Subgroups — C₃₇×#28353 #22649606

Order 9472.

1338 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₇×#482	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃₇×#469	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃₇×#447	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃₇×#418	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₇×#2500	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₇×#2433	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₇×#2094	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₇×#2092	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₇×#2011	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₇×#2011	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₇×#1972	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₇×#1970	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₇×#1961	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₇×#1957	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₇×#1753	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×D₄×C₃₇	C₂²	1	1	yes	characteristic
17	C₂²×D₈×C₃₇	C₂²	1	1	yes	characteristic
18	C₂²×D₈×C₃₇	C₂²	1	1	yes	characteristic
19	C₂²×D₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
20	C₂²×M₁₆×C₃₇	C₂²	1	1	yes	characteristic
21	C₂×#127×C₃₇	C₂²	1	1	yes	characteristic
22	C₂×#127×C₃₇	C₂²	1	1	yes	characteristic
23	C₂×#121×C₃₇	C₂²	1	1	yes	characteristic
24	C₂×#121×C₃₇	C₂²	1	1	yes	characteristic
25	C₂×#120×C₃₇	—	2	2	no	—
26	C₂×#117×C₃₇	C₂²	1	1	yes	characteristic
27	C₃₇×#482	—	2	4	no	—
28	C₃₇×#469	—	2	4	no	—
29	C₃₇×#447	—	2	4	no	—
30	C₂×#107×C₃₇	C₂²	1	1	yes	characteristic, complemented
31	C₂×#106×C₃₇	C₂²	1	1	yes	characteristic, complemented
32	C₂×#106×C₃₇	C₂²	1	1	yes	characteristic, complemented
33	C₃₇×#418	—	2	4	no	—
34	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
35	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
36	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
37	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
38	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
39	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
40	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic, complemented
41	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic, complemented
42	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic, complemented
43	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₂²⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
45	C₂×#97×C₃₇	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
47	C₃₇×#394	—	2	2	no	—
48	C₃₇×#392	—	2	2	no	—
49	C₃₇×#390	C₂²	1	1	yes	characteristic
50	C₃₇×#390	C₂²	1	1	yes	characteristic
51	C₃₇×#390	C₂²	1	1	yes	characteristic, complemented
52	C₃₇×#390	C₂²	1	1	yes	characteristic, complemented
53	C₃₇×#388	—	2	2	no	—
54	C₃₇×#384	C₂²	1	1	yes	characteristic, complemented
55	C₃₇×#382	C₂²	1	1	yes	characteristic, complemented
56	C₄×C₂²⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
57	C₃₇×#336	C₂²	1	1	yes	characteristic, complemented
58	C₃₇×#336	C₂²	1	1	yes	characteristic, complemented
59	C₂⁵×C₃₇	—	2	1	no	—
60	C₂²×D₄×C₃₇	—	2	2	no	—
61	C₂²×D₄×C₃₇	—	2	2	no	—
62	C₂²×D₄×C₃₇	—	2	1	no	—
63	C₂²×D₄×C₃₇	—	2	1	no	—
64	C₂²×D₄×C₃₇	—	2	2	no	—
65	C₂²×D₄×C₃₇	—	2	2	no	—
66	C₂²×D₄×C₃₇	—	2	1	no	—
67	C₂²×D₄×C₃₇	—	2	2	no	—
68	C₂²×D₄×C₃₇	—	2	2	no	—
69	C₂²×D₄×C₃₇	—	4	1	no	—
70	C₂²×D₄×C₃₇	—	4	1	no	—
71	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
72	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
73	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
74	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
75	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
76	C₂×D₈×C₃₇	—	2	2	no	—
77	C₂×D₈×C₃₇	—	2	2	no	—
78	C₂×D₈×C₃₇	—	2	2	no	—
79	C₂×D₈×C₃₇	—	2	2	no	—
80	C₂×D₈×C₃₇	—	2	2	no	—
81	C₂×D₈×C₃₇	—	4	1	no	—
82	C₂×D₈×C₃₇	—	4	1	no	—
83	C₂×D₈×C₃₇	—	4	1	no	—
84	C₂×D₈×C₃₇	—	4	1	no	—
85	C₂×M₁₆×C₃₇	—	4	1	no	—
86	C₂×M₁₆×C₃₇	—	4	1	no	—
87	C₂×M₁₆×C₃₇	D₄	1	4	yes	complemented
88	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
89	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
90	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
91	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
92	#127×C₃₇	—	2	2	no	—
93	#127×C₃₇	—	2	2	no	—
94	#127×C₃₇	—	4	1	no	—
95	#127×C₃₇	—	4	1	no	—
96	#121×C₃₇	—	2	2	no	—
97	#121×C₃₇	—	2	2	no	—
98	#121×C₃₇	—	2	2	no	—
99	#121×C₃₇	—	2	2	no	—
100	#120×C₃₇	—	4	8	no	—
101	#117×C₃₇	—	2	2	no	—
102	#117×C₃₇	—	2	2	no	—
103	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
104	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
105	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
106	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
107	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
108	C₂×C₂²⋊C₄×C₃₇	—	2	1	no	—
109	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
110	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
111	C₂×C₂²⋊C₄×C₃₇	—	2	1	no	—
112	C₂×C₂²⋊C₄×C₃₇	—	2	1	no	—
113	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
114	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
115	C₂×C₂²⋊C₄×C₃₇	D₄	1	2	yes	—
116	C₂×C₄²×C₃₇	—	2	1	no	—
117	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
118	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
119	#107×C₃₇	—	2	2	no	—
120	#106×C₃₇	—	2	2	no	—
121	#106×C₃₇	—	2	2	no	—
122	#102×C₃₇	—	2	2	no	—
123	#102×C₃₇	—	2	2	no	—
124	#102×C₃₇	—	2	2	no	—
125	#102×C₃₇	—	2	2	no	—
126	#102×C₃₇	—	2	2	no	—
127	#102×C₃₇	—	2	2	no	—
128	#102×C₃₇	—	2	2	no	—
129	#102×C₃₇	—	2	2	no	—
130	#102×C₃₇	—	2	2	no	—
131	#102×C₃₇	—	2	2	no	—
132	C₂²⋊C₈×C₃₇	D₄	1	4	yes	complemented
133	#97×C₃₇	—	4	1	no	—
134	C₄×C₈×C₃₇	—	4	1	no	—
135	#95×C₃₇	—	2	2	no	—
136	#95×C₃₇	D₄	1	2	yes	—
137	C₂⁴×C₃₇	—	2	1	no	—
138	C₂⁴×C₃₇	—	2	1	no	—
139	C₂⁴×C₃₇	—	2	1	no	—
140	C₂⁴×C₃₇	—	2	1	no	—
141	C₂⁴×C₃₇	—	4	2	no	—
142	C₂⁴×C₃₇	—	4	2	no	—
143	C₂⁴×C₃₇	—	4	4	no	—
144	C₂⁴×C₃₇	—	4	2	no	—
145	C₂⁴×C₃₇	—	8	2	no	—
146	C₂⁴×C₃₇	C₂×D₄	1	1	yes	characteristic
147	C₂×D₄×C₃₇	—	2	8	no	—
148	C₂×D₄×C₃₇	—	2	1	no	—
149	C₂×D₄×C₃₇	—	2	1	no	—
150	C₂×D₄×C₃₇	—	2	1	no	—
151	C₂×D₄×C₃₇	—	2	1	no	—
152	C₂×D₄×C₃₇	—	2	1	no	—
153	C₂×D₄×C₃₇	—	2	1	no	—
154	C₂×D₄×C₃₇	—	2	1	no	—
155	C₂×D₄×C₃₇	—	2	1	no	—
156	C₂×D₄×C₃₇	—	2	1	no	—
157	C₂×D₄×C₃₇	—	2	1	no	—
158	C₂×D₄×C₃₇	—	2	1	no	—
159	C₂×D₄×C₃₇	—	2	1	no	—
160	C₂×D₄×C₃₇	—	2	1	no	—
161	C₂×D₄×C₃₇	—	2	1	no	—
162	C₂×D₄×C₃₇	—	2	1	no	—
163	C₂×D₄×C₃₇	—	2	1	no	—
164	C₂×D₄×C₃₇	—	2	1	no	—
165	C₂×D₄×C₃₇	—	2	1	no	—
166	C₂×D₄×C₃₇	—	2	1	no	—
167	C₂×D₄×C₃₇	—	2	1	no	—
168	C₂×D₄×C₃₇	—	2	1	no	—
169	C₂×D₄×C₃₇	—	2	1	no	—
170	C₂×D₄×C₃₇	—	4	4	no	—
171	C₂×D₄×C₃₇	—	4	4	no	—
172	C₂×D₄×C₃₇	—	4	2	no	—
173	C₂×D₄×C₃₇	—	4	2	no	—
174	C₂×D₄×C₃₇	—	4	4	no	—
175	C₂×D₄×C₃₇	—	4	4	no	—
176	C₂×D₄×C₃₇	—	4	4	no	—
177	C₂×D₄×C₃₇	—	4	4	no	—
178	C₂×D₄×C₃₇	—	4	4	no	—
179	C₂×D₄×C₃₇	—	4	2	no	—
180	C₂×D₄×C₃₇	—	4	2	no	—
181	C₂×D₄×C₃₇	—	4	2	no	—
182	C₂×D₄×C₃₇	—	4	4	no	—
183	C₂×D₄×C₃₇	—	8	2	no	—
184	C₂×D₄×C₃₇	—	8	2	no	—
185	C₂×D₄×C₃₇	—	8	2	no	—
186	C₂×D₄×C₃₇	#41	1	2	yes	—
187	C₂×D₄×C₃₇	#41	1	2	yes	—
188	C₂²×C₄×C₃₇	—	2	1	no	—
189	C₂²×C₄×C₃₇	—	2	1	no	—
190	C₂²×C₄×C₃₇	—	2	1	no	—
191	C₂²×C₄×C₃₇	—	2	1	no	—
192	C₂²×C₄×C₃₇	—	2	1	no	—
193	C₂²×C₄×C₃₇	—	2	1	no	—
194	C₂²×C₄×C₃₇	—	2	1	no	—
195	C₂²×C₄×C₃₇	—	2	1	no	—
196	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
197	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
198	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
199	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
200	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
201	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
202	D₈×C₃₇	—	4	4	no	—
203	D₈×C₃₇	—	4	4	no	—
204	D₈×C₃₇	—	4	4	no	—
205	M₁₆×C₃₇	—	4	4	no	—
206	C₂×C₈×C₃₇	—	2	1	no	—
207	C₂×C₈×C₃₇	—	2	1	no	—
208	C₂×C₈×C₃₇	—	2	1	no	—
209	C₂×C₈×C₃₇	—	2	1	no	—
210	C₂×C₈×C₃₇	—	2	1	no	—
211	C₂×C₈×C₃₇	—	2	1	no	—
212	C₂×C₈×C₃₇	—	2	1	no	—
213	C₂×C₈×C₃₇	—	2	1	no	—
214	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
215	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
216	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
217	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
218	C₄⋊C₄×C₃₇	—	2	1	no	—
219	C₄⋊C₄×C₃₇	—	2	1	no	—
220	C₄⋊C₄×C₃₇	—	2	1	no	—
221	C₄⋊C₄×C₃₇	—	2	1	no	—
222	C₄⋊C₄×C₃₇	—	2	1	no	—
223	C₄⋊C₄×C₃₇	—	2	1	no	—
224	C₄⋊C₄×C₃₇	—	2	1	no	—
225	C₄⋊C₄×C₃₇	—	2	1	no	—
226	C₄⋊C₄×C₃₇	—	8	2	no	—
227	C₂²⋊C₄×C₃₇	—	2	4	no	—
228	C₂²⋊C₄×C₃₇	—	4	4	no	—
229	C₂²⋊C₄×C₃₇	—	4	2	no	—
230	C₂²⋊C₄×C₃₇	—	4	2	no	—
231	C₂²⋊C₄×C₃₇	—	4	2	no	—
232	C₂²⋊C₄×C₃₇	—	4	4	no	—
233	C₂²⋊C₄×C₃₇	—	4	4	no	—
234	C₂²⋊C₄×C₃₇	—	8	2	no	—
235	C₄²×C₃₇	—	2	1	no	—
236	C₄²×C₃₇	—	2	1	no	—
237	C₄²×C₃₇	—	2	1	no	—
238	C₄²×C₃₇	—	2	1	no	—
239	C₄²×C₃₇	—	4	2	no	—
240	C₂³×C₃₇	—	2	1	no	—
241	C₂³×C₃₇	—	2	1	no	—
242	C₂³×C₃₇	—	2	2	no	—
243	C₂³×C₃₇	—	2	2	no	—
244	C₂³×C₃₇	—	2	2	no	—
245	C₂³×C₃₇	—	2	2	no	—
246	C₂³×C₃₇	—	4	8	no	—
247	C₂³×C₃₇	—	4	1	no	—
248	C₂³×C₃₇	—	4	1	no	—
249	C₂³×C₃₇	—	4	1	no	—
250	C₂³×C₃₇	—	4	1	no	—
251	C₂³×C₃₇	—	4	2	no	—
252	C₂³×C₃₇	—	4	2	no	—
253	C₂³×C₃₇	—	4	2	no	—
254	C₂³×C₃₇	—	4	2	no	—
255	C₂³×C₃₇	—	4	1	no	—
256	C₂³×C₃₇	—	4	1	no	—
257	C₂³×C₃₇	—	4	1	no	—
258	C₂³×C₃₇	—	4	1	no	—
259	C₂³×C₃₇	—	4	1	no	—
260	C₂³×C₃₇	—	4	1	no	—
261	C₂³×C₃₇	—	4	2	no	—
262	C₂³×C₃₇	—	4	2	no	—
263	C₂³×C₃₇	—	4	2	no	—
264	C₂³×C₃₇	—	4	2	no	—
265	C₂³×C₃₇	—	8	4	no	—
266	C₂³×C₃₇	—	8	4	no	—
267	C₂³×C₃₇	—	8	8	no	—
268	C₂³×C₃₇	—	8	8	no	—
269	C₂³×C₃₇	#127	1	2	yes	—
270	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
271	D₄×C₃₇	—	2	2	no	—
272	D₄×C₃₇	—	2	2	no	—
273	D₄×C₃₇	—	2	2	no	—
274	D₄×C₃₇	—	2	2	no	—
275	D₄×C₃₇	—	4	8	no	—
276	D₄×C₃₇	—	4	1	no	—
277	D₄×C₃₇	—	4	1	no	—
278	D₄×C₃₇	—	4	1	no	—
279	D₄×C₃₇	—	4	1	no	—
280	D₄×C₃₇	—	4	1	no	—
281	D₄×C₃₇	—	4	1	no	—
282	D₄×C₃₇	—	4	1	no	—
283	D₄×C₃₇	—	4	1	no	—
284	D₄×C₃₇	—	4	1	no	—
285	D₄×C₃₇	—	4	1	no	—
286	D₄×C₃₇	—	4	1	no	—
287	D₄×C₃₇	—	4	1	no	—
288	D₄×C₃₇	—	8	8	no	—
289	D₄×C₃₇	—	8	8	no	—
290	D₄×C₃₇	—	8	4	no	—
291	D₄×C₃₇	—	8	4	no	—
292	C₂×C₄×C₃₇	—	2	2	no	—
293	C₂×C₄×C₃₇	—	2	1	no	—
294	C₂×C₄×C₃₇	—	2	1	no	—
295	C₂×C₄×C₃₇	—	2	2	no	—
296	C₂×C₄×C₃₇	—	2	2	no	—
297	C₂×C₄×C₃₇	—	2	2	no	—
298	C₂×C₄×C₃₇	—	2	2	no	—
299	C₂×C₄×C₃₇	—	2	2	no	—
300	C₂×C₄×C₃₇	—	2	2	no	—
301	C₂×C₄×C₃₇	—	2	2	no	—
302	C₂×C₄×C₃₇	—	2	2	no	—
303	C₂×C₄×C₃₇	—	4	1	no	—
304	C₂×C₄×C₃₇	—	4	1	no	—
305	C₂×C₄×C₃₇	—	4	1	no	—
306	C₂×C₄×C₃₇	—	4	1	no	—
307	C₂×C₄×C₃₇	—	4	2	no	—
308	C₂×C₄×C₃₇	—	4	2	no	—
309	C₂×C₄×C₃₇	—	4	2	no	—
310	C₂×C₄×C₃₇	—	4	2	no	—
311	C₂×C₄×C₃₇	#127	1	2	yes	—
312	C₂×C₄×C₃₇	AGL(1,ℤ/8)	1	4	yes	—
313	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
314	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
315	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
316	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
317	C₂×C₄×C₃₇	H(5,𝔽₂)	1	1	yes	characteristic
318	C₂×C₄×C₃₇	H(5,𝔽₂)	1	1	yes	characteristic
319	C₈×C₃₇	—	2	2	no	—
320	C₈×C₃₇	—	2	2	no	—
321	C₈×C₃₇	—	2	2	no	—
322	C₈×C₃₇	—	2	2	no	—
323	#28353	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
324	C₂²×C₃₇	—	2	2	no	—
325	C₂²×C₃₇	—	2	2	no	—
326	C₂²×C₃₇	—	2	2	no	—
327	C₂²×C₃₇	—	4	2	no	—
328	C₂²×C₃₇	—	4	2	no	—
329	C₂²×C₃₇	—	4	2	no	—
330	C₂²×C₃₇	—	4	2	no	—
331	C₂²×C₃₇	—	4	4	no	—
332	C₂²×C₃₇	—	4	4	no	—
333	C₂²×C₃₇	—	8	16	no	—
334	C₂²×C₃₇	—	8	1	no	—
335	C₂²×C₃₇	—	8	1	no	—
336	C₂²×C₃₇	—	8	1	no	—
337	C₂²×C₃₇	—	8	1	no	—
338	C₂²×C₃₇	—	8	2	no	—
339	C₂²×C₃₇	—	8	2	no	—
340	C₂²×C₃₇	—	8	1	no	—
341	C₂²×C₃₇	—	8	1	no	—
342	C₂²×C₃₇	—	8	1	no	—
343	C₂²×C₃₇	—	8	1	no	—
344	C₂²×C₃₇	—	8	1	no	—
345	C₂²×C₃₇	—	8	1	no	—
346	C₂²×C₃₇	—	8	2	no	—
347	C₂²×C₃₇	—	8	2	no	—
348	C₂²×C₃₇	—	8	2	no	—
349	C₂²×C₃₇	—	8	2	no	—
350	C₂²×C₃₇	C₂×#127	1	1	yes	characteristic
351	C₂²×C₃₇	#546	1	1	yes	characteristic
352	C₂²×C₃₇	#546	1	1	yes	characteristic
353	C₂²×C₃₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
354	C₂²×C₃₇	#576	1	2	yes	—
355	C₄×C₃₇	—	2	2	no	—
356	C₄×C₃₇	—	2	4	no	—
357	C₄×C₃₇	—	4	2	no	—
358	C₄×C₃₇	—	8	1	no	—
359	C₄×C₃₇	—	8	1	no	—
360	C₄×C₃₇	—	8	1	no	—
361	C₄×C₃₇	—	8	1	no	—
362	C₄×C₃₇	#525	1	1	yes	characteristic
363	C₄×C₃₇	#534	1	1	yes	characteristic
364	C₄×C₃₇	#546	1	1	yes	characteristic
365	C₄×C₃₇	#546	1	1	yes	characteristic
366	C₂×#482	C₂×C₃₇	1	1	yes	characteristic, complemented
367	C₂×#469	C₂×C₃₇	1	1	yes	characteristic, complemented
368	C₂×#447	C₂×C₃₇	1	1	yes	characteristic, complemented
369	C₂×#418	C₂×C₃₇	1	1	yes	characteristic, complemented
370	#2500	C₂×C₃₇	1	1	yes	characteristic, complemented
371	#2433	C₂×C₃₇	1	1	yes	characteristic, complemented
372	#2094	C₂×C₃₇	1	1	yes	characteristic, complemented
373	#2092	C₂×C₃₇	1	1	yes	characteristic, complemented
374	#2011	C₂×C₃₇	1	1	yes	characteristic, complemented
375	#2011	C₂×C₃₇	1	1	yes	characteristic, complemented
376	#1972	C₂×C₃₇	1	1	yes	characteristic, complemented
377	#1970	C₂×C₃₇	1	1	yes	characteristic, complemented
378	#1961	C₂×C₃₇	1	1	yes	characteristic, complemented
379	#1957	C₂×C₃₇	1	1	yes	characteristic, complemented
380	#1753	C₂×C₃₇	1	1	yes	characteristic, complemented
381	C₂×C₃₇	—	4	2	no	—
382	C₂×C₃₇	—	8	2	no	—
383	C₂×C₃₇	—	8	2	no	—
384	C₂×C₃₇	—	16	1	no	—
385	C₂×C₃₇	—	16	1	no	—
386	C₂×C₃₇	#2539	1	1	yes	characteristic
387	C₂×C₃₇	#3151	1	1	yes	characteristic
388	C₂×C₃₇	#3155	1	1	yes	characteristic
389	C₂×C₃₇	#3318	1	2	yes	—
390	C₂×C₃₇	#3325	1	2	yes	—
391	C₂³×D₄	C₂²×C₃₇	1	1	yes	characteristic
392	C₂²×D₈	C₂²×C₃₇	1	1	yes	characteristic
393	C₂²×D₈	C₂²×C₃₇	1	1	yes	characteristic
394	C₂²×D₈	C₂²×C₃₇	1	1	yes	characteristic, complemented
395	C₂²×M₁₆	C₂²×C₃₇	1	1	yes	characteristic
396	C₂×#127	C₂²×C₃₇	1	1	yes	characteristic
397	C₂×#127	C₂²×C₃₇	1	1	yes	characteristic
398	C₂×#121	C₂²×C₃₇	1	1	yes	characteristic
399	C₂×#121	C₂²×C₃₇	1	1	yes	characteristic
400	C₂×#120	—	2	2	no	—
401	C₂×#117	C₂²×C₃₇	1	1	yes	characteristic
402	#482	—	2	4	no	—
403	#469	—	2	4	no	—
404	#447	—	2	4	no	—
405	C₂×#107	C₂²×C₃₇	1	1	yes	characteristic, complemented
406	C₂×#106	C₂²×C₃₇	1	1	yes	characteristic, complemented
407	C₂×#106	C₂²×C₃₇	1	1	yes	characteristic, complemented
408	#418	—	2	4	no	—
409	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
410	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
411	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
412	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
413	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
414	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
415	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic, complemented
416	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic, complemented
417	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic, complemented
418	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic, complemented
419	C₂×C₂²⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
420	C₂×#97	C₂²×C₃₇	1	1	yes	characteristic, complemented
421	C₂×C₄×C₈	C₂²×C₃₇	1	1	yes	characteristic, complemented
422	#394	—	2	2	no	—
423	#392	—	2	2	no	—
424	#390	C₂²×C₃₇	1	1	yes	characteristic
425	#390	C₂²×C₃₇	1	1	yes	characteristic
426	#390	C₂²×C₃₇	1	1	yes	characteristic, complemented
427	#390	C₂²×C₃₇	1	1	yes	characteristic, complemented
428	#388	—	2	2	no	—
429	#384	C₂²×C₃₇	1	1	yes	characteristic, complemented
430	#382	C₂²×C₃₇	1	1	yes	characteristic, complemented
431	C₄×C₂²⋊C₄	C₂²×C₃₇	1	1	yes	characteristic
432	#336	C₂²×C₃₇	1	1	yes	characteristic, complemented
433	#336	C₂²×C₃₇	1	1	yes	characteristic, complemented
434	C₃₇	#28353	1	1	yes	characteristic, direct product factor, Sylow
435	C₂⁵	—	2	1	no	—
436	C₂²×D₄	—	2	2	no	—
437	C₂²×D₄	—	2	2	no	—
438	C₂²×D₄	—	2	1	no	—
439	C₂²×D₄	—	2	1	no	—
440	C₂²×D₄	—	2	2	no	—
441	C₂²×D₄	—	2	2	no	—
442	C₂²×D₄	—	2	1	no	—
443	C₂²×D₄	—	2	2	no	—
444	C₂²×D₄	—	2	2	no	—
445	C₂²×D₄	—	4	1	no	—
446	C₂²×D₄	—	4	1	no	—
447	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
448	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
449	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
450	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
451	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
452	C₂×D₈	—	2	2	no	—
453	C₂×D₈	—	2	2	no	—
454	C₂×D₈	—	2	2	no	—
455	C₂×D₈	—	2	2	no	—
456	C₂×D₈	—	2	2	no	—
457	C₂×D₈	—	4	1	no	—
458	C₂×D₈	—	4	1	no	—
459	C₂×D₈	—	4	1	no	—
460	C₂×D₈	—	4	1	no	—
461	C₂×M₁₆	—	4	1	no	—
462	C₂×M₁₆	—	4	1	no	—
463	C₂×M₁₆	D₄×C₃₇	1	4	yes	complemented
464	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
465	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
466	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
467	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
468	#127	—	2	2	no	—
469	#127	—	2	2	no	—
470	#127	—	4	1	no	—
471	#127	—	4	1	no	—
472	#121	—	2	2	no	—
473	#121	—	2	2	no	—
474	#121	—	2	2	no	—
475	#121	—	2	2	no	—
476	#120	—	4	8	no	—
477	#117	—	2	2	no	—
478	#117	—	2	2	no	—
479	C₂×C₄⋊C₄	—	2	2	no	—
480	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
481	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
482	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
483	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
484	C₂×C₂²⋊C₄	—	2	1	no	—
485	C₂×C₂²⋊C₄	—	2	2	no	—
486	C₂×C₂²⋊C₄	—	2	2	no	—
487	C₂×C₂²⋊C₄	—	2	1	no	—
488	C₂×C₂²⋊C₄	—	2	1	no	—
489	C₂×C₂²⋊C₄	—	2	2	no	—
490	C₂×C₂²⋊C₄	—	2	2	no	—
491	C₂×C₂²⋊C₄	D₄×C₃₇	1	2	yes	—
492	C₂×C₄²	—	2	1	no	—
493	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
494	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
495	#107	—	2	2	no	—
496	#106	—	2	2	no	—
497	#106	—	2	2	no	—
498	#102	—	2	2	no	—
499	#102	—	2	2	no	—
500	#102	—	2	2	no	—
501	#102	—	2	2	no	—
502	#102	—	2	2	no	—
503	#102	—	2	2	no	—
504	#102	—	2	2	no	—
505	#102	—	2	2	no	—
506	#102	—	2	2	no	—
507	#102	—	2	2	no	—
508	C₂²⋊C₈	D₄×C₃₇	1	4	yes	complemented
509	#97	—	4	1	no	—
510	C₄×C₈	—	4	1	no	—
511	#95	—	2	2	no	—
512	#95	D₄×C₃₇	1	2	yes	—
513	C₂⁴	—	2	1	no	—
514	C₂⁴	—	2	1	no	—
515	C₂⁴	—	2	1	no	—
516	C₂⁴	—	2	1	no	—
517	C₂⁴	—	4	2	no	—
518	C₂⁴	—	4	2	no	—
519	C₂⁴	—	4	4	no	—
520	C₂⁴	—	4	2	no	—
521	C₂⁴	—	8	2	no	—
522	C₂⁴	C₂×D₄×C₃₇	1	1	yes	characteristic
523	C₂×D₄	—	2	8	no	—
524	C₂×D₄	—	2	1	no	—
525	C₂×D₄	—	2	1	no	—
526	C₂×D₄	—	2	1	no	—
527	C₂×D₄	—	2	1	no	—
528	C₂×D₄	—	2	1	no	—
529	C₂×D₄	—	2	1	no	—
530	C₂×D₄	—	2	1	no	—
531	C₂×D₄	—	2	1	no	—
532	C₂×D₄	—	2	1	no	—
533	C₂×D₄	—	2	1	no	—
534	C₂×D₄	—	2	1	no	—
535	C₂×D₄	—	2	1	no	—
536	C₂×D₄	—	2	1	no	—
537	C₂×D₄	—	2	1	no	—
538	C₂×D₄	—	2	1	no	—
539	C₂×D₄	—	2	1	no	—
540	C₂×D₄	—	2	1	no	—
541	C₂×D₄	—	2	1	no	—
542	C₂×D₄	—	2	1	no	—
543	C₂×D₄	—	2	1	no	—
544	C₂×D₄	—	2	1	no	—
545	C₂×D₄	—	2	1	no	—
546	C₂×D₄	—	4	4	no	—
547	C₂×D₄	—	4	4	no	—
548	C₂×D₄	—	4	2	no	—
549	C₂×D₄	—	4	2	no	—
550	C₂×D₄	—	4	4	no	—
551	C₂×D₄	—	4	4	no	—
552	C₂×D₄	—	4	4	no	—
553	C₂×D₄	—	4	4	no	—
554	C₂×D₄	—	4	4	no	—
555	C₂×D₄	—	4	2	no	—
556	C₂×D₄	—	4	2	no	—
557	C₂×D₄	—	4	2	no	—
558	C₂×D₄	—	4	4	no	—
559	C₂×D₄	—	8	2	no	—
560	C₂×D₄	—	8	2	no	—
561	C₂×D₄	—	8	2	no	—
562	C₂×D₄	#41×C₃₇	1	2	yes	—
563	C₂×D₄	#41×C₃₇	1	2	yes	—
564	C₂²×C₄	—	2	1	no	—
565	C₂²×C₄	—	2	1	no	—
566	C₂²×C₄	—	2	1	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	2	1	no	—
571	C₂²×C₄	—	2	1	no	—
572	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
573	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
574	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
575	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
576	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
577	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
578	D₈	—	4	4	no	—
579	D₈	—	4	4	no	—
580	D₈	—	4	4	no	—
581	M₁₆	—	4	4	no	—
582	C₂×C₈	—	2	1	no	—
583	C₂×C₈	—	2	1	no	—
584	C₂×C₈	—	2	1	no	—
585	C₂×C₈	—	2	1	no	—
586	C₂×C₈	—	2	1	no	—
587	C₂×C₈	—	2	1	no	—
588	C₂×C₈	—	2	1	no	—
589	C₂×C₈	—	2	1	no	—
590	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
591	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
592	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
593	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
594	C₄⋊C₄	—	2	1	no	—
595	C₄⋊C₄	—	2	1	no	—
596	C₄⋊C₄	—	2	1	no	—
597	C₄⋊C₄	—	2	1	no	—
598	C₄⋊C₄	—	2	1	no	—
599	C₄⋊C₄	—	2	1	no	—
600	C₄⋊C₄	—	2	1	no	—
601	C₄⋊C₄	—	2	1	no	—
602	C₄⋊C₄	—	8	2	no	—
603	C₂²⋊C₄	—	2	4	no	—
604	C₂²⋊C₄	—	4	4	no	—
605	C₂²⋊C₄	—	4	2	no	—
606	C₂²⋊C₄	—	4	2	no	—
607	C₂²⋊C₄	—	4	2	no	—
608	C₂²⋊C₄	—	4	4	no	—
609	C₂²⋊C₄	—	4	4	no	—
610	C₂²⋊C₄	—	8	2	no	—
611	C₄²	—	2	1	no	—
612	C₄²	—	2	1	no	—
613	C₄²	—	2	1	no	—
614	C₄²	—	2	1	no	—
615	C₄²	—	4	2	no	—
616	C₂³	—	2	1	no	—
617	C₂³	—	2	1	no	—
618	C₂³	—	2	2	no	—
619	C₂³	—	2	2	no	—
620	C₂³	—	2	2	no	—
621	C₂³	—	2	2	no	—
622	C₂³	—	4	8	no	—
623	C₂³	—	4	1	no	—
624	C₂³	—	4	1	no	—
625	C₂³	—	4	1	no	—
626	C₂³	—	4	1	no	—
627	C₂³	—	4	2	no	—
628	C₂³	—	4	2	no	—
629	C₂³	—	4	2	no	—
630	C₂³	—	4	2	no	—
631	C₂³	—	4	1	no	—
632	C₂³	—	4	1	no	—
633	C₂³	—	4	1	no	—
634	C₂³	—	4	1	no	—
635	C₂³	—	4	1	no	—
636	C₂³	—	4	1	no	—
637	C₂³	—	4	2	no	—
638	C₂³	—	4	2	no	—
639	C₂³	—	4	2	no	—
640	C₂³	—	4	2	no	—
641	C₂³	—	8	4	no	—
642	C₂³	—	8	4	no	—
643	C₂³	—	8	8	no	—
644	C₂³	—	8	8	no	—
645	C₂³	#127×C₃₇	1	2	yes	—
646	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
647	D₄	—	2	2	no	—
648	D₄	—	2	2	no	—
649	D₄	—	2	2	no	—
650	D₄	—	2	2	no	—
651	D₄	—	4	8	no	—
652	D₄	—	4	1	no	—
653	D₄	—	4	1	no	—
654	D₄	—	4	1	no	—
655	D₄	—	4	1	no	—
656	D₄	—	4	1	no	—
657	D₄	—	4	1	no	—
658	D₄	—	4	1	no	—
659	D₄	—	4	1	no	—
660	D₄	—	4	1	no	—
661	D₄	—	4	1	no	—
662	D₄	—	4	1	no	—
663	D₄	—	4	1	no	—
664	D₄	—	8	8	no	—
665	D₄	—	8	8	no	—
666	D₄	—	8	4	no	—
667	D₄	—	8	4	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	1	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	2	2	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	2	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	2	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	4	1	no	—
680	C₂×C₄	—	4	1	no	—
681	C₂×C₄	—	4	1	no	—
682	C₂×C₄	—	4	1	no	—
683	C₂×C₄	—	4	2	no	—
684	C₂×C₄	—	4	2	no	—
685	C₂×C₄	—	4	2	no	—
686	C₂×C₄	—	4	2	no	—
687	C₂×C₄	#127×C₃₇	1	2	yes	—
688	C₂×C₄	AGL(1,ℤ/8)×C₃₇	1	4	yes	—
689	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
690	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
691	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
692	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
693	C₂×C₄	H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
694	C₂×C₄	H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
695	C₈	—	2	2	no	—
696	C₈	—	2	2	no	—
697	C₈	—	2	2	no	—
698	C₈	—	2	2	no	—
699	C₂²	—	2	2	no	—
700	C₂²	—	2	2	no	—
701	C₂²	—	2	2	no	—
702	C₂²	—	4	2	no	—
703	C₂²	—	4	2	no	—
704	C₂²	—	4	2	no	—
705	C₂²	—	4	2	no	—
706	C₂²	—	4	4	no	—
707	C₂²	—	4	4	no	—
708	C₂²	—	8	16	no	—
709	C₂²	—	8	1	no	—
710	C₂²	—	8	1	no	—
711	C₂²	—	8	1	no	—
712	C₂²	—	8	1	no	—
713	C₂²	—	8	2	no	—
714	C₂²	—	8	2	no	—
715	C₂²	—	8	1	no	—
716	C₂²	—	8	1	no	—
717	C₂²	—	8	1	no	—
718	C₂²	—	8	1	no	—
719	C₂²	—	8	1	no	—
720	C₂²	—	8	1	no	—
721	C₂²	—	8	2	no	—
722	C₂²	—	8	2	no	—
723	C₂²	—	8	2	no	—
724	C₂²	—	8	2	no	—
725	C₂²	C₂×#127×C₃₇	1	1	yes	characteristic
726	C₂²	C₃₇×#546	1	1	yes	characteristic
727	C₂²	C₃₇×#546	1	1	yes	characteristic
728	C₂²	C₂×AGL(1,ℤ/8)×C₃₇	1	2	yes	—
729	C₂²	C₃₇×#576	1	2	yes	—
730	C₄	—	2	2	no	—
731	C₄	—	2	4	no	—
732	C₄	—	4	2	no	—
733	C₄	—	8	1	no	—
734	C₄	—	8	1	no	—
735	C₄	—	8	1	no	—
736	C₄	—	8	1	no	—
737	C₄	C₃₇×#525	1	1	yes	characteristic
738	C₄	C₃₇×#534	1	1	yes	characteristic
739	C₄	C₃₇×#546	1	1	yes	characteristic
740	C₄	C₃₇×#546	1	1	yes	characteristic
741	C₂	—	4	2	no	—
742	C₂	—	8	2	no	—
743	C₂	—	8	2	no	—
744	C₂	—	16	1	no	—
745	C₂	—	16	1	no	—
746	C₂	C₃₇×#2539	1	1	yes	characteristic
747	C₂	C₃₇×#3151	1	1	yes	characteristic
748	C₂	C₃₇×#3155	1	1	yes	characteristic
749	C₂	C₃₇×#3318	1	2	yes	—
750	C₂	C₃₇×#3325	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₃₇×#482	C₂	semidirect
2. C₂×C₃₇×#469	C₂	semidirect
3. C₂×C₃₇×#447	C₂	semidirect
4. C₂×C₃₇×#418	C₂	semidirect
5. C₃₇×#2500	C₂	semidirect
6. C₃₇×#2433	C₂	semidirect
7. C₃₇×#2094	C₂	semidirect
8. C₃₇×#2092	C₂	semidirect
9. C₃₇×#2011	C₂	semidirect
10. C₃₇×#2011	C₂	semidirect
11. C₃₇×#1972	C₂	semidirect
12. C₃₇×#1970	C₂	semidirect
13. C₃₇×#1961	C₂	semidirect
14. C₃₇×#1957	C₂	semidirect
15. C₃₇×#1753	C₂	semidirect
19. C₂²×D₈×C₃₇	C₂²	semidirect
30. C₂×#107×C₃₇	C₂²	semidirect
31. C₂×#106×C₃₇	C₂²	semidirect
32. C₂×#106×C₃₇	C₂²	semidirect
40. C₂×#102×C₃₇	C₂²	semidirect
41. C₂×#102×C₃₇	C₂²	semidirect
42. C₂×#102×C₃₇	C₂²	semidirect
43. C₂×#102×C₃₇	C₂²	semidirect
45. C₂×#97×C₃₇	C₂²	semidirect
46. C₂×C₄×C₈×C₃₇	C₂²	semidirect
51. C₃₇×#390	C₂²	semidirect
52. C₃₇×#390	C₂²	semidirect
54. C₃₇×#384	C₂²	semidirect
55. C₃₇×#382	C₂²	semidirect
57. C₃₇×#336	C₂²	semidirect
58. C₃₇×#336	C₂²	semidirect
87. C₂×M₁₆×C₃₇	D₄	semidirect
132. C₂²⋊C₈×C₃₇	D₄	semidirect
323. #28353	C₃₇	direct (N × H)
366. C₂×#482	C₂×C₃₇	semidirect
367. C₂×#469	C₂×C₃₇	semidirect
368. C₂×#447	C₂×C₃₇	semidirect
369. C₂×#418	C₂×C₃₇	semidirect
370. #2500	C₂×C₃₇	semidirect
371. #2433	C₂×C₃₇	semidirect
372. #2094	C₂×C₃₇	semidirect
373. #2092	C₂×C₃₇	semidirect
374. #2011	C₂×C₃₇	semidirect
375. #2011	C₂×C₃₇	semidirect
376. #1972	C₂×C₃₇	semidirect
377. #1970	C₂×C₃₇	semidirect
378. #1961	C₂×C₃₇	semidirect
379. #1957	C₂×C₃₇	semidirect
380. #1753	C₂×C₃₇	semidirect
394. C₂²×D₈	C₂²×C₃₇	semidirect
405. C₂×#107	C₂²×C₃₇	semidirect
406. C₂×#106	C₂²×C₃₇	semidirect
407. C₂×#106	C₂²×C₃₇	semidirect
415. C₂×#102	C₂²×C₃₇	semidirect
416. C₂×#102	C₂²×C₃₇	semidirect
417. C₂×#102	C₂²×C₃₇	semidirect
418. C₂×#102	C₂²×C₃₇	semidirect
420. C₂×#97	C₂²×C₃₇	semidirect
421. C₂×C₄×C₈	C₂²×C₃₇	semidirect
426. #390	C₂²×C₃₇	semidirect
427. #390	C₂²×C₃₇	semidirect
429. #384	C₂²×C₃₇	semidirect
430. #382	C₂²×C₃₇	semidirect
432. #336	C₂²×C₃₇	semidirect
433. #336	C₂²×C₃₇	semidirect
434. C₃₇	#28353	direct (N × H)
463. C₂×M₁₆	D₄×C₃₇	semidirect
508. C₂²⋊C₈	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×#482	2
C₂×C₃₇×#469	2
C₂×C₃₇×#447	2
C₂×C₃₇×#418	2
C₃₇×#2500	2
C₃₇×#2433	2
C₃₇×#2094	2
C₃₇×#2092	2
C₃₇×#2011	2
C₃₇×#1972	2
C₃₇×#1970	2
C₃₇×#1961	2
C₃₇×#1957	2
C₃₇×#1753	2
#28353	37

Subgroups — C37×#28353 #22649606

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#28353 #22649606