Subgroups — C₁₃×#61967 #15748306

Order 3328.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3402	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3327	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3321	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3275	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×#3255	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3251	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3248	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3216	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3110	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3039	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3036	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2989	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	—
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
26	C₂×C₁₃×#135	C₂²	1	2	yes	—
27	C₁₃×#556	C₂²	1	1	yes	characteristic
28	C₁₃×#556	C₂²	1	2	yes	complemented
29	C₁₃×#555	—	2	1	no	—
30	C₁₃×#555	C₂²	1	1	yes	characteristic
31	C₁₃×#554	—	2	1	no	—
32	C₁₃×#554	C₂²	1	1	yes	characteristic
33	C₁₃×#553	—	2	1	no	—
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#553	—	2	1	no	—
36	C₁₃×#552	—	2	1	no	—
37	C₁₃×#552	C₂²	1	1	yes	characteristic
38	C₁₃×#552	C₂²	1	1	yes	characteristic
39	C₁₃×#551	—	2	1	no	—
40	C₁₃×#551	—	2	1	no	—
41	C₁₃×#548	C₂²	1	2	yes	—
42	C₁₃×#548	C₂²	1	2	yes	complemented
43	C₁₃×#547	C₂²	1	2	yes	—
44	C₁₃×#547	C₂²	1	1	yes	characteristic
45	C₁₃×#546	C₂²	1	1	yes	characteristic
46	C₁₃×#546	C₂²	1	1	yes	characteristic
47	C₁₃×#542	—	2	1	no	—
48	C₁₃×#542	—	2	1	no	—
49	C₁₃×#537	—	2	1	no	—
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#533	C₂²	1	1	yes	characteristic
52	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#529	—	2	1	no	—
58	C₁₃×#529	—	2	1	no	—
59	C₁₃×#529	C₂²	1	1	yes	characteristic
60	C₁₃×#529	C₂²	1	1	yes	characteristic
61	C₁₃×#525	—	2	1	no	—
62	C₁₃×#520	—	2	1	no	—
63	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
64	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
65	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
66	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
67	C₂×C₁₃×#117	—	2	1	no	—
68	C₁₃×#497	C₂²	1	2	yes	—
69	C₁₃×#497	C₂²	1	2	yes	complemented
70	C₁₃×#495	C₂²	1	2	yes	—
71	C₁₃×#491	C₂²	1	2	yes	complemented
72	C₁₃×#489	C₂²	1	2	yes	complemented
73	C₁₃×#488	C₂²	1	2	yes	complemented
74	C₁₃×#485	C₂²	1	2	yes	complemented
75	C₁₃×#484	C₂²	1	2	yes	—
76	C₁₃×#482	C₂²	1	2	yes	complemented
77	C₁₃×#479	C₂²	1	2	yes	complemented
78	C₁₃×#478	C₂²	1	2	yes	complemented
79	C₁₃×#475	C₂²	1	2	yes	complemented
80	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#474	C₂²	1	1	yes	characteristic
83	C₁₃×#474	C₂²	1	1	yes	characteristic
84	C₁₃×#470	C₂²	1	2	yes	—
85	C₁₃×#470	C₂²	1	2	yes	—
86	C₁₃×#469	C₂²	1	2	yes	—
87	C₁₃×#468	C₂²	1	2	yes	complemented
88	C₁₃×#467	C₂²	1	2	yes	complemented
89	C₁₃×#465	C₂²	1	2	yes	—
90	C₁₃×#464	C₂²	1	2	yes	—
91	C₁₃×#464	C₂²	1	2	yes	complemented
92	C₁₃×#463	C₂²	1	2	yes	—
93	C₁₃×#463	C₂²	1	2	yes	—
94	C₁₃×#463	C₂²	1	2	yes	—
95	C₁₃×#463	C₂²	1	2	yes	—
96	C₁₃×#462	C₂²	1	2	yes	complemented
97	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#462	C₂²	1	2	yes	complemented
99	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#461	C₂²	1	2	yes	—
103	C₁₃×#461	C₂²	1	1	yes	characteristic
104	C₁₃×#461	C₂²	1	1	yes	characteristic
105	C₁₃×#461	C₂²	1	1	yes	characteristic
106	C₁₃×#461	C₂²	1	1	yes	characteristic
107	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#459	C₂²	1	1	yes	characteristic
110	C₁₃×#459	C₂²	1	1	yes	characteristic
111	C₁₃×#452	C₂²	1	2	yes	—
112	C₁₃×#452	C₂²	1	2	yes	—
113	C₁₃×#452	C₂²	1	2	yes	—
114	C₁₃×#452	C₂²	1	2	yes	complemented
115	C₁₃×#451	C₂²	1	2	yes	complemented
116	C₁₃×#450	C₂²	1	2	yes	—
117	C₁₃×#449	C₂²	1	2	yes	—
118	C₁₃×#449	C₂²	1	2	yes	—
119	C₁₃×#448	C₂²	1	2	yes	—
120	C₁₃×#446	C₂²	1	2	yes	complemented
121	C₁₃×#442	C₂²	1	2	yes	—
122	C₁₃×#440	C₂²	1	2	yes	—
123	C₁₃×#440	C₂²	1	2	yes	—
124	C₁₃×#440	C₂²	1	2	yes	complemented
125	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
126	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
127	C₁₃×#436	C₂²	1	2	yes	—
128	C₁₃×#435	C₂²	1	2	yes	—
129	C₁₃×#435	C₂²	1	2	yes	complemented
130	C₁₃×#432	C₂²	1	1	yes	characteristic
131	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#423	C₂²	1	1	yes	characteristic
134	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#419	C₂²	1	2	yes	complemented
137	C₁₃×#417	C₂²	1	2	yes	—
138	C₁₃×#416	C₂²	1	2	yes	complemented
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂×C₁₃×#41	C₂³	1	2	yes	—
145	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
146	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃	—	2	1	no	—
148	C₁₃×#137	—	4	4	no	—
149	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
150	C₁₃×#135	—	4	4	no	—
151	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
161	C₂×C₁₃×D₈	C₂³	1	2	yes	—
162	C₂×C₁₃×D₈	C₂³	1	2	yes	—
163	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
164	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
165	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	—	2	1	no	—
167	C₁₃×C₄⋊Q₈	—	2	1	no	—
168	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
171	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
172	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
173	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
174	C₁₃×#127	C₂³	1	1	yes	characteristic
175	C₁₃×#126	—	2	1	no	—
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#126	—	2	2	no	—
178	C₁₃×#126	—	2	2	no	—
179	C₁₃×#126	—	2	1	no	—
180	C₁₃×#126	—	2	1	no	—
181	C₁₃×#126	—	2	1	no	—
182	C₁₃×#126	—	2	1	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	—	2	1	no	—
185	C₁₃×#125	—	2	1	no	—
186	C₁₃×#125	—	2	1	no	—
187	C₁₃×#125	—	2	1	no	—
188	C₁₃×#125	C₂³	1	1	yes	characteristic
189	C₁₃×#125	C₂³	1	1	yes	characteristic
190	C₁₃×#124	—	2	1	no	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	—	2	2	no	—
193	C₁₃×#124	—	2	2	no	—
194	C₁₃×#124	—	2	1	no	—
195	C₁₃×#124	C₂³	1	2	yes	—
196	C₁₃×#124	C₂³	1	1	yes	characteristic
197	C₁₃×#124	C₂³	1	2	yes	—
198	C₁₃×#124	C₂³	1	1	yes	characteristic
199	C₁₃×#123	—	2	1	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	1	no	—
203	C₁₃×#123	—	2	1	no	—
204	C₁₃×#123	—	2	1	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×#123	—	2	2	no	—
208	C₁₃×#123	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	—	2	1	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	no	—
212	C₁₃×C₂²⋊Q₈	—	2	1	no	—
213	C₁₃×C₂²⋊Q₈	—	2	1	no	—
214	C₁₃×C₂²⋊Q₈	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	—	2	1	no	—
217	C₁₃×C₂²⋊Q₈	—	2	2	no	—
218	C₁₃×C₂²⋊Q₈	—	2	2	no	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	2	no	—
228	C₁₃×#121	—	2	2	no	—
229	C₁₃×#121	—	2	2	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	1	no	—
236	C₁₃×#121	—	2	1	no	—
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#121	C₂³	1	2	yes	—
240	C₁₃×#120	—	2	1	no	—
241	C₁₃×#120	—	2	1	no	—
242	C₄×Q₈×C₁₃	—	2	1	no	—
243	C₄×Q₈×C₁₃	—	2	1	no	—
244	C₄×Q₈×C₁₃	—	2	1	no	—
245	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
246	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	—	2	1	no	—
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	—	2	1	no	—
259	C₄×D₄×C₁₃	—	2	2	no	—
260	C₄×D₄×C₁₃	—	2	2	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	—	2	1	no	—
268	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
269	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
270	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
271	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
272	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
274	C₄×D₄×C₁₃	C₂³	1	2	yes	—
275	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
276	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
277	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
278	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₁₃×#117	—	2	1	no	—
282	C₁₃×#117	—	2	1	no	—
283	C₁₃×#117	—	2	1	no	—
284	C₁₃×#117	—	2	1	no	—
285	C₁₃×#117	—	2	1	no	—
286	C₁₃×#117	—	2	2	no	—
287	C₁₃×#117	—	2	1	no	—
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	1	no	—
290	C₁₃×#117	—	2	1	no	—
291	C₁₃×#117	—	2	1	no	—
292	C₁₃×#117	—	2	1	no	—
293	C₁₃×#117	D₄	1	1	yes	characteristic
294	C₁₃×#117	D₄	1	1	yes	characteristic
295	C₁₃×#117	D₄	1	1	yes	characteristic
296	C₁₃×#117	C₂³	1	1	yes	characteristic
297	C₁₃×#117	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
301	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
302	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
303	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
305	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
306	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₄²×C₁₃	—	2	1	no	—
308	C₂×C₄²×C₁₃	—	2	1	no	—
309	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
312	C₁₃×#107	C₂³	1	2	yes	—
313	C₁₃×#107	C₂³	1	2	yes	—
314	C₁₃×#106	C₂³	1	2	yes	—
315	C₁₃×#106	C₂³	1	2	yes	—
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
319	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
321	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
322	C₁₃×C₄⋊C₈	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×#103	C₂³	1	2	yes	—
327	C₁₃×#103	C₂³	1	2	yes	—
328	C₁₃×#103	C₂³	1	2	yes	—
329	C₁₃×#103	C₂³	1	2	yes	—
330	C₁₃×#103	C₂³	1	2	yes	—
331	C₁₃×#103	C₂³	1	2	yes	—
332	C₁₃×#103	C₂³	1	2	yes	—
333	C₁₃×#102	C₂³	1	2	yes	—
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×#102	C₂³	1	2	yes	—
336	C₁₃×#102	C₂³	1	2	yes	—
337	C₁₃×#102	C₂³	1	2	yes	—
338	C₁₃×#102	C₂³	1	2	yes	—
339	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
340	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
341	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
342	C₁₃×#97	C₂³	1	2	yes	—
343	C₁₃×#97	C₂³	1	2	yes	—
344	C₄×C₈×C₁₃	C₂³	1	2	yes	—
345	#61967	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
346	C₂⁴×C₁₃	—	2	1	no	—
347	C₁₃×#41	—	2	2	no	—
348	C₁₃×#41	—	2	2	no	—
349	C₁₃×#41	—	4	2	no	—
350	C₁₃×#41	—	4	1	no	—
351	C₁₃×#41	—	4	1	no	—
352	C₁₃×#41	—	4	4	no	—
353	C₁₃×#41	—	4	2	no	—
354	C₁₃×#41	—	4	2	no	—
355	C₁₃×#41	—	4	2	no	—
356	C₁₃×#41	—	4	2	no	—
357	C₂×Q₈×C₁₃	—	2	1	no	—
358	C₂×Q₈×C₁₃	—	2	1	no	—
359	C₂×Q₈×C₁₃	—	2	2	no	—
360	C₂×Q₈×C₁₃	—	4	2	no	—
361	C₂×Q₈×C₁₃	—	4	2	no	—
362	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
363	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
364	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
365	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂×D₄×C₁₃	—	2	2	no	—
368	C₂×D₄×C₁₃	—	2	1	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	2	no	—
371	C₂×D₄×C₁₃	—	2	1	no	—
372	C₂×D₄×C₁₃	—	2	1	no	—
373	C₂×D₄×C₁₃	—	2	2	no	—
374	C₂×D₄×C₁₃	—	2	2	no	—
375	C₂×D₄×C₁₃	—	2	1	no	—
376	C₂×D₄×C₁₃	—	2	1	no	—
377	C₂×D₄×C₁₃	—	2	1	no	—
378	C₂×D₄×C₁₃	—	4	1	no	—
379	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
380	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
381	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
382	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
383	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	—	2	1	no	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	—	2	1	no	—
388	C₂²×C₄×C₁₃	—	2	1	no	—
389	C₂²×C₄×C₁₃	—	2	1	no	—
390	C₂²×C₄×C₁₃	—	2	1	no	—
391	C₂²×C₄×C₁₃	—	2	2	no	—
392	C₂²×C₄×C₁₃	—	2	1	no	—
393	C₂²×C₄×C₁₃	—	2	1	no	—
394	C₂²×C₄×C₁₃	—	2	1	no	—
395	C₂²×C₄×C₁₃	—	2	1	no	—
396	C₂²×C₄×C₁₃	—	2	2	no	—
397	C₂²×C₄×C₁₃	—	2	2	no	—
398	C₂²×C₄×C₁₃	—	4	4	no	—
399	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₁₃×Q₁₆	—	4	2	no	—
409	C₁₃×Q₁₆	—	4	2	no	—
410	C₁₃×Q₁₆	—	4	2	no	—
411	C₁₃×Q₁₆	—	4	2	no	—
412	C₁₃×SD₁₆	—	2	4	no	—
413	C₁₃×SD₁₆	—	2	4	no	—
414	C₁₃×SD₁₆	—	4	2	no	—
415	C₁₃×SD₁₆	—	4	2	no	—
416	C₁₃×SD₁₆	—	4	2	no	—
417	C₁₃×SD₁₆	—	4	2	no	—
418	C₁₃×D₈	—	2	4	no	—
419	C₁₃×D₈	—	4	2	no	—
420	C₁₃×M₁₆	—	4	2	no	—
421	C₁₃×M₁₆	—	4	2	no	—
422	C₂×C₈×C₁₃	—	4	2	no	—
423	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
424	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
425	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
426	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
427	C₁₃×C₄⋊C₄	—	2	2	no	—
428	C₁₃×C₄⋊C₄	—	2	1	no	—
429	C₁₃×C₄⋊C₄	—	2	1	no	—
430	C₁₃×C₄⋊C₄	—	2	1	no	—
431	C₁₃×C₄⋊C₄	—	2	1	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	1	no	—
434	C₁₃×C₄⋊C₄	—	2	1	no	—
435	C₁₃×C₄⋊C₄	—	2	1	no	—
436	C₁₃×C₄⋊C₄	—	2	1	no	—
437	C₁₃×C₄⋊C₄	—	2	1	no	—
438	C₁₃×C₄⋊C₄	—	2	2	no	—
439	C₁₃×C₄⋊C₄	—	2	2	no	—
440	C₁₃×C₄⋊C₄	—	2	2	no	—
441	C₁₃×C₄⋊C₄	—	2	1	no	—
442	C₁₃×C₄⋊C₄	—	2	1	no	—
443	C₁₃×C₄⋊C₄	—	2	1	no	—
444	C₁₃×C₄⋊C₄	—	2	1	no	—
445	C₁₃×C₄⋊C₄	—	2	1	no	—
446	C₁₃×C₄⋊C₄	—	2	1	no	—
447	C₁₃×C₄⋊C₄	—	2	1	no	—
448	C₁₃×C₄⋊C₄	—	2	1	no	—
449	C₁₃×C₄⋊C₄	—	2	1	no	—
450	C₁₃×C₄⋊C₄	—	2	1	no	—
451	C₁₃×C₄⋊C₄	—	2	1	no	—
452	C₁₃×C₄⋊C₄	—	2	2	no	—
453	C₁₃×C₄⋊C₄	—	2	2	no	—
454	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
455	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
456	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
457	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
458	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
459	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
460	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
461	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
462	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
463	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
464	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
465	C₁₃×C₂²⋊C₄	—	2	1	no	—
466	C₁₃×C₂²⋊C₄	—	2	1	no	—
467	C₁₃×C₂²⋊C₄	—	2	2	no	—
468	C₁₃×C₂²⋊C₄	—	2	2	no	—
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	—	2	1	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	1	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	1	no	—
475	C₁₃×C₂²⋊C₄	—	2	1	no	—
476	C₁₃×C₂²⋊C₄	—	2	1	no	—
477	C₁₃×C₂²⋊C₄	—	2	1	no	—
478	C₁₃×C₂²⋊C₄	—	2	1	no	—
479	C₁₃×C₂²⋊C₄	—	2	1	no	—
480	C₁₃×C₂²⋊C₄	—	2	1	no	—
481	C₁₃×C₂²⋊C₄	—	2	2	no	—
482	C₁₃×C₂²⋊C₄	—	2	2	no	—
483	C₁₃×C₂²⋊C₄	—	2	1	no	—
484	C₁₃×C₂²⋊C₄	—	2	1	no	—
485	C₁₃×C₂²⋊C₄	—	2	1	no	—
486	C₁₃×C₂²⋊C₄	—	2	1	no	—
487	C₁₃×C₂²⋊C₄	—	2	2	no	—
488	C₁₃×C₂²⋊C₄	—	2	2	no	—
489	C₁₃×C₂²⋊C₄	—	2	2	no	—
490	C₁₃×C₂²⋊C₄	—	2	2	no	—
491	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
492	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
493	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
494	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
495	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
496	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
497	C₄²×C₁₃	—	2	1	no	—
498	C₄²×C₁₃	—	2	1	no	—
499	C₄²×C₁₃	—	2	1	no	—
500	C₄²×C₁₃	—	2	1	no	—
501	C₄²×C₁₃	—	2	1	no	—
502	C₄²×C₁₃	—	2	1	no	—
503	C₄²×C₁₃	—	2	2	no	—
504	C₄²×C₁₃	—	2	2	no	—
505	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
506	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
507	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
509	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
510	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
511	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
515	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3475	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3402	C₂×C₁₃	1	2	yes	complemented
518	#3376	C₂×C₁₃	1	2	yes	complemented
519	#3327	C₂×C₁₃	1	2	yes	complemented
520	#3321	C₂×C₁₃	1	2	yes	complemented
521	#3315	C₂×C₁₃	1	2	yes	complemented
522	#3275	C₂×C₁₃	1	2	yes	complemented
523	#3269	C₂×C₁₃	1	2	yes	complemented
524	#3267	C₂×C₁₃	1	2	yes	complemented
525	#3255	C₂×C₁₃	1	1	yes	characteristic, complemented
526	#3251	C₂×C₁₃	1	1	yes	characteristic, complemented
527	#3248	C₂×C₁₃	1	1	yes	characteristic, complemented
528	#3218	C₂×C₁₃	1	1	yes	characteristic, complemented
529	#3216	C₂×C₁₃	1	1	yes	characteristic, complemented
530	#3212	C₂×C₁₃	1	1	yes	characteristic, complemented
531	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
532	#3110	C₂×C₁₃	1	1	yes	characteristic, complemented
533	#3107	C₂×C₁₃	1	1	yes	characteristic, complemented
534	#3039	C₂×C₁₃	1	1	yes	characteristic, complemented
535	#3036	C₂×C₁₃	1	1	yes	characteristic, complemented
536	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
537	#2989	C₂×C₁₃	1	1	yes	characteristic, complemented
538	C₂³×C₁₃	—	2	1	no	—
539	C₂³×C₁₃	—	2	1	no	—
540	C₂³×C₁₃	—	2	2	no	—
541	C₂³×C₁₃	—	4	2	no	—
542	C₂³×C₁₃	—	4	2	no	—
543	C₂³×C₁₃	—	8	1	no	—
544	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
546	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
547	Q₈×C₁₃	—	2	2	no	—
548	Q₈×C₁₃	—	2	2	no	—
549	Q₈×C₁₃	—	2	1	no	—
550	Q₈×C₁₃	—	2	1	no	—
551	Q₈×C₁₃	—	2	1	no	—
552	Q₈×C₁₃	—	2	2	no	—
553	Q₈×C₁₃	—	2	1	no	—
554	Q₈×C₁₃	—	2	2	no	—
555	Q₈×C₁₃	—	4	1	no	—
556	Q₈×C₁₃	—	4	2	no	—
557	Q₈×C₁₃	—	8	1	no	—
558	Q₈×C₁₃	—	8	2	no	—
559	D₄×C₁₃	—	2	2	no	—
560	D₄×C₁₃	—	2	1	no	—
561	D₄×C₁₃	—	2	1	no	—
562	D₄×C₁₃	—	2	1	no	—
563	D₄×C₁₃	—	2	2	no	—
564	D₄×C₁₃	—	4	1	no	—
565	D₄×C₁₃	—	4	1	no	—
566	D₄×C₁₃	—	4	1	no	—
567	D₄×C₁₃	—	4	2	no	—
568	D₄×C₁₃	—	4	2	no	—
569	D₄×C₁₃	—	4	2	no	—
570	D₄×C₁₃	—	4	2	no	—
571	D₄×C₁₃	—	4	4	no	—
572	D₄×C₁₃	—	4	2	no	—
573	D₄×C₁₃	—	8	1	no	—
574	D₄×C₁₃	—	8	1	no	—
575	D₄×C₁₃	—	8	2	no	—
576	D₄×C₁₃	—	8	2	no	—
577	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
578	C₂×C₄×C₁₃	—	2	2	no	—
579	C₂×C₄×C₁₃	—	2	2	no	—
580	C₂×C₄×C₁₃	—	2	2	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	2	1	no	—
591	C₂×C₄×C₁₃	—	2	1	no	—
592	C₂×C₄×C₁₃	—	2	2	no	—
593	C₂×C₄×C₁₃	—	2	2	no	—
594	C₂×C₄×C₁₃	—	2	2	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	4	1	no	—
597	C₂×C₄×C₁₃	—	4	1	no	—
598	C₂×C₄×C₁₃	—	4	1	no	—
599	C₂×C₄×C₁₃	—	4	2	no	—
600	C₂×C₄×C₁₃	—	4	2	no	—
601	C₂×C₄×C₁₃	—	4	2	no	—
602	C₂×C₄×C₁₃	—	4	2	no	—
603	C₂×C₄×C₁₃	—	4	4	no	—
604	C₂×C₄×C₁₃	—	4	2	no	—
605	C₂×C₄×C₁₃	—	4	2	no	—
606	C₂×C₄×C₁₃	—	4	2	no	—
607	C₂×C₄×C₁₃	—	8	1	no	—
608	C₂×C₄×C₁₃	—	8	1	no	—
609	C₂×C₄×C₁₃	—	8	2	no	—
610	C₂×C₄×C₁₃	—	8	2	no	—
611	C₂×C₄×C₁₃	—	8	2	no	—
612	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
613	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
614	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
615	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
616	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
617	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
618	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
619	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
620	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
621	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
622	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
623	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
624	C₈×C₁₃	—	2	2	no	—
625	C₈×C₁₃	—	2	2	no	—
626	C₈×C₁₃	—	2	2	no	—
627	C₈×C₁₃	—	2	2	no	—
628	C₂×#137	C₂²×C₁₃	1	2	yes	—
629	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
630	C₂×#135	C₂²×C₁₃	1	2	yes	—
631	#556	C₂²×C₁₃	1	1	yes	characteristic
632	#556	C₂²×C₁₃	1	2	yes	complemented
633	#555	—	2	1	no	—
634	#555	C₂²×C₁₃	1	1	yes	characteristic
635	#554	—	2	1	no	—
636	#554	C₂²×C₁₃	1	1	yes	characteristic
637	#553	—	2	1	no	—
638	#553	—	2	1	no	—
639	#553	—	2	1	no	—
640	#552	—	2	1	no	—
641	#552	C₂²×C₁₃	1	1	yes	characteristic
642	#552	C₂²×C₁₃	1	1	yes	characteristic
643	#551	—	2	1	no	—
644	#551	—	2	1	no	—
645	#548	C₂²×C₁₃	1	2	yes	—
646	#548	C₂²×C₁₃	1	2	yes	complemented
647	#547	C₂²×C₁₃	1	1	yes	characteristic
648	#547	C₂²×C₁₃	1	2	yes	—
649	#546	C₂²×C₁₃	1	1	yes	characteristic
650	#546	C₂²×C₁₃	1	1	yes	characteristic
651	#542	—	2	1	no	—
652	#542	—	2	1	no	—
653	#537	—	2	1	no	—
654	#533	C₂²×C₁₃	1	1	yes	characteristic
655	#533	C₂²×C₁₃	1	1	yes	characteristic
656	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	#532	C₂²×C₁₃	1	1	yes	characteristic
658	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#529	—	2	1	no	—
662	#529	—	2	1	no	—
663	#529	C₂²×C₁₃	1	1	yes	characteristic
664	#529	C₂²×C₁₃	1	1	yes	characteristic
665	#525	—	2	1	no	—
666	#520	—	2	1	no	—
667	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
668	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
669	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
670	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
671	C₂×#117	—	2	1	no	—
672	#497	C₂²×C₁₃	1	2	yes	—
673	#497	C₂²×C₁₃	1	2	yes	complemented
674	#495	C₂²×C₁₃	1	2	yes	—
675	#491	C₂²×C₁₃	1	2	yes	complemented
676	#489	C₂²×C₁₃	1	2	yes	complemented
677	#488	C₂²×C₁₃	1	2	yes	complemented
678	#485	C₂²×C₁₃	1	2	yes	complemented
679	#484	C₂²×C₁₃	1	2	yes	—
680	#482	C₂²×C₁₃	1	2	yes	complemented
681	#479	C₂²×C₁₃	1	2	yes	complemented
682	#478	C₂²×C₁₃	1	2	yes	complemented
683	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
685	#475	C₂²×C₁₃	1	2	yes	complemented
686	#474	C₂²×C₁₃	1	1	yes	characteristic
687	#474	C₂²×C₁₃	1	1	yes	characteristic
688	#470	C₂²×C₁₃	1	2	yes	—
689	#470	C₂²×C₁₃	1	2	yes	—
690	#469	C₂²×C₁₃	1	2	yes	—
691	#468	C₂²×C₁₃	1	2	yes	complemented
692	#467	C₂²×C₁₃	1	2	yes	complemented
693	#465	C₂²×C₁₃	1	2	yes	—
694	#464	C₂²×C₁₃	1	2	yes	—
695	#464	C₂²×C₁₃	1	2	yes	complemented
696	#463	C₂²×C₁₃	1	2	yes	—
697	#463	C₂²×C₁₃	1	2	yes	—
698	#463	C₂²×C₁₃	1	2	yes	—
699	#463	C₂²×C₁₃	1	2	yes	—
700	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	#462	C₂²×C₁₃	1	2	yes	complemented
702	#462	C₂²×C₁₃	1	2	yes	complemented
703	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
704	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
705	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
706	#461	C₂²×C₁₃	1	1	yes	characteristic
707	#461	C₂²×C₁₃	1	1	yes	characteristic
708	#461	C₂²×C₁₃	1	1	yes	characteristic
709	#461	C₂²×C₁₃	1	2	yes	—
710	#461	C₂²×C₁₃	1	1	yes	characteristic
711	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
712	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	#459	C₂²×C₁₃	1	1	yes	characteristic
714	#459	C₂²×C₁₃	1	1	yes	characteristic
715	#452	C₂²×C₁₃	1	2	yes	—
716	#452	C₂²×C₁₃	1	2	yes	—
717	#452	C₂²×C₁₃	1	2	yes	—
718	#452	C₂²×C₁₃	1	2	yes	complemented
719	#451	C₂²×C₁₃	1	2	yes	complemented
720	#450	C₂²×C₁₃	1	2	yes	—
721	#449	C₂²×C₁₃	1	2	yes	—
722	#449	C₂²×C₁₃	1	2	yes	—
723	#448	C₂²×C₁₃	1	2	yes	—
724	#446	C₂²×C₁₃	1	2	yes	complemented
725	#442	C₂²×C₁₃	1	2	yes	—
726	#440	C₂²×C₁₃	1	2	yes	—
727	#440	C₂²×C₁₃	1	2	yes	—
728	#440	C₂²×C₁₃	1	2	yes	complemented
729	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
730	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
731	#436	C₂²×C₁₃	1	2	yes	—
732	#435	C₂²×C₁₃	1	2	yes	—
733	#435	C₂²×C₁₃	1	2	yes	complemented
734	#432	C₂²×C₁₃	1	1	yes	characteristic
735	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
736	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	#423	C₂²×C₁₃	1	1	yes	characteristic
738	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
739	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
740	#419	C₂²×C₁₃	1	2	yes	complemented
741	#417	C₂²×C₁₃	1	2	yes	—
742	#416	C₂²×C₁₃	1	2	yes	complemented
743	C₂²×C₁₃	—	2	1	no	—
744	C₂²×C₁₃	—	2	1	no	—
745	C₂²×C₁₃	—	2	1	no	—
746	C₂²×C₁₃	—	2	1	no	—
747	C₂²×C₁₃	—	2	1	no	—
748	C₂²×C₁₃	—	2	1	no	—
749	C₂²×C₁₃	—	2	2	no	—
750	C₂²×C₁₃	—	2	1	no	—
751	C₂²×C₁₃	—	2	1	no	—
752	C₂²×C₁₃	—	2	1	no	—
753	C₂²×C₁₃	—	4	1	no	—
754	C₂²×C₁₃	—	4	1	no	—
755	C₂²×C₁₃	—	4	2	no	—
756	C₂²×C₁₃	—	4	1	no	—
757	C₂²×C₁₃	—	4	2	no	—
758	C₂²×C₁₃	—	4	1	no	—
759	C₂²×C₁₃	—	4	1	no	—
760	C₂²×C₁₃	—	4	2	no	—
761	C₂²×C₁₃	—	8	4	no	—
762	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
763	C₄×C₁₃	—	2	1	no	—
764	C₄×C₁₃	—	2	1	no	—
765	C₄×C₁₃	—	2	1	no	—
766	C₄×C₁₃	—	2	1	no	—
767	C₄×C₁₃	—	2	1	no	—
768	C₄×C₁₃	—	2	1	no	—
769	C₄×C₁₃	—	2	1	no	—
770	C₄×C₁₃	—	2	1	no	—
771	C₄×C₁₃	—	2	1	no	—
772	C₄×C₁₃	—	2	1	no	—
773	C₄×C₁₃	—	4	1	no	—
774	C₄×C₁₃	—	4	1	no	—
775	C₄×C₁₃	—	4	1	no	—
776	C₄×C₁₃	—	4	1	no	—
777	C₄×C₁₃	—	4	2	no	—
778	C₄×C₁₃	—	4	2	no	—
779	C₄×C₁₃	—	4	1	no	—
780	C₄×C₁₃	—	4	1	no	—
781	C₄×C₁₃	—	4	2	no	—
782	C₄×C₁₃	#575	1	2	yes	—
783	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
784	C₄×C₁₃	#585	1	1	yes	characteristic
785	C₂×#41	—	2	1	no	—
786	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
787	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
788	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
789	C₂×#41	C₂³×C₁₃	1	2	yes	—
790	C₂×#41	C₂³×C₁₃	1	2	yes	—
791	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
792	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
793	C₂³×C₄	—	2	1	no	—
794	#137	—	4	4	no	—
795	AGL(1,ℤ/8)	—	4	4	no	—
796	#135	—	4	4	no	—
797	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
798	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
799	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
800	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
801	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
802	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
803	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
804	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
805	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
806	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
807	C₂×D₈	C₂³×C₁₃	1	2	yes	—
808	C₂×D₈	C₂³×C₁₃	1	2	yes	—
809	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
810	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
811	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
812	C₄⋊Q₈	—	2	1	no	—
813	C₄⋊Q₈	—	2	1	no	—
814	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
815	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
816	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
817	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
818	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
819	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
820	#127	C₂³×C₁₃	1	1	yes	characteristic
821	#126	—	2	1	no	—
822	#126	—	2	1	no	—
823	#126	—	2	2	no	—
824	#126	—	2	2	no	—
825	#126	—	2	1	no	—
826	#126	—	2	1	no	—
827	#126	—	2	1	no	—
828	#126	—	2	1	no	—
829	#125	—	2	1	no	—
830	#125	—	2	1	no	—
831	#125	—	2	1	no	—
832	#125	—	2	1	no	—
833	#125	—	2	1	no	—
834	#125	C₂³×C₁₃	1	1	yes	characteristic
835	#125	C₂³×C₁₃	1	1	yes	characteristic
836	#124	—	2	1	no	—
837	#124	—	2	1	no	—
838	#124	—	2	2	no	—
839	#124	—	2	2	no	—
840	#124	—	2	1	no	—
841	#124	C₂³×C₁₃	1	1	yes	characteristic
842	#124	C₂³×C₁₃	1	1	yes	characteristic
843	#124	C₂³×C₁₃	1	2	yes	—
844	#124	C₂³×C₁₃	1	2	yes	—
845	#123	—	2	1	no	—
846	#123	—	2	1	no	—
847	#123	—	2	1	no	—
848	#123	—	2	1	no	—
849	#123	—	2	1	no	—
850	#123	—	2	1	no	—
851	#123	—	2	1	no	—
852	#123	—	2	1	no	—
853	#123	—	2	2	no	—
854	#123	—	2	2	no	—
855	C₂²⋊Q₈	—	2	1	no	—
856	C₂²⋊Q₈	—	2	1	no	—
857	C₂²⋊Q₈	—	2	2	no	—
858	C₂²⋊Q₈	—	2	1	no	—
859	C₂²⋊Q₈	—	2	1	no	—
860	C₂²⋊Q₈	—	2	1	no	—
861	C₂²⋊Q₈	—	2	1	no	—
862	C₂²⋊Q₈	—	2	1	no	—
863	C₂²⋊Q₈	—	2	2	no	—
864	C₂²⋊Q₈	—	2	2	no	—
865	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
866	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
867	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
868	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
869	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
870	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
871	#121	—	2	1	no	—
872	#121	—	2	1	no	—
873	#121	—	2	2	no	—
874	#121	—	2	2	no	—
875	#121	—	2	2	no	—
876	#121	—	2	1	no	—
877	#121	—	2	1	no	—
878	#121	—	2	1	no	—
879	#121	—	2	1	no	—
880	#121	—	2	1	no	—
881	#121	—	2	1	no	—
882	#121	—	2	1	no	—
883	#121	C₂³×C₁₃	1	1	yes	characteristic
884	#121	C₂³×C₁₃	1	1	yes	characteristic
885	#121	C₂³×C₁₃	1	2	yes	—
886	#120	—	2	1	no	—
887	#120	—	2	1	no	—
888	C₄×Q₈	—	2	1	no	—
889	C₄×Q₈	—	2	1	no	—
890	C₄×Q₈	—	2	1	no	—
891	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
892	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
893	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
894	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
895	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
896	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
897	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
898	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
899	C₄×D₄	—	2	1	no	—
900	C₄×D₄	—	2	1	no	—
901	C₄×D₄	—	2	1	no	—
902	C₄×D₄	—	2	1	no	—
903	C₄×D₄	—	2	1	no	—
904	C₄×D₄	—	2	1	no	—
905	C₄×D₄	—	2	2	no	—
906	C₄×D₄	—	2	2	no	—
907	C₄×D₄	—	2	1	no	—
908	C₄×D₄	—	2	1	no	—
909	C₄×D₄	—	2	1	no	—
910	C₄×D₄	—	2	1	no	—
911	C₄×D₄	—	2	1	no	—
912	C₄×D₄	—	2	1	no	—
913	C₄×D₄	—	2	1	no	—
914	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
915	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
916	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
917	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
918	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
919	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
920	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
921	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
922	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
923	C₄×D₄	C₂³×C₁₃	1	2	yes	—
924	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
925	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
926	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
927	#117	—	2	1	no	—
928	#117	—	2	1	no	—
929	#117	—	2	1	no	—
930	#117	—	2	1	no	—
931	#117	—	2	1	no	—
932	#117	—	2	2	no	—
933	#117	—	2	1	no	—
934	#117	—	2	1	no	—
935	#117	—	2	1	no	—
936	#117	—	2	1	no	—
937	#117	—	2	1	no	—
938	#117	—	2	1	no	—
939	#117	D₄×C₁₃	1	1	yes	characteristic
940	#117	D₄×C₁₃	1	1	yes	characteristic
941	#117	D₄×C₁₃	1	1	yes	characteristic
942	#117	C₂³×C₁₃	1	1	yes	characteristic
943	#117	C₂³×C₁₃	1	1	yes	characteristic
944	C₂×C₄⋊C₄	—	2	1	no	—
945	C₂×C₄⋊C₄	—	2	1	no	—
946	C₂×C₄⋊C₄	—	2	1	no	—
947	C₂×C₄⋊C₄	—	2	1	no	—
948	C₂×C₄⋊C₄	—	2	2	no	—
949	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
950	C₂×C₂²⋊C₄	—	2	1	no	—
951	C₂×C₂²⋊C₄	—	2	1	no	—
952	C₂×C₂²⋊C₄	—	2	1	no	—
953	C₂×C₄²	—	2	1	no	—
954	C₂×C₄²	—	2	1	no	—
955	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
956	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
957	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
958	#107	C₂³×C₁₃	1	2	yes	—
959	#107	C₂³×C₁₃	1	2	yes	—
960	#106	C₂³×C₁₃	1	2	yes	—
961	#106	C₂³×C₁₃	1	2	yes	—
962	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
963	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
964	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
965	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
966	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
967	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
968	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
969	#103	C₂³×C₁₃	1	2	yes	—
970	#103	C₂³×C₁₃	1	2	yes	—
971	#103	C₂³×C₁₃	1	2	yes	—
972	#103	C₂³×C₁₃	1	2	yes	—
973	#103	C₂³×C₁₃	1	2	yes	—
974	#103	C₂³×C₁₃	1	2	yes	—
975	#103	C₂³×C₁₃	1	2	yes	—
976	#103	C₂³×C₁₃	1	2	yes	—
977	#103	C₂³×C₁₃	1	2	yes	—
978	#103	C₂³×C₁₃	1	2	yes	—
979	#102	C₂³×C₁₃	1	2	yes	—
980	#102	C₂³×C₁₃	1	2	yes	—
981	#102	C₂³×C₁₃	1	2	yes	—
982	#102	C₂³×C₁₃	1	2	yes	—
983	#102	C₂³×C₁₃	1	2	yes	—
984	#102	C₂³×C₁₃	1	2	yes	—
985	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
986	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
987	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
988	#97	C₂³×C₁₃	1	2	yes	—
989	#97	C₂³×C₁₃	1	2	yes	—
990	C₄×C₈	C₂³×C₁₃	1	2	yes	—
991	C₂×C₁₃	—	4	1	no	—
992	C₂×C₁₃	—	4	1	no	—
993	C₂×C₁₃	—	4	1	no	—
994	C₂×C₁₃	—	4	2	no	—
995	C₂×C₁₃	—	8	2	no	—
996	C₂×C₁₃	—	8	1	no	—
997	C₂×C₁₃	#3488	1	1	yes	characteristic
998	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
999	C₂×C₁₃	#3586	1	1	yes	characteristic
1000	C₂⁴	—	2	1	no	—
1001	#41	—	2	2	no	—
1002	#41	—	2	2	no	—
1003	#41	—	4	2	no	—
1004	#41	—	4	1	no	—
1005	#41	—	4	1	no	—
1006	#41	—	4	4	no	—
1007	#41	—	4	2	no	—
1008	#41	—	4	2	no	—
1009	#41	—	4	2	no	—
1010	#41	—	4	2	no	—
1011	C₂×Q₈	—	2	1	no	—
1012	C₂×Q₈	—	2	1	no	—
1013	C₂×Q₈	—	2	2	no	—
1014	C₂×Q₈	—	4	2	no	—
1015	C₂×Q₈	—	4	2	no	—
1016	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1017	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1018	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1019	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1020	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1021	C₂×D₄	—	2	2	no	—
1022	C₂×D₄	—	2	1	no	—
1023	C₂×D₄	—	2	1	no	—
1024	C₂×D₄	—	2	2	no	—
1025	C₂×D₄	—	2	1	no	—
1026	C₂×D₄	—	2	1	no	—
1027	C₂×D₄	—	2	2	no	—
1028	C₂×D₄	—	2	2	no	—
1029	C₂×D₄	—	2	1	no	—
1030	C₂×D₄	—	2	1	no	—
1031	C₂×D₄	—	2	1	no	—
1032	C₂×D₄	—	4	1	no	—
1033	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1034	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1035	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1036	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1037	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1038	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1039	C₂²×C₄	—	2	1	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	—	2	1	no	—
1042	C₂²×C₄	—	2	1	no	—
1043	C₂²×C₄	—	2	1	no	—
1044	C₂²×C₄	—	2	1	no	—
1045	C₂²×C₄	—	2	2	no	—
1046	C₂²×C₄	—	2	1	no	—
1047	C₂²×C₄	—	2	1	no	—
1048	C₂²×C₄	—	2	1	no	—
1049	C₂²×C₄	—	2	1	no	—
1050	C₂²×C₄	—	2	2	no	—
1051	C₂²×C₄	—	2	2	no	—
1052	C₂²×C₄	—	4	4	no	—
1053	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1054	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1055	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1062	Q₁₆	—	4	2	no	—
1063	Q₁₆	—	4	2	no	—
1064	Q₁₆	—	4	2	no	—
1065	Q₁₆	—	4	2	no	—
1066	SD₁₆	—	2	4	no	—
1067	SD₁₆	—	2	4	no	—
1068	SD₁₆	—	4	2	no	—
1069	SD₁₆	—	4	2	no	—
1070	SD₁₆	—	4	2	no	—
1071	SD₁₆	—	4	2	no	—
1072	D₈	—	2	4	no	—
1073	D₈	—	4	2	no	—
1074	M₁₆	—	4	2	no	—
1075	M₁₆	—	4	2	no	—
1076	C₂×C₈	—	4	2	no	—
1077	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1078	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1079	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1080	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1081	C₄⋊C₄	—	2	2	no	—
1082	C₄⋊C₄	—	2	1	no	—
1083	C₄⋊C₄	—	2	1	no	—
1084	C₄⋊C₄	—	2	1	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	—	2	1	no	—
1087	C₄⋊C₄	—	2	1	no	—
1088	C₄⋊C₄	—	2	1	no	—
1089	C₄⋊C₄	—	2	1	no	—
1090	C₄⋊C₄	—	2	1	no	—
1091	C₄⋊C₄	—	2	1	no	—
1092	C₄⋊C₄	—	2	2	no	—
1093	C₄⋊C₄	—	2	2	no	—
1094	C₄⋊C₄	—	2	2	no	—
1095	C₄⋊C₄	—	2	1	no	—
1096	C₄⋊C₄	—	2	1	no	—
1097	C₄⋊C₄	—	2	1	no	—
1098	C₄⋊C₄	—	2	1	no	—
1099	C₄⋊C₄	—	2	1	no	—
1100	C₄⋊C₄	—	2	1	no	—
1101	C₄⋊C₄	—	2	1	no	—
1102	C₄⋊C₄	—	2	1	no	—
1103	C₄⋊C₄	—	2	1	no	—
1104	C₄⋊C₄	—	2	1	no	—
1105	C₄⋊C₄	—	2	1	no	—
1106	C₄⋊C₄	—	2	2	no	—
1107	C₄⋊C₄	—	2	2	no	—
1108	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1109	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1110	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1111	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1112	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1113	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1114	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1115	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1116	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1117	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1118	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1119	C₂²⋊C₄	—	2	1	no	—
1120	C₂²⋊C₄	—	2	1	no	—
1121	C₂²⋊C₄	—	2	2	no	—
1122	C₂²⋊C₄	—	2	2	no	—
1123	C₂²⋊C₄	—	2	1	no	—
1124	C₂²⋊C₄	—	2	1	no	—
1125	C₂²⋊C₄	—	2	1	no	—
1126	C₂²⋊C₄	—	2	1	no	—
1127	C₂²⋊C₄	—	2	1	no	—
1128	C₂²⋊C₄	—	2	1	no	—
1129	C₂²⋊C₄	—	2	1	no	—
1130	C₂²⋊C₄	—	2	1	no	—
1131	C₂²⋊C₄	—	2	1	no	—
1132	C₂²⋊C₄	—	2	1	no	—
1133	C₂²⋊C₄	—	2	1	no	—
1134	C₂²⋊C₄	—	2	1	no	—
1135	C₂²⋊C₄	—	2	2	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	2	1	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	—	2	2	no	—
1145	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1150	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1151	C₄²	—	2	1	no	—
1152	C₄²	—	2	1	no	—
1153	C₄²	—	2	1	no	—
1154	C₄²	—	2	1	no	—
1155	C₄²	—	2	1	no	—
1156	C₄²	—	2	1	no	—
1157	C₄²	—	2	2	no	—
1158	C₄²	—	2	2	no	—
1159	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1160	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1161	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1162	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1163	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1164	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1165	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1166	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1167	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1168	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1169	C₁₃	#61967	1	1	yes	characteristic, direct product factor, Sylow
1170	C₂³	—	2	1	no	—
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	2	no	—
1173	C₂³	—	4	2	no	—
1174	C₂³	—	4	2	no	—
1175	C₂³	—	8	1	no	—
1176	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1177	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1178	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1179	Q₈	—	2	2	no	—
1180	Q₈	—	2	2	no	—
1181	Q₈	—	2	1	no	—
1182	Q₈	—	2	1	no	—
1183	Q₈	—	2	1	no	—
1184	Q₈	—	2	2	no	—
1185	Q₈	—	2	1	no	—
1186	Q₈	—	2	2	no	—
1187	Q₈	—	4	1	no	—
1188	Q₈	—	4	2	no	—
1189	Q₈	—	8	2	no	—
1190	Q₈	—	8	1	no	—
1191	D₄	—	2	2	no	—
1192	D₄	—	2	1	no	—
1193	D₄	—	2	1	no	—
1194	D₄	—	2	1	no	—
1195	D₄	—	2	2	no	—
1196	D₄	—	4	1	no	—
1197	D₄	—	4	1	no	—
1198	D₄	—	4	1	no	—
1199	D₄	—	4	2	no	—
1200	D₄	—	4	2	no	—
1201	D₄	—	4	2	no	—
1202	D₄	—	4	2	no	—
1203	D₄	—	4	4	no	—
1204	D₄	—	4	2	no	—
1205	D₄	—	8	1	no	—
1206	D₄	—	8	1	no	—
1207	D₄	—	8	2	no	—
1208	D₄	—	8	2	no	—
1209	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	2	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	2	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	4	1	no	—
1229	C₂×C₄	—	4	1	no	—
1230	C₂×C₄	—	4	1	no	—
1231	C₂×C₄	—	4	2	no	—
1232	C₂×C₄	—	4	2	no	—
1233	C₂×C₄	—	4	2	no	—
1234	C₂×C₄	—	4	2	no	—
1235	C₂×C₄	—	4	4	no	—
1236	C₂×C₄	—	4	2	no	—
1237	C₂×C₄	—	4	2	no	—
1238	C₂×C₄	—	4	2	no	—
1239	C₂×C₄	—	8	1	no	—
1240	C₂×C₄	—	8	1	no	—
1241	C₂×C₄	—	8	2	no	—
1242	C₂×C₄	—	8	2	no	—
1243	C₂×C₄	—	8	2	no	—
1244	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1245	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1246	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1247	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1248	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1249	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1250	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1251	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1252	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1253	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1254	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1255	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1256	C₈	—	2	2	no	—
1257	C₈	—	2	2	no	—
1258	C₈	—	2	2	no	—
1259	C₈	—	2	2	no	—
1260	C₂²	—	2	1	no	—
1261	C₂²	—	2	1	no	—
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	2	1	no	—
1267	C₂²	—	2	1	no	—
1268	C₂²	—	2	1	no	—
1269	C₂²	—	2	2	no	—
1270	C₂²	—	4	1	no	—
1271	C₂²	—	4	1	no	—
1272	C₂²	—	4	1	no	—
1273	C₂²	—	4	2	no	—
1274	C₂²	—	4	2	no	—
1275	C₂²	—	4	1	no	—
1276	C₂²	—	4	2	no	—
1277	C₂²	—	4	1	no	—
1278	C₂²	—	8	4	no	—
1279	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1280	C₄	—	2	1	no	—
1281	C₄	—	2	1	no	—
1282	C₄	—	2	1	no	—
1283	C₄	—	2	1	no	—
1284	C₄	—	2	1	no	—
1285	C₄	—	2	1	no	—
1286	C₄	—	2	1	no	—
1287	C₄	—	2	1	no	—
1288	C₄	—	2	1	no	—
1289	C₄	—	2	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	1	no	—
1292	C₄	—	4	2	no	—
1293	C₄	—	4	1	no	—
1294	C₄	—	4	1	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	1	no	—
1297	C₄	—	4	2	no	—
1298	C₄	—	4	2	no	—
1299	C₄	C₁₃×#575	1	2	yes	—
1300	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1301	C₄	C₁₃×#585	1	1	yes	characteristic
1302	C₂	—	4	1	no	—
1303	C₂	—	4	1	no	—
1304	C₂	—	4	1	no	—
1305	C₂	—	4	2	no	—
1306	C₂	—	8	1	no	—
1307	C₂	—	8	2	no	—
1308	C₂	C₁₃×#3488	1	1	yes	characteristic
1309	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1310	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 ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3511	C₂	semidirect
2. C₁₃×#3475	C₂	semidirect
3. C₁₃×#3402	C₂	semidirect
4. C₁₃×#3376	C₂	semidirect
5. C₁₃×#3327	C₂	semidirect
6. C₁₃×#3321	C₂	semidirect
7. C₁₃×#3315	C₂	semidirect
8. C₁₃×#3275	C₂	semidirect
9. C₁₃×#3269	C₂	semidirect
10. C₁₃×#3267	C₂	semidirect
11. C₁₃×#3255	C₂	semidirect
12. C₁₃×#3251	C₂	semidirect
13. C₁₃×#3248	C₂	semidirect
14. C₁₃×#3218	C₂	semidirect
15. C₁₃×#3216	C₂	semidirect
16. C₁₃×#3212	C₂	semidirect
17. C₁₃×#3115	C₂	semidirect
18. C₁₃×#3110	C₂	semidirect
19. C₁₃×#3107	C₂	semidirect
20. C₁₃×#3039	C₂	semidirect
21. C₁₃×#3036	C₂	semidirect
22. C₁₃×#3035	C₂	semidirect
23. C₁₃×#2989	C₂	semidirect
28. C₁₃×#556	C₂²	semidirect
42. C₁₃×#548	C₂²	semidirect
52. C₁₃×#533	C₂²	semidirect
54. C₁₃×#532	C₂²	semidirect
55. C₁₃×#532	C₂²	semidirect
56. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
69. C₁₃×#497	C₂²	semidirect
71. C₁₃×#491	C₂²	semidirect
72. C₁₃×#489	C₂²	semidirect
73. C₁₃×#488	C₂²	semidirect
74. C₁₃×#485	C₂²	semidirect
76. C₁₃×#482	C₂²	semidirect
77. C₁₃×#479	C₂²	semidirect
78. C₁₃×#478	C₂²	semidirect
79. C₁₃×#475	C₂²	semidirect
80. C₁₃×#475	C₂²	semidirect
81. C₁₃×#475	C₂²	semidirect
87. C₁₃×#468	C₂²	semidirect
88. C₁₃×#467	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
96. C₁₃×#462	C₂²	semidirect
97. C₁₃×#462	C₂²	semidirect
98. C₁₃×#462	C₂²	semidirect
99. C₁₃×#462	C₂²	semidirect
100. C₁₃×#462	C₂²	semidirect
101. C₁₃×#462	C₂²	semidirect
107. C₁₃×#460	C₂²	semidirect
108. C₁₃×#460	C₂²	semidirect
114. C₁₃×#452	C₂²	semidirect
115. C₁₃×#451	C₂²	semidirect
120. C₁₃×#446	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
125. C₄×C₁₃×Q₁₆	C₂²	semidirect
129. C₁₃×#435	C₂²	semidirect
131. C₁₃×#432	C₂²	semidirect
132. C₁₃×#431	C₂²	semidirect
134. C₁₃×#423	C₂²	semidirect
135. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
136. C₁₃×#419	C₂²	semidirect
138. C₁₃×#416	C₂²	semidirect
345. #61967	C₁₃	direct (N × H)
515. #3511	C₂×C₁₃	semidirect
516. #3475	C₂×C₁₃	semidirect
517. #3402	C₂×C₁₃	semidirect
518. #3376	C₂×C₁₃	semidirect
519. #3327	C₂×C₁₃	semidirect
520. #3321	C₂×C₁₃	semidirect
521. #3315	C₂×C₁₃	semidirect
522. #3275	C₂×C₁₃	semidirect
523. #3269	C₂×C₁₃	semidirect
524. #3267	C₂×C₁₃	semidirect
525. #3255	C₂×C₁₃	semidirect
526. #3251	C₂×C₁₃	semidirect
527. #3248	C₂×C₁₃	semidirect
528. #3218	C₂×C₁₃	semidirect
529. #3216	C₂×C₁₃	semidirect
530. #3212	C₂×C₁₃	semidirect
531. #3115	C₂×C₁₃	semidirect
532. #3110	C₂×C₁₃	semidirect
533. #3107	C₂×C₁₃	semidirect
534. #3039	C₂×C₁₃	semidirect
535. #3036	C₂×C₁₃	semidirect
536. #3035	C₂×C₁₃	semidirect
537. #2989	C₂×C₁₃	semidirect
632. #556	C₂²×C₁₃	semidirect
646. #548	C₂²×C₁₃	semidirect
656. #533	C₂²×C₁₃	semidirect
658. #532	C₂²×C₁₃	semidirect
659. #532	C₂²×C₁₃	semidirect
660. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
673. #497	C₂²×C₁₃	semidirect
675. #491	C₂²×C₁₃	semidirect
676. #489	C₂²×C₁₃	semidirect
677. #488	C₂²×C₁₃	semidirect
678. #485	C₂²×C₁₃	semidirect
680. #482	C₂²×C₁₃	semidirect
681. #479	C₂²×C₁₃	semidirect
682. #478	C₂²×C₁₃	semidirect
683. #475	C₂²×C₁₃	semidirect
684. #475	C₂²×C₁₃	semidirect
685. #475	C₂²×C₁₃	semidirect
691. #468	C₂²×C₁₃	semidirect
692. #467	C₂²×C₁₃	semidirect
695. #464	C₂²×C₁₃	semidirect
700. #462	C₂²×C₁₃	semidirect
701. #462	C₂²×C₁₃	semidirect
702. #462	C₂²×C₁₃	semidirect
703. #462	C₂²×C₁₃	semidirect
704. #462	C₂²×C₁₃	semidirect
705. #462	C₂²×C₁₃	semidirect
711. #460	C₂²×C₁₃	semidirect
712. #460	C₂²×C₁₃	semidirect
718. #452	C₂²×C₁₃	semidirect
719. #451	C₂²×C₁₃	semidirect
724. #446	C₂²×C₁₃	semidirect
728. #440	C₂²×C₁₃	semidirect
729. C₄×Q₁₆	C₂²×C₁₃	semidirect
733. #435	C₂²×C₁₃	semidirect
735. #432	C₂²×C₁₃	semidirect
736. #431	C₂²×C₁₃	semidirect
738. #423	C₂²×C₁₃	semidirect
739. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
740. #419	C₂²×C₁₃	semidirect
742. #416	C₂²×C₁₃	semidirect
1169. C₁₃	#61967	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3511	2
C₁₃×#3475	2
C₁₃×#3402	2
C₁₃×#3376	2
C₁₃×#3327	2
C₁₃×#3321	2
C₁₃×#3315	2
C₁₃×#3275	2
C₁₃×#3269	2
C₁₃×#3267	2
C₁₃×#3255	2
C₁₃×#3251	2
C₁₃×#3248	2
C₁₃×#3218	2
C₁₃×#3216	2
C₁₃×#3212	2
C₁₃×#3115	2
C₁₃×#3110	2
C₁₃×#3107	2
C₁₃×#3039	2
C₁₃×#3036	2
C₁₃×#3035	2
C₁₃×#2989	2
#61967	13

Subgroups — C13×#61967 #15748306

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61967 #15748306