Subgroups — C₃₇×#61702 #22682955

Order 9472.

1844 conjugacy classes of subgroups.

The subgroup lattice has 1160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3519	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₇×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₇×#3341	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₇×#3340	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₇×#3339	C₂	1	2	yes	maximal, complemented
6	C₃₇×#3338	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₇×#3337	C₂	1	2	yes	maximal, complemented
8	C₃₇×#3335	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₇×#3305	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₇×#3304	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₇×#3297	C₂	1	2	yes	maximal, complemented
12	C₃₇×#3296	C₂	1	2	yes	maximal, complemented
13	C₃₇×#3295	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₇×#3294	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₇×#3233	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₇×#3228	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₇×#3191	C₂	1	2	yes	maximal, complemented
18	C₃₇×#3188	C₂	1	2	yes	maximal, complemented
19	C₃₇×#3106	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₇×#3102	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₇×#3091	C₂	1	2	yes	maximal, complemented
22	C₂×C₃₇×#482	C₂	1	2	yes	maximal, complemented
23	C₃₇×#2972	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₇×#556	C₂²	1	1	yes	characteristic, complemented
25	C₃₇×#555	C₂²	1	1	yes	characteristic
26	C₃₇×#555	C₂²	1	1	yes	characteristic, complemented
27	C₃₇×#554	C₂²	1	1	yes	characteristic
28	C₃₇×#554	C₂²	1	1	yes	characteristic
29	C₃₇×#553	—	2	1	no	—
30	C₃₇×#553	C₂²	1	2	yes	—
31	C₃₇×#553	C₂²	1	2	yes	complemented
32	C₃₇×#552	—	2	1	no	—
33	C₃₇×#552	C₂²	1	2	yes	complemented
34	C₃₇×#551	—	2	2	no	—
35	C₃₇×#550	C₂²	1	1	yes	characteristic
36	C₃₇×#547	C₂²	1	1	yes	characteristic
37	C₃₇×#546	—	2	1	no	—
38	C₃₇×#546	—	2	2	no	—
39	C₃₇×#546	C₂²	1	2	yes	—
40	D₄²×C₃₇	—	2	1	no	—
41	D₄²×C₃₇	C₂²	1	1	yes	characteristic
42	C₃₇×#540	—	2	1	no	—
43	C₃₇×#538	—	2	2	no	—
44	C₃₇×#533	C₂²	1	1	yes	characteristic, complemented
45	C₃₇×#532	C₂²	1	1	yes	characteristic
46	C₃₇×#529	—	2	2	no	—
47	C₃₇×#529	—	2	1	no	—
48	C₃₇×#529	C₂²	1	1	yes	characteristic
49	C₃₇×#525	C₂²	1	2	yes	—
50	C₃₇×#525	C₂²	1	2	yes	complemented
51	C₂×#121×C₃₇	C₂²	1	2	yes	—
52	C₃₇×#518	—	2	1	no	—
53	C₄×#41×C₃₇	—	2	1	no	—
54	C₄×#41×C₃₇	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₄×D₄×C₃₇	C₂²	1	1	yes	characteristic
56	C₂×#117×C₃₇	C₂²	1	2	yes	complemented
57	C₃₇×#500	C₂²	1	1	yes	characteristic, complemented
58	C₃₇×#499	C₂²	1	2	yes	complemented
59	C₃₇×#498	C₂²	1	1	yes	characteristic, complemented
60	C₃₇×#488	C₂²	1	2	yes	complemented
61	C₃₇×#486	C₂²	1	1	yes	characteristic, complemented
62	C₃₇×#486	C₂²	1	1	yes	characteristic, complemented
63	C₃₇×#485	C₂²	1	2	yes	complemented
64	C₃₇×#485	C₂²	1	2	yes	complemented
65	C₃₇×#485	C₂²	1	1	yes	characteristic, complemented
66	C₃₇×#484	C₂²	1	2	yes	complemented
67	C₃₇×#484	C₂²	1	2	yes	complemented
68	C₃₇×#483	C₂²	1	2	yes	complemented
69	C₃₇×#482	C₂²	1	2	yes	—
70	C₃₇×#482	C₂²	1	1	yes	characteristic
71	C₃₇×#482	C₂²	1	2	yes	complemented
72	C₃₇×#482	C₂²	1	2	yes	complemented
73	C₃₇×#482	C₂²	1	2	yes	complemented
74	C₃₇×#482	C₂²	1	2	yes	complemented
75	C₃₇×#482	C₂²	1	2	yes	complemented
76	C₃₇×#482	C₂²	1	2	yes	complemented
77	C₃₇×#482	C₂²	1	2	yes	complemented
78	C₃₇×#482	C₂²	1	2	yes	complemented
79	C₃₇×#481	C₂²	1	2	yes	complemented
80	C₃₇×#481	C₂²	1	2	yes	complemented
81	C₃₇×#480	C₂²	1	2	yes	complemented
82	C₃₇×#479	C₂²	1	1	yes	characteristic, complemented
83	C₃₇×#478	C₂²	1	2	yes	complemented
84	C₃₇×#478	C₂²	1	2	yes	complemented
85	C₃₇×#478	C₂²	1	1	yes	characteristic, complemented
86	C₃₇×#477	C₂²	1	1	yes	characteristic, complemented
87	C₃₇×#477	C₂²	1	1	yes	characteristic, complemented
88	C₃₇×#476	C₂²	1	1	yes	characteristic, complemented
89	C₃₇×#476	C₂²	1	1	yes	characteristic, complemented
90	C₃₇×#475	C₂²	1	1	yes	characteristic, complemented
91	C₃₇×#474	C₂²	1	1	yes	characteristic, complemented
92	C₃₇×#467	C₂²	1	2	yes	complemented
93	C₃₇×#466	C₂²	1	2	yes	complemented
94	C₃₇×#466	C₂²	1	2	yes	complemented
95	C₃₇×#466	C₂²	1	2	yes	complemented
96	C₃₇×#465	C₂²	1	2	yes	complemented
97	C₃₇×#465	C₂²	1	2	yes	complemented
98	C₃₇×#465	C₂²	1	2	yes	complemented
99	C₃₇×#465	C₂²	1	2	yes	complemented
100	C₃₇×#464	C₂²	1	1	yes	characteristic, complemented
101	C₃₇×#463	C₂²	1	1	yes	characteristic, complemented
102	C₃₇×#460	C₂²	1	1	yes	characteristic, complemented
103	C₃₇×#459	C₂²	1	1	yes	characteristic, complemented
104	C₃₇×#452	C₂²	1	1	yes	characteristic, complemented
105	C₃₇×#452	C₂²	1	2	yes	complemented
106	C₃₇×#450	C₂²	1	2	yes	complemented
107	C₃₇×#449	C₂²	1	1	yes	characteristic
108	C₃₇×#449	C₂²	1	2	yes	complemented
109	C₃₇×#449	C₂²	1	2	yes	complemented
110	C₃₇×#447	C₂²	1	2	yes	complemented
111	C₄×Q₁₆×C₃₇	C₂²	1	1	yes	characteristic, complemented
112	C₄×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic, complemented
113	C₄×SD₁₆×C₃₇	C₂²	1	2	yes	complemented
114	C₄×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic, complemented
115	C₄×D₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
116	C₄×D₈×C₃₇	C₂²	1	2	yes	complemented
117	C₈×D₄×C₃₇	C₂²	1	1	yes	characteristic
118	C₈×D₄×C₃₇	C₂²	1	1	yes	characteristic
119	C₈×D₄×C₃₇	C₂²	1	2	yes	complemented
120	C₈×D₄×C₃₇	C₂²	1	2	yes	complemented
121	C₈×D₄×C₃₇	C₂²	1	1	yes	characteristic, complemented
122	C₈×D₄×C₃₇	C₂²	1	1	yes	characteristic, complemented
123	C₃₇×#431	C₂²	1	1	yes	characteristic, complemented
124	C₃₇×#431	C₂²	1	1	yes	characteristic, complemented
125	C₃₇×#427	C₂²	1	2	yes	complemented
126	C₃₇×#427	C₂²	1	2	yes	complemented
127	C₂×#107×C₃₇	C₂²	1	2	yes	complemented
128	C₂×#106×C₃₇	C₂²	1	2	yes	complemented
129	C₃₇×#416	C₂²	1	2	yes	complemented
130	C₃₇×#416	C₂²	1	2	yes	complemented
131	C₂×#102×C₃₇	C₂²	1	2	yes	complemented
132	C₂×#102×C₃₇	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₈×C₃₇	C₂²	1	2	yes	complemented
134	C₂×C₂²⋊C₈×C₃₇	C₂²	1	2	yes	complemented
135	C₂×#41×C₃₇	—	2	1	no	—
136	C₂×#41×C₃₇	—	2	1	no	—
137	C₂×#41×C₃₇	C₂³	1	2	yes	—
138	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₃₇	—	2	2	no	—
140	C₂²×D₄×C₃₇	—	2	1	no	—
141	C₂²×D₄×C₃₇	D₄	1	1	yes	characteristic
142	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
143	C₂³×C₄×C₃₇	C₂³	1	2	yes	—
144	C₂×Q₁₆×C₃₇	C₂³	1	1	yes	characteristic
145	C₂×SD₁₆×C₃₇	C₂³	1	1	yes	characteristic
146	C₂×SD₁₆×C₃₇	C₂³	1	1	yes	characteristic
147	C₂×SD₁₆×C₃₇	C₂³	1	2	yes	—
148	C₂×D₈×C₃₇	C₂³	1	1	yes	characteristic
149	C₂×D₈×C₃₇	C₂³	1	2	yes	—
150	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
151	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
152	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
153	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
154	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
155	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
156	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
157	#127×C₃₇	—	2	1	no	—
158	#127×C₃₇	C₂³	1	1	yes	characteristic
159	#126×C₃₇	—	2	2	no	—
160	#126×C₃₇	—	2	2	no	—
161	#126×C₃₇	—	2	2	no	—
162	#126×C₃₇	—	2	2	no	—
163	#126×C₃₇	—	2	1	no	—
164	#125×C₃₇	—	2	2	no	—
165	#125×C₃₇	—	2	1	no	—
166	#125×C₃₇	—	2	1	no	—
167	#125×C₃₇	C₂³	1	1	yes	characteristic
168	#125×C₃₇	C₂³	1	2	yes	—
169	#124×C₃₇	—	2	1	no	—
170	#124×C₃₇	—	2	2	no	—
171	#124×C₃₇	—	2	2	no	—
172	#124×C₃₇	—	2	1	no	—
173	#124×C₃₇	C₂³	1	1	yes	characteristic
174	#123×C₃₇	—	2	2	no	—
175	#123×C₃₇	—	2	2	no	—
176	#123×C₃₇	—	2	2	no	—
177	#123×C₃₇	—	2	1	no	—
178	#123×C₃₇	—	2	2	no	—
179	#123×C₃₇	—	2	2	no	—
180	#123×C₃₇	—	2	2	no	—
181	#123×C₃₇	—	2	2	no	—
182	C₂²⋊Q₈×C₃₇	—	2	1	no	—
183	C₂²⋊Q₈×C₃₇	—	2	1	no	—
184	C₂²⋊Q₈×C₃₇	—	2	1	no	—
185	C₂²⋊Q₈×C₃₇	—	2	2	no	—
186	C₂²⋊Q₈×C₃₇	—	2	2	no	—
187	C₂²⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
188	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
189	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
190	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
191	#121×C₃₇	—	2	2	no	—
192	#121×C₃₇	—	2	1	no	—
193	#121×C₃₇	—	2	2	no	—
194	#121×C₃₇	—	2	1	no	—
195	#121×C₃₇	—	2	2	no	—
196	#121×C₃₇	—	2	2	no	—
197	#121×C₃₇	—	2	1	no	—
198	#121×C₃₇	—	2	1	no	—
199	#121×C₃₇	—	2	2	no	—
200	#121×C₃₇	—	2	2	no	—
201	#121×C₃₇	C₂³	1	1	yes	characteristic
202	#121×C₃₇	C₂³	1	2	yes	—
203	#121×C₃₇	C₂³	1	2	yes	—
204	#121×C₃₇	C₂³	1	2	yes	—
205	#121×C₃₇	C₂³	1	2	yes	—
206	#121×C₃₇	C₂³	1	2	yes	—
207	#121×C₃₇	C₂³	1	2	yes	—
208	#120×C₃₇	—	2	2	no	—
209	#120×C₃₇	—	2	2	no	—
210	#120×C₃₇	—	2	2	no	—
211	#120×C₃₇	—	2	2	no	—
212	C₄×Q₈×C₃₇	—	2	1	no	—
213	C₄×Q₈×C₃₇	—	2	1	no	—
214	C₄×Q₈×C₃₇	—	2	1	no	—
215	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
216	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
217	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
218	C₄×D₄×C₃₇	—	2	1	no	—
219	C₄×D₄×C₃₇	—	2	1	no	—
220	C₄×D₄×C₃₇	—	2	2	no	—
221	C₄×D₄×C₃₇	—	2	2	no	—
222	C₄×D₄×C₃₇	—	2	2	no	—
223	C₄×D₄×C₃₇	—	2	2	no	—
224	C₄×D₄×C₃₇	—	2	1	no	—
225	C₄×D₄×C₃₇	—	2	1	no	—
226	C₄×D₄×C₃₇	—	2	1	no	—
227	C₄×D₄×C₃₇	—	2	1	no	—
228	C₄×D₄×C₃₇	—	2	2	no	—
229	C₄×D₄×C₃₇	—	2	2	no	—
230	C₄×D₄×C₃₇	—	2	1	no	—
231	C₄×D₄×C₃₇	D₄	1	2	yes	—
232	C₄×D₄×C₃₇	D₄	1	1	yes	characteristic
233	C₄×D₄×C₃₇	D₄	1	1	yes	characteristic
234	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₃₇	C₂³	1	2	yes	—
236	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₃₇	C₂³	1	2	yes	—
240	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
241	#117×C₃₇	—	2	2	no	—
242	#117×C₃₇	—	2	2	no	—
243	#117×C₃₇	—	2	1	no	—
244	#117×C₃₇	—	2	1	no	—
245	#117×C₃₇	—	2	2	no	—
246	#117×C₃₇	—	2	1	no	—
247	#117×C₃₇	—	2	1	no	—
248	#117×C₃₇	C₂³	1	2	yes	—
249	#117×C₃₇	C₂³	1	2	yes	—
250	#117×C₃₇	C₂³	1	2	yes	—
251	#117×C₃₇	C₂³	1	2	yes	—
252	#117×C₃₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₃₇	D₄	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
255	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
256	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
257	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
258	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
259	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
260	C₂×C₂²⋊C₄×C₃₇	D₄	1	2	yes	—
261	C₂×C₄²×C₃₇	—	2	2	no	—
262	C₂×C₄²×C₃₇	—	2	1	no	—
263	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
264	#107×C₃₇	C₂³	1	1	yes	characteristic
265	#107×C₃₇	C₂³	1	2	yes	—
266	#107×C₃₇	C₂³	1	2	yes	—
267	#107×C₃₇	C₂³	1	2	yes	—
268	#107×C₃₇	C₂³	1	1	yes	characteristic
269	#107×C₃₇	C₂³	1	2	yes	—
270	#107×C₃₇	C₂³	1	2	yes	—
271	#106×C₃₇	C₂³	1	1	yes	characteristic
272	#106×C₃₇	C₂³	1	2	yes	—
273	#106×C₃₇	C₂³	1	2	yes	—
274	#106×C₃₇	C₂³	1	2	yes	—
275	#106×C₃₇	C₂³	1	1	yes	characteristic
276	#106×C₃₇	C₂³	1	2	yes	—
277	#106×C₃₇	C₂³	1	2	yes	—
278	C₄⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
279	C₄⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
280	C₄⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
281	C₄⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
282	#103×C₃₇	C₂³	1	1	yes	characteristic
283	#103×C₃₇	C₂³	1	1	yes	characteristic
284	#103×C₃₇	C₂³	1	2	yes	—
285	#103×C₃₇	C₂³	1	2	yes	—
286	#103×C₃₇	C₂³	1	2	yes	—
287	#103×C₃₇	C₂³	1	1	yes	characteristic
288	#103×C₃₇	C₂³	1	1	yes	characteristic
289	#102×C₃₇	C₂³	1	1	yes	characteristic
290	#102×C₃₇	C₂³	1	1	yes	characteristic
291	#102×C₃₇	C₂³	1	2	yes	—
292	#102×C₃₇	C₂³	1	2	yes	—
293	#102×C₃₇	C₂³	1	2	yes	—
294	#102×C₃₇	C₂³	1	2	yes	—
295	#102×C₃₇	C₂³	1	2	yes	—
296	#102×C₃₇	C₂³	1	2	yes	—
297	#102×C₃₇	C₂³	1	2	yes	—
298	#102×C₃₇	C₂³	1	2	yes	—
299	#102×C₃₇	C₂³	1	2	yes	—
300	#102×C₃₇	C₂³	1	1	yes	characteristic
301	#102×C₃₇	C₂³	1	1	yes	characteristic
302	C₂²⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
303	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
305	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
306	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
307	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
309	C₄×C₈×C₃₇	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₃₇	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₃₇	C₂³	1	2	yes	—
312	C₂⁴×C₃₇	—	2	2	no	—
313	C₂⁴×C₃₇	C₂×D₄	1	2	yes	—
314	#41×C₃₇	—	4	1	no	—
315	#41×C₃₇	—	4	1	no	—
316	#41×C₃₇	—	4	2	no	—
317	#41×C₃₇	—	4	2	no	—
318	#41×C₃₇	—	4	4	no	—
319	#41×C₃₇	—	8	2	no	—
320	C₂×Q₈×C₃₇	—	2	1	no	—
321	C₂×Q₈×C₃₇	—	2	1	no	—
322	C₂×Q₈×C₃₇	—	2	1	no	—
323	C₂×Q₈×C₃₇	C₂⁴	1	1	yes	characteristic
324	C₂×Q₈×C₃₇	C₂⁴	1	1	yes	characteristic
325	C₂×D₄×C₃₇	—	2	4	no	—
326	C₂×D₄×C₃₇	—	2	2	no	—
327	C₂×D₄×C₃₇	—	2	1	no	—
328	C₂×D₄×C₃₇	—	2	2	no	—
329	C₂×D₄×C₃₇	—	2	2	no	—
330	C₂×D₄×C₃₇	—	2	1	no	—
331	C₂×D₄×C₃₇	—	2	2	no	—
332	C₂×D₄×C₃₇	—	2	2	no	—
333	C₂×D₄×C₃₇	—	2	2	no	—
334	C₂×D₄×C₃₇	—	2	2	no	—
335	C₂×D₄×C₃₇	—	2	1	no	—
336	C₂×D₄×C₃₇	—	2	1	no	—
337	C₂×D₄×C₃₇	—	2	2	no	—
338	C₂×D₄×C₃₇	—	4	2	no	—
339	C₂×D₄×C₃₇	—	4	2	no	—
340	C₂×D₄×C₃₇	—	4	4	no	—
341	C₂×D₄×C₃₇	—	8	4	no	—
342	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
343	C₂×D₄×C₃₇	C₂×D₄	1	1	yes	characteristic
344	C₂×D₄×C₃₇	C₂×D₄	1	1	yes	characteristic
345	C₂×D₄×C₃₇	C₂⁴	1	1	yes	characteristic
346	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
347	C₂×D₄×C₃₇	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₃₇	—	2	2	no	—
349	C₂²×C₄×C₃₇	—	2	2	no	—
350	C₂²×C₄×C₃₇	—	2	2	no	—
351	C₂²×C₄×C₃₇	—	2	1	no	—
352	C₂²×C₄×C₃₇	—	2	1	no	—
353	C₂²×C₄×C₃₇	—	2	1	no	—
354	C₂²×C₄×C₃₇	—	2	1	no	—
355	C₂²×C₄×C₃₇	—	2	2	no	—
356	C₂²×C₄×C₃₇	—	2	2	no	—
357	C₂²×C₄×C₃₇	—	4	2	no	—
358	C₂²×C₄×C₃₇	—	4	2	no	—
359	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
360	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
361	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
362	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
363	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
364	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
366	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
367	Q₁₆×C₃₇	—	4	1	no	—
368	SD₁₆×C₃₇	—	4	1	no	—
369	SD₁₆×C₃₇	—	4	1	no	—
370	SD₁₆×C₃₇	—	4	2	no	—
371	D₈×C₃₇	—	4	2	no	—
372	D₈×C₃₇	—	4	1	no	—
373	C₂×C₈×C₃₇	—	4	2	no	—
374	C₂×C₈×C₃₇	—	4	2	no	—
375	C₂×C₈×C₃₇	—	4	2	no	—
376	C₂×C₈×C₃₇	—	4	2	no	—
377	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₃₇	C₂⁴	1	2	yes	—
381	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₃₇	C₂⁴	1	2	yes	—
383	C₄⋊C₄×C₃₇	—	2	2	no	—
384	C₄⋊C₄×C₃₇	—	2	2	no	—
385	C₄⋊C₄×C₃₇	—	2	2	no	—
386	C₄⋊C₄×C₃₇	—	2	1	no	—
387	C₄⋊C₄×C₃₇	—	2	1	no	—
388	C₄⋊C₄×C₃₇	—	2	1	no	—
389	C₄⋊C₄×C₃₇	—	2	1	no	—
390	C₄⋊C₄×C₃₇	—	2	2	no	—
391	C₄⋊C₄×C₃₇	—	2	2	no	—
392	C₄⋊C₄×C₃₇	—	2	1	no	—
393	C₄⋊C₄×C₃₇	—	2	1	no	—
394	C₄⋊C₄×C₃₇	—	2	1	no	—
395	C₄⋊C₄×C₃₇	—	2	2	no	—
396	C₄⋊C₄×C₃₇	—	2	2	no	—
397	C₄⋊C₄×C₃₇	—	2	2	no	—
398	C₄⋊C₄×C₃₇	—	2	1	no	—
399	C₄⋊C₄×C₃₇	—	2	1	no	—
400	C₄⋊C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
401	C₄⋊C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
402	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
403	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
404	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
405	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
407	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
409	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
410	C₂²⋊C₄×C₃₇	—	2	1	no	—
411	C₂²⋊C₄×C₃₇	—	2	2	no	—
412	C₂²⋊C₄×C₃₇	—	2	2	no	—
413	C₂²⋊C₄×C₃₇	—	2	2	no	—
414	C₂²⋊C₄×C₃₇	—	2	2	no	—
415	C₂²⋊C₄×C₃₇	—	2	2	no	—
416	C₂²⋊C₄×C₃₇	—	2	2	no	—
417	C₂²⋊C₄×C₃₇	—	2	1	no	—
418	C₂²⋊C₄×C₃₇	—	2	2	no	—
419	C₂²⋊C₄×C₃₇	—	2	1	no	—
420	C₂²⋊C₄×C₃₇	—	2	1	no	—
421	C₂²⋊C₄×C₃₇	—	2	2	no	—
422	C₂²⋊C₄×C₃₇	—	2	2	no	—
423	C₂²⋊C₄×C₃₇	—	2	2	no	—
424	C₂²⋊C₄×C₃₇	—	2	2	no	—
425	C₂²⋊C₄×C₃₇	—	2	1	no	—
426	C₂²⋊C₄×C₃₇	—	2	1	no	—
427	C₂²⋊C₄×C₃₇	—	2	1	no	—
428	C₂²⋊C₄×C₃₇	—	2	2	no	—
429	C₂²⋊C₄×C₃₇	—	2	2	no	—
430	C₂²⋊C₄×C₃₇	—	2	1	no	—
431	C₂²⋊C₄×C₃₇	—	2	2	no	—
432	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
433	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
434	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
435	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
436	C₄²×C₃₇	—	2	1	no	—
437	C₄²×C₃₇	—	2	2	no	—
438	C₄²×C₃₇	—	2	1	no	—
439	C₄²×C₃₇	—	2	2	no	—
440	C₄²×C₃₇	—	2	2	no	—
441	C₄²×C₃₇	—	2	1	no	—
442	C₄²×C₃₇	—	2	2	no	—
443	C₄²×C₃₇	—	2	1	no	—
444	C₄²×C₃₇	C₂×D₄	1	1	yes	characteristic
445	C₄²×C₃₇	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
447	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
448	C₂³×C₃₇	—	2	4	no	—
449	C₂³×C₃₇	—	2	1	no	—
450	C₂³×C₃₇	—	2	1	no	—
451	C₂³×C₃₇	—	2	2	no	—
452	C₂³×C₃₇	—	4	2	no	—
453	C₂³×C₃₇	—	4	2	no	—
454	C₂³×C₃₇	—	4	4	no	—
455	C₂³×C₃₇	—	8	2	no	—
456	C₂³×C₃₇	—	8	2	no	—
457	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
458	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
459	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
460	Q₈×C₃₇	—	2	1	no	—
461	Q₈×C₃₇	—	2	1	no	—
462	Q₈×C₃₇	—	2	1	no	—
463	Q₈×C₃₇	—	2	1	no	—
464	Q₈×C₃₇	—	4	2	no	—
465	Q₈×C₃₇	—	8	1	no	—
466	Q₈×C₃₇	—	8	1	no	—
467	D₄×C₃₇	—	2	4	no	—
468	D₄×C₃₇	—	2	2	no	—
469	D₄×C₃₇	—	2	1	no	—
470	D₄×C₃₇	—	2	1	no	—
471	D₄×C₃₇	—	2	1	no	—
472	D₄×C₃₇	—	2	2	no	—
473	D₄×C₃₇	—	2	1	no	—
474	D₄×C₃₇	—	2	2	no	—
475	D₄×C₃₇	—	4	2	no	—
476	D₄×C₃₇	—	4	4	no	—
477	D₄×C₃₇	—	4	2	no	—
478	D₄×C₃₇	—	4	4	no	—
479	D₄×C₃₇	—	4	4	no	—
480	D₄×C₃₇	—	4	2	no	—
481	D₄×C₃₇	—	8	2	no	—
482	D₄×C₃₇	—	8	1	no	—
483	D₄×C₃₇	—	8	2	no	—
484	D₄×C₃₇	—	8	2	no	—
485	D₄×C₃₇	—	8	2	no	—
486	D₄×C₃₇	—	8	2	no	—
487	D₄×C₃₇	#135	1	4	yes	—
488	C₂×C₄×C₃₇	—	2	2	no	—
489	C₂×C₄×C₃₇	—	2	2	no	—
490	C₂×C₄×C₃₇	—	2	2	no	—
491	C₂×C₄×C₃₇	—	2	2	no	—
492	C₂×C₄×C₃₇	—	2	2	no	—
493	C₂×C₄×C₃₇	—	2	1	no	—
494	C₂×C₄×C₃₇	—	2	1	no	—
495	C₂×C₄×C₃₇	—	2	1	no	—
496	C₂×C₄×C₃₇	—	2	1	no	—
497	C₂×C₄×C₃₇	—	2	1	no	—
498	C₂×C₄×C₃₇	—	2	1	no	—
499	C₂×C₄×C₃₇	—	2	2	no	—
500	C₂×C₄×C₃₇	—	2	2	no	—
501	C₂×C₄×C₃₇	—	2	1	no	—
502	C₂×C₄×C₃₇	—	2	2	no	—
503	C₂×C₄×C₃₇	—	2	1	no	—
504	C₂×C₄×C₃₇	—	4	2	no	—
505	C₂×C₄×C₃₇	—	4	2	no	—
506	C₂×C₄×C₃₇	—	4	2	no	—
507	C₂×C₄×C₃₇	—	4	1	no	—
508	C₂×C₄×C₃₇	—	4	2	no	—
509	C₂×C₄×C₃₇	—	4	4	no	—
510	C₂×C₄×C₃₇	—	4	2	no	—
511	C₂×C₄×C₃₇	—	4	2	no	—
512	C₂×C₄×C₃₇	—	8	1	no	—
513	C₂×C₄×C₃₇	—	8	2	no	—
514	C₂×C₄×C₃₇	—	8	2	no	—
515	C₂×C₄×C₃₇	—	8	2	no	—
516	C₂×C₄×C₃₇	—	8	2	no	—
517	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
519	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
522	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
523	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
524	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
525	C₈×C₃₇	—	2	2	no	—
526	C₈×C₃₇	—	2	1	no	—
527	C₈×C₃₇	—	2	1	no	—
528	C₈×C₃₇	—	2	2	no	—
529	C₈×C₃₇	—	2	1	no	—
530	C₈×C₃₇	—	2	1	no	—
531	#61702	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
532	C₂²×C₃₇	—	2	2	no	—
533	C₂²×C₃₇	—	2	2	no	—
534	C₂²×C₃₇	—	2	1	no	—
535	C₂²×C₃₇	—	2	2	no	—
536	C₂²×C₃₇	—	2	1	no	—
537	C₂²×C₃₇	—	2	2	no	—
538	C₂²×C₃₇	—	2	1	no	—
539	C₂²×C₃₇	—	2	2	no	—
540	C₂²×C₃₇	—	4	2	no	—
541	C₂²×C₃₇	—	4	1	no	—
542	C₂²×C₃₇	—	4	1	no	—
543	C₂²×C₃₇	—	4	1	no	—
544	C₂²×C₃₇	—	4	2	no	—
545	C₂²×C₃₇	—	4	1	no	—
546	C₂²×C₃₇	—	4	1	no	—
547	C₂²×C₃₇	—	4	1	no	—
548	C₂²×C₃₇	—	4	2	no	—
549	C₂²×C₃₇	—	8	4	no	—
550	C₂²×C₃₇	—	16	4	no	—
551	C₂²×C₃₇	C₂×#135	1	4	yes	—
552	C₂²×C₃₇	C₂³×D₄	1	1	yes	characteristic
553	C₄×C₃₇	—	2	1	no	—
554	C₄×C₃₇	—	2	1	no	—
555	C₄×C₃₇	—	2	1	no	—
556	C₄×C₃₇	—	2	2	no	—
557	C₄×C₃₇	—	2	2	no	—
558	C₄×C₃₇	—	2	1	no	—
559	C₄×C₃₇	—	4	1	no	—
560	C₄×C₃₇	—	4	1	no	—
561	C₄×C₃₇	—	4	2	no	—
562	C₄×C₃₇	—	4	2	no	—
563	C₄×C₃₇	—	4	1	no	—
564	C₄×C₃₇	—	4	1	no	—
565	C₄×C₃₇	—	4	1	no	—
566	C₄×C₃₇	—	4	1	no	—
567	C₄×C₃₇	—	4	2	no	—
568	C₄×C₃₇	C₂×#135	1	2	yes	—
569	C₄×C₃₇	#585	1	1	yes	characteristic
570	C₄×C₃₇	#585	1	1	yes	characteristic
571	#3519	C₂×C₃₇	1	1	yes	characteristic, complemented
572	#3475	C₂×C₃₇	1	1	yes	characteristic, complemented
573	#3341	C₂×C₃₇	1	1	yes	characteristic, complemented
574	#3340	C₂×C₃₇	1	1	yes	characteristic, complemented
575	#3339	C₂×C₃₇	1	2	yes	complemented
576	#3338	C₂×C₃₇	1	1	yes	characteristic, complemented
577	#3337	C₂×C₃₇	1	2	yes	complemented
578	#3335	C₂×C₃₇	1	1	yes	characteristic, complemented
579	#3305	C₂×C₃₇	1	1	yes	characteristic, complemented
580	#3304	C₂×C₃₇	1	1	yes	characteristic, complemented
581	#3297	C₂×C₃₇	1	2	yes	complemented
582	#3296	C₂×C₃₇	1	2	yes	complemented
583	#3295	C₂×C₃₇	1	1	yes	characteristic, complemented
584	#3294	C₂×C₃₇	1	1	yes	characteristic, complemented
585	#3233	C₂×C₃₇	1	1	yes	characteristic, complemented
586	#3228	C₂×C₃₇	1	1	yes	characteristic, complemented
587	#3191	C₂×C₃₇	1	2	yes	complemented
588	#3188	C₂×C₃₇	1	2	yes	complemented
589	#3106	C₂×C₃₇	1	1	yes	characteristic, complemented
590	#3102	C₂×C₃₇	1	1	yes	characteristic, complemented
591	#3091	C₂×C₃₇	1	2	yes	complemented
592	C₂×#482	C₂×C₃₇	1	2	yes	complemented
593	#2972	C₂×C₃₇	1	1	yes	characteristic, complemented
594	C₂×C₃₇	—	2	4	no	—
595	C₂×C₃₇	—	4	2	no	—
596	C₂×C₃₇	—	4	1	no	—
597	C₂×C₃₇	—	8	1	no	—
598	C₂×C₃₇	—	8	2	no	—
599	C₂×C₃₇	—	8	1	no	—
600	C₂×C₃₇	#3485	1	1	yes	characteristic
601	C₂×C₃₇	C₂²×#135	1	1	yes	characteristic
602	C₂×C₃₇	#3585	1	1	yes	characteristic
603	#556	C₂²×C₃₇	1	1	yes	characteristic, complemented
604	#555	C₂²×C₃₇	1	1	yes	characteristic
605	#555	C₂²×C₃₇	1	1	yes	characteristic, complemented
606	#554	C₂²×C₃₇	1	1	yes	characteristic
607	#554	C₂²×C₃₇	1	1	yes	characteristic
608	#553	—	2	1	no	—
609	#553	C₂²×C₃₇	1	2	yes	—
610	#553	C₂²×C₃₇	1	2	yes	complemented
611	#552	—	2	1	no	—
612	#552	C₂²×C₃₇	1	2	yes	complemented
613	#551	—	2	2	no	—
614	#550	C₂²×C₃₇	1	1	yes	characteristic
615	#547	C₂²×C₃₇	1	1	yes	characteristic
616	#546	—	2	1	no	—
617	#546	—	2	2	no	—
618	#546	C₂²×C₃₇	1	2	yes	—
619	D₄²	—	2	1	no	—
620	D₄²	C₂²×C₃₇	1	1	yes	characteristic
621	#540	—	2	1	no	—
622	#538	—	2	2	no	—
623	#533	C₂²×C₃₇	1	1	yes	characteristic, complemented
624	#532	C₂²×C₃₇	1	1	yes	characteristic
625	#529	—	2	2	no	—
626	#529	—	2	1	no	—
627	#529	C₂²×C₃₇	1	1	yes	characteristic
628	#525	C₂²×C₃₇	1	2	yes	—
629	#525	C₂²×C₃₇	1	2	yes	complemented
630	C₂×#121	C₂²×C₃₇	1	2	yes	—
631	#518	—	2	1	no	—
632	C₄×#41	—	2	1	no	—
633	C₄×#41	C₂²×C₃₇	1	1	yes	characteristic, complemented
634	C₂×C₄×D₄	C₂²×C₃₇	1	1	yes	characteristic
635	C₂×#117	C₂²×C₃₇	1	2	yes	complemented
636	#500	C₂²×C₃₇	1	1	yes	characteristic, complemented
637	#499	C₂²×C₃₇	1	2	yes	complemented
638	#498	C₂²×C₃₇	1	1	yes	characteristic, complemented
639	#488	C₂²×C₃₇	1	2	yes	complemented
640	#486	C₂²×C₃₇	1	1	yes	characteristic, complemented
641	#486	C₂²×C₃₇	1	1	yes	characteristic, complemented
642	#485	C₂²×C₃₇	1	2	yes	complemented
643	#485	C₂²×C₃₇	1	1	yes	characteristic, complemented
644	#485	C₂²×C₃₇	1	2	yes	complemented
645	#484	C₂²×C₃₇	1	2	yes	complemented
646	#484	C₂²×C₃₇	1	2	yes	complemented
647	#483	C₂²×C₃₇	1	2	yes	complemented
648	#482	C₂²×C₃₇	1	1	yes	characteristic
649	#482	C₂²×C₃₇	1	2	yes	—
650	#482	C₂²×C₃₇	1	2	yes	complemented
651	#482	C₂²×C₃₇	1	2	yes	complemented
652	#482	C₂²×C₃₇	1	2	yes	complemented
653	#482	C₂²×C₃₇	1	2	yes	complemented
654	#482	C₂²×C₃₇	1	2	yes	complemented
655	#482	C₂²×C₃₇	1	2	yes	complemented
656	#482	C₂²×C₃₇	1	2	yes	complemented
657	#482	C₂²×C₃₇	1	2	yes	complemented
658	#481	C₂²×C₃₇	1	2	yes	complemented
659	#481	C₂²×C₃₇	1	2	yes	complemented
660	#480	C₂²×C₃₇	1	2	yes	complemented
661	#479	C₂²×C₃₇	1	1	yes	characteristic, complemented
662	#478	C₂²×C₃₇	1	2	yes	complemented
663	#478	C₂²×C₃₇	1	1	yes	characteristic, complemented
664	#478	C₂²×C₃₇	1	2	yes	complemented
665	#477	C₂²×C₃₇	1	1	yes	characteristic, complemented
666	#477	C₂²×C₃₇	1	1	yes	characteristic, complemented
667	#476	C₂²×C₃₇	1	1	yes	characteristic, complemented
668	#476	C₂²×C₃₇	1	1	yes	characteristic, complemented
669	#475	C₂²×C₃₇	1	1	yes	characteristic, complemented
670	#474	C₂²×C₃₇	1	1	yes	characteristic, complemented
671	#467	C₂²×C₃₇	1	2	yes	complemented
672	#466	C₂²×C₃₇	1	2	yes	complemented
673	#466	C₂²×C₃₇	1	2	yes	complemented
674	#466	C₂²×C₃₇	1	2	yes	complemented
675	#465	C₂²×C₃₇	1	2	yes	complemented
676	#465	C₂²×C₃₇	1	2	yes	complemented
677	#465	C₂²×C₃₇	1	2	yes	complemented
678	#465	C₂²×C₃₇	1	2	yes	complemented
679	#464	C₂²×C₃₇	1	1	yes	characteristic, complemented
680	#463	C₂²×C₃₇	1	1	yes	characteristic, complemented
681	#460	C₂²×C₃₇	1	1	yes	characteristic, complemented
682	#459	C₂²×C₃₇	1	1	yes	characteristic, complemented
683	#452	C₂²×C₃₇	1	1	yes	characteristic, complemented
684	#452	C₂²×C₃₇	1	2	yes	complemented
685	#450	C₂²×C₃₇	1	2	yes	complemented
686	#449	C₂²×C₃₇	1	1	yes	characteristic
687	#449	C₂²×C₃₇	1	2	yes	complemented
688	#449	C₂²×C₃₇	1	2	yes	complemented
689	#447	C₂²×C₃₇	1	2	yes	complemented
690	C₄×Q₁₆	C₂²×C₃₇	1	1	yes	characteristic, complemented
691	C₄×SD₁₆	C₂²×C₃₇	1	1	yes	characteristic, complemented
692	C₄×SD₁₆	C₂²×C₃₇	1	2	yes	complemented
693	C₄×SD₁₆	C₂²×C₃₇	1	1	yes	characteristic, complemented
694	C₄×D₈	C₂²×C₃₇	1	2	yes	complemented
695	C₄×D₈	C₂²×C₃₇	1	1	yes	characteristic, complemented
696	C₈×D₄	C₂²×C₃₇	1	1	yes	characteristic
697	C₈×D₄	C₂²×C₃₇	1	1	yes	characteristic
698	C₈×D₄	C₂²×C₃₇	1	2	yes	complemented
699	C₈×D₄	C₂²×C₃₇	1	2	yes	complemented
700	C₈×D₄	C₂²×C₃₇	1	1	yes	characteristic, complemented
701	C₈×D₄	C₂²×C₃₇	1	1	yes	characteristic, complemented
702	#431	C₂²×C₃₇	1	1	yes	characteristic, complemented
703	#431	C₂²×C₃₇	1	1	yes	characteristic, complemented
704	#427	C₂²×C₃₇	1	2	yes	complemented
705	#427	C₂²×C₃₇	1	2	yes	complemented
706	C₂×#107	C₂²×C₃₇	1	2	yes	complemented
707	C₂×#106	C₂²×C₃₇	1	2	yes	complemented
708	#416	C₂²×C₃₇	1	2	yes	complemented
709	#416	C₂²×C₃₇	1	2	yes	complemented
710	C₂×#102	C₂²×C₃₇	1	2	yes	complemented
711	C₂×#102	C₂²×C₃₇	1	2	yes	complemented
712	C₂×C₂²⋊C₈	C₂²×C₃₇	1	2	yes	complemented
713	C₂×C₂²⋊C₈	C₂²×C₃₇	1	2	yes	complemented
714	C₃₇	#61702	1	1	yes	characteristic, direct product factor, Sylow
715	C₂×#41	—	2	1	no	—
716	C₂×#41	—	2	1	no	—
717	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
718	C₂×#41	C₂³×C₃₇	1	2	yes	—
719	C₂²×D₄	—	2	2	no	—
720	C₂²×D₄	—	2	1	no	—
721	C₂²×D₄	D₄×C₃₇	1	1	yes	characteristic
722	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
723	C₂³×C₄	C₂³×C₃₇	1	2	yes	—
724	C₂×Q₁₆	C₂³×C₃₇	1	1	yes	characteristic
725	C₂×SD₁₆	C₂³×C₃₇	1	1	yes	characteristic
726	C₂×SD₁₆	C₂³×C₃₇	1	1	yes	characteristic
727	C₂×SD₁₆	C₂³×C₃₇	1	2	yes	—
728	C₂×D₈	C₂³×C₃₇	1	1	yes	characteristic
729	C₂×D₈	C₂³×C₃₇	1	2	yes	—
730	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
731	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
732	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
733	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
734	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
735	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
736	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
737	#127	—	2	1	no	—
738	#127	C₂³×C₃₇	1	1	yes	characteristic
739	#126	—	2	2	no	—
740	#126	—	2	2	no	—
741	#126	—	2	2	no	—
742	#126	—	2	2	no	—
743	#126	—	2	1	no	—
744	#125	—	2	2	no	—
745	#125	—	2	1	no	—
746	#125	—	2	1	no	—
747	#125	C₂³×C₃₇	1	1	yes	characteristic
748	#125	C₂³×C₃₇	1	2	yes	—
749	#124	—	2	1	no	—
750	#124	—	2	2	no	—
751	#124	—	2	2	no	—
752	#124	—	2	1	no	—
753	#124	C₂³×C₃₇	1	1	yes	characteristic
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	#123	—	2	2	no	—
757	#123	—	2	1	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	C₂²⋊Q₈	—	2	1	no	—
763	C₂²⋊Q₈	—	2	1	no	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
768	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
769	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
770	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
771	#121	—	2	2	no	—
772	#121	—	2	1	no	—
773	#121	—	2	2	no	—
774	#121	—	2	1	no	—
775	#121	—	2	2	no	—
776	#121	—	2	2	no	—
777	#121	—	2	1	no	—
778	#121	—	2	1	no	—
779	#121	—	2	2	no	—
780	#121	—	2	2	no	—
781	#121	C₂³×C₃₇	1	1	yes	characteristic
782	#121	C₂³×C₃₇	1	2	yes	—
783	#121	C₂³×C₃₇	1	2	yes	—
784	#121	C₂³×C₃₇	1	2	yes	—
785	#121	C₂³×C₃₇	1	2	yes	—
786	#121	C₂³×C₃₇	1	2	yes	—
787	#121	C₂³×C₃₇	1	2	yes	—
788	#120	—	2	2	no	—
789	#120	—	2	2	no	—
790	#120	—	2	2	no	—
791	#120	—	2	2	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	—	2	1	no	—
795	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
796	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	2	no	—
804	C₄×D₄	—	2	2	no	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	2	no	—
809	C₄×D₄	—	2	2	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	D₄×C₃₇	1	1	yes	characteristic
812	C₄×D₄	D₄×C₃₇	1	2	yes	—
813	C₄×D₄	D₄×C₃₇	1	1	yes	characteristic
814	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
815	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
816	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
817	C₄×D₄	C₂³×C₃₇	1	2	yes	—
818	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
819	C₄×D₄	C₂³×C₃₇	1	2	yes	—
820	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
821	#117	—	2	2	no	—
822	#117	—	2	2	no	—
823	#117	—	2	1	no	—
824	#117	—	2	1	no	—
825	#117	—	2	2	no	—
826	#117	—	2	1	no	—
827	#117	—	2	1	no	—
828	#117	C₂³×C₃₇	1	1	yes	characteristic
829	#117	C₂³×C₃₇	1	2	yes	—
830	#117	C₂³×C₃₇	1	2	yes	—
831	#117	C₂³×C₃₇	1	2	yes	—
832	#117	C₂³×C₃₇	1	2	yes	—
833	C₂×C₄⋊C₄	D₄×C₃₇	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
835	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
836	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
837	C₂×C₂²⋊C₄	—	2	2	no	—
838	C₂×C₂²⋊C₄	—	2	2	no	—
839	C₂×C₂²⋊C₄	—	2	2	no	—
840	C₂×C₂²⋊C₄	D₄×C₃₇	1	2	yes	—
841	C₂×C₄²	—	2	2	no	—
842	C₂×C₄²	—	2	1	no	—
843	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
844	#107	C₂³×C₃₇	1	1	yes	characteristic
845	#107	C₂³×C₃₇	1	2	yes	—
846	#107	C₂³×C₃₇	1	2	yes	—
847	#107	C₂³×C₃₇	1	2	yes	—
848	#107	C₂³×C₃₇	1	1	yes	characteristic
849	#107	C₂³×C₃₇	1	2	yes	—
850	#107	C₂³×C₃₇	1	2	yes	—
851	#106	C₂³×C₃₇	1	1	yes	characteristic
852	#106	C₂³×C₃₇	1	2	yes	—
853	#106	C₂³×C₃₇	1	2	yes	—
854	#106	C₂³×C₃₇	1	2	yes	—
855	#106	C₂³×C₃₇	1	1	yes	characteristic
856	#106	C₂³×C₃₇	1	2	yes	—
857	#106	C₂³×C₃₇	1	2	yes	—
858	C₄⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
859	C₄⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
860	C₄⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
861	C₄⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
862	#103	C₂³×C₃₇	1	1	yes	characteristic
863	#103	C₂³×C₃₇	1	1	yes	characteristic
864	#103	C₂³×C₃₇	1	2	yes	—
865	#103	C₂³×C₃₇	1	2	yes	—
866	#103	C₂³×C₃₇	1	2	yes	—
867	#103	C₂³×C₃₇	1	1	yes	characteristic
868	#103	C₂³×C₃₇	1	1	yes	characteristic
869	#102	C₂³×C₃₇	1	1	yes	characteristic
870	#102	C₂³×C₃₇	1	1	yes	characteristic
871	#102	C₂³×C₃₇	1	2	yes	—
872	#102	C₂³×C₃₇	1	2	yes	—
873	#102	C₂³×C₃₇	1	2	yes	—
874	#102	C₂³×C₃₇	1	2	yes	—
875	#102	C₂³×C₃₇	1	2	yes	—
876	#102	C₂³×C₃₇	1	2	yes	—
877	#102	C₂³×C₃₇	1	2	yes	—
878	#102	C₂³×C₃₇	1	2	yes	—
879	#102	C₂³×C₃₇	1	2	yes	—
880	#102	C₂³×C₃₇	1	1	yes	characteristic
881	#102	C₂³×C₃₇	1	1	yes	characteristic
882	C₂²⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
883	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
884	C₂²⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
885	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
886	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
887	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
888	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
889	C₄×C₈	C₂³×C₃₇	1	1	yes	characteristic
890	C₄×C₈	C₂³×C₃₇	1	1	yes	characteristic
891	C₄×C₈	C₂³×C₃₇	1	2	yes	—
892	C₂⁴	—	2	2	no	—
893	C₂⁴	C₂×D₄×C₃₇	1	2	yes	—
894	#41	—	4	1	no	—
895	#41	—	4	1	no	—
896	#41	—	4	2	no	—
897	#41	—	4	2	no	—
898	#41	—	4	4	no	—
899	#41	—	8	2	no	—
900	C₂×Q₈	—	2	1	no	—
901	C₂×Q₈	—	2	1	no	—
902	C₂×Q₈	—	2	1	no	—
903	C₂×Q₈	C₂⁴×C₃₇	1	1	yes	characteristic
904	C₂×Q₈	C₂⁴×C₃₇	1	1	yes	characteristic
905	C₂×D₄	—	2	4	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	1	no	—
908	C₂×D₄	—	2	2	no	—
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	1	no	—
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	4	2	no	—
919	C₂×D₄	—	4	2	no	—
920	C₂×D₄	—	4	4	no	—
921	C₂×D₄	—	8	4	no	—
922	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
923	C₂×D₄	C₂×D₄×C₃₇	1	1	yes	characteristic
924	C₂×D₄	C₂×D₄×C₃₇	1	1	yes	characteristic
925	C₂×D₄	C₂⁴×C₃₇	1	1	yes	characteristic
926	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
927	C₂×D₄	C₂⁴×C₃₇	1	1	yes	characteristic
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	1	no	—
932	C₂²×C₄	—	2	1	no	—
933	C₂²×C₄	—	2	1	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	4	2	no	—
938	C₂²×C₄	—	4	2	no	—
939	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
940	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
941	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
942	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
943	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
944	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
945	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
946	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
947	Q₁₆	—	4	1	no	—
948	SD₁₆	—	4	1	no	—
949	SD₁₆	—	4	1	no	—
950	SD₁₆	—	4	2	no	—
951	D₈	—	4	2	no	—
952	D₈	—	4	1	no	—
953	C₂×C₈	—	4	2	no	—
954	C₂×C₈	—	4	2	no	—
955	C₂×C₈	—	4	2	no	—
956	C₂×C₈	—	4	2	no	—
957	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
958	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
959	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
960	C₂×C₈	C₂⁴×C₃₇	1	2	yes	—
961	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
962	C₂×C₈	C₂⁴×C₃₇	1	2	yes	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
981	C₄⋊C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
982	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
983	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
984	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
985	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
986	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
987	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
988	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
989	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	1	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	1	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
1013	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
1014	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
1015	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
1016	C₄²	—	2	1	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	—	2	1	no	—
1019	C₄²	—	2	2	no	—
1020	C₄²	—	2	2	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	2	no	—
1023	C₄²	—	2	1	no	—
1024	C₄²	C₂×D₄×C₃₇	1	1	yes	characteristic
1025	C₄²	C₂×D₄×C₃₇	1	1	yes	characteristic
1026	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
1027	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
1028	C₂³	—	2	4	no	—
1029	C₂³	—	2	1	no	—
1030	C₂³	—	2	1	no	—
1031	C₂³	—	2	2	no	—
1032	C₂³	—	4	2	no	—
1033	C₂³	—	4	2	no	—
1034	C₂³	—	4	4	no	—
1035	C₂³	—	8	2	no	—
1036	C₂³	—	8	2	no	—
1037	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
1038	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
1039	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
1040	Q₈	—	2	1	no	—
1041	Q₈	—	2	1	no	—
1042	Q₈	—	2	1	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	4	2	no	—
1045	Q₈	—	8	1	no	—
1046	Q₈	—	8	1	no	—
1047	D₄	—	2	4	no	—
1048	D₄	—	2	2	no	—
1049	D₄	—	2	1	no	—
1050	D₄	—	2	1	no	—
1051	D₄	—	2	1	no	—
1052	D₄	—	2	2	no	—
1053	D₄	—	2	1	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	4	4	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	4	4	no	—
1059	D₄	—	4	4	no	—
1060	D₄	—	4	2	no	—
1061	D₄	—	8	2	no	—
1062	D₄	—	8	1	no	—
1063	D₄	—	8	2	no	—
1064	D₄	—	8	2	no	—
1065	D₄	—	8	2	no	—
1066	D₄	—	8	2	no	—
1067	D₄	#135×C₃₇	1	4	yes	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	2	no	—
1087	C₂×C₄	—	4	1	no	—
1088	C₂×C₄	—	4	2	no	—
1089	C₂×C₄	—	4	4	no	—
1090	C₂×C₄	—	4	2	no	—
1091	C₂×C₄	—	4	2	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	—	8	2	no	—
1094	C₂×C₄	—	8	1	no	—
1095	C₂×C₄	—	8	2	no	—
1096	C₂×C₄	—	8	2	no	—
1097	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1098	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
1099	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1100	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1101	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1102	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
1103	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1104	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1105	C₈	—	2	2	no	—
1106	C₈	—	2	1	no	—
1107	C₈	—	2	1	no	—
1108	C₈	—	2	2	no	—
1109	C₈	—	2	1	no	—
1110	C₈	—	2	1	no	—
1111	C₂²	—	2	2	no	—
1112	C₂²	—	2	2	no	—
1113	C₂²	—	2	1	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	2	1	no	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	1	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	—	4	1	no	—
1122	C₂²	—	4	1	no	—
1123	C₂²	—	4	1	no	—
1124	C₂²	—	4	2	no	—
1125	C₂²	—	4	2	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	1	no	—
1128	C₂²	—	8	4	no	—
1129	C₂²	—	16	4	no	—
1130	C₂²	C₂×#135×C₃₇	1	4	yes	—
1131	C₂²	C₂³×D₄×C₃₇	1	1	yes	characteristic
1132	C₄	—	2	1	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	2	no	—
1135	C₄	—	2	1	no	—
1136	C₄	—	2	1	no	—
1137	C₄	—	2	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	2	no	—
1143	C₄	—	4	1	no	—
1144	C₄	—	4	1	no	—
1145	C₄	—	4	2	no	—
1146	C₄	—	4	2	no	—
1147	C₄	C₂×#135×C₃₇	1	2	yes	—
1148	C₄	C₃₇×#585	1	1	yes	characteristic
1149	C₄	C₃₇×#585	1	1	yes	characteristic
1150	C₂	—	2	4	no	—
1151	C₂	—	4	1	no	—
1152	C₂	—	4	2	no	—
1153	C₂	—	8	1	no	—
1154	C₂	—	8	2	no	—
1155	C₂	—	8	1	no	—
1156	C₂	C₃₇×#3485	1	1	yes	characteristic
1157	C₂	C₂²×#135×C₃₇	1	1	yes	characteristic
1158	C₂	C₃₇×#3585	1	1	yes	characteristic

	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 ◁ C₂×C₄×D₄×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₇×#3519	C₂	semidirect
2. C₃₇×#3475	C₂	semidirect
3. C₃₇×#3341	C₂	semidirect
4. C₃₇×#3340	C₂	semidirect
5. C₃₇×#3339	C₂	semidirect
6. C₃₇×#3338	C₂	semidirect
7. C₃₇×#3337	C₂	semidirect
8. C₃₇×#3335	C₂	semidirect
9. C₃₇×#3305	C₂	semidirect
10. C₃₇×#3304	C₂	semidirect
11. C₃₇×#3297	C₂	semidirect
12. C₃₇×#3296	C₂	semidirect
13. C₃₇×#3295	C₂	semidirect
14. C₃₇×#3294	C₂	semidirect
15. C₃₇×#3233	C₂	semidirect
16. C₃₇×#3228	C₂	semidirect
17. C₃₇×#3191	C₂	semidirect
18. C₃₇×#3188	C₂	semidirect
19. C₃₇×#3106	C₂	semidirect
20. C₃₇×#3102	C₂	semidirect
21. C₃₇×#3091	C₂	semidirect
22. C₂×C₃₇×#482	C₂	semidirect
23. C₃₇×#2972	C₂	semidirect
24. C₃₇×#556	C₂²	semidirect
26. C₃₇×#555	C₂²	semidirect
31. C₃₇×#553	C₂²	semidirect
33. C₃₇×#552	C₂²	semidirect
44. C₃₇×#533	C₂²	semidirect
50. C₃₇×#525	C₂²	semidirect
54. C₄×#41×C₃₇	C₂²	semidirect
56. C₂×#117×C₃₇	C₂²	semidirect
57. C₃₇×#500	C₂²	semidirect
58. C₃₇×#499	C₂²	semidirect
59. C₃₇×#498	C₂²	semidirect
60. C₃₇×#488	C₂²	semidirect
61. C₃₇×#486	C₂²	semidirect
62. C₃₇×#486	C₂²	semidirect
63. C₃₇×#485	C₂²	semidirect
64. C₃₇×#485	C₂²	semidirect
65. C₃₇×#485	C₂²	semidirect
66. C₃₇×#484	C₂²	semidirect
67. C₃₇×#484	C₂²	semidirect
68. C₃₇×#483	C₂²	semidirect
71. C₃₇×#482	C₂²	semidirect
72. C₃₇×#482	C₂²	semidirect
73. C₃₇×#482	C₂²	semidirect
74. C₃₇×#482	C₂²	semidirect
75. C₃₇×#482	C₂²	semidirect
76. C₃₇×#482	C₂²	semidirect
77. C₃₇×#482	C₂²	semidirect
78. C₃₇×#482	C₂²	semidirect
79. C₃₇×#481	C₂²	semidirect
80. C₃₇×#481	C₂²	semidirect
81. C₃₇×#480	C₂²	semidirect
82. C₃₇×#479	C₂²	semidirect
83. C₃₇×#478	C₂²	semidirect
84. C₃₇×#478	C₂²	semidirect
85. C₃₇×#478	C₂²	semidirect
86. C₃₇×#477	C₂²	semidirect
87. C₃₇×#477	C₂²	semidirect
88. C₃₇×#476	C₂²	semidirect
89. C₃₇×#476	C₂²	semidirect
90. C₃₇×#475	C₂²	semidirect
91. C₃₇×#474	C₂²	semidirect
92. C₃₇×#467	C₂²	semidirect
93. C₃₇×#466	C₂²	semidirect
94. C₃₇×#466	C₂²	semidirect
95. C₃₇×#466	C₂²	semidirect
96. C₃₇×#465	C₂²	semidirect
97. C₃₇×#465	C₂²	semidirect
98. C₃₇×#465	C₂²	semidirect
99. C₃₇×#465	C₂²	semidirect
100. C₃₇×#464	C₂²	semidirect
101. C₃₇×#463	C₂²	semidirect
102. C₃₇×#460	C₂²	semidirect
103. C₃₇×#459	C₂²	semidirect
104. C₃₇×#452	C₂²	semidirect
105. C₃₇×#452	C₂²	semidirect
106. C₃₇×#450	C₂²	semidirect
108. C₃₇×#449	C₂²	semidirect
109. C₃₇×#449	C₂²	semidirect
110. C₃₇×#447	C₂²	semidirect
111. C₄×Q₁₆×C₃₇	C₂²	semidirect
112. C₄×SD₁₆×C₃₇	C₂²	semidirect
113. C₄×SD₁₆×C₃₇	C₂²	semidirect
114. C₄×SD₁₆×C₃₇	C₂²	semidirect
115. C₄×D₈×C₃₇	C₂²	semidirect
116. C₄×D₈×C₃₇	C₂²	semidirect
119. C₈×D₄×C₃₇	C₂²	semidirect
120. C₈×D₄×C₃₇	C₂²	semidirect
121. C₈×D₄×C₃₇	C₂²	semidirect
122. C₈×D₄×C₃₇	C₂²	semidirect
123. C₃₇×#431	C₂²	semidirect
124. C₃₇×#431	C₂²	semidirect
125. C₃₇×#427	C₂²	semidirect
126. C₃₇×#427	C₂²	semidirect
127. C₂×#107×C₃₇	C₂²	semidirect
128. C₂×#106×C₃₇	C₂²	semidirect
129. C₃₇×#416	C₂²	semidirect
130. C₃₇×#416	C₂²	semidirect
131. C₂×#102×C₃₇	C₂²	semidirect
132. C₂×#102×C₃₇	C₂²	semidirect
133. C₂×C₂²⋊C₈×C₃₇	C₂²	semidirect
134. C₂×C₂²⋊C₈×C₃₇	C₂²	semidirect
531. #61702	C₃₇	direct (N × H)
571. #3519	C₂×C₃₇	semidirect
572. #3475	C₂×C₃₇	semidirect
573. #3341	C₂×C₃₇	semidirect
574. #3340	C₂×C₃₇	semidirect
575. #3339	C₂×C₃₇	semidirect
576. #3338	C₂×C₃₇	semidirect
577. #3337	C₂×C₃₇	semidirect
578. #3335	C₂×C₃₇	semidirect
579. #3305	C₂×C₃₇	semidirect
580. #3304	C₂×C₃₇	semidirect
581. #3297	C₂×C₃₇	semidirect
582. #3296	C₂×C₃₇	semidirect
583. #3295	C₂×C₃₇	semidirect
584. #3294	C₂×C₃₇	semidirect
585. #3233	C₂×C₃₇	semidirect
586. #3228	C₂×C₃₇	semidirect
587. #3191	C₂×C₃₇	semidirect
588. #3188	C₂×C₃₇	semidirect
589. #3106	C₂×C₃₇	semidirect
590. #3102	C₂×C₃₇	semidirect
591. #3091	C₂×C₃₇	semidirect
592. C₂×#482	C₂×C₃₇	semidirect
593. #2972	C₂×C₃₇	semidirect
603. #556	C₂²×C₃₇	semidirect
605. #555	C₂²×C₃₇	semidirect
610. #553	C₂²×C₃₇	semidirect
612. #552	C₂²×C₃₇	semidirect
623. #533	C₂²×C₃₇	semidirect
629. #525	C₂²×C₃₇	semidirect
633. C₄×#41	C₂²×C₃₇	semidirect
635. C₂×#117	C₂²×C₃₇	semidirect
636. #500	C₂²×C₃₇	semidirect
637. #499	C₂²×C₃₇	semidirect
638. #498	C₂²×C₃₇	semidirect
639. #488	C₂²×C₃₇	semidirect
640. #486	C₂²×C₃₇	semidirect
641. #486	C₂²×C₃₇	semidirect
642. #485	C₂²×C₃₇	semidirect
643. #485	C₂²×C₃₇	semidirect
644. #485	C₂²×C₃₇	semidirect
645. #484	C₂²×C₃₇	semidirect
646. #484	C₂²×C₃₇	semidirect
647. #483	C₂²×C₃₇	semidirect
650. #482	C₂²×C₃₇	semidirect
651. #482	C₂²×C₃₇	semidirect
652. #482	C₂²×C₃₇	semidirect
653. #482	C₂²×C₃₇	semidirect
654. #482	C₂²×C₃₇	semidirect
655. #482	C₂²×C₃₇	semidirect
656. #482	C₂²×C₃₇	semidirect
657. #482	C₂²×C₃₇	semidirect
658. #481	C₂²×C₃₇	semidirect
659. #481	C₂²×C₃₇	semidirect
660. #480	C₂²×C₃₇	semidirect
661. #479	C₂²×C₃₇	semidirect
662. #478	C₂²×C₃₇	semidirect
663. #478	C₂²×C₃₇	semidirect
664. #478	C₂²×C₃₇	semidirect
665. #477	C₂²×C₃₇	semidirect
666. #477	C₂²×C₃₇	semidirect
667. #476	C₂²×C₃₇	semidirect
668. #476	C₂²×C₃₇	semidirect
669. #475	C₂²×C₃₇	semidirect
670. #474	C₂²×C₃₇	semidirect
671. #467	C₂²×C₃₇	semidirect
672. #466	C₂²×C₃₇	semidirect
673. #466	C₂²×C₃₇	semidirect
674. #466	C₂²×C₃₇	semidirect
675. #465	C₂²×C₃₇	semidirect
676. #465	C₂²×C₃₇	semidirect
677. #465	C₂²×C₃₇	semidirect
678. #465	C₂²×C₃₇	semidirect
679. #464	C₂²×C₃₇	semidirect
680. #463	C₂²×C₃₇	semidirect
681. #460	C₂²×C₃₇	semidirect
682. #459	C₂²×C₃₇	semidirect
683. #452	C₂²×C₃₇	semidirect
684. #452	C₂²×C₃₇	semidirect
685. #450	C₂²×C₃₇	semidirect
687. #449	C₂²×C₃₇	semidirect
688. #449	C₂²×C₃₇	semidirect
689. #447	C₂²×C₃₇	semidirect
690. C₄×Q₁₆	C₂²×C₃₇	semidirect
691. C₄×SD₁₆	C₂²×C₃₇	semidirect
692. C₄×SD₁₆	C₂²×C₃₇	semidirect
693. C₄×SD₁₆	C₂²×C₃₇	semidirect
694. C₄×D₈	C₂²×C₃₇	semidirect
695. C₄×D₈	C₂²×C₃₇	semidirect
698. C₈×D₄	C₂²×C₃₇	semidirect
699. C₈×D₄	C₂²×C₃₇	semidirect
700. C₈×D₄	C₂²×C₃₇	semidirect
701. C₈×D₄	C₂²×C₃₇	semidirect
702. #431	C₂²×C₃₇	semidirect
703. #431	C₂²×C₃₇	semidirect
704. #427	C₂²×C₃₇	semidirect
705. #427	C₂²×C₃₇	semidirect
706. C₂×#107	C₂²×C₃₇	semidirect
707. C₂×#106	C₂²×C₃₇	semidirect
708. #416	C₂²×C₃₇	semidirect
709. #416	C₂²×C₃₇	semidirect
710. C₂×#102	C₂²×C₃₇	semidirect
711. C₂×#102	C₂²×C₃₇	semidirect
712. C₂×C₂²⋊C₈	C₂²×C₃₇	semidirect
713. C₂×C₂²⋊C₈	C₂²×C₃₇	semidirect
714. C₃₇	#61702	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×#3519	2
C₃₇×#3475	2
C₃₇×#3341	2
C₃₇×#3340	2
C₃₇×#3339	2
C₃₇×#3338	2
C₃₇×#3337	2
C₃₇×#3335	2
C₃₇×#3305	2
C₃₇×#3304	2
C₃₇×#3297	2
C₃₇×#3296	2
C₃₇×#3295	2
C₃₇×#3294	2
C₃₇×#3233	2
C₃₇×#3228	2
C₃₇×#3191	2
C₃₇×#3188	2
C₃₇×#3106	2
C₃₇×#3102	2
C₃₇×#3091	2
C₂×C₃₇×#482	2
C₃₇×#2972	2
#61702	37

Subgroups — C37×#61702 #22682955

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#61702 #22682955