Subgroups — C₁₃×#61910 #15748249

Order 3328.

1816 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3548	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3399	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3397	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3391	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3370	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3366	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3360	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3220	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3214	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3207	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3119	C₂	1	4	yes	maximal, complemented
13	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2985	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#562	—	2	2	no	—
17	C₁₃×#559	C₂²	1	4	yes	—
18	C₁₃×#556	C₂²	1	2	yes	—
19	C₁₃×#555	—	2	1	no	—
20	C₁₃×#554	C₂²	1	2	yes	complemented
21	C₁₃×#554	C₂²	1	2	yes	complemented
22	C₁₃×#553	—	2	2	no	—
23	C₁₃×#550	C₂²	1	2	yes	—
24	C₁₃×#550	C₂²	1	2	yes	complemented
25	C₁₃×#550	C₂²	1	2	yes	complemented
26	C₁₃×#547	—	2	1	no	—
27	C₁₃×#547	—	2	1	no	—
28	C₁₃×#547	—	2	1	no	—
29	C₁₃×#540	C₂²	1	4	yes	—
30	C₁₃×#538	—	2	2	no	—
31	C₁₃×#537	—	2	2	no	—
32	C₁₃×#537	—	2	2	no	—
33	C₁₃×#535	C₂²	1	2	yes	—
34	C₁₃×#533	C₂²	1	1	yes	characteristic
35	C₁₃×#532	C₂²	1	1	yes	characteristic
36	C₁₃×#532	C₂²	1	1	yes	characteristic
37	C₁₃×#532	C₂²	1	1	yes	characteristic
38	C₁₃×#525	—	2	2	no	—
39	C₁₃×#520	C₂²	1	2	yes	—
40	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
41	C₁₃×#496	C₂²	1	4	yes	—
42	C₁₃×#496	C₂²	1	2	yes	complemented
43	C₁₃×#493	C₂²	1	4	yes	—
44	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#490	C₂²	1	4	yes	—
47	C₁₃×#489	C₂²	1	2	yes	complemented
48	C₁₃×#488	C₂²	1	4	yes	—
49	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#481	C₂²	1	2	yes	—
52	C₁₃×#480	C₂²	1	2	yes	—
53	C₁₃×#479	C₂²	1	4	yes	complemented
54	C₁₃×#478	C₂²	1	4	yes	complemented
55	C₁₃×#476	C₂²	1	2	yes	—
56	C₁₃×#474	C₂²	1	2	yes	—
57	C₁₃×#463	C₂²	1	4	yes	—
58	C₁₃×#463	C₂²	1	4	yes	—
59	C₁₃×#463	C₂²	1	4	yes	complemented
60	C₁₃×#461	C₂²	1	2	yes	complemented
61	C₁₃×#460	C₂²	1	4	yes	complemented
62	C₁₃×#459	C₂²	1	2	yes	—
63	C₁₃×#459	C₂²	1	2	yes	—
64	C₁₃×#459	C₂²	1	4	yes	—
65	C₁₃×#459	C₂²	1	4	yes	—
66	C₁₃×#459	C₂²	1	2	yes	complemented
67	C₁₃×#459	C₂²	1	4	yes	complemented
68	C₁₃×#449	C₂²	1	4	yes	—
69	C₁₃×#449	C₂²	1	4	yes	—
70	C₁₃×#447	C₂²	1	2	yes	—
71	C₁₃×#447	C₂²	1	2	yes	—
72	C₁₃×#446	C₂²	1	2	yes	complemented
73	C₁₃×#446	C₂²	1	4	yes	complemented
74	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
75	C₁₃×#442	C₂²	1	4	yes	—
76	C₁₃×#442	C₂²	1	4	yes	complemented
77	C₁₃×#440	C₂²	1	4	yes	complemented
78	C₄×C₁₃×SD₁₆	C₂²	1	4	yes	complemented
79	C₄×C₁₃×D₈	C₂²	1	2	yes	—
80	C₄×C₁₃×D₈	C₂²	1	2	yes	—
81	C₄×C₁₃×D₈	C₂²	1	4	yes	complemented
82	C₁₃×#433	C₂²	1	4	yes	—
83	C₁₃×#432	C₂²	1	1	yes	characteristic
84	C₁₃×#431	C₂²	1	1	yes	characteristic
85	C₂×C₁₃×#41	—	2	2	no	—
86	C₂×C₁₃×#41	—	2	2	no	—
87	C₂×C₁₃×#41	—	2	2	no	—
88	C₂×C₁₃×#41	—	2	1	no	—
89	C₂×C₁₃×#41	—	2	1	no	—
90	C₂×C₁₃×#41	C₂³	1	2	yes	—
91	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
92	C₂³×C₄×C₁₃	—	2	1	no	—
93	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
94	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
95	C₂×C₁₃×D₈	C₂³	1	2	yes	—
96	C₂×C₁₃×D₈	C₂³	1	2	yes	—
97	C₂×C₁₃×D₈	C₂³	1	4	yes	—
98	C₂×C₁₃×D₈	C₂³	1	4	yes	—
99	C₂×C₁₃×D₈	C₂³	1	4	yes	—
100	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
101	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
102	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
103	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
104	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
105	C₁₃×#127	C₂³	1	4	yes	—
106	C₁₃×#127	C₂³	1	1	yes	characteristic
107	C₁₃×#127	C₂³	1	1	yes	characteristic
108	C₁₃×#127	C₂³	1	1	yes	characteristic
109	C₁₃×#127	C₂³	1	4	yes	—
110	C₁₃×#126	—	2	4	no	—
111	C₁₃×#125	D₄	1	2	yes	—
112	C₁₃×#125	C₂³	1	4	yes	—
113	C₁₃×#124	—	2	4	no	—
114	C₁₃×#124	—	2	1	no	—
115	C₁₃×#124	—	2	1	no	—
116	C₁₃×#124	C₂³	1	4	yes	—
117	C₁₃×#124	C₂³	1	2	yes	—
118	C₁₃×#123	—	2	4	no	—
119	C₁₃×#123	—	2	4	no	—
120	C₁₃×#123	—	2	4	no	—
121	C₁₃×#123	—	2	4	no	—
122	C₁₃×C₂²⋊Q₈	—	2	2	no	—
123	C₁₃×C₂²⋊Q₈	—	2	2	no	—
124	C₁₃×C₂²⋊Q₈	—	2	2	no	—
125	C₁₃×C₂²⋊Q₈	—	2	4	no	—
126	C₁₃×C₂²⋊Q₈	—	2	4	no	—
127	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
128	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
129	C₁₃×#121	—	2	1	no	—
130	C₁₃×#121	—	2	1	no	—
131	C₁₃×#121	—	2	1	no	—
132	C₁₃×#121	—	2	1	no	—
133	C₁₃×#121	—	2	2	no	—
134	C₁₃×#121	—	2	2	no	—
135	C₁₃×#121	—	2	2	no	—
136	C₁₃×#121	—	2	2	no	—
137	C₁₃×#121	—	2	2	no	—
138	C₁₃×#121	—	2	4	no	—
139	C₁₃×#121	—	2	4	no	—
140	C₁₃×#121	—	2	4	no	—
141	C₁₃×#121	—	2	4	no	—
142	C₁₃×#121	—	2	4	no	—
143	C₁₃×#121	C₂³	1	2	yes	—
144	C₁₃×#121	C₂³	1	2	yes	—
145	C₁₃×#120	—	2	4	no	—
146	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
147	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
148	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
149	C₄×D₄×C₁₃	—	2	4	no	—
150	C₄×D₄×C₁₃	—	2	4	no	—
151	C₄×D₄×C₁₃	—	2	1	no	—
152	C₄×D₄×C₁₃	—	2	1	no	—
153	C₄×D₄×C₁₃	—	2	1	no	—
154	C₄×D₄×C₁₃	—	2	1	no	—
155	C₄×D₄×C₁₃	—	2	1	no	—
156	C₄×D₄×C₁₃	—	2	1	no	—
157	C₄×D₄×C₁₃	C₂³	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	4	yes	—
161	C₄×D₄×C₁₃	C₂³	1	4	yes	—
162	C₄×D₄×C₁₃	C₂³	1	2	yes	—
163	C₄×D₄×C₁₃	C₂³	1	2	yes	—
164	C₁₃×#117	—	2	2	no	—
165	C₁₃×#117	—	2	2	no	—
166	C₁₃×#117	C₂³	1	2	yes	—
167	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
168	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
169	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
170	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
171	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
172	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
173	C₁₃×#107	C₂³	1	2	yes	—
174	C₁₃×#107	C₂³	1	2	yes	—
175	C₁₃×#106	C₂³	1	4	yes	—
176	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
177	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
178	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
179	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
180	C₁₃×#103	C₂³	1	4	yes	—
181	C₁₃×#103	C₂³	1	4	yes	—
182	C₁₃×#102	C₂³	1	2	yes	—
183	C₁₃×#102	C₂³	1	2	yes	—
184	C₁₃×#102	C₂³	1	2	yes	—
185	C₁₃×#102	C₂³	1	2	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	2	yes	—
191	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
192	C₁₃×#97	C₂³	1	2	yes	—
193	C₁₃×#97	C₂³	1	4	yes	—
194	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
195	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
196	C₄×C₈×C₁₃	C₂³	1	4	yes	—
197	#61910	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
198	C₂⁴×C₁₃	—	2	1	no	—
199	C₁₃×#41	—	4	4	no	—
200	C₁₃×#41	—	8	2	no	—
201	C₁₃×#41	—	8	2	no	—
202	C₁₃×#41	—	8	4	no	—
203	C₁₃×#41	—	8	4	no	—
204	C₁₃×#41	—	8	4	no	—
205	C₂×Q₈×C₁₃	—	2	1	no	—
206	C₂×Q₈×C₁₃	—	2	1	no	—
207	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
208	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
209	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
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	1	no	—
214	C₂×D₄×C₁₃	—	2	1	no	—
215	C₂×D₄×C₁₃	—	2	1	no	—
216	C₂×D₄×C₁₃	—	2	1	no	—
217	C₂×D₄×C₁₃	—	2	4	no	—
218	C₂×D₄×C₁₃	—	2	1	no	—
219	C₂×D₄×C₁₃	—	2	4	no	—
220	C₂×D₄×C₁₃	—	2	4	no	—
221	C₂×D₄×C₁₃	—	2	4	no	—
222	C₂×D₄×C₁₃	—	2	1	no	—
223	C₂×D₄×C₁₃	—	2	1	no	—
224	C₂×D₄×C₁₃	—	4	2	no	—
225	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
226	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
227	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
228	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
229	C₂²×C₄×C₁₃	—	2	1	no	—
230	C₂²×C₄×C₁₃	—	2	2	no	—
231	C₂²×C₄×C₁₃	—	2	2	no	—
232	C₂²×C₄×C₁₃	—	2	2	no	—
233	C₂²×C₄×C₁₃	—	2	2	no	—
234	C₂²×C₄×C₁₃	—	2	4	no	—
235	C₂²×C₄×C₁₃	—	2	4	no	—
236	C₂²×C₄×C₁₃	—	2	4	no	—
237	C₂²×C₄×C₁₃	—	2	2	no	—
238	C₂²×C₄×C₁₃	—	8	2	no	—
239	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
240	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
241	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
242	C₁₃×SD₁₆	—	4	4	no	—
243	C₁₃×SD₁₆	—	4	4	no	—
244	C₁₃×D₈	—	4	4	no	—
245	C₁₃×D₈	—	4	2	no	—
246	C₁₃×D₈	—	4	4	no	—
247	C₁₃×D₈	—	4	4	no	—
248	C₁₃×D₈	—	4	2	no	—
249	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
250	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
251	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
252	C₁₃×C₄⋊C₄	—	2	1	no	—
253	C₁₃×C₄⋊C₄	—	2	1	no	—
254	C₁₃×C₄⋊C₄	—	2	1	no	—
255	C₁₃×C₄⋊C₄	—	2	4	no	—
256	C₁₃×C₄⋊C₄	—	2	4	no	—
257	C₁₃×C₄⋊C₄	—	2	4	no	—
258	C₁₃×C₄⋊C₄	—	2	1	no	—
259	C₁₃×C₄⋊C₄	—	2	1	no	—
260	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
261	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
262	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
263	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
264	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
265	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
266	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
267	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
268	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	no	—
274	C₁₃×C₂²⋊C₄	—	2	4	no	—
275	C₁₃×C₂²⋊C₄	—	2	2	no	—
276	C₁₃×C₂²⋊C₄	—	2	2	no	—
277	C₁₃×C₂²⋊C₄	—	2	2	no	—
278	C₁₃×C₂²⋊C₄	—	2	4	no	—
279	C₁₃×C₂²⋊C₄	—	2	4	no	—
280	C₁₃×C₂²⋊C₄	—	2	2	no	—
281	C₁₃×C₂²⋊C₄	—	2	2	no	—
282	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
283	C₄²×C₁₃	—	2	4	no	—
284	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
285	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
286	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
287	C₄²×C₁₃	C₂⁴	1	4	yes	—
288	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
289	#3548	C₂×C₁₃	1	1	yes	characteristic, complemented
290	#3506	C₂×C₁₃	1	1	yes	characteristic, complemented
291	#3399	C₂×C₁₃	1	4	yes	complemented
292	#3397	C₂×C₁₃	1	2	yes	complemented
293	#3391	C₂×C₁₃	1	2	yes	complemented
294	#3370	C₂×C₁₃	1	4	yes	complemented
295	#3366	C₂×C₁₃	1	2	yes	complemented
296	#3360	C₂×C₁₃	1	2	yes	complemented
297	#3220	C₂×C₁₃	1	4	yes	complemented
298	#3214	C₂×C₁₃	1	1	yes	characteristic, complemented
299	#3207	C₂×C₁₃	1	1	yes	characteristic, complemented
300	#3119	C₂×C₁₃	1	4	yes	complemented
301	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
302	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
303	#2985	C₂×C₁₃	1	1	yes	characteristic, complemented
304	C₂³×C₁₃	—	2	2	no	—
305	C₂³×C₁₃	—	2	2	no	—
306	C₂³×C₁₃	—	2	2	no	—
307	C₂³×C₁₃	—	2	2	no	—
308	C₂³×C₁₃	—	4	2	no	—
309	C₂³×C₁₃	—	8	1	no	—
310	C₂³×C₁₃	—	8	1	no	—
311	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
312	Q₈×C₁₃	—	2	4	no	—
313	Q₈×C₁₃	—	2	4	no	—
314	Q₈×C₁₃	—	4	2	no	—
315	Q₈×C₁₃	—	8	1	no	—
316	Q₈×C₁₃	—	8	1	no	—
317	D₄×C₁₃	—	2	2	no	—
318	D₄×C₁₃	—	2	4	no	—
319	D₄×C₁₃	—	2	2	no	—
320	D₄×C₁₃	—	2	2	no	—
321	D₄×C₁₃	—	2	4	no	—
322	D₄×C₁₃	—	2	2	no	—
323	D₄×C₁₃	—	4	2	no	—
324	D₄×C₁₃	—	4	2	no	—
325	D₄×C₁₃	—	4	4	no	—
326	D₄×C₁₃	—	4	2	no	—
327	D₄×C₁₃	—	4	2	no	—
328	D₄×C₁₃	—	8	1	no	—
329	D₄×C₁₃	—	8	4	no	—
330	D₄×C₁₃	—	8	1	no	—
331	D₄×C₁₃	—	8	4	no	—
332	D₄×C₁₃	—	8	1	no	—
333	D₄×C₁₃	—	8	4	no	—
334	D₄×C₁₃	—	8	4	no	—
335	D₄×C₁₃	—	8	2	no	—
336	D₄×C₁₃	—	8	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	—	4	1	no	—
344	C₂×C₄×C₁₃	—	4	4	no	—
345	C₂×C₄×C₁₃	—	4	4	no	—
346	C₂×C₄×C₁₃	—	4	4	no	—
347	C₂×C₄×C₁₃	—	4	4	no	—
348	C₂×C₄×C₁₃	—	8	2	no	—
349	C₂×C₄×C₁₃	—	8	4	no	—
350	C₂×C₄×C₁₃	—	8	4	no	—
351	C₂×C₄×C₁₃	—	8	4	no	—
352	C₂×C₄×C₁₃	—	8	1	no	—
353	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
354	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
355	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
356	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
357	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
358	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
359	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
360	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
361	C₈×C₁₃	—	2	2	no	—
362	C₈×C₁₃	—	2	4	no	—
363	C₈×C₁₃	—	2	2	no	—
364	#562	—	2	2	no	—
365	#559	C₂²×C₁₃	1	4	yes	—
366	#556	C₂²×C₁₃	1	2	yes	—
367	#555	—	2	1	no	—
368	#554	C₂²×C₁₃	1	2	yes	complemented
369	#554	C₂²×C₁₃	1	2	yes	complemented
370	#553	—	2	2	no	—
371	#550	C₂²×C₁₃	1	2	yes	—
372	#550	C₂²×C₁₃	1	2	yes	complemented
373	#550	C₂²×C₁₃	1	2	yes	complemented
374	#547	—	2	1	no	—
375	#547	—	2	1	no	—
376	#547	—	2	1	no	—
377	#540	C₂²×C₁₃	1	4	yes	—
378	#538	—	2	2	no	—
379	#537	—	2	2	no	—
380	#537	—	2	2	no	—
381	#535	C₂²×C₁₃	1	2	yes	—
382	#533	C₂²×C₁₃	1	1	yes	characteristic
383	#532	C₂²×C₁₃	1	1	yes	characteristic
384	#532	C₂²×C₁₃	1	1	yes	characteristic
385	#532	C₂²×C₁₃	1	1	yes	characteristic
386	#525	—	2	2	no	—
387	#520	C₂²×C₁₃	1	2	yes	—
388	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
389	#496	C₂²×C₁₃	1	4	yes	—
390	#496	C₂²×C₁₃	1	2	yes	complemented
391	#493	C₂²×C₁₃	1	4	yes	—
392	#493	C₂²×C₁₃	1	1	yes	characteristic, complemented
393	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
394	#490	C₂²×C₁₃	1	4	yes	—
395	#489	C₂²×C₁₃	1	2	yes	complemented
396	#488	C₂²×C₁₃	1	4	yes	—
397	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
398	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
399	#481	C₂²×C₁₃	1	2	yes	—
400	#480	C₂²×C₁₃	1	2	yes	—
401	#479	C₂²×C₁₃	1	4	yes	complemented
402	#478	C₂²×C₁₃	1	4	yes	complemented
403	#476	C₂²×C₁₃	1	2	yes	—
404	#474	C₂²×C₁₃	1	2	yes	—
405	#463	C₂²×C₁₃	1	4	yes	—
406	#463	C₂²×C₁₃	1	4	yes	—
407	#463	C₂²×C₁₃	1	4	yes	complemented
408	#461	C₂²×C₁₃	1	2	yes	complemented
409	#460	C₂²×C₁₃	1	4	yes	complemented
410	#459	C₂²×C₁₃	1	2	yes	—
411	#459	C₂²×C₁₃	1	2	yes	—
412	#459	C₂²×C₁₃	1	4	yes	—
413	#459	C₂²×C₁₃	1	4	yes	—
414	#459	C₂²×C₁₃	1	2	yes	complemented
415	#459	C₂²×C₁₃	1	4	yes	complemented
416	#449	C₂²×C₁₃	1	4	yes	—
417	#449	C₂²×C₁₃	1	4	yes	—
418	#447	C₂²×C₁₃	1	2	yes	—
419	#447	C₂²×C₁₃	1	2	yes	—
420	#446	C₂²×C₁₃	1	2	yes	complemented
421	#446	C₂²×C₁₃	1	4	yes	complemented
422	C₈×Q₈	C₂²×C₁₃	1	2	yes	complemented
423	#442	C₂²×C₁₃	1	4	yes	—
424	#442	C₂²×C₁₃	1	4	yes	complemented
425	#440	C₂²×C₁₃	1	4	yes	complemented
426	C₄×SD₁₆	C₂²×C₁₃	1	4	yes	complemented
427	C₄×D₈	C₂²×C₁₃	1	2	yes	—
428	C₄×D₈	C₂²×C₁₃	1	2	yes	—
429	C₄×D₈	C₂²×C₁₃	1	4	yes	complemented
430	#433	C₂²×C₁₃	1	4	yes	—
431	#432	C₂²×C₁₃	1	1	yes	characteristic
432	#431	C₂²×C₁₃	1	1	yes	characteristic
433	C₂²×C₁₃	—	2	1	no	—
434	C₂²×C₁₃	—	2	1	no	—
435	C₂²×C₁₃	—	2	1	no	—
436	C₂²×C₁₃	—	4	2	no	—
437	C₂²×C₁₃	—	4	2	no	—
438	C₂²×C₁₃	—	4	2	no	—
439	C₂²×C₁₃	—	4	2	no	—
440	C₂²×C₁₃	—	4	2	no	—
441	C₂²×C₁₃	—	4	2	no	—
442	C₂²×C₁₃	—	4	2	no	—
443	C₂²×C₁₃	—	4	2	no	—
444	C₂²×C₁₃	—	4	2	no	—
445	C₂²×C₁₃	—	4	2	no	—
446	C₂²×C₁₃	—	4	2	no	—
447	C₂²×C₁₃	—	4	2	no	—
448	C₂²×C₁₃	—	8	4	no	—
449	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
450	C₄×C₁₃	—	2	1	no	—
451	C₄×C₁₃	—	2	1	no	—
452	C₄×C₁₃	—	2	4	no	—
453	C₄×C₁₃	—	2	1	no	—
454	C₄×C₁₃	—	2	1	no	—
455	C₄×C₁₃	—	2	4	no	—
456	C₄×C₁₃	—	4	2	no	—
457	C₄×C₁₃	—	4	2	no	—
458	C₄×C₁₃	—	4	2	no	—
459	C₄×C₁₃	—	4	2	no	—
460	C₄×C₁₃	#576	1	2	yes	—
461	C₄×C₁₃	#585	1	2	yes	—
462	C₂×#41	—	2	2	no	—
463	C₂×#41	—	2	2	no	—
464	C₂×#41	—	2	2	no	—
465	C₂×#41	—	2	1	no	—
466	C₂×#41	—	2	1	no	—
467	C₂×#41	C₂³×C₁₃	1	2	yes	—
468	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
469	C₂³×C₄	—	2	1	no	—
470	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
471	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
472	C₂×D₈	C₂³×C₁₃	1	2	yes	—
473	C₂×D₈	C₂³×C₁₃	1	2	yes	—
474	C₂×D₈	C₂³×C₁₃	1	4	yes	—
475	C₂×D₈	C₂³×C₁₃	1	4	yes	—
476	C₂×D₈	C₂³×C₁₃	1	4	yes	—
477	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
478	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
479	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
480	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
481	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
482	#127	C₂³×C₁₃	1	1	yes	characteristic
483	#127	C₂³×C₁₃	1	1	yes	characteristic
484	#127	C₂³×C₁₃	1	1	yes	characteristic
485	#127	C₂³×C₁₃	1	4	yes	—
486	#127	C₂³×C₁₃	1	4	yes	—
487	#126	—	2	4	no	—
488	#125	D₄×C₁₃	1	2	yes	—
489	#125	C₂³×C₁₃	1	4	yes	—
490	#124	—	2	4	no	—
491	#124	—	2	1	no	—
492	#124	—	2	1	no	—
493	#124	C₂³×C₁₃	1	2	yes	—
494	#124	C₂³×C₁₃	1	4	yes	—
495	#123	—	2	4	no	—
496	#123	—	2	4	no	—
497	#123	—	2	4	no	—
498	#123	—	2	4	no	—
499	C₂²⋊Q₈	—	2	2	no	—
500	C₂²⋊Q₈	—	2	2	no	—
501	C₂²⋊Q₈	—	2	2	no	—
502	C₂²⋊Q₈	—	2	4	no	—
503	C₂²⋊Q₈	—	2	4	no	—
504	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
505	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
506	#121	—	2	1	no	—
507	#121	—	2	1	no	—
508	#121	—	2	1	no	—
509	#121	—	2	1	no	—
510	#121	—	2	2	no	—
511	#121	—	2	2	no	—
512	#121	—	2	2	no	—
513	#121	—	2	2	no	—
514	#121	—	2	2	no	—
515	#121	—	2	4	no	—
516	#121	—	2	4	no	—
517	#121	—	2	4	no	—
518	#121	—	2	4	no	—
519	#121	—	2	4	no	—
520	#121	C₂³×C₁₃	1	2	yes	—
521	#121	C₂³×C₁₃	1	2	yes	—
522	#120	—	2	4	no	—
523	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
524	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
525	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
526	C₄×D₄	—	2	4	no	—
527	C₄×D₄	—	2	4	no	—
528	C₄×D₄	—	2	1	no	—
529	C₄×D₄	—	2	1	no	—
530	C₄×D₄	—	2	1	no	—
531	C₄×D₄	—	2	1	no	—
532	C₄×D₄	—	2	1	no	—
533	C₄×D₄	—	2	1	no	—
534	C₄×D₄	C₂³×C₁₃	1	2	yes	—
535	C₄×D₄	C₂³×C₁₃	1	2	yes	—
536	C₄×D₄	C₂³×C₁₃	1	4	yes	—
537	C₄×D₄	C₂³×C₁₃	1	2	yes	—
538	C₄×D₄	C₂³×C₁₃	1	2	yes	—
539	C₄×D₄	C₂³×C₁₃	1	4	yes	—
540	C₄×D₄	C₂³×C₁₃	1	4	yes	—
541	#117	—	2	2	no	—
542	#117	—	2	2	no	—
543	#117	C₂³×C₁₃	1	2	yes	—
544	C₂×C₄⋊C₄	—	2	2	no	—
545	C₂×C₄⋊C₄	—	2	2	no	—
546	C₂×C₄⋊C₄	—	2	2	no	—
547	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
548	C₂×C₂²⋊C₄	—	2	1	no	—
549	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
550	#107	C₂³×C₁₃	1	2	yes	—
551	#107	C₂³×C₁₃	1	2	yes	—
552	#106	C₂³×C₁₃	1	4	yes	—
553	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
554	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
555	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
556	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
557	#103	C₂³×C₁₃	1	4	yes	—
558	#103	C₂³×C₁₃	1	4	yes	—
559	#102	C₂³×C₁₃	1	2	yes	—
560	#102	C₂³×C₁₃	1	2	yes	—
561	#102	C₂³×C₁₃	1	2	yes	—
562	#102	C₂³×C₁₃	1	2	yes	—
563	#102	C₂³×C₁₃	1	4	yes	—
564	#102	C₂³×C₁₃	1	4	yes	—
565	#102	C₂³×C₁₃	1	4	yes	—
566	#102	C₂³×C₁₃	1	4	yes	—
567	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
568	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
569	#97	C₂³×C₁₃	1	2	yes	—
570	#97	C₂³×C₁₃	1	4	yes	—
571	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
572	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
573	C₄×C₈	C₂³×C₁₃	1	4	yes	—
574	C₂×C₁₃	—	4	1	no	—
575	C₂×C₁₃	—	8	2	no	—
576	C₂×C₁₃	—	8	2	no	—
577	C₂×C₁₃	—	8	2	no	—
578	C₂×C₁₃	—	8	2	no	—
579	C₂×C₁₃	#3487	1	1	yes	characteristic
580	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
581	C₂×C₁₃	#3585	1	1	yes	characteristic
582	C₂⁴	—	2	1	no	—
583	#41	—	4	4	no	—
584	#41	—	8	2	no	—
585	#41	—	8	2	no	—
586	#41	—	8	4	no	—
587	#41	—	8	4	no	—
588	#41	—	8	4	no	—
589	C₂×Q₈	—	2	1	no	—
590	C₂×Q₈	—	2	1	no	—
591	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
592	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
593	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
594	C₂×D₄	—	2	2	no	—
595	C₂×D₄	—	2	2	no	—
596	C₂×D₄	—	2	2	no	—
597	C₂×D₄	—	2	1	no	—
598	C₂×D₄	—	2	1	no	—
599	C₂×D₄	—	2	1	no	—
600	C₂×D₄	—	2	1	no	—
601	C₂×D₄	—	2	4	no	—
602	C₂×D₄	—	2	1	no	—
603	C₂×D₄	—	2	4	no	—
604	C₂×D₄	—	2	4	no	—
605	C₂×D₄	—	2	4	no	—
606	C₂×D₄	—	2	1	no	—
607	C₂×D₄	—	2	1	no	—
608	C₂×D₄	—	4	2	no	—
609	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
610	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
611	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
612	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
613	C₂²×C₄	—	2	1	no	—
614	C₂²×C₄	—	2	2	no	—
615	C₂²×C₄	—	2	2	no	—
616	C₂²×C₄	—	2	2	no	—
617	C₂²×C₄	—	2	2	no	—
618	C₂²×C₄	—	2	4	no	—
619	C₂²×C₄	—	2	4	no	—
620	C₂²×C₄	—	2	4	no	—
621	C₂²×C₄	—	2	2	no	—
622	C₂²×C₄	—	8	2	no	—
623	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
624	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
625	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
626	SD₁₆	—	4	4	no	—
627	SD₁₆	—	4	4	no	—
628	D₈	—	4	4	no	—
629	D₈	—	4	2	no	—
630	D₈	—	4	4	no	—
631	D₈	—	4	4	no	—
632	D₈	—	4	2	no	—
633	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
634	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
635	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
636	C₄⋊C₄	—	2	1	no	—
637	C₄⋊C₄	—	2	1	no	—
638	C₄⋊C₄	—	2	1	no	—
639	C₄⋊C₄	—	2	4	no	—
640	C₄⋊C₄	—	2	4	no	—
641	C₄⋊C₄	—	2	4	no	—
642	C₄⋊C₄	—	2	1	no	—
643	C₄⋊C₄	—	2	1	no	—
644	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
645	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
646	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
647	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
648	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
649	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
650	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
651	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
652	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
653	C₂²⋊C₄	—	2	2	no	—
654	C₂²⋊C₄	—	2	2	no	—
655	C₂²⋊C₄	—	2	4	no	—
656	C₂²⋊C₄	—	2	4	no	—
657	C₂²⋊C₄	—	2	2	no	—
658	C₂²⋊C₄	—	2	4	no	—
659	C₂²⋊C₄	—	2	2	no	—
660	C₂²⋊C₄	—	2	2	no	—
661	C₂²⋊C₄	—	2	2	no	—
662	C₂²⋊C₄	—	2	4	no	—
663	C₂²⋊C₄	—	2	4	no	—
664	C₂²⋊C₄	—	2	2	no	—
665	C₂²⋊C₄	—	2	2	no	—
666	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
667	C₄²	—	2	4	no	—
668	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
669	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
670	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
671	C₄²	C₂⁴×C₁₃	1	4	yes	—
672	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
673	C₁₃	#61910	1	1	yes	characteristic, direct product factor, Sylow
674	C₂³	—	2	2	no	—
675	C₂³	—	2	2	no	—
676	C₂³	—	2	2	no	—
677	C₂³	—	2	2	no	—
678	C₂³	—	4	2	no	—
679	C₂³	—	8	1	no	—
680	C₂³	—	8	1	no	—
681	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
682	Q₈	—	2	4	no	—
683	Q₈	—	2	4	no	—
684	Q₈	—	4	2	no	—
685	Q₈	—	8	1	no	—
686	Q₈	—	8	1	no	—
687	D₄	—	2	2	no	—
688	D₄	—	2	4	no	—
689	D₄	—	2	2	no	—
690	D₄	—	2	2	no	—
691	D₄	—	2	4	no	—
692	D₄	—	2	2	no	—
693	D₄	—	4	2	no	—
694	D₄	—	4	2	no	—
695	D₄	—	4	4	no	—
696	D₄	—	4	2	no	—
697	D₄	—	4	2	no	—
698	D₄	—	8	1	no	—
699	D₄	—	8	4	no	—
700	D₄	—	8	1	no	—
701	D₄	—	8	4	no	—
702	D₄	—	8	4	no	—
703	D₄	—	8	1	no	—
704	D₄	—	8	4	no	—
705	D₄	—	8	2	no	—
706	D₄	—	8	2	no	—
707	C₂×C₄	—	2	2	no	—
708	C₂×C₄	—	2	2	no	—
709	C₂×C₄	—	2	2	no	—
710	C₂×C₄	—	2	2	no	—
711	C₂×C₄	—	2	2	no	—
712	C₂×C₄	—	2	2	no	—
713	C₂×C₄	—	4	1	no	—
714	C₂×C₄	—	4	4	no	—
715	C₂×C₄	—	4	4	no	—
716	C₂×C₄	—	4	4	no	—
717	C₂×C₄	—	4	4	no	—
718	C₂×C₄	—	8	2	no	—
719	C₂×C₄	—	8	4	no	—
720	C₂×C₄	—	8	4	no	—
721	C₂×C₄	—	8	4	no	—
722	C₂×C₄	—	8	1	no	—
723	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
724	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
725	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
726	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
727	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
728	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
729	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
730	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
731	C₈	—	2	2	no	—
732	C₈	—	2	4	no	—
733	C₈	—	2	2	no	—
734	C₂²	—	2	1	no	—
735	C₂²	—	2	1	no	—
736	C₂²	—	2	1	no	—
737	C₂²	—	4	2	no	—
738	C₂²	—	4	2	no	—
739	C₂²	—	4	2	no	—
740	C₂²	—	4	2	no	—
741	C₂²	—	4	2	no	—
742	C₂²	—	4	2	no	—
743	C₂²	—	4	2	no	—
744	C₂²	—	4	2	no	—
745	C₂²	—	4	2	no	—
746	C₂²	—	4	2	no	—
747	C₂²	—	4	2	no	—
748	C₂²	—	4	2	no	—
749	C₂²	—	8	4	no	—
750	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
751	C₄	—	2	1	no	—
752	C₄	—	2	4	no	—
753	C₄	—	2	1	no	—
754	C₄	—	2	1	no	—
755	C₄	—	2	4	no	—
756	C₄	—	2	1	no	—
757	C₄	—	4	2	no	—
758	C₄	—	4	2	no	—
759	C₄	—	4	2	no	—
760	C₄	—	4	2	no	—
761	C₄	C₁₃×#576	1	2	yes	—
762	C₄	C₁₃×#585	1	2	yes	—
763	C₂	—	4	1	no	—
764	C₂	—	8	2	no	—
765	C₂	—	8	2	no	—
766	C₂	—	8	2	no	—
767	C₂	—	8	2	no	—
768	C₂	C₁₃×#3487	1	1	yes	characteristic
769	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
770	C₂	C₁₃×#3585	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×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3548	C₂	semidirect
2. C₁₃×#3506	C₂	semidirect
3. C₁₃×#3399	C₂	semidirect
4. C₁₃×#3397	C₂	semidirect
5. C₁₃×#3391	C₂	semidirect
6. C₁₃×#3370	C₂	semidirect
7. C₁₃×#3366	C₂	semidirect
8. C₁₃×#3360	C₂	semidirect
9. C₁₃×#3220	C₂	semidirect
10. C₁₃×#3214	C₂	semidirect
11. C₁₃×#3207	C₂	semidirect
12. C₁₃×#3119	C₂	semidirect
13. C₁₃×#3109	C₂	semidirect
14. C₁₃×#3100	C₂	semidirect
15. C₁₃×#2985	C₂	semidirect
20. C₁₃×#554	C₂²	semidirect
21. C₁₃×#554	C₂²	semidirect
24. C₁₃×#550	C₂²	semidirect
25. C₁₃×#550	C₂²	semidirect
42. C₁₃×#496	C₂²	semidirect
44. C₁₃×#493	C₂²	semidirect
45. C₁₃×#492	C₂²	semidirect
47. C₁₃×#489	C₂²	semidirect
49. C₁₃×#487	C₂²	semidirect
50. C₁₃×#486	C₂²	semidirect
53. C₁₃×#479	C₂²	semidirect
54. C₁₃×#478	C₂²	semidirect
59. C₁₃×#463	C₂²	semidirect
60. C₁₃×#461	C₂²	semidirect
61. C₁₃×#460	C₂²	semidirect
66. C₁₃×#459	C₂²	semidirect
67. C₁₃×#459	C₂²	semidirect
72. C₁₃×#446	C₂²	semidirect
73. C₁₃×#446	C₂²	semidirect
74. C₈×Q₈×C₁₃	C₂²	semidirect
76. C₁₃×#442	C₂²	semidirect
77. C₁₃×#440	C₂²	semidirect
78. C₄×C₁₃×SD₁₆	C₂²	semidirect
81. C₄×C₁₃×D₈	C₂²	semidirect
197. #61910	C₁₃	direct (N × H)
289. #3548	C₂×C₁₃	semidirect
290. #3506	C₂×C₁₃	semidirect
291. #3399	C₂×C₁₃	semidirect
292. #3397	C₂×C₁₃	semidirect
293. #3391	C₂×C₁₃	semidirect
294. #3370	C₂×C₁₃	semidirect
295. #3366	C₂×C₁₃	semidirect
296. #3360	C₂×C₁₃	semidirect
297. #3220	C₂×C₁₃	semidirect
298. #3214	C₂×C₁₃	semidirect
299. #3207	C₂×C₁₃	semidirect
300. #3119	C₂×C₁₃	semidirect
301. #3109	C₂×C₁₃	semidirect
302. #3100	C₂×C₁₃	semidirect
303. #2985	C₂×C₁₃	semidirect
368. #554	C₂²×C₁₃	semidirect
369. #554	C₂²×C₁₃	semidirect
372. #550	C₂²×C₁₃	semidirect
373. #550	C₂²×C₁₃	semidirect
390. #496	C₂²×C₁₃	semidirect
392. #493	C₂²×C₁₃	semidirect
393. #492	C₂²×C₁₃	semidirect
395. #489	C₂²×C₁₃	semidirect
397. #487	C₂²×C₁₃	semidirect
398. #486	C₂²×C₁₃	semidirect
401. #479	C₂²×C₁₃	semidirect
402. #478	C₂²×C₁₃	semidirect
407. #463	C₂²×C₁₃	semidirect
408. #461	C₂²×C₁₃	semidirect
409. #460	C₂²×C₁₃	semidirect
414. #459	C₂²×C₁₃	semidirect
415. #459	C₂²×C₁₃	semidirect
420. #446	C₂²×C₁₃	semidirect
421. #446	C₂²×C₁₃	semidirect
422. C₈×Q₈	C₂²×C₁₃	semidirect
424. #442	C₂²×C₁₃	semidirect
425. #440	C₂²×C₁₃	semidirect
426. C₄×SD₁₆	C₂²×C₁₃	semidirect
429. C₄×D₈	C₂²×C₁₃	semidirect
673. C₁₃	#61910	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×#3548	2
C₁₃×#3506	2
C₁₃×#3399	2
C₁₃×#3397	2
C₁₃×#3391	2
C₁₃×#3370	2
C₁₃×#3366	2
C₁₃×#3360	2
C₁₃×#3220	2
C₁₃×#3214	2
C₁₃×#3207	2
C₁₃×#3119	2
C₁₃×#3109	2
C₁₃×#3100	2
C₁₃×#2985	2
#61910	13

Subgroups — C13×#61910 #15748249

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61910 #15748249