Subgroups — C₃₇×#28292 #22649545

Order 9472.

850 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₇×#478	C₂	1	2	yes	maximal, complemented
2	C₃₇×#2330	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₇×#2328	C₂	1	1	yes	maximal, characteristic
4	C₃₇×#2067	C₂	1	2	yes	maximal, complemented
5	C₃₇×#2065	C₂	1	2	yes	maximal, complemented
6	C₃₇×#1982	C₂	1	2	yes	maximal
7	C₃₇×#1949	C₂	1	2	yes	maximal, complemented
8	C₃₇×#1843	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₇×#1802	C₂	1	2	yes	maximal, complemented
10	C₂×#127×C₃₇	C₂²	1	1	yes	characteristic
11	C₂×#125×C₃₇	C₂²	1	1	yes	characteristic
12	C₂×C₄×D₄×C₃₇	C₂²	1	2	yes	—
13	C₃₇×#478	—	2	8	no	—
14	C₂×#107×C₃₇	C₂²	1	2	yes	—
15	C₂×#106×C₃₇	C₂²	1	2	yes	—
16	C₂×C₄⋊C₈×C₃₇	C₂²	1	2	yes	—
17	C₂×C₄⋊C₈×C₃₇	C₂²	1	2	yes	—
18	C₂×C₄⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
20	C₂×#102×C₃₇	C₂²	1	2	yes	—
21	C₂×#102×C₃₇	C₂²	1	2	yes	—
22	C₂×#102×C₃₇	C₂²	1	2	yes	—
23	C₂×#102×C₃₇	C₂²	1	2	yes	—
24	C₃₇×#390	C₂²	1	2	yes	—
25	C₃₇×#389	—	2	2	no	—
26	C₃₇×#389	C₂²	1	2	yes	—
27	C₃₇×#387	—	2	2	no	—
28	C₃₇×#386	—	2	2	no	—
29	C₃₇×#386	—	2	2	no	—
30	C₃₇×#384	C₂²	1	1	yes	characteristic
31	C₃₇×#382	C₂²	1	1	yes	characteristic
32	C₄×C₄⋊C₄×C₃₇	C₂²	1	2	yes	—
33	C₃₇×#376	C₂²	1	1	yes	characteristic
34	C₃₇×#340	C₂²	1	2	yes	—
35	C₃₇×#340	C₂²	1	2	yes	—
36	C₂²×D₄×C₃₇	—	2	2	no	—
37	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
38	C₂³×C₄×C₃₇	—	2	2	no	—
39	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
40	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
41	#127×C₃₇	—	2	2	no	—
42	#127×C₃₇	Q₈	1	4	yes	—
43	#125×C₃₇	—	2	2	no	—
44	#125×C₃₇	D₄	1	4	yes	complemented
45	C₄×D₄×C₃₇	—	2	4	no	—
46	C₄×D₄×C₃₇	—	2	4	no	—
47	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
48	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
49	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
50	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
51	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
52	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
53	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
54	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
55	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
56	C₂×C₄²×C₃₇	—	2	2	no	—
57	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
58	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
59	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
60	#107×C₃₇	—	2	4	no	—
61	#106×C₃₇	—	2	4	no	—
62	C₄⋊C₈×C₃₇	—	2	4	no	—
63	C₄⋊C₈×C₃₇	—	2	4	no	—
64	C₄⋊C₈×C₃₇	—	4	1	no	—
65	C₄⋊C₈×C₃₇	—	4	1	no	—
66	#102×C₃₇	—	2	4	no	—
67	#102×C₃₇	—	2	4	no	—
68	#102×C₃₇	—	4	2	no	—
69	#102×C₃₇	—	4	2	no	—
70	#95×C₃₇	—	2	2	no	—
71	#95×C₃₇	—	2	2	no	—
72	#95×C₃₇	—	2	2	no	—
73	#95×C₃₇	D₄	1	2	yes	—
74	#95×C₃₇	D₄	1	2	yes	—
75	C₂⁴×C₃₇	—	2	2	no	—
76	C₂×D₄×C₃₇	—	2	8	no	—
77	C₂×D₄×C₃₇	—	2	2	no	—
78	C₂×D₄×C₃₇	—	2	2	no	—
79	C₂×D₄×C₃₇	—	2	2	no	—
80	C₂×D₄×C₃₇	—	2	2	no	—
81	C₂×D₄×C₃₇	—	2	2	no	—
82	C₂×D₄×C₃₇	—	8	2	no	—
83	C₂×D₄×C₃₇	—	8	2	no	—
84	C₂×D₄×C₃₇	C₂×Q₈	1	4	yes	—
85	C₂²×C₄×C₃₇	—	2	2	no	—
86	C₂²×C₄×C₃₇	—	2	2	no	—
87	C₂²×C₄×C₃₇	—	2	2	no	—
88	C₂²×C₄×C₃₇	—	4	4	no	—
89	C₂²×C₄×C₃₇	—	8	2	no	—
90	C₂²×C₄×C₃₇	—	8	2	no	—
91	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
94	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
96	C₂×C₈×C₃₇	—	2	2	no	—
97	C₂×C₈×C₃₇	—	2	2	no	—
98	C₂×C₈×C₃₇	—	2	2	no	—
99	C₂×C₈×C₃₇	—	2	2	no	—
100	C₂×C₈×C₃₇	—	2	2	no	—
101	C₂×C₈×C₃₇	—	2	2	no	—
102	C₄⋊C₄×C₃₇	—	2	8	no	—
103	C₄⋊C₄×C₃₇	—	2	2	no	—
104	C₄⋊C₄×C₃₇	—	2	2	no	—
105	C₄⋊C₄×C₃₇	—	2	2	no	—
106	C₄⋊C₄×C₃₇	—	2	2	no	—
107	C₄⋊C₄×C₃₇	—	2	2	no	—
108	C₄⋊C₄×C₃₇	—	8	2	no	—
109	C₄⋊C₄×C₃₇	—	8	2	no	—
110	C₄⋊C₄×C₃₇	C₂×D₄	1	4	yes	—
111	C₂²⋊C₄×C₃₇	—	4	4	no	—
112	C₂²⋊C₄×C₃₇	—	8	2	no	—
113	C₂²⋊C₄×C₃₇	—	8	2	no	—
114	C₄²×C₃₇	—	2	1	no	—
115	C₄²×C₃₇	—	2	1	no	—
116	C₄²×C₃₇	—	8	2	no	—
117	C₄²×C₃₇	C₂×D₄	1	2	yes	—
118	C₄²×C₃₇	C₂×Q₈	1	2	yes	—
119	C₄²×C₃₇	#41	1	2	yes	—
120	C₄²×C₃₇	#41	1	2	yes	—
121	C₂³×C₃₇	—	2	4	no	—
122	C₂³×C₃₇	—	4	2	no	—
123	C₂³×C₃₇	—	4	2	no	—
124	C₂³×C₃₇	—	4	2	no	—
125	C₂³×C₃₇	—	4	2	no	—
126	C₂³×C₃₇	—	4	2	no	—
127	C₂³×C₃₇	—	4	2	no	—
128	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
129	D₄×C₃₇	—	2	4	no	—
130	D₄×C₃₇	—	2	4	no	—
131	D₄×C₃₇	—	4	2	no	—
132	D₄×C₃₇	—	4	2	no	—
133	D₄×C₃₇	—	8	8	no	—
134	C₂×C₄×C₃₇	—	2	2	no	—
135	C₂×C₄×C₃₇	—	2	2	no	—
136	C₂×C₄×C₃₇	—	2	2	no	—
137	C₂×C₄×C₃₇	—	2	2	no	—
138	C₂×C₄×C₃₇	—	2	4	no	—
139	C₂×C₄×C₃₇	—	2	1	no	—
140	C₂×C₄×C₃₇	—	2	1	no	—
141	C₂×C₄×C₃₇	—	2	2	no	—
142	C₂×C₄×C₃₇	—	2	2	no	—
143	C₂×C₄×C₃₇	—	4	2	no	—
144	C₂×C₄×C₃₇	—	4	2	no	—
145	C₂×C₄×C₃₇	—	4	2	no	—
146	C₂×C₄×C₃₇	—	4	2	no	—
147	C₂×C₄×C₃₇	—	4	2	no	—
148	C₂×C₄×C₃₇	—	4	2	no	—
149	C₂×C₄×C₃₇	—	4	2	no	—
150	C₂×C₄×C₃₇	—	4	2	no	—
151	C₂×C₄×C₃₇	—	8	8	no	—
152	C₂×C₄×C₃₇	#121	1	4	yes	—
153	C₂×C₄×C₃₇	C₂²⋊Q₈	1	4	yes	—
154	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
155	C₂×C₄×C₃₇	C₂²×Q₈	1	1	yes	characteristic
156	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
157	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
158	C₂×C₄×C₃₇	H(5,𝔽₂)	1	1	yes	characteristic
159	C₂×C₄×C₃₇	2₋¹⁺⁴	1	1	yes	characteristic
160	C₈×C₃₇	—	4	2	no	—
161	C₈×C₃₇	—	4	2	no	—
162	#28292	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
163	C₂²×C₃₇	—	4	4	no	—
164	C₂²×C₃₇	—	4	4	no	—
165	C₂²×C₃₇	—	4	4	no	—
166	C₂²×C₃₇	—	8	2	no	—
167	C₂²×C₃₇	—	8	2	no	—
168	C₂²×C₃₇	—	8	2	no	—
169	C₂²×C₃₇	—	8	2	no	—
170	C₂²×C₃₇	C₂×#121	1	1	yes	characteristic
171	C₂²×C₃₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
172	C₂²×C₃₇	#537	1	1	yes	characteristic
173	C₂²×C₃₇	#576	1	2	yes	—
174	C₂²×C₃₇	#577	1	2	yes	—
175	C₄×C₃₇	—	2	4	no	—
176	C₄×C₃₇	—	2	4	no	—
177	C₄×C₃₇	—	4	1	no	—
178	C₄×C₃₇	—	4	1	no	—
179	C₄×C₃₇	—	4	4	no	—
180	C₄×C₃₇	—	8	2	no	—
181	C₄×C₃₇	—	8	2	no	—
182	C₄×C₃₇	D₄×Q₈	1	1	yes	characteristic
183	C₄×C₃₇	#550	1	1	yes	characteristic
184	C₄×C₃₇	#554	1	1	yes	characteristic
185	C₄×C₃₇	#556	1	1	yes	characteristic
186	C₂×#478	C₂×C₃₇	1	2	yes	complemented
187	#2330	C₂×C₃₇	1	1	yes	characteristic, complemented
188	#2328	C₂×C₃₇	1	1	yes	characteristic
189	#2067	C₂×C₃₇	1	2	yes	complemented
190	#2065	C₂×C₃₇	1	2	yes	complemented
191	#1982	C₂×C₃₇	1	2	yes	—
192	#1949	C₂×C₃₇	1	2	yes	complemented
193	#1843	C₂×C₃₇	1	1	yes	characteristic, complemented
194	#1802	C₂×C₃₇	1	2	yes	complemented
195	C₂×C₃₇	—	8	4	no	—
196	C₂×C₃₇	#2538	1	1	yes	characteristic
197	C₂×C₃₇	#3045	1	2	yes	—
198	C₂×C₃₇	#3081	1	2	yes	—
199	C₂×C₃₇	#3259	1	1	yes	characteristic
200	C₂×C₃₇	#3260	1	1	yes	characteristic
201	C₂×#127	C₂²×C₃₇	1	1	yes	characteristic
202	C₂×#125	C₂²×C₃₇	1	1	yes	characteristic
203	C₂×C₄×D₄	C₂²×C₃₇	1	2	yes	—
204	#478	—	2	8	no	—
205	C₂×#107	C₂²×C₃₇	1	2	yes	—
206	C₂×#106	C₂²×C₃₇	1	2	yes	—
207	C₂×C₄⋊C₈	C₂²×C₃₇	1	2	yes	—
208	C₂×C₄⋊C₈	C₂²×C₃₇	1	2	yes	—
209	C₂×C₄⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
210	C₂×C₄⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
211	C₂×#102	C₂²×C₃₇	1	2	yes	—
212	C₂×#102	C₂²×C₃₇	1	2	yes	—
213	C₂×#102	C₂²×C₃₇	1	2	yes	—
214	C₂×#102	C₂²×C₃₇	1	2	yes	—
215	#390	C₂²×C₃₇	1	2	yes	—
216	#389	—	2	2	no	—
217	#389	C₂²×C₃₇	1	2	yes	—
218	#387	—	2	2	no	—
219	#386	—	2	2	no	—
220	#386	—	2	2	no	—
221	#384	C₂²×C₃₇	1	1	yes	characteristic
222	#382	C₂²×C₃₇	1	1	yes	characteristic
223	C₄×C₄⋊C₄	C₂²×C₃₇	1	2	yes	—
224	#376	C₂²×C₃₇	1	1	yes	characteristic
225	#340	C₂²×C₃₇	1	2	yes	—
226	#340	C₂²×C₃₇	1	2	yes	—
227	C₃₇	#28292	1	1	yes	characteristic, direct product factor, Sylow
228	C₂²×D₄	—	2	2	no	—
229	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
230	C₂³×C₄	—	2	2	no	—
231	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
232	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
233	#127	—	2	2	no	—
234	#127	Q₈×C₃₇	1	4	yes	—
235	#125	—	2	2	no	—
236	#125	D₄×C₃₇	1	4	yes	complemented
237	C₄×D₄	—	2	4	no	—
238	C₄×D₄	—	2	4	no	—
239	C₂×C₄⋊C₄	—	2	2	no	—
240	C₂×C₄⋊C₄	—	2	2	no	—
241	C₂×C₄⋊C₄	—	2	2	no	—
242	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
243	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
244	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
245	C₂×C₂²⋊C₄	—	2	2	no	—
246	C₂×C₂²⋊C₄	—	2	2	no	—
247	C₂×C₂²⋊C₄	—	2	2	no	—
248	C₂×C₄²	—	2	2	no	—
249	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
250	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
251	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
252	#107	—	2	4	no	—
253	#106	—	2	4	no	—
254	C₄⋊C₈	—	2	4	no	—
255	C₄⋊C₈	—	2	4	no	—
256	C₄⋊C₈	—	4	1	no	—
257	C₄⋊C₈	—	4	1	no	—
258	#102	—	2	4	no	—
259	#102	—	2	4	no	—
260	#102	—	4	2	no	—
261	#102	—	4	2	no	—
262	#95	—	2	2	no	—
263	#95	—	2	2	no	—
264	#95	—	2	2	no	—
265	#95	D₄×C₃₇	1	2	yes	—
266	#95	D₄×C₃₇	1	2	yes	—
267	C₂⁴	—	2	2	no	—
268	C₂×D₄	—	2	8	no	—
269	C₂×D₄	—	2	2	no	—
270	C₂×D₄	—	2	2	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	—	2	2	no	—
274	C₂×D₄	—	8	2	no	—
275	C₂×D₄	—	8	2	no	—
276	C₂×D₄	C₂×Q₈×C₃₇	1	4	yes	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	—	2	2	no	—
279	C₂²×C₄	—	2	2	no	—
280	C₂²×C₄	—	4	4	no	—
281	C₂²×C₄	—	8	2	no	—
282	C₂²×C₄	—	8	2	no	—
283	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
284	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
285	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
286	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
287	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	—	2	2	no	—
291	C₂×C₈	—	2	2	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	2	2	no	—
294	C₄⋊C₄	—	2	8	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	2	2	no	—
298	C₄⋊C₄	—	2	2	no	—
299	C₄⋊C₄	—	2	2	no	—
300	C₄⋊C₄	—	8	2	no	—
301	C₄⋊C₄	—	8	2	no	—
302	C₄⋊C₄	C₂×D₄×C₃₇	1	4	yes	—
303	C₂²⋊C₄	—	4	4	no	—
304	C₂²⋊C₄	—	8	2	no	—
305	C₂²⋊C₄	—	8	2	no	—
306	C₄²	—	2	1	no	—
307	C₄²	—	2	1	no	—
308	C₄²	—	8	2	no	—
309	C₄²	C₂×D₄×C₃₇	1	2	yes	—
310	C₄²	C₂×Q₈×C₃₇	1	2	yes	—
311	C₄²	#41×C₃₇	1	2	yes	—
312	C₄²	#41×C₃₇	1	2	yes	—
313	C₂³	—	2	4	no	—
314	C₂³	—	4	2	no	—
315	C₂³	—	4	2	no	—
316	C₂³	—	4	2	no	—
317	C₂³	—	4	2	no	—
318	C₂³	—	4	2	no	—
319	C₂³	—	4	2	no	—
320	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
321	D₄	—	2	4	no	—
322	D₄	—	2	4	no	—
323	D₄	—	4	2	no	—
324	D₄	—	4	2	no	—
325	D₄	—	8	8	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	4	no	—
331	C₂×C₄	—	2	1	no	—
332	C₂×C₄	—	2	1	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	2	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	8	8	no	—
344	C₂×C₄	#121×C₃₇	1	4	yes	—
345	C₂×C₄	C₂²⋊Q₈×C₃₇	1	4	yes	—
346	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
347	C₂×C₄	C₂²×Q₈×C₃₇	1	1	yes	characteristic
348	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
349	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
350	C₂×C₄	H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
351	C₂×C₄	2₋¹⁺⁴×C₃₇	1	1	yes	characteristic
352	C₈	—	4	2	no	—
353	C₈	—	4	2	no	—
354	C₂²	—	4	4	no	—
355	C₂²	—	4	4	no	—
356	C₂²	—	4	4	no	—
357	C₂²	—	8	2	no	—
358	C₂²	—	8	2	no	—
359	C₂²	—	8	2	no	—
360	C₂²	—	8	2	no	—
361	C₂²	C₂×#121×C₃₇	1	1	yes	characteristic
362	C₂²	C₂×C₂²⋊Q₈×C₃₇	1	1	yes	characteristic
363	C₂²	C₃₇×#537	1	1	yes	characteristic
364	C₂²	C₃₇×#576	1	2	yes	—
365	C₂²	C₃₇×#577	1	2	yes	—
366	C₄	—	2	4	no	—
367	C₄	—	2	4	no	—
368	C₄	—	4	1	no	—
369	C₄	—	4	1	no	—
370	C₄	—	4	4	no	—
371	C₄	—	8	2	no	—
372	C₄	—	8	2	no	—
373	C₄	D₄×Q₈×C₃₇	1	1	yes	characteristic
374	C₄	C₃₇×#550	1	1	yes	characteristic
375	C₄	C₃₇×#554	1	1	yes	characteristic
376	C₄	C₃₇×#556	1	1	yes	characteristic
377	C₂	—	8	4	no	—
378	C₂	C₃₇×#2538	1	1	yes	characteristic
379	C₂	C₃₇×#3045	1	2	yes	—
380	C₂	C₃₇×#3081	1	2	yes	—
381	C₂	C₃₇×#3259	1	1	yes	characteristic
382	C₂	C₃₇×#3260	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₇
prime radical	C₂×#127×C₃₇	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃₇ ◁ C₃₇×#376 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃₇×#478	C₂	semidirect
2. C₃₇×#2330	C₂	semidirect
4. C₃₇×#2067	C₂	semidirect
5. C₃₇×#2065	C₂	semidirect
7. C₃₇×#1949	C₂	semidirect
8. C₃₇×#1843	C₂	semidirect
9. C₃₇×#1802	C₂	semidirect
44. #125×C₃₇	D₄	semidirect
162. #28292	C₃₇	direct (N × H)
186. C₂×#478	C₂×C₃₇	semidirect
187. #2330	C₂×C₃₇	semidirect
189. #2067	C₂×C₃₇	semidirect
190. #2065	C₂×C₃₇	semidirect
192. #1949	C₂×C₃₇	semidirect
193. #1843	C₂×C₃₇	semidirect
194. #1802	C₂×C₃₇	semidirect
227. C₃₇	#28292	direct (N × H)
236. #125	D₄×C₃₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃₇×#478	2
C₃₇×#2330	2
C₃₇×#2328	2
C₃₇×#2067	2
C₃₇×#2065	2
C₃₇×#1982	2
C₃₇×#1949	2
C₃₇×#1843	2
C₃₇×#1802	2
#28292	37

Subgroups — C37×#28292 #22649545

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#28292 #22649545