Subgroups — #46824567

Order 34432.

1328 conjugacy classes of subgroups.

The subgroup lattice has 1104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#31771286	C₂	1	1	yes	maximal, characteristic, complemented
2	#31771285	C₂	1	1	yes	maximal, characteristic, complemented
3	#31771284	C₂	1	1	yes	maximal, characteristic, complemented
4	#31771284	C₂	1	1	yes	maximal, characteristic, complemented
5	#31771283	C₂	1	1	yes	maximal, characteristic, complemented
6	#31771282	C₂	1	1	yes	maximal, characteristic, complemented
7	#31771281	C₂	1	1	yes	maximal, characteristic, complemented
8	#31771278	C₂	1	1	yes	maximal, characteristic, complemented
9	#31771252	C₂	1	1	yes	maximal, characteristic, complemented
10	#31771249	C₂	1	1	yes	maximal, characteristic, complemented
11	#31771245	C₂	1	1	yes	maximal, characteristic, complemented
12	#31771244	C₂	1	1	yes	maximal, characteristic, complemented
13	#31771244	C₂	1	1	yes	maximal, characteristic, complemented
14	#31771243	C₂	1	1	yes	maximal, characteristic, complemented
15	#31771242	C₂	1	1	yes	maximal, characteristic, complemented
16	#31771230	C₂	1	1	yes	maximal, characteristic, complemented
17	#31771191	C₂	1	1	yes	maximal, characteristic, complemented
18	#31771189	C₂	1	1	yes	maximal, characteristic, complemented
19	#31771187	C₂	1	1	yes	maximal, characteristic, complemented
20	#31771187	C₂	1	1	yes	maximal, characteristic, complemented
21	#31771165	C₂	1	1	yes	maximal, characteristic, complemented
22	#31771115	C₂	1	1	yes	maximal, characteristic, complemented
23	#31771114	C₂	1	1	yes	maximal, characteristic, complemented
24	#31771113	C₂	1	1	yes	maximal, characteristic, complemented
25	#31771112	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#22575421	C₂	1	1	yes	maximal, characteristic, complemented
27	#120×D₂₆₉	C₂	1	1	yes	maximal, characteristic, complemented
28	#31771078	C₂	1	1	yes	maximal, characteristic, complemented
29	#31771077	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂²⋊C₄×D₂₆₉	C₂	1	1	yes	maximal, characteristic, complemented
31	#546×C₂₆₉	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×D₂₆₉	C₂²	1	1	yes	characteristic
33	C₂×#16864402	C₂²	1	1	yes	characteristic, complemented
34	C₂×#16864401	C₂²	1	1	yes	characteristic, complemented
35	C₂×#16864401	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₂²⋊D₂₆₉	C₂²	1	1	yes	characteristic
37	C₂²×C₂²⋊D₂₆₉	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₄×D₂₆₉	C₂²	1	1	yes	characteristic
39	C₂×D₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
43	#22575448	C₂²	1	1	yes	characteristic, complemented
44	#22575448	C₂²	1	1	yes	characteristic, complemented
45	#22575448	C₂²	1	1	yes	characteristic, complemented
46	#22575447	C₂²	1	1	yes	characteristic, complemented
47	#22575446	C₂²	1	1	yes	characteristic, complemented
48	#22575446	C₂²	1	1	yes	characteristic, complemented
49	#22575446	C₂²	1	1	yes	characteristic, complemented
50	#22575446	C₂²	1	1	yes	characteristic, complemented
51	#22575442	C₂²	1	1	yes	characteristic, complemented
52	#22575440	C₂²	1	1	yes	characteristic, complemented
53	#22575440	C₂²	1	1	yes	characteristic, complemented
54	#22575439	C₂²	1	1	yes	characteristic, complemented
55	#22575439	C₂²	1	1	yes	characteristic, complemented
56	#22575439	C₂²	1	1	yes	characteristic, complemented
57	#22575439	C₂²	1	1	yes	characteristic, complemented
58	#22575438	C₂²	1	1	yes	characteristic, complemented
59	#22575438	C₂²	1	1	yes	characteristic, complemented
60	#22575437	C₂²	1	1	yes	characteristic, complemented
61	#22575437	C₂²	1	1	yes	characteristic, complemented
62	#22575436	C₂²	1	1	yes	characteristic, complemented
63	#22575436	C₂²	1	1	yes	characteristic, complemented
64	#22575436	C₂²	1	1	yes	characteristic, complemented
65	#22575435	C₂²	1	1	yes	characteristic, complemented
66	#22575435	C₂²	1	1	yes	characteristic, complemented
67	#22575435	C₂²	1	1	yes	characteristic, complemented
68	#22575435	C₂²	1	1	yes	characteristic, complemented
69	#22575435	C₂²	1	1	yes	characteristic, complemented
70	#22575435	C₂²	1	1	yes	characteristic, complemented
71	#22575434	C₂²	1	1	yes	characteristic, complemented
72	#22575434	C₂²	1	1	yes	characteristic, complemented
73	#22575434	C₂²	1	1	yes	characteristic, complemented
74	#22575434	C₂²	1	1	yes	characteristic, complemented
75	#22575434	C₂²	1	1	yes	characteristic, complemented
76	#22575433	C₂²	1	1	yes	characteristic, complemented
77	#22575433	C₂²	1	1	yes	characteristic, complemented
78	#22575432	C₂²	1	1	yes	characteristic, complemented
79	#22575432	C₂²	1	1	yes	characteristic, complemented
80	#22575431	C₂²	1	1	yes	characteristic, complemented
81	#22575431	C₂²	1	1	yes	characteristic, complemented
82	#22575431	C₂²	1	1	yes	characteristic, complemented
83	#22575431	C₂²	1	1	yes	characteristic, complemented
84	#22575431	C₂²	1	1	yes	characteristic, complemented
85	#22575430	C₂²	1	1	yes	characteristic, complemented
86	#22575430	C₂²	1	1	yes	characteristic, complemented
87	#22575430	C₂²	1	1	yes	characteristic, complemented
88	#22575429	C₂²	1	1	yes	characteristic, complemented
89	#22575429	C₂²	1	1	yes	characteristic, complemented
90	#22575429	C₂²	1	1	yes	characteristic, complemented
91	#22575427	C₂²	1	1	yes	characteristic, complemented
92	#22575426	C₂²	1	1	yes	characteristic, complemented
93	#22575426	C₂²	1	1	yes	characteristic, complemented
94	#22575426	C₂²	1	1	yes	characteristic, complemented
95	#22575426	C₂²	1	1	yes	characteristic, complemented
96	#22575425	C₂²	1	1	yes	characteristic, complemented
97	#22575425	C₂²	1	1	yes	characteristic, complemented
98	#22575425	C₂²	1	1	yes	characteristic, complemented
99	#22575425	C₂²	1	1	yes	characteristic, complemented
100	#22575424	C₂²	1	1	yes	characteristic, complemented
101	#22575424	C₂²	1	1	yes	characteristic, complemented
102	#22575424	C₂²	1	1	yes	characteristic, complemented
103	#22575424	C₂²	1	1	yes	characteristic, complemented
104	#22575423	C₂²	1	1	yes	characteristic
105	#22575423	C₂²	1	1	yes	characteristic, complemented
106	#22575423	C₂²	1	1	yes	characteristic, complemented
107	#22575422	C₂²	1	1	yes	characteristic
108	#22575422	C₂²	1	1	yes	characteristic, complemented
109	#22575421	C₂²	1	1	yes	characteristic
110	#22575421	C₂²	1	1	yes	characteristic
111	#22575421	C₂²	1	1	yes	characteristic
112	#22575421	C₂²	1	1	yes	characteristic
113	#22575421	C₂²	1	1	yes	characteristic
114	#22575421	C₂²	1	1	yes	characteristic, complemented
115	#22575421	C₂²	1	1	yes	characteristic, complemented
116	#22575421	C₂²	1	1	yes	characteristic, complemented
117	#22575421	C₂²	1	1	yes	characteristic, complemented
118	#22575421	C₂²	1	1	yes	characteristic, complemented
119	#22575421	C₂²	1	1	yes	characteristic, complemented
120	#22575421	C₂²	1	1	yes	characteristic, complemented
121	#22575421	C₂²	1	1	yes	characteristic, complemented
122	C₄×D₁₀₇₆	C₂²	1	1	yes	characteristic, complemented
123	D₄×Dic₂₆₉	C₂²	1	1	yes	characteristic, complemented
124	D₄×Dic₂₆₉	C₂²	1	1	yes	characteristic, complemented
125	D₄×Dic₂₆₉	C₂²	1	1	yes	characteristic, complemented
126	#22575415	C₂²	1	1	yes	characteristic, complemented
127	#22575415	C₂²	1	1	yes	characteristic, complemented
128	C₄×C₂²⋊D₂₆₉	C₂²	1	1	yes	characteristic, complemented
129	C₄×C₂²⋊D₂₆₉	C₂²	1	1	yes	characteristic, complemented
130	C₄×C₂²⋊D₂₆₉	C₂²	1	1	yes	characteristic, complemented
131	C₄×C₂²⋊D₂₆₉	C₂²	1	1	yes	characteristic, complemented
132	C₄×C₂²⋊D₂₆₉	C₂²	1	1	yes	characteristic, complemented
133	C₄×C₂²⋊D₂₆₉	C₂²	1	1	yes	characteristic, complemented
134	C₄×C₂²⋊D₂₆₉	C₂²	1	1	yes	characteristic, complemented
135	C₄×C₂²⋊D₂₆₉	C₂²	1	1	yes	characteristic, complemented
136	C₄×C₂²⋊D₂₆₉	C₂²	1	1	yes	characteristic, complemented
137	#22575413	C₂²	1	1	yes	characteristic, complemented
138	#22575413	C₂²	1	1	yes	characteristic, complemented
139	#22575413	C₂²	1	1	yes	characteristic, complemented
140	#22575413	C₂²	1	1	yes	characteristic, complemented
141	#22575413	C₂²	1	1	yes	characteristic, complemented
142	#22575413	C₂²	1	1	yes	characteristic, complemented
143	#22575413	C₂²	1	1	yes	characteristic, complemented
144	#22575412	C₂²	1	1	yes	characteristic, complemented
145	#22575411	C₂²	1	1	yes	characteristic, complemented
146	#22575411	C₂²	1	1	yes	characteristic, complemented
147	#22575410	C₂²	1	1	yes	characteristic, complemented
148	#22575410	C₂²	1	1	yes	characteristic, complemented
149	#22575409	C₂²	1	1	yes	characteristic, complemented
150	#22575409	C₂²	1	1	yes	characteristic, complemented
151	#22575409	C₂²	1	1	yes	characteristic, complemented
152	C₂×C₂²⋊Dic₂₆₉	C₂²	1	1	yes	characteristic, complemented
153	C₂×C₂²⋊Dic₂₆₉	C₂²	1	1	yes	characteristic, complemented
154	C₂×C₂²⋊Dic₂₆₉	C₂²	1	1	yes	characteristic, complemented
155	C₂×#16864379	C₂²	1	1	yes	characteristic
156	C₂×#16864379	C₂²	1	1	yes	characteristic, complemented
157	C₂×#16864379	C₂²	1	1	yes	characteristic, complemented
158	C₂×#16864379	C₂²	1	1	yes	characteristic, complemented
159	C₂×#16864379	C₂²	1	1	yes	characteristic, complemented
160	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
164	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
165	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
166	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×D₂₆₉	C₂²	1	1	yes	characteristic, complemented
172	C₂×#41×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
173	C₂²×D₄×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
174	#124×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
175	#123×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
176	#123×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
177	C₂²⋊Q₈×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
178	#121×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
179	#121×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
180	#121×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
181	#120×C₂₆₉	C₂²	1	1	yes	characteristic
182	#120×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×D₄×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₄×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
185	C₂×C₂²⋊C₄×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₂²⋊C₄×C₂₆₉	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₂₆₉	—	2	4	no	—
188	C₂³×D₂₆₉	—	4	2	no	—
189	C₂³×D₂₆₉	—	4	2	no	—
190	C₂³×D₂₆₉	C₂³	1	1	yes	characteristic
191	C₂³×D₂₆₉	C₂³	1	1	yes	characteristic
192	C₂³×D₂₆₉	C₂³	1	1	yes	characteristic
193	C₂³×D₂₆₉	C₂³	1	1	yes	characteristic
194	C₂³×D₂₆₉	C₂³	1	1	yes	characteristic
195	C₂³×D₂₆₉	C₂³	1	1	yes	characteristic
196	C₂³×D₂₆₉	C₂³	1	1	yes	characteristic
197	#16864402	—	4	2	no	—
198	#16864401	—	4	2	no	—
199	#16864401	—	4	2	no	—
200	C₂×Dic₅₃₈	C₂³	1	1	yes	characteristic, complemented
201	C₂×Dic₅₃₈	C₂³	1	1	yes	characteristic, complemented
202	C₂×Dic₅₃₈	C₂³	1	1	yes	characteristic, complemented
203	C₂×D₁₀₇₆	C₂³	1	1	yes	characteristic
204	C₂×D₁₀₇₆	C₂³	1	1	yes	characteristic
205	C₂×D₁₀₇₆	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊D₂₆₉	—	2	4	no	—
207	C₂×C₂²⋊D₂₆₉	—	4	2	no	—
208	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic, complemented
223	C₂×C₂²⋊D₂₆₉	C₂³	1	1	yes	characteristic, complemented
224	D₄×D₂₆₉	—	2	4	no	—
225	D₄×D₂₆₉	—	4	2	no	—
226	D₄×D₂₆₉	—	4	2	no	—
227	C₂²×Dic₂₆₉	C₂³	1	1	yes	characteristic
228	C₂²×Dic₂₆₉	C₂³	1	1	yes	characteristic
229	C₂²×Dic₂₆₉	C₂³	1	1	yes	characteristic
230	C₂²×Dic₂₆₉	C₂³	1	1	yes	characteristic
231	C₂²×Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
232	C₂²×Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
233	C₂²×Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
234	C₂×C₄×D₂₆₉	—	4	2	no	—
235	C₂×C₄×D₂₆₉	—	4	2	no	—
236	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic
238	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic
240	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic, complemented
248	C₂×C₄×D₂₆₉	C₂³	1	1	yes	characteristic, complemented
249	C₄⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
250	C₄⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
251	C₄⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
252	C₄⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
253	C₄⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
254	C₄⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
255	#16864381	C₂³	1	1	yes	characteristic, complemented
256	#16864381	C₂³	1	1	yes	characteristic, complemented
257	#16864381	C₂³	1	1	yes	characteristic, complemented
258	#16864381	C₂³	1	1	yes	characteristic, complemented
259	#16864381	C₂³	1	1	yes	characteristic, complemented
260	#16864381	C₂³	1	1	yes	characteristic, complemented
261	#16864381	C₂³	1	1	yes	characteristic, complemented
262	#16864381	C₂³	1	1	yes	characteristic, complemented
263	#16864381	C₂³	1	1	yes	characteristic, complemented
264	#16864381	C₂³	1	1	yes	characteristic, complemented
265	#16864381	C₂³	1	1	yes	characteristic, complemented
266	#16864381	C₂³	1	1	yes	characteristic, complemented
267	#16864381	C₂³	1	1	yes	characteristic, complemented
268	#16864381	C₂³	1	1	yes	characteristic, complemented
269	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic
270	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic
271	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic
272	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic
273	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic
274	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic
275	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic
276	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic
277	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic
278	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic
279	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic
280	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
281	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
282	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
283	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
284	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
285	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
286	C₂²⋊Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
287	#16864379	C₂³	1	1	yes	characteristic
288	#16864379	C₂³	1	1	yes	characteristic
289	#16864379	C₂³	1	1	yes	characteristic
290	#16864379	C₂³	1	1	yes	characteristic
291	#16864379	C₂³	1	1	yes	characteristic
292	#16864379	C₂³	1	1	yes	characteristic
293	#16864379	C₂³	1	1	yes	characteristic
294	#16864379	C₂³	1	1	yes	characteristic
295	#16864379	C₂³	1	1	yes	characteristic
296	#16864379	C₂³	1	1	yes	characteristic
297	#16864379	C₂³	1	1	yes	characteristic
298	#16864379	C₂³	1	1	yes	characteristic
299	#16864379	C₂³	1	1	yes	characteristic
300	#16864379	C₂³	1	1	yes	characteristic
301	#16864379	C₂³	1	1	yes	characteristic
302	#16864379	C₂³	1	1	yes	characteristic
303	#16864379	C₂³	1	1	yes	characteristic
304	#16864379	C₂³	1	1	yes	characteristic
305	#16864379	C₂³	1	1	yes	characteristic
306	#16864379	C₂³	1	1	yes	characteristic
307	#16864379	C₂³	1	1	yes	characteristic
308	#16864379	C₂³	1	1	yes	characteristic
309	#16864379	C₂³	1	1	yes	characteristic, complemented
310	#16864379	C₂³	1	1	yes	characteristic, complemented
311	#16864379	C₂³	1	1	yes	characteristic, complemented
312	#16864379	C₂³	1	1	yes	characteristic, complemented
313	C₄×Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
314	C₄×Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
315	C₄×Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
316	C₄×Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
317	C₄×Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
318	C₄×Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
319	C₄×Dic₂₆₉	C₂³	1	1	yes	characteristic, complemented
320	C₂⁴×C₂₆₉	C₂³	1	1	yes	characteristic
321	C₂⁴×C₂₆₉	C₂³	1	1	yes	characteristic
322	#41×C₂₆₉	—	4	2	no	—
323	C₂×Q₈×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
324	C₂×D₄×C₂₆₉	—	4	2	no	—
325	C₂×D₄×C₂₆₉	C₂³	1	1	yes	characteristic
326	C₂×D₄×C₂₆₉	C₂³	1	1	yes	characteristic
327	C₂×D₄×C₂₆₉	C₂³	1	1	yes	characteristic
328	C₂×D₄×C₂₆₉	C₂³	1	1	yes	characteristic
329	C₂×D₄×C₂₆₉	C₂³	1	1	yes	characteristic
330	C₂×D₄×C₂₆₉	C₂³	1	1	yes	characteristic
331	C₂×D₄×C₂₆₉	C₂³	1	1	yes	characteristic
332	C₂×D₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
333	C₂×D₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
334	C₂²×C₄×C₂₆₉	C₂³	1	1	yes	characteristic
335	C₂²×C₄×C₂₆₉	C₂³	1	1	yes	characteristic
336	C₂²×C₄×C₂₆₉	C₂³	1	1	yes	characteristic
337	C₂²×C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
338	C₂²×C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
339	C₂²×C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
340	C₄⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
341	C₄⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
342	C₄⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
343	C₄⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
344	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic
345	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic
346	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic
347	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic
348	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic
349	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic
350	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic
351	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
352	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
353	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
354	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
355	C₂²⋊C₄×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
356	C₄²×C₂₆₉	C₂³	1	1	yes	characteristic, complemented
357	C₂²×D₂₆₉	—	2	2	no	—
358	C₂²×D₂₆₉	—	2	2	no	—
359	C₂²×D₂₆₉	—	2	2	no	—
360	C₂²×D₂₆₉	—	2	2	no	—
361	C₂²×D₂₆₉	—	2	2	no	—
362	C₂²×D₂₆₉	—	2	2	no	—
363	C₂²×D₂₆₉	—	2	2	no	—
364	C₂²×D₂₆₉	—	2	2	no	—
365	C₂²×D₂₆₉	—	2	2	no	—
366	C₂²×D₂₆₉	—	2	2	no	—
367	C₂²×D₂₆₉	—	2	2	no	—
368	C₂²×D₂₆₉	—	4	1	no	—
369	C₂²×D₂₆₉	—	4	1	no	—
370	C₂²×D₂₆₉	—	4	1	no	—
371	C₂²×D₂₆₉	—	4	1	no	—
372	C₂²×D₂₆₉	—	4	1	no	—
373	C₂²×D₂₆₉	—	4	1	no	—
374	C₂²×D₂₆₉	—	4	1	no	—
375	C₂²×D₂₆₉	—	4	1	no	—
376	C₂²×D₂₆₉	—	4	1	no	—
377	C₂²×D₂₆₉	—	4	16	no	—
378	C₂²×D₂₆₉	#41	1	4	yes	complemented
379	C₂²×D₂₆₉	C₂⁴	1	1	yes	characteristic
380	C₂²×D₂₆₉	C₂⁴	1	1	yes	characteristic
381	C₂²×D₂₆₉	C₂⁴	1	1	yes	characteristic
382	C₂²×D₂₆₉	C₂⁴	1	1	yes	characteristic
383	C₂²×D₂₆₉	C₂⁴	1	1	yes	characteristic
384	Dic₅₃₈	—	4	1	no	—
385	Dic₅₃₈	—	4	1	no	—
386	Dic₅₃₈	—	4	1	no	—
387	D₁₀₇₆	—	2	2	no	—
388	D₁₀₇₆	—	2	2	no	—
389	D₁₀₇₆	—	4	1	no	—
390	C₂²⋊D₂₆₉	—	2	2	no	—
391	C₂²⋊D₂₆₉	—	2	2	no	—
392	C₂²⋊D₂₆₉	—	2	2	no	—
393	C₂²⋊D₂₆₉	—	2	2	no	—
394	C₂²⋊D₂₆₉	—	2	2	no	—
395	C₂²⋊D₂₆₉	—	2	2	no	—
396	C₂²⋊D₂₆₉	—	2	2	no	—
397	C₂²⋊D₂₆₉	—	2	2	no	—
398	C₂²⋊D₂₆₉	—	2	2	no	—
399	C₂²⋊D₂₆₉	—	2	2	no	—
400	C₂²⋊D₂₆₉	—	4	1	no	—
401	C₂²⋊D₂₆₉	—	4	1	no	—
402	C₂²⋊D₂₆₉	—	4	1	no	—
403	C₂²⋊D₂₆₉	—	4	1	no	—
404	C₂²⋊D₂₆₉	—	4	1	no	—
405	C₂²⋊D₂₆₉	—	4	1	no	—
406	C₂×Dic₂₆₉	—	2	2	no	—
407	C₂×Dic₂₆₉	—	2	2	no	—
408	C₂×Dic₂₆₉	—	4	1	no	—
409	C₂×Dic₂₆₉	—	4	1	no	—
410	C₂×Dic₂₆₉	—	4	1	no	—
411	C₂×Dic₂₆₉	—	4	1	no	—
412	C₂×Dic₂₆₉	—	4	1	no	—
413	C₂×Dic₂₆₉	C₂⁴	1	1	yes	characteristic
414	C₂×Dic₂₆₉	C₂⁴	1	1	yes	characteristic
415	C₂×Dic₂₆₉	C₂⁴	1	1	yes	characteristic
416	C₂×Dic₂₆₉	C₂⁴	1	1	yes	characteristic
417	C₂×Dic₂₆₉	C₂⁴	1	1	yes	characteristic
418	C₂×Dic₂₆₉	C₂⁴	1	1	yes	characteristic
419	C₂×Dic₂₆₉	C₂⁴	1	1	yes	characteristic
420	C₂×Dic₂₆₉	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₂₆₉	C₂⁴	1	1	yes	characteristic
422	C₂×Dic₂₆₉	C₂⁴	1	1	yes	characteristic
423	C₂×Dic₂₆₉	C₂⁴	1	1	yes	characteristic
424	C₄×D₂₆₉	—	2	2	no	—
425	C₄×D₂₆₉	—	2	2	no	—
426	C₄×D₂₆₉	—	2	2	no	—
427	C₄×D₂₆₉	—	4	1	no	—
428	C₄×D₂₆₉	—	4	1	no	—
429	C₄×D₂₆₉	—	4	1	no	—
430	C₄×D₂₆₉	—	4	1	no	—
431	C₄×D₂₆₉	—	4	1	no	—
432	C₄×D₂₆₉	—	4	1	no	—
433	C₄×D₂₆₉	—	4	1	no	—
434	C₄×D₂₆₉	—	4	1	no	—
435	C₄×D₂₆₉	—	4	1	no	—
436	C₄×D₂₆₉	—	4	1	no	—
437	C₂³×C₂₆₉	—	2	2	no	—
438	C₂³×C₂₆₉	—	2	2	no	—
439	C₂³×C₂₆₉	—	2	2	no	—
440	C₂³×C₂₆₉	—	4	1	no	—
441	C₂³×C₂₆₉	—	4	1	no	—
442	C₂³×C₂₆₉	—	4	1	no	—
443	C₂³×C₂₆₉	C₂⁴	1	1	yes	characteristic
444	C₂³×C₂₆₉	C₂⁴	1	1	yes	characteristic
445	C₂³×C₂₆₉	C₂⁴	1	1	yes	characteristic
446	C₂³×C₂₆₉	C₂⁴	1	1	yes	characteristic
447	C₂³×C₂₆₉	C₂⁴	1	1	yes	characteristic
448	C₂³×C₂₆₉	C₂⁴	1	1	yes	characteristic
449	Q₈×C₂₆₉	—	4	1	no	—
450	D₄×C₂₆₉	—	2	2	no	—
451	D₄×C₂₆₉	—	2	2	no	—
452	D₄×C₂₆₉	—	2	2	no	—
453	D₄×C₂₆₉	—	2	2	no	—
454	D₄×C₂₆₉	—	4	1	no	—
455	D₄×C₂₆₉	—	4	1	no	—
456	D₄×C₂₆₉	—	4	1	no	—
457	D₄×C₂₆₉	—	4	1	no	—
458	D₄×C₂₆₉	—	4	1	no	—
459	C₂×C₄×C₂₆₉	—	2	2	no	—
460	C₂×C₄×C₂₆₉	—	4	1	no	—
461	C₂×C₄×C₂₆₉	—	4	1	no	—
462	C₂×C₄×C₂₆₉	—	4	1	no	—
463	C₂×C₄×C₂₆₉	—	4	1	no	—
464	C₂×C₄×C₂₆₉	—	4	1	no	—
465	C₂×C₄×C₂₆₉	C₂⁴	1	1	yes	characteristic
466	C₂×C₄×C₂₆₉	C₂⁴	1	1	yes	characteristic
467	C₂×C₄×C₂₆₉	C₂⁴	1	1	yes	characteristic
468	C₂×C₄×C₂₆₉	C₂⁴	1	1	yes	characteristic
469	C₂×C₄×C₂₆₉	C₂⁴	1	1	yes	characteristic
470	C₂×C₄×C₂₆₉	C₂⁴	1	1	yes	characteristic
471	C₂×C₄×C₂₆₉	C₂⁴	1	1	yes	characteristic
472	C₂×C₄×C₂₆₉	C₂⁴	1	1	yes	characteristic
473	C₂×C₄×C₂₆₉	C₂⁴	1	1	yes	characteristic
474	C₂²×C₂₆₉	—	2	1	no	—
475	C₂²×C₂₆₉	—	2	1	no	—
476	C₂²×C₂₆₉	—	2	1	no	—
477	C₂²×C₂₆₉	—	2	1	no	—
478	C₂²×C₂₆₉	—	2	1	no	—
479	C₂²×C₂₆₉	—	2	1	no	—
480	C₂²×C₂₆₉	—	2	1	no	—
481	C₂²×C₂₆₉	—	2	1	no	—
482	C₂²×C₂₆₉	—	2	1	no	—
483	C₂²×C₂₆₉	—	2	1	no	—
484	C₂²×C₂₆₉	—	2	1	no	—
485	C₂²×C₂₆₉	—	2	1	no	—
486	C₂²×C₂₆₉	—	2	1	no	—
487	C₂²×C₂₆₉	—	2	1	no	—
488	C₂²×C₂₆₉	—	2	1	no	—
489	C₂²×C₂₆₉	—	2	1	no	—
490	C₂²×C₂₆₉	—	4	4	no	—
491	C₂²×C₂₆₉	—	8	2	no	—
492	C₂²×C₂₆₉	C₂×#41	1	2	yes	—
493	C₂²×C₂₆₉	H(5,𝔽₂)	1	2	yes	—
494	C₂²×C₂₆₉	C₂⁵	1	1	yes	characteristic
495	C₂×D₂₆₉	—	2	8	no	—
496	C₂×D₂₆₉	—	2	1	no	—
497	C₂×D₂₆₉	—	2	1	no	—
498	C₂×D₂₆₉	—	2	1	no	—
499	C₂×D₂₆₉	—	2	1	no	—
500	C₂×D₂₆₉	—	2	1	no	—
501	C₂×D₂₆₉	—	2	1	no	—
502	C₂×D₂₆₉	—	2	1	no	—
503	C₂×D₂₆₉	—	2	1	no	—
504	C₂×D₂₆₉	—	2	1	no	—
505	C₂×D₂₆₉	—	2	1	no	—
506	C₂×D₂₆₉	—	2	1	no	—
507	C₂×D₂₆₉	—	2	1	no	—
508	C₂×D₂₆₉	—	4	4	no	—
509	C₂×D₂₆₉	—	4	4	no	—
510	C₂×D₂₆₉	—	4	4	no	—
511	C₂×D₂₆₉	—	4	4	no	—
512	C₂×D₂₆₉	—	4	4	no	—
513	C₂×D₂₆₉	—	8	2	no	—
514	C₂×D₂₆₉	C₂×#41	1	2	yes	—
515	C₂×D₂₆₉	C₂×#41	1	2	yes	—
516	C₂×D₂₆₉	H(5,𝔽₂)	1	2	yes	—
517	C₄×C₂₆₉	—	2	1	no	—
518	C₄×C₂₆₉	—	2	1	no	—
519	C₄×C₂₆₉	—	2	1	no	—
520	C₄×C₂₆₉	—	2	1	no	—
521	C₄×C₂₆₉	—	2	1	no	—
522	C₄×C₂₆₉	—	2	1	no	—
523	C₄×C₂₆₉	—	2	1	no	—
524	C₄×C₂₆₉	—	2	1	no	—
525	C₄×C₂₆₉	—	2	1	no	—
526	Dic₂₆₉	—	2	1	no	—
527	Dic₂₆₉	—	2	1	no	—
528	Dic₂₆₉	—	2	1	no	—
529	Dic₂₆₉	—	2	1	no	—
530	Dic₂₆₉	—	2	1	no	—
531	Dic₂₆₉	—	2	1	no	—
532	Dic₂₆₉	—	2	1	no	—
533	Dic₂₆₉	—	2	1	no	—
534	Dic₂₆₉	—	2	1	no	—
535	Dic₂₆₉	—	2	1	no	—
536	Dic₂₆₉	—	2	1	no	—
537	C₂×C₂₆₉	—	2	2	no	—
538	C₂×C₂₆₉	—	2	2	no	—
539	C₂×C₂₆₉	—	4	1	no	—
540	C₂×C₂₆₉	—	4	1	no	—
541	C₂×C₂₆₉	—	4	1	no	—
542	C₂×C₂₆₉	—	4	1	no	—
543	C₂×C₂₆₉	C₂²×#41	1	1	yes	characteristic
544	C₂×C₂₆₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
545	C₂×C₂₆₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
546	D₂₆₉	—	2	2	no	—
547	D₂₆₉	—	2	2	no	—
548	D₂₆₉	—	2	2	no	—
549	D₂₆₉	—	4	1	no	—
550	D₂₆₉	—	4	1	no	—
551	C₂₆₉	#3490	1	1	yes	characteristic, complemented, Sylow
552	#3490	—	269	1	no	maximal, Sylow
553	#551	—	269	1	no	—
554	#551	—	269	1	no	—
555	#551	—	269	1	no	—
556	#551	—	269	1	no	—
557	#551	—	269	1	no	—
558	#551	—	269	1	no	—
559	#551	—	269	1	no	—
560	#551	—	269	1	no	—
561	#546	—	269	1	no	—
562	#546	—	269	1	no	—
563	#546	—	269	1	no	—
564	#546	—	269	1	no	—
565	#546	—	269	1	no	—
566	#546	—	269	1	no	—
567	#546	—	269	1	no	—
568	#546	D₂₆₉	1	1	yes	characteristic, complemented
569	#543	—	269	1	no	—
570	#538	—	269	1	no	—
571	#538	—	269	1	no	—
572	#538	—	269	1	no	—
573	#538	—	269	1	no	—
574	#534	—	269	1	no	—
575	#525	—	269	1	no	—
576	#525	—	269	1	no	—
577	#525	—	269	1	no	—
578	#525	—	269	1	no	—
579	C₂×#120	—	269	1	no	—
580	C₂×#120	—	269	1	no	—
581	#518	—	269	1	no	—
582	#518	—	269	1	no	—
583	C₂²×C₂²⋊C₄	—	269	1	no	—
584	C₂⁵	—	269	1	no	—
585	C₂×#41	—	269	1	no	—
586	C₂×#41	—	269	1	no	—
587	C₂×#41	—	269	1	no	—
588	C₂×#41	C₂×D₂₆₉	1	1	yes	characteristic, complemented
589	C₂²×D₄	—	269	1	no	—
590	C₂²×D₄	—	269	1	no	—
591	C₂²×D₄	—	269	1	no	—
592	C₂²×D₄	—	269	1	no	—
593	C₂²×D₄	—	269	1	no	—
594	C₂²×D₄	C₂×D₂₆₉	1	1	yes	characteristic, complemented
595	C₂³×C₄	—	269	1	no	—
596	C₂³×C₄	—	269	1	no	—
597	#126	—	269	1	no	—
598	#126	—	269	1	no	—
599	#126	—	269	1	no	—
600	#126	—	269	1	no	—
601	#126	—	269	1	no	—
602	#126	—	269	1	no	—
603	#126	—	269	1	no	—
604	#126	—	269	1	no	—
605	#124	—	269	1	no	—
606	#124	—	269	1	no	—
607	#124	—	269	1	no	—
608	#124	—	269	1	no	—
609	#124	—	269	1	no	—
610	#124	—	269	1	no	—
611	#124	—	269	1	no	—
612	#124	C₂×D₂₆₉	1	1	yes	characteristic, complemented
613	#123	—	269	1	no	—
614	#123	—	269	1	no	—
615	#123	—	269	1	no	—
616	#123	—	269	1	no	—
617	#123	—	269	1	no	—
618	#123	—	269	1	no	—
619	#123	—	269	1	no	—
620	#123	—	269	1	no	—
621	#123	—	269	1	no	—
622	#123	—	269	1	no	—
623	#123	—	269	1	no	—
624	#123	—	269	1	no	—
625	#123	—	269	1	no	—
626	#123	—	269	1	no	—
627	#123	—	269	1	no	—
628	#123	—	269	1	no	—
629	#123	—	269	1	no	—
630	#123	—	269	1	no	—
631	#123	C₂×D₂₆₉	1	1	yes	characteristic, complemented
632	#123	C₂×D₂₆₉	1	1	yes	characteristic, complemented
633	C₂²⋊Q₈	—	269	1	no	—
634	C₂²⋊Q₈	—	269	1	no	—
635	C₂²⋊Q₈	—	269	1	no	—
636	C₂²⋊Q₈	—	269	1	no	—
637	C₂²⋊Q₈	—	269	1	no	—
638	C₂²⋊Q₈	—	269	1	no	—
639	C₂²⋊Q₈	—	269	1	no	—
640	C₂²⋊Q₈	—	269	1	no	—
641	C₂²⋊Q₈	—	269	1	no	—
642	C₂²⋊Q₈	—	269	1	no	—
643	C₂²⋊Q₈	—	269	1	no	—
644	C₂²⋊Q₈	—	269	1	no	—
645	C₂²⋊Q₈	—	269	1	no	—
646	C₂²⋊Q₈	—	269	1	no	—
647	C₂²⋊Q₈	—	269	1	no	—
648	C₂²⋊Q₈	C₂×D₂₆₉	1	1	yes	characteristic, complemented
649	#121	—	269	1	no	—
650	#121	—	269	1	no	—
651	#121	—	269	1	no	—
652	#121	—	269	1	no	—
653	#121	—	269	1	no	—
654	#121	—	269	1	no	—
655	#121	—	269	1	no	—
656	#121	—	269	1	no	—
657	#121	—	269	1	no	—
658	#121	—	269	1	no	—
659	#121	—	269	1	no	—
660	#121	—	269	1	no	—
661	#121	—	269	1	no	—
662	#121	C₂×D₂₆₉	1	1	yes	characteristic, complemented
663	#121	C₂×D₂₆₉	1	1	yes	characteristic, complemented
664	#121	C₂×D₂₆₉	1	1	yes	characteristic, complemented
665	#120	—	269	1	no	—
666	#120	—	269	1	no	—
667	#120	—	269	1	no	—
668	#120	—	269	1	no	—
669	#120	—	269	1	no	—
670	#120	—	269	1	no	—
671	#120	—	269	1	no	—
672	#120	—	269	1	no	—
673	#120	—	269	1	no	—
674	#120	—	269	1	no	—
675	#120	—	269	1	no	—
676	#120	—	269	1	no	—
677	#120	—	269	1	no	—
678	#120	—	269	1	no	—
679	#120	—	269	1	no	—
680	#120	—	269	1	no	—
681	#120	—	269	1	no	—
682	#120	—	269	1	no	—
683	#120	C₂×D₂₆₉	1	1	yes	characteristic
684	#120	C₂×D₂₆₉	1	1	yes	characteristic, complemented
685	C₄×D₄	—	269	1	no	—
686	C₄×D₄	—	269	1	no	—
687	C₄×D₄	—	269	1	no	—
688	C₄×D₄	—	269	1	no	—
689	C₄×D₄	—	269	1	no	—
690	C₄×D₄	—	269	1	no	—
691	C₄×D₄	—	269	1	no	—
692	C₄×D₄	—	269	1	no	—
693	C₄×D₄	—	269	1	no	—
694	C₄×D₄	—	269	1	no	—
695	C₄×D₄	—	269	1	no	—
696	C₄×D₄	—	269	1	no	—
697	C₄×D₄	—	269	1	no	—
698	C₄×D₄	—	269	1	no	—
699	C₄×D₄	—	269	1	no	—
700	C₄×D₄	—	269	1	no	—
701	C₄×D₄	—	269	1	no	—
702	C₄×D₄	—	269	1	no	—
703	C₄×D₄	—	269	1	no	—
704	C₄×D₄	—	269	1	no	—
705	C₄×D₄	—	269	1	no	—
706	C₄×D₄	—	269	1	no	—
707	C₄×D₄	C₂×D₂₆₉	1	1	yes	characteristic, complemented
708	C₄×D₄	C₂×D₂₆₉	1	1	yes	characteristic, complemented
709	#117	—	269	1	no	—
710	#117	—	269	1	no	—
711	#117	—	269	1	no	—
712	#117	—	269	1	no	—
713	#117	—	269	1	no	—
714	#117	—	269	1	no	—
715	#117	—	269	1	no	—
716	#117	—	269	1	no	—
717	C₂×C₂²⋊C₄	—	269	1	no	—
718	C₂×C₂²⋊C₄	—	269	1	no	—
719	C₂×C₂²⋊C₄	—	269	1	no	—
720	C₂×C₂²⋊C₄	—	269	1	no	—
721	C₂×C₂²⋊C₄	—	269	1	no	—
722	C₂×C₂²⋊C₄	—	269	1	no	—
723	C₂×C₂²⋊C₄	—	269	1	no	—
724	C₂×C₂²⋊C₄	—	269	1	no	—
725	C₂×C₂²⋊C₄	—	269	1	no	—
726	C₂×C₂²⋊C₄	—	269	1	no	—
727	C₂×C₂²⋊C₄	—	269	1	no	—
728	C₂×C₂²⋊C₄	—	269	1	no	—
729	C₂×C₂²⋊C₄	—	269	1	no	—
730	C₂×C₂²⋊C₄	—	269	1	no	—
731	C₂×C₂²⋊C₄	—	269	1	no	—
732	C₂×C₂²⋊C₄	—	269	1	no	—
733	C₂×C₂²⋊C₄	—	269	1	no	—
734	C₂×C₂²⋊C₄	—	269	1	no	—
735	C₂×C₂²⋊C₄	—	269	1	no	—
736	C₂×C₂²⋊C₄	—	269	1	no	—
737	C₂×C₂²⋊C₄	C₂×D₂₆₉	1	1	yes	characteristic, complemented
738	C₂×C₂²⋊C₄	C₂×D₂₆₉	1	1	yes	characteristic, complemented
739	C₂⁴	—	269	1	no	—
740	C₂⁴	—	269	1	no	—
741	C₂⁴	—	269	1	no	—
742	C₂⁴	—	269	1	no	—
743	C₂⁴	—	269	1	no	—
744	C₂⁴	—	269	1	no	—
745	C₂⁴	—	269	1	no	—
746	C₂⁴	—	538	4	no	—
747	C₂⁴	—	1076	2	no	—
748	C₂⁴	—	1076	2	no	—
749	C₂⁴	C₂²×D₂₆₉	1	1	yes	characteristic
750	C₂⁴	C₂²×D₂₆₉	1	1	yes	characteristic
751	#41	—	4	2	no	—
752	#41	—	1076	2	no	—
753	#41	—	1076	2	no	—
754	#41	—	1076	2	no	—
755	C₂×Q₈	—	269	1	no	—
756	C₂×Q₈	—	269	1	no	—
757	C₂×Q₈	—	269	1	no	—
758	C₂×Q₈	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
759	C₂×D₄	—	4	2	no	—
760	C₂×D₄	—	269	1	no	—
761	C₂×D₄	—	269	1	no	—
762	C₂×D₄	—	269	1	no	—
763	C₂×D₄	—	269	1	no	—
764	C₂×D₄	—	269	1	no	—
765	C₂×D₄	—	269	1	no	—
766	C₂×D₄	—	269	1	no	—
767	C₂×D₄	—	269	1	no	—
768	C₂×D₄	—	269	1	no	—
769	C₂×D₄	—	269	1	no	—
770	C₂×D₄	—	269	1	no	—
771	C₂×D₄	—	269	1	no	—
772	C₂×D₄	—	269	1	no	—
773	C₂×D₄	—	269	1	no	—
774	C₂×D₄	—	269	1	no	—
775	C₂×D₄	—	269	1	no	—
776	C₂×D₄	—	269	1	no	—
777	C₂×D₄	—	269	1	no	—
778	C₂×D₄	—	269	1	no	—
779	C₂×D₄	—	538	4	no	—
780	C₂×D₄	—	538	4	no	—
781	C₂×D₄	—	1076	2	no	—
782	C₂×D₄	—	1076	2	no	—
783	C₂×D₄	—	1076	2	no	—
784	C₂×D₄	C₂²×D₂₆₉	1	1	yes	characteristic
785	C₂×D₄	C₂²×D₂₆₉	1	1	yes	characteristic
786	C₂×D₄	C₂²×D₂₆₉	1	1	yes	characteristic
787	C₂×D₄	C₂²×D₂₆₉	1	1	yes	characteristic
788	C₂×D₄	C₂²×D₂₆₉	1	1	yes	characteristic
789	C₂×D₄	C₂²×D₂₆₉	1	1	yes	characteristic
790	C₂×D₄	C₂²×D₂₆₉	1	1	yes	characteristic
791	C₂×D₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
792	C₂×D₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
793	C₂²×C₄	—	269	1	no	—
794	C₂²×C₄	—	269	1	no	—
795	C₂²×C₄	—	269	1	no	—
796	C₂²×C₄	—	269	1	no	—
797	C₂²×C₄	—	269	1	no	—
798	C₂²×C₄	—	269	1	no	—
799	C₂²×C₄	—	269	1	no	—
800	C₂²×C₄	—	269	1	no	—
801	C₂²×C₄	—	269	1	no	—
802	C₂²×C₄	—	269	1	no	—
803	C₂²×C₄	—	269	1	no	—
804	C₂²×C₄	—	269	1	no	—
805	C₂²×C₄	—	269	1	no	—
806	C₂²×C₄	—	269	1	no	—
807	C₂²×C₄	—	269	1	no	—
808	C₂²×C₄	—	269	1	no	—
809	C₂²×C₄	—	269	1	no	—
810	C₂²×C₄	—	269	1	no	—
811	C₂²×C₄	—	269	1	no	—
812	C₂²×C₄	—	269	1	no	—
813	C₂²×C₄	—	1076	2	no	—
814	C₂²×C₄	—	1076	2	no	—
815	C₂²×C₄	C₂²×D₂₆₉	1	1	yes	characteristic
816	C₂²×C₄	C₂²×D₂₆₉	1	1	yes	characteristic
817	C₂²×C₄	C₂²×D₂₆₉	1	1	yes	characteristic
818	C₂²×C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
819	C₂²×C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
820	C₂²×C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
821	C₄⋊C₄	—	269	1	no	—
822	C₄⋊C₄	—	269	1	no	—
823	C₄⋊C₄	—	269	1	no	—
824	C₄⋊C₄	—	269	1	no	—
825	C₄⋊C₄	—	269	1	no	—
826	C₄⋊C₄	—	269	1	no	—
827	C₄⋊C₄	—	269	1	no	—
828	C₄⋊C₄	—	269	1	no	—
829	C₄⋊C₄	—	269	1	no	—
830	C₄⋊C₄	—	269	1	no	—
831	C₄⋊C₄	—	269	1	no	—
832	C₄⋊C₄	—	269	1	no	—
833	C₄⋊C₄	—	269	1	no	—
834	C₄⋊C₄	—	269	1	no	—
835	C₄⋊C₄	—	269	1	no	—
836	C₄⋊C₄	—	269	1	no	—
837	C₄⋊C₄	—	269	1	no	—
838	C₄⋊C₄	—	269	1	no	—
839	C₄⋊C₄	—	269	1	no	—
840	C₄⋊C₄	—	269	1	no	—
841	C₄⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
842	C₄⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
843	C₄⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
844	C₄⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
845	C₂²⋊C₄	—	269	1	no	—
846	C₂²⋊C₄	—	269	1	no	—
847	C₂²⋊C₄	—	269	1	no	—
848	C₂²⋊C₄	—	269	1	no	—
849	C₂²⋊C₄	—	269	1	no	—
850	C₂²⋊C₄	—	269	1	no	—
851	C₂²⋊C₄	—	269	1	no	—
852	C₂²⋊C₄	—	269	1	no	—
853	C₂²⋊C₄	—	269	1	no	—
854	C₂²⋊C₄	—	269	1	no	—
855	C₂²⋊C₄	—	269	1	no	—
856	C₂²⋊C₄	—	269	1	no	—
857	C₂²⋊C₄	—	269	1	no	—
858	C₂²⋊C₄	—	269	1	no	—
859	C₂²⋊C₄	—	269	1	no	—
860	C₂²⋊C₄	—	269	1	no	—
861	C₂²⋊C₄	—	269	1	no	—
862	C₂²⋊C₄	—	269	1	no	—
863	C₂²⋊C₄	—	269	1	no	—
864	C₂²⋊C₄	—	269	1	no	—
865	C₂²⋊C₄	—	269	1	no	—
866	C₂²⋊C₄	—	269	1	no	—
867	C₂²⋊C₄	—	269	1	no	—
868	C₂²⋊C₄	—	269	1	no	—
869	C₂²⋊C₄	—	269	1	no	—
870	C₂²⋊C₄	—	269	1	no	—
871	C₂²⋊C₄	—	269	1	no	—
872	C₂²⋊C₄	—	269	1	no	—
873	C₂²⋊C₄	—	269	1	no	—
874	C₂²⋊C₄	—	269	1	no	—
875	C₂²⋊C₄	—	269	1	no	—
876	C₂²⋊C₄	—	269	1	no	—
877	C₂²⋊C₄	—	269	1	no	—
878	C₂²⋊C₄	—	269	1	no	—
879	C₂²⋊C₄	—	269	1	no	—
880	C₂²⋊C₄	—	269	1	no	—
881	C₂²⋊C₄	—	269	1	no	—
882	C₂²⋊C₄	—	269	1	no	—
883	C₂²⋊C₄	—	269	1	no	—
884	C₂²⋊C₄	—	269	1	no	—
885	C₂²⋊C₄	—	269	1	no	—
886	C₂²⋊C₄	—	269	1	no	—
887	C₂²⋊C₄	—	269	1	no	—
888	C₂²⋊C₄	—	269	1	no	—
889	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic
890	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic
891	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic
892	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic
893	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic
894	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic
895	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic
896	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
897	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
898	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
899	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
900	C₂²⋊C₄	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
901	C₄²	—	269	1	no	—
902	C₄²	—	269	1	no	—
903	C₄²	—	269	1	no	—
904	C₄²	—	269	1	no	—
905	C₄²	—	269	1	no	—
906	C₄²	—	269	1	no	—
907	C₄²	—	269	1	no	—
908	C₄²	C₂²×D₂₆₉	1	1	yes	characteristic, complemented
909	C₂³	—	2	2	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	2	2	no	—
912	C₂³	—	4	1	no	—
913	C₂³	—	4	1	no	—
914	C₂³	—	4	1	no	—
915	C₂³	—	269	1	no	—
916	C₂³	—	269	1	no	—
917	C₂³	—	269	1	no	—
918	C₂³	—	269	4	no	—
919	C₂³	—	269	1	no	—
920	C₂³	—	269	1	no	—
921	C₂³	—	538	2	no	—
922	C₂³	—	538	2	no	—
923	C₂³	—	538	2	no	—
924	C₂³	—	538	2	no	—
925	C₂³	—	538	2	no	—
926	C₂³	—	538	2	no	—
927	C₂³	—	538	2	no	—
928	C₂³	—	538	2	no	—
929	C₂³	—	538	2	no	—
930	C₂³	—	538	2	no	—
931	C₂³	—	538	2	no	—
932	C₂³	—	1076	1	no	—
933	C₂³	—	1076	1	no	—
934	C₂³	—	1076	1	no	—
935	C₂³	—	1076	1	no	—
936	C₂³	—	1076	1	no	—
937	C₂³	—	1076	1	no	—
938	C₂³	—	1076	1	no	—
939	C₂³	—	1076	1	no	—
940	C₂³	—	1076	1	no	—
941	C₂³	—	1076	16	no	—
942	C₂³	C₂³×D₂₆₉	1	1	yes	characteristic
943	C₂³	C₂³×D₂₆₉	1	1	yes	characteristic
944	C₂³	C₂³×D₂₆₉	1	1	yes	characteristic
945	C₂³	C₂³×D₂₆₉	1	1	yes	characteristic
946	C₂³	C₂³×D₂₆₉	1	1	yes	characteristic
947	C₂³	C₂³×D₂₆₉	1	1	yes	characteristic
948	Q₈	—	4	1	no	—
949	Q₈	—	1076	1	no	—
950	Q₈	—	1076	1	no	—
951	Q₈	—	1076	1	no	—
952	D₄	—	2	2	no	—
953	D₄	—	2	2	no	—
954	D₄	—	2	2	no	—
955	D₄	—	2	2	no	—
956	D₄	—	4	1	no	—
957	D₄	—	4	1	no	—
958	D₄	—	4	1	no	—
959	D₄	—	4	1	no	—
960	D₄	—	4	1	no	—
961	D₄	—	538	2	no	—
962	D₄	—	538	2	no	—
963	D₄	—	538	2	no	—
964	D₄	—	538	2	no	—
965	D₄	—	538	2	no	—
966	D₄	—	538	2	no	—
967	D₄	—	538	2	no	—
968	D₄	—	538	2	no	—
969	D₄	—	538	2	no	—
970	D₄	—	538	2	no	—
971	D₄	—	538	2	no	—
972	D₄	—	538	2	no	—
973	D₄	—	1076	1	no	—
974	D₄	—	1076	1	no	—
975	D₄	—	1076	1	no	—
976	D₄	—	1076	1	no	—
977	D₄	—	1076	1	no	—
978	D₄	—	1076	1	no	—
979	D₄	—	1076	1	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	4	1	no	—
982	C₂×C₄	—	4	1	no	—
983	C₂×C₄	—	4	1	no	—
984	C₂×C₄	—	4	1	no	—
985	C₂×C₄	—	4	1	no	—
986	C₂×C₄	—	269	1	no	—
987	C₂×C₄	—	269	1	no	—
988	C₂×C₄	—	269	1	no	—
989	C₂×C₄	—	269	1	no	—
990	C₂×C₄	—	269	1	no	—
991	C₂×C₄	—	269	1	no	—
992	C₂×C₄	—	269	1	no	—
993	C₂×C₄	—	269	1	no	—
994	C₂×C₄	—	269	1	no	—
995	C₂×C₄	—	269	1	no	—
996	C₂×C₄	—	269	1	no	—
997	C₂×C₄	—	538	2	no	—
998	C₂×C₄	—	538	2	no	—
999	C₂×C₄	—	538	2	no	—
1000	C₂×C₄	—	538	2	no	—
1001	C₂×C₄	—	538	2	no	—
1002	C₂×C₄	—	1076	1	no	—
1003	C₂×C₄	—	1076	1	no	—
1004	C₂×C₄	—	1076	1	no	—
1005	C₂×C₄	—	1076	1	no	—
1006	C₂×C₄	—	1076	1	no	—
1007	C₂×C₄	—	1076	1	no	—
1008	C₂×C₄	—	1076	1	no	—
1009	C₂×C₄	—	1076	1	no	—
1010	C₂×C₄	—	1076	1	no	—
1011	C₂×C₄	—	1076	1	no	—
1012	C₂×C₄	—	1076	1	no	—
1013	C₂×C₄	—	1076	1	no	—
1014	C₂×C₄	—	1076	1	no	—
1015	C₂×C₄	—	1076	1	no	—
1016	C₂×C₄	—	1076	1	no	—
1017	C₂×C₄	C₂³×D₂₆₉	1	1	yes	characteristic
1018	C₂×C₄	C₂³×D₂₆₉	1	1	yes	characteristic
1019	C₂×C₄	C₂³×D₂₆₉	1	1	yes	characteristic
1020	C₂×C₄	C₂³×D₂₆₉	1	1	yes	characteristic
1021	C₂×C₄	C₂³×D₂₆₉	1	1	yes	characteristic
1022	C₂×C₄	C₂³×D₂₆₉	1	1	yes	characteristic
1023	C₂×C₄	C₂³×D₂₆₉	1	1	yes	characteristic
1024	C₂×C₄	C₂³×D₂₆₉	1	1	yes	characteristic
1025	C₂×C₄	C₂³×D₂₆₉	1	1	yes	characteristic
1026	C₂²	—	2	1	no	—
1027	C₂²	—	2	1	no	—
1028	C₂²	—	2	1	no	—
1029	C₂²	—	2	1	no	—
1030	C₂²	—	2	1	no	—
1031	C₂²	—	2	1	no	—
1032	C₂²	—	2	1	no	—
1033	C₂²	—	2	1	no	—
1034	C₂²	—	2	1	no	—
1035	C₂²	—	2	1	no	—
1036	C₂²	—	2	1	no	—
1037	C₂²	—	2	1	no	—
1038	C₂²	—	2	1	no	—
1039	C₂²	—	2	1	no	—
1040	C₂²	—	2	1	no	—
1041	C₂²	—	2	1	no	—
1042	C₂²	—	4	4	no	—
1043	C₂²	—	8	2	no	—
1044	C₂²	—	269	2	no	—
1045	C₂²	—	269	2	no	—
1046	C₂²	—	269	2	no	—
1047	C₂²	—	538	8	no	—
1048	C₂²	—	538	1	no	—
1049	C₂²	—	538	1	no	—
1050	C₂²	—	538	1	no	—
1051	C₂²	—	538	1	no	—
1052	C₂²	—	538	1	no	—
1053	C₂²	—	538	1	no	—
1054	C₂²	—	538	1	no	—
1055	C₂²	—	538	1	no	—
1056	C₂²	—	538	1	no	—
1057	C₂²	—	538	1	no	—
1058	C₂²	—	538	1	no	—
1059	C₂²	—	538	1	no	—
1060	C₂²	—	1076	4	no	—
1061	C₂²	—	1076	4	no	—
1062	C₂²	—	1076	4	no	—
1063	C₂²	—	1076	4	no	—
1064	C₂²	—	1076	4	no	—
1065	C₂²	—	2152	2	no	—
1066	C₂²	#41×D₂₆₉	1	2	yes	—
1067	C₂²	#22575498	1	2	yes	—
1068	C₂²	C₂⁴×D₂₆₉	1	1	yes	characteristic
1069	C₄	—	2	1	no	—
1070	C₄	—	2	1	no	—
1071	C₄	—	2	1	no	—
1072	C₄	—	2	1	no	—
1073	C₄	—	2	1	no	—
1074	C₄	—	2	1	no	—
1075	C₄	—	2	1	no	—
1076	C₄	—	2	1	no	—
1077	C₄	—	2	1	no	—
1078	C₄	—	538	1	no	—
1079	C₄	—	538	1	no	—
1080	C₄	—	538	1	no	—
1081	C₄	—	538	1	no	—
1082	C₄	—	538	1	no	—
1083	C₄	—	538	1	no	—
1084	C₄	—	538	1	no	—
1085	C₄	—	538	1	no	—
1086	C₄	—	538	1	no	—
1087	C₄	—	538	1	no	—
1088	C₄	—	538	1	no	—
1089	C₂	—	2	2	no	—
1090	C₂	—	2	2	no	—
1091	C₂	—	4	1	no	—
1092	C₂	—	4	1	no	—
1093	C₂	—	4	1	no	—
1094	C₂	—	4	1	no	—
1095	C₂	—	538	2	no	—
1096	C₂	—	538	2	no	—
1097	C₂	—	538	2	no	—
1098	C₂	—	1076	1	no	—
1099	C₂	—	1076	1	no	—
1100	C₂	C₂×#41×D₂₆₉	1	1	yes	characteristic
1101	C₂	H(5,𝔽₂)×D₂₆₉	1	1	yes	characteristic
1102	C₂	C₂×#22575498	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₂₆₉
commutator, socle, cosocle	C₂²×C₂₆₉	C₂⁵
Fitting	#546×C₂₆₉	C₂
hypercenter	#546	D₂₆₉
hypocenter	C₂₆₉	#3490
LCS	G ▷ C₂²×C₂₆₉ ▷ C₂₆₉
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. #31771286	C₂	semidirect
2. #31771285	C₂	semidirect
3. #31771284	C₂	semidirect
4. #31771284	C₂	semidirect
5. #31771283	C₂	semidirect
6. #31771282	C₂	semidirect
7. #31771281	C₂	semidirect
8. #31771278	C₂	semidirect
9. #31771252	C₂	semidirect
10. #31771249	C₂	semidirect
11. #31771245	C₂	semidirect
12. #31771244	C₂	semidirect
13. #31771244	C₂	semidirect
14. #31771243	C₂	semidirect
15. #31771242	C₂	semidirect
16. #31771230	C₂	semidirect
17. #31771191	C₂	semidirect
18. #31771189	C₂	semidirect
19. #31771187	C₂	semidirect
20. #31771187	C₂	semidirect
21. #31771165	C₂	semidirect
22. #31771115	C₂	semidirect
23. #31771114	C₂	semidirect
24. #31771113	C₂	semidirect
25. #31771112	C₂	semidirect
26. C₂×#22575421	C₂	semidirect
27. #120×D₂₆₉	C₂	semidirect
28. #31771078	C₂	semidirect
29. #31771077	C₂	semidirect
30. C₂×C₂²⋊C₄×D₂₆₉	C₂	semidirect
31. #546×C₂₆₉	C₂	semidirect
33. C₂×#16864402	C₂²	semidirect
34. C₂×#16864401	C₂²	semidirect
35. C₂×#16864401	C₂²	semidirect
37. C₂²×C₂²⋊D₂₆₉	C₂²	semidirect
39. C₂×D₄×D₂₆₉	C₂²	semidirect
40. C₂×D₄×D₂₆₉	C₂²	semidirect
41. C₂²×C₄×D₂₆₉	C₂²	semidirect
42. C₂²×C₄×D₂₆₉	C₂²	semidirect
43. #22575448	C₂²	semidirect
44. #22575448	C₂²	semidirect
45. #22575448	C₂²	semidirect
46. #22575447	C₂²	semidirect
47. #22575446	C₂²	semidirect
48. #22575446	C₂²	semidirect
49. #22575446	C₂²	semidirect
50. #22575446	C₂²	semidirect
51. #22575442	C₂²	semidirect
52. #22575440	C₂²	semidirect
53. #22575440	C₂²	semidirect
54. #22575439	C₂²	semidirect
55. #22575439	C₂²	semidirect
56. #22575439	C₂²	semidirect
57. #22575439	C₂²	semidirect
58. #22575438	C₂²	semidirect
59. #22575438	C₂²	semidirect
60. #22575437	C₂²	semidirect
61. #22575437	C₂²	semidirect
62. #22575436	C₂²	semidirect
63. #22575436	C₂²	semidirect
64. #22575436	C₂²	semidirect
65. #22575435	C₂²	semidirect
66. #22575435	C₂²	semidirect
67. #22575435	C₂²	semidirect
68. #22575435	C₂²	semidirect
69. #22575435	C₂²	semidirect
70. #22575435	C₂²	semidirect
71. #22575434	C₂²	semidirect
72. #22575434	C₂²	semidirect
73. #22575434	C₂²	semidirect
74. #22575434	C₂²	semidirect
75. #22575434	C₂²	semidirect
76. #22575433	C₂²	semidirect
77. #22575433	C₂²	semidirect
78. #22575432	C₂²	semidirect
79. #22575432	C₂²	semidirect
80. #22575431	C₂²	semidirect
81. #22575431	C₂²	semidirect
82. #22575431	C₂²	semidirect
83. #22575431	C₂²	semidirect
84. #22575431	C₂²	semidirect
85. #22575430	C₂²	semidirect
86. #22575430	C₂²	semidirect
87. #22575430	C₂²	semidirect
88. #22575429	C₂²	semidirect
89. #22575429	C₂²	semidirect
90. #22575429	C₂²	semidirect
91. #22575427	C₂²	semidirect
92. #22575426	C₂²	semidirect
93. #22575426	C₂²	semidirect
94. #22575426	C₂²	semidirect
95. #22575426	C₂²	semidirect
96. #22575425	C₂²	semidirect
97. #22575425	C₂²	semidirect
98. #22575425	C₂²	semidirect
99. #22575425	C₂²	semidirect
100. #22575424	C₂²	semidirect
101. #22575424	C₂²	semidirect
102. #22575424	C₂²	semidirect
103. #22575424	C₂²	semidirect
105. #22575423	C₂²	semidirect
106. #22575423	C₂²	semidirect
108. #22575422	C₂²	semidirect
114. #22575421	C₂²	semidirect
115. #22575421	C₂²	semidirect
116. #22575421	C₂²	semidirect
117. #22575421	C₂²	semidirect
118. #22575421	C₂²	semidirect
119. #22575421	C₂²	semidirect
120. #22575421	C₂²	semidirect
121. #22575421	C₂²	semidirect
122. C₄×D₁₀₇₆	C₂²	semidirect
123. D₄×Dic₂₆₉	C₂²	semidirect
124. D₄×Dic₂₆₉	C₂²	semidirect
125. D₄×Dic₂₆₉	C₂²	semidirect
126. #22575415	C₂²	semidirect
127. #22575415	C₂²	semidirect
128. C₄×C₂²⋊D₂₆₉	C₂²	semidirect
129. C₄×C₂²⋊D₂₆₉	C₂²	semidirect
130. C₄×C₂²⋊D₂₆₉	C₂²	semidirect
131. C₄×C₂²⋊D₂₆₉	C₂²	semidirect
132. C₄×C₂²⋊D₂₆₉	C₂²	semidirect
133. C₄×C₂²⋊D₂₆₉	C₂²	semidirect
134. C₄×C₂²⋊D₂₆₉	C₂²	semidirect
135. C₄×C₂²⋊D₂₆₉	C₂²	semidirect
136. C₄×C₂²⋊D₂₆₉	C₂²	semidirect
137. #22575413	C₂²	semidirect
138. #22575413	C₂²	semidirect
139. #22575413	C₂²	semidirect
140. #22575413	C₂²	semidirect
141. #22575413	C₂²	semidirect
142. #22575413	C₂²	semidirect
143. #22575413	C₂²	semidirect
144. #22575412	C₂²	semidirect
145. #22575411	C₂²	semidirect
146. #22575411	C₂²	semidirect
147. #22575410	C₂²	semidirect
148. #22575410	C₂²	semidirect
149. #22575409	C₂²	semidirect
150. #22575409	C₂²	semidirect
151. #22575409	C₂²	semidirect
152. C₂×C₂²⋊Dic₂₆₉	C₂²	semidirect
153. C₂×C₂²⋊Dic₂₆₉	C₂²	semidirect
154. C₂×C₂²⋊Dic₂₆₉	C₂²	semidirect
156. C₂×#16864379	C₂²	semidirect
157. C₂×#16864379	C₂²	semidirect
158. C₂×#16864379	C₂²	semidirect
159. C₂×#16864379	C₂²	semidirect
163. C₂²⋊C₄×D₂₆₉	C₂²	semidirect
164. C₂²⋊C₄×D₂₆₉	C₂²	semidirect
165. C₂²⋊C₄×D₂₆₉	C₂²	semidirect
166. C₂²⋊C₄×D₂₆₉	C₂²	semidirect
167. C₂²⋊C₄×D₂₆₉	C₂²	semidirect
168. C₂²⋊C₄×D₂₆₉	C₂²	semidirect
169. C₂²⋊C₄×D₂₆₉	C₂²	semidirect
170. C₂²⋊C₄×D₂₆₉	C₂²	semidirect
171. C₂²⋊C₄×D₂₆₉	C₂²	semidirect
172. C₂×#41×C₂₆₉	C₂²	semidirect
173. C₂²×D₄×C₂₆₉	C₂²	semidirect
174. #124×C₂₆₉	C₂²	semidirect
175. #123×C₂₆₉	C₂²	semidirect
176. #123×C₂₆₉	C₂²	semidirect
177. C₂²⋊Q₈×C₂₆₉	C₂²	semidirect
178. #121×C₂₆₉	C₂²	semidirect
179. #121×C₂₆₉	C₂²	semidirect
180. #121×C₂₆₉	C₂²	semidirect
182. #120×C₂₆₉	C₂²	semidirect
183. C₄×D₄×C₂₆₉	C₂²	semidirect
184. C₄×D₄×C₂₆₉	C₂²	semidirect
185. C₂×C₂²⋊C₄×C₂₆₉	C₂²	semidirect
186. C₂×C₂²⋊C₄×C₂₆₉	C₂²	semidirect
200. C₂×Dic₅₃₈	C₂³	semidirect
201. C₂×Dic₅₃₈	C₂³	semidirect
202. C₂×Dic₅₃₈	C₂³	semidirect
222. C₂×C₂²⋊D₂₆₉	C₂³	semidirect
223. C₂×C₂²⋊D₂₆₉	C₂³	semidirect
231. C₂²×Dic₂₆₉	C₂³	semidirect
232. C₂²×Dic₂₆₉	C₂³	semidirect
233. C₂²×Dic₂₆₉	C₂³	semidirect
247. C₂×C₄×D₂₆₉	C₂³	semidirect
248. C₂×C₄×D₂₆₉	C₂³	semidirect
249. C₄⋊Dic₂₆₉	C₂³	semidirect
250. C₄⋊Dic₂₆₉	C₂³	semidirect
251. C₄⋊Dic₂₆₉	C₂³	semidirect
252. C₄⋊Dic₂₆₉	C₂³	semidirect
253. C₄⋊Dic₂₆₉	C₂³	semidirect
254. C₄⋊Dic₂₆₉	C₂³	semidirect
255. #16864381	C₂³	semidirect
256. #16864381	C₂³	semidirect
257. #16864381	C₂³	semidirect
258. #16864381	C₂³	semidirect
259. #16864381	C₂³	semidirect
260. #16864381	C₂³	semidirect
261. #16864381	C₂³	semidirect
262. #16864381	C₂³	semidirect
263. #16864381	C₂³	semidirect
264. #16864381	C₂³	semidirect
265. #16864381	C₂³	semidirect
266. #16864381	C₂³	semidirect
267. #16864381	C₂³	semidirect
268. #16864381	C₂³	semidirect
280. C₂²⋊Dic₂₆₉	C₂³	semidirect
281. C₂²⋊Dic₂₆₉	C₂³	semidirect
282. C₂²⋊Dic₂₆₉	C₂³	semidirect
283. C₂²⋊Dic₂₆₉	C₂³	semidirect
284. C₂²⋊Dic₂₆₉	C₂³	semidirect
285. C₂²⋊Dic₂₆₉	C₂³	semidirect
286. C₂²⋊Dic₂₆₉	C₂³	semidirect
309. #16864379	C₂³	semidirect
310. #16864379	C₂³	semidirect
311. #16864379	C₂³	semidirect
312. #16864379	C₂³	semidirect
313. C₄×Dic₂₆₉	C₂³	semidirect
314. C₄×Dic₂₆₉	C₂³	semidirect
315. C₄×Dic₂₆₉	C₂³	semidirect
316. C₄×Dic₂₆₉	C₂³	semidirect
317. C₄×Dic₂₆₉	C₂³	semidirect
318. C₄×Dic₂₆₉	C₂³	semidirect
319. C₄×Dic₂₆₉	C₂³	semidirect
323. C₂×Q₈×C₂₆₉	C₂³	semidirect
332. C₂×D₄×C₂₆₉	C₂³	semidirect
333. C₂×D₄×C₂₆₉	C₂³	semidirect
337. C₂²×C₄×C₂₆₉	C₂³	semidirect
338. C₂²×C₄×C₂₆₉	C₂³	semidirect
339. C₂²×C₄×C₂₆₉	C₂³	semidirect
340. C₄⋊C₄×C₂₆₉	C₂³	semidirect
341. C₄⋊C₄×C₂₆₉	C₂³	semidirect
342. C₄⋊C₄×C₂₆₉	C₂³	semidirect
343. C₄⋊C₄×C₂₆₉	C₂³	semidirect
351. C₂²⋊C₄×C₂₆₉	C₂³	semidirect
352. C₂²⋊C₄×C₂₆₉	C₂³	semidirect
353. C₂²⋊C₄×C₂₆₉	C₂³	semidirect
354. C₂²⋊C₄×C₂₆₉	C₂³	semidirect
355. C₂²⋊C₄×C₂₆₉	C₂³	semidirect
356. C₄²×C₂₆₉	C₂³	semidirect
378. C₂²×D₂₆₉	#41	semidirect
551. C₂₆₉	#3490	semidirect
568. #546	D₂₆₉	semidirect
588. C₂×#41	C₂×D₂₆₉	semidirect
594. C₂²×D₄	C₂×D₂₆₉	semidirect
612. #124	C₂×D₂₆₉	semidirect
631. #123	C₂×D₂₆₉	semidirect
632. #123	C₂×D₂₆₉	semidirect
648. C₂²⋊Q₈	C₂×D₂₆₉	semidirect
662. #121	C₂×D₂₆₉	semidirect
663. #121	C₂×D₂₆₉	semidirect
664. #121	C₂×D₂₆₉	semidirect
684. #120	C₂×D₂₆₉	semidirect
707. C₄×D₄	C₂×D₂₆₉	semidirect
708. C₄×D₄	C₂×D₂₆₉	semidirect
737. C₂×C₂²⋊C₄	C₂×D₂₆₉	semidirect
738. C₂×C₂²⋊C₄	C₂×D₂₆₉	semidirect
758. C₂×Q₈	C₂²×D₂₆₉	semidirect
791. C₂×D₄	C₂²×D₂₆₉	semidirect
792. C₂×D₄	C₂²×D₂₆₉	semidirect
818. C₂²×C₄	C₂²×D₂₆₉	semidirect
819. C₂²×C₄	C₂²×D₂₆₉	semidirect
820. C₂²×C₄	C₂²×D₂₆₉	semidirect
841. C₄⋊C₄	C₂²×D₂₆₉	semidirect
842. C₄⋊C₄	C₂²×D₂₆₉	semidirect
843. C₄⋊C₄	C₂²×D₂₆₉	semidirect
844. C₄⋊C₄	C₂²×D₂₆₉	semidirect
896. C₂²⋊C₄	C₂²×D₂₆₉	semidirect
897. C₂²⋊C₄	C₂²×D₂₆₉	semidirect
898. C₂²⋊C₄	C₂²×D₂₆₉	semidirect
899. C₂²⋊C₄	C₂²×D₂₆₉	semidirect
900. C₂²⋊C₄	C₂²×D₂₆₉	semidirect
908. C₄²	C₂²×D₂₆₉	semidirect

Maximal subgroups

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

subgroup	index
#31771286	2
#31771285	2
#31771284	2
#31771283	2
#31771282	2
#31771281	2
#31771278	2
#31771252	2
#31771249	2
#31771245	2
#31771244	2
#31771243	2
#31771242	2
#31771230	2
#31771191	2
#31771189	2
#31771187	2
#31771165	2
#31771115	2
#31771114	2
#31771113	2
#31771112	2
C₂×#22575421	2
#120×D₂₆₉	2
#31771078	2
#31771077	2
C₂×C₂²⋊C₄×D₂₆₉	2
#546×C₂₆₉	2
#3490	269