Subgroups — C₁₃×#61650 #15747989

Order 3328.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1144 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3536	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3487	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3333	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3332	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3316	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3277	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3275	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3271	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3224	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3196	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3121	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3013	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2978	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
23	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
25	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
26	C₁₃×#562	—	2	2	no	—
27	C₁₃×#554	C₂²	1	2	yes	complemented
28	C₁₃×#550	—	2	1	no	—
29	C₁₃×#550	—	2	1	no	—
30	C₁₃×#550	C₂²	1	2	yes	—
31	C₁₃×#550	C₂²	1	2	yes	complemented
32	C₁₃×#548	—	2	1	no	—
33	C₁₃×#548	—	2	1	no	—
34	C₁₃×#548	C₂²	1	2	yes	—
35	C₁₃×#548	C₂²	1	2	yes	complemented
36	C₁₃×#548	C₂²	1	2	yes	complemented
37	C₁₃×#547	C₂²	1	2	yes	complemented
38	C₁₃×#546	—	2	2	no	—
39	C₁₃×#546	C₂²	1	2	yes	complemented
40	C₁₃×#543	—	2	1	no	—
41	C₁₃×#542	C₂²	1	2	yes	—
42	C₁₃×#539	—	2	1	no	—
43	C₁₃×#538	—	2	1	no	—
44	C₁₃×#537	—	2	1	no	—
45	C₁₃×#537	C₂²	1	2	yes	—
46	C₁₃×#535	—	2	2	no	—
47	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#525	—	2	2	no	—
50	C₁₃×#525	C₂²	1	1	yes	characteristic
51	C₁₃×#525	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
54	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#496	C₂²	1	2	yes	complemented
56	C₁₃×#495	C₂²	1	2	yes	complemented
57	C₁₃×#489	C₂²	1	2	yes	complemented
58	C₁₃×#486	C₂²	1	2	yes	complemented
59	C₁₃×#485	C₂²	1	2	yes	complemented
60	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#482	C₂²	1	2	yes	—
63	C₁₃×#481	C₂²	1	2	yes	complemented
64	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#480	C₂²	1	2	yes	complemented
66	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#477	C₂²	1	2	yes	complemented
68	C₁₃×#475	C₂²	1	2	yes	complemented
69	C₁₃×#470	C₂²	1	2	yes	complemented
70	C₁₃×#469	C₂²	1	2	yes	complemented
71	C₁₃×#469	C₂²	1	2	yes	complemented
72	C₁₃×#468	C₂²	1	2	yes	complemented
73	C₁₃×#468	C₂²	1	2	yes	complemented
74	C₁₃×#468	C₂²	1	2	yes	complemented
75	C₁₃×#466	C₂²	1	2	yes	complemented
76	C₁₃×#465	C₂²	1	2	yes	complemented
77	C₁₃×#464	C₂²	1	2	yes	complemented
78	C₁₃×#464	C₂²	1	2	yes	complemented
79	C₁₃×#464	C₂²	1	2	yes	complemented
80	C₁₃×#463	C₂²	1	2	yes	complemented
81	C₁₃×#460	C₂²	1	2	yes	complemented
82	C₁₃×#459	C₂²	1	2	yes	complemented
83	C₁₃×#452	C₂²	1	2	yes	—
84	C₁₃×#452	C₂²	1	2	yes	—
85	C₁₃×#452	C₂²	1	2	yes	complemented
86	C₁₃×#452	C₂²	1	2	yes	complemented
87	C₁₃×#451	C₂²	1	2	yes	complemented
88	C₁₃×#451	C₂²	1	2	yes	complemented
89	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#450	C₂²	1	2	yes	complemented
91	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#449	C₂²	1	2	yes	—
93	C₁₃×#449	C₂²	1	2	yes	—
94	C₁₃×#449	C₂²	1	2	yes	—
95	C₁₃×#449	C₂²	1	2	yes	complemented
96	C₁₃×#449	C₂²	1	2	yes	complemented
97	C₁₃×#449	C₂²	1	2	yes	complemented
98	C₁₃×#448	C₂²	1	2	yes	—
99	C₁₃×#448	C₂²	1	2	yes	complemented
100	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#447	C₂²	1	2	yes	—
102	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#441	C₂²	1	2	yes	complemented
104	C₁₃×#440	C₂²	1	2	yes	complemented
105	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
106	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
107	C₁₃×#436	C₂²	1	2	yes	complemented
108	C₁₃×#436	C₂²	1	2	yes	complemented
109	C₁₃×#435	C₂²	1	2	yes	complemented
110	C₁₃×#435	C₂²	1	2	yes	complemented
111	C₁₃×#433	C₂²	1	2	yes	complemented
112	C₁₃×#417	C₂²	1	2	yes	—
113	C₁₃×#417	C₂²	1	2	yes	complemented
114	C₁₃×#417	C₂²	1	2	yes	complemented
115	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
116	C₁₃×#408	C₂²	1	2	yes	complemented
117	C₁₃×#407	C₂²	1	1	yes	characteristic
118	C₁₃×#407	C₂²	1	1	yes	characteristic
119	C₁₃×2₋¹⁺⁴	—	4	4	no	—
120	C₂×C₁₃×#41	—	2	2	no	—
121	C₂×C₁₃×#41	—	2	1	no	—
122	C₂×C₁₃×#41	—	2	2	no	—
123	C₂×C₁₃×#41	—	2	1	no	—
124	C₂×C₁₃×#41	—	2	1	no	—
125	C₂×C₁₃×#41	—	4	4	no	—
126	C₂×C₁₃×#41	C₂³	1	2	yes	—
127	C₂×C₁₃×#41	C₂³	1	2	yes	—
128	C₂×C₁₃×#41	C₂³	1	2	yes	—
129	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
130	C₂×C₁₃×#41	C₂³	1	2	yes	—
131	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
132	C₂²×Q₈×C₁₃	—	2	1	no	—
133	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
134	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
135	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₁₃	—	2	1	no	—
137	C₂²×D₄×C₁₃	—	2	1	no	—
138	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	—	2	1	no	—
141	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₁₃×#137	—	4	4	no	—
143	C₁₃×#137	—	4	4	no	—
144	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
145	C₁₃×#135	—	4	4	no	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	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×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×D₈	C₂³	1	2	yes	—
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
161	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
163	C₁₃×#127	—	2	2	no	—
164	C₁₃×#127	—	2	2	no	—
165	C₁₃×#127	—	2	1	no	—
166	C₁₃×#127	C₂³	1	2	yes	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#125	—	2	2	no	—
169	C₁₃×#124	—	2	1	no	—
170	C₁₃×#124	—	2	2	no	—
171	C₁₃×#124	—	2	2	no	—
172	C₁₃×#124	—	2	2	no	—
173	C₁₃×#124	—	2	2	no	—
174	C₁₃×#124	C₂³	1	2	yes	—
175	C₁₃×#124	C₂³	1	2	yes	—
176	C₁₃×#123	—	2	1	no	—
177	C₁₃×#123	—	2	2	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	D₄	1	2	yes	—
182	C₁₃×C₂²⋊Q₈	—	2	2	no	—
183	C₁₃×C₂²⋊Q₈	—	2	1	no	—
184	C₁₃×C₂²⋊Q₈	—	2	1	no	—
185	C₁₃×C₂²⋊Q₈	—	2	2	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	—	2	2	no	—
188	C₁₃×C₂²⋊Q₈	—	2	2	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
193	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
194	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
195	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
196	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
198	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₁₃×#121	—	2	2	no	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	—	2	1	no	—
206	C₁₃×#121	—	2	1	no	—
207	C₁₃×#121	—	2	1	no	—
208	C₁₃×#121	—	2	1	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	2	no	—
211	C₁₃×#121	—	2	2	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	—	2	2	no	—
214	C₁₃×#121	D₄	1	1	yes	characteristic
215	C₁₃×#121	D₄	1	1	yes	characteristic
216	C₁₃×#121	C₂³	1	2	yes	—
217	C₁₃×#121	C₂³	1	1	yes	characteristic
218	C₁₃×#121	C₂³	1	2	yes	—
219	C₁₃×#121	C₂³	1	1	yes	characteristic
220	C₁₃×#121	C₂³	1	2	yes	—
221	C₁₃×#121	C₂³	1	2	yes	—
222	C₁₃×#121	C₂³	1	2	yes	—
223	C₁₃×#120	—	2	1	no	—
224	C₁₃×#120	—	2	2	no	—
225	C₁₃×#120	—	2	2	no	—
226	C₁₃×#120	—	2	2	no	—
227	C₁₃×#120	D₄	1	2	yes	—
228	C₄×Q₈×C₁₃	—	2	1	no	—
229	C₄×Q₈×C₁₃	—	2	1	no	—
230	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
232	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
233	C₄×D₄×C₁₃	—	2	2	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	C₂³	1	2	yes	—
242	C₄×D₄×C₁₃	C₂³	1	2	yes	—
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₁₃×#117	—	2	2	no	—
245	C₁₃×#117	C₂³	1	1	yes	characteristic
246	C₁₃×#117	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
252	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
253	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
254	C₁₃×#107	C₂³	1	2	yes	—
255	C₁₃×#107	C₂³	1	2	yes	—
256	C₁₃×#106	C₂³	1	2	yes	—
257	C₁₃×#106	C₂³	1	2	yes	—
258	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
259	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
260	C₁₃×#103	C₂³	1	2	yes	—
261	C₁₃×#103	C₂³	1	2	yes	—
262	C₁₃×#103	C₂³	1	2	yes	—
263	C₁₃×#103	C₂³	1	2	yes	—
264	C₁₃×#103	C₂³	1	2	yes	—
265	C₁₃×#103	C₂³	1	2	yes	—
266	C₁₃×#103	C₂³	1	2	yes	—
267	C₁₃×#103	C₂³	1	2	yes	—
268	C₁₃×#102	C₂³	1	2	yes	—
269	C₁₃×#102	C₂³	1	2	yes	—
270	C₁₃×#102	C₂³	1	2	yes	—
271	C₁₃×#102	C₂³	1	2	yes	—
272	C₁₃×#102	C₂³	1	2	yes	—
273	C₁₃×#102	C₂³	1	2	yes	—
274	C₁₃×#102	C₂³	1	2	yes	—
275	C₁₃×#102	C₂³	1	2	yes	—
276	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
277	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
278	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
280	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
284	C₁₃×#97	C₂³	1	2	yes	—
285	C₄×C₈×C₁₃	C₂³	1	2	yes	—
286	#61650	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
287	C₂⁴×C₁₃	—	2	1	no	—
288	C₂⁴×C₁₃	—	2	1	no	—
289	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
290	C₁₃×#41	—	2	4	no	—
291	C₁₃×#41	—	2	4	no	—
292	C₁₃×#41	—	2	4	no	—
293	C₁₃×#41	—	4	2	no	—
294	C₁₃×#41	—	4	2	no	—
295	C₁₃×#41	—	4	2	no	—
296	C₁₃×#41	—	4	2	no	—
297	C₁₃×#41	—	4	2	no	—
298	C₁₃×#41	—	4	8	no	—
299	C₁₃×#41	—	4	2	no	—
300	C₁₃×#41	—	4	2	no	—
301	C₁₃×#41	—	4	4	no	—
302	C₁₃×#41	—	4	4	no	—
303	C₁₃×#41	—	4	4	no	—
304	C₁₃×#41	—	8	4	no	—
305	C₂×Q₈×C₁₃	—	2	4	no	—
306	C₂×Q₈×C₁₃	—	2	1	no	—
307	C₂×Q₈×C₁₃	—	2	2	no	—
308	C₂×Q₈×C₁₃	—	2	1	no	—
309	C₂×Q₈×C₁₃	—	2	2	no	—
310	C₂×Q₈×C₁₃	—	2	4	no	—
311	C₂×Q₈×C₁₃	—	4	2	no	—
312	C₂×Q₈×C₁₃	—	4	2	no	—
313	C₂×Q₈×C₁₃	—	4	4	no	—
314	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
315	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
316	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
317	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
318	C₂×D₄×C₁₃	—	2	2	no	—
319	C₂×D₄×C₁₃	—	2	1	no	—
320	C₂×D₄×C₁₃	—	2	2	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	—	2	2	no	—
325	C₂×D₄×C₁₃	—	2	1	no	—
326	C₂×D₄×C₁₃	—	2	1	no	—
327	C₂×D₄×C₁₃	—	2	2	no	—
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	2	no	—
330	C₂×D₄×C₁₃	—	2	1	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	1	no	—
334	C₂×D₄×C₁₃	—	4	2	no	—
335	C₂×D₄×C₁₃	—	4	2	no	—
336	C₂×D₄×C₁₃	—	4	4	no	—
337	C₂×D₄×C₁₃	—	8	2	no	—
338	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
339	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
342	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
343	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	2	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	1	no	—
350	C₂²×C₄×C₁₃	—	2	2	no	—
351	C₂²×C₄×C₁₃	—	2	2	no	—
352	C₂²×C₄×C₁₃	—	2	1	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	4	2	no	—
358	C₂²×C₄×C₁₃	—	4	4	no	—
359	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
361	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
364	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₁₃×Q₁₆	—	2	4	no	—
367	C₁₃×Q₁₆	—	2	4	no	—
368	C₁₃×Q₁₆	—	4	2	no	—
369	C₁₃×SD₁₆	—	2	4	no	—
370	C₁₃×SD₁₆	—	2	4	no	—
371	C₁₃×SD₁₆	—	4	2	no	—
372	C₁₃×SD₁₆	—	4	2	no	—
373	C₁₃×SD₁₆	—	4	2	no	—
374	C₁₃×SD₁₆	—	4	2	no	—
375	C₁₃×D₈	—	4	2	no	—
376	C₁₃×D₈	—	4	2	no	—
377	C₁₃×D₈	—	4	2	no	—
378	C₁₃×M₁₆	—	4	2	no	—
379	C₁₃×M₁₆	—	4	2	no	—
380	C₁₃×M₁₆	—	4	2	no	—
381	C₂×C₈×C₁₃	—	4	2	no	—
382	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
383	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
384	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
385	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	2	2	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	1	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
401	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
403	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
405	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
406	C₁₃×C₂²⋊C₄	—	2	2	no	—
407	C₁₃×C₂²⋊C₄	—	2	2	no	—
408	C₁₃×C₂²⋊C₄	—	2	1	no	—
409	C₁₃×C₂²⋊C₄	—	2	1	no	—
410	C₁₃×C₂²⋊C₄	—	2	1	no	—
411	C₁₃×C₂²⋊C₄	—	2	2	no	—
412	C₁₃×C₂²⋊C₄	—	2	2	no	—
413	C₁₃×C₂²⋊C₄	—	2	2	no	—
414	C₁₃×C₂²⋊C₄	—	2	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	1	no	—
417	C₁₃×C₂²⋊C₄	—	2	1	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
425	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
426	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
427	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
428	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
429	C₄²×C₁₃	—	2	2	no	—
430	C₄²×C₁₃	—	2	2	no	—
431	C₄²×C₁₃	—	2	1	no	—
432	C₄²×C₁₃	—	2	2	no	—
433	C₄²×C₁₃	C₂⁴	1	2	yes	—
434	#3536	C₂×C₁₃	1	1	yes	characteristic, complemented
435	#3487	C₂×C₁₃	1	1	yes	characteristic, complemented
436	#3333	C₂×C₁₃	1	2	yes	complemented
437	#3332	C₂×C₁₃	1	2	yes	complemented
438	#3316	C₂×C₁₃	1	2	yes	complemented
439	#3308	C₂×C₁₃	1	2	yes	complemented
440	#3277	C₂×C₁₃	1	2	yes	complemented
441	#3275	C₂×C₁₃	1	2	yes	complemented
442	#3271	C₂×C₁₃	1	2	yes	complemented
443	#3268	C₂×C₁₃	1	2	yes	complemented
444	#3224	C₂×C₁₃	1	2	yes	complemented
445	#3198	C₂×C₁₃	1	2	yes	complemented
446	#3196	C₂×C₁₃	1	1	yes	characteristic, complemented
447	#3194	C₂×C₁₃	1	1	yes	characteristic, complemented
448	#3121	C₂×C₁₃	1	2	yes	complemented
449	#3013	C₂×C₁₃	1	2	yes	complemented
450	#3007	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3006	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#2978	C₂×C₁₃	1	1	yes	characteristic, complemented
453	C₂³×C₁₃	—	2	2	no	—
454	C₂³×C₁₃	—	2	2	no	—
455	C₂³×C₁₃	—	2	1	no	—
456	C₂³×C₁₃	—	4	1	no	—
457	C₂³×C₁₃	—	4	1	no	—
458	C₂³×C₁₃	—	4	1	no	—
459	C₂³×C₁₃	—	4	2	no	—
460	C₂³×C₁₃	—	4	2	no	—
461	C₂³×C₁₃	—	8	1	no	—
462	C₂³×C₁₃	—	8	1	no	—
463	C₂³×C₁₃	—	8	1	no	—
464	C₂³×C₁₃	—	8	1	no	—
465	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
466	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
467	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
468	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
469	Q₈×C₁₃	—	2	4	no	—
470	Q₈×C₁₃	—	2	2	no	—
471	Q₈×C₁₃	—	2	2	no	—
472	Q₈×C₁₃	—	2	2	no	—
473	Q₈×C₁₃	—	2	2	no	—
474	Q₈×C₁₃	—	4	1	no	—
475	Q₈×C₁₃	—	4	4	no	—
476	Q₈×C₁₃	—	8	1	no	—
477	Q₈×C₁₃	—	8	2	no	—
478	Q₈×C₁₃	H(5,𝔽₂)	1	4	yes	—
479	D₄×C₁₃	—	2	2	no	—
480	D₄×C₁₃	—	2	2	no	—
481	D₄×C₁₃	—	2	2	no	—
482	D₄×C₁₃	—	2	2	no	—
483	D₄×C₁₃	—	2	2	no	—
484	D₄×C₁₃	—	4	2	no	—
485	D₄×C₁₃	—	4	1	no	—
486	D₄×C₁₃	—	4	2	no	—
487	D₄×C₁₃	—	4	2	no	—
488	D₄×C₁₃	—	4	4	no	—
489	D₄×C₁₃	—	4	4	no	—
490	D₄×C₁₃	—	4	4	no	—
491	D₄×C₁₃	—	4	2	no	—
492	D₄×C₁₃	—	4	4	no	—
493	D₄×C₁₃	—	4	2	no	—
494	D₄×C₁₃	—	8	2	no	—
495	D₄×C₁₃	—	8	2	no	—
496	D₄×C₁₃	—	8	1	no	—
497	D₄×C₁₃	—	8	2	no	—
498	D₄×C₁₃	—	8	1	no	—
499	D₄×C₁₃	—	8	2	no	—
500	D₄×C₁₃	—	8	1	no	—
501	D₄×C₁₃	—	8	2	no	—
502	D₄×C₁₃	—	8	2	no	—
503	D₄×C₁₃	—	8	2	no	—
504	C₂×C₄×C₁₃	—	2	4	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	2	2	no	—
509	C₂×C₄×C₁₃	—	2	2	no	—
510	C₂×C₄×C₁₃	—	2	2	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	4	1	no	—
518	C₂×C₄×C₁₃	—	4	1	no	—
519	C₂×C₄×C₁₃	—	4	1	no	—
520	C₂×C₄×C₁₃	—	4	4	no	—
521	C₂×C₄×C₁₃	—	4	4	no	—
522	C₂×C₄×C₁₃	—	4	4	no	—
523	C₂×C₄×C₁₃	—	4	4	no	—
524	C₂×C₄×C₁₃	—	4	2	no	—
525	C₂×C₄×C₁₃	—	4	2	no	—
526	C₂×C₄×C₁₃	—	8	2	no	—
527	C₂×C₄×C₁₃	—	8	2	no	—
528	C₂×C₄×C₁₃	—	8	1	no	—
529	C₂×C₄×C₁₃	—	8	1	no	—
530	C₂×C₄×C₁₃	—	8	2	no	—
531	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
532	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
533	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
535	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
536	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
537	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
538	C₈×C₁₃	—	2	2	no	—
539	C₈×C₁₃	—	2	2	no	—
540	C₈×C₁₃	—	2	2	no	—
541	C₈×C₁₃	—	2	2	no	—
542	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
543	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
544	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
545	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
546	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
547	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
548	#562	—	2	2	no	—
549	#554	C₂²×C₁₃	1	2	yes	complemented
550	#550	—	2	1	no	—
551	#550	—	2	1	no	—
552	#550	C₂²×C₁₃	1	2	yes	—
553	#550	C₂²×C₁₃	1	2	yes	complemented
554	#548	—	2	1	no	—
555	#548	—	2	1	no	—
556	#548	C₂²×C₁₃	1	2	yes	—
557	#548	C₂²×C₁₃	1	2	yes	complemented
558	#548	C₂²×C₁₃	1	2	yes	complemented
559	#547	C₂²×C₁₃	1	2	yes	complemented
560	#546	—	2	2	no	—
561	#546	C₂²×C₁₃	1	2	yes	complemented
562	#543	—	2	1	no	—
563	#542	C₂²×C₁₃	1	2	yes	—
564	#539	—	2	1	no	—
565	#538	—	2	1	no	—
566	#537	—	2	1	no	—
567	#537	C₂²×C₁₃	1	2	yes	—
568	#535	—	2	2	no	—
569	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
570	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
571	#525	—	2	2	no	—
572	#525	C₂²×C₁₃	1	1	yes	characteristic
573	#525	C₂²×C₁₃	1	1	yes	characteristic
574	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
575	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
576	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
577	#496	C₂²×C₁₃	1	2	yes	complemented
578	#495	C₂²×C₁₃	1	2	yes	complemented
579	#489	C₂²×C₁₃	1	2	yes	complemented
580	#486	C₂²×C₁₃	1	2	yes	complemented
581	#485	C₂²×C₁₃	1	2	yes	complemented
582	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
583	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
584	#482	C₂²×C₁₃	1	2	yes	—
585	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
586	#481	C₂²×C₁₃	1	2	yes	complemented
587	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
588	#480	C₂²×C₁₃	1	2	yes	complemented
589	#477	C₂²×C₁₃	1	2	yes	complemented
590	#475	C₂²×C₁₃	1	2	yes	complemented
591	#470	C₂²×C₁₃	1	2	yes	complemented
592	#469	C₂²×C₁₃	1	2	yes	complemented
593	#469	C₂²×C₁₃	1	2	yes	complemented
594	#468	C₂²×C₁₃	1	2	yes	complemented
595	#468	C₂²×C₁₃	1	2	yes	complemented
596	#468	C₂²×C₁₃	1	2	yes	complemented
597	#466	C₂²×C₁₃	1	2	yes	complemented
598	#465	C₂²×C₁₃	1	2	yes	complemented
599	#464	C₂²×C₁₃	1	2	yes	complemented
600	#464	C₂²×C₁₃	1	2	yes	complemented
601	#464	C₂²×C₁₃	1	2	yes	complemented
602	#463	C₂²×C₁₃	1	2	yes	complemented
603	#460	C₂²×C₁₃	1	2	yes	complemented
604	#459	C₂²×C₁₃	1	2	yes	complemented
605	#452	C₂²×C₁₃	1	2	yes	—
606	#452	C₂²×C₁₃	1	2	yes	—
607	#452	C₂²×C₁₃	1	2	yes	complemented
608	#452	C₂²×C₁₃	1	2	yes	complemented
609	#451	C₂²×C₁₃	1	2	yes	complemented
610	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	#451	C₂²×C₁₃	1	2	yes	complemented
612	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
613	#450	C₂²×C₁₃	1	2	yes	complemented
614	#449	C₂²×C₁₃	1	2	yes	—
615	#449	C₂²×C₁₃	1	2	yes	—
616	#449	C₂²×C₁₃	1	2	yes	—
617	#449	C₂²×C₁₃	1	2	yes	complemented
618	#449	C₂²×C₁₃	1	2	yes	complemented
619	#449	C₂²×C₁₃	1	2	yes	complemented
620	#448	C₂²×C₁₃	1	2	yes	—
621	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
622	#448	C₂²×C₁₃	1	2	yes	complemented
623	#447	C₂²×C₁₃	1	2	yes	—
624	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
625	#441	C₂²×C₁₃	1	2	yes	complemented
626	#440	C₂²×C₁₃	1	2	yes	complemented
627	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
628	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
629	#436	C₂²×C₁₃	1	2	yes	complemented
630	#436	C₂²×C₁₃	1	2	yes	complemented
631	#435	C₂²×C₁₃	1	2	yes	complemented
632	#435	C₂²×C₁₃	1	2	yes	complemented
633	#433	C₂²×C₁₃	1	2	yes	complemented
634	#417	C₂²×C₁₃	1	2	yes	—
635	#417	C₂²×C₁₃	1	2	yes	complemented
636	#417	C₂²×C₁₃	1	2	yes	complemented
637	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
638	#408	C₂²×C₁₃	1	2	yes	complemented
639	#407	C₂²×C₁₃	1	1	yes	characteristic
640	#407	C₂²×C₁₃	1	1	yes	characteristic
641	C₂²×C₁₃	—	2	1	no	—
642	C₂²×C₁₃	—	2	2	no	—
643	C₂²×C₁₃	—	2	1	no	—
644	C₂²×C₁₃	—	2	1	no	—
645	C₂²×C₁₃	—	2	1	no	—
646	C₂²×C₁₃	—	2	2	no	—
647	C₂²×C₁₃	—	2	1	no	—
648	C₂²×C₁₃	—	2	1	no	—
649	C₂²×C₁₃	—	2	1	no	—
650	C₂²×C₁₃	—	2	2	no	—
651	C₂²×C₁₃	—	2	1	no	—
652	C₂²×C₁₃	—	2	1	no	—
653	C₂²×C₁₃	—	4	2	no	—
654	C₂²×C₁₃	—	4	1	no	—
655	C₂²×C₁₃	—	4	2	no	—
656	C₂²×C₁₃	—	4	1	no	—
657	C₂²×C₁₃	—	4	2	no	—
658	C₂²×C₁₃	—	4	2	no	—
659	C₂²×C₁₃	—	4	1	no	—
660	C₂²×C₁₃	—	4	2	no	—
661	C₂²×C₁₃	—	4	2	no	—
662	C₂²×C₁₃	—	8	2	no	—
663	C₂²×C₁₃	—	8	4	no	—
664	C₂²×C₁₃	—	16	2	no	—
665	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
666	C₄×C₁₃	—	2	2	no	—
667	C₄×C₁₃	—	2	2	no	—
668	C₄×C₁₃	—	2	4	no	—
669	C₄×C₁₃	—	2	1	no	—
670	C₄×C₁₃	—	2	1	no	—
671	C₄×C₁₃	—	2	1	no	—
672	C₄×C₁₃	—	2	2	no	—
673	C₄×C₁₃	—	4	2	no	—
674	C₄×C₁₃	—	4	2	no	—
675	C₄×C₁₃	—	4	1	no	—
676	C₄×C₁₃	—	4	1	no	—
677	C₄×C₁₃	—	4	1	no	—
678	C₄×C₁₃	—	4	2	no	—
679	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
680	2₋¹⁺⁴	—	4	4	no	—
681	C₂×#41	—	2	2	no	—
682	C₂×#41	—	2	1	no	—
683	C₂×#41	—	2	2	no	—
684	C₂×#41	—	2	1	no	—
685	C₂×#41	—	2	1	no	—
686	C₂×#41	—	4	4	no	—
687	C₂×#41	C₂³×C₁₃	1	2	yes	—
688	C₂×#41	C₂³×C₁₃	1	2	yes	—
689	C₂×#41	C₂³×C₁₃	1	2	yes	—
690	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
691	C₂×#41	C₂³×C₁₃	1	2	yes	—
692	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
693	C₂²×Q₈	—	2	1	no	—
694	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
695	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
696	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
697	C₂²×D₄	—	2	1	no	—
698	C₂²×D₄	—	2	1	no	—
699	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
700	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
701	C₂³×C₄	—	2	1	no	—
702	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
703	#137	—	4	4	no	—
704	#137	—	4	4	no	—
705	AGL(1,ℤ/8)	—	4	4	no	—
706	#135	—	4	4	no	—
707	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
708	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
709	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
710	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
711	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
712	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
713	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
714	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
715	C₂×SD₁₆	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	2	yes	—
719	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
720	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
721	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
722	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
723	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
724	#127	—	2	2	no	—
725	#127	—	2	2	no	—
726	#127	—	2	1	no	—
727	#127	C₂³×C₁₃	1	2	yes	—
728	#126	—	2	2	no	—
729	#125	—	2	2	no	—
730	#124	—	2	1	no	—
731	#124	—	2	2	no	—
732	#124	—	2	2	no	—
733	#124	—	2	2	no	—
734	#124	—	2	2	no	—
735	#124	C₂³×C₁₃	1	2	yes	—
736	#124	C₂³×C₁₃	1	2	yes	—
737	#123	—	2	1	no	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	#123	—	2	2	no	—
741	#123	—	2	2	no	—
742	#123	D₄×C₁₃	1	2	yes	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	—	2	1	no	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	2	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
754	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
755	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
756	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
757	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
758	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
759	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
760	#121	—	2	2	no	—
761	#121	—	2	2	no	—
762	#121	—	2	2	no	—
763	#121	—	2	2	no	—
764	#121	—	2	2	no	—
765	#121	—	2	2	no	—
766	#121	—	2	1	no	—
767	#121	—	2	1	no	—
768	#121	—	2	1	no	—
769	#121	—	2	1	no	—
770	#121	—	2	2	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	2	no	—
774	#121	—	2	2	no	—
775	#121	D₄×C₁₃	1	1	yes	characteristic
776	#121	D₄×C₁₃	1	1	yes	characteristic
777	#121	C₂³×C₁₃	1	2	yes	—
778	#121	C₂³×C₁₃	1	2	yes	—
779	#121	C₂³×C₁₃	1	1	yes	characteristic
780	#121	C₂³×C₁₃	1	1	yes	characteristic
781	#121	C₂³×C₁₃	1	2	yes	—
782	#121	C₂³×C₁₃	1	2	yes	—
783	#121	C₂³×C₁₃	1	2	yes	—
784	#120	—	2	1	no	—
785	#120	—	2	2	no	—
786	#120	—	2	2	no	—
787	#120	—	2	2	no	—
788	#120	D₄×C₁₃	1	2	yes	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
792	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
793	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	—	2	2	no	—
799	C₄×D₄	—	2	2	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	C₂³×C₁₃	1	2	yes	—
803	C₄×D₄	C₂³×C₁₃	1	2	yes	—
804	C₄×D₄	C₂³×C₁₃	1	2	yes	—
805	#117	—	2	2	no	—
806	#117	C₂³×C₁₃	1	1	yes	characteristic
807	#117	C₂³×C₁₃	1	1	yes	characteristic
808	C₂×C₄⋊C₄	—	2	1	no	—
809	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
811	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
812	C₂×C₂²⋊C₄	—	2	1	no	—
813	C₂×C₂²⋊C₄	—	2	1	no	—
814	C₂×C₂²⋊C₄	—	2	2	no	—
815	#107	C₂³×C₁₃	1	2	yes	—
816	#107	C₂³×C₁₃	1	2	yes	—
817	#106	C₂³×C₁₃	1	2	yes	—
818	#106	C₂³×C₁₃	1	2	yes	—
819	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
820	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
821	#103	C₂³×C₁₃	1	2	yes	—
822	#103	C₂³×C₁₃	1	2	yes	—
823	#103	C₂³×C₁₃	1	2	yes	—
824	#103	C₂³×C₁₃	1	2	yes	—
825	#103	C₂³×C₁₃	1	2	yes	—
826	#103	C₂³×C₁₃	1	2	yes	—
827	#103	C₂³×C₁₃	1	2	yes	—
828	#103	C₂³×C₁₃	1	2	yes	—
829	#102	C₂³×C₁₃	1	2	yes	—
830	#102	C₂³×C₁₃	1	2	yes	—
831	#102	C₂³×C₁₃	1	2	yes	—
832	#102	C₂³×C₁₃	1	2	yes	—
833	#102	C₂³×C₁₃	1	2	yes	—
834	#102	C₂³×C₁₃	1	2	yes	—
835	#102	C₂³×C₁₃	1	2	yes	—
836	#102	C₂³×C₁₃	1	2	yes	—
837	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
838	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
839	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
840	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
841	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
842	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
843	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
844	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
845	#97	C₂³×C₁₃	1	2	yes	—
846	C₄×C₈	C₂³×C₁₃	1	2	yes	—
847	C₂×C₁₃	—	4	2	no	—
848	C₂×C₁₃	—	4	1	no	—
849	C₂×C₁₃	—	4	1	no	—
850	C₂×C₁₃	—	4	1	no	—
851	C₂×C₁₃	—	8	1	no	—
852	C₂×C₁₃	—	8	2	no	—
853	C₂×C₁₃	—	8	2	no	—
854	C₂×C₁₃	#3484	1	1	yes	characteristic
855	C₂×C₁₃	#3585	1	1	yes	characteristic
856	C₂×C₁₃	#3586	1	1	yes	characteristic
857	C₂⁴	—	2	1	no	—
858	C₂⁴	—	2	1	no	—
859	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
860	#41	—	2	4	no	—
861	#41	—	2	4	no	—
862	#41	—	2	4	no	—
863	#41	—	4	2	no	—
864	#41	—	4	2	no	—
865	#41	—	4	2	no	—
866	#41	—	4	2	no	—
867	#41	—	4	2	no	—
868	#41	—	4	8	no	—
869	#41	—	4	2	no	—
870	#41	—	4	2	no	—
871	#41	—	4	4	no	—
872	#41	—	4	4	no	—
873	#41	—	4	4	no	—
874	#41	—	8	4	no	—
875	C₂×Q₈	—	2	4	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	2	no	—
878	C₂×Q₈	—	2	1	no	—
879	C₂×Q₈	—	2	2	no	—
880	C₂×Q₈	—	2	4	no	—
881	C₂×Q₈	—	4	2	no	—
882	C₂×Q₈	—	4	2	no	—
883	C₂×Q₈	—	4	4	no	—
884	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
885	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
886	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
887	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	1	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	2	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	1	no	—
904	C₂×D₄	—	4	2	no	—
905	C₂×D₄	—	4	2	no	—
906	C₂×D₄	—	4	4	no	—
907	C₂×D₄	—	8	2	no	—
908	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
909	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
910	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
911	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
912	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
913	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
914	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	1	no	—
919	C₂²×C₄	—	2	1	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	4	2	no	—
928	C₂²×C₄	—	4	4	no	—
929	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
930	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
931	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
932	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
933	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
934	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
936	Q₁₆	—	2	4	no	—
937	Q₁₆	—	2	4	no	—
938	Q₁₆	—	4	2	no	—
939	SD₁₆	—	2	4	no	—
940	SD₁₆	—	2	4	no	—
941	SD₁₆	—	4	2	no	—
942	SD₁₆	—	4	2	no	—
943	SD₁₆	—	4	2	no	—
944	SD₁₆	—	4	2	no	—
945	D₈	—	4	2	no	—
946	D₈	—	4	2	no	—
947	D₈	—	4	2	no	—
948	M₁₆	—	4	2	no	—
949	M₁₆	—	4	2	no	—
950	M₁₆	—	4	2	no	—
951	C₂×C₈	—	4	2	no	—
952	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
953	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
954	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
955	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
970	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
971	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
972	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
973	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
974	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
975	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	1	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	1	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
995	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
996	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
997	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
998	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
999	C₄²	—	2	2	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	C₂⁴×C₁₃	1	2	yes	—
1004	C₁₃	#61650	1	1	yes	characteristic, direct product factor, Sylow
1005	C₂³	—	2	2	no	—
1006	C₂³	—	2	2	no	—
1007	C₂³	—	2	1	no	—
1008	C₂³	—	4	1	no	—
1009	C₂³	—	4	1	no	—
1010	C₂³	—	4	1	no	—
1011	C₂³	—	4	2	no	—
1012	C₂³	—	4	2	no	—
1013	C₂³	—	8	1	no	—
1014	C₂³	—	8	1	no	—
1015	C₂³	—	8	1	no	—
1016	C₂³	—	8	1	no	—
1017	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1018	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1019	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1020	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1021	Q₈	—	2	4	no	—
1022	Q₈	—	2	2	no	—
1023	Q₈	—	2	2	no	—
1024	Q₈	—	2	2	no	—
1025	Q₈	—	2	2	no	—
1026	Q₈	—	4	1	no	—
1027	Q₈	—	4	4	no	—
1028	Q₈	—	8	1	no	—
1029	Q₈	—	8	2	no	—
1030	Q₈	C₁₃×H(5,𝔽₂)	1	4	yes	—
1031	D₄	—	2	2	no	—
1032	D₄	—	2	2	no	—
1033	D₄	—	2	2	no	—
1034	D₄	—	2	2	no	—
1035	D₄	—	2	2	no	—
1036	D₄	—	4	2	no	—
1037	D₄	—	4	1	no	—
1038	D₄	—	4	2	no	—
1039	D₄	—	4	2	no	—
1040	D₄	—	4	4	no	—
1041	D₄	—	4	4	no	—
1042	D₄	—	4	4	no	—
1043	D₄	—	4	2	no	—
1044	D₄	—	4	4	no	—
1045	D₄	—	4	2	no	—
1046	D₄	—	8	1	no	—
1047	D₄	—	8	2	no	—
1048	D₄	—	8	2	no	—
1049	D₄	—	8	2	no	—
1050	D₄	—	8	2	no	—
1051	D₄	—	8	1	no	—
1052	D₄	—	8	2	no	—
1053	D₄	—	8	1	no	—
1054	D₄	—	8	2	no	—
1055	D₄	—	8	2	no	—
1056	C₂×C₄	—	2	4	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	1	no	—
1071	C₂×C₄	—	4	1	no	—
1072	C₂×C₄	—	4	4	no	—
1073	C₂×C₄	—	4	4	no	—
1074	C₂×C₄	—	4	4	no	—
1075	C₂×C₄	—	4	4	no	—
1076	C₂×C₄	—	4	2	no	—
1077	C₂×C₄	—	4	2	no	—
1078	C₂×C₄	—	8	2	no	—
1079	C₂×C₄	—	8	2	no	—
1080	C₂×C₄	—	8	1	no	—
1081	C₂×C₄	—	8	1	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1084	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1085	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1086	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1087	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1088	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1089	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1090	C₈	—	2	2	no	—
1091	C₈	—	2	2	no	—
1092	C₈	—	2	2	no	—
1093	C₈	—	2	2	no	—
1094	C₂²	—	2	1	no	—
1095	C₂²	—	2	2	no	—
1096	C₂²	—	2	1	no	—
1097	C₂²	—	2	1	no	—
1098	C₂²	—	2	1	no	—
1099	C₂²	—	2	2	no	—
1100	C₂²	—	2	1	no	—
1101	C₂²	—	2	1	no	—
1102	C₂²	—	2	1	no	—
1103	C₂²	—	2	2	no	—
1104	C₂²	—	2	1	no	—
1105	C₂²	—	2	1	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	1	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	2	no	—
1111	C₂²	—	4	2	no	—
1112	C₂²	—	4	1	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	—	4	2	no	—
1115	C₂²	—	8	2	no	—
1116	C₂²	—	8	4	no	—
1117	C₂²	—	16	2	no	—
1118	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1119	C₄	—	2	2	no	—
1120	C₄	—	2	2	no	—
1121	C₄	—	2	4	no	—
1122	C₄	—	2	1	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	1	no	—
1125	C₄	—	2	2	no	—
1126	C₄	—	4	2	no	—
1127	C₄	—	4	2	no	—
1128	C₄	—	4	1	no	—
1129	C₄	—	4	1	no	—
1130	C₄	—	4	1	no	—
1131	C₄	—	4	2	no	—
1132	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1133	C₂	—	4	1	no	—
1134	C₂	—	4	1	no	—
1135	C₂	—	4	1	no	—
1136	C₂	—	4	2	no	—
1137	C₂	—	8	2	no	—
1138	C₂	—	8	2	no	—
1139	C₂	—	8	1	no	—
1140	C₂	C₁₃×#3484	1	1	yes	characteristic
1141	C₂	C₁₃×#3585	1	1	yes	characteristic
1142	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3536	C₂	semidirect
2. C₁₃×#3487	C₂	semidirect
3. C₁₃×#3333	C₂	semidirect
4. C₁₃×#3332	C₂	semidirect
5. C₁₃×#3316	C₂	semidirect
6. C₁₃×#3308	C₂	semidirect
7. C₁₃×#3277	C₂	semidirect
8. C₁₃×#3275	C₂	semidirect
9. C₁₃×#3271	C₂	semidirect
10. C₁₃×#3268	C₂	semidirect
11. C₁₃×#3224	C₂	semidirect
12. C₁₃×#3198	C₂	semidirect
13. C₁₃×#3196	C₂	semidirect
14. C₁₃×#3194	C₂	semidirect
15. C₁₃×#3121	C₂	semidirect
16. C₁₃×#3013	C₂	semidirect
17. C₁₃×#3007	C₂	semidirect
18. C₁₃×#3006	C₂	semidirect
19. C₁₃×#2978	C₂	semidirect
20. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
22. C₂×C₁₃×#137	C₂²	semidirect
23. C₂×C₁₃×#137	C₂²	semidirect
25. C₂×C₁₃×#135	C₂²	semidirect
27. C₁₃×#554	C₂²	semidirect
31. C₁₃×#550	C₂²	semidirect
35. C₁₃×#548	C₂²	semidirect
36. C₁₃×#548	C₂²	semidirect
37. C₁₃×#547	C₂²	semidirect
39. C₁₃×#546	C₂²	semidirect
47. C₁₃×#535	C₂²	semidirect
48. C₁₃×#535	C₂²	semidirect
54. C₁₃×#519	C₂²	semidirect
55. C₁₃×#496	C₂²	semidirect
56. C₁₃×#495	C₂²	semidirect
57. C₁₃×#489	C₂²	semidirect
58. C₁₃×#486	C₂²	semidirect
59. C₁₃×#485	C₂²	semidirect
60. C₁₃×#484	C₂²	semidirect
61. C₁₃×#483	C₂²	semidirect
63. C₁₃×#481	C₂²	semidirect
64. C₁₃×#481	C₂²	semidirect
65. C₁₃×#480	C₂²	semidirect
66. C₁₃×#480	C₂²	semidirect
67. C₁₃×#477	C₂²	semidirect
68. C₁₃×#475	C₂²	semidirect
69. C₁₃×#470	C₂²	semidirect
70. C₁₃×#469	C₂²	semidirect
71. C₁₃×#469	C₂²	semidirect
72. C₁₃×#468	C₂²	semidirect
73. C₁₃×#468	C₂²	semidirect
74. C₁₃×#468	C₂²	semidirect
75. C₁₃×#466	C₂²	semidirect
76. C₁₃×#465	C₂²	semidirect
77. C₁₃×#464	C₂²	semidirect
78. C₁₃×#464	C₂²	semidirect
79. C₁₃×#464	C₂²	semidirect
80. C₁₃×#463	C₂²	semidirect
81. C₁₃×#460	C₂²	semidirect
82. C₁₃×#459	C₂²	semidirect
85. C₁₃×#452	C₂²	semidirect
86. C₁₃×#452	C₂²	semidirect
87. C₁₃×#451	C₂²	semidirect
88. C₁₃×#451	C₂²	semidirect
89. C₁₃×#451	C₂²	semidirect
90. C₁₃×#450	C₂²	semidirect
91. C₁₃×#450	C₂²	semidirect
95. C₁₃×#449	C₂²	semidirect
96. C₁₃×#449	C₂²	semidirect
97. C₁₃×#449	C₂²	semidirect
99. C₁₃×#448	C₂²	semidirect
100. C₁₃×#448	C₂²	semidirect
102. C₁₃×#447	C₂²	semidirect
103. C₁₃×#441	C₂²	semidirect
104. C₁₃×#440	C₂²	semidirect
105. C₄×C₁₃×Q₁₆	C₂²	semidirect
106. C₄×C₁₃×SD₁₆	C₂²	semidirect
107. C₁₃×#436	C₂²	semidirect
108. C₁₃×#436	C₂²	semidirect
109. C₁₃×#435	C₂²	semidirect
110. C₁₃×#435	C₂²	semidirect
111. C₁₃×#433	C₂²	semidirect
113. C₁₃×#417	C₂²	semidirect
114. C₁₃×#417	C₂²	semidirect
115. C₂×C₁₃×#103	C₂²	semidirect
116. C₁₃×#408	C₂²	semidirect
286. #61650	C₁₃	direct (N × H)
434. #3536	C₂×C₁₃	semidirect
435. #3487	C₂×C₁₃	semidirect
436. #3333	C₂×C₁₃	semidirect
437. #3332	C₂×C₁₃	semidirect
438. #3316	C₂×C₁₃	semidirect
439. #3308	C₂×C₁₃	semidirect
440. #3277	C₂×C₁₃	semidirect
441. #3275	C₂×C₁₃	semidirect
442. #3271	C₂×C₁₃	semidirect
443. #3268	C₂×C₁₃	semidirect
444. #3224	C₂×C₁₃	semidirect
445. #3198	C₂×C₁₃	semidirect
446. #3196	C₂×C₁₃	semidirect
447. #3194	C₂×C₁₃	semidirect
448. #3121	C₂×C₁₃	semidirect
449. #3013	C₂×C₁₃	semidirect
450. #3007	C₂×C₁₃	semidirect
451. #3006	C₂×C₁₃	semidirect
452. #2978	C₂×C₁₃	semidirect
542. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
544. C₂×#137	C₂²×C₁₃	semidirect
545. C₂×#137	C₂²×C₁₃	semidirect
547. C₂×#135	C₂²×C₁₃	semidirect
549. #554	C₂²×C₁₃	semidirect
553. #550	C₂²×C₁₃	semidirect
557. #548	C₂²×C₁₃	semidirect
558. #548	C₂²×C₁₃	semidirect
559. #547	C₂²×C₁₃	semidirect
561. #546	C₂²×C₁₃	semidirect
569. #535	C₂²×C₁₃	semidirect
570. #535	C₂²×C₁₃	semidirect
576. #519	C₂²×C₁₃	semidirect
577. #496	C₂²×C₁₃	semidirect
578. #495	C₂²×C₁₃	semidirect
579. #489	C₂²×C₁₃	semidirect
580. #486	C₂²×C₁₃	semidirect
581. #485	C₂²×C₁₃	semidirect
582. #484	C₂²×C₁₃	semidirect
583. #483	C₂²×C₁₃	semidirect
585. #481	C₂²×C₁₃	semidirect
586. #481	C₂²×C₁₃	semidirect
587. #480	C₂²×C₁₃	semidirect
588. #480	C₂²×C₁₃	semidirect
589. #477	C₂²×C₁₃	semidirect
590. #475	C₂²×C₁₃	semidirect
591. #470	C₂²×C₁₃	semidirect
592. #469	C₂²×C₁₃	semidirect
593. #469	C₂²×C₁₃	semidirect
594. #468	C₂²×C₁₃	semidirect
595. #468	C₂²×C₁₃	semidirect
596. #468	C₂²×C₁₃	semidirect
597. #466	C₂²×C₁₃	semidirect
598. #465	C₂²×C₁₃	semidirect
599. #464	C₂²×C₁₃	semidirect
600. #464	C₂²×C₁₃	semidirect
601. #464	C₂²×C₁₃	semidirect
602. #463	C₂²×C₁₃	semidirect
603. #460	C₂²×C₁₃	semidirect
604. #459	C₂²×C₁₃	semidirect
607. #452	C₂²×C₁₃	semidirect
608. #452	C₂²×C₁₃	semidirect
609. #451	C₂²×C₁₃	semidirect
610. #451	C₂²×C₁₃	semidirect
611. #451	C₂²×C₁₃	semidirect
612. #450	C₂²×C₁₃	semidirect
613. #450	C₂²×C₁₃	semidirect
617. #449	C₂²×C₁₃	semidirect
618. #449	C₂²×C₁₃	semidirect
619. #449	C₂²×C₁₃	semidirect
621. #448	C₂²×C₁₃	semidirect
622. #448	C₂²×C₁₃	semidirect
624. #447	C₂²×C₁₃	semidirect
625. #441	C₂²×C₁₃	semidirect
626. #440	C₂²×C₁₃	semidirect
627. C₄×Q₁₆	C₂²×C₁₃	semidirect
628. C₄×SD₁₆	C₂²×C₁₃	semidirect
629. #436	C₂²×C₁₃	semidirect
630. #436	C₂²×C₁₃	semidirect
631. #435	C₂²×C₁₃	semidirect
632. #435	C₂²×C₁₃	semidirect
633. #433	C₂²×C₁₃	semidirect
635. #417	C₂²×C₁₃	semidirect
636. #417	C₂²×C₁₃	semidirect
637. C₂×#103	C₂²×C₁₃	semidirect
638. #408	C₂²×C₁₃	semidirect
1004. C₁₃	#61650	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3536	2
C₁₃×#3487	2
C₁₃×#3333	2
C₁₃×#3332	2
C₁₃×#3316	2
C₁₃×#3308	2
C₁₃×#3277	2
C₁₃×#3275	2
C₁₃×#3271	2
C₁₃×#3268	2
C₁₃×#3224	2
C₁₃×#3198	2
C₁₃×#3196	2
C₁₃×#3194	2
C₁₃×#3121	2
C₁₃×#3013	2
C₁₃×#3007	2
C₁₃×#3006	2
C₁₃×#2978	2
#61650	13

Subgroups — C13×#61650 #15747989

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61650 #15747989