Subgroups — C₁₃×#62945 #15749284

Order 3328.

6478 conjugacy classes of subgroups.

The subgroup lattice has 992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3563	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3563	C₂	1	8	yes	maximal, complemented
3	C₁₃×#3555	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3552	C₂	1	8	yes	maximal, complemented
5	C₁₃×#3544	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3538	C₂	1	8	yes	maximal, complemented
7	C₁₃×#3520	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3515	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3503	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3503	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3502	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3495	C₂	1	4	yes	maximal, complemented
13	C₁₃×#3492	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3475	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₃×#554	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₁₃×#544	C₂	1	2	yes	maximal, complemented
18	C₁₃×#564	C₂²	1	8	yes	complemented
19	C₁₃×#563	C₂²	1	16	yes	complemented
20	C₁₃×#563	C₂²	1	16	yes	complemented
21	C₁₃×#563	C₂²	1	8	yes	complemented
22	Q₈²×C₁₃	C₂²	1	4	yes	complemented
23	Q₈²×C₁₃	C₂²	1	4	yes	complemented
24	C₁₃×#557	C₂²	1	8	yes	complemented
25	C₁₃×#557	C₂²	1	8	yes	complemented
26	C₁₃×#557	C₂²	1	4	yes	complemented
27	C₁₃×#557	C₂²	1	4	yes	complemented
28	C₁₃×#556	C₂²	1	4	yes	—
29	C₁₃×#556	C₂²	1	2	yes	—
30	C₁₃×#556	C₂²	1	8	yes	complemented
31	C₁₃×#555	C₂²	1	2	yes	—
32	C₁₃×#554	C₂²	1	8	yes	—
33	C₁₃×#554	C₂²	1	4	yes	—
34	C₁₃×#554	C₂²	1	8	yes	—
35	C₁₃×#554	C₂²	1	4	yes	—
36	C₁₃×#554	C₂²	1	2	yes	—
37	C₁₃×#554	C₂²	1	4	yes	complemented
38	C₁₃×#554	C₂²	1	8	yes	complemented
39	C₁₃×#554	C₂²	1	8	yes	complemented
40	C₁₃×#553	C₂²	1	4	yes	—
41	C₁₃×#553	C₂²	1	8	yes	complemented
42	C₁₃×#552	C₂²	1	8	yes	—
43	C₁₃×#552	C₂²	1	16	yes	—
44	C₁₃×#552	C₂²	1	4	yes	—
45	C₁₃×#552	C₂²	1	4	yes	—
46	C₁₃×#552	C₂²	1	16	yes	complemented
47	C₁₃×#552	C₂²	1	8	yes	complemented
48	C₁₃×#552	C₂²	1	8	yes	complemented
49	C₁₃×#552	C₂²	1	8	yes	complemented
50	C₁₃×#552	C₂²	1	8	yes	complemented
51	C₁₃×#551	C₂²	1	16	yes	—
52	C₁₃×#551	C₂²	1	8	yes	—
53	D₄×Q₈×C₁₃	C₂²	1	4	yes	—
54	D₄×Q₈×C₁₃	C₂²	1	8	yes	—
55	D₄×Q₈×C₁₃	C₂²	1	16	yes	complemented
56	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
57	C₁₃×#548	C₂²	1	8	yes	—
58	C₁₃×#547	C₂²	1	4	yes	—
59	C₁₃×#547	C₂²	1	4	yes	—
60	C₁₃×#547	C₂²	1	2	yes	—
61	C₁₃×#547	C₂²	1	8	yes	complemented
62	C₁₃×#546	C₂²	1	4	yes	—
63	C₁₃×#544	C₂²	1	4	yes	—
64	C₁₃×#544	C₂²	1	8	yes	—
65	C₁₃×#544	C₂²	1	1	yes	characteristic
66	C₁₃×#544	C₂²	1	2	yes	—
67	C₁₃×#544	C₂²	1	4	yes	—
68	C₁₃×#544	C₂²	1	16	yes	complemented
69	C₁₃×#544	C₂²	1	8	yes	complemented
70	C₁₃×#544	C₂²	1	8	yes	complemented
71	C₁₃×#544	C₂²	1	8	yes	complemented
72	C₁₃×#544	C₂²	1	8	yes	complemented
73	C₁₃×#542	C₂²	1	8	yes	—
74	C₁₃×#542	C₂²	1	8	yes	complemented
75	C₁₃×#542	C₂²	1	4	yes	complemented
76	C₁₃×#541	C₂²	1	16	yes	complemented
77	C₁₃×#541	C₂²	1	16	yes	complemented
78	C₁₃×#541	C₂²	1	8	yes	complemented
79	C₁₃×#541	C₂²	1	8	yes	complemented
80	C₁₃×#541	C₂²	1	4	yes	complemented
81	C₁₃×#539	C₂²	1	16	yes	—
82	C₁₃×#539	C₂²	1	4	yes	—
83	C₁₃×#539	C₂²	1	8	yes	—
84	C₁₃×#539	C₂²	1	16	yes	complemented
85	C₁₃×#537	C₂²	1	1	yes	characteristic
86	C₁₃×#536	C₂²	1	2	yes	—
87	C₁₃×#536	C₂²	1	16	yes	complemented
88	C₁₃×#533	C₂²	1	4	yes	—
89	C₁₃×#533	C₂²	1	2	yes	—
90	C₁₃×#533	C₂²	1	4	yes	complemented
91	C₁₃×#533	C₂²	1	4	yes	complemented
92	C₁₃×#533	C₂²	1	8	yes	complemented
93	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
94	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
95	C₂×C₁₃×C₄⋊Q₈	C₂²	1	8	yes	complemented
96	C₁₃×#529	C₂²	1	4	yes	—
97	C₁₃×#529	C₂²	1	4	yes	—
98	C₁₃×#529	C₂²	1	8	yes	—
99	C₁₃×#529	C₂²	1	4	yes	complemented
100	C₁₃×#529	C₂²	1	8	yes	complemented
101	C₂×C₁₃×#125	C₂²	1	2	yes	—
102	C₂×C₁₃×#125	C₂²	1	8	yes	complemented
103	C₁₃×#525	C₂²	1	8	yes	—
104	C₁₃×#525	C₂²	1	4	yes	—
105	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	8	yes	—
106	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
107	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
108	C₁₃×#520	C₂²	1	8	yes	—
109	C₁₃×#520	C₂²	1	4	yes	—
110	C₁₃×#519	C₂²	1	2	yes	—
111	C₄×C₁₃×#41	C₂²	1	2	yes	—
112	C₄×C₁₃×#41	C₂²	1	4	yes	—
113	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
114	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
115	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
116	C₂×C₁₃×#117	C₂²	1	4	yes	—
117	C₂²×C₁₃×C₄⋊C₄	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	8	yes	—
121	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
122	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
123	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
124	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
125	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
127	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
128	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
129	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
130	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
131	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
132	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
133	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
134	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
135	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
136	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
137	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
138	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
139	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
140	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
141	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
142	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
143	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
144	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
145	C₁₃×#126	C₂³	1	8	yes	—
146	C₁₃×#126	C₂³	1	8	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×#126	C₂³	1	16	yes	—
153	C₁₃×#126	C₂³	1	16	yes	—
154	C₁₃×#126	C₂³	1	16	yes	—
155	C₁₃×#125	C₂³	1	8	yes	—
156	C₁₃×#125	C₂³	1	8	yes	—
157	C₁₃×#125	C₂³	1	4	yes	—
158	C₁₃×#125	C₂³	1	8	yes	—
159	C₁₃×#125	C₂³	1	16	yes	—
160	C₁₃×#125	C₂³	1	8	yes	—
161	C₁₃×#125	C₂³	1	16	yes	—
162	C₁₃×#125	C₂³	1	8	yes	—
163	C₁₃×#125	C₂³	1	8	yes	—
164	C₁₃×#125	C₂³	1	4	yes	—
165	C₁₃×#125	C₂³	1	4	yes	—
166	C₁₃×#125	C₂³	1	8	yes	—
167	C₁₃×#125	C₂³	1	4	yes	—
168	C₁₃×#125	C₂³	1	8	yes	—
169	C₁₃×#125	C₂³	1	16	yes	—
170	C₁₃×#125	C₂³	1	16	yes	—
171	C₁₃×#125	C₂³	1	16	yes	—
172	C₁₃×#125	C₂³	1	16	yes	—
173	C₁₃×#125	C₂³	1	16	yes	—
174	C₁₃×#125	C₂³	1	16	yes	—
175	C₁₃×#124	C₂³	1	8	yes	—
176	C₁₃×#124	C₂³	1	4	yes	—
177	C₁₃×#124	C₂³	1	4	yes	—
178	C₁₃×#124	C₂³	1	4	yes	—
179	C₁₃×#124	C₂³	1	16	yes	—
180	C₁₃×#123	C₂³	1	8	yes	—
181	C₁₃×#123	C₂³	1	16	yes	—
182	C₁₃×#123	C₂³	1	8	yes	—
183	C₁₃×#123	C₂³	1	8	yes	—
184	C₁₃×#123	C₂³	1	8	yes	—
185	C₁₃×#123	C₂³	1	8	yes	—
186	C₁₃×#123	C₂³	1	8	yes	—
187	C₁₃×#123	C₂³	1	16	yes	—
188	C₁₃×#123	C₂³	1	16	yes	—
189	C₁₃×#123	C₂³	1	16	yes	—
190	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
191	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
192	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
193	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
194	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
195	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
203	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
204	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
205	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
206	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
207	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
213	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
214	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
215	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
216	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
218	C₁₃×#121	C₂³	1	4	yes	—
219	C₁₃×#121	C₂³	1	4	yes	—
220	C₁₃×#121	C₂³	1	8	yes	—
221	C₁₃×#121	C₂³	1	4	yes	—
222	C₁₃×#121	C₂³	1	8	yes	—
223	C₁₃×#121	C₂³	1	4	yes	—
224	C₁₃×#121	C₂³	1	4	yes	—
225	C₁₃×#120	C₂³	1	8	yes	—
226	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
227	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
228	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
229	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	4	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	8	yes	—
237	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
238	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
239	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
240	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
241	C₄×Q₈×C₁₃	C₂³	1	16	yes	—
242	C₄×D₄×C₁₃	C₂³	1	2	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	8	yes	—
247	C₄×D₄×C₁₃	C₂³	1	4	yes	—
248	C₄×D₄×C₁₃	C₂³	1	4	yes	—
249	C₄×D₄×C₁₃	C₂³	1	8	yes	—
250	C₄×D₄×C₁₃	C₂³	1	4	yes	—
251	C₄×D₄×C₁₃	C₂³	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	4	yes	—
253	C₄×D₄×C₁₃	C₂³	1	8	yes	—
254	C₄×D₄×C₁₃	C₂³	1	2	yes	—
255	C₄×D₄×C₁₃	C₂³	1	16	yes	—
256	C₄×D₄×C₁₃	C₂³	1	16	yes	—
257	C₄×D₄×C₁₃	C₂³	1	16	yes	—
258	C₄×D₄×C₁₃	C₂³	1	8	yes	—
259	C₄×D₄×C₁₃	C₂³	1	8	yes	—
260	C₄×D₄×C₁₃	C₂³	1	4	yes	—
261	C₁₃×#117	C₂³	1	2	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	4	yes	—
267	C₁₃×#117	C₂³	1	4	yes	—
268	C₁₃×#117	C₂³	1	8	yes	—
269	C₁₃×#117	C₂³	1	4	yes	—
270	C₁₃×#117	C₂³	1	8	yes	—
271	C₁₃×#117	C₂³	1	8	yes	—
272	C₁₃×#117	C₂³	1	16	yes	—
273	C₁₃×#117	C₂³	1	8	yes	—
274	C₁₃×#117	C₂³	1	8	yes	—
275	C₁₃×#117	C₂³	1	16	yes	—
276	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
278	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
279	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
281	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
282	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
283	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
285	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
286	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	—
287	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
288	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
289	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
291	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
292	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
293	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
294	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
295	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
297	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
298	#62945	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
299	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
300	C₁₃×#41	—	2	16	no	—
301	C₁₃×#41	—	2	8	no	—
302	C₁₃×#41	—	8	8	no	—
303	C₂×Q₈×C₁₃	—	2	4	no	—
304	C₂×Q₈×C₁₃	—	8	2	no	—
305	C₂×Q₈×C₁₃	—	8	8	no	—
306	C₂×Q₈×C₁₃	—	8	8	no	—
307	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
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	16	yes	—
313	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
314	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
315	C₂×D₄×C₁₃	—	2	4	no	—
316	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
317	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
318	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
319	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
320	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
321	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
322	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
323	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₁₃	—	2	8	no	—
325	C₂²×C₄×C₁₃	—	8	4	no	—
326	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
328	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
330	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
331	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
332	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
333	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
334	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
336	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
338	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
339	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
340	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
341	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
342	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
343	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
344	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
345	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
346	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
347	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
348	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
349	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
350	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
351	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
352	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
353	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
354	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
355	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
356	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
357	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
358	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
359	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
360	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
361	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
362	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
363	C₁₃×C₄⋊C₄	C₂⁴	1	16	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	8	yes	—
368	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
369	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
370	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
371	C₁₃×C₄⋊C₄	C₂⁴	1	8	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	8	yes	—
376	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
377	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
378	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
379	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
380	C₁₃×C₂²⋊C₄	C₂⁴	1	8	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	8	yes	—
385	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
386	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
387	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
388	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
389	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
390	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
391	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
392	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
393	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
394	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
395	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
396	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
397	C₄²×C₁₃	C₂⁴	1	4	yes	—
398	C₄²×C₁₃	C₂⁴	1	2	yes	—
399	C₄²×C₁₃	C₂⁴	1	8	yes	—
400	C₄²×C₁₃	C₂⁴	1	4	yes	—
401	C₄²×C₁₃	C₂⁴	1	8	yes	—
402	C₄²×C₁₃	C₂⁴	1	2	yes	—
403	C₄²×C₁₃	C₂⁴	1	4	yes	—
404	C₄²×C₁₃	C₂⁴	1	8	yes	—
405	C₄²×C₁₃	C₂⁴	1	4	yes	—
406	C₄²×C₁₃	C₂⁴	1	4	yes	—
407	C₄²×C₁₃	C₂⁴	1	16	yes	—
408	C₄²×C₁₃	C₂⁴	1	16	yes	—
409	#3563	C₂×C₁₃	1	4	yes	complemented
410	#3563	C₂×C₁₃	1	8	yes	complemented
411	#3555	C₂×C₁₃	1	4	yes	complemented
412	#3552	C₂×C₁₃	1	8	yes	complemented
413	#3544	C₂×C₁₃	1	4	yes	complemented
414	#3538	C₂×C₁₃	1	8	yes	complemented
415	#3520	C₂×C₁₃	1	4	yes	complemented
416	#3515	C₂×C₁₃	1	4	yes	complemented
417	#3503	C₂×C₁₃	1	2	yes	complemented
418	#3503	C₂×C₁₃	1	4	yes	complemented
419	#3502	C₂×C₁₃	1	1	yes	characteristic, complemented
420	#3495	C₂×C₁₃	1	4	yes	complemented
421	#3492	C₂×C₁₃	1	2	yes	complemented
422	#3475	C₂×C₁₃	1	2	yes	complemented
423	C₂×#554	C₂×C₁₃	1	1	yes	characteristic, complemented
424	#3461	C₂×C₁₃	1	1	yes	characteristic, complemented
425	C₂×#544	C₂×C₁₃	1	2	yes	complemented
426	C₂³×C₁₃	—	2	4	no	—
427	C₂³×C₁₃	—	2	4	no	—
428	C₂³×C₁₃	—	4	2	no	—
429	C₂³×C₁₃	C₂⁵	1	2	yes	—
430	C₂³×C₁₃	C₂⁵	1	4	yes	—
431	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
432	C₂³×C₁₃	C₂⁵	1	2	yes	—
433	Q₈×C₁₃	—	2	8	no	—
434	Q₈×C₁₃	—	2	4	no	—
435	Q₈×C₁₃	—	2	8	no	—
436	Q₈×C₁₃	—	4	4	no	—
437	Q₈×C₁₃	—	4	8	no	—
438	Q₈×C₁₃	—	4	16	no	—
439	Q₈×C₁₃	—	4	4	no	—
440	Q₈×C₁₃	—	4	8	no	—
441	D₄×C₁₃	—	2	4	no	—
442	D₄×C₁₃	—	2	8	no	—
443	D₄×C₁₃	—	2	16	no	—
444	D₄×C₁₃	—	2	2	no	—
445	D₄×C₁₃	—	2	4	no	—
446	D₄×C₁₃	—	4	4	no	—
447	D₄×C₁₃	—	4	8	no	—
448	D₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
449	C₂×C₄×C₁₃	—	2	4	no	—
450	C₂×C₄×C₁₃	—	2	4	no	—
451	C₂×C₄×C₁₃	—	2	16	no	—
452	C₂×C₄×C₁₃	—	2	8	no	—
453	C₂×C₄×C₁₃	—	2	8	no	—
454	C₂×C₄×C₁₃	—	2	2	no	—
455	C₂×C₄×C₁₃	—	2	8	no	—
456	C₂×C₄×C₁₃	—	2	8	no	—
457	C₂×C₄×C₁₃	—	4	2	no	—
458	C₂×C₄×C₁₃	—	4	8	no	—
459	C₂×C₄×C₁₃	—	4	4	no	—
460	C₂×C₄×C₁₃	—	4	8	no	—
461	C₂×C₄×C₁₃	—	4	8	no	—
462	C₂×C₄×C₁₃	—	4	1	no	—
463	C₂×C₄×C₁₃	—	4	4	no	—
464	C₂×C₄×C₁₃	—	4	16	no	—
465	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
466	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
467	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
468	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
469	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
470	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
471	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
472	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
473	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
474	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
475	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
476	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
477	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
478	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
479	#564	C₂²×C₁₃	1	8	yes	complemented
480	#563	C₂²×C₁₃	1	16	yes	complemented
481	#563	C₂²×C₁₃	1	16	yes	complemented
482	#563	C₂²×C₁₃	1	8	yes	complemented
483	Q₈²	C₂²×C₁₃	1	4	yes	complemented
484	Q₈²	C₂²×C₁₃	1	4	yes	complemented
485	#557	C₂²×C₁₃	1	4	yes	complemented
486	#557	C₂²×C₁₃	1	8	yes	complemented
487	#557	C₂²×C₁₃	1	8	yes	complemented
488	#557	C₂²×C₁₃	1	4	yes	complemented
489	#556	C₂²×C₁₃	1	2	yes	—
490	#556	C₂²×C₁₃	1	4	yes	—
491	#556	C₂²×C₁₃	1	8	yes	complemented
492	#555	C₂²×C₁₃	1	2	yes	—
493	#554	C₂²×C₁₃	1	4	yes	—
494	#554	C₂²×C₁₃	1	4	yes	—
495	#554	C₂²×C₁₃	1	8	yes	—
496	#554	C₂²×C₁₃	1	2	yes	—
497	#554	C₂²×C₁₃	1	8	yes	—
498	#554	C₂²×C₁₃	1	8	yes	complemented
499	#554	C₂²×C₁₃	1	8	yes	complemented
500	#554	C₂²×C₁₃	1	4	yes	complemented
501	#553	C₂²×C₁₃	1	4	yes	—
502	#553	C₂²×C₁₃	1	8	yes	complemented
503	#552	C₂²×C₁₃	1	4	yes	—
504	#552	C₂²×C₁₃	1	4	yes	—
505	#552	C₂²×C₁₃	1	16	yes	—
506	#552	C₂²×C₁₃	1	8	yes	—
507	#552	C₂²×C₁₃	1	8	yes	complemented
508	#552	C₂²×C₁₃	1	8	yes	complemented
509	#552	C₂²×C₁₃	1	8	yes	complemented
510	#552	C₂²×C₁₃	1	16	yes	complemented
511	#552	C₂²×C₁₃	1	8	yes	complemented
512	#551	C₂²×C₁₃	1	8	yes	—
513	#551	C₂²×C₁₃	1	16	yes	—
514	D₄×Q₈	C₂²×C₁₃	1	4	yes	—
515	D₄×Q₈	C₂²×C₁₃	1	8	yes	—
516	D₄×Q₈	C₂²×C₁₃	1	16	yes	complemented
517	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
518	#548	C₂²×C₁₃	1	8	yes	—
519	#547	C₂²×C₁₃	1	2	yes	—
520	#547	C₂²×C₁₃	1	4	yes	—
521	#547	C₂²×C₁₃	1	4	yes	—
522	#547	C₂²×C₁₃	1	8	yes	complemented
523	#546	C₂²×C₁₃	1	4	yes	—
524	#544	C₂²×C₁₃	1	1	yes	characteristic
525	#544	C₂²×C₁₃	1	2	yes	—
526	#544	C₂²×C₁₃	1	4	yes	—
527	#544	C₂²×C₁₃	1	8	yes	—
528	#544	C₂²×C₁₃	1	4	yes	—
529	#544	C₂²×C₁₃	1	8	yes	complemented
530	#544	C₂²×C₁₃	1	8	yes	complemented
531	#544	C₂²×C₁₃	1	16	yes	complemented
532	#544	C₂²×C₁₃	1	8	yes	complemented
533	#544	C₂²×C₁₃	1	8	yes	complemented
534	#542	C₂²×C₁₃	1	8	yes	—
535	#542	C₂²×C₁₃	1	4	yes	complemented
536	#542	C₂²×C₁₃	1	8	yes	complemented
537	#541	C₂²×C₁₃	1	4	yes	complemented
538	#541	C₂²×C₁₃	1	8	yes	complemented
539	#541	C₂²×C₁₃	1	8	yes	complemented
540	#541	C₂²×C₁₃	1	16	yes	complemented
541	#541	C₂²×C₁₃	1	16	yes	complemented
542	#539	C₂²×C₁₃	1	4	yes	—
543	#539	C₂²×C₁₃	1	8	yes	—
544	#539	C₂²×C₁₃	1	16	yes	—
545	#539	C₂²×C₁₃	1	16	yes	complemented
546	#537	C₂²×C₁₃	1	1	yes	characteristic
547	#536	C₂²×C₁₃	1	2	yes	—
548	#536	C₂²×C₁₃	1	16	yes	complemented
549	#533	C₂²×C₁₃	1	2	yes	—
550	#533	C₂²×C₁₃	1	4	yes	—
551	#533	C₂²×C₁₃	1	4	yes	complemented
552	#533	C₂²×C₁₃	1	8	yes	complemented
553	#533	C₂²×C₁₃	1	4	yes	complemented
554	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
555	C₂×C₄⋊Q₈	C₂²×C₁₃	1	8	yes	complemented
556	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
557	#529	C₂²×C₁₃	1	4	yes	—
558	#529	C₂²×C₁₃	1	4	yes	—
559	#529	C₂²×C₁₃	1	8	yes	—
560	#529	C₂²×C₁₃	1	4	yes	complemented
561	#529	C₂²×C₁₃	1	8	yes	complemented
562	C₂×#125	C₂²×C₁₃	1	2	yes	—
563	C₂×#125	C₂²×C₁₃	1	8	yes	complemented
564	#525	C₂²×C₁₃	1	4	yes	—
565	#525	C₂²×C₁₃	1	8	yes	—
566	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	8	yes	—
567	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
568	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
569	#520	C₂²×C₁₃	1	4	yes	—
570	#520	C₂²×C₁₃	1	8	yes	—
571	#519	C₂²×C₁₃	1	2	yes	—
572	C₄×#41	C₂²×C₁₃	1	2	yes	—
573	C₄×#41	C₂²×C₁₃	1	4	yes	—
574	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
575	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
576	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
577	C₂×#117	C₂²×C₁₃	1	4	yes	—
578	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
579	C₂²×C₁₃	—	2	2	no	—
580	C₂²×C₁₃	—	2	1	no	—
581	C₂²×C₁₃	—	2	2	no	—
582	C₂²×C₁₃	—	2	1	no	—
583	C₂²×C₁₃	—	2	2	no	—
584	C₂²×C₁₃	—	2	4	no	—
585	C₂²×C₁₃	—	2	4	no	—
586	C₂²×C₁₃	—	2	2	no	—
587	C₂²×C₁₃	—	2	4	no	—
588	C₂²×C₁₃	—	2	2	no	—
589	C₂²×C₁₃	—	4	8	no	—
590	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
591	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
592	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
593	C₄×C₁₃	—	2	4	no	—
594	C₄×C₁₃	—	2	4	no	—
595	C₄×C₁₃	—	2	1	no	—
596	C₄×C₁₃	—	2	8	no	—
597	C₄×C₁₃	—	2	4	no	—
598	C₄×C₁₃	—	2	4	no	—
599	C₄×C₁₃	—	2	4	no	—
600	C₄×C₁₃	—	2	8	no	—
601	C₄×C₁₃	—	2	8	no	—
602	C₄×C₁₃	—	2	4	no	—
603	C₄×C₁₃	—	2	2	no	—
604	C₄×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
605	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
606	C₂×#41	C₂³×C₁₃	1	2	yes	—
607	C₂×#41	C₂³×C₁₃	1	4	yes	—
608	C₂×#41	C₂³×C₁₃	1	8	yes	—
609	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
610	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
611	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
612	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
613	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
614	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
615	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
616	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
617	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
618	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
619	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
620	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
621	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
622	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
623	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
624	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
625	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
626	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
627	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
628	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
629	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
630	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
631	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
632	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
633	#126	C₂³×C₁₃	1	8	yes	—
634	#126	C₂³×C₁₃	1	8	yes	—
635	#126	C₂³×C₁₃	1	8	yes	—
636	#126	C₂³×C₁₃	1	8	yes	—
637	#126	C₂³×C₁₃	1	8	yes	—
638	#126	C₂³×C₁₃	1	16	yes	—
639	#126	C₂³×C₁₃	1	16	yes	—
640	#126	C₂³×C₁₃	1	16	yes	—
641	#126	C₂³×C₁₃	1	16	yes	—
642	#126	C₂³×C₁₃	1	16	yes	—
643	#125	C₂³×C₁₃	1	8	yes	—
644	#125	C₂³×C₁₃	1	8	yes	—
645	#125	C₂³×C₁₃	1	4	yes	—
646	#125	C₂³×C₁₃	1	8	yes	—
647	#125	C₂³×C₁₃	1	16	yes	—
648	#125	C₂³×C₁₃	1	8	yes	—
649	#125	C₂³×C₁₃	1	16	yes	—
650	#125	C₂³×C₁₃	1	8	yes	—
651	#125	C₂³×C₁₃	1	8	yes	—
652	#125	C₂³×C₁₃	1	4	yes	—
653	#125	C₂³×C₁₃	1	4	yes	—
654	#125	C₂³×C₁₃	1	8	yes	—
655	#125	C₂³×C₁₃	1	4	yes	—
656	#125	C₂³×C₁₃	1	8	yes	—
657	#125	C₂³×C₁₃	1	16	yes	—
658	#125	C₂³×C₁₃	1	16	yes	—
659	#125	C₂³×C₁₃	1	16	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	8	yes	—
664	#124	C₂³×C₁₃	1	4	yes	—
665	#124	C₂³×C₁₃	1	4	yes	—
666	#124	C₂³×C₁₃	1	4	yes	—
667	#124	C₂³×C₁₃	1	16	yes	—
668	#123	C₂³×C₁₃	1	8	yes	—
669	#123	C₂³×C₁₃	1	16	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	8	yes	—
675	#123	C₂³×C₁₃	1	16	yes	—
676	#123	C₂³×C₁₃	1	16	yes	—
677	#123	C₂³×C₁₃	1	16	yes	—
678	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
679	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
680	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
681	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
682	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
683	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
684	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
685	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
686	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
687	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
688	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
689	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
690	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
691	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
692	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
693	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
694	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
695	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
696	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
697	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
698	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
699	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
700	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
701	C₂²⋊Q₈	C₂³×C₁₃	1	8	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	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
706	#121	C₂³×C₁₃	1	4	yes	—
707	#121	C₂³×C₁₃	1	4	yes	—
708	#121	C₂³×C₁₃	1	8	yes	—
709	#121	C₂³×C₁₃	1	4	yes	—
710	#121	C₂³×C₁₃	1	8	yes	—
711	#121	C₂³×C₁₃	1	4	yes	—
712	#121	C₂³×C₁₃	1	4	yes	—
713	#120	C₂³×C₁₃	1	8	yes	—
714	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
715	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
716	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
717	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
718	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
719	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
720	C₄×Q₈	C₂³×C₁₃	1	8	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	8	yes	—
728	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
729	C₄×Q₈	C₂³×C₁₃	1	16	yes	—
730	C₄×D₄	C₂³×C₁₃	1	2	yes	—
731	C₄×D₄	C₂³×C₁₃	1	4	yes	—
732	C₄×D₄	C₂³×C₁₃	1	4	yes	—
733	C₄×D₄	C₂³×C₁₃	1	2	yes	—
734	C₄×D₄	C₂³×C₁₃	1	8	yes	—
735	C₄×D₄	C₂³×C₁₃	1	4	yes	—
736	C₄×D₄	C₂³×C₁₃	1	4	yes	—
737	C₄×D₄	C₂³×C₁₃	1	8	yes	—
738	C₄×D₄	C₂³×C₁₃	1	4	yes	—
739	C₄×D₄	C₂³×C₁₃	1	2	yes	—
740	C₄×D₄	C₂³×C₁₃	1	4	yes	—
741	C₄×D₄	C₂³×C₁₃	1	8	yes	—
742	C₄×D₄	C₂³×C₁₃	1	2	yes	—
743	C₄×D₄	C₂³×C₁₃	1	16	yes	—
744	C₄×D₄	C₂³×C₁₃	1	16	yes	—
745	C₄×D₄	C₂³×C₁₃	1	16	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	#117	C₂³×C₁₃	1	2	yes	—
750	#117	C₂³×C₁₃	1	4	yes	—
751	#117	C₂³×C₁₃	1	8	yes	—
752	#117	C₂³×C₁₃	1	8	yes	—
753	#117	C₂³×C₁₃	1	4	yes	—
754	#117	C₂³×C₁₃	1	4	yes	—
755	#117	C₂³×C₁₃	1	4	yes	—
756	#117	C₂³×C₁₃	1	8	yes	—
757	#117	C₂³×C₁₃	1	4	yes	—
758	#117	C₂³×C₁₃	1	8	yes	—
759	#117	C₂³×C₁₃	1	8	yes	—
760	#117	C₂³×C₁₃	1	16	yes	—
761	#117	C₂³×C₁₃	1	8	yes	—
762	#117	C₂³×C₁₃	1	8	yes	—
763	#117	C₂³×C₁₃	1	16	yes	—
764	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
766	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
767	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
768	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
769	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
770	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
771	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
772	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
773	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
774	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	—
775	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
776	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
777	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
778	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
779	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
780	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
781	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
782	C₂×C₄²	C₂³×C₁₃	1	8	yes	—
783	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
784	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
785	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
786	C₂×C₁₃	—	2	2	no	—
787	C₂×C₁₃	—	2	4	no	—
788	C₂×C₁₃	—	4	4	no	—
789	C₂×C₁₃	—	4	2	no	—
790	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
791	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
792	C₂×C₁₃	H(7,𝔽₂)	1	1	yes	characteristic
793	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
794	#41	—	2	16	no	—
795	#41	—	2	8	no	—
796	#41	—	8	8	no	—
797	C₂×Q₈	—	2	4	no	—
798	C₂×Q₈	—	8	2	no	—
799	C₂×Q₈	—	8	8	no	—
800	C₂×Q₈	—	8	8	no	—
801	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
802	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
803	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
804	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
805	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
806	C₂×Q₈	C₂⁴×C₁₃	1	16	yes	—
807	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
808	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
809	C₂×D₄	—	2	4	no	—
810	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
811	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
812	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
813	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
814	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
815	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
816	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
817	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
818	C₂²×C₄	—	2	8	no	—
819	C₂²×C₄	—	8	4	no	—
820	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
821	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
822	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
823	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
824	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
825	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
826	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
827	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
828	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
829	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
830	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
831	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
832	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
833	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
834	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
835	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
836	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
837	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
838	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
839	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
840	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
841	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
842	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
843	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
844	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
845	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
846	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
847	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
848	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
849	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
850	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
851	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
852	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
853	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
854	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
855	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
856	C₄⋊C₄	C₂⁴×C₁₃	1	2	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	8	yes	—
861	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
862	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
863	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
864	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
865	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
866	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
867	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
868	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
869	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
870	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
871	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
872	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
873	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
874	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
875	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
876	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
877	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
878	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
879	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
880	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
881	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
882	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
883	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
884	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
885	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
886	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
887	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
888	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
889	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
890	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
891	C₄²	C₂⁴×C₁₃	1	4	yes	—
892	C₄²	C₂⁴×C₁₃	1	2	yes	—
893	C₄²	C₂⁴×C₁₃	1	8	yes	—
894	C₄²	C₂⁴×C₁₃	1	4	yes	—
895	C₄²	C₂⁴×C₁₃	1	8	yes	—
896	C₄²	C₂⁴×C₁₃	1	2	yes	—
897	C₄²	C₂⁴×C₁₃	1	4	yes	—
898	C₄²	C₂⁴×C₁₃	1	8	yes	—
899	C₄²	C₂⁴×C₁₃	1	4	yes	—
900	C₄²	C₂⁴×C₁₃	1	4	yes	—
901	C₄²	C₂⁴×C₁₃	1	16	yes	—
902	C₄²	C₂⁴×C₁₃	1	16	yes	—
903	C₁₃	#62945	1	1	yes	characteristic, direct product factor, Sylow
904	C₂³	—	2	4	no	—
905	C₂³	—	2	4	no	—
906	C₂³	—	4	2	no	—
907	C₂³	C₂⁵×C₁₃	1	2	yes	—
908	C₂³	C₂⁵×C₁₃	1	4	yes	—
909	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
910	C₂³	C₂⁵×C₁₃	1	2	yes	—
911	Q₈	—	2	8	no	—
912	Q₈	—	2	4	no	—
913	Q₈	—	2	8	no	—
914	Q₈	—	4	4	no	—
915	Q₈	—	4	8	no	—
916	Q₈	—	4	16	no	—
917	Q₈	—	4	4	no	—
918	Q₈	—	4	8	no	—
919	D₄	—	2	4	no	—
920	D₄	—	2	8	no	—
921	D₄	—	2	16	no	—
922	D₄	—	2	2	no	—
923	D₄	—	2	4	no	—
924	D₄	—	4	4	no	—
925	D₄	—	4	8	no	—
926	D₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
927	C₂×C₄	—	2	4	no	—
928	C₂×C₄	—	2	4	no	—
929	C₂×C₄	—	2	16	no	—
930	C₂×C₄	—	2	8	no	—
931	C₂×C₄	—	2	8	no	—
932	C₂×C₄	—	2	2	no	—
933	C₂×C₄	—	2	8	no	—
934	C₂×C₄	—	2	8	no	—
935	C₂×C₄	—	4	2	no	—
936	C₂×C₄	—	4	8	no	—
937	C₂×C₄	—	4	4	no	—
938	C₂×C₄	—	4	8	no	—
939	C₂×C₄	—	4	8	no	—
940	C₂×C₄	—	4	1	no	—
941	C₂×C₄	—	4	4	no	—
942	C₂×C₄	—	4	16	no	—
943	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
944	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
945	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
946	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
947	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
948	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
949	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
950	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
951	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
952	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
953	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
954	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
955	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
956	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
957	C₂²	—	2	2	no	—
958	C₂²	—	2	1	no	—
959	C₂²	—	2	2	no	—
960	C₂²	—	2	1	no	—
961	C₂²	—	2	2	no	—
962	C₂²	—	2	4	no	—
963	C₂²	—	2	4	no	—
964	C₂²	—	2	2	no	—
965	C₂²	—	2	4	no	—
966	C₂²	—	2	2	no	—
967	C₂²	—	4	8	no	—
968	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
969	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	4	yes	—
970	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
971	C₄	—	2	4	no	—
972	C₄	—	2	4	no	—
973	C₄	—	2	1	no	—
974	C₄	—	2	8	no	—
975	C₄	—	2	4	no	—
976	C₄	—	2	4	no	—
977	C₄	—	2	4	no	—
978	C₄	—	2	8	no	—
979	C₄	—	2	8	no	—
980	C₄	—	2	4	no	—
981	C₄	—	2	2	no	—
982	C₄	C₂×C₁₃×2₋¹⁺⁴	1	4	yes	—
983	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
984	C₂	—	2	2	no	—
985	C₂	—	2	4	no	—
986	C₂	—	4	2	no	—
987	C₂	—	4	4	no	—
988	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
989	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
990	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×#3563	C₂	semidirect
2. C₁₃×#3563	C₂	semidirect
3. C₁₃×#3555	C₂	semidirect
4. C₁₃×#3552	C₂	semidirect
5. C₁₃×#3544	C₂	semidirect
6. C₁₃×#3538	C₂	semidirect
7. C₁₃×#3520	C₂	semidirect
8. C₁₃×#3515	C₂	semidirect
9. C₁₃×#3503	C₂	semidirect
10. C₁₃×#3503	C₂	semidirect
11. C₁₃×#3502	C₂	semidirect
12. C₁₃×#3495	C₂	semidirect
13. C₁₃×#3492	C₂	semidirect
14. C₁₃×#3475	C₂	semidirect
15. C₂×C₁₃×#554	C₂	semidirect
16. C₁₃×#3461	C₂	semidirect
17. C₂×C₁₃×#544	C₂	semidirect
18. C₁₃×#564	C₂²	semidirect
19. C₁₃×#563	C₂²	semidirect
20. C₁₃×#563	C₂²	semidirect
21. C₁₃×#563	C₂²	semidirect
22. Q₈²×C₁₃	C₂²	semidirect
23. Q₈²×C₁₃	C₂²	semidirect
24. C₁₃×#557	C₂²	semidirect
25. C₁₃×#557	C₂²	semidirect
26. C₁₃×#557	C₂²	semidirect
27. C₁₃×#557	C₂²	semidirect
30. C₁₃×#556	C₂²	semidirect
37. C₁₃×#554	C₂²	semidirect
38. C₁₃×#554	C₂²	semidirect
39. C₁₃×#554	C₂²	semidirect
41. C₁₃×#553	C₂²	semidirect
46. C₁₃×#552	C₂²	semidirect
47. C₁₃×#552	C₂²	semidirect
48. C₁₃×#552	C₂²	semidirect
49. C₁₃×#552	C₂²	semidirect
50. C₁₃×#552	C₂²	semidirect
55. D₄×Q₈×C₁₃	C₂²	semidirect
56. D₄×Q₈×C₁₃	C₂²	semidirect
61. C₁₃×#547	C₂²	semidirect
68. C₁₃×#544	C₂²	semidirect
69. C₁₃×#544	C₂²	semidirect
70. C₁₃×#544	C₂²	semidirect
71. C₁₃×#544	C₂²	semidirect
72. C₁₃×#544	C₂²	semidirect
74. C₁₃×#542	C₂²	semidirect
75. C₁₃×#542	C₂²	semidirect
76. C₁₃×#541	C₂²	semidirect
77. C₁₃×#541	C₂²	semidirect
78. C₁₃×#541	C₂²	semidirect
79. C₁₃×#541	C₂²	semidirect
80. C₁₃×#541	C₂²	semidirect
84. C₁₃×#539	C₂²	semidirect
87. C₁₃×#536	C₂²	semidirect
90. C₁₃×#533	C₂²	semidirect
91. C₁₃×#533	C₂²	semidirect
92. C₁₃×#533	C₂²	semidirect
94. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
95. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
99. C₁₃×#529	C₂²	semidirect
100. C₁₃×#529	C₂²	semidirect
102. C₂×C₁₃×#125	C₂²	semidirect
298. #62945	C₁₃	direct (N × H)
409. #3563	C₂×C₁₃	semidirect
410. #3563	C₂×C₁₃	semidirect
411. #3555	C₂×C₁₃	semidirect
412. #3552	C₂×C₁₃	semidirect
413. #3544	C₂×C₁₃	semidirect
414. #3538	C₂×C₁₃	semidirect
415. #3520	C₂×C₁₃	semidirect
416. #3515	C₂×C₁₃	semidirect
417. #3503	C₂×C₁₃	semidirect
418. #3503	C₂×C₁₃	semidirect
419. #3502	C₂×C₁₃	semidirect
420. #3495	C₂×C₁₃	semidirect
421. #3492	C₂×C₁₃	semidirect
422. #3475	C₂×C₁₃	semidirect
423. C₂×#554	C₂×C₁₃	semidirect
424. #3461	C₂×C₁₃	semidirect
425. C₂×#544	C₂×C₁₃	semidirect
479. #564	C₂²×C₁₃	semidirect
480. #563	C₂²×C₁₃	semidirect
481. #563	C₂²×C₁₃	semidirect
482. #563	C₂²×C₁₃	semidirect
483. Q₈²	C₂²×C₁₃	semidirect
484. Q₈²	C₂²×C₁₃	semidirect
485. #557	C₂²×C₁₃	semidirect
486. #557	C₂²×C₁₃	semidirect
487. #557	C₂²×C₁₃	semidirect
488. #557	C₂²×C₁₃	semidirect
491. #556	C₂²×C₁₃	semidirect
498. #554	C₂²×C₁₃	semidirect
499. #554	C₂²×C₁₃	semidirect
500. #554	C₂²×C₁₃	semidirect
502. #553	C₂²×C₁₃	semidirect
507. #552	C₂²×C₁₃	semidirect
508. #552	C₂²×C₁₃	semidirect
509. #552	C₂²×C₁₃	semidirect
510. #552	C₂²×C₁₃	semidirect
511. #552	C₂²×C₁₃	semidirect
516. D₄×Q₈	C₂²×C₁₃	semidirect
517. D₄×Q₈	C₂²×C₁₃	semidirect
522. #547	C₂²×C₁₃	semidirect
529. #544	C₂²×C₁₃	semidirect
530. #544	C₂²×C₁₃	semidirect
531. #544	C₂²×C₁₃	semidirect
532. #544	C₂²×C₁₃	semidirect
533. #544	C₂²×C₁₃	semidirect
535. #542	C₂²×C₁₃	semidirect
536. #542	C₂²×C₁₃	semidirect
537. #541	C₂²×C₁₃	semidirect
538. #541	C₂²×C₁₃	semidirect
539. #541	C₂²×C₁₃	semidirect
540. #541	C₂²×C₁₃	semidirect
541. #541	C₂²×C₁₃	semidirect
545. #539	C₂²×C₁₃	semidirect
548. #536	C₂²×C₁₃	semidirect
551. #533	C₂²×C₁₃	semidirect
552. #533	C₂²×C₁₃	semidirect
553. #533	C₂²×C₁₃	semidirect
555. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
556. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
560. #529	C₂²×C₁₃	semidirect
561. #529	C₂²×C₁₃	semidirect
563. C₂×#125	C₂²×C₁₃	semidirect
903. C₁₃	#62945	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×#3563	2
C₁₃×#3555	2
C₁₃×#3552	2
C₁₃×#3544	2
C₁₃×#3538	2
C₁₃×#3520	2
C₁₃×#3515	2
C₁₃×#3503	2
C₁₃×#3502	2
C₁₃×#3495	2
C₁₃×#3492	2
C₁₃×#3475	2
C₂×C₁₃×#554	2
C₁₃×#3461	2
C₂×C₁₃×#544	2
#62945	13

Subgroups — C13×#62945 #15749284

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62945 #15749284