Subgroups — C₁₃×#61083 #15747422

Order 3328.

2674 conjugacy classes of subgroups.

The subgroup lattice has 1074 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#578	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#577	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3270	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3269	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3267	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3266	C₂	1	4	yes	maximal, complemented
9	C₂×C₁₃×#497	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3059	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×#3039	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3011	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3011	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3009	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
21	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
24	C₁₃×#578	—	2	8	no	—
25	C₁₃×#577	—	2	8	no	—
26	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#137	C₂²	1	2	yes	—
29	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
30	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
32	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
34	C₂×C₁₃×#135	C₂²	1	2	yes	—
35	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
37	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
38	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
41	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
42	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
45	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
46	C₁₃×#548	C₂²	1	4	yes	—
47	C₁₃×#547	—	2	4	no	—
48	C₁₃×#547	C₂²	1	4	yes	complemented
49	C₁₃×#546	—	2	4	no	—
50	C₁₃×#546	C₂²	1	4	yes	—
51	C₁₃×#536	—	2	1	no	—
52	C₁₃×#536	—	2	1	no	—
53	C₁₃×#536	—	2	1	no	—
54	C₁₃×#536	C₂²	1	1	yes	characteristic
55	C₁₃×#536	C₂²	1	1	yes	characteristic
56	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#535	—	2	1	no	—
58	C₁₃×#535	C₂²	1	1	yes	characteristic
59	C₁₃×#532	—	2	1	no	—
60	C₁₃×#532	—	2	1	no	—
61	C₁₃×#532	C₂²	1	1	yes	characteristic
62	C₂×C₁₃×C₄⋊Q₈	—	2	1	no	—
63	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₁₃×#124	—	2	1	no	—
65	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
66	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
67	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#497	C₂²	1	4	yes	complemented
69	C₁₃×#497	C₂²	1	4	yes	complemented
70	C₁₃×#470	C₂²	1	4	yes	complemented
71	C₁₃×#468	C₂²	1	4	yes	complemented
72	C₁₃×#467	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×#462	C₂²	1	4	yes	complemented
77	C₁₃×#461	C₂²	1	4	yes	complemented
78	C₁₃×#452	C₂²	1	4	yes	—
79	C₁₃×#452	C₂²	1	4	yes	complemented
80	C₁₃×#452	C₂²	1	4	yes	complemented
81	C₁₃×#451	C₂²	1	4	yes	complemented
82	C₁₃×#451	C₂²	1	4	yes	complemented
83	C₁₃×#450	C₂²	1	4	yes	—
84	C₁₃×#449	C₂²	1	4	yes	complemented
85	C₁₃×#448	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×#419	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#418	C₂²	1	1	yes	characteristic
98	C₁₃×#416	C₂²	1	1	yes	characteristic
99	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#408	C₂²	1	1	yes	characteristic
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	—	2	4	no	—
105	C₁₃×2₋¹⁺⁴	—	2	4	no	—
106	C₁₃×2₋¹⁺⁴	—	4	2	no	—
107	C₁₃×2₋¹⁺⁴	—	4	2	no	—
108	C₁₃×2₋¹⁺⁴	—	4	2	no	—
109	C₁₃×H(5,𝔽₂)	—	2	4	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	—	2	2	no	—
117	C₂×C₁₃×#41	—	2	2	no	—
118	C₂×C₁₃×#41	C₂³	1	2	yes	—
119	C₂×C₁₃×#41	C₂³	1	2	yes	—
120	C₂×C₁₃×#41	C₂³	1	2	yes	—
121	C₂×C₁₃×#41	C₂³	1	2	yes	—
122	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
123	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
124	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
125	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
126	C₂²×Q₈×C₁₃	—	2	1	no	—
127	C₂²×Q₈×C₁₃	—	2	1	no	—
128	C₂²×Q₈×C₁₃	—	2	1	no	—
129	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
130	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
131	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
132	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
133	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
134	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₃	—	2	1	no	—
136	C₂²×D₄×C₁₃	—	2	2	no	—
137	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
139	C₁₃×#137	—	2	4	no	—
140	C₁₃×#137	—	2	4	no	—
141	C₁₃×#137	—	2	4	no	—
142	C₁₃×#137	—	2	8	no	—
143	C₁₃×#137	—	2	8	no	—
144	C₁₃×#137	—	2	8	no	—
145	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
146	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
147	C₁₃×#135	—	2	8	no	—
148	C₁₃×#135	—	2	8	no	—
149	C₁₃×#135	D₄	1	8	yes	complemented
150	C₂×C₁₃×Q₁₆	—	2	8	no	—
151	C₂×C₁₃×Q₁₆	—	2	4	no	—
152	C₂×C₁₃×Q₁₆	—	4	2	no	—
153	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
159	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×SD₁₆	—	2	8	no	—
161	C₂×C₁₃×SD₁₆	—	2	4	no	—
162	C₂×C₁₃×SD₁₆	—	4	2	no	—
163	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
164	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
165	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
166	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
167	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
168	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
169	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
170	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
171	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
172	C₂×C₁₃×D₈	C₂³	1	2	yes	—
173	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
174	C₁₃×#131	—	2	4	no	—
175	C₁₃×#131	—	2	4	no	—
176	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
177	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
178	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
179	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
180	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
181	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
182	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
183	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
184	C₁₃×C₄⋊Q₈	—	2	1	no	—
185	C₁₃×C₄⋊Q₈	—	2	1	no	—
186	C₁₃×C₄⋊Q₈	—	2	1	no	—
187	C₁₃×C₄⋊Q₈	—	2	4	no	—
188	C₁₃×C₄⋊Q₈	—	2	1	no	—
189	C₁₃×C₄⋊Q₈	—	2	1	no	—
190	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
191	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
192	C₁₃×#127	—	2	1	no	—
193	C₁₃×#127	D₄	1	1	yes	characteristic
194	C₁₃×#124	—	2	1	no	—
195	C₁₃×#124	—	2	1	no	—
196	C₁₃×#124	—	2	1	no	—
197	C₁₃×#124	—	2	1	no	—
198	C₁₃×#124	—	2	4	no	—
199	C₁₃×#124	—	2	1	no	—
200	C₁₃×#124	—	2	1	no	—
201	C₁₃×#124	D₄	1	1	yes	characteristic
202	C₁₃×#124	D₄	1	1	yes	characteristic
203	C₁₃×#124	C₂³	1	4	yes	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	—	2	2	no	—
206	C₁₃×#123	—	2	2	no	—
207	C₁₃×#123	—	2	4	no	—
208	C₁₃×#123	—	2	4	no	—
209	C₁₃×#123	—	2	4	no	—
210	C₁₃×C₂²⋊Q₈	—	2	4	no	—
211	C₁₃×C₂²⋊Q₈	—	2	4	no	—
212	C₁₃×C₂²⋊Q₈	—	2	4	no	—
213	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
214	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
215	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
216	C₁₃×#121	—	2	4	no	—
217	C₁₃×#121	—	2	4	no	—
218	C₁₃×#121	—	2	4	no	—
219	C₁₃×#121	D₄	1	4	yes	—
220	C₁₃×#121	C₂³	1	4	yes	—
221	C₁₃×#120	—	2	4	no	—
222	C₁₃×#120	—	2	2	no	—
223	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
224	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
225	C₄×D₄×C₁₃	—	2	4	no	—
226	C₄×D₄×C₁₃	—	2	2	no	—
227	C₄×D₄×C₁₃	—	2	2	no	—
228	C₄×D₄×C₁₃	—	2	4	no	—
229	C₄×D₄×C₁₃	C₂³	1	2	yes	—
230	C₄×D₄×C₁₃	C₂³	1	2	yes	—
231	C₄×D₄×C₁₃	C₂³	1	4	yes	—
232	C₁₃×#117	—	2	1	no	—
233	C₁₃×#117	—	2	1	no	—
234	C₁₃×#117	C₂³	1	1	yes	characteristic
235	C₁₃×#117	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
237	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
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×#103	C₂³	1	4	yes	—
250	C₁₃×#103	C₂³	1	4	yes	—
251	C₁₃×#102	C₂³	1	2	yes	—
252	C₁₃×#102	C₂³	1	2	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	#61083	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
259	C₂⁴×C₁₃	—	2	2	no	—
260	C₂⁴×C₁₃	—	2	1	no	—
261	C₁₃×#41	—	2	2	no	—
262	C₁₃×#41	—	2	2	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	—	2	4	no	—
268	C₁₃×#41	—	2	4	no	—
269	C₁₃×#41	—	2	4	no	—
270	C₁₃×#41	—	2	4	no	—
271	C₁₃×#41	—	4	2	no	—
272	C₁₃×#41	—	4	2	no	—
273	C₁₃×#41	—	4	2	no	—
274	C₁₃×#41	—	4	2	no	—
275	C₁₃×#41	—	4	4	no	—
276	C₁₃×#41	—	4	4	no	—
277	C₁₃×#41	—	4	4	no	—
278	C₁₃×#41	—	4	4	no	—
279	C₁₃×#41	—	4	8	no	—
280	C₁₃×#41	—	4	8	no	—
281	C₁₃×#41	—	4	8	no	—
282	C₁₃×#41	C₂×D₄	1	4	yes	—
283	C₁₃×#41	C₂×D₄	1	4	yes	—
284	C₂×Q₈×C₁₃	—	2	2	no	—
285	C₂×Q₈×C₁₃	—	2	2	no	—
286	C₂×Q₈×C₁₃	—	2	2	no	—
287	C₂×Q₈×C₁₃	—	2	1	no	—
288	C₂×Q₈×C₁₃	—	2	1	no	—
289	C₂×Q₈×C₁₃	—	2	1	no	—
290	C₂×Q₈×C₁₃	—	2	4	no	—
291	C₂×Q₈×C₁₃	—	2	4	no	—
292	C₂×Q₈×C₁₃	—	2	4	no	—
293	C₂×Q₈×C₁₃	—	2	2	no	—
294	C₂×Q₈×C₁₃	—	2	2	no	—
295	C₂×Q₈×C₁₃	—	2	2	no	—
296	C₂×Q₈×C₁₃	—	2	2	no	—
297	C₂×Q₈×C₁₃	—	2	2	no	—
298	C₂×Q₈×C₁₃	—	2	2	no	—
299	C₂×Q₈×C₁₃	—	4	2	no	—
300	C₂×Q₈×C₁₃	—	4	2	no	—
301	C₂×Q₈×C₁₃	—	4	2	no	—
302	C₂×Q₈×C₁₃	—	4	4	no	—
303	C₂×Q₈×C₁₃	—	4	4	no	—
304	C₂×Q₈×C₁₃	—	4	4	no	—
305	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
306	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
307	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
308	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
309	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
310	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
311	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
312	C₂×D₄×C₁₃	—	2	1	no	—
313	C₂×D₄×C₁₃	—	2	1	no	—
314	C₂×D₄×C₁₃	—	2	4	no	—
315	C₂×D₄×C₁₃	—	2	2	no	—
316	C₂×D₄×C₁₃	—	2	2	no	—
317	C₂×D₄×C₁₃	—	2	2	no	—
318	C₂×D₄×C₁₃	—	2	2	no	—
319	C₂×D₄×C₁₃	—	2	4	no	—
320	C₂×D₄×C₁₃	—	2	2	no	—
321	C₂×D₄×C₁₃	—	2	2	no	—
322	C₂×D₄×C₁₃	—	2	1	no	—
323	C₂×D₄×C₁₃	—	2	2	no	—
324	C₂×D₄×C₁₃	—	4	2	no	—
325	C₂×D₄×C₁₃	—	4	4	no	—
326	C₂×D₄×C₁₃	—	4	8	no	—
327	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
328	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
329	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
330	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
331	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
332	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
333	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃	—	2	1	no	—
336	C₂²×C₄×C₁₃	—	2	1	no	—
337	C₂²×C₄×C₁₃	—	2	1	no	—
338	C₂²×C₄×C₁₃	—	2	1	no	—
339	C₂²×C₄×C₁₃	—	2	1	no	—
340	C₂²×C₄×C₁₃	—	2	2	no	—
341	C₂²×C₄×C₁₃	—	2	2	no	—
342	C₂²×C₄×C₁₃	—	2	2	no	—
343	C₂²×C₄×C₁₃	—	2	2	no	—
344	C₂²×C₄×C₁₃	—	2	2	no	—
345	C₂²×C₄×C₁₃	—	2	2	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	2	2	no	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
350	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
351	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
352	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₁₃×Q₁₆	—	2	4	no	—
354	C₁₃×Q₁₆	—	2	4	no	—
355	C₁₃×Q₁₆	—	2	4	no	—
356	C₁₃×Q₁₆	—	2	4	no	—
357	C₁₃×Q₁₆	—	2	4	no	—
358	C₁₃×Q₁₆	—	4	4	no	—
359	C₁₃×Q₁₆	C₂×D₄	1	4	yes	—
360	C₁₃×SD₁₆	—	2	4	no	—
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	—	4	4	no	—
367	C₁₃×SD₁₆	C₂×D₄	1	4	yes	—
368	C₁₃×SD₁₆	C₂×D₄	1	4	yes	—
369	C₁₃×D₈	—	2	4	no	—
370	C₁₃×D₈	C₂×D₄	1	4	yes	—
371	C₁₃×M₁₆	—	2	2	no	—
372	C₁₃×M₁₆	—	2	2	no	—
373	C₁₃×M₁₆	—	2	4	no	—
374	C₁₃×M₁₆	—	2	4	no	—
375	C₂×C₈×C₁₃	—	2	2	no	—
376	C₂×C₈×C₁₃	—	2	4	no	—
377	C₂×C₈×C₁₃	—	2	4	no	—
378	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	—
379	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
380	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
381	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
382	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₁₃×C₄⋊C₄	—	2	4	no	—
385	C₁₃×C₄⋊C₄	—	2	4	no	—
386	C₁₃×C₄⋊C₄	—	2	4	no	—
387	C₁₃×C₄⋊C₄	—	2	4	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	4	no	—
391	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
392	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
393	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
394	C₁₃×C₂²⋊C₄	—	2	4	no	—
395	C₁₃×C₂²⋊C₄	—	2	1	no	—
396	C₁₃×C₂²⋊C₄	—	2	1	no	—
397	C₁₃×C₂²⋊C₄	—	2	4	no	—
398	C₁₃×C₂²⋊C₄	—	2	4	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	C₂×D₄	1	4	yes	—
405	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
406	C₄²×C₁₃	—	2	1	no	—
407	C₄²×C₁₃	—	2	1	no	—
408	C₄²×C₁₃	—	2	2	no	—
409	C₄²×C₁₃	—	2	2	no	—
410	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
411	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
412	C₄²×C₁₃	C₂⁴	1	2	yes	—
413	C₂×#578	C₂×C₁₃	1	1	yes	characteristic, complemented
414	C₂×#577	C₂×C₁₃	1	1	yes	characteristic, complemented
415	#3500	C₂×C₁₃	1	1	yes	characteristic, complemented
416	#3499	C₂×C₁₃	1	1	yes	characteristic, complemented
417	#3270	C₂×C₁₃	1	4	yes	complemented
418	#3269	C₂×C₁₃	1	4	yes	complemented
419	#3267	C₂×C₁₃	1	4	yes	complemented
420	#3266	C₂×C₁₃	1	4	yes	complemented
421	C₂×#497	C₂×C₁₃	1	1	yes	characteristic, complemented
422	#3059	C₂×C₁₃	1	1	yes	characteristic, complemented
423	#3057	C₂×C₁₃	1	1	yes	characteristic, complemented
424	#3040	C₂×C₁₃	1	1	yes	characteristic, complemented
425	#3039	C₂×C₁₃	1	1	yes	characteristic, complemented
426	#3011	C₂×C₁₃	1	1	yes	characteristic, complemented
427	#3011	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	#2943	C₂×C₁₃	1	1	yes	characteristic, complemented
431	#2932	C₂×C₁₃	1	1	yes	characteristic, complemented
432	C₂³×C₁₃	—	2	1	no	—
433	C₂³×C₁₃	—	2	1	no	—
434	C₂³×C₁₃	—	2	2	no	—
435	C₂³×C₁₃	—	4	4	no	—
436	C₂³×C₁₃	—	4	2	no	—
437	C₂³×C₁₃	—	8	2	no	—
438	C₂³×C₁₃	—	8	4	no	—
439	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
440	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
441	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
442	Q₈×C₁₃	—	2	2	no	—
443	Q₈×C₁₃	—	2	2	no	—
444	Q₈×C₁₃	—	2	1	no	—
445	Q₈×C₁₃	—	2	1	no	—
446	Q₈×C₁₃	—	2	2	no	—
447	Q₈×C₁₃	—	2	2	no	—
448	Q₈×C₁₃	—	2	2	no	—
449	Q₈×C₁₃	—	2	2	no	—
450	Q₈×C₁₃	—	2	2	no	—
451	Q₈×C₁₃	—	2	2	no	—
452	Q₈×C₁₃	—	4	4	no	—
453	Q₈×C₁₃	—	4	4	no	—
454	Q₈×C₁₃	—	4	4	no	—
455	Q₈×C₁₃	—	4	2	no	—
456	Q₈×C₁₃	—	4	2	no	—
457	Q₈×C₁₃	—	4	2	no	—
458	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
459	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
460	D₄×C₁₃	—	2	4	no	—
461	D₄×C₁₃	—	2	4	no	—
462	D₄×C₁₃	—	2	4	no	—
463	D₄×C₁₃	—	2	4	no	—
464	D₄×C₁₃	—	2	2	no	—
465	D₄×C₁₃	—	2	2	no	—
466	D₄×C₁₃	—	2	2	no	—
467	D₄×C₁₃	—	2	1	no	—
468	D₄×C₁₃	—	2	1	no	—
469	D₄×C₁₃	—	2	2	no	—
470	D₄×C₁₃	—	4	4	no	—
471	D₄×C₁₃	—	4	4	no	—
472	D₄×C₁₃	—	4	4	no	—
473	D₄×C₁₃	—	4	4	no	—
474	D₄×C₁₃	—	4	4	no	—
475	D₄×C₁₃	—	4	4	no	—
476	D₄×C₁₃	—	4	2	no	—
477	D₄×C₁₃	—	8	4	no	—
478	D₄×C₁₃	C₂²×D₄	1	2	yes	—
479	D₄×C₁₃	C₂²×D₄	1	2	yes	—
480	C₂×C₄×C₁₃	—	2	1	no	—
481	C₂×C₄×C₁₃	—	2	1	no	—
482	C₂×C₄×C₁₃	—	2	4	no	—
483	C₂×C₄×C₁₃	—	2	4	no	—
484	C₂×C₄×C₁₃	—	2	2	no	—
485	C₂×C₄×C₁₃	—	2	2	no	—
486	C₂×C₄×C₁₃	—	2	2	no	—
487	C₂×C₄×C₁₃	—	2	2	no	—
488	C₂×C₄×C₁₃	—	2	2	no	—
489	C₂×C₄×C₁₃	—	2	2	no	—
490	C₂×C₄×C₁₃	—	2	2	no	—
491	C₂×C₄×C₁₃	—	2	2	no	—
492	C₂×C₄×C₁₃	—	2	2	no	—
493	C₂×C₄×C₁₃	—	4	2	no	—
494	C₂×C₄×C₁₃	—	4	4	no	—
495	C₂×C₄×C₁₃	—	4	4	no	—
496	C₂×C₄×C₁₃	—	4	4	no	—
497	C₂×C₄×C₁₃	—	4	4	no	—
498	C₂×C₄×C₁₃	—	4	4	no	—
499	C₂×C₄×C₁₃	—	4	4	no	—
500	C₂×C₄×C₁₃	—	4	4	no	—
501	C₂×C₄×C₁₃	—	4	4	no	—
502	C₂×C₄×C₁₃	—	4	2	no	—
503	C₂×C₄×C₁₃	—	4	2	no	—
504	C₂×C₄×C₁₃	—	4	2	no	—
505	C₂×C₄×C₁₃	—	8	2	no	—
506	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
507	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
508	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
509	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
510	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
512	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
513	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
514	C₈×C₁₃	—	2	2	no	—
515	C₈×C₁₃	—	2	2	no	—
516	C₈×C₁₃	—	2	2	no	—
517	C₈×C₁₃	C₂²×D₄	1	2	yes	—
518	C₈×C₁₃	C₂²×D₄	1	2	yes	—
519	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
520	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
521	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
522	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
523	#578	—	2	8	no	—
524	#577	—	2	8	no	—
525	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
526	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
527	C₂×#137	C₂²×C₁₃	1	2	yes	—
528	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
529	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
530	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
531	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
532	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
533	C₂×#135	C₂²×C₁₃	1	2	yes	—
534	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
535	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
536	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
537	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
538	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
539	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
540	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
541	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
542	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
543	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
544	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
545	#548	C₂²×C₁₃	1	4	yes	—
546	#547	—	2	4	no	—
547	#547	C₂²×C₁₃	1	4	yes	complemented
548	#546	—	2	4	no	—
549	#546	C₂²×C₁₃	1	4	yes	—
550	#536	—	2	1	no	—
551	#536	—	2	1	no	—
552	#536	—	2	1	no	—
553	#536	C₂²×C₁₃	1	1	yes	characteristic
554	#536	C₂²×C₁₃	1	1	yes	characteristic
555	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
556	#535	—	2	1	no	—
557	#535	C₂²×C₁₃	1	1	yes	characteristic
558	#532	—	2	1	no	—
559	#532	—	2	1	no	—
560	#532	C₂²×C₁₃	1	1	yes	characteristic
561	C₂×C₄⋊Q₈	—	2	1	no	—
562	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
563	C₂×#124	—	2	1	no	—
564	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
565	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
566	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
567	#497	C₂²×C₁₃	1	4	yes	complemented
568	#497	C₂²×C₁₃	1	4	yes	complemented
569	#470	C₂²×C₁₃	1	4	yes	complemented
570	#468	C₂²×C₁₃	1	4	yes	complemented
571	#467	C₂²×C₁₃	1	4	yes	complemented
572	#465	C₂²×C₁₃	1	4	yes	complemented
573	#464	C₂²×C₁₃	1	4	yes	complemented
574	#463	C₂²×C₁₃	1	4	yes	complemented
575	#462	C₂²×C₁₃	1	4	yes	complemented
576	#461	C₂²×C₁₃	1	4	yes	complemented
577	#452	C₂²×C₁₃	1	4	yes	—
578	#452	C₂²×C₁₃	1	4	yes	complemented
579	#452	C₂²×C₁₃	1	4	yes	complemented
580	#451	C₂²×C₁₃	1	4	yes	complemented
581	#451	C₂²×C₁₃	1	4	yes	complemented
582	#450	C₂²×C₁₃	1	4	yes	—
583	#449	C₂²×C₁₃	1	4	yes	complemented
584	#448	C₂²×C₁₃	1	4	yes	complemented
585	#442	C₂²×C₁₃	1	2	yes	complemented
586	#441	C₂²×C₁₃	1	2	yes	complemented
587	#440	C₂²×C₁₃	1	2	yes	complemented
588	#440	C₂²×C₁₃	1	2	yes	complemented
589	#435	C₂²×C₁₃	1	4	yes	complemented
590	#435	C₂²×C₁₃	1	4	yes	complemented
591	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
592	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
593	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	#418	C₂²×C₁₃	1	1	yes	characteristic
597	#416	C₂²×C₁₃	1	1	yes	characteristic
598	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
599	#408	C₂²×C₁₃	1	1	yes	characteristic
600	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	C₂²×C₁₃	—	2	2	no	—
603	C₂²×C₁₃	—	2	4	no	—
604	C₂²×C₁₃	—	2	4	no	—
605	C₂²×C₁₃	—	2	2	no	—
606	C₂²×C₁₃	—	2	2	no	—
607	C₂²×C₁₃	—	2	2	no	—
608	C₂²×C₁₃	—	2	2	no	—
609	C₂²×C₁₃	—	4	2	no	—
610	C₂²×C₁₃	—	4	2	no	—
611	C₂²×C₁₃	—	4	4	no	—
612	C₂²×C₁₃	—	4	2	no	—
613	C₂²×C₁₃	—	16	2	no	—
614	C₂²×C₁₃	—	16	4	no	—
615	C₂²×C₁₃	D₄²	1	2	yes	—
616	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
617	C₄×C₁₃	—	2	2	no	—
618	C₄×C₁₃	—	2	2	no	—
619	C₄×C₁₃	—	2	2	no	—
620	C₄×C₁₃	—	2	2	no	—
621	C₄×C₁₃	—	2	2	no	—
622	C₄×C₁₃	—	2	2	no	—
623	C₄×C₁₃	—	4	2	no	—
624	C₄×C₁₃	—	4	2	no	—
625	C₄×C₁₃	—	4	2	no	—
626	C₄×C₁₃	—	4	2	no	—
627	C₄×C₁₃	—	4	2	no	—
628	C₄×C₁₃	D₄²	1	2	yes	—
629	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
630	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
631	2₋¹⁺⁴	—	2	4	no	—
632	2₋¹⁺⁴	—	2	4	no	—
633	2₋¹⁺⁴	—	2	4	no	—
634	2₋¹⁺⁴	—	4	2	no	—
635	2₋¹⁺⁴	—	4	2	no	—
636	2₋¹⁺⁴	—	4	2	no	—
637	H(5,𝔽₂)	—	2	4	no	—
638	H(5,𝔽₂)	—	4	2	no	—
639	C₂×#41	—	2	1	no	—
640	C₂×#41	—	2	1	no	—
641	C₂×#41	—	2	1	no	—
642	C₂×#41	—	2	1	no	—
643	C₂×#41	—	2	2	no	—
644	C₂×#41	—	2	2	no	—
645	C₂×#41	—	2	2	no	—
646	C₂×#41	C₂³×C₁₃	1	2	yes	—
647	C₂×#41	C₂³×C₁₃	1	2	yes	—
648	C₂×#41	C₂³×C₁₃	1	2	yes	—
649	C₂×#41	C₂³×C₁₃	1	2	yes	—
650	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
651	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
652	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
653	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
654	C₂²×Q₈	—	2	1	no	—
655	C₂²×Q₈	—	2	1	no	—
656	C₂²×Q₈	—	2	1	no	—
657	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
658	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
659	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
660	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
661	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
662	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
663	C₂²×D₄	—	2	1	no	—
664	C₂²×D₄	—	2	2	no	—
665	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
666	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
667	#137	—	2	4	no	—
668	#137	—	2	4	no	—
669	#137	—	2	4	no	—
670	#137	—	2	8	no	—
671	#137	—	2	8	no	—
672	#137	—	2	8	no	—
673	AGL(1,ℤ/8)	—	2	4	no	—
674	AGL(1,ℤ/8)	—	2	8	no	—
675	#135	—	2	8	no	—
676	#135	—	2	8	no	—
677	#135	D₄×C₁₃	1	8	yes	complemented
678	C₂×Q₁₆	—	2	8	no	—
679	C₂×Q₁₆	—	2	4	no	—
680	C₂×Q₁₆	—	4	2	no	—
681	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
682	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
683	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
684	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
685	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
686	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
687	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
688	C₂×SD₁₆	—	2	8	no	—
689	C₂×SD₁₆	—	2	4	no	—
690	C₂×SD₁₆	—	4	2	no	—
691	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
692	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
693	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
694	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
695	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
696	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
697	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
698	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
699	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
700	C₂×D₈	C₂³×C₁₃	1	2	yes	—
701	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
702	#131	—	2	4	no	—
703	#131	—	2	4	no	—
704	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
706	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
707	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
708	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
709	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
710	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
711	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
712	C₄⋊Q₈	—	2	1	no	—
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	—	2	1	no	—
715	C₄⋊Q₈	—	2	4	no	—
716	C₄⋊Q₈	—	2	1	no	—
717	C₄⋊Q₈	—	2	1	no	—
718	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
719	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
720	#127	—	2	1	no	—
721	#127	D₄×C₁₃	1	1	yes	characteristic
722	#124	—	2	1	no	—
723	#124	—	2	1	no	—
724	#124	—	2	1	no	—
725	#124	—	2	1	no	—
726	#124	—	2	4	no	—
727	#124	—	2	1	no	—
728	#124	—	2	1	no	—
729	#124	D₄×C₁₃	1	1	yes	characteristic
730	#124	D₄×C₁₃	1	1	yes	characteristic
731	#124	C₂³×C₁₃	1	4	yes	—
732	#123	—	2	2	no	—
733	#123	—	2	2	no	—
734	#123	—	2	2	no	—
735	#123	—	2	4	no	—
736	#123	—	2	4	no	—
737	#123	—	2	4	no	—
738	C₂²⋊Q₈	—	2	4	no	—
739	C₂²⋊Q₈	—	2	4	no	—
740	C₂²⋊Q₈	—	2	4	no	—
741	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
742	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
743	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
744	#121	—	2	4	no	—
745	#121	—	2	4	no	—
746	#121	—	2	4	no	—
747	#121	D₄×C₁₃	1	4	yes	—
748	#121	C₂³×C₁₃	1	4	yes	—
749	#120	—	2	4	no	—
750	#120	—	2	2	no	—
751	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
752	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
753	C₄×D₄	—	2	4	no	—
754	C₄×D₄	—	2	2	no	—
755	C₄×D₄	—	2	2	no	—
756	C₄×D₄	—	2	4	no	—
757	C₄×D₄	C₂³×C₁₃	1	2	yes	—
758	C₄×D₄	C₂³×C₁₃	1	2	yes	—
759	C₄×D₄	C₂³×C₁₃	1	4	yes	—
760	#117	—	2	1	no	—
761	#117	—	2	1	no	—
762	#117	C₂³×C₁₃	1	1	yes	characteristic
763	#117	C₂³×C₁₃	1	1	yes	characteristic
764	C₂×C₄⋊C₄	—	2	2	no	—
765	C₂×C₄⋊C₄	—	2	4	no	—
766	C₂×C₂²⋊C₄	—	2	2	no	—
767	C₂×C₂²⋊C₄	—	2	4	no	—
768	C₂×C₄²	—	2	1	no	—
769	C₂×C₄²	—	2	1	no	—
770	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
771	#107	C₂³×C₁₃	1	2	yes	—
772	#106	C₂³×C₁₃	1	2	yes	—
773	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
774	#103	C₂³×C₁₃	1	2	yes	—
775	#103	C₂³×C₁₃	1	2	yes	—
776	#103	C₂³×C₁₃	1	4	yes	—
777	#103	C₂³×C₁₃	1	4	yes	—
778	#103	C₂³×C₁₃	1	4	yes	—
779	#102	C₂³×C₁₃	1	2	yes	—
780	#102	C₂³×C₁₃	1	2	yes	—
781	#102	C₂³×C₁₃	1	4	yes	—
782	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
783	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
784	#97	C₂³×C₁₃	1	2	yes	—
785	#97	C₂³×C₁₃	1	2	yes	—
786	C₂×C₁₃	—	2	2	no	—
787	C₂×C₁₃	—	4	2	no	—
788	C₂×C₁₃	—	4	2	no	—
789	C₂×C₁₃	—	4	2	no	—
790	C₂×C₁₃	—	4	2	no	—
791	C₂×C₁₃	—	8	2	no	—
792	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
793	C₂×C₁₃	#3586	1	2	yes	—
794	C₂⁴	—	2	2	no	—
795	C₂⁴	—	2	1	no	—
796	#41	—	2	2	no	—
797	#41	—	2	2	no	—
798	#41	—	2	2	no	—
799	#41	—	2	2	no	—
800	#41	—	2	2	no	—
801	#41	—	2	2	no	—
802	#41	—	2	4	no	—
803	#41	—	2	4	no	—
804	#41	—	2	4	no	—
805	#41	—	2	4	no	—
806	#41	—	4	2	no	—
807	#41	—	4	2	no	—
808	#41	—	4	2	no	—
809	#41	—	4	2	no	—
810	#41	—	4	4	no	—
811	#41	—	4	4	no	—
812	#41	—	4	4	no	—
813	#41	—	4	4	no	—
814	#41	—	4	8	no	—
815	#41	—	4	8	no	—
816	#41	—	4	8	no	—
817	#41	C₂×D₄×C₁₃	1	4	yes	—
818	#41	C₂×D₄×C₁₃	1	4	yes	—
819	C₂×Q₈	—	2	2	no	—
820	C₂×Q₈	—	2	2	no	—
821	C₂×Q₈	—	2	2	no	—
822	C₂×Q₈	—	2	1	no	—
823	C₂×Q₈	—	2	1	no	—
824	C₂×Q₈	—	2	1	no	—
825	C₂×Q₈	—	2	4	no	—
826	C₂×Q₈	—	2	4	no	—
827	C₂×Q₈	—	2	4	no	—
828	C₂×Q₈	—	2	2	no	—
829	C₂×Q₈	—	2	2	no	—
830	C₂×Q₈	—	2	2	no	—
831	C₂×Q₈	—	2	2	no	—
832	C₂×Q₈	—	2	2	no	—
833	C₂×Q₈	—	2	2	no	—
834	C₂×Q₈	—	4	2	no	—
835	C₂×Q₈	—	4	2	no	—
836	C₂×Q₈	—	4	2	no	—
837	C₂×Q₈	—	4	4	no	—
838	C₂×Q₈	—	4	4	no	—
839	C₂×Q₈	—	4	4	no	—
840	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
841	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
842	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
843	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
844	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
845	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
846	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
847	C₂×D₄	—	2	1	no	—
848	C₂×D₄	—	2	1	no	—
849	C₂×D₄	—	2	4	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	2	no	—
852	C₂×D₄	—	2	2	no	—
853	C₂×D₄	—	2	2	no	—
854	C₂×D₄	—	2	4	no	—
855	C₂×D₄	—	2	2	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	1	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	4	2	no	—
860	C₂×D₄	—	4	4	no	—
861	C₂×D₄	—	4	8	no	—
862	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
863	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
864	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
865	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
866	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
867	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
868	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
869	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
870	C₂²×C₄	—	2	1	no	—
871	C₂²×C₄	—	2	1	no	—
872	C₂²×C₄	—	2	1	no	—
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	2	no	—
876	C₂²×C₄	—	2	2	no	—
877	C₂²×C₄	—	2	2	no	—
878	C₂²×C₄	—	2	2	no	—
879	C₂²×C₄	—	2	2	no	—
880	C₂²×C₄	—	2	2	no	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	2	2	no	—
883	C₂²×C₄	—	2	2	no	—
884	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
885	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
886	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
887	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
888	Q₁₆	—	2	4	no	—
889	Q₁₆	—	2	4	no	—
890	Q₁₆	—	2	4	no	—
891	Q₁₆	—	2	4	no	—
892	Q₁₆	—	2	4	no	—
893	Q₁₆	—	4	4	no	—
894	Q₁₆	C₂×D₄×C₁₃	1	4	yes	—
895	SD₁₆	—	2	4	no	—
896	SD₁₆	—	2	4	no	—
897	SD₁₆	—	2	4	no	—
898	SD₁₆	—	2	4	no	—
899	SD₁₆	—	2	4	no	—
900	SD₁₆	—	2	4	no	—
901	SD₁₆	—	4	4	no	—
902	SD₁₆	C₂×D₄×C₁₃	1	4	yes	—
903	SD₁₆	C₂×D₄×C₁₃	1	4	yes	—
904	D₈	—	2	4	no	—
905	D₈	C₂×D₄×C₁₃	1	4	yes	—
906	M₁₆	—	2	2	no	—
907	M₁₆	—	2	2	no	—
908	M₁₆	—	2	4	no	—
909	M₁₆	—	2	4	no	—
910	C₂×C₈	—	2	2	no	—
911	C₂×C₈	—	2	4	no	—
912	C₂×C₈	—	2	4	no	—
913	C₂×C₈	C₂×D₄×C₁₃	1	4	yes	—
914	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
915	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
916	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
917	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
918	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
919	C₄⋊C₄	—	2	4	no	—
920	C₄⋊C₄	—	2	4	no	—
921	C₄⋊C₄	—	2	4	no	—
922	C₄⋊C₄	—	2	4	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	4	no	—
926	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
927	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
928	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
929	C₂²⋊C₄	—	2	4	no	—
930	C₂²⋊C₄	—	2	1	no	—
931	C₂²⋊C₄	—	2	1	no	—
932	C₂²⋊C₄	—	2	4	no	—
933	C₂²⋊C₄	—	2	4	no	—
934	C₂²⋊C₄	—	2	4	no	—
935	C₂²⋊C₄	—	2	4	no	—
936	C₂²⋊C₄	—	2	4	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
940	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
941	C₄²	—	2	1	no	—
942	C₄²	—	2	1	no	—
943	C₄²	—	2	2	no	—
944	C₄²	—	2	2	no	—
945	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
946	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
947	C₄²	C₂⁴×C₁₃	1	2	yes	—
948	C₁₃	#61083	1	1	yes	characteristic, direct product factor, Sylow
949	C₂³	—	2	1	no	—
950	C₂³	—	2	1	no	—
951	C₂³	—	2	2	no	—
952	C₂³	—	4	4	no	—
953	C₂³	—	4	2	no	—
954	C₂³	—	8	2	no	—
955	C₂³	—	8	4	no	—
956	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
957	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
958	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
959	Q₈	—	2	2	no	—
960	Q₈	—	2	2	no	—
961	Q₈	—	2	1	no	—
962	Q₈	—	2	1	no	—
963	Q₈	—	2	2	no	—
964	Q₈	—	2	2	no	—
965	Q₈	—	2	2	no	—
966	Q₈	—	2	2	no	—
967	Q₈	—	2	2	no	—
968	Q₈	—	2	2	no	—
969	Q₈	—	4	4	no	—
970	Q₈	—	4	4	no	—
971	Q₈	—	4	4	no	—
972	Q₈	—	4	2	no	—
973	Q₈	—	4	2	no	—
974	Q₈	—	4	2	no	—
975	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
976	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
977	D₄	—	2	4	no	—
978	D₄	—	2	4	no	—
979	D₄	—	2	4	no	—
980	D₄	—	2	4	no	—
981	D₄	—	2	2	no	—
982	D₄	—	2	2	no	—
983	D₄	—	2	2	no	—
984	D₄	—	2	1	no	—
985	D₄	—	2	1	no	—
986	D₄	—	2	2	no	—
987	D₄	—	4	4	no	—
988	D₄	—	4	4	no	—
989	D₄	—	4	4	no	—
990	D₄	—	4	4	no	—
991	D₄	—	4	4	no	—
992	D₄	—	4	4	no	—
993	D₄	—	4	2	no	—
994	D₄	—	8	4	no	—
995	D₄	C₂²×D₄×C₁₃	1	2	yes	—
996	D₄	C₂²×D₄×C₁₃	1	2	yes	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	4	no	—
1000	C₂×C₄	—	2	4	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	4	2	no	—
1011	C₂×C₄	—	4	4	no	—
1012	C₂×C₄	—	4	4	no	—
1013	C₂×C₄	—	4	4	no	—
1014	C₂×C₄	—	4	4	no	—
1015	C₂×C₄	—	4	4	no	—
1016	C₂×C₄	—	4	4	no	—
1017	C₂×C₄	—	4	4	no	—
1018	C₂×C₄	—	4	4	no	—
1019	C₂×C₄	—	4	2	no	—
1020	C₂×C₄	—	4	2	no	—
1021	C₂×C₄	—	4	2	no	—
1022	C₂×C₄	—	8	2	no	—
1023	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1024	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1025	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1026	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1027	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1028	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1029	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1030	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1031	C₈	—	2	2	no	—
1032	C₈	—	2	2	no	—
1033	C₈	—	2	2	no	—
1034	C₈	C₂²×D₄×C₁₃	1	2	yes	—
1035	C₈	C₂²×D₄×C₁₃	1	2	yes	—
1036	C₂²	—	2	2	no	—
1037	C₂²	—	2	4	no	—
1038	C₂²	—	2	4	no	—
1039	C₂²	—	2	2	no	—
1040	C₂²	—	2	2	no	—
1041	C₂²	—	2	2	no	—
1042	C₂²	—	2	2	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	4	2	no	—
1045	C₂²	—	4	4	no	—
1046	C₂²	—	4	2	no	—
1047	C₂²	—	16	2	no	—
1048	C₂²	—	16	4	no	—
1049	C₂²	D₄²×C₁₃	1	2	yes	—
1050	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1051	C₄	—	2	2	no	—
1052	C₄	—	2	2	no	—
1053	C₄	—	2	2	no	—
1054	C₄	—	2	2	no	—
1055	C₄	—	2	2	no	—
1056	C₄	—	2	2	no	—
1057	C₄	—	4	2	no	—
1058	C₄	—	4	2	no	—
1059	C₄	—	4	2	no	—
1060	C₄	—	4	2	no	—
1061	C₄	—	4	2	no	—
1062	C₄	D₄²×C₁₃	1	2	yes	—
1063	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1064	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1065	C₂	—	2	2	no	—
1066	C₂	—	4	2	no	—
1067	C₂	—	4	2	no	—
1068	C₂	—	4	2	no	—
1069	C₂	—	4	2	no	—
1070	C₂	—	8	2	no	—
1071	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1072	C₂	C₁₃×#3586	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×#578	C₂	semidirect
2. C₂×C₁₃×#577	C₂	semidirect
3. C₁₃×#3500	C₂	semidirect
4. C₁₃×#3499	C₂	semidirect
5. C₁₃×#3270	C₂	semidirect
6. C₁₃×#3269	C₂	semidirect
7. C₁₃×#3267	C₂	semidirect
8. C₁₃×#3266	C₂	semidirect
9. C₂×C₁₃×#497	C₂	semidirect
10. C₁₃×#3059	C₂	semidirect
11. C₁₃×#3057	C₂	semidirect
12. C₁₃×#3040	C₂	semidirect
13. C₁₃×#3039	C₂	semidirect
14. C₁₃×#3011	C₂	semidirect
15. C₁₃×#3011	C₂	semidirect
16. C₁₃×#3010	C₂	semidirect
17. C₁₃×#3009	C₂	semidirect
18. C₁₃×#2943	C₂	semidirect
19. C₁₃×#2932	C₂	semidirect
22. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
29. C₂×C₁₃×#137	C₂²	semidirect
30. C₂×C₁₃×#137	C₂²	semidirect
31. C₂×C₁₃×#137	C₂²	semidirect
36. C₂×C₁₃×#135	C₂²	semidirect
37. C₂²×C₁₃×Q₁₆	C₂²	semidirect
38. C₂²×C₁₃×Q₁₆	C₂²	semidirect
39. C₂²×C₁₃×Q₁₆	C₂²	semidirect
44. C₂×C₁₃×#131	C₂²	semidirect
45. D₄×Q₈×C₁₃	C₂²	semidirect
48. C₁₃×#547	C₂²	semidirect
56. C₁₃×#536	C₂²	semidirect
63. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
67. C₄×C₁₃×#41	C₂²	semidirect
68. C₁₃×#497	C₂²	semidirect
69. C₁₃×#497	C₂²	semidirect
70. C₁₃×#470	C₂²	semidirect
71. C₁₃×#468	C₂²	semidirect
72. C₁₃×#467	C₂²	semidirect
73. C₁₃×#465	C₂²	semidirect
74. C₁₃×#464	C₂²	semidirect
75. C₁₃×#463	C₂²	semidirect
76. C₁₃×#462	C₂²	semidirect
77. C₁₃×#461	C₂²	semidirect
79. C₁₃×#452	C₂²	semidirect
80. C₁₃×#452	C₂²	semidirect
81. C₁₃×#451	C₂²	semidirect
82. C₁₃×#451	C₂²	semidirect
84. C₁₃×#449	C₂²	semidirect
85. C₁₃×#448	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×#419	C₂²	semidirect
96. C₁₃×#419	C₂²	semidirect
99. C₁₃×#416	C₂²	semidirect
101. C₁₃×#408	C₂²	semidirect
102. C₂×C₁₃×#97	C₂²	semidirect
149. C₁₃×#135	D₄	semidirect
258. #61083	C₁₃	direct (N × H)
413. C₂×#578	C₂×C₁₃	semidirect
414. C₂×#577	C₂×C₁₃	semidirect
415. #3500	C₂×C₁₃	semidirect
416. #3499	C₂×C₁₃	semidirect
417. #3270	C₂×C₁₃	semidirect
418. #3269	C₂×C₁₃	semidirect
419. #3267	C₂×C₁₃	semidirect
420. #3266	C₂×C₁₃	semidirect
421. C₂×#497	C₂×C₁₃	semidirect
422. #3059	C₂×C₁₃	semidirect
423. #3057	C₂×C₁₃	semidirect
424. #3040	C₂×C₁₃	semidirect
425. #3039	C₂×C₁₃	semidirect
426. #3011	C₂×C₁₃	semidirect
427. #3011	C₂×C₁₃	semidirect
428. #3010	C₂×C₁₃	semidirect
429. #3009	C₂×C₁₃	semidirect
430. #2943	C₂×C₁₃	semidirect
431. #2932	C₂×C₁₃	semidirect
521. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
528. C₂×#137	C₂²×C₁₃	semidirect
529. C₂×#137	C₂²×C₁₃	semidirect
530. C₂×#137	C₂²×C₁₃	semidirect
535. C₂×#135	C₂²×C₁₃	semidirect
536. C₂²×Q₁₆	C₂²×C₁₃	semidirect
537. C₂²×Q₁₆	C₂²×C₁₃	semidirect
538. C₂²×Q₁₆	C₂²×C₁₃	semidirect
543. C₂×#131	C₂²×C₁₃	semidirect
544. D₄×Q₈	C₂²×C₁₃	semidirect
547. #547	C₂²×C₁₃	semidirect
555. #536	C₂²×C₁₃	semidirect
562. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
566. C₄×#41	C₂²×C₁₃	semidirect
567. #497	C₂²×C₁₃	semidirect
568. #497	C₂²×C₁₃	semidirect
569. #470	C₂²×C₁₃	semidirect
570. #468	C₂²×C₁₃	semidirect
571. #467	C₂²×C₁₃	semidirect
572. #465	C₂²×C₁₃	semidirect
573. #464	C₂²×C₁₃	semidirect
574. #463	C₂²×C₁₃	semidirect
575. #462	C₂²×C₁₃	semidirect
576. #461	C₂²×C₁₃	semidirect
578. #452	C₂²×C₁₃	semidirect
579. #452	C₂²×C₁₃	semidirect
580. #451	C₂²×C₁₃	semidirect
581. #451	C₂²×C₁₃	semidirect
583. #449	C₂²×C₁₃	semidirect
584. #448	C₂²×C₁₃	semidirect
585. #442	C₂²×C₁₃	semidirect
586. #441	C₂²×C₁₃	semidirect
587. #440	C₂²×C₁₃	semidirect
588. #440	C₂²×C₁₃	semidirect
589. #435	C₂²×C₁₃	semidirect
590. #435	C₂²×C₁₃	semidirect
591. #427	C₂²×C₁₃	semidirect
592. #423	C₂²×C₁₃	semidirect
593. #419	C₂²×C₁₃	semidirect
594. #419	C₂²×C₁₃	semidirect
595. #419	C₂²×C₁₃	semidirect
598. #416	C₂²×C₁₃	semidirect
600. #408	C₂²×C₁₃	semidirect
601. C₂×#97	C₂²×C₁₃	semidirect
677. #135	D₄×C₁₃	semidirect
948. C₁₃	#61083	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×#578	2
C₂×C₁₃×#577	2
C₁₃×#3500	2
C₁₃×#3499	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3267	2
C₁₃×#3266	2
C₂×C₁₃×#497	2
C₁₃×#3059	2
C₁₃×#3057	2
C₁₃×#3040	2
C₁₃×#3039	2
C₁₃×#3011	2
C₁₃×#3010	2
C₁₃×#3009	2
C₁₃×#2943	2
C₁₃×#2932	2
#61083	13

Subgroups — C13×#61083 #15747422

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61083 #15747422