Subgroups — #11904836

Order 1152.

3984 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#551	C₂	1	1	yes	maximal, characteristic, complemented
2	#10596176	C₂	1	1	yes	maximal, characteristic, complemented
3	#10596176	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	#10596149	C₂	1	1	yes	maximal, characteristic, complemented
7	#10596147	C₂	1	1	yes	maximal, characteristic, complemented
8	#10596129	C₂	1	1	yes	maximal, characteristic, complemented
9	#10596128	C₂	1	1	yes	maximal, characteristic, complemented
10	#10596127	C₂	1	1	yes	maximal, characteristic, complemented
11	#10596125	C₂	1	1	yes	maximal, characteristic, complemented
12	#10596125	C₂	1	1	yes	maximal, characteristic, complemented
13	#10596124	C₂	1	1	yes	maximal, characteristic, complemented
14	#10596108	C₂	1	1	yes	maximal, characteristic, complemented
15	#10596105	C₂	1	1	yes	maximal, characteristic, complemented
16	#10596101	C₂	1	1	yes	maximal, characteristic, complemented
17	#10596098	C₂	1	1	yes	maximal, characteristic, complemented
18	#10596062	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃⋊D₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
20	#10596025	C₂	1	1	yes	maximal, characteristic, complemented
21	#10596021	C₂	1	1	yes	maximal, characteristic, complemented
22	#10596018	C₂	1	1	yes	maximal, characteristic, complemented
23	#10596016	C₂	1	1	yes	maximal, characteristic, complemented
24	#10595998	C₂	1	1	yes	maximal, characteristic, complemented
25	#10595998	C₂	1	1	yes	maximal, characteristic, complemented
26	#10595995	C₂	1	1	yes	maximal, characteristic, complemented
27	#10595992	C₂	1	1	yes	maximal, characteristic, complemented
28	#10595966	C₂	1	1	yes	maximal, characteristic, complemented
29	#10595961	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#64091	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₂²⋊C₄×C₃⋊D₃	C₂	1	1	yes	maximal, characteristic, complemented
32	#86815	—	3	4	no	maximal
33	C₂⁴×C₃⋊D₃	C₂²	1	1	yes	characteristic
34	C₂²×#638	C₂²	1	1	yes	characteristic, complemented
35	C₂×#3832	C₂²	1	1	yes	characteristic, complemented
36	C₂×#3830	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
38	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#3828	C₂²	1	1	yes	characteristic, complemented
41	C₂×#3828	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic
43	C₂²×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
46	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
47	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
48	C₃²×#124	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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₃²×#120	C₂²	1	1	yes	characteristic
55	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
56	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
58	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
61	#64162	C₂²	1	1	yes	characteristic
62	C₂×#3757	C₂²	1	1	yes	characteristic, complemented
63	#64156	C₂²	1	1	yes	characteristic, complemented
64	#64155	C₂²	1	1	yes	characteristic, complemented
65	#64155	C₂²	1	1	yes	characteristic, complemented
66	#64148	C₂²	1	1	yes	characteristic, complemented
67	#64148	C₂²	1	1	yes	characteristic, complemented
68	#64147	C₂²	1	1	yes	characteristic, complemented
69	#64146	C₂²	1	1	yes	characteristic
70	#64146	C₂²	1	1	yes	characteristic, complemented
71	#64146	C₂²	1	1	yes	characteristic, complemented
72	#64146	C₂²	1	1	yes	characteristic, complemented
73	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
74	#64139	C₂²	1	1	yes	characteristic, complemented
75	#64139	C₂²	1	1	yes	characteristic, complemented
76	#64138	C₂²	1	1	yes	characteristic, complemented
77	#64138	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	C₄×#638	C₂²	1	1	yes	characteristic, complemented
81	C₂×#3752	C₂²	1	1	yes	characteristic
82	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
83	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
84	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
85	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
86	#64135	C₂²	1	1	yes	characteristic, complemented
87	#64133	C₂²	1	1	yes	characteristic, complemented
88	#64107	C₂²	1	1	yes	characteristic, complemented
89	#64107	C₂²	1	1	yes	characteristic, complemented
90	#64107	C₂²	1	1	yes	characteristic, complemented
91	#64106	C₂²	1	1	yes	characteristic, complemented
92	#64106	C₂²	1	1	yes	characteristic, complemented
93	#64106	C₂²	1	1	yes	characteristic, complemented
94	#64105	C₂²	1	1	yes	characteristic, complemented
95	#64105	C₂²	1	1	yes	characteristic, complemented
96	#64105	C₂²	1	1	yes	characteristic, complemented
97	#64105	C₂²	1	1	yes	characteristic, complemented
98	#64105	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	#64103	C₂²	1	1	yes	characteristic, complemented
105	#64103	C₂²	1	1	yes	characteristic, complemented
106	#64103	C₂²	1	1	yes	characteristic, complemented
107	#64103	C₂²	1	1	yes	characteristic, complemented
108	#64103	C₂²	1	1	yes	characteristic, complemented
109	#64103	C₂²	1	1	yes	characteristic, complemented
110	#64103	C₂²	1	1	yes	characteristic, complemented
111	#64103	C₂²	1	1	yes	characteristic, complemented
112	#64102	C₂²	1	1	yes	characteristic, complemented
113	#64102	C₂²	1	1	yes	characteristic, complemented
114	#64102	C₂²	1	1	yes	characteristic, complemented
115	#64102	C₂²	1	1	yes	characteristic, complemented
116	#64102	C₂²	1	1	yes	characteristic, complemented
117	#64102	C₂²	1	1	yes	characteristic, complemented
118	#64101	C₂²	1	1	yes	characteristic, complemented
119	#64101	C₂²	1	1	yes	characteristic, complemented
120	#64095	C₂²	1	1	yes	characteristic, complemented
121	#64095	C₂²	1	1	yes	characteristic, complemented
122	#64095	C₂²	1	1	yes	characteristic, complemented
123	#64094	C₂²	1	1	yes	characteristic, complemented
124	#64094	C₂²	1	1	yes	characteristic, complemented
125	#64094	C₂²	1	1	yes	characteristic, complemented
126	#64094	C₂²	1	1	yes	characteristic, complemented
127	#64093	C₂²	1	1	yes	characteristic, complemented
128	#64093	C₂²	1	1	yes	characteristic, complemented
129	#64093	C₂²	1	1	yes	characteristic, complemented
130	#64093	C₂²	1	1	yes	characteristic, complemented
131	#64093	C₂²	1	1	yes	characteristic, complemented
132	#64093	C₂²	1	1	yes	characteristic, complemented
133	#64092	C₂²	1	1	yes	characteristic, complemented
134	#64092	C₂²	1	1	yes	characteristic, complemented
135	#64092	C₂²	1	1	yes	characteristic, complemented
136	#64092	C₂²	1	1	yes	characteristic, complemented
137	#64091	C₂²	1	1	yes	characteristic
138	#64091	C₂²	1	1	yes	characteristic
139	#64091	C₂²	1	1	yes	characteristic
140	#64091	C₂²	1	1	yes	characteristic
141	#64091	C₂²	1	1	yes	characteristic
142	#64091	C₂²	1	1	yes	characteristic, complemented
143	#64091	C₂²	1	1	yes	characteristic, complemented
144	#64091	C₂²	1	1	yes	characteristic, complemented
145	#64091	C₂²	1	1	yes	characteristic, complemented
146	#64091	C₂²	1	1	yes	characteristic, complemented
147	#64091	C₂²	1	1	yes	characteristic, complemented
148	#64091	C₂²	1	1	yes	characteristic, complemented
149	#64091	C₂²	1	1	yes	characteristic, complemented
150	#64091	C₂²	1	1	yes	characteristic, complemented
151	#64090	C₂²	1	1	yes	characteristic, complemented
152	#64090	C₂²	1	1	yes	characteristic, complemented
153	#64090	C₂²	1	1	yes	characteristic, complemented
154	#64090	C₂²	1	1	yes	characteristic, complemented
155	#64090	C₂²	1	1	yes	characteristic, complemented
156	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
160	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
161	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
162	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
163	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
164	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
165	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
166	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
170	#64088	C₂²	1	1	yes	characteristic, complemented
171	#64088	C₂²	1	1	yes	characteristic, complemented
172	#64087	C₂²	1	1	yes	characteristic, complemented
173	#64087	C₂²	1	1	yes	characteristic, complemented
174	#64087	C₂²	1	1	yes	characteristic, complemented
175	#64086	C₂²	1	1	yes	characteristic, complemented
176	#64085	C₂²	1	1	yes	characteristic, complemented
177	#64084	C₂²	1	1	yes	characteristic, complemented
178	#64084	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₄⋊(C₃⋊D₃)	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	#64081	C₂²	1	1	yes	characteristic, complemented
187	#64081	C₂²	1	1	yes	characteristic, complemented
188	C₃×#551	D₃	1	4	yes	complemented
189	#5705	—	3	4	no	—
190	#5705	—	3	4	no	—
191	#5704	—	3	4	no	—
192	#5704	—	3	4	no	—
193	#5678	—	3	4	no	—
194	#5676	—	3	4	no	—
195	#5658	—	3	4	no	—
196	#5657	—	3	4	no	—
197	#5656	—	3	4	no	—
198	#5654	—	3	4	no	—
199	#5654	—	3	4	no	—
200	#5653	—	3	4	no	—
201	#5637	—	3	4	no	—
202	#5634	—	3	4	no	—
203	#5630	—	3	4	no	—
204	#5627	—	3	4	no	—
205	#5591	—	3	4	no	—
206	D₃×#120	—	3	4	no	—
207	#5554	—	3	4	no	—
208	#5550	—	3	4	no	—
209	#5547	—	3	4	no	—
210	#5545	—	3	4	no	—
211	#5527	—	3	4	no	—
212	#5527	—	3	4	no	—
213	#5524	—	3	4	no	—
214	#5521	—	3	4	no	—
215	#5495	—	3	4	no	—
216	#5490	—	3	4	no	—
217	C₂×#882	—	3	4	no	—
218	C₂×D₃×C₂²⋊C₄	—	3	4	no	—
219	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
220	C₂³×C₃⋊D₃	—	2	4	no	—
221	C₂³×C₃⋊D₃	—	4	2	no	—
222	C₂³×C₃⋊D₃	—	4	2	no	—
223	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
224	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
225	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
226	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
227	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
228	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
229	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
230	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
231	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic, complemented
232	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
233	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
234	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
235	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
236	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
237	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
238	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
239	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
240	C₂×#638	—	4	2	no	—
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	C₂×#638	C₂³	1	1	yes	characteristic
247	C₂×#638	C₂³	1	1	yes	characteristic
248	C₂×#638	C₂³	1	1	yes	characteristic
249	C₂×#638	C₂³	1	1	yes	characteristic
250	C₂×#638	C₂³	1	1	yes	characteristic
251	C₂×#638	C₂³	1	1	yes	characteristic, complemented
252	C₂×#638	C₂³	1	1	yes	characteristic, complemented
253	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
254	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
255	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
256	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
257	#3832	—	4	2	no	—
258	#3830	—	4	2	no	—
259	D₄×C₃⋊D₃	—	2	4	no	—
260	D₄×C₃⋊D₃	—	4	2	no	—
261	D₄×C₃⋊D₃	—	4	2	no	—
262	#3828	—	4	2	no	—
263	#3828	—	4	2	no	—
264	C₂×C₄⋊(C₃⋊D₃)	—	2	4	no	—
265	C₂×C₄⋊(C₃⋊D₃)	—	4	2	no	—
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, complemented
278	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic, complemented
279	C₂×C₄×C₃⋊D₃	—	4	2	no	—
280	C₂×C₄×C₃⋊D₃	—	4	2	no	—
281	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
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, complemented
293	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
294	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
295	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
296	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
297	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
298	C₂×#634	C₂³	1	1	yes	characteristic, complemented
299	C₂×#634	C₂³	1	1	yes	characteristic, complemented
300	C₂×#634	C₂³	1	1	yes	characteristic, complemented
301	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
302	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
303	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
304	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
305	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
306	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
307	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
308	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
309	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₃²×C₂²⋊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, complemented
321	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
322	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
323	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
324	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
325	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
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	#3757	C₂³	1	1	yes	characteristic
331	#3757	C₂³	1	1	yes	characteristic
332	#3757	C₂³	1	1	yes	characteristic
333	#3757	C₂³	1	1	yes	characteristic, complemented
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, complemented
357	#3752	C₂³	1	1	yes	characteristic, complemented
358	#3752	C₂³	1	1	yes	characteristic, complemented
359	#3752	C₂³	1	1	yes	characteristic, complemented
360	#3752	C₂³	1	1	yes	characteristic, complemented
361	#3752	C₂³	1	1	yes	characteristic, complemented
362	#3752	C₂³	1	1	yes	characteristic, complemented
363	#3752	C₂³	1	1	yes	characteristic, complemented
364	#3752	C₂³	1	1	yes	characteristic, complemented
365	#3752	C₂³	1	1	yes	characteristic, complemented
366	#3752	C₂³	1	1	yes	characteristic, complemented
367	#3752	C₂³	1	1	yes	characteristic, complemented
368	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
369	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
370	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
371	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
372	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
373	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
374	#3750	C₂³	1	1	yes	characteristic, complemented
375	#3750	C₂³	1	1	yes	characteristic, complemented
376	#3750	C₂³	1	1	yes	characteristic, complemented
377	#3750	C₂³	1	1	yes	characteristic, complemented
378	#3750	C₂³	1	1	yes	characteristic, complemented
379	#3750	C₂³	1	1	yes	characteristic, complemented
380	#3750	C₂³	1	1	yes	characteristic, complemented
381	#3750	C₂³	1	1	yes	characteristic, complemented
382	#3750	C₂³	1	1	yes	characteristic, complemented
383	#3750	C₂³	1	1	yes	characteristic, complemented
384	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
385	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
386	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
387	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
388	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
389	#3490	—	9	1	no	Sylow
390	C₂⁴×D₃	—	3	4	no	—
391	C₂²×#67	—	3	4	no	—
392	C₂×#239	—	3	4	no	—
393	C₂×#237	—	3	4	no	—
394	C₂×D₃×D₄	—	3	4	no	—
395	C₂×D₃×D₄	—	3	4	no	—
396	C₂×D₃×D₄	—	3	4	no	—
397	C₂×#235	—	3	4	no	—
398	C₂×#235	—	3	4	no	—
399	C₂²×D₁₂	—	3	4	no	—
400	C₂²×D₁₂	—	3	4	no	—
401	C₂²×C₄×D₃	—	3	4	no	—
402	C₂²×C₄×D₃	—	3	4	no	—
403	C₃×#126	C₂×D₃	1	4	yes	complemented
404	C₃×#126	C₂×D₃	1	4	yes	complemented
405	C₃×#124	C₂×D₃	1	4	yes	complemented
406	C₃×#123	C₂×D₃	1	4	yes	complemented
407	C₃×#123	C₂×D₃	1	4	yes	complemented
408	C₃×#123	C₂×D₃	1	4	yes	complemented
409	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
410	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
411	C₃×#120	C₂×D₃	1	4	yes	—
412	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
413	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
414	C₃×#117	C₂×D₃	1	4	yes	complemented
415	C₃×#117	C₂×D₃	1	4	yes	complemented
416	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	4	yes	complemented
417	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	4	yes	complemented
418	#953	—	3	4	no	—
419	C₂×#217	—	3	4	no	—
420	#947	—	3	4	no	—
421	#946	—	3	4	no	—
422	#946	—	3	4	no	—
423	#939	—	3	4	no	—
424	#939	—	3	4	no	—
425	#938	—	3	4	no	—
426	#937	—	3	4	no	—
427	#937	—	3	4	no	—
428	#937	—	3	4	no	—
429	#937	—	3	4	no	—
430	D₄×Dic₃	—	3	4	no	—
431	#930	—	3	4	no	—
432	#930	—	3	4	no	—
433	#929	—	3	4	no	—
434	#929	—	3	4	no	—
435	C₄×#67	—	3	4	no	—
436	C₄×#67	—	3	4	no	—
437	C₄×#67	—	3	4	no	—
438	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
439	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
440	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
441	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
442	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
443	#926	—	3	4	no	—
444	#924	—	3	4	no	—
445	#898	—	3	4	no	—
446	#898	—	3	4	no	—
447	#898	—	3	4	no	—
448	#897	—	3	4	no	—
449	#897	—	3	4	no	—
450	#897	—	3	4	no	—
451	#896	—	3	4	no	—
452	#896	—	3	4	no	—
453	#896	—	3	4	no	—
454	#896	—	3	4	no	—
455	#896	—	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	#894	—	3	4	no	—
462	#894	—	3	4	no	—
463	#894	—	3	4	no	—
464	#894	—	3	4	no	—
465	#894	—	3	4	no	—
466	#894	—	3	4	no	—
467	#894	—	3	4	no	—
468	#894	—	3	4	no	—
469	#893	—	3	4	no	—
470	#893	—	3	4	no	—
471	#893	—	3	4	no	—
472	#893	—	3	4	no	—
473	#893	—	3	4	no	—
474	#893	—	3	4	no	—
475	#892	—	3	4	no	—
476	#892	—	3	4	no	—
477	#886	—	3	4	no	—
478	#886	—	3	4	no	—
479	#886	—	3	4	no	—
480	#885	—	3	4	no	—
481	#885	—	3	4	no	—
482	#885	—	3	4	no	—
483	#885	—	3	4	no	—
484	#884	—	3	4	no	—
485	#884	—	3	4	no	—
486	#884	—	3	4	no	—
487	#884	—	3	4	no	—
488	#884	—	3	4	no	—
489	#884	—	3	4	no	—
490	#883	—	3	4	no	—
491	#883	—	3	4	no	—
492	#883	—	3	4	no	—
493	#883	—	3	4	no	—
494	#882	—	3	4	no	—
495	#882	—	3	4	no	—
496	#882	—	3	4	no	—
497	#882	—	3	4	no	—
498	#882	—	3	4	no	—
499	#882	—	3	4	no	—
500	#882	—	3	4	no	—
501	#882	—	3	4	no	—
502	#882	—	3	4	no	—
503	#882	—	3	4	no	—
504	#882	—	3	4	no	—
505	#882	—	3	4	no	—
506	#882	—	3	4	no	—
507	#882	—	3	4	no	—
508	#67⋊C₄	—	3	4	no	—
509	#67⋊C₄	—	3	4	no	—
510	#67⋊C₄	—	3	4	no	—
511	#67⋊C₄	—	3	4	no	—
512	#67⋊C₄	—	3	4	no	—
513	D₃×C₂²⋊C₄	—	3	4	no	—
514	D₃×C₂²⋊C₄	—	3	4	no	—
515	D₃×C₂²⋊C₄	—	3	4	no	—
516	D₃×C₂²⋊C₄	—	3	4	no	—
517	D₃×C₂²⋊C₄	—	3	4	no	—
518	D₃×C₂²⋊C₄	—	3	4	no	—
519	D₃×C₂²⋊C₄	—	3	4	no	—
520	D₃×C₂²⋊C₄	—	3	4	no	—
521	D₃×C₂²⋊C₄	—	3	4	no	—
522	D₃×C₂²⋊C₄	—	3	4	no	—
523	D₃×C₂²⋊C₄	—	3	4	no	—
524	D₃×C₂²⋊C₄	—	3	4	no	—
525	D₃×C₂²⋊C₄	—	3	4	no	—
526	D₃×C₂²⋊C₄	—	3	4	no	—
527	#879	—	3	4	no	—
528	#879	—	3	4	no	—
529	#878	—	3	4	no	—
530	#878	—	3	4	no	—
531	#878	—	3	4	no	—
532	#877	—	3	4	no	—
533	#876	—	3	4	no	—
534	#875	—	3	4	no	—
535	#875	—	3	4	no	—
536	C₄×D₁₂	—	3	4	no	—
537	C₄×D₁₂	—	3	4	no	—
538	C₄×D₁₂	—	3	4	no	—
539	C₄×D₁₂	—	3	4	no	—
540	C₄×D₁₂	—	3	4	no	—
541	C₄×D₁₂	—	3	4	no	—
542	C₄×D₁₂	—	3	4	no	—
543	#872	—	3	4	no	—
544	#872	—	3	4	no	—
545	C₂³×C₃²	—	2	2	no	—
546	C₂³×C₃²	—	2	2	no	—
547	C₂³×C₃²	—	4	1	no	—
548	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
549	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
550	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
551	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
552	C₂²×C₃⋊D₃	—	2	2	no	—
553	C₂²×C₃⋊D₃	—	2	2	no	—
554	C₂²×C₃⋊D₃	—	2	2	no	—
555	C₂²×C₃⋊D₃	—	2	2	no	—
556	C₂²×C₃⋊D₃	—	2	2	no	—
557	C₂²×C₃⋊D₃	—	2	2	no	—
558	C₂²×C₃⋊D₃	—	2	2	no	—
559	C₂²×C₃⋊D₃	—	2	2	no	—
560	C₂²×C₃⋊D₃	—	2	2	no	—
561	C₂²×C₃⋊D₃	—	2	2	no	—
562	C₂²×C₃⋊D₃	—	2	2	no	—
563	C₂²×C₃⋊D₃	—	2	2	no	—
564	C₂²×C₃⋊D₃	—	4	1	no	—
565	C₂²×C₃⋊D₃	—	4	1	no	—
566	C₂²×C₃⋊D₃	—	4	1	no	—
567	C₂²×C₃⋊D₃	—	4	1	no	—
568	C₂²×C₃⋊D₃	—	4	1	no	—
569	C₂²×C₃⋊D₃	—	4	1	no	—
570	C₂²×C₃⋊D₃	—	4	1	no	—
571	C₂²×C₃⋊D₃	—	4	1	no	—
572	C₂²×C₃⋊D₃	—	4	1	no	—
573	C₂²×C₃⋊D₃	—	4	1	no	—
574	C₂²×C₃⋊D₃	—	4	1	no	—
575	C₂²×C₃⋊D₃	—	4	16	no	—
576	C₂²×C₃⋊D₃	#41	1	4	yes	complemented
577	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
578	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
579	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
580	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
581	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
582	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
583	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
584	C₃²×Q₈	—	4	1	no	—
585	C₃²×D₄	—	2	2	no	—
586	C₃²×D₄	—	2	2	no	—
587	C₃²×D₄	—	4	1	no	—
588	C₂×C₃²×C₄	—	2	2	no	—
589	C₂×C₃²×C₄	—	2	2	no	—
590	C₂×C₃²×C₄	—	4	1	no	—
591	C₂×C₃²×C₄	—	4	1	no	—
592	C₂×C₃²×C₄	—	4	1	no	—
593	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
594	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
595	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
596	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
597	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
598	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
599	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
600	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
601	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
602	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
603	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
604	#638	—	2	2	no	—
605	#638	—	2	2	no	—
606	#638	—	2	2	no	—
607	#638	—	2	2	no	—
608	#638	—	2	2	no	—
609	#638	—	2	2	no	—
610	#638	—	4	1	no	—
611	#638	—	4	1	no	—
612	#638	—	4	1	no	—
613	#638	—	4	1	no	—
614	#638	—	4	1	no	—
615	#638	—	4	1	no	—
616	C₂×C₃⋊Dic₃	—	2	2	no	—
617	C₂×C₃⋊Dic₃	—	4	1	no	—
618	C₂×C₃⋊Dic₃	—	4	1	no	—
619	C₂×C₃⋊Dic₃	—	4	1	no	—
620	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
621	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
622	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
623	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
624	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
625	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
626	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
627	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
628	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
629	C₄⋊(C₃⋊D₃)	—	2	2	no	—
630	C₄⋊(C₃⋊D₃)	—	2	2	no	—
631	C₄⋊(C₃⋊D₃)	—	2	2	no	—
632	C₄⋊(C₃⋊D₃)	—	2	2	no	—
633	C₄⋊(C₃⋊D₃)	—	2	2	no	—
634	C₄⋊(C₃⋊D₃)	—	2	2	no	—
635	C₄⋊(C₃⋊D₃)	—	2	2	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	—	2	2	no	—
643	C₄×C₃⋊D₃	—	2	2	no	—
644	C₄×C₃⋊D₃	—	2	2	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	C₄×C₃⋊D₃	—	4	1	no	—
653	C₄×C₃⋊D₃	—	4	1	no	—
654	C₄×C₃⋊D₃	—	4	1	no	—
655	C₄×C₃⋊D₃	—	4	1	no	—
656	C₄×C₃⋊D₃	—	4	1	no	—
657	C₄×C₃⋊D₃	—	4	1	no	—
658	C₄×C₃⋊D₃	—	4	1	no	—
659	#634	—	4	1	no	—
660	#634	—	4	1	no	—
661	#634	—	4	1	no	—
662	#551	—	9	1	no	—
663	#551	—	9	1	no	—
664	#551	—	9	1	no	—
665	#551	—	9	1	no	—
666	#551	—	9	1	no	—
667	#551	—	9	1	no	—
668	#551	—	9	1	no	—
669	#551	C₃⋊D₃	1	1	yes	characteristic, complemented
670	#546	—	9	1	no	—
671	#546	—	9	1	no	—
672	#546	—	9	1	no	—
673	#546	—	9	1	no	—
674	#546	—	9	1	no	—
675	#546	—	9	1	no	—
676	#546	—	9	1	no	—
677	#546	—	9	1	no	—
678	#543	—	9	1	no	—
679	#538	—	9	1	no	—
680	#538	—	9	1	no	—
681	#538	—	9	1	no	—
682	#538	—	9	1	no	—
683	#534	—	9	1	no	—
684	#525	—	9	1	no	—
685	#525	—	9	1	no	—
686	#525	—	9	1	no	—
687	#525	—	9	1	no	—
688	C₂×#120	—	9	1	no	—
689	C₂×#120	—	9	1	no	—
690	#518	—	9	1	no	—
691	#518	—	9	1	no	—
692	C₂²×C₂²⋊C₄	—	9	1	no	—
693	C₂⁴×C₃	C₂²×D₃	1	4	yes	—
694	C₂³×D₃	—	3	4	no	—
695	C₂³×D₃	—	3	4	no	—
696	C₂³×D₃	—	3	4	no	—
697	C₂³×D₃	—	3	4	no	—
698	C₂³×D₃	—	3	4	no	—
699	C₂³×D₃	—	3	4	no	—
700	C₂³×D₃	—	3	4	no	—
701	C₂³×D₃	—	3	4	no	—
702	C₂³×D₃	—	6	16	no	—
703	C₂³×D₃	—	12	8	no	—
704	C₂³×D₃	—	12	8	no	—
705	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	complemented
706	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
707	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
708	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
709	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
710	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
711	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
712	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
713	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	complemented
714	C₂×#67	—	3	4	no	—
715	C₂×#67	—	3	4	no	—
716	C₂×#67	—	3	4	no	—
717	C₂×#67	—	3	4	no	—
718	C₂×#67	—	3	4	no	—
719	C₂×#67	—	3	4	no	—
720	C₂×#67	—	3	4	no	—
721	C₂×#67	—	3	4	no	—
722	C₂×#67	—	3	4	no	—
723	C₂×#67	—	3	4	no	—
724	C₂×#67	—	3	4	no	—
725	C₂×#67	—	3	4	no	—
726	C₂×#67	—	12	8	no	—
727	C₂²×Dic₃	—	3	4	no	—
728	C₂²×Dic₃	—	3	4	no	—
729	C₂²×Dic₃	—	3	4	no	—
730	C₂²×Dic₃	—	3	4	no	—
731	#239	—	12	8	no	—
732	#237	—	12	8	no	—
733	D₃×D₄	—	6	16	no	—
734	D₃×D₄	—	12	8	no	—
735	D₃×D₄	—	12	8	no	—
736	#235	—	12	8	no	—
737	#235	—	12	8	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	—	3	4	no	—
744	C₂×D₁₂	—	3	4	no	—
745	C₂×D₁₂	—	3	4	no	—
746	C₂×D₁₂	—	3	4	no	—
747	C₂×D₁₂	—	3	4	no	—
748	C₂×D₁₂	—	3	4	no	—
749	C₂×D₁₂	—	3	4	no	—
750	C₂×D₁₂	—	3	4	no	—
751	C₂×D₁₂	—	6	16	no	—
752	C₂×D₁₂	—	12	8	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	—	3	4	no	—
764	C₂×C₄×D₃	—	3	4	no	—
765	C₂×C₄×D₃	—	3	4	no	—
766	C₂×C₄×D₃	—	3	4	no	—
767	C₂×C₄×D₃	—	3	4	no	—
768	C₂×C₄×D₃	—	3	4	no	—
769	C₂×C₄×D₃	—	3	4	no	—
770	C₂×C₄×D₃	—	12	8	no	—
771	C₂×C₄×D₃	—	12	8	no	—
772	C₂×Dic₆	—	3	4	no	—
773	C₂×Dic₆	—	3	4	no	—
774	C₂×Dic₆	—	3	4	no	—
775	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
776	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
777	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
778	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
779	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
780	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
781	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
782	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
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×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
791	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
792	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
793	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
794	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
795	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
796	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
797	C₃×C₄²	C₂²×D₃	1	4	yes	complemented
798	C₃×C₄²	C₂²×D₃	1	4	yes	complemented
799	C₃×C₄²	C₂²×D₃	1	4	yes	complemented
800	#217	—	3	4	no	—
801	#217	—	3	4	no	—
802	#217	—	3	4	no	—
803	#217	—	3	4	no	—
804	#217	—	3	4	no	—
805	#217	—	3	4	no	—
806	#217	—	3	4	no	—
807	#217	—	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	(C₂×D₃)⋊C₄	—	3	4	no	—
833	(C₂×D₃)⋊C₄	—	3	4	no	—
834	(C₂×D₃)⋊C₄	—	3	4	no	—
835	(C₂×D₃)⋊C₄	—	3	4	no	—
836	(C₂×D₃)⋊C₄	—	3	4	no	—
837	(C₂×D₃)⋊C₄	—	3	4	no	—
838	(C₂×D₃)⋊C₄	—	3	4	no	—
839	(C₂×D₃)⋊C₄	—	3	4	no	—
840	(C₂×D₃)⋊C₄	—	3	4	no	—
841	(C₂×D₃)⋊C₄	—	3	4	no	—
842	C₄⋊Dic₃	—	3	4	no	—
843	C₄⋊Dic₃	—	3	4	no	—
844	C₄⋊Dic₃	—	3	4	no	—
845	C₄⋊Dic₃	—	3	4	no	—
846	C₄⋊Dic₃	—	3	4	no	—
847	C₄⋊Dic₃	—	3	4	no	—
848	Dic₃⋊C₄	—	3	4	no	—
849	Dic₃⋊C₄	—	3	4	no	—
850	Dic₃⋊C₄	—	3	4	no	—
851	Dic₃⋊C₄	—	3	4	no	—
852	Dic₃⋊C₄	—	3	4	no	—
853	Dic₃⋊C₄	—	3	4	no	—
854	Dic₃⋊C₄	—	3	4	no	—
855	Dic₃⋊C₄	—	3	4	no	—
856	Dic₃⋊C₄	—	3	4	no	—
857	Dic₃⋊C₄	—	3	4	no	—
858	C₄×Dic₃	—	3	4	no	—
859	C₄×Dic₃	—	3	4	no	—
860	C₄×Dic₃	—	3	4	no	—
861	C₄×Dic₃	—	3	4	no	—
862	C₄×Dic₃	—	3	4	no	—
863	C₂²×C₃²	—	2	1	no	—
864	C₂²×C₃²	—	2	1	no	—
865	C₂²×C₃²	—	2	1	no	—
866	C₂²×C₃²	—	2	1	no	—
867	C₂²×C₃²	—	2	1	no	—
868	C₂²×C₃²	—	2	1	no	—
869	C₂²×C₃²	—	2	1	no	—
870	C₂²×C₃²	—	2	1	no	—
871	C₂²×C₃²	—	2	1	no	—
872	C₂²×C₃²	—	2	1	no	—
873	C₂²×C₃²	—	4	4	no	—
874	C₂²×C₃²	C₂×#41	1	2	yes	—
875	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
876	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
877	C₂×C₃⋊D₃	—	2	8	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	—	2	1	no	—
886	C₂×C₃⋊D₃	—	2	1	no	—
887	C₂×C₃⋊D₃	—	2	1	no	—
888	C₂×C₃⋊D₃	—	2	1	no	—
889	C₂×C₃⋊D₃	—	2	1	no	—
890	C₂×C₃⋊D₃	—	2	1	no	—
891	C₂×C₃⋊D₃	—	2	1	no	—
892	C₂×C₃⋊D₃	—	2	1	no	—
893	C₂×C₃⋊D₃	—	2	1	no	—
894	C₂×C₃⋊D₃	—	2	1	no	—
895	C₂×C₃⋊D₃	—	2	1	no	—
896	C₂×C₃⋊D₃	—	4	4	no	—
897	C₂×C₃⋊D₃	—	4	4	no	—
898	C₂×C₃⋊D₃	—	4	4	no	—
899	C₂×C₃⋊D₃	—	4	4	no	—
900	C₂×C₃⋊D₃	—	4	4	no	—
901	C₂×C₃⋊D₃	—	8	2	no	—
902	C₂×C₃⋊D₃	—	8	2	no	—
903	C₂×C₃⋊D₃	C₂×#41	1	2	yes	—
904	C₂×C₃⋊D₃	C₂×#41	1	2	yes	—
905	C₂×C₃⋊D₃	H(5,𝔽₂)	1	2	yes	—
906	C₃²×C₄	—	2	1	no	—
907	C₃²×C₄	—	2	1	no	—
908	C₃²×C₄	—	2	1	no	—
909	C₃²×C₄	—	2	1	no	—
910	C₃²×C₄	—	2	1	no	—
911	C₃²×C₄	—	2	1	no	—
912	C₃²×C₄	—	2	1	no	—
913	C₃²×C₄	—	2	1	no	—
914	C₃²×C₄	—	2	1	no	—
915	C₃²×C₄	—	2	1	no	—
916	C₃²×C₄	—	2	1	no	—
917	C₃⋊Dic₃	—	2	1	no	—
918	C₃⋊Dic₃	—	2	1	no	—
919	C₃⋊Dic₃	—	2	1	no	—
920	C₃⋊Dic₃	—	2	1	no	—
921	C₃⋊Dic₃	—	2	1	no	—
922	C₃⋊Dic₃	—	2	1	no	—
923	C₃⋊Dic₃	—	2	1	no	—
924	C₃⋊Dic₃	—	2	1	no	—
925	C₃⋊Dic₃	—	2	1	no	—
926	C₂⁵	—	9	1	no	—
927	C₂×#41	—	9	1	no	—
928	C₂×#41	—	9	1	no	—
929	C₂×#41	—	9	1	no	—
930	C₂×#41	—	9	1	no	—
931	C₂²×D₄	—	9	1	no	—
932	C₂²×D₄	—	9	1	no	—
933	C₂²×D₄	—	9	1	no	—
934	C₂²×D₄	—	9	1	no	—
935	C₂²×D₄	—	9	1	no	—
936	C₂²×D₄	—	9	1	no	—
937	C₂³×C₄	—	9	1	no	—
938	C₂³×C₄	—	9	1	no	—
939	#126	—	9	1	no	—
940	#126	—	9	1	no	—
941	#126	—	9	1	no	—
942	#126	—	9	1	no	—
943	#126	—	9	1	no	—
944	#126	—	9	1	no	—
945	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
946	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
947	#124	—	9	1	no	—
948	#124	—	9	1	no	—
949	#124	—	9	1	no	—
950	#124	—	9	1	no	—
951	#124	—	9	1	no	—
952	#124	—	9	1	no	—
953	#124	—	9	1	no	—
954	#124	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
969	#123	—	9	1	no	—
970	#123	—	9	1	no	—
971	#123	—	9	1	no	—
972	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
973	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
974	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
982	C₂²⋊Q₈	—	9	1	no	—
983	C₂²⋊Q₈	—	9	1	no	—
984	C₂²⋊Q₈	—	9	1	no	—
985	C₂²⋊Q₈	—	9	1	no	—
986	C₂²⋊Q₈	—	9	1	no	—
987	C₂²⋊Q₈	—	9	1	no	—
988	C₂²⋊Q₈	—	9	1	no	—
989	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
990	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	#120	—	9	1	no	—
1008	#120	—	9	1	no	—
1009	#120	—	9	1	no	—
1010	#120	—	9	1	no	—
1011	#120	—	9	1	no	—
1012	#120	—	9	1	no	—
1013	#120	—	9	1	no	—
1014	#120	—	9	1	no	—
1015	#120	—	9	1	no	—
1016	#120	—	9	1	no	—
1017	#120	—	9	1	no	—
1018	#120	—	9	1	no	—
1019	#120	—	9	1	no	—
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	C₂×C₃⋊D₃	1	1	yes	characteristic
1027	C₄×D₄	—	9	1	no	—
1028	C₄×D₄	—	9	1	no	—
1029	C₄×D₄	—	9	1	no	—
1030	C₄×D₄	—	9	1	no	—
1031	C₄×D₄	—	9	1	no	—
1032	C₄×D₄	—	9	1	no	—
1033	C₄×D₄	—	9	1	no	—
1034	C₄×D₄	—	9	1	no	—
1035	C₄×D₄	—	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	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1050	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1051	#117	—	9	1	no	—
1052	#117	—	9	1	no	—
1053	#117	—	9	1	no	—
1054	#117	—	9	1	no	—
1055	#117	—	9	1	no	—
1056	#117	—	9	1	no	—
1057	#117	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1058	#117	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	C₂×C₂²⋊C₄	—	9	1	no	—
1068	C₂×C₂²⋊C₄	—	9	1	no	—
1069	C₂×C₂²⋊C₄	—	9	1	no	—
1070	C₂×C₂²⋊C₄	—	9	1	no	—
1071	C₂×C₂²⋊C₄	—	9	1	no	—
1072	C₂×C₂²⋊C₄	—	9	1	no	—
1073	C₂×C₂²⋊C₄	—	9	1	no	—
1074	C₂×C₂²⋊C₄	—	9	1	no	—
1075	C₂×C₂²⋊C₄	—	9	1	no	—
1076	C₂×C₂²⋊C₄	—	9	1	no	—
1077	C₂×C₂²⋊C₄	—	9	1	no	—
1078	C₂×C₂²⋊C₄	—	9	1	no	—
1079	C₂×C₂²⋊C₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1080	C₂×C₂²⋊C₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1081	C₂³×C₃	—	2	8	no	—
1082	C₂³×C₃	—	2	8	no	—
1083	C₂³×C₃	—	4	4	no	—
1084	C₂³×C₃	C₂³×D₃	1	4	yes	—
1085	C₂³×C₃	C₂³×D₃	1	4	yes	—
1086	C₂³×C₃	C₂³×D₃	1	4	yes	—
1087	C₂³×C₃	C₂³×D₃	1	4	yes	—
1088	C₂²×D₃	—	3	4	no	—
1089	C₂²×D₃	—	3	4	no	—
1090	C₂²×D₃	—	3	4	no	—
1091	C₂²×D₃	—	3	16	no	—
1092	C₂²×D₃	—	3	4	no	—
1093	C₂²×D₃	—	3	4	no	—
1094	C₂²×D₃	—	3	4	no	—
1095	C₂²×D₃	—	3	4	no	—
1096	C₂²×D₃	—	6	8	no	—
1097	C₂²×D₃	—	6	8	no	—
1098	C₂²×D₃	—	6	8	no	—
1099	C₂²×D₃	—	6	8	no	—
1100	C₂²×D₃	—	6	8	no	—
1101	C₂²×D₃	—	6	8	no	—
1102	C₂²×D₃	—	6	8	no	—
1103	C₂²×D₃	—	6	8	no	—
1104	C₂²×D₃	—	6	8	no	—
1105	C₂²×D₃	—	6	8	no	—
1106	C₂²×D₃	—	6	8	no	—
1107	C₂²×D₃	—	6	8	no	—
1108	C₂²×D₃	—	12	4	no	—
1109	C₂²×D₃	—	12	4	no	—
1110	C₂²×D₃	—	12	4	no	—
1111	C₂²×D₃	—	12	4	no	—
1112	C₂²×D₃	—	12	4	no	—
1113	C₂²×D₃	—	12	4	no	—
1114	C₂²×D₃	—	12	4	no	—
1115	C₂²×D₃	—	12	4	no	—
1116	C₂²×D₃	—	12	4	no	—
1117	C₂²×D₃	—	12	4	no	—
1118	C₂²×D₃	—	12	4	no	—
1119	C₂²×D₃	—	12	64	no	—
1120	C₃×Q₈	—	4	4	no	—
1121	C₃×D₄	—	2	8	no	—
1122	C₃×D₄	—	2	8	no	—
1123	C₃×D₄	—	4	4	no	—
1124	C₂×C₃×C₄	—	2	8	no	—
1125	C₂×C₃×C₄	—	2	8	no	—
1126	C₂×C₃×C₄	—	4	4	no	—
1127	C₂×C₃×C₄	—	4	4	no	—
1128	C₂×C₃×C₄	—	4	4	no	—
1129	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1130	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1131	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1132	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1133	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1134	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1135	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1136	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1137	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1138	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1139	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1140	#67	—	6	8	no	—
1141	#67	—	6	8	no	—
1142	#67	—	6	8	no	—
1143	#67	—	6	8	no	—
1144	#67	—	6	8	no	—
1145	#67	—	6	8	no	—
1146	#67	—	12	4	no	—
1147	#67	—	12	4	no	—
1148	#67	—	12	4	no	—
1149	#67	—	12	4	no	—
1150	#67	—	12	4	no	—
1151	#67	—	12	4	no	—
1152	C₂×Dic₃	—	3	4	no	—
1153	C₂×Dic₃	—	3	4	no	—
1154	C₂×Dic₃	—	3	4	no	—
1155	C₂×Dic₃	—	3	4	no	—
1156	C₂×Dic₃	—	3	4	no	—
1157	C₂×Dic₃	—	3	4	no	—
1158	C₂×Dic₃	—	3	4	no	—
1159	C₂×Dic₃	—	3	4	no	—
1160	C₂×Dic₃	—	3	4	no	—
1161	C₂×Dic₃	—	6	8	no	—
1162	C₂×Dic₃	—	12	4	no	—
1163	C₂×Dic₃	—	12	4	no	—
1164	C₂×Dic₃	—	12	4	no	—
1165	D₁₂	—	6	8	no	—
1166	D₁₂	—	6	8	no	—
1167	D₁₂	—	6	8	no	—
1168	D₁₂	—	6	8	no	—
1169	D₁₂	—	6	8	no	—
1170	D₁₂	—	6	8	no	—
1171	D₁₂	—	6	8	no	—
1172	D₁₂	—	6	8	no	—
1173	D₁₂	—	12	4	no	—
1174	D₁₂	—	12	4	no	—
1175	D₁₂	—	12	4	no	—
1176	D₁₂	—	12	4	no	—
1177	D₁₂	—	12	4	no	—
1178	C₄×D₃	—	6	8	no	—
1179	C₄×D₃	—	6	8	no	—
1180	C₄×D₃	—	6	8	no	—
1181	C₄×D₃	—	12	4	no	—
1182	C₄×D₃	—	12	4	no	—
1183	C₄×D₃	—	12	4	no	—
1184	C₄×D₃	—	12	4	no	—
1185	C₄×D₃	—	12	4	no	—
1186	C₄×D₃	—	12	4	no	—
1187	C₄×D₃	—	12	4	no	—
1188	C₄×D₃	—	12	4	no	—
1189	C₄×D₃	—	12	4	no	—
1190	C₄×D₃	—	12	4	no	—
1191	C₄×D₃	—	12	4	no	—
1192	C₄×D₃	—	12	4	no	—
1193	C₄×D₃	—	12	4	no	—
1194	C₄×D₃	—	12	4	no	—
1195	Dic₆	—	12	4	no	—
1196	Dic₆	—	12	4	no	—
1197	Dic₆	—	12	4	no	—
1198	C₂×C₃²	—	2	2	no	—
1199	C₂×C₃²	—	2	2	no	—
1200	C₂×C₃²	—	4	1	no	—
1201	C₂×C₃²	—	4	1	no	—
1202	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1203	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1204	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1205	C₃⋊D₃	—	2	2	no	—
1206	C₃⋊D₃	—	2	2	no	—
1207	C₃⋊D₃	—	2	2	no	—
1208	C₃⋊D₃	—	4	1	no	—
1209	C₃⋊D₃	—	4	1	no	—
1210	C₃⋊D₃	—	4	1	no	—
1211	C₃⋊D₃	—	4	1	no	—
1212	C₂⁴	—	9	1	no	—
1213	C₂⁴	—	9	1	no	—
1214	C₂⁴	—	9	1	no	—
1215	C₂⁴	—	9	1	no	—
1216	C₂⁴	—	9	1	no	—
1217	C₂⁴	—	9	1	no	—
1218	C₂⁴	—	9	1	no	—
1219	C₂⁴	—	9	1	no	—
1220	C₂⁴	—	18	4	no	—
1221	C₂⁴	—	36	2	no	—
1222	C₂⁴	—	36	2	no	—
1223	C₂⁴	C₂²×C₃⋊D₃	1	1	yes	characteristic
1224	#41	—	36	2	no	—
1225	#41	—	36	2	no	—
1226	#41	—	36	2	no	—
1227	#41	—	36	2	no	—
1228	C₂×Q₈	—	9	1	no	—
1229	C₂×Q₈	—	9	1	no	—
1230	C₂×Q₈	—	9	1	no	—
1231	C₂×Q₈	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
1240	C₂×D₄	—	9	1	no	—
1241	C₂×D₄	—	9	1	no	—
1242	C₂×D₄	—	9	1	no	—
1243	C₂×D₄	—	9	1	no	—
1244	C₂×D₄	—	9	1	no	—
1245	C₂×D₄	—	9	1	no	—
1246	C₂×D₄	—	9	1	no	—
1247	C₂×D₄	—	9	1	no	—
1248	C₂×D₄	—	9	1	no	—
1249	C₂×D₄	—	9	1	no	—
1250	C₂×D₄	—	9	1	no	—
1251	C₂×D₄	—	9	1	no	—
1252	C₂×D₄	—	9	1	no	—
1253	C₂×D₄	—	9	1	no	—
1254	C₂×D₄	—	9	1	no	—
1255	C₂×D₄	—	9	1	no	—
1256	C₂×D₄	—	9	1	no	—
1257	C₂×D₄	—	18	4	no	—
1258	C₂×D₄	—	18	4	no	—
1259	C₂×D₄	—	36	2	no	—
1260	C₂×D₄	—	36	2	no	—
1261	C₂×D₄	—	36	2	no	—
1262	C₂×D₄	—	36	2	no	—
1263	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1264	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1265	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1266	C₂²×C₄	—	9	1	no	—
1267	C₂²×C₄	—	9	1	no	—
1268	C₂²×C₄	—	9	1	no	—
1269	C₂²×C₄	—	9	1	no	—
1270	C₂²×C₄	—	9	1	no	—
1271	C₂²×C₄	—	9	1	no	—
1272	C₂²×C₄	—	9	1	no	—
1273	C₂²×C₄	—	9	1	no	—
1274	C₂²×C₄	—	9	1	no	—
1275	C₂²×C₄	—	9	1	no	—
1276	C₂²×C₄	—	9	1	no	—
1277	C₂²×C₄	—	9	1	no	—
1278	C₂²×C₄	—	9	1	no	—
1279	C₂²×C₄	—	9	1	no	—
1280	C₂²×C₄	—	9	1	no	—
1281	C₂²×C₄	—	9	1	no	—
1282	C₂²×C₄	—	9	1	no	—
1283	C₂²×C₄	—	9	1	no	—
1284	C₂²×C₄	—	9	1	no	—
1285	C₂²×C₄	—	9	1	no	—
1286	C₂²×C₄	—	9	1	no	—
1287	C₂²×C₄	—	36	2	no	—
1288	C₂²×C₄	—	36	2	no	—
1289	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1290	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1291	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1292	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1293	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1294	C₄⋊C₄	—	9	1	no	—
1295	C₄⋊C₄	—	9	1	no	—
1296	C₄⋊C₄	—	9	1	no	—
1297	C₄⋊C₄	—	9	1	no	—
1298	C₄⋊C₄	—	9	1	no	—
1299	C₄⋊C₄	—	9	1	no	—
1300	C₄⋊C₄	—	9	1	no	—
1301	C₄⋊C₄	—	9	1	no	—
1302	C₄⋊C₄	—	9	1	no	—
1303	C₄⋊C₄	—	9	1	no	—
1304	C₄⋊C₄	—	9	1	no	—
1305	C₄⋊C₄	—	9	1	no	—
1306	C₄⋊C₄	—	9	1	no	—
1307	C₄⋊C₄	—	9	1	no	—
1308	C₄⋊C₄	—	9	1	no	—
1309	C₄⋊C₄	—	9	1	no	—
1310	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1311	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1312	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1313	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1314	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1315	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1316	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1317	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
1345	C₂²⋊C₄	—	9	1	no	—
1346	C₂²⋊C₄	—	9	1	no	—
1347	C₂²⋊C₄	—	9	1	no	—
1348	C₂²⋊C₄	—	9	1	no	—
1349	C₂²⋊C₄	—	9	1	no	—
1350	C₂²⋊C₄	—	9	1	no	—
1351	C₂²⋊C₄	—	9	1	no	—
1352	C₂²⋊C₄	—	9	1	no	—
1353	C₂²⋊C₄	—	9	1	no	—
1354	C₂²⋊C₄	—	9	1	no	—
1355	C₂²⋊C₄	—	9	1	no	—
1356	C₂²⋊C₄	—	9	1	no	—
1357	C₂²⋊C₄	—	9	1	no	—
1358	C₂²⋊C₄	—	9	1	no	—
1359	C₂²⋊C₄	—	9	1	no	—
1360	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1361	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1362	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1363	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1364	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1365	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1366	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1367	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1368	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1369	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1370	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1371	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1372	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1373	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1374	C₄²	—	9	1	no	—
1375	C₄²	—	9	1	no	—
1376	C₄²	—	9	1	no	—
1377	C₄²	—	9	1	no	—
1378	C₄²	—	9	1	no	—
1379	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1380	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1381	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1382	C₂²×C₃	—	2	4	no	—
1383	C₂²×C₃	—	2	4	no	—
1384	C₂²×C₃	—	2	4	no	—
1385	C₂²×C₃	—	2	4	no	—
1386	C₂²×C₃	—	2	4	no	—
1387	C₂²×C₃	—	2	4	no	—
1388	C₂²×C₃	—	2	4	no	—
1389	C₂²×C₃	—	2	4	no	—
1390	C₂²×C₃	—	2	4	no	—
1391	C₂²×C₃	—	2	4	no	—
1392	C₂²×C₃	—	4	16	no	—
1393	C₂²×C₃	D₃×#41	1	8	yes	—
1394	C₂²×C₃	#1009	1	8	yes	—
1395	C₂²×C₃	C₂⁴×D₃	1	4	yes	—
1396	C₂×D₃	—	3	8	no	—
1397	C₂×D₃	—	3	8	no	—
1398	C₂×D₃	—	3	8	no	—
1399	C₂×D₃	—	6	32	no	—
1400	C₂×D₃	—	6	4	no	—
1401	C₂×D₃	—	6	4	no	—
1402	C₂×D₃	—	6	4	no	—
1403	C₂×D₃	—	6	4	no	—
1404	C₂×D₃	—	6	4	no	—
1405	C₂×D₃	—	6	4	no	—
1406	C₂×D₃	—	6	4	no	—
1407	C₂×D₃	—	6	4	no	—
1408	C₂×D₃	—	6	4	no	—
1409	C₂×D₃	—	6	4	no	—
1410	C₂×D₃	—	6	4	no	—
1411	C₂×D₃	—	6	4	no	—
1412	C₂×D₃	—	6	4	no	—
1413	C₂×D₃	—	6	4	no	—
1414	C₂×D₃	—	6	4	no	—
1415	C₂×D₃	—	6	4	no	—
1416	C₂×D₃	—	6	4	no	—
1417	C₂×D₃	—	6	4	no	—
1418	C₂×D₃	—	12	16	no	—
1419	C₂×D₃	—	12	16	no	—
1420	C₂×D₃	—	12	16	no	—
1421	C₂×D₃	—	12	16	no	—
1422	C₂×D₃	—	12	16	no	—
1423	C₂×D₃	—	24	8	no	—
1424	C₂×D₃	—	24	8	no	—
1425	C₃×C₄	—	2	4	no	—
1426	C₃×C₄	—	2	4	no	—
1427	C₃×C₄	—	2	4	no	—
1428	C₃×C₄	—	2	4	no	—
1429	C₃×C₄	—	2	4	no	—
1430	C₃×C₄	—	2	4	no	—
1431	C₃×C₄	—	2	4	no	—
1432	C₃×C₄	—	2	4	no	—
1433	C₃×C₄	—	2	4	no	—
1434	C₃×C₄	—	2	4	no	—
1435	C₃×C₄	—	2	4	no	—
1436	Dic₃	—	6	4	no	—
1437	Dic₃	—	6	4	no	—
1438	Dic₃	—	6	4	no	—
1439	Dic₃	—	6	4	no	—
1440	Dic₃	—	6	4	no	—
1441	Dic₃	—	6	4	no	—
1442	Dic₃	—	6	4	no	—
1443	Dic₃	—	6	4	no	—
1444	Dic₃	—	6	4	no	—
1445	C₃²	#3490	1	1	yes	characteristic, complemented, Sylow
1446	C₂³	—	2	2	no	—
1447	C₂³	—	2	2	no	—
1448	C₂³	—	4	1	no	—
1449	C₂³	—	9	1	no	—
1450	C₂³	—	9	1	no	—
1451	C₂³	—	9	1	no	—
1452	C₂³	—	9	4	no	—
1453	C₂³	—	9	1	no	—
1454	C₂³	—	9	1	no	—
1455	C₂³	—	9	1	no	—
1456	C₂³	—	9	1	no	—
1457	C₂³	—	18	2	no	—
1458	C₂³	—	18	2	no	—
1459	C₂³	—	18	2	no	—
1460	C₂³	—	18	2	no	—
1461	C₂³	—	18	2	no	—
1462	C₂³	—	18	2	no	—
1463	C₂³	—	18	2	no	—
1464	C₂³	—	18	2	no	—
1465	C₂³	—	18	2	no	—
1466	C₂³	—	18	2	no	—
1467	C₂³	—	18	2	no	—
1468	C₂³	—	18	2	no	—
1469	C₂³	—	36	1	no	—
1470	C₂³	—	36	1	no	—
1471	C₂³	—	36	1	no	—
1472	C₂³	—	36	1	no	—
1473	C₂³	—	36	1	no	—
1474	C₂³	—	36	1	no	—
1475	C₂³	—	36	1	no	—
1476	C₂³	—	36	1	no	—
1477	C₂³	—	36	1	no	—
1478	C₂³	—	36	1	no	—
1479	C₂³	—	36	1	no	—
1480	C₂³	—	36	16	no	—
1481	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1482	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1483	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1484	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1485	Q₈	—	4	1	no	—
1486	Q₈	—	36	1	no	—
1487	Q₈	—	36	1	no	—
1488	Q₈	—	36	1	no	—
1489	D₄	—	2	2	no	—
1490	D₄	—	2	2	no	—
1491	D₄	—	4	1	no	—
1492	D₄	—	18	2	no	—
1493	D₄	—	18	2	no	—
1494	D₄	—	18	2	no	—
1495	D₄	—	18	2	no	—
1496	D₄	—	18	2	no	—
1497	D₄	—	18	2	no	—
1498	D₄	—	18	2	no	—
1499	D₄	—	18	2	no	—
1500	D₄	—	18	2	no	—
1501	D₄	—	18	2	no	—
1502	D₄	—	18	2	no	—
1503	D₄	—	18	2	no	—
1504	D₄	—	18	2	no	—
1505	D₄	—	18	2	no	—
1506	D₄	—	36	1	no	—
1507	D₄	—	36	1	no	—
1508	D₄	—	36	1	no	—
1509	D₄	—	36	1	no	—
1510	D₄	—	36	1	no	—
1511	D₄	—	36	1	no	—
1512	D₄	—	36	1	no	—
1513	D₄	—	36	1	no	—
1514	D₄	—	36	1	no	—
1515	D₄	—	36	1	no	—
1516	D₄	—	36	1	no	—
1517	C₂×C₄	—	2	2	no	—
1518	C₂×C₄	—	2	2	no	—
1519	C₂×C₄	—	4	1	no	—
1520	C₂×C₄	—	4	1	no	—
1521	C₂×C₄	—	4	1	no	—
1522	C₂×C₄	—	9	1	no	—
1523	C₂×C₄	—	9	1	no	—
1524	C₂×C₄	—	9	1	no	—
1525	C₂×C₄	—	9	1	no	—
1526	C₂×C₄	—	9	1	no	—
1527	C₂×C₄	—	9	1	no	—
1528	C₂×C₄	—	9	1	no	—
1529	C₂×C₄	—	9	1	no	—
1530	C₂×C₄	—	9	1	no	—
1531	C₂×C₄	—	18	2	no	—
1532	C₂×C₄	—	18	2	no	—
1533	C₂×C₄	—	18	2	no	—
1534	C₂×C₄	—	18	2	no	—
1535	C₂×C₄	—	36	1	no	—
1536	C₂×C₄	—	36	1	no	—
1537	C₂×C₄	—	36	1	no	—
1538	C₂×C₄	—	36	1	no	—
1539	C₂×C₄	—	36	1	no	—
1540	C₂×C₄	—	36	1	no	—
1541	C₂×C₄	—	36	1	no	—
1542	C₂×C₄	—	36	1	no	—
1543	C₂×C₄	—	36	1	no	—
1544	C₂×C₄	—	36	1	no	—
1545	C₂×C₄	—	36	1	no	—
1546	C₂×C₄	—	36	1	no	—
1547	C₂×C₄	—	36	1	no	—
1548	C₂×C₄	—	36	1	no	—
1549	C₂×C₄	—	36	1	no	—
1550	C₂×C₄	—	36	1	no	—
1551	C₂×C₄	—	36	1	no	—
1552	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1553	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1554	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1555	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1556	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1557	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1558	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1559	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1560	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1561	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1562	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1563	C₂×C₃	—	2	8	no	—
1564	C₂×C₃	—	2	8	no	—
1565	C₂×C₃	—	4	4	no	—
1566	C₂×C₃	—	4	4	no	—
1567	C₂×C₃	C₂×D₃×#41	1	4	yes	—
1568	C₂×C₃	C₂×#1009	1	4	yes	—
1569	C₂×C₃	D₃×H(5,𝔽₂)	1	4	yes	—
1570	D₃	—	6	8	no	—
1571	D₃	—	6	8	no	—
1572	D₃	—	6	8	no	—
1573	D₃	—	12	4	no	—
1574	D₃	—	12	4	no	—
1575	D₃	—	12	4	no	—
1576	D₃	—	12	4	no	—
1577	C₂²	—	2	1	no	—
1578	C₂²	—	2	1	no	—
1579	C₂²	—	2	1	no	—
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	1	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	2	1	no	—
1585	C₂²	—	2	1	no	—
1586	C₂²	—	2	1	no	—
1587	C₂²	—	4	4	no	—
1588	C₂²	—	9	2	no	—
1589	C₂²	—	9	2	no	—
1590	C₂²	—	9	2	no	—
1591	C₂²	—	18	8	no	—
1592	C₂²	—	18	1	no	—
1593	C₂²	—	18	1	no	—
1594	C₂²	—	18	1	no	—
1595	C₂²	—	18	1	no	—
1596	C₂²	—	18	1	no	—
1597	C₂²	—	18	1	no	—
1598	C₂²	—	18	1	no	—
1599	C₂²	—	18	1	no	—
1600	C₂²	—	18	1	no	—
1601	C₂²	—	18	1	no	—
1602	C₂²	—	18	1	no	—
1603	C₂²	—	18	1	no	—
1604	C₂²	—	18	1	no	—
1605	C₂²	—	18	1	no	—
1606	C₂²	—	18	1	no	—
1607	C₂²	—	18	1	no	—
1608	C₂²	—	18	1	no	—
1609	C₂²	—	18	1	no	—
1610	C₂²	—	36	4	no	—
1611	C₂²	—	36	4	no	—
1612	C₂²	—	36	4	no	—
1613	C₂²	—	36	4	no	—
1614	C₂²	—	36	4	no	—
1615	C₂²	—	72	2	no	—
1616	C₂²	—	72	2	no	—
1617	C₂²	#41×C₃⋊D₃	1	2	yes	—
1618	C₂²	#64366	1	2	yes	—
1619	C₂²	C₂⁴×C₃⋊D₃	1	1	yes	characteristic
1620	C₄	—	2	1	no	—
1621	C₄	—	2	1	no	—
1622	C₄	—	2	1	no	—
1623	C₄	—	2	1	no	—
1624	C₄	—	2	1	no	—
1625	C₄	—	2	1	no	—
1626	C₄	—	2	1	no	—
1627	C₄	—	2	1	no	—
1628	C₄	—	2	1	no	—
1629	C₄	—	2	1	no	—
1630	C₄	—	2	1	no	—
1631	C₄	—	18	1	no	—
1632	C₄	—	18	1	no	—
1633	C₄	—	18	1	no	—
1634	C₄	—	18	1	no	—
1635	C₄	—	18	1	no	—
1636	C₄	—	18	1	no	—
1637	C₄	—	18	1	no	—
1638	C₄	—	18	1	no	—
1639	C₄	—	18	1	no	—
1640	C₃	#86815	1	4	yes	complemented
1641	C₂	—	2	2	no	—
1642	C₂	—	2	2	no	—
1643	C₂	—	4	1	no	—
1644	C₂	—	4	1	no	—
1645	C₂	—	18	2	no	—
1646	C₂	—	18	2	no	—
1647	C₂	—	18	2	no	—
1648	C₂	—	36	1	no	—
1649	C₂	—	36	1	no	—
1650	C₂	—	36	1	no	—
1651	C₂	—	36	1	no	—
1652	C₂	C₂×#41×C₃⋊D₃	1	1	yes	characteristic
1653	C₂	C₂×#64366	1	1	yes	characteristic
1654	C₂	C₃⋊D₃×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×C₃⋊D₃
commutator, socle, cosocle	C₂²×C₃²	C₂⁵
Fitting	C₃²×#551	C₂
hypercenter	#551	C₃⋊D₃
hypocenter	C₃²	#3490
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₂² ◁ #551

Complements

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

N	H ≅ G/N	type
1. C₃²×#551	C₂	semidirect
2. #10596176	C₂	semidirect
3. #10596176	C₂	semidirect
4. #10596175	C₂	semidirect
5. #10596175	C₂	semidirect
6. #10596149	C₂	semidirect
7. #10596147	C₂	semidirect
8. #10596129	C₂	semidirect
9. #10596128	C₂	semidirect
10. #10596127	C₂	semidirect
11. #10596125	C₂	semidirect
12. #10596125	C₂	semidirect
13. #10596124	C₂	semidirect
14. #10596108	C₂	semidirect
15. #10596105	C₂	semidirect
16. #10596101	C₂	semidirect
17. #10596098	C₂	semidirect
18. #10596062	C₂	semidirect
19. C₃⋊D₃×#120	C₂	semidirect
20. #10596025	C₂	semidirect
21. #10596021	C₂	semidirect
22. #10596018	C₂	semidirect
23. #10596016	C₂	semidirect
24. #10595998	C₂	semidirect
25. #10595998	C₂	semidirect
26. #10595995	C₂	semidirect
27. #10595992	C₂	semidirect
28. #10595966	C₂	semidirect
29. #10595961	C₂	semidirect
30. C₂×#64091	C₂	semidirect
31. C₂×C₂²⋊C₄×C₃⋊D₃	C₂	semidirect
34. C₂²×#638	C₂²	semidirect
35. C₂×#3832	C₂²	semidirect
36. C₂×#3830	C₂²	semidirect
38. C₂×D₄×C₃⋊D₃	C₂²	semidirect
39. C₂×D₄×C₃⋊D₃	C₂²	semidirect
40. C₂×#3828	C₂²	semidirect
41. C₂×#3828	C₂²	semidirect
43. C₂²×C₄⋊(C₃⋊D₃)	C₂²	semidirect
44. C₂²×C₄×C₃⋊D₃	C₂²	semidirect
45. C₂²×C₄×C₃⋊D₃	C₂²	semidirect
46. C₃²×#126	C₂²	semidirect
47. C₃²×#126	C₂²	semidirect
48. C₃²×#124	C₂²	semidirect
49. C₃²×#123	C₂²	semidirect
50. C₃²×#123	C₂²	semidirect
51. C₃²×#123	C₂²	semidirect
52. C₃²×C₂²⋊Q₈	C₂²	semidirect
53. C₃²×C₂²⋊Q₈	C₂²	semidirect
55. C₃²×C₄×D₄	C₂²	semidirect
56. C₃²×C₄×D₄	C₂²	semidirect
57. C₃²×#117	C₂²	semidirect
58. C₃²×#117	C₂²	semidirect
59. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
60. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
62. C₂×#3757	C₂²	semidirect
63. #64156	C₂²	semidirect
64. #64155	C₂²	semidirect
65. #64155	C₂²	semidirect
66. #64148	C₂²	semidirect
67. #64148	C₂²	semidirect
68. #64147	C₂²	semidirect
70. #64146	C₂²	semidirect
71. #64146	C₂²	semidirect
72. #64146	C₂²	semidirect
73. D₄×C₃⋊Dic₃	C₂²	semidirect
74. #64139	C₂²	semidirect
75. #64139	C₂²	semidirect
76. #64138	C₂²	semidirect
77. #64138	C₂²	semidirect
78. C₄×#638	C₂²	semidirect
79. C₄×#638	C₂²	semidirect
80. C₄×#638	C₂²	semidirect
82. C₂×#3752	C₂²	semidirect
83. C₂×#3752	C₂²	semidirect
84. C₂×#3752	C₂²	semidirect
85. C₂×#3752	C₂²	semidirect
86. #64135	C₂²	semidirect
87. #64133	C₂²	semidirect
88. #64107	C₂²	semidirect
89. #64107	C₂²	semidirect
90. #64107	C₂²	semidirect
91. #64106	C₂²	semidirect
92. #64106	C₂²	semidirect
93. #64106	C₂²	semidirect
94. #64105	C₂²	semidirect
95. #64105	C₂²	semidirect
96. #64105	C₂²	semidirect
97. #64105	C₂²	semidirect
98. #64105	C₂²	semidirect
99. #64104	C₂²	semidirect
100. #64104	C₂²	semidirect
101. #64104	C₂²	semidirect
102. #64104	C₂²	semidirect
103. #64104	C₂²	semidirect
104. #64103	C₂²	semidirect
105. #64103	C₂²	semidirect
106. #64103	C₂²	semidirect
107. #64103	C₂²	semidirect
108. #64103	C₂²	semidirect
109. #64103	C₂²	semidirect
110. #64103	C₂²	semidirect
111. #64103	C₂²	semidirect
112. #64102	C₂²	semidirect
113. #64102	C₂²	semidirect
114. #64102	C₂²	semidirect
115. #64102	C₂²	semidirect
116. #64102	C₂²	semidirect
117. #64102	C₂²	semidirect
118. #64101	C₂²	semidirect
119. #64101	C₂²	semidirect
120. #64095	C₂²	semidirect
121. #64095	C₂²	semidirect
122. #64095	C₂²	semidirect
123. #64094	C₂²	semidirect
124. #64094	C₂²	semidirect
125. #64094	C₂²	semidirect
126. #64094	C₂²	semidirect
127. #64093	C₂²	semidirect
128. #64093	C₂²	semidirect
129. #64093	C₂²	semidirect
130. #64093	C₂²	semidirect
131. #64093	C₂²	semidirect
132. #64093	C₂²	semidirect
133. #64092	C₂²	semidirect
134. #64092	C₂²	semidirect
135. #64092	C₂²	semidirect
136. #64092	C₂²	semidirect
142. #64091	C₂²	semidirect
143. #64091	C₂²	semidirect
144. #64091	C₂²	semidirect
145. #64091	C₂²	semidirect
146. #64091	C₂²	semidirect
147. #64091	C₂²	semidirect
148. #64091	C₂²	semidirect
149. #64091	C₂²	semidirect
150. #64091	C₂²	semidirect
151. #64090	C₂²	semidirect
152. #64090	C₂²	semidirect
153. #64090	C₂²	semidirect
154. #64090	C₂²	semidirect
155. #64090	C₂²	semidirect
159. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
160. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
161. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
162. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
163. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
164. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
165. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
166. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
167. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
168. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
169. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
170. #64088	C₂²	semidirect
171. #64088	C₂²	semidirect
172. #64087	C₂²	semidirect
173. #64087	C₂²	semidirect
174. #64087	C₂²	semidirect
175. #64086	C₂²	semidirect
176. #64085	C₂²	semidirect
177. #64084	C₂²	semidirect
178. #64084	C₂²	semidirect
179. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
180. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
181. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
182. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
183. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
184. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
185. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
186. #64081	C₂²	semidirect
187. #64081	C₂²	semidirect
188. C₃×#551	D₃	semidirect
231. C₂×C₃²×Q₈	C₂³	semidirect
239. C₂²×C₃²×C₄	C₂³	semidirect
251. C₂×#638	C₂³	semidirect
252. C₂×#638	C₂³	semidirect
256. C₂²×C₃⋊Dic₃	C₂³	semidirect
277. C₂×C₄⋊(C₃⋊D₃)	C₂³	semidirect
278. C₂×C₄⋊(C₃⋊D₃)	C₂³	semidirect
292. C₂×C₄×C₃⋊D₃	C₂³	semidirect
293. C₂×C₄×C₃⋊D₃	C₂³	semidirect
294. C₂×C₄×C₃⋊D₃	C₂³	semidirect
295. C₂×C₄×C₃⋊D₃	C₂³	semidirect
296. C₂×C₄×C₃⋊D₃	C₂³	semidirect
297. C₂×C₄×C₃⋊D₃	C₂³	semidirect
298. C₂×#634	C₂³	semidirect
299. C₂×#634	C₂³	semidirect
300. C₂×#634	C₂³	semidirect
301. C₃²×C₄⋊C₄	C₂³	semidirect
302. C₃²×C₄⋊C₄	C₂³	semidirect
303. C₃²×C₄⋊C₄	C₂³	semidirect
304. C₃²×C₄⋊C₄	C₂³	semidirect
305. C₃²×C₄⋊C₄	C₂³	semidirect
306. C₃²×C₄⋊C₄	C₂³	semidirect
307. C₃²×C₄⋊C₄	C₂³	semidirect
308. C₃²×C₄⋊C₄	C₂³	semidirect
320. C₃²×C₂²⋊C₄	C₂³	semidirect
321. C₃²×C₂²⋊C₄	C₂³	semidirect
322. C₃²×C₂²⋊C₄	C₂³	semidirect
323. C₃²×C₄²	C₂³	semidirect
324. C₃²×C₄²	C₂³	semidirect
325. C₃²×C₄²	C₂³	semidirect
333. #3757	C₂³	semidirect
356. #3752	C₂³	semidirect
357. #3752	C₂³	semidirect
358. #3752	C₂³	semidirect
359. #3752	C₂³	semidirect
360. #3752	C₂³	semidirect
361. #3752	C₂³	semidirect
362. #3752	C₂³	semidirect
363. #3752	C₂³	semidirect
364. #3752	C₂³	semidirect
365. #3752	C₂³	semidirect
366. #3752	C₂³	semidirect
367. #3752	C₂³	semidirect
368. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
369. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
370. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
371. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
372. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
373. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
374. #3750	C₂³	semidirect
375. #3750	C₂³	semidirect
376. #3750	C₂³	semidirect
377. #3750	C₂³	semidirect
378. #3750	C₂³	semidirect
379. #3750	C₂³	semidirect
380. #3750	C₂³	semidirect
381. #3750	C₂³	semidirect
382. #3750	C₂³	semidirect
383. #3750	C₂³	semidirect
384. C₄×C₃⋊Dic₃	C₂³	semidirect
385. C₄×C₃⋊Dic₃	C₂³	semidirect
386. C₄×C₃⋊Dic₃	C₂³	semidirect
387. C₄×C₃⋊Dic₃	C₂³	semidirect
388. C₄×C₃⋊Dic₃	C₂³	semidirect
403. C₃×#126	C₂×D₃	semidirect
404. C₃×#126	C₂×D₃	semidirect
405. C₃×#124	C₂×D₃	semidirect
406. C₃×#123	C₂×D₃	semidirect
407. C₃×#123	C₂×D₃	semidirect
408. C₃×#123	C₂×D₃	semidirect
409. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
410. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
412. C₃×C₄×D₄	C₂×D₃	semidirect
413. C₃×C₄×D₄	C₂×D₃	semidirect
414. C₃×#117	C₂×D₃	semidirect
415. C₃×#117	C₂×D₃	semidirect
416. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
417. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
576. C₂²×C₃⋊D₃	#41	semidirect
669. #551	C₃⋊D₃	semidirect
705. C₂×C₃×Q₈	C₂²×D₃	semidirect
713. C₂²×C₃×C₄	C₂²×D₃	semidirect
775. C₃×C₄⋊C₄	C₂²×D₃	semidirect
776. C₃×C₄⋊C₄	C₂²×D₃	semidirect
777. C₃×C₄⋊C₄	C₂²×D₃	semidirect
778. C₃×C₄⋊C₄	C₂²×D₃	semidirect
779. C₃×C₄⋊C₄	C₂²×D₃	semidirect
780. C₃×C₄⋊C₄	C₂²×D₃	semidirect
781. C₃×C₄⋊C₄	C₂²×D₃	semidirect
782. C₃×C₄⋊C₄	C₂²×D₃	semidirect
794. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
795. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
796. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
797. C₃×C₄²	C₂²×D₃	semidirect
798. C₃×C₄²	C₂²×D₃	semidirect
799. C₃×C₄²	C₂²×D₃	semidirect
945. #126	C₂×C₃⋊D₃	semidirect
946. #126	C₂×C₃⋊D₃	semidirect
954. #124	C₂×C₃⋊D₃	semidirect
972. #123	C₂×C₃⋊D₃	semidirect
973. #123	C₂×C₃⋊D₃	semidirect
974. #123	C₂×C₃⋊D₃	semidirect
989. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
990. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
1049. C₄×D₄	C₂×C₃⋊D₃	semidirect
1050. C₄×D₄	C₂×C₃⋊D₃	semidirect
1057. #117	C₂×C₃⋊D₃	semidirect
1058. #117	C₂×C₃⋊D₃	semidirect
1079. C₂×C₂²⋊C₄	C₂×C₃⋊D₃	semidirect
1080. C₂×C₂²⋊C₄	C₂×C₃⋊D₃	semidirect
1231. C₂×Q₈	C₂²×C₃⋊D₃	semidirect
1293. C₂²×C₄	C₂²×C₃⋊D₃	semidirect
1310. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1311. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1312. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1313. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1314. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1315. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1316. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1317. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1371. C₂²⋊C₄	C₂²×C₃⋊D₃	semidirect
1372. C₂²⋊C₄	C₂²×C₃⋊D₃	semidirect
1373. C₂²⋊C₄	C₂²×C₃⋊D₃	semidirect
1379. C₄²	C₂²×C₃⋊D₃	semidirect
1380. C₄²	C₂²×C₃⋊D₃	semidirect
1381. C₄²	C₂²×C₃⋊D₃	semidirect
1445. C₃²	#3490	semidirect
1640. C₃	#86815	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#551	2
#10596176	2
#10596175	2
#10596149	2
#10596147	2
#10596129	2
#10596128	2
#10596127	2
#10596125	2
#10596124	2
#10596108	2
#10596105	2
#10596101	2
#10596098	2
#10596062	2
C₃⋊D₃×#120	2
#10596025	2
#10596021	2
#10596018	2
#10596016	2
#10595998	2
#10595995	2
#10595992	2
#10595966	2
#10595961	2
C₂×#64091	2
C₂×C₂²⋊C₄×C₃⋊D₃	2
#86815	3