Subgroups — C₂×D₄×#6127 #16769879

Order 3328.

12314 conjugacy classes of subgroups.

The subgroup lattice has 1024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×#6127	C₂	1	2	yes	maximal, complemented
2	D₄×#6127	C₂	1	32	yes	maximal, direct product factor
3	C₂×#11719258	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₄×Dic₂₆	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719257	C₂	1	2	yes	maximal, complemented
6	C₂×#11719256	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719212	C₂	1	2	yes	maximal, complemented
8	C₂×#11719255	C₂	1	2	yes	maximal, complemented
9	C₂×#11719195	C₂	1	4	yes	maximal, complemented
10	C₂×D₄×D₅₂	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×D₄×C₂²⋊D₁₃	C₂	1	2	yes	maximal, complemented
12	C₂×#11719182	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719253	C₂	1	2	yes	maximal, complemented
14	C₂×#11719496	C₂	1	2	yes	maximal, complemented
15	C₂×#11719252	C₂	1	4	yes	maximal, complemented
16	C₂×C₄×#6127	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₄×D₄×D₁₃	C₂	1	2	yes	maximal, complemented
18	C₂²×C₄×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
20	C₂⁴×C₄×C₁₃	C₂²	1	2	yes	complemented
21	C₂³×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
22	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
23	C₂²×#6127	—	2	32	no	—
24	C₂²×#6127	C₂²	1	1	yes	characteristic
25	C₂²×#6127	C₂²	1	4	yes	complemented
26	C₂²×#6127	C₂²	1	2	yes	complemented
27	C₂²×#6127	C₂²	1	2	yes	complemented
28	C₂²×#6127	C₂²	1	4	yes	complemented
29	C₂²×#6127	C₂²	1	2	yes	complemented
30	C₂²×#6127	C₂²	1	32	yes	complemented
31	C₂³×D₅₂	C₂²	1	2	yes	complemented
32	C₂³×C₄×D₁₃	C₂²	1	4	yes	complemented
33	C₂³×Dic₂₆	C₂²	1	2	yes	complemented
34	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
37	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
39	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₄×D₄×C₁₃	C₂²	1	16	yes	complemented
41	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
43	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88207	C₂²	1	4	yes	complemented
45	C₂×#88194	C₂²	1	2	yes	complemented
46	C₂×#88193	C₂²	1	4	yes	complemented
47	D₄×C₂²⋊D₁₃	C₂²	1	32	yes	complemented
48	C₂×#88192	C₂²	1	2	yes	complemented
49	C₂×#88191	C₂²	1	4	yes	complemented
50	C₂×D₄×Dic₁₃	C₂²	1	2	yes	—
51	#11719496	C₂²	1	32	yes	complemented
52	C₂×#88184	C₂²	1	2	yes	complemented
53	C₂×#88184	C₂²	1	2	yes	complemented
54	C₂×#88184	C₂²	1	2	yes	complemented
55	C₂×#88184	C₂²	1	2	yes	complemented
56	C₂×#88183	C₂²	1	4	yes	complemented
57	C₂×C₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
58	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
59	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
60	C₂×C₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
61	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88178	C₂²	1	2	yes	complemented
63	C₂×#88178	C₂²	1	2	yes	complemented
64	#11719258	C₂²	1	16	yes	complemented
65	#11719257	C₂²	1	32	yes	complemented
66	#11719256	C₂²	1	16	yes	complemented
67	#11719255	C₂²	1	32	yes	complemented
68	D₄×D₅₂	C₂²	1	16	yes	complemented
69	#11719253	C₂²	1	32	yes	complemented
70	#11719252	C₂²	1	64	yes	complemented
71	C₄×D₄×D₁₃	C₂²	1	32	yes	complemented
72	D₄×Dic₂₆	C₂²	1	16	yes	complemented
73	C₂×#88150	C₂²	1	4	yes	complemented
74	#11719212	C₂²	1	32	yes	complemented
75	C₂×#88149	C₂²	1	2	yes	complemented
76	C₂×#88148	C₂²	1	4	yes	complemented
77	C₂×#88147	C₂²	1	2	yes	complemented
78	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
79	C₂×#88142	C₂²	1	2	yes	complemented
80	C₂×#88139	C₂²	1	4	yes	complemented
81	#11719195	C₂²	1	64	yes	complemented
82	C₂×#88138	C₂²	1	4	yes	complemented
83	C₂×#88138	C₂²	1	4	yes	complemented
84	C₂×#88137	C₂²	1	4	yes	complemented
85	C₂×#88136	C₂²	1	4	yes	complemented
86	C₂×#88135	C₂²	1	4	yes	complemented
87	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	complemented
88	C₂×#88132	C₂²	1	4	yes	complemented
89	#11719182	C₂²	1	16	yes	complemented
90	C₂×#88129	C₂²	1	2	yes	complemented
91	C₂×#88128	C₂²	1	1	yes	characteristic, complemented
92	C₄×#6127	C₂²	1	16	yes	complemented
93	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
94	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
97	C₂×#88126	C₂²	1	2	yes	complemented
98	C₂×C₄²×D₁₃	C₂²	1	2	yes	complemented
99	C₂×#88123	C₂²	1	1	yes	characteristic, complemented
100	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
101	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
102	C₂⁵×C₁₃	C₂³	1	2	yes	—
103	C₂⁴×D₁₃	C₂³	1	4	yes	—
104	C₂²×D₄×C₁₃	—	2	8	no	—
105	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
106	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
107	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
108	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
109	C₂³×C₄×C₁₃	—	2	16	no	—
110	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
111	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
112	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
113	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
114	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
115	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
116	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
117	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
118	C₂³×C₄×C₁₃	C₂³	1	16	yes	complemented
119	C₂²×C₂²⋊D₁₃	—	2	32	no	—
120	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
121	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
122	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
123	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
124	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
125	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
126	C₂²×C₂²⋊D₁₃	C₂³	1	32	yes	complemented
127	C₂³×Dic₁₃	C₂³	1	4	yes	—
128	C₂×D₄×D₁₃	—	2	16	no	—
129	C₂×D₄×D₁₃	C₂³	1	16	yes	—
130	C₂×#6127	—	2	16	no	—
131	C₂×#6127	—	2	32	no	—
132	C₂×#6127	—	2	256	no	—
133	C₂×#6127	—	2	16	no	—
134	C₂×#6127	—	2	32	no	—
135	C₂×#6127	—	2	16	no	—
136	C₂×#6127	D₄	1	16	yes	direct product factor
137	C₂×#6127	C₂³	1	8	yes	—
138	C₂×#6127	C₂³	1	16	yes	complemented
139	C₂×#6127	C₂³	1	32	yes	complemented
140	C₂×#6127	C₂³	1	32	yes	complemented
141	C₂×#6127	C₂³	1	16	yes	complemented
142	C₂×#6127	C₂³	1	16	yes	complemented
143	C₂²×D₅₂	—	2	16	no	—
144	C₂²×D₅₂	C₂³	1	2	yes	—
145	C₂²×D₅₂	C₂³	1	2	yes	—
146	C₂²×D₅₂	C₂³	1	4	yes	—
147	C₂²×D₅₂	C₂³	1	2	yes	—
148	C₂²×D₅₂	C₂³	1	1	yes	characteristic
149	C₂²×D₅₂	C₂³	1	16	yes	complemented
150	C₂²×C₄×D₁₃	—	2	32	no	—
151	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
152	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
153	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
154	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
155	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
156	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
157	C₂²×C₄×D₁₃	C₂³	1	32	yes	complemented
158	C₂²×Dic₂₆	—	2	16	no	—
159	C₂²×Dic₂₆	C₂³	1	2	yes	—
160	C₂²×Dic₂₆	C₂³	1	4	yes	—
161	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
162	C₂²×Dic₂₆	C₂³	1	16	yes	complemented
163	C₄×D₄×C₁₃	C₂³	1	8	yes	—
164	C₄×D₄×C₁₃	C₂³	1	8	yes	—
165	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
166	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
167	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
168	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
169	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
170	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
171	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
173	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
178	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
179	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
180	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
181	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
182	C₂×C₄²×C₁₃	C₂³	1	8	yes	complemented
183	#88207	C₂³	1	32	yes	complemented
184	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	—
185	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	—
186	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
187	#88194	C₂³	1	16	yes	complemented
188	#88193	C₂³	1	32	yes	complemented
189	#88192	C₂³	1	16	yes	complemented
190	#88191	C₂³	1	32	yes	complemented
191	D₄×Dic₁₃	C₂³	1	16	yes	—
192	#88184	C₂³	1	16	yes	complemented
193	#88184	C₂³	1	16	yes	complemented
194	#88184	C₂³	1	16	yes	complemented
195	#88184	C₂³	1	16	yes	complemented
196	#88183	C₂³	1	32	yes	complemented
197	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
198	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
199	C₄×C₂²⋊D₁₃	C₂³	1	32	yes	complemented
200	C₄×C₂²⋊D₁₃	C₂³	1	32	yes	complemented
201	C₂×#6103	C₂³	1	2	yes	—
202	C₂×#6103	C₂³	1	2	yes	—
203	C₂×#6103	C₂³	1	4	yes	—
204	C₂×#6103	C₂³	1	4	yes	—
205	C₂×#6103	C₂³	1	4	yes	—
206	C₂×#6103	C₂³	1	4	yes	—
207	#88180	C₂³	1	8	yes	complemented
208	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
211	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
212	#88178	C₂³	1	16	yes	complemented
213	#88178	C₂³	1	16	yes	complemented
214	C₂×#6101	C₂³	1	2	yes	—
215	C₂×#6101	C₂³	1	2	yes	—
216	C₂×#6101	C₂³	1	4	yes	—
217	C₂×#6101	C₂³	1	4	yes	—
218	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
219	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
220	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
221	#88150	C₂³	1	32	yes	complemented
222	#88149	C₂³	1	16	yes	complemented
223	#88148	C₂³	1	32	yes	complemented
224	#88147	C₂³	1	16	yes	complemented
225	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
226	#88142	C₂³	1	16	yes	complemented
227	#88139	C₂³	1	32	yes	complemented
228	#88138	C₂³	1	32	yes	complemented
229	#88138	C₂³	1	32	yes	complemented
230	#88137	C₂³	1	32	yes	complemented
231	#88136	C₂³	1	32	yes	complemented
232	#88135	C₂³	1	32	yes	complemented
233	C₂²⋊C₄×D₁₃	C₂³	1	32	yes	complemented
234	#88132	C₂³	1	32	yes	complemented
235	#88129	C₂³	1	16	yes	complemented
236	#88128	C₂³	1	8	yes	complemented
237	C₄×D₅₂	C₂³	1	8	yes	complemented
238	C₄×D₅₂	C₂³	1	8	yes	complemented
239	C₄×D₅₂	C₂³	1	16	yes	complemented
240	C₄×D₅₂	C₂³	1	16	yes	complemented
241	#88126	C₂³	1	16	yes	complemented
242	C₄²×D₁₃	C₂³	1	16	yes	complemented
243	#88123	C₂³	1	8	yes	complemented
244	C₄×Dic₂₆	C₂³	1	8	yes	complemented
245	C₄×Dic₂₆	C₂³	1	8	yes	complemented
246	C₂×D₄×#41	—	13	1	no	maximal, Sylow
247	C₂⁴×C₁₃	—	2	8	no	—
248	C₂⁴×C₁₃	—	2	8	no	—
249	C₂⁴×C₁₃	—	4	4	no	—
250	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
251	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
252	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
253	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
254	C₂³×D₁₃	—	2	16	no	—
255	C₂³×D₁₃	—	2	16	no	—
256	C₂³×D₁₃	—	4	8	no	—
257	C₂³×D₁₃	C₂⁴	1	4	yes	—
258	C₂³×D₁₃	C₂⁴	1	16	yes	—
259	C₂³×D₁₃	C₂⁴	1	2	yes	—
260	C₂×D₄×C₁₃	—	2	8	no	—
261	C₂×D₄×C₁₃	—	2	32	no	—
262	C₂×D₄×C₁₃	—	2	4	no	—
263	C₂×D₄×C₁₃	#41	1	8	yes	complemented
264	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
265	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
266	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
267	C₂²×C₄×C₁₃	—	2	8	no	—
268	C₂²×C₄×C₁₃	—	2	8	no	—
269	C₂²×C₄×C₁₃	—	2	8	no	—
270	C₂²×C₄×C₁₃	—	2	8	no	—
271	C₂²×C₄×C₁₃	—	2	8	no	—
272	C₂²×C₄×C₁₃	—	2	64	no	—
273	C₂²×C₄×C₁₃	—	2	4	no	—
274	C₂²×C₄×C₁₃	—	4	2	no	—
275	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	complemented
276	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
277	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
278	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
279	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
280	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
281	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
282	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
283	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
284	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
285	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
286	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
287	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
288	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
290	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
291	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
292	C₂×C₂²⋊D₁₃	—	2	16	no	—
293	C₂×C₂²⋊D₁₃	—	2	16	no	—
294	C₂×C₂²⋊D₁₃	—	2	16	no	—
295	C₂×C₂²⋊D₁₃	—	2	128	no	—
296	C₂×C₂²⋊D₁₃	—	2	16	no	—
297	C₂×C₂²⋊D₁₃	—	4	8	no	—
298	C₂×C₂²⋊D₁₃	C₂×D₄	1	16	yes	complemented
299	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
300	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
301	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
302	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
303	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
304	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
305	C₂²×Dic₁₃	—	2	16	no	—
306	C₂²×Dic₁₃	C₂⁴	1	16	yes	—
307	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
308	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
309	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
310	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
311	D₄×D₁₃	—	2	64	no	—
312	#6127	—	2	64	no	—
313	#6127	—	2	128	no	—
314	#6127	—	2	64	no	—
315	#6127	—	2	128	no	—
316	#6127	—	2	64	no	—
317	#6127	C₂×D₄	1	64	yes	direct product factor
318	C₂×D₅₂	—	2	16	no	—
319	C₂×D₅₂	—	2	8	no	—
320	C₂×D₅₂	—	2	8	no	—
321	C₂×D₅₂	—	2	64	no	—
322	C₂×D₅₂	—	4	4	no	—
323	C₂×D₅₂	C₂×D₄	1	8	yes	complemented
324	C₂×D₅₂	C₂⁴	1	8	yes	—
325	C₂×D₅₂	C₂⁴	1	8	yes	—
326	C₂×D₅₂	C₂⁴	1	16	yes	—
327	C₂×D₅₂	C₂⁴	1	8	yes	—
328	C₂×D₅₂	C₂⁴	1	4	yes	—
329	C₂×C₄×D₁₃	—	2	16	no	—
330	C₂×C₄×D₁₃	—	2	16	no	—
331	C₂×C₄×D₁₃	—	2	8	no	—
332	C₂×C₄×D₁₃	—	2	16	no	—
333	C₂×C₄×D₁₃	—	2	128	no	—
334	C₂×C₄×D₁₃	—	4	4	no	—
335	C₂×C₄×D₁₃	C₂×D₄	1	16	yes	complemented
336	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
337	C₂×C₄×D₁₃	C₂⁴	1	16	yes	—
338	C₂×C₄×D₁₃	C₂⁴	1	16	yes	—
339	C₂×C₄×D₁₃	C₂⁴	1	16	yes	—
340	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
341	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
342	C₂×Dic₂₆	—	2	8	no	—
343	C₂×Dic₂₆	—	2	16	no	—
344	C₂×Dic₂₆	—	2	64	no	—
345	C₂×Dic₂₆	C₂×D₄	1	8	yes	complemented
346	C₂×Dic₂₆	C₂⁴	1	8	yes	—
347	C₂×Dic₂₆	C₂⁴	1	16	yes	—
348	C₂×Dic₂₆	C₂⁴	1	4	yes	—
349	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
350	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
351	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
352	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
353	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
354	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
355	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
356	C₄²×C₁₃	C₂⁴	1	4	yes	—
357	C₄²×C₁₃	C₂⁴	1	4	yes	—
358	C₄²×C₁₃	C₂⁴	1	4	yes	—
359	C₄²×C₁₃	C₂⁴	1	4	yes	—
360	C₂²⋊Dic₁₃	C₂⁴	1	16	yes	—
361	C₂²⋊Dic₁₃	C₂⁴	1	16	yes	—
362	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
363	#6103	C₂⁴	1	8	yes	—
364	#6103	C₂⁴	1	8	yes	—
365	#6103	C₂⁴	1	16	yes	—
366	#6103	C₂⁴	1	16	yes	—
367	#6103	C₂⁴	1	16	yes	—
368	#6103	C₂⁴	1	16	yes	—
369	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
370	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
371	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
372	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
373	#6101	C₂⁴	1	8	yes	—
374	#6101	C₂⁴	1	8	yes	—
375	#6101	C₂⁴	1	16	yes	—
376	#6101	C₂⁴	1	16	yes	—
377	C₄×Dic₁₃	C₂⁴	1	8	yes	—
378	C₄×Dic₁₃	C₂⁴	1	8	yes	—
379	C₄×Dic₁₃	C₂⁴	1	8	yes	—
380	C₂³×#41	—	13	2	no	—
381	D₄×#41	—	13	32	no	—
382	C₂×#550	—	13	1	no	—
383	C₂×D₄×Q₈	—	13	1	no	—
384	C₂×#548	—	13	2	no	—
385	C₂×#547	—	13	1	no	—
386	C₂×#547	—	13	2	no	—
387	C₂×#546	—	13	2	no	—
388	C₂×#546	—	13	4	no	—
389	C₂×D₄²	—	13	2	no	—
390	C₂×D₄²	—	13	1	no	—
391	C₂×#532	—	13	1	no	—
392	C₂×#532	—	13	2	no	—
393	C₂×#525	—	13	2	no	—
394	C₂×#525	—	13	4	no	—
395	C₂×C₄×#41	—	13	1	no	—
396	C₂²×C₄×D₄	—	13	2	no	—
397	C₂²×C₄×D₄	D₁₃	1	1	yes	characteristic, complemented
398	C₂³×C₁₃	—	2	4	no	—
399	C₂³×C₁₃	—	2	2	no	—
400	C₂³×C₁₃	—	2	2	no	—
401	C₂³×C₁₃	—	2	4	no	—
402	C₂³×C₁₃	—	2	16	no	—
403	C₂³×C₁₃	—	2	4	no	—
404	C₂³×C₁₃	—	2	4	no	—
405	C₂³×C₁₃	—	2	16	no	—
406	C₂³×C₁₃	—	2	4	no	—
407	C₂³×C₁₃	—	4	8	no	—
408	C₂³×C₁₃	—	4	32	no	—
409	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
410	C₂³×C₁₃	C₂×#41	1	8	yes	complemented
411	C₂³×C₁₃	C₂⁵	1	4	yes	—
412	C₂³×C₁₃	C₂⁵	1	2	yes	—
413	C₂³×C₁₃	C₂⁵	1	4	yes	—
414	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
415	C₂²×D₁₃	—	2	4	no	—
416	C₂²×D₁₃	—	2	4	no	—
417	C₂²×D₁₃	—	2	8	no	—
418	C₂²×D₁₃	—	2	8	no	—
419	C₂²×D₁₃	—	2	32	no	—
420	C₂²×D₁₃	—	2	8	no	—
421	C₂²×D₁₃	—	2	32	no	—
422	C₂²×D₁₃	—	4	16	no	—
423	C₂²×D₁₃	—	4	64	no	—
424	C₂²×D₁₃	C₂²×D₄	1	8	yes	—
425	C₂²×D₁₃	C₂⁵	1	8	yes	—
426	C₂²×D₁₃	C₂⁵	1	4	yes	—
427	D₄×C₁₃	—	2	16	no	—
428	D₄×C₁₃	—	2	8	no	—
429	D₄×C₁₃	C₂×#41	1	16	yes	complemented
430	C₂×C₄×C₁₃	—	2	4	no	—
431	C₂×C₄×C₁₃	—	2	4	no	—
432	C₂×C₄×C₁₃	—	2	16	no	—
433	C₂×C₄×C₁₃	—	2	2	no	—
434	C₂×C₄×C₁₃	—	2	2	no	—
435	C₂×C₄×C₁₃	—	2	2	no	—
436	C₂×C₄×C₁₃	—	2	16	no	—
437	C₂×C₄×C₁₃	—	2	16	no	—
438	C₂×C₄×C₁₃	—	2	16	no	—
439	C₂×C₄×C₁₃	—	2	16	no	—
440	C₂×C₄×C₁₃	—	2	8	no	—
441	C₂×C₄×C₁₃	—	4	4	no	—
442	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
443	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
444	C₂×C₄×C₁₃	C₂²×D₄	1	16	yes	complemented
445	C₂×C₄×C₁₃	C₂×#41	1	4	yes	complemented
446	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
447	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
448	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
449	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
450	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
451	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
452	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
453	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
454	C₂²⋊D₁₃	—	2	32	no	—
455	C₂²⋊D₁₃	—	2	32	no	—
456	C₂²⋊D₁₃	—	2	32	no	—
457	C₂²⋊D₁₃	—	2	32	no	—
458	C₂²⋊D₁₃	—	4	16	no	—
459	C₂²⋊D₁₃	C₂²×D₄	1	32	yes	complemented
460	C₂×Dic₁₃	—	2	8	no	—
461	C₂×Dic₁₃	—	2	4	no	—
462	C₂×Dic₁₃	—	2	4	no	—
463	C₂×Dic₁₃	—	2	32	no	—
464	C₂×Dic₁₃	C₂²×D₄	1	8	yes	—
465	C₂×Dic₁₃	C₂⁵	1	4	yes	—
466	C₂×Dic₁₃	C₂⁵	1	4	yes	—
467	C₂×Dic₁₃	C₂⁵	1	8	yes	—
468	C₂×Dic₁₃	C₂⁵	1	4	yes	—
469	D₅₂	—	2	32	no	—
470	D₅₂	—	2	16	no	—
471	D₅₂	—	2	16	no	—
472	D₅₂	—	4	8	no	—
473	D₅₂	C₂²×D₄	1	16	yes	complemented
474	C₄×D₁₃	—	2	32	no	—
475	C₄×D₁₃	—	2	32	no	—
476	C₄×D₁₃	—	2	16	no	—
477	C₄×D₁₃	—	2	32	no	—
478	C₄×D₁₃	—	4	8	no	—
479	C₄×D₁₃	C₂²×D₄	1	32	yes	complemented
480	Dic₂₆	—	2	16	no	—
481	Dic₂₆	—	2	32	no	—
482	Dic₂₆	C₂²×D₄	1	16	yes	complemented
483	C₂²×#41	—	13	1	no	—
484	C₂²×#41	—	13	4	no	—
485	C₂²×#41	—	13	2	no	—
486	C₂²×#41	—	13	2	no	—
487	C₂²×#41	—	13	4	no	—
488	C₂²×#41	—	13	2	no	—
489	C₂²×#41	—	13	32	no	—
490	C₂²×#41	—	26	32	no	—
491	C₂³×Q₈	—	13	2	no	—
492	C₂³×D₄	—	13	4	no	—
493	C₂³×D₄	—	13	2	no	—
494	C₂³×D₄	—	13	2	no	—
495	C₂³×D₄	C₂×D₁₃	1	1	yes	characteristic
496	C₂⁴×C₄	—	13	4	no	—
497	C₂⁴×C₄	C₂×D₁₃	1	2	yes	complemented
498	#550	—	13	16	no	—
499	D₄×Q₈	—	13	16	no	—
500	#548	—	13	32	no	—
501	#547	—	13	16	no	—
502	#547	—	13	32	no	—
503	#546	—	13	32	no	—
504	#546	—	13	64	no	—
505	D₄²	—	13	32	no	—
506	D₄²	—	13	16	no	—
507	#532	—	13	32	no	—
508	#532	—	13	16	no	—
509	C₂×C₄⋊Q₈	—	13	2	no	—
510	C₂×C₄⋊Q₈	—	13	1	no	—
511	C₂×#127	—	13	2	no	—
512	C₂×#127	—	13	1	no	—
513	C₂×#124	—	13	4	no	—
514	C₂×#124	—	13	2	no	—
515	#525	—	13	32	no	—
516	#525	—	13	64	no	—
517	C₂×#123	—	13	4	no	—
518	C₂×#123	—	13	4	no	—
519	C₂×#123	—	13	4	no	—
520	C₂×C₂²⋊Q₈	—	13	2	no	—
521	C₂×C₂²⋊Q₈	—	13	2	no	—
522	C₂×C₂²⋊Q₈	—	13	4	no	—
523	C₂×C₂²⋊Q₈	—	13	4	no	—
524	C₂×#121	—	13	2	no	—
525	C₂×#121	—	13	4	no	—
526	C₂×#121	—	13	2	no	—
527	C₂×#121	—	13	2	no	—
528	C₂×#121	—	13	2	no	—
529	C₂×#121	—	13	2	no	—
530	C₂×#121	—	13	2	no	—
531	C₂×#121	—	13	4	no	—
532	C₂×#121	—	13	4	no	—
533	C₂×#120	—	13	4	no	—
534	C₂×#120	—	13	4	no	—
535	C₂×#120	—	13	4	no	—
536	C₄×#41	—	13	16	no	—
537	C₂×C₄×Q₈	—	13	1	no	—
538	C₂×C₄×Q₈	—	13	1	no	—
539	C₂×C₄×D₄	—	13	2	no	—
540	C₂×C₄×D₄	—	13	4	no	—
541	C₂×C₄×D₄	—	13	2	no	—
542	C₂×C₄×D₄	—	13	2	no	—
543	C₂×C₄×D₄	—	13	4	no	—
544	C₂×C₄×D₄	—	13	32	no	—
545	C₂×C₄×D₄	—	13	2	no	—
546	C₂×C₄×D₄	—	13	4	no	—
547	C₂×C₄×D₄	—	13	2	no	—
548	C₂×C₄×D₄	—	13	1	no	—
549	C₂×C₄×D₄	—	13	1	no	—
550	C₂×C₄×D₄	—	13	2	no	—
551	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
552	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
553	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
554	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
555	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
556	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
557	C₂×C₄×D₄	C₂×D₁₃	1	16	yes	complemented
558	C₂×#117	—	13	1	no	—
559	C₂×#117	—	13	2	no	—
560	C₂²×C₄⋊C₄	—	13	2	no	—
561	C₂²×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
562	C₂²×C₂²⋊C₄	—	13	4	no	—
563	C₂²×C₂²⋊C₄	C₂×D₁₃	1	2	yes	complemented
564	C₂²×C₄²	—	13	2	no	—
565	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
566	C₂²×C₁₃	—	2	4	no	—
567	C₂²×C₁₃	—	2	2	no	—
568	C₂²×C₁₃	—	2	2	no	—
569	C₂²×C₁₃	—	2	4	no	—
570	C₂²×C₁₃	—	2	16	no	—
571	C₂²×C₁₃	—	2	8	no	—
572	C₂²×C₁₃	—	2	4	no	—
573	C₂²×C₁₃	—	2	4	no	—
574	C₂²×C₁₃	—	2	4	no	—
575	C₂²×C₁₃	—	4	32	no	—
576	C₂²×C₁₃	—	4	8	no	—
577	C₂²×C₁₃	C₂³×D₄	1	4	yes	—
578	C₂²×C₁₃	C₂³×D₄	1	2	yes	—
579	C₂²×C₁₃	C₂²×#41	1	2	yes	—
580	C₂²×C₁₃	C₂²×#41	1	8	yes	complemented
581	C₂²×C₁₃	#585	1	2	yes	—
582	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
583	C₂×D₁₃	—	2	4	no	—
584	C₂×D₁₃	—	2	4	no	—
585	C₂×D₁₃	—	2	16	no	—
586	C₂×D₁₃	—	2	8	no	—
587	C₂×D₁₃	—	2	8	no	—
588	C₂×D₁₃	—	2	8	no	—
589	C₂×D₁₃	—	4	64	no	—
590	C₂×D₁₃	—	4	16	no	—
591	C₂×D₁₃	C₂³×D₄	1	8	yes	—
592	C₄×C₁₃	—	2	4	no	—
593	C₄×C₁₃	—	2	4	no	—
594	C₄×C₁₃	—	2	2	no	—
595	C₄×C₁₃	—	2	2	no	—
596	C₄×C₁₃	—	2	2	no	—
597	C₄×C₁₃	C₂³×D₄	1	4	yes	—
598	C₄×C₁₃	C₂³×D₄	1	4	yes	—
599	C₄×C₁₃	C₂²×#41	1	4	yes	complemented
600	Dic₁₃	—	2	8	no	—
601	Dic₁₃	—	2	4	no	—
602	Dic₁₃	—	2	4	no	—
603	Dic₁₃	C₂³×D₄	1	8	yes	—
604	C₂⁵	—	13	4	no	—
605	C₂⁵	C₂²×D₁₃	1	2	yes	—
606	C₂×#41	—	13	16	no	—
607	C₂×#41	—	13	8	no	—
608	C₂×#41	—	13	32	no	—
609	C₂×#41	—	13	16	no	—
610	C₂×#41	—	13	16	no	—
611	C₂×#41	—	13	32	no	—
612	C₂×#41	—	13	16	no	—
613	C₂×#41	—	26	32	no	—
614	C₂×#41	—	26	32	no	—
615	C₂×#41	—	26	16	no	—
616	C₂×#41	—	26	16	no	—
617	C₂×#41	—	26	256	no	—
618	C₂×#41	—	26	16	no	—
619	C₂²×Q₈	—	13	1	no	—
620	C₂²×Q₈	—	13	4	no	—
621	C₂²×Q₈	—	13	2	no	—
622	C₂²×Q₈	—	13	16	no	—
623	C₂²×Q₈	—	26	16	no	—
624	C₂²×D₄	—	2	8	no	—
625	C₂²×D₄	—	13	2	no	—
626	C₂²×D₄	—	13	4	no	—
627	C₂²×D₄	—	13	4	no	—
628	C₂²×D₄	—	13	4	no	—
629	C₂²×D₄	—	13	4	no	—
630	C₂²×D₄	—	13	32	no	—
631	C₂²×D₄	—	13	4	no	—
632	C₂²×D₄	—	13	16	no	—
633	C₂²×D₄	—	13	1	no	—
634	C₂²×D₄	—	13	2	no	—
635	C₂²×D₄	—	13	4	no	—
636	C₂²×D₄	—	13	2	no	—
637	C₂²×D₄	—	13	16	no	—
638	C₂²×D₄	—	13	2	no	—
639	C₂²×D₄	—	26	16	no	—
640	C₂²×D₄	—	26	32	no	—
641	C₂²×D₄	—	26	16	no	—
642	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
643	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
644	C₂²×D₄	C₂²×D₁₃	1	8	yes	—
645	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
646	C₂³×C₄	—	2	16	no	—
647	C₂³×C₄	—	13	2	no	—
648	C₂³×C₄	—	13	4	no	—
649	C₂³×C₄	—	13	4	no	—
650	C₂³×C₄	—	13	2	no	—
651	C₂³×C₄	—	13	4	no	—
652	C₂³×C₄	—	13	32	no	—
653	C₂³×C₄	—	13	4	no	—
654	C₂³×C₄	—	13	2	no	—
655	C₂³×C₄	—	26	32	no	—
656	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
657	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
658	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
659	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
660	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
661	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
662	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
663	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
664	C₂³×C₄	C₂²×D₁₃	1	16	yes	complemented
665	C₄⋊Q₈	—	13	16	no	—
666	C₄⋊Q₈	—	13	8	no	—
667	#127	—	13	16	no	—
668	#127	—	13	8	no	—
669	#124	—	13	32	no	—
670	#124	—	13	16	no	—
671	#123	—	13	32	no	—
672	#123	—	13	32	no	—
673	#123	—	13	32	no	—
674	C₂²⋊Q₈	—	13	16	no	—
675	C₂²⋊Q₈	—	13	16	no	—
676	C₂²⋊Q₈	—	13	32	no	—
677	C₂²⋊Q₈	—	13	32	no	—
678	#121	—	13	32	no	—
679	#121	—	13	16	no	—
680	#121	—	13	16	no	—
681	#121	—	13	16	no	—
682	#121	—	13	16	no	—
683	#121	—	13	16	no	—
684	#121	—	13	16	no	—
685	#121	—	13	32	no	—
686	#121	—	13	32	no	—
687	#120	—	13	32	no	—
688	#120	—	13	32	no	—
689	#120	—	13	32	no	—
690	C₄×Q₈	—	13	8	no	—
691	C₄×Q₈	—	13	8	no	—
692	C₄×D₄	—	13	16	no	—
693	C₄×D₄	—	13	32	no	—
694	C₄×D₄	—	13	16	no	—
695	C₄×D₄	—	13	16	no	—
696	C₄×D₄	—	13	32	no	—
697	C₄×D₄	—	13	16	no	—
698	C₄×D₄	—	13	32	no	—
699	C₄×D₄	—	13	16	no	—
700	C₄×D₄	—	13	8	no	—
701	C₄×D₄	—	13	8	no	—
702	C₄×D₄	—	13	16	no	—
703	C₄×D₄	C₂²×D₁₃	1	8	yes	—
704	C₄×D₄	C₂²×D₁₃	1	8	yes	—
705	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
706	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
707	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
708	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
709	#117	—	13	8	no	—
710	#117	—	13	16	no	—
711	C₂×C₄⋊C₄	—	13	2	no	—
712	C₂×C₄⋊C₄	—	13	4	no	—
713	C₂×C₄⋊C₄	—	13	2	no	—
714	C₂×C₄⋊C₄	—	13	2	no	—
715	C₂×C₄⋊C₄	—	13	1	no	—
716	C₂×C₄⋊C₄	—	13	1	no	—
717	C₂×C₄⋊C₄	—	13	4	no	—
718	C₂×C₄⋊C₄	—	13	2	no	—
719	C₂×C₄⋊C₄	—	13	16	no	—
720	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
721	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
723	C₂×C₄⋊C₄	C₂²×D₁₃	1	8	yes	complemented
724	C₂×C₂²⋊C₄	—	13	4	no	—
725	C₂×C₂²⋊C₄	—	13	2	no	—
726	C₂×C₂²⋊C₄	—	13	4	no	—
727	C₂×C₂²⋊C₄	—	13	4	no	—
728	C₂×C₂²⋊C₄	—	13	4	no	—
729	C₂×C₂²⋊C₄	—	13	2	no	—
730	C₂×C₂²⋊C₄	—	13	2	no	—
731	C₂×C₂²⋊C₄	—	13	4	no	—
732	C₂×C₂²⋊C₄	—	13	4	no	—
733	C₂×C₂²⋊C₄	—	13	32	no	—
734	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
735	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
736	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
737	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
738	C₂×C₂²⋊C₄	C₂²×D₁₃	1	16	yes	complemented
739	C₂×C₄²	—	13	2	no	—
740	C₂×C₄²	—	13	2	no	—
741	C₂×C₄²	—	13	2	no	—
742	C₂×C₄²	—	13	16	no	—
743	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
744	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
745	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
746	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
747	C₂×C₄²	C₂²×D₁₃	1	8	yes	complemented
748	C₂×C₁₃	—	2	8	no	—
749	C₂×C₁₃	—	2	4	no	—
750	C₂×C₁₃	—	4	4	no	—
751	C₂×C₁₃	D₄×#41	1	4	yes	complemented
752	C₂×C₁₃	C₂⁴×D₄	1	1	yes	characteristic
753	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
754	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
755	D₁₃	—	2	8	no	—
756	D₁₃	—	4	8	no	—
757	C₂⁴	—	2	8	no	—
758	C₂⁴	—	2	8	no	—
759	C₂⁴	—	4	4	no	—
760	C₂⁴	—	13	2	no	—
761	C₂⁴	—	13	4	no	—
762	C₂⁴	—	13	16	no	—
763	C₂⁴	—	26	16	no	—
764	C₂⁴	—	26	16	no	—
765	C₂⁴	—	52	8	no	—
766	C₂⁴	C₂³×D₁₃	1	2	yes	—
767	C₂⁴	C₂³×D₁₃	1	8	yes	—
768	C₂⁴	C₂³×D₁₃	1	2	yes	—
769	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
770	#41	—	13	64	no	—
771	#41	—	26	128	no	—
772	#41	—	26	128	no	—
773	#41	—	26	64	no	—
774	#41	—	26	64	no	—
775	#41	—	26	64	no	—
776	C₂×Q₈	—	13	8	no	—
777	C₂×Q₈	—	13	4	no	—
778	C₂×Q₈	—	13	16	no	—
779	C₂×Q₈	—	13	8	no	—
780	C₂×Q₈	—	26	16	no	—
781	C₂×Q₈	—	26	64	no	—
782	C₂×Q₈	—	26	8	no	—
783	C₂×D₄	—	2	8	no	—
784	C₂×D₄	—	2	32	no	—
785	C₂×D₄	—	2	4	no	—
786	C₂×D₄	—	13	16	no	—
787	C₂×D₄	—	13	8	no	—
788	C₂×D₄	—	13	16	no	—
789	C₂×D₄	—	13	16	no	—
790	C₂×D₄	—	13	16	no	—
791	C₂×D₄	—	13	16	no	—
792	C₂×D₄	—	13	16	no	—
793	C₂×D₄	—	13	8	no	—
794	C₂×D₄	—	13	4	no	—
795	C₂×D₄	—	13	8	no	—
796	C₂×D₄	—	13	16	no	—
797	C₂×D₄	—	13	8	no	—
798	C₂×D₄	—	13	8	no	—
799	C₂×D₄	—	26	64	no	—
800	C₂×D₄	—	26	16	no	—
801	C₂×D₄	—	26	16	no	—
802	C₂×D₄	—	26	128	no	—
803	C₂×D₄	—	26	16	no	—
804	C₂×D₄	—	26	16	no	—
805	C₂×D₄	—	26	16	no	—
806	C₂×D₄	—	26	64	no	—
807	C₂×D₄	—	26	8	no	—
808	C₂×D₄	—	26	8	no	—
809	C₂×D₄	—	52	4	no	—
810	C₂×D₄	—	52	8	no	—
811	C₂×D₄	#6127	1	8	yes	direct product factor
812	C₂×D₄	C₂³×D₁₃	1	8	yes	—
813	C₂×D₄	C₂³×D₁₃	1	4	yes	—
814	C₂×D₄	C₂³×D₁₃	1	4	yes	—
815	C₂²×C₄	—	2	8	no	—
816	C₂²×C₄	—	2	4	no	—
817	C₂²×C₄	—	2	8	no	—
818	C₂²×C₄	—	2	8	no	—
819	C₂²×C₄	—	2	8	no	—
820	C₂²×C₄	—	2	8	no	—
821	C₂²×C₄	—	2	64	no	—
822	C₂²×C₄	—	4	2	no	—
823	C₂²×C₄	—	13	2	no	—
824	C₂²×C₄	—	13	16	no	—
825	C₂²×C₄	—	13	8	no	—
826	C₂²×C₄	—	13	2	no	—
827	C₂²×C₄	—	13	2	no	—
828	C₂²×C₄	—	13	4	no	—
829	C₂²×C₄	—	13	16	no	—
830	C₂²×C₄	—	13	8	no	—
831	C₂²×C₄	—	13	16	no	—
832	C₂²×C₄	—	13	16	no	—
833	C₂²×C₄	—	13	16	no	—
834	C₂²×C₄	—	13	8	no	—
835	C₂²×C₄	—	26	16	no	—
836	C₂²×C₄	—	26	128	no	—
837	C₂²×C₄	—	26	16	no	—
838	C₂²×C₄	—	26	16	no	—
839	C₂²×C₄	—	26	8	no	—
840	C₂²×C₄	—	26	16	no	—
841	C₂²×C₄	—	52	4	no	—
842	C₂²×C₄	D₄×D₁₃	1	8	yes	complemented
843	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
844	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
845	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
846	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
847	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
848	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
849	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
850	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
851	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
852	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
853	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
854	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
855	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
856	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
857	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
858	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
859	C₄⋊C₄	—	13	8	no	—
860	C₄⋊C₄	—	13	16	no	—
861	C₄⋊C₄	—	13	8	no	—
862	C₄⋊C₄	—	13	8	no	—
863	C₄⋊C₄	—	13	4	no	—
864	C₄⋊C₄	—	13	4	no	—
865	C₄⋊C₄	—	13	16	no	—
866	C₄⋊C₄	—	13	8	no	—
867	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
868	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
869	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
870	C₂²⋊C₄	—	13	16	no	—
871	C₂²⋊C₄	—	13	8	no	—
872	C₂²⋊C₄	—	13	16	no	—
873	C₂²⋊C₄	—	13	16	no	—
874	C₂²⋊C₄	—	13	16	no	—
875	C₂²⋊C₄	—	13	8	no	—
876	C₂²⋊C₄	—	13	8	no	—
877	C₂²⋊C₄	—	13	16	no	—
878	C₂²⋊C₄	—	13	16	no	—
879	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
880	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
881	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
882	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
883	C₄²	—	13	8	no	—
884	C₄²	—	13	8	no	—
885	C₄²	—	13	8	no	—
886	C₄²	C₂³×D₁₃	1	4	yes	—
887	C₄²	C₂³×D₁₃	1	4	yes	—
888	C₄²	C₂³×D₁₃	1	4	yes	—
889	C₄²	C₂³×D₁₃	1	4	yes	—
890	C₁₃	C₂×D₄×#41	1	1	yes	characteristic, complemented, Sylow
891	C₂³	—	2	2	no	—
892	C₂³	—	2	4	no	—
893	C₂³	—	2	2	no	—
894	C₂³	—	2	4	no	—
895	C₂³	—	2	4	no	—
896	C₂³	—	2	16	no	—
897	C₂³	—	2	16	no	—
898	C₂³	—	2	4	no	—
899	C₂³	—	2	4	no	—
900	C₂³	—	4	8	no	—
901	C₂³	—	4	32	no	—
902	C₂³	—	13	8	no	—
903	C₂³	—	13	4	no	—
904	C₂³	—	13	8	no	—
905	C₂³	—	26	32	no	—
906	C₂³	—	26	4	no	—
907	C₂³	—	26	4	no	—
908	C₂³	—	26	8	no	—
909	C₂³	—	26	32	no	—
910	C₂³	—	26	8	no	—
911	C₂³	—	26	8	no	—
912	C₂³	—	52	16	no	—
913	C₂³	—	52	64	no	—
914	C₂³	C₂×#6127	1	8	yes	complemented
915	C₂³	C₂×D₄×D₁₃	1	4	yes	—
916	C₂³	C₂⁴×D₁₃	1	4	yes	—
917	C₂³	C₂⁴×D₁₃	1	4	yes	—
918	C₂³	C₂⁴×D₁₃	1	2	yes	—
919	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
920	Q₈	—	13	16	no	—
921	Q₈	—	26	32	no	—
922	Q₈	—	26	16	no	—
923	D₄	—	2	16	no	—
924	D₄	—	2	8	no	—
925	D₄	—	13	32	no	—
926	D₄	—	13	16	no	—
927	D₄	—	26	32	no	—
928	D₄	—	26	32	no	—
929	D₄	—	26	32	no	—
930	D₄	—	26	32	no	—
931	D₄	—	26	32	no	—
932	D₄	—	26	16	no	—
933	D₄	—	26	16	no	—
934	D₄	—	52	8	no	—
935	D₄	—	52	16	no	—
936	D₄	C₂×#6127	1	16	yes	direct product factor
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	4	no	—
939	C₂×C₄	—	2	4	no	—
940	C₂×C₄	—	2	16	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	8	no	—
944	C₂×C₄	—	2	16	no	—
945	C₂×C₄	—	2	16	no	—
946	C₂×C₄	—	2	16	no	—
947	C₂×C₄	—	2	16	no	—
948	C₂×C₄	—	4	4	no	—
949	C₂×C₄	—	13	8	no	—
950	C₂×C₄	—	13	4	no	—
951	C₂×C₄	—	13	32	no	—
952	C₂×C₄	—	13	4	no	—
953	C₂×C₄	—	13	4	no	—
954	C₂×C₄	—	13	8	no	—
955	C₂×C₄	—	26	32	no	—
956	C₂×C₄	—	26	32	no	—
957	C₂×C₄	—	26	32	no	—
958	C₂×C₄	—	26	4	no	—
959	C₂×C₄	—	26	8	no	—
960	C₂×C₄	—	26	4	no	—
961	C₂×C₄	—	26	16	no	—
962	C₂×C₄	—	26	32	no	—
963	C₂×C₄	—	52	8	no	—
964	C₂×C₄	C₂×#6127	1	4	yes	complemented
965	C₂×C₄	C₂×D₄×D₁₃	1	4	yes	—
966	C₂×C₄	C₂×D₄×D₁₃	1	4	yes	—
967	C₂×C₄	C₂×D₄×D₁₃	1	16	yes	complemented
968	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
969	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
970	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
971	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
972	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
973	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
974	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
975	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
976	C₂²	—	2	8	no	—
977	C₂²	—	2	16	no	—
978	C₂²	—	2	4	no	—
979	C₂²	—	2	2	no	—
980	C₂²	—	2	2	no	—
981	C₂²	—	2	4	no	—
982	C₂²	—	2	4	no	—
983	C₂²	—	2	4	no	—
984	C₂²	—	2	4	no	—
985	C₂²	—	4	32	no	—
986	C₂²	—	4	8	no	—
987	C₂²	—	13	8	no	—
988	C₂²	—	26	16	no	—
989	C₂²	—	26	4	no	—
990	C₂²	—	26	4	no	—
991	C₂²	—	26	8	no	—
992	C₂²	—	26	8	no	—
993	C₂²	—	26	8	no	—
994	C₂²	—	52	64	no	—
995	C₂²	—	52	16	no	—
996	C₂²	C₂²×#6127	1	2	yes	—
997	C₂²	C₂²×#6127	1	8	yes	complemented
998	C₂²	C₂²×D₄×D₁₃	1	4	yes	—
999	C₂²	C₂²×D₄×D₁₃	1	2	yes	—
1000	C₂²	#11719648	1	2	yes	—
1001	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1002	C₄	—	2	4	no	—
1003	C₄	—	2	4	no	—
1004	C₄	—	2	2	no	—
1005	C₄	—	2	2	no	—
1006	C₄	—	2	2	no	—
1007	C₄	—	13	8	no	—
1008	C₄	—	26	8	no	—
1009	C₄	—	26	4	no	—
1010	C₄	—	26	4	no	—
1011	C₄	C₂²×#6127	1	4	yes	complemented
1012	C₄	C₂²×D₄×D₁₃	1	4	yes	—
1013	C₄	C₂²×D₄×D₁₃	1	4	yes	—
1014	C₂	—	2	4	no	—
1015	C₂	—	2	8	no	—
1016	C₂	—	4	4	no	—
1017	C₂	—	26	8	no	—
1018	C₂	—	52	8	no	—
1019	C₂	D₄×#6127	1	4	yes	direct product factor
1020	C₂	C₂³×D₄×D₁₃	1	1	yes	characteristic
1021	C₂	C₂³×#6127	1	1	yes	characteristic
1022	C₂	C₂×#11719648	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂²×C₄×D₄×C₁₃	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂²×C₄×D₄	D₁₃
hypocenter	C₁₃	C₂×D₄×#41
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂²×C₄×D₄

Complements

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

N	H ≅ G/N	type
1. C₂³×#6127	C₂	semidirect
2. D₄×#6127	C₂	direct (N × H)
3. C₂×#11719258	C₂	semidirect
4. C₂×D₄×Dic₂₆	C₂	semidirect
5. C₂×#11719257	C₂	semidirect
6. C₂×#11719256	C₂	semidirect
7. C₂×#11719212	C₂	semidirect
8. C₂×#11719255	C₂	semidirect
9. C₂×#11719195	C₂	semidirect
10. C₂×D₄×D₅₂	C₂	semidirect
11. C₂×D₄×C₂²⋊D₁₃	C₂	semidirect
12. C₂×#11719182	C₂	semidirect
13. C₂×#11719253	C₂	semidirect
14. C₂×#11719496	C₂	semidirect
15. C₂×#11719252	C₂	semidirect
16. C₂×C₄×#6127	C₂	semidirect
17. C₂×C₄×D₄×D₁₃	C₂	semidirect
18. C₂²×C₄×D₄×C₁₃	C₂	semidirect
20. C₂⁴×C₄×C₁₃	C₂²	semidirect
21. C₂³×C₂²⋊D₁₃	C₂²	semidirect
25. C₂²×#6127	C₂²	semidirect
26. C₂²×#6127	C₂²	semidirect
27. C₂²×#6127	C₂²	semidirect
28. C₂²×#6127	C₂²	semidirect
29. C₂²×#6127	C₂²	semidirect
30. C₂²×#6127	C₂²	semidirect
31. C₂³×D₅₂	C₂²	semidirect
32. C₂³×C₄×D₁₃	C₂²	semidirect
33. C₂³×Dic₂₆	C₂²	semidirect
36. C₂×C₄×D₄×C₁₃	C₂²	semidirect
37. C₂×C₄×D₄×C₁₃	C₂²	semidirect
38. C₂×C₄×D₄×C₁₃	C₂²	semidirect
39. C₂×C₄×D₄×C₁₃	C₂²	semidirect
40. C₂×C₄×D₄×C₁₃	C₂²	semidirect
41. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
42. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
43. C₂²×C₄²×C₁₃	C₂²	semidirect
44. C₂×#88207	C₂²	semidirect
45. C₂×#88194	C₂²	semidirect
46. C₂×#88193	C₂²	semidirect
47. D₄×C₂²⋊D₁₃	C₂²	semidirect
48. C₂×#88192	C₂²	semidirect
49. C₂×#88191	C₂²	semidirect
51. #11719496	C₂²	semidirect
52. C₂×#88184	C₂²	semidirect
53. C₂×#88184	C₂²	semidirect
54. C₂×#88184	C₂²	semidirect
55. C₂×#88184	C₂²	semidirect
56. C₂×#88183	C₂²	semidirect
57. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
58. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
59. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
60. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
61. C₂×#88180	C₂²	semidirect
62. C₂×#88178	C₂²	semidirect
63. C₂×#88178	C₂²	semidirect
64. #11719258	C₂²	semidirect
65. #11719257	C₂²	semidirect
66. #11719256	C₂²	semidirect
67. #11719255	C₂²	semidirect
68. D₄×D₅₂	C₂²	semidirect
69. #11719253	C₂²	semidirect
70. #11719252	C₂²	semidirect
71. C₄×D₄×D₁₃	C₂²	semidirect
72. D₄×Dic₂₆	C₂²	semidirect
73. C₂×#88150	C₂²	semidirect
74. #11719212	C₂²	semidirect
75. C₂×#88149	C₂²	semidirect
76. C₂×#88148	C₂²	semidirect
77. C₂×#88147	C₂²	semidirect
78. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
79. C₂×#88142	C₂²	semidirect
80. C₂×#88139	C₂²	semidirect
81. #11719195	C₂²	semidirect
82. C₂×#88138	C₂²	semidirect
83. C₂×#88138	C₂²	semidirect
84. C₂×#88137	C₂²	semidirect
85. C₂×#88136	C₂²	semidirect
86. C₂×#88135	C₂²	semidirect
87. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
88. C₂×#88132	C₂²	semidirect
89. #11719182	C₂²	semidirect
90. C₂×#88129	C₂²	semidirect
91. C₂×#88128	C₂²	semidirect
92. C₄×#6127	C₂²	semidirect
93. C₂×C₄×D₅₂	C₂²	semidirect
94. C₂×C₄×D₅₂	C₂²	semidirect
95. C₂×C₄×D₅₂	C₂²	semidirect
96. C₂×C₄×D₅₂	C₂²	semidirect
97. C₂×#88126	C₂²	semidirect
98. C₂×C₄²×D₁₃	C₂²	semidirect
99. C₂×#88123	C₂²	semidirect
100. C₂×C₄×Dic₂₆	C₂²	semidirect
101. C₂×C₄×Dic₂₆	C₂²	semidirect
118. C₂³×C₄×C₁₃	C₂³	semidirect
126. C₂²×C₂²⋊D₁₃	C₂³	semidirect
136. C₂×#6127	D₄	direct (N × H)
138. C₂×#6127	C₂³	semidirect
139. C₂×#6127	C₂³	semidirect
140. C₂×#6127	C₂³	semidirect
141. C₂×#6127	C₂³	semidirect
142. C₂×#6127	C₂³	semidirect
149. C₂²×D₅₂	C₂³	semidirect
157. C₂²×C₄×D₁₃	C₂³	semidirect
162. C₂²×Dic₂₆	C₂³	semidirect
165. C₄×D₄×C₁₃	C₂³	semidirect
166. C₄×D₄×C₁₃	C₂³	semidirect
167. C₄×D₄×C₁₃	C₂³	semidirect
168. C₄×D₄×C₁₃	C₂³	semidirect
172. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
177. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
182. C₂×C₄²×C₁₃	C₂³	semidirect
183. #88207	C₂³	semidirect
187. #88194	C₂³	semidirect
188. #88193	C₂³	semidirect
189. #88192	C₂³	semidirect
190. #88191	C₂³	semidirect
192. #88184	C₂³	semidirect
193. #88184	C₂³	semidirect
194. #88184	C₂³	semidirect
195. #88184	C₂³	semidirect
196. #88183	C₂³	semidirect
197. C₄×C₂²⋊D₁₃	C₂³	semidirect
198. C₄×C₂²⋊D₁₃	C₂³	semidirect
199. C₄×C₂²⋊D₁₃	C₂³	semidirect
200. C₄×C₂²⋊D₁₃	C₂³	semidirect
207. #88180	C₂³	semidirect
212. #88178	C₂³	semidirect
213. #88178	C₂³	semidirect
221. #88150	C₂³	semidirect
222. #88149	C₂³	semidirect
223. #88148	C₂³	semidirect
224. #88147	C₂³	semidirect
225. C₄⋊C₄×D₁₃	C₂³	semidirect
226. #88142	C₂³	semidirect
227. #88139	C₂³	semidirect
228. #88138	C₂³	semidirect
229. #88138	C₂³	semidirect
230. #88137	C₂³	semidirect
231. #88136	C₂³	semidirect
232. #88135	C₂³	semidirect
233. C₂²⋊C₄×D₁₃	C₂³	semidirect
234. #88132	C₂³	semidirect
235. #88129	C₂³	semidirect
236. #88128	C₂³	semidirect
237. C₄×D₅₂	C₂³	semidirect
238. C₄×D₅₂	C₂³	semidirect
239. C₄×D₅₂	C₂³	semidirect
240. C₄×D₅₂	C₂³	semidirect
241. #88126	C₂³	semidirect
242. C₄²×D₁₃	C₂³	semidirect
243. #88123	C₂³	semidirect
244. C₄×Dic₂₆	C₂³	semidirect
245. C₄×Dic₂₆	C₂³	semidirect
263. C₂×D₄×C₁₃	#41	semidirect
275. C₂²×C₄×C₁₃	C₂×D₄	semidirect
298. C₂×C₂²⋊D₁₃	C₂×D₄	semidirect
317. #6127	C₂×D₄	direct (N × H)
323. C₂×D₅₂	C₂×D₄	semidirect
335. C₂×C₄×D₁₃	C₂×D₄	semidirect
345. C₂×Dic₂₆	C₂×D₄	semidirect
397. C₂²×C₄×D₄	D₁₃	semidirect
410. C₂³×C₁₃	C₂×#41	semidirect
429. D₄×C₁₃	C₂×#41	semidirect
444. C₂×C₄×C₁₃	C₂²×D₄	semidirect
445. C₂×C₄×C₁₃	C₂×#41	semidirect
459. C₂²⋊D₁₃	C₂²×D₄	semidirect
473. D₅₂	C₂²×D₄	semidirect
479. C₄×D₁₃	C₂²×D₄	semidirect
482. Dic₂₆	C₂²×D₄	semidirect
497. C₂⁴×C₄	C₂×D₁₃	semidirect
553. C₂×C₄×D₄	C₂×D₁₃	semidirect
554. C₂×C₄×D₄	C₂×D₁₃	semidirect
555. C₂×C₄×D₄	C₂×D₁₃	semidirect
556. C₂×C₄×D₄	C₂×D₁₃	semidirect
557. C₂×C₄×D₄	C₂×D₁₃	semidirect
561. C₂²×C₄⋊C₄	C₂×D₁₃	semidirect
563. C₂²×C₂²⋊C₄	C₂×D₁₃	semidirect
565. C₂²×C₄²	C₂×D₁₃	semidirect
580. C₂²×C₁₃	C₂²×#41	semidirect
599. C₄×C₁₃	C₂²×#41	semidirect
664. C₂³×C₄	C₂²×D₁₃	semidirect
705. C₄×D₄	C₂²×D₁₃	semidirect
706. C₄×D₄	C₂²×D₁₃	semidirect
707. C₄×D₄	C₂²×D₁₃	semidirect
708. C₄×D₄	C₂²×D₁₃	semidirect
723. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
738. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
747. C₂×C₄²	C₂²×D₁₃	semidirect
751. C₂×C₁₃	D₄×#41	semidirect
811. C₂×D₄	#6127	direct (N × H)
842. C₂²×C₄	D₄×D₁₃	semidirect
890. C₁₃	C₂×D₄×#41	semidirect
914. C₂³	C₂×#6127	semidirect
936. D₄	C₂×#6127	direct (N × H)
964. C₂×C₄	C₂×#6127	semidirect
967. C₂×C₄	C₂×D₄×D₁₃	semidirect
997. C₂²	C₂²×#6127	semidirect
1011. C₄	C₂²×#6127	semidirect
1019. C₂	D₄×#6127	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×#6127	2
D₄×#6127	2
C₂×#11719258	2
C₂×D₄×Dic₂₆	2
C₂×#11719257	2
C₂×#11719256	2
C₂×#11719212	2
C₂×#11719255	2
C₂×#11719195	2
C₂×D₄×D₅₂	2
C₂×D₄×C₂²⋊D₁₃	2
C₂×#11719182	2
C₂×#11719253	2
C₂×#11719496	2
C₂×#11719252	2
C₂×C₄×#6127	2
C₂×C₄×D₄×D₁₃	2
C₂²×C₄×D₄×C₁₃	2
C₂×D₄×#41	13

Subgroups — C2×D4×#6127 #16769879

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₄×#6127 #16769879