Subgroups — C₁₃×#61676 #15748015

Order 3328.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3551	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3320	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3312	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3307	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3218	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3202	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3200	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3111	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3013	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3011	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2980	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
22	C₂×C₁₃×#137	C₂²	1	2	yes	—
23	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#135	C₂²	1	2	yes	—
26	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
28	C₁₃×#563	—	2	1	no	—
29	C₁₃×#560	—	2	1	no	—
30	C₁₃×#555	—	2	1	no	—
31	C₁₃×#553	C₂²	1	2	yes	—
32	C₁₃×#552	C₂²	1	2	yes	—
33	C₁₃×#551	—	2	1	no	—
34	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
35	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
36	C₁₃×#548	C₂²	1	2	yes	—
37	C₁₃×#547	—	2	2	no	—
38	C₁₃×#547	—	2	2	no	—
39	C₁₃×#547	C₂²	1	2	yes	—
40	C₁₃×#547	C₂²	1	2	yes	complemented
41	C₁₃×#546	C₂²	1	2	yes	—
42	C₁₃×#540	—	2	2	no	—
43	C₁₃×#538	—	2	2	no	—
44	C₁₃×#537	C₂²	1	2	yes	—
45	C₁₃×#536	—	2	1	no	—
46	C₁₃×#536	—	2	1	no	—
47	C₁₃×#536	C₂²	1	1	yes	characteristic
48	C₁₃×#536	C₂²	1	1	yes	characteristic
49	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#535	C₂²	1	1	yes	characteristic
51	C₁₃×#532	—	2	1	no	—
52	C₁₃×#532	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×C₄⋊Q₈	—	2	1	no	—
54	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#529	C₂²	1	2	yes	—
56	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#497	C₂²	1	2	yes	—
58	C₁₃×#497	C₂²	1	2	yes	—
59	C₁₃×#491	C₂²	1	2	yes	complemented
60	C₁₃×#491	C₂²	1	2	yes	complemented
61	C₁₃×#485	C₂²	1	2	yes	—
62	C₁₃×#485	C₂²	1	2	yes	complemented
63	C₁₃×#485	C₂²	1	2	yes	complemented
64	C₁₃×#484	C₂²	1	2	yes	complemented
65	C₁₃×#483	C₂²	1	2	yes	complemented
66	C₁₃×#482	C₂²	1	2	yes	—
67	C₁₃×#479	C₂²	1	2	yes	complemented
68	C₁₃×#478	C₂²	1	2	yes	complemented
69	C₁₃×#470	C₂²	1	2	yes	—
70	C₁₃×#470	C₂²	1	2	yes	complemented
71	C₁₃×#468	C₂²	1	2	yes	—
72	C₁₃×#468	C₂²	1	2	yes	—
73	C₁₃×#467	C₂²	1	2	yes	—
74	C₁₃×#467	C₂²	1	2	yes	complemented
75	C₁₃×#465	C₂²	1	2	yes	—
76	C₁₃×#465	C₂²	1	2	yes	—
77	C₁₃×#464	C₂²	1	2	yes	—
78	C₁₃×#463	C₂²	1	2	yes	—
79	C₁₃×#462	C₂²	1	2	yes	complemented
80	C₁₃×#462	C₂²	1	2	yes	complemented
81	C₁₃×#461	C₂²	1	2	yes	—
82	C₁₃×#461	C₂²	1	2	yes	—
83	C₁₃×#452	C₂²	1	2	yes	—
84	C₁₃×#452	C₂²	1	2	yes	—
85	C₁₃×#452	C₂²	1	2	yes	—
86	C₁₃×#452	C₂²	1	2	yes	complemented
87	C₁₃×#452	C₂²	1	2	yes	complemented
88	C₁₃×#451	C₂²	1	2	yes	—
89	C₁₃×#451	C₂²	1	2	yes	complemented
90	C₁₃×#451	C₂²	1	2	yes	complemented
91	C₁₃×#451	C₂²	1	2	yes	complemented
92	C₁₃×#451	C₂²	1	2	yes	complemented
93	C₁₃×#450	C₂²	1	2	yes	—
94	C₁₃×#449	C₂²	1	2	yes	—
95	C₁₃×#449	C₂²	1	2	yes	—
96	C₁₃×#449	C₂²	1	2	yes	—
97	C₁₃×#448	C₂²	1	2	yes	—
98	C₁₃×#448	C₂²	1	2	yes	—
99	C₁₃×#448	C₂²	1	2	yes	—
100	C₁₃×#448	C₂²	1	2	yes	—
101	C₁₃×#442	C₂²	1	2	yes	—
102	C₁₃×#441	C₂²	1	2	yes	complemented
103	C₁₃×#440	C₂²	1	2	yes	—
104	C₁₃×#440	C₂²	1	2	yes	complemented
105	C₁₃×#435	C₂²	1	2	yes	—
106	C₁₃×#435	C₂²	1	2	yes	—
107	C₁₃×#435	C₂²	1	2	yes	complemented
108	C₁₃×#435	C₂²	1	2	yes	complemented
109	C₁₃×#432	C₂²	1	2	yes	complemented
110	C₁₃×#419	C₂²	1	1	yes	characteristic
111	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#417	C₂²	1	2	yes	complemented
113	C₁₃×#416	C₂²	1	1	yes	characteristic
114	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
116	C₁₃×#408	C₂²	1	1	yes	characteristic
117	C₁₃×#408	C₂²	1	1	yes	characteristic
118	C₁₃×#408	C₂²	1	2	yes	complemented
119	C₁₃×2₋¹⁺⁴	—	4	2	no	—
120	C₁₃×2₋¹⁺⁴	—	4	2	no	—
121	C₁₃×2₋¹⁺⁴	—	4	2	no	—
122	C₁₃×2₋¹⁺⁴	—	4	2	no	—
123	C₂×C₁₃×#41	—	2	1	no	—
124	C₂×C₁₃×#41	—	2	1	no	—
125	C₂×C₁₃×#41	—	2	1	no	—
126	C₂×C₁₃×#41	—	2	1	no	—
127	C₂×C₁₃×#41	—	2	2	no	—
128	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
129	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
130	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
131	C₂×C₁₃×#41	C₂³	1	2	yes	—
132	C₂×C₁₃×#41	C₂³	1	2	yes	—
133	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
134	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
135	C₂²×Q₈×C₁₃	—	2	1	no	—
136	C₂²×Q₈×C₁₃	—	2	1	no	—
137	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
138	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
140	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
141	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₁₃×#137	—	4	2	no	—
145	C₁₃×#137	—	4	4	no	—
146	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
147	C₁₃×#135	—	4	4	no	—
148	C₂×C₁₃×Q₁₆	—	4	2	no	—
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	—	4	2	no	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
161	C₂×C₁₃×D₈	C₂³	1	2	yes	—
162	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
163	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
164	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
165	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
166	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
167	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
168	C₁₃×C₄⋊Q₈	—	2	1	no	—
169	C₁₃×C₄⋊Q₈	—	2	1	no	—
170	C₁₃×C₄⋊Q₈	—	2	1	no	—
171	C₁₃×C₄⋊Q₈	—	2	2	no	—
172	C₁₃×C₄⋊Q₈	—	2	2	no	—
173	C₁₃×C₄⋊Q₈	—	2	1	no	—
174	C₁₃×C₄⋊Q₈	—	2	1	no	—
175	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
176	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
177	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
178	C₁₃×#127	—	2	1	no	—
179	C₁₃×#127	D₄	1	1	yes	characteristic
180	C₁₃×#126	—	2	2	no	—
181	C₁₃×#126	—	2	2	no	—
182	C₁₃×#126	—	2	2	no	—
183	C₁₃×#125	—	2	2	no	—
184	C₁₃×#125	C₂³	1	2	yes	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	—	2	2	no	—
190	C₁₃×#124	D₄	1	1	yes	characteristic
191	C₁₃×#124	D₄	1	1	yes	characteristic
192	C₁₃×#124	C₂³	1	2	yes	—
193	C₁₃×#123	—	2	1	no	—
194	C₁₃×#123	—	2	1	no	—
195	C₁₃×#123	—	2	1	no	—
196	C₁₃×#123	—	2	1	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	no	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	—	2	2	no	—
226	C₁₃×#121	—	2	2	no	—
227	C₁₃×#121	D₄	1	2	yes	—
228	C₁₃×#121	D₄	1	2	yes	—
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₁₃×#121	C₂³	1	2	yes	—
231	C₁₃×#121	C₂³	1	2	yes	—
232	C₁₃×#120	—	2	1	no	—
233	C₁₃×#120	—	2	1	no	—
234	C₁₃×#120	—	2	2	no	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	2	no	—
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₄×D₄×C₁₃	C₂³	1	2	yes	—
245	C₄×D₄×C₁₃	C₂³	1	2	yes	—
246	C₄×D₄×C₁₃	C₂³	1	2	yes	—
247	C₁₃×#117	—	2	2	no	—
248	C₁₃×#117	—	2	1	no	—
249	C₁₃×#117	—	2	2	no	—
250	C₁₃×#117	C₂³	1	1	yes	characteristic
251	C₁₃×#117	C₂³	1	1	yes	characteristic
252	C₁₃×#117	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
254	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
255	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
257	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
258	C₂×C₄²×C₁₃	—	2	1	no	—
259	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
260	C₁₃×#107	C₂³	1	2	yes	—
261	C₁₃×#107	C₂³	1	2	yes	—
262	C₁₃×#106	C₂³	1	2	yes	—
263	C₁₃×#106	C₂³	1	2	yes	—
264	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
265	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
266	C₁₃×#103	C₂³	1	2	yes	—
267	C₁₃×#103	C₂³	1	2	yes	—
268	C₁₃×#103	C₂³	1	2	yes	—
269	C₁₃×#103	C₂³	1	2	yes	—
270	C₁₃×#103	C₂³	1	2	yes	—
271	C₁₃×#103	C₂³	1	2	yes	—
272	C₁₃×#103	C₂³	1	2	yes	—
273	C₁₃×#103	C₂³	1	2	yes	—
274	C₁₃×#103	C₂³	1	2	yes	—
275	C₁₃×#103	C₂³	1	2	yes	—
276	C₁₃×#103	C₂³	1	2	yes	—
277	C₁₃×#103	C₂³	1	2	yes	—
278	C₁₃×#102	C₂³	1	2	yes	—
279	C₁₃×#102	C₂³	1	2	yes	—
280	C₁₃×#102	C₂³	1	2	yes	—
281	C₁₃×#102	C₂³	1	2	yes	—
282	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
284	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
286	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
287	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
288	C₁₃×#97	C₂³	1	2	yes	—
289	C₁₃×#97	C₂³	1	2	yes	—
290	#61676	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
291	C₂⁴×C₁₃	—	2	1	no	—
292	C₁₃×#41	—	2	2	no	—
293	C₁₃×#41	—	2	2	no	—
294	C₁₃×#41	—	2	4	no	—
295	C₁₃×#41	—	2	2	no	—
296	C₁₃×#41	—	2	2	no	—
297	C₁₃×#41	—	4	1	no	—
298	C₁₃×#41	—	4	1	no	—
299	C₁₃×#41	—	4	1	no	—
300	C₁₃×#41	—	4	1	no	—
301	C₁₃×#41	—	4	1	no	—
302	C₁₃×#41	—	4	1	no	—
303	C₁₃×#41	—	4	2	no	—
304	C₁₃×#41	—	4	4	no	—
305	C₁₃×#41	—	4	4	no	—
306	C₁₃×#41	—	4	2	no	—
307	C₁₃×#41	—	4	2	no	—
308	C₁₃×#41	—	4	4	no	—
309	C₁₃×#41	—	4	4	no	—
310	C₁₃×#41	—	4	8	no	—
311	C₂×Q₈×C₁₃	—	2	1	no	—
312	C₂×Q₈×C₁₃	—	2	1	no	—
313	C₂×Q₈×C₁₃	—	2	2	no	—
314	C₂×Q₈×C₁₃	—	2	1	no	—
315	C₂×Q₈×C₁₃	—	2	1	no	—
316	C₂×Q₈×C₁₃	—	2	1	no	—
317	C₂×Q₈×C₁₃	—	2	2	no	—
318	C₂×Q₈×C₁₃	—	2	2	no	—
319	C₂×Q₈×C₁₃	—	2	4	no	—
320	C₂×Q₈×C₁₃	—	4	2	no	—
321	C₂×Q₈×C₁₃	—	4	1	no	—
322	C₂×Q₈×C₁₃	—	4	1	no	—
323	C₂×Q₈×C₁₃	—	4	1	no	—
324	C₂×Q₈×C₁₃	—	4	1	no	—
325	C₂×Q₈×C₁₃	—	4	1	no	—
326	C₂×Q₈×C₁₃	—	4	1	no	—
327	C₂×Q₈×C₁₃	—	4	4	no	—
328	C₂×Q₈×C₁₃	—	4	4	no	—
329	C₂×Q₈×C₁₃	—	4	1	no	—
330	C₂×Q₈×C₁₃	—	4	1	no	—
331	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
336	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
337	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	1	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	2	no	—
345	C₂×D₄×C₁₃	—	2	2	no	—
346	C₂×D₄×C₁₃	—	2	1	no	—
347	C₂×D₄×C₁₃	—	4	1	no	—
348	C₂×D₄×C₁₃	—	4	1	no	—
349	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
350	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
351	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
353	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
354	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
355	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
357	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	1	no	—
360	C₂²×C₄×C₁₃	—	2	1	no	—
361	C₂²×C₄×C₁₃	—	2	1	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	2	1	no	—
364	C₂²×C₄×C₁₃	—	2	2	no	—
365	C₂²×C₄×C₁₃	—	2	1	no	—
366	C₂²×C₄×C₁₃	—	2	2	no	—
367	C₂²×C₄×C₁₃	—	2	1	no	—
368	C₂²×C₄×C₁₃	—	2	1	no	—
369	C₂²×C₄×C₁₃	—	2	2	no	—
370	C₂²×C₄×C₁₃	—	2	2	no	—
371	C₂²×C₄×C₁₃	—	2	2	no	—
372	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₁₃×Q₁₆	—	2	4	no	—
378	C₁₃×Q₁₆	—	4	2	no	—
379	C₁₃×Q₁₆	—	4	2	no	—
380	C₁₃×Q₁₆	—	4	2	no	—
381	C₁₃×Q₁₆	—	4	2	no	—
382	C₁₃×SD₁₆	—	2	4	no	—
383	C₁₃×SD₁₆	—	2	4	no	—
384	C₁₃×SD₁₆	—	4	2	no	—
385	C₁₃×SD₁₆	—	4	2	no	—
386	C₁₃×SD₁₆	—	4	2	no	—
387	C₁₃×SD₁₆	—	4	2	no	—
388	C₁₃×D₈	—	2	4	no	—
389	C₁₃×M₁₆	—	4	1	no	—
390	C₁₃×M₁₆	—	4	1	no	—
391	C₁₃×M₁₆	—	4	2	no	—
392	C₂×C₈×C₁₃	—	4	1	no	—
393	C₂×C₈×C₁₃	—	4	1	no	—
394	C₂×C₈×C₁₃	—	4	2	no	—
395	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
396	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
397	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
398	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	2	no	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	2	2	no	—
412	C₁₃×C₄⋊C₄	—	2	2	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	2	no	—
415	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
416	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
418	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
419	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	1	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
438	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₄²×C₁₃	—	2	1	no	—
442	C₄²×C₁₃	—	2	2	no	—
443	C₄²×C₁₃	—	2	1	no	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	—	2	1	no	—
446	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
448	C₄²×C₁₃	C₂⁴	1	2	yes	—
449	#3551	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3499	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3320	C₂×C₁₃	1	2	yes	complemented
452	#3315	C₂×C₁₃	1	2	yes	complemented
453	#3312	C₂×C₁₃	1	2	yes	complemented
454	#3307	C₂×C₁₃	1	2	yes	complemented
455	#3270	C₂×C₁₃	1	2	yes	complemented
456	#3269	C₂×C₁₃	1	2	yes	complemented
457	#3267	C₂×C₁₃	1	2	yes	complemented
458	#3266	C₂×C₁₃	1	2	yes	complemented
459	#3218	C₂×C₁₃	1	2	yes	complemented
460	#3202	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3201	C₂×C₁₃	1	2	yes	complemented
462	#3200	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3111	C₂×C₁₃	1	2	yes	complemented
464	#3013	C₂×C₁₃	1	2	yes	complemented
465	#3011	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3010	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#2980	C₂×C₁₃	1	1	yes	characteristic, complemented
468	C₂³×C₁₃	—	2	1	no	—
469	C₂³×C₁₃	—	2	2	no	—
470	C₂³×C₁₃	—	8	1	no	—
471	C₂³×C₁₃	—	8	2	no	—
472	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
473	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
474	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
475	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
476	Q₈×C₁₃	—	2	1	no	—
477	Q₈×C₁₃	—	2	2	no	—
478	Q₈×C₁₃	—	2	1	no	—
479	Q₈×C₁₃	—	2	1	no	—
480	Q₈×C₁₃	—	2	2	no	—
481	Q₈×C₁₃	—	2	2	no	—
482	Q₈×C₁₃	—	2	2	no	—
483	Q₈×C₁₃	—	2	1	no	—
484	Q₈×C₁₃	—	2	1	no	—
485	Q₈×C₁₃	—	4	1	no	—
486	Q₈×C₁₃	—	4	1	no	—
487	Q₈×C₁₃	—	4	4	no	—
488	Q₈×C₁₃	—	4	2	no	—
489	Q₈×C₁₃	—	4	2	no	—
490	Q₈×C₁₃	—	4	2	no	—
491	Q₈×C₁₃	—	4	2	no	—
492	Q₈×C₁₃	—	8	1	no	—
493	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
494	D₄×C₁₃	—	2	4	no	—
495	D₄×C₁₃	—	2	1	no	—
496	D₄×C₁₃	—	2	2	no	—
497	D₄×C₁₃	—	2	2	no	—
498	D₄×C₁₃	—	4	2	no	—
499	D₄×C₁₃	—	4	2	no	—
500	D₄×C₁₃	—	4	1	no	—
501	D₄×C₁₃	—	4	1	no	—
502	D₄×C₁₃	—	4	2	no	—
503	D₄×C₁₃	—	4	1	no	—
504	D₄×C₁₃	—	4	1	no	—
505	D₄×C₁₃	—	4	2	no	—
506	D₄×C₁₃	—	4	4	no	—
507	D₄×C₁₃	—	4	2	no	—
508	D₄×C₁₃	—	8	1	no	—
509	D₄×C₁₃	—	8	2	no	—
510	D₄×C₁₃	—	8	2	no	—
511	D₄×C₁₃	—	8	2	no	—
512	D₄×C₁₃	—	8	2	no	—
513	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
514	C₂×C₄×C₁₃	—	2	4	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	1	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	1	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	2	no	—
525	C₂×C₄×C₁₃	—	2	2	no	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	1	no	—
530	C₂×C₄×C₁₃	—	2	2	no	—
531	C₂×C₄×C₁₃	—	4	2	no	—
532	C₂×C₄×C₁₃	—	4	2	no	—
533	C₂×C₄×C₁₃	—	4	4	no	—
534	C₂×C₄×C₁₃	—	4	2	no	—
535	C₂×C₄×C₁₃	—	4	4	no	—
536	C₂×C₄×C₁₃	—	4	2	no	—
537	C₂×C₄×C₁₃	—	4	2	no	—
538	C₂×C₄×C₁₃	—	4	4	no	—
539	C₂×C₄×C₁₃	—	4	2	no	—
540	C₂×C₄×C₁₃	—	4	2	no	—
541	C₂×C₄×C₁₃	—	8	2	no	—
542	C₂×C₄×C₁₃	—	8	2	no	—
543	C₂×C₄×C₁₃	—	8	2	no	—
544	C₂×C₄×C₁₃	—	8	1	no	—
545	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
546	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
547	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
548	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
550	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
552	C₈×C₁₃	—	2	2	no	—
553	C₈×C₁₃	—	2	2	no	—
554	C₈×C₁₃	—	2	2	no	—
555	C₈×C₁₃	—	2	2	no	—
556	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
557	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
558	C₂×#137	C₂²×C₁₃	1	2	yes	—
559	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
560	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
561	C₂×#135	C₂²×C₁₃	1	2	yes	—
562	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
563	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
564	#563	—	2	1	no	—
565	#560	—	2	1	no	—
566	#555	—	2	1	no	—
567	#553	C₂²×C₁₃	1	2	yes	—
568	#552	C₂²×C₁₃	1	2	yes	—
569	#551	—	2	1	no	—
570	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
571	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
572	#548	C₂²×C₁₃	1	2	yes	—
573	#547	—	2	2	no	—
574	#547	—	2	2	no	—
575	#547	C₂²×C₁₃	1	2	yes	—
576	#547	C₂²×C₁₃	1	2	yes	complemented
577	#546	C₂²×C₁₃	1	2	yes	—
578	#540	—	2	2	no	—
579	#538	—	2	2	no	—
580	#537	C₂²×C₁₃	1	2	yes	—
581	#536	—	2	1	no	—
582	#536	—	2	1	no	—
583	#536	C₂²×C₁₃	1	1	yes	characteristic
584	#536	C₂²×C₁₃	1	1	yes	characteristic
585	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
586	#535	C₂²×C₁₃	1	1	yes	characteristic
587	#532	—	2	1	no	—
588	#532	C₂²×C₁₃	1	1	yes	characteristic
589	C₂×C₄⋊Q₈	—	2	1	no	—
590	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
591	#529	C₂²×C₁₃	1	2	yes	—
592	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
593	#497	C₂²×C₁₃	1	2	yes	—
594	#497	C₂²×C₁₃	1	2	yes	—
595	#491	C₂²×C₁₃	1	2	yes	complemented
596	#491	C₂²×C₁₃	1	2	yes	complemented
597	#485	C₂²×C₁₃	1	2	yes	—
598	#485	C₂²×C₁₃	1	2	yes	complemented
599	#485	C₂²×C₁₃	1	2	yes	complemented
600	#484	C₂²×C₁₃	1	2	yes	complemented
601	#483	C₂²×C₁₃	1	2	yes	complemented
602	#482	C₂²×C₁₃	1	2	yes	—
603	#479	C₂²×C₁₃	1	2	yes	complemented
604	#478	C₂²×C₁₃	1	2	yes	complemented
605	#470	C₂²×C₁₃	1	2	yes	—
606	#470	C₂²×C₁₃	1	2	yes	complemented
607	#468	C₂²×C₁₃	1	2	yes	—
608	#468	C₂²×C₁₃	1	2	yes	—
609	#467	C₂²×C₁₃	1	2	yes	—
610	#467	C₂²×C₁₃	1	2	yes	complemented
611	#465	C₂²×C₁₃	1	2	yes	—
612	#465	C₂²×C₁₃	1	2	yes	—
613	#464	C₂²×C₁₃	1	2	yes	—
614	#463	C₂²×C₁₃	1	2	yes	—
615	#462	C₂²×C₁₃	1	2	yes	complemented
616	#462	C₂²×C₁₃	1	2	yes	complemented
617	#461	C₂²×C₁₃	1	2	yes	—
618	#461	C₂²×C₁₃	1	2	yes	—
619	#452	C₂²×C₁₃	1	2	yes	—
620	#452	C₂²×C₁₃	1	2	yes	—
621	#452	C₂²×C₁₃	1	2	yes	—
622	#452	C₂²×C₁₃	1	2	yes	complemented
623	#452	C₂²×C₁₃	1	2	yes	complemented
624	#451	C₂²×C₁₃	1	2	yes	—
625	#451	C₂²×C₁₃	1	2	yes	complemented
626	#451	C₂²×C₁₃	1	2	yes	complemented
627	#451	C₂²×C₁₃	1	2	yes	complemented
628	#451	C₂²×C₁₃	1	2	yes	complemented
629	#450	C₂²×C₁₃	1	2	yes	—
630	#449	C₂²×C₁₃	1	2	yes	—
631	#449	C₂²×C₁₃	1	2	yes	—
632	#449	C₂²×C₁₃	1	2	yes	—
633	#448	C₂²×C₁₃	1	2	yes	—
634	#448	C₂²×C₁₃	1	2	yes	—
635	#448	C₂²×C₁₃	1	2	yes	—
636	#448	C₂²×C₁₃	1	2	yes	—
637	#442	C₂²×C₁₃	1	2	yes	—
638	#441	C₂²×C₁₃	1	2	yes	complemented
639	#440	C₂²×C₁₃	1	2	yes	—
640	#440	C₂²×C₁₃	1	2	yes	complemented
641	#435	C₂²×C₁₃	1	2	yes	—
642	#435	C₂²×C₁₃	1	2	yes	—
643	#435	C₂²×C₁₃	1	2	yes	complemented
644	#435	C₂²×C₁₃	1	2	yes	complemented
645	#432	C₂²×C₁₃	1	2	yes	complemented
646	#419	C₂²×C₁₃	1	1	yes	characteristic
647	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#417	C₂²×C₁₃	1	2	yes	complemented
649	#416	C₂²×C₁₃	1	1	yes	characteristic
650	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
652	#408	C₂²×C₁₃	1	1	yes	characteristic
653	#408	C₂²×C₁₃	1	1	yes	characteristic
654	#408	C₂²×C₁₃	1	2	yes	complemented
655	C₂²×C₁₃	—	2	2	no	—
656	C₂²×C₁₃	—	2	2	no	—
657	C₂²×C₁₃	—	2	2	no	—
658	C₂²×C₁₃	—	2	2	no	—
659	C₂²×C₁₃	—	2	2	no	—
660	C₂²×C₁₃	—	2	1	no	—
661	C₂²×C₁₃	—	2	2	no	—
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	—	2	2	no	—
664	C₂²×C₁₃	—	2	1	no	—
665	C₂²×C₁₃	—	4	2	no	—
666	C₂²×C₁₃	—	4	2	no	—
667	C₂²×C₁₃	—	4	2	no	—
668	C₂²×C₁₃	—	4	2	no	—
669	C₂²×C₁₃	—	16	2	no	—
670	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
671	C₄×C₁₃	—	2	2	no	—
672	C₄×C₁₃	—	2	2	no	—
673	C₄×C₁₃	—	2	1	no	—
674	C₄×C₁₃	—	2	2	no	—
675	C₄×C₁₃	—	2	2	no	—
676	C₄×C₁₃	—	2	1	no	—
677	C₄×C₁₃	—	2	1	no	—
678	C₄×C₁₃	—	4	2	no	—
679	C₄×C₁₃	—	4	2	no	—
680	C₄×C₁₃	—	4	2	no	—
681	C₄×C₁₃	—	4	1	no	—
682	C₄×C₁₃	—	4	1	no	—
683	C₄×C₁₃	—	4	2	no	—
684	C₄×C₁₃	—	4	2	no	—
685	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
686	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
687	2₋¹⁺⁴	—	4	2	no	—
688	2₋¹⁺⁴	—	4	2	no	—
689	2₋¹⁺⁴	—	4	2	no	—
690	2₋¹⁺⁴	—	4	2	no	—
691	C₂×#41	—	2	1	no	—
692	C₂×#41	—	2	1	no	—
693	C₂×#41	—	2	1	no	—
694	C₂×#41	—	2	1	no	—
695	C₂×#41	—	2	2	no	—
696	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
697	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
698	C₂×#41	C₂³×C₁₃	1	2	yes	—
699	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
700	C₂×#41	C₂³×C₁₃	1	2	yes	—
701	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
702	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
703	C₂²×Q₈	—	2	1	no	—
704	C₂²×Q₈	—	2	1	no	—
705	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
706	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
707	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
708	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
709	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
710	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
711	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
712	#137	—	4	2	no	—
713	#137	—	4	4	no	—
714	AGL(1,ℤ/8)	—	4	2	no	—
715	#135	—	4	4	no	—
716	C₂×Q₁₆	—	4	2	no	—
717	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
718	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
719	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
720	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
721	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
722	C₂×SD₁₆	—	4	2	no	—
723	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
724	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
725	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
726	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
727	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
728	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
729	C₂×D₈	C₂³×C₁₃	1	2	yes	—
730	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
731	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
732	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
733	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
734	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
735	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
736	C₄⋊Q₈	—	2	1	no	—
737	C₄⋊Q₈	—	2	1	no	—
738	C₄⋊Q₈	—	2	1	no	—
739	C₄⋊Q₈	—	2	2	no	—
740	C₄⋊Q₈	—	2	2	no	—
741	C₄⋊Q₈	—	2	1	no	—
742	C₄⋊Q₈	—	2	1	no	—
743	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
744	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
745	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
746	#127	—	2	1	no	—
747	#127	D₄×C₁₃	1	1	yes	characteristic
748	#126	—	2	2	no	—
749	#126	—	2	2	no	—
750	#126	—	2	2	no	—
751	#125	—	2	2	no	—
752	#125	C₂³×C₁₃	1	2	yes	—
753	#124	—	2	1	no	—
754	#124	—	2	1	no	—
755	#124	—	2	1	no	—
756	#124	—	2	1	no	—
757	#124	—	2	2	no	—
758	#124	D₄×C₁₃	1	1	yes	characteristic
759	#124	D₄×C₁₃	1	1	yes	characteristic
760	#124	C₂³×C₁₃	1	2	yes	—
761	#123	—	2	1	no	—
762	#123	—	2	1	no	—
763	#123	—	2	1	no	—
764	#123	—	2	1	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	#123	—	2	2	no	—
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	C₂²⋊Q₈	—	2	2	no	—
775	C₂²⋊Q₈	—	2	2	no	—
776	C₂²⋊Q₈	—	2	2	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
781	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
782	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
783	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
784	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
785	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
786	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
787	#121	—	2	2	no	—
788	#121	—	2	2	no	—
789	#121	—	2	2	no	—
790	#121	—	2	2	no	—
791	#121	—	2	2	no	—
792	#121	—	2	2	no	—
793	#121	—	2	2	no	—
794	#121	—	2	2	no	—
795	#121	D₄×C₁₃	1	2	yes	—
796	#121	D₄×C₁₃	1	2	yes	—
797	#121	C₂³×C₁₃	1	2	yes	—
798	#121	C₂³×C₁₃	1	2	yes	—
799	#121	C₂³×C₁₃	1	2	yes	—
800	#120	—	2	1	no	—
801	#120	—	2	1	no	—
802	#120	—	2	2	no	—
803	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
804	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	2	no	—
808	C₄×D₄	—	2	2	no	—
809	C₄×D₄	—	2	2	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	C₂³×C₁₃	1	2	yes	—
812	C₄×D₄	C₂³×C₁₃	1	2	yes	—
813	C₄×D₄	C₂³×C₁₃	1	2	yes	—
814	C₄×D₄	C₂³×C₁₃	1	2	yes	—
815	#117	—	2	2	no	—
816	#117	—	2	1	no	—
817	#117	—	2	2	no	—
818	#117	C₂³×C₁₃	1	1	yes	characteristic
819	#117	C₂³×C₁₃	1	1	yes	characteristic
820	#117	C₂³×C₁₃	1	1	yes	characteristic
821	C₂×C₄⋊C₄	—	2	2	no	—
822	C₂×C₄⋊C₄	—	2	2	no	—
823	C₂×C₄⋊C₄	—	2	2	no	—
824	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
825	C₂×C₂²⋊C₄	—	2	2	no	—
826	C₂×C₄²	—	2	1	no	—
827	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
828	#107	C₂³×C₁₃	1	2	yes	—
829	#107	C₂³×C₁₃	1	2	yes	—
830	#106	C₂³×C₁₃	1	2	yes	—
831	#106	C₂³×C₁₃	1	2	yes	—
832	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
833	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
834	#103	C₂³×C₁₃	1	2	yes	—
835	#103	C₂³×C₁₃	1	2	yes	—
836	#103	C₂³×C₁₃	1	2	yes	—
837	#103	C₂³×C₁₃	1	2	yes	—
838	#103	C₂³×C₁₃	1	2	yes	—
839	#103	C₂³×C₁₃	1	2	yes	—
840	#103	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	2	yes	—
842	#103	C₂³×C₁₃	1	2	yes	—
843	#103	C₂³×C₁₃	1	2	yes	—
844	#103	C₂³×C₁₃	1	2	yes	—
845	#103	C₂³×C₁₃	1	2	yes	—
846	#102	C₂³×C₁₃	1	2	yes	—
847	#102	C₂³×C₁₃	1	2	yes	—
848	#102	C₂³×C₁₃	1	2	yes	—
849	#102	C₂³×C₁₃	1	2	yes	—
850	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
851	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
852	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
853	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
854	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
855	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
856	#97	C₂³×C₁₃	1	2	yes	—
857	#97	C₂³×C₁₃	1	2	yes	—
858	C₂×C₁₃	—	4	1	no	—
859	C₂×C₁₃	—	4	2	no	—
860	C₂×C₁₃	—	4	1	no	—
861	C₂×C₁₃	—	4	1	no	—
862	C₂×C₁₃	—	4	2	no	—
863	C₂×C₁₃	—	8	2	no	—
864	C₂×C₁₃	#3484	1	1	yes	characteristic
865	C₂×C₁₃	#3586	1	2	yes	—
866	C₂⁴	—	2	1	no	—
867	#41	—	2	2	no	—
868	#41	—	2	2	no	—
869	#41	—	2	4	no	—
870	#41	—	2	2	no	—
871	#41	—	2	2	no	—
872	#41	—	4	1	no	—
873	#41	—	4	1	no	—
874	#41	—	4	1	no	—
875	#41	—	4	1	no	—
876	#41	—	4	1	no	—
877	#41	—	4	1	no	—
878	#41	—	4	2	no	—
879	#41	—	4	4	no	—
880	#41	—	4	4	no	—
881	#41	—	4	2	no	—
882	#41	—	4	2	no	—
883	#41	—	4	4	no	—
884	#41	—	4	4	no	—
885	#41	—	4	8	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	1	no	—
890	C₂×Q₈	—	2	1	no	—
891	C₂×Q₈	—	2	1	no	—
892	C₂×Q₈	—	2	2	no	—
893	C₂×Q₈	—	2	2	no	—
894	C₂×Q₈	—	2	4	no	—
895	C₂×Q₈	—	4	2	no	—
896	C₂×Q₈	—	4	1	no	—
897	C₂×Q₈	—	4	1	no	—
898	C₂×Q₈	—	4	1	no	—
899	C₂×Q₈	—	4	1	no	—
900	C₂×Q₈	—	4	1	no	—
901	C₂×Q₈	—	4	1	no	—
902	C₂×Q₈	—	4	4	no	—
903	C₂×Q₈	—	4	4	no	—
904	C₂×Q₈	—	4	1	no	—
905	C₂×Q₈	—	4	1	no	—
906	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
907	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
908	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
909	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
910	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
911	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
912	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
913	C₂×D₄	—	2	1	no	—
914	C₂×D₄	—	2	1	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	1	no	—
922	C₂×D₄	—	4	1	no	—
923	C₂×D₄	—	4	1	no	—
924	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
925	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
926	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
927	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
928	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
929	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
930	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
931	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
932	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
933	C₂²×C₄	—	2	1	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	1	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	1	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	1	no	—
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	2	no	—
947	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
948	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
949	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
950	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
951	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
952	Q₁₆	—	2	4	no	—
953	Q₁₆	—	4	2	no	—
954	Q₁₆	—	4	2	no	—
955	Q₁₆	—	4	2	no	—
956	Q₁₆	—	4	2	no	—
957	SD₁₆	—	2	4	no	—
958	SD₁₆	—	2	4	no	—
959	SD₁₆	—	4	2	no	—
960	SD₁₆	—	4	2	no	—
961	SD₁₆	—	4	2	no	—
962	SD₁₆	—	4	2	no	—
963	D₈	—	2	4	no	—
964	M₁₆	—	4	1	no	—
965	M₁₆	—	4	1	no	—
966	M₁₆	—	4	2	no	—
967	C₂×C₈	—	4	1	no	—
968	C₂×C₈	—	4	1	no	—
969	C₂×C₈	—	4	2	no	—
970	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
971	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
972	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
973	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
991	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
992	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
993	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
994	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	1	no	—
998	C₂²⋊C₄	—	2	1	no	—
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1013	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1014	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1015	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1016	C₄²	—	2	1	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	—	2	1	no	—
1019	C₄²	—	2	2	no	—
1020	C₄²	—	2	1	no	—
1021	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1022	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1023	C₄²	C₂⁴×C₁₃	1	2	yes	—
1024	C₁₃	#61676	1	1	yes	characteristic, direct product factor, Sylow
1025	C₂³	—	2	1	no	—
1026	C₂³	—	2	2	no	—
1027	C₂³	—	8	1	no	—
1028	C₂³	—	8	2	no	—
1029	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1030	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1031	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1032	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1033	Q₈	—	2	1	no	—
1034	Q₈	—	2	2	no	—
1035	Q₈	—	2	1	no	—
1036	Q₈	—	2	1	no	—
1037	Q₈	—	2	2	no	—
1038	Q₈	—	2	2	no	—
1039	Q₈	—	2	2	no	—
1040	Q₈	—	2	1	no	—
1041	Q₈	—	2	1	no	—
1042	Q₈	—	4	1	no	—
1043	Q₈	—	4	1	no	—
1044	Q₈	—	4	4	no	—
1045	Q₈	—	4	2	no	—
1046	Q₈	—	4	2	no	—
1047	Q₈	—	4	2	no	—
1048	Q₈	—	4	2	no	—
1049	Q₈	—	8	1	no	—
1050	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1051	D₄	—	2	4	no	—
1052	D₄	—	2	1	no	—
1053	D₄	—	2	2	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	4	2	no	—
1057	D₄	—	4	1	no	—
1058	D₄	—	4	1	no	—
1059	D₄	—	4	2	no	—
1060	D₄	—	4	1	no	—
1061	D₄	—	4	1	no	—
1062	D₄	—	4	2	no	—
1063	D₄	—	4	4	no	—
1064	D₄	—	4	2	no	—
1065	D₄	—	8	1	no	—
1066	D₄	—	8	2	no	—
1067	D₄	—	8	2	no	—
1068	D₄	—	8	2	no	—
1069	D₄	—	8	2	no	—
1070	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1071	C₂×C₄	—	2	4	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	4	2	no	—
1089	C₂×C₄	—	4	2	no	—
1090	C₂×C₄	—	4	4	no	—
1091	C₂×C₄	—	4	2	no	—
1092	C₂×C₄	—	4	4	no	—
1093	C₂×C₄	—	4	2	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	—	4	4	no	—
1096	C₂×C₄	—	4	2	no	—
1097	C₂×C₄	—	4	2	no	—
1098	C₂×C₄	—	8	2	no	—
1099	C₂×C₄	—	8	2	no	—
1100	C₂×C₄	—	8	2	no	—
1101	C₂×C₄	—	8	1	no	—
1102	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1103	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1104	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1105	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1106	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1107	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1108	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1109	C₈	—	2	2	no	—
1110	C₈	—	2	2	no	—
1111	C₈	—	2	2	no	—
1112	C₈	—	2	2	no	—
1113	C₂²	—	2	2	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	2	2	no	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	2	1	no	—
1119	C₂²	—	2	2	no	—
1120	C₂²	—	2	1	no	—
1121	C₂²	—	2	2	no	—
1122	C₂²	—	2	1	no	—
1123	C₂²	—	4	2	no	—
1124	C₂²	—	4	2	no	—
1125	C₂²	—	4	2	no	—
1126	C₂²	—	4	2	no	—
1127	C₂²	—	16	2	no	—
1128	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1129	C₄	—	2	2	no	—
1130	C₄	—	2	2	no	—
1131	C₄	—	2	1	no	—
1132	C₄	—	2	2	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	2	1	no	—
1136	C₄	—	4	2	no	—
1137	C₄	—	4	2	no	—
1138	C₄	—	4	2	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	2	no	—
1142	C₄	—	4	2	no	—
1143	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1144	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1145	C₂	—	4	1	no	—
1146	C₂	—	4	1	no	—
1147	C₂	—	4	2	no	—
1148	C₂	—	4	1	no	—
1149	C₂	—	4	2	no	—
1150	C₂	—	8	2	no	—
1151	C₂	C₁₃×#3484	1	1	yes	characteristic
1152	C₂	C₁₃×#3586	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3551	C₂	semidirect
2. C₁₃×#3499	C₂	semidirect
3. C₁₃×#3320	C₂	semidirect
4. C₁₃×#3315	C₂	semidirect
5. C₁₃×#3312	C₂	semidirect
6. C₁₃×#3307	C₂	semidirect
7. C₁₃×#3270	C₂	semidirect
8. C₁₃×#3269	C₂	semidirect
9. C₁₃×#3267	C₂	semidirect
10. C₁₃×#3266	C₂	semidirect
11. C₁₃×#3218	C₂	semidirect
12. C₁₃×#3202	C₂	semidirect
13. C₁₃×#3201	C₂	semidirect
14. C₁₃×#3200	C₂	semidirect
15. C₁₃×#3111	C₂	semidirect
16. C₁₃×#3013	C₂	semidirect
17. C₁₃×#3011	C₂	semidirect
18. C₁₃×#3010	C₂	semidirect
19. C₁₃×#2980	C₂	semidirect
21. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
23. C₂×C₁₃×#137	C₂²	semidirect
26. C₂²×C₁₃×Q₁₆	C₂²	semidirect
35. D₄×Q₈×C₁₃	C₂²	semidirect
40. C₁₃×#547	C₂²	semidirect
49. C₁₃×#536	C₂²	semidirect
54. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
56. C₄×C₁₃×#41	C₂²	semidirect
59. C₁₃×#491	C₂²	semidirect
60. C₁₃×#491	C₂²	semidirect
62. C₁₃×#485	C₂²	semidirect
63. C₁₃×#485	C₂²	semidirect
64. C₁₃×#484	C₂²	semidirect
65. C₁₃×#483	C₂²	semidirect
67. C₁₃×#479	C₂²	semidirect
68. C₁₃×#478	C₂²	semidirect
70. C₁₃×#470	C₂²	semidirect
74. C₁₃×#467	C₂²	semidirect
79. C₁₃×#462	C₂²	semidirect
80. C₁₃×#462	C₂²	semidirect
86. C₁₃×#452	C₂²	semidirect
87. C₁₃×#452	C₂²	semidirect
89. C₁₃×#451	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₁₃×#451	C₂²	semidirect
92. C₁₃×#451	C₂²	semidirect
102. C₁₃×#441	C₂²	semidirect
104. C₁₃×#440	C₂²	semidirect
107. C₁₃×#435	C₂²	semidirect
108. C₁₃×#435	C₂²	semidirect
109. C₁₃×#432	C₂²	semidirect
111. C₁₃×#419	C₂²	semidirect
112. C₁₃×#417	C₂²	semidirect
114. C₁₃×#416	C₂²	semidirect
115. C₂×C₁₃×#103	C₂²	semidirect
118. C₁₃×#408	C₂²	semidirect
290. #61676	C₁₃	direct (N × H)
449. #3551	C₂×C₁₃	semidirect
450. #3499	C₂×C₁₃	semidirect
451. #3320	C₂×C₁₃	semidirect
452. #3315	C₂×C₁₃	semidirect
453. #3312	C₂×C₁₃	semidirect
454. #3307	C₂×C₁₃	semidirect
455. #3270	C₂×C₁₃	semidirect
456. #3269	C₂×C₁₃	semidirect
457. #3267	C₂×C₁₃	semidirect
458. #3266	C₂×C₁₃	semidirect
459. #3218	C₂×C₁₃	semidirect
460. #3202	C₂×C₁₃	semidirect
461. #3201	C₂×C₁₃	semidirect
462. #3200	C₂×C₁₃	semidirect
463. #3111	C₂×C₁₃	semidirect
464. #3013	C₂×C₁₃	semidirect
465. #3011	C₂×C₁₃	semidirect
466. #3010	C₂×C₁₃	semidirect
467. #2980	C₂×C₁₃	semidirect
557. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
559. C₂×#137	C₂²×C₁₃	semidirect
562. C₂²×Q₁₆	C₂²×C₁₃	semidirect
571. D₄×Q₈	C₂²×C₁₃	semidirect
576. #547	C₂²×C₁₃	semidirect
585. #536	C₂²×C₁₃	semidirect
590. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
592. C₄×#41	C₂²×C₁₃	semidirect
595. #491	C₂²×C₁₃	semidirect
596. #491	C₂²×C₁₃	semidirect
598. #485	C₂²×C₁₃	semidirect
599. #485	C₂²×C₁₃	semidirect
600. #484	C₂²×C₁₃	semidirect
601. #483	C₂²×C₁₃	semidirect
603. #479	C₂²×C₁₃	semidirect
604. #478	C₂²×C₁₃	semidirect
606. #470	C₂²×C₁₃	semidirect
610. #467	C₂²×C₁₃	semidirect
615. #462	C₂²×C₁₃	semidirect
616. #462	C₂²×C₁₃	semidirect
622. #452	C₂²×C₁₃	semidirect
623. #452	C₂²×C₁₃	semidirect
625. #451	C₂²×C₁₃	semidirect
626. #451	C₂²×C₁₃	semidirect
627. #451	C₂²×C₁₃	semidirect
628. #451	C₂²×C₁₃	semidirect
638. #441	C₂²×C₁₃	semidirect
640. #440	C₂²×C₁₃	semidirect
643. #435	C₂²×C₁₃	semidirect
644. #435	C₂²×C₁₃	semidirect
645. #432	C₂²×C₁₃	semidirect
647. #419	C₂²×C₁₃	semidirect
648. #417	C₂²×C₁₃	semidirect
650. #416	C₂²×C₁₃	semidirect
651. C₂×#103	C₂²×C₁₃	semidirect
654. #408	C₂²×C₁₃	semidirect
1024. C₁₃	#61676	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×#3551	2
C₁₃×#3499	2
C₁₃×#3320	2
C₁₃×#3315	2
C₁₃×#3312	2
C₁₃×#3307	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3267	2
C₁₃×#3266	2
C₁₃×#3218	2
C₁₃×#3202	2
C₁₃×#3201	2
C₁₃×#3200	2
C₁₃×#3111	2
C₁₃×#3013	2
C₁₃×#3011	2
C₁₃×#3010	2
C₁₃×#2980	2
#61676	13

Subgroups — C13×#61676 #15748015

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61676 #15748015