Subgroups — C₁₃×#60935 #15747274

Order 3328.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1186 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3494	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3263	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3260	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3258	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3257	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3250	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3248	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3247	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3246	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3084	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3084	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3050	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3043	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3042	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#424	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
27	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
28	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
29	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
30	C₁₃×#556	—	2	1	no	—
31	C₁₃×#555	—	2	1	no	—
32	C₁₃×#554	—	2	1	no	—
33	C₁₃×#553	—	2	1	no	—
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#552	—	2	2	no	—
36	C₁₃×#552	—	2	1	no	—
37	C₁₃×#552	—	2	1	no	—
38	C₁₃×#551	—	2	2	no	—
39	C₁₃×#551	—	2	2	no	—
40	C₁₃×#547	—	2	1	no	—
41	C₁₃×#546	—	2	2	no	—
42	C₁₃×#544	C₂²	1	1	yes	characteristic
43	C₁₃×#544	C₂²	1	1	yes	characteristic
44	C₁₃×#542	C₂²	1	2	yes	—
45	C₁₃×#542	C₂²	1	2	yes	complemented
46	C₁₃×#541	C₂²	1	2	yes	complemented
47	C₁₃×#540	C₂²	1	2	yes	—
48	C₁₃×#536	C₂²	1	1	yes	characteristic
49	C₁₃×#535	C₂²	1	1	yes	characteristic
50	C₁₃×#533	C₂²	1	2	yes	complemented
51	C₁₃×#532	C₂²	1	2	yes	—
52	C₁₃×#529	C₂²	1	2	yes	—
53	C₁₃×#529	C₂²	1	2	yes	complemented
54	C₁₃×#525	C₂²	1	1	yes	characteristic
55	C₁₃×#525	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
58	C₁₃×#520	C₂²	1	1	yes	characteristic
59	C₁₃×#520	C₂²	1	1	yes	characteristic
60	C₁₃×#519	C₂²	1	1	yes	characteristic
61	C₁₃×#518	C₂²	1	1	yes	characteristic
62	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
63	C₁₃×#479	C₂²	1	2	yes	complemented
64	C₁₃×#479	C₂²	1	2	yes	complemented
65	C₁₃×#479	C₂²	1	2	yes	complemented
66	C₁₃×#479	C₂²	1	2	yes	complemented
67	C₁₃×#478	C₂²	1	2	yes	complemented
68	C₁₃×#478	C₂²	1	2	yes	complemented
69	C₁₃×#478	C₂²	1	2	yes	complemented
70	C₁₃×#478	C₂²	1	2	yes	complemented
71	C₁₃×#477	C₂²	1	2	yes	complemented
72	C₁₃×#476	C₂²	1	2	yes	complemented
73	C₁₃×#476	C₂²	1	2	yes	complemented
74	C₁₃×#476	C₂²	1	2	yes	complemented
75	C₁₃×#475	C₂²	1	2	yes	complemented
76	C₁₃×#475	C₂²	1	2	yes	complemented
77	C₁₃×#475	C₂²	1	2	yes	complemented
78	C₁₃×#474	C₂²	1	2	yes	complemented
79	C₁₃×#470	C₂²	1	2	yes	complemented
80	C₁₃×#469	C₂²	1	2	yes	—
81	C₁₃×#468	C₂²	1	2	yes	—
82	C₁₃×#468	C₂²	1	2	yes	complemented
83	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#467	C₂²	1	2	yes	complemented
86	C₁₃×#466	C₂²	1	2	yes	—
87	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#465	C₂²	1	2	yes	—
90	C₁₃×#465	C₂²	1	2	yes	—
91	C₁₃×#465	C₂²	1	2	yes	—
92	C₁₃×#465	C₂²	1	2	yes	—
93	C₁₃×#465	C₂²	1	2	yes	—
94	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#465	C₂²	1	2	yes	complemented
99	C₁₃×#464	C₂²	1	2	yes	complemented
100	C₁₃×#464	C₂²	1	2	yes	complemented
101	C₁₃×#464	C₂²	1	2	yes	complemented
102	C₁₃×#464	C₂²	1	2	yes	complemented
103	C₁₃×#463	C₂²	1	2	yes	complemented
104	C₁₃×#463	C₂²	1	2	yes	complemented
105	C₁₃×#463	C₂²	1	2	yes	complemented
106	C₁₃×#463	C₂²	1	2	yes	complemented
107	C₁₃×#462	C₂²	1	2	yes	complemented
108	C₁₃×#461	C₂²	1	2	yes	complemented
109	C₁₃×#461	C₂²	1	2	yes	complemented
110	C₁₃×#461	C₂²	1	2	yes	complemented
111	C₁₃×#460	C₂²	1	2	yes	complemented
112	C₁₃×#460	C₂²	1	2	yes	complemented
113	C₁₃×#460	C₂²	1	2	yes	complemented
114	C₁₃×#459	C₂²	1	2	yes	complemented
115	C₁₃×#428	C₂²	1	1	yes	characteristic
116	C₁₃×#428	C₂²	1	1	yes	characteristic
117	C₁₃×#427	C₂²	1	1	yes	characteristic
118	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
119	C₁₃×#424	C₂²	1	1	yes	characteristic
120	C₁₃×#424	C₂²	1	1	yes	characteristic
121	C₁₃×#424	C₂²	1	1	yes	characteristic
122	C₁₃×#424	C₂²	1	1	yes	characteristic
123	C₁₃×#424	C₂²	1	2	yes	complemented
124	C₁₃×#424	C₂²	1	2	yes	complemented
125	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	complemented
126	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	complemented
127	C₁₃×#419	C₂²	1	1	yes	characteristic
128	C₁₃×#418	C₂²	1	1	yes	characteristic
129	C₁₃×#417	C₂²	1	1	yes	characteristic
130	C₁₃×#417	C₂²	1	1	yes	characteristic
131	C₁₃×#416	C₂²	1	1	yes	characteristic
132	C₁₃×#416	C₂²	1	1	yes	characteristic
133	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
134	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	2	no	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃	—	2	1	no	—
140	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₁₃×#137	—	4	2	no	—
143	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
144	C₁₃×#135	—	4	2	no	—
145	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×SD₁₆	—	4	2	no	—
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×M₁₆	—	4	2	no	—
157	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
159	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
160	C₂²×C₈×C₁₃	—	4	2	no	—
161	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
162	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
163	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
164	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
165	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
166	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
167	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
168	C₁₃×C₄⋊Q₈	—	2	1	no	—
169	C₁₃×C₄⋊Q₈	—	2	1	no	—
170	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
171	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
172	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₁₃×#127	C₂³	1	2	yes	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#126	—	2	2	no	—
178	C₁₃×#126	—	2	2	no	—
179	C₁₃×#126	—	2	2	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	—	2	1	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	—	2	2	no	—
185	C₁₃×#125	C₂³	1	2	yes	—
186	C₁₃×#125	C₂³	1	2	yes	—
187	C₁₃×#124	—	2	2	no	—
188	C₁₃×#124	—	2	2	no	—
189	C₁₃×#124	—	2	2	no	—
190	C₁₃×#124	C₂³	1	2	yes	—
191	C₁₃×#124	C₂³	1	2	yes	—
192	C₁₃×#123	—	2	1	no	—
193	C₁₃×#123	—	2	1	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	1	no	—
202	C₁₃×C₂²⋊Q₈	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	1	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
214	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
215	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
216	C₁₃×#121	—	2	1	no	—
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	1	no	—
220	C₁₃×#121	—	2	1	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	C₂³	1	2	yes	—
224	C₁₃×#121	C₂³	1	2	yes	—
225	C₁₃×#121	C₂³	1	1	yes	characteristic
226	C₁₃×#121	C₂³	1	1	yes	characteristic
227	C₁₃×#121	C₂³	1	1	yes	characteristic
228	C₁₃×#121	C₂³	1	1	yes	characteristic
229	C₁₃×#120	—	2	1	no	—
230	C₁₃×#120	—	2	1	no	—
231	C₁₃×#120	—	2	2	no	—
232	C₄×Q₈×C₁₃	—	2	1	no	—
233	C₄×Q₈×C₁₃	—	2	1	no	—
234	C₄×Q₈×C₁₃	—	2	2	no	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
237	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
238	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	1	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	1	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	2	no	—
248	C₄×D₄×C₁₃	—	2	2	no	—
249	C₄×D₄×C₁₃	—	2	2	no	—
250	C₄×D₄×C₁₃	C₂³	1	2	yes	—
251	C₄×D₄×C₁₃	C₂³	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	2	yes	—
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	—	2	1	no	—
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	—	2	2	no	—
258	C₁₃×#117	—	2	2	no	—
259	C₁₃×#117	—	2	2	no	—
260	C₁₃×#117	D₄	1	2	yes	—
261	C₁₃×#117	D₄	1	1	yes	characteristic
262	C₁₃×#117	D₄	1	1	yes	characteristic
263	C₁₃×#117	C₂³	1	1	yes	characteristic
264	C₁₃×#117	C₂³	1	1	yes	characteristic
265	C₁₃×#117	C₂³	1	1	yes	characteristic
266	C₁₃×#117	C₂³	1	1	yes	characteristic
267	C₁₃×#117	C₂³	1	2	yes	—
268	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
269	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
271	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
272	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
273	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
276	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
277	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
278	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
279	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
280	C₁₃×#107	C₂³	1	1	yes	characteristic
281	C₁₃×#107	C₂³	1	1	yes	characteristic
282	C₁₃×#107	C₂³	1	2	yes	—
283	C₁₃×#107	C₂³	1	2	yes	—
284	C₁₃×#106	C₂³	1	2	yes	—
285	C₁₃×#106	C₂³	1	2	yes	—
286	C₁₃×#106	C₂³	1	1	yes	characteristic
287	C₁₃×#106	C₂³	1	1	yes	characteristic
288	C₁₃×#106	C₂³	1	2	yes	—
289	C₁₃×#106	C₂³	1	2	yes	—
290	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
291	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
292	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
293	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
294	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
295	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
296	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
297	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#103	C₂³	1	1	yes	characteristic
301	C₁₃×#103	C₂³	1	1	yes	characteristic
302	C₁₃×#103	C₂³	1	1	yes	characteristic
303	C₁₃×#103	C₂³	1	1	yes	characteristic
304	C₁₃×#103	C₂³	1	2	yes	—
305	C₁₃×#103	C₂³	1	2	yes	—
306	C₁₃×#103	C₂³	1	2	yes	—
307	C₁₃×#103	C₂³	1	2	yes	—
308	C₁₃×#102	C₂³	1	2	yes	—
309	C₁₃×#102	C₂³	1	2	yes	—
310	C₁₃×#102	C₂³	1	1	yes	characteristic
311	C₁₃×#102	C₂³	1	1	yes	characteristic
312	C₁₃×#102	C₂³	1	1	yes	characteristic
313	C₁₃×#102	C₂³	1	1	yes	characteristic
314	C₁₃×#102	C₂³	1	2	yes	—
315	C₁₃×#102	C₂³	1	2	yes	—
316	C₁₃×#102	C₂³	1	2	yes	—
317	C₁₃×#102	C₂³	1	2	yes	—
318	#60935	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
319	C₂⁴×C₁₃	—	2	1	no	—
320	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
321	C₁₃×#41	—	2	2	no	—
322	C₁₃×#41	—	2	2	no	—
323	C₁₃×#41	—	2	2	no	—
324	C₁₃×#41	—	2	2	no	—
325	C₁₃×#41	—	8	4	no	—
326	C₂×Q₈×C₁₃	—	2	1	no	—
327	C₂×Q₈×C₁₃	—	2	2	no	—
328	C₂×Q₈×C₁₃	—	2	2	no	—
329	C₂×Q₈×C₁₃	—	2	2	no	—
330	C₂×Q₈×C₁₃	—	2	2	no	—
331	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	1	no	—
340	C₂×D₄×C₁₃	—	2	1	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	2	no	—
345	C₂×D₄×C₁₃	—	2	2	no	—
346	C₂×D₄×C₁₃	—	2	2	no	—
347	C₂×D₄×C₁₃	—	8	2	no	—
348	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
350	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	—	2	2	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	2	1	no	—
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	1	no	—
356	C₂²×C₄×C₁₃	—	2	1	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
363	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₁₃×Q₁₆	—	4	1	no	—
371	C₁₃×Q₁₆	—	4	2	no	—
372	C₁₃×SD₁₆	—	4	2	no	—
373	C₁₃×SD₁₆	—	4	2	no	—
374	C₁₃×SD₁₆	—	4	1	no	—
375	C₁₃×SD₁₆	—	4	1	no	—
376	C₁₃×SD₁₆	—	4	2	no	—
377	C₁₃×SD₁₆	—	4	2	no	—
378	C₁₃×D₈	—	4	1	no	—
379	C₁₃×D₈	—	4	2	no	—
380	C₁₃×M₁₆	—	2	2	no	—
381	C₁₃×M₁₆	—	2	2	no	—
382	C₁₃×M₁₆	—	4	2	no	—
383	C₂×C₈×C₁₃	—	2	2	no	—
384	C₂×C₈×C₁₃	—	2	2	no	—
385	C₂×C₈×C₁₃	—	4	1	no	—
386	C₂×C₈×C₁₃	—	4	1	no	—
387	C₂×C₈×C₁₃	—	4	1	no	—
388	C₂×C₈×C₁₃	—	4	1	no	—
389	C₂×C₈×C₁₃	—	4	2	no	—
390	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
391	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	1	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	1	no	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	2	2	no	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	1	no	—
415	C₁₃×C₄⋊C₄	—	2	2	no	—
416	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
417	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
418	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
419	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
420	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
421	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
422	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
423	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
424	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
425	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
426	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
427	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
428	C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	1	no	—
432	C₁₃×C₂²⋊C₄	—	2	1	no	—
433	C₁₃×C₂²⋊C₄	—	2	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	1	no	—
435	C₁₃×C₂²⋊C₄	—	2	1	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	2	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	—	2	2	no	—
440	C₁₃×C₂²⋊C₄	—	2	1	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	2	no	—
443	C₁₃×C₂²⋊C₄	—	2	2	no	—
444	C₁₃×C₂²⋊C₄	—	2	2	no	—
445	C₁₃×C₂²⋊C₄	—	2	1	no	—
446	C₁₃×C₂²⋊C₄	—	2	2	no	—
447	C₁₃×C₂²⋊C₄	—	2	1	no	—
448	C₁₃×C₂²⋊C₄	—	2	1	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
451	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
452	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
453	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
454	C₄²×C₁₃	—	2	2	no	—
455	C₄²×C₁₃	—	2	2	no	—
456	C₄²×C₁₃	—	2	2	no	—
457	C₄²×C₁₃	—	2	2	no	—
458	C₄²×C₁₃	—	2	1	no	—
459	C₄²×C₁₃	—	2	1	no	—
460	C₄²×C₁₃	C₂×D₄	1	2	yes	—
461	C₄²×C₁₃	C₂×D₄	1	2	yes	—
462	C₄²×C₁₃	C₂⁴	1	2	yes	—
463	C₄²×C₁₃	C₂⁴	1	2	yes	—
464	#3495	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3494	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3263	C₂×C₁₃	1	2	yes	complemented
467	#3260	C₂×C₁₃	1	2	yes	complemented
468	#3258	C₂×C₁₃	1	2	yes	complemented
469	#3257	C₂×C₁₃	1	2	yes	complemented
470	#3250	C₂×C₁₃	1	2	yes	complemented
471	#3248	C₂×C₁₃	1	2	yes	complemented
472	#3247	C₂×C₁₃	1	2	yes	complemented
473	#3246	C₂×C₁₃	1	2	yes	complemented
474	#3084	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3084	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3056	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3055	C₂×C₁₃	1	1	yes	characteristic, complemented
480	#3050	C₂×C₁₃	1	1	yes	characteristic, complemented
481	C₂×#465	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#3046	C₂×C₁₃	1	1	yes	characteristic, complemented
483	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
484	#3043	C₂×C₁₃	1	1	yes	characteristic, complemented
485	#3042	C₂×C₁₃	1	1	yes	characteristic, complemented
486	C₂×#424	C₂×C₁₃	1	1	yes	characteristic, complemented
487	C₂³×C₁₃	—	2	2	no	—
488	C₂³×C₁₃	—	2	2	no	—
489	C₂³×C₁₃	—	2	1	no	—
490	C₂³×C₁₃	—	2	2	no	—
491	C₂³×C₁₃	—	2	1	no	—
492	C₂³×C₁₃	—	4	1	no	—
493	C₂³×C₁₃	—	4	2	no	—
494	C₂³×C₁₃	—	8	1	no	—
495	C₂³×C₁₃	—	8	1	no	—
496	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
497	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
498	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
499	Q₈×C₁₃	—	2	2	no	—
500	Q₈×C₁₃	—	2	1	no	—
501	Q₈×C₁₃	—	2	1	no	—
502	Q₈×C₁₃	—	2	2	no	—
503	Q₈×C₁₃	—	2	1	no	—
504	Q₈×C₁₃	—	2	1	no	—
505	Q₈×C₁₃	—	4	2	no	—
506	Q₈×C₁₃	—	8	2	no	—
507	Q₈×C₁₃	—	8	2	no	—
508	D₄×C₁₃	—	2	1	no	—
509	D₄×C₁₃	—	2	2	no	—
510	D₄×C₁₃	—	2	1	no	—
511	D₄×C₁₃	—	2	2	no	—
512	D₄×C₁₃	—	2	1	no	—
513	D₄×C₁₃	—	2	1	no	—
514	D₄×C₁₃	—	4	2	no	—
515	D₄×C₁₃	—	4	2	no	—
516	D₄×C₁₃	—	4	2	no	—
517	D₄×C₁₃	—	4	4	no	—
518	D₄×C₁₃	—	4	2	no	—
519	D₄×C₁₃	—	4	2	no	—
520	D₄×C₁₃	—	8	2	no	—
521	D₄×C₁₃	—	8	2	no	—
522	D₄×C₁₃	—	8	1	no	—
523	D₄×C₁₃	—	8	1	no	—
524	D₄×C₁₃	—	8	2	no	—
525	C₂×C₄×C₁₃	—	2	2	no	—
526	C₂×C₄×C₁₃	—	2	4	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	2	no	—
529	C₂×C₄×C₁₃	—	2	1	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	1	no	—
532	C₂×C₄×C₁₃	—	2	1	no	—
533	C₂×C₄×C₁₃	—	2	1	no	—
534	C₂×C₄×C₁₃	—	2	1	no	—
535	C₂×C₄×C₁₃	—	2	1	no	—
536	C₂×C₄×C₁₃	—	2	2	no	—
537	C₂×C₄×C₁₃	—	2	1	no	—
538	C₂×C₄×C₁₃	—	2	1	no	—
539	C₂×C₄×C₁₃	—	2	1	no	—
540	C₂×C₄×C₁₃	—	2	2	no	—
541	C₂×C₄×C₁₃	—	2	2	no	—
542	C₂×C₄×C₁₃	—	4	2	no	—
543	C₂×C₄×C₁₃	—	4	2	no	—
544	C₂×C₄×C₁₃	—	4	2	no	—
545	C₂×C₄×C₁₃	—	4	2	no	—
546	C₂×C₄×C₁₃	—	8	2	no	—
547	C₂×C₄×C₁₃	—	8	2	no	—
548	C₂×C₄×C₁₃	—	8	2	no	—
549	C₂×C₄×C₁₃	—	8	2	no	—
550	C₂×C₄×C₁₃	—	8	1	no	—
551	C₂×C₄×C₁₃	—	8	1	no	—
552	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
553	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
554	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
555	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
556	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
557	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
558	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
559	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
560	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
561	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
562	C₈×C₁₃	—	2	1	no	—
563	C₈×C₁₃	—	2	1	no	—
564	C₈×C₁₃	—	2	1	no	—
565	C₈×C₁₃	—	2	1	no	—
566	C₈×C₁₃	—	2	2	no	—
567	C₈×C₁₃	—	2	2	no	—
568	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
569	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
570	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
571	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
572	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
573	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
574	#556	—	2	1	no	—
575	#555	—	2	1	no	—
576	#554	—	2	1	no	—
577	#553	—	2	1	no	—
578	#553	—	2	1	no	—
579	#552	—	2	2	no	—
580	#552	—	2	1	no	—
581	#552	—	2	1	no	—
582	#551	—	2	2	no	—
583	#551	—	2	2	no	—
584	#547	—	2	1	no	—
585	#546	—	2	2	no	—
586	#544	C₂²×C₁₃	1	1	yes	characteristic
587	#544	C₂²×C₁₃	1	1	yes	characteristic
588	#542	C₂²×C₁₃	1	2	yes	—
589	#542	C₂²×C₁₃	1	2	yes	complemented
590	#541	C₂²×C₁₃	1	2	yes	complemented
591	#540	C₂²×C₁₃	1	2	yes	—
592	#536	C₂²×C₁₃	1	1	yes	characteristic
593	#535	C₂²×C₁₃	1	1	yes	characteristic
594	#533	C₂²×C₁₃	1	2	yes	complemented
595	#532	C₂²×C₁₃	1	2	yes	—
596	#529	C₂²×C₁₃	1	2	yes	—
597	#529	C₂²×C₁₃	1	2	yes	complemented
598	#525	C₂²×C₁₃	1	1	yes	characteristic
599	#525	C₂²×C₁₃	1	1	yes	characteristic
600	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
601	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
602	#520	C₂²×C₁₃	1	1	yes	characteristic
603	#520	C₂²×C₁₃	1	1	yes	characteristic
604	#519	C₂²×C₁₃	1	1	yes	characteristic
605	#518	C₂²×C₁₃	1	1	yes	characteristic
606	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
607	#479	C₂²×C₁₃	1	2	yes	complemented
608	#479	C₂²×C₁₃	1	2	yes	complemented
609	#479	C₂²×C₁₃	1	2	yes	complemented
610	#479	C₂²×C₁₃	1	2	yes	complemented
611	#478	C₂²×C₁₃	1	2	yes	complemented
612	#478	C₂²×C₁₃	1	2	yes	complemented
613	#478	C₂²×C₁₃	1	2	yes	complemented
614	#478	C₂²×C₁₃	1	2	yes	complemented
615	#477	C₂²×C₁₃	1	2	yes	complemented
616	#476	C₂²×C₁₃	1	2	yes	complemented
617	#476	C₂²×C₁₃	1	2	yes	complemented
618	#476	C₂²×C₁₃	1	2	yes	complemented
619	#475	C₂²×C₁₃	1	2	yes	complemented
620	#475	C₂²×C₁₃	1	2	yes	complemented
621	#475	C₂²×C₁₃	1	2	yes	complemented
622	#474	C₂²×C₁₃	1	2	yes	complemented
623	#470	C₂²×C₁₃	1	2	yes	complemented
624	#469	C₂²×C₁₃	1	2	yes	—
625	#468	C₂²×C₁₃	1	2	yes	—
626	#468	C₂²×C₁₃	1	2	yes	complemented
627	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
628	#467	C₂²×C₁₃	1	2	yes	complemented
629	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#466	C₂²×C₁₃	1	2	yes	—
631	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
632	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#465	C₂²×C₁₃	1	2	yes	—
634	#465	C₂²×C₁₃	1	2	yes	—
635	#465	C₂²×C₁₃	1	2	yes	—
636	#465	C₂²×C₁₃	1	2	yes	—
637	#465	C₂²×C₁₃	1	2	yes	—
638	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
639	#465	C₂²×C₁₃	1	2	yes	complemented
640	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#464	C₂²×C₁₃	1	2	yes	complemented
644	#464	C₂²×C₁₃	1	2	yes	complemented
645	#464	C₂²×C₁₃	1	2	yes	complemented
646	#464	C₂²×C₁₃	1	2	yes	complemented
647	#463	C₂²×C₁₃	1	2	yes	complemented
648	#463	C₂²×C₁₃	1	2	yes	complemented
649	#463	C₂²×C₁₃	1	2	yes	complemented
650	#463	C₂²×C₁₃	1	2	yes	complemented
651	#462	C₂²×C₁₃	1	2	yes	complemented
652	#461	C₂²×C₁₃	1	2	yes	complemented
653	#461	C₂²×C₁₃	1	2	yes	complemented
654	#461	C₂²×C₁₃	1	2	yes	complemented
655	#460	C₂²×C₁₃	1	2	yes	complemented
656	#460	C₂²×C₁₃	1	2	yes	complemented
657	#460	C₂²×C₁₃	1	2	yes	complemented
658	#459	C₂²×C₁₃	1	2	yes	complemented
659	#428	C₂²×C₁₃	1	1	yes	characteristic
660	#428	C₂²×C₁₃	1	1	yes	characteristic
661	#427	C₂²×C₁₃	1	1	yes	characteristic
662	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
663	#424	C₂²×C₁₃	1	1	yes	characteristic
664	#424	C₂²×C₁₃	1	1	yes	characteristic
665	#424	C₂²×C₁₃	1	1	yes	characteristic
666	#424	C₂²×C₁₃	1	1	yes	characteristic
667	#424	C₂²×C₁₃	1	2	yes	complemented
668	#424	C₂²×C₁₃	1	2	yes	complemented
669	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	complemented
670	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	complemented
671	#419	C₂²×C₁₃	1	1	yes	characteristic
672	#418	C₂²×C₁₃	1	1	yes	characteristic
673	#417	C₂²×C₁₃	1	1	yes	characteristic
674	#417	C₂²×C₁₃	1	1	yes	characteristic
675	#416	C₂²×C₁₃	1	1	yes	characteristic
676	#416	C₂²×C₁₃	1	1	yes	characteristic
677	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
678	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
679	C₂²×C₁₃	—	2	1	no	—
680	C₂²×C₁₃	—	2	1	no	—
681	C₂²×C₁₃	—	2	1	no	—
682	C₂²×C₁₃	—	2	1	no	—
683	C₂²×C₁₃	—	2	1	no	—
684	C₂²×C₁₃	—	2	1	no	—
685	C₂²×C₁₃	—	2	1	no	—
686	C₂²×C₁₃	—	4	4	no	—
687	C₂²×C₁₃	—	4	1	no	—
688	C₂²×C₁₃	—	4	2	no	—
689	C₂²×C₁₃	—	4	1	no	—
690	C₂²×C₁₃	—	4	1	no	—
691	C₂²×C₁₃	—	4	1	no	—
692	C₂²×C₁₃	—	4	2	no	—
693	C₂²×C₁₃	—	4	1	no	—
694	C₂²×C₁₃	—	4	2	no	—
695	C₂²×C₁₃	—	4	1	no	—
696	C₂²×C₁₃	—	16	2	no	—
697	C₂²×C₁₃	#537	1	2	yes	—
698	C₂²×C₁₃	#577	1	2	yes	—
699	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
700	C₄×C₁₃	—	2	2	no	—
701	C₄×C₁₃	—	2	2	no	—
702	C₄×C₁₃	—	2	1	no	—
703	C₄×C₁₃	—	2	1	no	—
704	C₄×C₁₃	—	2	2	no	—
705	C₄×C₁₃	—	2	2	no	—
706	C₄×C₁₃	—	4	1	no	—
707	C₄×C₁₃	—	4	2	no	—
708	C₄×C₁₃	—	4	1	no	—
709	C₄×C₁₃	—	4	1	no	—
710	C₄×C₁₃	—	4	1	no	—
711	C₄×C₁₃	—	4	2	no	—
712	C₄×C₁₃	—	4	2	no	—
713	C₄×C₁₃	—	4	1	no	—
714	C₄×C₁₃	—	4	1	no	—
715	C₄×C₁₃	#537	1	2	yes	—
716	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
717	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
718	C₂×#41	—	2	2	no	—
719	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
720	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
721	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
722	C₂²×D₄	—	2	1	no	—
723	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
724	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
725	#137	—	4	2	no	—
726	AGL(1,ℤ/8)	—	4	2	no	—
727	#135	—	4	2	no	—
728	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
729	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
730	C₂×SD₁₆	—	4	2	no	—
731	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
732	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
733	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
734	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
735	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
736	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
737	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
738	C₂×D₈	C₂³×C₁₃	1	2	yes	—
739	C₂×M₁₆	—	4	2	no	—
740	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
741	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
742	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
743	C₂²×C₈	—	4	2	no	—
744	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
745	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
746	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
747	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
748	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
749	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
750	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
751	C₄⋊Q₈	—	2	1	no	—
752	C₄⋊Q₈	—	2	1	no	—
753	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
754	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
755	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
756	#127	C₂³×C₁₃	1	2	yes	—
757	#126	—	2	2	no	—
758	#126	—	2	2	no	—
759	#126	—	2	2	no	—
760	#126	—	2	2	no	—
761	#126	—	2	2	no	—
762	#126	—	2	2	no	—
763	#125	—	2	2	no	—
764	#125	—	2	2	no	—
765	#125	—	2	1	no	—
766	#125	—	2	1	no	—
767	#125	—	2	2	no	—
768	#125	C₂³×C₁₃	1	2	yes	—
769	#125	C₂³×C₁₃	1	2	yes	—
770	#124	—	2	2	no	—
771	#124	—	2	2	no	—
772	#124	—	2	2	no	—
773	#124	C₂³×C₁₃	1	2	yes	—
774	#124	C₂³×C₁₃	1	2	yes	—
775	#123	—	2	1	no	—
776	#123	—	2	1	no	—
777	#123	—	2	2	no	—
778	#123	—	2	2	no	—
779	#123	—	2	2	no	—
780	#123	—	2	2	no	—
781	#123	—	2	2	no	—
782	#123	—	2	2	no	—
783	#123	—	2	2	no	—
784	C₂²⋊Q₈	—	2	1	no	—
785	C₂²⋊Q₈	—	2	1	no	—
786	C₂²⋊Q₈	—	2	2	no	—
787	C₂²⋊Q₈	—	2	1	no	—
788	C₂²⋊Q₈	—	2	1	no	—
789	C₂²⋊Q₈	—	2	2	no	—
790	C₂²⋊Q₈	—	2	2	no	—
791	C₂²⋊Q₈	—	2	2	no	—
792	C₂²⋊Q₈	—	2	2	no	—
793	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
794	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
795	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
796	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
797	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
798	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
799	#121	—	2	1	no	—
800	#121	—	2	1	no	—
801	#121	—	2	2	no	—
802	#121	—	2	1	no	—
803	#121	—	2	1	no	—
804	#121	—	2	2	no	—
805	#121	—	2	2	no	—
806	#121	C₂³×C₁₃	1	2	yes	—
807	#121	C₂³×C₁₃	1	2	yes	—
808	#121	C₂³×C₁₃	1	1	yes	characteristic
809	#121	C₂³×C₁₃	1	1	yes	characteristic
810	#121	C₂³×C₁₃	1	1	yes	characteristic
811	#121	C₂³×C₁₃	1	1	yes	characteristic
812	#120	—	2	1	no	—
813	#120	—	2	1	no	—
814	#120	—	2	2	no	—
815	C₄×Q₈	—	2	1	no	—
816	C₄×Q₈	—	2	1	no	—
817	C₄×Q₈	—	2	2	no	—
818	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
819	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
820	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
821	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	2	no	—
827	C₄×D₄	—	2	2	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	2	1	no	—
830	C₄×D₄	—	2	2	no	—
831	C₄×D₄	—	2	2	no	—
832	C₄×D₄	—	2	2	no	—
833	C₄×D₄	C₂³×C₁₃	1	2	yes	—
834	C₄×D₄	C₂³×C₁₃	1	2	yes	—
835	C₄×D₄	C₂³×C₁₃	1	2	yes	—
836	C₄×D₄	C₂³×C₁₃	1	2	yes	—
837	#117	—	2	2	no	—
838	#117	—	2	1	no	—
839	#117	—	2	1	no	—
840	#117	—	2	2	no	—
841	#117	—	2	2	no	—
842	#117	—	2	2	no	—
843	#117	D₄×C₁₃	1	2	yes	—
844	#117	D₄×C₁₃	1	1	yes	characteristic
845	#117	D₄×C₁₃	1	1	yes	characteristic
846	#117	C₂³×C₁₃	1	1	yes	characteristic
847	#117	C₂³×C₁₃	1	1	yes	characteristic
848	#117	C₂³×C₁₃	1	1	yes	characteristic
849	#117	C₂³×C₁₃	1	1	yes	characteristic
850	#117	C₂³×C₁₃	1	2	yes	—
851	C₂×C₄⋊C₄	—	2	1	no	—
852	C₂×C₄⋊C₄	—	2	1	no	—
853	C₂×C₄⋊C₄	—	2	1	no	—
854	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
855	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
856	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	—	2	1	no	—
859	C₂×C₂²⋊C₄	—	2	1	no	—
860	C₂×C₂²⋊C₄	—	2	2	no	—
861	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
862	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
863	#107	C₂³×C₁₃	1	1	yes	characteristic
864	#107	C₂³×C₁₃	1	1	yes	characteristic
865	#107	C₂³×C₁₃	1	2	yes	—
866	#107	C₂³×C₁₃	1	2	yes	—
867	#106	C₂³×C₁₃	1	2	yes	—
868	#106	C₂³×C₁₃	1	2	yes	—
869	#106	C₂³×C₁₃	1	1	yes	characteristic
870	#106	C₂³×C₁₃	1	1	yes	characteristic
871	#106	C₂³×C₁₃	1	2	yes	—
872	#106	C₂³×C₁₃	1	2	yes	—
873	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
874	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
875	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
876	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
877	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
878	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
879	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
880	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
881	#103	C₂³×C₁₃	1	2	yes	—
882	#103	C₂³×C₁₃	1	2	yes	—
883	#103	C₂³×C₁₃	1	1	yes	characteristic
884	#103	C₂³×C₁₃	1	1	yes	characteristic
885	#103	C₂³×C₁₃	1	1	yes	characteristic
886	#103	C₂³×C₁₃	1	1	yes	characteristic
887	#103	C₂³×C₁₃	1	2	yes	—
888	#103	C₂³×C₁₃	1	2	yes	—
889	#103	C₂³×C₁₃	1	2	yes	—
890	#103	C₂³×C₁₃	1	2	yes	—
891	#102	C₂³×C₁₃	1	2	yes	—
892	#102	C₂³×C₁₃	1	2	yes	—
893	#102	C₂³×C₁₃	1	1	yes	characteristic
894	#102	C₂³×C₁₃	1	1	yes	characteristic
895	#102	C₂³×C₁₃	1	1	yes	characteristic
896	#102	C₂³×C₁₃	1	1	yes	characteristic
897	#102	C₂³×C₁₃	1	2	yes	—
898	#102	C₂³×C₁₃	1	2	yes	—
899	#102	C₂³×C₁₃	1	2	yes	—
900	#102	C₂³×C₁₃	1	2	yes	—
901	C₂×C₁₃	—	2	2	no	—
902	C₂×C₁₃	—	2	2	no	—
903	C₂×C₁₃	—	4	1	no	—
904	C₂×C₁₃	—	8	1	no	—
905	C₂×C₁₃	—	8	1	no	—
906	C₂×C₁₃	—	8	2	no	—
907	C₂×C₁₃	C₂×#537	1	1	yes	characteristic
908	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
909	C₂×C₁₃	#3584	1	1	yes	characteristic
910	C₂⁴	—	2	1	no	—
911	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
912	#41	—	2	2	no	—
913	#41	—	2	2	no	—
914	#41	—	2	2	no	—
915	#41	—	2	2	no	—
916	#41	—	8	4	no	—
917	C₂×Q₈	—	2	1	no	—
918	C₂×Q₈	—	2	2	no	—
919	C₂×Q₈	—	2	2	no	—
920	C₂×Q₈	—	2	2	no	—
921	C₂×Q₈	—	2	2	no	—
922	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
923	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
924	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	2	1	no	—
927	C₂×D₄	—	2	1	no	—
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	1	no	—
931	C₂×D₄	—	2	1	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	1	no	—
934	C₂×D₄	—	2	2	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	2	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	8	2	no	—
939	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
940	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
941	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	—	2	1	no	—
945	C₂²×C₄	—	2	1	no	—
946	C₂²×C₄	—	2	1	no	—
947	C₂²×C₄	—	2	1	no	—
948	C₂²×C₄	—	2	1	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	2	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
954	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
955	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
956	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
957	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
958	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
959	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
961	Q₁₆	—	4	1	no	—
962	Q₁₆	—	4	2	no	—
963	SD₁₆	—	4	2	no	—
964	SD₁₆	—	4	2	no	—
965	SD₁₆	—	4	1	no	—
966	SD₁₆	—	4	1	no	—
967	SD₁₆	—	4	2	no	—
968	SD₁₆	—	4	2	no	—
969	D₈	—	4	1	no	—
970	D₈	—	4	2	no	—
971	M₁₆	—	2	2	no	—
972	M₁₆	—	2	2	no	—
973	M₁₆	—	4	2	no	—
974	C₂×C₈	—	2	2	no	—
975	C₂×C₈	—	2	2	no	—
976	C₂×C₈	—	4	1	no	—
977	C₂×C₈	—	4	1	no	—
978	C₂×C₈	—	4	1	no	—
979	C₂×C₈	—	4	1	no	—
980	C₂×C₈	—	4	2	no	—
981	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
982	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
983	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
984	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
985	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
986	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	1	no	—
1001	C₄⋊C₄	—	2	2	no	—
1002	C₄⋊C₄	—	2	2	no	—
1003	C₄⋊C₄	—	2	1	no	—
1004	C₄⋊C₄	—	2	2	no	—
1005	C₄⋊C₄	—	2	1	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1008	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1009	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1010	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1011	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1012	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1013	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1014	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1015	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1016	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1017	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1018	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1019	C₂²⋊C₄	—	2	1	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	1	no	—
1023	C₂²⋊C₄	—	2	1	no	—
1024	C₂²⋊C₄	—	2	1	no	—
1025	C₂²⋊C₄	—	2	1	no	—
1026	C₂²⋊C₄	—	2	1	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	1	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	2	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	1	no	—
1039	C₂²⋊C₄	—	2	1	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1042	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1043	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1044	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1045	C₄²	—	2	2	no	—
1046	C₄²	—	2	2	no	—
1047	C₄²	—	2	2	no	—
1048	C₄²	—	2	2	no	—
1049	C₄²	—	2	1	no	—
1050	C₄²	—	2	1	no	—
1051	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1052	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1053	C₄²	C₂⁴×C₁₃	1	2	yes	—
1054	C₄²	C₂⁴×C₁₃	1	2	yes	—
1055	C₁₃	#60935	1	1	yes	characteristic, direct product factor, Sylow
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	2	no	—
1058	C₂³	—	2	1	no	—
1059	C₂³	—	2	2	no	—
1060	C₂³	—	2	1	no	—
1061	C₂³	—	4	1	no	—
1062	C₂³	—	4	2	no	—
1063	C₂³	—	8	1	no	—
1064	C₂³	—	8	1	no	—
1065	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1066	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1067	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1068	Q₈	—	2	2	no	—
1069	Q₈	—	2	1	no	—
1070	Q₈	—	2	1	no	—
1071	Q₈	—	2	2	no	—
1072	Q₈	—	2	1	no	—
1073	Q₈	—	2	1	no	—
1074	Q₈	—	4	2	no	—
1075	Q₈	—	8	2	no	—
1076	Q₈	—	8	2	no	—
1077	D₄	—	2	1	no	—
1078	D₄	—	2	2	no	—
1079	D₄	—	2	1	no	—
1080	D₄	—	2	2	no	—
1081	D₄	—	2	1	no	—
1082	D₄	—	2	1	no	—
1083	D₄	—	4	2	no	—
1084	D₄	—	4	2	no	—
1085	D₄	—	4	4	no	—
1086	D₄	—	4	2	no	—
1087	D₄	—	4	2	no	—
1088	D₄	—	4	2	no	—
1089	D₄	—	8	2	no	—
1090	D₄	—	8	2	no	—
1091	D₄	—	8	2	no	—
1092	D₄	—	8	1	no	—
1093	D₄	—	8	1	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	4	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	4	2	no	—
1112	C₂×C₄	—	4	2	no	—
1113	C₂×C₄	—	4	2	no	—
1114	C₂×C₄	—	4	2	no	—
1115	C₂×C₄	—	8	2	no	—
1116	C₂×C₄	—	8	2	no	—
1117	C₂×C₄	—	8	2	no	—
1118	C₂×C₄	—	8	2	no	—
1119	C₂×C₄	—	8	1	no	—
1120	C₂×C₄	—	8	1	no	—
1121	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1122	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1123	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1124	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1125	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1126	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1127	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1128	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1129	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1130	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1131	C₈	—	2	1	no	—
1132	C₈	—	2	1	no	—
1133	C₈	—	2	1	no	—
1134	C₈	—	2	1	no	—
1135	C₈	—	2	2	no	—
1136	C₈	—	2	2	no	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	1	no	—
1139	C₂²	—	2	1	no	—
1140	C₂²	—	2	1	no	—
1141	C₂²	—	2	1	no	—
1142	C₂²	—	2	1	no	—
1143	C₂²	—	2	1	no	—
1144	C₂²	—	4	4	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	4	1	no	—
1148	C₂²	—	4	1	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	1	no	—
1153	C₂²	—	4	2	no	—
1154	C₂²	—	16	2	no	—
1155	C₂²	C₁₃×#537	1	2	yes	—
1156	C₂²	C₁₃×#577	1	2	yes	—
1157	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1158	C₄	—	2	2	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	2	no	—
1162	C₄	—	2	1	no	—
1163	C₄	—	2	1	no	—
1164	C₄	—	4	2	no	—
1165	C₄	—	4	1	no	—
1166	C₄	—	4	1	no	—
1167	C₄	—	4	1	no	—
1168	C₄	—	4	2	no	—
1169	C₄	—	4	1	no	—
1170	C₄	—	4	1	no	—
1171	C₄	—	4	1	no	—
1172	C₄	—	4	2	no	—
1173	C₄	C₁₃×#537	1	2	yes	—
1174	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1175	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1176	C₂	—	2	2	no	—
1177	C₂	—	2	2	no	—
1178	C₂	—	4	1	no	—
1179	C₂	—	8	2	no	—
1180	C₂	—	8	1	no	—
1181	C₂	—	8	1	no	—
1182	C₂	C₂×C₁₃×#537	1	1	yes	characteristic
1183	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1184	C₂	C₁₃×#3584	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 ◁ C₂×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3495	C₂	semidirect
2. C₁₃×#3494	C₂	semidirect
3. C₁₃×#3263	C₂	semidirect
4. C₁₃×#3260	C₂	semidirect
5. C₁₃×#3258	C₂	semidirect
6. C₁₃×#3257	C₂	semidirect
7. C₁₃×#3250	C₂	semidirect
8. C₁₃×#3248	C₂	semidirect
9. C₁₃×#3247	C₂	semidirect
10. C₁₃×#3246	C₂	semidirect
11. C₁₃×#3084	C₂	semidirect
12. C₁₃×#3084	C₂	semidirect
13. C₁₃×#3082	C₂	semidirect
14. C₁₃×#3081	C₂	semidirect
15. C₁₃×#3056	C₂	semidirect
16. C₁₃×#3055	C₂	semidirect
17. C₁₃×#3050	C₂	semidirect
18. C₂×C₁₃×#465	C₂	semidirect
19. C₁₃×#3046	C₂	semidirect
20. C₁₃×#3045	C₂	semidirect
21. C₁₃×#3043	C₂	semidirect
22. C₁₃×#3042	C₂	semidirect
23. C₂×C₁₃×#424	C₂	semidirect
45. C₁₃×#542	C₂²	semidirect
46. C₁₃×#541	C₂²	semidirect
50. C₁₃×#533	C₂²	semidirect
53. C₁₃×#529	C₂²	semidirect
63. C₁₃×#479	C₂²	semidirect
64. C₁₃×#479	C₂²	semidirect
65. C₁₃×#479	C₂²	semidirect
66. C₁₃×#479	C₂²	semidirect
67. C₁₃×#478	C₂²	semidirect
68. C₁₃×#478	C₂²	semidirect
69. C₁₃×#478	C₂²	semidirect
70. C₁₃×#478	C₂²	semidirect
71. C₁₃×#477	C₂²	semidirect
72. C₁₃×#476	C₂²	semidirect
73. C₁₃×#476	C₂²	semidirect
74. C₁₃×#476	C₂²	semidirect
75. C₁₃×#475	C₂²	semidirect
76. C₁₃×#475	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
78. C₁₃×#474	C₂²	semidirect
79. C₁₃×#470	C₂²	semidirect
82. C₁₃×#468	C₂²	semidirect
83. C₁₃×#467	C₂²	semidirect
84. C₁₃×#467	C₂²	semidirect
85. C₁₃×#467	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#466	C₂²	semidirect
94. C₁₃×#465	C₂²	semidirect
95. C₁₃×#465	C₂²	semidirect
96. C₁₃×#465	C₂²	semidirect
97. C₁₃×#465	C₂²	semidirect
98. C₁₃×#465	C₂²	semidirect
99. C₁₃×#464	C₂²	semidirect
100. C₁₃×#464	C₂²	semidirect
101. C₁₃×#464	C₂²	semidirect
102. C₁₃×#464	C₂²	semidirect
103. C₁₃×#463	C₂²	semidirect
104. C₁₃×#463	C₂²	semidirect
105. C₁₃×#463	C₂²	semidirect
106. C₁₃×#463	C₂²	semidirect
107. C₁₃×#462	C₂²	semidirect
108. C₁₃×#461	C₂²	semidirect
109. C₁₃×#461	C₂²	semidirect
110. C₁₃×#461	C₂²	semidirect
111. C₁₃×#460	C₂²	semidirect
112. C₁₃×#460	C₂²	semidirect
113. C₁₃×#460	C₂²	semidirect
114. C₁₃×#459	C₂²	semidirect
123. C₁₃×#424	C₂²	semidirect
124. C₁₃×#424	C₂²	semidirect
125. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
126. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
318. #60935	C₁₃	direct (N × H)
464. #3495	C₂×C₁₃	semidirect
465. #3494	C₂×C₁₃	semidirect
466. #3263	C₂×C₁₃	semidirect
467. #3260	C₂×C₁₃	semidirect
468. #3258	C₂×C₁₃	semidirect
469. #3257	C₂×C₁₃	semidirect
470. #3250	C₂×C₁₃	semidirect
471. #3248	C₂×C₁₃	semidirect
472. #3247	C₂×C₁₃	semidirect
473. #3246	C₂×C₁₃	semidirect
474. #3084	C₂×C₁₃	semidirect
475. #3084	C₂×C₁₃	semidirect
476. #3082	C₂×C₁₃	semidirect
477. #3081	C₂×C₁₃	semidirect
478. #3056	C₂×C₁₃	semidirect
479. #3055	C₂×C₁₃	semidirect
480. #3050	C₂×C₁₃	semidirect
481. C₂×#465	C₂×C₁₃	semidirect
482. #3046	C₂×C₁₃	semidirect
483. #3045	C₂×C₁₃	semidirect
484. #3043	C₂×C₁₃	semidirect
485. #3042	C₂×C₁₃	semidirect
486. C₂×#424	C₂×C₁₃	semidirect
589. #542	C₂²×C₁₃	semidirect
590. #541	C₂²×C₁₃	semidirect
594. #533	C₂²×C₁₃	semidirect
597. #529	C₂²×C₁₃	semidirect
607. #479	C₂²×C₁₃	semidirect
608. #479	C₂²×C₁₃	semidirect
609. #479	C₂²×C₁₃	semidirect
610. #479	C₂²×C₁₃	semidirect
611. #478	C₂²×C₁₃	semidirect
612. #478	C₂²×C₁₃	semidirect
613. #478	C₂²×C₁₃	semidirect
614. #478	C₂²×C₁₃	semidirect
615. #477	C₂²×C₁₃	semidirect
616. #476	C₂²×C₁₃	semidirect
617. #476	C₂²×C₁₃	semidirect
618. #476	C₂²×C₁₃	semidirect
619. #475	C₂²×C₁₃	semidirect
620. #475	C₂²×C₁₃	semidirect
621. #475	C₂²×C₁₃	semidirect
622. #474	C₂²×C₁₃	semidirect
623. #470	C₂²×C₁₃	semidirect
626. #468	C₂²×C₁₃	semidirect
627. #467	C₂²×C₁₃	semidirect
628. #467	C₂²×C₁₃	semidirect
629. #467	C₂²×C₁₃	semidirect
631. #466	C₂²×C₁₃	semidirect
632. #466	C₂²×C₁₃	semidirect
638. #465	C₂²×C₁₃	semidirect
639. #465	C₂²×C₁₃	semidirect
640. #465	C₂²×C₁₃	semidirect
641. #465	C₂²×C₁₃	semidirect
642. #465	C₂²×C₁₃	semidirect
643. #464	C₂²×C₁₃	semidirect
644. #464	C₂²×C₁₃	semidirect
645. #464	C₂²×C₁₃	semidirect
646. #464	C₂²×C₁₃	semidirect
647. #463	C₂²×C₁₃	semidirect
648. #463	C₂²×C₁₃	semidirect
649. #463	C₂²×C₁₃	semidirect
650. #463	C₂²×C₁₃	semidirect
651. #462	C₂²×C₁₃	semidirect
652. #461	C₂²×C₁₃	semidirect
653. #461	C₂²×C₁₃	semidirect
654. #461	C₂²×C₁₃	semidirect
655. #460	C₂²×C₁₃	semidirect
656. #460	C₂²×C₁₃	semidirect
657. #460	C₂²×C₁₃	semidirect
658. #459	C₂²×C₁₃	semidirect
667. #424	C₂²×C₁₃	semidirect
668. #424	C₂²×C₁₃	semidirect
669. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
670. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1055. C₁₃	#60935	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×#3495	2
C₁₃×#3494	2
C₁₃×#3263	2
C₁₃×#3260	2
C₁₃×#3258	2
C₁₃×#3257	2
C₁₃×#3250	2
C₁₃×#3248	2
C₁₃×#3247	2
C₁₃×#3246	2
C₁₃×#3084	2
C₁₃×#3082	2
C₁₃×#3081	2
C₁₃×#3056	2
C₁₃×#3055	2
C₁₃×#3050	2
C₂×C₁₃×#465	2
C₁₃×#3046	2
C₁₃×#3045	2
C₁₃×#3043	2
C₁₃×#3042	2
C₂×C₁₃×#424	2
#60935	13

Subgroups — C13×#60935 #15747274

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60935 #15747274