Subgroups — C₁₃×#61019 #15747358

Order 3328.

1788 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×#3512	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3260	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3259	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3240	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3234	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3217	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3214	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3198	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3180	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3171	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3123	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3122	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3119	C₂	1	4	yes	maximal, complemented
15	C₁₃×#2923	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#559	—	2	2	no	—
17	C₁₃×#553	—	2	2	no	—
18	C₁₃×#553	—	2	2	no	—
19	C₁₃×#553	—	2	2	no	—
20	C₁₃×#552	—	2	2	no	—
21	C₁₃×#550	—	2	2	no	—
22	C₁₃×#546	—	2	2	no	—
23	C₁₃×#546	—	2	2	no	—
24	C₁₃×#541	C₂²	1	1	yes	characteristic
25	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
26	C₁₃×#540	C₂²	1	2	yes	—
27	C₁₃×#540	C₂²	1	1	yes	characteristic
28	C₁₃×#540	C₂²	1	2	yes	—
29	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#537	C₂²	1	2	yes	—
31	C₁₃×#535	C₂²	1	2	yes	—
32	C₁₃×#533	C₂²	1	1	yes	characteristic
33	C₁₃×#532	C₂²	1	2	yes	—
34	C₁₃×#532	C₂²	1	2	yes	—
35	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
37	C₁₃×#529	C₂²	1	2	yes	—
38	C₁₃×#529	C₂²	1	2	yes	complemented
39	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#520	C₂²	1	2	yes	complemented
41	C₁₃×#518	C₂²	1	2	yes	—
42	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
43	C₁₃×#501	C₂²	1	2	yes	complemented
44	C₁₃×#501	C₂²	1	2	yes	complemented
45	C₁₃×#496	C₂²	1	2	yes	—
46	C₁₃×#496	C₂²	1	2	yes	—
47	C₁₃×#490	C₂²	1	2	yes	—
48	C₁₃×#490	C₂²	1	2	yes	—
49	C₁₃×#489	C₂²	1	2	yes	complemented
50	C₁₃×#489	C₂²	1	2	yes	complemented
51	C₁₃×#485	C₂²	1	4	yes	—
52	C₁₃×#482	C₂²	1	4	yes	—
53	C₁₃×#481	C₂²	1	4	yes	complemented
54	C₁₃×#480	C₂²	1	4	yes	complemented
55	C₁₃×#479	C₂²	1	4	yes	complemented
56	C₁₃×#478	C₂²	1	4	yes	complemented
57	C₁₃×#478	C₂²	1	4	yes	complemented
58	C₁₃×#478	C₂²	1	4	yes	complemented
59	C₁₃×#469	C₂²	1	4	yes	complemented
60	C₁₃×#468	C₂²	1	4	yes	complemented
61	C₁₃×#466	C₂²	1	4	yes	complemented
62	C₁₃×#465	C₂²	1	4	yes	complemented
63	C₁₃×#461	C₂²	1	4	yes	complemented
64	C₁₃×#460	C₂²	1	4	yes	—
65	C₁₃×#459	C₂²	1	4	yes	—
66	C₁₃×#459	C₂²	1	4	yes	complemented
67	C₁₃×#450	C₂²	1	4	yes	—
68	C₁₃×#449	C₂²	1	4	yes	complemented
69	C₁₃×#449	C₂²	1	4	yes	complemented
70	C₁₃×#447	C₂²	1	4	yes	—
71	C₁₃×#442	C₂²	1	4	yes	complemented
72	C₁₃×#440	C₂²	1	4	yes	complemented
73	C₄×C₁₃×SD₁₆	C₂²	1	4	yes	complemented
74	C₄×C₁₃×D₈	C₂²	1	4	yes	complemented
75	C₁₃×#433	C₂²	1	2	yes	—
76	C₁₃×#433	C₂²	1	2	yes	complemented
77	C₁₃×#432	C₂²	1	2	yes	—
78	C₁₃×#432	C₂²	1	2	yes	complemented
79	C₁₃×#424	C₂²	1	2	yes	complemented
80	C₁₃×#408	C₂²	1	2	yes	—
81	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₁₃×#41	—	2	2	no	—
84	C₂×C₁₃×#41	—	2	2	no	—
85	C₂×C₁₃×#41	C₂³	1	2	yes	—
86	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
87	C₂²×D₄×C₁₃	—	2	2	no	—
88	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
89	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
90	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
91	C₂×C₁₃×D₈	C₂³	1	4	yes	—
92	C₂×C₁₃×D₈	C₂³	1	4	yes	—
93	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
94	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
95	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
96	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
97	C₁₃×#127	—	2	2	no	—
98	C₁₃×#127	—	2	2	no	—
99	C₁₃×#127	C₂³	1	2	yes	—
100	C₁₃×#127	C₂³	1	1	yes	characteristic
101	C₁₃×#127	C₂³	1	2	yes	—
102	C₁₃×#126	—	2	2	no	—
103	C₁₃×#126	—	2	2	no	—
104	C₁₃×#126	—	2	2	no	—
105	C₁₃×#126	—	2	2	no	—
106	C₁₃×#125	—	2	2	no	—
107	C₁₃×#125	—	2	2	no	—
108	C₁₃×#125	—	2	2	no	—
109	C₁₃×#125	C₂³	1	1	yes	characteristic
110	C₁₃×#125	C₂³	1	1	yes	characteristic
111	C₁₃×#125	C₂³	1	2	yes	—
112	C₁₃×#125	C₂³	1	2	yes	—
113	C₁₃×#124	—	2	2	no	—
114	C₁₃×#124	—	2	2	no	—
115	C₁₃×#124	—	2	2	no	—
116	C₁₃×#124	C₂³	1	2	yes	—
117	C₁₃×#123	—	2	2	no	—
118	C₁₃×#123	—	2	2	no	—
119	C₁₃×#123	—	2	4	no	—
120	C₁₃×#123	—	2	4	no	—
121	C₁₃×#123	—	2	2	no	—
122	C₁₃×#123	—	2	2	no	—
123	C₁₃×C₂²⋊Q₈	—	2	2	no	—
124	C₁₃×C₂²⋊Q₈	—	2	2	no	—
125	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
126	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
127	C₁₃×#121	—	2	2	no	—
128	C₁₃×#121	—	2	2	no	—
129	C₁₃×#121	—	2	2	no	—
130	C₁₃×#121	—	2	2	no	—
131	C₁₃×#121	—	2	2	no	—
132	C₁₃×#121	—	2	2	no	—
133	C₁₃×#121	—	2	4	no	—
134	C₁₃×#121	—	2	4	no	—
135	C₁₃×#121	—	2	2	no	—
136	C₁₃×#121	—	2	2	no	—
137	C₁₃×#121	C₂³	1	2	yes	—
138	C₁₃×#121	C₂³	1	4	yes	—
139	C₁₃×#121	C₂³	1	4	yes	—
140	C₁₃×#121	C₂³	1	2	yes	—
141	C₁₃×#120	—	2	2	no	—
142	C₁₃×#120	—	2	2	no	—
143	C₄×Q₈×C₁₃	—	2	2	no	—
144	C₄×Q₈×C₁₃	D₄	1	2	yes	—
145	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
146	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
147	C₄×D₄×C₁₃	—	2	2	no	—
148	C₄×D₄×C₁₃	—	2	2	no	—
149	C₄×D₄×C₁₃	—	2	4	no	—
150	C₄×D₄×C₁₃	—	2	2	no	—
151	C₄×D₄×C₁₃	—	2	2	no	—
152	C₄×D₄×C₁₃	—	2	2	no	—
153	C₄×D₄×C₁₃	—	2	2	no	—
154	C₄×D₄×C₁₃	—	2	2	no	—
155	C₄×D₄×C₁₃	D₄	1	2	yes	—
156	C₄×D₄×C₁₃	D₄	1	2	yes	—
157	C₄×D₄×C₁₃	D₄	1	2	yes	—
158	C₄×D₄×C₁₃	C₂³	1	2	yes	—
159	C₄×D₄×C₁₃	C₂³	1	4	yes	—
160	C₄×D₄×C₁₃	C₂³	1	2	yes	—
161	C₄×D₄×C₁₃	C₂³	1	4	yes	—
162	C₁₃×#117	—	2	2	no	—
163	C₁₃×#117	—	2	2	no	—
164	C₁₃×#117	—	2	2	no	—
165	C₁₃×#117	C₂³	1	2	yes	—
166	C₁₃×#117	C₂³	1	1	yes	characteristic
167	C₁₃×#117	C₂³	1	1	yes	characteristic
168	C₁₃×#117	C₂³	1	1	yes	characteristic
169	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
170	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
171	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
173	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
174	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
175	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
176	C₁₃×#107	C₂³	1	4	yes	—
177	C₁₃×#107	C₂³	1	4	yes	—
178	C₁₃×#106	C₂³	1	4	yes	—
179	C₁₃×#106	C₂³	1	4	yes	—
180	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
181	C₁₃×C₄⋊C₈	C₂³	1	4	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×#102	C₂³	1	4	yes	—
189	C₁₃×#102	C₂³	1	4	yes	—
190	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
191	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
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	#61019	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
197	C₂⁴×C₁₃	—	2	2	no	—
198	C₁₃×#41	—	4	2	no	—
199	C₁₃×#41	—	4	4	no	—
200	C₁₃×#41	—	8	4	no	—
201	C₁₃×#41	—	8	4	no	—
202	C₂×Q₈×C₁₃	—	2	2	no	—
203	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
204	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
205	C₂×D₄×C₁₃	—	2	2	no	—
206	C₂×D₄×C₁₃	—	2	2	no	—
207	C₂×D₄×C₁₃	—	2	2	no	—
208	C₂×D₄×C₁₃	—	2	4	no	—
209	C₂×D₄×C₁₃	—	2	4	no	—
210	C₂×D₄×C₁₃	—	2	2	no	—
211	C₂×D₄×C₁₃	—	2	2	no	—
212	C₂×D₄×C₁₃	—	2	2	no	—
213	C₂×D₄×C₁₃	—	2	2	no	—
214	C₂×D₄×C₁₃	—	2	4	no	—
215	C₂×D₄×C₁₃	—	4	4	no	—
216	C₂×D₄×C₁₃	—	8	4	no	—
217	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
218	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
219	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
220	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
221	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
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	4	no	—
226	C₂²×C₄×C₁₃	—	2	2	no	—
227	C₂²×C₄×C₁₃	—	2	2	no	—
228	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
229	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
230	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
231	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
232	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
233	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
234	C₁₃×SD₁₆	—	4	4	no	—
235	C₁₃×SD₁₆	—	4	4	no	—
236	C₁₃×D₈	—	4	4	no	—
237	C₁₃×D₈	—	4	4	no	—
238	C₁₃×M₁₆	—	4	2	no	—
239	C₂×C₈×C₁₃	—	4	2	no	—
240	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
241	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
242	C₁₃×C₄⋊C₄	—	2	2	no	—
243	C₁₃×C₄⋊C₄	—	2	2	no	—
244	C₁₃×C₄⋊C₄	—	2	2	no	—
245	C₁₃×C₄⋊C₄	—	2	2	no	—
246	C₁₃×C₄⋊C₄	—	2	2	no	—
247	C₁₃×C₄⋊C₄	—	2	2	no	—
248	C₁₃×C₄⋊C₄	—	2	2	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	4	no	—
254	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
255	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
256	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
257	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
258	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
259	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
260	C₁₃×C₂²⋊C₄	—	2	2	no	—
261	C₁₃×C₂²⋊C₄	—	2	2	no	—
262	C₁₃×C₂²⋊C₄	—	2	2	no	—
263	C₁₃×C₂²⋊C₄	—	2	4	no	—
264	C₁₃×C₂²⋊C₄	—	2	4	no	—
265	C₁₃×C₂²⋊C₄	—	2	2	no	—
266	C₁₃×C₂²⋊C₄	—	2	2	no	—
267	C₁₃×C₂²⋊C₄	—	2	2	no	—
268	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
274	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
275	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
276	C₄²×C₁₃	—	2	2	no	—
277	C₄²×C₁₃	—	2	2	no	—
278	C₄²×C₁₃	—	2	2	no	—
279	C₄²×C₁₃	C₂×D₄	1	2	yes	—
280	C₄²×C₁₃	C₂×D₄	1	2	yes	—
281	C₄²×C₁₃	C₂×D₄	1	2	yes	—
282	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
283	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
284	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
285	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
286	#3512	C₂×C₁₃	1	1	yes	characteristic, complemented
287	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
288	#3260	C₂×C₁₃	1	2	yes	complemented
289	#3259	C₂×C₁₃	1	2	yes	complemented
290	#3240	C₂×C₁₃	1	2	yes	complemented
291	#3234	C₂×C₁₃	1	2	yes	complemented
292	#3217	C₂×C₁₃	1	2	yes	complemented
293	#3214	C₂×C₁₃	1	2	yes	complemented
294	#3198	C₂×C₁₃	1	4	yes	complemented
295	#3180	C₂×C₁₃	1	2	yes	complemented
296	#3171	C₂×C₁₃	1	2	yes	complemented
297	#3123	C₂×C₁₃	1	2	yes	complemented
298	#3122	C₂×C₁₃	1	2	yes	complemented
299	#3119	C₂×C₁₃	1	4	yes	complemented
300	#2923	C₂×C₁₃	1	1	yes	characteristic, complemented
301	C₂³×C₁₃	—	2	2	no	—
302	C₂³×C₁₃	—	2	4	no	—
303	C₂³×C₁₃	—	4	4	no	—
304	C₂³×C₁₃	—	8	4	no	—
305	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
306	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
307	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
308	Q₈×C₁₃	—	2	4	no	—
309	Q₈×C₁₃	—	4	1	no	—
310	Q₈×C₁₃	—	4	4	no	—
311	D₄×C₁₃	—	2	4	no	—
312	D₄×C₁₃	—	2	4	no	—
313	D₄×C₁₃	—	2	4	no	—
314	D₄×C₁₃	—	4	1	no	—
315	D₄×C₁₃	—	4	1	no	—
316	D₄×C₁₃	—	4	1	no	—
317	D₄×C₁₃	—	4	4	no	—
318	D₄×C₁₃	—	4	4	no	—
319	D₄×C₁₃	—	4	4	no	—
320	D₄×C₁₃	—	4	4	no	—
321	D₄×C₁₃	—	8	2	no	—
322	D₄×C₁₃	—	8	4	no	—
323	D₄×C₁₃	—	8	2	no	—
324	D₄×C₁₃	—	8	2	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	4	no	—
332	C₂×C₄×C₁₃	—	2	2	no	—
333	C₂×C₄×C₁₃	—	2	2	no	—
334	C₂×C₄×C₁₃	—	4	2	no	—
335	C₂×C₄×C₁₃	—	4	2	no	—
336	C₂×C₄×C₁₃	—	4	2	no	—
337	C₂×C₄×C₁₃	—	4	4	no	—
338	C₂×C₄×C₁₃	—	8	2	no	—
339	C₂×C₄×C₁₃	—	8	2	no	—
340	C₂×C₄×C₁₃	—	8	4	no	—
341	C₂×C₄×C₁₃	—	8	4	no	—
342	C₂×C₄×C₁₃	—	8	2	no	—
343	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
344	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
345	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
346	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
347	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
348	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
349	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
350	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
351	C₈×C₁₃	—	2	4	no	—
352	C₈×C₁₃	—	2	4	no	—
353	#559	—	2	2	no	—
354	#553	—	2	2	no	—
355	#553	—	2	2	no	—
356	#553	—	2	2	no	—
357	#552	—	2	2	no	—
358	#550	—	2	2	no	—
359	#546	—	2	2	no	—
360	#546	—	2	2	no	—
361	#541	C₂²×C₁₃	1	1	yes	characteristic
362	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
363	#540	C₂²×C₁₃	1	2	yes	—
364	#540	C₂²×C₁₃	1	1	yes	characteristic
365	#540	C₂²×C₁₃	1	2	yes	—
366	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
367	#537	C₂²×C₁₃	1	2	yes	—
368	#535	C₂²×C₁₃	1	2	yes	—
369	#533	C₂²×C₁₃	1	1	yes	characteristic
370	#532	C₂²×C₁₃	1	2	yes	—
371	#532	C₂²×C₁₃	1	2	yes	—
372	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
373	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
374	#529	C₂²×C₁₃	1	2	yes	—
375	#529	C₂²×C₁₃	1	2	yes	complemented
376	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
377	#520	C₂²×C₁₃	1	2	yes	complemented
378	#518	C₂²×C₁₃	1	2	yes	—
379	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
380	#501	C₂²×C₁₃	1	2	yes	complemented
381	#501	C₂²×C₁₃	1	2	yes	complemented
382	#496	C₂²×C₁₃	1	2	yes	—
383	#496	C₂²×C₁₃	1	2	yes	—
384	#490	C₂²×C₁₃	1	2	yes	—
385	#490	C₂²×C₁₃	1	2	yes	—
386	#489	C₂²×C₁₃	1	2	yes	complemented
387	#489	C₂²×C₁₃	1	2	yes	complemented
388	#485	C₂²×C₁₃	1	4	yes	—
389	#482	C₂²×C₁₃	1	4	yes	—
390	#481	C₂²×C₁₃	1	4	yes	complemented
391	#480	C₂²×C₁₃	1	4	yes	complemented
392	#479	C₂²×C₁₃	1	4	yes	complemented
393	#478	C₂²×C₁₃	1	4	yes	complemented
394	#478	C₂²×C₁₃	1	4	yes	complemented
395	#478	C₂²×C₁₃	1	4	yes	complemented
396	#469	C₂²×C₁₃	1	4	yes	complemented
397	#468	C₂²×C₁₃	1	4	yes	complemented
398	#466	C₂²×C₁₃	1	4	yes	complemented
399	#465	C₂²×C₁₃	1	4	yes	complemented
400	#461	C₂²×C₁₃	1	4	yes	complemented
401	#460	C₂²×C₁₃	1	4	yes	—
402	#459	C₂²×C₁₃	1	4	yes	—
403	#459	C₂²×C₁₃	1	4	yes	complemented
404	#450	C₂²×C₁₃	1	4	yes	—
405	#449	C₂²×C₁₃	1	4	yes	complemented
406	#449	C₂²×C₁₃	1	4	yes	complemented
407	#447	C₂²×C₁₃	1	4	yes	—
408	#442	C₂²×C₁₃	1	4	yes	complemented
409	#440	C₂²×C₁₃	1	4	yes	complemented
410	C₄×SD₁₆	C₂²×C₁₃	1	4	yes	complemented
411	C₄×D₈	C₂²×C₁₃	1	4	yes	complemented
412	#433	C₂²×C₁₃	1	2	yes	—
413	#433	C₂²×C₁₃	1	2	yes	complemented
414	#432	C₂²×C₁₃	1	2	yes	—
415	#432	C₂²×C₁₃	1	2	yes	complemented
416	#424	C₂²×C₁₃	1	2	yes	complemented
417	#408	C₂²×C₁₃	1	2	yes	—
418	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
419	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
420	C₂²×C₁₃	—	2	2	no	—
421	C₂²×C₁₃	—	2	2	no	—
422	C₂²×C₁₃	—	2	2	no	—
423	C₂²×C₁₃	—	2	1	no	—
424	C₂²×C₁₃	—	2	1	no	—
425	C₂²×C₁₃	—	2	1	no	—
426	C₂²×C₁₃	—	4	2	no	—
427	C₂²×C₁₃	—	4	4	no	—
428	C₂²×C₁₃	—	4	4	no	—
429	C₂²×C₁₃	—	4	2	no	—
430	C₂²×C₁₃	—	4	2	no	—
431	C₂²×C₁₃	—	4	4	no	—
432	C₂²×C₁₃	—	16	4	no	—
433	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
434	C₄×C₁₃	—	2	2	no	—
435	C₄×C₁₃	—	2	2	no	—
436	C₄×C₁₃	—	2	2	no	—
437	C₄×C₁₃	—	2	2	no	—
438	C₄×C₁₃	—	2	1	no	—
439	C₄×C₁₃	—	2	1	no	—
440	C₄×C₁₃	—	2	1	no	—
441	C₄×C₁₃	—	4	2	no	—
442	C₄×C₁₃	—	4	2	no	—
443	C₄×C₁₃	—	4	4	no	—
444	C₄×C₁₃	—	4	2	no	—
445	C₄×C₁₃	#585	1	2	yes	—
446	C₂×#41	—	2	2	no	—
447	C₂×#41	—	2	2	no	—
448	C₂×#41	C₂³×C₁₃	1	2	yes	—
449	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
450	C₂²×D₄	—	2	2	no	—
451	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
452	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
453	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
454	C₂×D₈	C₂³×C₁₃	1	4	yes	—
455	C₂×D₈	C₂³×C₁₃	1	4	yes	—
456	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
457	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
458	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
459	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
460	#127	—	2	2	no	—
461	#127	—	2	2	no	—
462	#127	C₂³×C₁₃	1	2	yes	—
463	#127	C₂³×C₁₃	1	2	yes	—
464	#127	C₂³×C₁₃	1	1	yes	characteristic
465	#126	—	2	2	no	—
466	#126	—	2	2	no	—
467	#126	—	2	2	no	—
468	#126	—	2	2	no	—
469	#125	—	2	2	no	—
470	#125	—	2	2	no	—
471	#125	—	2	2	no	—
472	#125	C₂³×C₁₃	1	2	yes	—
473	#125	C₂³×C₁₃	1	1	yes	characteristic
474	#125	C₂³×C₁₃	1	1	yes	characteristic
475	#125	C₂³×C₁₃	1	2	yes	—
476	#124	—	2	2	no	—
477	#124	—	2	2	no	—
478	#124	—	2	2	no	—
479	#124	C₂³×C₁₃	1	2	yes	—
480	#123	—	2	2	no	—
481	#123	—	2	2	no	—
482	#123	—	2	4	no	—
483	#123	—	2	4	no	—
484	#123	—	2	2	no	—
485	#123	—	2	2	no	—
486	C₂²⋊Q₈	—	2	2	no	—
487	C₂²⋊Q₈	—	2	2	no	—
488	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
489	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
490	#121	—	2	2	no	—
491	#121	—	2	2	no	—
492	#121	—	2	2	no	—
493	#121	—	2	2	no	—
494	#121	—	2	2	no	—
495	#121	—	2	2	no	—
496	#121	—	2	4	no	—
497	#121	—	2	4	no	—
498	#121	—	2	2	no	—
499	#121	—	2	2	no	—
500	#121	C₂³×C₁₃	1	2	yes	—
501	#121	C₂³×C₁₃	1	2	yes	—
502	#121	C₂³×C₁₃	1	4	yes	—
503	#121	C₂³×C₁₃	1	4	yes	—
504	#120	—	2	2	no	—
505	#120	—	2	2	no	—
506	C₄×Q₈	—	2	2	no	—
507	C₄×Q₈	D₄×C₁₃	1	2	yes	—
508	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
509	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
510	C₄×D₄	—	2	2	no	—
511	C₄×D₄	—	2	2	no	—
512	C₄×D₄	—	2	4	no	—
513	C₄×D₄	—	2	2	no	—
514	C₄×D₄	—	2	2	no	—
515	C₄×D₄	—	2	2	no	—
516	C₄×D₄	—	2	2	no	—
517	C₄×D₄	—	2	2	no	—
518	C₄×D₄	D₄×C₁₃	1	2	yes	—
519	C₄×D₄	D₄×C₁₃	1	2	yes	—
520	C₄×D₄	D₄×C₁₃	1	2	yes	—
521	C₄×D₄	C₂³×C₁₃	1	4	yes	—
522	C₄×D₄	C₂³×C₁₃	1	4	yes	—
523	C₄×D₄	C₂³×C₁₃	1	2	yes	—
524	C₄×D₄	C₂³×C₁₃	1	2	yes	—
525	#117	—	2	2	no	—
526	#117	—	2	2	no	—
527	#117	—	2	2	no	—
528	#117	C₂³×C₁₃	1	2	yes	—
529	#117	C₂³×C₁₃	1	1	yes	characteristic
530	#117	C₂³×C₁₃	1	1	yes	characteristic
531	#117	C₂³×C₁₃	1	1	yes	characteristic
532	C₂×C₄⋊C₄	—	2	2	no	—
533	C₂×C₄⋊C₄	—	2	2	no	—
534	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
535	C₂×C₂²⋊C₄	—	2	4	no	—
536	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
537	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
538	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
539	#107	C₂³×C₁₃	1	4	yes	—
540	#107	C₂³×C₁₃	1	4	yes	—
541	#106	C₂³×C₁₃	1	4	yes	—
542	#106	C₂³×C₁₃	1	4	yes	—
543	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
544	C₄⋊C₈	C₂³×C₁₃	1	4	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	#102	C₂³×C₁₃	1	4	yes	—
552	#102	C₂³×C₁₃	1	4	yes	—
553	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
554	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
555	#97	C₂³×C₁₃	1	2	yes	—
556	#97	C₂³×C₁₃	1	2	yes	—
557	#97	C₂³×C₁₃	1	2	yes	—
558	C₄×C₈	C₂³×C₁₃	1	2	yes	—
559	C₂×C₁₃	—	4	1	no	—
560	C₂×C₁₃	—	4	1	no	—
561	C₂×C₁₃	—	4	1	no	—
562	C₂×C₁₃	—	8	2	no	—
563	C₂×C₁₃	—	8	4	no	—
564	C₂×C₁₃	#3449	1	1	yes	characteristic
565	C₂×C₁₃	#3585	1	2	yes	—
566	C₂⁴	—	2	2	no	—
567	#41	—	4	2	no	—
568	#41	—	4	4	no	—
569	#41	—	8	4	no	—
570	#41	—	8	4	no	—
571	C₂×Q₈	—	2	2	no	—
572	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
573	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
574	C₂×D₄	—	2	2	no	—
575	C₂×D₄	—	2	2	no	—
576	C₂×D₄	—	2	2	no	—
577	C₂×D₄	—	2	4	no	—
578	C₂×D₄	—	2	4	no	—
579	C₂×D₄	—	2	2	no	—
580	C₂×D₄	—	2	2	no	—
581	C₂×D₄	—	2	2	no	—
582	C₂×D₄	—	2	2	no	—
583	C₂×D₄	—	2	4	no	—
584	C₂×D₄	—	4	4	no	—
585	C₂×D₄	—	8	4	no	—
586	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
587	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
588	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
589	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
590	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
591	C₂²×C₄	—	2	2	no	—
592	C₂²×C₄	—	2	2	no	—
593	C₂²×C₄	—	2	4	no	—
594	C₂²×C₄	—	2	4	no	—
595	C₂²×C₄	—	2	2	no	—
596	C₂²×C₄	—	2	2	no	—
597	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
598	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
599	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
600	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
601	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
602	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
603	SD₁₆	—	4	4	no	—
604	SD₁₆	—	4	4	no	—
605	D₈	—	4	4	no	—
606	D₈	—	4	4	no	—
607	M₁₆	—	4	2	no	—
608	C₂×C₈	—	4	2	no	—
609	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
610	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
611	C₄⋊C₄	—	2	2	no	—
612	C₄⋊C₄	—	2	2	no	—
613	C₄⋊C₄	—	2	2	no	—
614	C₄⋊C₄	—	2	2	no	—
615	C₄⋊C₄	—	2	2	no	—
616	C₄⋊C₄	—	2	2	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	C₂×D₄×C₁₃	1	2	yes	—
624	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
625	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
626	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
627	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
628	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
629	C₂²⋊C₄	—	2	2	no	—
630	C₂²⋊C₄	—	2	2	no	—
631	C₂²⋊C₄	—	2	2	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	2	no	—
637	C₂²⋊C₄	—	2	2	no	—
638	C₂²⋊C₄	—	2	2	no	—
639	C₂²⋊C₄	—	2	2	no	—
640	C₂²⋊C₄	—	2	4	no	—
641	C₂²⋊C₄	—	2	4	no	—
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	C₂×D₄×C₁₃	1	2	yes	—
649	C₄²	C₂×D₄×C₁₃	1	2	yes	—
650	C₄²	C₂×D₄×C₁₃	1	2	yes	—
651	C₄²	C₂⁴×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	1	yes	characteristic
655	C₁₃	#61019	1	1	yes	characteristic, direct product factor, Sylow
656	C₂³	—	2	2	no	—
657	C₂³	—	2	4	no	—
658	C₂³	—	4	4	no	—
659	C₂³	—	8	4	no	—
660	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
661	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
662	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
663	Q₈	—	2	4	no	—
664	Q₈	—	4	1	no	—
665	Q₈	—	4	4	no	—
666	D₄	—	2	4	no	—
667	D₄	—	2	4	no	—
668	D₄	—	2	4	no	—
669	D₄	—	4	1	no	—
670	D₄	—	4	1	no	—
671	D₄	—	4	1	no	—
672	D₄	—	4	4	no	—
673	D₄	—	4	4	no	—
674	D₄	—	4	4	no	—
675	D₄	—	4	4	no	—
676	D₄	—	8	4	no	—
677	D₄	—	8	2	no	—
678	D₄	—	8	2	no	—
679	D₄	—	8	2	no	—
680	D₄	—	8	4	no	—
681	D₄	—	8	4	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	—	2	2	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	4	2	no	—
690	C₂×C₄	—	4	2	no	—
691	C₂×C₄	—	4	2	no	—
692	C₂×C₄	—	4	4	no	—
693	C₂×C₄	—	8	2	no	—
694	C₂×C₄	—	8	2	no	—
695	C₂×C₄	—	8	4	no	—
696	C₂×C₄	—	8	4	no	—
697	C₂×C₄	—	8	2	no	—
698	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
699	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
700	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
701	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
702	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
703	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
704	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
705	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
706	C₈	—	2	4	no	—
707	C₈	—	2	4	no	—
708	C₂²	—	2	2	no	—
709	C₂²	—	2	2	no	—
710	C₂²	—	2	2	no	—
711	C₂²	—	2	1	no	—
712	C₂²	—	2	1	no	—
713	C₂²	—	2	1	no	—
714	C₂²	—	4	2	no	—
715	C₂²	—	4	4	no	—
716	C₂²	—	4	4	no	—
717	C₂²	—	4	2	no	—
718	C₂²	—	4	2	no	—
719	C₂²	—	4	4	no	—
720	C₂²	—	16	4	no	—
721	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
722	C₄	—	2	2	no	—
723	C₄	—	2	2	no	—
724	C₄	—	2	2	no	—
725	C₄	—	2	2	no	—
726	C₄	—	2	1	no	—
727	C₄	—	2	1	no	—
728	C₄	—	2	1	no	—
729	C₄	—	4	2	no	—
730	C₄	—	4	2	no	—
731	C₄	—	4	4	no	—
732	C₄	—	4	2	no	—
733	C₄	C₁₃×#585	1	2	yes	—
734	C₂	—	4	1	no	—
735	C₂	—	4	1	no	—
736	C₂	—	4	1	no	—
737	C₂	—	8	4	no	—
738	C₂	—	8	2	no	—
739	C₂	C₁₃×#3449	1	1	yes	characteristic
740	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×#3512	C₂	semidirect
2. C₁₃×#3508	C₂	semidirect
3. C₁₃×#3260	C₂	semidirect
4. C₁₃×#3259	C₂	semidirect
5. C₁₃×#3240	C₂	semidirect
6. C₁₃×#3234	C₂	semidirect
7. C₁₃×#3217	C₂	semidirect
8. C₁₃×#3214	C₂	semidirect
9. C₁₃×#3198	C₂	semidirect
10. C₁₃×#3180	C₂	semidirect
11. C₁₃×#3171	C₂	semidirect
12. C₁₃×#3123	C₂	semidirect
13. C₁₃×#3122	C₂	semidirect
14. C₁₃×#3119	C₂	semidirect
15. C₁₃×#2923	C₂	semidirect
25. C₁₃×#541	C₂²	semidirect
29. C₁₃×#540	C₂²	semidirect
35. C₁₃×#532	C₂²	semidirect
38. C₁₃×#529	C₂²	semidirect
39. C₂×C₁₃×#125	C₂²	semidirect
40. C₁₃×#520	C₂²	semidirect
43. C₁₃×#501	C₂²	semidirect
44. C₁₃×#501	C₂²	semidirect
49. C₁₃×#489	C₂²	semidirect
50. C₁₃×#489	C₂²	semidirect
53. C₁₃×#481	C₂²	semidirect
54. C₁₃×#480	C₂²	semidirect
55. C₁₃×#479	C₂²	semidirect
56. C₁₃×#478	C₂²	semidirect
57. C₁₃×#478	C₂²	semidirect
58. C₁₃×#478	C₂²	semidirect
59. C₁₃×#469	C₂²	semidirect
60. C₁₃×#468	C₂²	semidirect
61. C₁₃×#466	C₂²	semidirect
62. C₁₃×#465	C₂²	semidirect
63. C₁₃×#461	C₂²	semidirect
66. C₁₃×#459	C₂²	semidirect
68. C₁₃×#449	C₂²	semidirect
69. C₁₃×#449	C₂²	semidirect
71. C₁₃×#442	C₂²	semidirect
72. C₁₃×#440	C₂²	semidirect
73. C₄×C₁₃×SD₁₆	C₂²	semidirect
74. C₄×C₁₃×D₈	C₂²	semidirect
76. C₁₃×#433	C₂²	semidirect
78. C₁₃×#432	C₂²	semidirect
79. C₁₃×#424	C₂²	semidirect
81. C₄×C₁₃×M₁₆	C₂²	semidirect
82. C₂×C₁₃×#97	C₂²	semidirect
196. #61019	C₁₃	direct (N × H)
286. #3512	C₂×C₁₃	semidirect
287. #3508	C₂×C₁₃	semidirect
288. #3260	C₂×C₁₃	semidirect
289. #3259	C₂×C₁₃	semidirect
290. #3240	C₂×C₁₃	semidirect
291. #3234	C₂×C₁₃	semidirect
292. #3217	C₂×C₁₃	semidirect
293. #3214	C₂×C₁₃	semidirect
294. #3198	C₂×C₁₃	semidirect
295. #3180	C₂×C₁₃	semidirect
296. #3171	C₂×C₁₃	semidirect
297. #3123	C₂×C₁₃	semidirect
298. #3122	C₂×C₁₃	semidirect
299. #3119	C₂×C₁₃	semidirect
300. #2923	C₂×C₁₃	semidirect
362. #541	C₂²×C₁₃	semidirect
366. #540	C₂²×C₁₃	semidirect
372. #532	C₂²×C₁₃	semidirect
375. #529	C₂²×C₁₃	semidirect
376. C₂×#125	C₂²×C₁₃	semidirect
377. #520	C₂²×C₁₃	semidirect
380. #501	C₂²×C₁₃	semidirect
381. #501	C₂²×C₁₃	semidirect
386. #489	C₂²×C₁₃	semidirect
387. #489	C₂²×C₁₃	semidirect
390. #481	C₂²×C₁₃	semidirect
391. #480	C₂²×C₁₃	semidirect
392. #479	C₂²×C₁₃	semidirect
393. #478	C₂²×C₁₃	semidirect
394. #478	C₂²×C₁₃	semidirect
395. #478	C₂²×C₁₃	semidirect
396. #469	C₂²×C₁₃	semidirect
397. #468	C₂²×C₁₃	semidirect
398. #466	C₂²×C₁₃	semidirect
399. #465	C₂²×C₁₃	semidirect
400. #461	C₂²×C₁₃	semidirect
403. #459	C₂²×C₁₃	semidirect
405. #449	C₂²×C₁₃	semidirect
406. #449	C₂²×C₁₃	semidirect
408. #442	C₂²×C₁₃	semidirect
409. #440	C₂²×C₁₃	semidirect
410. C₄×SD₁₆	C₂²×C₁₃	semidirect
411. C₄×D₈	C₂²×C₁₃	semidirect
413. #433	C₂²×C₁₃	semidirect
415. #432	C₂²×C₁₃	semidirect
416. #424	C₂²×C₁₃	semidirect
418. C₄×M₁₆	C₂²×C₁₃	semidirect
419. C₂×#97	C₂²×C₁₃	semidirect
655. C₁₃	#61019	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×#3512	2
C₁₃×#3508	2
C₁₃×#3260	2
C₁₃×#3259	2
C₁₃×#3240	2
C₁₃×#3234	2
C₁₃×#3217	2
C₁₃×#3214	2
C₁₃×#3198	2
C₁₃×#3180	2
C₁₃×#3171	2
C₁₃×#3123	2
C₁₃×#3122	2
C₁₃×#3119	2
C₁₃×#2923	2
#61019	13

Subgroups — C13×#61019 #15747358

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61019 #15747358