Subgroups — C₁₃×#61659 #15747998

Order 3328.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1228 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3332	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3328	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3326	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3304	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3301	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3287	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
11	D₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3275	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3207	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3204	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3108	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3103	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3013	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3010	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2979	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
25	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
26	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
27	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
28	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
29	C₁₃×#560	—	2	2	no	—
30	C₁₃×#556	C₂²	1	1	yes	characteristic
31	C₁₃×#553	C₂²	1	2	yes	—
32	C₁₃×#550	—	2	1	no	—
33	C₁₃×#550	—	2	1	no	—
34	C₁₃×#550	C₂²	1	1	yes	characteristic
35	C₁₃×#550	C₂²	1	1	yes	characteristic
36	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
37	D₄×Q₈×C₁₃	—	2	1	no	—
38	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#548	—	2	2	no	—
41	C₁₃×#548	C₂²	1	2	yes	complemented
42	C₁₃×#548	C₂²	1	2	yes	complemented
43	C₁₃×#547	C₂²	1	1	yes	characteristic
44	C₁₃×#546	—	2	1	no	—
45	C₁₃×#546	C₂²	1	2	yes	—
46	D₄²×C₁₃	C₂²	1	1	yes	characteristic
47	C₁₃×#542	—	2	1	no	—
48	C₁₃×#538	—	2	2	no	—
49	C₁₃×#537	—	2	2	no	—
50	C₁₃×#537	C₂²	1	2	yes	—
51	C₁₃×#537	C₂²	1	2	yes	complemented
52	C₁₃×#535	—	2	1	no	—
53	C₁₃×#535	C₂²	1	2	yes	—
54	C₁₃×#532	—	2	1	no	—
55	C₁₃×#532	—	2	1	no	—
56	C₁₃×#532	C₂²	1	1	yes	characteristic
57	C₁₃×#532	C₂²	1	1	yes	characteristic
58	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#529	C₂²	1	1	yes	characteristic
60	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#495	C₂²	1	2	yes	—
62	C₁₃×#493	C₂²	1	1	yes	characteristic
63	C₁₃×#492	C₂²	1	1	yes	characteristic
64	C₁₃×#488	C₂²	1	2	yes	complemented
65	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#483	C₂²	1	2	yes	complemented
69	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#482	C₂²	1	2	yes	complemented
71	C₁₃×#481	C₂²	1	2	yes	complemented
72	C₁₃×#481	C₂²	1	2	yes	complemented
73	C₁₃×#480	C₂²	1	1	yes	characteristic
74	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#470	C₂²	1	2	yes	complemented
79	C₁₃×#469	C₂²	1	2	yes	—
80	C₁₃×#469	C₂²	1	2	yes	—
81	C₁₃×#468	C₂²	1	2	yes	complemented
82	C₁₃×#466	C₂²	1	2	yes	complemented
83	C₁₃×#465	C₂²	1	2	yes	—
84	C₁₃×#465	C₂²	1	2	yes	—
85	C₁₃×#465	C₂²	1	2	yes	complemented
86	C₁₃×#464	C₂²	1	1	yes	characteristic
87	C₁₃×#464	C₂²	1	1	yes	characteristic
88	C₁₃×#463	C₂²	1	2	yes	complemented
89	C₁₃×#463	C₂²	1	2	yes	complemented
90	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#461	C₂²	1	1	yes	characteristic
92	C₁₃×#460	C₂²	1	1	yes	characteristic
93	C₁₃×#460	C₂²	1	1	yes	characteristic
94	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#459	C₂²	1	1	yes	characteristic
96	C₁₃×#452	C₂²	1	2	yes	complemented
97	C₁₃×#452	C₂²	1	2	yes	complemented
98	C₁₃×#452	C₂²	1	2	yes	complemented
99	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#451	C₂²	1	2	yes	complemented
101	C₁₃×#450	C₂²	1	2	yes	—
102	C₁₃×#449	C₂²	1	2	yes	—
103	C₁₃×#449	C₂²	1	2	yes	—
104	C₁₃×#449	C₂²	1	2	yes	—
105	C₁₃×#449	C₂²	1	2	yes	complemented
106	C₁₃×#449	C₂²	1	2	yes	complemented
107	C₁₃×#449	C₂²	1	2	yes	complemented
108	C₁₃×#449	C₂²	1	2	yes	complemented
109	C₁₃×#448	C₂²	1	1	yes	characteristic
110	C₁₃×#448	C₂²	1	2	yes	—
111	C₁₃×#448	C₂²	1	2	yes	—
112	C₁₃×#448	C₂²	1	2	yes	complemented
113	C₁₃×#448	C₂²	1	2	yes	complemented
114	C₁₃×#447	C₂²	1	2	yes	—
115	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
117	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
120	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
121	C₁₃×#436	C₂²	1	1	yes	characteristic
122	C₁₃×#436	C₂²	1	2	yes	complemented
123	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
124	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
125	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
126	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#419	C₂²	1	2	yes	complemented
130	C₁₃×#417	C₂²	1	2	yes	complemented
131	C₁₃×#416	C₂²	1	2	yes	complemented
132	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
133	C₁₃×#408	C₂²	1	2	yes	complemented
134	C₁₃×#408	C₂²	1	2	yes	complemented
135	C₁₃×2₋¹⁺⁴	—	4	4	no	—
136	C₁₃×2₋¹⁺⁴	—	4	4	no	—
137	C₂×C₁₃×#41	—	2	2	no	—
138	C₂×C₁₃×#41	—	2	2	no	—
139	C₂×C₁₃×#41	—	2	2	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	C₂³	1	2	yes	—
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂×C₁₃×#41	C₂³	1	2	yes	—
145	C₂×C₁₃×#41	C₂³	1	2	yes	—
146	C₂×C₁₃×#41	C₂³	1	2	yes	—
147	C₂²×Q₈×C₁₃	—	2	2	no	—
148	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
149	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
150	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
151	C₂²×D₄×C₁₃	—	2	1	no	—
152	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
153	C₁₃×#137	—	4	4	no	—
154	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
155	C₁₃×#135	—	4	4	no	—
156	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	—	4	4	no	—
160	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
162	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
163	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
164	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
165	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
166	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
167	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
168	C₂×C₁₃×D₈	C₂³	1	2	yes	—
169	C₂×C₁₃×D₈	C₂³	1	2	yes	—
170	C₂×C₁₃×D₈	C₂³	1	2	yes	—
171	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
172	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
173	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
174	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
175	C₁₃×C₄⋊Q₈	—	2	1	no	—
176	C₁₃×C₄⋊Q₈	—	2	1	no	—
177	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
178	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
179	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
180	C₁₃×#127	—	2	1	no	—
181	C₁₃×#127	—	2	1	no	—
182	C₁₃×#127	—	2	1	no	—
183	C₁₃×#127	—	2	2	no	—
184	C₁₃×#127	D₄	1	1	yes	characteristic
185	C₁₃×#127	C₂³	1	1	yes	characteristic
186	C₁₃×#127	C₂³	1	1	yes	characteristic
187	C₁₃×#126	—	2	2	no	—
188	C₁₃×#126	—	2	2	no	—
189	C₁₃×#126	—	2	1	no	—
190	C₁₃×#125	C₂³	1	1	yes	characteristic
191	C₁₃×#124	—	2	2	no	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	—	2	2	no	—
194	C₁₃×#124	—	2	2	no	—
195	C₁₃×#124	—	2	1	no	—
196	C₁₃×#124	D₄	1	2	yes	—
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	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	1	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	2	yes	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	2	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	1	no	—
224	C₁₃×#121	—	2	1	no	—
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	2	no	—
231	C₁₃×#121	D₄	1	1	yes	characteristic
232	C₁₃×#121	D₄	1	1	yes	characteristic
233	C₁₃×#121	D₄	1	2	yes	—
234	C₁₃×#121	C₂³	1	2	yes	—
235	C₁₃×#121	C₂³	1	1	yes	characteristic
236	C₁₃×#121	C₂³	1	2	yes	—
237	C₁₃×#121	C₂³	1	2	yes	—
238	C₁₃×#121	C₂³	1	2	yes	—
239	C₁₃×#121	C₂³	1	2	yes	—
240	C₁₃×#121	C₂³	1	2	yes	—
241	C₁₃×#120	—	2	2	no	—
242	C₁₃×#120	—	2	2	no	—
243	C₁₃×#120	—	2	2	no	—
244	C₁₃×#120	—	2	2	no	—
245	C₄×Q₈×C₁₃	—	2	1	no	—
246	C₄×Q₈×C₁₃	—	2	1	no	—
247	C₄×Q₈×C₁₃	—	2	1	no	—
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	2	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	C₂³	1	1	yes	characteristic
266	C₄×D₄×C₁₃	C₂³	1	2	yes	—
267	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
268	C₄×D₄×C₁₃	C₂³	1	2	yes	—
269	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#117	—	2	1	no	—
271	C₁₃×#117	C₂³	1	2	yes	—
272	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
273	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
274	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
276	C₂×C₄²×C₁₃	—	2	1	no	—
277	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
278	C₁₃×#107	C₂³	1	1	yes	characteristic
279	C₁₃×#107	C₂³	1	1	yes	characteristic
280	C₁₃×#106	C₂³	1	1	yes	characteristic
281	C₁₃×#106	C₂³	1	1	yes	characteristic
282	C₁₃×#106	C₂³	1	2	yes	—
283	C₁₃×#106	C₂³	1	2	yes	—
284	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#103	C₂³	1	1	yes	characteristic
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	1	yes	characteristic
299	C₁₃×#103	C₂³	1	1	yes	characteristic
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×#102	C₂³	1	1	yes	characteristic
305	C₁₃×#102	C₂³	1	1	yes	characteristic
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
314	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
315	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
316	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
317	C₄×C₈×C₁₃	C₂³	1	2	yes	—
318	#61659	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
319	C₂⁴×C₁₃	—	2	2	no	—
320	C₁₃×#41	—	2	4	no	—
321	C₁₃×#41	—	2	4	no	—
322	C₁₃×#41	—	4	2	no	—
323	C₁₃×#41	—	4	2	no	—
324	C₁₃×#41	—	4	2	no	—
325	C₁₃×#41	—	4	2	no	—
326	C₁₃×#41	—	4	2	no	—
327	C₁₃×#41	—	4	2	no	—
328	C₁₃×#41	—	4	8	no	—
329	C₁₃×#41	—	4	8	no	—
330	C₁₃×#41	—	4	2	no	—
331	C₁₃×#41	—	4	2	no	—
332	C₁₃×#41	—	4	8	no	—
333	C₁₃×#41	—	8	2	no	—
334	C₁₃×#41	—	8	2	no	—
335	C₂×Q₈×C₁₃	—	2	2	no	—
336	C₂×Q₈×C₁₃	—	2	2	no	—
337	C₂×Q₈×C₁₃	—	2	1	no	—
338	C₂×Q₈×C₁₃	—	2	1	no	—
339	C₂×Q₈×C₁₃	—	2	2	no	—
340	C₂×Q₈×C₁₃	—	2	2	no	—
341	C₂×Q₈×C₁₃	—	2	4	no	—
342	C₂×Q₈×C₁₃	—	2	4	no	—
343	C₂×Q₈×C₁₃	—	4	2	no	—
344	C₂×Q₈×C₁₃	—	4	2	no	—
345	C₂×Q₈×C₁₃	—	4	8	no	—
346	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
347	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
348	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×D₄×C₁₃	—	2	2	no	—
352	C₂×D₄×C₁₃	—	2	2	no	—
353	C₂×D₄×C₁₃	—	2	2	no	—
354	C₂×D₄×C₁₃	—	2	1	no	—
355	C₂×D₄×C₁₃	—	2	2	no	—
356	C₂×D₄×C₁₃	—	2	2	no	—
357	C₂×D₄×C₁₃	—	2	2	no	—
358	C₂×D₄×C₁₃	—	2	2	no	—
359	C₂×D₄×C₁₃	—	2	2	no	—
360	C₂×D₄×C₁₃	—	2	2	no	—
361	C₂×D₄×C₁₃	—	2	2	no	—
362	C₂×D₄×C₁₃	—	2	1	no	—
363	C₂×D₄×C₁₃	—	2	1	no	—
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	2	1	no	—
366	C₂×D₄×C₁₃	—	2	2	no	—
367	C₂×D₄×C₁₃	—	4	2	no	—
368	C₂×D₄×C₁₃	—	4	2	no	—
369	C₂×D₄×C₁₃	—	8	2	no	—
370	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
371	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
372	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
373	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
374	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
375	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
376	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
377	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
379	C₂²×C₄×C₁₃	—	2	1	no	—
380	C₂²×C₄×C₁₃	—	2	2	no	—
381	C₂²×C₄×C₁₃	—	2	2	no	—
382	C₂²×C₄×C₁₃	—	2	1	no	—
383	C₂²×C₄×C₁₃	—	2	2	no	—
384	C₂²×C₄×C₁₃	—	2	1	no	—
385	C₂²×C₄×C₁₃	—	2	2	no	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	—	2	2	no	—
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	2	2	no	—
390	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
394	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
395	C₁₃×Q₁₆	—	2	2	no	—
396	C₁₃×Q₁₆	—	2	2	no	—
397	C₁₃×Q₁₆	—	4	2	no	—
398	C₁₃×SD₁₆	—	2	2	no	—
399	C₁₃×SD₁₆	—	2	4	no	—
400	C₁₃×SD₁₆	—	2	2	no	—
401	C₁₃×SD₁₆	—	2	4	no	—
402	C₁₃×SD₁₆	—	4	2	no	—
403	C₁₃×SD₁₆	—	4	2	no	—
404	C₁₃×SD₁₆	—	4	2	no	—
405	C₁₃×SD₁₆	—	4	2	no	—
406	C₁₃×D₈	—	4	2	no	—
407	C₁₃×D₈	—	4	2	no	—
408	C₁₃×D₈	—	4	2	no	—
409	C₁₃×M₁₆	—	4	2	no	—
410	C₁₃×M₁₆	—	4	2	no	—
411	C₂×C₈×C₁₃	—	4	2	no	—
412	C₂×C₈×C₁₃	—	4	2	no	—
413	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
416	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
417	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
418	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₁₃×C₄⋊C₄	—	2	1	no	—
420	C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₁₃×C₄⋊C₄	—	2	1	no	—
422	C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₁₃×C₄⋊C₄	—	2	1	no	—
424	C₁₃×C₄⋊C₄	—	2	2	no	—
425	C₁₃×C₄⋊C₄	—	2	1	no	—
426	C₁₃×C₄⋊C₄	—	2	1	no	—
427	C₁₃×C₄⋊C₄	—	2	1	no	—
428	C₁₃×C₄⋊C₄	—	2	1	no	—
429	C₁₃×C₄⋊C₄	—	2	1	no	—
430	C₁₃×C₄⋊C₄	—	2	2	no	—
431	C₁₃×C₄⋊C₄	—	2	2	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	2	no	—
434	C₁₃×C₄⋊C₄	—	2	1	no	—
435	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
436	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
437	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
438	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
439	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
440	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
441	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
442	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	no	—
448	C₁₃×C₂²⋊C₄	—	2	1	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	—	2	1	no	—
451	C₁₃×C₂²⋊C₄	—	2	1	no	—
452	C₁₃×C₂²⋊C₄	—	2	2	no	—
453	C₁₃×C₂²⋊C₄	—	2	2	no	—
454	C₁₃×C₂²⋊C₄	—	2	2	no	—
455	C₁₃×C₂²⋊C₄	—	2	2	no	—
456	C₁₃×C₂²⋊C₄	—	2	2	no	—
457	C₁₃×C₂²⋊C₄	—	2	2	no	—
458	C₁₃×C₂²⋊C₄	—	2	2	no	—
459	C₁₃×C₂²⋊C₄	—	2	1	no	—
460	C₁₃×C₂²⋊C₄	—	2	2	no	—
461	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
462	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
463	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
464	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
465	C₄²×C₁₃	—	2	1	no	—
466	C₄²×C₁₃	—	2	1	no	—
467	C₄²×C₁₃	—	2	1	no	—
468	C₄²×C₁₃	—	2	1	no	—
469	C₄²×C₁₃	—	2	1	no	—
470	C₄²×C₁₃	—	2	2	no	—
471	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
472	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
473	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
474	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
475	#3546	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3497	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#3332	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3328	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3326	C₂×C₁₃	1	2	yes	complemented
480	#3304	C₂×C₁₃	1	1	yes	characteristic, complemented
481	#3301	C₂×C₁₃	1	2	yes	complemented
482	#3298	C₂×C₁₃	1	1	yes	characteristic, complemented
483	#3287	C₂×C₁₃	1	1	yes	characteristic, complemented
484	#3282	C₂×C₁₃	1	2	yes	complemented
485	D₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
486	#3278	C₂×C₁₃	1	1	yes	characteristic, complemented
487	#3275	C₂×C₁₃	1	2	yes	complemented
488	#3274	C₂×C₁₃	1	1	yes	characteristic, complemented
489	#3212	C₂×C₁₃	1	1	yes	characteristic, complemented
490	#3207	C₂×C₁₃	1	1	yes	characteristic, complemented
491	#3204	C₂×C₁₃	1	2	yes	complemented
492	#3198	C₂×C₁₃	1	2	yes	complemented
493	#3108	C₂×C₁₃	1	1	yes	characteristic, complemented
494	#3103	C₂×C₁₃	1	1	yes	characteristic, complemented
495	#3013	C₂×C₁₃	1	2	yes	complemented
496	#3010	C₂×C₁₃	1	2	yes	complemented
497	#2979	C₂×C₁₃	1	1	yes	characteristic, complemented
498	C₂³×C₁₃	—	2	1	no	—
499	C₂³×C₁₃	—	2	2	no	—
500	C₂³×C₁₃	—	2	2	no	—
501	C₂³×C₁₃	—	8	2	no	—
502	C₂³×C₁₃	—	8	2	no	—
503	C₂³×C₁₃	—	8	2	no	—
504	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
505	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
506	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
507	Q₈×C₁₃	—	2	4	no	—
508	Q₈×C₁₃	—	2	1	no	—
509	Q₈×C₁₃	—	2	1	no	—
510	Q₈×C₁₃	—	2	1	no	—
511	Q₈×C₁₃	—	2	2	no	—
512	Q₈×C₁₃	—	2	2	no	—
513	Q₈×C₁₃	—	2	1	no	—
514	Q₈×C₁₃	—	4	2	no	—
515	Q₈×C₁₃	—	4	4	no	—
516	Q₈×C₁₃	—	4	4	no	—
517	Q₈×C₁₃	—	4	2	no	—
518	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
519	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
520	D₄×C₁₃	—	2	2	no	—
521	D₄×C₁₃	—	2	2	no	—
522	D₄×C₁₃	—	2	1	no	—
523	D₄×C₁₃	—	2	2	no	—
524	D₄×C₁₃	—	2	2	no	—
525	D₄×C₁₃	—	2	2	no	—
526	D₄×C₁₃	—	2	2	no	—
527	D₄×C₁₃	—	2	1	no	—
528	D₄×C₁₃	—	4	2	no	—
529	D₄×C₁₃	—	4	2	no	—
530	D₄×C₁₃	—	4	2	no	—
531	D₄×C₁₃	—	4	2	no	—
532	D₄×C₁₃	—	4	4	no	—
533	D₄×C₁₃	—	4	4	no	—
534	D₄×C₁₃	—	4	4	no	—
535	D₄×C₁₃	—	4	2	no	—
536	D₄×C₁₃	—	4	2	no	—
537	D₄×C₁₃	—	8	1	no	—
538	D₄×C₁₃	—	8	1	no	—
539	D₄×C₁₃	—	8	2	no	—
540	D₄×C₁₃	—	8	2	no	—
541	D₄×C₁₃	—	8	2	no	—
542	D₄×C₁₃	—	8	1	no	—
543	D₄×C₁₃	—	8	2	no	—
544	D₄×C₁₃	—	8	2	no	—
545	D₄×C₁₃	—	8	2	no	—
546	D₄×C₁₃	—	8	2	no	—
547	D₄×C₁₃	—	8	2	no	—
548	C₂×C₄×C₁₃	—	2	4	no	—
549	C₂×C₄×C₁₃	—	2	1	no	—
550	C₂×C₄×C₁₃	—	2	1	no	—
551	C₂×C₄×C₁₃	—	2	2	no	—
552	C₂×C₄×C₁₃	—	2	2	no	—
553	C₂×C₄×C₁₃	—	2	2	no	—
554	C₂×C₄×C₁₃	—	2	2	no	—
555	C₂×C₄×C₁₃	—	2	2	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	2	2	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	2	no	—
565	C₂×C₄×C₁₃	—	4	1	no	—
566	C₂×C₄×C₁₃	—	4	4	no	—
567	C₂×C₄×C₁₃	—	4	4	no	—
568	C₂×C₄×C₁₃	—	4	4	no	—
569	C₂×C₄×C₁₃	—	4	4	no	—
570	C₂×C₄×C₁₃	—	4	4	no	—
571	C₂×C₄×C₁₃	—	4	2	no	—
572	C₂×C₄×C₁₃	—	8	2	no	—
573	C₂×C₄×C₁₃	—	8	2	no	—
574	C₂×C₄×C₁₃	—	8	1	no	—
575	C₂×C₄×C₁₃	—	8	2	no	—
576	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
577	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
578	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
579	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
580	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
581	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
582	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
583	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
584	C₈×C₁₃	—	2	1	no	—
585	C₈×C₁₃	—	2	1	no	—
586	C₈×C₁₃	—	2	2	no	—
587	C₈×C₁₃	—	2	1	no	—
588	C₈×C₁₃	—	2	2	no	—
589	C₈×C₁₃	—	2	1	no	—
590	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
591	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
592	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
593	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
594	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
595	#560	—	2	2	no	—
596	#556	C₂²×C₁₃	1	1	yes	characteristic
597	#553	C₂²×C₁₃	1	2	yes	—
598	#550	—	2	1	no	—
599	#550	—	2	1	no	—
600	#550	C₂²×C₁₃	1	1	yes	characteristic
601	#550	C₂²×C₁₃	1	1	yes	characteristic
602	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	D₄×Q₈	—	2	1	no	—
604	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
605	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
606	#548	—	2	2	no	—
607	#548	C₂²×C₁₃	1	2	yes	complemented
608	#548	C₂²×C₁₃	1	2	yes	complemented
609	#547	C₂²×C₁₃	1	1	yes	characteristic
610	#546	—	2	1	no	—
611	#546	C₂²×C₁₃	1	2	yes	—
612	D₄²	C₂²×C₁₃	1	1	yes	characteristic
613	#542	—	2	1	no	—
614	#538	—	2	2	no	—
615	#537	—	2	2	no	—
616	#537	C₂²×C₁₃	1	2	yes	—
617	#537	C₂²×C₁₃	1	2	yes	complemented
618	#535	—	2	1	no	—
619	#535	C₂²×C₁₃	1	2	yes	—
620	#532	—	2	1	no	—
621	#532	—	2	1	no	—
622	#532	C₂²×C₁₃	1	1	yes	characteristic
623	#532	C₂²×C₁₃	1	1	yes	characteristic
624	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
625	#529	C₂²×C₁₃	1	1	yes	characteristic
626	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#495	C₂²×C₁₃	1	2	yes	—
628	#493	C₂²×C₁₃	1	1	yes	characteristic
629	#492	C₂²×C₁₃	1	1	yes	characteristic
630	#488	C₂²×C₁₃	1	2	yes	complemented
631	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
632	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#485	C₂²×C₁₃	1	2	yes	complemented
634	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	#483	C₂²×C₁₃	1	2	yes	complemented
636	#482	C₂²×C₁₃	1	2	yes	complemented
637	#481	C₂²×C₁₃	1	2	yes	complemented
638	#481	C₂²×C₁₃	1	2	yes	complemented
639	#480	C₂²×C₁₃	1	1	yes	characteristic
640	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	#470	C₂²×C₁₃	1	2	yes	complemented
645	#469	C₂²×C₁₃	1	2	yes	—
646	#469	C₂²×C₁₃	1	2	yes	—
647	#468	C₂²×C₁₃	1	2	yes	complemented
648	#466	C₂²×C₁₃	1	2	yes	complemented
649	#465	C₂²×C₁₃	1	2	yes	—
650	#465	C₂²×C₁₃	1	2	yes	—
651	#465	C₂²×C₁₃	1	2	yes	complemented
652	#464	C₂²×C₁₃	1	1	yes	characteristic
653	#464	C₂²×C₁₃	1	1	yes	characteristic
654	#463	C₂²×C₁₃	1	2	yes	complemented
655	#463	C₂²×C₁₃	1	2	yes	complemented
656	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	#461	C₂²×C₁₃	1	1	yes	characteristic
658	#460	C₂²×C₁₃	1	1	yes	characteristic
659	#460	C₂²×C₁₃	1	1	yes	characteristic
660	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#459	C₂²×C₁₃	1	1	yes	characteristic
662	#452	C₂²×C₁₃	1	2	yes	complemented
663	#452	C₂²×C₁₃	1	2	yes	complemented
664	#452	C₂²×C₁₃	1	2	yes	complemented
665	#451	C₂²×C₁₃	1	2	yes	complemented
666	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	#450	C₂²×C₁₃	1	2	yes	—
668	#449	C₂²×C₁₃	1	2	yes	—
669	#449	C₂²×C₁₃	1	2	yes	—
670	#449	C₂²×C₁₃	1	2	yes	—
671	#449	C₂²×C₁₃	1	2	yes	complemented
672	#449	C₂²×C₁₃	1	2	yes	complemented
673	#449	C₂²×C₁₃	1	2	yes	complemented
674	#449	C₂²×C₁₃	1	2	yes	complemented
675	#448	C₂²×C₁₃	1	1	yes	characteristic
676	#448	C₂²×C₁₃	1	2	yes	—
677	#448	C₂²×C₁₃	1	2	yes	—
678	#448	C₂²×C₁₃	1	2	yes	complemented
679	#448	C₂²×C₁₃	1	2	yes	complemented
680	#447	C₂²×C₁₃	1	2	yes	—
681	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
682	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
684	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
685	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
686	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
687	#436	C₂²×C₁₃	1	1	yes	characteristic
688	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
689	#436	C₂²×C₁₃	1	2	yes	complemented
690	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
691	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
692	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
693	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
694	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
695	#419	C₂²×C₁₃	1	2	yes	complemented
696	#417	C₂²×C₁₃	1	2	yes	complemented
697	#416	C₂²×C₁₃	1	2	yes	complemented
698	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
699	#408	C₂²×C₁₃	1	2	yes	complemented
700	#408	C₂²×C₁₃	1	2	yes	complemented
701	C₂²×C₁₃	—	2	1	no	—
702	C₂²×C₁₃	—	2	2	no	—
703	C₂²×C₁₃	—	2	2	no	—
704	C₂²×C₁₃	—	2	1	no	—
705	C₂²×C₁₃	—	2	2	no	—
706	C₂²×C₁₃	—	2	2	no	—
707	C₂²×C₁₃	—	2	1	no	—
708	C₂²×C₁₃	—	2	2	no	—
709	C₂²×C₁₃	—	2	2	no	—
710	C₂²×C₁₃	—	4	2	no	—
711	C₂²×C₁₃	—	4	2	no	—
712	C₂²×C₁₃	—	4	1	no	—
713	C₂²×C₁₃	—	4	2	no	—
714	C₂²×C₁₃	—	4	2	no	—
715	C₂²×C₁₃	—	4	1	no	—
716	C₂²×C₁₃	—	4	1	no	—
717	C₂²×C₁₃	—	4	2	no	—
718	C₂²×C₁₃	—	4	2	no	—
719	C₂²×C₁₃	—	16	4	no	—
720	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
721	C₄×C₁₃	—	2	1	no	—
722	C₄×C₁₃	—	2	1	no	—
723	C₄×C₁₃	—	2	2	no	—
724	C₄×C₁₃	—	2	2	no	—
725	C₄×C₁₃	—	2	1	no	—
726	C₄×C₁₃	—	2	2	no	—
727	C₄×C₁₃	—	2	2	no	—
728	C₄×C₁₃	—	2	1	no	—
729	C₄×C₁₃	—	4	1	no	—
730	C₄×C₁₃	—	4	1	no	—
731	C₄×C₁₃	—	4	1	no	—
732	C₄×C₁₃	—	4	2	no	—
733	C₄×C₁₃	—	4	1	no	—
734	C₄×C₁₃	—	4	1	no	—
735	C₄×C₁₃	—	4	2	no	—
736	C₄×C₁₃	#577	1	2	yes	—
737	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
738	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
739	2₋¹⁺⁴	—	4	4	no	—
740	2₋¹⁺⁴	—	4	4	no	—
741	C₂×#41	—	2	2	no	—
742	C₂×#41	—	2	2	no	—
743	C₂×#41	—	2	2	no	—
744	C₂×#41	—	2	1	no	—
745	C₂×#41	—	2	1	no	—
746	C₂×#41	C₂³×C₁₃	1	2	yes	—
747	C₂×#41	C₂³×C₁₃	1	2	yes	—
748	C₂×#41	C₂³×C₁₃	1	2	yes	—
749	C₂×#41	C₂³×C₁₃	1	2	yes	—
750	C₂×#41	C₂³×C₁₃	1	2	yes	—
751	C₂²×Q₈	—	2	2	no	—
752	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
753	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
754	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
755	C₂²×D₄	—	2	1	no	—
756	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
757	#137	—	4	4	no	—
758	AGL(1,ℤ/8)	—	4	4	no	—
759	#135	—	4	4	no	—
760	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
761	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
762	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
763	C₂×SD₁₆	—	4	4	no	—
764	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
765	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
766	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
767	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
768	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
769	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
770	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
771	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
772	C₂×D₈	C₂³×C₁₃	1	2	yes	—
773	C₂×D₈	C₂³×C₁₃	1	2	yes	—
774	C₂×D₈	C₂³×C₁₃	1	2	yes	—
775	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
776	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
777	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
778	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
779	C₄⋊Q₈	—	2	1	no	—
780	C₄⋊Q₈	—	2	1	no	—
781	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
782	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
783	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
784	#127	—	2	1	no	—
785	#127	—	2	1	no	—
786	#127	—	2	1	no	—
787	#127	—	2	2	no	—
788	#127	D₄×C₁₃	1	1	yes	characteristic
789	#127	C₂³×C₁₃	1	1	yes	characteristic
790	#127	C₂³×C₁₃	1	1	yes	characteristic
791	#126	—	2	2	no	—
792	#126	—	2	2	no	—
793	#126	—	2	1	no	—
794	#125	C₂³×C₁₃	1	1	yes	characteristic
795	#124	—	2	2	no	—
796	#124	—	2	1	no	—
797	#124	—	2	2	no	—
798	#124	—	2	2	no	—
799	#124	—	2	1	no	—
800	#124	D₄×C₁₃	1	2	yes	—
801	#124	C₂³×C₁₃	1	1	yes	characteristic
802	#124	C₂³×C₁₃	1	2	yes	—
803	#123	—	2	1	no	—
804	#123	—	2	2	no	—
805	#123	—	2	2	no	—
806	#123	—	2	2	no	—
807	C₂²⋊Q₈	—	2	2	no	—
808	C₂²⋊Q₈	—	2	2	no	—
809	C₂²⋊Q₈	—	2	2	no	—
810	C₂²⋊Q₈	—	2	2	no	—
811	C₂²⋊Q₈	—	2	1	no	—
812	C₂²⋊Q₈	—	2	2	no	—
813	C₂²⋊Q₈	—	2	2	no	—
814	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
815	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
816	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
817	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
818	#121	—	2	2	no	—
819	#121	—	2	2	no	—
820	#121	—	2	2	no	—
821	#121	—	2	2	no	—
822	#121	—	2	2	no	—
823	#121	—	2	2	no	—
824	#121	—	2	2	no	—
825	#121	—	2	2	no	—
826	#121	—	2	2	no	—
827	#121	—	2	1	no	—
828	#121	—	2	1	no	—
829	#121	—	2	1	no	—
830	#121	—	2	1	no	—
831	#121	—	2	2	no	—
832	#121	—	2	2	no	—
833	#121	—	2	2	no	—
834	#121	—	2	2	no	—
835	#121	D₄×C₁₃	1	1	yes	characteristic
836	#121	D₄×C₁₃	1	1	yes	characteristic
837	#121	D₄×C₁₃	1	2	yes	—
838	#121	C₂³×C₁₃	1	1	yes	characteristic
839	#121	C₂³×C₁₃	1	2	yes	—
840	#121	C₂³×C₁₃	1	2	yes	—
841	#121	C₂³×C₁₃	1	2	yes	—
842	#121	C₂³×C₁₃	1	2	yes	—
843	#121	C₂³×C₁₃	1	2	yes	—
844	#121	C₂³×C₁₃	1	2	yes	—
845	#120	—	2	2	no	—
846	#120	—	2	2	no	—
847	#120	—	2	2	no	—
848	#120	—	2	2	no	—
849	C₄×Q₈	—	2	1	no	—
850	C₄×Q₈	—	2	1	no	—
851	C₄×Q₈	—	2	1	no	—
852	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
853	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
854	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
855	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
856	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
857	C₄×D₄	—	2	1	no	—
858	C₄×D₄	—	2	1	no	—
859	C₄×D₄	—	2	1	no	—
860	C₄×D₄	—	2	1	no	—
861	C₄×D₄	—	2	1	no	—
862	C₄×D₄	—	2	1	no	—
863	C₄×D₄	—	2	2	no	—
864	C₄×D₄	—	2	2	no	—
865	C₄×D₄	—	2	2	no	—
866	C₄×D₄	—	2	1	no	—
867	C₄×D₄	—	2	1	no	—
868	C₄×D₄	—	2	1	no	—
869	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
870	C₄×D₄	C₂³×C₁₃	1	2	yes	—
871	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
872	C₄×D₄	C₂³×C₁₃	1	2	yes	—
873	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
874	#117	—	2	1	no	—
875	#117	C₂³×C₁₃	1	2	yes	—
876	C₂×C₄⋊C₄	—	2	1	no	—
877	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
879	C₂×C₂²⋊C₄	—	2	2	no	—
880	C₂×C₄²	—	2	1	no	—
881	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
882	#107	C₂³×C₁₃	1	1	yes	characteristic
883	#107	C₂³×C₁₃	1	1	yes	characteristic
884	#106	C₂³×C₁₃	1	1	yes	characteristic
885	#106	C₂³×C₁₃	1	1	yes	characteristic
886	#106	C₂³×C₁₃	1	2	yes	—
887	#106	C₂³×C₁₃	1	2	yes	—
888	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
889	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
890	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
891	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
892	#103	C₂³×C₁₃	1	1	yes	characteristic
893	#103	C₂³×C₁₃	1	2	yes	—
894	#103	C₂³×C₁₃	1	2	yes	—
895	#103	C₂³×C₁₃	1	2	yes	—
896	#103	C₂³×C₁₃	1	1	yes	characteristic
897	#103	C₂³×C₁₃	1	1	yes	characteristic
898	#103	C₂³×C₁₃	1	2	yes	—
899	#103	C₂³×C₁₃	1	1	yes	characteristic
900	#103	C₂³×C₁₃	1	2	yes	—
901	#103	C₂³×C₁₃	1	2	yes	—
902	#103	C₂³×C₁₃	1	1	yes	characteristic
903	#103	C₂³×C₁₃	1	1	yes	characteristic
904	#102	C₂³×C₁₃	1	2	yes	—
905	#102	C₂³×C₁₃	1	2	yes	—
906	#102	C₂³×C₁₃	1	2	yes	—
907	#102	C₂³×C₁₃	1	2	yes	—
908	#102	C₂³×C₁₃	1	1	yes	characteristic
909	#102	C₂³×C₁₃	1	1	yes	characteristic
910	#102	C₂³×C₁₃	1	2	yes	—
911	#102	C₂³×C₁₃	1	2	yes	—
912	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
913	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
914	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
915	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
916	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
917	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
918	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
919	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
920	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
921	C₄×C₈	C₂³×C₁₃	1	2	yes	—
922	C₂×C₁₃	—	4	1	no	—
923	C₂×C₁₃	—	4	2	no	—
924	C₂×C₁₃	—	4	2	no	—
925	C₂×C₁₃	—	8	2	no	—
926	C₂×C₁₃	—	8	2	no	—
927	C₂×C₁₃	—	8	1	no	—
928	C₂×C₁₃	#3484	1	1	yes	characteristic
929	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
930	C₂×C₁₃	#3584	1	1	yes	characteristic
931	C₂⁴	—	2	2	no	—
932	#41	—	2	4	no	—
933	#41	—	2	4	no	—
934	#41	—	4	2	no	—
935	#41	—	4	2	no	—
936	#41	—	4	2	no	—
937	#41	—	4	2	no	—
938	#41	—	4	2	no	—
939	#41	—	4	2	no	—
940	#41	—	4	8	no	—
941	#41	—	4	8	no	—
942	#41	—	4	2	no	—
943	#41	—	4	2	no	—
944	#41	—	4	8	no	—
945	#41	—	8	2	no	—
946	#41	—	8	2	no	—
947	C₂×Q₈	—	2	2	no	—
948	C₂×Q₈	—	2	2	no	—
949	C₂×Q₈	—	2	1	no	—
950	C₂×Q₈	—	2	1	no	—
951	C₂×Q₈	—	2	2	no	—
952	C₂×Q₈	—	2	2	no	—
953	C₂×Q₈	—	2	4	no	—
954	C₂×Q₈	—	2	4	no	—
955	C₂×Q₈	—	4	2	no	—
956	C₂×Q₈	—	4	2	no	—
957	C₂×Q₈	—	4	8	no	—
958	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
959	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
960	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
961	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₂×D₄	—	2	2	no	—
964	C₂×D₄	—	2	2	no	—
965	C₂×D₄	—	2	2	no	—
966	C₂×D₄	—	2	1	no	—
967	C₂×D₄	—	2	2	no	—
968	C₂×D₄	—	2	2	no	—
969	C₂×D₄	—	2	2	no	—
970	C₂×D₄	—	2	2	no	—
971	C₂×D₄	—	2	2	no	—
972	C₂×D₄	—	2	2	no	—
973	C₂×D₄	—	2	2	no	—
974	C₂×D₄	—	2	1	no	—
975	C₂×D₄	—	2	1	no	—
976	C₂×D₄	—	2	1	no	—
977	C₂×D₄	—	2	1	no	—
978	C₂×D₄	—	2	2	no	—
979	C₂×D₄	—	4	2	no	—
980	C₂×D₄	—	4	2	no	—
981	C₂×D₄	—	8	2	no	—
982	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
983	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
984	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
985	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
987	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
988	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
989	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
990	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
991	C₂²×C₄	—	2	1	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	2	2	no	—
994	C₂²×C₄	—	2	1	no	—
995	C₂²×C₄	—	2	2	no	—
996	C₂²×C₄	—	2	1	no	—
997	C₂²×C₄	—	2	2	no	—
998	C₂²×C₄	—	2	2	no	—
999	C₂²×C₄	—	2	2	no	—
1000	C₂²×C₄	—	2	2	no	—
1001	C₂²×C₄	—	2	2	no	—
1002	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1003	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1004	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1005	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1006	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1007	Q₁₆	—	2	2	no	—
1008	Q₁₆	—	2	2	no	—
1009	Q₁₆	—	4	2	no	—
1010	SD₁₆	—	2	2	no	—
1011	SD₁₆	—	2	4	no	—
1012	SD₁₆	—	2	2	no	—
1013	SD₁₆	—	2	4	no	—
1014	SD₁₆	—	4	2	no	—
1015	SD₁₆	—	4	2	no	—
1016	SD₁₆	—	4	2	no	—
1017	SD₁₆	—	4	2	no	—
1018	D₈	—	4	2	no	—
1019	D₈	—	4	2	no	—
1020	D₈	—	4	2	no	—
1021	M₁₆	—	4	2	no	—
1022	M₁₆	—	4	2	no	—
1023	C₂×C₈	—	4	2	no	—
1024	C₂×C₈	—	4	2	no	—
1025	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1026	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1027	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1028	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1029	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1030	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1031	C₄⋊C₄	—	2	1	no	—
1032	C₄⋊C₄	—	2	1	no	—
1033	C₄⋊C₄	—	2	1	no	—
1034	C₄⋊C₄	—	2	1	no	—
1035	C₄⋊C₄	—	2	1	no	—
1036	C₄⋊C₄	—	2	2	no	—
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	1	no	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	2	2	no	—
1043	C₄⋊C₄	—	2	2	no	—
1044	C₄⋊C₄	—	2	1	no	—
1045	C₄⋊C₄	—	2	2	no	—
1046	C₄⋊C₄	—	2	1	no	—
1047	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1048	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1049	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1050	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1051	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1052	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1053	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1054	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1055	C₂²⋊C₄	—	2	2	no	—
1056	C₂²⋊C₄	—	2	2	no	—
1057	C₂²⋊C₄	—	2	1	no	—
1058	C₂²⋊C₄	—	2	2	no	—
1059	C₂²⋊C₄	—	2	2	no	—
1060	C₂²⋊C₄	—	2	1	no	—
1061	C₂²⋊C₄	—	2	2	no	—
1062	C₂²⋊C₄	—	2	1	no	—
1063	C₂²⋊C₄	—	2	1	no	—
1064	C₂²⋊C₄	—	2	2	no	—
1065	C₂²⋊C₄	—	2	2	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	2	2	no	—
1069	C₂²⋊C₄	—	2	2	no	—
1070	C₂²⋊C₄	—	2	2	no	—
1071	C₂²⋊C₄	—	2	1	no	—
1072	C₂²⋊C₄	—	2	2	no	—
1073	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1074	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1075	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1076	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1077	C₄²	—	2	1	no	—
1078	C₄²	—	2	1	no	—
1079	C₄²	—	2	1	no	—
1080	C₄²	—	2	1	no	—
1081	C₄²	—	2	1	no	—
1082	C₄²	—	2	2	no	—
1083	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1084	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1085	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1086	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1087	C₁₃	#61659	1	1	yes	characteristic, direct product factor, Sylow
1088	C₂³	—	2	1	no	—
1089	C₂³	—	2	2	no	—
1090	C₂³	—	2	2	no	—
1091	C₂³	—	8	2	no	—
1092	C₂³	—	8	2	no	—
1093	C₂³	—	8	2	no	—
1094	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1095	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1096	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1097	Q₈	—	2	4	no	—
1098	Q₈	—	2	1	no	—
1099	Q₈	—	2	1	no	—
1100	Q₈	—	2	1	no	—
1101	Q₈	—	2	2	no	—
1102	Q₈	—	2	2	no	—
1103	Q₈	—	2	1	no	—
1104	Q₈	—	4	2	no	—
1105	Q₈	—	4	4	no	—
1106	Q₈	—	4	4	no	—
1107	Q₈	—	4	2	no	—
1108	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1109	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1110	D₄	—	2	2	no	—
1111	D₄	—	2	2	no	—
1112	D₄	—	2	1	no	—
1113	D₄	—	2	2	no	—
1114	D₄	—	2	2	no	—
1115	D₄	—	2	2	no	—
1116	D₄	—	2	2	no	—
1117	D₄	—	2	1	no	—
1118	D₄	—	4	2	no	—
1119	D₄	—	4	2	no	—
1120	D₄	—	4	2	no	—
1121	D₄	—	4	2	no	—
1122	D₄	—	4	4	no	—
1123	D₄	—	4	4	no	—
1124	D₄	—	4	4	no	—
1125	D₄	—	4	2	no	—
1126	D₄	—	4	2	no	—
1127	D₄	—	8	2	no	—
1128	D₄	—	8	1	no	—
1129	D₄	—	8	1	no	—
1130	D₄	—	8	2	no	—
1131	D₄	—	8	2	no	—
1132	D₄	—	8	2	no	—
1133	D₄	—	8	1	no	—
1134	D₄	—	8	2	no	—
1135	D₄	—	8	2	no	—
1136	D₄	—	8	2	no	—
1137	D₄	—	8	2	no	—
1138	C₂×C₄	—	2	4	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	2	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	4	1	no	—
1156	C₂×C₄	—	4	4	no	—
1157	C₂×C₄	—	4	4	no	—
1158	C₂×C₄	—	4	4	no	—
1159	C₂×C₄	—	4	4	no	—
1160	C₂×C₄	—	4	4	no	—
1161	C₂×C₄	—	4	2	no	—
1162	C₂×C₄	—	8	2	no	—
1163	C₂×C₄	—	8	2	no	—
1164	C₂×C₄	—	8	1	no	—
1165	C₂×C₄	—	8	2	no	—
1166	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1167	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1168	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1169	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1170	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1171	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1172	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1173	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1174	C₈	—	2	1	no	—
1175	C₈	—	2	1	no	—
1176	C₈	—	2	2	no	—
1177	C₈	—	2	1	no	—
1178	C₈	—	2	2	no	—
1179	C₈	—	2	1	no	—
1180	C₂²	—	2	1	no	—
1181	C₂²	—	2	2	no	—
1182	C₂²	—	2	2	no	—
1183	C₂²	—	2	1	no	—
1184	C₂²	—	2	2	no	—
1185	C₂²	—	2	2	no	—
1186	C₂²	—	2	1	no	—
1187	C₂²	—	2	2	no	—
1188	C₂²	—	2	2	no	—
1189	C₂²	—	4	1	no	—
1190	C₂²	—	4	2	no	—
1191	C₂²	—	4	2	no	—
1192	C₂²	—	4	2	no	—
1193	C₂²	—	4	2	no	—
1194	C₂²	—	4	1	no	—
1195	C₂²	—	4	2	no	—
1196	C₂²	—	4	2	no	—
1197	C₂²	—	4	1	no	—
1198	C₂²	—	16	4	no	—
1199	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1200	C₄	—	2	1	no	—
1201	C₄	—	2	1	no	—
1202	C₄	—	2	1	no	—
1203	C₄	—	2	2	no	—
1204	C₄	—	2	2	no	—
1205	C₄	—	2	1	no	—
1206	C₄	—	2	2	no	—
1207	C₄	—	2	2	no	—
1208	C₄	—	4	1	no	—
1209	C₄	—	4	2	no	—
1210	C₄	—	4	1	no	—
1211	C₄	—	4	1	no	—
1212	C₄	—	4	1	no	—
1213	C₄	—	4	2	no	—
1214	C₄	—	4	1	no	—
1215	C₄	C₁₃×#577	1	2	yes	—
1216	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1217	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1218	C₂	—	4	2	no	—
1219	C₂	—	4	1	no	—
1220	C₂	—	4	2	no	—
1221	C₂	—	8	1	no	—
1222	C₂	—	8	2	no	—
1223	C₂	—	8	2	no	—
1224	C₂	C₁₃×#3484	1	1	yes	characteristic
1225	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1226	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 ◁ C₁₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3546	C₂	semidirect
2. C₁₃×#3497	C₂	semidirect
3. C₁₃×#3332	C₂	semidirect
4. C₁₃×#3328	C₂	semidirect
5. C₁₃×#3326	C₂	semidirect
6. C₁₃×#3304	C₂	semidirect
7. C₁₃×#3301	C₂	semidirect
8. C₁₃×#3298	C₂	semidirect
9. C₁₃×#3287	C₂	semidirect
10. C₁₃×#3282	C₂	semidirect
11. D₄×C₁₃×SD₁₆	C₂	semidirect
12. C₁₃×#3278	C₂	semidirect
13. C₁₃×#3275	C₂	semidirect
14. C₁₃×#3274	C₂	semidirect
15. C₁₃×#3212	C₂	semidirect
16. C₁₃×#3207	C₂	semidirect
17. C₁₃×#3204	C₂	semidirect
18. C₁₃×#3198	C₂	semidirect
19. C₁₃×#3108	C₂	semidirect
20. C₁₃×#3103	C₂	semidirect
21. C₁₃×#3013	C₂	semidirect
22. C₁₃×#3010	C₂	semidirect
23. C₁₃×#2979	C₂	semidirect
24. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
25. C₂×C₁₃×#137	C₂²	semidirect
27. C₂×C₁₃×#135	C₂²	semidirect
36. C₁₃×#550	C₂²	semidirect
39. D₄×Q₈×C₁₃	C₂²	semidirect
41. C₁₃×#548	C₂²	semidirect
42. C₁₃×#548	C₂²	semidirect
51. C₁₃×#537	C₂²	semidirect
58. C₁₃×#532	C₂²	semidirect
60. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
64. C₁₃×#488	C₂²	semidirect
65. C₁₃×#487	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
68. C₁₃×#483	C₂²	semidirect
69. C₁₃×#483	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
71. C₁₃×#481	C₂²	semidirect
72. C₁₃×#481	C₂²	semidirect
74. C₁₃×#479	C₂²	semidirect
75. C₁₃×#479	C₂²	semidirect
76. C₁₃×#475	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
78. C₁₃×#470	C₂²	semidirect
81. C₁₃×#468	C₂²	semidirect
82. C₁₃×#466	C₂²	semidirect
85. C₁₃×#465	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#463	C₂²	semidirect
90. C₁₃×#462	C₂²	semidirect
94. C₁₃×#460	C₂²	semidirect
96. C₁₃×#452	C₂²	semidirect
97. C₁₃×#452	C₂²	semidirect
98. C₁₃×#452	C₂²	semidirect
99. C₁₃×#451	C₂²	semidirect
100. C₁₃×#451	C₂²	semidirect
105. C₁₃×#449	C₂²	semidirect
106. C₁₃×#449	C₂²	semidirect
107. C₁₃×#449	C₂²	semidirect
108. C₁₃×#449	C₂²	semidirect
112. C₁₃×#448	C₂²	semidirect
113. C₁₃×#448	C₂²	semidirect
115. C₄×C₁₃×Q₁₆	C₂²	semidirect
116. C₄×C₁₃×Q₁₆	C₂²	semidirect
119. C₄×C₁₃×SD₁₆	C₂²	semidirect
120. C₄×C₁₃×SD₁₆	C₂²	semidirect
122. C₁₃×#436	C₂²	semidirect
123. C₁₃×#436	C₂²	semidirect
125. C₈×D₄×C₁₃	C₂²	semidirect
126. C₈×D₄×C₁₃	C₂²	semidirect
127. C₁₃×#431	C₂²	semidirect
128. C₁₃×#431	C₂²	semidirect
129. C₁₃×#419	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
131. C₁₃×#416	C₂²	semidirect
132. C₂×C₁₃×#103	C₂²	semidirect
133. C₁₃×#408	C₂²	semidirect
134. C₁₃×#408	C₂²	semidirect
318. #61659	C₁₃	direct (N × H)
475. #3546	C₂×C₁₃	semidirect
476. #3497	C₂×C₁₃	semidirect
477. #3332	C₂×C₁₃	semidirect
478. #3328	C₂×C₁₃	semidirect
479. #3326	C₂×C₁₃	semidirect
480. #3304	C₂×C₁₃	semidirect
481. #3301	C₂×C₁₃	semidirect
482. #3298	C₂×C₁₃	semidirect
483. #3287	C₂×C₁₃	semidirect
484. #3282	C₂×C₁₃	semidirect
485. D₄×SD₁₆	C₂×C₁₃	semidirect
486. #3278	C₂×C₁₃	semidirect
487. #3275	C₂×C₁₃	semidirect
488. #3274	C₂×C₁₃	semidirect
489. #3212	C₂×C₁₃	semidirect
490. #3207	C₂×C₁₃	semidirect
491. #3204	C₂×C₁₃	semidirect
492. #3198	C₂×C₁₃	semidirect
493. #3108	C₂×C₁₃	semidirect
494. #3103	C₂×C₁₃	semidirect
495. #3013	C₂×C₁₃	semidirect
496. #3010	C₂×C₁₃	semidirect
497. #2979	C₂×C₁₃	semidirect
590. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
591. C₂×#137	C₂²×C₁₃	semidirect
593. C₂×#135	C₂²×C₁₃	semidirect
602. #550	C₂²×C₁₃	semidirect
605. D₄×Q₈	C₂²×C₁₃	semidirect
607. #548	C₂²×C₁₃	semidirect
608. #548	C₂²×C₁₃	semidirect
617. #537	C₂²×C₁₃	semidirect
624. #532	C₂²×C₁₃	semidirect
626. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
630. #488	C₂²×C₁₃	semidirect
631. #487	C₂²×C₁₃	semidirect
632. #486	C₂²×C₁₃	semidirect
633. #485	C₂²×C₁₃	semidirect
634. #483	C₂²×C₁₃	semidirect
635. #483	C₂²×C₁₃	semidirect
636. #482	C₂²×C₁₃	semidirect
637. #481	C₂²×C₁₃	semidirect
638. #481	C₂²×C₁₃	semidirect
640. #479	C₂²×C₁₃	semidirect
641. #479	C₂²×C₁₃	semidirect
642. #475	C₂²×C₁₃	semidirect
643. #475	C₂²×C₁₃	semidirect
644. #470	C₂²×C₁₃	semidirect
647. #468	C₂²×C₁₃	semidirect
648. #466	C₂²×C₁₃	semidirect
651. #465	C₂²×C₁₃	semidirect
654. #463	C₂²×C₁₃	semidirect
655. #463	C₂²×C₁₃	semidirect
656. #462	C₂²×C₁₃	semidirect
660. #460	C₂²×C₁₃	semidirect
662. #452	C₂²×C₁₃	semidirect
663. #452	C₂²×C₁₃	semidirect
664. #452	C₂²×C₁₃	semidirect
665. #451	C₂²×C₁₃	semidirect
666. #451	C₂²×C₁₃	semidirect
671. #449	C₂²×C₁₃	semidirect
672. #449	C₂²×C₁₃	semidirect
673. #449	C₂²×C₁₃	semidirect
674. #449	C₂²×C₁₃	semidirect
678. #448	C₂²×C₁₃	semidirect
679. #448	C₂²×C₁₃	semidirect
681. C₄×Q₁₆	C₂²×C₁₃	semidirect
682. C₄×Q₁₆	C₂²×C₁₃	semidirect
685. C₄×SD₁₆	C₂²×C₁₃	semidirect
686. C₄×SD₁₆	C₂²×C₁₃	semidirect
688. #436	C₂²×C₁₃	semidirect
689. #436	C₂²×C₁₃	semidirect
691. C₈×D₄	C₂²×C₁₃	semidirect
692. C₈×D₄	C₂²×C₁₃	semidirect
693. #431	C₂²×C₁₃	semidirect
694. #431	C₂²×C₁₃	semidirect
695. #419	C₂²×C₁₃	semidirect
696. #417	C₂²×C₁₃	semidirect
697. #416	C₂²×C₁₃	semidirect
698. C₂×#103	C₂²×C₁₃	semidirect
699. #408	C₂²×C₁₃	semidirect
700. #408	C₂²×C₁₃	semidirect
1087. C₁₃	#61659	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3546	2
C₁₃×#3497	2
C₁₃×#3332	2
C₁₃×#3328	2
C₁₃×#3326	2
C₁₃×#3304	2
C₁₃×#3301	2
C₁₃×#3298	2
C₁₃×#3287	2
C₁₃×#3282	2
D₄×C₁₃×SD₁₆	2
C₁₃×#3278	2
C₁₃×#3275	2
C₁₃×#3274	2
C₁₃×#3212	2
C₁₃×#3207	2
C₁₃×#3204	2
C₁₃×#3198	2
C₁₃×#3108	2
C₁₃×#3103	2
C₁₃×#3013	2
C₁₃×#3010	2
C₁₃×#2979	2
#61659	13

Subgroups — C13×#61659 #15747998

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61659 #15747998