Subgroups — C₁₃×#61669 #15748008

Order 3328.

2166 conjugacy classes of subgroups.

The subgroup lattice has 1150 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3311	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3307	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3214	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3204	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3012	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3008	C₂	1	2	yes	maximal, complemented
19	C₁₃×#2980	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	2	yes	complemented
21	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
22	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
23	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
24	C₂²×C₁₃×D₈	C₂²	1	2	yes	complemented
25	C₁₃×#560	—	2	2	no	—
26	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#553	C₂²	1	2	yes	complemented
28	C₁₃×#550	—	2	1	no	—
29	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#547	—	2	1	no	—
31	C₁₃×#547	C₂²	1	2	yes	complemented
32	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#546	—	2	2	no	—
34	C₁₃×#546	—	2	1	no	—
35	C₁₃×#546	C₂²	1	2	yes	—
36	C₁₃×#546	C₂²	1	2	yes	complemented
37	C₁₃×#546	C₂²	1	2	yes	complemented
38	D₄²×C₁₃	—	2	1	no	—
39	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
40	D₄²×C₁₃	C₂²	1	2	yes	complemented
41	C₁₃×#542	—	2	1	no	—
42	C₁₃×#538	—	2	2	no	—
43	C₁₃×#537	C₂²	1	2	yes	complemented
44	C₁₃×#537	C₂²	1	2	yes	complemented
45	C₁₃×#535	—	2	1	no	—
46	C₁₃×#535	C₂²	1	2	yes	complemented
47	C₁₃×#534	—	2	1	no	—
48	C₁₃×#534	—	2	1	no	—
49	C₁₃×#532	C₂²	1	1	yes	characteristic
50	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₁₃×#121	—	2	2	no	—
54	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#496	C₂²	1	2	yes	complemented
58	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#489	C₂²	1	2	yes	complemented
61	C₁₃×#485	C₂²	1	2	yes	complemented
62	C₁₃×#483	C₂²	1	2	yes	complemented
63	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#482	C₂²	1	2	yes	complemented
65	C₁₃×#481	C₂²	1	2	yes	complemented
66	C₁₃×#481	C₂²	1	2	yes	complemented
67	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#478	C₂²	1	2	yes	complemented
69	C₁₃×#476	C₂²	1	2	yes	complemented
70	C₁₃×#470	C₂²	1	2	yes	complemented
71	C₁₃×#469	C₂²	1	2	yes	complemented
72	C₁₃×#469	C₂²	1	2	yes	complemented
73	C₁₃×#468	C₂²	1	2	yes	complemented
74	C₁₃×#466	C₂²	1	2	yes	complemented
75	C₁₃×#465	C₂²	1	2	yes	complemented
76	C₁₃×#465	C₂²	1	2	yes	complemented
77	C₁₃×#465	C₂²	1	2	yes	complemented
78	C₁₃×#464	C₂²	1	2	yes	complemented
79	C₁₃×#463	C₂²	1	2	yes	complemented
80	C₁₃×#463	C₂²	1	2	yes	complemented
81	C₁₃×#461	C₂²	1	2	yes	complemented
82	C₁₃×#459	C₂²	1	2	yes	complemented
83	C₁₃×#459	C₂²	1	2	yes	complemented
84	C₁₃×#452	C₂²	1	2	yes	complemented
85	C₁₃×#452	C₂²	1	2	yes	complemented
86	C₁₃×#452	C₂²	1	2	yes	complemented
87	C₁₃×#450	C₂²	1	2	yes	complemented
88	C₁₃×#450	C₂²	1	2	yes	complemented
89	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#449	C₂²	1	2	yes	complemented
91	C₁₃×#449	C₂²	1	2	yes	complemented
92	C₁₃×#449	C₂²	1	2	yes	complemented
93	C₁₃×#449	C₂²	1	2	yes	complemented
94	C₁₃×#449	C₂²	1	2	yes	complemented
95	C₁₃×#449	C₂²	1	2	yes	complemented
96	C₁₃×#449	C₂²	1	2	yes	complemented
97	C₁₃×#447	C₂²	1	1	yes	characteristic
98	C₁₃×#447	C₂²	1	2	yes	complemented
99	C₁₃×#447	C₂²	1	2	yes	complemented
100	C₁₃×#447	C₂²	1	2	yes	complemented
101	C₁₃×#447	C₂²	1	2	yes	complemented
102	C₁₃×#447	C₂²	1	2	yes	complemented
103	C₁₃×#442	C₂²	1	2	yes	complemented
104	C₁₃×#442	C₂²	1	2	yes	complemented
105	C₁₃×#442	C₂²	1	2	yes	complemented
106	C₁₃×#440	C₂²	1	2	yes	complemented
107	C₁₃×#435	C₂²	1	2	yes	complemented
108	C₁₃×#435	C₂²	1	2	yes	complemented
109	C₁₃×#435	C₂²	1	2	yes	complemented
110	C₁₃×#435	C₂²	1	2	yes	complemented
111	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#418	C₂²	1	2	yes	complemented
114	C₁₃×#417	C₂²	1	2	yes	complemented
115	C₁₃×#416	C₂²	1	2	yes	complemented
116	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
117	C₁₃×#408	C₂²	1	2	yes	complemented
118	C₁₃×#408	C₂²	1	2	yes	complemented
119	C₁₃×H(5,𝔽₂)	—	4	4	no	—
120	C₁₃×H(5,𝔽₂)	—	4	4	no	—
121	C₂×C₁₃×#41	—	2	2	no	—
122	C₂×C₁₃×#41	—	2	1	no	—
123	C₂×C₁₃×#41	—	2	1	no	—
124	C₂×C₁₃×#41	C₂³	1	2	yes	—
125	C₂×C₁₃×#41	C₂³	1	2	yes	—
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	C₂²×D₄×C₁₃	—	2	2	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	1	no	—
134	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
137	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
138	C₂³×C₄×C₁₃	—	2	1	no	—
139	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
140	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
141	C₁₃×#135	—	4	4	no	—
142	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×D₈	—	4	4	no	—
149	C₂×C₁₃×D₈	C₂³	1	2	yes	—
150	C₂×C₁₃×D₈	C₂³	1	2	yes	—
151	C₂×C₁₃×D₈	C₂³	1	2	yes	—
152	C₂×C₁₃×D₈	C₂³	1	2	yes	—
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
154	C₂×C₁₃×D₈	C₂³	1	2	yes	—
155	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
157	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
158	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
159	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×#127	—	2	1	no	—
163	C₁₃×#127	—	2	2	no	—
164	C₁₃×#127	D₄	1	1	yes	characteristic
165	C₁₃×#127	C₂³	1	1	yes	characteristic
166	C₁₃×#127	C₂³	1	1	yes	characteristic
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	1	no	—
170	C₁₃×#125	C₂³	1	1	yes	characteristic
171	C₁₃×#124	—	2	2	no	—
172	C₁₃×#124	—	2	1	no	—
173	C₁₃×#124	—	2	1	no	—
174	C₁₃×#124	D₄	1	2	yes	—
175	C₁₃×#124	C₂³	1	1	yes	characteristic
176	C₁₃×#124	C₂³	1	2	yes	—
177	C₁₃×#123	—	2	1	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	2	no	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×C₂²⋊Q₈	—	2	2	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	—	2	1	no	—
188	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
189	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
190	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
191	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
192	C₁₃×#121	—	2	2	no	—
193	C₁₃×#121	—	2	2	no	—
194	C₁₃×#121	—	2	2	no	—
195	C₁₃×#121	—	2	2	no	—
196	C₁₃×#121	—	2	2	no	—
197	C₁₃×#121	—	2	2	no	—
198	C₁₃×#121	—	2	2	no	—
199	C₁₃×#121	—	2	2	no	—
200	C₁₃×#121	—	2	1	no	—
201	C₁₃×#121	—	2	1	no	—
202	C₁₃×#121	—	2	1	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	1	no	—
205	C₁₃×#121	—	2	2	no	—
206	C₁₃×#121	—	2	2	no	—
207	C₁₃×#121	—	2	2	no	—
208	C₁₃×#121	—	2	2	no	—
209	C₁₃×#121	D₄	1	2	yes	—
210	C₁₃×#121	D₄	1	1	yes	characteristic
211	C₁₃×#121	D₄	1	1	yes	characteristic
212	C₁₃×#121	C₂³	1	1	yes	characteristic
213	C₁₃×#121	C₂³	1	2	yes	—
214	C₁₃×#121	C₂³	1	2	yes	—
215	C₁₃×#121	C₂³	1	2	yes	—
216	C₁₃×#121	C₂³	1	2	yes	—
217	C₁₃×#121	C₂³	1	2	yes	—
218	C₁₃×#121	C₂³	1	2	yes	—
219	C₁₃×#120	—	2	2	no	—
220	C₁₃×#120	—	2	2	no	—
221	C₁₃×#120	—	2	2	no	—
222	C₁₃×#120	—	2	2	no	—
223	C₁₃×#120	—	2	2	no	—
224	C₁₃×#120	—	2	2	no	—
225	C₁₃×#120	—	2	2	no	—
226	C₁₃×#120	—	2	2	no	—
227	C₄×Q₈×C₁₃	—	2	1	no	—
228	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	C₂³	1	2	yes	—
238	C₄×D₄×C₁₃	C₂³	1	2	yes	—
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	2	yes	—
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	2	yes	—
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
244	C₁₃×#117	—	2	1	no	—
245	C₁₃×#117	C₂³	1	2	yes	—
246	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
247	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
250	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
251	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
252	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
253	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
254	C₁₃×#107	C₂³	1	2	yes	—
255	C₁₃×#106	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×#102	C₂³	1	2	yes	—
266	C₁₃×#102	C₂³	1	2	yes	—
267	C₁₃×#102	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	1	yes	characteristic
277	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
278	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
280	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
282	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
283	C₁₃×#97	C₂³	1	2	yes	—
284	C₁₃×#97	C₂³	1	1	yes	characteristic
285	C₁₃×#97	C₂³	1	1	yes	characteristic
286	#61669	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
287	C₂⁴×C₁₃	—	2	1	no	—
288	C₂⁴×C₁₃	—	2	2	no	—
289	C₂⁴×C₁₃	—	2	2	no	—
290	C₂⁴×C₁₃	—	2	2	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	2	no	—
299	C₁₃×#41	—	4	2	no	—
300	C₁₃×#41	—	4	2	no	—
301	C₁₃×#41	—	4	8	no	—
302	C₁₃×#41	—	8	2	no	—
303	C₁₃×#41	—	8	2	no	—
304	C₂×Q₈×C₁₃	—	2	1	no	—
305	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
306	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
307	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
308	C₂×D₄×C₁₃	—	2	4	no	—
309	C₂×D₄×C₁₃	—	2	4	no	—
310	C₂×D₄×C₁₃	—	2	4	no	—
311	C₂×D₄×C₁₃	—	2	2	no	—
312	C₂×D₄×C₁₃	—	2	2	no	—
313	C₂×D₄×C₁₃	—	2	2	no	—
314	C₂×D₄×C₁₃	—	2	1	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	2	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	1	no	—
324	C₂×D₄×C₁₃	—	2	1	no	—
325	C₂×D₄×C₁₃	—	2	2	no	—
326	C₂×D₄×C₁₃	—	2	2	no	—
327	C₂×D₄×C₁₃	—	2	1	no	—
328	C₂×D₄×C₁₃	—	2	1	no	—
329	C₂×D₄×C₁₃	—	2	2	no	—
330	C₂×D₄×C₁₃	—	4	2	no	—
331	C₂×D₄×C₁₃	—	4	2	no	—
332	C₂×D₄×C₁₃	—	4	2	no	—
333	C₂×D₄×C₁₃	—	4	2	no	—
334	C₂×D₄×C₁₃	—	4	8	no	—
335	C₂×D₄×C₁₃	—	4	8	no	—
336	C₂×D₄×C₁₃	—	4	8	no	—
337	C₂×D₄×C₁₃	—	8	4	no	—
338	C₂×D₄×C₁₃	—	8	2	no	—
339	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
340	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
341	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
342	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
343	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
345	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
346	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
348	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
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	2	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	2	2	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	8	2	no	—
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	2	yes	—
365	C₁₃×Q₁₆	—	4	2	no	—
366	C₁₃×SD₁₆	—	2	4	no	—
367	C₁₃×SD₁₆	—	4	2	no	—
368	C₁₃×SD₁₆	—	4	2	no	—
369	C₁₃×SD₁₆	—	4	2	no	—
370	C₁₃×SD₁₆	—	4	2	no	—
371	C₁₃×D₈	—	2	4	no	—
372	C₁₃×D₈	—	2	4	no	—
373	C₁₃×D₈	—	2	4	no	—
374	C₁₃×D₈	—	4	2	no	—
375	C₁₃×D₈	—	4	2	no	—
376	C₁₃×D₈	—	4	2	no	—
377	C₁₃×M₁₆	—	4	2	no	—
378	C₁₃×M₁₆	—	4	2	no	—
379	C₂×C₈×C₁₃	—	4	2	no	—
380	C₂×C₈×C₁₃	—	4	2	no	—
381	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
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	C₁₃×C₄⋊C₄	—	2	1	no	—
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	1	no	—
392	C₁₃×C₄⋊C₄	—	2	1	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	1	no	—
397	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
398	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
401	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
403	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
404	C₁₃×C₂²⋊C₄	—	2	2	no	—
405	C₁₃×C₂²⋊C₄	—	2	2	no	—
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	2	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	1	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	C₄²×C₁₃	—	2	1	no	—
429	C₄²×C₁₃	—	2	2	no	—
430	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
431	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
432	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
434	#3546	C₂×C₁₃	1	1	yes	characteristic, complemented
435	#3496	C₂×C₁₃	1	1	yes	characteristic, complemented
436	#3318	C₂×C₁₃	1	2	yes	complemented
437	#3311	C₂×C₁₃	1	2	yes	complemented
438	#3307	C₂×C₁₃	1	2	yes	complemented
439	#3306	C₂×C₁₃	1	2	yes	complemented
440	#3268	C₂×C₁₃	1	2	yes	complemented
441	#3267	C₂×C₁₃	1	2	yes	complemented
442	#3264	C₂×C₁₃	1	2	yes	complemented
443	#3264	C₂×C₁₃	1	2	yes	complemented
444	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
445	#3214	C₂×C₁₃	1	1	yes	characteristic, complemented
446	#3204	C₂×C₁₃	1	2	yes	complemented
447	#3198	C₂×C₁₃	1	2	yes	complemented
448	#3114	C₂×C₁₃	1	1	yes	characteristic, complemented
449	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3012	C₂×C₁₃	1	2	yes	complemented
451	#3008	C₂×C₁₃	1	2	yes	complemented
452	#2980	C₂×C₁₃	1	1	yes	characteristic, complemented
453	C₂³×C₁₃	—	2	4	no	—
454	C₂³×C₁₃	—	2	2	no	—
455	C₂³×C₁₃	—	2	1	no	—
456	C₂³×C₁₃	—	2	2	no	—
457	C₂³×C₁₃	—	2	2	no	—
458	C₂³×C₁₃	—	4	4	no	—
459	C₂³×C₁₃	—	4	4	no	—
460	C₂³×C₁₃	—	8	1	no	—
461	C₂³×C₁₃	—	8	1	no	—
462	C₂³×C₁₃	—	8	2	no	—
463	C₂³×C₁₃	—	8	2	no	—
464	C₂³×C₁₃	—	8	2	no	—
465	C₂³×C₁₃	—	8	2	no	—
466	C₂³×C₁₃	—	8	2	no	—
467	C₂³×C₁₃	—	8	2	no	—
468	C₂³×C₁₃	—	8	2	no	—
469	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
470	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
471	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
472	Q₈×C₁₃	—	2	2	no	—
473	Q₈×C₁₃	—	2	2	no	—
474	Q₈×C₁₃	—	2	2	no	—
475	Q₈×C₁₃	—	4	2	no	—
476	Q₈×C₁₃	—	4	2	no	—
477	D₄×C₁₃	—	2	4	no	—
478	D₄×C₁₃	—	2	2	no	—
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	2	no	—
486	D₄×C₁₃	—	4	2	no	—
487	D₄×C₁₃	—	4	2	no	—
488	D₄×C₁₃	—	4	1	no	—
489	D₄×C₁₃	—	4	1	no	—
490	D₄×C₁₃	—	4	4	no	—
491	D₄×C₁₃	—	4	4	no	—
492	D₄×C₁₃	—	4	2	no	—
493	D₄×C₁₃	—	4	2	no	—
494	D₄×C₁₃	—	4	4	no	—
495	D₄×C₁₃	—	4	4	no	—
496	D₄×C₁₃	—	4	4	no	—
497	D₄×C₁₃	—	8	1	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	D₄×C₁₃	—	8	2	no	—
505	D₄×C₁₃	—	8	2	no	—
506	D₄×C₁₃	—	8	2	no	—
507	D₄×C₁₃	—	8	2	no	—
508	D₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
509	C₂×C₄×C₁₃	—	2	2	no	—
510	C₂×C₄×C₁₃	—	2	2	no	—
511	C₂×C₄×C₁₃	—	2	2	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	2	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	4	1	no	—
521	C₂×C₄×C₁₃	—	4	1	no	—
522	C₂×C₄×C₁₃	—	4	4	no	—
523	C₂×C₄×C₁₃	—	4	4	no	—
524	C₂×C₄×C₁₃	—	4	4	no	—
525	C₂×C₄×C₁₃	—	4	4	no	—
526	C₂×C₄×C₁₃	—	4	2	no	—
527	C₂×C₄×C₁₃	—	8	2	no	—
528	C₂×C₄×C₁₃	—	8	2	no	—
529	C₂×C₄×C₁₃	—	8	2	no	—
530	C₂×C₄×C₁₃	—	8	1	no	—
531	C₂×C₄×C₁₃	—	8	2	no	—
532	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
533	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
534	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
535	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
536	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
537	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
539	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
540	C₈×C₁₃	—	2	2	no	—
541	C₈×C₁₃	—	2	2	no	—
542	C₈×C₁₃	—	2	2	no	—
543	C₈×C₁₃	—	2	2	no	—
544	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	2	yes	complemented
545	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
546	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
547	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
548	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
549	#560	—	2	2	no	—
550	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
551	#553	C₂²×C₁₃	1	2	yes	complemented
552	#550	—	2	1	no	—
553	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
554	#547	—	2	1	no	—
555	#547	C₂²×C₁₃	1	2	yes	complemented
556	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
557	#546	—	2	2	no	—
558	#546	—	2	1	no	—
559	#546	C₂²×C₁₃	1	2	yes	—
560	#546	C₂²×C₁₃	1	2	yes	complemented
561	#546	C₂²×C₁₃	1	2	yes	complemented
562	D₄²	—	2	1	no	—
563	D₄²	C₂²×C₁₃	1	2	yes	complemented
564	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
565	#542	—	2	1	no	—
566	#538	—	2	2	no	—
567	#537	C₂²×C₁₃	1	2	yes	complemented
568	#537	C₂²×C₁₃	1	2	yes	complemented
569	#535	—	2	1	no	—
570	#535	C₂²×C₁₃	1	2	yes	complemented
571	#534	—	2	1	no	—
572	#534	—	2	1	no	—
573	#532	C₂²×C₁₃	1	1	yes	characteristic
574	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
575	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
576	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
577	C₂×#121	—	2	2	no	—
578	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
579	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
580	#496	C₂²×C₁₃	1	2	yes	complemented
581	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
582	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
583	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
584	#489	C₂²×C₁₃	1	2	yes	complemented
585	#485	C₂²×C₁₃	1	2	yes	complemented
586	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
587	#483	C₂²×C₁₃	1	2	yes	complemented
588	#482	C₂²×C₁₃	1	2	yes	complemented
589	#481	C₂²×C₁₃	1	2	yes	complemented
590	#481	C₂²×C₁₃	1	2	yes	complemented
591	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
592	#478	C₂²×C₁₃	1	2	yes	complemented
593	#476	C₂²×C₁₃	1	2	yes	complemented
594	#470	C₂²×C₁₃	1	2	yes	complemented
595	#469	C₂²×C₁₃	1	2	yes	complemented
596	#469	C₂²×C₁₃	1	2	yes	complemented
597	#468	C₂²×C₁₃	1	2	yes	complemented
598	#466	C₂²×C₁₃	1	2	yes	complemented
599	#465	C₂²×C₁₃	1	2	yes	complemented
600	#465	C₂²×C₁₃	1	2	yes	complemented
601	#465	C₂²×C₁₃	1	2	yes	complemented
602	#464	C₂²×C₁₃	1	2	yes	complemented
603	#463	C₂²×C₁₃	1	2	yes	complemented
604	#463	C₂²×C₁₃	1	2	yes	complemented
605	#461	C₂²×C₁₃	1	2	yes	complemented
606	#459	C₂²×C₁₃	1	2	yes	complemented
607	#459	C₂²×C₁₃	1	2	yes	complemented
608	#452	C₂²×C₁₃	1	2	yes	complemented
609	#452	C₂²×C₁₃	1	2	yes	complemented
610	#452	C₂²×C₁₃	1	2	yes	complemented
611	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#450	C₂²×C₁₃	1	2	yes	complemented
613	#450	C₂²×C₁₃	1	2	yes	complemented
614	#449	C₂²×C₁₃	1	2	yes	complemented
615	#449	C₂²×C₁₃	1	2	yes	complemented
616	#449	C₂²×C₁₃	1	2	yes	complemented
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	#449	C₂²×C₁₃	1	2	yes	complemented
621	#447	C₂²×C₁₃	1	1	yes	characteristic
622	#447	C₂²×C₁₃	1	2	yes	complemented
623	#447	C₂²×C₁₃	1	2	yes	complemented
624	#447	C₂²×C₁₃	1	2	yes	complemented
625	#447	C₂²×C₁₃	1	2	yes	complemented
626	#447	C₂²×C₁₃	1	2	yes	complemented
627	#442	C₂²×C₁₃	1	2	yes	complemented
628	#442	C₂²×C₁₃	1	2	yes	complemented
629	#442	C₂²×C₁₃	1	2	yes	complemented
630	#440	C₂²×C₁₃	1	2	yes	complemented
631	#435	C₂²×C₁₃	1	2	yes	complemented
632	#435	C₂²×C₁₃	1	2	yes	complemented
633	#435	C₂²×C₁₃	1	2	yes	complemented
634	#435	C₂²×C₁₃	1	2	yes	complemented
635	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
636	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#418	C₂²×C₁₃	1	2	yes	complemented
638	#417	C₂²×C₁₃	1	2	yes	complemented
639	#416	C₂²×C₁₃	1	2	yes	complemented
640	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
641	#408	C₂²×C₁₃	1	2	yes	complemented
642	#408	C₂²×C₁₃	1	2	yes	complemented
643	C₂²×C₁₃	—	2	1	no	—
644	C₂²×C₁₃	—	2	1	no	—
645	C₂²×C₁₃	—	2	2	no	—
646	C₂²×C₁₃	—	2	2	no	—
647	C₂²×C₁₃	—	2	2	no	—
648	C₂²×C₁₃	—	2	2	no	—
649	C₂²×C₁₃	—	2	1	no	—
650	C₂²×C₁₃	—	2	2	no	—
651	C₂²×C₁₃	—	2	2	no	—
652	C₂²×C₁₃	—	2	4	no	—
653	C₂²×C₁₃	—	4	2	no	—
654	C₂²×C₁₃	—	4	2	no	—
655	C₂²×C₁₃	—	4	1	no	—
656	C₂²×C₁₃	—	4	2	no	—
657	C₂²×C₁₃	—	4	2	no	—
658	C₂²×C₁₃	—	4	2	no	—
659	C₂²×C₁₃	—	4	2	no	—
660	C₂²×C₁₃	—	4	1	no	—
661	C₂²×C₁₃	—	4	2	no	—
662	C₂²×C₁₃	—	4	2	no	—
663	C₂²×C₁₃	—	4	1	no	—
664	C₂²×C₁₃	—	8	4	no	—
665	C₂²×C₁₃	—	16	4	no	—
666	C₂²×C₁₃	—	16	4	no	—
667	C₂²×C₁₃	—	16	4	no	—
668	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
669	C₄×C₁₃	—	2	1	no	—
670	C₄×C₁₃	—	2	1	no	—
671	C₄×C₁₃	—	2	1	no	—
672	C₄×C₁₃	—	2	1	no	—
673	C₄×C₁₃	—	2	1	no	—
674	C₄×C₁₃	—	2	2	no	—
675	C₄×C₁₃	—	2	2	no	—
676	C₄×C₁₃	—	4	2	no	—
677	C₄×C₁₃	—	4	1	no	—
678	C₄×C₁₃	—	4	2	no	—
679	C₄×C₁₃	—	4	1	no	—
680	C₄×C₁₃	—	4	2	no	—
681	C₄×C₁₃	—	4	1	no	—
682	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
683	H(5,𝔽₂)	—	4	4	no	—
684	H(5,𝔽₂)	—	4	4	no	—
685	C₂×#41	—	2	2	no	—
686	C₂×#41	—	2	1	no	—
687	C₂×#41	—	2	1	no	—
688	C₂×#41	C₂³×C₁₃	1	2	yes	—
689	C₂×#41	C₂³×C₁₃	1	2	yes	—
690	C₂×#41	C₂³×C₁₃	1	2	yes	—
691	C₂×#41	C₂³×C₁₃	1	2	yes	—
692	C₂×#41	C₂³×C₁₃	1	2	yes	—
693	C₂²×D₄	—	2	2	no	—
694	C₂²×D₄	—	2	2	no	—
695	C₂²×D₄	—	2	2	no	—
696	C₂²×D₄	—	2	2	no	—
697	C₂²×D₄	—	2	1	no	—
698	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
699	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
700	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
701	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
702	C₂³×C₄	—	2	1	no	—
703	AGL(1,ℤ/8)	—	4	4	no	—
704	AGL(1,ℤ/8)	—	4	4	no	—
705	#135	—	4	4	no	—
706	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
708	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
709	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
710	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
711	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
712	C₂×D₈	—	4	4	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	2	yes	—
719	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
720	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
721	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
722	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
723	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
724	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
725	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
726	#127	—	2	1	no	—
727	#127	—	2	2	no	—
728	#127	D₄×C₁₃	1	1	yes	characteristic
729	#127	C₂³×C₁₃	1	1	yes	characteristic
730	#127	C₂³×C₁₃	1	1	yes	characteristic
731	#126	—	2	2	no	—
732	#126	—	2	2	no	—
733	#126	—	2	1	no	—
734	#125	C₂³×C₁₃	1	1	yes	characteristic
735	#124	—	2	2	no	—
736	#124	—	2	1	no	—
737	#124	—	2	1	no	—
738	#124	D₄×C₁₃	1	2	yes	—
739	#124	C₂³×C₁₃	1	1	yes	characteristic
740	#124	C₂³×C₁₃	1	2	yes	—
741	#123	—	2	1	no	—
742	#123	—	2	2	no	—
743	#123	—	2	2	no	—
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	1	no	—
752	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
753	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
754	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
755	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
756	#121	—	2	2	no	—
757	#121	—	2	2	no	—
758	#121	—	2	2	no	—
759	#121	—	2	2	no	—
760	#121	—	2	2	no	—
761	#121	—	2	2	no	—
762	#121	—	2	2	no	—
763	#121	—	2	2	no	—
764	#121	—	2	1	no	—
765	#121	—	2	1	no	—
766	#121	—	2	1	no	—
767	#121	—	2	2	no	—
768	#121	—	2	1	no	—
769	#121	—	2	2	no	—
770	#121	—	2	2	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	D₄×C₁₃	1	2	yes	—
774	#121	D₄×C₁₃	1	1	yes	characteristic
775	#121	D₄×C₁₃	1	1	yes	characteristic
776	#121	C₂³×C₁₃	1	1	yes	characteristic
777	#121	C₂³×C₁₃	1	2	yes	—
778	#121	C₂³×C₁₃	1	2	yes	—
779	#121	C₂³×C₁₃	1	2	yes	—
780	#121	C₂³×C₁₃	1	2	yes	—
781	#121	C₂³×C₁₃	1	2	yes	—
782	#121	C₂³×C₁₃	1	2	yes	—
783	#120	—	2	2	no	—
784	#120	—	2	2	no	—
785	#120	—	2	2	no	—
786	#120	—	2	2	no	—
787	#120	—	2	2	no	—
788	#120	—	2	2	no	—
789	#120	—	2	2	no	—
790	#120	—	2	2	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	2	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	C₂³×C₁₃	1	2	yes	—
802	C₄×D₄	C₂³×C₁₃	1	2	yes	—
803	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
804	C₄×D₄	C₂³×C₁₃	1	2	yes	—
805	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
806	C₄×D₄	C₂³×C₁₃	1	2	yes	—
807	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
808	#117	—	2	1	no	—
809	#117	C₂³×C₁₃	1	2	yes	—
810	C₂×C₄⋊C₄	—	2	2	no	—
811	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
812	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
813	C₂×C₂²⋊C₄	—	2	1	no	—
814	C₂×C₂²⋊C₄	—	2	2	no	—
815	C₂×C₂²⋊C₄	—	2	2	no	—
816	C₂×C₂²⋊C₄	—	2	2	no	—
817	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
818	#107	C₂³×C₁₃	1	2	yes	—
819	#106	C₂³×C₁₃	1	2	yes	—
820	#106	C₂³×C₁₃	1	2	yes	—
821	#106	C₂³×C₁₃	1	2	yes	—
822	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
823	C₄⋊C₈	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	#102	C₂³×C₁₃	1	2	yes	—
838	#102	C₂³×C₁₃	1	2	yes	—
839	#102	C₂³×C₁₃	1	2	yes	—
840	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
841	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
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	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
846	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
847	#97	C₂³×C₁₃	1	2	yes	—
848	#97	C₂³×C₁₃	1	1	yes	characteristic
849	#97	C₂³×C₁₃	1	1	yes	characteristic
850	C₂×C₁₃	—	4	1	no	—
851	C₂×C₁₃	—	4	2	no	—
852	C₂×C₁₃	—	4	2	no	—
853	C₂×C₁₃	—	4	4	no	—
854	C₂×C₁₃	—	8	2	no	—
855	C₂×C₁₃	—	8	1	no	—
856	C₂×C₁₃	—	8	2	no	—
857	C₂×C₁₃	#3484	1	1	yes	characteristic
858	C₂×C₁₃	#3585	1	1	yes	characteristic
859	C₂×C₁₃	#3585	1	1	yes	characteristic
860	C₂⁴	—	2	1	no	—
861	C₂⁴	—	2	2	no	—
862	C₂⁴	—	2	2	no	—
863	C₂⁴	—	2	2	no	—
864	#41	—	2	4	no	—
865	#41	—	2	4	no	—
866	#41	—	4	2	no	—
867	#41	—	4	2	no	—
868	#41	—	4	2	no	—
869	#41	—	4	2	no	—
870	#41	—	4	2	no	—
871	#41	—	4	2	no	—
872	#41	—	4	2	no	—
873	#41	—	4	2	no	—
874	#41	—	4	8	no	—
875	#41	—	8	2	no	—
876	#41	—	8	2	no	—
877	C₂×Q₈	—	2	1	no	—
878	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
879	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
880	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
881	C₂×D₄	—	2	4	no	—
882	C₂×D₄	—	2	4	no	—
883	C₂×D₄	—	2	4	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	2	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	2	1	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	2	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	1	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	1	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	4	2	no	—
904	C₂×D₄	—	4	2	no	—
905	C₂×D₄	—	4	2	no	—
906	C₂×D₄	—	4	2	no	—
907	C₂×D₄	—	4	8	no	—
908	C₂×D₄	—	4	8	no	—
909	C₂×D₄	—	4	8	no	—
910	C₂×D₄	—	8	4	no	—
911	C₂×D₄	—	8	2	no	—
912	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
913	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
914	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
915	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
916	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
917	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
918	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
919	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
920	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
921	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
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	—	2	1	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	8	2	no	—
933	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
934	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
936	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
937	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
938	Q₁₆	—	4	2	no	—
939	SD₁₆	—	2	4	no	—
940	SD₁₆	—	4	2	no	—
941	SD₁₆	—	4	2	no	—
942	SD₁₆	—	4	2	no	—
943	SD₁₆	—	4	2	no	—
944	D₈	—	2	4	no	—
945	D₈	—	2	4	no	—
946	D₈	—	2	4	no	—
947	D₈	—	4	2	no	—
948	D₈	—	4	2	no	—
949	D₈	—	4	2	no	—
950	M₁₆	—	4	2	no	—
951	M₁₆	—	4	2	no	—
952	C₂×C₈	—	4	2	no	—
953	C₂×C₈	—	4	2	no	—
954	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
955	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
956	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
957	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
971	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
972	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
973	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
974	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
975	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
976	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
998	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
999	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1000	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1004	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1005	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1006	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1007	C₁₃	#61669	1	1	yes	characteristic, direct product factor, Sylow
1008	C₂³	—	2	4	no	—
1009	C₂³	—	2	2	no	—
1010	C₂³	—	2	1	no	—
1011	C₂³	—	2	2	no	—
1012	C₂³	—	2	2	no	—
1013	C₂³	—	4	4	no	—
1014	C₂³	—	4	4	no	—
1015	C₂³	—	8	1	no	—
1016	C₂³	—	8	1	no	—
1017	C₂³	—	8	2	no	—
1018	C₂³	—	8	2	no	—
1019	C₂³	—	8	2	no	—
1020	C₂³	—	8	2	no	—
1021	C₂³	—	8	2	no	—
1022	C₂³	—	8	2	no	—
1023	C₂³	—	8	2	no	—
1024	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1025	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1026	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1027	Q₈	—	2	2	no	—
1028	Q₈	—	2	2	no	—
1029	Q₈	—	2	2	no	—
1030	Q₈	—	4	2	no	—
1031	Q₈	—	4	2	no	—
1032	D₄	—	2	4	no	—
1033	D₄	—	2	2	no	—
1034	D₄	—	2	2	no	—
1035	D₄	—	2	2	no	—
1036	D₄	—	2	2	no	—
1037	D₄	—	2	2	no	—
1038	D₄	—	2	2	no	—
1039	D₄	—	4	2	no	—
1040	D₄	—	4	2	no	—
1041	D₄	—	4	2	no	—
1042	D₄	—	4	2	no	—
1043	D₄	—	4	1	no	—
1044	D₄	—	4	1	no	—
1045	D₄	—	4	4	no	—
1046	D₄	—	4	4	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	4	2	no	—
1049	D₄	—	4	4	no	—
1050	D₄	—	4	4	no	—
1051	D₄	—	4	4	no	—
1052	D₄	—	8	2	no	—
1053	D₄	—	8	1	no	—
1054	D₄	—	8	1	no	—
1055	D₄	—	8	2	no	—
1056	D₄	—	8	2	no	—
1057	D₄	—	8	2	no	—
1058	D₄	—	8	1	no	—
1059	D₄	—	8	2	no	—
1060	D₄	—	8	2	no	—
1061	D₄	—	8	2	no	—
1062	D₄	—	8	2	no	—
1063	D₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	4	1	no	—
1076	C₂×C₄	—	4	1	no	—
1077	C₂×C₄	—	4	4	no	—
1078	C₂×C₄	—	4	4	no	—
1079	C₂×C₄	—	4	4	no	—
1080	C₂×C₄	—	4	4	no	—
1081	C₂×C₄	—	4	2	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	—	8	2	no	—
1084	C₂×C₄	—	8	2	no	—
1085	C₂×C₄	—	8	1	no	—
1086	C₂×C₄	—	8	2	no	—
1087	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1088	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1089	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1090	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1091	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1092	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1093	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1094	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1095	C₈	—	2	2	no	—
1096	C₈	—	2	2	no	—
1097	C₈	—	2	2	no	—
1098	C₈	—	2	2	no	—
1099	C₂²	—	2	1	no	—
1100	C₂²	—	2	1	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	2	2	no	—
1103	C₂²	—	2	2	no	—
1104	C₂²	—	2	2	no	—
1105	C₂²	—	2	1	no	—
1106	C₂²	—	2	2	no	—
1107	C₂²	—	2	2	no	—
1108	C₂²	—	2	4	no	—
1109	C₂²	—	4	2	no	—
1110	C₂²	—	4	2	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	2	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	—	4	2	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	2	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	—	8	4	no	—
1121	C₂²	—	16	4	no	—
1122	C₂²	—	16	4	no	—
1123	C₂²	—	16	4	no	—
1124	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1125	C₄	—	2	1	no	—
1126	C₄	—	2	1	no	—
1127	C₄	—	2	1	no	—
1128	C₄	—	2	1	no	—
1129	C₄	—	2	1	no	—
1130	C₄	—	2	2	no	—
1131	C₄	—	2	2	no	—
1132	C₄	—	4	2	no	—
1133	C₄	—	4	1	no	—
1134	C₄	—	4	2	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	2	no	—
1137	C₄	—	4	1	no	—
1138	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1139	C₂	—	4	1	no	—
1140	C₂	—	4	2	no	—
1141	C₂	—	4	2	no	—
1142	C₂	—	4	4	no	—
1143	C₂	—	8	1	no	—
1144	C₂	—	8	2	no	—
1145	C₂	—	8	2	no	—
1146	C₂	C₁₃×#3484	1	1	yes	characteristic
1147	C₂	C₁₃×#3585	1	1	yes	characteristic
1148	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3546	C₂	semidirect
2. C₁₃×#3496	C₂	semidirect
3. C₁₃×#3318	C₂	semidirect
4. C₁₃×#3311	C₂	semidirect
5. C₁₃×#3307	C₂	semidirect
6. C₁₃×#3306	C₂	semidirect
7. C₁₃×#3268	C₂	semidirect
8. C₁₃×#3267	C₂	semidirect
9. C₁₃×#3264	C₂	semidirect
10. C₁₃×#3264	C₂	semidirect
11. C₁₃×#3219	C₂	semidirect
12. C₁₃×#3214	C₂	semidirect
13. C₁₃×#3204	C₂	semidirect
14. C₁₃×#3198	C₂	semidirect
15. C₁₃×#3114	C₂	semidirect
16. C₁₃×#3109	C₂	semidirect
17. C₁₃×#3012	C₂	semidirect
18. C₁₃×#3008	C₂	semidirect
19. C₁₃×#2980	C₂	semidirect
20. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
21. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
22. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
23. C₂×C₁₃×#135	C₂²	semidirect
24. C₂²×C₁₃×D₈	C₂²	semidirect
26. C₁₃×#556	C₂²	semidirect
27. C₁₃×#553	C₂²	semidirect
29. C₁₃×#550	C₂²	semidirect
31. C₁₃×#547	C₂²	semidirect
32. C₁₃×#547	C₂²	semidirect
36. C₁₃×#546	C₂²	semidirect
37. C₁₃×#546	C₂²	semidirect
39. D₄²×C₁₃	C₂²	semidirect
40. D₄²×C₁₃	C₂²	semidirect
43. C₁₃×#537	C₂²	semidirect
44. C₁₃×#537	C₂²	semidirect
46. C₁₃×#535	C₂²	semidirect
50. C₁₃×#532	C₂²	semidirect
51. C₁₃×#532	C₂²	semidirect
52. C₁₃×#529	C₂²	semidirect
54. C₂×C₄×D₄×C₁₃	C₂²	semidirect
55. C₁₃×#497	C₂²	semidirect
56. C₁₃×#496	C₂²	semidirect
57. C₁₃×#496	C₂²	semidirect
58. C₁₃×#491	C₂²	semidirect
59. C₁₃×#490	C₂²	semidirect
60. C₁₃×#489	C₂²	semidirect
61. C₁₃×#485	C₂²	semidirect
62. C₁₃×#483	C₂²	semidirect
63. C₁₃×#483	C₂²	semidirect
64. C₁₃×#482	C₂²	semidirect
65. C₁₃×#481	C₂²	semidirect
66. C₁₃×#481	C₂²	semidirect
67. C₁₃×#480	C₂²	semidirect
68. C₁₃×#478	C₂²	semidirect
69. C₁₃×#476	C₂²	semidirect
70. C₁₃×#470	C₂²	semidirect
71. C₁₃×#469	C₂²	semidirect
72. C₁₃×#469	C₂²	semidirect
73. C₁₃×#468	C₂²	semidirect
74. C₁₃×#466	C₂²	semidirect
75. C₁₃×#465	C₂²	semidirect
76. C₁₃×#465	C₂²	semidirect
77. C₁₃×#465	C₂²	semidirect
78. C₁₃×#464	C₂²	semidirect
79. C₁₃×#463	C₂²	semidirect
80. C₁₃×#463	C₂²	semidirect
81. C₁₃×#461	C₂²	semidirect
82. C₁₃×#459	C₂²	semidirect
83. C₁₃×#459	C₂²	semidirect
84. C₁₃×#452	C₂²	semidirect
85. C₁₃×#452	C₂²	semidirect
86. C₁₃×#452	C₂²	semidirect
87. C₁₃×#450	C₂²	semidirect
88. C₁₃×#450	C₂²	semidirect
89. C₁₃×#450	C₂²	semidirect
90. C₁₃×#449	C₂²	semidirect
91. C₁₃×#449	C₂²	semidirect
92. C₁₃×#449	C₂²	semidirect
93. C₁₃×#449	C₂²	semidirect
94. C₁₃×#449	C₂²	semidirect
95. C₁₃×#449	C₂²	semidirect
96. C₁₃×#449	C₂²	semidirect
98. C₁₃×#447	C₂²	semidirect
99. C₁₃×#447	C₂²	semidirect
100. C₁₃×#447	C₂²	semidirect
101. C₁₃×#447	C₂²	semidirect
102. C₁₃×#447	C₂²	semidirect
103. C₁₃×#442	C₂²	semidirect
104. C₁₃×#442	C₂²	semidirect
105. C₁₃×#442	C₂²	semidirect
106. C₁₃×#440	C₂²	semidirect
107. C₁₃×#435	C₂²	semidirect
108. C₁₃×#435	C₂²	semidirect
109. C₁₃×#435	C₂²	semidirect
110. C₁₃×#435	C₂²	semidirect
111. C₁₃×#432	C₂²	semidirect
112. C₁₃×#432	C₂²	semidirect
113. C₁₃×#418	C₂²	semidirect
114. C₁₃×#417	C₂²	semidirect
115. C₁₃×#416	C₂²	semidirect
116. C₂×C₁₃×#102	C₂²	semidirect
117. C₁₃×#408	C₂²	semidirect
118. C₁₃×#408	C₂²	semidirect
286. #61669	C₁₃	direct (N × H)
434. #3546	C₂×C₁₃	semidirect
435. #3496	C₂×C₁₃	semidirect
436. #3318	C₂×C₁₃	semidirect
437. #3311	C₂×C₁₃	semidirect
438. #3307	C₂×C₁₃	semidirect
439. #3306	C₂×C₁₃	semidirect
440. #3268	C₂×C₁₃	semidirect
441. #3267	C₂×C₁₃	semidirect
442. #3264	C₂×C₁₃	semidirect
443. #3264	C₂×C₁₃	semidirect
444. #3219	C₂×C₁₃	semidirect
445. #3214	C₂×C₁₃	semidirect
446. #3204	C₂×C₁₃	semidirect
447. #3198	C₂×C₁₃	semidirect
448. #3114	C₂×C₁₃	semidirect
449. #3109	C₂×C₁₃	semidirect
450. #3012	C₂×C₁₃	semidirect
451. #3008	C₂×C₁₃	semidirect
452. #2980	C₂×C₁₃	semidirect
544. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
545. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
546. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
547. C₂×#135	C₂²×C₁₃	semidirect
548. C₂²×D₈	C₂²×C₁₃	semidirect
550. #556	C₂²×C₁₃	semidirect
551. #553	C₂²×C₁₃	semidirect
553. #550	C₂²×C₁₃	semidirect
555. #547	C₂²×C₁₃	semidirect
556. #547	C₂²×C₁₃	semidirect
560. #546	C₂²×C₁₃	semidirect
561. #546	C₂²×C₁₃	semidirect
563. D₄²	C₂²×C₁₃	semidirect
564. D₄²	C₂²×C₁₃	semidirect
567. #537	C₂²×C₁₃	semidirect
568. #537	C₂²×C₁₃	semidirect
570. #535	C₂²×C₁₃	semidirect
574. #532	C₂²×C₁₃	semidirect
575. #532	C₂²×C₁₃	semidirect
576. #529	C₂²×C₁₃	semidirect
578. C₂×C₄×D₄	C₂²×C₁₃	semidirect
579. #497	C₂²×C₁₃	semidirect
580. #496	C₂²×C₁₃	semidirect
581. #496	C₂²×C₁₃	semidirect
582. #491	C₂²×C₁₃	semidirect
583. #490	C₂²×C₁₃	semidirect
584. #489	C₂²×C₁₃	semidirect
585. #485	C₂²×C₁₃	semidirect
586. #483	C₂²×C₁₃	semidirect
587. #483	C₂²×C₁₃	semidirect
588. #482	C₂²×C₁₃	semidirect
589. #481	C₂²×C₁₃	semidirect
590. #481	C₂²×C₁₃	semidirect
591. #480	C₂²×C₁₃	semidirect
592. #478	C₂²×C₁₃	semidirect
593. #476	C₂²×C₁₃	semidirect
594. #470	C₂²×C₁₃	semidirect
595. #469	C₂²×C₁₃	semidirect
596. #469	C₂²×C₁₃	semidirect
597. #468	C₂²×C₁₃	semidirect
598. #466	C₂²×C₁₃	semidirect
599. #465	C₂²×C₁₃	semidirect
600. #465	C₂²×C₁₃	semidirect
601. #465	C₂²×C₁₃	semidirect
602. #464	C₂²×C₁₃	semidirect
603. #463	C₂²×C₁₃	semidirect
604. #463	C₂²×C₁₃	semidirect
605. #461	C₂²×C₁₃	semidirect
606. #459	C₂²×C₁₃	semidirect
607. #459	C₂²×C₁₃	semidirect
608. #452	C₂²×C₁₃	semidirect
609. #452	C₂²×C₁₃	semidirect
610. #452	C₂²×C₁₃	semidirect
611. #450	C₂²×C₁₃	semidirect
612. #450	C₂²×C₁₃	semidirect
613. #450	C₂²×C₁₃	semidirect
614. #449	C₂²×C₁₃	semidirect
615. #449	C₂²×C₁₃	semidirect
616. #449	C₂²×C₁₃	semidirect
617. #449	C₂²×C₁₃	semidirect
618. #449	C₂²×C₁₃	semidirect
619. #449	C₂²×C₁₃	semidirect
620. #449	C₂²×C₁₃	semidirect
622. #447	C₂²×C₁₃	semidirect
623. #447	C₂²×C₁₃	semidirect
624. #447	C₂²×C₁₃	semidirect
625. #447	C₂²×C₁₃	semidirect
626. #447	C₂²×C₁₃	semidirect
627. #442	C₂²×C₁₃	semidirect
628. #442	C₂²×C₁₃	semidirect
629. #442	C₂²×C₁₃	semidirect
630. #440	C₂²×C₁₃	semidirect
631. #435	C₂²×C₁₃	semidirect
632. #435	C₂²×C₁₃	semidirect
633. #435	C₂²×C₁₃	semidirect
634. #435	C₂²×C₁₃	semidirect
635. #432	C₂²×C₁₃	semidirect
636. #432	C₂²×C₁₃	semidirect
637. #418	C₂²×C₁₃	semidirect
638. #417	C₂²×C₁₃	semidirect
639. #416	C₂²×C₁₃	semidirect
640. C₂×#102	C₂²×C₁₃	semidirect
641. #408	C₂²×C₁₃	semidirect
642. #408	C₂²×C₁₃	semidirect
1007. C₁₃	#61669	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×#3546	2
C₁₃×#3496	2
C₁₃×#3318	2
C₁₃×#3311	2
C₁₃×#3307	2
C₁₃×#3306	2
C₁₃×#3268	2
C₁₃×#3267	2
C₁₃×#3264	2
C₁₃×#3219	2
C₁₃×#3214	2
C₁₃×#3204	2
C₁₃×#3198	2
C₁₃×#3114	2
C₁₃×#3109	2
C₁₃×#3012	2
C₁₃×#3008	2
C₁₃×#2980	2
#61669	13

Subgroups — C13×#61669 #15748008

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61669 #15748008