Subgroups — #11660921

Order 768.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#85843	C₂	1	1	yes	maximal, characteristic
2	C₃×#2965	C₂	1	1	yes	maximal, characteristic, complemented
3	#82522	C₂	1	1	yes	maximal, characteristic, complemented
4	#79946	C₂	1	2	yes	maximal, complemented
5	#79941	C₂	1	2	yes	maximal, complemented
6	#79544	C₂	1	2	yes	maximal, complemented
7	#79539	C₂	1	2	yes	maximal, complemented
8	#79489	C₂	1	2	yes	maximal, complemented
9	#79486	C₂	1	2	yes	maximal, complemented
10	#79478	C₂	1	2	yes	maximal, complemented
11	D₃×#435	C₂	1	2	yes	maximal, complemented
12	#79296	C₂	1	1	yes	maximal, characteristic, complemented
13	#79295	C₂	1	1	yes	maximal, characteristic, complemented
14	#79291	C₂	1	1	yes	maximal, characteristic, complemented
15	#79290	C₂	1	1	yes	maximal, characteristic, complemented
16	#79287	C₂	1	1	yes	maximal, characteristic, complemented
17	#79286	C₂	1	1	yes	maximal, characteristic, complemented
18	#78524	C₂	1	1	yes	maximal, characteristic, complemented
19	#78522	C₂	1	1	yes	maximal, characteristic, complemented
20	M₁₆×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
21	#78511	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₈×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
23	#78448	C₂	1	1	yes	maximal, characteristic, complemented
24	#60311	—	3	1	no	maximal, Sylow
25	C₃×C₄×#41	C₂²	1	1	yes	characteristic
26	#5829	C₄	1	2	yes	—
27	C₂×#907	C₂²	1	2	yes	complemented
28	C₂×D₃×M₁₆	C₂²	1	2	yes	complemented
29	C₂²×D₃×C₈	C₂²	1	2	yes	complemented
30	#5585	C₄	1	1	yes	characteristic
31	#5580	C₂²	1	2	yes	—
32	#5579	C₄	1	1	yes	characteristic
33	#5565	C₄	1	1	yes	characteristic
34	#5565	C₄	1	1	yes	characteristic
35	#5550	C₄	1	1	yes	characteristic
36	#5550	C₄	1	1	yes	characteristic
37	D₄×D₁₂	C₄	1	1	yes	characteristic
38	#5547	C₂²	1	2	yes	—
39	#5547	C₂²	1	2	yes	—
40	C₄×D₃×D₄	C₂²	1	2	yes	—
41	#5543	C₄	1	1	yes	characteristic
42	#5530	C₄	1	2	yes	—
43	#5527	C₄	1	2	yes	—
44	#5527	C₄	1	2	yes	—
45	#5479	C₂²	1	1	yes	characteristic
46	#5479	C₂²	1	1	yes	characteristic
47	#5477	C₂²	1	1	yes	characteristic
48	C₄×#235	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic
51	C₃×#446	C₂²	1	1	yes	characteristic, complemented
52	C₃×#446	C₂²	1	1	yes	characteristic, complemented
53	C₃×#436	C₂²	1	1	yes	characteristic, complemented
54	C₃×#436	C₂²	1	1	yes	characteristic, complemented
55	C₃×#435	C₂²	1	1	yes	characteristic
56	C₃×#435	C₂²	1	1	yes	characteristic
57	C₃×#435	C₂²	1	1	yes	characteristic, complemented
58	C₃×#435	C₂²	1	1	yes	characteristic, complemented
59	C₃×#431	C₂²	1	1	yes	characteristic, complemented
60	C₃×#431	C₂²	1	1	yes	characteristic, complemented
61	C₃×#431	C₂²	1	1	yes	characteristic, complemented
62	C₃×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
63	C₃×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₃×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
65	#5129	C₂²	1	2	yes	complemented
66	#5128	C₂²	1	2	yes	complemented
67	#5127	C₂²	1	2	yes	complemented
68	#5127	C₂²	1	2	yes	complemented
69	#5127	C₂²	1	2	yes	complemented
70	#5126	C₂²	1	2	yes	complemented
71	#5111	C₂²	1	2	yes	complemented
72	C₈×#67	C₂²	1	2	yes	complemented
73	C₂×(C₂×D₃)⋊C₈	C₂²	1	2	yes	complemented
74	#5024	C₂²	1	2	yes	complemented
75	#5011	C₂²	1	2	yes	—
76	#5011	C₂²	1	2	yes	complemented
77	D₄×C₃⋊C₈	C₂²	1	2	yes	complemented
78	#4926	C₂²	1	1	yes	characteristic, complemented
79	#4926	C₂²	1	1	yes	characteristic, complemented
80	#4925	C₂²	1	1	yes	characteristic, complemented
81	#4924	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
84	#4840	C₂²	1	2	yes	complemented
85	#4840	C₂²	1	2	yes	complemented
86	#4839	C₂²	1	2	yes	complemented
87	#4839	C₂²	1	2	yes	complemented
88	#4836	C₂²	1	2	yes	complemented
89	#4836	C₂²	1	2	yes	complemented
90	#4836	C₂²	1	2	yes	complemented
91	#4836	C₂²	1	2	yes	complemented
92	#4834	C₂²	1	2	yes	complemented
93	#4834	C₂²	1	2	yes	complemented
94	#4833	C₂²	1	2	yes	complemented
95	D₃×C₄⋊C₈	C₂²	1	2	yes	complemented
96	#4730	C₂²	1	2	yes	complemented
97	#4729	C₂²	1	2	yes	complemented
98	#4728	C₂²	1	2	yes	complemented
99	#4727	C₂²	1	2	yes	complemented
100	#4727	C₂²	1	2	yes	complemented
101	#4726	C₂²	1	2	yes	complemented
102	#67⋊C₈	C₂²	1	2	yes	complemented
103	#67⋊C₈	C₂²	1	2	yes	complemented
104	#67⋊C₈	C₂²	1	2	yes	complemented
105	D₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
106	D₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
107	D₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
108	#4709	C₂²	1	2	yes	complemented
109	#4708	C₂²	1	2	yes	complemented
110	#4706	C₂²	1	2	yes	complemented
111	#4706	C₂²	1	2	yes	complemented
112	#4706	C₂²	1	2	yes	complemented
113	#4706	C₂²	1	2	yes	complemented
114	#4705	C₂²	1	2	yes	complemented
115	D₃×#97	C₂²	1	2	yes	complemented
116	#4690	C₂²	1	2	yes	complemented
117	#4689	C₂²	1	2	yes	complemented
118	#4688	C₂²	1	1	yes	characteristic, complemented
119	#4688	C₂²	1	1	yes	characteristic, complemented
120	#4688	C₂²	1	1	yes	characteristic, complemented
121	#4688	C₂²	1	1	yes	characteristic, complemented
122	C₈×D₁₂	C₂²	1	1	yes	characteristic
123	C₈×D₁₂	C₂²	1	1	yes	characteristic
124	C₈×D₁₂	C₂²	1	1	yes	characteristic
125	C₈×D₁₂	C₂²	1	1	yes	characteristic
126	C₈×D₁₂	C₂²	1	2	yes	complemented
127	C₈×D₁₂	C₂²	1	2	yes	complemented
128	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
129	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
130	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
131	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
132	#4679	C₂²	1	1	yes	characteristic, complemented
133	#4679	C₂²	1	1	yes	characteristic, complemented
134	C₈×Dic₆	C₂²	1	1	yes	characteristic, complemented
135	C₈×Dic₆	C₂²	1	1	yes	characteristic, complemented
136	#3481	—	3	1	no	—
137	#2994	—	3	1	no	—
138	#2993	—	3	1	no	—
139	#2992	—	3	2	no	—
140	#2990	—	3	1	no	—
141	#2988	—	3	1	no	—
142	#2981	—	3	1	no	—
143	#2977	—	3	2	no	—
144	#2976	—	3	2	no	—
145	#2974	—	3	2	no	—
146	#2974	—	3	1	no	—
147	#2972	—	3	1	no	—
148	#2970	—	3	1	no	—
149	#2969	—	3	1	no	—
150	#2968	—	3	2	no	—
151	#2966	—	3	1	no	—
152	#2965	D₃	1	1	yes	characteristic, complemented
153	#2935	—	3	1	no	—
154	D₄×M₁₆	—	3	1	no	—
155	#2933	—	3	2	no	—
156	#2929	—	3	2	no	—
157	C₂×#435	—	3	2	no	—
158	C₂×C₈×D₄	—	3	1	no	—
159	C₂×C₃×#41	C₂×C₄	1	1	yes	characteristic
160	C₂×D₃×D₄	C₂×C₄	1	2	yes	—
161	C₂×#235	C₂×C₄	1	1	yes	characteristic
162	C₂×#235	C₂³	1	2	yes	—
163	C₂²×D₁₂	C₂×C₄	1	1	yes	characteristic
164	C₂²×D₁₂	C₂×C₄	1	1	yes	characteristic
165	C₂²×C₄×D₃	C₂³	1	2	yes	—
166	C₂²×C₄×D₃	C₂³	1	2	yes	—
167	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
168	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
169	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
170	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
171	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
172	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
173	C₃×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
174	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
175	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
176	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
177	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
178	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
179	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
180	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
181	C₃×#117	C₂×C₄	1	1	yes	characteristic
182	C₃×#117	C₂×C₄	1	1	yes	characteristic
183	C₃×#117	C₂×C₄	1	1	yes	characteristic
184	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
185	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
186	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
187	#947	C₂×C₄	1	2	yes	—
188	#946	C₂×C₄	1	2	yes	—
189	#939	C₂×C₄	1	2	yes	—
190	#939	C₂×C₄	1	2	yes	—
191	#937	C₂×C₄	1	2	yes	—
192	#937	C₂×C₄	1	2	yes	—
193	D₄×Dic₃	C₂×C₄	1	2	yes	—
194	#930	C₂×C₄	1	2	yes	—
195	#930	C₂×C₄	1	1	yes	characteristic
196	#930	C₂×C₄	1	1	yes	characteristic
197	#930	C₂×C₄	1	1	yes	characteristic
198	#930	C₂×C₄	1	1	yes	characteristic
199	#929	C₂×C₄	1	2	yes	—
200	#929	C₂×C₄	1	2	yes	—
201	C₄×#67	C₂×C₄	1	2	yes	—
202	C₄×#67	C₂³	1	2	yes	—
203	C₄×#67	C₂³	1	2	yes	—
204	C₄×#67	C₂³	1	2	yes	—
205	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	2	yes	—
206	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	2	yes	—
207	#926	C₂×C₄	1	1	yes	characteristic
208	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
209	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
210	#924	C₂×C₄	1	1	yes	characteristic
211	#924	C₂×C₄	1	1	yes	characteristic
212	C₂×#208	C₂³	1	2	yes	—
213	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
214	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
215	#907	—	4	4	no	—
216	D₃×M₁₆	—	4	4	no	—
217	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
218	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
219	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
220	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
221	C₂×D₃×C₈	—	4	4	no	—
222	C₂×D₃×C₈	C₂³	1	2	yes	—
223	C₂×D₃×C₈	C₂³	1	2	yes	—
224	C₂×D₃×C₈	C₂³	1	2	yes	—
225	C₂×D₃×C₈	C₂³	1	2	yes	—
226	C₂×D₃×C₈	C₂³	1	2	yes	—
227	C₂×D₃×C₈	C₂³	1	2	yes	—
228	C₂×D₃×C₈	C₂³	1	2	yes	—
229	C₂×D₃×C₈	C₂³	1	2	yes	—
230	#898	C₂×C₄	1	2	yes	—
231	#898	C₂×C₄	1	2	yes	—
232	#896	C₂×C₄	1	2	yes	—
233	#896	C₂×C₄	1	2	yes	—
234	#895	C₂×C₄	1	2	yes	—
235	#894	C₂×C₄	1	2	yes	—
236	#894	C₂×C₄	1	2	yes	—
237	#894	C₂×C₄	1	2	yes	—
238	#894	C₂×C₄	1	2	yes	—
239	#893	C₂×C₄	1	2	yes	—
240	D₃×C₄⋊C₄	C₂×C₄	1	2	yes	—
241	#890	C₂×C₄	1	2	yes	—
242	#884	C₂×C₄	1	2	yes	—
243	#884	C₂×C₄	1	2	yes	—
244	#883	C₂×C₄	1	2	yes	—
245	#883	C₂×C₄	1	2	yes	—
246	#882	C₂×C₄	1	2	yes	—
247	#882	C₂×C₄	1	2	yes	—
248	#67⋊C₄	C₂×C₄	1	2	yes	—
249	#67⋊C₄	C₂×C₄	1	2	yes	—
250	D₃×C₂²⋊C₄	C₂×C₄	1	2	yes	—
251	D₃×C₂²⋊C₄	C₂×C₄	1	2	yes	—
252	#878	C₂×C₄	1	2	yes	—
253	#878	C₂×C₄	1	2	yes	—
254	#876	C₂×C₄	1	2	yes	—
255	#876	C₂×C₄	1	2	yes	—
256	#875	C₂×C₄	1	2	yes	—
257	#875	C₂×C₄	1	1	yes	characteristic
258	#875	C₂×C₄	1	1	yes	characteristic
259	#874	C₂×C₄	1	1	yes	characteristic
260	C₄×D₁₂	C₂×C₄	1	2	yes	—
261	C₄×D₁₂	C₂×C₄	1	2	yes	—
262	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
263	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
264	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
265	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
266	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
267	C₄×D₁₂	C₂³	1	1	yes	characteristic
268	C₄×D₁₂	C₂³	1	1	yes	characteristic
269	C₄×D₁₂	C₂³	1	1	yes	characteristic
270	C₄×D₁₂	C₂³	1	2	yes	—
271	C₄×D₁₂	C₂³	1	2	yes	—
272	C₄×D₁₂	C₂³	1	2	yes	—
273	#872	C₂×C₄	1	2	yes	—
274	#872	C₂³	1	2	yes	—
275	#872	C₂³	1	2	yes	—
276	C₄²×D₃	C₂³	1	2	yes	—
277	#870	C₂×C₄	1	1	yes	characteristic
278	#870	C₂×C₄	1	1	yes	characteristic
279	#869	C₂×C₄	1	1	yes	characteristic
280	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
281	C₄×Dic₆	C₂³	1	1	yes	characteristic
282	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
289	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
290	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
291	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
292	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
293	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
294	C₃×#97	C₂³	1	1	yes	characteristic
295	C₃×#97	C₂³	1	1	yes	characteristic
296	C₃×#97	C₂³	1	1	yes	characteristic
297	C₃×#97	C₂³	1	1	yes	characteristic
298	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
299	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
300	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
301	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
302	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
303	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
304	#830	C₂³	1	2	yes	—
305	#830	C₂³	1	2	yes	—
306	#830	C₂³	1	2	yes	—
307	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
308	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
309	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
310	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
311	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
312	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
313	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
314	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
315	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
316	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
317	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
318	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
319	#815	C₂³	1	2	yes	—
320	#815	C₂³	1	2	yes	—
321	Dic₃⋊C₈	C₂³	1	2	yes	—
322	Dic₃⋊C₈	C₂³	1	2	yes	—
323	Dic₃⋊C₈	C₂³	1	2	yes	—
324	Dic₃⋊C₈	C₂³	1	2	yes	—
325	C₈×Dic₃	C₂³	1	2	yes	—
326	C₈×Dic₃	C₂³	1	2	yes	—
327	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
328	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
329	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
330	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
331	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
332	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
333	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
334	#803	C₂³	1	2	yes	—
335	#803	C₂³	1	2	yes	—
336	C₄×C₃⋊C₈	C₂³	1	2	yes	—
337	C₂×#131	—	3	2	no	—
338	C₂²×M₁₆	—	3	2	no	—
339	C₂³×C₈	—	3	2	no	—
340	#559	—	3	1	no	—
341	#554	—	3	1	no	—
342	#554	—	3	1	no	—
343	#553	—	3	1	no	—
344	#553	—	3	1	no	—
345	#553	—	3	2	no	—
346	#551	—	3	2	no	—
347	#551	—	3	2	no	—
348	#546	—	3	2	no	—
349	#546	—	3	1	no	—
350	#546	—	3	1	no	—
351	D₄²	—	3	1	no	—
352	#532	—	3	1	no	—
353	#529	—	3	2	no	—
354	#529	—	3	1	no	—
355	#529	—	3	1	no	—
356	#525	—	3	2	no	—
357	#525	—	3	2	no	—
358	C₄×#41	—	3	1	no	—
359	C₄×#41	C₂×D₃	1	1	yes	characteristic
360	C₂×C₄×D₄	—	3	2	no	—
361	C₂×C₄×D₄	—	3	1	no	—
362	C₂×C₄×D₄	—	3	1	no	—
363	#446	—	3	2	no	—
364	#446	—	3	1	no	—
365	#446	—	3	1	no	—
366	#446	C₂×D₃	1	1	yes	characteristic, complemented
367	#446	C₂×D₃	1	1	yes	characteristic, complemented
368	C₈×Q₈	—	3	1	no	—
369	C₈×Q₈	—	3	1	no	—
370	#436	—	3	2	no	—
371	#436	—	3	2	no	—
372	#436	—	3	1	no	—
373	#436	—	3	1	no	—
374	#436	—	3	1	no	—
375	#436	—	3	1	no	—
376	#436	C₂×D₃	1	1	yes	characteristic, complemented
377	#436	C₂×D₃	1	1	yes	characteristic, complemented
378	#435	—	3	2	no	—
379	#435	—	3	2	no	—
380	#435	—	3	2	no	—
381	#435	—	3	2	no	—
382	#435	—	3	2	no	—
383	#435	—	3	2	no	—
384	#435	—	3	2	no	—
385	#435	—	3	2	no	—
386	#435	—	3	2	no	—
387	#435	—	3	2	no	—
388	#435	—	3	2	no	—
389	#435	—	3	2	no	—
390	#435	—	3	2	no	—
391	#435	—	3	2	no	—
392	#435	—	3	2	no	—
393	#435	—	3	2	no	—
394	#435	C₂×D₃	1	1	yes	characteristic
395	#435	C₂×D₃	1	1	yes	characteristic
396	#435	C₂×D₃	1	1	yes	characteristic, complemented
397	#435	C₂×D₃	1	1	yes	characteristic, complemented
398	C₈×D₄	—	3	2	no	—
399	C₈×D₄	—	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	C₈×D₄	—	3	1	no	—
406	C₈×D₄	—	3	1	no	—
407	C₈×D₄	—	3	1	no	—
408	C₈×D₄	—	3	1	no	—
409	C₈×D₄	—	3	2	no	—
410	C₈×D₄	—	3	1	no	—
411	C₈×D₄	—	3	2	no	—
412	C₈×D₄	—	3	1	no	—
413	C₈×D₄	—	3	1	no	—
414	C₈×D₄	—	3	1	no	—
415	#433	—	3	2	no	—
416	#433	—	3	2	no	—
417	#433	—	3	2	no	—
418	#433	—	3	2	no	—
419	#432	—	3	1	no	—
420	#432	—	3	1	no	—
421	#432	—	3	2	no	—
422	#431	—	3	1	no	—
423	#431	—	3	2	no	—
424	#431	C₂×D₃	1	1	yes	characteristic, complemented
425	#431	C₂×D₃	1	1	yes	characteristic, complemented
426	#431	C₂×D₃	1	1	yes	characteristic, complemented
427	#424	—	3	2	no	—
428	#424	—	3	2	no	—
429	#423	—	3	1	no	—
430	C₂×C₄⋊C₈	—	3	1	no	—
431	C₂×C₄⋊C₈	—	3	1	no	—
432	C₂×C₄⋊C₈	—	3	2	no	—
433	#408	—	3	2	no	—
434	#408	—	3	2	no	—
435	#408	—	3	2	no	—
436	#407	—	3	2	no	—
437	#407	—	3	2	no	—
438	C₂×C₂²⋊C₈	—	3	2	no	—
439	C₂×C₂²⋊C₈	—	3	2	no	—
440	C₂×C₂²⋊C₈	—	3	2	no	—
441	C₂×C₂²⋊C₈	—	3	2	no	—
442	#405	—	3	2	no	—
443	#405	—	3	2	no	—
444	C₄×M₁₆	C₂×D₃	1	1	yes	characteristic, complemented
445	C₄×M₁₆	C₂×D₃	1	1	yes	characteristic, complemented
446	C₂×#97	—	3	2	no	—
447	C₂×C₄×C₈	C₂×D₃	1	1	yes	characteristic, complemented
448	C₂³×D₃	C₂²×C₄	1	2	yes	—
449	C₂³×D₃	C₂²×C₄	1	2	yes	—
450	C₃×#41	—	4	2	no	—
451	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
452	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
453	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
454	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
455	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
456	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
457	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
458	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
459	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
460	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
461	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
462	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
463	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
464	C₂×#67	C₂²×C₄	1	2	yes	—
465	C₂×#67	C₂²×C₄	1	2	yes	—
466	C₂×#67	C₂²×C₄	1	2	yes	—
467	C₂×#67	C₂²×C₄	1	2	yes	—
468	C₂×#67	C₂²×C₄	1	2	yes	—
469	C₂²×Dic₃	C₂²×C₄	1	2	yes	—
470	C₂²×Dic₃	C₂²×C₄	1	2	yes	—
471	D₃×D₄	—	4	4	no	—
472	#235	—	2	4	no	—
473	#235	—	4	2	no	—
474	#235	—	4	2	no	—
475	C₂×D₁₂	—	2	4	no	—
476	C₂×D₁₂	—	2	4	no	—
477	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
478	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
479	C₂×D₁₂	C₂²×C₄	1	2	yes	—
480	C₂×D₁₂	C₂²×C₄	1	2	yes	—
481	C₂×D₁₂	C₂²×C₄	1	2	yes	—
482	C₂×D₁₂	C₂²×C₄	1	2	yes	—
483	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
484	C₂×C₄×D₃	—	4	2	no	—
485	C₂×C₄×D₃	—	4	2	no	—
486	C₂×C₄×D₃	—	4	2	no	—
487	C₂×C₄×D₃	—	4	2	no	—
488	C₂×C₄×D₃	C₂²×C₄	1	2	yes	—
489	C₂×C₄×D₃	C₂²×C₄	1	2	yes	—
490	C₂×C₄×D₃	C₂²×C₄	1	2	yes	—
491	C₂×C₄×D₃	C₂²×C₄	1	2	yes	—
492	C₂×C₄×D₃	C₂²×C₄	1	2	yes	—
493	C₂×C₄×D₃	C₂²×C₄	1	2	yes	—
494	C₂×C₄×D₃	C₂⁴	1	2	yes	—
495	C₂×C₄×D₃	C₂⁴	1	2	yes	—
496	C₂×C₄×D₃	C₂⁴	1	2	yes	—
497	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
498	C₂×Dic₆	C₂²×C₄	1	2	yes	—
499	C₃×M₁₆	—	2	2	no	—
500	C₃×M₁₆	—	2	2	no	—
501	C₃×M₁₆	—	4	1	no	—
502	C₃×M₁₆	—	4	1	no	—
503	C₂×C₃×C₈	—	2	2	no	—
504	C₂×C₃×C₈	—	4	1	no	—
505	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
506	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
507	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
508	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
509	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
510	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
511	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
512	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
513	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
514	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
515	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
516	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
517	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
518	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
519	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
520	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
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	1	yes	characteristic
524	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
525	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
526	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
527	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
528	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
529	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
530	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
531	C₃×C₄²	C₂⁴	1	1	yes	characteristic
532	C₃×C₄²	C₂⁴	1	1	yes	characteristic
533	C₃×C₄²	C₂⁴	1	1	yes	characteristic
534	C₃×C₄²	C₂⁴	1	1	yes	characteristic
535	#217	C₂²×C₄	1	2	yes	—
536	#217	C₂²×C₄	1	2	yes	—
537	#217	C₂²×C₄	1	2	yes	—
538	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
539	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
540	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
541	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
542	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
543	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
544	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
545	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
546	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
547	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
548	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
549	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
550	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
551	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
552	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
553	(C₂×D₃)⋊C₄	C₂²×C₄	1	2	yes	—
554	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
555	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
556	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
557	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
558	C₄⋊Dic₃	C₂²×C₄	1	2	yes	—
559	C₄⋊Dic₃	C₂²×C₄	1	2	yes	—
560	C₄⋊Dic₃	C₂²×C₄	1	2	yes	—
561	Dic₃⋊C₄	C₂²×C₄	1	2	yes	—
562	Dic₃⋊C₄	C₂²×C₄	1	2	yes	—
563	Dic₃⋊C₄	C₂²×C₄	1	2	yes	—
564	Dic₃⋊C₄	C₂²×C₄	1	2	yes	—
565	Dic₃⋊C₄	C₂²×C₄	1	2	yes	—
566	Dic₃⋊C₄	C₂²×C₄	1	2	yes	—
567	Dic₃⋊C₄	C₂²×C₄	1	2	yes	—
568	Dic₃⋊C₄	C₂²×C₄	1	2	yes	—
569	C₄×Dic₃	C₂²×C₄	1	2	yes	—
570	C₄×Dic₃	C₂²×C₄	1	2	yes	—
571	C₄×Dic₃	C₂⁴	1	2	yes	—
572	#208	—	4	2	no	—
573	C₂×C₃⋊C₈	—	4	2	no	—
574	C₂×C₃⋊C₈	—	4	2	no	—
575	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
576	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
577	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
578	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
579	ΓL(1,𝔽₂₅)	—	2	4	no	—
580	ΓL(1,𝔽₂₅)	—	4	2	no	—
581	ΓL(1,𝔽₂₅)	—	4	2	no	—
582	ΓL(1,𝔽₂₅)	—	4	2	no	—
583	D₃×C₈	—	2	4	no	—
584	D₃×C₈	—	2	4	no	—
585	D₃×C₈	—	4	2	no	—
586	D₃×C₈	—	4	2	no	—
587	D₃×C₈	—	4	2	no	—
588	D₃×C₈	—	4	2	no	—
589	D₃×C₈	—	4	2	no	—
590	D₃×C₈	—	4	2	no	—
591	C₂×#41	—	3	1	no	—
592	C₂×#41	—	3	2	no	—
593	C₂×#41	C₄×D₃	1	1	yes	characteristic
594	C₂²×D₄	—	3	2	no	—
595	C₂²×D₄	—	3	1	no	—
596	C₂²×D₄	—	3	1	no	—
597	C₂³×C₄	—	3	2	no	—
598	C₂³×C₄	—	3	2	no	—
599	#131	—	12	4	no	—
600	C₂×M₁₆	—	3	2	no	—
601	C₂×M₁₆	—	3	2	no	—
602	C₂×M₁₆	—	3	2	no	—
603	C₂×M₁₆	—	3	2	no	—
604	C₂×M₁₆	—	3	2	no	—
605	C₂×M₁₆	—	12	4	no	—
606	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
607	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
608	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
609	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
610	C₂²×C₈	—	3	2	no	—
611	C₂²×C₈	—	3	2	no	—
612	C₂²×C₈	—	3	2	no	—
613	C₂²×C₈	—	3	2	no	—
614	C₂²×C₈	—	3	2	no	—
615	C₂²×C₈	—	3	2	no	—
616	C₂²×C₈	—	3	2	no	—
617	C₂²×C₈	—	3	2	no	—
618	C₂²×C₈	—	3	2	no	—
619	C₂²×C₈	—	3	2	no	—
620	C₂²×C₈	—	12	4	no	—
621	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
622	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
623	C₄⋊Q₈	—	3	1	no	—
624	#127	—	3	1	no	—
625	#126	—	3	2	no	—
626	#126	—	3	2	no	—
627	#126	—	3	2	no	—
628	#126	—	3	2	no	—
629	#125	—	3	2	no	—
630	#125	—	3	1	no	—
631	#125	—	3	1	no	—
632	#124	—	3	2	no	—
633	#124	—	3	1	no	—
634	#124	—	3	1	no	—
635	#124	—	3	2	no	—
636	#123	—	3	2	no	—
637	#123	—	3	2	no	—
638	#123	—	3	2	no	—
639	#123	—	3	2	no	—
640	#123	—	3	2	no	—
641	#123	—	3	2	no	—
642	#123	—	3	2	no	—
643	#123	—	3	2	no	—
644	C₂²⋊Q₈	—	3	2	no	—
645	C₂²⋊Q₈	—	3	1	no	—
646	C₂²⋊Q₈	—	3	1	no	—
647	C₂²⋊Q₈	—	3	2	no	—
648	C₂²⋊Q₈	—	3	2	no	—
649	C₂²⋊Q₈	—	3	2	no	—
650	C₂²⋊Q₈	—	3	2	no	—
651	#121	—	3	2	no	—
652	#121	—	3	2	no	—
653	#121	—	3	1	no	—
654	#121	—	3	1	no	—
655	#121	—	3	1	no	—
656	#121	—	3	1	no	—
657	#121	—	3	2	no	—
658	#121	—	3	2	no	—
659	#121	—	3	2	no	—
660	#121	—	3	2	no	—
661	#120	—	3	2	no	—
662	#120	—	3	2	no	—
663	#120	—	3	2	no	—
664	#120	—	3	2	no	—
665	C₄×Q₈	—	3	1	no	—
666	C₄×Q₈	—	3	1	no	—
667	C₄×Q₈	C₄×D₃	1	1	yes	characteristic
668	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
669	C₄×D₄	—	3	2	no	—
670	C₄×D₄	—	3	2	no	—
671	C₄×D₄	—	3	2	no	—
672	C₄×D₄	—	3	2	no	—
673	C₄×D₄	—	3	2	no	—
674	C₄×D₄	—	3	2	no	—
675	C₄×D₄	—	3	2	no	—
676	C₄×D₄	—	3	2	no	—
677	C₄×D₄	—	3	1	no	—
678	C₄×D₄	—	3	1	no	—
679	C₄×D₄	—	3	2	no	—
680	C₄×D₄	—	3	2	no	—
681	C₄×D₄	—	3	1	no	—
682	C₄×D₄	—	3	1	no	—
683	C₄×D₄	—	3	1	no	—
684	C₄×D₄	—	3	1	no	—
685	C₄×D₄	—	3	2	no	—
686	C₄×D₄	—	3	2	no	—
687	C₄×D₄	—	3	1	no	—
688	C₄×D₄	—	3	1	no	—
689	C₄×D₄	—	3	2	no	—
690	C₄×D₄	C₄×D₃	1	1	yes	characteristic
691	C₄×D₄	C₄×D₃	1	1	yes	characteristic
692	C₄×D₄	C₄×D₃	1	1	yes	characteristic
693	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
694	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
695	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
696	#117	—	3	1	no	—
697	#117	—	3	2	no	—
698	#117	—	3	2	no	—
699	#117	—	3	2	no	—
700	#117	C₄×D₃	1	1	yes	characteristic
701	#117	C₄×D₃	1	1	yes	characteristic
702	#117	C₄×D₃	1	1	yes	characteristic
703	C₂×C₄⋊C₄	—	3	1	no	—
704	C₂×C₄⋊C₄	—	3	1	no	—
705	C₂×C₄⋊C₄	—	3	2	no	—
706	C₂×C₂²⋊C₄	—	3	2	no	—
707	C₂×C₂²⋊C₄	—	3	2	no	—
708	C₂×C₂²⋊C₄	—	3	2	no	—
709	C₂×C₂²⋊C₄	—	3	2	no	—
710	C₂×C₄²	—	3	2	no	—
711	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
712	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
713	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
714	C₄⋊C₈	—	3	2	no	—
715	C₄⋊C₈	—	3	2	no	—
716	C₄⋊C₈	—	3	2	no	—
717	C₄⋊C₈	—	3	2	no	—
718	C₄⋊C₈	—	3	1	no	—
719	C₄⋊C₈	—	3	2	no	—
720	C₄⋊C₈	—	3	1	no	—
721	C₄⋊C₈	—	3	1	no	—
722	C₄⋊C₈	—	3	2	no	—
723	C₄⋊C₈	—	3	2	no	—
724	C₄⋊C₈	—	3	1	no	—
725	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
726	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
727	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
728	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
729	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
730	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
731	C₂²⋊C₈	—	3	2	no	—
732	C₂²⋊C₈	—	3	2	no	—
733	C₂²⋊C₈	—	3	2	no	—
734	C₂²⋊C₈	—	3	2	no	—
735	C₂²⋊C₈	—	3	2	no	—
736	C₂²⋊C₈	—	3	2	no	—
737	C₂²⋊C₈	—	3	2	no	—
738	C₂²⋊C₈	—	3	2	no	—
739	C₂²⋊C₈	—	3	2	no	—
740	C₂²⋊C₈	—	3	2	no	—
741	C₂²⋊C₈	—	3	2	no	—
742	C₂²⋊C₈	—	3	2	no	—
743	C₂²⋊C₈	—	3	2	no	—
744	C₂²⋊C₈	—	3	2	no	—
745	C₂²⋊C₈	—	3	2	no	—
746	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
747	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
748	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
749	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
750	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
751	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
752	#97	—	3	2	no	—
753	#97	—	3	2	no	—
754	#97	—	3	2	no	—
755	#97	—	3	2	no	—
756	#97	C₂²×D₃	1	1	yes	characteristic
757	#97	C₂²×D₃	1	1	yes	characteristic
758	#97	C₂²×D₃	1	1	yes	characteristic
759	#97	C₂²×D₃	1	1	yes	characteristic
760	C₄×C₈	—	3	2	no	—
761	C₄×C₈	—	3	2	no	—
762	C₄×C₈	—	3	2	no	—
763	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
764	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
765	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
766	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
767	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
768	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
769	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
770	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
771	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
772	C₂²×D₃	—	2	4	no	—
773	C₂²×D₃	—	2	4	no	—
774	C₂²×D₃	—	2	4	no	—
775	C₂²×D₃	—	4	2	no	—
776	C₂²×D₃	—	4	2	no	—
777	C₂²×D₃	—	4	2	no	—
778	C₂²×D₃	C₂³×C₄	1	2	yes	—
779	C₂²×D₃	C₂³×C₄	1	2	yes	—
780	C₂²×D₃	C₂³×C₄	1	2	yes	—
781	C₃×Q₈	—	4	1	no	—
782	C₃×D₄	—	2	2	no	—
783	C₃×D₄	—	2	2	no	—
784	C₃×D₄	—	4	1	no	—
785	C₂×C₃×C₄	—	2	2	no	—
786	C₂×C₃×C₄	—	2	2	no	—
787	C₂×C₃×C₄	—	2	2	no	—
788	C₂×C₃×C₄	—	2	2	no	—
789	C₂×C₃×C₄	—	2	1	no	—
790	C₂×C₃×C₄	—	2	1	no	—
791	C₂×C₃×C₄	—	2	1	no	—
792	C₂×C₃×C₄	—	2	1	no	—
793	C₂×C₃×C₄	—	2	1	no	—
794	C₂×C₃×C₄	—	2	1	no	—
795	C₂×C₃×C₄	—	4	1	no	—
796	C₂×C₃×C₄	—	4	1	no	—
797	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
798	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
799	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
800	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
801	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
802	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
803	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
804	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
805	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
806	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
807	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
808	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
809	#67	—	2	4	no	—
810	#67	—	2	4	no	—
811	#67	—	4	2	no	—
812	#67	—	4	2	no	—
813	#67	—	4	2	no	—
814	C₂×Dic₃	—	4	2	no	—
815	C₂×Dic₃	—	4	2	no	—
816	C₂×Dic₃	C₂³×C₄	1	2	yes	—
817	C₂×Dic₃	C₂³×C₄	1	2	yes	—
818	C₂×Dic₃	C₂³×C₄	1	2	yes	—
819	C₂×Dic₃	C₂³×C₄	1	2	yes	—
820	C₂×Dic₃	C₂³×C₄	1	2	yes	—
821	D₁₂	—	2	4	no	—
822	D₁₂	—	2	4	no	—
823	D₁₂	—	2	2	no	—
824	D₁₂	—	2	2	no	—
825	D₁₂	—	4	2	no	—
826	D₁₂	—	4	2	no	—
827	D₁₂	#131	1	4	yes	complemented
828	C₄×D₃	—	2	4	no	—
829	C₄×D₃	—	2	2	no	—
830	C₄×D₃	—	2	2	no	—
831	C₄×D₃	—	2	2	no	—
832	C₄×D₃	—	2	2	no	—
833	C₄×D₃	—	2	2	no	—
834	C₄×D₃	—	2	2	no	—
835	C₄×D₃	—	4	2	no	—
836	C₄×D₃	—	4	2	no	—
837	C₄×D₃	—	4	2	no	—
838	C₄×D₃	—	4	2	no	—
839	C₄×D₃	—	4	2	no	—
840	Dic₆	—	2	2	no	—
841	Dic₆	—	4	2	no	—
842	C₃×C₈	—	2	1	no	—
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	H(5,𝔽₂)	1	2	yes	—
850	C₃⋊C₈	—	2	2	no	—
851	C₃⋊C₈	—	2	2	no	—
852	C₃⋊C₈	—	2	2	no	—
853	C₃⋊C₈	—	2	2	no	—
854	C₂⁴	—	3	2	no	—
855	C₂⁴	—	3	2	no	—
856	#41	—	4	2	no	—
857	#41	—	6	4	no	—
858	#41	—	12	2	no	—
859	#41	—	12	2	no	—
860	C₂×Q₈	—	3	1	no	—
861	C₂×Q₈	—	3	2	no	—
862	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
863	C₂×D₄	—	3	2	no	—
864	C₂×D₄	—	3	2	no	—
865	C₂×D₄	—	3	2	no	—
866	C₂×D₄	—	3	2	no	—
867	C₂×D₄	—	3	2	no	—
868	C₂×D₄	—	3	1	no	—
869	C₂×D₄	—	3	2	no	—
870	C₂×D₄	—	3	2	no	—
871	C₂×D₄	—	3	1	no	—
872	C₂×D₄	—	3	1	no	—
873	C₂×D₄	—	3	2	no	—
874	C₂×D₄	—	3	2	no	—
875	C₂×D₄	—	6	4	no	—
876	C₂×D₄	—	6	4	no	—
877	C₂×D₄	—	12	4	no	—
878	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
879	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
880	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
881	C₂²×C₄	—	3	2	no	—
882	C₂²×C₄	—	3	2	no	—
883	C₂²×C₄	—	3	2	no	—
884	C₂²×C₄	—	3	2	no	—
885	C₂²×C₄	—	3	2	no	—
886	C₂²×C₄	—	3	2	no	—
887	C₂²×C₄	—	3	2	no	—
888	C₂²×C₄	—	3	2	no	—
889	C₂²×C₄	—	3	2	no	—
890	C₂²×C₄	—	3	2	no	—
891	C₂²×C₄	—	3	2	no	—
892	C₂²×C₄	—	12	2	no	—
893	C₂²×C₄	—	12	2	no	—
894	C₂²×C₄	—	12	2	no	—
895	C₂²×C₄	—	12	2	no	—
896	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
897	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
898	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
899	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
900	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
901	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
902	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
903	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
904	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
905	M₁₆	—	2	2	no	—
906	M₁₆	—	2	2	no	—
907	M₁₆	—	4	1	no	—
908	M₁₆	—	4	1	no	—
909	M₁₆	—	6	4	no	—
910	M₁₆	—	12	2	no	—
911	M₁₆	—	12	2	no	—
912	M₁₆	—	12	2	no	—
913	M₁₆	—	12	2	no	—
914	C₂×C₈	—	2	2	no	—
915	C₂×C₈	—	3	2	no	—
916	C₂×C₈	—	3	2	no	—
917	C₂×C₈	—	3	2	no	—
918	C₂×C₈	—	3	2	no	—
919	C₂×C₈	—	4	1	no	—
920	C₂×C₈	—	6	4	no	—
921	C₂×C₈	—	6	4	no	—
922	C₂×C₈	—	12	2	no	—
923	C₂×C₈	—	12	2	no	—
924	C₂×C₈	—	12	2	no	—
925	C₂×C₈	—	12	2	no	—
926	C₂×C₈	—	12	2	no	—
927	C₂×C₈	—	12	2	no	—
928	C₂×C₈	—	12	2	no	—
929	C₂×C₈	—	12	2	no	—
930	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
931	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
932	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
933	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
934	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
935	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
936	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
937	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
938	C₄⋊C₄	—	3	1	no	—
939	C₄⋊C₄	—	3	2	no	—
940	C₄⋊C₄	—	3	1	no	—
941	C₄⋊C₄	—	3	1	no	—
942	C₄⋊C₄	—	3	2	no	—
943	C₄⋊C₄	—	3	2	no	—
944	C₄⋊C₄	—	3	2	no	—
945	C₄⋊C₄	—	3	2	no	—
946	C₄⋊C₄	—	3	1	no	—
947	C₄⋊C₄	—	3	2	no	—
948	C₄⋊C₄	—	3	2	no	—
949	C₄⋊C₄	—	3	2	no	—
950	C₄⋊C₄	—	3	2	no	—
951	C₄⋊C₄	—	3	2	no	—
952	C₄⋊C₄	—	3	2	no	—
953	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
954	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
955	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
956	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
957	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
958	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
959	C₂²⋊C₄	—	3	2	no	—
960	C₂²⋊C₄	—	3	2	no	—
961	C₂²⋊C₄	—	3	2	no	—
962	C₂²⋊C₄	—	3	2	no	—
963	C₂²⋊C₄	—	3	2	no	—
964	C₂²⋊C₄	—	3	2	no	—
965	C₂²⋊C₄	—	3	2	no	—
966	C₂²⋊C₄	—	3	2	no	—
967	C₂²⋊C₄	—	3	2	no	—
968	C₂²⋊C₄	—	3	2	no	—
969	C₂²⋊C₄	—	3	2	no	—
970	C₂²⋊C₄	—	3	2	no	—
971	C₂²⋊C₄	—	3	2	no	—
972	C₂²⋊C₄	—	3	2	no	—
973	C₂²⋊C₄	—	3	2	no	—
974	C₂²⋊C₄	—	3	2	no	—
975	C₂²⋊C₄	—	3	2	no	—
976	C₂²⋊C₄	—	3	2	no	—
977	C₂²⋊C₄	—	3	2	no	—
978	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
979	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
980	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
981	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
982	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
983	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
984	C₄²	—	3	2	no	—
985	C₄²	—	3	2	no	—
986	C₄²	—	3	2	no	—
987	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
988	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
989	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
990	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
991	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
992	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
993	C₄²	C₂³×D₃	1	1	yes	characteristic
994	C₄²	C₂³×D₃	1	1	yes	characteristic
995	C₄²	C₂³×D₃	1	1	yes	characteristic
996	C₄²	C₂³×D₃	1	1	yes	characteristic
997	C₂²×C₃	—	2	1	no	—
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	#568	1	2	yes	—
1006	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1007	C₂×D₃	—	2	2	no	—
1008	C₂×D₃	—	2	2	no	—
1009	C₂×D₃	—	2	2	no	—
1010	C₂×D₃	—	2	2	no	—
1011	C₂×D₃	—	2	2	no	—
1012	C₂×D₃	—	2	2	no	—
1013	C₂×D₃	—	2	2	no	—
1014	C₂×D₃	—	2	2	no	—
1015	C₂×D₃	—	4	8	no	—
1016	C₂×D₃	—	8	4	no	—
1017	C₂×D₃	C₂×#131	1	4	yes	—
1018	C₃×C₄	—	2	1	no	—
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	1	no	—
1024	C₃×C₄	—	2	1	no	—
1025	C₃×C₄	—	2	1	no	—
1026	C₃×C₄	—	2	1	no	—
1027	C₃×C₄	—	2	1	no	—
1028	C₃×C₄	C₂×#131	1	2	yes	—
1029	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1030	C₃×C₄	#585	1	1	yes	characteristic
1031	Dic₃	—	2	2	no	—
1032	Dic₃	—	2	2	no	—
1033	Dic₃	—	2	2	no	—
1034	Dic₃	—	2	2	no	—
1035	Dic₃	—	2	2	no	—
1036	C₂³	—	3	2	no	—
1037	C₂³	—	3	2	no	—
1038	C₂³	—	3	2	no	—
1039	C₂³	—	6	4	no	—
1040	C₂³	—	6	4	no	—
1041	C₂³	—	6	4	no	—
1042	C₂³	—	12	2	no	—
1043	C₂³	—	12	2	no	—
1044	C₂³	—	12	2	no	—
1045	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1046	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1047	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1048	Q₈	—	4	1	no	—
1049	Q₈	—	6	2	no	—
1050	Q₈	—	12	2	no	—
1051	D₄	—	2	2	no	—
1052	D₄	—	2	2	no	—
1053	D₄	—	3	4	no	—
1054	D₄	—	4	1	no	—
1055	D₄	—	6	4	no	—
1056	D₄	—	6	4	no	—
1057	D₄	—	6	4	no	—
1058	D₄	—	6	4	no	—
1059	D₄	—	6	2	no	—
1060	D₄	—	6	2	no	—
1061	D₄	—	12	2	no	—
1062	D₄	—	12	2	no	—
1063	D₄	—	12	2	no	—
1064	D₄	—	12	2	no	—
1065	D₄	—	12	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	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	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	3	2	no	—
1077	C₂×C₄	—	3	2	no	—
1078	C₂×C₄	—	3	2	no	—
1079	C₂×C₄	—	3	2	no	—
1080	C₂×C₄	—	3	2	no	—
1081	C₂×C₄	—	4	1	no	—
1082	C₂×C₄	—	4	1	no	—
1083	C₂×C₄	—	6	4	no	—
1084	C₂×C₄	—	6	2	no	—
1085	C₂×C₄	—	6	2	no	—
1086	C₂×C₄	—	6	2	no	—
1087	C₂×C₄	—	6	2	no	—
1088	C₂×C₄	—	6	2	no	—
1089	C₂×C₄	—	6	2	no	—
1090	C₂×C₄	—	12	2	no	—
1091	C₂×C₄	—	12	2	no	—
1092	C₂×C₄	—	12	2	no	—
1093	C₂×C₄	—	12	2	no	—
1094	C₂×C₄	—	12	2	no	—
1095	C₂×C₄	—	12	2	no	—
1096	C₂×C₄	—	12	2	no	—
1097	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1098	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1099	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1100	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1101	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1102	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1103	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1104	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1105	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1106	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1107	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1108	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1109	C₈	—	2	1	no	—
1110	C₈	—	2	1	no	—
1111	C₈	—	2	1	no	—
1112	C₈	—	2	1	no	—
1113	C₈	—	2	1	no	—
1114	C₈	—	2	1	no	—
1115	C₈	—	2	1	no	—
1116	C₈	—	6	2	no	—
1117	C₈	—	6	2	no	—
1118	C₈	—	6	2	no	—
1119	C₈	—	6	2	no	—
1120	C₈	#1009	1	2	yes	—
1121	C₂×C₃	—	2	2	no	—
1122	C₂×C₃	—	4	1	no	—
1123	C₂×C₃	—	4	1	no	—
1124	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1125	C₂×C₃	C₂²×#131	1	1	yes	characteristic
1126	C₂×C₃	C₂×#568	1	1	yes	characteristic
1127	D₃	—	2	4	no	—
1128	D₃	—	4	2	no	—
1129	D₃	—	4	2	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	1	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	1	no	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	3	4	no	—
1139	C₂²	—	6	2	no	—
1140	C₂²	—	6	2	no	—
1141	C₂²	—	6	2	no	—
1142	C₂²	—	6	2	no	—
1143	C₂²	—	6	2	no	—
1144	C₂²	—	6	2	no	—
1145	C₂²	—	6	2	no	—
1146	C₂²	—	6	2	no	—
1147	C₂²	—	12	8	no	—
1148	C₂²	—	24	4	no	—
1149	C₂²	#5745	1	2	yes	—
1150	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1151	C₄	—	2	1	no	—
1152	C₄	—	2	1	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	2	1	no	—
1155	C₄	—	2	1	no	—
1156	C₄	—	2	1	no	—
1157	C₄	—	2	1	no	—
1158	C₄	—	2	1	no	—
1159	C₄	—	2	1	no	—
1160	C₄	—	2	1	no	—
1161	C₄	—	6	2	no	—
1162	C₄	—	6	2	no	—
1163	C₄	—	6	2	no	—
1164	C₄	—	6	2	no	—
1165	C₄	—	6	2	no	—
1166	C₄	D₃×#131	1	2	yes	—
1167	C₄	C₂×#1009	1	1	yes	characteristic
1168	C₄	#5964	1	1	yes	characteristic
1169	C₃	#60311	1	1	yes	characteristic, complemented, Sylow
1170	C₂	—	2	2	no	—
1171	C₂	—	4	1	no	—
1172	C₂	—	4	1	no	—
1173	C₂	—	6	4	no	—
1174	C₂	—	12	2	no	—
1175	C₂	—	12	2	no	—
1176	C₂	C₄×#1009	1	1	yes	characteristic
1177	C₂	C₂×#5745	1	1	yes	characteristic
1178	C₂	C₂×D₃×#131	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2965	C₂
prime radical	#85843	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2965	D₃
hypocenter	C₃	#60311
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2965

Complements

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

N	H ≅ G/N	type
2. C₃×#2965	C₂	semidirect
3. #82522	C₂	semidirect
4. #79946	C₂	semidirect
5. #79941	C₂	semidirect
6. #79544	C₂	semidirect
7. #79539	C₂	semidirect
8. #79489	C₂	semidirect
9. #79486	C₂	semidirect
10. #79478	C₂	semidirect
11. D₃×#435	C₂	semidirect
12. #79296	C₂	semidirect
13. #79295	C₂	semidirect
14. #79291	C₂	semidirect
15. #79290	C₂	semidirect
16. #79287	C₂	semidirect
17. #79286	C₂	semidirect
18. #78524	C₂	semidirect
19. #78522	C₂	semidirect
20. M₁₆×D₁₂	C₂	semidirect
21. #78511	C₂	semidirect
22. C₂×C₈×D₁₂	C₂	semidirect
23. #78448	C₂	semidirect
27. C₂×#907	C₂²	semidirect
28. C₂×D₃×M₁₆	C₂²	semidirect
29. C₂²×D₃×C₈	C₂²	semidirect
51. C₃×#446	C₂²	semidirect
52. C₃×#446	C₂²	semidirect
53. C₃×#436	C₂²	semidirect
54. C₃×#436	C₂²	semidirect
57. C₃×#435	C₂²	semidirect
58. C₃×#435	C₂²	semidirect
59. C₃×#431	C₂²	semidirect
60. C₃×#431	C₂²	semidirect
61. C₃×#431	C₂²	semidirect
62. C₃×C₄×M₁₆	C₂²	semidirect
63. C₃×C₄×M₁₆	C₂²	semidirect
64. C₂×C₃×C₄×C₈	C₂²	semidirect
65. #5129	C₂²	semidirect
66. #5128	C₂²	semidirect
67. #5127	C₂²	semidirect
68. #5127	C₂²	semidirect
69. #5127	C₂²	semidirect
70. #5126	C₂²	semidirect
71. #5111	C₂²	semidirect
72. C₈×#67	C₂²	semidirect
73. C₂×(C₂×D₃)⋊C₈	C₂²	semidirect
74. #5024	C₂²	semidirect
76. #5011	C₂²	semidirect
77. D₄×C₃⋊C₈	C₂²	semidirect
78. #4926	C₂²	semidirect
79. #4926	C₂²	semidirect
80. #4925	C₂²	semidirect
81. #4924	C₂²	semidirect
82. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
83. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
84. #4840	C₂²	semidirect
85. #4840	C₂²	semidirect
86. #4839	C₂²	semidirect
87. #4839	C₂²	semidirect
88. #4836	C₂²	semidirect
89. #4836	C₂²	semidirect
90. #4836	C₂²	semidirect
91. #4836	C₂²	semidirect
92. #4834	C₂²	semidirect
93. #4834	C₂²	semidirect
94. #4833	C₂²	semidirect
95. D₃×C₄⋊C₈	C₂²	semidirect
96. #4730	C₂²	semidirect
97. #4729	C₂²	semidirect
98. #4728	C₂²	semidirect
99. #4727	C₂²	semidirect
100. #4727	C₂²	semidirect
101. #4726	C₂²	semidirect
102. #67⋊C₈	C₂²	semidirect
103. #67⋊C₈	C₂²	semidirect
104. #67⋊C₈	C₂²	semidirect
105. D₃×C₂²⋊C₈	C₂²	semidirect
106. D₃×C₂²⋊C₈	C₂²	semidirect
107. D₃×C₂²⋊C₈	C₂²	semidirect
108. #4709	C₂²	semidirect
109. #4708	C₂²	semidirect
110. #4706	C₂²	semidirect
111. #4706	C₂²	semidirect
112. #4706	C₂²	semidirect
113. #4706	C₂²	semidirect
114. #4705	C₂²	semidirect
115. D₃×#97	C₂²	semidirect
116. #4690	C₂²	semidirect
117. #4689	C₂²	semidirect
118. #4688	C₂²	semidirect
119. #4688	C₂²	semidirect
120. #4688	C₂²	semidirect
121. #4688	C₂²	semidirect
126. C₈×D₁₂	C₂²	semidirect
127. C₈×D₁₂	C₂²	semidirect
128. C₈×D₁₂	C₂²	semidirect
129. C₈×D₁₂	C₂²	semidirect
130. C₈×D₁₂	C₂²	semidirect
131. C₈×D₁₂	C₂²	semidirect
132. #4679	C₂²	semidirect
133. #4679	C₂²	semidirect
134. C₈×Dic₆	C₂²	semidirect
135. C₈×Dic₆	C₂²	semidirect
152. #2965	D₃	semidirect
366. #446	C₂×D₃	semidirect
367. #446	C₂×D₃	semidirect
376. #436	C₂×D₃	semidirect
377. #436	C₂×D₃	semidirect
396. #435	C₂×D₃	semidirect
397. #435	C₂×D₃	semidirect
424. #431	C₂×D₃	semidirect
425. #431	C₂×D₃	semidirect
426. #431	C₂×D₃	semidirect
444. C₄×M₁₆	C₂×D₃	semidirect
445. C₄×M₁₆	C₂×D₃	semidirect
447. C₂×C₄×C₈	C₂×D₃	semidirect
827. D₁₂	#131	semidirect
1169. C₃	#60311	semidirect

Maximal subgroups

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

subgroup	index
#85843	2
C₃×#2965	2
#82522	2
#79946	2
#79941	2
#79544	2
#79539	2
#79489	2
#79486	2
#79478	2
D₃×#435	2
#79296	2
#79295	2
#79291	2
#79290	2
#79287	2
#79286	2
#78524	2
#78522	2
M₁₆×D₁₂	2
#78511	2
C₂×C₈×D₁₂	2
#78448	2
#60311	3