319	C₂²×C₁₄₉	—	2	2	no	—
320	C₂²×C₁₄₉	—	2	2	no	—
321	C₂²×C₁₄₉	—	2	1	no	—
322	C₂²×C₁₄₉	—	4	4	no	—
323	C₂²×C₁₄₉	C₂×#41	1	2	yes	—
324	C₂²×C₁₄₉	H(5,𝔽₂)	1	2	yes	—
325	C₂²×C₁₄₉	C₂⁵	1	1	yes	characteristic
326	C₂×D₁₄₉	—	2	1	no	—
327	C₂×D₁₄₉	—	2	1	no	—
328	C₂×D₁₄₉	—	2	2	no	—
329	C₂×D₁₄₉	—	2	1	no	—
330	C₂×D₁₄₉	—	2	2	no	—
331	C₂×D₁₄₉	—	2	1	no	—
332	C₂×D₁₄₉	—	2	2	no	—
333	C₂×D₁₄₉	—	2	2	no	—
334	C₂×D₁₄₉	—	2	2	no	—
335	C₂×D₁₄₉	—	2	1	no	—
336	C₂×D₁₄₉	—	2	2	no	—
337	C₂×D₁₄₉	—	4	4	no	—
338	C₂×D₁₄₉	—	8	4	no	—
339	C₂×D₁₄₉	—	8	4	no	—
340	C₂×D₁₄₉	C₂×#41	1	2	yes	—
341	C₄×C₁₄₉	—	2	2	no	—
342	C₄×C₁₄₉	—	2	1	no	—
343	C₄×C₁₄₉	—	2	1	no	—
344	C₄×C₁₄₉	—	2	1	no	—
345	C₄×C₁₄₉	—	2	2	no	—
346	C₄×C₁₄₉	—	2	2	no	—
347	C₄×C₁₄₉	H(5,𝔽₂)	1	2	yes	—
348	Dic₁₄₉	—	2	1	no	—
349	Dic₁₄₉	—	2	1	no	—
350	Dic₁₄₉	—	2	1	no	—
351	Dic₁₄₉	—	2	1	no	—
352	Dic₁₄₉	—	2	2	no	—
353	Dic₁₄₉	—	2	1	no	—
354	Dic₁₄₉	—	2	2	no	—
355	Dic₁₄₉	C₂×#41	1	2	yes	—
356	C₂×C₁₄₉	—	2	2	no	—
357	C₂×C₁₄₉	—	2	2	no	—
358	C₂×C₁₄₉	—	4	2	no	—
359	C₂×C₁₄₉	—	4	1	no	—
360	C₂×C₁₄₉	C₂²×#41	1	1	yes	characteristic
361	C₂×C₁₄₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
362	C₂×C₁₄₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
363	D₁₄₉	—	2	2	no	—
364	D₁₄₉	—	4	1	no	—
365	D₁₄₉	—	4	2	no	—
366	D₁₄₉	—	4	2	no	—
367	C₁₄₉	#3519	1	1	yes	characteristic, complemented, Sylow
368	#3519	—	149	1	no	maximal, Sylow
369	#555	—	149	1	no	—
370	#554	—	149	1	no	—
371	#553	—	149	1	no	—
372	#553	—	149	2	no	—
373	#553	—	149	1	no	—
374	#550	—	149	1	no	—
375	#546	—	149	1	no	—
376	#546	—	149	1	no	—
377	#546	—	149	2	no	—
378	#546	—	149	2	no	—
379	D₄²	—	149	1	no	—
380	D₄²	—	149	2	no	—
381	#540	—	149	2	no	—
382	#538	—	149	2	no	—
383	#538	—	149	2	no	—
384	#532	—	149	1	no	—
385	#529	—	149	1	no	—
386	#525	—	149	1	no	—
387	#525	D₁₄₉	1	1	yes	characteristic, complemented
388	C₂×#121	—	149	1	no	—
389	C₂×#121	—	149	1	no	—
390	#518	—	149	2	no	—
391	C₂×C₄×D₄	—	149	1	no	—
392	C₂×#41	—	149	1	no	—
393	C₂×#41	—	149	2	no	—
394	C₂×#41	C₂×D₁₄₉	1	1	yes	characteristic, complemented
395	C₂²×D₄	—	149	1	no	—
396	C₂²×D₄	—	149	2	no	—
397	C₂²×D₄	—	149	2	no	—
398	C₂²×D₄	—	149	1	no	—
399	C₂²×D₄	—	149	2	no	—
400	C₂²×D₄	—	149	1	no	—
401	C₂³×C₄	—	149	1	no	—
402	C₂³×C₄	C₂×D₁₄₉	1	1	yes	characteristic, complemented
403	C₄⋊Q₈	—	149	1	no	—
404	#127	—	149	1	no	—
405	#127	—	149	2	no	—
406	#126	—	149	2	no	—
407	#126	—	149	2	no	—
408	#126	—	149	2	no	—
409	#125	—	149	1	no	—
410	#125	—	149	2	no	—
411	#124	—	149	1	no	—
412	#124	—	149	2	no	—
413	#124	—	149	2	no	—
414	#124	—	149	2	no	—
415	#123	—	149	2	no	—
416	#123	—	149	2	no	—
417	#123	—	149	2	no	—
418	#123	—	149	2	no	—
419	#123	—	149	2	no	—
420	#123	—	149	2	no	—
421	#123	C₂×D₁₄₉	1	2	yes	complemented
422	C₂²⋊Q₈	—	149	1	no	—
423	C₂²⋊Q₈	—	149	2	no	—
424	C₂²⋊Q₈	—	149	2	no	—
425	C₂²⋊Q₈	C₂×D₁₄₉	1	1	yes	characteristic, complemented
426	C₂²⋊Q₈	C₂×D₁₄₉	1	1	yes	characteristic, complemented
427	#121	—	149	2	no	—
428	#121	—	149	1	no	—
429	#121	—	149	2	no	—
430	#121	—	149	2	no	—
431	#121	—	149	2	no	—
432	#121	—	149	2	no	—
433	#121	—	149	1	no	—
434	#121	—	149	1	no	—
435	#121	—	149	2	no	—
436	#121	—	149	2	no	—
437	#121	—	149	1	no	—
438	#121	—	149	1	no	—
439	#121	—	149	2	no	—
440	#121	—	149	1	no	—
441	#121	—	149	1	no	—
442	#121	—	149	2	no	—
443	#121	—	149	2	no	—
444	#121	—	149	2	no	—
445	#121	—	149	2	no	—
446	#121	—	149	2	no	—
447	#121	C₂×D₁₄₉	1	1	yes	characteristic, complemented
448	#121	C₂×D₁₄₉	1	1	yes	characteristic, complemented
449	#120	—	149	2	no	—
450	#120	—	149	2	no	—
451	#120	—	149	2	no	—
452	#120	—	149	2	no	—
453	#120	—	149	2	no	—
454	#120	C₂×D₁₄₉	1	2	yes	complemented
455	C₄×Q₈	—	149	1	no	—
456	C₄×D₄	—	149	2	no	—
457	C₄×D₄	—	149	1	no	—
458	C₄×D₄	—	149	1	no	—
459	C₄×D₄	—	149	1	no	—
460	C₄×D₄	—	149	1	no	—
461	C₄×D₄	—	149	1	no	—
462	C₄×D₄	—	149	1	no	—
463	C₄×D₄	—	149	1	no	—
464	C₄×D₄	—	149	1	no	—
465	C₄×D₄	—	149	1	no	—
466	C₄×D₄	—	149	2	no	—
467	C₄×D₄	—	149	2	no	—
468	C₄×D₄	—	149	1	no	—
469	C₄×D₄	—	149	1	no	—
470	C₄×D₄	—	149	2	no	—
471	C₄×D₄	—	149	2	no	—
472	C₄×D₄	—	149	2	no	—
473	C₄×D₄	—	149	2	no	—
474	C₄×D₄	—	149	2	no	—
475	C₄×D₄	C₂×D₁₄₉	1	2	yes	complemented
476	C₄×D₄	C₂×D₁₄₉	1	2	yes	complemented
477	#117	—	149	2	no	—
478	#117	—	149	1	no	—
479	#117	—	149	2	no	—
480	#117	C₂×D₁₄₉	1	1	yes	characteristic, complemented
481	C₂×C₄⋊C₄	—	149	1	no	—
482	C₂×C₄⋊C₄	—	149	1	no	—
483	C₂×C₄⋊C₄	—	149	1	no	—
484	C₂×C₂²⋊C₄	—	149	1	no	—
485	C₂×C₂²⋊C₄	—	149	1	no	—
486	C₂×C₂²⋊C₄	—	149	2	no	—
487	C₂×C₂²⋊C₄	—	149	2	no	—
488	C₂×C₂²⋊C₄	—	149	2	no	—
489	C₂×C₂²⋊C₄	—	149	2	no	—
490	C₂×C₄²	—	149	1	no	—
491	C₂⁴	—	149	1	no	—
492	C₂⁴	—	149	2	no	—
493	C₂⁴	—	149	2	no	—
494	C₂⁴	C₂²×D₁₄₉	1	1	yes	characteristic
495	#41	—	4	2	no	—
496	#41	—	596	4	no	—
497	#41	—	596	2	no	—
498	C₂×Q₈	—	149	2	no	—
499	C₂×Q₈	C₂²×D₁₄₉	1	1	yes	characteristic
500	C₂×D₄	—	298	8	no	—
501	C₂×D₄	—	298	4	no	—
502	C₂×D₄	—	596	2	no	—
503	C₂×D₄	—	596	2	no	—
504	C₂×D₄	—	596	4	no	—
505	C₂×D₄	—	596	4	no	—
506	C₂×D₄	—	149	1	no	—
507	C₂×D₄	—	149	1	no	—
508	C₂×D₄	—	149	2	no	—
509	C₂×D₄	—	149	1	no	—
510	C₂×D₄	—	149	2	no	—
511	C₂×D₄	—	149	2	no	—
512	C₂×D₄	—	149	2	no	—
513	C₂×D₄	—	149	2	no	—
514	C₂×D₄	—	149	2	no	—
515	C₂×D₄	—	149	2	no	—
516	C₂×D₄	—	149	2	no	—
517	C₂×D₄	—	149	1	no	—
518	C₂×D₄	—	149	2	no	—
519	C₂×D₄	—	149	1	no	—
520	C₂×D₄	—	149	1	no	—
521	C₂×D₄	—	149	2	no	—
522	C₂×D₄	—	149	2	no	—
523	C₂×D₄	—	149	2	no	—
524	C₂×D₄	C₂²×D₁₄₉	1	2	yes	—
525	C₂×D₄	C₂²×D₁₄₉	1	1	yes	characteristic
526	C₂×D₄	C₂²×D₁₄₉	1	2	yes	—
527	C₂×D₄	C₂²×D₁₄₉	1	2	yes	—
528	C₂²×C₄	—	4	2	no	—
529	C₂²×C₄	—	596	2	no	—
530	C₂²×C₄	—	149	1	no	—
531	C₂²×C₄	—	149	1	no	—
532	C₂²×C₄	—	149	1	no	—
533	C₂²×C₄	—	149	2	no	—
534	C₂²×C₄	—	149	1	no	—
535	C₂²×C₄	—	149	1	no	—
536	C₂²×C₄	—	149	2	no	—
537	C₂²×C₄	—	149	2	no	—
538	C₂²×C₄	—	149	1	no	—
539	C₂²×C₄	—	149	2	no	—
540	C₂²×C₄	—	149	2	no	—
541	C₂²×C₄	—	149	2	no	—
542	C₂²×C₄	—	149	1	no	—
543	C₂²×C₄	C₂²×D₁₄₉	1	1	yes	characteristic
544	C₂²×C₄	C₂²×D₁₄₉	1	1	yes	characteristic
545	C₂²×C₄	C₂²×D₁₄₉	1	1	yes	characteristic
546	C₂²×C₄	C₂²×D₁₄₉	1	1	yes	characteristic
547	C₂²×C₄	C₂²×D₁₄₉	1	1	yes	characteristic
548	C₂²×C₄	C₂²×D₁₄₉	1	2	yes	—
549	C₂²×C₄	C₂²×D₁₄₉	1	1	yes	characteristic
550	C₄⋊C₄	—	149	1	no	—
551	C₄⋊C₄	—	149	1	no	—
552	C₄⋊C₄	—	149	1	no	—
553	C₄⋊C₄	—	149	1	no	—
554	C₄⋊C₄	—	149	1	no	—
555	C₄⋊C₄	—	149	1	no	—
556	C₄⋊C₄	—	149	2	no	—
557	C₄⋊C₄	—	149	2	no	—
558	C₄⋊C₄	—	149	2	no	—
559	C₄⋊C₄	—	149	2	no	—
560	C₄⋊C₄	—	149	2	no	—
561	C₄⋊C₄	—	149	2	no	—
562	C₄⋊C₄	—	149	2	no	—
563	C₄⋊C₄	C₂²×D₁₄₉	1	1	yes	characteristic
564	C₄⋊C₄	C₂²×D₁₄₉	1	1	yes	characteristic
565	C₄⋊C₄	C₂²×D₁₄₉	1	2	yes	—
566	C₄⋊C₄	C₂²×D₁₄₉	1	2	yes	—
567	C₂²⋊C₄	—	149	1	no	—
568	C₂²⋊C₄	—	149	1	no	—
569	C₂²⋊C₄	—	149	2	no	—
570	C₂²⋊C₄	—	149	1	no	—
571	C₂²⋊C₄	—	149	1	no	—
572	C₂²⋊C₄	—	149	2	no	—
573	C₂²⋊C₄	—	149	1	no	—
574	C₂²⋊C₄	—	149	2	no	—
575	C₂²⋊C₄	—	149	2	no	—
576	C₂²⋊C₄	—	149	2	no	—
577	C₂²⋊C₄	—	149	2	no	—
578	C₂²⋊C₄	—	149	1	no	—
579	C₂²⋊C₄	—	149	2	no	—
580	C₂²⋊C₄	—	149	2	no	—
581	C₂²⋊C₄	—	149	1	no	—
582	C₂²⋊C₄	—	149	2	no	—
583	C₂²⋊C₄	—	149	1	no	—
584	C₂²⋊C₄	—	149	2	no	—
585	C₂²⋊C₄	—	149	2	no	—
586	C₂²⋊C₄	—	149	2	no	—
587	C₂²⋊C₄	—	149	2	no	—
588	C₂²⋊C₄	—	149	2	no	—
589	C₂²⋊C₄	C₂²×D₁₄₉	1	2	yes	—
590	C₂²⋊C₄	C₂²×D₁₄₉	1	2	yes	—
591	C₂²⋊C₄	C₂²×D₁₄₉	1	2	yes	—
592	C₂²⋊C₄	C₂²×D₁₄₉	1	2	yes	—
593	C₂²⋊C₄	C₂²×D₁₄₉	1	2	yes	—
594	C₄²	—	149	1	no	—
595	C₄²	—	149	1	no	—
596	C₄²	—	149	1	no	—
597	C₄²	—	149	1	no	—
598	C₄²	—	149	2	no	—
599	C₄²	—	149	2	no	—
600	C₄²	C₂²×D₁₄₉	1	2	yes	—
601	C₂³	—	2	2	no	—
602	C₂³	—	2	2	no	—
603	C₂³	—	4	1	no	—
604	C₂³	—	298	2	no	—
605	C₂³	—	298	4	no	—
606	C₂³	—	298	2	no	—
607	C₂³	—	298	4	no	—
608	C₂³	—	596	1	no	—
609	C₂³	—	596	2	no	—
610	C₂³	—	596	2	no	—
611	C₂³	—	596	2	no	—
612	C₂³	—	596	2	no	—
613	C₂³	—	149	2	no	—
614	C₂³	—	149	1	no	—
615	C₂³	—	149	2	no	—
616	C₂³	—	149	1	no	—
617	C₂³	C₂³×D₁₄₉	1	2	yes	—
618	C₂³	C₂³×D₁₄₉	1	1	yes	characteristic
619	C₂³	C₂³×D₁₄₉	1	1	yes	characteristic
620	C₂³	C₂³×D₁₄₉	1	1	yes	characteristic
621	Q₈	—	2	2	no	—
622	Q₈	—	596	2	no	—
623	D₄	—	2	4	no	—
624	D₄	—	2	4	no	—
625	D₄	—	2	2	no	—
626	D₄	—	4	2	no	—
627	D₄	—	298	4	no	—
628	D₄	—	298	2	no	—
629	D₄	—	298	2	no	—
630	D₄	—	298	4	no	—
631	D₄	—	298	4	no	—
632	D₄	—	298	4	no	—
633	D₄	—	298	2	no	—
634	D₄	—	298	2	no	—
635	D₄	—	298	2	no	—
636	D₄	—	596	2	no	—
637	D₄	—	596	2	no	—
638	D₄	—	596	2	no	—
639	D₄	—	596	2	no	—
640	D₄	—	596	2	no	—
641	D₄	—	596	2	no	—
642	D₄	—	596	2	no	—
643	D₄	—	596	2	no	—
644	D₄	—	149	4	no	—
645	C₂×C₄	—	2	2	no	—
646	C₂×C₄	—	2	2	no	—
647	C₂×C₄	—	2	2	no	—
648	C₂×C₄	—	4	1	no	—
649	C₂×C₄	—	4	1	no	—
650	C₂×C₄	—	4	1	no	—
651	C₂×C₄	—	4	2	no	—
652	C₂×C₄	—	298	4	no	—
653	C₂×C₄	—	298	2	no	—
654	C₂×C₄	—	298	2	no	—
655	C₂×C₄	—	298	2	no	—
656	C₂×C₄	—	298	2	no	—
657	C₂×C₄	—	596	1	no	—
658	C₂×C₄	—	596	1	no	—
659	C₂×C₄	—	596	2	no	—
660	C₂×C₄	—	596	2	no	—
661	C₂×C₄	—	596	2	no	—
662	C₂×C₄	—	596	1	no	—
663	C₂×C₄	—	596	2	no	—
664	C₂×C₄	—	596	2	no	—
665	C₂×C₄	—	149	1	no	—
666	C₂×C₄	—	149	1	no	—
667	C₂×C₄	—	149	1	no	—
668	C₂×C₄	—	149	1	no	—
669	C₂×C₄	—	149	2	no	—
670	C₂×C₄	—	149	2	no	—
671	C₂×C₄	—	149	1	no	—
672	C₂×C₄	—	149	1	no	—
673	C₂×C₄	C₂³×D₁₄₉	1	1	yes	characteristic
674	C₂×C₄	C₂³×D₁₄₉	1	2	yes	—
675	C₂×C₄	C₂³×D₁₄₉	1	2	yes	—
676	C₂×C₄	C₂³×D₁₄₉	1	1	yes	characteristic
677	C₂×C₄	C₂³×D₁₄₉	1	2	yes	—
678	C₂×C₄	C₂³×D₁₄₉	1	1	yes	characteristic
679	C₂×C₄	C₂³×D₁₄₉	1	1	yes	characteristic
680	C₂²	—	2	1	no	—
681	C₂²	—	2	1	no	—
682	C₂²	—	2	1	no	—
683	C₂²	—	2	1	no	—
684	C₂²	—	2	2	no	—
685	C₂²	—	2	1	no	—
686	C₂²	—	2	1	no	—
687	C₂²	—	2	2	no	—
688	C₂²	—	2	2	no	—
689	C₂²	—	2	1	no	—
690	C₂²	—	4	4	no	—
691	C₂²	—	298	1	no	—
692	C₂²	—	298	1	no	—
693	C₂²	—	298	2	no	—
694	C₂²	—	298	1	no	—
695	C₂²	—	298	2	no	—
696	C₂²	—	298	1	no	—
697	C₂²	—	298	2	no	—
698	C₂²	—	298	2	no	—
699	C₂²	—	298	2	no	—
700	C₂²	—	298	2	no	—
701	C₂²	—	298	1	no	—
702	C₂²	—	596	4	no	—
703	C₂²	—	149	2	no	—
704	C₂²	—	1192	4	no	—
705	C₂²	—	1192	4	no	—
706	C₂²	#41×D₁₄₉	1	2	yes	—
707	C₂²	#18011957	1	2	yes	—
708	C₂²	C₂⁴×D₁₄₉	1	1	yes	characteristic
709	C₄	—	2	2	no	—
710	C₄	—	2	1	no	—
711	C₄	—	2	1	no	—
712	C₄	—	2	1	no	—
713	C₄	—	2	2	no	—
714	C₄	—	2	2	no	—
715	C₄	—	298	1	no	—
716	C₄	—	298	1	no	—
717	C₄	—	298	1	no	—
718	C₄	—	298	1	no	—
719	C₄	—	298	1	no	—
720	C₄	—	298	2	no	—
721	C₄	—	298	2	no	—
722	C₄	—	149	2	no	—
723	C₄	#18011956	1	2	yes	—
724	C₂	—	2	2	no	—
725	C₂	—	2	2	no	—
726	C₂	—	4	1	no	—
727	C₂	—	4	2	no	—
728	C₂	—	298	2	no	—
729	C₂	—	596	1	no	—
730	C₂	—	596	2	no	—
731	C₂	—	596	2	no	—
732	C₂	C₂×#41×D₁₄₉	1	1	yes	characteristic
733	C₂	C₂×#18011956	1	1	yes	characteristic
734	C₂	C₂×#18011957	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₄₉
commutator, socle, cosocle	C₂²×C₁₄₉	C₂⁵
Fitting	#525×C₁₄₉	C₂
hypercenter	#525	D₁₄₉
hypocenter	C₁₄₉	#3519
LCS	G ▷ C₂²×C₁₄₉ ▷ C₁₄₉
UCS	C₁ ◁ C₂² ◁ #525

Complements

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

N	H ≅ G/N	type
1. #23750338	C₂	semidirect
2. #23750333	C₂	semidirect
3. #23750327	C₂	semidirect
4. #23750324	C₂	semidirect
5. #23750319	C₂	semidirect
6. #23750294	C₂	semidirect
7. #23750270	C₂	semidirect
8. #23750266	C₂	semidirect
9. #23750263	C₂	semidirect
10. #23750262	C₂	semidirect
11. #23750259	C₂	semidirect
12. #23750257	C₂	semidirect
13. #23750227	C₂	semidirect
14. #23750211	C₂	semidirect
15. #23750208	C₂	semidirect
16. #23750170	C₂	semidirect
17. #23750161	C₂	semidirect
18. #23750138	C₂	semidirect
19. C₂×#18011885	C₂	semidirect
20. #121×D₁₄₉	C₂	semidirect
21. #23750097	C₂	semidirect
22. C₂×C₄×C₂²⋊D₁₄₉	C₂	semidirect
23. #525×C₁₄₉	C₂	semidirect
24. C₂×#14558737	C₂²	semidirect
25. C₂×#14558735	C₂²	semidirect
26. C₂²×D₅₉₆	C₂²	semidirect
28. C₂²×C₂²⋊D₁₄₉	C₂²	semidirect
30. C₂×D₄×D₁₄₉	C₂²	semidirect
31. C₂×D₄×D₁₄₉	C₂²	semidirect
32. C₂²×C₄×D₁₄₉	C₂²	semidirect
33. #18011910	C₂²	semidirect
34. #18011907	C₂²	semidirect
35. #18011907	C₂²	semidirect
36. #18011906	C₂²	semidirect
37. #18011905	C₂²	semidirect
38. #18011904	C₂²	semidirect
39. #18011902	C₂²	semidirect
40. #18011901	C₂²	semidirect
41. #18011900	C₂²	semidirect
42. #18011899	C₂²	semidirect
43. #18011897	C₂²	semidirect
44. #18011897	C₂²	semidirect
45. #18011896	C₂²	semidirect
46. #18011896	C₂²	semidirect
47. #18011895	C₂²	semidirect
48. #18011895	C₂²	semidirect
49. #18011894	C₂²	semidirect
50. #18011893	C₂²	semidirect
51. #18011891	C₂²	semidirect
52. #18011888	C₂²	semidirect
53. #18011887	C₂²	semidirect
54. #18011886	C₂²	semidirect
55. #18011886	C₂²	semidirect
56. #18011886	C₂²	semidirect
58. #18011885	C₂²	semidirect
59. #18011885	C₂²	semidirect
60. #18011885	C₂²	semidirect
61. #18011885	C₂²	semidirect
62. #18011885	C₂²	semidirect
63. #18011885	C₂²	semidirect
64. #18011884	C₂²	semidirect
65. #18011884	C₂²	semidirect
66. #18011884	C₂²	semidirect
67. #18011884	C₂²	semidirect
68. #18011883	C₂²	semidirect
69. #18011883	C₂²	semidirect
70. #18011883	C₂²	semidirect
71. #18011883	C₂²	semidirect
72. #18011882	C₂²	semidirect
73. #18011882	C₂²	semidirect
74. #18011881	C₂²	semidirect
75. #18011881	C₂²	semidirect
76. #18011881	C₂²	semidirect
77. #18011879	C₂²	semidirect
78. #18011879	C₂²	semidirect
79. Q₈×Dic₁₄₉	C₂²	semidirect
80. C₄×D₅₉₆	C₂²	semidirect
81. D₄×Dic₁₄₉	C₂²	semidirect
82. D₄×Dic₁₄₉	C₂²	semidirect
83. #18011873	C₂²	semidirect
84. #18011873	C₂²	semidirect
85. #18011873	C₂²	semidirect
88. C₄×C₂²⋊D₁₄₉	C₂²	semidirect
89. C₄×C₂²⋊D₁₄₉	C₂²	semidirect
90. C₄×C₂²⋊D₁₄₉	C₂²	semidirect
91. C₄×C₂²⋊D₁₄₉	C₂²	semidirect
92. C₄×C₂²⋊D₁₄₉	C₂²	semidirect
93. C₄×C₂²⋊D₁₄₉	C₂²	semidirect
94. C₄×C₂²⋊D₁₄₉	C₂²	semidirect
96. #18011871	C₂²	semidirect
97. #18011871	C₂²	semidirect
98. #18011871	C₂²	semidirect
99. #18011869	C₂²	semidirect
100. #18011869	C₂²	semidirect
101. #18011868	C₂²	semidirect
102. C₂×C₄⋊Dic₁₄₉	C₂²	semidirect
103. C₂×#14558715	C₂²	semidirect
104. C₄⋊C₄×D₁₄₉	C₂²	semidirect
105. C₂×C₂²⋊Dic₁₄₉	C₂²	semidirect
106. C₂×#14558713	C₂²	semidirect
107. C₂×#14558713	C₂²	semidirect
108. C₂×#14558713	C₂²	semidirect
109. C₂²⋊C₄×D₁₄₉	C₂²	semidirect
110. C₂²⋊C₄×D₁₄₉	C₂²	semidirect
111. C₂×C₄×Dic₁₄₉	C₂²	semidirect
112. C₂×#41×C₁₄₉	C₂²	semidirect
113. C₂³×C₄×C₁₄₉	C₂²	semidirect
114. #123×C₁₄₉	C₂²	semidirect
115. C₂²⋊Q₈×C₁₄₉	C₂²	semidirect
116. C₂²⋊Q₈×C₁₄₉	C₂²	semidirect
117. #121×C₁₄₉	C₂²	semidirect
118. #121×C₁₄₉	C₂²	semidirect
119. #120×C₁₄₉	C₂²	semidirect
120. C₄×D₄×C₁₄₉	C₂²	semidirect
121. C₄×D₄×C₁₄₉	C₂²	semidirect
122. #117×C₁₄₉	C₂²	semidirect
264. C₂²⋊D₁₄₉	#41	semidirect
367. C₁₄₉	#3519	semidirect
387. #525	D₁₄₉	semidirect
394. C₂×#41	C₂×D₁₄₉	semidirect
402. C₂³×C₄	C₂×D₁₄₉	semidirect
421. #123	C₂×D₁₄₉	semidirect
425. C₂²⋊Q₈	C₂×D₁₄₉	semidirect
426. C₂²⋊Q₈	C₂×D₁₄₉	semidirect
447. #121	C₂×D₁₄₉	semidirect
448. #121	C₂×D₁₄₉	semidirect
454. #120	C₂×D₁₄₉	semidirect
475. C₄×D₄	C₂×D₁₄₉	semidirect
476. C₄×D₄	C₂×D₁₄₉	semidirect
480. #117	C₂×D₁₄₉	semidirect

Maximal subgroups

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

subgroup	index
#23750338	2
#23750333	2
#23750327	2
#23750324	2
#23750319	2
#23750294	2
#23750270	2
#23750266	2
#23750263	2
#23750262	2
#23750259	2
#23750257	2
#23750227	2
#23750211	2
#23750208	2
#23750170	2
#23750161	2
#23750138	2
C₂×#18011885	2
#121×D₁₄₉	2
#23750097	2
C₂×C₄×C₂²⋊D₁₄₉	2
#525×C₁₄₉	2
#3519	149