Subgroups — #11660432

Order 768.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1176 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3475	C₂	1	1	yes	maximal, characteristic
2	#83330	C₂	1	1	yes	maximal, characteristic, complemented
3	#83329	C₂	1	1	yes	maximal, characteristic, complemented
4	#83133	C₂	1	2	yes	maximal, complemented
5	#83133	C₂	1	2	yes	maximal, complemented
6	#83132	C₂	1	2	yes	maximal, complemented
7	#83131	C₂	1	2	yes	maximal, complemented
8	#83130	C₂	1	2	yes	maximal, complemented
9	#83130	C₂	1	2	yes	maximal, complemented
10	#82918	C₂	1	1	yes	maximal, characteristic, complemented
11	#82918	C₂	1	1	yes	maximal, characteristic, complemented
12	#82917	C₂	1	1	yes	maximal, characteristic, complemented
13	#82916	C₂	1	1	yes	maximal, characteristic, complemented
14	#82522	C₂	1	2	yes	maximal, complemented
15	#82521	C₂	1	2	yes	maximal, complemented
16	#82514	C₂	1	1	yes	maximal, characteristic, complemented
17	#82512	C₂	1	1	yes	maximal, characteristic, complemented
18	D₄×#208	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#5011	C₂	1	1	yes	maximal, characteristic, complemented
20	#82210	C₂	1	1	yes	maximal, characteristic, complemented
21	#82210	C₂	1	1	yes	maximal, characteristic, complemented
22	#82204	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#4999	C₂	1	1	yes	maximal, characteristic, complemented
24	#60272	—	3	1	no	maximal, Sylow
25	C₃×#556	C₄	1	1	yes	characteristic
26	C₃×#555	C₄	1	1	yes	characteristic
27	C₃×#554	C₄	1	1	yes	characteristic
28	C₃×#553	C₄	1	1	yes	characteristic
29	C₃×#553	C₄	1	1	yes	characteristic
30	C₃×#552	C₄	1	1	yes	characteristic
31	C₃×#552	C₄	1	1	yes	characteristic
32	C₃×#552	C₄	1	2	yes	—
33	C₃×#551	C₄	1	2	yes	—
34	C₃×#551	C₄	1	2	yes	—
35	C₃×#547	C₄	1	1	yes	characteristic
36	C₃×#546	C₄	1	2	yes	—
37	C₃×#533	C₂²	1	1	yes	characteristic
38	C₃×#529	C₂²	1	2	yes	—
39	C₃×#529	C₂²	1	2	yes	—
40	C₃×#529	C₂²	1	2	yes	—
41	C₃×#525	C₂²	1	1	yes	characteristic
42	C₃×#525	C₂²	1	1	yes	characteristic
43	C₃×C₄×#41	C₂²	1	2	yes	—
44	C₃×C₄×#41	C₂²	1	1	yes	characteristic
45	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₃×#117	C₂²	1	1	yes	characteristic
47	C₂×C₃×#117	C₂²	1	1	yes	characteristic
48	C₂×#948	C₂²	1	1	yes	characteristic
49	C₂×#948	C₂²	1	1	yes	characteristic
50	C₂²×#208	C₂²	1	1	yes	characteristic
51	C₂²×#208	C₂²	1	1	yes	characteristic
52	C₂²×#208	C₂²	1	1	yes	characteristic
53	C₂³×C₃⋊C₈	C₂²	1	1	yes	characteristic
54	#5234	C₂²	1	1	yes	characteristic
55	#5234	C₂²	1	1	yes	characteristic
56	#5207	C₂²	1	1	yes	characteristic
57	#5207	C₂²	1	1	yes	characteristic
58	C₂×#830	C₂²	1	1	yes	characteristic
59	C₂×#830	C₂²	1	1	yes	characteristic
60	#5024	C₂²	1	2	yes	complemented
61	#5024	C₂²	1	2	yes	complemented
62	#5024	C₂²	1	2	yes	complemented
63	#5024	C₂²	1	2	yes	complemented
64	#5024	C₂²	1	2	yes	complemented
65	#5024	C₂²	1	2	yes	complemented
66	#5024	C₂²	1	2	yes	complemented
67	Q₈×C₃⋊C₈	C₂²	1	2	yes	complemented
68	#5012	C₂²	1	2	yes	—
69	#5012	C₂²	1	2	yes	complemented
70	#5012	C₂²	1	2	yes	complemented
71	#5012	C₂²	1	2	yes	complemented
72	#5012	C₂²	1	2	yes	complemented
73	#5011	C₂²	1	1	yes	characteristic
74	#5011	C₂²	1	2	yes	—
75	#5011	C₂²	1	1	yes	characteristic
76	#5011	C₂²	1	1	yes	characteristic
77	#5011	C₂²	1	1	yes	characteristic
78	#5011	C₂²	1	1	yes	characteristic
79	#5011	C₂²	1	1	yes	characteristic
80	#5011	C₂²	1	1	yes	characteristic
81	#5011	C₂²	1	1	yes	characteristic
82	#5011	C₂²	1	2	yes	—
83	#5011	C₂²	1	2	yes	complemented
84	#5011	C₂²	1	2	yes	complemented
85	#5011	C₂²	1	2	yes	complemented
86	#5011	C₂²	1	2	yes	complemented
87	#5011	C₂²	1	2	yes	complemented
88	#5011	C₂²	1	2	yes	complemented
89	#5011	C₂²	1	2	yes	complemented
90	#5011	C₂²	1	2	yes	complemented
91	D₄×C₃⋊C₈	C₂²	1	2	yes	—
92	D₄×C₃⋊C₈	C₂²	1	2	yes	complemented
93	D₄×C₃⋊C₈	C₂²	1	2	yes	complemented
94	D₄×C₃⋊C₈	C₂²	1	2	yes	complemented
95	D₄×C₃⋊C₈	C₂²	1	2	yes	complemented
96	#5000	C₂²	1	2	yes	complemented
97	#5000	C₂²	1	2	yes	complemented
98	#5000	C₂²	1	2	yes	complemented
99	#5000	C₂²	1	2	yes	complemented
100	#5000	C₂²	1	2	yes	complemented
101	#5000	C₂²	1	2	yes	complemented
102	#4999	C₂²	1	1	yes	characteristic
103	#4999	C₂²	1	1	yes	characteristic
104	#4999	C₂²	1	1	yes	characteristic
105	#4999	C₂²	1	1	yes	characteristic
106	#4999	C₂²	1	1	yes	characteristic
107	#4999	C₂²	1	1	yes	characteristic
108	#4999	C₂²	1	1	yes	characteristic
109	#4999	C₂²	1	1	yes	characteristic
110	#4999	C₂²	1	2	yes	complemented
111	#4999	C₂²	1	2	yes	complemented
112	#4999	C₂²	1	2	yes	complemented
113	#4999	C₂²	1	2	yes	complemented
114	#4999	C₂²	1	2	yes	complemented
115	#4999	C₂²	1	2	yes	complemented
116	#4997	C₂²	1	1	yes	characteristic
117	#4997	C₂²	1	1	yes	characteristic
118	#4997	C₂²	1	1	yes	characteristic
119	#4997	C₂²	1	1	yes	characteristic
120	#4926	C₂²	1	2	yes	complemented
121	#4926	C₂²	1	2	yes	complemented
122	#4926	C₂²	1	2	yes	complemented
123	#4926	C₂²	1	2	yes	complemented
124	#4925	C₂²	1	2	yes	complemented
125	#4925	C₂²	1	2	yes	complemented
126	#4924	C₂²	1	1	yes	characteristic
127	#4924	C₂²	1	2	yes	complemented
128	#4924	C₂²	1	2	yes	complemented
129	#4924	C₂²	1	2	yes	complemented
130	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic
131	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	2	yes	complemented
132	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	2	yes	complemented
133	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	2	yes	complemented
134	C₄×#208	C₂²	1	1	yes	characteristic
135	C₂×#803	C₂²	1	1	yes	characteristic
136	#3475	D₃	1	1	yes	characteristic
137	#2995	—	3	2	no	—
138	#2995	—	3	2	no	—
139	#2994	—	3	2	no	—
140	#2993	—	3	2	no	—
141	#2992	—	3	2	no	—
142	#2992	—	3	2	no	—
143	#2990	—	3	2	no	—
144	#2989	—	3	2	no	—
145	#2962	—	3	1	no	—
146	#2961	—	3	1	no	—
147	D₄×M₁₆	—	3	1	no	—
148	#2933	—	3	1	no	—
149	#2933	—	3	1	no	—
150	#2930	—	3	1	no	—
151	#2929	—	3	1	no	—
152	C₂×#435	—	3	1	no	—
153	#2924	—	3	1	no	—
154	#2924	—	3	1	no	—
155	#2923	—	3	1	no	—
156	#2906	—	3	1	no	—
157	#2905	—	3	1	no	—
158	C₂×#424	—	3	1	no	—
159	C₂×C₃×#41	C₂×C₄	1	2	yes	—
160	C₂×C₃×#41	C₂³	1	1	yes	characteristic
161	C₂²×C₃×D₄	C₂×C₄	1	1	yes	characteristic
162	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
163	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
164	C₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
165	C₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
166	C₃×#126	C₂×C₄	1	2	yes	—
167	C₃×#126	C₂×C₄	1	2	yes	—
168	C₃×#126	C₂×C₄	1	2	yes	—
169	C₃×#126	C₂×C₄	1	2	yes	—
170	C₃×#126	C₂×C₄	1	2	yes	—
171	C₃×#126	C₂×C₄	1	2	yes	—
172	C₃×#125	C₂×C₄	1	2	yes	—
173	C₃×#125	C₂×C₄	1	2	yes	—
174	C₃×#125	C₂×C₄	1	2	yes	—
175	C₃×#125	C₂×C₄	1	1	yes	characteristic
176	C₃×#125	C₂×C₄	1	1	yes	characteristic
177	C₃×#124	C₂×C₄	1	2	yes	—
178	C₃×#124	C₂×C₄	1	2	yes	—
179	C₃×#124	C₂×C₄	1	2	yes	—
180	C₃×#123	C₂×C₄	1	2	yes	—
181	C₃×#123	C₂×C₄	1	2	yes	—
182	C₃×#123	C₂×C₄	1	2	yes	—
183	C₃×#123	C₂×C₄	1	2	yes	—
184	C₃×#123	C₂×C₄	1	2	yes	—
185	C₃×#123	C₂×C₄	1	2	yes	—
186	C₃×#123	C₂×C₄	1	2	yes	—
187	C₃×#123	C₂×C₄	1	2	yes	—
188	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
189	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
190	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
191	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
192	C₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
193	C₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
194	C₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
195	C₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
196	C₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
197	C₃×#121	C₂×C₄	1	1	yes	characteristic
198	C₃×#121	C₂×C₄	1	1	yes	characteristic
199	C₃×#121	C₂×C₄	1	1	yes	characteristic
200	C₃×#121	C₂×C₄	1	1	yes	characteristic
201	C₃×#121	C₂×C₄	1	2	yes	—
202	C₃×#121	C₂×C₄	1	2	yes	—
203	C₃×#121	C₂×C₄	1	2	yes	—
204	C₃×#120	C₂×C₄	1	2	yes	—
205	C₃×#120	C₂×C₄	1	2	yes	—
206	C₃×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
207	C₃×C₄×Q₈	C₂×C₄	1	2	yes	—
208	C₃×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
209	C₃×C₄×Q₈	C₂³	1	2	yes	—
210	C₃×C₄×Q₈	C₂³	1	2	yes	—
211	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
212	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
213	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
214	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
215	C₃×C₄×D₄	C₂×C₄	1	2	yes	—
216	C₃×C₄×D₄	C₂×C₄	1	2	yes	—
217	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
218	C₃×C₄×D₄	C₂×C₄	1	2	yes	—
219	C₃×C₄×D₄	C₂×C₄	1	2	yes	—
220	C₃×C₄×D₄	C₂×C₄	1	2	yes	—
221	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
222	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
223	C₃×C₄×D₄	C₂³	1	2	yes	—
224	C₃×C₄×D₄	C₂³	1	2	yes	—
225	C₃×C₄×D₄	C₂³	1	2	yes	—
226	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
227	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
228	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
229	C₃×C₄×D₄	C₂³	1	2	yes	—
230	C₃×#117	C₂×C₄	1	2	yes	—
231	C₃×#117	C₂×C₄	1	2	yes	—
232	C₃×#117	C₂×C₄	1	1	yes	characteristic
233	C₃×#117	C₂×C₄	1	1	yes	characteristic
234	C₃×#117	C₂×C₄	1	1	yes	characteristic
235	C₃×#117	C₂×C₄	1	1	yes	characteristic
236	C₃×#117	C₂×C₄	1	2	yes	—
237	C₃×#117	C₂×C₄	1	2	yes	—
238	C₃×#117	C₂×C₄	1	2	yes	—
239	C₃×#117	C₂³	1	1	yes	characteristic
240	C₃×#117	C₂³	1	1	yes	characteristic
241	C₃×#117	C₂³	1	1	yes	characteristic
242	C₃×#117	C₂³	1	2	yes	—
243	C₃×#117	C₂³	1	2	yes	—
244	C₃×#117	C₂³	1	2	yes	—
245	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
246	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
247	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
248	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
249	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
250	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	2	yes	—
251	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	2	yes	—
252	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
253	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
254	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₄²	C₂³	1	2	yes	—
256	C₂×C₃×C₄²	C₂³	1	2	yes	—
257	C₂×C₃×C₄²	C₂³	1	2	yes	—
258	#948	—	4	2	no	—
259	#948	—	4	2	no	—
260	C₂×#208	—	4	2	no	—
261	C₂×#208	—	4	2	no	—
262	C₂×#208	—	4	2	no	—
263	C₂×#208	C₂³	1	1	yes	characteristic
264	C₂×#208	C₂³	1	1	yes	characteristic
265	C₂×#208	C₂³	1	1	yes	characteristic
266	C₂×#208	C₂³	1	1	yes	characteristic
267	C₂×#208	C₂³	1	1	yes	characteristic
268	C₂×#208	C₂³	1	1	yes	characteristic
269	C₂×#208	C₂³	1	2	yes	—
270	C₂×#208	C₂³	1	2	yes	—
271	C₂×#208	C₂³	1	2	yes	—
272	C₂×#208	C₂³	1	1	yes	characteristic
273	C₂×#208	C₂³	1	1	yes	characteristic
274	C₂×#208	C₂³	1	2	yes	—
275	C₂²×C₃⋊C₈	—	4	2	no	—
276	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
277	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
278	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
279	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
280	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
281	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
282	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
283	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
284	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
285	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
286	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
287	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
288	#830	C₂³	1	1	yes	characteristic
289	#830	C₂³	1	1	yes	characteristic
290	#830	C₂³	1	2	yes	—
291	#830	C₂³	1	2	yes	—
292	#830	C₂³	1	1	yes	characteristic
293	#830	C₂³	1	1	yes	characteristic
294	#830	C₂³	1	2	yes	—
295	#830	C₂³	1	2	yes	—
296	#830	C₂³	1	2	yes	—
297	#830	C₂³	1	2	yes	—
298	#830	C₂³	1	1	yes	characteristic
299	#830	C₂³	1	1	yes	characteristic
300	#830	C₂³	1	1	yes	characteristic
301	#830	C₂³	1	1	yes	characteristic
302	#830	C₂³	1	2	yes	—
303	#830	C₂³	1	2	yes	—
304	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
305	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
306	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
307	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
308	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
309	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
310	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
311	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
312	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
313	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
314	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
315	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
316	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
317	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
318	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
319	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
320	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
321	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
322	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
323	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
324	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
325	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
326	#803	C₂³	1	1	yes	characteristic
327	#803	C₂³	1	1	yes	characteristic
328	#803	C₂³	1	1	yes	characteristic
329	#803	C₂³	1	1	yes	characteristic
330	#803	C₂³	1	2	yes	—
331	#803	C₂³	1	2	yes	—
332	#803	C₂³	1	2	yes	—
333	#803	C₂³	1	2	yes	—
334	#803	C₂³	1	2	yes	—
335	C₄×C₃⋊C₈	C₂³	1	2	yes	—
336	C₄×C₃⋊C₈	C₂³	1	2	yes	—
337	C₄×C₃⋊C₈	C₂³	1	2	yes	—
338	C₄×C₃⋊C₈	C₂³	1	2	yes	—
339	C₄×C₃⋊C₈	C₂³	1	2	yes	—
340	C₂×#131	—	3	1	no	—
341	C₂×#131	—	3	1	no	—
342	C₂²×M₁₆	—	3	1	no	—
343	C₂²×M₁₆	—	3	1	no	—
344	C₂²×M₁₆	—	3	1	no	—
345	C₂³×C₈	—	3	1	no	—
346	#556	Dic₃	1	1	yes	characteristic
347	#555	Dic₃	1	1	yes	characteristic
348	#554	Dic₃	1	1	yes	characteristic
349	#553	Dic₃	1	1	yes	characteristic
350	#553	Dic₃	1	1	yes	characteristic
351	#552	Dic₃	1	1	yes	characteristic
352	#552	Dic₃	1	1	yes	characteristic
353	#552	Dic₃	1	2	yes	—
354	#551	Dic₃	1	2	yes	—
355	#551	Dic₃	1	2	yes	—
356	#547	Dic₃	1	1	yes	characteristic
357	#546	Dic₃	1	2	yes	—
358	#533	C₂×D₃	1	1	yes	characteristic
359	#529	C₂×D₃	1	2	yes	—
360	#529	C₂×D₃	1	2	yes	—
361	#529	C₂×D₃	1	2	yes	—
362	#525	C₂×D₃	1	1	yes	characteristic
363	#525	C₂×D₃	1	1	yes	characteristic
364	C₄×#41	C₂×D₃	1	2	yes	—
365	C₄×#41	C₂×D₃	1	1	yes	characteristic
366	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic
367	C₂×#117	C₂×D₃	1	1	yes	characteristic
368	C₂×#117	C₂×D₃	1	1	yes	characteristic
369	#446	—	3	2	no	—
370	#446	—	3	2	no	—
371	#446	—	3	2	no	—
372	#446	—	3	2	no	—
373	#446	—	3	2	no	—
374	#446	—	3	2	no	—
375	#446	—	3	2	no	—
376	C₈×Q₈	—	3	2	no	—
377	#436	—	3	2	no	—
378	#436	—	3	2	no	—
379	#436	—	3	2	no	—
380	#436	—	3	2	no	—
381	#436	—	3	2	no	—
382	#435	—	3	1	no	—
383	#435	—	3	1	no	—
384	#435	—	3	1	no	—
385	#435	—	3	1	no	—
386	#435	—	3	1	no	—
387	#435	—	3	1	no	—
388	#435	—	3	1	no	—
389	#435	—	3	1	no	—
390	#435	—	3	2	no	—
391	#435	—	3	2	no	—
392	#435	—	3	2	no	—
393	#435	—	3	2	no	—
394	#435	—	3	2	no	—
395	#435	—	3	2	no	—
396	#435	—	3	2	no	—
397	#435	—	3	2	no	—
398	#435	—	3	2	no	—
399	#435	—	3	2	no	—
400	C₈×D₄	—	3	2	no	—
401	C₈×D₄	—	3	2	no	—
402	C₈×D₄	—	3	2	no	—
403	C₈×D₄	—	3	2	no	—
404	C₈×D₄	—	3	2	no	—
405	#433	—	3	2	no	—
406	#433	—	3	2	no	—
407	#433	—	3	2	no	—
408	#433	—	3	2	no	—
409	#433	—	3	2	no	—
410	#433	—	3	2	no	—
411	#432	—	3	2	no	—
412	#432	—	3	2	no	—
413	#432	—	3	2	no	—
414	#432	—	3	2	no	—
415	#431	—	3	2	no	—
416	#431	—	3	2	no	—
417	#424	—	3	1	no	—
418	#424	—	3	1	no	—
419	#424	—	3	1	no	—
420	#424	—	3	1	no	—
421	#424	—	3	2	no	—
422	#424	—	3	2	no	—
423	#424	—	3	1	no	—
424	#424	—	3	1	no	—
425	#424	—	3	1	no	—
426	#424	—	3	2	no	—
427	#424	—	3	2	no	—
428	#424	—	3	2	no	—
429	#424	—	3	2	no	—
430	#424	—	3	1	no	—
431	#423	—	3	1	no	—
432	#423	—	3	2	no	—
433	#423	—	3	2	no	—
434	#423	—	3	2	no	—
435	C₂×C₄⋊C₈	—	3	1	no	—
436	C₂×C₄⋊C₈	—	3	2	no	—
437	C₂×C₄⋊C₈	—	3	2	no	—
438	C₂×C₄⋊C₈	—	3	2	no	—
439	#408	—	3	1	no	—
440	#408	—	3	1	no	—
441	#407	—	3	1	no	—
442	#407	—	3	1	no	—
443	C₂×C₂²⋊C₈	—	3	1	no	—
444	C₂×C₂²⋊C₈	—	3	1	no	—
445	#405	—	3	1	no	—
446	#405	—	3	1	no	—
447	#405	—	3	1	no	—
448	#405	—	3	1	no	—
449	C₄×M₁₆	—	3	1	no	—
450	C₂×#97	—	3	1	no	—
451	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
452	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
453	C₃×#41	—	2	2	no	—
454	C₃×#41	—	2	2	no	—
455	C₃×#41	—	4	4	no	—
456	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
457	C₂×C₃×Q₈	C₂²×C₄	1	2	yes	—
458	C₂×C₃×Q₈	C₂²×C₄	1	2	yes	—
459	C₂×C₃×D₄	—	4	2	no	—
460	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
461	C₂×C₃×D₄	C₂²×C₄	1	2	yes	—
462	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
463	C₂×C₃×D₄	C₂²×C₄	1	2	yes	—
464	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
465	C₂×C₃×D₄	C₂²×C₄	1	2	yes	—
466	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
467	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
468	C₂×C₃×D₄	C₂²×C₄	1	2	yes	—
469	C₂×C₃×D₄	C₂²×C₄	1	2	yes	—
470	C₂²×C₃×C₄	—	2	2	no	—
471	C₂²×C₃×C₄	—	2	2	no	—
472	C₂²×C₃×C₄	—	2	2	no	—
473	C₂²×C₃×C₄	—	2	2	no	—
474	C₂²×C₃×C₄	C₂²×C₄	1	2	yes	—
475	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
476	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
477	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
478	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
479	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
480	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
481	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
482	C₂²×C₃×C₄	C₂²×C₄	1	2	yes	—
483	C₂²×C₃×C₄	C₂²×C₄	1	2	yes	—
484	C₂²×C₃×C₄	C₂²×C₄	1	2	yes	—
485	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
486	C₂²×C₃×C₄	C₂²×C₄	1	2	yes	—
487	C₂²×C₃×C₄	C₂²×C₄	1	2	yes	—
488	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
489	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
490	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
491	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
492	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
493	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
494	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
495	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
496	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
497	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
498	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
499	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
500	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
501	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
502	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
503	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
504	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
505	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
506	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
507	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
508	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
509	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
510	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
511	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
512	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
513	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
514	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
515	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
516	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
517	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
518	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
519	C₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
520	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
521	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
522	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
523	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
524	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
525	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
526	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
527	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
528	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
529	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
530	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
531	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
532	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
533	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
534	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
535	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
536	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
537	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
538	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
539	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
540	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
541	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
542	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
543	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
544	C₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
545	C₃×C₄²	C₂²×C₄	1	2	yes	—
546	C₃×C₄²	C₂²×C₄	1	2	yes	—
547	C₃×C₄²	C₂²×C₄	1	2	yes	—
548	C₃×C₄²	C₂²×C₄	1	2	yes	—
549	C₃×C₄²	C₂²×C₄	1	2	yes	—
550	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
551	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
552	C₃×C₄²	C₂²×C₄	1	2	yes	—
553	C₃×C₄²	C₂⁴	1	1	yes	characteristic
554	C₃×C₄²	C₂⁴	1	2	yes	—
555	C₃×C₄²	C₂⁴	1	2	yes	—
556	C₃×C₄²	C₂⁴	1	1	yes	characteristic
557	C₃×C₄²	C₂⁴	1	2	yes	—
558	#208	—	2	2	no	—
559	#208	—	2	2	no	—
560	#208	—	2	2	no	—
561	#208	—	2	2	no	—
562	#208	—	4	1	no	—
563	#208	—	4	1	no	—
564	#208	—	4	1	no	—
565	#208	—	4	1	no	—
566	#208	—	4	2	no	—
567	#208	—	4	2	no	—
568	#208	—	4	2	no	—
569	#208	—	4	2	no	—
570	C₂×C₃⋊C₈	—	2	2	no	—
571	C₂×C₃⋊C₈	—	2	2	no	—
572	C₂×C₃⋊C₈	—	2	2	no	—
573	C₂×C₃⋊C₈	—	2	2	no	—
574	C₂×C₃⋊C₈	—	4	1	no	—
575	C₂×C₃⋊C₈	—	4	1	no	—
576	C₂×C₃⋊C₈	—	4	1	no	—
577	C₂×C₃⋊C₈	—	4	1	no	—
578	C₂×C₃⋊C₈	—	4	2	no	—
579	C₂×C₃⋊C₈	—	4	2	no	—
580	C₂×C₃⋊C₈	—	4	2	no	—
581	C₂×C₃⋊C₈	—	4	2	no	—
582	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
583	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
584	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
585	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
586	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
587	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
588	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
589	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
590	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
591	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
592	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
593	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
594	C₂×#41	C₂×Dic₃	1	2	yes	—
595	C₂×#41	C₂²×D₃	1	1	yes	characteristic
596	C₂²×D₄	C₂×Dic₃	1	1	yes	characteristic
597	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
598	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
599	#131	—	12	2	no	—
600	#131	—	12	2	no	—
601	C₂×M₁₆	—	3	1	no	—
602	C₂×M₁₆	—	3	1	no	—
603	C₂×M₁₆	—	3	1	no	—
604	C₂×M₁₆	—	3	1	no	—
605	C₂×M₁₆	—	3	1	no	—
606	C₂×M₁₆	—	3	1	no	—
607	C₂×M₁₆	—	3	2	no	—
608	C₂×M₁₆	—	3	1	no	—
609	C₂×M₁₆	—	3	1	no	—
610	C₂×M₁₆	—	3	2	no	—
611	C₂×M₁₆	—	3	2	no	—
612	C₂×M₁₆	—	3	2	no	—
613	C₂×M₁₆	—	12	2	no	—
614	C₂×M₁₆	—	12	2	no	—
615	C₂×M₁₆	—	12	2	no	—
616	C₂²×C₈	—	3	1	no	—
617	C₂²×C₈	—	3	1	no	—
618	C₂²×C₈	—	3	1	no	—
619	C₂²×C₈	—	3	1	no	—
620	C₂²×C₈	—	3	1	no	—
621	C₂²×C₈	—	3	1	no	—
622	C₂²×C₈	—	3	1	no	—
623	C₂²×C₈	—	3	1	no	—
624	C₂²×C₈	—	3	2	no	—
625	C₂²×C₈	—	3	2	no	—
626	C₂²×C₈	—	3	2	no	—
627	C₂²×C₈	—	3	2	no	—
628	C₂²×C₈	—	12	2	no	—
629	C₄⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
630	C₄⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
631	#126	C₂×Dic₃	1	2	yes	—
632	#126	C₂×Dic₃	1	2	yes	—
633	#126	C₂×Dic₃	1	2	yes	—
634	#126	C₂×Dic₃	1	2	yes	—
635	#126	C₂×Dic₃	1	2	yes	—
636	#126	C₂×Dic₃	1	2	yes	—
637	#125	C₂×Dic₃	1	2	yes	—
638	#125	C₂×Dic₃	1	2	yes	—
639	#125	C₂×Dic₃	1	2	yes	—
640	#125	C₂×Dic₃	1	1	yes	characteristic
641	#125	C₂×Dic₃	1	1	yes	characteristic
642	#124	C₂×Dic₃	1	2	yes	—
643	#124	C₂×Dic₃	1	2	yes	—
644	#124	C₂×Dic₃	1	2	yes	—
645	#123	C₂×Dic₃	1	2	yes	—
646	#123	C₂×Dic₃	1	2	yes	—
647	#123	C₂×Dic₃	1	2	yes	—
648	#123	C₂×Dic₃	1	2	yes	—
649	#123	C₂×Dic₃	1	2	yes	—
650	#123	C₂×Dic₃	1	2	yes	—
651	#123	C₂×Dic₃	1	2	yes	—
652	#123	C₂×Dic₃	1	2	yes	—
653	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
654	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
655	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
656	C₂²⋊Q₈	C₂×Dic₃	1	1	yes	characteristic
657	C₂²⋊Q₈	C₂×Dic₃	1	2	yes	—
658	C₂²⋊Q₈	C₂×Dic₃	1	2	yes	—
659	C₂²⋊Q₈	C₂×Dic₃	1	2	yes	—
660	C₂²⋊Q₈	C₂×Dic₃	1	2	yes	—
661	C₂²⋊Q₈	C₂×Dic₃	1	2	yes	—
662	#121	C₂×Dic₃	1	1	yes	characteristic
663	#121	C₂×Dic₃	1	1	yes	characteristic
664	#121	C₂×Dic₃	1	1	yes	characteristic
665	#121	C₂×Dic₃	1	1	yes	characteristic
666	#121	C₂×Dic₃	1	2	yes	—
667	#121	C₂×Dic₃	1	2	yes	—
668	#121	C₂×Dic₃	1	2	yes	—
669	#120	C₂×Dic₃	1	2	yes	—
670	#120	C₂×Dic₃	1	2	yes	—
671	C₄×Q₈	C₂×Dic₃	1	1	yes	characteristic
672	C₄×Q₈	C₂×Dic₃	1	2	yes	—
673	C₄×Q₈	C₂×Dic₃	1	1	yes	characteristic
674	C₄×Q₈	C₂²×D₃	1	2	yes	—
675	C₄×Q₈	C₂²×D₃	1	2	yes	—
676	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
677	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
678	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
679	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
680	C₄×D₄	C₂×Dic₃	1	2	yes	—
681	C₄×D₄	C₂×Dic₃	1	2	yes	—
682	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
683	C₄×D₄	C₂×Dic₃	1	2	yes	—
684	C₄×D₄	C₂×Dic₃	1	2	yes	—
685	C₄×D₄	C₂×Dic₃	1	2	yes	—
686	C₄×D₄	C₂×Dic₃	1	1	yes	characteristic
687	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
688	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
689	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
690	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
691	C₄×D₄	C₂²×D₃	1	2	yes	—
692	C₄×D₄	C₂²×D₃	1	2	yes	—
693	C₄×D₄	C₂²×D₃	1	2	yes	—
694	C₄×D₄	C₂²×D₃	1	2	yes	—
695	#117	C₂×Dic₃	1	2	yes	—
696	#117	C₂×Dic₃	1	2	yes	—
697	#117	C₂×Dic₃	1	1	yes	characteristic
698	#117	C₂×Dic₃	1	1	yes	characteristic
699	#117	C₂×Dic₃	1	1	yes	characteristic
700	#117	C₂×Dic₃	1	1	yes	characteristic
701	#117	C₂×Dic₃	1	2	yes	—
702	#117	C₂×Dic₃	1	2	yes	—
703	#117	C₂×Dic₃	1	2	yes	—
704	#117	C₂²×D₃	1	1	yes	characteristic
705	#117	C₂²×D₃	1	1	yes	characteristic
706	#117	C₂²×D₃	1	1	yes	characteristic
707	#117	C₂²×D₃	1	2	yes	—
708	#117	C₂²×D₃	1	2	yes	—
709	#117	C₂²×D₃	1	2	yes	—
710	C₂×C₄⋊C₄	C₂×Dic₃	1	1	yes	characteristic
711	C₂×C₄⋊C₄	C₂×Dic₃	1	1	yes	characteristic
712	C₂×C₄⋊C₄	C₂×Dic₃	1	1	yes	characteristic
713	C₂×C₄⋊C₄	C₂×Dic₃	1	1	yes	characteristic
714	C₂×C₄⋊C₄	C₂×Dic₃	1	1	yes	characteristic
715	C₂×C₂²⋊C₄	C₂×Dic₃	1	2	yes	—
716	C₂×C₂²⋊C₄	C₂×Dic₃	1	2	yes	—
717	C₂×C₂²⋊C₄	C₂×Dic₃	1	1	yes	characteristic
718	C₂×C₂²⋊C₄	C₂×Dic₃	1	1	yes	characteristic
719	C₂×C₄²	C₂²×D₃	1	2	yes	—
720	C₂×C₄²	C₂²×D₃	1	2	yes	—
721	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
722	C₂×C₄²	C₂²×D₃	1	2	yes	—
723	C₄⋊C₈	—	3	1	no	—
724	C₄⋊C₈	—	3	2	no	—
725	C₄⋊C₈	—	3	1	no	—
726	C₄⋊C₈	—	3	2	no	—
727	C₄⋊C₈	—	3	2	no	—
728	C₄⋊C₈	—	3	2	no	—
729	C₄⋊C₈	—	3	2	no	—
730	C₄⋊C₈	—	3	2	no	—
731	C₄⋊C₈	—	3	2	no	—
732	C₄⋊C₈	—	3	1	no	—
733	C₄⋊C₈	—	3	1	no	—
734	C₄⋊C₈	—	3	2	no	—
735	C₄⋊C₈	—	3	2	no	—
736	C₄⋊C₈	—	3	2	no	—
737	C₄⋊C₈	—	3	2	no	—
738	C₄⋊C₈	—	3	2	no	—
739	C₄⋊C₈	—	3	2	no	—
740	C₄⋊C₈	—	3	2	no	—
741	C₄⋊C₈	—	3	2	no	—
742	C₄⋊C₈	—	3	2	no	—
743	C₄⋊C₈	—	3	2	no	—
744	C₄⋊C₈	—	3	2	no	—
745	C₂²⋊C₈	—	3	1	no	—
746	C₂²⋊C₈	—	3	1	no	—
747	C₂²⋊C₈	—	3	1	no	—
748	C₂²⋊C₈	—	3	1	no	—
749	C₂²⋊C₈	—	3	1	no	—
750	C₂²⋊C₈	—	3	1	no	—
751	C₂²⋊C₈	—	3	1	no	—
752	C₂²⋊C₈	—	3	1	no	—
753	C₂²⋊C₈	—	3	2	no	—
754	C₂²⋊C₈	—	3	2	no	—
755	C₂²⋊C₈	—	3	2	no	—
756	C₂²⋊C₈	—	3	2	no	—
757	C₂²⋊C₈	—	3	2	no	—
758	C₂²⋊C₈	—	3	2	no	—
759	C₂²⋊C₈	—	3	2	no	—
760	C₂²⋊C₈	—	3	2	no	—
761	#97	—	3	1	no	—
762	#97	—	3	1	no	—
763	#97	—	3	1	no	—
764	#97	—	3	1	no	—
765	#97	—	3	2	no	—
766	#97	—	3	2	no	—
767	#97	—	3	2	no	—
768	#97	—	3	2	no	—
769	#97	—	3	2	no	—
770	C₄×C₈	—	3	2	no	—
771	C₄×C₈	—	3	2	no	—
772	C₄×C₈	—	3	2	no	—
773	C₄×C₈	—	3	2	no	—
774	C₄×C₈	—	3	2	no	—
775	C₂³×C₃	—	2	2	no	—
776	C₂³×C₃	—	2	2	no	—
777	C₂³×C₃	—	2	2	no	—
778	C₂³×C₃	—	4	1	no	—
779	C₂³×C₃	—	4	1	no	—
780	C₂³×C₃	—	4	1	no	—
781	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
782	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
783	C₂³×C₃	C₂³×C₄	1	2	yes	—
784	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
785	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
786	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
787	C₃×Q₈	—	2	2	no	—
788	C₃×Q₈	—	4	2	no	—
789	C₃×Q₈	—	4	2	no	—
790	C₃×D₄	—	2	4	no	—
791	C₃×D₄	—	2	2	no	—
792	C₃×D₄	—	2	2	no	—
793	C₃×D₄	—	2	4	no	—
794	C₃×D₄	—	2	2	no	—
795	C₃×D₄	—	4	1	no	—
796	C₃×D₄	—	4	1	no	—
797	C₃×D₄	—	4	2	no	—
798	C₃×D₄	—	4	2	no	—
799	C₃×D₄	—	4	2	no	—
800	C₂×C₃×C₄	—	2	2	no	—
801	C₂×C₃×C₄	—	2	2	no	—
802	C₂×C₃×C₄	—	2	4	no	—
803	C₂×C₃×C₄	—	2	2	no	—
804	C₂×C₃×C₄	—	2	2	no	—
805	C₂×C₃×C₄	—	2	2	no	—
806	C₂×C₃×C₄	—	2	2	no	—
807	C₂×C₃×C₄	—	2	1	no	—
808	C₂×C₃×C₄	—	2	1	no	—
809	C₂×C₃×C₄	—	2	1	no	—
810	C₂×C₃×C₄	—	2	2	no	—
811	C₂×C₃×C₄	—	2	1	no	—
812	C₂×C₃×C₄	—	2	1	no	—
813	C₂×C₃×C₄	—	2	1	no	—
814	C₂×C₃×C₄	—	2	1	no	—
815	C₂×C₃×C₄	—	2	1	no	—
816	C₂×C₃×C₄	—	2	2	no	—
817	C₂×C₃×C₄	—	4	2	no	—
818	C₂×C₃×C₄	—	4	2	no	—
819	C₂×C₃×C₄	—	4	2	no	—
820	C₂×C₃×C₄	—	4	1	no	—
821	C₂×C₃×C₄	—	4	1	no	—
822	C₂×C₃×C₄	—	4	2	no	—
823	C₂×C₃×C₄	—	4	2	no	—
824	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
825	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
826	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
827	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
828	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
829	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
830	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
831	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
832	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
833	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
834	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
835	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
836	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
837	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
838	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
839	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
840	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
841	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
842	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
843	C₃⋊C₈	—	2	1	no	—
844	C₃⋊C₈	—	2	1	no	—
845	C₃⋊C₈	—	2	1	no	—
846	C₃⋊C₈	—	2	1	no	—
847	C₃⋊C₈	—	2	1	no	—
848	C₃⋊C₈	—	2	1	no	—
849	C₃⋊C₈	—	2	2	no	—
850	C₃⋊C₈	—	2	2	no	—
851	C₃⋊C₈	—	2	2	no	—
852	C₃⋊C₈	—	2	1	no	—
853	C₃⋊C₈	—	2	1	no	—
854	C₃⋊C₈	—	2	2	no	—
855	C₂⁴	C₂²×Dic₃	1	1	yes	characteristic
856	C₂⁴	C₂²×Dic₃	1	1	yes	characteristic
857	#41	—	2	2	no	—
858	#41	—	2	2	no	—
859	#41	—	4	4	no	—
860	C₂×Q₈	C₂²×Dic₃	1	1	yes	characteristic
861	C₂×Q₈	C₂²×Dic₃	1	2	yes	—
862	C₂×Q₈	C₂²×Dic₃	1	2	yes	—
863	C₂×D₄	—	4	2	no	—
864	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
865	C₂×D₄	C₂²×Dic₃	1	2	yes	—
866	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
867	C₂×D₄	C₂²×Dic₃	1	2	yes	—
868	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
869	C₂×D₄	C₂²×Dic₃	1	2	yes	—
870	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
871	C₂×D₄	C₂²×Dic₃	1	1	yes	characteristic
872	C₂×D₄	C₂²×Dic₃	1	2	yes	—
873	C₂×D₄	C₂²×Dic₃	1	2	yes	—
874	C₂²×C₄	—	2	2	no	—
875	C₂²×C₄	—	2	2	no	—
876	C₂²×C₄	—	2	2	no	—
877	C₂²×C₄	—	2	2	no	—
878	C₂²×C₄	C₂²×Dic₃	1	2	yes	—
879	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
880	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
881	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
882	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
883	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
884	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
885	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
886	C₂²×C₄	C₂²×Dic₃	1	2	yes	—
887	C₂²×C₄	C₂²×Dic₃	1	2	yes	—
888	C₂²×C₄	C₂²×Dic₃	1	2	yes	—
889	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
890	C₂²×C₄	C₂²×Dic₃	1	2	yes	—
891	C₂²×C₄	C₂²×Dic₃	1	2	yes	—
892	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
893	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
894	C₂²×C₄	C₂³×D₃	1	2	yes	—
895	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
896	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
897	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
898	M₁₆	—	6	2	no	—
899	M₁₆	—	6	2	no	—
900	M₁₆	—	6	2	no	—
901	M₁₆	—	6	2	no	—
902	M₁₆	—	12	1	no	—
903	M₁₆	—	12	1	no	—
904	M₁₆	—	12	1	no	—
905	M₁₆	—	12	1	no	—
906	M₁₆	—	12	2	no	—
907	M₁₆	—	12	2	no	—
908	M₁₆	—	12	2	no	—
909	M₁₆	—	12	2	no	—
910	C₂×C₈	—	3	2	no	—
911	C₂×C₈	—	3	1	no	—
912	C₂×C₈	—	3	1	no	—
913	C₂×C₈	—	3	1	no	—
914	C₂×C₈	—	3	1	no	—
915	C₂×C₈	—	3	2	no	—
916	C₂×C₈	—	3	2	no	—
917	C₂×C₈	—	3	2	no	—
918	C₂×C₈	—	3	1	no	—
919	C₂×C₈	—	3	1	no	—
920	C₂×C₈	—	3	1	no	—
921	C₂×C₈	—	3	1	no	—
922	C₂×C₈	—	6	2	no	—
923	C₂×C₈	—	6	2	no	—
924	C₂×C₈	—	6	2	no	—
925	C₂×C₈	—	6	2	no	—
926	C₂×C₈	—	12	1	no	—
927	C₂×C₈	—	12	1	no	—
928	C₂×C₈	—	12	1	no	—
929	C₂×C₈	—	12	1	no	—
930	C₂×C₈	—	12	2	no	—
931	C₂×C₈	—	12	2	no	—
932	C₂×C₈	—	12	2	no	—
933	C₂×C₈	—	12	2	no	—
934	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
935	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
936	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
937	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
938	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
939	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
940	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
941	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
942	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
943	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
944	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
945	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
946	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
947	C₄⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
948	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
949	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
950	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
951	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
952	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
953	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
954	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
955	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
956	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
957	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
958	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
959	C₄⋊C₄	C₂²×Dic₃	1	2	yes	—
960	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
961	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
962	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
963	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
964	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
965	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
966	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
967	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
968	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
969	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
970	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
971	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
972	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
973	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
974	C₂²⋊C₄	C₂²×Dic₃	1	1	yes	characteristic
975	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
976	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
977	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
978	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
979	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
980	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
981	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
982	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
983	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
984	C₂²⋊C₄	C₂²×Dic₃	1	2	yes	—
985	C₄²	C₂²×Dic₃	1	2	yes	—
986	C₄²	C₂²×Dic₃	1	2	yes	—
987	C₄²	C₂²×Dic₃	1	2	yes	—
988	C₄²	C₂²×Dic₃	1	2	yes	—
989	C₄²	C₂²×Dic₃	1	2	yes	—
990	C₄²	C₂²×Dic₃	1	1	yes	characteristic
991	C₄²	C₂²×Dic₃	1	1	yes	characteristic
992	C₄²	C₂²×Dic₃	1	2	yes	—
993	C₄²	C₂³×D₃	1	1	yes	characteristic
994	C₄²	C₂³×D₃	1	2	yes	—
995	C₄²	C₂³×D₃	1	2	yes	—
996	C₄²	C₂³×D₃	1	1	yes	characteristic
997	C₄²	C₂³×D₃	1	2	yes	—
998	C₂²×C₃	—	2	1	no	—
999	C₂²×C₃	—	2	1	no	—
1000	C₂²×C₃	—	2	1	no	—
1001	C₂²×C₃	—	2	1	no	—
1002	C₂²×C₃	—	2	1	no	—
1003	C₂²×C₃	—	2	1	no	—
1004	C₂²×C₃	—	2	1	no	—
1005	C₂²×C₃	—	2	2	no	—
1006	C₂²×C₃	—	2	1	no	—
1007	C₂²×C₃	—	2	2	no	—
1008	C₂²×C₃	—	2	1	no	—
1009	C₂²×C₃	—	2	1	no	—
1010	C₂²×C₃	—	2	1	no	—
1011	C₂²×C₃	—	2	2	no	—
1012	C₂²×C₃	—	2	1	no	—
1013	C₂²×C₃	—	2	1	no	—
1014	C₂²×C₃	—	4	4	no	—
1015	C₂²×C₃	—	8	2	no	—
1016	C₂²×C₃	#520	1	2	yes	—
1017	C₂²×C₃	#568	1	2	yes	—
1018	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1019	C₃×C₄	—	2	1	no	—
1020	C₃×C₄	—	2	1	no	—
1021	C₃×C₄	—	2	1	no	—
1022	C₃×C₄	—	2	1	no	—
1023	C₃×C₄	—	2	2	no	—
1024	C₃×C₄	—	2	2	no	—
1025	C₃×C₄	—	2	2	no	—
1026	C₃×C₄	—	2	1	no	—
1027	C₃×C₄	—	2	1	no	—
1028	C₃×C₄	—	2	2	no	—
1029	C₃×C₄	—	2	1	no	—
1030	C₃×C₄	—	2	2	no	—
1031	C₃×C₄	—	2	2	no	—
1032	C₃×C₄	—	2	2	no	—
1033	C₃×C₄	—	2	1	no	—
1034	C₃×C₄	#520	1	2	yes	—
1035	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1036	C₃×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1037	C₂³	—	2	2	no	—
1038	C₂³	—	2	2	no	—
1039	C₂³	—	2	2	no	—
1040	C₂³	—	4	1	no	—
1041	C₂³	—	4	1	no	—
1042	C₂³	—	4	1	no	—
1043	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1044	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1045	C₂³	C₂³×Dic₃	1	2	yes	—
1046	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1047	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1048	C₂³	C₂³×Dic₃	1	1	yes	characteristic
1049	Q₈	—	2	2	no	—
1050	Q₈	—	4	2	no	—
1051	Q₈	—	4	2	no	—
1052	D₄	—	2	2	no	—
1053	D₄	—	2	2	no	—
1054	D₄	—	2	4	no	—
1055	D₄	—	2	4	no	—
1056	D₄	—	2	2	no	—
1057	D₄	—	4	1	no	—
1058	D₄	—	4	1	no	—
1059	D₄	—	4	2	no	—
1060	D₄	—	4	2	no	—
1061	D₄	—	4	2	no	—
1062	C₂×C₄	—	2	4	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	4	1	no	—
1080	C₂×C₄	—	4	2	no	—
1081	C₂×C₄	—	4	2	no	—
1082	C₂×C₄	—	4	2	no	—
1083	C₂×C₄	—	4	2	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	4	1	no	—
1086	C₂×C₄	#1009	1	2	yes	—
1087	C₂×C₄	#1010	1	2	yes	—
1088	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1089	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1090	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1091	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1092	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1093	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1094	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1095	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1096	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1097	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1098	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1099	C₂×C₄	C₂³×Dic₃	1	2	yes	—
1100	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1101	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1102	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1103	C₂×C₄	C₂³×Dic₃	1	1	yes	characteristic
1104	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1105	C₈	—	6	1	no	—
1106	C₈	—	6	1	no	—
1107	C₈	—	6	1	no	—
1108	C₈	—	6	1	no	—
1109	C₈	—	6	1	no	—
1110	C₈	—	6	1	no	—
1111	C₈	—	6	2	no	—
1112	C₈	—	6	2	no	—
1113	C₈	—	6	2	no	—
1114	C₈	—	6	1	no	—
1115	C₈	—	6	1	no	—
1116	C₈	—	6	2	no	—
1117	C₂×C₃	—	2	2	no	—
1118	C₂×C₃	—	2	2	no	—
1119	C₂×C₃	—	4	2	no	—
1120	C₂×C₃	—	4	1	no	—
1121	C₂×C₃	—	4	1	no	—
1122	C₂×C₃	—	4	1	no	—
1123	C₂×C₃	C₂×#520	1	1	yes	characteristic
1124	C₂×C₃	C₂×#568	1	1	yes	characteristic
1125	C₂×C₃	#3573	1	1	yes	characteristic
1126	C₂²	—	2	1	no	—
1127	C₂²	—	2	1	no	—
1128	C₂²	—	2	1	no	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	1	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	2	no	—
1136	C₂²	—	2	1	no	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	1	no	—
1139	C₂²	—	2	1	no	—
1140	C₂²	—	2	1	no	—
1141	C₂²	—	2	2	no	—
1142	C₂²	—	4	4	no	—
1143	C₂²	—	8	2	no	—
1144	C₂²	#5819	1	2	yes	—
1145	C₂²	#5827	1	2	yes	—
1146	C₂²	C₂⁴×Dic₃	1	1	yes	characteristic
1147	C₄	—	2	1	no	—
1148	C₄	—	2	2	no	—
1149	C₄	—	2	2	no	—
1150	C₄	—	2	2	no	—
1151	C₄	—	2	1	no	—
1152	C₄	—	2	2	no	—
1153	C₄	—	2	2	no	—
1154	C₄	—	2	1	no	—
1155	C₄	—	2	1	no	—
1156	C₄	—	2	2	no	—
1157	C₄	—	2	1	no	—
1158	C₄	—	2	1	no	—
1159	C₄	—	2	1	no	—
1160	C₄	—	2	1	no	—
1161	C₄	—	2	2	no	—
1162	C₄	#5827	1	2	yes	—
1163	C₄	C₂×#1009	1	1	yes	characteristic
1164	C₄	C₂×#1010	1	1	yes	characteristic
1165	C₃	#60272	1	1	yes	characteristic, complemented, Sylow
1166	C₂	—	2	2	no	—
1167	C₂	—	2	2	no	—
1168	C₂	—	4	1	no	—
1169	C₂	—	4	1	no	—
1170	C₂	—	4	1	no	—
1171	C₂	—	4	2	no	—
1172	C₂	C₂×#5819	1	1	yes	characteristic
1173	C₂	C₂×#5827	1	1	yes	characteristic
1174	C₂	#87296	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting, prime radical	C₃×#3475	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#3475	D₃
hypocenter	C₃	#60272
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #3475

Complements

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

N	H ≅ G/N	type
2. #83330	C₂	semidirect
3. #83329	C₂	semidirect
4. #83133	C₂	semidirect
5. #83133	C₂	semidirect
6. #83132	C₂	semidirect
7. #83131	C₂	semidirect
8. #83130	C₂	semidirect
9. #83130	C₂	semidirect
10. #82918	C₂	semidirect
11. #82918	C₂	semidirect
12. #82917	C₂	semidirect
13. #82916	C₂	semidirect
14. #82522	C₂	semidirect
15. #82521	C₂	semidirect
16. #82514	C₂	semidirect
17. #82512	C₂	semidirect
18. D₄×#208	C₂	semidirect
19. C₂×#5011	C₂	semidirect
20. #82210	C₂	semidirect
21. #82210	C₂	semidirect
22. #82204	C₂	semidirect
23. C₂×#4999	C₂	semidirect
60. #5024	C₂²	semidirect
61. #5024	C₂²	semidirect
62. #5024	C₂²	semidirect
63. #5024	C₂²	semidirect
64. #5024	C₂²	semidirect
65. #5024	C₂²	semidirect
66. #5024	C₂²	semidirect
67. Q₈×C₃⋊C₈	C₂²	semidirect
69. #5012	C₂²	semidirect
70. #5012	C₂²	semidirect
71. #5012	C₂²	semidirect
72. #5012	C₂²	semidirect
83. #5011	C₂²	semidirect
84. #5011	C₂²	semidirect
85. #5011	C₂²	semidirect
86. #5011	C₂²	semidirect
87. #5011	C₂²	semidirect
88. #5011	C₂²	semidirect
89. #5011	C₂²	semidirect
90. #5011	C₂²	semidirect
92. D₄×C₃⋊C₈	C₂²	semidirect
93. D₄×C₃⋊C₈	C₂²	semidirect
94. D₄×C₃⋊C₈	C₂²	semidirect
95. D₄×C₃⋊C₈	C₂²	semidirect
96. #5000	C₂²	semidirect
97. #5000	C₂²	semidirect
98. #5000	C₂²	semidirect
99. #5000	C₂²	semidirect
100. #5000	C₂²	semidirect
101. #5000	C₂²	semidirect
110. #4999	C₂²	semidirect
111. #4999	C₂²	semidirect
112. #4999	C₂²	semidirect
113. #4999	C₂²	semidirect
114. #4999	C₂²	semidirect
115. #4999	C₂²	semidirect
120. #4926	C₂²	semidirect
121. #4926	C₂²	semidirect
122. #4926	C₂²	semidirect
123. #4926	C₂²	semidirect
124. #4925	C₂²	semidirect
125. #4925	C₂²	semidirect
127. #4924	C₂²	semidirect
128. #4924	C₂²	semidirect
129. #4924	C₂²	semidirect
131. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
132. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
133. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
1165. C₃	#60272	semidirect

Maximal subgroups

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

subgroup	index
C₃×#3475	2
#83330	2
#83329	2
#83133	2
#83132	2
#83131	2
#83130	2
#82918	2
#82917	2
#82916	2
#82522	2
#82521	2
#82514	2
#82512	2
D₄×#208	2
C₂×#5011	2
#82210	2
#82204	2
C₂×#4999	2
#60272	3