Subgroups — #11042307

Order 768.

1720 conjugacy classes of subgroups.

The subgroup lattice has 1438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2717	C₂	1	1	yes	maximal, characteristic, complemented
2	#83005	C₂	1	1	yes	maximal, characteristic
3	#82955	C₂	1	1	yes	maximal, characteristic, complemented
4	#82908	C₂	1	1	yes	maximal, characteristic
5	Dic₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
6	#77676	C₂	1	1	yes	maximal, characteristic, complemented
7	#77639	C₂	1	1	yes	maximal, characteristic, complemented
8	#77629	C₂	1	1	yes	maximal, characteristic, complemented
9	#77559	C₂	1	1	yes	maximal, characteristic, complemented
10	#77500	C₂	1	1	yes	maximal, characteristic, complemented
11	#77498	C₂	1	1	yes	maximal, characteristic, complemented
12	#77481	C₂	1	1	yes	maximal, characteristic, complemented
13	#77471	C₂	1	1	yes	maximal, characteristic, complemented
14	#77207	C₂	1	1	yes	maximal, characteristic, complemented
15	#77196	C₂	1	1	yes	maximal, characteristic, complemented
16	#77190	C₂	1	1	yes	maximal, characteristic, complemented
17	#77181	C₂	1	1	yes	maximal, characteristic, complemented
18	#75121	C₂	1	1	yes	maximal, characteristic, complemented
19	#75080	C₂	1	1	yes	maximal, characteristic, complemented
20	#75064	C₂	1	1	yes	maximal, characteristic, complemented
21	#74954	C₂	1	1	yes	maximal, characteristic, complemented
22	#74879	C₂	1	1	yes	maximal, characteristic
23	#74857	C₂	1	1	yes	maximal, characteristic, complemented
24	#74647	C₂	1	1	yes	maximal, characteristic, complemented
25	#74587	C₂	1	1	yes	maximal, characteristic, complemented
26	#74552	C₂	1	1	yes	maximal, characteristic, complemented
27	#74377	C₂	1	1	yes	maximal, characteristic, complemented
28	#74004	C₂	1	1	yes	maximal, characteristic, complemented
29	#73931	C₂	1	1	yes	maximal, characteristic, complemented
30	#73921	C₂	1	1	yes	maximal, characteristic, complemented
31	#73909	C₂	1	1	yes	maximal, characteristic, complemented
32	#38354	—	3	1	no	maximal, Sylow
33	C₂×C₃×#124	C₂²	1	1	yes	characteristic
34	C₂×C₃×#123	C₂²	1	1	yes	characteristic
35	C₂×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
36	C₂×#937	C₂²	1	1	yes	characteristic
37	C₂×D₄×Dic₃	C₂²	1	1	yes	characteristic
38	C₂²×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×C₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#898	C₂²	1	1	yes	characteristic
41	C₂×#898	C₂²	1	1	yes	characteristic
42	C₂×#892	C₂²	1	1	yes	characteristic
43	C₂×#67⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	C₃×#397	C₂²	1	1	yes	characteristic
46	C₃×#397	C₂²	1	1	yes	characteristic
47	C₃×#397	C₂²	1	1	yes	characteristic, complemented
48	C₃×#397	C₂²	1	1	yes	characteristic, complemented
49	C₃×#395	C₂²	1	1	yes	characteristic, complemented
50	C₃×#395	C₂²	1	1	yes	characteristic, complemented
51	C₃×#387	C₂²	1	1	yes	characteristic, complemented
52	C₃×#387	C₂²	1	1	yes	characteristic, complemented
53	C₃×#386	C₂²	1	1	yes	characteristic
54	C₃×#385	C₂²	1	1	yes	characteristic, complemented
55	C₃×#385	C₂²	1	1	yes	characteristic, complemented
56	C₃×#380	C₂²	1	1	yes	characteristic
57	C₃×#380	C₂²	1	1	yes	characteristic
58	#5231	C₂²	1	1	yes	characteristic
59	#5231	C₂²	1	1	yes	characteristic
60	#5229	C₂²	1	1	yes	characteristic, complemented
61	#5221	C₂²	1	1	yes	characteristic
62	#5220	C₂²	1	1	yes	characteristic
63	#5213	C₂²	1	1	yes	characteristic
64	#5213	C₂²	1	1	yes	characteristic
65	#5212	C₂²	1	1	yes	characteristic
66	#5211	C₂²	1	1	yes	characteristic, complemented
67	#5210	C₂²	1	1	yes	characteristic
68	C₄×#217	C₂²	1	1	yes	characteristic
69	#4994	C₂²	1	1	yes	characteristic
70	#4994	C₂²	1	1	yes	characteristic
71	#4994	C₂²	1	1	yes	characteristic
72	#4992	C₂²	1	1	yes	characteristic
73	#4992	C₂²	1	1	yes	characteristic
74	#4990	C₂²	1	1	yes	characteristic
75	#4990	C₂²	1	1	yes	characteristic
76	#4990	C₂²	1	1	yes	characteristic
77	#4990	C₂²	1	1	yes	characteristic
78	#4990	C₂²	1	1	yes	characteristic
79	#4990	C₂²	1	1	yes	characteristic
80	#4990	C₂²	1	1	yes	characteristic
81	#4987	C₂²	1	1	yes	characteristic
82	#4986	C₂²	1	1	yes	characteristic, complemented
83	#4985	C₂²	1	1	yes	characteristic, complemented
84	#4984	C₂²	1	1	yes	characteristic, complemented
85	#4981	C₂²	1	1	yes	characteristic, complemented
86	#4980	C₂²	1	1	yes	characteristic, complemented
87	#4980	C₂²	1	1	yes	characteristic, complemented
88	#4980	C₂²	1	1	yes	characteristic, complemented
89	#4978	C₂²	1	1	yes	characteristic, complemented
90	#4978	C₂²	1	1	yes	characteristic, complemented
91	#4978	C₂²	1	1	yes	characteristic, complemented
92	#4977	C₂²	1	1	yes	characteristic, complemented
93	#4976	C₂²	1	1	yes	characteristic, complemented
94	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
95	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
96	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
97	#4972	C₂²	1	1	yes	characteristic, complemented
98	#4959	C₂²	1	1	yes	characteristic
99	#4959	C₂²	1	1	yes	characteristic
100	#4959	C₂²	1	1	yes	characteristic
101	#4959	C₂²	1	1	yes	characteristic
102	#4958	C₂²	1	1	yes	characteristic
103	#4958	C₂²	1	1	yes	characteristic
104	#4958	C₂²	1	1	yes	characteristic
105	#4957	C₂²	1	1	yes	characteristic
106	#4956	C₂²	1	1	yes	characteristic
107	#4955	C₂²	1	1	yes	characteristic
108	#4955	C₂²	1	1	yes	characteristic
109	#4955	C₂²	1	1	yes	characteristic
110	#4955	C₂²	1	1	yes	characteristic
111	#4952	C₂²	1	1	yes	characteristic
112	#4952	C₂²	1	1	yes	characteristic
113	#4952	C₂²	1	1	yes	characteristic
114	#4952	C₂²	1	1	yes	characteristic
115	#4951	C₂²	1	1	yes	characteristic
116	#4951	C₂²	1	1	yes	characteristic
117	#4951	C₂²	1	1	yes	characteristic
118	#4951	C₂²	1	1	yes	characteristic
119	#4951	C₂²	1	1	yes	characteristic, complemented
120	#4951	C₂²	1	1	yes	characteristic, complemented
121	#4950	C₂²	1	1	yes	characteristic
122	#4950	C₂²	1	1	yes	characteristic, complemented
123	#4950	C₂²	1	1	yes	characteristic, complemented
124	#4950	C₂²	1	1	yes	characteristic, complemented
125	#4949	C₂²	1	1	yes	characteristic
126	#4948	C₂²	1	1	yes	characteristic
127	#4948	C₂²	1	1	yes	characteristic, complemented
128	#4948	C₂²	1	1	yes	characteristic, complemented
129	#4946	C₂²	1	1	yes	characteristic
130	#4946	C₂²	1	1	yes	characteristic, complemented
131	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
132	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
133	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
134	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
135	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
136	#4940	C₂²	1	1	yes	characteristic
137	#4940	C₂²	1	1	yes	characteristic
138	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
139	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
140	#4677	C₂²	1	1	yes	characteristic
141	#4675	C₂²	1	1	yes	characteristic
142	#4675	C₂²	1	1	yes	characteristic
143	#4674	C₂²	1	1	yes	characteristic
144	#4674	C₂²	1	1	yes	characteristic
145	#4670	C₂²	1	1	yes	characteristic
146	#4670	C₂²	1	1	yes	characteristic
147	#4670	C₂²	1	1	yes	characteristic
148	#4670	C₂²	1	1	yes	characteristic
149	#4670	C₂²	1	1	yes	characteristic
150	#4670	C₂²	1	1	yes	characteristic
151	#4670	C₂²	1	1	yes	characteristic
152	#4669	C₂²	1	1	yes	characteristic
153	#4669	C₂²	1	1	yes	characteristic
154	#4669	C₂²	1	1	yes	characteristic
155	#4669	C₂²	1	1	yes	characteristic
156	#4668	C₂²	1	1	yes	characteristic
157	#4668	C₂²	1	1	yes	characteristic
158	#4668	C₂²	1	1	yes	characteristic
159	#4668	C₂²	1	1	yes	characteristic
160	#4668	C₂²	1	1	yes	characteristic
161	#4666	C₂²	1	1	yes	characteristic
162	#4666	C₂²	1	1	yes	characteristic
163	#4664	C₂²	1	1	yes	characteristic
164	#4661	C₂²	1	1	yes	characteristic, complemented
165	#4660	C₂²	1	1	yes	characteristic, complemented
166	#4660	C₂²	1	1	yes	characteristic, complemented
167	#4660	C₂²	1	1	yes	characteristic, complemented
168	#4659	C₂²	1	1	yes	characteristic, complemented
169	#4659	C₂²	1	1	yes	characteristic, complemented
170	#4658	C₂²	1	1	yes	characteristic, complemented
171	#4655	C₂²	1	1	yes	characteristic, complemented
172	#4655	C₂²	1	1	yes	characteristic, complemented
173	#4655	C₂²	1	1	yes	characteristic, complemented
174	#4655	C₂²	1	1	yes	characteristic, complemented
175	#4654	C₂²	1	1	yes	characteristic, complemented
176	#4653	C₂²	1	1	yes	characteristic, complemented
177	#4653	C₂²	1	1	yes	characteristic, complemented
178	#4652	C₂²	1	1	yes	characteristic, complemented
179	#4652	C₂²	1	1	yes	characteristic, complemented
180	#4652	C₂²	1	1	yes	characteristic, complemented
181	#4651	C₂²	1	1	yes	characteristic, complemented
182	#4651	C₂²	1	1	yes	characteristic, complemented
183	#4650	C₂²	1	1	yes	characteristic, complemented
184	#4650	C₂²	1	1	yes	characteristic, complemented
185	#4648	C₂²	1	1	yes	characteristic, complemented
186	#4647	C₂²	1	1	yes	characteristic, complemented
187	#4647	C₂²	1	1	yes	characteristic, complemented
188	#2852	—	3	1	no	—
189	#2796	—	3	1	no	—
190	#2782	—	3	1	no	—
191	#2780	—	3	1	no	—
192	#2761	—	3	1	no	—
193	#2750	—	3	1	no	—
194	#2717	D₃	1	1	yes	characteristic, complemented
195	#2697	—	3	1	no	—
196	#2684	—	3	1	no	—
197	#2652	—	3	1	no	—
198	#2650	—	3	1	no	—
199	#2599	—	3	1	no	—
200	#2596	—	3	1	no	—
201	#2574	—	3	1	no	—
202	#2573	—	3	1	no	—
203	#2530	—	3	1	no	—
204	#2529	—	3	1	no	—
205	#2518	—	3	1	no	—
206	#2517	—	3	1	no	—
207	#2495	—	3	1	no	—
208	#2482	—	3	1	no	—
209	#2480	—	3	1	no	—
210	#2480	—	3	1	no	—
211	#2469	—	3	1	no	—
212	#2466	—	3	1	no	—
213	#2367	—	3	1	no	—
214	#2358	—	3	1	no	—
215	#2334	—	3	1	no	—
216	#2312	—	3	1	no	—
217	C₄×#123	—	3	1	no	—
218	#2290	—	3	1	no	—
219	C₂⁴×D₃	C₂³	1	1	yes	characteristic
220	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
221	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
222	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
223	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
224	C₂²×#67	C₂³	1	1	yes	characteristic
225	C₂²×#67	C₂³	1	1	yes	characteristic
226	C₂³×Dic₃	C₂³	1	1	yes	characteristic
227	C₂³×Dic₃	C₂³	1	1	yes	characteristic
228	C₂³×Dic₃	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
231	C₃×#124	—	2	4	no	—
232	C₃×#123	—	2	4	no	—
233	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
252	C₂×#217	C₂³	1	1	yes	characteristic
253	C₂×#217	C₂³	1	1	yes	characteristic
254	C₂×#217	C₂³	1	1	yes	characteristic
255	C₂×#217	C₂³	1	1	yes	characteristic
256	C₂×#217	C₂³	1	1	yes	characteristic
257	C₂×#217	C₂³	1	1	yes	characteristic
258	C₂×#217	C₂³	1	1	yes	characteristic
259	C₂×#217	C₂³	1	1	yes	characteristic
260	C₂×#217	C₂³	1	1	yes	characteristic
261	C₂×#217	C₂³	1	1	yes	characteristic
262	Q₈×Dic₃	—	4	2	no	—
263	#937	—	2	4	no	—
264	D₄×Dic₃	—	4	2	no	—
265	C₂×(C₂×D₃)⋊C₄	—	2	4	no	—
266	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
302	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₃	—	4	2	no	—
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	#898	—	2	4	no	—
330	#898	—	4	2	no	—
331	#892	—	4	2	no	—
332	#67⋊C₄	—	2	4	no	—
333	D₃×C₂²⋊C₄	—	4	2	no	—
334	C₃×#95	C₂³	1	1	yes	characteristic
335	C₃×#95	C₂³	1	1	yes	characteristic
336	C₃×#95	C₂³	1	1	yes	characteristic
337	C₃×#95	C₂³	1	1	yes	characteristic
338	C₃×#95	C₂³	1	1	yes	characteristic
339	C₃×#95	C₂³	1	1	yes	characteristic
340	C₃×#95	C₂³	1	1	yes	characteristic
341	C₃×#95	C₂³	1	1	yes	characteristic
342	C₃×#95	C₂³	1	1	yes	characteristic
343	C₃×#95	C₂³	1	1	yes	characteristic
344	C₃×#95	C₂³	1	1	yes	characteristic
345	C₃×#95	C₂³	1	1	yes	characteristic
346	C₃⋊#95	C₂³	1	1	yes	characteristic
347	C₃⋊#95	C₂³	1	1	yes	characteristic
348	C₃⋊#95	C₂³	1	1	yes	characteristic
349	C₃⋊#95	C₂³	1	1	yes	characteristic
350	C₃⋊#95	C₂³	1	1	yes	characteristic
351	C₃⋊#95	C₂³	1	1	yes	characteristic
352	C₃⋊#95	C₂³	1	1	yes	characteristic
353	C₃⋊#95	C₂³	1	1	yes	characteristic
354	C₃⋊#95	C₂³	1	1	yes	characteristic
355	C₃⋊#95	C₂³	1	1	yes	characteristic
356	C₃⋊#95	C₂³	1	1	yes	characteristic
357	C₃⋊#95	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	C₂×#126	—	3	1	no	—
387	C₂×#126	—	3	1	no	—
388	C₂×#124	C₂×D₃	1	1	yes	characteristic
389	C₂×#123	C₂×D₃	1	1	yes	characteristic
390	C₂×#120	—	3	1	no	—
391	C₂×C₄×Q₈	—	3	1	no	—
392	C₂×C₄×D₄	—	3	1	no	—
393	C₂×C₄×D₄	—	3	1	no	—
394	C₂×#117	—	3	1	no	—
395	C₂²×C₂²⋊C₄	—	3	1	no	—
396	C₂²×C₂²⋊C₄	—	3	1	no	—
397	C₂²×C₄²	—	3	1	no	—
398	#400	—	3	1	no	—
399	#400	—	3	1	no	—
400	#400	—	3	1	no	—
401	#400	—	3	1	no	—
402	#400	—	3	1	no	—
403	#400	—	3	1	no	—
404	#400	—	3	1	no	—
405	#400	—	3	1	no	—
406	#399	—	3	1	no	—
407	#399	—	3	1	no	—
408	#398	—	3	1	no	—
409	#398	—	3	1	no	—
410	#397	—	3	1	no	—
411	#397	—	3	1	no	—
412	#397	—	3	1	no	—
413	#397	—	3	1	no	—
414	#397	—	3	1	no	—
415	#397	—	3	1	no	—
416	#397	—	3	1	no	—
417	#397	—	3	1	no	—
418	#397	—	3	1	no	—
419	#397	—	3	1	no	—
420	#397	C₂×D₃	1	1	yes	characteristic
421	#397	C₂×D₃	1	1	yes	characteristic
422	#397	C₂×D₃	1	1	yes	characteristic, complemented
423	#397	C₂×D₃	1	1	yes	characteristic, complemented
424	#396	—	3	1	no	—
425	#396	—	3	1	no	—
426	#396	—	3	1	no	—
427	#396	—	3	1	no	—
428	#396	—	3	1	no	—
429	#396	—	3	1	no	—
430	#395	C₂×D₃	1	1	yes	characteristic, complemented
431	#395	C₂×D₃	1	1	yes	characteristic, complemented
432	#394	—	3	1	no	—
433	#394	—	3	1	no	—
434	#394	—	3	1	no	—
435	#394	—	3	1	no	—
436	#393	—	3	1	no	—
437	#393	—	3	1	no	—
438	#391	—	3	1	no	—
439	#390	—	3	1	no	—
440	#390	—	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	#388	—	3	1	no	—
447	#388	—	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	#387	—	3	1	no	—
473	#387	—	3	1	no	—
474	#387	—	3	1	no	—
475	#387	—	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	C₂×D₃	1	1	yes	characteristic, complemented
489	#387	C₂×D₃	1	1	yes	characteristic, complemented
490	#386	—	3	1	no	—
491	#386	—	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	C₂×D₃	1	1	yes	characteristic
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	C₂×D₃	1	1	yes	characteristic, complemented
511	#385	C₂×D₃	1	1	yes	characteristic, complemented
512	#383	—	3	1	no	—
513	#383	—	3	1	no	—
514	#382	—	3	1	no	—
515	#382	—	3	1	no	—
516	#382	—	3	1	no	—
517	#381	—	3	1	no	—
518	#381	—	3	1	no	—
519	#380	—	3	1	no	—
520	#380	—	3	1	no	—
521	#380	C₂×D₃	1	1	yes	characteristic
522	#380	C₂×D₃	1	1	yes	characteristic
523	#379	—	3	1	no	—
524	#379	—	3	1	no	—
525	#379	—	3	1	no	—
526	#379	—	3	1	no	—
527	C₄×C₄⋊C₄	—	3	1	no	—
528	C₄×C₄⋊C₄	—	3	1	no	—
529	C₄×C₄⋊C₄	—	3	1	no	—
530	C₄×C₄⋊C₄	—	3	1	no	—
531	C₄×C₄⋊C₄	—	3	1	no	—
532	C₄×C₂²⋊C₄	—	3	1	no	—
533	C₄×C₂²⋊C₄	—	3	1	no	—
534	C₄×C₂²⋊C₄	—	3	1	no	—
535	C₄×C₂²⋊C₄	—	3	1	no	—
536	C₄×C₂²⋊C₄	—	3	1	no	—
537	C₄×C₂²⋊C₄	—	3	1	no	—
538	C₄×C₂²⋊C₄	—	3	1	no	—
539	C₄×C₂²⋊C₄	—	3	1	no	—
540	#376	—	3	1	no	—
541	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
542	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
543	C₂³×D₃	—	2	2	no	—
544	C₂³×D₃	—	2	2	no	—
545	C₂³×D₃	—	4	1	no	—
546	C₂³×D₃	—	4	1	no	—
547	C₂³×D₃	—	4	1	no	—
548	C₂³×D₃	—	4	1	no	—
549	C₂³×D₃	—	4	1	no	—
550	C₂³×D₃	C₂⁴	1	1	yes	characteristic
551	C₂³×D₃	C₂⁴	1	1	yes	characteristic
552	C₂×C₃×Q₈	—	2	2	no	—
553	C₂×C₃×Q₈	—	4	1	no	—
554	C₂×C₃×Q₈	—	4	1	no	—
555	C₂×C₃×D₄	—	4	1	no	—
556	C₂×C₃×D₄	—	4	1	no	—
557	C₂×C₃×D₄	#41	1	4	yes	—
558	C₂²×C₃×C₄	—	2	2	no	—
559	C₂²×C₃×C₄	—	2	2	no	—
560	C₂²×C₃×C₄	—	4	1	no	—
561	C₂²×C₃×C₄	—	4	1	no	—
562	C₂²×C₃×C₄	—	4	1	no	—
563	C₂²×C₃×C₄	—	4	1	no	—
564	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
565	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
566	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
567	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
568	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
569	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
570	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
571	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
572	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
573	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
574	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
575	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
576	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
577	C₂×#67	—	2	2	no	—
578	C₂×#67	—	2	2	no	—
579	C₂×#67	—	2	2	no	—
580	C₂×#67	—	4	1	no	—
581	C₂×#67	—	4	1	no	—
582	C₂×#67	—	4	1	no	—
583	C₂²×Dic₃	—	2	2	no	—
584	C₂²×Dic₃	—	2	2	no	—
585	C₂²×Dic₃	—	2	2	no	—
586	C₂²×Dic₃	—	4	1	no	—
587	C₂²×Dic₃	—	4	1	no	—
588	C₂²×Dic₃	—	4	1	no	—
589	C₂²×Dic₃	—	4	1	no	—
590	C₂²×Dic₃	—	4	1	no	—
591	C₂²×Dic₃	—	4	1	no	—
592	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
593	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
594	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
595	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
596	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
597	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
598	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
599	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
600	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
601	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
602	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
603	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
604	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
605	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₄×D₃	—	2	2	no	—
607	C₂×C₄×D₃	—	2	2	no	—
608	C₂×C₄×D₃	—	4	1	no	—
609	C₂×C₄×D₃	—	4	1	no	—
610	C₂×C₄×D₃	—	4	1	no	—
611	C₂×C₄×D₃	—	4	1	no	—
612	C₃×C₄⋊C₄	—	2	2	no	—
613	C₃×C₄⋊C₄	—	2	2	no	—
614	C₃×C₄⋊C₄	—	2	2	no	—
615	C₃×C₄⋊C₄	—	4	1	no	—
616	C₃×C₄⋊C₄	—	4	1	no	—
617	C₃×C₄⋊C₄	—	4	1	no	—
618	C₃×C₄⋊C₄	—	4	1	no	—
619	C₃×C₄⋊C₄	—	4	1	no	—
620	C₃×C₂²⋊C₄	—	2	2	no	—
621	C₃×C₂²⋊C₄	—	2	2	no	—
622	C₃×C₂²⋊C₄	—	2	2	no	—
623	C₃×C₂²⋊C₄	—	2	2	no	—
624	C₃×C₂²⋊C₄	—	2	2	no	—
625	C₃×C₂²⋊C₄	—	2	2	no	—
626	C₃×C₂²⋊C₄	—	2	2	no	—
627	C₃×C₂²⋊C₄	—	2	2	no	—
628	C₃×C₂²⋊C₄	—	4	1	no	—
629	C₃×C₂²⋊C₄	—	4	1	no	—
630	C₃×C₄²	—	2	2	no	—
631	#217	—	2	2	no	—
632	#217	—	2	2	no	—
633	#217	—	4	1	no	—
634	#217	—	4	1	no	—
635	#217	—	4	1	no	—
636	#217	—	4	1	no	—
637	#217	—	4	1	no	—
638	#217	—	4	1	no	—
639	#217	—	4	1	no	—
640	#217	—	4	1	no	—
641	(C₂×D₃)⋊C₄	—	2	2	no	—
642	(C₂×D₃)⋊C₄	—	2	2	no	—
643	(C₂×D₃)⋊C₄	—	2	2	no	—
644	(C₂×D₃)⋊C₄	—	2	2	no	—
645	(C₂×D₃)⋊C₄	—	2	2	no	—
646	(C₂×D₃)⋊C₄	—	2	2	no	—
647	(C₂×D₃)⋊C₄	—	2	2	no	—
648	(C₂×D₃)⋊C₄	—	2	2	no	—
649	(C₂×D₃)⋊C₄	—	4	1	no	—
650	(C₂×D₃)⋊C₄	—	4	1	no	—
651	(C₂×D₃)⋊C₄	—	4	1	no	—
652	(C₂×D₃)⋊C₄	—	4	1	no	—
653	(C₂×D₃)⋊C₄	—	4	1	no	—
654	(C₂×D₃)⋊C₄	—	4	1	no	—
655	(C₂×D₃)⋊C₄	—	4	1	no	—
656	(C₂×D₃)⋊C₄	—	4	1	no	—
657	(C₂×D₃)⋊C₄	—	4	1	no	—
658	(C₂×D₃)⋊C₄	—	4	1	no	—
659	(C₂×D₃)⋊C₄	—	4	1	no	—
660	(C₂×D₃)⋊C₄	—	4	1	no	—
661	(C₂×D₃)⋊C₄	—	4	1	no	—
662	(C₂×D₃)⋊C₄	—	4	1	no	—
663	(C₂×D₃)⋊C₄	—	4	1	no	—
664	(C₂×D₃)⋊C₄	#41	1	4	yes	—
665	C₄⋊Dic₃	—	2	2	no	—
666	C₄⋊Dic₃	—	2	2	no	—
667	C₄⋊Dic₃	—	2	2	no	—
668	C₄⋊Dic₃	—	4	1	no	—
669	C₄⋊Dic₃	—	4	1	no	—
670	C₄⋊Dic₃	—	4	1	no	—
671	C₄⋊Dic₃	—	4	1	no	—
672	C₄⋊Dic₃	—	4	1	no	—
673	C₄⋊Dic₃	—	4	1	no	—
674	C₄⋊Dic₃	—	4	1	no	—
675	C₄⋊Dic₃	—	4	1	no	—
676	C₄⋊Dic₃	—	4	1	no	—
677	Dic₃⋊C₄	—	2	2	no	—
678	Dic₃⋊C₄	—	2	2	no	—
679	Dic₃⋊C₄	—	4	1	no	—
680	Dic₃⋊C₄	—	4	1	no	—
681	Dic₃⋊C₄	—	4	1	no	—
682	Dic₃⋊C₄	—	4	1	no	—
683	Dic₃⋊C₄	—	4	1	no	—
684	Dic₃⋊C₄	—	4	1	no	—
685	Dic₃⋊C₄	—	4	1	no	—
686	Dic₃⋊C₄	—	4	1	no	—
687	Dic₃⋊C₄	—	4	1	no	—
688	Dic₃⋊C₄	—	4	1	no	—
689	C₄×Dic₃	—	2	2	no	—
690	C₄×Dic₃	—	2	2	no	—
691	C₄×Dic₃	—	2	2	no	—
692	C₄×Dic₃	—	2	2	no	—
693	C₄×Dic₃	—	2	2	no	—
694	C₄×Dic₃	—	4	1	no	—
695	C₄×Dic₃	—	4	1	no	—
696	C₄×Dic₃	—	4	1	no	—
697	C₄×Dic₃	—	4	1	no	—
698	C₄×Dic₃	—	4	1	no	—
699	C₄×Dic₃	—	4	1	no	—
700	C₄×Dic₃	—	4	1	no	—
701	C₄×Dic₃	—	4	1	no	—
702	C₄×Dic₃	—	4	1	no	—
703	C₂⁵	—	3	1	no	—
704	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
705	C₂²×D₄	—	3	1	no	—
706	C₂²×D₄	—	3	1	no	—
707	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
708	C₂³×C₄	—	3	1	no	—
709	C₂³×C₄	—	3	1	no	—
710	C₂³×C₄	—	3	1	no	—
711	C₂³×C₄	—	3	1	no	—
712	C₂³×C₄	—	3	1	no	—
713	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
714	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
715	#126	—	6	4	no	—
716	#126	—	12	2	no	—
717	#124	—	2	4	no	—
718	#123	—	2	4	no	—
719	#120	—	6	4	no	—
720	C₄×Q₈	—	12	2	no	—
721	C₄×D₄	—	6	4	no	—
722	C₄×D₄	—	12	2	no	—
723	#117	—	12	2	no	—
724	C₂×C₄⋊C₄	—	3	1	no	—
725	C₂×C₄⋊C₄	—	3	1	no	—
726	C₂×C₄⋊C₄	—	3	1	no	—
727	C₂×C₄⋊C₄	—	3	1	no	—
728	C₂×C₄⋊C₄	—	3	1	no	—
729	C₂×C₄⋊C₄	—	3	1	no	—
730	C₂×C₄⋊C₄	—	3	1	no	—
731	C₂×C₄⋊C₄	—	3	1	no	—
732	C₂×C₄⋊C₄	—	3	1	no	—
733	C₂×C₄⋊C₄	—	3	1	no	—
734	C₂×C₄⋊C₄	—	3	1	no	—
735	C₂×C₄⋊C₄	—	3	1	no	—
736	C₂×C₄⋊C₄	—	3	1	no	—
737	C₂×C₄⋊C₄	—	3	1	no	—
738	C₂×C₄⋊C₄	—	3	1	no	—
739	C₂×C₄⋊C₄	—	3	1	no	—
740	C₂×C₄⋊C₄	—	3	1	no	—
741	C₂×C₄⋊C₄	—	3	1	no	—
742	C₂×C₄⋊C₄	—	3	1	no	—
743	C₂×C₄⋊C₄	—	3	1	no	—
744	C₂×C₄⋊C₄	—	3	1	no	—
745	C₂×C₄⋊C₄	—	3	1	no	—
746	C₂×C₄⋊C₄	—	3	1	no	—
747	C₂×C₄⋊C₄	—	3	1	no	—
748	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
749	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
750	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
753	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
754	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	—	3	1	no	—
757	C₂×C₂²⋊C₄	—	3	1	no	—
758	C₂×C₂²⋊C₄	—	3	1	no	—
759	C₂×C₂²⋊C₄	—	3	1	no	—
760	C₂×C₂²⋊C₄	—	3	1	no	—
761	C₂×C₂²⋊C₄	—	3	1	no	—
762	C₂×C₂²⋊C₄	—	3	1	no	—
763	C₂×C₂²⋊C₄	—	3	1	no	—
764	C₂×C₂²⋊C₄	—	3	1	no	—
765	C₂×C₂²⋊C₄	—	3	1	no	—
766	C₂×C₂²⋊C₄	—	3	1	no	—
767	C₂×C₂²⋊C₄	—	3	1	no	—
768	C₂×C₂²⋊C₄	—	3	1	no	—
769	C₂×C₂²⋊C₄	—	3	1	no	—
770	C₂×C₂²⋊C₄	—	3	1	no	—
771	C₂×C₂²⋊C₄	—	3	1	no	—
772	C₂×C₂²⋊C₄	—	3	1	no	—
773	C₂×C₂²⋊C₄	—	3	1	no	—
774	C₂×C₂²⋊C₄	—	3	1	no	—
775	C₂×C₂²⋊C₄	—	3	1	no	—
776	C₂×C₂²⋊C₄	—	3	1	no	—
777	C₂×C₂²⋊C₄	—	3	1	no	—
778	C₂×C₂²⋊C₄	—	3	1	no	—
779	C₂×C₂²⋊C₄	—	3	1	no	—
780	C₂×C₂²⋊C₄	—	3	1	no	—
781	C₂×C₂²⋊C₄	—	3	1	no	—
782	C₂×C₂²⋊C₄	—	3	1	no	—
783	C₂×C₂²⋊C₄	—	3	1	no	—
784	C₂×C₂²⋊C₄	—	3	1	no	—
785	C₂×C₂²⋊C₄	—	3	1	no	—
786	C₂×C₂²⋊C₄	—	3	1	no	—
787	C₂×C₂²⋊C₄	—	3	1	no	—
788	C₂×C₂²⋊C₄	—	3	1	no	—
789	C₂×C₂²⋊C₄	—	3	1	no	—
790	C₂×C₂²⋊C₄	—	6	4	no	—
791	C₂×C₂²⋊C₄	—	12	2	no	—
792	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
793	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
796	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
799	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
800	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
801	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
802	C₂×C₄²	—	3	1	no	—
803	C₂×C₄²	—	3	1	no	—
804	C₂×C₄²	—	3	1	no	—
805	C₂×C₄²	—	3	1	no	—
806	C₂×C₄²	—	3	1	no	—
807	C₂×C₄²	—	3	1	no	—
808	C₂×C₄²	—	3	1	no	—
809	C₂×C₄²	—	3	1	no	—
810	C₂×C₄²	—	3	1	no	—
811	C₂×C₄²	—	3	1	no	—
812	C₂×C₄²	—	3	1	no	—
813	C₂×C₄²	—	3	1	no	—
814	C₂×C₄²	—	3	1	no	—
815	C₂×C₄²	—	3	1	no	—
816	C₂×C₄²	—	12	2	no	—
817	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
818	#95	—	3	1	no	—
819	#95	—	3	1	no	—
820	#95	—	3	1	no	—
821	#95	—	3	1	no	—
822	#95	—	3	1	no	—
823	#95	—	3	1	no	—
824	#95	—	3	1	no	—
825	#95	—	3	1	no	—
826	#95	—	3	1	no	—
827	#95	—	3	1	no	—
828	#95	—	3	1	no	—
829	#95	—	3	1	no	—
830	#95	—	3	1	no	—
831	#95	—	3	1	no	—
832	#95	—	3	1	no	—
833	#95	—	3	1	no	—
834	#95	—	3	1	no	—
835	#95	—	3	1	no	—
836	#95	—	3	1	no	—
837	#95	—	3	1	no	—
838	#95	—	3	1	no	—
839	#95	—	3	1	no	—
840	#95	—	3	1	no	—
841	#95	—	3	1	no	—
842	#95	—	3	1	no	—
843	#95	—	3	1	no	—
844	#95	—	3	1	no	—
845	#95	—	3	1	no	—
846	#95	—	3	1	no	—
847	#95	—	3	1	no	—
848	#95	—	3	1	no	—
849	#95	—	3	1	no	—
850	#95	—	3	1	no	—
851	#95	—	3	1	no	—
852	#95	—	3	1	no	—
853	#95	—	3	1	no	—
854	#95	—	3	1	no	—
855	#95	—	3	1	no	—
856	#95	—	3	1	no	—
857	#95	—	3	1	no	—
858	#95	C₂²×D₃	1	1	yes	characteristic
859	#95	C₂²×D₃	1	1	yes	characteristic
860	#95	C₂²×D₃	1	1	yes	characteristic
861	#95	C₂²×D₃	1	1	yes	characteristic
862	#95	C₂²×D₃	1	1	yes	characteristic
863	#95	C₂²×D₃	1	1	yes	characteristic
864	#95	C₂²×D₃	1	1	yes	characteristic
865	#95	C₂²×D₃	1	1	yes	characteristic
866	#95	C₂²×D₃	1	1	yes	characteristic
867	#95	C₂²×D₃	1	1	yes	characteristic
868	#95	C₂²×D₃	1	1	yes	characteristic
869	#95	C₂²×D₃	1	1	yes	characteristic
870	C₂³×C₃	—	2	1	no	—
871	C₂³×C₃	—	2	1	no	—
872	C₂³×C₃	—	2	1	no	—
873	C₂³×C₃	—	2	1	no	—
874	C₂³×C₃	—	2	1	no	—
875	C₂³×C₃	—	2	1	no	—
876	C₂³×C₃	—	2	1	no	—
877	C₂³×C₃	—	2	1	no	—
878	C₂³×C₃	—	2	1	no	—
879	C₂³×C₃	—	2	1	no	—
880	C₂³×C₃	—	2	1	no	—
881	C₂³×C₃	—	2	1	no	—
882	C₂³×C₃	C₂×#41	1	2	yes	—
883	C₂³×C₃	C₂×#41	1	2	yes	—
884	C₂³×C₃	C₂⁵	1	1	yes	characteristic
885	C₂²×D₃	—	2	1	no	—
886	C₂²×D₃	—	2	1	no	—
887	C₂²×D₃	—	2	1	no	—
888	C₂²×D₃	—	2	1	no	—
889	C₂²×D₃	—	2	1	no	—
890	C₂²×D₃	—	2	1	no	—
891	C₂²×D₃	—	2	1	no	—
892	C₂²×D₃	—	2	1	no	—
893	C₂²×D₃	—	2	1	no	—
894	C₂²×D₃	—	2	1	no	—
895	C₂²×D₃	—	2	1	no	—
896	C₂²×D₃	—	2	1	no	—
897	C₂²×D₃	—	2	1	no	—
898	C₂²×D₃	—	4	4	no	—
899	C₂²×D₃	—	4	4	no	—
900	C₂²×D₃	—	8	2	no	—
901	C₂²×D₃	—	8	2	no	—
902	C₂²×D₃	—	8	2	no	—
903	C₂²×D₃	—	8	2	no	—
904	C₂²×D₃	—	8	2	no	—
905	C₂²×D₃	C₂×#41	1	2	yes	—
906	C₃×Q₈	—	4	4	no	—
907	C₃×D₄	—	4	4	no	—
908	C₂×C₃×C₄	—	2	1	no	—
909	C₂×C₃×C₄	—	2	1	no	—
910	C₂×C₃×C₄	—	2	1	no	—
911	C₂×C₃×C₄	—	2	1	no	—
912	C₂×C₃×C₄	—	2	1	no	—
913	C₂×C₃×C₄	—	2	1	no	—
914	C₂×C₃×C₄	—	2	1	no	—
915	C₂×C₃×C₄	—	2	1	no	—
916	C₂×C₃×C₄	—	2	1	no	—
917	C₂×C₃×C₄	—	2	1	no	—
918	C₂×C₃×C₄	—	2	1	no	—
919	C₂×C₃×C₄	—	2	1	no	—
920	C₂×C₃×C₄	—	2	1	no	—
921	C₂×C₃×C₄	—	2	1	no	—
922	C₂×C₃×C₄	—	2	1	no	—
923	C₂×C₃×C₄	—	2	1	no	—
924	C₂×C₃×C₄	—	2	1	no	—
925	C₂×C₃×C₄	—	2	1	no	—
926	C₂×C₃×C₄	—	2	1	no	—
927	C₂×C₃×C₄	—	2	1	no	—
928	C₂×C₃×C₄	—	2	1	no	—
929	C₂×C₃×C₄	—	2	1	no	—
930	C₂×C₃×C₄	—	2	1	no	—
931	C₂×C₃×C₄	—	2	1	no	—
932	C₂×C₃×C₄	—	2	1	no	—
933	C₂×C₃×C₄	—	2	1	no	—
934	C₂×C₃×C₄	—	2	1	no	—
935	C₂×C₃×C₄	—	2	1	no	—
936	C₂×C₃×C₄	—	2	1	no	—
937	C₂×C₃×C₄	—	2	1	no	—
938	C₂×C₃×C₄	—	2	1	no	—
939	C₂×C₃×C₄	—	2	1	no	—
940	C₂×C₃×C₄	—	2	1	no	—
941	C₂×C₃×C₄	—	2	1	no	—
942	C₂×C₃×C₄	—	2	1	no	—
943	C₂×C₃×C₄	—	2	1	no	—
944	C₂×C₃×C₄	—	2	1	no	—
945	C₂×C₃×C₄	—	4	4	no	—
946	C₂×C₃×C₄	—	8	2	no	—
947	C₂×C₃×C₄	C₂×#41	1	2	yes	—
948	C₂×C₃×C₄	C₂×#41	1	2	yes	—
949	#67	—	4	4	no	—
950	#67	—	8	2	no	—
951	C₂×Dic₃	—	2	1	no	—
952	C₂×Dic₃	—	2	1	no	—
953	C₂×Dic₃	—	2	1	no	—
954	C₂×Dic₃	—	2	1	no	—
955	C₂×Dic₃	—	2	1	no	—
956	C₂×Dic₃	—	2	1	no	—
957	C₂×Dic₃	—	2	1	no	—
958	C₂×Dic₃	—	2	1	no	—
959	C₂×Dic₃	—	2	1	no	—
960	C₂×Dic₃	—	2	1	no	—
961	C₂×Dic₃	—	2	1	no	—
962	C₂×Dic₃	—	2	1	no	—
963	C₂×Dic₃	—	2	1	no	—
964	C₂×Dic₃	—	2	1	no	—
965	C₂×Dic₃	—	2	1	no	—
966	C₂×Dic₃	—	2	1	no	—
967	C₂×Dic₃	—	2	1	no	—
968	C₂×Dic₃	—	2	1	no	—
969	C₂×Dic₃	—	2	1	no	—
970	C₂×Dic₃	—	2	1	no	—
971	C₂×Dic₃	—	2	1	no	—
972	C₂×Dic₃	—	2	1	no	—
973	C₂×Dic₃	—	2	1	no	—
974	C₂×Dic₃	—	2	1	no	—
975	C₂×Dic₃	—	2	1	no	—
976	C₂×Dic₃	—	2	1	no	—
977	C₂×Dic₃	—	2	1	no	—
978	C₂×Dic₃	—	2	1	no	—
979	C₂×Dic₃	—	2	1	no	—
980	C₂×Dic₃	—	2	1	no	—
981	C₂×Dic₃	—	2	1	no	—
982	C₂×Dic₃	—	2	1	no	—
983	C₂×Dic₃	—	2	1	no	—
984	C₂×Dic₃	—	2	1	no	—
985	C₂×Dic₃	—	2	1	no	—
986	C₂×Dic₃	—	2	1	no	—
987	C₂×Dic₃	—	2	1	no	—
988	C₂×Dic₃	—	2	1	no	—
989	C₂×Dic₃	—	2	1	no	—
990	C₂×Dic₃	—	2	1	no	—
991	C₂×Dic₃	—	4	4	no	—
992	C₂×Dic₃	—	4	4	no	—
993	C₂×Dic₃	—	8	2	no	—
994	C₂×Dic₃	C₂×#41	1	2	yes	—
995	C₂×Dic₃	H(5,𝔽₂)	1	2	yes	—
996	C₄×D₃	—	4	4	no	—
997	C₄×D₃	—	8	2	no	—
998	C₂⁴	—	3	1	no	—
999	C₂⁴	—	3	1	no	—
1000	C₂⁴	—	6	2	no	—
1001	C₂⁴	—	6	2	no	—
1002	C₂⁴	—	12	1	no	—
1003	C₂⁴	—	12	1	no	—
1004	C₂⁴	—	12	1	no	—
1005	C₂⁴	—	12	1	no	—
1006	C₂⁴	—	12	1	no	—
1007	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1008	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1009	C₂×Q₈	—	2	2	no	—
1010	C₂×Q₈	—	4	1	no	—
1011	C₂×Q₈	—	4	1	no	—
1012	C₂×D₄	—	4	1	no	—
1013	C₂×D₄	—	4	1	no	—
1014	C₂×D₄	—	6	2	no	—
1015	C₂×D₄	—	6	2	no	—
1016	C₂×D₄	—	6	2	no	—
1017	C₂×D₄	—	12	1	no	—
1018	C₂×D₄	—	12	1	no	—
1019	C₂×D₄	—	12	1	no	—
1020	C₂×D₄	#237	1	4	yes	—
1021	C₂²×C₄	—	2	2	no	—
1022	C₂²×C₄	—	2	2	no	—
1023	C₂²×C₄	—	3	1	no	—
1024	C₂²×C₄	—	3	1	no	—
1025	C₂²×C₄	—	3	1	no	—
1026	C₂²×C₄	—	3	1	no	—
1027	C₂²×C₄	—	3	1	no	—
1028	C₂²×C₄	—	3	1	no	—
1029	C₂²×C₄	—	3	1	no	—
1030	C₂²×C₄	—	3	1	no	—
1031	C₂²×C₄	—	3	1	no	—
1032	C₂²×C₄	—	3	1	no	—
1033	C₂²×C₄	—	3	1	no	—
1034	C₂²×C₄	—	3	1	no	—
1035	C₂²×C₄	—	3	1	no	—
1036	C₂²×C₄	—	3	1	no	—
1037	C₂²×C₄	—	4	1	no	—
1038	C₂²×C₄	—	4	1	no	—
1039	C₂²×C₄	—	4	1	no	—
1040	C₂²×C₄	—	4	1	no	—
1041	C₂²×C₄	—	6	2	no	—
1042	C₂²×C₄	—	6	2	no	—
1043	C₂²×C₄	—	6	2	no	—
1044	C₂²×C₄	—	6	2	no	—
1045	C₂²×C₄	—	6	2	no	—
1046	C₂²×C₄	—	12	1	no	—
1047	C₂²×C₄	—	12	1	no	—
1048	C₂²×C₄	—	12	1	no	—
1049	C₂²×C₄	—	12	1	no	—
1050	C₂²×C₄	—	12	1	no	—
1051	C₂²×C₄	—	12	1	no	—
1052	C₂²×C₄	—	12	1	no	—
1053	C₂²×C₄	—	12	1	no	—
1054	C₂²×C₄	—	12	1	no	—
1055	C₂²×C₄	—	12	1	no	—
1056	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	2	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	4	1	no	—
1075	C₄⋊C₄	—	4	1	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	6	2	no	—
1078	C₄⋊C₄	—	6	2	no	—
1079	C₄⋊C₄	—	6	2	no	—
1080	C₄⋊C₄	—	6	2	no	—
1081	C₄⋊C₄	—	6	2	no	—
1082	C₄⋊C₄	—	12	1	no	—
1083	C₄⋊C₄	—	12	1	no	—
1084	C₄⋊C₄	—	12	1	no	—
1085	C₄⋊C₄	—	12	1	no	—
1086	C₄⋊C₄	—	12	1	no	—
1087	C₄⋊C₄	—	12	1	no	—
1088	C₄⋊C₄	—	12	1	no	—
1089	C₄⋊C₄	—	12	1	no	—
1090	C₄⋊C₄	—	12	1	no	—
1091	C₄⋊C₄	—	12	1	no	—
1092	C₄⋊C₄	—	12	1	no	—
1093	C₄⋊C₄	—	12	1	no	—
1094	C₄⋊C₄	—	12	1	no	—
1095	C₄⋊C₄	—	12	1	no	—
1096	C₄⋊C₄	—	12	1	no	—
1097	C₄⋊C₄	—	12	1	no	—
1098	C₄⋊C₄	—	12	1	no	—
1099	C₄⋊C₄	—	12	1	no	—
1100	C₄⋊C₄	—	12	1	no	—
1101	C₂²⋊C₄	—	2	2	no	—
1102	C₂²⋊C₄	—	2	2	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	2	no	—
1105	C₂²⋊C₄	—	2	2	no	—
1106	C₂²⋊C₄	—	2	2	no	—
1107	C₂²⋊C₄	—	2	2	no	—
1108	C₂²⋊C₄	—	2	2	no	—
1109	C₂²⋊C₄	—	3	4	no	—
1110	C₂²⋊C₄	—	4	1	no	—
1111	C₂²⋊C₄	—	4	1	no	—
1112	C₂²⋊C₄	—	6	2	no	—
1113	C₂²⋊C₄	—	6	2	no	—
1114	C₂²⋊C₄	—	6	2	no	—
1115	C₂²⋊C₄	—	6	2	no	—
1116	C₂²⋊C₄	—	6	2	no	—
1117	C₂²⋊C₄	—	6	2	no	—
1118	C₂²⋊C₄	—	6	2	no	—
1119	C₂²⋊C₄	—	6	2	no	—
1120	C₂²⋊C₄	—	6	2	no	—
1121	C₂²⋊C₄	—	6	2	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	—	12	1	no	—
1130	C₂²⋊C₄	—	12	1	no	—
1131	C₂²⋊C₄	—	12	1	no	—
1132	C₂²⋊C₄	—	12	1	no	—
1133	C₂²⋊C₄	—	12	1	no	—
1134	C₂²⋊C₄	—	12	1	no	—
1135	C₂²⋊C₄	—	12	1	no	—
1136	C₂²⋊C₄	—	12	1	no	—
1137	C₂²⋊C₄	—	12	1	no	—
1138	C₂²⋊C₄	—	12	1	no	—
1139	C₂²⋊C₄	—	12	1	no	—
1140	C₂²⋊C₄	—	12	1	no	—
1141	C₂²⋊C₄	—	12	1	no	—
1142	C₂²⋊C₄	—	12	1	no	—
1143	C₂²⋊C₄	—	12	1	no	—
1144	C₂²⋊C₄	—	12	1	no	—
1145	C₄²	—	2	2	no	—
1146	C₄²	—	6	2	no	—
1147	C₄²	—	6	2	no	—
1148	C₄²	—	6	2	no	—
1149	C₄²	—	6	2	no	—
1150	C₄²	—	6	2	no	—
1151	C₄²	—	12	1	no	—
1152	C₄²	—	12	1	no	—
1153	C₄²	—	12	1	no	—
1154	C₄²	—	12	1	no	—
1155	C₄²	—	12	1	no	—
1156	C₄²	—	12	1	no	—
1157	C₄²	—	12	1	no	—
1158	C₄²	—	12	1	no	—
1159	C₄²	—	12	1	no	—
1160	C₂²×C₃	—	2	2	no	—
1161	C₂²×C₃	—	2	2	no	—
1162	C₂²×C₃	—	2	2	no	—
1163	C₂²×C₃	—	2	2	no	—
1164	C₂²×C₃	—	2	2	no	—
1165	C₂²×C₃	—	2	2	no	—
1166	C₂²×C₃	—	4	1	no	—
1167	C₂²×C₃	—	4	1	no	—
1168	C₂²×C₃	—	4	1	no	—
1169	C₂²×C₃	—	4	1	no	—
1170	C₂²×C₃	—	4	1	no	—
1171	C₂²×C₃	—	4	1	no	—
1172	C₂²×C₃	—	4	1	no	—
1173	C₂²×C₃	—	4	1	no	—
1174	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1175	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1176	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1177	C₂²×C₃	#585	1	1	yes	characteristic
1178	C₂²×C₃	#585	1	1	yes	characteristic
1179	C₂²×C₃	#585	1	1	yes	characteristic
1180	C₂²×C₃	#585	1	1	yes	characteristic
1181	C₂×D₃	—	2	2	no	—
1182	C₂×D₃	—	2	2	no	—
1183	C₂×D₃	—	2	2	no	—
1184	C₂×D₃	—	4	1	no	—
1185	C₂×D₃	—	4	1	no	—
1186	C₂×D₃	—	4	1	no	—
1187	C₂×D₃	—	4	1	no	—
1188	C₂×D₃	—	4	1	no	—
1189	C₂×D₃	—	4	1	no	—
1190	C₂×D₃	—	4	1	no	—
1191	C₂×D₃	—	4	1	no	—
1192	C₂×D₃	—	4	1	no	—
1193	C₂×D₃	—	4	1	no	—
1194	C₂×D₃	—	4	1	no	—
1195	C₂×D₃	—	8	8	no	—
1196	C₃×C₄	—	2	2	no	—
1197	C₃×C₄	—	2	2	no	—
1198	C₃×C₄	—	4	1	no	—
1199	C₃×C₄	—	4	1	no	—
1200	C₃×C₄	—	4	1	no	—
1201	C₃×C₄	—	4	1	no	—
1202	C₃×C₄	—	4	1	no	—
1203	C₃×C₄	—	4	1	no	—
1204	C₃×C₄	—	4	1	no	—
1205	C₃×C₄	—	4	1	no	—
1206	C₃×C₄	—	4	1	no	—
1207	C₃×C₄	—	4	1	no	—
1208	C₃×C₄	—	4	1	no	—
1209	Dic₃	—	2	2	no	—
1210	Dic₃	—	2	2	no	—
1211	Dic₃	—	4	1	no	—
1212	Dic₃	—	4	1	no	—
1213	Dic₃	—	4	1	no	—
1214	Dic₃	—	4	1	no	—
1215	Dic₃	—	4	1	no	—
1216	Dic₃	—	4	1	no	—
1217	Dic₃	—	4	1	no	—
1218	Dic₃	—	4	1	no	—
1219	Dic₃	—	4	1	no	—
1220	Dic₃	—	4	1	no	—
1221	Dic₃	—	4	1	no	—
1222	Dic₃	—	4	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	2	1	no	—
1229	C₂³	—	2	1	no	—
1230	C₂³	—	2	1	no	—
1231	C₂³	—	2	1	no	—
1232	C₂³	—	2	1	no	—
1233	C₂³	—	2	1	no	—
1234	C₂³	—	2	1	no	—
1235	C₂³	—	3	2	no	—
1236	C₂³	—	6	1	no	—
1237	C₂³	—	6	1	no	—
1238	C₂³	—	6	1	no	—
1239	C₂³	—	6	1	no	—
1240	C₂³	—	6	1	no	—
1241	C₂³	—	6	1	no	—
1242	C₂³	—	6	1	no	—
1243	C₂³	—	6	1	no	—
1244	C₂³	—	6	1	no	—
1245	C₂³	—	6	1	no	—
1246	C₂³	—	6	1	no	—
1247	C₂³	—	6	1	no	—
1248	C₂³	—	6	1	no	—
1249	C₂³	—	12	4	no	—
1250	C₂³	—	12	4	no	—
1251	C₂³	—	24	2	no	—
1252	C₂³	—	24	2	no	—
1253	C₂³	—	24	2	no	—
1254	C₂³	—	24	2	no	—
1255	C₂³	—	24	2	no	—
1256	C₂³	C₂×#237	1	2	yes	—
1257	C₂³	C₂×#237	1	2	yes	—
1258	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1259	Q₈	—	4	4	no	—
1260	D₄	—	4	4	no	—
1261	D₄	—	12	4	no	—
1262	D₄	—	24	2	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	3	2	no	—
1301	C₂×C₄	—	3	2	no	—
1302	C₂×C₄	—	4	4	no	—
1303	C₂×C₄	—	6	1	no	—
1304	C₂×C₄	—	6	1	no	—
1305	C₂×C₄	—	6	1	no	—
1306	C₂×C₄	—	6	1	no	—
1307	C₂×C₄	—	6	1	no	—
1308	C₂×C₄	—	6	1	no	—
1309	C₂×C₄	—	6	1	no	—
1310	C₂×C₄	—	6	1	no	—
1311	C₂×C₄	—	6	1	no	—
1312	C₂×C₄	—	6	1	no	—
1313	C₂×C₄	—	6	1	no	—
1314	C₂×C₄	—	6	1	no	—
1315	C₂×C₄	—	6	1	no	—
1316	C₂×C₄	—	6	1	no	—
1317	C₂×C₄	—	6	1	no	—
1318	C₂×C₄	—	6	1	no	—
1319	C₂×C₄	—	6	1	no	—
1320	C₂×C₄	—	6	1	no	—
1321	C₂×C₄	—	6	1	no	—
1322	C₂×C₄	—	6	1	no	—
1323	C₂×C₄	—	6	1	no	—
1324	C₂×C₄	—	6	1	no	—
1325	C₂×C₄	—	6	1	no	—
1326	C₂×C₄	—	6	1	no	—
1327	C₂×C₄	—	6	1	no	—
1328	C₂×C₄	—	6	1	no	—
1329	C₂×C₄	—	6	1	no	—
1330	C₂×C₄	—	6	1	no	—
1331	C₂×C₄	—	6	1	no	—
1332	C₂×C₄	—	6	1	no	—
1333	C₂×C₄	—	6	1	no	—
1334	C₂×C₄	—	6	1	no	—
1335	C₂×C₄	—	6	1	no	—
1336	C₂×C₄	—	6	1	no	—
1337	C₂×C₄	—	6	1	no	—
1338	C₂×C₄	—	6	1	no	—
1339	C₂×C₄	—	6	1	no	—
1340	C₂×C₄	—	6	1	no	—
1341	C₂×C₄	—	6	1	no	—
1342	C₂×C₄	—	6	1	no	—
1343	C₂×C₄	—	8	2	no	—
1344	C₂×C₄	—	12	4	no	—
1345	C₂×C₄	—	12	4	no	—
1346	C₂×C₄	—	12	4	no	—
1347	C₂×C₄	—	24	2	no	—
1348	C₂×C₄	—	24	2	no	—
1349	C₂×C₄	C₂×#237	1	2	yes	—
1350	C₂×C₄	D₃×#41	1	2	yes	—
1351	C₂×C₃	—	4	2	no	—
1352	C₂×C₃	—	4	2	no	—
1353	C₂×C₃	#3459	1	1	yes	characteristic
1354	C₂×C₃	#3475	1	1	yes	characteristic
1355	C₂×C₃	#3513	1	1	yes	characteristic
1356	C₂×C₃	#3521	1	1	yes	characteristic
1357	C₂×C₃	#3521	1	1	yes	characteristic
1358	C₂×C₃	#3540	1	1	yes	characteristic
1359	C₂×C₃	#3566	1	1	yes	characteristic
1360	D₃	—	4	2	no	—
1361	D₃	—	8	1	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	2	no	—
1368	C₂²	—	4	1	no	—
1369	C₂²	—	4	1	no	—
1370	C₂²	—	4	1	no	—
1371	C₂²	—	4	1	no	—
1372	C₂²	—	4	1	no	—
1373	C₂²	—	4	1	no	—
1374	C₂²	—	4	1	no	—
1375	C₂²	—	4	1	no	—
1376	C₂²	—	6	2	no	—
1377	C₂²	—	6	2	no	—
1378	C₂²	—	6	2	no	—
1379	C₂²	—	12	1	no	—
1380	C₂²	—	12	1	no	—
1381	C₂²	—	12	1	no	—
1382	C₂²	—	12	1	no	—
1383	C₂²	—	12	1	no	—
1384	C₂²	—	12	1	no	—
1385	C₂²	—	12	1	no	—
1386	C₂²	—	12	1	no	—
1387	C₂²	—	12	1	no	—
1388	C₂²	—	12	1	no	—
1389	C₂²	—	12	1	no	—
1390	C₂²	—	24	8	no	—
1391	C₂²	C₂²×#237	1	1	yes	characteristic
1392	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1393	C₂²	#5964	1	1	yes	characteristic
1394	C₂²	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1395	C₂²	#5966	1	1	yes	characteristic
1396	C₂²	#5968	1	1	yes	characteristic
1397	C₂²	#5968	1	1	yes	characteristic
1398	C₄	—	2	2	no	—
1399	C₄	—	2	2	no	—
1400	C₄	—	4	1	no	—
1401	C₄	—	4	1	no	—
1402	C₄	—	4	1	no	—
1403	C₄	—	4	1	no	—
1404	C₄	—	4	1	no	—
1405	C₄	—	4	1	no	—
1406	C₄	—	4	1	no	—
1407	C₄	—	4	1	no	—
1408	C₄	—	4	1	no	—
1409	C₄	—	4	1	no	—
1410	C₄	—	4	1	no	—
1411	C₄	—	6	2	no	—
1412	C₄	—	6	2	no	—
1413	C₄	—	12	1	no	—
1414	C₄	—	12	1	no	—
1415	C₄	—	12	1	no	—
1416	C₄	—	12	1	no	—
1417	C₄	—	12	1	no	—
1418	C₄	—	12	1	no	—
1419	C₄	—	12	1	no	—
1420	C₄	—	12	1	no	—
1421	C₄	—	12	1	no	—
1422	C₄	—	12	1	no	—
1423	C₄	—	12	1	no	—
1424	C₄	—	12	1	no	—
1425	C₃	#38354	1	1	yes	characteristic, complemented, Sylow
1426	C₂	—	4	2	no	—
1427	C₂	—	4	2	no	—
1428	C₂	—	12	2	no	—
1429	C₂	—	24	1	no	—
1430	C₂	#86295	1	1	yes	characteristic
1431	C₂	#86530	1	1	yes	characteristic
1432	C₂	#86553	1	1	yes	characteristic
1433	C₂	#86675	1	1	yes	characteristic
1434	C₂	#86687	1	1	yes	characteristic
1435	C₂	#86800	1	1	yes	characteristic
1436	C₂	#87125	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₃×#2717	C₂
prime radical	C₂×#937	C₂²
hypercenter	#2717	D₃
hypocenter	C₃	#38354
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2717

Complements

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

N	H ≅ G/N	type
1. C₃×#2717	C₂	semidirect
3. #82955	C₂	semidirect
5. Dic₃×#123	C₂	semidirect
6. #77676	C₂	semidirect
7. #77639	C₂	semidirect
8. #77629	C₂	semidirect
9. #77559	C₂	semidirect
10. #77500	C₂	semidirect
11. #77498	C₂	semidirect
12. #77481	C₂	semidirect
13. #77471	C₂	semidirect
14. #77207	C₂	semidirect
15. #77196	C₂	semidirect
16. #77190	C₂	semidirect
17. #77181	C₂	semidirect
18. #75121	C₂	semidirect
19. #75080	C₂	semidirect
20. #75064	C₂	semidirect
21. #74954	C₂	semidirect
23. #74857	C₂	semidirect
24. #74647	C₂	semidirect
25. #74587	C₂	semidirect
26. #74552	C₂	semidirect
27. #74377	C₂	semidirect
28. #74004	C₂	semidirect
29. #73931	C₂	semidirect
30. #73921	C₂	semidirect
31. #73909	C₂	semidirect
35. C₂×Q₈×Dic₃	C₂²	semidirect
39. C₂²×C₄×Dic₃	C₂²	semidirect
47. C₃×#397	C₂²	semidirect
48. C₃×#397	C₂²	semidirect
49. C₃×#395	C₂²	semidirect
50. C₃×#395	C₂²	semidirect
51. C₃×#387	C₂²	semidirect
52. C₃×#387	C₂²	semidirect
54. C₃×#385	C₂²	semidirect
55. C₃×#385	C₂²	semidirect
60. #5229	C₂²	semidirect
66. #5211	C₂²	semidirect
82. #4986	C₂²	semidirect
83. #4985	C₂²	semidirect
84. #4984	C₂²	semidirect
85. #4981	C₂²	semidirect
86. #4980	C₂²	semidirect
87. #4980	C₂²	semidirect
88. #4980	C₂²	semidirect
89. #4978	C₂²	semidirect
90. #4978	C₂²	semidirect
91. #4978	C₂²	semidirect
92. #4977	C₂²	semidirect
93. #4976	C₂²	semidirect
94. Dic₃×C₄⋊C₄	C₂²	semidirect
95. Dic₃×C₄⋊C₄	C₂²	semidirect
96. Dic₃×C₄⋊C₄	C₂²	semidirect
97. #4972	C₂²	semidirect
119. #4951	C₂²	semidirect
120. #4951	C₂²	semidirect
122. #4950	C₂²	semidirect
123. #4950	C₂²	semidirect
124. #4950	C₂²	semidirect
127. #4948	C₂²	semidirect
128. #4948	C₂²	semidirect
130. #4946	C₂²	semidirect
134. Dic₃×C₂²⋊C₄	C₂²	semidirect
135. Dic₃×C₂²⋊C₄	C₂²	semidirect
138. C₄×C₄⋊Dic₃	C₂²	semidirect
139. C₄×C₄⋊Dic₃	C₂²	semidirect
164. #4661	C₂²	semidirect
165. #4660	C₂²	semidirect
166. #4660	C₂²	semidirect
167. #4660	C₂²	semidirect
168. #4659	C₂²	semidirect
169. #4659	C₂²	semidirect
170. #4658	C₂²	semidirect
171. #4655	C₂²	semidirect
172. #4655	C₂²	semidirect
173. #4655	C₂²	semidirect
174. #4655	C₂²	semidirect
175. #4654	C₂²	semidirect
176. #4653	C₂²	semidirect
177. #4653	C₂²	semidirect
178. #4652	C₂²	semidirect
179. #4652	C₂²	semidirect
180. #4652	C₂²	semidirect
181. #4651	C₂²	semidirect
182. #4651	C₂²	semidirect
183. #4650	C₂²	semidirect
184. #4650	C₂²	semidirect
185. #4648	C₂²	semidirect
186. #4647	C₂²	semidirect
187. #4647	C₂²	semidirect
194. #2717	D₃	semidirect
422. #397	C₂×D₃	semidirect
423. #397	C₂×D₃	semidirect
430. #395	C₂×D₃	semidirect
431. #395	C₂×D₃	semidirect
488. #387	C₂×D₃	semidirect
489. #387	C₂×D₃	semidirect
510. #385	C₂×D₃	semidirect
511. #385	C₂×D₃	semidirect
1425. C₃	#38354	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2717	2
#83005	2
#82955	2
#82908	2
Dic₃×#123	2
#77676	2
#77639	2
#77629	2
#77559	2
#77500	2
#77498	2
#77481	2
#77471	2
#77207	2
#77196	2
#77190	2
#77181	2
#75121	2
#75080	2
#75064	2
#74954	2
#74879	2
#74857	2
#74647	2
#74587	2
#74552	2
#74377	2
#74004	2
#73931	2
#73921	2
#73909	2
#38354	3