Subgroups — C₁₃×#61073 #15747412

Order 3328.

2706 conjugacy classes of subgroups.

The subgroup lattice has 1404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#577	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#575	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3489	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3485	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3283	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3276	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3273	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3156	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3063	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3042	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3011	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×#452	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×C₁₃×2₋¹⁺⁴	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
27	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#577	—	2	8	no	—
29	C₁₃×#575	—	2	8	no	—
30	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
31	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
33	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
38	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
39	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
42	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
43	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
44	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
46	C₂²×C₁₃×SD₁₆	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	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
50	C₁₃×#548	C₂²	1	2	yes	complemented
51	C₁₃×#547	—	2	2	no	—
52	C₁₃×#547	—	2	1	no	—
53	C₁₃×#547	—	2	1	no	—
54	C₁₃×#547	C₂²	1	2	yes	—
55	C₁₃×#547	C₂²	1	2	yes	complemented
56	C₁₃×#547	C₂²	1	2	yes	complemented
57	C₁₃×#546	—	2	1	no	—
58	C₁₃×#546	—	2	1	no	—
59	C₁₃×#546	—	2	2	no	—
60	C₁₃×#546	C₂²	1	2	yes	—
61	C₁₃×#546	C₂²	1	2	yes	complemented
62	C₁₃×#546	C₂²	1	2	yes	complemented
63	C₁₃×#537	—	2	1	no	—
64	C₁₃×#537	C₂²	1	1	yes	characteristic
65	C₁₃×#536	—	2	1	no	—
66	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#536	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
73	C₂×C₁₃×#123	—	2	2	no	—
74	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
75	C₂×C₁₃×C₂²⋊Q₈	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×#497	C₂²	1	2	yes	complemented
80	C₁₃×#495	C₂²	1	2	yes	complemented
81	C₁₃×#494	C₂²	1	2	yes	complemented
82	C₁₃×#470	C₂²	1	2	yes	complemented
83	C₁₃×#470	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×#467	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×#461	C₂²	1	2	yes	complemented
97	C₁₃×#461	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	2	yes	complemented
101	C₁₃×#452	C₂²	1	2	yes	complemented
102	C₁₃×#452	C₂²	1	2	yes	complemented
103	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#452	C₂²	1	2	yes	complemented
105	C₁₃×#452	C₂²	1	2	yes	complemented
106	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#451	C₂²	1	2	yes	complemented
108	C₁₃×#451	C₂²	1	2	yes	complemented
109	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#450	C₂²	1	2	yes	complemented
111	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#449	C₂²	1	2	yes	complemented
114	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#447	C₂²	1	2	yes	complemented
117	C₁₃×#447	C₂²	1	1	yes	characteristic, 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×#419	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	C₁₃×2₋¹⁺⁴	—	2	4	no	—
138	C₁₃×2₋¹⁺⁴	—	4	2	no	—
139	C₁₃×H(5,𝔽₂)	—	2	4	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	2	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	1	no	—
148	C₂×C₁₃×#41	—	2	4	no	—
149	C₂×C₁₃×#41	—	2	4	no	—
150	C₂×C₁₃×#41	—	4	2	no	—
151	C₂×C₁₃×#41	—	4	2	no	—
152	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×#41	C₂³	1	2	yes	—
155	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
156	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×#41	C₂³	1	2	yes	—
158	C₂×C₁₃×#41	C₂³	1	2	yes	—
159	C₂×C₁₃×#41	C₂³	1	2	yes	—
160	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
162	C₂²×Q₈×C₁₃	—	2	1	no	—
163	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
164	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
165	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
166	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
167	C₂²×D₄×C₁₃	—	2	1	no	—
168	C₂²×D₄×C₁₃	—	2	1	no	—
169	C₂²×D₄×C₁₃	—	2	2	no	—
170	C₂²×D₄×C₁₃	—	2	1	no	—
171	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
172	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
173	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
174	C₂³×C₄×C₁₃	—	2	1	no	—
175	C₂³×C₄×C₁₃	—	2	1	no	—
176	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
177	C₁₃×#137	—	2	4	no	—
178	C₁₃×#137	—	2	8	no	—
179	C₁₃×#137	—	2	8	no	—
180	C₁₃×#137	—	2	4	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)	D₄	1	8	yes	complemented
186	C₁₃×#135	—	2	4	no	—
187	C₁₃×#135	—	2	8	no	—
188	C₁₃×#135	—	2	8	no	—
189	C₁₃×#135	—	2	8	no	—
190	C₁₃×#135	—	4	2	no	—
191	C₂×C₁₃×Q₁₆	—	4	2	no	—
192	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
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×Q₁₆	C₂³	1	2	yes	—
198	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
199	C₂×C₁₃×SD₁₆	—	2	4	no	—
200	C₂×C₁₃×SD₁₆	—	2	8	no	—
201	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
204	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
205	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
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×SD₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×SD₁₆	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	1	yes	characteristic
215	C₂×C₁₃×D₈	C₂³	1	2	yes	—
216	C₁₃×#131	—	2	4	no	—
217	C₂×C₁₃×M₁₆	—	2	4	no	—
218	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
220	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
221	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
225	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
226	C₁₃×C₄⋊Q₈	—	2	1	no	—
227	C₁₃×C₄⋊Q₈	—	2	2	no	—
228	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
229	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
230	C₁₃×#124	—	2	1	no	—
231	C₁₃×#124	—	2	2	no	—
232	C₁₃×#124	C₂³	1	2	yes	—
233	C₁₃×#124	C₂³	1	2	yes	—
234	C₁₃×#123	—	2	2	no	—
235	C₁₃×#123	—	2	1	no	—
236	C₁₃×#123	—	2	2	no	—
237	C₁₃×#123	—	2	2	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	—	2	2	no	—
247	C₁₃×#123	D₄	1	2	yes	—
248	C₁₃×C₂²⋊Q₈	—	2	1	no	—
249	C₁₃×C₂²⋊Q₈	—	2	1	no	—
250	C₁₃×C₂²⋊Q₈	—	2	1	no	—
251	C₁₃×C₂²⋊Q₈	—	2	1	no	—
252	C₁₃×C₂²⋊Q₈	—	2	2	no	—
253	C₁₃×C₂²⋊Q₈	—	2	1	no	—
254	C₁₃×C₂²⋊Q₈	—	2	1	no	—
255	C₁₃×C₂²⋊Q₈	—	2	1	no	—
256	C₁₃×C₂²⋊Q₈	—	2	2	no	—
257	C₁₃×C₂²⋊Q₈	—	2	2	no	—
258	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
259	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
260	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
262	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
263	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
264	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
265	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
266	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
267	C₁₃×#121	—	2	1	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	—	2	2	no	—
274	C₁₃×#121	—	2	2	no	—
275	C₁₃×#121	—	2	2	no	—
276	C₁₃×#121	D₄	1	1	yes	characteristic
277	C₁₃×#121	D₄	1	1	yes	characteristic
278	C₁₃×#121	C₂³	1	1	yes	characteristic
279	C₁₃×#121	C₂³	1	2	yes	—
280	C₁₃×#121	C₂³	1	1	yes	characteristic
281	C₁₃×#120	—	2	1	no	—
282	C₁₃×#120	—	2	2	no	—
283	C₁₃×#120	—	2	2	no	—
284	C₁₃×#120	—	2	2	no	—
285	C₁₃×#120	D₄	1	2	yes	—
286	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
287	C₄×D₄×C₁₃	—	2	2	no	—
288	C₄×D₄×C₁₃	—	2	1	no	—
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	2	no	—
293	C₄×D₄×C₁₃	—	2	2	no	—
294	C₄×D₄×C₁₃	C₂³	1	2	yes	—
295	C₄×D₄×C₁₃	C₂³	1	2	yes	—
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	C₁₃×#117	—	2	1	no	—
300	C₁₃×#117	C₂³	1	1	yes	characteristic
301	C₁₃×#117	C₂³	1	1	yes	characteristic
302	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
303	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
304	C₂×C₁₃×C₄⋊C₄	—	2	2	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×#103	C₂³	1	2	yes	—
325	C₁₃×#103	C₂³	1	2	yes	—
326	C₁₃×#102	C₂³	1	2	yes	—
327	C₁₃×#102	C₂³	1	2	yes	—
328	C₁₃×#102	C₂³	1	1	yes	characteristic
329	C₁₃×#102	C₂³	1	1	yes	characteristic
330	C₁₃×#102	C₂³	1	1	yes	characteristic
331	C₁₃×#102	C₂³	1	1	yes	characteristic
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	#61073	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	C₂×D₄	1	1	yes	characteristic
346	C₁₃×#41	—	2	2	no	—
347	C₁₃×#41	—	2	2	no	—
348	C₁₃×#41	—	2	2	no	—
349	C₁₃×#41	—	2	2	no	—
350	C₁₃×#41	—	2	2	no	—
351	C₁₃×#41	—	2	4	no	—
352	C₁₃×#41	—	2	4	no	—
353	C₁₃×#41	—	2	4	no	—
354	C₁₃×#41	—	2	4	no	—
355	C₁₃×#41	—	2	2	no	—
356	C₁₃×#41	—	2	2	no	—
357	C₁₃×#41	—	2	2	no	—
358	C₁₃×#41	—	2	2	no	—
359	C₁₃×#41	—	4	4	no	—
360	C₁₃×#41	—	4	2	no	—
361	C₁₃×#41	—	4	1	no	—
362	C₁₃×#41	—	4	2	no	—
363	C₁₃×#41	—	4	1	no	—
364	C₁₃×#41	—	4	2	no	—
365	C₁₃×#41	—	4	2	no	—
366	C₁₃×#41	—	4	4	no	—
367	C₁₃×#41	—	4	4	no	—
368	C₁₃×#41	—	4	4	no	—
369	C₁₃×#41	—	4	4	no	—
370	C₁₃×#41	—	4	8	no	—
371	C₁₃×#41	—	4	4	no	—
372	C₁₃×#41	C₂×D₄	1	4	yes	—
373	C₂×Q₈×C₁₃	—	2	1	no	—
374	C₂×Q₈×C₁₃	—	2	2	no	—
375	C₂×Q₈×C₁₃	—	2	1	no	—
376	C₂×Q₈×C₁₃	—	2	1	no	—
377	C₂×Q₈×C₁₃	—	2	4	no	—
378	C₂×Q₈×C₁₃	—	2	2	no	—
379	C₂×Q₈×C₁₃	—	2	2	no	—
380	C₂×Q₈×C₁₃	—	2	2	no	—
381	C₂×Q₈×C₁₃	—	2	2	no	—
382	C₂×Q₈×C₁₃	—	2	2	no	—
383	C₂×Q₈×C₁₃	—	4	1	no	—
384	C₂×Q₈×C₁₃	—	4	2	no	—
385	C₂×Q₈×C₁₃	—	4	4	no	—
386	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
387	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
388	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
389	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂×D₄×C₁₃	—	2	1	no	—
393	C₂×D₄×C₁₃	—	2	4	no	—
394	C₂×D₄×C₁₃	—	2	2	no	—
395	C₂×D₄×C₁₃	—	2	2	no	—
396	C₂×D₄×C₁₃	—	2	2	no	—
397	C₂×D₄×C₁₃	—	2	2	no	—
398	C₂×D₄×C₁₃	—	2	1	no	—
399	C₂×D₄×C₁₃	—	2	2	no	—
400	C₂×D₄×C₁₃	—	2	1	no	—
401	C₂×D₄×C₁₃	—	2	1	no	—
402	C₂×D₄×C₁₃	—	2	1	no	—
403	C₂×D₄×C₁₃	—	2	1	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	1	no	—
409	C₂×D₄×C₁₃	—	2	2	no	—
410	C₂×D₄×C₁₃	—	4	1	no	—
411	C₂×D₄×C₁₃	—	4	2	no	—
412	C₂×D₄×C₁₃	—	4	4	no	—
413	C₂×D₄×C₁₃	—	4	4	no	—
414	C₂×D₄×C₁₃	—	4	8	no	—
415	C₂×D₄×C₁₃	—	4	4	no	—
416	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
417	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
418	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
419	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
420	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
421	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
423	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
424	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
425	C₂²×C₄×C₁₃	—	2	1	no	—
426	C₂²×C₄×C₁₃	—	2	2	no	—
427	C₂²×C₄×C₁₃	—	2	2	no	—
428	C₂²×C₄×C₁₃	—	2	1	no	—
429	C₂²×C₄×C₁₃	—	2	2	no	—
430	C₂²×C₄×C₁₃	—	2	1	no	—
431	C₂²×C₄×C₁₃	—	2	1	no	—
432	C₂²×C₄×C₁₃	—	2	1	no	—
433	C₂²×C₄×C₁₃	—	2	2	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	2	no	—
438	C₂²×C₄×C₁₃	—	2	1	no	—
439	C₂²×C₄×C₁₃	—	2	1	no	—
440	C₂²×C₄×C₁₃	—	2	1	no	—
441	C₂²×C₄×C₁₃	—	2	2	no	—
442	C₂²×C₄×C₁₃	—	2	2	no	—
443	C₂²×C₄×C₁₃	—	2	2	no	—
444	C₂²×C₄×C₁₃	—	4	4	no	—
445	C₂²×C₄×C₁₃	—	4	4	no	—
446	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
448	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
449	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
451	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₁₃×Q₁₆	—	2	4	no	—
454	C₁₃×Q₁₆	—	2	2	no	—
455	C₁₃×Q₁₆	—	2	4	no	—
456	C₁₃×Q₁₆	—	2	4	no	—
457	C₁₃×Q₁₆	—	4	2	no	—
458	C₁₃×Q₁₆	—	4	2	no	—
459	C₁₃×Q₁₆	—	4	1	no	—
460	C₁₃×SD₁₆	—	2	2	no	—
461	C₁₃×SD₁₆	—	2	4	no	—
462	C₁₃×SD₁₆	—	2	4	no	—
463	C₁₃×SD₁₆	—	2	2	no	—
464	C₁₃×SD₁₆	—	2	4	no	—
465	C₁₃×SD₁₆	—	2	4	no	—
466	C₁₃×SD₁₆	—	2	4	no	—
467	C₁₃×SD₁₆	—	2	4	no	—
468	C₁₃×SD₁₆	—	4	1	no	—
469	C₁₃×SD₁₆	—	4	1	no	—
470	C₁₃×SD₁₆	C₂×D₄	1	8	yes	—
471	C₁₃×D₈	—	2	4	no	—
472	C₁₃×D₈	—	2	2	no	—
473	C₁₃×D₈	—	4	1	no	—
474	C₁₃×D₈	C₂×D₄	1	8	yes	—
475	C₁₃×M₁₆	—	2	2	no	—
476	C₁₃×M₁₆	—	2	4	no	—
477	C₁₃×M₁₆	—	2	4	no	—
478	C₁₃×M₁₆	C₂×D₄	1	4	yes	—
479	C₂×C₈×C₁₃	—	2	2	no	—
480	C₂×C₈×C₁₃	—	2	2	no	—
481	C₂×C₈×C₁₃	—	2	4	no	—
482	C₂×C₈×C₁₃	—	2	4	no	—
483	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
484	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
485	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
486	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
487	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
488	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
489	C₁₃×C₄⋊C₄	—	2	2	no	—
490	C₁₃×C₄⋊C₄	—	2	1	no	—
491	C₁₃×C₄⋊C₄	—	2	1	no	—
492	C₁₃×C₄⋊C₄	—	2	1	no	—
493	C₁₃×C₄⋊C₄	—	2	2	no	—
494	C₁₃×C₄⋊C₄	—	2	2	no	—
495	C₁₃×C₄⋊C₄	—	2	2	no	—
496	C₁₃×C₄⋊C₄	—	2	2	no	—
497	C₁₃×C₄⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
503	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
504	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
505	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
506	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
507	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
508	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
509	C₁₃×C₂²⋊C₄	—	2	1	no	—
510	C₁₃×C₂²⋊C₄	—	2	2	no	—
511	C₁₃×C₂²⋊C₄	—	2	2	no	—
512	C₁₃×C₂²⋊C₄	—	2	2	no	—
513	C₁₃×C₂²⋊C₄	—	2	2	no	—
514	C₁₃×C₂²⋊C₄	—	2	1	no	—
515	C₁₃×C₂²⋊C₄	—	2	1	no	—
516	C₁₃×C₂²⋊C₄	—	2	2	no	—
517	C₁₃×C₂²⋊C₄	—	2	1	no	—
518	C₁₃×C₂²⋊C₄	—	2	1	no	—
519	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
528	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
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	C₄²×C₁₃	—	2	2	no	—
533	C₄²×C₁₃	—	2	1	no	—
534	C₄²×C₁₃	C₂⁴	1	2	yes	—
535	C₂×#577	C₂×C₁₃	1	1	yes	characteristic, complemented
536	C₂×#575	C₂×C₁₃	1	1	yes	characteristic, complemented
537	#3489	C₂×C₁₃	1	1	yes	characteristic, complemented
538	#3485	C₂×C₁₃	1	1	yes	characteristic, complemented
539	#3283	C₂×C₁₃	1	2	yes	complemented
540	#3282	C₂×C₁₃	1	2	yes	complemented
541	#3276	C₂×C₁₃	1	2	yes	complemented
542	#3273	C₂×C₁₃	1	2	yes	complemented
543	#3269	C₂×C₁₃	1	2	yes	complemented
544	#3267	C₂×C₁₃	1	2	yes	complemented
545	#3267	C₂×C₁₃	1	2	yes	complemented
546	#3266	C₂×C₁₃	1	2	yes	complemented
547	#3156	C₂×C₁₃	1	1	yes	characteristic, complemented
548	#3063	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#3056	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#3046	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#3042	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#3011	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
555	C₂×#452	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#2946	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#2933	C₂×C₁₃	1	1	yes	characteristic, complemented
558	C₂³×C₁₃	—	2	1	no	—
559	C₂³×C₁₃	—	2	2	no	—
560	C₂³×C₁₃	—	2	2	no	—
561	C₂³×C₁₃	—	2	4	no	—
562	C₂³×C₁₃	—	2	1	no	—
563	C₂³×C₁₃	—	2	1	no	—
564	C₂³×C₁₃	—	4	1	no	—
565	C₂³×C₁₃	—	4	1	no	—
566	C₂³×C₁₃	—	4	2	no	—
567	C₂³×C₁₃	—	4	4	no	—
568	C₂³×C₁₃	—	4	2	no	—
569	C₂³×C₁₃	—	8	1	no	—
570	C₂³×C₁₃	—	8	1	no	—
571	C₂³×C₁₃	—	8	1	no	—
572	C₂³×C₁₃	—	8	2	no	—
573	C₂³×C₁₃	—	8	2	no	—
574	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
575	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
576	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
577	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
578	Q₈×C₁₃	—	2	2	no	—
579	Q₈×C₁₃	—	2	1	no	—
580	Q₈×C₁₃	—	2	2	no	—
581	Q₈×C₁₃	—	2	1	no	—
582	Q₈×C₁₃	—	2	2	no	—
583	Q₈×C₁₃	—	2	1	no	—
584	Q₈×C₁₃	—	2	1	no	—
585	Q₈×C₁₃	—	2	1	no	—
586	Q₈×C₁₃	—	2	2	no	—
587	Q₈×C₁₃	—	2	2	no	—
588	Q₈×C₁₃	—	4	4	no	—
589	Q₈×C₁₃	—	4	2	no	—
590	Q₈×C₁₃	—	4	2	no	—
591	Q₈×C₁₃	—	4	2	no	—
592	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
593	D₄×C₁₃	—	2	4	no	—
594	D₄×C₁₃	—	2	4	no	—
595	D₄×C₁₃	—	2	4	no	—
596	D₄×C₁₃	—	2	2	no	—
597	D₄×C₁₃	—	2	1	no	—
598	D₄×C₁₃	—	2	1	no	—
599	D₄×C₁₃	—	2	2	no	—
600	D₄×C₁₃	—	2	1	no	—
601	D₄×C₁₃	—	2	1	no	—
602	D₄×C₁₃	—	2	1	no	—
603	D₄×C₁₃	—	4	2	no	—
604	D₄×C₁₃	—	4	2	no	—
605	D₄×C₁₃	—	4	4	no	—
606	D₄×C₁₃	—	4	2	no	—
607	D₄×C₁₃	—	4	2	no	—
608	D₄×C₁₃	—	4	4	no	—
609	D₄×C₁₃	—	4	4	no	—
610	D₄×C₁₃	—	4	2	no	—
611	D₄×C₁₃	—	4	4	no	—
612	D₄×C₁₃	—	4	4	no	—
613	D₄×C₁₃	—	4	2	no	—
614	D₄×C₁₃	—	4	2	no	—
615	D₄×C₁₃	—	8	2	no	—
616	D₄×C₁₃	—	8	1	no	—
617	D₄×C₁₃	—	8	1	no	—
618	D₄×C₁₃	C₂²×D₄	1	2	yes	—
619	D₄×C₁₃	C₂²×D₄	1	4	yes	—
620	C₂×C₄×C₁₃	—	2	2	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	2	no	—
623	C₂×C₄×C₁₃	—	2	2	no	—
624	C₂×C₄×C₁₃	—	2	4	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	2	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	2	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	2	no	—
634	C₂×C₄×C₁₃	—	2	2	no	—
635	C₂×C₄×C₁₃	—	2	2	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	4	2	no	—
639	C₂×C₄×C₁₃	—	4	2	no	—
640	C₂×C₄×C₁₃	—	4	2	no	—
641	C₂×C₄×C₁₃	—	4	4	no	—
642	C₂×C₄×C₁₃	—	4	4	no	—
643	C₂×C₄×C₁₃	—	4	4	no	—
644	C₂×C₄×C₁₃	—	4	4	no	—
645	C₂×C₄×C₁₃	—	4	4	no	—
646	C₂×C₄×C₁₃	—	4	2	no	—
647	C₂×C₄×C₁₃	—	4	2	no	—
648	C₂×C₄×C₁₃	—	4	2	no	—
649	C₂×C₄×C₁₃	—	4	2	no	—
650	C₂×C₄×C₁₃	—	8	2	no	—
651	C₂×C₄×C₁₃	—	8	2	no	—
652	C₂×C₄×C₁₃	—	8	2	no	—
653	C₂×C₄×C₁₃	—	8	1	no	—
654	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
655	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
656	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
657	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
658	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
659	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
660	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
661	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
662	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
663	C₈×C₁₃	—	2	1	no	—
664	C₈×C₁₃	—	2	1	no	—
665	C₈×C₁₃	—	2	2	no	—
666	C₈×C₁₃	—	2	1	no	—
667	C₈×C₁₃	—	2	1	no	—
668	C₈×C₁₃	C₂²×D₄	1	4	yes	—
669	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
670	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
671	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
672	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
673	#577	—	2	8	no	—
674	#575	—	2	8	no	—
675	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
676	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
678	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
679	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
680	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
681	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
682	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
683	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
684	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
685	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
686	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
687	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
688	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
689	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
691	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
692	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
693	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
694	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
695	#548	C₂²×C₁₃	1	2	yes	complemented
696	#547	—	2	2	no	—
697	#547	—	2	1	no	—
698	#547	—	2	1	no	—
699	#547	C₂²×C₁₃	1	2	yes	—
700	#547	C₂²×C₁₃	1	2	yes	complemented
701	#547	C₂²×C₁₃	1	2	yes	complemented
702	#546	—	2	1	no	—
703	#546	—	2	1	no	—
704	#546	—	2	2	no	—
705	#546	C₂²×C₁₃	1	2	yes	—
706	#546	C₂²×C₁₃	1	2	yes	complemented
707	#546	C₂²×C₁₃	1	2	yes	complemented
708	#537	—	2	1	no	—
709	#537	C₂²×C₁₃	1	1	yes	characteristic
710	#536	—	2	1	no	—
711	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
712	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#534	—	2	2	no	—
715	#525	—	2	1	no	—
716	#525	C₂²×C₁₃	1	1	yes	characteristic
717	#525	C₂²×C₁₃	1	1	yes	characteristic
718	C₂×#123	—	2	2	no	—
719	C₂×C₂²⋊Q₈	—	2	1	no	—
720	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
721	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
722	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	#497	C₂²×C₁₃	1	2	yes	complemented
724	#497	C₂²×C₁₃	1	2	yes	complemented
725	#495	C₂²×C₁₃	1	2	yes	complemented
726	#494	C₂²×C₁₃	1	2	yes	complemented
727	#470	C₂²×C₁₃	1	2	yes	complemented
728	#470	C₂²×C₁₃	1	2	yes	complemented
729	#468	C₂²×C₁₃	1	2	yes	complemented
730	#468	C₂²×C₁₃	1	2	yes	complemented
731	#467	C₂²×C₁₃	1	2	yes	complemented
732	#467	C₂²×C₁₃	1	2	yes	complemented
733	#465	C₂²×C₁₃	1	2	yes	complemented
734	#465	C₂²×C₁₃	1	2	yes	complemented
735	#464	C₂²×C₁₃	1	2	yes	complemented
736	#463	C₂²×C₁₃	1	2	yes	complemented
737	#463	C₂²×C₁₃	1	2	yes	complemented
738	#463	C₂²×C₁₃	1	2	yes	complemented
739	#462	C₂²×C₁₃	1	2	yes	complemented
740	#461	C₂²×C₁₃	1	2	yes	complemented
741	#461	C₂²×C₁₃	1	2	yes	complemented
742	#461	C₂²×C₁₃	1	2	yes	complemented
743	#452	C₂²×C₁₃	1	2	yes	complemented
744	#452	C₂²×C₁₃	1	2	yes	complemented
745	#452	C₂²×C₁₃	1	2	yes	complemented
746	#452	C₂²×C₁₃	1	2	yes	complemented
747	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
748	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
749	#452	C₂²×C₁₃	1	2	yes	complemented
750	#452	C₂²×C₁₃	1	2	yes	complemented
751	#452	C₂²×C₁₃	1	2	yes	complemented
752	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
753	#451	C₂²×C₁₃	1	2	yes	complemented
754	#451	C₂²×C₁₃	1	2	yes	complemented
755	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
756	#450	C₂²×C₁₃	1	2	yes	complemented
757	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
758	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	#449	C₂²×C₁₃	1	2	yes	complemented
760	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
761	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
762	#447	C₂²×C₁₃	1	2	yes	complemented
763	#442	C₂²×C₁₃	1	2	yes	complemented
764	#440	C₂²×C₁₃	1	2	yes	complemented
765	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
766	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
767	#436	C₂²×C₁₃	1	2	yes	complemented
768	#435	C₂²×C₁₃	1	2	yes	complemented
769	#435	C₂²×C₁₃	1	2	yes	complemented
770	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
771	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
772	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
773	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
774	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
775	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
776	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
777	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
778	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
779	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
780	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
781	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	C₂²×C₁₃	—	2	1	no	—
783	C₂²×C₁₃	—	2	1	no	—
784	C₂²×C₁₃	—	2	1	no	—
785	C₂²×C₁₃	—	2	2	no	—
786	C₂²×C₁₃	—	2	1	no	—
787	C₂²×C₁₃	—	2	1	no	—
788	C₂²×C₁₃	—	2	2	no	—
789	C₂²×C₁₃	—	2	1	no	—
790	C₂²×C₁₃	—	2	1	no	—
791	C₂²×C₁₃	—	2	1	no	—
792	C₂²×C₁₃	—	2	2	no	—
793	C₂²×C₁₃	—	2	2	no	—
794	C₂²×C₁₃	—	2	4	no	—
795	C₂²×C₁₃	—	4	1	no	—
796	C₂²×C₁₃	—	4	2	no	—
797	C₂²×C₁₃	—	4	2	no	—
798	C₂²×C₁₃	—	4	1	no	—
799	C₂²×C₁₃	—	4	1	no	—
800	C₂²×C₁₃	—	4	1	no	—
801	C₂²×C₁₃	—	4	1	no	—
802	C₂²×C₁₃	—	4	1	no	—
803	C₂²×C₁₃	—	4	1	no	—
804	C₂²×C₁₃	—	4	1	no	—
805	C₂²×C₁₃	—	8	2	no	—
806	C₂²×C₁₃	—	8	4	no	—
807	C₂²×C₁₃	—	8	4	no	—
808	C₂²×C₁₃	—	16	4	no	—
809	C₂²×C₁₃	D₄²	1	2	yes	—
810	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
811	C₄×C₁₃	—	2	2	no	—
812	C₄×C₁₃	—	2	2	no	—
813	C₄×C₁₃	—	2	1	no	—
814	C₄×C₁₃	—	2	1	no	—
815	C₄×C₁₃	—	2	2	no	—
816	C₄×C₁₃	—	2	2	no	—
817	C₄×C₁₃	—	4	1	no	—
818	C₄×C₁₃	—	4	2	no	—
819	C₄×C₁₃	—	4	1	no	—
820	C₄×C₁₃	—	4	1	no	—
821	C₄×C₁₃	—	4	2	no	—
822	C₄×C₁₃	—	4	1	no	—
823	C₄×C₁₃	—	4	2	no	—
824	C₄×C₁₃	D₄²	1	2	yes	—
825	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
826	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
827	2₋¹⁺⁴	—	2	4	no	—
828	2₋¹⁺⁴	—	4	2	no	—
829	H(5,𝔽₂)	—	2	4	no	—
830	H(5,𝔽₂)	—	4	2	no	—
831	C₂×#41	—	2	1	no	—
832	C₂×#41	—	2	1	no	—
833	C₂×#41	—	2	2	no	—
834	C₂×#41	—	2	1	no	—
835	C₂×#41	—	2	1	no	—
836	C₂×#41	—	2	1	no	—
837	C₂×#41	—	2	1	no	—
838	C₂×#41	—	2	4	no	—
839	C₂×#41	—	2	4	no	—
840	C₂×#41	—	4	2	no	—
841	C₂×#41	—	4	2	no	—
842	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
843	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
844	C₂×#41	C₂³×C₁₃	1	2	yes	—
845	C₂×#41	C₂³×C₁₃	1	2	yes	—
846	C₂×#41	C₂³×C₁₃	1	2	yes	—
847	C₂×#41	C₂³×C₁₃	1	2	yes	—
848	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
849	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
850	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
851	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
852	C₂²×Q₈	—	2	1	no	—
853	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
854	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
855	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
856	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
857	C₂²×D₄	—	2	1	no	—
858	C₂²×D₄	—	2	1	no	—
859	C₂²×D₄	—	2	2	no	—
860	C₂²×D₄	—	2	1	no	—
861	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
862	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
863	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
864	C₂³×C₄	—	2	1	no	—
865	C₂³×C₄	—	2	1	no	—
866	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
867	#137	—	2	4	no	—
868	#137	—	2	8	no	—
869	#137	—	2	8	no	—
870	#137	—	2	4	no	—
871	#137	—	2	4	no	—
872	AGL(1,ℤ/8)	—	2	4	no	—
873	AGL(1,ℤ/8)	—	2	8	no	—
874	AGL(1,ℤ/8)	—	2	8	no	—
875	AGL(1,ℤ/8)	D₄×C₁₃	1	8	yes	complemented
876	#135	—	2	4	no	—
877	#135	—	2	8	no	—
878	#135	—	2	8	no	—
879	#135	—	2	8	no	—
880	#135	—	4	2	no	—
881	C₂×Q₁₆	—	4	2	no	—
882	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
883	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
884	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
885	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
886	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
887	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
888	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
889	C₂×SD₁₆	—	2	4	no	—
890	C₂×SD₁₆	—	2	8	no	—
891	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
892	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
893	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
894	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
895	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
896	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
897	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
898	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
899	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
900	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
901	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
902	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
903	C₂×D₈	C₂³×C₁₃	1	2	yes	—
904	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
905	C₂×D₈	C₂³×C₁₃	1	2	yes	—
906	#131	—	2	4	no	—
907	C₂×M₁₆	—	2	4	no	—
908	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
909	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
910	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
911	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
912	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
913	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
914	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
915	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
916	C₄⋊Q₈	—	2	1	no	—
917	C₄⋊Q₈	—	2	2	no	—
918	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
919	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
920	#124	—	2	1	no	—
921	#124	—	2	2	no	—
922	#124	C₂³×C₁₃	1	2	yes	—
923	#124	C₂³×C₁₃	1	2	yes	—
924	#123	—	2	2	no	—
925	#123	—	2	1	no	—
926	#123	—	2	2	no	—
927	#123	—	2	2	no	—
928	#123	—	2	2	no	—
929	#123	—	2	2	no	—
930	#123	—	2	2	no	—
931	#123	—	2	2	no	—
932	#123	—	2	2	no	—
933	#123	—	2	2	no	—
934	#123	—	2	2	no	—
935	#123	—	2	2	no	—
936	#123	—	2	2	no	—
937	#123	D₄×C₁₃	1	2	yes	—
938	C₂²⋊Q₈	—	2	1	no	—
939	C₂²⋊Q₈	—	2	1	no	—
940	C₂²⋊Q₈	—	2	1	no	—
941	C₂²⋊Q₈	—	2	1	no	—
942	C₂²⋊Q₈	—	2	2	no	—
943	C₂²⋊Q₈	—	2	1	no	—
944	C₂²⋊Q₈	—	2	1	no	—
945	C₂²⋊Q₈	—	2	1	no	—
946	C₂²⋊Q₈	—	2	2	no	—
947	C₂²⋊Q₈	—	2	2	no	—
948	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
949	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
950	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
951	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
952	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
953	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
954	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
955	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
956	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
957	#121	—	2	1	no	—
958	#121	—	2	2	no	—
959	#121	—	2	2	no	—
960	#121	—	2	2	no	—
961	#121	—	2	2	no	—
962	#121	—	2	2	no	—
963	#121	—	2	2	no	—
964	#121	—	2	2	no	—
965	#121	—	2	2	no	—
966	#121	D₄×C₁₃	1	1	yes	characteristic
967	#121	D₄×C₁₃	1	1	yes	characteristic
968	#121	C₂³×C₁₃	1	1	yes	characteristic
969	#121	C₂³×C₁₃	1	1	yes	characteristic
970	#121	C₂³×C₁₃	1	2	yes	—
971	#120	—	2	1	no	—
972	#120	—	2	2	no	—
973	#120	—	2	2	no	—
974	#120	—	2	2	no	—
975	#120	D₄×C₁₃	1	2	yes	—
976	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
977	C₄×D₄	—	2	2	no	—
978	C₄×D₄	—	2	1	no	—
979	C₄×D₄	—	2	1	no	—
980	C₄×D₄	—	2	1	no	—
981	C₄×D₄	—	2	1	no	—
982	C₄×D₄	—	2	2	no	—
983	C₄×D₄	—	2	2	no	—
984	C₄×D₄	C₂³×C₁₃	1	2	yes	—
985	C₄×D₄	C₂³×C₁₃	1	2	yes	—
986	C₄×D₄	C₂³×C₁₃	1	2	yes	—
987	C₄×D₄	C₂³×C₁₃	1	2	yes	—
988	C₄×D₄	C₂³×C₁₃	1	2	yes	—
989	#117	—	2	1	no	—
990	#117	C₂³×C₁₃	1	1	yes	characteristic
991	#117	C₂³×C₁₃	1	1	yes	characteristic
992	C₂×C₄⋊C₄	—	2	1	no	—
993	C₂×C₄⋊C₄	—	2	1	no	—
994	C₂×C₄⋊C₄	—	2	2	no	—
995	C₂×C₄⋊C₄	—	2	2	no	—
996	C₂×C₄⋊C₄	—	2	2	no	—
997	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	—	2	1	no	—
999	C₂×C₂²⋊C₄	—	2	2	no	—
1000	C₂×C₂²⋊C₄	—	2	2	no	—
1001	C₂×C₂²⋊C₄	—	2	2	no	—
1002	C₂×C₂²⋊C₄	—	2	2	no	—
1003	#107	C₂³×C₁₃	1	2	yes	—
1004	#106	C₂³×C₁₃	1	2	yes	—
1005	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1006	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1007	#103	C₂³×C₁₃	1	2	yes	—
1008	#103	C₂³×C₁₃	1	2	yes	—
1009	#103	C₂³×C₁₃	1	1	yes	characteristic
1010	#103	C₂³×C₁₃	1	1	yes	characteristic
1011	#103	C₂³×C₁₃	1	1	yes	characteristic
1012	#103	C₂³×C₁₃	1	1	yes	characteristic
1013	#103	C₂³×C₁₃	1	2	yes	—
1014	#103	C₂³×C₁₃	1	2	yes	—
1015	#103	C₂³×C₁₃	1	2	yes	—
1016	#102	C₂³×C₁₃	1	2	yes	—
1017	#102	C₂³×C₁₃	1	2	yes	—
1018	#102	C₂³×C₁₃	1	1	yes	characteristic
1019	#102	C₂³×C₁₃	1	1	yes	characteristic
1020	#102	C₂³×C₁₃	1	1	yes	characteristic
1021	#102	C₂³×C₁₃	1	1	yes	characteristic
1022	#102	C₂³×C₁₃	1	2	yes	—
1023	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1024	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1025	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1026	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1028	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1029	#97	C₂³×C₁₃	1	2	yes	—
1030	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1031	C₂×C₁₃	—	2	2	no	—
1032	C₂×C₁₃	—	4	1	no	—
1033	C₂×C₁₃	—	4	1	no	—
1034	C₂×C₁₃	—	4	2	no	—
1035	C₂×C₁₃	—	4	2	no	—
1036	C₂×C₁₃	—	4	4	no	—
1037	C₂×C₁₃	—	8	1	no	—
1038	C₂×C₁₃	—	8	1	no	—
1039	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1040	C₂×C₁₃	#3584	1	1	yes	characteristic
1041	C₂×C₁₃	#3586	1	1	yes	characteristic
1042	C₂⁴	—	2	1	no	—
1043	C₂⁴	—	2	1	no	—
1044	C₂⁴	—	2	2	no	—
1045	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1046	#41	—	2	2	no	—
1047	#41	—	2	2	no	—
1048	#41	—	2	2	no	—
1049	#41	—	2	2	no	—
1050	#41	—	2	2	no	—
1051	#41	—	2	4	no	—
1052	#41	—	2	4	no	—
1053	#41	—	2	4	no	—
1054	#41	—	2	4	no	—
1055	#41	—	2	2	no	—
1056	#41	—	2	2	no	—
1057	#41	—	2	2	no	—
1058	#41	—	2	2	no	—
1059	#41	—	4	4	no	—
1060	#41	—	4	2	no	—
1061	#41	—	4	1	no	—
1062	#41	—	4	2	no	—
1063	#41	—	4	1	no	—
1064	#41	—	4	2	no	—
1065	#41	—	4	2	no	—
1066	#41	—	4	4	no	—
1067	#41	—	4	4	no	—
1068	#41	—	4	4	no	—
1069	#41	—	4	4	no	—
1070	#41	—	4	8	no	—
1071	#41	—	4	4	no	—
1072	#41	C₂×D₄×C₁₃	1	4	yes	—
1073	C₂×Q₈	—	2	1	no	—
1074	C₂×Q₈	—	2	2	no	—
1075	C₂×Q₈	—	2	1	no	—
1076	C₂×Q₈	—	2	1	no	—
1077	C₂×Q₈	—	2	4	no	—
1078	C₂×Q₈	—	2	2	no	—
1079	C₂×Q₈	—	2	2	no	—
1080	C₂×Q₈	—	2	2	no	—
1081	C₂×Q₈	—	2	2	no	—
1082	C₂×Q₈	—	2	2	no	—
1083	C₂×Q₈	—	4	1	no	—
1084	C₂×Q₈	—	4	2	no	—
1085	C₂×Q₈	—	4	4	no	—
1086	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1087	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1088	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1089	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1090	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1091	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1092	C₂×D₄	—	2	1	no	—
1093	C₂×D₄	—	2	4	no	—
1094	C₂×D₄	—	2	2	no	—
1095	C₂×D₄	—	2	2	no	—
1096	C₂×D₄	—	2	2	no	—
1097	C₂×D₄	—	2	2	no	—
1098	C₂×D₄	—	2	1	no	—
1099	C₂×D₄	—	2	2	no	—
1100	C₂×D₄	—	2	1	no	—
1101	C₂×D₄	—	2	1	no	—
1102	C₂×D₄	—	2	1	no	—
1103	C₂×D₄	—	2	1	no	—
1104	C₂×D₄	—	2	1	no	—
1105	C₂×D₄	—	2	2	no	—
1106	C₂×D₄	—	2	1	no	—
1107	C₂×D₄	—	2	2	no	—
1108	C₂×D₄	—	2	1	no	—
1109	C₂×D₄	—	2	2	no	—
1110	C₂×D₄	—	4	1	no	—
1111	C₂×D₄	—	4	2	no	—
1112	C₂×D₄	—	4	4	no	—
1113	C₂×D₄	—	4	4	no	—
1114	C₂×D₄	—	4	8	no	—
1115	C₂×D₄	—	4	4	no	—
1116	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1117	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1118	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
1119	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1120	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1121	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1122	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1123	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1124	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1125	C₂²×C₄	—	2	1	no	—
1126	C₂²×C₄	—	2	2	no	—
1127	C₂²×C₄	—	2	2	no	—
1128	C₂²×C₄	—	2	1	no	—
1129	C₂²×C₄	—	2	2	no	—
1130	C₂²×C₄	—	2	1	no	—
1131	C₂²×C₄	—	2	1	no	—
1132	C₂²×C₄	—	2	1	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	2	no	—
1136	C₂²×C₄	—	2	1	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	1	no	—
1139	C₂²×C₄	—	2	1	no	—
1140	C₂²×C₄	—	2	1	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	2	2	no	—
1144	C₂²×C₄	—	4	4	no	—
1145	C₂²×C₄	—	4	4	no	—
1146	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1151	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1153	Q₁₆	—	2	4	no	—
1154	Q₁₆	—	2	2	no	—
1155	Q₁₆	—	2	4	no	—
1156	Q₁₆	—	2	4	no	—
1157	Q₁₆	—	4	2	no	—
1158	Q₁₆	—	4	2	no	—
1159	Q₁₆	—	4	1	no	—
1160	SD₁₆	—	2	2	no	—
1161	SD₁₆	—	2	4	no	—
1162	SD₁₆	—	2	4	no	—
1163	SD₁₆	—	2	2	no	—
1164	SD₁₆	—	2	4	no	—
1165	SD₁₆	—	2	4	no	—
1166	SD₁₆	—	2	4	no	—
1167	SD₁₆	—	2	4	no	—
1168	SD₁₆	—	4	1	no	—
1169	SD₁₆	—	4	1	no	—
1170	SD₁₆	C₂×D₄×C₁₃	1	8	yes	—
1171	D₈	—	2	4	no	—
1172	D₈	—	2	2	no	—
1173	D₈	—	4	1	no	—
1174	D₈	C₂×D₄×C₁₃	1	8	yes	—
1175	M₁₆	—	2	2	no	—
1176	M₁₆	—	2	4	no	—
1177	M₁₆	—	2	4	no	—
1178	M₁₆	C₂×D₄×C₁₃	1	4	yes	—
1179	C₂×C₈	—	2	2	no	—
1180	C₂×C₈	—	2	2	no	—
1181	C₂×C₈	—	2	4	no	—
1182	C₂×C₈	—	2	4	no	—
1183	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1184	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1185	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1186	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1187	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1188	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1189	C₄⋊C₄	—	2	2	no	—
1190	C₄⋊C₄	—	2	1	no	—
1191	C₄⋊C₄	—	2	1	no	—
1192	C₄⋊C₄	—	2	1	no	—
1193	C₄⋊C₄	—	2	2	no	—
1194	C₄⋊C₄	—	2	2	no	—
1195	C₄⋊C₄	—	2	2	no	—
1196	C₄⋊C₄	—	2	2	no	—
1197	C₄⋊C₄	—	2	2	no	—
1198	C₄⋊C₄	—	2	2	no	—
1199	C₄⋊C₄	—	2	2	no	—
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	—	2	2	no	—
1202	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1203	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1204	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1205	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1206	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1207	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1208	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1209	C₂²⋊C₄	—	2	1	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	2	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	1	no	—
1215	C₂²⋊C₄	—	2	1	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	1	no	—
1218	C₂²⋊C₄	—	2	1	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	2	2	no	—
1225	C₂²⋊C₄	—	2	2	no	—
1226	C₂²⋊C₄	—	2	2	no	—
1227	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1228	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1229	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1230	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1231	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1232	C₄²	—	2	2	no	—
1233	C₄²	—	2	1	no	—
1234	C₄²	C₂⁴×C₁₃	1	2	yes	—
1235	C₁₃	#61073	1	1	yes	characteristic, direct product factor, Sylow
1236	C₂³	—	2	1	no	—
1237	C₂³	—	2	2	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	4	no	—
1240	C₂³	—	2	1	no	—
1241	C₂³	—	2	1	no	—
1242	C₂³	—	4	1	no	—
1243	C₂³	—	4	1	no	—
1244	C₂³	—	4	2	no	—
1245	C₂³	—	4	4	no	—
1246	C₂³	—	4	2	no	—
1247	C₂³	—	8	1	no	—
1248	C₂³	—	8	1	no	—
1249	C₂³	—	8	1	no	—
1250	C₂³	—	8	2	no	—
1251	C₂³	—	8	2	no	—
1252	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1253	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1254	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1255	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1256	Q₈	—	2	2	no	—
1257	Q₈	—	2	1	no	—
1258	Q₈	—	2	2	no	—
1259	Q₈	—	2	1	no	—
1260	Q₈	—	2	2	no	—
1261	Q₈	—	2	1	no	—
1262	Q₈	—	2	1	no	—
1263	Q₈	—	2	1	no	—
1264	Q₈	—	2	2	no	—
1265	Q₈	—	2	2	no	—
1266	Q₈	—	4	4	no	—
1267	Q₈	—	4	2	no	—
1268	Q₈	—	4	2	no	—
1269	Q₈	—	4	2	no	—
1270	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1271	D₄	—	2	4	no	—
1272	D₄	—	2	4	no	—
1273	D₄	—	2	4	no	—
1274	D₄	—	2	2	no	—
1275	D₄	—	2	1	no	—
1276	D₄	—	2	1	no	—
1277	D₄	—	2	2	no	—
1278	D₄	—	2	1	no	—
1279	D₄	—	2	1	no	—
1280	D₄	—	2	1	no	—
1281	D₄	—	4	2	no	—
1282	D₄	—	4	2	no	—
1283	D₄	—	4	4	no	—
1284	D₄	—	4	2	no	—
1285	D₄	—	4	2	no	—
1286	D₄	—	4	4	no	—
1287	D₄	—	4	4	no	—
1288	D₄	—	4	2	no	—
1289	D₄	—	4	4	no	—
1290	D₄	—	4	4	no	—
1291	D₄	—	4	2	no	—
1292	D₄	—	4	2	no	—
1293	D₄	—	8	2	no	—
1294	D₄	—	8	1	no	—
1295	D₄	—	8	1	no	—
1296	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1297	D₄	C₂²×D₄×C₁₃	1	4	yes	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	2	no	—
1302	C₂×C₄	—	2	4	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	2	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	4	2	no	—
1317	C₂×C₄	—	4	2	no	—
1318	C₂×C₄	—	4	2	no	—
1319	C₂×C₄	—	4	4	no	—
1320	C₂×C₄	—	4	4	no	—
1321	C₂×C₄	—	4	4	no	—
1322	C₂×C₄	—	4	4	no	—
1323	C₂×C₄	—	4	4	no	—
1324	C₂×C₄	—	4	2	no	—
1325	C₂×C₄	—	4	2	no	—
1326	C₂×C₄	—	4	2	no	—
1327	C₂×C₄	—	4	2	no	—
1328	C₂×C₄	—	8	2	no	—
1329	C₂×C₄	—	8	2	no	—
1330	C₂×C₄	—	8	2	no	—
1331	C₂×C₄	—	8	1	no	—
1332	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1333	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1334	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1335	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1336	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1337	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1338	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1339	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1340	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1341	C₈	—	2	1	no	—
1342	C₈	—	2	1	no	—
1343	C₈	—	2	2	no	—
1344	C₈	—	2	1	no	—
1345	C₈	—	2	1	no	—
1346	C₈	C₂²×D₄×C₁₃	1	4	yes	—
1347	C₂²	—	2	1	no	—
1348	C₂²	—	2	1	no	—
1349	C₂²	—	2	1	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	1	no	—
1352	C₂²	—	2	1	no	—
1353	C₂²	—	2	2	no	—
1354	C₂²	—	2	1	no	—
1355	C₂²	—	2	1	no	—
1356	C₂²	—	2	1	no	—
1357	C₂²	—	2	2	no	—
1358	C₂²	—	2	2	no	—
1359	C₂²	—	2	4	no	—
1360	C₂²	—	4	1	no	—
1361	C₂²	—	4	2	no	—
1362	C₂²	—	4	2	no	—
1363	C₂²	—	4	1	no	—
1364	C₂²	—	4	1	no	—
1365	C₂²	—	4	1	no	—
1366	C₂²	—	4	1	no	—
1367	C₂²	—	4	1	no	—
1368	C₂²	—	4	1	no	—
1369	C₂²	—	4	1	no	—
1370	C₂²	—	8	2	no	—
1371	C₂²	—	8	4	no	—
1372	C₂²	—	8	4	no	—
1373	C₂²	—	16	4	no	—
1374	C₂²	D₄²×C₁₃	1	2	yes	—
1375	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1376	C₄	—	2	2	no	—
1377	C₄	—	2	2	no	—
1378	C₄	—	2	1	no	—
1379	C₄	—	2	1	no	—
1380	C₄	—	2	2	no	—
1381	C₄	—	2	2	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	2	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	2	no	—
1387	C₄	—	4	1	no	—
1388	C₄	—	4	2	no	—
1389	C₄	D₄²×C₁₃	1	2	yes	—
1390	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1391	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1392	C₂	—	2	2	no	—
1393	C₂	—	4	1	no	—
1394	C₂	—	4	1	no	—
1395	C₂	—	4	2	no	—
1396	C₂	—	4	4	no	—
1397	C₂	—	4	2	no	—
1398	C₂	—	8	1	no	—
1399	C₂	—	8	1	no	—
1400	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1401	C₂	C₁₃×#3584	1	1	yes	characteristic
1402	C₂	C₁₃×#3586	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#577	C₂	semidirect
2. C₂×C₁₃×#575	C₂	semidirect
3. C₁₃×#3489	C₂	semidirect
4. C₁₃×#3485	C₂	semidirect
5. C₁₃×#3283	C₂	semidirect
6. C₁₃×#3282	C₂	semidirect
7. C₁₃×#3276	C₂	semidirect
8. C₁₃×#3273	C₂	semidirect
9. C₁₃×#3269	C₂	semidirect
10. C₁₃×#3267	C₂	semidirect
11. C₁₃×#3267	C₂	semidirect
12. C₁₃×#3266	C₂	semidirect
13. C₁₃×#3156	C₂	semidirect
14. C₁₃×#3063	C₂	semidirect
15. C₁₃×#3056	C₂	semidirect
16. C₁₃×#3046	C₂	semidirect
17. C₁₃×#3042	C₂	semidirect
18. C₁₃×#3012	C₂	semidirect
19. C₁₃×#3011	C₂	semidirect
20. C₁₃×#3002	C₂	semidirect
21. C₂×C₁₃×#452	C₂	semidirect
22. C₁₃×#2946	C₂	semidirect
23. C₁₃×#2933	C₂	semidirect
25. C₂×C₁₃×H(5,𝔽₂)	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
33. C₂×C₁₃×#137	C₂²	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
37. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
41. C₂×C₁₃×#135	C₂²	semidirect
42. C₂×C₁₃×#135	C₂²	semidirect
43. C₂×C₁₃×#135	C₂²	semidirect
44. C₂²×C₁₃×Q₁₆	C₂²	semidirect
45. C₂²×C₁₃×SD₁₆	C₂²	semidirect
46. C₂²×C₁₃×SD₁₆	C₂²	semidirect
47. C₂×C₁₃×#131	C₂²	semidirect
48. C₂²×C₁₃×M₁₆	C₂²	semidirect
49. D₄×Q₈×C₁₃	C₂²	semidirect
50. C₁₃×#548	C₂²	semidirect
55. C₁₃×#547	C₂²	semidirect
56. C₁₃×#547	C₂²	semidirect
61. C₁₃×#546	C₂²	semidirect
62. C₁₃×#546	C₂²	semidirect
66. C₁₃×#536	C₂²	semidirect
67. C₁₃×#536	C₂²	semidirect
68. C₁₃×#536	C₂²	semidirect
75. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
76. C₁₃×#520	C₂²	semidirect
77. C₁₃×#518	C₂²	semidirect
78. C₁₃×#497	C₂²	semidirect
79. C₁₃×#497	C₂²	semidirect
80. C₁₃×#495	C₂²	semidirect
81. C₁₃×#494	C₂²	semidirect
82. C₁₃×#470	C₂²	semidirect
83. C₁₃×#470	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
86. C₁₃×#467	C₂²	semidirect
87. C₁₃×#467	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×#461	C₂²	semidirect
97. C₁₃×#461	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×#452	C₂²	semidirect
104. C₁₃×#452	C₂²	semidirect
105. C₁₃×#452	C₂²	semidirect
106. C₁₃×#452	C₂²	semidirect
107. C₁₃×#451	C₂²	semidirect
108. C₁₃×#451	C₂²	semidirect
109. C₁₃×#451	C₂²	semidirect
110. C₁₃×#450	C₂²	semidirect
111. C₁₃×#450	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×#419	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
185. C₁₃×AGL(1,ℤ/8)	D₄	semidirect
341. #61073	C₁₃	direct (N × H)
535. C₂×#577	C₂×C₁₃	semidirect
536. C₂×#575	C₂×C₁₃	semidirect
537. #3489	C₂×C₁₃	semidirect
538. #3485	C₂×C₁₃	semidirect
539. #3283	C₂×C₁₃	semidirect
540. #3282	C₂×C₁₃	semidirect
541. #3276	C₂×C₁₃	semidirect
542. #3273	C₂×C₁₃	semidirect
543. #3269	C₂×C₁₃	semidirect
544. #3267	C₂×C₁₃	semidirect
545. #3267	C₂×C₁₃	semidirect
546. #3266	C₂×C₁₃	semidirect
547. #3156	C₂×C₁₃	semidirect
548. #3063	C₂×C₁₃	semidirect
549. #3056	C₂×C₁₃	semidirect
550. #3046	C₂×C₁₃	semidirect
551. #3042	C₂×C₁₃	semidirect
552. #3012	C₂×C₁₃	semidirect
553. #3011	C₂×C₁₃	semidirect
554. #3002	C₂×C₁₃	semidirect
555. C₂×#452	C₂×C₁₃	semidirect
556. #2946	C₂×C₁₃	semidirect
557. #2933	C₂×C₁₃	semidirect
670. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
672. C₂²×#41	C₂²×C₁₃	semidirect
675. C₂×#137	C₂²×C₁₃	semidirect
676. C₂×#137	C₂²×C₁₃	semidirect
677. C₂×#137	C₂²×C₁₃	semidirect
678. C₂×#137	C₂²×C₁₃	semidirect
679. C₂×#137	C₂²×C₁₃	semidirect
682. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
683. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
686. C₂×#135	C₂²×C₁₃	semidirect
687. C₂×#135	C₂²×C₁₃	semidirect
688. C₂×#135	C₂²×C₁₃	semidirect
689. C₂²×Q₁₆	C₂²×C₁₃	semidirect
690. C₂²×SD₁₆	C₂²×C₁₃	semidirect
691. C₂²×SD₁₆	C₂²×C₁₃	semidirect
692. C₂×#131	C₂²×C₁₃	semidirect
693. C₂²×M₁₆	C₂²×C₁₃	semidirect
694. D₄×Q₈	C₂²×C₁₃	semidirect
695. #548	C₂²×C₁₃	semidirect
700. #547	C₂²×C₁₃	semidirect
701. #547	C₂²×C₁₃	semidirect
706. #546	C₂²×C₁₃	semidirect
707. #546	C₂²×C₁₃	semidirect
711. #536	C₂²×C₁₃	semidirect
712. #536	C₂²×C₁₃	semidirect
713. #536	C₂²×C₁₃	semidirect
720. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
721. #520	C₂²×C₁₃	semidirect
722. #518	C₂²×C₁₃	semidirect
723. #497	C₂²×C₁₃	semidirect
724. #497	C₂²×C₁₃	semidirect
725. #495	C₂²×C₁₃	semidirect
726. #494	C₂²×C₁₃	semidirect
727. #470	C₂²×C₁₃	semidirect
728. #470	C₂²×C₁₃	semidirect
729. #468	C₂²×C₁₃	semidirect
730. #468	C₂²×C₁₃	semidirect
731. #467	C₂²×C₁₃	semidirect
732. #467	C₂²×C₁₃	semidirect
733. #465	C₂²×C₁₃	semidirect
734. #465	C₂²×C₁₃	semidirect
735. #464	C₂²×C₁₃	semidirect
736. #463	C₂²×C₁₃	semidirect
737. #463	C₂²×C₁₃	semidirect
738. #463	C₂²×C₁₃	semidirect
739. #462	C₂²×C₁₃	semidirect
740. #461	C₂²×C₁₃	semidirect
741. #461	C₂²×C₁₃	semidirect
742. #461	C₂²×C₁₃	semidirect
743. #452	C₂²×C₁₃	semidirect
744. #452	C₂²×C₁₃	semidirect
745. #452	C₂²×C₁₃	semidirect
746. #452	C₂²×C₁₃	semidirect
747. #452	C₂²×C₁₃	semidirect
748. #452	C₂²×C₁₃	semidirect
749. #452	C₂²×C₁₃	semidirect
750. #452	C₂²×C₁₃	semidirect
751. #452	C₂²×C₁₃	semidirect
752. #451	C₂²×C₁₃	semidirect
753. #451	C₂²×C₁₃	semidirect
754. #451	C₂²×C₁₃	semidirect
755. #450	C₂²×C₁₃	semidirect
756. #450	C₂²×C₁₃	semidirect
757. #449	C₂²×C₁₃	semidirect
758. #449	C₂²×C₁₃	semidirect
759. #449	C₂²×C₁₃	semidirect
760. #448	C₂²×C₁₃	semidirect
761. #447	C₂²×C₁₃	semidirect
762. #447	C₂²×C₁₃	semidirect
763. #442	C₂²×C₁₃	semidirect
764. #440	C₂²×C₁₃	semidirect
765. C₄×SD₁₆	C₂²×C₁₃	semidirect
766. C₄×D₈	C₂²×C₁₃	semidirect
767. #436	C₂²×C₁₃	semidirect
768. #435	C₂²×C₁₃	semidirect
769. #435	C₂²×C₁₃	semidirect
770. C₈×D₄	C₂²×C₁₃	semidirect
771. #428	C₂²×C₁₃	semidirect
772. #424	C₂²×C₁₃	semidirect
773. #419	C₂²×C₁₃	semidirect
774. #417	C₂²×C₁₃	semidirect
775. #416	C₂²×C₁₃	semidirect
776. #416	C₂²×C₁₃	semidirect
777. C₂×#103	C₂²×C₁₃	semidirect
778. C₂×#102	C₂²×C₁₃	semidirect
779. #408	C₂²×C₁₃	semidirect
780. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
781. #405	C₂²×C₁₃	semidirect
875. AGL(1,ℤ/8)	D₄×C₁₃	semidirect
1235. C₁₃	#61073	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×#577	2
C₂×C₁₃×#575	2
C₁₃×#3489	2
C₁₃×#3485	2
C₁₃×#3283	2
C₁₃×#3282	2
C₁₃×#3276	2
C₁₃×#3273	2
C₁₃×#3269	2
C₁₃×#3267	2
C₁₃×#3266	2
C₁₃×#3156	2
C₁₃×#3063	2
C₁₃×#3056	2
C₁₃×#3046	2
C₁₃×#3042	2
C₁₃×#3012	2
C₁₃×#3011	2
C₁₃×#3002	2
C₂×C₁₃×#452	2
C₁₃×#2946	2
C₁₃×#2933	2
#61073	13

Subgroups — C13×#61073 #15747412

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61073 #15747412