Subgroups — C₃₇×#28273 #22649526

Order 9472.

898 conjugacy classes of subgroups.

The subgroup lattice has 354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₇×#446	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×D₈×C₃₇	C₂	1	1	yes	maximal, characteristic
3	C₃₇×#2538	C₂	1	2	yes	maximal, complemented
4	C₃₇×#2065	C₂	1	4	yes	maximal, complemented
5	C₃₇×#1972	C₂	1	2	yes	maximal
6	C₃₇×#1944	C₂	1	2	yes	maximal, complemented
7	C₃₇×#1844	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₇×#1802	C₂	1	2	yes	maximal, complemented
9	C₂²×D₈×C₃₇	C₂²	1	1	yes	characteristic
10	C₂×C₂²⋊Q₈×C₃₇	—	2	2	no	—
11	C₂×C₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic
12	C₂×C₄×D₄×C₃₇	C₂²	1	2	yes	—
13	C₃₇×#446	—	2	4	no	—
14	C₄×D₈×C₃₇	—	2	4	no	—
15	C₂×#107×C₃₇	C₂²	1	1	yes	characteristic
16	C₂×#106×C₃₇	C₂²	1	2	yes	—
17	C₂×#106×C₃₇	C₂²	1	2	yes	—
18	C₂×C₄⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊C₈×C₃₇	C₂²	1	2	yes	—
20	C₂×#102×C₃₇	C₂²	1	2	yes	—
21	C₂×#102×C₃₇	C₂²	1	4	yes	—
22	C₂×#97×C₃₇	C₂²	1	2	yes	—
23	C₂×C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic
24	C₃₇×#396	—	2	4	no	—
25	C₃₇×#390	C₂²	1	4	yes	—
26	C₃₇×#389	C₂²	1	4	yes	—
27	C₃₇×#384	C₂²	1	2	yes	—
28	C₃₇×#380	—	2	2	no	—
29	C₃₇×#340	C₂²	1	4	yes	—
30	C₂²×Q₈×C₃₇	D₄	1	1	yes	characteristic
31	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
32	C₂³×C₄×C₃₇	—	2	2	no	—
33	C₂×D₈×C₃₇	—	2	2	no	—
34	C₂×D₈×C₃₇	—	2	2	no	—
35	C₂×D₈×C₃₇	Q₈	1	4	yes	complemented
36	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
37	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
38	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
39	C₂²⋊Q₈×C₃₇	—	4	8	no	—
40	C₄×Q₈×C₃₇	—	2	2	no	—
41	C₄×Q₈×C₃₇	—	2	2	no	—
42	C₄×D₄×C₃₇	—	2	4	no	—
43	C₄×D₄×C₃₇	—	2	4	no	—
44	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
45	C₂×C₄⋊C₄×C₃₇	—	2	4	no	—
46	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
47	C₂×C₄⋊C₄×C₃₇	D₄	1	1	yes	characteristic
48	C₂×C₄⋊C₄×C₃₇	D₄	1	2	yes	—
49	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
50	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
51	C₂×C₂²⋊C₄×C₃₇	—	2	4	no	—
52	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
53	C₂×C₂²⋊C₄×C₃₇	—	2	4	no	—
54	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
55	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
56	#107×C₃₇	—	2	2	no	—
57	#106×C₃₇	—	2	4	no	—
58	#106×C₃₇	—	4	2	no	—
59	C₄⋊C₈×C₃₇	—	2	4	no	—
60	C₄⋊C₈×C₃₇	—	2	2	no	—
61	#102×C₃₇	—	2	4	no	—
62	#102×C₃₇	—	4	4	no	—
63	#97×C₃₇	—	2	4	no	—
64	C₄×C₈×C₃₇	D₄	1	4	yes	—
65	#95×C₃₇	—	2	4	no	—
66	C₂⁴×C₃₇	—	2	2	no	—
67	C₂×Q₈×C₃₇	—	2	2	no	—
68	C₂×Q₈×C₃₇	—	2	4	no	—
69	C₂×D₄×C₃₇	—	2	2	no	—
70	C₂×D₄×C₃₇	—	2	2	no	—
71	C₂×D₄×C₃₇	—	2	2	no	—
72	C₂×D₄×C₃₇	—	2	2	no	—
73	C₂×D₄×C₃₇	—	2	2	no	—
74	C₂×D₄×C₃₇	C₂×Q₈	1	4	yes	—
75	C₂²×C₄×C₃₇	—	2	2	no	—
76	C₂²×C₄×C₃₇	—	2	4	no	—
77	C₂²×C₄×C₃₇	—	4	4	no	—
78	C₂²×C₄×C₃₇	—	4	4	no	—
79	C₂²×C₄×C₃₇	—	4	4	no	—
80	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
81	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
82	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
83	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
85	D₈×C₃₇	—	2	8	no	—
86	C₂×C₈×C₃₇	—	2	1	no	—
87	C₂×C₈×C₃₇	—	2	1	no	—
88	C₂×C₈×C₃₇	—	2	2	no	—
89	C₂×C₈×C₃₇	—	2	2	no	—
90	C₂×C₈×C₃₇	—	2	2	no	—
91	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
92	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
93	C₂×C₈×C₃₇	C₂×Q₈	1	2	yes	—
94	C₂×C₈×C₃₇	#41	1	2	yes	—
95	C₄⋊C₄×C₃₇	—	2	2	no	—
96	C₄⋊C₄×C₃₇	—	2	4	no	—
97	C₄⋊C₄×C₃₇	—	2	2	no	—
98	C₄⋊C₄×C₃₇	—	2	4	no	—
99	C₄⋊C₄×C₃₇	—	2	2	no	—
100	C₄⋊C₄×C₃₇	—	2	4	no	—
101	C₄⋊C₄×C₃₇	—	4	8	no	—
102	C₄⋊C₄×C₃₇	—	4	4	no	—
103	C₄⋊C₄×C₃₇	—	8	2	no	—
104	C₂²⋊C₄×C₃₇	—	4	8	no	—
105	C₂²⋊C₄×C₃₇	—	4	4	no	—
106	C₂²⋊C₄×C₃₇	—	8	4	no	—
107	C₄²×C₃₇	—	2	2	no	—
108	C₄²×C₃₇	—	2	2	no	—
109	C₄²×C₃₇	C₂×D₄	1	2	yes	—
110	C₄²×C₃₇	#41	1	2	yes	—
111	C₂³×C₃₇	—	2	4	no	—
112	C₂³×C₃₇	—	4	2	no	—
113	C₂³×C₃₇	—	4	2	no	—
114	C₂³×C₃₇	—	4	2	no	—
115	C₂³×C₃₇	—	4	2	no	—
116	C₂³×C₃₇	—	4	2	no	—
117	C₂³×C₃₇	—	4	2	no	—
118	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
119	Q₈×C₃₇	—	4	4	no	—
120	D₄×C₃₇	—	2	4	no	—
121	D₄×C₃₇	—	2	4	no	—
122	D₄×C₃₇	—	4	2	no	—
123	D₄×C₃₇	—	4	2	no	—
124	C₂×C₄×C₃₇	—	2	2	no	—
125	C₂×C₄×C₃₇	—	2	2	no	—
126	C₂×C₄×C₃₇	—	2	2	no	—
127	C₂×C₄×C₃₇	—	2	4	no	—
128	C₂×C₄×C₃₇	—	2	4	no	—
129	C₂×C₄×C₃₇	—	4	2	no	—
130	C₂×C₄×C₃₇	—	4	4	no	—
131	C₂×C₄×C₃₇	—	4	4	no	—
132	C₂×C₄×C₃₇	—	4	2	no	—
133	C₂×C₄×C₃₇	—	4	2	no	—
134	C₂×C₄×C₃₇	—	4	4	no	—
135	C₂×C₄×C₃₇	—	8	8	no	—
136	C₂×C₄×C₃₇	#121	1	2	yes	—
137	C₂×C₄×C₃₇	#121	1	2	yes	—
138	C₂×C₄×C₃₇	AGL(1,ℤ/8)	1	4	yes	—
139	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
140	C₂×C₄×C₃₇	C₂²×Q₈	1	1	yes	characteristic
141	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
142	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
143	C₂×C₄×C₃₇	H(5,𝔽₂)	1	1	yes	characteristic
144	C₂×C₄×C₃₇	2₋¹⁺⁴	1	1	yes	characteristic
145	C₈×C₃₇	—	2	2	no	—
146	C₈×C₃₇	—	4	2	no	—
147	C₈×C₃₇	C₂²⋊Q₈	1	4	yes	complemented
148	#28273	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
149	C₂²×C₃₇	—	4	4	no	—
150	C₂²×C₃₇	—	4	4	no	—
151	C₂²×C₃₇	—	4	4	no	—
152	C₂²×C₃₇	—	8	2	no	—
153	C₂²×C₃₇	—	8	2	no	—
154	C₂²×C₃₇	—	8	2	no	—
155	C₂²×C₃₇	—	8	2	no	—
156	C₂²×C₃₇	C₂×#121	1	1	yes	characteristic
157	C₂²×C₃₇	D₄×Q₈	1	1	yes	characteristic
158	C₂²×C₃₇	#550	1	1	yes	characteristic
159	C₂²×C₃₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
160	C₂²×C₃₇	#577	1	2	yes	—
161	C₄×C₃₇	—	2	2	no	—
162	C₄×C₃₇	—	4	2	no	—
163	C₄×C₃₇	—	4	2	no	—
164	C₄×C₃₇	—	8	4	no	—
165	C₄×C₃₇	—	8	2	no	—
166	C₄×C₃₇	#469	1	4	yes	—
167	C₄×C₃₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
168	C₄×C₃₇	#537	1	1	yes	characteristic
169	C₄×C₃₇	#554	1	1	yes	characteristic
170	C₄×C₃₇	#556	1	1	yes	characteristic
171	C₂×#446	C₂×C₃₇	1	1	yes	characteristic, complemented
172	C₂×C₄×D₈	C₂×C₃₇	1	1	yes	characteristic
173	#2538	C₂×C₃₇	1	2	yes	complemented
174	#2065	C₂×C₃₇	1	4	yes	complemented
175	#1972	C₂×C₃₇	1	2	yes	—
176	#1944	C₂×C₃₇	1	2	yes	complemented
177	#1844	C₂×C₃₇	1	1	yes	characteristic, complemented
178	#1802	C₂×C₃₇	1	2	yes	complemented
179	C₂×C₃₇	—	8	4	no	—
180	C₂×C₃₇	#2538	1	1	yes	characteristic
181	C₂×C₃₇	C₂×#469	1	1	yes	characteristic
182	C₂×C₃₇	#3060	1	1	yes	characteristic
183	C₂×C₃₇	#3384	1	2	yes	—
184	C₂×C₃₇	#3397	1	2	yes	—
185	C₂²×D₈	C₂²×C₃₇	1	1	yes	characteristic
186	C₂×C₂²⋊Q₈	—	2	2	no	—
187	C₂×C₄×Q₈	C₂²×C₃₇	1	1	yes	characteristic
188	C₂×C₄×D₄	C₂²×C₃₇	1	2	yes	—
189	#446	—	2	4	no	—
190	C₄×D₈	—	2	4	no	—
191	C₂×#107	C₂²×C₃₇	1	1	yes	characteristic
192	C₂×#106	C₂²×C₃₇	1	2	yes	—
193	C₂×#106	C₂²×C₃₇	1	2	yes	—
194	C₂×C₄⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
195	C₂×C₄⋊C₈	C₂²×C₃₇	1	2	yes	—
196	C₂×#102	C₂²×C₃₇	1	2	yes	—
197	C₂×#102	C₂²×C₃₇	1	4	yes	—
198	C₂×#97	C₂²×C₃₇	1	2	yes	—
199	C₂×C₄×C₈	C₂²×C₃₇	1	1	yes	characteristic
200	#396	—	2	4	no	—
201	#390	C₂²×C₃₇	1	4	yes	—
202	#389	C₂²×C₃₇	1	4	yes	—
203	#384	C₂²×C₃₇	1	2	yes	—
204	#380	—	2	2	no	—
205	#340	C₂²×C₃₇	1	4	yes	—
206	C₃₇	#28273	1	1	yes	characteristic, direct product factor, Sylow
207	C₂²×Q₈	D₄×C₃₇	1	1	yes	characteristic
208	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
209	C₂³×C₄	—	2	2	no	—
210	C₂×D₈	—	2	2	no	—
211	C₂×D₈	—	2	2	no	—
212	C₂×D₈	Q₈×C₃₇	1	4	yes	complemented
213	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
214	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
215	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
216	C₂²⋊Q₈	—	4	8	no	—
217	C₄×Q₈	—	2	2	no	—
218	C₄×Q₈	—	2	2	no	—
219	C₄×D₄	—	2	4	no	—
220	C₄×D₄	—	2	4	no	—
221	C₂×C₄⋊C₄	—	2	2	no	—
222	C₂×C₄⋊C₄	—	2	4	no	—
223	C₂×C₄⋊C₄	—	2	2	no	—
224	C₂×C₄⋊C₄	D₄×C₃₇	1	1	yes	characteristic
225	C₂×C₄⋊C₄	D₄×C₃₇	1	2	yes	—
226	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
227	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
228	C₂×C₂²⋊C₄	—	2	2	no	—
229	C₂×C₂²⋊C₄	—	2	4	no	—
230	C₂×C₂²⋊C₄	—	2	4	no	—
231	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
232	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
233	#107	—	2	2	no	—
234	#106	—	2	4	no	—
235	#106	—	4	2	no	—
236	C₄⋊C₈	—	2	4	no	—
237	C₄⋊C₈	—	2	2	no	—
238	#102	—	2	4	no	—
239	#102	—	4	4	no	—
240	#97	—	2	4	no	—
241	C₄×C₈	D₄×C₃₇	1	4	yes	—
242	#95	—	2	4	no	—
243	C₂⁴	—	2	2	no	—
244	C₂×Q₈	—	2	2	no	—
245	C₂×Q₈	—	2	4	no	—
246	C₂×D₄	—	2	2	no	—
247	C₂×D₄	—	2	2	no	—
248	C₂×D₄	—	2	2	no	—
249	C₂×D₄	—	2	2	no	—
250	C₂×D₄	—	2	2	no	—
251	C₂×D₄	C₂×Q₈×C₃₇	1	4	yes	—
252	C₂²×C₄	—	2	2	no	—
253	C₂²×C₄	—	2	4	no	—
254	C₂²×C₄	—	4	4	no	—
255	C₂²×C₄	—	4	4	no	—
256	C₂²×C₄	—	4	4	no	—
257	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
258	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
259	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
260	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
261	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
262	D₈	—	2	8	no	—
263	C₂×C₈	—	2	1	no	—
264	C₂×C₈	—	2	1	no	—
265	C₂×C₈	—	2	2	no	—
266	C₂×C₈	—	2	2	no	—
267	C₂×C₈	—	2	2	no	—
268	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
269	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
270	C₂×C₈	C₂×Q₈×C₃₇	1	2	yes	—
271	C₂×C₈	#41×C₃₇	1	2	yes	—
272	C₄⋊C₄	—	2	2	no	—
273	C₄⋊C₄	—	2	4	no	—
274	C₄⋊C₄	—	2	2	no	—
275	C₄⋊C₄	—	2	4	no	—
276	C₄⋊C₄	—	2	2	no	—
277	C₄⋊C₄	—	2	4	no	—
278	C₄⋊C₄	—	4	8	no	—
279	C₄⋊C₄	—	4	4	no	—
280	C₄⋊C₄	—	8	2	no	—
281	C₂²⋊C₄	—	4	8	no	—
282	C₂²⋊C₄	—	4	4	no	—
283	C₂²⋊C₄	—	8	4	no	—
284	C₄²	—	2	2	no	—
285	C₄²	—	2	2	no	—
286	C₄²	C₂×D₄×C₃₇	1	2	yes	—
287	C₄²	#41×C₃₇	1	2	yes	—
288	C₂³	—	2	4	no	—
289	C₂³	—	4	2	no	—
290	C₂³	—	4	2	no	—
291	C₂³	—	4	2	no	—
292	C₂³	—	4	2	no	—
293	C₂³	—	4	2	no	—
294	C₂³	—	4	2	no	—
295	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
296	Q₈	—	4	4	no	—
297	D₄	—	2	4	no	—
298	D₄	—	2	4	no	—
299	D₄	—	4	2	no	—
300	D₄	—	4	2	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	4	no	—
305	C₂×C₄	—	2	4	no	—
306	C₂×C₄	—	4	2	no	—
307	C₂×C₄	—	4	4	no	—
308	C₂×C₄	—	4	4	no	—
309	C₂×C₄	—	4	2	no	—
310	C₂×C₄	—	4	2	no	—
311	C₂×C₄	—	4	4	no	—
312	C₂×C₄	—	8	8	no	—
313	C₂×C₄	#121×C₃₇	1	2	yes	—
314	C₂×C₄	#121×C₃₇	1	2	yes	—
315	C₂×C₄	AGL(1,ℤ/8)×C₃₇	1	4	yes	—
316	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
317	C₂×C₄	C₂²×Q₈×C₃₇	1	1	yes	characteristic
318	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
319	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
320	C₂×C₄	H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
321	C₂×C₄	2₋¹⁺⁴×C₃₇	1	1	yes	characteristic
322	C₈	—	2	2	no	—
323	C₈	—	4	2	no	—
324	C₈	C₂²⋊Q₈×C₃₇	1	4	yes	complemented
325	C₂²	—	4	4	no	—
326	C₂²	—	4	4	no	—
327	C₂²	—	4	4	no	—
328	C₂²	—	8	2	no	—
329	C₂²	—	8	2	no	—
330	C₂²	—	8	2	no	—
331	C₂²	—	8	2	no	—
332	C₂²	C₂×#121×C₃₇	1	1	yes	characteristic
333	C₂²	D₄×Q₈×C₃₇	1	1	yes	characteristic
334	C₂²	C₃₇×#550	1	1	yes	characteristic
335	C₂²	C₂×AGL(1,ℤ/8)×C₃₇	1	2	yes	—
336	C₂²	C₃₇×#577	1	2	yes	—
337	C₄	—	2	2	no	—
338	C₄	—	4	2	no	—
339	C₄	—	4	2	no	—
340	C₄	—	8	4	no	—
341	C₄	—	8	2	no	—
342	C₄	C₃₇×#469	1	4	yes	—
343	C₄	C₂×C₂²⋊Q₈×C₃₇	1	1	yes	characteristic
344	C₄	C₃₇×#537	1	1	yes	characteristic
345	C₄	C₃₇×#554	1	1	yes	characteristic
346	C₄	C₃₇×#556	1	1	yes	characteristic
347	C₂	—	8	4	no	—
348	C₂	C₃₇×#2538	1	1	yes	characteristic
349	C₂	C₂×C₃₇×#469	1	1	yes	characteristic
350	C₂	C₃₇×#3060	1	1	yes	characteristic
351	C₂	C₃₇×#3384	1	2	yes	—
352	C₂	C₃₇×#3397	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₇
prime radical	C₂²×D₈×C₃₇	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃₇ ◁ C₂×C₄×Q₈×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃₇×#446	C₂	semidirect
3. C₃₇×#2538	C₂	semidirect
4. C₃₇×#2065	C₂	semidirect
6. C₃₇×#1944	C₂	semidirect
7. C₃₇×#1844	C₂	semidirect
8. C₃₇×#1802	C₂	semidirect
35. C₂×D₈×C₃₇	Q₈	semidirect
147. C₈×C₃₇	C₂²⋊Q₈	semidirect
148. #28273	C₃₇	direct (N × H)
171. C₂×#446	C₂×C₃₇	semidirect
173. #2538	C₂×C₃₇	semidirect
174. #2065	C₂×C₃₇	semidirect
176. #1944	C₂×C₃₇	semidirect
177. #1844	C₂×C₃₇	semidirect
178. #1802	C₂×C₃₇	semidirect
206. C₃₇	#28273	direct (N × H)
212. C₂×D₈	Q₈×C₃₇	semidirect
324. C₈	C₂²⋊Q₈×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×#446	2
C₂×C₄×D₈×C₃₇	2
C₃₇×#2538	2
C₃₇×#2065	2
C₃₇×#1972	2
C₃₇×#1944	2
C₃₇×#1844	2
C₃₇×#1802	2
#28273	37

Subgroups — C37×#28273 #22649526

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#28273 #22649526