Subgroups — C₁₃×#61671 #15748010

Order 3328.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1118 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×#3497	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3320	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3313	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3309	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3271	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3265	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×#3203	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3117	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3112	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3013	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3010	C₂	1	2	yes	maximal, complemented
19	C₁₃×#2980	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
21	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
22	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
23	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
24	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
25	C₁₃×#560	—	2	2	no	—
26	C₁₃×#556	C₂²	1	1	yes	characteristic
27	C₁₃×#553	C₂²	1	2	yes	—
28	C₁₃×#550	—	2	1	no	—
29	C₁₃×#550	—	2	1	no	—
30	C₁₃×#550	C₂²	1	1	yes	characteristic
31	C₁₃×#550	C₂²	1	2	yes	complemented
32	D₄×Q₈×C₁₃	—	2	1	no	—
33	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
34	C₁₃×#548	—	2	2	no	—
35	C₁₃×#548	C₂²	1	2	yes	—
36	C₁₃×#548	C₂²	1	2	yes	complemented
37	C₁₃×#547	C₂²	1	1	yes	characteristic
38	C₁₃×#546	—	2	1	no	—
39	C₁₃×#546	C₂²	1	2	yes	—
40	D₄²×C₁₃	C₂²	1	1	yes	characteristic
41	C₁₃×#542	—	2	1	no	—
42	C₁₃×#538	—	2	2	no	—
43	C₁₃×#537	—	2	1	no	—
44	C₁₃×#537	—	2	1	no	—
45	C₁₃×#537	C₂²	1	2	yes	—
46	C₁₃×#537	C₂²	1	2	yes	complemented
47	C₁₃×#535	—	2	1	no	—
48	C₁₃×#535	C₂²	1	2	yes	—
49	C₁₃×#532	—	2	2	no	—
50	C₁₃×#532	C₂²	1	1	yes	characteristic
51	C₁₃×#532	C₂²	1	1	yes	characteristic
52	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#529	C₂²	1	1	yes	characteristic
54	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#497	C₂²	1	1	yes	characteristic
56	C₁₃×#496	C₂²	1	2	yes	—
57	C₁₃×#496	C₂²	1	1	yes	characteristic
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×#484	C₂²	1	2	yes	complemented
63	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#482	C₂²	1	2	yes	complemented
65	C₁₃×#481	C₂²	1	1	yes	characteristic
66	C₁₃×#480	C₂²	1	2	yes	complemented
67	C₁₃×#480	C₂²	1	2	yes	complemented
68	C₁₃×#479	C₂²	1	2	yes	complemented
69	C₁₃×#477	C₂²	1	2	yes	complemented
70	C₁₃×#469	C₂²	1	2	yes	complemented
71	C₁₃×#468	C₂²	1	2	yes	—
72	C₁₃×#468	C₂²	1	2	yes	—
73	C₁₃×#468	C₂²	1	2	yes	complemented
74	C₁₃×#467	C₂²	1	2	yes	complemented
75	C₁₃×#466	C₂²	1	2	yes	—
76	C₁₃×#466	C₂²	1	2	yes	—
77	C₁₃×#465	C₂²	1	2	yes	complemented
78	C₁₃×#464	C₂²	1	2	yes	—
79	C₁₃×#464	C₂²	1	2	yes	complemented
80	C₁₃×#463	C₂²	1	2	yes	—
81	C₁₃×#461	C₂²	1	2	yes	complemented
82	C₁₃×#460	C₂²	1	2	yes	—
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×#451	C₂²	1	2	yes	complemented
88	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#450	C₂²	1	2	yes	—
90	C₁₃×#449	C₂²	1	2	yes	—
91	C₁₃×#449	C₂²	1	2	yes	—
92	C₁₃×#449	C₂²	1	2	yes	—
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×#448	C₂²	1	2	yes	—
98	C₁₃×#448	C₂²	1	1	yes	characteristic
99	C₁₃×#448	C₂²	1	2	yes	—
100	C₁₃×#448	C₂²	1	2	yes	complemented
101	C₁₃×#448	C₂²	1	2	yes	complemented
102	C₁₃×#447	C₂²	1	2	yes	—
103	C₁₃×#441	C₂²	1	2	yes	complemented
104	C₁₃×#440	C₂²	1	2	yes	—
105	C₁₃×#440	C₂²	1	2	yes	complemented
106	C₁₃×#440	C₂²	1	2	yes	complemented
107	C₁₃×#435	C₂²	1	2	yes	—
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×#419	C₂²	1	2	yes	complemented
114	C₁₃×#417	C₂²	1	2	yes	complemented
115	C₁₃×#416	C₂²	1	2	yes	complemented
116	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
117	C₁₃×#408	C₂²	1	2	yes	complemented
118	C₁₃×#408	C₂²	1	2	yes	complemented
119	C₁₃×2₋¹⁺⁴	—	4	4	no	—
120	C₁₃×2₋¹⁺⁴	—	4	4	no	—
121	C₂×C₁₃×#41	—	2	2	no	—
122	C₂×C₁₃×#41	—	2	2	no	—
123	C₂×C₁₃×#41	—	2	2	no	—
124	C₂×C₁₃×#41	—	2	1	no	—
125	C₂×C₁₃×#41	—	2	1	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	2	yes	—
130	C₂×C₁₃×#41	C₂³	1	2	yes	—
131	C₂²×Q₈×C₁₃	—	2	2	no	—
132	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	C₂³	1	2	yes	—
137	C₁₃×#137	—	4	4	no	—
138	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
139	C₁₃×#135	—	4	4	no	—
140	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
141	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
142	C₂×C₁₃×SD₁₆	—	4	4	no	—
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×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	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×M₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
155	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
156	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
157	C₁₃×C₄⋊Q₈	—	2	2	no	—
158	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×#127	—	2	2	no	—
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	2	no	—
174	C₁₃×#124	—	2	2	no	—
175	C₁₃×#124	—	2	1	no	—
176	C₁₃×#124	D₄	1	2	yes	—
177	C₁₃×#124	C₂³	1	2	yes	—
178	C₁₃×#124	C₂³	1	1	yes	characteristic
179	C₁₃×#123	—	2	1	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×C₂²⋊Q₈	—	2	2	no	—
184	C₁₃×C₂²⋊Q₈	—	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	—	2	2	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
191	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
192	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
193	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
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	2	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	1	no	—
204	C₁₃×#121	—	2	1	no	—
205	C₁₃×#121	—	2	1	no	—
206	C₁₃×#121	—	2	1	no	—
207	C₁₃×#121	—	2	2	no	—
208	C₁₃×#121	—	2	2	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	2	no	—
211	C₁₃×#121	D₄	1	2	yes	—
212	C₁₃×#121	D₄	1	1	yes	characteristic
213	C₁₃×#121	D₄	1	1	yes	characteristic
214	C₁₃×#121	C₂³	1	2	yes	—
215	C₁₃×#121	C₂³	1	1	yes	characteristic
216	C₁₃×#121	C₂³	1	2	yes	—
217	C₁₃×#121	C₂³	1	2	yes	—
218	C₁₃×#121	C₂³	1	2	yes	—
219	C₁₃×#121	C₂³	1	2	yes	—
220	C₁₃×#121	C₂³	1	2	yes	—
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	C₄×Q₈×C₁₃	—	2	1	no	—
226	C₄×Q₈×C₁₃	—	2	1	no	—
227	C₄×Q₈×C₁₃	—	2	1	no	—
228	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
229	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	2	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	2	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	1	no	—
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	C₄×D₄×C₁₃	C₂³	1	2	yes	—
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₁₃×#117	—	2	1	no	—
247	C₁₃×#117	C₂³	1	2	yes	—
248	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
252	C₂×C₄²×C₁₃	—	2	1	no	—
253	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
254	C₁₃×#107	C₂³	1	2	yes	—
255	C₁₃×#107	C₂³	1	2	yes	—
256	C₁₃×#107	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×#103	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	#61671	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
287	C₂⁴×C₁₃	—	2	2	no	—
288	C₁₃×#41	—	2	4	no	—
289	C₁₃×#41	—	2	4	no	—
290	C₁₃×#41	—	4	2	no	—
291	C₁₃×#41	—	4	2	no	—
292	C₁₃×#41	—	4	2	no	—
293	C₁₃×#41	—	4	2	no	—
294	C₁₃×#41	—	4	2	no	—
295	C₁₃×#41	—	4	2	no	—
296	C₁₃×#41	—	4	8	no	—
297	C₁₃×#41	—	4	8	no	—
298	C₁₃×#41	—	4	2	no	—
299	C₁₃×#41	—	4	2	no	—
300	C₁₃×#41	—	4	8	no	—
301	C₁₃×#41	—	8	2	no	—
302	C₁₃×#41	—	8	2	no	—
303	C₂×Q₈×C₁₃	—	2	4	no	—
304	C₂×Q₈×C₁₃	—	2	1	no	—
305	C₂×Q₈×C₁₃	—	2	1	no	—
306	C₂×Q₈×C₁₃	—	2	2	no	—
307	C₂×Q₈×C₁₃	—	2	2	no	—
308	C₂×Q₈×C₁₃	—	2	4	no	—
309	C₂×Q₈×C₁₃	—	2	4	no	—
310	C₂×Q₈×C₁₃	—	4	2	no	—
311	C₂×Q₈×C₁₃	—	4	2	no	—
312	C₂×Q₈×C₁₃	—	4	8	no	—
313	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
314	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
315	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
316	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
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	1	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	2	no	—
326	C₂×D₄×C₁₃	—	2	2	no	—
327	C₂×D₄×C₁₃	—	2	2	no	—
328	C₂×D₄×C₁₃	—	2	1	no	—
329	C₂×D₄×C₁₃	—	2	1	no	—
330	C₂×D₄×C₁₃	—	2	1	no	—
331	C₂×D₄×C₁₃	—	2	1	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	4	2	no	—
334	C₂×D₄×C₁₃	—	4	2	no	—
335	C₂×D₄×C₁₃	—	8	2	no	—
336	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
337	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
338	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
339	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
342	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
343	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	2	2	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	—	2	2	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
360	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
361	C₁₃×Q₁₆	—	2	4	no	—
362	C₁₃×Q₁₆	—	4	2	no	—
363	C₁₃×SD₁₆	—	2	4	no	—
364	C₁₃×SD₁₆	—	2	4	no	—
365	C₁₃×SD₁₆	—	2	4	no	—
366	C₁₃×SD₁₆	—	4	2	no	—
367	C₁₃×SD₁₆	—	4	2	no	—
368	C₁₃×SD₁₆	—	4	2	no	—
369	C₁₃×SD₁₆	—	4	2	no	—
370	C₁₃×D₈	—	4	2	no	—
371	C₁₃×D₈	—	4	2	no	—
372	C₁₃×D₈	—	4	2	no	—
373	C₁₃×M₁₆	—	4	2	no	—
374	C₁₃×M₁₆	—	4	2	no	—
375	C₂×C₈×C₁₃	—	4	2	no	—
376	C₂×C₈×C₁₃	—	4	2	no	—
377	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
378	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
379	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
380	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
381	C₁₃×C₄⋊C₄	—	2	2	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	1	no	—
384	C₁₃×C₄⋊C₄	—	2	2	no	—
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
396	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
397	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
398	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
399	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
401	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
402	C₁₃×C₂²⋊C₄	—	2	2	no	—
403	C₁₃×C₂²⋊C₄	—	2	2	no	—
404	C₁₃×C₂²⋊C₄	—	2	1	no	—
405	C₁₃×C₂²⋊C₄	—	2	2	no	—
406	C₁₃×C₂²⋊C₄	—	2	2	no	—
407	C₁₃×C₂²⋊C₄	—	2	1	no	—
408	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
421	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
422	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
423	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
424	C₄²×C₁₃	—	2	2	no	—
425	C₄²×C₁₃	—	2	2	no	—
426	C₄²×C₁₃	—	2	1	no	—
427	C₄²×C₁₃	—	2	2	no	—
428	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
429	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
430	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
431	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
432	#3546	C₂×C₁₃	1	1	yes	characteristic, complemented
433	#3497	C₂×C₁₃	1	1	yes	characteristic, complemented
434	#3320	C₂×C₁₃	1	2	yes	complemented
435	#3313	C₂×C₁₃	1	2	yes	complemented
436	#3309	C₂×C₁₃	1	2	yes	complemented
437	#3308	C₂×C₁₃	1	2	yes	complemented
438	#3271	C₂×C₁₃	1	2	yes	complemented
439	#3268	C₂×C₁₃	1	2	yes	complemented
440	#3266	C₂×C₁₃	1	2	yes	complemented
441	#3265	C₂×C₁₃	1	2	yes	complemented
442	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
443	#3214	C₂×C₁₃	1	1	yes	characteristic, complemented
444	#3203	C₂×C₁₃	1	2	yes	complemented
445	#3198	C₂×C₁₃	1	2	yes	complemented
446	#3117	C₂×C₁₃	1	1	yes	characteristic, complemented
447	#3112	C₂×C₁₃	1	1	yes	characteristic, complemented
448	#3013	C₂×C₁₃	1	2	yes	complemented
449	#3010	C₂×C₁₃	1	2	yes	complemented
450	#2980	C₂×C₁₃	1	1	yes	characteristic, complemented
451	C₂³×C₁₃	—	2	1	no	—
452	C₂³×C₁₃	—	2	2	no	—
453	C₂³×C₁₃	—	2	2	no	—
454	C₂³×C₁₃	—	8	2	no	—
455	C₂³×C₁₃	—	8	2	no	—
456	C₂³×C₁₃	—	8	2	no	—
457	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
458	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
459	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
460	Q₈×C₁₃	—	2	4	no	—
461	Q₈×C₁₃	—	2	2	no	—
462	Q₈×C₁₃	—	2	2	no	—
463	Q₈×C₁₃	—	2	2	no	—
464	Q₈×C₁₃	—	2	2	no	—
465	Q₈×C₁₃	—	4	2	no	—
466	Q₈×C₁₃	—	4	4	no	—
467	Q₈×C₁₃	—	4	4	no	—
468	Q₈×C₁₃	—	4	2	no	—
469	Q₈×C₁₃	H(5,𝔽₂)	1	4	yes	—
470	D₄×C₁₃	—	2	2	no	—
471	D₄×C₁₃	—	2	2	no	—
472	D₄×C₁₃	—	2	2	no	—
473	D₄×C₁₃	—	2	2	no	—
474	D₄×C₁₃	—	2	2	no	—
475	D₄×C₁₃	—	4	1	no	—
476	D₄×C₁₃	—	4	2	no	—
477	D₄×C₁₃	—	4	2	no	—
478	D₄×C₁₃	—	4	2	no	—
479	D₄×C₁₃	—	4	2	no	—
480	D₄×C₁₃	—	4	1	no	—
481	D₄×C₁₃	—	4	4	no	—
482	D₄×C₁₃	—	4	4	no	—
483	D₄×C₁₃	—	4	2	no	—
484	D₄×C₁₃	—	4	2	no	—
485	D₄×C₁₃	—	4	4	no	—
486	D₄×C₁₃	—	8	1	no	—
487	D₄×C₁₃	—	8	1	no	—
488	D₄×C₁₃	—	8	2	no	—
489	D₄×C₁₃	—	8	2	no	—
490	D₄×C₁₃	—	8	2	no	—
491	D₄×C₁₃	—	8	1	no	—
492	D₄×C₁₃	—	8	2	no	—
493	D₄×C₁₃	—	8	2	no	—
494	D₄×C₁₃	—	8	2	no	—
495	D₄×C₁₃	—	8	2	no	—
496	D₄×C₁₃	—	8	2	no	—
497	C₂×C₄×C₁₃	—	2	4	no	—
498	C₂×C₄×C₁₃	—	2	2	no	—
499	C₂×C₄×C₁₃	—	2	2	no	—
500	C₂×C₄×C₁₃	—	2	2	no	—
501	C₂×C₄×C₁₃	—	2	2	no	—
502	C₂×C₄×C₁₃	—	2	2	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	2	2	no	—
510	C₂×C₄×C₁₃	—	4	1	no	—
511	C₂×C₄×C₁₃	—	4	1	no	—
512	C₂×C₄×C₁₃	—	4	4	no	—
513	C₂×C₄×C₁₃	—	4	4	no	—
514	C₂×C₄×C₁₃	—	4	4	no	—
515	C₂×C₄×C₁₃	—	4	4	no	—
516	C₂×C₄×C₁₃	—	4	2	no	—
517	C₂×C₄×C₁₃	—	4	4	no	—
518	C₂×C₄×C₁₃	—	8	2	no	—
519	C₂×C₄×C₁₃	—	8	2	no	—
520	C₂×C₄×C₁₃	—	8	1	no	—
521	C₂×C₄×C₁₃	—	8	2	no	—
522	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
523	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
524	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
525	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
526	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
529	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
530	C₈×C₁₃	—	2	2	no	—
531	C₈×C₁₃	—	2	2	no	—
532	C₈×C₁₃	—	2	2	no	—
533	C₈×C₁₃	—	2	2	no	—
534	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
535	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
536	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
537	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
538	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
539	#560	—	2	2	no	—
540	#556	C₂²×C₁₃	1	1	yes	characteristic
541	#553	C₂²×C₁₃	1	2	yes	—
542	#550	—	2	1	no	—
543	#550	—	2	1	no	—
544	#550	C₂²×C₁₃	1	1	yes	characteristic
545	#550	C₂²×C₁₃	1	2	yes	complemented
546	D₄×Q₈	—	2	1	no	—
547	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
548	#548	—	2	2	no	—
549	#548	C₂²×C₁₃	1	2	yes	—
550	#548	C₂²×C₁₃	1	2	yes	complemented
551	#547	C₂²×C₁₃	1	1	yes	characteristic
552	#546	—	2	1	no	—
553	#546	C₂²×C₁₃	1	2	yes	—
554	D₄²	C₂²×C₁₃	1	1	yes	characteristic
555	#542	—	2	1	no	—
556	#538	—	2	2	no	—
557	#537	—	2	1	no	—
558	#537	—	2	1	no	—
559	#537	C₂²×C₁₃	1	2	yes	—
560	#537	C₂²×C₁₃	1	2	yes	complemented
561	#535	—	2	1	no	—
562	#535	C₂²×C₁₃	1	2	yes	—
563	#532	—	2	2	no	—
564	#532	C₂²×C₁₃	1	1	yes	characteristic
565	#532	C₂²×C₁₃	1	1	yes	characteristic
566	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
567	#529	C₂²×C₁₃	1	1	yes	characteristic
568	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
569	#497	C₂²×C₁₃	1	1	yes	characteristic
570	#496	C₂²×C₁₃	1	2	yes	—
571	#496	C₂²×C₁₃	1	1	yes	characteristic
572	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
573	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
574	#489	C₂²×C₁₃	1	2	yes	complemented
575	#485	C₂²×C₁₃	1	2	yes	complemented
576	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
577	#484	C₂²×C₁₃	1	2	yes	complemented
578	#482	C₂²×C₁₃	1	2	yes	complemented
579	#481	C₂²×C₁₃	1	1	yes	characteristic
580	#480	C₂²×C₁₃	1	2	yes	complemented
581	#480	C₂²×C₁₃	1	2	yes	complemented
582	#479	C₂²×C₁₃	1	2	yes	complemented
583	#477	C₂²×C₁₃	1	2	yes	complemented
584	#469	C₂²×C₁₃	1	2	yes	complemented
585	#468	C₂²×C₁₃	1	2	yes	—
586	#468	C₂²×C₁₃	1	2	yes	—
587	#468	C₂²×C₁₃	1	2	yes	complemented
588	#467	C₂²×C₁₃	1	2	yes	complemented
589	#466	C₂²×C₁₃	1	2	yes	—
590	#466	C₂²×C₁₃	1	2	yes	—
591	#465	C₂²×C₁₃	1	2	yes	complemented
592	#464	C₂²×C₁₃	1	2	yes	—
593	#464	C₂²×C₁₃	1	2	yes	complemented
594	#463	C₂²×C₁₃	1	2	yes	—
595	#461	C₂²×C₁₃	1	2	yes	complemented
596	#460	C₂²×C₁₃	1	2	yes	—
597	#459	C₂²×C₁₃	1	2	yes	complemented
598	#452	C₂²×C₁₃	1	2	yes	complemented
599	#452	C₂²×C₁₃	1	2	yes	complemented
600	#452	C₂²×C₁₃	1	2	yes	complemented
601	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#451	C₂²×C₁₃	1	2	yes	complemented
603	#450	C₂²×C₁₃	1	2	yes	—
604	#449	C₂²×C₁₃	1	2	yes	—
605	#449	C₂²×C₁₃	1	2	yes	—
606	#449	C₂²×C₁₃	1	2	yes	—
607	#449	C₂²×C₁₃	1	2	yes	complemented
608	#449	C₂²×C₁₃	1	2	yes	complemented
609	#449	C₂²×C₁₃	1	2	yes	complemented
610	#449	C₂²×C₁₃	1	2	yes	complemented
611	#448	C₂²×C₁₃	1	1	yes	characteristic
612	#448	C₂²×C₁₃	1	2	yes	—
613	#448	C₂²×C₁₃	1	2	yes	—
614	#448	C₂²×C₁₃	1	2	yes	complemented
615	#448	C₂²×C₁₃	1	2	yes	complemented
616	#447	C₂²×C₁₃	1	2	yes	—
617	#441	C₂²×C₁₃	1	2	yes	complemented
618	#440	C₂²×C₁₃	1	2	yes	—
619	#440	C₂²×C₁₃	1	2	yes	complemented
620	#440	C₂²×C₁₃	1	2	yes	complemented
621	#435	C₂²×C₁₃	1	2	yes	—
622	#435	C₂²×C₁₃	1	2	yes	complemented
623	#435	C₂²×C₁₃	1	2	yes	complemented
624	#435	C₂²×C₁₃	1	2	yes	complemented
625	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
626	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#419	C₂²×C₁₃	1	2	yes	complemented
628	#417	C₂²×C₁₃	1	2	yes	complemented
629	#416	C₂²×C₁₃	1	2	yes	complemented
630	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
631	#408	C₂²×C₁₃	1	2	yes	complemented
632	#408	C₂²×C₁₃	1	2	yes	complemented
633	C₂²×C₁₃	—	2	1	no	—
634	C₂²×C₁₃	—	2	2	no	—
635	C₂²×C₁₃	—	2	2	no	—
636	C₂²×C₁₃	—	2	1	no	—
637	C₂²×C₁₃	—	2	2	no	—
638	C₂²×C₁₃	—	2	2	no	—
639	C₂²×C₁₃	—	2	1	no	—
640	C₂²×C₁₃	—	2	2	no	—
641	C₂²×C₁₃	—	2	2	no	—
642	C₂²×C₁₃	—	4	1	no	—
643	C₂²×C₁₃	—	4	2	no	—
644	C₂²×C₁₃	—	4	2	no	—
645	C₂²×C₁₃	—	4	2	no	—
646	C₂²×C₁₃	—	4	2	no	—
647	C₂²×C₁₃	—	4	1	no	—
648	C₂²×C₁₃	—	4	2	no	—
649	C₂²×C₁₃	—	4	2	no	—
650	C₂²×C₁₃	—	4	1	no	—
651	C₂²×C₁₃	—	16	4	no	—
652	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
653	C₄×C₁₃	—	2	1	no	—
654	C₄×C₁₃	—	2	1	no	—
655	C₄×C₁₃	—	2	1	no	—
656	C₄×C₁₃	—	2	1	no	—
657	C₄×C₁₃	—	2	4	no	—
658	C₄×C₁₃	—	2	1	no	—
659	C₄×C₁₃	—	2	2	no	—
660	C₄×C₁₃	—	2	2	no	—
661	C₄×C₁₃	—	4	1	no	—
662	C₄×C₁₃	—	4	2	no	—
663	C₄×C₁₃	—	4	2	no	—
664	C₄×C₁₃	—	4	1	no	—
665	C₄×C₁₃	—	4	2	no	—
666	C₄×C₁₃	—	4	1	no	—
667	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
668	2₋¹⁺⁴	—	4	4	no	—
669	2₋¹⁺⁴	—	4	4	no	—
670	C₂×#41	—	2	2	no	—
671	C₂×#41	—	2	2	no	—
672	C₂×#41	—	2	2	no	—
673	C₂×#41	—	2	1	no	—
674	C₂×#41	—	2	1	no	—
675	C₂×#41	C₂³×C₁₃	1	2	yes	—
676	C₂×#41	C₂³×C₁₃	1	2	yes	—
677	C₂×#41	C₂³×C₁₃	1	2	yes	—
678	C₂×#41	C₂³×C₁₃	1	2	yes	—
679	C₂×#41	C₂³×C₁₃	1	2	yes	—
680	C₂²×Q₈	—	2	2	no	—
681	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
682	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
683	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
684	C₂²×D₄	—	2	1	no	—
685	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
686	#137	—	4	4	no	—
687	AGL(1,ℤ/8)	—	4	4	no	—
688	#135	—	4	4	no	—
689	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
690	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
691	C₂×SD₁₆	—	4	4	no	—
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	2	yes	—
698	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
699	C₂×D₈	C₂³×C₁₃	1	2	yes	—
700	C₂×D₈	C₂³×C₁₃	1	2	yes	—
701	C₂×D₈	C₂³×C₁₃	1	2	yes	—
702	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
703	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
704	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
705	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
706	C₄⋊Q₈	—	2	2	no	—
707	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
708	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
709	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
710	#127	—	2	2	no	—
711	#127	—	2	1	no	—
712	#127	—	2	2	no	—
713	#127	D₄×C₁₃	1	1	yes	characteristic
714	#127	C₂³×C₁₃	1	1	yes	characteristic
715	#127	C₂³×C₁₃	1	1	yes	characteristic
716	#126	—	2	2	no	—
717	#126	—	2	2	no	—
718	#126	—	2	1	no	—
719	#125	C₂³×C₁₃	1	1	yes	characteristic
720	#124	—	2	2	no	—
721	#124	—	2	1	no	—
722	#124	—	2	2	no	—
723	#124	—	2	2	no	—
724	#124	—	2	1	no	—
725	#124	D₄×C₁₃	1	2	yes	—
726	#124	C₂³×C₁₃	1	1	yes	characteristic
727	#124	C₂³×C₁₃	1	2	yes	—
728	#123	—	2	1	no	—
729	#123	—	2	2	no	—
730	#123	—	2	2	no	—
731	#123	—	2	2	no	—
732	C₂²⋊Q₈	—	2	2	no	—
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	—	2	2	no	—
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	—	2	1	no	—
737	C₂²⋊Q₈	—	2	2	no	—
738	C₂²⋊Q₈	—	2	2	no	—
739	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
740	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
741	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
742	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
743	#121	—	2	2	no	—
744	#121	—	2	2	no	—
745	#121	—	2	2	no	—
746	#121	—	2	2	no	—
747	#121	—	2	2	no	—
748	#121	—	2	2	no	—
749	#121	—	2	2	no	—
750	#121	—	2	2	no	—
751	#121	—	2	2	no	—
752	#121	—	2	1	no	—
753	#121	—	2	1	no	—
754	#121	—	2	1	no	—
755	#121	—	2	1	no	—
756	#121	—	2	2	no	—
757	#121	—	2	2	no	—
758	#121	—	2	2	no	—
759	#121	—	2	2	no	—
760	#121	D₄×C₁₃	1	2	yes	—
761	#121	D₄×C₁₃	1	1	yes	characteristic
762	#121	D₄×C₁₃	1	1	yes	characteristic
763	#121	C₂³×C₁₃	1	1	yes	characteristic
764	#121	C₂³×C₁₃	1	2	yes	—
765	#121	C₂³×C₁₃	1	2	yes	—
766	#121	C₂³×C₁₃	1	2	yes	—
767	#121	C₂³×C₁₃	1	2	yes	—
768	#121	C₂³×C₁₃	1	2	yes	—
769	#121	C₂³×C₁₃	1	2	yes	—
770	#120	—	2	2	no	—
771	#120	—	2	2	no	—
772	#120	—	2	2	no	—
773	#120	—	2	2	no	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
778	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
779	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
780	C₄×D₄	—	2	2	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	2	2	no	—
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	2	no	—
785	C₄×D₄	—	2	2	no	—
786	C₄×D₄	—	2	2	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
791	C₄×D₄	C₂³×C₁₃	1	2	yes	—
792	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
793	C₄×D₄	C₂³×C₁₃	1	2	yes	—
794	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
795	#117	—	2	1	no	—
796	#117	C₂³×C₁₃	1	2	yes	—
797	C₂×C₄⋊C₄	—	2	1	no	—
798	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
799	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
800	C₂×C₂²⋊C₄	—	2	2	no	—
801	C₂×C₄²	—	2	1	no	—
802	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
803	#107	C₂³×C₁₃	1	2	yes	—
804	#107	C₂³×C₁₃	1	2	yes	—
805	#107	C₂³×C₁₃	1	2	yes	—
806	#106	C₂³×C₁₃	1	2	yes	—
807	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
808	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
809	#103	C₂³×C₁₃	1	2	yes	—
810	#103	C₂³×C₁₃	1	2	yes	—
811	#103	C₂³×C₁₃	1	2	yes	—
812	#103	C₂³×C₁₃	1	2	yes	—
813	#103	C₂³×C₁₃	1	2	yes	—
814	#103	C₂³×C₁₃	1	2	yes	—
815	#103	C₂³×C₁₃	1	2	yes	—
816	#103	C₂³×C₁₃	1	2	yes	—
817	#103	C₂³×C₁₃	1	2	yes	—
818	#102	C₂³×C₁₃	1	2	yes	—
819	#102	C₂³×C₁₃	1	2	yes	—
820	#102	C₂³×C₁₃	1	2	yes	—
821	#102	C₂³×C₁₃	1	2	yes	—
822	#102	C₂³×C₁₃	1	2	yes	—
823	#102	C₂³×C₁₃	1	2	yes	—
824	#102	C₂³×C₁₃	1	2	yes	—
825	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
826	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
827	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
828	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
829	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
830	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
831	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
832	#97	C₂³×C₁₃	1	2	yes	—
833	#97	C₂³×C₁₃	1	1	yes	characteristic
834	#97	C₂³×C₁₃	1	1	yes	characteristic
835	C₂×C₁₃	—	4	1	no	—
836	C₂×C₁₃	—	4	2	no	—
837	C₂×C₁₃	—	4	2	no	—
838	C₂×C₁₃	—	8	2	no	—
839	C₂×C₁₃	—	8	2	no	—
840	C₂×C₁₃	—	8	1	no	—
841	C₂×C₁₃	#3484	1	1	yes	characteristic
842	C₂×C₁₃	#3585	1	1	yes	characteristic
843	C₂×C₁₃	#3586	1	1	yes	characteristic
844	C₂⁴	—	2	2	no	—
845	#41	—	2	4	no	—
846	#41	—	2	4	no	—
847	#41	—	4	2	no	—
848	#41	—	4	2	no	—
849	#41	—	4	2	no	—
850	#41	—	4	2	no	—
851	#41	—	4	2	no	—
852	#41	—	4	2	no	—
853	#41	—	4	8	no	—
854	#41	—	4	8	no	—
855	#41	—	4	2	no	—
856	#41	—	4	2	no	—
857	#41	—	4	8	no	—
858	#41	—	8	2	no	—
859	#41	—	8	2	no	—
860	C₂×Q₈	—	2	4	no	—
861	C₂×Q₈	—	2	1	no	—
862	C₂×Q₈	—	2	1	no	—
863	C₂×Q₈	—	2	2	no	—
864	C₂×Q₈	—	2	2	no	—
865	C₂×Q₈	—	2	4	no	—
866	C₂×Q₈	—	2	4	no	—
867	C₂×Q₈	—	4	2	no	—
868	C₂×Q₈	—	4	2	no	—
869	C₂×Q₈	—	4	8	no	—
870	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
871	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
872	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
873	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	1	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	2	2	no	—
882	C₂×D₄	—	2	2	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	1	no	—
886	C₂×D₄	—	2	1	no	—
887	C₂×D₄	—	2	1	no	—
888	C₂×D₄	—	2	1	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	4	2	no	—
891	C₂×D₄	—	4	2	no	—
892	C₂×D₄	—	8	2	no	—
893	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
894	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
895	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
896	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
897	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
898	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
899	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
900	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
901	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
914	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
915	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
916	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
917	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
918	Q₁₆	—	2	4	no	—
919	Q₁₆	—	4	2	no	—
920	SD₁₆	—	2	4	no	—
921	SD₁₆	—	2	4	no	—
922	SD₁₆	—	2	4	no	—
923	SD₁₆	—	4	2	no	—
924	SD₁₆	—	4	2	no	—
925	SD₁₆	—	4	2	no	—
926	SD₁₆	—	4	2	no	—
927	D₈	—	4	2	no	—
928	D₈	—	4	2	no	—
929	D₈	—	4	2	no	—
930	M₁₆	—	4	2	no	—
931	M₁₆	—	4	2	no	—
932	C₂×C₈	—	4	2	no	—
933	C₂×C₈	—	4	2	no	—
934	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
935	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
936	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
937	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
953	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
954	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
955	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
956	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
957	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	1	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	1	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	1	no	—
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
978	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
979	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
980	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
981	C₄²	—	2	2	no	—
982	C₄²	—	2	2	no	—
983	C₄²	—	2	1	no	—
984	C₄²	—	2	2	no	—
985	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
986	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
987	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
988	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
989	C₁₃	#61671	1	1	yes	characteristic, direct product factor, Sylow
990	C₂³	—	2	1	no	—
991	C₂³	—	2	2	no	—
992	C₂³	—	2	2	no	—
993	C₂³	—	8	2	no	—
994	C₂³	—	8	2	no	—
995	C₂³	—	8	2	no	—
996	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
997	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
998	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
999	Q₈	—	2	4	no	—
1000	Q₈	—	2	2	no	—
1001	Q₈	—	2	2	no	—
1002	Q₈	—	2	2	no	—
1003	Q₈	—	2	2	no	—
1004	Q₈	—	4	2	no	—
1005	Q₈	—	4	4	no	—
1006	Q₈	—	4	4	no	—
1007	Q₈	—	4	2	no	—
1008	Q₈	C₁₃×H(5,𝔽₂)	1	4	yes	—
1009	D₄	—	2	2	no	—
1010	D₄	—	2	2	no	—
1011	D₄	—	2	2	no	—
1012	D₄	—	2	2	no	—
1013	D₄	—	2	2	no	—
1014	D₄	—	4	1	no	—
1015	D₄	—	4	2	no	—
1016	D₄	—	4	2	no	—
1017	D₄	—	4	2	no	—
1018	D₄	—	4	2	no	—
1019	D₄	—	4	1	no	—
1020	D₄	—	4	4	no	—
1021	D₄	—	4	4	no	—
1022	D₄	—	4	2	no	—
1023	D₄	—	4	2	no	—
1024	D₄	—	4	4	no	—
1025	D₄	—	8	2	no	—
1026	D₄	—	8	1	no	—
1027	D₄	—	8	1	no	—
1028	D₄	—	8	2	no	—
1029	D₄	—	8	2	no	—
1030	D₄	—	8	2	no	—
1031	D₄	—	8	1	no	—
1032	D₄	—	8	2	no	—
1033	D₄	—	8	2	no	—
1034	D₄	—	8	2	no	—
1035	D₄	—	8	2	no	—
1036	C₂×C₄	—	2	4	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	4	1	no	—
1050	C₂×C₄	—	4	1	no	—
1051	C₂×C₄	—	4	4	no	—
1052	C₂×C₄	—	4	4	no	—
1053	C₂×C₄	—	4	4	no	—
1054	C₂×C₄	—	4	4	no	—
1055	C₂×C₄	—	4	2	no	—
1056	C₂×C₄	—	4	4	no	—
1057	C₂×C₄	—	8	2	no	—
1058	C₂×C₄	—	8	2	no	—
1059	C₂×C₄	—	8	1	no	—
1060	C₂×C₄	—	8	2	no	—
1061	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1063	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1064	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1065	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1066	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1067	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1068	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1069	C₈	—	2	2	no	—
1070	C₈	—	2	2	no	—
1071	C₈	—	2	2	no	—
1072	C₈	—	2	2	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	2	2	no	—
1075	C₂²	—	2	2	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	2	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	2	no	—
1081	C₂²	—	2	2	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	2	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	2	no	—
1086	C₂²	—	4	2	no	—
1087	C₂²	—	4	1	no	—
1088	C₂²	—	4	2	no	—
1089	C₂²	—	4	2	no	—
1090	C₂²	—	4	1	no	—
1091	C₂²	—	16	4	no	—
1092	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1093	C₄	—	2	1	no	—
1094	C₄	—	2	1	no	—
1095	C₄	—	2	1	no	—
1096	C₄	—	2	1	no	—
1097	C₄	—	2	4	no	—
1098	C₄	—	2	1	no	—
1099	C₄	—	2	2	no	—
1100	C₄	—	2	2	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	2	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	4	2	no	—
1106	C₄	—	4	1	no	—
1107	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1108	C₂	—	4	2	no	—
1109	C₂	—	4	1	no	—
1110	C₂	—	4	2	no	—
1111	C₂	—	8	1	no	—
1112	C₂	—	8	2	no	—
1113	C₂	—	8	2	no	—
1114	C₂	C₁₃×#3484	1	1	yes	characteristic
1115	C₂	C₁₃×#3585	1	1	yes	characteristic
1116	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×#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×#3497	C₂	semidirect
3. C₁₃×#3320	C₂	semidirect
4. C₁₃×#3313	C₂	semidirect
5. C₁₃×#3309	C₂	semidirect
6. C₁₃×#3308	C₂	semidirect
7. C₁₃×#3271	C₂	semidirect
8. C₁₃×#3268	C₂	semidirect
9. C₁₃×#3266	C₂	semidirect
10. C₁₃×#3265	C₂	semidirect
11. C₁₃×#3219	C₂	semidirect
12. C₁₃×#3214	C₂	semidirect
13. C₁₃×#3203	C₂	semidirect
14. C₁₃×#3198	C₂	semidirect
15. C₁₃×#3117	C₂	semidirect
16. C₁₃×#3112	C₂	semidirect
17. C₁₃×#3013	C₂	semidirect
18. C₁₃×#3010	C₂	semidirect
19. C₁₃×#2980	C₂	semidirect
20. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
21. C₂×C₁₃×#137	C₂²	semidirect
23. C₂×C₁₃×#135	C₂²	semidirect
31. C₁₃×#550	C₂²	semidirect
33. D₄×Q₈×C₁₃	C₂²	semidirect
36. C₁₃×#548	C₂²	semidirect
46. C₁₃×#537	C₂²	semidirect
52. C₁₃×#532	C₂²	semidirect
54. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
58. C₁₃×#491	C₂²	semidirect
59. C₁₃×#490	C₂²	semidirect
60. C₁₃×#489	C₂²	semidirect
61. C₁₃×#485	C₂²	semidirect
62. C₁₃×#484	C₂²	semidirect
63. C₁₃×#484	C₂²	semidirect
64. C₁₃×#482	C₂²	semidirect
66. C₁₃×#480	C₂²	semidirect
67. C₁₃×#480	C₂²	semidirect
68. C₁₃×#479	C₂²	semidirect
69. C₁₃×#477	C₂²	semidirect
70. C₁₃×#469	C₂²	semidirect
73. C₁₃×#468	C₂²	semidirect
74. C₁₃×#467	C₂²	semidirect
77. C₁₃×#465	C₂²	semidirect
79. C₁₃×#464	C₂²	semidirect
81. C₁₃×#461	C₂²	semidirect
83. C₁₃×#459	C₂²	semidirect
84. C₁₃×#452	C₂²	semidirect
85. C₁₃×#452	C₂²	semidirect
86. C₁₃×#452	C₂²	semidirect
87. C₁₃×#451	C₂²	semidirect
88. C₁₃×#451	C₂²	semidirect
93. C₁₃×#449	C₂²	semidirect
94. C₁₃×#449	C₂²	semidirect
95. C₁₃×#449	C₂²	semidirect
96. C₁₃×#449	C₂²	semidirect
100. C₁₃×#448	C₂²	semidirect
101. C₁₃×#448	C₂²	semidirect
103. C₁₃×#441	C₂²	semidirect
105. C₁₃×#440	C₂²	semidirect
106. C₁₃×#440	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×#419	C₂²	semidirect
114. C₁₃×#417	C₂²	semidirect
115. C₁₃×#416	C₂²	semidirect
116. C₂×C₁₃×#103	C₂²	semidirect
117. C₁₃×#408	C₂²	semidirect
118. C₁₃×#408	C₂²	semidirect
286. #61671	C₁₃	direct (N × H)
432. #3546	C₂×C₁₃	semidirect
433. #3497	C₂×C₁₃	semidirect
434. #3320	C₂×C₁₃	semidirect
435. #3313	C₂×C₁₃	semidirect
436. #3309	C₂×C₁₃	semidirect
437. #3308	C₂×C₁₃	semidirect
438. #3271	C₂×C₁₃	semidirect
439. #3268	C₂×C₁₃	semidirect
440. #3266	C₂×C₁₃	semidirect
441. #3265	C₂×C₁₃	semidirect
442. #3219	C₂×C₁₃	semidirect
443. #3214	C₂×C₁₃	semidirect
444. #3203	C₂×C₁₃	semidirect
445. #3198	C₂×C₁₃	semidirect
446. #3117	C₂×C₁₃	semidirect
447. #3112	C₂×C₁₃	semidirect
448. #3013	C₂×C₁₃	semidirect
449. #3010	C₂×C₁₃	semidirect
450. #2980	C₂×C₁₃	semidirect
534. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
535. C₂×#137	C₂²×C₁₃	semidirect
537. C₂×#135	C₂²×C₁₃	semidirect
545. #550	C₂²×C₁₃	semidirect
547. D₄×Q₈	C₂²×C₁₃	semidirect
550. #548	C₂²×C₁₃	semidirect
560. #537	C₂²×C₁₃	semidirect
566. #532	C₂²×C₁₃	semidirect
568. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
572. #491	C₂²×C₁₃	semidirect
573. #490	C₂²×C₁₃	semidirect
574. #489	C₂²×C₁₃	semidirect
575. #485	C₂²×C₁₃	semidirect
576. #484	C₂²×C₁₃	semidirect
577. #484	C₂²×C₁₃	semidirect
578. #482	C₂²×C₁₃	semidirect
580. #480	C₂²×C₁₃	semidirect
581. #480	C₂²×C₁₃	semidirect
582. #479	C₂²×C₁₃	semidirect
583. #477	C₂²×C₁₃	semidirect
584. #469	C₂²×C₁₃	semidirect
587. #468	C₂²×C₁₃	semidirect
588. #467	C₂²×C₁₃	semidirect
591. #465	C₂²×C₁₃	semidirect
593. #464	C₂²×C₁₃	semidirect
595. #461	C₂²×C₁₃	semidirect
597. #459	C₂²×C₁₃	semidirect
598. #452	C₂²×C₁₃	semidirect
599. #452	C₂²×C₁₃	semidirect
600. #452	C₂²×C₁₃	semidirect
601. #451	C₂²×C₁₃	semidirect
602. #451	C₂²×C₁₃	semidirect
607. #449	C₂²×C₁₃	semidirect
608. #449	C₂²×C₁₃	semidirect
609. #449	C₂²×C₁₃	semidirect
610. #449	C₂²×C₁₃	semidirect
614. #448	C₂²×C₁₃	semidirect
615. #448	C₂²×C₁₃	semidirect
617. #441	C₂²×C₁₃	semidirect
619. #440	C₂²×C₁₃	semidirect
620. #440	C₂²×C₁₃	semidirect
622. #435	C₂²×C₁₃	semidirect
623. #435	C₂²×C₁₃	semidirect
624. #435	C₂²×C₁₃	semidirect
625. #432	C₂²×C₁₃	semidirect
626. #432	C₂²×C₁₃	semidirect
627. #419	C₂²×C₁₃	semidirect
628. #417	C₂²×C₁₃	semidirect
629. #416	C₂²×C₁₃	semidirect
630. C₂×#103	C₂²×C₁₃	semidirect
631. #408	C₂²×C₁₃	semidirect
632. #408	C₂²×C₁₃	semidirect
989. C₁₃	#61671	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×#3497	2
C₁₃×#3320	2
C₁₃×#3313	2
C₁₃×#3309	2
C₁₃×#3308	2
C₁₃×#3271	2
C₁₃×#3268	2
C₁₃×#3266	2
C₁₃×#3265	2
C₁₃×#3219	2
C₁₃×#3214	2
C₁₃×#3203	2
C₁₃×#3198	2
C₁₃×#3117	2
C₁₃×#3112	2
C₁₃×#3013	2
C₁₃×#3010	2
C₁₃×#2980	2
#61671	13

Subgroups — C13×#61671 #15748010

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61671 #15748010