Subgroups — C₃₇×#62953 #22684206

Order 9472.

6344 conjugacy classes of subgroups.

The subgroup lattice has 1280 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3565	C₂	1	6	yes	maximal, complemented
2	C₃₇×#3565	C₂	1	6	yes	maximal, complemented
3	C₃₇×#3557	C₂	1	6	yes	maximal, complemented
4	C₃₇×#3555	C₂	1	6	yes	maximal, complemented
5	C₃₇×#3555	C₂	1	3	yes	maximal, complemented
6	C₃₇×#3552	C₂	1	3	yes	maximal, complemented
7	C₃₇×#3550	C₂	1	3	yes	maximal, complemented
8	C₃₇×#3547	C₂	1	3	yes	maximal, complemented
9	C₃₇×#3524	C₂	1	2	yes	maximal, complemented
10	C₃₇×#3523	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₇×#3523	C₂	1	3	yes	maximal, complemented
12	C₃₇×#3518	C₂	1	2	yes	maximal, complemented
13	C₃₇×#3518	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₇×#3518	C₂	1	3	yes	maximal, complemented
15	C₃₇×#3516	C₂	1	2	yes	maximal, complemented
16	C₃₇×#3509	C₂	1	3	yes	maximal, complemented
17	C₃₇×#3503	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃₇×#3502	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₇×#3502	C₂	1	2	yes	maximal, complemented
20	C₃₇×#3482	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₇×#3480	C₂	1	1	yes	maximal, characteristic, complemented
22	Q₈×#41×C₃₇	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃₇×#3461	C₂	1	3	yes	maximal, complemented
24	C₃₇×#563	C₂²	1	12	yes	—
25	C₃₇×#563	C₂²	1	12	yes	—
26	C₃₇×#563	C₂²	1	12	yes	—
27	C₃₇×#562	C₂²	1	12	yes	—
28	C₃₇×#559	C₂²	1	3	yes	—
29	C₃₇×#559	C₂²	1	6	yes	—
30	Q₈²×C₃₇	C₂²	1	1	yes	characteristic
31	Q₈²×C₃₇	C₂²	1	2	yes	—
32	Q₈²×C₃₇	C₂²	1	3	yes	—
33	Q₈²×C₃₇	C₂²	1	6	yes	—
34	C₃₇×#557	C₂²	1	2	yes	—
35	C₃₇×#557	C₂²	1	1	yes	characteristic
36	C₃₇×#557	C₂²	1	1	yes	characteristic
37	C₃₇×#557	C₂²	1	1	yes	characteristic
38	C₃₇×#557	C₂²	1	2	yes	—
39	C₃₇×#557	C₂²	1	6	yes	—
40	C₃₇×#557	C₂²	1	3	yes	—
41	C₃₇×#557	C₂²	1	6	yes	—
42	C₃₇×#557	C₂²	1	6	yes	—
43	C₃₇×#557	C₂²	1	6	yes	—
44	C₃₇×#557	C₂²	1	6	yes	—
45	C₃₇×#557	C₂²	1	3	yes	—
46	C₃₇×#556	C₂²	1	3	yes	—
47	C₃₇×#556	C₂²	1	3	yes	—
48	C₃₇×#556	C₂²	1	6	yes	—
49	C₃₇×#556	C₂²	1	6	yes	—
50	C₃₇×#556	C₂²	1	6	yes	—
51	C₃₇×#556	C₂²	1	6	yes	—
52	C₃₇×#556	C₂²	1	3	yes	—
53	C₃₇×#556	C₂²	1	3	yes	—
54	C₃₇×#556	C₂²	1	6	yes	—
55	C₃₇×#556	C₂²	1	6	yes	—
56	C₃₇×#556	C₂²	1	12	yes	—
57	C₃₇×#556	C₂²	1	6	yes	—
58	C₃₇×#555	C₂²	1	3	yes	—
59	C₃₇×#555	C₂²	1	6	yes	—
60	C₃₇×#555	C₂²	1	6	yes	—
61	C₃₇×#554	C₂²	1	3	yes	—
62	C₃₇×#554	C₂²	1	6	yes	—
63	C₃₇×#554	C₂²	1	6	yes	—
64	C₃₇×#554	C₂²	1	6	yes	—
65	C₃₇×#553	C₂²	1	3	yes	—
66	C₃₇×#553	C₂²	1	3	yes	—
67	C₃₇×#553	C₂²	1	6	yes	—
68	C₃₇×#553	C₂²	1	6	yes	—
69	C₃₇×#552	C₂²	1	6	yes	—
70	C₃₇×#552	C₂²	1	6	yes	—
71	C₃₇×#552	C₂²	1	6	yes	—
72	C₃₇×#552	C₂²	1	6	yes	—
73	C₃₇×#552	C₂²	1	6	yes	—
74	C₃₇×#552	C₂²	1	6	yes	—
75	C₃₇×#552	C₂²	1	12	yes	—
76	C₃₇×#552	C₂²	1	6	yes	—
77	C₃₇×#550	C₂²	1	1	yes	characteristic
78	D₄×Q₈×C₃₇	C₂²	1	3	yes	—
79	D₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic
80	D₄×Q₈×C₃₇	C₂²	1	3	yes	—
81	D₄×Q₈×C₃₇	C₂²	1	3	yes	—
82	D₄×Q₈×C₃₇	C₂²	1	2	yes	—
83	D₄×Q₈×C₃₇	C₂²	1	6	yes	—
84	C₃₇×#548	C₂²	1	1	yes	characteristic
85	C₃₇×#548	C₂²	1	1	yes	characteristic
86	C₃₇×#548	C₂²	1	2	yes	—
87	C₃₇×#548	C₂²	1	2	yes	—
88	C₃₇×#548	C₂²	1	6	yes	—
89	C₃₇×#547	C₂²	1	3	yes	—
90	C₃₇×#544	C₂²	1	3	yes	—
91	C₃₇×#544	C₂²	1	6	yes	—
92	C₃₇×#544	C₂²	1	6	yes	—
93	C₃₇×#544	C₂²	1	6	yes	—
94	C₃₇×#544	C₂²	1	6	yes	—
95	C₃₇×#542	C₂²	1	1	yes	characteristic
96	C₃₇×#542	C₂²	1	3	yes	—
97	C₃₇×#542	C₂²	1	6	yes	—
98	C₃₇×#542	C₂²	1	6	yes	—
99	C₃₇×#542	C₂²	1	6	yes	—
100	C₃₇×#542	C₂²	1	6	yes	—
101	C₃₇×#542	C₂²	1	6	yes	—
102	C₃₇×#542	C₂²	1	12	yes	—
103	C₃₇×#542	C₂²	1	6	yes	—
104	C₃₇×#542	C₂²	1	12	yes	—
105	C₃₇×#542	C₂²	1	12	yes	—
106	C₃₇×#541	C₂²	1	3	yes	—
107	C₃₇×#541	C₂²	1	3	yes	—
108	C₃₇×#541	C₂²	1	6	yes	—
109	C₃₇×#541	C₂²	1	6	yes	—
110	C₃₇×#541	C₂²	1	6	yes	—
111	C₃₇×#541	C₂²	1	6	yes	—
112	C₃₇×#541	C₂²	1	12	yes	—
113	C₃₇×#541	C₂²	1	12	yes	—
114	C₃₇×#540	C₂²	1	6	yes	—
115	C₃₇×#539	C₂²	1	6	yes	—
116	C₃₇×#539	C₂²	1	6	yes	—
117	C₃₇×#539	C₂²	1	12	yes	—
118	C₃₇×#537	C₂²	1	3	yes	—
119	C₃₇×#536	C₂²	1	3	yes	—
120	C₃₇×#536	C₂²	1	3	yes	—
121	C₃₇×#536	C₂²	1	6	yes	—
122	C₃₇×#533	C₂²	1	3	yes	—
123	C₃₇×#533	C₂²	1	6	yes	—
124	C₃₇×#533	C₂²	1	3	yes	—
125	C₃₇×#533	C₂²	1	3	yes	—
126	C₃₇×#533	C₂²	1	6	yes	—
127	C₃₇×#533	C₂²	1	3	yes	—
128	C₃₇×#533	C₂²	1	3	yes	—
129	C₃₇×#533	C₂²	1	6	yes	—
130	C₃₇×#533	C₂²	1	3	yes	—
131	C₃₇×#533	C₂²	1	3	yes	—
132	C₃₇×#533	C₂²	1	6	yes	—
133	C₃₇×#532	C₂²	1	3	yes	—
134	C₂×C₄⋊Q₈×C₃₇	C₂²	1	3	yes	—
135	C₃₇×#529	C₂²	1	6	yes	—
136	C₃₇×#529	C₂²	1	3	yes	—
137	C₃₇×#529	C₂²	1	6	yes	—
138	C₃₇×#529	C₂²	1	3	yes	—
139	C₃₇×#529	C₂²	1	6	yes	—
140	C₃₇×#529	C₂²	1	3	yes	—
141	C₃₇×#529	C₂²	1	3	yes	—
142	C₃₇×#529	C₂²	1	6	yes	—
143	C₃₇×#529	C₂²	1	6	yes	—
144	C₃₇×#529	C₂²	1	6	yes	—
145	C₃₇×#520	C₂²	1	2	yes	—
146	C₃₇×#519	C₂²	1	2	yes	—
147	C₃₇×#519	C₂²	1	2	yes	—
148	C₃₇×#519	C₂²	1	2	yes	—
149	C₃₇×#519	C₂²	1	6	yes	—
150	C₄×#41×C₃₇	C₂²	1	3	yes	—
151	C₄×#41×C₃₇	C₂²	1	3	yes	—
152	C₄×#41×C₃₇	C₂²	1	1	yes	characteristic
153	C₄×#41×C₃₇	C₂²	1	2	yes	—
154	C₄×#41×C₃₇	C₂²	1	1	yes	characteristic
155	C₂×C₄×Q₈×C₃₇	C₂²	1	3	yes	—
156	C₂×C₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic
157	C₂×C₄×Q₈×C₃₇	C₂²	1	2	yes	—
158	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
159	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
160	C₂×#41×C₃₇	C₂³	1	3	yes	—
161	C₂×#41×C₃₇	C₂³	1	3	yes	—
162	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
163	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
164	C₂²×Q₈×C₃₇	C₂³	1	6	yes	—
165	C₂²×Q₈×C₃₇	C₂³	1	3	yes	—
166	C₄⋊Q₈×C₃₇	C₂³	1	3	yes	—
167	C₄⋊Q₈×C₃₇	C₂³	1	3	yes	—
168	C₄⋊Q₈×C₃₇	C₂³	1	3	yes	—
169	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
170	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
171	C₄⋊Q₈×C₃₇	C₂³	1	3	yes	—
172	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
173	C₄⋊Q₈×C₃₇	C₂³	1	3	yes	—
174	C₄⋊Q₈×C₃₇	C₂³	1	3	yes	—
175	C₄⋊Q₈×C₃₇	C₂³	1	3	yes	—
176	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
177	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
178	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
179	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
180	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
181	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
182	C₄⋊Q₈×C₃₇	C₂³	1	3	yes	—
183	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
184	C₄⋊Q₈×C₃₇	C₂³	1	6	yes	—
185	C₄⋊Q₈×C₃₇	C₂³	1	12	yes	—
186	C₄⋊Q₈×C₃₇	C₂³	1	12	yes	—
187	C₄⋊Q₈×C₃₇	C₂³	1	12	yes	—
188	#127×C₃₇	C₂³	1	3	yes	—
189	#126×C₃₇	C₂³	1	6	yes	—
190	#126×C₃₇	C₂³	1	2	yes	—
191	#126×C₃₇	C₂³	1	6	yes	—
192	#126×C₃₇	C₂³	1	6	yes	—
193	#126×C₃₇	C₂³	1	6	yes	—
194	#126×C₃₇	C₂³	1	6	yes	—
195	#126×C₃₇	C₂³	1	6	yes	—
196	#126×C₃₇	C₂³	1	6	yes	—
197	#126×C₃₇	C₂³	1	6	yes	—
198	#126×C₃₇	C₂³	1	12	yes	—
199	#126×C₃₇	C₂³	1	6	yes	—
200	#126×C₃₇	C₂³	1	12	yes	—
201	#126×C₃₇	C₂³	1	12	yes	—
202	#126×C₃₇	C₂³	1	12	yes	—
203	#126×C₃₇	C₂³	1	12	yes	—
204	#126×C₃₇	C₂³	1	12	yes	—
205	#126×C₃₇	C₂³	1	12	yes	—
206	#126×C₃₇	C₂³	1	12	yes	—
207	#125×C₃₇	C₂³	1	6	yes	—
208	#125×C₃₇	C₂³	1	3	yes	—
209	#125×C₃₇	C₂³	1	6	yes	—
210	#125×C₃₇	C₂³	1	3	yes	—
211	#125×C₃₇	C₂³	1	6	yes	—
212	#125×C₃₇	C₂³	1	6	yes	—
213	#125×C₃₇	C₂³	1	3	yes	—
214	#125×C₃₇	C₂³	1	6	yes	—
215	#125×C₃₇	C₂³	1	3	yes	—
216	#125×C₃₇	C₂³	1	6	yes	—
217	#125×C₃₇	C₂³	1	6	yes	—
218	#125×C₃₇	C₂³	1	6	yes	—
219	#125×C₃₇	C₂³	1	6	yes	—
220	#125×C₃₇	C₂³	1	6	yes	—
221	#125×C₃₇	C₂³	1	6	yes	—
222	#125×C₃₇	C₂³	1	6	yes	—
223	#125×C₃₇	C₂³	1	6	yes	—
224	#125×C₃₇	C₂³	1	6	yes	—
225	#125×C₃₇	C₂³	1	6	yes	—
226	#125×C₃₇	C₂³	1	12	yes	—
227	#125×C₃₇	C₂³	1	12	yes	—
228	#125×C₃₇	C₂³	1	12	yes	—
229	#125×C₃₇	C₂³	1	12	yes	—
230	#125×C₃₇	C₂³	1	12	yes	—
231	#124×C₃₇	C₂³	1	1	yes	characteristic
232	#124×C₃₇	C₂³	1	2	yes	—
233	#124×C₃₇	C₂³	1	3	yes	—
234	#124×C₃₇	C₂³	1	6	yes	—
235	#124×C₃₇	C₂³	1	3	yes	—
236	#124×C₃₇	C₂³	1	6	yes	—
237	#124×C₃₇	C₂³	1	6	yes	—
238	#124×C₃₇	C₂³	1	3	yes	—
239	#124×C₃₇	C₂³	1	6	yes	—
240	#124×C₃₇	C₂³	1	6	yes	—
241	#124×C₃₇	C₂³	1	12	yes	—
242	#124×C₃₇	C₂³	1	12	yes	—
243	#124×C₃₇	C₂³	1	12	yes	—
244	#124×C₃₇	C₂³	1	12	yes	—
245	#123×C₃₇	C₂³	1	2	yes	—
246	#123×C₃₇	C₂³	1	6	yes	—
247	#123×C₃₇	C₂³	1	6	yes	—
248	#123×C₃₇	C₂³	1	6	yes	—
249	#123×C₃₇	C₂³	1	6	yes	—
250	#123×C₃₇	C₂³	1	6	yes	—
251	#123×C₃₇	C₂³	1	6	yes	—
252	#123×C₃₇	C₂³	1	6	yes	—
253	#123×C₃₇	C₂³	1	12	yes	—
254	#123×C₃₇	C₂³	1	6	yes	—
255	#123×C₃₇	C₂³	1	12	yes	—
256	#123×C₃₇	C₂³	1	6	yes	—
257	#123×C₃₇	C₂³	1	12	yes	—
258	#123×C₃₇	C₂³	1	12	yes	—
259	C₂²⋊Q₈×C₃₇	C₂³	1	3	yes	—
260	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
261	C₂²⋊Q₈×C₃₇	C₂³	1	3	yes	—
262	C₂²⋊Q₈×C₃₇	C₂³	1	3	yes	—
263	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
264	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
265	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
266	C₂²⋊Q₈×C₃₇	C₂³	1	3	yes	—
267	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
268	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
269	C₂²⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
270	C₂²⋊Q₈×C₃₇	C₂³	1	3	yes	—
271	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
272	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
273	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
274	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
275	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
276	C₂²⋊Q₈×C₃₇	C₂³	1	3	yes	—
277	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
278	C₂²⋊Q₈×C₃₇	C₂³	1	3	yes	—
279	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
280	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
281	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
282	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
283	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
284	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
285	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
286	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
287	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
288	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
289	C₂²⋊Q₈×C₃₇	C₂³	1	6	yes	—
290	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
291	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
292	C₂²⋊Q₈×C₃₇	C₂³	1	12	yes	—
293	#121×C₃₇	C₂³	1	1	yes	characteristic
294	#121×C₃₇	C₂³	1	3	yes	—
295	#121×C₃₇	C₂³	1	6	yes	—
296	#121×C₃₇	C₂³	1	6	yes	—
297	#121×C₃₇	C₂³	1	3	yes	—
298	#121×C₃₇	C₂³	1	6	yes	—
299	#121×C₃₇	C₂³	1	6	yes	—
300	#121×C₃₇	C₂³	1	6	yes	—
301	#121×C₃₇	C₂³	1	3	yes	—
302	#121×C₃₇	C₂³	1	3	yes	—
303	#121×C₃₇	C₂³	1	3	yes	—
304	#121×C₃₇	C₂³	1	6	yes	—
305	#121×C₃₇	C₂³	1	12	yes	—
306	C₄×Q₈×C₃₇	C₂³	1	3	yes	—
307	C₄×Q₈×C₃₇	C₂³	1	3	yes	—
308	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
309	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
310	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
311	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
312	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
313	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
314	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
315	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
316	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
317	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
318	C₄×Q₈×C₃₇	C₂³	1	12	yes	—
319	C₄×Q₈×C₃₇	C₂³	1	12	yes	—
320	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
321	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
322	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
323	C₄×Q₈×C₃₇	C₂³	1	3	yes	—
324	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
325	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
326	C₄×Q₈×C₃₇	C₂³	1	3	yes	—
327	C₄×Q₈×C₃₇	C₂³	1	3	yes	—
328	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
329	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
330	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
331	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
332	C₄×Q₈×C₃₇	C₂³	1	3	yes	—
333	C₄×Q₈×C₃₇	C₂³	1	3	yes	—
334	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
335	C₄×Q₈×C₃₇	C₂³	1	12	yes	—
336	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
337	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
338	C₄×Q₈×C₃₇	C₂³	1	3	yes	—
339	C₄×Q₈×C₃₇	C₂³	1	3	yes	—
340	C₄×Q₈×C₃₇	C₂³	1	6	yes	—
341	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
343	C₄×D₄×C₃₇	C₂³	1	6	yes	—
344	C₄×D₄×C₃₇	C₂³	1	6	yes	—
345	C₄×D₄×C₃₇	C₂³	1	6	yes	—
346	C₄×D₄×C₃₇	C₂³	1	6	yes	—
347	C₄×D₄×C₃₇	C₂³	1	6	yes	—
348	C₄×D₄×C₃₇	C₂³	1	6	yes	—
349	C₄×D₄×C₃₇	C₂³	1	3	yes	—
350	C₄×D₄×C₃₇	C₂³	1	3	yes	—
351	C₄×D₄×C₃₇	C₂³	1	6	yes	—
352	C₄×D₄×C₃₇	C₂³	1	3	yes	—
353	C₄×D₄×C₃₇	C₂³	1	3	yes	—
354	C₄×D₄×C₃₇	C₂³	1	3	yes	—
355	C₄×D₄×C₃₇	C₂³	1	3	yes	—
356	C₄×D₄×C₃₇	C₂³	1	3	yes	—
357	C₄×D₄×C₃₇	C₂³	1	12	yes	—
358	C₄×D₄×C₃₇	C₂³	1	12	yes	—
359	C₄×D₄×C₃₇	C₂³	1	3	yes	—
360	C₄×D₄×C₃₇	C₂³	1	3	yes	—
361	C₄×D₄×C₃₇	C₂³	1	6	yes	—
362	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₃₇	C₂³	1	6	yes	—
364	C₄×D₄×C₃₇	C₂³	1	3	yes	—
365	C₄×D₄×C₃₇	C₂³	1	3	yes	—
366	#117×C₃₇	C₂³	1	3	yes	—
367	#117×C₃₇	C₂³	1	6	yes	—
368	#117×C₃₇	C₂³	1	6	yes	—
369	#117×C₃₇	C₂³	1	6	yes	—
370	#117×C₃₇	C₂³	1	12	yes	—
371	#117×C₃₇	C₂³	1	12	yes	—
372	#117×C₃₇	C₂³	1	6	yes	—
373	#117×C₃₇	C₂³	1	6	yes	—
374	#117×C₃₇	C₂³	1	6	yes	—
375	#117×C₃₇	C₂³	1	6	yes	—
376	#117×C₃₇	C₂³	1	6	yes	—
377	#117×C₃₇	C₂³	1	6	yes	—
378	#117×C₃₇	C₂³	1	3	yes	—
379	#117×C₃₇	C₂³	1	3	yes	—
380	#117×C₃₇	C₂³	1	6	yes	—
381	#117×C₃₇	C₂³	1	12	yes	—
382	#117×C₃₇	C₂³	1	6	yes	—
383	#117×C₃₇	C₂³	1	3	yes	—
384	#117×C₃₇	C₂³	1	1	yes	characteristic
385	#117×C₃₇	C₂³	1	6	yes	—
386	#117×C₃₇	C₂³	1	3	yes	—
387	C₂×C₄⋊C₄×C₃₇	C₂³	1	6	yes	—
388	C₂×C₄⋊C₄×C₃₇	C₂³	1	6	yes	—
389	C₂×C₄⋊C₄×C₃₇	C₂³	1	3	yes	—
390	C₂×C₄⋊C₄×C₃₇	C₂³	1	6	yes	—
391	C₂×C₄⋊C₄×C₃₇	C₂³	1	6	yes	—
392	C₂×C₄⋊C₄×C₃₇	C₂³	1	3	yes	—
393	C₂×C₄²×C₃₇	C₂³	1	6	yes	—
394	C₂×C₄²×C₃₇	C₂³	1	6	yes	—
395	C₂×C₄²×C₃₇	C₂³	1	3	yes	—
396	C₂×C₄²×C₃₇	C₂³	1	3	yes	—
397	C₂×C₄²×C₃₇	C₂³	1	3	yes	—
398	#41×C₃₇	—	2	4	no	—
399	#41×C₃₇	—	2	4	no	—
400	#41×C₃₇	—	4	6	no	—
401	#41×C₃₇	—	4	6	no	—
402	C₂×Q₈×C₃₇	—	2	4	no	—
403	C₂×Q₈×C₃₇	—	2	8	no	—
404	C₂×Q₈×C₃₇	—	4	12	no	—
405	C₂×Q₈×C₃₇	—	4	6	no	—
406	C₂×Q₈×C₃₇	C₂⁴	1	3	yes	—
407	C₂×Q₈×C₃₇	C₂⁴	1	6	yes	—
408	C₂×Q₈×C₃₇	C₂⁴	1	3	yes	—
409	C₂×Q₈×C₃₇	C₂⁴	1	1	yes	characteristic
410	C₂×Q₈×C₃₇	C₂⁴	1	3	yes	—
411	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
412	C₂×Q₈×C₃₇	C₂⁴	1	6	yes	—
413	C₂×Q₈×C₃₇	C₂⁴	1	6	yes	—
414	C₂×Q₈×C₃₇	C₂⁴	1	6	yes	—
415	C₂×Q₈×C₃₇	C₂⁴	1	12	yes	—
416	C₂×Q₈×C₃₇	C₂⁴	1	3	yes	—
417	C₂×Q₈×C₃₇	C₂⁴	1	1	yes	characteristic
418	C₂×D₄×C₃₇	C₂⁴	1	3	yes	—
419	C₂×D₄×C₃₇	C₂⁴	1	3	yes	—
420	C₂×D₄×C₃₇	C₂⁴	1	1	yes	characteristic
421	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
422	C₂×D₄×C₃₇	C₂⁴	1	6	yes	—
423	C₂×D₄×C₃₇	C₂⁴	1	6	yes	—
424	C₂×D₄×C₃₇	C₂⁴	1	6	yes	—
425	C₂×D₄×C₃₇	C₂⁴	1	3	yes	—
426	C₂×D₄×C₃₇	C₂⁴	1	3	yes	—
427	C₂×D₄×C₃₇	C₂⁴	1	3	yes	—
428	C₂²×C₄×C₃₇	C₂⁴	1	3	yes	—
429	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₃₇	C₂⁴	1	3	yes	—
431	C₂²×C₄×C₃₇	C₂⁴	1	6	yes	—
432	C₂²×C₄×C₃₇	C₂⁴	1	3	yes	—
433	C₂²×C₄×C₃₇	C₂⁴	1	3	yes	—
434	C₂²×C₄×C₃₇	C₂⁴	1	3	yes	—
435	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
436	C₂²×C₄×C₃₇	C₂⁴	1	3	yes	—
437	C₂²×C₄×C₃₇	C₂⁴	1	6	yes	—
438	C₂²×C₄×C₃₇	C₂⁴	1	3	yes	—
439	C₂²×C₄×C₃₇	C₂⁴	1	6	yes	—
440	C₂²×C₄×C₃₇	C₂⁴	1	3	yes	—
441	C₂²×C₄×C₃₇	C₂⁴	1	6	yes	—
442	C₂²×C₄×C₃₇	C₂⁴	1	12	yes	—
443	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
444	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
445	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
446	C₄⋊C₄×C₃₇	C₂⁴	1	3	yes	—
447	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
448	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
449	C₄⋊C₄×C₃₇	C₂⁴	1	3	yes	—
450	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
451	C₄⋊C₄×C₃₇	C₂⁴	1	3	yes	—
452	C₄⋊C₄×C₃₇	C₂⁴	1	3	yes	—
453	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
454	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
455	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
456	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
457	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
458	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
459	C₄⋊C₄×C₃₇	C₂⁴	1	12	yes	—
460	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
461	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
462	C₄⋊C₄×C₃₇	C₂⁴	1	3	yes	—
463	C₄⋊C₄×C₃₇	C₂⁴	1	3	yes	—
464	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
465	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
466	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
467	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
468	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
469	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
470	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
471	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
472	C₄⋊C₄×C₃₇	C₂⁴	1	3	yes	—
473	C₄⋊C₄×C₃₇	C₂⁴	1	3	yes	—
474	C₄⋊C₄×C₃₇	C₂⁴	1	3	yes	—
475	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
476	C₄⋊C₄×C₃₇	C₂⁴	1	3	yes	—
477	C₄⋊C₄×C₃₇	C₂⁴	1	12	yes	—
478	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
479	C₄⋊C₄×C₃₇	C₂⁴	1	12	yes	—
480	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
481	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
482	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
483	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
484	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
485	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
486	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
487	C₄⋊C₄×C₃₇	C₂⁴	1	12	yes	—
488	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
489	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
490	C₄⋊C₄×C₃₇	C₂⁴	1	6	yes	—
491	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
492	C₂²⋊C₄×C₃₇	C₂⁴	1	3	yes	—
493	C₂²⋊C₄×C₃₇	C₂⁴	1	3	yes	—
494	C₂²⋊C₄×C₃₇	C₂⁴	1	2	yes	—
495	C₂²⋊C₄×C₃₇	C₂⁴	1	2	yes	—
496	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
497	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
498	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
499	C₂²⋊C₄×C₃₇	C₂⁴	1	12	yes	—
500	C₂²⋊C₄×C₃₇	C₂⁴	1	2	yes	—
501	C₂²⋊C₄×C₃₇	C₂⁴	1	2	yes	—
502	C₂²⋊C₄×C₃₇	C₂⁴	1	12	yes	—
503	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
504	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
505	C₂²⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
506	C₂²⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
507	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
508	C₂²⋊C₄×C₃₇	C₂⁴	1	3	yes	—
509	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
510	C₂²⋊C₄×C₃₇	C₂⁴	1	12	yes	—
511	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
512	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
513	C₂²⋊C₄×C₃₇	C₂⁴	1	3	yes	—
514	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
515	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
516	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
517	C₂²⋊C₄×C₃₇	C₂⁴	1	2	yes	—
518	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
519	C₂²⋊C₄×C₃₇	C₂⁴	1	6	yes	—
520	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
521	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
522	C₄²×C₃₇	C₂⁴	1	3	yes	—
523	C₄²×C₃₇	C₂⁴	1	3	yes	—
524	C₄²×C₃₇	C₂⁴	1	2	yes	—
525	C₄²×C₃₇	C₂⁴	1	3	yes	—
526	C₄²×C₃₇	C₂⁴	1	6	yes	—
527	C₄²×C₃₇	C₂⁴	1	6	yes	—
528	C₄²×C₃₇	C₂⁴	1	6	yes	—
529	C₄²×C₃₇	C₂⁴	1	3	yes	—
530	C₄²×C₃₇	C₂⁴	1	6	yes	—
531	C₄²×C₃₇	C₂⁴	1	6	yes	—
532	C₄²×C₃₇	C₂⁴	1	3	yes	—
533	C₄²×C₃₇	C₂⁴	1	3	yes	—
534	C₄²×C₃₇	C₂⁴	1	3	yes	—
535	C₄²×C₃₇	C₂⁴	1	6	yes	—
536	C₄²×C₃₇	C₂⁴	1	3	yes	—
537	C₄²×C₃₇	C₂⁴	1	12	yes	—
538	C₄²×C₃₇	C₂⁴	1	12	yes	—
539	C₄²×C₃₇	C₂⁴	1	12	yes	—
540	C₂³×C₃₇	C₂⁵	1	1	yes	characteristic
541	C₂³×C₃₇	C₂⁵	1	2	yes	—
542	C₂³×C₃₇	C₂⁵	1	3	yes	—
543	C₂³×C₃₇	C₂⁵	1	3	yes	—
544	Q₈×C₃₇	—	2	6	no	—
545	Q₈×C₃₇	—	2	12	no	—
546	Q₈×C₃₇	—	2	6	no	—
547	Q₈×C₃₇	—	2	2	no	—
548	Q₈×C₃₇	—	2	6	no	—
549	Q₈×C₃₇	—	4	6	no	—
550	Q₈×C₃₇	—	4	12	no	—
551	Q₈×C₃₇	—	4	2	no	—
552	Q₈×C₃₇	—	4	6	no	—
553	Q₈×C₃₇	—	4	6	no	—
554	Q₈×C₃₇	—	4	3	no	—
555	Q₈×C₃₇	2₋¹⁺⁴	1	4	yes	—
556	D₄×C₃₇	—	2	6	no	—
557	D₄×C₃₇	—	2	6	no	—
558	D₄×C₃₇	—	2	2	no	—
559	D₄×C₃₇	—	4	2	no	—
560	D₄×C₃₇	—	4	6	no	—
561	D₄×C₃₇	—	4	6	no	—
562	D₄×C₃₇	—	4	3	no	—
563	D₄×C₃₇	—	4	3	no	—
564	D₄×C₃₇	—	4	3	no	—
565	D₄×C₃₇	—	4	6	no	—
566	C₂×C₄×C₃₇	—	2	12	no	—
567	C₂×C₄×C₃₇	—	2	6	no	—
568	C₂×C₄×C₃₇	—	2	6	no	—
569	C₂×C₄×C₃₇	—	2	6	no	—
570	C₂×C₄×C₃₇	—	2	6	no	—
571	C₂×C₄×C₃₇	—	2	6	no	—
572	C₂×C₄×C₃₇	—	2	2	no	—
573	C₂×C₄×C₃₇	—	4	3	no	—
574	C₂×C₄×C₃₇	—	4	2	no	—
575	C₂×C₄×C₃₇	—	4	6	no	—
576	C₂×C₄×C₃₇	—	4	3	no	—
577	C₂×C₄×C₃₇	—	4	3	no	—
578	C₂×C₄×C₃₇	—	4	12	no	—
579	C₂×C₄×C₃₇	—	4	6	no	—
580	C₂×C₄×C₃₇	—	4	6	no	—
581	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
582	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
583	C₂×C₄×C₃₇	C₂⁵	1	6	yes	—
584	C₂×C₄×C₃₇	C₂⁵	1	3	yes	—
585	C₂×C₄×C₃₇	C₂⁵	1	2	yes	—
586	C₂×C₄×C₃₇	C₂⁵	1	6	yes	—
587	C₂×C₄×C₃₇	C₂⁵	1	3	yes	—
588	C₂×C₄×C₃₇	C₂⁵	1	3	yes	—
589	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
590	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
591	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
592	C₂×C₄×C₃₇	C₂⁵	1	3	yes	—
593	C₂×C₄×C₃₇	C₂⁵	1	2	yes	—
594	C₂×C₄×C₃₇	C₂⁵	1	6	yes	—
595	C₂×C₄×C₃₇	C₂⁵	1	2	yes	—
596	C₂×C₄×C₃₇	C₂⁵	1	3	yes	—
597	C₂×C₄×C₃₇	C₂⁵	1	6	yes	—
598	C₂×C₄×C₃₇	C₂⁵	1	3	yes	—
599	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
600	#62953	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
601	C₂²×C₃₇	—	2	1	no	—
602	C₂²×C₃₇	—	2	2	no	—
603	C₂²×C₃₇	—	2	3	no	—
604	C₂²×C₃₇	—	2	3	no	—
605	C₂²×C₃₇	—	2	3	no	—
606	C₂²×C₃₇	—	2	3	no	—
607	C₂²×C₃₇	—	2	1	no	—
608	C₂²×C₃₇	—	2	2	no	—
609	C₂²×C₃₇	—	2	1	no	—
610	C₂²×C₃₇	—	2	3	no	—
611	C₂²×C₃₇	—	2	2	no	—
612	C₂²×C₃₇	—	2	3	no	—
613	C₂²×C₃₇	C₂⁶	1	1	yes	characteristic
614	C₄×C₃₇	—	2	1	no	—
615	C₄×C₃₇	—	2	1	no	—
616	C₄×C₃₇	—	2	6	no	—
617	C₄×C₃₇	—	2	3	no	—
618	C₄×C₃₇	—	2	3	no	—
619	C₄×C₃₇	—	2	1	no	—
620	C₄×C₃₇	—	2	3	no	—
621	C₄×C₃₇	—	2	6	no	—
622	C₄×C₃₇	—	2	6	no	—
623	C₄×C₃₇	—	2	2	no	—
624	C₄×C₃₇	—	2	1	no	—
625	C₄×C₃₇	—	2	2	no	—
626	C₄×C₃₇	—	2	3	no	—
627	C₄×C₃₇	—	2	1	no	—
628	C₄×C₃₇	—	2	3	no	—
629	C₄×C₃₇	—	2	6	no	—
630	C₄×C₃₇	—	2	2	no	—
631	C₄×C₃₇	C₂×2₋¹⁺⁴	1	6	yes	—
632	C₄×C₃₇	#585	1	2	yes	—
633	#3565	C₂×C₃₇	1	6	yes	complemented
634	#3565	C₂×C₃₇	1	6	yes	complemented
635	#3557	C₂×C₃₇	1	6	yes	complemented
636	#3555	C₂×C₃₇	1	6	yes	complemented
637	#3555	C₂×C₃₇	1	3	yes	complemented
638	#3552	C₂×C₃₇	1	3	yes	complemented
639	#3550	C₂×C₃₇	1	3	yes	complemented
640	#3547	C₂×C₃₇	1	3	yes	complemented
641	#3524	C₂×C₃₇	1	2	yes	complemented
642	#3523	C₂×C₃₇	1	3	yes	complemented
643	#3523	C₂×C₃₇	1	1	yes	characteristic, complemented
644	#3518	C₂×C₃₇	1	3	yes	complemented
645	#3518	C₂×C₃₇	1	2	yes	complemented
646	#3518	C₂×C₃₇	1	1	yes	characteristic, complemented
647	#3516	C₂×C₃₇	1	2	yes	complemented
648	#3509	C₂×C₃₇	1	3	yes	complemented
649	#3503	C₂×C₃₇	1	1	yes	characteristic, complemented
650	#3502	C₂×C₃₇	1	1	yes	characteristic, complemented
651	#3502	C₂×C₃₇	1	2	yes	complemented
652	#3482	C₂×C₃₇	1	1	yes	characteristic, complemented
653	#3480	C₂×C₃₇	1	1	yes	characteristic, complemented
654	Q₈×#41	C₂×C₃₇	1	1	yes	characteristic, complemented
655	#3461	C₂×C₃₇	1	3	yes	complemented
656	C₂×C₃₇	—	4	1	no	—
657	C₂×C₃₇	—	4	2	no	—
658	C₂×C₃₇	—	4	3	no	—
659	C₂×C₃₇	—	4	3	no	—
660	C₂×C₃₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
661	C₂×C₃₇	C₂×#585	1	1	yes	characteristic
662	C₂×C₃₇	2₋¹⁺⁶	1	1	yes	characteristic
663	#563	C₂²×C₃₇	1	12	yes	—
664	#563	C₂²×C₃₇	1	12	yes	—
665	#563	C₂²×C₃₇	1	12	yes	—
666	#562	C₂²×C₃₇	1	12	yes	—
667	#559	C₂²×C₃₇	1	3	yes	—
668	#559	C₂²×C₃₇	1	6	yes	—
669	Q₈²	C₂²×C₃₇	1	1	yes	characteristic
670	Q₈²	C₂²×C₃₇	1	2	yes	—
671	Q₈²	C₂²×C₃₇	1	3	yes	—
672	Q₈²	C₂²×C₃₇	1	6	yes	—
673	#557	C₂²×C₃₇	1	2	yes	—
674	#557	C₂²×C₃₇	1	1	yes	characteristic
675	#557	C₂²×C₃₇	1	1	yes	characteristic
676	#557	C₂²×C₃₇	1	1	yes	characteristic
677	#557	C₂²×C₃₇	1	2	yes	—
678	#557	C₂²×C₃₇	1	6	yes	—
679	#557	C₂²×C₃₇	1	3	yes	—
680	#557	C₂²×C₃₇	1	6	yes	—
681	#557	C₂²×C₃₇	1	6	yes	—
682	#557	C₂²×C₃₇	1	6	yes	—
683	#557	C₂²×C₃₇	1	6	yes	—
684	#557	C₂²×C₃₇	1	3	yes	—
685	#556	C₂²×C₃₇	1	3	yes	—
686	#556	C₂²×C₃₇	1	3	yes	—
687	#556	C₂²×C₃₇	1	6	yes	—
688	#556	C₂²×C₃₇	1	6	yes	—
689	#556	C₂²×C₃₇	1	6	yes	—
690	#556	C₂²×C₃₇	1	6	yes	—
691	#556	C₂²×C₃₇	1	3	yes	—
692	#556	C₂²×C₃₇	1	3	yes	—
693	#556	C₂²×C₃₇	1	6	yes	—
694	#556	C₂²×C₃₇	1	6	yes	—
695	#556	C₂²×C₃₇	1	12	yes	—
696	#556	C₂²×C₃₇	1	6	yes	—
697	#555	C₂²×C₃₇	1	3	yes	—
698	#555	C₂²×C₃₇	1	6	yes	—
699	#555	C₂²×C₃₇	1	6	yes	—
700	#554	C₂²×C₃₇	1	3	yes	—
701	#554	C₂²×C₃₇	1	6	yes	—
702	#554	C₂²×C₃₇	1	6	yes	—
703	#554	C₂²×C₃₇	1	6	yes	—
704	#553	C₂²×C₃₇	1	3	yes	—
705	#553	C₂²×C₃₇	1	3	yes	—
706	#553	C₂²×C₃₇	1	6	yes	—
707	#553	C₂²×C₃₇	1	6	yes	—
708	#552	C₂²×C₃₇	1	6	yes	—
709	#552	C₂²×C₃₇	1	6	yes	—
710	#552	C₂²×C₃₇	1	6	yes	—
711	#552	C₂²×C₃₇	1	6	yes	—
712	#552	C₂²×C₃₇	1	6	yes	—
713	#552	C₂²×C₃₇	1	6	yes	—
714	#552	C₂²×C₃₇	1	12	yes	—
715	#552	C₂²×C₃₇	1	6	yes	—
716	#550	C₂²×C₃₇	1	1	yes	characteristic
717	D₄×Q₈	C₂²×C₃₇	1	3	yes	—
718	D₄×Q₈	C₂²×C₃₇	1	1	yes	characteristic
719	D₄×Q₈	C₂²×C₃₇	1	3	yes	—
720	D₄×Q₈	C₂²×C₃₇	1	3	yes	—
721	D₄×Q₈	C₂²×C₃₇	1	2	yes	—
722	D₄×Q₈	C₂²×C₃₇	1	6	yes	—
723	#548	C₂²×C₃₇	1	1	yes	characteristic
724	#548	C₂²×C₃₇	1	1	yes	characteristic
725	#548	C₂²×C₃₇	1	2	yes	—
726	#548	C₂²×C₃₇	1	2	yes	—
727	#548	C₂²×C₃₇	1	6	yes	—
728	#547	C₂²×C₃₇	1	3	yes	—
729	#544	C₂²×C₃₇	1	3	yes	—
730	#544	C₂²×C₃₇	1	6	yes	—
731	#544	C₂²×C₃₇	1	6	yes	—
732	#544	C₂²×C₃₇	1	6	yes	—
733	#544	C₂²×C₃₇	1	6	yes	—
734	#542	C₂²×C₃₇	1	1	yes	characteristic
735	#542	C₂²×C₃₇	1	3	yes	—
736	#542	C₂²×C₃₇	1	6	yes	—
737	#542	C₂²×C₃₇	1	6	yes	—
738	#542	C₂²×C₃₇	1	6	yes	—
739	#542	C₂²×C₃₇	1	6	yes	—
740	#542	C₂²×C₃₇	1	6	yes	—
741	#542	C₂²×C₃₇	1	12	yes	—
742	#542	C₂²×C₃₇	1	6	yes	—
743	#542	C₂²×C₃₇	1	12	yes	—
744	#542	C₂²×C₃₇	1	12	yes	—
745	#541	C₂²×C₃₇	1	3	yes	—
746	#541	C₂²×C₃₇	1	3	yes	—
747	#541	C₂²×C₃₇	1	6	yes	—
748	#541	C₂²×C₃₇	1	6	yes	—
749	#541	C₂²×C₃₇	1	6	yes	—
750	#541	C₂²×C₃₇	1	6	yes	—
751	#541	C₂²×C₃₇	1	12	yes	—
752	#541	C₂²×C₃₇	1	12	yes	—
753	#540	C₂²×C₃₇	1	6	yes	—
754	#539	C₂²×C₃₇	1	6	yes	—
755	#539	C₂²×C₃₇	1	6	yes	—
756	#539	C₂²×C₃₇	1	12	yes	—
757	#537	C₂²×C₃₇	1	3	yes	—
758	#536	C₂²×C₃₇	1	3	yes	—
759	#536	C₂²×C₃₇	1	3	yes	—
760	#536	C₂²×C₃₇	1	6	yes	—
761	#533	C₂²×C₃₇	1	3	yes	—
762	#533	C₂²×C₃₇	1	6	yes	—
763	#533	C₂²×C₃₇	1	3	yes	—
764	#533	C₂²×C₃₇	1	3	yes	—
765	#533	C₂²×C₃₇	1	6	yes	—
766	#533	C₂²×C₃₇	1	3	yes	—
767	#533	C₂²×C₃₇	1	3	yes	—
768	#533	C₂²×C₃₇	1	6	yes	—
769	#533	C₂²×C₃₇	1	3	yes	—
770	#533	C₂²×C₃₇	1	3	yes	—
771	#533	C₂²×C₃₇	1	6	yes	—
772	#532	C₂²×C₃₇	1	3	yes	—
773	C₂×C₄⋊Q₈	C₂²×C₃₇	1	3	yes	—
774	#529	C₂²×C₃₇	1	6	yes	—
775	#529	C₂²×C₃₇	1	3	yes	—
776	#529	C₂²×C₃₇	1	6	yes	—
777	#529	C₂²×C₃₇	1	3	yes	—
778	#529	C₂²×C₃₇	1	6	yes	—
779	#529	C₂²×C₃₇	1	3	yes	—
780	#529	C₂²×C₃₇	1	3	yes	—
781	#529	C₂²×C₃₇	1	6	yes	—
782	#529	C₂²×C₃₇	1	6	yes	—
783	#529	C₂²×C₃₇	1	6	yes	—
784	#520	C₂²×C₃₇	1	2	yes	—
785	#519	C₂²×C₃₇	1	2	yes	—
786	#519	C₂²×C₃₇	1	2	yes	—
787	#519	C₂²×C₃₇	1	2	yes	—
788	#519	C₂²×C₃₇	1	6	yes	—
789	C₄×#41	C₂²×C₃₇	1	3	yes	—
790	C₄×#41	C₂²×C₃₇	1	3	yes	—
791	C₄×#41	C₂²×C₃₇	1	1	yes	characteristic
792	C₄×#41	C₂²×C₃₇	1	2	yes	—
793	C₄×#41	C₂²×C₃₇	1	1	yes	characteristic
794	C₂×C₄×Q₈	C₂²×C₃₇	1	3	yes	—
795	C₂×C₄×Q₈	C₂²×C₃₇	1	1	yes	characteristic
796	C₂×C₄×Q₈	C₂²×C₃₇	1	2	yes	—
797	C₃₇	#62953	1	1	yes	characteristic, direct product factor, Sylow
798	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
799	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
800	C₂×#41	C₂³×C₃₇	1	3	yes	—
801	C₂×#41	C₂³×C₃₇	1	3	yes	—
802	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
803	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
804	C₂²×Q₈	C₂³×C₃₇	1	3	yes	—
805	C₂²×Q₈	C₂³×C₃₇	1	6	yes	—
806	C₄⋊Q₈	C₂³×C₃₇	1	3	yes	—
807	C₄⋊Q₈	C₂³×C₃₇	1	3	yes	—
808	C₄⋊Q₈	C₂³×C₃₇	1	3	yes	—
809	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
810	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
811	C₄⋊Q₈	C₂³×C₃₇	1	3	yes	—
812	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
813	C₄⋊Q₈	C₂³×C₃₇	1	3	yes	—
814	C₄⋊Q₈	C₂³×C₃₇	1	3	yes	—
815	C₄⋊Q₈	C₂³×C₃₇	1	3	yes	—
816	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
817	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
818	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
819	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
820	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
821	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
822	C₄⋊Q₈	C₂³×C₃₇	1	3	yes	—
823	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
824	C₄⋊Q₈	C₂³×C₃₇	1	6	yes	—
825	C₄⋊Q₈	C₂³×C₃₇	1	12	yes	—
826	C₄⋊Q₈	C₂³×C₃₇	1	12	yes	—
827	C₄⋊Q₈	C₂³×C₃₇	1	12	yes	—
828	#127	C₂³×C₃₇	1	3	yes	—
829	#126	C₂³×C₃₇	1	6	yes	—
830	#126	C₂³×C₃₇	1	2	yes	—
831	#126	C₂³×C₃₇	1	6	yes	—
832	#126	C₂³×C₃₇	1	6	yes	—
833	#126	C₂³×C₃₇	1	6	yes	—
834	#126	C₂³×C₃₇	1	6	yes	—
835	#126	C₂³×C₃₇	1	6	yes	—
836	#126	C₂³×C₃₇	1	6	yes	—
837	#126	C₂³×C₃₇	1	6	yes	—
838	#126	C₂³×C₃₇	1	12	yes	—
839	#126	C₂³×C₃₇	1	6	yes	—
840	#126	C₂³×C₃₇	1	12	yes	—
841	#126	C₂³×C₃₇	1	12	yes	—
842	#126	C₂³×C₃₇	1	12	yes	—
843	#126	C₂³×C₃₇	1	12	yes	—
844	#126	C₂³×C₃₇	1	12	yes	—
845	#126	C₂³×C₃₇	1	12	yes	—
846	#126	C₂³×C₃₇	1	12	yes	—
847	#125	C₂³×C₃₇	1	6	yes	—
848	#125	C₂³×C₃₇	1	3	yes	—
849	#125	C₂³×C₃₇	1	6	yes	—
850	#125	C₂³×C₃₇	1	3	yes	—
851	#125	C₂³×C₃₇	1	6	yes	—
852	#125	C₂³×C₃₇	1	6	yes	—
853	#125	C₂³×C₃₇	1	3	yes	—
854	#125	C₂³×C₃₇	1	6	yes	—
855	#125	C₂³×C₃₇	1	3	yes	—
856	#125	C₂³×C₃₇	1	6	yes	—
857	#125	C₂³×C₃₇	1	6	yes	—
858	#125	C₂³×C₃₇	1	6	yes	—
859	#125	C₂³×C₃₇	1	6	yes	—
860	#125	C₂³×C₃₇	1	6	yes	—
861	#125	C₂³×C₃₇	1	6	yes	—
862	#125	C₂³×C₃₇	1	6	yes	—
863	#125	C₂³×C₃₇	1	6	yes	—
864	#125	C₂³×C₃₇	1	6	yes	—
865	#125	C₂³×C₃₇	1	6	yes	—
866	#125	C₂³×C₃₇	1	12	yes	—
867	#125	C₂³×C₃₇	1	12	yes	—
868	#125	C₂³×C₃₇	1	12	yes	—
869	#125	C₂³×C₃₇	1	12	yes	—
870	#125	C₂³×C₃₇	1	12	yes	—
871	#124	C₂³×C₃₇	1	1	yes	characteristic
872	#124	C₂³×C₃₇	1	2	yes	—
873	#124	C₂³×C₃₇	1	3	yes	—
874	#124	C₂³×C₃₇	1	6	yes	—
875	#124	C₂³×C₃₇	1	3	yes	—
876	#124	C₂³×C₃₇	1	6	yes	—
877	#124	C₂³×C₃₇	1	6	yes	—
878	#124	C₂³×C₃₇	1	3	yes	—
879	#124	C₂³×C₃₇	1	6	yes	—
880	#124	C₂³×C₃₇	1	6	yes	—
881	#124	C₂³×C₃₇	1	12	yes	—
882	#124	C₂³×C₃₇	1	12	yes	—
883	#124	C₂³×C₃₇	1	12	yes	—
884	#124	C₂³×C₃₇	1	12	yes	—
885	#123	C₂³×C₃₇	1	2	yes	—
886	#123	C₂³×C₃₇	1	6	yes	—
887	#123	C₂³×C₃₇	1	6	yes	—
888	#123	C₂³×C₃₇	1	6	yes	—
889	#123	C₂³×C₃₇	1	6	yes	—
890	#123	C₂³×C₃₇	1	6	yes	—
891	#123	C₂³×C₃₇	1	6	yes	—
892	#123	C₂³×C₃₇	1	6	yes	—
893	#123	C₂³×C₃₇	1	12	yes	—
894	#123	C₂³×C₃₇	1	6	yes	—
895	#123	C₂³×C₃₇	1	12	yes	—
896	#123	C₂³×C₃₇	1	6	yes	—
897	#123	C₂³×C₃₇	1	12	yes	—
898	#123	C₂³×C₃₇	1	12	yes	—
899	C₂²⋊Q₈	C₂³×C₃₇	1	3	yes	—
900	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
901	C₂²⋊Q₈	C₂³×C₃₇	1	3	yes	—
902	C₂²⋊Q₈	C₂³×C₃₇	1	3	yes	—
903	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
904	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
905	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
906	C₂²⋊Q₈	C₂³×C₃₇	1	3	yes	—
907	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
908	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
909	C₂²⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
910	C₂²⋊Q₈	C₂³×C₃₇	1	3	yes	—
911	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
912	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
913	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
914	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
915	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
916	C₂²⋊Q₈	C₂³×C₃₇	1	3	yes	—
917	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
918	C₂²⋊Q₈	C₂³×C₃₇	1	3	yes	—
919	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
920	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
921	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
922	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
923	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
924	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
925	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
926	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
927	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
928	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
929	C₂²⋊Q₈	C₂³×C₃₇	1	6	yes	—
930	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
931	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
932	C₂²⋊Q₈	C₂³×C₃₇	1	12	yes	—
933	#121	C₂³×C₃₇	1	1	yes	characteristic
934	#121	C₂³×C₃₇	1	3	yes	—
935	#121	C₂³×C₃₇	1	6	yes	—
936	#121	C₂³×C₃₇	1	6	yes	—
937	#121	C₂³×C₃₇	1	3	yes	—
938	#121	C₂³×C₃₇	1	6	yes	—
939	#121	C₂³×C₃₇	1	6	yes	—
940	#121	C₂³×C₃₇	1	6	yes	—
941	#121	C₂³×C₃₇	1	3	yes	—
942	#121	C₂³×C₃₇	1	3	yes	—
943	#121	C₂³×C₃₇	1	3	yes	—
944	#121	C₂³×C₃₇	1	6	yes	—
945	#121	C₂³×C₃₇	1	12	yes	—
946	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
947	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
948	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
949	C₄×Q₈	C₂³×C₃₇	1	3	yes	—
950	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
951	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
952	C₄×Q₈	C₂³×C₃₇	1	3	yes	—
953	C₄×Q₈	C₂³×C₃₇	1	3	yes	—
954	C₄×Q₈	C₂³×C₃₇	1	3	yes	—
955	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
956	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
957	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
958	C₄×Q₈	C₂³×C₃₇	1	3	yes	—
959	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
960	C₄×Q₈	C₂³×C₃₇	1	3	yes	—
961	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
962	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
963	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
964	C₄×Q₈	C₂³×C₃₇	1	3	yes	—
965	C₄×Q₈	C₂³×C₃₇	1	3	yes	—
966	C₄×Q₈	C₂³×C₃₇	1	3	yes	—
967	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
968	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
969	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
970	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
971	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
972	C₄×Q₈	C₂³×C₃₇	1	12	yes	—
973	C₄×Q₈	C₂³×C₃₇	1	12	yes	—
974	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
975	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
976	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
977	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
978	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
979	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
980	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
981	C₄×Q₈	C₂³×C₃₇	1	12	yes	—
982	C₄×Q₈	C₂³×C₃₇	1	6	yes	—
983	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
984	C₄×D₄	C₂³×C₃₇	1	6	yes	—
985	C₄×D₄	C₂³×C₃₇	1	3	yes	—
986	C₄×D₄	C₂³×C₃₇	1	3	yes	—
987	C₄×D₄	C₂³×C₃₇	1	6	yes	—
988	C₄×D₄	C₂³×C₃₇	1	3	yes	—
989	C₄×D₄	C₂³×C₃₇	1	3	yes	—
990	C₄×D₄	C₂³×C₃₇	1	3	yes	—
991	C₄×D₄	C₂³×C₃₇	1	3	yes	—
992	C₄×D₄	C₂³×C₃₇	1	3	yes	—
993	C₄×D₄	C₂³×C₃₇	1	3	yes	—
994	C₄×D₄	C₂³×C₃₇	1	3	yes	—
995	C₄×D₄	C₂³×C₃₇	1	6	yes	—
996	C₄×D₄	C₂³×C₃₇	1	6	yes	—
997	C₄×D₄	C₂³×C₃₇	1	3	yes	—
998	C₄×D₄	C₂³×C₃₇	1	3	yes	—
999	C₄×D₄	C₂³×C₃₇	1	6	yes	—
1000	C₄×D₄	C₂³×C₃₇	1	6	yes	—
1001	C₄×D₄	C₂³×C₃₇	1	6	yes	—
1002	C₄×D₄	C₂³×C₃₇	1	6	yes	—
1003	C₄×D₄	C₂³×C₃₇	1	6	yes	—
1004	C₄×D₄	C₂³×C₃₇	1	12	yes	—
1005	C₄×D₄	C₂³×C₃₇	1	12	yes	—
1006	#117	C₂³×C₃₇	1	1	yes	characteristic
1007	#117	C₂³×C₃₇	1	3	yes	—
1008	#117	C₂³×C₃₇	1	3	yes	—
1009	#117	C₂³×C₃₇	1	3	yes	—
1010	#117	C₂³×C₃₇	1	6	yes	—
1011	#117	C₂³×C₃₇	1	3	yes	—
1012	#117	C₂³×C₃₇	1	6	yes	—
1013	#117	C₂³×C₃₇	1	3	yes	—
1014	#117	C₂³×C₃₇	1	6	yes	—
1015	#117	C₂³×C₃₇	1	6	yes	—
1016	#117	C₂³×C₃₇	1	6	yes	—
1017	#117	C₂³×C₃₇	1	12	yes	—
1018	#117	C₂³×C₃₇	1	12	yes	—
1019	#117	C₂³×C₃₇	1	6	yes	—
1020	#117	C₂³×C₃₇	1	6	yes	—
1021	#117	C₂³×C₃₇	1	6	yes	—
1022	#117	C₂³×C₃₇	1	6	yes	—
1023	#117	C₂³×C₃₇	1	6	yes	—
1024	#117	C₂³×C₃₇	1	6	yes	—
1025	#117	C₂³×C₃₇	1	12	yes	—
1026	#117	C₂³×C₃₇	1	6	yes	—
1027	C₂×C₄⋊C₄	C₂³×C₃₇	1	3	yes	—
1028	C₂×C₄⋊C₄	C₂³×C₃₇	1	6	yes	—
1029	C₂×C₄⋊C₄	C₂³×C₃₇	1	6	yes	—
1030	C₂×C₄⋊C₄	C₂³×C₃₇	1	3	yes	—
1031	C₂×C₄⋊C₄	C₂³×C₃₇	1	6	yes	—
1032	C₂×C₄⋊C₄	C₂³×C₃₇	1	6	yes	—
1033	C₂×C₄²	C₂³×C₃₇	1	3	yes	—
1034	C₂×C₄²	C₂³×C₃₇	1	6	yes	—
1035	C₂×C₄²	C₂³×C₃₇	1	6	yes	—
1036	C₂×C₄²	C₂³×C₃₇	1	3	yes	—
1037	C₂×C₄²	C₂³×C₃₇	1	3	yes	—
1038	#41	—	2	4	no	—
1039	#41	—	2	4	no	—
1040	#41	—	4	6	no	—
1041	#41	—	4	6	no	—
1042	C₂×Q₈	—	2	4	no	—
1043	C₂×Q₈	—	2	8	no	—
1044	C₂×Q₈	—	4	12	no	—
1045	C₂×Q₈	—	4	6	no	—
1046	C₂×Q₈	C₂⁴×C₃₇	1	3	yes	—
1047	C₂×Q₈	C₂⁴×C₃₇	1	6	yes	—
1048	C₂×Q₈	C₂⁴×C₃₇	1	1	yes	characteristic
1049	C₂×Q₈	C₂⁴×C₃₇	1	3	yes	—
1050	C₂×Q₈	C₂⁴×C₃₇	1	3	yes	—
1051	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
1052	C₂×Q₈	C₂⁴×C₃₇	1	6	yes	—
1053	C₂×Q₈	C₂⁴×C₃₇	1	6	yes	—
1054	C₂×Q₈	C₂⁴×C₃₇	1	6	yes	—
1055	C₂×Q₈	C₂⁴×C₃₇	1	12	yes	—
1056	C₂×Q₈	C₂⁴×C₃₇	1	3	yes	—
1057	C₂×Q₈	C₂⁴×C₃₇	1	1	yes	characteristic
1058	C₂×D₄	C₂⁴×C₃₇	1	3	yes	—
1059	C₂×D₄	C₂⁴×C₃₇	1	3	yes	—
1060	C₂×D₄	C₂⁴×C₃₇	1	1	yes	characteristic
1061	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
1062	C₂×D₄	C₂⁴×C₃₇	1	6	yes	—
1063	C₂×D₄	C₂⁴×C₃₇	1	6	yes	—
1064	C₂×D₄	C₂⁴×C₃₇	1	6	yes	—
1065	C₂×D₄	C₂⁴×C₃₇	1	3	yes	—
1066	C₂×D₄	C₂⁴×C₃₇	1	3	yes	—
1067	C₂×D₄	C₂⁴×C₃₇	1	3	yes	—
1068	C₂²×C₄	C₂⁴×C₃₇	1	3	yes	—
1069	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1070	C₂²×C₄	C₂⁴×C₃₇	1	3	yes	—
1071	C₂²×C₄	C₂⁴×C₃₇	1	6	yes	—
1072	C₂²×C₄	C₂⁴×C₃₇	1	3	yes	—
1073	C₂²×C₄	C₂⁴×C₃₇	1	3	yes	—
1074	C₂²×C₄	C₂⁴×C₃₇	1	3	yes	—
1075	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
1076	C₂²×C₄	C₂⁴×C₃₇	1	3	yes	—
1077	C₂²×C₄	C₂⁴×C₃₇	1	6	yes	—
1078	C₂²×C₄	C₂⁴×C₃₇	1	3	yes	—
1079	C₂²×C₄	C₂⁴×C₃₇	1	6	yes	—
1080	C₂²×C₄	C₂⁴×C₃₇	1	3	yes	—
1081	C₂²×C₄	C₂⁴×C₃₇	1	6	yes	—
1082	C₂²×C₄	C₂⁴×C₃₇	1	12	yes	—
1083	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1084	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1085	C₄⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1086	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1087	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1088	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1089	C₄⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1090	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1091	C₄⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1092	C₄⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1093	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1094	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1095	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1096	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1097	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1098	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1099	C₄⋊C₄	C₂⁴×C₃₇	1	12	yes	—
1100	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1101	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1102	C₄⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1103	C₄⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1104	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1105	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1106	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1107	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1108	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1109	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1110	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1111	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1112	C₄⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1113	C₄⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1114	C₄⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1115	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1116	C₄⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1117	C₄⋊C₄	C₂⁴×C₃₇	1	12	yes	—
1118	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1119	C₄⋊C₄	C₂⁴×C₃₇	1	12	yes	—
1120	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1121	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1122	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1123	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1124	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1125	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1126	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1127	C₄⋊C₄	C₂⁴×C₃₇	1	12	yes	—
1128	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1129	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1130	C₄⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1131	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1132	C₂²⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1133	C₂²⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1134	C₂²⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1135	C₂²⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1136	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1137	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1138	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1139	C₂²⋊C₄	C₂⁴×C₃₇	1	12	yes	—
1140	C₂²⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1141	C₂²⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1142	C₂²⋊C₄	C₂⁴×C₃₇	1	12	yes	—
1143	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1144	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1145	C₂²⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1146	C₂²⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
1147	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1148	C₂²⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1149	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1150	C₂²⋊C₄	C₂⁴×C₃₇	1	12	yes	—
1151	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1152	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1153	C₂²⋊C₄	C₂⁴×C₃₇	1	3	yes	—
1154	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1155	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1156	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1157	C₂²⋊C₄	C₂⁴×C₃₇	1	2	yes	—
1158	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1159	C₂²⋊C₄	C₂⁴×C₃₇	1	6	yes	—
1160	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
1161	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
1162	C₄²	C₂⁴×C₃₇	1	3	yes	—
1163	C₄²	C₂⁴×C₃₇	1	3	yes	—
1164	C₄²	C₂⁴×C₃₇	1	2	yes	—
1165	C₄²	C₂⁴×C₃₇	1	3	yes	—
1166	C₄²	C₂⁴×C₃₇	1	6	yes	—
1167	C₄²	C₂⁴×C₃₇	1	6	yes	—
1168	C₄²	C₂⁴×C₃₇	1	6	yes	—
1169	C₄²	C₂⁴×C₃₇	1	3	yes	—
1170	C₄²	C₂⁴×C₃₇	1	6	yes	—
1171	C₄²	C₂⁴×C₃₇	1	6	yes	—
1172	C₄²	C₂⁴×C₃₇	1	3	yes	—
1173	C₄²	C₂⁴×C₃₇	1	3	yes	—
1174	C₄²	C₂⁴×C₃₇	1	3	yes	—
1175	C₄²	C₂⁴×C₃₇	1	6	yes	—
1176	C₄²	C₂⁴×C₃₇	1	3	yes	—
1177	C₄²	C₂⁴×C₃₇	1	12	yes	—
1178	C₄²	C₂⁴×C₃₇	1	12	yes	—
1179	C₄²	C₂⁴×C₃₇	1	12	yes	—
1180	C₂³	C₂⁵×C₃₇	1	1	yes	characteristic
1181	C₂³	C₂⁵×C₃₇	1	2	yes	—
1182	C₂³	C₂⁵×C₃₇	1	3	yes	—
1183	C₂³	C₂⁵×C₃₇	1	3	yes	—
1184	Q₈	—	2	6	no	—
1185	Q₈	—	2	12	no	—
1186	Q₈	—	2	6	no	—
1187	Q₈	—	2	2	no	—
1188	Q₈	—	2	6	no	—
1189	Q₈	—	4	6	no	—
1190	Q₈	—	4	12	no	—
1191	Q₈	—	4	3	no	—
1192	Q₈	—	4	2	no	—
1193	Q₈	—	4	6	no	—
1194	Q₈	—	4	6	no	—
1195	Q₈	2₋¹⁺⁴×C₃₇	1	4	yes	—
1196	D₄	—	2	6	no	—
1197	D₄	—	2	6	no	—
1198	D₄	—	2	2	no	—
1199	D₄	—	4	3	no	—
1200	D₄	—	4	3	no	—
1201	D₄	—	4	3	no	—
1202	D₄	—	4	6	no	—
1203	D₄	—	4	2	no	—
1204	D₄	—	4	6	no	—
1205	D₄	—	4	6	no	—
1206	C₂×C₄	—	2	12	no	—
1207	C₂×C₄	—	2	6	no	—
1208	C₂×C₄	—	2	6	no	—
1209	C₂×C₄	—	2	6	no	—
1210	C₂×C₄	—	2	6	no	—
1211	C₂×C₄	—	2	6	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	4	12	no	—
1214	C₂×C₄	—	4	6	no	—
1215	C₂×C₄	—	4	6	no	—
1216	C₂×C₄	—	4	3	no	—
1217	C₂×C₄	—	4	2	no	—
1218	C₂×C₄	—	4	6	no	—
1219	C₂×C₄	—	4	3	no	—
1220	C₂×C₄	—	4	3	no	—
1221	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1222	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1223	C₂×C₄	C₂⁵×C₃₇	1	6	yes	—
1224	C₂×C₄	C₂⁵×C₃₇	1	3	yes	—
1225	C₂×C₄	C₂⁵×C₃₇	1	2	yes	—
1226	C₂×C₄	C₂⁵×C₃₇	1	6	yes	—
1227	C₂×C₄	C₂⁵×C₃₇	1	3	yes	—
1228	C₂×C₄	C₂⁵×C₃₇	1	3	yes	—
1229	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1230	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1231	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1232	C₂×C₄	C₂⁵×C₃₇	1	3	yes	—
1233	C₂×C₄	C₂⁵×C₃₇	1	2	yes	—
1234	C₂×C₄	C₂⁵×C₃₇	1	6	yes	—
1235	C₂×C₄	C₂⁵×C₃₇	1	2	yes	—
1236	C₂×C₄	C₂⁵×C₃₇	1	3	yes	—
1237	C₂×C₄	C₂⁵×C₃₇	1	6	yes	—
1238	C₂×C₄	C₂⁵×C₃₇	1	3	yes	—
1239	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1240	C₂²	—	2	1	no	—
1241	C₂²	—	2	2	no	—
1242	C₂²	—	2	3	no	—
1243	C₂²	—	2	3	no	—
1244	C₂²	—	2	3	no	—
1245	C₂²	—	2	3	no	—
1246	C₂²	—	2	1	no	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	1	no	—
1249	C₂²	—	2	3	no	—
1250	C₂²	—	2	2	no	—
1251	C₂²	—	2	3	no	—
1252	C₂²	C₂⁶×C₃₇	1	1	yes	characteristic
1253	C₄	—	2	1	no	—
1254	C₄	—	2	1	no	—
1255	C₄	—	2	6	no	—
1256	C₄	—	2	3	no	—
1257	C₄	—	2	3	no	—
1258	C₄	—	2	1	no	—
1259	C₄	—	2	3	no	—
1260	C₄	—	2	6	no	—
1261	C₄	—	2	6	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	1	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	3	no	—
1266	C₄	—	2	1	no	—
1267	C₄	—	2	3	no	—
1268	C₄	—	2	6	no	—
1269	C₄	—	2	2	no	—
1270	C₄	C₂×2₋¹⁺⁴×C₃₇	1	6	yes	—
1271	C₄	C₃₇×#585	1	2	yes	—
1272	C₂	—	4	1	no	—
1273	C₂	—	4	2	no	—
1274	C₂	—	4	3	no	—
1275	C₂	—	4	3	no	—
1276	C₂	C₂²×2₋¹⁺⁴×C₃₇	1	1	yes	characteristic
1277	C₂	C₂×C₃₇×#585	1	1	yes	characteristic
1278	C₂	C₃₇×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₇	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₃₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₇×#3565	C₂	semidirect
2. C₃₇×#3565	C₂	semidirect
3. C₃₇×#3557	C₂	semidirect
4. C₃₇×#3555	C₂	semidirect
5. C₃₇×#3555	C₂	semidirect
6. C₃₇×#3552	C₂	semidirect
7. C₃₇×#3550	C₂	semidirect
8. C₃₇×#3547	C₂	semidirect
9. C₃₇×#3524	C₂	semidirect
10. C₃₇×#3523	C₂	semidirect
11. C₃₇×#3523	C₂	semidirect
12. C₃₇×#3518	C₂	semidirect
13. C₃₇×#3518	C₂	semidirect
14. C₃₇×#3518	C₂	semidirect
15. C₃₇×#3516	C₂	semidirect
16. C₃₇×#3509	C₂	semidirect
17. C₃₇×#3503	C₂	semidirect
18. C₃₇×#3502	C₂	semidirect
19. C₃₇×#3502	C₂	semidirect
20. C₃₇×#3482	C₂	semidirect
21. C₃₇×#3480	C₂	semidirect
22. Q₈×#41×C₃₇	C₂	semidirect
23. C₃₇×#3461	C₂	semidirect
600. #62953	C₃₇	direct (N × H)
633. #3565	C₂×C₃₇	semidirect
634. #3565	C₂×C₃₇	semidirect
635. #3557	C₂×C₃₇	semidirect
636. #3555	C₂×C₃₇	semidirect
637. #3555	C₂×C₃₇	semidirect
638. #3552	C₂×C₃₇	semidirect
639. #3550	C₂×C₃₇	semidirect
640. #3547	C₂×C₃₇	semidirect
641. #3524	C₂×C₃₇	semidirect
642. #3523	C₂×C₃₇	semidirect
643. #3523	C₂×C₃₇	semidirect
644. #3518	C₂×C₃₇	semidirect
645. #3518	C₂×C₃₇	semidirect
646. #3518	C₂×C₃₇	semidirect
647. #3516	C₂×C₃₇	semidirect
648. #3509	C₂×C₃₇	semidirect
649. #3503	C₂×C₃₇	semidirect
650. #3502	C₂×C₃₇	semidirect
651. #3502	C₂×C₃₇	semidirect
652. #3482	C₂×C₃₇	semidirect
653. #3480	C₂×C₃₇	semidirect
654. Q₈×#41	C₂×C₃₇	semidirect
655. #3461	C₂×C₃₇	semidirect
797. C₃₇	#62953	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×#3565	2
C₃₇×#3557	2
C₃₇×#3555	2
C₃₇×#3552	2
C₃₇×#3550	2
C₃₇×#3547	2
C₃₇×#3524	2
C₃₇×#3523	2
C₃₇×#3518	2
C₃₇×#3516	2
C₃₇×#3509	2
C₃₇×#3503	2
C₃₇×#3502	2
C₃₇×#3482	2
C₃₇×#3480	2
Q₈×#41×C₃₇	2
C₃₇×#3461	2
#62953	37

Subgroups — C37×#62953 #22684206

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#62953 #22684206