Subgroups — C₃₇×#28507 #22649760

Order 9472.

1074 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3155	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₇×#3154	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃₇×#496	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃₇×#472	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₃₇×#471	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₇×#3058	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₇×#3057	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₃₇×#444	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₇×#2004	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₇×#2003	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₇×#2002	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₇×#2002	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₇×#1978	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₇×#1977	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₇×#1773	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#137×C₃₇	C₂²	1	1	yes	characteristic
17	C₂×AGL(1,ℤ/8)×C₃₇	C₂²	1	1	yes	characteristic
18	C₂×AGL(1,ℤ/8)×C₃₇	C₂²	1	1	yes	characteristic
19	C₂×AGL(1,ℤ/8)×C₃₇	C₂²	1	1	yes	characteristic
20	C₂×#135×C₃₇	C₂²	1	1	yes	characteristic
21	C₂²×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic
22	C₂²×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic
23	C₂²×D₈×C₃₇	C₂²	1	1	yes	characteristic
24	C₂²×D₈×C₃₇	C₂²	1	1	yes	characteristic
25	C₂×#131×C₃₇	C₂²	1	1	yes	characteristic
26	C₂×#131×C₃₇	C₂²	1	1	yes	characteristic
27	C₃₇×#536	C₂²	1	1	yes	characteristic
28	C₃₇×#535	C₂²	1	1	yes	characteristic
29	C₃₇×#535	C₂²	1	1	yes	characteristic
30	C₃₇×#535	C₂²	1	1	yes	characteristic
31	C₂×#127×C₃₇	C₂²	1	1	yes	characteristic
32	C₂×#124×C₃₇	C₂²	1	1	yes	characteristic
33	C₃₇×#497	—	2	1	no	—
34	C₃₇×#496	—	2	1	no	—
35	C₃₇×#496	—	2	1	no	—
36	C₃₇×#496	—	2	1	no	—
37	C₃₇×#496	—	2	4	no	—
38	C₃₇×#495	—	2	1	no	—
39	C₃₇×#495	—	2	1	no	—
40	C₃₇×#493	—	2	1	no	—
41	C₃₇×#492	—	2	1	no	—
42	C₃₇×#472	—	2	4	no	—
43	C₃₇×#471	—	2	4	no	—
44	C₃₇×#469	—	2	2	no	—
45	C₃₇×#468	—	2	2	no	—
46	C₃₇×#466	—	2	2	no	—
47	C₃₇×#465	—	2	2	no	—
48	C₃₇×#444	—	2	4	no	—
49	C₂×#108×C₃₇	C₂²	1	1	yes	characteristic
50	C₂×#108×C₃₇	C₂²	1	1	yes	characteristic
51	C₃₇×#427	C₂²	1	1	yes	characteristic
52	C₂×#104×C₃₇	C₂²	1	1	yes	characteristic
53	C₂×#104×C₃₇	C₂²	1	1	yes	characteristic
54	C₃₇×#419	C₂²	1	1	yes	characteristic
55	C₃₇×#418	C₂²	1	1	yes	characteristic
56	C₃₇×#418	C₂²	1	1	yes	characteristic
57	C₃₇×#418	C₂²	1	1	yes	characteristic
58	C₂×#101×C₃₇	C₂²	1	1	yes	characteristic
59	C₂×#100×C₃₇	C₂²	1	1	yes	characteristic
60	C₂×#100×C₃₇	C₂²	1	1	yes	characteristic
61	C₂×#100×C₃₇	C₂²	1	1	yes	characteristic
62	C₃₇×#405	C₂²	1	1	yes	characteristic
63	C₃₇×#405	C₂²	1	1	yes	characteristic
64	C₂×#97×C₃₇	C₂²	1	1	yes	characteristic
65	C₃₇×#339	C₂²	1	1	yes	characteristic
66	C₃₇×#339	C₂²	1	1	yes	characteristic
67	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
68	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
69	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
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	#137×C₃₇	—	2	2	no	—
75	#137×C₃₇	—	4	1	no	—
76	AGL(1,ℤ/8)×C₃₇	—	2	2	no	—
77	AGL(1,ℤ/8)×C₃₇	—	2	2	no	—
78	AGL(1,ℤ/8)×C₃₇	—	2	2	no	—
79	AGL(1,ℤ/8)×C₃₇	—	4	1	no	—
80	AGL(1,ℤ/8)×C₃₇	—	4	1	no	—
81	AGL(1,ℤ/8)×C₃₇	—	4	1	no	—
82	#135×C₃₇	—	2	2	no	—
83	#135×C₃₇	—	2	2	no	—
84	C₂×Q₁₆×C₃₇	—	2	1	no	—
85	C₂×Q₁₆×C₃₇	D₄	1	1	yes	characteristic, complemented
86	C₂×SD₁₆×C₃₇	—	2	1	no	—
87	C₂×SD₁₆×C₃₇	—	2	1	no	—
88	C₂×SD₁₆×C₃₇	—	2	1	no	—
89	C₂×SD₁₆×C₃₇	—	2	1	no	—
90	C₂×SD₁₆×C₃₇	—	2	1	no	—
91	C₂×SD₁₆×C₃₇	—	2	1	no	—
92	C₂×SD₁₆×C₃₇	—	2	2	no	—
93	C₂×SD₁₆×C₃₇	—	2	1	no	—
94	C₂×SD₁₆×C₃₇	—	2	2	no	—
95	C₂×SD₁₆×C₃₇	—	2	2	no	—
96	C₂×SD₁₆×C₃₇	—	2	1	no	—
97	C₂×SD₁₆×C₃₇	—	2	2	no	—
98	C₂×SD₁₆×C₃₇	D₄	1	1	yes	characteristic, complemented
99	C₂×SD₁₆×C₃₇	D₄	1	1	yes	characteristic, complemented
100	C₂×D₈×C₃₇	—	2	1	no	—
101	C₂×D₈×C₃₇	—	2	1	no	—
102	C₂×D₈×C₃₇	—	2	1	no	—
103	C₂×D₈×C₃₇	—	2	1	no	—
104	C₂×D₈×C₃₇	—	2	1	no	—
105	C₂×D₈×C₃₇	—	2	2	no	—
106	C₂×D₈×C₃₇	—	2	1	no	—
107	C₂×D₈×C₃₇	—	2	1	no	—
108	C₂×D₈×C₃₇	—	2	2	no	—
109	C₂×D₈×C₃₇	—	2	2	no	—
110	C₂×D₈×C₃₇	—	2	2	no	—
111	C₂×D₈×C₃₇	D₄	1	1	yes	characteristic, complemented
112	#131×C₃₇	—	2	2	no	—
113	#131×C₃₇	—	2	2	no	—
114	#131×C₃₇	—	2	2	no	—
115	#131×C₃₇	—	2	2	no	—
116	C₂×M₁₆×C₃₇	—	2	1	no	—
117	C₂×M₁₆×C₃₇	—	2	1	no	—
118	C₂×M₁₆×C₃₇	C₂³	1	1	yes	characteristic
119	C₂×M₁₆×C₃₇	C₂³	1	1	yes	characteristic
120	C₂×M₁₆×C₃₇	C₂³	1	1	yes	characteristic
121	C₂×M₁₆×C₃₇	C₂³	1	1	yes	characteristic
122	C₂²×C₈×C₃₇	—	2	1	no	—
123	C₂²×C₈×C₃₇	—	2	1	no	—
124	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
125	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
126	C₄⋊Q₈×C₃₇	—	2	1	no	—
127	#127×C₃₇	—	2	1	no	—
128	#127×C₃₇	—	2	1	no	—
129	#127×C₃₇	—	2	1	no	—
130	#127×C₃₇	—	2	2	no	—
131	#127×C₃₇	—	4	1	no	—
132	#124×C₃₇	—	2	1	no	—
133	#124×C₃₇	—	2	1	no	—
134	#124×C₃₇	—	2	1	no	—
135	#124×C₃₇	—	2	1	no	—
136	#124×C₃₇	—	2	2	no	—
137	#124×C₃₇	—	4	1	no	—
138	#123×C₃₇	—	4	1	no	—
139	C₂²⋊Q₈×C₃₇	—	2	2	no	—
140	#121×C₃₇	—	2	2	no	—
141	#121×C₃₇	—	2	2	no	—
142	#121×C₃₇	—	2	2	no	—
143	#120×C₃₇	—	4	1	no	—
144	#120×C₃₇	—	4	1	no	—
145	#120×C₃₇	—	4	1	no	—
146	#117×C₃₇	C₂³	1	1	yes	characteristic
147	#117×C₃₇	C₂³	1	1	yes	characteristic
148	C₂×C₂²⋊C₄×C₃₇	—	4	1	no	—
149	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
150	#108×C₃₇	—	2	2	no	—
151	#108×C₃₇	D₄	1	4	yes	complemented
152	#107×C₃₇	D₄	1	2	yes	complemented
153	#106×C₃₇	D₄	1	2	yes	complemented
154	#104×C₃₇	—	2	2	no	—
155	#104×C₃₇	—	2	2	no	—
156	#103×C₃₇	—	2	2	no	—
157	#102×C₃₇	—	2	2	no	—
158	#102×C₃₇	—	2	2	no	—
159	#102×C₃₇	—	2	2	no	—
160	#101×C₃₇	—	2	2	no	—
161	#100×C₃₇	—	2	2	no	—
162	#100×C₃₇	—	2	2	no	—
163	#100×C₃₇	—	2	2	no	—
164	#97×C₃₇	—	2	1	no	—
165	#97×C₃₇	—	2	1	no	—
166	#97×C₃₇	D₄	1	4	yes	complemented
167	C₄×C₈×C₃₇	—	2	1	no	—
168	C₄×C₈×C₃₇	—	2	1	no	—
169	C₂⁴×C₃₇	—	2	1	no	—
170	C₂⁴×C₃₇	—	2	1	no	—
171	C₂⁴×C₃₇	—	2	1	no	—
172	#41×C₃₇	—	2	1	no	—
173	#41×C₃₇	—	2	1	no	—
174	#41×C₃₇	—	2	1	no	—
175	#41×C₃₇	—	2	1	no	—
176	#41×C₃₇	—	2	1	no	—
177	#41×C₃₇	—	2	1	no	—
178	#41×C₃₇	—	2	1	no	—
179	#41×C₃₇	—	2	1	no	—
180	C₂×Q₈×C₃₇	—	2	1	no	—
181	C₂×Q₈×C₃₇	—	2	1	no	—
182	C₂×Q₈×C₃₇	—	2	1	no	—
183	C₂×Q₈×C₃₇	—	2	1	no	—
184	C₂×Q₈×C₃₇	—	2	1	no	—
185	C₂×Q₈×C₃₇	—	2	1	no	—
186	C₂×Q₈×C₃₇	C₂×D₄	1	1	yes	characteristic
187	C₂×Q₈×C₃₇	C₂×D₄	1	1	yes	characteristic
188	C₂×D₄×C₃₇	—	2	1	no	—
189	C₂×D₄×C₃₇	—	2	1	no	—
190	C₂×D₄×C₃₇	—	2	1	no	—
191	C₂×D₄×C₃₇	—	2	1	no	—
192	C₂×D₄×C₃₇	—	2	1	no	—
193	C₂×D₄×C₃₇	—	2	1	no	—
194	C₂×D₄×C₃₇	—	2	1	no	—
195	C₂×D₄×C₃₇	—	2	1	no	—
196	C₂×D₄×C₃₇	—	2	1	no	—
197	C₂×D₄×C₃₇	—	2	1	no	—
198	C₂×D₄×C₃₇	—	2	1	no	—
199	C₂×D₄×C₃₇	—	2	1	no	—
200	C₂×D₄×C₃₇	—	2	1	no	—
201	C₂×D₄×C₃₇	—	2	1	no	—
202	C₂×D₄×C₃₇	—	2	1	no	—
203	C₂×D₄×C₃₇	—	2	1	no	—
204	C₂×D₄×C₃₇	—	2	1	no	—
205	C₂×D₄×C₃₇	—	2	1	no	—
206	C₂×D₄×C₃₇	—	2	1	no	—
207	C₂×D₄×C₃₇	—	2	1	no	—
208	C₂×D₄×C₃₇	—	4	4	no	—
209	C₂×D₄×C₃₇	—	4	2	no	—
210	C₂×D₄×C₃₇	—	4	2	no	—
211	C₂×D₄×C₃₇	—	4	2	no	—
212	C₂×D₄×C₃₇	—	8	4	no	—
213	C₂×D₄×C₃₇	C₂×D₄	1	1	yes	characteristic
214	C₂×D₄×C₃₇	C₂×D₄	1	1	yes	characteristic
215	C₂²×C₄×C₃₇	—	2	1	no	—
216	C₂²×C₄×C₃₇	—	2	1	no	—
217	C₂²×C₄×C₃₇	—	2	1	no	—
218	C₂²×C₄×C₃₇	—	2	1	no	—
219	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
220	Q₁₆×C₃₇	—	2	2	no	—
221	Q₁₆×C₃₇	—	4	2	no	—
222	SD₁₆×C₃₇	—	2	2	no	—
223	SD₁₆×C₃₇	—	2	2	no	—
224	SD₁₆×C₃₇	—	4	2	no	—
225	SD₁₆×C₃₇	—	4	2	no	—
226	SD₁₆×C₃₇	—	4	2	no	—
227	SD₁₆×C₃₇	—	4	2	no	—
228	SD₁₆×C₃₇	—	4	2	no	—
229	SD₁₆×C₃₇	—	4	2	no	—
230	SD₁₆×C₃₇	—	4	2	no	—
231	SD₁₆×C₃₇	—	4	2	no	—
232	D₈×C₃₇	—	2	2	no	—
233	D₈×C₃₇	—	4	2	no	—
234	D₈×C₃₇	—	4	2	no	—
235	D₈×C₃₇	—	4	2	no	—
236	D₈×C₃₇	—	4	2	no	—
237	D₈×C₃₇	—	4	2	no	—
238	D₈×C₃₇	—	4	2	no	—
239	D₈×C₃₇	—	4	2	no	—
240	M₁₆×C₃₇	—	2	1	no	—
241	M₁₆×C₃₇	—	2	1	no	—
242	M₁₆×C₃₇	—	2	1	no	—
243	M₁₆×C₃₇	—	2	1	no	—
244	M₁₆×C₃₇	—	2	1	no	—
245	M₁₆×C₃₇	—	2	1	no	—
246	M₁₆×C₃₇	—	4	2	no	—
247	M₁₆×C₃₇	—	4	2	no	—
248	M₁₆×C₃₇	C₂×D₄	1	2	yes	—
249	M₁₆×C₃₇	C₂×D₄	1	2	yes	—
250	C₂×C₈×C₃₇	—	2	1	no	—
251	C₂×C₈×C₃₇	—	2	1	no	—
252	C₂×C₈×C₃₇	—	2	1	no	—
253	C₂×C₈×C₃₇	—	2	1	no	—
254	C₂×C₈×C₃₇	—	4	2	no	—
255	C₂×C₈×C₃₇	—	4	2	no	—
256	C₂×C₈×C₃₇	C₂×D₄	1	1	yes	characteristic
257	C₂×C₈×C₃₇	C₂×D₄	1	1	yes	characteristic
258	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
259	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
260	C₂×C₈×C₃₇	C₂×D₄	1	1	yes	characteristic
261	C₂×C₈×C₃₇	C₂×D₄	1	1	yes	characteristic
262	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
263	C₂×C₈×C₃₇	#41	1	2	yes	—
264	C₄⋊C₄×C₃₇	—	4	2	no	—
265	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
266	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
267	C₂²⋊C₄×C₃₇	—	2	1	no	—
268	C₂²⋊C₄×C₃₇	—	2	1	no	—
269	C₂²⋊C₄×C₃₇	—	4	2	no	—
270	C₂²⋊C₄×C₃₇	—	4	2	no	—
271	C₂²⋊C₄×C₃₇	—	4	2	no	—
272	C₂²⋊C₄×C₃₇	—	4	2	no	—
273	C₂²⋊C₄×C₃₇	—	4	4	no	—
274	C₄²×C₃₇	—	2	1	no	—
275	C₄²×C₃₇	—	2	1	no	—
276	C₄²×C₃₇	—	2	1	no	—
277	C₄²×C₃₇	C₂×D₄	1	2	yes	—
278	C₂³×C₃₇	—	2	1	no	—
279	C₂³×C₃₇	—	2	1	no	—
280	C₂³×C₃₇	—	4	1	no	—
281	C₂³×C₃₇	—	4	1	no	—
282	C₂³×C₃₇	—	4	1	no	—
283	C₂³×C₃₇	—	4	1	no	—
284	C₂³×C₃₇	—	4	1	no	—
285	C₂³×C₃₇	—	4	1	no	—
286	C₂³×C₃₇	—	4	1	no	—
287	C₂³×C₃₇	—	4	1	no	—
288	C₂³×C₃₇	—	4	1	no	—
289	C₂³×C₃₇	—	8	2	no	—
290	C₂³×C₃₇	—	8	2	no	—
291	C₂³×C₃₇	—	8	2	no	—
292	C₂³×C₃₇	H(5,𝔽₂)	1	1	yes	characteristic
293	Q₈×C₃₇	—	2	1	no	—
294	Q₈×C₃₇	—	2	1	no	—
295	Q₈×C₃₇	—	2	1	no	—
296	Q₈×C₃₇	—	2	1	no	—
297	Q₈×C₃₇	—	4	1	no	—
298	Q₈×C₃₇	—	4	1	no	—
299	Q₈×C₃₇	—	4	1	no	—
300	Q₈×C₃₇	—	4	1	no	—
301	D₄×C₃₇	—	2	1	no	—
302	D₄×C₃₇	—	2	1	no	—
303	D₄×C₃₇	—	2	1	no	—
304	D₄×C₃₇	—	2	1	no	—
305	D₄×C₃₇	—	4	1	no	—
306	D₄×C₃₇	—	4	1	no	—
307	D₄×C₃₇	—	4	1	no	—
308	D₄×C₃₇	—	4	1	no	—
309	D₄×C₃₇	—	4	1	no	—
310	D₄×C₃₇	—	4	1	no	—
311	D₄×C₃₇	—	4	1	no	—
312	D₄×C₃₇	—	4	1	no	—
313	D₄×C₃₇	—	4	1	no	—
314	D₄×C₃₇	—	4	1	no	—
315	D₄×C₃₇	—	4	1	no	—
316	D₄×C₃₇	—	4	1	no	—
317	D₄×C₃₇	—	4	1	no	—
318	D₄×C₃₇	—	4	1	no	—
319	D₄×C₃₇	—	4	1	no	—
320	D₄×C₃₇	—	4	1	no	—
321	D₄×C₃₇	—	8	8	no	—
322	D₄×C₃₇	—	16	2	no	—
323	D₄×C₃₇	—	16	2	no	—
324	D₄×C₃₇	—	16	2	no	—
325	C₂×C₄×C₃₇	—	2	2	no	—
326	C₂×C₄×C₃₇	—	2	2	no	—
327	C₂×C₄×C₃₇	—	2	2	no	—
328	C₂×C₄×C₃₇	—	2	1	no	—
329	C₂×C₄×C₃₇	—	2	1	no	—
330	C₂×C₄×C₃₇	—	4	2	no	—
331	C₂×C₄×C₃₇	—	4	1	no	—
332	C₂×C₄×C₃₇	—	4	1	no	—
333	C₂×C₄×C₃₇	—	4	1	no	—
334	C₂×C₄×C₃₇	—	4	1	no	—
335	C₂×C₄×C₃₇	—	4	1	no	—
336	C₂×C₄×C₃₇	—	4	1	no	—
337	C₂×C₄×C₃₇	—	4	1	no	—
338	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
339	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
340	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
341	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
342	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
343	C₂×C₄×C₃₇	H(5,𝔽₂)	1	1	yes	characteristic
344	C₈×C₃₇	—	2	2	no	—
345	C₈×C₃₇	—	2	2	no	—
346	C₈×C₃₇	—	4	1	no	—
347	C₈×C₃₇	—	4	1	no	—
348	C₈×C₃₇	#121	1	2	yes	—
349	C₈×C₃₇	#121	1	2	yes	—
350	C₈×C₃₇	#127	1	2	yes	—
351	C₈×C₃₇	#127	1	2	yes	—
352	#28507	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
353	C₂²×C₃₇	—	2	2	no	—
354	C₂²×C₃₇	—	4	2	no	—
355	C₂²×C₃₇	—	4	2	no	—
356	C₂²×C₃₇	—	4	1	no	—
357	C₂²×C₃₇	—	4	1	no	—
358	C₂²×C₃₇	—	8	2	no	—
359	C₂²×C₃₇	—	8	2	no	—
360	C₂²×C₃₇	—	8	2	no	—
361	C₂²×C₃₇	—	8	2	no	—
362	C₂²×C₃₇	—	8	2	no	—
363	C₂²×C₃₇	—	8	2	no	—
364	C₂²×C₃₇	—	8	1	no	—
365	C₂²×C₃₇	—	8	1	no	—
366	C₂²×C₃₇	—	8	1	no	—
367	C₂²×C₃₇	—	16	1	no	—
368	C₂²×C₃₇	—	16	1	no	—
369	C₂²×C₃₇	—	16	1	no	—
370	C₂²×C₃₇	#535	1	1	yes	characteristic
371	C₂²×C₃₇	D₄²	1	1	yes	characteristic
372	C₂²×C₃₇	#550	1	1	yes	characteristic
373	C₄×C₃₇	—	4	2	no	—
374	C₄×C₃₇	—	4	2	no	—
375	C₄×C₃₇	—	4	2	no	—
376	C₄×C₃₇	—	4	1	no	—
377	C₄×C₃₇	—	4	1	no	—
378	C₄×C₃₇	—	8	1	no	—
379	C₄×C₃₇	C₂×#121	1	1	yes	characteristic
380	C₄×C₃₇	C₂×#127	1	1	yes	characteristic
381	C₄×C₃₇	D₄²	1	1	yes	characteristic
382	C₄×C₃₇	#550	1	1	yes	characteristic
383	#3155	C₂×C₃₇	1	1	yes	characteristic, complemented
384	#3154	C₂×C₃₇	1	1	yes	characteristic, complemented
385	C₂×#496	C₂×C₃₇	1	1	yes	characteristic, complemented
386	C₂×#472	C₂×C₃₇	1	1	yes	characteristic, complemented
387	C₂×#471	C₂×C₃₇	1	1	yes	characteristic, complemented
388	#3058	C₂×C₃₇	1	1	yes	characteristic, complemented
389	#3057	C₂×C₃₇	1	1	yes	characteristic, complemented
390	C₂×#444	C₂×C₃₇	1	1	yes	characteristic, complemented
391	#2004	C₂×C₃₇	1	1	yes	characteristic, complemented
392	#2003	C₂×C₃₇	1	1	yes	characteristic, complemented
393	#2002	C₂×C₃₇	1	1	yes	characteristic, complemented
394	#2002	C₂×C₃₇	1	1	yes	characteristic, complemented
395	#1978	C₂×C₃₇	1	1	yes	characteristic, complemented
396	#1977	C₂×C₃₇	1	1	yes	characteristic, complemented
397	#1773	C₂×C₃₇	1	1	yes	characteristic, complemented
398	C₂×C₃₇	—	2	1	no	—
399	C₂×C₃₇	—	2	1	no	—
400	C₂×C₃₇	—	8	1	no	—
401	C₂×C₃₇	—	8	1	no	—
402	C₂×C₃₇	—	16	1	no	—
403	C₂×C₃₇	—	16	1	no	—
404	C₂×C₃₇	—	16	1	no	—
405	C₂×C₃₇	#2541	1	1	yes	characteristic
406	C₂×C₃₇	#3288	1	2	yes	—
407	C₂×#137	C₂²×C₃₇	1	1	yes	characteristic
408	C₂×AGL(1,ℤ/8)	C₂²×C₃₇	1	1	yes	characteristic
409	C₂×AGL(1,ℤ/8)	C₂²×C₃₇	1	1	yes	characteristic
410	C₂×AGL(1,ℤ/8)	C₂²×C₃₇	1	1	yes	characteristic
411	C₂×#135	C₂²×C₃₇	1	1	yes	characteristic
412	C₂²×SD₁₆	C₂²×C₃₇	1	1	yes	characteristic
413	C₂²×SD₁₆	C₂²×C₃₇	1	1	yes	characteristic
414	C₂²×D₈	C₂²×C₃₇	1	1	yes	characteristic
415	C₂²×D₈	C₂²×C₃₇	1	1	yes	characteristic
416	C₂×#131	C₂²×C₃₇	1	1	yes	characteristic
417	C₂×#131	C₂²×C₃₇	1	1	yes	characteristic
418	#536	C₂²×C₃₇	1	1	yes	characteristic
419	#535	C₂²×C₃₇	1	1	yes	characteristic
420	#535	C₂²×C₃₇	1	1	yes	characteristic
421	#535	C₂²×C₃₇	1	1	yes	characteristic
422	C₂×#127	C₂²×C₃₇	1	1	yes	characteristic
423	C₂×#124	C₂²×C₃₇	1	1	yes	characteristic
424	#497	—	2	1	no	—
425	#496	—	2	1	no	—
426	#496	—	2	1	no	—
427	#496	—	2	1	no	—
428	#496	—	2	4	no	—
429	#495	—	2	1	no	—
430	#495	—	2	1	no	—
431	#493	—	2	1	no	—
432	#492	—	2	1	no	—
433	#472	—	2	4	no	—
434	#471	—	2	4	no	—
435	#469	—	2	2	no	—
436	#468	—	2	2	no	—
437	#466	—	2	2	no	—
438	#465	—	2	2	no	—
439	#444	—	2	4	no	—
440	C₂×#108	C₂²×C₃₇	1	1	yes	characteristic
441	C₂×#108	C₂²×C₃₇	1	1	yes	characteristic
442	#427	C₂²×C₃₇	1	1	yes	characteristic
443	C₂×#104	C₂²×C₃₇	1	1	yes	characteristic
444	C₂×#104	C₂²×C₃₇	1	1	yes	characteristic
445	#419	C₂²×C₃₇	1	1	yes	characteristic
446	#418	C₂²×C₃₇	1	1	yes	characteristic
447	#418	C₂²×C₃₇	1	1	yes	characteristic
448	#418	C₂²×C₃₇	1	1	yes	characteristic
449	C₂×#101	C₂²×C₃₇	1	1	yes	characteristic
450	C₂×#100	C₂²×C₃₇	1	1	yes	characteristic
451	C₂×#100	C₂²×C₃₇	1	1	yes	characteristic
452	C₂×#100	C₂²×C₃₇	1	1	yes	characteristic
453	#405	C₂²×C₃₇	1	1	yes	characteristic
454	#405	C₂²×C₃₇	1	1	yes	characteristic
455	C₂×#97	C₂²×C₃₇	1	1	yes	characteristic
456	#339	C₂²×C₃₇	1	1	yes	characteristic
457	#339	C₂²×C₃₇	1	1	yes	characteristic
458	C₃₇	#28507	1	1	yes	characteristic, direct product factor, Sylow
459	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
460	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
461	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
462	C₂²×D₄	—	4	1	no	—
463	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
464	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
465	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
466	#137	—	2	2	no	—
467	#137	—	4	1	no	—
468	AGL(1,ℤ/8)	—	2	2	no	—
469	AGL(1,ℤ/8)	—	2	2	no	—
470	AGL(1,ℤ/8)	—	2	2	no	—
471	AGL(1,ℤ/8)	—	4	1	no	—
472	AGL(1,ℤ/8)	—	4	1	no	—
473	AGL(1,ℤ/8)	—	4	1	no	—
474	#135	—	2	2	no	—
475	#135	—	2	2	no	—
476	C₂×Q₁₆	—	2	1	no	—
477	C₂×Q₁₆	D₄×C₃₇	1	1	yes	characteristic, complemented
478	C₂×SD₁₆	—	2	1	no	—
479	C₂×SD₁₆	—	2	1	no	—
480	C₂×SD₁₆	—	2	1	no	—
481	C₂×SD₁₆	—	2	1	no	—
482	C₂×SD₁₆	—	2	1	no	—
483	C₂×SD₁₆	—	2	1	no	—
484	C₂×SD₁₆	—	2	2	no	—
485	C₂×SD₁₆	—	2	1	no	—
486	C₂×SD₁₆	—	2	2	no	—
487	C₂×SD₁₆	—	2	2	no	—
488	C₂×SD₁₆	—	2	1	no	—
489	C₂×SD₁₆	—	2	2	no	—
490	C₂×SD₁₆	D₄×C₃₇	1	1	yes	characteristic, complemented
491	C₂×SD₁₆	D₄×C₃₇	1	1	yes	characteristic, complemented
492	C₂×D₈	—	2	1	no	—
493	C₂×D₈	—	2	1	no	—
494	C₂×D₈	—	2	1	no	—
495	C₂×D₈	—	2	1	no	—
496	C₂×D₈	—	2	1	no	—
497	C₂×D₈	—	2	2	no	—
498	C₂×D₈	—	2	1	no	—
499	C₂×D₈	—	2	1	no	—
500	C₂×D₈	—	2	2	no	—
501	C₂×D₈	—	2	2	no	—
502	C₂×D₈	—	2	2	no	—
503	C₂×D₈	D₄×C₃₇	1	1	yes	characteristic, complemented
504	#131	—	2	2	no	—
505	#131	—	2	2	no	—
506	#131	—	2	2	no	—
507	#131	—	2	2	no	—
508	C₂×M₁₆	—	2	1	no	—
509	C₂×M₁₆	—	2	1	no	—
510	C₂×M₁₆	C₂³×C₃₇	1	1	yes	characteristic
511	C₂×M₁₆	C₂³×C₃₇	1	1	yes	characteristic
512	C₂×M₁₆	C₂³×C₃₇	1	1	yes	characteristic
513	C₂×M₁₆	C₂³×C₃₇	1	1	yes	characteristic
514	C₂²×C₈	—	2	1	no	—
515	C₂²×C₈	—	2	1	no	—
516	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
517	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
518	C₄⋊Q₈	—	2	1	no	—
519	#127	—	2	1	no	—
520	#127	—	2	1	no	—
521	#127	—	2	1	no	—
522	#127	—	2	2	no	—
523	#127	—	4	1	no	—
524	#124	—	2	1	no	—
525	#124	—	2	1	no	—
526	#124	—	2	1	no	—
527	#124	—	2	1	no	—
528	#124	—	2	2	no	—
529	#124	—	4	1	no	—
530	#123	—	4	1	no	—
531	C₂²⋊Q₈	—	2	2	no	—
532	#121	—	2	2	no	—
533	#121	—	2	2	no	—
534	#121	—	2	2	no	—
535	#120	—	4	1	no	—
536	#120	—	4	1	no	—
537	#120	—	4	1	no	—
538	#117	C₂³×C₃₇	1	1	yes	characteristic
539	#117	C₂³×C₃₇	1	1	yes	characteristic
540	C₂×C₂²⋊C₄	—	4	1	no	—
541	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
542	#108	—	2	2	no	—
543	#108	D₄×C₃₇	1	4	yes	complemented
544	#107	D₄×C₃₇	1	2	yes	complemented
545	#106	D₄×C₃₇	1	2	yes	complemented
546	#104	—	2	2	no	—
547	#104	—	2	2	no	—
548	#103	—	2	2	no	—
549	#102	—	2	2	no	—
550	#102	—	2	2	no	—
551	#102	—	2	2	no	—
552	#101	—	2	2	no	—
553	#100	—	2	2	no	—
554	#100	—	2	2	no	—
555	#100	—	2	2	no	—
556	#97	—	2	1	no	—
557	#97	—	2	1	no	—
558	#97	D₄×C₃₇	1	4	yes	complemented
559	C₄×C₈	—	2	1	no	—
560	C₄×C₈	—	2	1	no	—
561	C₂⁴	—	2	1	no	—
562	C₂⁴	—	2	1	no	—
563	C₂⁴	—	2	1	no	—
564	#41	—	2	1	no	—
565	#41	—	2	1	no	—
566	#41	—	2	1	no	—
567	#41	—	2	1	no	—
568	#41	—	2	1	no	—
569	#41	—	2	1	no	—
570	#41	—	2	1	no	—
571	#41	—	2	1	no	—
572	C₂×Q₈	—	2	1	no	—
573	C₂×Q₈	—	2	1	no	—
574	C₂×Q₈	—	2	1	no	—
575	C₂×Q₈	—	2	1	no	—
576	C₂×Q₈	—	2	1	no	—
577	C₂×Q₈	—	2	1	no	—
578	C₂×Q₈	C₂×D₄×C₃₇	1	1	yes	characteristic
579	C₂×Q₈	C₂×D₄×C₃₇	1	1	yes	characteristic
580	C₂×D₄	—	2	1	no	—
581	C₂×D₄	—	2	1	no	—
582	C₂×D₄	—	2	1	no	—
583	C₂×D₄	—	2	1	no	—
584	C₂×D₄	—	2	1	no	—
585	C₂×D₄	—	2	1	no	—
586	C₂×D₄	—	2	1	no	—
587	C₂×D₄	—	2	1	no	—
588	C₂×D₄	—	2	1	no	—
589	C₂×D₄	—	2	1	no	—
590	C₂×D₄	—	2	1	no	—
591	C₂×D₄	—	2	1	no	—
592	C₂×D₄	—	2	1	no	—
593	C₂×D₄	—	2	1	no	—
594	C₂×D₄	—	2	1	no	—
595	C₂×D₄	—	2	1	no	—
596	C₂×D₄	—	2	1	no	—
597	C₂×D₄	—	2	1	no	—
598	C₂×D₄	—	2	1	no	—
599	C₂×D₄	—	2	1	no	—
600	C₂×D₄	—	4	4	no	—
601	C₂×D₄	—	4	2	no	—
602	C₂×D₄	—	4	2	no	—
603	C₂×D₄	—	4	2	no	—
604	C₂×D₄	—	8	4	no	—
605	C₂×D₄	C₂×D₄×C₃₇	1	1	yes	characteristic
606	C₂×D₄	C₂×D₄×C₃₇	1	1	yes	characteristic
607	C₂²×C₄	—	2	1	no	—
608	C₂²×C₄	—	2	1	no	—
609	C₂²×C₄	—	2	1	no	—
610	C₂²×C₄	—	2	1	no	—
611	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
612	Q₁₆	—	2	2	no	—
613	Q₁₆	—	4	2	no	—
614	SD₁₆	—	2	2	no	—
615	SD₁₆	—	2	2	no	—
616	SD₁₆	—	4	2	no	—
617	SD₁₆	—	4	2	no	—
618	SD₁₆	—	4	2	no	—
619	SD₁₆	—	4	2	no	—
620	SD₁₆	—	4	2	no	—
621	SD₁₆	—	4	2	no	—
622	SD₁₆	—	4	2	no	—
623	SD₁₆	—	4	2	no	—
624	D₈	—	2	2	no	—
625	D₈	—	4	2	no	—
626	D₈	—	4	2	no	—
627	D₈	—	4	2	no	—
628	D₈	—	4	2	no	—
629	D₈	—	4	2	no	—
630	D₈	—	4	2	no	—
631	D₈	—	4	2	no	—
632	M₁₆	—	2	1	no	—
633	M₁₆	—	2	1	no	—
634	M₁₆	—	2	1	no	—
635	M₁₆	—	2	1	no	—
636	M₁₆	—	2	1	no	—
637	M₁₆	—	2	1	no	—
638	M₁₆	—	4	2	no	—
639	M₁₆	—	4	2	no	—
640	M₁₆	C₂×D₄×C₃₇	1	2	yes	—
641	M₁₆	C₂×D₄×C₃₇	1	2	yes	—
642	C₂×C₈	—	2	1	no	—
643	C₂×C₈	—	2	1	no	—
644	C₂×C₈	—	2	1	no	—
645	C₂×C₈	—	2	1	no	—
646	C₂×C₈	—	4	2	no	—
647	C₂×C₈	—	4	2	no	—
648	C₂×C₈	C₂×D₄×C₃₇	1	1	yes	characteristic
649	C₂×C₈	C₂×D₄×C₃₇	1	1	yes	characteristic
650	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
651	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
652	C₂×C₈	C₂×D₄×C₃₇	1	1	yes	characteristic
653	C₂×C₈	C₂×D₄×C₃₇	1	1	yes	characteristic
654	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
655	C₂×C₈	#41×C₃₇	1	2	yes	—
656	C₄⋊C₄	—	4	2	no	—
657	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
658	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
659	C₂²⋊C₄	—	2	1	no	—
660	C₂²⋊C₄	—	2	1	no	—
661	C₂²⋊C₄	—	4	2	no	—
662	C₂²⋊C₄	—	4	2	no	—
663	C₂²⋊C₄	—	4	2	no	—
664	C₂²⋊C₄	—	4	2	no	—
665	C₂²⋊C₄	—	4	4	no	—
666	C₄²	—	2	1	no	—
667	C₄²	—	2	1	no	—
668	C₄²	—	2	1	no	—
669	C₄²	C₂×D₄×C₃₇	1	2	yes	—
670	C₂³	—	2	1	no	—
671	C₂³	—	2	1	no	—
672	C₂³	—	4	1	no	—
673	C₂³	—	4	1	no	—
674	C₂³	—	4	1	no	—
675	C₂³	—	4	1	no	—
676	C₂³	—	4	1	no	—
677	C₂³	—	4	1	no	—
678	C₂³	—	4	1	no	—
679	C₂³	—	4	1	no	—
680	C₂³	—	4	1	no	—
681	C₂³	—	8	2	no	—
682	C₂³	—	8	2	no	—
683	C₂³	—	8	2	no	—
684	C₂³	H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
685	Q₈	—	2	1	no	—
686	Q₈	—	2	1	no	—
687	Q₈	—	2	1	no	—
688	Q₈	—	2	1	no	—
689	Q₈	—	4	1	no	—
690	Q₈	—	4	1	no	—
691	Q₈	—	4	1	no	—
692	Q₈	—	4	1	no	—
693	D₄	—	2	1	no	—
694	D₄	—	2	1	no	—
695	D₄	—	2	1	no	—
696	D₄	—	2	1	no	—
697	D₄	—	4	1	no	—
698	D₄	—	4	1	no	—
699	D₄	—	4	1	no	—
700	D₄	—	4	1	no	—
701	D₄	—	4	1	no	—
702	D₄	—	4	1	no	—
703	D₄	—	4	1	no	—
704	D₄	—	4	1	no	—
705	D₄	—	4	1	no	—
706	D₄	—	4	1	no	—
707	D₄	—	4	1	no	—
708	D₄	—	4	1	no	—
709	D₄	—	4	1	no	—
710	D₄	—	4	1	no	—
711	D₄	—	4	1	no	—
712	D₄	—	4	1	no	—
713	D₄	—	8	8	no	—
714	D₄	—	16	2	no	—
715	D₄	—	16	2	no	—
716	D₄	—	16	2	no	—
717	C₂×C₄	—	2	2	no	—
718	C₂×C₄	—	2	2	no	—
719	C₂×C₄	—	2	2	no	—
720	C₂×C₄	—	2	1	no	—
721	C₂×C₄	—	2	1	no	—
722	C₂×C₄	—	4	2	no	—
723	C₂×C₄	—	4	1	no	—
724	C₂×C₄	—	4	1	no	—
725	C₂×C₄	—	4	1	no	—
726	C₂×C₄	—	4	1	no	—
727	C₂×C₄	—	4	1	no	—
728	C₂×C₄	—	4	1	no	—
729	C₂×C₄	—	4	1	no	—
730	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
731	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
732	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
733	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
734	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
735	C₂×C₄	H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
736	C₈	—	2	2	no	—
737	C₈	—	2	2	no	—
738	C₈	—	4	1	no	—
739	C₈	—	4	1	no	—
740	C₈	#121×C₃₇	1	2	yes	—
741	C₈	#121×C₃₇	1	2	yes	—
742	C₈	#127×C₃₇	1	2	yes	—
743	C₈	#127×C₃₇	1	2	yes	—
744	C₂²	—	2	2	no	—
745	C₂²	—	4	2	no	—
746	C₂²	—	4	2	no	—
747	C₂²	—	4	1	no	—
748	C₂²	—	4	1	no	—
749	C₂²	—	8	2	no	—
750	C₂²	—	8	2	no	—
751	C₂²	—	8	2	no	—
752	C₂²	—	8	2	no	—
753	C₂²	—	8	2	no	—
754	C₂²	—	8	2	no	—
755	C₂²	—	8	1	no	—
756	C₂²	—	8	1	no	—
757	C₂²	—	8	1	no	—
758	C₂²	—	16	1	no	—
759	C₂²	—	16	1	no	—
760	C₂²	—	16	1	no	—
761	C₂²	C₃₇×#535	1	1	yes	characteristic
762	C₂²	D₄²×C₃₇	1	1	yes	characteristic
763	C₂²	C₃₇×#550	1	1	yes	characteristic
764	C₄	—	4	2	no	—
765	C₄	—	4	2	no	—
766	C₄	—	4	2	no	—
767	C₄	—	4	1	no	—
768	C₄	—	4	1	no	—
769	C₄	—	8	1	no	—
770	C₄	C₂×#121×C₃₇	1	1	yes	characteristic
771	C₄	C₂×#127×C₃₇	1	1	yes	characteristic
772	C₄	D₄²×C₃₇	1	1	yes	characteristic
773	C₄	C₃₇×#550	1	1	yes	characteristic
774	C₂	—	2	1	no	—
775	C₂	—	2	1	no	—
776	C₂	—	8	1	no	—
777	C₂	—	8	1	no	—
778	C₂	—	16	1	no	—
779	C₂	—	16	1	no	—
780	C₂	—	16	1	no	—
781	C₂	C₃₇×#2541	1	1	yes	characteristic
782	C₂	C₃₇×#3288	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₃₇	D₄²
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₇
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₇ ◁ C₂²×C₄×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₇×#3155	C₂	semidirect
2. C₃₇×#3154	C₂	semidirect
3. C₂×C₃₇×#496	C₂	semidirect
4. C₂×C₃₇×#472	C₂	semidirect
5. C₂×C₃₇×#471	C₂	semidirect
6. C₃₇×#3058	C₂	semidirect
7. C₃₇×#3057	C₂	semidirect
8. C₂×C₃₇×#444	C₂	semidirect
9. C₃₇×#2004	C₂	semidirect
10. C₃₇×#2003	C₂	semidirect
11. C₃₇×#2002	C₂	semidirect
12. C₃₇×#2002	C₂	semidirect
13. C₃₇×#1978	C₂	semidirect
14. C₃₇×#1977	C₂	semidirect
15. C₃₇×#1773	C₂	semidirect
85. C₂×Q₁₆×C₃₇	D₄	semidirect
98. C₂×SD₁₆×C₃₇	D₄	semidirect
99. C₂×SD₁₆×C₃₇	D₄	semidirect
111. C₂×D₈×C₃₇	D₄	semidirect
151. #108×C₃₇	D₄	semidirect
152. #107×C₃₇	D₄	semidirect
153. #106×C₃₇	D₄	semidirect
166. #97×C₃₇	D₄	semidirect
352. #28507	C₃₇	direct (N × H)
383. #3155	C₂×C₃₇	semidirect
384. #3154	C₂×C₃₇	semidirect
385. C₂×#496	C₂×C₃₇	semidirect
386. C₂×#472	C₂×C₃₇	semidirect
387. C₂×#471	C₂×C₃₇	semidirect
388. #3058	C₂×C₃₇	semidirect
389. #3057	C₂×C₃₇	semidirect
390. C₂×#444	C₂×C₃₇	semidirect
391. #2004	C₂×C₃₇	semidirect
392. #2003	C₂×C₃₇	semidirect
393. #2002	C₂×C₃₇	semidirect
394. #2002	C₂×C₃₇	semidirect
395. #1978	C₂×C₃₇	semidirect
396. #1977	C₂×C₃₇	semidirect
397. #1773	C₂×C₃₇	semidirect
458. C₃₇	#28507	direct (N × H)
477. C₂×Q₁₆	D₄×C₃₇	semidirect
490. C₂×SD₁₆	D₄×C₃₇	semidirect
491. C₂×SD₁₆	D₄×C₃₇	semidirect
503. C₂×D₈	D₄×C₃₇	semidirect
543. #108	D₄×C₃₇	semidirect
544. #107	D₄×C₃₇	semidirect
545. #106	D₄×C₃₇	semidirect
558. #97	D₄×C₃₇	semidirect

Maximal subgroups

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

subgroup	index
C₃₇×#3155	2
C₃₇×#3154	2
C₂×C₃₇×#496	2
C₂×C₃₇×#472	2
C₂×C₃₇×#471	2
C₃₇×#3058	2
C₃₇×#3057	2
C₂×C₃₇×#444	2
C₃₇×#2004	2
C₃₇×#2003	2
C₃₇×#2002	2
C₃₇×#1978	2
C₃₇×#1977	2
C₃₇×#1773	2
#28507	37

Subgroups — C37×#28507 #22649760

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#28507 #22649760