Subgroups — C₁₃×#61059 #15747398

Order 3328.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1066 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#577	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3487	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3275	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3274	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3268	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3265	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3155	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3058	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3054	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3043	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3041	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3008	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3005	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3003	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2949	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2930	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
21	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
22	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
23	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
24	C₁₃×#577	—	2	8	no	—
25	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
27	C₂×C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
28	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
30	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
31	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
34	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
36	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
37	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
39	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
40	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#550	—	2	2	no	—
44	C₁₃×#550	C₂²	1	4	yes	complemented
45	C₁₃×#548	—	2	2	no	—
46	C₁₃×#548	C₂²	1	4	yes	complemented
47	C₁₃×#546	—	2	2	no	—
48	C₁₃×#546	C₂²	1	4	yes	complemented
49	D₄²×C₁₃	—	2	2	no	—
50	D₄²×C₁₃	C₂²	1	4	yes	complemented
51	C₁₃×#535	—	2	2	no	—
52	C₁₃×#535	C₂²	1	1	yes	characteristic
53	C₁₃×#535	C₂²	1	1	yes	characteristic
54	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#534	—	2	2	no	—
57	C₁₃×#525	—	2	2	no	—
58	C₁₃×#525	C₂²	1	1	yes	characteristic
59	C₁₃×#525	C₂²	1	1	yes	characteristic
60	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₁₃×#120	—	2	2	no	—
62	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#518	C₂²	1	1	yes	characteristic
64	C₁₃×#496	C₂²	1	2	yes	complemented
65	C₁₃×#496	C₂²	1	2	yes	complemented
66	C₁₃×#495	C₂²	1	2	yes	complemented
67	C₁₃×#493	C₂²	1	2	yes	complemented
68	C₁₃×#470	C₂²	1	2	yes	complemented
69	C₁₃×#469	C₂²	1	4	yes	complemented
70	C₁₃×#469	C₂²	1	2	yes	complemented
71	C₁₃×#468	C₂²	1	2	yes	complemented
72	C₁₃×#468	C₂²	1	2	yes	complemented
73	C₁₃×#466	C₂²	1	4	yes	complemented
74	C₁₃×#464	C₂²	1	4	yes	complemented
75	C₁₃×#463	C₂²	1	4	yes	complemented
76	C₁₃×#460	C₂²	1	4	yes	complemented
77	C₁₃×#459	C₂²	1	4	yes	complemented
78	C₁₃×#452	C₂²	1	4	yes	complemented
79	C₁₃×#450	C₂²	1	4	yes	complemented
80	C₁₃×#449	C₂²	1	4	yes	complemented
81	C₁₃×#449	C₂²	1	4	yes	complemented
82	C₁₃×#449	C₂²	1	4	yes	complemented
83	C₁₃×#448	C₂²	1	4	yes	complemented
84	C₁₃×#447	C₂²	1	4	yes	complemented
85	C₁₃×#447	C₂²	1	4	yes	complemented
86	C₁₃×#440	C₂²	1	4	yes	complemented
87	C₄×C₁₃×SD₁₆	C₂²	1	4	yes	complemented
88	C₁₃×#436	C₂²	1	4	yes	complemented
89	C₁₃×#435	C₂²	1	4	yes	complemented
90	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#418	C₂²	1	1	yes	characteristic
94	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
101	C₂⁵×C₁₃	—	2	1	no	—
102	C₁₃×2₋¹⁺⁴	—	2	4	no	—
103	C₁₃×2₋¹⁺⁴	—	4	2	no	—
104	C₁₃×H(5,𝔽₂)	—	2	4	no	—
105	C₁₃×H(5,𝔽₂)	—	4	2	no	—
106	C₂×C₁₃×#41	—	2	1	no	—
107	C₂×C₁₃×#41	—	2	2	no	—
108	C₂×C₁₃×#41	—	2	1	no	—
109	C₂×C₁₃×#41	—	2	2	no	—
110	C₂×C₁₃×#41	—	2	4	no	—
111	C₂×C₁₃×#41	—	4	2	no	—
112	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
113	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
114	C₂×C₁₃×#41	C₂³	1	2	yes	—
115	C₂×C₁₃×#41	C₂³	1	4	yes	—
116	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
117	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
118	C₂²×Q₈×C₁₃	—	2	1	no	—
119	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
120	C₂²×Q₈×C₁₃	C₂³	1	2	yes	complemented
121	C₂²×D₄×C₁₃	—	2	4	no	—
122	C₂²×D₄×C₁₃	—	2	1	no	—
123	C₂²×D₄×C₁₃	—	2	2	no	—
124	C₂²×D₄×C₁₃	—	2	1	no	—
125	C₂²×D₄×C₁₃	—	2	4	no	—
126	C₂²×D₄×C₁₃	—	2	1	no	—
127	C₂²×D₄×C₁₃	—	2	2	no	—
128	C₂²×D₄×C₁₃	—	4	2	no	—
129	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
132	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
133	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₃	—	2	1	no	—
135	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
136	C₁₃×#137	—	2	4	no	—
137	C₁₃×#137	—	2	8	no	—
138	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
139	C₁₃×AGL(1,ℤ/8)	—	2	16	no	—
140	C₁₃×AGL(1,ℤ/8)	—	2	16	no	—
141	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
142	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
143	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
144	C₁₃×#135	—	2	8	no	—
145	C₁₃×#135	—	2	4	no	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	complemented
147	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
148	C₂×C₁₃×SD₁₆	—	2	4	no	—
149	C₂×C₁₃×SD₁₆	—	2	8	no	—
150	C₂×C₁₃×SD₁₆	D₄	1	8	yes	complemented
151	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
157	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
158	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
159	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
160	C₂×C₁₃×D₈	—	2	4	no	—
161	C₂×C₁₃×D₈	—	2	4	no	—
162	C₂×C₁₃×D₈	C₂³	1	2	yes	—
163	C₂×C₁₃×D₈	C₂³	1	4	yes	—
164	C₂×C₁₃×D₈	C₂³	1	2	yes	—
165	C₂×C₁₃×D₈	C₂³	1	2	yes	—
166	C₂×C₁₃×D₈	C₂³	1	2	yes	—
167	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic, complemented
168	C₂×C₁₃×D₈	C₂³	1	2	yes	complemented
169	C₁₃×#131	—	2	4	no	—
170	C₂×C₁₃×M₁₆	—	2	4	no	—
171	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
172	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
173	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
174	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
175	C₂×C₁₃×M₁₆	C₂³	1	2	yes	complemented
176	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
177	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
178	C₂²×C₈×C₁₃	C₂³	1	2	yes	complemented
179	C₁₃×#127	—	2	4	no	—
180	C₁₃×#127	—	2	1	no	—
181	C₁₃×#127	—	2	1	no	—
182	C₁₃×#127	C₂³	1	2	yes	—
183	C₁₃×#127	C₂³	1	2	yes	complemented
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	—	2	4	no	—
187	C₁₃×#124	C₂³	1	2	yes	—
188	C₁₃×#124	C₂³	1	2	yes	complemented
189	C₁₃×#123	—	2	1	no	—
190	C₁₃×#123	—	2	1	no	—
191	C₁₃×#123	—	2	4	no	—
192	C₁₃×#123	D₄	1	2	yes	—
193	C₁₃×C₂²⋊Q₈	—	2	4	no	—
194	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
195	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
197	C₁₃×#121	—	2	4	no	—
198	C₁₃×#121	—	2	4	no	—
199	C₁₃×#121	—	2	2	no	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	—	2	4	no	—
202	C₁₃×#121	—	2	4	no	—
203	C₁₃×#121	—	2	4	no	—
204	C₁₃×#121	D₄	1	2	yes	—
205	C₁₃×#121	C₂³	1	2	yes	—
206	C₁₃×#121	C₂³	1	4	yes	—
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₁₃×#121	C₂³	1	4	yes	complemented
209	C₁₃×#120	—	2	1	no	—
210	C₁₃×#120	—	2	1	no	—
211	C₁₃×#120	—	2	2	no	—
212	C₁₃×#120	—	2	4	no	—
213	C₁₃×#120	—	2	2	no	—
214	C₁₃×#120	—	2	2	no	—
215	C₁₃×#120	—	2	4	no	—
216	C₁₃×#120	—	2	2	no	—
217	C₁₃×#120	—	2	4	no	—
218	C₁₃×#120	D₄	1	2	yes	—
219	C₄×Q₈×C₁₃	—	2	2	no	—
220	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
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	4	no	—
225	C₄×D₄×C₁₃	—	2	4	no	—
226	C₄×D₄×C₁₃	C₂³	1	4	yes	—
227	C₄×D₄×C₁₃	C₂³	1	4	yes	—
228	C₁₃×#117	—	2	2	no	—
229	C₁₃×#117	C₂³	1	1	yes	characteristic
230	C₁₃×#117	C₂³	1	1	yes	characteristic
231	C₁₃×#117	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
233	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
234	C₁₃×#107	C₂³	1	2	yes	complemented
235	C₁₃×#106	C₂³	1	2	yes	complemented
236	C₁₃×C₄⋊C₈	C₂³	1	4	yes	complemented
237	C₁₃×#103	C₂³	1	2	yes	complemented
238	C₁₃×#103	C₂³	1	2	yes	complemented
239	C₁₃×#103	C₂³	1	4	yes	complemented
240	C₁₃×#102	C₂³	1	4	yes	—
241	C₁₃×#102	C₂³	1	4	yes	—
242	C₁₃×#102	C₂³	1	2	yes	complemented
243	C₁₃×#102	C₂³	1	2	yes	complemented
244	C₁₃×#102	C₂³	1	4	yes	complemented
245	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
246	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	complemented
247	C₁₃×#97	C₂³	1	2	yes	complemented
248	C₄×C₈×C₁₃	C₂³	1	2	yes	complemented
249	#61059	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
250	C₂⁴×C₁₃	—	2	1	no	—
251	C₂⁴×C₁₃	—	2	4	no	—
252	C₂⁴×C₁₃	—	2	1	no	—
253	C₂⁴×C₁₃	—	2	1	no	—
254	C₂⁴×C₁₃	—	2	2	no	—
255	C₂⁴×C₁₃	—	4	4	no	—
256	C₂⁴×C₁₃	—	8	4	no	—
257	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
258	C₁₃×#41	—	2	2	no	—
259	C₁₃×#41	—	2	2	no	—
260	C₁₃×#41	—	2	4	no	—
261	C₁₃×#41	—	2	8	no	—
262	C₁₃×#41	—	2	4	no	—
263	C₁₃×#41	—	2	2	no	—
264	C₁₃×#41	—	2	2	no	—
265	C₁₃×#41	—	2	2	no	—
266	C₁₃×#41	—	2	2	no	—
267	C₁₃×#41	—	4	4	no	—
268	C₁₃×#41	—	4	2	no	—
269	C₁₃×#41	—	4	2	no	—
270	C₁₃×#41	—	4	8	no	—
271	C₁₃×#41	—	4	8	no	—
272	C₁₃×#41	—	4	4	no	—
273	C₁₃×#41	—	4	4	no	—
274	C₂×Q₈×C₁₃	—	2	1	no	—
275	C₂×Q₈×C₁₃	—	2	2	no	—
276	C₂×Q₈×C₁₃	—	2	2	no	—
277	C₂×Q₈×C₁₃	—	2	4	no	—
278	C₂×Q₈×C₁₃	—	4	2	no	—
279	C₂×Q₈×C₁₃	—	4	4	no	—
280	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
281	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	complemented
282	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
283	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
284	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
285	C₂×D₄×C₁₃	—	2	4	no	—
286	C₂×D₄×C₁₃	—	2	8	no	—
287	C₂×D₄×C₁₃	—	2	2	no	—
288	C₂×D₄×C₁₃	—	2	1	no	—
289	C₂×D₄×C₁₃	—	2	1	no	—
290	C₂×D₄×C₁₃	—	2	2	no	—
291	C₂×D₄×C₁₃	—	2	4	no	—
292	C₂×D₄×C₁₃	—	2	2	no	—
293	C₂×D₄×C₁₃	—	2	2	no	—
294	C₂×D₄×C₁₃	—	2	4	no	—
295	C₂×D₄×C₁₃	—	2	4	no	—
296	C₂×D₄×C₁₃	—	2	1	no	—
297	C₂×D₄×C₁₃	—	2	2	no	—
298	C₂×D₄×C₁₃	—	2	2	no	—
299	C₂×D₄×C₁₃	—	2	2	no	—
300	C₂×D₄×C₁₃	—	2	4	no	—
301	C₂×D₄×C₁₃	—	2	1	no	—
302	C₂×D₄×C₁₃	—	2	1	no	—
303	C₂×D₄×C₁₃	—	2	4	no	—
304	C₂×D₄×C₁₃	—	2	4	no	—
305	C₂×D₄×C₁₃	—	2	2	no	—
306	C₂×D₄×C₁₃	—	2	2	no	—
307	C₂×D₄×C₁₃	—	2	2	no	—
308	C₂×D₄×C₁₃	—	4	4	no	—
309	C₂×D₄×C₁₃	—	4	2	no	—
310	C₂×D₄×C₁₃	—	4	8	no	—
311	C₂×D₄×C₁₃	—	4	4	no	—
312	C₂×D₄×C₁₃	—	4	4	no	—
313	C₂×D₄×C₁₃	—	4	4	no	—
314	C₂×D₄×C₁₃	—	4	8	no	—
315	C₂×D₄×C₁₃	—	8	8	no	—
316	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
317	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
318	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
319	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
320	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
321	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
322	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
323	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
324	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₁₃	—	2	1	no	—
326	C₂²×C₄×C₁₃	—	2	2	no	—
327	C₂²×C₄×C₁₃	—	2	2	no	—
328	C₂²×C₄×C₁₃	—	2	2	no	—
329	C₂²×C₄×C₁₃	—	2	2	no	—
330	C₂²×C₄×C₁₃	—	2	1	no	—
331	C₂²×C₄×C₁₃	—	2	1	no	—
332	C₂²×C₄×C₁₃	—	2	2	no	—
333	C₂²×C₄×C₁₃	—	2	4	no	—
334	C₂²×C₄×C₁₃	—	2	4	no	—
335	C₂²×C₄×C₁₃	—	4	4	no	—
336	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
337	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
338	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
341	C₁₃×Q₁₆	—	2	4	no	—
342	C₁₃×Q₁₆	—	2	2	no	—
343	C₁₃×SD₁₆	—	2	8	no	—
344	C₁₃×SD₁₆	—	2	4	no	—
345	C₁₃×SD₁₆	—	2	4	no	—
346	C₁₃×SD₁₆	—	2	2	no	—
347	C₁₃×SD₁₆	—	2	2	no	—
348	C₁₃×SD₁₆	—	4	2	no	—
349	C₁₃×SD₁₆	—	4	2	no	—
350	C₁₃×SD₁₆	C₂×D₄	1	8	yes	complemented
351	C₁₃×SD₁₆	C₂×D₄	1	8	yes	complemented
352	C₁₃×D₈	—	2	8	no	—
353	C₁₃×D₈	—	2	4	no	—
354	C₁₃×D₈	—	2	4	no	—
355	C₁₃×D₈	—	2	4	no	—
356	C₁₃×D₈	—	2	2	no	—
357	C₁₃×D₈	—	4	2	no	—
358	C₁₃×D₈	—	4	2	no	—
359	C₁₃×M₁₆	—	2	2	no	—
360	C₁₃×M₁₆	—	2	2	no	—
361	C₁₃×M₁₆	—	2	4	no	—
362	C₁₃×M₁₆	—	2	4	no	—
363	C₁₃×M₁₆	—	2	4	no	—
364	C₂×C₈×C₁₃	—	2	2	no	—
365	C₂×C₈×C₁₃	—	2	4	no	—
366	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	complemented
367	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
368	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
369	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
370	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₁₃×C₄⋊C₄	—	2	4	no	—
373	C₁₃×C₄⋊C₄	—	2	2	no	—
374	C₁₃×C₄⋊C₄	—	2	2	no	—
375	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
376	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
377	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
378	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
379	C₁₃×C₂²⋊C₄	—	2	1	no	—
380	C₁₃×C₂²⋊C₄	—	2	2	no	—
381	C₁₃×C₂²⋊C₄	—	2	1	no	—
382	C₁₃×C₂²⋊C₄	—	2	2	no	—
383	C₁₃×C₂²⋊C₄	—	2	4	no	—
384	C₁₃×C₂²⋊C₄	—	2	4	no	—
385	C₁₃×C₂²⋊C₄	—	2	4	no	—
386	C₁₃×C₂²⋊C₄	—	2	2	no	—
387	C₁₃×C₂²⋊C₄	—	2	2	no	—
388	C₁₃×C₂²⋊C₄	—	2	4	no	—
389	C₁₃×C₂²⋊C₄	—	2	4	no	—
390	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
391	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
392	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
393	C₄²×C₁₃	—	2	4	no	—
394	C₄²×C₁₃	—	2	1	no	—
395	C₄²×C₁₃	—	2	1	no	—
396	C₄²×C₁₃	C₂⁴	1	2	yes	—
397	C₂×#577	C₂×C₁₃	1	1	yes	characteristic, complemented
398	C₂²×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
399	#3487	C₂×C₁₃	1	1	yes	characteristic, complemented
400	#3484	C₂×C₁₃	1	1	yes	characteristic, complemented
401	#3275	C₂×C₁₃	1	4	yes	complemented
402	#3274	C₂×C₁₃	1	4	yes	complemented
403	#3268	C₂×C₁₃	1	4	yes	complemented
404	#3265	C₂×C₁₃	1	4	yes	complemented
405	#3155	C₂×C₁₃	1	1	yes	characteristic, complemented
406	#3058	C₂×C₁₃	1	1	yes	characteristic, complemented
407	#3054	C₂×C₁₃	1	1	yes	characteristic, complemented
408	#3043	C₂×C₁₃	1	1	yes	characteristic, complemented
409	#3041	C₂×C₁₃	1	1	yes	characteristic, complemented
410	#3010	C₂×C₁₃	1	1	yes	characteristic, complemented
411	#3008	C₂×C₁₃	1	1	yes	characteristic, complemented
412	#3005	C₂×C₁₃	1	1	yes	characteristic, complemented
413	#3003	C₂×C₁₃	1	1	yes	characteristic, complemented
414	#2949	C₂×C₁₃	1	1	yes	characteristic, complemented
415	#2930	C₂×C₁₃	1	1	yes	characteristic, complemented
416	C₂³×C₁₃	—	2	2	no	—
417	C₂³×C₁₃	—	2	2	no	—
418	C₂³×C₁₃	—	2	4	no	—
419	C₂³×C₁₃	—	2	2	no	—
420	C₂³×C₁₃	—	2	2	no	—
421	C₂³×C₁₃	—	2	1	no	—
422	C₂³×C₁₃	—	2	1	no	—
423	C₂³×C₁₃	—	4	2	no	—
424	C₂³×C₁₃	—	4	8	no	—
425	C₂³×C₁₃	—	4	4	no	—
426	C₂³×C₁₃	—	4	8	no	—
427	C₂³×C₁₃	—	4	2	no	—
428	C₂³×C₁₃	—	4	2	no	—
429	C₂³×C₁₃	—	8	2	no	—
430	C₂³×C₁₃	—	8	2	no	—
431	C₂³×C₁₃	—	8	2	no	—
432	C₂³×C₁₃	—	8	4	no	—
433	C₂³×C₁₃	—	8	4	no	—
434	C₂³×C₁₃	—	8	16	no	—
435	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
436	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
437	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
438	Q₈×C₁₃	—	2	4	no	—
439	Q₈×C₁₃	—	2	2	no	—
440	Q₈×C₁₃	—	2	2	no	—
441	Q₈×C₁₃	—	2	1	no	—
442	Q₈×C₁₃	—	2	1	no	—
443	Q₈×C₁₃	—	2	1	no	—
444	Q₈×C₁₃	—	2	1	no	—
445	Q₈×C₁₃	—	4	4	no	—
446	Q₈×C₁₃	C₂²×D₄	1	4	yes	—
447	D₄×C₁₃	—	2	4	no	—
448	D₄×C₁₃	—	2	4	no	—
449	D₄×C₁₃	—	2	2	no	—
450	D₄×C₁₃	—	2	2	no	—
451	D₄×C₁₃	—	2	1	no	—
452	D₄×C₁₃	—	2	2	no	—
453	D₄×C₁₃	—	2	1	no	—
454	D₄×C₁₃	—	2	2	no	—
455	D₄×C₁₃	—	2	1	no	—
456	D₄×C₁₃	—	2	1	no	—
457	D₄×C₁₃	—	2	2	no	—
458	D₄×C₁₃	—	2	2	no	—
459	D₄×C₁₃	—	4	4	no	—
460	D₄×C₁₃	—	4	8	no	—
461	D₄×C₁₃	—	4	4	no	—
462	D₄×C₁₃	—	4	8	no	—
463	D₄×C₁₃	—	4	4	no	—
464	D₄×C₁₃	—	4	4	no	—
465	D₄×C₁₃	—	4	4	no	—
466	D₄×C₁₃	—	4	2	no	—
467	D₄×C₁₃	—	4	2	no	—
468	D₄×C₁₃	—	4	2	no	—
469	D₄×C₁₃	—	4	2	no	—
470	D₄×C₁₃	—	8	4	no	—
471	D₄×C₁₃	—	8	4	no	—
472	D₄×C₁₃	—	8	4	no	—
473	D₄×C₁₃	—	8	2	no	—
474	D₄×C₁₃	—	8	4	no	—
475	D₄×C₁₃	C₂²×D₄	1	4	yes	—
476	C₂×C₄×C₁₃	—	2	2	no	—
477	C₂×C₄×C₁₃	—	2	4	no	—
478	C₂×C₄×C₁₃	—	2	2	no	—
479	C₂×C₄×C₁₃	—	2	4	no	—
480	C₂×C₄×C₁₃	—	2	2	no	—
481	C₂×C₄×C₁₃	—	2	2	no	—
482	C₂×C₄×C₁₃	—	2	2	no	—
483	C₂×C₄×C₁₃	—	2	2	no	—
484	C₂×C₄×C₁₃	—	2	2	no	—
485	C₂×C₄×C₁₃	—	2	2	no	—
486	C₂×C₄×C₁₃	—	2	1	no	—
487	C₂×C₄×C₁₃	—	2	1	no	—
488	C₂×C₄×C₁₃	—	4	8	no	—
489	C₂×C₄×C₁₃	—	4	4	no	—
490	C₂×C₄×C₁₃	—	4	4	no	—
491	C₂×C₄×C₁₃	—	4	4	no	—
492	C₂×C₄×C₁₃	—	4	2	no	—
493	C₂×C₄×C₁₃	—	4	2	no	—
494	C₂×C₄×C₁₃	—	8	4	no	—
495	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
496	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
497	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
498	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
499	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
500	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
501	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
502	C₈×C₁₃	—	2	2	no	—
503	C₈×C₁₃	—	2	2	no	—
504	C₈×C₁₃	—	2	2	no	—
505	C₈×C₁₃	C₂²×D₄	1	2	yes	—
506	C₈×C₁₃	C₂²×D₄	1	2	yes	—
507	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
508	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
509	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
510	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
511	#577	—	2	8	no	—
512	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
513	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
514	C₂×AGL(1,ℤ/8)	—	2	8	no	—
515	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
516	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	4	yes	complemented
517	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	4	yes	complemented
518	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
519	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
520	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
521	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
522	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
523	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
524	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
525	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
526	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
527	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
528	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
529	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
530	#550	—	2	2	no	—
531	#550	C₂²×C₁₃	1	4	yes	complemented
532	#548	—	2	2	no	—
533	#548	C₂²×C₁₃	1	4	yes	complemented
534	#546	—	2	2	no	—
535	#546	C₂²×C₁₃	1	4	yes	complemented
536	D₄²	—	2	2	no	—
537	D₄²	C₂²×C₁₃	1	4	yes	complemented
538	#535	—	2	2	no	—
539	#535	C₂²×C₁₃	1	1	yes	characteristic
540	#535	C₂²×C₁₃	1	1	yes	characteristic
541	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
542	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
543	#534	—	2	2	no	—
544	#525	—	2	2	no	—
545	#525	C₂²×C₁₃	1	1	yes	characteristic
546	#525	C₂²×C₁₃	1	1	yes	characteristic
547	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
548	C₂×#120	—	2	2	no	—
549	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
550	#518	C₂²×C₁₃	1	1	yes	characteristic
551	#496	C₂²×C₁₃	1	2	yes	complemented
552	#496	C₂²×C₁₃	1	2	yes	complemented
553	#495	C₂²×C₁₃	1	2	yes	complemented
554	#493	C₂²×C₁₃	1	2	yes	complemented
555	#470	C₂²×C₁₃	1	2	yes	complemented
556	#469	C₂²×C₁₃	1	4	yes	complemented
557	#469	C₂²×C₁₃	1	2	yes	complemented
558	#468	C₂²×C₁₃	1	2	yes	complemented
559	#468	C₂²×C₁₃	1	2	yes	complemented
560	#466	C₂²×C₁₃	1	4	yes	complemented
561	#464	C₂²×C₁₃	1	4	yes	complemented
562	#463	C₂²×C₁₃	1	4	yes	complemented
563	#460	C₂²×C₁₃	1	4	yes	complemented
564	#459	C₂²×C₁₃	1	4	yes	complemented
565	#452	C₂²×C₁₃	1	4	yes	complemented
566	#450	C₂²×C₁₃	1	4	yes	complemented
567	#449	C₂²×C₁₃	1	4	yes	complemented
568	#449	C₂²×C₁₃	1	4	yes	complemented
569	#449	C₂²×C₁₃	1	4	yes	complemented
570	#448	C₂²×C₁₃	1	4	yes	complemented
571	#447	C₂²×C₁₃	1	4	yes	complemented
572	#447	C₂²×C₁₃	1	4	yes	complemented
573	#440	C₂²×C₁₃	1	4	yes	complemented
574	C₄×SD₁₆	C₂²×C₁₃	1	4	yes	complemented
575	#436	C₂²×C₁₃	1	4	yes	complemented
576	#435	C₂²×C₁₃	1	4	yes	complemented
577	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
578	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
579	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
580	#418	C₂²×C₁₃	1	1	yes	characteristic
581	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
582	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
583	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
584	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
585	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
586	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
587	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
588	C₂²×C₁₃	—	2	2	no	—
589	C₂²×C₁₃	—	2	2	no	—
590	C₂²×C₁₃	—	2	4	no	—
591	C₂²×C₁₃	—	2	2	no	—
592	C₂²×C₁₃	—	2	2	no	—
593	C₂²×C₁₃	—	2	2	no	—
594	C₂²×C₁₃	—	2	4	no	—
595	C₂²×C₁₃	—	4	4	no	—
596	C₂²×C₁₃	—	4	4	no	—
597	C₂²×C₁₃	—	4	2	no	—
598	C₂²×C₁₃	—	4	2	no	—
599	C₂²×C₁₃	—	4	4	no	—
600	C₂²×C₁₃	—	4	4	no	—
601	C₂²×C₁₃	—	4	1	no	—
602	C₂²×C₁₃	—	4	2	no	—
603	C₂²×C₁₃	—	4	1	no	—
604	C₂²×C₁₃	—	4	2	no	—
605	C₂²×C₁₃	—	8	4	no	—
606	C₂²×C₁₃	—	8	4	no	—
607	C₂²×C₁₃	—	8	4	no	—
608	C₂²×C₁₃	—	8	16	no	—
609	C₂²×C₁₃	—	16	4	no	—
610	C₂²×C₁₃	D₄²	1	2	yes	—
611	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
612	C₄×C₁₃	—	2	4	no	—
613	C₄×C₁₃	—	2	2	no	—
614	C₄×C₁₃	—	2	4	no	—
615	C₄×C₁₃	—	2	2	no	—
616	C₄×C₁₃	—	4	2	no	—
617	C₄×C₁₃	—	4	2	no	—
618	C₄×C₁₃	—	4	1	no	—
619	C₄×C₁₃	—	4	1	no	—
620	C₄×C₁₃	D₄²	1	2	yes	—
621	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
622	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
623	C₂⁵	—	2	1	no	—
624	2₋¹⁺⁴	—	2	4	no	—
625	2₋¹⁺⁴	—	4	2	no	—
626	H(5,𝔽₂)	—	2	4	no	—
627	H(5,𝔽₂)	—	4	2	no	—
628	C₂×#41	—	2	1	no	—
629	C₂×#41	—	2	2	no	—
630	C₂×#41	—	2	1	no	—
631	C₂×#41	—	2	2	no	—
632	C₂×#41	—	2	4	no	—
633	C₂×#41	—	4	2	no	—
634	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
635	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
636	C₂×#41	C₂³×C₁₃	1	2	yes	—
637	C₂×#41	C₂³×C₁₃	1	4	yes	—
638	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
639	C₂×#41	C₂³×C₁₃	1	2	yes	complemented
640	C₂²×Q₈	—	2	1	no	—
641	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
642	C₂²×Q₈	C₂³×C₁₃	1	2	yes	complemented
643	C₂²×D₄	—	2	4	no	—
644	C₂²×D₄	—	2	1	no	—
645	C₂²×D₄	—	2	2	no	—
646	C₂²×D₄	—	2	1	no	—
647	C₂²×D₄	—	2	4	no	—
648	C₂²×D₄	—	2	1	no	—
649	C₂²×D₄	—	2	2	no	—
650	C₂²×D₄	—	4	2	no	—
651	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
652	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
653	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
654	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
655	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
656	C₂³×C₄	—	2	1	no	—
657	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
658	#137	—	2	4	no	—
659	#137	—	2	8	no	—
660	AGL(1,ℤ/8)	—	2	4	no	—
661	AGL(1,ℤ/8)	—	2	16	no	—
662	AGL(1,ℤ/8)	—	2	16	no	—
663	AGL(1,ℤ/8)	—	2	8	no	—
664	AGL(1,ℤ/8)	—	4	2	no	—
665	AGL(1,ℤ/8)	—	4	2	no	—
666	#135	—	2	8	no	—
667	#135	—	2	4	no	—
668	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	complemented
669	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
670	C₂×SD₁₆	—	2	4	no	—
671	C₂×SD₁₆	—	2	8	no	—
672	C₂×SD₁₆	D₄×C₁₃	1	8	yes	complemented
673	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
674	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
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	1	yes	characteristic, complemented
679	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
680	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
681	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
682	C₂×D₈	—	2	4	no	—
683	C₂×D₈	—	2	4	no	—
684	C₂×D₈	C₂³×C₁₃	1	4	yes	—
685	C₂×D₈	C₂³×C₁₃	1	2	yes	—
686	C₂×D₈	C₂³×C₁₃	1	2	yes	—
687	C₂×D₈	C₂³×C₁₃	1	2	yes	—
688	C₂×D₈	C₂³×C₁₃	1	2	yes	—
689	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
690	C₂×D₈	C₂³×C₁₃	1	2	yes	complemented
691	#131	—	2	4	no	—
692	C₂×M₁₆	—	2	4	no	—
693	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
694	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
695	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
696	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
697	C₂×M₁₆	C₂³×C₁₃	1	2	yes	complemented
698	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
699	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
700	C₂²×C₈	C₂³×C₁₃	1	2	yes	complemented
701	#127	—	2	4	no	—
702	#127	—	2	1	no	—
703	#127	—	2	1	no	—
704	#127	C₂³×C₁₃	1	2	yes	—
705	#127	C₂³×C₁₃	1	2	yes	complemented
706	#124	—	2	1	no	—
707	#124	—	2	1	no	—
708	#124	—	2	4	no	—
709	#124	C₂³×C₁₃	1	2	yes	—
710	#124	C₂³×C₁₃	1	2	yes	complemented
711	#123	—	2	1	no	—
712	#123	—	2	1	no	—
713	#123	—	2	4	no	—
714	#123	D₄×C₁₃	1	2	yes	—
715	C₂²⋊Q₈	—	2	4	no	—
716	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
717	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
718	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
719	#121	—	2	4	no	—
720	#121	—	2	4	no	—
721	#121	—	2	2	no	—
722	#121	—	2	2	no	—
723	#121	—	2	4	no	—
724	#121	—	2	4	no	—
725	#121	—	2	4	no	—
726	#121	D₄×C₁₃	1	2	yes	—
727	#121	C₂³×C₁₃	1	2	yes	—
728	#121	C₂³×C₁₃	1	2	yes	—
729	#121	C₂³×C₁₃	1	4	yes	—
730	#121	C₂³×C₁₃	1	4	yes	complemented
731	#120	—	2	1	no	—
732	#120	—	2	1	no	—
733	#120	—	2	2	no	—
734	#120	—	2	4	no	—
735	#120	—	2	2	no	—
736	#120	—	2	2	no	—
737	#120	—	2	4	no	—
738	#120	—	2	2	no	—
739	#120	—	2	4	no	—
740	#120	D₄×C₁₃	1	2	yes	—
741	C₄×Q₈	—	2	2	no	—
742	C₄×Q₈	C₂³×C₁₃	1	4	yes	complemented
743	C₄×D₄	—	2	2	no	—
744	C₄×D₄	—	2	2	no	—
745	C₄×D₄	—	2	2	no	—
746	C₄×D₄	—	2	4	no	—
747	C₄×D₄	—	2	4	no	—
748	C₄×D₄	C₂³×C₁₃	1	4	yes	—
749	C₄×D₄	C₂³×C₁₃	1	4	yes	—
750	#117	—	2	2	no	—
751	#117	C₂³×C₁₃	1	1	yes	characteristic
752	#117	C₂³×C₁₃	1	1	yes	characteristic
753	#117	C₂³×C₁₃	1	1	yes	characteristic
754	C₂×C₂²⋊C₄	—	2	2	no	—
755	C₂×C₂²⋊C₄	—	2	4	no	—
756	#107	C₂³×C₁₃	1	2	yes	complemented
757	#106	C₂³×C₁₃	1	2	yes	complemented
758	C₄⋊C₈	C₂³×C₁₃	1	4	yes	complemented
759	#103	C₂³×C₁₃	1	2	yes	complemented
760	#103	C₂³×C₁₃	1	2	yes	complemented
761	#103	C₂³×C₁₃	1	4	yes	complemented
762	#102	C₂³×C₁₃	1	4	yes	—
763	#102	C₂³×C₁₃	1	4	yes	—
764	#102	C₂³×C₁₃	1	2	yes	complemented
765	#102	C₂³×C₁₃	1	2	yes	complemented
766	#102	C₂³×C₁₃	1	4	yes	complemented
767	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
768	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	complemented
769	#97	C₂³×C₁₃	1	2	yes	complemented
770	C₄×C₈	C₂³×C₁₃	1	2	yes	complemented
771	C₂×C₁₃	—	2	2	no	—
772	C₂×C₁₃	—	4	2	no	—
773	C₂×C₁₃	—	4	2	no	—
774	C₂×C₁₃	—	4	4	no	—
775	C₂×C₁₃	—	8	1	no	—
776	C₂×C₁₃	—	8	2	no	—
777	C₂×C₁₃	—	8	2	no	—
778	C₂×C₁₃	—	8	1	no	—
779	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
780	C₂×C₁₃	#3585	1	2	yes	—
781	C₂⁴	—	2	1	no	—
782	C₂⁴	—	2	4	no	—
783	C₂⁴	—	2	1	no	—
784	C₂⁴	—	2	1	no	—
785	C₂⁴	—	2	2	no	—
786	C₂⁴	—	4	4	no	—
787	C₂⁴	—	8	4	no	—
788	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
789	#41	—	2	2	no	—
790	#41	—	2	2	no	—
791	#41	—	2	4	no	—
792	#41	—	2	8	no	—
793	#41	—	2	4	no	—
794	#41	—	2	2	no	—
795	#41	—	2	2	no	—
796	#41	—	2	2	no	—
797	#41	—	2	2	no	—
798	#41	—	4	4	no	—
799	#41	—	4	2	no	—
800	#41	—	4	2	no	—
801	#41	—	4	8	no	—
802	#41	—	4	8	no	—
803	#41	—	4	4	no	—
804	#41	—	4	4	no	—
805	C₂×Q₈	—	2	1	no	—
806	C₂×Q₈	—	2	2	no	—
807	C₂×Q₈	—	2	2	no	—
808	C₂×Q₈	—	2	4	no	—
809	C₂×Q₈	—	4	2	no	—
810	C₂×Q₈	—	4	4	no	—
811	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
812	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	complemented
813	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
814	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
815	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
816	C₂×D₄	—	2	4	no	—
817	C₂×D₄	—	2	8	no	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	1	no	—
820	C₂×D₄	—	2	1	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	4	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	2	4	no	—
826	C₂×D₄	—	2	4	no	—
827	C₂×D₄	—	2	1	no	—
828	C₂×D₄	—	2	2	no	—
829	C₂×D₄	—	2	2	no	—
830	C₂×D₄	—	2	2	no	—
831	C₂×D₄	—	2	4	no	—
832	C₂×D₄	—	2	1	no	—
833	C₂×D₄	—	2	1	no	—
834	C₂×D₄	—	2	4	no	—
835	C₂×D₄	—	2	4	no	—
836	C₂×D₄	—	2	2	no	—
837	C₂×D₄	—	2	2	no	—
838	C₂×D₄	—	2	2	no	—
839	C₂×D₄	—	4	4	no	—
840	C₂×D₄	—	4	2	no	—
841	C₂×D₄	—	4	8	no	—
842	C₂×D₄	—	4	4	no	—
843	C₂×D₄	—	4	4	no	—
844	C₂×D₄	—	4	4	no	—
845	C₂×D₄	—	4	8	no	—
846	C₂×D₄	—	8	8	no	—
847	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
848	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
849	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
850	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
851	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
852	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
853	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
854	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
855	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
856	C₂²×C₄	—	2	1	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	2	2	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	1	no	—
862	C₂²×C₄	—	2	1	no	—
863	C₂²×C₄	—	2	2	no	—
864	C₂²×C₄	—	2	4	no	—
865	C₂²×C₄	—	2	4	no	—
866	C₂²×C₄	—	4	4	no	—
867	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
868	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
869	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
870	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
871	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
872	Q₁₆	—	2	4	no	—
873	Q₁₆	—	2	2	no	—
874	SD₁₆	—	2	8	no	—
875	SD₁₆	—	2	4	no	—
876	SD₁₆	—	2	4	no	—
877	SD₁₆	—	2	2	no	—
878	SD₁₆	—	2	2	no	—
879	SD₁₆	—	4	2	no	—
880	SD₁₆	—	4	2	no	—
881	SD₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
882	SD₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
883	D₈	—	2	8	no	—
884	D₈	—	2	4	no	—
885	D₈	—	2	4	no	—
886	D₈	—	2	4	no	—
887	D₈	—	2	2	no	—
888	D₈	—	4	2	no	—
889	D₈	—	4	2	no	—
890	M₁₆	—	2	2	no	—
891	M₁₆	—	2	2	no	—
892	M₁₆	—	2	4	no	—
893	M₁₆	—	2	4	no	—
894	M₁₆	—	2	4	no	—
895	C₂×C₈	—	2	2	no	—
896	C₂×C₈	—	2	4	no	—
897	C₂×C₈	C₂×D₄×C₁₃	1	4	yes	complemented
898	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
899	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
900	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
901	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
902	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
903	C₄⋊C₄	—	2	4	no	—
904	C₄⋊C₄	—	2	2	no	—
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
907	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
908	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
909	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
910	C₂²⋊C₄	—	2	1	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	2	1	no	—
913	C₂²⋊C₄	—	2	2	no	—
914	C₂²⋊C₄	—	2	4	no	—
915	C₂²⋊C₄	—	2	4	no	—
916	C₂²⋊C₄	—	2	4	no	—
917	C₂²⋊C₄	—	2	2	no	—
918	C₂²⋊C₄	—	2	2	no	—
919	C₂²⋊C₄	—	2	4	no	—
920	C₂²⋊C₄	—	2	4	no	—
921	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
922	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
923	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
924	C₄²	—	2	4	no	—
925	C₄²	—	2	1	no	—
926	C₄²	—	2	1	no	—
927	C₄²	C₂⁴×C₁₃	1	2	yes	—
928	C₁₃	#61059	1	1	yes	characteristic, direct product factor, Sylow
929	C₂³	—	2	2	no	—
930	C₂³	—	2	2	no	—
931	C₂³	—	2	4	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	1	no	—
935	C₂³	—	2	1	no	—
936	C₂³	—	4	2	no	—
937	C₂³	—	4	8	no	—
938	C₂³	—	4	4	no	—
939	C₂³	—	4	8	no	—
940	C₂³	—	4	2	no	—
941	C₂³	—	4	2	no	—
942	C₂³	—	8	2	no	—
943	C₂³	—	8	2	no	—
944	C₂³	—	8	4	no	—
945	C₂³	—	8	2	no	—
946	C₂³	—	8	4	no	—
947	C₂³	—	8	16	no	—
948	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
949	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
950	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
951	Q₈	—	2	4	no	—
952	Q₈	—	2	2	no	—
953	Q₈	—	2	2	no	—
954	Q₈	—	2	1	no	—
955	Q₈	—	2	1	no	—
956	Q₈	—	2	1	no	—
957	Q₈	—	2	1	no	—
958	Q₈	—	4	4	no	—
959	Q₈	C₂²×D₄×C₁₃	1	4	yes	—
960	D₄	—	2	4	no	—
961	D₄	—	2	4	no	—
962	D₄	—	2	2	no	—
963	D₄	—	2	2	no	—
964	D₄	—	2	1	no	—
965	D₄	—	2	2	no	—
966	D₄	—	2	1	no	—
967	D₄	—	2	2	no	—
968	D₄	—	2	1	no	—
969	D₄	—	2	1	no	—
970	D₄	—	2	2	no	—
971	D₄	—	2	2	no	—
972	D₄	—	4	4	no	—
973	D₄	—	4	8	no	—
974	D₄	—	4	4	no	—
975	D₄	—	4	8	no	—
976	D₄	—	4	4	no	—
977	D₄	—	4	4	no	—
978	D₄	—	4	4	no	—
979	D₄	—	4	2	no	—
980	D₄	—	4	2	no	—
981	D₄	—	4	2	no	—
982	D₄	—	4	2	no	—
983	D₄	—	8	4	no	—
984	D₄	—	8	4	no	—
985	D₄	—	8	4	no	—
986	D₄	—	8	4	no	—
987	D₄	—	8	2	no	—
988	D₄	C₂²×D₄×C₁₃	1	4	yes	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	4	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	4	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	4	8	no	—
1002	C₂×C₄	—	4	4	no	—
1003	C₂×C₄	—	4	4	no	—
1004	C₂×C₄	—	4	4	no	—
1005	C₂×C₄	—	4	2	no	—
1006	C₂×C₄	—	4	2	no	—
1007	C₂×C₄	—	8	4	no	—
1008	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
1009	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1010	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1011	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1012	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1013	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1014	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1015	C₈	—	2	2	no	—
1016	C₈	—	2	2	no	—
1017	C₈	—	2	2	no	—
1018	C₈	C₂²×D₄×C₁₃	1	2	yes	—
1019	C₈	C₂²×D₄×C₁₃	1	2	yes	—
1020	C₂²	—	2	2	no	—
1021	C₂²	—	2	2	no	—
1022	C₂²	—	2	4	no	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	2	no	—
1025	C₂²	—	2	2	no	—
1026	C₂²	—	2	4	no	—
1027	C₂²	—	4	4	no	—
1028	C₂²	—	4	4	no	—
1029	C₂²	—	4	2	no	—
1030	C₂²	—	4	2	no	—
1031	C₂²	—	4	4	no	—
1032	C₂²	—	4	4	no	—
1033	C₂²	—	4	1	no	—
1034	C₂²	—	4	2	no	—
1035	C₂²	—	4	1	no	—
1036	C₂²	—	4	2	no	—
1037	C₂²	—	8	4	no	—
1038	C₂²	—	8	4	no	—
1039	C₂²	—	8	4	no	—
1040	C₂²	—	8	16	no	—
1041	C₂²	—	16	4	no	—
1042	C₂²	D₄²×C₁₃	1	2	yes	—
1043	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1044	C₄	—	2	4	no	—
1045	C₄	—	2	2	no	—
1046	C₄	—	2	4	no	—
1047	C₄	—	2	2	no	—
1048	C₄	—	4	2	no	—
1049	C₄	—	4	2	no	—
1050	C₄	—	4	1	no	—
1051	C₄	—	4	1	no	—
1052	C₄	D₄²×C₁₃	1	2	yes	—
1053	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1054	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1055	C₂	—	2	2	no	—
1056	C₂	—	4	2	no	—
1057	C₂	—	4	2	no	—
1058	C₂	—	4	4	no	—
1059	C₂	—	8	2	no	—
1060	C₂	—	8	2	no	—
1061	C₂	—	8	1	no	—
1062	C₂	—	8	1	no	—
1063	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1064	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. C₂×C₁₃×#577	C₂	semidirect
2. C₂²×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
3. C₁₃×#3487	C₂	semidirect
4. C₁₃×#3484	C₂	semidirect
5. C₁₃×#3275	C₂	semidirect
6. C₁₃×#3274	C₂	semidirect
7. C₁₃×#3268	C₂	semidirect
8. C₁₃×#3265	C₂	semidirect
9. C₁₃×#3155	C₂	semidirect
10. C₁₃×#3058	C₂	semidirect
11. C₁₃×#3054	C₂	semidirect
12. C₁₃×#3043	C₂	semidirect
13. C₁₃×#3041	C₂	semidirect
14. C₁₃×#3010	C₂	semidirect
15. C₁₃×#3008	C₂	semidirect
16. C₁₃×#3005	C₂	semidirect
17. C₁₃×#3003	C₂	semidirect
18. C₁₃×#2949	C₂	semidirect
19. C₁₃×#2930	C₂	semidirect
20. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
22. C₂²×C₁₃×#41	C₂²	semidirect
25. C₂×C₁₃×#137	C₂²	semidirect
26. C₂×C₁₃×#137	C₂²	semidirect
29. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
30. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
31. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
32. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
33. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
34. C₂×C₁₃×#135	C₂²	semidirect
35. C₂×C₁₃×#135	C₂²	semidirect
37. C₂²×C₁₃×SD₁₆	C₂²	semidirect
38. C₂²×C₁₃×SD₁₆	C₂²	semidirect
40. C₂²×C₁₃×D₈	C₂²	semidirect
41. C₂×C₁₃×#131	C₂²	semidirect
42. C₂²×C₁₃×M₁₆	C₂²	semidirect
44. C₁₃×#550	C₂²	semidirect
46. C₁₃×#548	C₂²	semidirect
48. C₁₃×#546	C₂²	semidirect
50. D₄²×C₁₃	C₂²	semidirect
54. C₁₃×#535	C₂²	semidirect
55. C₁₃×#535	C₂²	semidirect
60. C₁₃×#525	C₂²	semidirect
62. C₁₃×#519	C₂²	semidirect
64. C₁₃×#496	C₂²	semidirect
65. C₁₃×#496	C₂²	semidirect
66. C₁₃×#495	C₂²	semidirect
67. C₁₃×#493	C₂²	semidirect
68. C₁₃×#470	C₂²	semidirect
69. C₁₃×#469	C₂²	semidirect
70. C₁₃×#469	C₂²	semidirect
71. C₁₃×#468	C₂²	semidirect
72. C₁₃×#468	C₂²	semidirect
73. C₁₃×#466	C₂²	semidirect
74. C₁₃×#464	C₂²	semidirect
75. C₁₃×#463	C₂²	semidirect
76. C₁₃×#460	C₂²	semidirect
77. C₁₃×#459	C₂²	semidirect
78. C₁₃×#452	C₂²	semidirect
79. C₁₃×#450	C₂²	semidirect
80. C₁₃×#449	C₂²	semidirect
81. C₁₃×#449	C₂²	semidirect
82. C₁₃×#449	C₂²	semidirect
83. C₁₃×#448	C₂²	semidirect
84. C₁₃×#447	C₂²	semidirect
85. C₁₃×#447	C₂²	semidirect
86. C₁₃×#440	C₂²	semidirect
87. C₄×C₁₃×SD₁₆	C₂²	semidirect
88. C₁₃×#436	C₂²	semidirect
89. C₁₃×#435	C₂²	semidirect
90. C₁₃×#427	C₂²	semidirect
91. C₁₃×#424	C₂²	semidirect
92. C₁₃×#419	C₂²	semidirect
94. C₁₃×#418	C₂²	semidirect
95. C₁₃×#418	C₂²	semidirect
96. C₁₃×#416	C₂²	semidirect
97. C₁₃×#416	C₂²	semidirect
98. C₁₃×#408	C₂²	semidirect
99. C₁₃×#407	C₂²	semidirect
100. C₁₃×#405	C₂²	semidirect
117. C₂×C₁₃×#41	C₂³	semidirect
120. C₂²×Q₈×C₁₃	C₂³	semidirect
146. C₂×C₁₃×Q₁₆	C₂³	semidirect
147. C₂×C₁₃×Q₁₆	C₂³	semidirect
150. C₂×C₁₃×SD₁₆	D₄	semidirect
156. C₂×C₁₃×SD₁₆	C₂³	semidirect
157. C₂×C₁₃×SD₁₆	C₂³	semidirect
158. C₂×C₁₃×SD₁₆	C₂³	semidirect
159. C₂×C₁₃×SD₁₆	C₂³	semidirect
167. C₂×C₁₃×D₈	C₂³	semidirect
168. C₂×C₁₃×D₈	C₂³	semidirect
175. C₂×C₁₃×M₁₆	C₂³	semidirect
178. C₂²×C₈×C₁₃	C₂³	semidirect
183. C₁₃×#127	C₂³	semidirect
188. C₁₃×#124	C₂³	semidirect
208. C₁₃×#121	C₂³	semidirect
220. C₄×Q₈×C₁₃	C₂³	semidirect
234. C₁₃×#107	C₂³	semidirect
235. C₁₃×#106	C₂³	semidirect
236. C₁₃×C₄⋊C₈	C₂³	semidirect
237. C₁₃×#103	C₂³	semidirect
238. C₁₃×#103	C₂³	semidirect
239. C₁₃×#103	C₂³	semidirect
242. C₁₃×#102	C₂³	semidirect
243. C₁₃×#102	C₂³	semidirect
244. C₁₃×#102	C₂³	semidirect
246. C₁₃×C₂²⋊C₈	C₂³	semidirect
247. C₁₃×#97	C₂³	semidirect
248. C₄×C₈×C₁₃	C₂³	semidirect
249. #61059	C₁₃	direct (N × H)
281. C₂×Q₈×C₁₃	C₂×D₄	semidirect
350. C₁₃×SD₁₆	C₂×D₄	semidirect
351. C₁₃×SD₁₆	C₂×D₄	semidirect
366. C₂×C₈×C₁₃	C₂×D₄	semidirect
397. C₂×#577	C₂×C₁₃	semidirect
398. C₂²×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
399. #3487	C₂×C₁₃	semidirect
400. #3484	C₂×C₁₃	semidirect
401. #3275	C₂×C₁₃	semidirect
402. #3274	C₂×C₁₃	semidirect
403. #3268	C₂×C₁₃	semidirect
404. #3265	C₂×C₁₃	semidirect
405. #3155	C₂×C₁₃	semidirect
406. #3058	C₂×C₁₃	semidirect
407. #3054	C₂×C₁₃	semidirect
408. #3043	C₂×C₁₃	semidirect
409. #3041	C₂×C₁₃	semidirect
410. #3010	C₂×C₁₃	semidirect
411. #3008	C₂×C₁₃	semidirect
412. #3005	C₂×C₁₃	semidirect
413. #3003	C₂×C₁₃	semidirect
414. #2949	C₂×C₁₃	semidirect
415. #2930	C₂×C₁₃	semidirect
507. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
509. C₂²×#41	C₂²×C₁₃	semidirect
512. C₂×#137	C₂²×C₁₃	semidirect
513. C₂×#137	C₂²×C₁₃	semidirect
516. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
517. C₂×AGL(1,ℤ/8)	C₂²×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
522. C₂×#135	C₂²×C₁₃	semidirect
524. C₂²×SD₁₆	C₂²×C₁₃	semidirect
525. C₂²×SD₁₆	C₂²×C₁₃	semidirect
527. C₂²×D₈	C₂²×C₁₃	semidirect
528. C₂×#131	C₂²×C₁₃	semidirect
529. C₂²×M₁₆	C₂²×C₁₃	semidirect
531. #550	C₂²×C₁₃	semidirect
533. #548	C₂²×C₁₃	semidirect
535. #546	C₂²×C₁₃	semidirect
537. D₄²	C₂²×C₁₃	semidirect
541. #535	C₂²×C₁₃	semidirect
542. #535	C₂²×C₁₃	semidirect
547. #525	C₂²×C₁₃	semidirect
549. #519	C₂²×C₁₃	semidirect
551. #496	C₂²×C₁₃	semidirect
552. #496	C₂²×C₁₃	semidirect
553. #495	C₂²×C₁₃	semidirect
554. #493	C₂²×C₁₃	semidirect
555. #470	C₂²×C₁₃	semidirect
556. #469	C₂²×C₁₃	semidirect
557. #469	C₂²×C₁₃	semidirect
558. #468	C₂²×C₁₃	semidirect
559. #468	C₂²×C₁₃	semidirect
560. #466	C₂²×C₁₃	semidirect
561. #464	C₂²×C₁₃	semidirect
562. #463	C₂²×C₁₃	semidirect
563. #460	C₂²×C₁₃	semidirect
564. #459	C₂²×C₁₃	semidirect
565. #452	C₂²×C₁₃	semidirect
566. #450	C₂²×C₁₃	semidirect
567. #449	C₂²×C₁₃	semidirect
568. #449	C₂²×C₁₃	semidirect
569. #449	C₂²×C₁₃	semidirect
570. #448	C₂²×C₁₃	semidirect
571. #447	C₂²×C₁₃	semidirect
572. #447	C₂²×C₁₃	semidirect
573. #440	C₂²×C₁₃	semidirect
574. C₄×SD₁₆	C₂²×C₁₃	semidirect
575. #436	C₂²×C₁₃	semidirect
576. #435	C₂²×C₁₃	semidirect
577. #427	C₂²×C₁₃	semidirect
578. #424	C₂²×C₁₃	semidirect
579. #419	C₂²×C₁₃	semidirect
581. #418	C₂²×C₁₃	semidirect
582. #418	C₂²×C₁₃	semidirect
583. #416	C₂²×C₁₃	semidirect
584. #416	C₂²×C₁₃	semidirect
585. #408	C₂²×C₁₃	semidirect
586. #407	C₂²×C₁₃	semidirect
587. #405	C₂²×C₁₃	semidirect
639. C₂×#41	C₂³×C₁₃	semidirect
642. C₂²×Q₈	C₂³×C₁₃	semidirect
668. C₂×Q₁₆	C₂³×C₁₃	semidirect
669. C₂×Q₁₆	C₂³×C₁₃	semidirect
672. C₂×SD₁₆	D₄×C₁₃	semidirect
678. C₂×SD₁₆	C₂³×C₁₃	semidirect
679. C₂×SD₁₆	C₂³×C₁₃	semidirect
680. C₂×SD₁₆	C₂³×C₁₃	semidirect
681. C₂×SD₁₆	C₂³×C₁₃	semidirect
689. C₂×D₈	C₂³×C₁₃	semidirect
690. C₂×D₈	C₂³×C₁₃	semidirect
697. C₂×M₁₆	C₂³×C₁₃	semidirect
700. C₂²×C₈	C₂³×C₁₃	semidirect
705. #127	C₂³×C₁₃	semidirect
710. #124	C₂³×C₁₃	semidirect
730. #121	C₂³×C₁₃	semidirect
742. C₄×Q₈	C₂³×C₁₃	semidirect
756. #107	C₂³×C₁₃	semidirect
757. #106	C₂³×C₁₃	semidirect
758. C₄⋊C₈	C₂³×C₁₃	semidirect
759. #103	C₂³×C₁₃	semidirect
760. #103	C₂³×C₁₃	semidirect
761. #103	C₂³×C₁₃	semidirect
764. #102	C₂³×C₁₃	semidirect
765. #102	C₂³×C₁₃	semidirect
766. #102	C₂³×C₁₃	semidirect
768. C₂²⋊C₈	C₂³×C₁₃	semidirect
769. #97	C₂³×C₁₃	semidirect
770. C₄×C₈	C₂³×C₁₃	semidirect
812. C₂×Q₈	C₂×D₄×C₁₃	semidirect
881. SD₁₆	C₂×D₄×C₁₃	semidirect
882. SD₁₆	C₂×D₄×C₁₃	semidirect
897. C₂×C₈	C₂×D₄×C₁₃	semidirect
928. C₁₃	#61059	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#577	2
C₂²×C₁₃×AGL(1,ℤ/8)	2
C₁₃×#3487	2
C₁₃×#3484	2
C₁₃×#3275	2
C₁₃×#3274	2
C₁₃×#3268	2
C₁₃×#3265	2
C₁₃×#3155	2
C₁₃×#3058	2
C₁₃×#3054	2
C₁₃×#3043	2
C₁₃×#3041	2
C₁₃×#3010	2
C₁₃×#3008	2
C₁₃×#3005	2
C₁₃×#3003	2
C₁₃×#2949	2
C₁₃×#2930	2
#61059	13

Subgroups — C13×#61059 #15747398

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61059 #15747398