Subgroups — C₃₇×#61648 #22682901

Order 9472.

2170 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3537	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₇×#3485	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₇×#3322	C₂	1	4	yes	maximal, complemented
4	C₃₇×#3307	C₂	1	4	yes	maximal, complemented
5	C₃₇×#3272	C₂	1	4	yes	maximal, complemented
6	C₃₇×#3264	C₂	1	4	yes	maximal, complemented
7	C₃₇×#3221	C₂	1	2	yes	maximal, complemented
8	C₃₇×#3200	C₂	1	2	yes	maximal, complemented
9	C₃₇×#3194	C₂	1	2	yes	maximal, complemented
10	C₃₇×#3122	C₂	1	2	yes	maximal, complemented
11	C₃₇×#3008	C₂	1	2	yes	maximal, complemented
12	C₃₇×#3006	C₂	1	2	yes	maximal, complemented
13	C₃₇×#2978	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×H(5,𝔽₂)×C₃₇	C₂²	1	1	yes	characteristic, complemented
15	C₂²×#41×C₃₇	C₂²	1	1	yes	characteristic, complemented
16	C₂×AGL(1,ℤ/8)×C₃₇	C₂²	1	4	yes	complemented
17	C₂×AGL(1,ℤ/8)×C₃₇	C₂²	1	2	yes	complemented
18	C₂²×D₈×C₃₇	C₂²	1	2	yes	complemented
19	C₃₇×#560	—	2	2	no	—
20	C₃₇×#553	C₂²	1	4	yes	complemented
21	C₃₇×#547	—	2	2	no	—
22	C₃₇×#547	C₂²	1	4	yes	complemented
23	C₃₇×#546	—	2	2	no	—
24	C₃₇×#546	C₂²	1	4	yes	complemented
25	D₄²×C₃₇	—	2	2	no	—
26	D₄²×C₃₇	C₂²	1	4	yes	complemented
27	C₃₇×#540	C₂²	1	2	yes	complemented
28	C₃₇×#538	—	2	2	no	—
29	C₃₇×#536	C₂²	1	1	yes	characteristic, complemented
30	C₃₇×#536	C₂²	1	1	yes	characteristic, complemented
31	C₃₇×#535	C₂²	1	2	yes	—
32	C₃₇×#534	—	2	2	no	—
33	C₃₇×#534	—	2	2	no	—
34	C₃₇×#525	C₂²	1	1	yes	characteristic
35	C₃₇×#525	C₂²	1	1	yes	characteristic, complemented
36	C₂×#123×C₃₇	—	2	2	no	—
37	C₂×#121×C₃₇	C₂²	1	2	yes	complemented
38	C₃₇×#518	C₂²	1	1	yes	characteristic, complemented
39	C₃₇×#496	C₂²	1	2	yes	complemented
40	C₃₇×#492	C₂²	1	2	yes	complemented
41	C₃₇×#491	C₂²	1	2	yes	complemented
42	C₃₇×#488	C₂²	1	2	yes	complemented
43	C₃₇×#485	C₂²	1	4	yes	complemented
44	C₃₇×#483	C₂²	1	2	yes	complemented
45	C₃₇×#482	C₂²	1	4	yes	complemented
46	C₃₇×#480	C₂²	1	2	yes	complemented
47	C₃₇×#478	C₂²	1	4	yes	complemented
48	C₃₇×#469	C₂²	1	4	yes	complemented
49	C₃₇×#468	C₂²	1	4	yes	complemented
50	C₃₇×#468	C₂²	1	4	yes	complemented
51	C₃₇×#465	C₂²	1	4	yes	complemented
52	C₃₇×#463	C₂²	1	4	yes	complemented
53	C₃₇×#461	C₂²	1	4	yes	complemented
54	C₃₇×#459	C₂²	1	4	yes	complemented
55	C₃₇×#450	C₂²	1	2	yes	complemented
56	C₃₇×#450	C₂²	1	4	yes	complemented
57	C₃₇×#449	C₂²	1	4	yes	complemented
58	C₃₇×#449	C₂²	1	4	yes	complemented
59	C₃₇×#449	C₂²	1	4	yes	complemented
60	C₃₇×#449	C₂²	1	4	yes	complemented
61	C₃₇×#448	C₂²	1	4	yes	complemented
62	C₃₇×#447	C₂²	1	4	yes	complemented
63	C₃₇×#447	C₂²	1	2	yes	complemented
64	C₃₇×#447	C₂²	1	4	yes	complemented
65	C₃₇×#442	C₂²	1	4	yes	complemented
66	C₄×D₈×C₃₇	C₂²	1	4	yes	complemented
67	C₃₇×#436	C₂²	1	4	yes	complemented
68	C₃₇×#435	C₂²	1	4	yes	complemented
69	C₃₇×#433	C₂²	1	2	yes	complemented
70	C₃₇×#418	C₂²	1	2	yes	complemented
71	C₃₇×#417	C₂²	1	4	yes	complemented
72	C₃₇×#416	C₂²	1	2	yes	complemented
73	C₃₇×#408	C₂²	1	2	yes	complemented
74	C₃₇×#407	C₂²	1	2	yes	complemented
75	H(5,𝔽₂)×C₃₇	—	4	4	no	—
76	C₂×#41×C₃₇	—	2	1	no	—
77	C₂×#41×C₃₇	—	2	2	no	—
78	C₂×#41×C₃₇	—	4	4	no	—
79	C₂×#41×C₃₇	C₂³	1	4	yes	—
80	C₂×#41×C₃₇	C₂³	1	2	yes	—
81	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
82	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
83	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
84	C₂²×D₄×C₃₇	—	2	1	no	—
85	C₂²×D₄×C₃₇	—	2	2	no	—
86	C₂²×D₄×C₃₇	—	2	2	no	—
87	C₂²×D₄×C₃₇	—	2	1	no	—
88	C₂²×D₄×C₃₇	—	2	4	no	—
89	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
90	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
91	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
92	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
93	C₂³×C₄×C₃₇	—	2	1	no	—
94	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
95	AGL(1,ℤ/8)×C₃₇	—	4	8	no	—
96	AGL(1,ℤ/8)×C₃₇	—	4	4	no	—
97	C₂×SD₁₆×C₃₇	C₂³	1	4	yes	—
98	C₂×SD₁₆×C₃₇	C₂³	1	4	yes	—
99	C₂×SD₁₆×C₃₇	C₂³	1	4	yes	—
100	C₂×D₈×C₃₇	—	4	4	no	—
101	C₂×D₈×C₃₇	C₂³	1	4	yes	—
102	C₂×D₈×C₃₇	C₂³	1	4	yes	—
103	C₂×D₈×C₃₇	C₂³	1	4	yes	—
104	C₂×M₁₆×C₃₇	C₂³	1	4	yes	—
105	C₂×M₁₆×C₃₇	C₂³	1	2	yes	—
106	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
107	C₄⋊Q₈×C₃₇	—	2	1	no	—
108	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
109	#127×C₃₇	—	2	2	no	—
110	#127×C₃₇	C₂³	1	2	yes	—
111	#126×C₃₇	—	2	4	no	—
112	#125×C₃₇	C₂³	1	2	yes	—
113	#124×C₃₇	—	2	2	no	—
114	#124×C₃₇	—	2	1	no	—
115	#124×C₃₇	C₂³	1	2	yes	—
116	#123×C₃₇	—	2	2	no	—
117	#123×C₃₇	—	2	1	no	—
118	#123×C₃₇	—	2	4	no	—
119	#123×C₃₇	—	2	4	no	—
120	#123×C₃₇	—	2	2	no	—
121	#123×C₃₇	—	2	4	no	—
122	#123×C₃₇	—	2	4	no	—
123	#123×C₃₇	—	2	4	no	—
124	#123×C₃₇	D₄	1	2	yes	—
125	C₂²⋊Q₈×C₃₇	—	2	2	no	—
126	C₂²⋊Q₈×C₃₇	D₄	1	2	yes	—
127	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
128	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
129	#121×C₃₇	—	2	4	no	—
130	#121×C₃₇	—	2	4	no	—
131	#121×C₃₇	—	2	2	no	—
132	#121×C₃₇	—	2	2	no	—
133	#121×C₃₇	—	2	4	no	—
134	#121×C₃₇	—	2	4	no	—
135	#121×C₃₇	—	2	4	no	—
136	#121×C₃₇	D₄	1	2	yes	—
137	#121×C₃₇	C₂³	1	4	yes	—
138	#121×C₃₇	C₂³	1	4	yes	—
139	#121×C₃₇	C₂³	1	2	yes	—
140	#121×C₃₇	C₂³	1	4	yes	—
141	#120×C₃₇	—	2	1	no	—
142	#120×C₃₇	—	2	2	no	—
143	#120×C₃₇	—	2	4	no	—
144	#120×C₃₇	—	2	2	no	—
145	#120×C₃₇	—	2	4	no	—
146	#120×C₃₇	—	2	4	no	—
147	#120×C₃₇	D₄	1	2	yes	—
148	C₄×D₄×C₃₇	—	2	2	no	—
149	C₄×D₄×C₃₇	—	2	2	no	—
150	C₄×D₄×C₃₇	—	2	4	no	—
151	C₄×D₄×C₃₇	C₂³	1	4	yes	—
152	C₄×D₄×C₃₇	C₂³	1	4	yes	—
153	C₄×D₄×C₃₇	C₂³	1	4	yes	—
154	#117×C₃₇	C₂³	1	1	yes	characteristic
155	#117×C₃₇	C₂³	1	2	yes	—
156	#117×C₃₇	C₂³	1	1	yes	characteristic
157	C₂×C₄⋊C₄×C₃₇	—	2	4	no	—
158	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
159	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
160	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
161	C₂×C₂²⋊C₄×C₃₇	—	2	4	no	—
162	#107×C₃₇	C₂³	1	4	yes	—
163	#106×C₃₇	C₂³	1	4	yes	—
164	C₄⋊C₈×C₃₇	C₂³	1	4	yes	—
165	#103×C₃₇	C₂³	1	4	yes	—
166	#103×C₃₇	C₂³	1	4	yes	—
167	#103×C₃₇	C₂³	1	4	yes	—
168	#102×C₃₇	C₂³	1	4	yes	—
169	#102×C₃₇	C₂³	1	4	yes	—
170	#102×C₃₇	C₂³	1	4	yes	—
171	#102×C₃₇	C₂³	1	4	yes	—
172	#102×C₃₇	C₂³	1	4	yes	—
173	C₂²⋊C₈×C₃₇	C₂³	1	4	yes	—
174	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
175	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
176	C₂²⋊C₈×C₃₇	C₂³	1	4	yes	—
177	#97×C₃₇	C₂³	1	2	yes	—
178	C₄×C₈×C₃₇	C₂³	1	2	yes	—
179	C₂⁴×C₃₇	—	2	1	no	—
180	C₂⁴×C₃₇	—	2	2	no	—
181	C₂⁴×C₃₇	—	2	2	no	—
182	C₂⁴×C₃₇	—	2	2	no	—
183	C₂⁴×C₃₇	C₂×D₄	1	1	yes	characteristic
184	#41×C₃₇	—	2	8	no	—
185	#41×C₃₇	—	2	4	no	—
186	#41×C₃₇	—	4	2	no	—
187	#41×C₃₇	—	4	4	no	—
188	#41×C₃₇	—	4	2	no	—
189	#41×C₃₇	—	4	2	no	—
190	#41×C₃₇	—	4	8	no	—
191	#41×C₃₇	—	4	4	no	—
192	C₂×Q₈×C₃₇	—	2	1	no	—
193	C₂×Q₈×C₃₇	—	4	2	no	—
194	C₂×Q₈×C₃₇	C₂×D₄	1	1	yes	characteristic
195	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
196	C₂×Q₈×C₃₇	C₂⁴	1	1	yes	characteristic
197	C₂×D₄×C₃₇	—	2	4	no	—
198	C₂×D₄×C₃₇	—	2	4	no	—
199	C₂×D₄×C₃₇	—	2	4	no	—
200	C₂×D₄×C₃₇	—	2	4	no	—
201	C₂×D₄×C₃₇	—	2	1	no	—
202	C₂×D₄×C₃₇	—	2	2	no	—
203	C₂×D₄×C₃₇	—	2	2	no	—
204	C₂×D₄×C₃₇	—	2	4	no	—
205	C₂×D₄×C₃₇	—	2	4	no	—
206	C₂×D₄×C₃₇	—	2	1	no	—
207	C₂×D₄×C₃₇	—	2	2	no	—
208	C₂×D₄×C₃₇	—	2	2	no	—
209	C₂×D₄×C₃₇	—	2	4	no	—
210	C₂×D₄×C₃₇	—	2	2	no	—
211	C₂×D₄×C₃₇	—	4	2	no	—
212	C₂×D₄×C₃₇	—	4	2	no	—
213	C₂×D₄×C₃₇	—	4	4	no	—
214	C₂×D₄×C₃₇	—	4	2	no	—
215	C₂×D₄×C₃₇	—	4	4	no	—
216	C₂×D₄×C₃₇	—	4	4	no	—
217	C₂×D₄×C₃₇	—	4	8	no	—
218	C₂×D₄×C₃₇	—	8	8	no	—
219	C₂×D₄×C₃₇	—	8	4	no	—
220	C₂×D₄×C₃₇	C₂×D₄	1	4	yes	—
221	C₂×D₄×C₃₇	C₂×D₄	1	1	yes	characteristic
222	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
223	C₂×D₄×C₃₇	C₂⁴	1	1	yes	characteristic
224	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
225	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
226	C₂²×C₄×C₃₇	—	2	1	no	—
227	C₂²×C₄×C₃₇	—	2	2	no	—
228	C₂²×C₄×C₃₇	—	2	4	no	—
229	C₂²×C₄×C₃₇	—	2	2	no	—
230	C₂²×C₄×C₃₇	—	2	1	no	—
231	C₂²×C₄×C₃₇	—	2	4	no	—
232	C₂²×C₄×C₃₇	—	2	4	no	—
233	C₂²×C₄×C₃₇	—	4	2	no	—
234	C₂²×C₄×C₃₇	—	4	4	no	—
235	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
236	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
237	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
238	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
239	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
240	SD₁₆×C₃₇	—	4	4	no	—
241	SD₁₆×C₃₇	—	4	4	no	—
242	SD₁₆×C₃₇	—	4	4	no	—
243	D₈×C₃₇	—	2	8	no	—
244	D₈×C₃₇	—	2	8	no	—
245	D₈×C₃₇	—	4	4	no	—
246	M₁₆×C₃₇	—	4	4	no	—
247	M₁₆×C₃₇	—	4	2	no	—
248	C₂×C₈×C₃₇	—	4	2	no	—
249	C₂×C₈×C₃₇	C₂⁴	1	4	yes	—
250	C₂×C₈×C₃₇	C₂⁴	1	4	yes	—
251	C₄⋊C₄×C₃₇	—	2	2	no	—
252	C₄⋊C₄×C₃₇	—	2	4	no	—
253	C₄⋊C₄×C₃₇	—	2	4	no	—
254	C₄⋊C₄×C₃₇	—	2	2	no	—
255	C₄⋊C₄×C₃₇	—	2	4	no	—
256	C₄⋊C₄×C₃₇	C₂×D₄	1	4	yes	—
257	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
258	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
259	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
260	C₂²⋊C₄×C₃₇	—	2	1	no	—
261	C₂²⋊C₄×C₃₇	—	2	4	no	—
262	C₂²⋊C₄×C₃₇	—	2	2	no	—
263	C₂²⋊C₄×C₃₇	—	2	2	no	—
264	C₂²⋊C₄×C₃₇	—	2	2	no	—
265	C₂²⋊C₄×C₃₇	—	2	4	no	—
266	C₂²⋊C₄×C₃₇	—	2	4	no	—
267	C₂²⋊C₄×C₃₇	—	2	4	no	—
268	C₂²⋊C₄×C₃₇	—	2	4	no	—
269	C₂²⋊C₄×C₃₇	—	2	4	no	—
270	C₂²⋊C₄×C₃₇	—	2	4	no	—
271	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
272	C₂²⋊C₄×C₃₇	C₂×D₄	1	4	yes	—
273	C₂²⋊C₄×C₃₇	C₂×D₄	1	4	yes	—
274	C₄²×C₃₇	—	2	1	no	—
275	C₄²×C₃₇	—	2	2	no	—
276	C₄²×C₃₇	C₂⁴	1	2	yes	—
277	C₂³×C₃₇	—	2	4	no	—
278	C₂³×C₃₇	—	2	2	no	—
279	C₂³×C₃₇	—	2	1	no	—
280	C₂³×C₃₇	—	2	4	no	—
281	C₂³×C₃₇	—	4	1	no	—
282	C₂³×C₃₇	—	4	2	no	—
283	C₂³×C₃₇	—	4	4	no	—
284	C₂³×C₃₇	—	4	4	no	—
285	C₂³×C₃₇	—	8	2	no	—
286	C₂³×C₃₇	—	8	2	no	—
287	C₂³×C₃₇	—	8	2	no	—
288	C₂³×C₃₇	—	8	2	no	—
289	C₂³×C₃₇	—	8	4	no	—
290	C₂³×C₃₇	—	8	4	no	—
291	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
292	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
293	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
294	Q₈×C₃₇	—	2	4	no	—
295	Q₈×C₃₇	—	2	2	no	—
296	Q₈×C₃₇	—	4	1	no	—
297	Q₈×C₃₇	—	4	2	no	—
298	D₄×C₃₇	—	2	4	no	—
299	D₄×C₃₇	—	2	2	no	—
300	D₄×C₃₇	—	2	4	no	—
301	D₄×C₃₇	—	2	4	no	—
302	D₄×C₃₇	—	2	2	no	—
303	D₄×C₃₇	—	4	1	no	—
304	D₄×C₃₇	—	4	2	no	—
305	D₄×C₃₇	—	4	4	no	—
306	D₄×C₃₇	—	4	4	no	—
307	D₄×C₃₇	—	4	4	no	—
308	D₄×C₃₇	—	4	8	no	—
309	D₄×C₃₇	—	4	2	no	—
310	D₄×C₃₇	—	4	8	no	—
311	D₄×C₃₇	—	8	2	no	—
312	D₄×C₃₇	—	8	2	no	—
313	D₄×C₃₇	—	8	4	no	—
314	D₄×C₃₇	—	8	2	no	—
315	D₄×C₃₇	—	8	4	no	—
316	D₄×C₃₇	—	8	4	no	—
317	D₄×C₃₇	H(5,𝔽₂)	1	4	yes	—
318	C₂×C₄×C₃₇	—	2	2	no	—
319	C₂×C₄×C₃₇	—	2	4	no	—
320	C₂×C₄×C₃₇	—	2	2	no	—
321	C₂×C₄×C₃₇	—	2	2	no	—
322	C₂×C₄×C₃₇	—	2	2	no	—
323	C₂×C₄×C₃₇	—	2	4	no	—
324	C₂×C₄×C₃₇	—	2	2	no	—
325	C₂×C₄×C₃₇	—	2	1	no	—
326	C₂×C₄×C₃₇	—	4	1	no	—
327	C₂×C₄×C₃₇	—	4	2	no	—
328	C₂×C₄×C₃₇	—	4	8	no	—
329	C₂×C₄×C₃₇	—	4	4	no	—
330	C₂×C₄×C₃₇	—	4	2	no	—
331	C₂×C₄×C₃₇	—	4	2	no	—
332	C₂×C₄×C₃₇	—	8	4	no	—
333	C₂×C₄×C₃₇	—	8	4	no	—
334	C₂×C₄×C₃₇	—	8	2	no	—
335	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
336	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
337	C₂×C₄×C₃₇	C₂²×D₄	1	4	yes	—
338	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
339	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
340	C₈×C₃₇	—	2	4	no	—
341	C₈×C₃₇	—	2	4	no	—
342	#61648	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂²×C₃₇	—	2	2	no	—
344	C₂²×C₃₇	—	2	2	no	—
345	C₂²×C₃₇	—	2	4	no	—
346	C₂²×C₃₇	—	2	2	no	—
347	C₂²×C₃₇	—	2	1	no	—
348	C₂²×C₃₇	—	2	2	no	—
349	C₂²×C₃₇	—	2	2	no	—
350	C₂²×C₃₇	—	2	4	no	—
351	C₂²×C₃₇	—	4	4	no	—
352	C₂²×C₃₇	—	4	4	no	—
353	C₂²×C₃₇	—	4	4	no	—
354	C₂²×C₃₇	—	4	2	no	—
355	C₂²×C₃₇	—	4	1	no	—
356	C₂²×C₃₇	—	4	4	no	—
357	C₂²×C₃₇	—	8	4	no	—
358	C₂²×C₃₇	—	8	2	no	—
359	C₂²×C₃₇	—	16	4	no	—
360	C₂²×C₃₇	—	16	4	no	—
361	C₂²×C₃₇	—	16	4	no	—
362	C₂²×C₃₇	C₂³×D₄	1	1	yes	characteristic
363	C₄×C₃₇	—	2	4	no	—
364	C₄×C₃₇	—	2	2	no	—
365	C₄×C₃₇	—	2	1	no	—
366	C₄×C₃₇	—	2	2	no	—
367	C₄×C₃₇	—	4	4	no	—
368	C₄×C₃₇	—	4	2	no	—
369	C₄×C₃₇	—	4	1	no	—
370	C₄×C₃₇	—	4	2	no	—
371	C₄×C₃₇	C₂×H(5,𝔽₂)	1	2	yes	—
372	#3537	C₂×C₃₇	1	1	yes	characteristic, complemented
373	#3485	C₂×C₃₇	1	1	yes	characteristic, complemented
374	#3322	C₂×C₃₇	1	4	yes	complemented
375	#3307	C₂×C₃₇	1	4	yes	complemented
376	#3272	C₂×C₃₇	1	4	yes	complemented
377	#3264	C₂×C₃₇	1	4	yes	complemented
378	#3221	C₂×C₃₇	1	2	yes	complemented
379	#3200	C₂×C₃₇	1	2	yes	complemented
380	#3194	C₂×C₃₇	1	2	yes	complemented
381	#3122	C₂×C₃₇	1	2	yes	complemented
382	#3008	C₂×C₃₇	1	2	yes	complemented
383	#3006	C₂×C₃₇	1	2	yes	complemented
384	#2978	C₂×C₃₇	1	1	yes	characteristic, complemented
385	C₂×C₃₇	—	4	1	no	—
386	C₂×C₃₇	—	4	2	no	—
387	C₂×C₃₇	—	4	2	no	—
388	C₂×C₃₇	—	4	4	no	—
389	C₂×C₃₇	—	8	4	no	—
390	C₂×C₃₇	—	8	1	no	—
391	C₂×C₃₇	#3484	1	1	yes	characteristic
392	C₂×C₃₇	#3585	1	2	yes	—
393	C₂×H(5,𝔽₂)	C₂²×C₃₇	1	1	yes	characteristic, complemented
394	C₂²×#41	C₂²×C₃₇	1	1	yes	characteristic, complemented
395	C₂×AGL(1,ℤ/8)	C₂²×C₃₇	1	4	yes	complemented
396	C₂×AGL(1,ℤ/8)	C₂²×C₃₇	1	2	yes	complemented
397	C₂²×D₈	C₂²×C₃₇	1	2	yes	complemented
398	#560	—	2	2	no	—
399	#553	C₂²×C₃₇	1	4	yes	complemented
400	#547	—	2	2	no	—
401	#547	C₂²×C₃₇	1	4	yes	complemented
402	#546	—	2	2	no	—
403	#546	C₂²×C₃₇	1	4	yes	complemented
404	D₄²	—	2	2	no	—
405	D₄²	C₂²×C₃₇	1	4	yes	complemented
406	#540	C₂²×C₃₇	1	2	yes	complemented
407	#538	—	2	2	no	—
408	#536	C₂²×C₃₇	1	1	yes	characteristic, complemented
409	#536	C₂²×C₃₇	1	1	yes	characteristic, complemented
410	#535	C₂²×C₃₇	1	2	yes	—
411	#534	—	2	2	no	—
412	#534	—	2	2	no	—
413	#525	C₂²×C₃₇	1	1	yes	characteristic
414	#525	C₂²×C₃₇	1	1	yes	characteristic, complemented
415	C₂×#123	—	2	2	no	—
416	C₂×#121	C₂²×C₃₇	1	2	yes	complemented
417	#518	C₂²×C₃₇	1	1	yes	characteristic, complemented
418	#496	C₂²×C₃₇	1	2	yes	complemented
419	#492	C₂²×C₃₇	1	2	yes	complemented
420	#491	C₂²×C₃₇	1	2	yes	complemented
421	#488	C₂²×C₃₇	1	2	yes	complemented
422	#485	C₂²×C₃₇	1	4	yes	complemented
423	#483	C₂²×C₃₇	1	2	yes	complemented
424	#482	C₂²×C₃₇	1	4	yes	complemented
425	#480	C₂²×C₃₇	1	2	yes	complemented
426	#478	C₂²×C₃₇	1	4	yes	complemented
427	#469	C₂²×C₃₇	1	4	yes	complemented
428	#468	C₂²×C₃₇	1	4	yes	complemented
429	#468	C₂²×C₃₇	1	4	yes	complemented
430	#465	C₂²×C₃₇	1	4	yes	complemented
431	#463	C₂²×C₃₇	1	4	yes	complemented
432	#461	C₂²×C₃₇	1	4	yes	complemented
433	#459	C₂²×C₃₇	1	4	yes	complemented
434	#450	C₂²×C₃₇	1	2	yes	complemented
435	#450	C₂²×C₃₇	1	4	yes	complemented
436	#449	C₂²×C₃₇	1	4	yes	complemented
437	#449	C₂²×C₃₇	1	4	yes	complemented
438	#449	C₂²×C₃₇	1	4	yes	complemented
439	#449	C₂²×C₃₇	1	4	yes	complemented
440	#448	C₂²×C₃₇	1	4	yes	complemented
441	#447	C₂²×C₃₇	1	4	yes	complemented
442	#447	C₂²×C₃₇	1	2	yes	complemented
443	#447	C₂²×C₃₇	1	4	yes	complemented
444	#442	C₂²×C₃₇	1	4	yes	complemented
445	C₄×D₈	C₂²×C₃₇	1	4	yes	complemented
446	#436	C₂²×C₃₇	1	4	yes	complemented
447	#435	C₂²×C₃₇	1	4	yes	complemented
448	#433	C₂²×C₃₇	1	2	yes	complemented
449	#418	C₂²×C₃₇	1	2	yes	complemented
450	#417	C₂²×C₃₇	1	4	yes	complemented
451	#416	C₂²×C₃₇	1	2	yes	complemented
452	#408	C₂²×C₃₇	1	2	yes	complemented
453	#407	C₂²×C₃₇	1	2	yes	complemented
454	C₃₇	#61648	1	1	yes	characteristic, direct product factor, Sylow
455	H(5,𝔽₂)	—	4	4	no	—
456	C₂×#41	—	2	1	no	—
457	C₂×#41	—	2	2	no	—
458	C₂×#41	—	4	4	no	—
459	C₂×#41	C₂³×C₃₇	1	4	yes	—
460	C₂×#41	C₂³×C₃₇	1	2	yes	—
461	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
462	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
463	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
464	C₂²×D₄	—	2	1	no	—
465	C₂²×D₄	—	2	2	no	—
466	C₂²×D₄	—	2	2	no	—
467	C₂²×D₄	—	2	1	no	—
468	C₂²×D₄	—	2	4	no	—
469	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
470	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
471	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
472	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
473	C₂³×C₄	—	2	1	no	—
474	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
475	AGL(1,ℤ/8)	—	4	8	no	—
476	AGL(1,ℤ/8)	—	4	4	no	—
477	C₂×SD₁₆	C₂³×C₃₇	1	4	yes	—
478	C₂×SD₁₆	C₂³×C₃₇	1	4	yes	—
479	C₂×SD₁₆	C₂³×C₃₇	1	4	yes	—
480	C₂×D₈	—	4	4	no	—
481	C₂×D₈	C₂³×C₃₇	1	4	yes	—
482	C₂×D₈	C₂³×C₃₇	1	4	yes	—
483	C₂×D₈	C₂³×C₃₇	1	4	yes	—
484	C₂×M₁₆	C₂³×C₃₇	1	4	yes	—
485	C₂×M₁₆	C₂³×C₃₇	1	2	yes	—
486	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
487	C₄⋊Q₈	—	2	1	no	—
488	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
489	#127	—	2	2	no	—
490	#127	C₂³×C₃₇	1	2	yes	—
491	#126	—	2	4	no	—
492	#125	C₂³×C₃₇	1	2	yes	—
493	#124	—	2	2	no	—
494	#124	—	2	1	no	—
495	#124	C₂³×C₃₇	1	2	yes	—
496	#123	—	2	2	no	—
497	#123	—	2	1	no	—
498	#123	—	2	4	no	—
499	#123	—	2	4	no	—
500	#123	—	2	2	no	—
501	#123	—	2	4	no	—
502	#123	—	2	4	no	—
503	#123	—	2	4	no	—
504	#123	D₄×C₃₇	1	2	yes	—
505	C₂²⋊Q₈	—	2	2	no	—
506	C₂²⋊Q₈	D₄×C₃₇	1	2	yes	—
507	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
508	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
509	#121	—	2	4	no	—
510	#121	—	2	4	no	—
511	#121	—	2	2	no	—
512	#121	—	2	2	no	—
513	#121	—	2	4	no	—
514	#121	—	2	4	no	—
515	#121	—	2	4	no	—
516	#121	D₄×C₃₇	1	2	yes	—
517	#121	C₂³×C₃₇	1	4	yes	—
518	#121	C₂³×C₃₇	1	4	yes	—
519	#121	C₂³×C₃₇	1	2	yes	—
520	#121	C₂³×C₃₇	1	4	yes	—
521	#120	—	2	1	no	—
522	#120	—	2	2	no	—
523	#120	—	2	4	no	—
524	#120	—	2	2	no	—
525	#120	—	2	4	no	—
526	#120	—	2	4	no	—
527	#120	D₄×C₃₇	1	2	yes	—
528	C₄×D₄	—	2	2	no	—
529	C₄×D₄	—	2	2	no	—
530	C₄×D₄	—	2	4	no	—
531	C₄×D₄	C₂³×C₃₇	1	4	yes	—
532	C₄×D₄	C₂³×C₃₇	1	4	yes	—
533	C₄×D₄	C₂³×C₃₇	1	4	yes	—
534	#117	C₂³×C₃₇	1	1	yes	characteristic
535	#117	C₂³×C₃₇	1	2	yes	—
536	#117	C₂³×C₃₇	1	1	yes	characteristic
537	C₂×C₄⋊C₄	—	2	4	no	—
538	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
539	C₂×C₂²⋊C₄	—	2	2	no	—
540	C₂×C₂²⋊C₄	—	2	2	no	—
541	C₂×C₂²⋊C₄	—	2	4	no	—
542	#107	C₂³×C₃₇	1	4	yes	—
543	#106	C₂³×C₃₇	1	4	yes	—
544	C₄⋊C₈	C₂³×C₃₇	1	4	yes	—
545	#103	C₂³×C₃₇	1	4	yes	—
546	#103	C₂³×C₃₇	1	4	yes	—
547	#103	C₂³×C₃₇	1	4	yes	—
548	#102	C₂³×C₃₇	1	4	yes	—
549	#102	C₂³×C₃₇	1	4	yes	—
550	#102	C₂³×C₃₇	1	4	yes	—
551	#102	C₂³×C₃₇	1	4	yes	—
552	#102	C₂³×C₃₇	1	4	yes	—
553	C₂²⋊C₈	C₂³×C₃₇	1	4	yes	—
554	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
555	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
556	C₂²⋊C₈	C₂³×C₃₇	1	4	yes	—
557	#97	C₂³×C₃₇	1	2	yes	—
558	C₄×C₈	C₂³×C₃₇	1	2	yes	—
559	C₂⁴	—	2	1	no	—
560	C₂⁴	—	2	2	no	—
561	C₂⁴	—	2	2	no	—
562	C₂⁴	—	2	2	no	—
563	C₂⁴	C₂×D₄×C₃₇	1	1	yes	characteristic
564	#41	—	2	8	no	—
565	#41	—	2	4	no	—
566	#41	—	4	2	no	—
567	#41	—	4	4	no	—
568	#41	—	4	2	no	—
569	#41	—	4	2	no	—
570	#41	—	4	8	no	—
571	#41	—	4	4	no	—
572	C₂×Q₈	—	2	1	no	—
573	C₂×Q₈	—	4	2	no	—
574	C₂×Q₈	C₂×D₄×C₃₇	1	1	yes	characteristic
575	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
576	C₂×Q₈	C₂⁴×C₃₇	1	1	yes	characteristic
577	C₂×D₄	—	2	4	no	—
578	C₂×D₄	—	2	4	no	—
579	C₂×D₄	—	2	4	no	—
580	C₂×D₄	—	2	4	no	—
581	C₂×D₄	—	2	1	no	—
582	C₂×D₄	—	2	2	no	—
583	C₂×D₄	—	2	2	no	—
584	C₂×D₄	—	2	4	no	—
585	C₂×D₄	—	2	4	no	—
586	C₂×D₄	—	2	1	no	—
587	C₂×D₄	—	2	2	no	—
588	C₂×D₄	—	2	2	no	—
589	C₂×D₄	—	2	4	no	—
590	C₂×D₄	—	2	2	no	—
591	C₂×D₄	—	4	2	no	—
592	C₂×D₄	—	4	2	no	—
593	C₂×D₄	—	4	4	no	—
594	C₂×D₄	—	4	2	no	—
595	C₂×D₄	—	4	4	no	—
596	C₂×D₄	—	4	4	no	—
597	C₂×D₄	—	4	8	no	—
598	C₂×D₄	—	8	8	no	—
599	C₂×D₄	—	8	4	no	—
600	C₂×D₄	C₂×D₄×C₃₇	1	4	yes	—
601	C₂×D₄	C₂×D₄×C₃₇	1	1	yes	characteristic
602	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
603	C₂×D₄	C₂⁴×C₃₇	1	1	yes	characteristic
604	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
605	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
606	C₂²×C₄	—	2	1	no	—
607	C₂²×C₄	—	2	2	no	—
608	C₂²×C₄	—	2	4	no	—
609	C₂²×C₄	—	2	2	no	—
610	C₂²×C₄	—	2	1	no	—
611	C₂²×C₄	—	2	4	no	—
612	C₂²×C₄	—	2	4	no	—
613	C₂²×C₄	—	4	2	no	—
614	C₂²×C₄	—	4	4	no	—
615	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
616	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
617	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
618	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
619	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
620	SD₁₆	—	4	4	no	—
621	SD₁₆	—	4	4	no	—
622	SD₁₆	—	4	4	no	—
623	D₈	—	2	8	no	—
624	D₈	—	2	8	no	—
625	D₈	—	4	4	no	—
626	M₁₆	—	4	4	no	—
627	M₁₆	—	4	2	no	—
628	C₂×C₈	—	4	2	no	—
629	C₂×C₈	C₂⁴×C₃₇	1	4	yes	—
630	C₂×C₈	C₂⁴×C₃₇	1	4	yes	—
631	C₄⋊C₄	—	2	2	no	—
632	C₄⋊C₄	—	2	4	no	—
633	C₄⋊C₄	—	2	4	no	—
634	C₄⋊C₄	—	2	2	no	—
635	C₄⋊C₄	—	2	4	no	—
636	C₄⋊C₄	C₂×D₄×C₃₇	1	4	yes	—
637	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
638	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
639	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
640	C₂²⋊C₄	—	2	1	no	—
641	C₂²⋊C₄	—	2	4	no	—
642	C₂²⋊C₄	—	2	2	no	—
643	C₂²⋊C₄	—	2	2	no	—
644	C₂²⋊C₄	—	2	2	no	—
645	C₂²⋊C₄	—	2	4	no	—
646	C₂²⋊C₄	—	2	4	no	—
647	C₂²⋊C₄	—	2	4	no	—
648	C₂²⋊C₄	—	2	4	no	—
649	C₂²⋊C₄	—	2	4	no	—
650	C₂²⋊C₄	—	2	4	no	—
651	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
652	C₂²⋊C₄	C₂×D₄×C₃₇	1	4	yes	—
653	C₂²⋊C₄	C₂×D₄×C₃₇	1	4	yes	—
654	C₄²	—	2	1	no	—
655	C₄²	—	2	2	no	—
656	C₄²	C₂⁴×C₃₇	1	2	yes	—
657	C₂³	—	2	4	no	—
658	C₂³	—	2	2	no	—
659	C₂³	—	2	1	no	—
660	C₂³	—	2	4	no	—
661	C₂³	—	4	1	no	—
662	C₂³	—	4	2	no	—
663	C₂³	—	4	4	no	—
664	C₂³	—	4	4	no	—
665	C₂³	—	8	2	no	—
666	C₂³	—	8	2	no	—
667	C₂³	—	8	2	no	—
668	C₂³	—	8	2	no	—
669	C₂³	—	8	4	no	—
670	C₂³	—	8	4	no	—
671	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
672	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
673	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
674	Q₈	—	2	4	no	—
675	Q₈	—	2	2	no	—
676	Q₈	—	4	1	no	—
677	Q₈	—	4	2	no	—
678	D₄	—	2	4	no	—
679	D₄	—	2	2	no	—
680	D₄	—	2	4	no	—
681	D₄	—	2	4	no	—
682	D₄	—	2	2	no	—
683	D₄	—	4	1	no	—
684	D₄	—	4	2	no	—
685	D₄	—	4	4	no	—
686	D₄	—	4	4	no	—
687	D₄	—	4	4	no	—
688	D₄	—	4	8	no	—
689	D₄	—	4	2	no	—
690	D₄	—	4	8	no	—
691	D₄	—	8	2	no	—
692	D₄	—	8	2	no	—
693	D₄	—	8	4	no	—
694	D₄	—	8	4	no	—
695	D₄	—	8	4	no	—
696	D₄	—	8	2	no	—
697	D₄	H(5,𝔽₂)×C₃₇	1	4	yes	—
698	C₂×C₄	—	2	2	no	—
699	C₂×C₄	—	2	4	no	—
700	C₂×C₄	—	2	2	no	—
701	C₂×C₄	—	2	2	no	—
702	C₂×C₄	—	2	2	no	—
703	C₂×C₄	—	2	4	no	—
704	C₂×C₄	—	2	2	no	—
705	C₂×C₄	—	2	1	no	—
706	C₂×C₄	—	4	1	no	—
707	C₂×C₄	—	4	2	no	—
708	C₂×C₄	—	4	8	no	—
709	C₂×C₄	—	4	4	no	—
710	C₂×C₄	—	4	2	no	—
711	C₂×C₄	—	4	2	no	—
712	C₂×C₄	—	8	4	no	—
713	C₂×C₄	—	8	4	no	—
714	C₂×C₄	—	8	2	no	—
715	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
716	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
717	C₂×C₄	C₂²×D₄×C₃₇	1	4	yes	—
718	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
719	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
720	C₈	—	2	4	no	—
721	C₈	—	2	4	no	—
722	C₂²	—	2	1	no	—
723	C₂²	—	2	2	no	—
724	C₂²	—	2	2	no	—
725	C₂²	—	2	4	no	—
726	C₂²	—	2	2	no	—
727	C₂²	—	2	2	no	—
728	C₂²	—	2	4	no	—
729	C₂²	—	2	2	no	—
730	C₂²	—	4	4	no	—
731	C₂²	—	4	1	no	—
732	C₂²	—	4	4	no	—
733	C₂²	—	4	4	no	—
734	C₂²	—	4	4	no	—
735	C₂²	—	4	2	no	—
736	C₂²	—	8	4	no	—
737	C₂²	—	8	2	no	—
738	C₂²	—	16	4	no	—
739	C₂²	—	16	4	no	—
740	C₂²	—	16	4	no	—
741	C₂²	C₂³×D₄×C₃₇	1	1	yes	characteristic
742	C₄	—	2	2	no	—
743	C₄	—	2	1	no	—
744	C₄	—	2	2	no	—
745	C₄	—	2	4	no	—
746	C₄	—	4	1	no	—
747	C₄	—	4	2	no	—
748	C₄	—	4	4	no	—
749	C₄	—	4	2	no	—
750	C₄	C₂×H(5,𝔽₂)×C₃₇	1	2	yes	—
751	C₂	—	4	1	no	—
752	C₂	—	4	2	no	—
753	C₂	—	4	2	no	—
754	C₂	—	4	4	no	—
755	C₂	—	8	1	no	—
756	C₂	—	8	4	no	—
757	C₂	C₃₇×#3484	1	1	yes	characteristic
758	C₂	C₃₇×#3585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₃₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₇ ◁ C₃₇×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₇×#3537	C₂	semidirect
2. C₃₇×#3485	C₂	semidirect
3. C₃₇×#3322	C₂	semidirect
4. C₃₇×#3307	C₂	semidirect
5. C₃₇×#3272	C₂	semidirect
6. C₃₇×#3264	C₂	semidirect
7. C₃₇×#3221	C₂	semidirect
8. C₃₇×#3200	C₂	semidirect
9. C₃₇×#3194	C₂	semidirect
10. C₃₇×#3122	C₂	semidirect
11. C₃₇×#3008	C₂	semidirect
12. C₃₇×#3006	C₂	semidirect
13. C₃₇×#2978	C₂	semidirect
14. C₂×H(5,𝔽₂)×C₃₇	C₂²	semidirect
15. C₂²×#41×C₃₇	C₂²	semidirect
16. C₂×AGL(1,ℤ/8)×C₃₇	C₂²	semidirect
17. C₂×AGL(1,ℤ/8)×C₃₇	C₂²	semidirect
18. C₂²×D₈×C₃₇	C₂²	semidirect
20. C₃₇×#553	C₂²	semidirect
22. C₃₇×#547	C₂²	semidirect
24. C₃₇×#546	C₂²	semidirect
26. D₄²×C₃₇	C₂²	semidirect
27. C₃₇×#540	C₂²	semidirect
29. C₃₇×#536	C₂²	semidirect
30. C₃₇×#536	C₂²	semidirect
35. C₃₇×#525	C₂²	semidirect
37. C₂×#121×C₃₇	C₂²	semidirect
38. C₃₇×#518	C₂²	semidirect
39. C₃₇×#496	C₂²	semidirect
40. C₃₇×#492	C₂²	semidirect
41. C₃₇×#491	C₂²	semidirect
42. C₃₇×#488	C₂²	semidirect
43. C₃₇×#485	C₂²	semidirect
44. C₃₇×#483	C₂²	semidirect
45. C₃₇×#482	C₂²	semidirect
46. C₃₇×#480	C₂²	semidirect
47. C₃₇×#478	C₂²	semidirect
48. C₃₇×#469	C₂²	semidirect
49. C₃₇×#468	C₂²	semidirect
50. C₃₇×#468	C₂²	semidirect
51. C₃₇×#465	C₂²	semidirect
52. C₃₇×#463	C₂²	semidirect
53. C₃₇×#461	C₂²	semidirect
54. C₃₇×#459	C₂²	semidirect
55. C₃₇×#450	C₂²	semidirect
56. C₃₇×#450	C₂²	semidirect
57. C₃₇×#449	C₂²	semidirect
58. C₃₇×#449	C₂²	semidirect
59. C₃₇×#449	C₂²	semidirect
60. C₃₇×#449	C₂²	semidirect
61. C₃₇×#448	C₂²	semidirect
62. C₃₇×#447	C₂²	semidirect
63. C₃₇×#447	C₂²	semidirect
64. C₃₇×#447	C₂²	semidirect
65. C₃₇×#442	C₂²	semidirect
66. C₄×D₈×C₃₇	C₂²	semidirect
67. C₃₇×#436	C₂²	semidirect
68. C₃₇×#435	C₂²	semidirect
69. C₃₇×#433	C₂²	semidirect
70. C₃₇×#418	C₂²	semidirect
71. C₃₇×#417	C₂²	semidirect
72. C₃₇×#416	C₂²	semidirect
73. C₃₇×#408	C₂²	semidirect
74. C₃₇×#407	C₂²	semidirect
342. #61648	C₃₇	direct (N × H)
372. #3537	C₂×C₃₇	semidirect
373. #3485	C₂×C₃₇	semidirect
374. #3322	C₂×C₃₇	semidirect
375. #3307	C₂×C₃₇	semidirect
376. #3272	C₂×C₃₇	semidirect
377. #3264	C₂×C₃₇	semidirect
378. #3221	C₂×C₃₇	semidirect
379. #3200	C₂×C₃₇	semidirect
380. #3194	C₂×C₃₇	semidirect
381. #3122	C₂×C₃₇	semidirect
382. #3008	C₂×C₃₇	semidirect
383. #3006	C₂×C₃₇	semidirect
384. #2978	C₂×C₃₇	semidirect
393. C₂×H(5,𝔽₂)	C₂²×C₃₇	semidirect
394. C₂²×#41	C₂²×C₃₇	semidirect
395. C₂×AGL(1,ℤ/8)	C₂²×C₃₇	semidirect
396. C₂×AGL(1,ℤ/8)	C₂²×C₃₇	semidirect
397. C₂²×D₈	C₂²×C₃₇	semidirect
399. #553	C₂²×C₃₇	semidirect
401. #547	C₂²×C₃₇	semidirect
403. #546	C₂²×C₃₇	semidirect
405. D₄²	C₂²×C₃₇	semidirect
406. #540	C₂²×C₃₇	semidirect
408. #536	C₂²×C₃₇	semidirect
409. #536	C₂²×C₃₇	semidirect
414. #525	C₂²×C₃₇	semidirect
416. C₂×#121	C₂²×C₃₇	semidirect
417. #518	C₂²×C₃₇	semidirect
418. #496	C₂²×C₃₇	semidirect
419. #492	C₂²×C₃₇	semidirect
420. #491	C₂²×C₃₇	semidirect
421. #488	C₂²×C₃₇	semidirect
422. #485	C₂²×C₃₇	semidirect
423. #483	C₂²×C₃₇	semidirect
424. #482	C₂²×C₃₇	semidirect
425. #480	C₂²×C₃₇	semidirect
426. #478	C₂²×C₃₇	semidirect
427. #469	C₂²×C₃₇	semidirect
428. #468	C₂²×C₃₇	semidirect
429. #468	C₂²×C₃₇	semidirect
430. #465	C₂²×C₃₇	semidirect
431. #463	C₂²×C₃₇	semidirect
432. #461	C₂²×C₃₇	semidirect
433. #459	C₂²×C₃₇	semidirect
434. #450	C₂²×C₃₇	semidirect
435. #450	C₂²×C₃₇	semidirect
436. #449	C₂²×C₃₇	semidirect
437. #449	C₂²×C₃₇	semidirect
438. #449	C₂²×C₃₇	semidirect
439. #449	C₂²×C₃₇	semidirect
440. #448	C₂²×C₃₇	semidirect
441. #447	C₂²×C₃₇	semidirect
442. #447	C₂²×C₃₇	semidirect
443. #447	C₂²×C₃₇	semidirect
444. #442	C₂²×C₃₇	semidirect
445. C₄×D₈	C₂²×C₃₇	semidirect
446. #436	C₂²×C₃₇	semidirect
447. #435	C₂²×C₃₇	semidirect
448. #433	C₂²×C₃₇	semidirect
449. #418	C₂²×C₃₇	semidirect
450. #417	C₂²×C₃₇	semidirect
451. #416	C₂²×C₃₇	semidirect
452. #408	C₂²×C₃₇	semidirect
453. #407	C₂²×C₃₇	semidirect
454. C₃₇	#61648	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃₇×#3537	2
C₃₇×#3485	2
C₃₇×#3322	2
C₃₇×#3307	2
C₃₇×#3272	2
C₃₇×#3264	2
C₃₇×#3221	2
C₃₇×#3200	2
C₃₇×#3194	2
C₃₇×#3122	2
C₃₇×#3008	2
C₃₇×#3006	2
C₃₇×#2978	2
#61648	37

Subgroups — C37×#61648 #22682901

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#61648 #22682901