Subgroups — C₁₃×#61074 #15747413

Order 3328.

2774 conjugacy classes of subgroups.

The subgroup lattice has 1434 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#576	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#575	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3485	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3284	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3280	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3275	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3272	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3154	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3063	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3041	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3009	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2946	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2933	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#576	—	2	8	no	—
29	C₁₃×#575	—	2	8	no	—
30	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
32	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
35	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
36	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
38	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
41	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
42	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
43	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₁₃×D₈	C₂²	1	2	yes	complemented
46	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#550	C₂²	1	2	yes	complemented
50	C₁₃×#548	C₂²	1	2	yes	complemented
51	C₁₃×#547	—	2	1	no	—
52	C₁₃×#547	—	2	1	no	—
53	C₁₃×#547	C₂²	1	2	yes	complemented
54	C₁₃×#547	C₂²	1	2	yes	complemented
55	C₁₃×#546	—	2	2	no	—
56	C₁₃×#546	—	2	1	no	—
57	C₁₃×#546	—	2	1	no	—
58	C₁₃×#546	C₂²	1	2	yes	complemented
59	C₁₃×#546	C₂²	1	2	yes	complemented
60	C₁₃×#546	C₂²	1	2	yes	complemented
61	D₄²×C₁₃	—	2	2	no	—
62	D₄²×C₁₃	C₂²	1	2	yes	complemented
63	C₁₃×#537	—	2	1	no	—
64	C₁₃×#537	C₂²	1	1	yes	characteristic
65	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#535	—	2	1	no	—
68	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#534	—	2	2	no	—
70	C₁₃×#525	—	2	1	no	—
71	C₁₃×#525	C₂²	1	1	yes	characteristic
72	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₁₃×#123	—	2	2	no	—
74	C₂×C₁₃×#121	—	2	1	no	—
75	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#497	C₂²	1	2	yes	complemented
79	C₁₃×#496	C₂²	1	2	yes	complemented
80	C₁₃×#495	C₂²	1	2	yes	complemented
81	C₁₃×#492	C₂²	1	2	yes	complemented
82	C₁₃×#470	C₂²	1	2	yes	complemented
83	C₁₃×#469	C₂²	1	2	yes	complemented
84	C₁₃×#468	C₂²	1	2	yes	complemented
85	C₁₃×#468	C₂²	1	2	yes	complemented
86	C₁₃×#467	C₂²	1	2	yes	complemented
87	C₁₃×#466	C₂²	1	2	yes	complemented
88	C₁₃×#465	C₂²	1	2	yes	complemented
89	C₁₃×#465	C₂²	1	2	yes	complemented
90	C₁₃×#464	C₂²	1	2	yes	complemented
91	C₁₃×#463	C₂²	1	2	yes	complemented
92	C₁₃×#463	C₂²	1	2	yes	complemented
93	C₁₃×#463	C₂²	1	2	yes	complemented
94	C₁₃×#462	C₂²	1	2	yes	complemented
95	C₁₃×#461	C₂²	1	2	yes	complemented
96	C₁₃×#459	C₂²	1	2	yes	complemented
97	C₁₃×#459	C₂²	1	2	yes	complemented
98	C₁₃×#452	C₂²	1	2	yes	complemented
99	C₁₃×#452	C₂²	1	2	yes	complemented
100	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#452	C₂²	1	2	yes	complemented
102	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#450	C₂²	1	2	yes	complemented
105	C₁₃×#450	C₂²	1	2	yes	complemented
106	C₁₃×#450	C₂²	1	2	yes	complemented
107	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#449	C₂²	1	2	yes	complemented
109	C₁₃×#449	C₂²	1	2	yes	complemented
110	C₁₃×#449	C₂²	1	2	yes	complemented
111	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#449	C₂²	1	2	yes	complemented
113	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#449	C₂²	1	2	yes	complemented
115	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#447	C₂²	1	2	yes	complemented
118	C₁₃×#442	C₂²	1	2	yes	complemented
119	C₁₃×#440	C₂²	1	2	yes	complemented
120	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
121	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
122	C₁₃×#436	C₂²	1	2	yes	complemented
123	C₁₃×#435	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	complemented
125	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
126	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×H(5,𝔽₂)	—	2	4	no	—
138	C₁₃×H(5,𝔽₂)	—	2	4	no	—
139	C₁₃×H(5,𝔽₂)	—	4	2	no	—
140	C₁₃×H(5,𝔽₂)	—	4	2	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	—	2	1	no	—
143	C₂×C₁₃×#41	—	2	1	no	—
144	C₂×C₁₃×#41	—	2	1	no	—
145	C₂×C₁₃×#41	—	2	1	no	—
146	C₂×C₁₃×#41	—	2	1	no	—
147	C₂×C₁₃×#41	—	2	4	no	—
148	C₂×C₁₃×#41	—	2	4	no	—
149	C₂×C₁₃×#41	—	4	2	no	—
150	C₂×C₁₃×#41	—	4	2	no	—
151	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×#41	C₂³	1	2	yes	—
154	C₂×C₁₃×#41	C₂³	1	2	yes	—
155	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
156	C₂×C₁₃×#41	C₂³	1	2	yes	—
157	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×#41	C₂³	1	2	yes	—
159	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
161	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
162	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
163	C₂²×D₄×C₁₃	—	2	1	no	—
164	C₂²×D₄×C₁₃	—	2	1	no	—
165	C₂²×D₄×C₁₃	—	2	1	no	—
166	C₂²×D₄×C₁₃	—	2	1	no	—
167	C₂²×D₄×C₁₃	—	2	2	no	—
168	C₂²×D₄×C₁₃	—	2	2	no	—
169	C₂²×D₄×C₁₃	—	2	1	no	—
170	C₂²×D₄×C₁₃	—	2	2	no	—
171	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
172	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
173	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
174	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
175	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
176	C₂³×C₄×C₁₃	—	2	1	no	—
177	C₂³×C₄×C₁₃	—	2	1	no	—
178	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
179	C₁₃×#137	—	2	4	no	—
180	C₁₃×#137	—	2	8	no	—
181	C₁₃×#137	—	2	4	no	—
182	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
183	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
184	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
185	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
186	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
187	C₁₃×AGL(1,ℤ/8)	D₄	1	8	yes	complemented
188	C₁₃×#135	—	2	4	no	—
189	C₁₃×#135	—	2	8	no	—
190	C₁₃×#135	—	2	8	no	—
191	C₁₃×#135	—	2	8	no	—
192	C₁₃×#135	—	4	2	no	—
193	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
195	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
196	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×SD₁₆	—	4	2	no	—
198	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
199	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
200	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
202	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
203	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
204	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
207	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
208	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
209	C₂×C₁₃×D₈	—	2	4	no	—
210	C₂×C₁₃×D₈	—	2	8	no	—
211	C₂×C₁₃×D₈	C₂³	1	2	yes	—
212	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×D₈	C₂³	1	2	yes	—
214	C₂×C₁₃×D₈	C₂³	1	2	yes	—
215	C₂×C₁₃×D₈	C₂³	1	2	yes	—
216	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×D₈	C₂³	1	2	yes	—
218	C₁₃×#131	—	2	4	no	—
219	C₂×C₁₃×M₁₆	—	2	4	no	—
220	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
222	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
223	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
224	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
227	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
228	C₁₃×C₄⋊Q₈	—	2	1	no	—
229	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
230	C₁₃×#127	—	2	2	no	—
231	C₁₃×#127	C₂³	1	2	yes	—
232	C₁₃×#124	—	2	1	no	—
233	C₁₃×#124	—	2	2	no	—
234	C₁₃×#124	C₂³	1	2	yes	—
235	C₁₃×#124	C₂³	1	2	yes	—
236	C₁₃×#123	—	2	2	no	—
237	C₁₃×#123	—	2	1	no	—
238	C₁₃×#123	—	2	2	no	—
239	C₁₃×#123	—	2	2	no	—
240	C₁₃×#123	—	2	2	no	—
241	C₁₃×#123	—	2	2	no	—
242	C₁₃×#123	—	2	2	no	—
243	C₁₃×#123	—	2	2	no	—
244	C₁₃×#123	—	2	2	no	—
245	C₁₃×#123	—	2	2	no	—
246	C₁₃×#123	D₄	1	2	yes	—
247	C₁₃×C₂²⋊Q₈	—	2	1	no	—
248	C₁₃×C₂²⋊Q₈	—	2	1	no	—
249	C₁₃×C₂²⋊Q₈	—	2	1	no	—
250	C₁₃×C₂²⋊Q₈	—	2	2	no	—
251	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
252	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
253	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₁₃×#121	—	2	1	no	—
259	C₁₃×#121	—	2	2	no	—
260	C₁₃×#121	—	2	2	no	—
261	C₁₃×#121	—	2	2	no	—
262	C₁₃×#121	—	2	2	no	—
263	C₁₃×#121	—	2	1	no	—
264	C₁₃×#121	—	2	1	no	—
265	C₁₃×#121	—	2	1	no	—
266	C₁₃×#121	—	2	1	no	—
267	C₁₃×#121	—	2	2	no	—
268	C₁₃×#121	—	2	2	no	—
269	C₁₃×#121	—	2	2	no	—
270	C₁₃×#121	—	2	2	no	—
271	C₁₃×#121	—	2	2	no	—
272	C₁₃×#121	—	2	2	no	—
273	C₁₃×#121	D₄	1	1	yes	characteristic
274	C₁₃×#121	D₄	1	1	yes	characteristic
275	C₁₃×#121	C₂³	1	1	yes	characteristic
276	C₁₃×#121	C₂³	1	2	yes	—
277	C₁₃×#121	C₂³	1	2	yes	—
278	C₁₃×#121	C₂³	1	1	yes	characteristic
279	C₁₃×#121	C₂³	1	2	yes	—
280	C₁₃×#120	—	2	1	no	—
281	C₁₃×#120	—	2	2	no	—
282	C₁₃×#120	—	2	2	no	—
283	C₁₃×#120	—	2	2	no	—
284	C₁₃×#120	—	2	2	no	—
285	C₁₃×#120	—	2	2	no	—
286	C₁₃×#120	—	2	2	no	—
287	C₁₃×#120	D₄	1	2	yes	—
288	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
289	C₄×D₄×C₁₃	—	2	1	no	—
290	C₄×D₄×C₁₃	—	2	1	no	—
291	C₄×D₄×C₁₃	—	2	1	no	—
292	C₄×D₄×C₁₃	—	2	1	no	—
293	C₄×D₄×C₁₃	—	2	2	no	—
294	C₄×D₄×C₁₃	—	2	2	no	—
295	C₄×D₄×C₁₃	—	2	2	no	—
296	C₄×D₄×C₁₃	C₂³	1	2	yes	—
297	C₄×D₄×C₁₃	C₂³	1	2	yes	—
298	C₄×D₄×C₁₃	C₂³	1	2	yes	—
299	C₄×D₄×C₁₃	C₂³	1	2	yes	—
300	C₄×D₄×C₁₃	C₂³	1	2	yes	—
301	C₁₃×#117	—	2	1	no	—
302	C₁₃×#117	C₂³	1	1	yes	characteristic
303	C₁₃×#117	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
305	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
306	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
307	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
309	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
310	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
311	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
312	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
313	C₁₃×#107	C₂³	1	2	yes	—
314	C₁₃×#106	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
317	C₁₃×#103	C₂³	1	2	yes	—
318	C₁₃×#103	C₂³	1	2	yes	—
319	C₁₃×#103	C₂³	1	1	yes	characteristic
320	C₁₃×#103	C₂³	1	1	yes	characteristic
321	C₁₃×#103	C₂³	1	1	yes	characteristic
322	C₁₃×#103	C₂³	1	1	yes	characteristic
323	C₁₃×#103	C₂³	1	2	yes	—
324	C₁₃×#102	C₂³	1	2	yes	—
325	C₁₃×#102	C₂³	1	2	yes	—
326	C₁₃×#102	C₂³	1	1	yes	characteristic
327	C₁₃×#102	C₂³	1	1	yes	characteristic
328	C₁₃×#102	C₂³	1	1	yes	characteristic
329	C₁₃×#102	C₂³	1	1	yes	characteristic
330	C₁₃×#102	C₂³	1	2	yes	—
331	C₁₃×#102	C₂³	1	2	yes	—
332	C₁₃×#102	C₂³	1	2	yes	—
333	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
335	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₄×C₈×C₁₃	C₂³	1	2	yes	—
341	#61074	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
342	C₂⁴×C₁₃	—	2	1	no	—
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₂⁴×C₁₃	—	2	2	no	—
345	C₂⁴×C₁₃	—	2	2	no	—
346	C₂⁴×C₁₃	—	2	1	no	—
347	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
348	C₁₃×#41	—	2	2	no	—
349	C₁₃×#41	—	2	2	no	—
350	C₁₃×#41	—	2	2	no	—
351	C₁₃×#41	—	2	2	no	—
352	C₁₃×#41	—	2	4	no	—
353	C₁₃×#41	—	2	4	no	—
354	C₁₃×#41	—	2	2	no	—
355	C₁₃×#41	—	2	4	no	—
356	C₁₃×#41	—	2	4	no	—
357	C₁₃×#41	—	2	2	no	—
358	C₁₃×#41	—	2	2	no	—
359	C₁₃×#41	—	2	2	no	—
360	C₁₃×#41	—	2	2	no	—
361	C₁₃×#41	—	4	4	no	—
362	C₁₃×#41	—	4	2	no	—
363	C₁₃×#41	—	4	1	no	—
364	C₁₃×#41	—	4	2	no	—
365	C₁₃×#41	—	4	1	no	—
366	C₁₃×#41	—	4	2	no	—
367	C₁₃×#41	—	4	2	no	—
368	C₁₃×#41	—	4	4	no	—
369	C₁₃×#41	—	4	4	no	—
370	C₁₃×#41	—	4	4	no	—
371	C₁₃×#41	—	4	4	no	—
372	C₁₃×#41	—	4	4	no	—
373	C₁₃×#41	C₂×D₄	1	4	yes	—
374	C₂×Q₈×C₁₃	—	2	1	no	—
375	C₂×Q₈×C₁₃	—	2	1	no	—
376	C₂×Q₈×C₁₃	—	2	2	no	—
377	C₂×Q₈×C₁₃	—	2	2	no	—
378	C₂×Q₈×C₁₃	—	2	2	no	—
379	C₂×Q₈×C₁₃	—	4	1	no	—
380	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
381	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
383	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×D₄×C₁₃	—	2	1	no	—
386	C₂×D₄×C₁₃	—	2	4	no	—
387	C₂×D₄×C₁₃	—	2	4	no	—
388	C₂×D₄×C₁₃	—	2	2	no	—
389	C₂×D₄×C₁₃	—	2	2	no	—
390	C₂×D₄×C₁₃	—	2	1	no	—
391	C₂×D₄×C₁₃	—	2	1	no	—
392	C₂×D₄×C₁₃	—	2	2	no	—
393	C₂×D₄×C₁₃	—	2	2	no	—
394	C₂×D₄×C₁₃	—	2	1	no	—
395	C₂×D₄×C₁₃	—	2	2	no	—
396	C₂×D₄×C₁₃	—	2	2	no	—
397	C₂×D₄×C₁₃	—	2	1	no	—
398	C₂×D₄×C₁₃	—	2	1	no	—
399	C₂×D₄×C₁₃	—	2	1	no	—
400	C₂×D₄×C₁₃	—	2	2	no	—
401	C₂×D₄×C₁₃	—	2	2	no	—
402	C₂×D₄×C₁₃	—	2	1	no	—
403	C₂×D₄×C₁₃	—	2	2	no	—
404	C₂×D₄×C₁₃	—	2	1	no	—
405	C₂×D₄×C₁₃	—	2	2	no	—
406	C₂×D₄×C₁₃	—	2	1	no	—
407	C₂×D₄×C₁₃	—	2	2	no	—
408	C₂×D₄×C₁₃	—	2	2	no	—
409	C₂×D₄×C₁₃	—	2	2	no	—
410	C₂×D₄×C₁₃	—	2	2	no	—
411	C₂×D₄×C₁₃	—	2	2	no	—
412	C₂×D₄×C₁₃	—	4	1	no	—
413	C₂×D₄×C₁₃	—	4	2	no	—
414	C₂×D₄×C₁₃	—	4	2	no	—
415	C₂×D₄×C₁₃	—	4	4	no	—
416	C₂×D₄×C₁₃	—	4	8	no	—
417	C₂×D₄×C₁₃	—	4	4	no	—
418	C₂×D₄×C₁₃	—	4	4	no	—
419	C₂×D₄×C₁₃	—	4	8	no	—
420	C₂×D₄×C₁₃	—	4	4	no	—
421	C₂×D₄×C₁₃	—	8	4	no	—
422	C₂×D₄×C₁₃	—	8	2	no	—
423	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
424	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
425	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
426	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
427	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	complemented
428	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
429	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
430	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
431	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
432	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₁₃	—	2	1	no	—
434	C₂²×C₄×C₁₃	—	2	2	no	—
435	C₂²×C₄×C₁₃	—	2	2	no	—
436	C₂²×C₄×C₁₃	—	2	1	no	—
437	C₂²×C₄×C₁₃	—	2	1	no	—
438	C₂²×C₄×C₁₃	—	2	1	no	—
439	C₂²×C₄×C₁₃	—	2	1	no	—
440	C₂²×C₄×C₁₃	—	2	2	no	—
441	C₂²×C₄×C₁₃	—	2	2	no	—
442	C₂²×C₄×C₁₃	—	2	2	no	—
443	C₂²×C₄×C₁₃	—	2	1	no	—
444	C₂²×C₄×C₁₃	—	2	2	no	—
445	C₂²×C₄×C₁₃	—	2	1	no	—
446	C₂²×C₄×C₁₃	—	2	1	no	—
447	C₂²×C₄×C₁₃	—	2	2	no	—
448	C₂²×C₄×C₁₃	—	2	2	no	—
449	C₂²×C₄×C₁₃	—	2	2	no	—
450	C₂²×C₄×C₁₃	—	4	4	no	—
451	C₂²×C₄×C₁₃	—	4	4	no	—
452	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
453	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
454	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
455	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
458	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₁₃×Q₁₆	—	2	2	no	—
460	C₁₃×Q₁₆	—	2	4	no	—
461	C₁₃×Q₁₆	—	2	4	no	—
462	C₁₃×Q₁₆	—	4	1	no	—
463	C₁₃×SD₁₆	—	2	2	no	—
464	C₁₃×SD₁₆	—	2	2	no	—
465	C₁₃×SD₁₆	—	2	4	no	—
466	C₁₃×SD₁₆	—	2	4	no	—
467	C₁₃×SD₁₆	—	2	4	no	—
468	C₁₃×SD₁₆	—	2	4	no	—
469	C₁₃×SD₁₆	—	4	2	no	—
470	C₁₃×SD₁₆	—	4	2	no	—
471	C₁₃×SD₁₆	—	4	1	no	—
472	C₁₃×SD₁₆	—	4	1	no	—
473	C₁₃×SD₁₆	C₂×D₄	1	8	yes	complemented
474	C₁₃×D₈	—	2	4	no	—
475	C₁₃×D₈	—	2	2	no	—
476	C₁₃×D₈	—	2	4	no	—
477	C₁₃×D₈	—	2	4	no	—
478	C₁₃×D₈	—	2	4	no	—
479	C₁₃×D₈	—	4	1	no	—
480	C₁₃×D₈	C₂×D₄	1	8	yes	complemented
481	C₁₃×M₁₆	—	2	2	no	—
482	C₁₃×M₁₆	—	2	4	no	—
483	C₁₃×M₁₆	—	2	4	no	—
484	C₁₃×M₁₆	C₂×D₄	1	4	yes	complemented
485	C₂×C₈×C₁₃	—	2	2	no	—
486	C₂×C₈×C₁₃	—	2	2	no	—
487	C₂×C₈×C₁₃	—	2	4	no	—
488	C₂×C₈×C₁₃	—	2	4	no	—
489	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
490	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
492	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
495	C₁₃×C₄⋊C₄	—	2	1	no	—
496	C₁₃×C₄⋊C₄	—	2	1	no	—
497	C₁₃×C₄⋊C₄	—	2	1	no	—
498	C₁₃×C₄⋊C₄	—	2	2	no	—
499	C₁₃×C₄⋊C₄	—	2	2	no	—
500	C₁₃×C₄⋊C₄	—	2	2	no	—
501	C₁₃×C₄⋊C₄	—	2	2	no	—
502	C₁₃×C₄⋊C₄	—	2	2	no	—
503	C₁₃×C₄⋊C₄	—	2	2	no	—
504	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
505	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
506	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
507	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
508	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
509	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
510	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
511	C₁₃×C₂²⋊C₄	—	2	1	no	—
512	C₁₃×C₂²⋊C₄	—	2	2	no	—
513	C₁₃×C₂²⋊C₄	—	2	2	no	—
514	C₁₃×C₂²⋊C₄	—	2	2	no	—
515	C₁₃×C₂²⋊C₄	—	2	1	no	—
516	C₁₃×C₂²⋊C₄	—	2	1	no	—
517	C₁₃×C₂²⋊C₄	—	2	2	no	—
518	C₁₃×C₂²⋊C₄	—	2	1	no	—
519	C₁₃×C₂²⋊C₄	—	2	1	no	—
520	C₁₃×C₂²⋊C₄	—	2	2	no	—
521	C₁₃×C₂²⋊C₄	—	2	2	no	—
522	C₁₃×C₂²⋊C₄	—	2	2	no	—
523	C₁₃×C₂²⋊C₄	—	2	2	no	—
524	C₁₃×C₂²⋊C₄	—	2	2	no	—
525	C₁₃×C₂²⋊C₄	—	2	2	no	—
526	C₁₃×C₂²⋊C₄	—	2	2	no	—
527	C₁₃×C₂²⋊C₄	—	2	2	no	—
528	C₁₃×C₂²⋊C₄	—	2	2	no	—
529	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
530	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
531	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
532	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
533	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
534	C₄²×C₁₃	—	2	2	no	—
535	C₄²×C₁₃	—	2	1	no	—
536	C₄²×C₁₃	C₂⁴	1	2	yes	—
537	C₂×#576	C₂×C₁₃	1	1	yes	characteristic, complemented
538	C₂×#575	C₂×C₁₃	1	1	yes	characteristic, complemented
539	#3488	C₂×C₁₃	1	1	yes	characteristic, complemented
540	#3485	C₂×C₁₃	1	1	yes	characteristic, complemented
541	#3284	C₂×C₁₃	1	2	yes	complemented
542	#3280	C₂×C₁₃	1	2	yes	complemented
543	#3275	C₂×C₁₃	1	2	yes	complemented
544	#3272	C₂×C₁₃	1	2	yes	complemented
545	#3269	C₂×C₁₃	1	2	yes	complemented
546	#3268	C₂×C₁₃	1	2	yes	complemented
547	#3267	C₂×C₁₃	1	2	yes	complemented
548	#3264	C₂×C₁₃	1	2	yes	complemented
549	#3154	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#3063	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#3055	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#3046	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#3041	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#3009	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
557	C₂×#449	C₂×C₁₃	1	1	yes	characteristic, complemented
558	#2946	C₂×C₁₃	1	1	yes	characteristic, complemented
559	#2933	C₂×C₁₃	1	1	yes	characteristic, complemented
560	C₂³×C₁₃	—	2	2	no	—
561	C₂³×C₁₃	—	2	1	no	—
562	C₂³×C₁₃	—	2	2	no	—
563	C₂³×C₁₃	—	2	4	no	—
564	C₂³×C₁₃	—	2	1	no	—
565	C₂³×C₁₃	—	2	2	no	—
566	C₂³×C₁₃	—	2	1	no	—
567	C₂³×C₁₃	—	4	1	no	—
568	C₂³×C₁₃	—	4	1	no	—
569	C₂³×C₁₃	—	4	2	no	—
570	C₂³×C₁₃	—	4	4	no	—
571	C₂³×C₁₃	—	4	4	no	—
572	C₂³×C₁₃	—	4	2	no	—
573	C₂³×C₁₃	—	4	2	no	—
574	C₂³×C₁₃	—	8	1	no	—
575	C₂³×C₁₃	—	8	1	no	—
576	C₂³×C₁₃	—	8	1	no	—
577	C₂³×C₁₃	—	8	1	no	—
578	C₂³×C₁₃	—	8	2	no	—
579	C₂³×C₁₃	—	8	1	no	—
580	C₂³×C₁₃	—	8	2	no	—
581	C₂³×C₁₃	—	8	2	no	—
582	C₂³×C₁₃	—	8	2	no	—
583	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
584	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
585	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
586	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
587	Q₈×C₁₃	—	2	2	no	—
588	Q₈×C₁₃	—	2	1	no	—
589	Q₈×C₁₃	—	2	1	no	—
590	Q₈×C₁₃	—	2	1	no	—
591	Q₈×C₁₃	—	2	2	no	—
592	Q₈×C₁₃	—	2	2	no	—
593	Q₈×C₁₃	—	2	1	no	—
594	Q₈×C₁₃	—	2	1	no	—
595	Q₈×C₁₃	—	4	2	no	—
596	Q₈×C₁₃	—	4	2	no	—
597	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
598	D₄×C₁₃	—	2	4	no	—
599	D₄×C₁₃	—	2	4	no	—
600	D₄×C₁₃	—	2	4	no	—
601	D₄×C₁₃	—	2	2	no	—
602	D₄×C₁₃	—	2	2	no	—
603	D₄×C₁₃	—	2	1	no	—
604	D₄×C₁₃	—	2	1	no	—
605	D₄×C₁₃	—	2	2	no	—
606	D₄×C₁₃	—	2	1	no	—
607	D₄×C₁₃	—	2	1	no	—
608	D₄×C₁₃	—	2	1	no	—
609	D₄×C₁₃	—	2	2	no	—
610	D₄×C₁₃	—	4	2	no	—
611	D₄×C₁₃	—	4	2	no	—
612	D₄×C₁₃	—	4	4	no	—
613	D₄×C₁₃	—	4	4	no	—
614	D₄×C₁₃	—	4	2	no	—
615	D₄×C₁₃	—	4	4	no	—
616	D₄×C₁₃	—	4	2	no	—
617	D₄×C₁₃	—	4	4	no	—
618	D₄×C₁₃	—	4	4	no	—
619	D₄×C₁₃	—	4	2	no	—
620	D₄×C₁₃	—	4	4	no	—
621	D₄×C₁₃	—	4	4	no	—
622	D₄×C₁₃	—	4	2	no	—
623	D₄×C₁₃	—	4	2	no	—
624	D₄×C₁₃	—	4	2	no	—
625	D₄×C₁₃	—	8	2	no	—
626	D₄×C₁₃	—	8	2	no	—
627	D₄×C₁₃	—	8	1	no	—
628	D₄×C₁₃	—	8	1	no	—
629	D₄×C₁₃	—	8	2	no	—
630	D₄×C₁₃	—	8	2	no	—
631	D₄×C₁₃	C₂²×D₄	1	4	yes	—
632	D₄×C₁₃	C₂²×D₄	1	2	yes	—
633	C₂×C₄×C₁₃	—	2	2	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	2	no	—
636	C₂×C₄×C₁₃	—	2	2	no	—
637	C₂×C₄×C₁₃	—	2	4	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	2	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	2	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	2	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	2	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	4	2	no	—
651	C₂×C₄×C₁₃	—	4	4	no	—
652	C₂×C₄×C₁₃	—	4	2	no	—
653	C₂×C₄×C₁₃	—	4	2	no	—
654	C₂×C₄×C₁₃	—	4	4	no	—
655	C₂×C₄×C₁₃	—	4	4	no	—
656	C₂×C₄×C₁₃	—	4	4	no	—
657	C₂×C₄×C₁₃	—	4	2	no	—
658	C₂×C₄×C₁₃	—	4	2	no	—
659	C₂×C₄×C₁₃	—	4	2	no	—
660	C₂×C₄×C₁₃	—	8	2	no	—
661	C₂×C₄×C₁₃	—	8	2	no	—
662	C₂×C₄×C₁₃	—	8	2	no	—
663	C₂×C₄×C₁₃	—	8	1	no	—
664	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
665	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
666	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
667	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
668	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
669	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
670	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
671	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
672	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
673	C₈×C₁₃	—	2	1	no	—
674	C₈×C₁₃	—	2	1	no	—
675	C₈×C₁₃	—	2	2	no	—
676	C₈×C₁₃	—	2	1	no	—
677	C₈×C₁₃	—	2	1	no	—
678	C₈×C₁₃	C₂²×D₄	1	4	yes	—
679	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
680	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
682	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	#576	—	2	8	no	—
684	#575	—	2	8	no	—
685	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
686	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
687	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
688	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
689	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
691	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
692	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
693	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
694	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
695	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
696	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
697	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
698	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
699	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
700	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
702	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
703	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
704	#550	C₂²×C₁₃	1	2	yes	complemented
705	#548	C₂²×C₁₃	1	2	yes	complemented
706	#547	—	2	1	no	—
707	#547	—	2	1	no	—
708	#547	C₂²×C₁₃	1	2	yes	complemented
709	#547	C₂²×C₁₃	1	2	yes	complemented
710	#546	—	2	2	no	—
711	#546	—	2	1	no	—
712	#546	—	2	1	no	—
713	#546	C₂²×C₁₃	1	2	yes	complemented
714	#546	C₂²×C₁₃	1	2	yes	complemented
715	#546	C₂²×C₁₃	1	2	yes	complemented
716	D₄²	—	2	2	no	—
717	D₄²	C₂²×C₁₃	1	2	yes	complemented
718	#537	—	2	1	no	—
719	#537	C₂²×C₁₃	1	1	yes	characteristic
720	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
721	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
722	#535	—	2	1	no	—
723	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
724	#534	—	2	2	no	—
725	#525	—	2	1	no	—
726	#525	C₂²×C₁₃	1	1	yes	characteristic
727	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	C₂×#123	—	2	2	no	—
729	C₂×#121	—	2	1	no	—
730	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
731	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
732	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
733	#497	C₂²×C₁₃	1	2	yes	complemented
734	#496	C₂²×C₁₃	1	2	yes	complemented
735	#495	C₂²×C₁₃	1	2	yes	complemented
736	#492	C₂²×C₁₃	1	2	yes	complemented
737	#470	C₂²×C₁₃	1	2	yes	complemented
738	#469	C₂²×C₁₃	1	2	yes	complemented
739	#468	C₂²×C₁₃	1	2	yes	complemented
740	#468	C₂²×C₁₃	1	2	yes	complemented
741	#467	C₂²×C₁₃	1	2	yes	complemented
742	#466	C₂²×C₁₃	1	2	yes	complemented
743	#465	C₂²×C₁₃	1	2	yes	complemented
744	#465	C₂²×C₁₃	1	2	yes	complemented
745	#464	C₂²×C₁₃	1	2	yes	complemented
746	#463	C₂²×C₁₃	1	2	yes	complemented
747	#463	C₂²×C₁₃	1	2	yes	complemented
748	#463	C₂²×C₁₃	1	2	yes	complemented
749	#462	C₂²×C₁₃	1	2	yes	complemented
750	#461	C₂²×C₁₃	1	2	yes	complemented
751	#459	C₂²×C₁₃	1	2	yes	complemented
752	#459	C₂²×C₁₃	1	2	yes	complemented
753	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
754	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
755	#452	C₂²×C₁₃	1	2	yes	complemented
756	#452	C₂²×C₁₃	1	2	yes	complemented
757	#452	C₂²×C₁₃	1	2	yes	complemented
758	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
760	#450	C₂²×C₁₃	1	2	yes	complemented
761	#450	C₂²×C₁₃	1	2	yes	complemented
762	#450	C₂²×C₁₃	1	2	yes	complemented
763	#449	C₂²×C₁₃	1	2	yes	complemented
764	#449	C₂²×C₁₃	1	2	yes	complemented
765	#449	C₂²×C₁₃	1	2	yes	complemented
766	#449	C₂²×C₁₃	1	2	yes	complemented
767	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
768	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
769	#449	C₂²×C₁₃	1	2	yes	complemented
770	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
771	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
772	#447	C₂²×C₁₃	1	2	yes	complemented
773	#442	C₂²×C₁₃	1	2	yes	complemented
774	#440	C₂²×C₁₃	1	2	yes	complemented
775	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
776	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
777	#436	C₂²×C₁₃	1	2	yes	complemented
778	#435	C₂²×C₁₃	1	2	yes	complemented
779	#435	C₂²×C₁₃	1	2	yes	complemented
780	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
781	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
783	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
784	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
785	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
786	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
787	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
788	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
789	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
790	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
791	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
792	C₂²×C₁₃	—	2	1	no	—
793	C₂²×C₁₃	—	2	1	no	—
794	C₂²×C₁₃	—	2	1	no	—
795	C₂²×C₁₃	—	2	2	no	—
796	C₂²×C₁₃	—	2	1	no	—
797	C₂²×C₁₃	—	2	1	no	—
798	C₂²×C₁₃	—	2	2	no	—
799	C₂²×C₁₃	—	2	1	no	—
800	C₂²×C₁₃	—	2	1	no	—
801	C₂²×C₁₃	—	2	1	no	—
802	C₂²×C₁₃	—	2	2	no	—
803	C₂²×C₁₃	—	2	2	no	—
804	C₂²×C₁₃	—	2	4	no	—
805	C₂²×C₁₃	—	4	2	no	—
806	C₂²×C₁₃	—	4	1	no	—
807	C₂²×C₁₃	—	4	1	no	—
808	C₂²×C₁₃	—	4	2	no	—
809	C₂²×C₁₃	—	4	1	no	—
810	C₂²×C₁₃	—	4	2	no	—
811	C₂²×C₁₃	—	4	1	no	—
812	C₂²×C₁₃	—	4	2	no	—
813	C₂²×C₁₃	—	4	1	no	—
814	C₂²×C₁₃	—	4	1	no	—
815	C₂²×C₁₃	—	4	1	no	—
816	C₂²×C₁₃	—	4	2	no	—
817	C₂²×C₁₃	—	4	1	no	—
818	C₂²×C₁₃	—	8	2	no	—
819	C₂²×C₁₃	—	8	4	no	—
820	C₂²×C₁₃	—	8	4	no	—
821	C₂²×C₁₃	—	16	2	no	—
822	C₂²×C₁₃	—	16	4	no	—
823	C₂²×C₁₃	—	16	4	no	—
824	C₂²×C₁₃	D₄²	1	2	yes	—
825	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
826	C₄×C₁₃	—	2	2	no	—
827	C₄×C₁₃	—	2	2	no	—
828	C₄×C₁₃	—	2	1	no	—
829	C₄×C₁₃	—	2	1	no	—
830	C₄×C₁₃	—	2	2	no	—
831	C₄×C₁₃	—	2	2	no	—
832	C₄×C₁₃	—	4	1	no	—
833	C₄×C₁₃	—	4	2	no	—
834	C₄×C₁₃	—	4	1	no	—
835	C₄×C₁₃	—	4	1	no	—
836	C₄×C₁₃	—	4	1	no	—
837	C₄×C₁₃	—	4	2	no	—
838	C₄×C₁₃	D₄²	1	2	yes	—
839	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
840	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
841	H(5,𝔽₂)	—	2	4	no	—
842	H(5,𝔽₂)	—	2	4	no	—
843	H(5,𝔽₂)	—	4	2	no	—
844	H(5,𝔽₂)	—	4	2	no	—
845	C₂×#41	—	2	1	no	—
846	C₂×#41	—	2	1	no	—
847	C₂×#41	—	2	1	no	—
848	C₂×#41	—	2	1	no	—
849	C₂×#41	—	2	1	no	—
850	C₂×#41	—	2	1	no	—
851	C₂×#41	—	2	4	no	—
852	C₂×#41	—	2	4	no	—
853	C₂×#41	—	4	2	no	—
854	C₂×#41	—	4	2	no	—
855	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
856	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
857	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
858	C₂×#41	C₂³×C₁₃	1	2	yes	—
859	C₂×#41	C₂³×C₁₃	1	2	yes	—
860	C₂×#41	C₂³×C₁₃	1	2	yes	—
861	C₂×#41	C₂³×C₁₃	1	2	yes	—
862	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
863	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
864	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
865	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
866	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
867	C₂²×D₄	—	2	1	no	—
868	C₂²×D₄	—	2	1	no	—
869	C₂²×D₄	—	2	1	no	—
870	C₂²×D₄	—	2	1	no	—
871	C₂²×D₄	—	2	2	no	—
872	C₂²×D₄	—	2	2	no	—
873	C₂²×D₄	—	2	1	no	—
874	C₂²×D₄	—	2	2	no	—
875	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
876	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
877	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
878	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
879	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
880	C₂³×C₄	—	2	1	no	—
881	C₂³×C₄	—	2	1	no	—
882	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
883	#137	—	2	4	no	—
884	#137	—	2	8	no	—
885	#137	—	2	4	no	—
886	AGL(1,ℤ/8)	—	2	4	no	—
887	AGL(1,ℤ/8)	—	2	8	no	—
888	AGL(1,ℤ/8)	—	2	8	no	—
889	AGL(1,ℤ/8)	—	2	8	no	—
890	AGL(1,ℤ/8)	—	2	4	no	—
891	AGL(1,ℤ/8)	D₄×C₁₃	1	8	yes	complemented
892	#135	—	2	4	no	—
893	#135	—	2	8	no	—
894	#135	—	2	8	no	—
895	#135	—	2	8	no	—
896	#135	—	4	2	no	—
897	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
898	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
899	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
900	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
901	C₂×SD₁₆	—	4	2	no	—
902	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
903	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
904	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
905	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
906	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
907	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
908	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
909	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
910	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
911	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
912	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
913	C₂×D₈	—	2	4	no	—
914	C₂×D₈	—	2	8	no	—
915	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
916	C₂×D₈	C₂³×C₁₃	1	2	yes	—
917	C₂×D₈	C₂³×C₁₃	1	2	yes	—
918	C₂×D₈	C₂³×C₁₃	1	2	yes	—
919	C₂×D₈	C₂³×C₁₃	1	2	yes	—
920	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
921	C₂×D₈	C₂³×C₁₃	1	2	yes	—
922	#131	—	2	4	no	—
923	C₂×M₁₆	—	2	4	no	—
924	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
925	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
926	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
927	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
928	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
929	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
930	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
931	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
932	C₄⋊Q₈	—	2	1	no	—
933	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
934	#127	—	2	2	no	—
935	#127	C₂³×C₁₃	1	2	yes	—
936	#124	—	2	1	no	—
937	#124	—	2	2	no	—
938	#124	C₂³×C₁₃	1	2	yes	—
939	#124	C₂³×C₁₃	1	2	yes	—
940	#123	—	2	2	no	—
941	#123	—	2	1	no	—
942	#123	—	2	2	no	—
943	#123	—	2	2	no	—
944	#123	—	2	2	no	—
945	#123	—	2	2	no	—
946	#123	—	2	2	no	—
947	#123	—	2	2	no	—
948	#123	—	2	2	no	—
949	#123	—	2	2	no	—
950	#123	D₄×C₁₃	1	2	yes	—
951	C₂²⋊Q₈	—	2	1	no	—
952	C₂²⋊Q₈	—	2	1	no	—
953	C₂²⋊Q₈	—	2	1	no	—
954	C₂²⋊Q₈	—	2	2	no	—
955	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
956	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
957	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
958	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
959	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
960	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
961	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
962	#121	—	2	1	no	—
963	#121	—	2	2	no	—
964	#121	—	2	2	no	—
965	#121	—	2	2	no	—
966	#121	—	2	2	no	—
967	#121	—	2	1	no	—
968	#121	—	2	1	no	—
969	#121	—	2	1	no	—
970	#121	—	2	1	no	—
971	#121	—	2	2	no	—
972	#121	—	2	2	no	—
973	#121	—	2	2	no	—
974	#121	—	2	2	no	—
975	#121	—	2	2	no	—
976	#121	—	2	2	no	—
977	#121	D₄×C₁₃	1	1	yes	characteristic
978	#121	D₄×C₁₃	1	1	yes	characteristic
979	#121	C₂³×C₁₃	1	2	yes	—
980	#121	C₂³×C₁₃	1	2	yes	—
981	#121	C₂³×C₁₃	1	1	yes	characteristic
982	#121	C₂³×C₁₃	1	1	yes	characteristic
983	#121	C₂³×C₁₃	1	2	yes	—
984	#120	—	2	1	no	—
985	#120	—	2	2	no	—
986	#120	—	2	2	no	—
987	#120	—	2	2	no	—
988	#120	—	2	2	no	—
989	#120	—	2	2	no	—
990	#120	—	2	2	no	—
991	#120	D₄×C₁₃	1	2	yes	—
992	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
993	C₄×D₄	—	2	1	no	—
994	C₄×D₄	—	2	1	no	—
995	C₄×D₄	—	2	1	no	—
996	C₄×D₄	—	2	1	no	—
997	C₄×D₄	—	2	2	no	—
998	C₄×D₄	—	2	2	no	—
999	C₄×D₄	—	2	2	no	—
1000	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1001	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1002	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1003	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1004	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1005	#117	—	2	1	no	—
1006	#117	C₂³×C₁₃	1	1	yes	characteristic
1007	#117	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	—	2	1	no	—
1009	C₂×C₄⋊C₄	—	2	2	no	—
1010	C₂×C₄⋊C₄	—	2	2	no	—
1011	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	—	2	1	no	—
1013	C₂×C₂²⋊C₄	—	2	2	no	—
1014	C₂×C₂²⋊C₄	—	2	2	no	—
1015	C₂×C₂²⋊C₄	—	2	2	no	—
1016	C₂×C₂²⋊C₄	—	2	2	no	—
1017	#107	C₂³×C₁₃	1	2	yes	—
1018	#106	C₂³×C₁₃	1	2	yes	—
1019	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1020	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1021	#103	C₂³×C₁₃	1	2	yes	—
1022	#103	C₂³×C₁₃	1	2	yes	—
1023	#103	C₂³×C₁₃	1	1	yes	characteristic
1024	#103	C₂³×C₁₃	1	1	yes	characteristic
1025	#103	C₂³×C₁₃	1	1	yes	characteristic
1026	#103	C₂³×C₁₃	1	1	yes	characteristic
1027	#103	C₂³×C₁₃	1	2	yes	—
1028	#102	C₂³×C₁₃	1	2	yes	—
1029	#102	C₂³×C₁₃	1	2	yes	—
1030	#102	C₂³×C₁₃	1	1	yes	characteristic
1031	#102	C₂³×C₁₃	1	1	yes	characteristic
1032	#102	C₂³×C₁₃	1	1	yes	characteristic
1033	#102	C₂³×C₁₃	1	1	yes	characteristic
1034	#102	C₂³×C₁₃	1	2	yes	—
1035	#102	C₂³×C₁₃	1	2	yes	—
1036	#102	C₂³×C₁₃	1	2	yes	—
1037	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1042	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1043	#97	C₂³×C₁₃	1	2	yes	—
1044	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1045	C₂×C₁₃	—	2	2	no	—
1046	C₂×C₁₃	—	4	1	no	—
1047	C₂×C₁₃	—	4	1	no	—
1048	C₂×C₁₃	—	4	2	no	—
1049	C₂×C₁₃	—	4	4	no	—
1050	C₂×C₁₃	—	4	2	no	—
1051	C₂×C₁₃	—	8	1	no	—
1052	C₂×C₁₃	—	8	2	no	—
1053	C₂×C₁₃	—	8	1	no	—
1054	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1055	C₂×C₁₃	#3584	1	1	yes	characteristic
1056	C₂×C₁₃	#3585	1	1	yes	characteristic
1057	C₂⁴	—	2	1	no	—
1058	C₂⁴	—	2	1	no	—
1059	C₂⁴	—	2	2	no	—
1060	C₂⁴	—	2	2	no	—
1061	C₂⁴	—	2	1	no	—
1062	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1063	#41	—	2	2	no	—
1064	#41	—	2	2	no	—
1065	#41	—	2	2	no	—
1066	#41	—	2	2	no	—
1067	#41	—	2	4	no	—
1068	#41	—	2	4	no	—
1069	#41	—	2	2	no	—
1070	#41	—	2	4	no	—
1071	#41	—	2	4	no	—
1072	#41	—	2	2	no	—
1073	#41	—	2	2	no	—
1074	#41	—	2	2	no	—
1075	#41	—	2	2	no	—
1076	#41	—	4	4	no	—
1077	#41	—	4	2	no	—
1078	#41	—	4	1	no	—
1079	#41	—	4	2	no	—
1080	#41	—	4	1	no	—
1081	#41	—	4	2	no	—
1082	#41	—	4	2	no	—
1083	#41	—	4	4	no	—
1084	#41	—	4	4	no	—
1085	#41	—	4	4	no	—
1086	#41	—	4	4	no	—
1087	#41	—	4	4	no	—
1088	#41	C₂×D₄×C₁₃	1	4	yes	—
1089	C₂×Q₈	—	2	1	no	—
1090	C₂×Q₈	—	2	1	no	—
1091	C₂×Q₈	—	2	2	no	—
1092	C₂×Q₈	—	2	2	no	—
1093	C₂×Q₈	—	2	2	no	—
1094	C₂×Q₈	—	4	1	no	—
1095	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1096	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1097	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1098	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1099	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1100	C₂×D₄	—	2	1	no	—
1101	C₂×D₄	—	2	4	no	—
1102	C₂×D₄	—	2	4	no	—
1103	C₂×D₄	—	2	2	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	2	1	no	—
1106	C₂×D₄	—	2	1	no	—
1107	C₂×D₄	—	2	2	no	—
1108	C₂×D₄	—	2	2	no	—
1109	C₂×D₄	—	2	1	no	—
1110	C₂×D₄	—	2	2	no	—
1111	C₂×D₄	—	2	2	no	—
1112	C₂×D₄	—	2	1	no	—
1113	C₂×D₄	—	2	1	no	—
1114	C₂×D₄	—	2	1	no	—
1115	C₂×D₄	—	2	2	no	—
1116	C₂×D₄	—	2	2	no	—
1117	C₂×D₄	—	2	1	no	—
1118	C₂×D₄	—	2	2	no	—
1119	C₂×D₄	—	2	1	no	—
1120	C₂×D₄	—	2	2	no	—
1121	C₂×D₄	—	2	1	no	—
1122	C₂×D₄	—	2	2	no	—
1123	C₂×D₄	—	2	2	no	—
1124	C₂×D₄	—	2	2	no	—
1125	C₂×D₄	—	2	2	no	—
1126	C₂×D₄	—	2	2	no	—
1127	C₂×D₄	—	4	1	no	—
1128	C₂×D₄	—	4	2	no	—
1129	C₂×D₄	—	4	2	no	—
1130	C₂×D₄	—	4	4	no	—
1131	C₂×D₄	—	4	8	no	—
1132	C₂×D₄	—	4	4	no	—
1133	C₂×D₄	—	4	4	no	—
1134	C₂×D₄	—	4	8	no	—
1135	C₂×D₄	—	4	4	no	—
1136	C₂×D₄	—	8	4	no	—
1137	C₂×D₄	—	8	2	no	—
1138	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1139	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1140	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1141	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1142	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	complemented
1143	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1144	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1145	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1146	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1147	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1148	C₂²×C₄	—	2	1	no	—
1149	C₂²×C₄	—	2	2	no	—
1150	C₂²×C₄	—	2	2	no	—
1151	C₂²×C₄	—	2	1	no	—
1152	C₂²×C₄	—	2	1	no	—
1153	C₂²×C₄	—	2	1	no	—
1154	C₂²×C₄	—	2	1	no	—
1155	C₂²×C₄	—	2	2	no	—
1156	C₂²×C₄	—	2	2	no	—
1157	C₂²×C₄	—	2	2	no	—
1158	C₂²×C₄	—	2	1	no	—
1159	C₂²×C₄	—	2	2	no	—
1160	C₂²×C₄	—	2	1	no	—
1161	C₂²×C₄	—	2	1	no	—
1162	C₂²×C₄	—	2	2	no	—
1163	C₂²×C₄	—	2	2	no	—
1164	C₂²×C₄	—	2	2	no	—
1165	C₂²×C₄	—	4	4	no	—
1166	C₂²×C₄	—	4	4	no	—
1167	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1170	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1171	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1172	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1173	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1174	Q₁₆	—	2	2	no	—
1175	Q₁₆	—	2	4	no	—
1176	Q₁₆	—	2	4	no	—
1177	Q₁₆	—	4	1	no	—
1178	SD₁₆	—	2	2	no	—
1179	SD₁₆	—	2	2	no	—
1180	SD₁₆	—	2	4	no	—
1181	SD₁₆	—	2	4	no	—
1182	SD₁₆	—	2	4	no	—
1183	SD₁₆	—	2	4	no	—
1184	SD₁₆	—	4	2	no	—
1185	SD₁₆	—	4	2	no	—
1186	SD₁₆	—	4	1	no	—
1187	SD₁₆	—	4	1	no	—
1188	SD₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
1189	D₈	—	2	4	no	—
1190	D₈	—	2	2	no	—
1191	D₈	—	2	4	no	—
1192	D₈	—	2	4	no	—
1193	D₈	—	2	4	no	—
1194	D₈	—	4	1	no	—
1195	D₈	C₂×D₄×C₁₃	1	8	yes	complemented
1196	M₁₆	—	2	2	no	—
1197	M₁₆	—	2	4	no	—
1198	M₁₆	—	2	4	no	—
1199	M₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
1200	C₂×C₈	—	2	2	no	—
1201	C₂×C₈	—	2	2	no	—
1202	C₂×C₈	—	2	4	no	—
1203	C₂×C₈	—	2	4	no	—
1204	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1205	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1206	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1207	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1208	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1209	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1210	C₄⋊C₄	—	2	1	no	—
1211	C₄⋊C₄	—	2	1	no	—
1212	C₄⋊C₄	—	2	1	no	—
1213	C₄⋊C₄	—	2	2	no	—
1214	C₄⋊C₄	—	2	2	no	—
1215	C₄⋊C₄	—	2	2	no	—
1216	C₄⋊C₄	—	2	2	no	—
1217	C₄⋊C₄	—	2	2	no	—
1218	C₄⋊C₄	—	2	2	no	—
1219	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1220	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1221	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1222	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1223	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1224	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1225	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1226	C₂²⋊C₄	—	2	1	no	—
1227	C₂²⋊C₄	—	2	2	no	—
1228	C₂²⋊C₄	—	2	2	no	—
1229	C₂²⋊C₄	—	2	2	no	—
1230	C₂²⋊C₄	—	2	1	no	—
1231	C₂²⋊C₄	—	2	1	no	—
1232	C₂²⋊C₄	—	2	2	no	—
1233	C₂²⋊C₄	—	2	1	no	—
1234	C₂²⋊C₄	—	2	1	no	—
1235	C₂²⋊C₄	—	2	2	no	—
1236	C₂²⋊C₄	—	2	2	no	—
1237	C₂²⋊C₄	—	2	2	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	2	no	—
1241	C₂²⋊C₄	—	2	2	no	—
1242	C₂²⋊C₄	—	2	2	no	—
1243	C₂²⋊C₄	—	2	2	no	—
1244	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1245	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1246	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1247	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1248	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1249	C₄²	—	2	2	no	—
1250	C₄²	—	2	1	no	—
1251	C₄²	C₂⁴×C₁₃	1	2	yes	—
1252	C₁₃	#61074	1	1	yes	characteristic, direct product factor, Sylow
1253	C₂³	—	2	2	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	2	no	—
1256	C₂³	—	2	4	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	2	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	4	1	no	—
1261	C₂³	—	4	1	no	—
1262	C₂³	—	4	2	no	—
1263	C₂³	—	4	4	no	—
1264	C₂³	—	4	4	no	—
1265	C₂³	—	4	2	no	—
1266	C₂³	—	4	2	no	—
1267	C₂³	—	8	1	no	—
1268	C₂³	—	8	1	no	—
1269	C₂³	—	8	1	no	—
1270	C₂³	—	8	1	no	—
1271	C₂³	—	8	2	no	—
1272	C₂³	—	8	1	no	—
1273	C₂³	—	8	2	no	—
1274	C₂³	—	8	2	no	—
1275	C₂³	—	8	2	no	—
1276	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1277	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1278	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1279	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1280	Q₈	—	2	2	no	—
1281	Q₈	—	2	1	no	—
1282	Q₈	—	2	1	no	—
1283	Q₈	—	2	1	no	—
1284	Q₈	—	2	2	no	—
1285	Q₈	—	2	2	no	—
1286	Q₈	—	2	1	no	—
1287	Q₈	—	2	1	no	—
1288	Q₈	—	4	2	no	—
1289	Q₈	—	4	2	no	—
1290	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1291	D₄	—	2	4	no	—
1292	D₄	—	2	4	no	—
1293	D₄	—	2	4	no	—
1294	D₄	—	2	2	no	—
1295	D₄	—	2	2	no	—
1296	D₄	—	2	1	no	—
1297	D₄	—	2	1	no	—
1298	D₄	—	2	2	no	—
1299	D₄	—	2	1	no	—
1300	D₄	—	2	1	no	—
1301	D₄	—	2	1	no	—
1302	D₄	—	2	2	no	—
1303	D₄	—	4	2	no	—
1304	D₄	—	4	2	no	—
1305	D₄	—	4	4	no	—
1306	D₄	—	4	4	no	—
1307	D₄	—	4	2	no	—
1308	D₄	—	4	4	no	—
1309	D₄	—	4	2	no	—
1310	D₄	—	4	4	no	—
1311	D₄	—	4	4	no	—
1312	D₄	—	4	2	no	—
1313	D₄	—	4	4	no	—
1314	D₄	—	4	4	no	—
1315	D₄	—	4	2	no	—
1316	D₄	—	4	2	no	—
1317	D₄	—	4	2	no	—
1318	D₄	—	8	2	no	—
1319	D₄	—	8	2	no	—
1320	D₄	—	8	2	no	—
1321	D₄	—	8	2	no	—
1322	D₄	—	8	1	no	—
1323	D₄	—	8	1	no	—
1324	D₄	C₂²×D₄×C₁₃	1	4	yes	—
1325	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1326	C₂×C₄	—	2	2	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	2	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	2	4	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	2	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	2	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	4	2	no	—
1344	C₂×C₄	—	4	4	no	—
1345	C₂×C₄	—	4	2	no	—
1346	C₂×C₄	—	4	2	no	—
1347	C₂×C₄	—	4	4	no	—
1348	C₂×C₄	—	4	4	no	—
1349	C₂×C₄	—	4	4	no	—
1350	C₂×C₄	—	4	2	no	—
1351	C₂×C₄	—	4	2	no	—
1352	C₂×C₄	—	4	2	no	—
1353	C₂×C₄	—	8	2	no	—
1354	C₂×C₄	—	8	2	no	—
1355	C₂×C₄	—	8	2	no	—
1356	C₂×C₄	—	8	1	no	—
1357	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1358	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1359	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1360	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1361	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1362	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1363	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1364	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1365	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1366	C₈	—	2	1	no	—
1367	C₈	—	2	1	no	—
1368	C₈	—	2	2	no	—
1369	C₈	—	2	1	no	—
1370	C₈	—	2	1	no	—
1371	C₈	C₂²×D₄×C₁₃	1	4	yes	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	1	no	—
1375	C₂²	—	2	2	no	—
1376	C₂²	—	2	1	no	—
1377	C₂²	—	2	1	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	1	no	—
1380	C₂²	—	2	1	no	—
1381	C₂²	—	2	1	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	4	no	—
1385	C₂²	—	4	2	no	—
1386	C₂²	—	4	1	no	—
1387	C₂²	—	4	1	no	—
1388	C₂²	—	4	2	no	—
1389	C₂²	—	4	1	no	—
1390	C₂²	—	4	2	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	2	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	4	1	no	—
1396	C₂²	—	4	2	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	8	2	no	—
1399	C₂²	—	8	4	no	—
1400	C₂²	—	8	4	no	—
1401	C₂²	—	16	2	no	—
1402	C₂²	—	16	4	no	—
1403	C₂²	—	16	4	no	—
1404	C₂²	D₄²×C₁₃	1	2	yes	—
1405	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1406	C₄	—	2	2	no	—
1407	C₄	—	2	2	no	—
1408	C₄	—	2	1	no	—
1409	C₄	—	2	1	no	—
1410	C₄	—	2	2	no	—
1411	C₄	—	2	2	no	—
1412	C₄	—	4	1	no	—
1413	C₄	—	4	2	no	—
1414	C₄	—	4	1	no	—
1415	C₄	—	4	1	no	—
1416	C₄	—	4	1	no	—
1417	C₄	—	4	2	no	—
1418	C₄	D₄²×C₁₃	1	2	yes	—
1419	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1420	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1421	C₂	—	2	2	no	—
1422	C₂	—	4	1	no	—
1423	C₂	—	4	1	no	—
1424	C₂	—	4	2	no	—
1425	C₂	—	4	2	no	—
1426	C₂	—	4	4	no	—
1427	C₂	—	8	1	no	—
1428	C₂	—	8	2	no	—
1429	C₂	—	8	1	no	—
1430	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1431	C₂	C₁₃×#3584	1	1	yes	characteristic
1432	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#576	C₂	semidirect
2. C₂×C₁₃×#575	C₂	semidirect
3. C₁₃×#3488	C₂	semidirect
4. C₁₃×#3485	C₂	semidirect
5. C₁₃×#3284	C₂	semidirect
6. C₁₃×#3280	C₂	semidirect
7. C₁₃×#3275	C₂	semidirect
8. C₁₃×#3272	C₂	semidirect
9. C₁₃×#3269	C₂	semidirect
10. C₁₃×#3268	C₂	semidirect
11. C₁₃×#3267	C₂	semidirect
12. C₁₃×#3264	C₂	semidirect
13. C₁₃×#3154	C₂	semidirect
14. C₁₃×#3063	C₂	semidirect
15. C₁₃×#3055	C₂	semidirect
16. C₁₃×#3046	C₂	semidirect
17. C₁₃×#3041	C₂	semidirect
18. C₁₃×#3012	C₂	semidirect
19. C₁₃×#3009	C₂	semidirect
20. C₁₃×#3002	C₂	semidirect
21. C₂×C₁₃×#449	C₂	semidirect
22. C₁₃×#2946	C₂	semidirect
23. C₁₃×#2933	C₂	semidirect
25. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
26. C₂²×C₁₃×#41	C₂²	semidirect
27. C₂²×C₁₃×#41	C₂²	semidirect
30. C₂×C₁₃×#137	C₂²	semidirect
31. C₂×C₁₃×#137	C₂²	semidirect
32. C₂×C₁₃×#137	C₂²	semidirect
34. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
35. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
37. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
40. C₂×C₁₃×#135	C₂²	semidirect
41. C₂×C₁₃×#135	C₂²	semidirect
42. C₂×C₁₃×#135	C₂²	semidirect
43. C₂×C₁₃×#135	C₂²	semidirect
44. C₂²×C₁₃×SD₁₆	C₂²	semidirect
45. C₂²×C₁₃×D₈	C₂²	semidirect
46. C₂²×C₁₃×D₈	C₂²	semidirect
47. C₂×C₁₃×#131	C₂²	semidirect
48. C₂²×C₁₃×M₁₆	C₂²	semidirect
49. C₁₃×#550	C₂²	semidirect
50. C₁₃×#548	C₂²	semidirect
53. C₁₃×#547	C₂²	semidirect
54. C₁₃×#547	C₂²	semidirect
58. C₁₃×#546	C₂²	semidirect
59. C₁₃×#546	C₂²	semidirect
60. C₁₃×#546	C₂²	semidirect
62. D₄²×C₁₃	C₂²	semidirect
65. C₁₃×#536	C₂²	semidirect
66. C₁₃×#536	C₂²	semidirect
68. C₁₃×#535	C₂²	semidirect
72. C₁₃×#525	C₂²	semidirect
75. C₂×C₁₃×#121	C₂²	semidirect
76. C₁₃×#520	C₂²	semidirect
77. C₁₃×#518	C₂²	semidirect
78. C₁₃×#497	C₂²	semidirect
79. C₁₃×#496	C₂²	semidirect
80. C₁₃×#495	C₂²	semidirect
81. C₁₃×#492	C₂²	semidirect
82. C₁₃×#470	C₂²	semidirect
83. C₁₃×#469	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
86. C₁₃×#467	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#465	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#463	C₂²	semidirect
93. C₁₃×#463	C₂²	semidirect
94. C₁₃×#462	C₂²	semidirect
95. C₁₃×#461	C₂²	semidirect
96. C₁₃×#459	C₂²	semidirect
97. C₁₃×#459	C₂²	semidirect
98. C₁₃×#452	C₂²	semidirect
99. C₁₃×#452	C₂²	semidirect
100. C₁₃×#452	C₂²	semidirect
101. C₁₃×#452	C₂²	semidirect
102. C₁₃×#452	C₂²	semidirect
103. C₁₃×#451	C₂²	semidirect
104. C₁₃×#450	C₂²	semidirect
105. C₁₃×#450	C₂²	semidirect
106. C₁₃×#450	C₂²	semidirect
107. C₁₃×#450	C₂²	semidirect
108. C₁₃×#449	C₂²	semidirect
109. C₁₃×#449	C₂²	semidirect
110. C₁₃×#449	C₂²	semidirect
111. C₁₃×#449	C₂²	semidirect
112. C₁₃×#449	C₂²	semidirect
113. C₁₃×#449	C₂²	semidirect
114. C₁₃×#449	C₂²	semidirect
115. C₁₃×#448	C₂²	semidirect
116. C₁₃×#447	C₂²	semidirect
117. C₁₃×#447	C₂²	semidirect
118. C₁₃×#442	C₂²	semidirect
119. C₁₃×#440	C₂²	semidirect
120. C₄×C₁₃×SD₁₆	C₂²	semidirect
121. C₄×C₁₃×D₈	C₂²	semidirect
122. C₁₃×#436	C₂²	semidirect
123. C₁₃×#435	C₂²	semidirect
124. C₁₃×#435	C₂²	semidirect
125. C₈×D₄×C₁₃	C₂²	semidirect
126. C₁₃×#428	C₂²	semidirect
127. C₁₃×#424	C₂²	semidirect
128. C₁₃×#418	C₂²	semidirect
129. C₁₃×#417	C₂²	semidirect
130. C₁₃×#416	C₂²	semidirect
131. C₁₃×#416	C₂²	semidirect
132. C₂×C₁₃×#103	C₂²	semidirect
133. C₂×C₁₃×#102	C₂²	semidirect
134. C₁₃×#408	C₂²	semidirect
135. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
136. C₁₃×#405	C₂²	semidirect
187. C₁₃×AGL(1,ℤ/8)	D₄	semidirect
341. #61074	C₁₃	direct (N × H)
427. C₂×D₄×C₁₃	C₂×D₄	semidirect
473. C₁₃×SD₁₆	C₂×D₄	semidirect
480. C₁₃×D₈	C₂×D₄	semidirect
484. C₁₃×M₁₆	C₂×D₄	semidirect
537. C₂×#576	C₂×C₁₃	semidirect
538. C₂×#575	C₂×C₁₃	semidirect
539. #3488	C₂×C₁₃	semidirect
540. #3485	C₂×C₁₃	semidirect
541. #3284	C₂×C₁₃	semidirect
542. #3280	C₂×C₁₃	semidirect
543. #3275	C₂×C₁₃	semidirect
544. #3272	C₂×C₁₃	semidirect
545. #3269	C₂×C₁₃	semidirect
546. #3268	C₂×C₁₃	semidirect
547. #3267	C₂×C₁₃	semidirect
548. #3264	C₂×C₁₃	semidirect
549. #3154	C₂×C₁₃	semidirect
550. #3063	C₂×C₁₃	semidirect
551. #3055	C₂×C₁₃	semidirect
552. #3046	C₂×C₁₃	semidirect
553. #3041	C₂×C₁₃	semidirect
554. #3012	C₂×C₁₃	semidirect
555. #3009	C₂×C₁₃	semidirect
556. #3002	C₂×C₁₃	semidirect
557. C₂×#449	C₂×C₁₃	semidirect
558. #2946	C₂×C₁₃	semidirect
559. #2933	C₂×C₁₃	semidirect
680. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
681. C₂²×#41	C₂²×C₁₃	semidirect
682. C₂²×#41	C₂²×C₁₃	semidirect
685. C₂×#137	C₂²×C₁₃	semidirect
686. C₂×#137	C₂²×C₁₃	semidirect
687. C₂×#137	C₂²×C₁₃	semidirect
689. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
690. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
691. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
692. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
693. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
695. C₂×#135	C₂²×C₁₃	semidirect
696. C₂×#135	C₂²×C₁₃	semidirect
697. C₂×#135	C₂²×C₁₃	semidirect
698. C₂×#135	C₂²×C₁₃	semidirect
699. C₂²×SD₁₆	C₂²×C₁₃	semidirect
700. C₂²×D₈	C₂²×C₁₃	semidirect
701. C₂²×D₈	C₂²×C₁₃	semidirect
702. C₂×#131	C₂²×C₁₃	semidirect
703. C₂²×M₁₆	C₂²×C₁₃	semidirect
704. #550	C₂²×C₁₃	semidirect
705. #548	C₂²×C₁₃	semidirect
708. #547	C₂²×C₁₃	semidirect
709. #547	C₂²×C₁₃	semidirect
713. #546	C₂²×C₁₃	semidirect
714. #546	C₂²×C₁₃	semidirect
715. #546	C₂²×C₁₃	semidirect
717. D₄²	C₂²×C₁₃	semidirect
720. #536	C₂²×C₁₃	semidirect
721. #536	C₂²×C₁₃	semidirect
723. #535	C₂²×C₁₃	semidirect
727. #525	C₂²×C₁₃	semidirect
730. C₂×#121	C₂²×C₁₃	semidirect
731. #520	C₂²×C₁₃	semidirect
732. #518	C₂²×C₁₃	semidirect
733. #497	C₂²×C₁₃	semidirect
734. #496	C₂²×C₁₃	semidirect
735. #495	C₂²×C₁₃	semidirect
736. #492	C₂²×C₁₃	semidirect
737. #470	C₂²×C₁₃	semidirect
738. #469	C₂²×C₁₃	semidirect
739. #468	C₂²×C₁₃	semidirect
740. #468	C₂²×C₁₃	semidirect
741. #467	C₂²×C₁₃	semidirect
742. #466	C₂²×C₁₃	semidirect
743. #465	C₂²×C₁₃	semidirect
744. #465	C₂²×C₁₃	semidirect
745. #464	C₂²×C₁₃	semidirect
746. #463	C₂²×C₁₃	semidirect
747. #463	C₂²×C₁₃	semidirect
748. #463	C₂²×C₁₃	semidirect
749. #462	C₂²×C₁₃	semidirect
750. #461	C₂²×C₁₃	semidirect
751. #459	C₂²×C₁₃	semidirect
752. #459	C₂²×C₁₃	semidirect
753. #452	C₂²×C₁₃	semidirect
754. #452	C₂²×C₁₃	semidirect
755. #452	C₂²×C₁₃	semidirect
756. #452	C₂²×C₁₃	semidirect
757. #452	C₂²×C₁₃	semidirect
758. #451	C₂²×C₁₃	semidirect
759. #450	C₂²×C₁₃	semidirect
760. #450	C₂²×C₁₃	semidirect
761. #450	C₂²×C₁₃	semidirect
762. #450	C₂²×C₁₃	semidirect
763. #449	C₂²×C₁₃	semidirect
764. #449	C₂²×C₁₃	semidirect
765. #449	C₂²×C₁₃	semidirect
766. #449	C₂²×C₁₃	semidirect
767. #449	C₂²×C₁₃	semidirect
768. #449	C₂²×C₁₃	semidirect
769. #449	C₂²×C₁₃	semidirect
770. #448	C₂²×C₁₃	semidirect
771. #447	C₂²×C₁₃	semidirect
772. #447	C₂²×C₁₃	semidirect
773. #442	C₂²×C₁₃	semidirect
774. #440	C₂²×C₁₃	semidirect
775. C₄×SD₁₆	C₂²×C₁₃	semidirect
776. C₄×D₈	C₂²×C₁₃	semidirect
777. #436	C₂²×C₁₃	semidirect
778. #435	C₂²×C₁₃	semidirect
779. #435	C₂²×C₁₃	semidirect
780. C₈×D₄	C₂²×C₁₃	semidirect
781. #428	C₂²×C₁₃	semidirect
782. #424	C₂²×C₁₃	semidirect
783. #418	C₂²×C₁₃	semidirect
784. #417	C₂²×C₁₃	semidirect
785. #416	C₂²×C₁₃	semidirect
786. #416	C₂²×C₁₃	semidirect
787. C₂×#103	C₂²×C₁₃	semidirect
788. C₂×#102	C₂²×C₁₃	semidirect
789. #408	C₂²×C₁₃	semidirect
790. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
791. #405	C₂²×C₁₃	semidirect
891. AGL(1,ℤ/8)	D₄×C₁₃	semidirect
1142. C₂×D₄	C₂×D₄×C₁₃	semidirect
1188. SD₁₆	C₂×D₄×C₁₃	semidirect
1195. D₈	C₂×D₄×C₁₃	semidirect
1199. M₁₆	C₂×D₄×C₁₃	semidirect
1252. C₁₃	#61074	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#576	2
C₂×C₁₃×#575	2
C₁₃×#3488	2
C₁₃×#3485	2
C₁₃×#3284	2
C₁₃×#3280	2
C₁₃×#3275	2
C₁₃×#3272	2
C₁₃×#3269	2
C₁₃×#3268	2
C₁₃×#3267	2
C₁₃×#3264	2
C₁₃×#3154	2
C₁₃×#3063	2
C₁₃×#3055	2
C₁₃×#3046	2
C₁₃×#3041	2
C₁₃×#3012	2
C₁₃×#3009	2
C₁₃×#3002	2
C₂×C₁₃×#449	2
C₁₃×#2946	2
C₁₃×#2933	2
#61074	13

Subgroups — C13×#61074 #15747413

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61074 #15747413