Subgroups — C₁₃×#62118 #15748457

Order 3328.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1250 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3480	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3390	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3351	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3350	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3349	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3327	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3317	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3313	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3254	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3248	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3239	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3235	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3113	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3079	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3078	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2989	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#559	—	2	1	no	—
25	C₁₃×#559	C₂²	1	1	yes	characteristic
26	C₁₃×#557	—	2	1	no	—
27	C₁₃×#557	C₂²	1	2	yes	—
28	C₁₃×#557	C₂²	1	1	yes	characteristic
29	C₁₃×#556	—	2	1	no	—
30	C₁₃×#556	—	2	1	no	—
31	C₁₃×#556	C₂²	1	2	yes	—
32	C₁₃×#556	C₂²	1	1	yes	characteristic
33	C₁₃×#553	—	2	1	no	—
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#553	C₂²	1	1	yes	characteristic
36	C₁₃×#553	C₂²	1	1	yes	characteristic
37	C₁₃×#552	—	2	1	no	—
38	C₁₃×#552	—	2	1	no	—
39	C₁₃×#552	C₂²	1	2	yes	—
40	C₁₃×#552	C₂²	1	2	yes	—
41	C₁₃×#550	C₂²	1	1	yes	characteristic
42	C₁₃×#548	C₂²	1	1	yes	characteristic
43	C₁₃×#548	C₂²	1	1	yes	characteristic
44	C₁₃×#541	—	2	1	no	—
45	C₁₃×#541	—	2	1	no	—
46	C₁₃×#536	—	2	1	no	—
47	C₁₃×#533	C₂²	1	1	yes	characteristic
48	C₁₃×#533	C₂²	1	1	yes	characteristic
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#533	C₂²	1	1	yes	characteristic
52	C₁₃×#532	—	2	1	no	—
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
55	C₁₃×#529	—	2	1	no	—
56	C₁₃×#529	—	2	1	no	—
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#529	C₂²	1	1	yes	characteristic
59	C₁₃×#519	—	2	1	no	—
60	C₄×C₁₃×#41	—	2	1	no	—
61	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
62	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
63	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
64	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	—
66	C₁₃×#501	C₂²	1	2	yes	—
67	C₁₃×#499	C₂²	1	2	yes	—
68	C₁₃×#490	C₂²	1	2	yes	—
69	C₁₃×#489	C₂²	1	2	yes	—
70	C₁₃×#488	C₂²	1	2	yes	—
71	C₁₃×#485	C₂²	1	2	yes	—
72	C₁₃×#485	C₂²	1	2	yes	—
73	C₁₃×#485	C₂²	1	2	yes	—
74	C₁₃×#484	C₂²	1	2	yes	—
75	C₁₃×#483	C₂²	1	2	yes	—
76	C₁₃×#482	C₂²	1	2	yes	—
77	C₁₃×#482	C₂²	1	2	yes	—
78	C₁₃×#482	C₂²	1	2	yes	—
79	C₁₃×#481	C₂²	1	2	yes	—
80	C₁₃×#479	C₂²	1	2	yes	—
81	C₁₃×#479	C₂²	1	2	yes	—
82	C₁₃×#479	C₂²	1	2	yes	—
83	C₁₃×#479	C₂²	1	2	yes	—
84	C₁₃×#479	C₂²	1	2	yes	—
85	C₁₃×#478	C₂²	1	2	yes	—
86	C₁₃×#477	C₂²	1	2	yes	—
87	C₁₃×#477	C₂²	1	1	yes	characteristic
88	C₁₃×#477	C₂²	1	1	yes	characteristic
89	C₁₃×#477	C₂²	1	2	yes	—
90	C₁₃×#476	C₂²	1	1	yes	characteristic
91	C₁₃×#476	C₂²	1	2	yes	—
92	C₁₃×#476	C₂²	1	1	yes	characteristic
93	C₁₃×#475	C₂²	1	1	yes	characteristic
94	C₁₃×#475	C₂²	1	1	yes	characteristic
95	C₁₃×#475	C₂²	1	1	yes	characteristic
96	C₁₃×#475	C₂²	1	1	yes	characteristic
97	C₁₃×#474	C₂²	1	1	yes	characteristic
98	C₁₃×#474	C₂²	1	1	yes	characteristic
99	C₁₃×#474	C₂²	1	1	yes	characteristic
100	C₁₃×#474	C₂²	1	1	yes	characteristic
101	C₁₃×#470	C₂²	1	2	yes	—
102	C₁₃×#468	C₂²	1	2	yes	—
103	C₁₃×#468	C₂²	1	2	yes	—
104	C₁₃×#468	C₂²	1	2	yes	—
105	C₁₃×#467	C₂²	1	2	yes	—
106	C₁₃×#465	C₂²	1	2	yes	—
107	C₁₃×#464	C₂²	1	2	yes	—
108	C₁₃×#464	C₂²	1	2	yes	—
109	C₁₃×#462	C₂²	1	1	yes	characteristic
110	C₁₃×#462	C₂²	1	1	yes	characteristic
111	C₁₃×#461	C₂²	1	1	yes	characteristic
112	C₁₃×#461	C₂²	1	1	yes	characteristic
113	C₁₃×#460	C₂²	1	2	yes	—
114	C₁₃×#452	C₂²	1	2	yes	—
115	C₁₃×#452	C₂²	1	2	yes	—
116	C₁₃×#451	C₂²	1	2	yes	—
117	C₁₃×#446	C₂²	1	2	yes	—
118	C₁₃×#441	C₂²	1	2	yes	—
119	C₁₃×#441	C₂²	1	2	yes	—
120	C₁₃×#441	C₂²	1	2	yes	—
121	C₁₃×#440	C₂²	1	2	yes	—
122	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
123	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
124	C₁₃×#436	C₂²	1	2	yes	—
125	C₁₃×#435	C₂²	1	2	yes	—
126	C₁₃×#435	C₂²	1	2	yes	—
127	C₁₃×#432	C₂²	1	1	yes	characteristic
128	C₁₃×#432	C₂²	1	1	yes	characteristic
129	C₁₃×#431	C₂²	1	1	yes	characteristic
130	C₁₃×#428	C₂²	1	2	yes	—
131	C₁₃×#428	C₂²	1	2	yes	—
132	C₁₃×#427	C₂²	1	2	yes	—
133	C₁₃×#423	C₂²	1	1	yes	characteristic
134	C₁₃×#423	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
136	C₁₃×#419	C₂²	1	2	yes	—
137	C₁₃×#417	C₂²	1	2	yes	—
138	C₁₃×#416	C₂²	1	2	yes	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
143	C₂²×Q₈×C₁₃	—	2	1	no	—
144	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
151	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
152	C₁₃×C₄⋊Q₈	—	2	1	no	—
153	C₁₃×C₄⋊Q₈	—	2	2	no	—
154	C₁₃×C₄⋊Q₈	—	2	1	no	—
155	C₁₃×C₄⋊Q₈	—	2	1	no	—
156	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
157	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
158	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×#127	—	2	1	no	—
163	C₁₃×#127	C₂³	1	1	yes	characteristic
164	C₁₃×#126	—	2	1	no	—
165	C₁₃×#126	—	2	1	no	—
166	C₁₃×#126	—	2	1	no	—
167	C₁₃×#126	—	2	1	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	—	2	2	no	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	—	2	1	no	—
182	C₁₃×#125	—	2	1	no	—
183	C₁₃×#125	C₂³	1	2	yes	—
184	C₁₃×#125	C₂³	1	2	yes	—
185	C₁₃×#125	C₂³	1	1	yes	characteristic
186	C₁₃×#125	C₂³	1	1	yes	characteristic
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	—	2	2	no	—
190	C₁₃×#124	—	2	1	no	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	C₂³	1	1	yes	characteristic
194	C₁₃×#124	C₂³	1	1	yes	characteristic
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	1	no	—
198	C₁₃×#123	—	2	1	no	—
199	C₁₃×#123	—	2	1	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	1	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	1	no	—
206	C₁₃×C₂²⋊Q₈	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	—	2	1	no	—
208	C₁₃×C₂²⋊Q₈	—	2	1	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	—	2	1	no	—
211	C₁₃×C₂²⋊Q₈	—	2	1	no	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
216	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	1	no	—
219	C₁₃×#121	—	2	1	no	—
220	C₁₃×#121	—	2	1	no	—
221	C₁₃×#121	—	2	1	no	—
222	C₁₃×#121	—	2	1	no	—
223	C₁₃×#121	—	2	1	no	—
224	C₁₃×#121	C₂³	1	1	yes	characteristic
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	C₄×Q₈×C₁₃	—	2	1	no	—
229	C₄×Q₈×C₁₃	—	2	1	no	—
230	C₄×Q₈×C₁₃	—	2	2	no	—
231	C₄×Q₈×C₁₃	—	2	2	no	—
232	C₄×Q₈×C₁₃	—	2	1	no	—
233	C₄×Q₈×C₁₃	—	2	1	no	—
234	C₄×Q₈×C₁₃	—	2	1	no	—
235	C₄×Q₈×C₁₃	—	2	1	no	—
236	C₄×Q₈×C₁₃	—	2	1	no	—
237	C₄×Q₈×C₁₃	—	2	1	no	—
238	C₄×Q₈×C₁₃	—	2	1	no	—
239	C₄×Q₈×C₁₃	—	2	1	no	—
240	C₄×Q₈×C₁₃	—	2	1	no	—
241	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
242	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
243	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
245	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
246	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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×D₄×C₁₃	—	2	1	no	—
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	1	no	—
260	C₄×D₄×C₁₃	—	2	1	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
266	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
267	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
268	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
269	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
270	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
271	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
272	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
274	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
275	C₁₃×#117	—	2	1	no	—
276	C₁₃×#117	—	2	1	no	—
277	C₁₃×#117	—	2	1	no	—
278	C₁₃×#117	—	2	2	no	—
279	C₁₃×#117	—	2	2	no	—
280	C₁₃×#117	—	2	1	no	—
281	C₁₃×#117	—	2	1	no	—
282	C₁₃×#117	—	2	1	no	—
283	C₁₃×#117	—	2	1	no	—
284	C₁₃×#117	D₄	1	1	yes	characteristic
285	C₁₃×#117	D₄	1	1	yes	characteristic
286	C₁₃×#117	D₄	1	1	yes	characteristic
287	C₁₃×#117	C₂³	1	2	yes	—
288	C₁₃×#117	C₂³	1	2	yes	—
289	C₁₃×#117	C₂³	1	1	yes	characteristic
290	C₁₃×#117	C₂³	1	1	yes	characteristic
291	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
292	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
293	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
294	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₁₃	—	2	1	no	—
296	C₂×C₄²×C₁₃	—	2	1	no	—
297	C₂×C₄²×C₁₃	—	2	1	no	—
298	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
301	C₁₃×#107	C₂³	1	2	yes	—
302	C₁₃×#107	C₂³	1	2	yes	—
303	C₁₃×#107	C₂³	1	2	yes	—
304	C₁₃×#107	C₂³	1	2	yes	—
305	C₁₃×#107	C₂³	1	2	yes	—
306	C₁₃×#107	C₂³	1	2	yes	—
307	C₁₃×#106	C₂³	1	2	yes	—
308	C₁₃×#106	C₂³	1	2	yes	—
309	C₁₃×#106	C₂³	1	2	yes	—
310	C₁₃×#106	C₂³	1	2	yes	—
311	C₁₃×#106	C₂³	1	2	yes	—
312	C₁₃×#106	C₂³	1	2	yes	—
313	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
318	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
319	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	C₁₃×#103	C₂³	1	2	yes	—
321	C₁₃×#103	C₂³	1	2	yes	—
322	C₁₃×#103	C₂³	1	2	yes	—
323	C₁₃×#103	C₂³	1	2	yes	—
324	C₁₃×#103	C₂³	1	2	yes	—
325	C₁₃×#103	C₂³	1	2	yes	—
326	C₁₃×#103	C₂³	1	2	yes	—
327	C₁₃×#103	C₂³	1	2	yes	—
328	C₁₃×#103	C₂³	1	2	yes	—
329	C₁₃×#103	C₂³	1	2	yes	—
330	C₁₃×#102	C₂³	1	2	yes	—
331	C₁₃×#102	C₂³	1	2	yes	—
332	C₁₃×#102	C₂³	1	2	yes	—
333	C₁₃×#102	C₂³	1	2	yes	—
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×#102	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₁₃×#97	C₂³	1	2	yes	—
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#62118	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₁₃×#41	—	2	2	no	—
344	C₁₃×#41	—	2	2	no	—
345	C₁₃×#41	—	4	2	no	—
346	C₁₃×#41	—	4	1	no	—
347	C₁₃×#41	—	4	1	no	—
348	C₁₃×#41	—	4	4	no	—
349	C₂×Q₈×C₁₃	—	2	1	no	—
350	C₂×Q₈×C₁₃	—	2	1	no	—
351	C₂×Q₈×C₁₃	—	2	1	no	—
352	C₂×Q₈×C₁₃	—	2	1	no	—
353	C₂×Q₈×C₁₃	—	2	1	no	—
354	C₂×Q₈×C₁₃	—	2	2	no	—
355	C₂×Q₈×C₁₃	—	2	2	no	—
356	C₂×Q₈×C₁₃	—	4	1	no	—
357	C₂×Q₈×C₁₃	—	4	4	no	—
358	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
361	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	1	no	—
367	C₂×D₄×C₁₃	—	2	1	no	—
368	C₂×D₄×C₁₃	—	2	1	no	—
369	C₂×D₄×C₁₃	—	2	1	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	1	yes	characteristic
373	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	—	2	1	no	—
376	C₂²×C₄×C₁₃	—	2	2	no	—
377	C₂²×C₄×C₁₃	—	2	1	no	—
378	C₂²×C₄×C₁₃	—	2	1	no	—
379	C₂²×C₄×C₁₃	—	2	1	no	—
380	C₂²×C₄×C₁₃	—	2	1	no	—
381	C₂²×C₄×C₁₃	—	2	1	no	—
382	C₂²×C₄×C₁₃	—	2	1	no	—
383	C₂²×C₄×C₁₃	—	2	1	no	—
384	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₁₃×Q₁₆	—	2	4	no	—
394	C₁₃×Q₁₆	—	4	2	no	—
395	C₁₃×SD₁₆	—	4	2	no	—
396	C₁₃×SD₁₆	—	4	2	no	—
397	C₁₃×M₁₆	—	4	2	no	—
398	C₁₃×M₁₆	—	4	2	no	—
399	C₂×C₈×C₁₃	—	4	2	no	—
400	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
401	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
402	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
403	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	1	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	1	no	—
409	C₁₃×C₄⋊C₄	—	2	1	no	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	2	1	no	—
412	C₁₃×C₄⋊C₄	—	2	2	no	—
413	C₁₃×C₄⋊C₄	—	2	1	no	—
414	C₁₃×C₄⋊C₄	—	2	1	no	—
415	C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₁₃×C₄⋊C₄	—	2	1	no	—
417	C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₁₃×C₄⋊C₄	—	2	1	no	—
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	2	no	—
423	C₁₃×C₄⋊C₄	—	2	2	no	—
424	C₁₃×C₄⋊C₄	—	2	2	no	—
425	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
430	C₁₃×C₄⋊C₄	—	2	2	no	—
431	C₁₃×C₄⋊C₄	—	2	2	no	—
432	C₁₃×C₄⋊C₄	—	2	2	no	—
433	C₁₃×C₄⋊C₄	—	2	2	no	—
434	C₁₃×C₄⋊C₄	—	2	2	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	1	yes	characteristic
438	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
439	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
440	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
441	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
442	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
443	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
444	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
445	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
446	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
448	C₁₃×C₂²⋊C₄	—	2	2	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	—	2	2	no	—
451	C₁₃×C₂²⋊C₄	—	2	1	no	—
452	C₁₃×C₂²⋊C₄	—	2	1	no	—
453	C₁₃×C₂²⋊C₄	—	2	2	no	—
454	C₁₃×C₂²⋊C₄	—	2	2	no	—
455	C₁₃×C₂²⋊C₄	—	2	1	no	—
456	C₁₃×C₂²⋊C₄	—	2	1	no	—
457	C₁₃×C₂²⋊C₄	—	2	1	no	—
458	C₁₃×C₂²⋊C₄	—	2	1	no	—
459	C₁₃×C₂²⋊C₄	—	2	1	no	—
460	C₁₃×C₂²⋊C₄	—	2	1	no	—
461	C₁₃×C₂²⋊C₄	—	2	1	no	—
462	C₁₃×C₂²⋊C₄	—	2	1	no	—
463	C₁₃×C₂²⋊C₄	—	2	1	no	—
464	C₁₃×C₂²⋊C₄	—	2	1	no	—
465	C₁₃×C₂²⋊C₄	—	2	1	no	—
466	C₁₃×C₂²⋊C₄	—	2	1	no	—
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	no	—
469	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
470	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
471	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
472	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
473	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
474	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
475	C₄²×C₁₃	—	2	1	no	—
476	C₄²×C₁₃	—	2	1	no	—
477	C₄²×C₁₃	—	2	1	no	—
478	C₄²×C₁₃	—	2	1	no	—
479	C₄²×C₁₃	—	2	1	no	—
480	C₄²×C₁₃	—	2	1	no	—
481	C₄²×C₁₃	—	2	1	no	—
482	C₄²×C₁₃	—	2	1	no	—
483	C₄²×C₁₃	—	2	2	no	—
484	C₄²×C₁₃	—	2	2	no	—
485	C₄²×C₁₃	—	2	2	no	—
486	C₄²×C₁₃	—	2	2	no	—
487	C₄²×C₁₃	—	2	2	no	—
488	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
489	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
490	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
491	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
498	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
499	#3480	C₂×C₁₃	1	1	yes	characteristic
500	#3390	C₂×C₁₃	1	2	yes	complemented
501	#3371	C₂×C₁₃	1	2	yes	complemented
502	#3351	C₂×C₁₃	1	2	yes	complemented
503	#3350	C₂×C₁₃	1	2	yes	complemented
504	#3349	C₂×C₁₃	1	2	yes	complemented
505	#3327	C₂×C₁₃	1	2	yes	complemented
506	#3317	C₂×C₁₃	1	2	yes	complemented
507	#3313	C₂×C₁₃	1	2	yes	complemented
508	#3254	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#3248	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3239	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3235	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3113	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3107	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3079	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3078	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#2989	C₂×C₁₃	1	1	yes	characteristic, complemented
521	C₂³×C₁₃	—	2	1	no	—
522	C₂³×C₁₃	—	2	1	no	—
523	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
524	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
525	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
526	Q₈×C₁₃	—	2	1	no	—
527	Q₈×C₁₃	—	2	2	no	—
528	Q₈×C₁₃	—	2	1	no	—
529	Q₈×C₁₃	—	2	2	no	—
530	Q₈×C₁₃	—	2	1	no	—
531	Q₈×C₁₃	—	4	1	no	—
532	Q₈×C₁₃	—	4	2	no	—
533	Q₈×C₁₃	—	4	2	no	—
534	Q₈×C₁₃	—	4	4	no	—
535	Q₈×C₁₃	—	4	2	no	—
536	Q₈×C₁₃	—	4	2	no	—
537	Q₈×C₁₃	—	4	2	no	—
538	Q₈×C₁₃	2₋¹⁺⁴	1	2	yes	—
539	D₄×C₁₃	—	2	1	no	—
540	D₄×C₁₃	—	2	1	no	—
541	D₄×C₁₃	—	2	1	no	—
542	D₄×C₁₃	—	2	1	no	—
543	D₄×C₁₃	—	4	1	no	—
544	D₄×C₁₃	—	4	1	no	—
545	D₄×C₁₃	—	4	1	no	—
546	D₄×C₁₃	—	4	2	no	—
547	D₄×C₁₃	—	4	2	no	—
548	D₄×C₁₃	—	4	2	no	—
549	D₄×C₁₃	—	4	2	no	—
550	D₄×C₁₃	—	4	2	no	—
551	D₄×C₁₃	—	8	1	no	—
552	D₄×C₁₃	—	8	1	no	—
553	D₄×C₁₃	—	8	1	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	2	no	—
556	C₂×C₄×C₁₃	—	2	2	no	—
557	C₂×C₄×C₁₃	—	2	2	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	1	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	2	no	—
566	C₂×C₄×C₁₃	—	2	2	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	2	no	—
572	C₂×C₄×C₁₃	—	2	2	no	—
573	C₂×C₄×C₁₃	—	4	1	no	—
574	C₂×C₄×C₁₃	—	4	1	no	—
575	C₂×C₄×C₁₃	—	4	1	no	—
576	C₂×C₄×C₁₃	—	4	2	no	—
577	C₂×C₄×C₁₃	—	4	2	no	—
578	C₂×C₄×C₁₃	—	4	2	no	—
579	C₂×C₄×C₁₃	—	4	4	no	—
580	C₂×C₄×C₁₃	—	4	2	no	—
581	C₂×C₄×C₁₃	—	4	2	no	—
582	C₂×C₄×C₁₃	—	8	1	no	—
583	C₂×C₄×C₁₃	—	8	1	no	—
584	C₂×C₄×C₁₃	—	8	1	no	—
585	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
586	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
587	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
588	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
589	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
590	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
591	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
592	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
593	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
594	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
595	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
596	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
597	C₈×C₁₃	—	2	2	no	—
598	C₈×C₁₃	—	2	2	no	—
599	C₈×C₁₃	—	2	2	no	—
600	C₈×C₁₃	—	2	2	no	—
601	#559	—	2	1	no	—
602	#559	C₂²×C₁₃	1	1	yes	characteristic
603	#557	—	2	1	no	—
604	#557	C₂²×C₁₃	1	2	yes	—
605	#557	C₂²×C₁₃	1	1	yes	characteristic
606	#556	—	2	1	no	—
607	#556	—	2	1	no	—
608	#556	C₂²×C₁₃	1	1	yes	characteristic
609	#556	C₂²×C₁₃	1	2	yes	—
610	#553	—	2	1	no	—
611	#553	—	2	1	no	—
612	#553	C₂²×C₁₃	1	1	yes	characteristic
613	#553	C₂²×C₁₃	1	1	yes	characteristic
614	#552	—	2	1	no	—
615	#552	—	2	1	no	—
616	#552	C₂²×C₁₃	1	2	yes	—
617	#552	C₂²×C₁₃	1	2	yes	—
618	#550	C₂²×C₁₃	1	1	yes	characteristic
619	#548	C₂²×C₁₃	1	1	yes	characteristic
620	#548	C₂²×C₁₃	1	1	yes	characteristic
621	#541	—	2	1	no	—
622	#541	—	2	1	no	—
623	#536	—	2	1	no	—
624	#533	C₂²×C₁₃	1	1	yes	characteristic
625	#533	C₂²×C₁₃	1	1	yes	characteristic
626	#533	C₂²×C₁₃	1	1	yes	characteristic
627	#533	C₂²×C₁₃	1	1	yes	characteristic
628	#533	C₂²×C₁₃	1	1	yes	characteristic
629	#532	—	2	1	no	—
630	#532	C₂²×C₁₃	1	1	yes	characteristic
631	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
632	#529	—	2	1	no	—
633	#529	—	2	1	no	—
634	#529	C₂²×C₁₃	1	1	yes	characteristic
635	#529	C₂²×C₁₃	1	1	yes	characteristic
636	#519	—	2	1	no	—
637	C₄×#41	—	2	1	no	—
638	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
639	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
640	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
641	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
642	#501	C₂²×C₁₃	1	2	yes	—
643	#501	C₂²×C₁₃	1	2	yes	—
644	#499	C₂²×C₁₃	1	2	yes	—
645	#490	C₂²×C₁₃	1	2	yes	—
646	#489	C₂²×C₁₃	1	2	yes	—
647	#488	C₂²×C₁₃	1	2	yes	—
648	#485	C₂²×C₁₃	1	2	yes	—
649	#485	C₂²×C₁₃	1	2	yes	—
650	#485	C₂²×C₁₃	1	2	yes	—
651	#484	C₂²×C₁₃	1	2	yes	—
652	#483	C₂²×C₁₃	1	2	yes	—
653	#482	C₂²×C₁₃	1	2	yes	—
654	#482	C₂²×C₁₃	1	2	yes	—
655	#482	C₂²×C₁₃	1	2	yes	—
656	#481	C₂²×C₁₃	1	2	yes	—
657	#479	C₂²×C₁₃	1	2	yes	—
658	#479	C₂²×C₁₃	1	2	yes	—
659	#479	C₂²×C₁₃	1	2	yes	—
660	#479	C₂²×C₁₃	1	2	yes	—
661	#479	C₂²×C₁₃	1	2	yes	—
662	#478	C₂²×C₁₃	1	2	yes	—
663	#477	C₂²×C₁₃	1	1	yes	characteristic
664	#477	C₂²×C₁₃	1	1	yes	characteristic
665	#477	C₂²×C₁₃	1	2	yes	—
666	#477	C₂²×C₁₃	1	2	yes	—
667	#476	C₂²×C₁₃	1	1	yes	characteristic
668	#476	C₂²×C₁₃	1	2	yes	—
669	#476	C₂²×C₁₃	1	1	yes	characteristic
670	#475	C₂²×C₁₃	1	1	yes	characteristic
671	#475	C₂²×C₁₃	1	1	yes	characteristic
672	#475	C₂²×C₁₃	1	1	yes	characteristic
673	#475	C₂²×C₁₃	1	1	yes	characteristic
674	#474	C₂²×C₁₃	1	1	yes	characteristic
675	#474	C₂²×C₁₃	1	1	yes	characteristic
676	#474	C₂²×C₁₃	1	1	yes	characteristic
677	#474	C₂²×C₁₃	1	1	yes	characteristic
678	#470	C₂²×C₁₃	1	2	yes	—
679	#468	C₂²×C₁₃	1	2	yes	—
680	#468	C₂²×C₁₃	1	2	yes	—
681	#468	C₂²×C₁₃	1	2	yes	—
682	#467	C₂²×C₁₃	1	2	yes	—
683	#465	C₂²×C₁₃	1	2	yes	—
684	#464	C₂²×C₁₃	1	2	yes	—
685	#464	C₂²×C₁₃	1	2	yes	—
686	#462	C₂²×C₁₃	1	1	yes	characteristic
687	#462	C₂²×C₁₃	1	1	yes	characteristic
688	#461	C₂²×C₁₃	1	1	yes	characteristic
689	#461	C₂²×C₁₃	1	1	yes	characteristic
690	#460	C₂²×C₁₃	1	2	yes	—
691	#452	C₂²×C₁₃	1	2	yes	—
692	#452	C₂²×C₁₃	1	2	yes	—
693	#451	C₂²×C₁₃	1	2	yes	—
694	#446	C₂²×C₁₃	1	2	yes	—
695	#441	C₂²×C₁₃	1	2	yes	—
696	#441	C₂²×C₁₃	1	2	yes	—
697	#441	C₂²×C₁₃	1	2	yes	—
698	#440	C₂²×C₁₃	1	2	yes	—
699	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
700	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
701	#436	C₂²×C₁₃	1	2	yes	—
702	#435	C₂²×C₁₃	1	2	yes	—
703	#435	C₂²×C₁₃	1	2	yes	—
704	#432	C₂²×C₁₃	1	1	yes	characteristic
705	#432	C₂²×C₁₃	1	1	yes	characteristic
706	#431	C₂²×C₁₃	1	1	yes	characteristic
707	#428	C₂²×C₁₃	1	2	yes	—
708	#428	C₂²×C₁₃	1	2	yes	—
709	#427	C₂²×C₁₃	1	2	yes	—
710	#423	C₂²×C₁₃	1	1	yes	characteristic
711	#423	C₂²×C₁₃	1	1	yes	characteristic
712	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
713	#419	C₂²×C₁₃	1	2	yes	—
714	#417	C₂²×C₁₃	1	2	yes	—
715	#416	C₂²×C₁₃	1	2	yes	—
716	C₂²×C₁₃	—	2	1	no	—
717	C₂²×C₁₃	—	2	1	no	—
718	C₂²×C₁₃	—	2	1	no	—
719	C₂²×C₁₃	—	2	1	no	—
720	C₂²×C₁₃	—	2	1	no	—
721	C₂²×C₁₃	—	2	1	no	—
722	C₂²×C₁₃	—	2	1	no	—
723	C₂²×C₁₃	—	2	1	no	—
724	C₂²×C₁₃	—	2	1	no	—
725	C₂²×C₁₃	—	4	1	no	—
726	C₂²×C₁₃	—	4	1	no	—
727	C₂²×C₁₃	—	4	1	no	—
728	C₂²×C₁₃	—	4	1	no	—
729	C₂²×C₁₃	—	4	1	no	—
730	C₂²×C₁₃	—	4	1	no	—
731	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
732	C₄×C₁₃	—	2	1	no	—
733	C₄×C₁₃	—	2	1	no	—
734	C₄×C₁₃	—	2	1	no	—
735	C₄×C₁₃	—	2	1	no	—
736	C₄×C₁₃	—	2	1	no	—
737	C₄×C₁₃	—	2	1	no	—
738	C₄×C₁₃	—	2	1	no	—
739	C₄×C₁₃	—	2	2	no	—
740	C₄×C₁₃	—	2	1	no	—
741	C₄×C₁₃	—	2	1	no	—
742	C₄×C₁₃	—	2	1	no	—
743	C₄×C₁₃	—	4	1	no	—
744	C₄×C₁₃	—	4	1	no	—
745	C₄×C₁₃	—	4	2	no	—
746	C₄×C₁₃	—	4	1	no	—
747	C₄×C₁₃	—	4	2	no	—
748	C₄×C₁₃	—	4	1	no	—
749	C₄×C₁₃	—	4	1	no	—
750	C₄×C₁₃	—	4	2	no	—
751	C₄×C₁₃	—	4	2	no	—
752	C₄×C₁₃	#575	1	2	yes	—
753	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
754	C₄×C₁₃	#585	1	1	yes	characteristic
755	C₂×#41	—	2	1	no	—
756	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
757	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
758	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
759	C₂²×Q₈	—	2	1	no	—
760	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
761	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
762	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
763	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
764	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
765	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
766	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
767	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
768	C₄⋊Q₈	—	2	1	no	—
769	C₄⋊Q₈	—	2	2	no	—
770	C₄⋊Q₈	—	2	1	no	—
771	C₄⋊Q₈	—	2	1	no	—
772	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
773	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
775	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
776	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
777	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
778	#127	—	2	1	no	—
779	#127	C₂³×C₁₃	1	1	yes	characteristic
780	#126	—	2	1	no	—
781	#126	—	2	1	no	—
782	#126	—	2	1	no	—
783	#126	—	2	1	no	—
784	#126	—	2	2	no	—
785	#126	—	2	2	no	—
786	#126	—	2	2	no	—
787	#126	—	2	2	no	—
788	#126	—	2	1	no	—
789	#126	—	2	1	no	—
790	#125	—	2	1	no	—
791	#125	—	2	1	no	—
792	#125	—	2	2	no	—
793	#125	—	2	2	no	—
794	#125	—	2	2	no	—
795	#125	—	2	2	no	—
796	#125	—	2	1	no	—
797	#125	—	2	1	no	—
798	#125	—	2	1	no	—
799	#125	C₂³×C₁₃	1	1	yes	characteristic
800	#125	C₂³×C₁₃	1	1	yes	characteristic
801	#125	C₂³×C₁₃	1	2	yes	—
802	#125	C₂³×C₁₃	1	2	yes	—
803	#124	—	2	1	no	—
804	#124	—	2	1	no	—
805	#124	—	2	2	no	—
806	#124	—	2	1	no	—
807	#124	—	2	1	no	—
808	#124	—	2	1	no	—
809	#124	C₂³×C₁₃	1	1	yes	characteristic
810	#124	C₂³×C₁₃	1	1	yes	characteristic
811	#123	—	2	2	no	—
812	#123	—	2	2	no	—
813	#123	—	2	1	no	—
814	#123	—	2	1	no	—
815	#123	—	2	1	no	—
816	#123	—	2	1	no	—
817	#123	—	2	1	no	—
818	#123	—	2	1	no	—
819	C₂²⋊Q₈	—	2	1	no	—
820	C₂²⋊Q₈	—	2	1	no	—
821	C₂²⋊Q₈	—	2	1	no	—
822	C₂²⋊Q₈	—	2	1	no	—
823	C₂²⋊Q₈	—	2	1	no	—
824	C₂²⋊Q₈	—	2	1	no	—
825	C₂²⋊Q₈	—	2	1	no	—
826	C₂²⋊Q₈	—	2	1	no	—
827	C₂²⋊Q₈	—	2	1	no	—
828	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
829	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
830	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
831	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
832	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
833	#121	—	2	1	no	—
834	#121	—	2	1	no	—
835	#121	—	2	1	no	—
836	#121	—	2	1	no	—
837	#121	—	2	1	no	—
838	#121	—	2	1	no	—
839	#121	—	2	1	no	—
840	#121	C₂³×C₁₃	1	1	yes	characteristic
841	#121	C₂³×C₁₃	1	1	yes	characteristic
842	#121	C₂³×C₁₃	1	1	yes	characteristic
843	#121	C₂³×C₁₃	1	1	yes	characteristic
844	C₄×Q₈	—	2	1	no	—
845	C₄×Q₈	—	2	1	no	—
846	C₄×Q₈	—	2	2	no	—
847	C₄×Q₈	—	2	2	no	—
848	C₄×Q₈	—	2	1	no	—
849	C₄×Q₈	—	2	1	no	—
850	C₄×Q₈	—	2	1	no	—
851	C₄×Q₈	—	2	1	no	—
852	C₄×Q₈	—	2	1	no	—
853	C₄×Q₈	—	2	1	no	—
854	C₄×Q₈	—	2	1	no	—
855	C₄×Q₈	—	2	1	no	—
856	C₄×Q₈	—	2	1	no	—
857	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
858	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
859	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
860	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
862	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
864	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
865	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
866	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
867	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
868	C₄×D₄	—	2	1	no	—
869	C₄×D₄	—	2	1	no	—
870	C₄×D₄	—	2	1	no	—
871	C₄×D₄	—	2	1	no	—
872	C₄×D₄	—	2	1	no	—
873	C₄×D₄	—	2	1	no	—
874	C₄×D₄	—	2	1	no	—
875	C₄×D₄	—	2	1	no	—
876	C₄×D₄	—	2	1	no	—
877	C₄×D₄	—	2	1	no	—
878	C₄×D₄	—	2	1	no	—
879	C₄×D₄	—	2	1	no	—
880	C₄×D₄	—	2	1	no	—
881	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
882	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
883	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
884	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
885	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
886	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
887	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
888	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
889	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
890	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
891	#117	—	2	1	no	—
892	#117	—	2	1	no	—
893	#117	—	2	1	no	—
894	#117	—	2	2	no	—
895	#117	—	2	2	no	—
896	#117	—	2	1	no	—
897	#117	—	2	1	no	—
898	#117	—	2	1	no	—
899	#117	—	2	1	no	—
900	#117	D₄×C₁₃	1	1	yes	characteristic
901	#117	D₄×C₁₃	1	1	yes	characteristic
902	#117	D₄×C₁₃	1	1	yes	characteristic
903	#117	C₂³×C₁₃	1	1	yes	characteristic
904	#117	C₂³×C₁₃	1	1	yes	characteristic
905	#117	C₂³×C₁₃	1	2	yes	—
906	#117	C₂³×C₁₃	1	2	yes	—
907	C₂×C₄⋊C₄	—	2	1	no	—
908	C₂×C₄⋊C₄	—	2	1	no	—
909	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
911	C₂×C₄²	—	2	1	no	—
912	C₂×C₄²	—	2	1	no	—
913	C₂×C₄²	—	2	1	no	—
914	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
915	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
916	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
917	#107	C₂³×C₁₃	1	2	yes	—
918	#107	C₂³×C₁₃	1	2	yes	—
919	#107	C₂³×C₁₃	1	2	yes	—
920	#107	C₂³×C₁₃	1	2	yes	—
921	#107	C₂³×C₁₃	1	2	yes	—
922	#107	C₂³×C₁₃	1	2	yes	—
923	#106	C₂³×C₁₃	1	2	yes	—
924	#106	C₂³×C₁₃	1	2	yes	—
925	#106	C₂³×C₁₃	1	2	yes	—
926	#106	C₂³×C₁₃	1	2	yes	—
927	#106	C₂³×C₁₃	1	2	yes	—
928	#106	C₂³×C₁₃	1	2	yes	—
929	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
930	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
931	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
932	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
933	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
934	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
935	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
936	#103	C₂³×C₁₃	1	2	yes	—
937	#103	C₂³×C₁₃	1	2	yes	—
938	#103	C₂³×C₁₃	1	2	yes	—
939	#103	C₂³×C₁₃	1	2	yes	—
940	#103	C₂³×C₁₃	1	2	yes	—
941	#103	C₂³×C₁₃	1	2	yes	—
942	#103	C₂³×C₁₃	1	2	yes	—
943	#103	C₂³×C₁₃	1	2	yes	—
944	#103	C₂³×C₁₃	1	2	yes	—
945	#103	C₂³×C₁₃	1	2	yes	—
946	#102	C₂³×C₁₃	1	2	yes	—
947	#102	C₂³×C₁₃	1	2	yes	—
948	#102	C₂³×C₁₃	1	2	yes	—
949	#102	C₂³×C₁₃	1	2	yes	—
950	#102	C₂³×C₁₃	1	2	yes	—
951	#102	C₂³×C₁₃	1	2	yes	—
952	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
953	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
954	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
955	#97	C₂³×C₁₃	1	2	yes	—
956	#97	C₂³×C₁₃	1	2	yes	—
957	C₄×C₈	C₂³×C₁₃	1	2	yes	—
958	C₂×C₁₃	—	4	1	no	—
959	C₂×C₁₃	—	4	1	no	—
960	C₂×C₁₃	—	4	1	no	—
961	C₂×C₁₃	—	8	1	no	—
962	C₂×C₁₃	—	8	1	no	—
963	C₂×C₁₃	#3489	1	1	yes	characteristic
964	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
965	C₂×C₁₃	#3586	1	1	yes	characteristic
966	#41	—	2	2	no	—
967	#41	—	2	2	no	—
968	#41	—	4	2	no	—
969	#41	—	4	1	no	—
970	#41	—	4	1	no	—
971	#41	—	4	4	no	—
972	C₂×Q₈	—	2	1	no	—
973	C₂×Q₈	—	2	1	no	—
974	C₂×Q₈	—	2	1	no	—
975	C₂×Q₈	—	2	1	no	—
976	C₂×Q₈	—	2	1	no	—
977	C₂×Q₈	—	2	2	no	—
978	C₂×Q₈	—	2	2	no	—
979	C₂×Q₈	—	4	1	no	—
980	C₂×Q₈	—	4	4	no	—
981	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
982	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
983	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
984	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
985	C₂×D₄	—	2	1	no	—
986	C₂×D₄	—	2	1	no	—
987	C₂×D₄	—	2	1	no	—
988	C₂×D₄	—	2	1	no	—
989	C₂×D₄	—	2	1	no	—
990	C₂×D₄	—	2	1	no	—
991	C₂×D₄	—	2	1	no	—
992	C₂×D₄	—	2	1	no	—
993	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
994	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
995	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
996	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
997	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₂²×C₄	—	2	1	no	—
999	C₂²×C₄	—	2	2	no	—
1000	C₂²×C₄	—	2	1	no	—
1001	C₂²×C₄	—	2	1	no	—
1002	C₂²×C₄	—	2	1	no	—
1003	C₂²×C₄	—	2	1	no	—
1004	C₂²×C₄	—	2	1	no	—
1005	C₂²×C₄	—	2	1	no	—
1006	C₂²×C₄	—	2	1	no	—
1007	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1008	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1009	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1010	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1011	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1012	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1013	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1014	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1015	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1016	Q₁₆	—	2	4	no	—
1017	Q₁₆	—	4	2	no	—
1018	SD₁₆	—	4	2	no	—
1019	SD₁₆	—	4	2	no	—
1020	M₁₆	—	4	2	no	—
1021	M₁₆	—	4	2	no	—
1022	C₂×C₈	—	4	2	no	—
1023	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1024	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1025	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1026	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1027	C₄⋊C₄	—	2	1	no	—
1028	C₄⋊C₄	—	2	1	no	—
1029	C₄⋊C₄	—	2	1	no	—
1030	C₄⋊C₄	—	2	1	no	—
1031	C₄⋊C₄	—	2	1	no	—
1032	C₄⋊C₄	—	2	1	no	—
1033	C₄⋊C₄	—	2	2	no	—
1034	C₄⋊C₄	—	2	1	no	—
1035	C₄⋊C₄	—	2	2	no	—
1036	C₄⋊C₄	—	2	1	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	1	no	—
1043	C₄⋊C₄	—	2	1	no	—
1044	C₄⋊C₄	—	2	1	no	—
1045	C₄⋊C₄	—	2	2	no	—
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	2	2	no	—
1049	C₄⋊C₄	—	2	1	no	—
1050	C₄⋊C₄	—	2	1	no	—
1051	C₄⋊C₄	—	2	1	no	—
1052	C₄⋊C₄	—	2	2	no	—
1053	C₄⋊C₄	—	2	2	no	—
1054	C₄⋊C₄	—	2	2	no	—
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	2	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1059	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1060	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1061	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1062	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1063	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1064	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1065	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1066	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1067	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1068	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1069	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1070	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1071	C₂²⋊C₄	—	2	2	no	—
1072	C₂²⋊C₄	—	2	2	no	—
1073	C₂²⋊C₄	—	2	2	no	—
1074	C₂²⋊C₄	—	2	1	no	—
1075	C₂²⋊C₄	—	2	1	no	—
1076	C₂²⋊C₄	—	2	2	no	—
1077	C₂²⋊C₄	—	2	2	no	—
1078	C₂²⋊C₄	—	2	1	no	—
1079	C₂²⋊C₄	—	2	1	no	—
1080	C₂²⋊C₄	—	2	1	no	—
1081	C₂²⋊C₄	—	2	1	no	—
1082	C₂²⋊C₄	—	2	1	no	—
1083	C₂²⋊C₄	—	2	1	no	—
1084	C₂²⋊C₄	—	2	1	no	—
1085	C₂²⋊C₄	—	2	1	no	—
1086	C₂²⋊C₄	—	2	1	no	—
1087	C₂²⋊C₄	—	2	1	no	—
1088	C₂²⋊C₄	—	2	1	no	—
1089	C₂²⋊C₄	—	2	1	no	—
1090	C₂²⋊C₄	—	2	1	no	—
1091	C₂²⋊C₄	—	2	1	no	—
1092	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1093	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1094	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1095	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1096	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1097	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1098	C₄²	—	2	1	no	—
1099	C₄²	—	2	1	no	—
1100	C₄²	—	2	1	no	—
1101	C₄²	—	2	1	no	—
1102	C₄²	—	2	1	no	—
1103	C₄²	—	2	1	no	—
1104	C₄²	—	2	1	no	—
1105	C₄²	—	2	1	no	—
1106	C₄²	—	2	2	no	—
1107	C₄²	—	2	2	no	—
1108	C₄²	—	2	2	no	—
1109	C₄²	—	2	2	no	—
1110	C₄²	—	2	2	no	—
1111	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1112	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1113	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1114	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1115	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1116	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1117	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1118	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1119	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1120	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1121	C₁₃	#62118	1	1	yes	characteristic, direct product factor, Sylow
1122	C₂³	—	2	1	no	—
1123	C₂³	—	2	1	no	—
1124	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1125	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1126	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1127	Q₈	—	2	1	no	—
1128	Q₈	—	2	2	no	—
1129	Q₈	—	2	1	no	—
1130	Q₈	—	2	2	no	—
1131	Q₈	—	2	1	no	—
1132	Q₈	—	4	1	no	—
1133	Q₈	—	4	2	no	—
1134	Q₈	—	4	4	no	—
1135	Q₈	—	4	2	no	—
1136	Q₈	—	4	2	no	—
1137	Q₈	—	4	2	no	—
1138	Q₈	—	4	2	no	—
1139	Q₈	C₁₃×2₋¹⁺⁴	1	2	yes	—
1140	D₄	—	2	1	no	—
1141	D₄	—	2	1	no	—
1142	D₄	—	2	1	no	—
1143	D₄	—	2	1	no	—
1144	D₄	—	4	1	no	—
1145	D₄	—	4	1	no	—
1146	D₄	—	4	1	no	—
1147	D₄	—	4	2	no	—
1148	D₄	—	4	2	no	—
1149	D₄	—	4	2	no	—
1150	D₄	—	4	2	no	—
1151	D₄	—	4	2	no	—
1152	D₄	—	8	1	no	—
1153	D₄	—	8	1	no	—
1154	D₄	—	8	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	2	no	—
1157	C₂×C₄	—	2	2	no	—
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	4	1	no	—
1177	C₂×C₄	—	4	2	no	—
1178	C₂×C₄	—	4	2	no	—
1179	C₂×C₄	—	4	2	no	—
1180	C₂×C₄	—	4	4	no	—
1181	C₂×C₄	—	4	2	no	—
1182	C₂×C₄	—	4	2	no	—
1183	C₂×C₄	—	8	1	no	—
1184	C₂×C₄	—	8	1	no	—
1185	C₂×C₄	—	8	1	no	—
1186	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1187	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1188	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1189	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1190	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1191	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1192	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1193	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1194	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1195	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1196	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1197	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1198	C₈	—	2	2	no	—
1199	C₈	—	2	2	no	—
1200	C₈	—	2	2	no	—
1201	C₈	—	2	2	no	—
1202	C₂²	—	2	1	no	—
1203	C₂²	—	2	1	no	—
1204	C₂²	—	2	1	no	—
1205	C₂²	—	2	1	no	—
1206	C₂²	—	2	1	no	—
1207	C₂²	—	2	1	no	—
1208	C₂²	—	2	1	no	—
1209	C₂²	—	2	1	no	—
1210	C₂²	—	2	1	no	—
1211	C₂²	—	4	1	no	—
1212	C₂²	—	4	1	no	—
1213	C₂²	—	4	1	no	—
1214	C₂²	—	4	1	no	—
1215	C₂²	—	4	1	no	—
1216	C₂²	—	4	1	no	—
1217	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1218	C₄	—	2	1	no	—
1219	C₄	—	2	1	no	—
1220	C₄	—	2	1	no	—
1221	C₄	—	2	1	no	—
1222	C₄	—	2	1	no	—
1223	C₄	—	2	1	no	—
1224	C₄	—	2	1	no	—
1225	C₄	—	2	1	no	—
1226	C₄	—	2	1	no	—
1227	C₄	—	2	1	no	—
1228	C₄	—	2	2	no	—
1229	C₄	—	4	1	no	—
1230	C₄	—	4	1	no	—
1231	C₄	—	4	2	no	—
1232	C₄	—	4	2	no	—
1233	C₄	—	4	1	no	—
1234	C₄	—	4	1	no	—
1235	C₄	—	4	2	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	2	no	—
1238	C₄	C₁₃×#575	1	2	yes	—
1239	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1240	C₄	C₁₃×#585	1	1	yes	characteristic
1241	C₂	—	4	1	no	—
1242	C₂	—	4	1	no	—
1243	C₂	—	4	1	no	—
1244	C₂	—	8	1	no	—
1245	C₂	—	8	1	no	—
1246	C₂	C₁₃×#3489	1	1	yes	characteristic
1247	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1248	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3480	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3509	C₂	semidirect
3. C₁₃×#3390	C₂	semidirect
4. C₁₃×#3371	C₂	semidirect
5. C₁₃×#3351	C₂	semidirect
6. C₁₃×#3350	C₂	semidirect
7. C₁₃×#3349	C₂	semidirect
8. C₁₃×#3327	C₂	semidirect
9. C₁₃×#3317	C₂	semidirect
10. C₁₃×#3313	C₂	semidirect
11. C₁₃×#3254	C₂	semidirect
12. C₁₃×#3252	C₂	semidirect
13. C₁₃×#3248	C₂	semidirect
14. C₁₃×#3239	C₂	semidirect
15. C₁₃×#3235	C₂	semidirect
16. C₁₃×#3233	C₂	semidirect
17. C₁₃×#3116	C₂	semidirect
18. C₁₃×#3113	C₂	semidirect
19. C₁₃×#3107	C₂	semidirect
20. C₁₃×#3079	C₂	semidirect
21. C₁₃×#3078	C₂	semidirect
22. C₁₃×#3076	C₂	semidirect
23. C₁₃×#2989	C₂	semidirect
342. #62118	C₁₃	direct (N × H)
498. #3509	C₂×C₁₃	semidirect
500. #3390	C₂×C₁₃	semidirect
501. #3371	C₂×C₁₃	semidirect
502. #3351	C₂×C₁₃	semidirect
503. #3350	C₂×C₁₃	semidirect
504. #3349	C₂×C₁₃	semidirect
505. #3327	C₂×C₁₃	semidirect
506. #3317	C₂×C₁₃	semidirect
507. #3313	C₂×C₁₃	semidirect
508. #3254	C₂×C₁₃	semidirect
509. #3252	C₂×C₁₃	semidirect
510. #3248	C₂×C₁₃	semidirect
511. #3239	C₂×C₁₃	semidirect
512. #3235	C₂×C₁₃	semidirect
513. #3233	C₂×C₁₃	semidirect
514. #3116	C₂×C₁₃	semidirect
515. #3113	C₂×C₁₃	semidirect
516. #3107	C₂×C₁₃	semidirect
517. #3079	C₂×C₁₃	semidirect
518. #3078	C₂×C₁₃	semidirect
519. #3076	C₂×C₁₃	semidirect
520. #2989	C₂×C₁₃	semidirect
1121. C₁₃	#62118	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×#3509	2
C₁₃×#3480	2
C₁₃×#3390	2
C₁₃×#3371	2
C₁₃×#3351	2
C₁₃×#3350	2
C₁₃×#3349	2
C₁₃×#3327	2
C₁₃×#3317	2
C₁₃×#3313	2
C₁₃×#3254	2
C₁₃×#3252	2
C₁₃×#3248	2
C₁₃×#3239	2
C₁₃×#3235	2
C₁₃×#3233	2
C₁₃×#3116	2
C₁₃×#3113	2
C₁₃×#3107	2
C₁₃×#3079	2
C₁₃×#3078	2
C₁₃×#3076	2
C₁₃×#2989	2
#62118	13

Subgroups — C13×#62118 #15748457

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62118 #15748457