Subgroups — C₁₃×#61067 #15747406

Order 3328.

2778 conjugacy classes of subgroups.

The subgroup lattice has 1032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#575	C₂	1	2	yes	maximal, complemented
2	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₃×#547	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3284	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3283	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3276	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3272	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3269	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3267	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3152	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3056	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3039	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3036	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3007	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3005	C₂	1	2	yes	maximal, complemented
16	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
17	D₄×C₁₃×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×C₁₃×#41	C₂²	1	2	yes	—
19	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
20	C₁₃×#575	—	2	16	no	—
21	C₂×C₁₃×#137	C₂²	1	2	yes	—
22	C₂×C₁₃×#137	C₂²	1	4	yes	complemented
23	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
27	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
28	C₂×C₁₃×#135	C₂²	1	4	yes	complemented
29	C₂×C₁₃×#135	C₂²	1	4	yes	complemented
30	C₂²×C₁₃×M₁₆	C₂²	1	2	yes	complemented
31	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
32	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#548	C₂²	1	2	yes	complemented
34	C₁₃×#547	—	2	1	no	—
35	C₁₃×#547	—	2	1	no	—
36	C₁₃×#547	—	2	2	no	—
37	C₁₃×#547	—	2	1	no	—
38	C₁₃×#547	C₂²	1	2	yes	—
39	C₁₃×#547	C₂²	1	4	yes	complemented
40	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#547	C₂²	1	2	yes	complemented
42	C₁₃×#546	—	2	2	no	—
43	C₁₃×#546	C₂²	1	2	yes	complemented
44	D₄²×C₁₃	—	2	1	no	—
45	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#532	—	2	1	no	—
47	C₁₃×#532	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#525	—	2	2	no	—
50	C₁₃×#525	C₂²	1	2	yes	—
51	C₂×C₁₃×#123	—	2	2	no	—
52	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
53	C₂×C₁₃×#121	—	2	1	no	—
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃	—	2	1	no	—
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
58	C₂²×C₁₃×C₄⋊C₄	—	2	1	no	—
59	C₁₃×#497	C₂²	1	4	yes	complemented
60	C₁₃×#494	C₂²	1	2	yes	complemented
61	C₁₃×#492	C₂²	1	2	yes	complemented
62	C₁₃×#470	C₂²	1	4	yes	complemented
63	C₁₃×#468	C₂²	1	4	yes	complemented
64	C₁₃×#467	C₂²	1	4	yes	complemented
65	C₁₃×#465	C₂²	1	4	yes	complemented
66	C₁₃×#463	C₂²	1	4	yes	complemented
67	C₁₃×#462	C₂²	1	2	yes	complemented
68	C₁₃×#462	C₂²	1	2	yes	complemented
69	C₁₃×#461	C₂²	1	2	yes	complemented
70	C₁₃×#461	C₂²	1	2	yes	complemented
71	C₁₃×#461	C₂²	1	2	yes	complemented
72	C₁₃×#459	C₂²	1	2	yes	complemented
73	C₁₃×#452	C₂²	1	4	yes	complemented
74	C₁₃×#452	C₂²	1	4	yes	complemented
75	C₁₃×#452	C₂²	1	4	yes	complemented
76	C₁₃×#452	C₂²	1	4	yes	complemented
77	C₁₃×#451	C₂²	1	4	yes	complemented
78	C₁₃×#450	C₂²	1	4	yes	complemented
79	C₁₃×#449	C₂²	1	4	yes	complemented
80	C₁₃×#449	C₂²	1	4	yes	complemented
81	C₁₃×#442	C₂²	1	2	yes	complemented
82	C₁₃×#440	C₂²	1	2	yes	complemented
83	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
84	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
85	C₁₃×#436	C₂²	1	2	yes	complemented
86	C₁₃×#435	C₂²	1	4	yes	complemented
87	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
88	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#419	C₂²	1	2	yes	complemented
91	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#417	C₂²	1	1	yes	characteristic
93	C₁₃×#417	C₂²	1	2	yes	complemented
94	C₁₃×#407	C₂²	1	2	yes	complemented
95	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₁₃×#41	—	2	2	no	—
97	C₂×C₁₃×#41	—	2	2	no	—
98	C₂×C₁₃×#41	—	2	2	no	—
99	C₂×C₁₃×#41	—	2	2	no	—
100	C₂×C₁₃×#41	—	2	8	no	—
101	C₂×C₁₃×#41	—	2	8	no	—
102	C₂×C₁₃×#41	—	4	4	no	—
103	C₂×C₁₃×#41	—	4	4	no	—
104	C₂×C₁₃×#41	C₂³	1	2	yes	—
105	C₂×C₁₃×#41	C₂³	1	4	yes	—
106	C₂×C₁₃×#41	C₂³	1	4	yes	—
107	C₂×C₁₃×#41	C₂³	1	2	yes	—
108	C₂×C₁₃×#41	C₂³	1	2	yes	—
109	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
110	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
111	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
112	C₂²×D₄×C₁₃	—	2	2	no	—
113	C₂²×D₄×C₁₃	—	2	2	no	—
114	C₂²×D₄×C₁₃	—	2	1	no	—
115	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
116	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
117	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
118	C₂³×C₄×C₁₃	—	2	1	no	—
119	C₂³×C₄×C₁₃	—	2	2	no	—
120	C₂³×C₄×C₁₃	—	2	2	no	—
121	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
122	C₁₃×#137	—	2	8	no	—
123	C₁₃×#137	—	2	16	no	—
124	C₁₃×#137	—	2	8	no	—
125	C₁₃×#137	—	4	4	no	—
126	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
127	C₁₃×AGL(1,ℤ/8)	—	2	16	no	—
128	C₁₃×AGL(1,ℤ/8)	D₄	1	8	yes	complemented
129	C₁₃×#135	—	2	16	no	—
130	C₁₃×#135	—	2	16	no	—
131	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
132	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
133	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
134	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
135	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
136	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
137	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
138	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
139	C₂×C₁₃×D₈	C₂³	1	4	yes	—
140	C₂×C₁₃×D₈	C₂³	1	2	yes	—
141	C₂×C₁₃×M₁₆	—	2	8	no	—
142	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×M₁₆	C₂³	1	4	yes	—
145	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
146	C₂²×C₈×C₁₃	C₂³	1	4	yes	—
147	C₁₃×C₄⋊Q₈	—	2	1	no	—
148	C₁₃×C₄⋊Q₈	—	2	1	no	—
149	C₁₃×C₄⋊Q₈	—	2	1	no	—
150	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
151	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
152	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
153	C₁₃×#127	—	2	1	no	—
154	C₁₃×#127	C₂³	1	1	yes	characteristic
155	C₁₃×#124	—	2	2	no	—
156	C₁₃×#124	C₂³	1	2	yes	—
157	C₁₃×#123	—	2	2	no	—
158	C₁₃×#123	—	2	2	no	—
159	C₁₃×#123	—	2	4	no	—
160	C₁₃×#123	—	2	4	no	—
161	C₁₃×#123	—	2	4	no	—
162	C₁₃×#123	—	2	4	no	—
163	C₁₃×#123	—	2	2	no	—
164	C₁₃×C₂²⋊Q₈	—	2	2	no	—
165	C₁₃×C₂²⋊Q₈	—	2	2	no	—
166	C₁₃×C₂²⋊Q₈	—	2	2	no	—
167	C₁₃×C₂²⋊Q₈	—	2	2	no	—
168	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
169	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
170	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
171	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
172	C₁₃×#121	—	2	2	no	—
173	C₁₃×#121	—	2	2	no	—
174	C₁₃×#121	—	2	4	no	—
175	C₁₃×#121	—	2	2	no	—
176	C₁₃×#121	—	2	1	no	—
177	C₁₃×#121	—	2	1	no	—
178	C₁₃×#121	—	2	1	no	—
179	C₁₃×#121	—	2	1	no	—
180	C₁₃×#121	—	2	2	no	—
181	C₁₃×#121	—	2	2	no	—
182	C₁₃×#121	C₂³	1	2	yes	—
183	C₁₃×#121	C₂³	1	2	yes	—
184	C₁₃×#120	—	2	2	no	—
185	C₁₃×#120	—	2	2	no	—
186	C₁₃×#120	—	2	2	no	—
187	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
188	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₄×D₄×C₁₃	—	2	1	no	—
190	C₄×D₄×C₁₃	—	2	2	no	—
191	C₄×D₄×C₁₃	—	2	1	no	—
192	C₄×D₄×C₁₃	—	2	1	no	—
193	C₄×D₄×C₁₃	—	2	2	no	—
194	C₄×D₄×C₁₃	—	2	1	no	—
195	C₄×D₄×C₁₃	—	2	2	no	—
196	C₄×D₄×C₁₃	—	2	1	no	—
197	C₄×D₄×C₁₃	—	2	1	no	—
198	C₄×D₄×C₁₃	—	2	1	no	—
199	C₄×D₄×C₁₃	—	2	1	no	—
200	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
201	C₄×D₄×C₁₃	D₄	1	2	yes	—
202	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
203	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₄×D₄×C₁₃	C₂³	1	2	yes	—
205	C₄×D₄×C₁₃	C₂³	1	2	yes	—
206	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₄×D₄×C₁₃	C₂³	1	2	yes	—
209	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
210	C₁₃×#117	—	2	1	no	—
211	C₁₃×#117	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
213	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
214	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
215	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
216	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
217	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
218	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
219	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
222	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
223	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
224	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
225	C₂×C₄²×C₁₃	—	2	1	no	—
226	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
227	C₁₃×#107	C₂³	1	2	yes	—
228	C₁₃×#106	C₂³	1	2	yes	—
229	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
230	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
231	C₁₃×#103	C₂³	1	2	yes	—
232	C₁₃×#103	C₂³	1	4	yes	—
233	C₁₃×#103	C₂³	1	4	yes	—
234	C₁₃×#103	C₂³	1	4	yes	—
235	C₁₃×#102	C₂³	1	2	yes	—
236	C₁₃×#102	C₂³	1	4	yes	—
237	C₁₃×#102	C₂³	1	2	yes	—
238	C₁₃×#102	C₂³	1	2	yes	—
239	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
240	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
241	C₁₃×#97	C₂³	1	2	yes	—
242	C₄×C₈×C₁₃	C₂³	1	2	yes	—
243	#61067	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
244	C₂⁴×C₁₃	—	2	1	no	—
245	C₂⁴×C₁₃	—	2	2	no	—
246	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
247	C₁₃×#41	—	2	2	no	—
248	C₁₃×#41	—	2	4	no	—
249	C₁₃×#41	—	2	8	no	—
250	C₁₃×#41	—	2	4	no	—
251	C₁₃×#41	—	2	8	no	—
252	C₁₃×#41	—	2	4	no	—
253	C₁₃×#41	—	2	4	no	—
254	C₁₃×#41	—	4	8	no	—
255	C₁₃×#41	—	4	4	no	—
256	C₁₃×#41	—	4	2	no	—
257	C₁₃×#41	—	4	4	no	—
258	C₁₃×#41	—	4	2	no	—
259	C₁₃×#41	—	4	8	no	—
260	C₁₃×#41	—	4	8	no	—
261	C₁₃×#41	—	4	8	no	—
262	C₁₃×#41	C₂×D₄	1	4	yes	—
263	C₂×Q₈×C₁₃	—	2	2	no	—
264	C₂×Q₈×C₁₃	—	2	2	no	—
265	C₂×Q₈×C₁₃	—	2	4	no	—
266	C₂×Q₈×C₁₃	—	2	4	no	—
267	C₂×Q₈×C₁₃	—	2	4	no	—
268	C₂×Q₈×C₁₃	—	4	2	no	—
269	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
270	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
271	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
272	C₂×D₄×C₁₃	—	2	1	no	—
273	C₂×D₄×C₁₃	—	2	4	no	—
274	C₂×D₄×C₁₃	—	2	2	no	—
275	C₂×D₄×C₁₃	—	2	2	no	—
276	C₂×D₄×C₁₃	—	2	2	no	—
277	C₂×D₄×C₁₃	—	2	4	no	—
278	C₂×D₄×C₁₃	—	2	4	no	—
279	C₂×D₄×C₁₃	—	2	2	no	—
280	C₂×D₄×C₁₃	—	2	2	no	—
281	C₂×D₄×C₁₃	—	2	1	no	—
282	C₂×D₄×C₁₃	—	2	1	no	—
283	C₂×D₄×C₁₃	—	2	2	no	—
284	C₂×D₄×C₁₃	—	2	1	no	—
285	C₂×D₄×C₁₃	—	2	2	no	—
286	C₂×D₄×C₁₃	—	4	2	no	—
287	C₂×D₄×C₁₃	—	4	2	no	—
288	C₂×D₄×C₁₃	—	4	8	no	—
289	C₂×D₄×C₁₃	—	4	4	no	—
290	C₂×D₄×C₁₃	—	4	8	no	—
291	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
292	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
293	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
294	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	complemented
295	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
296	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
297	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₁₃	—	2	1	no	—
299	C₂²×C₄×C₁₃	—	2	4	no	—
300	C₂²×C₄×C₁₃	—	2	4	no	—
301	C₂²×C₄×C₁₃	—	2	1	no	—
302	C₂²×C₄×C₁₃	—	2	2	no	—
303	C₂²×C₄×C₁₃	—	2	2	no	—
304	C₂²×C₄×C₁₃	—	2	1	no	—
305	C₂²×C₄×C₁₃	—	2	2	no	—
306	C₂²×C₄×C₁₃	—	2	2	no	—
307	C₂²×C₄×C₁₃	—	2	2	no	—
308	C₂²×C₄×C₁₃	—	2	4	no	—
309	C₂²×C₄×C₁₃	—	2	4	no	—
310	C₂²×C₄×C₁₃	—	2	2	no	—
311	C₂²×C₄×C₁₃	—	2	2	no	—
312	C₂²×C₄×C₁₃	—	2	1	no	—
313	C₂²×C₄×C₁₃	—	4	8	no	—
314	C₂²×C₄×C₁₃	—	4	8	no	—
315	C₂²×C₄×C₁₃	—	4	4	no	—
316	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
317	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
318	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
319	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
320	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
321	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
324	C₁₃×Q₁₆	—	2	8	no	—
325	C₁₃×Q₁₆	—	2	8	no	—
326	C₁₃×Q₁₆	—	4	4	no	—
327	C₁₃×SD₁₆	—	2	8	no	—
328	C₁₃×SD₁₆	—	2	8	no	—
329	C₁₃×SD₁₆	—	2	8	no	—
330	C₁₃×SD₁₆	—	4	4	no	—
331	C₁₃×SD₁₆	C₂×D₄	1	8	yes	complemented
332	C₁₃×D₈	—	2	8	no	—
333	C₁₃×D₈	C₂×D₄	1	8	yes	complemented
334	C₁₃×M₁₆	—	2	4	no	—
335	C₁₃×M₁₆	—	2	2	no	—
336	C₁₃×M₁₆	—	2	8	no	—
337	C₁₃×M₁₆	C₂×D₄	1	4	yes	complemented
338	C₂×C₈×C₁₃	—	2	8	no	—
339	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
340	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
341	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
342	C₁₃×C₄⋊C₄	—	2	2	no	—
343	C₁₃×C₄⋊C₄	—	2	2	no	—
344	C₁₃×C₄⋊C₄	—	2	4	no	—
345	C₁₃×C₄⋊C₄	—	2	4	no	—
346	C₁₃×C₄⋊C₄	—	2	1	no	—
347	C₁₃×C₄⋊C₄	—	2	2	no	—
348	C₁₃×C₄⋊C₄	—	2	2	no	—
349	C₁₃×C₄⋊C₄	—	2	2	no	—
350	C₁₃×C₄⋊C₄	—	2	1	no	—
351	C₁₃×C₄⋊C₄	—	2	1	no	—
352	C₁₃×C₄⋊C₄	—	2	1	no	—
353	C₁₃×C₄⋊C₄	—	2	1	no	—
354	C₁₃×C₄⋊C₄	—	2	2	no	—
355	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
356	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
357	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
358	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
359	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
360	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
361	C₁₃×C₂²⋊C₄	—	2	2	no	—
362	C₁₃×C₂²⋊C₄	—	2	4	no	—
363	C₁₃×C₂²⋊C₄	—	2	4	no	—
364	C₁₃×C₂²⋊C₄	—	2	1	no	—
365	C₁₃×C₂²⋊C₄	—	2	2	no	—
366	C₁₃×C₂²⋊C₄	—	2	2	no	—
367	C₁₃×C₂²⋊C₄	—	2	2	no	—
368	C₁₃×C₂²⋊C₄	—	2	2	no	—
369	C₁₃×C₂²⋊C₄	—	2	2	no	—
370	C₁₃×C₂²⋊C₄	—	2	1	no	—
371	C₁₃×C₂²⋊C₄	—	2	1	no	—
372	C₁₃×C₂²⋊C₄	—	2	2	no	—
373	C₁₃×C₂²⋊C₄	—	2	2	no	—
374	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
375	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
376	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
377	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
378	C₄²×C₁₃	—	2	1	no	—
379	C₄²×C₁₃	—	2	1	no	—
380	C₄²×C₁₃	—	2	1	no	—
381	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
382	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
383	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×#575	C₂×C₁₃	1	2	yes	complemented
386	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
387	C₂×#547	C₂×C₁₃	1	1	yes	characteristic, complemented
388	#3284	C₂×C₁₃	1	2	yes	complemented
389	#3283	C₂×C₁₃	1	2	yes	complemented
390	#3276	C₂×C₁₃	1	2	yes	complemented
391	#3272	C₂×C₁₃	1	2	yes	complemented
392	#3269	C₂×C₁₃	1	4	yes	complemented
393	#3267	C₂×C₁₃	1	4	yes	complemented
394	#3152	C₂×C₁₃	1	1	yes	characteristic, complemented
395	#3056	C₂×C₁₃	1	2	yes	complemented
396	#3039	C₂×C₁₃	1	1	yes	characteristic, complemented
397	#3036	C₂×C₁₃	1	1	yes	characteristic, complemented
398	#3007	C₂×C₁₃	1	2	yes	complemented
399	#3005	C₂×C₁₃	1	2	yes	complemented
400	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
401	D₄×M₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
402	C₂³×C₁₃	—	2	4	no	—
403	C₂³×C₁₃	—	2	2	no	—
404	C₂³×C₁₃	—	2	1	no	—
405	C₂³×C₁₃	—	2	4	no	—
406	C₂³×C₁₃	—	2	2	no	—
407	C₂³×C₁₃	—	4	2	no	—
408	C₂³×C₁₃	—	4	2	no	—
409	C₂³×C₁₃	—	4	4	no	—
410	C₂³×C₁₃	—	4	2	no	—
411	C₂³×C₁₃	—	4	2	no	—
412	C₂³×C₁₃	—	4	4	no	—
413	C₂³×C₁₃	—	8	2	no	—
414	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
415	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
416	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
417	Q₈×C₁₃	—	2	1	no	—
418	Q₈×C₁₃	—	2	2	no	—
419	Q₈×C₁₃	—	2	4	no	—
420	Q₈×C₁₃	—	2	4	no	—
421	Q₈×C₁₃	—	2	2	no	—
422	Q₈×C₁₃	—	4	4	no	—
423	Q₈×C₁₃	—	4	4	no	—
424	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
425	D₄×C₁₃	—	2	4	no	—
426	D₄×C₁₃	—	2	4	no	—
427	D₄×C₁₃	—	2	2	no	—
428	D₄×C₁₃	—	2	2	no	—
429	D₄×C₁₃	—	2	2	no	—
430	D₄×C₁₃	—	2	2	no	—
431	D₄×C₁₃	—	2	1	no	—
432	D₄×C₁₃	—	2	2	no	—
433	D₄×C₁₃	—	4	2	no	—
434	D₄×C₁₃	—	4	4	no	—
435	D₄×C₁₃	—	4	4	no	—
436	D₄×C₁₃	—	4	8	no	—
437	D₄×C₁₃	—	4	4	no	—
438	D₄×C₁₃	—	4	8	no	—
439	D₄×C₁₃	—	4	4	no	—
440	D₄×C₁₃	—	4	4	no	—
441	D₄×C₁₃	—	4	2	no	—
442	D₄×C₁₃	—	8	1	no	—
443	D₄×C₁₃	—	8	2	no	—
444	D₄×C₁₃	C₂²×D₄	1	4	yes	—
445	D₄×C₁₃	C₂²×D₄	1	2	yes	—
446	C₂×C₄×C₁₃	—	2	4	no	—
447	C₂×C₄×C₁₃	—	2	1	no	—
448	C₂×C₄×C₁₃	—	2	4	no	—
449	C₂×C₄×C₁₃	—	2	4	no	—
450	C₂×C₄×C₁₃	—	2	4	no	—
451	C₂×C₄×C₁₃	—	2	2	no	—
452	C₂×C₄×C₁₃	—	2	2	no	—
453	C₂×C₄×C₁₃	—	2	2	no	—
454	C₂×C₄×C₁₃	—	2	2	no	—
455	C₂×C₄×C₁₃	—	2	2	no	—
456	C₂×C₄×C₁₃	—	2	1	no	—
457	C₂×C₄×C₁₃	—	2	1	no	—
458	C₂×C₄×C₁₃	—	2	2	no	—
459	C₂×C₄×C₁₃	—	2	2	no	—
460	C₂×C₄×C₁₃	—	2	4	no	—
461	C₂×C₄×C₁₃	—	4	1	no	—
462	C₂×C₄×C₁₃	—	4	4	no	—
463	C₂×C₄×C₁₃	—	4	4	no	—
464	C₂×C₄×C₁₃	—	4	4	no	—
465	C₂×C₄×C₁₃	—	4	8	no	—
466	C₂×C₄×C₁₃	—	4	8	no	—
467	C₂×C₄×C₁₃	—	4	4	no	—
468	C₂×C₄×C₁₃	—	4	2	no	—
469	C₂×C₄×C₁₃	—	4	4	no	—
470	C₂×C₄×C₁₃	—	4	4	no	—
471	C₂×C₄×C₁₃	—	4	4	no	—
472	C₂×C₄×C₁₃	—	4	2	no	—
473	C₂×C₄×C₁₃	—	8	1	no	—
474	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
476	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
477	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
478	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
479	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
480	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
481	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
482	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
483	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
484	C₈×C₁₃	—	2	4	no	—
485	C₈×C₁₃	—	2	2	no	—
486	C₈×C₁₃	C₂²×D₄	1	4	yes	—
487	C₂²×#41	C₂²×C₁₃	1	2	yes	—
488	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
489	#575	—	2	16	no	—
490	C₂×#137	C₂²×C₁₃	1	2	yes	—
491	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
492	C₂×#137	C₂²×C₁₃	1	4	yes	complemented
493	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
494	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
495	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
496	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	4	yes	complemented
497	C₂×#135	C₂²×C₁₃	1	4	yes	complemented
498	C₂×#135	C₂²×C₁₃	1	4	yes	complemented
499	C₂²×M₁₆	C₂²×C₁₃	1	2	yes	complemented
500	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
501	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
502	#548	C₂²×C₁₃	1	2	yes	complemented
503	#547	—	2	1	no	—
504	#547	—	2	1	no	—
505	#547	—	2	2	no	—
506	#547	—	2	1	no	—
507	#547	C₂²×C₁₃	1	2	yes	—
508	#547	C₂²×C₁₃	1	4	yes	complemented
509	#547	C₂²×C₁₃	1	2	yes	complemented
510	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
511	#546	—	2	2	no	—
512	#546	C₂²×C₁₃	1	2	yes	complemented
513	D₄²	—	2	1	no	—
514	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
515	#532	—	2	1	no	—
516	#532	C₂²×C₁₃	1	1	yes	characteristic
517	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
518	#525	—	2	2	no	—
519	#525	C₂²×C₁₃	1	2	yes	—
520	C₂×#123	—	2	2	no	—
521	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
522	C₂×#121	—	2	1	no	—
523	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
524	C₂×C₄×D₄	—	2	1	no	—
525	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
526	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
527	C₂²×C₄⋊C₄	—	2	1	no	—
528	#497	C₂²×C₁₃	1	4	yes	complemented
529	#494	C₂²×C₁₃	1	2	yes	complemented
530	#492	C₂²×C₁₃	1	2	yes	complemented
531	#470	C₂²×C₁₃	1	4	yes	complemented
532	#468	C₂²×C₁₃	1	4	yes	complemented
533	#467	C₂²×C₁₃	1	4	yes	complemented
534	#465	C₂²×C₁₃	1	4	yes	complemented
535	#463	C₂²×C₁₃	1	4	yes	complemented
536	#462	C₂²×C₁₃	1	2	yes	complemented
537	#462	C₂²×C₁₃	1	2	yes	complemented
538	#461	C₂²×C₁₃	1	2	yes	complemented
539	#461	C₂²×C₁₃	1	2	yes	complemented
540	#461	C₂²×C₁₃	1	2	yes	complemented
541	#459	C₂²×C₁₃	1	2	yes	complemented
542	#452	C₂²×C₁₃	1	4	yes	complemented
543	#452	C₂²×C₁₃	1	4	yes	complemented
544	#452	C₂²×C₁₃	1	4	yes	complemented
545	#452	C₂²×C₁₃	1	4	yes	complemented
546	#451	C₂²×C₁₃	1	4	yes	complemented
547	#450	C₂²×C₁₃	1	4	yes	complemented
548	#449	C₂²×C₁₃	1	4	yes	complemented
549	#449	C₂²×C₁₃	1	4	yes	complemented
550	#442	C₂²×C₁₃	1	2	yes	complemented
551	#440	C₂²×C₁₃	1	2	yes	complemented
552	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
553	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
554	#436	C₂²×C₁₃	1	2	yes	complemented
555	#435	C₂²×C₁₃	1	4	yes	complemented
556	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
557	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
558	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
559	#419	C₂²×C₁₃	1	2	yes	complemented
560	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
561	#417	C₂²×C₁₃	1	1	yes	characteristic
562	#417	C₂²×C₁₃	1	2	yes	complemented
563	#407	C₂²×C₁₃	1	2	yes	complemented
564	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
565	C₂²×C₁₃	—	2	1	no	—
566	C₂²×C₁₃	—	2	1	no	—
567	C₂²×C₁₃	—	2	2	no	—
568	C₂²×C₁₃	—	2	2	no	—
569	C₂²×C₁₃	—	2	2	no	—
570	C₂²×C₁₃	—	2	2	no	—
571	C₂²×C₁₃	—	2	2	no	—
572	C₂²×C₁₃	—	2	4	no	—
573	C₂²×C₁₃	—	2	2	no	—
574	C₂²×C₁₃	—	2	2	no	—
575	C₂²×C₁₃	—	4	8	no	—
576	C₂²×C₁₃	—	4	1	no	—
577	C₂²×C₁₃	—	4	2	no	—
578	C₂²×C₁₃	—	4	2	no	—
579	C₂²×C₁₃	—	4	1	no	—
580	C₂²×C₁₃	—	4	2	no	—
581	C₂²×C₁₃	—	4	2	no	—
582	C₂²×C₁₃	—	4	2	no	—
583	C₂²×C₁₃	—	8	4	no	—
584	C₂²×C₁₃	—	8	8	no	—
585	C₂²×C₁₃	D₄²	1	2	yes	—
586	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
587	C₄×C₁₃	—	2	1	no	—
588	C₄×C₁₃	—	2	1	no	—
589	C₄×C₁₃	—	2	2	no	—
590	C₄×C₁₃	—	2	2	no	—
591	C₄×C₁₃	—	2	2	no	—
592	C₄×C₁₃	—	2	1	no	—
593	C₄×C₁₃	—	4	1	no	—
594	C₄×C₁₃	—	4	2	no	—
595	C₄×C₁₃	—	4	4	no	—
596	C₄×C₁₃	—	4	2	no	—
597	C₄×C₁₃	—	4	1	no	—
598	C₄×C₁₃	D₄²	1	2	yes	—
599	C₄×C₁₃	#575	1	2	yes	complemented
600	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
601	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
602	C₂×#41	—	2	2	no	—
603	C₂×#41	—	2	2	no	—
604	C₂×#41	—	2	2	no	—
605	C₂×#41	—	2	2	no	—
606	C₂×#41	—	2	8	no	—
607	C₂×#41	—	2	8	no	—
608	C₂×#41	—	4	4	no	—
609	C₂×#41	—	4	4	no	—
610	C₂×#41	C₂³×C₁₃	1	2	yes	—
611	C₂×#41	C₂³×C₁₃	1	2	yes	—
612	C₂×#41	C₂³×C₁₃	1	4	yes	—
613	C₂×#41	C₂³×C₁₃	1	4	yes	—
614	C₂×#41	C₂³×C₁₃	1	2	yes	—
615	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
616	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
617	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
618	C₂²×D₄	—	2	2	no	—
619	C₂²×D₄	—	2	2	no	—
620	C₂²×D₄	—	2	1	no	—
621	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
622	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
623	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
624	C₂³×C₄	—	2	1	no	—
625	C₂³×C₄	—	2	2	no	—
626	C₂³×C₄	—	2	2	no	—
627	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
628	#137	—	2	8	no	—
629	#137	—	2	16	no	—
630	#137	—	2	8	no	—
631	#137	—	4	4	no	—
632	AGL(1,ℤ/8)	—	2	8	no	—
633	AGL(1,ℤ/8)	—	2	16	no	—
634	AGL(1,ℤ/8)	D₄×C₁₃	1	8	yes	complemented
635	#135	—	2	16	no	—
636	#135	—	2	16	no	—
637	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
638	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
639	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
640	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
641	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
642	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
643	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
644	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
645	C₂×D₈	C₂³×C₁₃	1	4	yes	—
646	C₂×D₈	C₂³×C₁₃	1	2	yes	—
647	C₂×M₁₆	—	2	8	no	—
648	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
649	C₂×M₁₆	C₂³×C₁₃	1	4	yes	—
650	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
651	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
652	C₂²×C₈	C₂³×C₁₃	1	4	yes	—
653	C₄⋊Q₈	—	2	1	no	—
654	C₄⋊Q₈	—	2	1	no	—
655	C₄⋊Q₈	—	2	1	no	—
656	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
657	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
658	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
659	#127	—	2	1	no	—
660	#127	C₂³×C₁₃	1	1	yes	characteristic
661	#124	—	2	2	no	—
662	#124	C₂³×C₁₃	1	2	yes	—
663	#123	—	2	2	no	—
664	#123	—	2	2	no	—
665	#123	—	2	4	no	—
666	#123	—	2	4	no	—
667	#123	—	2	4	no	—
668	#123	—	2	4	no	—
669	#123	—	2	2	no	—
670	C₂²⋊Q₈	—	2	2	no	—
671	C₂²⋊Q₈	—	2	2	no	—
672	C₂²⋊Q₈	—	2	2	no	—
673	C₂²⋊Q₈	—	2	2	no	—
674	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
675	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
676	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
677	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
678	#121	—	2	2	no	—
679	#121	—	2	2	no	—
680	#121	—	2	4	no	—
681	#121	—	2	2	no	—
682	#121	—	2	1	no	—
683	#121	—	2	1	no	—
684	#121	—	2	1	no	—
685	#121	—	2	1	no	—
686	#121	—	2	2	no	—
687	#121	—	2	2	no	—
688	#121	C₂³×C₁₃	1	2	yes	—
689	#121	C₂³×C₁₃	1	2	yes	—
690	#120	—	2	2	no	—
691	#120	—	2	2	no	—
692	#120	—	2	2	no	—
693	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
694	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
695	C₄×D₄	—	2	1	no	—
696	C₄×D₄	—	2	2	no	—
697	C₄×D₄	—	2	1	no	—
698	C₄×D₄	—	2	1	no	—
699	C₄×D₄	—	2	2	no	—
700	C₄×D₄	—	2	1	no	—
701	C₄×D₄	—	2	2	no	—
702	C₄×D₄	—	2	1	no	—
703	C₄×D₄	—	2	1	no	—
704	C₄×D₄	—	2	1	no	—
705	C₄×D₄	—	2	1	no	—
706	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
707	C₄×D₄	D₄×C₁₃	1	2	yes	—
708	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
709	C₄×D₄	C₂³×C₁₃	1	2	yes	—
710	C₄×D₄	C₂³×C₁₃	1	2	yes	—
711	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
712	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
713	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
714	C₄×D₄	C₂³×C₁₃	1	2	yes	—
715	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
716	#117	—	2	1	no	—
717	#117	C₂³×C₁₃	1	1	yes	characteristic
718	C₂×C₄⋊C₄	—	2	1	no	—
719	C₂×C₄⋊C₄	—	2	2	no	—
720	C₂×C₄⋊C₄	—	2	1	no	—
721	C₂×C₄⋊C₄	—	2	2	no	—
722	C₂×C₄⋊C₄	—	2	2	no	—
723	C₂×C₄⋊C₄	—	2	4	no	—
724	C₂×C₄⋊C₄	—	2	1	no	—
725	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
726	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
727	C₂×C₂²⋊C₄	—	2	2	no	—
728	C₂×C₂²⋊C₄	—	2	1	no	—
729	C₂×C₂²⋊C₄	—	2	2	no	—
730	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
731	C₂×C₄²	—	2	1	no	—
732	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
733	#107	C₂³×C₁₃	1	2	yes	—
734	#106	C₂³×C₁₃	1	2	yes	—
735	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
736	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
737	#103	C₂³×C₁₃	1	2	yes	—
738	#103	C₂³×C₁₃	1	4	yes	—
739	#103	C₂³×C₁₃	1	4	yes	—
740	#103	C₂³×C₁₃	1	4	yes	—
741	#102	C₂³×C₁₃	1	2	yes	—
742	#102	C₂³×C₁₃	1	4	yes	—
743	#102	C₂³×C₁₃	1	2	yes	—
744	#102	C₂³×C₁₃	1	2	yes	—
745	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
746	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
747	#97	C₂³×C₁₃	1	2	yes	—
748	C₄×C₈	C₂³×C₁₃	1	2	yes	—
749	C₂×C₁₃	—	2	2	no	—
750	C₂×C₁₃	—	4	2	no	—
751	C₂×C₁₃	—	4	2	no	—
752	C₂×C₁₃	—	4	4	no	—
753	C₂×C₁₃	—	4	2	no	—
754	C₂×C₁₃	—	8	2	no	—
755	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
756	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
757	C₂×C₁₃	#3586	1	1	yes	characteristic
758	C₂⁴	—	2	1	no	—
759	C₂⁴	—	2	2	no	—
760	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
761	#41	—	2	2	no	—
762	#41	—	2	4	no	—
763	#41	—	2	8	no	—
764	#41	—	2	4	no	—
765	#41	—	2	8	no	—
766	#41	—	2	4	no	—
767	#41	—	2	4	no	—
768	#41	—	4	8	no	—
769	#41	—	4	4	no	—
770	#41	—	4	2	no	—
771	#41	—	4	4	no	—
772	#41	—	4	2	no	—
773	#41	—	4	8	no	—
774	#41	—	4	8	no	—
775	#41	—	4	8	no	—
776	#41	C₂×D₄×C₁₃	1	4	yes	—
777	C₂×Q₈	—	2	2	no	—
778	C₂×Q₈	—	2	2	no	—
779	C₂×Q₈	—	2	4	no	—
780	C₂×Q₈	—	2	4	no	—
781	C₂×Q₈	—	2	4	no	—
782	C₂×Q₈	—	4	2	no	—
783	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
784	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
785	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
786	C₂×D₄	—	2	1	no	—
787	C₂×D₄	—	2	4	no	—
788	C₂×D₄	—	2	2	no	—
789	C₂×D₄	—	2	2	no	—
790	C₂×D₄	—	2	2	no	—
791	C₂×D₄	—	2	4	no	—
792	C₂×D₄	—	2	4	no	—
793	C₂×D₄	—	2	2	no	—
794	C₂×D₄	—	2	2	no	—
795	C₂×D₄	—	2	1	no	—
796	C₂×D₄	—	2	1	no	—
797	C₂×D₄	—	2	2	no	—
798	C₂×D₄	—	2	1	no	—
799	C₂×D₄	—	2	2	no	—
800	C₂×D₄	—	4	2	no	—
801	C₂×D₄	—	4	2	no	—
802	C₂×D₄	—	4	8	no	—
803	C₂×D₄	—	4	4	no	—
804	C₂×D₄	—	4	8	no	—
805	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
806	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
807	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
808	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	complemented
809	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
810	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
811	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
812	C₂²×C₄	—	2	1	no	—
813	C₂²×C₄	—	2	4	no	—
814	C₂²×C₄	—	2	4	no	—
815	C₂²×C₄	—	2	1	no	—
816	C₂²×C₄	—	2	2	no	—
817	C₂²×C₄	—	2	2	no	—
818	C₂²×C₄	—	2	1	no	—
819	C₂²×C₄	—	2	2	no	—
820	C₂²×C₄	—	2	2	no	—
821	C₂²×C₄	—	2	2	no	—
822	C₂²×C₄	—	2	4	no	—
823	C₂²×C₄	—	2	4	no	—
824	C₂²×C₄	—	2	2	no	—
825	C₂²×C₄	—	2	2	no	—
826	C₂²×C₄	—	2	1	no	—
827	C₂²×C₄	—	4	8	no	—
828	C₂²×C₄	—	4	8	no	—
829	C₂²×C₄	—	4	4	no	—
830	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
831	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
832	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
833	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
834	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
835	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
836	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
837	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
838	Q₁₆	—	2	8	no	—
839	Q₁₆	—	2	8	no	—
840	Q₁₆	—	4	4	no	—
841	SD₁₆	—	2	8	no	—
842	SD₁₆	—	2	8	no	—
843	SD₁₆	—	2	8	no	—
844	SD₁₆	—	4	4	no	—
845	SD₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
846	D₈	—	2	8	no	—
847	D₈	C₂×D₄×C₁₃	1	8	yes	complemented
848	M₁₆	—	2	4	no	—
849	M₁₆	—	2	2	no	—
850	M₁₆	—	2	8	no	—
851	M₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
852	C₂×C₈	—	2	8	no	—
853	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
854	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
855	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
856	C₄⋊C₄	—	2	2	no	—
857	C₄⋊C₄	—	2	2	no	—
858	C₄⋊C₄	—	2	4	no	—
859	C₄⋊C₄	—	2	4	no	—
860	C₄⋊C₄	—	2	1	no	—
861	C₄⋊C₄	—	2	2	no	—
862	C₄⋊C₄	—	2	2	no	—
863	C₄⋊C₄	—	2	2	no	—
864	C₄⋊C₄	—	2	1	no	—
865	C₄⋊C₄	—	2	1	no	—
866	C₄⋊C₄	—	2	1	no	—
867	C₄⋊C₄	—	2	1	no	—
868	C₄⋊C₄	—	2	2	no	—
869	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
870	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
871	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
872	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
873	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
874	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
875	C₂²⋊C₄	—	2	2	no	—
876	C₂²⋊C₄	—	2	4	no	—
877	C₂²⋊C₄	—	2	4	no	—
878	C₂²⋊C₄	—	2	1	no	—
879	C₂²⋊C₄	—	2	2	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	1	no	—
885	C₂²⋊C₄	—	2	1	no	—
886	C₂²⋊C₄	—	2	2	no	—
887	C₂²⋊C₄	—	2	2	no	—
888	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
889	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
890	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
891	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
892	C₄²	—	2	1	no	—
893	C₄²	—	2	1	no	—
894	C₄²	—	2	1	no	—
895	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
896	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
897	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
898	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
899	C₁₃	#61067	1	1	yes	characteristic, direct product factor, Sylow
900	C₂³	—	2	4	no	—
901	C₂³	—	2	2	no	—
902	C₂³	—	2	1	no	—
903	C₂³	—	2	4	no	—
904	C₂³	—	2	2	no	—
905	C₂³	—	4	2	no	—
906	C₂³	—	4	2	no	—
907	C₂³	—	4	4	no	—
908	C₂³	—	4	2	no	—
909	C₂³	—	4	2	no	—
910	C₂³	—	4	4	no	—
911	C₂³	—	8	2	no	—
912	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
913	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
914	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
915	Q₈	—	2	1	no	—
916	Q₈	—	2	2	no	—
917	Q₈	—	2	4	no	—
918	Q₈	—	2	4	no	—
919	Q₈	—	2	2	no	—
920	Q₈	—	4	4	no	—
921	Q₈	—	4	4	no	—
922	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
923	D₄	—	2	4	no	—
924	D₄	—	2	4	no	—
925	D₄	—	2	2	no	—
926	D₄	—	2	2	no	—
927	D₄	—	2	2	no	—
928	D₄	—	2	2	no	—
929	D₄	—	2	1	no	—
930	D₄	—	2	2	no	—
931	D₄	—	4	2	no	—
932	D₄	—	4	4	no	—
933	D₄	—	4	4	no	—
934	D₄	—	4	8	no	—
935	D₄	—	4	4	no	—
936	D₄	—	4	8	no	—
937	D₄	—	4	4	no	—
938	D₄	—	4	4	no	—
939	D₄	—	4	2	no	—
940	D₄	—	8	1	no	—
941	D₄	—	8	2	no	—
942	D₄	C₂²×D₄×C₁₃	1	4	yes	—
943	D₄	C₂²×D₄×C₁₃	1	2	yes	—
944	C₂×C₄	—	2	4	no	—
945	C₂×C₄	—	2	1	no	—
946	C₂×C₄	—	2	4	no	—
947	C₂×C₄	—	2	4	no	—
948	C₂×C₄	—	2	4	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	2	no	—
952	C₂×C₄	—	2	2	no	—
953	C₂×C₄	—	2	2	no	—
954	C₂×C₄	—	2	1	no	—
955	C₂×C₄	—	2	1	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	2	no	—
958	C₂×C₄	—	2	4	no	—
959	C₂×C₄	—	4	1	no	—
960	C₂×C₄	—	4	4	no	—
961	C₂×C₄	—	4	4	no	—
962	C₂×C₄	—	4	4	no	—
963	C₂×C₄	—	4	8	no	—
964	C₂×C₄	—	4	8	no	—
965	C₂×C₄	—	4	4	no	—
966	C₂×C₄	—	4	2	no	—
967	C₂×C₄	—	4	4	no	—
968	C₂×C₄	—	4	4	no	—
969	C₂×C₄	—	4	4	no	—
970	C₂×C₄	—	4	2	no	—
971	C₂×C₄	—	8	1	no	—
972	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
973	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
974	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
975	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
976	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
977	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
978	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
979	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
980	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
981	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
982	C₈	—	2	4	no	—
983	C₈	—	2	2	no	—
984	C₈	C₂²×D₄×C₁₃	1	4	yes	—
985	C₂²	—	2	1	no	—
986	C₂²	—	2	1	no	—
987	C₂²	—	2	2	no	—
988	C₂²	—	2	2	no	—
989	C₂²	—	2	2	no	—
990	C₂²	—	2	2	no	—
991	C₂²	—	2	2	no	—
992	C₂²	—	2	2	no	—
993	C₂²	—	2	2	no	—
994	C₂²	—	2	4	no	—
995	C₂²	—	4	8	no	—
996	C₂²	—	4	2	no	—
997	C₂²	—	4	1	no	—
998	C₂²	—	4	1	no	—
999	C₂²	—	4	2	no	—
1000	C₂²	—	4	2	no	—
1001	C₂²	—	4	2	no	—
1002	C₂²	—	4	2	no	—
1003	C₂²	—	8	4	no	—
1004	C₂²	—	8	8	no	—
1005	C₂²	D₄²×C₁₃	1	2	yes	—
1006	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1007	C₄	—	2	1	no	—
1008	C₄	—	2	1	no	—
1009	C₄	—	2	1	no	—
1010	C₄	—	2	2	no	—
1011	C₄	—	2	2	no	—
1012	C₄	—	2	2	no	—
1013	C₄	—	4	2	no	—
1014	C₄	—	4	1	no	—
1015	C₄	—	4	1	no	—
1016	C₄	—	4	2	no	—
1017	C₄	—	4	4	no	—
1018	C₄	D₄²×C₁₃	1	2	yes	—
1019	C₄	C₁₃×#575	1	2	yes	complemented
1020	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1021	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1022	C₂	—	2	2	no	—
1023	C₂	—	4	2	no	—
1024	C₂	—	4	2	no	—
1025	C₂	—	4	4	no	—
1026	C₂	—	4	2	no	—
1027	C₂	—	8	2	no	—
1028	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1029	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1030	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 ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#575	C₂	semidirect
2. D₄×C₁₃×#41	C₂	semidirect
3. C₂×C₁₃×#547	C₂	semidirect
4. C₁₃×#3284	C₂	semidirect
5. C₁₃×#3283	C₂	semidirect
6. C₁₃×#3276	C₂	semidirect
7. C₁₃×#3272	C₂	semidirect
8. C₁₃×#3269	C₂	semidirect
9. C₁₃×#3267	C₂	semidirect
10. C₁₃×#3152	C₂	semidirect
11. C₁₃×#3056	C₂	semidirect
12. C₁₃×#3039	C₂	semidirect
13. C₁₃×#3036	C₂	semidirect
14. C₁₃×#3007	C₂	semidirect
15. C₁₃×#3005	C₂	semidirect
16. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
17. D₄×C₁₃×M₁₆	C₂	semidirect
19. C₂²×C₁₃×#41	C₂²	semidirect
22. C₂×C₁₃×#137	C₂²	semidirect
23. C₂×C₁₃×#137	C₂²	semidirect
24. C₂×C₁₃×#137	C₂²	semidirect
26. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
27. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
28. C₂×C₁₃×#135	C₂²	semidirect
29. C₂×C₁₃×#135	C₂²	semidirect
30. C₂²×C₁₃×M₁₆	C₂²	semidirect
31. C₁₃×#550	C₂²	semidirect
32. D₄×Q₈×C₁₃	C₂²	semidirect
33. C₁₃×#548	C₂²	semidirect
39. C₁₃×#547	C₂²	semidirect
40. C₁₃×#547	C₂²	semidirect
41. C₁₃×#547	C₂²	semidirect
43. C₁₃×#546	C₂²	semidirect
45. D₄²×C₁₃	C₂²	semidirect
48. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
52. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
57. C₂×C₄×D₄×C₁₃	C₂²	semidirect
59. C₁₃×#497	C₂²	semidirect
60. C₁₃×#494	C₂²	semidirect
61. C₁₃×#492	C₂²	semidirect
62. C₁₃×#470	C₂²	semidirect
63. C₁₃×#468	C₂²	semidirect
64. C₁₃×#467	C₂²	semidirect
65. C₁₃×#465	C₂²	semidirect
66. C₁₃×#463	C₂²	semidirect
67. C₁₃×#462	C₂²	semidirect
68. C₁₃×#462	C₂²	semidirect
69. C₁₃×#461	C₂²	semidirect
70. C₁₃×#461	C₂²	semidirect
71. C₁₃×#461	C₂²	semidirect
72. C₁₃×#459	C₂²	semidirect
73. C₁₃×#452	C₂²	semidirect
74. C₁₃×#452	C₂²	semidirect
75. C₁₃×#452	C₂²	semidirect
76. C₁₃×#452	C₂²	semidirect
77. C₁₃×#451	C₂²	semidirect
78. C₁₃×#450	C₂²	semidirect
79. C₁₃×#449	C₂²	semidirect
80. C₁₃×#449	C₂²	semidirect
81. C₁₃×#442	C₂²	semidirect
82. C₁₃×#440	C₂²	semidirect
83. C₄×C₁₃×SD₁₆	C₂²	semidirect
84. C₄×C₁₃×D₈	C₂²	semidirect
85. C₁₃×#436	C₂²	semidirect
86. C₁₃×#435	C₂²	semidirect
87. C₈×D₄×C₁₃	C₂²	semidirect
88. C₁₃×#428	C₂²	semidirect
89. C₁₃×#423	C₂²	semidirect
90. C₁₃×#419	C₂²	semidirect
91. C₁₃×#418	C₂²	semidirect
93. C₁₃×#417	C₂²	semidirect
94. C₁₃×#407	C₂²	semidirect
95. C₄×C₁₃×M₁₆	C₂²	semidirect
128. C₁₃×AGL(1,ℤ/8)	D₄	semidirect
243. #61067	C₁₃	direct (N × H)
294. C₂×D₄×C₁₃	C₂×D₄	semidirect
331. C₁₃×SD₁₆	C₂×D₄	semidirect
333. C₁₃×D₈	C₂×D₄	semidirect
337. C₁₃×M₁₆	C₂×D₄	semidirect
385. C₂×#575	C₂×C₁₃	semidirect
386. D₄×#41	C₂×C₁₃	semidirect
387. C₂×#547	C₂×C₁₃	semidirect
388. #3284	C₂×C₁₃	semidirect
389. #3283	C₂×C₁₃	semidirect
390. #3276	C₂×C₁₃	semidirect
391. #3272	C₂×C₁₃	semidirect
392. #3269	C₂×C₁₃	semidirect
393. #3267	C₂×C₁₃	semidirect
394. #3152	C₂×C₁₃	semidirect
395. #3056	C₂×C₁₃	semidirect
396. #3039	C₂×C₁₃	semidirect
397. #3036	C₂×C₁₃	semidirect
398. #3007	C₂×C₁₃	semidirect
399. #3005	C₂×C₁₃	semidirect
400. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
401. D₄×M₁₆	C₂×C₁₃	semidirect
488. C₂²×#41	C₂²×C₁₃	semidirect
491. C₂×#137	C₂²×C₁₃	semidirect
492. C₂×#137	C₂²×C₁₃	semidirect
493. C₂×#137	C₂²×C₁₃	semidirect
495. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
496. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
497. C₂×#135	C₂²×C₁₃	semidirect
498. C₂×#135	C₂²×C₁₃	semidirect
499. C₂²×M₁₆	C₂²×C₁₃	semidirect
500. #550	C₂²×C₁₃	semidirect
501. D₄×Q₈	C₂²×C₁₃	semidirect
502. #548	C₂²×C₁₃	semidirect
508. #547	C₂²×C₁₃	semidirect
509. #547	C₂²×C₁₃	semidirect
510. #547	C₂²×C₁₃	semidirect
512. #546	C₂²×C₁₃	semidirect
514. D₄²	C₂²×C₁₃	semidirect
517. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
521. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
526. C₂×C₄×D₄	C₂²×C₁₃	semidirect
528. #497	C₂²×C₁₃	semidirect
529. #494	C₂²×C₁₃	semidirect
530. #492	C₂²×C₁₃	semidirect
531. #470	C₂²×C₁₃	semidirect
532. #468	C₂²×C₁₃	semidirect
533. #467	C₂²×C₁₃	semidirect
534. #465	C₂²×C₁₃	semidirect
535. #463	C₂²×C₁₃	semidirect
536. #462	C₂²×C₁₃	semidirect
537. #462	C₂²×C₁₃	semidirect
538. #461	C₂²×C₁₃	semidirect
539. #461	C₂²×C₁₃	semidirect
540. #461	C₂²×C₁₃	semidirect
541. #459	C₂²×C₁₃	semidirect
542. #452	C₂²×C₁₃	semidirect
543. #452	C₂²×C₁₃	semidirect
544. #452	C₂²×C₁₃	semidirect
545. #452	C₂²×C₁₃	semidirect
546. #451	C₂²×C₁₃	semidirect
547. #450	C₂²×C₁₃	semidirect
548. #449	C₂²×C₁₃	semidirect
549. #449	C₂²×C₁₃	semidirect
550. #442	C₂²×C₁₃	semidirect
551. #440	C₂²×C₁₃	semidirect
552. C₄×SD₁₆	C₂²×C₁₃	semidirect
553. C₄×D₈	C₂²×C₁₃	semidirect
554. #436	C₂²×C₁₃	semidirect
555. #435	C₂²×C₁₃	semidirect
556. C₈×D₄	C₂²×C₁₃	semidirect
557. #428	C₂²×C₁₃	semidirect
558. #423	C₂²×C₁₃	semidirect
559. #419	C₂²×C₁₃	semidirect
560. #418	C₂²×C₁₃	semidirect
562. #417	C₂²×C₁₃	semidirect
563. #407	C₂²×C₁₃	semidirect
564. C₄×M₁₆	C₂²×C₁₃	semidirect
599. C₄×C₁₃	#575	semidirect
634. AGL(1,ℤ/8)	D₄×C₁₃	semidirect
808. C₂×D₄	C₂×D₄×C₁₃	semidirect
845. SD₁₆	C₂×D₄×C₁₃	semidirect
847. D₈	C₂×D₄×C₁₃	semidirect
851. M₁₆	C₂×D₄×C₁₃	semidirect
899. C₁₃	#61067	direct (N × H)
1019. C₄	C₁₃×#575	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₁₃×#575	2
D₄×C₁₃×#41	2
C₂×C₁₃×#547	2
C₁₃×#3284	2
C₁₃×#3283	2
C₁₃×#3276	2
C₁₃×#3272	2
C₁₃×#3269	2
C₁₃×#3267	2
C₁₃×#3152	2
C₁₃×#3056	2
C₁₃×#3039	2
C₁₃×#3036	2
C₁₃×#3007	2
C₁₃×#3005	2
C₄×C₁₃×AGL(1,ℤ/8)	2
D₄×C₁₃×M₁₆	2
#61067	13

Subgroups — C13×#61067 #15747406

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61067 #15747406