Subgroups — C₁₃×#62880 #15749219

Order 3328.

7362 conjugacy classes of subgroups.

The subgroup lattice has 948 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×#3543	C₂	1	8	yes	maximal, complemented
3	C₁₃×#3542	C₂	1	8	yes	maximal, complemented
4	C₁₃×#3539	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3537	C₂	1	8	yes	maximal, complemented
6	C₁₃×#3537	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3534	C₂	1	8	yes	maximal, complemented
8	C₁₃×#3512	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3506	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3498	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3496	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3488	C₂	1	4	yes	maximal, complemented
13	C₁₃×#3455	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#540	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3449	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	4	yes	complemented
17	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
18	C₁₃×#562	C₂²	1	16	yes	complemented
19	C₁₃×#560	C₂²	1	16	yes	complemented
20	C₁₃×#560	C₂²	1	16	yes	complemented
21	C₁₃×#560	C₂²	1	16	yes	complemented
22	C₁₃×#559	C₂²	1	8	yes	complemented
23	C₁₃×#556	C₂²	1	4	yes	complemented
24	C₁₃×#555	C₂²	1	4	yes	complemented
25	C₁₃×#553	C₂²	1	16	yes	complemented
26	C₁₃×#553	C₂²	1	16	yes	complemented
27	C₁₃×#553	C₂²	1	8	yes	complemented
28	C₁₃×#553	C₂²	1	8	yes	complemented
29	C₁₃×#552	C₂²	1	8	yes	complemented
30	C₁₃×#551	C₂²	1	16	yes	complemented
31	C₁₃×#550	C₂²	1	8	yes	complemented
32	C₁₃×#550	C₂²	1	4	yes	complemented
33	C₁₃×#550	C₂²	1	8	yes	complemented
34	C₁₃×#548	C₂²	1	8	yes	complemented
35	C₁₃×#547	C₂²	1	4	yes	complemented
36	C₁₃×#547	C₂²	1	4	yes	complemented
37	C₁₃×#547	C₂²	1	4	yes	complemented
38	C₁₃×#546	C₂²	1	16	yes	complemented
39	C₁₃×#546	C₂²	1	16	yes	complemented
40	C₁₃×#546	C₂²	1	8	yes	complemented
41	C₁₃×#546	C₂²	1	8	yes	complemented
42	C₁₃×#546	C₂²	1	8	yes	complemented
43	D₄²×C₁₃	C₂²	1	16	yes	complemented
44	D₄²×C₁₃	C₂²	1	16	yes	complemented
45	D₄²×C₁₃	C₂²	1	16	yes	complemented
46	D₄²×C₁₃	C₂²	1	4	yes	complemented
47	D₄²×C₁₃	C₂²	1	8	yes	complemented
48	D₄²×C₁₃	C₂²	1	8	yes	complemented
49	D₄²×C₁₃	C₂²	1	4	yes	complemented
50	C₁₃×#542	C₂²	1	4	yes	complemented
51	C₁₃×#541	C₂²	1	2	yes	complemented
52	C₁₃×#541	C₂²	1	4	yes	complemented
53	C₁₃×#540	C₂²	1	16	yes	complemented
54	C₁₃×#540	C₂²	1	2	yes	complemented
55	C₁₃×#540	C₂²	1	4	yes	complemented
56	C₁₃×#540	C₂²	1	16	yes	complemented
57	C₁₃×#540	C₂²	1	4	yes	complemented
58	C₁₃×#540	C₂²	1	4	yes	complemented
59	C₁₃×#540	C₂²	1	8	yes	complemented
60	C₁₃×#539	C₂²	1	4	yes	complemented
61	C₁₃×#539	C₂²	1	16	yes	complemented
62	C₁₃×#538	C₂²	1	16	yes	complemented
63	C₁₃×#538	C₂²	1	8	yes	complemented
64	C₁₃×#538	C₂²	1	4	yes	complemented
65	C₁₃×#538	C₂²	1	16	yes	complemented
66	C₁₃×#537	C₂²	1	4	yes	complemented
67	C₁₃×#537	C₂²	1	8	yes	complemented
68	C₁₃×#537	C₂²	1	4	yes	complemented
69	C₁₃×#536	C₂²	1	4	yes	complemented
70	C₁₃×#535	C₂²	1	16	yes	complemented
71	C₁₃×#535	C₂²	1	8	yes	complemented
72	C₁₃×#535	C₂²	1	4	yes	complemented
73	C₁₃×#535	C₂²	1	8	yes	complemented
74	C₁₃×#535	C₂²	1	4	yes	complemented
75	C₁₃×#534	C₂²	1	16	yes	complemented
76	C₁₃×#534	C₂²	1	8	yes	complemented
77	C₁₃×#534	C₂²	1	4	yes	complemented
78	C₁₃×#534	C₂²	1	16	yes	complemented
79	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#532	C₂²	1	4	yes	complemented
81	C₁₃×#532	C₂²	1	2	yes	complemented
82	C₁₃×#532	C₂²	1	2	yes	complemented
83	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
84	C₂×C₁₃×#127	C₂²	1	4	yes	complemented
85	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#529	C₂²	1	8	yes	complemented
87	C₁₃×#529	C₂²	1	8	yes	complemented
88	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#525	C₂²	1	8	yes	complemented
90	C₁₃×#525	C₂²	1	4	yes	complemented
91	C₁₃×#525	C₂²	1	8	yes	complemented
92	C₁₃×#525	C₂²	1	4	yes	complemented
93	C₁₃×#525	C₂²	1	2	yes	complemented
94	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
95	C₂×C₁₃×#121	C₂²	1	8	yes	complemented
96	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
97	C₂×C₁₃×#121	C₂²	1	8	yes	complemented
98	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
99	C₁₃×#520	C₂²	1	4	yes	complemented
100	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
101	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
102	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×H(5,𝔽₂)	—	4	16	no	—
104	C₂×C₁₃×#41	—	4	8	no	—
105	C₂×C₁₃×#41	C₂³	1	2	yes	—
106	C₂×C₁₃×#41	C₂³	1	4	yes	—
107	C₂×C₁₃×#41	C₂³	1	4	yes	—
108	C₂×C₁₃×#41	C₂³	1	8	yes	—
109	C₂×C₁₃×#41	C₂³	1	8	yes	—
110	C₂×C₁₃×#41	C₂³	1	4	yes	—
111	C₂×C₁₃×#41	C₂³	1	4	yes	—
112	C₂×C₁₃×#41	C₂³	1	8	yes	—
113	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
114	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
115	C₂²×D₄×C₁₃	C₂³	1	16	yes	—
116	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
117	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
118	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
119	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
120	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
121	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
122	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
123	C₂²×D₄×C₁₃	C₂³	1	16	yes	—
124	C₂²×D₄×C₁₃	C₂³	1	16	yes	—
125	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
127	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
128	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
129	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
130	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
131	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
132	C₁₃×#127	C₂³	1	2	yes	—
133	C₁₃×#127	C₂³	1	4	yes	—
134	C₁₃×#127	C₂³	1	8	yes	—
135	C₁₃×#127	C₂³	1	16	yes	—
136	C₁₃×#127	C₂³	1	4	yes	—
137	C₁₃×#127	C₂³	1	2	yes	—
138	C₁₃×#127	C₂³	1	1	yes	characteristic
139	C₁₃×#127	C₂³	1	16	yes	—
140	C₁₃×#126	C₂³	1	16	yes	—
141	C₁₃×#126	C₂³	1	8	yes	—
142	C₁₃×#126	C₂³	1	8	yes	—
143	C₁₃×#126	C₂³	1	16	yes	—
144	C₁₃×#126	C₂³	1	16	yes	—
145	C₁₃×#125	C₂³	1	4	yes	—
146	C₁₃×#125	C₂³	1	4	yes	—
147	C₁₃×#125	C₂³	1	8	yes	—
148	C₁₃×#125	C₂³	1	2	yes	—
149	C₁₃×#125	C₂³	1	16	yes	—
150	C₁₃×#124	C₂³	1	4	yes	—
151	C₁₃×#124	C₂³	1	8	yes	—
152	C₁₃×#124	C₂³	1	8	yes	—
153	C₁₃×#124	C₂³	1	4	yes	—
154	C₁₃×#124	C₂³	1	2	yes	—
155	C₁₃×#124	C₂³	1	16	yes	—
156	C₁₃×#124	C₂³	1	16	yes	—
157	C₁₃×#123	C₂³	1	16	yes	—
158	C₁₃×#123	C₂³	1	16	yes	—
159	C₁₃×#123	C₂³	1	8	yes	—
160	C₁₃×#123	C₂³	1	8	yes	—
161	C₁₃×#123	C₂³	1	16	yes	—
162	C₁₃×#123	C₂³	1	4	yes	—
163	C₁₃×#123	C₂³	1	16	yes	—
164	C₁₃×#123	C₂³	1	8	yes	—
165	C₁₃×#123	C₂³	1	8	yes	—
166	C₁₃×#123	C₂³	1	16	yes	—
167	C₁₃×#123	C₂³	1	16	yes	—
168	C₁₃×#123	C₂³	1	16	yes	—
169	C₁₃×#123	C₂³	1	16	yes	—
170	C₁₃×#123	C₂³	1	16	yes	—
171	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
172	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
173	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
174	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
175	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
176	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
177	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
178	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
179	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
180	C₁₃×#121	C₂³	1	4	yes	—
181	C₁₃×#121	C₂³	1	8	yes	—
182	C₁₃×#121	C₂³	1	4	yes	—
183	C₁₃×#121	C₂³	1	4	yes	—
184	C₁₃×#121	C₂³	1	16	yes	—
185	C₁₃×#121	C₂³	1	16	yes	—
186	C₁₃×#121	C₂³	1	16	yes	—
187	C₁₃×#121	C₂³	1	8	yes	—
188	C₁₃×#121	C₂³	1	8	yes	—
189	C₁₃×#121	C₂³	1	16	yes	—
190	C₁₃×#121	C₂³	1	8	yes	—
191	C₁₃×#121	C₂³	1	16	yes	—
192	C₁₃×#121	C₂³	1	8	yes	—
193	C₁₃×#121	C₂³	1	8	yes	—
194	C₁₃×#121	C₂³	1	16	yes	—
195	C₁₃×#121	C₂³	1	4	yes	—
196	C₁₃×#121	C₂³	1	8	yes	—
197	C₁₃×#121	C₂³	1	8	yes	—
198	C₁₃×#121	C₂³	1	8	yes	—
199	C₁₃×#121	C₂³	1	8	yes	—
200	C₁₃×#121	C₂³	1	8	yes	—
201	C₁₃×#121	C₂³	1	8	yes	—
202	C₁₃×#121	C₂³	1	8	yes	—
203	C₁₃×#121	C₂³	1	16	yes	—
204	C₁₃×#121	C₂³	1	16	yes	—
205	C₁₃×#121	C₂³	1	16	yes	—
206	C₁₃×#121	C₂³	1	16	yes	—
207	C₁₃×#121	C₂³	1	16	yes	—
208	C₁₃×#121	C₂³	1	16	yes	—
209	C₁₃×#121	C₂³	1	16	yes	—
210	C₁₃×#121	C₂³	1	16	yes	—
211	C₁₃×#120	C₂³	1	8	yes	—
212	C₁₃×#120	C₂³	1	8	yes	—
213	C₁₃×#120	C₂³	1	16	yes	—
214	C₁₃×#120	C₂³	1	16	yes	—
215	C₁₃×#120	C₂³	1	4	yes	—
216	C₁₃×#120	C₂³	1	16	yes	—
217	C₁₃×#120	C₂³	1	16	yes	—
218	C₁₃×#120	C₂³	1	16	yes	—
219	C₁₃×#120	C₂³	1	16	yes	—
220	C₁₃×#120	C₂³	1	16	yes	—
221	C₁₃×#120	C₂³	1	16	yes	—
222	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
223	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
224	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
225	C₄×D₄×C₁₃	C₂³	1	4	yes	—
226	C₄×D₄×C₁₃	C₂³	1	4	yes	—
227	C₄×D₄×C₁₃	C₂³	1	4	yes	—
228	C₄×D₄×C₁₃	C₂³	1	4	yes	—
229	C₄×D₄×C₁₃	C₂³	1	8	yes	—
230	C₄×D₄×C₁₃	C₂³	1	4	yes	—
231	C₄×D₄×C₁₃	C₂³	1	16	yes	—
232	C₄×D₄×C₁₃	C₂³	1	8	yes	—
233	C₄×D₄×C₁₃	C₂³	1	4	yes	—
234	C₄×D₄×C₁₃	C₂³	1	8	yes	—
235	C₄×D₄×C₁₃	C₂³	1	4	yes	—
236	C₄×D₄×C₁₃	C₂³	1	8	yes	—
237	C₄×D₄×C₁₃	C₂³	1	16	yes	—
238	C₄×D₄×C₁₃	C₂³	1	16	yes	—
239	C₄×D₄×C₁₃	C₂³	1	16	yes	—
240	C₄×D₄×C₁₃	C₂³	1	4	yes	—
241	C₄×D₄×C₁₃	C₂³	1	16	yes	—
242	C₄×D₄×C₁₃	C₂³	1	16	yes	—
243	C₁₃×#117	C₂³	1	2	yes	—
244	C₁₃×#117	C₂³	1	2	yes	—
245	C₁₃×#117	C₂³	1	4	yes	—
246	C₁₃×#117	C₂³	1	2	yes	—
247	C₁₃×#117	C₂³	1	4	yes	—
248	C₁₃×#117	C₂³	1	8	yes	—
249	C₁₃×#117	C₂³	1	8	yes	—
250	C₁₃×#117	C₂³	1	16	yes	—
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
252	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
256	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
257	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
258	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
259	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
260	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
261	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
262	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
263	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
264	#62880	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
265	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
266	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
267	C₂⁴×C₁₃	C₂⁴	1	16	yes	—
268	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
269	C₁₃×#41	—	2	16	no	—
270	C₁₃×#41	—	2	8	no	—
271	C₁₃×#41	—	4	8	no	—
272	C₁₃×#41	—	4	8	no	—
273	C₁₃×#41	—	4	8	no	—
274	C₁₃×#41	—	4	16	no	—
275	C₁₃×#41	—	4	16	no	—
276	C₁₃×#41	—	8	8	no	—
277	C₂×Q₈×C₁₃	—	4	4	no	—
278	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
279	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
280	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
281	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
282	C₂×D₄×C₁₃	—	2	8	no	—
283	C₂×D₄×C₁₃	—	4	4	no	—
284	C₂×D₄×C₁₃	—	4	16	no	—
285	C₂×D₄×C₁₃	—	4	16	no	—
286	C₂×D₄×C₁₃	—	4	8	no	—
287	C₂×D₄×C₁₃	—	4	32	no	—
288	C₂×D₄×C₁₃	—	8	4	no	—
289	C₂×D₄×C₁₃	—	8	8	no	—
290	C₂×D₄×C₁₃	—	8	4	no	—
291	C₂×D₄×C₁₃	—	8	16	no	—
292	C₂×D₄×C₁₃	—	8	16	no	—
293	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
294	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
295	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
296	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
297	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
298	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
299	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
300	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
301	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
302	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
303	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
304	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
305	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
306	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
307	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
308	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
309	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
310	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
311	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
312	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
313	C₂²×C₄×C₁₃	—	2	4	no	—
314	C₂²×C₄×C₁₃	—	4	8	no	—
315	C₂²×C₄×C₁₃	—	8	4	no	—
316	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
317	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
319	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
324	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
325	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
326	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
327	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
328	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
329	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
330	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
331	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
333	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
334	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
335	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
336	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
337	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
338	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
339	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
340	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
341	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
342	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
343	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
344	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
345	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
346	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
347	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
348	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
349	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
350	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
351	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
352	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
353	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
354	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
355	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
356	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
357	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
358	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
359	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
360	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
361	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
362	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
363	C₁₃×C₂²⋊C₄	C₂⁴	1	8	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	C₄²×C₁₃	C₂⁴	1	2	yes	—
368	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₄²×C₁₃	C₂⁴	1	2	yes	—
371	C₄²×C₁₃	C₂⁴	1	2	yes	—
372	C₄²×C₁₃	C₂⁴	1	4	yes	—
373	C₄²×C₁₃	C₂⁴	1	8	yes	—
374	C₄²×C₁₃	C₂⁴	1	16	yes	—
375	#3562	C₂×C₁₃	1	8	yes	complemented
376	#3543	C₂×C₁₃	1	8	yes	complemented
377	#3542	C₂×C₁₃	1	8	yes	complemented
378	#3539	C₂×C₁₃	1	4	yes	complemented
379	#3537	C₂×C₁₃	1	8	yes	complemented
380	#3537	C₂×C₁₃	1	4	yes	complemented
381	#3534	C₂×C₁₃	1	8	yes	complemented
382	#3512	C₂×C₁₃	1	2	yes	complemented
383	#3506	C₂×C₁₃	1	2	yes	complemented
384	#3498	C₂×C₁₃	1	2	yes	complemented
385	#3496	C₂×C₁₃	1	2	yes	complemented
386	#3488	C₂×C₁₃	1	4	yes	complemented
387	#3455	C₂×C₁₃	1	1	yes	characteristic, complemented
388	C₂×#540	C₂×C₁₃	1	1	yes	characteristic, complemented
389	#3449	C₂×C₁₃	1	1	yes	characteristic, complemented
390	C₂³×C₁₃	—	2	2	no	—
391	C₂³×C₁₃	—	2	8	no	—
392	C₂³×C₁₃	—	4	4	no	—
393	C₂³×C₁₃	—	4	4	no	—
394	C₂³×C₁₃	—	4	2	no	—
395	C₂³×C₁₃	—	4	4	no	—
396	C₂³×C₁₃	—	4	8	no	—
397	C₂³×C₁₃	—	4	16	no	—
398	C₂³×C₁₃	—	4	16	no	—
399	C₂³×C₁₃	—	4	16	no	—
400	C₂³×C₁₃	C₂⁵	1	4	yes	—
401	C₂³×C₁₃	C₂⁵	1	2	yes	—
402	C₂³×C₁₃	C₂⁵	1	8	yes	—
403	C₂³×C₁₃	C₂⁵	1	8	yes	—
404	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
405	Q₈×C₁₃	—	2	8	no	—
406	Q₈×C₁₃	—	2	4	no	—
407	Q₈×C₁₃	—	4	4	no	—
408	Q₈×C₁₃	—	4	4	no	—
409	D₄×C₁₃	—	2	8	no	—
410	D₄×C₁₃	—	2	16	no	—
411	D₄×C₁₃	—	2	8	no	—
412	D₄×C₁₃	—	2	8	no	—
413	D₄×C₁₃	—	2	4	no	—
414	D₄×C₁₃	—	2	8	no	—
415	D₄×C₁₃	—	4	16	no	—
416	D₄×C₁₃	—	4	16	no	—
417	D₄×C₁₃	—	4	4	no	—
418	D₄×C₁₃	—	4	8	no	—
419	D₄×C₁₃	—	4	4	no	—
420	D₄×C₁₃	—	4	16	no	—
421	D₄×C₁₃	—	4	4	no	—
422	D₄×C₁₃	—	4	16	no	—
423	D₄×C₁₃	—	4	16	no	—
424	D₄×C₁₃	—	4	8	no	—
425	D₄×C₁₃	—	4	8	no	—
426	D₄×C₁₃	—	4	16	no	—
427	D₄×C₁₃	—	4	16	no	—
428	D₄×C₁₃	—	4	4	no	—
429	C₂×C₄×C₁₃	—	2	2	no	—
430	C₂×C₄×C₁₃	—	2	4	no	—
431	C₂×C₄×C₁₃	—	2	4	no	—
432	C₂×C₄×C₁₃	—	2	16	no	—
433	C₂×C₄×C₁₃	—	2	8	no	—
434	C₂×C₄×C₁₃	—	4	4	no	—
435	C₂×C₄×C₁₃	—	4	8	no	—
436	C₂×C₄×C₁₃	—	4	2	no	—
437	C₂×C₄×C₁₃	—	4	4	no	—
438	C₂×C₄×C₁₃	—	4	8	no	—
439	C₂×C₄×C₁₃	—	4	8	no	—
440	C₂×C₄×C₁₃	—	4	16	no	—
441	C₂×C₄×C₁₃	—	4	2	no	—
442	C₂×C₄×C₁₃	—	4	8	no	—
443	C₂×C₄×C₁₃	—	4	16	no	—
444	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
445	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
446	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
447	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
448	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
449	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
450	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
451	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
452	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
453	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
454	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
455	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	4	yes	complemented
456	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
457	#562	C₂²×C₁₃	1	16	yes	complemented
458	#560	C₂²×C₁₃	1	16	yes	complemented
459	#560	C₂²×C₁₃	1	16	yes	complemented
460	#560	C₂²×C₁₃	1	16	yes	complemented
461	#559	C₂²×C₁₃	1	8	yes	complemented
462	#556	C₂²×C₁₃	1	4	yes	complemented
463	#555	C₂²×C₁₃	1	4	yes	complemented
464	#553	C₂²×C₁₃	1	8	yes	complemented
465	#553	C₂²×C₁₃	1	16	yes	complemented
466	#553	C₂²×C₁₃	1	8	yes	complemented
467	#553	C₂²×C₁₃	1	16	yes	complemented
468	#552	C₂²×C₁₃	1	8	yes	complemented
469	#551	C₂²×C₁₃	1	16	yes	complemented
470	#550	C₂²×C₁₃	1	8	yes	complemented
471	#550	C₂²×C₁₃	1	8	yes	complemented
472	#550	C₂²×C₁₃	1	4	yes	complemented
473	#548	C₂²×C₁₃	1	8	yes	complemented
474	#547	C₂²×C₁₃	1	4	yes	complemented
475	#547	C₂²×C₁₃	1	4	yes	complemented
476	#547	C₂²×C₁₃	1	4	yes	complemented
477	#546	C₂²×C₁₃	1	16	yes	complemented
478	#546	C₂²×C₁₃	1	8	yes	complemented
479	#546	C₂²×C₁₃	1	8	yes	complemented
480	#546	C₂²×C₁₃	1	8	yes	complemented
481	#546	C₂²×C₁₃	1	16	yes	complemented
482	D₄²	C₂²×C₁₃	1	16	yes	complemented
483	D₄²	C₂²×C₁₃	1	8	yes	complemented
484	D₄²	C₂²×C₁₃	1	4	yes	complemented
485	D₄²	C₂²×C₁₃	1	4	yes	complemented
486	D₄²	C₂²×C₁₃	1	16	yes	complemented
487	D₄²	C₂²×C₁₃	1	8	yes	complemented
488	D₄²	C₂²×C₁₃	1	16	yes	complemented
489	#542	C₂²×C₁₃	1	4	yes	complemented
490	#541	C₂²×C₁₃	1	2	yes	complemented
491	#541	C₂²×C₁₃	1	4	yes	complemented
492	#540	C₂²×C₁₃	1	4	yes	complemented
493	#540	C₂²×C₁₃	1	4	yes	complemented
494	#540	C₂²×C₁₃	1	8	yes	complemented
495	#540	C₂²×C₁₃	1	2	yes	complemented
496	#540	C₂²×C₁₃	1	4	yes	complemented
497	#540	C₂²×C₁₃	1	16	yes	complemented
498	#540	C₂²×C₁₃	1	16	yes	complemented
499	#539	C₂²×C₁₃	1	4	yes	complemented
500	#539	C₂²×C₁₃	1	16	yes	complemented
501	#538	C₂²×C₁₃	1	4	yes	complemented
502	#538	C₂²×C₁₃	1	8	yes	complemented
503	#538	C₂²×C₁₃	1	16	yes	complemented
504	#538	C₂²×C₁₃	1	16	yes	complemented
505	#537	C₂²×C₁₃	1	4	yes	complemented
506	#537	C₂²×C₁₃	1	4	yes	complemented
507	#537	C₂²×C₁₃	1	8	yes	complemented
508	#536	C₂²×C₁₃	1	4	yes	complemented
509	#535	C₂²×C₁₃	1	4	yes	complemented
510	#535	C₂²×C₁₃	1	4	yes	complemented
511	#535	C₂²×C₁₃	1	8	yes	complemented
512	#535	C₂²×C₁₃	1	8	yes	complemented
513	#535	C₂²×C₁₃	1	16	yes	complemented
514	#534	C₂²×C₁₃	1	4	yes	complemented
515	#534	C₂²×C₁₃	1	8	yes	complemented
516	#534	C₂²×C₁₃	1	16	yes	complemented
517	#534	C₂²×C₁₃	1	16	yes	complemented
518	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
519	#532	C₂²×C₁₃	1	2	yes	complemented
520	#532	C₂²×C₁₃	1	2	yes	complemented
521	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
522	#532	C₂²×C₁₃	1	4	yes	complemented
523	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
524	C₂×#127	C₂²×C₁₃	1	4	yes	complemented
525	#529	C₂²×C₁₃	1	8	yes	complemented
526	#529	C₂²×C₁₃	1	8	yes	complemented
527	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
528	#525	C₂²×C₁₃	1	4	yes	complemented
529	#525	C₂²×C₁₃	1	4	yes	complemented
530	#525	C₂²×C₁₃	1	2	yes	complemented
531	#525	C₂²×C₁₃	1	8	yes	complemented
532	#525	C₂²×C₁₃	1	8	yes	complemented
533	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
534	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
535	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
536	C₂×#121	C₂²×C₁₃	1	8	yes	complemented
537	C₂×#121	C₂²×C₁₃	1	8	yes	complemented
538	#520	C₂²×C₁₃	1	4	yes	complemented
539	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
540	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
541	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
542	C₂²×C₁₃	—	2	2	no	—
543	C₂²×C₁₃	—	2	2	no	—
544	C₂²×C₁₃	—	2	8	no	—
545	C₂²×C₁₃	—	2	4	no	—
546	C₂²×C₁₃	—	2	8	no	—
547	C₂²×C₁₃	—	2	8	no	—
548	C₂²×C₁₃	—	2	8	no	—
549	C₂²×C₁₃	—	2	8	no	—
550	C₂²×C₁₃	—	2	4	no	—
551	C₂²×C₁₃	—	2	8	no	—
552	C₂²×C₁₃	—	2	8	no	—
553	C₂²×C₁₃	—	8	2	no	—
554	C₂²×C₁₃	—	8	8	no	—
555	C₂²×C₁₃	—	8	8	no	—
556	C₂²×C₁₃	—	16	16	no	—
557	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
558	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
559	C₄×C₁₃	—	2	2	no	—
560	C₄×C₁₃	—	2	4	no	—
561	C₄×C₁₃	—	2	8	no	—
562	C₄×C₁₃	—	2	2	no	—
563	C₄×C₁₃	—	2	8	no	—
564	C₄×C₁₃	—	2	2	no	—
565	C₄×C₁₃	—	2	4	no	—
566	C₄×C₁₃	—	2	8	no	—
567	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
568	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
569	H(5,𝔽₂)	—	4	16	no	—
570	C₂×#41	—	4	8	no	—
571	C₂×#41	C₂³×C₁₃	1	2	yes	—
572	C₂×#41	C₂³×C₁₃	1	4	yes	—
573	C₂×#41	C₂³×C₁₃	1	4	yes	—
574	C₂×#41	C₂³×C₁₃	1	8	yes	—
575	C₂×#41	C₂³×C₁₃	1	8	yes	—
576	C₂×#41	C₂³×C₁₃	1	4	yes	—
577	C₂×#41	C₂³×C₁₃	1	4	yes	—
578	C₂×#41	C₂³×C₁₃	1	8	yes	—
579	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
580	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
581	C₂²×D₄	C₂³×C₁₃	1	16	yes	—
582	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
583	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
584	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
585	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
586	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
587	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
588	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
589	C₂²×D₄	C₂³×C₁₃	1	16	yes	—
590	C₂²×D₄	C₂³×C₁₃	1	16	yes	—
591	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
592	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
593	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
594	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
595	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
596	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
597	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
598	#127	C₂³×C₁₃	1	4	yes	—
599	#127	C₂³×C₁₃	1	2	yes	—
600	#127	C₂³×C₁₃	1	8	yes	—
601	#127	C₂³×C₁₃	1	16	yes	—
602	#127	C₂³×C₁₃	1	4	yes	—
603	#127	C₂³×C₁₃	1	2	yes	—
604	#127	C₂³×C₁₃	1	1	yes	characteristic
605	#127	C₂³×C₁₃	1	16	yes	—
606	#126	C₂³×C₁₃	1	16	yes	—
607	#126	C₂³×C₁₃	1	8	yes	—
608	#126	C₂³×C₁₃	1	8	yes	—
609	#126	C₂³×C₁₃	1	16	yes	—
610	#126	C₂³×C₁₃	1	16	yes	—
611	#125	C₂³×C₁₃	1	4	yes	—
612	#125	C₂³×C₁₃	1	4	yes	—
613	#125	C₂³×C₁₃	1	8	yes	—
614	#125	C₂³×C₁₃	1	2	yes	—
615	#125	C₂³×C₁₃	1	16	yes	—
616	#124	C₂³×C₁₃	1	4	yes	—
617	#124	C₂³×C₁₃	1	8	yes	—
618	#124	C₂³×C₁₃	1	8	yes	—
619	#124	C₂³×C₁₃	1	4	yes	—
620	#124	C₂³×C₁₃	1	2	yes	—
621	#124	C₂³×C₁₃	1	16	yes	—
622	#124	C₂³×C₁₃	1	16	yes	—
623	#123	C₂³×C₁₃	1	16	yes	—
624	#123	C₂³×C₁₃	1	16	yes	—
625	#123	C₂³×C₁₃	1	8	yes	—
626	#123	C₂³×C₁₃	1	8	yes	—
627	#123	C₂³×C₁₃	1	16	yes	—
628	#123	C₂³×C₁₃	1	4	yes	—
629	#123	C₂³×C₁₃	1	16	yes	—
630	#123	C₂³×C₁₃	1	8	yes	—
631	#123	C₂³×C₁₃	1	8	yes	—
632	#123	C₂³×C₁₃	1	16	yes	—
633	#123	C₂³×C₁₃	1	16	yes	—
634	#123	C₂³×C₁₃	1	16	yes	—
635	#123	C₂³×C₁₃	1	16	yes	—
636	#123	C₂³×C₁₃	1	16	yes	—
637	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
638	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
639	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
640	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
641	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
642	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
643	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
644	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
645	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
646	#121	C₂³×C₁₃	1	4	yes	—
647	#121	C₂³×C₁₃	1	8	yes	—
648	#121	C₂³×C₁₃	1	4	yes	—
649	#121	C₂³×C₁₃	1	4	yes	—
650	#121	C₂³×C₁₃	1	16	yes	—
651	#121	C₂³×C₁₃	1	16	yes	—
652	#121	C₂³×C₁₃	1	16	yes	—
653	#121	C₂³×C₁₃	1	8	yes	—
654	#121	C₂³×C₁₃	1	8	yes	—
655	#121	C₂³×C₁₃	1	16	yes	—
656	#121	C₂³×C₁₃	1	8	yes	—
657	#121	C₂³×C₁₃	1	16	yes	—
658	#121	C₂³×C₁₃	1	8	yes	—
659	#121	C₂³×C₁₃	1	8	yes	—
660	#121	C₂³×C₁₃	1	16	yes	—
661	#121	C₂³×C₁₃	1	4	yes	—
662	#121	C₂³×C₁₃	1	8	yes	—
663	#121	C₂³×C₁₃	1	8	yes	—
664	#121	C₂³×C₁₃	1	8	yes	—
665	#121	C₂³×C₁₃	1	8	yes	—
666	#121	C₂³×C₁₃	1	8	yes	—
667	#121	C₂³×C₁₃	1	8	yes	—
668	#121	C₂³×C₁₃	1	8	yes	—
669	#121	C₂³×C₁₃	1	16	yes	—
670	#121	C₂³×C₁₃	1	16	yes	—
671	#121	C₂³×C₁₃	1	16	yes	—
672	#121	C₂³×C₁₃	1	16	yes	—
673	#121	C₂³×C₁₃	1	16	yes	—
674	#121	C₂³×C₁₃	1	16	yes	—
675	#121	C₂³×C₁₃	1	16	yes	—
676	#121	C₂³×C₁₃	1	16	yes	—
677	#120	C₂³×C₁₃	1	8	yes	—
678	#120	C₂³×C₁₃	1	8	yes	—
679	#120	C₂³×C₁₃	1	16	yes	—
680	#120	C₂³×C₁₃	1	16	yes	—
681	#120	C₂³×C₁₃	1	4	yes	—
682	#120	C₂³×C₁₃	1	16	yes	—
683	#120	C₂³×C₁₃	1	16	yes	—
684	#120	C₂³×C₁₃	1	16	yes	—
685	#120	C₂³×C₁₃	1	16	yes	—
686	#120	C₂³×C₁₃	1	16	yes	—
687	#120	C₂³×C₁₃	1	16	yes	—
688	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
689	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
690	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
691	C₄×D₄	C₂³×C₁₃	1	4	yes	—
692	C₄×D₄	C₂³×C₁₃	1	4	yes	—
693	C₄×D₄	C₂³×C₁₃	1	4	yes	—
694	C₄×D₄	C₂³×C₁₃	1	4	yes	—
695	C₄×D₄	C₂³×C₁₃	1	8	yes	—
696	C₄×D₄	C₂³×C₁₃	1	4	yes	—
697	C₄×D₄	C₂³×C₁₃	1	16	yes	—
698	C₄×D₄	C₂³×C₁₃	1	8	yes	—
699	C₄×D₄	C₂³×C₁₃	1	4	yes	—
700	C₄×D₄	C₂³×C₁₃	1	8	yes	—
701	C₄×D₄	C₂³×C₁₃	1	4	yes	—
702	C₄×D₄	C₂³×C₁₃	1	8	yes	—
703	C₄×D₄	C₂³×C₁₃	1	16	yes	—
704	C₄×D₄	C₂³×C₁₃	1	16	yes	—
705	C₄×D₄	C₂³×C₁₃	1	16	yes	—
706	C₄×D₄	C₂³×C₁₃	1	4	yes	—
707	C₄×D₄	C₂³×C₁₃	1	16	yes	—
708	C₄×D₄	C₂³×C₁₃	1	16	yes	—
709	#117	C₂³×C₁₃	1	2	yes	—
710	#117	C₂³×C₁₃	1	2	yes	—
711	#117	C₂³×C₁₃	1	4	yes	—
712	#117	C₂³×C₁₃	1	2	yes	—
713	#117	C₂³×C₁₃	1	4	yes	—
714	#117	C₂³×C₁₃	1	8	yes	—
715	#117	C₂³×C₁₃	1	8	yes	—
716	#117	C₂³×C₁₃	1	16	yes	—
717	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
718	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
719	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
720	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
721	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
722	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
723	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
724	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
725	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
726	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
727	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
728	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
729	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
730	C₂×C₁₃	—	2	2	no	—
731	C₂×C₁₃	—	4	2	no	—
732	C₂×C₁₃	—	4	8	no	—
733	C₂×C₁₃	—	4	8	no	—
734	C₂×C₁₃	—	4	4	no	—
735	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
736	C₂×C₁₃	H(7,𝔽₂)	1	2	yes	—
737	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
738	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
739	C₂⁴	C₂⁴×C₁₃	1	16	yes	—
740	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
741	#41	—	2	16	no	—
742	#41	—	2	8	no	—
743	#41	—	4	8	no	—
744	#41	—	4	8	no	—
745	#41	—	4	8	no	—
746	#41	—	4	16	no	—
747	#41	—	4	16	no	—
748	#41	—	8	8	no	—
749	C₂×Q₈	—	4	4	no	—
750	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
751	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
752	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
753	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
754	C₂×D₄	—	2	8	no	—
755	C₂×D₄	—	4	4	no	—
756	C₂×D₄	—	4	16	no	—
757	C₂×D₄	—	4	16	no	—
758	C₂×D₄	—	4	8	no	—
759	C₂×D₄	—	4	32	no	—
760	C₂×D₄	—	8	4	no	—
761	C₂×D₄	—	8	8	no	—
762	C₂×D₄	—	8	4	no	—
763	C₂×D₄	—	8	16	no	—
764	C₂×D₄	—	8	16	no	—
765	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
766	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
767	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
768	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
769	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
770	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
771	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
772	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
773	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
774	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
775	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
776	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
777	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
778	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
779	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
780	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
781	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
782	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
783	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
784	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
785	C₂²×C₄	—	2	4	no	—
786	C₂²×C₄	—	4	8	no	—
787	C₂²×C₄	—	8	4	no	—
788	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
789	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
790	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
791	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
792	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
793	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
794	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
795	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
796	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
797	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
798	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
799	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
800	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
801	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
802	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
803	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
804	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
805	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
806	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
807	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
808	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
809	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
810	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
811	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
812	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
813	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
814	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
815	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
816	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
817	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
818	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
819	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
820	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
821	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
822	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
823	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
824	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
825	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
826	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
827	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
828	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
829	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
830	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
831	C₂²⋊C₄	C₂⁴×C₁₃	1	8	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	8	yes	—
837	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
838	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
839	C₄²	C₂⁴×C₁₃	1	2	yes	—
840	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
841	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
842	C₄²	C₂⁴×C₁₃	1	2	yes	—
843	C₄²	C₂⁴×C₁₃	1	2	yes	—
844	C₄²	C₂⁴×C₁₃	1	4	yes	—
845	C₄²	C₂⁴×C₁₃	1	8	yes	—
846	C₄²	C₂⁴×C₁₃	1	16	yes	—
847	C₁₃	#62880	1	1	yes	characteristic, direct product factor, Sylow
848	C₂³	—	2	2	no	—
849	C₂³	—	2	8	no	—
850	C₂³	—	4	4	no	—
851	C₂³	—	4	4	no	—
852	C₂³	—	4	2	no	—
853	C₂³	—	4	4	no	—
854	C₂³	—	4	8	no	—
855	C₂³	—	4	16	no	—
856	C₂³	—	4	16	no	—
857	C₂³	—	4	16	no	—
858	C₂³	C₂⁵×C₁₃	1	4	yes	—
859	C₂³	C₂⁵×C₁₃	1	2	yes	—
860	C₂³	C₂⁵×C₁₃	1	8	yes	—
861	C₂³	C₂⁵×C₁₃	1	8	yes	—
862	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
863	Q₈	—	2	8	no	—
864	Q₈	—	2	4	no	—
865	Q₈	—	4	4	no	—
866	Q₈	—	4	4	no	—
867	D₄	—	2	8	no	—
868	D₄	—	2	16	no	—
869	D₄	—	2	8	no	—
870	D₄	—	2	8	no	—
871	D₄	—	2	4	no	—
872	D₄	—	2	8	no	—
873	D₄	—	4	16	no	—
874	D₄	—	4	16	no	—
875	D₄	—	4	4	no	—
876	D₄	—	4	8	no	—
877	D₄	—	4	4	no	—
878	D₄	—	4	16	no	—
879	D₄	—	4	4	no	—
880	D₄	—	4	16	no	—
881	D₄	—	4	16	no	—
882	D₄	—	4	8	no	—
883	D₄	—	4	8	no	—
884	D₄	—	4	16	no	—
885	D₄	—	4	16	no	—
886	D₄	—	4	4	no	—
887	C₂×C₄	—	2	2	no	—
888	C₂×C₄	—	2	4	no	—
889	C₂×C₄	—	2	4	no	—
890	C₂×C₄	—	2	16	no	—
891	C₂×C₄	—	2	8	no	—
892	C₂×C₄	—	4	4	no	—
893	C₂×C₄	—	4	8	no	—
894	C₂×C₄	—	4	2	no	—
895	C₂×C₄	—	4	4	no	—
896	C₂×C₄	—	4	8	no	—
897	C₂×C₄	—	4	8	no	—
898	C₂×C₄	—	4	16	no	—
899	C₂×C₄	—	4	2	no	—
900	C₂×C₄	—	4	8	no	—
901	C₂×C₄	—	4	16	no	—
902	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
903	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
904	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
905	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
906	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
907	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
908	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
909	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
910	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
911	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
912	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
913	C₂²	—	2	2	no	—
914	C₂²	—	2	2	no	—
915	C₂²	—	2	8	no	—
916	C₂²	—	2	4	no	—
917	C₂²	—	2	8	no	—
918	C₂²	—	2	8	no	—
919	C₂²	—	2	8	no	—
920	C₂²	—	2	8	no	—
921	C₂²	—	2	4	no	—
922	C₂²	—	2	8	no	—
923	C₂²	—	2	8	no	—
924	C₂²	—	8	2	no	—
925	C₂²	—	8	8	no	—
926	C₂²	—	8	8	no	—
927	C₂²	—	16	16	no	—
928	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
929	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
930	C₄	—	2	2	no	—
931	C₄	—	2	4	no	—
932	C₄	—	2	8	no	—
933	C₄	—	2	2	no	—
934	C₄	—	2	8	no	—
935	C₄	—	2	2	no	—
936	C₄	—	2	4	no	—
937	C₄	—	2	8	no	—
938	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
939	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
940	C₂	—	2	2	no	—
941	C₂	—	4	2	no	—
942	C₂	—	4	8	no	—
943	C₂	—	4	8	no	—
944	C₂	—	4	4	no	—
945	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
946	C₂	C₁₃×H(7,𝔽₂)	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×#3543	C₂	semidirect
3. C₁₃×#3542	C₂	semidirect
4. C₁₃×#3539	C₂	semidirect
5. C₁₃×#3537	C₂	semidirect
6. C₁₃×#3537	C₂	semidirect
7. C₁₃×#3534	C₂	semidirect
8. C₁₃×#3512	C₂	semidirect
9. C₁₃×#3506	C₂	semidirect
10. C₁₃×#3498	C₂	semidirect
11. C₁₃×#3496	C₂	semidirect
12. C₁₃×#3488	C₂	semidirect
13. C₁₃×#3455	C₂	semidirect
14. C₂×C₁₃×#540	C₂	semidirect
15. C₁₃×#3449	C₂	semidirect
16. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
17. C₂²×C₁₃×#41	C₂²	semidirect
18. C₁₃×#562	C₂²	semidirect
19. C₁₃×#560	C₂²	semidirect
20. C₁₃×#560	C₂²	semidirect
21. C₁₃×#560	C₂²	semidirect
22. C₁₃×#559	C₂²	semidirect
23. C₁₃×#556	C₂²	semidirect
24. C₁₃×#555	C₂²	semidirect
25. C₁₃×#553	C₂²	semidirect
26. C₁₃×#553	C₂²	semidirect
27. C₁₃×#553	C₂²	semidirect
28. C₁₃×#553	C₂²	semidirect
29. C₁₃×#552	C₂²	semidirect
30. C₁₃×#551	C₂²	semidirect
31. C₁₃×#550	C₂²	semidirect
32. C₁₃×#550	C₂²	semidirect
33. C₁₃×#550	C₂²	semidirect
34. C₁₃×#548	C₂²	semidirect
35. C₁₃×#547	C₂²	semidirect
36. C₁₃×#547	C₂²	semidirect
37. C₁₃×#547	C₂²	semidirect
38. C₁₃×#546	C₂²	semidirect
39. C₁₃×#546	C₂²	semidirect
40. C₁₃×#546	C₂²	semidirect
41. C₁₃×#546	C₂²	semidirect
42. C₁₃×#546	C₂²	semidirect
43. D₄²×C₁₃	C₂²	semidirect
44. D₄²×C₁₃	C₂²	semidirect
45. D₄²×C₁₃	C₂²	semidirect
46. D₄²×C₁₃	C₂²	semidirect
47. D₄²×C₁₃	C₂²	semidirect
48. D₄²×C₁₃	C₂²	semidirect
49. D₄²×C₁₃	C₂²	semidirect
50. C₁₃×#542	C₂²	semidirect
51. C₁₃×#541	C₂²	semidirect
52. C₁₃×#541	C₂²	semidirect
53. C₁₃×#540	C₂²	semidirect
54. C₁₃×#540	C₂²	semidirect
55. C₁₃×#540	C₂²	semidirect
56. C₁₃×#540	C₂²	semidirect
57. C₁₃×#540	C₂²	semidirect
58. C₁₃×#540	C₂²	semidirect
59. C₁₃×#540	C₂²	semidirect
60. C₁₃×#539	C₂²	semidirect
61. C₁₃×#539	C₂²	semidirect
62. C₁₃×#538	C₂²	semidirect
63. C₁₃×#538	C₂²	semidirect
64. C₁₃×#538	C₂²	semidirect
65. C₁₃×#538	C₂²	semidirect
66. C₁₃×#537	C₂²	semidirect
67. C₁₃×#537	C₂²	semidirect
68. C₁₃×#537	C₂²	semidirect
69. C₁₃×#536	C₂²	semidirect
70. C₁₃×#535	C₂²	semidirect
71. C₁₃×#535	C₂²	semidirect
72. C₁₃×#535	C₂²	semidirect
73. C₁₃×#535	C₂²	semidirect
74. C₁₃×#535	C₂²	semidirect
75. C₁₃×#534	C₂²	semidirect
76. C₁₃×#534	C₂²	semidirect
77. C₁₃×#534	C₂²	semidirect
78. C₁₃×#534	C₂²	semidirect
79. C₁₃×#533	C₂²	semidirect
80. C₁₃×#532	C₂²	semidirect
81. C₁₃×#532	C₂²	semidirect
82. C₁₃×#532	C₂²	semidirect
83. C₁₃×#532	C₂²	semidirect
84. C₂×C₁₃×#127	C₂²	semidirect
85. C₂×C₁₃×#127	C₂²	semidirect
86. C₁₃×#529	C₂²	semidirect
87. C₁₃×#529	C₂²	semidirect
88. C₂×C₁₃×#125	C₂²	semidirect
89. C₁₃×#525	C₂²	semidirect
90. C₁₃×#525	C₂²	semidirect
91. C₁₃×#525	C₂²	semidirect
92. C₁₃×#525	C₂²	semidirect
93. C₁₃×#525	C₂²	semidirect
94. C₂×C₁₃×#123	C₂²	semidirect
95. C₂×C₁₃×#121	C₂²	semidirect
96. C₂×C₁₃×#121	C₂²	semidirect
97. C₂×C₁₃×#121	C₂²	semidirect
98. C₂×C₁₃×#121	C₂²	semidirect
99. C₁₃×#520	C₂²	semidirect
100. C₄×C₁₃×#41	C₂²	semidirect
101. C₂×C₄×D₄×C₁₃	C₂²	semidirect
102. C₂×C₁₃×#117	C₂²	semidirect
264. #62880	C₁₃	direct (N × H)
375. #3562	C₂×C₁₃	semidirect
376. #3543	C₂×C₁₃	semidirect
377. #3542	C₂×C₁₃	semidirect
378. #3539	C₂×C₁₃	semidirect
379. #3537	C₂×C₁₃	semidirect
380. #3537	C₂×C₁₃	semidirect
381. #3534	C₂×C₁₃	semidirect
382. #3512	C₂×C₁₃	semidirect
383. #3506	C₂×C₁₃	semidirect
384. #3498	C₂×C₁₃	semidirect
385. #3496	C₂×C₁₃	semidirect
386. #3488	C₂×C₁₃	semidirect
387. #3455	C₂×C₁₃	semidirect
388. C₂×#540	C₂×C₁₃	semidirect
389. #3449	C₂×C₁₃	semidirect
455. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
456. C₂²×#41	C₂²×C₁₃	semidirect
457. #562	C₂²×C₁₃	semidirect
458. #560	C₂²×C₁₃	semidirect
459. #560	C₂²×C₁₃	semidirect
460. #560	C₂²×C₁₃	semidirect
461. #559	C₂²×C₁₃	semidirect
462. #556	C₂²×C₁₃	semidirect
463. #555	C₂²×C₁₃	semidirect
464. #553	C₂²×C₁₃	semidirect
465. #553	C₂²×C₁₃	semidirect
466. #553	C₂²×C₁₃	semidirect
467. #553	C₂²×C₁₃	semidirect
468. #552	C₂²×C₁₃	semidirect
469. #551	C₂²×C₁₃	semidirect
470. #550	C₂²×C₁₃	semidirect
471. #550	C₂²×C₁₃	semidirect
472. #550	C₂²×C₁₃	semidirect
473. #548	C₂²×C₁₃	semidirect
474. #547	C₂²×C₁₃	semidirect
475. #547	C₂²×C₁₃	semidirect
476. #547	C₂²×C₁₃	semidirect
477. #546	C₂²×C₁₃	semidirect
478. #546	C₂²×C₁₃	semidirect
479. #546	C₂²×C₁₃	semidirect
480. #546	C₂²×C₁₃	semidirect
481. #546	C₂²×C₁₃	semidirect
482. D₄²	C₂²×C₁₃	semidirect
483. D₄²	C₂²×C₁₃	semidirect
484. D₄²	C₂²×C₁₃	semidirect
485. D₄²	C₂²×C₁₃	semidirect
486. D₄²	C₂²×C₁₃	semidirect
487. D₄²	C₂²×C₁₃	semidirect
488. D₄²	C₂²×C₁₃	semidirect
489. #542	C₂²×C₁₃	semidirect
490. #541	C₂²×C₁₃	semidirect
491. #541	C₂²×C₁₃	semidirect
492. #540	C₂²×C₁₃	semidirect
493. #540	C₂²×C₁₃	semidirect
494. #540	C₂²×C₁₃	semidirect
495. #540	C₂²×C₁₃	semidirect
496. #540	C₂²×C₁₃	semidirect
497. #540	C₂²×C₁₃	semidirect
498. #540	C₂²×C₁₃	semidirect
499. #539	C₂²×C₁₃	semidirect
500. #539	C₂²×C₁₃	semidirect
501. #538	C₂²×C₁₃	semidirect
502. #538	C₂²×C₁₃	semidirect
503. #538	C₂²×C₁₃	semidirect
504. #538	C₂²×C₁₃	semidirect
505. #537	C₂²×C₁₃	semidirect
506. #537	C₂²×C₁₃	semidirect
507. #537	C₂²×C₁₃	semidirect
508. #536	C₂²×C₁₃	semidirect
509. #535	C₂²×C₁₃	semidirect
510. #535	C₂²×C₁₃	semidirect
511. #535	C₂²×C₁₃	semidirect
512. #535	C₂²×C₁₃	semidirect
513. #535	C₂²×C₁₃	semidirect
514. #534	C₂²×C₁₃	semidirect
515. #534	C₂²×C₁₃	semidirect
516. #534	C₂²×C₁₃	semidirect
517. #534	C₂²×C₁₃	semidirect
518. #533	C₂²×C₁₃	semidirect
519. #532	C₂²×C₁₃	semidirect
520. #532	C₂²×C₁₃	semidirect
521. #532	C₂²×C₁₃	semidirect
522. #532	C₂²×C₁₃	semidirect
523. C₂×#127	C₂²×C₁₃	semidirect
524. C₂×#127	C₂²×C₁₃	semidirect
525. #529	C₂²×C₁₃	semidirect
526. #529	C₂²×C₁₃	semidirect
527. C₂×#125	C₂²×C₁₃	semidirect
528. #525	C₂²×C₁₃	semidirect
529. #525	C₂²×C₁₃	semidirect
530. #525	C₂²×C₁₃	semidirect
531. #525	C₂²×C₁₃	semidirect
532. #525	C₂²×C₁₃	semidirect
533. C₂×#123	C₂²×C₁₃	semidirect
534. C₂×#121	C₂²×C₁₃	semidirect
535. C₂×#121	C₂²×C₁₃	semidirect
536. C₂×#121	C₂²×C₁₃	semidirect
537. C₂×#121	C₂²×C₁₃	semidirect
538. #520	C₂²×C₁₃	semidirect
539. C₄×#41	C₂²×C₁₃	semidirect
540. C₂×C₄×D₄	C₂²×C₁₃	semidirect
541. C₂×#117	C₂²×C₁₃	semidirect
847. C₁₃	#62880	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×#3543	2
C₁₃×#3542	2
C₁₃×#3539	2
C₁₃×#3537	2
C₁₃×#3534	2
C₁₃×#3512	2
C₁₃×#3506	2
C₁₃×#3498	2
C₁₃×#3496	2
C₁₃×#3488	2
C₁₃×#3455	2
C₂×C₁₃×#540	2
C₁₃×#3449	2
#62880	13

Subgroups — C13×#62880 #15749219

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62880 #15749219