Subgroups — #30652922

Order 16256.

1166 conjugacy classes of subgroups.

The subgroup lattice has 1082 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22550622	C₂	1	1	yes	maximal, characteristic, complemented
2	#22550616	C₂	1	1	yes	maximal, characteristic, complemented
3	#22550614	C₂	1	1	yes	maximal, characteristic, complemented
4	#22550579	C₂	1	1	yes	maximal, characteristic, complemented
5	#22550571	C₂	1	1	yes	maximal, characteristic, complemented
6	#22550554	C₂	1	1	yes	maximal, characteristic, complemented
7	#22550553	C₂	1	1	yes	maximal, characteristic, complemented
8	#22550523	C₂	1	1	yes	maximal, characteristic, complemented
9	#22550519	C₂	1	1	yes	maximal, characteristic, complemented
10	#22550519	C₂	1	1	yes	maximal, characteristic, complemented
11	#22550518	C₂	1	1	yes	maximal, characteristic, complemented
12	#22550517	C₂	1	1	yes	maximal, characteristic, complemented
13	#22550517	C₂	1	1	yes	maximal, characteristic, complemented
14	#22550510	C₂	1	1	yes	maximal, characteristic, complemented
15	#22550510	C₂	1	1	yes	maximal, characteristic, complemented
16	#22550478	C₂	1	1	yes	maximal, characteristic, complemented
17	#22550476	C₂	1	1	yes	maximal, characteristic, complemented
18	#22550474	C₂	1	1	yes	maximal, characteristic, complemented
19	#22550472	C₂	1	1	yes	maximal, characteristic, complemented
20	#22550472	C₂	1	1	yes	maximal, characteristic, complemented
21	#22550460	C₂	1	1	yes	maximal, characteristic, complemented
22	#22550460	C₂	1	1	yes	maximal, characteristic, complemented
23	#22550458	C₂	1	1	yes	maximal, characteristic, complemented
24	#22550456	C₂	1	1	yes	maximal, characteristic, complemented
25	#22550437	C₂	1	1	yes	maximal, characteristic, complemented
26	#22550437	C₂	1	1	yes	maximal, characteristic, complemented
27	#22550434	C₂	1	1	yes	maximal, characteristic, complemented
28	#22550389	C₂	1	1	yes	maximal, characteristic, complemented
29	#123×D₁₂₇	C₂	1	1	yes	maximal, characteristic, complemented
30	#121×D₁₂₇	C₂	1	1	yes	maximal, characteristic, complemented
31	#562×C₁₂₇	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14523249	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14523249	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14523248	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₅₀₈	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₅₀₈	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₄×D₁₂₇	C₂²	1	1	yes	characteristic
38	C₂×D₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
44	#16861205	C₂²	1	1	yes	characteristic, complemented
45	#16861205	C₂²	1	1	yes	characteristic, complemented
46	#16861204	C₂²	1	1	yes	characteristic, complemented
47	#16861204	C₂²	1	1	yes	characteristic, complemented
48	#16861204	C₂²	1	1	yes	characteristic, complemented
49	#16861204	C₂²	1	1	yes	characteristic, complemented
50	#16861203	C₂²	1	1	yes	characteristic, complemented
51	#16861202	C₂²	1	1	yes	characteristic, complemented
52	#16861202	C₂²	1	1	yes	characteristic, complemented
53	#16861202	C₂²	1	1	yes	characteristic, complemented
54	#16861199	C₂²	1	1	yes	characteristic, complemented
55	#16861199	C₂²	1	1	yes	characteristic, complemented
56	#16861199	C₂²	1	1	yes	characteristic, complemented
57	#16861198	C₂²	1	1	yes	characteristic, complemented
58	#16861198	C₂²	1	1	yes	characteristic, complemented
59	#16861196	C₂²	1	1	yes	characteristic, complemented
60	#16861195	C₂²	1	1	yes	characteristic, complemented
61	#16861194	C₂²	1	1	yes	characteristic, complemented
62	#16861194	C₂²	1	1	yes	characteristic, complemented
63	#16861194	C₂²	1	1	yes	characteristic, complemented
64	#16861194	C₂²	1	1	yes	characteristic, complemented
65	#16861194	C₂²	1	1	yes	characteristic, complemented
66	#16861194	C₂²	1	1	yes	characteristic, complemented
67	#16861194	C₂²	1	1	yes	characteristic, complemented
68	#16861194	C₂²	1	1	yes	characteristic, complemented
69	#16861194	C₂²	1	1	yes	characteristic, complemented
70	#16861194	C₂²	1	1	yes	characteristic, complemented
71	#16861193	C₂²	1	1	yes	characteristic, complemented
72	#16861193	C₂²	1	1	yes	characteristic, complemented
73	#16861192	C₂²	1	1	yes	characteristic, complemented
74	#16861192	C₂²	1	1	yes	characteristic, complemented
75	#16861192	C₂²	1	1	yes	characteristic, complemented
76	#16861191	C₂²	1	1	yes	characteristic, complemented
77	#16861191	C₂²	1	1	yes	characteristic, complemented
78	#16861191	C₂²	1	1	yes	characteristic, complemented
79	#16861191	C₂²	1	1	yes	characteristic, complemented
80	#16861191	C₂²	1	1	yes	characteristic, complemented
81	#16861191	C₂²	1	1	yes	characteristic, complemented
82	#16861191	C₂²	1	1	yes	characteristic, complemented
83	#16861191	C₂²	1	1	yes	characteristic, complemented
84	#16861190	C₂²	1	1	yes	characteristic, complemented
85	#16861189	C₂²	1	1	yes	characteristic, complemented
86	#16861187	C₂²	1	1	yes	characteristic, complemented
87	#16861187	C₂²	1	1	yes	characteristic, complemented
88	#16861187	C₂²	1	1	yes	characteristic, complemented
89	#16861185	C₂²	1	1	yes	characteristic, complemented
90	#16861185	C₂²	1	1	yes	characteristic, complemented
91	#16861185	C₂²	1	1	yes	characteristic, complemented
92	#16861185	C₂²	1	1	yes	characteristic, complemented
93	#16861184	C₂²	1	1	yes	characteristic
94	#16861184	C₂²	1	1	yes	characteristic, complemented
95	#16861184	C₂²	1	1	yes	characteristic, complemented
96	#16861184	C₂²	1	1	yes	characteristic, complemented
97	#16861184	C₂²	1	1	yes	characteristic, complemented
98	#16861184	C₂²	1	1	yes	characteristic, complemented
99	#16861184	C₂²	1	1	yes	characteristic, complemented
100	#16861184	C₂²	1	1	yes	characteristic, complemented
101	#16861184	C₂²	1	1	yes	characteristic, complemented
102	#16861183	C₂²	1	1	yes	characteristic, complemented
103	#16861183	C₂²	1	1	yes	characteristic, complemented
104	#16861183	C₂²	1	1	yes	characteristic, complemented
105	#16861182	C₂²	1	1	yes	characteristic
106	#16861182	C₂²	1	1	yes	characteristic
107	#16861182	C₂²	1	1	yes	characteristic, complemented
108	#16861182	C₂²	1	1	yes	characteristic, complemented
109	#16861182	C₂²	1	1	yes	characteristic, complemented
110	#16861182	C₂²	1	1	yes	characteristic, complemented
111	#16861182	C₂²	1	1	yes	characteristic, complemented
112	#16861182	C₂²	1	1	yes	characteristic, complemented
113	#16861182	C₂²	1	1	yes	characteristic, complemented
114	#16861182	C₂²	1	1	yes	characteristic, complemented
115	#16861182	C₂²	1	1	yes	characteristic, complemented
116	#16861182	C₂²	1	1	yes	characteristic, complemented
117	#16861181	C₂²	1	1	yes	characteristic, complemented
118	#16861181	C₂²	1	1	yes	characteristic, complemented
119	#16861181	C₂²	1	1	yes	characteristic, complemented
120	#16861181	C₂²	1	1	yes	characteristic, complemented
121	#16861181	C₂²	1	1	yes	characteristic, complemented
122	#16861180	C₂²	1	1	yes	characteristic, complemented
123	#16861180	C₂²	1	1	yes	characteristic, complemented
124	#16861180	C₂²	1	1	yes	characteristic, complemented
125	#16861179	C₂²	1	1	yes	characteristic
126	#16861179	C₂²	1	1	yes	characteristic, complemented
127	#16861179	C₂²	1	1	yes	characteristic, complemented
128	#16861179	C₂²	1	1	yes	characteristic, complemented
129	#16861179	C₂²	1	1	yes	characteristic, complemented
130	#16861179	C₂²	1	1	yes	characteristic, complemented
131	#16861179	C₂²	1	1	yes	characteristic, complemented
132	#16861179	C₂²	1	1	yes	characteristic, complemented
133	#16861179	C₂²	1	1	yes	characteristic, complemented
134	#16861179	C₂²	1	1	yes	characteristic, complemented
135	#16861177	C₂²	1	1	yes	characteristic
136	#16861177	C₂²	1	1	yes	characteristic, complemented
137	#16861177	C₂²	1	1	yes	characteristic, complemented
138	#16861177	C₂²	1	1	yes	characteristic, complemented
139	#16861177	C₂²	1	1	yes	characteristic, complemented
140	#16861177	C₂²	1	1	yes	characteristic, complemented
141	C₄×D₅₀₈	C₂²	1	1	yes	characteristic, complemented
142	C₄×D₅₀₈	C₂²	1	1	yes	characteristic, complemented
143	C₄×D₅₀₈	C₂²	1	1	yes	characteristic, complemented
144	#16861171	C₂²	1	1	yes	characteristic, complemented
145	#16861171	C₂²	1	1	yes	characteristic, complemented
146	#16861171	C₂²	1	1	yes	characteristic, complemented
147	#16861171	C₂²	1	1	yes	characteristic, complemented
148	#16861171	C₂²	1	1	yes	characteristic, complemented
149	C₄×C₂²⋊D₁₂₇	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₂²⋊D₁₂₇	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₂²⋊D₁₂₇	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₂²⋊D₁₂₇	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₂²⋊D₁₂₇	C₂²	1	1	yes	characteristic, complemented
154	(C₂²⋊D₁₂₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	(C₂²⋊D₁₂₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	(C₂²⋊D₁₂₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	#16861167	C₂²	1	1	yes	characteristic, complemented
158	#16861167	C₂²	1	1	yes	characteristic, complemented
159	#16861165	C₂²	1	1	yes	characteristic, complemented
160	C₄⋊C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
161	C₄⋊C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
162	C₄⋊C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
163	C₂×(C₂×D₁₂₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₂²⋊C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
165	C₂²⋊C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
166	C₂²⋊C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×D₁₂₇	C₂²	1	1	yes	characteristic, complemented
172	#125×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
173	#124×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
174	#124×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
175	#123×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
176	#123×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
177	#123×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
178	#123×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
179	C₂²⋊Q₈×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
180	C₂²⋊Q₈×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
181	C₂²⋊Q₈×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
182	C₂²⋊Q₈×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
183	#121×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
184	#121×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
185	#121×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
186	#121×C₁₂₇	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₂₇	C₂³	1	1	yes	characteristic
188	C₂³×D₁₂₇	C₂³	1	1	yes	characteristic
189	C₂³×D₁₂₇	C₂³	1	1	yes	characteristic
190	C₂³×D₁₂₇	C₂³	1	1	yes	characteristic
191	C₂³×D₁₂₇	C₂³	1	1	yes	characteristic
192	C₂³×D₁₂₇	C₂³	1	1	yes	characteristic
193	#14523249	—	4	2	no	—
194	#14523249	—	4	2	no	—
195	#14523248	—	4	2	no	—
196	C₂×Dic₂₅₄	C₂³	1	1	yes	characteristic
197	C₂×D₅₀₈	—	4	2	no	—
198	C₂×D₅₀₈	—	4	2	no	—
199	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
200	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
201	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
202	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
203	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
204	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
205	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
206	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
207	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
208	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
209	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
210	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
211	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
212	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
213	C₂×D₅₀₈	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊D₁₂₇	C₂³	1	1	yes	characteristic
230	D₄×D₁₂₇	—	4	2	no	—
231	D₄×D₁₂₇	—	4	2	no	—
232	D₄×D₁₂₇	—	4	2	no	—
233	D₄×D₁₂₇	—	4	2	no	—
234	D₄×D₁₂₇	—	4	2	no	—
235	D₄×D₁₂₇	—	4	2	no	—
236	C₂²×Dic₁₂₇	C₂³	1	1	yes	characteristic
237	C₂²×Dic₁₂₇	C₂³	1	1	yes	characteristic
238	C₂×C₄×D₁₂₇	—	4	2	no	—
239	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
240	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
248	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
249	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
250	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
252	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
253	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
254	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
255	C₂×C₄×D₁₂₇	C₂³	1	1	yes	characteristic
256	C₄⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
257	C₄⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
258	C₄⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
259	C₄⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
260	C₄⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
261	C₄⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
262	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
263	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
264	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
265	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
266	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
267	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
268	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
269	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
270	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
271	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
272	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
273	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
274	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
275	Dic₁₂₇⋊C₄	C₂³	1	1	yes	characteristic
276	C₂²⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
277	C₂²⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
278	C₂²⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
279	C₂²⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
280	C₂²⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
281	C₂²⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
282	C₂²⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
283	C₂²⋊Dic₁₂₇	C₂³	1	1	yes	characteristic
284	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×D₁₂₇)⋊C₄	C₂³	1	1	yes	characteristic
314	C₄×Dic₁₂₇	C₂³	1	1	yes	characteristic
315	C₄×Dic₁₂₇	C₂³	1	1	yes	characteristic
316	C₄×Dic₁₂₇	C₂³	1	1	yes	characteristic
317	C₄×Dic₁₂₇	C₂³	1	1	yes	characteristic
318	C₄×Dic₁₂₇	C₂³	1	1	yes	characteristic
319	C₂×Q₈×C₁₂₇	C₂³	1	1	yes	characteristic
320	C₂×Q₈×C₁₂₇	C₂³	1	1	yes	characteristic
321	C₂×D₄×C₁₂₇	C₂³	1	1	yes	characteristic
322	C₂×D₄×C₁₂₇	C₂³	1	1	yes	characteristic
323	C₂×D₄×C₁₂₇	C₂³	1	1	yes	characteristic
324	C₂×D₄×C₁₂₇	C₂³	1	1	yes	characteristic
325	C₂×D₄×C₁₂₇	C₂³	1	1	yes	characteristic
326	C₂×D₄×C₁₂₇	C₂³	1	1	yes	characteristic
327	C₂²×C₄×C₁₂₇	C₂³	1	1	yes	characteristic
328	C₂²×C₄×C₁₂₇	C₂³	1	1	yes	characteristic
329	C₂²×C₄×C₁₂₇	C₂³	1	1	yes	characteristic
330	C₂²×C₄×C₁₂₇	C₂³	1	1	yes	characteristic
331	C₄⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
332	C₄⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
334	C₄⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
335	C₄⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
336	C₄⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
337	C₄⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
338	C₄⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
339	C₄⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
340	C₄⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
341	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
342	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
343	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
344	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
345	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
346	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
347	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
348	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
349	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
350	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
351	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
352	C₂²⋊C₄×C₁₂₇	C₂³	1	1	yes	characteristic
353	C₄²×C₁₂₇	C₂³	1	1	yes	characteristic
354	C₂²×D₁₂₇	—	2	2	no	—
355	C₂²×D₁₂₇	—	2	2	no	—
356	C₂²×D₁₂₇	—	2	2	no	—
357	C₂²×D₁₂₇	—	2	2	no	—
358	C₂²×D₁₂₇	—	2	2	no	—
359	C₂²×D₁₂₇	—	4	1	no	—
360	C₂²×D₁₂₇	—	4	1	no	—
361	C₂²×D₁₂₇	—	4	1	no	—
362	C₂²×D₁₂₇	—	4	1	no	—
363	C₂²×D₁₂₇	—	4	1	no	—
364	C₂²×D₁₂₇	—	4	1	no	—
365	C₂²×D₁₂₇	—	4	1	no	—
366	C₂²×D₁₂₇	—	4	1	no	—
367	C₂²×D₁₂₇	—	4	1	no	—
368	C₂²×D₁₂₇	—	4	1	no	—
369	C₂²×D₁₂₇	—	4	1	no	—
370	C₂²×D₁₂₇	—	4	1	no	—
371	C₂²×D₁₂₇	—	4	1	no	—
372	C₂²×D₁₂₇	C₂⁴	1	1	yes	characteristic
373	C₂²×D₁₂₇	C₂⁴	1	1	yes	characteristic
374	C₂²×D₁₂₇	C₂⁴	1	1	yes	characteristic
375	C₂²×D₁₂₇	C₂⁴	1	1	yes	characteristic
376	C₂²×D₁₂₇	C₂⁴	1	1	yes	characteristic
377	C₂²×D₁₂₇	C₂⁴	1	1	yes	characteristic
378	C₂²×D₁₂₇	C₂⁴	1	1	yes	characteristic
379	Dic₂₅₄	—	4	1	no	—
380	D₅₀₈	—	2	2	no	—
381	D₅₀₈	—	2	2	no	—
382	D₅₀₈	—	2	2	no	—
383	D₅₀₈	—	2	2	no	—
384	D₅₀₈	—	2	2	no	—
385	D₅₀₈	—	2	2	no	—
386	D₅₀₈	—	2	2	no	—
387	D₅₀₈	—	4	1	no	—
388	D₅₀₈	—	4	1	no	—
389	D₅₀₈	—	4	1	no	—
390	D₅₀₈	—	4	1	no	—
391	D₅₀₈	—	4	1	no	—
392	D₅₀₈	—	4	1	no	—
393	D₅₀₈	—	4	1	no	—
394	D₅₀₈	—	4	1	no	—
395	C₂²⋊D₁₂₇	—	2	2	no	—
396	C₂²⋊D₁₂₇	—	2	2	no	—
397	C₂²⋊D₁₂₇	—	2	2	no	—
398	C₂²⋊D₁₂₇	—	4	1	no	—
399	C₂²⋊D₁₂₇	—	4	1	no	—
400	C₂²⋊D₁₂₇	—	4	1	no	—
401	C₂²⋊D₁₂₇	—	4	1	no	—
402	C₂²⋊D₁₂₇	—	4	1	no	—
403	C₂²⋊D₁₂₇	—	4	1	no	—
404	C₂²⋊D₁₂₇	—	4	1	no	—
405	C₂²⋊D₁₂₇	—	4	1	no	—
406	C₂²⋊D₁₂₇	—	4	1	no	—
407	C₂²⋊D₁₂₇	—	4	1	no	—
408	C₂²⋊D₁₂₇	—	4	1	no	—
409	C₂²⋊D₁₂₇	—	4	1	no	—
410	C₂²⋊D₁₂₇	—	4	1	no	—
411	C₂×Dic₁₂₇	—	4	1	no	—
412	C₂×Dic₁₂₇	—	4	1	no	—
413	C₂×Dic₁₂₇	C₂⁴	1	1	yes	characteristic
414	C₂×Dic₁₂₇	C₂⁴	1	1	yes	characteristic
415	C₂×Dic₁₂₇	C₂⁴	1	1	yes	characteristic
416	C₂×Dic₁₂₇	C₂⁴	1	1	yes	characteristic
417	C₂×Dic₁₂₇	C₂⁴	1	1	yes	characteristic
418	C₂×Dic₁₂₇	C₂⁴	1	1	yes	characteristic
419	C₂×Dic₁₂₇	C₂⁴	1	1	yes	characteristic
420	C₂×Dic₁₂₇	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₁₂₇	C₂⁴	1	1	yes	characteristic
422	C₄×D₁₂₇	—	2	2	no	—
423	C₄×D₁₂₇	—	2	2	no	—
424	C₄×D₁₂₇	—	2	2	no	—
425	C₄×D₁₂₇	—	4	1	no	—
426	C₄×D₁₂₇	—	4	1	no	—
427	C₄×D₁₂₇	—	4	1	no	—
428	C₄×D₁₂₇	—	4	1	no	—
429	C₄×D₁₂₇	—	4	1	no	—
430	C₄×D₁₂₇	—	4	1	no	—
431	C₄×D₁₂₇	—	4	1	no	—
432	C₄×D₁₂₇	—	4	1	no	—
433	C₄×D₁₂₇	—	4	1	no	—
434	C₄×D₁₂₇	—	4	1	no	—
435	C₄×D₁₂₇	—	4	1	no	—
436	C₄×D₁₂₇	—	4	1	no	—
437	C₄×D₁₂₇	—	4	1	no	—
438	C₄×D₁₂₇	—	4	1	no	—
439	C₂³×C₁₂₇	C₂⁴	1	1	yes	characteristic
440	C₂³×C₁₂₇	C₂⁴	1	1	yes	characteristic
441	C₂³×C₁₂₇	C₂⁴	1	1	yes	characteristic
442	C₂³×C₁₂₇	C₂⁴	1	1	yes	characteristic
443	Q₈×C₁₂₇	—	4	1	no	—
444	Q₈×C₁₂₇	—	4	1	no	—
445	D₄×C₁₂₇	—	4	1	no	—
446	D₄×C₁₂₇	—	4	1	no	—
447	D₄×C₁₂₇	—	4	1	no	—
448	D₄×C₁₂₇	—	4	1	no	—
449	D₄×C₁₂₇	—	4	1	no	—
450	D₄×C₁₂₇	—	4	1	no	—
451	C₂×C₄×C₁₂₇	—	4	1	no	—
452	C₂×C₄×C₁₂₇	—	4	1	no	—
453	C₂×C₄×C₁₂₇	—	4	1	no	—
454	C₂×C₄×C₁₂₇	—	4	1	no	—
455	C₂×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
456	C₂×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
457	C₂×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
458	C₂×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
459	C₂×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
460	C₂×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
461	C₂×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
462	C₂×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
463	C₂×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
464	C₂×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
465	C₂×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
466	C₂²×C₁₂₇	—	2	1	no	—
467	C₂²×C₁₂₇	—	2	1	no	—
468	C₂²×C₁₂₇	—	2	1	no	—
469	C₂²×C₁₂₇	—	2	1	no	—
470	C₂²×C₁₂₇	—	2	1	no	—
471	C₂²×C₁₂₇	—	2	1	no	—
472	C₂²×C₁₂₇	—	2	1	no	—
473	C₂²×C₁₂₇	—	2	1	no	—
474	C₂²×C₁₂₇	—	2	1	no	—
475	C₂²×C₁₂₇	—	2	1	no	—
476	C₂²×C₁₂₇	—	2	1	no	—
477	C₂²×C₁₂₇	—	2	1	no	—
478	C₂²×C₁₂₇	C₂⁵	1	1	yes	characteristic
479	C₂×D₁₂₇	—	2	1	no	—
480	C₂×D₁₂₇	—	2	1	no	—
481	C₂×D₁₂₇	—	2	1	no	—
482	C₂×D₁₂₇	—	2	1	no	—
483	C₂×D₁₂₇	—	2	1	no	—
484	C₂×D₁₂₇	—	2	1	no	—
485	C₂×D₁₂₇	—	2	1	no	—
486	C₂×D₁₂₇	—	2	1	no	—
487	C₂×D₁₂₇	—	2	1	no	—
488	C₂×D₁₂₇	—	2	1	no	—
489	C₂×D₁₂₇	—	2	1	no	—
490	C₂×D₁₂₇	—	2	1	no	—
491	C₂×D₁₂₇	—	2	1	no	—
492	C₂×D₁₂₇	—	2	1	no	—
493	C₂×D₁₂₇	—	2	1	no	—
494	C₂×D₁₂₇	—	2	1	no	—
495	C₂×D₁₂₇	—	2	1	no	—
496	C₂×D₁₂₇	—	2	1	no	—
497	C₂×D₁₂₇	—	2	1	no	—
498	C₂×D₁₂₇	—	4	4	no	—
499	C₂×D₁₂₇	—	8	2	no	—
500	C₂×D₁₂₇	—	8	2	no	—
501	C₂×D₁₂₇	—	8	2	no	—
502	C₂×D₁₂₇	—	8	2	no	—
503	C₂×D₁₂₇	—	8	2	no	—
504	C₂×D₁₂₇	H(5,𝔽₂)	1	2	yes	—
505	C₂×D₁₂₇	H(5,𝔽₂)	1	2	yes	—
506	C₄×C₁₂₇	—	2	1	no	—
507	C₄×C₁₂₇	—	2	1	no	—
508	C₄×C₁₂₇	—	2	1	no	—
509	C₄×C₁₂₇	—	2	1	no	—
510	C₄×C₁₂₇	—	2	1	no	—
511	C₄×C₁₂₇	—	2	1	no	—
512	C₄×C₁₂₇	—	2	1	no	—
513	C₄×C₁₂₇	—	2	1	no	—
514	C₄×C₁₂₇	—	2	1	no	—
515	C₄×C₁₂₇	—	2	1	no	—
516	C₄×C₁₂₇	—	2	1	no	—
517	Dic₁₂₇	—	2	1	no	—
518	Dic₁₂₇	—	2	1	no	—
519	Dic₁₂₇	—	2	1	no	—
520	Dic₁₂₇	—	2	1	no	—
521	Dic₁₂₇	—	2	1	no	—
522	Dic₁₂₇	—	2	1	no	—
523	Dic₁₂₇	—	2	1	no	—
524	Dic₁₂₇	—	2	1	no	—
525	Dic₁₂₇	—	2	1	no	—
526	C₂×C₁₂₇	—	4	1	no	—
527	C₂×C₁₂₇	—	4	1	no	—
528	C₂×C₁₂₇	—	4	1	no	—
529	C₂×C₁₂₇	—	4	1	no	—
530	C₂×C₁₂₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
531	C₂×C₁₂₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
532	C₂×C₁₂₇	#585	1	1	yes	characteristic
533	D₁₂₇	—	2	2	no	—
534	D₁₂₇	—	2	2	no	—
535	D₁₂₇	—	4	1	no	—
536	D₁₂₇	—	4	1	no	—
537	D₁₂₇	—	4	1	no	—
538	D₁₂₇	—	4	1	no	—
539	D₁₂₇	—	4	1	no	—
540	#3534	—	127	1	no	maximal, Sylow
541	C₁₂₇	#3534	1	1	yes	characteristic, complemented, Sylow
542	#562	—	127	1	no	—
543	#562	D₁₂₇	1	1	yes	characteristic, complemented
544	#560	—	127	1	no	—
545	#560	—	127	1	no	—
546	#553	—	127	1	no	—
547	#553	—	127	1	no	—
548	#551	—	127	1	no	—
549	#551	—	127	1	no	—
550	#546	—	127	1	no	—
551	#546	—	127	1	no	—
552	#546	—	127	1	no	—
553	#546	—	127	1	no	—
554	#546	—	127	1	no	—
555	#546	—	127	1	no	—
556	D₄²	—	127	1	no	—
557	D₄²	—	127	1	no	—
558	#540	—	127	1	no	—
559	#540	—	127	1	no	—
560	#539	—	127	1	no	—
561	#539	—	127	1	no	—
562	#539	—	127	1	no	—
563	#538	—	127	1	no	—
564	#538	—	127	1	no	—
565	#538	—	127	1	no	—
566	#537	—	127	1	no	—
567	#534	—	127	1	no	—
568	#534	—	127	1	no	—
569	#534	—	127	1	no	—
570	#525	—	127	1	no	—
571	C₂×#123	—	127	1	no	—
572	C₂×#121	—	127	1	no	—
573	C₂×#41	—	127	1	no	—
574	C₂×#41	—	127	1	no	—
575	C₂×#41	—	127	1	no	—
576	C₂²×D₄	—	127	1	no	—
577	C₂²×D₄	—	127	1	no	—
578	C₂²×D₄	—	127	1	no	—
579	C₂²×D₄	—	127	1	no	—
580	C₂²×D₄	—	127	1	no	—
581	C₂²×D₄	—	127	1	no	—
582	C₂²×D₄	—	127	1	no	—
583	C₂²×D₄	—	127	1	no	—
584	C₂³×C₄	—	127	1	no	—
585	#127	—	127	1	no	—
586	#127	—	127	1	no	—
587	#126	—	127	1	no	—
588	#126	—	127	1	no	—
589	#126	—	127	1	no	—
590	#126	—	127	1	no	—
591	#126	—	127	1	no	—
592	#126	—	127	1	no	—
593	#126	—	127	1	no	—
594	#126	—	127	1	no	—
595	#125	—	127	1	no	—
596	#125	—	127	1	no	—
597	#125	—	127	1	no	—
598	#125	C₂×D₁₂₇	1	1	yes	characteristic, complemented
599	#124	—	127	1	no	—
600	#124	—	127	1	no	—
601	#124	—	127	1	no	—
602	#124	—	127	1	no	—
603	#124	C₂×D₁₂₇	1	1	yes	characteristic, complemented
604	#124	C₂×D₁₂₇	1	1	yes	characteristic, complemented
605	#123	—	127	1	no	—
606	#123	—	127	1	no	—
607	#123	—	127	1	no	—
608	#123	—	127	1	no	—
609	#123	—	127	1	no	—
610	#123	—	127	1	no	—
611	#123	—	127	1	no	—
612	#123	—	127	1	no	—
613	#123	—	127	1	no	—
614	#123	—	127	1	no	—
615	#123	—	127	1	no	—
616	#123	—	127	1	no	—
617	#123	—	127	1	no	—
618	#123	—	127	1	no	—
619	#123	—	127	1	no	—
620	#123	—	127	1	no	—
621	#123	—	127	1	no	—
622	#123	—	127	1	no	—
623	#123	—	127	1	no	—
624	#123	—	127	1	no	—
625	#123	—	127	1	no	—
626	#123	—	127	1	no	—
627	#123	—	127	1	no	—
628	#123	—	127	1	no	—
629	#123	C₂×D₁₂₇	1	1	yes	characteristic, complemented
630	#123	C₂×D₁₂₇	1	1	yes	characteristic, complemented
631	#123	C₂×D₁₂₇	1	1	yes	characteristic, complemented
632	#123	C₂×D₁₂₇	1	1	yes	characteristic, complemented
633	C₂²⋊Q₈	—	127	1	no	—
634	C₂²⋊Q₈	—	127	1	no	—
635	C₂²⋊Q₈	—	127	1	no	—
636	C₂²⋊Q₈	—	127	1	no	—
637	C₂²⋊Q₈	—	127	1	no	—
638	C₂²⋊Q₈	—	127	1	no	—
639	C₂²⋊Q₈	—	127	1	no	—
640	C₂²⋊Q₈	—	127	1	no	—
641	C₂²⋊Q₈	C₂×D₁₂₇	1	1	yes	characteristic, complemented
642	C₂²⋊Q₈	C₂×D₁₂₇	1	1	yes	characteristic, complemented
643	C₂²⋊Q₈	C₂×D₁₂₇	1	1	yes	characteristic, complemented
644	C₂²⋊Q₈	C₂×D₁₂₇	1	1	yes	characteristic, complemented
645	#121	—	127	1	no	—
646	#121	—	127	1	no	—
647	#121	—	127	1	no	—
648	#121	—	127	1	no	—
649	#121	—	127	1	no	—
650	#121	—	127	1	no	—
651	#121	—	127	1	no	—
652	#121	—	127	1	no	—
653	#121	—	127	1	no	—
654	#121	—	127	1	no	—
655	#121	—	127	1	no	—
656	#121	—	127	1	no	—
657	#121	—	127	1	no	—
658	#121	—	127	1	no	—
659	#121	—	127	1	no	—
660	#121	—	127	1	no	—
661	#121	—	127	1	no	—
662	#121	—	127	1	no	—
663	#121	—	127	1	no	—
664	#121	—	127	1	no	—
665	#121	—	127	1	no	—
666	#121	—	127	1	no	—
667	#121	—	127	1	no	—
668	#121	—	127	1	no	—
669	#121	—	127	1	no	—
670	#121	—	127	1	no	—
671	#121	—	127	1	no	—
672	#121	—	127	1	no	—
673	#121	—	127	1	no	—
674	#121	—	127	1	no	—
675	#121	—	127	1	no	—
676	#121	—	127	1	no	—
677	#121	C₂×D₁₂₇	1	1	yes	characteristic, complemented
678	#121	C₂×D₁₂₇	1	1	yes	characteristic, complemented
679	#121	C₂×D₁₂₇	1	1	yes	characteristic, complemented
680	#121	C₂×D₁₂₇	1	1	yes	characteristic, complemented
681	#120	—	127	1	no	—
682	#120	—	127	1	no	—
683	#120	—	127	1	no	—
684	#120	—	127	1	no	—
685	#120	—	127	1	no	—
686	#120	—	127	1	no	—
687	#120	—	127	1	no	—
688	#120	—	127	1	no	—
689	#120	—	127	1	no	—
690	#120	—	127	1	no	—
691	#120	—	127	1	no	—
692	#120	—	127	1	no	—
693	#120	—	127	1	no	—
694	#120	—	127	1	no	—
695	#120	—	127	1	no	—
696	#120	—	127	1	no	—
697	C₄×D₄	—	127	1	no	—
698	C₄×D₄	—	127	1	no	—
699	C₄×D₄	—	127	1	no	—
700	C₄×D₄	—	127	1	no	—
701	C₄×D₄	—	127	1	no	—
702	C₄×D₄	—	127	1	no	—
703	C₄×D₄	—	127	1	no	—
704	C₄×D₄	—	127	1	no	—
705	C₄×D₄	—	127	1	no	—
706	C₄×D₄	—	127	1	no	—
707	C₄×D₄	—	127	1	no	—
708	C₄×D₄	—	127	1	no	—
709	C₄×D₄	—	127	1	no	—
710	C₄×D₄	—	127	1	no	—
711	C₄×D₄	—	127	1	no	—
712	C₄×D₄	—	127	1	no	—
713	#117	—	127	1	no	—
714	#117	—	127	1	no	—
715	#117	—	127	1	no	—
716	C₂×C₄⋊C₄	—	127	1	no	—
717	C₂×C₄⋊C₄	—	127	1	no	—
718	C₂×C₄⋊C₄	—	127	1	no	—
719	C₂×C₂²⋊C₄	—	127	1	no	—
720	C₂×C₂²⋊C₄	—	127	1	no	—
721	C₂×C₂²⋊C₄	—	127	1	no	—
722	C₂×C₂²⋊C₄	—	127	1	no	—
723	C₂×C₂²⋊C₄	—	127	1	no	—
724	C₂×C₂²⋊C₄	—	127	1	no	—
725	C₂×C₂²⋊C₄	—	127	1	no	—
726	C₂×C₂²⋊C₄	—	127	1	no	—
727	C₂×C₂²⋊C₄	—	127	1	no	—
728	C₂⁴	—	127	1	no	—
729	C₂⁴	—	127	1	no	—
730	C₂⁴	—	127	1	no	—
731	C₂⁴	—	127	1	no	—
732	C₂⁴	—	127	1	no	—
733	C₂⁴	—	127	1	no	—
734	#41	—	508	2	no	—
735	#41	—	508	2	no	—
736	#41	—	508	2	no	—
737	C₂×Q₈	—	127	1	no	—
738	C₂×Q₈	C₂²×D₁₂₇	1	1	yes	characteristic
739	C₂×Q₈	C₂²×D₁₂₇	1	1	yes	characteristic
740	C₂×D₄	—	127	1	no	—
741	C₂×D₄	—	127	1	no	—
742	C₂×D₄	—	127	1	no	—
743	C₂×D₄	—	127	1	no	—
744	C₂×D₄	—	127	1	no	—
745	C₂×D₄	—	127	1	no	—
746	C₂×D₄	—	127	1	no	—
747	C₂×D₄	—	127	1	no	—
748	C₂×D₄	—	127	1	no	—
749	C₂×D₄	—	127	1	no	—
750	C₂×D₄	—	127	1	no	—
751	C₂×D₄	—	127	1	no	—
752	C₂×D₄	—	127	1	no	—
753	C₂×D₄	—	127	1	no	—
754	C₂×D₄	—	127	1	no	—
755	C₂×D₄	—	127	1	no	—
756	C₂×D₄	—	127	1	no	—
757	C₂×D₄	—	127	1	no	—
758	C₂×D₄	—	127	1	no	—
759	C₂×D₄	—	127	1	no	—
760	C₂×D₄	—	127	1	no	—
761	C₂×D₄	—	127	1	no	—
762	C₂×D₄	—	127	1	no	—
763	C₂×D₄	—	127	1	no	—
764	C₂×D₄	—	127	1	no	—
765	C₂×D₄	—	127	1	no	—
766	C₂×D₄	—	127	1	no	—
767	C₂×D₄	—	127	1	no	—
768	C₂×D₄	—	127	1	no	—
769	C₂×D₄	—	127	1	no	—
770	C₂×D₄	—	127	1	no	—
771	C₂×D₄	—	508	2	no	—
772	C₂×D₄	—	508	2	no	—
773	C₂×D₄	—	508	2	no	—
774	C₂×D₄	—	508	2	no	—
775	C₂×D₄	—	508	2	no	—
776	C₂×D₄	—	508	2	no	—
777	C₂×D₄	—	508	2	no	—
778	C₂×D₄	—	508	2	no	—
779	C₂×D₄	C₂²×D₁₂₇	1	1	yes	characteristic
780	C₂×D₄	C₂²×D₁₂₇	1	1	yes	characteristic
781	C₂×D₄	C₂²×D₁₂₇	1	1	yes	characteristic
782	C₂×D₄	C₂²×D₁₂₇	1	1	yes	characteristic
783	C₂×D₄	C₂²×D₁₂₇	1	1	yes	characteristic
784	C₂×D₄	C₂²×D₁₂₇	1	1	yes	characteristic
785	C₂²×C₄	—	127	1	no	—
786	C₂²×C₄	—	127	1	no	—
787	C₂²×C₄	—	127	1	no	—
788	C₂²×C₄	—	127	1	no	—
789	C₂²×C₄	—	127	1	no	—
790	C₂²×C₄	—	127	1	no	—
791	C₂²×C₄	—	127	1	no	—
792	C₂²×C₄	—	127	1	no	—
793	C₂²×C₄	—	127	1	no	—
794	C₂²×C₄	—	127	1	no	—
795	C₂²×C₄	—	127	1	no	—
796	C₂²×C₄	—	127	1	no	—
797	C₂²×C₄	—	127	1	no	—
798	C₂²×C₄	—	127	1	no	—
799	C₂²×C₄	—	127	1	no	—
800	C₂²×C₄	—	127	1	no	—
801	C₂²×C₄	—	127	1	no	—
802	C₂²×C₄	—	127	1	no	—
803	C₂²×C₄	—	127	1	no	—
804	C₂²×C₄	—	508	2	no	—
805	C₂²×C₄	C₂²×D₁₂₇	1	1	yes	characteristic
806	C₂²×C₄	C₂²×D₁₂₇	1	1	yes	characteristic
807	C₂²×C₄	C₂²×D₁₂₇	1	1	yes	characteristic
808	C₂²×C₄	C₂²×D₁₂₇	1	1	yes	characteristic
809	C₄⋊C₄	—	127	1	no	—
810	C₄⋊C₄	—	127	1	no	—
811	C₄⋊C₄	—	127	1	no	—
812	C₄⋊C₄	—	127	1	no	—
813	C₄⋊C₄	—	127	1	no	—
814	C₄⋊C₄	—	127	1	no	—
815	C₄⋊C₄	—	127	1	no	—
816	C₄⋊C₄	—	127	1	no	—
817	C₄⋊C₄	—	127	1	no	—
818	C₄⋊C₄	—	127	1	no	—
819	C₄⋊C₄	—	127	1	no	—
820	C₄⋊C₄	—	127	1	no	—
821	C₄⋊C₄	—	127	1	no	—
822	C₄⋊C₄	—	127	1	no	—
823	C₄⋊C₄	—	127	1	no	—
824	C₄⋊C₄	—	127	1	no	—
825	C₄⋊C₄	—	127	1	no	—
826	C₄⋊C₄	—	127	1	no	—
827	C₄⋊C₄	—	127	1	no	—
828	C₄⋊C₄	—	127	1	no	—
829	C₄⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
830	C₄⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
831	C₄⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
832	C₄⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
833	C₄⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
834	C₄⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
835	C₄⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
836	C₄⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
837	C₄⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
838	C₄⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
839	C₂²⋊C₄	—	127	1	no	—
840	C₂²⋊C₄	—	127	1	no	—
841	C₂²⋊C₄	—	127	1	no	—
842	C₂²⋊C₄	—	127	1	no	—
843	C₂²⋊C₄	—	127	1	no	—
844	C₂²⋊C₄	—	127	1	no	—
845	C₂²⋊C₄	—	127	1	no	—
846	C₂²⋊C₄	—	127	1	no	—
847	C₂²⋊C₄	—	127	1	no	—
848	C₂²⋊C₄	—	127	1	no	—
849	C₂²⋊C₄	—	127	1	no	—
850	C₂²⋊C₄	—	127	1	no	—
851	C₂²⋊C₄	—	127	1	no	—
852	C₂²⋊C₄	—	127	1	no	—
853	C₂²⋊C₄	—	127	1	no	—
854	C₂²⋊C₄	—	127	1	no	—
855	C₂²⋊C₄	—	127	1	no	—
856	C₂²⋊C₄	—	127	1	no	—
857	C₂²⋊C₄	—	127	1	no	—
858	C₂²⋊C₄	—	127	1	no	—
859	C₂²⋊C₄	—	127	1	no	—
860	C₂²⋊C₄	—	127	1	no	—
861	C₂²⋊C₄	—	127	1	no	—
862	C₂²⋊C₄	—	127	1	no	—
863	C₂²⋊C₄	—	127	1	no	—
864	C₂²⋊C₄	—	127	1	no	—
865	C₂²⋊C₄	—	127	1	no	—
866	C₂²⋊C₄	—	127	1	no	—
867	C₂²⋊C₄	—	127	1	no	—
868	C₂²⋊C₄	—	127	1	no	—
869	C₂²⋊C₄	—	127	1	no	—
870	C₂²⋊C₄	—	127	1	no	—
871	C₂²⋊C₄	—	127	1	no	—
872	C₂²⋊C₄	—	127	1	no	—
873	C₂²⋊C₄	—	127	1	no	—
874	C₂²⋊C₄	—	127	1	no	—
875	C₂²⋊C₄	—	127	1	no	—
876	C₂²⋊C₄	—	127	1	no	—
877	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
878	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
879	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
880	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
881	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
882	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
883	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
884	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
885	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
886	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
887	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
888	C₂²⋊C₄	C₂²×D₁₂₇	1	1	yes	characteristic
889	C₄²	—	127	1	no	—
890	C₄²	—	127	1	no	—
891	C₄²	—	127	1	no	—
892	C₄²	—	127	1	no	—
893	C₄²	—	127	1	no	—
894	C₄²	C₂²×D₁₂₇	1	1	yes	characteristic
895	C₂³	—	127	1	no	—
896	C₂³	—	127	1	no	—
897	C₂³	—	127	1	no	—
898	C₂³	—	127	1	no	—
899	C₂³	—	127	1	no	—
900	C₂³	—	127	1	no	—
901	C₂³	—	127	1	no	—
902	C₂³	—	508	1	no	—
903	C₂³	—	508	1	no	—
904	C₂³	—	508	1	no	—
905	C₂³	—	508	1	no	—
906	C₂³	—	508	1	no	—
907	C₂³	—	508	1	no	—
908	C₂³	—	508	1	no	—
909	C₂³	—	508	1	no	—
910	C₂³	—	508	1	no	—
911	C₂³	—	508	1	no	—
912	C₂³	—	508	1	no	—
913	C₂³	—	508	1	no	—
914	C₂³	—	508	1	no	—
915	C₂³	—	254	2	no	—
916	C₂³	—	254	2	no	—
917	C₂³	—	254	2	no	—
918	C₂³	—	254	2	no	—
919	C₂³	—	254	2	no	—
920	C₂³	C₂³×D₁₂₇	1	1	yes	characteristic
921	C₂³	C₂³×D₁₂₇	1	1	yes	characteristic
922	C₂³	C₂³×D₁₂₇	1	1	yes	characteristic
923	C₂³	C₂³×D₁₂₇	1	1	yes	characteristic
924	Q₈	—	4	1	no	—
925	Q₈	—	4	1	no	—
926	Q₈	—	508	1	no	—
927	D₄	—	4	1	no	—
928	D₄	—	4	1	no	—
929	D₄	—	4	1	no	—
930	D₄	—	4	1	no	—
931	D₄	—	4	1	no	—
932	D₄	—	4	1	no	—
933	D₄	—	508	1	no	—
934	D₄	—	508	1	no	—
935	D₄	—	508	1	no	—
936	D₄	—	508	1	no	—
937	D₄	—	508	1	no	—
938	D₄	—	508	1	no	—
939	D₄	—	508	1	no	—
940	D₄	—	508	1	no	—
941	D₄	—	508	1	no	—
942	D₄	—	508	1	no	—
943	D₄	—	508	1	no	—
944	D₄	—	508	1	no	—
945	D₄	—	508	1	no	—
946	D₄	—	508	1	no	—
947	D₄	—	508	1	no	—
948	D₄	—	508	1	no	—
949	D₄	—	508	1	no	—
950	D₄	—	508	1	no	—
951	D₄	—	508	1	no	—
952	D₄	—	508	1	no	—
953	D₄	—	508	1	no	—
954	D₄	—	254	2	no	—
955	D₄	—	254	2	no	—
956	D₄	—	254	2	no	—
957	D₄	—	254	2	no	—
958	D₄	—	254	2	no	—
959	D₄	—	254	2	no	—
960	D₄	—	254	2	no	—
961	D₄	—	254	2	no	—
962	D₄	—	254	2	no	—
963	D₄	—	254	2	no	—
964	C₂×C₄	—	4	1	no	—
965	C₂×C₄	—	4	1	no	—
966	C₂×C₄	—	4	1	no	—
967	C₂×C₄	—	4	1	no	—
968	C₂×C₄	—	127	1	no	—
969	C₂×C₄	—	127	1	no	—
970	C₂×C₄	—	127	1	no	—
971	C₂×C₄	—	127	1	no	—
972	C₂×C₄	—	127	1	no	—
973	C₂×C₄	—	127	1	no	—
974	C₂×C₄	—	127	1	no	—
975	C₂×C₄	—	127	1	no	—
976	C₂×C₄	—	127	1	no	—
977	C₂×C₄	—	508	1	no	—
978	C₂×C₄	—	508	1	no	—
979	C₂×C₄	—	508	1	no	—
980	C₂×C₄	—	508	1	no	—
981	C₂×C₄	—	508	1	no	—
982	C₂×C₄	—	508	1	no	—
983	C₂×C₄	—	508	1	no	—
984	C₂×C₄	—	508	1	no	—
985	C₂×C₄	—	508	1	no	—
986	C₂×C₄	—	508	1	no	—
987	C₂×C₄	—	508	1	no	—
988	C₂×C₄	—	508	1	no	—
989	C₂×C₄	—	508	1	no	—
990	C₂×C₄	—	508	1	no	—
991	C₂×C₄	—	508	1	no	—
992	C₂×C₄	—	508	1	no	—
993	C₂×C₄	—	254	2	no	—
994	C₂×C₄	—	254	2	no	—
995	C₂×C₄	—	254	2	no	—
996	C₂×C₄	C₂³×D₁₂₇	1	1	yes	characteristic
997	C₂×C₄	C₂³×D₁₂₇	1	1	yes	characteristic
998	C₂×C₄	C₂³×D₁₂₇	1	1	yes	characteristic
999	C₂×C₄	C₂³×D₁₂₇	1	1	yes	characteristic
1000	C₂×C₄	C₂³×D₁₂₇	1	1	yes	characteristic
1001	C₂×C₄	C₂³×D₁₂₇	1	1	yes	characteristic
1002	C₂×C₄	C₂³×D₁₂₇	1	1	yes	characteristic
1003	C₂×C₄	C₂³×D₁₂₇	1	1	yes	characteristic
1004	C₂×C₄	C₂³×D₁₂₇	1	1	yes	characteristic
1005	C₂×C₄	C₂³×D₁₂₇	1	1	yes	characteristic
1006	C₂×C₄	C₂³×D₁₂₇	1	1	yes	characteristic
1007	C₂²	—	2	1	no	—
1008	C₂²	—	2	1	no	—
1009	C₂²	—	2	1	no	—
1010	C₂²	—	2	1	no	—
1011	C₂²	—	2	1	no	—
1012	C₂²	—	2	1	no	—
1013	C₂²	—	2	1	no	—
1014	C₂²	—	2	1	no	—
1015	C₂²	—	2	1	no	—
1016	C₂²	—	2	1	no	—
1017	C₂²	—	2	1	no	—
1018	C₂²	—	2	1	no	—
1019	C₂²	—	127	2	no	—
1020	C₂²	—	127	2	no	—
1021	C₂²	—	1016	2	no	—
1022	C₂²	—	1016	2	no	—
1023	C₂²	—	1016	2	no	—
1024	C₂²	—	1016	2	no	—
1025	C₂²	—	1016	2	no	—
1026	C₂²	—	508	4	no	—
1027	C₂²	—	254	1	no	—
1028	C₂²	—	254	1	no	—
1029	C₂²	—	254	1	no	—
1030	C₂²	—	254	1	no	—
1031	C₂²	—	254	1	no	—
1032	C₂²	—	254	1	no	—
1033	C₂²	—	254	1	no	—
1034	C₂²	—	254	1	no	—
1035	C₂²	—	254	1	no	—
1036	C₂²	—	254	1	no	—
1037	C₂²	—	254	1	no	—
1038	C₂²	—	254	1	no	—
1039	C₂²	—	254	1	no	—
1040	C₂²	—	254	1	no	—
1041	C₂²	—	254	1	no	—
1042	C₂²	—	254	1	no	—
1043	C₂²	—	254	1	no	—
1044	C₂²	—	254	1	no	—
1045	C₂²	—	254	1	no	—
1046	C₂²	C₂⁴×D₁₂₇	1	1	yes	characteristic
1047	C₄	—	2	1	no	—
1048	C₄	—	2	1	no	—
1049	C₄	—	2	1	no	—
1050	C₄	—	2	1	no	—
1051	C₄	—	2	1	no	—
1052	C₄	—	2	1	no	—
1053	C₄	—	2	1	no	—
1054	C₄	—	2	1	no	—
1055	C₄	—	2	1	no	—
1056	C₄	—	2	1	no	—
1057	C₄	—	2	1	no	—
1058	C₄	—	254	1	no	—
1059	C₄	—	254	1	no	—
1060	C₄	—	254	1	no	—
1061	C₄	—	254	1	no	—
1062	C₄	—	254	1	no	—
1063	C₄	—	254	1	no	—
1064	C₄	—	254	1	no	—
1065	C₄	—	254	1	no	—
1066	C₄	—	254	1	no	—
1067	C₂	—	4	1	no	—
1068	C₂	—	4	1	no	—
1069	C₂	—	4	1	no	—
1070	C₂	—	4	1	no	—
1071	C₂	—	508	1	no	—
1072	C₂	—	508	1	no	—
1073	C₂	—	508	1	no	—
1074	C₂	—	508	1	no	—
1075	C₂	—	508	1	no	—
1076	C₂	—	254	2	no	—
1077	C₂	—	254	2	no	—
1078	C₂	H(5,𝔽₂)×D₁₂₇	1	1	yes	characteristic
1079	C₂	H(5,𝔽₂)×D₁₂₇	1	1	yes	characteristic
1080	C₂	#22550713	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₂₇
commutator, socle, cosocle	C₂²×C₁₂₇	C₂⁵
Fitting	#562×C₁₂₇	C₂
hypercenter	#562	D₁₂₇
hypocenter	C₁₂₇	#3534
LCS	G ▷ C₂²×C₁₂₇ ▷ C₁₂₇
UCS	C₁ ◁ C₂² ◁ #562

Complements

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

N	H ≅ G/N	type
1. #22550622	C₂	semidirect
2. #22550616	C₂	semidirect
3. #22550614	C₂	semidirect
4. #22550579	C₂	semidirect
5. #22550571	C₂	semidirect
6. #22550554	C₂	semidirect
7. #22550553	C₂	semidirect
8. #22550523	C₂	semidirect
9. #22550519	C₂	semidirect
10. #22550519	C₂	semidirect
11. #22550518	C₂	semidirect
12. #22550517	C₂	semidirect
13. #22550517	C₂	semidirect
14. #22550510	C₂	semidirect
15. #22550510	C₂	semidirect
16. #22550478	C₂	semidirect
17. #22550476	C₂	semidirect
18. #22550474	C₂	semidirect
19. #22550472	C₂	semidirect
20. #22550472	C₂	semidirect
21. #22550460	C₂	semidirect
22. #22550460	C₂	semidirect
23. #22550458	C₂	semidirect
24. #22550456	C₂	semidirect
25. #22550437	C₂	semidirect
26. #22550437	C₂	semidirect
27. #22550434	C₂	semidirect
28. #22550389	C₂	semidirect
29. #123×D₁₂₇	C₂	semidirect
30. #121×D₁₂₇	C₂	semidirect
31. #562×C₁₂₇	C₂	semidirect
32. C₂×#14523249	C₂²	semidirect
33. C₂×#14523249	C₂²	semidirect
34. C₂×#14523248	C₂²	semidirect
35. C₂²×D₅₀₈	C₂²	semidirect
36. C₂²×D₅₀₈	C₂²	semidirect
38. C₂×D₄×D₁₂₇	C₂²	semidirect
39. C₂×D₄×D₁₂₇	C₂²	semidirect
40. C₂×D₄×D₁₂₇	C₂²	semidirect
41. C₂×D₄×D₁₂₇	C₂²	semidirect
42. C₂×D₄×D₁₂₇	C₂²	semidirect
43. C₂²×C₄×D₁₂₇	C₂²	semidirect
44. #16861205	C₂²	semidirect
45. #16861205	C₂²	semidirect
46. #16861204	C₂²	semidirect
47. #16861204	C₂²	semidirect
48. #16861204	C₂²	semidirect
49. #16861204	C₂²	semidirect
50. #16861203	C₂²	semidirect
51. #16861202	C₂²	semidirect
52. #16861202	C₂²	semidirect
53. #16861202	C₂²	semidirect
54. #16861199	C₂²	semidirect
55. #16861199	C₂²	semidirect
56. #16861199	C₂²	semidirect
57. #16861198	C₂²	semidirect
58. #16861198	C₂²	semidirect
59. #16861196	C₂²	semidirect
60. #16861195	C₂²	semidirect
61. #16861194	C₂²	semidirect
62. #16861194	C₂²	semidirect
63. #16861194	C₂²	semidirect
64. #16861194	C₂²	semidirect
65. #16861194	C₂²	semidirect
66. #16861194	C₂²	semidirect
67. #16861194	C₂²	semidirect
68. #16861194	C₂²	semidirect
69. #16861194	C₂²	semidirect
70. #16861194	C₂²	semidirect
71. #16861193	C₂²	semidirect
72. #16861193	C₂²	semidirect
73. #16861192	C₂²	semidirect
74. #16861192	C₂²	semidirect
75. #16861192	C₂²	semidirect
76. #16861191	C₂²	semidirect
77. #16861191	C₂²	semidirect
78. #16861191	C₂²	semidirect
79. #16861191	C₂²	semidirect
80. #16861191	C₂²	semidirect
81. #16861191	C₂²	semidirect
82. #16861191	C₂²	semidirect
83. #16861191	C₂²	semidirect
84. #16861190	C₂²	semidirect
85. #16861189	C₂²	semidirect
86. #16861187	C₂²	semidirect
87. #16861187	C₂²	semidirect
88. #16861187	C₂²	semidirect
89. #16861185	C₂²	semidirect
90. #16861185	C₂²	semidirect
91. #16861185	C₂²	semidirect
92. #16861185	C₂²	semidirect
94. #16861184	C₂²	semidirect
95. #16861184	C₂²	semidirect
96. #16861184	C₂²	semidirect
97. #16861184	C₂²	semidirect
98. #16861184	C₂²	semidirect
99. #16861184	C₂²	semidirect
100. #16861184	C₂²	semidirect
101. #16861184	C₂²	semidirect
102. #16861183	C₂²	semidirect
103. #16861183	C₂²	semidirect
104. #16861183	C₂²	semidirect
107. #16861182	C₂²	semidirect
108. #16861182	C₂²	semidirect
109. #16861182	C₂²	semidirect
110. #16861182	C₂²	semidirect
111. #16861182	C₂²	semidirect
112. #16861182	C₂²	semidirect
113. #16861182	C₂²	semidirect
114. #16861182	C₂²	semidirect
115. #16861182	C₂²	semidirect
116. #16861182	C₂²	semidirect
117. #16861181	C₂²	semidirect
118. #16861181	C₂²	semidirect
119. #16861181	C₂²	semidirect
120. #16861181	C₂²	semidirect
121. #16861181	C₂²	semidirect
122. #16861180	C₂²	semidirect
123. #16861180	C₂²	semidirect
124. #16861180	C₂²	semidirect
126. #16861179	C₂²	semidirect
127. #16861179	C₂²	semidirect
128. #16861179	C₂²	semidirect
129. #16861179	C₂²	semidirect
130. #16861179	C₂²	semidirect
131. #16861179	C₂²	semidirect
132. #16861179	C₂²	semidirect
133. #16861179	C₂²	semidirect
134. #16861179	C₂²	semidirect
136. #16861177	C₂²	semidirect
137. #16861177	C₂²	semidirect
138. #16861177	C₂²	semidirect
139. #16861177	C₂²	semidirect
140. #16861177	C₂²	semidirect
141. C₄×D₅₀₈	C₂²	semidirect
142. C₄×D₅₀₈	C₂²	semidirect
143. C₄×D₅₀₈	C₂²	semidirect
144. #16861171	C₂²	semidirect
145. #16861171	C₂²	semidirect
146. #16861171	C₂²	semidirect
147. #16861171	C₂²	semidirect
148. #16861171	C₂²	semidirect
149. C₄×C₂²⋊D₁₂₇	C₂²	semidirect
150. C₄×C₂²⋊D₁₂₇	C₂²	semidirect
151. C₄×C₂²⋊D₁₂₇	C₂²	semidirect
152. C₄×C₂²⋊D₁₂₇	C₂²	semidirect
153. C₄×C₂²⋊D₁₂₇	C₂²	semidirect
154. (C₂²⋊D₁₂₇)⋊C₄	C₂²	semidirect
155. (C₂²⋊D₁₂₇)⋊C₄	C₂²	semidirect
156. (C₂²⋊D₁₂₇)⋊C₄	C₂²	semidirect
157. #16861167	C₂²	semidirect
158. #16861167	C₂²	semidirect
159. #16861165	C₂²	semidirect
160. C₄⋊C₄×D₁₂₇	C₂²	semidirect
161. C₄⋊C₄×D₁₂₇	C₂²	semidirect
162. C₄⋊C₄×D₁₂₇	C₂²	semidirect
163. C₂×(C₂×D₁₂₇)⋊C₄	C₂²	semidirect
164. C₂²⋊C₄×D₁₂₇	C₂²	semidirect
165. C₂²⋊C₄×D₁₂₇	C₂²	semidirect
166. C₂²⋊C₄×D₁₂₇	C₂²	semidirect
167. C₂²⋊C₄×D₁₂₇	C₂²	semidirect
168. C₂²⋊C₄×D₁₂₇	C₂²	semidirect
169. C₂²⋊C₄×D₁₂₇	C₂²	semidirect
170. C₂²⋊C₄×D₁₂₇	C₂²	semidirect
171. C₂²⋊C₄×D₁₂₇	C₂²	semidirect
172. #125×C₁₂₇	C₂²	semidirect
173. #124×C₁₂₇	C₂²	semidirect
174. #124×C₁₂₇	C₂²	semidirect
175. #123×C₁₂₇	C₂²	semidirect
176. #123×C₁₂₇	C₂²	semidirect
177. #123×C₁₂₇	C₂²	semidirect
178. #123×C₁₂₇	C₂²	semidirect
179. C₂²⋊Q₈×C₁₂₇	C₂²	semidirect
180. C₂²⋊Q₈×C₁₂₇	C₂²	semidirect
181. C₂²⋊Q₈×C₁₂₇	C₂²	semidirect
182. C₂²⋊Q₈×C₁₂₇	C₂²	semidirect
183. #121×C₁₂₇	C₂²	semidirect
184. #121×C₁₂₇	C₂²	semidirect
185. #121×C₁₂₇	C₂²	semidirect
186. #121×C₁₂₇	C₂²	semidirect
541. C₁₂₇	#3534	semidirect
543. #562	D₁₂₇	semidirect
598. #125	C₂×D₁₂₇	semidirect
603. #124	C₂×D₁₂₇	semidirect
604. #124	C₂×D₁₂₇	semidirect
629. #123	C₂×D₁₂₇	semidirect
630. #123	C₂×D₁₂₇	semidirect
631. #123	C₂×D₁₂₇	semidirect
632. #123	C₂×D₁₂₇	semidirect
641. C₂²⋊Q₈	C₂×D₁₂₇	semidirect
642. C₂²⋊Q₈	C₂×D₁₂₇	semidirect
643. C₂²⋊Q₈	C₂×D₁₂₇	semidirect
644. C₂²⋊Q₈	C₂×D₁₂₇	semidirect
677. #121	C₂×D₁₂₇	semidirect
678. #121	C₂×D₁₂₇	semidirect
679. #121	C₂×D₁₂₇	semidirect
680. #121	C₂×D₁₂₇	semidirect

Maximal subgroups

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

subgroup	index
#22550622	2
#22550616	2
#22550614	2
#22550579	2
#22550571	2
#22550554	2
#22550553	2
#22550523	2
#22550519	2
#22550518	2
#22550517	2
#22550510	2
#22550478	2
#22550476	2
#22550474	2
#22550472	2
#22550460	2
#22550458	2
#22550456	2
#22550437	2
#22550434	2
#22550389	2
#123×D₁₂₇	2
#121×D₁₂₇	2
#562×C₁₂₇	2
#3534	127