Subgroups — C₂×C₁₃×#3154 #15746979

Order 3328.

3342 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂³×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₃×#536	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×#535	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3154	C₂	1	16	yes	maximal, direct product factor
8	C₂×C₁₃×#497	C₂	1	2	yes	maximal, complemented
9	C₂×C₁₃×#496	C₂	1	2	yes	maximal, complemented
10	C₂×C₁₃×#495	C₂	1	2	yes	maximal, complemented
11	C₂×C₁₃×#492	C₂	1	2	yes	maximal, complemented
12	C₂×C₁₃×#405	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
14	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
15	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic
16	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×#137	—	2	8	no	—
18	C₂×C₁₃×#137	C₂²	1	8	yes	complemented
19	C₂×C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
20	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	8	yes	complemented
21	C₂×C₁₃×#135	—	2	8	no	—
22	C₂×C₁₃×#135	C₂²	1	8	yes	complemented
23	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
24	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
25	C₂²×C₁₃×SD₁₆	—	2	8	no	—
26	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
27	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
28	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
29	C₂²×C₁₃×SD₁₆	C₂²	1	8	yes	complemented
30	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
31	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
32	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
33	C₂²×C₁₃×D₈	C₂²	1	2	yes	—
34	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
36	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
37	C₁₃×#536	—	2	4	no	—
38	C₁₃×#536	C₂²	1	8	yes	complemented
39	C₁₃×#535	—	2	4	no	—
40	C₁₃×#535	C₂²	1	8	yes	complemented
41	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
42	C₂×C₁₃×#127	C₂²	1	2	yes	—
43	C₂×C₁₃×#124	C₂²	1	2	yes	—
44	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
45	C₂×C₁₃×#123	—	2	2	no	—
46	C₂×C₁₃×C₂²⋊Q₈	—	2	2	no	—
47	C₂×C₁₃×#121	—	2	2	no	—
48	C₂×C₁₃×#120	—	2	2	no	—
49	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
50	C₁₃×#497	C₂²	1	16	yes	complemented
51	C₁₃×#496	C₂²	1	16	yes	complemented
52	C₁₃×#495	C₂²	1	16	yes	complemented
53	C₁₃×#492	C₂²	1	16	yes	complemented
54	C₁₃×#405	C₂²	1	8	yes	complemented
55	C₂×C₁₃×#97	C₂²	1	2	yes	complemented
56	C₂×C₄×C₈×C₁₃	C₂²	1	2	yes	complemented
57	C₂⁵×C₁₃	—	2	1	no	—
58	C₂×C₁₃×#41	—	2	2	no	—
59	C₂×C₁₃×#41	—	2	2	no	—
60	C₂×C₁₃×#41	—	2	4	no	—
61	C₂×C₁₃×#41	—	2	4	no	—
62	C₂×C₁₃×#41	—	2	4	no	—
63	C₂×C₁₃×#41	—	2	4	no	—
64	C₂×C₁₃×#41	C₂³	1	4	yes	—
65	C₂×C₁₃×#41	C₂³	1	4	yes	—
66	C₂²×Q₈×C₁₃	—	2	1	no	—
67	C₂²×Q₈×C₁₃	—	2	2	no	—
68	C₂²×Q₈×C₁₃	—	2	4	no	—
69	C₂²×Q₈×C₁₃	—	2	4	no	—
70	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
71	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
72	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
73	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
74	C₂²×D₄×C₁₃	—	2	1	no	—
75	C₂²×D₄×C₁₃	—	2	1	no	—
76	C₂²×D₄×C₁₃	—	2	4	no	—
77	C₂²×D₄×C₁₃	—	2	4	no	—
78	C₂²×D₄×C₁₃	—	2	1	no	—
79	C₂²×D₄×C₁₃	—	2	2	no	—
80	C₂²×D₄×C₁₃	—	2	4	no	—
81	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
82	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
83	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
84	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
85	C₂³×C₄×C₁₃	—	2	1	no	—
86	C₂³×C₄×C₁₃	—	2	1	no	—
87	C₂³×C₄×C₁₃	—	2	1	no	—
88	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
89	C₁₃×#137	—	2	32	no	—
90	C₁₃×AGL(1,ℤ/8)	—	2	32	no	—
91	C₁₃×#135	—	2	32	no	—
92	C₂×C₁₃×Q₁₆	—	2	4	no	—
93	C₂×C₁₃×Q₁₆	—	2	8	no	—
94	C₂×C₁₃×Q₁₆	C₂³	1	8	yes	complemented
95	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	complemented
96	C₂×C₁₃×SD₁₆	—	2	8	no	—
97	C₂×C₁₃×SD₁₆	—	2	8	no	—
98	C₂×C₁₃×SD₁₆	—	2	8	no	—
99	C₂×C₁₃×SD₁₆	—	2	4	no	—
100	C₂×C₁₃×SD₁₆	—	2	4	no	—
101	C₂×C₁₃×SD₁₆	—	2	8	no	—
102	C₂×C₁₃×SD₁₆	—	2	32	no	—
103	C₂×C₁₃×SD₁₆	C₂³	1	8	yes	—
104	C₂×C₁₃×SD₁₆	C₂³	1	8	yes	—
105	C₂×C₁₃×SD₁₆	C₂³	1	8	yes	—
106	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
107	C₂×C₁₃×SD₁₆	C₂³	1	8	yes	complemented
108	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
109	C₂×C₁₃×D₈	—	2	8	no	—
110	C₂×C₁₃×D₈	—	2	4	no	—
111	C₂×C₁₃×D₈	C₂³	1	8	yes	—
112	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
113	C₂×C₁₃×M₁₆	D₄	1	8	yes	complemented
114	C₂×C₁₃×M₁₆	C₂³	1	4	yes	—
115	C₂²×C₈×C₁₃	D₄	1	8	yes	complemented
116	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
117	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
118	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
119	C₂²×C₈×C₁₃	C₂³	1	4	yes	—
120	C₁₃×C₄⋊Q₈	—	2	4	no	—
121	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
122	C₁₃×#127	—	2	4	no	—
123	C₁₃×#127	C₂³	1	8	yes	—
124	C₁₃×#124	—	2	4	no	—
125	C₁₃×#124	—	2	4	no	—
126	C₁₃×#124	C₂³	1	8	yes	—
127	C₁₃×#124	C₂³	1	8	yes	complemented
128	C₁₃×#123	—	2	16	no	—
129	C₁₃×C₂²⋊Q₈	—	2	16	no	—
130	C₁₃×#121	—	2	16	no	—
131	C₁₃×#120	—	2	16	no	—
132	C₁₃×#117	D₄	1	4	yes	—
133	C₁₃×#117	C₂³	1	4	yes	—
134	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
135	C₂×C₁₃×C₄⋊C₄	D₄	1	2	yes	—
136	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
137	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
138	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
139	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
140	C₁₃×#97	C₂³	1	8	yes	complemented
141	C₄×C₈×C₁₃	C₂³	1	8	yes	complemented
142	C₂×#3154	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
143	C₂⁴×C₁₃	—	2	1	no	—
144	C₂⁴×C₁₃	—	2	2	no	—
145	C₂⁴×C₁₃	—	2	1	no	—
146	C₂⁴×C₁₃	—	2	4	no	—
147	C₂⁴×C₁₃	—	4	4	no	—
148	C₂⁴×C₁₃	—	8	4	no	—
149	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
150	C₁₃×#41	—	2	8	no	—
151	C₁₃×#41	—	2	8	no	—
152	C₁₃×#41	—	2	8	no	—
153	C₁₃×#41	—	2	8	no	—
154	C₁₃×#41	—	4	8	no	—
155	C₁₃×#41	—	4	8	no	—
156	C₂×Q₈×C₁₃	—	2	4	no	—
157	C₂×Q₈×C₁₃	—	2	1	no	—
158	C₂×Q₈×C₁₃	—	2	2	no	—
159	C₂×Q₈×C₁₃	—	2	1	no	—
160	C₂×Q₈×C₁₃	—	2	4	no	—
161	C₂×Q₈×C₁₃	—	2	8	no	—
162	C₂×Q₈×C₁₃	—	2	2	no	—
163	C₂×Q₈×C₁₃	—	2	4	no	—
164	C₂×Q₈×C₁₃	—	2	2	no	—
165	C₂×Q₈×C₁₃	—	2	2	no	—
166	C₂×Q₈×C₁₃	—	2	2	no	—
167	C₂×Q₈×C₁₃	—	2	8	no	—
168	C₂×Q₈×C₁₃	—	4	4	no	—
169	C₂×Q₈×C₁₃	—	4	8	no	—
170	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
171	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
172	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
173	C₂×D₄×C₁₃	—	2	4	no	—
174	C₂×D₄×C₁₃	—	2	4	no	—
175	C₂×D₄×C₁₃	—	2	2	no	—
176	C₂×D₄×C₁₃	—	2	4	no	—
177	C₂×D₄×C₁₃	—	2	2	no	—
178	C₂×D₄×C₁₃	—	2	2	no	—
179	C₂×D₄×C₁₃	—	2	4	no	—
180	C₂×D₄×C₁₃	—	2	8	no	—
181	C₂×D₄×C₁₃	—	2	2	no	—
182	C₂×D₄×C₁₃	—	2	8	no	—
183	C₂×D₄×C₁₃	—	2	4	no	—
184	C₂×D₄×C₁₃	—	2	1	no	—
185	C₂×D₄×C₁₃	—	2	2	no	—
186	C₂×D₄×C₁₃	—	2	1	no	—
187	C₂×D₄×C₁₃	—	2	16	no	—
188	C₂×D₄×C₁₃	—	4	4	no	—
189	C₂×D₄×C₁₃	—	4	4	no	—
190	C₂×D₄×C₁₃	—	4	4	no	—
191	C₂×D₄×C₁₃	—	4	8	no	—
192	C₂×D₄×C₁₃	—	8	8	no	—
193	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
194	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
195	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
196	C₂²×C₄×C₁₃	—	2	4	no	—
197	C₂²×C₄×C₁₃	—	2	1	no	—
198	C₂²×C₄×C₁₃	—	2	2	no	—
199	C₂²×C₄×C₁₃	—	2	1	no	—
200	C₂²×C₄×C₁₃	—	2	4	no	—
201	C₂²×C₄×C₁₃	—	2	4	no	—
202	C₂²×C₄×C₁₃	—	4	4	no	—
203	C₂²×C₄×C₁₃	—	4	4	no	—
204	C₂²×C₄×C₁₃	—	4	4	no	—
205	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
206	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
207	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
208	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
209	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
210	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
211	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
212	C₁₃×Q₁₆	—	2	8	no	—
213	C₁₃×Q₁₆	—	2	16	no	—
214	C₁₃×SD₁₆	—	2	16	no	—
215	C₁₃×SD₁₆	—	2	16	no	—
216	C₁₃×SD₁₆	—	2	16	no	—
217	C₁₃×SD₁₆	—	2	8	no	—
218	C₁₃×SD₁₆	—	2	8	no	—
219	C₁₃×SD₁₆	—	2	16	no	—
220	C₁₃×D₈	—	2	16	no	—
221	C₁₃×D₈	—	2	8	no	—
222	C₁₃×M₁₆	C₂×D₄	1	16	yes	complemented
223	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	—
224	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	—
225	C₂×C₈×C₁₃	C₂×D₄	1	8	yes	—
226	C₂×C₈×C₁₃	C₂×D₄	1	16	yes	complemented
227	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
228	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
229	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
230	C₁₃×C₄⋊C₄	—	2	16	no	—
231	C₁₃×C₄⋊C₄	C₂×D₄	1	8	yes	—
232	C₁₃×C₂²⋊C₄	—	2	16	no	—
233	C₁₃×C₂²⋊C₄	—	2	16	no	—
234	C₁₃×C₂²⋊C₄	C₂×D₄	1	8	yes	—
235	C₄²×C₁₃	C₂×D₄	1	4	yes	—
236	C₄²×C₁₃	C₂⁴	1	4	yes	—
237	C₂²×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
238	C₂²×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
239	C₂²×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
240	C₂³×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
241	C₂×#536	C₂×C₁₃	1	1	yes	characteristic, complemented
242	C₂×#535	C₂×C₁₃	1	1	yes	characteristic, complemented
243	#3154	C₂×C₁₃	1	16	yes	direct product factor
244	C₂×#497	C₂×C₁₃	1	2	yes	complemented
245	C₂×#496	C₂×C₁₃	1	2	yes	complemented
246	C₂×#495	C₂×C₁₃	1	2	yes	complemented
247	C₂×#492	C₂×C₁₃	1	2	yes	complemented
248	C₂×#405	C₂×C₁₃	1	1	yes	characteristic, complemented
249	C₂³×C₁₃	—	2	4	no	—
250	C₂³×C₁₃	—	2	2	no	—
251	C₂³×C₁₃	—	2	4	no	—
252	C₂³×C₁₃	—	2	2	no	—
253	C₂³×C₁₃	—	4	2	no	—
254	C₂³×C₁₃	—	4	2	no	—
255	C₂³×C₁₃	—	4	8	no	—
256	C₂³×C₁₃	—	4	4	no	—
257	C₂³×C₁₃	—	4	4	no	—
258	C₂³×C₁₃	—	4	8	no	—
259	C₂³×C₁₃	—	4	4	no	—
260	C₂³×C₁₃	—	8	8	no	—
261	C₂³×C₁₃	—	8	16	no	—
262	C₂³×C₁₃	#127	1	4	yes	—
263	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
264	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
265	Q₈×C₁₃	—	2	4	no	—
266	Q₈×C₁₃	—	2	2	no	—
267	Q₈×C₁₃	—	2	4	no	—
268	Q₈×C₁₃	—	2	2	no	—
269	Q₈×C₁₃	—	2	2	no	—
270	Q₈×C₁₃	—	2	2	no	—
271	Q₈×C₁₃	—	4	8	no	—
272	Q₈×C₁₃	—	4	4	no	—
273	Q₈×C₁₃	—	4	2	no	—
274	Q₈×C₁₃	—	4	2	no	—
275	D₄×C₁₃	—	2	2	no	—
276	D₄×C₁₃	—	2	4	no	—
277	D₄×C₁₃	—	2	2	no	—
278	D₄×C₁₃	—	2	2	no	—
279	D₄×C₁₃	—	2	4	no	—
280	D₄×C₁₃	—	2	2	no	—
281	D₄×C₁₃	—	4	8	no	—
282	D₄×C₁₃	—	4	8	no	—
283	D₄×C₁₃	—	4	8	no	—
284	D₄×C₁₃	—	4	4	no	—
285	D₄×C₁₃	—	4	2	no	—
286	D₄×C₁₃	—	4	2	no	—
287	D₄×C₁₃	—	8	16	no	—
288	C₂×C₄×C₁₃	—	2	8	no	—
289	C₂×C₄×C₁₃	—	2	2	no	—
290	C₂×C₄×C₁₃	—	2	4	no	—
291	C₂×C₄×C₁₃	—	2	2	no	—
292	C₂×C₄×C₁₃	—	4	2	no	—
293	C₂×C₄×C₁₃	—	4	2	no	—
294	C₂×C₄×C₁₃	—	4	8	no	—
295	C₂×C₄×C₁₃	—	4	4	no	—
296	C₂×C₄×C₁₃	—	4	8	no	—
297	C₂×C₄×C₁₃	—	4	8	no	—
298	C₂×C₄×C₁₃	#127	1	4	yes	—
299	C₂×C₄×C₁₃	#127	1	8	yes	—
300	C₂×C₄×C₁₃	C₂²×D₄	1	8	yes	—
301	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
302	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
303	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
304	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
305	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
306	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
307	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
308	C₈×C₁₃	C₂²×D₄	1	4	yes	—
309	C₈×C₁₃	C₂²×D₄	1	4	yes	—
310	C₈×C₁₃	C₂²×D₄	1	8	yes	—
311	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
312	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
313	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic
314	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
315	C₂×#137	—	2	8	no	—
316	C₂×#137	C₂²×C₁₃	1	8	yes	complemented
317	C₂×AGL(1,ℤ/8)	—	2	8	no	—
318	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	8	yes	complemented
319	C₂×#135	—	2	8	no	—
320	C₂×#135	C₂²×C₁₃	1	8	yes	complemented
321	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
322	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
323	C₂²×SD₁₆	—	2	8	no	—
324	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
325	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
326	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
327	C₂²×SD₁₆	C₂²×C₁₃	1	8	yes	complemented
328	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
329	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
330	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
331	C₂²×D₈	C₂²×C₁₃	1	2	yes	—
332	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
333	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
334	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
335	#536	—	2	4	no	—
336	#536	C₂²×C₁₃	1	8	yes	complemented
337	#535	—	2	4	no	—
338	#535	C₂²×C₁₃	1	8	yes	complemented
339	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
340	C₂×#127	C₂²×C₁₃	1	2	yes	—
341	C₂×#124	C₂²×C₁₃	1	2	yes	—
342	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
343	C₂×#123	—	2	2	no	—
344	C₂×C₂²⋊Q₈	—	2	2	no	—
345	C₂×#121	—	2	2	no	—
346	C₂×#120	—	2	2	no	—
347	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
348	#497	C₂²×C₁₃	1	16	yes	complemented
349	#496	C₂²×C₁₃	1	16	yes	complemented
350	#495	C₂²×C₁₃	1	16	yes	complemented
351	#492	C₂²×C₁₃	1	16	yes	complemented
352	#405	C₂²×C₁₃	1	8	yes	complemented
353	C₂×#97	C₂²×C₁₃	1	2	yes	complemented
354	C₂×C₄×C₈	C₂²×C₁₃	1	2	yes	complemented
355	C₂²×C₁₃	—	2	8	no	—
356	C₂²×C₁₃	—	2	4	no	—
357	C₂²×C₁₃	—	4	2	no	—
358	C₂²×C₁₃	—	4	2	no	—
359	C₂²×C₁₃	—	4	4	no	—
360	C₂²×C₁₃	—	4	4	no	—
361	C₂²×C₁₃	—	4	8	no	—
362	C₂²×C₁₃	—	4	4	no	—
363	C₂²×C₁₃	—	8	16	no	—
364	C₂²×C₁₃	—	8	4	no	—
365	C₂²×C₁₃	—	8	4	no	—
366	C₂²×C₁₃	—	8	8	no	—
367	C₂²×C₁₃	C₂×#127	1	4	yes	—
368	C₂²×C₁₃	C₂×#127	1	2	yes	—
369	C₂²×C₁₃	#577	1	4	yes	—
370	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
371	C₄×C₁₃	—	2	8	no	—
372	C₄×C₁₃	—	4	2	no	—
373	C₄×C₁₃	—	4	2	no	—
374	C₄×C₁₃	—	4	4	no	—
375	C₄×C₁₃	C₂×#127	1	4	yes	—
376	C₄×C₁₃	C₂×#127	1	2	yes	—
377	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
378	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
379	C₂⁵	—	2	1	no	—
380	C₂×#41	—	2	2	no	—
381	C₂×#41	—	2	2	no	—
382	C₂×#41	—	2	4	no	—
383	C₂×#41	—	2	4	no	—
384	C₂×#41	—	2	4	no	—
385	C₂×#41	—	2	4	no	—
386	C₂×#41	C₂³×C₁₃	1	4	yes	—
387	C₂×#41	C₂³×C₁₃	1	4	yes	—
388	C₂²×Q₈	—	2	1	no	—
389	C₂²×Q₈	—	2	2	no	—
390	C₂²×Q₈	—	2	4	no	—
391	C₂²×Q₈	—	2	4	no	—
392	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
393	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
394	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
395	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
396	C₂²×D₄	—	2	1	no	—
397	C₂²×D₄	—	2	1	no	—
398	C₂²×D₄	—	2	4	no	—
399	C₂²×D₄	—	2	4	no	—
400	C₂²×D₄	—	2	1	no	—
401	C₂²×D₄	—	2	2	no	—
402	C₂²×D₄	—	2	4	no	—
403	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
404	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
405	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
406	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
407	C₂³×C₄	—	2	1	no	—
408	C₂³×C₄	—	2	1	no	—
409	C₂³×C₄	—	2	1	no	—
410	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
411	#137	—	2	32	no	—
412	AGL(1,ℤ/8)	—	2	32	no	—
413	#135	—	2	32	no	—
414	C₂×Q₁₆	—	2	4	no	—
415	C₂×Q₁₆	—	2	8	no	—
416	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	complemented
417	C₂×Q₁₆	C₂³×C₁₃	1	8	yes	complemented
418	C₂×SD₁₆	—	2	8	no	—
419	C₂×SD₁₆	—	2	8	no	—
420	C₂×SD₁₆	—	2	8	no	—
421	C₂×SD₁₆	—	2	4	no	—
422	C₂×SD₁₆	—	2	4	no	—
423	C₂×SD₁₆	—	2	8	no	—
424	C₂×SD₁₆	—	2	32	no	—
425	C₂×SD₁₆	C₂³×C₁₃	1	8	yes	—
426	C₂×SD₁₆	C₂³×C₁₃	1	8	yes	—
427	C₂×SD₁₆	C₂³×C₁₃	1	8	yes	—
428	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
429	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
430	C₂×SD₁₆	C₂³×C₁₃	1	8	yes	complemented
431	C₂×D₈	—	2	8	no	—
432	C₂×D₈	—	2	4	no	—
433	C₂×D₈	C₂³×C₁₃	1	8	yes	—
434	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
435	C₂×M₁₆	D₄×C₁₃	1	8	yes	complemented
436	C₂×M₁₆	C₂³×C₁₃	1	4	yes	—
437	C₂²×C₈	D₄×C₁₃	1	8	yes	complemented
438	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
439	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
440	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
441	C₂²×C₈	C₂³×C₁₃	1	4	yes	—
442	C₄⋊Q₈	—	2	4	no	—
443	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
444	#127	—	2	4	no	—
445	#127	C₂³×C₁₃	1	8	yes	—
446	#124	—	2	4	no	—
447	#124	—	2	4	no	—
448	#124	C₂³×C₁₃	1	8	yes	—
449	#124	C₂³×C₁₃	1	8	yes	complemented
450	#123	—	2	16	no	—
451	C₂²⋊Q₈	—	2	16	no	—
452	#121	—	2	16	no	—
453	#120	—	2	16	no	—
454	#117	D₄×C₁₃	1	4	yes	—
455	#117	C₂³×C₁₃	1	4	yes	—
456	C₂×C₄⋊C₄	—	2	4	no	—
457	C₂×C₄⋊C₄	D₄×C₁₃	1	2	yes	—
458	C₂×C₂²⋊C₄	—	2	4	no	—
459	C₂×C₂²⋊C₄	—	2	4	no	—
460	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
461	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
462	#97	C₂³×C₁₃	1	8	yes	complemented
463	C₄×C₈	C₂³×C₁₃	1	8	yes	complemented
464	C₂×C₁₃	—	2	4	no	—
465	C₂×C₁₃	—	8	2	no	—
466	C₂×C₁₃	—	8	2	no	—
467	C₂×C₁₃	—	8	4	no	—
468	C₂×C₁₃	#3154	1	4	yes	direct product factor
469	C₂×C₁₃	C₂²×#127	1	1	yes	characteristic
470	C₂×C₁₃	C₂×#577	1	2	yes	—
471	C₂⁴	—	2	1	no	—
472	C₂⁴	—	2	2	no	—
473	C₂⁴	—	2	1	no	—
474	C₂⁴	—	2	4	no	—
475	C₂⁴	—	4	4	no	—
476	C₂⁴	—	8	4	no	—
477	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
478	#41	—	2	8	no	—
479	#41	—	2	8	no	—
480	#41	—	2	8	no	—
481	#41	—	2	8	no	—
482	#41	—	4	8	no	—
483	#41	—	4	8	no	—
484	C₂×Q₈	—	2	4	no	—
485	C₂×Q₈	—	2	1	no	—
486	C₂×Q₈	—	2	2	no	—
487	C₂×Q₈	—	2	1	no	—
488	C₂×Q₈	—	2	4	no	—
489	C₂×Q₈	—	2	8	no	—
490	C₂×Q₈	—	2	2	no	—
491	C₂×Q₈	—	2	4	no	—
492	C₂×Q₈	—	2	2	no	—
493	C₂×Q₈	—	2	2	no	—
494	C₂×Q₈	—	2	2	no	—
495	C₂×Q₈	—	2	8	no	—
496	C₂×Q₈	—	4	4	no	—
497	C₂×Q₈	—	4	8	no	—
498	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
499	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
500	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
501	C₂×D₄	—	2	4	no	—
502	C₂×D₄	—	2	4	no	—
503	C₂×D₄	—	2	2	no	—
504	C₂×D₄	—	2	4	no	—
505	C₂×D₄	—	2	2	no	—
506	C₂×D₄	—	2	2	no	—
507	C₂×D₄	—	2	4	no	—
508	C₂×D₄	—	2	8	no	—
509	C₂×D₄	—	2	2	no	—
510	C₂×D₄	—	2	8	no	—
511	C₂×D₄	—	2	4	no	—
512	C₂×D₄	—	2	1	no	—
513	C₂×D₄	—	2	2	no	—
514	C₂×D₄	—	2	1	no	—
515	C₂×D₄	—	2	16	no	—
516	C₂×D₄	—	4	4	no	—
517	C₂×D₄	—	4	4	no	—
518	C₂×D₄	—	4	4	no	—
519	C₂×D₄	—	4	8	no	—
520	C₂×D₄	—	8	8	no	—
521	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
522	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
523	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
524	C₂²×C₄	—	2	1	no	—
525	C₂²×C₄	—	2	2	no	—
526	C₂²×C₄	—	2	1	no	—
527	C₂²×C₄	—	2	4	no	—
528	C₂²×C₄	—	2	4	no	—
529	C₂²×C₄	—	2	4	no	—
530	C₂²×C₄	—	4	4	no	—
531	C₂²×C₄	—	4	4	no	—
532	C₂²×C₄	—	4	4	no	—
533	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
534	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
535	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
536	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
537	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
538	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
539	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
540	Q₁₆	—	2	8	no	—
541	Q₁₆	—	2	16	no	—
542	SD₁₆	—	2	16	no	—
543	SD₁₆	—	2	16	no	—
544	SD₁₆	—	2	16	no	—
545	SD₁₆	—	2	8	no	—
546	SD₁₆	—	2	8	no	—
547	SD₁₆	—	2	16	no	—
548	D₈	—	2	16	no	—
549	D₈	—	2	8	no	—
550	M₁₆	C₂×D₄×C₁₃	1	16	yes	complemented
551	C₂×C₈	C₂×D₄×C₁₃	1	4	yes	—
552	C₂×C₈	C₂×D₄×C₁₃	1	4	yes	—
553	C₂×C₈	C₂×D₄×C₁₃	1	8	yes	—
554	C₂×C₈	C₂×D₄×C₁₃	1	16	yes	complemented
555	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
556	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
557	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
558	C₄⋊C₄	—	2	16	no	—
559	C₄⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
560	C₂²⋊C₄	—	2	16	no	—
561	C₂²⋊C₄	—	2	16	no	—
562	C₂²⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
563	C₄²	C₂×D₄×C₁₃	1	4	yes	—
564	C₄²	C₂⁴×C₁₃	1	4	yes	—
565	C₁₃	C₂×#3154	1	1	yes	characteristic, direct product factor, Sylow
566	C₂³	—	2	4	no	—
567	C₂³	—	2	2	no	—
568	C₂³	—	2	4	no	—
569	C₂³	—	2	2	no	—
570	C₂³	—	4	2	no	—
571	C₂³	—	4	2	no	—
572	C₂³	—	4	8	no	—
573	C₂³	—	4	4	no	—
574	C₂³	—	4	4	no	—
575	C₂³	—	4	8	no	—
576	C₂³	—	4	4	no	—
577	C₂³	—	8	8	no	—
578	C₂³	—	8	16	no	—
579	C₂³	C₁₃×#127	1	4	yes	—
580	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
581	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
582	Q₈	—	2	4	no	—
583	Q₈	—	2	2	no	—
584	Q₈	—	2	4	no	—
585	Q₈	—	2	2	no	—
586	Q₈	—	2	2	no	—
587	Q₈	—	2	2	no	—
588	Q₈	—	4	8	no	—
589	Q₈	—	4	4	no	—
590	Q₈	—	4	2	no	—
591	Q₈	—	4	2	no	—
592	D₄	—	2	2	no	—
593	D₄	—	2	4	no	—
594	D₄	—	2	2	no	—
595	D₄	—	2	2	no	—
596	D₄	—	2	4	no	—
597	D₄	—	2	2	no	—
598	D₄	—	4	8	no	—
599	D₄	—	4	8	no	—
600	D₄	—	4	8	no	—
601	D₄	—	4	4	no	—
602	D₄	—	4	2	no	—
603	D₄	—	4	2	no	—
604	D₄	—	8	16	no	—
605	C₂×C₄	—	2	8	no	—
606	C₂×C₄	—	2	2	no	—
607	C₂×C₄	—	2	4	no	—
608	C₂×C₄	—	2	2	no	—
609	C₂×C₄	—	4	2	no	—
610	C₂×C₄	—	4	2	no	—
611	C₂×C₄	—	4	8	no	—
612	C₂×C₄	—	4	4	no	—
613	C₂×C₄	—	4	8	no	—
614	C₂×C₄	—	4	8	no	—
615	C₂×C₄	C₁₃×#127	1	4	yes	—
616	C₂×C₄	C₁₃×#127	1	8	yes	—
617	C₂×C₄	C₂²×D₄×C₁₃	1	8	yes	—
618	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
619	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
620	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
621	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
622	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
623	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
624	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
625	C₈	C₂²×D₄×C₁₃	1	4	yes	—
626	C₈	C₂²×D₄×C₁₃	1	4	yes	—
627	C₈	C₂²×D₄×C₁₃	1	8	yes	—
628	C₂²	—	2	4	no	—
629	C₂²	—	2	8	no	—
630	C₂²	—	4	4	no	—
631	C₂²	—	4	8	no	—
632	C₂²	—	4	4	no	—
633	C₂²	—	4	2	no	—
634	C₂²	—	4	2	no	—
635	C₂²	—	4	4	no	—
636	C₂²	—	8	16	no	—
637	C₂²	—	8	4	no	—
638	C₂²	—	8	4	no	—
639	C₂²	—	8	8	no	—
640	C₂²	C₂×C₁₃×#127	1	4	yes	—
641	C₂²	C₂×C₁₃×#127	1	2	yes	—
642	C₂²	C₁₃×#577	1	4	yes	—
643	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
644	C₄	—	2	8	no	—
645	C₄	—	4	2	no	—
646	C₄	—	4	2	no	—
647	C₄	—	4	4	no	—
648	C₄	C₂×C₁₃×#127	1	4	yes	—
649	C₄	C₂×C₁₃×#127	1	2	yes	—
650	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
651	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
652	C₂	—	2	4	no	—
653	C₂	—	8	4	no	—
654	C₂	—	8	2	no	—
655	C₂	—	8	2	no	—
656	C₂	C₁₃×#3154	1	4	yes	direct product factor
657	C₂	C₂²×C₁₃×#127	1	1	yes	characteristic
658	C₂	C₂×C₁₃×#577	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₁₃×#137	C₂	semidirect
2. C₂²×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
3. C₂²×C₁₃×#135	C₂	semidirect
4. C₂³×C₁₃×SD₁₆	C₂	semidirect
5. C₂×C₁₃×#536	C₂	semidirect
6. C₂×C₁₃×#535	C₂	semidirect
7. C₁₃×#3154	C₂	direct (N × H)
8. C₂×C₁₃×#497	C₂	semidirect
9. C₂×C₁₃×#496	C₂	semidirect
10. C₂×C₁₃×#495	C₂	semidirect
11. C₂×C₁₃×#492	C₂	semidirect
12. C₂×C₁₃×#405	C₂	semidirect
18. C₂×C₁₃×#137	C₂²	semidirect
20. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
22. C₂×C₁₃×#135	C₂²	semidirect
23. C₂²×C₁₃×Q₁₆	C₂²	semidirect
24. C₂²×C₁₃×Q₁₆	C₂²	semidirect
29. C₂²×C₁₃×SD₁₆	C₂²	semidirect
30. C₂²×C₁₃×SD₁₆	C₂²	semidirect
31. C₂²×C₁₃×SD₁₆	C₂²	semidirect
32. C₂²×C₁₃×SD₁₆	C₂²	semidirect
34. C₂²×C₁₃×D₈	C₂²	semidirect
38. C₁₃×#536	C₂²	semidirect
40. C₁₃×#535	C₂²	semidirect
41. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
44. C₂×C₁₃×#124	C₂²	semidirect
50. C₁₃×#497	C₂²	semidirect
51. C₁₃×#496	C₂²	semidirect
52. C₁₃×#495	C₂²	semidirect
53. C₁₃×#492	C₂²	semidirect
54. C₁₃×#405	C₂²	semidirect
55. C₂×C₁₃×#97	C₂²	semidirect
56. C₂×C₄×C₈×C₁₃	C₂²	semidirect
94. C₂×C₁₃×Q₁₆	C₂³	semidirect
95. C₂×C₁₃×Q₁₆	C₂³	semidirect
106. C₂×C₁₃×SD₁₆	C₂³	semidirect
107. C₂×C₁₃×SD₁₆	C₂³	semidirect
108. C₂×C₁₃×SD₁₆	C₂³	semidirect
112. C₂×C₁₃×D₈	C₂³	semidirect
113. C₂×C₁₃×M₁₆	D₄	semidirect
115. C₂²×C₈×C₁₃	D₄	semidirect
121. C₁₃×C₄⋊Q₈	C₂³	semidirect
127. C₁₃×#124	C₂³	semidirect
140. C₁₃×#97	C₂³	semidirect
141. C₄×C₈×C₁₃	C₂³	semidirect
142. C₂×#3154	C₁₃	direct (N × H)
222. C₁₃×M₁₆	C₂×D₄	semidirect
226. C₂×C₈×C₁₃	C₂×D₄	semidirect
237. C₂²×#137	C₂×C₁₃	semidirect
238. C₂²×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
239. C₂²×#135	C₂×C₁₃	semidirect
240. C₂³×SD₁₆	C₂×C₁₃	semidirect
241. C₂×#536	C₂×C₁₃	semidirect
242. C₂×#535	C₂×C₁₃	semidirect
243. #3154	C₂×C₁₃	direct (N × H)
244. C₂×#497	C₂×C₁₃	semidirect
245. C₂×#496	C₂×C₁₃	semidirect
246. C₂×#495	C₂×C₁₃	semidirect
247. C₂×#492	C₂×C₁₃	semidirect
248. C₂×#405	C₂×C₁₃	semidirect
316. C₂×#137	C₂²×C₁₃	semidirect
318. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
320. C₂×#135	C₂²×C₁₃	semidirect
321. C₂²×Q₁₆	C₂²×C₁₃	semidirect
322. C₂²×Q₁₆	C₂²×C₁₃	semidirect
327. C₂²×SD₁₆	C₂²×C₁₃	semidirect
328. C₂²×SD₁₆	C₂²×C₁₃	semidirect
329. C₂²×SD₁₆	C₂²×C₁₃	semidirect
330. C₂²×SD₁₆	C₂²×C₁₃	semidirect
332. C₂²×D₈	C₂²×C₁₃	semidirect
336. #536	C₂²×C₁₃	semidirect
338. #535	C₂²×C₁₃	semidirect
339. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
342. C₂×#124	C₂²×C₁₃	semidirect
348. #497	C₂²×C₁₃	semidirect
349. #496	C₂²×C₁₃	semidirect
350. #495	C₂²×C₁₃	semidirect
351. #492	C₂²×C₁₃	semidirect
352. #405	C₂²×C₁₃	semidirect
353. C₂×#97	C₂²×C₁₃	semidirect
354. C₂×C₄×C₈	C₂²×C₁₃	semidirect
416. C₂×Q₁₆	C₂³×C₁₃	semidirect
417. C₂×Q₁₆	C₂³×C₁₃	semidirect
428. C₂×SD₁₆	C₂³×C₁₃	semidirect
429. C₂×SD₁₆	C₂³×C₁₃	semidirect
430. C₂×SD₁₆	C₂³×C₁₃	semidirect
434. C₂×D₈	C₂³×C₁₃	semidirect
435. C₂×M₁₆	D₄×C₁₃	semidirect
437. C₂²×C₈	D₄×C₁₃	semidirect
443. C₄⋊Q₈	C₂³×C₁₃	semidirect
449. #124	C₂³×C₁₃	semidirect
462. #97	C₂³×C₁₃	semidirect
463. C₄×C₈	C₂³×C₁₃	semidirect
468. C₂×C₁₃	#3154	direct (N × H)
550. M₁₆	C₂×D₄×C₁₃	semidirect
554. C₂×C₈	C₂×D₄×C₁₃	semidirect
565. C₁₃	C₂×#3154	direct (N × H)
656. C₂	C₁₃×#3154	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₁₃×#137	2
C₂²×C₁₃×AGL(1,ℤ/8)	2
C₂²×C₁₃×#135	2
C₂³×C₁₃×SD₁₆	2
C₂×C₁₃×#536	2
C₂×C₁₃×#535	2
C₁₃×#3154	2
C₂×C₁₃×#497	2
C₂×C₁₃×#496	2
C₂×C₁₃×#495	2
C₂×C₁₃×#492	2
C₂×C₁₃×#405	2
C₂×#3154	13

Subgroups — C2×C13×#3154 #15746979

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3154 #15746979