Subgroups — C₁₃×#62041 #15748380

Order 3328.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1204 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×#3520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3393	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3358	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3333	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3330	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3314	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3283	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3273	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3272	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3262	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3254	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3224	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3210	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3045	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3036	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2993	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
26	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
27	C₁₃×#560	—	2	2	no	—
28	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#554	C₂²	1	2	yes	complemented
31	C₁₃×#553	—	2	1	no	—
32	C₁₃×#552	—	2	1	no	—
33	C₁₃×#551	—	2	2	no	—
34	C₁₃×#550	C₂²	1	2	yes	—
35	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#548	—	2	1	no	—
38	C₁₃×#547	C₂²	1	1	yes	characteristic
39	C₁₃×#547	C₂²	1	1	yes	characteristic
40	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#546	—	2	1	no	—
42	C₁₃×#546	C₂²	1	2	yes	—
43	C₁₃×#546	C₂²	1	2	yes	complemented
44	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#542	C₂²	1	2	yes	complemented
46	C₁₃×#542	C₂²	1	2	yes	complemented
47	C₁₃×#539	—	2	2	no	—
48	C₁₃×#538	—	2	2	no	—
49	C₁₃×#537	—	2	1	no	—
50	C₁₃×#535	—	2	1	no	—
51	C₁₃×#535	C₂²	1	2	yes	complemented
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
55	C₁₃×#529	C₂²	1	1	yes	characteristic
56	C₁₃×#525	—	2	1	no	—
57	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
58	C₁₃×#520	C₂²	1	2	yes	complemented
59	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#496	C₂²	1	2	yes	complemented
61	C₁₃×#495	C₂²	1	2	yes	—
62	C₁₃×#494	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#489	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×#486	C₂²	1	2	yes	complemented
68	C₁₃×#484	C₂²	1	2	yes	complemented
69	C₁₃×#480	C₂²	1	1	yes	characteristic
70	C₁₃×#480	C₂²	1	2	yes	complemented
71	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#477	C₂²	1	2	yes	complemented
73	C₁₃×#477	C₂²	1	2	yes	complemented
74	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#474	C₂²	1	2	yes	complemented
76	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#468	C₂²	1	2	yes	—
80	C₁₃×#468	C₂²	1	2	yes	complemented
81	C₁₃×#468	C₂²	1	2	yes	complemented
82	C₁₃×#468	C₂²	1	2	yes	complemented
83	C₁₃×#467	C₂²	1	2	yes	complemented
84	C₁₃×#466	C₂²	1	2	yes	—
85	C₁₃×#464	C₂²	1	2	yes	complemented
86	C₁₃×#464	C₂²	1	2	yes	complemented
87	C₁₃×#464	C₂²	1	2	yes	complemented
88	C₁₃×#464	C₂²	1	2	yes	complemented
89	C₁₃×#463	C₂²	1	2	yes	—
90	C₁₃×#463	C₂²	1	2	yes	complemented
91	C₁₃×#463	C₂²	1	2	yes	complemented
92	C₁₃×#463	C₂²	1	2	yes	complemented
93	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#460	C₂²	1	2	yes	complemented
98	C₁₃×#460	C₂²	1	2	yes	complemented
99	C₁₃×#459	C₂²	1	1	yes	characteristic
100	C₁₃×#459	C₂²	1	1	yes	characteristic
101	C₁₃×#459	C₂²	1	1	yes	characteristic
102	C₁₃×#459	C₂²	1	1	yes	characteristic
103	C₁₃×#459	C₂²	1	2	yes	complemented
104	C₁₃×#452	C₂²	1	2	yes	complemented
105	C₁₃×#452	C₂²	1	2	yes	complemented
106	C₁₃×#452	C₂²	1	2	yes	complemented
107	C₁₃×#452	C₂²	1	2	yes	complemented
108	C₁₃×#450	C₂²	1	2	yes	complemented
109	C₁₃×#449	C₂²	1	2	yes	—
110	C₁₃×#449	C₂²	1	2	yes	complemented
111	C₁₃×#447	C₂²	1	1	yes	characteristic
112	C₁₃×#447	C₂²	1	2	yes	—
113	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#440	C₂²	1	2	yes	complemented
117	C₁₃×#440	C₂²	1	2	yes	complemented
118	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
119	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
121	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
122	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#436	C₂²	1	2	yes	complemented
126	C₁₃×#435	C₂²	1	2	yes	complemented
127	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#433	C₂²	1	2	yes	complemented
129	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#424	C₂²	1	2	yes	complemented
131	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#417	C₂²	1	2	yes	complemented
133	C₁₃×#417	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	—	2	1	no	—
138	C₂×C₁₃×#41	C₂³	1	2	yes	—
139	C₂×C₁₃×#41	C₂³	1	2	yes	—
140	C₂×C₁₃×#41	C₂³	1	2	yes	—
141	C₂²×Q₈×C₁₃	—	2	1	no	—
142	C₂²×D₄×C₁₃	—	2	1	no	—
143	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
145	C₂³×C₄×C₁₃	—	2	1	no	—
146	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
147	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
148	C₁₃×#135	—	4	4	no	—
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×Q₁₆	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	2	yes	—
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
159	C₂×C₁₃×D₈	C₂³	1	2	yes	—
160	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
167	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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×#127	—	2	2	no	—
172	C₁₃×#127	C₂³	1	1	yes	characteristic
173	C₁₃×#127	C₂³	1	1	yes	characteristic
174	C₁₃×#127	C₂³	1	2	yes	—
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	D₄	1	2	yes	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	1	no	—
182	C₁₃×#125	D₄	1	1	yes	characteristic
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	D₄	1	1	yes	characteristic
187	C₁₃×#124	C₂³	1	2	yes	—
188	C₁₃×#124	C₂³	1	2	yes	—
189	C₁₃×#124	C₂³	1	2	yes	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	D₄	1	2	yes	—
198	C₁₃×C₂²⋊Q₈	—	2	1	no	—
199	C₁₃×C₂²⋊Q₈	—	2	1	no	—
200	C₁₃×C₂²⋊Q₈	—	2	1	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	1	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	2	no	—
208	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
209	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
212	C₁₃×#121	—	2	1	no	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	1	no	—
215	C₁₃×#121	—	2	1	no	—
216	C₁₃×#121	—	2	1	no	—
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	1	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	—	2	2	no	—
226	C₁₃×#121	D₄	1	1	yes	characteristic
227	C₁₃×#121	C₂³	1	2	yes	—
228	C₁₃×#121	C₂³	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	1	yes	characteristic
230	C₁₃×#121	C₂³	1	2	yes	—
231	C₁₃×#120	—	2	2	no	—
232	C₁₃×#120	—	2	2	no	—
233	C₁₃×#120	—	2	2	no	—
234	C₁₃×#120	—	2	2	no	—
235	C₁₃×#120	—	2	2	no	—
236	C₄×Q₈×C₁₃	—	2	1	no	—
237	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
238	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
239	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	—	2	2	no	—
242	C₄×D₄×C₁₃	—	2	2	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	1	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₃	C₂³	1	2	yes	—
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₃	C₂³	1	2	yes	—
260	C₁₃×#117	—	2	1	no	—
261	C₁₃×#117	—	2	2	no	—
262	C₁₃×#117	—	2	1	no	—
263	C₁₃×#117	—	2	1	no	—
264	C₁₃×#117	C₂³	1	2	yes	—
265	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
266	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
267	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
269	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
271	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
272	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
273	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
274	C₁₃×#107	C₂³	1	1	yes	characteristic
275	C₁₃×#107	C₂³	1	1	yes	characteristic
276	C₁₃×#107	C₂³	1	1	yes	characteristic
277	C₁₃×#107	C₂³	1	1	yes	characteristic
278	C₁₃×#107	C₂³	1	2	yes	—
279	C₁₃×#107	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	2	yes	—
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	2	yes	—
293	C₁₃×#102	C₂³	1	1	yes	characteristic
294	C₁₃×#102	C₂³	1	2	yes	—
295	C₁₃×#102	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	1	yes	characteristic
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×#102	C₂³	1	1	yes	characteristic
306	C₁₃×#102	C₂³	1	1	yes	characteristic
307	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#62041	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	1	no	—
317	C₂⁴×C₁₃	—	2	2	no	—
318	C₁₃×#41	—	2	4	no	—
319	C₁₃×#41	—	4	2	no	—
320	C₁₃×#41	—	4	2	no	—
321	C₁₃×#41	—	4	2	no	—
322	C₁₃×#41	—	4	2	no	—
323	C₁₃×#41	—	4	2	no	—
324	C₁₃×#41	—	8	2	no	—
325	C₁₃×#41	—	8	2	no	—
326	C₁₃×#41	—	8	2	no	—
327	C₂×Q₈×C₁₃	—	2	1	no	—
328	C₂×Q₈×C₁₃	—	2	2	no	—
329	C₂×Q₈×C₁₃	—	2	1	no	—
330	C₂×Q₈×C₁₃	—	8	2	no	—
331	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	2	1	no	—
344	C₂×D₄×C₁₃	—	2	1	no	—
345	C₂×D₄×C₁₃	—	2	1	no	—
346	C₂×D₄×C₁₃	—	2	2	no	—
347	C₂×D₄×C₁₃	—	2	1	no	—
348	C₂×D₄×C₁₃	—	2	2	no	—
349	C₂×D₄×C₁₃	—	2	2	no	—
350	C₂×D₄×C₁₃	—	4	1	no	—
351	C₂×D₄×C₁₃	—	4	2	no	—
352	C₂×D₄×C₁₃	—	4	2	no	—
353	C₂×D₄×C₁₃	—	8	2	no	—
354	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
355	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
356	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
358	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₁₃	—	2	1	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	2	2	no	—
364	C₂²×C₄×C₁₃	—	2	1	no	—
365	C₂²×C₄×C₁₃	—	2	1	no	—
366	C₂²×C₄×C₁₃	—	2	1	no	—
367	C₂²×C₄×C₁₃	—	2	1	no	—
368	C₂²×C₄×C₁₃	—	2	2	no	—
369	C₂²×C₄×C₁₃	—	2	2	no	—
370	C₂²×C₄×C₁₃	—	2	2	no	—
371	C₂²×C₄×C₁₃	—	2	1	no	—
372	C₂²×C₄×C₁₃	—	2	2	no	—
373	C₂²×C₄×C₁₃	—	2	1	no	—
374	C₂²×C₄×C₁₃	—	8	2	no	—
375	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
379	C₁₃×Q₁₆	—	4	2	no	—
380	C₁₃×Q₁₆	—	4	2	no	—
381	C₁₃×SD₁₆	—	2	4	no	—
382	C₁₃×SD₁₆	—	4	2	no	—
383	C₁₃×SD₁₆	—	4	2	no	—
384	C₁₃×SD₁₆	—	4	2	no	—
385	C₁₃×SD₁₆	—	4	2	no	—
386	C₁₃×SD₁₆	—	4	2	no	—
387	C₁₃×D₈	—	2	2	no	—
388	C₁₃×D₈	—	2	4	no	—
389	C₁₃×D₈	—	2	2	no	—
390	C₁₃×D₈	—	4	1	no	—
391	C₁₃×D₈	—	4	1	no	—
392	C₁₃×D₈	—	4	2	no	—
393	C₁₃×M₁₆	—	4	2	no	—
394	C₁₃×M₁₆	—	4	2	no	—
395	C₂×C₈×C₁₃	—	4	2	no	—
396	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
401	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₁₃×C₄⋊C₄	—	2	1	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	1	no	—
411	C₁₃×C₄⋊C₄	—	2	1	no	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	—	2	1	no	—
414	C₁₃×C₄⋊C₄	—	2	2	no	—
415	C₁₃×C₄⋊C₄	—	2	2	no	—
416	C₁₃×C₄⋊C₄	—	2	2	no	—
417	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
418	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
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	C₂×D₄	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	2	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	2	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	1	no	—
443	C₁₃×C₂²⋊C₄	—	2	2	no	—
444	C₁₃×C₂²⋊C₄	—	2	2	no	—
445	C₁₃×C₂²⋊C₄	—	2	2	no	—
446	C₁₃×C₂²⋊C₄	—	2	1	no	—
447	C₁₃×C₂²⋊C₄	—	2	2	no	—
448	C₁₃×C₂²⋊C₄	—	2	1	no	—
449	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
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	C₂×D₄	1	1	yes	characteristic
458	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
459	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
460	C₄²×C₁₃	C₂⁴	1	2	yes	—
461	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
462	#3546	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3520	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3393	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3358	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3333	C₂×C₁₃	1	2	yes	complemented
469	#3330	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3314	C₂×C₁₃	1	2	yes	complemented
471	#3294	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3283	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3273	C₂×C₁₃	1	2	yes	complemented
474	#3272	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3268	C₂×C₁₃	1	2	yes	complemented
476	#3262	C₂×C₁₃	1	2	yes	complemented
477	#3254	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3224	C₂×C₁₃	1	2	yes	complemented
479	#3210	C₂×C₁₃	1	1	yes	characteristic, complemented
480	#3124	C₂×C₁₃	1	2	yes	complemented
481	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#3045	C₂×C₁₃	1	2	yes	complemented
483	#3036	C₂×C₁₃	1	1	yes	characteristic, complemented
484	#2993	C₂×C₁₃	1	1	yes	characteristic, complemented
485	C₂³×C₁₃	—	2	1	no	—
486	C₂³×C₁₃	—	2	1	no	—
487	C₂³×C₁₃	—	2	1	no	—
488	C₂³×C₁₃	—	2	2	no	—
489	C₂³×C₁₃	—	2	1	no	—
490	C₂³×C₁₃	—	4	2	no	—
491	C₂³×C₁₃	—	4	2	no	—
492	C₂³×C₁₃	—	8	1	no	—
493	C₂³×C₁₃	—	8	2	no	—
494	C₂³×C₁₃	—	8	2	no	—
495	C₂³×C₁₃	—	8	2	no	—
496	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
497	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
498	Q₈×C₁₃	—	2	2	no	—
499	Q₈×C₁₃	—	2	2	no	—
500	Q₈×C₁₃	—	2	2	no	—
501	Q₈×C₁₃	—	2	2	no	—
502	Q₈×C₁₃	—	2	2	no	—
503	Q₈×C₁₃	—	4	2	no	—
504	Q₈×C₁₃	—	8	2	no	—
505	Q₈×C₁₃	—	8	1	no	—
506	D₄×C₁₃	—	2	2	no	—
507	D₄×C₁₃	—	2	2	no	—
508	D₄×C₁₃	—	2	1	no	—
509	D₄×C₁₃	—	2	1	no	—
510	D₄×C₁₃	—	2	1	no	—
511	D₄×C₁₃	—	2	1	no	—
512	D₄×C₁₃	—	2	1	no	—
513	D₄×C₁₃	—	2	1	no	—
514	D₄×C₁₃	—	2	1	no	—
515	D₄×C₁₃	—	2	2	no	—
516	D₄×C₁₃	—	4	2	no	—
517	D₄×C₁₃	—	4	2	no	—
518	D₄×C₁₃	—	4	4	no	—
519	D₄×C₁₃	—	4	2	no	—
520	D₄×C₁₃	—	8	1	no	—
521	D₄×C₁₃	—	8	1	no	—
522	D₄×C₁₃	—	8	2	no	—
523	D₄×C₁₃	—	8	2	no	—
524	D₄×C₁₃	—	8	1	no	—
525	D₄×C₁₃	—	8	2	no	—
526	D₄×C₁₃	—	8	2	no	—
527	D₄×C₁₃	—	8	2	no	—
528	D₄×C₁₃	—	8	2	no	—
529	D₄×C₁₃	—	8	1	no	—
530	D₄×C₁₃	—	8	1	no	—
531	D₄×C₁₃	—	8	2	no	—
532	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
533	C₂×C₄×C₁₃	—	2	2	no	—
534	C₂×C₄×C₁₃	—	2	2	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	2	no	—
539	C₂×C₄×C₁₃	—	2	1	no	—
540	C₂×C₄×C₁₃	—	2	1	no	—
541	C₂×C₄×C₁₃	—	2	2	no	—
542	C₂×C₄×C₁₃	—	2	2	no	—
543	C₂×C₄×C₁₃	—	2	1	no	—
544	C₂×C₄×C₁₃	—	2	1	no	—
545	C₂×C₄×C₁₃	—	4	1	no	—
546	C₂×C₄×C₁₃	—	4	4	no	—
547	C₂×C₄×C₁₃	—	4	2	no	—
548	C₂×C₄×C₁₃	—	4	2	no	—
549	C₂×C₄×C₁₃	—	4	2	no	—
550	C₂×C₄×C₁₃	—	4	2	no	—
551	C₂×C₄×C₁₃	—	8	1	no	—
552	C₂×C₄×C₁₃	—	8	1	no	—
553	C₂×C₄×C₁₃	—	8	2	no	—
554	C₂×C₄×C₁₃	—	8	2	no	—
555	C₂×C₄×C₁₃	—	8	2	no	—
556	C₂×C₄×C₁₃	—	8	2	no	—
557	C₂×C₄×C₁₃	—	8	1	no	—
558	C₂×C₄×C₁₃	—	8	2	no	—
559	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
560	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
561	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
562	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
563	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
564	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
565	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
566	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
567	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
568	C₈×C₁₃	—	2	1	no	—
569	C₈×C₁₃	—	2	2	no	—
570	C₈×C₁₃	—	2	1	no	—
571	C₈×C₁₃	—	2	2	no	—
572	C₈×C₁₃	—	2	1	no	—
573	C₈×C₁₃	—	2	1	no	—
574	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
575	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
576	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
577	#560	—	2	2	no	—
578	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
579	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
580	#554	C₂²×C₁₃	1	2	yes	complemented
581	#553	—	2	1	no	—
582	#552	—	2	1	no	—
583	#551	—	2	2	no	—
584	#550	C₂²×C₁₃	1	2	yes	—
585	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
586	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
587	#548	—	2	1	no	—
588	#547	C₂²×C₁₃	1	1	yes	characteristic
589	#547	C₂²×C₁₃	1	1	yes	characteristic
590	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
591	#546	—	2	1	no	—
592	#546	C₂²×C₁₃	1	2	yes	—
593	#546	C₂²×C₁₃	1	2	yes	complemented
594	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	#542	C₂²×C₁₃	1	2	yes	complemented
596	#542	C₂²×C₁₃	1	2	yes	complemented
597	#539	—	2	2	no	—
598	#538	—	2	2	no	—
599	#537	—	2	1	no	—
600	#535	—	2	1	no	—
601	#535	C₂²×C₁₃	1	2	yes	complemented
602	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	#532	C₂²×C₁₃	1	1	yes	characteristic
604	#532	C₂²×C₁₃	1	1	yes	characteristic
605	#529	C₂²×C₁₃	1	1	yes	characteristic
606	#525	—	2	1	no	—
607	C₂×C₂²⋊Q₈	—	2	1	no	—
608	#520	C₂²×C₁₃	1	2	yes	complemented
609	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
610	#496	C₂²×C₁₃	1	2	yes	complemented
611	#495	C₂²×C₁₃	1	2	yes	—
612	#494	C₂²×C₁₃	1	1	yes	characteristic, complemented
613	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	#489	C₂²×C₁₃	1	2	yes	complemented
615	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	#486	C₂²×C₁₃	1	2	yes	complemented
617	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
618	#484	C₂²×C₁₃	1	2	yes	complemented
619	#480	C₂²×C₁₃	1	1	yes	characteristic
620	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	#480	C₂²×C₁₃	1	2	yes	complemented
622	#477	C₂²×C₁₃	1	2	yes	complemented
623	#477	C₂²×C₁₃	1	2	yes	complemented
624	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
625	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
626	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#474	C₂²×C₁₃	1	2	yes	complemented
628	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
629	#468	C₂²×C₁₃	1	2	yes	—
630	#468	C₂²×C₁₃	1	2	yes	complemented
631	#468	C₂²×C₁₃	1	2	yes	complemented
632	#468	C₂²×C₁₃	1	2	yes	complemented
633	#467	C₂²×C₁₃	1	2	yes	complemented
634	#466	C₂²×C₁₃	1	2	yes	—
635	#464	C₂²×C₁₃	1	2	yes	complemented
636	#464	C₂²×C₁₃	1	2	yes	complemented
637	#464	C₂²×C₁₃	1	2	yes	complemented
638	#464	C₂²×C₁₃	1	2	yes	complemented
639	#463	C₂²×C₁₃	1	2	yes	—
640	#463	C₂²×C₁₃	1	2	yes	complemented
641	#463	C₂²×C₁₃	1	2	yes	complemented
642	#463	C₂²×C₁₃	1	2	yes	complemented
643	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	#460	C₂²×C₁₃	1	2	yes	complemented
648	#460	C₂²×C₁₃	1	2	yes	complemented
649	#459	C₂²×C₁₃	1	1	yes	characteristic
650	#459	C₂²×C₁₃	1	1	yes	characteristic
651	#459	C₂²×C₁₃	1	1	yes	characteristic
652	#459	C₂²×C₁₃	1	1	yes	characteristic
653	#459	C₂²×C₁₃	1	2	yes	complemented
654	#452	C₂²×C₁₃	1	2	yes	complemented
655	#452	C₂²×C₁₃	1	2	yes	complemented
656	#452	C₂²×C₁₃	1	2	yes	complemented
657	#452	C₂²×C₁₃	1	2	yes	complemented
658	#450	C₂²×C₁₃	1	2	yes	complemented
659	#449	C₂²×C₁₃	1	2	yes	—
660	#449	C₂²×C₁₃	1	2	yes	complemented
661	#447	C₂²×C₁₃	1	1	yes	characteristic
662	#447	C₂²×C₁₃	1	2	yes	—
663	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
664	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
666	#440	C₂²×C₁₃	1	2	yes	complemented
667	#440	C₂²×C₁₃	1	2	yes	complemented
668	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
669	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
670	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
671	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
672	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
673	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
674	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
675	#436	C₂²×C₁₃	1	2	yes	complemented
676	#435	C₂²×C₁₃	1	2	yes	complemented
677	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	#433	C₂²×C₁₃	1	2	yes	complemented
679	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
680	#424	C₂²×C₁₃	1	2	yes	complemented
681	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
682	#417	C₂²×C₁₃	1	2	yes	complemented
683	#417	C₂²×C₁₃	1	2	yes	complemented
684	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
685	C₂²×C₁₃	—	2	1	no	—
686	C₂²×C₁₃	—	2	2	no	—
687	C₂²×C₁₃	—	2	2	no	—
688	C₂²×C₁₃	—	2	1	no	—
689	C₂²×C₁₃	—	2	2	no	—
690	C₂²×C₁₃	—	2	1	no	—
691	C₂²×C₁₃	—	2	2	no	—
692	C₂²×C₁₃	—	4	1	no	—
693	C₂²×C₁₃	—	4	1	no	—
694	C₂²×C₁₃	—	4	1	no	—
695	C₂²×C₁₃	—	4	2	no	—
696	C₂²×C₁₃	—	4	1	no	—
697	C₂²×C₁₃	—	4	1	no	—
698	C₂²×C₁₃	—	4	1	no	—
699	C₂²×C₁₃	—	4	2	no	—
700	C₂²×C₁₃	—	4	1	no	—
701	C₂²×C₁₃	—	4	1	no	—
702	C₂²×C₁₃	—	4	1	no	—
703	C₂²×C₁₃	—	4	1	no	—
704	C₂²×C₁₃	—	4	1	no	—
705	C₂²×C₁₃	—	4	2	no	—
706	C₂²×C₁₃	—	8	4	no	—
707	C₂²×C₁₃	—	16	4	no	—
708	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
709	C₄×C₁₃	—	2	1	no	—
710	C₄×C₁₃	—	2	1	no	—
711	C₄×C₁₃	—	2	2	no	—
712	C₄×C₁₃	—	2	2	no	—
713	C₄×C₁₃	—	2	1	no	—
714	C₄×C₁₃	—	2	1	no	—
715	C₄×C₁₃	—	2	2	no	—
716	C₄×C₁₃	—	4	2	no	—
717	C₄×C₁₃	—	4	2	no	—
718	C₄×C₁₃	—	4	1	no	—
719	C₄×C₁₃	—	4	1	no	—
720	C₄×C₁₃	—	4	1	no	—
721	C₄×C₁₃	—	4	1	no	—
722	C₄×C₁₃	—	4	2	no	—
723	C₄×C₁₃	#576	1	2	yes	—
724	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
725	C₄×C₁₃	#585	1	1	yes	characteristic
726	C₂×#41	—	2	1	no	—
727	C₂×#41	—	2	1	no	—
728	C₂×#41	—	2	1	no	—
729	C₂×#41	C₂³×C₁₃	1	2	yes	—
730	C₂×#41	C₂³×C₁₃	1	2	yes	—
731	C₂×#41	C₂³×C₁₃	1	2	yes	—
732	C₂²×Q₈	—	2	1	no	—
733	C₂²×D₄	—	2	1	no	—
734	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
735	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
736	C₂³×C₄	—	2	1	no	—
737	AGL(1,ℤ/8)	—	4	4	no	—
738	AGL(1,ℤ/8)	—	4	4	no	—
739	#135	—	4	4	no	—
740	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
741	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
742	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
743	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
744	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
745	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
746	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
747	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
748	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
749	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
750	C₂×D₈	C₂³×C₁₃	1	2	yes	—
751	C₂×D₈	C₂³×C₁₃	1	2	yes	—
752	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
753	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
754	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
755	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
756	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
757	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
758	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
759	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
760	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
761	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
762	#127	—	2	2	no	—
763	#127	C₂³×C₁₃	1	1	yes	characteristic
764	#127	C₂³×C₁₃	1	1	yes	characteristic
765	#127	C₂³×C₁₃	1	2	yes	—
766	#126	—	2	2	no	—
767	#126	—	2	2	no	—
768	#126	—	2	2	no	—
769	#126	—	2	2	no	—
770	#126	D₄×C₁₃	1	2	yes	—
771	#125	—	2	2	no	—
772	#125	—	2	1	no	—
773	#125	D₄×C₁₃	1	1	yes	characteristic
774	#124	—	2	2	no	—
775	#124	—	2	2	no	—
776	#124	—	2	1	no	—
777	#124	D₄×C₁₃	1	1	yes	characteristic
778	#124	C₂³×C₁₃	1	2	yes	—
779	#124	C₂³×C₁₃	1	2	yes	—
780	#124	C₂³×C₁₃	1	2	yes	—
781	#123	—	2	2	no	—
782	#123	—	2	2	no	—
783	#123	—	2	2	no	—
784	#123	—	2	2	no	—
785	#123	—	2	2	no	—
786	#123	—	2	2	no	—
787	#123	—	2	2	no	—
788	#123	D₄×C₁₃	1	2	yes	—
789	C₂²⋊Q₈	—	2	1	no	—
790	C₂²⋊Q₈	—	2	1	no	—
791	C₂²⋊Q₈	—	2	1	no	—
792	C₂²⋊Q₈	—	2	2	no	—
793	C₂²⋊Q₈	—	2	1	no	—
794	C₂²⋊Q₈	—	2	1	no	—
795	C₂²⋊Q₈	—	2	2	no	—
796	C₂²⋊Q₈	—	2	2	no	—
797	C₂²⋊Q₈	—	2	2	no	—
798	C₂²⋊Q₈	—	2	2	no	—
799	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
800	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
801	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
802	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
803	#121	—	2	1	no	—
804	#121	—	2	1	no	—
805	#121	—	2	1	no	—
806	#121	—	2	1	no	—
807	#121	—	2	1	no	—
808	#121	—	2	1	no	—
809	#121	—	2	2	no	—
810	#121	—	2	2	no	—
811	#121	—	2	1	no	—
812	#121	—	2	2	no	—
813	#121	—	2	2	no	—
814	#121	—	2	2	no	—
815	#121	—	2	2	no	—
816	#121	—	2	2	no	—
817	#121	D₄×C₁₃	1	1	yes	characteristic
818	#121	C₂³×C₁₃	1	1	yes	characteristic
819	#121	C₂³×C₁₃	1	1	yes	characteristic
820	#121	C₂³×C₁₃	1	2	yes	—
821	#121	C₂³×C₁₃	1	2	yes	—
822	#120	—	2	2	no	—
823	#120	—	2	2	no	—
824	#120	—	2	2	no	—
825	#120	—	2	2	no	—
826	#120	—	2	2	no	—
827	C₄×Q₈	—	2	1	no	—
828	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
829	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
830	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
831	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
832	C₄×D₄	—	2	2	no	—
833	C₄×D₄	—	2	2	no	—
834	C₄×D₄	—	2	2	no	—
835	C₄×D₄	—	2	2	no	—
836	C₄×D₄	—	2	1	no	—
837	C₄×D₄	—	2	1	no	—
838	C₄×D₄	—	2	1	no	—
839	C₄×D₄	—	2	1	no	—
840	C₄×D₄	—	2	1	no	—
841	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
842	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
843	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
844	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
845	C₄×D₄	C₂³×C₁₃	1	2	yes	—
846	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
847	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
848	C₄×D₄	C₂³×C₁₃	1	2	yes	—
849	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
850	C₄×D₄	C₂³×C₁₃	1	2	yes	—
851	#117	—	2	1	no	—
852	#117	—	2	2	no	—
853	#117	—	2	1	no	—
854	#117	—	2	1	no	—
855	#117	C₂³×C₁₃	1	2	yes	—
856	C₂×C₄⋊C₄	—	2	2	no	—
857	C₂×C₄⋊C₄	—	2	1	no	—
858	C₂×C₄⋊C₄	—	2	1	no	—
859	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
860	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
861	C₂×C₂²⋊C₄	—	2	1	no	—
862	C₂×C₂²⋊C₄	—	2	2	no	—
863	C₂×C₂²⋊C₄	—	2	2	no	—
864	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
865	#107	C₂³×C₁₃	1	1	yes	characteristic
866	#107	C₂³×C₁₃	1	1	yes	characteristic
867	#107	C₂³×C₁₃	1	1	yes	characteristic
868	#107	C₂³×C₁₃	1	1	yes	characteristic
869	#107	C₂³×C₁₃	1	2	yes	—
870	#107	C₂³×C₁₃	1	2	yes	—
871	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
872	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
873	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
876	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
877	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
878	#103	C₂³×C₁₃	1	2	yes	—
879	#103	C₂³×C₁₃	1	2	yes	—
880	#103	C₂³×C₁₃	1	2	yes	—
881	#103	C₂³×C₁₃	1	2	yes	—
882	#103	C₂³×C₁₃	1	2	yes	—
883	#103	C₂³×C₁₃	1	2	yes	—
884	#102	C₂³×C₁₃	1	1	yes	characteristic
885	#102	C₂³×C₁₃	1	2	yes	—
886	#102	C₂³×C₁₃	1	2	yes	—
887	#102	C₂³×C₁₃	1	2	yes	—
888	#102	C₂³×C₁₃	1	1	yes	characteristic
889	#102	C₂³×C₁₃	1	2	yes	—
890	#102	C₂³×C₁₃	1	2	yes	—
891	#102	C₂³×C₁₃	1	1	yes	characteristic
892	#102	C₂³×C₁₃	1	1	yes	characteristic
893	#102	C₂³×C₁₃	1	1	yes	characteristic
894	#102	C₂³×C₁₃	1	1	yes	characteristic
895	#102	C₂³×C₁₃	1	2	yes	—
896	#102	C₂³×C₁₃	1	1	yes	characteristic
897	#102	C₂³×C₁₃	1	1	yes	characteristic
898	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
899	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
900	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
901	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
902	#97	C₂³×C₁₃	1	2	yes	—
903	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
904	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
905	C₄×C₈	C₂³×C₁₃	1	2	yes	—
906	C₂×C₁₃	—	4	1	no	—
907	C₂×C₁₃	—	4	2	no	—
908	C₂×C₁₃	—	4	2	no	—
909	C₂×C₁₃	—	8	1	no	—
910	C₂×C₁₃	—	8	1	no	—
911	C₂×C₁₃	—	8	2	no	—
912	C₂×C₁₃	—	8	1	no	—
913	C₂×C₁₃	#3488	1	1	yes	characteristic
914	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
915	C₂×C₁₃	#3586	1	1	yes	characteristic
916	C₂⁴	—	2	1	no	—
917	C₂⁴	—	2	2	no	—
918	#41	—	2	4	no	—
919	#41	—	4	2	no	—
920	#41	—	4	2	no	—
921	#41	—	4	2	no	—
922	#41	—	4	2	no	—
923	#41	—	4	2	no	—
924	#41	—	8	2	no	—
925	#41	—	8	2	no	—
926	#41	—	8	2	no	—
927	C₂×Q₈	—	2	1	no	—
928	C₂×Q₈	—	2	2	no	—
929	C₂×Q₈	—	2	1	no	—
930	C₂×Q₈	—	8	2	no	—
931	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
932	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
933	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
934	C₂×D₄	—	2	2	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	1	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	2	no	—
940	C₂×D₄	—	2	2	no	—
941	C₂×D₄	—	2	1	no	—
942	C₂×D₄	—	2	1	no	—
943	C₂×D₄	—	2	1	no	—
944	C₂×D₄	—	2	1	no	—
945	C₂×D₄	—	2	1	no	—
946	C₂×D₄	—	2	2	no	—
947	C₂×D₄	—	2	1	no	—
948	C₂×D₄	—	2	2	no	—
949	C₂×D₄	—	2	2	no	—
950	C₂×D₄	—	4	1	no	—
951	C₂×D₄	—	4	2	no	—
952	C₂×D₄	—	4	2	no	—
953	C₂×D₄	—	8	2	no	—
954	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
955	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
956	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
957	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
958	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
959	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
961	C₂²×C₄	—	2	1	no	—
962	C₂²×C₄	—	2	2	no	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	2	1	no	—
965	C₂²×C₄	—	2	1	no	—
966	C₂²×C₄	—	2	1	no	—
967	C₂²×C₄	—	2	1	no	—
968	C₂²×C₄	—	2	2	no	—
969	C₂²×C₄	—	2	2	no	—
970	C₂²×C₄	—	2	2	no	—
971	C₂²×C₄	—	2	1	no	—
972	C₂²×C₄	—	2	2	no	—
973	C₂²×C₄	—	2	1	no	—
974	C₂²×C₄	—	8	2	no	—
975	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
976	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
977	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
978	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
979	Q₁₆	—	4	2	no	—
980	Q₁₆	—	4	2	no	—
981	SD₁₆	—	2	4	no	—
982	SD₁₆	—	4	2	no	—
983	SD₁₆	—	4	2	no	—
984	SD₁₆	—	4	2	no	—
985	SD₁₆	—	4	2	no	—
986	SD₁₆	—	4	2	no	—
987	D₈	—	2	2	no	—
988	D₈	—	2	4	no	—
989	D₈	—	2	2	no	—
990	D₈	—	4	2	no	—
991	D₈	—	4	1	no	—
992	D₈	—	4	1	no	—
993	M₁₆	—	4	2	no	—
994	M₁₆	—	4	2	no	—
995	C₂×C₈	—	4	2	no	—
996	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
997	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1000	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1001	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1002	C₄⋊C₄	—	2	2	no	—
1003	C₄⋊C₄	—	2	1	no	—
1004	C₄⋊C₄	—	2	1	no	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	1	no	—
1010	C₄⋊C₄	—	2	1	no	—
1011	C₄⋊C₄	—	2	1	no	—
1012	C₄⋊C₄	—	2	1	no	—
1013	C₄⋊C₄	—	2	1	no	—
1014	C₄⋊C₄	—	2	2	no	—
1015	C₄⋊C₄	—	2	2	no	—
1016	C₄⋊C₄	—	2	2	no	—
1017	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1018	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1019	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1020	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1021	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1022	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1023	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1024	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1025	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1026	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1027	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	1	no	—
1033	C₂²⋊C₄	—	2	1	no	—
1034	C₂²⋊C₄	—	2	1	no	—
1035	C₂²⋊C₄	—	2	1	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	—	2	1	no	—
1043	C₂²⋊C₄	—	2	2	no	—
1044	C₂²⋊C₄	—	2	2	no	—
1045	C₂²⋊C₄	—	2	2	no	—
1046	C₂²⋊C₄	—	2	1	no	—
1047	C₂²⋊C₄	—	2	2	no	—
1048	C₂²⋊C₄	—	2	1	no	—
1049	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1050	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1051	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1052	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1053	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1054	C₄²	—	2	2	no	—
1055	C₄²	—	2	2	no	—
1056	C₄²	—	2	2	no	—
1057	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1058	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1059	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1060	C₄²	C₂⁴×C₁₃	1	2	yes	—
1061	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1062	C₁₃	#62041	1	1	yes	characteristic, direct product factor, Sylow
1063	C₂³	—	2	1	no	—
1064	C₂³	—	2	1	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	2	2	no	—
1067	C₂³	—	2	1	no	—
1068	C₂³	—	4	2	no	—
1069	C₂³	—	4	2	no	—
1070	C₂³	—	8	1	no	—
1071	C₂³	—	8	2	no	—
1072	C₂³	—	8	2	no	—
1073	C₂³	—	8	2	no	—
1074	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1075	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1076	Q₈	—	2	2	no	—
1077	Q₈	—	2	2	no	—
1078	Q₈	—	2	2	no	—
1079	Q₈	—	2	2	no	—
1080	Q₈	—	2	2	no	—
1081	Q₈	—	4	2	no	—
1082	Q₈	—	8	2	no	—
1083	Q₈	—	8	1	no	—
1084	D₄	—	2	2	no	—
1085	D₄	—	2	2	no	—
1086	D₄	—	2	1	no	—
1087	D₄	—	2	1	no	—
1088	D₄	—	2	1	no	—
1089	D₄	—	2	1	no	—
1090	D₄	—	2	1	no	—
1091	D₄	—	2	1	no	—
1092	D₄	—	2	1	no	—
1093	D₄	—	2	2	no	—
1094	D₄	—	4	2	no	—
1095	D₄	—	4	2	no	—
1096	D₄	—	4	4	no	—
1097	D₄	—	4	2	no	—
1098	D₄	—	8	2	no	—
1099	D₄	—	8	1	no	—
1100	D₄	—	8	1	no	—
1101	D₄	—	8	2	no	—
1102	D₄	—	8	1	no	—
1103	D₄	—	8	2	no	—
1104	D₄	—	8	2	no	—
1105	D₄	—	8	2	no	—
1106	D₄	—	8	2	no	—
1107	D₄	—	8	1	no	—
1108	D₄	—	8	1	no	—
1109	D₄	—	8	2	no	—
1110	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1111	C₂×C₄	—	2	2	no	—
1112	C₂×C₄	—	2	2	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	2	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	2	no	—
1120	C₂×C₄	—	2	2	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	4	1	no	—
1124	C₂×C₄	—	4	4	no	—
1125	C₂×C₄	—	4	2	no	—
1126	C₂×C₄	—	4	2	no	—
1127	C₂×C₄	—	4	2	no	—
1128	C₂×C₄	—	4	2	no	—
1129	C₂×C₄	—	8	1	no	—
1130	C₂×C₄	—	8	1	no	—
1131	C₂×C₄	—	8	2	no	—
1132	C₂×C₄	—	8	2	no	—
1133	C₂×C₄	—	8	2	no	—
1134	C₂×C₄	—	8	2	no	—
1135	C₂×C₄	—	8	1	no	—
1136	C₂×C₄	—	8	2	no	—
1137	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1138	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1139	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1140	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1141	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1142	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1143	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1144	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1145	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1146	C₈	—	2	1	no	—
1147	C₈	—	2	2	no	—
1148	C₈	—	2	1	no	—
1149	C₈	—	2	2	no	—
1150	C₈	—	2	1	no	—
1151	C₈	—	2	1	no	—
1152	C₂²	—	2	1	no	—
1153	C₂²	—	2	2	no	—
1154	C₂²	—	2	1	no	—
1155	C₂²	—	2	2	no	—
1156	C₂²	—	2	2	no	—
1157	C₂²	—	2	1	no	—
1158	C₂²	—	2	2	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	1	no	—
1161	C₂²	—	4	1	no	—
1162	C₂²	—	4	1	no	—
1163	C₂²	—	4	1	no	—
1164	C₂²	—	4	2	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	2	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	4	2	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	—	4	1	no	—
1173	C₂²	—	8	4	no	—
1174	C₂²	—	16	4	no	—
1175	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1176	C₄	—	2	1	no	—
1177	C₄	—	2	2	no	—
1178	C₄	—	2	1	no	—
1179	C₄	—	2	1	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	2	2	no	—
1182	C₄	—	2	1	no	—
1183	C₄	—	4	1	no	—
1184	C₄	—	4	1	no	—
1185	C₄	—	4	1	no	—
1186	C₄	—	4	1	no	—
1187	C₄	—	4	2	no	—
1188	C₄	—	4	2	no	—
1189	C₄	—	4	2	no	—
1190	C₄	C₁₃×#576	1	2	yes	—
1191	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1192	C₄	C₁₃×#585	1	1	yes	characteristic
1193	C₂	—	4	1	no	—
1194	C₂	—	4	2	no	—
1195	C₂	—	4	2	no	—
1196	C₂	—	8	1	no	—
1197	C₂	—	8	1	no	—
1198	C₂	—	8	2	no	—
1199	C₂	—	8	1	no	—
1200	C₂	C₁₃×#3488	1	1	yes	characteristic
1201	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1202	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3546	C₂	semidirect
2. C₁₃×#3520	C₂	semidirect
3. C₁₃×#3397	C₂	semidirect
4. C₁₃×#3393	C₂	semidirect
5. C₁₃×#3367	C₂	semidirect
6. C₁₃×#3358	C₂	semidirect
7. C₁₃×#3333	C₂	semidirect
8. C₁₃×#3330	C₂	semidirect
9. C₁₃×#3314	C₂	semidirect
10. C₁₃×#3294	C₂	semidirect
11. C₁₃×#3283	C₂	semidirect
12. C₁₃×#3273	C₂	semidirect
13. C₁₃×#3272	C₂	semidirect
14. C₁₃×#3268	C₂	semidirect
15. C₁₃×#3262	C₂	semidirect
16. C₁₃×#3254	C₂	semidirect
17. C₁₃×#3224	C₂	semidirect
18. C₁₃×#3210	C₂	semidirect
19. C₁₃×#3124	C₂	semidirect
20. C₁₃×#3100	C₂	semidirect
21. C₁₃×#3045	C₂	semidirect
22. C₁₃×#3036	C₂	semidirect
23. C₁₃×#2993	C₂	semidirect
25. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
26. C₂×C₁₃×#135	C₂²	semidirect
28. C₁₃×#556	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
30. C₁₃×#554	C₂²	semidirect
35. C₁₃×#550	C₂²	semidirect
36. D₄×Q₈×C₁₃	C₂²	semidirect
40. C₁₃×#547	C₂²	semidirect
43. C₁₃×#546	C₂²	semidirect
44. D₄²×C₁₃	C₂²	semidirect
45. C₁₃×#542	C₂²	semidirect
46. C₁₃×#542	C₂²	semidirect
51. C₁₃×#535	C₂²	semidirect
52. C₁₃×#533	C₂²	semidirect
58. C₁₃×#520	C₂²	semidirect
59. C₂×C₄×D₄×C₁₃	C₂²	semidirect
60. C₁₃×#496	C₂²	semidirect
62. C₁₃×#494	C₂²	semidirect
63. C₁₃×#492	C₂²	semidirect
64. C₁₃×#489	C₂²	semidirect
65. C₁₃×#487	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
67. C₁₃×#486	C₂²	semidirect
68. C₁₃×#484	C₂²	semidirect
70. C₁₃×#480	C₂²	semidirect
71. C₁₃×#480	C₂²	semidirect
72. C₁₃×#477	C₂²	semidirect
73. C₁₃×#477	C₂²	semidirect
74. C₁₃×#474	C₂²	semidirect
75. C₁₃×#474	C₂²	semidirect
76. C₁₃×#474	C₂²	semidirect
77. C₁₃×#474	C₂²	semidirect
78. C₁₃×#474	C₂²	semidirect
80. C₁₃×#468	C₂²	semidirect
81. C₁₃×#468	C₂²	semidirect
82. C₁₃×#468	C₂²	semidirect
83. C₁₃×#467	C₂²	semidirect
85. C₁₃×#464	C₂²	semidirect
86. C₁₃×#464	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
90. C₁₃×#463	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#463	C₂²	semidirect
93. C₁₃×#461	C₂²	semidirect
94. C₁₃×#461	C₂²	semidirect
95. C₁₃×#461	C₂²	semidirect
96. C₁₃×#461	C₂²	semidirect
97. C₁₃×#460	C₂²	semidirect
98. C₁₃×#460	C₂²	semidirect
103. C₁₃×#459	C₂²	semidirect
104. C₁₃×#452	C₂²	semidirect
105. C₁₃×#452	C₂²	semidirect
106. C₁₃×#452	C₂²	semidirect
107. C₁₃×#452	C₂²	semidirect
108. C₁₃×#450	C₂²	semidirect
110. C₁₃×#449	C₂²	semidirect
113. C₁₃×#447	C₂²	semidirect
114. C₁₃×#446	C₂²	semidirect
115. C₈×Q₈×C₁₃	C₂²	semidirect
116. C₁₃×#440	C₂²	semidirect
117. C₁₃×#440	C₂²	semidirect
118. C₄×C₁₃×Q₁₆	C₂²	semidirect
121. C₄×C₁₃×D₈	C₂²	semidirect
122. C₄×C₁₃×D₈	C₂²	semidirect
123. C₄×C₁₃×D₈	C₂²	semidirect
124. C₁₃×#436	C₂²	semidirect
125. C₁₃×#436	C₂²	semidirect
126. C₁₃×#435	C₂²	semidirect
127. C₈×D₄×C₁₃	C₂²	semidirect
128. C₁₃×#433	C₂²	semidirect
129. C₁₃×#431	C₂²	semidirect
130. C₁₃×#424	C₂²	semidirect
131. C₁₃×#423	C₂²	semidirect
132. C₁₃×#417	C₂²	semidirect
133. C₁₃×#417	C₂²	semidirect
134. C₂×C₁₃×#102	C₂²	semidirect
315. #62041	C₁₃	direct (N × H)
462. #3546	C₂×C₁₃	semidirect
463. #3520	C₂×C₁₃	semidirect
464. #3397	C₂×C₁₃	semidirect
465. #3393	C₂×C₁₃	semidirect
466. #3367	C₂×C₁₃	semidirect
467. #3358	C₂×C₁₃	semidirect
468. #3333	C₂×C₁₃	semidirect
469. #3330	C₂×C₁₃	semidirect
470. #3314	C₂×C₁₃	semidirect
471. #3294	C₂×C₁₃	semidirect
472. #3283	C₂×C₁₃	semidirect
473. #3273	C₂×C₁₃	semidirect
474. #3272	C₂×C₁₃	semidirect
475. #3268	C₂×C₁₃	semidirect
476. #3262	C₂×C₁₃	semidirect
477. #3254	C₂×C₁₃	semidirect
478. #3224	C₂×C₁₃	semidirect
479. #3210	C₂×C₁₃	semidirect
480. #3124	C₂×C₁₃	semidirect
481. #3100	C₂×C₁₃	semidirect
482. #3045	C₂×C₁₃	semidirect
483. #3036	C₂×C₁₃	semidirect
484. #2993	C₂×C₁₃	semidirect
575. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
576. C₂×#135	C₂²×C₁₃	semidirect
578. #556	C₂²×C₁₃	semidirect
579. #556	C₂²×C₁₃	semidirect
580. #554	C₂²×C₁₃	semidirect
585. #550	C₂²×C₁₃	semidirect
586. D₄×Q₈	C₂²×C₁₃	semidirect
590. #547	C₂²×C₁₃	semidirect
593. #546	C₂²×C₁₃	semidirect
594. D₄²	C₂²×C₁₃	semidirect
595. #542	C₂²×C₁₃	semidirect
596. #542	C₂²×C₁₃	semidirect
601. #535	C₂²×C₁₃	semidirect
602. #533	C₂²×C₁₃	semidirect
608. #520	C₂²×C₁₃	semidirect
609. C₂×C₄×D₄	C₂²×C₁₃	semidirect
610. #496	C₂²×C₁₃	semidirect
612. #494	C₂²×C₁₃	semidirect
613. #492	C₂²×C₁₃	semidirect
614. #489	C₂²×C₁₃	semidirect
615. #487	C₂²×C₁₃	semidirect
616. #486	C₂²×C₁₃	semidirect
617. #486	C₂²×C₁₃	semidirect
618. #484	C₂²×C₁₃	semidirect
620. #480	C₂²×C₁₃	semidirect
621. #480	C₂²×C₁₃	semidirect
622. #477	C₂²×C₁₃	semidirect
623. #477	C₂²×C₁₃	semidirect
624. #474	C₂²×C₁₃	semidirect
625. #474	C₂²×C₁₃	semidirect
626. #474	C₂²×C₁₃	semidirect
627. #474	C₂²×C₁₃	semidirect
628. #474	C₂²×C₁₃	semidirect
630. #468	C₂²×C₁₃	semidirect
631. #468	C₂²×C₁₃	semidirect
632. #468	C₂²×C₁₃	semidirect
633. #467	C₂²×C₁₃	semidirect
635. #464	C₂²×C₁₃	semidirect
636. #464	C₂²×C₁₃	semidirect
637. #464	C₂²×C₁₃	semidirect
638. #464	C₂²×C₁₃	semidirect
640. #463	C₂²×C₁₃	semidirect
641. #463	C₂²×C₁₃	semidirect
642. #463	C₂²×C₁₃	semidirect
643. #461	C₂²×C₁₃	semidirect
644. #461	C₂²×C₁₃	semidirect
645. #461	C₂²×C₁₃	semidirect
646. #461	C₂²×C₁₃	semidirect
647. #460	C₂²×C₁₃	semidirect
648. #460	C₂²×C₁₃	semidirect
653. #459	C₂²×C₁₃	semidirect
654. #452	C₂²×C₁₃	semidirect
655. #452	C₂²×C₁₃	semidirect
656. #452	C₂²×C₁₃	semidirect
657. #452	C₂²×C₁₃	semidirect
658. #450	C₂²×C₁₃	semidirect
660. #449	C₂²×C₁₃	semidirect
663. #447	C₂²×C₁₃	semidirect
664. #446	C₂²×C₁₃	semidirect
665. C₈×Q₈	C₂²×C₁₃	semidirect
666. #440	C₂²×C₁₃	semidirect
667. #440	C₂²×C₁₃	semidirect
668. C₄×Q₁₆	C₂²×C₁₃	semidirect
671. C₄×D₈	C₂²×C₁₃	semidirect
672. C₄×D₈	C₂²×C₁₃	semidirect
673. C₄×D₈	C₂²×C₁₃	semidirect
674. #436	C₂²×C₁₃	semidirect
675. #436	C₂²×C₁₃	semidirect
676. #435	C₂²×C₁₃	semidirect
677. C₈×D₄	C₂²×C₁₃	semidirect
678. #433	C₂²×C₁₃	semidirect
679. #431	C₂²×C₁₃	semidirect
680. #424	C₂²×C₁₃	semidirect
681. #423	C₂²×C₁₃	semidirect
682. #417	C₂²×C₁₃	semidirect
683. #417	C₂²×C₁₃	semidirect
684. C₂×#102	C₂²×C₁₃	semidirect
1062. C₁₃	#62041	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×#3520	2
C₁₃×#3397	2
C₁₃×#3393	2
C₁₃×#3367	2
C₁₃×#3358	2
C₁₃×#3333	2
C₁₃×#3330	2
C₁₃×#3314	2
C₁₃×#3294	2
C₁₃×#3283	2
C₁₃×#3273	2
C₁₃×#3272	2
C₁₃×#3268	2
C₁₃×#3262	2
C₁₃×#3254	2
C₁₃×#3224	2
C₁₃×#3210	2
C₁₃×#3124	2
C₁₃×#3100	2
C₁₃×#3045	2
C₁₃×#3036	2
C₁₃×#2993	2
#62041	13

Subgroups — C13×#62041 #15748380

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62041 #15748380