Subgroups — #18008080

Order 4736.

1648 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#10596964	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#41×D₃₇	C₂	1	1	yes	maximal, characteristic, complemented
3	#14558201	C₂	1	1	yes	maximal, characteristic, complemented
4	#14558196	C₂	1	1	yes	maximal, characteristic, complemented
5	#14558192	C₂	1	1	yes	maximal, characteristic, complemented
6	#14558191	C₂	1	1	yes	maximal, characteristic, complemented
7	#14558182	C₂	1	1	yes	maximal, characteristic, complemented
8	#14558181	C₂	1	2	yes	maximal, complemented
9	#14558178	C₂	1	1	yes	maximal, characteristic, complemented
10	#14558173	C₂	1	2	yes	maximal, complemented
11	#14558172	C₂	1	2	yes	maximal, complemented
12	D₄×C₂²⋊D₃₇	C₂	1	1	yes	maximal, characteristic, complemented
13	#14558165	C₂	1	2	yes	maximal, complemented
14	#14558082	C₂	1	1	yes	maximal, characteristic, complemented
15	#14558078	C₂	1	2	yes	maximal, complemented
16	#14558046	C₂	1	1	yes	maximal, characteristic, complemented
17	#14558043	C₂	1	1	yes	maximal, characteristic, complemented
18	#14558041	C₂	1	2	yes	maximal, complemented
19	#14558039	C₂	1	2	yes	maximal, complemented
20	C₄×#10596964	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11924496	C₂	1	2	yes	maximal, complemented
22	C₄×D₄×D₃₇	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#10596966	C₂²	1	1	yes	characteristic, complemented
25	C₂×#10596962	C₂²	1	2	yes	complemented
26	C₂×#10596962	C₂²	1	1	yes	characteristic, complemented
27	C₂×#10596964	—	2	8	no	—
28	C₂×#10596964	C₂²	1	1	yes	characteristic
29	C₂×#10596964	C₂²	1	2	yes	complemented
30	C₂×#10596964	C₂²	1	2	yes	complemented
31	C₂×#10596964	C₂²	1	1	yes	characteristic, complemented
32	C₂×#10596964	C₂²	1	2	yes	complemented
33	C₂×#10596964	C₂²	1	1	yes	characteristic, complemented
34	C₂×#10596964	C₂²	1	1	yes	characteristic, complemented
35	#41×D₃₇	—	2	8	no	—
36	C₂²×Dic₇₄	C₂²	1	1	yes	characteristic, complemented
37	C₂×Q₈×D₃₇	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₂²⋊D₃₇	C₂²	1	2	yes	—
39	C₂²×C₂²⋊D₃₇	C₂²	1	2	yes	complemented
40	C₂×D₄×D₃₇	C₂²	1	1	yes	characteristic
41	C₂×D₄×D₃₇	C₂²	1	2	yes	complemented
42	C₂×D₄×D₃₇	C₂²	1	1	yes	characteristic, complemented
43	C₂³×Dic₃₇	C₂²	1	2	yes	complemented
44	C₂²×C₄×D₃₇	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₄×D₃₇	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₄×D₃₇	C₂²	1	2	yes	complemented
47	#11924535	C₂²	1	2	yes	complemented
48	#11924534	C₂²	1	1	yes	characteristic, complemented
49	#11924532	C₂²	1	2	yes	complemented
50	#11924532	C₂²	1	1	yes	characteristic, complemented
51	#11924524	C₂²	1	1	yes	characteristic, complemented
52	#11924522	C₂²	1	2	yes	complemented
53	#11924522	C₂²	1	2	yes	complemented
54	#11924521	C₂²	1	2	yes	complemented
55	#11924520	C₂²	1	2	yes	complemented
56	#11924519	C₂²	1	2	yes	complemented
57	#11924518	C₂²	1	2	yes	complemented
58	#11924517	C₂²	1	2	yes	complemented
59	#11924516	C₂²	1	1	yes	characteristic, complemented
60	#11924515	C₂²	1	1	yes	characteristic, complemented
61	#11924514	C₂²	1	2	yes	complemented
62	#11924514	C₂²	1	2	yes	complemented
63	#11924513	C₂²	1	2	yes	complemented
64	#11924513	C₂²	1	2	yes	complemented
65	#11924512	C₂²	1	1	yes	characteristic, complemented
66	#11924511	C₂²	1	1	yes	characteristic, complemented
67	#11924510	C₂²	1	1	yes	characteristic, complemented
68	#11924510	C₂²	1	2	yes	complemented
69	#11924509	C₂²	1	2	yes	complemented
70	#11924509	C₂²	1	2	yes	complemented
71	#11924509	C₂²	1	2	yes	complemented
72	#11924509	C₂²	1	2	yes	complemented
73	#11924508	C₂²	1	2	yes	complemented
74	#11924508	C₂²	1	2	yes	complemented
75	#11924508	C₂²	1	2	yes	complemented
76	#11924508	C₂²	1	2	yes	complemented
77	#11924507	C₂²	1	1	yes	characteristic, complemented
78	#11924506	C₂²	1	2	yes	complemented
79	#11924506	C₂²	1	2	yes	complemented
80	#11924505	C₂²	1	2	yes	complemented
81	#11924504	C₂²	1	2	yes	complemented
82	#11924504	C₂²	1	2	yes	complemented
83	C₄×Dic₇₄	C₂²	1	1	yes	characteristic, complemented
84	#11924501	C₂²	1	1	yes	characteristic, complemented
85	C₄×D₁₄₈	C₂²	1	1	yes	characteristic, complemented
86	D₄×Dic₃₇	C₂²	1	1	yes	characteristic, complemented
87	D₄×Dic₃₇	C₂²	1	1	yes	characteristic, complemented
88	D₄×Dic₃₇	C₂²	1	2	yes	complemented
89	#11924498	C₂²	1	1	yes	characteristic, complemented
90	#11924498	C₂²	1	2	yes	complemented
91	C₄×C₂²⋊D₃₇	C₂²	1	1	yes	characteristic
92	C₄×C₂²⋊D₃₇	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₂²⋊D₃₇	C₂²	1	2	yes	complemented
94	#11924496	C₂²	1	1	yes	characteristic
95	#11924496	C₂²	1	2	yes	—
96	#11924496	C₂²	1	1	yes	characteristic, complemented
97	#11924496	C₂²	1	2	yes	complemented
98	#11924496	C₂²	1	2	yes	complemented
99	#11924496	C₂²	1	2	yes	complemented
100	#11924496	C₂²	1	2	yes	complemented
101	#11924496	C₂²	1	2	yes	complemented
102	#11924496	C₂²	1	2	yes	complemented
103	#11924496	C₂²	1	2	yes	complemented
104	#11924496	C₂²	1	2	yes	complemented
105	#11924494	C₂²	1	1	yes	characteristic, complemented
106	#11924492	C₂²	1	2	yes	complemented
107	C₂×#10596936	C₂²	1	2	yes	complemented
108	C₄⋊C₄×D₃₇	C₂²	1	1	yes	characteristic, complemented
109	C₂×#10596938	C₂²	1	2	yes	complemented
110	C₂²⋊C₄×D₃₇	C₂²	1	1	yes	characteristic, complemented
111	C₂²⋊C₄×D₃₇	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₄×Dic₃₇	C₂²	1	2	yes	complemented
113	C₄²×D₃₇	C₂²	1	1	yes	characteristic, complemented
114	C₂×#41×C₃₇	C₂²	1	1	yes	characteristic, complemented
115	C₂²×D₄×C₃₇	C₂²	1	1	yes	characteristic, complemented
116	#124×C₃₇	C₂²	1	1	yes	characteristic, complemented
117	#123×C₃₇	C₂²	1	2	yes	complemented
118	C₂²⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
119	#121×C₃₇	C₂²	1	1	yes	characteristic, complemented
120	#121×C₃₇	C₂²	1	2	yes	complemented
121	#120×C₃₇	C₂²	1	2	yes	complemented
122	C₄×D₄×C₃₇	C₂²	1	1	yes	characteristic, complemented
123	C₄×D₄×C₃₇	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₂²⋊C₄×C₃₇	C₂²	1	2	yes	complemented
125	C₂⁴×C₃₇	C₂³	1	2	yes	—
126	C₂³×D₃₇	C₂³	1	1	yes	characteristic
127	C₂³×D₃₇	C₂³	1	1	yes	characteristic
128	C₂³×D₃₇	C₂³	1	2	yes	—
129	#41×C₃₇	—	2	4	no	—
130	C₂×Q₈×C₃₇	C₂³	1	1	yes	characteristic
131	C₂×D₄×C₃₇	—	2	4	no	—
132	C₂×D₄×C₃₇	C₂³	1	1	yes	characteristic
133	C₂×D₄×C₃₇	C₂³	1	2	yes	—
134	C₂×D₄×C₃₇	C₂³	1	1	yes	characteristic
135	C₂×D₄×C₃₇	C₂³	1	2	yes	—
136	C₂×D₄×C₃₇	C₂³	1	2	yes	—
137	C₂×D₄×C₃₇	C₂³	1	1	yes	characteristic
138	C₂²×C₄×C₃₇	C₂³	1	2	yes	—
139	C₂²×C₄×C₃₇	C₂³	1	1	yes	characteristic
140	C₂²×C₄×C₃₇	C₂³	1	1	yes	characteristic
141	C₂²×C₄×C₃₇	C₂³	1	2	yes	—
142	C₂×C₂²⋊D₃₇	—	2	8	no	—
143	C₂×C₂²⋊D₃₇	—	2	8	no	—
144	C₂×C₂²⋊D₃₇	C₂³	1	2	yes	—
145	C₂×C₂²⋊D₃₇	C₂³	1	2	yes	—
146	C₂×C₂²⋊D₃₇	C₂³	1	2	yes	—
147	C₂×C₂²⋊D₃₇	C₂³	1	1	yes	characteristic
148	C₂×C₂²⋊D₃₇	C₂³	1	2	yes	—
149	C₂×C₂²⋊D₃₇	C₂³	1	2	yes	—
150	C₂×C₂²⋊D₃₇	C₂³	1	2	yes	—
151	C₂×C₂²⋊D₃₇	C₂³	1	2	yes	—
152	C₂×C₂²⋊D₃₇	C₂³	1	2	yes	—
153	C₂×C₂²⋊D₃₇	C₂³	1	2	yes	—
154	C₂×C₂²⋊D₃₇	C₂³	1	2	yes	—
155	C₂×C₂²⋊D₃₇	C₂³	1	1	yes	characteristic
156	C₂²×Dic₃₇	—	2	8	no	—
157	C₂²×Dic₃₇	C₂³	1	2	yes	—
158	C₂²×Dic₃₇	C₂³	1	2	yes	—
159	C₂²×Dic₃₇	C₂³	1	1	yes	characteristic
160	C₂²×Dic₃₇	C₂³	1	2	yes	—
161	C₂²×Dic₃₇	C₂³	1	2	yes	—
162	C₂²×Dic₃₇	C₂³	1	2	yes	—
163	C₂²×Dic₃₇	C₂³	1	1	yes	characteristic
164	C₂²×Dic₃₇	C₂³	1	2	yes	—
165	#10596966	—	2	4	no	—
166	Q₈×D₃₇	—	2	4	no	—
167	#10596964	—	2	4	no	—
168	#10596964	—	2	8	no	—
169	#10596964	—	2	8	no	—
170	#10596964	—	2	8	no	—
171	#10596964	—	2	4	no	—
172	#10596964	—	2	4	no	—
173	#10596964	D₄	1	8	yes	complemented
174	D₄×D₃₇	—	2	4	no	—
175	D₄×D₃₇	—	2	8	no	—
176	D₄×D₃₇	—	2	4	no	—
177	#10596962	—	2	8	no	—
178	#10596962	—	2	4	no	—
179	C₂×D₁₄₈	C₂³	1	1	yes	characteristic
180	C₂×D₁₄₈	C₂³	1	2	yes	—
181	C₂×D₁₄₈	C₂³	1	1	yes	characteristic
182	C₂×D₁₄₈	C₂³	1	2	yes	—
183	C₂×C₄×D₃₇	—	2	8	no	—
184	C₂×C₄×D₃₇	—	2	4	no	—
185	C₂×C₄×D₃₇	—	2	4	no	—
186	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
187	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
188	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
189	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
190	C₂×C₄×D₃₇	C₂³	1	2	yes	—
191	C₂×C₄×D₃₇	C₂³	1	2	yes	—
192	C₂×C₄×D₃₇	C₂³	1	2	yes	—
193	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
194	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
195	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
196	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
197	C₂×C₄×D₃₇	C₂³	1	1	yes	characteristic
198	C₂×Dic₇₄	—	2	4	no	—
199	C₂×Dic₇₄	C₂³	1	2	yes	—
200	C₂×Dic₇₄	C₂³	1	2	yes	—
201	C₂×Dic₇₄	C₂³	1	1	yes	characteristic
202	C₂×Dic₇₄	C₂³	1	1	yes	characteristic
203	C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
204	C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
205	C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
206	C₂²⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
207	C₂²⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
208	C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
209	C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
210	C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
211	C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
212	C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
213	C₄²×C₃₇	C₂³	1	1	yes	characteristic
214	C₂²⋊Dic₃₇	C₂³	1	1	yes	characteristic
215	C₂²⋊Dic₃₇	C₂³	1	1	yes	characteristic
216	C₂²⋊Dic₃₇	C₂³	1	2	yes	—
217	C₂²⋊Dic₃₇	C₂³	1	2	yes	—
218	C₂²⋊Dic₃₇	C₂³	1	2	yes	—
219	#10596938	C₂³	1	1	yes	characteristic
220	#10596938	C₂³	1	1	yes	characteristic
221	#10596938	C₂³	1	1	yes	characteristic
222	#10596938	C₂³	1	1	yes	characteristic
223	#10596938	C₂³	1	2	yes	—
224	#10596938	C₂³	1	2	yes	—
225	#10596938	C₂³	1	2	yes	—
226	#10596938	C₂³	1	2	yes	—
227	#10596938	C₂³	1	2	yes	—
228	#10596938	C₂³	1	2	yes	—
229	#10596938	C₂³	1	2	yes	—
230	C₄⋊Dic₃₇	C₂³	1	1	yes	characteristic
231	C₄⋊Dic₃₇	C₂³	1	1	yes	characteristic
232	C₄⋊Dic₃₇	C₂³	1	2	yes	—
233	#10596936	C₂³	1	1	yes	characteristic
234	#10596936	C₂³	1	1	yes	characteristic
235	#10596936	C₂³	1	2	yes	—
236	#10596936	C₂³	1	2	yes	—
237	#10596936	C₂³	1	2	yes	—
238	#10596936	C₂³	1	2	yes	—
239	#10596936	C₂³	1	2	yes	—
240	#10596936	C₂³	1	2	yes	—
241	C₄×Dic₃₇	C₂³	1	1	yes	characteristic
242	C₄×Dic₃₇	C₂³	1	1	yes	characteristic
243	C₄×Dic₃₇	C₂³	1	1	yes	characteristic
244	C₄×Dic₃₇	C₂³	1	2	yes	—
245	C₄×Dic₃₇	C₂³	1	2	yes	—
246	C₄×Dic₃₇	C₂³	1	2	yes	—
247	C₂³×C₃₇	—	2	4	no	—
248	C₂³×C₃₇	—	2	4	no	—
249	C₂³×C₃₇	—	4	2	no	—
250	C₂³×C₃₇	C₂⁴	1	1	yes	characteristic
251	C₂³×C₃₇	C₂⁴	1	2	yes	—
252	C₂³×C₃₇	C₂⁴	1	2	yes	—
253	C₂³×C₃₇	C₂⁴	1	1	yes	characteristic
254	C₂²×D₃₇	—	2	4	no	—
255	C₂²×D₃₇	—	2	2	no	—
256	C₂²×D₃₇	—	2	2	no	—
257	C₂²×D₃₇	—	2	2	no	—
258	C₂²×D₃₇	—	2	2	no	—
259	C₂²×D₃₇	—	2	4	no	—
260	C₂²×D₃₇	—	4	1	no	—
261	C₂²×D₃₇	—	4	1	no	—
262	C₂²×D₃₇	—	4	2	no	—
263	C₂²×D₃₇	C₂⁴	1	2	yes	—
264	C₂²×D₃₇	C₂⁴	1	1	yes	characteristic
265	C₂²×D₃₇	C₂⁴	1	1	yes	characteristic
266	C₂²×D₃₇	C₂⁴	1	1	yes	characteristic
267	Q₈×C₃₇	—	2	2	no	—
268	D₄×C₃₇	—	2	4	no	—
269	D₄×C₃₇	—	2	4	no	—
270	D₄×C₃₇	—	2	2	no	—
271	D₄×C₃₇	—	2	2	no	—
272	D₄×C₃₇	—	4	2	no	—
273	D₄×C₃₇	C₂×D₄	1	4	yes	complemented
274	C₂×C₄×C₃₇	—	2	4	no	—
275	C₂×C₄×C₃₇	—	2	2	no	—
276	C₂×C₄×C₃₇	—	2	2	no	—
277	C₂×C₄×C₃₇	—	4	2	no	—
278	C₂×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
279	C₂×C₄×C₃₇	C₂⁴	1	2	yes	—
280	C₂×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
281	C₂×C₄×C₃₇	C₂⁴	1	2	yes	—
282	C₂×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
283	C₂×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
284	C₂×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
285	C₂²⋊D₃₇	—	2	4	no	—
286	C₂²⋊D₃₇	—	2	4	no	—
287	C₂²⋊D₃₇	—	2	4	no	—
288	C₂²⋊D₃₇	—	2	4	no	—
289	C₂²⋊D₃₇	—	2	4	no	—
290	C₂²⋊D₃₇	—	2	4	no	—
291	C₂²⋊D₃₇	—	2	4	no	—
292	C₂²⋊D₃₇	—	2	2	no	—
293	C₂²⋊D₃₇	—	2	4	no	—
294	C₂²⋊D₃₇	—	4	2	no	—
295	C₂²⋊D₃₇	C₂×D₄	1	8	yes	complemented
296	C₂²⋊D₃₇	#41	1	4	yes	complemented
297	C₂×Dic₃₇	—	2	4	no	—
298	C₂×Dic₃₇	—	2	4	no	—
299	C₂×Dic₃₇	—	2	2	no	—
300	C₂×Dic₃₇	—	2	2	no	—
301	C₂×Dic₃₇	—	2	4	no	—
302	C₂×Dic₃₇	—	2	4	no	—
303	C₂×Dic₃₇	—	2	4	no	—
304	C₂×Dic₃₇	C₂×D₄	1	8	yes	complemented
305	C₂×Dic₃₇	C₂⁴	1	1	yes	characteristic
306	C₂×Dic₃₇	C₂⁴	1	2	yes	—
307	C₂×Dic₃₇	C₂⁴	1	2	yes	—
308	C₂×Dic₃₇	C₂⁴	1	1	yes	characteristic
309	C₂×Dic₃₇	C₂⁴	1	1	yes	characteristic
310	C₂×Dic₃₇	C₂⁴	1	1	yes	characteristic
311	C₂×Dic₃₇	C₂⁴	1	2	yes	—
312	C₂×Dic₃₇	C₂⁴	1	1	yes	characteristic
313	D₁₄₈	—	2	4	no	—
314	D₁₄₈	—	2	2	no	—
315	D₁₄₈	—	2	2	no	—
316	D₁₄₈	—	4	2	no	—
317	C₄×D₃₇	—	2	2	no	—
318	C₄×D₃₇	—	2	2	no	—
319	C₄×D₃₇	—	2	2	no	—
320	C₄×D₃₇	—	2	2	no	—
321	C₄×D₃₇	—	2	2	no	—
322	C₄×D₃₇	—	2	4	no	—
323	C₄×D₃₇	—	2	4	no	—
324	C₄×D₃₇	—	2	2	no	—
325	C₄×D₃₇	—	2	4	no	—
326	C₄×D₃₇	—	2	2	no	—
327	C₄×D₃₇	—	4	1	no	—
328	C₄×D₃₇	C₂×D₄	1	4	yes	complemented
329	Dic₇₄	—	2	2	no	—
330	Dic₇₄	—	2	4	no	—
331	Dic₇₄	—	2	4	no	—
332	Dic₇₄	C₂×D₄	1	4	yes	complemented
333	C₂²×C₃₇	—	2	1	no	—
334	C₂²×C₃₇	—	2	2	no	—
335	C₂²×C₃₇	—	2	2	no	—
336	C₂²×C₃₇	—	2	1	no	—
337	C₂²×C₃₇	—	2	2	no	—
338	C₂²×C₃₇	—	2	1	no	—
339	C₂²×C₃₇	—	2	2	no	—
340	C₂²×C₃₇	—	2	1	no	—
341	C₂²×C₃₇	—	2	2	no	—
342	C₂²×C₃₇	—	2	1	no	—
343	C₂²×C₃₇	—	4	8	no	—
344	C₂²×C₃₇	C₂²×D₄	1	4	yes	—
345	C₂²×C₃₇	C₂×#41	1	2	yes	complemented
346	C₂²×C₃₇	C₂⁵	1	1	yes	characteristic
347	C₂×D₃₇	—	2	1	no	—
348	C₂×D₃₇	—	2	1	no	—
349	C₂×D₃₇	—	2	1	no	—
350	C₂×D₃₇	—	2	1	no	—
351	C₂×D₃₇	—	2	2	no	—
352	C₂×D₃₇	—	2	1	no	—
353	C₂×D₃₇	—	2	1	no	—
354	C₂×D₃₇	—	2	2	no	—
355	C₂×D₃₇	—	2	1	no	—
356	C₂×D₃₇	—	2	2	no	—
357	C₂×D₃₇	—	4	4	no	—
358	C₂×D₃₇	—	4	8	no	—
359	C₂×D₃₇	—	4	4	no	—
360	C₂×D₃₇	C₂²×D₄	1	2	yes	—
361	C₂×D₃₇	C₂×#41	1	2	yes	complemented
362	C₄×C₃₇	—	2	1	no	—
363	C₄×C₃₇	—	2	2	no	—
364	C₄×C₃₇	—	2	1	no	—
365	C₄×C₃₇	—	2	1	no	—
366	C₄×C₃₇	—	2	1	no	—
367	C₄×C₃₇	—	2	2	no	—
368	C₄×C₃₇	C₂²×D₄	1	2	yes	—
369	Dic₃₇	—	2	1	no	—
370	Dic₃₇	—	2	2	no	—
371	Dic₃₇	—	2	1	no	—
372	Dic₃₇	—	2	2	no	—
373	Dic₃₇	—	2	1	no	—
374	Dic₃₇	C₂²×D₄	1	4	yes	—
375	Dic₃₇	C₂²×D₄	1	2	yes	—
376	Dic₃₇	C₂×#41	1	2	yes	complemented
377	D₄×#41	—	37	1	no	maximal, Sylow
378	C₂×C₃₇	—	2	2	no	—
379	C₂×C₃₇	—	2	4	no	—
380	C₂×C₃₇	—	4	1	no	—
381	C₂×C₃₇	—	4	2	no	—
382	C₂×C₃₇	C₂³×D₄	1	1	yes	characteristic
383	C₂×C₃₇	C₂²×#41	1	1	yes	characteristic
384	C₂×C₃₇	#585	1	1	yes	characteristic
385	D₃₇	—	2	2	no	—
386	D₃₇	—	2	2	no	—
387	D₃₇	—	4	2	no	—
388	D₃₇	—	4	1	no	—
389	C₂²×#41	—	37	1	no	—
390	C₂²×#41	—	37	1	no	—
391	#550	—	37	1	no	—
392	D₄×Q₈	—	37	1	no	—
393	#548	—	37	1	no	—
394	#548	—	37	1	no	—
395	#547	—	37	1	no	—
396	#547	—	37	2	no	—
397	#546	—	37	2	no	—
398	#546	—	37	1	no	—
399	#546	—	37	2	no	—
400	#546	D₃₇	1	1	yes	characteristic, complemented
401	D₄²	—	37	1	no	—
402	D₄²	—	37	2	no	—
403	#532	—	37	1	no	—
404	#532	—	37	2	no	—
405	#525	—	37	2	no	—
406	#525	—	37	1	no	—
407	#525	—	37	1	no	—
408	#525	—	37	2	no	—
409	C₄×#41	—	37	1	no	—
410	C₂×C₄×D₄	—	37	1	no	—
411	C₂×C₄×D₄	—	37	2	no	—
412	C₃₇	D₄×#41	1	1	yes	characteristic, complemented, Sylow
413	C₂×#41	—	37	1	no	—
414	C₂×#41	—	37	1	no	—
415	C₂×#41	—	37	2	no	—
416	C₂×#41	—	37	2	no	—
417	C₂×#41	—	37	1	no	—
418	C₂×#41	—	37	1	no	—
419	C₂×#41	—	37	2	no	—
420	C₂×#41	—	37	1	no	—
421	C₂×#41	—	37	2	no	—
422	C₂×#41	—	37	1	no	—
423	C₂×#41	—	74	8	no	—
424	C₂×#41	—	74	8	no	—
425	C₂×#41	C₂×D₃₇	1	1	yes	characteristic, complemented
426	C₂²×Q₈	—	37	1	no	—
427	C₂²×Q₈	—	37	1	no	—
428	C₂²×D₄	—	37	2	no	—
429	C₂²×D₄	—	37	2	no	—
430	C₂²×D₄	—	37	1	no	—
431	C₂²×D₄	—	37	2	no	—
432	C₂²×D₄	—	37	1	no	—
433	C₂²×D₄	C₂×D₃₇	1	1	yes	characteristic, complemented
434	C₂³×C₄	—	37	2	no	—
435	C₂³×C₄	—	37	2	no	—
436	C₂³×C₄	—	37	1	no	—
437	C₂³×C₄	—	37	1	no	—
438	C₄⋊Q₈	—	37	1	no	—
439	C₄⋊Q₈	—	37	2	no	—
440	#127	—	37	2	no	—
441	#127	—	37	1	no	—
442	#124	—	37	2	no	—
443	#124	—	37	2	no	—
444	#124	—	37	1	no	—
445	#124	C₂×D₃₇	1	1	yes	characteristic, complemented
446	#123	—	37	2	no	—
447	#123	—	37	2	no	—
448	#123	—	37	2	no	—
449	#123	—	37	2	no	—
450	#123	—	37	2	no	—
451	#123	C₂×D₃₇	1	2	yes	complemented
452	C₂²⋊Q₈	—	37	1	no	—
453	C₂²⋊Q₈	—	37	1	no	—
454	C₂²⋊Q₈	—	37	2	no	—
455	C₂²⋊Q₈	—	37	1	no	—
456	C₂²⋊Q₈	—	37	2	no	—
457	C₂²⋊Q₈	—	37	2	no	—
458	C₂²⋊Q₈	—	37	2	no	—
459	C₂²⋊Q₈	C₂×D₃₇	1	1	yes	characteristic, complemented
460	#121	—	37	1	no	—
461	#121	—	37	2	no	—
462	#121	—	37	2	no	—
463	#121	—	37	2	no	—
464	#121	—	37	2	no	—
465	#121	—	37	1	no	—
466	#121	—	37	2	no	—
467	#121	—	37	1	no	—
468	#121	—	37	2	no	—
469	#121	—	37	2	no	—
470	#121	—	37	2	no	—
471	#121	—	37	2	no	—
472	#121	C₂×D₃₇	1	1	yes	characteristic, complemented
473	#121	C₂×D₃₇	1	2	yes	complemented
474	#120	—	37	2	no	—
475	#120	—	37	2	no	—
476	#120	—	37	2	no	—
477	#120	—	37	2	no	—
478	#120	—	37	2	no	—
479	#120	C₂×D₃₇	1	2	yes	complemented
480	C₄×Q₈	—	37	1	no	—
481	C₄×Q₈	—	37	1	no	—
482	C₄×D₄	—	37	1	no	—
483	C₄×D₄	—	37	1	no	—
484	C₄×D₄	—	37	2	no	—
485	C₄×D₄	—	37	1	no	—
486	C₄×D₄	—	37	1	no	—
487	C₄×D₄	—	37	2	no	—
488	C₄×D₄	—	37	1	no	—
489	C₄×D₄	—	37	2	no	—
490	C₄×D₄	—	37	1	no	—
491	C₄×D₄	—	37	2	no	—
492	C₄×D₄	—	37	2	no	—
493	C₄×D₄	—	37	2	no	—
494	C₄×D₄	—	37	1	no	—
495	C₄×D₄	—	37	2	no	—
496	C₄×D₄	—	37	2	no	—
497	C₄×D₄	—	37	2	no	—
498	C₄×D₄	—	37	2	no	—
499	C₄×D₄	—	37	2	no	—
500	C₄×D₄	—	37	2	no	—
501	C₄×D₄	—	37	1	no	—
502	C₄×D₄	C₂×D₃₇	1	1	yes	characteristic, complemented
503	C₄×D₄	C₂×D₃₇	1	1	yes	characteristic, complemented
504	#117	—	37	1	no	—
505	#117	—	37	2	no	—
506	C₂×C₄⋊C₄	—	37	2	no	—
507	C₂×C₄⋊C₄	—	37	1	no	—
508	C₂×C₂²⋊C₄	—	37	2	no	—
509	C₂×C₂²⋊C₄	—	37	1	no	—
510	C₂×C₂²⋊C₄	—	37	1	no	—
511	C₂×C₂²⋊C₄	C₂×D₃₇	1	2	yes	complemented
512	C₂×C₄²	—	37	2	no	—
513	C₂×C₄²	—	37	1	no	—
514	C₂⁴	—	37	1	no	—
515	C₂⁴	—	37	2	no	—
516	C₂⁴	—	37	1	no	—
517	C₂⁴	C₂²×D₃₇	1	2	yes	—
518	#41	—	2	4	no	—
519	#41	—	37	8	no	—
520	#41	—	74	8	no	—
521	#41	—	74	4	no	—
522	#41	—	74	8	no	—
523	#41	—	74	8	no	—
524	#41	—	74	4	no	—
525	#41	—	74	4	no	—
526	#41	—	74	8	no	—
527	#41	—	74	4	no	—
528	#41	—	74	4	no	—
529	C₂×Q₈	—	37	1	no	—
530	C₂×Q₈	—	37	2	no	—
531	C₂×Q₈	—	37	2	no	—
532	C₂×Q₈	—	37	1	no	—
533	C₂×Q₈	—	74	4	no	—
534	C₂×Q₈	—	74	4	no	—
535	C₂×Q₈	C₂²×D₃₇	1	1	yes	characteristic
536	C₂×D₄	—	2	4	no	—
537	C₂×D₄	—	37	1	no	—
538	C₂×D₄	—	37	2	no	—
539	C₂×D₄	—	37	2	no	—
540	C₂×D₄	—	37	2	no	—
541	C₂×D₄	—	37	1	no	—
542	C₂×D₄	—	37	2	no	—
543	C₂×D₄	—	37	2	no	—
544	C₂×D₄	—	37	2	no	—
545	C₂×D₄	—	37	2	no	—
546	C₂×D₄	—	37	2	no	—
547	C₂×D₄	—	37	2	no	—
548	C₂×D₄	—	37	2	no	—
549	C₂×D₄	—	37	1	no	—
550	C₂×D₄	—	37	2	no	—
551	C₂×D₄	—	37	1	no	—
552	C₂×D₄	—	37	2	no	—
553	C₂×D₄	—	74	4	no	—
554	C₂×D₄	—	74	8	no	—
555	C₂×D₄	—	74	8	no	—
556	C₂×D₄	—	74	8	no	—
557	C₂×D₄	—	74	4	no	—
558	C₂×D₄	C₂²×D₃₇	1	1	yes	characteristic
559	C₂×D₄	C₂²×D₃₇	1	2	yes	—
560	C₂×D₄	C₂²×D₃₇	1	2	yes	—
561	C₂×D₄	C₂²×D₃₇	1	1	yes	characteristic
562	C₂×D₄	C₂²×D₃₇	1	2	yes	—
563	C₂×D₄	C₂²×D₃₇	1	1	yes	characteristic
564	C₂²×C₄	—	37	2	no	—
565	C₂²×C₄	—	37	1	no	—
566	C₂²×C₄	—	37	2	no	—
567	C₂²×C₄	—	37	2	no	—
568	C₂²×C₄	—	37	1	no	—
569	C₂²×C₄	—	37	1	no	—
570	C₂²×C₄	—	37	2	no	—
571	C₂²×C₄	—	37	2	no	—
572	C₂²×C₄	—	37	2	no	—
573	C₂²×C₄	—	37	1	no	—
574	C₂²×C₄	—	37	1	no	—
575	C₂²×C₄	—	37	1	no	—
576	C₂²×C₄	—	37	1	no	—
577	C₂²×C₄	—	37	1	no	—
578	C₂²×C₄	—	37	2	no	—
579	C₂²×C₄	—	37	2	no	—
580	C₂²×C₄	—	37	1	no	—
581	C₂²×C₄	—	37	2	no	—
582	C₂²×C₄	—	37	1	no	—
583	C₂²×C₄	—	37	1	no	—
584	C₂²×C₄	—	74	8	no	—
585	C₂²×C₄	—	74	4	no	—
586	C₂²×C₄	—	74	4	no	—
587	C₂²×C₄	—	74	8	no	—
588	C₂²×C₄	C₂²×D₃₇	1	2	yes	—
589	C₂²×C₄	C₂²×D₃₇	1	1	yes	characteristic
590	C₂²×C₄	C₂²×D₃₇	1	1	yes	characteristic
591	C₂²×C₄	C₂²×D₃₇	1	2	yes	—
592	C₄⋊C₄	—	37	1	no	—
593	C₄⋊C₄	—	37	1	no	—
594	C₄⋊C₄	—	37	2	no	—
595	C₄⋊C₄	—	37	2	no	—
596	C₄⋊C₄	—	37	2	no	—
597	C₄⋊C₄	—	37	2	no	—
598	C₄⋊C₄	—	37	2	no	—
599	C₄⋊C₄	—	37	2	no	—
600	C₄⋊C₄	—	37	1	no	—
601	C₄⋊C₄	—	37	1	no	—
602	C₄⋊C₄	—	37	2	no	—
603	C₄⋊C₄	C₂²×D₃₇	1	1	yes	characteristic
604	C₄⋊C₄	C₂²×D₃₇	1	1	yes	characteristic
605	C₄⋊C₄	C₂²×D₃₇	1	2	yes	—
606	C₂²⋊C₄	—	37	1	no	—
607	C₂²⋊C₄	—	37	1	no	—
608	C₂²⋊C₄	—	37	2	no	—
609	C₂²⋊C₄	—	37	2	no	—
610	C₂²⋊C₄	—	37	2	no	—
611	C₂²⋊C₄	—	37	1	no	—
612	C₂²⋊C₄	—	37	1	no	—
613	C₂²⋊C₄	—	37	2	no	—
614	C₂²⋊C₄	—	37	1	no	—
615	C₂²⋊C₄	—	37	2	no	—
616	C₂²⋊C₄	—	37	1	no	—
617	C₂²⋊C₄	—	37	2	no	—
618	C₂²⋊C₄	—	37	2	no	—
619	C₂²⋊C₄	—	37	2	no	—
620	C₂²⋊C₄	—	37	2	no	—
621	C₂²⋊C₄	—	37	2	no	—
622	C₂²⋊C₄	C₂²×D₃₇	1	1	yes	characteristic
623	C₂²⋊C₄	C₂²×D₃₇	1	1	yes	characteristic
624	C₂²⋊C₄	C₂²×D₃₇	1	2	yes	—
625	C₂²⋊C₄	C₂²×D₃₇	1	2	yes	—
626	C₂²⋊C₄	C₂²×D₃₇	1	2	yes	—
627	C₂²⋊C₄	C₂²×D₃₇	1	2	yes	—
628	C₂²⋊C₄	C₂²×D₃₇	1	2	yes	—
629	C₄²	—	37	1	no	—
630	C₄²	—	37	2	no	—
631	C₄²	—	37	1	no	—
632	C₄²	—	37	2	no	—
633	C₄²	—	37	2	no	—
634	C₄²	—	37	1	no	—
635	C₄²	C₂²×D₃₇	1	1	yes	characteristic
636	C₂³	—	2	4	no	—
637	C₂³	—	2	4	no	—
638	C₂³	—	4	2	no	—
639	C₂³	—	37	1	no	—
640	C₂³	—	37	1	no	—
641	C₂³	—	37	2	no	—
642	C₂³	—	37	1	no	—
643	C₂³	—	74	2	no	—
644	C₂³	—	74	2	no	—
645	C₂³	—	74	4	no	—
646	C₂³	—	74	2	no	—
647	C₂³	—	74	4	no	—
648	C₂³	—	74	2	no	—
649	C₂³	—	148	2	no	—
650	C₂³	—	148	1	no	—
651	C₂³	—	148	1	no	—
652	C₂³	C₂³×D₃₇	1	1	yes	characteristic
653	C₂³	C₂³×D₃₇	1	2	yes	—
654	C₂³	C₂³×D₃₇	1	2	yes	—
655	C₂³	C₂³×D₃₇	1	1	yes	characteristic
656	Q₈	—	2	2	no	—
657	Q₈	—	37	4	no	—
658	Q₈	—	74	4	no	—
659	Q₈	—	74	4	no	—
660	Q₈	—	74	2	no	—
661	D₄	—	2	4	no	—
662	D₄	—	2	4	no	—
663	D₄	—	2	2	no	—
664	D₄	—	2	2	no	—
665	D₄	—	4	2	no	—
666	D₄	—	37	8	no	—
667	D₄	—	37	4	no	—
668	D₄	—	74	4	no	—
669	D₄	—	74	2	no	—
670	D₄	—	74	4	no	—
671	D₄	—	74	4	no	—
672	D₄	—	74	2	no	—
673	D₄	—	74	4	no	—
674	D₄	—	74	4	no	—
675	D₄	—	74	4	no	—
676	D₄	—	74	4	no	—
677	D₄	—	74	4	no	—
678	D₄	—	74	4	no	—
679	D₄	—	74	2	no	—
680	D₄	—	148	2	no	—
681	D₄	—	148	2	no	—
682	D₄	D₄×D₃₇	1	4	yes	complemented
683	C₂×C₄	—	2	4	no	—
684	C₂×C₄	—	2	2	no	—
685	C₂×C₄	—	2	2	no	—
686	C₂×C₄	—	4	2	no	—
687	C₂×C₄	—	37	8	no	—
688	C₂×C₄	—	37	1	no	—
689	C₂×C₄	—	37	1	no	—
690	C₂×C₄	—	37	2	no	—
691	C₂×C₄	—	37	4	no	—
692	C₂×C₄	—	37	2	no	—
693	C₂×C₄	—	37	1	no	—
694	C₂×C₄	—	37	1	no	—
695	C₂×C₄	—	37	1	no	—
696	C₂×C₄	—	37	2	no	—
697	C₂×C₄	—	74	2	no	—
698	C₂×C₄	—	74	4	no	—
699	C₂×C₄	—	74	4	no	—
700	C₂×C₄	—	74	2	no	—
701	C₂×C₄	—	74	4	no	—
702	C₂×C₄	—	74	2	no	—
703	C₂×C₄	—	74	2	no	—
704	C₂×C₄	—	74	2	no	—
705	C₂×C₄	—	74	2	no	—
706	C₂×C₄	—	74	4	no	—
707	C₂×C₄	—	74	2	no	—
708	C₂×C₄	—	74	4	no	—
709	C₂×C₄	—	74	4	no	—
710	C₂×C₄	—	74	4	no	—
711	C₂×C₄	—	74	4	no	—
712	C₂×C₄	—	74	2	no	—
713	C₂×C₄	—	74	2	no	—
714	C₂×C₄	—	148	1	no	—
715	C₂×C₄	C₂³×D₃₇	1	1	yes	characteristic
716	C₂×C₄	C₂³×D₃₇	1	2	yes	—
717	C₂×C₄	C₂³×D₃₇	1	1	yes	characteristic
718	C₂×C₄	C₂³×D₃₇	1	1	yes	characteristic
719	C₂×C₄	C₂³×D₃₇	1	1	yes	characteristic
720	C₂×C₄	C₂³×D₃₇	1	2	yes	—
721	C₂×C₄	C₂³×D₃₇	1	1	yes	characteristic
722	C₂²	—	2	1	no	—
723	C₂²	—	2	2	no	—
724	C₂²	—	2	2	no	—
725	C₂²	—	2	1	no	—
726	C₂²	—	2	1	no	—
727	C₂²	—	2	2	no	—
728	C₂²	—	2	1	no	—
729	C₂²	—	2	2	no	—
730	C₂²	—	2	1	no	—
731	C₂²	—	2	2	no	—
732	C₂²	—	4	8	no	—
733	C₂²	—	37	2	no	—
734	C₂²	—	37	2	no	—
735	C₂²	—	74	1	no	—
736	C₂²	—	74	1	no	—
737	C₂²	—	74	1	no	—
738	C₂²	—	74	1	no	—
739	C₂²	—	74	2	no	—
740	C₂²	—	74	1	no	—
741	C₂²	—	74	1	no	—
742	C₂²	—	74	2	no	—
743	C₂²	—	74	1	no	—
744	C₂²	—	74	2	no	—
745	C₂²	—	148	4	no	—
746	C₂²	—	148	8	no	—
747	C₂²	—	148	4	no	—
748	C₂²	C₂×D₄×D₃₇	1	4	yes	—
749	C₂²	#41×D₃₇	1	2	yes	complemented
750	C₂²	C₂⁴×D₃₇	1	1	yes	characteristic
751	C₄	—	2	1	no	—
752	C₄	—	2	1	no	—
753	C₄	—	2	2	no	—
754	C₄	—	2	1	no	—
755	C₄	—	2	1	no	—
756	C₄	—	2	2	no	—
757	C₄	—	37	2	no	—
758	C₄	—	37	4	no	—
759	C₄	—	37	2	no	—
760	C₄	—	74	1	no	—
761	C₄	—	74	1	no	—
762	C₄	—	74	2	no	—
763	C₄	—	74	2	no	—
764	C₄	—	74	1	no	—
765	C₄	C₂×D₄×D₃₇	1	2	yes	—
766	C₂	—	2	2	no	—
767	C₂	—	2	4	no	—
768	C₂	—	4	2	no	—
769	C₂	—	4	1	no	—
770	C₂	—	74	2	no	—
771	C₂	—	74	2	no	—
772	C₂	—	148	2	no	—
773	C₂	—	148	1	no	—
774	C₂	C₂²×D₄×D₃₇	1	1	yes	characteristic
775	C₂	C₂×#41×D₃₇	1	1	yes	characteristic
776	C₂	#14558368	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₃₇
commutator, socle, cosocle	C₂²×C₃₇	C₂⁵
Fitting	C₃₇×#546	C₂
hypercenter	#546	D₃₇
hypocenter	C₃₇	D₄×#41
LCS	G ▷ C₂²×C₃₇ ▷ C₃₇
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. C₂²×#10596964	C₂	semidirect
2. C₂×#41×D₃₇	C₂	semidirect
3. #14558201	C₂	semidirect
4. #14558196	C₂	semidirect
5. #14558192	C₂	semidirect
6. #14558191	C₂	semidirect
7. #14558182	C₂	semidirect
8. #14558181	C₂	semidirect
9. #14558178	C₂	semidirect
10. #14558173	C₂	semidirect
11. #14558172	C₂	semidirect
12. D₄×C₂²⋊D₃₇	C₂	semidirect
13. #14558165	C₂	semidirect
14. #14558082	C₂	semidirect
15. #14558078	C₂	semidirect
16. #14558046	C₂	semidirect
17. #14558043	C₂	semidirect
18. #14558041	C₂	semidirect
19. #14558039	C₂	semidirect
20. C₄×#10596964	C₂	semidirect
21. C₂×#11924496	C₂	semidirect
22. C₄×D₄×D₃₇	C₂	semidirect
23. C₃₇×#546	C₂	semidirect
24. C₂×#10596966	C₂²	semidirect
25. C₂×#10596962	C₂²	semidirect
26. C₂×#10596962	C₂²	semidirect
29. C₂×#10596964	C₂²	semidirect
30. C₂×#10596964	C₂²	semidirect
31. C₂×#10596964	C₂²	semidirect
32. C₂×#10596964	C₂²	semidirect
33. C₂×#10596964	C₂²	semidirect
34. C₂×#10596964	C₂²	semidirect
36. C₂²×Dic₇₄	C₂²	semidirect
37. C₂×Q₈×D₃₇	C₂²	semidirect
39. C₂²×C₂²⋊D₃₇	C₂²	semidirect
41. C₂×D₄×D₃₇	C₂²	semidirect
42. C₂×D₄×D₃₇	C₂²	semidirect
43. C₂³×Dic₃₇	C₂²	semidirect
44. C₂²×C₄×D₃₇	C₂²	semidirect
45. C₂²×C₄×D₃₇	C₂²	semidirect
46. C₂²×C₄×D₃₇	C₂²	semidirect
47. #11924535	C₂²	semidirect
48. #11924534	C₂²	semidirect
49. #11924532	C₂²	semidirect
50. #11924532	C₂²	semidirect
51. #11924524	C₂²	semidirect
52. #11924522	C₂²	semidirect
53. #11924522	C₂²	semidirect
54. #11924521	C₂²	semidirect
55. #11924520	C₂²	semidirect
56. #11924519	C₂²	semidirect
57. #11924518	C₂²	semidirect
58. #11924517	C₂²	semidirect
59. #11924516	C₂²	semidirect
60. #11924515	C₂²	semidirect
61. #11924514	C₂²	semidirect
62. #11924514	C₂²	semidirect
63. #11924513	C₂²	semidirect
64. #11924513	C₂²	semidirect
65. #11924512	C₂²	semidirect
66. #11924511	C₂²	semidirect
67. #11924510	C₂²	semidirect
68. #11924510	C₂²	semidirect
69. #11924509	C₂²	semidirect
70. #11924509	C₂²	semidirect
71. #11924509	C₂²	semidirect
72. #11924509	C₂²	semidirect
73. #11924508	C₂²	semidirect
74. #11924508	C₂²	semidirect
75. #11924508	C₂²	semidirect
76. #11924508	C₂²	semidirect
77. #11924507	C₂²	semidirect
78. #11924506	C₂²	semidirect
79. #11924506	C₂²	semidirect
80. #11924505	C₂²	semidirect
81. #11924504	C₂²	semidirect
82. #11924504	C₂²	semidirect
83. C₄×Dic₇₄	C₂²	semidirect
84. #11924501	C₂²	semidirect
85. C₄×D₁₄₈	C₂²	semidirect
86. D₄×Dic₃₇	C₂²	semidirect
87. D₄×Dic₃₇	C₂²	semidirect
88. D₄×Dic₃₇	C₂²	semidirect
89. #11924498	C₂²	semidirect
90. #11924498	C₂²	semidirect
92. C₄×C₂²⋊D₃₇	C₂²	semidirect
93. C₄×C₂²⋊D₃₇	C₂²	semidirect
96. #11924496	C₂²	semidirect
97. #11924496	C₂²	semidirect
98. #11924496	C₂²	semidirect
99. #11924496	C₂²	semidirect
100. #11924496	C₂²	semidirect
101. #11924496	C₂²	semidirect
102. #11924496	C₂²	semidirect
103. #11924496	C₂²	semidirect
104. #11924496	C₂²	semidirect
105. #11924494	C₂²	semidirect
106. #11924492	C₂²	semidirect
107. C₂×#10596936	C₂²	semidirect
108. C₄⋊C₄×D₃₇	C₂²	semidirect
109. C₂×#10596938	C₂²	semidirect
110. C₂²⋊C₄×D₃₇	C₂²	semidirect
111. C₂²⋊C₄×D₃₇	C₂²	semidirect
112. C₂×C₄×Dic₃₇	C₂²	semidirect
113. C₄²×D₃₇	C₂²	semidirect
114. C₂×#41×C₃₇	C₂²	semidirect
115. C₂²×D₄×C₃₇	C₂²	semidirect
116. #124×C₃₇	C₂²	semidirect
117. #123×C₃₇	C₂²	semidirect
118. C₂²⋊Q₈×C₃₇	C₂²	semidirect
119. #121×C₃₇	C₂²	semidirect
120. #121×C₃₇	C₂²	semidirect
121. #120×C₃₇	C₂²	semidirect
122. C₄×D₄×C₃₇	C₂²	semidirect
123. C₄×D₄×C₃₇	C₂²	semidirect
124. C₂×C₂²⋊C₄×C₃₇	C₂²	semidirect
173. #10596964	D₄	semidirect
273. D₄×C₃₇	C₂×D₄	semidirect
295. C₂²⋊D₃₇	C₂×D₄	semidirect
296. C₂²⋊D₃₇	#41	semidirect
304. C₂×Dic₃₇	C₂×D₄	semidirect
328. C₄×D₃₇	C₂×D₄	semidirect
332. Dic₇₄	C₂×D₄	semidirect
345. C₂²×C₃₇	C₂×#41	semidirect
361. C₂×D₃₇	C₂×#41	semidirect
376. Dic₃₇	C₂×#41	semidirect
400. #546	D₃₇	semidirect
412. C₃₇	D₄×#41	semidirect
425. C₂×#41	C₂×D₃₇	semidirect
433. C₂²×D₄	C₂×D₃₇	semidirect
445. #124	C₂×D₃₇	semidirect
451. #123	C₂×D₃₇	semidirect
459. C₂²⋊Q₈	C₂×D₃₇	semidirect
472. #121	C₂×D₃₇	semidirect
473. #121	C₂×D₃₇	semidirect
479. #120	C₂×D₃₇	semidirect
502. C₄×D₄	C₂×D₃₇	semidirect
503. C₄×D₄	C₂×D₃₇	semidirect
511. C₂×C₂²⋊C₄	C₂×D₃₇	semidirect
682. D₄	D₄×D₃₇	semidirect
749. C₂²	#41×D₃₇	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#10596964	2
C₂×#41×D₃₇	2
#14558201	2
#14558196	2
#14558192	2
#14558191	2
#14558182	2
#14558181	2
#14558178	2
#14558173	2
#14558172	2
D₄×C₂²⋊D₃₇	2
#14558165	2
#14558082	2
#14558078	2
#14558046	2
#14558043	2
#14558041	2
#14558039	2
C₄×#10596964	2
C₂×#11924496	2
C₄×D₄×D₃₇	2
C₃₇×#546	2
D₄×#41	37