Subgroups — C₃₇×#28444 #22649697

Order 9472.

1142 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₇×#494	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃₇×#492	C₂	1	1	yes	maximal, characteristic
3	C₂×C₃₇×#464	C₂	1	4	yes	maximal, complemented
4	C₃₇×#2858	C₂	1	1	yes	maximal, characteristic
5	C₄×C₄⋊Q₈×C₃₇	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₇×#2015	C₂	1	4	yes	maximal, complemented
7	C₃₇×#1957	C₂	1	1	yes	maximal, characteristic
8	C₃₇×#1956	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×C₄⋊C₈×C₃₇	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×Q₁₆×C₃₇	C₂²	1	4	yes	—
11	C₂²×SD₁₆×C₃₇	C₂²	1	4	yes	—
12	C₂×C₄⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic
13	C₂×C₄⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic
14	C₂×#127×C₃₇	C₂²	1	1	yes	characteristic
15	C₂×#124×C₃₇	C₂²	1	2	yes	—
16	C₂×#124×C₃₇	C₂²	1	2	yes	—
17	C₂×C₄×Q₈×C₃₇	C₂²	1	2	yes	—
18	C₃₇×#494	—	2	4	no	—
19	C₃₇×#492	—	2	4	no	—
20	C₃₇×#464	—	2	16	no	—
21	C₂×C₄⋊C₈×C₃₇	C₂²	1	2	yes	—
22	C₂×#103×C₃₇	C₂²	1	4	yes	—
23	C₂×#102×C₃₇	C₂²	1	4	yes	—
24	C₂×C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic
25	C₂×C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic
26	C₃₇×#391	C₂²	1	2	yes	—
27	C₃₇×#390	—	2	2	no	—
28	C₃₇×#390	—	2	2	no	—
29	C₃₇×#389	—	2	2	no	—
30	C₃₇×#384	C₂²	1	1	yes	characteristic
31	C₄×C₄⋊C₄×C₃₇	—	2	2	no	—
32	C₄³×C₃₇	C₂²	1	1	yes	characteristic
33	C₃₇×#336	C₂²	1	2	yes	—
34	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
35	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
36	C₂²×D₄×C₃₇	—	2	2	no	—
37	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
38	C₂×Q₁₆×C₃₇	—	2	8	no	—
39	C₂×Q₁₆×C₃₇	—	2	8	no	—
40	C₂×Q₁₆×C₃₇	—	4	4	no	—
41	C₂×SD₁₆×C₃₇	—	2	8	no	—
42	C₂×SD₁₆×C₃₇	—	2	8	no	—
43	C₂×SD₁₆×C₃₇	—	4	4	no	—
44	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
45	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
46	C₄⋊Q₈×C₃₇	—	2	2	no	—
47	C₄⋊Q₈×C₃₇	—	2	2	no	—
48	C₄⋊Q₈×C₃₇	—	2	2	no	—
49	C₄⋊Q₈×C₃₇	D₄	1	4	yes	—
50	#127×C₃₇	—	2	2	no	—
51	#127×C₃₇	—	2	2	no	—
52	#124×C₃₇	—	2	8	no	—
53	#124×C₃₇	—	4	4	no	—
54	C₄×Q₈×C₃₇	—	2	8	no	—
55	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
56	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
57	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
58	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
59	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
60	C₂×C₂²⋊C₄×C₃₇	—	2	4	no	—
61	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
62	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
63	C₂×C₄²×C₃₇	—	2	2	no	—
64	C₂×C₄²×C₃₇	D₄	1	2	yes	—
65	C₂×C₄²×C₃₇	D₄	1	2	yes	—
66	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
67	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
68	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
69	C₄⋊C₈×C₃₇	D₄	1	8	yes	complemented
70	#103×C₃₇	—	2	8	no	—
71	#102×C₃₇	—	2	8	no	—
72	C₄×C₈×C₃₇	—	2	2	no	—
73	C₄×C₈×C₃₇	—	2	2	no	—
74	#95×C₃₇	—	2	4	no	—
75	C₂⁴×C₃₇	—	2	2	no	—
76	C₂×Q₈×C₃₇	—	2	2	no	—
77	C₂×Q₈×C₃₇	—	2	4	no	—
78	C₂×Q₈×C₃₇	—	2	4	no	—
79	C₂×Q₈×C₃₇	—	2	2	no	—
80	C₂×Q₈×C₃₇	—	2	2	no	—
81	C₂×Q₈×C₃₇	—	2	4	no	—
82	C₂×Q₈×C₃₇	—	2	4	no	—
83	C₂×Q₈×C₃₇	C₂×D₄	1	4	yes	—
84	C₂×D₄×C₃₇	—	2	4	no	—
85	C₂×D₄×C₃₇	—	2	2	no	—
86	C₂×D₄×C₃₇	—	2	2	no	—
87	C₂×D₄×C₃₇	—	2	4	no	—
88	C₂×D₄×C₃₇	—	4	4	no	—
89	C₂×D₄×C₃₇	—	4	4	no	—
90	C₂×D₄×C₃₇	—	4	4	no	—
91	C₂²×C₄×C₃₇	—	2	2	no	—
92	C₂²×C₄×C₃₇	—	2	2	no	—
93	C₂²×C₄×C₃₇	—	2	2	no	—
94	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
98	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
99	Q₁₆×C₃₇	—	4	16	no	—
100	SD₁₆×C₃₇	—	4	16	no	—
101	C₂×C₈×C₃₇	—	2	2	no	—
102	C₂×C₈×C₃₇	—	2	2	no	—
103	C₂×C₈×C₃₇	—	2	2	no	—
104	C₂×C₈×C₃₇	—	2	2	no	—
105	C₂×C₈×C₃₇	C₂×D₄	1	4	yes	—
106	C₂×C₈×C₃₇	C₂×D₄	1	4	yes	—
107	C₄⋊C₄×C₃₇	—	2	8	no	—
108	C₄⋊C₄×C₃₇	—	2	4	no	—
109	C₄⋊C₄×C₃₇	—	4	4	no	—
110	C₄⋊C₄×C₃₇	—	4	4	no	—
111	C₄⋊C₄×C₃₇	—	4	4	no	—
112	C₂²⋊C₄×C₃₇	—	4	8	no	—
113	C₂²⋊C₄×C₃₇	—	4	4	no	—
114	C₂²⋊C₄×C₃₇	—	4	4	no	—
115	C₄²×C₃₇	—	2	4	no	—
116	C₄²×C₃₇	—	2	4	no	—
117	C₄²×C₃₇	—	2	2	no	—
118	C₄²×C₃₇	—	4	4	no	—
119	C₄²×C₃₇	C₂×D₄	1	2	yes	—
120	C₄²×C₃₇	C₂×D₄	1	4	yes	—
121	C₄²×C₃₇	#41	1	2	yes	—
122	C₂³×C₃₇	—	4	2	no	—
123	C₂³×C₃₇	—	4	2	no	—
124	C₂³×C₃₇	—	4	2	no	—
125	C₂³×C₃₇	—	4	4	no	—
126	C₂³×C₃₇	—	4	4	no	—
127	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
128	Q₈×C₃₇	—	2	8	no	—
129	Q₈×C₃₇	—	4	4	no	—
130	Q₈×C₃₇	—	4	4	no	—
131	Q₈×C₃₇	—	4	4	no	—
132	D₄×C₃₇	—	4	4	no	—
133	D₄×C₃₇	—	4	4	no	—
134	D₄×C₃₇	—	8	8	no	—
135	C₂×C₄×C₃₇	—	2	2	no	—
136	C₂×C₄×C₃₇	—	2	2	no	—
137	C₂×C₄×C₃₇	—	2	4	no	—
138	C₂×C₄×C₃₇	—	2	2	no	—
139	C₂×C₄×C₃₇	—	2	2	no	—
140	C₂×C₄×C₃₇	—	2	2	no	—
141	C₂×C₄×C₃₇	—	4	2	no	—
142	C₂×C₄×C₃₇	—	4	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	4	no	—
148	C₂×C₄×C₃₇	#121	1	4	yes	—
149	C₂×C₄×C₃₇	#127	1	2	yes	—
150	C₂×C₄×C₃₇	#127	1	2	yes	—
151	C₂×C₄×C₃₇	#135	1	4	yes	—
152	C₂×C₄×C₃₇	#137	1	4	yes	—
153	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
155	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
156	C₂×C₄×C₃₇	H(5,𝔽₂)	1	2	yes	—
157	C₈×C₃₇	—	2	4	no	—
158	C₈×C₃₇	—	2	4	no	—
159	#28444	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
160	C₂²×C₃₇	—	8	2	no	—
161	C₂²×C₃₇	—	8	2	no	—
162	C₂²×C₃₇	—	8	4	no	—
163	C₂²×C₃₇	—	8	4	no	—
164	C₂²×C₃₇	—	8	2	no	—
165	C₂²×C₃₇	C₂×#121	1	1	yes	characteristic
166	C₂²×C₃₇	C₂×#127	1	1	yes	characteristic
167	C₂²×C₃₇	#535	1	1	yes	characteristic
168	C₂²×C₃₇	C₂×#135	1	2	yes	—
169	C₂²×C₃₇	C₂×#137	1	2	yes	—
170	C₄×C₃₇	—	2	2	no	—
171	C₄×C₃₇	—	2	2	no	—
172	C₄×C₃₇	—	4	2	no	—
173	C₄×C₃₇	—	4	4	no	—
174	C₄×C₃₇	—	8	2	no	—
175	C₄×C₃₇	—	8	2	no	—
176	C₄×C₃₇	#464	1	8	yes	complemented
177	C₄×C₃₇	D₄²	1	2	yes	—
178	C₄×C₃₇	#550	1	2	yes	—
179	C₂×#494	C₂×C₃₇	1	1	yes	characteristic, complemented
180	C₂×#492	C₂×C₃₇	1	1	yes	characteristic
181	C₂×#464	C₂×C₃₇	1	4	yes	complemented
182	#2858	C₂×C₃₇	1	1	yes	characteristic
183	C₄×C₄⋊Q₈	C₂×C₃₇	1	1	yes	characteristic, complemented
184	#2015	C₂×C₃₇	1	4	yes	complemented
185	#1957	C₂×C₃₇	1	1	yes	characteristic
186	#1956	C₂×C₃₇	1	1	yes	characteristic, complemented
187	C₄×C₄⋊C₈	C₂×C₃₇	1	1	yes	characteristic, complemented
188	C₂×C₃₇	—	16	2	no	—
189	C₂×C₃₇	#2541	1	1	yes	characteristic
190	C₂×C₃₇	C₂×#464	1	2	yes	—
191	C₂×C₃₇	#3147	1	1	yes	characteristic
192	C₂×C₃₇	#3152	1	1	yes	characteristic
193	C₂×C₃₇	#3210	1	2	yes	—
194	C₂²×Q₁₆	C₂²×C₃₇	1	4	yes	—
195	C₂²×SD₁₆	C₂²×C₃₇	1	4	yes	—
196	C₂×C₄⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic
197	C₂×C₄⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic
198	C₂×#127	C₂²×C₃₇	1	1	yes	characteristic
199	C₂×#124	C₂²×C₃₇	1	2	yes	—
200	C₂×#124	C₂²×C₃₇	1	2	yes	—
201	C₂×C₄×Q₈	C₂²×C₃₇	1	2	yes	—
202	#494	—	2	4	no	—
203	#492	—	2	4	no	—
204	#464	—	2	16	no	—
205	C₂×C₄⋊C₈	C₂²×C₃₇	1	2	yes	—
206	C₂×#103	C₂²×C₃₇	1	4	yes	—
207	C₂×#102	C₂²×C₃₇	1	4	yes	—
208	C₂×C₄×C₈	C₂²×C₃₇	1	1	yes	characteristic
209	C₂×C₄×C₈	C₂²×C₃₇	1	1	yes	characteristic
210	#391	C₂²×C₃₇	1	2	yes	—
211	#390	—	2	2	no	—
212	#390	—	2	2	no	—
213	#389	—	2	2	no	—
214	#384	C₂²×C₃₇	1	1	yes	characteristic
215	C₄×C₄⋊C₄	—	2	2	no	—
216	C₄³	C₂²×C₃₇	1	1	yes	characteristic
217	#336	C₂²×C₃₇	1	2	yes	—
218	C₃₇	#28444	1	1	yes	characteristic, direct product factor, Sylow
219	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
220	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
221	C₂²×D₄	—	2	2	no	—
222	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
223	C₂×Q₁₆	—	2	8	no	—
224	C₂×Q₁₆	—	2	8	no	—
225	C₂×Q₁₆	—	4	4	no	—
226	C₂×SD₁₆	—	2	8	no	—
227	C₂×SD₁₆	—	2	8	no	—
228	C₂×SD₁₆	—	4	4	no	—
229	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
230	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
231	C₄⋊Q₈	—	2	2	no	—
232	C₄⋊Q₈	—	2	2	no	—
233	C₄⋊Q₈	—	2	2	no	—
234	C₄⋊Q₈	D₄×C₃₇	1	4	yes	—
235	#127	—	2	2	no	—
236	#127	—	2	2	no	—
237	#124	—	2	8	no	—
238	#124	—	4	4	no	—
239	C₄×Q₈	—	2	8	no	—
240	C₂×C₄⋊C₄	—	2	2	no	—
241	C₂×C₄⋊C₄	—	2	2	no	—
242	C₂×C₄⋊C₄	—	2	2	no	—
243	C₂×C₄⋊C₄	—	2	2	no	—
244	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
245	C₂×C₂²⋊C₄	—	2	4	no	—
246	C₂×C₂²⋊C₄	—	2	2	no	—
247	C₂×C₂²⋊C₄	—	2	2	no	—
248	C₂×C₄²	—	2	2	no	—
249	C₂×C₄²	D₄×C₃₇	1	2	yes	—
250	C₂×C₄²	D₄×C₃₇	1	2	yes	—
251	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
252	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
253	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
254	C₄⋊C₈	D₄×C₃₇	1	8	yes	complemented
255	#103	—	2	8	no	—
256	#102	—	2	8	no	—
257	C₄×C₈	—	2	2	no	—
258	C₄×C₈	—	2	2	no	—
259	#95	—	2	4	no	—
260	C₂⁴	—	2	2	no	—
261	C₂×Q₈	—	2	2	no	—
262	C₂×Q₈	—	2	4	no	—
263	C₂×Q₈	—	2	4	no	—
264	C₂×Q₈	—	2	2	no	—
265	C₂×Q₈	—	2	2	no	—
266	C₂×Q₈	—	2	4	no	—
267	C₂×Q₈	—	2	4	no	—
268	C₂×Q₈	C₂×D₄×C₃₇	1	4	yes	—
269	C₂×D₄	—	2	4	no	—
270	C₂×D₄	—	2	2	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	2	4	no	—
273	C₂×D₄	—	4	4	no	—
274	C₂×D₄	—	4	4	no	—
275	C₂×D₄	—	4	4	no	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	—	2	2	no	—
279	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
280	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
281	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
282	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
283	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
284	Q₁₆	—	4	16	no	—
285	SD₁₆	—	4	16	no	—
286	C₂×C₈	—	2	2	no	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	C₂×D₄×C₃₇	1	4	yes	—
291	C₂×C₈	C₂×D₄×C₃₇	1	4	yes	—
292	C₄⋊C₄	—	2	8	no	—
293	C₄⋊C₄	—	2	4	no	—
294	C₄⋊C₄	—	4	4	no	—
295	C₄⋊C₄	—	4	4	no	—
296	C₄⋊C₄	—	4	4	no	—
297	C₂²⋊C₄	—	4	8	no	—
298	C₂²⋊C₄	—	4	4	no	—
299	C₂²⋊C₄	—	4	4	no	—
300	C₄²	—	2	4	no	—
301	C₄²	—	2	4	no	—
302	C₄²	—	2	2	no	—
303	C₄²	—	4	4	no	—
304	C₄²	C₂×D₄×C₃₇	1	2	yes	—
305	C₄²	C₂×D₄×C₃₇	1	4	yes	—
306	C₄²	#41×C₃₇	1	2	yes	—
307	C₂³	—	4	2	no	—
308	C₂³	—	4	2	no	—
309	C₂³	—	4	2	no	—
310	C₂³	—	4	4	no	—
311	C₂³	—	4	4	no	—
312	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
313	Q₈	—	2	8	no	—
314	Q₈	—	4	4	no	—
315	Q₈	—	4	4	no	—
316	Q₈	—	4	4	no	—
317	D₄	—	4	4	no	—
318	D₄	—	4	4	no	—
319	D₄	—	8	8	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	4	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	4	no	—
333	C₂×C₄	#121×C₃₇	1	4	yes	—
334	C₂×C₄	#127×C₃₇	1	2	yes	—
335	C₂×C₄	#127×C₃₇	1	2	yes	—
336	C₂×C₄	#135×C₃₇	1	4	yes	—
337	C₂×C₄	#137×C₃₇	1	4	yes	—
338	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
339	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
340	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
341	C₂×C₄	H(5,𝔽₂)×C₃₇	1	2	yes	—
342	C₈	—	2	4	no	—
343	C₈	—	2	4	no	—
344	C₂²	—	8	2	no	—
345	C₂²	—	8	2	no	—
346	C₂²	—	8	4	no	—
347	C₂²	—	8	4	no	—
348	C₂²	—	8	2	no	—
349	C₂²	C₂×#121×C₃₇	1	1	yes	characteristic
350	C₂²	C₂×#127×C₃₇	1	1	yes	characteristic
351	C₂²	C₃₇×#535	1	1	yes	characteristic
352	C₂²	C₂×#135×C₃₇	1	2	yes	—
353	C₂²	C₂×#137×C₃₇	1	2	yes	—
354	C₄	—	2	2	no	—
355	C₄	—	2	2	no	—
356	C₄	—	4	2	no	—
357	C₄	—	4	4	no	—
358	C₄	—	8	2	no	—
359	C₄	—	8	2	no	—
360	C₄	C₃₇×#464	1	8	yes	complemented
361	C₄	D₄²×C₃₇	1	2	yes	—
362	C₄	C₃₇×#550	1	2	yes	—
363	C₂	—	16	2	no	—
364	C₂	C₃₇×#2541	1	1	yes	characteristic
365	C₂	C₂×C₃₇×#464	1	2	yes	—
366	C₂	C₃₇×#3147	1	1	yes	characteristic
367	C₂	C₃₇×#3152	1	1	yes	characteristic
368	C₂	C₃₇×#3210	1	2	yes	—

	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 ◁ C₄³×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃₇×#494	C₂	semidirect
3. C₂×C₃₇×#464	C₂	semidirect
5. C₄×C₄⋊Q₈×C₃₇	C₂	semidirect
6. C₃₇×#2015	C₂	semidirect
8. C₃₇×#1956	C₂	semidirect
9. C₄×C₄⋊C₈×C₃₇	C₂	semidirect
69. C₄⋊C₈×C₃₇	D₄	semidirect
159. #28444	C₃₇	direct (N × H)
176. C₄×C₃₇	#464	semidirect
179. C₂×#494	C₂×C₃₇	semidirect
181. C₂×#464	C₂×C₃₇	semidirect
183. C₄×C₄⋊Q₈	C₂×C₃₇	semidirect
184. #2015	C₂×C₃₇	semidirect
186. #1956	C₂×C₃₇	semidirect
187. C₄×C₄⋊C₈	C₂×C₃₇	semidirect
218. C₃₇	#28444	direct (N × H)
254. C₄⋊C₈	D₄×C₃₇	semidirect
360. C₄	C₃₇×#464	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃₇×#494	2
C₂×C₃₇×#492	2
C₂×C₃₇×#464	2
C₃₇×#2858	2
C₄×C₄⋊Q₈×C₃₇	2
C₃₇×#2015	2
C₃₇×#1957	2
C₃₇×#1956	2
C₄×C₄⋊C₈×C₃₇	2
#28444	37

Subgroups — C37×#28444 #22649697

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#28444 #22649697