Subgroups — C₁₃×#61485 #15747824

Order 3328.

1862 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3522	C₂	1	2	yes	maximal, complemented
2	C₁₃×#3396	C₂	1	1	yes	maximal, characteristic, complemented
3	Q₈×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3375	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3338	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3334	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3333	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3308	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3287	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3285	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3175	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3169	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3124	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3112	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2951	C₂	1	2	yes	maximal, complemented
17	C₂×C₄×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×#135	C₂²	1	2	yes	—
19	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
20	C₁₃×#559	—	2	2	no	—
21	C₁₃×#559	C₂²	1	2	yes	—
22	Q₈²×C₁₃	C₂²	1	2	yes	—
23	C₁₃×#554	—	2	2	no	—
24	C₁₃×#554	C₂²	1	2	yes	—
25	C₁₃×#550	C₂²	1	2	yes	—
26	C₁₃×#548	C₂²	1	4	yes	—
27	C₁₃×#547	—	2	4	no	—
28	C₁₃×#547	C₂²	1	4	yes	—
29	C₁₃×#542	—	2	4	no	—
30	C₁₃×#542	C₂²	1	4	yes	—
31	C₁₃×#532	—	2	2	no	—
32	C₁₃×#532	C₂²	1	2	yes	—
33	C₁₃×#529	—	2	2	no	—
34	C₁₃×#529	C₂²	1	1	yes	characteristic
35	C₁₃×#520	C₂²	1	4	yes	—
36	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
37	C₁₃×#500	C₂²	1	2	yes	—
38	C₁₃×#500	C₂²	1	1	yes	characteristic
39	C₁₃×#495	C₂²	1	2	yes	—
40	C₁₃×#493	C₂²	1	1	yes	characteristic
41	C₁₃×#489	C₂²	1	4	yes	—
42	C₁₃×#486	C₂²	1	2	yes	—
43	C₁₃×#484	C₂²	1	4	yes	—
44	C₁₃×#480	C₂²	1	4	yes	—
45	C₁₃×#480	C₂²	1	4	yes	—
46	C₁₃×#477	C₂²	1	4	yes	—
47	C₁₃×#477	C₂²	1	2	yes	—
48	C₁₃×#477	C₂²	1	2	yes	—
49	C₁₃×#474	C₂²	1	4	yes	—
50	C₁₃×#468	C₂²	1	4	yes	—
51	C₁₃×#467	C₂²	1	2	yes	—
52	C₁₃×#466	C₂²	1	2	yes	—
53	C₁₃×#466	C₂²	1	2	yes	—
54	C₁₃×#466	C₂²	1	2	yes	—
55	C₁₃×#464	C₂²	1	4	yes	—
56	C₁₃×#463	C₂²	1	4	yes	—
57	C₁₃×#460	C₂²	1	2	yes	—
58	C₁₃×#460	C₂²	1	2	yes	—
59	C₁₃×#452	C₂²	1	4	yes	—
60	C₁₃×#449	C₂²	1	4	yes	—
61	C₁₃×#448	C₂²	1	4	yes	—
62	C₁₃×#446	C₂²	1	1	yes	characteristic
63	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
64	C₁₃×#440	C₂²	1	4	yes	—
65	C₁₃×#440	C₂²	1	4	yes	—
66	C₁₃×#440	C₂²	1	4	yes	—
67	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
68	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
69	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
70	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
71	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
72	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
73	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
74	C₄×C₁₃×D₈	C₂²	1	2	yes	—
75	C₄×C₁₃×D₈	C₂²	1	2	yes	—
76	C₄×C₁₃×D₈	C₂²	1	2	yes	—
77	C₁₃×#436	C₂²	1	1	yes	characteristic
78	C₁₃×#435	C₂²	1	2	yes	—
79	C₈×D₄×C₁₃	C₂²	1	2	yes	—
80	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
81	C₁₃×#433	C₂²	1	2	yes	—
82	C₁₃×#432	C₂²	1	1	yes	characteristic
83	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
84	C₂×C₁₃×#107	C₂²	1	2	yes	—
85	C₁₃×#417	C₂²	1	4	yes	—
86	C₂×C₁₃×#103	C₂²	1	2	yes	—
87	C₁₃×#405	C₂²	1	2	yes	—
88	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
89	C₂×C₁₃×#41	—	2	4	no	—
90	C₂×C₁₃×#41	—	2	2	no	—
91	C₂×C₁₃×#41	C₂³	1	4	yes	—
92	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
93	C₁₃×#135	—	2	8	no	—
94	C₂×C₁₃×Q₁₆	—	2	4	no	—
95	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
96	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
97	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
98	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
99	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
100	C₂×C₁₃×D₈	C₂³	1	2	yes	—
101	C₂×C₁₃×D₈	C₂³	1	2	yes	—
102	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
103	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
104	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
105	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
106	C₁₃×C₄⋊Q₈	—	2	2	no	—
107	C₁₃×C₄⋊Q₈	—	2	4	no	—
108	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
109	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
110	C₁₃×#127	—	2	2	no	—
111	C₁₃×#127	C₂³	1	2	yes	—
112	C₁₃×#126	—	2	4	no	—
113	C₁₃×#126	D₄	1	2	yes	—
114	C₁₃×#125	—	2	2	no	—
115	C₁₃×#125	D₄	1	1	yes	characteristic
116	C₁₃×#124	—	2	2	no	—
117	C₁₃×#124	—	2	4	no	—
118	C₁₃×#124	—	2	4	no	—
119	C₁₃×#124	—	2	2	no	—
120	C₁₃×#124	D₄	1	1	yes	characteristic
121	C₁₃×#124	C₂³	1	4	yes	—
122	C₁₃×#123	—	2	4	no	—
123	C₁₃×#123	—	2	4	no	—
124	C₁₃×#123	—	2	4	no	—
125	C₁₃×#123	—	2	4	no	—
126	C₁₃×#123	D₄	1	2	yes	—
127	C₁₃×C₂²⋊Q₈	—	2	4	no	—
128	C₁₃×C₂²⋊Q₈	—	2	4	no	—
129	C₁₃×C₂²⋊Q₈	—	2	4	no	—
130	C₁₃×C₂²⋊Q₈	—	2	4	no	—
131	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
132	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
133	C₁₃×#121	—	2	4	no	—
134	C₁₃×#121	—	2	2	no	—
135	C₁₃×#121	—	2	4	no	—
136	C₁₃×#121	D₄	1	1	yes	characteristic
137	C₁₃×#121	C₂³	1	4	yes	—
138	C₁₃×#121	C₂³	1	4	yes	—
139	C₄×Q₈×C₁₃	—	2	2	no	—
140	C₄×Q₈×C₁₃	—	2	2	no	—
141	C₄×Q₈×C₁₃	—	2	2	no	—
142	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
143	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
144	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
145	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
146	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
147	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
148	C₄×D₄×C₁₃	—	2	2	no	—
149	C₄×D₄×C₁₃	—	2	2	no	—
150	C₄×D₄×C₁₃	—	2	2	no	—
151	C₄×D₄×C₁₃	—	2	4	no	—
152	C₄×D₄×C₁₃	—	2	4	no	—
153	C₄×D₄×C₁₃	—	2	4	no	—
154	C₄×D₄×C₁₃	—	2	2	no	—
155	C₄×D₄×C₁₃	C₂³	1	4	yes	—
156	C₄×D₄×C₁₃	C₂³	1	4	yes	—
157	C₄×D₄×C₁₃	C₂³	1	2	yes	—
158	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
159	C₁₃×#117	—	2	4	no	—
160	C₁₃×#117	C₂³	1	2	yes	—
161	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
162	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
163	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
165	C₂×C₄²×C₁₃	—	2	2	no	—
166	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
167	C₁₃×#107	C₂³	1	1	yes	characteristic
168	C₁₃×#107	C₂³	1	2	yes	—
169	C₁₃×#107	C₂³	1	1	yes	characteristic
170	C₁₃×#107	C₂³	1	2	yes	—
171	C₁₃×#107	C₂³	1	4	yes	—
172	C₁₃×#107	C₂³	1	2	yes	—
173	C₁₃×#107	C₂³	1	4	yes	—
174	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
175	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
176	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
177	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
178	C₁₃×#103	C₂³	1	2	yes	—
179	C₁₃×#103	C₂³	1	2	yes	—
180	C₁₃×#103	C₂³	1	2	yes	—
181	C₁₃×#103	C₂³	1	2	yes	—
182	C₁₃×#103	C₂³	1	4	yes	—
183	C₁₃×#103	C₂³	1	4	yes	—
184	C₁₃×#102	C₂³	1	4	yes	—
185	C₁₃×#102	C₂³	1	4	yes	—
186	C₁₃×#102	C₂³	1	4	yes	—
187	C₁₃×#102	C₂³	1	4	yes	—
188	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
189	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
190	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
191	C₁₃×#97	C₂³	1	2	yes	—
192	C₁₃×#97	C₂³	1	2	yes	—
193	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
194	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
195	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
196	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
197	C₄×C₈×C₁₃	C₂³	1	2	yes	—
198	#61485	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
199	C₁₃×#41	—	2	8	no	—
200	C₁₃×#41	—	4	4	no	—
201	C₁₃×#41	—	8	4	no	—
202	C₁₃×#41	—	8	8	no	—
203	C₂×Q₈×C₁₃	—	2	2	no	—
204	C₂×Q₈×C₁₃	—	2	4	no	—
205	C₂×Q₈×C₁₃	—	2	2	no	—
206	C₂×Q₈×C₁₃	—	2	4	no	—
207	C₂×Q₈×C₁₃	—	4	2	no	—
208	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
209	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
210	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
211	C₂×D₄×C₁₃	—	2	4	no	—
212	C₂×D₄×C₁₃	—	2	4	no	—
213	C₂×D₄×C₁₃	—	2	4	no	—
214	C₂×D₄×C₁₃	—	2	2	no	—
215	C₂×D₄×C₁₃	—	2	2	no	—
216	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
217	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
218	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
219	C₂²×C₄×C₁₃	—	2	2	no	—
220	C₂²×C₄×C₁₃	—	2	2	no	—
221	C₂²×C₄×C₁₃	—	2	4	no	—
222	C₂²×C₄×C₁₃	—	2	4	no	—
223	C₂²×C₄×C₁₃	—	2	4	no	—
224	C₂²×C₄×C₁₃	—	2	4	no	—
225	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
226	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
227	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
228	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
229	C₁₃×Q₁₆	—	2	4	no	—
230	C₁₃×Q₁₆	—	2	2	no	—
231	C₁₃×Q₁₆	#41	1	4	yes	complemented
232	C₁₃×SD₁₆	—	2	8	no	—
233	C₁₃×SD₁₆	—	4	4	no	—
234	C₁₃×D₈	—	2	4	no	—
235	C₁₃×D₈	—	4	2	no	—
236	C₁₃×M₁₆	—	4	2	no	—
237	C₂×C₈×C₁₃	—	2	2	no	—
238	C₂×C₈×C₁₃	—	2	4	no	—
239	C₂×C₈×C₁₃	—	4	1	no	—
240	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
241	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
242	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
243	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
244	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
245	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
246	C₁₃×C₄⋊C₄	—	2	2	no	—
247	C₁₃×C₄⋊C₄	—	2	4	no	—
248	C₁₃×C₄⋊C₄	—	2	4	no	—
249	C₁₃×C₄⋊C₄	—	2	2	no	—
250	C₁₃×C₄⋊C₄	—	2	2	no	—
251	C₁₃×C₄⋊C₄	—	2	2	no	—
252	C₁₃×C₄⋊C₄	—	2	2	no	—
253	C₁₃×C₄⋊C₄	—	2	2	no	—
254	C₁₃×C₄⋊C₄	—	2	4	no	—
255	C₁₃×C₄⋊C₄	—	2	4	no	—
256	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
257	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
258	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
259	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
260	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
261	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
262	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
263	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
264	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
265	C₁₃×C₂²⋊C₄	—	2	4	no	—
266	C₁₃×C₂²⋊C₄	—	2	4	no	—
267	C₁₃×C₂²⋊C₄	—	2	4	no	—
268	C₁₃×C₂²⋊C₄	—	2	4	no	—
269	C₁₃×C₂²⋊C₄	—	2	4	no	—
270	C₁₃×C₂²⋊C₄	—	2	4	no	—
271	C₁₃×C₂²⋊C₄	—	2	4	no	—
272	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
273	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
274	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
275	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
276	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
277	C₄²×C₁₃	—	2	2	no	—
278	C₄²×C₁₃	—	2	2	no	—
279	C₄²×C₁₃	—	2	2	no	—
280	C₄²×C₁₃	—	2	2	no	—
281	C₄²×C₁₃	—	2	4	no	—
282	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
283	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
284	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
285	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
286	C₄²×C₁₃	C₂⁴	1	2	yes	—
287	#3522	C₂×C₁₃	1	2	yes	complemented
288	#3396	C₂×C₁₃	1	1	yes	characteristic, complemented
289	Q₈×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
290	#3375	C₂×C₁₃	1	2	yes	complemented
291	#3338	C₂×C₁₃	1	1	yes	characteristic, complemented
292	#3334	C₂×C₁₃	1	2	yes	complemented
293	#3333	C₂×C₁₃	1	2	yes	complemented
294	#3308	C₂×C₁₃	1	4	yes	complemented
295	#3287	C₂×C₁₃	1	1	yes	characteristic, complemented
296	#3285	C₂×C₁₃	1	2	yes	complemented
297	#3175	C₂×C₁₃	1	2	yes	complemented
298	#3169	C₂×C₁₃	1	1	yes	characteristic, complemented
299	#3124	C₂×C₁₃	1	4	yes	complemented
300	#3112	C₂×C₁₃	1	2	yes	complemented
301	#2966	C₂×C₁₃	1	1	yes	characteristic, complemented
302	#2951	C₂×C₁₃	1	2	yes	complemented
303	C₂×C₄×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
304	C₂³×C₁₃	—	2	4	no	—
305	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
306	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
307	Q₈×C₁₃	—	2	2	no	—
308	Q₈×C₁₃	—	2	2	no	—
309	Q₈×C₁₃	—	2	2	no	—
310	Q₈×C₁₃	—	2	2	no	—
311	Q₈×C₁₃	—	4	4	no	—
312	Q₈×C₁₃	—	8	2	no	—
313	Q₈×C₁₃	—	8	4	no	—
314	Q₈×C₁₃	C₂×#41	1	4	yes	—
315	D₄×C₁₃	—	2	4	no	—
316	D₄×C₁₃	—	2	2	no	—
317	D₄×C₁₃	—	2	4	no	—
318	D₄×C₁₃	—	2	4	no	—
319	D₄×C₁₃	—	4	8	no	—
320	D₄×C₁₃	—	4	8	no	—
321	D₄×C₁₃	—	4	4	no	—
322	D₄×C₁₃	—	8	2	no	—
323	D₄×C₁₃	—	8	4	no	—
324	C₂×C₄×C₁₃	—	2	2	no	—
325	C₂×C₄×C₁₃	—	2	2	no	—
326	C₂×C₄×C₁₃	—	2	2	no	—
327	C₂×C₄×C₁₃	—	2	1	no	—
328	C₂×C₄×C₁₃	—	2	2	no	—
329	C₂×C₄×C₁₃	—	2	1	no	—
330	C₂×C₄×C₁₃	—	2	2	no	—
331	C₂×C₄×C₁₃	—	2	2	no	—
332	C₂×C₄×C₁₃	—	2	2	no	—
333	C₂×C₄×C₁₃	—	2	2	no	—
334	C₂×C₄×C₁₃	—	2	4	no	—
335	C₂×C₄×C₁₃	—	4	8	no	—
336	C₂×C₄×C₁₃	—	4	4	no	—
337	C₂×C₄×C₁₃	—	4	4	no	—
338	C₂×C₄×C₁₃	—	8	4	no	—
339	C₂×C₄×C₁₃	—	8	4	no	—
340	C₂×C₄×C₁₃	—	8	4	no	—
341	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
342	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
343	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
344	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
345	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
346	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
347	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
348	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
349	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
350	C₈×C₁₃	—	2	2	no	—
351	C₈×C₁₃	—	2	1	no	—
352	C₈×C₁₃	—	2	1	no	—
353	C₈×C₁₃	—	2	1	no	—
354	C₈×C₁₃	—	2	2	no	—
355	C₈×C₁₃	C₂×#41	1	2	yes	—
356	C₂×#135	C₂²×C₁₃	1	2	yes	—
357	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
358	#559	—	2	2	no	—
359	#559	C₂²×C₁₃	1	2	yes	—
360	Q₈²	C₂²×C₁₃	1	2	yes	—
361	#554	—	2	2	no	—
362	#554	C₂²×C₁₃	1	2	yes	—
363	#550	C₂²×C₁₃	1	2	yes	—
364	#548	C₂²×C₁₃	1	4	yes	—
365	#547	—	2	4	no	—
366	#547	C₂²×C₁₃	1	4	yes	—
367	#542	—	2	4	no	—
368	#542	C₂²×C₁₃	1	4	yes	—
369	#532	—	2	2	no	—
370	#532	C₂²×C₁₃	1	2	yes	—
371	#529	—	2	2	no	—
372	#529	C₂²×C₁₃	1	1	yes	characteristic
373	#520	C₂²×C₁₃	1	4	yes	—
374	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
375	#500	C₂²×C₁₃	1	2	yes	—
376	#500	C₂²×C₁₃	1	1	yes	characteristic
377	#495	C₂²×C₁₃	1	2	yes	—
378	#493	C₂²×C₁₃	1	1	yes	characteristic
379	#489	C₂²×C₁₃	1	4	yes	—
380	#486	C₂²×C₁₃	1	2	yes	—
381	#484	C₂²×C₁₃	1	4	yes	—
382	#480	C₂²×C₁₃	1	4	yes	—
383	#480	C₂²×C₁₃	1	4	yes	—
384	#477	C₂²×C₁₃	1	2	yes	—
385	#477	C₂²×C₁₃	1	2	yes	—
386	#477	C₂²×C₁₃	1	4	yes	—
387	#474	C₂²×C₁₃	1	4	yes	—
388	#468	C₂²×C₁₃	1	4	yes	—
389	#467	C₂²×C₁₃	1	2	yes	—
390	#466	C₂²×C₁₃	1	2	yes	—
391	#466	C₂²×C₁₃	1	2	yes	—
392	#466	C₂²×C₁₃	1	2	yes	—
393	#464	C₂²×C₁₃	1	4	yes	—
394	#463	C₂²×C₁₃	1	4	yes	—
395	#460	C₂²×C₁₃	1	2	yes	—
396	#460	C₂²×C₁₃	1	2	yes	—
397	#452	C₂²×C₁₃	1	4	yes	—
398	#449	C₂²×C₁₃	1	4	yes	—
399	#448	C₂²×C₁₃	1	4	yes	—
400	#446	C₂²×C₁₃	1	1	yes	characteristic
401	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
402	#440	C₂²×C₁₃	1	4	yes	—
403	#440	C₂²×C₁₃	1	4	yes	—
404	#440	C₂²×C₁₃	1	4	yes	—
405	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
406	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
407	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
408	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
409	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
410	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
411	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
412	C₄×D₈	C₂²×C₁₃	1	2	yes	—
413	C₄×D₈	C₂²×C₁₃	1	2	yes	—
414	C₄×D₈	C₂²×C₁₃	1	2	yes	—
415	#436	C₂²×C₁₃	1	1	yes	characteristic
416	#435	C₂²×C₁₃	1	2	yes	—
417	C₈×D₄	C₂²×C₁₃	1	2	yes	—
418	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
419	#433	C₂²×C₁₃	1	2	yes	—
420	#432	C₂²×C₁₃	1	1	yes	characteristic
421	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
422	C₂×#107	C₂²×C₁₃	1	2	yes	—
423	#417	C₂²×C₁₃	1	4	yes	—
424	C₂×#103	C₂²×C₁₃	1	2	yes	—
425	#405	C₂²×C₁₃	1	2	yes	—
426	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
427	C₂²×C₁₃	—	2	1	no	—
428	C₂²×C₁₃	—	2	1	no	—
429	C₂²×C₁₃	—	2	2	no	—
430	C₂²×C₁₃	—	2	2	no	—
431	C₂²×C₁₃	—	2	2	no	—
432	C₂²×C₁₃	—	4	4	no	—
433	C₂²×C₁₃	—	4	4	no	—
434	C₂²×C₁₃	—	4	4	no	—
435	C₂²×C₁₃	#576	1	2	yes	—
436	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
437	C₄×C₁₃	—	2	2	no	—
438	C₄×C₁₃	—	2	1	no	—
439	C₄×C₁₃	—	2	4	no	—
440	C₄×C₁₃	—	2	1	no	—
441	C₄×C₁₃	—	2	1	no	—
442	C₄×C₁₃	—	2	2	no	—
443	C₄×C₁₃	—	2	1	no	—
444	C₄×C₁₃	—	2	2	no	—
445	C₄×C₁₃	—	4	2	no	—
446	C₄×C₁₃	—	4	2	no	—
447	C₄×C₁₃	—	4	2	no	—
448	C₄×C₁₃	—	4	4	no	—
449	C₄×C₁₃	#578	1	2	yes	—
450	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
451	C₄×C₁₃	#585	1	1	yes	characteristic
452	C₂×#41	—	2	4	no	—
453	C₂×#41	—	2	2	no	—
454	C₂×#41	C₂³×C₁₃	1	4	yes	—
455	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
456	#135	—	2	8	no	—
457	C₂×Q₁₆	—	2	4	no	—
458	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
459	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
460	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
461	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
462	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
463	C₂×D₈	C₂³×C₁₃	1	2	yes	—
464	C₂×D₈	C₂³×C₁₃	1	2	yes	—
465	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
466	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
467	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
468	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
469	C₄⋊Q₈	—	2	2	no	—
470	C₄⋊Q₈	—	2	4	no	—
471	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
472	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
473	#127	—	2	2	no	—
474	#127	C₂³×C₁₃	1	2	yes	—
475	#126	—	2	4	no	—
476	#126	D₄×C₁₃	1	2	yes	—
477	#125	—	2	2	no	—
478	#125	D₄×C₁₃	1	1	yes	characteristic
479	#124	—	2	2	no	—
480	#124	—	2	4	no	—
481	#124	—	2	4	no	—
482	#124	—	2	2	no	—
483	#124	D₄×C₁₃	1	1	yes	characteristic
484	#124	C₂³×C₁₃	1	4	yes	—
485	#123	—	2	4	no	—
486	#123	—	2	4	no	—
487	#123	—	2	4	no	—
488	#123	—	2	4	no	—
489	#123	D₄×C₁₃	1	2	yes	—
490	C₂²⋊Q₈	—	2	4	no	—
491	C₂²⋊Q₈	—	2	4	no	—
492	C₂²⋊Q₈	—	2	4	no	—
493	C₂²⋊Q₈	—	2	4	no	—
494	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
495	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
496	#121	—	2	4	no	—
497	#121	—	2	2	no	—
498	#121	—	2	4	no	—
499	#121	D₄×C₁₃	1	1	yes	characteristic
500	#121	C₂³×C₁₃	1	4	yes	—
501	#121	C₂³×C₁₃	1	4	yes	—
502	C₄×Q₈	—	2	2	no	—
503	C₄×Q₈	—	2	2	no	—
504	C₄×Q₈	—	2	2	no	—
505	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
506	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
507	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
508	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
509	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
510	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
511	C₄×D₄	—	2	2	no	—
512	C₄×D₄	—	2	2	no	—
513	C₄×D₄	—	2	2	no	—
514	C₄×D₄	—	2	4	no	—
515	C₄×D₄	—	2	4	no	—
516	C₄×D₄	—	2	4	no	—
517	C₄×D₄	—	2	2	no	—
518	C₄×D₄	C₂³×C₁₃	1	4	yes	—
519	C₄×D₄	C₂³×C₁₃	1	4	yes	—
520	C₄×D₄	C₂³×C₁₃	1	2	yes	—
521	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
522	#117	—	2	4	no	—
523	#117	C₂³×C₁₃	1	2	yes	—
524	C₂×C₄⋊C₄	—	2	2	no	—
525	C₂×C₄⋊C₄	—	2	4	no	—
526	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
527	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
528	C₂×C₄²	—	2	2	no	—
529	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
530	#107	C₂³×C₁₃	1	1	yes	characteristic
531	#107	C₂³×C₁₃	1	2	yes	—
532	#107	C₂³×C₁₃	1	1	yes	characteristic
533	#107	C₂³×C₁₃	1	2	yes	—
534	#107	C₂³×C₁₃	1	4	yes	—
535	#107	C₂³×C₁₃	1	2	yes	—
536	#107	C₂³×C₁₃	1	4	yes	—
537	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
538	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
539	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
540	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
541	#103	C₂³×C₁₃	1	2	yes	—
542	#103	C₂³×C₁₃	1	2	yes	—
543	#103	C₂³×C₁₃	1	2	yes	—
544	#103	C₂³×C₁₃	1	2	yes	—
545	#103	C₂³×C₁₃	1	4	yes	—
546	#103	C₂³×C₁₃	1	4	yes	—
547	#102	C₂³×C₁₃	1	4	yes	—
548	#102	C₂³×C₁₃	1	4	yes	—
549	#102	C₂³×C₁₃	1	4	yes	—
550	#102	C₂³×C₁₃	1	4	yes	—
551	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
552	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
553	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
554	#97	C₂³×C₁₃	1	2	yes	—
555	#97	C₂³×C₁₃	1	2	yes	—
556	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
557	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
558	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
559	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
560	C₄×C₈	C₂³×C₁₃	1	2	yes	—
561	C₂×C₁₃	—	2	2	no	—
562	C₂×C₁₃	—	4	2	no	—
563	C₂×C₁₃	—	8	4	no	—
564	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
565	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
566	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
567	#41	—	2	8	no	—
568	#41	—	4	4	no	—
569	#41	—	8	4	no	—
570	#41	—	8	8	no	—
571	C₂×Q₈	—	2	2	no	—
572	C₂×Q₈	—	2	4	no	—
573	C₂×Q₈	—	2	2	no	—
574	C₂×Q₈	—	2	4	no	—
575	C₂×Q₈	—	4	2	no	—
576	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
577	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
578	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
579	C₂×D₄	—	2	4	no	—
580	C₂×D₄	—	2	4	no	—
581	C₂×D₄	—	2	4	no	—
582	C₂×D₄	—	2	2	no	—
583	C₂×D₄	—	2	2	no	—
584	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
585	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
586	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
587	C₂²×C₄	—	2	2	no	—
588	C₂²×C₄	—	2	2	no	—
589	C₂²×C₄	—	2	4	no	—
590	C₂²×C₄	—	2	4	no	—
591	C₂²×C₄	—	2	4	no	—
592	C₂²×C₄	—	2	4	no	—
593	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
594	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
595	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
596	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
597	Q₁₆	—	2	4	no	—
598	Q₁₆	—	2	2	no	—
599	Q₁₆	C₁₃×#41	1	4	yes	complemented
600	SD₁₆	—	2	8	no	—
601	SD₁₆	—	4	4	no	—
602	D₈	—	2	4	no	—
603	D₈	—	4	2	no	—
604	M₁₆	—	4	2	no	—
605	C₂×C₈	—	2	2	no	—
606	C₂×C₈	—	2	4	no	—
607	C₂×C₈	—	4	1	no	—
608	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
609	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
610	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
611	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
612	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
613	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
614	C₄⋊C₄	—	2	2	no	—
615	C₄⋊C₄	—	2	4	no	—
616	C₄⋊C₄	—	2	4	no	—
617	C₄⋊C₄	—	2	2	no	—
618	C₄⋊C₄	—	2	2	no	—
619	C₄⋊C₄	—	2	2	no	—
620	C₄⋊C₄	—	2	2	no	—
621	C₄⋊C₄	—	2	2	no	—
622	C₄⋊C₄	—	2	4	no	—
623	C₄⋊C₄	—	2	4	no	—
624	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
625	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
626	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
627	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
628	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
629	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
630	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
631	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
632	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
633	C₂²⋊C₄	—	2	4	no	—
634	C₂²⋊C₄	—	2	4	no	—
635	C₂²⋊C₄	—	2	4	no	—
636	C₂²⋊C₄	—	2	4	no	—
637	C₂²⋊C₄	—	2	4	no	—
638	C₂²⋊C₄	—	2	4	no	—
639	C₂²⋊C₄	—	2	4	no	—
640	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
641	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
642	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
643	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
644	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
645	C₄²	—	2	2	no	—
646	C₄²	—	2	2	no	—
647	C₄²	—	2	2	no	—
648	C₄²	—	2	2	no	—
649	C₄²	—	2	4	no	—
650	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
651	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
652	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
653	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
654	C₄²	C₂⁴×C₁₃	1	2	yes	—
655	C₁₃	#61485	1	1	yes	characteristic, direct product factor, Sylow
656	C₂³	—	2	4	no	—
657	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
658	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
659	Q₈	—	2	2	no	—
660	Q₈	—	2	2	no	—
661	Q₈	—	2	2	no	—
662	Q₈	—	2	2	no	—
663	Q₈	—	4	4	no	—
664	Q₈	—	8	2	no	—
665	Q₈	—	8	4	no	—
666	Q₈	C₂×C₁₃×#41	1	4	yes	—
667	D₄	—	2	4	no	—
668	D₄	—	2	2	no	—
669	D₄	—	2	4	no	—
670	D₄	—	2	4	no	—
671	D₄	—	4	8	no	—
672	D₄	—	4	8	no	—
673	D₄	—	4	4	no	—
674	D₄	—	8	2	no	—
675	D₄	—	8	4	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	2	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	2	2	no	—
681	C₂×C₄	—	2	1	no	—
682	C₂×C₄	—	2	2	no	—
683	C₂×C₄	—	2	2	no	—
684	C₂×C₄	—	2	2	no	—
685	C₂×C₄	—	2	2	no	—
686	C₂×C₄	—	2	4	no	—
687	C₂×C₄	—	4	8	no	—
688	C₂×C₄	—	4	4	no	—
689	C₂×C₄	—	4	4	no	—
690	C₂×C₄	—	8	4	no	—
691	C₂×C₄	—	8	4	no	—
692	C₂×C₄	—	8	4	no	—
693	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
694	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
695	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
696	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
697	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
698	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
699	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
700	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
701	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
702	C₈	—	2	2	no	—
703	C₈	—	2	1	no	—
704	C₈	—	2	1	no	—
705	C₈	—	2	1	no	—
706	C₈	—	2	2	no	—
707	C₈	C₂×C₁₃×#41	1	2	yes	—
708	C₂²	—	2	1	no	—
709	C₂²	—	2	1	no	—
710	C₂²	—	2	2	no	—
711	C₂²	—	2	2	no	—
712	C₂²	—	2	2	no	—
713	C₂²	—	4	4	no	—
714	C₂²	—	4	4	no	—
715	C₂²	—	4	4	no	—
716	C₂²	C₁₃×#576	1	2	yes	—
717	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
718	C₄	—	2	1	no	—
719	C₄	—	2	1	no	—
720	C₄	—	2	2	no	—
721	C₄	—	2	1	no	—
722	C₄	—	2	2	no	—
723	C₄	—	2	2	no	—
724	C₄	—	2	1	no	—
725	C₄	—	2	4	no	—
726	C₄	—	4	2	no	—
727	C₄	—	4	2	no	—
728	C₄	—	4	4	no	—
729	C₄	—	4	2	no	—
730	C₄	C₁₃×#578	1	2	yes	—
731	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
732	C₄	C₁₃×#585	1	1	yes	characteristic
733	C₂	—	2	2	no	—
734	C₂	—	4	2	no	—
735	C₂	—	8	4	no	—
736	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
737	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
738	C₂	C₂×C₁₃×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3522	C₂	semidirect
2. C₁₃×#3396	C₂	semidirect
3. Q₈×C₁₃×Q₁₆	C₂	semidirect
4. C₁₃×#3375	C₂	semidirect
5. C₁₃×#3338	C₂	semidirect
6. C₁₃×#3334	C₂	semidirect
7. C₁₃×#3333	C₂	semidirect
8. C₁₃×#3308	C₂	semidirect
9. C₁₃×#3287	C₂	semidirect
10. C₁₃×#3285	C₂	semidirect
11. C₁₃×#3175	C₂	semidirect
12. C₁₃×#3169	C₂	semidirect
13. C₁₃×#3124	C₂	semidirect
14. C₁₃×#3112	C₂	semidirect
15. C₁₃×#2966	C₂	semidirect
16. C₁₃×#2951	C₂	semidirect
17. C₂×C₄×C₁₃×Q₁₆	C₂	semidirect
198. #61485	C₁₃	direct (N × H)
231. C₁₃×Q₁₆	#41	semidirect
287. #3522	C₂×C₁₃	semidirect
288. #3396	C₂×C₁₃	semidirect
289. Q₈×Q₁₆	C₂×C₁₃	semidirect
290. #3375	C₂×C₁₃	semidirect
291. #3338	C₂×C₁₃	semidirect
292. #3334	C₂×C₁₃	semidirect
293. #3333	C₂×C₁₃	semidirect
294. #3308	C₂×C₁₃	semidirect
295. #3287	C₂×C₁₃	semidirect
296. #3285	C₂×C₁₃	semidirect
297. #3175	C₂×C₁₃	semidirect
298. #3169	C₂×C₁₃	semidirect
299. #3124	C₂×C₁₃	semidirect
300. #3112	C₂×C₁₃	semidirect
301. #2966	C₂×C₁₃	semidirect
302. #2951	C₂×C₁₃	semidirect
303. C₂×C₄×Q₁₆	C₂×C₁₃	semidirect
599. Q₁₆	C₁₃×#41	semidirect
655. C₁₃	#61485	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3522	2
C₁₃×#3396	2
Q₈×C₁₃×Q₁₆	2
C₁₃×#3375	2
C₁₃×#3338	2
C₁₃×#3334	2
C₁₃×#3333	2
C₁₃×#3308	2
C₁₃×#3287	2
C₁₃×#3285	2
C₁₃×#3175	2
C₁₃×#3169	2
C₁₃×#3124	2
C₁₃×#3112	2
C₁₃×#2966	2
C₁₃×#2951	2
C₂×C₄×C₁₃×Q₁₆	2
#61485	13

Subgroups — C13×#61485 #15747824

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61485 #15747824