Subgroups — C₂×#13123492 #16726671

Order 3328.

2254 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×#117	C₂	1	1	yes	maximal, characteristic
2	#13123492	C₂	1	16	yes	maximal, direct product factor
3	C₂×#11718661	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11718381	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11718381	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11718496	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11718366	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11718494	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11718346	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11718500	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11718500	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11718387	C₂	1	1	yes	maximal, characteristic
13	C₂×D₁₃×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic
14	C₂×#11718369	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11718350	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×#433	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
19	C₂×#88180	C₂²	1	1	yes	characteristic
20	C₂²×#6094	C₂²	1	1	yes	characteristic
21	C₂²×#6094	C₂²	1	1	yes	characteristic
22	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
23	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
24	D₁₃×#117	C₄	1	8	yes	—
25	D₁₃×#117	C₂²	1	8	yes	—
26	C₂×#88146	C₄	1	1	yes	characteristic
27	C₂×#88146	C₄	1	1	yes	characteristic
28	C₂×C₄⋊C₄×D₁₃	C₄	1	1	yes	characteristic
29	C₂×C₄⋊C₄×D₁₃	C₄	1	1	yes	characteristic
30	C₂×C₂²⋊C₄×D₁₃	C₄	1	1	yes	characteristic
31	C₂×C₂²⋊C₄×D₁₃	C₄	1	1	yes	characteristic
32	C₂×#88131	C₄	1	1	yes	characteristic
33	C₂×#88131	C₄	1	1	yes	characteristic
34	C₂×#88126	C₂²	1	1	yes	characteristic
35	C₂×#88126	C₂²	1	1	yes	characteristic
36	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
37	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
38	C₁₃×#433	C₂²	1	8	yes	complemented
39	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic
47	C₂×#88060	C₂²	1	1	yes	characteristic
48	C₂×#88060	C₂²	1	1	yes	characteristic
49	C₂×#88060	C₂²	1	1	yes	characteristic
50	C₂×#88060	C₂²	1	1	yes	characteristic
51	C₂×#88055	C₂²	1	1	yes	characteristic, complemented
52	C₂×#88055	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
54	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
56	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
59	#11718661	C₂²	1	8	yes	complemented
60	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88043	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×#1055	C₂²	1	1	yes	characteristic, complemented
64	#11718500	C₂²	1	8	yes	complemented
65	#11718500	C₂²	1	8	yes	complemented
66	#11718496	C₂²	1	8	yes	complemented
67	#11718494	C₂²	1	8	yes	complemented
68	#11718387	C₂²	1	8	yes	—
69	D₁₃×C₂²⋊C₈	C₂²	1	8	yes	—
70	#11718381	C₂²	1	8	yes	complemented
71	#11718381	C₂²	1	8	yes	complemented
72	#11718369	C₂²	1	8	yes	complemented
73	#11718366	C₂²	1	8	yes	complemented
74	#11718350	C₂²	1	8	yes	complemented
75	#11718346	C₂²	1	8	yes	complemented
76	C₂⁴×D₁₃	C₂×C₄	1	1	yes	characteristic
77	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
78	C₂³×Dic₁₃	C₂×C₄	1	1	yes	characteristic
79	C₂²×C₄×D₁₃	—	2	4	no	—
80	C₂²×C₄×D₁₃	—	2	4	no	—
81	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
82	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
83	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
84	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
85	C₂²×C₄×D₁₃	C₂×C₄	1	4	yes	—
86	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
87	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
88	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
89	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
90	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
91	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
92	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
93	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
94	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
95	C₁₃×#117	C₂×C₄	1	4	yes	—
96	C₁₃×#117	C₂³	1	4	yes	—
97	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
98	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
99	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
100	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
101	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
102	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
103	C₂×C₂²⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
104	C₂×C₂²⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
105	C₂×#6103	C₂×C₄	1	1	yes	characteristic
106	C₂×#6103	C₂×C₄	1	1	yes	characteristic
107	C₂×#6103	C₂×C₄	1	1	yes	characteristic
108	C₂×#6103	C₂×C₄	1	1	yes	characteristic
109	#88180	C₂×C₄	1	4	yes	—
110	#88180	C₂³	1	4	yes	—
111	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
112	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
113	C₂×#6101	C₂×C₄	1	1	yes	characteristic
114	C₂×#6101	C₂×C₄	1	1	yes	characteristic
115	C₂×#6101	C₂×C₄	1	1	yes	characteristic
116	C₂×#6101	C₂×C₄	1	1	yes	characteristic
117	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
118	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
119	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
120	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
121	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
122	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
123	C₂²×#1055	C₂³	1	1	yes	characteristic
124	C₂²×#1055	C₂³	1	1	yes	characteristic
125	C₂²×#1055	C₂³	1	1	yes	characteristic
126	C₂²×#1055	C₂³	1	1	yes	characteristic
127	C₂×#6094	—	2	4	no	—
128	C₂×#6094	—	2	4	no	—
129	C₂×#6094	C₂³	1	4	yes	—
130	C₂×#6094	C₂³	1	4	yes	—
131	C₂×C₈×D₁₃	—	2	4	no	—
132	C₂×C₈×D₁₃	—	2	4	no	—
133	C₂×C₈×D₁₃	C₂³	1	4	yes	—
134	C₂×C₈×D₁₃	C₂³	1	4	yes	—
135	#88146	C₂×C₄	1	8	yes	—
136	#88146	C₂×C₄	1	8	yes	—
137	C₄⋊C₄×D₁₃	C₂×C₄	1	8	yes	—
138	C₄⋊C₄×D₁₃	C₂×C₄	1	8	yes	—
139	C₂²⋊C₄×D₁₃	C₂×C₄	1	8	yes	—
140	C₂²⋊C₄×D₁₃	C₂×C₄	1	8	yes	—
141	#88131	C₂×C₄	1	8	yes	—
142	#88131	C₂×C₄	1	8	yes	—
143	#88126	C₂×C₄	1	4	yes	—
144	#88126	C₂×C₄	1	4	yes	—
145	#88126	C₂³	1	4	yes	—
146	#88126	C₂³	1	4	yes	—
147	C₄²×D₁₃	C₂×C₄	1	4	yes	—
148	C₄²×D₁₃	C₂×C₄	1	4	yes	—
149	C₄²×D₁₃	C₂³	1	4	yes	—
150	C₄²×D₁₃	C₂³	1	4	yes	—
151	C₁₃×C₄⋊C₈	C₂³	1	4	yes	complemented
152	C₁₃×C₄⋊C₈	C₂³	1	4	yes	complemented
153	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
154	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
155	C₁₃×#97	C₂³	1	4	yes	complemented
156	C₄×C₈×C₁₃	C₂³	1	4	yes	complemented
157	C₂²⋊#1055	C₂³	1	4	yes	—
158	C₂²⋊#1055	C₂³	1	4	yes	—
159	#88060	C₂³	1	4	yes	—
160	#88060	C₂³	1	4	yes	—
161	#88060	C₂³	1	4	yes	—
162	#88060	C₂³	1	4	yes	—
163	#88055	C₂³	1	4	yes	complemented
164	#88055	C₂³	1	4	yes	complemented
165	#88054	C₂³	1	4	yes	complemented
166	#88054	C₂³	1	4	yes	complemented
167	#88054	C₂³	1	4	yes	complemented
168	#88054	C₂³	1	4	yes	complemented
169	C₈×Dic₁₃	C₂³	1	4	yes	complemented
170	C₈×Dic₁₃	C₂³	1	4	yes	complemented
171	C₄⋊#1055	C₂³	1	4	yes	complemented
172	C₄⋊#1055	C₂³	1	4	yes	complemented
173	#88043	C₂³	1	4	yes	complemented
174	C₄×#1055	C₂³	1	4	yes	complemented
175	C₂×#2924	—	13	1	no	maximal, Sylow
176	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
177	C₂³×D₁₃	—	2	4	no	—
178	C₂³×D₁₃	—	2	4	no	—
179	C₂³×D₁₃	—	4	2	no	—
180	C₂³×D₁₃	C₂²×C₄	1	4	yes	—
181	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
182	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
183	C₂²×C₄×C₁₃	—	2	2	no	—
184	C₂²×C₄×C₁₃	—	2	2	no	—
185	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
186	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
187	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
188	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
189	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
190	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
191	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
192	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
193	C₂²×Dic₁₃	—	2	4	no	—
194	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
195	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
196	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
197	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
198	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
199	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
200	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
201	C₂×C₄×D₁₃	—	2	4	no	—
202	C₂×C₄×D₁₃	—	2	4	no	—
203	C₂×C₄×D₁₃	—	2	4	no	—
204	C₂×C₄×D₁₃	—	2	2	no	—
205	C₂×C₄×D₁₃	—	2	2	no	—
206	C₂×C₄×D₁₃	—	2	4	no	—
207	C₂×C₄×D₁₃	—	2	16	no	—
208	C₂×C₄×D₁₃	—	2	8	no	—
209	C₂×C₄×D₁₃	—	2	8	no	—
210	C₂×C₄×D₁₃	—	4	2	no	—
211	C₂×C₄×D₁₃	—	4	2	no	—
212	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
213	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
214	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
215	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
216	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
217	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
218	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
219	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
220	C₂×C₄×D₁₃	#41	1	4	yes	—
221	C₂×C₄×D₁₃	#41	1	4	yes	—
222	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
223	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
224	C₂×C₈×C₁₃	—	2	2	no	—
225	C₂×C₈×C₁₃	—	2	2	no	—
226	C₂×C₈×C₁₃	—	2	2	no	—
227	C₂×C₈×C₁₃	—	2	2	no	—
228	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
229	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
230	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
231	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
232	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
233	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
234	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
235	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
236	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
237	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
238	C₄²×C₁₃	C₂⁴	1	2	yes	—
239	C₄²×C₁₃	C₂⁴	1	2	yes	—
240	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
241	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
242	#6103	C₂²×C₄	1	4	yes	—
243	#6103	C₂²×C₄	1	4	yes	—
244	#6103	C₂²×C₄	1	4	yes	—
245	#6103	C₂²×C₄	1	4	yes	—
246	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
247	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
248	#6101	C₂²×C₄	1	4	yes	—
249	#6101	C₂²×C₄	1	4	yes	—
250	#6101	C₂²×C₄	1	4	yes	—
251	#6101	C₂²×C₄	1	4	yes	—
252	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
253	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
254	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
255	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
256	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
257	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
258	C₄×Dic₁₃	C₂⁴	1	2	yes	—
259	C₄×Dic₁₃	C₂⁴	1	2	yes	—
260	C₂×#1055	—	2	2	no	—
261	C₂×#1055	—	2	2	no	—
262	C₂×#1055	—	2	2	no	—
263	C₂×#1055	—	2	2	no	—
264	C₂×#1055	C₂⁴	1	2	yes	—
265	C₂×#1055	C₂⁴	1	2	yes	—
266	C₂×#1055	C₂⁴	1	2	yes	—
267	C₂×#1055	C₂⁴	1	2	yes	—
268	#6094	—	2	8	no	—
269	#6094	—	2	8	no	—
270	C₈×D₁₃	—	2	8	no	—
271	C₈×D₁₃	—	2	8	no	—
272	C₂²×#117	—	13	1	no	—
273	#2924	—	13	16	no	—
274	C₂×#433	—	13	1	no	—
275	C₂×#433	—	13	1	no	—
276	C₂×#433	—	13	1	no	—
277	C₂×#433	D₁₃	1	1	yes	characteristic, complemented
278	C₂×#432	—	13	1	no	—
279	C₂×#432	—	13	1	no	—
280	C₂×#431	—	13	1	no	—
281	C₂×#431	—	13	1	no	—
282	C₂×#424	—	13	1	no	—
283	C₂×#424	—	13	1	no	—
284	C₂×#407	—	13	1	no	—
285	C₂²×C₂²⋊C₈	—	13	1	no	—
286	C₂×#405	—	13	1	no	—
287	C₂×#405	—	13	1	no	—
288	C₂³×C₁₃	—	2	2	no	—
289	C₂³×C₁₃	—	2	2	no	—
290	C₂³×C₁₃	—	2	2	no	—
291	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
292	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
293	C₂²×D₁₃	—	2	2	no	—
294	C₂²×D₁₃	—	2	2	no	—
295	C₂²×D₁₃	—	2	2	no	—
296	C₂²×D₁₃	—	2	2	no	—
297	C₂²×D₁₃	—	2	8	no	—
298	C₂²×D₁₃	—	2	8	no	—
299	C₂²×D₁₃	—	4	4	no	—
300	C₂²×D₁₃	—	4	16	no	—
301	C₂²×D₁₃	#117	1	4	yes	—
302	C₂²×D₁₃	#131	1	4	yes	—
303	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
304	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
305	C₂×C₄×C₁₃	—	2	2	no	—
306	C₂×C₄×C₁₃	—	2	2	no	—
307	C₂×C₄×C₁₃	—	2	2	no	—
308	C₂×C₄×C₁₃	—	2	2	no	—
309	C₂×C₄×C₁₃	—	2	2	no	—
310	C₂×C₄×C₁₃	—	2	4	no	—
311	C₂×C₄×C₁₃	—	2	2	no	—
312	C₂×C₄×C₁₃	—	2	2	no	—
313	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
314	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
315	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
316	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
317	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
318	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
319	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
320	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
321	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
322	C₂×Dic₁₃	—	2	2	no	—
323	C₂×Dic₁₃	—	2	2	no	—
324	C₂×Dic₁₃	—	2	2	no	—
325	C₂×Dic₁₃	—	2	2	no	—
326	C₂×Dic₁₃	—	2	2	no	—
327	C₂×Dic₁₃	—	2	8	no	—
328	C₂×Dic₁₃	#117	1	4	yes	—
329	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
330	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
331	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
332	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
333	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
334	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
335	C₄×D₁₃	—	2	8	no	—
336	C₄×D₁₃	—	2	8	no	—
337	C₄×D₁₃	—	2	8	no	—
338	C₄×D₁₃	—	2	4	no	—
339	C₄×D₁₃	—	2	2	no	—
340	C₄×D₁₃	—	2	2	no	—
341	C₄×D₁₃	—	2	8	no	—
342	C₄×D₁₃	—	4	4	no	—
343	C₄×D₁₃	—	4	4	no	—
344	C₄×D₁₃	#117	1	8	yes	—
345	C₄×D₁₃	C₂×#41	1	4	yes	—
346	C₄×D₁₃	C₂×#41	1	4	yes	—
347	C₈×C₁₃	—	2	2	no	—
348	C₈×C₁₃	—	2	2	no	—
349	C₈×C₁₃	—	2	2	no	—
350	C₈×C₁₃	—	2	2	no	—
351	#1055	—	2	2	no	—
352	#1055	—	2	2	no	—
353	#1055	—	2	2	no	—
354	#1055	—	2	2	no	—
355	C₂⁴×C₄	—	13	1	no	—
356	C₂²×M₁₆	—	13	1	no	—
357	C₂²×M₁₆	—	13	1	no	—
358	C₂³×C₈	—	13	1	no	—
359	C₂³×C₈	—	13	1	no	—
360	C₂×#117	—	13	1	no	—
361	C₂×#117	—	13	8	no	—
362	C₂×#117	—	13	8	no	—
363	C₂×#117	—	13	1	no	—
364	C₂×#117	—	13	1	no	—
365	C₂×#117	—	13	1	no	—
366	C₂×#117	—	13	1	no	—
367	C₂×#117	—	13	1	no	—
368	C₂×#117	—	13	1	no	—
369	C₂×#117	C₂×D₁₃	1	1	yes	characteristic
370	C₂²×C₄⋊C₄	—	13	1	no	—
371	C₂²×C₄⋊C₄	—	13	1	no	—
372	C₂²×C₂²⋊C₄	—	13	1	no	—
373	C₂²×C₂²⋊C₄	—	13	1	no	—
374	C₂²×C₄²	—	13	1	no	—
375	C₂²×C₄²	—	13	1	no	—
376	#433	—	13	8	no	—
377	#433	—	13	8	no	—
378	#433	—	13	8	no	—
379	#433	C₂×D₁₃	1	8	yes	complemented
380	#432	—	13	8	no	—
381	#432	—	13	8	no	—
382	#431	—	13	8	no	—
383	#431	—	13	8	no	—
384	#424	—	13	8	no	—
385	#424	—	13	8	no	—
386	C₂×C₄⋊C₈	—	13	1	no	—
387	C₂×C₄⋊C₈	—	13	1	no	—
388	C₂×C₄⋊C₈	—	13	1	no	—
389	C₂×C₄⋊C₈	—	13	1	no	—
390	C₂×C₄⋊C₈	—	13	1	no	—
391	C₂×C₄⋊C₈	—	13	1	no	—
392	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
393	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
394	#407	—	13	8	no	—
395	C₂×C₂²⋊C₈	—	13	1	no	—
396	C₂×C₂²⋊C₈	—	13	1	no	—
397	C₂×C₂²⋊C₈	—	13	1	no	—
398	C₂×C₂²⋊C₈	—	13	1	no	—
399	C₂×C₂²⋊C₈	—	13	1	no	—
400	C₂×C₂²⋊C₈	—	13	1	no	—
401	C₂×C₂²⋊C₈	—	13	8	no	—
402	C₂×C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic
403	C₂×C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic
404	#405	—	13	8	no	—
405	#405	—	13	8	no	—
406	C₂×#97	—	13	1	no	—
407	C₂×#97	—	13	1	no	—
408	C₂×#97	—	13	1	no	—
409	C₂×#97	C₂×D₁₃	1	1	yes	characteristic, complemented
410	C₂×C₄×C₈	—	13	1	no	—
411	C₂×C₄×C₈	—	13	1	no	—
412	C₂×C₄×C₈	—	13	1	no	—
413	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
414	C₂²×C₁₃	—	2	2	no	—
415	C₂²×C₁₃	—	2	2	no	—
416	C₂²×C₁₃	—	2	2	no	—
417	C₂²×C₁₃	—	4	4	no	—
418	C₂²×C₁₃	C₂×#117	1	2	yes	—
419	C₂²×C₁₃	C₂×#131	1	2	yes	—
420	C₂²×C₁₃	#568	1	2	yes	—
421	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
422	C₂×D₁₃	—	2	2	no	—
423	C₂×D₁₃	—	2	8	no	—
424	C₂×D₁₃	—	2	8	no	—
425	C₂×D₁₃	—	2	2	no	—
426	C₂×D₁₃	—	2	2	no	—
427	C₂×D₁₃	—	2	2	no	—
428	C₂×D₁₃	—	4	16	no	—
429	C₂×D₁₃	C₂×#117	1	4	yes	—
430	C₂×D₁₃	C₂×#131	1	4	yes	—
431	C₄×C₁₃	—	2	2	no	—
432	C₄×C₁₃	—	2	2	no	—
433	C₄×C₁₃	—	2	2	no	—
434	C₄×C₁₃	—	2	2	no	—
435	C₄×C₁₃	—	2	2	no	—
436	C₄×C₁₃	C₂×#117	1	2	yes	—
437	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
438	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
439	Dic₁₃	—	2	2	no	—
440	Dic₁₃	—	2	2	no	—
441	Dic₁₃	—	2	2	no	—
442	Dic₁₃	—	2	2	no	—
443	Dic₁₃	—	2	2	no	—
444	Dic₁₃	C₂×#117	1	4	yes	—
445	C₂⁵	—	13	1	no	—
446	C₂³×C₄	—	13	1	no	—
447	C₂³×C₄	—	13	1	no	—
448	C₂³×C₄	—	13	1	no	—
449	C₂³×C₄	—	13	1	no	—
450	C₂³×C₄	—	13	1	no	—
451	C₂³×C₄	—	13	4	no	—
452	C₂³×C₄	—	13	1	no	—
453	C₂³×C₄	—	13	4	no	—
454	C₂³×C₄	—	13	1	no	—
455	C₂³×C₄	—	13	1	no	—
456	C₂³×C₄	—	13	1	no	—
457	C₂³×C₄	—	26	4	no	—
458	C₂³×C₄	—	26	4	no	—
459	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
460	C₂×M₁₆	—	13	4	no	—
461	C₂×M₁₆	—	13	4	no	—
462	C₂×M₁₆	—	26	4	no	—
463	C₂×M₁₆	—	26	4	no	—
464	C₂²×C₈	—	13	1	no	—
465	C₂²×C₈	—	13	1	no	—
466	C₂²×C₈	—	13	1	no	—
467	C₂²×C₈	—	13	1	no	—
468	C₂²×C₈	—	13	4	no	—
469	C₂²×C₈	—	13	4	no	—
470	C₂²×C₈	—	26	4	no	—
471	C₂²×C₈	—	26	4	no	—
472	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
473	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
474	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
475	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
476	#117	—	13	4	no	—
477	#117	—	13	4	no	—
478	#117	—	13	8	no	—
479	#117	—	13	8	no	—
480	#117	—	13	8	no	—
481	#117	—	13	8	no	—
482	#117	—	13	4	no	—
483	#117	—	13	4	no	—
484	#117	—	13	4	no	—
485	#117	—	13	4	no	—
486	#117	C₄×D₁₃	1	4	yes	—
487	#117	C₂²×D₁₃	1	4	yes	—
488	C₂×C₄⋊C₄	—	13	1	no	—
489	C₂×C₄⋊C₄	—	13	1	no	—
490	C₂×C₄⋊C₄	—	13	1	no	—
491	C₂×C₄⋊C₄	—	13	1	no	—
492	C₂×C₄⋊C₄	—	13	1	no	—
493	C₂×C₄⋊C₄	—	13	1	no	—
494	C₂×C₄⋊C₄	—	13	8	no	—
495	C₂×C₄⋊C₄	—	13	8	no	—
496	C₂×C₄⋊C₄	C₄×D₁₃	1	1	yes	characteristic
497	C₂×C₄⋊C₄	C₄×D₁₃	1	1	yes	characteristic
498	C₂×C₂²⋊C₄	—	13	1	no	—
499	C₂×C₂²⋊C₄	—	13	1	no	—
500	C₂×C₂²⋊C₄	—	13	1	no	—
501	C₂×C₂²⋊C₄	—	13	1	no	—
502	C₂×C₂²⋊C₄	—	13	1	no	—
503	C₂×C₂²⋊C₄	—	13	1	no	—
504	C₂×C₂²⋊C₄	—	13	8	no	—
505	C₂×C₂²⋊C₄	—	13	8	no	—
506	C₂×C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
507	C₂×C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
508	C₂×C₄²	—	13	1	no	—
509	C₂×C₄²	—	13	1	no	—
510	C₂×C₄²	—	13	1	no	—
511	C₂×C₄²	—	13	1	no	—
512	C₂×C₄²	—	13	1	no	—
513	C₂×C₄²	—	13	1	no	—
514	C₂×C₄²	—	13	4	no	—
515	C₂×C₄²	—	13	4	no	—
516	C₂×C₄²	—	13	4	no	—
517	C₂×C₄²	—	13	4	no	—
518	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
519	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
520	C₄⋊C₈	—	13	4	no	—
521	C₄⋊C₈	—	13	4	no	—
522	C₄⋊C₈	—	13	4	no	—
523	C₄⋊C₈	—	13	4	no	—
524	C₄⋊C₈	—	13	4	no	—
525	C₄⋊C₈	—	13	4	no	—
526	C₄⋊C₈	C₂²×D₁₃	1	4	yes	complemented
527	C₄⋊C₈	C₂²×D₁₃	1	4	yes	complemented
528	C₂²⋊C₈	—	13	4	no	—
529	C₂²⋊C₈	—	13	4	no	—
530	C₂²⋊C₈	—	13	4	no	—
531	C₂²⋊C₈	—	13	4	no	—
532	C₂²⋊C₈	—	13	4	no	—
533	C₂²⋊C₈	—	13	4	no	—
534	C₂²⋊C₈	C₂²×D₁₃	1	4	yes	—
535	C₂²⋊C₈	C₂²×D₁₃	1	4	yes	—
536	#97	—	13	4	no	—
537	#97	—	13	4	no	—
538	#97	—	13	4	no	—
539	#97	C₂²×D₁₃	1	4	yes	complemented
540	C₄×C₈	—	13	4	no	—
541	C₄×C₈	—	13	4	no	—
542	C₄×C₈	—	13	4	no	—
543	C₄×C₈	C₂²×D₁₃	1	4	yes	complemented
544	C₂×C₁₃	—	4	2	no	—
545	C₂×C₁₃	#2924	1	4	yes	complemented
546	C₂×C₁₃	C₂²×#117	1	1	yes	characteristic
547	C₂×C₁₃	C₂²×#131	1	1	yes	characteristic
548	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
549	D₁₃	—	2	4	no	—
550	D₁₃	—	2	4	no	—
551	C₂⁴	—	13	1	no	—
552	C₂⁴	—	13	1	no	—
553	C₂⁴	—	13	4	no	—
554	C₂⁴	—	26	4	no	—
555	C₂⁴	—	26	4	no	—
556	C₂⁴	—	52	2	no	—
557	C₂⁴	C₂×C₄×D₁₃	1	1	yes	characteristic
558	C₂²×C₄	—	2	2	no	—
559	C₂²×C₄	—	2	2	no	—
560	C₂²×C₄	—	13	1	no	—
561	C₂²×C₄	—	13	2	no	—
562	C₂²×C₄	—	13	4	no	—
563	C₂²×C₄	—	13	4	no	—
564	C₂²×C₄	—	13	2	no	—
565	C₂²×C₄	—	13	1	no	—
566	C₂²×C₄	—	13	1	no	—
567	C₂²×C₄	—	13	1	no	—
568	C₂²×C₄	—	13	1	no	—
569	C₂²×C₄	—	13	1	no	—
570	C₂²×C₄	—	13	4	no	—
571	C₂²×C₄	—	13	2	no	—
572	C₂²×C₄	—	13	4	no	—
573	C₂²×C₄	—	13	4	no	—
574	C₂²×C₄	—	13	4	no	—
575	C₂²×C₄	—	13	4	no	—
576	C₂²×C₄	—	13	2	no	—
577	C₂²×C₄	—	13	4	no	—
578	C₂²×C₄	—	13	4	no	—
579	C₂²×C₄	—	26	4	no	—
580	C₂²×C₄	—	26	16	no	—
581	C₂²×C₄	—	26	8	no	—
582	C₂²×C₄	—	26	8	no	—
583	C₂²×C₄	—	26	4	no	—
584	C₂²×C₄	—	26	4	no	—
585	C₂²×C₄	—	26	4	no	—
586	C₂²×C₄	—	26	4	no	—
587	C₂²×C₄	—	26	2	no	—
588	C₂²×C₄	—	26	2	no	—
589	C₂²×C₄	—	52	2	no	—
590	C₂²×C₄	—	52	2	no	—
591	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
592	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
593	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
594	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
595	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
596	C₂²×C₄	C₂×C₄×D₁₃	1	2	yes	—
597	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
598	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
599	M₁₆	—	26	8	no	—
600	M₁₆	—	26	8	no	—
601	C₂×C₈	—	2	2	no	—
602	C₂×C₈	—	2	2	no	—
603	C₂×C₈	—	2	2	no	—
604	C₂×C₈	—	2	2	no	—
605	C₂×C₈	—	13	2	no	—
606	C₂×C₈	—	13	2	no	—
607	C₂×C₈	—	13	2	no	—
608	C₂×C₈	—	13	2	no	—
609	C₂×C₈	—	26	8	no	—
610	C₂×C₈	—	26	8	no	—
611	C₂×C₈	—	26	2	no	—
612	C₂×C₈	—	26	2	no	—
613	C₂×C₈	—	26	2	no	—
614	C₂×C₈	—	26	2	no	—
615	C₂×C₈	C₂³×D₁₃	1	2	yes	—
616	C₂×C₈	C₂³×D₁₃	1	2	yes	—
617	C₂×C₈	C₂³×D₁₃	1	2	yes	—
618	C₂×C₈	C₂³×D₁₃	1	2	yes	—
619	C₄⋊C₄	—	13	4	no	—
620	C₄⋊C₄	—	13	4	no	—
621	C₄⋊C₄	—	13	4	no	—
622	C₄⋊C₄	—	13	4	no	—
623	C₄⋊C₄	—	13	4	no	—
624	C₄⋊C₄	—	13	4	no	—
625	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
626	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
627	C₂²⋊C₄	—	13	4	no	—
628	C₂²⋊C₄	—	13	4	no	—
629	C₂²⋊C₄	—	13	4	no	—
630	C₂²⋊C₄	—	13	4	no	—
631	C₂²⋊C₄	—	13	4	no	—
632	C₂²⋊C₄	—	13	4	no	—
633	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
634	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
635	C₄²	—	13	4	no	—
636	C₄²	—	13	4	no	—
637	C₄²	—	13	4	no	—
638	C₄²	—	13	4	no	—
639	C₄²	—	13	2	no	—
640	C₄²	—	13	2	no	—
641	C₄²	—	13	2	no	—
642	C₄²	—	13	2	no	—
643	C₄²	C₂×C₄×D₁₃	1	2	yes	—
644	C₄²	C₂×C₄×D₁₃	1	2	yes	—
645	C₄²	C₂³×D₁₃	1	2	yes	—
646	C₄²	C₂³×D₁₃	1	2	yes	—
647	C₁₃	C₂×#2924	1	1	yes	characteristic, complemented, Sylow
648	C₂³	—	2	2	no	—
649	C₂³	—	2	2	no	—
650	C₂³	—	2	2	no	—
651	C₂³	—	13	4	no	—
652	C₂³	—	13	4	no	—
653	C₂³	—	13	2	no	—
654	C₂³	—	13	2	no	—
655	C₂³	—	26	8	no	—
656	C₂³	—	26	8	no	—
657	C₂³	—	26	2	no	—
658	C₂³	—	26	2	no	—
659	C₂³	—	26	2	no	—
660	C₂³	—	26	2	no	—
661	C₂³	—	52	4	no	—
662	C₂³	—	52	16	no	—
663	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
664	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
665	C₂×C₄	—	2	2	no	—
666	C₂×C₄	—	2	2	no	—
667	C₂×C₄	—	2	2	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	2	no	—
670	C₂×C₄	—	2	4	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	13	4	no	—
674	C₂×C₄	—	13	2	no	—
675	C₂×C₄	—	13	8	no	—
676	C₂×C₄	—	13	4	no	—
677	C₂×C₄	—	13	4	no	—
678	C₂×C₄	—	13	2	no	—
679	C₂×C₄	—	13	2	no	—
680	C₂×C₄	—	13	2	no	—
681	C₂×C₄	—	13	2	no	—
682	C₂×C₄	—	13	2	no	—
683	C₂×C₄	—	26	8	no	—
684	C₂×C₄	—	26	8	no	—
685	C₂×C₄	—	26	8	no	—
686	C₂×C₄	—	26	8	no	—
687	C₂×C₄	—	26	8	no	—
688	C₂×C₄	—	26	2	no	—
689	C₂×C₄	—	26	2	no	—
690	C₂×C₄	—	26	2	no	—
691	C₂×C₄	—	26	2	no	—
692	C₂×C₄	—	26	2	no	—
693	C₂×C₄	—	26	4	no	—
694	C₂×C₄	—	26	2	no	—
695	C₂×C₄	—	26	2	no	—
696	C₂×C₄	—	52	4	no	—
697	C₂×C₄	—	52	4	no	—
698	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
699	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
700	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
701	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
702	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
703	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
704	C₂×C₄	#41×D₁₃	1	2	yes	—
705	C₂×C₄	#41×D₁₃	1	2	yes	—
706	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
707	C₈	—	2	2	no	—
708	C₈	—	2	2	no	—
709	C₈	—	2	2	no	—
710	C₈	—	2	2	no	—
711	C₈	—	26	2	no	—
712	C₈	—	26	2	no	—
713	C₈	—	26	2	no	—
714	C₈	—	26	2	no	—
715	C₂²	—	2	2	no	—
716	C₂²	—	2	2	no	—
717	C₂²	—	2	2	no	—
718	C₂²	—	4	4	no	—
719	C₂²	—	13	4	no	—
720	C₂²	—	13	4	no	—
721	C₂²	—	26	2	no	—
722	C₂²	—	26	2	no	—
723	C₂²	—	26	2	no	—
724	C₂²	—	26	2	no	—
725	C₂²	—	26	8	no	—
726	C₂²	—	26	8	no	—
727	C₂²	—	52	16	no	—
728	C₂²	D₁₃×#117	1	2	yes	—
729	C₂²	D₁₃×#131	1	2	yes	—
730	C₂²	#11719455	1	2	yes	—
731	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
732	C₄	—	2	2	no	—
733	C₄	—	2	2	no	—
734	C₄	—	2	2	no	—
735	C₄	—	2	2	no	—
736	C₄	—	2	2	no	—
737	C₄	—	13	4	no	—
738	C₄	—	26	2	no	—
739	C₄	—	26	2	no	—
740	C₄	—	26	2	no	—
741	C₄	—	26	2	no	—
742	C₄	—	26	2	no	—
743	C₄	D₁₃×#117	1	2	yes	—
744	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
745	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
746	C₂	—	4	2	no	—
747	C₂	—	26	4	no	—
748	C₂	—	26	4	no	—
749	C₂	#13123492	1	4	yes	direct product factor
750	C₂	C₂×D₁₃×#117	1	1	yes	characteristic
751	C₂	C₂×D₁₃×#131	1	1	yes	characteristic
752	C₂	C₂×#11719455	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₂×C₁₃×#433	C₂
socle	C₂³×C₁₃	C₂³×C₄
prime radical	C₂⁴×D₁₃	C₂×C₄
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	C₂×#433	D₁₃
hypocenter	C₁₃	C₂×#2924
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×#433

Complements

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

N	H ≅ G/N	type
2. #13123492	C₂	direct (N × H)
3. C₂×#11718661	C₂	semidirect
4. C₂×#11718381	C₂	semidirect
5. C₂×#11718381	C₂	semidirect
6. C₂×#11718496	C₂	semidirect
7. C₂×#11718366	C₂	semidirect
8. C₂×#11718494	C₂	semidirect
9. C₂×#11718346	C₂	semidirect
10. C₂×#11718500	C₂	semidirect
11. C₂×#11718500	C₂	semidirect
14. C₂×#11718369	C₂	semidirect
15. C₂×#11718350	C₂	semidirect
16. C₂×C₁₃×#433	C₂	semidirect
38. C₁₃×#433	C₂²	semidirect
39. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
40. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
43. C₂×C₁₃×#97	C₂²	semidirect
44. C₂×C₄×C₈×C₁₃	C₂²	semidirect
51. C₂×#88055	C₂²	semidirect
52. C₂×#88055	C₂²	semidirect
53. C₂×#88054	C₂²	semidirect
54. C₂×#88054	C₂²	semidirect
55. C₂×#88054	C₂²	semidirect
56. C₂×#88054	C₂²	semidirect
57. C₂×C₈×Dic₁₃	C₂²	semidirect
58. C₂×C₈×Dic₁₃	C₂²	semidirect
59. #11718661	C₂²	semidirect
60. C₂×C₄⋊#1055	C₂²	semidirect
61. C₂×C₄⋊#1055	C₂²	semidirect
62. C₂×#88043	C₂²	semidirect
63. C₂×C₄×#1055	C₂²	semidirect
64. #11718500	C₂²	semidirect
65. #11718500	C₂²	semidirect
66. #11718496	C₂²	semidirect
67. #11718494	C₂²	semidirect
70. #11718381	C₂²	semidirect
71. #11718381	C₂²	semidirect
72. #11718369	C₂²	semidirect
73. #11718366	C₂²	semidirect
74. #11718350	C₂²	semidirect
75. #11718346	C₂²	semidirect
151. C₁₃×C₄⋊C₈	C₂³	semidirect
152. C₁₃×C₄⋊C₈	C₂³	semidirect
155. C₁₃×#97	C₂³	semidirect
156. C₄×C₈×C₁₃	C₂³	semidirect
163. #88055	C₂³	semidirect
164. #88055	C₂³	semidirect
165. #88054	C₂³	semidirect
166. #88054	C₂³	semidirect
167. #88054	C₂³	semidirect
168. #88054	C₂³	semidirect
169. C₈×Dic₁₃	C₂³	semidirect
170. C₈×Dic₁₃	C₂³	semidirect
171. C₄⋊#1055	C₂³	semidirect
172. C₄⋊#1055	C₂³	semidirect
173. #88043	C₂³	semidirect
174. C₄×#1055	C₂³	semidirect
277. C₂×#433	D₁₃	semidirect
379. #433	C₂×D₁₃	semidirect
392. C₂×C₄⋊C₈	C₂×D₁₃	semidirect
393. C₂×C₄⋊C₈	C₂×D₁₃	semidirect
409. C₂×#97	C₂×D₁₃	semidirect
413. C₂×C₄×C₈	C₂×D₁₃	semidirect
526. C₄⋊C₈	C₂²×D₁₃	semidirect
527. C₄⋊C₈	C₂²×D₁₃	semidirect
539. #97	C₂²×D₁₃	semidirect
543. C₄×C₈	C₂²×D₁₃	semidirect
545. C₂×C₁₃	#2924	semidirect
647. C₁₃	C₂×#2924	semidirect
749. C₂	#13123492	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×D₁₃×#117	2
#13123492	2
C₂×#11718661	2
C₂×#11718381	2
C₂×#11718496	2
C₂×#11718366	2
C₂×#11718494	2
C₂×#11718346	2
C₂×#11718500	2
C₂×#11718387	2
C₂×D₁₃×C₂²⋊C₈	2
C₂×#11718369	2
C₂×#11718350	2
C₂×C₁₃×#433	2
C₂×#2924	13

Subgroups — C2×#13123492 #16726671

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13123492 #16726671