Subgroups — C₁₃×#62822 #15749161

Order 3328.

7274 conjugacy classes of subgroups.

The subgroup lattice has 958 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3560	C₂	1	8	yes	maximal, complemented
2	C₁₃×#3559	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3558	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3545	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3544	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3543	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3522	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3519	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3513	C₂	1	8	yes	maximal, complemented
10	C₁₃×#3505	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3496	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3494	C₂	1	8	yes	maximal, complemented
13	C₁₃×#3485	C₂	1	4	yes	maximal, complemented
14	C₂×C₁₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₃×#529	C₂	1	2	yes	maximal, complemented
16	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	4	yes	complemented
17	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
18	C₁₃×#563	C₂²	1	8	yes	complemented
19	C₁₃×#563	C₂²	1	4	yes	complemented
20	C₁₃×#562	C₂²	1	8	yes	complemented
21	C₁₃×H(3,𝔽₄)	C₂²	1	4	yes	complemented
22	C₁₃×#560	C₂²	1	8	yes	complemented
23	C₁₃×#559	C₂²	1	2	yes	complemented
24	C₁₃×#559	C₂²	1	8	yes	complemented
25	Q₈²×C₁₃	C₂²	1	2	yes	complemented
26	C₁₃×#555	C₂²	1	2	yes	complemented
27	C₁₃×#555	C₂²	1	8	yes	complemented
28	C₁₃×#554	C₂²	1	4	yes	complemented
29	C₁₃×#554	C₂²	1	8	yes	complemented
30	C₁₃×#553	C₂²	1	8	yes	complemented
31	C₁₃×#553	C₂²	1	8	yes	complemented
32	C₁₃×#553	C₂²	1	16	yes	complemented
33	C₁₃×#553	C₂²	1	16	yes	complemented
34	C₁₃×#552	C₂²	1	8	yes	complemented
35	C₁₃×#551	C₂²	1	8	yes	complemented
36	C₁₃×#551	C₂²	1	16	yes	complemented
37	C₁₃×#551	C₂²	1	16	yes	complemented
38	C₁₃×#550	C₂²	1	4	yes	complemented
39	C₁₃×#548	C₂²	1	8	yes	complemented
40	C₁₃×#547	C₂²	1	8	yes	complemented
41	C₁₃×#547	C₂²	1	16	yes	complemented
42	C₁₃×#547	C₂²	1	8	yes	complemented
43	C₁₃×#547	C₂²	1	16	yes	complemented
44	C₁₃×#546	C₂²	1	8	yes	complemented
45	C₁₃×#546	C₂²	1	16	yes	complemented
46	C₁₃×#546	C₂²	1	8	yes	complemented
47	C₁₃×#546	C₂²	1	16	yes	complemented
48	C₁₃×#546	C₂²	1	16	yes	complemented
49	C₁₃×#546	C₂²	1	16	yes	complemented
50	D₄²×C₁₃	C₂²	1	2	yes	complemented
51	D₄²×C₁₃	C₂²	1	8	yes	complemented
52	D₄²×C₁₃	C₂²	1	8	yes	complemented
53	C₁₃×#544	C₂²	1	8	yes	complemented
54	C₁₃×#542	C₂²	1	16	yes	complemented
55	C₁₃×#542	C₂²	1	8	yes	complemented
56	C₁₃×#542	C₂²	1	8	yes	complemented
57	C₁₃×#540	C₂²	1	8	yes	complemented
58	C₁₃×#540	C₂²	1	8	yes	complemented
59	C₁₃×#539	C₂²	1	8	yes	complemented
60	C₁₃×#539	C₂²	1	16	yes	complemented
61	C₁₃×#538	C₂²	1	16	yes	complemented
62	C₁₃×#538	C₂²	1	8	yes	complemented
63	C₁₃×#538	C₂²	1	16	yes	complemented
64	C₁₃×#537	C₂²	1	8	yes	complemented
65	C₁₃×#536	C₂²	1	8	yes	complemented
66	C₁₃×#535	C₂²	1	8	yes	complemented
67	C₁₃×#534	C₂²	1	8	yes	complemented
68	C₁₃×#534	C₂²	1	8	yes	complemented
69	C₁₃×#534	C₂²	1	8	yes	complemented
70	C₁₃×#532	C₂²	1	4	yes	complemented
71	C₁₃×#532	C₂²	1	8	yes	complemented
72	C₁₃×#532	C₂²	1	4	yes	complemented
73	C₁₃×#532	C₂²	1	4	yes	complemented
74	C₁₃×#532	C₂²	1	4	yes	complemented
75	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#529	C₂²	1	4	yes	complemented
78	C₁₃×#529	C₂²	1	8	yes	complemented
79	C₁₃×#529	C₂²	1	4	yes	complemented
80	C₁₃×#529	C₂²	1	4	yes	complemented
81	C₁₃×#529	C₂²	1	4	yes	complemented
82	C₁₃×#529	C₂²	1	4	yes	complemented
83	C₁₃×#529	C₂²	1	4	yes	complemented
84	C₁₃×#529	C₂²	1	4	yes	complemented
85	C₁₃×#529	C₂²	1	4	yes	complemented
86	C₂×C₁₃×#126	C₂²	1	4	yes	complemented
87	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
88	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
89	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
90	C₁₃×#525	C₂²	1	8	yes	complemented
91	C₁₃×#525	C₂²	1	8	yes	complemented
92	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
93	C₂×C₁₃×#123	C₂²	1	8	yes	complemented
94	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
95	C₂×C₁₃×#121	C₂²	1	2	yes	—
96	C₂×C₁₃×#121	C₂²	1	8	yes	complemented
97	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
98	C₁₃×#520	C₂²	1	8	yes	complemented
99	C₁₃×#518	C₂²	1	8	yes	complemented
100	C₁₃×#518	C₂²	1	4	yes	complemented
101	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
102	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
103	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
104	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
105	C₂×C₁₃×#117	C₂²	1	4	yes	complemented
106	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×H(5,𝔽₂)	—	4	16	no	—
108	C₂×C₁₃×#41	—	4	8	no	—
109	C₂×C₁₃×#41	C₂³	1	8	yes	—
110	C₂×C₁₃×#41	C₂³	1	8	yes	—
111	C₂×C₁₃×#41	C₂³	1	8	yes	—
112	C₂×C₁₃×#41	C₂³	1	8	yes	—
113	C₂×C₁₃×#41	C₂³	1	16	yes	—
114	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
115	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
116	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
117	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
118	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
119	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
120	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
121	C₂²×D₄×C₁₃	C₂³	1	16	yes	—
122	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
123	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
124	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
125	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
126	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
127	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
128	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
129	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
130	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
131	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
132	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
133	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
134	C₁₃×#127	C₂³	1	4	yes	—
135	C₁₃×#127	C₂³	1	2	yes	—
136	C₁₃×#127	C₂³	1	2	yes	—
137	C₁₃×#127	C₂³	1	8	yes	—
138	C₁₃×#126	C₂³	1	8	yes	—
139	C₁₃×#126	C₂³	1	8	yes	—
140	C₁₃×#126	C₂³	1	8	yes	—
141	C₁₃×#126	C₂³	1	8	yes	—
142	C₁₃×#126	C₂³	1	16	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	4	yes	—
148	C₁₃×#125	C₂³	1	4	yes	—
149	C₁₃×#125	C₂³	1	8	yes	—
150	C₁₃×#125	C₂³	1	16	yes	—
151	C₁₃×#124	C₂³	1	4	yes	—
152	C₁₃×#124	C₂³	1	4	yes	—
153	C₁₃×#124	C₂³	1	4	yes	—
154	C₁₃×#124	C₂³	1	4	yes	—
155	C₁₃×#124	C₂³	1	8	yes	—
156	C₁₃×#124	C₂³	1	4	yes	—
157	C₁₃×#124	C₂³	1	4	yes	—
158	C₁₃×#124	C₂³	1	8	yes	—
159	C₁₃×#124	C₂³	1	16	yes	—
160	C₁₃×#124	C₂³	1	8	yes	—
161	C₁₃×#124	C₂³	1	8	yes	—
162	C₁₃×#124	C₂³	1	16	yes	—
163	C₁₃×#123	C₂³	1	8	yes	—
164	C₁₃×#123	C₂³	1	8	yes	—
165	C₁₃×#123	C₂³	1	8	yes	—
166	C₁₃×#123	C₂³	1	8	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×#123	C₂³	1	16	yes	—
172	C₁₃×#123	C₂³	1	16	yes	—
173	C₁₃×#123	C₂³	1	16	yes	—
174	C₁₃×#123	C₂³	1	8	yes	—
175	C₁₃×#123	C₂³	1	8	yes	—
176	C₁₃×#123	C₂³	1	16	yes	—
177	C₁₃×#123	C₂³	1	16	yes	—
178	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
179	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
180	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
181	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
182	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
183	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
184	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
185	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
186	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
187	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
188	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
189	C₁₃×#121	C₂³	1	4	yes	—
190	C₁₃×#121	C₂³	1	4	yes	—
191	C₁₃×#121	C₂³	1	4	yes	—
192	C₁₃×#121	C₂³	1	4	yes	—
193	C₁₃×#121	C₂³	1	8	yes	—
194	C₁₃×#121	C₂³	1	8	yes	—
195	C₁₃×#121	C₂³	1	8	yes	—
196	C₁₃×#121	C₂³	1	8	yes	—
197	C₁₃×#121	C₂³	1	16	yes	—
198	C₁₃×#121	C₂³	1	16	yes	—
199	C₁₃×#121	C₂³	1	8	yes	—
200	C₁₃×#121	C₂³	1	8	yes	—
201	C₁₃×#121	C₂³	1	16	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×#120	C₂³	1	16	yes	—
210	C₁₃×#120	C₂³	1	16	yes	—
211	C₁₃×#120	C₂³	1	8	yes	—
212	C₁₃×#120	C₂³	1	16	yes	—
213	C₁₃×#120	C₂³	1	8	yes	—
214	C₁₃×#120	C₂³	1	16	yes	—
215	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
216	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
217	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
218	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
219	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
220	C₄×D₄×C₁₃	C₂³	1	4	yes	—
221	C₄×D₄×C₁₃	C₂³	1	8	yes	—
222	C₄×D₄×C₁₃	C₂³	1	4	yes	—
223	C₄×D₄×C₁₃	C₂³	1	8	yes	—
224	C₄×D₄×C₁₃	C₂³	1	8	yes	—
225	C₄×D₄×C₁₃	C₂³	1	4	yes	—
226	C₄×D₄×C₁₃	C₂³	1	8	yes	—
227	C₄×D₄×C₁₃	C₂³	1	4	yes	—
228	C₄×D₄×C₁₃	C₂³	1	8	yes	—
229	C₄×D₄×C₁₃	C₂³	1	8	yes	—
230	C₄×D₄×C₁₃	C₂³	1	8	yes	—
231	C₄×D₄×C₁₃	C₂³	1	8	yes	—
232	C₄×D₄×C₁₃	C₂³	1	16	yes	—
233	C₄×D₄×C₁₃	C₂³	1	16	yes	—
234	C₄×D₄×C₁₃	C₂³	1	16	yes	—
235	C₄×D₄×C₁₃	C₂³	1	16	yes	—
236	C₄×D₄×C₁₃	C₂³	1	8	yes	—
237	C₄×D₄×C₁₃	C₂³	1	8	yes	—
238	C₄×D₄×C₁₃	C₂³	1	16	yes	—
239	C₄×D₄×C₁₃	C₂³	1	8	yes	—
240	C₄×D₄×C₁₃	C₂³	1	16	yes	—
241	C₁₃×#117	C₂³	1	8	yes	—
242	C₁₃×#117	C₂³	1	8	yes	—
243	C₁₃×#117	C₂³	1	8	yes	—
244	C₁₃×#117	C₂³	1	8	yes	—
245	C₁₃×#117	C₂³	1	8	yes	—
246	C₁₃×#117	C₂³	1	8	yes	—
247	C₁₃×#117	C₂³	1	16	yes	—
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
252	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	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	4	yes	—
260	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
261	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
262	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
263	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
264	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
265	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
266	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
267	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
268	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
271	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
272	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
274	#62822	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
275	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
276	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
277	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
278	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
279	C₁₃×#41	—	4	16	no	—
280	C₁₃×#41	—	4	16	no	—
281	C₁₃×#41	—	4	16	no	—
282	C₁₃×#41	—	4	32	no	—
283	C₁₃×#41	—	4	16	no	—
284	C₂×Q₈×C₁₃	—	4	4	no	—
285	C₂×Q₈×C₁₃	—	4	4	no	—
286	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
287	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
288	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
289	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
290	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
291	C₂×D₄×C₁₃	—	2	16	no	—
292	C₂×D₄×C₁₃	—	2	16	no	—
293	C₂×D₄×C₁₃	—	4	8	no	—
294	C₂×D₄×C₁₃	—	4	4	no	—
295	C₂×D₄×C₁₃	—	4	16	no	—
296	C₂×D₄×C₁₃	—	4	4	no	—
297	C₂×D₄×C₁₃	—	4	16	no	—
298	C₂×D₄×C₁₃	—	4	32	no	—
299	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
300	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
301	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
302	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
303	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
304	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
305	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
306	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
307	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
308	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
309	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
310	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
311	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
312	C₂²×C₄×C₁₃	—	2	4	no	—
313	C₂²×C₄×C₁₃	—	4	4	no	—
314	C₂²×C₄×C₁₃	—	4	8	no	—
315	C₂²×C₄×C₁₃	—	4	8	no	—
316	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
318	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
324	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
325	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
326	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
327	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
330	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
331	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
332	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
333	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
334	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
335	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
336	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
337	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
338	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
339	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
340	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
341	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
342	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
343	C₁₃×C₄⋊C₄	C₂⁴	1	8	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×C₄⋊C₄	C₂⁴	1	4	yes	—
349	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
350	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
351	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
352	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
353	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
354	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
355	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
356	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
357	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
358	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
359	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
360	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
361	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
362	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
363	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
364	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
365	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
366	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
367	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
368	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
369	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
370	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
371	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₄²×C₁₃	C₂⁴	1	2	yes	—
373	C₄²×C₁₃	C₂⁴	1	2	yes	—
374	C₄²×C₁₃	C₂⁴	1	2	yes	—
375	C₄²×C₁₃	C₂⁴	1	2	yes	—
376	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₄²×C₁₃	C₂⁴	1	2	yes	—
378	C₄²×C₁₃	C₂⁴	1	2	yes	—
379	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₄²×C₁₃	C₂⁴	1	8	yes	—
382	C₄²×C₁₃	C₂⁴	1	8	yes	—
383	C₄²×C₁₃	C₂⁴	1	8	yes	—
384	C₄²×C₁₃	C₂⁴	1	8	yes	—
385	#3560	C₂×C₁₃	1	8	yes	complemented
386	#3559	C₂×C₁₃	1	4	yes	complemented
387	#3558	C₂×C₁₃	1	4	yes	complemented
388	#3545	C₂×C₁₃	1	4	yes	complemented
389	#3544	C₂×C₁₃	1	2	yes	complemented
390	#3543	C₂×C₁₃	1	2	yes	complemented
391	#3522	C₂×C₁₃	1	4	yes	complemented
392	#3519	C₂×C₁₃	1	4	yes	complemented
393	#3513	C₂×C₁₃	1	8	yes	complemented
394	#3505	C₂×C₁₃	1	4	yes	complemented
395	#3496	C₂×C₁₃	1	4	yes	complemented
396	#3494	C₂×C₁₃	1	8	yes	complemented
397	#3485	C₂×C₁₃	1	4	yes	complemented
398	C₂×#532	C₂×C₁₃	1	1	yes	characteristic, complemented
399	C₂×#529	C₂×C₁₃	1	2	yes	complemented
400	C₂³×C₁₃	—	2	8	no	—
401	C₂³×C₁₃	—	2	8	no	—
402	C₂³×C₁₃	—	4	2	no	—
403	C₂³×C₁₃	—	4	4	no	—
404	C₂³×C₁₃	—	4	4	no	—
405	C₂³×C₁₃	—	4	8	no	—
406	C₂³×C₁₃	—	4	8	no	—
407	C₂³×C₁₃	—	4	16	no	—
408	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
409	C₂³×C₁₃	C₂⁵	1	8	yes	—
410	C₂³×C₁₃	C₂⁵	1	8	yes	—
411	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
412	C₂³×C₁₃	C₂⁵	1	2	yes	—
413	Q₈×C₁₃	—	2	8	no	—
414	Q₈×C₁₃	—	4	4	no	—
415	Q₈×C₁₃	—	4	4	no	—
416	Q₈×C₁₃	—	4	4	no	—
417	Q₈×C₁₃	—	4	8	no	—
418	D₄×C₁₃	—	2	16	no	—
419	D₄×C₁₃	—	2	16	no	—
420	D₄×C₁₃	—	2	32	no	—
421	D₄×C₁₃	—	2	8	no	—
422	D₄×C₁₃	—	2	16	no	—
423	D₄×C₁₃	—	4	16	no	—
424	D₄×C₁₃	—	4	8	no	—
425	D₄×C₁₃	—	4	16	no	—
426	D₄×C₁₃	—	4	8	no	—
427	D₄×C₁₃	—	4	4	no	—
428	D₄×C₁₃	—	4	4	no	—
429	D₄×C₁₃	—	4	4	no	—
430	D₄×C₁₃	—	4	16	no	—
431	C₂×C₄×C₁₃	—	2	2	no	—
432	C₂×C₄×C₁₃	—	2	2	no	—
433	C₂×C₄×C₁₃	—	2	4	no	—
434	C₂×C₄×C₁₃	—	2	4	no	—
435	C₂×C₄×C₁₃	—	2	8	no	—
436	C₂×C₄×C₁₃	—	2	8	no	—
437	C₂×C₄×C₁₃	—	2	4	no	—
438	C₂×C₄×C₁₃	—	2	4	no	—
439	C₂×C₄×C₁₃	—	2	4	no	—
440	C₂×C₄×C₁₃	—	2	16	no	—
441	C₂×C₄×C₁₃	—	4	8	no	—
442	C₂×C₄×C₁₃	—	4	2	no	—
443	C₂×C₄×C₁₃	—	4	2	no	—
444	C₂×C₄×C₁₃	—	4	4	no	—
445	C₂×C₄×C₁₃	—	4	2	no	—
446	C₂×C₄×C₁₃	—	4	16	no	—
447	C₂×C₄×C₁₃	—	4	8	no	—
448	C₂×C₄×C₁₃	—	4	16	no	—
449	C₂×C₄×C₁₃	—	4	4	no	—
450	C₂×C₄×C₁₃	—	4	16	no	—
451	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
452	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
453	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
454	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
455	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
456	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
457	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
458	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
459	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
460	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
461	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
462	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	4	yes	complemented
463	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
464	#563	C₂²×C₁₃	1	8	yes	complemented
465	#563	C₂²×C₁₃	1	4	yes	complemented
466	#562	C₂²×C₁₃	1	8	yes	complemented
467	H(3,𝔽₄)	C₂²×C₁₃	1	4	yes	complemented
468	#560	C₂²×C₁₃	1	8	yes	complemented
469	#559	C₂²×C₁₃	1	8	yes	complemented
470	#559	C₂²×C₁₃	1	2	yes	complemented
471	Q₈²	C₂²×C₁₃	1	2	yes	complemented
472	#555	C₂²×C₁₃	1	8	yes	complemented
473	#555	C₂²×C₁₃	1	2	yes	complemented
474	#554	C₂²×C₁₃	1	8	yes	complemented
475	#554	C₂²×C₁₃	1	4	yes	complemented
476	#553	C₂²×C₁₃	1	16	yes	complemented
477	#553	C₂²×C₁₃	1	16	yes	complemented
478	#553	C₂²×C₁₃	1	8	yes	complemented
479	#553	C₂²×C₁₃	1	8	yes	complemented
480	#552	C₂²×C₁₃	1	8	yes	complemented
481	#551	C₂²×C₁₃	1	8	yes	complemented
482	#551	C₂²×C₁₃	1	16	yes	complemented
483	#551	C₂²×C₁₃	1	16	yes	complemented
484	#550	C₂²×C₁₃	1	4	yes	complemented
485	#548	C₂²×C₁₃	1	8	yes	complemented
486	#547	C₂²×C₁₃	1	16	yes	complemented
487	#547	C₂²×C₁₃	1	16	yes	complemented
488	#547	C₂²×C₁₃	1	8	yes	complemented
489	#547	C₂²×C₁₃	1	8	yes	complemented
490	#546	C₂²×C₁₃	1	16	yes	complemented
491	#546	C₂²×C₁₃	1	16	yes	complemented
492	#546	C₂²×C₁₃	1	16	yes	complemented
493	#546	C₂²×C₁₃	1	16	yes	complemented
494	#546	C₂²×C₁₃	1	8	yes	complemented
495	#546	C₂²×C₁₃	1	8	yes	complemented
496	D₄²	C₂²×C₁₃	1	8	yes	complemented
497	D₄²	C₂²×C₁₃	1	8	yes	complemented
498	D₄²	C₂²×C₁₃	1	2	yes	complemented
499	#544	C₂²×C₁₃	1	8	yes	complemented
500	#542	C₂²×C₁₃	1	8	yes	complemented
501	#542	C₂²×C₁₃	1	8	yes	complemented
502	#542	C₂²×C₁₃	1	16	yes	complemented
503	#540	C₂²×C₁₃	1	8	yes	complemented
504	#540	C₂²×C₁₃	1	8	yes	complemented
505	#539	C₂²×C₁₃	1	8	yes	complemented
506	#539	C₂²×C₁₃	1	16	yes	complemented
507	#538	C₂²×C₁₃	1	8	yes	complemented
508	#538	C₂²×C₁₃	1	16	yes	complemented
509	#538	C₂²×C₁₃	1	16	yes	complemented
510	#537	C₂²×C₁₃	1	8	yes	complemented
511	#536	C₂²×C₁₃	1	8	yes	complemented
512	#535	C₂²×C₁₃	1	8	yes	complemented
513	#534	C₂²×C₁₃	1	8	yes	complemented
514	#534	C₂²×C₁₃	1	8	yes	complemented
515	#534	C₂²×C₁₃	1	8	yes	complemented
516	#532	C₂²×C₁₃	1	4	yes	complemented
517	#532	C₂²×C₁₃	1	4	yes	complemented
518	#532	C₂²×C₁₃	1	4	yes	complemented
519	#532	C₂²×C₁₃	1	4	yes	complemented
520	#532	C₂²×C₁₃	1	8	yes	complemented
521	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
522	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
523	#529	C₂²×C₁₃	1	4	yes	complemented
524	#529	C₂²×C₁₃	1	4	yes	complemented
525	#529	C₂²×C₁₃	1	4	yes	complemented
526	#529	C₂²×C₁₃	1	4	yes	complemented
527	#529	C₂²×C₁₃	1	4	yes	complemented
528	#529	C₂²×C₁₃	1	4	yes	complemented
529	#529	C₂²×C₁₃	1	4	yes	complemented
530	#529	C₂²×C₁₃	1	4	yes	complemented
531	#529	C₂²×C₁₃	1	8	yes	complemented
532	C₂×#126	C₂²×C₁₃	1	4	yes	complemented
533	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
534	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
535	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
536	#525	C₂²×C₁₃	1	8	yes	complemented
537	#525	C₂²×C₁₃	1	8	yes	complemented
538	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
539	C₂×#123	C₂²×C₁₃	1	8	yes	complemented
540	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
541	C₂×#121	C₂²×C₁₃	1	2	yes	—
542	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
543	C₂×#121	C₂²×C₁₃	1	8	yes	complemented
544	#520	C₂²×C₁₃	1	8	yes	complemented
545	#518	C₂²×C₁₃	1	4	yes	complemented
546	#518	C₂²×C₁₃	1	8	yes	complemented
547	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
548	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
549	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
550	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
551	C₂×#117	C₂²×C₁₃	1	4	yes	complemented
552	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
553	C₂²×C₁₃	—	2	2	no	—
554	C₂²×C₁₃	—	2	2	no	—
555	C₂²×C₁₃	—	2	2	no	—
556	C₂²×C₁₃	—	2	8	no	—
557	C₂²×C₁₃	—	2	8	no	—
558	C₂²×C₁₃	—	2	8	no	—
559	C₂²×C₁₃	—	2	16	no	—
560	C₂²×C₁₃	—	2	8	no	—
561	C₂²×C₁₃	—	4	4	no	—
562	C₂²×C₁₃	—	8	8	no	—
563	C₂²×C₁₃	—	8	8	no	—
564	C₂²×C₁₃	—	16	8	no	—
565	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
566	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
567	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
568	C₄×C₁₃	—	2	2	no	—
569	C₄×C₁₃	—	2	1	no	—
570	C₄×C₁₃	—	2	1	no	—
571	C₄×C₁₃	—	2	8	no	—
572	C₄×C₁₃	—	2	8	no	—
573	C₄×C₁₃	—	2	2	no	—
574	C₄×C₁₃	—	2	8	no	—
575	C₄×C₁₃	—	2	2	no	—
576	C₄×C₁₃	—	2	2	no	—
577	C₄×C₁₃	—	2	8	no	—
578	C₄×C₁₃	#585	1	4	yes	—
579	H(5,𝔽₂)	—	4	16	no	—
580	C₂×#41	—	4	8	no	—
581	C₂×#41	C₂³×C₁₃	1	8	yes	—
582	C₂×#41	C₂³×C₁₃	1	8	yes	—
583	C₂×#41	C₂³×C₁₃	1	8	yes	—
584	C₂×#41	C₂³×C₁₃	1	8	yes	—
585	C₂×#41	C₂³×C₁₃	1	16	yes	—
586	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
587	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
588	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
589	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
590	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
591	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
592	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
593	C₂²×D₄	C₂³×C₁₃	1	16	yes	—
594	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
595	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
596	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
597	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
598	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
599	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
600	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
601	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
602	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
603	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
604	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
605	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
606	#127	C₂³×C₁₃	1	4	yes	—
607	#127	C₂³×C₁₃	1	2	yes	—
608	#127	C₂³×C₁₃	1	2	yes	—
609	#127	C₂³×C₁₃	1	8	yes	—
610	#126	C₂³×C₁₃	1	8	yes	—
611	#126	C₂³×C₁₃	1	8	yes	—
612	#126	C₂³×C₁₃	1	8	yes	—
613	#126	C₂³×C₁₃	1	8	yes	—
614	#126	C₂³×C₁₃	1	16	yes	—
615	#126	C₂³×C₁₃	1	16	yes	—
616	#126	C₂³×C₁₃	1	16	yes	—
617	#125	C₂³×C₁₃	1	4	yes	—
618	#125	C₂³×C₁₃	1	4	yes	—
619	#125	C₂³×C₁₃	1	4	yes	—
620	#125	C₂³×C₁₃	1	4	yes	—
621	#125	C₂³×C₁₃	1	8	yes	—
622	#125	C₂³×C₁₃	1	16	yes	—
623	#124	C₂³×C₁₃	1	4	yes	—
624	#124	C₂³×C₁₃	1	4	yes	—
625	#124	C₂³×C₁₃	1	4	yes	—
626	#124	C₂³×C₁₃	1	4	yes	—
627	#124	C₂³×C₁₃	1	8	yes	—
628	#124	C₂³×C₁₃	1	4	yes	—
629	#124	C₂³×C₁₃	1	4	yes	—
630	#124	C₂³×C₁₃	1	8	yes	—
631	#124	C₂³×C₁₃	1	16	yes	—
632	#124	C₂³×C₁₃	1	8	yes	—
633	#124	C₂³×C₁₃	1	8	yes	—
634	#124	C₂³×C₁₃	1	16	yes	—
635	#123	C₂³×C₁₃	1	8	yes	—
636	#123	C₂³×C₁₃	1	8	yes	—
637	#123	C₂³×C₁₃	1	8	yes	—
638	#123	C₂³×C₁₃	1	8	yes	—
639	#123	C₂³×C₁₃	1	16	yes	—
640	#123	C₂³×C₁₃	1	16	yes	—
641	#123	C₂³×C₁₃	1	16	yes	—
642	#123	C₂³×C₁₃	1	16	yes	—
643	#123	C₂³×C₁₃	1	16	yes	—
644	#123	C₂³×C₁₃	1	16	yes	—
645	#123	C₂³×C₁₃	1	16	yes	—
646	#123	C₂³×C₁₃	1	8	yes	—
647	#123	C₂³×C₁₃	1	8	yes	—
648	#123	C₂³×C₁₃	1	16	yes	—
649	#123	C₂³×C₁₃	1	16	yes	—
650	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
651	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
652	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
653	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
654	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
655	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
656	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
657	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
658	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
659	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
660	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
661	#121	C₂³×C₁₃	1	4	yes	—
662	#121	C₂³×C₁₃	1	4	yes	—
663	#121	C₂³×C₁₃	1	4	yes	—
664	#121	C₂³×C₁₃	1	4	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	8	yes	—
672	#121	C₂³×C₁₃	1	8	yes	—
673	#121	C₂³×C₁₃	1	16	yes	—
674	#121	C₂³×C₁₃	1	8	yes	—
675	#121	C₂³×C₁₃	1	16	yes	—
676	#121	C₂³×C₁₃	1	16	yes	—
677	#121	C₂³×C₁₃	1	16	yes	—
678	#121	C₂³×C₁₃	1	16	yes	—
679	#121	C₂³×C₁₃	1	16	yes	—
680	#121	C₂³×C₁₃	1	16	yes	—
681	#120	C₂³×C₁₃	1	16	yes	—
682	#120	C₂³×C₁₃	1	16	yes	—
683	#120	C₂³×C₁₃	1	8	yes	—
684	#120	C₂³×C₁₃	1	16	yes	—
685	#120	C₂³×C₁₃	1	8	yes	—
686	#120	C₂³×C₁₃	1	16	yes	—
687	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
688	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
689	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
690	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
691	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
692	C₄×D₄	C₂³×C₁₃	1	4	yes	—
693	C₄×D₄	C₂³×C₁₃	1	8	yes	—
694	C₄×D₄	C₂³×C₁₃	1	4	yes	—
695	C₄×D₄	C₂³×C₁₃	1	8	yes	—
696	C₄×D₄	C₂³×C₁₃	1	8	yes	—
697	C₄×D₄	C₂³×C₁₃	1	4	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	8	yes	—
702	C₄×D₄	C₂³×C₁₃	1	8	yes	—
703	C₄×D₄	C₂³×C₁₃	1	8	yes	—
704	C₄×D₄	C₂³×C₁₃	1	16	yes	—
705	C₄×D₄	C₂³×C₁₃	1	16	yes	—
706	C₄×D₄	C₂³×C₁₃	1	16	yes	—
707	C₄×D₄	C₂³×C₁₃	1	16	yes	—
708	C₄×D₄	C₂³×C₁₃	1	8	yes	—
709	C₄×D₄	C₂³×C₁₃	1	8	yes	—
710	C₄×D₄	C₂³×C₁₃	1	16	yes	—
711	C₄×D₄	C₂³×C₁₃	1	8	yes	—
712	C₄×D₄	C₂³×C₁₃	1	16	yes	—
713	#117	C₂³×C₁₃	1	8	yes	—
714	#117	C₂³×C₁₃	1	8	yes	—
715	#117	C₂³×C₁₃	1	8	yes	—
716	#117	C₂³×C₁₃	1	8	yes	—
717	#117	C₂³×C₁₃	1	8	yes	—
718	#117	C₂³×C₁₃	1	8	yes	—
719	#117	C₂³×C₁₃	1	16	yes	—
720	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
721	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
722	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
723	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
724	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
725	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
726	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
727	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
728	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	—
729	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
730	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
731	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
732	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
733	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
734	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
735	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
736	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
737	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
738	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
739	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
740	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
741	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
742	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
743	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
744	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
745	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
746	C₂×C₁₃	—	2	2	no	—
747	C₂×C₁₃	—	2	4	no	—
748	C₂×C₁₃	—	4	8	no	—
749	C₂×C₁₃	—	4	8	no	—
750	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
751	C₂×C₁₃	C₂×#585	1	2	yes	—
752	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
753	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
754	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
755	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
756	#41	—	4	16	no	—
757	#41	—	4	16	no	—
758	#41	—	4	16	no	—
759	#41	—	4	32	no	—
760	#41	—	4	16	no	—
761	C₂×Q₈	—	4	4	no	—
762	C₂×Q₈	—	4	4	no	—
763	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
764	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
765	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
766	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
767	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
768	C₂×D₄	—	2	16	no	—
769	C₂×D₄	—	2	16	no	—
770	C₂×D₄	—	4	8	no	—
771	C₂×D₄	—	4	4	no	—
772	C₂×D₄	—	4	16	no	—
773	C₂×D₄	—	4	4	no	—
774	C₂×D₄	—	4	16	no	—
775	C₂×D₄	—	4	32	no	—
776	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
777	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
778	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
779	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
780	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
781	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
782	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
783	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
784	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
785	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
786	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
787	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
788	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
789	C₂²×C₄	—	2	4	no	—
790	C₂²×C₄	—	4	4	no	—
791	C₂²×C₄	—	4	8	no	—
792	C₂²×C₄	—	4	8	no	—
793	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
794	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
795	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
796	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
797	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
798	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
799	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
800	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
801	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
802	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
803	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
804	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
805	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
806	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
807	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
808	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
809	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
810	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
811	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
812	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
813	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
814	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
815	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
816	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
817	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
818	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
819	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
820	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
821	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
822	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
823	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
824	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
825	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
826	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
827	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
828	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
829	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
830	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
831	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
832	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
833	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
834	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
835	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
836	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
837	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
838	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
839	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
840	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
841	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
842	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
843	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
844	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
845	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
846	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
847	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
848	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
849	C₄²	C₂⁴×C₁₃	1	2	yes	—
850	C₄²	C₂⁴×C₁₃	1	2	yes	—
851	C₄²	C₂⁴×C₁₃	1	2	yes	—
852	C₄²	C₂⁴×C₁₃	1	2	yes	—
853	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
854	C₄²	C₂⁴×C₁₃	1	2	yes	—
855	C₄²	C₂⁴×C₁₃	1	2	yes	—
856	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
857	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
858	C₄²	C₂⁴×C₁₃	1	8	yes	—
859	C₄²	C₂⁴×C₁₃	1	8	yes	—
860	C₄²	C₂⁴×C₁₃	1	8	yes	—
861	C₄²	C₂⁴×C₁₃	1	8	yes	—
862	C₁₃	#62822	1	1	yes	characteristic, direct product factor, Sylow
863	C₂³	—	2	8	no	—
864	C₂³	—	2	8	no	—
865	C₂³	—	4	2	no	—
866	C₂³	—	4	4	no	—
867	C₂³	—	4	4	no	—
868	C₂³	—	4	8	no	—
869	C₂³	—	4	8	no	—
870	C₂³	—	4	16	no	—
871	C₂³	C₁₃×H(5,𝔽₂)	1	4	yes	—
872	C₂³	C₂⁵×C₁₃	1	8	yes	—
873	C₂³	C₂⁵×C₁₃	1	8	yes	—
874	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
875	C₂³	C₂⁵×C₁₃	1	2	yes	—
876	Q₈	—	2	8	no	—
877	Q₈	—	4	4	no	—
878	Q₈	—	4	4	no	—
879	Q₈	—	4	4	no	—
880	Q₈	—	4	8	no	—
881	D₄	—	2	16	no	—
882	D₄	—	2	16	no	—
883	D₄	—	2	32	no	—
884	D₄	—	2	8	no	—
885	D₄	—	2	16	no	—
886	D₄	—	4	16	no	—
887	D₄	—	4	8	no	—
888	D₄	—	4	16	no	—
889	D₄	—	4	8	no	—
890	D₄	—	4	4	no	—
891	D₄	—	4	4	no	—
892	D₄	—	4	4	no	—
893	D₄	—	4	16	no	—
894	C₂×C₄	—	2	2	no	—
895	C₂×C₄	—	2	2	no	—
896	C₂×C₄	—	2	4	no	—
897	C₂×C₄	—	2	4	no	—
898	C₂×C₄	—	2	8	no	—
899	C₂×C₄	—	2	8	no	—
900	C₂×C₄	—	2	4	no	—
901	C₂×C₄	—	2	4	no	—
902	C₂×C₄	—	2	4	no	—
903	C₂×C₄	—	2	16	no	—
904	C₂×C₄	—	4	8	no	—
905	C₂×C₄	—	4	2	no	—
906	C₂×C₄	—	4	2	no	—
907	C₂×C₄	—	4	4	no	—
908	C₂×C₄	—	4	2	no	—
909	C₂×C₄	—	4	16	no	—
910	C₂×C₄	—	4	8	no	—
911	C₂×C₄	—	4	16	no	—
912	C₂×C₄	—	4	4	no	—
913	C₂×C₄	—	4	16	no	—
914	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
915	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
916	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
917	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
918	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
919	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
920	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
921	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
922	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
923	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
924	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
925	C₂²	—	2	2	no	—
926	C₂²	—	2	2	no	—
927	C₂²	—	2	2	no	—
928	C₂²	—	2	8	no	—
929	C₂²	—	2	8	no	—
930	C₂²	—	2	8	no	—
931	C₂²	—	2	16	no	—
932	C₂²	—	2	8	no	—
933	C₂²	—	4	4	no	—
934	C₂²	—	8	8	no	—
935	C₂²	—	8	8	no	—
936	C₂²	—	16	8	no	—
937	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
938	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
939	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
940	C₄	—	2	2	no	—
941	C₄	—	2	1	no	—
942	C₄	—	2	1	no	—
943	C₄	—	2	8	no	—
944	C₄	—	2	8	no	—
945	C₄	—	2	2	no	—
946	C₄	—	2	8	no	—
947	C₄	—	2	2	no	—
948	C₄	—	2	2	no	—
949	C₄	—	2	8	no	—
950	C₄	C₁₃×#585	1	4	yes	—
951	C₂	—	2	2	no	—
952	C₂	—	2	4	no	—
953	C₂	—	4	8	no	—
954	C₂	—	4	8	no	—
955	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
956	C₂	C₂×C₁₃×#585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₁₃×#3560	C₂	semidirect
2. C₁₃×#3559	C₂	semidirect
3. C₁₃×#3558	C₂	semidirect
4. C₁₃×#3545	C₂	semidirect
5. C₁₃×#3544	C₂	semidirect
6. C₁₃×#3543	C₂	semidirect
7. C₁₃×#3522	C₂	semidirect
8. C₁₃×#3519	C₂	semidirect
9. C₁₃×#3513	C₂	semidirect
10. C₁₃×#3505	C₂	semidirect
11. C₁₃×#3496	C₂	semidirect
12. C₁₃×#3494	C₂	semidirect
13. C₁₃×#3485	C₂	semidirect
14. C₂×C₁₃×#532	C₂	semidirect
15. C₂×C₁₃×#529	C₂	semidirect
16. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
17. C₂²×C₁₃×#41	C₂²	semidirect
18. C₁₃×#563	C₂²	semidirect
19. C₁₃×#563	C₂²	semidirect
20. C₁₃×#562	C₂²	semidirect
21. C₁₃×H(3,𝔽₄)	C₂²	semidirect
22. C₁₃×#560	C₂²	semidirect
23. C₁₃×#559	C₂²	semidirect
24. C₁₃×#559	C₂²	semidirect
25. Q₈²×C₁₃	C₂²	semidirect
26. C₁₃×#555	C₂²	semidirect
27. C₁₃×#555	C₂²	semidirect
28. C₁₃×#554	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
30. C₁₃×#553	C₂²	semidirect
31. C₁₃×#553	C₂²	semidirect
32. C₁₃×#553	C₂²	semidirect
33. C₁₃×#553	C₂²	semidirect
34. C₁₃×#552	C₂²	semidirect
35. C₁₃×#551	C₂²	semidirect
36. C₁₃×#551	C₂²	semidirect
37. C₁₃×#551	C₂²	semidirect
38. C₁₃×#550	C₂²	semidirect
39. C₁₃×#548	C₂²	semidirect
40. C₁₃×#547	C₂²	semidirect
41. C₁₃×#547	C₂²	semidirect
42. C₁₃×#547	C₂²	semidirect
43. C₁₃×#547	C₂²	semidirect
44. C₁₃×#546	C₂²	semidirect
45. C₁₃×#546	C₂²	semidirect
46. C₁₃×#546	C₂²	semidirect
47. C₁₃×#546	C₂²	semidirect
48. C₁₃×#546	C₂²	semidirect
49. C₁₃×#546	C₂²	semidirect
50. D₄²×C₁₃	C₂²	semidirect
51. D₄²×C₁₃	C₂²	semidirect
52. D₄²×C₁₃	C₂²	semidirect
53. C₁₃×#544	C₂²	semidirect
54. C₁₃×#542	C₂²	semidirect
55. C₁₃×#542	C₂²	semidirect
56. C₁₃×#542	C₂²	semidirect
57. C₁₃×#540	C₂²	semidirect
58. C₁₃×#540	C₂²	semidirect
59. C₁₃×#539	C₂²	semidirect
60. C₁₃×#539	C₂²	semidirect
61. C₁₃×#538	C₂²	semidirect
62. C₁₃×#538	C₂²	semidirect
63. C₁₃×#538	C₂²	semidirect
64. C₁₃×#537	C₂²	semidirect
65. C₁₃×#536	C₂²	semidirect
66. C₁₃×#535	C₂²	semidirect
67. C₁₃×#534	C₂²	semidirect
68. C₁₃×#534	C₂²	semidirect
69. C₁₃×#534	C₂²	semidirect
70. C₁₃×#532	C₂²	semidirect
71. C₁₃×#532	C₂²	semidirect
72. C₁₃×#532	C₂²	semidirect
73. C₁₃×#532	C₂²	semidirect
74. C₁₃×#532	C₂²	semidirect
75. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
76. C₂×C₁₃×#127	C₂²	semidirect
77. C₁₃×#529	C₂²	semidirect
78. C₁₃×#529	C₂²	semidirect
79. C₁₃×#529	C₂²	semidirect
80. C₁₃×#529	C₂²	semidirect
81. C₁₃×#529	C₂²	semidirect
82. C₁₃×#529	C₂²	semidirect
83. C₁₃×#529	C₂²	semidirect
84. C₁₃×#529	C₂²	semidirect
85. C₁₃×#529	C₂²	semidirect
86. C₂×C₁₃×#126	C₂²	semidirect
87. C₂×C₁₃×#125	C₂²	semidirect
88. C₂×C₁₃×#124	C₂²	semidirect
89. C₂×C₁₃×#124	C₂²	semidirect
90. C₁₃×#525	C₂²	semidirect
91. C₁₃×#525	C₂²	semidirect
92. C₂×C₁₃×#123	C₂²	semidirect
93. C₂×C₁₃×#123	C₂²	semidirect
94. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
96. C₂×C₁₃×#121	C₂²	semidirect
97. C₂×C₁₃×#121	C₂²	semidirect
98. C₁₃×#520	C₂²	semidirect
99. C₁₃×#518	C₂²	semidirect
100. C₁₃×#518	C₂²	semidirect
101. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
102. C₂×C₄×D₄×C₁₃	C₂²	semidirect
103. C₂×C₄×D₄×C₁₃	C₂²	semidirect
104. C₂×C₄×D₄×C₁₃	C₂²	semidirect
105. C₂×C₁₃×#117	C₂²	semidirect
106. C₂²×C₄²×C₁₃	C₂²	semidirect
274. #62822	C₁₃	direct (N × H)
385. #3560	C₂×C₁₃	semidirect
386. #3559	C₂×C₁₃	semidirect
387. #3558	C₂×C₁₃	semidirect
388. #3545	C₂×C₁₃	semidirect
389. #3544	C₂×C₁₃	semidirect
390. #3543	C₂×C₁₃	semidirect
391. #3522	C₂×C₁₃	semidirect
392. #3519	C₂×C₁₃	semidirect
393. #3513	C₂×C₁₃	semidirect
394. #3505	C₂×C₁₃	semidirect
395. #3496	C₂×C₁₃	semidirect
396. #3494	C₂×C₁₃	semidirect
397. #3485	C₂×C₁₃	semidirect
398. C₂×#532	C₂×C₁₃	semidirect
399. C₂×#529	C₂×C₁₃	semidirect
462. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
463. C₂²×#41	C₂²×C₁₃	semidirect
464. #563	C₂²×C₁₃	semidirect
465. #563	C₂²×C₁₃	semidirect
466. #562	C₂²×C₁₃	semidirect
467. H(3,𝔽₄)	C₂²×C₁₃	semidirect
468. #560	C₂²×C₁₃	semidirect
469. #559	C₂²×C₁₃	semidirect
470. #559	C₂²×C₁₃	semidirect
471. Q₈²	C₂²×C₁₃	semidirect
472. #555	C₂²×C₁₃	semidirect
473. #555	C₂²×C₁₃	semidirect
474. #554	C₂²×C₁₃	semidirect
475. #554	C₂²×C₁₃	semidirect
476. #553	C₂²×C₁₃	semidirect
477. #553	C₂²×C₁₃	semidirect
478. #553	C₂²×C₁₃	semidirect
479. #553	C₂²×C₁₃	semidirect
480. #552	C₂²×C₁₃	semidirect
481. #551	C₂²×C₁₃	semidirect
482. #551	C₂²×C₁₃	semidirect
483. #551	C₂²×C₁₃	semidirect
484. #550	C₂²×C₁₃	semidirect
485. #548	C₂²×C₁₃	semidirect
486. #547	C₂²×C₁₃	semidirect
487. #547	C₂²×C₁₃	semidirect
488. #547	C₂²×C₁₃	semidirect
489. #547	C₂²×C₁₃	semidirect
490. #546	C₂²×C₁₃	semidirect
491. #546	C₂²×C₁₃	semidirect
492. #546	C₂²×C₁₃	semidirect
493. #546	C₂²×C₁₃	semidirect
494. #546	C₂²×C₁₃	semidirect
495. #546	C₂²×C₁₃	semidirect
496. D₄²	C₂²×C₁₃	semidirect
497. D₄²	C₂²×C₁₃	semidirect
498. D₄²	C₂²×C₁₃	semidirect
499. #544	C₂²×C₁₃	semidirect
500. #542	C₂²×C₁₃	semidirect
501. #542	C₂²×C₁₃	semidirect
502. #542	C₂²×C₁₃	semidirect
503. #540	C₂²×C₁₃	semidirect
504. #540	C₂²×C₁₃	semidirect
505. #539	C₂²×C₁₃	semidirect
506. #539	C₂²×C₁₃	semidirect
507. #538	C₂²×C₁₃	semidirect
508. #538	C₂²×C₁₃	semidirect
509. #538	C₂²×C₁₃	semidirect
510. #537	C₂²×C₁₃	semidirect
511. #536	C₂²×C₁₃	semidirect
512. #535	C₂²×C₁₃	semidirect
513. #534	C₂²×C₁₃	semidirect
514. #534	C₂²×C₁₃	semidirect
515. #534	C₂²×C₁₃	semidirect
516. #532	C₂²×C₁₃	semidirect
517. #532	C₂²×C₁₃	semidirect
518. #532	C₂²×C₁₃	semidirect
519. #532	C₂²×C₁₃	semidirect
520. #532	C₂²×C₁₃	semidirect
521. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
522. C₂×#127	C₂²×C₁₃	semidirect
523. #529	C₂²×C₁₃	semidirect
524. #529	C₂²×C₁₃	semidirect
525. #529	C₂²×C₁₃	semidirect
526. #529	C₂²×C₁₃	semidirect
527. #529	C₂²×C₁₃	semidirect
528. #529	C₂²×C₁₃	semidirect
529. #529	C₂²×C₁₃	semidirect
530. #529	C₂²×C₁₃	semidirect
531. #529	C₂²×C₁₃	semidirect
532. C₂×#126	C₂²×C₁₃	semidirect
533. C₂×#125	C₂²×C₁₃	semidirect
534. C₂×#124	C₂²×C₁₃	semidirect
535. C₂×#124	C₂²×C₁₃	semidirect
536. #525	C₂²×C₁₃	semidirect
537. #525	C₂²×C₁₃	semidirect
538. C₂×#123	C₂²×C₁₃	semidirect
539. C₂×#123	C₂²×C₁₃	semidirect
540. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
542. C₂×#121	C₂²×C₁₃	semidirect
543. C₂×#121	C₂²×C₁₃	semidirect
544. #520	C₂²×C₁₃	semidirect
545. #518	C₂²×C₁₃	semidirect
546. #518	C₂²×C₁₃	semidirect
547. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
548. C₂×C₄×D₄	C₂²×C₁₃	semidirect
549. C₂×C₄×D₄	C₂²×C₁₃	semidirect
550. C₂×C₄×D₄	C₂²×C₁₃	semidirect
551. C₂×#117	C₂²×C₁₃	semidirect
552. C₂²×C₄²	C₂²×C₁₃	semidirect
862. C₁₃	#62822	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×#3560	2
C₁₃×#3559	2
C₁₃×#3558	2
C₁₃×#3545	2
C₁₃×#3544	2
C₁₃×#3543	2
C₁₃×#3522	2
C₁₃×#3519	2
C₁₃×#3513	2
C₁₃×#3505	2
C₁₃×#3496	2
C₁₃×#3494	2
C₁₃×#3485	2
C₂×C₁₃×#532	2
C₂×C₁₃×#529	2
#62822	13

Subgroups — C13×#62822 #15749161

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62822 #15749161