Subgroups — #10959773

Order 768.

2292 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#551	C₂	1	1	yes	maximal, characteristic
2	#83076	C₂	1	1	yes	maximal, characteristic, complemented
3	#83075	C₂	1	1	yes	maximal, characteristic, complemented
4	#83074	C₂	1	1	yes	maximal, characteristic, complemented
5	#83074	C₂	1	1	yes	maximal, characteristic, complemented
6	#82955	C₂	1	1	yes	maximal, characteristic, complemented
7	#82954	C₂	1	1	yes	maximal, characteristic, complemented
8	#82840	C₂	1	1	yes	maximal, characteristic, complemented
9	#82840	C₂	1	1	yes	maximal, characteristic, complemented
10	#82838	C₂	1	1	yes	maximal, characteristic, complemented
11	#82837	C₂	1	1	yes	maximal, characteristic, complemented
12	#82836	C₂	1	1	yes	maximal, characteristic, complemented
13	Dic₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
14	#82750	C₂	1	1	yes	maximal, characteristic, complemented
15	#82747	C₂	1	1	yes	maximal, characteristic, complemented
16	#82745	C₂	1	1	yes	maximal, characteristic, complemented
17	#82744	C₂	1	1	yes	maximal, characteristic, complemented
18	#82579	C₂	1	1	yes	maximal, characteristic
19	#82578	C₂	1	1	yes	maximal, characteristic
20	#82335	C₂	1	1	yes	maximal, characteristic, complemented
21	D₄×C₄⋊Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#82325	C₂	1	1	yes	maximal, characteristic, complemented
23	#82324	C₂	1	1	yes	maximal, characteristic, complemented
24	#82240	C₂	1	1	yes	maximal, characteristic, complemented
25	#82237	C₂	1	1	yes	maximal, characteristic, complemented
26	#82231	C₂	1	1	yes	maximal, characteristic, complemented
27	#82227	C₂	1	1	yes	maximal, characteristic, complemented
28	#82097	C₂	1	1	yes	maximal, characteristic, complemented
29	#82097	C₂	1	1	yes	maximal, characteristic, complemented
30	#82094	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#4951	C₂	1	1	yes	maximal, characteristic, complemented
32	#34458	—	3	1	no	maximal, Sylow
33	C₃×#551	C₄	1	16	yes	complemented
34	C₂×C₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₃×#124	C₂²	1	1	yes	characteristic
37	C₂×C₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₃×#123	C₂²	1	1	yes	characteristic
39	C₂×C₃×#123	C₂²	1	1	yes	characteristic
40	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₃×#120	C₂²	1	1	yes	characteristic
43	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
44	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₃×#117	C₂²	1	1	yes	characteristic
46	C₂×C₃×#117	C₂²	1	1	yes	characteristic
47	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₂²×#217	C₂²	1	1	yes	characteristic
50	C₂²×#217	C₂²	1	1	yes	characteristic
51	C₂²×#217	C₂²	1	1	yes	characteristic
52	C₂×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×D₄×Dic₃	C₂²	1	1	yes	characteristic
54	C₂×D₄×Dic₃	C₂²	1	1	yes	characteristic
55	C₂×D₄×Dic₃	C₂²	1	1	yes	characteristic
56	C₂×#926	C₂²	1	1	yes	characteristic
57	C₂×#926	C₂²	1	1	yes	characteristic
58	C₂²×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
59	C₂²×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
60	C₂²×C₄×Dic₃	C₂²	1	1	yes	characteristic
61	#5247	C₂²	1	1	yes	characteristic
62	#5229	C₂²	1	1	yes	characteristic, complemented
63	#5229	C₂²	1	1	yes	characteristic, complemented
64	#5229	C₂²	1	1	yes	characteristic, complemented
65	#5221	C₂²	1	1	yes	characteristic
66	#5221	C₂²	1	1	yes	characteristic
67	#5221	C₂²	1	1	yes	characteristic
68	#5220	C₂²	1	1	yes	characteristic
69	#5220	C₂²	1	1	yes	characteristic
70	#5220	C₂²	1	1	yes	characteristic
71	#5220	C₂²	1	1	yes	characteristic
72	#5220	C₂²	1	1	yes	characteristic
73	#5220	C₂²	1	1	yes	characteristic
74	#5212	C₂²	1	1	yes	characteristic
75	#5212	C₂²	1	1	yes	characteristic
76	#5212	C₂²	1	1	yes	characteristic
77	#5212	C₂²	1	1	yes	characteristic
78	#5212	C₂²	1	1	yes	characteristic
79	#5212	C₂²	1	1	yes	characteristic
80	#5212	C₂²	1	1	yes	characteristic, complemented
81	#5212	C₂²	1	1	yes	characteristic, complemented
82	#5211	C₂²	1	1	yes	characteristic
83	#5211	C₂²	1	1	yes	characteristic
84	#5211	C₂²	1	1	yes	characteristic, complemented
85	C₄×#217	C₂²	1	1	yes	characteristic
86	C₄×#217	C₂²	1	1	yes	characteristic
87	C₂×C₃⋊#95	C₂²	1	1	yes	characteristic
88	C₂×C₃⋊#95	C₂²	1	1	yes	characteristic
89	#4984	C₂²	1	1	yes	characteristic, complemented
90	#4984	C₂²	1	1	yes	characteristic, complemented
91	#4984	C₂²	1	1	yes	characteristic, complemented
92	#4984	C₂²	1	1	yes	characteristic, complemented
93	#4984	C₂²	1	1	yes	characteristic, complemented
94	#4984	C₂²	1	1	yes	characteristic, complemented
95	#4984	C₂²	1	1	yes	characteristic, complemented
96	#4984	C₂²	1	1	yes	characteristic, complemented
97	#4984	C₂²	1	1	yes	characteristic, complemented
98	#4984	C₂²	1	1	yes	characteristic, complemented
99	#4984	C₂²	1	1	yes	characteristic, complemented
100	#4984	C₂²	1	1	yes	characteristic, complemented
101	#4980	C₂²	1	1	yes	characteristic, complemented
102	#4980	C₂²	1	1	yes	characteristic, complemented
103	#4980	C₂²	1	1	yes	characteristic, complemented
104	#4980	C₂²	1	1	yes	characteristic, complemented
105	#4980	C₂²	1	1	yes	characteristic, complemented
106	#4980	C₂²	1	1	yes	characteristic, complemented
107	#4980	C₂²	1	1	yes	characteristic, complemented
108	#4980	C₂²	1	1	yes	characteristic, complemented
109	#4980	C₂²	1	1	yes	characteristic, complemented
110	#4980	C₂²	1	1	yes	characteristic, complemented
111	#4980	C₂²	1	1	yes	characteristic, complemented
112	#4980	C₂²	1	1	yes	characteristic, complemented
113	#4980	C₂²	1	1	yes	characteristic, complemented
114	#4980	C₂²	1	1	yes	characteristic, complemented
115	#4980	C₂²	1	1	yes	characteristic, complemented
116	#4980	C₂²	1	1	yes	characteristic, complemented
117	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
119	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
121	#4951	C₂²	1	1	yes	characteristic
122	#4951	C₂²	1	1	yes	characteristic
123	#4951	C₂²	1	1	yes	characteristic
124	#4951	C₂²	1	1	yes	characteristic
125	#4951	C₂²	1	1	yes	characteristic
126	#4951	C₂²	1	1	yes	characteristic
127	#4951	C₂²	1	1	yes	characteristic
128	#4951	C₂²	1	1	yes	characteristic
129	#4951	C₂²	1	1	yes	characteristic
130	#4951	C₂²	1	1	yes	characteristic
131	#4951	C₂²	1	1	yes	characteristic
132	#4951	C₂²	1	1	yes	characteristic
133	#4951	C₂²	1	1	yes	characteristic
134	#4951	C₂²	1	1	yes	characteristic
135	#4951	C₂²	1	1	yes	characteristic
136	#4951	C₂²	1	1	yes	characteristic
137	#4951	C₂²	1	1	yes	characteristic
138	#4951	C₂²	1	1	yes	characteristic
139	#4951	C₂²	1	1	yes	characteristic
140	#4951	C₂²	1	1	yes	characteristic
141	#4951	C₂²	1	1	yes	characteristic
142	#4951	C₂²	1	1	yes	characteristic
143	#4951	C₂²	1	1	yes	characteristic, complemented
144	#4951	C₂²	1	1	yes	characteristic, complemented
145	#4951	C₂²	1	1	yes	characteristic, complemented
146	#4951	C₂²	1	1	yes	characteristic, complemented
147	#4951	C₂²	1	1	yes	characteristic, complemented
148	#4951	C₂²	1	1	yes	characteristic, complemented
149	#4950	C₂²	1	1	yes	characteristic
150	#4950	C₂²	1	1	yes	characteristic
151	#4950	C₂²	1	1	yes	characteristic
152	#4950	C₂²	1	1	yes	characteristic
153	#4950	C₂²	1	1	yes	characteristic
154	#4950	C₂²	1	1	yes	characteristic
155	#4950	C₂²	1	1	yes	characteristic
156	#4950	C₂²	1	1	yes	characteristic
157	#4950	C₂²	1	1	yes	characteristic
158	#4950	C₂²	1	1	yes	characteristic
159	#4950	C₂²	1	1	yes	characteristic
160	#4950	C₂²	1	1	yes	characteristic
161	#4950	C₂²	1	1	yes	characteristic
162	#4950	C₂²	1	1	yes	characteristic
163	#4950	C₂²	1	1	yes	characteristic
164	#4950	C₂²	1	1	yes	characteristic, complemented
165	#4950	C₂²	1	1	yes	characteristic, complemented
166	#4950	C₂²	1	1	yes	characteristic, complemented
167	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
168	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
169	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
170	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
177	#4937	C₂²	1	1	yes	characteristic, complemented
178	#4937	C₂²	1	1	yes	characteristic, complemented
179	#4936	C₂²	1	1	yes	characteristic, complemented
180	#4936	C₂²	1	1	yes	characteristic, complemented
181	#4935	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
188	#4932	C₂²	1	1	yes	characteristic, complemented
189	C₂×#551	D₃	1	1	yes	characteristic
190	#2383	—	3	1	no	—
191	#2378	—	3	1	no	—
192	#2376	—	3	1	no	—
193	#2376	—	3	1	no	—
194	#2373	—	3	1	no	—
195	#2367	—	3	1	no	—
196	#2360	—	3	1	no	—
197	#2359	—	3	1	no	—
198	#2358	—	3	1	no	—
199	#2352	—	3	1	no	—
200	D₄×C₄⋊C₄	—	3	1	no	—
201	#2347	—	3	1	no	—
202	#2343	—	3	1	no	—
203	#2342	—	3	1	no	—
204	#2342	—	3	1	no	—
205	#2337	—	3	1	no	—
206	#2335	—	3	1	no	—
207	#2334	—	3	1	no	—
208	#2334	—	3	1	no	—
209	#2329	—	3	1	no	—
210	#2323	—	3	1	no	—
211	#2322	—	3	1	no	—
212	#2321	—	3	1	no	—
213	#2319	—	3	1	no	—
214	#2318	—	3	1	no	—
215	#2315	—	3	1	no	—
216	#2314	—	3	1	no	—
217	C₄×#123	—	3	1	no	—
218	#2296	—	3	1	no	—
219	C₂×#388	—	3	1	no	—
220	C₂⁵×C₃	C₂³	1	1	yes	characteristic
221	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
222	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
223	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
224	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
225	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
226	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
227	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
228	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
229	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
230	C₂³×Dic₃	C₂³	1	1	yes	characteristic
231	C₂³×Dic₃	C₂³	1	1	yes	characteristic
232	C₂³×Dic₃	C₂³	1	1	yes	characteristic
233	C₂³×Dic₃	C₂³	1	1	yes	characteristic
234	C₂³×Dic₃	C₂³	1	1	yes	characteristic
235	C₂³×Dic₃	C₂³	1	1	yes	characteristic
236	C₂³×Dic₃	C₂³	1	1	yes	characteristic
237	C₂³×Dic₃	C₂³	1	1	yes	characteristic
238	C₃×#126	C₂×C₄	1	8	yes	complemented
239	C₃×#126	C₂×C₄	1	8	yes	complemented
240	C₃×#124	C₂×C₄	1	8	yes	complemented
241	C₃×#123	C₂×C₄	1	8	yes	complemented
242	C₃×#123	C₂×C₄	1	8	yes	complemented
243	C₃×#123	C₂×C₄	1	8	yes	complemented
244	C₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
245	C₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
246	C₃×#120	C₂×C₄	1	8	yes	—
247	C₃×C₄×D₄	C₂×C₄	1	8	yes	complemented
248	C₃×C₄×D₄	C₂×C₄	1	8	yes	complemented
249	C₃×#117	C₂×C₄	1	8	yes	complemented
250	C₃×#117	C₂×C₄	1	8	yes	complemented
251	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
260	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
261	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
276	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
277	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
278	C₂×#217	—	4	2	no	—
279	C₂×#217	—	4	2	no	—
280	C₂×#217	—	4	2	no	—
281	C₂×#217	C₂³	1	1	yes	characteristic
282	C₂×#217	C₂³	1	1	yes	characteristic
283	C₂×#217	C₂³	1	1	yes	characteristic
284	C₂×#217	C₂³	1	1	yes	characteristic
285	C₂×#217	C₂³	1	1	yes	characteristic
286	C₂×#217	C₂³	1	1	yes	characteristic
287	C₂×#217	C₂³	1	1	yes	characteristic
288	C₂×#217	C₂³	1	1	yes	characteristic
289	C₂×#217	C₂³	1	1	yes	characteristic
290	C₂×#217	C₂³	1	1	yes	characteristic
291	C₂×#217	C₂³	1	1	yes	characteristic
292	C₂×#217	C₂³	1	1	yes	characteristic
293	C₂×#217	C₂³	1	1	yes	characteristic
294	C₂×#217	C₂³	1	1	yes	characteristic
295	C₂×#217	C₂³	1	1	yes	characteristic
296	C₂×#217	C₂³	1	1	yes	characteristic
297	C₂×#217	C₂³	1	1	yes	characteristic
298	C₂×#217	C₂³	1	1	yes	characteristic
299	C₂×#217	C₂³	1	1	yes	characteristic
300	C₂×#217	C₂³	1	1	yes	characteristic
301	C₂×#217	C₂³	1	1	yes	characteristic
302	C₂×#217	C₂³	1	1	yes	characteristic
303	C₂×#217	C₂³	1	1	yes	characteristic
304	C₂×#217	C₂³	1	1	yes	characteristic
305	Q₈×Dic₃	—	4	2	no	—
306	D₄×Dic₃	—	4	2	no	—
307	D₄×Dic₃	—	4	2	no	—
308	D₄×Dic₃	—	4	2	no	—
309	#926	—	4	2	no	—
310	#926	—	4	2	no	—
311	C₂×C₄⋊Dic₃	—	4	2	no	—
312	C₂×C₄⋊Dic₃	—	4	2	no	—
313	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
339	C₂×C₄×Dic₃	—	4	2	no	—
340	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
341	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
342	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
343	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
344	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
345	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
346	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
347	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
348	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
349	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
350	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
351	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
352	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
353	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
354	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
355	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
356	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
357	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
358	C₃⋊#95	C₂³	1	1	yes	characteristic
359	C₃⋊#95	C₂³	1	1	yes	characteristic
360	C₃⋊#95	C₂³	1	1	yes	characteristic
361	C₃⋊#95	C₂³	1	1	yes	characteristic
362	C₃⋊#95	C₂³	1	1	yes	characteristic
363	C₃⋊#95	C₂³	1	1	yes	characteristic
364	C₃⋊#95	C₂³	1	1	yes	characteristic
365	C₃⋊#95	C₂³	1	1	yes	characteristic
366	C₃⋊#95	C₂³	1	1	yes	characteristic
367	C₃⋊#95	C₂³	1	1	yes	characteristic
368	C₃⋊#95	C₂³	1	1	yes	characteristic
369	C₃⋊#95	C₂³	1	1	yes	characteristic
370	C₃⋊#95	C₂³	1	1	yes	characteristic
371	C₃⋊#95	C₂³	1	1	yes	characteristic
372	C₃⋊#95	C₂³	1	1	yes	characteristic
373	C₃⋊#95	C₂³	1	1	yes	characteristic
374	C₃⋊#95	C₂³	1	1	yes	characteristic
375	C₃⋊#95	C₂³	1	1	yes	characteristic
376	C₃⋊#95	C₂³	1	1	yes	characteristic
377	C₃⋊#95	C₂³	1	1	yes	characteristic
378	C₃⋊#95	C₂³	1	1	yes	characteristic
379	C₃⋊#95	C₂³	1	1	yes	characteristic
380	C₃⋊#95	C₂³	1	1	yes	characteristic
381	C₃⋊#95	C₂³	1	1	yes	characteristic
382	C₃⋊#95	C₂³	1	1	yes	characteristic
383	C₃⋊#95	C₂³	1	1	yes	characteristic
384	C₃⋊#95	C₂³	1	1	yes	characteristic
385	C₃⋊#95	C₂³	1	1	yes	characteristic
386	C₃⋊#95	C₂³	1	1	yes	characteristic
387	C₃⋊#95	C₂³	1	1	yes	characteristic
388	C₃⋊#95	C₂³	1	1	yes	characteristic
389	C₃⋊#95	C₂³	1	1	yes	characteristic
390	C₃⋊#95	C₂³	1	1	yes	characteristic
391	C₃⋊#95	C₂³	1	1	yes	characteristic
392	C₃⋊#95	C₂³	1	1	yes	characteristic
393	C₃⋊#95	C₂³	1	1	yes	characteristic
394	C₃⋊#95	C₂³	1	1	yes	characteristic
395	C₃⋊#95	C₂³	1	1	yes	characteristic
396	C₃⋊#95	C₂³	1	1	yes	characteristic
397	C₃⋊#95	C₂³	1	1	yes	characteristic
398	C₃⋊#95	C₂³	1	1	yes	characteristic
399	C₃⋊#95	C₂³	1	1	yes	characteristic
400	C₃⋊#95	C₂³	1	1	yes	characteristic
401	C₃⋊#95	C₂³	1	1	yes	characteristic
402	#551	Dic₃	1	16	yes	complemented
403	C₂×#126	C₂×D₃	1	1	yes	characteristic
404	C₂×#126	C₂×D₃	1	1	yes	characteristic
405	C₂×#124	C₂×D₃	1	1	yes	characteristic
406	C₂×#123	C₂×D₃	1	1	yes	characteristic
407	C₂×#123	C₂×D₃	1	1	yes	characteristic
408	C₂×#123	C₂×D₃	1	1	yes	characteristic
409	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
410	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
411	C₂×#120	C₂×D₃	1	1	yes	characteristic
412	C₂×C₄×Q₈	—	3	1	no	—
413	C₂×C₄×D₄	—	3	1	no	—
414	C₂×C₄×D₄	—	3	1	no	—
415	C₂×C₄×D₄	—	3	1	no	—
416	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic
417	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic
418	C₂×#117	—	3	1	no	—
419	C₂×#117	—	3	1	no	—
420	C₂×#117	C₂×D₃	1	1	yes	characteristic
421	C₂×#117	C₂×D₃	1	1	yes	characteristic
422	C₂²×C₄⋊C₄	—	3	1	no	—
423	C₂²×C₄⋊C₄	—	3	1	no	—
424	C₂²×C₂²⋊C₄	—	3	1	no	—
425	C₂²×C₂²⋊C₄	—	3	1	no	—
426	C₂²×C₂²⋊C₄	—	3	1	no	—
427	C₂²×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
428	C₂²×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
429	C₂²×C₄²	—	3	1	no	—
430	#391	—	3	1	no	—
431	#391	—	3	1	no	—
432	#391	—	3	1	no	—
433	#390	—	3	1	no	—
434	#390	—	3	1	no	—
435	#390	—	3	1	no	—
436	#389	—	3	1	no	—
437	#389	—	3	1	no	—
438	#389	—	3	1	no	—
439	#389	—	3	1	no	—
440	#389	—	3	1	no	—
441	#389	—	3	1	no	—
442	#389	—	3	1	no	—
443	#389	—	3	1	no	—
444	#389	—	3	1	no	—
445	#389	—	3	1	no	—
446	#389	—	3	1	no	—
447	#389	—	3	1	no	—
448	#388	—	3	1	no	—
449	#388	—	3	1	no	—
450	#388	—	3	1	no	—
451	#388	—	3	1	no	—
452	#388	—	3	1	no	—
453	#388	—	3	1	no	—
454	#388	—	3	1	no	—
455	#388	—	3	1	no	—
456	#388	—	3	1	no	—
457	#388	—	3	1	no	—
458	#388	—	3	1	no	—
459	#388	—	3	1	no	—
460	#388	—	3	1	no	—
461	#388	—	3	1	no	—
462	#388	—	3	1	no	—
463	#388	—	3	1	no	—
464	#388	—	3	1	no	—
465	#388	—	3	1	no	—
466	#388	—	3	1	no	—
467	#388	—	3	1	no	—
468	#388	—	3	1	no	—
469	#388	—	3	1	no	—
470	#388	—	3	1	no	—
471	#388	—	3	1	no	—
472	#388	—	3	1	no	—
473	#388	—	3	1	no	—
474	#388	—	3	1	no	—
475	#388	—	3	1	no	—
476	#387	—	3	1	no	—
477	#387	—	3	1	no	—
478	#387	—	3	1	no	—
479	#387	—	3	1	no	—
480	#387	—	3	1	no	—
481	#387	—	3	1	no	—
482	#387	—	3	1	no	—
483	#387	—	3	1	no	—
484	#387	—	3	1	no	—
485	#387	—	3	1	no	—
486	#387	—	3	1	no	—
487	#387	—	3	1	no	—
488	#387	—	3	1	no	—
489	#387	—	3	1	no	—
490	#387	—	3	1	no	—
491	#387	—	3	1	no	—
492	#386	—	3	1	no	—
493	#386	—	3	1	no	—
494	#386	—	3	1	no	—
495	#386	—	3	1	no	—
496	#386	—	3	1	no	—
497	#386	—	3	1	no	—
498	#385	—	3	1	no	—
499	#385	—	3	1	no	—
500	#385	—	3	1	no	—
501	#385	—	3	1	no	—
502	#385	—	3	1	no	—
503	#385	—	3	1	no	—
504	#385	—	3	1	no	—
505	#385	—	3	1	no	—
506	#385	—	3	1	no	—
507	#385	—	3	1	no	—
508	#385	—	3	1	no	—
509	#385	—	3	1	no	—
510	#385	—	3	1	no	—
511	#385	—	3	1	no	—
512	#385	—	3	1	no	—
513	#385	—	3	1	no	—
514	#385	—	3	1	no	—
515	#385	—	3	1	no	—
516	#384	—	3	1	no	—
517	#383	—	3	1	no	—
518	#383	—	3	1	no	—
519	#382	—	3	1	no	—
520	#382	—	3	1	no	—
521	#381	—	3	1	no	—
522	#381	—	3	1	no	—
523	#381	—	3	1	no	—
524	#380	—	3	1	no	—
525	#380	—	3	1	no	—
526	#380	—	3	1	no	—
527	#380	—	3	1	no	—
528	#380	—	3	1	no	—
529	#380	—	3	1	no	—
530	#380	—	3	1	no	—
531	#380	—	3	1	no	—
532	#379	—	3	1	no	—
533	C₄×C₄⋊C₄	—	3	1	no	—
534	C₄×C₄⋊C₄	—	3	1	no	—
535	C₄×C₄⋊C₄	—	3	1	no	—
536	C₄×C₄⋊C₄	—	3	1	no	—
537	C₄×C₄⋊C₄	—	3	1	no	—
538	C₄×C₄⋊C₄	—	3	1	no	—
539	C₄×C₄⋊C₄	—	3	1	no	—
540	C₄×C₄⋊C₄	—	3	1	no	—
541	C₄×C₄⋊C₄	—	3	1	no	—
542	C₄×C₄⋊C₄	—	3	1	no	—
543	C₄×C₂²⋊C₄	—	3	1	no	—
544	C₄×C₂²⋊C₄	—	3	1	no	—
545	C₄×C₂²⋊C₄	—	3	1	no	—
546	C₄×C₂²⋊C₄	—	3	1	no	—
547	C₄×C₂²⋊C₄	—	3	1	no	—
548	C₄×C₂²⋊C₄	—	3	1	no	—
549	C₄×C₂²⋊C₄	—	3	1	no	—
550	C₄×C₂²⋊C₄	—	3	1	no	—
551	C₄×C₂²⋊C₄	—	3	1	no	—
552	C₄×C₂²⋊C₄	—	3	1	no	—
553	C₄×C₂²⋊C₄	—	3	1	no	—
554	C₄×C₂²⋊C₄	—	3	1	no	—
555	#376	—	3	1	no	—
556	C₂×#95	—	3	1	no	—
557	C₂×#95	—	3	1	no	—
558	C₂⁴×C₃	—	2	2	no	—
559	C₂⁴×C₃	—	2	2	no	—
560	C₂⁴×C₃	—	4	1	no	—
561	C₂⁴×C₃	—	4	1	no	—
562	C₂⁴×C₃	—	4	1	no	—
563	C₂⁴×C₃	—	4	1	no	—
564	C₂⁴×C₃	C₂²×C₄	1	4	yes	—
565	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
566	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
567	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
568	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
569	C₂×C₃×Q₈	—	4	1	no	—
570	C₂×C₃×Q₈	—	4	1	no	—
571	C₂×C₃×Q₈	C₂²×C₄	1	4	yes	—
572	C₂×C₃×D₄	—	2	2	no	—
573	C₂×C₃×D₄	—	2	2	no	—
574	C₂×C₃×D₄	—	4	1	no	—
575	C₂×C₃×D₄	—	4	1	no	—
576	C₂×C₃×D₄	—	4	1	no	—
577	C₂×C₃×D₄	—	4	1	no	—
578	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
579	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
580	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
581	C₂²×C₃×C₄	—	2	2	no	—
582	C₂²×C₃×C₄	—	2	2	no	—
583	C₂²×C₃×C₄	—	4	1	no	—
584	C₂²×C₃×C₄	—	4	1	no	—
585	C₂²×C₃×C₄	—	4	1	no	—
586	C₂²×C₃×C₄	—	4	1	no	—
587	C₂²×C₃×C₄	—	4	1	no	—
588	C₂²×C₃×C₄	—	4	1	no	—
589	C₂²×C₃×C₄	—	4	1	no	—
590	C₂²×C₃×C₄	—	4	1	no	—
591	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
592	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
593	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
594	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
595	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
596	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
597	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
598	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
599	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
600	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
601	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
602	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
603	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
604	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
605	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
606	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
607	C₂²×Dic₃	—	2	2	no	—
608	C₂²×Dic₃	—	2	2	no	—
609	C₂²×Dic₃	—	2	2	no	—
610	C₂²×Dic₃	—	2	2	no	—
611	C₂²×Dic₃	—	2	2	no	—
612	C₂²×Dic₃	—	2	2	no	—
613	C₂²×Dic₃	—	4	1	no	—
614	C₂²×Dic₃	—	4	1	no	—
615	C₂²×Dic₃	—	4	1	no	—
616	C₂²×Dic₃	—	4	1	no	—
617	C₂²×Dic₃	—	4	1	no	—
618	C₂²×Dic₃	—	4	1	no	—
619	C₂²×Dic₃	—	4	1	no	—
620	C₂²×Dic₃	—	4	1	no	—
621	C₂²×Dic₃	—	4	1	no	—
622	C₂²×Dic₃	—	4	1	no	—
623	C₂²×Dic₃	—	4	1	no	—
624	C₂²×Dic₃	—	4	1	no	—
625	C₂²×Dic₃	—	4	1	no	—
626	C₂²×Dic₃	—	4	1	no	—
627	C₂²×Dic₃	—	4	1	no	—
628	C₂²×Dic₃	—	4	1	no	—
629	C₂²×Dic₃	—	4	1	no	—
630	C₂²×Dic₃	—	4	1	no	—
631	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
632	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
633	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
634	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
635	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
636	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
637	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
638	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
639	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
640	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
641	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
642	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
643	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
644	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
645	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
646	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
647	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
648	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
649	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
650	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
651	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
652	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
653	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
654	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
655	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
656	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
657	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
658	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
659	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
660	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
661	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
662	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
663	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
664	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
665	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
666	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
667	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
668	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
669	C₃×C₄²	C₂²×C₄	1	4	yes	—
670	C₃×C₄²	C₂²×C₄	1	4	yes	—
671	C₃×C₄²	C₂²×C₄	1	4	yes	—
672	#217	—	2	2	no	—
673	#217	—	2	2	no	—
674	#217	—	2	2	no	—
675	#217	—	2	2	no	—
676	#217	—	2	2	no	—
677	#217	—	2	2	no	—
678	#217	—	4	1	no	—
679	#217	—	4	1	no	—
680	#217	—	4	1	no	—
681	#217	—	4	1	no	—
682	#217	—	4	1	no	—
683	#217	—	4	1	no	—
684	#217	—	4	1	no	—
685	#217	—	4	1	no	—
686	#217	—	4	1	no	—
687	#217	—	4	1	no	—
688	#217	—	4	1	no	—
689	#217	—	4	1	no	—
690	#217	—	4	1	no	—
691	#217	—	4	1	no	—
692	#217	—	4	1	no	—
693	#217	—	4	1	no	—
694	#217	—	4	1	no	—
695	#217	—	4	1	no	—
696	C₄⋊Dic₃	—	2	2	no	—
697	C₄⋊Dic₃	—	2	2	no	—
698	C₄⋊Dic₃	—	2	2	no	—
699	C₄⋊Dic₃	—	2	2	no	—
700	C₄⋊Dic₃	—	4	1	no	—
701	C₄⋊Dic₃	—	4	1	no	—
702	C₄⋊Dic₃	—	4	1	no	—
703	C₄⋊Dic₃	—	4	1	no	—
704	C₄⋊Dic₃	—	4	1	no	—
705	C₄⋊Dic₃	—	4	1	no	—
706	C₄⋊Dic₃	—	4	1	no	—
707	C₄⋊Dic₃	—	4	1	no	—
708	C₄⋊Dic₃	—	4	1	no	—
709	C₄⋊Dic₃	—	4	1	no	—
710	C₄⋊Dic₃	—	4	1	no	—
711	C₄⋊Dic₃	—	4	1	no	—
712	C₄⋊Dic₃	—	4	1	no	—
713	C₄⋊Dic₃	—	4	1	no	—
714	C₄⋊Dic₃	—	4	1	no	—
715	C₄⋊Dic₃	—	4	1	no	—
716	C₄⋊Dic₃	—	4	1	no	—
717	C₄⋊Dic₃	—	4	1	no	—
718	C₄⋊Dic₃	—	4	1	no	—
719	C₄⋊Dic₃	—	4	1	no	—
720	C₄⋊Dic₃	—	4	1	no	—
721	C₄⋊Dic₃	—	4	1	no	—
722	C₄×Dic₃	—	2	2	no	—
723	C₄×Dic₃	—	4	1	no	—
724	C₄×Dic₃	—	4	1	no	—
725	C₄×Dic₃	—	4	1	no	—
726	C₄×Dic₃	—	4	1	no	—
727	C₄×Dic₃	—	4	1	no	—
728	C₄×Dic₃	—	4	1	no	—
729	C₄×Dic₃	—	4	1	no	—
730	C₄×Dic₃	—	4	1	no	—
731	C₄×Dic₃	—	4	1	no	—
732	C₄×Dic₃	—	4	1	no	—
733	C₄×Dic₃	—	4	1	no	—
734	C₄×Dic₃	—	4	1	no	—
735	C₄×Dic₃	—	4	1	no	—
736	C₄×Dic₃	—	4	1	no	—
737	C₄×Dic₃	—	4	1	no	—
738	C₄×Dic₃	—	4	1	no	—
739	C₄×Dic₃	—	4	1	no	—
740	C₂⁵	C₂²×D₃	1	1	yes	characteristic
741	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
742	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
743	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
744	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
745	C₂³×C₄	—	3	1	no	—
746	C₂³×C₄	—	3	1	no	—
747	C₂³×C₄	—	3	1	no	—
748	C₂³×C₄	—	3	1	no	—
749	C₂³×C₄	—	3	1	no	—
750	C₂³×C₄	—	3	1	no	—
751	C₂³×C₄	—	3	1	no	—
752	C₂³×C₄	—	3	1	no	—
753	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
754	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
755	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
756	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
757	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
758	#126	C₂×Dic₃	1	8	yes	complemented
759	#126	C₂×Dic₃	1	8	yes	complemented
760	#124	C₂×Dic₃	1	8	yes	complemented
761	#123	C₂×Dic₃	1	8	yes	complemented
762	#123	C₂×Dic₃	1	8	yes	complemented
763	#123	C₂×Dic₃	1	8	yes	complemented
764	C₂²⋊Q₈	C₂×Dic₃	1	8	yes	complemented
765	C₂²⋊Q₈	C₂×Dic₃	1	8	yes	complemented
766	#120	C₂×Dic₃	1	8	yes	—
767	C₄×Q₈	—	12	2	no	—
768	C₄×D₄	—	12	2	no	—
769	C₄×D₄	—	12	2	no	—
770	C₄×D₄	—	12	2	no	—
771	C₄×D₄	C₂×Dic₃	1	8	yes	complemented
772	C₄×D₄	C₂×Dic₃	1	8	yes	complemented
773	#117	—	12	2	no	—
774	#117	—	12	2	no	—
775	#117	C₂×Dic₃	1	8	yes	complemented
776	#117	C₂×Dic₃	1	8	yes	complemented
777	C₂×C₄⋊C₄	—	3	1	no	—
778	C₂×C₄⋊C₄	—	3	1	no	—
779	C₂×C₄⋊C₄	—	3	1	no	—
780	C₂×C₄⋊C₄	—	3	1	no	—
781	C₂×C₄⋊C₄	—	3	1	no	—
782	C₂×C₄⋊C₄	—	3	1	no	—
783	C₂×C₄⋊C₄	—	3	1	no	—
784	C₂×C₄⋊C₄	—	3	1	no	—
785	C₂×C₄⋊C₄	—	3	1	no	—
786	C₂×C₄⋊C₄	—	3	1	no	—
787	C₂×C₄⋊C₄	—	3	1	no	—
788	C₂×C₄⋊C₄	—	3	1	no	—
789	C₂×C₄⋊C₄	—	3	1	no	—
790	C₂×C₄⋊C₄	—	3	1	no	—
791	C₂×C₄⋊C₄	—	3	1	no	—
792	C₂×C₄⋊C₄	—	3	1	no	—
793	C₂×C₄⋊C₄	—	3	1	no	—
794	C₂×C₄⋊C₄	—	3	1	no	—
795	C₂×C₄⋊C₄	—	3	1	no	—
796	C₂×C₄⋊C₄	—	3	1	no	—
797	C₂×C₄⋊C₄	—	3	1	no	—
798	C₂×C₄⋊C₄	—	3	1	no	—
799	C₂×C₄⋊C₄	—	3	1	no	—
800	C₂×C₄⋊C₄	—	3	1	no	—
801	C₂×C₄⋊C₄	—	3	1	no	—
802	C₂×C₄⋊C₄	—	3	1	no	—
803	C₂×C₄⋊C₄	—	12	2	no	—
804	C₂×C₄⋊C₄	—	12	2	no	—
805	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
806	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
807	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
808	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
809	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
811	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
812	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
813	C₂×C₂²⋊C₄	—	3	1	no	—
814	C₂×C₂²⋊C₄	—	3	1	no	—
815	C₂×C₂²⋊C₄	—	3	1	no	—
816	C₂×C₂²⋊C₄	—	3	1	no	—
817	C₂×C₂²⋊C₄	—	3	1	no	—
818	C₂×C₂²⋊C₄	—	3	1	no	—
819	C₂×C₂²⋊C₄	—	3	1	no	—
820	C₂×C₂²⋊C₄	—	3	1	no	—
821	C₂×C₂²⋊C₄	—	3	1	no	—
822	C₂×C₂²⋊C₄	—	3	1	no	—
823	C₂×C₂²⋊C₄	—	3	1	no	—
824	C₂×C₂²⋊C₄	—	3	1	no	—
825	C₂×C₂²⋊C₄	—	3	1	no	—
826	C₂×C₂²⋊C₄	—	3	1	no	—
827	C₂×C₂²⋊C₄	—	3	1	no	—
828	C₂×C₂²⋊C₄	—	3	1	no	—
829	C₂×C₂²⋊C₄	—	3	1	no	—
830	C₂×C₂²⋊C₄	—	3	1	no	—
831	C₂×C₂²⋊C₄	—	3	1	no	—
832	C₂×C₂²⋊C₄	—	3	1	no	—
833	C₂×C₂²⋊C₄	—	3	1	no	—
834	C₂×C₂²⋊C₄	—	3	1	no	—
835	C₂×C₂²⋊C₄	—	3	1	no	—
836	C₂×C₂²⋊C₄	—	3	1	no	—
837	C₂×C₂²⋊C₄	—	12	2	no	—
838	C₂×C₂²⋊C₄	—	12	2	no	—
839	C₂×C₂²⋊C₄	—	12	2	no	—
840	C₂×C₂²⋊C₄	C₂×Dic₃	1	8	yes	complemented
841	C₂×C₂²⋊C₄	C₂×Dic₃	1	8	yes	complemented
842	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
843	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
844	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
845	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
846	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
847	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
848	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
849	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
850	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
851	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
852	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
853	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
854	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
855	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
856	C₂×C₄²	—	3	1	no	—
857	C₂×C₄²	—	3	1	no	—
858	C₂×C₄²	—	3	1	no	—
859	C₂×C₄²	—	3	1	no	—
860	C₂×C₄²	—	3	1	no	—
861	C₂×C₄²	—	3	1	no	—
862	C₂×C₄²	—	3	1	no	—
863	C₂×C₄²	—	3	1	no	—
864	C₂×C₄²	—	3	1	no	—
865	C₂×C₄²	—	3	1	no	—
866	C₂×C₄²	—	3	1	no	—
867	C₂×C₄²	—	3	1	no	—
868	C₂×C₄²	—	3	1	no	—
869	C₂×C₄²	—	3	1	no	—
870	C₂×C₄²	—	3	1	no	—
871	C₂×C₄²	—	3	1	no	—
872	C₂×C₄²	—	3	1	no	—
873	C₂×C₄²	—	3	1	no	—
874	C₂×C₄²	—	12	2	no	—
875	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
876	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
877	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
878	#95	—	3	1	no	—
879	#95	—	3	1	no	—
880	#95	—	3	1	no	—
881	#95	—	3	1	no	—
882	#95	—	3	1	no	—
883	#95	—	3	1	no	—
884	#95	—	3	1	no	—
885	#95	—	3	1	no	—
886	#95	—	3	1	no	—
887	#95	—	3	1	no	—
888	#95	—	3	1	no	—
889	#95	—	3	1	no	—
890	#95	—	3	1	no	—
891	#95	—	3	1	no	—
892	#95	—	3	1	no	—
893	#95	—	3	1	no	—
894	#95	—	3	1	no	—
895	#95	—	3	1	no	—
896	#95	—	3	1	no	—
897	#95	—	3	1	no	—
898	#95	—	3	1	no	—
899	#95	—	3	1	no	—
900	#95	—	3	1	no	—
901	#95	—	3	1	no	—
902	#95	—	3	1	no	—
903	#95	—	3	1	no	—
904	#95	—	3	1	no	—
905	#95	—	3	1	no	—
906	#95	—	3	1	no	—
907	#95	—	3	1	no	—
908	#95	—	3	1	no	—
909	#95	—	3	1	no	—
910	#95	—	3	1	no	—
911	#95	—	3	1	no	—
912	#95	—	3	1	no	—
913	#95	—	3	1	no	—
914	#95	—	3	1	no	—
915	#95	—	3	1	no	—
916	#95	—	3	1	no	—
917	#95	—	3	1	no	—
918	#95	—	3	1	no	—
919	#95	—	3	1	no	—
920	#95	—	3	1	no	—
921	#95	—	3	1	no	—
922	C₂³×C₃	—	2	1	no	—
923	C₂³×C₃	—	2	1	no	—
924	C₂³×C₃	—	2	1	no	—
925	C₂³×C₃	—	2	1	no	—
926	C₂³×C₃	—	2	1	no	—
927	C₂³×C₃	—	2	1	no	—
928	C₂³×C₃	—	2	1	no	—
929	C₂³×C₃	—	2	1	no	—
930	C₂³×C₃	—	2	1	no	—
931	C₂³×C₃	—	2	1	no	—
932	C₂³×C₃	—	2	1	no	—
933	C₂³×C₃	—	2	1	no	—
934	C₂³×C₃	—	2	1	no	—
935	C₂³×C₃	—	2	1	no	—
936	C₂³×C₃	—	2	1	no	—
937	C₂³×C₃	—	2	1	no	—
938	C₂³×C₃	—	2	1	no	—
939	C₂³×C₃	—	2	1	no	—
940	C₂³×C₃	—	2	1	no	—
941	C₂³×C₃	—	2	1	no	—
942	C₂³×C₃	—	2	1	no	—
943	C₂³×C₃	—	2	1	no	—
944	C₂³×C₃	—	2	8	no	—
945	C₂³×C₃	—	4	4	no	—
946	C₂³×C₃	—	4	4	no	—
947	C₂³×C₃	—	8	2	no	—
948	C₂³×C₃	—	8	2	no	—
949	C₂³×C₃	—	8	2	no	—
950	C₂³×C₃	—	8	2	no	—
951	C₂³×C₃	C₂³×C₄	1	2	yes	—
952	C₂³×C₃	C₂³×C₄	1	2	yes	—
953	C₂³×C₃	C₂³×C₄	1	2	yes	—
954	C₂³×C₃	C₂³×C₄	1	2	yes	—
955	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
956	C₂³×C₃	2₋¹⁺⁴	1	2	yes	—
957	C₂³×C₃	C₂⁵	1	1	yes	characteristic
958	C₃×Q₈	—	4	4	no	—
959	C₃×D₄	—	2	8	no	—
960	C₃×D₄	—	4	4	no	—
961	C₃×D₄	—	4	4	no	—
962	C₂×C₃×C₄	—	2	8	no	—
963	C₂×C₃×C₄	—	2	1	no	—
964	C₂×C₃×C₄	—	2	1	no	—
965	C₂×C₃×C₄	—	2	1	no	—
966	C₂×C₃×C₄	—	2	1	no	—
967	C₂×C₃×C₄	—	2	1	no	—
968	C₂×C₃×C₄	—	2	1	no	—
969	C₂×C₃×C₄	—	2	1	no	—
970	C₂×C₃×C₄	—	2	1	no	—
971	C₂×C₃×C₄	—	2	1	no	—
972	C₂×C₃×C₄	—	2	1	no	—
973	C₂×C₃×C₄	—	2	1	no	—
974	C₂×C₃×C₄	—	2	1	no	—
975	C₂×C₃×C₄	—	2	1	no	—
976	C₂×C₃×C₄	—	2	1	no	—
977	C₂×C₃×C₄	—	2	1	no	—
978	C₂×C₃×C₄	—	2	1	no	—
979	C₂×C₃×C₄	—	2	1	no	—
980	C₂×C₃×C₄	—	2	1	no	—
981	C₂×C₃×C₄	—	2	1	no	—
982	C₂×C₃×C₄	—	2	1	no	—
983	C₂×C₃×C₄	—	2	1	no	—
984	C₂×C₃×C₄	—	2	1	no	—
985	C₂×C₃×C₄	—	4	4	no	—
986	C₂×C₃×C₄	—	4	4	no	—
987	C₂×C₃×C₄	—	4	4	no	—
988	C₂×C₃×C₄	—	4	4	no	—
989	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
990	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
991	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
992	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
993	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
994	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
995	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
996	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
997	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
998	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
999	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1000	C₂×Dic₃	—	2	1	no	—
1001	C₂×Dic₃	—	2	1	no	—
1002	C₂×Dic₃	—	2	1	no	—
1003	C₂×Dic₃	—	2	1	no	—
1004	C₂×Dic₃	—	2	1	no	—
1005	C₂×Dic₃	—	2	1	no	—
1006	C₂×Dic₃	—	2	1	no	—
1007	C₂×Dic₃	—	2	1	no	—
1008	C₂×Dic₃	—	2	1	no	—
1009	C₂×Dic₃	—	2	1	no	—
1010	C₂×Dic₃	—	2	1	no	—
1011	C₂×Dic₃	—	2	1	no	—
1012	C₂×Dic₃	—	2	1	no	—
1013	C₂×Dic₃	—	2	1	no	—
1014	C₂×Dic₃	—	2	1	no	—
1015	C₂×Dic₃	—	2	1	no	—
1016	C₂×Dic₃	—	2	1	no	—
1017	C₂×Dic₃	—	2	1	no	—
1018	C₂×Dic₃	—	2	1	no	—
1019	C₂×Dic₃	—	2	1	no	—
1020	C₂×Dic₃	—	2	1	no	—
1021	C₂×Dic₃	—	2	1	no	—
1022	C₂×Dic₃	—	2	1	no	—
1023	C₂×Dic₃	—	2	1	no	—
1024	C₂×Dic₃	—	2	1	no	—
1025	C₂×Dic₃	—	2	1	no	—
1026	C₂×Dic₃	—	2	1	no	—
1027	C₂×Dic₃	—	2	1	no	—
1028	C₂×Dic₃	—	2	1	no	—
1029	C₂×Dic₃	—	2	1	no	—
1030	C₂×Dic₃	—	2	1	no	—
1031	C₂×Dic₃	—	2	1	no	—
1032	C₂×Dic₃	—	2	1	no	—
1033	C₂×Dic₃	—	2	1	no	—
1034	C₂×Dic₃	—	2	1	no	—
1035	C₂×Dic₃	—	2	1	no	—
1036	C₂×Dic₃	—	2	1	no	—
1037	C₂×Dic₃	—	2	1	no	—
1038	C₂×Dic₃	—	2	1	no	—
1039	C₂×Dic₃	—	2	1	no	—
1040	C₂×Dic₃	—	2	1	no	—
1041	C₂×Dic₃	—	2	1	no	—
1042	C₂×Dic₃	—	2	1	no	—
1043	C₂×Dic₃	—	2	1	no	—
1044	C₂×Dic₃	—	2	1	no	—
1045	C₂×Dic₃	—	2	1	no	—
1046	C₂×Dic₃	—	2	1	no	—
1047	C₂×Dic₃	—	4	4	no	—
1048	C₂×Dic₃	—	4	4	no	—
1049	C₂×Dic₃	—	8	2	no	—
1050	C₂×Dic₃	—	8	2	no	—
1051	C₂×Dic₃	—	8	2	no	—
1052	C₂×Dic₃	—	8	2	no	—
1053	C₂×Dic₃	—	8	2	no	—
1054	C₂×Dic₃	—	8	2	no	—
1055	C₂×Dic₃	H(5,𝔽₂)	1	2	yes	—
1056	C₂⁴	—	2	2	no	—
1057	C₂⁴	—	2	2	no	—
1058	C₂⁴	—	4	1	no	—
1059	C₂⁴	—	4	1	no	—
1060	C₂⁴	—	4	1	no	—
1061	C₂⁴	—	4	1	no	—
1062	C₂⁴	C₂²×Dic₃	1	4	yes	—
1063	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1064	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1065	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1066	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1067	C₂×Q₈	—	4	1	no	—
1068	C₂×Q₈	—	4	1	no	—
1069	C₂×Q₈	C₂²×Dic₃	1	4	yes	—
1070	C₂×D₄	—	2	2	no	—
1071	C₂×D₄	—	2	2	no	—
1072	C₂×D₄	—	4	1	no	—
1073	C₂×D₄	—	4	1	no	—
1074	C₂×D₄	—	4	1	no	—
1075	C₂×D₄	—	4	1	no	—
1076	C₂×D₄	C₂²×Dic₃	1	4	yes	—
1077	C₂×D₄	C₂²×Dic₃	1	4	yes	—
1078	C₂×D₄	C₂²×Dic₃	1	4	yes	—
1079	C₂²×C₄	—	2	2	no	—
1080	C₂²×C₄	—	2	2	no	—
1081	C₂²×C₄	—	3	1	no	—
1082	C₂²×C₄	—	3	1	no	—
1083	C₂²×C₄	—	3	1	no	—
1084	C₂²×C₄	—	3	1	no	—
1085	C₂²×C₄	—	3	1	no	—
1086	C₂²×C₄	—	3	1	no	—
1087	C₂²×C₄	—	3	1	no	—
1088	C₂²×C₄	—	3	1	no	—
1089	C₂²×C₄	—	3	1	no	—
1090	C₂²×C₄	—	3	1	no	—
1091	C₂²×C₄	—	3	1	no	—
1092	C₂²×C₄	—	3	1	no	—
1093	C₂²×C₄	—	3	1	no	—
1094	C₂²×C₄	—	3	1	no	—
1095	C₂²×C₄	—	3	1	no	—
1096	C₂²×C₄	—	3	1	no	—
1097	C₂²×C₄	—	4	1	no	—
1098	C₂²×C₄	—	4	1	no	—
1099	C₂²×C₄	—	4	1	no	—
1100	C₂²×C₄	—	4	1	no	—
1101	C₂²×C₄	—	4	1	no	—
1102	C₂²×C₄	—	4	1	no	—
1103	C₂²×C₄	—	4	1	no	—
1104	C₂²×C₄	—	4	1	no	—
1105	C₂²×C₄	—	6	2	no	—
1106	C₂²×C₄	—	6	2	no	—
1107	C₂²×C₄	—	6	2	no	—
1108	C₂²×C₄	—	6	2	no	—
1109	C₂²×C₄	—	6	2	no	—
1110	C₂²×C₄	—	6	2	no	—
1111	C₂²×C₄	—	12	1	no	—
1112	C₂²×C₄	—	12	1	no	—
1113	C₂²×C₄	—	12	1	no	—
1114	C₂²×C₄	—	12	1	no	—
1115	C₂²×C₄	—	12	1	no	—
1116	C₂²×C₄	—	12	1	no	—
1117	C₂²×C₄	—	12	1	no	—
1118	C₂²×C₄	—	12	1	no	—
1119	C₂²×C₄	—	12	1	no	—
1120	C₂²×C₄	—	12	1	no	—
1121	C₂²×C₄	—	12	1	no	—
1122	C₂²×C₄	—	12	1	no	—
1123	C₂²×C₄	—	12	1	no	—
1124	C₂²×C₄	—	12	1	no	—
1125	C₂²×C₄	—	12	1	no	—
1126	C₂²×C₄	—	12	1	no	—
1127	C₂²×C₄	—	12	1	no	—
1128	C₂²×C₄	—	12	1	no	—
1129	C₂²×C₄	C₂²×Dic₃	1	4	yes	—
1130	C₂²×C₄	C₂²×Dic₃	1	4	yes	—
1131	C₂²×C₄	C₂²×Dic₃	1	4	yes	—
1132	C₂²×C₄	C₂²×Dic₃	1	4	yes	—
1133	C₂²×C₄	C₂²×Dic₃	1	4	yes	—
1134	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1135	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1145	C₄⋊C₄	—	6	2	no	—
1146	C₄⋊C₄	—	6	2	no	—
1147	C₄⋊C₄	—	6	2	no	—
1148	C₄⋊C₄	—	6	2	no	—
1149	C₄⋊C₄	—	12	1	no	—
1150	C₄⋊C₄	—	12	1	no	—
1151	C₄⋊C₄	—	12	1	no	—
1152	C₄⋊C₄	—	12	1	no	—
1153	C₄⋊C₄	—	12	1	no	—
1154	C₄⋊C₄	—	12	1	no	—
1155	C₄⋊C₄	—	12	1	no	—
1156	C₄⋊C₄	—	12	1	no	—
1157	C₄⋊C₄	—	12	1	no	—
1158	C₄⋊C₄	—	12	1	no	—
1159	C₄⋊C₄	—	12	1	no	—
1160	C₄⋊C₄	—	12	1	no	—
1161	C₄⋊C₄	—	12	1	no	—
1162	C₄⋊C₄	—	12	1	no	—
1163	C₄⋊C₄	—	12	1	no	—
1164	C₄⋊C₄	—	12	1	no	—
1165	C₄⋊C₄	—	12	1	no	—
1166	C₄⋊C₄	—	12	1	no	—
1167	C₄⋊C₄	—	12	1	no	—
1168	C₄⋊C₄	—	12	1	no	—
1169	C₄⋊C₄	—	12	1	no	—
1170	C₄⋊C₄	—	12	1	no	—
1171	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1172	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1173	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1174	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1175	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1176	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1177	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1178	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1179	C₂²⋊C₄	—	6	2	no	—
1180	C₂²⋊C₄	—	6	2	no	—
1181	C₂²⋊C₄	—	6	2	no	—
1182	C₂²⋊C₄	—	6	2	no	—
1183	C₂²⋊C₄	—	6	2	no	—
1184	C₂²⋊C₄	—	6	2	no	—
1185	C₂²⋊C₄	—	12	1	no	—
1186	C₂²⋊C₄	—	12	1	no	—
1187	C₂²⋊C₄	—	12	1	no	—
1188	C₂²⋊C₄	—	12	1	no	—
1189	C₂²⋊C₄	—	12	1	no	—
1190	C₂²⋊C₄	—	12	1	no	—
1191	C₂²⋊C₄	—	12	1	no	—
1192	C₂²⋊C₄	—	12	1	no	—
1193	C₂²⋊C₄	—	12	1	no	—
1194	C₂²⋊C₄	—	12	1	no	—
1195	C₂²⋊C₄	—	12	1	no	—
1196	C₂²⋊C₄	—	12	1	no	—
1197	C₂²⋊C₄	—	12	1	no	—
1198	C₂²⋊C₄	—	12	1	no	—
1199	C₂²⋊C₄	—	12	1	no	—
1200	C₂²⋊C₄	—	12	1	no	—
1201	C₂²⋊C₄	—	12	1	no	—
1202	C₂²⋊C₄	—	12	1	no	—
1203	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1204	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1205	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1206	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1207	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1208	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1209	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1210	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1211	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1212	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1213	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1214	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1215	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1216	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1217	C₄²	—	6	2	no	—
1218	C₄²	—	12	1	no	—
1219	C₄²	—	12	1	no	—
1220	C₄²	—	12	1	no	—
1221	C₄²	—	12	1	no	—
1222	C₄²	—	12	1	no	—
1223	C₄²	—	12	1	no	—
1224	C₄²	—	12	1	no	—
1225	C₄²	—	12	1	no	—
1226	C₄²	—	12	1	no	—
1227	C₄²	—	12	1	no	—
1228	C₄²	—	12	1	no	—
1229	C₄²	—	12	1	no	—
1230	C₄²	—	12	1	no	—
1231	C₄²	—	12	1	no	—
1232	C₄²	—	12	1	no	—
1233	C₄²	—	12	1	no	—
1234	C₄²	—	12	1	no	—
1235	C₄²	C₂²×Dic₃	1	4	yes	—
1236	C₄²	C₂²×Dic₃	1	4	yes	—
1237	C₄²	C₂²×Dic₃	1	4	yes	—
1238	C₂²×C₃	—	2	2	no	—
1239	C₂²×C₃	—	2	2	no	—
1240	C₂²×C₃	—	2	2	no	—
1241	C₂²×C₃	—	2	2	no	—
1242	C₂²×C₃	—	2	2	no	—
1243	C₂²×C₃	—	2	2	no	—
1244	C₂²×C₃	—	2	2	no	—
1245	C₂²×C₃	—	2	2	no	—
1246	C₂²×C₃	—	2	2	no	—
1247	C₂²×C₃	—	2	2	no	—
1248	C₂²×C₃	—	2	2	no	—
1249	C₂²×C₃	—	2	2	no	—
1250	C₂²×C₃	—	2	2	no	—
1251	C₂²×C₃	—	2	2	no	—
1252	C₂²×C₃	—	2	2	no	—
1253	C₂²×C₃	—	4	1	no	—
1254	C₂²×C₃	—	4	1	no	—
1255	C₂²×C₃	—	4	1	no	—
1256	C₂²×C₃	—	4	1	no	—
1257	C₂²×C₃	—	4	1	no	—
1258	C₂²×C₃	—	4	1	no	—
1259	C₂²×C₃	—	4	1	no	—
1260	C₂²×C₃	—	4	1	no	—
1261	C₂²×C₃	—	4	1	no	—
1262	C₂²×C₃	—	4	1	no	—
1263	C₂²×C₃	—	4	1	no	—
1264	C₂²×C₃	—	4	1	no	—
1265	C₂²×C₃	—	8	8	no	—
1266	C₂²×C₃	#520	1	4	yes	—
1267	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1268	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1269	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1270	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1271	C₂²×C₃	#585	1	1	yes	characteristic
1272	C₂²×C₃	#585	1	1	yes	characteristic
1273	C₂²×C₃	#585	1	1	yes	characteristic
1274	C₃×C₄	—	2	2	no	—
1275	C₃×C₄	—	2	2	no	—
1276	C₃×C₄	—	2	2	no	—
1277	C₃×C₄	—	2	2	no	—
1278	C₃×C₄	—	2	2	no	—
1279	C₃×C₄	—	2	2	no	—
1280	C₃×C₄	—	2	2	no	—
1281	C₃×C₄	—	2	2	no	—
1282	C₃×C₄	—	2	2	no	—
1283	C₃×C₄	—	2	2	no	—
1284	C₃×C₄	—	2	2	no	—
1285	Dic₃	—	2	2	no	—
1286	Dic₃	—	4	1	no	—
1287	Dic₃	—	4	1	no	—
1288	Dic₃	—	4	1	no	—
1289	Dic₃	—	4	1	no	—
1290	Dic₃	—	4	1	no	—
1291	Dic₃	—	4	1	no	—
1292	Dic₃	—	4	1	no	—
1293	Dic₃	—	4	1	no	—
1294	Dic₃	—	4	1	no	—
1295	Dic₃	—	4	1	no	—
1296	Dic₃	—	4	1	no	—
1297	Dic₃	—	4	1	no	—
1298	Dic₃	—	4	1	no	—
1299	Dic₃	—	4	1	no	—
1300	Dic₃	—	4	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	2	1	no	—
1309	C₂³	—	2	1	no	—
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	8	no	—
1324	C₂³	—	4	4	no	—
1325	C₂³	—	4	4	no	—
1326	C₂³	—	8	2	no	—
1327	C₂³	—	8	2	no	—
1328	C₂³	—	8	2	no	—
1329	C₂³	—	8	2	no	—
1330	C₂³	#1009	1	2	yes	—
1331	C₂³	#1010	1	2	yes	—
1332	C₂³	C₂³×Dic₃	1	2	yes	—
1333	C₂³	C₂³×Dic₃	1	2	yes	—
1334	C₂³	C₂³×Dic₃	1	2	yes	—
1335	C₂³	C₂³×Dic₃	1	2	yes	—
1336	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1337	Q₈	—	4	4	no	—
1338	D₄	—	2	8	no	—
1339	D₄	—	4	4	no	—
1340	D₄	—	4	4	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	8	no	—
1364	C₂×C₄	—	3	2	no	—
1365	C₂×C₄	—	4	4	no	—
1366	C₂×C₄	—	4	4	no	—
1367	C₂×C₄	—	4	4	no	—
1368	C₂×C₄	—	4	4	no	—
1369	C₂×C₄	—	6	1	no	—
1370	C₂×C₄	—	6	1	no	—
1371	C₂×C₄	—	6	1	no	—
1372	C₂×C₄	—	6	1	no	—
1373	C₂×C₄	—	6	1	no	—
1374	C₂×C₄	—	6	1	no	—
1375	C₂×C₄	—	6	1	no	—
1376	C₂×C₄	—	6	1	no	—
1377	C₂×C₄	—	6	1	no	—
1378	C₂×C₄	—	6	1	no	—
1379	C₂×C₄	—	6	1	no	—
1380	C₂×C₄	—	6	1	no	—
1381	C₂×C₄	—	6	1	no	—
1382	C₂×C₄	—	6	1	no	—
1383	C₂×C₄	—	6	1	no	—
1384	C₂×C₄	—	6	1	no	—
1385	C₂×C₄	—	6	1	no	—
1386	C₂×C₄	—	6	1	no	—
1387	C₂×C₄	—	6	1	no	—
1388	C₂×C₄	—	6	1	no	—
1389	C₂×C₄	—	6	1	no	—
1390	C₂×C₄	—	6	1	no	—
1391	C₂×C₄	—	6	1	no	—
1392	C₂×C₄	—	6	1	no	—
1393	C₂×C₄	—	6	1	no	—
1394	C₂×C₄	—	6	1	no	—
1395	C₂×C₄	—	6	1	no	—
1396	C₂×C₄	—	6	1	no	—
1397	C₂×C₄	—	6	1	no	—
1398	C₂×C₄	—	6	1	no	—
1399	C₂×C₄	—	6	1	no	—
1400	C₂×C₄	—	6	1	no	—
1401	C₂×C₄	—	6	1	no	—
1402	C₂×C₄	—	6	1	no	—
1403	C₂×C₄	—	6	1	no	—
1404	C₂×C₄	—	6	1	no	—
1405	C₂×C₄	—	6	1	no	—
1406	C₂×C₄	—	6	1	no	—
1407	C₂×C₄	—	6	1	no	—
1408	C₂×C₄	—	6	1	no	—
1409	C₂×C₄	—	6	1	no	—
1410	C₂×C₄	—	6	1	no	—
1411	C₂×C₄	—	6	1	no	—
1412	C₂×C₄	—	6	1	no	—
1413	C₂×C₄	—	6	1	no	—
1414	C₂×C₄	—	6	1	no	—
1415	C₂×C₄	—	6	1	no	—
1416	C₂×C₄	—	12	4	no	—
1417	C₂×C₄	—	12	4	no	—
1418	C₂×C₄	—	24	2	no	—
1419	C₂×C₄	—	24	2	no	—
1420	C₂×C₄	—	24	2	no	—
1421	C₂×C₄	—	24	2	no	—
1422	C₂×C₄	—	24	2	no	—
1423	C₂×C₄	—	24	2	no	—
1424	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1425	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1426	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1427	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1428	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1429	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1430	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1431	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1432	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1433	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1434	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1435	C₂×C₃	—	2	4	no	—
1436	C₂×C₃	—	4	2	no	—
1437	C₂×C₃	—	4	2	no	—
1438	C₂×C₃	—	4	2	no	—
1439	C₂×C₃	C₂×#520	1	1	yes	characteristic
1440	C₂×C₃	#3428	1	1	yes	characteristic
1441	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1442	C₂×C₃	#3533	1	1	yes	characteristic
1443	C₂×C₃	#3534	1	1	yes	characteristic
1444	C₂×C₃	#3561	1	1	yes	characteristic
1445	C₂×C₃	#3564	1	1	yes	characteristic
1446	C₂²	—	2	2	no	—
1447	C₂²	—	2	2	no	—
1448	C₂²	—	2	2	no	—
1449	C₂²	—	2	2	no	—
1450	C₂²	—	2	2	no	—
1451	C₂²	—	2	2	no	—
1452	C₂²	—	2	2	no	—
1453	C₂²	—	2	2	no	—
1454	C₂²	—	2	2	no	—
1455	C₂²	—	2	2	no	—
1456	C₂²	—	2	2	no	—
1457	C₂²	—	2	2	no	—
1458	C₂²	—	2	2	no	—
1459	C₂²	—	2	2	no	—
1460	C₂²	—	2	2	no	—
1461	C₂²	—	4	1	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	8	8	no	—
1474	C₂²	#5827	1	4	yes	—
1475	C₂²	C₂×#1009	1	1	yes	characteristic
1476	C₂²	C₂×#1010	1	1	yes	characteristic
1477	C₂²	#5964	1	1	yes	characteristic
1478	C₂²	#5964	1	1	yes	characteristic
1479	C₂²	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1480	C₂²	#5966	1	1	yes	characteristic
1481	C₂²	C₂⁴×Dic₃	1	1	yes	characteristic
1482	C₄	—	2	2	no	—
1483	C₄	—	2	2	no	—
1484	C₄	—	2	2	no	—
1485	C₄	—	2	2	no	—
1486	C₄	—	2	2	no	—
1487	C₄	—	2	2	no	—
1488	C₄	—	2	2	no	—
1489	C₄	—	2	2	no	—
1490	C₄	—	2	2	no	—
1491	C₄	—	2	2	no	—
1492	C₄	—	2	2	no	—
1493	C₄	—	6	2	no	—
1494	C₄	—	12	1	no	—
1495	C₄	—	12	1	no	—
1496	C₄	—	12	1	no	—
1497	C₄	—	12	1	no	—
1498	C₄	—	12	1	no	—
1499	C₄	—	12	1	no	—
1500	C₄	—	12	1	no	—
1501	C₄	—	12	1	no	—
1502	C₄	—	12	1	no	—
1503	C₄	—	12	1	no	—
1504	C₄	—	12	1	no	—
1505	C₄	—	12	1	no	—
1506	C₄	—	12	1	no	—
1507	C₄	—	12	1	no	—
1508	C₄	—	12	1	no	—
1509	C₃	#34458	1	1	yes	characteristic, complemented, Sylow
1510	C₂	—	2	4	no	—
1511	C₂	—	4	2	no	—
1512	C₂	—	4	2	no	—
1513	C₂	—	4	2	no	—
1514	C₂	#86801	1	1	yes	characteristic
1515	C₂	#86808	1	1	yes	characteristic
1516	C₂	#86810	1	1	yes	characteristic
1517	C₂	#86819	1	1	yes	characteristic
1518	C₂	C₂×#5827	1	1	yes	characteristic
1519	C₂	#87260	1	1	yes	characteristic
1520	C₂	Dic₃×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator	C₂²×C₃	C₂⁴×C₄
Fitting	C₂×C₃×#551	C₂
socle, cosocle	C₂³×C₃	C₂⁵
prime radical	C₂×C₃×#120	C₂²
hypercenter	C₂×#551	D₃
hypocenter	C₃	#34458
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ C₂×#551

Complements

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

N	H ≅ G/N	type
2. #83076	C₂	semidirect
3. #83075	C₂	semidirect
4. #83074	C₂	semidirect
5. #83074	C₂	semidirect
6. #82955	C₂	semidirect
7. #82954	C₂	semidirect
8. #82840	C₂	semidirect
9. #82840	C₂	semidirect
10. #82838	C₂	semidirect
11. #82837	C₂	semidirect
12. #82836	C₂	semidirect
13. Dic₃×#123	C₂	semidirect
14. #82750	C₂	semidirect
15. #82747	C₂	semidirect
16. #82745	C₂	semidirect
17. #82744	C₂	semidirect
20. #82335	C₂	semidirect
21. D₄×C₄⋊Dic₃	C₂	semidirect
22. #82325	C₂	semidirect
23. #82324	C₂	semidirect
24. #82240	C₂	semidirect
25. #82237	C₂	semidirect
26. #82231	C₂	semidirect
27. #82227	C₂	semidirect
28. #82097	C₂	semidirect
29. #82097	C₂	semidirect
30. #82094	C₂	semidirect
31. C₂×#4951	C₂	semidirect
33. C₃×#551	C₄	semidirect
52. C₂×Q₈×Dic₃	C₂²	semidirect
59. C₂²×C₄⋊Dic₃	C₂²	semidirect
62. #5229	C₂²	semidirect
63. #5229	C₂²	semidirect
64. #5229	C₂²	semidirect
80. #5212	C₂²	semidirect
81. #5212	C₂²	semidirect
84. #5211	C₂²	semidirect
89. #4984	C₂²	semidirect
90. #4984	C₂²	semidirect
91. #4984	C₂²	semidirect
92. #4984	C₂²	semidirect
93. #4984	C₂²	semidirect
94. #4984	C₂²	semidirect
95. #4984	C₂²	semidirect
96. #4984	C₂²	semidirect
97. #4984	C₂²	semidirect
98. #4984	C₂²	semidirect
99. #4984	C₂²	semidirect
100. #4984	C₂²	semidirect
101. #4980	C₂²	semidirect
102. #4980	C₂²	semidirect
103. #4980	C₂²	semidirect
104. #4980	C₂²	semidirect
105. #4980	C₂²	semidirect
106. #4980	C₂²	semidirect
107. #4980	C₂²	semidirect
108. #4980	C₂²	semidirect
109. #4980	C₂²	semidirect
110. #4980	C₂²	semidirect
111. #4980	C₂²	semidirect
112. #4980	C₂²	semidirect
113. #4980	C₂²	semidirect
114. #4980	C₂²	semidirect
115. #4980	C₂²	semidirect
116. #4980	C₂²	semidirect
117. Dic₃×C₄⋊C₄	C₂²	semidirect
118. Dic₃×C₄⋊C₄	C₂²	semidirect
119. Dic₃×C₄⋊C₄	C₂²	semidirect
120. Dic₃×C₄⋊C₄	C₂²	semidirect
143. #4951	C₂²	semidirect
144. #4951	C₂²	semidirect
145. #4951	C₂²	semidirect
146. #4951	C₂²	semidirect
147. #4951	C₂²	semidirect
148. #4951	C₂²	semidirect
164. #4950	C₂²	semidirect
165. #4950	C₂²	semidirect
166. #4950	C₂²	semidirect
174. Dic₃×C₂²⋊C₄	C₂²	semidirect
175. Dic₃×C₂²⋊C₄	C₂²	semidirect
176. Dic₃×C₂²⋊C₄	C₂²	semidirect
177. #4937	C₂²	semidirect
178. #4937	C₂²	semidirect
179. #4936	C₂²	semidirect
180. #4936	C₂²	semidirect
181. #4935	C₂²	semidirect
182. C₄×C₄⋊Dic₃	C₂²	semidirect
183. C₄×C₄⋊Dic₃	C₂²	semidirect
184. C₄×C₄⋊Dic₃	C₂²	semidirect
185. C₄×C₄⋊Dic₃	C₂²	semidirect
186. C₄×C₄⋊Dic₃	C₂²	semidirect
187. C₄×C₄⋊Dic₃	C₂²	semidirect
188. #4932	C₂²	semidirect
238. C₃×#126	C₂×C₄	semidirect
239. C₃×#126	C₂×C₄	semidirect
240. C₃×#124	C₂×C₄	semidirect
241. C₃×#123	C₂×C₄	semidirect
242. C₃×#123	C₂×C₄	semidirect
243. C₃×#123	C₂×C₄	semidirect
244. C₃×C₂²⋊Q₈	C₂×C₄	semidirect
245. C₃×C₂²⋊Q₈	C₂×C₄	semidirect
247. C₃×C₄×D₄	C₂×C₄	semidirect
248. C₃×C₄×D₄	C₂×C₄	semidirect
249. C₃×#117	C₂×C₄	semidirect
250. C₃×#117	C₂×C₄	semidirect
259. C₂×C₃×C₂²⋊C₄	C₂×C₄	semidirect
260. C₂×C₃×C₂²⋊C₄	C₂×C₄	semidirect
402. #551	Dic₃	semidirect
758. #126	C₂×Dic₃	semidirect
759. #126	C₂×Dic₃	semidirect
760. #124	C₂×Dic₃	semidirect
761. #123	C₂×Dic₃	semidirect
762. #123	C₂×Dic₃	semidirect
763. #123	C₂×Dic₃	semidirect
764. C₂²⋊Q₈	C₂×Dic₃	semidirect
765. C₂²⋊Q₈	C₂×Dic₃	semidirect
771. C₄×D₄	C₂×Dic₃	semidirect
772. C₄×D₄	C₂×Dic₃	semidirect
775. #117	C₂×Dic₃	semidirect
776. #117	C₂×Dic₃	semidirect
840. C₂×C₂²⋊C₄	C₂×Dic₃	semidirect
841. C₂×C₂²⋊C₄	C₂×Dic₃	semidirect
1509. C₃	#34458	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#551	2
#83076	2
#83075	2
#83074	2
#82955	2
#82954	2
#82840	2
#82838	2
#82837	2
#82836	2
Dic₃×#123	2
#82750	2
#82747	2
#82745	2
#82744	2
#82579	2
#82578	2
#82335	2
D₄×C₄⋊Dic₃	2
#82325	2
#82324	2
#82240	2
#82237	2
#82231	2
#82227	2
#82097	2
#82094	2
C₂×#4951	2
#34458	3