Subgroups — #11041761

Order 768.

1474 conjugacy classes of subgroups.

The subgroup lattice has 1298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2295	C₂	1	1	yes	maximal, characteristic, complemented
2	#82498	C₂	1	1	yes	maximal, characteristic, complemented
3	#82464	C₂	1	1	yes	maximal, characteristic, complemented
4	#76593	C₂	1	1	yes	maximal, characteristic, complemented
5	#76579	C₂	1	1	yes	maximal, characteristic, complemented
6	#76565	C₂	1	1	yes	maximal, characteristic
7	#76563	C₂	1	1	yes	maximal, characteristic, complemented
8	#76173	C₂	1	1	yes	maximal, characteristic
9	#76154	C₂	1	1	yes	maximal, characteristic, complemented
10	#76136	C₂	1	1	yes	maximal, characteristic, complemented
11	#76120	C₂	1	1	yes	maximal, characteristic, complemented
12	#75381	C₂	1	1	yes	maximal, characteristic
13	#75344	C₂	1	1	yes	maximal, characteristic, complemented
14	#75334	C₂	1	1	yes	maximal, characteristic
15	#75301	C₂	1	1	yes	maximal, characteristic, complemented
16	#75141	C₂	1	1	yes	maximal, characteristic, complemented
17	#75120	C₂	1	1	yes	maximal, characteristic, complemented
18	#75093	C₂	1	1	yes	maximal, characteristic, complemented
19	#74944	C₂	1	1	yes	maximal, characteristic, complemented
20	#73797	C₂	1	1	yes	maximal, characteristic, complemented
21	#73795	C₂	1	1	yes	maximal, characteristic
22	#73740	C₂	1	1	yes	maximal, characteristic, complemented
23	#73736	C₂	1	1	yes	maximal, characteristic
24	#73691	C₂	1	1	yes	maximal, characteristic, complemented
25	#73662	C₂	1	1	yes	maximal, characteristic, complemented
26	#73424	C₂	1	1	yes	maximal, characteristic
27	#73401	C₂	1	1	yes	maximal, characteristic, complemented
28	#73400	C₂	1	1	yes	maximal, characteristic, complemented
29	#73399	C₂	1	1	yes	maximal, characteristic, complemented
30	#73316	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#876	C₂	1	1	yes	maximal, characteristic, complemented
32	#38337	—	3	1	no	maximal, Sylow
33	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
34	C₂×#946	C₂²	1	1	yes	characteristic
35	C₂×#896	C₂²	1	1	yes	characteristic
36	C₂×#892	C₂²	1	1	yes	characteristic
37	C₂×#889	C₂²	1	1	yes	characteristic
38	C₂×#876	C₂²	1	1	yes	characteristic
39	C₃×#391	C₂²	1	1	yes	characteristic
40	C₃×#391	C₂²	1	1	yes	characteristic
41	C₃×#389	C₂²	1	1	yes	characteristic
42	C₃×#389	C₂²	1	1	yes	characteristic
43	C₃×#387	C₂²	1	1	yes	characteristic
44	C₃×#387	C₂²	1	1	yes	characteristic
45	C₃×#387	C₂²	1	1	yes	characteristic
46	C₃×#387	C₂²	1	1	yes	characteristic
47	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
48	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
49	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	C₃×#376	C₂²	1	1	yes	characteristic
51	C₃×#376	C₂²	1	1	yes	characteristic
52	C₃×C₄³	C₂²	1	1	yes	characteristic
53	#5231	C₂²	1	1	yes	characteristic
54	#5230	C₂²	1	1	yes	characteristic
55	#5229	C₂²	1	1	yes	characteristic
56	#4994	C₂²	1	1	yes	characteristic
57	#4994	C₂²	1	1	yes	characteristic
58	#4993	C₂²	1	1	yes	characteristic
59	#4993	C₂²	1	1	yes	characteristic
60	#4993	C₂²	1	1	yes	characteristic
61	#4992	C₂²	1	1	yes	characteristic
62	#4991	C₂²	1	1	yes	characteristic
63	#4991	C₂²	1	1	yes	characteristic
64	#4990	C₂²	1	1	yes	characteristic
65	#4990	C₂²	1	1	yes	characteristic
66	#4990	C₂²	1	1	yes	characteristic
67	#4990	C₂²	1	1	yes	characteristic
68	#4990	C₂²	1	1	yes	characteristic
69	#4989	C₂²	1	1	yes	characteristic
70	#4986	C₂²	1	1	yes	characteristic
71	#4985	C₂²	1	1	yes	characteristic
72	#4983	C₂²	1	1	yes	characteristic
73	#4982	C₂²	1	1	yes	characteristic
74	#4982	C₂²	1	1	yes	characteristic
75	#4980	C₂²	1	1	yes	characteristic
76	#4980	C₂²	1	1	yes	characteristic
77	#4979	C₂²	1	1	yes	characteristic
78	#4978	C₂²	1	1	yes	characteristic
79	#4978	C₂²	1	1	yes	characteristic
80	#4978	C₂²	1	1	yes	characteristic
81	#4976	C₂²	1	1	yes	characteristic
82	#4976	C₂²	1	1	yes	characteristic
83	#4976	C₂²	1	1	yes	characteristic
84	#4975	C₂²	1	1	yes	characteristic
85	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
86	#4973	C₂²	1	1	yes	characteristic
87	#4973	C₂²	1	1	yes	characteristic
88	#4972	C₂²	1	1	yes	characteristic
89	#4940	C₂²	1	1	yes	characteristic
90	#4940	C₂²	1	1	yes	characteristic
91	#4940	C₂²	1	1	yes	characteristic
92	#4940	C₂²	1	1	yes	characteristic
93	#4940	C₂²	1	1	yes	characteristic
94	#4940	C₂²	1	1	yes	characteristic
95	#4940	C₂²	1	1	yes	characteristic
96	#4940	C₂²	1	1	yes	characteristic
97	#4940	C₂²	1	1	yes	characteristic
98	#4940	C₂²	1	1	yes	characteristic
99	#4940	C₂²	1	1	yes	characteristic
100	#4940	C₂²	1	1	yes	characteristic
101	#4940	C₂²	1	1	yes	characteristic
102	#4940	C₂²	1	1	yes	characteristic
103	#4940	C₂²	1	1	yes	characteristic
104	#4939	C₂²	1	1	yes	characteristic
105	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
107	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
109	#4937	C₂²	1	1	yes	characteristic
110	#4933	C₂²	1	1	yes	characteristic
111	#4933	C₂²	1	1	yes	characteristic
112	#4933	C₂²	1	1	yes	characteristic
113	#4933	C₂²	1	1	yes	characteristic
114	#4933	C₂²	1	1	yes	characteristic
115	#4933	C₂²	1	1	yes	characteristic
116	#4933	C₂²	1	1	yes	characteristic
117	#4933	C₂²	1	1	yes	characteristic
118	#4933	C₂²	1	1	yes	characteristic
119	#4933	C₂²	1	1	yes	characteristic
120	#4933	C₂²	1	1	yes	characteristic
121	#4933	C₂²	1	1	yes	characteristic
122	#4933	C₂²	1	1	yes	characteristic
123	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
124	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
125	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
126	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
127	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
128	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
129	#4929	C₂²	1	1	yes	characteristic
130	#4928	C₂²	1	1	yes	characteristic
131	#4928	C₂²	1	1	yes	characteristic
132	#4676	C₂²	1	1	yes	characteristic
133	#4675	C₂²	1	1	yes	characteristic
134	#4675	C₂²	1	1	yes	characteristic
135	#4675	C₂²	1	1	yes	characteristic
136	#4674	C₂²	1	1	yes	characteristic
137	#4674	C₂²	1	1	yes	characteristic
138	#4673	C₂²	1	1	yes	characteristic
139	#4672	C₂²	1	1	yes	characteristic
140	#4672	C₂²	1	1	yes	characteristic
141	#4670	C₂²	1	1	yes	characteristic
142	#4670	C₂²	1	1	yes	characteristic
143	#4670	C₂²	1	1	yes	characteristic
144	#4669	C₂²	1	1	yes	characteristic
145	#4669	C₂²	1	1	yes	characteristic
146	#4669	C₂²	1	1	yes	characteristic
147	#4669	C₂²	1	1	yes	characteristic
148	#4669	C₂²	1	1	yes	characteristic
149	#4669	C₂²	1	1	yes	characteristic
150	#4668	C₂²	1	1	yes	characteristic
151	#4667	C₂²	1	1	yes	characteristic
152	#4667	C₂²	1	1	yes	characteristic
153	#4665	C₂²	1	1	yes	characteristic
154	#4665	C₂²	1	1	yes	characteristic
155	#4664	C₂²	1	1	yes	characteristic
156	C₃⋊#401	C₂²	1	1	yes	characteristic
157	#4660	C₂²	1	1	yes	characteristic
158	#4660	C₂²	1	1	yes	characteristic
159	#4659	C₂²	1	1	yes	characteristic
160	#4658	C₂²	1	1	yes	characteristic
161	#4658	C₂²	1	1	yes	characteristic
162	#4658	C₂²	1	1	yes	characteristic
163	#4658	C₂²	1	1	yes	characteristic
164	#4658	C₂²	1	1	yes	characteristic
165	#4658	C₂²	1	1	yes	characteristic
166	#4658	C₂²	1	1	yes	characteristic
167	#4657	C₂²	1	1	yes	characteristic
168	#4657	C₂²	1	1	yes	characteristic
169	#4657	C₂²	1	1	yes	characteristic
170	#4657	C₂²	1	1	yes	characteristic
171	#4655	C₂²	1	1	yes	characteristic
172	#4655	C₂²	1	1	yes	characteristic
173	#4654	C₂²	1	1	yes	characteristic
174	#4654	C₂²	1	1	yes	characteristic
175	#4654	C₂²	1	1	yes	characteristic
176	#4653	C₂²	1	1	yes	characteristic
177	#4653	C₂²	1	1	yes	characteristic
178	#4652	C₂²	1	1	yes	characteristic
179	#4652	C₂²	1	1	yes	characteristic
180	#4651	C₂²	1	1	yes	characteristic
181	#4650	C₂²	1	1	yes	characteristic
182	#4650	C₂²	1	1	yes	characteristic
183	#4649	C₂²	1	1	yes	characteristic
184	#4649	C₂²	1	1	yes	characteristic
185	#4647	C₂²	1	1	yes	characteristic
186	#4647	C₂²	1	1	yes	characteristic
187	#4646	C₂²	1	1	yes	characteristic
188	#2865	—	3	1	no	—
189	#2801	—	3	1	no	—
190	#2798	—	3	1	no	—
191	#2775	—	3	1	no	—
192	#2758	—	3	1	no	—
193	#2755	—	3	1	no	—
194	#2721	—	3	1	no	—
195	#2702	—	3	1	no	—
196	#2690	—	3	1	no	—
197	#2655	—	3	1	no	—
198	#2649	—	3	1	no	—
199	#2596	—	3	1	no	—
200	#2596	—	3	1	no	—
201	#2593	—	3	1	no	—
202	#2585	—	3	1	no	—
203	#2532	—	3	1	no	—
204	#2531	—	3	1	no	—
205	#2529	—	3	1	no	—
206	#2528	—	3	1	no	—
207	#2522	—	3	1	no	—
208	#2516	—	3	1	no	—
209	#2515	—	3	1	no	—
210	#2511	—	3	1	no	—
211	#2477	—	3	1	no	—
212	#2465	—	3	1	no	—
213	#2370	—	3	1	no	—
214	#2362	—	3	1	no	—
215	#2332	—	3	1	no	—
216	#2314	—	3	1	no	—
217	C₄×#126	—	3	1	no	—
218	#2295	D₃	1	1	yes	characteristic, complemented
219	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
220	C₂²×D₁₂	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
223	C₂²×Dic₆	C₂³	1	1	yes	characteristic
224	C₃×C₄×Q₈	—	2	4	no	—
225	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
245	#946	—	2	4	no	—
246	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
278	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×Dic₃⋊C₄	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×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	#896	—	2	4	no	—
315	#892	—	2	4	no	—
316	#889	—	2	4	no	—
317	#876	—	2	4	no	—
318	C₃×#95	C₂³	1	1	yes	characteristic
319	C₃×#95	C₂³	1	1	yes	characteristic
320	C₃×#95	C₂³	1	1	yes	characteristic
321	C₃×#95	C₂³	1	1	yes	characteristic
322	C₃×#95	C₂³	1	1	yes	characteristic
323	C₃×#95	C₂³	1	1	yes	characteristic
324	C₃×#95	C₂³	1	1	yes	characteristic
325	C₃×#95	C₂³	1	1	yes	characteristic
326	C₃×#95	C₂³	1	1	yes	characteristic
327	C₃×#95	C₂³	1	1	yes	characteristic
328	C₃×#95	C₂³	1	1	yes	characteristic
329	C₃×#95	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	C₂×#126	—	3	1	no	—
381	C₂×#125	—	3	1	no	—
382	C₂×C₂²⋊Q₈	—	3	1	no	—
383	C₂×C₂²⋊Q₈	—	3	1	no	—
384	C₂×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
385	C₂×#117	—	3	1	no	—
386	#401	—	3	1	no	—
387	#400	—	3	1	no	—
388	#400	—	3	1	no	—
389	#400	—	3	1	no	—
390	#400	—	3	1	no	—
391	#400	—	3	1	no	—
392	#400	—	3	1	no	—
393	#400	—	3	1	no	—
394	#400	—	3	1	no	—
395	#400	—	3	1	no	—
396	#400	—	3	1	no	—
397	#400	—	3	1	no	—
398	#400	—	3	1	no	—
399	#399	—	3	1	no	—
400	#399	—	3	1	no	—
401	#399	—	3	1	no	—
402	#398	—	3	1	no	—
403	#398	—	3	1	no	—
404	#398	—	3	1	no	—
405	#398	—	3	1	no	—
406	#398	—	3	1	no	—
407	#398	—	3	1	no	—
408	#398	—	3	1	no	—
409	#397	—	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	#396	—	3	1	no	—
416	#396	—	3	1	no	—
417	#396	—	3	1	no	—
418	#395	—	3	1	no	—
419	#395	—	3	1	no	—
420	#394	—	3	1	no	—
421	#394	—	3	1	no	—
422	#394	—	3	1	no	—
423	#394	—	3	1	no	—
424	#393	—	3	1	no	—
425	#393	—	3	1	no	—
426	#391	—	3	1	no	—
427	#391	—	3	1	no	—
428	#391	—	3	1	no	—
429	#391	—	3	1	no	—
430	#391	—	3	1	no	—
431	#391	C₂×D₃	1	1	yes	characteristic
432	#391	C₂×D₃	1	1	yes	characteristic
433	#390	—	3	1	no	—
434	#389	—	3	1	no	—
435	#389	—	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	C₂×D₃	1	1	yes	characteristic
443	#389	C₂×D₃	1	1	yes	characteristic
444	#388	—	3	1	no	—
445	#388	—	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	#388	—	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	—	3	1	no	—
489	#387	—	3	1	no	—
490	#387	—	3	1	no	—
491	#387	—	3	1	no	—
492	#387	—	3	1	no	—
493	#387	—	3	1	no	—
494	#387	—	3	1	no	—
495	#387	—	3	1	no	—
496	#387	—	3	1	no	—
497	#387	—	3	1	no	—
498	#387	—	3	1	no	—
499	#387	—	3	1	no	—
500	#387	C₂×D₃	1	1	yes	characteristic
501	#387	C₂×D₃	1	1	yes	characteristic
502	#387	C₂×D₃	1	1	yes	characteristic
503	#387	C₂×D₃	1	1	yes	characteristic
504	#386	—	3	1	no	—
505	#386	—	3	1	no	—
506	#385	—	3	1	no	—
507	#385	—	3	1	no	—
508	#384	—	3	1	no	—
509	#383	—	3	1	no	—
510	#383	—	3	1	no	—
511	#382	—	3	1	no	—
512	#382	—	3	1	no	—
513	#381	—	3	1	no	—
514	#380	—	3	1	no	—
515	#380	—	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	C₂×D₃	1	1	yes	characteristic
526	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
527	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
528	C₄×C₂²⋊C₄	—	3	1	no	—
529	C₄×C₂²⋊C₄	—	3	1	no	—
530	C₄×C₂²⋊C₄	—	3	1	no	—
531	C₄×C₂²⋊C₄	—	3	1	no	—
532	#376	C₂×D₃	1	1	yes	characteristic
533	#376	C₂×D₃	1	1	yes	characteristic
534	C₄³	C₂×D₃	1	1	yes	characteristic
535	C₂³×D₃	C₂⁴	1	1	yes	characteristic
536	C₂³×D₃	C₂⁴	1	1	yes	characteristic
537	C₂×C₃×Q₈	—	2	2	no	—
538	C₂×C₃×Q₈	—	2	2	no	—
539	C₂×C₃×Q₈	—	4	1	no	—
540	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
541	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
542	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
543	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
544	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
545	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
546	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
547	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
548	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
549	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
550	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
551	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
552	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
553	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
555	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
556	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
557	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
558	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
559	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
560	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
561	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
562	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
563	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
564	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
565	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
566	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
567	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
568	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
569	C₂×D₁₂	—	4	1	no	—
570	C₂×D₁₂	—	4	1	no	—
571	C₂×D₁₂	—	4	1	no	—
572	C₂×C₄×D₃	—	2	2	no	—
573	C₂×C₄×D₃	—	2	2	no	—
574	C₂×C₄×D₃	—	2	2	no	—
575	C₂×C₄×D₃	—	4	1	no	—
576	C₂×C₄×D₃	—	4	1	no	—
577	C₂×C₄×D₃	—	4	1	no	—
578	C₂×Dic₆	—	2	2	no	—
579	C₂×Dic₆	—	4	1	no	—
580	C₂×Dic₆	—	4	1	no	—
581	C₃×C₄⋊C₄	—	2	2	no	—
582	C₃×C₄⋊C₄	—	2	2	no	—
583	C₃×C₄⋊C₄	—	2	2	no	—
584	C₃×C₄⋊C₄	—	4	1	no	—
585	C₃×C₄⋊C₄	—	4	1	no	—
586	C₃×C₄⋊C₄	—	4	1	no	—
587	C₃×C₄⋊C₄	—	4	1	no	—
588	C₃×C₄⋊C₄	—	4	1	no	—
589	C₃×C₄⋊C₄	#41	1	4	yes	—
590	C₃×C₄²	—	2	2	no	—
591	C₃×C₄²	—	2	2	no	—
592	C₃×C₄²	—	2	2	no	—
593	C₃×C₄²	—	2	2	no	—
594	C₃×C₄²	—	2	2	no	—
595	C₃×C₄²	—	4	1	no	—
596	C₃×C₄²	—	4	1	no	—
597	C₃×C₄²	—	4	1	no	—
598	C₃×C₄²	—	4	1	no	—
599	C₃×C₄²	—	4	1	no	—
600	C₃×C₄²	—	4	1	no	—
601	(C₂×D₃)⋊C₄	—	2	2	no	—
602	(C₂×D₃)⋊C₄	—	2	2	no	—
603	(C₂×D₃)⋊C₄	—	2	2	no	—
604	(C₂×D₃)⋊C₄	—	2	2	no	—
605	(C₂×D₃)⋊C₄	—	2	2	no	—
606	(C₂×D₃)⋊C₄	—	2	2	no	—
607	(C₂×D₃)⋊C₄	—	2	2	no	—
608	(C₂×D₃)⋊C₄	—	2	2	no	—
609	(C₂×D₃)⋊C₄	—	2	2	no	—
610	(C₂×D₃)⋊C₄	—	2	2	no	—
611	(C₂×D₃)⋊C₄	—	2	2	no	—
612	(C₂×D₃)⋊C₄	—	4	1	no	—
613	(C₂×D₃)⋊C₄	—	4	1	no	—
614	(C₂×D₃)⋊C₄	—	4	1	no	—
615	(C₂×D₃)⋊C₄	—	4	1	no	—
616	(C₂×D₃)⋊C₄	—	4	1	no	—
617	(C₂×D₃)⋊C₄	—	4	1	no	—
618	(C₂×D₃)⋊C₄	—	4	1	no	—
619	(C₂×D₃)⋊C₄	—	4	1	no	—
620	(C₂×D₃)⋊C₄	—	4	1	no	—
621	(C₂×D₃)⋊C₄	—	4	1	no	—
622	(C₂×D₃)⋊C₄	—	4	1	no	—
623	(C₂×D₃)⋊C₄	—	4	1	no	—
624	(C₂×D₃)⋊C₄	—	4	1	no	—
625	(C₂×D₃)⋊C₄	—	4	1	no	—
626	(C₂×D₃)⋊C₄	—	4	1	no	—
627	C₄⋊Dic₃	—	2	2	no	—
628	C₄⋊Dic₃	—	2	2	no	—
629	C₄⋊Dic₃	—	2	2	no	—
630	C₄⋊Dic₃	—	4	1	no	—
631	C₄⋊Dic₃	—	4	1	no	—
632	C₄⋊Dic₃	—	4	1	no	—
633	Dic₃⋊C₄	—	2	2	no	—
634	Dic₃⋊C₄	—	2	2	no	—
635	Dic₃⋊C₄	—	2	2	no	—
636	Dic₃⋊C₄	—	2	2	no	—
637	Dic₃⋊C₄	—	2	2	no	—
638	Dic₃⋊C₄	—	2	2	no	—
639	Dic₃⋊C₄	—	2	2	no	—
640	Dic₃⋊C₄	—	2	2	no	—
641	Dic₃⋊C₄	—	2	2	no	—
642	Dic₃⋊C₄	—	2	2	no	—
643	Dic₃⋊C₄	—	4	1	no	—
644	Dic₃⋊C₄	—	4	1	no	—
645	Dic₃⋊C₄	—	4	1	no	—
646	Dic₃⋊C₄	—	4	1	no	—
647	Dic₃⋊C₄	—	4	1	no	—
648	Dic₃⋊C₄	—	4	1	no	—
649	Dic₃⋊C₄	—	4	1	no	—
650	Dic₃⋊C₄	—	4	1	no	—
651	Dic₃⋊C₄	—	4	1	no	—
652	Dic₃⋊C₄	—	4	1	no	—
653	Dic₃⋊C₄	—	4	1	no	—
654	Dic₃⋊C₄	—	4	1	no	—
655	Dic₃⋊C₄	—	4	1	no	—
656	Dic₃⋊C₄	—	4	1	no	—
657	Dic₃⋊C₄	—	4	1	no	—
658	Dic₃⋊C₄	#41	1	4	yes	—
659	C₄×Dic₃	—	2	2	no	—
660	C₄×Dic₃	—	2	2	no	—
661	C₄×Dic₃	—	2	2	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	C₂²×Q₈	—	3	1	no	—
670	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
671	C₂²×D₄	—	3	1	no	—
672	C₂³×C₄	—	3	1	no	—
673	C₂³×C₄	—	3	1	no	—
674	#126	—	6	4	no	—
675	#125	—	6	4	no	—
676	C₂²⋊Q₈	—	6	4	no	—
677	C₂²⋊Q₈	—	6	4	no	—
678	C₄×Q₈	—	2	4	no	—
679	#117	—	6	4	no	—
680	C₂×C₄⋊C₄	—	3	1	no	—
681	C₂×C₄⋊C₄	—	3	1	no	—
682	C₂×C₄⋊C₄	—	3	1	no	—
683	C₂×C₄⋊C₄	—	3	1	no	—
684	C₂×C₄⋊C₄	—	3	1	no	—
685	C₂×C₄⋊C₄	—	3	1	no	—
686	C₂×C₄⋊C₄	—	3	1	no	—
687	C₂×C₄⋊C₄	—	3	1	no	—
688	C₂×C₄⋊C₄	—	3	1	no	—
689	C₂×C₄⋊C₄	—	3	1	no	—
690	C₂×C₄⋊C₄	—	3	1	no	—
691	C₂×C₄⋊C₄	—	3	1	no	—
692	C₂×C₄⋊C₄	—	3	1	no	—
693	C₂×C₄⋊C₄	—	3	1	no	—
694	C₂×C₄⋊C₄	—	3	1	no	—
695	C₂×C₄⋊C₄	—	3	1	no	—
696	C₂×C₄⋊C₄	—	3	1	no	—
697	C₂×C₄⋊C₄	—	3	1	no	—
698	C₂×C₄⋊C₄	—	3	1	no	—
699	C₂×C₄⋊C₄	—	3	1	no	—
700	C₂×C₄⋊C₄	—	3	1	no	—
701	C₂×C₄⋊C₄	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
713	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
714	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
715	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
716	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
717	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
718	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
719	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
720	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
721	C₂×C₂²⋊C₄	—	3	1	no	—
722	C₂×C₂²⋊C₄	—	3	1	no	—
723	C₂×C₂²⋊C₄	—	3	1	no	—
724	C₂×C₂²⋊C₄	—	3	1	no	—
725	C₂×C₂²⋊C₄	—	3	1	no	—
726	C₂×C₂²⋊C₄	—	3	1	no	—
727	C₂×C₂²⋊C₄	—	3	1	no	—
728	C₂×C₂²⋊C₄	—	3	1	no	—
729	C₂×C₂²⋊C₄	—	3	1	no	—
730	C₂×C₂²⋊C₄	—	3	1	no	—
731	C₂×C₂²⋊C₄	—	3	1	no	—
732	C₂×C₂²⋊C₄	—	3	1	no	—
733	C₂×C₂²⋊C₄	—	3	1	no	—
734	C₂×C₂²⋊C₄	—	3	1	no	—
735	C₂×C₂²⋊C₄	—	3	1	no	—
736	C₂×C₂²⋊C₄	—	3	1	no	—
737	C₂×C₂²⋊C₄	—	3	1	no	—
738	C₂×C₂²⋊C₄	—	3	1	no	—
739	C₂×C₂²⋊C₄	—	3	1	no	—
740	C₂×C₂²⋊C₄	—	3	1	no	—
741	C₂×C₂²⋊C₄	—	3	1	no	—
742	C₂×C₂²⋊C₄	—	3	1	no	—
743	C₂×C₂²⋊C₄	—	3	1	no	—
744	C₂×C₂²⋊C₄	—	3	1	no	—
745	C₂×C₂²⋊C₄	—	3	1	no	—
746	C₂×C₂²⋊C₄	—	3	1	no	—
747	C₂×C₄²	—	3	1	no	—
748	C₂×C₄²	—	3	1	no	—
749	C₂×C₄²	—	3	1	no	—
750	C₂×C₄²	—	3	1	no	—
751	C₂×C₄²	—	3	1	no	—
752	C₂×C₄²	—	3	1	no	—
753	C₂×C₄²	—	3	1	no	—
754	C₂×C₄²	—	3	1	no	—
755	C₂×C₄²	—	3	1	no	—
756	C₂×C₄²	—	3	1	no	—
757	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
758	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
759	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
760	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
761	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
762	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
763	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
764	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
765	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
766	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
767	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
768	#95	—	3	1	no	—
769	#95	—	3	1	no	—
770	#95	—	3	1	no	—
771	#95	—	3	1	no	—
772	#95	—	3	1	no	—
773	#95	—	3	1	no	—
774	#95	—	3	1	no	—
775	#95	—	3	1	no	—
776	#95	—	3	1	no	—
777	#95	—	3	1	no	—
778	#95	—	3	1	no	—
779	#95	—	3	1	no	—
780	#95	—	3	1	no	—
781	#95	—	3	1	no	—
782	#95	—	3	1	no	—
783	#95	—	3	1	no	—
784	#95	—	3	1	no	—
785	#95	—	3	1	no	—
786	#95	—	3	1	no	—
787	#95	—	3	1	no	—
788	#95	—	3	1	no	—
789	#95	—	3	1	no	—
790	#95	—	3	1	no	—
791	#95	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
817	#95	C₂²×D₃	1	1	yes	characteristic
818	#95	C₂²×D₃	1	1	yes	characteristic
819	#95	C₂²×D₃	1	1	yes	characteristic
820	#95	C₂²×D₃	1	1	yes	characteristic
821	#95	C₂²×D₃	1	1	yes	characteristic
822	#95	C₂²×D₃	1	1	yes	characteristic
823	#95	C₂²×D₃	1	1	yes	characteristic
824	#95	C₂²×D₃	1	1	yes	characteristic
825	#95	C₂²×D₃	1	1	yes	characteristic
826	#95	C₂²×D₃	1	1	yes	characteristic
827	#95	C₂²×D₃	1	1	yes	characteristic
828	#95	C₂²×D₃	1	1	yes	characteristic
829	#95	C₂²×D₃	1	1	yes	characteristic
830	C₂³×C₃	C₂⁵	1	1	yes	characteristic
831	C₂²×D₃	—	2	1	no	—
832	C₂²×D₃	—	2	1	no	—
833	C₂²×D₃	—	2	1	no	—
834	C₂²×D₃	—	2	1	no	—
835	C₂²×D₃	—	2	1	no	—
836	C₂²×D₃	—	2	1	no	—
837	C₂²×D₃	—	2	1	no	—
838	C₂²×D₃	—	2	1	no	—
839	C₂²×D₃	—	2	1	no	—
840	C₂²×D₃	—	2	1	no	—
841	C₂²×D₃	—	2	1	no	—
842	C₂²×D₃	—	2	1	no	—
843	C₂²×D₃	—	2	1	no	—
844	C₂²×D₃	—	2	1	no	—
845	C₃×Q₈	—	4	4	no	—
846	C₂×C₃×C₄	—	2	1	no	—
847	C₂×C₃×C₄	—	2	1	no	—
848	C₂×C₃×C₄	—	2	1	no	—
849	C₂×C₃×C₄	—	2	1	no	—
850	C₂×C₃×C₄	—	2	1	no	—
851	C₂×C₃×C₄	—	2	1	no	—
852	C₂×C₃×C₄	—	2	1	no	—
853	C₂×C₃×C₄	—	2	1	no	—
854	C₂×C₃×C₄	—	2	1	no	—
855	C₂×C₃×C₄	—	2	1	no	—
856	C₂×C₃×C₄	—	2	1	no	—
857	C₂×C₃×C₄	—	2	1	no	—
858	C₂×C₃×C₄	—	2	1	no	—
859	C₂×C₃×C₄	—	2	1	no	—
860	C₂×C₃×C₄	—	2	1	no	—
861	C₂×C₃×C₄	—	2	1	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	C₂×#41	1	2	yes	—
887	C₂×C₃×C₄	C₂×#41	1	2	yes	—
888	C₂×C₃×C₄	C₂×#41	1	2	yes	—
889	C₂×C₃×C₄	C₂×#41	1	2	yes	—
890	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
891	C₂×Dic₃	—	2	1	no	—
892	C₂×Dic₃	—	2	1	no	—
893	C₂×Dic₃	—	2	1	no	—
894	C₂×Dic₃	—	2	1	no	—
895	C₂×Dic₃	—	2	1	no	—
896	C₂×Dic₃	—	2	1	no	—
897	C₂×Dic₃	—	2	1	no	—
898	C₂×Dic₃	—	2	1	no	—
899	C₂×Dic₃	—	2	1	no	—
900	C₂×Dic₃	—	2	1	no	—
901	C₂×Dic₃	—	2	1	no	—
902	C₂×Dic₃	—	2	1	no	—
903	C₂×Dic₃	—	2	1	no	—
904	C₂×Dic₃	—	2	1	no	—
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	C₂×#41	1	2	yes	—
932	C₂×Dic₃	C₂×#41	1	2	yes	—
933	D₁₂	—	8	2	no	—
934	C₄×D₃	—	4	4	no	—
935	C₄×D₃	—	8	2	no	—
936	Dic₆	—	8	2	no	—
937	C₂⁴	—	3	1	no	—
938	C₂⁴	—	3	1	no	—
939	C₂×Q₈	—	2	2	no	—
940	C₂×Q₈	—	2	2	no	—
941	C₂×Q₈	—	4	1	no	—
942	C₂×Q₈	—	6	2	no	—
943	C₂×Q₈	—	12	1	no	—
944	C₂×Q₈	—	12	1	no	—
945	C₂×D₄	—	12	1	no	—
946	C₂×D₄	—	12	1	no	—
947	C₂×D₄	—	12	1	no	—
948	C₂²×C₄	—	3	1	no	—
949	C₂²×C₄	—	3	1	no	—
950	C₂²×C₄	—	3	1	no	—
951	C₂²×C₄	—	3	1	no	—
952	C₂²×C₄	—	3	1	no	—
953	C₂²×C₄	—	3	1	no	—
954	C₂²×C₄	—	3	1	no	—
955	C₂²×C₄	—	3	1	no	—
956	C₂²×C₄	—	3	1	no	—
957	C₂²×C₄	—	3	1	no	—
958	C₂²×C₄	—	3	1	no	—
959	C₂²×C₄	—	3	1	no	—
960	C₂²×C₄	—	3	1	no	—
961	C₂²×C₄	—	3	1	no	—
962	C₂²×C₄	—	6	2	no	—
963	C₂²×C₄	—	6	2	no	—
964	C₂²×C₄	—	6	2	no	—
965	C₂²×C₄	—	12	1	no	—
966	C₂²×C₄	—	12	1	no	—
967	C₂²×C₄	—	12	1	no	—
968	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
969	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
970	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
971	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
972	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
973	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
974	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
975	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
976	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
977	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
978	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
979	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
980	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
981	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
982	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	3	4	no	—
987	C₄⋊C₄	—	4	1	no	—
988	C₄⋊C₄	—	4	1	no	—
989	C₄⋊C₄	—	4	1	no	—
990	C₄⋊C₄	—	4	1	no	—
991	C₄⋊C₄	—	4	1	no	—
992	C₄⋊C₄	—	6	2	no	—
993	C₄⋊C₄	—	6	2	no	—
994	C₄⋊C₄	—	6	2	no	—
995	C₄⋊C₄	—	6	2	no	—
996	C₄⋊C₄	—	6	2	no	—
997	C₄⋊C₄	—	6	2	no	—
998	C₄⋊C₄	—	6	2	no	—
999	C₄⋊C₄	—	6	2	no	—
1000	C₄⋊C₄	—	6	2	no	—
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	—	12	1	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	#235	1	4	yes	—
1024	C₂²⋊C₄	—	6	2	no	—
1025	C₂²⋊C₄	—	6	2	no	—
1026	C₂²⋊C₄	—	6	2	no	—
1027	C₂²⋊C₄	—	6	2	no	—
1028	C₂²⋊C₄	—	6	2	no	—
1029	C₂²⋊C₄	—	6	2	no	—
1030	C₂²⋊C₄	—	6	2	no	—
1031	C₂²⋊C₄	—	6	2	no	—
1032	C₂²⋊C₄	—	6	2	no	—
1033	C₂²⋊C₄	—	6	2	no	—
1034	C₂²⋊C₄	—	6	2	no	—
1035	C₂²⋊C₄	—	12	1	no	—
1036	C₂²⋊C₄	—	12	1	no	—
1037	C₂²⋊C₄	—	12	1	no	—
1038	C₂²⋊C₄	—	12	1	no	—
1039	C₂²⋊C₄	—	12	1	no	—
1040	C₂²⋊C₄	—	12	1	no	—
1041	C₂²⋊C₄	—	12	1	no	—
1042	C₂²⋊C₄	—	12	1	no	—
1043	C₂²⋊C₄	—	12	1	no	—
1044	C₂²⋊C₄	—	12	1	no	—
1045	C₂²⋊C₄	—	12	1	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	C₄²	—	2	2	no	—
1051	C₄²	—	2	2	no	—
1052	C₄²	—	2	2	no	—
1053	C₄²	—	2	2	no	—
1054	C₄²	—	2	2	no	—
1055	C₄²	—	4	1	no	—
1056	C₄²	—	4	1	no	—
1057	C₄²	—	4	1	no	—
1058	C₄²	—	4	1	no	—
1059	C₄²	—	4	1	no	—
1060	C₄²	—	4	1	no	—
1061	C₄²	—	6	2	no	—
1062	C₄²	—	6	2	no	—
1063	C₄²	—	6	2	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	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1072	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1073	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1074	C₂²×C₃	#585	1	1	yes	characteristic
1075	C₂²×C₃	#585	1	1	yes	characteristic
1076	C₂²×C₃	#585	1	1	yes	characteristic
1077	C₂²×C₃	#585	1	1	yes	characteristic
1078	C₂×D₃	—	4	1	no	—
1079	C₂×D₃	—	4	1	no	—
1080	C₂×D₃	—	4	1	no	—
1081	C₂×D₃	—	4	1	no	—
1082	C₂×D₃	—	4	1	no	—
1083	C₂×D₃	—	4	1	no	—
1084	C₂×D₃	—	4	1	no	—
1085	C₂×D₃	—	4	1	no	—
1086	C₂×D₃	—	4	1	no	—
1087	C₂×D₃	—	4	1	no	—
1088	C₂×D₃	—	4	1	no	—
1089	C₂×D₃	—	4	1	no	—
1090	C₂×D₃	—	4	1	no	—
1091	C₂×D₃	—	4	1	no	—
1092	C₃×C₄	—	2	2	no	—
1093	C₃×C₄	—	2	2	no	—
1094	C₃×C₄	—	2	2	no	—
1095	C₃×C₄	—	2	2	no	—
1096	C₃×C₄	—	2	2	no	—
1097	C₃×C₄	—	4	1	no	—
1098	C₃×C₄	—	4	1	no	—
1099	C₃×C₄	—	4	1	no	—
1100	C₃×C₄	—	4	1	no	—
1101	C₃×C₄	—	4	1	no	—
1102	C₃×C₄	—	4	1	no	—
1103	C₃×C₄	—	4	1	no	—
1104	C₃×C₄	—	4	1	no	—
1105	C₃×C₄	—	4	1	no	—
1106	C₃×C₄	—	4	1	no	—
1107	Dic₃	—	2	2	no	—
1108	Dic₃	—	2	2	no	—
1109	Dic₃	—	4	1	no	—
1110	Dic₃	—	4	1	no	—
1111	Dic₃	—	4	1	no	—
1112	Dic₃	—	4	1	no	—
1113	Dic₃	—	4	1	no	—
1114	Dic₃	—	4	1	no	—
1115	Dic₃	—	4	1	no	—
1116	Dic₃	—	4	1	no	—
1117	Dic₃	—	4	1	no	—
1118	Dic₃	—	4	1	no	—
1119	Dic₃	—	4	1	no	—
1120	Dic₃	—	4	1	no	—
1121	C₂³	—	6	1	no	—
1122	C₂³	—	6	1	no	—
1123	C₂³	—	6	1	no	—
1124	C₂³	—	6	1	no	—
1125	C₂³	—	6	1	no	—
1126	C₂³	—	6	1	no	—
1127	C₂³	—	6	1	no	—
1128	C₂³	—	6	1	no	—
1129	C₂³	—	6	1	no	—
1130	C₂³	—	6	1	no	—
1131	C₂³	—	6	1	no	—
1132	C₂³	—	6	1	no	—
1133	C₂³	—	6	1	no	—
1134	C₂³	—	6	1	no	—
1135	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1136	Q₈	—	4	4	no	—
1137	Q₈	—	24	2	no	—
1138	D₄	—	24	2	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	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	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	3	2	no	—
1180	C₂×C₄	—	3	2	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	—	12	4	no	—
1222	C₂×C₄	—	24	2	no	—
1223	C₂×C₄	C₂×#235	1	2	yes	—
1224	C₂×C₄	C₂×#235	1	2	yes	—
1225	C₂×C₄	C₂×#235	1	2	yes	—
1226	C₂×C₄	#1007	1	2	yes	—
1227	C₂×C₄	D₃×#41	1	2	yes	—
1228	C₂×C₃	#3461	1	1	yes	characteristic
1229	C₂×C₃	#3475	1	1	yes	characteristic
1230	C₂×C₃	#3516	1	1	yes	characteristic
1231	C₂×C₃	#3521	1	1	yes	characteristic
1232	C₂×C₃	#3524	1	1	yes	characteristic
1233	C₂×C₃	#3557	1	1	yes	characteristic
1234	C₂×C₃	#3566	1	1	yes	characteristic
1235	D₃	—	8	1	no	—
1236	D₃	—	8	1	no	—
1237	C₂²	—	12	1	no	—
1238	C₂²	—	12	1	no	—
1239	C₂²	—	12	1	no	—
1240	C₂²	—	12	1	no	—
1241	C₂²	—	12	1	no	—
1242	C₂²	—	12	1	no	—
1243	C₂²	—	12	1	no	—
1244	C₂²	—	12	1	no	—
1245	C₂²	—	12	1	no	—
1246	C₂²	—	12	1	no	—
1247	C₂²	—	12	1	no	—
1248	C₂²	—	12	1	no	—
1249	C₂²	—	12	1	no	—
1250	C₂²	—	12	1	no	—
1251	C₂²	C₂²×#235	1	1	yes	characteristic
1252	C₂²	C₂×#1007	1	1	yes	characteristic
1253	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1254	C₂²	#5964	1	1	yes	characteristic
1255	C₂²	#5964	1	1	yes	characteristic
1256	C₂²	#5964	1	1	yes	characteristic
1257	C₂²	#5964	1	1	yes	characteristic
1258	C₄	—	2	2	no	—
1259	C₄	—	2	2	no	—
1260	C₄	—	2	2	no	—
1261	C₄	—	2	2	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	4	1	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	6	2	no	—
1274	C₄	—	6	2	no	—
1275	C₄	—	12	1	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	C₃	#38337	1	1	yes	characteristic, complemented, Sylow
1288	C₂	—	24	1	no	—
1289	C₂	—	24	1	no	—
1290	C₂	#85744	1	1	yes	characteristic
1291	C₂	#85820	1	1	yes	characteristic
1292	C₂	#85854	1	1	yes	characteristic
1293	C₂	#86131	1	1	yes	characteristic
1294	C₂	#86183	1	1	yes	characteristic
1295	C₂	#86275	1	1	yes	characteristic
1296	C₂	#86290	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₃×#2295	C₂
prime radical	C₂²×D₁₂	C₂³
hypercenter	#2295	D₃
hypocenter	C₃	#38337
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2295

Complements

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

N	H ≅ G/N	type
1. C₃×#2295	C₂	semidirect
2. #82498	C₂	semidirect
3. #82464	C₂	semidirect
4. #76593	C₂	semidirect
5. #76579	C₂	semidirect
7. #76563	C₂	semidirect
9. #76154	C₂	semidirect
10. #76136	C₂	semidirect
11. #76120	C₂	semidirect
13. #75344	C₂	semidirect
15. #75301	C₂	semidirect
16. #75141	C₂	semidirect
17. #75120	C₂	semidirect
18. #75093	C₂	semidirect
19. #74944	C₂	semidirect
20. #73797	C₂	semidirect
22. #73740	C₂	semidirect
24. #73691	C₂	semidirect
25. #73662	C₂	semidirect
27. #73401	C₂	semidirect
28. #73400	C₂	semidirect
29. #73399	C₂	semidirect
30. #73316	C₂	semidirect
31. C₄×#876	C₂	semidirect
218. #2295	D₃	semidirect
1287. C₃	#38337	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2295	2
#82498	2
#82464	2
#76593	2
#76579	2
#76565	2
#76563	2
#76173	2
#76154	2
#76136	2
#76120	2
#75381	2
#75344	2
#75334	2
#75301	2
#75141	2
#75120	2
#75093	2
#74944	2
#73797	2
#73795	2
#73740	2
#73736	2
#73691	2
#73662	2
#73424	2
#73401	2
#73400	2
#73399	2
#73316	2
C₄×#876	2
#38337	3