Subgroups — C₁₃×#62838 #15749177

Order 3328.

6518 conjugacy classes of subgroups.

The subgroup lattice has 1000 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×#3555	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3547	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3541	C₂	1	8	yes	maximal, complemented
5	C₁₃×#3518	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3516	C₂	1	8	yes	maximal, complemented
7	C₁₃×#3515	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3512	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3511	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3511	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3509	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3504	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3503	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3493	C₂	1	4	yes	maximal, complemented
15	C₁₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₁₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#563	C₂²	1	16	yes	—
19	C₁₃×#562	C₂²	1	16	yes	—
20	Q₈²×C₁₃	C₂²	1	4	yes	complemented
21	C₁₃×#557	C₂²	1	4	yes	complemented
22	C₁₃×#557	C₂²	1	8	yes	complemented
23	C₁₃×#557	C₂²	1	8	yes	complemented
24	C₁₃×#556	C₂²	1	8	yes	—
25	C₁₃×#556	C₂²	1	8	yes	—
26	C₁₃×#556	C₂²	1	8	yes	—
27	C₁₃×#556	C₂²	1	4	yes	complemented
28	C₁₃×#556	C₂²	1	16	yes	complemented
29	C₁₃×#556	C₂²	1	8	yes	complemented
30	C₁₃×#555	C₂²	1	8	yes	—
31	C₁₃×#555	C₂²	1	8	yes	—
32	C₁₃×#555	C₂²	1	4	yes	complemented
33	C₁₃×#554	C₂²	1	8	yes	—
34	C₁₃×#554	C₂²	1	16	yes	—
35	C₁₃×#554	C₂²	1	4	yes	complemented
36	C₁₃×#554	C₂²	1	4	yes	complemented
37	C₁₃×#554	C₂²	1	8	yes	complemented
38	C₁₃×#553	C₂²	1	8	yes	—
39	C₁₃×#553	C₂²	1	16	yes	—
40	C₁₃×#553	C₂²	1	8	yes	—
41	C₁₃×#553	C₂²	1	8	yes	—
42	C₁₃×#553	C₂²	1	8	yes	complemented
43	C₁₃×#552	C₂²	1	8	yes	—
44	C₁₃×#552	C₂²	1	8	yes	—
45	C₁₃×#552	C₂²	1	8	yes	—
46	C₁₃×#552	C₂²	1	8	yes	complemented
47	C₁₃×#552	C₂²	1	8	yes	complemented
48	C₁₃×#552	C₂²	1	16	yes	complemented
49	D₄×Q₈×C₁₃	C₂²	1	8	yes	—
50	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
51	C₁₃×#548	C₂²	1	8	yes	—
52	C₁₃×#548	C₂²	1	8	yes	—
53	C₁₃×#548	C₂²	1	8	yes	complemented
54	C₁₃×#547	C₂²	1	8	yes	—
55	C₁₃×#547	C₂²	1	4	yes	complemented
56	C₁₃×#544	C₂²	1	4	yes	—
57	C₁₃×#544	C₂²	1	8	yes	complemented
58	C₁₃×#544	C₂²	1	8	yes	complemented
59	C₁₃×#542	C₂²	1	16	yes	—
60	C₁₃×#542	C₂²	1	8	yes	—
61	C₁₃×#542	C₂²	1	8	yes	complemented
62	C₁₃×#542	C₂²	1	16	yes	complemented
63	C₁₃×#542	C₂²	1	8	yes	complemented
64	C₁₃×#541	C₂²	1	8	yes	—
65	C₁₃×#541	C₂²	1	4	yes	complemented
66	C₁₃×#541	C₂²	1	16	yes	complemented
67	C₁₃×#541	C₂²	1	8	yes	complemented
68	C₁₃×#540	C₂²	1	4	yes	complemented
69	C₁₃×#539	C₂²	1	16	yes	—
70	C₁₃×#538	C₂²	1	16	yes	—
71	C₁₃×#537	C₂²	1	8	yes	—
72	C₁₃×#537	C₂²	1	4	yes	—
73	C₁₃×#536	C₂²	1	8	yes	—
74	C₁₃×#533	C₂²	1	4	yes	—
75	C₁₃×#533	C₂²	1	4	yes	—
76	C₁₃×#533	C₂²	1	2	yes	—
77	C₁₃×#533	C₂²	1	4	yes	—
78	C₁₃×#533	C₂²	1	4	yes	—
79	C₁₃×#533	C₂²	1	1	yes	characteristic
80	C₁₃×#533	C₂²	1	1	yes	characteristic
81	C₁₃×#533	C₂²	1	2	yes	—
82	C₁₃×#533	C₂²	1	4	yes	complemented
83	C₁₃×#533	C₂²	1	4	yes	complemented
84	C₁₃×#533	C₂²	1	4	yes	complemented
85	C₁₃×#532	C₂²	1	2	yes	—
86	C₁₃×#532	C₂²	1	1	yes	characteristic
87	C₁₃×#532	C₂²	1	2	yes	—
88	C₁₃×#532	C₂²	1	1	yes	characteristic
89	C₁₃×#532	C₂²	1	4	yes	complemented
90	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
91	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
92	C₁₃×#529	C₂²	1	2	yes	—
93	C₁₃×#529	C₂²	1	4	yes	—
94	C₁₃×#529	C₂²	1	4	yes	—
95	C₁₃×#529	C₂²	1	4	yes	—
96	C₁₃×#529	C₂²	1	2	yes	—
97	C₁₃×#529	C₂²	1	4	yes	—
98	C₁₃×#529	C₂²	1	4	yes	—
99	C₁₃×#529	C₂²	1	16	yes	—
100	C₁₃×#529	C₂²	1	8	yes	complemented
101	C₂×C₁₃×#125	C₂²	1	2	yes	—
102	C₂×C₁₃×#125	C₂²	1	4	yes	complemented
103	C₁₃×#525	C₂²	1	4	yes	—
104	C₁₃×#525	C₂²	1	4	yes	—
105	C₁₃×#525	C₂²	1	2	yes	—
106	C₁₃×#525	C₂²	1	2	yes	—
107	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
108	C₁₃×#520	C₂²	1	4	yes	—
109	C₁₃×#520	C₂²	1	4	yes	—
110	C₁₃×#520	C₂²	1	8	yes	complemented
111	C₁₃×#519	C₂²	1	8	yes	complemented
112	C₄×C₁₃×#41	C₂²	1	4	yes	—
113	C₄×C₁₃×#41	C₂²	1	2	yes	—
114	C₄×C₁₃×#41	C₂²	1	2	yes	—
115	C₄×C₁₃×#41	C₂²	1	4	yes	—
116	C₂×C₄×Q₈×C₁₃	C₂²	1	4	yes	—
117	C₂×C₁₃×#117	C₂²	1	2	yes	—
118	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
119	C₂×C₁₃×#41	C₂³	1	2	yes	—
120	C₂×C₁₃×#41	C₂³	1	2	yes	—
121	C₂×C₁₃×#41	C₂³	1	4	yes	—
122	C₂×C₁₃×#41	C₂³	1	4	yes	—
123	C₂×C₁₃×#41	C₂³	1	8	yes	—
124	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
125	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
126	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
128	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
129	C₁₃×C₄⋊Q₈	C₂³	1	4	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	1	yes	characteristic
137	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
138	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
139	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
140	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
141	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
142	C₁₃×#127	C₂³	1	1	yes	characteristic
143	C₁₃×#127	C₂³	1	1	yes	characteristic
144	C₁₃×#126	C₂³	1	8	yes	—
145	C₁₃×#126	C₂³	1	4	yes	—
146	C₁₃×#126	C₂³	1	4	yes	—
147	C₁₃×#126	C₂³	1	16	yes	—
148	C₁₃×#126	C₂³	1	16	yes	—
149	C₁₃×#126	C₂³	1	16	yes	—
150	C₁₃×#126	C₂³	1	16	yes	—
151	C₁₃×#126	C₂³	1	16	yes	—
152	C₁₃×#126	C₂³	1	16	yes	—
153	C₁₃×#126	C₂³	1	16	yes	—
154	C₁₃×#125	C₂³	1	4	yes	—
155	C₁₃×#125	C₂³	1	4	yes	—
156	C₁₃×#125	C₂³	1	8	yes	—
157	C₁₃×#125	C₂³	1	1	yes	characteristic
158	C₁₃×#125	C₂³	1	16	yes	—
159	C₁₃×#125	C₂³	1	8	yes	—
160	C₁₃×#125	C₂³	1	1	yes	characteristic
161	C₁₃×#125	C₂³	1	4	yes	—
162	C₁₃×#125	C₂³	1	2	yes	—
163	C₁₃×#125	C₂³	1	4	yes	—
164	C₁₃×#125	C₂³	1	16	yes	—
165	C₁₃×#125	C₂³	1	8	yes	—
166	C₁₃×#125	C₂³	1	8	yes	—
167	C₁₃×#125	C₂³	1	16	yes	—
168	C₁₃×#125	C₂³	1	16	yes	—
169	C₁₃×#125	C₂³	1	16	yes	—
170	C₁₃×#124	C₂³	1	2	yes	—
171	C₁₃×#124	C₂³	1	2	yes	—
172	C₁₃×#124	C₂³	1	4	yes	—
173	C₁₃×#124	C₂³	1	4	yes	—
174	C₁₃×#124	C₂³	1	16	yes	—
175	C₁₃×#124	C₂³	1	8	yes	—
176	C₁₃×#124	C₂³	1	16	yes	—
177	C₁₃×#124	C₂³	1	16	yes	—
178	C₁₃×#124	C₂³	1	16	yes	—
179	C₁₃×#123	C₂³	1	4	yes	—
180	C₁₃×#123	C₂³	1	4	yes	—
181	C₁₃×#123	C₂³	1	4	yes	—
182	C₁₃×#123	C₂³	1	4	yes	—
183	C₁₃×#123	C₂³	1	8	yes	—
184	C₁₃×#123	C₂³	1	16	yes	—
185	C₁₃×#123	C₂³	1	16	yes	—
186	C₁₃×#123	C₂³	1	16	yes	—
187	C₁₃×#123	C₂³	1	16	yes	—
188	C₁₃×#123	C₂³	1	16	yes	—
189	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
190	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
191	C₁₃×C₂²⋊Q₈	C₂³	1	8	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	2	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
203	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
204	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
205	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
206	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
207	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	16	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	2	yes	—
216	C₁₃×#121	C₂³	1	4	yes	—
217	C₁₃×#121	C₂³	1	2	yes	—
218	C₁₃×#121	C₂³	1	4	yes	—
219	C₁₃×#121	C₂³	1	16	yes	—
220	C₁₃×#121	C₂³	1	8	yes	—
221	C₁₃×#121	C₂³	1	8	yes	—
222	C₁₃×#121	C₂³	1	8	yes	—
223	C₁₃×#121	C₂³	1	16	yes	—
224	C₁₃×#121	C₂³	1	16	yes	—
225	C₁₃×#121	C₂³	1	16	yes	—
226	C₁₃×#120	C₂³	1	4	yes	—
227	C₁₃×#120	C₂³	1	4	yes	—
228	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
229	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
230	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
232	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
233	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
237	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
238	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
239	C₄×Q₈×C₁₃	C₂³	1	16	yes	—
240	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
241	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
242	C₄×Q₈×C₁₃	C₂³	1	16	yes	—
243	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
244	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
245	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
246	C₄×D₄×C₁₃	C₂³	1	4	yes	—
247	C₄×D₄×C₁₃	C₂³	1	8	yes	—
248	C₄×D₄×C₁₃	C₂³	1	4	yes	—
249	C₄×D₄×C₁₃	C₂³	1	4	yes	—
250	C₄×D₄×C₁₃	C₂³	1	4	yes	—
251	C₄×D₄×C₁₃	C₂³	1	4	yes	—
252	C₄×D₄×C₁₃	C₂³	1	4	yes	—
253	C₄×D₄×C₁₃	C₂³	1	8	yes	—
254	C₄×D₄×C₁₃	C₂³	1	8	yes	—
255	C₄×D₄×C₁₃	C₂³	1	4	yes	—
256	C₄×D₄×C₁₃	C₂³	1	2	yes	—
257	C₄×D₄×C₁₃	C₂³	1	4	yes	—
258	C₄×D₄×C₁₃	C₂³	1	4	yes	—
259	C₄×D₄×C₁₃	C₂³	1	2	yes	—
260	C₄×D₄×C₁₃	C₂³	1	4	yes	—
261	C₄×D₄×C₁₃	C₂³	1	4	yes	—
262	C₄×D₄×C₁₃	C₂³	1	16	yes	—
263	C₄×D₄×C₁₃	C₂³	1	16	yes	—
264	C₄×D₄×C₁₃	C₂³	1	8	yes	—
265	C₄×D₄×C₁₃	C₂³	1	8	yes	—
266	C₄×D₄×C₁₃	C₂³	1	16	yes	—
267	C₄×D₄×C₁₃	C₂³	1	16	yes	—
268	C₄×D₄×C₁₃	C₂³	1	8	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	2	yes	—
273	C₁₃×#117	C₂³	1	2	yes	—
274	C₁₃×#117	C₂³	1	4	yes	—
275	C₁₃×#117	C₂³	1	4	yes	—
276	C₁₃×#117	C₂³	1	4	yes	—
277	C₁₃×#117	C₂³	1	4	yes	—
278	C₁₃×#117	C₂³	1	4	yes	—
279	C₁₃×#117	C₂³	1	8	yes	—
280	C₁₃×#117	C₂³	1	16	yes	—
281	C₁₃×#117	C₂³	1	16	yes	—
282	C₁₃×#117	C₂³	1	8	yes	—
283	C₁₃×#117	C₂³	1	8	yes	—
284	C₁₃×#117	C₂³	1	8	yes	—
285	C₁₃×#117	C₂³	1	16	yes	—
286	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
287	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
288	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
289	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
291	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	—
292	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
293	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
294	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
295	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
297	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
299	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
300	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
301	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
302	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
303	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
304	#62838	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
305	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
306	C₁₃×#41	—	2	8	no	—
307	C₁₃×#41	—	2	8	no	—
308	C₁₃×#41	—	4	8	no	—
309	C₁₃×#41	—	4	8	no	—
310	C₁₃×#41	—	4	16	no	—
311	C₂×Q₈×C₁₃	—	4	8	no	—
312	C₂×Q₈×C₁₃	—	4	16	no	—
313	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
314	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
315	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
316	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
317	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
318	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
319	C₂×Q₈×C₁₃	C₂⁴	1	16	yes	—
320	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
321	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
322	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
323	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
324	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
325	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
326	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
327	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
328	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
329	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
330	C₂²×C₄×C₁₃	—	2	4	no	—
331	C₂²×C₄×C₁₃	—	4	4	no	—
332	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
334	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
335	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
336	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
339	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
340	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
341	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
342	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
346	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
347	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
348	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
349	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
351	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
352	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
353	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
354	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
355	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
356	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
357	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
358	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
359	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
360	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
361	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
362	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
363	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
364	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
365	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
366	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
367	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
368	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
369	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
370	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
371	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
372	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
373	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
374	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
375	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
376	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
377	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
378	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
379	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
380	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
381	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
382	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
383	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
384	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
385	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
386	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
387	C₁₃×C₂²⋊C₄	C₂⁴	1	4	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	16	yes	—
392	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
393	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
394	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
395	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
396	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
397	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₄²×C₁₃	C₂⁴	1	2	yes	—
400	C₄²×C₁₃	C₂⁴	1	2	yes	—
401	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₄²×C₁₃	C₂⁴	1	2	yes	—
404	C₄²×C₁₃	C₂⁴	1	2	yes	—
405	C₄²×C₁₃	C₂⁴	1	2	yes	—
406	C₄²×C₁₃	C₂⁴	1	2	yes	—
407	C₄²×C₁₃	C₂⁴	1	8	yes	—
408	C₄²×C₁₃	C₂⁴	1	16	yes	—
409	C₄²×C₁₃	C₂⁴	1	4	yes	—
410	C₄²×C₁₃	C₂⁴	1	4	yes	—
411	C₄²×C₁₃	C₂⁴	1	4	yes	—
412	C₄²×C₁₃	C₂⁴	1	4	yes	—
413	C₄²×C₁₃	C₂⁴	1	16	yes	—
414	C₄²×C₁₃	C₂⁴	1	16	yes	—
415	#3565	C₂×C₁₃	1	8	yes	complemented
416	#3555	C₂×C₁₃	1	4	yes	complemented
417	#3547	C₂×C₁₃	1	4	yes	complemented
418	#3541	C₂×C₁₃	1	8	yes	complemented
419	#3518	C₂×C₁₃	1	4	yes	complemented
420	#3516	C₂×C₁₃	1	8	yes	complemented
421	#3515	C₂×C₁₃	1	4	yes	complemented
422	#3512	C₂×C₁₃	1	2	yes	complemented
423	#3511	C₂×C₁₃	1	2	yes	complemented
424	#3511	C₂×C₁₃	1	4	yes	complemented
425	#3509	C₂×C₁₃	1	4	yes	complemented
426	#3504	C₂×C₁₃	1	2	yes	complemented
427	#3503	C₂×C₁₃	1	2	yes	complemented
428	#3493	C₂×C₁₃	1	4	yes	complemented
429	#3444	C₂×C₁₃	1	1	yes	characteristic, complemented
430	#3444	C₂×C₁₃	1	1	yes	characteristic, complemented
431	C₂×#533	C₂×C₁₃	1	1	yes	characteristic, complemented
432	C₂³×C₁₃	—	2	2	no	—
433	C₂³×C₁₃	—	4	2	no	—
434	C₂³×C₁₃	C₂⁵	1	2	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	4	no	—
440	Q₈×C₁₃	—	2	16	no	—
441	Q₈×C₁₃	—	2	8	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	—	2	8	no	—
450	D₄×C₁₃	—	4	4	no	—
451	D₄×C₁₃	—	4	4	no	—
452	D₄×C₁₃	—	4	4	no	—
453	D₄×C₁₃	—	4	8	no	—
454	D₄×C₁₃	—	4	16	no	—
455	C₂×C₄×C₁₃	—	2	2	no	—
456	C₂×C₄×C₁₃	—	2	4	no	—
457	C₂×C₄×C₁₃	—	2	4	no	—
458	C₂×C₄×C₁₃	—	2	8	no	—
459	C₂×C₄×C₁₃	—	2	8	no	—
460	C₂×C₄×C₁₃	—	2	4	no	—
461	C₂×C₄×C₁₃	—	2	4	no	—
462	C₂×C₄×C₁₃	—	2	4	no	—
463	C₂×C₄×C₁₃	—	2	8	no	—
464	C₂×C₄×C₁₃	—	2	8	no	—
465	C₂×C₄×C₁₃	—	4	2	no	—
466	C₂×C₄×C₁₃	—	4	2	no	—
467	C₂×C₄×C₁₃	—	4	2	no	—
468	C₂×C₄×C₁₃	—	4	8	no	—
469	C₂×C₄×C₁₃	—	4	16	no	—
470	C₂×C₄×C₁₃	—	4	8	no	—
471	C₂×C₄×C₁₃	—	4	16	no	—
472	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
473	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
474	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
475	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
476	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
477	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
478	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
479	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
480	C₂×C₄×C₁₃	C₂⁵	1	16	yes	—
481	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
482	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
483	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
484	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
485	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
486	#563	C₂²×C₁₃	1	16	yes	—
487	#562	C₂²×C₁₃	1	16	yes	—
488	Q₈²	C₂²×C₁₃	1	4	yes	complemented
489	#557	C₂²×C₁₃	1	4	yes	complemented
490	#557	C₂²×C₁₃	1	8	yes	complemented
491	#557	C₂²×C₁₃	1	8	yes	complemented
492	#556	C₂²×C₁₃	1	8	yes	—
493	#556	C₂²×C₁₃	1	8	yes	—
494	#556	C₂²×C₁₃	1	8	yes	—
495	#556	C₂²×C₁₃	1	8	yes	complemented
496	#556	C₂²×C₁₃	1	4	yes	complemented
497	#556	C₂²×C₁₃	1	16	yes	complemented
498	#555	C₂²×C₁₃	1	8	yes	—
499	#555	C₂²×C₁₃	1	8	yes	—
500	#555	C₂²×C₁₃	1	4	yes	complemented
501	#554	C₂²×C₁₃	1	8	yes	—
502	#554	C₂²×C₁₃	1	16	yes	—
503	#554	C₂²×C₁₃	1	4	yes	complemented
504	#554	C₂²×C₁₃	1	8	yes	complemented
505	#554	C₂²×C₁₃	1	4	yes	complemented
506	#553	C₂²×C₁₃	1	8	yes	—
507	#553	C₂²×C₁₃	1	8	yes	—
508	#553	C₂²×C₁₃	1	8	yes	—
509	#553	C₂²×C₁₃	1	16	yes	—
510	#553	C₂²×C₁₃	1	8	yes	complemented
511	#552	C₂²×C₁₃	1	8	yes	—
512	#552	C₂²×C₁₃	1	8	yes	—
513	#552	C₂²×C₁₃	1	8	yes	—
514	#552	C₂²×C₁₃	1	8	yes	complemented
515	#552	C₂²×C₁₃	1	8	yes	complemented
516	#552	C₂²×C₁₃	1	16	yes	complemented
517	D₄×Q₈	C₂²×C₁₃	1	8	yes	—
518	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
519	#548	C₂²×C₁₃	1	8	yes	—
520	#548	C₂²×C₁₃	1	8	yes	—
521	#548	C₂²×C₁₃	1	8	yes	complemented
522	#547	C₂²×C₁₃	1	8	yes	—
523	#547	C₂²×C₁₃	1	4	yes	complemented
524	#544	C₂²×C₁₃	1	4	yes	—
525	#544	C₂²×C₁₃	1	8	yes	complemented
526	#544	C₂²×C₁₃	1	8	yes	complemented
527	#542	C₂²×C₁₃	1	8	yes	—
528	#542	C₂²×C₁₃	1	16	yes	—
529	#542	C₂²×C₁₃	1	8	yes	complemented
530	#542	C₂²×C₁₃	1	8	yes	complemented
531	#542	C₂²×C₁₃	1	16	yes	complemented
532	#541	C₂²×C₁₃	1	8	yes	—
533	#541	C₂²×C₁₃	1	8	yes	complemented
534	#541	C₂²×C₁₃	1	4	yes	complemented
535	#541	C₂²×C₁₃	1	16	yes	complemented
536	#540	C₂²×C₁₃	1	4	yes	complemented
537	#539	C₂²×C₁₃	1	16	yes	—
538	#538	C₂²×C₁₃	1	16	yes	—
539	#537	C₂²×C₁₃	1	4	yes	—
540	#537	C₂²×C₁₃	1	8	yes	—
541	#536	C₂²×C₁₃	1	8	yes	—
542	#533	C₂²×C₁₃	1	4	yes	—
543	#533	C₂²×C₁₃	1	4	yes	—
544	#533	C₂²×C₁₃	1	4	yes	—
545	#533	C₂²×C₁₃	1	4	yes	—
546	#533	C₂²×C₁₃	1	1	yes	characteristic
547	#533	C₂²×C₁₃	1	1	yes	characteristic
548	#533	C₂²×C₁₃	1	2	yes	—
549	#533	C₂²×C₁₃	1	2	yes	—
550	#533	C₂²×C₁₃	1	4	yes	complemented
551	#533	C₂²×C₁₃	1	4	yes	complemented
552	#533	C₂²×C₁₃	1	4	yes	complemented
553	#532	C₂²×C₁₃	1	1	yes	characteristic
554	#532	C₂²×C₁₃	1	2	yes	—
555	#532	C₂²×C₁₃	1	1	yes	characteristic
556	#532	C₂²×C₁₃	1	2	yes	—
557	#532	C₂²×C₁₃	1	4	yes	complemented
558	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
559	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
560	#529	C₂²×C₁₃	1	2	yes	—
561	#529	C₂²×C₁₃	1	4	yes	—
562	#529	C₂²×C₁₃	1	4	yes	—
563	#529	C₂²×C₁₃	1	2	yes	—
564	#529	C₂²×C₁₃	1	4	yes	—
565	#529	C₂²×C₁₃	1	4	yes	—
566	#529	C₂²×C₁₃	1	4	yes	—
567	#529	C₂²×C₁₃	1	16	yes	—
568	#529	C₂²×C₁₃	1	8	yes	complemented
569	C₂×#125	C₂²×C₁₃	1	2	yes	—
570	C₂×#125	C₂²×C₁₃	1	4	yes	complemented
571	#525	C₂²×C₁₃	1	2	yes	—
572	#525	C₂²×C₁₃	1	2	yes	—
573	#525	C₂²×C₁₃	1	4	yes	—
574	#525	C₂²×C₁₃	1	4	yes	—
575	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
576	#520	C₂²×C₁₃	1	4	yes	—
577	#520	C₂²×C₁₃	1	4	yes	—
578	#520	C₂²×C₁₃	1	8	yes	complemented
579	#519	C₂²×C₁₃	1	8	yes	complemented
580	C₄×#41	C₂²×C₁₃	1	2	yes	—
581	C₄×#41	C₂²×C₁₃	1	2	yes	—
582	C₄×#41	C₂²×C₁₃	1	4	yes	—
583	C₄×#41	C₂²×C₁₃	1	4	yes	—
584	C₂×C₄×Q₈	C₂²×C₁₃	1	4	yes	—
585	C₂×#117	C₂²×C₁₃	1	2	yes	—
586	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
587	C₂²×C₁₃	—	2	2	no	—
588	C₂²×C₁₃	—	2	2	no	—
589	C₂²×C₁₃	—	2	4	no	—
590	C₂²×C₁₃	—	2	4	no	—
591	C₂²×C₁₃	—	2	4	no	—
592	C₂²×C₁₃	—	2	2	no	—
593	C₂²×C₁₃	—	2	2	no	—
594	C₂²×C₁₃	—	2	4	no	—
595	C₂²×C₁₃	—	2	8	no	—
596	C₂²×C₁₃	—	4	4	no	—
597	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
598	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
599	C₄×C₁₃	—	2	2	no	—
600	C₄×C₁₃	—	2	4	no	—
601	C₄×C₁₃	—	2	4	no	—
602	C₄×C₁₃	—	2	2	no	—
603	C₄×C₁₃	—	2	4	no	—
604	C₄×C₁₃	—	2	2	no	—
605	C₄×C₁₃	—	2	2	no	—
606	C₄×C₁₃	—	2	4	no	—
607	C₄×C₁₃	—	2	16	no	—
608	C₄×C₁₃	—	2	8	no	—
609	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
610	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
611	C₄×C₁₃	#585	1	4	yes	—
612	C₂×#41	C₂³×C₁₃	1	2	yes	—
613	C₂×#41	C₂³×C₁₃	1	2	yes	—
614	C₂×#41	C₂³×C₁₃	1	4	yes	—
615	C₂×#41	C₂³×C₁₃	1	4	yes	—
616	C₂×#41	C₂³×C₁₃	1	8	yes	—
617	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
618	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
619	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
620	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
621	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
622	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
623	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
624	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
625	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
626	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
627	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
628	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
629	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
630	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
631	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
632	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
633	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
634	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
635	#127	C₂³×C₁₃	1	1	yes	characteristic
636	#127	C₂³×C₁₃	1	1	yes	characteristic
637	#126	C₂³×C₁₃	1	8	yes	—
638	#126	C₂³×C₁₃	1	4	yes	—
639	#126	C₂³×C₁₃	1	4	yes	—
640	#126	C₂³×C₁₃	1	16	yes	—
641	#126	C₂³×C₁₃	1	16	yes	—
642	#126	C₂³×C₁₃	1	16	yes	—
643	#126	C₂³×C₁₃	1	16	yes	—
644	#126	C₂³×C₁₃	1	16	yes	—
645	#126	C₂³×C₁₃	1	16	yes	—
646	#126	C₂³×C₁₃	1	16	yes	—
647	#125	C₂³×C₁₃	1	4	yes	—
648	#125	C₂³×C₁₃	1	4	yes	—
649	#125	C₂³×C₁₃	1	8	yes	—
650	#125	C₂³×C₁₃	1	1	yes	characteristic
651	#125	C₂³×C₁₃	1	16	yes	—
652	#125	C₂³×C₁₃	1	8	yes	—
653	#125	C₂³×C₁₃	1	1	yes	characteristic
654	#125	C₂³×C₁₃	1	4	yes	—
655	#125	C₂³×C₁₃	1	2	yes	—
656	#125	C₂³×C₁₃	1	4	yes	—
657	#125	C₂³×C₁₃	1	16	yes	—
658	#125	C₂³×C₁₃	1	8	yes	—
659	#125	C₂³×C₁₃	1	8	yes	—
660	#125	C₂³×C₁₃	1	16	yes	—
661	#125	C₂³×C₁₃	1	16	yes	—
662	#125	C₂³×C₁₃	1	16	yes	—
663	#124	C₂³×C₁₃	1	2	yes	—
664	#124	C₂³×C₁₃	1	2	yes	—
665	#124	C₂³×C₁₃	1	4	yes	—
666	#124	C₂³×C₁₃	1	4	yes	—
667	#124	C₂³×C₁₃	1	16	yes	—
668	#124	C₂³×C₁₃	1	8	yes	—
669	#124	C₂³×C₁₃	1	16	yes	—
670	#124	C₂³×C₁₃	1	16	yes	—
671	#124	C₂³×C₁₃	1	16	yes	—
672	#123	C₂³×C₁₃	1	4	yes	—
673	#123	C₂³×C₁₃	1	4	yes	—
674	#123	C₂³×C₁₃	1	4	yes	—
675	#123	C₂³×C₁₃	1	4	yes	—
676	#123	C₂³×C₁₃	1	8	yes	—
677	#123	C₂³×C₁₃	1	16	yes	—
678	#123	C₂³×C₁₃	1	16	yes	—
679	#123	C₂³×C₁₃	1	16	yes	—
680	#123	C₂³×C₁₃	1	16	yes	—
681	#123	C₂³×C₁₃	1	16	yes	—
682	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
683	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
684	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
685	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
686	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
687	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
688	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
689	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
690	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
691	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
692	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
693	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
694	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
695	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
696	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
697	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
698	C₂²⋊Q₈	C₂³×C₁₃	1	8	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	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
705	#121	C₂³×C₁₃	1	4	yes	—
706	#121	C₂³×C₁₃	1	4	yes	—
707	#121	C₂³×C₁₃	1	4	yes	—
708	#121	C₂³×C₁₃	1	2	yes	—
709	#121	C₂³×C₁₃	1	4	yes	—
710	#121	C₂³×C₁₃	1	2	yes	—
711	#121	C₂³×C₁₃	1	4	yes	—
712	#121	C₂³×C₁₃	1	16	yes	—
713	#121	C₂³×C₁₃	1	8	yes	—
714	#121	C₂³×C₁₃	1	8	yes	—
715	#121	C₂³×C₁₃	1	8	yes	—
716	#121	C₂³×C₁₃	1	16	yes	—
717	#121	C₂³×C₁₃	1	16	yes	—
718	#121	C₂³×C₁₃	1	16	yes	—
719	#120	C₂³×C₁₃	1	4	yes	—
720	#120	C₂³×C₁₃	1	4	yes	—
721	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
722	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
723	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
724	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
725	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
726	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
727	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
728	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
729	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
730	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
731	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
732	C₄×Q₈	C₂³×C₁₃	1	16	yes	—
733	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
734	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
735	C₄×Q₈	C₂³×C₁₃	1	16	yes	—
736	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
737	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
738	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
739	C₄×D₄	C₂³×C₁₃	1	4	yes	—
740	C₄×D₄	C₂³×C₁₃	1	8	yes	—
741	C₄×D₄	C₂³×C₁₃	1	4	yes	—
742	C₄×D₄	C₂³×C₁₃	1	4	yes	—
743	C₄×D₄	C₂³×C₁₃	1	4	yes	—
744	C₄×D₄	C₂³×C₁₃	1	4	yes	—
745	C₄×D₄	C₂³×C₁₃	1	4	yes	—
746	C₄×D₄	C₂³×C₁₃	1	8	yes	—
747	C₄×D₄	C₂³×C₁₃	1	8	yes	—
748	C₄×D₄	C₂³×C₁₃	1	4	yes	—
749	C₄×D₄	C₂³×C₁₃	1	2	yes	—
750	C₄×D₄	C₂³×C₁₃	1	4	yes	—
751	C₄×D₄	C₂³×C₁₃	1	4	yes	—
752	C₄×D₄	C₂³×C₁₃	1	2	yes	—
753	C₄×D₄	C₂³×C₁₃	1	4	yes	—
754	C₄×D₄	C₂³×C₁₃	1	4	yes	—
755	C₄×D₄	C₂³×C₁₃	1	16	yes	—
756	C₄×D₄	C₂³×C₁₃	1	16	yes	—
757	C₄×D₄	C₂³×C₁₃	1	8	yes	—
758	C₄×D₄	C₂³×C₁₃	1	8	yes	—
759	C₄×D₄	C₂³×C₁₃	1	16	yes	—
760	C₄×D₄	C₂³×C₁₃	1	16	yes	—
761	C₄×D₄	C₂³×C₁₃	1	8	yes	—
762	#117	C₂³×C₁₃	1	8	yes	—
763	#117	C₂³×C₁₃	1	8	yes	—
764	#117	C₂³×C₁₃	1	4	yes	—
765	#117	C₂³×C₁₃	1	2	yes	—
766	#117	C₂³×C₁₃	1	2	yes	—
767	#117	C₂³×C₁₃	1	4	yes	—
768	#117	C₂³×C₁₃	1	4	yes	—
769	#117	C₂³×C₁₃	1	4	yes	—
770	#117	C₂³×C₁₃	1	4	yes	—
771	#117	C₂³×C₁₃	1	4	yes	—
772	#117	C₂³×C₁₃	1	8	yes	—
773	#117	C₂³×C₁₃	1	16	yes	—
774	#117	C₂³×C₁₃	1	16	yes	—
775	#117	C₂³×C₁₃	1	8	yes	—
776	#117	C₂³×C₁₃	1	8	yes	—
777	#117	C₂³×C₁₃	1	8	yes	—
778	#117	C₂³×C₁₃	1	16	yes	—
779	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
780	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
781	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
782	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
783	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
784	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	—
785	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
786	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
787	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
788	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
789	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
790	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
791	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
792	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
793	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
794	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
795	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
796	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
797	C₂×C₁₃	—	2	2	no	—
798	C₂×C₁₃	—	4	4	no	—
799	C₂×C₁₃	—	4	4	no	—
800	C₂×C₁₃	—	4	2	no	—
801	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
802	C₂×C₁₃	C₂×#585	1	2	yes	—
803	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
804	#41	—	2	8	no	—
805	#41	—	2	8	no	—
806	#41	—	4	8	no	—
807	#41	—	4	8	no	—
808	#41	—	4	16	no	—
809	C₂×Q₈	—	4	8	no	—
810	C₂×Q₈	—	4	16	no	—
811	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
812	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
813	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
814	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
815	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
816	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
817	C₂×Q₈	C₂⁴×C₁₃	1	16	yes	—
818	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
819	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
820	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
821	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
822	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
823	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
824	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
825	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
826	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
827	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
828	C₂²×C₄	—	2	4	no	—
829	C₂²×C₄	—	4	4	no	—
830	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
831	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
832	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
833	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
834	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
835	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
836	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
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	2	yes	—
841	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
842	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
843	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
844	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
845	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
846	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
847	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
848	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
849	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
850	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
851	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
852	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
853	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
854	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
855	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
856	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
857	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
858	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
859	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
860	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
861	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
862	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
863	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
864	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
865	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
866	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
867	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
868	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
869	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
870	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
871	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
872	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
873	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
874	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
875	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
876	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
877	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
878	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
879	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
880	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
881	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
882	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
883	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
884	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
885	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
886	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
887	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
888	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
889	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
890	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
891	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
892	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
893	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
894	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
895	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
896	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
897	C₄²	C₂⁴×C₁₃	1	2	yes	—
898	C₄²	C₂⁴×C₁₃	1	2	yes	—
899	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
900	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
901	C₄²	C₂⁴×C₁₃	1	2	yes	—
902	C₄²	C₂⁴×C₁₃	1	2	yes	—
903	C₄²	C₂⁴×C₁₃	1	2	yes	—
904	C₄²	C₂⁴×C₁₃	1	2	yes	—
905	C₄²	C₂⁴×C₁₃	1	8	yes	—
906	C₄²	C₂⁴×C₁₃	1	16	yes	—
907	C₄²	C₂⁴×C₁₃	1	4	yes	—
908	C₄²	C₂⁴×C₁₃	1	4	yes	—
909	C₄²	C₂⁴×C₁₃	1	4	yes	—
910	C₄²	C₂⁴×C₁₃	1	4	yes	—
911	C₄²	C₂⁴×C₁₃	1	16	yes	—
912	C₄²	C₂⁴×C₁₃	1	16	yes	—
913	C₁₃	#62838	1	1	yes	characteristic, direct product factor, Sylow
914	C₂³	—	2	2	no	—
915	C₂³	—	4	2	no	—
916	C₂³	C₂⁵×C₁₃	1	2	yes	—
917	C₂³	C₂⁵×C₁₃	1	4	yes	—
918	C₂³	C₂⁵×C₁₃	1	4	yes	—
919	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
920	Q₈	—	2	4	no	—
921	Q₈	—	2	4	no	—
922	Q₈	—	2	16	no	—
923	Q₈	—	2	8	no	—
924	Q₈	—	4	8	no	—
925	Q₈	—	4	16	no	—
926	Q₈	—	4	4	no	—
927	D₄	—	2	8	no	—
928	D₄	—	2	8	no	—
929	D₄	—	2	4	no	—
930	D₄	—	2	4	no	—
931	D₄	—	2	8	no	—
932	D₄	—	4	4	no	—
933	D₄	—	4	4	no	—
934	D₄	—	4	4	no	—
935	D₄	—	4	8	no	—
936	D₄	—	4	16	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	4	no	—
939	C₂×C₄	—	2	4	no	—
940	C₂×C₄	—	2	8	no	—
941	C₂×C₄	—	2	8	no	—
942	C₂×C₄	—	2	4	no	—
943	C₂×C₄	—	2	4	no	—
944	C₂×C₄	—	2	4	no	—
945	C₂×C₄	—	2	8	no	—
946	C₂×C₄	—	2	8	no	—
947	C₂×C₄	—	4	2	no	—
948	C₂×C₄	—	4	2	no	—
949	C₂×C₄	—	4	2	no	—
950	C₂×C₄	—	4	8	no	—
951	C₂×C₄	—	4	16	no	—
952	C₂×C₄	—	4	8	no	—
953	C₂×C₄	—	4	16	no	—
954	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
955	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
956	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
957	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
958	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
959	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
960	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
961	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
962	C₂×C₄	C₂⁵×C₁₃	1	16	yes	—
963	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
964	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
965	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
966	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
967	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
968	C₂²	—	2	2	no	—
969	C₂²	—	2	2	no	—
970	C₂²	—	2	4	no	—
971	C₂²	—	2	4	no	—
972	C₂²	—	2	4	no	—
973	C₂²	—	2	2	no	—
974	C₂²	—	2	2	no	—
975	C₂²	—	2	4	no	—
976	C₂²	—	2	8	no	—
977	C₂²	—	4	4	no	—
978	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
979	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
980	C₄	—	2	2	no	—
981	C₄	—	2	4	no	—
982	C₄	—	2	4	no	—
983	C₄	—	2	2	no	—
984	C₄	—	2	4	no	—
985	C₄	—	2	2	no	—
986	C₄	—	2	2	no	—
987	C₄	—	2	4	no	—
988	C₄	—	2	16	no	—
989	C₄	—	2	8	no	—
990	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
991	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
992	C₄	C₁₃×#585	1	4	yes	—
993	C₂	—	2	2	no	—
994	C₂	—	4	2	no	—
995	C₂	—	4	4	no	—
996	C₂	—	4	4	no	—
997	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
998	C₂	C₂×C₁₃×#585	1	2	yes	—

	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×#3555	C₂	semidirect
3. C₁₃×#3547	C₂	semidirect
4. C₁₃×#3541	C₂	semidirect
5. C₁₃×#3518	C₂	semidirect
6. C₁₃×#3516	C₂	semidirect
7. C₁₃×#3515	C₂	semidirect
8. C₁₃×#3512	C₂	semidirect
9. C₁₃×#3511	C₂	semidirect
10. C₁₃×#3511	C₂	semidirect
11. C₁₃×#3509	C₂	semidirect
12. C₁₃×#3504	C₂	semidirect
13. C₁₃×#3503	C₂	semidirect
14. C₁₃×#3493	C₂	semidirect
15. C₁₃×#3444	C₂	semidirect
16. C₁₃×#3444	C₂	semidirect
17. C₂×C₁₃×#533	C₂	semidirect
20. Q₈²×C₁₃	C₂²	semidirect
21. C₁₃×#557	C₂²	semidirect
22. C₁₃×#557	C₂²	semidirect
23. C₁₃×#557	C₂²	semidirect
27. C₁₃×#556	C₂²	semidirect
28. C₁₃×#556	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
32. C₁₃×#555	C₂²	semidirect
35. C₁₃×#554	C₂²	semidirect
36. C₁₃×#554	C₂²	semidirect
37. C₁₃×#554	C₂²	semidirect
42. C₁₃×#553	C₂²	semidirect
46. C₁₃×#552	C₂²	semidirect
47. C₁₃×#552	C₂²	semidirect
48. C₁₃×#552	C₂²	semidirect
50. D₄×Q₈×C₁₃	C₂²	semidirect
53. C₁₃×#548	C₂²	semidirect
55. C₁₃×#547	C₂²	semidirect
57. C₁₃×#544	C₂²	semidirect
58. C₁₃×#544	C₂²	semidirect
61. C₁₃×#542	C₂²	semidirect
62. C₁₃×#542	C₂²	semidirect
63. C₁₃×#542	C₂²	semidirect
65. C₁₃×#541	C₂²	semidirect
66. C₁₃×#541	C₂²	semidirect
67. C₁₃×#541	C₂²	semidirect
68. C₁₃×#540	C₂²	semidirect
82. C₁₃×#533	C₂²	semidirect
83. C₁₃×#533	C₂²	semidirect
84. C₁₃×#533	C₂²	semidirect
89. C₁₃×#532	C₂²	semidirect
91. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
100. C₁₃×#529	C₂²	semidirect
102. C₂×C₁₃×#125	C₂²	semidirect
110. C₁₃×#520	C₂²	semidirect
111. C₁₃×#519	C₂²	semidirect
304. #62838	C₁₃	direct (N × H)
415. #3565	C₂×C₁₃	semidirect
416. #3555	C₂×C₁₃	semidirect
417. #3547	C₂×C₁₃	semidirect
418. #3541	C₂×C₁₃	semidirect
419. #3518	C₂×C₁₃	semidirect
420. #3516	C₂×C₁₃	semidirect
421. #3515	C₂×C₁₃	semidirect
422. #3512	C₂×C₁₃	semidirect
423. #3511	C₂×C₁₃	semidirect
424. #3511	C₂×C₁₃	semidirect
425. #3509	C₂×C₁₃	semidirect
426. #3504	C₂×C₁₃	semidirect
427. #3503	C₂×C₁₃	semidirect
428. #3493	C₂×C₁₃	semidirect
429. #3444	C₂×C₁₃	semidirect
430. #3444	C₂×C₁₃	semidirect
431. C₂×#533	C₂×C₁₃	semidirect
488. Q₈²	C₂²×C₁₃	semidirect
489. #557	C₂²×C₁₃	semidirect
490. #557	C₂²×C₁₃	semidirect
491. #557	C₂²×C₁₃	semidirect
495. #556	C₂²×C₁₃	semidirect
496. #556	C₂²×C₁₃	semidirect
497. #556	C₂²×C₁₃	semidirect
500. #555	C₂²×C₁₃	semidirect
503. #554	C₂²×C₁₃	semidirect
504. #554	C₂²×C₁₃	semidirect
505. #554	C₂²×C₁₃	semidirect
510. #553	C₂²×C₁₃	semidirect
514. #552	C₂²×C₁₃	semidirect
515. #552	C₂²×C₁₃	semidirect
516. #552	C₂²×C₁₃	semidirect
518. D₄×Q₈	C₂²×C₁₃	semidirect
521. #548	C₂²×C₁₃	semidirect
523. #547	C₂²×C₁₃	semidirect
525. #544	C₂²×C₁₃	semidirect
526. #544	C₂²×C₁₃	semidirect
529. #542	C₂²×C₁₃	semidirect
530. #542	C₂²×C₁₃	semidirect
531. #542	C₂²×C₁₃	semidirect
533. #541	C₂²×C₁₃	semidirect
534. #541	C₂²×C₁₃	semidirect
535. #541	C₂²×C₁₃	semidirect
536. #540	C₂²×C₁₃	semidirect
550. #533	C₂²×C₁₃	semidirect
551. #533	C₂²×C₁₃	semidirect
552. #533	C₂²×C₁₃	semidirect
557. #532	C₂²×C₁₃	semidirect
559. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
568. #529	C₂²×C₁₃	semidirect
570. C₂×#125	C₂²×C₁₃	semidirect
578. #520	C₂²×C₁₃	semidirect
579. #519	C₂²×C₁₃	semidirect
913. C₁₃	#62838	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×#3555	2
C₁₃×#3547	2
C₁₃×#3541	2
C₁₃×#3518	2
C₁₃×#3516	2
C₁₃×#3515	2
C₁₃×#3512	2
C₁₃×#3511	2
C₁₃×#3509	2
C₁₃×#3504	2
C₁₃×#3503	2
C₁₃×#3493	2
C₁₃×#3444	2
C₂×C₁₃×#533	2
#62838	13

Subgroups — C13×#62838 #15749177

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62838 #15749177