Subgroups — C₁₃×#61677 #15748016

Order 3328.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1150 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3548	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3316	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3314	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3271	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3013	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3012	C₂	1	2	yes	maximal, 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×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
23	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
24	C₂×C₁₃×#135	C₂²	1	2	yes	—
25	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
26	C₁₃×#562	—	2	1	no	—
27	C₁₃×#562	—	2	1	no	—
28	C₁₃×#554	—	2	1	no	—
29	C₁₃×#554	C₂²	1	2	yes	complemented
30	C₁₃×#550	—	2	1	no	—
31	C₁₃×#550	C₂²	1	2	yes	complemented
32	C₁₃×#548	C₂²	1	2	yes	—
33	C₁₃×#548	C₂²	1	2	yes	—
34	C₁₃×#547	C₂²	1	2	yes	complemented
35	C₁₃×#547	C₂²	1	2	yes	complemented
36	C₁₃×#546	—	2	2	no	—
37	C₁₃×#546	—	2	2	no	—
38	C₁₃×#546	C₂²	1	2	yes	—
39	C₁₃×#546	C₂²	1	2	yes	—
40	C₁₃×#540	—	2	2	no	—
41	C₁₃×#537	—	2	2	no	—
42	C₁₃×#537	C₂²	1	2	yes	—
43	C₁₃×#537	C₂²	1	2	yes	complemented
44	C₁₃×#536	—	2	1	no	—
45	C₁₃×#536	C₂²	1	1	yes	characteristic
46	C₁₃×#535	—	2	1	no	—
47	C₁₃×#535	C₂²	1	1	yes	characteristic
48	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#532	—	2	1	no	—
50	C₁₃×#532	C₂²	1	1	yes	characteristic
51	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₁₃×#124	—	2	1	no	—
53	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₁₃×#497	C₂²	1	2	yes	complemented
56	C₁₃×#496	C₂²	1	2	yes	complemented
57	C₁₃×#489	C₂²	1	2	yes	complemented
58	C₁₃×#489	C₂²	1	2	yes	complemented
59	C₁₃×#485	C₂²	1	2	yes	complemented
60	C₁₃×#484	C₂²	1	2	yes	complemented
61	C₁₃×#483	C₂²	1	2	yes	complemented
62	C₁₃×#482	C₂²	1	2	yes	complemented
63	C₁₃×#481	C₂²	1	2	yes	complemented
64	C₁₃×#480	C₂²	1	2	yes	complemented
65	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#470	C₂²	1	2	yes	complemented
70	C₁₃×#469	C₂²	1	2	yes	complemented
71	C₁₃×#468	C₂²	1	2	yes	complemented
72	C₁₃×#468	C₂²	1	2	yes	complemented
73	C₁₃×#467	C₂²	1	2	yes	complemented
74	C₁₃×#466	C₂²	1	2	yes	complemented
75	C₁₃×#465	C₂²	1	2	yes	complemented
76	C₁₃×#465	C₂²	1	2	yes	complemented
77	C₁₃×#464	C₂²	1	2	yes	complemented
78	C₁₃×#464	C₂²	1	2	yes	complemented
79	C₁₃×#463	C₂²	1	2	yes	complemented
80	C₁₃×#463	C₂²	1	2	yes	complemented
81	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#452	C₂²	1	2	yes	—
86	C₁₃×#452	C₂²	1	2	yes	—
87	C₁₃×#452	C₂²	1	2	yes	complemented
88	C₁₃×#452	C₂²	1	2	yes	complemented
89	C₁₃×#452	C₂²	1	2	yes	complemented
90	C₁₃×#451	C₂²	1	2	yes	complemented
91	C₁₃×#451	C₂²	1	2	yes	complemented
92	C₁₃×#450	C₂²	1	2	yes	—
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	complemented
97	C₁₃×#449	C₂²	1	2	yes	complemented
98	C₁₃×#449	C₂²	1	2	yes	complemented
99	C₁₃×#448	C₂²	1	2	yes	complemented
100	C₁₃×#448	C₂²	1	2	yes	complemented
101	C₁₃×#447	C₂²	1	2	yes	—
102	C₁₃×#447	C₂²	1	2	yes	—
103	C₁₃×#442	C₂²	1	2	yes	complemented
104	C₁₃×#441	C₂²	1	2	yes	complemented
105	C₁₃×#440	C₂²	1	2	yes	complemented
106	C₁₃×#440	C₂²	1	2	yes	complemented
107	C₁₃×#435	C₂²	1	2	yes	complemented
108	C₁₃×#435	C₂²	1	2	yes	complemented
109	C₁₃×#435	C₂²	1	2	yes	complemented
110	C₁₃×#435	C₂²	1	2	yes	complemented
111	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#417	C₂²	1	2	yes	—
114	C₁₃×#417	C₂²	1	2	yes	complemented
115	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
116	C₂×C₁₃×#102	C₂²	1	2	yes	—
117	C₁₃×#408	C₂²	1	2	yes	—
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×H(5,𝔽₂)	—	4	2	no	—
122	C₁₃×H(5,𝔽₂)	—	4	2	no	—
123	C₂×C₁₃×#41	—	2	1	no	—
124	C₂×C₁₃×#41	—	2	1	no	—
125	C₂×C₁₃×#41	—	2	2	no	—
126	C₂×C₁₃×#41	—	2	2	no	—
127	C₂×C₁₃×#41	—	2	1	no	—
128	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
129	C₂×C₁₃×#41	C₂³	1	2	yes	—
130	C₂×C₁₃×#41	C₂³	1	2	yes	—
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	C₂³	1	2	yes	—
137	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃	—	2	1	no	—
139	C₂²×D₄×C₁₃	—	2	2	no	—
140	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₁₃×#137	—	4	4	no	—
143	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
144	C₁₃×#135	—	4	4	no	—
145	C₁₃×#135	—	4	4	no	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×D₈	C₂³	1	2	yes	—
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
160	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
161	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	—	2	1	no	—
163	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×#127	—	2	1	no	—
168	C₁₃×#127	—	2	2	no	—
169	C₁₃×#127	D₄	1	1	yes	characteristic
170	C₁₃×#127	C₂³	1	1	yes	characteristic
171	C₁₃×#125	—	2	2	no	—
172	C₁₃×#125	—	2	1	no	—
173	C₁₃×#124	—	2	1	no	—
174	C₁₃×#124	—	2	1	no	—
175	C₁₃×#124	—	2	2	no	—
176	C₁₃×#124	—	2	2	no	—
177	C₁₃×#124	—	2	1	no	—
178	C₁₃×#124	—	2	1	no	—
179	C₁₃×#124	—	2	1	no	—
180	C₁₃×#124	D₄	1	1	yes	characteristic
181	C₁₃×#124	D₄	1	1	yes	characteristic
182	C₁₃×#124	C₂³	1	2	yes	—
183	C₁₃×#124	C₂³	1	2	yes	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×#123	—	2	2	no	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	—	2	1	no	—
194	C₁₃×C₂²⋊Q₈	—	2	2	no	—
195	C₁₃×C₂²⋊Q₈	—	2	2	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
203	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	—	2	2	no	—
206	C₁₃×#121	—	2	2	no	—
207	C₁₃×#121	—	2	2	no	—
208	C₁₃×#121	—	2	2	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	2	no	—
211	C₁₃×#121	—	2	2	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	2	no	—
218	C₁₃×#121	D₄	1	2	yes	—
219	C₁₃×#121	D₄	1	2	yes	—
220	C₁₃×#121	C₂³	1	2	yes	—
221	C₁₃×#121	C₂³	1	2	yes	—
222	C₁₃×#121	C₂³	1	2	yes	—
223	C₁₃×#121	C₂³	1	2	yes	—
224	C₁₃×#121	C₂³	1	2	yes	—
225	C₁₃×#120	—	2	2	no	—
226	C₁₃×#120	—	2	2	no	—
227	C₁₃×#120	—	2	2	no	—
228	C₄×Q₈×C₁₃	—	2	1	no	—
229	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₁₃	—	2	2	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	2	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	2	yes	—
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	2	yes	—
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₁₃×#117	—	2	1	no	—
245	C₁₃×#117	—	2	1	no	—
246	C₁₃×#117	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
250	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
251	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
252	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
253	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
254	C₂×C₄²×C₁₃	—	2	1	no	—
255	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
256	C₁₃×#107	C₂³	1	2	yes	—
257	C₁₃×#107	C₂³	1	2	yes	—
258	C₁₃×#106	C₂³	1	2	yes	—
259	C₁₃×#106	C₂³	1	2	yes	—
260	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
264	C₁₃×#103	C₂³	1	2	yes	—
265	C₁₃×#103	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×#102	C₂³	1	2	yes	—
273	C₁₃×#102	C₂³	1	2	yes	—
274	C₁₃×#102	C₂³	1	2	yes	—
275	C₁₃×#102	C₂³	1	2	yes	—
276	C₁₃×#102	C₂³	1	2	yes	—
277	C₁₃×#102	C₂³	1	2	yes	—
278	C₁₃×#102	C₂³	1	2	yes	—
279	C₁₃×#102	C₂³	1	2	yes	—
280	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₂²⋊C₈	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×#97	C₂³	1	2	yes	—
287	C₁₃×#97	C₂³	1	2	yes	—
288	#61677	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
289	C₂⁴×C₁₃	—	2	2	no	—
290	C₂⁴×C₁₃	—	2	1	no	—
291	C₁₃×#41	—	2	2	no	—
292	C₁₃×#41	—	2	2	no	—
293	C₁₃×#41	—	2	4	no	—
294	C₁₃×#41	—	2	4	no	—
295	C₁₃×#41	—	4	1	no	—
296	C₁₃×#41	—	4	1	no	—
297	C₁₃×#41	—	4	1	no	—
298	C₁₃×#41	—	4	1	no	—
299	C₁₃×#41	—	4	2	no	—
300	C₁₃×#41	—	4	2	no	—
301	C₁₃×#41	—	4	4	no	—
302	C₁₃×#41	—	4	4	no	—
303	C₁₃×#41	—	4	2	no	—
304	C₁₃×#41	—	4	2	no	—
305	C₁₃×#41	—	4	2	no	—
306	C₁₃×#41	—	4	2	no	—
307	C₁₃×#41	—	4	8	no	—
308	C₁₃×#41	—	8	2	no	—
309	C₁₃×#41	—	8	4	no	—
310	C₂×Q₈×C₁₃	—	2	1	no	—
311	C₂×Q₈×C₁₃	—	2	2	no	—
312	C₂×Q₈×C₁₃	—	2	1	no	—
313	C₂×Q₈×C₁₃	—	2	1	no	—
314	C₂×Q₈×C₁₃	—	2	4	no	—
315	C₂×Q₈×C₁₃	—	4	2	no	—
316	C₂×Q₈×C₁₃	—	4	1	no	—
317	C₂×Q₈×C₁₃	—	4	1	no	—
318	C₂×Q₈×C₁₃	—	4	4	no	—
319	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
320	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
321	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
322	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
323	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
324	C₂×D₄×C₁₃	—	2	1	no	—
325	C₂×D₄×C₁₃	—	2	4	no	—
326	C₂×D₄×C₁₃	—	2	2	no	—
327	C₂×D₄×C₁₃	—	2	2	no	—
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	2	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	4	2	no	—
340	C₂×D₄×C₁₃	—	4	1	no	—
341	C₂×D₄×C₁₃	—	4	1	no	—
342	C₂×D₄×C₁₃	—	4	4	no	—
343	C₂×D₄×C₁₃	—	4	8	no	—
344	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
345	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
346	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
347	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
348	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
349	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
350	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
351	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
352	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₃	—	2	1	no	—
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	2	2	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	2	1	no	—
362	C₂²×C₄×C₁₃	—	2	1	no	—
363	C₂²×C₄×C₁₃	—	2	2	no	—
364	C₂²×C₄×C₁₃	—	2	2	no	—
365	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
370	C₁₃×Q₁₆	—	2	4	no	—
371	C₁₃×Q₁₆	—	4	2	no	—
372	C₁₃×Q₁₆	—	4	2	no	—
373	C₁₃×SD₁₆	—	2	4	no	—
374	C₁₃×SD₁₆	—	2	4	no	—
375	C₁₃×SD₁₆	—	4	2	no	—
376	C₁₃×SD₁₆	—	4	2	no	—
377	C₁₃×SD₁₆	—	4	2	no	—
378	C₁₃×SD₁₆	—	4	2	no	—
379	C₁₃×D₈	—	2	4	no	—
380	C₁₃×D₈	—	4	2	no	—
381	C₁₃×D₈	—	4	2	no	—
382	C₁₃×M₁₆	—	4	2	no	—
383	C₁₃×M₁₆	—	4	2	no	—
384	C₂×C₈×C₁₃	—	4	2	no	—
385	C₂×C₈×C₁₃	—	4	2	no	—
386	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
387	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
388	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
389	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
390	C₁₃×C₄⋊C₄	—	2	1	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	1	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	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₂²⋊C₄	—	2	2	no	—
411	C₁₃×C₂²⋊C₄	—	2	2	no	—
412	C₁₃×C₂²⋊C₄	—	2	2	no	—
413	C₁₃×C₂²⋊C₄	—	2	1	no	—
414	C₁₃×C₂²⋊C₄	—	2	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
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	2	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	C₂×D₄	1	2	yes	—
429	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
430	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
431	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
432	C₄²×C₁₃	—	2	1	no	—
433	C₄²×C₁₃	—	2	1	no	—
434	C₄²×C₁₃	—	2	1	no	—
435	C₄²×C₁₃	—	2	2	no	—
436	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
437	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
438	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
439	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
440	#3548	C₂×C₁₃	1	1	yes	characteristic, complemented
441	#3500	C₂×C₁₃	1	1	yes	characteristic, complemented
442	#3316	C₂×C₁₃	1	2	yes	complemented
443	#3314	C₂×C₁₃	1	2	yes	complemented
444	#3308	C₂×C₁₃	1	2	yes	complemented
445	#3306	C₂×C₁₃	1	2	yes	complemented
446	#3271	C₂×C₁₃	1	2	yes	complemented
447	#3269	C₂×C₁₃	1	2	yes	complemented
448	#3268	C₂×C₁₃	1	2	yes	complemented
449	#3267	C₂×C₁₃	1	2	yes	complemented
450	#3215	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3201	C₂×C₁₃	1	2	yes	complemented
453	#3198	C₂×C₁₃	1	2	yes	complemented
454	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3013	C₂×C₁₃	1	2	yes	complemented
457	#3012	C₂×C₁₃	1	2	yes	complemented
458	#2980	C₂×C₁₃	1	1	yes	characteristic, complemented
459	C₂³×C₁₃	—	2	1	no	—
460	C₂³×C₁₃	—	2	2	no	—
461	C₂³×C₁₃	—	2	2	no	—
462	C₂³×C₁₃	—	4	4	no	—
463	C₂³×C₁₃	—	4	2	no	—
464	C₂³×C₁₃	—	8	1	no	—
465	C₂³×C₁₃	—	8	2	no	—
466	C₂³×C₁₃	—	8	1	no	—
467	C₂³×C₁₃	—	8	2	no	—
468	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
469	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
470	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
471	Q₈×C₁₃	—	2	1	no	—
472	Q₈×C₁₃	—	2	2	no	—
473	Q₈×C₁₃	—	2	2	no	—
474	Q₈×C₁₃	—	2	2	no	—
475	Q₈×C₁₃	—	2	2	no	—
476	Q₈×C₁₃	—	4	1	no	—
477	Q₈×C₁₃	—	4	1	no	—
478	Q₈×C₁₃	—	4	4	no	—
479	Q₈×C₁₃	—	4	2	no	—
480	Q₈×C₁₃	—	4	2	no	—
481	Q₈×C₁₃	—	8	1	no	—
482	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
483	D₄×C₁₃	—	2	4	no	—
484	D₄×C₁₃	—	2	1	no	—
485	D₄×C₁₃	—	2	2	no	—
486	D₄×C₁₃	—	2	2	no	—
487	D₄×C₁₃	—	2	2	no	—
488	D₄×C₁₃	—	2	2	no	—
489	D₄×C₁₃	—	4	1	no	—
490	D₄×C₁₃	—	4	2	no	—
491	D₄×C₁₃	—	4	2	no	—
492	D₄×C₁₃	—	4	1	no	—
493	D₄×C₁₃	—	4	2	no	—
494	D₄×C₁₃	—	4	2	no	—
495	D₄×C₁₃	—	4	4	no	—
496	D₄×C₁₃	—	4	4	no	—
497	D₄×C₁₃	—	4	2	no	—
498	D₄×C₁₃	—	4	2	no	—
499	D₄×C₁₃	—	4	4	no	—
500	D₄×C₁₃	—	8	1	no	—
501	D₄×C₁₃	—	8	2	no	—
502	D₄×C₁₃	—	8	2	no	—
503	D₄×C₁₃	—	8	2	no	—
504	D₄×C₁₃	—	8	2	no	—
505	D₄×C₁₃	—	8	2	no	—
506	D₄×C₁₃	—	8	2	no	—
507	D₄×C₁₃	—	8	2	no	—
508	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
509	C₂×C₄×C₁₃	—	2	4	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	2	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	2	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	1	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	4	1	no	—
524	C₂×C₄×C₁₃	—	4	1	no	—
525	C₂×C₄×C₁₃	—	4	4	no	—
526	C₂×C₄×C₁₃	—	4	4	no	—
527	C₂×C₄×C₁₃	—	4	4	no	—
528	C₂×C₄×C₁₃	—	4	4	no	—
529	C₂×C₄×C₁₃	—	4	2	no	—
530	C₂×C₄×C₁₃	—	8	1	no	—
531	C₂×C₄×C₁₃	—	8	1	no	—
532	C₂×C₄×C₁₃	—	8	2	no	—
533	C₂×C₄×C₁₃	—	8	2	no	—
534	C₂×C₄×C₁₃	—	8	2	no	—
535	C₂×C₄×C₁₃	—	8	2	no	—
536	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
537	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
540	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
541	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
542	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
543	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
544	C₈×C₁₃	—	2	2	no	—
545	C₈×C₁₃	—	2	2	no	—
546	C₈×C₁₃	—	2	2	no	—
547	C₈×C₁₃	—	2	2	no	—
548	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
549	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
550	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
551	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
552	C₂×#135	C₂²×C₁₃	1	2	yes	—
553	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
554	#562	—	2	1	no	—
555	#562	—	2	1	no	—
556	#554	—	2	1	no	—
557	#554	C₂²×C₁₃	1	2	yes	complemented
558	#550	—	2	1	no	—
559	#550	C₂²×C₁₃	1	2	yes	complemented
560	#548	C₂²×C₁₃	1	2	yes	—
561	#548	C₂²×C₁₃	1	2	yes	—
562	#547	C₂²×C₁₃	1	2	yes	complemented
563	#547	C₂²×C₁₃	1	2	yes	complemented
564	#546	—	2	2	no	—
565	#546	—	2	2	no	—
566	#546	C₂²×C₁₃	1	2	yes	—
567	#546	C₂²×C₁₃	1	2	yes	—
568	#540	—	2	2	no	—
569	#537	—	2	2	no	—
570	#537	C₂²×C₁₃	1	2	yes	—
571	#537	C₂²×C₁₃	1	2	yes	complemented
572	#536	—	2	1	no	—
573	#536	C₂²×C₁₃	1	1	yes	characteristic
574	#535	—	2	1	no	—
575	#535	C₂²×C₁₃	1	1	yes	characteristic
576	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
577	#532	—	2	1	no	—
578	#532	C₂²×C₁₃	1	1	yes	characteristic
579	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
580	C₂×#124	—	2	1	no	—
581	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
582	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
583	#497	C₂²×C₁₃	1	2	yes	complemented
584	#496	C₂²×C₁₃	1	2	yes	complemented
585	#489	C₂²×C₁₃	1	2	yes	complemented
586	#489	C₂²×C₁₃	1	2	yes	complemented
587	#485	C₂²×C₁₃	1	2	yes	complemented
588	#484	C₂²×C₁₃	1	2	yes	complemented
589	#483	C₂²×C₁₃	1	2	yes	complemented
590	#482	C₂²×C₁₃	1	2	yes	complemented
591	#481	C₂²×C₁₃	1	2	yes	complemented
592	#480	C₂²×C₁₃	1	2	yes	complemented
593	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#470	C₂²×C₁₃	1	2	yes	complemented
598	#469	C₂²×C₁₃	1	2	yes	complemented
599	#468	C₂²×C₁₃	1	2	yes	complemented
600	#468	C₂²×C₁₃	1	2	yes	complemented
601	#467	C₂²×C₁₃	1	2	yes	complemented
602	#466	C₂²×C₁₃	1	2	yes	complemented
603	#465	C₂²×C₁₃	1	2	yes	complemented
604	#465	C₂²×C₁₃	1	2	yes	complemented
605	#464	C₂²×C₁₃	1	2	yes	complemented
606	#464	C₂²×C₁₃	1	2	yes	complemented
607	#463	C₂²×C₁₃	1	2	yes	complemented
608	#463	C₂²×C₁₃	1	2	yes	complemented
609	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
610	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
613	#452	C₂²×C₁₃	1	2	yes	—
614	#452	C₂²×C₁₃	1	2	yes	—
615	#452	C₂²×C₁₃	1	2	yes	complemented
616	#452	C₂²×C₁₃	1	2	yes	complemented
617	#452	C₂²×C₁₃	1	2	yes	complemented
618	#451	C₂²×C₁₃	1	2	yes	complemented
619	#451	C₂²×C₁₃	1	2	yes	complemented
620	#450	C₂²×C₁₃	1	2	yes	—
621	#450	C₂²×C₁₃	1	2	yes	—
622	#449	C₂²×C₁₃	1	2	yes	—
623	#449	C₂²×C₁₃	1	2	yes	—
624	#449	C₂²×C₁₃	1	2	yes	complemented
625	#449	C₂²×C₁₃	1	2	yes	complemented
626	#449	C₂²×C₁₃	1	2	yes	complemented
627	#448	C₂²×C₁₃	1	2	yes	complemented
628	#448	C₂²×C₁₃	1	2	yes	complemented
629	#447	C₂²×C₁₃	1	2	yes	—
630	#447	C₂²×C₁₃	1	2	yes	—
631	#442	C₂²×C₁₃	1	2	yes	complemented
632	#441	C₂²×C₁₃	1	2	yes	complemented
633	#440	C₂²×C₁₃	1	2	yes	complemented
634	#440	C₂²×C₁₃	1	2	yes	complemented
635	#435	C₂²×C₁₃	1	2	yes	complemented
636	#435	C₂²×C₁₃	1	2	yes	complemented
637	#435	C₂²×C₁₃	1	2	yes	complemented
638	#435	C₂²×C₁₃	1	2	yes	complemented
639	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	#417	C₂²×C₁₃	1	2	yes	—
642	#417	C₂²×C₁₃	1	2	yes	complemented
643	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
644	C₂×#102	C₂²×C₁₃	1	2	yes	—
645	#408	C₂²×C₁₃	1	2	yes	—
646	#408	C₂²×C₁₃	1	2	yes	complemented
647	C₂²×C₁₃	—	2	1	no	—
648	C₂²×C₁₃	—	2	2	no	—
649	C₂²×C₁₃	—	2	2	no	—
650	C₂²×C₁₃	—	2	1	no	—
651	C₂²×C₁₃	—	2	2	no	—
652	C₂²×C₁₃	—	2	2	no	—
653	C₂²×C₁₃	—	2	1	no	—
654	C₂²×C₁₃	—	2	2	no	—
655	C₂²×C₁₃	—	2	2	no	—
656	C₂²×C₁₃	—	2	2	no	—
657	C₂²×C₁₃	—	4	1	no	—
658	C₂²×C₁₃	—	4	1	no	—
659	C₂²×C₁₃	—	4	2	no	—
660	C₂²×C₁₃	—	4	2	no	—
661	C₂²×C₁₃	—	4	2	no	—
662	C₂²×C₁₃	—	4	2	no	—
663	C₂²×C₁₃	—	4	2	no	—
664	C₂²×C₁₃	—	4	2	no	—
665	C₂²×C₁₃	—	16	4	no	—
666	C₂²×C₁₃	—	16	2	no	—
667	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
668	C₄×C₁₃	—	2	1	no	—
669	C₄×C₁₃	—	2	1	no	—
670	C₄×C₁₃	—	2	1	no	—
671	C₄×C₁₃	—	2	1	no	—
672	C₄×C₁₃	—	2	1	no	—
673	C₄×C₁₃	—	2	2	no	—
674	C₄×C₁₃	—	2	2	no	—
675	C₄×C₁₃	—	2	2	no	—
676	C₄×C₁₃	—	4	2	no	—
677	C₄×C₁₃	—	4	2	no	—
678	C₄×C₁₃	—	4	1	no	—
679	C₄×C₁₃	—	4	1	no	—
680	C₄×C₁₃	—	4	2	no	—
681	C₄×C₁₃	—	4	2	no	—
682	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
683	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
684	2₋¹⁺⁴	—	4	2	no	—
685	2₋¹⁺⁴	—	4	2	no	—
686	H(5,𝔽₂)	—	4	2	no	—
687	H(5,𝔽₂)	—	4	2	no	—
688	C₂×#41	—	2	1	no	—
689	C₂×#41	—	2	1	no	—
690	C₂×#41	—	2	2	no	—
691	C₂×#41	—	2	2	no	—
692	C₂×#41	—	2	1	no	—
693	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
694	C₂×#41	C₂³×C₁₃	1	2	yes	—
695	C₂×#41	C₂³×C₁₃	1	2	yes	—
696	C₂×#41	C₂³×C₁₃	1	2	yes	—
697	C₂×#41	C₂³×C₁₃	1	2	yes	—
698	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
699	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
700	C₂²×Q₈	—	2	1	no	—
701	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
702	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
703	C₂²×D₄	—	2	1	no	—
704	C₂²×D₄	—	2	2	no	—
705	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
706	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
707	#137	—	4	4	no	—
708	AGL(1,ℤ/8)	—	4	4	no	—
709	#135	—	4	4	no	—
710	#135	—	4	4	no	—
711	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
712	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
713	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
714	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
715	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
716	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
717	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
718	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
719	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
720	C₂×D₈	C₂³×C₁₃	1	2	yes	—
721	C₂×D₈	C₂³×C₁₃	1	2	yes	—
722	C₂×D₈	C₂³×C₁₃	1	2	yes	—
723	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
724	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
725	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
726	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
727	C₄⋊Q₈	—	2	1	no	—
728	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
729	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
730	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
731	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
732	#127	—	2	1	no	—
733	#127	—	2	2	no	—
734	#127	D₄×C₁₃	1	1	yes	characteristic
735	#127	C₂³×C₁₃	1	1	yes	characteristic
736	#125	—	2	2	no	—
737	#125	—	2	1	no	—
738	#124	—	2	1	no	—
739	#124	—	2	1	no	—
740	#124	—	2	2	no	—
741	#124	—	2	2	no	—
742	#124	—	2	1	no	—
743	#124	—	2	1	no	—
744	#124	—	2	1	no	—
745	#124	D₄×C₁₃	1	1	yes	characteristic
746	#124	D₄×C₁₃	1	1	yes	characteristic
747	#124	C₂³×C₁₃	1	2	yes	—
748	#124	C₂³×C₁₃	1	2	yes	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
765	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
766	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
767	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
768	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
769	#121	—	2	2	no	—
770	#121	—	2	2	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	2	no	—
774	#121	—	2	2	no	—
775	#121	—	2	2	no	—
776	#121	—	2	2	no	—
777	#121	—	2	2	no	—
778	#121	—	2	1	no	—
779	#121	—	2	2	no	—
780	#121	—	2	2	no	—
781	#121	—	2	2	no	—
782	#121	—	2	2	no	—
783	#121	D₄×C₁₃	1	2	yes	—
784	#121	D₄×C₁₃	1	2	yes	—
785	#121	C₂³×C₁₃	1	2	yes	—
786	#121	C₂³×C₁₃	1	2	yes	—
787	#121	C₂³×C₁₃	1	2	yes	—
788	#121	C₂³×C₁₃	1	2	yes	—
789	#121	C₂³×C₁₃	1	2	yes	—
790	#120	—	2	2	no	—
791	#120	—	2	2	no	—
792	#120	—	2	2	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
795	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
805	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
806	C₄×D₄	C₂³×C₁₃	1	2	yes	—
807	C₄×D₄	C₂³×C₁₃	1	2	yes	—
808	C₄×D₄	C₂³×C₁₃	1	2	yes	—
809	#117	—	2	1	no	—
810	#117	—	2	1	no	—
811	#117	C₂³×C₁₃	1	1	yes	characteristic
812	C₂×C₄⋊C₄	—	2	2	no	—
813	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
814	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
815	C₂×C₂²⋊C₄	—	2	1	no	—
816	C₂×C₂²⋊C₄	—	2	1	no	—
817	C₂×C₂²⋊C₄	—	2	2	no	—
818	C₂×C₂²⋊C₄	—	2	2	no	—
819	C₂×C₄²	—	2	1	no	—
820	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
821	#107	C₂³×C₁₃	1	2	yes	—
822	#107	C₂³×C₁₃	1	2	yes	—
823	#106	C₂³×C₁₃	1	2	yes	—
824	#106	C₂³×C₁₃	1	2	yes	—
825	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
826	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
827	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
828	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
829	#103	C₂³×C₁₃	1	2	yes	—
830	#103	C₂³×C₁₃	1	2	yes	—
831	#103	C₂³×C₁₃	1	2	yes	—
832	#103	C₂³×C₁₃	1	2	yes	—
833	#103	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	#102	C₂³×C₁₃	1	2	yes	—
838	#102	C₂³×C₁₃	1	2	yes	—
839	#102	C₂³×C₁₃	1	2	yes	—
840	#102	C₂³×C₁₃	1	2	yes	—
841	#102	C₂³×C₁₃	1	2	yes	—
842	#102	C₂³×C₁₃	1	2	yes	—
843	#102	C₂³×C₁₃	1	2	yes	—
844	#102	C₂³×C₁₃	1	2	yes	—
845	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
846	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
847	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
848	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
849	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
850	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
851	#97	C₂³×C₁₃	1	2	yes	—
852	#97	C₂³×C₁₃	1	2	yes	—
853	C₂×C₁₃	—	4	2	no	—
854	C₂×C₁₃	—	4	1	no	—
855	C₂×C₁₃	—	4	2	no	—
856	C₂×C₁₃	—	4	2	no	—
857	C₂×C₁₃	—	8	2	no	—
858	C₂×C₁₃	—	8	2	no	—
859	C₂×C₁₃	#3484	1	1	yes	characteristic
860	C₂×C₁₃	#3585	1	1	yes	characteristic
861	C₂×C₁₃	#3586	1	1	yes	characteristic
862	C₂⁴	—	2	2	no	—
863	C₂⁴	—	2	1	no	—
864	#41	—	2	2	no	—
865	#41	—	2	2	no	—
866	#41	—	2	4	no	—
867	#41	—	2	4	no	—
868	#41	—	4	1	no	—
869	#41	—	4	1	no	—
870	#41	—	4	1	no	—
871	#41	—	4	1	no	—
872	#41	—	4	2	no	—
873	#41	—	4	2	no	—
874	#41	—	4	4	no	—
875	#41	—	4	4	no	—
876	#41	—	4	2	no	—
877	#41	—	4	2	no	—
878	#41	—	4	2	no	—
879	#41	—	4	2	no	—
880	#41	—	4	8	no	—
881	#41	—	8	2	no	—
882	#41	—	8	4	no	—
883	C₂×Q₈	—	2	1	no	—
884	C₂×Q₈	—	2	2	no	—
885	C₂×Q₈	—	2	1	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	4	no	—
888	C₂×Q₈	—	4	2	no	—
889	C₂×Q₈	—	4	1	no	—
890	C₂×Q₈	—	4	1	no	—
891	C₂×Q₈	—	4	4	no	—
892	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
893	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
894	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
895	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
896	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
897	C₂×D₄	—	2	1	no	—
898	C₂×D₄	—	2	4	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	2	1	no	—
912	C₂×D₄	—	4	2	no	—
913	C₂×D₄	—	4	1	no	—
914	C₂×D₄	—	4	1	no	—
915	C₂×D₄	—	4	4	no	—
916	C₂×D₄	—	4	8	no	—
917	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
918	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
919	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
920	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
921	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
922	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
923	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
924	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
925	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
939	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
940	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
941	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
942	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
943	Q₁₆	—	2	4	no	—
944	Q₁₆	—	4	2	no	—
945	Q₁₆	—	4	2	no	—
946	SD₁₆	—	2	4	no	—
947	SD₁₆	—	2	4	no	—
948	SD₁₆	—	4	2	no	—
949	SD₁₆	—	4	2	no	—
950	SD₁₆	—	4	2	no	—
951	SD₁₆	—	4	2	no	—
952	D₈	—	2	4	no	—
953	D₈	—	4	2	no	—
954	D₈	—	4	2	no	—
955	M₁₆	—	4	2	no	—
956	M₁₆	—	4	2	no	—
957	C₂×C₈	—	4	2	no	—
958	C₂×C₈	—	4	2	no	—
959	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
960	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
961	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
962	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
978	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
979	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
980	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
981	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
982	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1002	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1003	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1004	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	2	no	—
1009	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1010	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1011	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1012	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1013	C₁₃	#61677	1	1	yes	characteristic, direct product factor, Sylow
1014	C₂³	—	2	1	no	—
1015	C₂³	—	2	2	no	—
1016	C₂³	—	2	2	no	—
1017	C₂³	—	4	4	no	—
1018	C₂³	—	4	2	no	—
1019	C₂³	—	8	1	no	—
1020	C₂³	—	8	2	no	—
1021	C₂³	—	8	1	no	—
1022	C₂³	—	8	2	no	—
1023	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1024	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1025	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1026	Q₈	—	2	1	no	—
1027	Q₈	—	2	2	no	—
1028	Q₈	—	2	2	no	—
1029	Q₈	—	2	2	no	—
1030	Q₈	—	2	2	no	—
1031	Q₈	—	4	1	no	—
1032	Q₈	—	4	1	no	—
1033	Q₈	—	4	4	no	—
1034	Q₈	—	4	2	no	—
1035	Q₈	—	4	2	no	—
1036	Q₈	—	8	1	no	—
1037	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1038	D₄	—	2	4	no	—
1039	D₄	—	2	1	no	—
1040	D₄	—	2	2	no	—
1041	D₄	—	2	2	no	—
1042	D₄	—	2	2	no	—
1043	D₄	—	2	2	no	—
1044	D₄	—	4	1	no	—
1045	D₄	—	4	2	no	—
1046	D₄	—	4	2	no	—
1047	D₄	—	4	1	no	—
1048	D₄	—	4	2	no	—
1049	D₄	—	4	2	no	—
1050	D₄	—	4	4	no	—
1051	D₄	—	4	4	no	—
1052	D₄	—	4	2	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	4	4	no	—
1055	D₄	—	8	1	no	—
1056	D₄	—	8	2	no	—
1057	D₄	—	8	2	no	—
1058	D₄	—	8	2	no	—
1059	D₄	—	8	2	no	—
1060	D₄	—	8	2	no	—
1061	D₄	—	8	2	no	—
1062	D₄	—	8	2	no	—
1063	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1064	C₂×C₄	—	2	4	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	4	1	no	—
1079	C₂×C₄	—	4	1	no	—
1080	C₂×C₄	—	4	4	no	—
1081	C₂×C₄	—	4	4	no	—
1082	C₂×C₄	—	4	4	no	—
1083	C₂×C₄	—	4	4	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	8	1	no	—
1086	C₂×C₄	—	8	1	no	—
1087	C₂×C₄	—	8	2	no	—
1088	C₂×C₄	—	8	2	no	—
1089	C₂×C₄	—	8	2	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1092	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1093	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1094	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1095	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1096	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1097	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1098	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1099	C₈	—	2	2	no	—
1100	C₈	—	2	2	no	—
1101	C₈	—	2	2	no	—
1102	C₈	—	2	2	no	—
1103	C₂²	—	2	1	no	—
1104	C₂²	—	2	2	no	—
1105	C₂²	—	2	2	no	—
1106	C₂²	—	2	1	no	—
1107	C₂²	—	2	2	no	—
1108	C₂²	—	2	2	no	—
1109	C₂²	—	2	1	no	—
1110	C₂²	—	2	2	no	—
1111	C₂²	—	2	2	no	—
1112	C₂²	—	2	2	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	—	4	2	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	2	no	—
1119	C₂²	—	4	2	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	—	16	4	no	—
1122	C₂²	—	16	2	no	—
1123	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1124	C₄	—	2	1	no	—
1125	C₄	—	2	1	no	—
1126	C₄	—	2	1	no	—
1127	C₄	—	2	1	no	—
1128	C₄	—	2	1	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	2	2	no	—
1131	C₄	—	2	2	no	—
1132	C₄	—	4	2	no	—
1133	C₄	—	4	2	no	—
1134	C₄	—	4	1	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	2	no	—
1137	C₄	—	4	2	no	—
1138	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1139	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1140	C₂	—	4	1	no	—
1141	C₂	—	4	2	no	—
1142	C₂	—	4	2	no	—
1143	C₂	—	4	2	no	—
1144	C₂	—	8	2	no	—
1145	C₂	—	8	2	no	—
1146	C₂	C₁₃×#3484	1	1	yes	characteristic
1147	C₂	C₁₃×#3585	1	1	yes	characteristic
1148	C₂	C₁₃×#3586	1	1	yes	characteristic

	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×#3548	C₂	semidirect
2. C₁₃×#3500	C₂	semidirect
3. C₁₃×#3316	C₂	semidirect
4. C₁₃×#3314	C₂	semidirect
5. C₁₃×#3308	C₂	semidirect
6. C₁₃×#3306	C₂	semidirect
7. C₁₃×#3271	C₂	semidirect
8. C₁₃×#3269	C₂	semidirect
9. C₁₃×#3268	C₂	semidirect
10. C₁₃×#3267	C₂	semidirect
11. C₁₃×#3215	C₂	semidirect
12. C₁₃×#3213	C₂	semidirect
13. C₁₃×#3201	C₂	semidirect
14. C₁₃×#3198	C₂	semidirect
15. C₁₃×#3116	C₂	semidirect
16. C₁₃×#3115	C₂	semidirect
17. C₁₃×#3013	C₂	semidirect
18. C₁₃×#3012	C₂	semidirect
19. C₁₃×#2980	C₂	semidirect
22. C₂×C₁₃×#137	C₂²	semidirect
25. C₂×C₁₃×#135	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
31. C₁₃×#550	C₂²	semidirect
34. C₁₃×#547	C₂²	semidirect
35. C₁₃×#547	C₂²	semidirect
43. C₁₃×#537	C₂²	semidirect
48. C₁₃×#533	C₂²	semidirect
51. C₁₃×#532	C₂²	semidirect
55. C₁₃×#497	C₂²	semidirect
56. C₁₃×#496	C₂²	semidirect
57. C₁₃×#489	C₂²	semidirect
58. C₁₃×#489	C₂²	semidirect
59. C₁₃×#485	C₂²	semidirect
60. C₁₃×#484	C₂²	semidirect
61. C₁₃×#483	C₂²	semidirect
62. C₁₃×#482	C₂²	semidirect
63. C₁₃×#481	C₂²	semidirect
64. C₁₃×#480	C₂²	semidirect
65. C₁₃×#477	C₂²	semidirect
66. C₁₃×#476	C₂²	semidirect
67. C₁₃×#475	C₂²	semidirect
68. C₁₃×#474	C₂²	semidirect
69. C₁₃×#470	C₂²	semidirect
70. C₁₃×#469	C₂²	semidirect
71. C₁₃×#468	C₂²	semidirect
72. C₁₃×#468	C₂²	semidirect
73. C₁₃×#467	C₂²	semidirect
74. C₁₃×#466	C₂²	semidirect
75. C₁₃×#465	C₂²	semidirect
76. C₁₃×#465	C₂²	semidirect
77. C₁₃×#464	C₂²	semidirect
78. C₁₃×#464	C₂²	semidirect
79. C₁₃×#463	C₂²	semidirect
80. C₁₃×#463	C₂²	semidirect
81. C₁₃×#462	C₂²	semidirect
82. C₁₃×#461	C₂²	semidirect
83. C₁₃×#460	C₂²	semidirect
84. C₁₃×#459	C₂²	semidirect
87. C₁₃×#452	C₂²	semidirect
88. C₁₃×#452	C₂²	semidirect
89. C₁₃×#452	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₁₃×#451	C₂²	semidirect
96. C₁₃×#449	C₂²	semidirect
97. C₁₃×#449	C₂²	semidirect
98. C₁₃×#449	C₂²	semidirect
99. C₁₃×#448	C₂²	semidirect
100. C₁₃×#448	C₂²	semidirect
103. C₁₃×#442	C₂²	semidirect
104. C₁₃×#441	C₂²	semidirect
105. C₁₃×#440	C₂²	semidirect
106. C₁₃×#440	C₂²	semidirect
107. C₁₃×#435	C₂²	semidirect
108. C₁₃×#435	C₂²	semidirect
109. C₁₃×#435	C₂²	semidirect
110. C₁₃×#435	C₂²	semidirect
111. C₁₃×#432	C₂²	semidirect
112. C₁₃×#432	C₂²	semidirect
114. C₁₃×#417	C₂²	semidirect
115. C₂×C₁₃×#103	C₂²	semidirect
118. C₁₃×#408	C₂²	semidirect
288. #61677	C₁₃	direct (N × H)
440. #3548	C₂×C₁₃	semidirect
441. #3500	C₂×C₁₃	semidirect
442. #3316	C₂×C₁₃	semidirect
443. #3314	C₂×C₁₃	semidirect
444. #3308	C₂×C₁₃	semidirect
445. #3306	C₂×C₁₃	semidirect
446. #3271	C₂×C₁₃	semidirect
447. #3269	C₂×C₁₃	semidirect
448. #3268	C₂×C₁₃	semidirect
449. #3267	C₂×C₁₃	semidirect
450. #3215	C₂×C₁₃	semidirect
451. #3213	C₂×C₁₃	semidirect
452. #3201	C₂×C₁₃	semidirect
453. #3198	C₂×C₁₃	semidirect
454. #3116	C₂×C₁₃	semidirect
455. #3115	C₂×C₁₃	semidirect
456. #3013	C₂×C₁₃	semidirect
457. #3012	C₂×C₁₃	semidirect
458. #2980	C₂×C₁₃	semidirect
550. C₂×#137	C₂²×C₁₃	semidirect
553. C₂×#135	C₂²×C₁₃	semidirect
557. #554	C₂²×C₁₃	semidirect
559. #550	C₂²×C₁₃	semidirect
562. #547	C₂²×C₁₃	semidirect
563. #547	C₂²×C₁₃	semidirect
571. #537	C₂²×C₁₃	semidirect
576. #533	C₂²×C₁₃	semidirect
579. #532	C₂²×C₁₃	semidirect
583. #497	C₂²×C₁₃	semidirect
584. #496	C₂²×C₁₃	semidirect
585. #489	C₂²×C₁₃	semidirect
586. #489	C₂²×C₁₃	semidirect
587. #485	C₂²×C₁₃	semidirect
588. #484	C₂²×C₁₃	semidirect
589. #483	C₂²×C₁₃	semidirect
590. #482	C₂²×C₁₃	semidirect
591. #481	C₂²×C₁₃	semidirect
592. #480	C₂²×C₁₃	semidirect
593. #477	C₂²×C₁₃	semidirect
594. #476	C₂²×C₁₃	semidirect
595. #475	C₂²×C₁₃	semidirect
596. #474	C₂²×C₁₃	semidirect
597. #470	C₂²×C₁₃	semidirect
598. #469	C₂²×C₁₃	semidirect
599. #468	C₂²×C₁₃	semidirect
600. #468	C₂²×C₁₃	semidirect
601. #467	C₂²×C₁₃	semidirect
602. #466	C₂²×C₁₃	semidirect
603. #465	C₂²×C₁₃	semidirect
604. #465	C₂²×C₁₃	semidirect
605. #464	C₂²×C₁₃	semidirect
606. #464	C₂²×C₁₃	semidirect
607. #463	C₂²×C₁₃	semidirect
608. #463	C₂²×C₁₃	semidirect
609. #462	C₂²×C₁₃	semidirect
610. #461	C₂²×C₁₃	semidirect
611. #460	C₂²×C₁₃	semidirect
612. #459	C₂²×C₁₃	semidirect
615. #452	C₂²×C₁₃	semidirect
616. #452	C₂²×C₁₃	semidirect
617. #452	C₂²×C₁₃	semidirect
618. #451	C₂²×C₁₃	semidirect
619. #451	C₂²×C₁₃	semidirect
624. #449	C₂²×C₁₃	semidirect
625. #449	C₂²×C₁₃	semidirect
626. #449	C₂²×C₁₃	semidirect
627. #448	C₂²×C₁₃	semidirect
628. #448	C₂²×C₁₃	semidirect
631. #442	C₂²×C₁₃	semidirect
632. #441	C₂²×C₁₃	semidirect
633. #440	C₂²×C₁₃	semidirect
634. #440	C₂²×C₁₃	semidirect
635. #435	C₂²×C₁₃	semidirect
636. #435	C₂²×C₁₃	semidirect
637. #435	C₂²×C₁₃	semidirect
638. #435	C₂²×C₁₃	semidirect
639. #432	C₂²×C₁₃	semidirect
640. #432	C₂²×C₁₃	semidirect
642. #417	C₂²×C₁₃	semidirect
643. C₂×#103	C₂²×C₁₃	semidirect
646. #408	C₂²×C₁₃	semidirect
1013. C₁₃	#61677	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×#3548	2
C₁₃×#3500	2
C₁₃×#3316	2
C₁₃×#3314	2
C₁₃×#3308	2
C₁₃×#3306	2
C₁₃×#3271	2
C₁₃×#3269	2
C₁₃×#3268	2
C₁₃×#3267	2
C₁₃×#3215	2
C₁₃×#3213	2
C₁₃×#3201	2
C₁₃×#3198	2
C₁₃×#3116	2
C₁₃×#3115	2
C₁₃×#3013	2
C₁₃×#3012	2
C₁₃×#2980	2
#61677	13

Subgroups — C13×#61677 #15748016

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61677 #15748016