Subgroups — C₃₇×#61649 #22682902

Order 9472.

2042 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₇×#3485	C₂	1	1	yes	maximal, characteristic
3	C₃₇×#3323	C₂	1	4	yes	maximal, complemented
4	C₃₇×#3315	C₂	1	4	yes	maximal, complemented
5	C₃₇×#3276	C₂	1	4	yes	maximal, complemented
6	C₃₇×#3266	C₂	1	4	yes	maximal, complemented
7	C₃₇×#3223	C₂	1	2	yes	maximal, complemented
8	C₃₇×#3202	C₂	1	2	yes	maximal, complemented
9	C₃₇×#3196	C₂	1	2	yes	maximal, complemented
10	C₃₇×#3123	C₂	1	2	yes	maximal, complemented
11	C₃₇×#3009	C₂	1	2	yes	maximal, complemented
12	C₃₇×#3007	C₂	1	2	yes	maximal, complemented
13	C₃₇×#2978	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×H(5,𝔽₂)×C₃₇	C₂²	1	1	yes	characteristic
15	C₂²×#41×C₃₇	C₂²	1	1	yes	characteristic
16	C₂×#137×C₃₇	C₂²	1	4	yes	complemented
17	C₂×#137×C₃₇	C₂²	1	2	yes	complemented
18	C₂²×SD₁₆×C₃₇	C₂²	1	2	yes	complemented
19	C₃₇×#563	—	2	2	no	—
20	C₃₇×#552	C₂²	1	4	yes	complemented
21	C₃₇×#551	—	2	2	no	—
22	D₄×Q₈×C₃₇	C₂²	1	4	yes	complemented
23	C₃₇×#547	—	2	2	no	—
24	C₃₇×#547	C₂²	1	4	yes	—
25	C₃₇×#546	—	2	2	no	—
26	C₃₇×#546	C₂²	1	4	yes	—
27	C₃₇×#544	—	2	2	no	—
28	C₃₇×#541	C₂²	1	2	yes	complemented
29	C₃₇×#539	—	2	2	no	—
30	C₃₇×#536	C₂²	1	1	yes	characteristic
31	C₃₇×#536	C₂²	1	1	yes	characteristic
32	C₃₇×#536	C₂²	1	2	yes	—
33	C₃₇×#534	—	2	2	no	—
34	C₃₇×#525	C₂²	1	1	yes	characteristic
35	C₃₇×#525	C₂²	1	1	yes	characteristic
36	C₂×#123×C₃₇	—	2	2	no	—
37	C₂×C₂²⋊Q₈×C₃₇	C₂²	1	2	yes	complemented
38	C₃₇×#518	C₂²	1	1	yes	characteristic
39	C₃₇×#497	C₂²	1	2	yes	complemented
40	C₃₇×#494	C₂²	1	2	yes	complemented
41	C₃₇×#491	C₂²	1	2	yes	complemented
42	C₃₇×#488	C₂²	1	2	yes	complemented
43	C₃₇×#485	C₂²	1	4	yes	complemented
44	C₃₇×#485	C₂²	1	4	yes	complemented
45	C₃₇×#484	C₂²	1	2	yes	complemented
46	C₃₇×#481	C₂²	1	2	yes	complemented
47	C₃₇×#478	C₂²	1	4	yes	complemented
48	C₃₇×#470	C₂²	1	4	yes	complemented
49	C₃₇×#470	C₂²	1	4	yes	complemented
50	C₃₇×#468	C₂²	1	4	yes	complemented
51	C₃₇×#467	C₂²	1	4	yes	complemented
52	C₃₇×#464	C₂²	1	4	yes	complemented
53	C₃₇×#462	C₂²	1	4	yes	complemented
54	C₃₇×#461	C₂²	1	4	yes	complemented
55	C₃₇×#452	C₂²	1	4	yes	—
56	C₃₇×#452	C₂²	1	4	yes	complemented
57	C₃₇×#452	C₂²	1	4	yes	complemented
58	C₃₇×#452	C₂²	1	4	yes	complemented
59	C₃₇×#451	C₂²	1	2	yes	complemented
60	C₃₇×#451	C₂²	1	4	yes	complemented
61	C₃₇×#451	C₂²	1	4	yes	complemented
62	C₃₇×#450	C₂²	1	4	yes	—
63	C₃₇×#450	C₂²	1	4	yes	complemented
64	C₃₇×#448	C₂²	1	2	yes	complemented
65	C₃₇×#440	C₂²	1	4	yes	complemented
66	C₄×SD₁₆×C₃₇	C₂²	1	4	yes	complemented
67	C₃₇×#436	C₂²	1	4	yes	complemented
68	C₃₇×#435	C₂²	1	4	yes	complemented
69	C₃₇×#433	C₂²	1	2	yes	complemented
70	C₃₇×#418	C₂²	1	2	yes	complemented
71	C₃₇×#417	C₂²	1	4	yes	complemented
72	C₃₇×#416	C₂²	1	2	yes	complemented
73	C₃₇×#408	C₂²	1	2	yes	—
74	C₃₇×#407	C₂²	1	2	yes	complemented
75	H(5,𝔽₂)×C₃₇	—	4	4	no	—
76	C₂×#41×C₃₇	—	2	1	no	—
77	C₂×#41×C₃₇	—	2	2	no	—
78	C₂×#41×C₃₇	—	4	4	no	—
79	C₂×#41×C₃₇	C₂³	1	4	yes	—
80	C₂×#41×C₃₇	C₂³	1	2	yes	—
81	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
82	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
83	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
84	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
85	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
86	C₂²×D₄×C₃₇	—	2	1	no	—
87	C₂²×D₄×C₃₇	—	2	2	no	—
88	C₂²×D₄×C₃₇	—	2	1	no	—
89	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
90	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
91	C₂³×C₄×C₃₇	—	2	1	no	—
92	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
93	#137×C₃₇	—	4	8	no	—
94	#137×C₃₇	—	4	4	no	—
95	C₂×Q₁₆×C₃₇	C₂³	1	4	yes	—
96	C₂×Q₁₆×C₃₇	C₂³	1	4	yes	—
97	C₂×Q₁₆×C₃₇	C₂³	1	4	yes	—
98	C₂×SD₁₆×C₃₇	—	4	4	no	—
99	C₂×SD₁₆×C₃₇	C₂³	1	4	yes	—
100	C₂×SD₁₆×C₃₇	C₂³	1	4	yes	—
101	C₂×SD₁₆×C₃₇	C₂³	1	4	yes	—
102	C₂×M₁₆×C₃₇	C₂³	1	4	yes	—
103	C₂×M₁₆×C₃₇	C₂³	1	2	yes	—
104	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
105	C₄⋊Q₈×C₃₇	—	2	2	no	—
106	C₄⋊Q₈×C₃₇	—	2	1	no	—
107	C₄⋊Q₈×C₃₇	—	2	4	no	—
108	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
109	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
110	#126×C₃₇	—	2	4	no	—
111	#126×C₃₇	—	2	4	no	—
112	#125×C₃₇	—	2	4	no	—
113	#125×C₃₇	—	2	4	no	—
114	#125×C₃₇	C₂³	1	2	yes	—
115	#124×C₃₇	—	2	1	no	—
116	#124×C₃₇	—	2	2	no	—
117	#124×C₃₇	C₂³	1	2	yes	—
118	#123×C₃₇	—	2	2	no	—
119	#123×C₃₇	—	2	2	no	—
120	#123×C₃₇	—	2	2	no	—
121	#123×C₃₇	—	2	4	no	—
122	#123×C₃₇	—	2	1	no	—
123	#123×C₃₇	—	2	4	no	—
124	#123×C₃₇	—	2	2	no	—
125	#123×C₃₇	—	2	4	no	—
126	#123×C₃₇	—	2	4	no	—
127	#123×C₃₇	D₄	1	2	yes	—
128	C₂²⋊Q₈×C₃₇	—	2	2	no	—
129	C₂²⋊Q₈×C₃₇	—	2	2	no	—
130	C₂²⋊Q₈×C₃₇	—	2	2	no	—
131	C₂²⋊Q₈×C₃₇	—	2	4	no	—
132	C₂²⋊Q₈×C₃₇	—	2	4	no	—
133	C₂²⋊Q₈×C₃₇	D₄	1	2	yes	—
134	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
135	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
136	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
137	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
138	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
139	#121×C₃₇	—	2	4	no	—
140	#121×C₃₇	—	2	4	no	—
141	#121×C₃₇	D₄	1	2	yes	—
142	#121×C₃₇	C₂³	1	2	yes	—
143	#120×C₃₇	—	2	1	no	—
144	#120×C₃₇	—	2	4	no	—
145	#120×C₃₇	D₄	1	2	yes	—
146	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
147	C₄×D₄×C₃₇	—	2	4	no	—
148	C₄×D₄×C₃₇	—	2	2	no	—
149	C₄×D₄×C₃₇	—	2	2	no	—
150	C₄×D₄×C₃₇	C₂³	1	4	yes	—
151	C₄×D₄×C₃₇	C₂³	1	4	yes	—
152	#117×C₃₇	—	2	4	no	—
153	#117×C₃₇	C₂³	1	1	yes	characteristic
154	#117×C₃₇	C₂³	1	2	yes	—
155	#117×C₃₇	C₂³	1	1	yes	characteristic
156	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
157	C₂×C₄⋊C₄×C₃₇	—	2	4	no	—
158	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
159	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
160	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
161	C₂×C₂²⋊C₄×C₃₇	—	2	4	no	—
162	#107×C₃₇	C₂³	1	4	yes	—
163	#106×C₃₇	C₂³	1	4	yes	—
164	C₄⋊C₈×C₃₇	C₂³	1	4	yes	—
165	#103×C₃₇	C₂³	1	4	yes	—
166	#103×C₃₇	C₂³	1	4	yes	—
167	#103×C₃₇	C₂³	1	4	yes	—
168	#103×C₃₇	C₂³	1	4	yes	—
169	#103×C₃₇	C₂³	1	4	yes	—
170	#102×C₃₇	C₂³	1	4	yes	—
171	#102×C₃₇	C₂³	1	4	yes	—
172	#102×C₃₇	C₂³	1	4	yes	—
173	C₂²⋊C₈×C₃₇	C₂³	1	4	yes	—
174	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
175	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
176	C₂²⋊C₈×C₃₇	C₂³	1	4	yes	—
177	#97×C₃₇	C₂³	1	2	yes	—
178	C₄×C₈×C₃₇	C₂³	1	2	yes	—
179	C₂⁴×C₃₇	—	2	1	no	—
180	C₂⁴×C₃₇	—	2	2	no	—
181	C₂⁴×C₃₇	C₂×D₄	1	1	yes	characteristic
182	#41×C₃₇	—	2	8	no	—
183	#41×C₃₇	—	2	4	no	—
184	#41×C₃₇	—	4	2	no	—
185	#41×C₃₇	—	4	4	no	—
186	#41×C₃₇	—	4	2	no	—
187	#41×C₃₇	—	4	2	no	—
188	#41×C₃₇	—	4	8	no	—
189	#41×C₃₇	—	4	4	no	—
190	C₂×Q₈×C₃₇	—	2	1	no	—
191	C₂×Q₈×C₃₇	—	2	2	no	—
192	C₂×Q₈×C₃₇	—	2	2	no	—
193	C₂×Q₈×C₃₇	—	4	2	no	—
194	C₂×Q₈×C₃₇	—	4	2	no	—
195	C₂×Q₈×C₃₇	—	4	4	no	—
196	C₂×Q₈×C₃₇	—	4	2	no	—
197	C₂×Q₈×C₃₇	C₂×D₄	1	1	yes	characteristic
198	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
199	C₂×Q₈×C₃₇	C₂⁴	1	1	yes	characteristic
200	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
201	C₂×D₄×C₃₇	—	2	4	no	—
202	C₂×D₄×C₃₇	—	2	4	no	—
203	C₂×D₄×C₃₇	—	2	4	no	—
204	C₂×D₄×C₃₇	—	2	1	no	—
205	C₂×D₄×C₃₇	—	2	2	no	—
206	C₂×D₄×C₃₇	—	2	2	no	—
207	C₂×D₄×C₃₇	—	2	1	no	—
208	C₂×D₄×C₃₇	—	2	2	no	—
209	C₂×D₄×C₃₇	—	4	2	no	—
210	C₂×D₄×C₃₇	—	4	4	no	—
211	C₂×D₄×C₃₇	—	4	4	no	—
212	C₂×D₄×C₃₇	—	4	8	no	—
213	C₂×D₄×C₃₇	C₂×D₄	1	4	yes	—
214	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
215	C₂×D₄×C₃₇	C₂×D₄	1	1	yes	characteristic
216	C₂×D₄×C₃₇	C₂⁴	1	1	yes	characteristic
217	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
218	C₂²×C₄×C₃₇	—	2	2	no	—
219	C₂²×C₄×C₃₇	—	2	1	no	—
220	C₂²×C₄×C₃₇	—	2	2	no	—
221	C₂²×C₄×C₃₇	—	2	2	no	—
222	C₂²×C₄×C₃₇	—	2	4	no	—
223	C₂²×C₄×C₃₇	—	2	2	no	—
224	C₂²×C₄×C₃₇	—	2	1	no	—
225	C₂²×C₄×C₃₇	—	2	4	no	—
226	C₂²×C₄×C₃₇	—	4	2	no	—
227	C₂²×C₄×C₃₇	—	4	4	no	—
228	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
229	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
230	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
231	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
232	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
233	Q₁₆×C₃₇	—	4	4	no	—
234	Q₁₆×C₃₇	—	4	4	no	—
235	Q₁₆×C₃₇	—	4	4	no	—
236	SD₁₆×C₃₇	—	2	8	no	—
237	SD₁₆×C₃₇	—	2	8	no	—
238	SD₁₆×C₃₇	—	4	4	no	—
239	M₁₆×C₃₇	—	4	4	no	—
240	M₁₆×C₃₇	—	4	2	no	—
241	C₂×C₈×C₃₇	—	4	2	no	—
242	C₂×C₈×C₃₇	C₂⁴	1	4	yes	—
243	C₂×C₈×C₃₇	C₂⁴	1	4	yes	—
244	C₄⋊C₄×C₃₇	—	2	2	no	—
245	C₄⋊C₄×C₃₇	—	2	4	no	—
246	C₄⋊C₄×C₃₇	—	2	4	no	—
247	C₄⋊C₄×C₃₇	—	2	4	no	—
248	C₄⋊C₄×C₃₇	—	2	4	no	—
249	C₄⋊C₄×C₃₇	—	2	2	no	—
250	C₄⋊C₄×C₃₇	—	2	4	no	—
251	C₄⋊C₄×C₃₇	—	2	4	no	—
252	C₄⋊C₄×C₃₇	—	2	4	no	—
253	C₄⋊C₄×C₃₇	—	2	4	no	—
254	C₄⋊C₄×C₃₇	C₂×D₄	1	4	yes	—
255	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
256	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
257	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
258	C₂²⋊C₄×C₃₇	—	2	1	no	—
259	C₂²⋊C₄×C₃₇	—	2	4	no	—
260	C₂²⋊C₄×C₃₇	—	2	4	no	—
261	C₂²⋊C₄×C₃₇	—	2	4	no	—
262	C₂²⋊C₄×C₃₇	—	2	2	no	—
263	C₂²⋊C₄×C₃₇	—	2	2	no	—
264	C₂²⋊C₄×C₃₇	—	2	4	no	—
265	C₂²⋊C₄×C₃₇	—	2	2	no	—
266	C₂²⋊C₄×C₃₇	—	2	4	no	—
267	C₂²⋊C₄×C₃₇	—	2	4	no	—
268	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
269	C₂²⋊C₄×C₃₇	C₂×D₄	1	4	yes	—
270	C₂²⋊C₄×C₃₇	C₂×D₄	1	4	yes	—
271	C₄²×C₃₇	—	2	2	no	—
272	C₄²×C₃₇	—	2	4	no	—
273	C₄²×C₃₇	—	2	1	no	—
274	C₄²×C₃₇	C₂⁴	1	2	yes	—
275	C₂³×C₃₇	—	2	4	no	—
276	C₂³×C₃₇	—	2	2	no	—
277	C₂³×C₃₇	—	2	1	no	—
278	C₂³×C₃₇	—	4	1	no	—
279	C₂³×C₃₇	—	4	2	no	—
280	C₂³×C₃₇	—	4	4	no	—
281	C₂³×C₃₇	—	8	2	no	—
282	C₂³×C₃₇	—	8	4	no	—
283	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
284	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
285	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
286	Q₈×C₃₇	—	2	4	no	—
287	Q₈×C₃₇	—	2	4	no	—
288	Q₈×C₃₇	—	2	4	no	—
289	Q₈×C₃₇	—	2	2	no	—
290	Q₈×C₃₇	—	4	1	no	—
291	Q₈×C₃₇	—	4	2	no	—
292	Q₈×C₃₇	—	8	2	no	—
293	Q₈×C₃₇	—	8	2	no	—
294	D₄×C₃₇	—	2	4	no	—
295	D₄×C₃₇	—	2	2	no	—
296	D₄×C₃₇	—	2	2	no	—
297	D₄×C₃₇	—	4	1	no	—
298	D₄×C₃₇	—	4	2	no	—
299	D₄×C₃₇	—	4	4	no	—
300	D₄×C₃₇	—	4	4	no	—
301	D₄×C₃₇	—	4	4	no	—
302	D₄×C₃₇	—	4	8	no	—
303	D₄×C₃₇	—	4	2	no	—
304	D₄×C₃₇	—	8	2	no	—
305	D₄×C₃₇	H(5,𝔽₂)	1	4	yes	—
306	C₂×C₄×C₃₇	—	2	2	no	—
307	C₂×C₄×C₃₇	—	2	4	no	—
308	C₂×C₄×C₃₇	—	2	2	no	—
309	C₂×C₄×C₃₇	—	2	2	no	—
310	C₂×C₄×C₃₇	—	2	4	no	—
311	C₂×C₄×C₃₇	—	2	2	no	—
312	C₂×C₄×C₃₇	—	2	4	no	—
313	C₂×C₄×C₃₇	—	2	2	no	—
314	C₂×C₄×C₃₇	—	2	1	no	—
315	C₂×C₄×C₃₇	—	4	1	no	—
316	C₂×C₄×C₃₇	—	4	2	no	—
317	C₂×C₄×C₃₇	—	4	8	no	—
318	C₂×C₄×C₃₇	—	4	4	no	—
319	C₂×C₄×C₃₇	—	4	2	no	—
320	C₂×C₄×C₃₇	—	4	4	no	—
321	C₂×C₄×C₃₇	—	4	2	no	—
322	C₂×C₄×C₃₇	—	8	4	no	—
323	C₂×C₄×C₃₇	—	8	2	no	—
324	C₂×C₄×C₃₇	—	8	2	no	—
325	C₂×C₄×C₃₇	C₂²×D₄	1	4	yes	—
326	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
327	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
328	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
329	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
330	C₈×C₃₇	—	2	4	no	—
331	C₈×C₃₇	—	2	4	no	—
332	#61649	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
333	C₂²×C₃₇	—	2	2	no	—
334	C₂²×C₃₇	—	2	4	no	—
335	C₂²×C₃₇	—	2	2	no	—
336	C₂²×C₃₇	—	2	2	no	—
337	C₂²×C₃₇	—	2	1	no	—
338	C₂²×C₃₇	—	2	2	no	—
339	C₂²×C₃₇	—	2	2	no	—
340	C₂²×C₃₇	—	2	4	no	—
341	C₂²×C₃₇	—	4	4	no	—
342	C₂²×C₃₇	—	4	2	no	—
343	C₂²×C₃₇	—	4	1	no	—
344	C₂²×C₃₇	—	8	4	no	—
345	C₂²×C₃₇	—	8	2	no	—
346	C₂²×C₃₇	—	16	4	no	—
347	C₂²×C₃₇	C₂³×D₄	1	1	yes	characteristic
348	C₄×C₃₇	—	2	4	no	—
349	C₄×C₃₇	—	2	2	no	—
350	C₄×C₃₇	—	2	1	no	—
351	C₄×C₃₇	—	2	2	no	—
352	C₄×C₃₇	—	4	4	no	—
353	C₄×C₃₇	—	4	2	no	—
354	C₄×C₃₇	—	4	1	no	—
355	C₄×C₃₇	—	4	2	no	—
356	C₄×C₃₇	—	4	4	no	—
357	C₄×C₃₇	C₂×H(5,𝔽₂)	1	2	yes	—
358	#3538	C₂×C₃₇	1	1	yes	characteristic, complemented
359	#3485	C₂×C₃₇	1	1	yes	characteristic
360	#3323	C₂×C₃₇	1	4	yes	complemented
361	#3315	C₂×C₃₇	1	4	yes	complemented
362	#3276	C₂×C₃₇	1	4	yes	complemented
363	#3266	C₂×C₃₇	1	4	yes	complemented
364	#3223	C₂×C₃₇	1	2	yes	complemented
365	#3202	C₂×C₃₇	1	2	yes	complemented
366	#3196	C₂×C₃₇	1	2	yes	complemented
367	#3123	C₂×C₃₇	1	2	yes	complemented
368	#3009	C₂×C₃₇	1	2	yes	complemented
369	#3007	C₂×C₃₇	1	2	yes	complemented
370	#2978	C₂×C₃₇	1	1	yes	characteristic, complemented
371	C₂×C₃₇	—	4	2	no	—
372	C₂×C₃₇	—	4	1	no	—
373	C₂×C₃₇	—	4	2	no	—
374	C₂×C₃₇	—	4	4	no	—
375	C₂×C₃₇	—	8	1	no	—
376	C₂×C₃₇	#3484	1	1	yes	characteristic
377	C₂×C₃₇	#3586	1	2	yes	—
378	C₂×H(5,𝔽₂)	C₂²×C₃₇	1	1	yes	characteristic
379	C₂²×#41	C₂²×C₃₇	1	1	yes	characteristic
380	C₂×#137	C₂²×C₃₇	1	4	yes	complemented
381	C₂×#137	C₂²×C₃₇	1	2	yes	complemented
382	C₂²×SD₁₆	C₂²×C₃₇	1	2	yes	complemented
383	#563	—	2	2	no	—
384	#552	C₂²×C₃₇	1	4	yes	complemented
385	#551	—	2	2	no	—
386	D₄×Q₈	C₂²×C₃₇	1	4	yes	complemented
387	#547	—	2	2	no	—
388	#547	C₂²×C₃₇	1	4	yes	—
389	#546	—	2	2	no	—
390	#546	C₂²×C₃₇	1	4	yes	—
391	#544	—	2	2	no	—
392	#541	C₂²×C₃₇	1	2	yes	complemented
393	#539	—	2	2	no	—
394	#536	C₂²×C₃₇	1	1	yes	characteristic
395	#536	C₂²×C₃₇	1	1	yes	characteristic
396	#536	C₂²×C₃₇	1	2	yes	—
397	#534	—	2	2	no	—
398	#525	C₂²×C₃₇	1	1	yes	characteristic
399	#525	C₂²×C₃₇	1	1	yes	characteristic
400	C₂×#123	—	2	2	no	—
401	C₂×C₂²⋊Q₈	C₂²×C₃₇	1	2	yes	complemented
402	#518	C₂²×C₃₇	1	1	yes	characteristic
403	#497	C₂²×C₃₇	1	2	yes	complemented
404	#494	C₂²×C₃₇	1	2	yes	complemented
405	#491	C₂²×C₃₇	1	2	yes	complemented
406	#488	C₂²×C₃₇	1	2	yes	complemented
407	#485	C₂²×C₃₇	1	4	yes	complemented
408	#485	C₂²×C₃₇	1	4	yes	complemented
409	#484	C₂²×C₃₇	1	2	yes	complemented
410	#481	C₂²×C₃₇	1	2	yes	complemented
411	#478	C₂²×C₃₇	1	4	yes	complemented
412	#470	C₂²×C₃₇	1	4	yes	complemented
413	#470	C₂²×C₃₇	1	4	yes	complemented
414	#468	C₂²×C₃₇	1	4	yes	complemented
415	#467	C₂²×C₃₇	1	4	yes	complemented
416	#464	C₂²×C₃₇	1	4	yes	complemented
417	#462	C₂²×C₃₇	1	4	yes	complemented
418	#461	C₂²×C₃₇	1	4	yes	complemented
419	#452	C₂²×C₃₇	1	4	yes	—
420	#452	C₂²×C₃₇	1	4	yes	complemented
421	#452	C₂²×C₃₇	1	4	yes	complemented
422	#452	C₂²×C₃₇	1	4	yes	complemented
423	#451	C₂²×C₃₇	1	2	yes	complemented
424	#451	C₂²×C₃₇	1	4	yes	complemented
425	#451	C₂²×C₃₇	1	4	yes	complemented
426	#450	C₂²×C₃₇	1	4	yes	—
427	#450	C₂²×C₃₇	1	4	yes	complemented
428	#448	C₂²×C₃₇	1	2	yes	complemented
429	#440	C₂²×C₃₇	1	4	yes	complemented
430	C₄×SD₁₆	C₂²×C₃₇	1	4	yes	complemented
431	#436	C₂²×C₃₇	1	4	yes	complemented
432	#435	C₂²×C₃₇	1	4	yes	complemented
433	#433	C₂²×C₃₇	1	2	yes	complemented
434	#418	C₂²×C₃₇	1	2	yes	complemented
435	#417	C₂²×C₃₇	1	4	yes	complemented
436	#416	C₂²×C₃₇	1	2	yes	complemented
437	#408	C₂²×C₃₇	1	2	yes	—
438	#407	C₂²×C₃₇	1	2	yes	complemented
439	C₃₇	#61649	1	1	yes	characteristic, direct product factor, Sylow
440	H(5,𝔽₂)	—	4	4	no	—
441	C₂×#41	—	2	1	no	—
442	C₂×#41	—	2	2	no	—
443	C₂×#41	—	4	4	no	—
444	C₂×#41	C₂³×C₃₇	1	4	yes	—
445	C₂×#41	C₂³×C₃₇	1	2	yes	—
446	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
447	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
448	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
449	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
450	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
451	C₂²×D₄	—	2	1	no	—
452	C₂²×D₄	—	2	2	no	—
453	C₂²×D₄	—	2	1	no	—
454	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
455	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
456	C₂³×C₄	—	2	1	no	—
457	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
458	#137	—	4	8	no	—
459	#137	—	4	4	no	—
460	C₂×Q₁₆	C₂³×C₃₇	1	4	yes	—
461	C₂×Q₁₆	C₂³×C₃₇	1	4	yes	—
462	C₂×Q₁₆	C₂³×C₃₇	1	4	yes	—
463	C₂×SD₁₆	—	4	4	no	—
464	C₂×SD₁₆	C₂³×C₃₇	1	4	yes	—
465	C₂×SD₁₆	C₂³×C₃₇	1	4	yes	—
466	C₂×SD₁₆	C₂³×C₃₇	1	4	yes	—
467	C₂×M₁₆	C₂³×C₃₇	1	4	yes	—
468	C₂×M₁₆	C₂³×C₃₇	1	2	yes	—
469	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
470	C₄⋊Q₈	—	2	2	no	—
471	C₄⋊Q₈	—	2	1	no	—
472	C₄⋊Q₈	—	2	4	no	—
473	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
474	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
475	#126	—	2	4	no	—
476	#126	—	2	4	no	—
477	#125	—	2	4	no	—
478	#125	—	2	4	no	—
479	#125	C₂³×C₃₇	1	2	yes	—
480	#124	—	2	1	no	—
481	#124	—	2	2	no	—
482	#124	C₂³×C₃₇	1	2	yes	—
483	#123	—	2	2	no	—
484	#123	—	2	2	no	—
485	#123	—	2	2	no	—
486	#123	—	2	4	no	—
487	#123	—	2	1	no	—
488	#123	—	2	4	no	—
489	#123	—	2	2	no	—
490	#123	—	2	4	no	—
491	#123	—	2	4	no	—
492	#123	D₄×C₃₇	1	2	yes	—
493	C₂²⋊Q₈	—	2	2	no	—
494	C₂²⋊Q₈	—	2	2	no	—
495	C₂²⋊Q₈	—	2	2	no	—
496	C₂²⋊Q₈	—	2	4	no	—
497	C₂²⋊Q₈	—	2	4	no	—
498	C₂²⋊Q₈	D₄×C₃₇	1	2	yes	—
499	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
500	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
501	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
502	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
503	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
504	#121	—	2	4	no	—
505	#121	—	2	4	no	—
506	#121	D₄×C₃₇	1	2	yes	—
507	#121	C₂³×C₃₇	1	2	yes	—
508	#120	—	2	1	no	—
509	#120	—	2	4	no	—
510	#120	D₄×C₃₇	1	2	yes	—
511	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
512	C₄×D₄	—	2	4	no	—
513	C₄×D₄	—	2	2	no	—
514	C₄×D₄	—	2	2	no	—
515	C₄×D₄	C₂³×C₃₇	1	4	yes	—
516	C₄×D₄	C₂³×C₃₇	1	4	yes	—
517	#117	—	2	4	no	—
518	#117	C₂³×C₃₇	1	1	yes	characteristic
519	#117	C₂³×C₃₇	1	2	yes	—
520	#117	C₂³×C₃₇	1	1	yes	characteristic
521	C₂×C₄⋊C₄	—	2	2	no	—
522	C₂×C₄⋊C₄	—	2	4	no	—
523	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
524	C₂×C₂²⋊C₄	—	2	2	no	—
525	C₂×C₂²⋊C₄	—	2	2	no	—
526	C₂×C₂²⋊C₄	—	2	4	no	—
527	#107	C₂³×C₃₇	1	4	yes	—
528	#106	C₂³×C₃₇	1	4	yes	—
529	C₄⋊C₈	C₂³×C₃₇	1	4	yes	—
530	#103	C₂³×C₃₇	1	4	yes	—
531	#103	C₂³×C₃₇	1	4	yes	—
532	#103	C₂³×C₃₇	1	4	yes	—
533	#103	C₂³×C₃₇	1	4	yes	—
534	#103	C₂³×C₃₇	1	4	yes	—
535	#102	C₂³×C₃₇	1	4	yes	—
536	#102	C₂³×C₃₇	1	4	yes	—
537	#102	C₂³×C₃₇	1	4	yes	—
538	C₂²⋊C₈	C₂³×C₃₇	1	4	yes	—
539	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
540	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
541	C₂²⋊C₈	C₂³×C₃₇	1	4	yes	—
542	#97	C₂³×C₃₇	1	2	yes	—
543	C₄×C₈	C₂³×C₃₇	1	2	yes	—
544	C₂⁴	—	2	1	no	—
545	C₂⁴	—	2	2	no	—
546	C₂⁴	C₂×D₄×C₃₇	1	1	yes	characteristic
547	#41	—	2	8	no	—
548	#41	—	2	4	no	—
549	#41	—	4	2	no	—
550	#41	—	4	4	no	—
551	#41	—	4	2	no	—
552	#41	—	4	2	no	—
553	#41	—	4	8	no	—
554	#41	—	4	4	no	—
555	C₂×Q₈	—	2	1	no	—
556	C₂×Q₈	—	2	2	no	—
557	C₂×Q₈	—	2	2	no	—
558	C₂×Q₈	—	4	2	no	—
559	C₂×Q₈	—	4	2	no	—
560	C₂×Q₈	—	4	4	no	—
561	C₂×Q₈	—	4	2	no	—
562	C₂×Q₈	C₂×D₄×C₃₇	1	1	yes	characteristic
563	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
564	C₂×Q₈	C₂⁴×C₃₇	1	1	yes	characteristic
565	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
566	C₂×D₄	—	2	4	no	—
567	C₂×D₄	—	2	4	no	—
568	C₂×D₄	—	2	4	no	—
569	C₂×D₄	—	2	1	no	—
570	C₂×D₄	—	2	2	no	—
571	C₂×D₄	—	2	2	no	—
572	C₂×D₄	—	2	1	no	—
573	C₂×D₄	—	2	2	no	—
574	C₂×D₄	—	4	2	no	—
575	C₂×D₄	—	4	4	no	—
576	C₂×D₄	—	4	4	no	—
577	C₂×D₄	—	4	8	no	—
578	C₂×D₄	C₂×D₄×C₃₇	1	4	yes	—
579	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
580	C₂×D₄	C₂×D₄×C₃₇	1	1	yes	characteristic
581	C₂×D₄	C₂⁴×C₃₇	1	1	yes	characteristic
582	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
583	C₂²×C₄	—	2	2	no	—
584	C₂²×C₄	—	2	1	no	—
585	C₂²×C₄	—	2	2	no	—
586	C₂²×C₄	—	2	2	no	—
587	C₂²×C₄	—	2	4	no	—
588	C₂²×C₄	—	2	2	no	—
589	C₂²×C₄	—	2	1	no	—
590	C₂²×C₄	—	2	4	no	—
591	C₂²×C₄	—	4	2	no	—
592	C₂²×C₄	—	4	4	no	—
593	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
594	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
595	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
596	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
597	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
598	Q₁₆	—	4	4	no	—
599	Q₁₆	—	4	4	no	—
600	Q₁₆	—	4	4	no	—
601	SD₁₆	—	2	8	no	—
602	SD₁₆	—	2	8	no	—
603	SD₁₆	—	4	4	no	—
604	M₁₆	—	4	4	no	—
605	M₁₆	—	4	2	no	—
606	C₂×C₈	—	4	2	no	—
607	C₂×C₈	C₂⁴×C₃₇	1	4	yes	—
608	C₂×C₈	C₂⁴×C₃₇	1	4	yes	—
609	C₄⋊C₄	—	2	2	no	—
610	C₄⋊C₄	—	2	4	no	—
611	C₄⋊C₄	—	2	4	no	—
612	C₄⋊C₄	—	2	4	no	—
613	C₄⋊C₄	—	2	4	no	—
614	C₄⋊C₄	—	2	2	no	—
615	C₄⋊C₄	—	2	4	no	—
616	C₄⋊C₄	—	2	4	no	—
617	C₄⋊C₄	—	2	4	no	—
618	C₄⋊C₄	—	2	4	no	—
619	C₄⋊C₄	C₂×D₄×C₃₇	1	4	yes	—
620	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
621	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
622	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
623	C₂²⋊C₄	—	2	1	no	—
624	C₂²⋊C₄	—	2	4	no	—
625	C₂²⋊C₄	—	2	4	no	—
626	C₂²⋊C₄	—	2	4	no	—
627	C₂²⋊C₄	—	2	2	no	—
628	C₂²⋊C₄	—	2	2	no	—
629	C₂²⋊C₄	—	2	4	no	—
630	C₂²⋊C₄	—	2	2	no	—
631	C₂²⋊C₄	—	2	4	no	—
632	C₂²⋊C₄	—	2	4	no	—
633	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
634	C₂²⋊C₄	C₂×D₄×C₃₇	1	4	yes	—
635	C₂²⋊C₄	C₂×D₄×C₃₇	1	4	yes	—
636	C₄²	—	2	2	no	—
637	C₄²	—	2	4	no	—
638	C₄²	—	2	1	no	—
639	C₄²	C₂⁴×C₃₇	1	2	yes	—
640	C₂³	—	2	4	no	—
641	C₂³	—	2	2	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	4	1	no	—
644	C₂³	—	4	2	no	—
645	C₂³	—	4	4	no	—
646	C₂³	—	8	2	no	—
647	C₂³	—	8	4	no	—
648	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
649	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
650	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
651	Q₈	—	2	4	no	—
652	Q₈	—	2	4	no	—
653	Q₈	—	2	4	no	—
654	Q₈	—	2	2	no	—
655	Q₈	—	4	1	no	—
656	Q₈	—	4	2	no	—
657	Q₈	—	8	2	no	—
658	Q₈	—	8	2	no	—
659	D₄	—	2	4	no	—
660	D₄	—	2	2	no	—
661	D₄	—	2	2	no	—
662	D₄	—	4	1	no	—
663	D₄	—	4	2	no	—
664	D₄	—	4	4	no	—
665	D₄	—	4	4	no	—
666	D₄	—	4	4	no	—
667	D₄	—	4	8	no	—
668	D₄	—	4	2	no	—
669	D₄	—	8	2	no	—
670	D₄	H(5,𝔽₂)×C₃₇	1	4	yes	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	4	no	—
673	C₂×C₄	—	2	2	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	4	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	4	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	4	1	no	—
681	C₂×C₄	—	4	2	no	—
682	C₂×C₄	—	4	8	no	—
683	C₂×C₄	—	4	4	no	—
684	C₂×C₄	—	4	2	no	—
685	C₂×C₄	—	4	2	no	—
686	C₂×C₄	—	4	4	no	—
687	C₂×C₄	—	8	4	no	—
688	C₂×C₄	—	8	2	no	—
689	C₂×C₄	—	8	2	no	—
690	C₂×C₄	C₂²×D₄×C₃₇	1	4	yes	—
691	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
692	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
693	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
694	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
695	C₈	—	2	4	no	—
696	C₈	—	2	4	no	—
697	C₂²	—	2	1	no	—
698	C₂²	—	2	2	no	—
699	C₂²	—	2	2	no	—
700	C₂²	—	2	4	no	—
701	C₂²	—	2	2	no	—
702	C₂²	—	2	4	no	—
703	C₂²	—	2	2	no	—
704	C₂²	—	2	2	no	—
705	C₂²	—	4	4	no	—
706	C₂²	—	4	1	no	—
707	C₂²	—	4	2	no	—
708	C₂²	—	8	4	no	—
709	C₂²	—	8	2	no	—
710	C₂²	—	16	4	no	—
711	C₂²	C₂³×D₄×C₃₇	1	1	yes	characteristic
712	C₄	—	2	2	no	—
713	C₄	—	2	1	no	—
714	C₄	—	2	2	no	—
715	C₄	—	2	4	no	—
716	C₄	—	4	1	no	—
717	C₄	—	4	2	no	—
718	C₄	—	4	4	no	—
719	C₄	—	4	4	no	—
720	C₄	—	4	2	no	—
721	C₄	C₂×H(5,𝔽₂)×C₃₇	1	2	yes	—
722	C₂	—	4	1	no	—
723	C₂	—	4	2	no	—
724	C₂	—	4	2	no	—
725	C₂	—	4	4	no	—
726	C₂	—	8	1	no	—
727	C₂	C₃₇×#3484	1	1	yes	characteristic
728	C₂	C₃₇×#3586	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₃₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₇
prime radical	C₃₇×#3485	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₇ ◁ C₃₇×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₇×#3538	C₂	semidirect
3. C₃₇×#3323	C₂	semidirect
4. C₃₇×#3315	C₂	semidirect
5. C₃₇×#3276	C₂	semidirect
6. C₃₇×#3266	C₂	semidirect
7. C₃₇×#3223	C₂	semidirect
8. C₃₇×#3202	C₂	semidirect
9. C₃₇×#3196	C₂	semidirect
10. C₃₇×#3123	C₂	semidirect
11. C₃₇×#3009	C₂	semidirect
12. C₃₇×#3007	C₂	semidirect
13. C₃₇×#2978	C₂	semidirect
16. C₂×#137×C₃₇	C₂²	semidirect
17. C₂×#137×C₃₇	C₂²	semidirect
18. C₂²×SD₁₆×C₃₇	C₂²	semidirect
20. C₃₇×#552	C₂²	semidirect
22. D₄×Q₈×C₃₇	C₂²	semidirect
28. C₃₇×#541	C₂²	semidirect
37. C₂×C₂²⋊Q₈×C₃₇	C₂²	semidirect
39. C₃₇×#497	C₂²	semidirect
40. C₃₇×#494	C₂²	semidirect
41. C₃₇×#491	C₂²	semidirect
42. C₃₇×#488	C₂²	semidirect
43. C₃₇×#485	C₂²	semidirect
44. C₃₇×#485	C₂²	semidirect
45. C₃₇×#484	C₂²	semidirect
46. C₃₇×#481	C₂²	semidirect
47. C₃₇×#478	C₂²	semidirect
48. C₃₇×#470	C₂²	semidirect
49. C₃₇×#470	C₂²	semidirect
50. C₃₇×#468	C₂²	semidirect
51. C₃₇×#467	C₂²	semidirect
52. C₃₇×#464	C₂²	semidirect
53. C₃₇×#462	C₂²	semidirect
54. C₃₇×#461	C₂²	semidirect
56. C₃₇×#452	C₂²	semidirect
57. C₃₇×#452	C₂²	semidirect
58. C₃₇×#452	C₂²	semidirect
59. C₃₇×#451	C₂²	semidirect
60. C₃₇×#451	C₂²	semidirect
61. C₃₇×#451	C₂²	semidirect
63. C₃₇×#450	C₂²	semidirect
64. C₃₇×#448	C₂²	semidirect
65. C₃₇×#440	C₂²	semidirect
66. C₄×SD₁₆×C₃₇	C₂²	semidirect
67. C₃₇×#436	C₂²	semidirect
68. C₃₇×#435	C₂²	semidirect
69. C₃₇×#433	C₂²	semidirect
70. C₃₇×#418	C₂²	semidirect
71. C₃₇×#417	C₂²	semidirect
72. C₃₇×#416	C₂²	semidirect
74. C₃₇×#407	C₂²	semidirect
332. #61649	C₃₇	direct (N × H)
358. #3538	C₂×C₃₇	semidirect
360. #3323	C₂×C₃₇	semidirect
361. #3315	C₂×C₃₇	semidirect
362. #3276	C₂×C₃₇	semidirect
363. #3266	C₂×C₃₇	semidirect
364. #3223	C₂×C₃₇	semidirect
365. #3202	C₂×C₃₇	semidirect
366. #3196	C₂×C₃₇	semidirect
367. #3123	C₂×C₃₇	semidirect
368. #3009	C₂×C₃₇	semidirect
369. #3007	C₂×C₃₇	semidirect
370. #2978	C₂×C₃₇	semidirect
380. C₂×#137	C₂²×C₃₇	semidirect
381. C₂×#137	C₂²×C₃₇	semidirect
382. C₂²×SD₁₆	C₂²×C₃₇	semidirect
384. #552	C₂²×C₃₇	semidirect
386. D₄×Q₈	C₂²×C₃₇	semidirect
392. #541	C₂²×C₃₇	semidirect
401. C₂×C₂²⋊Q₈	C₂²×C₃₇	semidirect
403. #497	C₂²×C₃₇	semidirect
404. #494	C₂²×C₃₇	semidirect
405. #491	C₂²×C₃₇	semidirect
406. #488	C₂²×C₃₇	semidirect
407. #485	C₂²×C₃₇	semidirect
408. #485	C₂²×C₃₇	semidirect
409. #484	C₂²×C₃₇	semidirect
410. #481	C₂²×C₃₇	semidirect
411. #478	C₂²×C₃₇	semidirect
412. #470	C₂²×C₃₇	semidirect
413. #470	C₂²×C₃₇	semidirect
414. #468	C₂²×C₃₇	semidirect
415. #467	C₂²×C₃₇	semidirect
416. #464	C₂²×C₃₇	semidirect
417. #462	C₂²×C₃₇	semidirect
418. #461	C₂²×C₃₇	semidirect
420. #452	C₂²×C₃₇	semidirect
421. #452	C₂²×C₃₇	semidirect
422. #452	C₂²×C₃₇	semidirect
423. #451	C₂²×C₃₇	semidirect
424. #451	C₂²×C₃₇	semidirect
425. #451	C₂²×C₃₇	semidirect
427. #450	C₂²×C₃₇	semidirect
428. #448	C₂²×C₃₇	semidirect
429. #440	C₂²×C₃₇	semidirect
430. C₄×SD₁₆	C₂²×C₃₇	semidirect
431. #436	C₂²×C₃₇	semidirect
432. #435	C₂²×C₃₇	semidirect
433. #433	C₂²×C₃₇	semidirect
434. #418	C₂²×C₃₇	semidirect
435. #417	C₂²×C₃₇	semidirect
436. #416	C₂²×C₃₇	semidirect
438. #407	C₂²×C₃₇	semidirect
439. C₃₇	#61649	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃₇×#3538	2
C₃₇×#3485	2
C₃₇×#3323	2
C₃₇×#3315	2
C₃₇×#3276	2
C₃₇×#3266	2
C₃₇×#3223	2
C₃₇×#3202	2
C₃₇×#3196	2
C₃₇×#3123	2
C₃₇×#3009	2
C₃₇×#3007	2
C₃₇×#2978	2
#61649	37

Subgroups — C37×#61649 #22682902

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#61649 #22682902