Subgroups — C₁₃×#62929 #15749268

Order 3328.

6566 conjugacy classes of subgroups.

The subgroup lattice has 1010 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3565	C₂	1	8	yes	maximal, complemented
2	C₁₃×#3561	C₂	1	8	yes	maximal, complemented
3	C₁₃×#3547	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3547	C₂	1	8	yes	maximal, complemented
5	C₁₃×#3544	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3536	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3518	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3511	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3503	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3501	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3495	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3494	C₂	1	4	yes	maximal, complemented
13	C₁₃×#3493	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3475	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₃×#555	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3458	C₂	1	2	yes	maximal, complemented
18	C₁₃×#563	C₂²	1	16	yes	complemented
19	C₁₃×#562	C₂²	1	16	yes	complemented
20	C₁₃×#562	C₂²	1	16	yes	complemented
21	Q₈²×C₁₃	C₂²	1	4	yes	complemented
22	C₁₃×#557	C₂²	1	4	yes	complemented
23	C₁₃×#556	C₂²	1	2	yes	complemented
24	C₁₃×#556	C₂²	1	16	yes	complemented
25	C₁₃×#556	C₂²	1	8	yes	complemented
26	C₁₃×#556	C₂²	1	8	yes	complemented
27	C₁₃×#555	C₂²	1	4	yes	—
28	C₁₃×#555	C₂²	1	4	yes	—
29	C₁₃×#555	C₂²	1	8	yes	—
30	C₁₃×#555	C₂²	1	8	yes	complemented
31	C₁₃×#555	C₂²	1	8	yes	complemented
32	C₁₃×#555	C₂²	1	2	yes	complemented
33	C₁₃×#554	C₂²	1	8	yes	—
34	C₁₃×#554	C₂²	1	2	yes	complemented
35	C₁₃×#554	C₂²	1	4	yes	complemented
36	C₁₃×#554	C₂²	1	8	yes	complemented
37	C₁₃×#554	C₂²	1	4	yes	complemented
38	C₁₃×#553	C₂²	1	4	yes	complemented
39	C₁₃×#553	C₂²	1	8	yes	complemented
40	C₁₃×#553	C₂²	1	8	yes	complemented
41	C₁₃×#553	C₂²	1	8	yes	complemented
42	C₁₃×#552	C₂²	1	4	yes	—
43	C₁₃×#552	C₂²	1	8	yes	complemented
44	C₁₃×#552	C₂²	1	8	yes	complemented
45	C₁₃×#552	C₂²	1	16	yes	complemented
46	C₁₃×#552	C₂²	1	4	yes	complemented
47	C₁₃×#551	C₂²	1	8	yes	—
48	C₁₃×#551	C₂²	1	16	yes	—
49	D₄×Q₈×C₁₃	C₂²	1	8	yes	—
50	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
51	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
52	C₁₃×#548	C₂²	1	8	yes	complemented
53	C₁₃×#548	C₂²	1	16	yes	complemented
54	C₁₃×#547	C₂²	1	8	yes	complemented
55	C₁₃×#547	C₂²	1	8	yes	complemented
56	C₁₃×#547	C₂²	1	2	yes	complemented
57	C₁₃×#546	C₂²	1	4	yes	—
58	C₁₃×#546	C₂²	1	16	yes	—
59	C₁₃×#544	C₂²	1	1	yes	characteristic
60	C₁₃×#544	C₂²	1	2	yes	—
61	C₁₃×#544	C₂²	1	4	yes	—
62	C₁₃×#544	C₂²	1	4	yes	complemented
63	C₁₃×#544	C₂²	1	8	yes	complemented
64	C₁₃×#544	C₂²	1	8	yes	complemented
65	C₁₃×#544	C₂²	1	8	yes	complemented
66	C₁₃×#543	C₂²	1	8	yes	—
67	C₁₃×#543	C₂²	1	4	yes	—
68	C₁₃×#542	C₂²	1	8	yes	complemented
69	C₁₃×#542	C₂²	1	16	yes	complemented
70	C₁₃×#542	C₂²	1	8	yes	complemented
71	C₁₃×#542	C₂²	1	8	yes	complemented
72	C₁₃×#542	C₂²	1	16	yes	complemented
73	C₁₃×#542	C₂²	1	16	yes	complemented
74	C₁₃×#542	C₂²	1	4	yes	complemented
75	C₁₃×#541	C₂²	1	8	yes	complemented
76	C₁₃×#540	C₂²	1	4	yes	complemented
77	C₁₃×#540	C₂²	1	8	yes	complemented
78	C₁₃×#539	C₂²	1	8	yes	complemented
79	C₁₃×#538	C₂²	1	8	yes	—
80	C₁₃×#538	C₂²	1	4	yes	—
81	C₁₃×#537	C₂²	1	1	yes	characteristic
82	C₁₃×#537	C₂²	1	8	yes	complemented
83	C₁₃×#537	C₂²	1	8	yes	complemented
84	C₁₃×#536	C₂²	1	16	yes	complemented
85	C₁₃×#536	C₂²	1	4	yes	complemented
86	C₁₃×#535	C₂²	1	2	yes	—
87	C₁₃×#533	C₂²	1	8	yes	—
88	C₁₃×#533	C₂²	1	2	yes	—
89	C₁₃×#533	C₂²	1	8	yes	complemented
90	C₁₃×#533	C₂²	1	4	yes	complemented
91	C₁₃×#533	C₂²	1	8	yes	complemented
92	C₁₃×#532	C₂²	1	4	yes	complemented
93	C₁₃×#532	C₂²	1	8	yes	complemented
94	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
95	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
96	C₁₃×#529	C₂²	1	8	yes	—
97	C₁₃×#529	C₂²	1	4	yes	complemented
98	C₁₃×#529	C₂²	1	8	yes	complemented
99	C₁₃×#529	C₂²	1	4	yes	complemented
100	C₁₃×#529	C₂²	1	8	yes	complemented
101	C₂×C₁₃×#124	C₂²	1	4	yes	—
102	C₁₃×#525	C₂²	1	4	yes	—
103	C₁₃×#525	C₂²	1	4	yes	—
104	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
105	C₂×C₁₃×#121	C₂²	1	2	yes	—
106	C₂×C₁₃×#121	C₂²	1	2	yes	—
107	C₁₃×#520	C₂²	1	4	yes	—
108	C₁₃×#520	C₂²	1	4	yes	complemented
109	C₁₃×#519	C₂²	1	4	yes	complemented
110	C₁₃×#518	C₂²	1	2	yes	—
111	C₄×C₁₃×#41	C₂²	1	2	yes	—
112	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
113	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
114	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
115	C₂×C₁₃×#117	C₂²	1	2	yes	—
116	C₂×C₁₃×#117	C₂²	1	4	yes	—
117	C₂×C₁₃×#117	C₂²	1	2	yes	—
118	C₂×C₁₃×#41	C₂³	1	2	yes	—
119	C₂×C₁₃×#41	C₂³	1	4	yes	—
120	C₂×C₁₃×#41	C₂³	1	4	yes	—
121	C₂×C₁₃×#41	C₂³	1	16	yes	—
122	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
123	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
124	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
125	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
128	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
129	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
130	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
131	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
132	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
133	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
134	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
135	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
136	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
137	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
138	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
139	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
140	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
141	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
142	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
143	C₁₃×#127	C₂³	1	4	yes	—
144	C₁₃×#126	C₂³	1	16	yes	—
145	C₁₃×#126	C₂³	1	8	yes	—
146	C₁₃×#126	C₂³	1	16	yes	—
147	C₁₃×#126	C₂³	1	8	yes	—
148	C₁₃×#126	C₂³	1	8	yes	—
149	C₁₃×#126	C₂³	1	8	yes	—
150	C₁₃×#126	C₂³	1	16	yes	—
151	C₁₃×#126	C₂³	1	16	yes	—
152	C₁₃×#125	C₂³	1	8	yes	—
153	C₁₃×#125	C₂³	1	4	yes	—
154	C₁₃×#125	C₂³	1	8	yes	—
155	C₁₃×#125	C₂³	1	8	yes	—
156	C₁₃×#125	C₂³	1	4	yes	—
157	C₁₃×#125	C₂³	1	16	yes	—
158	C₁₃×#125	C₂³	1	4	yes	—
159	C₁₃×#125	C₂³	1	8	yes	—
160	C₁₃×#125	C₂³	1	8	yes	—
161	C₁₃×#125	C₂³	1	16	yes	—
162	C₁₃×#124	C₂³	1	16	yes	—
163	C₁₃×#124	C₂³	1	16	yes	—
164	C₁₃×#124	C₂³	1	8	yes	—
165	C₁₃×#124	C₂³	1	4	yes	—
166	C₁₃×#124	C₂³	1	4	yes	—
167	C₁₃×#124	C₂³	1	8	yes	—
168	C₁₃×#124	C₂³	1	8	yes	—
169	C₁₃×#124	C₂³	1	16	yes	—
170	C₁₃×#124	C₂³	1	16	yes	—
171	C₁₃×#124	C₂³	1	16	yes	—
172	C₁₃×#123	C₂³	1	8	yes	—
173	C₁₃×#123	C₂³	1	8	yes	—
174	C₁₃×#123	C₂³	1	8	yes	—
175	C₁₃×#123	C₂³	1	8	yes	—
176	C₁₃×#123	C₂³	1	8	yes	—
177	C₁₃×#123	C₂³	1	16	yes	—
178	C₁₃×#123	C₂³	1	8	yes	—
179	C₁₃×#123	C₂³	1	16	yes	—
180	C₁₃×#123	C₂³	1	16	yes	—
181	C₁₃×#123	C₂³	1	16	yes	—
182	C₁₃×#123	C₂³	1	16	yes	—
183	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
184	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
185	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
186	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
187	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
188	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
189	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
190	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
191	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
192	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
193	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
194	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
195	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
203	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
204	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
205	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
206	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
207	C₁₃×#121	C₂³	1	8	yes	—
208	C₁₃×#121	C₂³	1	8	yes	—
209	C₁₃×#121	C₂³	1	8	yes	—
210	C₁₃×#121	C₂³	1	8	yes	—
211	C₁₃×#121	C₂³	1	4	yes	—
212	C₁₃×#121	C₂³	1	4	yes	—
213	C₁₃×#121	C₂³	1	4	yes	—
214	C₁₃×#121	C₂³	1	4	yes	—
215	C₁₃×#121	C₂³	1	4	yes	—
216	C₁₃×#121	C₂³	1	4	yes	—
217	C₁₃×#121	C₂³	1	8	yes	—
218	C₁₃×#121	C₂³	1	4	yes	—
219	C₁₃×#121	C₂³	1	4	yes	—
220	C₁₃×#121	C₂³	1	16	yes	—
221	C₁₃×#121	C₂³	1	8	yes	—
222	C₁₃×#121	C₂³	1	16	yes	—
223	C₁₃×#121	C₂³	1	16	yes	—
224	C₁₃×#121	C₂³	1	16	yes	—
225	C₁₃×#120	C₂³	1	8	yes	—
226	C₁₃×#120	C₂³	1	8	yes	—
227	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
228	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
229	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
230	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
232	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
233	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
237	C₄×Q₈×C₁₃	C₂³	1	16	yes	—
238	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
239	C₄×D₄×C₁₃	C₂³	1	2	yes	—
240	C₄×D₄×C₁₃	C₂³	1	2	yes	—
241	C₄×D₄×C₁₃	C₂³	1	4	yes	—
242	C₄×D₄×C₁₃	C₂³	1	4	yes	—
243	C₄×D₄×C₁₃	C₂³	1	4	yes	—
244	C₄×D₄×C₁₃	C₂³	1	4	yes	—
245	C₄×D₄×C₁₃	C₂³	1	2	yes	—
246	C₄×D₄×C₁₃	C₂³	1	4	yes	—
247	C₄×D₄×C₁₃	C₂³	1	2	yes	—
248	C₄×D₄×C₁₃	C₂³	1	8	yes	—
249	C₄×D₄×C₁₃	C₂³	1	4	yes	—
250	C₄×D₄×C₁₃	C₂³	1	8	yes	—
251	C₄×D₄×C₁₃	C₂³	1	8	yes	—
252	C₄×D₄×C₁₃	C₂³	1	8	yes	—
253	C₄×D₄×C₁₃	C₂³	1	16	yes	—
254	C₄×D₄×C₁₃	C₂³	1	8	yes	—
255	C₄×D₄×C₁₃	C₂³	1	8	yes	—
256	C₄×D₄×C₁₃	C₂³	1	16	yes	—
257	C₄×D₄×C₁₃	C₂³	1	8	yes	—
258	C₄×D₄×C₁₃	C₂³	1	8	yes	—
259	C₄×D₄×C₁₃	C₂³	1	16	yes	—
260	C₁₃×#117	C₂³	1	2	yes	—
261	C₁₃×#117	C₂³	1	4	yes	—
262	C₁₃×#117	C₂³	1	4	yes	—
263	C₁₃×#117	C₂³	1	8	yes	—
264	C₁₃×#117	C₂³	1	8	yes	—
265	C₁₃×#117	C₂³	1	4	yes	—
266	C₁₃×#117	C₂³	1	8	yes	—
267	C₁₃×#117	C₂³	1	4	yes	—
268	C₁₃×#117	C₂³	1	4	yes	—
269	C₁₃×#117	C₂³	1	8	yes	—
270	C₁₃×#117	C₂³	1	8	yes	—
271	C₁₃×#117	C₂³	1	4	yes	—
272	C₁₃×#117	C₂³	1	4	yes	—
273	C₁₃×#117	C₂³	1	8	yes	—
274	C₁₃×#117	C₂³	1	4	yes	—
275	C₁₃×#117	C₂³	1	16	yes	—
276	C₁₃×#117	C₂³	1	8	yes	—
277	C₁₃×#117	C₂³	1	16	yes	—
278	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
281	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
282	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
283	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
284	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
285	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
286	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
287	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
288	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
289	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
290	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
291	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
292	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
293	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
294	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
295	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
296	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
298	#62929	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
299	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
300	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
301	C₁₃×#41	—	2	8	no	—
302	C₁₃×#41	—	4	8	no	—
303	C₁₃×#41	—	4	8	no	—
304	C₁₃×#41	—	8	16	no	—
305	C₂×Q₈×C₁₃	—	4	8	no	—
306	C₂×Q₈×C₁₃	—	8	2	no	—
307	C₂×Q₈×C₁₃	—	8	8	no	—
308	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
309	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
310	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
311	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
312	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
313	C₂×Q₈×C₁₃	C₂⁴	1	16	yes	—
314	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
315	C₂×D₄×C₁₃	—	2	4	no	—
316	C₂×D₄×C₁₃	—	4	2	no	—
317	C₂×D₄×C₁₃	—	8	4	no	—
318	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
319	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
320	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
321	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
322	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
323	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
324	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
325	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
326	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
327	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
328	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
329	C₂²×C₄×C₁₃	—	2	8	no	—
330	C₂²×C₄×C₁₃	—	4	4	no	—
331	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
332	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
333	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
335	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
336	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
337	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
338	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
341	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
342	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
343	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
344	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
345	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
346	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
347	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
348	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
350	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
351	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
352	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
353	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
354	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
355	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
356	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
357	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
358	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
359	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
360	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
361	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
362	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
363	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
364	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
365	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
366	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
367	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
368	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
369	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
370	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
371	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
372	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
373	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
374	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
375	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
376	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
377	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
378	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
379	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
380	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
381	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
382	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
383	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
384	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
385	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
386	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
387	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
388	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
389	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
390	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
391	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
392	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
393	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
394	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
395	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
396	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
397	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
398	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
399	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
400	C₄²×C₁₃	C₂⁴	1	4	yes	—
401	C₄²×C₁₃	C₂⁴	1	2	yes	—
402	C₄²×C₁₃	C₂⁴	1	8	yes	—
403	C₄²×C₁₃	C₂⁴	1	8	yes	—
404	C₄²×C₁₃	C₂⁴	1	8	yes	—
405	C₄²×C₁₃	C₂⁴	1	8	yes	—
406	C₄²×C₁₃	C₂⁴	1	2	yes	—
407	C₄²×C₁₃	C₂⁴	1	8	yes	—
408	C₄²×C₁₃	C₂⁴	1	4	yes	—
409	C₄²×C₁₃	C₂⁴	1	4	yes	—
410	C₄²×C₁₃	C₂⁴	1	16	yes	—
411	#3565	C₂×C₁₃	1	8	yes	complemented
412	#3561	C₂×C₁₃	1	8	yes	complemented
413	#3547	C₂×C₁₃	1	4	yes	complemented
414	#3547	C₂×C₁₃	1	8	yes	complemented
415	#3544	C₂×C₁₃	1	4	yes	complemented
416	#3536	C₂×C₁₃	1	4	yes	complemented
417	#3518	C₂×C₁₃	1	4	yes	complemented
418	#3511	C₂×C₁₃	1	4	yes	complemented
419	#3503	C₂×C₁₃	1	2	yes	complemented
420	#3501	C₂×C₁₃	1	1	yes	characteristic, complemented
421	#3495	C₂×C₁₃	1	4	yes	complemented
422	#3494	C₂×C₁₃	1	4	yes	complemented
423	#3493	C₂×C₁₃	1	2	yes	complemented
424	#3475	C₂×C₁₃	1	2	yes	complemented
425	C₂×#555	C₂×C₁₃	1	1	yes	characteristic, complemented
426	#3460	C₂×C₁₃	1	1	yes	characteristic, complemented
427	#3458	C₂×C₁₃	1	2	yes	complemented
428	C₂³×C₁₃	—	2	4	no	—
429	C₂³×C₁₃	—	2	4	no	—
430	C₂³×C₁₃	—	4	2	no	—
431	C₂³×C₁₃	—	4	2	no	—
432	C₂³×C₁₃	—	4	2	no	—
433	C₂³×C₁₃	—	4	2	no	—
434	C₂³×C₁₃	C₂⁵	1	4	yes	—
435	C₂³×C₁₃	C₂⁵	1	4	yes	—
436	C₂³×C₁₃	C₂⁵	1	4	yes	—
437	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
438	Q₈×C₁₃	—	2	4	no	—
439	Q₈×C₁₃	—	2	8	no	—
440	Q₈×C₁₃	—	4	8	no	—
441	Q₈×C₁₃	—	4	4	no	—
442	Q₈×C₁₃	—	4	8	no	—
443	Q₈×C₁₃	—	4	16	no	—
444	Q₈×C₁₃	—	4	4	no	—
445	D₄×C₁₃	—	2	8	no	—
446	D₄×C₁₃	—	2	8	no	—
447	D₄×C₁₃	—	2	4	no	—
448	D₄×C₁₃	—	2	4	no	—
449	D₄×C₁₃	—	4	2	no	—
450	D₄×C₁₃	—	4	16	no	—
451	D₄×C₁₃	—	4	8	no	—
452	D₄×C₁₃	—	4	4	no	—
453	D₄×C₁₃	—	4	8	no	—
454	D₄×C₁₃	—	4	8	no	—
455	D₄×C₁₃	—	4	8	no	—
456	C₂×C₄×C₁₃	—	2	4	no	—
457	C₂×C₄×C₁₃	—	2	8	no	—
458	C₂×C₄×C₁₃	—	2	8	no	—
459	C₂×C₄×C₁₃	—	2	8	no	—
460	C₂×C₄×C₁₃	—	2	2	no	—
461	C₂×C₄×C₁₃	—	2	8	no	—
462	C₂×C₄×C₁₃	—	2	8	no	—
463	C₂×C₄×C₁₃	—	4	4	no	—
464	C₂×C₄×C₁₃	—	4	2	no	—
465	C₂×C₄×C₁₃	—	4	4	no	—
466	C₂×C₄×C₁₃	—	4	8	no	—
467	C₂×C₄×C₁₃	—	4	4	no	—
468	C₂×C₄×C₁₃	—	4	1	no	—
469	C₂×C₄×C₁₃	—	4	16	no	—
470	C₂×C₄×C₁₃	—	4	8	no	—
471	C₂×C₄×C₁₃	—	4	8	no	—
472	C₂×C₄×C₁₃	—	4	8	no	—
473	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
474	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
475	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
476	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
477	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
478	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
479	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
480	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
481	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
482	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
483	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
484	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
485	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
486	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
487	#563	C₂²×C₁₃	1	16	yes	complemented
488	#562	C₂²×C₁₃	1	16	yes	complemented
489	#562	C₂²×C₁₃	1	16	yes	complemented
490	Q₈²	C₂²×C₁₃	1	4	yes	complemented
491	#557	C₂²×C₁₃	1	4	yes	complemented
492	#556	C₂²×C₁₃	1	2	yes	complemented
493	#556	C₂²×C₁₃	1	8	yes	complemented
494	#556	C₂²×C₁₃	1	8	yes	complemented
495	#556	C₂²×C₁₃	1	16	yes	complemented
496	#555	C₂²×C₁₃	1	4	yes	—
497	#555	C₂²×C₁₃	1	4	yes	—
498	#555	C₂²×C₁₃	1	8	yes	—
499	#555	C₂²×C₁₃	1	2	yes	complemented
500	#555	C₂²×C₁₃	1	8	yes	complemented
501	#555	C₂²×C₁₃	1	8	yes	complemented
502	#554	C₂²×C₁₃	1	8	yes	—
503	#554	C₂²×C₁₃	1	2	yes	complemented
504	#554	C₂²×C₁₃	1	4	yes	complemented
505	#554	C₂²×C₁₃	1	8	yes	complemented
506	#554	C₂²×C₁₃	1	4	yes	complemented
507	#553	C₂²×C₁₃	1	4	yes	complemented
508	#553	C₂²×C₁₃	1	8	yes	complemented
509	#553	C₂²×C₁₃	1	8	yes	complemented
510	#553	C₂²×C₁₃	1	8	yes	complemented
511	#552	C₂²×C₁₃	1	4	yes	—
512	#552	C₂²×C₁₃	1	4	yes	complemented
513	#552	C₂²×C₁₃	1	8	yes	complemented
514	#552	C₂²×C₁₃	1	8	yes	complemented
515	#552	C₂²×C₁₃	1	16	yes	complemented
516	#551	C₂²×C₁₃	1	8	yes	—
517	#551	C₂²×C₁₃	1	16	yes	—
518	D₄×Q₈	C₂²×C₁₃	1	8	yes	—
519	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
520	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
521	#548	C₂²×C₁₃	1	16	yes	complemented
522	#548	C₂²×C₁₃	1	8	yes	complemented
523	#547	C₂²×C₁₃	1	2	yes	complemented
524	#547	C₂²×C₁₃	1	8	yes	complemented
525	#547	C₂²×C₁₃	1	8	yes	complemented
526	#546	C₂²×C₁₃	1	4	yes	—
527	#546	C₂²×C₁₃	1	16	yes	—
528	#544	C₂²×C₁₃	1	1	yes	characteristic
529	#544	C₂²×C₁₃	1	2	yes	—
530	#544	C₂²×C₁₃	1	4	yes	—
531	#544	C₂²×C₁₃	1	8	yes	complemented
532	#544	C₂²×C₁₃	1	8	yes	complemented
533	#544	C₂²×C₁₃	1	4	yes	complemented
534	#544	C₂²×C₁₃	1	8	yes	complemented
535	#543	C₂²×C₁₃	1	8	yes	—
536	#543	C₂²×C₁₃	1	4	yes	—
537	#542	C₂²×C₁₃	1	4	yes	complemented
538	#542	C₂²×C₁₃	1	8	yes	complemented
539	#542	C₂²×C₁₃	1	8	yes	complemented
540	#542	C₂²×C₁₃	1	16	yes	complemented
541	#542	C₂²×C₁₃	1	8	yes	complemented
542	#542	C₂²×C₁₃	1	16	yes	complemented
543	#542	C₂²×C₁₃	1	16	yes	complemented
544	#541	C₂²×C₁₃	1	8	yes	complemented
545	#540	C₂²×C₁₃	1	4	yes	complemented
546	#540	C₂²×C₁₃	1	8	yes	complemented
547	#539	C₂²×C₁₃	1	8	yes	complemented
548	#538	C₂²×C₁₃	1	4	yes	—
549	#538	C₂²×C₁₃	1	8	yes	—
550	#537	C₂²×C₁₃	1	1	yes	characteristic
551	#537	C₂²×C₁₃	1	8	yes	complemented
552	#537	C₂²×C₁₃	1	8	yes	complemented
553	#536	C₂²×C₁₃	1	4	yes	complemented
554	#536	C₂²×C₁₃	1	16	yes	complemented
555	#535	C₂²×C₁₃	1	2	yes	—
556	#533	C₂²×C₁₃	1	8	yes	—
557	#533	C₂²×C₁₃	1	2	yes	—
558	#533	C₂²×C₁₃	1	8	yes	complemented
559	#533	C₂²×C₁₃	1	8	yes	complemented
560	#533	C₂²×C₁₃	1	4	yes	complemented
561	#532	C₂²×C₁₃	1	4	yes	complemented
562	#532	C₂²×C₁₃	1	8	yes	complemented
563	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
564	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
565	#529	C₂²×C₁₃	1	8	yes	—
566	#529	C₂²×C₁₃	1	4	yes	complemented
567	#529	C₂²×C₁₃	1	4	yes	complemented
568	#529	C₂²×C₁₃	1	8	yes	complemented
569	#529	C₂²×C₁₃	1	8	yes	complemented
570	C₂×#124	C₂²×C₁₃	1	4	yes	—
571	#525	C₂²×C₁₃	1	4	yes	—
572	#525	C₂²×C₁₃	1	4	yes	—
573	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
574	C₂×#121	C₂²×C₁₃	1	2	yes	—
575	C₂×#121	C₂²×C₁₃	1	2	yes	—
576	#520	C₂²×C₁₃	1	4	yes	—
577	#520	C₂²×C₁₃	1	4	yes	complemented
578	#519	C₂²×C₁₃	1	4	yes	complemented
579	#518	C₂²×C₁₃	1	2	yes	—
580	C₄×#41	C₂²×C₁₃	1	2	yes	—
581	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
582	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
583	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
584	C₂×#117	C₂²×C₁₃	1	2	yes	—
585	C₂×#117	C₂²×C₁₃	1	4	yes	—
586	C₂×#117	C₂²×C₁₃	1	2	yes	—
587	C₂²×C₁₃	—	2	1	no	—
588	C₂²×C₁₃	—	2	1	no	—
589	C₂²×C₁₃	—	2	4	no	—
590	C₂²×C₁₃	—	2	4	no	—
591	C₂²×C₁₃	—	2	4	no	—
592	C₂²×C₁₃	—	2	4	no	—
593	C₂²×C₁₃	—	2	4	no	—
594	C₂²×C₁₃	—	2	4	no	—
595	C₂²×C₁₃	—	2	4	no	—
596	C₂²×C₁₃	—	2	4	no	—
597	C₂²×C₁₃	—	2	4	no	—
598	C₂²×C₁₃	—	8	4	no	—
599	C₂²×C₁₃	—	8	4	no	—
600	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
601	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
602	C₄×C₁₃	—	2	2	no	—
603	C₄×C₁₃	—	2	2	no	—
604	C₄×C₁₃	—	2	4	no	—
605	C₄×C₁₃	—	2	1	no	—
606	C₄×C₁₃	—	2	4	no	—
607	C₄×C₁₃	—	2	4	no	—
608	C₄×C₁₃	—	2	8	no	—
609	C₄×C₁₃	—	2	8	no	—
610	C₄×C₁₃	—	2	8	no	—
611	C₄×C₁₃	—	2	4	no	—
612	C₄×C₁₃	—	2	2	no	—
613	C₄×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
614	C₄×C₁₃	#585	1	2	yes	—
615	C₂×#41	C₂³×C₁₃	1	2	yes	—
616	C₂×#41	C₂³×C₁₃	1	4	yes	—
617	C₂×#41	C₂³×C₁₃	1	4	yes	—
618	C₂×#41	C₂³×C₁₃	1	16	yes	—
619	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
620	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
621	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
622	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
623	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
624	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
625	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
626	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
627	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
628	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
629	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
630	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
631	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
632	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
633	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
634	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
635	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
636	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
637	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
638	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
639	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
640	#127	C₂³×C₁₃	1	4	yes	—
641	#126	C₂³×C₁₃	1	16	yes	—
642	#126	C₂³×C₁₃	1	8	yes	—
643	#126	C₂³×C₁₃	1	16	yes	—
644	#126	C₂³×C₁₃	1	8	yes	—
645	#126	C₂³×C₁₃	1	8	yes	—
646	#126	C₂³×C₁₃	1	8	yes	—
647	#126	C₂³×C₁₃	1	16	yes	—
648	#126	C₂³×C₁₃	1	16	yes	—
649	#125	C₂³×C₁₃	1	8	yes	—
650	#125	C₂³×C₁₃	1	4	yes	—
651	#125	C₂³×C₁₃	1	8	yes	—
652	#125	C₂³×C₁₃	1	8	yes	—
653	#125	C₂³×C₁₃	1	4	yes	—
654	#125	C₂³×C₁₃	1	16	yes	—
655	#125	C₂³×C₁₃	1	4	yes	—
656	#125	C₂³×C₁₃	1	8	yes	—
657	#125	C₂³×C₁₃	1	8	yes	—
658	#125	C₂³×C₁₃	1	16	yes	—
659	#124	C₂³×C₁₃	1	16	yes	—
660	#124	C₂³×C₁₃	1	16	yes	—
661	#124	C₂³×C₁₃	1	8	yes	—
662	#124	C₂³×C₁₃	1	4	yes	—
663	#124	C₂³×C₁₃	1	4	yes	—
664	#124	C₂³×C₁₃	1	8	yes	—
665	#124	C₂³×C₁₃	1	8	yes	—
666	#124	C₂³×C₁₃	1	16	yes	—
667	#124	C₂³×C₁₃	1	16	yes	—
668	#124	C₂³×C₁₃	1	16	yes	—
669	#123	C₂³×C₁₃	1	8	yes	—
670	#123	C₂³×C₁₃	1	8	yes	—
671	#123	C₂³×C₁₃	1	8	yes	—
672	#123	C₂³×C₁₃	1	8	yes	—
673	#123	C₂³×C₁₃	1	8	yes	—
674	#123	C₂³×C₁₃	1	16	yes	—
675	#123	C₂³×C₁₃	1	8	yes	—
676	#123	C₂³×C₁₃	1	16	yes	—
677	#123	C₂³×C₁₃	1	16	yes	—
678	#123	C₂³×C₁₃	1	16	yes	—
679	#123	C₂³×C₁₃	1	16	yes	—
680	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
681	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
682	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
683	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
684	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
685	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
686	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
687	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
688	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
689	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
690	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
691	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
692	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
693	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
694	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
695	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
696	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
697	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
698	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
699	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
700	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
701	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
702	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
703	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
704	#121	C₂³×C₁₃	1	8	yes	—
705	#121	C₂³×C₁₃	1	8	yes	—
706	#121	C₂³×C₁₃	1	8	yes	—
707	#121	C₂³×C₁₃	1	8	yes	—
708	#121	C₂³×C₁₃	1	4	yes	—
709	#121	C₂³×C₁₃	1	4	yes	—
710	#121	C₂³×C₁₃	1	4	yes	—
711	#121	C₂³×C₁₃	1	4	yes	—
712	#121	C₂³×C₁₃	1	4	yes	—
713	#121	C₂³×C₁₃	1	4	yes	—
714	#121	C₂³×C₁₃	1	8	yes	—
715	#121	C₂³×C₁₃	1	4	yes	—
716	#121	C₂³×C₁₃	1	4	yes	—
717	#121	C₂³×C₁₃	1	16	yes	—
718	#121	C₂³×C₁₃	1	8	yes	—
719	#121	C₂³×C₁₃	1	16	yes	—
720	#121	C₂³×C₁₃	1	16	yes	—
721	#121	C₂³×C₁₃	1	16	yes	—
722	#120	C₂³×C₁₃	1	8	yes	—
723	#120	C₂³×C₁₃	1	8	yes	—
724	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
725	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
726	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
727	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
728	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
729	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
730	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
731	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
732	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
733	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
734	C₄×Q₈	C₂³×C₁₃	1	16	yes	—
735	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
736	C₄×D₄	C₂³×C₁₃	1	2	yes	—
737	C₄×D₄	C₂³×C₁₃	1	2	yes	—
738	C₄×D₄	C₂³×C₁₃	1	4	yes	—
739	C₄×D₄	C₂³×C₁₃	1	4	yes	—
740	C₄×D₄	C₂³×C₁₃	1	4	yes	—
741	C₄×D₄	C₂³×C₁₃	1	4	yes	—
742	C₄×D₄	C₂³×C₁₃	1	2	yes	—
743	C₄×D₄	C₂³×C₁₃	1	4	yes	—
744	C₄×D₄	C₂³×C₁₃	1	2	yes	—
745	C₄×D₄	C₂³×C₁₃	1	8	yes	—
746	C₄×D₄	C₂³×C₁₃	1	4	yes	—
747	C₄×D₄	C₂³×C₁₃	1	8	yes	—
748	C₄×D₄	C₂³×C₁₃	1	8	yes	—
749	C₄×D₄	C₂³×C₁₃	1	8	yes	—
750	C₄×D₄	C₂³×C₁₃	1	16	yes	—
751	C₄×D₄	C₂³×C₁₃	1	8	yes	—
752	C₄×D₄	C₂³×C₁₃	1	8	yes	—
753	C₄×D₄	C₂³×C₁₃	1	16	yes	—
754	C₄×D₄	C₂³×C₁₃	1	8	yes	—
755	C₄×D₄	C₂³×C₁₃	1	8	yes	—
756	C₄×D₄	C₂³×C₁₃	1	16	yes	—
757	#117	C₂³×C₁₃	1	2	yes	—
758	#117	C₂³×C₁₃	1	4	yes	—
759	#117	C₂³×C₁₃	1	4	yes	—
760	#117	C₂³×C₁₃	1	8	yes	—
761	#117	C₂³×C₁₃	1	8	yes	—
762	#117	C₂³×C₁₃	1	4	yes	—
763	#117	C₂³×C₁₃	1	8	yes	—
764	#117	C₂³×C₁₃	1	4	yes	—
765	#117	C₂³×C₁₃	1	4	yes	—
766	#117	C₂³×C₁₃	1	8	yes	—
767	#117	C₂³×C₁₃	1	8	yes	—
768	#117	C₂³×C₁₃	1	4	yes	—
769	#117	C₂³×C₁₃	1	4	yes	—
770	#117	C₂³×C₁₃	1	8	yes	—
771	#117	C₂³×C₁₃	1	4	yes	—
772	#117	C₂³×C₁₃	1	16	yes	—
773	#117	C₂³×C₁₃	1	8	yes	—
774	#117	C₂³×C₁₃	1	16	yes	—
775	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
778	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
779	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
780	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
781	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
782	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
783	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
784	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
785	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
786	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
787	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
788	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
789	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
790	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
791	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
792	C₂×C₄²	C₂³×C₁₃	1	8	yes	—
793	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
794	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
795	C₂×C₁₃	—	2	2	no	—
796	C₂×C₁₃	—	4	4	no	—
797	C₂×C₁₃	—	4	4	no	—
798	C₂×C₁₃	—	4	4	no	—
799	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
800	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
801	C₂×C₁₃	H(7,𝔽₂)	1	1	yes	characteristic
802	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
803	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
804	#41	—	2	8	no	—
805	#41	—	4	8	no	—
806	#41	—	4	8	no	—
807	#41	—	8	16	no	—
808	C₂×Q₈	—	4	8	no	—
809	C₂×Q₈	—	8	2	no	—
810	C₂×Q₈	—	8	8	no	—
811	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
812	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
813	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
814	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
815	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
816	C₂×Q₈	C₂⁴×C₁₃	1	16	yes	—
817	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
818	C₂×D₄	—	2	4	no	—
819	C₂×D₄	—	4	2	no	—
820	C₂×D₄	—	8	4	no	—
821	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
822	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
823	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
824	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
825	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
826	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
827	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
828	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
829	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
830	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
831	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
832	C₂²×C₄	—	2	8	no	—
833	C₂²×C₄	—	4	4	no	—
834	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
835	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
836	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
837	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
838	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
839	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
840	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
841	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
842	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
843	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
844	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
845	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
846	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
847	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
848	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
849	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
850	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
851	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
852	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
853	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
854	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
855	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
856	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
857	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
858	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
859	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
860	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
861	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
862	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
863	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
864	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
865	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
866	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
867	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
868	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
869	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
870	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
871	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
872	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
873	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
874	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
875	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
876	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
877	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
878	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
879	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
880	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
881	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
882	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
883	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
884	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
885	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
886	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
887	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
888	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
889	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
890	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
891	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
892	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
893	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
894	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
895	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
896	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
897	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
898	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
899	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
900	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
901	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
902	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
903	C₄²	C₂⁴×C₁₃	1	4	yes	—
904	C₄²	C₂⁴×C₁₃	1	2	yes	—
905	C₄²	C₂⁴×C₁₃	1	8	yes	—
906	C₄²	C₂⁴×C₁₃	1	8	yes	—
907	C₄²	C₂⁴×C₁₃	1	8	yes	—
908	C₄²	C₂⁴×C₁₃	1	8	yes	—
909	C₄²	C₂⁴×C₁₃	1	2	yes	—
910	C₄²	C₂⁴×C₁₃	1	8	yes	—
911	C₄²	C₂⁴×C₁₃	1	4	yes	—
912	C₄²	C₂⁴×C₁₃	1	4	yes	—
913	C₄²	C₂⁴×C₁₃	1	16	yes	—
914	C₁₃	#62929	1	1	yes	characteristic, direct product factor, Sylow
915	C₂³	—	2	4	no	—
916	C₂³	—	2	4	no	—
917	C₂³	—	4	2	no	—
918	C₂³	—	4	2	no	—
919	C₂³	—	4	2	no	—
920	C₂³	—	4	2	no	—
921	C₂³	C₂⁵×C₁₃	1	4	yes	—
922	C₂³	C₂⁵×C₁₃	1	4	yes	—
923	C₂³	C₂⁵×C₁₃	1	4	yes	—
924	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
925	Q₈	—	2	4	no	—
926	Q₈	—	2	8	no	—
927	Q₈	—	4	8	no	—
928	Q₈	—	4	4	no	—
929	Q₈	—	4	8	no	—
930	Q₈	—	4	16	no	—
931	Q₈	—	4	4	no	—
932	D₄	—	2	8	no	—
933	D₄	—	2	8	no	—
934	D₄	—	2	4	no	—
935	D₄	—	2	4	no	—
936	D₄	—	4	2	no	—
937	D₄	—	4	16	no	—
938	D₄	—	4	8	no	—
939	D₄	—	4	4	no	—
940	D₄	—	4	8	no	—
941	D₄	—	4	8	no	—
942	D₄	—	4	8	no	—
943	C₂×C₄	—	2	4	no	—
944	C₂×C₄	—	2	8	no	—
945	C₂×C₄	—	2	8	no	—
946	C₂×C₄	—	2	8	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	8	no	—
949	C₂×C₄	—	2	8	no	—
950	C₂×C₄	—	4	4	no	—
951	C₂×C₄	—	4	2	no	—
952	C₂×C₄	—	4	4	no	—
953	C₂×C₄	—	4	8	no	—
954	C₂×C₄	—	4	4	no	—
955	C₂×C₄	—	4	1	no	—
956	C₂×C₄	—	4	16	no	—
957	C₂×C₄	—	4	8	no	—
958	C₂×C₄	—	4	8	no	—
959	C₂×C₄	—	4	8	no	—
960	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
961	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
962	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
963	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
964	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
965	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
966	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
967	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
968	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
969	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
970	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
971	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
972	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
973	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
974	C₂²	—	2	1	no	—
975	C₂²	—	2	1	no	—
976	C₂²	—	2	4	no	—
977	C₂²	—	2	4	no	—
978	C₂²	—	2	4	no	—
979	C₂²	—	2	4	no	—
980	C₂²	—	2	4	no	—
981	C₂²	—	2	4	no	—
982	C₂²	—	2	4	no	—
983	C₂²	—	2	4	no	—
984	C₂²	—	2	4	no	—
985	C₂²	—	8	4	no	—
986	C₂²	—	8	4	no	—
987	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
988	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
989	C₄	—	2	2	no	—
990	C₄	—	2	2	no	—
991	C₄	—	2	4	no	—
992	C₄	—	2	1	no	—
993	C₄	—	2	4	no	—
994	C₄	—	2	4	no	—
995	C₄	—	2	8	no	—
996	C₄	—	2	8	no	—
997	C₄	—	2	8	no	—
998	C₄	—	2	4	no	—
999	C₄	—	2	2	no	—
1000	C₄	C₂×C₁₃×2₋¹⁺⁴	1	4	yes	—
1001	C₄	C₁₃×#585	1	2	yes	—
1002	C₂	—	2	2	no	—
1003	C₂	—	4	4	no	—
1004	C₂	—	4	4	no	—
1005	C₂	—	4	4	no	—
1006	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1007	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1008	C₂	C₁₃×H(7,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3565	C₂	semidirect
2. C₁₃×#3561	C₂	semidirect
3. C₁₃×#3547	C₂	semidirect
4. C₁₃×#3547	C₂	semidirect
5. C₁₃×#3544	C₂	semidirect
6. C₁₃×#3536	C₂	semidirect
7. C₁₃×#3518	C₂	semidirect
8. C₁₃×#3511	C₂	semidirect
9. C₁₃×#3503	C₂	semidirect
10. C₁₃×#3501	C₂	semidirect
11. C₁₃×#3495	C₂	semidirect
12. C₁₃×#3494	C₂	semidirect
13. C₁₃×#3493	C₂	semidirect
14. C₁₃×#3475	C₂	semidirect
15. C₂×C₁₃×#555	C₂	semidirect
16. C₁₃×#3460	C₂	semidirect
17. C₁₃×#3458	C₂	semidirect
18. C₁₃×#563	C₂²	semidirect
19. C₁₃×#562	C₂²	semidirect
20. C₁₃×#562	C₂²	semidirect
21. Q₈²×C₁₃	C₂²	semidirect
22. C₁₃×#557	C₂²	semidirect
23. C₁₃×#556	C₂²	semidirect
24. C₁₃×#556	C₂²	semidirect
25. C₁₃×#556	C₂²	semidirect
26. C₁₃×#556	C₂²	semidirect
30. C₁₃×#555	C₂²	semidirect
31. C₁₃×#555	C₂²	semidirect
32. C₁₃×#555	C₂²	semidirect
34. C₁₃×#554	C₂²	semidirect
35. C₁₃×#554	C₂²	semidirect
36. C₁₃×#554	C₂²	semidirect
37. C₁₃×#554	C₂²	semidirect
38. C₁₃×#553	C₂²	semidirect
39. C₁₃×#553	C₂²	semidirect
40. C₁₃×#553	C₂²	semidirect
41. C₁₃×#553	C₂²	semidirect
43. C₁₃×#552	C₂²	semidirect
44. C₁₃×#552	C₂²	semidirect
45. C₁₃×#552	C₂²	semidirect
46. C₁₃×#552	C₂²	semidirect
50. D₄×Q₈×C₁₃	C₂²	semidirect
51. D₄×Q₈×C₁₃	C₂²	semidirect
52. C₁₃×#548	C₂²	semidirect
53. C₁₃×#548	C₂²	semidirect
54. C₁₃×#547	C₂²	semidirect
55. C₁₃×#547	C₂²	semidirect
56. C₁₃×#547	C₂²	semidirect
62. C₁₃×#544	C₂²	semidirect
63. C₁₃×#544	C₂²	semidirect
64. C₁₃×#544	C₂²	semidirect
65. C₁₃×#544	C₂²	semidirect
68. C₁₃×#542	C₂²	semidirect
69. C₁₃×#542	C₂²	semidirect
70. C₁₃×#542	C₂²	semidirect
71. C₁₃×#542	C₂²	semidirect
72. C₁₃×#542	C₂²	semidirect
73. C₁₃×#542	C₂²	semidirect
74. C₁₃×#542	C₂²	semidirect
75. C₁₃×#541	C₂²	semidirect
76. C₁₃×#540	C₂²	semidirect
77. C₁₃×#540	C₂²	semidirect
78. C₁₃×#539	C₂²	semidirect
82. C₁₃×#537	C₂²	semidirect
83. C₁₃×#537	C₂²	semidirect
84. C₁₃×#536	C₂²	semidirect
85. C₁₃×#536	C₂²	semidirect
89. C₁₃×#533	C₂²	semidirect
90. C₁₃×#533	C₂²	semidirect
91. C₁₃×#533	C₂²	semidirect
92. C₁₃×#532	C₂²	semidirect
93. C₁₃×#532	C₂²	semidirect
95. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
97. C₁₃×#529	C₂²	semidirect
98. C₁₃×#529	C₂²	semidirect
99. C₁₃×#529	C₂²	semidirect
100. C₁₃×#529	C₂²	semidirect
108. C₁₃×#520	C₂²	semidirect
109. C₁₃×#519	C₂²	semidirect
112. C₄×C₁₃×#41	C₂²	semidirect
298. #62929	C₁₃	direct (N × H)
411. #3565	C₂×C₁₃	semidirect
412. #3561	C₂×C₁₃	semidirect
413. #3547	C₂×C₁₃	semidirect
414. #3547	C₂×C₁₃	semidirect
415. #3544	C₂×C₁₃	semidirect
416. #3536	C₂×C₁₃	semidirect
417. #3518	C₂×C₁₃	semidirect
418. #3511	C₂×C₁₃	semidirect
419. #3503	C₂×C₁₃	semidirect
420. #3501	C₂×C₁₃	semidirect
421. #3495	C₂×C₁₃	semidirect
422. #3494	C₂×C₁₃	semidirect
423. #3493	C₂×C₁₃	semidirect
424. #3475	C₂×C₁₃	semidirect
425. C₂×#555	C₂×C₁₃	semidirect
426. #3460	C₂×C₁₃	semidirect
427. #3458	C₂×C₁₃	semidirect
487. #563	C₂²×C₁₃	semidirect
488. #562	C₂²×C₁₃	semidirect
489. #562	C₂²×C₁₃	semidirect
490. Q₈²	C₂²×C₁₃	semidirect
491. #557	C₂²×C₁₃	semidirect
492. #556	C₂²×C₁₃	semidirect
493. #556	C₂²×C₁₃	semidirect
494. #556	C₂²×C₁₃	semidirect
495. #556	C₂²×C₁₃	semidirect
499. #555	C₂²×C₁₃	semidirect
500. #555	C₂²×C₁₃	semidirect
501. #555	C₂²×C₁₃	semidirect
503. #554	C₂²×C₁₃	semidirect
504. #554	C₂²×C₁₃	semidirect
505. #554	C₂²×C₁₃	semidirect
506. #554	C₂²×C₁₃	semidirect
507. #553	C₂²×C₁₃	semidirect
508. #553	C₂²×C₁₃	semidirect
509. #553	C₂²×C₁₃	semidirect
510. #553	C₂²×C₁₃	semidirect
512. #552	C₂²×C₁₃	semidirect
513. #552	C₂²×C₁₃	semidirect
514. #552	C₂²×C₁₃	semidirect
515. #552	C₂²×C₁₃	semidirect
519. D₄×Q₈	C₂²×C₁₃	semidirect
520. D₄×Q₈	C₂²×C₁₃	semidirect
521. #548	C₂²×C₁₃	semidirect
522. #548	C₂²×C₁₃	semidirect
523. #547	C₂²×C₁₃	semidirect
524. #547	C₂²×C₁₃	semidirect
525. #547	C₂²×C₁₃	semidirect
531. #544	C₂²×C₁₃	semidirect
532. #544	C₂²×C₁₃	semidirect
533. #544	C₂²×C₁₃	semidirect
534. #544	C₂²×C₁₃	semidirect
537. #542	C₂²×C₁₃	semidirect
538. #542	C₂²×C₁₃	semidirect
539. #542	C₂²×C₁₃	semidirect
540. #542	C₂²×C₁₃	semidirect
541. #542	C₂²×C₁₃	semidirect
542. #542	C₂²×C₁₃	semidirect
543. #542	C₂²×C₁₃	semidirect
544. #541	C₂²×C₁₃	semidirect
545. #540	C₂²×C₁₃	semidirect
546. #540	C₂²×C₁₃	semidirect
547. #539	C₂²×C₁₃	semidirect
551. #537	C₂²×C₁₃	semidirect
552. #537	C₂²×C₁₃	semidirect
553. #536	C₂²×C₁₃	semidirect
554. #536	C₂²×C₁₃	semidirect
558. #533	C₂²×C₁₃	semidirect
559. #533	C₂²×C₁₃	semidirect
560. #533	C₂²×C₁₃	semidirect
561. #532	C₂²×C₁₃	semidirect
562. #532	C₂²×C₁₃	semidirect
564. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
566. #529	C₂²×C₁₃	semidirect
567. #529	C₂²×C₁₃	semidirect
568. #529	C₂²×C₁₃	semidirect
569. #529	C₂²×C₁₃	semidirect
577. #520	C₂²×C₁₃	semidirect
578. #519	C₂²×C₁₃	semidirect
581. C₄×#41	C₂²×C₁₃	semidirect
914. C₁₃	#62929	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×#3565	2
C₁₃×#3561	2
C₁₃×#3547	2
C₁₃×#3544	2
C₁₃×#3536	2
C₁₃×#3518	2
C₁₃×#3511	2
C₁₃×#3503	2
C₁₃×#3501	2
C₁₃×#3495	2
C₁₃×#3494	2
C₁₃×#3493	2
C₁₃×#3475	2
C₂×C₁₃×#555	2
C₁₃×#3460	2
C₁₃×#3458	2
#62929	13

Subgroups — C13×#62929 #15749268

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62929 #15749268