Subgroups — C₁₃×#36834 #15723173

Order 3328.

1454 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2851	C₂	1	2	yes	maximal
2	C₁₃×#2788	C₂	1	2	yes	maximal
3	C₁₃×#2787	C₂	1	2	yes	maximal
4	C₁₃×#2774	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2770	C₂	1	2	yes	maximal
6	C₁₃×#2768	C₂	1	2	yes	maximal
7	C₁₃×#2766	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2726	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2719	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2655	C₂	1	2	yes	maximal, complemented
11	C₁₃×#2611	C₂	1	1	yes	maximal, characteristic
12	C₁₃×#2606	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2599	C₂	1	1	yes	maximal, characteristic
14	C₁₃×#2590	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2584	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2475	C₂	1	2	yes	maximal
17	C₁₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2320	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2296	C₂	1	1	yes	maximal, characteristic
20	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×#125	C₂²	1	2	yes	—
22	C₂×C₁₃×#125	C₂²	1	2	yes	—
23	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
26	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
27	C₁₃×#401	C₂²	1	2	yes	—
28	C₁₃×#400	C₂²	1	1	yes	characteristic
29	C₁₃×#400	C₂²	1	2	yes	—
30	C₁₃×#400	C₂²	1	2	yes	—
31	C₁₃×#400	C₂²	1	2	yes	—
32	C₁₃×#400	C₂²	1	2	yes	—
33	C₁₃×#400	C₂²	1	2	yes	—
34	C₁₃×#400	C₂²	1	2	yes	—
35	C₁₃×#399	C₂²	1	1	yes	characteristic
36	C₁₃×#398	C₂²	1	2	yes	—
37	C₁₃×#398	C₂²	1	2	yes	—
38	C₁₃×#398	C₂²	1	2	yes	—
39	C₁₃×#398	C₂²	1	2	yes	—
40	C₁₃×#398	C₂²	1	2	yes	—
41	C₁₃×#398	C₂²	1	2	yes	—
42	C₁₃×#398	C₂²	1	2	yes	—
43	C₁₃×#398	C₂²	1	2	yes	—
44	C₁₃×#398	C₂²	1	2	yes	—
45	C₁₃×#398	C₂²	1	2	yes	—
46	C₁₃×#398	C₂²	1	1	yes	characteristic
47	C₁₃×#398	C₂²	1	1	yes	characteristic
48	C₁₃×#397	C₂²	1	1	yes	characteristic
49	C₁₃×#397	C₂²	1	2	yes	—
50	C₁₃×#397	C₂²	1	1	yes	characteristic
51	C₁₃×#396	C₂²	1	2	yes	—
52	C₁₃×#395	C₂²	1	1	yes	characteristic
53	C₁₃×#395	C₂²	1	2	yes	—
54	C₁₃×#393	C₂²	1	1	yes	characteristic
55	C₁₃×#391	C₂²	1	2	yes	—
56	C₁₃×#389	C₂²	1	2	yes	—
57	C₁₃×#389	C₂²	1	2	yes	—
58	C₁₃×#389	C₂²	1	2	yes	—
59	C₁₃×#389	C₂²	1	2	yes	—
60	C₁₃×#389	C₂²	1	2	yes	—
61	C₁₃×#389	C₂²	1	2	yes	—
62	C₁₃×#389	C₂²	1	2	yes	—
63	C₁₃×#389	C₂²	1	2	yes	—
64	C₁₃×#389	C₂²	1	2	yes	—
65	C₁₃×#389	C₂²	1	2	yes	—
66	C₁₃×#389	C₂²	1	2	yes	—
67	C₁₃×#389	C₂²	1	2	yes	—
68	C₁₃×#388	C₂²	1	2	yes	—
69	C₁₃×#388	C₂²	1	2	yes	—
70	C₁₃×#388	C₂²	1	2	yes	—
71	C₁₃×#388	C₂²	1	2	yes	—
72	C₁₃×#387	C₂²	1	2	yes	—
73	C₁₃×#387	C₂²	1	2	yes	—
74	C₁₃×#387	C₂²	1	2	yes	—
75	C₁₃×#387	C₂²	1	2	yes	—
76	C₁₃×#387	C₂²	1	2	yes	—
77	C₁₃×#387	C₂²	1	2	yes	—
78	C₁₃×#387	C₂²	1	2	yes	—
79	C₁₃×#387	C₂²	1	2	yes	—
80	C₁₃×#387	C₂²	1	2	yes	—
81	C₁₃×#387	C₂²	1	2	yes	—
82	C₁₃×#387	C₂²	1	2	yes	—
83	C₁₃×#387	C₂²	1	2	yes	—
84	C₁₃×#387	C₂²	1	2	yes	—
85	C₁₃×#387	C₂²	1	2	yes	—
86	C₁₃×#387	C₂²	1	2	yes	—
87	C₁₃×#387	C₂²	1	2	yes	—
88	C₁₃×#387	C₂²	1	2	yes	—
89	C₁₃×#385	C₂²	1	2	yes	—
90	C₁₃×#385	C₂²	1	2	yes	—
91	C₁₃×#385	C₂²	1	2	yes	—
92	C₁₃×#385	C₂²	1	2	yes	—
93	C₁₃×#385	C₂²	1	2	yes	—
94	C₁₃×#385	C₂²	1	2	yes	—
95	C₁₃×#383	C₂²	1	2	yes	—
96	C₁₃×#383	C₂²	1	1	yes	characteristic
97	C₁₃×#382	C₂²	1	2	yes	—
98	C₁₃×#382	C₂²	1	2	yes	—
99	C₁₃×#380	C₂²	1	2	yes	—
100	C₁₃×#380	C₂²	1	2	yes	—
101	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
102	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
103	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
104	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
106	C₁₃×#376	C₂²	1	1	yes	characteristic
107	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
108	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
109	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
110	C₁₃×#125	—	2	4	no	—
111	C₁₃×#125	—	4	4	no	—
112	C₁₃×#125	—	4	4	no	—
113	C₄×Q₈×C₁₃	—	2	4	no	—
114	C₁₃×#117	—	2	4	no	—
115	C₁₃×#117	—	4	2	no	—
116	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
117	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
118	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
119	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
120	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
121	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
122	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
123	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
124	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
125	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
126	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
127	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
128	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
129	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
130	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
131	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
132	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
133	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
134	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
135	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
136	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
137	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
138	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
139	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
140	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
141	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
142	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
143	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
144	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
145	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
146	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
147	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
148	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
149	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
152	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
153	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
154	C₂×C₄²×C₁₃	—	4	2	no	—
155	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
156	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
157	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
158	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
159	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
160	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
161	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
162	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
163	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
164	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
165	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
166	C₁₃×#95	C₂³	1	2	yes	—
167	C₁₃×#95	C₂³	1	2	yes	—
168	C₁₃×#95	C₂³	1	2	yes	—
169	C₁₃×#95	C₂³	1	2	yes	—
170	C₁₃×#95	C₂³	1	2	yes	—
171	C₁₃×#95	C₂³	1	2	yes	—
172	C₁₃×#95	C₂³	1	2	yes	—
173	C₁₃×#95	C₂³	1	2	yes	—
174	C₁₃×#95	C₂³	1	2	yes	—
175	C₁₃×#95	C₂³	1	2	yes	—
176	C₁₃×#95	C₂³	1	1	yes	characteristic
177	C₁₃×#95	C₂³	1	2	yes	—
178	C₁₃×#95	C₂³	1	2	yes	—
179	C₁₃×#95	C₂³	1	2	yes	—
180	C₁₃×#95	C₂³	1	2	yes	—
181	C₁₃×#95	C₂³	1	2	yes	—
182	C₁₃×#95	C₂³	1	1	yes	characteristic
183	C₁₃×#95	C₂³	1	1	yes	characteristic
184	C₁₃×#95	C₂³	1	2	yes	—
185	C₁₃×#95	C₂³	1	2	yes	—
186	C₁₃×#95	C₂³	1	2	yes	—
187	C₁₃×#95	C₂³	1	1	yes	characteristic
188	C₁₃×#95	C₂³	1	2	yes	—
189	C₁₃×#95	C₂³	1	2	yes	—
190	C₁₃×#95	C₂³	1	2	yes	—
191	C₁₃×#95	C₂³	1	2	yes	—
192	C₁₃×#95	C₂³	1	2	yes	—
193	C₁₃×#95	C₂³	1	2	yes	—
194	C₁₃×#95	C₂³	1	2	yes	—
195	C₁₃×#95	C₂³	1	2	yes	—
196	C₁₃×#95	C₂³	1	2	yes	—
197	C₁₃×#95	C₂³	1	2	yes	—
198	C₁₃×#95	C₂³	1	2	yes	—
199	C₁₃×#95	C₂³	1	2	yes	—
200	C₁₃×#95	C₂³	1	2	yes	—
201	#36834	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
202	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
203	C₂×Q₈×C₁₃	—	2	2	no	—
204	C₂×Q₈×C₁₃	—	4	2	no	—
205	C₂²×C₄×C₁₃	—	2	2	no	—
206	C₂²×C₄×C₁₃	—	2	2	no	—
207	C₂²×C₄×C₁₃	—	2	2	no	—
208	C₂²×C₄×C₁₃	—	2	4	no	—
209	C₂²×C₄×C₁₃	—	4	2	no	—
210	C₂²×C₄×C₁₃	—	4	2	no	—
211	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
212	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
213	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
214	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
215	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
216	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
217	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
218	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
219	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
220	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
221	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
222	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
223	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
224	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
225	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
226	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
227	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
228	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
229	C₁₃×C₄⋊C₄	—	2	2	no	—
230	C₁₃×C₄⋊C₄	—	2	2	no	—
231	C₁₃×C₄⋊C₄	—	2	2	no	—
232	C₁₃×C₄⋊C₄	—	2	4	no	—
233	C₁₃×C₄⋊C₄	—	2	2	no	—
234	C₁₃×C₄⋊C₄	—	2	2	no	—
235	C₁₃×C₄⋊C₄	—	2	4	no	—
236	C₁₃×C₄⋊C₄	—	2	4	no	—
237	C₁₃×C₄⋊C₄	—	2	4	no	—
238	C₁₃×C₄⋊C₄	—	2	4	no	—
239	C₁₃×C₄⋊C₄	—	2	4	no	—
240	C₁₃×C₄⋊C₄	—	2	4	no	—
241	C₁₃×C₄⋊C₄	—	2	4	no	—
242	C₁₃×C₄⋊C₄	—	2	4	no	—
243	C₁₃×C₄⋊C₄	—	2	4	no	—
244	C₁₃×C₄⋊C₄	—	4	2	no	—
245	C₁₃×C₄⋊C₄	—	4	2	no	—
246	C₁₃×C₄⋊C₄	—	4	2	no	—
247	C₁₃×C₄⋊C₄	—	4	2	no	—
248	C₁₃×C₄⋊C₄	—	4	2	no	—
249	C₁₃×C₄⋊C₄	—	4	2	no	—
250	C₁₃×C₄⋊C₄	—	4	2	no	—
251	C₁₃×C₄⋊C₄	—	4	2	no	—
252	C₁₃×C₄⋊C₄	—	4	2	no	—
253	C₁₃×C₄⋊C₄	—	4	2	no	—
254	C₁₃×C₄⋊C₄	—	4	2	no	—
255	C₁₃×C₄⋊C₄	—	4	2	no	—
256	C₁₃×C₄⋊C₄	—	4	2	no	—
257	C₁₃×C₄⋊C₄	—	4	2	no	—
258	C₁₃×C₄⋊C₄	—	4	2	no	—
259	C₁₃×C₄⋊C₄	—	4	2	no	—
260	C₁₃×C₂²⋊C₄	—	2	4	no	—
261	C₁₃×C₂²⋊C₄	—	2	4	no	—
262	C₁₃×C₂²⋊C₄	—	2	2	no	—
263	C₁₃×C₂²⋊C₄	—	2	2	no	—
264	C₁₃×C₂²⋊C₄	—	4	2	no	—
265	C₁₃×C₂²⋊C₄	—	4	2	no	—
266	C₁₃×C₂²⋊C₄	—	4	2	no	—
267	C₄²×C₁₃	—	2	2	no	—
268	C₄²×C₁₃	—	2	4	no	—
269	C₄²×C₁₃	—	2	4	no	—
270	C₄²×C₁₃	—	4	1	no	—
271	C₄²×C₁₃	—	4	1	no	—
272	C₄²×C₁₃	—	4	2	no	—
273	C₄²×C₁₃	—	4	2	no	—
274	C₄²×C₁₃	—	4	1	no	—
275	C₄²×C₁₃	—	4	1	no	—
276	C₄²×C₁₃	—	4	2	no	—
277	C₄²×C₁₃	#41	1	4	yes	—
278	#2851	C₂×C₁₃	1	2	yes	—
279	#2788	C₂×C₁₃	1	2	yes	—
280	#2787	C₂×C₁₃	1	2	yes	—
281	#2774	C₂×C₁₃	1	2	yes	complemented
282	#2770	C₂×C₁₃	1	2	yes	—
283	#2768	C₂×C₁₃	1	2	yes	—
284	#2766	C₂×C₁₃	1	2	yes	complemented
285	#2726	C₂×C₁₃	1	2	yes	complemented
286	#2719	C₂×C₁₃	1	2	yes	complemented
287	#2655	C₂×C₁₃	1	2	yes	complemented
288	#2611	C₂×C₁₃	1	1	yes	characteristic
289	#2606	C₂×C₁₃	1	1	yes	characteristic, complemented
290	#2599	C₂×C₁₃	1	1	yes	characteristic
291	#2590	C₂×C₁₃	1	2	yes	complemented
292	#2584	C₂×C₁₃	1	1	yes	characteristic, complemented
293	#2475	C₂×C₁₃	1	2	yes	—
294	#2336	C₂×C₁₃	1	1	yes	characteristic, complemented
295	#2320	C₂×C₁₃	1	1	yes	characteristic, complemented
296	#2296	C₂×C₁₃	1	1	yes	characteristic
297	C₂³×C₁₃	—	2	1	no	—
298	C₂³×C₁₃	—	2	1	no	—
299	C₂³×C₁₃	—	2	2	no	—
300	C₂³×C₁₃	—	2	2	no	—
301	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
302	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
303	Q₈×C₁₃	—	4	4	no	—
304	C₂×C₄×C₁₃	—	2	8	no	—
305	C₂×C₄×C₁₃	—	2	1	no	—
306	C₂×C₄×C₁₃	—	2	2	no	—
307	C₂×C₄×C₁₃	—	2	1	no	—
308	C₂×C₄×C₁₃	—	2	2	no	—
309	C₂×C₄×C₁₃	—	2	1	no	—
310	C₂×C₄×C₁₃	—	2	1	no	—
311	C₂×C₄×C₁₃	—	2	2	no	—
312	C₂×C₄×C₁₃	—	2	2	no	—
313	C₂×C₄×C₁₃	—	2	1	no	—
314	C₂×C₄×C₁₃	—	2	1	no	—
315	C₂×C₄×C₁₃	—	2	2	no	—
316	C₂×C₄×C₁₃	—	2	2	no	—
317	C₂×C₄×C₁₃	—	2	2	no	—
318	C₂×C₄×C₁₃	—	2	2	no	—
319	C₂×C₄×C₁₃	—	2	2	no	—
320	C₂×C₄×C₁₃	—	2	2	no	—
321	C₂×C₄×C₁₃	—	2	2	no	—
322	C₂×C₄×C₁₃	—	2	2	no	—
323	C₂×C₄×C₁₃	—	2	2	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	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	2	no	—
333	C₂×C₄×C₁₃	—	2	2	no	—
334	C₂×C₄×C₁₃	—	2	2	no	—
335	C₂×C₄×C₁₃	—	2	2	no	—
336	C₂×C₄×C₁₃	—	2	2	no	—
337	C₂×C₄×C₁₃	—	2	2	no	—
338	C₂×C₄×C₁₃	—	2	2	no	—
339	C₂×C₄×C₁₃	—	2	2	no	—
340	C₂×C₄×C₁₃	—	2	2	no	—
341	C₂×C₄×C₁₃	—	2	2	no	—
342	C₂×C₄×C₁₃	—	2	2	no	—
343	C₂×C₄×C₁₃	—	2	2	no	—
344	C₂×C₄×C₁₃	—	2	2	no	—
345	C₂×C₄×C₁₃	—	2	2	no	—
346	C₂×C₄×C₁₃	—	2	2	no	—
347	C₂×C₄×C₁₃	—	2	2	no	—
348	C₂×C₄×C₁₃	—	2	2	no	—
349	C₂×C₄×C₁₃	—	2	2	no	—
350	C₂×C₄×C₁₃	—	4	8	no	—
351	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
352	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
353	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
354	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
355	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
356	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
357	C₂×#125	C₂²×C₁₃	1	2	yes	—
358	C₂×#125	C₂²×C₁₃	1	2	yes	—
359	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
360	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
361	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
362	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
363	#401	C₂²×C₁₃	1	2	yes	—
364	#400	C₂²×C₁₃	1	2	yes	—
365	#400	C₂²×C₁₃	1	1	yes	characteristic
366	#400	C₂²×C₁₃	1	2	yes	—
367	#400	C₂²×C₁₃	1	2	yes	—
368	#400	C₂²×C₁₃	1	2	yes	—
369	#400	C₂²×C₁₃	1	2	yes	—
370	#400	C₂²×C₁₃	1	2	yes	—
371	#399	C₂²×C₁₃	1	1	yes	characteristic
372	#398	C₂²×C₁₃	1	2	yes	—
373	#398	C₂²×C₁₃	1	2	yes	—
374	#398	C₂²×C₁₃	1	2	yes	—
375	#398	C₂²×C₁₃	1	2	yes	—
376	#398	C₂²×C₁₃	1	1	yes	characteristic
377	#398	C₂²×C₁₃	1	2	yes	—
378	#398	C₂²×C₁₃	1	2	yes	—
379	#398	C₂²×C₁₃	1	1	yes	characteristic
380	#398	C₂²×C₁₃	1	2	yes	—
381	#398	C₂²×C₁₃	1	2	yes	—
382	#398	C₂²×C₁₃	1	2	yes	—
383	#398	C₂²×C₁₃	1	2	yes	—
384	#397	C₂²×C₁₃	1	1	yes	characteristic
385	#397	C₂²×C₁₃	1	1	yes	characteristic
386	#397	C₂²×C₁₃	1	2	yes	—
387	#396	C₂²×C₁₃	1	2	yes	—
388	#395	C₂²×C₁₃	1	2	yes	—
389	#395	C₂²×C₁₃	1	1	yes	characteristic
390	#393	C₂²×C₁₃	1	1	yes	characteristic
391	#391	C₂²×C₁₃	1	2	yes	—
392	#389	C₂²×C₁₃	1	2	yes	—
393	#389	C₂²×C₁₃	1	2	yes	—
394	#389	C₂²×C₁₃	1	2	yes	—
395	#389	C₂²×C₁₃	1	2	yes	—
396	#389	C₂²×C₁₃	1	2	yes	—
397	#389	C₂²×C₁₃	1	2	yes	—
398	#389	C₂²×C₁₃	1	2	yes	—
399	#389	C₂²×C₁₃	1	2	yes	—
400	#389	C₂²×C₁₃	1	2	yes	—
401	#389	C₂²×C₁₃	1	2	yes	—
402	#389	C₂²×C₁₃	1	2	yes	—
403	#389	C₂²×C₁₃	1	2	yes	—
404	#388	C₂²×C₁₃	1	2	yes	—
405	#388	C₂²×C₁₃	1	2	yes	—
406	#388	C₂²×C₁₃	1	2	yes	—
407	#388	C₂²×C₁₃	1	2	yes	—
408	#387	C₂²×C₁₃	1	2	yes	—
409	#387	C₂²×C₁₃	1	2	yes	—
410	#387	C₂²×C₁₃	1	2	yes	—
411	#387	C₂²×C₁₃	1	2	yes	—
412	#387	C₂²×C₁₃	1	2	yes	—
413	#387	C₂²×C₁₃	1	2	yes	—
414	#387	C₂²×C₁₃	1	2	yes	—
415	#387	C₂²×C₁₃	1	2	yes	—
416	#387	C₂²×C₁₃	1	2	yes	—
417	#387	C₂²×C₁₃	1	2	yes	—
418	#387	C₂²×C₁₃	1	2	yes	—
419	#387	C₂²×C₁₃	1	2	yes	—
420	#387	C₂²×C₁₃	1	2	yes	—
421	#387	C₂²×C₁₃	1	2	yes	—
422	#387	C₂²×C₁₃	1	2	yes	—
423	#387	C₂²×C₁₃	1	2	yes	—
424	#387	C₂²×C₁₃	1	2	yes	—
425	#385	C₂²×C₁₃	1	2	yes	—
426	#385	C₂²×C₁₃	1	2	yes	—
427	#385	C₂²×C₁₃	1	2	yes	—
428	#385	C₂²×C₁₃	1	2	yes	—
429	#385	C₂²×C₁₃	1	2	yes	—
430	#385	C₂²×C₁₃	1	2	yes	—
431	#383	C₂²×C₁₃	1	2	yes	—
432	#383	C₂²×C₁₃	1	1	yes	characteristic
433	#382	C₂²×C₁₃	1	2	yes	—
434	#382	C₂²×C₁₃	1	2	yes	—
435	#380	C₂²×C₁₃	1	2	yes	—
436	#380	C₂²×C₁₃	1	2	yes	—
437	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
438	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
439	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
440	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
441	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
442	#376	C₂²×C₁₃	1	1	yes	characteristic
443	C₂²×C₁₃	—	2	2	no	—
444	C₂²×C₁₃	—	2	4	no	—
445	C₂²×C₁₃	—	4	1	no	—
446	C₂²×C₁₃	—	4	1	no	—
447	C₂²×C₁₃	—	4	2	no	—
448	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
449	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
450	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
451	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
452	C₂²×C₁₃	#585	1	2	yes	—
453	C₄×C₁₃	—	2	2	no	—
454	C₄×C₁₃	—	2	2	no	—
455	C₄×C₁₃	—	2	2	no	—
456	C₄×C₁₃	—	2	2	no	—
457	C₄×C₁₃	—	2	4	no	—
458	C₄×C₁₃	—	4	1	no	—
459	C₄×C₁₃	—	4	2	no	—
460	C₄×C₁₃	—	4	2	no	—
461	C₄×C₁₃	—	4	2	no	—
462	C₄×C₁₃	—	4	2	no	—
463	C₄×C₁₃	—	4	1	no	—
464	C₄×C₁₃	—	4	2	no	—
465	C₄×C₁₃	—	4	2	no	—
466	C₄×C₁₃	—	4	2	no	—
467	C₄×C₁₃	—	4	2	no	—
468	C₄×C₁₃	—	4	2	no	—
469	C₄×C₁₃	—	4	2	no	—
470	C₄×C₁₃	—	4	2	no	—
471	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
472	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
473	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
474	#125	—	2	4	no	—
475	#125	—	4	4	no	—
476	#125	—	4	4	no	—
477	C₄×Q₈	—	2	4	no	—
478	#117	—	2	4	no	—
479	#117	—	4	2	no	—
480	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
481	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
482	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
483	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
484	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
485	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
486	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
487	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
488	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
489	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
490	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
491	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
492	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
493	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
494	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
495	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
496	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
497	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
498	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
499	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
500	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
501	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
502	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
503	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
504	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
505	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
506	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
507	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
508	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
509	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
510	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
511	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
512	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
513	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
514	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
515	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
516	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
517	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
518	C₂×C₄²	—	4	2	no	—
519	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
520	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
521	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
522	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
523	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
524	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
525	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
526	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
527	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
528	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
529	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
530	#95	C₂³×C₁₃	1	1	yes	characteristic
531	#95	C₂³×C₁₃	1	1	yes	characteristic
532	#95	C₂³×C₁₃	1	2	yes	—
533	#95	C₂³×C₁₃	1	2	yes	—
534	#95	C₂³×C₁₃	1	2	yes	—
535	#95	C₂³×C₁₃	1	2	yes	—
536	#95	C₂³×C₁₃	1	2	yes	—
537	#95	C₂³×C₁₃	1	2	yes	—
538	#95	C₂³×C₁₃	1	2	yes	—
539	#95	C₂³×C₁₃	1	2	yes	—
540	#95	C₂³×C₁₃	1	2	yes	—
541	#95	C₂³×C₁₃	1	2	yes	—
542	#95	C₂³×C₁₃	1	2	yes	—
543	#95	C₂³×C₁₃	1	2	yes	—
544	#95	C₂³×C₁₃	1	2	yes	—
545	#95	C₂³×C₁₃	1	2	yes	—
546	#95	C₂³×C₁₃	1	2	yes	—
547	#95	C₂³×C₁₃	1	2	yes	—
548	#95	C₂³×C₁₃	1	1	yes	characteristic
549	#95	C₂³×C₁₃	1	2	yes	—
550	#95	C₂³×C₁₃	1	2	yes	—
551	#95	C₂³×C₁₃	1	2	yes	—
552	#95	C₂³×C₁₃	1	1	yes	characteristic
553	#95	C₂³×C₁₃	1	2	yes	—
554	#95	C₂³×C₁₃	1	2	yes	—
555	#95	C₂³×C₁₃	1	2	yes	—
556	#95	C₂³×C₁₃	1	2	yes	—
557	#95	C₂³×C₁₃	1	2	yes	—
558	#95	C₂³×C₁₃	1	2	yes	—
559	#95	C₂³×C₁₃	1	2	yes	—
560	#95	C₂³×C₁₃	1	2	yes	—
561	#95	C₂³×C₁₃	1	2	yes	—
562	#95	C₂³×C₁₃	1	2	yes	—
563	#95	C₂³×C₁₃	1	2	yes	—
564	#95	C₂³×C₁₃	1	2	yes	—
565	C₂×C₁₃	—	4	2	no	—
566	C₂×C₁₃	#3455	1	1	yes	characteristic
567	C₂×C₁₃	#3492	1	1	yes	characteristic
568	C₂×C₁₃	#3509	1	1	yes	characteristic
569	C₂×C₁₃	#3541	1	2	yes	—
570	C₂×C₁₃	#3563	1	2	yes	—
571	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
572	C₂×Q₈	—	2	2	no	—
573	C₂×Q₈	—	4	2	no	—
574	C₂²×C₄	—	2	2	no	—
575	C₂²×C₄	—	2	2	no	—
576	C₂²×C₄	—	2	2	no	—
577	C₂²×C₄	—	2	4	no	—
578	C₂²×C₄	—	4	2	no	—
579	C₂²×C₄	—	4	2	no	—
580	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
581	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
582	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
583	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
584	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
585	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
586	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
587	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
588	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
589	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
590	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
591	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
592	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
593	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
594	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
595	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
596	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
597	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
598	C₄⋊C₄	—	2	2	no	—
599	C₄⋊C₄	—	2	2	no	—
600	C₄⋊C₄	—	2	2	no	—
601	C₄⋊C₄	—	2	4	no	—
602	C₄⋊C₄	—	2	2	no	—
603	C₄⋊C₄	—	2	2	no	—
604	C₄⋊C₄	—	2	4	no	—
605	C₄⋊C₄	—	2	4	no	—
606	C₄⋊C₄	—	2	4	no	—
607	C₄⋊C₄	—	2	4	no	—
608	C₄⋊C₄	—	2	4	no	—
609	C₄⋊C₄	—	2	4	no	—
610	C₄⋊C₄	—	2	4	no	—
611	C₄⋊C₄	—	2	4	no	—
612	C₄⋊C₄	—	2	4	no	—
613	C₄⋊C₄	—	4	2	no	—
614	C₄⋊C₄	—	4	2	no	—
615	C₄⋊C₄	—	4	2	no	—
616	C₄⋊C₄	—	4	2	no	—
617	C₄⋊C₄	—	4	2	no	—
618	C₄⋊C₄	—	4	2	no	—
619	C₄⋊C₄	—	4	2	no	—
620	C₄⋊C₄	—	4	2	no	—
621	C₄⋊C₄	—	4	2	no	—
622	C₄⋊C₄	—	4	2	no	—
623	C₄⋊C₄	—	4	2	no	—
624	C₄⋊C₄	—	4	2	no	—
625	C₄⋊C₄	—	4	2	no	—
626	C₄⋊C₄	—	4	2	no	—
627	C₄⋊C₄	—	4	2	no	—
628	C₄⋊C₄	—	4	2	no	—
629	C₂²⋊C₄	—	2	4	no	—
630	C₂²⋊C₄	—	2	4	no	—
631	C₂²⋊C₄	—	2	2	no	—
632	C₂²⋊C₄	—	2	2	no	—
633	C₂²⋊C₄	—	4	2	no	—
634	C₂²⋊C₄	—	4	2	no	—
635	C₂²⋊C₄	—	4	2	no	—
636	C₄²	—	2	2	no	—
637	C₄²	—	2	4	no	—
638	C₄²	—	2	4	no	—
639	C₄²	—	4	1	no	—
640	C₄²	—	4	1	no	—
641	C₄²	—	4	1	no	—
642	C₄²	—	4	1	no	—
643	C₄²	—	4	2	no	—
644	C₄²	—	4	2	no	—
645	C₄²	—	4	2	no	—
646	C₄²	C₁₃×#41	1	4	yes	—
647	C₁₃	#36834	1	1	yes	characteristic, direct product factor, Sylow
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	2	no	—
651	C₂³	—	2	2	no	—
652	C₂³	C₁₃×2₋¹⁺⁴	1	2	yes	—
653	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
654	Q₈	—	4	4	no	—
655	C₂×C₄	—	2	8	no	—
656	C₂×C₄	—	2	1	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	1	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	2	no	—
663	C₂×C₄	—	2	2	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	1	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	2	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	2	2	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	2	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	2	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	2	no	—
687	C₂×C₄	—	2	2	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	2	no	—
691	C₂×C₄	—	2	2	no	—
692	C₂×C₄	—	2	2	no	—
693	C₂×C₄	—	2	2	no	—
694	C₂×C₄	—	2	2	no	—
695	C₂×C₄	—	2	2	no	—
696	C₂×C₄	—	2	2	no	—
697	C₂×C₄	—	2	2	no	—
698	C₂×C₄	—	2	2	no	—
699	C₂×C₄	—	2	2	no	—
700	C₂×C₄	—	2	2	no	—
701	C₂×C₄	—	4	8	no	—
702	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
703	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
704	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
705	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
706	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
707	C₂²	—	2	4	no	—
708	C₂²	—	2	2	no	—
709	C₂²	—	4	2	no	—
710	C₂²	—	4	1	no	—
711	C₂²	—	4	1	no	—
712	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
713	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
714	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
715	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
716	C₂²	C₁₃×#585	1	2	yes	—
717	C₄	—	2	4	no	—
718	C₄	—	2	2	no	—
719	C₄	—	2	2	no	—
720	C₄	—	2	2	no	—
721	C₄	—	2	2	no	—
722	C₄	—	4	2	no	—
723	C₄	—	4	2	no	—
724	C₄	—	4	2	no	—
725	C₄	—	4	2	no	—
726	C₄	—	4	2	no	—
727	C₄	—	4	2	no	—
728	C₄	—	4	2	no	—
729	C₄	—	4	1	no	—
730	C₄	—	4	2	no	—
731	C₄	—	4	2	no	—
732	C₄	—	4	2	no	—
733	C₄	—	4	2	no	—
734	C₄	—	4	1	no	—
735	C₂	—	4	2	no	—
736	C₂	C₁₃×#3455	1	1	yes	characteristic
737	C₂	C₁₃×#3492	1	1	yes	characteristic
738	C₂	C₁₃×#3509	1	1	yes	characteristic
739	C₂	C₁₃×#3541	1	2	yes	—
740	C₂	C₁₃×#3563	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂⁴×C₁₃	C₂⁴
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₁₃×#2774	C₂	semidirect
7. C₁₃×#2766	C₂	semidirect
8. C₁₃×#2726	C₂	semidirect
9. C₁₃×#2719	C₂	semidirect
10. C₁₃×#2655	C₂	semidirect
12. C₁₃×#2606	C₂	semidirect
14. C₁₃×#2590	C₂	semidirect
15. C₁₃×#2584	C₂	semidirect
17. C₁₃×#2336	C₂	semidirect
18. C₁₃×#2320	C₂	semidirect
201. #36834	C₁₃	direct (N × H)
281. #2774	C₂×C₁₃	semidirect
284. #2766	C₂×C₁₃	semidirect
285. #2726	C₂×C₁₃	semidirect
286. #2719	C₂×C₁₃	semidirect
287. #2655	C₂×C₁₃	semidirect
289. #2606	C₂×C₁₃	semidirect
291. #2590	C₂×C₁₃	semidirect
292. #2584	C₂×C₁₃	semidirect
294. #2336	C₂×C₁₃	semidirect
295. #2320	C₂×C₁₃	semidirect
647. C₁₃	#36834	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×#2851	2
C₁₃×#2788	2
C₁₃×#2787	2
C₁₃×#2774	2
C₁₃×#2770	2
C₁₃×#2768	2
C₁₃×#2766	2
C₁₃×#2726	2
C₁₃×#2719	2
C₁₃×#2655	2
C₁₃×#2611	2
C₁₃×#2606	2
C₁₃×#2599	2
C₁₃×#2590	2
C₁₃×#2584	2
C₁₃×#2475	2
C₁₃×#2336	2
C₁₃×#2320	2
C₁₃×#2296	2
#36834	13

Subgroups — C13×#36834 #15723173

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#36834 #15723173