Subgroups — C₁₃×#62915 #15749254

Order 3328.

6986 conjugacy classes of subgroups.

The subgroup lattice has 1042 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3559	C₂	1	8	yes	maximal, complemented
2	C₁₃×#3552	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3547	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3544	C₂	1	8	yes	maximal, complemented
5	C₁₃×#3538	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3535	C₂	1	8	yes	maximal, complemented
7	C₁₃×#3515	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3503	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3501	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3499	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3494	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3492	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3489	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3475	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₃×#547	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₁₃×#544	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	4	yes	complemented
19	C₂²×C₁₃×#41	C₂²	1	2	yes	—
20	C₁₃×#563	C₂²	1	16	yes	complemented
21	C₁₃×#563	C₂²	1	16	yes	complemented
22	C₁₃×#562	C₂²	1	16	yes	complemented
23	Q₈²×C₁₃	C₂²	1	4	yes	complemented
24	C₁₃×#557	C₂²	1	4	yes	complemented
25	C₁₃×#556	C₂²	1	2	yes	complemented
26	C₁₃×#555	C₂²	1	8	yes	complemented
27	C₁₃×#555	C₂²	1	2	yes	complemented
28	C₁₃×#554	C₂²	1	8	yes	—
29	C₁₃×#554	C₂²	1	8	yes	complemented
30	C₁₃×#554	C₂²	1	8	yes	complemented
31	C₁₃×#554	C₂²	1	4	yes	complemented
32	C₁₃×#554	C₂²	1	4	yes	complemented
33	C₁₃×#554	C₂²	1	2	yes	complemented
34	C₁₃×#553	C₂²	1	8	yes	complemented
35	C₁₃×#553	C₂²	1	8	yes	complemented
36	C₁₃×#553	C₂²	1	4	yes	complemented
37	C₁₃×#553	C₂²	1	8	yes	complemented
38	C₁₃×#552	C₂²	1	4	yes	—
39	C₁₃×#552	C₂²	1	16	yes	complemented
40	C₁₃×#552	C₂²	1	8	yes	complemented
41	C₁₃×#552	C₂²	1	4	yes	complemented
42	C₁₃×#552	C₂²	1	8	yes	complemented
43	C₁₃×#551	C₂²	1	8	yes	—
44	C₁₃×#551	C₂²	1	16	yes	—
45	D₄×Q₈×C₁₃	C₂²	1	8	yes	—
46	D₄×Q₈×C₁₃	C₂²	1	8	yes	complemented
47	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
48	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
49	C₁₃×#548	C₂²	1	8	yes	complemented
50	C₁₃×#547	C₂²	1	8	yes	—
51	C₁₃×#547	C₂²	1	4	yes	—
52	C₁₃×#547	C₂²	1	4	yes	—
53	C₁₃×#547	C₂²	1	16	yes	complemented
54	C₁₃×#547	C₂²	1	16	yes	complemented
55	C₁₃×#547	C₂²	1	8	yes	complemented
56	C₁₃×#547	C₂²	1	8	yes	complemented
57	C₁₃×#547	C₂²	1	2	yes	complemented
58	C₁₃×#547	C₂²	1	8	yes	complemented
59	C₁₃×#546	C₂²	1	16	yes	—
60	C₁₃×#546	C₂²	1	4	yes	—
61	C₁₃×#544	C₂²	1	8	yes	—
62	C₁₃×#544	C₂²	1	1	yes	characteristic
63	C₁₃×#544	C₂²	1	2	yes	—
64	C₁₃×#544	C₂²	1	4	yes	—
65	C₁₃×#544	C₂²	1	8	yes	complemented
66	C₁₃×#544	C₂²	1	8	yes	complemented
67	C₁₃×#544	C₂²	1	8	yes	complemented
68	C₁₃×#544	C₂²	1	8	yes	complemented
69	C₁₃×#543	C₂²	1	4	yes	—
70	C₁₃×#542	C₂²	1	16	yes	complemented
71	C₁₃×#542	C₂²	1	4	yes	complemented
72	C₁₃×#542	C₂²	1	8	yes	complemented
73	C₁₃×#541	C₂²	1	8	yes	complemented
74	C₁₃×#540	C₂²	1	8	yes	complemented
75	C₁₃×#540	C₂²	1	4	yes	complemented
76	C₁₃×#539	C₂²	1	8	yes	—
77	C₁₃×#539	C₂²	1	16	yes	complemented
78	C₁₃×#539	C₂²	1	16	yes	complemented
79	C₁₃×#539	C₂²	1	8	yes	complemented
80	C₁₃×#538	C₂²	1	4	yes	—
81	C₁₃×#537	C₂²	1	1	yes	characteristic
82	C₁₃×#537	C₂²	1	4	yes	complemented
83	C₁₃×#537	C₂²	1	8	yes	complemented
84	C₁₃×#536	C₂²	1	16	yes	complemented
85	C₁₃×#536	C₂²	1	8	yes	complemented
86	C₁₃×#536	C₂²	1	8	yes	complemented
87	C₁₃×#536	C₂²	1	4	yes	complemented
88	C₁₃×#535	C₂²	1	2	yes	—
89	C₁₃×#533	C₂²	1	2	yes	—
90	C₁₃×#533	C₂²	1	4	yes	complemented
91	C₁₃×#532	C₂²	1	4	yes	complemented
92	C₁₃×#532	C₂²	1	8	yes	complemented
93	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
94	C₂×C₁₃×C₄⋊Q₈	C₂²	1	8	yes	complemented
95	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
96	C₁₃×#529	C₂²	1	8	yes	complemented
97	C₁₃×#529	C₂²	1	8	yes	complemented
98	C₁₃×#529	C₂²	1	4	yes	complemented
99	C₁₃×#529	C₂²	1	4	yes	complemented
100	C₂×C₁₃×#125	C₂²	1	8	yes	complemented
101	C₁₃×#525	C₂²	1	8	yes	—
102	C₁₃×#525	C₂²	1	4	yes	—
103	C₁₃×#525	C₂²	1	4	yes	—
104	C₂×C₁₃×#123	C₂²	1	4	yes	—
105	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	8	yes	—
106	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
107	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
108	C₂×C₁₃×#121	C₂²	1	2	yes	—
109	C₁₃×#520	C₂²	1	4	yes	—
110	C₁₃×#520	C₂²	1	4	yes	complemented
111	C₁₃×#518	C₂²	1	2	yes	—
112	C₄×C₁₃×#41	C₂²	1	2	yes	—
113	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
114	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
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	C₁₃×2₋¹⁺⁴	—	4	16	no	—
119	C₂×C₁₃×#41	—	4	8	no	—
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	4	yes	—
124	C₂×C₁₃×#41	C₂³	1	8	yes	—
125	C₂×C₁₃×#41	C₂³	1	16	yes	—
126	C₂×C₁₃×#41	C₂³	1	8	yes	—
127	C₂×C₁₃×#41	C₂³	1	4	yes	—
128	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
129	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
130	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
131	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
132	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
134	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
135	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
137	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
138	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
139	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
140	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
141	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
142	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
143	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
144	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
145	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
146	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
147	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
148	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
149	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
150	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
151	C₁₃×#127	C₂³	1	4	yes	—
152	C₁₃×#126	C₂³	1	8	yes	—
153	C₁₃×#126	C₂³	1	8	yes	—
154	C₁₃×#126	C₂³	1	8	yes	—
155	C₁₃×#126	C₂³	1	16	yes	—
156	C₁₃×#126	C₂³	1	8	yes	—
157	C₁₃×#126	C₂³	1	16	yes	—
158	C₁₃×#126	C₂³	1	16	yes	—
159	C₁₃×#125	C₂³	1	4	yes	—
160	C₁₃×#125	C₂³	1	8	yes	—
161	C₁₃×#125	C₂³	1	16	yes	—
162	C₁₃×#125	C₂³	1	16	yes	—
163	C₁₃×#125	C₂³	1	8	yes	—
164	C₁₃×#125	C₂³	1	8	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	16	yes	—
169	C₁₃×#125	C₂³	1	16	yes	—
170	C₁₃×#124	C₂³	1	4	yes	—
171	C₁₃×#124	C₂³	1	4	yes	—
172	C₁₃×#124	C₂³	1	8	yes	—
173	C₁₃×#124	C₂³	1	8	yes	—
174	C₁₃×#124	C₂³	1	16	yes	—
175	C₁₃×#124	C₂³	1	16	yes	—
176	C₁₃×#123	C₂³	1	16	yes	—
177	C₁₃×#123	C₂³	1	16	yes	—
178	C₁₃×#123	C₂³	1	16	yes	—
179	C₁₃×#123	C₂³	1	8	yes	—
180	C₁₃×#123	C₂³	1	8	yes	—
181	C₁₃×#123	C₂³	1	8	yes	—
182	C₁₃×#123	C₂³	1	16	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	16	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	4	yes	—
193	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
194	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
195	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
203	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
204	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
205	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
206	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
207	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
213	C₁₃×C₂²⋊Q₈	C₂³	1	16	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×#121	C₂³	1	8	yes	—
218	C₁₃×#121	C₂³	1	8	yes	—
219	C₁₃×#121	C₂³	1	4	yes	—
220	C₁₃×#121	C₂³	1	4	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×#121	C₂³	1	8	yes	—
226	C₁₃×#121	C₂³	1	4	yes	—
227	C₁₃×#121	C₂³	1	4	yes	—
228	C₁₃×#121	C₂³	1	4	yes	—
229	C₁₃×#121	C₂³	1	16	yes	—
230	C₁₃×#121	C₂³	1	8	yes	—
231	C₁₃×#121	C₂³	1	16	yes	—
232	C₁₃×#121	C₂³	1	16	yes	—
233	C₁₃×#120	C₂³	1	8	yes	—
234	C₁₃×#120	C₂³	1	8	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	2	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	4	yes	—
242	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
243	C₄×D₄×C₁₃	C₂³	1	2	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	4	yes	—
248	C₄×D₄×C₁₃	C₂³	1	4	yes	—
249	C₄×D₄×C₁₃	C₂³	1	2	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	8	yes	—
255	C₄×D₄×C₁₃	C₂³	1	8	yes	—
256	C₄×D₄×C₁₃	C₂³	1	8	yes	—
257	C₄×D₄×C₁₃	C₂³	1	16	yes	—
258	C₄×D₄×C₁₃	C₂³	1	8	yes	—
259	C₄×D₄×C₁₃	C₂³	1	16	yes	—
260	C₄×D₄×C₁₃	C₂³	1	8	yes	—
261	C₄×D₄×C₁₃	C₂³	1	8	yes	—
262	C₄×D₄×C₁₃	C₂³	1	16	yes	—
263	C₄×D₄×C₁₃	C₂³	1	16	yes	—
264	C₁₃×#117	C₂³	1	2	yes	—
265	C₁₃×#117	C₂³	1	4	yes	—
266	C₁₃×#117	C₂³	1	8	yes	—
267	C₁₃×#117	C₂³	1	8	yes	—
268	C₁₃×#117	C₂³	1	4	yes	—
269	C₁₃×#117	C₂³	1	4	yes	—
270	C₁₃×#117	C₂³	1	4	yes	—
271	C₁₃×#117	C₂³	1	8	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	8	yes	—
276	C₁₃×#117	C₂³	1	16	yes	—
277	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
279	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
281	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	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	1	yes	characteristic
285	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
286	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
287	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
288	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	—
289	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
291	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
292	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
293	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
294	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
295	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
296	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
297	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
298	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
300	#62915	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
301	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
302	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
303	C₁₃×#41	—	2	16	no	—
304	C₁₃×#41	—	2	16	no	—
305	C₁₃×#41	—	2	8	no	—
306	C₁₃×#41	—	4	8	no	—
307	C₁₃×#41	—	4	16	no	—
308	C₁₃×#41	—	4	16	no	—
309	C₁₃×#41	—	4	32	no	—
310	C₁₃×#41	—	4	8	no	—
311	C₂×Q₈×C₁₃	—	4	16	no	—
312	C₂×Q₈×C₁₃	—	4	4	no	—
313	C₂×Q₈×C₁₃	—	4	8	no	—
314	C₂×Q₈×C₁₃	—	4	16	no	—
315	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
316	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
317	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
318	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
319	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
320	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
321	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
322	C₂×Q₈×C₁₃	C₂⁴	1	16	yes	—
323	C₂×D₄×C₁₃	—	2	4	no	—
324	C₂×D₄×C₁₃	—	2	4	no	—
325	C₂×D₄×C₁₃	—	4	8	no	—
326	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
327	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
328	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
329	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
330	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
331	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
332	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
334	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
335	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
336	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
337	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
338	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
339	C₂²×C₄×C₁₃	—	2	8	no	—
340	C₂²×C₄×C₁₃	—	4	4	no	—
341	C₂²×C₄×C₁₃	—	4	8	no	—
342	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
343	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
344	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
345	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
347	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
348	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
349	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
350	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
351	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
353	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
354	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
355	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
357	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
358	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
359	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
360	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
361	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
363	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
364	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
365	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
366	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
367	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
368	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
369	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
370	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
371	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
372	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
373	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
374	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
375	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
376	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
377	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
378	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
379	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
380	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
381	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
382	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
383	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
384	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
385	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
386	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
387	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
388	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
389	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
390	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
391	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
392	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
393	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
394	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
395	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
396	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
397	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
398	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
399	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
400	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
401	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
402	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
403	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
404	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
405	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
406	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
407	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
408	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
409	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
410	C₄²×C₁₃	C₂⁴	1	4	yes	—
411	C₄²×C₁₃	C₂⁴	1	2	yes	—
412	C₄²×C₁₃	C₂⁴	1	8	yes	—
413	C₄²×C₁₃	C₂⁴	1	2	yes	—
414	C₄²×C₁₃	C₂⁴	1	8	yes	—
415	C₄²×C₁₃	C₂⁴	1	4	yes	—
416	C₄²×C₁₃	C₂⁴	1	8	yes	—
417	C₄²×C₁₃	C₂⁴	1	4	yes	—
418	C₄²×C₁₃	C₂⁴	1	16	yes	—
419	#3559	C₂×C₁₃	1	8	yes	complemented
420	#3552	C₂×C₁₃	1	4	yes	complemented
421	#3547	C₂×C₁₃	1	4	yes	complemented
422	#3544	C₂×C₁₃	1	8	yes	complemented
423	#3538	C₂×C₁₃	1	4	yes	complemented
424	#3535	C₂×C₁₃	1	8	yes	complemented
425	#3515	C₂×C₁₃	1	4	yes	complemented
426	#3503	C₂×C₁₃	1	2	yes	complemented
427	#3501	C₂×C₁₃	1	1	yes	characteristic, complemented
428	#3499	C₂×C₁₃	1	4	yes	complemented
429	#3494	C₂×C₁₃	1	4	yes	complemented
430	#3492	C₂×C₁₃	1	2	yes	complemented
431	#3489	C₂×C₁₃	1	4	yes	complemented
432	#3475	C₂×C₁₃	1	2	yes	complemented
433	C₂×#547	C₂×C₁₃	1	1	yes	characteristic, complemented
434	#3460	C₂×C₁₃	1	1	yes	characteristic, complemented
435	C₂×#544	C₂×C₁₃	1	2	yes	complemented
436	C₂³×C₁₃	—	2	4	no	—
437	C₂³×C₁₃	—	2	4	no	—
438	C₂³×C₁₃	—	2	4	no	—
439	C₂³×C₁₃	—	4	2	no	—
440	C₂³×C₁₃	—	4	2	no	—
441	C₂³×C₁₃	—	4	2	no	—
442	C₂³×C₁₃	C₂⁵	1	4	yes	—
443	C₂³×C₁₃	C₂⁵	1	2	yes	—
444	C₂³×C₁₃	C₂⁵	1	4	yes	—
445	C₂³×C₁₃	C₂⁵	1	2	yes	—
446	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
447	Q₈×C₁₃	—	2	8	no	—
448	Q₈×C₁₃	—	2	8	no	—
449	Q₈×C₁₃	—	2	4	no	—
450	Q₈×C₁₃	—	4	4	no	—
451	Q₈×C₁₃	—	4	8	no	—
452	Q₈×C₁₃	—	4	16	no	—
453	Q₈×C₁₃	—	4	4	no	—
454	Q₈×C₁₃	—	4	4	no	—
455	D₄×C₁₃	—	2	4	no	—
456	D₄×C₁₃	—	2	16	no	—
457	D₄×C₁₃	—	2	16	no	—
458	D₄×C₁₃	—	2	8	no	—
459	D₄×C₁₃	—	2	2	no	—
460	D₄×C₁₃	—	2	8	no	—
461	D₄×C₁₃	—	2	4	no	—
462	D₄×C₁₃	—	4	8	no	—
463	D₄×C₁₃	—	4	8	no	—
464	D₄×C₁₃	—	4	8	no	—
465	D₄×C₁₃	—	4	4	no	—
466	D₄×C₁₃	—	4	8	no	—
467	D₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
468	C₂×C₄×C₁₃	—	2	16	no	—
469	C₂×C₄×C₁₃	—	2	16	no	—
470	C₂×C₄×C₁₃	—	2	4	no	—
471	C₂×C₄×C₁₃	—	2	2	no	—
472	C₂×C₄×C₁₃	—	2	8	no	—
473	C₂×C₄×C₁₃	—	2	8	no	—
474	C₂×C₄×C₁₃	—	2	8	no	—
475	C₂×C₄×C₁₃	—	2	8	no	—
476	C₂×C₄×C₁₃	—	2	8	no	—
477	C₂×C₄×C₁₃	—	4	2	no	—
478	C₂×C₄×C₁₃	—	4	4	no	—
479	C₂×C₄×C₁₃	—	4	4	no	—
480	C₂×C₄×C₁₃	—	4	8	no	—
481	C₂×C₄×C₁₃	—	4	8	no	—
482	C₂×C₄×C₁₃	—	4	4	no	—
483	C₂×C₄×C₁₃	—	4	8	no	—
484	C₂×C₄×C₁₃	—	4	1	no	—
485	C₂×C₄×C₁₃	—	4	16	no	—
486	C₂×C₄×C₁₃	—	4	8	no	—
487	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	complemented
488	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
489	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
490	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
491	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
492	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
493	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
494	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
495	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
496	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
497	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
498	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
499	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
500	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	4	yes	complemented
501	C₂²×#41	C₂²×C₁₃	1	2	yes	—
502	#563	C₂²×C₁₃	1	16	yes	complemented
503	#563	C₂²×C₁₃	1	16	yes	complemented
504	#562	C₂²×C₁₃	1	16	yes	complemented
505	Q₈²	C₂²×C₁₃	1	4	yes	complemented
506	#557	C₂²×C₁₃	1	4	yes	complemented
507	#556	C₂²×C₁₃	1	2	yes	complemented
508	#555	C₂²×C₁₃	1	2	yes	complemented
509	#555	C₂²×C₁₃	1	8	yes	complemented
510	#554	C₂²×C₁₃	1	8	yes	—
511	#554	C₂²×C₁₃	1	2	yes	complemented
512	#554	C₂²×C₁₃	1	8	yes	complemented
513	#554	C₂²×C₁₃	1	4	yes	complemented
514	#554	C₂²×C₁₃	1	8	yes	complemented
515	#554	C₂²×C₁₃	1	4	yes	complemented
516	#553	C₂²×C₁₃	1	4	yes	complemented
517	#553	C₂²×C₁₃	1	8	yes	complemented
518	#553	C₂²×C₁₃	1	8	yes	complemented
519	#553	C₂²×C₁₃	1	8	yes	complemented
520	#552	C₂²×C₁₃	1	4	yes	—
521	#552	C₂²×C₁₃	1	4	yes	complemented
522	#552	C₂²×C₁₃	1	8	yes	complemented
523	#552	C₂²×C₁₃	1	16	yes	complemented
524	#552	C₂²×C₁₃	1	8	yes	complemented
525	#551	C₂²×C₁₃	1	8	yes	—
526	#551	C₂²×C₁₃	1	16	yes	—
527	D₄×Q₈	C₂²×C₁₃	1	8	yes	—
528	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
529	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
530	D₄×Q₈	C₂²×C₁₃	1	8	yes	complemented
531	#548	C₂²×C₁₃	1	8	yes	complemented
532	#547	C₂²×C₁₃	1	4	yes	—
533	#547	C₂²×C₁₃	1	8	yes	—
534	#547	C₂²×C₁₃	1	4	yes	—
535	#547	C₂²×C₁₃	1	2	yes	complemented
536	#547	C₂²×C₁₃	1	8	yes	complemented
537	#547	C₂²×C₁₃	1	16	yes	complemented
538	#547	C₂²×C₁₃	1	8	yes	complemented
539	#547	C₂²×C₁₃	1	8	yes	complemented
540	#547	C₂²×C₁₃	1	16	yes	complemented
541	#546	C₂²×C₁₃	1	4	yes	—
542	#546	C₂²×C₁₃	1	16	yes	—
543	#544	C₂²×C₁₃	1	1	yes	characteristic
544	#544	C₂²×C₁₃	1	2	yes	—
545	#544	C₂²×C₁₃	1	4	yes	—
546	#544	C₂²×C₁₃	1	8	yes	—
547	#544	C₂²×C₁₃	1	8	yes	complemented
548	#544	C₂²×C₁₃	1	8	yes	complemented
549	#544	C₂²×C₁₃	1	8	yes	complemented
550	#544	C₂²×C₁₃	1	8	yes	complemented
551	#543	C₂²×C₁₃	1	4	yes	—
552	#542	C₂²×C₁₃	1	4	yes	complemented
553	#542	C₂²×C₁₃	1	8	yes	complemented
554	#542	C₂²×C₁₃	1	16	yes	complemented
555	#541	C₂²×C₁₃	1	8	yes	complemented
556	#540	C₂²×C₁₃	1	4	yes	complemented
557	#540	C₂²×C₁₃	1	8	yes	complemented
558	#539	C₂²×C₁₃	1	8	yes	—
559	#539	C₂²×C₁₃	1	16	yes	complemented
560	#539	C₂²×C₁₃	1	16	yes	complemented
561	#539	C₂²×C₁₃	1	8	yes	complemented
562	#538	C₂²×C₁₃	1	4	yes	—
563	#537	C₂²×C₁₃	1	1	yes	characteristic
564	#537	C₂²×C₁₃	1	4	yes	complemented
565	#537	C₂²×C₁₃	1	8	yes	complemented
566	#536	C₂²×C₁₃	1	8	yes	complemented
567	#536	C₂²×C₁₃	1	4	yes	complemented
568	#536	C₂²×C₁₃	1	16	yes	complemented
569	#536	C₂²×C₁₃	1	8	yes	complemented
570	#535	C₂²×C₁₃	1	2	yes	—
571	#533	C₂²×C₁₃	1	2	yes	—
572	#533	C₂²×C₁₃	1	4	yes	complemented
573	#532	C₂²×C₁₃	1	4	yes	complemented
574	#532	C₂²×C₁₃	1	8	yes	complemented
575	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
576	C₂×C₄⋊Q₈	C₂²×C₁₃	1	8	yes	complemented
577	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
578	#529	C₂²×C₁₃	1	4	yes	complemented
579	#529	C₂²×C₁₃	1	8	yes	complemented
580	#529	C₂²×C₁₃	1	4	yes	complemented
581	#529	C₂²×C₁₃	1	8	yes	complemented
582	C₂×#125	C₂²×C₁₃	1	8	yes	complemented
583	#525	C₂²×C₁₃	1	4	yes	—
584	#525	C₂²×C₁₃	1	4	yes	—
585	#525	C₂²×C₁₃	1	8	yes	—
586	C₂×#123	C₂²×C₁₃	1	4	yes	—
587	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	8	yes	—
588	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
589	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
590	C₂×#121	C₂²×C₁₃	1	2	yes	—
591	#520	C₂²×C₁₃	1	4	yes	—
592	#520	C₂²×C₁₃	1	4	yes	complemented
593	#518	C₂²×C₁₃	1	2	yes	—
594	C₄×#41	C₂²×C₁₃	1	2	yes	—
595	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
596	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
597	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
598	C₂×#117	C₂²×C₁₃	1	4	yes	—
599	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
600	C₂²×C₁₃	—	2	1	no	—
601	C₂²×C₁₃	—	2	2	no	—
602	C₂²×C₁₃	—	2	2	no	—
603	C₂²×C₁₃	—	2	1	no	—
604	C₂²×C₁₃	—	2	4	no	—
605	C₂²×C₁₃	—	2	4	no	—
606	C₂²×C₁₃	—	2	2	no	—
607	C₂²×C₁₃	—	2	2	no	—
608	C₂²×C₁₃	—	2	4	no	—
609	C₂²×C₁₃	—	2	4	no	—
610	C₂²×C₁₃	—	2	4	no	—
611	C₂²×C₁₃	—	2	4	no	—
612	C₂²×C₁₃	—	2	2	no	—
613	C₂²×C₁₃	—	4	8	no	—
614	C₂²×C₁₃	—	8	4	no	—
615	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
616	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
617	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
618	C₄×C₁₃	—	2	4	no	—
619	C₄×C₁₃	—	2	4	no	—
620	C₄×C₁₃	—	2	1	no	—
621	C₄×C₁₃	—	2	8	no	—
622	C₄×C₁₃	—	2	8	no	—
623	C₄×C₁₃	—	2	4	no	—
624	C₄×C₁₃	—	2	4	no	—
625	C₄×C₁₃	—	2	4	no	—
626	C₄×C₁₃	—	2	8	no	—
627	C₄×C₁₃	—	2	2	no	—
628	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
629	C₄×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
630	2₋¹⁺⁴	—	4	16	no	—
631	C₂×#41	—	4	8	no	—
632	C₂×#41	C₂³×C₁₃	1	2	yes	—
633	C₂×#41	C₂³×C₁₃	1	4	yes	—
634	C₂×#41	C₂³×C₁₃	1	4	yes	—
635	C₂×#41	C₂³×C₁₃	1	4	yes	—
636	C₂×#41	C₂³×C₁₃	1	8	yes	—
637	C₂×#41	C₂³×C₁₃	1	16	yes	—
638	C₂×#41	C₂³×C₁₃	1	8	yes	—
639	C₂×#41	C₂³×C₁₃	1	4	yes	—
640	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
641	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
642	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
643	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
644	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
645	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
646	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
647	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
648	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
649	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
650	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
651	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
652	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
653	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
654	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
655	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
656	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
657	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
658	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
659	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
660	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
661	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
662	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
663	#127	C₂³×C₁₃	1	4	yes	—
664	#126	C₂³×C₁₃	1	8	yes	—
665	#126	C₂³×C₁₃	1	8	yes	—
666	#126	C₂³×C₁₃	1	8	yes	—
667	#126	C₂³×C₁₃	1	16	yes	—
668	#126	C₂³×C₁₃	1	8	yes	—
669	#126	C₂³×C₁₃	1	16	yes	—
670	#126	C₂³×C₁₃	1	16	yes	—
671	#125	C₂³×C₁₃	1	4	yes	—
672	#125	C₂³×C₁₃	1	8	yes	—
673	#125	C₂³×C₁₃	1	16	yes	—
674	#125	C₂³×C₁₃	1	16	yes	—
675	#125	C₂³×C₁₃	1	8	yes	—
676	#125	C₂³×C₁₃	1	8	yes	—
677	#125	C₂³×C₁₃	1	4	yes	—
678	#125	C₂³×C₁₃	1	8	yes	—
679	#125	C₂³×C₁₃	1	4	yes	—
680	#125	C₂³×C₁₃	1	16	yes	—
681	#125	C₂³×C₁₃	1	16	yes	—
682	#124	C₂³×C₁₃	1	4	yes	—
683	#124	C₂³×C₁₃	1	4	yes	—
684	#124	C₂³×C₁₃	1	8	yes	—
685	#124	C₂³×C₁₃	1	8	yes	—
686	#124	C₂³×C₁₃	1	16	yes	—
687	#124	C₂³×C₁₃	1	16	yes	—
688	#123	C₂³×C₁₃	1	16	yes	—
689	#123	C₂³×C₁₃	1	16	yes	—
690	#123	C₂³×C₁₃	1	16	yes	—
691	#123	C₂³×C₁₃	1	8	yes	—
692	#123	C₂³×C₁₃	1	8	yes	—
693	#123	C₂³×C₁₃	1	8	yes	—
694	#123	C₂³×C₁₃	1	16	yes	—
695	#123	C₂³×C₁₃	1	8	yes	—
696	#123	C₂³×C₁₃	1	8	yes	—
697	#123	C₂³×C₁₃	1	8	yes	—
698	#123	C₂³×C₁₃	1	16	yes	—
699	#123	C₂³×C₁₃	1	16	yes	—
700	#123	C₂³×C₁₃	1	16	yes	—
701	#123	C₂³×C₁₃	1	16	yes	—
702	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
703	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
704	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
705	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
706	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
707	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
708	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
709	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
710	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
711	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
712	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
713	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
714	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
715	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
716	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
717	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
718	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
719	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
720	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
721	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
722	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
723	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
724	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
725	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
726	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
727	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
728	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
729	#121	C₂³×C₁₃	1	8	yes	—
730	#121	C₂³×C₁₃	1	8	yes	—
731	#121	C₂³×C₁₃	1	4	yes	—
732	#121	C₂³×C₁₃	1	4	yes	—
733	#121	C₂³×C₁₃	1	4	yes	—
734	#121	C₂³×C₁₃	1	8	yes	—
735	#121	C₂³×C₁₃	1	4	yes	—
736	#121	C₂³×C₁₃	1	4	yes	—
737	#121	C₂³×C₁₃	1	8	yes	—
738	#121	C₂³×C₁₃	1	4	yes	—
739	#121	C₂³×C₁₃	1	4	yes	—
740	#121	C₂³×C₁₃	1	4	yes	—
741	#121	C₂³×C₁₃	1	16	yes	—
742	#121	C₂³×C₁₃	1	8	yes	—
743	#121	C₂³×C₁₃	1	16	yes	—
744	#121	C₂³×C₁₃	1	16	yes	—
745	#120	C₂³×C₁₃	1	8	yes	—
746	#120	C₂³×C₁₃	1	8	yes	—
747	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
748	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
749	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
750	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
751	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
752	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
753	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
754	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
755	C₄×D₄	C₂³×C₁₃	1	2	yes	—
756	C₄×D₄	C₂³×C₁₃	1	4	yes	—
757	C₄×D₄	C₂³×C₁₃	1	2	yes	—
758	C₄×D₄	C₂³×C₁₃	1	4	yes	—
759	C₄×D₄	C₂³×C₁₃	1	4	yes	—
760	C₄×D₄	C₂³×C₁₃	1	4	yes	—
761	C₄×D₄	C₂³×C₁₃	1	2	yes	—
762	C₄×D₄	C₂³×C₁₃	1	4	yes	—
763	C₄×D₄	C₂³×C₁₃	1	2	yes	—
764	C₄×D₄	C₂³×C₁₃	1	4	yes	—
765	C₄×D₄	C₂³×C₁₃	1	8	yes	—
766	C₄×D₄	C₂³×C₁₃	1	8	yes	—
767	C₄×D₄	C₂³×C₁₃	1	8	yes	—
768	C₄×D₄	C₂³×C₁₃	1	8	yes	—
769	C₄×D₄	C₂³×C₁₃	1	16	yes	—
770	C₄×D₄	C₂³×C₁₃	1	8	yes	—
771	C₄×D₄	C₂³×C₁₃	1	16	yes	—
772	C₄×D₄	C₂³×C₁₃	1	8	yes	—
773	C₄×D₄	C₂³×C₁₃	1	8	yes	—
774	C₄×D₄	C₂³×C₁₃	1	16	yes	—
775	C₄×D₄	C₂³×C₁₃	1	16	yes	—
776	#117	C₂³×C₁₃	1	2	yes	—
777	#117	C₂³×C₁₃	1	4	yes	—
778	#117	C₂³×C₁₃	1	8	yes	—
779	#117	C₂³×C₁₃	1	8	yes	—
780	#117	C₂³×C₁₃	1	4	yes	—
781	#117	C₂³×C₁₃	1	4	yes	—
782	#117	C₂³×C₁₃	1	4	yes	—
783	#117	C₂³×C₁₃	1	8	yes	—
784	#117	C₂³×C₁₃	1	4	yes	—
785	#117	C₂³×C₁₃	1	8	yes	—
786	#117	C₂³×C₁₃	1	4	yes	—
787	#117	C₂³×C₁₃	1	8	yes	—
788	#117	C₂³×C₁₃	1	16	yes	—
789	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
790	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
791	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
792	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
793	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
794	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
795	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
796	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
798	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
799	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
800	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	—
801	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
802	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
803	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
804	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
805	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
806	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
808	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
809	C₂×C₄²	C₂³×C₁₃	1	8	yes	—
810	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
811	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
812	C₂×C₁₃	—	2	2	no	—
813	C₂×C₁₃	—	2	4	no	—
814	C₂×C₁₃	—	4	4	no	—
815	C₂×C₁₃	—	4	2	no	—
816	C₂×C₁₃	—	4	4	no	—
817	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
818	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
819	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
820	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
821	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
822	#41	—	2	16	no	—
823	#41	—	2	16	no	—
824	#41	—	2	8	no	—
825	#41	—	4	8	no	—
826	#41	—	4	16	no	—
827	#41	—	4	16	no	—
828	#41	—	4	32	no	—
829	#41	—	4	8	no	—
830	C₂×Q₈	—	4	16	no	—
831	C₂×Q₈	—	4	4	no	—
832	C₂×Q₈	—	4	8	no	—
833	C₂×Q₈	—	4	16	no	—
834	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
835	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
836	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
837	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
838	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
839	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
840	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
841	C₂×Q₈	C₂⁴×C₁₃	1	16	yes	—
842	C₂×D₄	—	2	4	no	—
843	C₂×D₄	—	2	4	no	—
844	C₂×D₄	—	4	8	no	—
845	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
846	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
847	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
848	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
849	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
850	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
851	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
852	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
853	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
854	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
855	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
856	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
857	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
858	C₂²×C₄	—	2	8	no	—
859	C₂²×C₄	—	4	4	no	—
860	C₂²×C₄	—	4	8	no	—
861	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
862	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
863	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
864	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
865	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
866	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
867	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
868	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
869	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
870	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
871	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
872	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
873	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
874	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
875	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
876	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
877	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
878	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
879	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
880	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
881	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
882	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
883	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
884	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
885	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
886	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
887	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
888	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
889	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
890	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
891	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
892	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
893	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
894	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
895	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
896	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
897	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
898	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
899	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
900	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
901	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
902	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
903	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
904	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
905	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
906	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
907	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
908	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
909	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
910	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
911	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
912	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
913	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
914	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
915	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
916	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
917	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
918	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
919	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
920	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
921	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
922	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
923	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
924	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
925	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
926	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
927	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
928	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
929	C₄²	C₂⁴×C₁₃	1	4	yes	—
930	C₄²	C₂⁴×C₁₃	1	2	yes	—
931	C₄²	C₂⁴×C₁₃	1	8	yes	—
932	C₄²	C₂⁴×C₁₃	1	2	yes	—
933	C₄²	C₂⁴×C₁₃	1	8	yes	—
934	C₄²	C₂⁴×C₁₃	1	4	yes	—
935	C₄²	C₂⁴×C₁₃	1	8	yes	—
936	C₄²	C₂⁴×C₁₃	1	4	yes	—
937	C₄²	C₂⁴×C₁₃	1	16	yes	—
938	C₁₃	#62915	1	1	yes	characteristic, direct product factor, Sylow
939	C₂³	—	2	4	no	—
940	C₂³	—	2	4	no	—
941	C₂³	—	2	4	no	—
942	C₂³	—	4	2	no	—
943	C₂³	—	4	2	no	—
944	C₂³	—	4	2	no	—
945	C₂³	C₂⁵×C₁₃	1	4	yes	—
946	C₂³	C₂⁵×C₁₃	1	2	yes	—
947	C₂³	C₂⁵×C₁₃	1	4	yes	—
948	C₂³	C₂⁵×C₁₃	1	2	yes	—
949	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
950	Q₈	—	2	8	no	—
951	Q₈	—	2	8	no	—
952	Q₈	—	2	4	no	—
953	Q₈	—	4	4	no	—
954	Q₈	—	4	8	no	—
955	Q₈	—	4	16	no	—
956	Q₈	—	4	4	no	—
957	Q₈	—	4	4	no	—
958	D₄	—	2	4	no	—
959	D₄	—	2	16	no	—
960	D₄	—	2	16	no	—
961	D₄	—	2	8	no	—
962	D₄	—	2	2	no	—
963	D₄	—	2	8	no	—
964	D₄	—	2	4	no	—
965	D₄	—	4	8	no	—
966	D₄	—	4	8	no	—
967	D₄	—	4	8	no	—
968	D₄	—	4	4	no	—
969	D₄	—	4	8	no	—
970	D₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
971	C₂×C₄	—	2	16	no	—
972	C₂×C₄	—	2	16	no	—
973	C₂×C₄	—	2	4	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	8	no	—
976	C₂×C₄	—	2	8	no	—
977	C₂×C₄	—	2	8	no	—
978	C₂×C₄	—	2	8	no	—
979	C₂×C₄	—	2	8	no	—
980	C₂×C₄	—	4	2	no	—
981	C₂×C₄	—	4	4	no	—
982	C₂×C₄	—	4	4	no	—
983	C₂×C₄	—	4	8	no	—
984	C₂×C₄	—	4	8	no	—
985	C₂×C₄	—	4	4	no	—
986	C₂×C₄	—	4	8	no	—
987	C₂×C₄	—	4	1	no	—
988	C₂×C₄	—	4	16	no	—
989	C₂×C₄	—	4	8	no	—
990	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	complemented
991	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
992	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
993	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
994	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
995	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
996	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
997	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
998	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
999	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1000	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1001	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1002	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1003	C₂²	—	2	1	no	—
1004	C₂²	—	2	2	no	—
1005	C₂²	—	2	2	no	—
1006	C₂²	—	2	1	no	—
1007	C₂²	—	2	4	no	—
1008	C₂²	—	2	4	no	—
1009	C₂²	—	2	2	no	—
1010	C₂²	—	2	2	no	—
1011	C₂²	—	2	4	no	—
1012	C₂²	—	2	4	no	—
1013	C₂²	—	2	4	no	—
1014	C₂²	—	2	4	no	—
1015	C₂²	—	2	2	no	—
1016	C₂²	—	4	8	no	—
1017	C₂²	—	8	4	no	—
1018	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
1019	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1020	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1021	C₄	—	2	4	no	—
1022	C₄	—	2	4	no	—
1023	C₄	—	2	1	no	—
1024	C₄	—	2	8	no	—
1025	C₄	—	2	8	no	—
1026	C₄	—	2	4	no	—
1027	C₄	—	2	4	no	—
1028	C₄	—	2	4	no	—
1029	C₄	—	2	8	no	—
1030	C₄	—	2	2	no	—
1031	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1032	C₄	C₂×C₁₃×2₋¹⁺⁴	1	4	yes	—
1033	C₂	—	2	2	no	—
1034	C₂	—	2	4	no	—
1035	C₂	—	4	2	no	—
1036	C₂	—	4	4	no	—
1037	C₂	—	4	4	no	—
1038	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1039	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1040	C₂	C₁₃×2₋¹⁺⁶	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×#3559	C₂	semidirect
2. C₁₃×#3552	C₂	semidirect
3. C₁₃×#3547	C₂	semidirect
4. C₁₃×#3544	C₂	semidirect
5. C₁₃×#3538	C₂	semidirect
6. C₁₃×#3535	C₂	semidirect
7. C₁₃×#3515	C₂	semidirect
8. C₁₃×#3503	C₂	semidirect
9. C₁₃×#3501	C₂	semidirect
10. C₁₃×#3499	C₂	semidirect
11. C₁₃×#3494	C₂	semidirect
12. C₁₃×#3492	C₂	semidirect
13. C₁₃×#3489	C₂	semidirect
14. C₁₃×#3475	C₂	semidirect
15. C₂×C₁₃×#547	C₂	semidirect
16. C₁₃×#3460	C₂	semidirect
17. C₂×C₁₃×#544	C₂	semidirect
18. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
20. C₁₃×#563	C₂²	semidirect
21. C₁₃×#563	C₂²	semidirect
22. C₁₃×#562	C₂²	semidirect
23. Q₈²×C₁₃	C₂²	semidirect
24. C₁₃×#557	C₂²	semidirect
25. C₁₃×#556	C₂²	semidirect
26. C₁₃×#555	C₂²	semidirect
27. C₁₃×#555	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
30. C₁₃×#554	C₂²	semidirect
31. C₁₃×#554	C₂²	semidirect
32. C₁₃×#554	C₂²	semidirect
33. C₁₃×#554	C₂²	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#553	C₂²	semidirect
36. C₁₃×#553	C₂²	semidirect
37. C₁₃×#553	C₂²	semidirect
39. C₁₃×#552	C₂²	semidirect
40. C₁₃×#552	C₂²	semidirect
41. C₁₃×#552	C₂²	semidirect
42. C₁₃×#552	C₂²	semidirect
46. D₄×Q₈×C₁₃	C₂²	semidirect
47. D₄×Q₈×C₁₃	C₂²	semidirect
48. D₄×Q₈×C₁₃	C₂²	semidirect
49. C₁₃×#548	C₂²	semidirect
53. C₁₃×#547	C₂²	semidirect
54. C₁₃×#547	C₂²	semidirect
55. C₁₃×#547	C₂²	semidirect
56. C₁₃×#547	C₂²	semidirect
57. C₁₃×#547	C₂²	semidirect
58. C₁₃×#547	C₂²	semidirect
65. C₁₃×#544	C₂²	semidirect
66. C₁₃×#544	C₂²	semidirect
67. C₁₃×#544	C₂²	semidirect
68. C₁₃×#544	C₂²	semidirect
70. C₁₃×#542	C₂²	semidirect
71. C₁₃×#542	C₂²	semidirect
72. C₁₃×#542	C₂²	semidirect
73. C₁₃×#541	C₂²	semidirect
74. C₁₃×#540	C₂²	semidirect
75. C₁₃×#540	C₂²	semidirect
77. C₁₃×#539	C₂²	semidirect
78. C₁₃×#539	C₂²	semidirect
79. C₁₃×#539	C₂²	semidirect
82. C₁₃×#537	C₂²	semidirect
83. C₁₃×#537	C₂²	semidirect
84. C₁₃×#536	C₂²	semidirect
85. C₁₃×#536	C₂²	semidirect
86. C₁₃×#536	C₂²	semidirect
87. C₁₃×#536	C₂²	semidirect
90. C₁₃×#533	C₂²	semidirect
91. C₁₃×#532	C₂²	semidirect
92. C₁₃×#532	C₂²	semidirect
94. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
95. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
96. C₁₃×#529	C₂²	semidirect
97. C₁₃×#529	C₂²	semidirect
98. C₁₃×#529	C₂²	semidirect
99. C₁₃×#529	C₂²	semidirect
100. C₂×C₁₃×#125	C₂²	semidirect
110. C₁₃×#520	C₂²	semidirect
113. C₄×C₁₃×#41	C₂²	semidirect
300. #62915	C₁₃	direct (N × H)
419. #3559	C₂×C₁₃	semidirect
420. #3552	C₂×C₁₃	semidirect
421. #3547	C₂×C₁₃	semidirect
422. #3544	C₂×C₁₃	semidirect
423. #3538	C₂×C₁₃	semidirect
424. #3535	C₂×C₁₃	semidirect
425. #3515	C₂×C₁₃	semidirect
426. #3503	C₂×C₁₃	semidirect
427. #3501	C₂×C₁₃	semidirect
428. #3499	C₂×C₁₃	semidirect
429. #3494	C₂×C₁₃	semidirect
430. #3492	C₂×C₁₃	semidirect
431. #3489	C₂×C₁₃	semidirect
432. #3475	C₂×C₁₃	semidirect
433. C₂×#547	C₂×C₁₃	semidirect
434. #3460	C₂×C₁₃	semidirect
435. C₂×#544	C₂×C₁₃	semidirect
487. C₂×C₄×C₁₃	2₋¹⁺⁴	semidirect
500. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
502. #563	C₂²×C₁₃	semidirect
503. #563	C₂²×C₁₃	semidirect
504. #562	C₂²×C₁₃	semidirect
505. Q₈²	C₂²×C₁₃	semidirect
506. #557	C₂²×C₁₃	semidirect
507. #556	C₂²×C₁₃	semidirect
508. #555	C₂²×C₁₃	semidirect
509. #555	C₂²×C₁₃	semidirect
511. #554	C₂²×C₁₃	semidirect
512. #554	C₂²×C₁₃	semidirect
513. #554	C₂²×C₁₃	semidirect
514. #554	C₂²×C₁₃	semidirect
515. #554	C₂²×C₁₃	semidirect
516. #553	C₂²×C₁₃	semidirect
517. #553	C₂²×C₁₃	semidirect
518. #553	C₂²×C₁₃	semidirect
519. #553	C₂²×C₁₃	semidirect
521. #552	C₂²×C₁₃	semidirect
522. #552	C₂²×C₁₃	semidirect
523. #552	C₂²×C₁₃	semidirect
524. #552	C₂²×C₁₃	semidirect
528. D₄×Q₈	C₂²×C₁₃	semidirect
529. D₄×Q₈	C₂²×C₁₃	semidirect
530. D₄×Q₈	C₂²×C₁₃	semidirect
531. #548	C₂²×C₁₃	semidirect
535. #547	C₂²×C₁₃	semidirect
536. #547	C₂²×C₁₃	semidirect
537. #547	C₂²×C₁₃	semidirect
538. #547	C₂²×C₁₃	semidirect
539. #547	C₂²×C₁₃	semidirect
540. #547	C₂²×C₁₃	semidirect
547. #544	C₂²×C₁₃	semidirect
548. #544	C₂²×C₁₃	semidirect
549. #544	C₂²×C₁₃	semidirect
550. #544	C₂²×C₁₃	semidirect
552. #542	C₂²×C₁₃	semidirect
553. #542	C₂²×C₁₃	semidirect
554. #542	C₂²×C₁₃	semidirect
555. #541	C₂²×C₁₃	semidirect
556. #540	C₂²×C₁₃	semidirect
557. #540	C₂²×C₁₃	semidirect
559. #539	C₂²×C₁₃	semidirect
560. #539	C₂²×C₁₃	semidirect
561. #539	C₂²×C₁₃	semidirect
564. #537	C₂²×C₁₃	semidirect
565. #537	C₂²×C₁₃	semidirect
566. #536	C₂²×C₁₃	semidirect
567. #536	C₂²×C₁₃	semidirect
568. #536	C₂²×C₁₃	semidirect
569. #536	C₂²×C₁₃	semidirect
572. #533	C₂²×C₁₃	semidirect
573. #532	C₂²×C₁₃	semidirect
574. #532	C₂²×C₁₃	semidirect
576. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
577. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
578. #529	C₂²×C₁₃	semidirect
579. #529	C₂²×C₁₃	semidirect
580. #529	C₂²×C₁₃	semidirect
581. #529	C₂²×C₁₃	semidirect
582. C₂×#125	C₂²×C₁₃	semidirect
592. #520	C₂²×C₁₃	semidirect
595. C₄×#41	C₂²×C₁₃	semidirect
938. C₁₃	#62915	direct (N × H)
990. C₂×C₄	C₁₃×2₋¹⁺⁴	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₃×#3559	2
C₁₃×#3552	2
C₁₃×#3547	2
C₁₃×#3544	2
C₁₃×#3538	2
C₁₃×#3535	2
C₁₃×#3515	2
C₁₃×#3503	2
C₁₃×#3501	2
C₁₃×#3499	2
C₁₃×#3494	2
C₁₃×#3492	2
C₁₃×#3489	2
C₁₃×#3475	2
C₂×C₁₃×#547	2
C₁₃×#3460	2
C₂×C₁₃×#544	2
#62915	13

Subgroups — C13×#62915 #15749254

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62915 #15749254