Subgroups — C₁₃×#61082 #15747421

Order 3328.

2810 conjugacy classes of subgroups.

The subgroup lattice has 1110 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	C₂×C₁₃×#576	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3498	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3271	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3268	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3265	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3264	C₂	1	4	yes	maximal, complemented
9	C₂×C₁₃×#496	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3058	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3057	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3040	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3038	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3009	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3008	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3008	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2943	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2932	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	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
24	C₁₃×#577	—	2	8	no	—
25	C₁₃×#576	—	2	8	no	—
26	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
28	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
31	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	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
35	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
36	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
37	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
38	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₁₃×D₈	C₂²	1	2	yes	complemented
41	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#550	C₂²	1	4	yes	complemented
46	C₁₃×#548	C₂²	1	4	yes	complemented
47	C₁₃×#546	—	2	4	no	—
48	C₁₃×#546	C₂²	1	4	yes	complemented
49	D₄²×C₁₃	—	2	4	no	—
50	D₄²×C₁₃	C₂²	1	4	yes	complemented
51	C₁₃×#536	—	2	1	no	—
52	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#535	—	2	1	no	—
54	C₁₃×#535	—	2	1	no	—
55	C₁₃×#535	—	2	1	no	—
56	C₁₃×#535	C₂²	1	1	yes	characteristic
57	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#532	—	2	1	no	—
60	C₁₃×#532	—	2	1	no	—
61	C₁₃×#532	C₂²	1	1	yes	characteristic
62	C₂×C₁₃×#127	—	2	1	no	—
63	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₁₃×#124	—	2	1	no	—
65	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
66	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
67	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#496	C₂²	1	4	yes	complemented
69	C₁₃×#496	C₂²	1	4	yes	complemented
70	C₁₃×#469	C₂²	1	4	yes	complemented
71	C₁₃×#468	C₂²	1	4	yes	complemented
72	C₁₃×#466	C₂²	1	4	yes	complemented
73	C₁₃×#465	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×#442	C₂²	1	2	yes	complemented
87	C₁₃×#441	C₂²	1	2	yes	complemented
88	C₁₃×#440	C₂²	1	2	yes	complemented
89	C₁₃×#440	C₂²	1	2	yes	complemented
90	C₁₃×#435	C₂²	1	4	yes	complemented
91	C₁₃×#435	C₂²	1	4	yes	complemented
92	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
102	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×2₋¹⁺⁴	—	2	4	no	—
104	C₁₃×2₋¹⁺⁴	—	4	2	no	—
105	C₁₃×H(5,𝔽₂)	—	2	4	no	—
106	C₁₃×H(5,𝔽₂)	—	2	4	no	—
107	C₁₃×H(5,𝔽₂)	—	2	4	no	—
108	C₁₃×H(5,𝔽₂)	—	4	2	no	—
109	C₁₃×H(5,𝔽₂)	—	4	2	no	—
110	C₁₃×H(5,𝔽₂)	—	4	2	no	—
111	C₂×C₁₃×#41	—	2	1	no	—
112	C₂×C₁₃×#41	—	2	1	no	—
113	C₂×C₁₃×#41	—	2	1	no	—
114	C₂×C₁₃×#41	—	2	1	no	—
115	C₂×C₁₃×#41	—	2	2	no	—
116	C₂×C₁₃×#41	C₂³	1	2	yes	—
117	C₂×C₁₃×#41	C₂³	1	2	yes	—
118	C₂×C₁₃×#41	C₂³	1	2	yes	—
119	C₂×C₁₃×#41	C₂³	1	2	yes	—
120	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
121	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
122	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
123	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₁₃	—	2	1	no	—
125	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
126	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
127	C₂²×D₄×C₁₃	—	2	1	no	—
128	C₂²×D₄×C₁₃	—	2	1	no	—
129	C₂²×D₄×C₁₃	—	2	1	no	—
130	C₂²×D₄×C₁₃	—	2	2	no	—
131	C₂²×D₄×C₁₃	—	2	2	no	—
132	C₂²×D₄×C₁₃	—	2	2	no	—
133	C₂²×D₄×C₁₃	—	2	4	no	—
134	C₂²×D₄×C₁₃	—	2	2	no	—
135	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
141	C₁₃×#137	—	2	4	no	—
142	C₁₃×#137	—	2	8	no	—
143	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
144	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
145	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
146	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
147	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
148	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
149	C₁₃×#135	—	2	8	no	—
150	C₁₃×#135	—	2	8	no	—
151	C₁₃×#135	D₄	1	8	yes	complemented
152	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×SD₁₆	—	2	8	no	—
155	C₂×C₁₃×SD₁₆	—	2	4	no	—
156	C₂×C₁₃×SD₁₆	—	4	2	no	—
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
161	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
162	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
163	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
164	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
166	C₂×C₁₃×D₈	—	2	8	no	—
167	C₂×C₁₃×D₈	—	2	4	no	—
168	C₂×C₁₃×D₈	—	4	2	no	—
169	C₂×C₁₃×D₈	C₂³	1	2	yes	—
170	C₂×C₁₃×D₈	C₂³	1	2	yes	—
171	C₂×C₁₃×D₈	C₂³	1	2	yes	—
172	C₂×C₁₃×D₈	C₂³	1	2	yes	—
173	C₂×C₁₃×D₈	C₂³	1	2	yes	—
174	C₂×C₁₃×D₈	C₂³	1	4	yes	—
175	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
176	C₁₃×#131	—	2	4	no	—
177	C₁₃×#131	—	2	4	no	—
178	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
179	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
181	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
182	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
183	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
184	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
185	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
186	C₁₃×C₄⋊Q₈	—	2	1	no	—
187	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
188	C₁₃×#127	—	2	1	no	—
189	C₁₃×#127	—	2	1	no	—
190	C₁₃×#127	—	2	4	no	—
191	C₁₃×#127	—	2	1	no	—
192	C₁₃×#127	—	2	1	no	—
193	C₁₃×#127	—	2	1	no	—
194	C₁₃×#127	D₄	1	1	yes	characteristic
195	C₁₃×#127	C₂³	1	4	yes	—
196	C₁₃×#124	—	2	1	no	—
197	C₁₃×#124	—	2	1	no	—
198	C₁₃×#124	—	2	1	no	—
199	C₁₃×#124	—	2	1	no	—
200	C₁₃×#124	—	2	4	no	—
201	C₁₃×#124	—	2	1	no	—
202	C₁₃×#124	—	2	1	no	—
203	C₁₃×#124	D₄	1	1	yes	characteristic
204	C₁₃×#124	D₄	1	1	yes	characteristic
205	C₁₃×#124	C₂³	1	4	yes	—
206	C₁₃×#123	—	2	2	no	—
207	C₁₃×#123	—	2	4	no	—
208	C₁₃×C₂²⋊Q₈	—	2	4	no	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
210	C₁₃×#121	—	2	4	no	—
211	C₁₃×#121	—	2	4	no	—
212	C₁₃×#121	—	2	4	no	—
213	C₁₃×#121	—	2	4	no	—
214	C₁₃×#121	—	2	4	no	—
215	C₁₃×#121	D₄	1	4	yes	—
216	C₁₃×#121	C₂³	1	4	yes	—
217	C₁₃×#121	C₂³	1	4	yes	—
218	C₁₃×#121	C₂³	1	4	yes	—
219	C₁₃×#120	—	2	4	no	—
220	C₁₃×#120	—	2	2	no	—
221	C₁₃×#120	—	2	2	no	—
222	C₁₃×#120	—	2	2	no	—
223	C₁₃×#120	—	2	4	no	—
224	C₁₃×#120	—	2	4	no	—
225	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
226	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
227	C₄×D₄×C₁₃	—	2	2	no	—
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	4	no	—
230	C₄×D₄×C₁₃	—	2	4	no	—
231	C₄×D₄×C₁₃	C₂³	1	2	yes	—
232	C₄×D₄×C₁₃	C₂³	1	2	yes	—
233	C₄×D₄×C₁₃	C₂³	1	4	yes	—
234	C₁₃×#117	—	2	1	no	—
235	C₁₃×#117	—	2	1	no	—
236	C₁₃×#117	C₂³	1	1	yes	characteristic
237	C₁₃×#117	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
239	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
240	C₂×C₄²×C₁₃	—	2	1	no	—
241	C₂×C₄²×C₁₃	—	2	1	no	—
242	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
243	C₁₃×#107	C₂³	1	2	yes	—
244	C₁₃×#106	C₂³	1	2	yes	—
245	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
246	C₁₃×#103	C₂³	1	2	yes	—
247	C₁₃×#103	C₂³	1	2	yes	—
248	C₁₃×#103	C₂³	1	4	yes	—
249	C₁₃×#102	C₂³	1	2	yes	—
250	C₁₃×#102	C₂³	1	2	yes	—
251	C₁₃×#102	C₂³	1	4	yes	—
252	C₁₃×#102	C₂³	1	4	yes	—
253	C₁₃×#102	C₂³	1	4	yes	—
254	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
255	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
256	C₁₃×#97	C₂³	1	2	yes	—
257	C₁₃×#97	C₂³	1	2	yes	—
258	#61082	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
259	C₂⁴×C₁₃	—	2	2	no	—
260	C₂⁴×C₁₃	—	2	1	no	—
261	C₂⁴×C₁₃	—	2	2	no	—
262	C₂⁴×C₁₃	—	2	2	no	—
263	C₂⁴×C₁₃	—	2	1	no	—
264	C₂⁴×C₁₃	—	2	1	no	—
265	C₁₃×#41	—	2	2	no	—
266	C₁₃×#41	—	2	2	no	—
267	C₁₃×#41	—	2	2	no	—
268	C₁₃×#41	—	2	2	no	—
269	C₁₃×#41	—	2	2	no	—
270	C₁₃×#41	—	2	2	no	—
271	C₁₃×#41	—	2	4	no	—
272	C₁₃×#41	—	2	4	no	—
273	C₁₃×#41	—	2	4	no	—
274	C₁₃×#41	—	2	4	no	—
275	C₁₃×#41	—	4	2	no	—
276	C₁₃×#41	—	4	2	no	—
277	C₁₃×#41	—	4	2	no	—
278	C₁₃×#41	—	4	2	no	—
279	C₁₃×#41	—	4	4	no	—
280	C₁₃×#41	—	4	4	no	—
281	C₁₃×#41	—	4	4	no	—
282	C₁₃×#41	—	4	4	no	—
283	C₁₃×#41	—	4	8	no	—
284	C₁₃×#41	C₂×D₄	1	4	yes	—
285	C₁₃×#41	C₂×D₄	1	4	yes	complemented
286	C₂×Q₈×C₁₃	—	2	2	no	—
287	C₂×Q₈×C₁₃	—	2	1	no	—
288	C₂×Q₈×C₁₃	—	2	4	no	—
289	C₂×Q₈×C₁₃	—	2	2	no	—
290	C₂×Q₈×C₁₃	—	2	2	no	—
291	C₂×Q₈×C₁₃	—	4	2	no	—
292	C₂×Q₈×C₁₃	—	4	4	no	—
293	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
294	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
295	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
296	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
297	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
298	C₂×D₄×C₁₃	—	2	1	no	—
299	C₂×D₄×C₁₃	—	2	1	no	—
300	C₂×D₄×C₁₃	—	2	4	no	—
301	C₂×D₄×C₁₃	—	2	4	no	—
302	C₂×D₄×C₁₃	—	2	4	no	—
303	C₂×D₄×C₁₃	—	2	2	no	—
304	C₂×D₄×C₁₃	—	2	2	no	—
305	C₂×D₄×C₁₃	—	2	2	no	—
306	C₂×D₄×C₁₃	—	2	2	no	—
307	C₂×D₄×C₁₃	—	2	4	no	—
308	C₂×D₄×C₁₃	—	2	4	no	—
309	C₂×D₄×C₁₃	—	2	4	no	—
310	C₂×D₄×C₁₃	—	2	2	no	—
311	C₂×D₄×C₁₃	—	2	2	no	—
312	C₂×D₄×C₁₃	—	2	2	no	—
313	C₂×D₄×C₁₃	—	2	4	no	—
314	C₂×D₄×C₁₃	—	2	2	no	—
315	C₂×D₄×C₁₃	—	2	2	no	—
316	C₂×D₄×C₁₃	—	2	2	no	—
317	C₂×D₄×C₁₃	—	2	1	no	—
318	C₂×D₄×C₁₃	—	2	1	no	—
319	C₂×D₄×C₁₃	—	2	1	no	—
320	C₂×D₄×C₁₃	—	2	4	no	—
321	C₂×D₄×C₁₃	—	2	2	no	—
322	C₂×D₄×C₁₃	—	2	2	no	—
323	C₂×D₄×C₁₃	—	2	2	no	—
324	C₂×D₄×C₁₃	—	4	2	no	—
325	C₂×D₄×C₁₃	—	4	2	no	—
326	C₂×D₄×C₁₃	—	4	2	no	—
327	C₂×D₄×C₁₃	—	4	4	no	—
328	C₂×D₄×C₁₃	—	4	4	no	—
329	C₂×D₄×C₁₃	—	4	4	no	—
330	C₂×D₄×C₁₃	—	4	8	no	—
331	C₂×D₄×C₁₃	—	4	8	no	—
332	C₂×D₄×C₁₃	—	4	8	no	—
333	C₂×D₄×C₁₃	—	8	4	no	—
334	C₂×D₄×C₁₃	—	8	8	no	—
335	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
336	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
337	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
338	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
339	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
340	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
341	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
342	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
343	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	—	2	2	no	—
351	C₂²×C₄×C₁₃	—	2	2	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
356	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
357	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
358	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₁₃×Q₁₆	—	2	4	no	—
360	C₁₃×Q₁₆	C₂×D₄	1	4	yes	complemented
361	C₁₃×SD₁₆	—	2	4	no	—
362	C₁₃×SD₁₆	—	2	4	no	—
363	C₁₃×SD₁₆	—	2	4	no	—
364	C₁₃×SD₁₆	—	2	4	no	—
365	C₁₃×SD₁₆	—	2	4	no	—
366	C₁₃×SD₁₆	—	2	4	no	—
367	C₁₃×SD₁₆	—	4	4	no	—
368	C₁₃×SD₁₆	C₂×D₄	1	4	yes	complemented
369	C₁₃×SD₁₆	C₂×D₄	1	4	yes	complemented
370	C₁₃×D₈	—	2	4	no	—
371	C₁₃×D₈	—	2	4	no	—
372	C₁₃×D₈	—	2	4	no	—
373	C₁₃×D₈	—	2	4	no	—
374	C₁₃×D₈	—	2	4	no	—
375	C₁₃×D₈	—	4	4	no	—
376	C₁₃×D₈	C₂×D₄	1	4	yes	complemented
377	C₁₃×M₁₆	—	2	2	no	—
378	C₁₃×M₁₆	—	2	2	no	—
379	C₁₃×M₁₆	—	2	4	no	—
380	C₁₃×M₁₆	—	2	4	no	—
381	C₂×C₈×C₁₃	—	2	2	no	—
382	C₂×C₈×C₁₃	—	2	4	no	—
383	C₂×C₈×C₁₃	—	2	4	no	—
384	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	complemented
385	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
386	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
387	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
388	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	4	no	—
393	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
394	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
395	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
396	C₁₃×C₂²⋊C₄	—	2	4	no	—
397	C₁₃×C₂²⋊C₄	—	2	1	no	—
398	C₁₃×C₂²⋊C₄	—	2	1	no	—
399	C₁₃×C₂²⋊C₄	—	2	4	no	—
400	C₁₃×C₂²⋊C₄	—	2	4	no	—
401	C₁₃×C₂²⋊C₄	—	2	4	no	—
402	C₁₃×C₂²⋊C₄	—	2	2	no	—
403	C₁₃×C₂²⋊C₄	—	2	2	no	—
404	C₁₃×C₂²⋊C₄	—	2	4	no	—
405	C₁₃×C₂²⋊C₄	—	2	4	no	—
406	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
407	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
408	C₄²×C₁₃	—	2	1	no	—
409	C₄²×C₁₃	—	2	1	no	—
410	C₄²×C₁₃	—	2	2	no	—
411	C₄²×C₁₃	—	2	2	no	—
412	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
413	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
414	C₄²×C₁₃	C₂⁴	1	2	yes	—
415	C₂×#577	C₂×C₁₃	1	1	yes	characteristic, complemented
416	C₂×#576	C₂×C₁₃	1	1	yes	characteristic, complemented
417	#3500	C₂×C₁₃	1	1	yes	characteristic, complemented
418	#3498	C₂×C₁₃	1	1	yes	characteristic, complemented
419	#3271	C₂×C₁₃	1	4	yes	complemented
420	#3268	C₂×C₁₃	1	4	yes	complemented
421	#3265	C₂×C₁₃	1	4	yes	complemented
422	#3264	C₂×C₁₃	1	4	yes	complemented
423	C₂×#496	C₂×C₁₃	1	1	yes	characteristic, complemented
424	#3058	C₂×C₁₃	1	1	yes	characteristic, complemented
425	#3057	C₂×C₁₃	1	1	yes	characteristic, complemented
426	#3040	C₂×C₁₃	1	1	yes	characteristic, complemented
427	#3038	C₂×C₁₃	1	1	yes	characteristic, complemented
428	#3010	C₂×C₁₃	1	1	yes	characteristic, complemented
429	#3009	C₂×C₁₃	1	1	yes	characteristic, complemented
430	#3008	C₂×C₁₃	1	1	yes	characteristic, complemented
431	#3008	C₂×C₁₃	1	1	yes	characteristic, complemented
432	#2943	C₂×C₁₃	1	1	yes	characteristic, complemented
433	#2932	C₂×C₁₃	1	1	yes	characteristic, complemented
434	C₂³×C₁₃	—	2	1	no	—
435	C₂³×C₁₃	—	2	1	no	—
436	C₂³×C₁₃	—	2	2	no	—
437	C₂³×C₁₃	—	2	2	no	—
438	C₂³×C₁₃	—	2	2	no	—
439	C₂³×C₁₃	—	4	4	no	—
440	C₂³×C₁₃	—	4	4	no	—
441	C₂³×C₁₃	—	4	4	no	—
442	C₂³×C₁₃	—	4	2	no	—
443	C₂³×C₁₃	—	4	2	no	—
444	C₂³×C₁₃	—	4	2	no	—
445	C₂³×C₁₃	—	8	2	no	—
446	C₂³×C₁₃	—	8	2	no	—
447	C₂³×C₁₃	—	8	4	no	—
448	C₂³×C₁₃	—	8	4	no	—
449	C₂³×C₁₃	—	8	2	no	—
450	C₂³×C₁₃	—	8	4	no	—
451	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
452	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
453	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
454	Q₈×C₁₃	—	2	2	no	—
455	Q₈×C₁₃	—	2	2	no	—
456	Q₈×C₁₃	—	2	1	no	—
457	Q₈×C₁₃	—	2	1	no	—
458	Q₈×C₁₃	—	2	2	no	—
459	Q₈×C₁₃	—	2	2	no	—
460	Q₈×C₁₃	—	4	4	no	—
461	Q₈×C₁₃	—	4	2	no	—
462	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
463	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
464	D₄×C₁₃	—	2	4	no	—
465	D₄×C₁₃	—	2	4	no	—
466	D₄×C₁₃	—	2	4	no	—
467	D₄×C₁₃	—	2	4	no	—
468	D₄×C₁₃	—	2	2	no	—
469	D₄×C₁₃	—	2	2	no	—
470	D₄×C₁₃	—	2	2	no	—
471	D₄×C₁₃	—	2	2	no	—
472	D₄×C₁₃	—	2	2	no	—
473	D₄×C₁₃	—	2	1	no	—
474	D₄×C₁₃	—	2	1	no	—
475	D₄×C₁₃	—	2	2	no	—
476	D₄×C₁₃	—	2	2	no	—
477	D₄×C₁₃	—	2	2	no	—
478	D₄×C₁₃	—	4	4	no	—
479	D₄×C₁₃	—	4	4	no	—
480	D₄×C₁₃	—	4	4	no	—
481	D₄×C₁₃	—	4	4	no	—
482	D₄×C₁₃	—	4	4	no	—
483	D₄×C₁₃	—	4	4	no	—
484	D₄×C₁₃	—	4	4	no	—
485	D₄×C₁₃	—	4	8	no	—
486	D₄×C₁₃	—	4	4	no	—
487	D₄×C₁₃	—	4	2	no	—
488	D₄×C₁₃	—	4	2	no	—
489	D₄×C₁₃	—	4	2	no	—
490	D₄×C₁₃	—	8	4	no	—
491	D₄×C₁₃	—	8	4	no	—
492	D₄×C₁₃	—	8	4	no	—
493	D₄×C₁₃	—	8	4	no	—
494	D₄×C₁₃	C₂²×D₄	1	2	yes	—
495	D₄×C₁₃	C₂²×D₄	1	2	yes	—
496	C₂×C₄×C₁₃	—	2	1	no	—
497	C₂×C₄×C₁₃	—	2	1	no	—
498	C₂×C₄×C₁₃	—	2	4	no	—
499	C₂×C₄×C₁₃	—	2	4	no	—
500	C₂×C₄×C₁₃	—	2	2	no	—
501	C₂×C₄×C₁₃	—	2	2	no	—
502	C₂×C₄×C₁₃	—	2	2	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	2	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	4	2	no	—
508	C₂×C₄×C₁₃	—	4	4	no	—
509	C₂×C₄×C₁₃	—	4	4	no	—
510	C₂×C₄×C₁₃	—	4	4	no	—
511	C₂×C₄×C₁₃	—	4	4	no	—
512	C₂×C₄×C₁₃	—	4	4	no	—
513	C₂×C₄×C₁₃	—	4	4	no	—
514	C₂×C₄×C₁₃	—	4	2	no	—
515	C₂×C₄×C₁₃	—	8	2	no	—
516	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
517	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
518	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
519	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
520	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
522	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
523	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
524	C₈×C₁₃	—	2	2	no	—
525	C₈×C₁₃	—	2	2	no	—
526	C₈×C₁₃	—	2	2	no	—
527	C₈×C₁₃	C₂²×D₄	1	2	yes	—
528	C₈×C₁₃	C₂²×D₄	1	2	yes	—
529	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
530	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
531	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
532	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
533	#577	—	2	8	no	—
534	#576	—	2	8	no	—
535	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
536	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
537	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
538	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
539	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
540	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
541	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
542	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
543	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
544	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
545	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
546	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
547	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
548	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
549	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
550	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
551	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
552	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
553	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
554	#550	C₂²×C₁₃	1	4	yes	complemented
555	#548	C₂²×C₁₃	1	4	yes	complemented
556	#546	—	2	4	no	—
557	#546	C₂²×C₁₃	1	4	yes	complemented
558	D₄²	—	2	4	no	—
559	D₄²	C₂²×C₁₃	1	4	yes	complemented
560	#536	—	2	1	no	—
561	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
562	#535	—	2	1	no	—
563	#535	—	2	1	no	—
564	#535	—	2	1	no	—
565	#535	C₂²×C₁₃	1	1	yes	characteristic
566	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
567	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
568	#532	—	2	1	no	—
569	#532	—	2	1	no	—
570	#532	C₂²×C₁₃	1	1	yes	characteristic
571	C₂×#127	—	2	1	no	—
572	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
573	C₂×#124	—	2	1	no	—
574	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
575	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
576	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
577	#496	C₂²×C₁₃	1	4	yes	complemented
578	#496	C₂²×C₁₃	1	4	yes	complemented
579	#469	C₂²×C₁₃	1	4	yes	complemented
580	#468	C₂²×C₁₃	1	4	yes	complemented
581	#466	C₂²×C₁₃	1	4	yes	complemented
582	#465	C₂²×C₁₃	1	4	yes	complemented
583	#464	C₂²×C₁₃	1	4	yes	complemented
584	#463	C₂²×C₁₃	1	4	yes	complemented
585	#460	C₂²×C₁₃	1	4	yes	complemented
586	#459	C₂²×C₁₃	1	4	yes	complemented
587	#452	C₂²×C₁₃	1	4	yes	complemented
588	#450	C₂²×C₁₃	1	4	yes	complemented
589	#449	C₂²×C₁₃	1	4	yes	complemented
590	#449	C₂²×C₁₃	1	4	yes	complemented
591	#449	C₂²×C₁₃	1	4	yes	complemented
592	#448	C₂²×C₁₃	1	4	yes	complemented
593	#447	C₂²×C₁₃	1	4	yes	complemented
594	#447	C₂²×C₁₃	1	4	yes	complemented
595	#442	C₂²×C₁₃	1	2	yes	complemented
596	#441	C₂²×C₁₃	1	2	yes	complemented
597	#440	C₂²×C₁₃	1	2	yes	complemented
598	#440	C₂²×C₁₃	1	2	yes	complemented
599	#435	C₂²×C₁₃	1	4	yes	complemented
600	#435	C₂²×C₁₃	1	4	yes	complemented
601	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
605	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
606	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
608	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
610	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	C₂²×C₁₃	—	2	2	no	—
613	C₂²×C₁₃	—	2	4	no	—
614	C₂²×C₁₃	—	2	4	no	—
615	C₂²×C₁₃	—	2	2	no	—
616	C₂²×C₁₃	—	2	2	no	—
617	C₂²×C₁₃	—	2	2	no	—
618	C₂²×C₁₃	—	2	2	no	—
619	C₂²×C₁₃	—	4	2	no	—
620	C₂²×C₁₃	—	4	2	no	—
621	C₂²×C₁₃	—	4	4	no	—
622	C₂²×C₁₃	—	4	4	no	—
623	C₂²×C₁₃	—	4	4	no	—
624	C₂²×C₁₃	—	4	2	no	—
625	C₂²×C₁₃	—	4	2	no	—
626	C₂²×C₁₃	—	4	2	no	—
627	C₂²×C₁₃	—	16	2	no	—
628	C₂²×C₁₃	—	16	2	no	—
629	C₂²×C₁₃	—	16	2	no	—
630	C₂²×C₁₃	—	16	4	no	—
631	C₂²×C₁₃	—	16	4	no	—
632	C₂²×C₁₃	—	16	4	no	—
633	C₂²×C₁₃	D₄²	1	2	yes	—
634	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
635	C₄×C₁₃	—	2	2	no	—
636	C₄×C₁₃	—	2	2	no	—
637	C₄×C₁₃	—	2	2	no	—
638	C₄×C₁₃	—	2	2	no	—
639	C₄×C₁₃	—	2	2	no	—
640	C₄×C₁₃	—	2	2	no	—
641	C₄×C₁₃	—	4	2	no	—
642	C₄×C₁₃	—	4	2	no	—
643	C₄×C₁₃	—	4	2	no	—
644	C₄×C₁₃	D₄²	1	2	yes	—
645	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
646	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
647	2₋¹⁺⁴	—	2	4	no	—
648	2₋¹⁺⁴	—	4	2	no	—
649	H(5,𝔽₂)	—	2	4	no	—
650	H(5,𝔽₂)	—	2	4	no	—
651	H(5,𝔽₂)	—	2	4	no	—
652	H(5,𝔽₂)	—	4	2	no	—
653	H(5,𝔽₂)	—	4	2	no	—
654	H(5,𝔽₂)	—	4	2	no	—
655	C₂×#41	—	2	1	no	—
656	C₂×#41	—	2	1	no	—
657	C₂×#41	—	2	1	no	—
658	C₂×#41	—	2	1	no	—
659	C₂×#41	—	2	2	no	—
660	C₂×#41	C₂³×C₁₃	1	2	yes	—
661	C₂×#41	C₂³×C₁₃	1	2	yes	—
662	C₂×#41	C₂³×C₁₃	1	2	yes	—
663	C₂×#41	C₂³×C₁₃	1	2	yes	—
664	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
665	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
666	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
667	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
668	C₂²×Q₈	—	2	1	no	—
669	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
670	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
671	C₂²×D₄	—	2	1	no	—
672	C₂²×D₄	—	2	1	no	—
673	C₂²×D₄	—	2	1	no	—
674	C₂²×D₄	—	2	2	no	—
675	C₂²×D₄	—	2	2	no	—
676	C₂²×D₄	—	2	2	no	—
677	C₂²×D₄	—	2	4	no	—
678	C₂²×D₄	—	2	2	no	—
679	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
680	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
681	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
682	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
683	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
684	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
685	#137	—	2	4	no	—
686	#137	—	2	8	no	—
687	AGL(1,ℤ/8)	—	2	4	no	—
688	AGL(1,ℤ/8)	—	2	4	no	—
689	AGL(1,ℤ/8)	—	2	4	no	—
690	AGL(1,ℤ/8)	—	2	8	no	—
691	AGL(1,ℤ/8)	—	2	8	no	—
692	AGL(1,ℤ/8)	—	2	8	no	—
693	#135	—	2	8	no	—
694	#135	—	2	8	no	—
695	#135	D₄×C₁₃	1	8	yes	complemented
696	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
697	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
698	C₂×SD₁₆	—	2	8	no	—
699	C₂×SD₁₆	—	2	4	no	—
700	C₂×SD₁₆	—	4	2	no	—
701	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
702	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
703	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
705	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
706	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
708	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×D₈	—	2	8	no	—
711	C₂×D₈	—	2	4	no	—
712	C₂×D₈	—	4	2	no	—
713	C₂×D₈	C₂³×C₁₃	1	2	yes	—
714	C₂×D₈	C₂³×C₁₃	1	2	yes	—
715	C₂×D₈	C₂³×C₁₃	1	2	yes	—
716	C₂×D₈	C₂³×C₁₃	1	2	yes	—
717	C₂×D₈	C₂³×C₁₃	1	2	yes	—
718	C₂×D₈	C₂³×C₁₃	1	4	yes	—
719	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
720	#131	—	2	4	no	—
721	#131	—	2	4	no	—
722	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
723	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
724	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
725	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
726	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
727	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
728	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
729	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
730	C₄⋊Q₈	—	2	1	no	—
731	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
732	#127	—	2	1	no	—
733	#127	—	2	1	no	—
734	#127	—	2	4	no	—
735	#127	—	2	1	no	—
736	#127	—	2	1	no	—
737	#127	—	2	1	no	—
738	#127	D₄×C₁₃	1	1	yes	characteristic
739	#127	C₂³×C₁₃	1	4	yes	—
740	#124	—	2	1	no	—
741	#124	—	2	1	no	—
742	#124	—	2	1	no	—
743	#124	—	2	1	no	—
744	#124	—	2	4	no	—
745	#124	—	2	1	no	—
746	#124	—	2	1	no	—
747	#124	D₄×C₁₃	1	1	yes	characteristic
748	#124	D₄×C₁₃	1	1	yes	characteristic
749	#124	C₂³×C₁₃	1	4	yes	—
750	#123	—	2	2	no	—
751	#123	—	2	4	no	—
752	C₂²⋊Q₈	—	2	4	no	—
753	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
754	#121	—	2	4	no	—
755	#121	—	2	4	no	—
756	#121	—	2	4	no	—
757	#121	—	2	4	no	—
758	#121	—	2	4	no	—
759	#121	D₄×C₁₃	1	4	yes	—
760	#121	C₂³×C₁₃	1	4	yes	—
761	#121	C₂³×C₁₃	1	4	yes	—
762	#121	C₂³×C₁₃	1	4	yes	—
763	#120	—	2	4	no	—
764	#120	—	2	2	no	—
765	#120	—	2	2	no	—
766	#120	—	2	2	no	—
767	#120	—	2	4	no	—
768	#120	—	2	4	no	—
769	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
770	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
771	C₄×D₄	—	2	2	no	—
772	C₄×D₄	—	2	2	no	—
773	C₄×D₄	—	2	4	no	—
774	C₄×D₄	—	2	4	no	—
775	C₄×D₄	C₂³×C₁₃	1	2	yes	—
776	C₄×D₄	C₂³×C₁₃	1	2	yes	—
777	C₄×D₄	C₂³×C₁₃	1	4	yes	—
778	#117	—	2	1	no	—
779	#117	—	2	1	no	—
780	#117	C₂³×C₁₃	1	1	yes	characteristic
781	#117	C₂³×C₁₃	1	1	yes	characteristic
782	C₂×C₂²⋊C₄	—	2	2	no	—
783	C₂×C₂²⋊C₄	—	2	4	no	—
784	C₂×C₄²	—	2	1	no	—
785	C₂×C₄²	—	2	1	no	—
786	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
787	#107	C₂³×C₁₃	1	2	yes	—
788	#106	C₂³×C₁₃	1	2	yes	—
789	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
790	#103	C₂³×C₁₃	1	2	yes	—
791	#103	C₂³×C₁₃	1	2	yes	—
792	#103	C₂³×C₁₃	1	4	yes	—
793	#102	C₂³×C₁₃	1	2	yes	—
794	#102	C₂³×C₁₃	1	2	yes	—
795	#102	C₂³×C₁₃	1	4	yes	—
796	#102	C₂³×C₁₃	1	4	yes	—
797	#102	C₂³×C₁₃	1	4	yes	—
798	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
799	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
800	#97	C₂³×C₁₃	1	2	yes	—
801	#97	C₂³×C₁₃	1	2	yes	—
802	C₂×C₁₃	—	2	2	no	—
803	C₂×C₁₃	—	4	2	no	—
804	C₂×C₁₃	—	4	2	no	—
805	C₂×C₁₃	—	4	2	no	—
806	C₂×C₁₃	—	4	2	no	—
807	C₂×C₁₃	—	8	2	no	—
808	C₂×C₁₃	—	8	2	no	—
809	C₂×C₁₃	—	8	2	no	—
810	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
811	C₂×C₁₃	#3585	1	2	yes	—
812	C₂⁴	—	2	2	no	—
813	C₂⁴	—	2	1	no	—
814	C₂⁴	—	2	2	no	—
815	C₂⁴	—	2	2	no	—
816	C₂⁴	—	2	1	no	—
817	C₂⁴	—	2	1	no	—
818	#41	—	2	2	no	—
819	#41	—	2	2	no	—
820	#41	—	2	2	no	—
821	#41	—	2	2	no	—
822	#41	—	2	2	no	—
823	#41	—	2	2	no	—
824	#41	—	2	4	no	—
825	#41	—	2	4	no	—
826	#41	—	2	4	no	—
827	#41	—	2	4	no	—
828	#41	—	4	2	no	—
829	#41	—	4	2	no	—
830	#41	—	4	2	no	—
831	#41	—	4	2	no	—
832	#41	—	4	4	no	—
833	#41	—	4	4	no	—
834	#41	—	4	4	no	—
835	#41	—	4	4	no	—
836	#41	—	4	8	no	—
837	#41	C₂×D₄×C₁₃	1	4	yes	—
838	#41	C₂×D₄×C₁₃	1	4	yes	complemented
839	C₂×Q₈	—	2	2	no	—
840	C₂×Q₈	—	2	1	no	—
841	C₂×Q₈	—	2	4	no	—
842	C₂×Q₈	—	2	2	no	—
843	C₂×Q₈	—	2	2	no	—
844	C₂×Q₈	—	4	2	no	—
845	C₂×Q₈	—	4	4	no	—
846	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
847	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
848	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
849	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
850	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
851	C₂×D₄	—	2	1	no	—
852	C₂×D₄	—	2	1	no	—
853	C₂×D₄	—	2	4	no	—
854	C₂×D₄	—	2	4	no	—
855	C₂×D₄	—	2	4	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	4	no	—
861	C₂×D₄	—	2	4	no	—
862	C₂×D₄	—	2	4	no	—
863	C₂×D₄	—	2	2	no	—
864	C₂×D₄	—	2	2	no	—
865	C₂×D₄	—	2	2	no	—
866	C₂×D₄	—	2	4	no	—
867	C₂×D₄	—	2	2	no	—
868	C₂×D₄	—	2	2	no	—
869	C₂×D₄	—	2	2	no	—
870	C₂×D₄	—	2	1	no	—
871	C₂×D₄	—	2	1	no	—
872	C₂×D₄	—	2	1	no	—
873	C₂×D₄	—	2	4	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	4	2	no	—
878	C₂×D₄	—	4	2	no	—
879	C₂×D₄	—	4	2	no	—
880	C₂×D₄	—	4	4	no	—
881	C₂×D₄	—	4	4	no	—
882	C₂×D₄	—	4	4	no	—
883	C₂×D₄	—	4	8	no	—
884	C₂×D₄	—	4	8	no	—
885	C₂×D₄	—	4	8	no	—
886	C₂×D₄	—	8	4	no	—
887	C₂×D₄	—	8	8	no	—
888	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
889	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
890	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
891	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
892	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
893	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
894	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
895	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
896	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
897	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
909	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
910	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
911	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
912	Q₁₆	—	2	4	no	—
913	Q₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
914	SD₁₆	—	2	4	no	—
915	SD₁₆	—	2	4	no	—
916	SD₁₆	—	2	4	no	—
917	SD₁₆	—	2	4	no	—
918	SD₁₆	—	2	4	no	—
919	SD₁₆	—	2	4	no	—
920	SD₁₆	—	4	4	no	—
921	SD₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
922	SD₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
923	D₈	—	2	4	no	—
924	D₈	—	2	4	no	—
925	D₈	—	2	4	no	—
926	D₈	—	2	4	no	—
927	D₈	—	2	4	no	—
928	D₈	—	4	4	no	—
929	D₈	C₂×D₄×C₁₃	1	4	yes	complemented
930	M₁₆	—	2	2	no	—
931	M₁₆	—	2	2	no	—
932	M₁₆	—	2	4	no	—
933	M₁₆	—	2	4	no	—
934	C₂×C₈	—	2	2	no	—
935	C₂×C₈	—	2	4	no	—
936	C₂×C₈	—	2	4	no	—
937	C₂×C₈	C₂×D₄×C₁₃	1	4	yes	complemented
938	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
939	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
940	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
941	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
942	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	4	no	—
946	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
947	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
948	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
949	C₂²⋊C₄	—	2	4	no	—
950	C₂²⋊C₄	—	2	1	no	—
951	C₂²⋊C₄	—	2	1	no	—
952	C₂²⋊C₄	—	2	4	no	—
953	C₂²⋊C₄	—	2	4	no	—
954	C₂²⋊C₄	—	2	4	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	4	no	—
958	C₂²⋊C₄	—	2	4	no	—
959	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
960	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
961	C₄²	—	2	1	no	—
962	C₄²	—	2	1	no	—
963	C₄²	—	2	2	no	—
964	C₄²	—	2	2	no	—
965	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
966	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
967	C₄²	C₂⁴×C₁₃	1	2	yes	—
968	C₁₃	#61082	1	1	yes	characteristic, direct product factor, Sylow
969	C₂³	—	2	1	no	—
970	C₂³	—	2	1	no	—
971	C₂³	—	2	2	no	—
972	C₂³	—	2	2	no	—
973	C₂³	—	2	2	no	—
974	C₂³	—	4	4	no	—
975	C₂³	—	4	4	no	—
976	C₂³	—	4	4	no	—
977	C₂³	—	4	2	no	—
978	C₂³	—	4	2	no	—
979	C₂³	—	4	2	no	—
980	C₂³	—	8	2	no	—
981	C₂³	—	8	2	no	—
982	C₂³	—	8	4	no	—
983	C₂³	—	8	4	no	—
984	C₂³	—	8	2	no	—
985	C₂³	—	8	4	no	—
986	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
987	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
988	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
989	Q₈	—	2	2	no	—
990	Q₈	—	2	2	no	—
991	Q₈	—	2	1	no	—
992	Q₈	—	2	1	no	—
993	Q₈	—	2	2	no	—
994	Q₈	—	2	2	no	—
995	Q₈	—	4	4	no	—
996	Q₈	—	4	2	no	—
997	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
998	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
999	D₄	—	2	4	no	—
1000	D₄	—	2	4	no	—
1001	D₄	—	2	4	no	—
1002	D₄	—	2	4	no	—
1003	D₄	—	2	2	no	—
1004	D₄	—	2	2	no	—
1005	D₄	—	2	2	no	—
1006	D₄	—	2	2	no	—
1007	D₄	—	2	2	no	—
1008	D₄	—	2	1	no	—
1009	D₄	—	2	1	no	—
1010	D₄	—	2	2	no	—
1011	D₄	—	2	2	no	—
1012	D₄	—	2	2	no	—
1013	D₄	—	4	4	no	—
1014	D₄	—	4	4	no	—
1015	D₄	—	4	4	no	—
1016	D₄	—	4	4	no	—
1017	D₄	—	4	4	no	—
1018	D₄	—	4	4	no	—
1019	D₄	—	4	4	no	—
1020	D₄	—	4	8	no	—
1021	D₄	—	4	4	no	—
1022	D₄	—	4	2	no	—
1023	D₄	—	4	2	no	—
1024	D₄	—	4	2	no	—
1025	D₄	—	8	4	no	—
1026	D₄	—	8	4	no	—
1027	D₄	—	8	4	no	—
1028	D₄	—	8	4	no	—
1029	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1030	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	4	no	—
1034	C₂×C₄	—	2	4	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	4	2	no	—
1043	C₂×C₄	—	4	4	no	—
1044	C₂×C₄	—	4	4	no	—
1045	C₂×C₄	—	4	4	no	—
1046	C₂×C₄	—	4	4	no	—
1047	C₂×C₄	—	4	4	no	—
1048	C₂×C₄	—	4	4	no	—
1049	C₂×C₄	—	4	2	no	—
1050	C₂×C₄	—	8	2	no	—
1051	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1052	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1053	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1054	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1055	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1056	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1057	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1058	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1059	C₈	—	2	2	no	—
1060	C₈	—	2	2	no	—
1061	C₈	—	2	2	no	—
1062	C₈	C₂²×D₄×C₁₃	1	2	yes	—
1063	C₈	C₂²×D₄×C₁₃	1	2	yes	—
1064	C₂²	—	2	2	no	—
1065	C₂²	—	2	4	no	—
1066	C₂²	—	2	4	no	—
1067	C₂²	—	2	2	no	—
1068	C₂²	—	2	2	no	—
1069	C₂²	—	2	2	no	—
1070	C₂²	—	2	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	4	no	—
1074	C₂²	—	4	4	no	—
1075	C₂²	—	4	4	no	—
1076	C₂²	—	4	2	no	—
1077	C₂²	—	4	2	no	—
1078	C₂²	—	4	2	no	—
1079	C₂²	—	16	2	no	—
1080	C₂²	—	16	2	no	—
1081	C₂²	—	16	2	no	—
1082	C₂²	—	16	4	no	—
1083	C₂²	—	16	4	no	—
1084	C₂²	—	16	4	no	—
1085	C₂²	D₄²×C₁₃	1	2	yes	—
1086	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1087	C₄	—	2	2	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	2	no	—
1091	C₄	—	2	2	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	4	2	no	—
1094	C₄	—	4	2	no	—
1095	C₄	—	4	2	no	—
1096	C₄	D₄²×C₁₃	1	2	yes	—
1097	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1098	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1099	C₂	—	2	2	no	—
1100	C₂	—	4	2	no	—
1101	C₂	—	4	2	no	—
1102	C₂	—	4	2	no	—
1103	C₂	—	4	2	no	—
1104	C₂	—	8	2	no	—
1105	C₂	—	8	2	no	—
1106	C₂	—	8	2	no	—
1107	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1108	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×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#577	C₂	semidirect
2. C₂×C₁₃×#576	C₂	semidirect
3. C₁₃×#3500	C₂	semidirect
4. C₁₃×#3498	C₂	semidirect
5. C₁₃×#3271	C₂	semidirect
6. C₁₃×#3268	C₂	semidirect
7. C₁₃×#3265	C₂	semidirect
8. C₁₃×#3264	C₂	semidirect
9. C₂×C₁₃×#496	C₂	semidirect
10. C₁₃×#3058	C₂	semidirect
11. C₁₃×#3057	C₂	semidirect
12. C₁₃×#3040	C₂	semidirect
13. C₁₃×#3038	C₂	semidirect
14. C₁₃×#3010	C₂	semidirect
15. C₁₃×#3009	C₂	semidirect
16. C₁₃×#3008	C₂	semidirect
17. C₁₃×#3008	C₂	semidirect
18. C₁₃×#2943	C₂	semidirect
19. C₁₃×#2932	C₂	semidirect
20. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
22. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
23. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
26. C₂×C₁₃×#137	C₂²	semidirect
27. 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
35. C₂×C₁₃×#135	C₂²	semidirect
36. C₂×C₁₃×#135	C₂²	semidirect
37. C₂²×C₁₃×SD₁₆	C₂²	semidirect
38. C₂²×C₁₃×SD₁₆	C₂²	semidirect
39. C₂²×C₁₃×SD₁₆	C₂²	semidirect
40. C₂²×C₁₃×D₈	C₂²	semidirect
41. C₂²×C₁₃×D₈	C₂²	semidirect
42. C₂²×C₁₃×D₈	C₂²	semidirect
43. C₂×C₁₃×#131	C₂²	semidirect
44. C₂×C₁₃×#131	C₂²	semidirect
45. C₁₃×#550	C₂²	semidirect
46. C₁₃×#548	C₂²	semidirect
48. C₁₃×#546	C₂²	semidirect
50. D₄²×C₁₃	C₂²	semidirect
52. C₁₃×#536	C₂²	semidirect
57. C₁₃×#535	C₂²	semidirect
58. C₁₃×#535	C₂²	semidirect
63. C₂×C₁₃×#127	C₂²	semidirect
65. C₂×C₁₃×#124	C₂²	semidirect
66. C₄×C₁₃×#41	C₂²	semidirect
67. C₄×C₁₃×#41	C₂²	semidirect
68. C₁₃×#496	C₂²	semidirect
69. C₁₃×#496	C₂²	semidirect
70. C₁₃×#469	C₂²	semidirect
71. C₁₃×#468	C₂²	semidirect
72. C₁₃×#466	C₂²	semidirect
73. C₁₃×#465	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×#442	C₂²	semidirect
87. C₁₃×#441	C₂²	semidirect
88. C₁₃×#440	C₂²	semidirect
89. C₁₃×#440	C₂²	semidirect
90. C₁₃×#435	C₂²	semidirect
91. C₁₃×#435	C₂²	semidirect
92. C₁₃×#427	C₂²	semidirect
93. C₁₃×#423	C₂²	semidirect
94. C₁₃×#419	C₂²	semidirect
95. C₁₃×#418	C₂²	semidirect
96. C₁₃×#418	C₂²	semidirect
97. C₁₃×#418	C₂²	semidirect
98. C₁₃×#416	C₂²	semidirect
99. C₁₃×#416	C₂²	semidirect
100. C₁₃×#408	C₂²	semidirect
101. C₁₃×#408	C₂²	semidirect
102. C₂×C₁₃×#97	C₂²	semidirect
151. C₁₃×#135	D₄	semidirect
258. #61082	C₁₃	direct (N × H)
285. C₁₃×#41	C₂×D₄	semidirect
360. C₁₃×Q₁₆	C₂×D₄	semidirect
368. C₁₃×SD₁₆	C₂×D₄	semidirect
369. C₁₃×SD₁₆	C₂×D₄	semidirect
376. C₁₃×D₈	C₂×D₄	semidirect
384. C₂×C₈×C₁₃	C₂×D₄	semidirect
415. C₂×#577	C₂×C₁₃	semidirect
416. C₂×#576	C₂×C₁₃	semidirect
417. #3500	C₂×C₁₃	semidirect
418. #3498	C₂×C₁₃	semidirect
419. #3271	C₂×C₁₃	semidirect
420. #3268	C₂×C₁₃	semidirect
421. #3265	C₂×C₁₃	semidirect
422. #3264	C₂×C₁₃	semidirect
423. C₂×#496	C₂×C₁₃	semidirect
424. #3058	C₂×C₁₃	semidirect
425. #3057	C₂×C₁₃	semidirect
426. #3040	C₂×C₁₃	semidirect
427. #3038	C₂×C₁₃	semidirect
428. #3010	C₂×C₁₃	semidirect
429. #3009	C₂×C₁₃	semidirect
430. #3008	C₂×C₁₃	semidirect
431. #3008	C₂×C₁₃	semidirect
432. #2943	C₂×C₁₃	semidirect
433. #2932	C₂×C₁₃	semidirect
529. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
531. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
532. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
535. C₂×#137	C₂²×C₁₃	semidirect
536. C₂×#137	C₂²×C₁₃	semidirect
538. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
539. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
540. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
541. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
542. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
544. C₂×#135	C₂²×C₁₃	semidirect
545. C₂×#135	C₂²×C₁₃	semidirect
546. C₂²×SD₁₆	C₂²×C₁₃	semidirect
547. C₂²×SD₁₆	C₂²×C₁₃	semidirect
548. C₂²×SD₁₆	C₂²×C₁₃	semidirect
549. C₂²×D₈	C₂²×C₁₃	semidirect
550. C₂²×D₈	C₂²×C₁₃	semidirect
551. C₂²×D₈	C₂²×C₁₃	semidirect
552. C₂×#131	C₂²×C₁₃	semidirect
553. C₂×#131	C₂²×C₁₃	semidirect
554. #550	C₂²×C₁₃	semidirect
555. #548	C₂²×C₁₃	semidirect
557. #546	C₂²×C₁₃	semidirect
559. D₄²	C₂²×C₁₃	semidirect
561. #536	C₂²×C₁₃	semidirect
566. #535	C₂²×C₁₃	semidirect
567. #535	C₂²×C₁₃	semidirect
572. C₂×#127	C₂²×C₁₃	semidirect
574. C₂×#124	C₂²×C₁₃	semidirect
575. C₄×#41	C₂²×C₁₃	semidirect
576. C₄×#41	C₂²×C₁₃	semidirect
577. #496	C₂²×C₁₃	semidirect
578. #496	C₂²×C₁₃	semidirect
579. #469	C₂²×C₁₃	semidirect
580. #468	C₂²×C₁₃	semidirect
581. #466	C₂²×C₁₃	semidirect
582. #465	C₂²×C₁₃	semidirect
583. #464	C₂²×C₁₃	semidirect
584. #463	C₂²×C₁₃	semidirect
585. #460	C₂²×C₁₃	semidirect
586. #459	C₂²×C₁₃	semidirect
587. #452	C₂²×C₁₃	semidirect
588. #450	C₂²×C₁₃	semidirect
589. #449	C₂²×C₁₃	semidirect
590. #449	C₂²×C₁₃	semidirect
591. #449	C₂²×C₁₃	semidirect
592. #448	C₂²×C₁₃	semidirect
593. #447	C₂²×C₁₃	semidirect
594. #447	C₂²×C₁₃	semidirect
595. #442	C₂²×C₁₃	semidirect
596. #441	C₂²×C₁₃	semidirect
597. #440	C₂²×C₁₃	semidirect
598. #440	C₂²×C₁₃	semidirect
599. #435	C₂²×C₁₃	semidirect
600. #435	C₂²×C₁₃	semidirect
601. #427	C₂²×C₁₃	semidirect
602. #423	C₂²×C₁₃	semidirect
603. #419	C₂²×C₁₃	semidirect
604. #418	C₂²×C₁₃	semidirect
605. #418	C₂²×C₁₃	semidirect
606. #418	C₂²×C₁₃	semidirect
607. #416	C₂²×C₁₃	semidirect
608. #416	C₂²×C₁₃	semidirect
609. #408	C₂²×C₁₃	semidirect
610. #408	C₂²×C₁₃	semidirect
611. C₂×#97	C₂²×C₁₃	semidirect
695. #135	D₄×C₁₃	semidirect
838. #41	C₂×D₄×C₁₃	semidirect
913. Q₁₆	C₂×D₄×C₁₃	semidirect
921. SD₁₆	C₂×D₄×C₁₃	semidirect
922. SD₁₆	C₂×D₄×C₁₃	semidirect
929. D₈	C₂×D₄×C₁₃	semidirect
937. C₂×C₈	C₂×D₄×C₁₃	semidirect
968. C₁₃	#61082	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
C₂×C₁₃×#576	2
C₁₃×#3500	2
C₁₃×#3498	2
C₁₃×#3271	2
C₁₃×#3268	2
C₁₃×#3265	2
C₁₃×#3264	2
C₂×C₁₃×#496	2
C₁₃×#3058	2
C₁₃×#3057	2
C₁₃×#3040	2
C₁₃×#3038	2
C₁₃×#3010	2
C₁₃×#3009	2
C₁₃×#3008	2
C₁₃×#2943	2
C₁₃×#2932	2
#61082	13

Subgroups — C13×#61082 #15747421

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61082 #15747421