Subgroups — #11910944

Order 1152.

3498 conjugacy classes of subgroups.

The subgroup lattice has 1623 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	#10596182	C₂	1	1	yes	maximal, characteristic, complemented
3	#10596180	C₂	1	1	yes	maximal, characteristic, complemented
4	#10596175	C₂	1	1	yes	maximal, characteristic, complemented
5	#10596175	C₂	1	1	yes	maximal, characteristic, complemented
6	#10596171	C₂	1	1	yes	maximal, characteristic, complemented
7	#10596168	C₂	1	1	yes	maximal, characteristic, complemented
8	#10596166	C₂	1	1	yes	maximal, characteristic, complemented
9	#10596163	C₂	1	1	yes	maximal, characteristic, complemented
10	#10596137	C₂	1	1	yes	maximal, characteristic, complemented
11	#10596134	C₂	1	1	yes	maximal, characteristic, complemented
12	#10596127	C₂	1	1	yes	maximal, characteristic, complemented
13	#10596125	C₂	1	1	yes	maximal, characteristic, complemented
14	#10596124	C₂	1	1	yes	maximal, characteristic, complemented
15	#10596124	C₂	1	1	yes	maximal, characteristic, complemented
16	#10596124	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃⋊D₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
18	#10596118	C₂	1	1	yes	maximal, characteristic, complemented
19	#10596115	C₂	1	1	yes	maximal, characteristic, complemented
20	#10596108	C₂	1	1	yes	maximal, characteristic, complemented
21	#10596101	C₂	1	1	yes	maximal, characteristic, complemented
22	#10596101	C₂	1	1	yes	maximal, characteristic, complemented
23	#10596100	C₂	1	1	yes	maximal, characteristic, complemented
24	#10596081	C₂	1	1	yes	maximal, characteristic, complemented
25	#10596080	C₂	1	1	yes	maximal, characteristic, complemented
26	#10596027	C₂	1	1	yes	maximal, characteristic, complemented
27	#10596025	C₂	1	1	yes	maximal, characteristic, complemented
28	#10596021	C₂	1	1	yes	maximal, characteristic, complemented
29	D₄×C₄⋊(C₃⋊D₃)	C₂	1	1	yes	maximal, characteristic, complemented
30	#10595986	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#64104	C₂	1	1	yes	maximal, characteristic, complemented
32	#86458	—	3	4	no	maximal
33	C₂×#3832	C₂²	1	1	yes	characteristic, complemented
34	C₂×#3830	C₂²	1	1	yes	characteristic, complemented
35	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
36	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×#3828	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
45	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
46	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
47	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
48	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
49	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
50	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
51	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
52	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
53	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
56	C₃²×#121	C₂²	1	1	yes	characteristic
57	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
58	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
60	#64156	C₂²	1	1	yes	characteristic, complemented
61	#64156	C₂²	1	1	yes	characteristic, complemented
62	#64155	C₂²	1	1	yes	characteristic, complemented
63	#64149	C₂²	1	1	yes	characteristic, complemented
64	#64148	C₂²	1	1	yes	characteristic, complemented
65	#64146	C₂²	1	1	yes	characteristic
66	#64146	C₂²	1	1	yes	characteristic, complemented
67	#64146	C₂²	1	1	yes	characteristic, complemented
68	#64146	C₂²	1	1	yes	characteristic, complemented
69	#64144	C₂²	1	1	yes	characteristic, complemented
70	#64139	C₂²	1	1	yes	characteristic
71	#64139	C₂²	1	1	yes	characteristic, complemented
72	#64139	C₂²	1	1	yes	characteristic, complemented
73	#64139	C₂²	1	1	yes	characteristic, complemented
74	#64138	C₂²	1	1	yes	characteristic, complemented
75	#64138	C₂²	1	1	yes	characteristic, complemented
76	#64138	C₂²	1	1	yes	characteristic, complemented
77	C₄×#638	C₂²	1	1	yes	characteristic, complemented
78	C₄×#638	C₂²	1	1	yes	characteristic, complemented
79	C₄×#638	C₂²	1	1	yes	characteristic, complemented
80	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
81	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
82	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
83	#64133	C₂²	1	1	yes	characteristic, complemented
84	#64107	C₂²	1	1	yes	characteristic, complemented
85	#64107	C₂²	1	1	yes	characteristic, complemented
86	#64107	C₂²	1	1	yes	characteristic, complemented
87	#64107	C₂²	1	1	yes	characteristic, complemented
88	#64107	C₂²	1	1	yes	characteristic, complemented
89	#64106	C₂²	1	1	yes	characteristic, complemented
90	#64105	C₂²	1	1	yes	characteristic, complemented
91	#64105	C₂²	1	1	yes	characteristic, complemented
92	#64105	C₂²	1	1	yes	characteristic, complemented
93	#64105	C₂²	1	1	yes	characteristic, complemented
94	#64105	C₂²	1	1	yes	characteristic, complemented
95	#64105	C₂²	1	1	yes	characteristic, complemented
96	#64104	C₂²	1	1	yes	characteristic
97	#64104	C₂²	1	1	yes	characteristic, complemented
98	#64104	C₂²	1	1	yes	characteristic, complemented
99	#64104	C₂²	1	1	yes	characteristic, complemented
100	#64104	C₂²	1	1	yes	characteristic, complemented
101	#64104	C₂²	1	1	yes	characteristic, complemented
102	#64104	C₂²	1	1	yes	characteristic, complemented
103	#64104	C₂²	1	1	yes	characteristic, complemented
104	#64104	C₂²	1	1	yes	characteristic, complemented
105	#64104	C₂²	1	1	yes	characteristic, complemented
106	#64104	C₂²	1	1	yes	characteristic, complemented
107	#64104	C₂²	1	1	yes	characteristic, complemented
108	#64104	C₂²	1	1	yes	characteristic, complemented
109	#64104	C₂²	1	1	yes	characteristic, complemented
110	#64104	C₂²	1	1	yes	characteristic, complemented
111	#64104	C₂²	1	1	yes	characteristic, complemented
112	#64104	C₂²	1	1	yes	characteristic, complemented
113	#64104	C₂²	1	1	yes	characteristic, complemented
114	#64104	C₂²	1	1	yes	characteristic, complemented
115	#64103	C₂²	1	1	yes	characteristic, complemented
116	#64103	C₂²	1	1	yes	characteristic, complemented
117	#64103	C₂²	1	1	yes	characteristic, complemented
118	#64103	C₂²	1	1	yes	characteristic, complemented
119	#64103	C₂²	1	1	yes	characteristic, complemented
120	#64103	C₂²	1	1	yes	characteristic, complemented
121	#64103	C₂²	1	1	yes	characteristic, complemented
122	#64103	C₂²	1	1	yes	characteristic, complemented
123	#64103	C₂²	1	1	yes	characteristic, complemented
124	#64103	C₂²	1	1	yes	characteristic, complemented
125	#64103	C₂²	1	1	yes	characteristic, complemented
126	#64103	C₂²	1	1	yes	characteristic, complemented
127	#64103	C₂²	1	1	yes	characteristic, complemented
128	#64103	C₂²	1	1	yes	characteristic, complemented
129	#64103	C₂²	1	1	yes	characteristic, complemented
130	#64102	C₂²	1	1	yes	characteristic, complemented
131	#64102	C₂²	1	1	yes	characteristic, complemented
132	#64102	C₂²	1	1	yes	characteristic, complemented
133	#64102	C₂²	1	1	yes	characteristic, complemented
134	#64102	C₂²	1	1	yes	characteristic, complemented
135	#64101	C₂²	1	1	yes	characteristic, complemented
136	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
137	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
138	#64098	C₂²	1	1	yes	characteristic, complemented
139	#64098	C₂²	1	1	yes	characteristic, complemented
140	#64095	C₂²	1	1	yes	characteristic, complemented
141	#64095	C₂²	1	1	yes	characteristic, complemented
142	#64094	C₂²	1	1	yes	characteristic, complemented
143	#64094	C₂²	1	1	yes	characteristic, complemented
144	#64093	C₂²	1	1	yes	characteristic, complemented
145	#64093	C₂²	1	1	yes	characteristic, complemented
146	#64093	C₂²	1	1	yes	characteristic, complemented
147	#64093	C₂²	1	1	yes	characteristic, complemented
148	#64093	C₂²	1	1	yes	characteristic, complemented
149	#64093	C₂²	1	1	yes	characteristic, complemented
150	#64093	C₂²	1	1	yes	characteristic, complemented
151	#64093	C₂²	1	1	yes	characteristic, complemented
152	#64093	C₂²	1	1	yes	characteristic, complemented
153	#64093	C₂²	1	1	yes	characteristic, complemented
154	#64093	C₂²	1	1	yes	characteristic, complemented
155	#64092	C₂²	1	1	yes	characteristic, complemented
156	#64092	C₂²	1	1	yes	characteristic, complemented
157	#64092	C₂²	1	1	yes	characteristic, complemented
158	#64091	C₂²	1	1	yes	characteristic
159	#64091	C₂²	1	1	yes	characteristic, complemented
160	#64091	C₂²	1	1	yes	characteristic, complemented
161	#64091	C₂²	1	1	yes	characteristic, complemented
162	#64091	C₂²	1	1	yes	characteristic, complemented
163	#64091	C₂²	1	1	yes	characteristic, complemented
164	#64091	C₂²	1	1	yes	characteristic, complemented
165	#64091	C₂²	1	1	yes	characteristic, complemented
166	#64091	C₂²	1	1	yes	characteristic, complemented
167	#64091	C₂²	1	1	yes	characteristic, complemented
168	#64091	C₂²	1	1	yes	characteristic, complemented
169	#64091	C₂²	1	1	yes	characteristic, complemented
170	#64090	C₂²	1	1	yes	characteristic, complemented
171	#64090	C₂²	1	1	yes	characteristic, complemented
172	#64090	C₂²	1	1	yes	characteristic, complemented
173	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
174	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
175	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
176	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
177	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
178	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
179	#64086	C₂²	1	1	yes	characteristic, complemented
180	#64085	C₂²	1	1	yes	characteristic, complemented
181	#64084	C₂²	1	1	yes	characteristic, complemented
182	#64084	C₂²	1	1	yes	characteristic, complemented
183	#64083	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
187	#64081	C₂²	1	1	yes	characteristic, complemented
188	C₃×#539	D₃	1	4	yes	complemented
189	#5711	—	3	4	no	—
190	#5709	—	3	4	no	—
191	#5704	—	3	4	no	—
192	#5704	—	3	4	no	—
193	#5700	—	3	4	no	—
194	#5697	—	3	4	no	—
195	#5695	—	3	4	no	—
196	#5692	—	3	4	no	—
197	#5666	—	3	4	no	—
198	#5663	—	3	4	no	—
199	#5656	—	3	4	no	—
200	#5654	—	3	4	no	—
201	#5653	—	3	4	no	—
202	#5653	—	3	4	no	—
203	#5653	—	3	4	no	—
204	D₃×#123	—	3	4	no	—
205	#5647	—	3	4	no	—
206	#5644	—	3	4	no	—
207	#5637	—	3	4	no	—
208	#5630	—	3	4	no	—
209	#5630	—	3	4	no	—
210	#5629	—	3	4	no	—
211	#5610	—	3	4	no	—
212	#5609	—	3	4	no	—
213	#5556	—	3	4	no	—
214	#5554	—	3	4	no	—
215	#5550	—	3	4	no	—
216	D₄×D₁₂	—	3	4	no	—
217	#5515	—	3	4	no	—
218	C₂×#895	—	3	4	no	—
219	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
220	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
221	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
222	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
223	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
224	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
225	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
226	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
227	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
228	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
229	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
230	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
231	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
232	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
233	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
234	C₂×#638	C₂³	1	1	yes	characteristic
235	C₂×#638	C₂³	1	1	yes	characteristic
236	C₂×#638	C₂³	1	1	yes	characteristic
237	C₂×#638	C₂³	1	1	yes	characteristic
238	C₂×#638	C₂³	1	1	yes	characteristic
239	C₂×#638	C₂³	1	1	yes	characteristic
240	C₂×#638	C₂³	1	1	yes	characteristic
241	C₂×#638	C₂³	1	1	yes	characteristic
242	C₂×#638	C₂³	1	1	yes	characteristic
243	C₂×#638	C₂³	1	1	yes	characteristic
244	C₂×#638	C₂³	1	1	yes	characteristic
245	C₂×#638	C₂³	1	1	yes	characteristic
246	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
247	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
248	#3832	—	4	2	no	—
249	#3830	—	4	2	no	—
250	D₄×C₃⋊D₃	—	4	2	no	—
251	D₄×C₃⋊D₃	—	4	2	no	—
252	D₄×C₃⋊D₃	—	4	2	no	—
253	D₄×C₃⋊D₃	—	4	2	no	—
254	#3828	—	4	2	no	—
255	C₂×C₄⋊(C₃⋊D₃)	—	4	2	no	—
256	C₂×C₄⋊(C₃⋊D₃)	—	4	2	no	—
257	C₂×C₄⋊(C₃⋊D₃)	—	4	2	no	—
258	C₂×C₄⋊(C₃⋊D₃)	—	4	2	no	—
259	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
281	C₂×C₄×C₃⋊D₃	—	4	2	no	—
282	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
298	C₂×#634	C₂³	1	1	yes	characteristic
299	C₂×#634	C₂³	1	1	yes	characteristic
300	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₃²×C₄²	C₂³	1	1	yes	characteristic
325	C₃²×C₄²	C₂³	1	1	yes	characteristic
326	#3757	C₂³	1	1	yes	characteristic
327	#3757	C₂³	1	1	yes	characteristic
328	#3757	C₂³	1	1	yes	characteristic
329	#3757	C₂³	1	1	yes	characteristic
330	#3752	C₂³	1	1	yes	characteristic
331	#3752	C₂³	1	1	yes	characteristic
332	#3752	C₂³	1	1	yes	characteristic
333	#3752	C₂³	1	1	yes	characteristic
334	#3752	C₂³	1	1	yes	characteristic
335	#3752	C₂³	1	1	yes	characteristic
336	#3752	C₂³	1	1	yes	characteristic
337	#3752	C₂³	1	1	yes	characteristic
338	#3752	C₂³	1	1	yes	characteristic
339	#3752	C₂³	1	1	yes	characteristic
340	#3752	C₂³	1	1	yes	characteristic
341	#3752	C₂³	1	1	yes	characteristic
342	#3752	C₂³	1	1	yes	characteristic
343	#3752	C₂³	1	1	yes	characteristic
344	#3752	C₂³	1	1	yes	characteristic
345	#3752	C₂³	1	1	yes	characteristic
346	#3752	C₂³	1	1	yes	characteristic
347	#3752	C₂³	1	1	yes	characteristic
348	#3752	C₂³	1	1	yes	characteristic
349	#3752	C₂³	1	1	yes	characteristic
350	#3752	C₂³	1	1	yes	characteristic
351	#3752	C₂³	1	1	yes	characteristic
352	#3752	C₂³	1	1	yes	characteristic
353	#3752	C₂³	1	1	yes	characteristic
354	#3752	C₂³	1	1	yes	characteristic
355	#3752	C₂³	1	1	yes	characteristic
356	#3752	C₂³	1	1	yes	characteristic
357	#3752	C₂³	1	1	yes	characteristic
358	#3752	C₂³	1	1	yes	characteristic
359	#3752	C₂³	1	1	yes	characteristic
360	#3752	C₂³	1	1	yes	characteristic
361	#3752	C₂³	1	1	yes	characteristic
362	#3752	C₂³	1	1	yes	characteristic
363	#3752	C₂³	1	1	yes	characteristic
364	#3752	C₂³	1	1	yes	characteristic
365	#3752	C₂³	1	1	yes	characteristic
366	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
367	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
368	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
369	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
370	#3750	C₂³	1	1	yes	characteristic
371	#3750	C₂³	1	1	yes	characteristic
372	#3750	C₂³	1	1	yes	characteristic
373	#3750	C₂³	1	1	yes	characteristic
374	#3750	C₂³	1	1	yes	characteristic
375	#3750	C₂³	1	1	yes	characteristic
376	#3750	C₂³	1	1	yes	characteristic
377	#3750	C₂³	1	1	yes	characteristic
378	#3750	C₂³	1	1	yes	characteristic
379	#3750	C₂³	1	1	yes	characteristic
380	#3750	C₂³	1	1	yes	characteristic
381	#3750	C₂³	1	1	yes	characteristic
382	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
383	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
384	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
385	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
386	#3534	—	9	1	no	Sylow
387	C₂×#239	—	3	4	no	—
388	C₂×#237	—	3	4	no	—
389	C₂×D₃×D₄	—	3	4	no	—
390	C₂×D₃×D₄	—	3	4	no	—
391	C₂×D₃×D₄	—	3	4	no	—
392	C₂×D₃×D₄	—	3	4	no	—
393	C₂×#235	—	3	4	no	—
394	C₂²×D₁₂	—	3	4	no	—
395	C₂²×D₁₂	—	3	4	no	—
396	C₂²×D₁₂	—	3	4	no	—
397	C₂²×D₁₂	—	3	4	no	—
398	C₂²×C₄×D₃	—	3	4	no	—
399	C₃×#126	C₂×D₃	1	4	yes	complemented
400	C₃×#126	C₂×D₃	1	4	yes	complemented
401	C₃×#125	C₂×D₃	1	4	yes	complemented
402	C₃×#125	C₂×D₃	1	4	yes	complemented
403	C₃×#123	C₂×D₃	1	4	yes	complemented
404	C₃×#123	C₂×D₃	1	4	yes	complemented
405	C₃×#123	C₂×D₃	1	4	yes	complemented
406	C₃×#123	C₂×D₃	1	4	yes	complemented
407	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
408	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
409	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
410	C₃×#121	C₂×D₃	1	4	yes	—
411	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
412	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
413	C₂×C₃×C₄⋊C₄	C₂×D₃	1	4	yes	complemented
414	#947	—	3	4	no	—
415	#947	—	3	4	no	—
416	#946	—	3	4	no	—
417	#940	—	3	4	no	—
418	#939	—	3	4	no	—
419	#937	—	3	4	no	—
420	#937	—	3	4	no	—
421	#937	—	3	4	no	—
422	#937	—	3	4	no	—
423	#935	—	3	4	no	—
424	#930	—	3	4	no	—
425	#930	—	3	4	no	—
426	#930	—	3	4	no	—
427	#930	—	3	4	no	—
428	#929	—	3	4	no	—
429	#929	—	3	4	no	—
430	#929	—	3	4	no	—
431	C₄×#67	—	3	4	no	—
432	C₄×#67	—	3	4	no	—
433	C₄×#67	—	3	4	no	—
434	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
435	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
436	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
437	#924	—	3	4	no	—
438	#898	—	3	4	no	—
439	#898	—	3	4	no	—
440	#898	—	3	4	no	—
441	#898	—	3	4	no	—
442	#898	—	3	4	no	—
443	#897	—	3	4	no	—
444	#896	—	3	4	no	—
445	#896	—	3	4	no	—
446	#896	—	3	4	no	—
447	#896	—	3	4	no	—
448	#896	—	3	4	no	—
449	#896	—	3	4	no	—
450	#895	—	3	4	no	—
451	#895	—	3	4	no	—
452	#895	—	3	4	no	—
453	#895	—	3	4	no	—
454	#895	—	3	4	no	—
455	#895	—	3	4	no	—
456	#895	—	3	4	no	—
457	#895	—	3	4	no	—
458	#895	—	3	4	no	—
459	#895	—	3	4	no	—
460	#895	—	3	4	no	—
461	#895	—	3	4	no	—
462	#895	—	3	4	no	—
463	#895	—	3	4	no	—
464	#895	—	3	4	no	—
465	#895	—	3	4	no	—
466	#895	—	3	4	no	—
467	#895	—	3	4	no	—
468	#895	—	3	4	no	—
469	#894	—	3	4	no	—
470	#894	—	3	4	no	—
471	#894	—	3	4	no	—
472	#894	—	3	4	no	—
473	#894	—	3	4	no	—
474	#894	—	3	4	no	—
475	#894	—	3	4	no	—
476	#894	—	3	4	no	—
477	#894	—	3	4	no	—
478	#894	—	3	4	no	—
479	#894	—	3	4	no	—
480	#894	—	3	4	no	—
481	#894	—	3	4	no	—
482	#894	—	3	4	no	—
483	#894	—	3	4	no	—
484	#893	—	3	4	no	—
485	#893	—	3	4	no	—
486	#893	—	3	4	no	—
487	#893	—	3	4	no	—
488	#893	—	3	4	no	—
489	#892	—	3	4	no	—
490	D₃×C₄⋊C₄	—	3	4	no	—
491	D₃×C₄⋊C₄	—	3	4	no	—
492	#889	—	3	4	no	—
493	#889	—	3	4	no	—
494	#886	—	3	4	no	—
495	#886	—	3	4	no	—
496	#885	—	3	4	no	—
497	#885	—	3	4	no	—
498	#884	—	3	4	no	—
499	#884	—	3	4	no	—
500	#884	—	3	4	no	—
501	#884	—	3	4	no	—
502	#884	—	3	4	no	—
503	#884	—	3	4	no	—
504	#884	—	3	4	no	—
505	#884	—	3	4	no	—
506	#884	—	3	4	no	—
507	#884	—	3	4	no	—
508	#884	—	3	4	no	—
509	#883	—	3	4	no	—
510	#883	—	3	4	no	—
511	#883	—	3	4	no	—
512	#882	—	3	4	no	—
513	#882	—	3	4	no	—
514	#882	—	3	4	no	—
515	#882	—	3	4	no	—
516	#882	—	3	4	no	—
517	#882	—	3	4	no	—
518	#882	—	3	4	no	—
519	#882	—	3	4	no	—
520	#882	—	3	4	no	—
521	#882	—	3	4	no	—
522	#882	—	3	4	no	—
523	#882	—	3	4	no	—
524	#67⋊C₄	—	3	4	no	—
525	#67⋊C₄	—	3	4	no	—
526	#67⋊C₄	—	3	4	no	—
527	D₃×C₂²⋊C₄	—	3	4	no	—
528	D₃×C₂²⋊C₄	—	3	4	no	—
529	D₃×C₂²⋊C₄	—	3	4	no	—
530	D₃×C₂²⋊C₄	—	3	4	no	—
531	D₃×C₂²⋊C₄	—	3	4	no	—
532	D₃×C₂²⋊C₄	—	3	4	no	—
533	#877	—	3	4	no	—
534	#876	—	3	4	no	—
535	#875	—	3	4	no	—
536	#875	—	3	4	no	—
537	#874	—	3	4	no	—
538	C₄×D₁₂	—	3	4	no	—
539	C₄×D₁₂	—	3	4	no	—
540	C₄×D₁₂	—	3	4	no	—
541	#872	—	3	4	no	—
542	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
543	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
544	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
545	C₂²×C₃⋊D₃	—	2	2	no	—
546	C₂²×C₃⋊D₃	—	2	2	no	—
547	C₂²×C₃⋊D₃	—	2	2	no	—
548	C₂²×C₃⋊D₃	—	2	2	no	—
549	C₂²×C₃⋊D₃	—	2	2	no	—
550	C₂²×C₃⋊D₃	—	4	1	no	—
551	C₂²×C₃⋊D₃	—	4	1	no	—
552	C₂²×C₃⋊D₃	—	4	1	no	—
553	C₂²×C₃⋊D₃	—	4	1	no	—
554	C₂²×C₃⋊D₃	—	4	1	no	—
555	C₂²×C₃⋊D₃	—	4	1	no	—
556	C₂²×C₃⋊D₃	—	4	1	no	—
557	C₂²×C₃⋊D₃	—	4	1	no	—
558	C₂²×C₃⋊D₃	—	4	1	no	—
559	C₂²×C₃⋊D₃	—	4	1	no	—
560	C₂²×C₃⋊D₃	—	4	1	no	—
561	C₂²×C₃⋊D₃	—	4	1	no	—
562	C₂²×C₃⋊D₃	—	4	1	no	—
563	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
564	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
565	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
566	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
567	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
568	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
569	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
570	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
571	C₃²×Q₈	—	4	1	no	—
572	C₃²×D₄	—	2	2	no	—
573	C₃²×D₄	—	2	2	no	—
574	C₃²×D₄	—	4	1	no	—
575	C₂×C₃²×C₄	—	2	2	no	—
576	C₂×C₃²×C₄	—	4	1	no	—
577	C₂×C₃²×C₄	—	4	1	no	—
578	C₂×C₃²×C₄	—	4	1	no	—
579	C₂×C₃²×C₄	—	4	1	no	—
580	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
581	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
582	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
583	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
584	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
585	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
586	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
587	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
588	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
589	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
590	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
591	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
592	#638	—	2	2	no	—
593	#638	—	2	2	no	—
594	#638	—	2	2	no	—
595	#638	—	4	1	no	—
596	#638	—	4	1	no	—
597	#638	—	4	1	no	—
598	#638	—	4	1	no	—
599	#638	—	4	1	no	—
600	#638	—	4	1	no	—
601	#638	—	4	1	no	—
602	#638	—	4	1	no	—
603	#638	—	4	1	no	—
604	C₂×C₃⋊Dic₃	—	2	2	no	—
605	C₂×C₃⋊Dic₃	—	4	1	no	—
606	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
612	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
614	C₄⋊(C₃⋊D₃)	—	2	2	no	—
615	C₄⋊(C₃⋊D₃)	—	2	2	no	—
616	C₄⋊(C₃⋊D₃)	—	2	2	no	—
617	C₄⋊(C₃⋊D₃)	—	2	2	no	—
618	C₄⋊(C₃⋊D₃)	—	2	2	no	—
619	C₄⋊(C₃⋊D₃)	—	4	1	no	—
620	C₄⋊(C₃⋊D₃)	—	4	1	no	—
621	C₄⋊(C₃⋊D₃)	—	4	1	no	—
622	C₄⋊(C₃⋊D₃)	—	4	1	no	—
623	C₄⋊(C₃⋊D₃)	—	4	1	no	—
624	C₄⋊(C₃⋊D₃)	—	4	1	no	—
625	C₄⋊(C₃⋊D₃)	—	4	1	no	—
626	C₄⋊(C₃⋊D₃)	—	4	1	no	—
627	C₄⋊(C₃⋊D₃)	—	4	1	no	—
628	C₄⋊(C₃⋊D₃)	—	4	1	no	—
629	C₄⋊(C₃⋊D₃)	—	4	1	no	—
630	C₄⋊(C₃⋊D₃)	—	4	1	no	—
631	C₄⋊(C₃⋊D₃)	—	4	1	no	—
632	C₄⋊(C₃⋊D₃)	—	4	1	no	—
633	C₄⋊(C₃⋊D₃)	—	4	1	no	—
634	C₄⋊(C₃⋊D₃)	—	4	1	no	—
635	C₄⋊(C₃⋊D₃)	—	4	1	no	—
636	C₄×C₃⋊D₃	—	2	2	no	—
637	C₄×C₃⋊D₃	—	4	1	no	—
638	C₄×C₃⋊D₃	—	4	1	no	—
639	C₄×C₃⋊D₃	—	4	1	no	—
640	C₄×C₃⋊D₃	—	4	1	no	—
641	C₄×C₃⋊D₃	—	4	1	no	—
642	C₄×C₃⋊D₃	—	4	1	no	—
643	C₄×C₃⋊D₃	—	4	1	no	—
644	C₄×C₃⋊D₃	—	4	1	no	—
645	C₄×C₃⋊D₃	—	4	1	no	—
646	C₄×C₃⋊D₃	—	4	1	no	—
647	C₄×C₃⋊D₃	—	4	1	no	—
648	C₄×C₃⋊D₃	—	4	1	no	—
649	C₄×C₃⋊D₃	—	4	1	no	—
650	C₄×C₃⋊D₃	—	4	1	no	—
651	C₄×C₃⋊D₃	—	4	1	no	—
652	#634	—	4	1	no	—
653	#634	—	4	1	no	—
654	#562	—	9	1	no	—
655	#562	—	9	1	no	—
656	#560	—	9	1	no	—
657	#560	—	9	1	no	—
658	#553	—	9	1	no	—
659	#553	—	9	1	no	—
660	#551	—	9	1	no	—
661	#551	—	9	1	no	—
662	#546	—	9	1	no	—
663	#546	—	9	1	no	—
664	#546	—	9	1	no	—
665	#546	—	9	1	no	—
666	#546	—	9	1	no	—
667	#546	—	9	1	no	—
668	D₄²	—	9	1	no	—
669	D₄²	—	9	1	no	—
670	#540	—	9	1	no	—
671	#540	—	9	1	no	—
672	#539	—	9	1	no	—
673	#539	—	9	1	no	—
674	#539	C₃⋊D₃	1	1	yes	characteristic, complemented
675	#538	—	9	1	no	—
676	#538	—	9	1	no	—
677	#538	—	9	1	no	—
678	#537	—	9	1	no	—
679	#534	—	9	1	no	—
680	#534	—	9	1	no	—
681	#534	—	9	1	no	—
682	#525	—	9	1	no	—
683	C₂×#123	—	9	1	no	—
684	C₂×#121	—	9	1	no	—
685	C₂³×D₃	—	3	4	no	—
686	C₂³×D₃	—	3	4	no	—
687	C₂³×D₃	—	3	4	no	—
688	C₂³×D₃	—	3	4	no	—
689	C₂³×D₃	—	3	4	no	—
690	C₂³×D₃	—	3	4	no	—
691	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	—
692	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
693	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
694	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
695	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
696	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
697	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
698	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
699	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
700	C₂×#67	—	3	4	no	—
701	C₂×#67	—	3	4	no	—
702	C₂×#67	—	3	4	no	—
703	C₂×#67	—	3	4	no	—
704	C₂×#67	—	3	4	no	—
705	C₂×#67	—	3	4	no	—
706	C₂×#67	—	3	4	no	—
707	C₂×#67	—	3	4	no	—
708	C₂×#67	—	3	4	no	—
709	C₂×#67	—	3	4	no	—
710	C₂×#67	—	3	4	no	—
711	C₂×#67	—	3	4	no	—
712	C₂²×Dic₃	—	3	4	no	—
713	C₂²×Dic₃	—	3	4	no	—
714	#239	—	12	8	no	—
715	#237	—	12	8	no	—
716	D₃×D₄	—	12	8	no	—
717	D₃×D₄	—	12	8	no	—
718	D₃×D₄	—	12	8	no	—
719	D₃×D₄	—	12	8	no	—
720	#235	—	12	8	no	—
721	C₂×D₁₂	—	3	4	no	—
722	C₂×D₁₂	—	3	4	no	—
723	C₂×D₁₂	—	3	4	no	—
724	C₂×D₁₂	—	3	4	no	—
725	C₂×D₁₂	—	3	4	no	—
726	C₂×D₁₂	—	3	4	no	—
727	C₂×D₁₂	—	3	4	no	—
728	C₂×D₁₂	—	3	4	no	—
729	C₂×D₁₂	—	3	4	no	—
730	C₂×D₁₂	—	3	4	no	—
731	C₂×D₁₂	—	3	4	no	—
732	C₂×D₁₂	—	3	4	no	—
733	C₂×D₁₂	—	3	4	no	—
734	C₂×D₁₂	—	3	4	no	—
735	C₂×D₁₂	—	3	4	no	—
736	C₂×D₁₂	—	3	4	no	—
737	C₂×D₁₂	—	3	4	no	—
738	C₂×D₁₂	—	3	4	no	—
739	C₂×D₁₂	—	3	4	no	—
740	C₂×D₁₂	—	3	4	no	—
741	C₂×D₁₂	—	3	4	no	—
742	C₂×D₁₂	—	3	4	no	—
743	C₂×D₁₂	—	12	8	no	—
744	C₂×D₁₂	—	12	8	no	—
745	C₂×D₁₂	—	12	8	no	—
746	C₂×D₁₂	—	12	8	no	—
747	C₂×C₄×D₃	—	3	4	no	—
748	C₂×C₄×D₃	—	3	4	no	—
749	C₂×C₄×D₃	—	3	4	no	—
750	C₂×C₄×D₃	—	3	4	no	—
751	C₂×C₄×D₃	—	3	4	no	—
752	C₂×C₄×D₃	—	3	4	no	—
753	C₂×C₄×D₃	—	3	4	no	—
754	C₂×C₄×D₃	—	3	4	no	—
755	C₂×C₄×D₃	—	3	4	no	—
756	C₂×C₄×D₃	—	3	4	no	—
757	C₂×C₄×D₃	—	3	4	no	—
758	C₂×C₄×D₃	—	3	4	no	—
759	C₂×C₄×D₃	—	3	4	no	—
760	C₂×C₄×D₃	—	3	4	no	—
761	C₂×C₄×D₃	—	3	4	no	—
762	C₂×C₄×D₃	—	3	4	no	—
763	C₂×C₄×D₃	—	12	8	no	—
764	C₂×Dic₆	—	3	4	no	—
765	C₂×Dic₆	—	3	4	no	—
766	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
767	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
768	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
769	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
770	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
771	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
772	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
773	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
774	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
775	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
776	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
777	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
778	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
779	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
780	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
781	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
782	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
783	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
784	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
785	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
786	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
787	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
788	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
789	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
790	C₃×C₄²	C₂²×D₃	1	4	yes	—
791	C₃×C₄²	C₂²×D₃	1	4	yes	—
792	#217	—	3	4	no	—
793	#217	—	3	4	no	—
794	#217	—	3	4	no	—
795	#217	—	3	4	no	—
796	(C₂×D₃)⋊C₄	—	3	4	no	—
797	(C₂×D₃)⋊C₄	—	3	4	no	—
798	(C₂×D₃)⋊C₄	—	3	4	no	—
799	(C₂×D₃)⋊C₄	—	3	4	no	—
800	(C₂×D₃)⋊C₄	—	3	4	no	—
801	(C₂×D₃)⋊C₄	—	3	4	no	—
802	(C₂×D₃)⋊C₄	—	3	4	no	—
803	(C₂×D₃)⋊C₄	—	3	4	no	—
804	(C₂×D₃)⋊C₄	—	3	4	no	—
805	(C₂×D₃)⋊C₄	—	3	4	no	—
806	(C₂×D₃)⋊C₄	—	3	4	no	—
807	(C₂×D₃)⋊C₄	—	3	4	no	—
808	(C₂×D₃)⋊C₄	—	3	4	no	—
809	(C₂×D₃)⋊C₄	—	3	4	no	—
810	(C₂×D₃)⋊C₄	—	3	4	no	—
811	(C₂×D₃)⋊C₄	—	3	4	no	—
812	(C₂×D₃)⋊C₄	—	3	4	no	—
813	(C₂×D₃)⋊C₄	—	3	4	no	—
814	(C₂×D₃)⋊C₄	—	3	4	no	—
815	(C₂×D₃)⋊C₄	—	3	4	no	—
816	(C₂×D₃)⋊C₄	—	3	4	no	—
817	(C₂×D₃)⋊C₄	—	3	4	no	—
818	(C₂×D₃)⋊C₄	—	3	4	no	—
819	(C₂×D₃)⋊C₄	—	3	4	no	—
820	(C₂×D₃)⋊C₄	—	3	4	no	—
821	(C₂×D₃)⋊C₄	—	3	4	no	—
822	(C₂×D₃)⋊C₄	—	3	4	no	—
823	(C₂×D₃)⋊C₄	—	3	4	no	—
824	(C₂×D₃)⋊C₄	—	3	4	no	—
825	(C₂×D₃)⋊C₄	—	3	4	no	—
826	(C₂×D₃)⋊C₄	—	3	4	no	—
827	(C₂×D₃)⋊C₄	—	3	4	no	—
828	(C₂×D₃)⋊C₄	—	3	4	no	—
829	(C₂×D₃)⋊C₄	—	3	4	no	—
830	(C₂×D₃)⋊C₄	—	3	4	no	—
831	(C₂×D₃)⋊C₄	—	3	4	no	—
832	C₄⋊Dic₃	—	3	4	no	—
833	C₄⋊Dic₃	—	3	4	no	—
834	C₄⋊Dic₃	—	3	4	no	—
835	C₄⋊Dic₃	—	3	4	no	—
836	Dic₃⋊C₄	—	3	4	no	—
837	Dic₃⋊C₄	—	3	4	no	—
838	Dic₃⋊C₄	—	3	4	no	—
839	Dic₃⋊C₄	—	3	4	no	—
840	Dic₃⋊C₄	—	3	4	no	—
841	Dic₃⋊C₄	—	3	4	no	—
842	Dic₃⋊C₄	—	3	4	no	—
843	Dic₃⋊C₄	—	3	4	no	—
844	Dic₃⋊C₄	—	3	4	no	—
845	Dic₃⋊C₄	—	3	4	no	—
846	Dic₃⋊C₄	—	3	4	no	—
847	Dic₃⋊C₄	—	3	4	no	—
848	C₄×Dic₃	—	3	4	no	—
849	C₄×Dic₃	—	3	4	no	—
850	C₄×Dic₃	—	3	4	no	—
851	C₄×Dic₃	—	3	4	no	—
852	C₂²×C₃²	—	2	1	no	—
853	C₂²×C₃²	—	2	1	no	—
854	C₂²×C₃²	—	2	1	no	—
855	C₂²×C₃²	—	2	1	no	—
856	C₂²×C₃²	—	2	1	no	—
857	C₂²×C₃²	—	2	1	no	—
858	C₂²×C₃²	—	2	1	no	—
859	C₂²×C₃²	—	2	1	no	—
860	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
861	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
862	C₂×C₃⋊D₃	—	2	1	no	—
863	C₂×C₃⋊D₃	—	2	1	no	—
864	C₂×C₃⋊D₃	—	2	1	no	—
865	C₂×C₃⋊D₃	—	2	1	no	—
866	C₂×C₃⋊D₃	—	2	1	no	—
867	C₂×C₃⋊D₃	—	2	1	no	—
868	C₂×C₃⋊D₃	—	2	1	no	—
869	C₂×C₃⋊D₃	—	2	1	no	—
870	C₂×C₃⋊D₃	—	2	1	no	—
871	C₂×C₃⋊D₃	—	2	1	no	—
872	C₂×C₃⋊D₃	—	2	1	no	—
873	C₂×C₃⋊D₃	—	2	1	no	—
874	C₂×C₃⋊D₃	—	2	1	no	—
875	C₂×C₃⋊D₃	—	2	1	no	—
876	C₂×C₃⋊D₃	—	2	1	no	—
877	C₂×C₃⋊D₃	—	2	1	no	—
878	C₂×C₃⋊D₃	—	2	1	no	—
879	C₂×C₃⋊D₃	—	2	1	no	—
880	C₂×C₃⋊D₃	—	2	1	no	—
881	C₂×C₃⋊D₃	—	2	1	no	—
882	C₂×C₃⋊D₃	—	2	1	no	—
883	C₂×C₃⋊D₃	—	2	1	no	—
884	C₂×C₃⋊D₃	—	2	1	no	—
885	C₂×C₃⋊D₃	—	4	4	no	—
886	C₂×C₃⋊D₃	—	8	2	no	—
887	C₂×C₃⋊D₃	—	8	2	no	—
888	C₂×C₃⋊D₃	—	8	2	no	—
889	C₂×C₃⋊D₃	—	8	2	no	—
890	C₂×C₃⋊D₃	—	8	2	no	—
891	C₂×C₃⋊D₃	H(5,𝔽₂)	1	2	yes	—
892	C₃²×C₄	—	2	1	no	—
893	C₃²×C₄	—	2	1	no	—
894	C₃²×C₄	—	2	1	no	—
895	C₃²×C₄	—	2	1	no	—
896	C₃²×C₄	—	2	1	no	—
897	C₃²×C₄	—	2	1	no	—
898	C₃²×C₄	—	2	1	no	—
899	C₃²×C₄	—	2	1	no	—
900	C₃²×C₄	—	2	1	no	—
901	C₃²×C₄	—	2	1	no	—
902	C₃²×C₄	—	2	1	no	—
903	C₃²×C₄	—	2	1	no	—
904	C₃⋊Dic₃	—	2	1	no	—
905	C₃⋊Dic₃	—	2	1	no	—
906	C₃⋊Dic₃	—	2	1	no	—
907	C₃⋊Dic₃	—	2	1	no	—
908	C₃⋊Dic₃	—	2	1	no	—
909	C₃⋊Dic₃	—	2	1	no	—
910	C₃⋊Dic₃	—	2	1	no	—
911	C₃⋊Dic₃	—	2	1	no	—
912	C₂×#41	—	9	1	no	—
913	C₂×#41	—	9	1	no	—
914	C₂×#41	—	9	1	no	—
915	C₂²×D₄	—	9	1	no	—
916	C₂²×D₄	—	9	1	no	—
917	C₂²×D₄	—	9	1	no	—
918	C₂²×D₄	—	9	1	no	—
919	C₂²×D₄	—	9	1	no	—
920	C₂²×D₄	—	9	1	no	—
921	C₂²×D₄	—	9	1	no	—
922	C₂²×D₄	—	9	1	no	—
923	C₂³×C₄	—	9	1	no	—
924	#127	—	9	1	no	—
925	#127	—	9	1	no	—
926	#126	—	9	1	no	—
927	#126	—	9	1	no	—
928	#126	—	9	1	no	—
929	#126	—	9	1	no	—
930	#126	—	9	1	no	—
931	#126	—	9	1	no	—
932	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
933	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
934	#125	—	9	1	no	—
935	#125	—	9	1	no	—
936	#125	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
937	#125	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
938	#124	—	9	1	no	—
939	#124	—	9	1	no	—
940	#124	—	9	1	no	—
941	#124	—	9	1	no	—
942	#124	—	9	1	no	—
943	#124	—	9	1	no	—
944	#123	—	9	1	no	—
945	#123	—	9	1	no	—
946	#123	—	9	1	no	—
947	#123	—	9	1	no	—
948	#123	—	9	1	no	—
949	#123	—	9	1	no	—
950	#123	—	9	1	no	—
951	#123	—	9	1	no	—
952	#123	—	9	1	no	—
953	#123	—	9	1	no	—
954	#123	—	9	1	no	—
955	#123	—	9	1	no	—
956	#123	—	9	1	no	—
957	#123	—	9	1	no	—
958	#123	—	9	1	no	—
959	#123	—	9	1	no	—
960	#123	—	9	1	no	—
961	#123	—	9	1	no	—
962	#123	—	9	1	no	—
963	#123	—	9	1	no	—
964	#123	—	9	1	no	—
965	#123	—	9	1	no	—
966	#123	—	9	1	no	—
967	#123	—	9	1	no	—
968	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
969	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
970	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
971	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
972	C₂²⋊Q₈	—	9	1	no	—
973	C₂²⋊Q₈	—	9	1	no	—
974	C₂²⋊Q₈	—	9	1	no	—
975	C₂²⋊Q₈	—	9	1	no	—
976	C₂²⋊Q₈	—	9	1	no	—
977	C₂²⋊Q₈	—	9	1	no	—
978	C₂²⋊Q₈	—	9	1	no	—
979	C₂²⋊Q₈	—	9	1	no	—
980	C₂²⋊Q₈	—	9	1	no	—
981	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
982	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
983	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
984	#121	—	9	1	no	—
985	#121	—	9	1	no	—
986	#121	—	9	1	no	—
987	#121	—	9	1	no	—
988	#121	—	9	1	no	—
989	#121	—	9	1	no	—
990	#121	—	9	1	no	—
991	#121	—	9	1	no	—
992	#121	—	9	1	no	—
993	#121	—	9	1	no	—
994	#121	—	9	1	no	—
995	#121	—	9	1	no	—
996	#121	—	9	1	no	—
997	#121	—	9	1	no	—
998	#121	—	9	1	no	—
999	#121	—	9	1	no	—
1000	#121	—	9	1	no	—
1001	#121	—	9	1	no	—
1002	#121	—	9	1	no	—
1003	#121	—	9	1	no	—
1004	#121	—	9	1	no	—
1005	#121	—	9	1	no	—
1006	#121	—	9	1	no	—
1007	#121	—	9	1	no	—
1008	#121	—	9	1	no	—
1009	#121	—	9	1	no	—
1010	#121	—	9	1	no	—
1011	#121	—	9	1	no	—
1012	#121	—	9	1	no	—
1013	#121	—	9	1	no	—
1014	#121	—	9	1	no	—
1015	#121	—	9	1	no	—
1016	#121	—	9	1	no	—
1017	#121	—	9	1	no	—
1018	#121	—	9	1	no	—
1019	#121	C₂×C₃⋊D₃	1	1	yes	characteristic
1020	#120	—	9	1	no	—
1021	#120	—	9	1	no	—
1022	#120	—	9	1	no	—
1023	#120	—	9	1	no	—
1024	#120	—	9	1	no	—
1025	#120	—	9	1	no	—
1026	#120	—	9	1	no	—
1027	#120	—	9	1	no	—
1028	#120	—	9	1	no	—
1029	#120	—	9	1	no	—
1030	#120	—	9	1	no	—
1031	#120	—	9	1	no	—
1032	#120	—	9	1	no	—
1033	#120	—	9	1	no	—
1034	#120	—	9	1	no	—
1035	#120	—	9	1	no	—
1036	C₄×D₄	—	9	1	no	—
1037	C₄×D₄	—	9	1	no	—
1038	C₄×D₄	—	9	1	no	—
1039	C₄×D₄	—	9	1	no	—
1040	C₄×D₄	—	9	1	no	—
1041	C₄×D₄	—	9	1	no	—
1042	C₄×D₄	—	9	1	no	—
1043	C₄×D₄	—	9	1	no	—
1044	C₄×D₄	—	9	1	no	—
1045	C₄×D₄	—	9	1	no	—
1046	C₄×D₄	—	9	1	no	—
1047	C₄×D₄	—	9	1	no	—
1048	C₄×D₄	—	9	1	no	—
1049	C₄×D₄	—	9	1	no	—
1050	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1051	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1052	#117	—	9	1	no	—
1053	#117	—	9	1	no	—
1054	#117	—	9	1	no	—
1055	C₂×C₄⋊C₄	—	9	1	no	—
1056	C₂×C₄⋊C₄	—	9	1	no	—
1057	C₂×C₄⋊C₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1058	C₂×C₂²⋊C₄	—	9	1	no	—
1059	C₂×C₂²⋊C₄	—	9	1	no	—
1060	C₂×C₂²⋊C₄	—	9	1	no	—
1061	C₂×C₂²⋊C₄	—	9	1	no	—
1062	C₂×C₂²⋊C₄	—	9	1	no	—
1063	C₂×C₂²⋊C₄	—	9	1	no	—
1064	C₂×C₂²⋊C₄	—	9	1	no	—
1065	C₂×C₂²⋊C₄	—	9	1	no	—
1066	C₂×C₂²⋊C₄	—	9	1	no	—
1067	C₂³×C₃	C₂³×D₃	1	4	yes	—
1068	C₂³×C₃	C₂³×D₃	1	4	yes	—
1069	C₂³×C₃	C₂³×D₃	1	4	yes	—
1070	C₂²×D₃	—	3	4	no	—
1071	C₂²×D₃	—	3	4	no	—
1072	C₂²×D₃	—	3	4	no	—
1073	C₂²×D₃	—	3	4	no	—
1074	C₂²×D₃	—	3	4	no	—
1075	C₂²×D₃	—	3	4	no	—
1076	C₂²×D₃	—	3	4	no	—
1077	C₂²×D₃	—	3	4	no	—
1078	C₂²×D₃	—	6	8	no	—
1079	C₂²×D₃	—	6	8	no	—
1080	C₂²×D₃	—	6	8	no	—
1081	C₂²×D₃	—	6	8	no	—
1082	C₂²×D₃	—	6	8	no	—
1083	C₂²×D₃	—	12	4	no	—
1084	C₂²×D₃	—	12	4	no	—
1085	C₂²×D₃	—	12	4	no	—
1086	C₂²×D₃	—	12	4	no	—
1087	C₂²×D₃	—	12	4	no	—
1088	C₂²×D₃	—	12	4	no	—
1089	C₂²×D₃	—	12	4	no	—
1090	C₂²×D₃	—	12	4	no	—
1091	C₂²×D₃	—	12	4	no	—
1092	C₂²×D₃	—	12	4	no	—
1093	C₂²×D₃	—	12	4	no	—
1094	C₂²×D₃	—	12	4	no	—
1095	C₂²×D₃	—	12	4	no	—
1096	C₃×Q₈	—	4	4	no	—
1097	C₃×D₄	—	2	8	no	—
1098	C₃×D₄	—	2	8	no	—
1099	C₃×D₄	—	4	4	no	—
1100	C₂×C₃×C₄	—	2	8	no	—
1101	C₂×C₃×C₄	—	4	4	no	—
1102	C₂×C₃×C₄	—	4	4	no	—
1103	C₂×C₃×C₄	—	4	4	no	—
1104	C₂×C₃×C₄	—	4	4	no	—
1105	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1106	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1107	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1108	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1109	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1110	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1111	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1112	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1113	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1114	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1115	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1116	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1117	#67	—	6	8	no	—
1118	#67	—	6	8	no	—
1119	#67	—	6	8	no	—
1120	#67	—	12	4	no	—
1121	#67	—	12	4	no	—
1122	#67	—	12	4	no	—
1123	#67	—	12	4	no	—
1124	#67	—	12	4	no	—
1125	#67	—	12	4	no	—
1126	#67	—	12	4	no	—
1127	#67	—	12	4	no	—
1128	#67	—	12	4	no	—
1129	C₂×Dic₃	—	3	4	no	—
1130	C₂×Dic₃	—	3	4	no	—
1131	C₂×Dic₃	—	3	4	no	—
1132	C₂×Dic₃	—	3	4	no	—
1133	C₂×Dic₃	—	3	4	no	—
1134	C₂×Dic₃	—	3	4	no	—
1135	C₂×Dic₃	—	3	4	no	—
1136	C₂×Dic₃	—	3	4	no	—
1137	C₂×Dic₃	—	6	8	no	—
1138	C₂×Dic₃	—	12	4	no	—
1139	D₁₂	—	6	8	no	—
1140	D₁₂	—	6	8	no	—
1141	D₁₂	—	6	8	no	—
1142	D₁₂	—	6	8	no	—
1143	D₁₂	—	6	8	no	—
1144	D₁₂	—	12	4	no	—
1145	D₁₂	—	12	4	no	—
1146	D₁₂	—	12	4	no	—
1147	D₁₂	—	12	4	no	—
1148	D₁₂	—	12	4	no	—
1149	D₁₂	—	12	4	no	—
1150	D₁₂	—	12	4	no	—
1151	D₁₂	—	12	4	no	—
1152	D₁₂	—	12	4	no	—
1153	D₁₂	—	12	4	no	—
1154	D₁₂	—	12	4	no	—
1155	D₁₂	—	12	4	no	—
1156	D₁₂	—	12	4	no	—
1157	D₁₂	—	12	4	no	—
1158	D₁₂	—	12	4	no	—
1159	D₁₂	—	12	4	no	—
1160	D₁₂	—	12	4	no	—
1161	C₄×D₃	—	6	8	no	—
1162	C₄×D₃	—	12	4	no	—
1163	C₄×D₃	—	12	4	no	—
1164	C₄×D₃	—	12	4	no	—
1165	C₄×D₃	—	12	4	no	—
1166	C₄×D₃	—	12	4	no	—
1167	C₄×D₃	—	12	4	no	—
1168	C₄×D₃	—	12	4	no	—
1169	C₄×D₃	—	12	4	no	—
1170	C₄×D₃	—	12	4	no	—
1171	C₄×D₃	—	12	4	no	—
1172	C₄×D₃	—	12	4	no	—
1173	C₄×D₃	—	12	4	no	—
1174	C₄×D₃	—	12	4	no	—
1175	C₄×D₃	—	12	4	no	—
1176	C₄×D₃	—	12	4	no	—
1177	Dic₆	—	12	4	no	—
1178	Dic₆	—	12	4	no	—
1179	C₂×C₃²	—	2	2	no	—
1180	C₂×C₃²	—	4	1	no	—
1181	C₂×C₃²	—	4	1	no	—
1182	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1183	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1184	C₂×C₃²	#585	1	1	yes	characteristic
1185	C₃⋊D₃	—	2	2	no	—
1186	C₃⋊D₃	—	4	1	no	—
1187	C₃⋊D₃	—	4	1	no	—
1188	C₃⋊D₃	—	4	1	no	—
1189	C₃⋊D₃	—	4	1	no	—
1190	C₃⋊D₃	—	4	1	no	—
1191	C₃⋊D₃	—	4	1	no	—
1192	C₃⋊D₃	—	4	1	no	—
1193	C₂⁴	—	9	1	no	—
1194	C₂⁴	—	9	1	no	—
1195	C₂⁴	—	9	1	no	—
1196	C₂⁴	—	9	1	no	—
1197	C₂⁴	—	9	1	no	—
1198	C₂⁴	—	9	1	no	—
1199	#41	—	36	2	no	—
1200	#41	—	36	2	no	—
1201	#41	—	36	2	no	—
1202	C₂×Q₈	—	9	1	no	—
1203	C₂×Q₈	—	9	1	no	—
1204	C₂×Q₈	C₂²×C₃⋊D₃	1	1	yes	characteristic
1205	C₂×D₄	—	9	1	no	—
1206	C₂×D₄	—	9	1	no	—
1207	C₂×D₄	—	9	1	no	—
1208	C₂×D₄	—	9	1	no	—
1209	C₂×D₄	—	9	1	no	—
1210	C₂×D₄	—	9	1	no	—
1211	C₂×D₄	—	9	1	no	—
1212	C₂×D₄	—	9	1	no	—
1213	C₂×D₄	—	9	1	no	—
1214	C₂×D₄	—	9	1	no	—
1215	C₂×D₄	—	9	1	no	—
1216	C₂×D₄	—	9	1	no	—
1217	C₂×D₄	—	9	1	no	—
1218	C₂×D₄	—	9	1	no	—
1219	C₂×D₄	—	9	1	no	—
1220	C₂×D₄	—	9	1	no	—
1221	C₂×D₄	—	9	1	no	—
1222	C₂×D₄	—	9	1	no	—
1223	C₂×D₄	—	9	1	no	—
1224	C₂×D₄	—	9	1	no	—
1225	C₂×D₄	—	9	1	no	—
1226	C₂×D₄	—	9	1	no	—
1227	C₂×D₄	—	9	1	no	—
1228	C₂×D₄	—	9	1	no	—
1229	C₂×D₄	—	9	1	no	—
1230	C₂×D₄	—	9	1	no	—
1231	C₂×D₄	—	9	1	no	—
1232	C₂×D₄	—	9	1	no	—
1233	C₂×D₄	—	9	1	no	—
1234	C₂×D₄	—	9	1	no	—
1235	C₂×D₄	—	9	1	no	—
1236	C₂×D₄	—	9	1	no	—
1237	C₂×D₄	—	9	1	no	—
1238	C₂×D₄	—	9	1	no	—
1239	C₂×D₄	—	36	2	no	—
1240	C₂×D₄	—	36	2	no	—
1241	C₂×D₄	—	36	2	no	—
1242	C₂×D₄	—	36	2	no	—
1243	C₂×D₄	—	36	2	no	—
1244	C₂×D₄	—	36	2	no	—
1245	C₂×D₄	—	36	2	no	—
1246	C₂×D₄	—	36	2	no	—
1247	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1248	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1249	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1250	C₂²×C₄	—	9	1	no	—
1251	C₂²×C₄	—	9	1	no	—
1252	C₂²×C₄	—	9	1	no	—
1253	C₂²×C₄	—	9	1	no	—
1254	C₂²×C₄	—	9	1	no	—
1255	C₂²×C₄	—	9	1	no	—
1256	C₂²×C₄	—	9	1	no	—
1257	C₂²×C₄	—	9	1	no	—
1258	C₂²×C₄	—	9	1	no	—
1259	C₂²×C₄	—	9	1	no	—
1260	C₂²×C₄	—	9	1	no	—
1261	C₂²×C₄	—	9	1	no	—
1262	C₂²×C₄	—	9	1	no	—
1263	C₂²×C₄	—	9	1	no	—
1264	C₂²×C₄	—	9	1	no	—
1265	C₂²×C₄	—	9	1	no	—
1266	C₂²×C₄	—	9	1	no	—
1267	C₂²×C₄	—	9	1	no	—
1268	C₂²×C₄	—	36	2	no	—
1269	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1270	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1271	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1272	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1273	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1274	C₄⋊C₄	—	9	1	no	—
1275	C₄⋊C₄	—	9	1	no	—
1276	C₄⋊C₄	—	9	1	no	—
1277	C₄⋊C₄	—	9	1	no	—
1278	C₄⋊C₄	—	9	1	no	—
1279	C₄⋊C₄	—	9	1	no	—
1280	C₄⋊C₄	—	9	1	no	—
1281	C₄⋊C₄	—	9	1	no	—
1282	C₄⋊C₄	—	9	1	no	—
1283	C₄⋊C₄	—	9	1	no	—
1284	C₄⋊C₄	—	9	1	no	—
1285	C₄⋊C₄	—	9	1	no	—
1286	C₄⋊C₄	—	9	1	no	—
1287	C₄⋊C₄	—	9	1	no	—
1288	C₄⋊C₄	—	9	1	no	—
1289	C₄⋊C₄	—	9	1	no	—
1290	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1291	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1292	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1293	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1294	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1295	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1296	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1297	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1298	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1299	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1300	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1301	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1302	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1303	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1304	C₂²⋊C₄	—	9	1	no	—
1305	C₂²⋊C₄	—	9	1	no	—
1306	C₂²⋊C₄	—	9	1	no	—
1307	C₂²⋊C₄	—	9	1	no	—
1308	C₂²⋊C₄	—	9	1	no	—
1309	C₂²⋊C₄	—	9	1	no	—
1310	C₂²⋊C₄	—	9	1	no	—
1311	C₂²⋊C₄	—	9	1	no	—
1312	C₂²⋊C₄	—	9	1	no	—
1313	C₂²⋊C₄	—	9	1	no	—
1314	C₂²⋊C₄	—	9	1	no	—
1315	C₂²⋊C₄	—	9	1	no	—
1316	C₂²⋊C₄	—	9	1	no	—
1317	C₂²⋊C₄	—	9	1	no	—
1318	C₂²⋊C₄	—	9	1	no	—
1319	C₂²⋊C₄	—	9	1	no	—
1320	C₂²⋊C₄	—	9	1	no	—
1321	C₂²⋊C₄	—	9	1	no	—
1322	C₂²⋊C₄	—	9	1	no	—
1323	C₂²⋊C₄	—	9	1	no	—
1324	C₂²⋊C₄	—	9	1	no	—
1325	C₂²⋊C₄	—	9	1	no	—
1326	C₂²⋊C₄	—	9	1	no	—
1327	C₂²⋊C₄	—	9	1	no	—
1328	C₂²⋊C₄	—	9	1	no	—
1329	C₂²⋊C₄	—	9	1	no	—
1330	C₂²⋊C₄	—	9	1	no	—
1331	C₂²⋊C₄	—	9	1	no	—
1332	C₂²⋊C₄	—	9	1	no	—
1333	C₂²⋊C₄	—	9	1	no	—
1334	C₂²⋊C₄	—	9	1	no	—
1335	C₂²⋊C₄	—	9	1	no	—
1336	C₂²⋊C₄	—	9	1	no	—
1337	C₂²⋊C₄	—	9	1	no	—
1338	C₂²⋊C₄	—	9	1	no	—
1339	C₂²⋊C₄	—	9	1	no	—
1340	C₂²⋊C₄	—	9	1	no	—
1341	C₂²⋊C₄	—	9	1	no	—
1342	C₂²⋊C₄	—	9	1	no	—
1343	C₂²⋊C₄	—	9	1	no	—
1344	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1345	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1346	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1347	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1348	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1349	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1350	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1351	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1352	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1353	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1354	C₄²	—	9	1	no	—
1355	C₄²	—	9	1	no	—
1356	C₄²	—	9	1	no	—
1357	C₄²	—	9	1	no	—
1358	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1359	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1360	C₂²×C₃	—	2	4	no	—
1361	C₂²×C₃	—	2	4	no	—
1362	C₂²×C₃	—	2	4	no	—
1363	C₂²×C₃	—	2	4	no	—
1364	C₂²×C₃	—	2	4	no	—
1365	C₂²×C₃	—	2	4	no	—
1366	C₂²×C₃	—	2	4	no	—
1367	C₂²×C₃	—	2	4	no	—
1368	C₂²×C₃	#1009	1	8	yes	—
1369	C₂²×C₃	C₂⁴×D₃	1	4	yes	—
1370	C₂×D₃	—	3	8	no	—
1371	C₂×D₃	—	6	4	no	—
1372	C₂×D₃	—	6	4	no	—
1373	C₂×D₃	—	6	4	no	—
1374	C₂×D₃	—	6	4	no	—
1375	C₂×D₃	—	6	4	no	—
1376	C₂×D₃	—	6	4	no	—
1377	C₂×D₃	—	6	4	no	—
1378	C₂×D₃	—	6	4	no	—
1379	C₂×D₃	—	6	4	no	—
1380	C₂×D₃	—	6	4	no	—
1381	C₂×D₃	—	6	4	no	—
1382	C₂×D₃	—	6	4	no	—
1383	C₂×D₃	—	6	4	no	—
1384	C₂×D₃	—	6	4	no	—
1385	C₂×D₃	—	6	4	no	—
1386	C₂×D₃	—	6	4	no	—
1387	C₂×D₃	—	6	4	no	—
1388	C₂×D₃	—	6	4	no	—
1389	C₂×D₃	—	6	4	no	—
1390	C₂×D₃	—	6	4	no	—
1391	C₂×D₃	—	6	4	no	—
1392	C₂×D₃	—	6	4	no	—
1393	C₂×D₃	—	6	4	no	—
1394	C₂×D₃	—	12	16	no	—
1395	C₂×D₃	—	24	8	no	—
1396	C₂×D₃	—	24	8	no	—
1397	C₂×D₃	—	24	8	no	—
1398	C₂×D₃	—	24	8	no	—
1399	C₂×D₃	—	24	8	no	—
1400	C₃×C₄	—	2	4	no	—
1401	C₃×C₄	—	2	4	no	—
1402	C₃×C₄	—	2	4	no	—
1403	C₃×C₄	—	2	4	no	—
1404	C₃×C₄	—	2	4	no	—
1405	C₃×C₄	—	2	4	no	—
1406	C₃×C₄	—	2	4	no	—
1407	C₃×C₄	—	2	4	no	—
1408	C₃×C₄	—	2	4	no	—
1409	C₃×C₄	—	2	4	no	—
1410	C₃×C₄	—	2	4	no	—
1411	C₃×C₄	—	2	4	no	—
1412	Dic₃	—	6	4	no	—
1413	Dic₃	—	6	4	no	—
1414	Dic₃	—	6	4	no	—
1415	Dic₃	—	6	4	no	—
1416	Dic₃	—	6	4	no	—
1417	Dic₃	—	6	4	no	—
1418	Dic₃	—	6	4	no	—
1419	Dic₃	—	6	4	no	—
1420	C₃²	#3534	1	1	yes	characteristic, complemented, Sylow
1421	C₂³	—	9	1	no	—
1422	C₂³	—	9	1	no	—
1423	C₂³	—	9	1	no	—
1424	C₂³	—	9	1	no	—
1425	C₂³	—	9	1	no	—
1426	C₂³	—	9	1	no	—
1427	C₂³	—	9	1	no	—
1428	C₂³	—	9	1	no	—
1429	C₂³	—	18	2	no	—
1430	C₂³	—	18	2	no	—
1431	C₂³	—	18	2	no	—
1432	C₂³	—	18	2	no	—
1433	C₂³	—	18	2	no	—
1434	C₂³	—	36	1	no	—
1435	C₂³	—	36	1	no	—
1436	C₂³	—	36	1	no	—
1437	C₂³	—	36	1	no	—
1438	C₂³	—	36	1	no	—
1439	C₂³	—	36	1	no	—
1440	C₂³	—	36	1	no	—
1441	C₂³	—	36	1	no	—
1442	C₂³	—	36	1	no	—
1443	C₂³	—	36	1	no	—
1444	C₂³	—	36	1	no	—
1445	C₂³	—	36	1	no	—
1446	C₂³	—	36	1	no	—
1447	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1448	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1449	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1450	Q₈	—	4	1	no	—
1451	Q₈	—	36	1	no	—
1452	Q₈	—	36	1	no	—
1453	D₄	—	2	2	no	—
1454	D₄	—	2	2	no	—
1455	D₄	—	4	1	no	—
1456	D₄	—	18	2	no	—
1457	D₄	—	18	2	no	—
1458	D₄	—	18	2	no	—
1459	D₄	—	18	2	no	—
1460	D₄	—	18	2	no	—
1461	D₄	—	18	2	no	—
1462	D₄	—	18	2	no	—
1463	D₄	—	18	2	no	—
1464	D₄	—	36	1	no	—
1465	D₄	—	36	1	no	—
1466	D₄	—	36	1	no	—
1467	D₄	—	36	1	no	—
1468	D₄	—	36	1	no	—
1469	D₄	—	36	1	no	—
1470	D₄	—	36	1	no	—
1471	D₄	—	36	1	no	—
1472	D₄	—	36	1	no	—
1473	D₄	—	36	1	no	—
1474	D₄	—	36	1	no	—
1475	D₄	—	36	1	no	—
1476	D₄	—	36	1	no	—
1477	D₄	—	36	1	no	—
1478	D₄	—	36	1	no	—
1479	D₄	—	36	1	no	—
1480	D₄	—	36	1	no	—
1481	D₄	—	36	1	no	—
1482	D₄	—	36	1	no	—
1483	D₄	—	36	1	no	—
1484	D₄	—	36	1	no	—
1485	D₄	—	36	1	no	—
1486	D₄	—	36	1	no	—
1487	D₄	—	36	1	no	—
1488	D₄	—	36	1	no	—
1489	D₄	—	36	1	no	—
1490	C₂×C₄	—	2	2	no	—
1491	C₂×C₄	—	4	1	no	—
1492	C₂×C₄	—	4	1	no	—
1493	C₂×C₄	—	4	1	no	—
1494	C₂×C₄	—	4	1	no	—
1495	C₂×C₄	—	9	1	no	—
1496	C₂×C₄	—	9	1	no	—
1497	C₂×C₄	—	9	1	no	—
1498	C₂×C₄	—	9	1	no	—
1499	C₂×C₄	—	9	1	no	—
1500	C₂×C₄	—	9	1	no	—
1501	C₂×C₄	—	9	1	no	—
1502	C₂×C₄	—	9	1	no	—
1503	C₂×C₄	—	18	2	no	—
1504	C₂×C₄	—	18	2	no	—
1505	C₂×C₄	—	36	1	no	—
1506	C₂×C₄	—	36	1	no	—
1507	C₂×C₄	—	36	1	no	—
1508	C₂×C₄	—	36	1	no	—
1509	C₂×C₄	—	36	1	no	—
1510	C₂×C₄	—	36	1	no	—
1511	C₂×C₄	—	36	1	no	—
1512	C₂×C₄	—	36	1	no	—
1513	C₂×C₄	—	36	1	no	—
1514	C₂×C₄	—	36	1	no	—
1515	C₂×C₄	—	36	1	no	—
1516	C₂×C₄	—	36	1	no	—
1517	C₂×C₄	—	36	1	no	—
1518	C₂×C₄	—	36	1	no	—
1519	C₂×C₄	—	36	1	no	—
1520	C₂×C₄	—	36	1	no	—
1521	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1522	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1523	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1524	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1525	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1526	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1527	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1528	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1529	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1530	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1531	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1532	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1533	C₂×C₃	—	2	8	no	—
1534	C₂×C₃	—	4	4	no	—
1535	C₂×C₃	—	4	4	no	—
1536	C₂×C₃	C₂×#1009	1	4	yes	—
1537	C₂×C₃	D₃×H(5,𝔽₂)	1	4	yes	—
1538	C₂×C₃	#5968	1	4	yes	—
1539	D₃	—	6	8	no	—
1540	D₃	—	12	4	no	—
1541	D₃	—	12	4	no	—
1542	D₃	—	12	4	no	—
1543	D₃	—	12	4	no	—
1544	D₃	—	12	4	no	—
1545	D₃	—	12	4	no	—
1546	D₃	—	12	4	no	—
1547	C₂²	—	2	1	no	—
1548	C₂²	—	2	1	no	—
1549	C₂²	—	2	1	no	—
1550	C₂²	—	2	1	no	—
1551	C₂²	—	2	1	no	—
1552	C₂²	—	2	1	no	—
1553	C₂²	—	2	1	no	—
1554	C₂²	—	2	1	no	—
1555	C₂²	—	9	2	no	—
1556	C₂²	—	18	1	no	—
1557	C₂²	—	18	1	no	—
1558	C₂²	—	18	1	no	—
1559	C₂²	—	18	1	no	—
1560	C₂²	—	18	1	no	—
1561	C₂²	—	18	1	no	—
1562	C₂²	—	18	1	no	—
1563	C₂²	—	18	1	no	—
1564	C₂²	—	18	1	no	—
1565	C₂²	—	18	1	no	—
1566	C₂²	—	18	1	no	—
1567	C₂²	—	18	1	no	—
1568	C₂²	—	18	1	no	—
1569	C₂²	—	18	1	no	—
1570	C₂²	—	18	1	no	—
1571	C₂²	—	18	1	no	—
1572	C₂²	—	18	1	no	—
1573	C₂²	—	18	1	no	—
1574	C₂²	—	18	1	no	—
1575	C₂²	—	18	1	no	—
1576	C₂²	—	18	1	no	—
1577	C₂²	—	18	1	no	—
1578	C₂²	—	18	1	no	—
1579	C₂²	—	36	4	no	—
1580	C₂²	—	72	2	no	—
1581	C₂²	—	72	2	no	—
1582	C₂²	—	72	2	no	—
1583	C₂²	—	72	2	no	—
1584	C₂²	—	72	2	no	—
1585	C₂²	#64366	1	2	yes	—
1586	C₂²	C₂⁴×C₃⋊D₃	1	1	yes	characteristic
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	2	1	no	—
1594	C₄	—	2	1	no	—
1595	C₄	—	2	1	no	—
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	18	1	no	—
1600	C₄	—	18	1	no	—
1601	C₄	—	18	1	no	—
1602	C₄	—	18	1	no	—
1603	C₄	—	18	1	no	—
1604	C₄	—	18	1	no	—
1605	C₄	—	18	1	no	—
1606	C₄	—	18	1	no	—
1607	C₃	#86458	1	4	yes	complemented
1608	C₂	—	2	2	no	—
1609	C₂	—	4	1	no	—
1610	C₂	—	4	1	no	—
1611	C₂	—	18	2	no	—
1612	C₂	—	36	1	no	—
1613	C₂	—	36	1	no	—
1614	C₂	—	36	1	no	—
1615	C₂	—	36	1	no	—
1616	C₂	—	36	1	no	—
1617	C₂	—	36	1	no	—
1618	C₂	—	36	1	no	—
1619	C₂	C₂×#64366	1	1	yes	characteristic
1620	C₂	C₃⋊D₃×H(5,𝔽₂)	1	1	yes	characteristic
1621	C₂	#10596760	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×C₃⋊D₃
commutator, socle, cosocle	C₂²×C₃²	C₂⁵
Fitting	C₃²×#539	C₂
hypercenter	#539	C₃⋊D₃
hypocenter	C₃²	#3534
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₂² ◁ #539

Complements

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

N	H ≅ G/N	type
1. C₃²×#539	C₂	semidirect
2. #10596182	C₂	semidirect
3. #10596180	C₂	semidirect
4. #10596175	C₂	semidirect
5. #10596175	C₂	semidirect
6. #10596171	C₂	semidirect
7. #10596168	C₂	semidirect
8. #10596166	C₂	semidirect
9. #10596163	C₂	semidirect
10. #10596137	C₂	semidirect
11. #10596134	C₂	semidirect
12. #10596127	C₂	semidirect
13. #10596125	C₂	semidirect
14. #10596124	C₂	semidirect
15. #10596124	C₂	semidirect
16. #10596124	C₂	semidirect
17. C₃⋊D₃×#123	C₂	semidirect
18. #10596118	C₂	semidirect
19. #10596115	C₂	semidirect
20. #10596108	C₂	semidirect
21. #10596101	C₂	semidirect
22. #10596101	C₂	semidirect
23. #10596100	C₂	semidirect
24. #10596081	C₂	semidirect
25. #10596080	C₂	semidirect
26. #10596027	C₂	semidirect
27. #10596025	C₂	semidirect
28. #10596021	C₂	semidirect
29. D₄×C₄⋊(C₃⋊D₃)	C₂	semidirect
30. #10595986	C₂	semidirect
31. C₂×#64104	C₂	semidirect
33. C₂×#3832	C₂²	semidirect
34. C₂×#3830	C₂²	semidirect
36. C₂×D₄×C₃⋊D₃	C₂²	semidirect
37. C₂×D₄×C₃⋊D₃	C₂²	semidirect
38. C₂×D₄×C₃⋊D₃	C₂²	semidirect
39. C₂×#3828	C₂²	semidirect
40. C₂²×C₄⋊(C₃⋊D₃)	C₂²	semidirect
41. C₂²×C₄⋊(C₃⋊D₃)	C₂²	semidirect
42. C₂²×C₄⋊(C₃⋊D₃)	C₂²	semidirect
43. C₂²×C₄⋊(C₃⋊D₃)	C₂²	semidirect
44. C₂²×C₄×C₃⋊D₃	C₂²	semidirect
45. C₃²×#126	C₂²	semidirect
46. C₃²×#126	C₂²	semidirect
47. C₃²×#125	C₂²	semidirect
48. C₃²×#125	C₂²	semidirect
49. C₃²×#123	C₂²	semidirect
50. C₃²×#123	C₂²	semidirect
51. C₃²×#123	C₂²	semidirect
52. C₃²×#123	C₂²	semidirect
53. C₃²×C₂²⋊Q₈	C₂²	semidirect
54. C₃²×C₂²⋊Q₈	C₂²	semidirect
55. C₃²×C₂²⋊Q₈	C₂²	semidirect
57. C₃²×C₄×D₄	C₂²	semidirect
58. C₃²×C₄×D₄	C₂²	semidirect
59. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
60. #64156	C₂²	semidirect
61. #64156	C₂²	semidirect
62. #64155	C₂²	semidirect
63. #64149	C₂²	semidirect
64. #64148	C₂²	semidirect
66. #64146	C₂²	semidirect
67. #64146	C₂²	semidirect
68. #64146	C₂²	semidirect
69. #64144	C₂²	semidirect
71. #64139	C₂²	semidirect
72. #64139	C₂²	semidirect
73. #64139	C₂²	semidirect
74. #64138	C₂²	semidirect
75. #64138	C₂²	semidirect
76. #64138	C₂²	semidirect
77. C₄×#638	C₂²	semidirect
78. C₄×#638	C₂²	semidirect
79. C₄×#638	C₂²	semidirect
80. C₂×#3752	C₂²	semidirect
81. C₂×#3752	C₂²	semidirect
82. C₂×#3752	C₂²	semidirect
83. #64133	C₂²	semidirect
84. #64107	C₂²	semidirect
85. #64107	C₂²	semidirect
86. #64107	C₂²	semidirect
87. #64107	C₂²	semidirect
88. #64107	C₂²	semidirect
89. #64106	C₂²	semidirect
90. #64105	C₂²	semidirect
91. #64105	C₂²	semidirect
92. #64105	C₂²	semidirect
93. #64105	C₂²	semidirect
94. #64105	C₂²	semidirect
95. #64105	C₂²	semidirect
97. #64104	C₂²	semidirect
98. #64104	C₂²	semidirect
99. #64104	C₂²	semidirect
100. #64104	C₂²	semidirect
101. #64104	C₂²	semidirect
102. #64104	C₂²	semidirect
103. #64104	C₂²	semidirect
104. #64104	C₂²	semidirect
105. #64104	C₂²	semidirect
106. #64104	C₂²	semidirect
107. #64104	C₂²	semidirect
108. #64104	C₂²	semidirect
109. #64104	C₂²	semidirect
110. #64104	C₂²	semidirect
111. #64104	C₂²	semidirect
112. #64104	C₂²	semidirect
113. #64104	C₂²	semidirect
114. #64104	C₂²	semidirect
115. #64103	C₂²	semidirect
116. #64103	C₂²	semidirect
117. #64103	C₂²	semidirect
118. #64103	C₂²	semidirect
119. #64103	C₂²	semidirect
120. #64103	C₂²	semidirect
121. #64103	C₂²	semidirect
122. #64103	C₂²	semidirect
123. #64103	C₂²	semidirect
124. #64103	C₂²	semidirect
125. #64103	C₂²	semidirect
126. #64103	C₂²	semidirect
127. #64103	C₂²	semidirect
128. #64103	C₂²	semidirect
129. #64103	C₂²	semidirect
130. #64102	C₂²	semidirect
131. #64102	C₂²	semidirect
132. #64102	C₂²	semidirect
133. #64102	C₂²	semidirect
134. #64102	C₂²	semidirect
135. #64101	C₂²	semidirect
136. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
137. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
138. #64098	C₂²	semidirect
139. #64098	C₂²	semidirect
140. #64095	C₂²	semidirect
141. #64095	C₂²	semidirect
142. #64094	C₂²	semidirect
143. #64094	C₂²	semidirect
144. #64093	C₂²	semidirect
145. #64093	C₂²	semidirect
146. #64093	C₂²	semidirect
147. #64093	C₂²	semidirect
148. #64093	C₂²	semidirect
149. #64093	C₂²	semidirect
150. #64093	C₂²	semidirect
151. #64093	C₂²	semidirect
152. #64093	C₂²	semidirect
153. #64093	C₂²	semidirect
154. #64093	C₂²	semidirect
155. #64092	C₂²	semidirect
156. #64092	C₂²	semidirect
157. #64092	C₂²	semidirect
159. #64091	C₂²	semidirect
160. #64091	C₂²	semidirect
161. #64091	C₂²	semidirect
162. #64091	C₂²	semidirect
163. #64091	C₂²	semidirect
164. #64091	C₂²	semidirect
165. #64091	C₂²	semidirect
166. #64091	C₂²	semidirect
167. #64091	C₂²	semidirect
168. #64091	C₂²	semidirect
169. #64091	C₂²	semidirect
170. #64090	C₂²	semidirect
171. #64090	C₂²	semidirect
172. #64090	C₂²	semidirect
173. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
174. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
175. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
176. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
177. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
178. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
179. #64086	C₂²	semidirect
180. #64085	C₂²	semidirect
181. #64084	C₂²	semidirect
182. #64084	C₂²	semidirect
183. #64083	C₂²	semidirect
184. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
185. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
186. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
187. #64081	C₂²	semidirect
188. C₃×#539	D₃	semidirect
399. C₃×#126	C₂×D₃	semidirect
400. C₃×#126	C₂×D₃	semidirect
401. C₃×#125	C₂×D₃	semidirect
402. C₃×#125	C₂×D₃	semidirect
403. C₃×#123	C₂×D₃	semidirect
404. C₃×#123	C₂×D₃	semidirect
405. C₃×#123	C₂×D₃	semidirect
406. C₃×#123	C₂×D₃	semidirect
407. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
408. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
409. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
411. C₃×C₄×D₄	C₂×D₃	semidirect
412. C₃×C₄×D₄	C₂×D₃	semidirect
413. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
674. #539	C₃⋊D₃	semidirect
932. #126	C₂×C₃⋊D₃	semidirect
933. #126	C₂×C₃⋊D₃	semidirect
936. #125	C₂×C₃⋊D₃	semidirect
937. #125	C₂×C₃⋊D₃	semidirect
968. #123	C₂×C₃⋊D₃	semidirect
969. #123	C₂×C₃⋊D₃	semidirect
970. #123	C₂×C₃⋊D₃	semidirect
971. #123	C₂×C₃⋊D₃	semidirect
981. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
982. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
983. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
1050. C₄×D₄	C₂×C₃⋊D₃	semidirect
1051. C₄×D₄	C₂×C₃⋊D₃	semidirect
1057. C₂×C₄⋊C₄	C₂×C₃⋊D₃	semidirect
1420. C₃²	#3534	semidirect
1607. C₃	#86458	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#539	2
#10596182	2
#10596180	2
#10596175	2
#10596171	2
#10596168	2
#10596166	2
#10596163	2
#10596137	2
#10596134	2
#10596127	2
#10596125	2
#10596124	2
C₃⋊D₃×#123	2
#10596118	2
#10596115	2
#10596108	2
#10596101	2
#10596100	2
#10596081	2
#10596080	2
#10596027	2
#10596025	2
#10596021	2
D₄×C₄⋊(C₃⋊D₃)	2
#10595986	2
C₂×#64104	2
#86458	3