Subgroups — C₁₃×#62887 #15749226

Order 3328.

6910 conjugacy classes of subgroups.

The subgroup lattice has 966 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3562	C₂	1	8	yes	maximal, complemented
2	C₁₃×#3561	C₂	1	8	yes	maximal, complemented
3	C₁₃×#3554	C₂	1	8	yes	maximal, complemented
4	C₁₃×#3552	C₂	1	8	yes	maximal, complemented
5	C₁₃×#3535	C₂	1	8	yes	maximal, complemented
6	C₁₃×#3533	C₂	1	8	yes	maximal, complemented
7	C₁₃×#3510	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3509	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3500	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3499	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3487	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3486	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3485	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3455	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₃×#536	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	—
17	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
18	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
19	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
20	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
21	C₁₃×#563	C₂²	1	8	yes	complemented
22	C₁₃×#563	C₂²	1	16	yes	complemented
23	C₁₃×#562	C₂²	1	16	yes	complemented
24	C₁₃×#562	C₂²	1	16	yes	complemented
25	C₁₃×#560	C₂²	1	8	yes	complemented
26	C₁₃×#559	C₂²	1	8	yes	complemented
27	C₁₃×#559	C₂²	1	8	yes	complemented
28	C₁₃×#557	C₂²	1	8	yes	complemented
29	C₁₃×#556	C₂²	1	8	yes	complemented
30	C₁₃×#556	C₂²	1	8	yes	complemented
31	C₁₃×#554	C₂²	1	16	yes	complemented
32	C₁₃×#553	C₂²	1	16	yes	complemented
33	C₁₃×#552	C₂²	1	16	yes	complemented
34	C₁₃×#551	C₂²	1	16	yes	complemented
35	C₁₃×#551	C₂²	1	8	yes	complemented
36	C₁₃×#551	C₂²	1	16	yes	complemented
37	C₁₃×#550	C₂²	1	8	yes	complemented
38	D₄×Q₈×C₁₃	C₂²	1	8	yes	complemented
39	D₄×Q₈×C₁₃	C₂²	1	8	yes	complemented
40	D₄×Q₈×C₁₃	C₂²	1	8	yes	complemented
41	C₁₃×#548	C₂²	1	8	yes	complemented
42	C₁₃×#548	C₂²	1	8	yes	complemented
43	C₁₃×#548	C₂²	1	8	yes	complemented
44	C₁₃×#548	C₂²	1	8	yes	complemented
45	C₁₃×#547	C₂²	1	8	yes	—
46	C₁₃×#547	C₂²	1	16	yes	complemented
47	C₁₃×#547	C₂²	1	8	yes	complemented
48	C₁₃×#546	C₂²	1	16	yes	—
49	C₁₃×#546	C₂²	1	8	yes	—
50	C₁₃×#546	C₂²	1	8	yes	complemented
51	C₁₃×#544	C₂²	1	8	yes	complemented
52	C₁₃×#543	C₂²	1	8	yes	complemented
53	C₁₃×#542	C₂²	1	16	yes	complemented
54	C₁₃×#542	C₂²	1	16	yes	complemented
55	C₁₃×#542	C₂²	1	4	yes	complemented
56	C₁₃×#542	C₂²	1	8	yes	complemented
57	C₁₃×#542	C₂²	1	4	yes	complemented
58	C₁₃×#541	C₂²	1	4	yes	complemented
59	C₁₃×#541	C₂²	1	8	yes	complemented
60	C₁₃×#540	C₂²	1	16	yes	complemented
61	C₁₃×#540	C₂²	1	4	yes	complemented
62	C₁₃×#539	C₂²	1	16	yes	complemented
63	C₁₃×#539	C₂²	1	8	yes	complemented
64	C₁₃×#539	C₂²	1	16	yes	complemented
65	C₁₃×#539	C₂²	1	8	yes	complemented
66	C₁₃×#538	C₂²	1	8	yes	complemented
67	C₁₃×#538	C₂²	1	16	yes	complemented
68	C₁₃×#538	C₂²	1	8	yes	complemented
69	C₁₃×#536	C₂²	1	2	yes	—
70	C₁₃×#536	C₂²	1	2	yes	—
71	C₁₃×#536	C₂²	1	8	yes	complemented
72	C₁₃×#536	C₂²	1	4	yes	complemented
73	C₁₃×#536	C₂²	1	8	yes	complemented
74	C₁₃×#536	C₂²	1	4	yes	complemented
75	C₁₃×#536	C₂²	1	8	yes	complemented
76	C₁₃×#536	C₂²	1	4	yes	complemented
77	C₁₃×#536	C₂²	1	2	yes	complemented
78	C₁₃×#535	C₂²	1	2	yes	—
79	C₁₃×#535	C₂²	1	4	yes	complemented
80	C₁₃×#535	C₂²	1	4	yes	complemented
81	C₁₃×#534	C₂²	1	4	yes	—
82	C₁₃×#533	C₂²	1	8	yes	complemented
83	C₁₃×#533	C₂²	1	2	yes	complemented
84	C₁₃×#532	C₂²	1	2	yes	—
85	C₁₃×#532	C₂²	1	4	yes	complemented
86	C₁₃×#532	C₂²	1	4	yes	complemented
87	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
88	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
89	C₁₃×#529	C₂²	1	8	yes	complemented
90	C₁₃×#529	C₂²	1	8	yes	complemented
91	C₁₃×#529	C₂²	1	8	yes	complemented
92	C₂×C₁₃×#124	C₂²	1	2	yes	—
93	C₂×C₁₃×#124	C₂²	1	4	yes	complemented
94	C₁₃×#525	C₂²	1	2	yes	—
95	C₁₃×#525	C₂²	1	8	yes	complemented
96	C₁₃×#525	C₂²	1	4	yes	complemented
97	C₁₃×#525	C₂²	1	2	yes	complemented
98	C₂×C₁₃×#123	C₂²	1	4	yes	—
99	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
100	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
101	C₁₃×#519	C₂²	1	2	yes	complemented
102	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#518	C₂²	1	1	yes	characteristic
104	C₄×C₁₃×#41	C₂²	1	2	yes	—
105	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
106	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×2₋¹⁺⁴	—	4	8	no	—
108	C₁₃×2₋¹⁺⁴	—	4	4	no	—
109	C₁₃×H(5,𝔽₂)	—	4	4	no	—
110	C₂×C₁₃×#41	—	4	4	no	—
111	C₂×C₁₃×#41	C₂³	1	2	yes	—
112	C₂×C₁₃×#41	C₂³	1	2	yes	—
113	C₂×C₁₃×#41	C₂³	1	4	yes	—
114	C₂×C₁₃×#41	C₂³	1	8	yes	—
115	C₂×C₁₃×#41	C₂³	1	4	yes	—
116	C₂×C₁₃×#41	C₂³	1	4	yes	—
117	C₂×C₁₃×#41	C₂³	1	4	yes	—
118	C₂×C₁₃×#41	C₂³	1	4	yes	—
119	C₂×C₁₃×#41	C₂³	1	8	yes	—
120	C₂²×Q₈×C₁₃	—	4	4	no	—
121	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
122	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
123	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
124	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
125	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
126	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
127	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
128	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
130	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
131	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
132	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
135	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
136	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
137	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
138	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
139	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
140	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
141	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
142	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
143	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
144	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	—
145	C₁₃×#127	C₂³	1	2	yes	—
146	C₁₃×#127	C₂³	1	4	yes	—
147	C₁₃×#127	C₂³	1	8	yes	—
148	C₁₃×#126	C₂³	1	8	yes	—
149	C₁₃×#126	C₂³	1	16	yes	—
150	C₁₃×#126	C₂³	1	8	yes	—
151	C₁₃×#126	C₂³	1	8	yes	—
152	C₁₃×#126	C₂³	1	8	yes	—
153	C₁₃×#126	C₂³	1	16	yes	—
154	C₁₃×#126	C₂³	1	16	yes	—
155	C₁₃×#126	C₂³	1	16	yes	—
156	C₁₃×#125	C₂³	1	4	yes	—
157	C₁₃×#125	C₂³	1	8	yes	—
158	C₁₃×#125	C₂³	1	8	yes	—
159	C₁₃×#125	C₂³	1	16	yes	—
160	C₁₃×#125	C₂³	1	16	yes	—
161	C₁₃×#125	C₂³	1	16	yes	—
162	C₁₃×#124	C₂³	1	4	yes	—
163	C₁₃×#124	C₂³	1	4	yes	—
164	C₁₃×#124	C₂³	1	8	yes	—
165	C₁₃×#124	C₂³	1	2	yes	—
166	C₁₃×#124	C₂³	1	4	yes	—
167	C₁₃×#124	C₂³	1	4	yes	—
168	C₁₃×#124	C₂³	1	16	yes	—
169	C₁₃×#124	C₂³	1	8	yes	—
170	C₁₃×#124	C₂³	1	8	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	8	yes	—
175	C₁₃×#124	C₂³	1	16	yes	—
176	C₁₃×#124	C₂³	1	16	yes	—
177	C₁₃×#123	C₂³	1	4	yes	—
178	C₁₃×#123	C₂³	1	8	yes	—
179	C₁₃×#123	C₂³	1	16	yes	—
180	C₁₃×#123	C₂³	1	16	yes	—
181	C₁₃×#123	C₂³	1	8	yes	—
182	C₁₃×#123	C₂³	1	8	yes	—
183	C₁₃×#123	C₂³	1	4	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	8	yes	—
188	C₁₃×#123	C₂³	1	8	yes	—
189	C₁₃×#123	C₂³	1	16	yes	—
190	C₁₃×#123	C₂³	1	8	yes	—
191	C₁₃×#123	C₂³	1	8	yes	—
192	C₁₃×#123	C₂³	1	16	yes	—
193	C₁₃×#123	C₂³	1	16	yes	—
194	C₁₃×#123	C₂³	1	16	yes	—
195	C₁₃×#123	C₂³	1	16	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	4	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	8	yes	—
207	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	8	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×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×#121	C₂³	1	4	yes	—
217	C₁₃×#121	C₂³	1	8	yes	—
218	C₁₃×#121	C₂³	1	16	yes	—
219	C₁₃×#121	C₂³	1	4	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	8	yes	—
224	C₁₃×#121	C₂³	1	16	yes	—
225	C₁₃×#121	C₂³	1	16	yes	—
226	C₁₃×#121	C₂³	1	16	yes	—
227	C₁₃×#121	C₂³	1	16	yes	—
228	C₁₃×#121	C₂³	1	16	yes	—
229	C₁₃×#120	C₂³	1	4	yes	—
230	C₁₃×#120	C₂³	1	4	yes	—
231	C₁₃×#120	C₂³	1	8	yes	—
232	C₁₃×#120	C₂³	1	8	yes	—
233	C₁₃×#120	C₂³	1	16	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
237	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
238	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
239	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
240	C₄×Q₈×C₁₃	C₂³	1	16	yes	—
241	C₄×D₄×C₁₃	C₂³	1	8	yes	—
242	C₄×D₄×C₁₃	C₂³	1	4	yes	—
243	C₄×D₄×C₁₃	C₂³	1	8	yes	—
244	C₄×D₄×C₁₃	C₂³	1	4	yes	—
245	C₄×D₄×C₁₃	C₂³	1	8	yes	—
246	C₄×D₄×C₁₃	C₂³	1	8	yes	—
247	C₄×D₄×C₁₃	C₂³	1	8	yes	—
248	C₄×D₄×C₁₃	C₂³	1	16	yes	—
249	C₄×D₄×C₁₃	C₂³	1	16	yes	—
250	C₄×D₄×C₁₃	C₂³	1	16	yes	—
251	C₄×D₄×C₁₃	C₂³	1	8	yes	—
252	C₄×D₄×C₁₃	C₂³	1	16	yes	—
253	C₄×D₄×C₁₃	C₂³	1	16	yes	—
254	C₄×D₄×C₁₃	C₂³	1	16	yes	—
255	C₁₃×#117	C₂³	1	4	yes	—
256	C₁₃×#117	C₂³	1	4	yes	—
257	C₁₃×#117	C₂³	1	2	yes	—
258	C₁₃×#117	C₂³	1	4	yes	—
259	C₁₃×#117	C₂³	1	2	yes	—
260	C₁₃×#117	C₂³	1	4	yes	—
261	C₁₃×#117	C₂³	1	4	yes	—
262	C₁₃×#117	C₂³	1	8	yes	—
263	C₁₃×#117	C₂³	1	16	yes	—
264	C₁₃×#117	C₂³	1	16	yes	—
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
267	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	—
269	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
270	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
271	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
272	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
273	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
274	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
275	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
276	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
277	#62887	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
278	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
279	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
280	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
281	C₁₃×#41	—	2	8	no	—
282	C₁₃×#41	—	2	8	no	—
283	C₁₃×#41	—	4	8	no	—
284	C₁₃×#41	—	4	16	no	—
285	C₁₃×#41	—	4	16	no	—
286	C₁₃×#41	—	4	8	no	—
287	C₁₃×#41	—	4	8	no	—
288	C₁₃×#41	—	4	8	no	—
289	C₁₃×#41	—	4	8	no	—
290	C₂×Q₈×C₁₃	—	2	8	no	—
291	C₂×Q₈×C₁₃	—	2	4	no	—
292	C₂×Q₈×C₁₃	—	4	4	no	—
293	C₂×Q₈×C₁₃	—	4	16	no	—
294	C₂×Q₈×C₁₃	—	4	8	no	—
295	C₂×Q₈×C₁₃	—	4	8	no	—
296	C₂×Q₈×C₁₃	—	4	8	no	—
297	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
298	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
299	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
300	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
301	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
302	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
303	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
304	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
305	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
306	C₂×D₄×C₁₃	—	2	4	no	—
307	C₂×D₄×C₁₃	—	4	8	no	—
308	C₂×D₄×C₁₃	—	4	4	no	—
309	C₂×D₄×C₁₃	—	4	8	no	—
310	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
311	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
312	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
313	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
314	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
315	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
316	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
317	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
318	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
319	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
320	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
321	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
322	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
323	C₂²×C₄×C₁₃	—	2	4	no	—
324	C₂²×C₄×C₁₃	—	4	4	no	—
325	C₂²×C₄×C₁₃	—	4	4	no	—
326	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
327	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
328	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
329	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
330	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
332	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
333	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
334	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
335	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
336	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
337	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
338	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
339	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
340	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
341	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
342	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
343	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
344	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
345	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
346	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
347	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
348	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
349	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
350	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
351	C₁₃×C₄⋊C₄	C₂⁴	1	16	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	4	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	8	yes	—
361	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
362	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
363	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
364	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
365	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
366	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
367	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
368	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
369	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
370	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
371	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
372	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
373	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
374	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
375	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
376	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
377	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
378	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
379	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
380	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
381	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
382	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
383	C₄²×C₁₃	C₂⁴	1	2	yes	—
384	C₄²×C₁₃	C₂⁴	1	2	yes	—
385	C₄²×C₁₃	C₂⁴	1	4	yes	—
386	C₄²×C₁₃	C₂⁴	1	4	yes	—
387	C₄²×C₁₃	C₂⁴	1	8	yes	—
388	C₄²×C₁₃	C₂⁴	1	4	yes	—
389	C₄²×C₁₃	C₂⁴	1	8	yes	—
390	C₄²×C₁₃	C₂⁴	1	16	yes	—
391	C₄²×C₁₃	C₂⁴	1	8	yes	—
392	#3562	C₂×C₁₃	1	8	yes	complemented
393	#3561	C₂×C₁₃	1	8	yes	complemented
394	#3554	C₂×C₁₃	1	8	yes	complemented
395	#3552	C₂×C₁₃	1	8	yes	complemented
396	#3535	C₂×C₁₃	1	8	yes	complemented
397	#3533	C₂×C₁₃	1	8	yes	complemented
398	#3510	C₂×C₁₃	1	2	yes	complemented
399	#3509	C₂×C₁₃	1	2	yes	complemented
400	#3500	C₂×C₁₃	1	2	yes	complemented
401	#3499	C₂×C₁₃	1	2	yes	complemented
402	#3487	C₂×C₁₃	1	1	yes	characteristic, complemented
403	#3486	C₂×C₁₃	1	2	yes	complemented
404	#3485	C₂×C₁₃	1	1	yes	characteristic, complemented
405	#3455	C₂×C₁₃	1	2	yes	complemented
406	C₂×#536	C₂×C₁₃	1	1	yes	characteristic, complemented
407	C₂³×C₁₃	—	2	2	no	—
408	C₂³×C₁₃	—	2	4	no	—
409	C₂³×C₁₃	—	4	2	no	—
410	C₂³×C₁₃	—	4	4	no	—
411	C₂³×C₁₃	—	4	4	no	—
412	C₂³×C₁₃	—	4	8	no	—
413	C₂³×C₁₃	C₂⁵	1	4	yes	—
414	C₂³×C₁₃	C₂⁵	1	4	yes	—
415	C₂³×C₁₃	C₂⁵	1	2	yes	—
416	C₂³×C₁₃	C₂⁵	1	4	yes	—
417	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
418	Q₈×C₁₃	—	2	8	no	—
419	Q₈×C₁₃	—	2	8	no	—
420	Q₈×C₁₃	—	2	8	no	—
421	Q₈×C₁₃	—	2	4	no	—
422	Q₈×C₁₃	—	2	4	no	—
423	Q₈×C₁₃	—	4	8	no	—
424	Q₈×C₁₃	—	4	8	no	—
425	Q₈×C₁₃	—	4	4	no	—
426	Q₈×C₁₃	—	4	8	no	—
427	D₄×C₁₃	—	2	8	no	—
428	D₄×C₁₃	—	2	8	no	—
429	D₄×C₁₃	—	2	8	no	—
430	D₄×C₁₃	—	2	4	no	—
431	D₄×C₁₃	—	2	4	no	—
432	D₄×C₁₃	—	4	8	no	—
433	D₄×C₁₃	—	4	8	no	—
434	D₄×C₁₃	—	4	8	no	—
435	D₄×C₁₃	—	4	8	no	—
436	D₄×C₁₃	—	4	16	no	—
437	D₄×C₁₃	—	4	8	no	—
438	D₄×C₁₃	—	4	4	no	—
439	D₄×C₁₃	—	4	8	no	—
440	C₂×C₄×C₁₃	—	2	2	no	—
441	C₂×C₄×C₁₃	—	2	4	no	—
442	C₂×C₄×C₁₃	—	2	8	no	—
443	C₂×C₄×C₁₃	—	2	8	no	—
444	C₂×C₄×C₁₃	—	2	8	no	—
445	C₂×C₄×C₁₃	—	2	8	no	—
446	C₂×C₄×C₁₃	—	4	8	no	—
447	C₂×C₄×C₁₃	—	4	8	no	—
448	C₂×C₄×C₁₃	—	4	8	no	—
449	C₂×C₄×C₁₃	—	4	4	no	—
450	C₂×C₄×C₁₃	—	4	8	no	—
451	C₂×C₄×C₁₃	—	4	8	no	—
452	C₂×C₄×C₁₃	—	4	4	no	—
453	C₂×C₄×C₁₃	—	4	8	no	—
454	C₂×C₄×C₁₃	—	4	8	no	—
455	C₂×C₄×C₁₃	—	4	8	no	—
456	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
457	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
458	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
459	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
460	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
461	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
462	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
463	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
464	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
465	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
466	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
467	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	—
468	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
469	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
470	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
471	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
472	#563	C₂²×C₁₃	1	8	yes	complemented
473	#563	C₂²×C₁₃	1	16	yes	complemented
474	#562	C₂²×C₁₃	1	16	yes	complemented
475	#562	C₂²×C₁₃	1	16	yes	complemented
476	#560	C₂²×C₁₃	1	8	yes	complemented
477	#559	C₂²×C₁₃	1	8	yes	complemented
478	#559	C₂²×C₁₃	1	8	yes	complemented
479	#557	C₂²×C₁₃	1	8	yes	complemented
480	#556	C₂²×C₁₃	1	8	yes	complemented
481	#556	C₂²×C₁₃	1	8	yes	complemented
482	#554	C₂²×C₁₃	1	16	yes	complemented
483	#553	C₂²×C₁₃	1	16	yes	complemented
484	#552	C₂²×C₁₃	1	16	yes	complemented
485	#551	C₂²×C₁₃	1	16	yes	complemented
486	#551	C₂²×C₁₃	1	8	yes	complemented
487	#551	C₂²×C₁₃	1	16	yes	complemented
488	#550	C₂²×C₁₃	1	8	yes	complemented
489	D₄×Q₈	C₂²×C₁₃	1	8	yes	complemented
490	D₄×Q₈	C₂²×C₁₃	1	8	yes	complemented
491	D₄×Q₈	C₂²×C₁₃	1	8	yes	complemented
492	#548	C₂²×C₁₃	1	8	yes	complemented
493	#548	C₂²×C₁₃	1	8	yes	complemented
494	#548	C₂²×C₁₃	1	8	yes	complemented
495	#548	C₂²×C₁₃	1	8	yes	complemented
496	#547	C₂²×C₁₃	1	8	yes	—
497	#547	C₂²×C₁₃	1	16	yes	complemented
498	#547	C₂²×C₁₃	1	8	yes	complemented
499	#546	C₂²×C₁₃	1	8	yes	—
500	#546	C₂²×C₁₃	1	16	yes	—
501	#546	C₂²×C₁₃	1	8	yes	complemented
502	#544	C₂²×C₁₃	1	8	yes	complemented
503	#543	C₂²×C₁₃	1	8	yes	complemented
504	#542	C₂²×C₁₃	1	4	yes	complemented
505	#542	C₂²×C₁₃	1	4	yes	complemented
506	#542	C₂²×C₁₃	1	8	yes	complemented
507	#542	C₂²×C₁₃	1	16	yes	complemented
508	#542	C₂²×C₁₃	1	16	yes	complemented
509	#541	C₂²×C₁₃	1	4	yes	complemented
510	#541	C₂²×C₁₃	1	8	yes	complemented
511	#540	C₂²×C₁₃	1	4	yes	complemented
512	#540	C₂²×C₁₃	1	16	yes	complemented
513	#539	C₂²×C₁₃	1	8	yes	complemented
514	#539	C₂²×C₁₃	1	16	yes	complemented
515	#539	C₂²×C₁₃	1	16	yes	complemented
516	#539	C₂²×C₁₃	1	8	yes	complemented
517	#538	C₂²×C₁₃	1	8	yes	complemented
518	#538	C₂²×C₁₃	1	16	yes	complemented
519	#538	C₂²×C₁₃	1	8	yes	complemented
520	#536	C₂²×C₁₃	1	2	yes	—
521	#536	C₂²×C₁₃	1	2	yes	—
522	#536	C₂²×C₁₃	1	8	yes	complemented
523	#536	C₂²×C₁₃	1	8	yes	complemented
524	#536	C₂²×C₁₃	1	2	yes	complemented
525	#536	C₂²×C₁₃	1	8	yes	complemented
526	#536	C₂²×C₁₃	1	4	yes	complemented
527	#536	C₂²×C₁₃	1	4	yes	complemented
528	#536	C₂²×C₁₃	1	4	yes	complemented
529	#535	C₂²×C₁₃	1	2	yes	—
530	#535	C₂²×C₁₃	1	4	yes	complemented
531	#535	C₂²×C₁₃	1	4	yes	complemented
532	#534	C₂²×C₁₃	1	4	yes	—
533	#533	C₂²×C₁₃	1	2	yes	complemented
534	#533	C₂²×C₁₃	1	8	yes	complemented
535	#532	C₂²×C₁₃	1	2	yes	—
536	#532	C₂²×C₁₃	1	4	yes	complemented
537	#532	C₂²×C₁₃	1	4	yes	complemented
538	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
539	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
540	#529	C₂²×C₁₃	1	8	yes	complemented
541	#529	C₂²×C₁₃	1	8	yes	complemented
542	#529	C₂²×C₁₃	1	8	yes	complemented
543	C₂×#124	C₂²×C₁₃	1	2	yes	—
544	C₂×#124	C₂²×C₁₃	1	4	yes	complemented
545	#525	C₂²×C₁₃	1	2	yes	—
546	#525	C₂²×C₁₃	1	2	yes	complemented
547	#525	C₂²×C₁₃	1	8	yes	complemented
548	#525	C₂²×C₁₃	1	4	yes	complemented
549	C₂×#123	C₂²×C₁₃	1	4	yes	—
550	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
551	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
552	#519	C₂²×C₁₃	1	2	yes	complemented
553	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
554	#518	C₂²×C₁₃	1	1	yes	characteristic
555	C₄×#41	C₂²×C₁₃	1	2	yes	—
556	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
557	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
558	C₂²×C₁₃	—	2	2	no	—
559	C₂²×C₁₃	—	2	2	no	—
560	C₂²×C₁₃	—	2	4	no	—
561	C₂²×C₁₃	—	2	4	no	—
562	C₂²×C₁₃	—	2	4	no	—
563	C₂²×C₁₃	—	2	8	no	—
564	C₂²×C₁₃	—	2	8	no	—
565	C₂²×C₁₃	—	2	8	no	—
566	C₂²×C₁₃	—	2	4	no	—
567	C₂²×C₁₃	—	4	4	no	—
568	C₂²×C₁₃	—	8	4	no	—
569	C₂²×C₁₃	—	16	4	no	—
570	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
571	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
572	C₄×C₁₃	—	2	2	no	—
573	C₄×C₁₃	—	2	4	no	—
574	C₄×C₁₃	—	2	4	no	—
575	C₄×C₁₃	—	2	4	no	—
576	C₄×C₁₃	—	2	8	no	—
577	C₄×C₁₃	—	2	4	no	—
578	C₄×C₁₃	—	2	8	no	—
579	C₄×C₁₃	—	2	4	no	—
580	C₄×C₁₃	—	2	8	no	—
581	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
582	2₋¹⁺⁴	—	4	8	no	—
583	2₋¹⁺⁴	—	4	4	no	—
584	H(5,𝔽₂)	—	4	4	no	—
585	C₂×#41	—	4	4	no	—
586	C₂×#41	C₂³×C₁₃	1	2	yes	—
587	C₂×#41	C₂³×C₁₃	1	2	yes	—
588	C₂×#41	C₂³×C₁₃	1	4	yes	—
589	C₂×#41	C₂³×C₁₃	1	8	yes	—
590	C₂×#41	C₂³×C₁₃	1	4	yes	—
591	C₂×#41	C₂³×C₁₃	1	4	yes	—
592	C₂×#41	C₂³×C₁₃	1	4	yes	—
593	C₂×#41	C₂³×C₁₃	1	4	yes	—
594	C₂×#41	C₂³×C₁₃	1	8	yes	—
595	C₂²×Q₈	—	4	4	no	—
596	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
597	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
598	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
599	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
600	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
601	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
602	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
603	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
604	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
605	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
606	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
607	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
608	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
609	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
610	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
611	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
612	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
613	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
614	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
615	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
616	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
617	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
618	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
619	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	—
620	#127	C₂³×C₁₃	1	2	yes	—
621	#127	C₂³×C₁₃	1	4	yes	—
622	#127	C₂³×C₁₃	1	8	yes	—
623	#126	C₂³×C₁₃	1	8	yes	—
624	#126	C₂³×C₁₃	1	16	yes	—
625	#126	C₂³×C₁₃	1	8	yes	—
626	#126	C₂³×C₁₃	1	8	yes	—
627	#126	C₂³×C₁₃	1	8	yes	—
628	#126	C₂³×C₁₃	1	16	yes	—
629	#126	C₂³×C₁₃	1	16	yes	—
630	#126	C₂³×C₁₃	1	16	yes	—
631	#125	C₂³×C₁₃	1	4	yes	—
632	#125	C₂³×C₁₃	1	8	yes	—
633	#125	C₂³×C₁₃	1	8	yes	—
634	#125	C₂³×C₁₃	1	16	yes	—
635	#125	C₂³×C₁₃	1	16	yes	—
636	#125	C₂³×C₁₃	1	16	yes	—
637	#124	C₂³×C₁₃	1	4	yes	—
638	#124	C₂³×C₁₃	1	4	yes	—
639	#124	C₂³×C₁₃	1	8	yes	—
640	#124	C₂³×C₁₃	1	2	yes	—
641	#124	C₂³×C₁₃	1	4	yes	—
642	#124	C₂³×C₁₃	1	4	yes	—
643	#124	C₂³×C₁₃	1	16	yes	—
644	#124	C₂³×C₁₃	1	8	yes	—
645	#124	C₂³×C₁₃	1	8	yes	—
646	#124	C₂³×C₁₃	1	2	yes	—
647	#124	C₂³×C₁₃	1	4	yes	—
648	#124	C₂³×C₁₃	1	4	yes	—
649	#124	C₂³×C₁₃	1	8	yes	—
650	#124	C₂³×C₁₃	1	16	yes	—
651	#124	C₂³×C₁₃	1	16	yes	—
652	#123	C₂³×C₁₃	1	4	yes	—
653	#123	C₂³×C₁₃	1	8	yes	—
654	#123	C₂³×C₁₃	1	16	yes	—
655	#123	C₂³×C₁₃	1	16	yes	—
656	#123	C₂³×C₁₃	1	8	yes	—
657	#123	C₂³×C₁₃	1	8	yes	—
658	#123	C₂³×C₁₃	1	4	yes	—
659	#123	C₂³×C₁₃	1	8	yes	—
660	#123	C₂³×C₁₃	1	8	yes	—
661	#123	C₂³×C₁₃	1	8	yes	—
662	#123	C₂³×C₁₃	1	8	yes	—
663	#123	C₂³×C₁₃	1	8	yes	—
664	#123	C₂³×C₁₃	1	16	yes	—
665	#123	C₂³×C₁₃	1	8	yes	—
666	#123	C₂³×C₁₃	1	8	yes	—
667	#123	C₂³×C₁₃	1	16	yes	—
668	#123	C₂³×C₁₃	1	16	yes	—
669	#123	C₂³×C₁₃	1	16	yes	—
670	#123	C₂³×C₁₃	1	16	yes	—
671	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
672	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
673	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
674	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
675	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
676	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
677	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
678	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
679	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
680	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
681	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
682	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
683	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
684	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
685	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
686	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
687	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
688	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
689	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
690	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
691	#121	C₂³×C₁₃	1	4	yes	—
692	#121	C₂³×C₁₃	1	8	yes	—
693	#121	C₂³×C₁₃	1	16	yes	—
694	#121	C₂³×C₁₃	1	4	yes	—
695	#121	C₂³×C₁₃	1	8	yes	—
696	#121	C₂³×C₁₃	1	8	yes	—
697	#121	C₂³×C₁₃	1	8	yes	—
698	#121	C₂³×C₁₃	1	8	yes	—
699	#121	C₂³×C₁₃	1	16	yes	—
700	#121	C₂³×C₁₃	1	16	yes	—
701	#121	C₂³×C₁₃	1	16	yes	—
702	#121	C₂³×C₁₃	1	16	yes	—
703	#121	C₂³×C₁₃	1	16	yes	—
704	#120	C₂³×C₁₃	1	4	yes	—
705	#120	C₂³×C₁₃	1	4	yes	—
706	#120	C₂³×C₁₃	1	8	yes	—
707	#120	C₂³×C₁₃	1	8	yes	—
708	#120	C₂³×C₁₃	1	16	yes	—
709	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
710	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
711	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
712	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
713	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
714	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
715	C₄×Q₈	C₂³×C₁₃	1	16	yes	—
716	C₄×D₄	C₂³×C₁₃	1	8	yes	—
717	C₄×D₄	C₂³×C₁₃	1	4	yes	—
718	C₄×D₄	C₂³×C₁₃	1	8	yes	—
719	C₄×D₄	C₂³×C₁₃	1	4	yes	—
720	C₄×D₄	C₂³×C₁₃	1	8	yes	—
721	C₄×D₄	C₂³×C₁₃	1	8	yes	—
722	C₄×D₄	C₂³×C₁₃	1	8	yes	—
723	C₄×D₄	C₂³×C₁₃	1	16	yes	—
724	C₄×D₄	C₂³×C₁₃	1	16	yes	—
725	C₄×D₄	C₂³×C₁₃	1	16	yes	—
726	C₄×D₄	C₂³×C₁₃	1	8	yes	—
727	C₄×D₄	C₂³×C₁₃	1	16	yes	—
728	C₄×D₄	C₂³×C₁₃	1	16	yes	—
729	C₄×D₄	C₂³×C₁₃	1	16	yes	—
730	#117	C₂³×C₁₃	1	4	yes	—
731	#117	C₂³×C₁₃	1	4	yes	—
732	#117	C₂³×C₁₃	1	2	yes	—
733	#117	C₂³×C₁₃	1	4	yes	—
734	#117	C₂³×C₁₃	1	2	yes	—
735	#117	C₂³×C₁₃	1	4	yes	—
736	#117	C₂³×C₁₃	1	4	yes	—
737	#117	C₂³×C₁₃	1	8	yes	—
738	#117	C₂³×C₁₃	1	16	yes	—
739	#117	C₂³×C₁₃	1	16	yes	—
740	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
741	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
742	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
743	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
745	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
746	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
747	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
748	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
749	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
750	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
751	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
752	C₂×C₁₃	—	2	2	no	—
753	C₂×C₁₃	—	4	4	no	—
754	C₂×C₁₃	—	4	2	no	—
755	C₂×C₁₃	—	4	4	no	—
756	C₂×C₁₃	—	4	4	no	—
757	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
758	C₂×C₁₃	2₋¹⁺⁶	1	2	yes	—
759	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
760	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
761	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
762	#41	—	2	8	no	—
763	#41	—	2	8	no	—
764	#41	—	4	8	no	—
765	#41	—	4	16	no	—
766	#41	—	4	16	no	—
767	#41	—	4	8	no	—
768	#41	—	4	8	no	—
769	#41	—	4	8	no	—
770	#41	—	4	8	no	—
771	C₂×Q₈	—	2	8	no	—
772	C₂×Q₈	—	2	4	no	—
773	C₂×Q₈	—	4	4	no	—
774	C₂×Q₈	—	4	16	no	—
775	C₂×Q₈	—	4	8	no	—
776	C₂×Q₈	—	4	8	no	—
777	C₂×Q₈	—	4	8	no	—
778	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
779	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
780	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
781	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
782	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
783	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
784	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
785	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
786	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
787	C₂×D₄	—	2	4	no	—
788	C₂×D₄	—	4	8	no	—
789	C₂×D₄	—	4	4	no	—
790	C₂×D₄	—	4	8	no	—
791	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
792	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
793	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
794	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
795	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
796	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
797	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
798	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
799	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
800	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
801	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
802	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
803	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
804	C₂²×C₄	—	2	4	no	—
805	C₂²×C₄	—	4	4	no	—
806	C₂²×C₄	—	4	4	no	—
807	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
808	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
809	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
810	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
811	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
812	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
813	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
814	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
815	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
816	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
817	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
818	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
819	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
820	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
821	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
822	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
823	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
824	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
825	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
826	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
827	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
828	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
829	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
830	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
831	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
832	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
833	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
834	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
835	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
836	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
837	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
838	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
839	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
840	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
841	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
842	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
843	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
844	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
845	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
846	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
847	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
848	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
849	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
850	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
851	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
852	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
853	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
854	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
855	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
856	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
857	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
858	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
859	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
860	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
861	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
862	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
863	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
864	C₄²	C₂⁴×C₁₃	1	2	yes	—
865	C₄²	C₂⁴×C₁₃	1	2	yes	—
866	C₄²	C₂⁴×C₁₃	1	4	yes	—
867	C₄²	C₂⁴×C₁₃	1	4	yes	—
868	C₄²	C₂⁴×C₁₃	1	8	yes	—
869	C₄²	C₂⁴×C₁₃	1	4	yes	—
870	C₄²	C₂⁴×C₁₃	1	8	yes	—
871	C₄²	C₂⁴×C₁₃	1	16	yes	—
872	C₄²	C₂⁴×C₁₃	1	8	yes	—
873	C₁₃	#62887	1	1	yes	characteristic, direct product factor, Sylow
874	C₂³	—	2	2	no	—
875	C₂³	—	2	4	no	—
876	C₂³	—	4	2	no	—
877	C₂³	—	4	4	no	—
878	C₂³	—	4	4	no	—
879	C₂³	—	4	8	no	—
880	C₂³	C₂⁵×C₁₃	1	4	yes	—
881	C₂³	C₂⁵×C₁₃	1	4	yes	—
882	C₂³	C₂⁵×C₁₃	1	2	yes	—
883	C₂³	C₂⁵×C₁₃	1	4	yes	—
884	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
885	Q₈	—	2	8	no	—
886	Q₈	—	2	8	no	—
887	Q₈	—	2	8	no	—
888	Q₈	—	2	4	no	—
889	Q₈	—	2	4	no	—
890	Q₈	—	4	8	no	—
891	Q₈	—	4	8	no	—
892	Q₈	—	4	4	no	—
893	Q₈	—	4	8	no	—
894	D₄	—	2	8	no	—
895	D₄	—	2	8	no	—
896	D₄	—	2	8	no	—
897	D₄	—	2	4	no	—
898	D₄	—	2	4	no	—
899	D₄	—	4	8	no	—
900	D₄	—	4	8	no	—
901	D₄	—	4	8	no	—
902	D₄	—	4	8	no	—
903	D₄	—	4	16	no	—
904	D₄	—	4	8	no	—
905	D₄	—	4	4	no	—
906	D₄	—	4	8	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	2	4	no	—
909	C₂×C₄	—	2	8	no	—
910	C₂×C₄	—	2	8	no	—
911	C₂×C₄	—	2	8	no	—
912	C₂×C₄	—	2	8	no	—
913	C₂×C₄	—	4	8	no	—
914	C₂×C₄	—	4	8	no	—
915	C₂×C₄	—	4	4	no	—
916	C₂×C₄	—	4	8	no	—
917	C₂×C₄	—	4	4	no	—
918	C₂×C₄	—	4	8	no	—
919	C₂×C₄	—	4	8	no	—
920	C₂×C₄	—	4	8	no	—
921	C₂×C₄	—	4	8	no	—
922	C₂×C₄	—	4	8	no	—
923	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
924	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
925	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
926	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
927	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
928	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
929	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
930	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
931	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
932	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
933	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
934	C₂²	—	2	2	no	—
935	C₂²	—	2	2	no	—
936	C₂²	—	2	4	no	—
937	C₂²	—	2	4	no	—
938	C₂²	—	2	4	no	—
939	C₂²	—	2	8	no	—
940	C₂²	—	2	8	no	—
941	C₂²	—	2	8	no	—
942	C₂²	—	2	4	no	—
943	C₂²	—	4	4	no	—
944	C₂²	—	8	4	no	—
945	C₂²	—	16	4	no	—
946	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
947	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
948	C₄	—	2	2	no	—
949	C₄	—	2	4	no	—
950	C₄	—	2	4	no	—
951	C₄	—	2	4	no	—
952	C₄	—	2	8	no	—
953	C₄	—	2	4	no	—
954	C₄	—	2	8	no	—
955	C₄	—	2	4	no	—
956	C₄	—	2	8	no	—
957	C₄	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
958	C₂	—	2	2	no	—
959	C₂	—	4	2	no	—
960	C₂	—	4	4	no	—
961	C₂	—	4	4	no	—
962	C₂	—	4	4	no	—
963	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
964	C₂	C₁₃×2₋¹⁺⁶	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×#3562	C₂	semidirect
2. C₁₃×#3561	C₂	semidirect
3. C₁₃×#3554	C₂	semidirect
4. C₁₃×#3552	C₂	semidirect
5. C₁₃×#3535	C₂	semidirect
6. C₁₃×#3533	C₂	semidirect
7. C₁₃×#3510	C₂	semidirect
8. C₁₃×#3509	C₂	semidirect
9. C₁₃×#3500	C₂	semidirect
10. C₁₃×#3499	C₂	semidirect
11. C₁₃×#3487	C₂	semidirect
12. C₁₃×#3486	C₂	semidirect
13. C₁₃×#3485	C₂	semidirect
14. C₁₃×#3455	C₂	semidirect
15. C₂×C₁₃×#536	C₂	semidirect
17. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
20. C₂³×Q₈×C₁₃	C₂²	semidirect
21. C₁₃×#563	C₂²	semidirect
22. C₁₃×#563	C₂²	semidirect
23. C₁₃×#562	C₂²	semidirect
24. C₁₃×#562	C₂²	semidirect
25. C₁₃×#560	C₂²	semidirect
26. C₁₃×#559	C₂²	semidirect
27. C₁₃×#559	C₂²	semidirect
28. C₁₃×#557	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
30. C₁₃×#556	C₂²	semidirect
31. C₁₃×#554	C₂²	semidirect
32. C₁₃×#553	C₂²	semidirect
33. C₁₃×#552	C₂²	semidirect
34. C₁₃×#551	C₂²	semidirect
35. C₁₃×#551	C₂²	semidirect
36. C₁₃×#551	C₂²	semidirect
37. C₁₃×#550	C₂²	semidirect
38. D₄×Q₈×C₁₃	C₂²	semidirect
39. D₄×Q₈×C₁₃	C₂²	semidirect
40. D₄×Q₈×C₁₃	C₂²	semidirect
41. C₁₃×#548	C₂²	semidirect
42. C₁₃×#548	C₂²	semidirect
43. C₁₃×#548	C₂²	semidirect
44. C₁₃×#548	C₂²	semidirect
46. C₁₃×#547	C₂²	semidirect
47. C₁₃×#547	C₂²	semidirect
50. C₁₃×#546	C₂²	semidirect
51. C₁₃×#544	C₂²	semidirect
52. C₁₃×#543	C₂²	semidirect
53. C₁₃×#542	C₂²	semidirect
54. C₁₃×#542	C₂²	semidirect
55. C₁₃×#542	C₂²	semidirect
56. C₁₃×#542	C₂²	semidirect
57. C₁₃×#542	C₂²	semidirect
58. C₁₃×#541	C₂²	semidirect
59. C₁₃×#541	C₂²	semidirect
60. C₁₃×#540	C₂²	semidirect
61. C₁₃×#540	C₂²	semidirect
62. C₁₃×#539	C₂²	semidirect
63. C₁₃×#539	C₂²	semidirect
64. C₁₃×#539	C₂²	semidirect
65. C₁₃×#539	C₂²	semidirect
66. C₁₃×#538	C₂²	semidirect
67. C₁₃×#538	C₂²	semidirect
68. C₁₃×#538	C₂²	semidirect
71. C₁₃×#536	C₂²	semidirect
72. C₁₃×#536	C₂²	semidirect
73. C₁₃×#536	C₂²	semidirect
74. C₁₃×#536	C₂²	semidirect
75. C₁₃×#536	C₂²	semidirect
76. C₁₃×#536	C₂²	semidirect
77. C₁₃×#536	C₂²	semidirect
79. C₁₃×#535	C₂²	semidirect
80. C₁₃×#535	C₂²	semidirect
82. C₁₃×#533	C₂²	semidirect
83. C₁₃×#533	C₂²	semidirect
85. C₁₃×#532	C₂²	semidirect
86. C₁₃×#532	C₂²	semidirect
87. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
88. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
89. C₁₃×#529	C₂²	semidirect
90. C₁₃×#529	C₂²	semidirect
91. C₁₃×#529	C₂²	semidirect
93. C₂×C₁₃×#124	C₂²	semidirect
95. C₁₃×#525	C₂²	semidirect
96. C₁₃×#525	C₂²	semidirect
97. C₁₃×#525	C₂²	semidirect
99. C₂×C₁₃×#123	C₂²	semidirect
100. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
101. C₁₃×#519	C₂²	semidirect
102. C₁₃×#519	C₂²	semidirect
105. C₄×C₁₃×#41	C₂²	semidirect
106. C₂×C₁₃×#117	C₂²	semidirect
277. #62887	C₁₃	direct (N × H)
392. #3562	C₂×C₁₃	semidirect
393. #3561	C₂×C₁₃	semidirect
394. #3554	C₂×C₁₃	semidirect
395. #3552	C₂×C₁₃	semidirect
396. #3535	C₂×C₁₃	semidirect
397. #3533	C₂×C₁₃	semidirect
398. #3510	C₂×C₁₃	semidirect
399. #3509	C₂×C₁₃	semidirect
400. #3500	C₂×C₁₃	semidirect
401. #3499	C₂×C₁₃	semidirect
402. #3487	C₂×C₁₃	semidirect
403. #3486	C₂×C₁₃	semidirect
404. #3485	C₂×C₁₃	semidirect
405. #3455	C₂×C₁₃	semidirect
406. C₂×#536	C₂×C₁₃	semidirect
468. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
471. C₂³×Q₈	C₂²×C₁₃	semidirect
472. #563	C₂²×C₁₃	semidirect
473. #563	C₂²×C₁₃	semidirect
474. #562	C₂²×C₁₃	semidirect
475. #562	C₂²×C₁₃	semidirect
476. #560	C₂²×C₁₃	semidirect
477. #559	C₂²×C₁₃	semidirect
478. #559	C₂²×C₁₃	semidirect
479. #557	C₂²×C₁₃	semidirect
480. #556	C₂²×C₁₃	semidirect
481. #556	C₂²×C₁₃	semidirect
482. #554	C₂²×C₁₃	semidirect
483. #553	C₂²×C₁₃	semidirect
484. #552	C₂²×C₁₃	semidirect
485. #551	C₂²×C₁₃	semidirect
486. #551	C₂²×C₁₃	semidirect
487. #551	C₂²×C₁₃	semidirect
488. #550	C₂²×C₁₃	semidirect
489. D₄×Q₈	C₂²×C₁₃	semidirect
490. D₄×Q₈	C₂²×C₁₃	semidirect
491. D₄×Q₈	C₂²×C₁₃	semidirect
492. #548	C₂²×C₁₃	semidirect
493. #548	C₂²×C₁₃	semidirect
494. #548	C₂²×C₁₃	semidirect
495. #548	C₂²×C₁₃	semidirect
497. #547	C₂²×C₁₃	semidirect
498. #547	C₂²×C₁₃	semidirect
501. #546	C₂²×C₁₃	semidirect
502. #544	C₂²×C₁₃	semidirect
503. #543	C₂²×C₁₃	semidirect
504. #542	C₂²×C₁₃	semidirect
505. #542	C₂²×C₁₃	semidirect
506. #542	C₂²×C₁₃	semidirect
507. #542	C₂²×C₁₃	semidirect
508. #542	C₂²×C₁₃	semidirect
509. #541	C₂²×C₁₃	semidirect
510. #541	C₂²×C₁₃	semidirect
511. #540	C₂²×C₁₃	semidirect
512. #540	C₂²×C₁₃	semidirect
513. #539	C₂²×C₁₃	semidirect
514. #539	C₂²×C₁₃	semidirect
515. #539	C₂²×C₁₃	semidirect
516. #539	C₂²×C₁₃	semidirect
517. #538	C₂²×C₁₃	semidirect
518. #538	C₂²×C₁₃	semidirect
519. #538	C₂²×C₁₃	semidirect
522. #536	C₂²×C₁₃	semidirect
523. #536	C₂²×C₁₃	semidirect
524. #536	C₂²×C₁₃	semidirect
525. #536	C₂²×C₁₃	semidirect
526. #536	C₂²×C₁₃	semidirect
527. #536	C₂²×C₁₃	semidirect
528. #536	C₂²×C₁₃	semidirect
530. #535	C₂²×C₁₃	semidirect
531. #535	C₂²×C₁₃	semidirect
533. #533	C₂²×C₁₃	semidirect
534. #533	C₂²×C₁₃	semidirect
536. #532	C₂²×C₁₃	semidirect
537. #532	C₂²×C₁₃	semidirect
538. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
539. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
540. #529	C₂²×C₁₃	semidirect
541. #529	C₂²×C₁₃	semidirect
542. #529	C₂²×C₁₃	semidirect
544. C₂×#124	C₂²×C₁₃	semidirect
546. #525	C₂²×C₁₃	semidirect
547. #525	C₂²×C₁₃	semidirect
548. #525	C₂²×C₁₃	semidirect
550. C₂×#123	C₂²×C₁₃	semidirect
551. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
552. #519	C₂²×C₁₃	semidirect
553. #519	C₂²×C₁₃	semidirect
556. C₄×#41	C₂²×C₁₃	semidirect
557. C₂×#117	C₂²×C₁₃	semidirect
873. C₁₃	#62887	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×#3562	2
C₁₃×#3561	2
C₁₃×#3554	2
C₁₃×#3552	2
C₁₃×#3535	2
C₁₃×#3533	2
C₁₃×#3510	2
C₁₃×#3509	2
C₁₃×#3500	2
C₁₃×#3499	2
C₁₃×#3487	2
C₁₃×#3486	2
C₁₃×#3485	2
C₁₃×#3455	2
C₂×C₁₃×#536	2
#62887	13

Subgroups — C13×#62887 #15749226

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62887 #15749226