Subgroups — C₃₇×#28463 #22649716

Order 9472.

1198 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₇×#495	C₂	1	2	yes	maximal, complemented
2	C₂×C₃₇×#493	C₂	1	1	yes	maximal, characteristic
3	C₂×C₃₇×#460	C₂	1	2	yes	maximal, complemented
4	C₂×C₄×Q₁₆×C₃₇	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₇×#2548	C₂	1	2	yes	maximal, complemented
6	C₃₇×#2012	C₂	1	4	yes	maximal, complemented
7	C₃₇×#1970	C₂	1	2	yes	maximal, complemented
8	C₈×C₄⋊C₄×C₃₇	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×Q₁₆×C₃₇	C₂²	1	1	yes	characteristic
10	C₂²×SD₁₆×C₃₇	C₂²	1	4	yes	—
11	C₂²×D₈×C₃₇	C₂²	1	2	yes	—
12	C₂²×D₈×C₃₇	C₂²	1	2	yes	—
13	C₂×#127×C₃₇	C₂²	1	2	yes	—
14	C₂×#124×C₃₇	C₂²	1	4	yes	—
15	C₂×C₄×Q₈×C₃₇	C₂²	1	2	yes	—
16	C₃₇×#495	—	2	8	no	—
17	C₃₇×#493	—	2	4	no	—
18	C₃₇×#460	—	2	8	no	—
19	C₄×Q₁₆×C₃₇	—	2	4	no	—
20	C₂×#107×C₃₇	C₂²	1	1	yes	characteristic
21	C₂×C₄⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
22	C₂×#103×C₃₇	C₂²	1	2	yes	—
23	C₂×#102×C₃₇	C₂²	1	4	yes	—
24	C₂×C₄×C₈×C₃₇	C₂²	1	2	yes	—
25	C₂×C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic
26	C₃₇×#394	—	2	4	no	—
27	C₃₇×#390	—	2	4	no	—
28	C₃₇×#390	C₂²	1	4	yes	—
29	C₄×C₄⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
30	C₃₇×#336	C₂²	1	2	yes	—
31	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
32	C₂²×D₄×C₃₇	—	2	2	no	—
33	C₂²×D₄×C₃₇	—	2	2	no	—
34	C₂²×D₄×C₃₇	C₂³	1	4	yes	—
35	C₂×Q₁₆×C₃₇	—	2	2	no	—
36	C₂×Q₁₆×C₃₇	—	2	2	no	—
37	C₂×Q₁₆×C₃₇	D₄	1	4	yes	complemented
38	C₂×SD₁₆×C₃₇	—	2	8	no	—
39	C₂×SD₁₆×C₃₇	—	2	8	no	—
40	C₂×SD₁₆×C₃₇	—	4	4	no	—
41	C₂×D₈×C₃₇	—	2	4	no	—
42	C₂×D₈×C₃₇	—	2	4	no	—
43	C₂×D₈×C₃₇	—	2	4	no	—
44	C₂×D₈×C₃₇	—	2	4	no	—
45	C₂×D₈×C₃₇	—	4	2	no	—
46	C₂×D₈×C₃₇	—	4	2	no	—
47	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
48	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
49	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
50	#127×C₃₇	—	2	4	no	—
51	#127×C₃₇	—	2	4	no	—
52	#124×C₃₇	—	2	8	no	—
53	#124×C₃₇	—	4	4	no	—
54	C₄×Q₈×C₃₇	—	2	4	no	—
55	C₄×Q₈×C₃₇	—	2	4	no	—
56	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
57	C₂×C₄⋊C₄×C₃₇	D₄	1	2	yes	—
58	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
59	C₂×C₂²⋊C₄×C₃₇	—	2	8	no	—
60	C₂×C₂²⋊C₄×C₃₇	—	2	8	no	—
61	C₂×C₄²×C₃₇	—	2	2	no	—
62	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
63	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
64	#107×C₃₇	—	2	2	no	—
65	C₄⋊C₈×C₃₇	D₄	1	4	yes	—
66	#103×C₃₇	—	2	4	no	—
67	#102×C₃₇	—	2	8	no	—
68	C₄×C₈×C₃₇	—	2	4	no	—
69	C₄×C₈×C₃₇	D₄	1	4	yes	—
70	#95×C₃₇	D₄	1	2	yes	—
71	C₂⁴×C₃₇	—	2	4	no	—
72	C₂×Q₈×C₃₇	—	2	2	no	—
73	C₂×Q₈×C₃₇	—	2	2	no	—
74	C₂×Q₈×C₃₇	—	2	2	no	—
75	C₂×Q₈×C₃₇	—	2	2	no	—
76	C₂×Q₈×C₃₇	—	2	2	no	—
77	C₂×Q₈×C₃₇	C₂×D₄	1	4	yes	—
78	C₂×D₄×C₃₇	—	2	4	no	—
79	C₂×D₄×C₃₇	—	2	4	no	—
80	C₂×D₄×C₃₇	—	2	4	no	—
81	C₂×D₄×C₃₇	—	2	4	no	—
82	C₂×D₄×C₃₇	—	2	4	no	—
83	C₂×D₄×C₃₇	—	2	4	no	—
84	C₂×D₄×C₃₇	—	4	4	no	—
85	C₂×D₄×C₃₇	—	4	4	no	—
86	C₂×D₄×C₃₇	—	4	8	no	—
87	C₂×D₄×C₃₇	—	8	4	no	—
88	C₂²×C₄×C₃₇	—	2	2	no	—
89	C₂²×C₄×C₃₇	—	2	2	no	—
90	C₂²×C₄×C₃₇	C₂×D₄	1	4	yes	—
91	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
94	Q₁₆×C₃₇	—	2	8	no	—
95	SD₁₆×C₃₇	—	4	16	no	—
96	D₈×C₃₇	—	4	8	no	—
97	D₈×C₃₇	—	4	8	no	—
98	C₂×C₈×C₃₇	—	2	2	no	—
99	C₂×C₈×C₃₇	—	2	1	no	—
100	C₂×C₈×C₃₇	—	2	1	no	—
101	C₂×C₈×C₃₇	—	2	2	no	—
102	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
103	C₂×C₈×C₃₇	C₂×D₄	1	4	yes	—
104	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
105	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
106	C₂×C₈×C₃₇	#41	1	2	yes	—
107	C₄⋊C₄×C₃₇	—	2	4	no	—
108	C₄⋊C₄×C₃₇	—	2	2	no	—
109	C₄⋊C₄×C₃₇	—	2	2	no	—
110	C₄⋊C₄×C₃₇	—	4	4	no	—
111	C₂²⋊C₄×C₃₇	—	4	16	no	—
112	C₂²⋊C₄×C₃₇	—	8	8	no	—
113	C₄²×C₃₇	—	2	2	no	—
114	C₄²×C₃₇	—	2	2	no	—
115	C₄²×C₃₇	—	4	4	no	—
116	C₄²×C₃₇	C₂×D₄	1	2	yes	—
117	C₄²×C₃₇	C₂×D₄	1	2	yes	—
118	C₂³×C₃₇	—	4	4	no	—
119	C₂³×C₃₇	—	4	4	no	—
120	C₂³×C₃₇	—	4	4	no	—
121	C₂³×C₃₇	—	4	8	no	—
122	C₂³×C₃₇	—	4	8	no	—
123	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
124	Q₈×C₃₇	—	2	4	no	—
125	Q₈×C₃₇	—	2	4	no	—
126	Q₈×C₃₇	—	4	2	no	—
127	Q₈×C₃₇	—	4	2	no	—
128	D₄×C₃₇	—	4	4	no	—
129	D₄×C₃₇	—	4	4	no	—
130	D₄×C₃₇	—	4	4	no	—
131	D₄×C₃₇	—	4	4	no	—
132	D₄×C₃₇	—	8	8	no	—
133	D₄×C₃₇	—	8	8	no	—
134	C₂×C₄×C₃₇	—	2	2	no	—
135	C₂×C₄×C₃₇	—	2	4	no	—
136	C₂×C₄×C₃₇	—	2	4	no	—
137	C₂×C₄×C₃₇	—	2	4	no	—
138	C₂×C₄×C₃₇	—	2	4	no	—
139	C₂×C₄×C₃₇	—	4	2	no	—
140	C₂×C₄×C₃₇	—	4	2	no	—
141	C₂×C₄×C₃₇	—	4	2	no	—
142	C₂×C₄×C₃₇	—	4	4	no	—
143	C₂×C₄×C₃₇	#127	1	2	yes	—
144	C₂×C₄×C₃₇	#127	1	2	yes	—
145	C₂×C₄×C₃₇	#135	1	4	yes	—
146	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
147	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
148	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
149	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
150	C₂×C₄×C₃₇	H(5,𝔽₂)	1	1	yes	characteristic
151	C₂×C₄×C₃₇	H(5,𝔽₂)	1	1	yes	characteristic
152	C₈×C₃₇	—	2	2	no	—
153	C₈×C₃₇	—	2	4	no	—
154	C₈×C₃₇	#121	1	4	yes	—
155	#28463	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
156	C₂²×C₃₇	—	8	8	no	—
157	C₂²×C₃₇	—	8	4	no	—
158	C₂²×C₃₇	—	8	4	no	—
159	C₂²×C₃₇	—	8	8	no	—
160	C₂²×C₃₇	—	8	4	no	—
161	C₂²×C₃₇	C₂×#127	1	1	yes	characteristic
162	C₂²×C₃₇	D₄²	1	1	yes	characteristic
163	C₂²×C₃₇	#550	1	1	yes	characteristic
164	C₂²×C₃₇	C₂×#135	1	2	yes	—
165	C₂²×C₃₇	#576	1	2	yes	—
166	C₄×C₃₇	—	2	2	no	—
167	C₄×C₃₇	—	4	4	no	—
168	C₄×C₃₇	—	4	4	no	—
169	C₄×C₃₇	—	8	2	no	—
170	C₄×C₃₇	#495	1	4	yes	complemented
171	C₄×C₃₇	C₂×#121	1	1	yes	characteristic
172	C₄×C₃₇	#535	1	1	yes	characteristic
173	C₄×C₃₇	D₄²	1	1	yes	characteristic
174	C₄×C₃₇	#550	1	1	yes	characteristic
175	C₂×#495	C₂×C₃₇	1	2	yes	complemented
176	C₂×#493	C₂×C₃₇	1	1	yes	characteristic
177	C₂×#460	C₂×C₃₇	1	2	yes	complemented
178	C₂×C₄×Q₁₆	C₂×C₃₇	1	1	yes	characteristic, complemented
179	#2548	C₂×C₃₇	1	2	yes	complemented
180	#2012	C₂×C₃₇	1	4	yes	complemented
181	#1970	C₂×C₃₇	1	2	yes	complemented
182	C₈×C₄⋊C₄	C₂×C₃₇	1	1	yes	characteristic, complemented
183	C₂×C₃₇	—	16	4	no	—
184	C₂×C₃₇	#2541	1	1	yes	characteristic
185	C₂×C₃₇	C₂×#495	1	1	yes	characteristic
186	C₂×C₃₇	#3155	1	1	yes	characteristic
187	C₂×C₃₇	#3287	1	2	yes	—
188	C₂×C₃₇	#3396	1	2	yes	—
189	C₂²×Q₁₆	C₂²×C₃₇	1	1	yes	characteristic
190	C₂²×SD₁₆	C₂²×C₃₇	1	4	yes	—
191	C₂²×D₈	C₂²×C₃₇	1	2	yes	—
192	C₂²×D₈	C₂²×C₃₇	1	2	yes	—
193	C₂×#127	C₂²×C₃₇	1	2	yes	—
194	C₂×#124	C₂²×C₃₇	1	4	yes	—
195	C₂×C₄×Q₈	C₂²×C₃₇	1	2	yes	—
196	#495	—	2	8	no	—
197	#493	—	2	4	no	—
198	#460	—	2	8	no	—
199	C₄×Q₁₆	—	2	4	no	—
200	C₂×#107	C₂²×C₃₇	1	1	yes	characteristic
201	C₂×C₄⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
202	C₂×#103	C₂²×C₃₇	1	2	yes	—
203	C₂×#102	C₂²×C₃₇	1	4	yes	—
204	C₂×C₄×C₈	C₂²×C₃₇	1	2	yes	—
205	C₂×C₄×C₈	C₂²×C₃₇	1	1	yes	characteristic
206	#394	—	2	4	no	—
207	#390	—	2	4	no	—
208	#390	C₂²×C₃₇	1	4	yes	—
209	C₄×C₄⋊C₄	C₂²×C₃₇	1	1	yes	characteristic
210	#336	C₂²×C₃₇	1	2	yes	—
211	C₃₇	#28463	1	1	yes	characteristic, direct product factor, Sylow
212	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
213	C₂²×D₄	—	2	2	no	—
214	C₂²×D₄	—	2	2	no	—
215	C₂²×D₄	C₂³×C₃₇	1	4	yes	—
216	C₂×Q₁₆	—	2	2	no	—
217	C₂×Q₁₆	—	2	2	no	—
218	C₂×Q₁₆	D₄×C₃₇	1	4	yes	complemented
219	C₂×SD₁₆	—	2	8	no	—
220	C₂×SD₁₆	—	2	8	no	—
221	C₂×SD₁₆	—	4	4	no	—
222	C₂×D₈	—	2	4	no	—
223	C₂×D₈	—	2	4	no	—
224	C₂×D₈	—	2	4	no	—
225	C₂×D₈	—	2	4	no	—
226	C₂×D₈	—	4	2	no	—
227	C₂×D₈	—	4	2	no	—
228	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
229	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
230	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
231	#127	—	2	4	no	—
232	#127	—	2	4	no	—
233	#124	—	2	8	no	—
234	#124	—	4	4	no	—
235	C₄×Q₈	—	2	4	no	—
236	C₄×Q₈	—	2	4	no	—
237	C₂×C₄⋊C₄	—	2	2	no	—
238	C₂×C₄⋊C₄	D₄×C₃₇	1	2	yes	—
239	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
240	C₂×C₂²⋊C₄	—	2	8	no	—
241	C₂×C₂²⋊C₄	—	2	8	no	—
242	C₂×C₄²	—	2	2	no	—
243	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
244	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
245	#107	—	2	2	no	—
246	C₄⋊C₈	D₄×C₃₇	1	4	yes	—
247	#103	—	2	4	no	—
248	#102	—	2	8	no	—
249	C₄×C₈	—	2	4	no	—
250	C₄×C₈	D₄×C₃₇	1	4	yes	—
251	#95	D₄×C₃₇	1	2	yes	—
252	C₂⁴	—	2	4	no	—
253	C₂×Q₈	—	2	2	no	—
254	C₂×Q₈	—	2	2	no	—
255	C₂×Q₈	—	2	2	no	—
256	C₂×Q₈	—	2	2	no	—
257	C₂×Q₈	—	2	2	no	—
258	C₂×Q₈	C₂×D₄×C₃₇	1	4	yes	—
259	C₂×D₄	—	2	4	no	—
260	C₂×D₄	—	2	4	no	—
261	C₂×D₄	—	2	4	no	—
262	C₂×D₄	—	2	4	no	—
263	C₂×D₄	—	2	4	no	—
264	C₂×D₄	—	2	4	no	—
265	C₂×D₄	—	4	4	no	—
266	C₂×D₄	—	4	4	no	—
267	C₂×D₄	—	4	8	no	—
268	C₂×D₄	—	8	4	no	—
269	C₂²×C₄	—	2	2	no	—
270	C₂²×C₄	—	2	2	no	—
271	C₂²×C₄	C₂×D₄×C₃₇	1	4	yes	—
272	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
273	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
274	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
275	Q₁₆	—	2	8	no	—
276	SD₁₆	—	4	16	no	—
277	D₈	—	4	8	no	—
278	D₈	—	4	8	no	—
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	—	2	1	no	—
281	C₂×C₈	—	2	1	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
284	C₂×C₈	C₂×D₄×C₃₇	1	4	yes	—
285	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
286	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
287	C₂×C₈	#41×C₃₇	1	2	yes	—
288	C₄⋊C₄	—	2	4	no	—
289	C₄⋊C₄	—	2	2	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	4	4	no	—
292	C₂²⋊C₄	—	4	16	no	—
293	C₂²⋊C₄	—	8	8	no	—
294	C₄²	—	2	2	no	—
295	C₄²	—	2	2	no	—
296	C₄²	—	4	4	no	—
297	C₄²	C₂×D₄×C₃₇	1	2	yes	—
298	C₄²	C₂×D₄×C₃₇	1	2	yes	—
299	C₂³	—	4	4	no	—
300	C₂³	—	4	4	no	—
301	C₂³	—	4	4	no	—
302	C₂³	—	4	8	no	—
303	C₂³	—	4	8	no	—
304	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
305	Q₈	—	2	4	no	—
306	Q₈	—	2	4	no	—
307	Q₈	—	4	2	no	—
308	Q₈	—	4	2	no	—
309	D₄	—	4	4	no	—
310	D₄	—	4	4	no	—
311	D₄	—	4	4	no	—
312	D₄	—	4	4	no	—
313	D₄	—	8	8	no	—
314	D₄	—	8	8	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	4	no	—
317	C₂×C₄	—	2	4	no	—
318	C₂×C₄	—	2	4	no	—
319	C₂×C₄	—	2	4	no	—
320	C₂×C₄	—	4	2	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	4	2	no	—
323	C₂×C₄	—	4	4	no	—
324	C₂×C₄	#127×C₃₇	1	2	yes	—
325	C₂×C₄	#127×C₃₇	1	2	yes	—
326	C₂×C₄	#135×C₃₇	1	4	yes	—
327	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
328	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
329	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
330	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
331	C₂×C₄	H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
332	C₂×C₄	H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
333	C₈	—	2	2	no	—
334	C₈	—	2	4	no	—
335	C₈	#121×C₃₇	1	4	yes	—
336	C₂²	—	8	8	no	—
337	C₂²	—	8	4	no	—
338	C₂²	—	8	4	no	—
339	C₂²	—	8	8	no	—
340	C₂²	—	8	4	no	—
341	C₂²	C₂×#127×C₃₇	1	1	yes	characteristic
342	C₂²	D₄²×C₃₇	1	1	yes	characteristic
343	C₂²	C₃₇×#550	1	1	yes	characteristic
344	C₂²	C₂×#135×C₃₇	1	2	yes	—
345	C₂²	C₃₇×#576	1	2	yes	—
346	C₄	—	2	2	no	—
347	C₄	—	4	4	no	—
348	C₄	—	4	4	no	—
349	C₄	—	8	2	no	—
350	C₄	C₃₇×#495	1	4	yes	complemented
351	C₄	C₂×#121×C₃₇	1	1	yes	characteristic
352	C₄	C₃₇×#535	1	1	yes	characteristic
353	C₄	D₄²×C₃₇	1	1	yes	characteristic
354	C₄	C₃₇×#550	1	1	yes	characteristic
355	C₂	—	16	4	no	—
356	C₂	C₃₇×#2541	1	1	yes	characteristic
357	C₂	C₂×C₃₇×#495	1	1	yes	characteristic
358	C₂	C₃₇×#3155	1	1	yes	characteristic
359	C₂	C₃₇×#3287	1	2	yes	—
360	C₂	C₃₇×#3396	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₇
prime radical	C₂×C₃₇×#493	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃₇ ◁ C₄×C₄⋊C₄×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃₇×#495	C₂	semidirect
3. C₂×C₃₇×#460	C₂	semidirect
4. C₂×C₄×Q₁₆×C₃₇	C₂	semidirect
5. C₃₇×#2548	C₂	semidirect
6. C₃₇×#2012	C₂	semidirect
7. C₃₇×#1970	C₂	semidirect
8. C₈×C₄⋊C₄×C₃₇	C₂	semidirect
37. C₂×Q₁₆×C₃₇	D₄	semidirect
155. #28463	C₃₇	direct (N × H)
170. C₄×C₃₇	#495	semidirect
175. C₂×#495	C₂×C₃₇	semidirect
177. C₂×#460	C₂×C₃₇	semidirect
178. C₂×C₄×Q₁₆	C₂×C₃₇	semidirect
179. #2548	C₂×C₃₇	semidirect
180. #2012	C₂×C₃₇	semidirect
181. #1970	C₂×C₃₇	semidirect
182. C₈×C₄⋊C₄	C₂×C₃₇	semidirect
211. C₃₇	#28463	direct (N × H)
218. C₂×Q₁₆	D₄×C₃₇	semidirect
350. C₄	C₃₇×#495	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃₇×#495	2
C₂×C₃₇×#493	2
C₂×C₃₇×#460	2
C₂×C₄×Q₁₆×C₃₇	2
C₃₇×#2548	2
C₃₇×#2012	2
C₃₇×#1970	2
C₈×C₄⋊C₄×C₃₇	2
#28463	37

Subgroups — C37×#28463 #22649716

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#28463 #22649716