Subgroups — #10959384

Order 768.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#541	C₂	1	1	yes	maximal, characteristic
2	#83231	C₂	1	1	yes	maximal, characteristic, complemented
3	#83230	C₂	1	1	yes	maximal, characteristic, complemented
4	#83076	C₂	1	1	yes	maximal, characteristic
5	#83075	C₂	1	1	yes	maximal, characteristic
6	#83075	C₂	1	1	yes	maximal, characteristic
7	#83075	C₂	1	1	yes	maximal, characteristic
8	#83074	C₂	1	1	yes	maximal, characteristic
9	#83074	C₂	1	1	yes	maximal, characteristic
10	#83074	C₂	1	1	yes	maximal, characteristic
11	Dic₃×#126	C₂	1	1	yes	maximal, characteristic
12	#83027	C₂	1	1	yes	maximal, characteristic, complemented
13	#83026	C₂	1	1	yes	maximal, characteristic, complemented
14	#83025	C₂	1	1	yes	maximal, characteristic, complemented
15	#83025	C₂	1	1	yes	maximal, characteristic, complemented
16	#83024	C₂	1	1	yes	maximal, characteristic, complemented
17	#83024	C₂	1	1	yes	maximal, characteristic, complemented
18	#83024	C₂	1	1	yes	maximal, characteristic, complemented
19	#83024	C₂	1	1	yes	maximal, characteristic, complemented
20	#83023	C₂	1	1	yes	maximal, characteristic, complemented
21	Dic₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
22	#82750	C₂	1	1	yes	maximal, characteristic
23	#82749	C₂	1	1	yes	maximal, characteristic
24	#82746	C₂	1	1	yes	maximal, characteristic
25	#82745	C₂	1	1	yes	maximal, characteristic
26	#82463	C₂	1	1	yes	maximal, characteristic, complemented
27	#82462	C₂	1	1	yes	maximal, characteristic, complemented
28	#82454	C₂	1	1	yes	maximal, characteristic, complemented
29	#82451	C₂	1	1	yes	maximal, characteristic, complemented
30	#82240	C₂	1	1	yes	maximal, characteristic
31	#82237	C₂	1	1	yes	maximal, characteristic
32	#34445	—	3	1	no	maximal, Sylow
33	C₃×#541	C₄	1	16	yes	complemented
34	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₃×#126	C₂²	1	1	yes	characteristic
37	C₂×C₃×#126	C₂²	1	1	yes	characteristic
38	C₂×C₃×#126	C₂²	1	1	yes	characteristic
39	C₂×C₃×#125	C₂²	1	1	yes	characteristic
40	C₂×C₃×#125	C₂²	1	1	yes	characteristic
41	C₂×C₃×#125	C₂²	1	1	yes	characteristic
42	C₂×C₃×#125	C₂²	1	1	yes	characteristic
43	C₂×C₃×#125	C₂²	1	1	yes	characteristic
44	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
46	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
47	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
48	C₂×C₃×#117	C₂²	1	1	yes	characteristic
49	#5229	C₂²	1	1	yes	characteristic
50	#5229	C₂²	1	1	yes	characteristic
51	#5229	C₂²	1	1	yes	characteristic
52	#5229	C₂²	1	1	yes	characteristic
53	#5229	C₂²	1	1	yes	characteristic
54	#5229	C₂²	1	1	yes	characteristic
55	#5229	C₂²	1	1	yes	characteristic
56	#5229	C₂²	1	1	yes	characteristic
57	#5212	C₂²	1	1	yes	characteristic
58	#5211	C₂²	1	1	yes	characteristic
59	C₄×#217	C₂²	1	1	yes	characteristic
60	C₂×C₃⋊#95	C₂²	1	1	yes	characteristic
61	#4984	C₂²	1	1	yes	characteristic
62	#4984	C₂²	1	1	yes	characteristic
63	#4984	C₂²	1	1	yes	characteristic
64	#4984	C₂²	1	1	yes	characteristic
65	#4984	C₂²	1	1	yes	characteristic
66	#4984	C₂²	1	1	yes	characteristic
67	#4984	C₂²	1	1	yes	characteristic
68	#4984	C₂²	1	1	yes	characteristic
69	#4984	C₂²	1	1	yes	characteristic
70	#4984	C₂²	1	1	yes	characteristic
71	#4984	C₂²	1	1	yes	characteristic
72	#4984	C₂²	1	1	yes	characteristic
73	#4984	C₂²	1	1	yes	characteristic
74	#4984	C₂²	1	1	yes	characteristic
75	#4984	C₂²	1	1	yes	characteristic
76	#4984	C₂²	1	1	yes	characteristic
77	#4984	C₂²	1	1	yes	characteristic
78	#4984	C₂²	1	1	yes	characteristic
79	#4980	C₂²	1	1	yes	characteristic
80	#4980	C₂²	1	1	yes	characteristic
81	#4980	C₂²	1	1	yes	characteristic
82	#4980	C₂²	1	1	yes	characteristic
83	#4980	C₂²	1	1	yes	characteristic
84	#4980	C₂²	1	1	yes	characteristic
85	#4980	C₂²	1	1	yes	characteristic
86	#4980	C₂²	1	1	yes	characteristic
87	#4980	C₂²	1	1	yes	characteristic
88	#4980	C₂²	1	1	yes	characteristic
89	#4980	C₂²	1	1	yes	characteristic
90	#4980	C₂²	1	1	yes	characteristic
91	#4980	C₂²	1	1	yes	characteristic
92	#4980	C₂²	1	1	yes	characteristic
93	#4980	C₂²	1	1	yes	characteristic
94	#4980	C₂²	1	1	yes	characteristic
95	#4980	C₂²	1	1	yes	characteristic
96	#4980	C₂²	1	1	yes	characteristic
97	#4980	C₂²	1	1	yes	characteristic
98	#4980	C₂²	1	1	yes	characteristic
99	#4980	C₂²	1	1	yes	characteristic
100	#4980	C₂²	1	1	yes	characteristic
101	#4980	C₂²	1	1	yes	characteristic
102	#4980	C₂²	1	1	yes	characteristic
103	#4980	C₂²	1	1	yes	characteristic
104	#4980	C₂²	1	1	yes	characteristic
105	#4980	C₂²	1	1	yes	characteristic
106	#4980	C₂²	1	1	yes	characteristic
107	#4980	C₂²	1	1	yes	characteristic
108	#4980	C₂²	1	1	yes	characteristic
109	#4980	C₂²	1	1	yes	characteristic
110	#4980	C₂²	1	1	yes	characteristic
111	#4980	C₂²	1	1	yes	characteristic
112	#4980	C₂²	1	1	yes	characteristic
113	#4980	C₂²	1	1	yes	characteristic
114	#4980	C₂²	1	1	yes	characteristic
115	#4980	C₂²	1	1	yes	characteristic
116	#4980	C₂²	1	1	yes	characteristic
117	#4980	C₂²	1	1	yes	characteristic
118	#4980	C₂²	1	1	yes	characteristic
119	#4980	C₂²	1	1	yes	characteristic
120	#4980	C₂²	1	1	yes	characteristic
121	#4980	C₂²	1	1	yes	characteristic
122	#4980	C₂²	1	1	yes	characteristic
123	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
124	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
125	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
126	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
127	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
128	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
129	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
130	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
131	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
132	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
133	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
134	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
135	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
136	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
137	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
138	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
139	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
140	Dic₃×C₄⋊C₄	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
144	#4951	C₂²	1	1	yes	characteristic
145	#4951	C₂²	1	1	yes	characteristic
146	#4951	C₂²	1	1	yes	characteristic
147	#4951	C₂²	1	1	yes	characteristic
148	#4951	C₂²	1	1	yes	characteristic
149	#4951	C₂²	1	1	yes	characteristic
150	#4951	C₂²	1	1	yes	characteristic
151	#4951	C₂²	1	1	yes	characteristic
152	#4951	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	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
160	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
161	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
162	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
163	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
164	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
165	#4937	C₂²	1	1	yes	characteristic
166	#4937	C₂²	1	1	yes	characteristic
167	#4937	C₂²	1	1	yes	characteristic
168	#4937	C₂²	1	1	yes	characteristic
169	#4937	C₂²	1	1	yes	characteristic
170	#4936	C₂²	1	1	yes	characteristic
171	#4936	C₂²	1	1	yes	characteristic
172	#4936	C₂²	1	1	yes	characteristic
173	#4936	C₂²	1	1	yes	characteristic
174	#4935	C₂²	1	1	yes	characteristic
175	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
176	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
177	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
178	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
179	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
180	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
181	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
184	#4932	C₂²	1	1	yes	characteristic
185	#4932	C₂²	1	1	yes	characteristic
186	#4932	C₂²	1	1	yes	characteristic
187	#4932	C₂²	1	1	yes	characteristic
188	C₄²×Dic₃	C₂²	1	1	yes	characteristic
189	C₂×#541	D₃	1	1	yes	characteristic
190	#2383	—	3	1	no	—
191	#2382	—	3	1	no	—
192	#2381	—	3	1	no	—
193	#2378	—	3	1	no	—
194	#2373	—	3	1	no	—
195	#2373	—	3	1	no	—
196	#2373	—	3	1	no	—
197	#2371	—	3	1	no	—
198	#2370	—	3	1	no	—
199	#2370	—	3	1	no	—
200	#2369	—	3	1	no	—
201	#2368	—	3	1	no	—
202	#2356	—	3	1	no	—
203	#2355	—	3	1	no	—
204	#2347	—	3	1	no	—
205	#2343	—	3	1	no	—
206	#2336	—	3	1	no	—
207	#2336	—	3	1	no	—
208	#2336	—	3	1	no	—
209	#2336	—	3	1	no	—
210	#2334	—	3	1	no	—
211	#2334	—	3	1	no	—
212	#2334	—	3	1	no	—
213	#2332	—	3	1	no	—
214	#2330	—	3	1	no	—
215	#2329	—	3	1	no	—
216	#2320	—	3	1	no	—
217	C₄×#125	—	3	1	no	—
218	C₄×#126	—	3	1	no	—
219	#2295	—	3	1	no	—
220	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
221	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
222	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
223	C₂³×Dic₃	C₂³	1	1	yes	characteristic
224	C₂³×Dic₃	C₂³	1	1	yes	characteristic
225	C₃×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
226	C₃×#126	C₂×C₄	1	8	yes	—
227	C₃×#126	C₂×C₄	1	8	yes	—
228	C₃×#126	C₂×C₄	1	8	yes	—
229	C₃×#126	C₂×C₄	1	8	yes	—
230	C₃×#125	C₂×C₄	1	8	yes	complemented
231	C₃×#125	C₂×C₄	1	8	yes	complemented
232	C₃×#125	C₂×C₄	1	8	yes	complemented
233	C₃×#125	C₂×C₄	1	8	yes	complemented
234	C₃×#125	C₂×C₄	1	8	yes	complemented
235	C₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
236	C₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
237	C₃×C₄×Q₈	C₂×C₄	1	8	yes	complemented
238	C₃×C₄×Q₈	C₂×C₄	1	8	yes	complemented
239	C₃×#117	C₂×C₄	1	8	yes	—
240	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
272	C₂×#217	C₂³	1	1	yes	characteristic
273	C₂×#217	C₂³	1	1	yes	characteristic
274	C₂×#217	C₂³	1	1	yes	characteristic
275	C₂×#217	C₂³	1	1	yes	characteristic
276	C₂×#217	C₂³	1	1	yes	characteristic
277	C₂×#217	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊Dic₃	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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
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	C₃⋊#95	C₂³	1	1	yes	characteristic
331	C₃⋊#95	C₂³	1	1	yes	characteristic
332	C₃⋊#95	C₂³	1	1	yes	characteristic
333	C₃⋊#95	C₂³	1	1	yes	characteristic
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	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	#541	Dic₃	1	16	yes	complemented
391	C₂×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
392	C₂×#126	C₂×D₃	1	1	yes	characteristic
393	C₂×#126	C₂×D₃	1	1	yes	characteristic
394	C₂×#126	C₂×D₃	1	1	yes	characteristic
395	C₂×#126	C₂×D₃	1	1	yes	characteristic
396	C₂×#125	C₂×D₃	1	1	yes	characteristic
397	C₂×#125	C₂×D₃	1	1	yes	characteristic
398	C₂×#125	C₂×D₃	1	1	yes	characteristic
399	C₂×#125	C₂×D₃	1	1	yes	characteristic
400	C₂×#125	C₂×D₃	1	1	yes	characteristic
401	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
402	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
403	C₂×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
404	C₂×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
405	C₂×#117	C₂×D₃	1	1	yes	characteristic
406	#391	—	3	1	no	—
407	#391	—	3	1	no	—
408	#391	—	3	1	no	—
409	#391	—	3	1	no	—
410	#391	—	3	1	no	—
411	#391	—	3	1	no	—
412	#391	—	3	1	no	—
413	#391	—	3	1	no	—
414	#389	—	3	1	no	—
415	#389	—	3	1	no	—
416	#389	—	3	1	no	—
417	#389	—	3	1	no	—
418	#389	—	3	1	no	—
419	#389	—	3	1	no	—
420	#389	—	3	1	no	—
421	#389	—	3	1	no	—
422	#389	—	3	1	no	—
423	#389	—	3	1	no	—
424	#389	—	3	1	no	—
425	#389	—	3	1	no	—
426	#389	—	3	1	no	—
427	#389	—	3	1	no	—
428	#389	—	3	1	no	—
429	#389	—	3	1	no	—
430	#389	—	3	1	no	—
431	#389	—	3	1	no	—
432	#388	—	3	1	no	—
433	#388	—	3	1	no	—
434	#388	—	3	1	no	—
435	#388	—	3	1	no	—
436	#388	—	3	1	no	—
437	#388	—	3	1	no	—
438	#388	—	3	1	no	—
439	#388	—	3	1	no	—
440	#388	—	3	1	no	—
441	#388	—	3	1	no	—
442	#388	—	3	1	no	—
443	#388	—	3	1	no	—
444	#387	—	3	1	no	—
445	#387	—	3	1	no	—
446	#387	—	3	1	no	—
447	#387	—	3	1	no	—
448	#387	—	3	1	no	—
449	#387	—	3	1	no	—
450	#387	—	3	1	no	—
451	#387	—	3	1	no	—
452	#387	—	3	1	no	—
453	#387	—	3	1	no	—
454	#387	—	3	1	no	—
455	#387	—	3	1	no	—
456	#387	—	3	1	no	—
457	#387	—	3	1	no	—
458	#387	—	3	1	no	—
459	#387	—	3	1	no	—
460	#387	—	3	1	no	—
461	#387	—	3	1	no	—
462	#387	—	3	1	no	—
463	#387	—	3	1	no	—
464	#387	—	3	1	no	—
465	#387	—	3	1	no	—
466	#387	—	3	1	no	—
467	#387	—	3	1	no	—
468	#387	—	3	1	no	—
469	#387	—	3	1	no	—
470	#387	—	3	1	no	—
471	#387	—	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	#385	—	3	1	no	—
489	#385	—	3	1	no	—
490	#385	—	3	1	no	—
491	#385	—	3	1	no	—
492	#385	—	3	1	no	—
493	#385	—	3	1	no	—
494	#384	—	3	1	no	—
495	#383	—	3	1	no	—
496	#383	—	3	1	no	—
497	#383	—	3	1	no	—
498	#383	—	3	1	no	—
499	#383	—	3	1	no	—
500	#382	—	3	1	no	—
501	#382	—	3	1	no	—
502	#382	—	3	1	no	—
503	#382	—	3	1	no	—
504	#381	—	3	1	no	—
505	#380	—	3	1	no	—
506	C₄×C₄⋊C₄	—	3	1	no	—
507	C₄×C₄⋊C₄	—	3	1	no	—
508	C₄×C₄⋊C₄	—	3	1	no	—
509	C₄×C₄⋊C₄	—	3	1	no	—
510	C₄×C₄⋊C₄	—	3	1	no	—
511	C₄×C₄⋊C₄	—	3	1	no	—
512	C₄×C₄⋊C₄	—	3	1	no	—
513	C₄×C₄⋊C₄	—	3	1	no	—
514	C₄×C₄⋊C₄	—	3	1	no	—
515	C₄×C₄⋊C₄	—	3	1	no	—
516	C₄×C₄⋊C₄	—	3	1	no	—
517	C₄×C₄⋊C₄	—	3	1	no	—
518	C₄×C₄⋊C₄	—	3	1	no	—
519	C₄×C₄⋊C₄	—	3	1	no	—
520	C₄×C₄⋊C₄	—	3	1	no	—
521	C₄×C₄⋊C₄	—	3	1	no	—
522	C₄×C₄⋊C₄	—	3	1	no	—
523	C₄×C₄⋊C₄	—	3	1	no	—
524	C₄×C₄⋊C₄	—	3	1	no	—
525	C₄×C₄⋊C₄	—	3	1	no	—
526	C₄×C₄⋊C₄	—	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×C₄⋊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	#376	—	3	1	no	—
542	#376	—	3	1	no	—
543	#376	—	3	1	no	—
544	C₂×#95	—	3	1	no	—
545	C₄³	—	3	1	no	—
546	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
547	C₂×C₃×Q₈	—	4	1	no	—
548	C₂×C₃×Q₈	—	4	1	no	—
549	C₂×C₃×Q₈	—	4	1	no	—
550	C₂×C₃×Q₈	—	4	1	no	—
551	C₂×C₃×Q₈	C₂²×C₄	1	4	yes	—
552	C₂×C₃×Q₈	C₂²×C₄	1	4	yes	—
553	C₂²×C₃×C₄	—	4	1	no	—
554	C₂²×C₃×C₄	—	4	1	no	—
555	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
556	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
557	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
558	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
559	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
560	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
561	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
562	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
563	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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×Dic₃	—	2	2	no	—
571	C₂²×Dic₃	—	4	1	no	—
572	C₂²×Dic₃	—	4	1	no	—
573	C₂²×Dic₃	—	4	1	no	—
574	C₂²×Dic₃	—	4	1	no	—
575	C₂²×Dic₃	—	4	1	no	—
576	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
577	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
578	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
579	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
580	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
581	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
582	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
583	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
584	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
585	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
586	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
587	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
588	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
589	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
590	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
591	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
592	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
593	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
594	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
595	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
596	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
597	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
598	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
599	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
600	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
601	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
602	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
603	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
604	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
605	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
606	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
607	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
608	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
609	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
610	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
611	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
612	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
613	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
614	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
615	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
616	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
617	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
618	C₃×C₄²	C₂²×C₄	1	4	yes	—
619	C₃×C₄²	C₂²×C₄	1	4	yes	—
620	C₃×C₄²	C₂²×C₄	1	4	yes	—
621	C₃×C₄²	C₂²×C₄	1	4	yes	—
622	C₃×C₄²	C₂²×C₄	1	4	yes	—
623	C₃×C₄²	C₂²×C₄	1	4	yes	—
624	#217	—	2	2	no	—
625	#217	—	4	1	no	—
626	#217	—	4	1	no	—
627	#217	—	4	1	no	—
628	#217	—	4	1	no	—
629	#217	—	4	1	no	—
630	C₄⋊Dic₃	—	2	2	no	—
631	C₄⋊Dic₃	—	2	2	no	—
632	C₄⋊Dic₃	—	2	2	no	—
633	C₄⋊Dic₃	—	2	2	no	—
634	C₄⋊Dic₃	—	2	2	no	—
635	C₄⋊Dic₃	—	4	1	no	—
636	C₄⋊Dic₃	—	4	1	no	—
637	C₄⋊Dic₃	—	4	1	no	—
638	C₄⋊Dic₃	—	4	1	no	—
639	C₄⋊Dic₃	—	4	1	no	—
640	C₄⋊Dic₃	—	4	1	no	—
641	C₄⋊Dic₃	—	4	1	no	—
642	C₄⋊Dic₃	—	4	1	no	—
643	C₄⋊Dic₃	—	4	1	no	—
644	C₄⋊Dic₃	—	4	1	no	—
645	C₄⋊Dic₃	—	4	1	no	—
646	C₄⋊Dic₃	—	4	1	no	—
647	C₄⋊Dic₃	—	4	1	no	—
648	C₄⋊Dic₃	—	4	1	no	—
649	C₄⋊Dic₃	—	4	1	no	—
650	C₄⋊Dic₃	—	4	1	no	—
651	C₄⋊Dic₃	—	4	1	no	—
652	C₄⋊Dic₃	—	4	1	no	—
653	C₄⋊Dic₃	—	4	1	no	—
654	C₄⋊Dic₃	—	4	1	no	—
655	C₄⋊Dic₃	—	4	1	no	—
656	C₄×Dic₃	—	2	2	no	—
657	C₄×Dic₃	—	2	2	no	—
658	C₄×Dic₃	—	2	2	no	—
659	C₄×Dic₃	—	4	1	no	—
660	C₄×Dic₃	—	4	1	no	—
661	C₄×Dic₃	—	4	1	no	—
662	C₄×Dic₃	—	4	1	no	—
663	C₄×Dic₃	—	4	1	no	—
664	C₄×Dic₃	—	4	1	no	—
665	C₄×Dic₃	—	4	1	no	—
666	C₄×Dic₃	—	4	1	no	—
667	C₄×Dic₃	—	4	1	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	C₄×Dic₃	—	4	1	no	—
678	C₄×Dic₃	—	4	1	no	—
679	C₄×Dic₃	—	4	1	no	—
680	C₄×Dic₃	—	4	1	no	—
681	C₄×Dic₃	—	4	1	no	—
682	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
683	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
684	C₂³×C₄	—	3	1	no	—
685	C₂³×C₄	—	3	1	no	—
686	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
687	C₄⋊Q₈	C₂×Dic₃	1	8	yes	complemented
688	#126	C₂×Dic₃	1	8	yes	—
689	#126	C₂×Dic₃	1	8	yes	—
690	#126	C₂×Dic₃	1	8	yes	—
691	#126	C₂×Dic₃	1	8	yes	—
692	#125	C₂×Dic₃	1	8	yes	complemented
693	#125	C₂×Dic₃	1	8	yes	complemented
694	#125	C₂×Dic₃	1	8	yes	complemented
695	#125	C₂×Dic₃	1	8	yes	complemented
696	#125	C₂×Dic₃	1	8	yes	complemented
697	C₂²⋊Q₈	C₂×Dic₃	1	8	yes	—
698	C₂²⋊Q₈	C₂×Dic₃	1	8	yes	—
699	C₄×Q₈	C₂×Dic₃	1	8	yes	complemented
700	C₄×Q₈	C₂×Dic₃	1	8	yes	complemented
701	#117	C₂×Dic₃	1	8	yes	—
702	C₂×C₄⋊C₄	—	3	1	no	—
703	C₂×C₄⋊C₄	—	3	1	no	—
704	C₂×C₄⋊C₄	—	3	1	no	—
705	C₂×C₄⋊C₄	—	3	1	no	—
706	C₂×C₄⋊C₄	—	3	1	no	—
707	C₂×C₄⋊C₄	—	3	1	no	—
708	C₂×C₄⋊C₄	—	3	1	no	—
709	C₂×C₄⋊C₄	—	3	1	no	—
710	C₂×C₄⋊C₄	—	3	1	no	—
711	C₂×C₄⋊C₄	—	3	1	no	—
712	C₂×C₄⋊C₄	—	3	1	no	—
713	C₂×C₄⋊C₄	—	3	1	no	—
714	C₂×C₄⋊C₄	—	3	1	no	—
715	C₂×C₄⋊C₄	—	3	1	no	—
716	C₂×C₄⋊C₄	—	3	1	no	—
717	C₂×C₄⋊C₄	—	3	1	no	—
718	C₂×C₄⋊C₄	—	3	1	no	—
719	C₂×C₄⋊C₄	—	3	1	no	—
720	C₂×C₄⋊C₄	—	3	1	no	—
721	C₂×C₄⋊C₄	—	3	1	no	—
722	C₂×C₄⋊C₄	—	3	1	no	—
723	C₂×C₄⋊C₄	—	3	1	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	C₂²×D₃	1	1	yes	characteristic
729	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
730	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
731	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
733	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
734	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
735	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
736	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
737	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
738	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
739	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
744	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
745	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
746	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
747	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
748	C₂×C₂²⋊C₄	—	3	1	no	—
749	C₂×C₂²⋊C₄	—	3	1	no	—
750	C₂×C₂²⋊C₄	—	3	1	no	—
751	C₂×C₂²⋊C₄	—	3	1	no	—
752	C₂×C₂²⋊C₄	—	3	1	no	—
753	C₂×C₂²⋊C₄	—	3	1	no	—
754	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
758	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
759	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
760	C₂×C₄²	—	3	1	no	—
761	C₂×C₄²	—	3	1	no	—
762	C₂×C₄²	—	3	1	no	—
763	C₂×C₄²	—	3	1	no	—
764	C₂×C₄²	—	3	1	no	—
765	C₂×C₄²	—	3	1	no	—
766	C₂×C₄²	—	3	1	no	—
767	C₂×C₄²	—	3	1	no	—
768	C₂×C₄²	—	3	1	no	—
769	C₂×C₄²	—	3	1	no	—
770	C₂×C₄²	—	3	1	no	—
771	C₂×C₄²	—	3	1	no	—
772	C₂×C₄²	—	3	1	no	—
773	C₂×C₄²	—	3	1	no	—
774	C₂×C₄²	—	3	1	no	—
775	C₂×C₄²	—	3	1	no	—
776	C₂×C₄²	—	3	1	no	—
777	C₂×C₄²	—	3	1	no	—
778	C₂×C₄²	—	3	1	no	—
779	C₂×C₄²	—	3	1	no	—
780	C₂×C₄²	—	3	1	no	—
781	C₂×C₄²	—	3	1	no	—
782	C₂×C₄²	—	3	1	no	—
783	C₂×C₄²	—	3	1	no	—
784	C₂×C₄²	—	3	1	no	—
785	C₂×C₄²	—	3	1	no	—
786	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
787	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
788	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
789	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
790	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
791	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
792	#95	—	3	1	no	—
793	#95	—	3	1	no	—
794	#95	—	3	1	no	—
795	#95	—	3	1	no	—
796	#95	—	3	1	no	—
797	#95	—	3	1	no	—
798	#95	—	3	1	no	—
799	#95	—	3	1	no	—
800	#95	—	3	1	no	—
801	#95	—	3	1	no	—
802	#95	—	3	1	no	—
803	#95	—	3	1	no	—
804	#95	—	3	1	no	—
805	#95	—	3	1	no	—
806	#95	—	3	1	no	—
807	#95	—	3	1	no	—
808	#95	—	3	1	no	—
809	#95	—	3	1	no	—
810	#95	—	3	1	no	—
811	#95	—	3	1	no	—
812	#95	—	3	1	no	—
813	#95	—	3	1	no	—
814	#95	—	3	1	no	—
815	#95	—	3	1	no	—
816	#95	—	3	1	no	—
817	#95	—	3	1	no	—
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	C₂³×C₃	—	2	1	no	—
853	C₂³×C₃	—	2	1	no	—
854	C₂³×C₃	—	2	1	no	—
855	C₂³×C₃	—	2	1	no	—
856	C₂³×C₃	—	2	1	no	—
857	C₂³×C₃	—	2	1	no	—
858	C₂³×C₃	C₂³×C₄	1	2	yes	—
859	C₂³×C₃	C₂⁵	1	1	yes	characteristic
860	C₃×Q₈	—	4	4	no	—
861	C₃×Q₈	—	4	4	no	—
862	C₂×C₃×C₄	—	2	1	no	—
863	C₂×C₃×C₄	—	2	1	no	—
864	C₂×C₃×C₄	—	2	1	no	—
865	C₂×C₃×C₄	—	2	1	no	—
866	C₂×C₃×C₄	—	2	1	no	—
867	C₂×C₃×C₄	—	2	1	no	—
868	C₂×C₃×C₄	—	2	1	no	—
869	C₂×C₃×C₄	—	2	1	no	—
870	C₂×C₃×C₄	—	2	1	no	—
871	C₂×C₃×C₄	—	2	1	no	—
872	C₂×C₃×C₄	—	2	1	no	—
873	C₂×C₃×C₄	—	2	1	no	—
874	C₂×C₃×C₄	—	2	1	no	—
875	C₂×C₃×C₄	—	2	1	no	—
876	C₂×C₃×C₄	—	2	1	no	—
877	C₂×C₃×C₄	—	2	1	no	—
878	C₂×C₃×C₄	—	2	1	no	—
879	C₂×C₃×C₄	—	2	1	no	—
880	C₂×C₃×C₄	—	2	1	no	—
881	C₂×C₃×C₄	—	2	1	no	—
882	C₂×C₃×C₄	—	2	1	no	—
883	C₂×C₃×C₄	—	2	1	no	—
884	C₂×C₃×C₄	—	2	1	no	—
885	C₂×C₃×C₄	—	2	1	no	—
886	C₂×C₃×C₄	—	2	1	no	—
887	C₂×C₃×C₄	—	2	1	no	—
888	C₂×C₃×C₄	—	2	1	no	—
889	C₂×C₃×C₄	—	2	1	no	—
890	C₂×C₃×C₄	—	4	4	no	—
891	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
892	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
893	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
894	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
895	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
896	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
897	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
898	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
899	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
900	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
901	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
902	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
903	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
904	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
905	C₂×Dic₃	—	2	1	no	—
906	C₂×Dic₃	—	2	1	no	—
907	C₂×Dic₃	—	2	1	no	—
908	C₂×Dic₃	—	2	1	no	—
909	C₂×Dic₃	—	2	1	no	—
910	C₂×Dic₃	—	2	1	no	—
911	C₂×Dic₃	—	2	1	no	—
912	C₂×Dic₃	—	2	1	no	—
913	C₂×Dic₃	—	2	1	no	—
914	C₂×Dic₃	—	2	1	no	—
915	C₂×Dic₃	—	2	1	no	—
916	C₂×Dic₃	—	2	1	no	—
917	C₂×Dic₃	—	2	1	no	—
918	C₂×Dic₃	—	2	1	no	—
919	C₂×Dic₃	—	2	1	no	—
920	C₂×Dic₃	—	2	1	no	—
921	C₂×Dic₃	—	2	1	no	—
922	C₂×Dic₃	—	2	1	no	—
923	C₂×Dic₃	—	2	1	no	—
924	C₂×Dic₃	—	2	1	no	—
925	C₂×Dic₃	—	2	1	no	—
926	C₂×Dic₃	—	2	1	no	—
927	C₂×Dic₃	—	2	1	no	—
928	C₂×Dic₃	—	2	1	no	—
929	C₂×Dic₃	—	2	1	no	—
930	C₂×Dic₃	—	2	1	no	—
931	C₂×Dic₃	—	2	1	no	—
932	C₂×Dic₃	—	2	1	no	—
933	C₂×Dic₃	—	2	1	no	—
934	C₂×Dic₃	—	2	1	no	—
935	C₂×Dic₃	—	2	1	no	—
936	C₂×Dic₃	—	2	1	no	—
937	C₂×Dic₃	—	2	1	no	—
938	C₂×Dic₃	—	2	1	no	—
939	C₂×Dic₃	—	2	1	no	—
940	C₂×Dic₃	—	2	1	no	—
941	C₂×Dic₃	—	2	1	no	—
942	C₂×Dic₃	—	2	1	no	—
943	C₂×Dic₃	—	2	1	no	—
944	C₂×Dic₃	—	2	1	no	—
945	C₂×Dic₃	—	2	1	no	—
946	C₂×Dic₃	—	2	1	no	—
947	C₂×Dic₃	—	2	1	no	—
948	C₂×Dic₃	—	2	1	no	—
949	C₂×Dic₃	—	2	1	no	—
950	C₂×Dic₃	—	2	1	no	—
951	C₂×Dic₃	—	8	2	no	—
952	C₂×Dic₃	—	8	2	no	—
953	C₂×Dic₃	2₋¹⁺⁴	1	2	yes	—
954	C₂×Dic₃	2₋¹⁺⁴	1	2	yes	—
955	C₂⁴	C₂³×D₃	1	1	yes	characteristic
956	C₂×Q₈	—	4	1	no	—
957	C₂×Q₈	—	4	1	no	—
958	C₂×Q₈	—	4	1	no	—
959	C₂×Q₈	—	4	1	no	—
960	C₂×Q₈	C₂²×Dic₃	1	4	yes	—
961	C₂×Q₈	C₂²×Dic₃	1	4	yes	—
962	C₂²×C₄	—	3	1	no	—
963	C₂²×C₄	—	3	1	no	—
964	C₂²×C₄	—	3	1	no	—
965	C₂²×C₄	—	3	1	no	—
966	C₂²×C₄	—	3	1	no	—
967	C₂²×C₄	—	3	1	no	—
968	C₂²×C₄	—	3	1	no	—
969	C₂²×C₄	—	3	1	no	—
970	C₂²×C₄	—	3	1	no	—
971	C₂²×C₄	—	3	1	no	—
972	C₂²×C₄	—	3	1	no	—
973	C₂²×C₄	—	3	1	no	—
974	C₂²×C₄	—	3	1	no	—
975	C₂²×C₄	—	3	1	no	—
976	C₂²×C₄	—	3	1	no	—
977	C₂²×C₄	—	3	1	no	—
978	C₂²×C₄	—	4	1	no	—
979	C₂²×C₄	—	4	1	no	—
980	C₂²×C₄	—	6	2	no	—
981	C₂²×C₄	—	12	1	no	—
982	C₂²×C₄	—	12	1	no	—
983	C₂²×C₄	—	12	1	no	—
984	C₂²×C₄	—	12	1	no	—
985	C₂²×C₄	—	12	1	no	—
986	C₂²×C₄	C₂²×Dic₃	1	4	yes	—
987	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
988	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
989	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
990	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
991	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
992	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
993	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
994	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
995	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
996	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
997	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
998	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
999	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1000	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1001	C₄⋊C₄	—	6	2	no	—
1002	C₄⋊C₄	—	6	2	no	—
1003	C₄⋊C₄	—	6	2	no	—
1004	C₄⋊C₄	—	6	2	no	—
1005	C₄⋊C₄	—	6	2	no	—
1006	C₄⋊C₄	—	12	1	no	—
1007	C₄⋊C₄	—	12	1	no	—
1008	C₄⋊C₄	—	12	1	no	—
1009	C₄⋊C₄	—	12	1	no	—
1010	C₄⋊C₄	—	12	1	no	—
1011	C₄⋊C₄	—	12	1	no	—
1012	C₄⋊C₄	—	12	1	no	—
1013	C₄⋊C₄	—	12	1	no	—
1014	C₄⋊C₄	—	12	1	no	—
1015	C₄⋊C₄	—	12	1	no	—
1016	C₄⋊C₄	—	12	1	no	—
1017	C₄⋊C₄	—	12	1	no	—
1018	C₄⋊C₄	—	12	1	no	—
1019	C₄⋊C₄	—	12	1	no	—
1020	C₄⋊C₄	—	12	1	no	—
1021	C₄⋊C₄	—	12	1	no	—
1022	C₄⋊C₄	—	12	1	no	—
1023	C₄⋊C₄	—	12	1	no	—
1024	C₄⋊C₄	—	12	1	no	—
1025	C₄⋊C₄	—	12	1	no	—
1026	C₄⋊C₄	—	12	1	no	—
1027	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1028	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1029	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1030	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1031	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1032	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1033	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1034	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1035	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1036	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1037	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1038	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1039	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1040	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1041	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1042	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1043	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1044	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1045	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1046	C₄⋊C₄	C₂²×Dic₃	1	4	yes	—
1047	C₂²⋊C₄	—	6	2	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	C₂²×Dic₃	1	4	yes	—
1054	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1055	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1056	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1057	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1058	C₂²⋊C₄	C₂²×Dic₃	1	4	yes	—
1059	C₄²	—	6	2	no	—
1060	C₄²	—	6	2	no	—
1061	C₄²	—	6	2	no	—
1062	C₄²	—	12	1	no	—
1063	C₄²	—	12	1	no	—
1064	C₄²	—	12	1	no	—
1065	C₄²	—	12	1	no	—
1066	C₄²	—	12	1	no	—
1067	C₄²	—	12	1	no	—
1068	C₄²	—	12	1	no	—
1069	C₄²	—	12	1	no	—
1070	C₄²	—	12	1	no	—
1071	C₄²	—	12	1	no	—
1072	C₄²	—	12	1	no	—
1073	C₄²	—	12	1	no	—
1074	C₄²	—	12	1	no	—
1075	C₄²	—	12	1	no	—
1076	C₄²	—	12	1	no	—
1077	C₄²	—	12	1	no	—
1078	C₄²	—	12	1	no	—
1079	C₄²	—	12	1	no	—
1080	C₄²	—	12	1	no	—
1081	C₄²	—	12	1	no	—
1082	C₄²	—	12	1	no	—
1083	C₄²	—	12	1	no	—
1084	C₄²	—	12	1	no	—
1085	C₄²	C₂²×Dic₃	1	4	yes	—
1086	C₄²	C₂²×Dic₃	1	4	yes	—
1087	C₄²	C₂²×Dic₃	1	4	yes	—
1088	C₄²	C₂²×Dic₃	1	4	yes	—
1089	C₄²	C₂²×Dic₃	1	4	yes	—
1090	C₄²	C₂²×Dic₃	1	4	yes	—
1091	C₂²×C₃	—	2	2	no	—
1092	C₂²×C₃	—	2	2	no	—
1093	C₂²×C₃	—	2	2	no	—
1094	C₂²×C₃	—	4	1	no	—
1095	C₂²×C₃	—	4	1	no	—
1096	C₂²×C₃	—	4	1	no	—
1097	C₂²×C₃	—	4	1	no	—
1098	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1099	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1100	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1101	C₂²×C₃	#585	1	1	yes	characteristic
1102	C₂²×C₃	#585	1	1	yes	characteristic
1103	C₂²×C₃	#585	1	1	yes	characteristic
1104	C₂²×C₃	#585	1	1	yes	characteristic
1105	C₃×C₄	—	2	2	no	—
1106	C₃×C₄	—	2	2	no	—
1107	C₃×C₄	—	2	2	no	—
1108	C₃×C₄	—	2	2	no	—
1109	C₃×C₄	—	2	2	no	—
1110	C₃×C₄	—	2	2	no	—
1111	C₃×C₄	—	2	2	no	—
1112	C₃×C₄	—	2	2	no	—
1113	C₃×C₄	—	2	2	no	—
1114	C₃×C₄	—	2	2	no	—
1115	C₃×C₄	—	2	2	no	—
1116	C₃×C₄	—	2	2	no	—
1117	C₃×C₄	—	2	2	no	—
1118	C₃×C₄	—	2	2	no	—
1119	Dic₃	—	2	2	no	—
1120	Dic₃	—	2	2	no	—
1121	Dic₃	—	4	1	no	—
1122	Dic₃	—	4	1	no	—
1123	Dic₃	—	4	1	no	—
1124	Dic₃	—	4	1	no	—
1125	Dic₃	—	4	1	no	—
1126	Dic₃	—	4	1	no	—
1127	Dic₃	—	4	1	no	—
1128	Dic₃	—	4	1	no	—
1129	Dic₃	—	4	1	no	—
1130	Dic₃	—	4	1	no	—
1131	Dic₃	—	4	1	no	—
1132	Dic₃	—	4	1	no	—
1133	Dic₃	—	4	1	no	—
1134	Dic₃	—	4	1	no	—
1135	C₂³	—	2	1	no	—
1136	C₂³	—	2	1	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	2	1	no	—
1139	C₂³	—	2	1	no	—
1140	C₂³	—	2	1	no	—
1141	C₂³	C₂³×Dic₃	1	2	yes	—
1142	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1143	Q₈	—	4	4	no	—
1144	Q₈	—	4	4	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	3	2	no	—
1174	C₂×C₄	—	3	2	no	—
1175	C₂×C₄	—	4	4	no	—
1176	C₂×C₄	—	6	1	no	—
1177	C₂×C₄	—	6	1	no	—
1178	C₂×C₄	—	6	1	no	—
1179	C₂×C₄	—	6	1	no	—
1180	C₂×C₄	—	6	1	no	—
1181	C₂×C₄	—	6	1	no	—
1182	C₂×C₄	—	6	1	no	—
1183	C₂×C₄	—	6	1	no	—
1184	C₂×C₄	—	6	1	no	—
1185	C₂×C₄	—	6	1	no	—
1186	C₂×C₄	—	6	1	no	—
1187	C₂×C₄	—	6	1	no	—
1188	C₂×C₄	—	6	1	no	—
1189	C₂×C₄	—	6	1	no	—
1190	C₂×C₄	—	6	1	no	—
1191	C₂×C₄	—	6	1	no	—
1192	C₂×C₄	—	6	1	no	—
1193	C₂×C₄	—	6	1	no	—
1194	C₂×C₄	—	6	1	no	—
1195	C₂×C₄	—	6	1	no	—
1196	C₂×C₄	—	6	1	no	—
1197	C₂×C₄	—	6	1	no	—
1198	C₂×C₄	—	6	1	no	—
1199	C₂×C₄	—	6	1	no	—
1200	C₂×C₄	—	6	1	no	—
1201	C₂×C₄	—	6	1	no	—
1202	C₂×C₄	—	6	1	no	—
1203	C₂×C₄	—	6	1	no	—
1204	C₂×C₄	—	6	1	no	—
1205	C₂×C₄	—	6	1	no	—
1206	C₂×C₄	—	6	1	no	—
1207	C₂×C₄	—	6	1	no	—
1208	C₂×C₄	—	6	1	no	—
1209	C₂×C₄	—	6	1	no	—
1210	C₂×C₄	—	6	1	no	—
1211	C₂×C₄	—	6	1	no	—
1212	C₂×C₄	—	6	1	no	—
1213	C₂×C₄	—	6	1	no	—
1214	C₂×C₄	—	6	1	no	—
1215	C₂×C₄	—	6	1	no	—
1216	C₂×C₄	—	6	1	no	—
1217	C₂×C₄	—	6	1	no	—
1218	C₂×C₄	—	6	1	no	—
1219	C₂×C₄	—	6	1	no	—
1220	C₂×C₄	—	6	1	no	—
1221	C₂×C₄	—	6	1	no	—
1222	C₂×C₄	—	24	2	no	—
1223	C₂×C₄	—	24	2	no	—
1224	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1225	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1226	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1227	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1228	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1229	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1230	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1231	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1232	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1233	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1234	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1235	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1236	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1237	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1238	C₂×C₃	—	4	2	no	—
1239	C₂×C₃	#3428	1	1	yes	characteristic
1240	C₂×C₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1241	C₂×C₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1242	C₂×C₃	#3553	1	1	yes	characteristic
1243	C₂×C₃	#3555	1	1	yes	characteristic
1244	C₂×C₃	#3564	1	1	yes	characteristic
1245	C₂×C₃	#3566	1	1	yes	characteristic
1246	C₂²	—	2	2	no	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	2	no	—
1249	C₂²	—	4	1	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	4	1	no	—
1253	C₂²	#5964	1	1	yes	characteristic
1254	C₂²	#5964	1	1	yes	characteristic
1255	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1256	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1257	C₂²	#5968	1	1	yes	characteristic
1258	C₂²	#5968	1	1	yes	characteristic
1259	C₂²	C₂⁴×Dic₃	1	1	yes	characteristic
1260	C₄	—	2	2	no	—
1261	C₄	—	2	2	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	2	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	2	no	—
1268	C₄	—	2	2	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	2	no	—
1271	C₄	—	2	2	no	—
1272	C₄	—	2	2	no	—
1273	C₄	—	2	2	no	—
1274	C₄	—	6	2	no	—
1275	C₄	—	6	2	no	—
1276	C₄	—	12	1	no	—
1277	C₄	—	12	1	no	—
1278	C₄	—	12	1	no	—
1279	C₄	—	12	1	no	—
1280	C₄	—	12	1	no	—
1281	C₄	—	12	1	no	—
1282	C₄	—	12	1	no	—
1283	C₄	—	12	1	no	—
1284	C₄	—	12	1	no	—
1285	C₄	—	12	1	no	—
1286	C₄	—	12	1	no	—
1287	C₄	—	12	1	no	—
1288	C₄	—	12	1	no	—
1289	C₄	—	12	1	no	—
1290	C₃	#34445	1	1	yes	characteristic, complemented, Sylow
1291	C₂	—	4	2	no	—
1292	C₂	#86501	1	1	yes	characteristic
1293	C₂	#86507	1	1	yes	characteristic
1294	C₂	#86518	1	1	yes	characteristic
1295	C₂	#86521	1	1	yes	characteristic
1296	C₂	#87260	1	1	yes	characteristic
1297	C₂	Dic₃×2₋¹⁺⁴	1	1	yes	characteristic
1298	C₂	Dic₃×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator	C₂²×C₃	C₂⁴×C₄
Fitting	C₂×C₃×#541	C₂
socle, cosocle	C₂³×C₃	C₂⁵
prime radical	C₂⁴×C₃	C₂⁴
hypercenter	C₂×#541	D₃
hypocenter	C₃	#34445
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ C₂×#541

Complements

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

N	H ≅ G/N	type
2. #83231	C₂	semidirect
3. #83230	C₂	semidirect
12. #83027	C₂	semidirect
13. #83026	C₂	semidirect
14. #83025	C₂	semidirect
15. #83025	C₂	semidirect
16. #83024	C₂	semidirect
17. #83024	C₂	semidirect
18. #83024	C₂	semidirect
19. #83024	C₂	semidirect
20. #83023	C₂	semidirect
21. Dic₃×#125	C₂	semidirect
26. #82463	C₂	semidirect
27. #82462	C₂	semidirect
28. #82454	C₂	semidirect
29. #82451	C₂	semidirect
33. C₃×#541	C₄	semidirect
225. C₃×C₄⋊Q₈	C₂×C₄	semidirect
230. C₃×#125	C₂×C₄	semidirect
231. C₃×#125	C₂×C₄	semidirect
232. C₃×#125	C₂×C₄	semidirect
233. C₃×#125	C₂×C₄	semidirect
234. C₃×#125	C₂×C₄	semidirect
237. C₃×C₄×Q₈	C₂×C₄	semidirect
238. C₃×C₄×Q₈	C₂×C₄	semidirect
390. #541	Dic₃	semidirect
687. C₄⋊Q₈	C₂×Dic₃	semidirect
692. #125	C₂×Dic₃	semidirect
693. #125	C₂×Dic₃	semidirect
694. #125	C₂×Dic₃	semidirect
695. #125	C₂×Dic₃	semidirect
696. #125	C₂×Dic₃	semidirect
699. C₄×Q₈	C₂×Dic₃	semidirect
700. C₄×Q₈	C₂×Dic₃	semidirect
1290. C₃	#34445	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#541	2
#83231	2
#83230	2
#83076	2
#83075	2
#83074	2
Dic₃×#126	2
#83027	2
#83026	2
#83025	2
#83024	2
#83023	2
Dic₃×#125	2
#82750	2
#82749	2
#82746	2
#82745	2
#82463	2
#82462	2
#82454	2
#82451	2
#82240	2
#82237	2
#34445	3