Subgroups — #11910490

Order 1152.

4008 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	#10596182	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	#10596154	C₂	1	1	yes	maximal, characteristic, complemented
7	#10596149	C₂	1	1	yes	maximal, characteristic, complemented
8	#10596147	C₂	1	1	yes	maximal, characteristic, complemented
9	#10596145	C₂	1	1	yes	maximal, characteristic, complemented
10	#10596137	C₂	1	1	yes	maximal, characteristic, complemented
11	#10596128	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	#10596101	C₂	1	1	yes	maximal, characteristic, complemented
16	#10596091	C₂	1	1	yes	maximal, characteristic, complemented
17	#10596081	C₂	1	1	yes	maximal, characteristic, complemented
18	#10596080	C₂	1	1	yes	maximal, characteristic, complemented
19	#10596080	C₂	1	1	yes	maximal, characteristic, complemented
20	#10596078	C₂	1	1	yes	maximal, characteristic, complemented
21	#10596076	C₂	1	1	yes	maximal, characteristic, complemented
22	#10596063	C₂	1	1	yes	maximal, characteristic, complemented
23	#10596060	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃⋊D₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃⋊D₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
26	#10596027	C₂	1	1	yes	maximal, characteristic, complemented
27	#10596025	C₂	1	1	yes	maximal, characteristic, complemented
28	#10596021	C₂	1	1	yes	maximal, characteristic, complemented
29	D₄×C₄⋊(C₃⋊D₃)	C₂	1	1	yes	maximal, characteristic, complemented
30	#10595965	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#64091	C₂	1	1	yes	maximal, characteristic, complemented
32	#86418	—	3	4	no	maximal
33	C₂⁴×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
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, complemented
38	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×#3828	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
47	C₂²×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
49	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
50	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
51	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
52	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
53	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
54	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
55	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
56	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
57	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
58	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
59	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
60	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
61	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
62	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
64	#64162	C₂²	1	1	yes	characteristic, complemented
65	#64162	C₂²	1	1	yes	characteristic, complemented
66	#64156	C₂²	1	1	yes	characteristic, complemented
67	#64156	C₂²	1	1	yes	characteristic, complemented
68	#64155	C₂²	1	1	yes	characteristic, complemented
69	#64149	C₂²	1	1	yes	characteristic, complemented
70	#64149	C₂²	1	1	yes	characteristic, complemented
71	#64149	C₂²	1	1	yes	characteristic, complemented
72	#64148	C₂²	1	1	yes	characteristic, complemented
73	#64148	C₂²	1	1	yes	characteristic, complemented
74	#64148	C₂²	1	1	yes	characteristic, complemented
75	#64147	C₂²	1	1	yes	characteristic, complemented
76	#64147	C₂²	1	1	yes	characteristic, complemented
77	#64146	C₂²	1	1	yes	characteristic
78	#64146	C₂²	1	1	yes	characteristic, complemented
79	#64146	C₂²	1	1	yes	characteristic, complemented
80	#64146	C₂²	1	1	yes	characteristic, complemented
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	#64144	C₂²	1	1	yes	characteristic, complemented
88	#64139	C₂²	1	1	yes	characteristic, complemented
89	#64139	C₂²	1	1	yes	characteristic, complemented
90	#64139	C₂²	1	1	yes	characteristic, complemented
91	#64139	C₂²	1	1	yes	characteristic, complemented
92	#64138	C₂²	1	1	yes	characteristic, complemented
93	C₄×#638	C₂²	1	1	yes	characteristic, complemented
94	C₄×#638	C₂²	1	1	yes	characteristic, complemented
95	C₄×#638	C₂²	1	1	yes	characteristic, complemented
96	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
97	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
98	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
99	#64133	C₂²	1	1	yes	characteristic, complemented
100	#64107	C₂²	1	1	yes	characteristic, complemented
101	#64107	C₂²	1	1	yes	characteristic, complemented
102	#64107	C₂²	1	1	yes	characteristic, complemented
103	#64106	C₂²	1	1	yes	characteristic, complemented
104	#64105	C₂²	1	1	yes	characteristic, complemented
105	#64105	C₂²	1	1	yes	characteristic, complemented
106	#64104	C₂²	1	1	yes	characteristic, complemented
107	#64104	C₂²	1	1	yes	characteristic, complemented
108	#64104	C₂²	1	1	yes	characteristic, complemented
109	#64104	C₂²	1	1	yes	characteristic, complemented
110	#64104	C₂²	1	1	yes	characteristic, complemented
111	#64104	C₂²	1	1	yes	characteristic, complemented
112	#64104	C₂²	1	1	yes	characteristic, complemented
113	#64103	C₂²	1	1	yes	characteristic, complemented
114	#64103	C₂²	1	1	yes	characteristic, complemented
115	#64103	C₂²	1	1	yes	characteristic, complemented
116	#64103	C₂²	1	1	yes	characteristic, complemented
117	#64103	C₂²	1	1	yes	characteristic, complemented
118	#64103	C₂²	1	1	yes	characteristic, complemented
119	#64103	C₂²	1	1	yes	characteristic, complemented
120	#64102	C₂²	1	1	yes	characteristic, complemented
121	#64102	C₂²	1	1	yes	characteristic, complemented
122	#64102	C₂²	1	1	yes	characteristic, complemented
123	#64101	C₂²	1	1	yes	characteristic, complemented
124	#64095	C₂²	1	1	yes	characteristic, complemented
125	#64095	C₂²	1	1	yes	characteristic, complemented
126	#64094	C₂²	1	1	yes	characteristic, complemented
127	#64094	C₂²	1	1	yes	characteristic, complemented
128	#64094	C₂²	1	1	yes	characteristic, complemented
129	#64094	C₂²	1	1	yes	characteristic, complemented
130	#64094	C₂²	1	1	yes	characteristic, complemented
131	#64094	C₂²	1	1	yes	characteristic, complemented
132	#64093	C₂²	1	1	yes	characteristic, complemented
133	#64093	C₂²	1	1	yes	characteristic, complemented
134	#64093	C₂²	1	1	yes	characteristic, complemented
135	#64093	C₂²	1	1	yes	characteristic, complemented
136	#64093	C₂²	1	1	yes	characteristic, complemented
137	#64093	C₂²	1	1	yes	characteristic, complemented
138	#64093	C₂²	1	1	yes	characteristic, complemented
139	#64093	C₂²	1	1	yes	characteristic, complemented
140	#64093	C₂²	1	1	yes	characteristic, complemented
141	#64093	C₂²	1	1	yes	characteristic, complemented
142	#64093	C₂²	1	1	yes	characteristic, complemented
143	#64092	C₂²	1	1	yes	characteristic, complemented
144	#64092	C₂²	1	1	yes	characteristic, complemented
145	#64092	C₂²	1	1	yes	characteristic, complemented
146	#64092	C₂²	1	1	yes	characteristic, complemented
147	#64092	C₂²	1	1	yes	characteristic, complemented
148	#64091	C₂²	1	1	yes	characteristic
149	#64091	C₂²	1	1	yes	characteristic
150	#64091	C₂²	1	1	yes	characteristic, complemented
151	#64091	C₂²	1	1	yes	characteristic, complemented
152	#64091	C₂²	1	1	yes	characteristic, complemented
153	#64091	C₂²	1	1	yes	characteristic, complemented
154	#64091	C₂²	1	1	yes	characteristic, complemented
155	#64091	C₂²	1	1	yes	characteristic, complemented
156	#64091	C₂²	1	1	yes	characteristic, complemented
157	#64091	C₂²	1	1	yes	characteristic, complemented
158	#64091	C₂²	1	1	yes	characteristic, complemented
159	#64091	C₂²	1	1	yes	characteristic, complemented
160	#64091	C₂²	1	1	yes	characteristic, complemented
161	#64091	C₂²	1	1	yes	characteristic, complemented
162	#64091	C₂²	1	1	yes	characteristic, complemented
163	#64091	C₂²	1	1	yes	characteristic, complemented
164	#64091	C₂²	1	1	yes	characteristic, complemented
165	#64091	C₂²	1	1	yes	characteristic, complemented
166	#64091	C₂²	1	1	yes	characteristic, complemented
167	#64091	C₂²	1	1	yes	characteristic, complemented
168	#64090	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	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
175	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
176	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
177	#64088	C₂²	1	1	yes	characteristic, complemented
178	#64088	C₂²	1	1	yes	characteristic, complemented
179	#64086	C₂²	1	1	yes	characteristic, complemented
180	#64085	C₂²	1	1	yes	characteristic, complemented
181	#64084	C₂²	1	1	yes	characteristic, complemented
182	#64084	C₂²	1	1	yes	characteristic, complemented
183	#64083	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
187	#64081	C₂²	1	1	yes	characteristic, complemented
188	C₃×#538	D₃	1	4	yes	complemented
189	#5711	—	3	4	no	—
190	#5705	—	3	4	no	—
191	#5704	—	3	4	no	—
192	#5704	—	3	4	no	—
193	#5683	—	3	4	no	—
194	#5678	—	3	4	no	—
195	#5676	—	3	4	no	—
196	#5674	—	3	4	no	—
197	#5666	—	3	4	no	—
198	#5657	—	3	4	no	—
199	#5654	—	3	4	no	—
200	#5653	—	3	4	no	—
201	#5637	—	3	4	no	—
202	#5630	—	3	4	no	—
203	#5620	—	3	4	no	—
204	#5610	—	3	4	no	—
205	#5609	—	3	4	no	—
206	#5609	—	3	4	no	—
207	#5607	—	3	4	no	—
208	#5605	—	3	4	no	—
209	#5592	—	3	4	no	—
210	#5589	—	3	4	no	—
211	D₃×#120	—	3	4	no	—
212	D₃×#120	—	3	4	no	—
213	#5556	—	3	4	no	—
214	#5554	—	3	4	no	—
215	#5550	—	3	4	no	—
216	D₄×D₁₂	—	3	4	no	—
217	#5494	—	3	4	no	—
218	C₂×#882	—	3	4	no	—
219	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
220	C₂³×C₃⋊D₃	—	4	2	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	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
232	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
233	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic, complemented
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, complemented
241	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
242	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
243	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
244	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic, complemented
245	C₂×#638	—	4	2	no	—
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
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, complemented
263	C₂×#638	C₂³	1	1	yes	characteristic, complemented
264	C₂×#638	C₂³	1	1	yes	characteristic, complemented
265	C₂×#638	C₂³	1	1	yes	characteristic, complemented
266	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
267	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
268	#3832	—	4	2	no	—
269	#3830	—	4	2	no	—
270	D₄×C₃⋊D₃	—	4	2	no	—
271	D₄×C₃⋊D₃	—	4	2	no	—
272	D₄×C₃⋊D₃	—	4	2	no	—
273	D₄×C₃⋊D₃	—	4	2	no	—
274	D₄×C₃⋊D₃	—	4	2	no	—
275	D₄×C₃⋊D₃	—	4	2	no	—
276	D₄×C₃⋊D₃	—	4	2	no	—
277	D₄×C₃⋊D₃	—	4	2	no	—
278	#3828	—	4	2	no	—
279	C₂×C₄⋊(C₃⋊D₃)	—	4	2	no	—
280	C₂×C₄⋊(C₃⋊D₃)	—	4	2	no	—
281	C₂×C₄⋊(C₃⋊D₃)	—	4	2	no	—
282	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic, complemented
297	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic, complemented
298	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic, complemented
299	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic, complemented
300	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
307	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
308	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
309	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
310	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
311	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic, complemented
312	C₂×#634	C₂³	1	1	yes	characteristic, complemented
313	C₂×#634	C₂³	1	1	yes	characteristic, complemented
314	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
315	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
316	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
317	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
318	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
319	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
320	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
331	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
332	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
333	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
334	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
335	C₃²×C₄²	C₂³	1	1	yes	characteristic, complemented
336	#3757	C₂³	1	1	yes	characteristic
337	#3757	C₂³	1	1	yes	characteristic
338	#3757	C₂³	1	1	yes	characteristic
339	#3757	C₂³	1	1	yes	characteristic
340	#3757	C₂³	1	1	yes	characteristic
341	#3757	C₂³	1	1	yes	characteristic
342	#3757	C₂³	1	1	yes	characteristic, complemented
343	#3757	C₂³	1	1	yes	characteristic, complemented
344	#3752	C₂³	1	1	yes	characteristic
345	#3752	C₂³	1	1	yes	characteristic
346	#3752	C₂³	1	1	yes	characteristic
347	#3752	C₂³	1	1	yes	characteristic
348	#3752	C₂³	1	1	yes	characteristic
349	#3752	C₂³	1	1	yes	characteristic
350	#3752	C₂³	1	1	yes	characteristic
351	#3752	C₂³	1	1	yes	characteristic
352	#3752	C₂³	1	1	yes	characteristic
353	#3752	C₂³	1	1	yes	characteristic
354	#3752	C₂³	1	1	yes	characteristic
355	#3752	C₂³	1	1	yes	characteristic
356	#3752	C₂³	1	1	yes	characteristic
357	#3752	C₂³	1	1	yes	characteristic
358	#3752	C₂³	1	1	yes	characteristic
359	#3752	C₂³	1	1	yes	characteristic
360	#3752	C₂³	1	1	yes	characteristic
361	#3752	C₂³	1	1	yes	characteristic
362	#3752	C₂³	1	1	yes	characteristic
363	#3752	C₂³	1	1	yes	characteristic
364	#3752	C₂³	1	1	yes	characteristic, 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	#3752	C₂³	1	1	yes	characteristic, complemented
369	#3752	C₂³	1	1	yes	characteristic, complemented
370	#3752	C₂³	1	1	yes	characteristic, complemented
371	#3752	C₂³	1	1	yes	characteristic, complemented
372	#3752	C₂³	1	1	yes	characteristic, complemented
373	#3752	C₂³	1	1	yes	characteristic, complemented
374	#3752	C₂³	1	1	yes	characteristic, complemented
375	#3752	C₂³	1	1	yes	characteristic, complemented
376	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
377	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
378	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic, complemented
379	C₄⋊(C₃⋊Dic₃)	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	#3750	C₂³	1	1	yes	characteristic, complemented
385	#3750	C₂³	1	1	yes	characteristic, complemented
386	#3750	C₂³	1	1	yes	characteristic, complemented
387	#3750	C₂³	1	1	yes	characteristic, complemented
388	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
389	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
390	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
391	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
392	#3532	—	9	1	no	Sylow
393	C₂⁴×D₃	—	3	4	no	—
394	C₂²×#67	—	3	4	no	—
395	C₂×#239	—	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×D₃×D₄	—	3	4	no	—
401	C₂×D₃×D₄	—	3	4	no	—
402	C₂×D₃×D₄	—	3	4	no	—
403	C₂×D₃×D₄	—	3	4	no	—
404	C₂×D₃×D₄	—	3	4	no	—
405	C₂×#235	—	3	4	no	—
406	C₂²×D₁₂	—	3	4	no	—
407	C₂²×D₁₂	—	3	4	no	—
408	C₂²×D₁₂	—	3	4	no	—
409	C₃×#126	C₂×D₃	1	4	yes	complemented
410	C₃×#126	C₂×D₃	1	4	yes	complemented
411	C₃×#124	C₂×D₃	1	4	yes	complemented
412	C₃×#124	C₂×D₃	1	4	yes	complemented
413	C₃×#123	C₂×D₃	1	4	yes	complemented
414	C₃×#123	C₂×D₃	1	4	yes	complemented
415	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
416	C₃×#121	C₂×D₃	1	4	yes	complemented
417	C₃×#121	C₂×D₃	1	4	yes	complemented
418	C₃×#121	C₂×D₃	1	4	yes	complemented
419	C₃×#120	C₂×D₃	1	4	yes	complemented
420	C₃×#120	C₂×D₃	1	4	yes	complemented
421	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
422	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
423	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	4	yes	complemented
424	#953	—	3	4	no	—
425	#953	—	3	4	no	—
426	#947	—	3	4	no	—
427	#947	—	3	4	no	—
428	#946	—	3	4	no	—
429	#940	—	3	4	no	—
430	#940	—	3	4	no	—
431	#940	—	3	4	no	—
432	#939	—	3	4	no	—
433	#939	—	3	4	no	—
434	#939	—	3	4	no	—
435	#938	—	3	4	no	—
436	#938	—	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	#937	—	3	4	no	—
447	#935	—	3	4	no	—
448	#930	—	3	4	no	—
449	#930	—	3	4	no	—
450	#930	—	3	4	no	—
451	#930	—	3	4	no	—
452	#929	—	3	4	no	—
453	C₄×#67	—	3	4	no	—
454	C₄×#67	—	3	4	no	—
455	C₄×#67	—	3	4	no	—
456	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
457	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
458	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
459	#924	—	3	4	no	—
460	#898	—	3	4	no	—
461	#898	—	3	4	no	—
462	#898	—	3	4	no	—
463	#897	—	3	4	no	—
464	#896	—	3	4	no	—
465	#896	—	3	4	no	—
466	#895	—	3	4	no	—
467	#895	—	3	4	no	—
468	#895	—	3	4	no	—
469	#895	—	3	4	no	—
470	#895	—	3	4	no	—
471	#895	—	3	4	no	—
472	#895	—	3	4	no	—
473	#894	—	3	4	no	—
474	#894	—	3	4	no	—
475	#894	—	3	4	no	—
476	#894	—	3	4	no	—
477	#894	—	3	4	no	—
478	#894	—	3	4	no	—
479	#894	—	3	4	no	—
480	#893	—	3	4	no	—
481	#893	—	3	4	no	—
482	#893	—	3	4	no	—
483	#892	—	3	4	no	—
484	#886	—	3	4	no	—
485	#886	—	3	4	no	—
486	#885	—	3	4	no	—
487	#885	—	3	4	no	—
488	#885	—	3	4	no	—
489	#885	—	3	4	no	—
490	#885	—	3	4	no	—
491	#885	—	3	4	no	—
492	#884	—	3	4	no	—
493	#884	—	3	4	no	—
494	#884	—	3	4	no	—
495	#884	—	3	4	no	—
496	#884	—	3	4	no	—
497	#884	—	3	4	no	—
498	#884	—	3	4	no	—
499	#884	—	3	4	no	—
500	#884	—	3	4	no	—
501	#884	—	3	4	no	—
502	#884	—	3	4	no	—
503	#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	#882	—	3	4	no	—
509	#882	—	3	4	no	—
510	#882	—	3	4	no	—
511	#882	—	3	4	no	—
512	#882	—	3	4	no	—
513	#882	—	3	4	no	—
514	#882	—	3	4	no	—
515	#882	—	3	4	no	—
516	#882	—	3	4	no	—
517	#882	—	3	4	no	—
518	#882	—	3	4	no	—
519	#882	—	3	4	no	—
520	#882	—	3	4	no	—
521	#882	—	3	4	no	—
522	#882	—	3	4	no	—
523	#882	—	3	4	no	—
524	#882	—	3	4	no	—
525	#882	—	3	4	no	—
526	#882	—	3	4	no	—
527	#882	—	3	4	no	—
528	#67⋊C₄	—	3	4	no	—
529	D₃×C₂²⋊C₄	—	3	4	no	—
530	D₃×C₂²⋊C₄	—	3	4	no	—
531	D₃×C₂²⋊C₄	—	3	4	no	—
532	D₃×C₂²⋊C₄	—	3	4	no	—
533	D₃×C₂²⋊C₄	—	3	4	no	—
534	D₃×C₂²⋊C₄	—	3	4	no	—
535	D₃×C₂²⋊C₄	—	3	4	no	—
536	D₃×C₂²⋊C₄	—	3	4	no	—
537	#879	—	3	4	no	—
538	#879	—	3	4	no	—
539	#877	—	3	4	no	—
540	#876	—	3	4	no	—
541	#875	—	3	4	no	—
542	#875	—	3	4	no	—
543	#874	—	3	4	no	—
544	C₄×D₁₂	—	3	4	no	—
545	C₄×D₁₂	—	3	4	no	—
546	C₄×D₁₂	—	3	4	no	—
547	#872	—	3	4	no	—
548	C₂³×C₃²	—	2	2	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	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	—	2	2	no	—
565	C₂²×C₃⋊D₃	—	2	2	no	—
566	C₂²×C₃⋊D₃	—	2	2	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	1	no	—
576	C₂²×C₃⋊D₃	—	4	1	no	—
577	C₂²×C₃⋊D₃	—	4	1	no	—
578	C₂²×C₃⋊D₃	—	4	1	no	—
579	C₂²×C₃⋊D₃	—	4	1	no	—
580	C₂²×C₃⋊D₃	—	4	1	no	—
581	C₂²×C₃⋊D₃	—	4	1	no	—
582	C₂²×C₃⋊D₃	—	4	1	no	—
583	C₂²×C₃⋊D₃	—	4	1	no	—
584	C₂²×C₃⋊D₃	—	4	1	no	—
585	C₂²×C₃⋊D₃	—	4	1	no	—
586	C₂²×C₃⋊D₃	—	4	16	no	—
587	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
588	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
589	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
590	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
591	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
592	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
593	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
594	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
595	C₃²×Q₈	—	4	1	no	—
596	C₃²×D₄	—	2	2	no	—
597	C₃²×D₄	—	2	2	no	—
598	C₃²×D₄	—	4	1	no	—
599	C₃²×D₄	—	4	1	no	—
600	C₃²×D₄	—	4	1	no	—
601	C₃²×D₄	—	4	1	no	—
602	C₃²×D₄	—	4	1	no	—
603	C₂×C₃²×C₄	—	4	1	no	—
604	C₂×C₃²×C₄	—	4	1	no	—
605	C₂×C₃²×C₄	—	4	1	no	—
606	C₂×C₃²×C₄	—	4	1	no	—
607	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
608	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
609	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
610	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
611	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
612	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
613	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
614	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
615	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
616	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
617	#638	—	2	2	no	—
618	#638	—	2	2	no	—
619	#638	—	2	2	no	—
620	#638	—	2	2	no	—
621	#638	—	4	1	no	—
622	#638	—	4	1	no	—
623	#638	—	4	1	no	—
624	#638	—	4	1	no	—
625	#638	—	4	1	no	—
626	#638	—	4	1	no	—
627	#638	—	4	1	no	—
628	#638	—	4	1	no	—
629	#638	—	4	1	no	—
630	#638	—	4	1	no	—
631	#638	—	4	1	no	—
632	#638	—	4	1	no	—
633	#638	—	4	1	no	—
634	#638	—	4	1	no	—
635	#638	—	4	1	no	—
636	#638	—	4	1	no	—
637	C₂×C₃⋊Dic₃	—	2	2	no	—
638	C₂×C₃⋊Dic₃	—	4	1	no	—
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	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
644	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
645	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
646	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
647	C₄⋊(C₃⋊D₃)	—	2	2	no	—
648	C₄⋊(C₃⋊D₃)	—	2	2	no	—
649	C₄⋊(C₃⋊D₃)	—	2	2	no	—
650	C₄⋊(C₃⋊D₃)	—	2	2	no	—
651	C₄⋊(C₃⋊D₃)	—	2	2	no	—
652	C₄⋊(C₃⋊D₃)	—	2	2	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	C₄⋊(C₃⋊D₃)	—	4	1	no	—
660	C₄⋊(C₃⋊D₃)	—	4	1	no	—
661	C₄⋊(C₃⋊D₃)	—	4	1	no	—
662	C₄⋊(C₃⋊D₃)	—	4	1	no	—
663	C₄⋊(C₃⋊D₃)	—	4	1	no	—
664	C₄⋊(C₃⋊D₃)	—	4	1	no	—
665	C₄×C₃⋊D₃	—	2	2	no	—
666	C₄×C₃⋊D₃	—	2	2	no	—
667	C₄×C₃⋊D₃	—	4	1	no	—
668	C₄×C₃⋊D₃	—	4	1	no	—
669	C₄×C₃⋊D₃	—	4	1	no	—
670	C₄×C₃⋊D₃	—	4	1	no	—
671	C₄×C₃⋊D₃	—	4	1	no	—
672	C₄×C₃⋊D₃	—	4	1	no	—
673	C₄×C₃⋊D₃	—	4	1	no	—
674	C₄×C₃⋊D₃	—	4	1	no	—
675	C₄×C₃⋊D₃	—	4	1	no	—
676	C₄×C₃⋊D₃	—	4	1	no	—
677	#634	—	4	1	no	—
678	#634	—	4	1	no	—
679	H(3,𝔽₄)	—	9	1	no	—
680	#560	—	9	1	no	—
681	#560	—	9	1	no	—
682	#560	—	9	1	no	—
683	#551	—	9	1	no	—
684	#551	—	9	1	no	—
685	#551	—	9	1	no	—
686	#546	—	9	1	no	—
687	#546	—	9	1	no	—
688	#546	—	9	1	no	—
689	#546	—	9	1	no	—
690	#546	—	9	1	no	—
691	#546	—	9	1	no	—
692	D₄²	—	9	1	no	—
693	D₄²	—	9	1	no	—
694	D₄²	—	9	1	no	—
695	#538	—	9	1	no	—
696	#538	—	9	1	no	—
697	#538	—	9	1	no	—
698	#538	—	9	1	no	—
699	#538	—	9	1	no	—
700	#538	C₃⋊D₃	1	1	yes	characteristic, complemented
701	#535	—	9	1	no	—
702	#535	—	9	1	no	—
703	#535	—	9	1	no	—
704	#534	—	9	1	no	—
705	#534	—	9	1	no	—
706	#534	—	9	1	no	—
707	C₂×#120	—	9	1	no	—
708	C₂×#120	—	9	1	no	—
709	C₂×#120	—	9	1	no	—
710	C₂⁴×C₃	C₂²×D₃	1	4	yes	—
711	C₂³×D₃	—	3	4	no	—
712	C₂³×D₃	—	3	4	no	—
713	C₂³×D₃	—	3	4	no	—
714	C₂³×D₃	—	3	4	no	—
715	C₂³×D₃	—	3	4	no	—
716	C₂³×D₃	—	3	4	no	—
717	C₂³×D₃	—	3	4	no	—
718	C₂³×D₃	—	3	4	no	—
719	C₂³×D₃	—	3	4	no	—
720	C₂³×D₃	—	3	4	no	—
721	C₂³×D₃	—	12	8	no	—
722	C₂³×D₃	—	12	8	no	—
723	C₂³×D₃	—	12	8	no	—
724	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	complemented
725	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
726	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
727	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
728	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
729	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
730	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
731	C₂×C₃×D₄	C₂²×D₃	1	4	yes	complemented
732	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
733	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
734	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	complemented
735	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	complemented
736	C₂×#67	—	3	4	no	—
737	C₂×#67	—	3	4	no	—
738	C₂×#67	—	3	4	no	—
739	C₂×#67	—	3	4	no	—
740	C₂×#67	—	3	4	no	—
741	C₂×#67	—	3	4	no	—
742	C₂×#67	—	3	4	no	—
743	C₂×#67	—	3	4	no	—
744	C₂×#67	—	3	4	no	—
745	C₂×#67	—	3	4	no	—
746	C₂×#67	—	3	4	no	—
747	C₂×#67	—	3	4	no	—
748	C₂×#67	—	3	4	no	—
749	C₂×#67	—	3	4	no	—
750	C₂×#67	—	3	4	no	—
751	C₂×#67	—	3	4	no	—
752	C₂×#67	—	3	4	no	—
753	C₂×#67	—	3	4	no	—
754	C₂×#67	—	3	4	no	—
755	C₂×#67	—	3	4	no	—
756	C₂×#67	—	12	8	no	—
757	C₂²×Dic₃	—	3	4	no	—
758	C₂²×Dic₃	—	3	4	no	—
759	#239	—	12	8	no	—
760	#237	—	12	8	no	—
761	D₃×D₄	—	12	8	no	—
762	D₃×D₄	—	12	8	no	—
763	D₃×D₄	—	12	8	no	—
764	D₃×D₄	—	12	8	no	—
765	D₃×D₄	—	12	8	no	—
766	D₃×D₄	—	12	8	no	—
767	D₃×D₄	—	12	8	no	—
768	D₃×D₄	—	12	8	no	—
769	#235	—	12	8	no	—
770	C₂×D₁₂	—	3	4	no	—
771	C₂×D₁₂	—	3	4	no	—
772	C₂×D₁₂	—	3	4	no	—
773	C₂×D₁₂	—	3	4	no	—
774	C₂×D₁₂	—	3	4	no	—
775	C₂×D₁₂	—	3	4	no	—
776	C₂×D₁₂	—	3	4	no	—
777	C₂×D₁₂	—	3	4	no	—
778	C₂×D₁₂	—	3	4	no	—
779	C₂×D₁₂	—	3	4	no	—
780	C₂×D₁₂	—	3	4	no	—
781	C₂×D₁₂	—	3	4	no	—
782	C₂×D₁₂	—	3	4	no	—
783	C₂×D₁₂	—	3	4	no	—
784	C₂×D₁₂	—	3	4	no	—
785	C₂×D₁₂	—	3	4	no	—
786	C₂×D₁₂	—	3	4	no	—
787	C₂×D₁₂	—	3	4	no	—
788	C₂×D₁₂	—	12	8	no	—
789	C₂×D₁₂	—	12	8	no	—
790	C₂×D₁₂	—	12	8	no	—
791	C₂×C₄×D₃	—	3	4	no	—
792	C₂×C₄×D₃	—	3	4	no	—
793	C₂×C₄×D₃	—	3	4	no	—
794	C₂×C₄×D₃	—	3	4	no	—
795	C₂×C₄×D₃	—	3	4	no	—
796	C₂×C₄×D₃	—	3	4	no	—
797	C₂×C₄×D₃	—	3	4	no	—
798	C₂×C₄×D₃	—	3	4	no	—
799	C₂×C₄×D₃	—	3	4	no	—
800	C₂×C₄×D₃	—	3	4	no	—
801	C₂×C₄×D₃	—	3	4	no	—
802	C₂×C₄×D₃	—	3	4	no	—
803	C₂×Dic₆	—	3	4	no	—
804	C₂×Dic₆	—	3	4	no	—
805	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
806	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
807	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
808	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
809	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
810	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
811	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
812	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
813	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
814	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
815	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
816	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
817	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
818	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
819	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
820	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
821	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
822	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
823	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
824	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
825	C₃×C₄²	C₂²×D₃	1	4	yes	complemented
826	C₃×C₄²	C₂²×D₃	1	4	yes	complemented
827	#217	—	3	4	no	—
828	#217	—	3	4	no	—
829	#217	—	3	4	no	—
830	#217	—	3	4	no	—
831	#217	—	3	4	no	—
832	#217	—	3	4	no	—
833	#217	—	3	4	no	—
834	#217	—	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	(C₂×D₃)⋊C₄	—	3	4	no	—
843	(C₂×D₃)⋊C₄	—	3	4	no	—
844	(C₂×D₃)⋊C₄	—	3	4	no	—
845	(C₂×D₃)⋊C₄	—	3	4	no	—
846	(C₂×D₃)⋊C₄	—	3	4	no	—
847	(C₂×D₃)⋊C₄	—	3	4	no	—
848	(C₂×D₃)⋊C₄	—	3	4	no	—
849	(C₂×D₃)⋊C₄	—	3	4	no	—
850	(C₂×D₃)⋊C₄	—	3	4	no	—
851	(C₂×D₃)⋊C₄	—	3	4	no	—
852	(C₂×D₃)⋊C₄	—	3	4	no	—
853	(C₂×D₃)⋊C₄	—	3	4	no	—
854	(C₂×D₃)⋊C₄	—	3	4	no	—
855	(C₂×D₃)⋊C₄	—	3	4	no	—
856	(C₂×D₃)⋊C₄	—	3	4	no	—
857	(C₂×D₃)⋊C₄	—	3	4	no	—
858	(C₂×D₃)⋊C₄	—	3	4	no	—
859	(C₂×D₃)⋊C₄	—	3	4	no	—
860	(C₂×D₃)⋊C₄	—	3	4	no	—
861	(C₂×D₃)⋊C₄	—	3	4	no	—
862	(C₂×D₃)⋊C₄	—	3	4	no	—
863	(C₂×D₃)⋊C₄	—	3	4	no	—
864	(C₂×D₃)⋊C₄	—	3	4	no	—
865	(C₂×D₃)⋊C₄	—	3	4	no	—
866	(C₂×D₃)⋊C₄	—	3	4	no	—
867	C₄⋊Dic₃	—	3	4	no	—
868	C₄⋊Dic₃	—	3	4	no	—
869	C₄⋊Dic₃	—	3	4	no	—
870	C₄⋊Dic₃	—	3	4	no	—
871	Dic₃⋊C₄	—	3	4	no	—
872	Dic₃⋊C₄	—	3	4	no	—
873	Dic₃⋊C₄	—	3	4	no	—
874	Dic₃⋊C₄	—	3	4	no	—
875	Dic₃⋊C₄	—	3	4	no	—
876	Dic₃⋊C₄	—	3	4	no	—
877	Dic₃⋊C₄	—	3	4	no	—
878	Dic₃⋊C₄	—	3	4	no	—
879	C₄×Dic₃	—	3	4	no	—
880	C₄×Dic₃	—	3	4	no	—
881	C₄×Dic₃	—	3	4	no	—
882	C₄×Dic₃	—	3	4	no	—
883	C₂²×C₃²	—	2	1	no	—
884	C₂²×C₃²	—	2	1	no	—
885	C₂²×C₃²	—	2	1	no	—
886	C₂²×C₃²	—	2	1	no	—
887	C₂²×C₃²	—	2	1	no	—
888	C₂²×C₃²	—	2	1	no	—
889	C₂²×C₃²	—	2	1	no	—
890	C₂²×C₃²	—	2	1	no	—
891	C₂²×C₃²	—	2	1	no	—
892	C₂²×C₃²	—	2	1	no	—
893	C₂²×C₃²	—	2	1	no	—
894	C₂²×C₃²	—	2	1	no	—
895	C₂²×C₃²	—	2	1	no	—
896	C₂²×C₃²	—	2	1	no	—
897	C₂²×C₃²	—	4	4	no	—
898	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
899	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
900	C₂×C₃⋊D₃	—	2	1	no	—
901	C₂×C₃⋊D₃	—	2	1	no	—
902	C₂×C₃⋊D₃	—	2	1	no	—
903	C₂×C₃⋊D₃	—	2	1	no	—
904	C₂×C₃⋊D₃	—	2	1	no	—
905	C₂×C₃⋊D₃	—	2	1	no	—
906	C₂×C₃⋊D₃	—	2	1	no	—
907	C₂×C₃⋊D₃	—	2	1	no	—
908	C₂×C₃⋊D₃	—	2	1	no	—
909	C₂×C₃⋊D₃	—	2	1	no	—
910	C₂×C₃⋊D₃	—	2	1	no	—
911	C₂×C₃⋊D₃	—	2	1	no	—
912	C₂×C₃⋊D₃	—	2	1	no	—
913	C₂×C₃⋊D₃	—	2	1	no	—
914	C₂×C₃⋊D₃	—	2	1	no	—
915	C₂×C₃⋊D₃	—	2	1	no	—
916	C₂×C₃⋊D₃	—	2	1	no	—
917	C₂×C₃⋊D₃	—	2	1	no	—
918	C₂×C₃⋊D₃	—	2	1	no	—
919	C₂×C₃⋊D₃	—	2	1	no	—
920	C₂×C₃⋊D₃	—	2	1	no	—
921	C₂×C₃⋊D₃	—	2	1	no	—
922	C₂×C₃⋊D₃	—	4	4	no	—
923	C₂×C₃⋊D₃	—	4	4	no	—
924	C₂×C₃⋊D₃	—	4	4	no	—
925	C₂×C₃⋊D₃	—	4	4	no	—
926	C₂×C₃⋊D₃	—	4	4	no	—
927	C₂×C₃⋊D₃	—	4	4	no	—
928	C₂×C₃⋊D₃	—	8	2	no	—
929	C₂×C₃⋊D₃	—	8	2	no	—
930	C₂×C₃⋊D₃	—	8	2	no	—
931	C₂×C₃⋊D₃	—	8	2	no	—
932	C₂×C₃⋊D₃	H(5,𝔽₂)	1	2	yes	—
933	C₂×C₃⋊D₃	H(5,𝔽₂)	1	2	yes	—
934	C₃²×C₄	—	2	1	no	—
935	C₃²×C₄	—	2	1	no	—
936	C₃²×C₄	—	2	1	no	—
937	C₃²×C₄	—	2	1	no	—
938	C₃²×C₄	—	2	1	no	—
939	C₃²×C₄	—	2	1	no	—
940	C₃²×C₄	—	2	1	no	—
941	C₃²×C₄	—	2	1	no	—
942	C₃²×C₄	—	2	1	no	—
943	C₃²×C₄	—	2	1	no	—
944	C₃⋊Dic₃	—	2	1	no	—
945	C₃⋊Dic₃	—	2	1	no	—
946	C₃⋊Dic₃	—	2	1	no	—
947	C₃⋊Dic₃	—	2	1	no	—
948	C₃⋊Dic₃	—	2	1	no	—
949	C₃⋊Dic₃	—	2	1	no	—
950	C₃⋊Dic₃	—	2	1	no	—
951	C₃⋊Dic₃	—	2	1	no	—
952	C₂⁵	—	9	1	no	—
953	C₂×#41	—	9	1	no	—
954	C₂×#41	—	9	1	no	—
955	C₂×#41	—	9	1	no	—
956	C₂²×D₄	—	9	1	no	—
957	C₂²×D₄	—	9	1	no	—
958	C₂²×D₄	—	9	1	no	—
959	C₂²×D₄	—	9	1	no	—
960	C₂²×D₄	—	9	1	no	—
961	C₂²×D₄	—	9	1	no	—
962	C₂²×D₄	—	9	1	no	—
963	C₂²×D₄	—	9	1	no	—
964	C₂²×D₄	—	9	1	no	—
965	C₂²×D₄	—	9	1	no	—
966	C₂²×D₄	—	9	1	no	—
967	C₂²×D₄	—	9	1	no	—
968	#127	—	9	1	no	—
969	#127	—	9	1	no	—
970	#127	—	9	1	no	—
971	#127	—	9	1	no	—
972	#126	—	9	1	no	—
973	#126	—	9	1	no	—
974	#126	—	9	1	no	—
975	#126	—	9	1	no	—
976	#126	—	9	1	no	—
977	#126	—	9	1	no	—
978	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
979	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
980	#124	—	9	1	no	—
981	#124	—	9	1	no	—
982	#124	—	9	1	no	—
983	#124	—	9	1	no	—
984	#124	—	9	1	no	—
985	#124	—	9	1	no	—
986	#124	—	9	1	no	—
987	#124	—	9	1	no	—
988	#124	—	9	1	no	—
989	#124	—	9	1	no	—
990	#124	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
991	#124	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
992	#123	—	9	1	no	—
993	#123	—	9	1	no	—
994	#123	—	9	1	no	—
995	#123	—	9	1	no	—
996	#123	—	9	1	no	—
997	#123	—	9	1	no	—
998	#123	—	9	1	no	—
999	#123	—	9	1	no	—
1000	#123	—	9	1	no	—
1001	#123	—	9	1	no	—
1002	#123	—	9	1	no	—
1003	#123	—	9	1	no	—
1004	#123	—	9	1	no	—
1005	#123	—	9	1	no	—
1006	#123	—	9	1	no	—
1007	#123	—	9	1	no	—
1008	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1009	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1010	C₂²⋊Q₈	—	9	1	no	—
1011	C₂²⋊Q₈	—	9	1	no	—
1012	C₂²⋊Q₈	—	9	1	no	—
1013	C₂²⋊Q₈	—	9	1	no	—
1014	C₂²⋊Q₈	—	9	1	no	—
1015	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1016	#121	—	9	1	no	—
1017	#121	—	9	1	no	—
1018	#121	—	9	1	no	—
1019	#121	—	9	1	no	—
1020	#121	—	9	1	no	—
1021	#121	—	9	1	no	—
1022	#121	—	9	1	no	—
1023	#121	—	9	1	no	—
1024	#121	—	9	1	no	—
1025	#121	—	9	1	no	—
1026	#121	—	9	1	no	—
1027	#121	—	9	1	no	—
1028	#121	—	9	1	no	—
1029	#121	—	9	1	no	—
1030	#121	—	9	1	no	—
1031	#121	—	9	1	no	—
1032	#121	—	9	1	no	—
1033	#121	—	9	1	no	—
1034	#121	—	9	1	no	—
1035	#121	—	9	1	no	—
1036	#121	—	9	1	no	—
1037	#121	—	9	1	no	—
1038	#121	—	9	1	no	—
1039	#121	—	9	1	no	—
1040	#121	—	9	1	no	—
1041	#121	—	9	1	no	—
1042	#121	—	9	1	no	—
1043	#121	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1044	#121	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1045	#121	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1046	#120	—	9	1	no	—
1047	#120	—	9	1	no	—
1048	#120	—	9	1	no	—
1049	#120	—	9	1	no	—
1050	#120	—	9	1	no	—
1051	#120	—	9	1	no	—
1052	#120	—	9	1	no	—
1053	#120	—	9	1	no	—
1054	#120	—	9	1	no	—
1055	#120	—	9	1	no	—
1056	#120	—	9	1	no	—
1057	#120	—	9	1	no	—
1058	#120	—	9	1	no	—
1059	#120	—	9	1	no	—
1060	#120	—	9	1	no	—
1061	#120	—	9	1	no	—
1062	#120	—	9	1	no	—
1063	#120	—	9	1	no	—
1064	#120	—	9	1	no	—
1065	#120	—	9	1	no	—
1066	#120	—	9	1	no	—
1067	#120	—	9	1	no	—
1068	#120	—	9	1	no	—
1069	#120	—	9	1	no	—
1070	#120	—	9	1	no	—
1071	#120	—	9	1	no	—
1072	#120	—	9	1	no	—
1073	#120	—	9	1	no	—
1074	#120	—	9	1	no	—
1075	#120	—	9	1	no	—
1076	#120	—	9	1	no	—
1077	#120	—	9	1	no	—
1078	#120	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1079	#120	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1080	C₄×D₄	—	9	1	no	—
1081	C₄×D₄	—	9	1	no	—
1082	C₄×D₄	—	9	1	no	—
1083	C₄×D₄	—	9	1	no	—
1084	C₄×D₄	—	9	1	no	—
1085	C₄×D₄	—	9	1	no	—
1086	C₄×D₄	—	9	1	no	—
1087	C₄×D₄	—	9	1	no	—
1088	C₄×D₄	—	9	1	no	—
1089	C₄×D₄	—	9	1	no	—
1090	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1091	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1092	#117	—	9	1	no	—
1093	#117	—	9	1	no	—
1094	#117	—	9	1	no	—
1095	C₂×C₂²⋊C₄	—	9	1	no	—
1096	C₂×C₂²⋊C₄	—	9	1	no	—
1097	C₂×C₂²⋊C₄	—	9	1	no	—
1098	C₂×C₂²⋊C₄	—	9	1	no	—
1099	C₂×C₂²⋊C₄	—	9	1	no	—
1100	C₂×C₂²⋊C₄	—	9	1	no	—
1101	C₂×C₂²⋊C₄	—	9	1	no	—
1102	C₂×C₂²⋊C₄	—	9	1	no	—
1103	C₂×C₂²⋊C₄	—	9	1	no	—
1104	C₂×C₂²⋊C₄	—	9	1	no	—
1105	C₂×C₂²⋊C₄	—	9	1	no	—
1106	C₂×C₂²⋊C₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1107	C₂³×C₃	—	2	8	no	—
1108	C₂³×C₃	—	4	4	no	—
1109	C₂³×C₃	—	4	4	no	—
1110	C₂³×C₃	C₂³×D₃	1	4	yes	—
1111	C₂³×C₃	C₂³×D₃	1	4	yes	—
1112	C₂³×C₃	C₂³×D₃	1	4	yes	—
1113	C₂³×C₃	C₂³×D₃	1	4	yes	—
1114	C₂³×C₃	C₂³×D₃	1	4	yes	—
1115	C₂²×D₃	—	3	4	no	—
1116	C₂²×D₃	—	3	4	no	—
1117	C₂²×D₃	—	3	4	no	—
1118	C₂²×D₃	—	3	4	no	—
1119	C₂²×D₃	—	3	4	no	—
1120	C₂²×D₃	—	3	4	no	—
1121	C₂²×D₃	—	3	4	no	—
1122	C₂²×D₃	—	3	4	no	—
1123	C₂²×D₃	—	6	8	no	—
1124	C₂²×D₃	—	6	8	no	—
1125	C₂²×D₃	—	6	8	no	—
1126	C₂²×D₃	—	6	8	no	—
1127	C₂²×D₃	—	6	8	no	—
1128	C₂²×D₃	—	6	8	no	—
1129	C₂²×D₃	—	6	8	no	—
1130	C₂²×D₃	—	6	8	no	—
1131	C₂²×D₃	—	6	8	no	—
1132	C₂²×D₃	—	6	8	no	—
1133	C₂²×D₃	—	6	8	no	—
1134	C₂²×D₃	—	12	4	no	—
1135	C₂²×D₃	—	12	4	no	—
1136	C₂²×D₃	—	12	4	no	—
1137	C₂²×D₃	—	12	4	no	—
1138	C₂²×D₃	—	12	4	no	—
1139	C₂²×D₃	—	12	4	no	—
1140	C₂²×D₃	—	12	4	no	—
1141	C₂²×D₃	—	12	4	no	—
1142	C₂²×D₃	—	12	4	no	—
1143	C₂²×D₃	—	12	4	no	—
1144	C₂²×D₃	—	12	4	no	—
1145	C₂²×D₃	—	12	4	no	—
1146	C₂²×D₃	—	12	4	no	—
1147	C₂²×D₃	—	12	4	no	—
1148	C₂²×D₃	—	12	4	no	—
1149	C₂²×D₃	—	12	4	no	—
1150	C₂²×D₃	—	12	4	no	—
1151	C₂²×D₃	—	12	4	no	—
1152	C₂²×D₃	—	12	4	no	—
1153	C₂²×D₃	—	12	64	no	—
1154	C₃×Q₈	—	4	4	no	—
1155	C₃×D₄	—	2	8	no	—
1156	C₃×D₄	—	2	8	no	—
1157	C₃×D₄	—	4	4	no	—
1158	C₃×D₄	—	4	4	no	—
1159	C₃×D₄	—	4	4	no	—
1160	C₃×D₄	—	4	4	no	—
1161	C₃×D₄	—	4	4	no	—
1162	C₂×C₃×C₄	—	4	4	no	—
1163	C₂×C₃×C₄	—	4	4	no	—
1164	C₂×C₃×C₄	—	4	4	no	—
1165	C₂×C₃×C₄	—	4	4	no	—
1166	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1167	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1168	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1169	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1170	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1171	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1172	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1173	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1174	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1175	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1176	#67	—	6	8	no	—
1177	#67	—	6	8	no	—
1178	#67	—	6	8	no	—
1179	#67	—	6	8	no	—
1180	#67	—	12	4	no	—
1181	#67	—	12	4	no	—
1182	#67	—	12	4	no	—
1183	#67	—	12	4	no	—
1184	#67	—	12	4	no	—
1185	#67	—	12	4	no	—
1186	#67	—	12	4	no	—
1187	#67	—	12	4	no	—
1188	#67	—	12	4	no	—
1189	#67	—	12	4	no	—
1190	#67	—	12	4	no	—
1191	#67	—	12	4	no	—
1192	#67	—	12	4	no	—
1193	#67	—	12	4	no	—
1194	#67	—	12	4	no	—
1195	#67	—	12	4	no	—
1196	C₂×Dic₃	—	3	4	no	—
1197	C₂×Dic₃	—	3	4	no	—
1198	C₂×Dic₃	—	3	4	no	—
1199	C₂×Dic₃	—	3	4	no	—
1200	C₂×Dic₃	—	3	4	no	—
1201	C₂×Dic₃	—	3	4	no	—
1202	C₂×Dic₃	—	3	4	no	—
1203	C₂×Dic₃	—	3	4	no	—
1204	C₂×Dic₃	—	6	8	no	—
1205	C₂×Dic₃	—	12	4	no	—
1206	D₁₂	—	6	8	no	—
1207	D₁₂	—	6	8	no	—
1208	D₁₂	—	6	8	no	—
1209	D₁₂	—	6	8	no	—
1210	D₁₂	—	6	8	no	—
1211	D₁₂	—	6	8	no	—
1212	D₁₂	—	12	4	no	—
1213	D₁₂	—	12	4	no	—
1214	D₁₂	—	12	4	no	—
1215	D₁₂	—	12	4	no	—
1216	D₁₂	—	12	4	no	—
1217	D₁₂	—	12	4	no	—
1218	D₁₂	—	12	4	no	—
1219	D₁₂	—	12	4	no	—
1220	D₁₂	—	12	4	no	—
1221	D₁₂	—	12	4	no	—
1222	D₁₂	—	12	4	no	—
1223	D₁₂	—	12	4	no	—
1224	C₄×D₃	—	6	8	no	—
1225	C₄×D₃	—	6	8	no	—
1226	C₄×D₃	—	12	4	no	—
1227	C₄×D₃	—	12	4	no	—
1228	C₄×D₃	—	12	4	no	—
1229	C₄×D₃	—	12	4	no	—
1230	C₄×D₃	—	12	4	no	—
1231	C₄×D₃	—	12	4	no	—
1232	C₄×D₃	—	12	4	no	—
1233	C₄×D₃	—	12	4	no	—
1234	C₄×D₃	—	12	4	no	—
1235	C₄×D₃	—	12	4	no	—
1236	Dic₆	—	12	4	no	—
1237	Dic₆	—	12	4	no	—
1238	C₂×C₃²	—	2	2	no	—
1239	C₂×C₃²	—	4	1	no	—
1240	C₂×C₃²	—	4	1	no	—
1241	C₂×C₃²	—	4	1	no	—
1242	C₂×C₃²	—	4	1	no	—
1243	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1244	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1245	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1246	C₃⋊D₃	—	2	2	no	—
1247	C₃⋊D₃	—	2	2	no	—
1248	C₃⋊D₃	—	4	1	no	—
1249	C₃⋊D₃	—	4	1	no	—
1250	C₃⋊D₃	—	4	1	no	—
1251	C₃⋊D₃	—	4	1	no	—
1252	C₃⋊D₃	—	4	1	no	—
1253	C₃⋊D₃	—	4	1	no	—
1254	C₂⁴	—	9	1	no	—
1255	C₂⁴	—	9	1	no	—
1256	C₂⁴	—	9	1	no	—
1257	C₂⁴	—	9	1	no	—
1258	C₂⁴	—	9	1	no	—
1259	C₂⁴	—	9	1	no	—
1260	C₂⁴	—	9	1	no	—
1261	C₂⁴	—	9	1	no	—
1262	C₂⁴	—	9	1	no	—
1263	C₂⁴	—	9	1	no	—
1264	C₂⁴	—	36	2	no	—
1265	C₂⁴	—	36	2	no	—
1266	C₂⁴	—	36	2	no	—
1267	C₂⁴	C₂²×C₃⋊D₃	1	1	yes	characteristic
1268	#41	—	36	2	no	—
1269	#41	—	36	2	no	—
1270	#41	—	36	2	no	—
1271	C₂×Q₈	—	9	1	no	—
1272	C₂×Q₈	—	9	1	no	—
1273	C₂×Q₈	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1274	C₂×D₄	—	9	1	no	—
1275	C₂×D₄	—	9	1	no	—
1276	C₂×D₄	—	9	1	no	—
1277	C₂×D₄	—	9	1	no	—
1278	C₂×D₄	—	9	1	no	—
1279	C₂×D₄	—	9	1	no	—
1280	C₂×D₄	—	9	1	no	—
1281	C₂×D₄	—	9	1	no	—
1282	C₂×D₄	—	9	1	no	—
1283	C₂×D₄	—	9	1	no	—
1284	C₂×D₄	—	9	1	no	—
1285	C₂×D₄	—	9	1	no	—
1286	C₂×D₄	—	9	1	no	—
1287	C₂×D₄	—	9	1	no	—
1288	C₂×D₄	—	9	1	no	—
1289	C₂×D₄	—	9	1	no	—
1290	C₂×D₄	—	9	1	no	—
1291	C₂×D₄	—	9	1	no	—
1292	C₂×D₄	—	9	1	no	—
1293	C₂×D₄	—	9	1	no	—
1294	C₂×D₄	—	9	1	no	—
1295	C₂×D₄	—	9	1	no	—
1296	C₂×D₄	—	9	1	no	—
1297	C₂×D₄	—	9	1	no	—
1298	C₂×D₄	—	9	1	no	—
1299	C₂×D₄	—	9	1	no	—
1300	C₂×D₄	—	9	1	no	—
1301	C₂×D₄	—	9	1	no	—
1302	C₂×D₄	—	9	1	no	—
1303	C₂×D₄	—	9	1	no	—
1304	C₂×D₄	—	9	1	no	—
1305	C₂×D₄	—	9	1	no	—
1306	C₂×D₄	—	9	1	no	—
1307	C₂×D₄	—	9	1	no	—
1308	C₂×D₄	—	9	1	no	—
1309	C₂×D₄	—	9	1	no	—
1310	C₂×D₄	—	9	1	no	—
1311	C₂×D₄	—	9	1	no	—
1312	C₂×D₄	—	36	2	no	—
1313	C₂×D₄	—	36	2	no	—
1314	C₂×D₄	—	36	2	no	—
1315	C₂×D₄	—	36	2	no	—
1316	C₂×D₄	—	36	2	no	—
1317	C₂×D₄	—	36	2	no	—
1318	C₂×D₄	—	36	2	no	—
1319	C₂×D₄	—	36	2	no	—
1320	C₂×D₄	—	36	2	no	—
1321	C₂×D₄	—	36	2	no	—
1322	C₂×D₄	—	36	2	no	—
1323	C₂×D₄	—	36	2	no	—
1324	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1325	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1326	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1327	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1328	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1329	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1330	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
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	C₂²×C₃⋊D₃	1	1	yes	characteristic
1346	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1347	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1348	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1349	C₄⋊C₄	—	9	1	no	—
1350	C₄⋊C₄	—	9	1	no	—
1351	C₄⋊C₄	—	9	1	no	—
1352	C₄⋊C₄	—	9	1	no	—
1353	C₄⋊C₄	—	9	1	no	—
1354	C₄⋊C₄	—	9	1	no	—
1355	C₄⋊C₄	—	9	1	no	—
1356	C₄⋊C₄	—	9	1	no	—
1357	C₄⋊C₄	—	9	1	no	—
1358	C₄⋊C₄	—	9	1	no	—
1359	C₄⋊C₄	—	9	1	no	—
1360	C₄⋊C₄	—	9	1	no	—
1361	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1362	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1363	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1364	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1365	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1366	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1367	C₂²⋊C₄	—	9	1	no	—
1368	C₂²⋊C₄	—	9	1	no	—
1369	C₂²⋊C₄	—	9	1	no	—
1370	C₂²⋊C₄	—	9	1	no	—
1371	C₂²⋊C₄	—	9	1	no	—
1372	C₂²⋊C₄	—	9	1	no	—
1373	C₂²⋊C₄	—	9	1	no	—
1374	C₂²⋊C₄	—	9	1	no	—
1375	C₂²⋊C₄	—	9	1	no	—
1376	C₂²⋊C₄	—	9	1	no	—
1377	C₂²⋊C₄	—	9	1	no	—
1378	C₂²⋊C₄	—	9	1	no	—
1379	C₂²⋊C₄	—	9	1	no	—
1380	C₂²⋊C₄	—	9	1	no	—
1381	C₂²⋊C₄	—	9	1	no	—
1382	C₂²⋊C₄	—	9	1	no	—
1383	C₂²⋊C₄	—	9	1	no	—
1384	C₂²⋊C₄	—	9	1	no	—
1385	C₂²⋊C₄	—	9	1	no	—
1386	C₂²⋊C₄	—	9	1	no	—
1387	C₂²⋊C₄	—	9	1	no	—
1388	C₂²⋊C₄	—	9	1	no	—
1389	C₂²⋊C₄	—	9	1	no	—
1390	C₂²⋊C₄	—	9	1	no	—
1391	C₂²⋊C₄	—	9	1	no	—
1392	C₂²⋊C₄	—	9	1	no	—
1393	C₂²⋊C₄	—	9	1	no	—
1394	C₂²⋊C₄	—	9	1	no	—
1395	C₂²⋊C₄	—	9	1	no	—
1396	C₂²⋊C₄	—	9	1	no	—
1397	C₂²⋊C₄	—	9	1	no	—
1398	C₂²⋊C₄	—	9	1	no	—
1399	C₂²⋊C₄	—	9	1	no	—
1400	C₂²⋊C₄	—	9	1	no	—
1401	C₂²⋊C₄	—	9	1	no	—
1402	C₂²⋊C₄	—	9	1	no	—
1403	C₂²⋊C₄	—	9	1	no	—
1404	C₂²⋊C₄	—	9	1	no	—
1405	C₂²⋊C₄	—	9	1	no	—
1406	C₂²⋊C₄	—	9	1	no	—
1407	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1408	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1409	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1410	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1411	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1412	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1413	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1414	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1415	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1416	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1417	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1418	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1419	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1420	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1421	C₄²	—	9	1	no	—
1422	C₄²	—	9	1	no	—
1423	C₄²	—	9	1	no	—
1424	C₄²	—	9	1	no	—
1425	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1426	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic, complemented
1427	C₂²×C₃	—	2	4	no	—
1428	C₂²×C₃	—	2	4	no	—
1429	C₂²×C₃	—	2	4	no	—
1430	C₂²×C₃	—	2	4	no	—
1431	C₂²×C₃	—	2	4	no	—
1432	C₂²×C₃	—	2	4	no	—
1433	C₂²×C₃	—	2	4	no	—
1434	C₂²×C₃	—	2	4	no	—
1435	C₂²×C₃	—	2	4	no	—
1436	C₂²×C₃	—	2	4	no	—
1437	C₂²×C₃	—	2	4	no	—
1438	C₂²×C₃	—	2	4	no	—
1439	C₂²×C₃	—	2	4	no	—
1440	C₂²×C₃	—	2	4	no	—
1441	C₂²×C₃	—	4	16	no	—
1442	C₂²×C₃	#1009	1	8	yes	—
1443	C₂²×C₃	C₂⁴×D₃	1	4	yes	—
1444	C₂×D₃	—	3	8	no	—
1445	C₂×D₃	—	3	8	no	—
1446	C₂×D₃	—	6	4	no	—
1447	C₂×D₃	—	6	4	no	—
1448	C₂×D₃	—	6	4	no	—
1449	C₂×D₃	—	6	4	no	—
1450	C₂×D₃	—	6	4	no	—
1451	C₂×D₃	—	6	4	no	—
1452	C₂×D₃	—	6	4	no	—
1453	C₂×D₃	—	6	4	no	—
1454	C₂×D₃	—	6	4	no	—
1455	C₂×D₃	—	6	4	no	—
1456	C₂×D₃	—	6	4	no	—
1457	C₂×D₃	—	6	4	no	—
1458	C₂×D₃	—	6	4	no	—
1459	C₂×D₃	—	6	4	no	—
1460	C₂×D₃	—	6	4	no	—
1461	C₂×D₃	—	6	4	no	—
1462	C₂×D₃	—	6	4	no	—
1463	C₂×D₃	—	6	4	no	—
1464	C₂×D₃	—	6	4	no	—
1465	C₂×D₃	—	6	4	no	—
1466	C₂×D₃	—	6	4	no	—
1467	C₂×D₃	—	6	4	no	—
1468	C₂×D₃	—	12	16	no	—
1469	C₂×D₃	—	12	16	no	—
1470	C₂×D₃	—	12	16	no	—
1471	C₂×D₃	—	12	16	no	—
1472	C₂×D₃	—	12	16	no	—
1473	C₂×D₃	—	12	16	no	—
1474	C₂×D₃	—	24	8	no	—
1475	C₂×D₃	—	24	8	no	—
1476	C₂×D₃	—	24	8	no	—
1477	C₂×D₃	—	24	8	no	—
1478	C₃×C₄	—	2	4	no	—
1479	C₃×C₄	—	2	4	no	—
1480	C₃×C₄	—	2	4	no	—
1481	C₃×C₄	—	2	4	no	—
1482	C₃×C₄	—	2	4	no	—
1483	C₃×C₄	—	2	4	no	—
1484	C₃×C₄	—	2	4	no	—
1485	C₃×C₄	—	2	4	no	—
1486	C₃×C₄	—	2	4	no	—
1487	C₃×C₄	—	2	4	no	—
1488	Dic₃	—	6	4	no	—
1489	Dic₃	—	6	4	no	—
1490	Dic₃	—	6	4	no	—
1491	Dic₃	—	6	4	no	—
1492	Dic₃	—	6	4	no	—
1493	Dic₃	—	6	4	no	—
1494	Dic₃	—	6	4	no	—
1495	Dic₃	—	6	4	no	—
1496	C₃²	#3532	1	1	yes	characteristic, complemented, Sylow
1497	C₂³	—	2	2	no	—
1498	C₂³	—	4	1	no	—
1499	C₂³	—	4	1	no	—
1500	C₂³	—	9	1	no	—
1501	C₂³	—	9	1	no	—
1502	C₂³	—	9	1	no	—
1503	C₂³	—	9	1	no	—
1504	C₂³	—	9	1	no	—
1505	C₂³	—	9	1	no	—
1506	C₂³	—	9	1	no	—
1507	C₂³	—	9	1	no	—
1508	C₂³	—	18	2	no	—
1509	C₂³	—	18	2	no	—
1510	C₂³	—	18	2	no	—
1511	C₂³	—	18	2	no	—
1512	C₂³	—	18	2	no	—
1513	C₂³	—	18	2	no	—
1514	C₂³	—	18	2	no	—
1515	C₂³	—	18	2	no	—
1516	C₂³	—	18	2	no	—
1517	C₂³	—	18	2	no	—
1518	C₂³	—	18	2	no	—
1519	C₂³	—	36	1	no	—
1520	C₂³	—	36	1	no	—
1521	C₂³	—	36	1	no	—
1522	C₂³	—	36	1	no	—
1523	C₂³	—	36	1	no	—
1524	C₂³	—	36	1	no	—
1525	C₂³	—	36	1	no	—
1526	C₂³	—	36	1	no	—
1527	C₂³	—	36	1	no	—
1528	C₂³	—	36	1	no	—
1529	C₂³	—	36	1	no	—
1530	C₂³	—	36	1	no	—
1531	C₂³	—	36	1	no	—
1532	C₂³	—	36	1	no	—
1533	C₂³	—	36	1	no	—
1534	C₂³	—	36	1	no	—
1535	C₂³	—	36	1	no	—
1536	C₂³	—	36	1	no	—
1537	C₂³	—	36	1	no	—
1538	C₂³	—	36	16	no	—
1539	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1540	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1541	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1542	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1543	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1544	Q₈	—	4	1	no	—
1545	Q₈	—	36	1	no	—
1546	Q₈	—	36	1	no	—
1547	D₄	—	2	2	no	—
1548	D₄	—	2	2	no	—
1549	D₄	—	4	1	no	—
1550	D₄	—	4	1	no	—
1551	D₄	—	4	1	no	—
1552	D₄	—	4	1	no	—
1553	D₄	—	4	1	no	—
1554	D₄	—	18	2	no	—
1555	D₄	—	18	2	no	—
1556	D₄	—	18	2	no	—
1557	D₄	—	18	2	no	—
1558	D₄	—	18	2	no	—
1559	D₄	—	18	2	no	—
1560	D₄	—	18	2	no	—
1561	D₄	—	18	2	no	—
1562	D₄	—	18	2	no	—
1563	D₄	—	18	2	no	—
1564	D₄	—	36	1	no	—
1565	D₄	—	36	1	no	—
1566	D₄	—	36	1	no	—
1567	D₄	—	36	1	no	—
1568	D₄	—	36	1	no	—
1569	D₄	—	36	1	no	—
1570	D₄	—	36	1	no	—
1571	D₄	—	36	1	no	—
1572	D₄	—	36	1	no	—
1573	D₄	—	36	1	no	—
1574	D₄	—	36	1	no	—
1575	D₄	—	36	1	no	—
1576	D₄	—	36	1	no	—
1577	D₄	—	36	1	no	—
1578	D₄	—	36	1	no	—
1579	D₄	—	36	1	no	—
1580	D₄	—	36	1	no	—
1581	D₄	—	36	1	no	—
1582	D₄	—	36	1	no	—
1583	D₄	—	36	1	no	—
1584	D₄	—	36	1	no	—
1585	D₄	—	36	1	no	—
1586	D₄	—	36	1	no	—
1587	D₄	—	36	1	no	—
1588	D₄	—	36	1	no	—
1589	D₄	—	36	1	no	—
1590	D₄	—	36	1	no	—
1591	D₄	—	36	1	no	—
1592	C₂×C₄	—	4	1	no	—
1593	C₂×C₄	—	4	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	9	1	no	—
1597	C₂×C₄	—	9	1	no	—
1598	C₂×C₄	—	9	1	no	—
1599	C₂×C₄	—	9	1	no	—
1600	C₂×C₄	—	9	1	no	—
1601	C₂×C₄	—	9	1	no	—
1602	C₂×C₄	—	9	1	no	—
1603	C₂×C₄	—	9	1	no	—
1604	C₂×C₄	—	18	2	no	—
1605	C₂×C₄	—	18	2	no	—
1606	C₂×C₄	—	18	2	no	—
1607	C₂×C₄	—	36	1	no	—
1608	C₂×C₄	—	36	1	no	—
1609	C₂×C₄	—	36	1	no	—
1610	C₂×C₄	—	36	1	no	—
1611	C₂×C₄	—	36	1	no	—
1612	C₂×C₄	—	36	1	no	—
1613	C₂×C₄	—	36	1	no	—
1614	C₂×C₄	—	36	1	no	—
1615	C₂×C₄	—	36	1	no	—
1616	C₂×C₄	—	36	1	no	—
1617	C₂×C₄	—	36	1	no	—
1618	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1619	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1620	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1621	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1622	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1623	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1624	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1625	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1626	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1627	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1628	C₂×C₃	—	2	8	no	—
1629	C₂×C₃	—	4	4	no	—
1630	C₂×C₃	—	4	4	no	—
1631	C₂×C₃	—	4	4	no	—
1632	C₂×C₃	—	4	4	no	—
1633	C₂×C₃	C₂×#1009	1	4	yes	—
1634	C₂×C₃	D₃×H(5,𝔽₂)	1	4	yes	—
1635	C₂×C₃	D₃×H(5,𝔽₂)	1	4	yes	—
1636	D₃	—	6	8	no	—
1637	D₃	—	6	8	no	—
1638	D₃	—	12	4	no	—
1639	D₃	—	12	4	no	—
1640	D₃	—	12	4	no	—
1641	D₃	—	12	4	no	—
1642	D₃	—	12	4	no	—
1643	D₃	—	12	4	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	2	1	no	—
1649	C₂²	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	4	4	no	—
1659	C₂²	—	9	2	no	—
1660	C₂²	—	9	2	no	—
1661	C₂²	—	18	1	no	—
1662	C₂²	—	18	1	no	—
1663	C₂²	—	18	1	no	—
1664	C₂²	—	18	1	no	—
1665	C₂²	—	18	1	no	—
1666	C₂²	—	18	1	no	—
1667	C₂²	—	18	1	no	—
1668	C₂²	—	18	1	no	—
1669	C₂²	—	18	1	no	—
1670	C₂²	—	18	1	no	—
1671	C₂²	—	18	1	no	—
1672	C₂²	—	18	1	no	—
1673	C₂²	—	18	1	no	—
1674	C₂²	—	18	1	no	—
1675	C₂²	—	18	1	no	—
1676	C₂²	—	18	1	no	—
1677	C₂²	—	18	1	no	—
1678	C₂²	—	18	1	no	—
1679	C₂²	—	18	1	no	—
1680	C₂²	—	18	1	no	—
1681	C₂²	—	18	1	no	—
1682	C₂²	—	18	1	no	—
1683	C₂²	—	36	4	no	—
1684	C₂²	—	36	4	no	—
1685	C₂²	—	36	4	no	—
1686	C₂²	—	36	4	no	—
1687	C₂²	—	36	4	no	—
1688	C₂²	—	36	4	no	—
1689	C₂²	—	72	2	no	—
1690	C₂²	—	72	2	no	—
1691	C₂²	—	72	2	no	—
1692	C₂²	—	72	2	no	—
1693	C₂²	#64366	1	2	yes	—
1694	C₂²	C₂⁴×C₃⋊D₃	1	1	yes	characteristic
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	1	no	—
1701	C₄	—	2	1	no	—
1702	C₄	—	2	1	no	—
1703	C₄	—	2	1	no	—
1704	C₄	—	2	1	no	—
1705	C₄	—	18	1	no	—
1706	C₄	—	18	1	no	—
1707	C₄	—	18	1	no	—
1708	C₄	—	18	1	no	—
1709	C₄	—	18	1	no	—
1710	C₄	—	18	1	no	—
1711	C₄	—	18	1	no	—
1712	C₄	—	18	1	no	—
1713	C₃	#86418	1	4	yes	complemented
1714	C₂	—	2	2	no	—
1715	C₂	—	4	1	no	—
1716	C₂	—	4	1	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	4	1	no	—
1719	C₂	—	18	2	no	—
1720	C₂	—	18	2	no	—
1721	C₂	—	36	1	no	—
1722	C₂	—	36	1	no	—
1723	C₂	—	36	1	no	—
1724	C₂	—	36	1	no	—
1725	C₂	—	36	1	no	—
1726	C₂	—	36	1	no	—
1727	C₂	C₂×#64366	1	1	yes	characteristic
1728	C₂	C₃⋊D₃×H(5,𝔽₂)	1	1	yes	characteristic
1729	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×#538	C₂
hypercenter	#538	C₃⋊D₃
hypocenter	C₃²	#3532
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₂² ◁ #538

Complements

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

N	H ≅ G/N	type
1. C₃²×#538	C₂	semidirect
2. #10596182	C₂	semidirect
3. #10596176	C₂	semidirect
4. #10596175	C₂	semidirect
5. #10596175	C₂	semidirect
6. #10596154	C₂	semidirect
7. #10596149	C₂	semidirect
8. #10596147	C₂	semidirect
9. #10596145	C₂	semidirect
10. #10596137	C₂	semidirect
11. #10596128	C₂	semidirect
12. #10596125	C₂	semidirect
13. #10596124	C₂	semidirect
14. #10596108	C₂	semidirect
15. #10596101	C₂	semidirect
16. #10596091	C₂	semidirect
17. #10596081	C₂	semidirect
18. #10596080	C₂	semidirect
19. #10596080	C₂	semidirect
20. #10596078	C₂	semidirect
21. #10596076	C₂	semidirect
22. #10596063	C₂	semidirect
23. #10596060	C₂	semidirect
24. C₃⋊D₃×#120	C₂	semidirect
25. C₃⋊D₃×#120	C₂	semidirect
26. #10596027	C₂	semidirect
27. #10596025	C₂	semidirect
28. #10596021	C₂	semidirect
29. D₄×C₄⋊(C₃⋊D₃)	C₂	semidirect
30. #10595965	C₂	semidirect
31. C₂×#64091	C₂	semidirect
33. C₂⁴×C₃⋊D₃	C₂²	semidirect
34. C₂²×#638	C₂²	semidirect
35. C₂×#3832	C₂²	semidirect
36. C₂×#3830	C₂²	semidirect
37. C₂×D₄×C₃⋊D₃	C₂²	semidirect
38. C₂×D₄×C₃⋊D₃	C₂²	semidirect
39. C₂×D₄×C₃⋊D₃	C₂²	semidirect
40. C₂×D₄×C₃⋊D₃	C₂²	semidirect
41. C₂×D₄×C₃⋊D₃	C₂²	semidirect
42. C₂×D₄×C₃⋊D₃	C₂²	semidirect
43. C₂×D₄×C₃⋊D₃	C₂²	semidirect
44. C₂×D₄×C₃⋊D₃	C₂²	semidirect
45. C₂×#3828	C₂²	semidirect
46. C₂²×C₄⋊(C₃⋊D₃)	C₂²	semidirect
47. C₂²×C₄⋊(C₃⋊D₃)	C₂²	semidirect
48. C₂²×C₄⋊(C₃⋊D₃)	C₂²	semidirect
49. C₃²×#126	C₂²	semidirect
50. C₃²×#126	C₂²	semidirect
51. C₃²×#124	C₂²	semidirect
52. C₃²×#124	C₂²	semidirect
53. C₃²×#123	C₂²	semidirect
54. C₃²×#123	C₂²	semidirect
55. C₃²×C₂²⋊Q₈	C₂²	semidirect
56. C₃²×#121	C₂²	semidirect
57. C₃²×#121	C₂²	semidirect
58. C₃²×#121	C₂²	semidirect
59. C₃²×#120	C₂²	semidirect
60. C₃²×#120	C₂²	semidirect
61. C₃²×C₄×D₄	C₂²	semidirect
62. C₃²×C₄×D₄	C₂²	semidirect
63. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
64. #64162	C₂²	semidirect
65. #64162	C₂²	semidirect
66. #64156	C₂²	semidirect
67. #64156	C₂²	semidirect
68. #64155	C₂²	semidirect
69. #64149	C₂²	semidirect
70. #64149	C₂²	semidirect
71. #64149	C₂²	semidirect
72. #64148	C₂²	semidirect
73. #64148	C₂²	semidirect
74. #64148	C₂²	semidirect
75. #64147	C₂²	semidirect
76. #64147	C₂²	semidirect
78. #64146	C₂²	semidirect
79. #64146	C₂²	semidirect
80. #64146	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. #64144	C₂²	semidirect
88. #64139	C₂²	semidirect
89. #64139	C₂²	semidirect
90. #64139	C₂²	semidirect
91. #64139	C₂²	semidirect
92. #64138	C₂²	semidirect
93. C₄×#638	C₂²	semidirect
94. C₄×#638	C₂²	semidirect
95. C₄×#638	C₂²	semidirect
96. C₂×#3752	C₂²	semidirect
97. C₂×#3752	C₂²	semidirect
98. C₂×#3752	C₂²	semidirect
99. #64133	C₂²	semidirect
100. #64107	C₂²	semidirect
101. #64107	C₂²	semidirect
102. #64107	C₂²	semidirect
103. #64106	C₂²	semidirect
104. #64105	C₂²	semidirect
105. #64105	C₂²	semidirect
106. #64104	C₂²	semidirect
107. #64104	C₂²	semidirect
108. #64104	C₂²	semidirect
109. #64104	C₂²	semidirect
110. #64104	C₂²	semidirect
111. #64104	C₂²	semidirect
112. #64104	C₂²	semidirect
113. #64103	C₂²	semidirect
114. #64103	C₂²	semidirect
115. #64103	C₂²	semidirect
116. #64103	C₂²	semidirect
117. #64103	C₂²	semidirect
118. #64103	C₂²	semidirect
119. #64103	C₂²	semidirect
120. #64102	C₂²	semidirect
121. #64102	C₂²	semidirect
122. #64102	C₂²	semidirect
123. #64101	C₂²	semidirect
124. #64095	C₂²	semidirect
125. #64095	C₂²	semidirect
126. #64094	C₂²	semidirect
127. #64094	C₂²	semidirect
128. #64094	C₂²	semidirect
129. #64094	C₂²	semidirect
130. #64094	C₂²	semidirect
131. #64094	C₂²	semidirect
132. #64093	C₂²	semidirect
133. #64093	C₂²	semidirect
134. #64093	C₂²	semidirect
135. #64093	C₂²	semidirect
136. #64093	C₂²	semidirect
137. #64093	C₂²	semidirect
138. #64093	C₂²	semidirect
139. #64093	C₂²	semidirect
140. #64093	C₂²	semidirect
141. #64093	C₂²	semidirect
142. #64093	C₂²	semidirect
143. #64092	C₂²	semidirect
144. #64092	C₂²	semidirect
145. #64092	C₂²	semidirect
146. #64092	C₂²	semidirect
147. #64092	C₂²	semidirect
150. #64091	C₂²	semidirect
151. #64091	C₂²	semidirect
152. #64091	C₂²	semidirect
153. #64091	C₂²	semidirect
154. #64091	C₂²	semidirect
155. #64091	C₂²	semidirect
156. #64091	C₂²	semidirect
157. #64091	C₂²	semidirect
158. #64091	C₂²	semidirect
159. #64091	C₂²	semidirect
160. #64091	C₂²	semidirect
161. #64091	C₂²	semidirect
162. #64091	C₂²	semidirect
163. #64091	C₂²	semidirect
164. #64091	C₂²	semidirect
165. #64091	C₂²	semidirect
166. #64091	C₂²	semidirect
167. #64091	C₂²	semidirect
168. #64090	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. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
175. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
176. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
177. #64088	C₂²	semidirect
178. #64088	C₂²	semidirect
179. #64086	C₂²	semidirect
180. #64085	C₂²	semidirect
181. #64084	C₂²	semidirect
182. #64084	C₂²	semidirect
183. #64083	C₂²	semidirect
184. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
185. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
186. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
187. #64081	C₂²	semidirect
188. C₃×#538	D₃	semidirect
232. C₂³×C₃⋊D₃	C₂³	semidirect
233. C₂×C₃²×Q₈	C₂³	semidirect
240. C₂×C₃²×D₄	C₂³	semidirect
243. C₂²×C₃²×C₄	C₂³	semidirect
244. C₂²×C₃²×C₄	C₂³	semidirect
262. C₂×#638	C₂³	semidirect
263. C₂×#638	C₂³	semidirect
264. C₂×#638	C₂³	semidirect
265. C₂×#638	C₂³	semidirect
267. C₂²×C₃⋊Dic₃	C₂³	semidirect
296. C₂×C₄⋊(C₃⋊D₃)	C₂³	semidirect
297. C₂×C₄⋊(C₃⋊D₃)	C₂³	semidirect
298. C₂×C₄⋊(C₃⋊D₃)	C₂³	semidirect
299. C₂×C₄⋊(C₃⋊D₃)	C₂³	semidirect
306. C₂×C₄×C₃⋊D₃	C₂³	semidirect
307. C₂×C₄×C₃⋊D₃	C₂³	semidirect
308. C₂×C₄×C₃⋊D₃	C₂³	semidirect
309. C₂×C₄×C₃⋊D₃	C₂³	semidirect
310. C₂×C₄×C₃⋊D₃	C₂³	semidirect
311. C₂×C₄×C₃⋊D₃	C₂³	semidirect
312. C₂×#634	C₂³	semidirect
313. C₂×#634	C₂³	semidirect
314. C₃²×C₄⋊C₄	C₂³	semidirect
315. C₃²×C₄⋊C₄	C₂³	semidirect
316. C₃²×C₄⋊C₄	C₂³	semidirect
317. C₃²×C₄⋊C₄	C₂³	semidirect
318. C₃²×C₄⋊C₄	C₂³	semidirect
319. C₃²×C₄⋊C₄	C₂³	semidirect
330. C₃²×C₂²⋊C₄	C₂³	semidirect
331. C₃²×C₂²⋊C₄	C₂³	semidirect
332. C₃²×C₂²⋊C₄	C₂³	semidirect
333. C₃²×C₂²⋊C₄	C₂³	semidirect
334. C₃²×C₄²	C₂³	semidirect
335. C₃²×C₄²	C₂³	semidirect
342. #3757	C₂³	semidirect
343. #3757	C₂³	semidirect
364. #3752	C₂³	semidirect
365. #3752	C₂³	semidirect
366. #3752	C₂³	semidirect
367. #3752	C₂³	semidirect
368. #3752	C₂³	semidirect
369. #3752	C₂³	semidirect
370. #3752	C₂³	semidirect
371. #3752	C₂³	semidirect
372. #3752	C₂³	semidirect
373. #3752	C₂³	semidirect
374. #3752	C₂³	semidirect
375. #3752	C₂³	semidirect
376. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
377. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
378. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
379. C₄⋊(C₃⋊Dic₃)	C₂³	semidirect
380. #3750	C₂³	semidirect
381. #3750	C₂³	semidirect
382. #3750	C₂³	semidirect
383. #3750	C₂³	semidirect
384. #3750	C₂³	semidirect
385. #3750	C₂³	semidirect
386. #3750	C₂³	semidirect
387. #3750	C₂³	semidirect
388. C₄×C₃⋊Dic₃	C₂³	semidirect
389. C₄×C₃⋊Dic₃	C₂³	semidirect
390. C₄×C₃⋊Dic₃	C₂³	semidirect
391. C₄×C₃⋊Dic₃	C₂³	semidirect
409. C₃×#126	C₂×D₃	semidirect
410. C₃×#126	C₂×D₃	semidirect
411. C₃×#124	C₂×D₃	semidirect
412. C₃×#124	C₂×D₃	semidirect
413. C₃×#123	C₂×D₃	semidirect
414. C₃×#123	C₂×D₃	semidirect
415. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
416. C₃×#121	C₂×D₃	semidirect
417. C₃×#121	C₂×D₃	semidirect
418. C₃×#121	C₂×D₃	semidirect
419. C₃×#120	C₂×D₃	semidirect
420. C₃×#120	C₂×D₃	semidirect
421. C₃×C₄×D₄	C₂×D₃	semidirect
422. C₃×C₄×D₄	C₂×D₃	semidirect
423. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
700. #538	C₃⋊D₃	semidirect
724. C₂×C₃×Q₈	C₂²×D₃	semidirect
731. C₂×C₃×D₄	C₂²×D₃	semidirect
734. C₂²×C₃×C₄	C₂²×D₃	semidirect
735. C₂²×C₃×C₄	C₂²×D₃	semidirect
805. C₃×C₄⋊C₄	C₂²×D₃	semidirect
806. C₃×C₄⋊C₄	C₂²×D₃	semidirect
807. C₃×C₄⋊C₄	C₂²×D₃	semidirect
808. C₃×C₄⋊C₄	C₂²×D₃	semidirect
809. C₃×C₄⋊C₄	C₂²×D₃	semidirect
810. C₃×C₄⋊C₄	C₂²×D₃	semidirect
821. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
822. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
823. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
824. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
825. C₃×C₄²	C₂²×D₃	semidirect
826. C₃×C₄²	C₂²×D₃	semidirect
978. #126	C₂×C₃⋊D₃	semidirect
979. #126	C₂×C₃⋊D₃	semidirect
990. #124	C₂×C₃⋊D₃	semidirect
991. #124	C₂×C₃⋊D₃	semidirect
1008. #123	C₂×C₃⋊D₃	semidirect
1009. #123	C₂×C₃⋊D₃	semidirect
1015. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
1043. #121	C₂×C₃⋊D₃	semidirect
1044. #121	C₂×C₃⋊D₃	semidirect
1045. #121	C₂×C₃⋊D₃	semidirect
1078. #120	C₂×C₃⋊D₃	semidirect
1079. #120	C₂×C₃⋊D₃	semidirect
1090. C₄×D₄	C₂×C₃⋊D₃	semidirect
1091. C₄×D₄	C₂×C₃⋊D₃	semidirect
1106. C₂×C₂²⋊C₄	C₂×C₃⋊D₃	semidirect
1273. C₂×Q₈	C₂²×C₃⋊D₃	semidirect
1330. C₂×D₄	C₂²×C₃⋊D₃	semidirect
1347. C₂²×C₄	C₂²×C₃⋊D₃	semidirect
1348. C₂²×C₄	C₂²×C₃⋊D₃	semidirect
1361. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1362. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1363. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1364. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1365. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1366. C₄⋊C₄	C₂²×C₃⋊D₃	semidirect
1417. C₂²⋊C₄	C₂²×C₃⋊D₃	semidirect
1418. C₂²⋊C₄	C₂²×C₃⋊D₃	semidirect
1419. C₂²⋊C₄	C₂²×C₃⋊D₃	semidirect
1420. C₂²⋊C₄	C₂²×C₃⋊D₃	semidirect
1425. C₄²	C₂²×C₃⋊D₃	semidirect
1426. C₄²	C₂²×C₃⋊D₃	semidirect
1496. C₃²	#3532	semidirect
1713. C₃	#86418	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#538	2
#10596182	2
#10596176	2
#10596175	2
#10596154	2
#10596149	2
#10596147	2
#10596145	2
#10596137	2
#10596128	2
#10596125	2
#10596124	2
#10596108	2
#10596101	2
#10596091	2
#10596081	2
#10596080	2
#10596078	2
#10596076	2
#10596063	2
#10596060	2
C₃⋊D₃×#120	2
#10596027	2
#10596025	2
#10596021	2
D₄×C₄⋊(C₃⋊D₃)	2
#10595965	2
C₂×#64091	2
#86418	3