Subgroups — #11904830

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×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	#10596300	C₂	1	1	yes	maximal, characteristic, complemented
3	#10596299	C₂	1	1	yes	maximal, characteristic, complemented
4	#10596277	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#64146	C₂	1	1	yes	maximal, characteristic, complemented
6	#10596150	C₂	1	1	yes	maximal, characteristic, complemented
7	#10596149	C₂	1	1	yes	maximal, characteristic, complemented
8	#10596130	C₂	1	1	yes	maximal, characteristic, complemented
9	#10596129	C₂	1	1	yes	maximal, characteristic, complemented
10	#10596128	C₂	1	1	yes	maximal, characteristic, complemented
11	#10596127	C₂	1	1	yes	maximal, characteristic, complemented
12	#10596108	C₂	1	1	yes	maximal, characteristic, complemented
13	#10596105	C₂	1	1	yes	maximal, characteristic, complemented
14	#10596084	C₂	1	1	yes	maximal, characteristic, complemented
15	#10596084	C₂	1	1	yes	maximal, characteristic, complemented
16	#10596083	C₂	1	1	yes	maximal, characteristic, complemented
17	#10596081	C₂	1	1	yes	maximal, characteristic, complemented
18	#10596081	C₂	1	1	yes	maximal, characteristic, complemented
19	#10596077	C₂	1	1	yes	maximal, characteristic, complemented
20	#10596062	C₂	1	1	yes	maximal, characteristic, complemented
21	#10596060	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃⋊D₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
23	#10596058	C₂	1	1	yes	maximal, characteristic, complemented
24	#10596027	C₂	1	1	yes	maximal, characteristic, complemented
25	#10596027	C₂	1	1	yes	maximal, characteristic, complemented
26	#10596018	C₂	1	1	yes	maximal, characteristic, complemented
27	#10596016	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	#10595957	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₂²⋊C₄×C₃⋊D₃	C₂	1	1	yes	maximal, characteristic, complemented
32	#86664	—	3	4	no	maximal
33	C₂⁴×C₃⋊D₃	C₂²	1	1	yes	characteristic
34	C₂×C₃²×#41	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#638	C₂²	1	1	yes	characteristic
37	C₂²×#638	C₂²	1	1	yes	characteristic, complemented
38	C₂×#3830	C₂²	1	1	yes	characteristic, complemented
39	C₂×#3830	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
41	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#3828	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×#124	C₂²	1	1	yes	characteristic, complemented
47	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
48	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
49	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
51	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
52	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
53	C₃²×#120	C₂²	1	1	yes	characteristic
54	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
55	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
56	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
59	#64162	C₂²	1	1	yes	characteristic
60	#64162	C₂²	1	1	yes	characteristic, complemented
61	C₂×#3757	C₂²	1	1	yes	characteristic, complemented
62	C₂×#3757	C₂²	1	1	yes	characteristic, complemented
63	C₂×#3757	C₂²	1	1	yes	characteristic, complemented
64	#64156	C₂²	1	1	yes	characteristic, complemented
65	#64155	C₂²	1	1	yes	characteristic, complemented
66	#64155	C₂²	1	1	yes	characteristic, complemented
67	#64155	C₂²	1	1	yes	characteristic, complemented
68	#64148	C₂²	1	1	yes	characteristic, complemented
69	#64148	C₂²	1	1	yes	characteristic, complemented
70	#64148	C₂²	1	1	yes	characteristic, complemented
71	#64148	C₂²	1	1	yes	characteristic, complemented
72	#64147	C₂²	1	1	yes	characteristic, complemented
73	#64147	C₂²	1	1	yes	characteristic, complemented
74	#64147	C₂²	1	1	yes	characteristic, complemented
75	#64147	C₂²	1	1	yes	characteristic, complemented
76	#64146	C₂²	1	1	yes	characteristic
77	#64146	C₂²	1	1	yes	characteristic
78	#64146	C₂²	1	1	yes	characteristic
79	#64146	C₂²	1	1	yes	characteristic
80	#64146	C₂²	1	1	yes	characteristic
81	#64146	C₂²	1	1	yes	characteristic, complemented
82	#64146	C₂²	1	1	yes	characteristic, complemented
83	#64146	C₂²	1	1	yes	characteristic, complemented
84	#64146	C₂²	1	1	yes	characteristic, complemented
85	#64146	C₂²	1	1	yes	characteristic, complemented
86	#64146	C₂²	1	1	yes	characteristic, complemented
87	#64146	C₂²	1	1	yes	characteristic, complemented
88	#64146	C₂²	1	1	yes	characteristic, complemented
89	#64145	C₂²	1	1	yes	characteristic, complemented
90	#64145	C₂²	1	1	yes	characteristic, complemented
91	#64144	C₂²	1	1	yes	characteristic, complemented
92	#64144	C₂²	1	1	yes	characteristic, complemented
93	#64144	C₂²	1	1	yes	characteristic, complemented
94	#64144	C₂²	1	1	yes	characteristic, complemented
95	#64144	C₂²	1	1	yes	characteristic, complemented
96	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
97	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
98	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
99	#64139	C₂²	1	1	yes	characteristic, complemented
100	#64138	C₂²	1	1	yes	characteristic, complemented
101	#64138	C₂²	1	1	yes	characteristic, complemented
102	#64138	C₂²	1	1	yes	characteristic, complemented
103	C₄×#638	C₂²	1	1	yes	characteristic, complemented
104	C₄×#638	C₂²	1	1	yes	characteristic, complemented
105	C₄×#638	C₂²	1	1	yes	characteristic, complemented
106	C₄×#638	C₂²	1	1	yes	characteristic, complemented
107	C₄×#638	C₂²	1	1	yes	characteristic, complemented
108	C₄×#638	C₂²	1	1	yes	characteristic, complemented
109	C₄×#638	C₂²	1	1	yes	characteristic, complemented
110	C₄×#638	C₂²	1	1	yes	characteristic, complemented
111	C₄×#638	C₂²	1	1	yes	characteristic, complemented
112	C₂×#3752	C₂²	1	1	yes	characteristic
113	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
114	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
115	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
116	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
117	#64135	C₂²	1	1	yes	characteristic, complemented
118	#64133	C₂²	1	1	yes	characteristic, complemented
119	#64133	C₂²	1	1	yes	characteristic, complemented
120	#64107	C₂²	1	1	yes	characteristic, complemented
121	#64107	C₂²	1	1	yes	characteristic, complemented
122	#64107	C₂²	1	1	yes	characteristic, complemented
123	#64106	C₂²	1	1	yes	characteristic, complemented
124	#64106	C₂²	1	1	yes	characteristic, complemented
125	#64105	C₂²	1	1	yes	characteristic, complemented
126	#64105	C₂²	1	1	yes	characteristic, complemented
127	#64105	C₂²	1	1	yes	characteristic, complemented
128	#64105	C₂²	1	1	yes	characteristic, complemented
129	#64105	C₂²	1	1	yes	characteristic, complemented
130	#64103	C₂²	1	1	yes	characteristic, complemented
131	#64103	C₂²	1	1	yes	characteristic, complemented
132	#64102	C₂²	1	1	yes	characteristic, complemented
133	#64102	C₂²	1	1	yes	characteristic, complemented
134	#64101	C₂²	1	1	yes	characteristic, complemented
135	#64101	C₂²	1	1	yes	characteristic, complemented
136	#64095	C₂²	1	1	yes	characteristic, complemented
137	#64095	C₂²	1	1	yes	characteristic, complemented
138	#64094	C₂²	1	1	yes	characteristic, complemented
139	#64094	C₂²	1	1	yes	characteristic, complemented
140	#64094	C₂²	1	1	yes	characteristic, complemented
141	#64094	C₂²	1	1	yes	characteristic, complemented
142	#64093	C₂²	1	1	yes	characteristic, complemented
143	#64093	C₂²	1	1	yes	characteristic, complemented
144	#64093	C₂²	1	1	yes	characteristic, complemented
145	#64093	C₂²	1	1	yes	characteristic, complemented
146	#64092	C₂²	1	1	yes	characteristic, complemented
147	#64092	C₂²	1	1	yes	characteristic, complemented
148	#64092	C₂²	1	1	yes	characteristic, complemented
149	#64092	C₂²	1	1	yes	characteristic, complemented
150	#64092	C₂²	1	1	yes	characteristic, complemented
151	#64092	C₂²	1	1	yes	characteristic, complemented
152	#64091	C₂²	1	1	yes	characteristic
153	#64091	C₂²	1	1	yes	characteristic, complemented
154	#64091	C₂²	1	1	yes	characteristic, complemented
155	#64090	C₂²	1	1	yes	characteristic, complemented
156	#64090	C₂²	1	1	yes	characteristic, complemented
157	#64090	C₂²	1	1	yes	characteristic, complemented
158	#64090	C₂²	1	1	yes	characteristic, complemented
159	#64090	C₂²	1	1	yes	characteristic, complemented
160	#64090	C₂²	1	1	yes	characteristic, complemented
161	#64090	C₂²	1	1	yes	characteristic, complemented
162	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
164	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
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	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
172	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
173	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
174	#64088	C₂²	1	1	yes	characteristic, complemented
175	#64088	C₂²	1	1	yes	characteristic, complemented
176	#64088	C₂²	1	1	yes	characteristic, complemented
177	#64088	C₂²	1	1	yes	characteristic, complemented
178	#64087	C₂²	1	1	yes	characteristic, complemented
179	#64087	C₂²	1	1	yes	characteristic, complemented
180	#64087	C₂²	1	1	yes	characteristic, complemented
181	#64086	C₂²	1	1	yes	characteristic, complemented
182	#64086	C₂²	1	1	yes	characteristic, complemented
183	#64086	C₂²	1	1	yes	characteristic, complemented
184	#64085	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×#546	D₃	1	4	yes	complemented
189	#5829	—	3	4	no	—
190	#5828	—	3	4	no	—
191	#5806	—	3	4	no	—
192	C₂×#937	—	3	4	no	—
193	#5679	—	3	4	no	—
194	#5678	—	3	4	no	—
195	#5659	—	3	4	no	—
196	#5658	—	3	4	no	—
197	#5657	—	3	4	no	—
198	#5656	—	3	4	no	—
199	#5637	—	3	4	no	—
200	#5634	—	3	4	no	—
201	#5613	—	3	4	no	—
202	#5613	—	3	4	no	—
203	#5612	—	3	4	no	—
204	#5610	—	3	4	no	—
205	#5610	—	3	4	no	—
206	#5606	—	3	4	no	—
207	#5591	—	3	4	no	—
208	#5589	—	3	4	no	—
209	D₃×#120	—	3	4	no	—
210	#5587	—	3	4	no	—
211	#5556	—	3	4	no	—
212	#5556	—	3	4	no	—
213	#5547	—	3	4	no	—
214	#5545	—	3	4	no	—
215	#5495	—	3	4	no	—
216	#5490	—	3	4	no	—
217	#5486	—	3	4	no	—
218	C₂×D₃×C₂²⋊C₄	—	3	4	no	—
219	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
220	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
221	C₂³×C₃⋊D₃	—	2	4	no	—
222	C₂³×C₃⋊D₃	—	4	2	no	—
223	C₂³×C₃⋊D₃	—	4	2	no	—
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	C₃²×#41	—	4	2	no	—
232	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic, complemented
233	C₂×C₃²×D₄	—	4	2	no	—
234	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
235	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
236	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
237	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
238	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
239	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
240	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
241	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic, complemented
242	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic, complemented
243	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
244	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
245	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
246	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
247	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
248	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
249	C₂×#638	—	2	4	no	—
250	C₂×#638	—	4	2	no	—
251	C₂×#638	C₂³	1	1	yes	characteristic
252	C₂×#638	C₂³	1	1	yes	characteristic
253	C₂×#638	C₂³	1	1	yes	characteristic
254	C₂×#638	C₂³	1	1	yes	characteristic
255	C₂×#638	C₂³	1	1	yes	characteristic
256	C₂×#638	C₂³	1	1	yes	characteristic
257	C₂×#638	C₂³	1	1	yes	characteristic
258	C₂×#638	C₂³	1	1	yes	characteristic
259	C₂×#638	C₂³	1	1	yes	characteristic
260	C₂×#638	C₂³	1	1	yes	characteristic
261	C₂×#638	C₂³	1	1	yes	characteristic
262	C₂×#638	C₂³	1	1	yes	characteristic
263	C₂×#638	C₂³	1	1	yes	characteristic
264	C₂×#638	C₂³	1	1	yes	characteristic
265	C₂×#638	C₂³	1	1	yes	characteristic, complemented
266	C₂×#638	C₂³	1	1	yes	characteristic, complemented
267	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
268	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
269	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
270	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
271	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
272	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
273	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
274	#3830	—	4	2	no	—
275	#3830	—	4	2	no	—
276	D₄×C₃⋊D₃	—	2	4	no	—
277	D₄×C₃⋊D₃	—	4	2	no	—
278	D₄×C₃⋊D₃	—	4	2	no	—
279	#3828	—	4	2	no	—
280	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
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	—	4	2	no	—
284	C₂×C₄×C₃⋊D₃	—	4	2	no	—
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, 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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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, complemented
313	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
314	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
315	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
316	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
317	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
318	#3757	C₂³	1	1	yes	characteristic
319	#3757	C₂³	1	1	yes	characteristic
320	#3757	C₂³	1	1	yes	characteristic
321	#3757	C₂³	1	1	yes	characteristic
322	#3757	C₂³	1	1	yes	characteristic
323	#3757	C₂³	1	1	yes	characteristic
324	#3757	C₂³	1	1	yes	characteristic
325	#3757	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, complemented
330	#3757	C₂³	1	1	yes	characteristic, complemented
331	#3757	C₂³	1	1	yes	characteristic, complemented
332	#3757	C₂³	1	1	yes	characteristic, complemented
333	#3757	C₂³	1	1	yes	characteristic, complemented
334	#3757	C₂³	1	1	yes	characteristic, complemented
335	#3757	C₂³	1	1	yes	characteristic, complemented
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, 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	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
363	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
364	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
365	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
366	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
367	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
368	#3750	C₂³	1	1	yes	characteristic, complemented
369	#3750	C₂³	1	1	yes	characteristic, complemented
370	#3750	C₂³	1	1	yes	characteristic, complemented
371	#3750	C₂³	1	1	yes	characteristic, complemented
372	#3750	C₂³	1	1	yes	characteristic, complemented
373	#3750	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	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
383	C₄×C₃⋊Dic₃	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	C₂×C₃×#41	C₂×D₃	1	4	yes	complemented
392	C₂²×C₃×D₄	C₂×D₃	1	4	yes	complemented
393	C₂²×#67	—	3	4	no	—
394	C₂²×#67	—	3	4	no	—
395	C₂×#237	—	3	4	no	—
396	C₂×#237	—	3	4	no	—
397	C₂×D₃×D₄	—	3	4	no	—
398	C₂×D₃×D₄	—	3	4	no	—
399	C₂×D₃×D₄	—	3	4	no	—
400	C₂×#235	—	3	4	no	—
401	C₂²×C₄×D₃	—	3	4	no	—
402	C₂²×C₄×D₃	—	3	4	no	—
403	C₃×#124	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×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
407	C₃×#121	C₂×D₃	1	4	yes	complemented
408	C₃×#121	C₂×D₃	1	4	yes	complemented
409	C₃×#121	C₂×D₃	1	4	yes	complemented
410	C₃×#120	C₂×D₃	1	4	yes	—
411	C₃×#120	C₂×D₃	1	4	yes	complemented
412	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
413	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
414	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	4	yes	complemented
415	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	4	yes	complemented
416	#953	—	3	4	no	—
417	#953	—	3	4	no	—
418	C₂×#217	—	3	4	no	—
419	C₂×#217	—	3	4	no	—
420	C₂×#217	—	3	4	no	—
421	#947	—	3	4	no	—
422	#946	—	3	4	no	—
423	#946	—	3	4	no	—
424	#946	—	3	4	no	—
425	#939	—	3	4	no	—
426	#939	—	3	4	no	—
427	#939	—	3	4	no	—
428	#939	—	3	4	no	—
429	#938	—	3	4	no	—
430	#938	—	3	4	no	—
431	#938	—	3	4	no	—
432	#938	—	3	4	no	—
433	#937	—	3	4	no	—
434	#937	—	3	4	no	—
435	#937	—	3	4	no	—
436	#937	—	3	4	no	—
437	#937	—	3	4	no	—
438	#937	—	3	4	no	—
439	#937	—	3	4	no	—
440	#937	—	3	4	no	—
441	#937	—	3	4	no	—
442	#937	—	3	4	no	—
443	#937	—	3	4	no	—
444	#937	—	3	4	no	—
445	#937	—	3	4	no	—
446	#936	—	3	4	no	—
447	#936	—	3	4	no	—
448	#935	—	3	4	no	—
449	#935	—	3	4	no	—
450	#935	—	3	4	no	—
451	#935	—	3	4	no	—
452	#935	—	3	4	no	—
453	D₄×Dic₃	—	3	4	no	—
454	D₄×Dic₃	—	3	4	no	—
455	D₄×Dic₃	—	3	4	no	—
456	#930	—	3	4	no	—
457	#929	—	3	4	no	—
458	#929	—	3	4	no	—
459	#929	—	3	4	no	—
460	C₄×#67	—	3	4	no	—
461	C₄×#67	—	3	4	no	—
462	C₄×#67	—	3	4	no	—
463	C₄×#67	—	3	4	no	—
464	C₄×#67	—	3	4	no	—
465	C₄×#67	—	3	4	no	—
466	C₄×#67	—	3	4	no	—
467	C₄×#67	—	3	4	no	—
468	C₄×#67	—	3	4	no	—
469	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
470	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
471	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
472	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
473	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
474	#926	—	3	4	no	—
475	#924	—	3	4	no	—
476	#924	—	3	4	no	—
477	#898	—	3	4	no	—
478	#898	—	3	4	no	—
479	#898	—	3	4	no	—
480	#897	—	3	4	no	—
481	#897	—	3	4	no	—
482	#896	—	3	4	no	—
483	#896	—	3	4	no	—
484	#896	—	3	4	no	—
485	#896	—	3	4	no	—
486	#896	—	3	4	no	—
487	#894	—	3	4	no	—
488	#894	—	3	4	no	—
489	#893	—	3	4	no	—
490	#893	—	3	4	no	—
491	#892	—	3	4	no	—
492	#892	—	3	4	no	—
493	#886	—	3	4	no	—
494	#886	—	3	4	no	—
495	#885	—	3	4	no	—
496	#885	—	3	4	no	—
497	#885	—	3	4	no	—
498	#885	—	3	4	no	—
499	#884	—	3	4	no	—
500	#884	—	3	4	no	—
501	#884	—	3	4	no	—
502	#884	—	3	4	no	—
503	#883	—	3	4	no	—
504	#883	—	3	4	no	—
505	#883	—	3	4	no	—
506	#883	—	3	4	no	—
507	#883	—	3	4	no	—
508	#883	—	3	4	no	—
509	#882	—	3	4	no	—
510	#882	—	3	4	no	—
511	#882	—	3	4	no	—
512	#67⋊C₄	—	3	4	no	—
513	#67⋊C₄	—	3	4	no	—
514	#67⋊C₄	—	3	4	no	—
515	#67⋊C₄	—	3	4	no	—
516	#67⋊C₄	—	3	4	no	—
517	#67⋊C₄	—	3	4	no	—
518	#67⋊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	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	#879	—	3	4	no	—
532	#879	—	3	4	no	—
533	#879	—	3	4	no	—
534	#879	—	3	4	no	—
535	#878	—	3	4	no	—
536	#878	—	3	4	no	—
537	#878	—	3	4	no	—
538	#877	—	3	4	no	—
539	#877	—	3	4	no	—
540	#877	—	3	4	no	—
541	#876	—	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	—	2	2	no	—
548	C₂³×C₃²	—	4	1	no	—
549	C₂³×C₃²	—	4	1	no	—
550	C₂³×C₃²	—	4	1	no	—
551	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
552	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
553	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
554	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
555	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
556	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
565	C₂²×C₃⋊D₃	—	2	2	no	—
566	C₂²×C₃⋊D₃	—	2	2	no	—
567	C₂²×C₃⋊D₃	—	2	2	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	1	no	—
576	C₂²×C₃⋊D₃	—	4	1	no	—
577	C₂²×C₃⋊D₃	—	4	16	no	—
578	C₂²×C₃⋊D₃	#41	1	4	yes	complemented
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	—	2	2	no	—
588	C₃²×D₄	—	2	2	no	—
589	C₃²×D₄	—	4	1	no	—
590	C₃²×D₄	—	4	1	no	—
591	C₃²×D₄	—	4	1	no	—
592	C₃²×D₄	—	4	1	no	—
593	C₃²×D₄	—	4	1	no	—
594	C₂×C₃²×C₄	—	2	2	no	—
595	C₂×C₃²×C₄	—	4	1	no	—
596	C₂×C₃²×C₄	—	4	1	no	—
597	C₂×C₃²×C₄	—	4	1	no	—
598	C₂×C₃²×C₄	—	4	1	no	—
599	C₂×C₃²×C₄	—	4	1	no	—
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	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
605	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
606	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
607	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
608	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
609	#638	—	2	2	no	—
610	#638	—	2	2	no	—
611	#638	—	2	2	no	—
612	#638	—	2	2	no	—
613	#638	—	2	2	no	—
614	#638	—	2	2	no	—
615	#638	—	2	2	no	—
616	#638	—	2	2	no	—
617	#638	—	2	2	no	—
618	#638	—	2	2	no	—
619	#638	—	4	1	no	—
620	#638	—	4	1	no	—
621	#638	—	4	1	no	—
622	#638	—	4	1	no	—
623	#638	—	4	1	no	—
624	#638	—	4	1	no	—
625	C₂×C₃⋊Dic₃	—	2	2	no	—
626	C₂×C₃⋊Dic₃	—	2	2	no	—
627	C₂×C₃⋊Dic₃	—	4	1	no	—
628	C₂×C₃⋊Dic₃	—	4	1	no	—
629	C₂×C₃⋊Dic₃	—	4	1	no	—
630	C₂×C₃⋊Dic₃	—	4	1	no	—
631	C₂×C₃⋊Dic₃	—	4	1	no	—
632	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
633	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
636	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
637	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
638	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
639	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
640	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
641	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
642	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
647	C₄×C₃⋊D₃	—	2	2	no	—
648	C₄×C₃⋊D₃	—	2	2	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	—	9	1	no	—
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	C₃⋊D₃	1	1	yes	characteristic, complemented
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	C₂⁴×C₃	C₂²×D₃	1	4	yes	—
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	C₃×#41	—	4	8	no	—
706	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	complemented
707	C₂×C₃×D₄	—	4	8	no	—
708	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
709	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
710	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
711	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
712	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
713	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
714	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
715	C₂×C₃×D₄	C₂²×D₃	1	4	yes	complemented
716	C₂×C₃×D₄	C₂²×D₃	1	4	yes	complemented
717	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
718	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
719	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
720	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	complemented
721	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	complemented
722	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	complemented
723	C₂×#67	—	3	4	no	—
724	C₂×#67	—	3	4	no	—
725	C₂×#67	—	3	4	no	—
726	C₂×#67	—	3	4	no	—
727	C₂×#67	—	3	4	no	—
728	C₂×#67	—	3	4	no	—
729	C₂×#67	—	3	4	no	—
730	C₂×#67	—	3	4	no	—
731	C₂×#67	—	3	4	no	—
732	C₂×#67	—	3	4	no	—
733	C₂×#67	—	3	4	no	—
734	C₂×#67	—	3	4	no	—
735	C₂×#67	—	3	4	no	—
736	C₂×#67	—	3	4	no	—
737	C₂×#67	—	3	4	no	—
738	C₂×#67	—	3	4	no	—
739	C₂×#67	—	6	16	no	—
740	C₂×#67	—	12	8	no	—
741	C₂²×Dic₃	—	3	4	no	—
742	C₂²×Dic₃	—	3	4	no	—
743	C₂²×Dic₃	—	3	4	no	—
744	C₂²×Dic₃	—	3	4	no	—
745	C₂²×Dic₃	—	3	4	no	—
746	C₂²×Dic₃	—	3	4	no	—
747	C₂²×Dic₃	—	3	4	no	—
748	#237	—	12	8	no	—
749	#237	—	12	8	no	—
750	D₃×D₄	—	6	16	no	—
751	D₃×D₄	—	12	8	no	—
752	D₃×D₄	—	12	8	no	—
753	#235	—	12	8	no	—
754	C₂×D₁₂	—	3	4	no	—
755	C₂×D₁₂	—	3	4	no	—
756	C₂×D₁₂	—	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×C₂²⋊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	complemented
787	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
788	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
789	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
790	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
791	C₃×C₄²	C₂²×D₃	1	4	yes	complemented
792	#217	—	3	4	no	—
793	#217	—	3	4	no	—
794	#217	—	3	4	no	—
795	#217	—	3	4	no	—
796	#217	—	3	4	no	—
797	#217	—	3	4	no	—
798	#217	—	3	4	no	—
799	#217	—	3	4	no	—
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	#217	—	3	4	no	—
809	#217	—	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	C₄⋊Dic₃	—	3	4	no	—
837	C₄⋊Dic₃	—	3	4	no	—
838	C₄⋊Dic₃	—	3	4	no	—
839	C₄⋊Dic₃	—	3	4	no	—
840	C₄⋊Dic₃	—	3	4	no	—
841	C₄⋊Dic₃	—	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	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	C₄×Dic₃	—	3	4	no	—
857	C₄×Dic₃	—	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	—	2	1	no	—
874	C₂²×C₃²	—	2	1	no	—
875	C₂²×C₃²	—	2	1	no	—
876	C₂²×C₃²	—	2	1	no	—
877	C₂²×C₃²	—	2	1	no	—
878	C₂²×C₃²	—	2	1	no	—
879	C₂²×C₃²	—	4	4	no	—
880	C₂²×C₃²	—	8	2	no	—
881	C₂²×C₃²	C₂×#41	1	2	yes	—
882	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
883	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
884	C₂×C₃⋊D₃	—	2	8	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	—	2	1	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	—	4	4	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	C₃⋊Dic₃	—	2	1	no	—
916	C₃⋊Dic₃	—	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	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
946	#126	—	9	1	no	—
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	—	9	1	no	—
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	—	9	1	no	—
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	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1005	#121	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1006	#121	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	C₂×C₃⋊D₃	1	1	yes	characteristic
1026	#120	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
1058	#117	—	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	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	—	2	8	no	—
1084	C₂³×C₃	—	4	4	no	—
1085	C₂³×C₃	—	4	4	no	—
1086	C₂³×C₃	—	4	4	no	—
1087	C₂³×C₃	C₂³×D₃	1	4	yes	—
1088	C₂³×C₃	C₂³×D₃	1	4	yes	—
1089	C₂³×C₃	C₂³×D₃	1	4	yes	—
1090	C₂³×C₃	C₂³×D₃	1	4	yes	—
1091	C₂³×C₃	C₂³×D₃	1	4	yes	—
1092	C₂³×C₃	C₂³×D₃	1	4	yes	—
1093	C₂²×D₃	—	3	4	no	—
1094	C₂²×D₃	—	3	4	no	—
1095	C₂²×D₃	—	3	4	no	—
1096	C₂²×D₃	—	3	16	no	—
1097	C₂²×D₃	—	3	4	no	—
1098	C₂²×D₃	—	3	4	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	—	6	8	no	—
1109	C₂²×D₃	—	6	8	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	—	2	8	no	—
1124	C₃×D₄	—	2	8	no	—
1125	C₃×D₄	—	4	4	no	—
1126	C₃×D₄	—	4	4	no	—
1127	C₃×D₄	—	4	4	no	—
1128	C₃×D₄	—	4	4	no	—
1129	C₃×D₄	—	4	4	no	—
1130	C₂×C₃×C₄	—	2	8	no	—
1131	C₂×C₃×C₄	—	4	4	no	—
1132	C₂×C₃×C₄	—	4	4	no	—
1133	C₂×C₃×C₄	—	4	4	no	—
1134	C₂×C₃×C₄	—	4	4	no	—
1135	C₂×C₃×C₄	—	4	4	no	—
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	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1141	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1142	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1143	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1144	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1145	#67	—	6	8	no	—
1146	#67	—	6	8	no	—
1147	#67	—	6	8	no	—
1148	#67	—	6	8	no	—
1149	#67	—	6	8	no	—
1150	#67	—	6	8	no	—
1151	#67	—	6	8	no	—
1152	#67	—	6	8	no	—
1153	#67	—	6	8	no	—
1154	#67	—	6	8	no	—
1155	#67	—	12	4	no	—
1156	#67	—	12	4	no	—
1157	#67	—	12	4	no	—
1158	#67	—	12	4	no	—
1159	#67	—	12	4	no	—
1160	#67	—	12	4	no	—
1161	C₂×Dic₃	—	3	4	no	—
1162	C₂×Dic₃	—	3	4	no	—
1163	C₂×Dic₃	—	3	4	no	—
1164	C₂×Dic₃	—	3	4	no	—
1165	C₂×Dic₃	—	3	4	no	—
1166	C₂×Dic₃	—	3	4	no	—
1167	C₂×Dic₃	—	3	4	no	—
1168	C₂×Dic₃	—	3	4	no	—
1169	C₂×Dic₃	—	3	4	no	—
1170	C₂×Dic₃	—	3	4	no	—
1171	C₂×Dic₃	—	3	4	no	—
1172	C₂×Dic₃	—	6	8	no	—
1173	C₂×Dic₃	—	6	8	no	—
1174	C₂×Dic₃	—	12	4	no	—
1175	C₂×Dic₃	—	12	4	no	—
1176	C₂×Dic₃	—	12	4	no	—
1177	C₂×Dic₃	—	12	4	no	—
1178	C₂×Dic₃	—	12	4	no	—
1179	D₁₂	—	6	8	no	—
1180	D₁₂	—	6	8	no	—
1181	D₁₂	—	12	4	no	—
1182	C₄×D₃	—	6	8	no	—
1183	C₄×D₃	—	6	8	no	—
1184	C₄×D₃	—	6	8	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	—	4	1	no	—
1203	C₂×C₃²	—	4	1	no	—
1204	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1205	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1206	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1207	C₃⋊D₃	—	2	2	no	—
1208	C₃⋊D₃	—	2	2	no	—
1209	C₃⋊D₃	—	2	2	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	—	18	4	no	—
1220	C₂⁴	—	36	2	no	—
1221	C₂⁴	—	36	2	no	—
1222	C₂⁴	C₂²×C₃⋊D₃	1	1	yes	characteristic
1223	C₂⁴	C₂²×C₃⋊D₃	1	1	yes	characteristic
1224	#41	—	4	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	—	4	2	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	—	18	4	no	—
1253	C₂×D₄	—	18	4	no	—
1254	C₂×D₄	—	36	2	no	—
1255	C₂×D₄	—	36	2	no	—
1256	C₂×D₄	—	36	2	no	—
1257	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1258	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1259	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1260	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1261	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1262	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1263	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1264	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1265	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	36	2	no	—
1287	C₂²×C₄	—	36	2	no	—
1288	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
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, complemented
1292	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
1311	C₄⋊C₄	—	9	1	no	—
1312	C₄⋊C₄	—	9	1	no	—
1313	C₄⋊C₄	—	9	1	no	—
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	—	9	1	no	—
1361	C₂²⋊C₄	—	9	1	no	—
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, complemented
1370	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
1380	C₄²	—	9	1	no	—
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	—	2	4	no	—
1393	C₂²×C₃	—	2	4	no	—
1394	C₂²×C₃	—	2	4	no	—
1395	C₂²×C₃	—	2	4	no	—
1396	C₂²×C₃	—	2	4	no	—
1397	C₂²×C₃	—	2	4	no	—
1398	C₂²×C₃	—	4	16	no	—
1399	C₂²×C₃	—	8	8	no	—
1400	C₂²×C₃	#1004	1	8	yes	—
1401	C₂²×C₃	D₃×#41	1	8	yes	—
1402	C₂²×C₃	C₂⁴×D₃	1	4	yes	—
1403	C₂×D₃	—	3	8	no	—
1404	C₂×D₃	—	3	8	no	—
1405	C₂×D₃	—	3	8	no	—
1406	C₂×D₃	—	6	32	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	—	6	4	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	—	12	16	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	Dic₃	—	6	4	no	—
1435	Dic₃	—	6	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	—	2	2	no	—
1449	C₂³	—	4	1	no	—
1450	C₂³	—	4	1	no	—
1451	C₂³	—	4	1	no	—
1452	C₂³	—	9	1	no	—
1453	C₂³	—	9	1	no	—
1454	C₂³	—	9	1	no	—
1455	C₂³	—	9	4	no	—
1456	C₂³	—	9	1	no	—
1457	C₂³	—	9	1	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	16	no	—
1479	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1480	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
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	—	2	2	no	—
1492	D₄	—	2	2	no	—
1493	D₄	—	4	1	no	—
1494	D₄	—	4	1	no	—
1495	D₄	—	4	1	no	—
1496	D₄	—	4	1	no	—
1497	D₄	—	4	1	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	—	18	2	no	—
1507	D₄	—	18	2	no	—
1508	D₄	—	18	2	no	—
1509	D₄	—	18	2	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	—	4	1	no	—
1519	C₂×C₄	—	4	1	no	—
1520	C₂×C₄	—	4	1	no	—
1521	C₂×C₄	—	4	1	no	—
1522	C₂×C₄	—	4	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	—	9	1	no	—
1532	C₂×C₄	—	9	1	no	—
1533	C₂×C₄	—	9	1	no	—
1534	C₂×C₄	—	18	2	no	—
1535	C₂×C₄	—	18	2	no	—
1536	C₂×C₄	—	18	2	no	—
1537	C₂×C₄	—	18	2	no	—
1538	C₂×C₄	—	18	2	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	—	36	1	no	—
1553	C₂×C₄	—	36	1	no	—
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	—	4	4	no	—
1568	C₂×C₃	—	4	4	no	—
1569	C₂×C₃	C₂×#1004	1	4	yes	—
1570	C₂×C₃	C₂×D₃×#41	1	4	yes	—
1571	C₂×C₃	D₃×H(5,𝔽₂)	1	4	yes	—
1572	D₃	—	6	8	no	—
1573	D₃	—	6	8	no	—
1574	D₃	—	6	8	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	—	2	1	no	—
1588	C₂²	—	2	1	no	—
1589	C₂²	—	2	1	no	—
1590	C₂²	—	2	1	no	—
1591	C₂²	—	2	1	no	—
1592	C₂²	—	2	1	no	—
1593	C₂²	—	4	4	no	—
1594	C₂²	—	8	2	no	—
1595	C₂²	—	9	2	no	—
1596	C₂²	—	9	2	no	—
1597	C₂²	—	9	2	no	—
1598	C₂²	—	18	8	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	—	18	1	no	—
1611	C₂²	—	36	4	no	—
1612	C₂²	—	36	4	no	—
1613	C₂²	—	36	4	no	—
1614	C₂²	—	36	4	no	—
1615	C₂²	—	36	4	no	—
1616	C₂²	—	72	2	no	—
1617	C₂²	#64361	1	2	yes	—
1618	C₂²	#41×C₃⋊D₃	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	—	18	1	no	—
1630	C₄	—	18	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	#86664	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	—	4	1	no	—
1646	C₂	—	4	1	no	—
1647	C₂	—	18	2	no	—
1648	C₂	—	18	2	no	—
1649	C₂	—	18	2	no	—
1650	C₂	—	36	1	no	—
1651	C₂	—	36	1	no	—
1652	C₂	C₂×#64361	1	1	yes	characteristic
1653	C₂	C₂×#41×C₃⋊D₃	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×#546	C₂
hypercenter	#546	C₃⋊D₃
hypocenter	C₃²	#3490
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. C₃²×#546	C₂	semidirect
2. #10596300	C₂	semidirect
3. #10596299	C₂	semidirect
4. #10596277	C₂	semidirect
5. C₂×#64146	C₂	semidirect
6. #10596150	C₂	semidirect
7. #10596149	C₂	semidirect
8. #10596130	C₂	semidirect
9. #10596129	C₂	semidirect
10. #10596128	C₂	semidirect
11. #10596127	C₂	semidirect
12. #10596108	C₂	semidirect
13. #10596105	C₂	semidirect
14. #10596084	C₂	semidirect
15. #10596084	C₂	semidirect
16. #10596083	C₂	semidirect
17. #10596081	C₂	semidirect
18. #10596081	C₂	semidirect
19. #10596077	C₂	semidirect
20. #10596062	C₂	semidirect
21. #10596060	C₂	semidirect
22. C₃⋊D₃×#120	C₂	semidirect
23. #10596058	C₂	semidirect
24. #10596027	C₂	semidirect
25. #10596027	C₂	semidirect
26. #10596018	C₂	semidirect
27. #10596016	C₂	semidirect
28. #10595966	C₂	semidirect
29. #10595961	C₂	semidirect
30. #10595957	C₂	semidirect
31. C₂×C₂²⋊C₄×C₃⋊D₃	C₂	semidirect
34. C₂×C₃²×#41	C₂²	semidirect
35. C₂²×C₃²×D₄	C₂²	semidirect
37. C₂²×#638	C₂²	semidirect
38. C₂×#3830	C₂²	semidirect
39. C₂×#3830	C₂²	semidirect
41. C₂×D₄×C₃⋊D₃	C₂²	semidirect
42. C₂×D₄×C₃⋊D₃	C₂²	semidirect
43. C₂×#3828	C₂²	semidirect
44. C₂²×C₄×C₃⋊D₃	C₂²	semidirect
45. C₂²×C₄×C₃⋊D₃	C₂²	semidirect
46. C₃²×#124	C₂²	semidirect
47. C₃²×#123	C₂²	semidirect
48. C₃²×#123	C₂²	semidirect
49. C₃²×C₂²⋊Q₈	C₂²	semidirect
50. C₃²×#121	C₂²	semidirect
51. C₃²×#121	C₂²	semidirect
52. C₃²×#121	C₂²	semidirect
54. C₃²×#120	C₂²	semidirect
55. C₃²×C₄×D₄	C₂²	semidirect
56. C₃²×C₄×D₄	C₂²	semidirect
57. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
58. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
60. #64162	C₂²	semidirect
61. C₂×#3757	C₂²	semidirect
62. C₂×#3757	C₂²	semidirect
63. C₂×#3757	C₂²	semidirect
64. #64156	C₂²	semidirect
65. #64155	C₂²	semidirect
66. #64155	C₂²	semidirect
67. #64155	C₂²	semidirect
68. #64148	C₂²	semidirect
69. #64148	C₂²	semidirect
70. #64148	C₂²	semidirect
71. #64148	C₂²	semidirect
72. #64147	C₂²	semidirect
73. #64147	C₂²	semidirect
74. #64147	C₂²	semidirect
75. #64147	C₂²	semidirect
81. #64146	C₂²	semidirect
82. #64146	C₂²	semidirect
83. #64146	C₂²	semidirect
84. #64146	C₂²	semidirect
85. #64146	C₂²	semidirect
86. #64146	C₂²	semidirect
87. #64146	C₂²	semidirect
88. #64146	C₂²	semidirect
89. #64145	C₂²	semidirect
90. #64145	C₂²	semidirect
91. #64144	C₂²	semidirect
92. #64144	C₂²	semidirect
93. #64144	C₂²	semidirect
94. #64144	C₂²	semidirect
95. #64144	C₂²	semidirect
96. D₄×C₃⋊Dic₃	C₂²	semidirect
97. D₄×C₃⋊Dic₃	C₂²	semidirect
98. D₄×C₃⋊Dic₃	C₂²	semidirect
99. #64139	C₂²	semidirect
100. #64138	C₂²	semidirect
101. #64138	C₂²	semidirect
102. #64138	C₂²	semidirect
103. C₄×#638	C₂²	semidirect
104. C₄×#638	C₂²	semidirect
105. C₄×#638	C₂²	semidirect
106. C₄×#638	C₂²	semidirect
107. C₄×#638	C₂²	semidirect
108. C₄×#638	C₂²	semidirect
109. C₄×#638	C₂²	semidirect
110. C₄×#638	C₂²	semidirect
111. C₄×#638	C₂²	semidirect
113. C₂×#3752	C₂²	semidirect
114. C₂×#3752	C₂²	semidirect
115. C₂×#3752	C₂²	semidirect
116. C₂×#3752	C₂²	semidirect
117. #64135	C₂²	semidirect
118. #64133	C₂²	semidirect
119. #64133	C₂²	semidirect
120. #64107	C₂²	semidirect
121. #64107	C₂²	semidirect
122. #64107	C₂²	semidirect
123. #64106	C₂²	semidirect
124. #64106	C₂²	semidirect
125. #64105	C₂²	semidirect
126. #64105	C₂²	semidirect
127. #64105	C₂²	semidirect
128. #64105	C₂²	semidirect
129. #64105	C₂²	semidirect
130. #64103	C₂²	semidirect
131. #64103	C₂²	semidirect
132. #64102	C₂²	semidirect
133. #64102	C₂²	semidirect
134. #64101	C₂²	semidirect
135. #64101	C₂²	semidirect
136. #64095	C₂²	semidirect
137. #64095	C₂²	semidirect
138. #64094	C₂²	semidirect
139. #64094	C₂²	semidirect
140. #64094	C₂²	semidirect
141. #64094	C₂²	semidirect
142. #64093	C₂²	semidirect
143. #64093	C₂²	semidirect
144. #64093	C₂²	semidirect
145. #64093	C₂²	semidirect
146. #64092	C₂²	semidirect
147. #64092	C₂²	semidirect
148. #64092	C₂²	semidirect
149. #64092	C₂²	semidirect
150. #64092	C₂²	semidirect
151. #64092	C₂²	semidirect
153. #64091	C₂²	semidirect
154. #64091	C₂²	semidirect
155. #64090	C₂²	semidirect
156. #64090	C₂²	semidirect
157. #64090	C₂²	semidirect
158. #64090	C₂²	semidirect
159. #64090	C₂²	semidirect
160. #64090	C₂²	semidirect
161. #64090	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. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
171. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
172. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
173. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
174. #64088	C₂²	semidirect
175. #64088	C₂²	semidirect
176. #64088	C₂²	semidirect
177. #64088	C₂²	semidirect
178. #64087	C₂²	semidirect
179. #64087	C₂²	semidirect
180. #64087	C₂²	semidirect
181. #64086	C₂²	semidirect
182. #64086	C₂²	semidirect
183. #64086	C₂²	semidirect
184. #64085	C₂²	semidirect
185. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
186. #64081	C₂²	semidirect
187. #64081	C₂²	semidirect
188. C₃×#546	D₃	semidirect
232. C₂×C₃²×Q₈	C₂³	semidirect
241. C₂×C₃²×D₄	C₂³	semidirect
242. C₂×C₃²×D₄	C₂³	semidirect
246. C₂²×C₃²×C₄	C₂³	semidirect
247. C₂²×C₃²×C₄	C₂³	semidirect
248. C₂²×C₃²×C₄	C₂³	semidirect
265. C₂×#638	C₂³	semidirect
266. C₂×#638	C₂³	semidirect
271. C₂²×C₃⋊Dic₃	C₂³	semidirect
272. C₂²×C₃⋊Dic₃	C₂³	semidirect
273. C₂²×C₃⋊Dic₃	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
312. C₃²×C₂²⋊C₄	C₂³	semidirect
313. C₃²×C₂²⋊C₄	C₂³	semidirect
314. C₃²×C₂²⋊C₄	C₂³	semidirect
315. C₃²×C₂²⋊C₄	C₂³	semidirect
316. C₃²×C₂²⋊C₄	C₂³	semidirect
317. C₃²×C₄²	C₂³	semidirect
329. #3757	C₂³	semidirect
330. #3757	C₂³	semidirect
331. #3757	C₂³	semidirect
332. #3757	C₂³	semidirect
333. #3757	C₂³	semidirect
334. #3757	C₂³	semidirect
335. #3757	C₂³	semidirect
358. #3752	C₂³	semidirect
359. #3752	C₂³	semidirect
360. #3752	C₂³	semidirect
361. #3752	C₂³	semidirect
362. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
363. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
364. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
365. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
366. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
367. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
368. #3750	C₂³	semidirect
369. #3750	C₂³	semidirect
370. #3750	C₂³	semidirect
371. #3750	C₂³	semidirect
372. #3750	C₂³	semidirect
373. #3750	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. C₄×C₃⋊Dic₃	C₂³	semidirect
383. C₄×C₃⋊Dic₃	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
391. C₂×C₃×#41	C₂×D₃	semidirect
392. C₂²×C₃×D₄	C₂×D₃	semidirect
403. C₃×#124	C₂×D₃	semidirect
404. C₃×#123	C₂×D₃	semidirect
405. C₃×#123	C₂×D₃	semidirect
406. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
407. C₃×#121	C₂×D₃	semidirect
408. C₃×#121	C₂×D₃	semidirect
409. C₃×#121	C₂×D₃	semidirect
411. C₃×#120	C₂×D₃	semidirect
412. C₃×C₄×D₄	C₂×D₃	semidirect
413. C₃×C₄×D₄	C₂×D₃	semidirect
414. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
415. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
578. C₂²×C₃⋊D₃	#41	semidirect
677. #546	C₃⋊D₃	semidirect
706. C₂×C₃×Q₈	C₂²×D₃	semidirect
715. C₂×C₃×D₄	C₂²×D₃	semidirect
716. C₂×C₃×D₄	C₂²×D₃	semidirect
720. C₂²×C₃×C₄	C₂²×D₃	semidirect
721. C₂²×C₃×C₄	C₂²×D₃	semidirect
722. 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
786. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
787. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
788. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
789. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
790. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
791. C₃×C₄²	C₂²×D₃	semidirect
930. C₂×#41	C₂×C₃⋊D₃	semidirect
936. C₂²×D₄	C₂×C₃⋊D₃	semidirect
954. #124	C₂×C₃⋊D₃	semidirect
973. #123	C₂×C₃⋊D₃	semidirect
974. #123	C₂×C₃⋊D₃	semidirect
990. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
1004. #121	C₂×C₃⋊D₃	semidirect
1005. #121	C₂×C₃⋊D₃	semidirect
1006. #121	C₂×C₃⋊D₃	semidirect
1026. #120	C₂×C₃⋊D₃	semidirect
1049. C₄×D₄	C₂×C₃⋊D₃	semidirect
1050. C₄×D₄	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
1264. C₂×D₄	C₂²×C₃⋊D₃	semidirect
1265. C₂×D₄	C₂²×C₃⋊D₃	semidirect
1291. C₂²×C₄	C₂²×C₃⋊D₃	semidirect
1292. C₂²×C₄	C₂²×C₃⋊D₃	semidirect
1293. C₂²×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
1369. C₂²⋊C₄	C₂²×C₃⋊D₃	semidirect
1370. C₂²⋊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
1381. C₄²	C₂²×C₃⋊D₃	semidirect
1445. C₃²	#3490	semidirect
1640. C₃	#86664	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#546	2
#10596300	2
#10596299	2
#10596277	2
C₂×#64146	2
#10596150	2
#10596149	2
#10596130	2
#10596129	2
#10596128	2
#10596127	2
#10596108	2
#10596105	2
#10596084	2
#10596083	2
#10596081	2
#10596077	2
#10596062	2
#10596060	2
C₃⋊D₃×#120	2
#10596058	2
#10596027	2
#10596018	2
#10596016	2
#10595966	2
#10595961	2
#10595957	2
C₂×C₂²⋊C₄×C₃⋊D₃	2
#86664	3