Subgroups — C₁₃×#61070 #15747409

Order 3328.

2830 conjugacy classes of subgroups.

The subgroup lattice has 1044 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×#550	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3287	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3284	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3278	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3274	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3271	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3268	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3151	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3055	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3038	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3006	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3005	C₂	1	2	yes	maximal, complemented
16	C₄×C₁₃×#137	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	1	yes	characteristic
22	C₂×C₁₃×#137	C₂²	1	4	yes	complemented
23	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
26	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	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	—	2	1	no	—
32	C₁₃×#550	—	2	1	no	—
33	C₁₃×#550	—	2	2	no	—
34	C₁₃×#550	C₂²	1	2	yes	—
35	C₁₃×#550	C₂²	1	4	yes	complemented
36	C₁₃×#550	C₂²	1	2	yes	complemented
37	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
38	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#548	C₂²	1	2	yes	complemented
40	C₁₃×#547	—	2	1	no	—
41	C₁₃×#547	C₂²	1	1	yes	characteristic, 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×#127	—	2	1	no	—
49	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#525	—	2	2	no	—
51	C₁₃×#525	C₂²	1	2	yes	—
52	C₂×C₁₃×#121	—	2	2	no	—
53	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₄×D₄×C₁₃	—	2	1	no	—
57	C₂×C₄×D₄×C₁₃	—	2	1	no	—
58	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
59	C₁₃×#496	C₂²	1	4	yes	complemented
60	C₁₃×#493	C₂²	1	2	yes	complemented
61	C₁₃×#492	C₂²	1	2	yes	complemented
62	C₁₃×#469	C₂²	1	4	yes	complemented
63	C₁₃×#468	C₂²	1	4	yes	complemented
64	C₁₃×#466	C₂²	1	4	yes	complemented
65	C₁₃×#465	C₂²	1	4	yes	complemented
66	C₁₃×#464	C₂²	1	4	yes	complemented
67	C₁₃×#462	C₂²	1	2	yes	complemented
68	C₁₃×#460	C₂²	1	2	yes	complemented
69	C₁₃×#460	C₂²	1	2	yes	complemented
70	C₁₃×#460	C₂²	1	2	yes	complemented
71	C₁₃×#459	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×#449	C₂²	1	4	yes	complemented
76	C₁₃×#449	C₂²	1	4	yes	complemented
77	C₁₃×#449	C₂²	1	4	yes	complemented
78	C₁₃×#449	C₂²	1	4	yes	complemented
79	C₁₃×#448	C₂²	1	4	yes	complemented
80	C₁₃×#447	C₂²	1	4	yes	complemented
81	C₁₃×#441	C₂²	1	2	yes	complemented
82	C₁₃×#440	C₂²	1	2	yes	complemented
83	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
84	C₄×C₁₃×SD₁₆	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	1	yes	characteristic, complemented
91	C₁₃×#418	C₂²	1	2	yes	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	2	yes	—
106	C₂×C₁₃×#41	C₂³	1	2	yes	—
107	C₂×C₁₃×#41	C₂³	1	4	yes	—
108	C₂×C₁₃×#41	C₂³	1	4	yes	—
109	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
110	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
111	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
112	C₂²×D₄×C₁₃	—	2	2	no	—
113	C₂²×D₄×C₁₃	—	2	2	no	—
114	C₂²×D₄×C₁₃	—	2	2	no	—
115	C₂²×D₄×C₁₃	—	2	1	no	—
116	C₂²×D₄×C₁₃	—	2	1	no	—
117	C₂²×D₄×C₁₃	—	2	1	no	—
118	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
119	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
120	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
121	C₂³×C₄×C₁₃	—	2	2	no	—
122	C₂³×C₄×C₁₃	—	2	2	no	—
123	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
124	C₁₃×#137	—	2	8	no	—
125	C₁₃×#137	—	2	16	no	—
126	C₁₃×#137	D₄	1	8	yes	complemented
127	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
128	C₁₃×AGL(1,ℤ/8)	—	2	16	no	—
129	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
130	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
131	C₁₃×#135	—	2	16	no	—
132	C₁₃×#135	—	2	16	no	—
133	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
134	C₂×C₁₃×Q₁₆	C₂³	1	2	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	4	yes	—
139	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
140	C₂×C₁₃×D₈	C₂³	1	4	yes	—
141	C₂×C₁₃×D₈	C₂³	1	4	yes	—
142	C₂×C₁₃×D₈	C₂³	1	4	yes	—
143	C₂×C₁₃×M₁₆	—	2	8	no	—
144	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×M₁₆	C₂³	1	4	yes	—
147	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
148	C₂²×C₈×C₁₃	C₂³	1	4	yes	—
149	C₁₃×C₄⋊Q₈	—	2	1	no	—
150	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
151	C₁₃×#127	—	2	2	no	—
152	C₁₃×#127	—	2	2	no	—
153	C₁₃×#127	—	2	4	no	—
154	C₁₃×#127	—	2	1	no	—
155	C₁₃×#127	—	2	1	no	—
156	C₁₃×#127	—	2	1	no	—
157	C₁₃×#127	C₂³	1	2	yes	—
158	C₁₃×#127	C₂³	1	2	yes	—
159	C₁₃×#127	C₂³	1	1	yes	characteristic
160	C₁₃×#124	—	2	2	no	—
161	C₁₃×#124	C₂³	1	2	yes	—
162	C₁₃×#123	—	2	2	no	—
163	C₁₃×#123	—	2	2	no	—
164	C₁₃×#123	—	2	2	no	—
165	C₁₃×C₂²⋊Q₈	—	2	2	no	—
166	C₁₃×C₂²⋊Q₈	—	2	2	no	—
167	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
168	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
169	C₁₃×#121	—	2	2	no	—
170	C₁₃×#121	—	2	1	no	—
171	C₁₃×#121	—	2	2	no	—
172	C₁₃×#121	—	2	2	no	—
173	C₁₃×#121	—	2	1	no	—
174	C₁₃×#121	—	2	1	no	—
175	C₁₃×#121	—	2	1	no	—
176	C₁₃×#121	—	2	4	no	—
177	C₁₃×#121	—	2	4	no	—
178	C₁₃×#121	—	2	4	no	—
179	C₁₃×#121	—	2	4	no	—
180	C₁₃×#121	—	2	2	no	—
181	C₁₃×#121	—	2	2	no	—
182	C₁₃×#121	C₂³	1	4	yes	—
183	C₁₃×#121	C₂³	1	4	yes	—
184	C₁₃×#121	C₂³	1	2	yes	—
185	C₁₃×#121	C₂³	1	2	yes	—
186	C₁₃×#120	—	2	2	no	—
187	C₁₃×#120	—	2	2	no	—
188	C₁₃×#120	—	2	2	no	—
189	C₄×Q₈×C₁₃	—	2	1	no	—
190	C₄×Q₈×C₁₃	—	2	1	no	—
191	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
192	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
193	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
194	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
195	C₄×D₄×C₁₃	—	2	1	no	—
196	C₄×D₄×C₁₃	—	2	2	no	—
197	C₄×D₄×C₁₃	—	2	1	no	—
198	C₄×D₄×C₁₃	—	2	1	no	—
199	C₄×D₄×C₁₃	—	2	2	no	—
200	C₄×D₄×C₁₃	—	2	1	no	—
201	C₄×D₄×C₁₃	—	2	2	no	—
202	C₄×D₄×C₁₃	—	2	2	no	—
203	C₄×D₄×C₁₃	—	2	4	no	—
204	C₄×D₄×C₁₃	—	2	2	no	—
205	C₄×D₄×C₁₃	—	2	1	no	—
206	C₄×D₄×C₁₃	—	2	1	no	—
207	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
208	C₄×D₄×C₁₃	D₄	1	2	yes	—
209	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
210	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
211	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
212	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
213	C₄×D₄×C₁₃	C₂³	1	2	yes	—
214	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
215	C₁₃×#117	—	2	1	no	—
216	C₁₃×#117	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	—	2	1	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	2	no	—
223	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
224	C₂×C₄²×C₁₃	—	2	1	no	—
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	2	yes	—
234	C₁₃×#103	C₂³	1	2	yes	—
235	C₁₃×#102	C₂³	1	2	yes	—
236	C₁₃×#102	C₂³	1	4	yes	—
237	C₁₃×#102	C₂³	1	4	yes	—
238	C₁₃×#102	C₂³	1	4	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	#61070	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
244	C₂⁴×C₁₃	—	2	2	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	8	no	—
251	C₁₃×#41	—	2	4	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	1	no	—
264	C₂×Q₈×C₁₃	—	2	2	no	—
265	C₂×Q₈×C₁₃	—	2	2	no	—
266	C₂×Q₈×C₁₃	—	2	4	no	—
267	C₂×Q₈×C₁₃	—	4	2	no	—
268	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	complemented
269	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
270	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
271	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
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	2	no	—
278	C₂×D₄×C₁₃	—	2	4	no	—
279	C₂×D₄×C₁₃	—	2	4	no	—
280	C₂×D₄×C₁₃	—	2	2	no	—
281	C₂×D₄×C₁₃	—	2	4	no	—
282	C₂×D₄×C₁₃	—	2	4	no	—
283	C₂×D₄×C₁₃	—	2	4	no	—
284	C₂×D₄×C₁₃	—	2	1	no	—
285	C₂×D₄×C₁₃	—	2	2	no	—
286	C₂×D₄×C₁₃	—	2	2	no	—
287	C₂×D₄×C₁₃	—	2	2	no	—
288	C₂×D₄×C₁₃	—	2	2	no	—
289	C₂×D₄×C₁₃	—	2	1	no	—
290	C₂×D₄×C₁₃	—	2	2	no	—
291	C₂×D₄×C₁₃	—	2	2	no	—
292	C₂×D₄×C₁₃	—	2	4	no	—
293	C₂×D₄×C₁₃	—	4	2	no	—
294	C₂×D₄×C₁₃	—	4	2	no	—
295	C₂×D₄×C₁₃	—	4	8	no	—
296	C₂×D₄×C₁₃	—	4	4	no	—
297	C₂×D₄×C₁₃	—	4	8	no	—
298	C₂×D₄×C₁₃	—	4	4	no	—
299	C₂×D₄×C₁₃	—	8	2	no	—
300	C₂×D₄×C₁₃	—	8	4	no	—
301	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
302	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
303	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
304	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
305	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
306	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₃	—	2	1	no	—
308	C₂²×C₄×C₁₃	—	2	1	no	—
309	C₂²×C₄×C₁₃	—	2	4	no	—
310	C₂²×C₄×C₁₃	—	2	4	no	—
311	C₂²×C₄×C₁₃	—	2	1	no	—
312	C₂²×C₄×C₁₃	—	2	2	no	—
313	C₂²×C₄×C₁₃	—	2	1	no	—
314	C₂²×C₄×C₁₃	—	2	2	no	—
315	C₂²×C₄×C₁₃	—	2	2	no	—
316	C₂²×C₄×C₁₃	—	2	4	no	—
317	C₂²×C₄×C₁₃	—	2	4	no	—
318	C₂²×C₄×C₁₃	—	2	2	no	—
319	C₂²×C₄×C₁₃	—	2	1	no	—
320	C₂²×C₄×C₁₃	—	4	8	no	—
321	C₂²×C₄×C₁₃	—	4	8	no	—
322	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
323	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
324	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
325	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
326	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
327	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
330	C₁₃×Q₁₆	—	2	8	no	—
331	C₁₃×Q₁₆	C₂×D₄	1	8	yes	complemented
332	C₁₃×SD₁₆	—	2	8	no	—
333	C₁₃×SD₁₆	—	2	8	no	—
334	C₁₃×SD₁₆	—	2	8	no	—
335	C₁₃×SD₁₆	—	4	4	no	—
336	C₁₃×SD₁₆	C₂×D₄	1	8	yes	complemented
337	C₁₃×D₈	—	2	8	no	—
338	C₁₃×D₈	—	2	8	no	—
339	C₁₃×D₈	—	4	4	no	—
340	C₁₃×M₁₆	—	2	4	no	—
341	C₁₃×M₁₆	—	2	2	no	—
342	C₁₃×M₁₆	—	2	8	no	—
343	C₁₃×M₁₆	C₂×D₄	1	4	yes	complemented
344	C₂×C₈×C₁₃	—	2	8	no	—
345	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
346	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
347	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
348	C₁₃×C₄⋊C₄	—	2	1	no	—
349	C₁₃×C₄⋊C₄	—	2	2	no	—
350	C₁₃×C₄⋊C₄	—	2	2	no	—
351	C₁₃×C₄⋊C₄	—	2	2	no	—
352	C₁₃×C₄⋊C₄	—	2	1	no	—
353	C₁₃×C₄⋊C₄	—	2	1	no	—
354	C₁₃×C₄⋊C₄	—	2	1	no	—
355	C₁₃×C₄⋊C₄	—	2	1	no	—
356	C₁₃×C₄⋊C₄	—	2	2	no	—
357	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
358	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
359	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
360	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
361	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
362	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
363	C₁₃×C₂²⋊C₄	—	2	2	no	—
364	C₁₃×C₂²⋊C₄	—	2	1	no	—
365	C₁₃×C₂²⋊C₄	—	2	2	no	—
366	C₁₃×C₂²⋊C₄	—	2	4	no	—
367	C₁₃×C₂²⋊C₄	—	2	4	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	—	2	2	no	—
382	C₄²×C₁₃	—	2	2	no	—
383	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
384	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
385	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×#575	C₂×C₁₃	1	2	yes	complemented
388	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
389	C₂×#550	C₂×C₁₃	1	1	yes	characteristic, complemented
390	#3287	C₂×C₁₃	1	2	yes	complemented
391	#3284	C₂×C₁₃	1	2	yes	complemented
392	#3278	C₂×C₁₃	1	2	yes	complemented
393	#3274	C₂×C₁₃	1	2	yes	complemented
394	#3271	C₂×C₁₃	1	4	yes	complemented
395	#3268	C₂×C₁₃	1	4	yes	complemented
396	#3151	C₂×C₁₃	1	1	yes	characteristic, complemented
397	#3055	C₂×C₁₃	1	2	yes	complemented
398	#3038	C₂×C₁₃	1	1	yes	characteristic, complemented
399	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
400	#3006	C₂×C₁₃	1	2	yes	complemented
401	#3005	C₂×C₁₃	1	2	yes	complemented
402	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
403	D₄×M₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
404	C₂³×C₁₃	—	2	1	no	—
405	C₂³×C₁₃	—	2	4	no	—
406	C₂³×C₁₃	—	2	2	no	—
407	C₂³×C₁₃	—	2	4	no	—
408	C₂³×C₁₃	—	4	2	no	—
409	C₂³×C₁₃	—	4	2	no	—
410	C₂³×C₁₃	—	4	4	no	—
411	C₂³×C₁₃	—	4	4	no	—
412	C₂³×C₁₃	—	4	4	no	—
413	C₂³×C₁₃	—	4	4	no	—
414	C₂³×C₁₃	—	4	4	no	—
415	C₂³×C₁₃	—	8	2	no	—
416	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
417	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
418	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
419	Q₈×C₁₃	—	2	4	no	—
420	Q₈×C₁₃	—	2	2	no	—
421	Q₈×C₁₃	—	2	1	no	—
422	Q₈×C₁₃	—	2	2	no	—
423	Q₈×C₁₃	—	2	2	no	—
424	Q₈×C₁₃	—	4	4	no	—
425	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
426	Q₈×C₁₃	C₂²×D₄	1	4	yes	—
427	D₄×C₁₃	—	2	4	no	—
428	D₄×C₁₃	—	2	2	no	—
429	D₄×C₁₃	—	2	2	no	—
430	D₄×C₁₃	—	2	4	no	—
431	D₄×C₁₃	—	2	2	no	—
432	D₄×C₁₃	—	2	1	no	—
433	D₄×C₁₃	—	2	2	no	—
434	D₄×C₁₃	—	2	4	no	—
435	D₄×C₁₃	—	4	2	no	—
436	D₄×C₁₃	—	4	4	no	—
437	D₄×C₁₃	—	4	4	no	—
438	D₄×C₁₃	—	4	8	no	—
439	D₄×C₁₃	—	4	8	no	—
440	D₄×C₁₃	—	4	4	no	—
441	D₄×C₁₃	—	4	4	no	—
442	D₄×C₁₃	—	4	4	no	—
443	D₄×C₁₃	—	4	4	no	—
444	D₄×C₁₃	—	4	4	no	—
445	D₄×C₁₃	—	4	2	no	—
446	D₄×C₁₃	—	4	4	no	—
447	D₄×C₁₃	—	8	1	no	—
448	D₄×C₁₃	—	8	2	no	—
449	D₄×C₁₃	—	8	2	no	—
450	D₄×C₁₃	—	8	2	no	—
451	D₄×C₁₃	—	8	4	no	—
452	D₄×C₁₃	—	8	4	no	—
453	D₄×C₁₃	C₂²×D₄	1	2	yes	—
454	C₂×C₄×C₁₃	—	2	4	no	—
455	C₂×C₄×C₁₃	—	2	4	no	—
456	C₂×C₄×C₁₃	—	2	2	no	—
457	C₂×C₄×C₁₃	—	2	1	no	—
458	C₂×C₄×C₁₃	—	2	4	no	—
459	C₂×C₄×C₁₃	—	2	4	no	—
460	C₂×C₄×C₁₃	—	2	4	no	—
461	C₂×C₄×C₁₃	—	2	2	no	—
462	C₂×C₄×C₁₃	—	2	2	no	—
463	C₂×C₄×C₁₃	—	2	2	no	—
464	C₂×C₄×C₁₃	—	2	2	no	—
465	C₂×C₄×C₁₃	—	2	2	no	—
466	C₂×C₄×C₁₃	—	2	1	no	—
467	C₂×C₄×C₁₃	—	2	1	no	—
468	C₂×C₄×C₁₃	—	2	2	no	—
469	C₂×C₄×C₁₃	—	2	2	no	—
470	C₂×C₄×C₁₃	—	4	1	no	—
471	C₂×C₄×C₁₃	—	4	4	no	—
472	C₂×C₄×C₁₃	—	4	8	no	—
473	C₂×C₄×C₁₃	—	4	8	no	—
474	C₂×C₄×C₁₃	—	4	4	no	—
475	C₂×C₄×C₁₃	—	4	4	no	—
476	C₂×C₄×C₁₃	—	4	2	no	—
477	C₂×C₄×C₁₃	—	4	4	no	—
478	C₂×C₄×C₁₃	—	4	2	no	—
479	C₂×C₄×C₁₃	—	8	1	no	—
480	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
481	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
482	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
483	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
484	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
485	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
486	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
487	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
488	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
489	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
490	C₈×C₁₃	—	2	4	no	—
491	C₈×C₁₃	—	2	2	no	—
492	C₈×C₁₃	C₂²×D₄	1	4	yes	—
493	C₂²×#41	C₂²×C₁₃	1	2	yes	—
494	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
495	#575	—	2	16	no	—
496	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
497	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
498	C₂×#137	C₂²×C₁₃	1	4	yes	complemented
499	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
500	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
501	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	4	yes	complemented
502	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
503	C₂×#135	C₂²×C₁₃	1	4	yes	complemented
504	C₂×#135	C₂²×C₁₃	1	4	yes	complemented
505	C₂²×M₁₆	C₂²×C₁₃	1	2	yes	complemented
506	#550	—	2	1	no	—
507	#550	—	2	1	no	—
508	#550	—	2	2	no	—
509	#550	C₂²×C₁₃	1	2	yes	—
510	#550	C₂²×C₁₃	1	4	yes	complemented
511	#550	C₂²×C₁₃	1	2	yes	complemented
512	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
513	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
514	#548	C₂²×C₁₃	1	2	yes	complemented
515	#547	—	2	1	no	—
516	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
517	#546	—	2	2	no	—
518	#546	C₂²×C₁₃	1	2	yes	complemented
519	D₄²	—	2	1	no	—
520	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
521	#532	—	2	1	no	—
522	#532	C₂²×C₁₃	1	1	yes	characteristic
523	C₂×#127	—	2	1	no	—
524	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
525	#525	—	2	2	no	—
526	#525	C₂²×C₁₃	1	2	yes	—
527	C₂×#121	—	2	2	no	—
528	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
529	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
530	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
531	C₂×C₄×D₄	—	2	1	no	—
532	C₂×C₄×D₄	—	2	1	no	—
533	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
534	#496	C₂²×C₁₃	1	4	yes	complemented
535	#493	C₂²×C₁₃	1	2	yes	complemented
536	#492	C₂²×C₁₃	1	2	yes	complemented
537	#469	C₂²×C₁₃	1	4	yes	complemented
538	#468	C₂²×C₁₃	1	4	yes	complemented
539	#466	C₂²×C₁₃	1	4	yes	complemented
540	#465	C₂²×C₁₃	1	4	yes	complemented
541	#464	C₂²×C₁₃	1	4	yes	complemented
542	#462	C₂²×C₁₃	1	2	yes	complemented
543	#460	C₂²×C₁₃	1	2	yes	complemented
544	#460	C₂²×C₁₃	1	2	yes	complemented
545	#460	C₂²×C₁₃	1	2	yes	complemented
546	#459	C₂²×C₁₃	1	2	yes	complemented
547	#459	C₂²×C₁₃	1	2	yes	complemented
548	#452	C₂²×C₁₃	1	4	yes	complemented
549	#452	C₂²×C₁₃	1	4	yes	complemented
550	#449	C₂²×C₁₃	1	4	yes	complemented
551	#449	C₂²×C₁₃	1	4	yes	complemented
552	#449	C₂²×C₁₃	1	4	yes	complemented
553	#449	C₂²×C₁₃	1	4	yes	complemented
554	#448	C₂²×C₁₃	1	4	yes	complemented
555	#447	C₂²×C₁₃	1	4	yes	complemented
556	#441	C₂²×C₁₃	1	2	yes	complemented
557	#440	C₂²×C₁₃	1	2	yes	complemented
558	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
559	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
560	#436	C₂²×C₁₃	1	2	yes	complemented
561	#435	C₂²×C₁₃	1	4	yes	complemented
562	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
563	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
564	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
565	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
566	#418	C₂²×C₁₃	1	2	yes	complemented
567	#417	C₂²×C₁₃	1	1	yes	characteristic
568	#417	C₂²×C₁₃	1	2	yes	complemented
569	#407	C₂²×C₁₃	1	2	yes	complemented
570	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
571	C₂²×C₁₃	—	2	1	no	—
572	C₂²×C₁₃	—	2	1	no	—
573	C₂²×C₁₃	—	2	2	no	—
574	C₂²×C₁₃	—	2	2	no	—
575	C₂²×C₁₃	—	2	2	no	—
576	C₂²×C₁₃	—	2	2	no	—
577	C₂²×C₁₃	—	2	2	no	—
578	C₂²×C₁₃	—	2	2	no	—
579	C₂²×C₁₃	—	2	2	no	—
580	C₂²×C₁₃	—	4	1	no	—
581	C₂²×C₁₃	—	4	1	no	—
582	C₂²×C₁₃	—	4	4	no	—
583	C₂²×C₁₃	—	4	2	no	—
584	C₂²×C₁₃	—	4	4	no	—
585	C₂²×C₁₃	—	4	2	no	—
586	C₂²×C₁₃	—	4	4	no	—
587	C₂²×C₁₃	—	4	2	no	—
588	C₂²×C₁₃	—	8	4	no	—
589	C₂²×C₁₃	—	8	8	no	—
590	C₂²×C₁₃	—	8	8	no	—
591	C₂²×C₁₃	D₄²	1	2	yes	—
592	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
593	C₄×C₁₃	—	2	1	no	—
594	C₄×C₁₃	—	2	1	no	—
595	C₄×C₁₃	—	2	2	no	—
596	C₄×C₁₃	—	2	2	no	—
597	C₄×C₁₃	—	2	2	no	—
598	C₄×C₁₃	—	2	4	no	—
599	C₄×C₁₃	—	2	1	no	—
600	C₄×C₁₃	—	4	2	no	—
601	C₄×C₁₃	—	4	1	no	—
602	C₄×C₁₃	—	4	2	no	—
603	C₄×C₁₃	—	4	1	no	—
604	C₄×C₁₃	D₄²	1	2	yes	—
605	C₄×C₁₃	#575	1	2	yes	complemented
606	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
607	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
608	C₂×#41	—	2	2	no	—
609	C₂×#41	—	2	2	no	—
610	C₂×#41	—	2	2	no	—
611	C₂×#41	—	2	2	no	—
612	C₂×#41	—	2	8	no	—
613	C₂×#41	—	2	8	no	—
614	C₂×#41	—	4	4	no	—
615	C₂×#41	—	4	4	no	—
616	C₂×#41	C₂³×C₁₃	1	2	yes	—
617	C₂×#41	C₂³×C₁₃	1	2	yes	—
618	C₂×#41	C₂³×C₁₃	1	2	yes	—
619	C₂×#41	C₂³×C₁₃	1	4	yes	—
620	C₂×#41	C₂³×C₁₃	1	4	yes	—
621	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
622	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
623	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
624	C₂²×D₄	—	2	2	no	—
625	C₂²×D₄	—	2	2	no	—
626	C₂²×D₄	—	2	2	no	—
627	C₂²×D₄	—	2	1	no	—
628	C₂²×D₄	—	2	1	no	—
629	C₂²×D₄	—	2	1	no	—
630	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
631	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
632	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
633	C₂³×C₄	—	2	2	no	—
634	C₂³×C₄	—	2	2	no	—
635	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
636	#137	—	2	8	no	—
637	#137	—	2	16	no	—
638	#137	D₄×C₁₃	1	8	yes	complemented
639	AGL(1,ℤ/8)	—	2	8	no	—
640	AGL(1,ℤ/8)	—	2	16	no	—
641	AGL(1,ℤ/8)	—	2	8	no	—
642	AGL(1,ℤ/8)	—	4	4	no	—
643	#135	—	2	16	no	—
644	#135	—	2	16	no	—
645	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
646	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
647	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
648	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
649	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
650	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
651	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
652	C₂×D₈	C₂³×C₁₃	1	4	yes	—
653	C₂×D₈	C₂³×C₁₃	1	4	yes	—
654	C₂×D₈	C₂³×C₁₃	1	4	yes	—
655	C₂×M₁₆	—	2	8	no	—
656	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
657	C₂×M₁₆	C₂³×C₁₃	1	4	yes	—
658	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
659	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
660	C₂²×C₈	C₂³×C₁₃	1	4	yes	—
661	C₄⋊Q₈	—	2	1	no	—
662	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
663	#127	—	2	2	no	—
664	#127	—	2	2	no	—
665	#127	—	2	4	no	—
666	#127	—	2	1	no	—
667	#127	—	2	1	no	—
668	#127	—	2	1	no	—
669	#127	C₂³×C₁₃	1	2	yes	—
670	#127	C₂³×C₁₃	1	2	yes	—
671	#127	C₂³×C₁₃	1	1	yes	characteristic
672	#124	—	2	2	no	—
673	#124	C₂³×C₁₃	1	2	yes	—
674	#123	—	2	2	no	—
675	#123	—	2	2	no	—
676	#123	—	2	2	no	—
677	C₂²⋊Q₈	—	2	2	no	—
678	C₂²⋊Q₈	—	2	2	no	—
679	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
680	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
681	#121	—	2	2	no	—
682	#121	—	2	1	no	—
683	#121	—	2	2	no	—
684	#121	—	2	2	no	—
685	#121	—	2	1	no	—
686	#121	—	2	1	no	—
687	#121	—	2	1	no	—
688	#121	—	2	4	no	—
689	#121	—	2	4	no	—
690	#121	—	2	4	no	—
691	#121	—	2	4	no	—
692	#121	—	2	2	no	—
693	#121	—	2	2	no	—
694	#121	C₂³×C₁₃	1	4	yes	—
695	#121	C₂³×C₁₃	1	4	yes	—
696	#121	C₂³×C₁₃	1	2	yes	—
697	#121	C₂³×C₁₃	1	2	yes	—
698	#120	—	2	2	no	—
699	#120	—	2	2	no	—
700	#120	—	2	2	no	—
701	C₄×Q₈	—	2	1	no	—
702	C₄×Q₈	—	2	1	no	—
703	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
704	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
705	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
706	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
707	C₄×D₄	—	2	1	no	—
708	C₄×D₄	—	2	2	no	—
709	C₄×D₄	—	2	1	no	—
710	C₄×D₄	—	2	1	no	—
711	C₄×D₄	—	2	2	no	—
712	C₄×D₄	—	2	1	no	—
713	C₄×D₄	—	2	2	no	—
714	C₄×D₄	—	2	2	no	—
715	C₄×D₄	—	2	4	no	—
716	C₄×D₄	—	2	2	no	—
717	C₄×D₄	—	2	1	no	—
718	C₄×D₄	—	2	1	no	—
719	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
720	C₄×D₄	D₄×C₁₃	1	2	yes	—
721	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
722	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
723	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
724	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
725	C₄×D₄	C₂³×C₁₃	1	2	yes	—
726	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
727	#117	—	2	1	no	—
728	#117	C₂³×C₁₃	1	1	yes	characteristic
729	C₂×C₄⋊C₄	—	2	1	no	—
730	C₂×C₄⋊C₄	—	2	1	no	—
731	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
733	C₂×C₂²⋊C₄	—	2	2	no	—
734	C₂×C₂²⋊C₄	—	2	2	no	—
735	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
736	C₂×C₄²	—	2	1	no	—
737	C₂×C₄²	—	2	1	no	—
738	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
739	#107	C₂³×C₁₃	1	2	yes	—
740	#106	C₂³×C₁₃	1	2	yes	—
741	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
742	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
743	#103	C₂³×C₁₃	1	2	yes	—
744	#103	C₂³×C₁₃	1	4	yes	—
745	#103	C₂³×C₁₃	1	2	yes	—
746	#103	C₂³×C₁₃	1	2	yes	—
747	#102	C₂³×C₁₃	1	2	yes	—
748	#102	C₂³×C₁₃	1	4	yes	—
749	#102	C₂³×C₁₃	1	4	yes	—
750	#102	C₂³×C₁₃	1	4	yes	—
751	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
752	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
753	#97	C₂³×C₁₃	1	2	yes	—
754	C₄×C₈	C₂³×C₁₃	1	2	yes	—
755	C₂×C₁₃	—	2	2	no	—
756	C₂×C₁₃	—	4	2	no	—
757	C₂×C₁₃	—	4	2	no	—
758	C₂×C₁₃	—	4	2	no	—
759	C₂×C₁₃	—	8	4	no	—
760	C₂×C₁₃	—	8	2	no	—
761	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
762	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
763	C₂×C₁₃	#3585	1	1	yes	characteristic
764	C₂⁴	—	2	2	no	—
765	C₂⁴	—	2	2	no	—
766	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
767	#41	—	2	2	no	—
768	#41	—	2	4	no	—
769	#41	—	2	8	no	—
770	#41	—	2	8	no	—
771	#41	—	2	4	no	—
772	#41	—	2	4	no	—
773	#41	—	2	4	no	—
774	#41	—	4	8	no	—
775	#41	—	4	4	no	—
776	#41	—	4	2	no	—
777	#41	—	4	4	no	—
778	#41	—	4	2	no	—
779	#41	—	4	8	no	—
780	#41	—	4	8	no	—
781	#41	—	4	8	no	—
782	#41	C₂×D₄×C₁₃	1	4	yes	—
783	C₂×Q₈	—	2	1	no	—
784	C₂×Q₈	—	2	2	no	—
785	C₂×Q₈	—	2	2	no	—
786	C₂×Q₈	—	2	4	no	—
787	C₂×Q₈	—	4	2	no	—
788	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	complemented
789	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
790	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
791	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
792	C₂×D₄	—	2	1	no	—
793	C₂×D₄	—	2	4	no	—
794	C₂×D₄	—	2	2	no	—
795	C₂×D₄	—	2	2	no	—
796	C₂×D₄	—	2	2	no	—
797	C₂×D₄	—	2	2	no	—
798	C₂×D₄	—	2	4	no	—
799	C₂×D₄	—	2	4	no	—
800	C₂×D₄	—	2	2	no	—
801	C₂×D₄	—	2	4	no	—
802	C₂×D₄	—	2	4	no	—
803	C₂×D₄	—	2	4	no	—
804	C₂×D₄	—	2	1	no	—
805	C₂×D₄	—	2	2	no	—
806	C₂×D₄	—	2	2	no	—
807	C₂×D₄	—	2	2	no	—
808	C₂×D₄	—	2	2	no	—
809	C₂×D₄	—	2	1	no	—
810	C₂×D₄	—	2	2	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	2	4	no	—
813	C₂×D₄	—	4	2	no	—
814	C₂×D₄	—	4	2	no	—
815	C₂×D₄	—	4	8	no	—
816	C₂×D₄	—	4	4	no	—
817	C₂×D₄	—	4	8	no	—
818	C₂×D₄	—	4	4	no	—
819	C₂×D₄	—	8	2	no	—
820	C₂×D₄	—	8	4	no	—
821	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
822	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
823	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
824	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
825	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
826	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
827	C₂²×C₄	—	2	1	no	—
828	C₂²×C₄	—	2	1	no	—
829	C₂²×C₄	—	2	4	no	—
830	C₂²×C₄	—	2	4	no	—
831	C₂²×C₄	—	2	1	no	—
832	C₂²×C₄	—	2	2	no	—
833	C₂²×C₄	—	2	1	no	—
834	C₂²×C₄	—	2	2	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	4	no	—
837	C₂²×C₄	—	2	4	no	—
838	C₂²×C₄	—	2	2	no	—
839	C₂²×C₄	—	2	1	no	—
840	C₂²×C₄	—	4	8	no	—
841	C₂²×C₄	—	4	8	no	—
842	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
843	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
844	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
845	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
846	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
847	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
848	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
849	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
850	Q₁₆	—	2	8	no	—
851	Q₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
852	SD₁₆	—	2	8	no	—
853	SD₁₆	—	2	8	no	—
854	SD₁₆	—	2	8	no	—
855	SD₁₆	—	4	4	no	—
856	SD₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
857	D₈	—	2	8	no	—
858	D₈	—	2	8	no	—
859	D₈	—	4	4	no	—
860	M₁₆	—	2	4	no	—
861	M₁₆	—	2	2	no	—
862	M₁₆	—	2	8	no	—
863	M₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
864	C₂×C₈	—	2	8	no	—
865	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
866	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
867	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
868	C₄⋊C₄	—	2	1	no	—
869	C₄⋊C₄	—	2	2	no	—
870	C₄⋊C₄	—	2	2	no	—
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	1	no	—
873	C₄⋊C₄	—	2	1	no	—
874	C₄⋊C₄	—	2	1	no	—
875	C₄⋊C₄	—	2	1	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
878	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
879	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
880	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
881	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
882	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
883	C₂²⋊C₄	—	2	2	no	—
884	C₂²⋊C₄	—	2	1	no	—
885	C₂²⋊C₄	—	2	2	no	—
886	C₂²⋊C₄	—	2	4	no	—
887	C₂²⋊C₄	—	2	4	no	—
888	C₂²⋊C₄	—	2	2	no	—
889	C₂²⋊C₄	—	2	2	no	—
890	C₂²⋊C₄	—	2	1	no	—
891	C₂²⋊C₄	—	2	1	no	—
892	C₂²⋊C₄	—	2	2	no	—
893	C₂²⋊C₄	—	2	2	no	—
894	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
895	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
896	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
897	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
898	C₄²	—	2	1	no	—
899	C₄²	—	2	1	no	—
900	C₄²	—	2	1	no	—
901	C₄²	—	2	2	no	—
902	C₄²	—	2	2	no	—
903	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
904	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
905	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
906	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
907	C₁₃	#61070	1	1	yes	characteristic, direct product factor, Sylow
908	C₂³	—	2	1	no	—
909	C₂³	—	2	4	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	2	4	no	—
912	C₂³	—	4	2	no	—
913	C₂³	—	4	2	no	—
914	C₂³	—	4	4	no	—
915	C₂³	—	4	4	no	—
916	C₂³	—	4	4	no	—
917	C₂³	—	4	4	no	—
918	C₂³	—	4	4	no	—
919	C₂³	—	8	2	no	—
920	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
921	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
922	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
923	Q₈	—	2	4	no	—
924	Q₈	—	2	2	no	—
925	Q₈	—	2	1	no	—
926	Q₈	—	2	2	no	—
927	Q₈	—	2	2	no	—
928	Q₈	—	4	4	no	—
929	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
930	Q₈	C₂²×D₄×C₁₃	1	4	yes	—
931	D₄	—	2	4	no	—
932	D₄	—	2	2	no	—
933	D₄	—	2	2	no	—
934	D₄	—	2	4	no	—
935	D₄	—	2	2	no	—
936	D₄	—	2	1	no	—
937	D₄	—	2	2	no	—
938	D₄	—	2	4	no	—
939	D₄	—	4	2	no	—
940	D₄	—	4	4	no	—
941	D₄	—	4	4	no	—
942	D₄	—	4	8	no	—
943	D₄	—	4	8	no	—
944	D₄	—	4	4	no	—
945	D₄	—	4	4	no	—
946	D₄	—	4	4	no	—
947	D₄	—	4	4	no	—
948	D₄	—	4	4	no	—
949	D₄	—	4	2	no	—
950	D₄	—	4	4	no	—
951	D₄	—	8	2	no	—
952	D₄	—	8	2	no	—
953	D₄	—	8	1	no	—
954	D₄	—	8	4	no	—
955	D₄	—	8	4	no	—
956	D₄	—	8	2	no	—
957	D₄	C₂²×D₄×C₁₃	1	2	yes	—
958	C₂×C₄	—	2	4	no	—
959	C₂×C₄	—	2	4	no	—
960	C₂×C₄	—	2	2	no	—
961	C₂×C₄	—	2	1	no	—
962	C₂×C₄	—	2	4	no	—
963	C₂×C₄	—	2	4	no	—
964	C₂×C₄	—	2	4	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	4	1	no	—
975	C₂×C₄	—	4	4	no	—
976	C₂×C₄	—	4	8	no	—
977	C₂×C₄	—	4	8	no	—
978	C₂×C₄	—	4	4	no	—
979	C₂×C₄	—	4	4	no	—
980	C₂×C₄	—	4	2	no	—
981	C₂×C₄	—	4	4	no	—
982	C₂×C₄	—	4	2	no	—
983	C₂×C₄	—	8	1	no	—
984	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
985	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
986	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
987	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
988	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
989	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
990	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
991	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
992	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
993	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
994	C₈	—	2	4	no	—
995	C₈	—	2	2	no	—
996	C₈	C₂²×D₄×C₁₃	1	4	yes	—
997	C₂²	—	2	1	no	—
998	C₂²	—	2	1	no	—
999	C₂²	—	2	2	no	—
1000	C₂²	—	2	2	no	—
1001	C₂²	—	2	2	no	—
1002	C₂²	—	2	2	no	—
1003	C₂²	—	2	2	no	—
1004	C₂²	—	2	2	no	—
1005	C₂²	—	2	2	no	—
1006	C₂²	—	4	1	no	—
1007	C₂²	—	4	1	no	—
1008	C₂²	—	4	4	no	—
1009	C₂²	—	4	2	no	—
1010	C₂²	—	4	4	no	—
1011	C₂²	—	4	2	no	—
1012	C₂²	—	4	4	no	—
1013	C₂²	—	4	2	no	—
1014	C₂²	—	8	4	no	—
1015	C₂²	—	8	8	no	—
1016	C₂²	—	8	8	no	—
1017	C₂²	D₄²×C₁₃	1	2	yes	—
1018	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1019	C₄	—	2	1	no	—
1020	C₄	—	2	1	no	—
1021	C₄	—	2	1	no	—
1022	C₄	—	2	2	no	—
1023	C₄	—	2	2	no	—
1024	C₄	—	2	2	no	—
1025	C₄	—	2	4	no	—
1026	C₄	—	4	1	no	—
1027	C₄	—	4	2	no	—
1028	C₄	—	4	1	no	—
1029	C₄	—	4	2	no	—
1030	C₄	D₄²×C₁₃	1	2	yes	—
1031	C₄	C₁₃×#575	1	2	yes	complemented
1032	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1033	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1034	C₂	—	2	2	no	—
1035	C₂	—	4	2	no	—
1036	C₂	—	4	2	no	—
1037	C₂	—	4	2	no	—
1038	C₂	—	8	4	no	—
1039	C₂	—	8	2	no	—
1040	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1041	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1042	C₂	C₁₃×#3585	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×#550	C₂	semidirect
4. C₁₃×#3287	C₂	semidirect
5. C₁₃×#3284	C₂	semidirect
6. C₁₃×#3278	C₂	semidirect
7. C₁₃×#3274	C₂	semidirect
8. C₁₃×#3271	C₂	semidirect
9. C₁₃×#3268	C₂	semidirect
10. C₁₃×#3151	C₂	semidirect
11. C₁₃×#3055	C₂	semidirect
12. C₁₃×#3038	C₂	semidirect
13. C₁₃×#3037	C₂	semidirect
14. C₁₃×#3006	C₂	semidirect
15. C₁₃×#3005	C₂	semidirect
16. C₄×C₁₃×#137	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
25. C₂×C₁₃×AGL(1,ℤ/8)	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
35. C₁₃×#550	C₂²	semidirect
36. C₁₃×#550	C₂²	semidirect
37. C₁₃×#550	C₂²	semidirect
38. D₄×Q₈×C₁₃	C₂²	semidirect
39. C₁₃×#548	C₂²	semidirect
41. C₁₃×#547	C₂²	semidirect
43. C₁₃×#546	C₂²	semidirect
45. D₄²×C₁₃	C₂²	semidirect
49. C₂×C₁₃×#127	C₂²	semidirect
53. C₂×C₁₃×#121	C₂²	semidirect
55. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
59. C₁₃×#496	C₂²	semidirect
60. C₁₃×#493	C₂²	semidirect
61. C₁₃×#492	C₂²	semidirect
62. C₁₃×#469	C₂²	semidirect
63. C₁₃×#468	C₂²	semidirect
64. C₁₃×#466	C₂²	semidirect
65. C₁₃×#465	C₂²	semidirect
66. C₁₃×#464	C₂²	semidirect
67. C₁₃×#462	C₂²	semidirect
68. C₁₃×#460	C₂²	semidirect
69. C₁₃×#460	C₂²	semidirect
70. C₁₃×#460	C₂²	semidirect
71. C₁₃×#459	C₂²	semidirect
72. C₁₃×#459	C₂²	semidirect
73. C₁₃×#452	C₂²	semidirect
74. C₁₃×#452	C₂²	semidirect
75. C₁₃×#449	C₂²	semidirect
76. C₁₃×#449	C₂²	semidirect
77. C₁₃×#449	C₂²	semidirect
78. C₁₃×#449	C₂²	semidirect
79. C₁₃×#448	C₂²	semidirect
80. C₁₃×#447	C₂²	semidirect
81. C₁₃×#441	C₂²	semidirect
82. C₁₃×#440	C₂²	semidirect
83. C₄×C₁₃×Q₁₆	C₂²	semidirect
84. C₄×C₁₃×SD₁₆	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
126. C₁₃×#137	D₄	semidirect
243. #61070	C₁₃	direct (N × H)
268. C₂×Q₈×C₁₃	C₂×D₄	semidirect
331. C₁₃×Q₁₆	C₂×D₄	semidirect
336. C₁₃×SD₁₆	C₂×D₄	semidirect
343. C₁₃×M₁₆	C₂×D₄	semidirect
387. C₂×#575	C₂×C₁₃	semidirect
388. D₄×#41	C₂×C₁₃	semidirect
389. C₂×#550	C₂×C₁₃	semidirect
390. #3287	C₂×C₁₃	semidirect
391. #3284	C₂×C₁₃	semidirect
392. #3278	C₂×C₁₃	semidirect
393. #3274	C₂×C₁₃	semidirect
394. #3271	C₂×C₁₃	semidirect
395. #3268	C₂×C₁₃	semidirect
396. #3151	C₂×C₁₃	semidirect
397. #3055	C₂×C₁₃	semidirect
398. #3038	C₂×C₁₃	semidirect
399. #3037	C₂×C₁₃	semidirect
400. #3006	C₂×C₁₃	semidirect
401. #3005	C₂×C₁₃	semidirect
402. C₄×#137	C₂×C₁₃	semidirect
403. D₄×M₁₆	C₂×C₁₃	semidirect
494. C₂²×#41	C₂²×C₁₃	semidirect
497. C₂×#137	C₂²×C₁₃	semidirect
498. C₂×#137	C₂²×C₁₃	semidirect
500. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
501. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
502. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
503. C₂×#135	C₂²×C₁₃	semidirect
504. C₂×#135	C₂²×C₁₃	semidirect
505. C₂²×M₁₆	C₂²×C₁₃	semidirect
510. #550	C₂²×C₁₃	semidirect
511. #550	C₂²×C₁₃	semidirect
512. #550	C₂²×C₁₃	semidirect
513. D₄×Q₈	C₂²×C₁₃	semidirect
514. #548	C₂²×C₁₃	semidirect
516. #547	C₂²×C₁₃	semidirect
518. #546	C₂²×C₁₃	semidirect
520. D₄²	C₂²×C₁₃	semidirect
524. C₂×#127	C₂²×C₁₃	semidirect
528. C₂×#121	C₂²×C₁₃	semidirect
530. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
534. #496	C₂²×C₁₃	semidirect
535. #493	C₂²×C₁₃	semidirect
536. #492	C₂²×C₁₃	semidirect
537. #469	C₂²×C₁₃	semidirect
538. #468	C₂²×C₁₃	semidirect
539. #466	C₂²×C₁₃	semidirect
540. #465	C₂²×C₁₃	semidirect
541. #464	C₂²×C₁₃	semidirect
542. #462	C₂²×C₁₃	semidirect
543. #460	C₂²×C₁₃	semidirect
544. #460	C₂²×C₁₃	semidirect
545. #460	C₂²×C₁₃	semidirect
546. #459	C₂²×C₁₃	semidirect
547. #459	C₂²×C₁₃	semidirect
548. #452	C₂²×C₁₃	semidirect
549. #452	C₂²×C₁₃	semidirect
550. #449	C₂²×C₁₃	semidirect
551. #449	C₂²×C₁₃	semidirect
552. #449	C₂²×C₁₃	semidirect
553. #449	C₂²×C₁₃	semidirect
554. #448	C₂²×C₁₃	semidirect
555. #447	C₂²×C₁₃	semidirect
556. #441	C₂²×C₁₃	semidirect
557. #440	C₂²×C₁₃	semidirect
558. C₄×Q₁₆	C₂²×C₁₃	semidirect
559. C₄×SD₁₆	C₂²×C₁₃	semidirect
560. #436	C₂²×C₁₃	semidirect
561. #435	C₂²×C₁₃	semidirect
562. C₈×D₄	C₂²×C₁₃	semidirect
563. #428	C₂²×C₁₃	semidirect
564. #423	C₂²×C₁₃	semidirect
565. #419	C₂²×C₁₃	semidirect
566. #418	C₂²×C₁₃	semidirect
568. #417	C₂²×C₁₃	semidirect
569. #407	C₂²×C₁₃	semidirect
570. C₄×M₁₆	C₂²×C₁₃	semidirect
605. C₄×C₁₃	#575	semidirect
638. #137	D₄×C₁₃	semidirect
788. C₂×Q₈	C₂×D₄×C₁₃	semidirect
851. Q₁₆	C₂×D₄×C₁₃	semidirect
856. SD₁₆	C₂×D₄×C₁₃	semidirect
863. M₁₆	C₂×D₄×C₁₃	semidirect
907. C₁₃	#61070	direct (N × H)
1031. 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×#550	2
C₁₃×#3287	2
C₁₃×#3284	2
C₁₃×#3278	2
C₁₃×#3274	2
C₁₃×#3271	2
C₁₃×#3268	2
C₁₃×#3151	2
C₁₃×#3055	2
C₁₃×#3038	2
C₁₃×#3037	2
C₁₃×#3006	2
C₁₃×#3005	2
C₄×C₁₃×#137	2
D₄×C₁₃×M₁₆	2
#61070	13

Subgroups — C13×#61070 #15747409

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61070 #15747409