Subgroups — #36312438

Order 21248.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#24921512	C₂	1	4	yes	maximal, complemented
2	#24921495	C₂	1	4	yes	maximal, complemented
3	#24921403	C₂	1	8	yes	maximal, complemented
4	#24921315	C₂	1	2	yes	maximal, complemented
5	#24921302	C₂	1	4	yes	maximal, complemented
6	#24921266	C₂	1	1	yes	maximal, characteristic, complemented
7	#24921227	C₂	1	1	yes	maximal, characteristic, complemented
8	#24921172	C₂	1	2	yes	maximal, complemented
9	#24921152	C₂	1	4	yes	maximal, complemented
10	#24921098	C₂	1	2	yes	maximal, complemented
11	#24921067	C₂	1	8	yes	maximal, complemented
12	#24921021	C₂	1	4	yes	maximal, complemented
13	D₄×#13050590	C₂	1	4	yes	maximal, complemented
14	#24920885	C₂	1	2	yes	maximal, complemented
15	#24920872	C₂	1	4	yes	maximal, complemented
16	#24920759	C₂	1	2	yes	maximal, complemented
17	C₂×#19128212	C₂	1	4	yes	maximal, complemented
18	C₄×#14581837	C₂	1	2	yes	maximal, complemented
19	C₂²×C₄×D₄×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#14581837	C₂²	1	2	yes	—
21	C₂²×#13050590	C₂²	1	4	yes	complemented
22	#19128434	C₂²	1	8	yes	complemented
23	#19128421	C₂²	1	4	yes	complemented
24	#19128416	C₂²	1	4	yes	complemented
25	#19128410	C₂²	1	8	yes	complemented
26	#19128408	C₂²	1	4	yes	complemented
27	#19128406	C₂²	1	8	yes	complemented
28	#19128401	C₂²	1	8	yes	complemented
29	#19128400	C₂²	1	16	yes	complemented
30	#19128399	C₂²	1	8	yes	complemented
31	#19128397	C₂²	1	8	yes	complemented
32	#19128391	C₂²	1	8	yes	complemented
33	#19128386	C₂²	1	8	yes	complemented
34	#19128380	C₂²	1	16	yes	complemented
35	#19128377	C₂²	1	16	yes	complemented
36	#19128377	C₂²	1	16	yes	complemented
37	#19128372	C₂²	1	4	yes	complemented
38	D₄×Dic₁₆₆	C₂²	1	4	yes	complemented
39	#19128360	C₂²	1	8	yes	complemented
40	#19128356	C₂²	1	4	yes	complemented
41	#19128355	C₂²	1	4	yes	complemented
42	#19128352	C₂²	1	8	yes	complemented
43	#19128347	C₂²	1	8	yes	complemented
44	#19128346	C₂²	1	8	yes	complemented
45	#19128345	C₂²	1	8	yes	complemented
46	#19128345	C₂²	1	8	yes	complemented
47	#19128341	C₂²	1	16	yes	complemented
48	#19128341	C₂²	1	16	yes	complemented
49	D₄×D₃₃₂	C₂²	1	4	yes	complemented
50	D₄×C₂²⋊D₈₃	C₂²	1	8	yes	complemented
51	D₄×C₂²⋊D₈₃	C₂²	1	8	yes	complemented
52	#19128332	C₂²	1	2	yes	complemented
53	#19128327	C₂²	1	4	yes	complemented
54	#19128316	C₂²	1	8	yes	complemented
55	#19128302	C₂²	1	8	yes	complemented
56	#19128298	C₂²	1	8	yes	complemented
57	#19128293	C₂²	1	16	yes	complemented
58	#19128289	C₂²	1	8	yes	complemented
59	#19128289	C₂²	1	8	yes	complemented
60	#19128284	C₂²	1	16	yes	complemented
61	#19128282	C₂²	1	2	yes	complemented
62	#19128268	C₂²	1	4	yes	complemented
63	#19128263	C₂²	1	4	yes	complemented
64	#19128260	C₂²	1	8	yes	complemented
65	#19128258	C₂²	1	2	yes	complemented
66	#19128258	C₂²	1	2	yes	complemented
67	#19128258	C₂²	1	2	yes	complemented
68	#19128251	C₂²	1	2	yes	complemented
69	#19128251	C₂²	1	2	yes	complemented
70	#19128251	C₂²	1	2	yes	complemented
71	#19128248	C₂²	1	8	yes	complemented
72	#19128235	C₂²	1	4	yes	complemented
73	#19128235	C₂²	1	4	yes	complemented
74	#19128235	C₂²	1	4	yes	complemented
75	#19128235	C₂²	1	4	yes	complemented
76	#19128235	C₂²	1	4	yes	complemented
77	#19128235	C₂²	1	4	yes	complemented
78	#19128233	C₂²	1	8	yes	complemented
79	#19128231	C₂²	1	16	yes	complemented
80	#19128212	C₂²	1	4	yes	complemented
81	#19128212	C₂²	1	4	yes	complemented
82	#19128212	C₂²	1	8	yes	complemented
83	#19128212	C₂²	1	4	yes	complemented
84	#19128212	C₂²	1	8	yes	complemented
85	#19128212	C₂²	1	8	yes	complemented
86	#19128212	C₂²	1	8	yes	complemented
87	#19128212	C₂²	1	8	yes	complemented
88	#19128212	C₂²	1	8	yes	complemented
89	#19128212	C₂²	1	8	yes	complemented
90	#19128210	C₂²	1	16	yes	complemented
91	C₂×#14581775	C₂²	1	8	yes	complemented
92	C₂×#14581771	C₂²	1	4	yes	complemented
93	C₂×#14581771	C₂²	1	4	yes	complemented
94	C₂×#14581766	C₂²	1	4	yes	complemented
95	C₂×#14581766	C₂²	1	4	yes	complemented
96	C₂×#14581761	C₂²	1	8	yes	complemented
97	#19128182	C₂²	1	4	yes	complemented
98	#19128180	C₂²	1	8	yes	complemented
99	#19128176	C₂²	1	2	yes	—
100	#19128174	C₂²	1	8	yes	complemented
101	#19128173	C₂²	1	8	yes	complemented
102	C₄×#13050590	C₂²	1	4	yes	complemented
103	C₄×#13050590	C₂²	1	4	yes	complemented
104	C₄×#13050590	C₂²	1	4	yes	complemented
105	C₄×#13050589	C₂²	1	8	yes	complemented
106	C₂×C₄×C₂²⋊D₈₃	C₂²	1	8	yes	complemented
107	C₂×C₄×C₂²⋊D₈₃	C₂²	1	8	yes	complemented
108	C₄×D₄×D₈₃	C₂²	1	8	yes	complemented
109	C₂×#14581751	C₂²	1	4	yes	complemented
110	C₂³×D₄×C₈₃	C₂²	1	1	yes	characteristic
111	C₂⁴×C₄×C₈₃	C₂²	1	2	yes	complemented
112	C₂×C₄×D₄×C₈₃	C₂²	1	1	yes	characteristic
113	C₂×C₄×D₄×C₈₃	C₂²	1	1	yes	characteristic
114	C₂×C₄×D₄×C₈₃	C₂²	1	2	yes	complemented
115	C₂×C₄×D₄×C₈₃	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄×D₄×C₈₃	C₂²	1	4	yes	complemented
117	C₂×C₄×D₄×C₈₃	C₂²	1	4	yes	complemented
118	C₂×C₄×D₄×C₈₃	C₂²	1	4	yes	complemented
119	C₂×C₄×D₄×C₈₃	C₂²	1	2	yes	complemented
120	C₂×C₄×D₄×C₈₃	C₂²	1	1	yes	characteristic, complemented
121	C₂×C₄×D₄×C₈₃	C₂²	1	4	yes	complemented
122	C₂²×C₄⋊C₄×C₈₃	C₂²	1	1	yes	characteristic, complemented
123	C₂²×C₂²⋊C₄×C₈₃	C₂²	1	2	yes	complemented
124	C₂²×C₄²×C₈₃	C₂²	1	1	yes	characteristic, complemented
125	#14581837	—	2	16	no	—
126	C₂×#13050590	—	4	16	no	—
127	C₂×#13050590	C₂³	1	4	yes	—
128	C₂×#13050590	C₂³	1	4	yes	—
129	C₂×#13050590	C₂³	1	4	yes	—
130	C₂×#13050590	C₂³	1	8	yes	—
131	C₂×#13050590	C₂³	1	8	yes	complemented
132	C₂×#13050590	C₂³	1	8	yes	complemented
133	C₂×#13050589	C₂³	1	8	yes	—
134	C₂²×Dic₁₆₆	C₂³	1	4	yes	complemented
135	C₂²×D₃₃₂	C₂³	1	4	yes	complemented
136	C₂²×C₂²⋊D₈₃	C₂³	1	8	yes	—
137	C₂²×C₂²⋊D₈₃	C₂³	1	8	yes	—
138	C₂²×C₂²⋊D₈₃	C₂³	1	8	yes	—
139	C₂×D₄×D₈₃	C₂³	1	8	yes	—
140	C₂²×C₄×D₈₃	C₂³	1	8	yes	complemented
141	#14581792	C₂³	1	2	yes	complemented
142	#14581792	C₂³	1	2	yes	complemented
143	#14581792	C₂³	1	2	yes	complemented
144	#14581791	C₂³	1	8	yes	complemented
145	#14581789	C₂³	1	2	yes	complemented
146	#14581788	C₂³	1	8	yes	—
147	#14581787	C₂³	1	16	yes	complemented
148	#14581786	C₂³	1	8	yes	complemented
149	#14581786	C₂³	1	8	yes	complemented
150	#14581785	C₂³	1	16	yes	complemented
151	#14581785	C₂³	1	16	yes	complemented
152	#14581784	C₂³	1	4	yes	complemented
153	#14581784	C₂³	1	4	yes	complemented
154	#14581784	C₂³	1	4	yes	complemented
155	#14581783	C₂³	1	8	yes	complemented
156	#14581782	C₂³	1	16	yes	complemented
157	#14581780	C₂³	1	4	yes	complemented
158	#14581780	C₂³	1	4	yes	complemented
159	#14581780	C₂³	1	4	yes	complemented
160	#14581779	C₂³	1	8	yes	—
161	#14581778	C₂³	1	16	yes	complemented
162	#14581778	C₂³	1	16	yes	complemented
163	#14581777	C₂³	1	16	yes	complemented
164	#14581776	C₂³	1	16	yes	complemented
165	#14581775	C₂³	1	8	yes	—
166	#14581775	C₂³	1	16	yes	—
167	#14581775	C₂³	1	8	yes	—
168	#14581775	C₂³	1	8	yes	—
169	#14581775	C₂³	1	16	yes	complemented
170	#14581775	C₂³	1	16	yes	complemented
171	#14581774	C₂³	1	16	yes	complemented
172	#14581774	C₂³	1	16	yes	complemented
173	#14581773	C₂³	1	16	yes	—
174	#14581772	C₂³	1	8	yes	complemented
175	#14581771	C₂³	1	4	yes	—
176	#14581771	C₂³	1	8	yes	—
177	#14581771	C₂³	1	4	yes	—
178	#14581771	C₂³	1	4	yes	—
179	#14581771	C₂³	1	4	yes	—
180	#14581771	C₂³	1	8	yes	—
181	#14581771	C₂³	1	4	yes	—
182	#14581771	C₂³	1	4	yes	—
183	#14581771	C₂³	1	8	yes	complemented
184	#14581771	C₂³	1	8	yes	complemented
185	#14581771	C₂³	1	8	yes	complemented
186	#14581771	C₂³	1	8	yes	complemented
187	#14581770	C₂³	1	16	yes	complemented
188	#14581769	C₂³	1	16	yes	complemented
189	#14581769	C₂³	1	16	yes	complemented
190	#14581767	C₂³	1	8	yes	complemented
191	#14581766	C₂³	1	4	yes	—
192	#14581766	C₂³	1	4	yes	—
193	#14581766	C₂³	1	4	yes	—
194	#14581766	C₂³	1	8	yes	—
195	#14581766	C₂³	1	4	yes	—
196	#14581766	C₂³	1	4	yes	—
197	#14581766	C₂³	1	8	yes	—
198	#14581766	C₂³	1	4	yes	—
199	#14581766	C₂³	1	8	yes	complemented
200	#14581766	C₂³	1	8	yes	complemented
201	#14581766	C₂³	1	8	yes	complemented
202	#14581766	C₂³	1	8	yes	complemented
203	#14581765	C₂³	1	16	yes	complemented
204	#14581765	C₂³	1	16	yes	complemented
205	#14581764	C₂³	1	16	yes	—
206	#14581764	C₂³	1	16	yes	—
207	#14581763	C₂³	1	8	yes	—
208	#14581763	C₂³	1	8	yes	—
209	#14581762	C₂³	1	16	yes	complemented
210	#14581761	C₂³	1	16	yes	—
211	#14581761	C₂³	1	16	yes	—
212	#14581761	C₂³	1	8	yes	—
213	#14581761	C₂³	1	16	yes	—
214	#14581760	C₂³	1	16	yes	—
215	C₄×Dic₁₆₆	C₂³	1	4	yes	complemented
216	C₄×Dic₁₆₆	C₂³	1	4	yes	complemented
217	C₄×Dic₁₆₆	C₂³	1	4	yes	complemented
218	C₄×Dic₁₆₆	C₂³	1	4	yes	complemented
219	C₄×Dic₁₆₆	C₂³	1	4	yes	complemented
220	C₄×Dic₁₆₆	C₂³	1	4	yes	complemented
221	#14581757	C₂³	1	8	yes	complemented
222	C₄×D₃₃₂	C₂³	1	4	yes	complemented
223	C₄×D₃₃₂	C₂³	1	4	yes	complemented
224	C₄×D₃₃₂	C₂³	1	4	yes	complemented
225	C₄×D₃₃₂	C₂³	1	4	yes	complemented
226	C₄×D₃₃₂	C₂³	1	4	yes	complemented
227	C₄×D₃₃₂	C₂³	1	4	yes	complemented
228	D₄×Dic₈₃	C₂³	1	8	yes	—
229	D₄×Dic₈₃	C₂³	1	8	yes	—
230	#14581754	C₂³	1	8	yes	complemented
231	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	—
232	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	—
233	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	—
234	C₄×C₂²⋊D₈₃	C₂³	1	16	yes	—
235	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	—
236	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	—
237	C₄×C₂²⋊D₈₃	C₂³	1	16	yes	—
238	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	—
239	C₄×C₂²⋊D₈₃	C₂³	1	16	yes	complemented
240	C₄×C₂²⋊D₈₃	C₂³	1	16	yes	complemented
241	C₄×C₂²⋊D₈₃	C₂³	1	16	yes	complemented
242	C₄×C₂²⋊D₈₃	C₂³	1	16	yes	complemented
243	(C₂²⋊D₈₃)⋊C₄	C₂³	1	16	yes	complemented
244	(C₂²⋊D₈₃)⋊C₄	C₂³	1	16	yes	complemented
245	#14581751	C₂³	1	4	yes	—
246	#14581751	C₂³	1	4	yes	—
247	#14581751	C₂³	1	8	yes	—
248	#14581751	C₂³	1	4	yes	—
249	#14581751	C₂³	1	8	yes	complemented
250	#14581751	C₂³	1	8	yes	complemented
251	#14581750	C₂³	1	8	yes	complemented
252	#14581749	C₂³	1	8	yes	complemented
253	#14581749	C₂³	1	8	yes	complemented
254	#14581749	C₂³	1	8	yes	complemented
255	#14581748	C₂³	1	16	yes	complemented
256	C₂×C₄⋊Dic₈₃	C₂³	1	4	yes	complemented
257	C₂×C₄⋊Dic₈₃	C₂³	1	4	yes	complemented
258	C₂×Dic₈₃⋊C₄	C₂³	1	8	yes	complemented
259	C₂×Dic₈₃⋊C₄	C₂³	1	8	yes	complemented
260	C₄⋊C₄×D₈₃	C₂³	1	8	yes	complemented
261	C₂×C₂²⋊Dic₈₃	C₂³	1	8	yes	—
262	C₂×C₂²⋊Dic₈₃	C₂³	1	8	yes	—
263	C₂×C₂²⋊Dic₈₃	C₂³	1	8	yes	—
264	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	8	yes	complemented
265	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	8	yes	complemented
266	C₂²⋊C₄×D₈₃	C₂³	1	16	yes	complemented
267	C₂×C₄×Dic₈₃	C₂³	1	8	yes	complemented
268	C₄²×D₈₃	C₂³	1	8	yes	complemented
269	C₂⁵×C₈₃	C₂³	1	2	yes	—
270	C₂²×D₄×C₈₃	—	2	8	no	—
271	C₂²×D₄×C₈₃	C₂³	1	4	yes	—
272	C₂²×D₄×C₈₃	C₂³	1	4	yes	—
273	C₂²×D₄×C₈₃	C₂³	1	2	yes	—
274	C₂²×D₄×C₈₃	C₂³	1	1	yes	characteristic
275	C₂²×D₄×C₈₃	C₂³	1	1	yes	characteristic
276	C₂³×C₄×C₈₃	—	4	8	no	—
277	C₂³×C₄×C₈₃	C₂³	1	1	yes	characteristic
278	C₂³×C₄×C₈₃	C₂³	1	1	yes	characteristic
279	C₂³×C₄×C₈₃	C₂³	1	4	yes	—
280	C₂³×C₄×C₈₃	C₂³	1	1	yes	characteristic
281	C₂³×C₄×C₈₃	C₂³	1	2	yes	—
282	C₂³×C₄×C₈₃	C₂³	1	2	yes	—
283	C₂³×C₄×C₈₃	C₂³	1	2	yes	—
284	C₂³×C₄×C₈₃	C₂³	1	4	yes	—
285	C₂³×C₄×C₈₃	C₂³	1	4	yes	—
286	C₂³×C₄×C₈₃	C₂³	1	4	yes	—
287	C₂³×C₄×C₈₃	C₂³	1	2	yes	—
288	C₂³×C₄×C₈₃	C₂³	1	2	yes	—
289	C₄×D₄×C₈₃	C₂³	1	4	yes	—
290	C₄×D₄×C₈₃	C₂³	1	4	yes	—
291	C₄×D₄×C₈₃	C₂³	1	8	yes	—
292	C₄×D₄×C₈₃	C₂³	1	4	yes	—
293	C₄×D₄×C₈₃	C₂³	1	4	yes	—
294	C₄×D₄×C₈₃	C₂³	1	4	yes	—
295	C₄×D₄×C₈₃	C₂³	1	8	yes	—
296	C₄×D₄×C₈₃	C₂³	1	4	yes	—
297	C₄×D₄×C₈₃	C₂³	1	8	yes	—
298	C₄×D₄×C₈₃	C₂³	1	4	yes	—
299	C₄×D₄×C₈₃	C₂³	1	8	yes	—
300	C₄×D₄×C₈₃	C₂³	1	4	yes	—
301	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₄×C₈₃	C₂³	1	4	yes	—
303	C₂×C₄⋊C₄×C₈₃	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊C₄×C₈₃	C₂³	1	4	yes	—
305	C₂×C₄⋊C₄×C₈₃	C₂³	1	2	yes	—
306	C₂×C₂²⋊C₄×C₈₃	C₂³	1	2	yes	—
307	C₂×C₂²⋊C₄×C₈₃	C₂³	1	8	yes	—
308	C₂×C₂²⋊C₄×C₈₃	C₂³	1	8	yes	—
309	C₂×C₂²⋊C₄×C₈₃	C₂³	1	2	yes	—
310	C₂×C₂²⋊C₄×C₈₃	C₂³	1	2	yes	—
311	C₂×C₂²⋊C₄×C₈₃	C₂³	1	2	yes	—
312	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
315	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
316	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
318	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
320	C₂³×D₈₃	C₂⁴	1	8	yes	—
321	#13050590	—	2	16	no	—
322	#13050590	—	2	16	no	—
323	#13050590	—	4	16	no	—
324	#13050590	—	4	16	no	—
325	#13050590	—	4	16	no	—
326	#13050590	—	4	8	no	—
327	#13050589	—	2	32	no	—
328	C₂×Dic₁₆₆	—	4	8	no	—
329	C₂×Dic₁₆₆	C₂⁴	1	4	yes	—
330	C₂×Dic₁₆₆	C₂⁴	1	4	yes	—
331	C₂×Dic₁₆₆	C₂⁴	1	4	yes	—
332	C₂×Dic₁₆₆	C₂⁴	1	8	yes	—
333	C₂×D₃₃₂	—	4	8	no	—
334	C₂×D₃₃₂	C₂⁴	1	4	yes	—
335	C₂×D₃₃₂	C₂⁴	1	4	yes	—
336	C₂×D₃₃₂	C₂⁴	1	4	yes	—
337	C₂×D₃₃₂	C₂⁴	1	8	yes	—
338	C₂×C₂²⋊D₈₃	—	2	32	no	—
339	C₂×C₂²⋊D₈₃	—	4	16	no	—
340	C₂×C₂²⋊D₈₃	—	4	16	no	—
341	C₂×C₂²⋊D₈₃	C₂⁴	1	8	yes	—
342	C₂×C₂²⋊D₈₃	C₂⁴	1	8	yes	—
343	C₂×C₂²⋊D₈₃	C₂⁴	1	8	yes	—
344	C₂×C₂²⋊D₈₃	C₂⁴	1	16	yes	—
345	C₂×C₂²⋊D₈₃	C₂⁴	1	16	yes	—
346	C₂×C₂²⋊D₈₃	C₂⁴	1	16	yes	—
347	D₄×D₈₃	—	2	32	no	—
348	C₂²×Dic₈₃	C₂⁴	1	8	yes	—
349	C₂²×Dic₈₃	C₂⁴	1	8	yes	—
350	C₂²×Dic₈₃	C₂⁴	1	8	yes	—
351	C₂×C₄×D₈₃	—	4	16	no	—
352	C₂×C₄×D₈₃	C₂⁴	1	8	yes	—
353	C₂×C₄×D₈₃	C₂⁴	1	8	yes	—
354	C₂×C₄×D₈₃	C₂⁴	1	8	yes	—
355	C₂×C₄×D₈₃	C₂⁴	1	16	yes	—
356	C₄⋊Dic₈₃	C₂⁴	1	4	yes	—
357	C₄⋊Dic₈₃	C₂⁴	1	4	yes	—
358	C₄⋊Dic₈₃	C₂⁴	1	4	yes	—
359	C₄⋊Dic₈₃	C₂⁴	1	4	yes	—
360	C₄⋊Dic₈₃	C₂⁴	1	8	yes	—
361	C₄⋊Dic₈₃	C₂⁴	1	8	yes	—
362	C₄⋊Dic₈₃	C₂⁴	1	4	yes	—
363	C₄⋊Dic₈₃	C₂⁴	1	4	yes	—
364	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
365	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
366	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
367	Dic₈₃⋊C₄	C₂⁴	1	16	yes	—
368	Dic₈₃⋊C₄	C₂⁴	1	16	yes	—
369	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
370	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
371	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
372	C₂²⋊Dic₈₃	C₂⁴	1	16	yes	—
373	C₂²⋊Dic₈₃	C₂⁴	1	8	yes	—
374	C₂²⋊Dic₈₃	C₂⁴	1	8	yes	—
375	C₂²⋊Dic₈₃	C₂⁴	1	8	yes	—
376	C₂²⋊Dic₈₃	C₂⁴	1	16	yes	—
377	C₂²⋊Dic₈₃	C₂⁴	1	16	yes	—
378	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
379	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
380	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
381	(C₂×D₈₃)⋊C₄	C₂⁴	1	16	yes	—
382	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
383	(C₂×D₈₃)⋊C₄	C₂⁴	1	16	yes	—
384	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
385	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
386	C₄×Dic₈₃	C₂⁴	1	8	yes	—
387	C₄×Dic₈₃	C₂⁴	1	16	yes	—
388	C₄×Dic₈₃	C₂⁴	1	8	yes	—
389	C₄×Dic₈₃	C₂⁴	1	8	yes	—
390	C₂⁴×C₈₃	—	2	8	no	—
391	C₂⁴×C₈₃	—	4	4	no	—
392	C₂⁴×C₈₃	—	4	4	no	—
393	C₂⁴×C₈₃	C₂⁴	1	1	yes	characteristic
394	C₂⁴×C₈₃	C₂⁴	1	4	yes	—
395	C₂⁴×C₈₃	C₂⁴	1	4	yes	—
396	C₂⁴×C₈₃	C₂⁴	1	2	yes	—
397	C₂⁴×C₈₃	C₂⁴	1	2	yes	—
398	C₂×D₄×C₈₃	—	2	8	no	—
399	C₂×D₄×C₈₃	—	2	16	no	—
400	C₂×D₄×C₈₃	—	2	16	no	—
401	C₂×D₄×C₈₃	—	2	4	no	—
402	C₂×D₄×C₈₃	#41	1	8	yes	complemented
403	C₂×D₄×C₈₃	C₂⁴	1	8	yes	—
404	C₂×D₄×C₈₃	C₂⁴	1	4	yes	—
405	C₂×D₄×C₈₃	C₂⁴	1	4	yes	—
406	C₂²×C₄×C₈₃	—	2	4	no	—
407	C₂²×C₄×C₈₃	—	2	16	no	—
408	C₂²×C₄×C₈₃	—	2	4	no	—
409	C₂²×C₄×C₈₃	—	4	4	no	—
410	C₂²×C₄×C₈₃	—	4	8	no	—
411	C₂²×C₄×C₈₃	—	4	4	no	—
412	C₂²×C₄×C₈₃	—	4	8	no	—
413	C₂²×C₄×C₈₃	—	4	4	no	—
414	C₂²×C₄×C₈₃	—	4	4	no	—
415	C₂²×C₄×C₈₃	—	4	8	no	—
416	C₂²×C₄×C₈₃	—	4	4	no	—
417	C₂²×C₄×C₈₃	—	4	2	no	—
418	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
421	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
422	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
423	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
424	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
427	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
428	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
429	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
430	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
434	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
435	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
436	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
437	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
438	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
439	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
441	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
442	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
444	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
445	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
446	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
447	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
448	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
449	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
450	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
451	C₄²×C₈₃	C₂⁴	1	2	yes	—
452	C₄²×C₈₃	C₂⁴	1	2	yes	—
453	C₄²×C₈₃	C₂⁴	1	2	yes	—
454	C₄²×C₈₃	C₂⁴	1	2	yes	—
455	C₄²×C₈₃	C₂⁴	1	2	yes	—
456	C₄²×C₈₃	C₂⁴	1	2	yes	—
457	C₄²×C₈₃	C₂⁴	1	2	yes	—
458	C₄²×C₈₃	C₂⁴	1	2	yes	—
459	C₂³×C₈₃	—	2	2	no	—
460	C₂³×C₈₃	—	2	2	no	—
461	C₂³×C₈₃	—	2	2	no	—
462	C₂³×C₈₃	—	2	8	no	—
463	C₂³×C₈₃	—	2	8	no	—
464	C₂³×C₈₃	—	2	4	no	—
465	C₂³×C₈₃	—	2	8	no	—
466	C₂³×C₈₃	—	2	8	no	—
467	C₂³×C₈₃	—	4	2	no	—
468	C₂³×C₈₃	—	4	4	no	—
469	C₂³×C₈₃	—	4	2	no	—
470	C₂³×C₈₃	—	4	2	no	—
471	C₂³×C₈₃	—	4	4	no	—
472	C₂³×C₈₃	—	4	2	no	—
473	C₂³×C₈₃	—	4	32	no	—
474	C₂³×C₈₃	C₂×#41	1	8	yes	complemented
475	C₂³×C₈₃	C₂⁵	1	4	yes	—
476	C₂³×C₈₃	C₂⁵	1	4	yes	—
477	C₂³×C₈₃	C₂⁵	1	1	yes	characteristic
478	C₂³×C₈₃	C₂⁵	1	1	yes	characteristic
479	C₂³×C₈₃	C₂⁵	1	1	yes	characteristic
480	C₂²×D₈₃	—	2	16	no	—
481	C₂²×D₈₃	—	4	8	no	—
482	C₂²×D₈₃	—	4	8	no	—
483	C₂²×D₈₃	C₂⁵	1	8	yes	—
484	D₄×C₈₃	—	2	16	no	—
485	D₄×C₈₃	—	2	8	no	—
486	D₄×C₈₃	C₂×#41	1	16	yes	complemented
487	C₂×C₄×C₈₃	—	2	2	no	—
488	C₂×C₄×C₈₃	—	2	2	no	—
489	C₂×C₄×C₈₃	—	2	8	no	—
490	C₂×C₄×C₈₃	—	2	4	no	—
491	C₂×C₄×C₈₃	—	2	4	no	—
492	C₂×C₄×C₈₃	—	2	4	no	—
493	C₂×C₄×C₈₃	—	2	2	no	—
494	C₂×C₄×C₈₃	—	2	2	no	—
495	C₂×C₄×C₈₃	—	2	2	no	—
496	C₂×C₄×C₈₃	—	2	2	no	—
497	C₂×C₄×C₈₃	—	2	8	no	—
498	C₂×C₄×C₈₃	—	2	8	no	—
499	C₂×C₄×C₈₃	—	2	8	no	—
500	C₂×C₄×C₈₃	—	2	8	no	—
501	C₂×C₄×C₈₃	—	4	2	no	—
502	C₂×C₄×C₈₃	—	4	4	no	—
503	C₂×C₄×C₈₃	—	4	4	no	—
504	C₂×C₄×C₈₃	—	4	4	no	—
505	C₂×C₄×C₈₃	—	4	2	no	—
506	C₂×C₄×C₈₃	—	4	4	no	—
507	C₂×C₄×C₈₃	—	4	4	no	—
508	C₂×C₄×C₈₃	—	4	1	no	—
509	C₂×C₄×C₈₃	—	4	2	no	—
510	C₂×C₄×C₈₃	—	4	1	no	—
511	C₂×C₄×C₈₃	C₂×#41	1	4	yes	complemented
512	C₂×C₄×C₈₃	H(5,𝔽₂)	1	4	yes	complemented
513	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
514	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
515	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
516	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
517	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
518	C₂×C₄×C₈₃	C₂⁵	1	4	yes	—
519	C₂×C₄×C₈₃	C₂⁵	1	4	yes	—
520	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
521	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
522	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
523	C₂²⋊D₈₃	—	2	32	no	—
524	C₂²⋊D₈₃	—	2	16	no	—
525	C₂²⋊D₈₃	—	2	16	no	—
526	C₂²⋊D₈₃	—	2	16	no	—
527	C₂²⋊D₈₃	—	4	16	no	—
528	C₂²⋊D₈₃	—	4	16	no	—
529	C₂×Dic₈₃	—	2	16	no	—
530	C₂×Dic₈₃	—	4	8	no	—
531	C₂×Dic₈₃	—	4	8	no	—
532	C₂×Dic₈₃	C₂⁵	1	8	yes	—
533	C₂×Dic₈₃	C₂⁵	1	8	yes	—
534	C₂×Dic₈₃	C₂⁵	1	8	yes	—
535	D₃₃₂	—	2	8	no	—
536	D₃₃₂	—	2	8	no	—
537	D₃₃₂	—	4	8	no	—
538	D₃₃₂	—	4	4	no	—
539	C₄×D₈₃	—	2	16	no	—
540	C₄×D₈₃	—	2	16	no	—
541	C₄×D₈₃	—	4	16	no	—
542	C₄×D₈₃	—	4	8	no	—
543	Dic₁₆₆	—	2	8	no	—
544	Dic₁₆₆	—	2	8	no	—
545	Dic₁₆₆	—	4	8	no	—
546	Dic₁₆₆	—	4	4	no	—
547	C₂²×C₈₃	—	2	8	no	—
548	C₂²×C₈₃	—	2	1	no	—
549	C₂²×C₈₃	—	2	1	no	—
550	C₂²×C₈₃	—	2	4	no	—
551	C₂²×C₈₃	—	2	1	no	—
552	C₂²×C₈₃	—	2	1	no	—
553	C₂²×C₈₃	—	2	4	no	—
554	C₂²×C₈₃	—	2	1	no	—
555	C₂²×C₈₃	—	2	1	no	—
556	C₂²×C₈₃	—	2	4	no	—
557	C₂²×C₈₃	—	2	4	no	—
558	C₂²×C₈₃	—	2	4	no	—
559	C₂²×C₈₃	—	4	8	no	—
560	C₂²×C₈₃	—	4	16	no	—
561	C₂²×C₈₃	—	4	16	no	—
562	C₂²×C₈₃	—	4	8	no	—
563	C₂²×C₈₃	C₂²×#41	1	8	yes	—
564	C₂²×C₈₃	C₂²×#41	1	2	yes	—
565	C₂²×C₈₃	C₂×H(5,𝔽₂)	1	2	yes	—
566	C₂²×C₈₃	#585	1	2	yes	—
567	C₂²×C₈₃	C₂⁶	1	1	yes	characteristic
568	C₂×D₈₃	—	2	8	no	—
569	C₂×D₈₃	—	2	8	no	—
570	C₂×D₈₃	—	2	8	no	—
571	C₂×D₈₃	—	8	16	no	—
572	C₄×C₈₃	—	2	2	no	—
573	C₄×C₈₃	—	2	4	no	—
574	C₄×C₈₃	—	2	4	no	—
575	C₄×C₈₃	—	2	1	no	—
576	C₄×C₈₃	—	2	1	no	—
577	C₄×C₈₃	—	2	2	no	—
578	C₄×C₈₃	—	2	2	no	—
579	C₄×C₈₃	C₂²×#41	1	4	yes	—
580	C₄×C₈₃	C₂×H(5,𝔽₂)	1	2	yes	—
581	C₄×C₈₃	C₂×H(5,𝔽₂)	1	2	yes	—
582	Dic₈₃	—	2	8	no	—
583	Dic₈₃	—	2	8	no	—
584	Dic₈₃	—	2	8	no	—
585	#62773	—	83	1	no	maximal, Sylow
586	C₂×C₈₃	—	2	8	no	—
587	C₂×C₈₃	—	2	2	no	—
588	C₂×C₈₃	—	2	2	no	—
589	C₂×C₈₃	—	2	2	no	—
590	C₂×C₈₃	—	4	4	no	—
591	C₂×C₈₃	C₂³×#41	1	1	yes	characteristic
592	C₂×C₈₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
593	C₂×C₈₃	C₂×#585	1	1	yes	characteristic
594	D₈₃	—	4	8	no	—
595	#3520	—	83	4	no	—
596	#3519	—	83	4	no	—
597	#3513	—	83	8	no	—
598	#3506	—	83	2	no	—
599	#3505	—	83	4	no	—
600	#3501	—	83	1	no	—
601	#3496	—	83	1	no	—
602	#3492	—	83	2	no	—
603	#3490	—	83	4	no	—
604	#3484	—	83	2	no	—
605	#3481	—	83	8	no	—
606	#3475	—	83	4	no	—
607	D₄×#41	—	83	4	no	—
608	#3460	—	83	2	no	—
609	#3459	—	83	4	no	—
610	#3444	—	83	2	no	—
611	C₂×#525	—	83	4	no	—
612	C₄×H(5,𝔽₂)	—	83	2	no	—
613	C₂²×C₄×D₄	D₈₃	1	1	yes	characteristic, complemented
614	C₈₃	#62773	1	1	yes	characteristic, complemented, Sylow
615	C₂×H(5,𝔽₂)	—	83	2	no	—
616	C₂²×#41	—	83	4	no	—
617	C₂³×D₄	C₂×D₈₃	1	1	yes	characteristic
618	C₂⁴×C₄	C₂×D₈₃	1	2	yes	complemented
619	#559	—	83	8	no	—
620	#556	—	83	4	no	—
621	#555	—	83	4	no	—
622	#554	—	83	4	no	—
623	#554	—	83	8	no	—
624	#554	—	83	8	no	—
625	#553	—	83	8	no	—
626	#553	—	83	16	no	—
627	#553	—	83	8	no	—
628	#553	—	83	8	no	—
629	#552	—	83	8	no	—
630	#552	—	83	8	no	—
631	#551	—	83	16	no	—
632	#551	—	83	16	no	—
633	#551	—	83	16	no	—
634	#550	—	83	4	no	—
635	D₄×Q₈	—	83	4	no	—
636	#548	—	83	8	no	—
637	#547	—	83	4	no	—
638	#547	—	83	4	no	—
639	#547	—	83	8	no	—
640	#546	—	83	8	no	—
641	#546	—	83	8	no	—
642	#546	—	83	8	no	—
643	#546	—	83	8	no	—
644	#546	—	83	16	no	—
645	#546	—	83	16	no	—
646	D₄²	—	83	8	no	—
647	D₄²	—	83	8	no	—
648	D₄²	—	83	4	no	—
649	#544	—	83	2	no	—
650	#543	—	83	4	no	—
651	#542	—	83	8	no	—
652	#540	—	83	8	no	—
653	#539	—	83	16	no	—
654	#539	—	83	8	no	—
655	#538	—	83	16	no	—
656	#538	—	83	8	no	—
657	#538	—	83	8	no	—
658	#537	—	83	2	no	—
659	#535	—	83	4	no	—
660	#534	—	83	8	no	—
661	#534	—	83	4	no	—
662	#533	—	83	2	no	—
663	#533	—	83	2	no	—
664	#533	—	83	2	no	—
665	#532	—	83	8	no	—
666	#532	—	83	2	no	—
667	#532	—	83	2	no	—
668	#532	—	83	2	no	—
669	#529	—	83	16	no	—
670	#529	—	83	8	no	—
671	#529	—	83	4	no	—
672	#529	—	83	4	no	—
673	#529	—	83	4	no	—
674	#529	—	83	4	no	—
675	#529	—	83	4	no	—
676	#529	—	83	4	no	—
677	#525	—	83	4	no	—
678	#525	—	83	8	no	—
679	#525	—	83	8	no	—
680	#525	—	83	8	no	—
681	#525	—	83	8	no	—
682	#525	—	83	8	no	—
683	#525	—	83	8	no	—
684	#525	—	83	8	no	—
685	#525	—	83	4	no	—
686	#525	—	83	4	no	—
687	#525	—	83	16	no	—
688	C₂×#123	—	83	8	no	—
689	C₂×C₂²⋊Q₈	—	83	4	no	—
690	C₂×C₂²⋊Q₈	—	83	4	no	—
691	C₂×#121	—	83	4	no	—
692	C₂×#121	—	83	4	no	—
693	C₂×#120	—	83	8	no	—
694	#520	—	83	8	no	—
695	#520	—	83	4	no	—
696	#518	—	83	2	no	—
697	#518	—	83	8	no	—
698	#518	—	83	8	no	—
699	C₄×#41	—	83	8	no	—
700	C₄×#41	—	83	4	no	—
701	C₄×#41	—	83	4	no	—
702	C₄×#41	—	83	4	no	—
703	C₂×C₄×D₄	—	83	8	no	—
704	C₂×C₄×D₄	—	83	8	no	—
705	C₂×C₄×D₄	—	83	8	no	—
706	C₂×C₄×D₄	C₂×D₈₃	1	1	yes	characteristic
707	C₂×C₄×D₄	C₂×D₈₃	1	1	yes	characteristic
708	C₂×C₄×D₄	C₂×D₈₃	1	2	yes	complemented
709	C₂×C₄×D₄	C₂×D₈₃	1	1	yes	characteristic, complemented
710	C₂×C₄×D₄	C₂×D₈₃	1	4	yes	complemented
711	C₂×C₄×D₄	C₂×D₈₃	1	4	yes	complemented
712	C₂×C₄×D₄	C₂×D₈₃	1	2	yes	complemented
713	C₂×C₄×D₄	C₂×D₈₃	1	1	yes	characteristic, complemented
714	C₂×C₄×D₄	C₂×D₈₃	1	4	yes	complemented
715	C₂×C₄×D₄	C₂×D₈₃	1	4	yes	complemented
716	C₂×#117	—	83	4	no	—
717	C₂²×C₄⋊C₄	C₂×D₈₃	1	1	yes	characteristic, complemented
718	C₂²×C₂²⋊C₄	C₂×D₈₃	1	2	yes	complemented
719	C₂²×C₄²	C₂×D₈₃	1	1	yes	characteristic, complemented
720	C₂⁵	C₂²×D₈₃	1	2	yes	—
721	H(5,𝔽₂)	—	166	16	no	—
722	C₂×#41	—	332	16	no	—
723	C₂×#41	—	83	8	no	—
724	C₂×#41	—	83	4	no	—
725	C₂×#41	—	83	8	no	—
726	C₂×#41	—	83	8	no	—
727	C₂×#41	—	83	8	no	—
728	C₂×#41	—	83	4	no	—
729	C₂×#41	—	83	4	no	—
730	C₂²×Q₈	—	83	4	no	—
731	C₂²×D₄	—	2	8	no	—
732	C₂²×D₄	—	83	8	no	—
733	C₂²×D₄	—	83	8	no	—
734	C₂²×D₄	—	83	8	no	—
735	C₂²×D₄	—	83	8	no	—
736	C₂²×D₄	—	83	4	no	—
737	C₂²×D₄	C₂²×D₈₃	1	2	yes	—
738	C₂²×D₄	C₂²×D₈₃	1	1	yes	characteristic
739	C₂²×D₄	C₂²×D₈₃	1	4	yes	—
740	C₂²×D₄	C₂²×D₈₃	1	4	yes	—
741	C₂²×D₄	C₂²×D₈₃	1	1	yes	characteristic
742	C₂³×C₄	—	4	8	no	—
743	C₂³×C₄	—	83	8	no	—
744	C₂³×C₄	C₂²×D₈₃	1	1	yes	characteristic
745	C₂³×C₄	C₂²×D₈₃	1	4	yes	—
746	C₂³×C₄	C₂²×D₈₃	1	1	yes	characteristic
747	C₂³×C₄	C₂²×D₈₃	1	1	yes	characteristic
748	C₂³×C₄	C₂²×D₈₃	1	2	yes	—
749	C₂³×C₄	C₂²×D₈₃	1	2	yes	—
750	C₂³×C₄	C₂²×D₈₃	1	4	yes	—
751	C₂³×C₄	C₂²×D₈₃	1	2	yes	—
752	C₂³×C₄	C₂²×D₈₃	1	4	yes	—
753	C₂³×C₄	C₂²×D₈₃	1	4	yes	—
754	C₂³×C₄	C₂²×D₈₃	1	2	yes	—
755	C₂³×C₄	C₂²×D₈₃	1	2	yes	—
756	C₄⋊Q₈	—	83	8	no	—
757	C₄⋊Q₈	—	83	2	no	—
758	C₄⋊Q₈	—	83	2	no	—
759	C₄⋊Q₈	—	83	2	no	—
760	#127	—	83	8	no	—
761	#127	—	83	2	no	—
762	#126	—	83	16	no	—
763	#126	—	83	16	no	—
764	#126	—	83	16	no	—
765	#126	—	83	8	no	—
766	#126	—	83	8	no	—
767	#125	—	83	16	no	—
768	#125	—	83	8	no	—
769	#125	—	83	4	no	—
770	#125	—	83	4	no	—
771	#125	—	83	4	no	—
772	#124	—	83	8	no	—
773	#124	—	83	16	no	—
774	#124	—	83	16	no	—
775	#124	—	83	4	no	—
776	#124	—	83	4	no	—
777	#124	—	83	4	no	—
778	#123	—	83	16	no	—
779	#123	—	83	8	no	—
780	#123	—	83	16	no	—
781	#123	—	83	16	no	—
782	#123	—	83	16	no	—
783	#123	—	83	8	no	—
784	#123	—	83	8	no	—
785	#123	—	83	16	no	—
786	#123	—	83	16	no	—
787	#123	—	83	16	no	—
788	#123	—	83	16	no	—
789	C₂²⋊Q₈	—	83	4	no	—
790	C₂²⋊Q₈	—	83	4	no	—
791	C₂²⋊Q₈	—	83	8	no	—
792	C₂²⋊Q₈	—	83	8	no	—
793	C₂²⋊Q₈	—	83	8	no	—
794	C₂²⋊Q₈	—	83	8	no	—
795	C₂²⋊Q₈	—	83	8	no	—
796	C₂²⋊Q₈	—	83	8	no	—
797	C₂²⋊Q₈	—	83	4	no	—
798	C₂²⋊Q₈	—	83	4	no	—
799	C₂²⋊Q₈	—	83	4	no	—
800	C₂²⋊Q₈	—	83	4	no	—
801	C₂²⋊Q₈	—	83	16	no	—
802	C₂²⋊Q₈	—	83	8	no	—
803	C₂²⋊Q₈	—	83	16	no	—
804	C₂²⋊Q₈	—	83	16	no	—
805	#121	—	83	8	no	—
806	#121	—	83	8	no	—
807	#121	—	83	16	no	—
808	#121	—	83	16	no	—
809	#121	—	83	4	no	—
810	#121	—	83	4	no	—
811	#121	—	83	8	no	—
812	#121	—	83	8	no	—
813	#121	—	83	4	no	—
814	#121	—	83	4	no	—
815	#121	—	83	4	no	—
816	#121	—	83	4	no	—
817	#121	—	83	8	no	—
818	#121	—	83	8	no	—
819	#121	—	83	8	no	—
820	#121	—	83	8	no	—
821	#121	—	83	8	no	—
822	#121	—	83	16	no	—
823	#121	—	83	16	no	—
824	#120	—	83	8	no	—
825	#120	—	83	16	no	—
826	#120	—	83	16	no	—
827	#120	—	83	16	no	—
828	#120	—	83	16	no	—
829	#120	—	83	16	no	—
830	C₄×Q₈	—	83	8	no	—
831	C₄×Q₈	—	83	4	no	—
832	C₄×Q₈	—	83	4	no	—
833	C₄×Q₈	—	83	4	no	—
834	C₄×Q₈	—	83	4	no	—
835	C₄×Q₈	—	83	4	no	—
836	C₄×Q₈	—	83	4	no	—
837	C₄×D₄	—	83	8	no	—
838	C₄×D₄	—	83	8	no	—
839	C₄×D₄	—	83	8	no	—
840	C₄×D₄	—	83	8	no	—
841	C₄×D₄	—	83	16	no	—
842	C₄×D₄	—	83	16	no	—
843	C₄×D₄	—	83	16	no	—
844	C₄×D₄	—	83	16	no	—
845	C₄×D₄	—	83	16	no	—
846	C₄×D₄	—	83	16	no	—
847	C₄×D₄	—	83	8	no	—
848	C₄×D₄	—	83	8	no	—
849	C₄×D₄	—	83	8	no	—
850	C₄×D₄	—	83	8	no	—
851	C₄×D₄	—	83	8	no	—
852	C₄×D₄	—	83	16	no	—
853	C₄×D₄	—	83	16	no	—
854	C₄×D₄	—	83	4	no	—
855	C₄×D₄	—	83	4	no	—
856	C₄×D₄	—	83	4	no	—
857	C₄×D₄	—	83	4	no	—
858	C₄×D₄	—	83	4	no	—
859	C₄×D₄	—	83	4	no	—
860	C₄×D₄	C₂²×D₈₃	1	4	yes	—
861	C₄×D₄	C₂²×D₈₃	1	4	yes	—
862	C₄×D₄	C₂²×D₈₃	1	4	yes	—
863	C₄×D₄	C₂²×D₈₃	1	4	yes	—
864	C₄×D₄	C₂²×D₈₃	1	8	yes	—
865	C₄×D₄	C₂²×D₈₃	1	4	yes	—
866	C₄×D₄	C₂²×D₈₃	1	8	yes	—
867	C₄×D₄	C₂²×D₈₃	1	4	yes	—
868	C₄×D₄	C₂²×D₈₃	1	8	yes	—
869	C₄×D₄	C₂²×D₈₃	1	4	yes	—
870	C₄×D₄	C₂²×D₈₃	1	8	yes	—
871	C₄×D₄	C₂²×D₈₃	1	4	yes	—
872	#117	—	83	4	no	—
873	#117	—	83	8	no	—
874	#117	—	83	8	no	—
875	#117	—	83	8	no	—
876	#117	—	83	4	no	—
877	#117	—	83	4	no	—
878	#117	—	83	8	no	—
879	#117	—	83	16	no	—
880	#117	—	83	8	no	—
881	#117	—	83	8	no	—
882	#117	—	83	8	no	—
883	C₂×C₄⋊C₄	—	83	4	no	—
884	C₂×C₄⋊C₄	—	83	4	no	—
885	C₂×C₄⋊C₄	—	83	8	no	—
886	C₂×C₄⋊C₄	—	83	8	no	—
887	C₂×C₄⋊C₄	—	83	8	no	—
888	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂²×D₈₃	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂²×D₈₃	1	2	yes	—
891	C₂×C₄⋊C₄	C₂²×D₈₃	1	4	yes	—
892	C₂×C₄⋊C₄	C₂²×D₈₃	1	4	yes	—
893	C₂×C₂²⋊C₄	—	83	8	no	—
894	C₂×C₂²⋊C₄	—	83	8	no	—
895	C₂×C₂²⋊C₄	—	83	8	no	—
896	C₂×C₂²⋊C₄	—	83	8	no	—
897	C₂×C₂²⋊C₄	—	83	8	no	—
898	C₂×C₂²⋊C₄	—	83	16	no	—
899	C₂×C₂²⋊C₄	C₂²×D₈₃	1	2	yes	—
900	C₂×C₂²⋊C₄	C₂²×D₈₃	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂²×D₈₃	1	2	yes	—
902	C₂×C₂²⋊C₄	C₂²×D₈₃	1	2	yes	—
903	C₂×C₂²⋊C₄	C₂²×D₈₃	1	8	yes	—
904	C₂×C₂²⋊C₄	C₂²×D₈₃	1	8	yes	—
905	C₂×C₄²	—	83	8	no	—
906	C₂×C₄²	—	83	8	no	—
907	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
908	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
909	C₂×C₄²	C₂²×D₈₃	1	2	yes	—
910	C₂×C₄²	C₂²×D₈₃	1	2	yes	—
911	C₂×C₄²	C₂²×D₈₃	1	2	yes	—
912	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
913	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
914	C₂×C₄²	C₂²×D₈₃	1	2	yes	—
915	C₂⁴	—	2	8	no	—
916	C₂⁴	—	4	4	no	—
917	C₂⁴	—	4	4	no	—
918	C₂⁴	—	83	8	no	—
919	C₂⁴	C₂³×D₈₃	1	1	yes	characteristic
920	C₂⁴	C₂³×D₈₃	1	4	yes	—
921	C₂⁴	C₂³×D₈₃	1	4	yes	—
922	C₂⁴	C₂³×D₈₃	1	2	yes	—
923	C₂⁴	C₂³×D₈₃	1	2	yes	—
924	#41	—	332	16	no	—
925	#41	—	332	16	no	—
926	#41	—	332	8	no	—
927	#41	—	332	16	no	—
928	#41	—	166	32	no	—
929	#41	—	166	16	no	—
930	#41	—	166	16	no	—
931	C₂×Q₈	—	332	8	no	—
932	C₂×Q₈	—	83	4	no	—
933	C₂×Q₈	—	83	8	no	—
934	C₂×Q₈	—	83	4	no	—
935	C₂×Q₈	—	83	4	no	—
936	C₂×D₄	—	2	8	no	—
937	C₂×D₄	—	2	16	no	—
938	C₂×D₄	—	2	16	no	—
939	C₂×D₄	—	2	4	no	—
940	C₂×D₄	—	332	8	no	—
941	C₂×D₄	—	332	16	no	—
942	C₂×D₄	—	332	16	no	—
943	C₂×D₄	—	83	16	no	—
944	C₂×D₄	—	83	16	no	—
945	C₂×D₄	—	83	8	no	—
946	C₂×D₄	—	83	16	no	—
947	C₂×D₄	—	83	8	no	—
948	C₂×D₄	—	83	8	no	—
949	C₂×D₄	—	83	4	no	—
950	C₂×D₄	—	83	8	no	—
951	C₂×D₄	—	83	4	no	—
952	C₂×D₄	—	83	4	no	—
953	C₂×D₄	—	166	32	no	—
954	C₂×D₄	—	166	32	no	—
955	C₂×D₄	#13050590	1	8	yes	complemented
956	C₂×D₄	C₂³×D₈₃	1	8	yes	—
957	C₂×D₄	C₂³×D₈₃	1	4	yes	—
958	C₂×D₄	C₂³×D₈₃	1	4	yes	—
959	C₂²×C₄	—	2	4	no	—
960	C₂²×C₄	—	2	4	no	—
961	C₂²×C₄	—	2	16	no	—
962	C₂²×C₄	—	4	4	no	—
963	C₂²×C₄	—	4	8	no	—
964	C₂²×C₄	—	4	4	no	—
965	C₂²×C₄	—	4	8	no	—
966	C₂²×C₄	—	4	4	no	—
967	C₂²×C₄	—	4	4	no	—
968	C₂²×C₄	—	4	8	no	—
969	C₂²×C₄	—	4	4	no	—
970	C₂²×C₄	—	4	2	no	—
971	C₂²×C₄	—	332	16	no	—
972	C₂²×C₄	—	83	8	no	—
973	C₂²×C₄	—	83	8	no	—
974	C₂²×C₄	—	83	8	no	—
975	C₂²×C₄	—	83	16	no	—
976	C₂²×C₄	—	83	8	no	—
977	C₂²×C₄	—	83	8	no	—
978	C₂²×C₄	—	83	8	no	—
979	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
980	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
981	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
982	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
983	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
984	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
985	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
986	C₂²×C₄	C₂³×D₈₃	1	4	yes	—
987	C₂²×C₄	C₂³×D₈₃	1	4	yes	—
988	C₂²×C₄	C₂³×D₈₃	1	4	yes	—
989	C₂²×C₄	C₂³×D₈₃	1	4	yes	—
990	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
991	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
992	C₂²×C₄	C₂³×D₈₃	1	4	yes	—
993	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
994	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
995	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
996	C₂²×C₄	C₂³×D₈₃	1	4	yes	—
997	C₂²×C₄	C₂³×D₈₃	1	4	yes	—
998	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
999	C₂²×C₄	C₂³×D₈₃	1	4	yes	—
1000	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
1001	C₂²×C₄	C₂³×D₈₃	1	4	yes	—
1002	C₂²×C₄	C₂³×D₈₃	1	4	yes	—
1003	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1004	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1005	C₄⋊C₄	—	83	4	no	—
1006	C₄⋊C₄	—	83	4	no	—
1007	C₄⋊C₄	—	83	4	no	—
1008	C₄⋊C₄	—	83	16	no	—
1009	C₄⋊C₄	—	83	8	no	—
1010	C₄⋊C₄	—	83	8	no	—
1011	C₄⋊C₄	—	83	8	no	—
1012	C₄⋊C₄	—	83	8	no	—
1013	C₄⋊C₄	—	83	16	no	—
1014	C₄⋊C₄	—	83	4	no	—
1015	C₄⋊C₄	—	83	8	no	—
1016	C₄⋊C₄	—	83	8	no	—
1017	C₄⋊C₄	—	83	8	no	—
1018	C₄⋊C₄	—	83	8	no	—
1019	C₄⋊C₄	—	83	4	no	—
1020	C₄⋊C₄	—	83	4	no	—
1021	C₄⋊C₄	C₂³×D₈₃	1	4	yes	—
1022	C₄⋊C₄	C₂³×D₈₃	1	4	yes	—
1023	C₄⋊C₄	C₂³×D₈₃	1	8	yes	—
1024	C₂²⋊C₄	—	83	8	no	—
1025	C₂²⋊C₄	—	83	8	no	—
1026	C₂²⋊C₄	—	83	16	no	—
1027	C₂²⋊C₄	—	83	8	no	—
1028	C₂²⋊C₄	—	83	16	no	—
1029	C₂²⋊C₄	—	83	16	no	—
1030	C₂²⋊C₄	—	83	16	no	—
1031	C₂²⋊C₄	—	83	8	no	—
1032	C₂²⋊C₄	—	83	8	no	—
1033	C₂²⋊C₄	—	83	8	no	—
1034	C₂²⋊C₄	—	83	16	no	—
1035	C₂²⋊C₄	—	83	8	no	—
1036	C₂²⋊C₄	—	83	8	no	—
1037	C₂²⋊C₄	—	83	8	no	—
1038	C₂²⋊C₄	C₂³×D₈₃	1	8	yes	—
1039	C₂²⋊C₄	C₂³×D₈₃	1	8	yes	—
1040	C₂²⋊C₄	C₂³×D₈₃	1	8	yes	—
1041	C₂²⋊C₄	C₂³×D₈₃	1	8	yes	—
1042	C₄²	—	83	16	no	—
1043	C₄²	—	83	8	no	—
1044	C₄²	—	83	8	no	—
1045	C₄²	—	83	8	no	—
1046	C₄²	C₂³×D₈₃	1	2	yes	—
1047	C₄²	C₂³×D₈₃	1	2	yes	—
1048	C₄²	C₂³×D₈₃	1	2	yes	—
1049	C₄²	C₂³×D₈₃	1	2	yes	—
1050	C₄²	C₂³×D₈₃	1	2	yes	—
1051	C₄²	C₂³×D₈₃	1	2	yes	—
1052	C₄²	C₂³×D₈₃	1	2	yes	—
1053	C₄²	C₂³×D₈₃	1	2	yes	—
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	8	no	—
1058	C₂³	—	2	8	no	—
1059	C₂³	—	2	4	no	—
1060	C₂³	—	2	8	no	—
1061	C₂³	—	2	8	no	—
1062	C₂³	—	4	2	no	—
1063	C₂³	—	4	4	no	—
1064	C₂³	—	4	2	no	—
1065	C₂³	—	4	2	no	—
1066	C₂³	—	4	4	no	—
1067	C₂³	—	4	2	no	—
1068	C₂³	—	4	32	no	—
1069	C₂³	—	332	8	no	—
1070	C₂³	—	332	8	no	—
1071	C₂³	—	83	8	no	—
1072	C₂³	—	166	16	no	—
1073	C₂³	C₂×#13050590	1	8	yes	complemented
1074	C₂³	C₂⁴×D₈₃	1	4	yes	—
1075	C₂³	C₂⁴×D₈₃	1	1	yes	characteristic
1076	C₂³	C₂⁴×D₈₃	1	4	yes	—
1077	C₂³	C₂⁴×D₈₃	1	1	yes	characteristic
1078	C₂³	C₂⁴×D₈₃	1	1	yes	characteristic
1079	Q₈	—	332	8	no	—
1080	Q₈	—	332	4	no	—
1081	Q₈	—	166	8	no	—
1082	Q₈	—	166	8	no	—
1083	D₄	—	2	16	no	—
1084	D₄	—	2	8	no	—
1085	D₄	—	332	8	no	—
1086	D₄	—	332	4	no	—
1087	D₄	—	332	16	no	—
1088	D₄	—	332	16	no	—
1089	D₄	—	166	16	no	—
1090	D₄	—	166	32	no	—
1091	D₄	—	166	16	no	—
1092	D₄	—	166	16	no	—
1093	D₄	—	166	8	no	—
1094	D₄	—	166	8	no	—
1095	D₄	C₂×#13050590	1	16	yes	complemented
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	8	no	—
1099	C₂×C₄	—	2	4	no	—
1100	C₂×C₄	—	2	4	no	—
1101	C₂×C₄	—	2	4	no	—
1102	C₂×C₄	—	2	2	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	8	no	—
1107	C₂×C₄	—	2	8	no	—
1108	C₂×C₄	—	2	8	no	—
1109	C₂×C₄	—	2	8	no	—
1110	C₂×C₄	—	4	4	no	—
1111	C₂×C₄	—	4	4	no	—
1112	C₂×C₄	—	4	4	no	—
1113	C₂×C₄	—	4	4	no	—
1114	C₂×C₄	—	4	2	no	—
1115	C₂×C₄	—	4	4	no	—
1116	C₂×C₄	—	4	2	no	—
1117	C₂×C₄	—	4	1	no	—
1118	C₂×C₄	—	4	2	no	—
1119	C₂×C₄	—	4	1	no	—
1120	C₂×C₄	—	332	16	no	—
1121	C₂×C₄	—	332	8	no	—
1122	C₂×C₄	—	332	8	no	—
1123	C₂×C₄	—	332	8	no	—
1124	C₂×C₄	—	83	8	no	—
1125	C₂×C₄	—	83	8	no	—
1126	C₂×C₄	—	83	8	no	—
1127	C₂×C₄	—	166	16	no	—
1128	C₂×C₄	—	166	16	no	—
1129	C₂×C₄	—	166	16	no	—
1130	C₂×C₄	C₂×#13050590	1	4	yes	complemented
1131	C₂×C₄	#14581837	1	4	yes	complemented
1132	C₂×C₄	C₂⁴×D₈₃	1	2	yes	—
1133	C₂×C₄	C₂⁴×D₈₃	1	4	yes	—
1134	C₂×C₄	C₂⁴×D₈₃	1	2	yes	—
1135	C₂×C₄	C₂⁴×D₈₃	1	1	yes	characteristic
1136	C₂×C₄	C₂⁴×D₈₃	1	1	yes	characteristic
1137	C₂×C₄	C₂⁴×D₈₃	1	2	yes	—
1138	C₂×C₄	C₂⁴×D₈₃	1	4	yes	—
1139	C₂×C₄	C₂⁴×D₈₃	1	2	yes	—
1140	C₂×C₄	C₂⁴×D₈₃	1	1	yes	characteristic
1141	C₂×C₄	C₂⁴×D₈₃	1	1	yes	characteristic
1142	C₂²	—	2	8	no	—
1143	C₂²	—	2	1	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	2	1	no	—
1146	C₂²	—	2	1	no	—
1147	C₂²	—	2	4	no	—
1148	C₂²	—	2	1	no	—
1149	C₂²	—	2	1	no	—
1150	C₂²	—	2	4	no	—
1151	C₂²	—	2	4	no	—
1152	C₂²	—	2	4	no	—
1153	C₂²	—	2	4	no	—
1154	C₂²	—	4	8	no	—
1155	C₂²	—	4	16	no	—
1156	C₂²	—	4	16	no	—
1157	C₂²	—	4	8	no	—
1158	C₂²	—	664	16	no	—
1159	C₂²	—	166	8	no	—
1160	C₂²	—	166	8	no	—
1161	C₂²	—	166	8	no	—
1162	C₂²	C₂²×#13050590	1	2	yes	—
1163	C₂²	C₂²×#13050590	1	8	yes	—
1164	C₂²	C₂×#14581837	1	2	yes	—
1165	C₂²	#19128537	1	2	yes	—
1166	C₂²	C₂⁵×D₈₃	1	1	yes	characteristic
1167	C₄	—	2	2	no	—
1168	C₄	—	2	1	no	—
1169	C₄	—	2	1	no	—
1170	C₄	—	2	4	no	—
1171	C₄	—	2	4	no	—
1172	C₄	—	2	2	no	—
1173	C₄	—	2	2	no	—
1174	C₄	—	166	8	no	—
1175	C₄	—	166	8	no	—
1176	C₄	—	166	8	no	—
1177	C₄	C₂²×#13050590	1	4	yes	—
1178	C₄	C₂×#14581837	1	2	yes	—
1179	C₄	C₂×#14581837	1	2	yes	—
1180	C₂	—	2	2	no	—
1181	C₂	—	2	2	no	—
1182	C₂	—	2	2	no	—
1183	C₂	—	2	8	no	—
1184	C₂	—	4	4	no	—
1185	C₂	—	332	8	no	—
1186	C₂	C₂³×#13050590	1	1	yes	characteristic
1187	C₂	C₂²×#14581837	1	1	yes	characteristic
1188	C₂	C₂×#19128537	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₈₃
commutator, socle, cosocle	C₂²×C₈₃	C₂⁶
Frattini	C₂²	C₂⁵×D₈₃
Fitting	C₂²×C₄×D₄×C₈₃	C₂
hypercenter	C₂²×C₄×D₄	D₈₃
hypocenter	C₈₃	#62773
LCS	G ▷ C₂²×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₄×D₄

Complements

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

N	H ≅ G/N	type
1. #24921512	C₂	semidirect
2. #24921495	C₂	semidirect
3. #24921403	C₂	semidirect
4. #24921315	C₂	semidirect
5. #24921302	C₂	semidirect
6. #24921266	C₂	semidirect
7. #24921227	C₂	semidirect
8. #24921172	C₂	semidirect
9. #24921152	C₂	semidirect
10. #24921098	C₂	semidirect
11. #24921067	C₂	semidirect
12. #24921021	C₂	semidirect
13. D₄×#13050590	C₂	semidirect
14. #24920885	C₂	semidirect
15. #24920872	C₂	semidirect
16. #24920759	C₂	semidirect
17. C₂×#19128212	C₂	semidirect
18. C₄×#14581837	C₂	semidirect
19. C₂²×C₄×D₄×C₈₃	C₂	semidirect
21. C₂²×#13050590	C₂²	semidirect
22. #19128434	C₂²	semidirect
23. #19128421	C₂²	semidirect
24. #19128416	C₂²	semidirect
25. #19128410	C₂²	semidirect
26. #19128408	C₂²	semidirect
27. #19128406	C₂²	semidirect
28. #19128401	C₂²	semidirect
29. #19128400	C₂²	semidirect
30. #19128399	C₂²	semidirect
31. #19128397	C₂²	semidirect
32. #19128391	C₂²	semidirect
33. #19128386	C₂²	semidirect
34. #19128380	C₂²	semidirect
35. #19128377	C₂²	semidirect
36. #19128377	C₂²	semidirect
37. #19128372	C₂²	semidirect
38. D₄×Dic₁₆₆	C₂²	semidirect
39. #19128360	C₂²	semidirect
40. #19128356	C₂²	semidirect
41. #19128355	C₂²	semidirect
42. #19128352	C₂²	semidirect
43. #19128347	C₂²	semidirect
44. #19128346	C₂²	semidirect
45. #19128345	C₂²	semidirect
46. #19128345	C₂²	semidirect
47. #19128341	C₂²	semidirect
48. #19128341	C₂²	semidirect
49. D₄×D₃₃₂	C₂²	semidirect
50. D₄×C₂²⋊D₈₃	C₂²	semidirect
51. D₄×C₂²⋊D₈₃	C₂²	semidirect
52. #19128332	C₂²	semidirect
53. #19128327	C₂²	semidirect
54. #19128316	C₂²	semidirect
55. #19128302	C₂²	semidirect
56. #19128298	C₂²	semidirect
57. #19128293	C₂²	semidirect
58. #19128289	C₂²	semidirect
59. #19128289	C₂²	semidirect
60. #19128284	C₂²	semidirect
61. #19128282	C₂²	semidirect
62. #19128268	C₂²	semidirect
63. #19128263	C₂²	semidirect
64. #19128260	C₂²	semidirect
65. #19128258	C₂²	semidirect
66. #19128258	C₂²	semidirect
67. #19128258	C₂²	semidirect
68. #19128251	C₂²	semidirect
69. #19128251	C₂²	semidirect
70. #19128251	C₂²	semidirect
71. #19128248	C₂²	semidirect
72. #19128235	C₂²	semidirect
73. #19128235	C₂²	semidirect
74. #19128235	C₂²	semidirect
75. #19128235	C₂²	semidirect
76. #19128235	C₂²	semidirect
77. #19128235	C₂²	semidirect
78. #19128233	C₂²	semidirect
79. #19128231	C₂²	semidirect
80. #19128212	C₂²	semidirect
81. #19128212	C₂²	semidirect
82. #19128212	C₂²	semidirect
83. #19128212	C₂²	semidirect
84. #19128212	C₂²	semidirect
85. #19128212	C₂²	semidirect
86. #19128212	C₂²	semidirect
87. #19128212	C₂²	semidirect
88. #19128212	C₂²	semidirect
89. #19128212	C₂²	semidirect
90. #19128210	C₂²	semidirect
91. C₂×#14581775	C₂²	semidirect
92. C₂×#14581771	C₂²	semidirect
93. C₂×#14581771	C₂²	semidirect
94. C₂×#14581766	C₂²	semidirect
95. C₂×#14581766	C₂²	semidirect
96. C₂×#14581761	C₂²	semidirect
97. #19128182	C₂²	semidirect
98. #19128180	C₂²	semidirect
100. #19128174	C₂²	semidirect
101. #19128173	C₂²	semidirect
102. C₄×#13050590	C₂²	semidirect
103. C₄×#13050590	C₂²	semidirect
104. C₄×#13050590	C₂²	semidirect
105. C₄×#13050589	C₂²	semidirect
106. C₂×C₄×C₂²⋊D₈₃	C₂²	semidirect
107. C₂×C₄×C₂²⋊D₈₃	C₂²	semidirect
108. C₄×D₄×D₈₃	C₂²	semidirect
109. C₂×#14581751	C₂²	semidirect
111. C₂⁴×C₄×C₈₃	C₂²	semidirect
114. C₂×C₄×D₄×C₈₃	C₂²	semidirect
115. C₂×C₄×D₄×C₈₃	C₂²	semidirect
116. C₂×C₄×D₄×C₈₃	C₂²	semidirect
117. C₂×C₄×D₄×C₈₃	C₂²	semidirect
118. C₂×C₄×D₄×C₈₃	C₂²	semidirect
119. C₂×C₄×D₄×C₈₃	C₂²	semidirect
120. C₂×C₄×D₄×C₈₃	C₂²	semidirect
121. C₂×C₄×D₄×C₈₃	C₂²	semidirect
122. C₂²×C₄⋊C₄×C₈₃	C₂²	semidirect
123. C₂²×C₂²⋊C₄×C₈₃	C₂²	semidirect
124. C₂²×C₄²×C₈₃	C₂²	semidirect
131. C₂×#13050590	C₂³	semidirect
132. C₂×#13050590	C₂³	semidirect
134. C₂²×Dic₁₆₆	C₂³	semidirect
135. C₂²×D₃₃₂	C₂³	semidirect
140. C₂²×C₄×D₈₃	C₂³	semidirect
141. #14581792	C₂³	semidirect
142. #14581792	C₂³	semidirect
143. #14581792	C₂³	semidirect
144. #14581791	C₂³	semidirect
145. #14581789	C₂³	semidirect
147. #14581787	C₂³	semidirect
148. #14581786	C₂³	semidirect
149. #14581786	C₂³	semidirect
150. #14581785	C₂³	semidirect
151. #14581785	C₂³	semidirect
152. #14581784	C₂³	semidirect
153. #14581784	C₂³	semidirect
154. #14581784	C₂³	semidirect
155. #14581783	C₂³	semidirect
156. #14581782	C₂³	semidirect
157. #14581780	C₂³	semidirect
158. #14581780	C₂³	semidirect
159. #14581780	C₂³	semidirect
161. #14581778	C₂³	semidirect
162. #14581778	C₂³	semidirect
163. #14581777	C₂³	semidirect
164. #14581776	C₂³	semidirect
169. #14581775	C₂³	semidirect
170. #14581775	C₂³	semidirect
171. #14581774	C₂³	semidirect
172. #14581774	C₂³	semidirect
174. #14581772	C₂³	semidirect
183. #14581771	C₂³	semidirect
184. #14581771	C₂³	semidirect
185. #14581771	C₂³	semidirect
186. #14581771	C₂³	semidirect
187. #14581770	C₂³	semidirect
188. #14581769	C₂³	semidirect
189. #14581769	C₂³	semidirect
190. #14581767	C₂³	semidirect
199. #14581766	C₂³	semidirect
200. #14581766	C₂³	semidirect
201. #14581766	C₂³	semidirect
202. #14581766	C₂³	semidirect
203. #14581765	C₂³	semidirect
204. #14581765	C₂³	semidirect
209. #14581762	C₂³	semidirect
215. C₄×Dic₁₆₆	C₂³	semidirect
216. C₄×Dic₁₆₆	C₂³	semidirect
217. C₄×Dic₁₆₆	C₂³	semidirect
218. C₄×Dic₁₆₆	C₂³	semidirect
219. C₄×Dic₁₆₆	C₂³	semidirect
220. C₄×Dic₁₆₆	C₂³	semidirect
221. #14581757	C₂³	semidirect
222. C₄×D₃₃₂	C₂³	semidirect
223. C₄×D₃₃₂	C₂³	semidirect
224. C₄×D₃₃₂	C₂³	semidirect
225. C₄×D₃₃₂	C₂³	semidirect
226. C₄×D₃₃₂	C₂³	semidirect
227. C₄×D₃₃₂	C₂³	semidirect
230. #14581754	C₂³	semidirect
239. C₄×C₂²⋊D₈₃	C₂³	semidirect
240. C₄×C₂²⋊D₈₃	C₂³	semidirect
241. C₄×C₂²⋊D₈₃	C₂³	semidirect
242. C₄×C₂²⋊D₈₃	C₂³	semidirect
243. (C₂²⋊D₈₃)⋊C₄	C₂³	semidirect
244. (C₂²⋊D₈₃)⋊C₄	C₂³	semidirect
249. #14581751	C₂³	semidirect
250. #14581751	C₂³	semidirect
251. #14581750	C₂³	semidirect
252. #14581749	C₂³	semidirect
253. #14581749	C₂³	semidirect
254. #14581749	C₂³	semidirect
255. #14581748	C₂³	semidirect
256. C₂×C₄⋊Dic₈₃	C₂³	semidirect
257. C₂×C₄⋊Dic₈₃	C₂³	semidirect
258. C₂×Dic₈₃⋊C₄	C₂³	semidirect
259. C₂×Dic₈₃⋊C₄	C₂³	semidirect
260. C₄⋊C₄×D₈₃	C₂³	semidirect
264. C₂×(C₂×D₈₃)⋊C₄	C₂³	semidirect
265. C₂×(C₂×D₈₃)⋊C₄	C₂³	semidirect
266. C₂²⋊C₄×D₈₃	C₂³	semidirect
267. C₂×C₄×Dic₈₃	C₂³	semidirect
268. C₄²×D₈₃	C₂³	semidirect
402. C₂×D₄×C₈₃	#41	semidirect
474. C₂³×C₈₃	C₂×#41	semidirect
486. D₄×C₈₃	C₂×#41	semidirect
511. C₂×C₄×C₈₃	C₂×#41	semidirect
512. C₂×C₄×C₈₃	H(5,𝔽₂)	semidirect
613. C₂²×C₄×D₄	D₈₃	semidirect
614. C₈₃	#62773	semidirect
618. C₂⁴×C₄	C₂×D₈₃	semidirect
708. C₂×C₄×D₄	C₂×D₈₃	semidirect
709. C₂×C₄×D₄	C₂×D₈₃	semidirect
710. C₂×C₄×D₄	C₂×D₈₃	semidirect
711. C₂×C₄×D₄	C₂×D₈₃	semidirect
712. C₂×C₄×D₄	C₂×D₈₃	semidirect
713. C₂×C₄×D₄	C₂×D₈₃	semidirect
714. C₂×C₄×D₄	C₂×D₈₃	semidirect
715. C₂×C₄×D₄	C₂×D₈₃	semidirect
717. C₂²×C₄⋊C₄	C₂×D₈₃	semidirect
718. C₂²×C₂²⋊C₄	C₂×D₈₃	semidirect
719. C₂²×C₄²	C₂×D₈₃	semidirect
955. C₂×D₄	#13050590	semidirect
1073. C₂³	C₂×#13050590	semidirect
1095. D₄	C₂×#13050590	semidirect
1130. C₂×C₄	C₂×#13050590	semidirect
1131. C₂×C₄	#14581837	semidirect

Maximal subgroups

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

subgroup	index
#24921512	2
#24921495	2
#24921403	2
#24921315	2
#24921302	2
#24921266	2
#24921227	2
#24921172	2
#24921152	2
#24921098	2
#24921067	2
#24921021	2
D₄×#13050590	2
#24920885	2
#24920872	2
#24920759	2
C₂×#19128212	2
C₄×#14581837	2
C₂²×C₄×D₄×C₈₃	2
#62773	83