Subgroups — C₁₃×#62931 #15749270

Order 3328.

7074 conjugacy classes of subgroups.

The subgroup lattice has 1032 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×#3560	C₂	1	8	yes	maximal, complemented
4	C₁₃×#3552	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3546	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3536	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3514	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3511	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3500	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3499	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3497	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3494	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3480	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₃×#556	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3461	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	4	yes	complemented
19	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	2	yes	—
20	C₁₃×#563	C₂²	1	16	yes	complemented
21	C₁₃×#562	C₂²	1	16	yes	complemented
22	C₁₃×#560	C₂²	1	16	yes	complemented
23	C₁₃×#559	C₂²	1	4	yes	complemented
24	C₁₃×#559	C₂²	1	2	yes	complemented
25	C₁₃×#557	C₂²	1	2	yes	complemented
26	C₁₃×#556	C₂²	1	4	yes	complemented
27	C₁₃×#556	C₂²	1	4	yes	complemented
28	C₁₃×#556	C₂²	1	8	yes	complemented
29	C₁₃×#556	C₂²	1	4	yes	complemented
30	C₁₃×#556	C₂²	1	2	yes	complemented
31	C₁₃×#555	C₂²	1	8	yes	complemented
32	C₁₃×#554	C₂²	1	8	yes	complemented
33	C₁₃×#553	C₂²	1	8	yes	complemented
34	C₁₃×#553	C₂²	1	8	yes	complemented
35	C₁₃×#553	C₂²	1	16	yes	complemented
36	C₁₃×#553	C₂²	1	4	yes	complemented
37	C₁₃×#551	C₂²	1	16	yes	complemented
38	C₁₃×#551	C₂²	1	16	yes	complemented
39	C₁₃×#550	C₂²	1	2	yes	complemented
40	C₁₃×#550	C₂²	1	8	yes	complemented
41	D₄×Q₈×C₁₃	C₂²	1	8	yes	complemented
42	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
43	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
44	C₁₃×#548	C₂²	1	4	yes	complemented
45	C₁₃×#548	C₂²	1	8	yes	complemented
46	C₁₃×#548	C₂²	1	8	yes	complemented
47	C₁₃×#548	C₂²	1	8	yes	complemented
48	C₁₃×#548	C₂²	1	8	yes	complemented
49	C₁₃×#547	C₂²	1	4	yes	—
50	C₁₃×#547	C₂²	1	8	yes	complemented
51	C₁₃×#547	C₂²	1	4	yes	complemented
52	C₁₃×#547	C₂²	1	8	yes	complemented
53	C₁₃×#547	C₂²	1	4	yes	complemented
54	C₁₃×#546	C₂²	1	8	yes	—
55	C₁₃×#546	C₂²	1	8	yes	complemented
56	C₁₃×#546	C₂²	1	16	yes	complemented
57	C₁₃×#546	C₂²	1	8	yes	complemented
58	C₁₃×#546	C₂²	1	16	yes	complemented
59	C₁₃×#546	C₂²	1	8	yes	complemented
60	D₄²×C₁₃	C₂²	1	4	yes	—
61	C₁₃×#544	C₂²	1	4	yes	complemented
62	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#543	C₂²	1	8	yes	complemented
64	C₁₃×#542	C₂²	1	8	yes	complemented
65	C₁₃×#542	C₂²	1	8	yes	complemented
66	C₁₃×#542	C₂²	1	16	yes	complemented
67	C₁₃×#542	C₂²	1	4	yes	complemented
68	C₁₃×#542	C₂²	1	8	yes	complemented
69	C₁₃×#541	C₂²	1	8	yes	complemented
70	C₁₃×#540	C₂²	1	4	yes	complemented
71	C₁₃×#540	C₂²	1	8	yes	complemented
72	C₁₃×#539	C₂²	1	8	yes	complemented
73	C₁₃×#539	C₂²	1	16	yes	complemented
74	C₁₃×#538	C₂²	1	8	yes	complemented
75	C₁₃×#538	C₂²	1	16	yes	complemented
76	C₁₃×#538	C₂²	1	4	yes	complemented
77	C₁₃×#538	C₂²	1	16	yes	complemented
78	C₁₃×#537	C₂²	1	2	yes	—
79	C₁₃×#537	C₂²	1	8	yes	complemented
80	C₁₃×#537	C₂²	1	8	yes	complemented
81	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#536	C₂²	1	8	yes	complemented
83	C₁₃×#536	C₂²	1	8	yes	complemented
84	C₁₃×#536	C₂²	1	4	yes	complemented
85	C₁₃×#535	C₂²	1	2	yes	—
86	C₁₃×#535	C₂²	1	4	yes	complemented
87	C₁₃×#535	C₂²	1	8	yes	complemented
88	C₁₃×#534	C₂²	1	4	yes	—
89	C₁₃×#533	C₂²	1	8	yes	complemented
90	C₁₃×#532	C₂²	1	2	yes	—
91	C₁₃×#532	C₂²	1	4	yes	complemented
92	C₁₃×#532	C₂²	1	4	yes	complemented
93	C₁₃×#532	C₂²	1	8	yes	complemented
94	C₁₃×#532	C₂²	1	8	yes	complemented
95	C₁₃×#532	C₂²	1	4	yes	complemented
96	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
97	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#529	C₂²	1	4	yes	complemented
99	C₁₃×#529	C₂²	1	4	yes	complemented
100	C₁₃×#529	C₂²	1	8	yes	complemented
101	C₁₃×#529	C₂²	1	8	yes	complemented
102	C₁₃×#529	C₂²	1	8	yes	complemented
103	C₂×C₁₃×#126	C₂²	1	4	yes	complemented
104	C₂×C₁₃×#124	C₂²	1	2	yes	—
105	C₂×C₁₃×#124	C₂²	1	8	yes	complemented
106	C₁₃×#525	C₂²	1	4	yes	complemented
107	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
108	C₂×C₁₃×#121	C₂²	1	4	yes	—
109	C₁₃×#520	C₂²	1	4	yes	complemented
110	C₁₃×#518	C₂²	1	4	yes	complemented
111	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
112	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
113	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
114	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
115	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
117	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
118	C₁₃×2₋¹⁺⁴	—	4	16	no	—
119	C₁₃×H(5,𝔽₂)	—	4	8	no	—
120	C₂×C₁₃×#41	C₂³	1	4	yes	—
121	C₂×C₁₃×#41	C₂³	1	2	yes	—
122	C₂×C₁₃×#41	C₂³	1	4	yes	—
123	C₂×C₁₃×#41	C₂³	1	4	yes	—
124	C₂×C₁₃×#41	C₂³	1	8	yes	—
125	C₂×C₁₃×#41	C₂³	1	8	yes	—
126	C₂×C₁₃×#41	C₂³	1	8	yes	—
127	C₂×C₁₃×#41	C₂³	1	16	yes	—
128	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
129	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
130	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
131	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
132	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
134	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
135	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
136	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
137	C₁₃×C₄⋊Q₈	C₂³	1	2	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	8	yes	—
142	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
143	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
144	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
145	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
146	C₁₃×#127	C₂³	1	2	yes	—
147	C₁₃×#127	C₂³	1	4	yes	—
148	C₁₃×#127	C₂³	1	4	yes	—
149	C₁₃×#127	C₂³	1	8	yes	—
150	C₁₃×#126	C₂³	1	16	yes	—
151	C₁₃×#126	C₂³	1	16	yes	—
152	C₁₃×#126	C₂³	1	16	yes	—
153	C₁₃×#126	C₂³	1	8	yes	—
154	C₁₃×#126	C₂³	1	8	yes	—
155	C₁₃×#126	C₂³	1	16	yes	—
156	C₁₃×#126	C₂³	1	8	yes	—
157	C₁₃×#126	C₂³	1	8	yes	—
158	C₁₃×#125	C₂³	1	4	yes	—
159	C₁₃×#125	C₂³	1	8	yes	—
160	C₁₃×#125	C₂³	1	8	yes	—
161	C₁₃×#125	C₂³	1	4	yes	—
162	C₁₃×#125	C₂³	1	16	yes	—
163	C₁₃×#124	C₂³	1	8	yes	—
164	C₁₃×#124	C₂³	1	8	yes	—
165	C₁₃×#124	C₂³	1	4	yes	—
166	C₁₃×#124	C₂³	1	4	yes	—
167	C₁₃×#124	C₂³	1	8	yes	—
168	C₁₃×#124	C₂³	1	16	yes	—
169	C₁₃×#124	C₂³	1	16	yes	—
170	C₁₃×#124	C₂³	1	8	yes	—
171	C₁₃×#124	C₂³	1	8	yes	—
172	C₁₃×#124	C₂³	1	4	yes	—
173	C₁₃×#124	C₂³	1	4	yes	—
174	C₁₃×#124	C₂³	1	4	yes	—
175	C₁₃×#124	C₂³	1	8	yes	—
176	C₁₃×#124	C₂³	1	16	yes	—
177	C₁₃×#123	C₂³	1	8	yes	—
178	C₁₃×#123	C₂³	1	16	yes	—
179	C₁₃×#123	C₂³	1	8	yes	—
180	C₁₃×#123	C₂³	1	8	yes	—
181	C₁₃×#123	C₂³	1	8	yes	—
182	C₁₃×#123	C₂³	1	16	yes	—
183	C₁₃×#123	C₂³	1	8	yes	—
184	C₁₃×#123	C₂³	1	16	yes	—
185	C₁₃×#123	C₂³	1	16	yes	—
186	C₁₃×#123	C₂³	1	16	yes	—
187	C₁₃×#123	C₂³	1	16	yes	—
188	C₁₃×#123	C₂³	1	16	yes	—
189	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
190	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
191	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
192	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
193	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
194	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
195	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
203	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
204	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
205	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
206	C₁₃×#121	C₂³	1	4	yes	—
207	C₁₃×#121	C₂³	1	8	yes	—
208	C₁₃×#121	C₂³	1	8	yes	—
209	C₁₃×#121	C₂³	1	8	yes	—
210	C₁₃×#121	C₂³	1	4	yes	—
211	C₁₃×#121	C₂³	1	4	yes	—
212	C₁₃×#121	C₂³	1	4	yes	—
213	C₁₃×#121	C₂³	1	4	yes	—
214	C₁₃×#121	C₂³	1	8	yes	—
215	C₁₃×#121	C₂³	1	8	yes	—
216	C₁₃×#121	C₂³	1	4	yes	—
217	C₁₃×#121	C₂³	1	8	yes	—
218	C₁₃×#121	C₂³	1	4	yes	—
219	C₁₃×#121	C₂³	1	8	yes	—
220	C₁₃×#121	C₂³	1	8	yes	—
221	C₁₃×#121	C₂³	1	4	yes	—
222	C₁₃×#121	C₂³	1	16	yes	—
223	C₁₃×#121	C₂³	1	8	yes	—
224	C₁₃×#121	C₂³	1	16	yes	—
225	C₁₃×#121	C₂³	1	8	yes	—
226	C₁₃×#121	C₂³	1	16	yes	—
227	C₁₃×#121	C₂³	1	16	yes	—
228	C₁₃×#121	C₂³	1	16	yes	—
229	C₁₃×#121	C₂³	1	16	yes	—
230	C₁₃×#120	C₂³	1	8	yes	—
231	C₁₃×#120	C₂³	1	16	yes	—
232	C₁₃×#120	C₂³	1	16	yes	—
233	C₁₃×#120	C₂³	1	16	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
237	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
238	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
239	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
240	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
241	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
242	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
243	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
244	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
245	C₄×D₄×C₁₃	C₂³	1	4	yes	—
246	C₄×D₄×C₁₃	C₂³	1	4	yes	—
247	C₄×D₄×C₁₃	C₂³	1	4	yes	—
248	C₄×D₄×C₁₃	C₂³	1	4	yes	—
249	C₄×D₄×C₁₃	C₂³	1	8	yes	—
250	C₄×D₄×C₁₃	C₂³	1	4	yes	—
251	C₄×D₄×C₁₃	C₂³	1	4	yes	—
252	C₄×D₄×C₁₃	C₂³	1	8	yes	—
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₄×D₄×C₁₃	C₂³	1	4	yes	—
255	C₄×D₄×C₁₃	C₂³	1	8	yes	—
256	C₄×D₄×C₁₃	C₂³	1	8	yes	—
257	C₄×D₄×C₁₃	C₂³	1	2	yes	—
258	C₄×D₄×C₁₃	C₂³	1	4	yes	—
259	C₄×D₄×C₁₃	C₂³	1	8	yes	—
260	C₄×D₄×C₁₃	C₂³	1	8	yes	—
261	C₄×D₄×C₁₃	C₂³	1	8	yes	—
262	C₄×D₄×C₁₃	C₂³	1	8	yes	—
263	C₄×D₄×C₁₃	C₂³	1	16	yes	—
264	C₄×D₄×C₁₃	C₂³	1	8	yes	—
265	C₄×D₄×C₁₃	C₂³	1	4	yes	—
266	C₄×D₄×C₁₃	C₂³	1	8	yes	—
267	C₄×D₄×C₁₃	C₂³	1	8	yes	—
268	C₄×D₄×C₁₃	C₂³	1	16	yes	—
269	C₄×D₄×C₁₃	C₂³	1	16	yes	—
270	C₁₃×#117	C₂³	1	4	yes	—
271	C₁₃×#117	C₂³	1	4	yes	—
272	C₁₃×#117	C₂³	1	8	yes	—
273	C₁₃×#117	C₂³	1	2	yes	—
274	C₁₃×#117	C₂³	1	4	yes	—
275	C₁₃×#117	C₂³	1	8	yes	—
276	C₁₃×#117	C₂³	1	4	yes	—
277	C₁₃×#117	C₂³	1	8	yes	—
278	C₁₃×#117	C₂³	1	4	yes	—
279	C₁₃×#117	C₂³	1	16	yes	—
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
282	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
284	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
285	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
286	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
287	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
288	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
289	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
290	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
292	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
293	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
294	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
295	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
296	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
298	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
299	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
300	#62931	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
301	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
302	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
303	C₁₃×#41	—	2	16	no	—
304	C₁₃×#41	—	2	8	no	—
305	C₁₃×#41	—	4	8	no	—
306	C₁₃×#41	—	4	32	no	—
307	C₁₃×#41	—	4	8	no	—
308	C₁₃×#41	—	4	16	no	—
309	C₁₃×#41	—	4	16	no	—
310	C₁₃×#41	—	4	16	no	—
311	C₂×Q₈×C₁₃	—	2	8	no	—
312	C₂×Q₈×C₁₃	—	4	2	no	—
313	C₂×Q₈×C₁₃	—	4	16	no	—
314	C₂×Q₈×C₁₃	—	4	16	no	—
315	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
316	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
317	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
318	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
319	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
320	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
321	C₂×Q₈×C₁₃	C₂⁴	1	16	yes	—
322	C₂×D₄×C₁₃	—	2	4	no	—
323	C₂×D₄×C₁₃	—	4	8	no	—
324	C₂×D₄×C₁₃	—	4	16	no	—
325	C₂×D₄×C₁₃	—	4	16	no	—
326	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
327	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
328	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
329	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
330	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
331	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
332	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
333	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
334	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
335	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
336	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
337	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
338	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
339	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
340	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
341	C₂²×C₄×C₁₃	—	4	4	no	—
342	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
343	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
345	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
346	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
347	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
348	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
349	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
350	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
352	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
353	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
354	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
355	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
356	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
357	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
358	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
361	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
362	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
363	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
364	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
365	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
366	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
367	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
368	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
369	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
370	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
371	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
372	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
373	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
374	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
375	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
376	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
377	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
378	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
379	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
380	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
381	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
382	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
383	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
384	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
385	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
386	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
387	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
388	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
389	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
390	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
391	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
392	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
393	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
394	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
395	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
396	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
397	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
398	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
399	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
400	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
401	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
402	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
403	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
404	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
405	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
406	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
407	C₄²×C₁₃	C₂⁴	1	4	yes	—
408	C₄²×C₁₃	C₂⁴	1	2	yes	—
409	C₄²×C₁₃	C₂⁴	1	4	yes	—
410	C₄²×C₁₃	C₂⁴	1	8	yes	—
411	C₄²×C₁₃	C₂⁴	1	8	yes	—
412	C₄²×C₁₃	C₂⁴	1	4	yes	—
413	C₄²×C₁₃	C₂⁴	1	2	yes	—
414	C₄²×C₁₃	C₂⁴	1	4	yes	—
415	C₄²×C₁₃	C₂⁴	1	4	yes	—
416	C₄²×C₁₃	C₂⁴	1	8	yes	—
417	C₄²×C₁₃	C₂⁴	1	8	yes	—
418	#3562	C₂×C₁₃	1	8	yes	complemented
419	#3561	C₂×C₁₃	1	8	yes	complemented
420	#3560	C₂×C₁₃	1	8	yes	complemented
421	#3552	C₂×C₁₃	1	4	yes	complemented
422	#3546	C₂×C₁₃	1	4	yes	complemented
423	#3536	C₂×C₁₃	1	4	yes	complemented
424	#3514	C₂×C₁₃	1	4	yes	complemented
425	#3511	C₂×C₁₃	1	4	yes	complemented
426	#3500	C₂×C₁₃	1	4	yes	complemented
427	#3499	C₂×C₁₃	1	2	yes	complemented
428	#3497	C₂×C₁₃	1	2	yes	complemented
429	#3496	C₂×C₁₃	1	1	yes	characteristic, complemented
430	#3494	C₂×C₁₃	1	4	yes	complemented
431	#3480	C₂×C₁₃	1	2	yes	complemented
432	C₂×#556	C₂×C₁₃	1	1	yes	characteristic, complemented
433	#3461	C₂×C₁₃	1	2	yes	complemented
434	#3460	C₂×C₁₃	1	1	yes	characteristic, complemented
435	C₂³×C₁₃	—	2	4	no	—
436	C₂³×C₁₃	—	4	2	no	—
437	C₂³×C₁₃	—	4	2	no	—
438	C₂³×C₁₃	—	4	8	no	—
439	C₂³×C₁₃	—	4	8	no	—
440	C₂³×C₁₃	—	4	8	no	—
441	C₂³×C₁₃	C₂⁵	1	4	yes	—
442	C₂³×C₁₃	C₂⁵	1	8	yes	—
443	C₂³×C₁₃	C₂⁵	1	4	yes	—
444	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
445	Q₈×C₁₃	—	2	16	no	—
446	Q₈×C₁₃	—	2	4	no	—
447	Q₈×C₁₃	—	2	8	no	—
448	Q₈×C₁₃	—	2	4	no	—
449	Q₈×C₁₃	—	4	16	no	—
450	Q₈×C₁₃	—	4	2	no	—
451	Q₈×C₁₃	—	4	4	no	—
452	D₄×C₁₃	—	2	16	no	—
453	D₄×C₁₃	—	2	8	no	—
454	D₄×C₁₃	—	2	8	no	—
455	D₄×C₁₃	—	2	8	no	—
456	D₄×C₁₃	—	2	4	no	—
457	D₄×C₁₃	—	2	8	no	—
458	D₄×C₁₃	—	4	16	no	—
459	D₄×C₁₃	—	4	8	no	—
460	D₄×C₁₃	—	4	8	no	—
461	D₄×C₁₃	—	4	4	no	—
462	D₄×C₁₃	—	4	8	no	—
463	D₄×C₁₃	—	4	4	no	—
464	D₄×C₁₃	—	4	8	no	—
465	D₄×C₁₃	—	4	8	no	—
466	D₄×C₁₃	—	4	16	no	—
467	C₂×C₄×C₁₃	—	2	8	no	—
468	C₂×C₄×C₁₃	—	2	16	no	—
469	C₂×C₄×C₁₃	—	2	8	no	—
470	C₂×C₄×C₁₃	—	2	2	no	—
471	C₂×C₄×C₁₃	—	2	8	no	—
472	C₂×C₄×C₁₃	—	2	8	no	—
473	C₂×C₄×C₁₃	—	4	4	no	—
474	C₂×C₄×C₁₃	—	4	2	no	—
475	C₂×C₄×C₁₃	—	4	8	no	—
476	C₂×C₄×C₁₃	—	4	2	no	—
477	C₂×C₄×C₁₃	—	4	1	no	—
478	C₂×C₄×C₁₃	—	4	4	no	—
479	C₂×C₄×C₁₃	—	4	8	no	—
480	C₂×C₄×C₁₃	—	4	2	no	—
481	C₂×C₄×C₁₃	—	4	16	no	—
482	C₂×C₄×C₁₃	—	4	16	no	—
483	C₂×C₄×C₁₃	—	4	8	no	—
484	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
485	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
486	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
487	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
488	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
489	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
490	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
491	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
492	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
493	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
494	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
495	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
496	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
497	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
498	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	4	yes	complemented
499	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	2	yes	—
500	#563	C₂²×C₁₃	1	16	yes	complemented
501	#562	C₂²×C₁₃	1	16	yes	complemented
502	#560	C₂²×C₁₃	1	16	yes	complemented
503	#559	C₂²×C₁₃	1	2	yes	complemented
504	#559	C₂²×C₁₃	1	4	yes	complemented
505	#557	C₂²×C₁₃	1	2	yes	complemented
506	#556	C₂²×C₁₃	1	4	yes	complemented
507	#556	C₂²×C₁₃	1	4	yes	complemented
508	#556	C₂²×C₁₃	1	8	yes	complemented
509	#556	C₂²×C₁₃	1	2	yes	complemented
510	#556	C₂²×C₁₃	1	4	yes	complemented
511	#555	C₂²×C₁₃	1	8	yes	complemented
512	#554	C₂²×C₁₃	1	8	yes	complemented
513	#553	C₂²×C₁₃	1	4	yes	complemented
514	#553	C₂²×C₁₃	1	8	yes	complemented
515	#553	C₂²×C₁₃	1	8	yes	complemented
516	#553	C₂²×C₁₃	1	16	yes	complemented
517	#551	C₂²×C₁₃	1	16	yes	complemented
518	#551	C₂²×C₁₃	1	16	yes	complemented
519	#550	C₂²×C₁₃	1	2	yes	complemented
520	#550	C₂²×C₁₃	1	8	yes	complemented
521	D₄×Q₈	C₂²×C₁₃	1	8	yes	complemented
522	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
523	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
524	#548	C₂²×C₁₃	1	4	yes	complemented
525	#548	C₂²×C₁₃	1	8	yes	complemented
526	#548	C₂²×C₁₃	1	8	yes	complemented
527	#548	C₂²×C₁₃	1	8	yes	complemented
528	#548	C₂²×C₁₃	1	8	yes	complemented
529	#547	C₂²×C₁₃	1	4	yes	—
530	#547	C₂²×C₁₃	1	8	yes	complemented
531	#547	C₂²×C₁₃	1	4	yes	complemented
532	#547	C₂²×C₁₃	1	8	yes	complemented
533	#547	C₂²×C₁₃	1	4	yes	complemented
534	#546	C₂²×C₁₃	1	8	yes	—
535	#546	C₂²×C₁₃	1	16	yes	complemented
536	#546	C₂²×C₁₃	1	8	yes	complemented
537	#546	C₂²×C₁₃	1	16	yes	complemented
538	#546	C₂²×C₁₃	1	8	yes	complemented
539	#546	C₂²×C₁₃	1	8	yes	complemented
540	D₄²	C₂²×C₁₃	1	4	yes	—
541	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
542	#544	C₂²×C₁₃	1	4	yes	complemented
543	#543	C₂²×C₁₃	1	8	yes	complemented
544	#542	C₂²×C₁₃	1	4	yes	complemented
545	#542	C₂²×C₁₃	1	8	yes	complemented
546	#542	C₂²×C₁₃	1	8	yes	complemented
547	#542	C₂²×C₁₃	1	16	yes	complemented
548	#542	C₂²×C₁₃	1	8	yes	complemented
549	#541	C₂²×C₁₃	1	8	yes	complemented
550	#540	C₂²×C₁₃	1	4	yes	complemented
551	#540	C₂²×C₁₃	1	8	yes	complemented
552	#539	C₂²×C₁₃	1	8	yes	complemented
553	#539	C₂²×C₁₃	1	16	yes	complemented
554	#538	C₂²×C₁₃	1	4	yes	complemented
555	#538	C₂²×C₁₃	1	16	yes	complemented
556	#538	C₂²×C₁₃	1	8	yes	complemented
557	#538	C₂²×C₁₃	1	16	yes	complemented
558	#537	C₂²×C₁₃	1	2	yes	—
559	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
560	#537	C₂²×C₁₃	1	8	yes	complemented
561	#537	C₂²×C₁₃	1	8	yes	complemented
562	#536	C₂²×C₁₃	1	4	yes	complemented
563	#536	C₂²×C₁₃	1	8	yes	complemented
564	#536	C₂²×C₁₃	1	8	yes	complemented
565	#535	C₂²×C₁₃	1	2	yes	—
566	#535	C₂²×C₁₃	1	4	yes	complemented
567	#535	C₂²×C₁₃	1	8	yes	complemented
568	#534	C₂²×C₁₃	1	4	yes	—
569	#533	C₂²×C₁₃	1	8	yes	complemented
570	#532	C₂²×C₁₃	1	2	yes	—
571	#532	C₂²×C₁₃	1	4	yes	complemented
572	#532	C₂²×C₁₃	1	4	yes	complemented
573	#532	C₂²×C₁₃	1	8	yes	complemented
574	#532	C₂²×C₁₃	1	4	yes	complemented
575	#532	C₂²×C₁₃	1	8	yes	complemented
576	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
577	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
578	#529	C₂²×C₁₃	1	4	yes	complemented
579	#529	C₂²×C₁₃	1	8	yes	complemented
580	#529	C₂²×C₁₃	1	8	yes	complemented
581	#529	C₂²×C₁₃	1	4	yes	complemented
582	#529	C₂²×C₁₃	1	8	yes	complemented
583	C₂×#126	C₂²×C₁₃	1	4	yes	complemented
584	C₂×#124	C₂²×C₁₃	1	2	yes	—
585	C₂×#124	C₂²×C₁₃	1	8	yes	complemented
586	#525	C₂²×C₁₃	1	4	yes	complemented
587	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
588	C₂×#121	C₂²×C₁₃	1	4	yes	—
589	#520	C₂²×C₁₃	1	4	yes	complemented
590	#518	C₂²×C₁₃	1	4	yes	complemented
591	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
592	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
593	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
594	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
595	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
597	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
598	C₂²×C₁₃	—	2	1	no	—
599	C₂²×C₁₃	—	2	1	no	—
600	C₂²×C₁₃	—	2	4	no	—
601	C₂²×C₁₃	—	2	8	no	—
602	C₂²×C₁₃	—	2	4	no	—
603	C₂²×C₁₃	—	2	4	no	—
604	C₂²×C₁₃	—	2	4	no	—
605	C₂²×C₁₃	—	2	8	no	—
606	C₂²×C₁₃	—	2	4	no	—
607	C₂²×C₁₃	—	2	8	no	—
608	C₂²×C₁₃	—	2	4	no	—
609	C₂²×C₁₃	—	8	4	no	—
610	C₂²×C₁₃	—	16	8	no	—
611	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
612	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
613	C₄×C₁₃	—	2	8	no	—
614	C₄×C₁₃	—	2	4	no	—
615	C₄×C₁₃	—	2	8	no	—
616	C₄×C₁₃	—	2	1	no	—
617	C₄×C₁₃	—	2	4	no	—
618	C₄×C₁₃	—	2	4	no	—
619	C₄×C₁₃	—	2	4	no	—
620	C₄×C₁₃	—	2	2	no	—
621	C₄×C₁₃	—	2	4	no	—
622	C₄×C₁₃	—	2	2	no	—
623	C₄×C₁₃	—	2	2	no	—
624	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
625	C₄×C₁₃	#585	1	2	yes	—
626	2₋¹⁺⁴	—	4	16	no	—
627	H(5,𝔽₂)	—	4	8	no	—
628	C₂×#41	C₂³×C₁₃	1	4	yes	—
629	C₂×#41	C₂³×C₁₃	1	2	yes	—
630	C₂×#41	C₂³×C₁₃	1	4	yes	—
631	C₂×#41	C₂³×C₁₃	1	4	yes	—
632	C₂×#41	C₂³×C₁₃	1	8	yes	—
633	C₂×#41	C₂³×C₁₃	1	8	yes	—
634	C₂×#41	C₂³×C₁₃	1	8	yes	—
635	C₂×#41	C₂³×C₁₃	1	16	yes	—
636	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
637	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
638	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
639	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
640	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
641	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
642	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
643	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
644	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
645	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
646	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
647	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
648	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
649	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
650	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
651	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
652	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
653	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
654	#127	C₂³×C₁₃	1	2	yes	—
655	#127	C₂³×C₁₃	1	4	yes	—
656	#127	C₂³×C₁₃	1	4	yes	—
657	#127	C₂³×C₁₃	1	8	yes	—
658	#126	C₂³×C₁₃	1	16	yes	—
659	#126	C₂³×C₁₃	1	16	yes	—
660	#126	C₂³×C₁₃	1	16	yes	—
661	#126	C₂³×C₁₃	1	8	yes	—
662	#126	C₂³×C₁₃	1	8	yes	—
663	#126	C₂³×C₁₃	1	16	yes	—
664	#126	C₂³×C₁₃	1	8	yes	—
665	#126	C₂³×C₁₃	1	8	yes	—
666	#125	C₂³×C₁₃	1	4	yes	—
667	#125	C₂³×C₁₃	1	8	yes	—
668	#125	C₂³×C₁₃	1	8	yes	—
669	#125	C₂³×C₁₃	1	4	yes	—
670	#125	C₂³×C₁₃	1	16	yes	—
671	#124	C₂³×C₁₃	1	8	yes	—
672	#124	C₂³×C₁₃	1	8	yes	—
673	#124	C₂³×C₁₃	1	4	yes	—
674	#124	C₂³×C₁₃	1	4	yes	—
675	#124	C₂³×C₁₃	1	8	yes	—
676	#124	C₂³×C₁₃	1	16	yes	—
677	#124	C₂³×C₁₃	1	16	yes	—
678	#124	C₂³×C₁₃	1	8	yes	—
679	#124	C₂³×C₁₃	1	8	yes	—
680	#124	C₂³×C₁₃	1	4	yes	—
681	#124	C₂³×C₁₃	1	4	yes	—
682	#124	C₂³×C₁₃	1	4	yes	—
683	#124	C₂³×C₁₃	1	8	yes	—
684	#124	C₂³×C₁₃	1	16	yes	—
685	#123	C₂³×C₁₃	1	8	yes	—
686	#123	C₂³×C₁₃	1	16	yes	—
687	#123	C₂³×C₁₃	1	8	yes	—
688	#123	C₂³×C₁₃	1	8	yes	—
689	#123	C₂³×C₁₃	1	8	yes	—
690	#123	C₂³×C₁₃	1	16	yes	—
691	#123	C₂³×C₁₃	1	8	yes	—
692	#123	C₂³×C₁₃	1	16	yes	—
693	#123	C₂³×C₁₃	1	16	yes	—
694	#123	C₂³×C₁₃	1	16	yes	—
695	#123	C₂³×C₁₃	1	16	yes	—
696	#123	C₂³×C₁₃	1	16	yes	—
697	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
698	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
699	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
700	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
701	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
702	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
703	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
704	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
705	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
706	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
707	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
708	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
709	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
710	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
711	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
712	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
713	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
714	#121	C₂³×C₁₃	1	4	yes	—
715	#121	C₂³×C₁₃	1	8	yes	—
716	#121	C₂³×C₁₃	1	8	yes	—
717	#121	C₂³×C₁₃	1	8	yes	—
718	#121	C₂³×C₁₃	1	4	yes	—
719	#121	C₂³×C₁₃	1	4	yes	—
720	#121	C₂³×C₁₃	1	4	yes	—
721	#121	C₂³×C₁₃	1	4	yes	—
722	#121	C₂³×C₁₃	1	8	yes	—
723	#121	C₂³×C₁₃	1	8	yes	—
724	#121	C₂³×C₁₃	1	4	yes	—
725	#121	C₂³×C₁₃	1	8	yes	—
726	#121	C₂³×C₁₃	1	4	yes	—
727	#121	C₂³×C₁₃	1	8	yes	—
728	#121	C₂³×C₁₃	1	8	yes	—
729	#121	C₂³×C₁₃	1	4	yes	—
730	#121	C₂³×C₁₃	1	16	yes	—
731	#121	C₂³×C₁₃	1	8	yes	—
732	#121	C₂³×C₁₃	1	16	yes	—
733	#121	C₂³×C₁₃	1	8	yes	—
734	#121	C₂³×C₁₃	1	16	yes	—
735	#121	C₂³×C₁₃	1	16	yes	—
736	#121	C₂³×C₁₃	1	16	yes	—
737	#121	C₂³×C₁₃	1	16	yes	—
738	#120	C₂³×C₁₃	1	8	yes	—
739	#120	C₂³×C₁₃	1	16	yes	—
740	#120	C₂³×C₁₃	1	16	yes	—
741	#120	C₂³×C₁₃	1	16	yes	—
742	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
743	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
744	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
745	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
746	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
747	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
748	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
749	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
750	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
751	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
752	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
753	C₄×D₄	C₂³×C₁₃	1	4	yes	—
754	C₄×D₄	C₂³×C₁₃	1	4	yes	—
755	C₄×D₄	C₂³×C₁₃	1	4	yes	—
756	C₄×D₄	C₂³×C₁₃	1	4	yes	—
757	C₄×D₄	C₂³×C₁₃	1	8	yes	—
758	C₄×D₄	C₂³×C₁₃	1	4	yes	—
759	C₄×D₄	C₂³×C₁₃	1	4	yes	—
760	C₄×D₄	C₂³×C₁₃	1	8	yes	—
761	C₄×D₄	C₂³×C₁₃	1	2	yes	—
762	C₄×D₄	C₂³×C₁₃	1	4	yes	—
763	C₄×D₄	C₂³×C₁₃	1	8	yes	—
764	C₄×D₄	C₂³×C₁₃	1	8	yes	—
765	C₄×D₄	C₂³×C₁₃	1	2	yes	—
766	C₄×D₄	C₂³×C₁₃	1	4	yes	—
767	C₄×D₄	C₂³×C₁₃	1	8	yes	—
768	C₄×D₄	C₂³×C₁₃	1	8	yes	—
769	C₄×D₄	C₂³×C₁₃	1	8	yes	—
770	C₄×D₄	C₂³×C₁₃	1	8	yes	—
771	C₄×D₄	C₂³×C₁₃	1	16	yes	—
772	C₄×D₄	C₂³×C₁₃	1	8	yes	—
773	C₄×D₄	C₂³×C₁₃	1	4	yes	—
774	C₄×D₄	C₂³×C₁₃	1	8	yes	—
775	C₄×D₄	C₂³×C₁₃	1	8	yes	—
776	C₄×D₄	C₂³×C₁₃	1	16	yes	—
777	C₄×D₄	C₂³×C₁₃	1	16	yes	—
778	#117	C₂³×C₁₃	1	4	yes	—
779	#117	C₂³×C₁₃	1	4	yes	—
780	#117	C₂³×C₁₃	1	8	yes	—
781	#117	C₂³×C₁₃	1	2	yes	—
782	#117	C₂³×C₁₃	1	4	yes	—
783	#117	C₂³×C₁₃	1	8	yes	—
784	#117	C₂³×C₁₃	1	4	yes	—
785	#117	C₂³×C₁₃	1	8	yes	—
786	#117	C₂³×C₁₃	1	4	yes	—
787	#117	C₂³×C₁₃	1	16	yes	—
788	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
789	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
790	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
791	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
792	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
793	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
794	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
795	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
796	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
797	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
798	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
799	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
800	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
801	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
802	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
803	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
804	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
805	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
806	C₂×C₄²	C₂³×C₁₃	1	8	yes	—
807	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
808	C₂×C₁₃	—	2	2	no	—
809	C₂×C₁₃	—	4	4	no	—
810	C₂×C₁₃	—	4	4	no	—
811	C₂×C₁₃	—	4	8	no	—
812	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
813	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
814	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
815	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
816	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
817	#41	—	2	16	no	—
818	#41	—	2	8	no	—
819	#41	—	4	8	no	—
820	#41	—	4	32	no	—
821	#41	—	4	16	no	—
822	#41	—	4	16	no	—
823	#41	—	4	16	no	—
824	#41	—	4	8	no	—
825	C₂×Q₈	—	2	8	no	—
826	C₂×Q₈	—	4	16	no	—
827	C₂×Q₈	—	4	16	no	—
828	C₂×Q₈	—	4	2	no	—
829	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
830	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
831	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
832	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
833	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
834	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
835	C₂×Q₈	C₂⁴×C₁₃	1	16	yes	—
836	C₂×D₄	—	2	4	no	—
837	C₂×D₄	—	4	16	no	—
838	C₂×D₄	—	4	8	no	—
839	C₂×D₄	—	4	16	no	—
840	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
841	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
842	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
843	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
844	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
845	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
846	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
847	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
848	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
849	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
850	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
851	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
852	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
853	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
854	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
855	C₂²×C₄	—	4	4	no	—
856	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
857	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
858	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
859	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
860	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
861	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
862	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
863	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
864	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
865	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
866	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
867	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
868	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
869	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
870	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
871	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
872	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
873	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
874	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
875	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
876	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
877	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
878	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
879	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
880	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
881	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
882	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
883	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
884	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
885	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
886	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
887	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
888	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
889	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
890	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
891	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
892	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
893	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
894	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
895	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
896	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
897	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
898	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
899	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
900	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
901	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
902	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
903	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
904	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
905	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
906	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
907	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
908	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
909	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
910	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
911	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
912	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
913	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
914	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
915	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
916	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
917	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
918	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
919	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
920	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
921	C₄²	C₂⁴×C₁₃	1	4	yes	—
922	C₄²	C₂⁴×C₁₃	1	2	yes	—
923	C₄²	C₂⁴×C₁₃	1	4	yes	—
924	C₄²	C₂⁴×C₁₃	1	8	yes	—
925	C₄²	C₂⁴×C₁₃	1	8	yes	—
926	C₄²	C₂⁴×C₁₃	1	4	yes	—
927	C₄²	C₂⁴×C₁₃	1	2	yes	—
928	C₄²	C₂⁴×C₁₃	1	4	yes	—
929	C₄²	C₂⁴×C₁₃	1	4	yes	—
930	C₄²	C₂⁴×C₁₃	1	8	yes	—
931	C₄²	C₂⁴×C₁₃	1	8	yes	—
932	C₁₃	#62931	1	1	yes	characteristic, direct product factor, Sylow
933	C₂³	—	2	4	no	—
934	C₂³	—	4	2	no	—
935	C₂³	—	4	2	no	—
936	C₂³	—	4	8	no	—
937	C₂³	—	4	8	no	—
938	C₂³	—	4	8	no	—
939	C₂³	C₂⁵×C₁₃	1	4	yes	—
940	C₂³	C₂⁵×C₁₃	1	8	yes	—
941	C₂³	C₂⁵×C₁₃	1	4	yes	—
942	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
943	Q₈	—	2	16	no	—
944	Q₈	—	2	4	no	—
945	Q₈	—	2	8	no	—
946	Q₈	—	2	4	no	—
947	Q₈	—	4	16	no	—
948	Q₈	—	4	2	no	—
949	Q₈	—	4	4	no	—
950	D₄	—	2	16	no	—
951	D₄	—	2	8	no	—
952	D₄	—	2	8	no	—
953	D₄	—	2	8	no	—
954	D₄	—	2	4	no	—
955	D₄	—	2	8	no	—
956	D₄	—	4	16	no	—
957	D₄	—	4	8	no	—
958	D₄	—	4	8	no	—
959	D₄	—	4	4	no	—
960	D₄	—	4	8	no	—
961	D₄	—	4	4	no	—
962	D₄	—	4	8	no	—
963	D₄	—	4	8	no	—
964	D₄	—	4	16	no	—
965	C₂×C₄	—	2	8	no	—
966	C₂×C₄	—	2	16	no	—
967	C₂×C₄	—	2	8	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	8	no	—
970	C₂×C₄	—	2	8	no	—
971	C₂×C₄	—	4	4	no	—
972	C₂×C₄	—	4	2	no	—
973	C₂×C₄	—	4	8	no	—
974	C₂×C₄	—	4	8	no	—
975	C₂×C₄	—	4	2	no	—
976	C₂×C₄	—	4	1	no	—
977	C₂×C₄	—	4	4	no	—
978	C₂×C₄	—	4	2	no	—
979	C₂×C₄	—	4	16	no	—
980	C₂×C₄	—	4	16	no	—
981	C₂×C₄	—	4	8	no	—
982	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
983	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
984	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
985	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
986	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
987	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
988	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
989	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
990	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
991	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
992	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
993	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
994	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
995	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
996	C₂²	—	2	1	no	—
997	C₂²	—	2	1	no	—
998	C₂²	—	2	4	no	—
999	C₂²	—	2	8	no	—
1000	C₂²	—	2	4	no	—
1001	C₂²	—	2	4	no	—
1002	C₂²	—	2	4	no	—
1003	C₂²	—	2	8	no	—
1004	C₂²	—	2	4	no	—
1005	C₂²	—	2	8	no	—
1006	C₂²	—	2	4	no	—
1007	C₂²	—	8	4	no	—
1008	C₂²	—	16	8	no	—
1009	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1010	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1011	C₄	—	2	8	no	—
1012	C₄	—	2	4	no	—
1013	C₄	—	2	8	no	—
1014	C₄	—	2	1	no	—
1015	C₄	—	2	4	no	—
1016	C₄	—	2	4	no	—
1017	C₄	—	2	4	no	—
1018	C₄	—	2	2	no	—
1019	C₄	—	2	4	no	—
1020	C₄	—	2	2	no	—
1021	C₄	—	2	2	no	—
1022	C₄	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
1023	C₄	C₁₃×#585	1	2	yes	—
1024	C₂	—	2	2	no	—
1025	C₂	—	4	4	no	—
1026	C₂	—	4	8	no	—
1027	C₂	—	4	4	no	—
1028	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1029	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1030	C₂	C₁₃×2₋¹⁺⁶	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3562	C₂	semidirect
2. C₁₃×#3561	C₂	semidirect
3. C₁₃×#3560	C₂	semidirect
4. C₁₃×#3552	C₂	semidirect
5. C₁₃×#3546	C₂	semidirect
6. C₁₃×#3536	C₂	semidirect
7. C₁₃×#3514	C₂	semidirect
8. C₁₃×#3511	C₂	semidirect
9. C₁₃×#3500	C₂	semidirect
10. C₁₃×#3499	C₂	semidirect
11. C₁₃×#3497	C₂	semidirect
12. C₁₃×#3496	C₂	semidirect
13. C₁₃×#3494	C₂	semidirect
14. C₁₃×#3480	C₂	semidirect
15. C₂×C₁₃×#556	C₂	semidirect
16. C₁₃×#3461	C₂	semidirect
17. C₁₃×#3460	C₂	semidirect
18. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
20. C₁₃×#563	C₂²	semidirect
21. C₁₃×#562	C₂²	semidirect
22. C₁₃×#560	C₂²	semidirect
23. C₁₃×#559	C₂²	semidirect
24. C₁₃×#559	C₂²	semidirect
25. C₁₃×#557	C₂²	semidirect
26. C₁₃×#556	C₂²	semidirect
27. C₁₃×#556	C₂²	semidirect
28. C₁₃×#556	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
30. C₁₃×#556	C₂²	semidirect
31. C₁₃×#555	C₂²	semidirect
32. C₁₃×#554	C₂²	semidirect
33. C₁₃×#553	C₂²	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#553	C₂²	semidirect
36. C₁₃×#553	C₂²	semidirect
37. C₁₃×#551	C₂²	semidirect
38. C₁₃×#551	C₂²	semidirect
39. C₁₃×#550	C₂²	semidirect
40. C₁₃×#550	C₂²	semidirect
41. D₄×Q₈×C₁₃	C₂²	semidirect
42. D₄×Q₈×C₁₃	C₂²	semidirect
43. D₄×Q₈×C₁₃	C₂²	semidirect
44. C₁₃×#548	C₂²	semidirect
45. C₁₃×#548	C₂²	semidirect
46. C₁₃×#548	C₂²	semidirect
47. C₁₃×#548	C₂²	semidirect
48. C₁₃×#548	C₂²	semidirect
50. C₁₃×#547	C₂²	semidirect
51. C₁₃×#547	C₂²	semidirect
52. C₁₃×#547	C₂²	semidirect
53. C₁₃×#547	C₂²	semidirect
55. C₁₃×#546	C₂²	semidirect
56. C₁₃×#546	C₂²	semidirect
57. C₁₃×#546	C₂²	semidirect
58. C₁₃×#546	C₂²	semidirect
59. C₁₃×#546	C₂²	semidirect
61. C₁₃×#544	C₂²	semidirect
62. C₁₃×#544	C₂²	semidirect
63. C₁₃×#543	C₂²	semidirect
64. C₁₃×#542	C₂²	semidirect
65. C₁₃×#542	C₂²	semidirect
66. C₁₃×#542	C₂²	semidirect
67. C₁₃×#542	C₂²	semidirect
68. C₁₃×#542	C₂²	semidirect
69. C₁₃×#541	C₂²	semidirect
70. C₁₃×#540	C₂²	semidirect
71. C₁₃×#540	C₂²	semidirect
72. C₁₃×#539	C₂²	semidirect
73. C₁₃×#539	C₂²	semidirect
74. C₁₃×#538	C₂²	semidirect
75. C₁₃×#538	C₂²	semidirect
76. C₁₃×#538	C₂²	semidirect
77. C₁₃×#538	C₂²	semidirect
79. C₁₃×#537	C₂²	semidirect
80. C₁₃×#537	C₂²	semidirect
81. C₁₃×#537	C₂²	semidirect
82. C₁₃×#536	C₂²	semidirect
83. C₁₃×#536	C₂²	semidirect
84. C₁₃×#536	C₂²	semidirect
86. C₁₃×#535	C₂²	semidirect
87. C₁₃×#535	C₂²	semidirect
89. C₁₃×#533	C₂²	semidirect
91. C₁₃×#532	C₂²	semidirect
92. C₁₃×#532	C₂²	semidirect
93. C₁₃×#532	C₂²	semidirect
94. C₁₃×#532	C₂²	semidirect
95. C₁₃×#532	C₂²	semidirect
96. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
97. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
98. C₁₃×#529	C₂²	semidirect
99. C₁₃×#529	C₂²	semidirect
100. C₁₃×#529	C₂²	semidirect
101. C₁₃×#529	C₂²	semidirect
102. C₁₃×#529	C₂²	semidirect
103. C₂×C₁₃×#126	C₂²	semidirect
105. C₂×C₁₃×#124	C₂²	semidirect
106. C₁₃×#525	C₂²	semidirect
107. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
109. C₁₃×#520	C₂²	semidirect
110. C₁₃×#518	C₂²	semidirect
111. C₄×C₁₃×#41	C₂²	semidirect
112. C₄×C₁₃×#41	C₂²	semidirect
113. C₄×C₁₃×#41	C₂²	semidirect
114. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
115. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
117. C₂×C₁₃×#117	C₂²	semidirect
300. #62931	C₁₃	direct (N × H)
418. #3562	C₂×C₁₃	semidirect
419. #3561	C₂×C₁₃	semidirect
420. #3560	C₂×C₁₃	semidirect
421. #3552	C₂×C₁₃	semidirect
422. #3546	C₂×C₁₃	semidirect
423. #3536	C₂×C₁₃	semidirect
424. #3514	C₂×C₁₃	semidirect
425. #3511	C₂×C₁₃	semidirect
426. #3500	C₂×C₁₃	semidirect
427. #3499	C₂×C₁₃	semidirect
428. #3497	C₂×C₁₃	semidirect
429. #3496	C₂×C₁₃	semidirect
430. #3494	C₂×C₁₃	semidirect
431. #3480	C₂×C₁₃	semidirect
432. C₂×#556	C₂×C₁₃	semidirect
433. #3461	C₂×C₁₃	semidirect
434. #3460	C₂×C₁₃	semidirect
498. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
500. #563	C₂²×C₁₃	semidirect
501. #562	C₂²×C₁₃	semidirect
502. #560	C₂²×C₁₃	semidirect
503. #559	C₂²×C₁₃	semidirect
504. #559	C₂²×C₁₃	semidirect
505. #557	C₂²×C₁₃	semidirect
506. #556	C₂²×C₁₃	semidirect
507. #556	C₂²×C₁₃	semidirect
508. #556	C₂²×C₁₃	semidirect
509. #556	C₂²×C₁₃	semidirect
510. #556	C₂²×C₁₃	semidirect
511. #555	C₂²×C₁₃	semidirect
512. #554	C₂²×C₁₃	semidirect
513. #553	C₂²×C₁₃	semidirect
514. #553	C₂²×C₁₃	semidirect
515. #553	C₂²×C₁₃	semidirect
516. #553	C₂²×C₁₃	semidirect
517. #551	C₂²×C₁₃	semidirect
518. #551	C₂²×C₁₃	semidirect
519. #550	C₂²×C₁₃	semidirect
520. #550	C₂²×C₁₃	semidirect
521. D₄×Q₈	C₂²×C₁₃	semidirect
522. D₄×Q₈	C₂²×C₁₃	semidirect
523. D₄×Q₈	C₂²×C₁₃	semidirect
524. #548	C₂²×C₁₃	semidirect
525. #548	C₂²×C₁₃	semidirect
526. #548	C₂²×C₁₃	semidirect
527. #548	C₂²×C₁₃	semidirect
528. #548	C₂²×C₁₃	semidirect
530. #547	C₂²×C₁₃	semidirect
531. #547	C₂²×C₁₃	semidirect
532. #547	C₂²×C₁₃	semidirect
533. #547	C₂²×C₁₃	semidirect
535. #546	C₂²×C₁₃	semidirect
536. #546	C₂²×C₁₃	semidirect
537. #546	C₂²×C₁₃	semidirect
538. #546	C₂²×C₁₃	semidirect
539. #546	C₂²×C₁₃	semidirect
541. #544	C₂²×C₁₃	semidirect
542. #544	C₂²×C₁₃	semidirect
543. #543	C₂²×C₁₃	semidirect
544. #542	C₂²×C₁₃	semidirect
545. #542	C₂²×C₁₃	semidirect
546. #542	C₂²×C₁₃	semidirect
547. #542	C₂²×C₁₃	semidirect
548. #542	C₂²×C₁₃	semidirect
549. #541	C₂²×C₁₃	semidirect
550. #540	C₂²×C₁₃	semidirect
551. #540	C₂²×C₁₃	semidirect
552. #539	C₂²×C₁₃	semidirect
553. #539	C₂²×C₁₃	semidirect
554. #538	C₂²×C₁₃	semidirect
555. #538	C₂²×C₁₃	semidirect
556. #538	C₂²×C₁₃	semidirect
557. #538	C₂²×C₁₃	semidirect
559. #537	C₂²×C₁₃	semidirect
560. #537	C₂²×C₁₃	semidirect
561. #537	C₂²×C₁₃	semidirect
562. #536	C₂²×C₁₃	semidirect
563. #536	C₂²×C₁₃	semidirect
564. #536	C₂²×C₁₃	semidirect
566. #535	C₂²×C₁₃	semidirect
567. #535	C₂²×C₁₃	semidirect
569. #533	C₂²×C₁₃	semidirect
571. #532	C₂²×C₁₃	semidirect
572. #532	C₂²×C₁₃	semidirect
573. #532	C₂²×C₁₃	semidirect
574. #532	C₂²×C₁₃	semidirect
575. #532	C₂²×C₁₃	semidirect
576. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
577. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
578. #529	C₂²×C₁₃	semidirect
579. #529	C₂²×C₁₃	semidirect
580. #529	C₂²×C₁₃	semidirect
581. #529	C₂²×C₁₃	semidirect
582. #529	C₂²×C₁₃	semidirect
583. C₂×#126	C₂²×C₁₃	semidirect
585. C₂×#124	C₂²×C₁₃	semidirect
586. #525	C₂²×C₁₃	semidirect
587. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
589. #520	C₂²×C₁₃	semidirect
590. #518	C₂²×C₁₃	semidirect
591. C₄×#41	C₂²×C₁₃	semidirect
592. C₄×#41	C₂²×C₁₃	semidirect
593. C₄×#41	C₂²×C₁₃	semidirect
594. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
595. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
597. C₂×#117	C₂²×C₁₃	semidirect
932. C₁₃	#62931	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×#3560	2
C₁₃×#3552	2
C₁₃×#3546	2
C₁₃×#3536	2
C₁₃×#3514	2
C₁₃×#3511	2
C₁₃×#3500	2
C₁₃×#3499	2
C₁₃×#3497	2
C₁₃×#3496	2
C₁₃×#3494	2
C₁₃×#3480	2
C₂×C₁₃×#556	2
C₁₃×#3461	2
C₁₃×#3460	2
#62931	13

Subgroups — C13×#62931 #15749270

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62931 #15749270