Subgroups — C₁₃×#60698 #15747037

Order 3328.

1970 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3460	C₂	1	2	yes	maximal, complemented
2	C₁₃×#3184	C₂	1	2	yes	maximal, complemented
3	C₁₃×#3183	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3180	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3179	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3176	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3173	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3163	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3155	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3136	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3062	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3060	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3058	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2943	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×#442	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2875	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
19	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
20	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
23	C₁₃×#544	C₂²	1	2	yes	—
24	C₁₃×#542	—	2	2	no	—
25	C₁₃×#542	C₂²	1	4	yes	complemented
26	C₁₃×#540	—	2	2	no	—
27	C₁₃×#540	C₂²	1	4	yes	complemented
28	C₁₃×#538	—	2	4	no	—
29	C₁₃×#537	C₂²	1	2	yes	—
30	C₁₃×#535	C₂²	1	2	yes	—
31	C₁₃×#535	C₂²	1	2	yes	—
32	C₁₃×#532	—	2	2	no	—
33	C₁₃×#532	C₂²	1	4	yes	complemented
34	C₁₃×#529	—	2	2	no	—
35	C₁₃×#529	C₂²	1	4	yes	complemented
36	C₁₃×#525	—	2	4	no	—
37	C₄×C₁₃×#41	C₂²	1	2	yes	—
38	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
40	C₁₃×#501	C₂²	1	4	yes	complemented
41	C₁₃×#499	C₂²	1	2	yes	complemented
42	C₁₃×#498	C₂²	1	2	yes	complemented
43	C₁₃×#496	C₂²	1	4	yes	—
44	C₁₃×#495	C₂²	1	2	yes	—
45	C₁₃×#493	C₂²	1	2	yes	—
46	C₁₃×#490	C₂²	1	4	yes	complemented
47	C₁₃×#489	C₂²	1	4	yes	complemented
48	C₁₃×#488	C₂²	1	4	yes	complemented
49	C₁₃×#486	C₂²	1	4	yes	complemented
50	C₁₃×#470	C₂²	1	2	yes	complemented
51	C₁₃×#469	C₂²	1	2	yes	—
52	C₁₃×#469	C₂²	1	2	yes	—
53	C₁₃×#469	C₂²	1	2	yes	complemented
54	C₁₃×#469	C₂²	1	4	yes	complemented
55	C₁₃×#468	C₂²	1	4	yes	complemented
56	C₁₃×#466	C₂²	1	4	yes	—
57	C₁₃×#466	C₂²	1	4	yes	complemented
58	C₁₃×#465	C₂²	1	4	yes	complemented
59	C₁₃×#465	C₂²	1	4	yes	complemented
60	C₁₃×#442	C₂²	1	2	yes	—
61	C₁₃×#442	C₂²	1	2	yes	—
62	C₁₃×#442	C₂²	1	2	yes	—
63	C₁₃×#442	C₂²	1	2	yes	—
64	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#442	C₂²	1	4	yes	complemented
66	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#440	C₂²	1	2	yes	complemented
70	C₁₃×#440	C₂²	1	2	yes	complemented
71	C₁₃×#440	C₂²	1	4	yes	complemented
72	C₄×C₁₃×SD₁₆	C₂²	1	4	yes	complemented
73	C₄×C₁₃×D₈	C₂²	1	4	yes	complemented
74	C₁₃×#428	C₂²	1	2	yes	—
75	C₁₃×#427	C₂²	1	1	yes	characteristic
76	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
77	C₁₃×#418	C₂²	1	2	yes	—
78	C₁₃×#417	C₂²	1	2	yes	—
79	C₁₃×#416	C₂²	1	2	yes	—
80	C₂×C₁₃×#102	C₂²	1	2	yes	—
81	C₁₃×#405	C₂²	1	1	yes	characteristic
82	C₁₃×#405	C₂²	1	1	yes	characteristic
83	C₁₃×#405	C₂²	1	2	yes	complemented
84	C₁₃×#405	C₂²	1	2	yes	complemented
85	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
86	C₄×C₁₃×M₁₆	C₂²	1	2	yes	complemented
87	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
88	C₂×C₁₃×#97	C₂²	1	2	yes	complemented
89	C₂×C₁₃×#41	—	2	4	no	—
90	C₂×C₁₃×#41	C₂³	1	2	yes	—
91	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
92	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
93	C₂³×C₄×C₁₃	—	2	2	no	—
94	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
95	C₁₃×#135	—	2	4	no	—
96	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
97	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
98	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
99	C₂×C₁₃×D₈	—	2	4	no	—
100	C₂×C₁₃×D₈	C₂³	1	4	yes	—
101	C₂×C₁₃×D₈	C₂³	1	2	yes	—
102	C₂×C₁₃×D₈	C₂³	1	2	yes	—
103	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
104	C₁₃×#131	—	2	4	no	—
105	C₁₃×#131	—	2	4	no	—
106	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
107	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
108	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
109	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
110	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
111	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
112	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
113	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
114	C₁₃×C₄⋊Q₈	—	2	2	no	—
115	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
116	C₁₃×#127	—	2	2	no	—
117	C₁₃×#127	C₂³	1	4	yes	—
118	C₁₃×#126	—	2	4	no	—
119	C₁₃×#126	—	2	4	no	—
120	C₁₃×#125	—	2	2	no	—
121	C₁₃×#125	C₂³	1	4	yes	—
122	C₁₃×#124	—	2	2	no	—
123	C₁₃×#124	—	2	4	no	—
124	C₁₃×#124	—	2	4	no	—
125	C₁₃×#124	C₂³	1	4	yes	—
126	C₁₃×#123	—	2	4	no	—
127	C₁₃×#123	—	2	4	no	—
128	C₁₃×#123	—	2	4	no	—
129	C₁₃×#123	—	2	4	no	—
130	C₁₃×C₂²⋊Q₈	—	2	2	no	—
131	C₁₃×C₂²⋊Q₈	—	2	4	no	—
132	C₁₃×C₂²⋊Q₈	—	2	4	no	—
133	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
134	C₁₃×#121	—	2	4	no	—
135	C₁₃×#121	—	2	2	no	—
136	C₁₃×#121	—	2	4	no	—
137	C₁₃×#121	—	2	2	no	—
138	C₁₃×#121	—	2	2	no	—
139	C₁₃×#121	—	2	4	no	—
140	C₁₃×#121	—	2	4	no	—
141	C₁₃×#121	C₂³	1	4	yes	—
142	C₁₃×#121	C₂³	1	4	yes	—
143	C₁₃×#121	C₂³	1	4	yes	—
144	C₁₃×#120	—	2	4	no	—
145	C₁₃×#120	—	2	4	no	—
146	C₄×Q₈×C₁₃	D₄	1	2	yes	—
147	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
148	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
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	2	no	—
153	C₄×D₄×C₁₃	—	2	2	no	—
154	C₄×D₄×C₁₃	—	2	4	no	—
155	C₄×D₄×C₁₃	D₄	1	4	yes	—
156	C₄×D₄×C₁₃	D₄	1	2	yes	—
157	C₄×D₄×C₁₃	C₂³	1	2	yes	—
158	C₄×D₄×C₁₃	C₂³	1	4	yes	—
159	C₄×D₄×C₁₃	C₂³	1	4	yes	—
160	C₄×D₄×C₁₃	C₂³	1	2	yes	—
161	C₁₃×#117	—	2	2	no	—
162	C₁₃×#117	—	2	4	no	—
163	C₁₃×#117	C₂³	1	2	yes	—
164	C₁₃×#117	C₂³	1	1	yes	characteristic
165	C₁₃×#117	C₂³	1	2	yes	—
166	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
168	C₂×C₄²×C₁₃	—	2	2	no	—
169	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
170	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
171	C₁₃×#107	C₂³	1	2	yes	—
172	C₁₃×#107	C₂³	1	4	yes	—
173	C₁₃×#106	C₂³	1	2	yes	—
174	C₁₃×#106	C₂³	1	2	yes	—
175	C₁₃×#106	C₂³	1	1	yes	characteristic
176	C₁₃×#106	C₂³	1	1	yes	characteristic
177	C₁₃×#106	C₂³	1	4	yes	—
178	C₁₃×#103	C₂³	1	2	yes	—
179	C₁₃×#103	C₂³	1	2	yes	—
180	C₁₃×#103	C₂³	1	4	yes	—
181	C₁₃×#102	C₂³	1	4	yes	—
182	C₁₃×#102	C₂³	1	4	yes	—
183	C₁₃×#102	C₂³	1	2	yes	—
184	C₁₃×#102	C₂³	1	2	yes	—
185	C₁₃×#102	C₂³	1	4	yes	—
186	C₁₃×#102	C₂³	1	4	yes	—
187	C₁₃×#102	C₂³	1	4	yes	—
188	C₁₃×#97	C₂³	1	1	yes	characteristic
189	C₁₃×#97	C₂³	1	1	yes	characteristic
190	C₁₃×#97	C₂³	1	1	yes	characteristic
191	C₁₃×#97	C₂³	1	1	yes	characteristic
192	C₁₃×#97	C₂³	1	2	yes	—
193	C₁₃×#97	C₂³	1	2	yes	—
194	C₁₃×#97	C₂³	1	2	yes	—
195	C₄×C₈×C₁₃	C₂³	1	2	yes	—
196	C₄×C₈×C₁₃	C₂³	1	2	yes	—
197	C₄×C₈×C₁₃	C₂³	1	2	yes	—
198	#60698	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
199	C₂⁴×C₁₃	—	2	2	no	—
200	C₁₃×#41	—	2	2	no	—
201	C₁₃×#41	—	2	2	no	—
202	C₁₃×#41	—	2	4	no	—
203	C₁₃×#41	—	2	4	no	—
204	C₁₃×#41	—	8	8	no	—
205	C₂×Q₈×C₁₃	—	2	4	no	—
206	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
207	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
208	C₂×D₄×C₁₃	—	2	2	no	—
209	C₂×D₄×C₁₃	—	2	4	no	—
210	C₂×D₄×C₁₃	—	2	4	no	—
211	C₂×D₄×C₁₃	—	2	4	no	—
212	C₂×D₄×C₁₃	—	2	2	no	—
213	C₂×D₄×C₁₃	—	2	4	no	—
214	C₂×D₄×C₁₃	—	2	4	no	—
215	C₂×D₄×C₁₃	—	2	4	no	—
216	C₂×D₄×C₁₃	—	2	4	no	—
217	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
218	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
219	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
220	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
221	C₂²×C₄×C₁₃	—	2	2	no	—
222	C₂²×C₄×C₁₃	—	2	2	no	—
223	C₂²×C₄×C₁₃	—	2	2	no	—
224	C₂²×C₄×C₁₃	—	2	4	no	—
225	C₂²×C₄×C₁₃	—	2	2	no	—
226	C₂²×C₄×C₁₃	—	2	4	no	—
227	C₂²×C₄×C₁₃	—	8	4	no	—
228	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
229	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
230	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
231	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
232	C₁₃×Q₁₆	—	2	2	no	—
233	C₁₃×SD₁₆	—	2	4	no	—
234	C₁₃×SD₁₆	—	2	8	no	—
235	C₁₃×D₈	—	2	4	no	—
236	C₁₃×D₈	—	2	4	no	—
237	C₁₃×D₈	—	2	2	no	—
238	C₁₃×D₈	—	2	8	no	—
239	C₁₃×M₁₆	—	2	2	no	—
240	C₁₃×M₁₆	—	2	4	no	—
241	C₁₃×M₁₆	—	2	4	no	—
242	C₁₃×M₁₆	#41	1	4	yes	complemented
243	C₂×C₈×C₁₃	—	2	2	no	—
244	C₂×C₈×C₁₃	—	2	4	no	—
245	C₂×C₈×C₁₃	—	2	4	no	—
246	C₂×C₈×C₁₃	#41	1	4	yes	complemented
247	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
248	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
249	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
250	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
251	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
252	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
253	C₁₃×C₄⋊C₄	—	2	2	no	—
254	C₁₃×C₄⋊C₄	—	2	2	no	—
255	C₁₃×C₄⋊C₄	—	2	2	no	—
256	C₁₃×C₄⋊C₄	—	2	4	no	—
257	C₁₃×C₄⋊C₄	—	2	4	no	—
258	C₁₃×C₄⋊C₄	—	2	4	no	—
259	C₁₃×C₄⋊C₄	—	2	4	no	—
260	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
261	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
262	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
263	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
264	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
265	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
270	C₁₃×C₂²⋊C₄	—	2	2	no	—
271	C₁₃×C₂²⋊C₄	—	2	4	no	—
272	C₁₃×C₂²⋊C₄	—	2	4	no	—
273	C₁₃×C₂²⋊C₄	—	2	4	no	—
274	C₁₃×C₂²⋊C₄	—	2	4	no	—
275	C₁₃×C₂²⋊C₄	—	2	4	no	—
276	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
277	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
278	C₄²×C₁₃	—	2	2	no	—
279	C₄²×C₁₃	—	2	2	no	—
280	C₄²×C₁₃	—	2	2	no	—
281	C₄²×C₁₃	C₂×D₄	1	2	yes	—
282	C₄²×C₁₃	C₂×D₄	1	4	yes	—
283	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
284	C₄²×C₁₃	C₂⁴	1	2	yes	—
285	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
286	#3460	C₂×C₁₃	1	2	yes	complemented
287	#3184	C₂×C₁₃	1	2	yes	complemented
288	#3183	C₂×C₁₃	1	2	yes	complemented
289	#3180	C₂×C₁₃	1	4	yes	complemented
290	#3179	C₂×C₁₃	1	4	yes	complemented
291	#3176	C₂×C₁₃	1	2	yes	complemented
292	#3173	C₂×C₁₃	1	2	yes	complemented
293	#3163	C₂×C₁₃	1	1	yes	characteristic, complemented
294	#3155	C₂×C₁₃	1	1	yes	characteristic, complemented
295	#3136	C₂×C₁₃	1	2	yes	complemented
296	#3062	C₂×C₁₃	1	2	yes	complemented
297	#3060	C₂×C₁₃	1	1	yes	characteristic, complemented
298	#3058	C₂×C₁₃	1	1	yes	characteristic, complemented
299	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	2	yes	complemented
300	#2943	C₂×C₁₃	1	1	yes	characteristic, complemented
301	C₂×#442	C₂×C₁₃	1	1	yes	characteristic, complemented
302	#2875	C₂×C₁₃	1	1	yes	characteristic, complemented
303	C₂³×C₁₃	—	2	4	no	—
304	C₂³×C₁₃	—	2	2	no	—
305	C₂³×C₁₃	—	4	4	no	—
306	C₂³×C₁₃	—	8	2	no	—
307	C₂³×C₁₃	—	8	2	no	—
308	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
309	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
310	Q₈×C₁₃	—	2	2	no	—
311	Q₈×C₁₃	—	2	2	no	—
312	Q₈×C₁₃	—	2	2	no	—
313	Q₈×C₁₃	—	8	4	no	—
314	D₄×C₁₃	—	2	4	no	—
315	D₄×C₁₃	—	2	2	no	—
316	D₄×C₁₃	—	2	4	no	—
317	D₄×C₁₃	—	2	2	no	—
318	D₄×C₁₃	—	2	4	no	—
319	D₄×C₁₃	—	2	2	no	—
320	D₄×C₁₃	—	4	4	no	—
321	D₄×C₁₃	—	4	4	no	—
322	D₄×C₁₃	—	8	4	no	—
323	D₄×C₁₃	—	8	4	no	—
324	D₄×C₁₃	—	8	4	no	—
325	D₄×C₁₃	—	8	4	no	—
326	D₄×C₁₃	—	8	4	no	—
327	C₂×C₄×C₁₃	—	2	2	no	—
328	C₂×C₄×C₁₃	—	2	2	no	—
329	C₂×C₄×C₁₃	—	2	2	no	—
330	C₂×C₄×C₁₃	—	2	2	no	—
331	C₂×C₄×C₁₃	—	2	2	no	—
332	C₂×C₄×C₁₃	—	2	4	no	—
333	C₂×C₄×C₁₃	—	4	2	no	—
334	C₂×C₄×C₁₃	—	4	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	2	no	—
339	C₂×C₄×C₁₃	—	8	4	no	—
340	C₂×C₄×C₁₃	—	8	2	no	—
341	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
342	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
343	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
344	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
345	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
346	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
347	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
348	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
349	C₈×C₁₃	—	2	1	no	—
350	C₈×C₁₃	—	2	1	no	—
351	C₈×C₁₃	—	2	2	no	—
352	C₈×C₁₃	C₂×#41	1	2	yes	—
353	C₈×C₁₃	C₂×#41	1	4	yes	—
354	C₈×C₁₃	C₂×#41	1	2	yes	—
355	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
356	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
357	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
358	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
359	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
360	#544	C₂²×C₁₃	1	2	yes	—
361	#542	—	2	2	no	—
362	#542	C₂²×C₁₃	1	4	yes	complemented
363	#540	—	2	2	no	—
364	#540	C₂²×C₁₃	1	4	yes	complemented
365	#538	—	2	4	no	—
366	#537	C₂²×C₁₃	1	2	yes	—
367	#535	C₂²×C₁₃	1	2	yes	—
368	#535	C₂²×C₁₃	1	2	yes	—
369	#532	—	2	2	no	—
370	#532	C₂²×C₁₃	1	4	yes	complemented
371	#529	—	2	2	no	—
372	#529	C₂²×C₁₃	1	4	yes	complemented
373	#525	—	2	4	no	—
374	C₄×#41	C₂²×C₁₃	1	2	yes	—
375	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
376	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
377	#501	C₂²×C₁₃	1	4	yes	complemented
378	#499	C₂²×C₁₃	1	2	yes	complemented
379	#498	C₂²×C₁₃	1	2	yes	complemented
380	#496	C₂²×C₁₃	1	4	yes	—
381	#495	C₂²×C₁₃	1	2	yes	—
382	#493	C₂²×C₁₃	1	2	yes	—
383	#490	C₂²×C₁₃	1	4	yes	complemented
384	#489	C₂²×C₁₃	1	4	yes	complemented
385	#488	C₂²×C₁₃	1	4	yes	complemented
386	#486	C₂²×C₁₃	1	4	yes	complemented
387	#470	C₂²×C₁₃	1	2	yes	complemented
388	#469	C₂²×C₁₃	1	2	yes	—
389	#469	C₂²×C₁₃	1	2	yes	—
390	#469	C₂²×C₁₃	1	2	yes	complemented
391	#469	C₂²×C₁₃	1	4	yes	complemented
392	#468	C₂²×C₁₃	1	4	yes	complemented
393	#466	C₂²×C₁₃	1	4	yes	—
394	#466	C₂²×C₁₃	1	4	yes	complemented
395	#465	C₂²×C₁₃	1	4	yes	complemented
396	#465	C₂²×C₁₃	1	4	yes	complemented
397	#442	C₂²×C₁₃	1	2	yes	—
398	#442	C₂²×C₁₃	1	2	yes	—
399	#442	C₂²×C₁₃	1	2	yes	—
400	#442	C₂²×C₁₃	1	2	yes	—
401	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
402	#442	C₂²×C₁₃	1	4	yes	complemented
403	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
404	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
405	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
406	#440	C₂²×C₁₃	1	2	yes	complemented
407	#440	C₂²×C₁₃	1	2	yes	complemented
408	#440	C₂²×C₁₃	1	4	yes	complemented
409	C₄×SD₁₆	C₂²×C₁₃	1	4	yes	complemented
410	C₄×D₈	C₂²×C₁₃	1	4	yes	complemented
411	#428	C₂²×C₁₃	1	2	yes	—
412	#427	C₂²×C₁₃	1	1	yes	characteristic
413	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
414	#418	C₂²×C₁₃	1	2	yes	—
415	#417	C₂²×C₁₃	1	2	yes	—
416	#416	C₂²×C₁₃	1	2	yes	—
417	C₂×#102	C₂²×C₁₃	1	2	yes	—
418	#405	C₂²×C₁₃	1	1	yes	characteristic
419	#405	C₂²×C₁₃	1	1	yes	characteristic
420	#405	C₂²×C₁₃	1	2	yes	complemented
421	#405	C₂²×C₁₃	1	2	yes	complemented
422	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
423	C₄×M₁₆	C₂²×C₁₃	1	2	yes	complemented
424	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
425	C₂×#97	C₂²×C₁₃	1	2	yes	complemented
426	C₂²×C₁₃	—	2	2	no	—
427	C₂²×C₁₃	—	2	4	no	—
428	C₂²×C₁₃	—	2	2	no	—
429	C₂²×C₁₃	—	4	4	no	—
430	C₂²×C₁₃	—	4	2	no	—
431	C₂²×C₁₃	—	4	2	no	—
432	C₂²×C₁₃	—	4	4	no	—
433	C₂²×C₁₃	—	4	2	no	—
434	C₂²×C₁₃	—	4	4	no	—
435	C₂²×C₁₃	—	8	8	no	—
436	C₂²×C₁₃	#532	1	2	yes	—
437	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
438	C₄×C₁₃	—	2	2	no	—
439	C₄×C₁₃	—	2	2	no	—
440	C₄×C₁₃	—	2	4	no	—
441	C₄×C₁₃	—	2	2	no	—
442	C₄×C₁₃	—	4	4	no	—
443	C₄×C₁₃	—	4	2	no	—
444	C₄×C₁₃	—	4	2	no	—
445	C₄×C₁₃	—	4	2	no	—
446	C₄×C₁₃	#532	1	2	yes	—
447	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
448	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
449	C₂×#41	—	2	4	no	—
450	C₂×#41	C₂³×C₁₃	1	2	yes	—
451	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
452	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
453	C₂³×C₄	—	2	2	no	—
454	AGL(1,ℤ/8)	—	2	8	no	—
455	#135	—	2	4	no	—
456	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
457	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
458	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
459	C₂×D₈	—	2	4	no	—
460	C₂×D₈	C₂³×C₁₃	1	2	yes	—
461	C₂×D₈	C₂³×C₁₃	1	2	yes	—
462	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
463	C₂×D₈	C₂³×C₁₃	1	4	yes	—
464	#131	—	2	4	no	—
465	#131	—	2	4	no	—
466	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
467	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
468	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
469	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
470	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
471	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
472	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
473	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
474	C₄⋊Q₈	—	2	2	no	—
475	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
476	#127	—	2	2	no	—
477	#127	C₂³×C₁₃	1	4	yes	—
478	#126	—	2	4	no	—
479	#126	—	2	4	no	—
480	#125	—	2	2	no	—
481	#125	C₂³×C₁₃	1	4	yes	—
482	#124	—	2	2	no	—
483	#124	—	2	4	no	—
484	#124	—	2	4	no	—
485	#124	C₂³×C₁₃	1	4	yes	—
486	#123	—	2	4	no	—
487	#123	—	2	4	no	—
488	#123	—	2	4	no	—
489	#123	—	2	4	no	—
490	C₂²⋊Q₈	—	2	2	no	—
491	C₂²⋊Q₈	—	2	4	no	—
492	C₂²⋊Q₈	—	2	4	no	—
493	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
494	#121	—	2	4	no	—
495	#121	—	2	2	no	—
496	#121	—	2	4	no	—
497	#121	—	2	2	no	—
498	#121	—	2	2	no	—
499	#121	—	2	4	no	—
500	#121	—	2	4	no	—
501	#121	C₂³×C₁₃	1	4	yes	—
502	#121	C₂³×C₁₃	1	4	yes	—
503	#121	C₂³×C₁₃	1	4	yes	—
504	#120	—	2	4	no	—
505	#120	—	2	4	no	—
506	C₄×Q₈	D₄×C₁₃	1	2	yes	—
507	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
508	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
509	C₄×D₄	—	2	2	no	—
510	C₄×D₄	—	2	2	no	—
511	C₄×D₄	—	2	4	no	—
512	C₄×D₄	—	2	2	no	—
513	C₄×D₄	—	2	2	no	—
514	C₄×D₄	—	2	4	no	—
515	C₄×D₄	D₄×C₁₃	1	4	yes	—
516	C₄×D₄	D₄×C₁₃	1	2	yes	—
517	C₄×D₄	C₂³×C₁₃	1	4	yes	—
518	C₄×D₄	C₂³×C₁₃	1	4	yes	—
519	C₄×D₄	C₂³×C₁₃	1	2	yes	—
520	C₄×D₄	C₂³×C₁₃	1	2	yes	—
521	#117	—	2	2	no	—
522	#117	—	2	4	no	—
523	#117	C₂³×C₁₃	1	2	yes	—
524	#117	C₂³×C₁₃	1	1	yes	characteristic
525	#117	C₂³×C₁₃	1	2	yes	—
526	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
527	C₂×C₂²⋊C₄	—	2	2	no	—
528	C₂×C₄²	—	2	2	no	—
529	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
530	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
531	#107	C₂³×C₁₃	1	2	yes	—
532	#107	C₂³×C₁₃	1	4	yes	—
533	#106	C₂³×C₁₃	1	2	yes	—
534	#106	C₂³×C₁₃	1	2	yes	—
535	#106	C₂³×C₁₃	1	1	yes	characteristic
536	#106	C₂³×C₁₃	1	1	yes	characteristic
537	#106	C₂³×C₁₃	1	4	yes	—
538	#103	C₂³×C₁₃	1	2	yes	—
539	#103	C₂³×C₁₃	1	2	yes	—
540	#103	C₂³×C₁₃	1	4	yes	—
541	#102	C₂³×C₁₃	1	4	yes	—
542	#102	C₂³×C₁₃	1	4	yes	—
543	#102	C₂³×C₁₃	1	2	yes	—
544	#102	C₂³×C₁₃	1	2	yes	—
545	#102	C₂³×C₁₃	1	4	yes	—
546	#102	C₂³×C₁₃	1	4	yes	—
547	#102	C₂³×C₁₃	1	4	yes	—
548	#97	C₂³×C₁₃	1	1	yes	characteristic
549	#97	C₂³×C₁₃	1	1	yes	characteristic
550	#97	C₂³×C₁₃	1	1	yes	characteristic
551	#97	C₂³×C₁₃	1	1	yes	characteristic
552	#97	C₂³×C₁₃	1	2	yes	—
553	#97	C₂³×C₁₃	1	2	yes	—
554	#97	C₂³×C₁₃	1	2	yes	—
555	C₄×C₈	C₂³×C₁₃	1	2	yes	—
556	C₄×C₈	C₂³×C₁₃	1	2	yes	—
557	C₄×C₈	C₂³×C₁₃	1	2	yes	—
558	C₂×C₁₃	—	2	2	no	—
559	C₂×C₁₃	—	4	2	no	—
560	C₂×C₁₃	—	8	2	no	—
561	C₂×C₁₃	—	8	4	no	—
562	C₂×C₁₃	C₂×#532	1	1	yes	characteristic
563	C₂×C₁₃	#3585	1	2	yes	—
564	C₂⁴	—	2	2	no	—
565	#41	—	2	2	no	—
566	#41	—	2	2	no	—
567	#41	—	2	4	no	—
568	#41	—	2	4	no	—
569	#41	—	8	8	no	—
570	C₂×Q₈	—	2	4	no	—
571	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
572	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
573	C₂×D₄	—	2	2	no	—
574	C₂×D₄	—	2	4	no	—
575	C₂×D₄	—	2	4	no	—
576	C₂×D₄	—	2	4	no	—
577	C₂×D₄	—	2	2	no	—
578	C₂×D₄	—	2	4	no	—
579	C₂×D₄	—	2	4	no	—
580	C₂×D₄	—	2	4	no	—
581	C₂×D₄	—	2	4	no	—
582	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
583	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
584	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
585	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
586	C₂²×C₄	—	2	2	no	—
587	C₂²×C₄	—	2	2	no	—
588	C₂²×C₄	—	2	2	no	—
589	C₂²×C₄	—	2	4	no	—
590	C₂²×C₄	—	2	2	no	—
591	C₂²×C₄	—	2	4	no	—
592	C₂²×C₄	—	8	4	no	—
593	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
594	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
595	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
596	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
597	Q₁₆	—	2	2	no	—
598	SD₁₆	—	2	4	no	—
599	SD₁₆	—	2	8	no	—
600	D₈	—	2	4	no	—
601	D₈	—	2	4	no	—
602	D₈	—	2	2	no	—
603	D₈	—	2	8	no	—
604	M₁₆	—	2	2	no	—
605	M₁₆	—	2	4	no	—
606	M₁₆	—	2	4	no	—
607	M₁₆	C₁₃×#41	1	4	yes	complemented
608	C₂×C₈	—	2	2	no	—
609	C₂×C₈	—	2	4	no	—
610	C₂×C₈	—	2	4	no	—
611	C₂×C₈	C₁₃×#41	1	4	yes	complemented
612	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
613	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
614	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
615	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
616	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
617	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
618	C₄⋊C₄	—	2	2	no	—
619	C₄⋊C₄	—	2	2	no	—
620	C₄⋊C₄	—	2	2	no	—
621	C₄⋊C₄	—	2	4	no	—
622	C₄⋊C₄	—	2	4	no	—
623	C₄⋊C₄	—	2	4	no	—
624	C₄⋊C₄	—	2	4	no	—
625	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
626	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
627	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
628	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
629	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
630	C₂²⋊C₄	—	2	2	no	—
631	C₂²⋊C₄	—	2	4	no	—
632	C₂²⋊C₄	—	2	4	no	—
633	C₂²⋊C₄	—	2	4	no	—
634	C₂²⋊C₄	—	2	2	no	—
635	C₂²⋊C₄	—	2	2	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	—	2	4	no	—
641	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
642	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
643	C₄²	—	2	2	no	—
644	C₄²	—	2	2	no	—
645	C₄²	—	2	2	no	—
646	C₄²	C₂×D₄×C₁₃	1	2	yes	—
647	C₄²	C₂×D₄×C₁₃	1	4	yes	—
648	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
649	C₄²	C₂⁴×C₁₃	1	2	yes	—
650	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
651	C₁₃	#60698	1	1	yes	characteristic, direct product factor, Sylow
652	C₂³	—	2	4	no	—
653	C₂³	—	2	2	no	—
654	C₂³	—	4	4	no	—
655	C₂³	—	8	2	no	—
656	C₂³	—	8	2	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	—	8	4	no	—
663	D₄	—	2	4	no	—
664	D₄	—	2	2	no	—
665	D₄	—	2	4	no	—
666	D₄	—	2	2	no	—
667	D₄	—	2	4	no	—
668	D₄	—	2	2	no	—
669	D₄	—	4	4	no	—
670	D₄	—	4	4	no	—
671	D₄	—	8	4	no	—
672	D₄	—	8	4	no	—
673	D₄	—	8	4	no	—
674	D₄	—	8	4	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	2	no	—
680	C₂×C₄	—	2	2	no	—
681	C₂×C₄	—	2	4	no	—
682	C₂×C₄	—	4	2	no	—
683	C₂×C₄	—	4	4	no	—
684	C₂×C₄	—	4	8	no	—
685	C₂×C₄	—	4	4	no	—
686	C₂×C₄	—	4	4	no	—
687	C₂×C₄	—	8	4	no	—
688	C₂×C₄	—	8	2	no	—
689	C₂×C₄	—	8	2	no	—
690	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
691	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
692	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
693	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
694	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
695	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
696	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
697	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
698	C₈	—	2	1	no	—
699	C₈	—	2	1	no	—
700	C₈	—	2	2	no	—
701	C₈	C₂×C₁₃×#41	1	2	yes	—
702	C₈	C₂×C₁₃×#41	1	4	yes	—
703	C₈	C₂×C₁₃×#41	1	2	yes	—
704	C₂²	—	2	2	no	—
705	C₂²	—	2	4	no	—
706	C₂²	—	2	2	no	—
707	C₂²	—	4	4	no	—
708	C₂²	—	4	2	no	—
709	C₂²	—	4	2	no	—
710	C₂²	—	4	4	no	—
711	C₂²	—	4	2	no	—
712	C₂²	—	4	4	no	—
713	C₂²	—	8	8	no	—
714	C₂²	C₁₃×#532	1	2	yes	—
715	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
716	C₄	—	2	2	no	—
717	C₄	—	2	2	no	—
718	C₄	—	2	4	no	—
719	C₄	—	2	2	no	—
720	C₄	—	4	4	no	—
721	C₄	—	4	2	no	—
722	C₄	—	4	2	no	—
723	C₄	—	4	2	no	—
724	C₄	C₁₃×#532	1	2	yes	—
725	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
726	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
727	C₂	—	2	2	no	—
728	C₂	—	4	2	no	—
729	C₂	—	8	4	no	—
730	C₂	—	8	2	no	—
731	C₂	C₂×C₁₃×#532	1	1	yes	characteristic
732	C₂	C₁₃×#3585	1	2	yes	—

	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 ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3460	C₂	semidirect
2. C₁₃×#3184	C₂	semidirect
3. C₁₃×#3183	C₂	semidirect
4. C₁₃×#3180	C₂	semidirect
5. C₁₃×#3179	C₂	semidirect
6. C₁₃×#3176	C₂	semidirect
7. C₁₃×#3173	C₂	semidirect
8. C₁₃×#3163	C₂	semidirect
9. C₁₃×#3155	C₂	semidirect
10. C₁₃×#3136	C₂	semidirect
11. C₁₃×#3062	C₂	semidirect
12. C₁₃×#3060	C₂	semidirect
13. C₁₃×#3058	C₂	semidirect
14. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
15. C₁₃×#2943	C₂	semidirect
16. C₂×C₁₃×#442	C₂	semidirect
17. C₁₃×#2875	C₂	semidirect
25. C₁₃×#542	C₂²	semidirect
27. C₁₃×#540	C₂²	semidirect
33. C₁₃×#532	C₂²	semidirect
35. C₁₃×#529	C₂²	semidirect
40. C₁₃×#501	C₂²	semidirect
41. C₁₃×#499	C₂²	semidirect
42. C₁₃×#498	C₂²	semidirect
46. C₁₃×#490	C₂²	semidirect
47. C₁₃×#489	C₂²	semidirect
48. C₁₃×#488	C₂²	semidirect
49. C₁₃×#486	C₂²	semidirect
50. C₁₃×#470	C₂²	semidirect
53. C₁₃×#469	C₂²	semidirect
54. C₁₃×#469	C₂²	semidirect
55. C₁₃×#468	C₂²	semidirect
57. C₁₃×#466	C₂²	semidirect
58. C₁₃×#465	C₂²	semidirect
59. C₁₃×#465	C₂²	semidirect
64. C₁₃×#442	C₂²	semidirect
65. C₁₃×#442	C₂²	semidirect
66. C₁₃×#442	C₂²	semidirect
67. C₁₃×#441	C₂²	semidirect
68. C₁₃×#441	C₂²	semidirect
69. C₁₃×#440	C₂²	semidirect
70. C₁₃×#440	C₂²	semidirect
71. C₁₃×#440	C₂²	semidirect
72. C₄×C₁₃×SD₁₆	C₂²	semidirect
73. C₄×C₁₃×D₈	C₂²	semidirect
83. C₁₃×#405	C₂²	semidirect
84. C₁₃×#405	C₂²	semidirect
86. C₄×C₁₃×M₁₆	C₂²	semidirect
88. C₂×C₁₃×#97	C₂²	semidirect
198. #60698	C₁₃	direct (N × H)
242. C₁₃×M₁₆	#41	semidirect
246. C₂×C₈×C₁₃	#41	semidirect
286. #3460	C₂×C₁₃	semidirect
287. #3184	C₂×C₁₃	semidirect
288. #3183	C₂×C₁₃	semidirect
289. #3180	C₂×C₁₃	semidirect
290. #3179	C₂×C₁₃	semidirect
291. #3176	C₂×C₁₃	semidirect
292. #3173	C₂×C₁₃	semidirect
293. #3163	C₂×C₁₃	semidirect
294. #3155	C₂×C₁₃	semidirect
295. #3136	C₂×C₁₃	semidirect
296. #3062	C₂×C₁₃	semidirect
297. #3060	C₂×C₁₃	semidirect
298. #3058	C₂×C₁₃	semidirect
299. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
300. #2943	C₂×C₁₃	semidirect
301. C₂×#442	C₂×C₁₃	semidirect
302. #2875	C₂×C₁₃	semidirect
362. #542	C₂²×C₁₃	semidirect
364. #540	C₂²×C₁₃	semidirect
370. #532	C₂²×C₁₃	semidirect
372. #529	C₂²×C₁₃	semidirect
377. #501	C₂²×C₁₃	semidirect
378. #499	C₂²×C₁₃	semidirect
379. #498	C₂²×C₁₃	semidirect
383. #490	C₂²×C₁₃	semidirect
384. #489	C₂²×C₁₃	semidirect
385. #488	C₂²×C₁₃	semidirect
386. #486	C₂²×C₁₃	semidirect
387. #470	C₂²×C₁₃	semidirect
390. #469	C₂²×C₁₃	semidirect
391. #469	C₂²×C₁₃	semidirect
392. #468	C₂²×C₁₃	semidirect
394. #466	C₂²×C₁₃	semidirect
395. #465	C₂²×C₁₃	semidirect
396. #465	C₂²×C₁₃	semidirect
401. #442	C₂²×C₁₃	semidirect
402. #442	C₂²×C₁₃	semidirect
403. #442	C₂²×C₁₃	semidirect
404. #441	C₂²×C₁₃	semidirect
405. #441	C₂²×C₁₃	semidirect
406. #440	C₂²×C₁₃	semidirect
407. #440	C₂²×C₁₃	semidirect
408. #440	C₂²×C₁₃	semidirect
409. C₄×SD₁₆	C₂²×C₁₃	semidirect
410. C₄×D₈	C₂²×C₁₃	semidirect
420. #405	C₂²×C₁₃	semidirect
421. #405	C₂²×C₁₃	semidirect
423. C₄×M₁₆	C₂²×C₁₃	semidirect
425. C₂×#97	C₂²×C₁₃	semidirect
607. M₁₆	C₁₃×#41	semidirect
611. C₂×C₈	C₁₃×#41	semidirect
651. C₁₃	#60698	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×#3460	2
C₁₃×#3184	2
C₁₃×#3183	2
C₁₃×#3180	2
C₁₃×#3179	2
C₁₃×#3176	2
C₁₃×#3173	2
C₁₃×#3163	2
C₁₃×#3155	2
C₁₃×#3136	2
C₁₃×#3062	2
C₁₃×#3060	2
C₁₃×#3058	2
C₄×C₁₃×AGL(1,ℤ/8)	2
C₁₃×#2943	2
C₂×C₁₃×#442	2
C₁₃×#2875	2
#60698	13

Subgroups — C13×#60698 #15747037

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60698 #15747037