Subgroups — C₁₃×#61643 #15747982

Order 3328.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1090 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3539	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3323	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3322	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3310	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3274	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3272	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×#3222	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3220	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3197	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3123	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3122	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3012	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3003	C₂	1	2	yes	maximal, complemented
19	C₁₃×#2978	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
21	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
23	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
25	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
26	C₁₃×#560	—	2	2	no	—
27	C₁₃×#553	—	2	2	no	—
28	C₁₃×#553	C₂²	1	2	yes	complemented
29	C₁₃×#552	C₂²	1	2	yes	complemented
30	C₁₃×#550	C₂²	1	2	yes	complemented
31	C₁₃×#547	C₂²	1	2	yes	complemented
32	C₁₃×#546	—	2	2	no	—
33	C₁₃×#546	C₂²	1	2	yes	—
34	C₁₃×#546	C₂²	1	2	yes	—
35	D₄²×C₁₃	—	2	2	no	—
36	D₄²×C₁₃	C₂²	1	2	yes	—
37	D₄²×C₁₃	C₂²	1	2	yes	—
38	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#540	—	2	2	no	—
40	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#539	—	2	2	no	—
42	C₁₃×#537	C₂²	1	2	yes	complemented
43	C₁₃×#535	C₂²	1	1	yes	characteristic
44	C₁₃×#535	C₂²	1	1	yes	characteristic
45	C₁₃×#534	—	2	2	no	—
46	C₁₃×#525	C₂²	1	1	yes	characteristic
47	C₁₃×#525	C₂²	1	1	yes	characteristic
48	C₁₃×#525	C₂²	1	2	yes	complemented
49	C₂×C₁₃×#120	—	2	2	no	—
50	C₁₃×#518	C₂²	1	1	yes	characteristic
51	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#485	C₂²	1	2	yes	complemented
60	C₁₃×#485	C₂²	1	2	yes	complemented
61	C₁₃×#482	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×#478	C₂²	1	2	yes	complemented
66	C₁₃×#478	C₂²	1	2	yes	complemented
67	C₁₃×#470	C₂²	1	2	yes	complemented
68	C₁₃×#469	C₂²	1	2	yes	complemented
69	C₁₃×#469	C₂²	1	2	yes	complemented
70	C₁₃×#468	C₂²	1	2	yes	complemented
71	C₁₃×#468	C₂²	1	2	yes	complemented
72	C₁₃×#468	C₂²	1	2	yes	complemented
73	C₁₃×#466	C₂²	1	2	yes	complemented
74	C₁₃×#465	C₂²	1	2	yes	complemented
75	C₁₃×#464	C₂²	1	2	yes	complemented
76	C₁₃×#463	C₂²	1	2	yes	complemented
77	C₁₃×#461	C₂²	1	2	yes	complemented
78	C₁₃×#460	C₂²	1	2	yes	complemented
79	C₁₃×#459	C₂²	1	2	yes	complemented
80	C₁₃×#459	C₂²	1	2	yes	complemented
81	C₁₃×#452	C₂²	1	2	yes	complemented
82	C₁₃×#452	C₂²	1	2	yes	complemented
83	C₁₃×#452	C₂²	1	2	yes	complemented
84	C₁₃×#450	C₂²	1	2	yes	—
85	C₁₃×#450	C₂²	1	2	yes	complemented
86	C₁₃×#450	C₂²	1	2	yes	complemented
87	C₁₃×#450	C₂²	1	2	yes	complemented
88	C₁₃×#450	C₂²	1	2	yes	complemented
89	C₁₃×#449	C₂²	1	2	yes	complemented
90	C₁₃×#449	C₂²	1	2	yes	complemented
91	C₁₃×#449	C₂²	1	2	yes	complemented
92	C₁₃×#449	C₂²	1	2	yes	complemented
93	C₁₃×#449	C₂²	1	2	yes	complemented
94	C₁₃×#447	C₂²	1	2	yes	—
95	C₁₃×#447	C₂²	1	2	yes	complemented
96	C₁₃×#447	C₂²	1	2	yes	complemented
97	C₁₃×#447	C₂²	1	2	yes	complemented
98	C₁₃×#447	C₂²	1	2	yes	complemented
99	C₁₃×#442	C₂²	1	2	yes	complemented
100	C₁₃×#440	C₂²	1	2	yes	complemented
101	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
102	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
103	C₁₃×#436	C₂²	1	2	yes	complemented
104	C₁₃×#436	C₂²	1	2	yes	complemented
105	C₁₃×#435	C₂²	1	2	yes	complemented
106	C₁₃×#435	C₂²	1	2	yes	complemented
107	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#418	C₂²	1	2	yes	complemented
110	C₁₃×#418	C₂²	1	2	yes	complemented
111	C₁₃×#417	C₂²	1	2	yes	complemented
112	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
113	C₁₃×#408	C₂²	1	2	yes	complemented
114	C₁₃×#407	C₂²	1	2	yes	complemented
115	C₂⁵×C₁₃	—	2	1	no	—
116	C₁₃×H(5,𝔽₂)	—	4	4	no	—
117	C₂×C₁₃×#41	—	2	1	no	—
118	C₂×C₁₃×#41	C₂³	1	2	yes	—
119	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
120	C₂×C₁₃×#41	C₂³	1	2	yes	—
121	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
122	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
123	C₂²×D₄×C₁₃	—	2	2	no	—
124	C₂²×D₄×C₁₃	—	2	1	no	—
125	C₂²×D₄×C₁₃	—	2	2	no	—
126	C₂²×D₄×C₁₃	—	2	2	no	—
127	C₂²×D₄×C₁₃	—	2	1	no	—
128	C₂²×D₄×C₁₃	—	2	2	no	—
129	C₂²×D₄×C₁₃	—	4	4	no	—
130	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
132	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
133	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
136	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
137	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
138	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
139	C₁₃×#135	—	4	4	no	—
140	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	complemented
141	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
142	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
146	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
147	C₂×C₁₃×D₈	C₂³	1	2	yes	—
148	C₂×C₁₃×D₈	C₂³	1	2	yes	—
149	C₂×C₁₃×D₈	C₂³	1	2	yes	—
150	C₂×C₁₃×D₈	C₂³	1	2	yes	—
151	C₂×C₁₃×D₈	C₂³	1	2	yes	complemented
152	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×M₁₆	C₂³	1	2	yes	complemented
155	C₂²×C₈×C₁₃	C₂³	1	2	yes	complemented
156	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
157	C₁₃×#127	—	2	1	no	—
158	C₁₃×#127	—	2	2	no	—
159	C₁₃×#127	C₂³	1	1	yes	characteristic
160	C₁₃×#127	C₂³	1	1	yes	characteristic
161	C₁₃×#127	C₂³	1	1	yes	characteristic, complemented
162	C₁₃×#126	—	2	2	no	—
163	C₁₃×#126	—	2	2	no	—
164	C₁₃×#126	—	2	2	no	—
165	C₁₃×#125	—	2	2	no	—
166	C₁₃×#125	—	2	2	no	—
167	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
168	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
169	C₁₃×#124	—	2	1	no	—
170	C₁₃×#124	C₂³	1	1	yes	characteristic
171	C₁₃×#124	C₂³	1	1	yes	characteristic
172	C₁₃×#123	—	2	2	no	—
173	C₁₃×#123	—	2	1	no	—
174	C₁₃×#123	—	2	2	no	—
175	C₁₃×#123	—	2	2	no	—
176	C₁₃×#123	—	2	2	no	—
177	C₁₃×#123	—	2	2	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	D₄	1	2	yes	—
182	C₁₃×C₂²⋊Q₈	—	2	2	no	—
183	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
184	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
185	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
186	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
187	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
188	C₁₃×#121	—	2	2	no	—
189	C₁₃×#121	—	2	2	no	—
190	C₁₃×#121	—	2	2	no	—
191	C₁₃×#121	—	2	2	no	—
192	C₁₃×#121	—	2	2	no	—
193	C₁₃×#121	—	2	2	no	—
194	C₁₃×#121	—	2	2	no	—
195	C₁₃×#121	—	2	2	no	—
196	C₁₃×#121	—	2	2	no	—
197	C₁₃×#121	—	2	2	no	—
198	C₁₃×#121	—	2	2	no	—
199	C₁₃×#121	—	2	2	no	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	D₄	1	2	yes	—
202	C₁₃×#121	C₂³	1	2	yes	—
203	C₁₃×#121	C₂³	1	2	yes	—
204	C₁₃×#121	C₂³	1	2	yes	—
205	C₁₃×#121	C₂³	1	2	yes	—
206	C₁₃×#121	C₂³	1	2	yes	—
207	C₁₃×#121	C₂³	1	2	yes	complemented
208	C₁₃×#120	—	2	1	no	—
209	C₁₃×#120	—	2	2	no	—
210	C₁₃×#120	—	2	2	no	—
211	C₁₃×#120	—	2	2	no	—
212	C₁₃×#120	—	2	2	no	—
213	C₁₃×#120	—	2	2	no	—
214	C₁₃×#120	—	2	2	no	—
215	C₁₃×#120	—	2	2	no	—
216	C₁₃×#120	—	2	2	no	—
217	C₁₃×#120	—	2	2	no	—
218	C₁₃×#120	D₄	1	2	yes	—
219	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
220	C₄×D₄×C₁₃	—	2	2	no	—
221	C₄×D₄×C₁₃	—	2	2	no	—
222	C₄×D₄×C₁₃	—	2	2	no	—
223	C₄×D₄×C₁₃	—	2	2	no	—
224	C₄×D₄×C₁₃	—	2	2	no	—
225	C₄×D₄×C₁₃	—	2	2	no	—
226	C₄×D₄×C₁₃	C₂³	1	2	yes	—
227	C₄×D₄×C₁₃	C₂³	1	2	yes	—
228	C₄×D₄×C₁₃	C₂³	1	2	yes	—
229	C₄×D₄×C₁₃	C₂³	1	2	yes	—
230	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
231	C₁₃×#117	—	2	2	no	—
232	C₁₃×#117	C₂³	1	2	yes	—
233	C₁₃×#117	C₂³	1	1	yes	characteristic
234	C₁₃×#117	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
236	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
237	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
238	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
239	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
240	C₁₃×#107	C₂³	1	2	yes	complemented
241	C₁₃×#107	C₂³	1	2	yes	complemented
242	C₁₃×#106	C₂³	1	2	yes	complemented
243	C₁₃×#106	C₂³	1	2	yes	complemented
244	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
245	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
246	C₁₃×#103	C₂³	1	2	yes	complemented
247	C₁₃×#103	C₂³	1	2	yes	complemented
248	C₁₃×#103	C₂³	1	2	yes	complemented
249	C₁₃×#103	C₂³	1	2	yes	complemented
250	C₁₃×#102	C₂³	1	2	yes	—
251	C₁₃×#102	C₂³	1	2	yes	—
252	C₁₃×#102	C₂³	1	2	yes	—
253	C₁₃×#102	C₂³	1	2	yes	—
254	C₁₃×#102	C₂³	1	2	yes	—
255	C₁₃×#102	C₂³	1	2	yes	—
256	C₁₃×#102	C₂³	1	2	yes	—
257	C₁₃×#102	C₂³	1	2	yes	—
258	C₁₃×#102	C₂³	1	2	yes	complemented
259	C₁₃×#102	C₂³	1	2	yes	complemented
260	C₁₃×#102	C₂³	1	2	yes	complemented
261	C₁₃×#102	C₂³	1	2	yes	complemented
262	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
263	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
264	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
265	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
266	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
267	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
268	C₁₃×#97	C₂³	1	1	yes	characteristic, complemented
269	C₁₃×#97	C₂³	1	1	yes	characteristic, complemented
270	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
271	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
272	#61643	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
273	C₂⁴×C₁₃	—	2	1	no	—
274	C₂⁴×C₁₃	—	2	2	no	—
275	C₂⁴×C₁₃	—	2	2	no	—
276	C₂⁴×C₁₃	—	2	1	no	—
277	C₂⁴×C₁₃	—	2	2	no	—
278	C₂⁴×C₁₃	—	4	4	no	—
279	C₂⁴×C₁₃	—	8	4	no	—
280	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
281	C₁₃×#41	—	2	4	no	—
282	C₁₃×#41	—	4	2	no	—
283	C₁₃×#41	—	4	2	no	—
284	C₁₃×#41	—	4	2	no	—
285	C₁₃×#41	—	4	2	no	—
286	C₁₃×#41	—	4	2	no	—
287	C₁₃×#41	—	4	2	no	—
288	C₁₃×#41	—	4	2	no	—
289	C₁₃×#41	—	4	4	no	—
290	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
291	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
292	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
293	C₂×D₄×C₁₃	—	2	4	no	—
294	C₂×D₄×C₁₃	—	2	4	no	—
295	C₂×D₄×C₁₃	—	2	4	no	—
296	C₂×D₄×C₁₃	—	2	4	no	—
297	C₂×D₄×C₁₃	—	2	2	no	—
298	C₂×D₄×C₁₃	—	2	1	no	—
299	C₂×D₄×C₁₃	—	2	2	no	—
300	C₂×D₄×C₁₃	—	2	2	no	—
301	C₂×D₄×C₁₃	—	2	2	no	—
302	C₂×D₄×C₁₃	—	2	2	no	—
303	C₂×D₄×C₁₃	—	2	2	no	—
304	C₂×D₄×C₁₃	—	2	2	no	—
305	C₂×D₄×C₁₃	—	2	2	no	—
306	C₂×D₄×C₁₃	—	2	2	no	—
307	C₂×D₄×C₁₃	—	2	1	no	—
308	C₂×D₄×C₁₃	—	2	2	no	—
309	C₂×D₄×C₁₃	—	2	2	no	—
310	C₂×D₄×C₁₃	—	2	2	no	—
311	C₂×D₄×C₁₃	—	2	1	no	—
312	C₂×D₄×C₁₃	—	2	2	no	—
313	C₂×D₄×C₁₃	—	2	2	no	—
314	C₂×D₄×C₁₃	—	2	2	no	—
315	C₂×D₄×C₁₃	—	4	2	no	—
316	C₂×D₄×C₁₃	—	4	2	no	—
317	C₂×D₄×C₁₃	—	4	2	no	—
318	C₂×D₄×C₁₃	—	4	2	no	—
319	C₂×D₄×C₁₃	—	4	8	no	—
320	C₂×D₄×C₁₃	—	4	4	no	—
321	C₂×D₄×C₁₃	—	4	4	no	—
322	C₂×D₄×C₁₃	—	4	8	no	—
323	C₂×D₄×C₁₃	—	8	4	no	—
324	C₂×D₄×C₁₃	—	8	4	no	—
325	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
326	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
327	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
328	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
329	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
330	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
333	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
334	C₂²×C₄×C₁₃	—	2	2	no	—
335	C₂²×C₄×C₁₃	—	2	2	no	—
336	C₂²×C₄×C₁₃	—	2	1	no	—
337	C₂²×C₄×C₁₃	—	2	2	no	—
338	C₂²×C₄×C₁₃	—	2	2	no	—
339	C₂²×C₄×C₁₃	—	2	2	no	—
340	C₂²×C₄×C₁₃	—	2	2	no	—
341	C₂²×C₄×C₁₃	—	2	2	no	—
342	C₂²×C₄×C₁₃	—	4	2	no	—
343	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
344	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
345	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
348	C₁₃×Q₁₆	—	4	2	no	—
349	C₁₃×SD₁₆	—	2	4	no	—
350	C₁₃×SD₁₆	—	2	4	no	—
351	C₁₃×SD₁₆	—	4	2	no	—
352	C₁₃×SD₁₆	—	4	2	no	—
353	C₁₃×SD₁₆	—	4	2	no	—
354	C₁₃×SD₁₆	—	4	2	no	—
355	C₁₃×D₈	—	2	4	no	—
356	C₁₃×D₈	—	2	4	no	—
357	C₁₃×D₈	—	4	2	no	—
358	C₁₃×D₈	—	4	2	no	—
359	C₁₃×D₈	—	4	2	no	—
360	C₁₃×M₁₆	—	4	2	no	—
361	C₁₃×M₁₆	—	4	2	no	—
362	C₁₃×M₁₆	—	4	2	no	—
363	C₂×C₈×C₁₃	—	4	2	no	—
364	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
365	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
366	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
367	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
368	C₁₃×C₄⋊C₄	—	2	2	no	—
369	C₁₃×C₄⋊C₄	—	2	2	no	—
370	C₁₃×C₄⋊C₄	—	2	2	no	—
371	C₁₃×C₄⋊C₄	—	2	2	no	—
372	C₁₃×C₄⋊C₄	—	2	2	no	—
373	C₁₃×C₄⋊C₄	—	2	2	no	—
374	C₁₃×C₄⋊C₄	—	2	2	no	—
375	C₁₃×C₄⋊C₄	—	2	2	no	—
376	C₁₃×C₄⋊C₄	—	2	2	no	—
377	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
378	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
379	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
380	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
381	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
382	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
383	C₁₃×C₂²⋊C₄	—	2	1	no	—
384	C₁₃×C₂²⋊C₄	—	2	2	no	—
385	C₁₃×C₂²⋊C₄	—	2	2	no	—
386	C₁₃×C₂²⋊C₄	—	2	2	no	—
387	C₁₃×C₂²⋊C₄	—	2	2	no	—
388	C₁₃×C₂²⋊C₄	—	2	2	no	—
389	C₁₃×C₂²⋊C₄	—	2	2	no	—
390	C₁₃×C₂²⋊C₄	—	2	2	no	—
391	C₁₃×C₂²⋊C₄	—	2	2	no	—
392	C₁₃×C₂²⋊C₄	—	2	2	no	—
393	C₁₃×C₂²⋊C₄	—	2	2	no	—
394	C₁₃×C₂²⋊C₄	—	2	2	no	—
395	C₁₃×C₂²⋊C₄	—	2	2	no	—
396	C₁₃×C₂²⋊C₄	—	2	2	no	—
397	C₁₃×C₂²⋊C₄	—	2	2	no	—
398	C₁₃×C₂²⋊C₄	—	2	2	no	—
399	C₁₃×C₂²⋊C₄	—	2	2	no	—
400	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
401	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
403	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
405	C₄²×C₁₃	—	2	2	no	—
406	C₄²×C₁₃	—	2	2	no	—
407	C₄²×C₁₃	—	2	1	no	—
408	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
410	#3539	C₂×C₁₃	1	1	yes	characteristic, complemented
411	#3484	C₂×C₁₃	1	1	yes	characteristic, complemented
412	#3323	C₂×C₁₃	1	2	yes	complemented
413	#3322	C₂×C₁₃	1	2	yes	complemented
414	#3318	C₂×C₁₃	1	2	yes	complemented
415	#3310	C₂×C₁₃	1	2	yes	complemented
416	#3274	C₂×C₁₃	1	2	yes	complemented
417	#3272	C₂×C₁₃	1	2	yes	complemented
418	#3268	C₂×C₁₃	1	2	yes	complemented
419	#3267	C₂×C₁₃	1	2	yes	complemented
420	#3222	C₂×C₁₃	1	1	yes	characteristic, complemented
421	#3220	C₂×C₁₃	1	1	yes	characteristic, complemented
422	#3198	C₂×C₁₃	1	2	yes	complemented
423	#3197	C₂×C₁₃	1	2	yes	complemented
424	#3123	C₂×C₁₃	1	1	yes	characteristic, complemented
425	#3122	C₂×C₁₃	1	1	yes	characteristic, complemented
426	#3012	C₂×C₁₃	1	2	yes	complemented
427	#3003	C₂×C₁₃	1	2	yes	complemented
428	#2978	C₂×C₁₃	1	1	yes	characteristic, complemented
429	C₂³×C₁₃	—	2	4	no	—
430	C₂³×C₁₃	—	2	2	no	—
431	C₂³×C₁₃	—	2	2	no	—
432	C₂³×C₁₃	—	2	1	no	—
433	C₂³×C₁₃	—	2	1	no	—
434	C₂³×C₁₃	—	2	1	no	—
435	C₂³×C₁₃	—	4	1	no	—
436	C₂³×C₁₃	—	4	2	no	—
437	C₂³×C₁₃	—	4	4	no	—
438	C₂³×C₁₃	—	4	4	no	—
439	C₂³×C₁₃	—	4	4	no	—
440	C₂³×C₁₃	—	4	2	no	—
441	C₂³×C₁₃	—	4	4	no	—
442	C₂³×C₁₃	—	4	4	no	—
443	C₂³×C₁₃	—	8	2	no	—
444	C₂³×C₁₃	—	8	2	no	—
445	C₂³×C₁₃	—	8	2	no	—
446	C₂³×C₁₃	—	8	2	no	—
447	C₂³×C₁₃	—	8	2	no	—
448	C₂³×C₁₃	—	8	2	no	—
449	C₂³×C₁₃	—	8	16	no	—
450	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
451	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
452	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
453	Q₈×C₁₃	—	2	2	no	—
454	Q₈×C₁₃	—	2	2	no	—
455	Q₈×C₁₃	—	2	2	no	—
456	Q₈×C₁₃	—	4	1	no	—
457	D₄×C₁₃	—	2	4	no	—
458	D₄×C₁₃	—	2	2	no	—
459	D₄×C₁₃	—	2	2	no	—
460	D₄×C₁₃	—	2	2	no	—
461	D₄×C₁₃	—	2	2	no	—
462	D₄×C₁₃	—	2	2	no	—
463	D₄×C₁₃	—	2	2	no	—
464	D₄×C₁₃	—	4	1	no	—
465	D₄×C₁₃	—	4	2	no	—
466	D₄×C₁₃	—	4	2	no	—
467	D₄×C₁₃	—	4	2	no	—
468	D₄×C₁₃	—	4	4	no	—
469	D₄×C₁₃	—	4	4	no	—
470	D₄×C₁₃	—	4	4	no	—
471	D₄×C₁₃	—	4	2	no	—
472	D₄×C₁₃	—	4	4	no	—
473	D₄×C₁₃	—	4	2	no	—
474	D₄×C₁₃	—	4	4	no	—
475	D₄×C₁₃	—	8	2	no	—
476	D₄×C₁₃	—	8	2	no	—
477	D₄×C₁₃	—	8	2	no	—
478	D₄×C₁₃	—	8	2	no	—
479	D₄×C₁₃	—	8	2	no	—
480	D₄×C₁₃	—	8	2	no	—
481	D₄×C₁₃	—	8	2	no	—
482	D₄×C₁₃	—	8	2	no	—
483	D₄×C₁₃	—	8	2	no	—
484	D₄×C₁₃	—	8	2	no	—
485	D₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
486	C₂×C₄×C₁₃	—	2	2	no	—
487	C₂×C₄×C₁₃	—	2	2	no	—
488	C₂×C₄×C₁₃	—	2	2	no	—
489	C₂×C₄×C₁₃	—	2	2	no	—
490	C₂×C₄×C₁₃	—	2	2	no	—
491	C₂×C₄×C₁₃	—	2	2	no	—
492	C₂×C₄×C₁₃	—	2	2	no	—
493	C₂×C₄×C₁₃	—	2	2	no	—
494	C₂×C₄×C₁₃	—	2	2	no	—
495	C₂×C₄×C₁₃	—	2	1	no	—
496	C₂×C₄×C₁₃	—	4	2	no	—
497	C₂×C₄×C₁₃	—	4	1	no	—
498	C₂×C₄×C₁₃	—	4	4	no	—
499	C₂×C₄×C₁₃	—	4	2	no	—
500	C₂×C₄×C₁₃	—	8	2	no	—
501	C₂×C₄×C₁₃	—	8	2	no	—
502	C₂×C₄×C₁₃	—	8	2	no	—
503	C₂×C₄×C₁₃	—	8	2	no	—
504	C₂×C₄×C₁₃	—	8	2	no	—
505	C₂×C₄×C₁₃	—	8	2	no	—
506	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
507	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
508	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
510	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
511	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
512	C₈×C₁₃	—	2	2	no	—
513	C₈×C₁₃	—	2	2	no	—
514	C₈×C₁₃	—	2	2	no	—
515	C₈×C₁₃	—	2	2	no	—
516	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
517	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
518	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
519	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
520	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
521	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
522	#560	—	2	2	no	—
523	#553	—	2	2	no	—
524	#553	C₂²×C₁₃	1	2	yes	complemented
525	#552	C₂²×C₁₃	1	2	yes	complemented
526	#550	C₂²×C₁₃	1	2	yes	complemented
527	#547	C₂²×C₁₃	1	2	yes	complemented
528	#546	—	2	2	no	—
529	#546	C₂²×C₁₃	1	2	yes	—
530	#546	C₂²×C₁₃	1	2	yes	—
531	D₄²	—	2	2	no	—
532	D₄²	C₂²×C₁₃	1	2	yes	—
533	D₄²	C₂²×C₁₃	1	2	yes	—
534	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
535	#540	—	2	2	no	—
536	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
537	#539	—	2	2	no	—
538	#537	C₂²×C₁₃	1	2	yes	complemented
539	#535	C₂²×C₁₃	1	1	yes	characteristic
540	#535	C₂²×C₁₃	1	1	yes	characteristic
541	#534	—	2	2	no	—
542	#525	C₂²×C₁₃	1	1	yes	characteristic
543	#525	C₂²×C₁₃	1	1	yes	characteristic
544	#525	C₂²×C₁₃	1	2	yes	complemented
545	C₂×#120	—	2	2	no	—
546	#518	C₂²×C₁₃	1	1	yes	characteristic
547	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
548	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
549	#493	C₂²×C₁₃	1	1	yes	characteristic, complemented
550	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
551	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
552	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
553	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
554	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
555	#485	C₂²×C₁₃	1	2	yes	complemented
556	#485	C₂²×C₁₃	1	2	yes	complemented
557	#482	C₂²×C₁₃	1	2	yes	complemented
558	#482	C₂²×C₁₃	1	2	yes	complemented
559	#481	C₂²×C₁₃	1	2	yes	complemented
560	#480	C₂²×C₁₃	1	2	yes	complemented
561	#478	C₂²×C₁₃	1	2	yes	complemented
562	#478	C₂²×C₁₃	1	2	yes	complemented
563	#470	C₂²×C₁₃	1	2	yes	complemented
564	#469	C₂²×C₁₃	1	2	yes	complemented
565	#469	C₂²×C₁₃	1	2	yes	complemented
566	#468	C₂²×C₁₃	1	2	yes	complemented
567	#468	C₂²×C₁₃	1	2	yes	complemented
568	#468	C₂²×C₁₃	1	2	yes	complemented
569	#466	C₂²×C₁₃	1	2	yes	complemented
570	#465	C₂²×C₁₃	1	2	yes	complemented
571	#464	C₂²×C₁₃	1	2	yes	complemented
572	#463	C₂²×C₁₃	1	2	yes	complemented
573	#461	C₂²×C₁₃	1	2	yes	complemented
574	#460	C₂²×C₁₃	1	2	yes	complemented
575	#459	C₂²×C₁₃	1	2	yes	complemented
576	#459	C₂²×C₁₃	1	2	yes	complemented
577	#452	C₂²×C₁₃	1	2	yes	complemented
578	#452	C₂²×C₁₃	1	2	yes	complemented
579	#452	C₂²×C₁₃	1	2	yes	complemented
580	#450	C₂²×C₁₃	1	2	yes	—
581	#450	C₂²×C₁₃	1	2	yes	complemented
582	#450	C₂²×C₁₃	1	2	yes	complemented
583	#450	C₂²×C₁₃	1	2	yes	complemented
584	#450	C₂²×C₁₃	1	2	yes	complemented
585	#449	C₂²×C₁₃	1	2	yes	complemented
586	#449	C₂²×C₁₃	1	2	yes	complemented
587	#449	C₂²×C₁₃	1	2	yes	complemented
588	#449	C₂²×C₁₃	1	2	yes	complemented
589	#449	C₂²×C₁₃	1	2	yes	complemented
590	#447	C₂²×C₁₃	1	2	yes	—
591	#447	C₂²×C₁₃	1	2	yes	complemented
592	#447	C₂²×C₁₃	1	2	yes	complemented
593	#447	C₂²×C₁₃	1	2	yes	complemented
594	#447	C₂²×C₁₃	1	2	yes	complemented
595	#442	C₂²×C₁₃	1	2	yes	complemented
596	#440	C₂²×C₁₃	1	2	yes	complemented
597	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
598	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
599	#436	C₂²×C₁₃	1	2	yes	complemented
600	#436	C₂²×C₁₃	1	2	yes	complemented
601	#435	C₂²×C₁₃	1	2	yes	complemented
602	#435	C₂²×C₁₃	1	2	yes	complemented
603	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
605	#418	C₂²×C₁₃	1	2	yes	complemented
606	#418	C₂²×C₁₃	1	2	yes	complemented
607	#417	C₂²×C₁₃	1	2	yes	complemented
608	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
609	#408	C₂²×C₁₃	1	2	yes	complemented
610	#407	C₂²×C₁₃	1	2	yes	complemented
611	C₂²×C₁₃	—	2	2	no	—
612	C₂²×C₁₃	—	2	2	no	—
613	C₂²×C₁₃	—	2	2	no	—
614	C₂²×C₁₃	—	2	2	no	—
615	C₂²×C₁₃	—	2	2	no	—
616	C₂²×C₁₃	—	2	1	no	—
617	C₂²×C₁₃	—	2	2	no	—
618	C₂²×C₁₃	—	2	2	no	—
619	C₂²×C₁₃	—	2	4	no	—
620	C₂²×C₁₃	—	4	4	no	—
621	C₂²×C₁₃	—	4	2	no	—
622	C₂²×C₁₃	—	4	2	no	—
623	C₂²×C₁₃	—	4	2	no	—
624	C₂²×C₁₃	—	4	2	no	—
625	C₂²×C₁₃	—	4	2	no	—
626	C₂²×C₁₃	—	4	2	no	—
627	C₂²×C₁₃	—	4	2	no	—
628	C₂²×C₁₃	—	4	1	no	—
629	C₂²×C₁₃	—	4	2	no	—
630	C₂²×C₁₃	—	4	1	no	—
631	C₂²×C₁₃	—	4	1	no	—
632	C₂²×C₁₃	—	8	4	no	—
633	C₂²×C₁₃	—	8	8	no	—
634	C₂²×C₁₃	—	8	8	no	—
635	C₂²×C₁₃	—	8	4	no	—
636	C₂²×C₁₃	—	16	4	no	—
637	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
638	C₄×C₁₃	—	2	2	no	—
639	C₄×C₁₃	—	2	2	no	—
640	C₄×C₁₃	—	2	1	no	—
641	C₄×C₁₃	—	2	2	no	—
642	C₄×C₁₃	—	2	2	no	—
643	C₄×C₁₃	—	4	2	no	—
644	C₄×C₁₃	—	4	2	no	—
645	C₄×C₁₃	—	4	2	no	—
646	C₄×C₁₃	—	4	1	no	—
647	C₄×C₁₃	—	4	2	no	—
648	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
649	C₂⁵	—	2	1	no	—
650	H(5,𝔽₂)	—	4	4	no	—
651	C₂×#41	—	2	1	no	—
652	C₂×#41	C₂³×C₁₃	1	2	yes	—
653	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
654	C₂×#41	C₂³×C₁₃	1	2	yes	—
655	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
656	C₂×#41	C₂³×C₁₃	1	2	yes	complemented
657	C₂²×D₄	—	2	2	no	—
658	C₂²×D₄	—	2	1	no	—
659	C₂²×D₄	—	2	2	no	—
660	C₂²×D₄	—	2	2	no	—
661	C₂²×D₄	—	2	1	no	—
662	C₂²×D₄	—	2	2	no	—
663	C₂²×D₄	—	4	4	no	—
664	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
665	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
666	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
667	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
668	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
669	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
670	AGL(1,ℤ/8)	—	4	4	no	—
671	AGL(1,ℤ/8)	—	4	4	no	—
672	AGL(1,ℤ/8)	—	4	4	no	—
673	#135	—	4	4	no	—
674	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	complemented
675	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
676	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
677	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
678	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
679	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
680	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
681	C₂×D₈	C₂³×C₁₃	1	2	yes	—
682	C₂×D₈	C₂³×C₁₃	1	2	yes	—
683	C₂×D₈	C₂³×C₁₃	1	2	yes	—
684	C₂×D₈	C₂³×C₁₃	1	2	yes	—
685	C₂×D₈	C₂³×C₁₃	1	2	yes	complemented
686	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
687	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
688	C₂×M₁₆	C₂³×C₁₃	1	2	yes	complemented
689	C₂²×C₈	C₂³×C₁₃	1	2	yes	complemented
690	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
691	#127	—	2	1	no	—
692	#127	—	2	2	no	—
693	#127	C₂³×C₁₃	1	1	yes	characteristic
694	#127	C₂³×C₁₃	1	1	yes	characteristic
695	#127	C₂³×C₁₃	1	1	yes	characteristic, complemented
696	#126	—	2	2	no	—
697	#126	—	2	2	no	—
698	#126	—	2	2	no	—
699	#125	—	2	2	no	—
700	#125	—	2	2	no	—
701	#125	C₂³×C₁₃	1	1	yes	characteristic, complemented
702	#125	C₂³×C₁₃	1	1	yes	characteristic, complemented
703	#124	—	2	1	no	—
704	#124	C₂³×C₁₃	1	1	yes	characteristic
705	#124	C₂³×C₁₃	1	1	yes	characteristic
706	#123	—	2	2	no	—
707	#123	—	2	1	no	—
708	#123	—	2	2	no	—
709	#123	—	2	2	no	—
710	#123	—	2	2	no	—
711	#123	—	2	2	no	—
712	#123	—	2	2	no	—
713	#123	—	2	2	no	—
714	#123	—	2	2	no	—
715	#123	D₄×C₁₃	1	2	yes	—
716	C₂²⋊Q₈	—	2	2	no	—
717	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
718	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
719	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
720	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
721	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
722	#121	—	2	2	no	—
723	#121	—	2	2	no	—
724	#121	—	2	2	no	—
725	#121	—	2	2	no	—
726	#121	—	2	2	no	—
727	#121	—	2	2	no	—
728	#121	—	2	2	no	—
729	#121	—	2	2	no	—
730	#121	—	2	2	no	—
731	#121	—	2	2	no	—
732	#121	—	2	2	no	—
733	#121	—	2	2	no	—
734	#121	—	2	2	no	—
735	#121	D₄×C₁₃	1	2	yes	—
736	#121	C₂³×C₁₃	1	2	yes	—
737	#121	C₂³×C₁₃	1	2	yes	—
738	#121	C₂³×C₁₃	1	2	yes	—
739	#121	C₂³×C₁₃	1	2	yes	—
740	#121	C₂³×C₁₃	1	2	yes	—
741	#121	C₂³×C₁₃	1	2	yes	complemented
742	#120	—	2	1	no	—
743	#120	—	2	2	no	—
744	#120	—	2	2	no	—
745	#120	—	2	2	no	—
746	#120	—	2	2	no	—
747	#120	—	2	2	no	—
748	#120	—	2	2	no	—
749	#120	—	2	2	no	—
750	#120	—	2	2	no	—
751	#120	—	2	2	no	—
752	#120	D₄×C₁₃	1	2	yes	—
753	C₄×Q₈	C₂³×C₁₃	1	2	yes	complemented
754	C₄×D₄	—	2	2	no	—
755	C₄×D₄	—	2	2	no	—
756	C₄×D₄	—	2	2	no	—
757	C₄×D₄	—	2	2	no	—
758	C₄×D₄	—	2	2	no	—
759	C₄×D₄	—	2	2	no	—
760	C₄×D₄	C₂³×C₁₃	1	2	yes	—
761	C₄×D₄	C₂³×C₁₃	1	2	yes	—
762	C₄×D₄	C₂³×C₁₃	1	2	yes	—
763	C₄×D₄	C₂³×C₁₃	1	2	yes	—
764	C₄×D₄	C₂³×C₁₃	1	2	yes	complemented
765	#117	—	2	2	no	—
766	#117	C₂³×C₁₃	1	1	yes	characteristic
767	#117	C₂³×C₁₃	1	2	yes	—
768	#117	C₂³×C₁₃	1	1	yes	characteristic
769	C₂×C₄⋊C₄	—	2	2	no	—
770	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	complemented
771	C₂×C₂²⋊C₄	—	2	2	no	—
772	C₂×C₂²⋊C₄	—	2	2	no	—
773	C₂×C₂²⋊C₄	—	2	2	no	—
774	#107	C₂³×C₁₃	1	2	yes	complemented
775	#107	C₂³×C₁₃	1	2	yes	complemented
776	#106	C₂³×C₁₃	1	2	yes	complemented
777	#106	C₂³×C₁₃	1	2	yes	complemented
778	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
779	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
780	#103	C₂³×C₁₃	1	2	yes	complemented
781	#103	C₂³×C₁₃	1	2	yes	complemented
782	#103	C₂³×C₁₃	1	2	yes	complemented
783	#103	C₂³×C₁₃	1	2	yes	complemented
784	#102	C₂³×C₁₃	1	2	yes	—
785	#102	C₂³×C₁₃	1	2	yes	—
786	#102	C₂³×C₁₃	1	2	yes	—
787	#102	C₂³×C₁₃	1	2	yes	—
788	#102	C₂³×C₁₃	1	2	yes	—
789	#102	C₂³×C₁₃	1	2	yes	—
790	#102	C₂³×C₁₃	1	2	yes	—
791	#102	C₂³×C₁₃	1	2	yes	—
792	#102	C₂³×C₁₃	1	2	yes	complemented
793	#102	C₂³×C₁₃	1	2	yes	complemented
794	#102	C₂³×C₁₃	1	2	yes	complemented
795	#102	C₂³×C₁₃	1	2	yes	complemented
796	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
797	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
798	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
799	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
800	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
801	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	complemented
802	#97	C₂³×C₁₃	1	1	yes	characteristic, complemented
803	#97	C₂³×C₁₃	1	1	yes	characteristic, complemented
804	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
805	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
806	C₂×C₁₃	—	4	2	no	—
807	C₂×C₁₃	—	4	1	no	—
808	C₂×C₁₃	—	4	2	no	—
809	C₂×C₁₃	—	4	4	no	—
810	C₂×C₁₃	—	8	2	no	—
811	C₂×C₁₃	—	8	1	no	—
812	C₂×C₁₃	—	8	1	no	—
813	C₂×C₁₃	—	8	1	no	—
814	C₂×C₁₃	#3484	1	1	yes	characteristic
815	C₂×C₁₃	#3585	1	2	yes	—
816	C₂⁴	—	2	1	no	—
817	C₂⁴	—	2	2	no	—
818	C₂⁴	—	2	2	no	—
819	C₂⁴	—	2	1	no	—
820	C₂⁴	—	2	2	no	—
821	C₂⁴	—	4	4	no	—
822	C₂⁴	—	8	4	no	—
823	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
824	#41	—	2	4	no	—
825	#41	—	4	2	no	—
826	#41	—	4	2	no	—
827	#41	—	4	2	no	—
828	#41	—	4	2	no	—
829	#41	—	4	2	no	—
830	#41	—	4	2	no	—
831	#41	—	4	2	no	—
832	#41	—	4	4	no	—
833	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
834	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
835	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
836	C₂×D₄	—	2	4	no	—
837	C₂×D₄	—	2	4	no	—
838	C₂×D₄	—	2	4	no	—
839	C₂×D₄	—	2	4	no	—
840	C₂×D₄	—	2	2	no	—
841	C₂×D₄	—	2	1	no	—
842	C₂×D₄	—	2	2	no	—
843	C₂×D₄	—	2	2	no	—
844	C₂×D₄	—	2	2	no	—
845	C₂×D₄	—	2	2	no	—
846	C₂×D₄	—	2	2	no	—
847	C₂×D₄	—	2	2	no	—
848	C₂×D₄	—	2	2	no	—
849	C₂×D₄	—	2	2	no	—
850	C₂×D₄	—	2	1	no	—
851	C₂×D₄	—	2	2	no	—
852	C₂×D₄	—	2	2	no	—
853	C₂×D₄	—	2	2	no	—
854	C₂×D₄	—	2	1	no	—
855	C₂×D₄	—	2	2	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	4	2	no	—
859	C₂×D₄	—	4	2	no	—
860	C₂×D₄	—	4	2	no	—
861	C₂×D₄	—	4	2	no	—
862	C₂×D₄	—	4	8	no	—
863	C₂×D₄	—	4	4	no	—
864	C₂×D₄	—	4	4	no	—
865	C₂×D₄	—	4	8	no	—
866	C₂×D₄	—	8	4	no	—
867	C₂×D₄	—	8	4	no	—
868	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
869	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
870	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
871	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
872	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
873	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
874	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
875	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
876	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
877	C₂²×C₄	—	2	2	no	—
878	C₂²×C₄	—	2	2	no	—
879	C₂²×C₄	—	2	1	no	—
880	C₂²×C₄	—	2	2	no	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	2	2	no	—
883	C₂²×C₄	—	2	2	no	—
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	—	4	2	no	—
886	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
887	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
888	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
889	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
890	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
891	Q₁₆	—	4	2	no	—
892	SD₁₆	—	2	4	no	—
893	SD₁₆	—	2	4	no	—
894	SD₁₆	—	4	2	no	—
895	SD₁₆	—	4	2	no	—
896	SD₁₆	—	4	2	no	—
897	SD₁₆	—	4	2	no	—
898	D₈	—	2	4	no	—
899	D₈	—	2	4	no	—
900	D₈	—	4	2	no	—
901	D₈	—	4	2	no	—
902	D₈	—	4	2	no	—
903	M₁₆	—	4	2	no	—
904	M₁₆	—	4	2	no	—
905	M₁₆	—	4	2	no	—
906	C₂×C₈	—	4	2	no	—
907	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
908	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
909	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
910	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	2	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
921	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
922	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
923	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
924	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
925	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
926	C₂²⋊C₄	—	2	1	no	—
927	C₂²⋊C₄	—	2	2	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	2	no	—
935	C₂²⋊C₄	—	2	2	no	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	2	2	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
944	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
945	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
946	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
947	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
948	C₄²	—	2	2	no	—
949	C₄²	—	2	2	no	—
950	C₄²	—	2	1	no	—
951	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
952	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
953	C₁₃	#61643	1	1	yes	characteristic, direct product factor, Sylow
954	C₂³	—	2	4	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	2	1	no	—
958	C₂³	—	2	1	no	—
959	C₂³	—	2	1	no	—
960	C₂³	—	4	1	no	—
961	C₂³	—	4	2	no	—
962	C₂³	—	4	4	no	—
963	C₂³	—	4	4	no	—
964	C₂³	—	4	4	no	—
965	C₂³	—	4	2	no	—
966	C₂³	—	4	4	no	—
967	C₂³	—	4	4	no	—
968	C₂³	—	8	2	no	—
969	C₂³	—	8	2	no	—
970	C₂³	—	8	2	no	—
971	C₂³	—	8	2	no	—
972	C₂³	—	8	2	no	—
973	C₂³	—	8	2	no	—
974	C₂³	—	8	16	no	—
975	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
976	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
977	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
978	Q₈	—	2	2	no	—
979	Q₈	—	2	2	no	—
980	Q₈	—	2	2	no	—
981	Q₈	—	4	1	no	—
982	D₄	—	2	4	no	—
983	D₄	—	2	2	no	—
984	D₄	—	2	2	no	—
985	D₄	—	2	2	no	—
986	D₄	—	2	2	no	—
987	D₄	—	2	2	no	—
988	D₄	—	2	2	no	—
989	D₄	—	4	1	no	—
990	D₄	—	4	2	no	—
991	D₄	—	4	2	no	—
992	D₄	—	4	2	no	—
993	D₄	—	4	4	no	—
994	D₄	—	4	4	no	—
995	D₄	—	4	4	no	—
996	D₄	—	4	2	no	—
997	D₄	—	4	4	no	—
998	D₄	—	4	2	no	—
999	D₄	—	4	4	no	—
1000	D₄	—	8	2	no	—
1001	D₄	—	8	2	no	—
1002	D₄	—	8	2	no	—
1003	D₄	—	8	2	no	—
1004	D₄	—	8	2	no	—
1005	D₄	—	8	2	no	—
1006	D₄	—	8	2	no	—
1007	D₄	—	8	2	no	—
1008	D₄	—	8	2	no	—
1009	D₄	—	8	2	no	—
1010	D₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	2	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	4	2	no	—
1022	C₂×C₄	—	4	1	no	—
1023	C₂×C₄	—	4	4	no	—
1024	C₂×C₄	—	4	2	no	—
1025	C₂×C₄	—	8	2	no	—
1026	C₂×C₄	—	8	2	no	—
1027	C₂×C₄	—	8	2	no	—
1028	C₂×C₄	—	8	2	no	—
1029	C₂×C₄	—	8	2	no	—
1030	C₂×C₄	—	8	2	no	—
1031	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1032	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1033	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1034	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1035	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1036	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1037	C₈	—	2	2	no	—
1038	C₈	—	2	2	no	—
1039	C₈	—	2	2	no	—
1040	C₈	—	2	2	no	—
1041	C₂²	—	2	2	no	—
1042	C₂²	—	2	2	no	—
1043	C₂²	—	2	2	no	—
1044	C₂²	—	2	2	no	—
1045	C₂²	—	2	2	no	—
1046	C₂²	—	2	1	no	—
1047	C₂²	—	2	2	no	—
1048	C₂²	—	2	2	no	—
1049	C₂²	—	2	4	no	—
1050	C₂²	—	4	4	no	—
1051	C₂²	—	4	2	no	—
1052	C₂²	—	4	2	no	—
1053	C₂²	—	4	2	no	—
1054	C₂²	—	4	2	no	—
1055	C₂²	—	4	2	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	—	4	1	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	1	no	—
1061	C₂²	—	4	1	no	—
1062	C₂²	—	8	4	no	—
1063	C₂²	—	8	8	no	—
1064	C₂²	—	8	8	no	—
1065	C₂²	—	8	4	no	—
1066	C₂²	—	16	4	no	—
1067	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1068	C₄	—	2	2	no	—
1069	C₄	—	2	2	no	—
1070	C₄	—	2	1	no	—
1071	C₄	—	2	2	no	—
1072	C₄	—	2	2	no	—
1073	C₄	—	4	2	no	—
1074	C₄	—	4	2	no	—
1075	C₄	—	4	2	no	—
1076	C₄	—	4	1	no	—
1077	C₄	—	4	2	no	—
1078	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1079	C₂	—	4	2	no	—
1080	C₂	—	4	1	no	—
1081	C₂	—	4	2	no	—
1082	C₂	—	4	4	no	—
1083	C₂	—	8	1	no	—
1084	C₂	—	8	1	no	—
1085	C₂	—	8	1	no	—
1086	C₂	—	8	2	no	—
1087	C₂	C₁₃×#3484	1	1	yes	characteristic
1088	C₂	C₁₃×#3585	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3539	C₂	semidirect
2. C₁₃×#3484	C₂	semidirect
3. C₁₃×#3323	C₂	semidirect
4. C₁₃×#3322	C₂	semidirect
5. C₁₃×#3318	C₂	semidirect
6. C₁₃×#3310	C₂	semidirect
7. C₁₃×#3274	C₂	semidirect
8. C₁₃×#3272	C₂	semidirect
9. C₁₃×#3268	C₂	semidirect
10. C₁₃×#3267	C₂	semidirect
11. C₁₃×#3222	C₂	semidirect
12. C₁₃×#3220	C₂	semidirect
13. C₁₃×#3198	C₂	semidirect
14. C₁₃×#3197	C₂	semidirect
15. C₁₃×#3123	C₂	semidirect
16. C₁₃×#3122	C₂	semidirect
17. C₁₃×#3012	C₂	semidirect
18. C₁₃×#3003	C₂	semidirect
19. C₁₃×#2978	C₂	semidirect
22. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
23. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
24. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
25. C₂×C₁₃×#135	C₂²	semidirect
28. C₁₃×#553	C₂²	semidirect
29. C₁₃×#552	C₂²	semidirect
30. C₁₃×#550	C₂²	semidirect
31. C₁₃×#547	C₂²	semidirect
38. C₁₃×#541	C₂²	semidirect
40. C₁₃×#540	C₂²	semidirect
42. C₁₃×#537	C₂²	semidirect
48. C₁₃×#525	C₂²	semidirect
51. C₁₃×#497	C₂²	semidirect
52. C₁₃×#496	C₂²	semidirect
53. C₁₃×#493	C₂²	semidirect
54. C₁₃×#492	C₂²	semidirect
55. C₁₃×#490	C₂²	semidirect
56. C₁₃×#490	C₂²	semidirect
57. C₁₃×#488	C₂²	semidirect
58. C₁₃×#488	C₂²	semidirect
59. C₁₃×#485	C₂²	semidirect
60. C₁₃×#485	C₂²	semidirect
61. C₁₃×#482	C₂²	semidirect
62. C₁₃×#482	C₂²	semidirect
63. C₁₃×#481	C₂²	semidirect
64. C₁₃×#480	C₂²	semidirect
65. C₁₃×#478	C₂²	semidirect
66. C₁₃×#478	C₂²	semidirect
67. C₁₃×#470	C₂²	semidirect
68. C₁₃×#469	C₂²	semidirect
69. C₁₃×#469	C₂²	semidirect
70. C₁₃×#468	C₂²	semidirect
71. C₁₃×#468	C₂²	semidirect
72. C₁₃×#468	C₂²	semidirect
73. C₁₃×#466	C₂²	semidirect
74. C₁₃×#465	C₂²	semidirect
75. C₁₃×#464	C₂²	semidirect
76. C₁₃×#463	C₂²	semidirect
77. C₁₃×#461	C₂²	semidirect
78. C₁₃×#460	C₂²	semidirect
79. C₁₃×#459	C₂²	semidirect
80. C₁₃×#459	C₂²	semidirect
81. C₁₃×#452	C₂²	semidirect
82. C₁₃×#452	C₂²	semidirect
83. C₁₃×#452	C₂²	semidirect
85. C₁₃×#450	C₂²	semidirect
86. C₁₃×#450	C₂²	semidirect
87. C₁₃×#450	C₂²	semidirect
88. C₁₃×#450	C₂²	semidirect
89. C₁₃×#449	C₂²	semidirect
90. C₁₃×#449	C₂²	semidirect
91. C₁₃×#449	C₂²	semidirect
92. C₁₃×#449	C₂²	semidirect
93. C₁₃×#449	C₂²	semidirect
95. C₁₃×#447	C₂²	semidirect
96. C₁₃×#447	C₂²	semidirect
97. C₁₃×#447	C₂²	semidirect
98. C₁₃×#447	C₂²	semidirect
99. C₁₃×#442	C₂²	semidirect
100. C₁₃×#440	C₂²	semidirect
101. C₄×C₁₃×SD₁₆	C₂²	semidirect
102. C₄×C₁₃×D₈	C₂²	semidirect
103. C₁₃×#436	C₂²	semidirect
104. C₁₃×#436	C₂²	semidirect
105. C₁₃×#435	C₂²	semidirect
106. C₁₃×#435	C₂²	semidirect
107. C₁₃×#433	C₂²	semidirect
108. C₁₃×#433	C₂²	semidirect
109. C₁₃×#418	C₂²	semidirect
110. C₁₃×#418	C₂²	semidirect
111. C₁₃×#417	C₂²	semidirect
112. C₂×C₁₃×#102	C₂²	semidirect
113. C₁₃×#408	C₂²	semidirect
114. C₁₃×#407	C₂²	semidirect
122. C₂×C₁₃×#41	C₂³	semidirect
140. C₂×C₁₃×Q₁₆	C₂³	semidirect
145. C₂×C₁₃×SD₁₆	C₂³	semidirect
146. C₂×C₁₃×SD₁₆	C₂³	semidirect
151. C₂×C₁₃×D₈	C₂³	semidirect
154. C₂×C₁₃×M₁₆	C₂³	semidirect
155. C₂²×C₈×C₁₃	C₂³	semidirect
156. C₁₃×C₄⋊Q₈	C₂³	semidirect
161. C₁₃×#127	C₂³	semidirect
167. C₁₃×#125	C₂³	semidirect
168. C₁₃×#125	C₂³	semidirect
187. C₁₃×C₂²⋊Q₈	C₂³	semidirect
207. C₁₃×#121	C₂³	semidirect
219. C₄×Q₈×C₁₃	C₂³	semidirect
230. C₄×D₄×C₁₃	C₂³	semidirect
236. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
240. C₁₃×#107	C₂³	semidirect
241. C₁₃×#107	C₂³	semidirect
242. C₁₃×#106	C₂³	semidirect
243. C₁₃×#106	C₂³	semidirect
244. C₁₃×C₄⋊C₈	C₂³	semidirect
245. C₁₃×C₄⋊C₈	C₂³	semidirect
246. C₁₃×#103	C₂³	semidirect
247. C₁₃×#103	C₂³	semidirect
248. C₁₃×#103	C₂³	semidirect
249. C₁₃×#103	C₂³	semidirect
258. C₁₃×#102	C₂³	semidirect
259. C₁₃×#102	C₂³	semidirect
260. C₁₃×#102	C₂³	semidirect
261. C₁₃×#102	C₂³	semidirect
266. C₁₃×C₂²⋊C₈	C₂³	semidirect
267. C₁₃×C₂²⋊C₈	C₂³	semidirect
268. C₁₃×#97	C₂³	semidirect
269. C₁₃×#97	C₂³	semidirect
270. C₄×C₈×C₁₃	C₂³	semidirect
271. C₄×C₈×C₁₃	C₂³	semidirect
272. #61643	C₁₃	direct (N × H)
410. #3539	C₂×C₁₃	semidirect
411. #3484	C₂×C₁₃	semidirect
412. #3323	C₂×C₁₃	semidirect
413. #3322	C₂×C₁₃	semidirect
414. #3318	C₂×C₁₃	semidirect
415. #3310	C₂×C₁₃	semidirect
416. #3274	C₂×C₁₃	semidirect
417. #3272	C₂×C₁₃	semidirect
418. #3268	C₂×C₁₃	semidirect
419. #3267	C₂×C₁₃	semidirect
420. #3222	C₂×C₁₃	semidirect
421. #3220	C₂×C₁₃	semidirect
422. #3198	C₂×C₁₃	semidirect
423. #3197	C₂×C₁₃	semidirect
424. #3123	C₂×C₁₃	semidirect
425. #3122	C₂×C₁₃	semidirect
426. #3012	C₂×C₁₃	semidirect
427. #3003	C₂×C₁₃	semidirect
428. #2978	C₂×C₁₃	semidirect
518. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
519. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
520. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
521. C₂×#135	C₂²×C₁₃	semidirect
524. #553	C₂²×C₁₃	semidirect
525. #552	C₂²×C₁₃	semidirect
526. #550	C₂²×C₁₃	semidirect
527. #547	C₂²×C₁₃	semidirect
534. #541	C₂²×C₁₃	semidirect
536. #540	C₂²×C₁₃	semidirect
538. #537	C₂²×C₁₃	semidirect
544. #525	C₂²×C₁₃	semidirect
547. #497	C₂²×C₁₃	semidirect
548. #496	C₂²×C₁₃	semidirect
549. #493	C₂²×C₁₃	semidirect
550. #492	C₂²×C₁₃	semidirect
551. #490	C₂²×C₁₃	semidirect
552. #490	C₂²×C₁₃	semidirect
553. #488	C₂²×C₁₃	semidirect
554. #488	C₂²×C₁₃	semidirect
555. #485	C₂²×C₁₃	semidirect
556. #485	C₂²×C₁₃	semidirect
557. #482	C₂²×C₁₃	semidirect
558. #482	C₂²×C₁₃	semidirect
559. #481	C₂²×C₁₃	semidirect
560. #480	C₂²×C₁₃	semidirect
561. #478	C₂²×C₁₃	semidirect
562. #478	C₂²×C₁₃	semidirect
563. #470	C₂²×C₁₃	semidirect
564. #469	C₂²×C₁₃	semidirect
565. #469	C₂²×C₁₃	semidirect
566. #468	C₂²×C₁₃	semidirect
567. #468	C₂²×C₁₃	semidirect
568. #468	C₂²×C₁₃	semidirect
569. #466	C₂²×C₁₃	semidirect
570. #465	C₂²×C₁₃	semidirect
571. #464	C₂²×C₁₃	semidirect
572. #463	C₂²×C₁₃	semidirect
573. #461	C₂²×C₁₃	semidirect
574. #460	C₂²×C₁₃	semidirect
575. #459	C₂²×C₁₃	semidirect
576. #459	C₂²×C₁₃	semidirect
577. #452	C₂²×C₁₃	semidirect
578. #452	C₂²×C₁₃	semidirect
579. #452	C₂²×C₁₃	semidirect
581. #450	C₂²×C₁₃	semidirect
582. #450	C₂²×C₁₃	semidirect
583. #450	C₂²×C₁₃	semidirect
584. #450	C₂²×C₁₃	semidirect
585. #449	C₂²×C₁₃	semidirect
586. #449	C₂²×C₁₃	semidirect
587. #449	C₂²×C₁₃	semidirect
588. #449	C₂²×C₁₃	semidirect
589. #449	C₂²×C₁₃	semidirect
591. #447	C₂²×C₁₃	semidirect
592. #447	C₂²×C₁₃	semidirect
593. #447	C₂²×C₁₃	semidirect
594. #447	C₂²×C₁₃	semidirect
595. #442	C₂²×C₁₃	semidirect
596. #440	C₂²×C₁₃	semidirect
597. C₄×SD₁₆	C₂²×C₁₃	semidirect
598. C₄×D₈	C₂²×C₁₃	semidirect
599. #436	C₂²×C₁₃	semidirect
600. #436	C₂²×C₁₃	semidirect
601. #435	C₂²×C₁₃	semidirect
602. #435	C₂²×C₁₃	semidirect
603. #433	C₂²×C₁₃	semidirect
604. #433	C₂²×C₁₃	semidirect
605. #418	C₂²×C₁₃	semidirect
606. #418	C₂²×C₁₃	semidirect
607. #417	C₂²×C₁₃	semidirect
608. C₂×#102	C₂²×C₁₃	semidirect
609. #408	C₂²×C₁₃	semidirect
610. #407	C₂²×C₁₃	semidirect
656. C₂×#41	C₂³×C₁₃	semidirect
674. C₂×Q₁₆	C₂³×C₁₃	semidirect
679. C₂×SD₁₆	C₂³×C₁₃	semidirect
680. C₂×SD₁₆	C₂³×C₁₃	semidirect
685. C₂×D₈	C₂³×C₁₃	semidirect
688. C₂×M₁₆	C₂³×C₁₃	semidirect
689. C₂²×C₈	C₂³×C₁₃	semidirect
690. C₄⋊Q₈	C₂³×C₁₃	semidirect
695. #127	C₂³×C₁₃	semidirect
701. #125	C₂³×C₁₃	semidirect
702. #125	C₂³×C₁₃	semidirect
721. C₂²⋊Q₈	C₂³×C₁₃	semidirect
741. #121	C₂³×C₁₃	semidirect
753. C₄×Q₈	C₂³×C₁₃	semidirect
764. C₄×D₄	C₂³×C₁₃	semidirect
770. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
774. #107	C₂³×C₁₃	semidirect
775. #107	C₂³×C₁₃	semidirect
776. #106	C₂³×C₁₃	semidirect
777. #106	C₂³×C₁₃	semidirect
778. C₄⋊C₈	C₂³×C₁₃	semidirect
779. C₄⋊C₈	C₂³×C₁₃	semidirect
780. #103	C₂³×C₁₃	semidirect
781. #103	C₂³×C₁₃	semidirect
782. #103	C₂³×C₁₃	semidirect
783. #103	C₂³×C₁₃	semidirect
792. #102	C₂³×C₁₃	semidirect
793. #102	C₂³×C₁₃	semidirect
794. #102	C₂³×C₁₃	semidirect
795. #102	C₂³×C₁₃	semidirect
800. C₂²⋊C₈	C₂³×C₁₃	semidirect
801. C₂²⋊C₈	C₂³×C₁₃	semidirect
802. #97	C₂³×C₁₃	semidirect
803. #97	C₂³×C₁₃	semidirect
804. C₄×C₈	C₂³×C₁₃	semidirect
805. C₄×C₈	C₂³×C₁₃	semidirect
953. C₁₃	#61643	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×#3539	2
C₁₃×#3484	2
C₁₃×#3323	2
C₁₃×#3322	2
C₁₃×#3318	2
C₁₃×#3310	2
C₁₃×#3274	2
C₁₃×#3272	2
C₁₃×#3268	2
C₁₃×#3267	2
C₁₃×#3222	2
C₁₃×#3220	2
C₁₃×#3198	2
C₁₃×#3197	2
C₁₃×#3123	2
C₁₃×#3122	2
C₁₃×#3012	2
C₁₃×#3003	2
C₁₃×#2978	2
#61643	13

Subgroups — C13×#61643 #15747982

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61643 #15747982