Subgroups — #11225987

Order 768.

1542 conjugacy classes of subgroups.

The subgroup lattice has 1290 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2568	C₂	1	1	yes	maximal, characteristic, complemented
2	#83248	C₂	1	1	yes	maximal, characteristic
3	#83242	C₂	1	1	yes	maximal, characteristic, complemented
4	#82473	C₂	1	1	yes	maximal, characteristic
5	#82465	C₂	1	1	yes	maximal, characteristic, complemented
6	#78244	C₂	1	1	yes	maximal, characteristic
7	#78181	C₂	1	1	yes	maximal, characteristic, complemented
8	#78175	C₂	1	1	yes	maximal, characteristic, complemented
9	#78159	C₂	1	1	yes	maximal, characteristic, complemented
10	#78157	C₂	1	1	yes	maximal, characteristic, complemented
11	#78150	C₂	1	1	yes	maximal, characteristic
12	#78139	C₂	1	1	yes	maximal, characteristic
13	#78132	C₂	1	1	yes	maximal, characteristic
14	#76591	C₂	1	1	yes	maximal, characteristic, complemented
15	#76589	C₂	1	1	yes	maximal, characteristic
16	#76583	C₂	1	1	yes	maximal, characteristic
17	#76581	C₂	1	1	yes	maximal, characteristic
18	#76557	C₂	1	1	yes	maximal, characteristic, complemented
19	#76556	C₂	1	1	yes	maximal, characteristic, complemented
20	#76517	C₂	1	1	yes	maximal, characteristic
21	#76517	C₂	1	1	yes	maximal, characteristic
22	#76510	C₂	1	1	yes	maximal, characteristic, complemented
23	#76501	C₂	1	1	yes	maximal, characteristic
24	#76494	C₂	1	1	yes	maximal, characteristic, complemented
25	#76486	C₂	1	1	yes	maximal, characteristic, complemented
26	#74216	C₂	1	1	yes	maximal, characteristic, complemented
27	#74213	C₂	1	1	yes	maximal, characteristic
28	#74156	C₂	1	1	yes	maximal, characteristic
29	#74151	C₂	1	1	yes	maximal, characteristic, complemented
30	#73709	C₂	1	1	yes	maximal, characteristic, complemented
31	#73648	C₂	1	1	yes	maximal, characteristic
32	#45001	—	3	1	no	maximal, Sylow
33	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
35	C₂×#944	C₂²	1	1	yes	characteristic
36	C₂×#944	C₂²	1	1	yes	characteristic
37	C₂×#944	C₂²	1	1	yes	characteristic
38	C₂×#898	C₂²	1	1	yes	characteristic
39	C₂×#898	C₂²	1	1	yes	characteristic
40	C₂×#896	C₂²	1	1	yes	characteristic
41	C₂×#888	C₂²	1	1	yes	characteristic
42	C₂×#887	C₂²	1	1	yes	characteristic
43	C₂×#872	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
45	C₃×#400	C₂²	1	1	yes	characteristic
46	C₃×#400	C₂²	1	1	yes	characteristic
47	C₃×#400	C₂²	1	1	yes	characteristic
48	C₃×#400	C₂²	1	1	yes	characteristic
49	C₃×#391	C₂²	1	1	yes	characteristic
50	C₃×#391	C₂²	1	1	yes	characteristic
51	C₃×#391	C₂²	1	1	yes	characteristic
52	C₃×#391	C₂²	1	1	yes	characteristic
53	C₃×#391	C₂²	1	1	yes	characteristic
54	C₃×#391	C₂²	1	1	yes	characteristic
55	C₃×#382	C₂²	1	1	yes	characteristic
56	C₃×#382	C₂²	1	1	yes	characteristic
57	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
58	#5231	C₂²	1	1	yes	characteristic
59	#5231	C₂²	1	1	yes	characteristic
60	#5231	C₂²	1	1	yes	characteristic
61	#5230	C₂²	1	1	yes	characteristic
62	#5230	C₂²	1	1	yes	characteristic
63	#5230	C₂²	1	1	yes	characteristic
64	#5229	C₂²	1	1	yes	characteristic
65	#5229	C₂²	1	1	yes	characteristic
66	#5229	C₂²	1	1	yes	characteristic
67	#4994	C₂²	1	1	yes	characteristic
68	#4994	C₂²	1	1	yes	characteristic
69	#4992	C₂²	1	1	yes	characteristic
70	#4990	C₂²	1	1	yes	characteristic
71	#4990	C₂²	1	1	yes	characteristic
72	#4990	C₂²	1	1	yes	characteristic
73	#4986	C₂²	1	1	yes	characteristic
74	#4985	C₂²	1	1	yes	characteristic
75	#4985	C₂²	1	1	yes	characteristic
76	#4985	C₂²	1	1	yes	characteristic
77	#4981	C₂²	1	1	yes	characteristic
78	#4980	C₂²	1	1	yes	characteristic
79	#4980	C₂²	1	1	yes	characteristic
80	#4980	C₂²	1	1	yes	characteristic
81	#4979	C₂²	1	1	yes	characteristic
82	#4979	C₂²	1	1	yes	characteristic
83	#4978	C₂²	1	1	yes	characteristic
84	#4978	C₂²	1	1	yes	characteristic
85	#4978	C₂²	1	1	yes	characteristic
86	#4978	C₂²	1	1	yes	characteristic
87	#4978	C₂²	1	1	yes	characteristic
88	#4976	C₂²	1	1	yes	characteristic
89	#4976	C₂²	1	1	yes	characteristic
90	#4976	C₂²	1	1	yes	characteristic
91	#4976	C₂²	1	1	yes	characteristic
92	#4976	C₂²	1	1	yes	characteristic
93	#4976	C₂²	1	1	yes	characteristic
94	#4975	C₂²	1	1	yes	characteristic
95	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
96	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
97	#4972	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	#4937	C₂²	1	1	yes	characteristic
103	#4933	C₂²	1	1	yes	characteristic
104	#4933	C₂²	1	1	yes	characteristic
105	#4933	C₂²	1	1	yes	characteristic
106	#4933	C₂²	1	1	yes	characteristic
107	#4933	C₂²	1	1	yes	characteristic
108	#4933	C₂²	1	1	yes	characteristic
109	#4932	C₂²	1	1	yes	characteristic
110	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
114	#4929	C₂²	1	1	yes	characteristic
115	#4928	C₂²	1	1	yes	characteristic
116	#4676	C₂²	1	1	yes	characteristic
117	#4675	C₂²	1	1	yes	characteristic
118	#4675	C₂²	1	1	yes	characteristic
119	#4675	C₂²	1	1	yes	characteristic
120	#4674	C₂²	1	1	yes	characteristic
121	#4673	C₂²	1	1	yes	characteristic
122	#4673	C₂²	1	1	yes	characteristic
123	#4673	C₂²	1	1	yes	characteristic
124	#4670	C₂²	1	1	yes	characteristic
125	#4669	C₂²	1	1	yes	characteristic
126	#4669	C₂²	1	1	yes	characteristic
127	#4669	C₂²	1	1	yes	characteristic
128	#4669	C₂²	1	1	yes	characteristic
129	#4667	C₂²	1	1	yes	characteristic
130	#4667	C₂²	1	1	yes	characteristic
131	#4666	C₂²	1	1	yes	characteristic
132	#4666	C₂²	1	1	yes	characteristic
133	#4666	C₂²	1	1	yes	characteristic
134	C₃⋊#401	C₂²	1	1	yes	characteristic
135	C₃⋊#401	C₂²	1	1	yes	characteristic
136	C₃⋊#401	C₂²	1	1	yes	characteristic
137	#4660	C₂²	1	1	yes	characteristic
138	#4659	C₂²	1	1	yes	characteristic
139	#4659	C₂²	1	1	yes	characteristic
140	#4659	C₂²	1	1	yes	characteristic
141	#4658	C₂²	1	1	yes	characteristic
142	#4658	C₂²	1	1	yes	characteristic
143	#4658	C₂²	1	1	yes	characteristic
144	#4657	C₂²	1	1	yes	characteristic
145	#4656	C₂²	1	1	yes	characteristic
146	#4655	C₂²	1	1	yes	characteristic
147	#4655	C₂²	1	1	yes	characteristic
148	#4655	C₂²	1	1	yes	characteristic
149	#4654	C₂²	1	1	yes	characteristic
150	#4654	C₂²	1	1	yes	characteristic
151	#4654	C₂²	1	1	yes	characteristic
152	#4654	C₂²	1	1	yes	characteristic
153	#4653	C₂²	1	1	yes	characteristic
154	#4653	C₂²	1	1	yes	characteristic
155	#4652	C₂²	1	1	yes	characteristic
156	#4652	C₂²	1	1	yes	characteristic
157	#4652	C₂²	1	1	yes	characteristic
158	#4651	C₂²	1	1	yes	characteristic
159	#4651	C₂²	1	1	yes	characteristic
160	#4651	C₂²	1	1	yes	characteristic
161	#4650	C₂²	1	1	yes	characteristic
162	#4650	C₂²	1	1	yes	characteristic
163	#4650	C₂²	1	1	yes	characteristic
164	#4649	C₂²	1	1	yes	characteristic
165	#4649	C₂²	1	1	yes	characteristic
166	#4649	C₂²	1	1	yes	characteristic
167	#4649	C₂²	1	1	yes	characteristic
168	#4649	C₂²	1	1	yes	characteristic
169	#4649	C₂²	1	1	yes	characteristic
170	#4648	C₂²	1	1	yes	characteristic
171	#4648	C₂²	1	1	yes	characteristic
172	#4647	C₂²	1	1	yes	characteristic
173	#4647	C₂²	1	1	yes	characteristic
174	#4647	C₂²	1	1	yes	characteristic
175	#4646	C₂²	1	1	yes	characteristic
176	#4646	C₂²	1	1	yes	characteristic
177	#4646	C₂²	1	1	yes	characteristic
178	#4646	C₂²	1	1	yes	characteristic
179	#4646	C₂²	1	1	yes	characteristic
180	#4646	C₂²	1	1	yes	characteristic
181	#4646	C₂²	1	1	yes	characteristic
182	#4646	C₂²	1	1	yes	characteristic
183	#4646	C₂²	1	1	yes	characteristic
184	#4646	C₂²	1	1	yes	characteristic
185	#4646	C₂²	1	1	yes	characteristic
186	#4646	C₂²	1	1	yes	characteristic
187	#4646	C₂²	1	1	yes	characteristic
188	#2789	—	3	1	no	—
189	#2789	—	3	1	no	—
190	#2775	—	3	1	no	—
191	#2775	—	3	1	no	—
192	#2759	—	3	1	no	—
193	#2759	—	3	1	no	—
194	#2716	—	3	1	no	—
195	#2716	—	3	1	no	—
196	#2605	—	3	1	no	—
197	#2605	—	3	1	no	—
198	#2568	—	3	1	no	—
199	#2568	D₃	1	1	yes	characteristic, complemented
200	#2551	—	3	1	no	—
201	#2533	—	3	1	no	—
202	#2533	—	3	1	no	—
203	#2514	—	3	1	no	—
204	#2511	—	3	1	no	—
205	#2496	—	3	1	no	—
206	#2492	—	3	1	no	—
207	#2492	—	3	1	no	—
208	#2469	—	3	1	no	—
209	#2469	—	3	1	no	—
210	#2451	—	3	1	no	—
211	#2439	—	3	1	no	—
212	#2401	—	3	1	no	—
213	#2369	—	3	1	no	—
214	#2365	—	3	1	no	—
215	#2362	—	3	1	no	—
216	#2346	—	3	1	no	—
217	#2331	—	3	1	no	—
218	#2320	—	3	1	no	—
219	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
220	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
221	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
223	C₂²×Dic₆	C₂³	1	1	yes	characteristic
224	C₂²×Dic₆	C₂³	1	1	yes	characteristic
225	C₂²×Dic₆	C₂³	1	1	yes	characteristic
226	C₂²×Dic₆	C₂³	1	1	yes	characteristic
227	C₃×C₄⋊Q₈	—	4	2	no	—
228	C₃×C₄×Q₈	—	4	2	no	—
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×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×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	#944	—	2	4	no	—
244	#944	—	2	4	no	—
245	#944	—	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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
266	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×Dic₃⋊C₄	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×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	#898	—	4	2	no	—
310	#898	—	4	2	no	—
311	#896	—	2	4	no	—
312	#888	—	4	2	no	—
313	#887	—	4	2	no	—
314	#872	—	2	4	no	—
315	C₄×Dic₆	—	2	4	no	—
316	C₃×#95	C₂³	1	1	yes	characteristic
317	C₃×#95	C₂³	1	1	yes	characteristic
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	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×C₄⋊Q₈	—	3	1	no	—
387	C₂×C₄⋊Q₈	—	3	1	no	—
388	C₂×C₄⋊Q₈	—	3	1	no	—
389	C₂×C₄⋊Q₈	—	3	1	no	—
390	C₂×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
391	C₂×#126	—	3	1	no	—
392	C₂×#126	—	3	1	no	—
393	C₂×C₂²⋊Q₈	—	3	1	no	—
394	C₂×C₄×Q₈	—	3	1	no	—
395	C₂×C₄×Q₈	—	3	1	no	—
396	C₂×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
397	C₂×#117	—	3	1	no	—
398	#401	—	3	1	no	—
399	#401	—	3	1	no	—
400	#401	—	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	#400	—	3	1	no	—
407	#400	—	3	1	no	—
408	#400	—	3	1	no	—
409	#400	—	3	1	no	—
410	#400	—	3	1	no	—
411	#400	—	3	1	no	—
412	#400	C₂×D₃	1	1	yes	characteristic
413	#400	C₂×D₃	1	1	yes	characteristic
414	#400	C₂×D₃	1	1	yes	characteristic
415	#400	C₂×D₃	1	1	yes	characteristic
416	#398	—	3	1	no	—
417	#398	—	3	1	no	—
418	#397	—	3	1	no	—
419	#397	—	3	1	no	—
420	#397	—	3	1	no	—
421	#397	—	3	1	no	—
422	#397	—	3	1	no	—
423	#396	—	3	1	no	—
424	#396	—	3	1	no	—
425	#396	—	3	1	no	—
426	#395	—	3	1	no	—
427	#395	—	3	1	no	—
428	#395	—	3	1	no	—
429	#395	—	3	1	no	—
430	#395	—	3	1	no	—
431	#395	—	3	1	no	—
432	#393	—	3	1	no	—
433	#393	—	3	1	no	—
434	#393	—	3	1	no	—
435	#393	—	3	1	no	—
436	#393	—	3	1	no	—
437	#393	—	3	1	no	—
438	#391	—	3	1	no	—
439	#391	—	3	1	no	—
440	#391	—	3	1	no	—
441	#391	—	3	1	no	—
442	#391	—	3	1	no	—
443	#391	—	3	1	no	—
444	#391	—	3	1	no	—
445	#391	—	3	1	no	—
446	#391	—	3	1	no	—
447	#391	—	3	1	no	—
448	#391	—	3	1	no	—
449	#391	—	3	1	no	—
450	#391	—	3	1	no	—
451	#391	—	3	1	no	—
452	#391	—	3	1	no	—
453	#391	—	3	1	no	—
454	#391	—	3	1	no	—
455	#391	C₂×D₃	1	1	yes	characteristic
456	#391	C₂×D₃	1	1	yes	characteristic
457	#391	C₂×D₃	1	1	yes	characteristic
458	#391	C₂×D₃	1	1	yes	characteristic
459	#391	C₂×D₃	1	1	yes	characteristic
460	#391	C₂×D₃	1	1	yes	characteristic
461	#389	—	3	1	no	—
462	#389	—	3	1	no	—
463	#389	—	3	1	no	—
464	#389	—	3	1	no	—
465	#389	—	3	1	no	—
466	#389	—	3	1	no	—
467	#389	—	3	1	no	—
468	#389	—	3	1	no	—
469	#389	—	3	1	no	—
470	#389	—	3	1	no	—
471	#389	—	3	1	no	—
472	#388	—	3	1	no	—
473	#388	—	3	1	no	—
474	#388	—	3	1	no	—
475	#388	—	3	1	no	—
476	#388	—	3	1	no	—
477	#388	—	3	1	no	—
478	#388	—	3	1	no	—
479	#388	—	3	1	no	—
480	#388	—	3	1	no	—
481	#388	—	3	1	no	—
482	#388	—	3	1	no	—
483	#388	—	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	—	3	1	no	—
501	#387	—	3	1	no	—
502	#387	—	3	1	no	—
503	#387	—	3	1	no	—
504	#387	—	3	1	no	—
505	#387	—	3	1	no	—
506	#387	—	3	1	no	—
507	#387	—	3	1	no	—
508	#387	—	3	1	no	—
509	#387	—	3	1	no	—
510	#384	—	3	1	no	—
511	#383	—	3	1	no	—
512	#383	—	3	1	no	—
513	#383	—	3	1	no	—
514	#383	—	3	1	no	—
515	#382	—	3	1	no	—
516	#382	—	3	1	no	—
517	#382	—	3	1	no	—
518	#382	C₂×D₃	1	1	yes	characteristic
519	#382	C₂×D₃	1	1	yes	characteristic
520	#380	—	3	1	no	—
521	#380	—	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×C₄⋊C₄	—	3	1	no	—
534	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
535	C₄×C₂²⋊C₄	—	3	1	no	—
536	C₄×C₂²⋊C₄	—	3	1	no	—
537	C₄×C₂²⋊C₄	—	3	1	no	—
538	#376	—	3	1	no	—
539	#376	—	3	1	no	—
540	#376	—	3	1	no	—
541	C₂³×D₃	C₂⁴	1	1	yes	characteristic
542	C₂×C₃×Q₈	—	2	2	no	—
543	C₂×C₃×Q₈	—	2	2	no	—
544	C₂×C₃×Q₈	—	2	2	no	—
545	C₂×C₃×Q₈	—	2	2	no	—
546	C₂×C₃×Q₈	—	4	1	no	—
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	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×C₃×C₄	C₂⁴	1	1	yes	characteristic
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×Dic₃	C₂⁴	1	1	yes	characteristic
567	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
568	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
569	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
570	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
571	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
572	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
573	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
574	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
575	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₃	—	2	2	no	—
582	C₂×C₄×D₃	—	2	2	no	—
583	C₂×C₄×D₃	—	2	2	no	—
584	C₂×Dic₆	—	2	2	no	—
585	C₂×Dic₆	—	2	2	no	—
586	C₂×Dic₆	—	2	2	no	—
587	C₂×Dic₆	—	2	2	no	—
588	C₂×Dic₆	—	2	2	no	—
589	C₂×Dic₆	—	2	2	no	—
590	C₂×Dic₆	—	2	2	no	—
591	C₂×Dic₆	—	4	1	no	—
592	C₂×Dic₆	—	4	1	no	—
593	C₂×Dic₆	—	4	1	no	—
594	C₂×Dic₆	—	4	1	no	—
595	C₂×Dic₆	—	4	1	no	—
596	C₃×C₄⋊C₄	—	2	2	no	—
597	C₃×C₄⋊C₄	—	2	2	no	—
598	C₃×C₄⋊C₄	—	2	2	no	—
599	C₃×C₄⋊C₄	—	2	2	no	—
600	C₃×C₄⋊C₄	—	2	2	no	—
601	C₃×C₄⋊C₄	—	4	1	no	—
602	C₃×C₄⋊C₄	—	4	1	no	—
603	C₃×C₄⋊C₄	—	4	1	no	—
604	C₃×C₄⋊C₄	—	4	1	no	—
605	C₃×C₄²	—	2	2	no	—
606	C₃×C₄²	—	2	2	no	—
607	C₃×C₄²	—	2	2	no	—
608	C₃×C₄²	—	4	1	no	—
609	C₃×C₄²	—	4	1	no	—
610	(C₂×D₃)⋊C₄	—	2	2	no	—
611	(C₂×D₃)⋊C₄	—	2	2	no	—
612	(C₂×D₃)⋊C₄	—	2	2	no	—
613	(C₂×D₃)⋊C₄	—	2	2	no	—
614	(C₂×D₃)⋊C₄	—	2	2	no	—
615	(C₂×D₃)⋊C₄	—	2	2	no	—
616	(C₂×D₃)⋊C₄	—	2	2	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	C₄⋊Dic₃	—	2	2	no	—
625	C₄⋊Dic₃	—	2	2	no	—
626	C₄⋊Dic₃	—	2	2	no	—
627	C₄⋊Dic₃	—	2	2	no	—
628	C₄⋊Dic₃	—	4	1	no	—
629	C₄⋊Dic₃	—	4	1	no	—
630	Dic₃⋊C₄	—	2	2	no	—
631	Dic₃⋊C₄	—	2	2	no	—
632	Dic₃⋊C₄	—	2	2	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	—	2	2	no	—
644	Dic₃⋊C₄	—	2	2	no	—
645	Dic₃⋊C₄	—	2	2	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	#41	1	4	yes	—
655	Dic₃⋊C₄	#41	1	4	yes	—
656	C₄×Dic₃	—	2	2	no	—
657	C₄×Dic₃	—	2	2	no	—
658	C₄×Dic₃	—	2	2	no	—
659	C₄×Dic₃	—	2	2	no	—
660	C₄×Dic₃	—	2	2	no	—
661	C₄×Dic₃	—	2	2	no	—
662	C₄×Dic₃	—	2	2	no	—
663	C₄×Dic₃	—	2	2	no	—
664	C₄×Dic₃	—	2	2	no	—
665	C₄×Dic₃	—	2	2	no	—
666	C₄×Dic₃	—	2	2	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	C₂²×Q₈	—	3	1	no	—
674	C₂²×Q₈	—	3	1	no	—
675	C₂²×Q₈	—	3	1	no	—
676	C₂²×Q₈	—	3	1	no	—
677	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
678	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
679	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
680	C₂³×C₄	—	3	1	no	—
681	C₄⋊Q₈	—	4	2	no	—
682	C₄⋊Q₈	—	6	4	no	—
683	C₄⋊Q₈	—	6	4	no	—
684	C₄⋊Q₈	—	6	4	no	—
685	C₄⋊Q₈	—	12	2	no	—
686	#126	—	12	2	no	—
687	#126	—	12	2	no	—
688	C₂²⋊Q₈	—	6	4	no	—
689	C₄×Q₈	—	4	2	no	—
690	C₄×Q₈	—	6	4	no	—
691	C₄×Q₈	—	12	2	no	—
692	#117	—	6	4	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	—	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	C₂²×D₃	1	1	yes	characteristic
726	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
727	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
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×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×C₂²⋊C₄	—	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	—	3	1	no	—
758	C₂×C₄²	—	3	1	no	—
759	C₂×C₄²	—	3	1	no	—
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	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	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
769	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
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	—	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	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	#95	C₂²×D₃	1	1	yes	characteristic
831	#95	C₂²×D₃	1	1	yes	characteristic
832	#95	C₂²×D₃	1	1	yes	characteristic
833	#95	C₂²×D₃	1	1	yes	characteristic
834	#95	C₂²×D₃	1	1	yes	characteristic
835	#95	C₂²×D₃	1	1	yes	characteristic
836	#95	C₂²×D₃	1	1	yes	characteristic
837	#95	C₂²×D₃	1	1	yes	characteristic
838	#95	C₂²×D₃	1	1	yes	characteristic
839	#95	C₂²×D₃	1	1	yes	characteristic
840	C₂³×C₃	C₂⁵	1	1	yes	characteristic
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	C₂²×D₃	—	2	1	no	—
846	C₂²×D₃	—	2	1	no	—
847	C₂²×D₃	—	2	1	no	—
848	C₃×Q₈	—	4	4	no	—
849	C₃×Q₈	—	8	2	no	—
850	C₃×Q₈	—	8	2	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	—	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	—	2	1	no	—
891	C₂×C₃×C₄	—	2	1	no	—
892	C₂×C₃×C₄	C₂×#41	1	2	yes	—
893	C₂×C₃×C₄	C₂×#41	1	2	yes	—
894	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
895	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
932	C₂×Dic₃	—	2	1	no	—
933	C₂×Dic₃	—	2	1	no	—
934	C₂×Dic₃	—	2	1	no	—
935	C₂×Dic₃	C₂×#41	1	2	yes	—
936	C₂×Dic₃	C₂×#41	1	2	yes	—
937	C₂×Dic₃	C₂×#41	1	2	yes	—
938	C₂×Dic₃	C₂×#41	1	2	yes	—
939	C₂×Dic₃	2₋¹⁺⁴	1	2	yes	—
940	C₂×Dic₃	2₋¹⁺⁴	1	2	yes	—
941	C₄×D₃	—	4	4	no	—
942	Dic₆	—	4	4	no	—
943	Dic₆	—	4	4	no	—
944	Dic₆	—	8	2	no	—
945	Dic₆	—	8	2	no	—
946	C₂⁴	—	3	1	no	—
947	C₂×Q₈	—	2	2	no	—
948	C₂×Q₈	—	2	2	no	—
949	C₂×Q₈	—	2	2	no	—
950	C₂×Q₈	—	2	2	no	—
951	C₂×Q₈	—	4	1	no	—
952	C₂×Q₈	—	4	1	no	—
953	C₂×Q₈	—	4	1	no	—
954	C₂×Q₈	—	4	1	no	—
955	C₂×Q₈	—	4	1	no	—
956	C₂×Q₈	—	6	2	no	—
957	C₂×Q₈	—	6	2	no	—
958	C₂×Q₈	—	6	2	no	—
959	C₂×Q₈	—	6	2	no	—
960	C₂×Q₈	—	6	2	no	—
961	C₂×Q₈	—	6	2	no	—
962	C₂×Q₈	—	6	2	no	—
963	C₂×Q₈	—	12	1	no	—
964	C₂×Q₈	—	12	1	no	—
965	C₂×Q₈	—	12	1	no	—
966	C₂×Q₈	—	12	1	no	—
967	C₂×Q₈	—	12	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	—	3	1	no	—
979	C₂²×C₄	—	3	1	no	—
980	C₂²×C₄	—	3	1	no	—
981	C₂²×C₄	—	3	1	no	—
982	C₂²×C₄	—	3	1	no	—
983	C₂²×C₄	—	6	2	no	—
984	C₂²×C₄	—	6	2	no	—
985	C₂²×C₄	—	6	2	no	—
986	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
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	—	2	2	no	—
1002	C₄⋊C₄	—	2	2	no	—
1003	C₄⋊C₄	—	2	2	no	—
1004	C₄⋊C₄	—	2	2	no	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	3	4	no	—
1007	C₄⋊C₄	—	3	4	no	—
1008	C₄⋊C₄	—	4	1	no	—
1009	C₄⋊C₄	—	4	1	no	—
1010	C₄⋊C₄	—	4	1	no	—
1011	C₄⋊C₄	—	4	1	no	—
1012	C₄⋊C₄	—	6	2	no	—
1013	C₄⋊C₄	—	6	2	no	—
1014	C₄⋊C₄	—	6	2	no	—
1015	C₄⋊C₄	—	6	2	no	—
1016	C₄⋊C₄	—	6	2	no	—
1017	C₄⋊C₄	—	6	2	no	—
1018	C₄⋊C₄	—	6	2	no	—
1019	C₄⋊C₄	—	6	2	no	—
1020	C₄⋊C₄	—	6	2	no	—
1021	C₄⋊C₄	—	6	2	no	—
1022	C₄⋊C₄	—	6	2	no	—
1023	C₄⋊C₄	—	6	2	no	—
1024	C₄⋊C₄	—	6	2	no	—
1025	C₄⋊C₄	—	6	2	no	—
1026	C₄⋊C₄	—	6	2	no	—
1027	C₄⋊C₄	—	6	2	no	—
1028	C₄⋊C₄	—	6	2	no	—
1029	C₄⋊C₄	—	6	2	no	—
1030	C₄⋊C₄	—	6	2	no	—
1031	C₄⋊C₄	—	6	2	no	—
1032	C₄⋊C₄	—	12	1	no	—
1033	C₄⋊C₄	—	12	1	no	—
1034	C₄⋊C₄	—	12	1	no	—
1035	C₄⋊C₄	—	12	1	no	—
1036	C₄⋊C₄	—	12	1	no	—
1037	C₄⋊C₄	—	12	1	no	—
1038	C₄⋊C₄	—	12	1	no	—
1039	C₄⋊C₄	—	12	1	no	—
1040	C₄⋊C₄	—	12	1	no	—
1041	C₄⋊C₄	—	12	1	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	—	6	2	no	—
1047	C₂²⋊C₄	—	6	2	no	—
1048	C₂²⋊C₄	—	6	2	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	C₄²	—	2	2	no	—
1057	C₄²	—	2	2	no	—
1058	C₄²	—	2	2	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	—	6	2	no	—
1065	C₄²	—	6	2	no	—
1066	C₄²	—	6	2	no	—
1067	C₄²	—	6	2	no	—
1068	C₄²	—	6	2	no	—
1069	C₄²	—	6	2	no	—
1070	C₄²	—	6	2	no	—
1071	C₄²	—	6	2	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	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1079	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1080	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1081	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1082	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1083	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1084	C₂²×C₃	#585	1	1	yes	characteristic
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	—	4	1	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	—	2	2	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	Dic₃	#556	1	4	yes	—
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	C₂⁴×D₃	1	1	yes	characteristic
1130	Q₈	—	4	4	no	—
1131	Q₈	—	8	2	no	—
1132	Q₈	—	8	2	no	—
1133	Q₈	—	12	4	no	—
1134	Q₈	—	12	4	no	—
1135	Q₈	—	24	2	no	—
1136	Q₈	—	24	2	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	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	—	3	2	no	—
1179	C₂×C₄	—	3	2	no	—
1180	C₂×C₄	—	3	2	no	—
1181	C₂×C₄	—	3	2	no	—
1182	C₂×C₄	—	3	2	no	—
1183	C₂×C₄	—	3	2	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	—	6	1	no	—
1223	C₂×C₄	—	12	4	no	—
1224	C₂×C₄	#1004	1	2	yes	—
1225	C₂×C₄	#1007	1	2	yes	—
1226	C₂×C₄	D₃×#41	1	2	yes	—
1227	C₂×C₄	D₃×#41	1	2	yes	—
1228	C₂×C₃	C₂×#556	1	1	yes	characteristic
1229	C₂×C₃	#3514	1	1	yes	characteristic
1230	C₂×C₃	#3518	1	1	yes	characteristic
1231	C₂×C₃	#3520	1	1	yes	characteristic
1232	C₂×C₃	#3523	1	1	yes	characteristic
1233	C₂×C₃	#3544	1	1	yes	characteristic
1234	C₂×C₃	#3555	1	1	yes	characteristic
1235	D₃	—	8	1	no	—
1236	C₂²	—	12	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	C₂×#1004	1	1	yes	characteristic
1244	C₂²	C₂×#1007	1	1	yes	characteristic
1245	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1246	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1247	C₂²	#5964	1	1	yes	characteristic
1248	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1249	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1250	C₄	—	2	2	no	—
1251	C₄	—	2	2	no	—
1252	C₄	—	2	2	no	—
1253	C₄	—	2	2	no	—
1254	C₄	—	3	4	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	1	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	4	1	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	6	2	no	—
1267	C₄	—	6	2	no	—
1268	C₄	—	6	2	no	—
1269	C₄	—	12	1	no	—
1270	C₄	—	12	1	no	—
1271	C₄	—	12	1	no	—
1272	C₄	—	12	1	no	—
1273	C₄	—	12	1	no	—
1274	C₄	—	12	1	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	C₃	#45001	1	1	yes	characteristic, complemented, Sylow
1281	C₂	—	24	1	no	—
1282	C₂	#85987	1	1	yes	characteristic
1283	C₂	#86077	1	1	yes	characteristic
1284	C₂	#86346	1	1	yes	characteristic
1285	C₂	#86988	1	1	yes	characteristic
1286	C₂	D₃×#556	1	1	yes	characteristic
1287	C₂	#87025	1	1	yes	characteristic
1288	C₂	#87037	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₃×#2568	C₂
prime radical	C₂³×D₃	C₂⁴
hypercenter	#2568	D₃
hypocenter	C₃	#45001
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2568

Complements

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

N	H ≅ G/N	type
1. C₃×#2568	C₂	semidirect
3. #83242	C₂	semidirect
5. #82465	C₂	semidirect
7. #78181	C₂	semidirect
8. #78175	C₂	semidirect
9. #78159	C₂	semidirect
10. #78157	C₂	semidirect
14. #76591	C₂	semidirect
18. #76557	C₂	semidirect
19. #76556	C₂	semidirect
22. #76510	C₂	semidirect
24. #76494	C₂	semidirect
25. #76486	C₂	semidirect
26. #74216	C₂	semidirect
29. #74151	C₂	semidirect
30. #73709	C₂	semidirect
199. #2568	D₃	semidirect
1280. C₃	#45001	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2568	2
#83248	2
#83242	2
#82473	2
#82465	2
#78244	2
#78181	2
#78175	2
#78159	2
#78157	2
#78150	2
#78139	2
#78132	2
#76591	2
#76589	2
#76583	2
#76581	2
#76557	2
#76556	2
#76517	2
#76510	2
#76501	2
#76494	2
#76486	2
#74216	2
#74213	2
#74156	2
#74151	2
#73709	2
#73648	2
#45001	3