Subgroups — C₁₃×#62115 #15748454

Order 3328.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1280 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3389	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3351	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3348	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3347	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3322	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3319	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3307	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3254	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3251	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3237	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3079	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3077	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×#556	—	2	1	no	—
25	C₁₃×#556	C₂²	1	1	yes	characteristic
26	C₁₃×#555	C₂²	1	2	yes	—
27	C₁₃×#555	C₂²	1	1	yes	characteristic
28	C₁₃×#554	C₂²	1	1	yes	characteristic
29	C₁₃×#554	C₂²	1	2	yes	complemented
30	C₁₃×#553	—	2	1	no	—
31	C₁₃×#553	C₂²	1	2	yes	—
32	C₁₃×#553	C₂²	1	2	yes	complemented
33	C₁₃×#552	—	2	1	no	—
34	C₁₃×#552	C₂²	1	1	yes	characteristic
35	C₁₃×#552	C₂²	1	1	yes	characteristic
36	C₁₃×#551	—	2	1	no	—
37	C₁₃×#551	—	2	1	no	—
38	C₁₃×#548	—	2	1	no	—
39	C₁₃×#548	—	2	1	no	—
40	C₁₃×#547	—	2	1	no	—
41	C₁₃×#547	C₂²	1	1	yes	characteristic
42	C₁₃×#546	C₂²	1	1	yes	characteristic
43	C₁₃×#546	C₂²	1	1	yes	characteristic
44	C₁₃×#542	—	2	1	no	—
45	C₁₃×#542	—	2	1	no	—
46	C₁₃×#537	—	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, complemented
50	C₁₃×#532	C₂²	1	1	yes	characteristic
51	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#529	—	2	1	no	—
55	C₁₃×#529	—	2	1	no	—
56	C₁₃×#529	C₂²	1	1	yes	characteristic
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#525	—	2	1	no	—
59	C₁₃×#520	—	2	1	no	—
60	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
61	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
62	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
64	C₂×C₁₃×#117	—	2	1	no	—
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#501	C₂²	1	2	yes	complemented
67	C₁₃×#499	C₂²	1	2	yes	complemented
68	C₁₃×#491	C₂²	1	2	yes	complemented
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	complemented
74	C₁₃×#483	C₂²	1	2	yes	complemented
75	C₁₃×#482	C₂²	1	2	yes	—
76	C₁₃×#482	C₂²	1	2	yes	complemented
77	C₁₃×#482	C₂²	1	2	yes	complemented
78	C₁₃×#481	C₂²	1	2	yes	—
79	C₁₃×#480	C₂²	1	2	yes	—
80	C₁₃×#479	C₂²	1	2	yes	complemented
81	C₁₃×#478	C₂²	1	2	yes	—
82	C₁₃×#478	C₂²	1	2	yes	—
83	C₁₃×#478	C₂²	1	2	yes	—
84	C₁₃×#478	C₂²	1	2	yes	complemented
85	C₁₃×#478	C₂²	1	2	yes	complemented
86	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#476	C₂²	1	1	yes	characteristic
91	C₁₃×#476	C₂²	1	1	yes	characteristic
92	C₁₃×#476	C₂²	1	1	yes	characteristic
93	C₁₃×#476	C₂²	1	1	yes	characteristic
94	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#475	C₂²	1	2	yes	complemented
96	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#474	C₂²	1	2	yes	—
98	C₁₃×#474	C₂²	1	1	yes	characteristic
99	C₁₃×#474	C₂²	1	1	yes	characteristic
100	C₁₃×#474	C₂²	1	2	yes	complemented
101	C₁₃×#469	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	complemented
105	C₁₃×#466	C₂²	1	2	yes	—
106	C₁₃×#465	C₂²	1	2	yes	complemented
107	C₁₃×#463	C₂²	1	2	yes	—
108	C₁₃×#463	C₂²	1	2	yes	—
109	C₁₃×#461	C₂²	1	2	yes	complemented
110	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#459	C₂²	1	1	yes	characteristic
113	C₁₃×#459	C₂²	1	1	yes	characteristic
114	C₁₃×#449	C₂²	1	2	yes	—
115	C₁₃×#449	C₂²	1	2	yes	—
116	C₁₃×#447	C₂²	1	2	yes	—
117	C₁₃×#446	C₂²	1	2	yes	complemented
118	C₁₃×#442	C₂²	1	2	yes	—
119	C₁₃×#442	C₂²	1	2	yes	—
120	C₁₃×#442	C₂²	1	2	yes	—
121	C₁₃×#440	C₂²	1	2	yes	complemented
122	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
123	C₄×C₁₃×D₈	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	complemented
127	C₁₃×#432	C₂²	1	1	yes	characteristic
128	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#428	C₂²	1	2	yes	—
131	C₁₃×#428	C₂²	1	2	yes	complemented
132	C₁₃×#427	C₂²	1	2	yes	complemented
133	C₁₃×#423	C₂²	1	1	yes	characteristic
134	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#418	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	—	2	1	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
143	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
145	C₂²×Q₈×C₁₃	—	2	1	no	—
146	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃	—	2	1	no	—
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×D₈	C₂³	1	2	yes	—
151	C₂×C₁₃×D₈	C₂³	1	2	yes	—
152	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
154	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
155	C₁₃×C₄⋊Q₈	—	2	1	no	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
158	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×#127	C₂³	1	1	yes	characteristic
164	C₁₃×#126	—	2	1	no	—
165	C₁₃×#126	—	2	1	no	—
166	C₁₃×#126	—	2	2	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	1	no	—
169	C₁₃×#126	—	2	1	no	—
170	C₁₃×#126	—	2	1	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#125	—	2	1	no	—
173	C₁₃×#125	—	2	1	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	C₂³	1	2	yes	—
176	C₁₃×#125	C₂³	1	2	yes	—
177	C₁₃×#125	C₂³	1	1	yes	characteristic
178	C₁₃×#125	C₂³	1	1	yes	characteristic
179	C₁₃×#124	—	2	1	no	—
180	C₁₃×#124	—	2	1	no	—
181	C₁₃×#124	—	2	2	no	—
182	C₁₃×#124	—	2	2	no	—
183	C₁₃×#124	—	2	1	no	—
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	C₂³	1	1	yes	characteristic
187	C₁₃×#124	C₂³	1	1	yes	characteristic
188	C₁₃×#123	—	2	1	no	—
189	C₁₃×#123	—	2	1	no	—
190	C₁₃×#123	—	2	1	no	—
191	C₁₃×#123	—	2	1	no	—
192	C₁₃×#123	—	2	1	no	—
193	C₁₃×#123	—	2	1	no	—
194	C₁₃×#123	—	2	1	no	—
195	C₁₃×#123	—	2	1	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	1	no	—
199	C₁₃×C₂²⋊Q₈	—	2	1	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	1	no	—
202	C₁₃×C₂²⋊Q₈	—	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	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
211	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
212	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
213	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
214	C₁₃×#121	—	2	1	no	—
215	C₁₃×#121	—	2	1	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	2	no	—
218	C₁₃×#121	—	2	2	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	2	yes	—
225	C₁₃×#121	C₂³	1	2	yes	—
226	C₁₃×#121	C₂³	1	2	yes	—
227	C₁₃×#121	C₂³	1	1	yes	characteristic
228	C₁₃×#121	C₂³	1	1	yes	characteristic
229	C₁₃×#120	—	2	1	no	—
230	C₁₃×#120	—	2	1	no	—
231	C₄×Q₈×C₁₃	—	2	1	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	D₄	1	1	yes	characteristic
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	—	2	1	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	2	no	—
249	C₄×D₄×C₁₃	—	2	2	no	—
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	1	no	—
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	D₄	1	1	yes	characteristic
256	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
257	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₃	C₂³	1	2	yes	—
260	C₄×D₄×C₁₃	C₂³	1	2	yes	—
261	C₄×D₄×C₁₃	C₂³	1	2	yes	—
262	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
264	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
265	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
266	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
267	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
268	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
269	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#117	—	2	1	no	—
271	C₁₃×#117	—	2	1	no	—
272	C₁₃×#117	—	2	1	no	—
273	C₁₃×#117	—	2	2	no	—
274	C₁₃×#117	—	2	1	no	—
275	C₁₃×#117	—	2	1	no	—
276	C₁₃×#117	—	2	1	no	—
277	C₁₃×#117	—	2	1	no	—
278	C₁₃×#117	—	2	1	no	—
279	C₁₃×#117	—	2	1	no	—
280	C₁₃×#117	D₄	1	1	yes	characteristic
281	C₁₃×#117	D₄	1	1	yes	characteristic
282	C₁₃×#117	D₄	1	1	yes	characteristic
283	C₁₃×#117	C₂³	1	2	yes	—
284	C₁₃×#117	C₂³	1	2	yes	—
285	C₁₃×#117	C₂³	1	1	yes	characteristic
286	C₁₃×#117	C₂³	1	1	yes	characteristic
287	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
288	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
289	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
290	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
291	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
292	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
294	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
295	C₂×C₁₃×C₂²⋊C₄	—	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×#102	C₂³	1	2	yes	—
327	C₁₃×#102	C₂³	1	2	yes	—
328	C₁₃×#102	C₂³	1	2	yes	—
329	C₁₃×#102	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	#62115	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₁₃×#41	—	2	2	no	—
345	C₁₃×#41	—	2	2	no	—
346	C₁₃×#41	—	4	2	no	—
347	C₁₃×#41	—	4	1	no	—
348	C₁₃×#41	—	4	1	no	—
349	C₁₃×#41	—	4	4	no	—
350	C₁₃×#41	—	8	2	no	—
351	C₁₃×#41	—	8	2	no	—
352	C₂×Q₈×C₁₃	—	2	1	no	—
353	C₂×Q₈×C₁₃	—	2	1	no	—
354	C₂×Q₈×C₁₃	—	2	1	no	—
355	C₂×Q₈×C₁₃	—	2	1	no	—
356	C₂×Q₈×C₁₃	—	2	2	no	—
357	C₂×Q₈×C₁₃	—	8	2	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	1	yes	characteristic
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	2	no	—
365	C₂×D₄×C₁₃	—	2	1	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	—	2	2	no	—
368	C₂×D₄×C₁₃	—	2	2	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	1	no	—
371	C₂×D₄×C₁₃	—	2	1	no	—
372	C₂×D₄×C₁₃	—	4	1	no	—
373	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
374	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
375	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
376	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
378	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	—	2	1	no	—
380	C₂²×C₄×C₁₃	—	2	2	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	—	2	1	no	—
385	C₂²×C₄×C₁₃	—	2	2	no	—
386	C₂²×C₄×C₁₃	—	2	1	no	—
387	C₂²×C₄×C₁₃	—	2	1	no	—
388	C₂²×C₄×C₁₃	—	2	1	no	—
389	C₂²×C₄×C₁₃	—	2	1	no	—
390	C₂²×C₄×C₁₃	—	2	2	no	—
391	C₂²×C₄×C₁₃	—	2	2	no	—
392	C₂²×C₄×C₁₃	—	4	4	no	—
393	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₁₃×SD₁₆	—	4	2	no	—
403	C₁₃×SD₁₆	—	4	2	no	—
404	C₁₃×D₈	—	2	4	no	—
405	C₁₃×D₈	—	4	2	no	—
406	C₁₃×M₁₆	—	4	2	no	—
407	C₁₃×M₁₆	—	4	2	no	—
408	C₂×C₈×C₁₃	—	4	2	no	—
409	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
410	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
411	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
412	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
413	C₁₃×C₄⋊C₄	—	2	2	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	1	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	1	no	—
430	C₁₃×C₄⋊C₄	—	2	1	no	—
431	C₁₃×C₄⋊C₄	—	2	1	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	2	no	—
434	C₁₃×C₄⋊C₄	—	2	2	no	—
435	C₁₃×C₄⋊C₄	—	2	1	no	—
436	C₁₃×C₄⋊C₄	—	2	1	no	—
437	C₁₃×C₄⋊C₄	—	2	1	no	—
438	C₁₃×C₄⋊C₄	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	C₂×D₄	1	1	yes	characteristic
442	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
443	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
444	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
445	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
446	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
447	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
448	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
449	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
451	C₁₃×C₂²⋊C₄	—	2	1	no	—
452	C₁₃×C₂²⋊C₄	—	2	1	no	—
453	C₁₃×C₂²⋊C₄	—	2	1	no	—
454	C₁₃×C₂²⋊C₄	—	2	1	no	—
455	C₁₃×C₂²⋊C₄	—	2	2	no	—
456	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
468	C₁₃×C₂²⋊C₄	—	2	2	no	—
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	—	2	1	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	1	no	—
473	C₁₃×C₂²⋊C₄	—	2	2	no	—
474	C₁₃×C₂²⋊C₄	—	2	2	no	—
475	C₁₃×C₂²⋊C₄	—	2	2	no	—
476	C₁₃×C₂²⋊C₄	—	2	2	no	—
477	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
478	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
479	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
480	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
481	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
482	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
483	C₄²×C₁₃	—	2	1	no	—
484	C₄²×C₁₃	—	2	1	no	—
485	C₄²×C₁₃	—	2	1	no	—
486	C₄²×C₁₃	—	2	1	no	—
487	C₄²×C₁₃	—	2	1	no	—
488	C₄²×C₁₃	—	2	1	no	—
489	C₄²×C₁₃	—	2	2	no	—
490	C₄²×C₁₃	—	2	2	no	—
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	C₂×D₄	1	1	yes	characteristic
495	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
497	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
501	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
502	#3475	C₂×C₁₃	1	1	yes	characteristic, complemented
503	#3389	C₂×C₁₃	1	2	yes	complemented
504	#3376	C₂×C₁₃	1	2	yes	complemented
505	#3351	C₂×C₁₃	1	2	yes	complemented
506	#3348	C₂×C₁₃	1	2	yes	complemented
507	#3347	C₂×C₁₃	1	2	yes	complemented
508	#3322	C₂×C₁₃	1	2	yes	complemented
509	#3319	C₂×C₁₃	1	2	yes	complemented
510	#3307	C₂×C₁₃	1	2	yes	complemented
511	#3254	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3251	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3238	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3237	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3079	C₂×C₁₃	1	1	yes	characteristic, complemented
521	#3077	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
523	#2989	C₂×C₁₃	1	1	yes	characteristic, complemented
524	C₂³×C₁₃	—	2	1	no	—
525	C₂³×C₁₃	—	2	1	no	—
526	C₂³×C₁₃	—	2	2	no	—
527	C₂³×C₁₃	—	4	2	no	—
528	C₂³×C₁₃	—	4	2	no	—
529	C₂³×C₁₃	—	8	1	no	—
530	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
531	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
532	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
533	Q₈×C₁₃	—	2	1	no	—
534	Q₈×C₁₃	—	2	1	no	—
535	Q₈×C₁₃	—	2	1	no	—
536	Q₈×C₁₃	—	2	1	no	—
537	Q₈×C₁₃	—	4	1	no	—
538	Q₈×C₁₃	—	4	2	no	—
539	Q₈×C₁₃	—	4	2	no	—
540	Q₈×C₁₃	—	4	2	no	—
541	Q₈×C₁₃	—	8	1	no	—
542	Q₈×C₁₃	—	8	2	no	—
543	D₄×C₁₃	—	2	2	no	—
544	D₄×C₁₃	—	2	1	no	—
545	D₄×C₁₃	—	2	1	no	—
546	D₄×C₁₃	—	2	1	no	—
547	D₄×C₁₃	—	2	2	no	—
548	D₄×C₁₃	—	4	1	no	—
549	D₄×C₁₃	—	4	1	no	—
550	D₄×C₁₃	—	4	1	no	—
551	D₄×C₁₃	—	4	2	no	—
552	D₄×C₁₃	—	4	2	no	—
553	D₄×C₁₃	—	4	2	no	—
554	D₄×C₁₃	—	4	2	no	—
555	D₄×C₁₃	—	4	4	no	—
556	D₄×C₁₃	—	4	2	no	—
557	D₄×C₁₃	—	8	1	no	—
558	D₄×C₁₃	—	8	1	no	—
559	D₄×C₁₃	—	8	2	no	—
560	D₄×C₁₃	—	8	2	no	—
561	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
562	C₂×C₄×C₁₃	—	2	2	no	—
563	C₂×C₄×C₁₃	—	2	2	no	—
564	C₂×C₄×C₁₃	—	2	2	no	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	—	2	1	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	1	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	2	no	—
577	C₂×C₄×C₁₃	—	2	2	no	—
578	C₂×C₄×C₁₃	—	2	2	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	4	1	no	—
581	C₂×C₄×C₁₃	—	4	1	no	—
582	C₂×C₄×C₁₃	—	4	1	no	—
583	C₂×C₄×C₁₃	—	4	2	no	—
584	C₂×C₄×C₁₃	—	4	2	no	—
585	C₂×C₄×C₁₃	—	4	2	no	—
586	C₂×C₄×C₁₃	—	4	2	no	—
587	C₂×C₄×C₁₃	—	4	4	no	—
588	C₂×C₄×C₁₃	—	4	2	no	—
589	C₂×C₄×C₁₃	—	4	2	no	—
590	C₂×C₄×C₁₃	—	4	2	no	—
591	C₂×C₄×C₁₃	—	8	1	no	—
592	C₂×C₄×C₁₃	—	8	1	no	—
593	C₂×C₄×C₁₃	—	8	2	no	—
594	C₂×C₄×C₁₃	—	8	2	no	—
595	C₂×C₄×C₁₃	—	8	2	no	—
596	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
597	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
598	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
599	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
600	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
601	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
602	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
603	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
604	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
605	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
606	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
607	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
608	C₈×C₁₃	—	2	2	no	—
609	C₈×C₁₃	—	2	2	no	—
610	C₈×C₁₃	—	2	2	no	—
611	C₈×C₁₃	—	2	2	no	—
612	#556	—	2	1	no	—
613	#556	C₂²×C₁₃	1	1	yes	characteristic
614	#555	C₂²×C₁₃	1	1	yes	characteristic
615	#555	C₂²×C₁₃	1	2	yes	—
616	#554	C₂²×C₁₃	1	1	yes	characteristic
617	#554	C₂²×C₁₃	1	2	yes	complemented
618	#553	—	2	1	no	—
619	#553	C₂²×C₁₃	1	2	yes	—
620	#553	C₂²×C₁₃	1	2	yes	complemented
621	#552	—	2	1	no	—
622	#552	C₂²×C₁₃	1	1	yes	characteristic
623	#552	C₂²×C₁₃	1	1	yes	characteristic
624	#551	—	2	1	no	—
625	#551	—	2	1	no	—
626	#548	—	2	1	no	—
627	#548	—	2	1	no	—
628	#547	—	2	1	no	—
629	#547	C₂²×C₁₃	1	1	yes	characteristic
630	#546	C₂²×C₁₃	1	1	yes	characteristic
631	#546	C₂²×C₁₃	1	1	yes	characteristic
632	#542	—	2	1	no	—
633	#542	—	2	1	no	—
634	#537	—	2	1	no	—
635	#533	C₂²×C₁₃	1	1	yes	characteristic
636	#533	C₂²×C₁₃	1	1	yes	characteristic
637	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	#532	C₂²×C₁₃	1	1	yes	characteristic
639	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#529	—	2	1	no	—
643	#529	—	2	1	no	—
644	#529	C₂²×C₁₃	1	1	yes	characteristic
645	#529	C₂²×C₁₃	1	1	yes	characteristic
646	#525	—	2	1	no	—
647	#520	—	2	1	no	—
648	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
649	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
650	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
651	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
652	C₂×#117	—	2	1	no	—
653	#501	C₂²×C₁₃	1	2	yes	complemented
654	#501	C₂²×C₁₃	1	2	yes	complemented
655	#499	C₂²×C₁₃	1	2	yes	complemented
656	#491	C₂²×C₁₃	1	2	yes	complemented
657	#489	C₂²×C₁₃	1	2	yes	—
658	#488	C₂²×C₁₃	1	2	yes	—
659	#485	C₂²×C₁₃	1	2	yes	—
660	#485	C₂²×C₁₃	1	2	yes	—
661	#485	C₂²×C₁₃	1	2	yes	complemented
662	#483	C₂²×C₁₃	1	2	yes	complemented
663	#482	C₂²×C₁₃	1	2	yes	—
664	#482	C₂²×C₁₃	1	2	yes	complemented
665	#482	C₂²×C₁₃	1	2	yes	complemented
666	#481	C₂²×C₁₃	1	2	yes	—
667	#480	C₂²×C₁₃	1	2	yes	—
668	#479	C₂²×C₁₃	1	2	yes	complemented
669	#478	C₂²×C₁₃	1	2	yes	—
670	#478	C₂²×C₁₃	1	2	yes	—
671	#478	C₂²×C₁₃	1	2	yes	—
672	#478	C₂²×C₁₃	1	2	yes	complemented
673	#478	C₂²×C₁₃	1	2	yes	complemented
674	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
675	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
676	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	#476	C₂²×C₁₃	1	1	yes	characteristic
679	#476	C₂²×C₁₃	1	1	yes	characteristic
680	#476	C₂²×C₁₃	1	1	yes	characteristic
681	#476	C₂²×C₁₃	1	1	yes	characteristic
682	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	#475	C₂²×C₁₃	1	2	yes	complemented
684	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
685	#474	C₂²×C₁₃	1	1	yes	characteristic
686	#474	C₂²×C₁₃	1	1	yes	characteristic
687	#474	C₂²×C₁₃	1	2	yes	—
688	#474	C₂²×C₁₃	1	2	yes	complemented
689	#469	C₂²×C₁₃	1	2	yes	—
690	#468	C₂²×C₁₃	1	2	yes	—
691	#468	C₂²×C₁₃	1	2	yes	—
692	#468	C₂²×C₁₃	1	2	yes	complemented
693	#466	C₂²×C₁₃	1	2	yes	—
694	#465	C₂²×C₁₃	1	2	yes	complemented
695	#463	C₂²×C₁₃	1	2	yes	—
696	#463	C₂²×C₁₃	1	2	yes	—
697	#461	C₂²×C₁₃	1	2	yes	complemented
698	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
699	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
700	#459	C₂²×C₁₃	1	1	yes	characteristic
701	#459	C₂²×C₁₃	1	1	yes	characteristic
702	#449	C₂²×C₁₃	1	2	yes	—
703	#449	C₂²×C₁₃	1	2	yes	—
704	#447	C₂²×C₁₃	1	2	yes	—
705	#446	C₂²×C₁₃	1	2	yes	complemented
706	#442	C₂²×C₁₃	1	2	yes	—
707	#442	C₂²×C₁₃	1	2	yes	—
708	#442	C₂²×C₁₃	1	2	yes	—
709	#440	C₂²×C₁₃	1	2	yes	complemented
710	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
711	C₄×D₈	C₂²×C₁₃	1	2	yes	—
712	#436	C₂²×C₁₃	1	2	yes	—
713	#435	C₂²×C₁₃	1	2	yes	—
714	#435	C₂²×C₁₃	1	2	yes	complemented
715	#432	C₂²×C₁₃	1	1	yes	characteristic
716	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
718	#428	C₂²×C₁₃	1	2	yes	—
719	#428	C₂²×C₁₃	1	2	yes	complemented
720	#427	C₂²×C₁₃	1	2	yes	complemented
721	#423	C₂²×C₁₃	1	1	yes	characteristic
722	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
724	#418	C₂²×C₁₃	1	2	yes	—
725	#417	C₂²×C₁₃	1	2	yes	—
726	#416	C₂²×C₁₃	1	2	yes	—
727	C₂²×C₁₃	—	2	1	no	—
728	C₂²×C₁₃	—	2	1	no	—
729	C₂²×C₁₃	—	2	1	no	—
730	C₂²×C₁₃	—	2	1	no	—
731	C₂²×C₁₃	—	2	1	no	—
732	C₂²×C₁₃	—	2	1	no	—
733	C₂²×C₁₃	—	2	2	no	—
734	C₂²×C₁₃	—	2	1	no	—
735	C₂²×C₁₃	—	2	1	no	—
736	C₂²×C₁₃	—	2	1	no	—
737	C₂²×C₁₃	—	4	1	no	—
738	C₂²×C₁₃	—	4	1	no	—
739	C₂²×C₁₃	—	4	2	no	—
740	C₂²×C₁₃	—	4	1	no	—
741	C₂²×C₁₃	—	4	1	no	—
742	C₂²×C₁₃	—	4	2	no	—
743	C₂²×C₁₃	—	4	1	no	—
744	C₂²×C₁₃	—	4	2	no	—
745	C₂²×C₁₃	—	8	4	no	—
746	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
747	C₄×C₁₃	—	2	1	no	—
748	C₄×C₁₃	—	2	1	no	—
749	C₄×C₁₃	—	2	1	no	—
750	C₄×C₁₃	—	2	1	no	—
751	C₄×C₁₃	—	2	1	no	—
752	C₄×C₁₃	—	2	1	no	—
753	C₄×C₁₃	—	2	1	no	—
754	C₄×C₁₃	—	2	1	no	—
755	C₄×C₁₃	—	2	1	no	—
756	C₄×C₁₃	—	2	1	no	—
757	C₄×C₁₃	—	4	2	no	—
758	C₄×C₁₃	—	4	2	no	—
759	C₄×C₁₃	—	4	1	no	—
760	C₄×C₁₃	—	4	1	no	—
761	C₄×C₁₃	—	4	1	no	—
762	C₄×C₁₃	—	4	1	no	—
763	C₄×C₁₃	—	4	1	no	—
764	C₄×C₁₃	—	4	1	no	—
765	C₄×C₁₃	—	4	2	no	—
766	C₄×C₁₃	#575	1	2	yes	—
767	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
768	C₄×C₁₃	#585	1	1	yes	characteristic
769	C₂×#41	—	2	1	no	—
770	C₂×#41	—	2	1	no	—
771	C₂×#41	—	2	1	no	—
772	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
773	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
774	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
775	C₂²×Q₈	—	2	1	no	—
776	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
777	C₂³×C₄	—	2	1	no	—
778	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
779	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
780	C₂×D₈	C₂³×C₁₃	1	2	yes	—
781	C₂×D₈	C₂³×C₁₃	1	2	yes	—
782	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
783	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
784	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
785	C₄⋊Q₈	—	2	1	no	—
786	C₄⋊Q₈	—	2	1	no	—
787	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
788	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
789	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
790	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
791	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
792	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
793	#127	C₂³×C₁₃	1	1	yes	characteristic
794	#126	—	2	1	no	—
795	#126	—	2	1	no	—
796	#126	—	2	2	no	—
797	#126	—	2	2	no	—
798	#126	—	2	1	no	—
799	#126	—	2	1	no	—
800	#126	—	2	1	no	—
801	#126	—	2	1	no	—
802	#125	—	2	1	no	—
803	#125	—	2	1	no	—
804	#125	—	2	1	no	—
805	#125	C₂³×C₁₃	1	1	yes	characteristic
806	#125	C₂³×C₁₃	1	1	yes	characteristic
807	#125	C₂³×C₁₃	1	2	yes	—
808	#125	C₂³×C₁₃	1	2	yes	—
809	#124	—	2	1	no	—
810	#124	—	2	1	no	—
811	#124	—	2	2	no	—
812	#124	—	2	2	no	—
813	#124	—	2	1	no	—
814	#124	—	2	1	no	—
815	#124	—	2	1	no	—
816	#124	C₂³×C₁₃	1	1	yes	characteristic
817	#124	C₂³×C₁₃	1	1	yes	characteristic
818	#123	—	2	1	no	—
819	#123	—	2	1	no	—
820	#123	—	2	1	no	—
821	#123	—	2	1	no	—
822	#123	—	2	1	no	—
823	#123	—	2	1	no	—
824	#123	—	2	1	no	—
825	#123	—	2	1	no	—
826	#123	—	2	2	no	—
827	#123	—	2	2	no	—
828	C₂²⋊Q₈	—	2	1	no	—
829	C₂²⋊Q₈	—	2	1	no	—
830	C₂²⋊Q₈	—	2	2	no	—
831	C₂²⋊Q₈	—	2	1	no	—
832	C₂²⋊Q₈	—	2	1	no	—
833	C₂²⋊Q₈	—	2	1	no	—
834	C₂²⋊Q₈	—	2	1	no	—
835	C₂²⋊Q₈	—	2	1	no	—
836	C₂²⋊Q₈	—	2	1	no	—
837	C₂²⋊Q₈	—	2	1	no	—
838	C₂²⋊Q₈	—	2	2	no	—
839	C₂²⋊Q₈	—	2	2	no	—
840	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
841	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
842	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
843	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
844	#121	—	2	1	no	—
845	#121	—	2	1	no	—
846	#121	—	2	2	no	—
847	#121	—	2	2	no	—
848	#121	—	2	2	no	—
849	#121	—	2	1	no	—
850	#121	—	2	1	no	—
851	#121	—	2	1	no	—
852	#121	—	2	1	no	—
853	#121	—	2	1	no	—
854	#121	C₂³×C₁₃	1	1	yes	characteristic
855	#121	C₂³×C₁₃	1	1	yes	characteristic
856	#121	C₂³×C₁₃	1	2	yes	—
857	#121	C₂³×C₁₃	1	2	yes	—
858	#121	C₂³×C₁₃	1	2	yes	—
859	#120	—	2	1	no	—
860	#120	—	2	1	no	—
861	C₄×Q₈	—	2	1	no	—
862	C₄×Q₈	—	2	1	no	—
863	C₄×Q₈	—	2	1	no	—
864	C₄×Q₈	—	2	1	no	—
865	C₄×Q₈	—	2	1	no	—
866	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
867	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
868	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
869	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
870	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
871	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	2	no	—
879	C₄×D₄	—	2	2	no	—
880	C₄×D₄	—	2	1	no	—
881	C₄×D₄	—	2	1	no	—
882	C₄×D₄	—	2	1	no	—
883	C₄×D₄	—	2	1	no	—
884	C₄×D₄	—	2	1	no	—
885	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
886	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
887	C₄×D₄	D₄×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	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
892	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
893	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
894	C₄×D₄	C₂³×C₁₃	1	2	yes	—
895	C₄×D₄	C₂³×C₁₃	1	2	yes	—
896	C₄×D₄	C₂³×C₁₃	1	2	yes	—
897	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
898	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
899	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
900	#117	—	2	1	no	—
901	#117	—	2	1	no	—
902	#117	—	2	1	no	—
903	#117	—	2	2	no	—
904	#117	—	2	1	no	—
905	#117	—	2	1	no	—
906	#117	—	2	1	no	—
907	#117	—	2	1	no	—
908	#117	—	2	1	no	—
909	#117	—	2	1	no	—
910	#117	D₄×C₁₃	1	1	yes	characteristic
911	#117	D₄×C₁₃	1	1	yes	characteristic
912	#117	D₄×C₁₃	1	1	yes	characteristic
913	#117	C₂³×C₁₃	1	1	yes	characteristic
914	#117	C₂³×C₁₃	1	1	yes	characteristic
915	#117	C₂³×C₁₃	1	2	yes	—
916	#117	C₂³×C₁₃	1	2	yes	—
917	C₂×C₄⋊C₄	—	2	1	no	—
918	C₂×C₄⋊C₄	—	2	1	no	—
919	C₂×C₄⋊C₄	—	2	1	no	—
920	C₂×C₄⋊C₄	—	2	2	no	—
921	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
923	C₂×C₂²⋊C₄	—	2	1	no	—
924	C₂×C₂²⋊C₄	—	2	1	no	—
925	C₂×C₂²⋊C₄	—	2	1	no	—
926	C₂×C₄²	—	2	1	no	—
927	C₂×C₄²	—	2	1	no	—
928	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
929	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
930	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
931	#107	C₂³×C₁₃	1	2	yes	—
932	#107	C₂³×C₁₃	1	2	yes	—
933	#107	C₂³×C₁₃	1	2	yes	—
934	#107	C₂³×C₁₃	1	2	yes	—
935	#107	C₂³×C₁₃	1	2	yes	—
936	#107	C₂³×C₁₃	1	2	yes	—
937	#106	C₂³×C₁₃	1	2	yes	—
938	#106	C₂³×C₁₃	1	2	yes	—
939	#106	C₂³×C₁₃	1	2	yes	—
940	#106	C₂³×C₁₃	1	2	yes	—
941	#106	C₂³×C₁₃	1	2	yes	—
942	#106	C₂³×C₁₃	1	2	yes	—
943	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
944	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
945	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
946	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
947	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
948	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
949	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
950	#103	C₂³×C₁₃	1	2	yes	—
951	#103	C₂³×C₁₃	1	2	yes	—
952	#103	C₂³×C₁₃	1	2	yes	—
953	#103	C₂³×C₁₃	1	2	yes	—
954	#103	C₂³×C₁₃	1	2	yes	—
955	#103	C₂³×C₁₃	1	2	yes	—
956	#102	C₂³×C₁₃	1	2	yes	—
957	#102	C₂³×C₁₃	1	2	yes	—
958	#102	C₂³×C₁₃	1	2	yes	—
959	#102	C₂³×C₁₃	1	2	yes	—
960	#102	C₂³×C₁₃	1	2	yes	—
961	#102	C₂³×C₁₃	1	2	yes	—
962	#102	C₂³×C₁₃	1	2	yes	—
963	#102	C₂³×C₁₃	1	2	yes	—
964	#102	C₂³×C₁₃	1	2	yes	—
965	#102	C₂³×C₁₃	1	2	yes	—
966	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
967	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
968	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
969	#97	C₂³×C₁₃	1	2	yes	—
970	#97	C₂³×C₁₃	1	2	yes	—
971	C₄×C₈	C₂³×C₁₃	1	2	yes	—
972	C₂×C₁₃	—	4	1	no	—
973	C₂×C₁₃	—	4	1	no	—
974	C₂×C₁₃	—	4	1	no	—
975	C₂×C₁₃	—	4	2	no	—
976	C₂×C₁₃	—	8	2	no	—
977	C₂×C₁₃	—	8	1	no	—
978	C₂×C₁₃	#3489	1	1	yes	characteristic
979	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
980	C₂×C₁₃	#3585	1	1	yes	characteristic
981	C₂⁴	—	2	1	no	—
982	#41	—	2	2	no	—
983	#41	—	2	2	no	—
984	#41	—	4	2	no	—
985	#41	—	4	1	no	—
986	#41	—	4	1	no	—
987	#41	—	4	4	no	—
988	#41	—	8	2	no	—
989	#41	—	8	2	no	—
990	C₂×Q₈	—	2	1	no	—
991	C₂×Q₈	—	2	1	no	—
992	C₂×Q₈	—	2	1	no	—
993	C₂×Q₈	—	2	1	no	—
994	C₂×Q₈	—	2	2	no	—
995	C₂×Q₈	—	8	2	no	—
996	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
997	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₂×D₄	—	2	2	no	—
1000	C₂×D₄	—	2	1	no	—
1001	C₂×D₄	—	2	1	no	—
1002	C₂×D₄	—	2	2	no	—
1003	C₂×D₄	—	2	1	no	—
1004	C₂×D₄	—	2	1	no	—
1005	C₂×D₄	—	2	2	no	—
1006	C₂×D₄	—	2	2	no	—
1007	C₂×D₄	—	2	1	no	—
1008	C₂×D₄	—	2	1	no	—
1009	C₂×D₄	—	2	1	no	—
1010	C₂×D₄	—	4	1	no	—
1011	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1012	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1013	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1014	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1015	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1016	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1017	C₂²×C₄	—	2	1	no	—
1018	C₂²×C₄	—	2	2	no	—
1019	C₂²×C₄	—	2	1	no	—
1020	C₂²×C₄	—	2	1	no	—
1021	C₂²×C₄	—	2	1	no	—
1022	C₂²×C₄	—	2	1	no	—
1023	C₂²×C₄	—	2	2	no	—
1024	C₂²×C₄	—	2	1	no	—
1025	C₂²×C₄	—	2	1	no	—
1026	C₂²×C₄	—	2	1	no	—
1027	C₂²×C₄	—	2	1	no	—
1028	C₂²×C₄	—	2	2	no	—
1029	C₂²×C₄	—	2	2	no	—
1030	C₂²×C₄	—	4	4	no	—
1031	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1032	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1033	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1034	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1035	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1036	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1037	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1038	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1039	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1040	SD₁₆	—	4	2	no	—
1041	SD₁₆	—	4	2	no	—
1042	D₈	—	2	4	no	—
1043	D₈	—	4	2	no	—
1044	M₁₆	—	4	2	no	—
1045	M₁₆	—	4	2	no	—
1046	C₂×C₈	—	4	2	no	—
1047	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1048	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1049	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1050	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1051	C₄⋊C₄	—	2	2	no	—
1052	C₄⋊C₄	—	2	1	no	—
1053	C₄⋊C₄	—	2	1	no	—
1054	C₄⋊C₄	—	2	1	no	—
1055	C₄⋊C₄	—	2	1	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	—	2	1	no	—
1058	C₄⋊C₄	—	2	1	no	—
1059	C₄⋊C₄	—	2	1	no	—
1060	C₄⋊C₄	—	2	2	no	—
1061	C₄⋊C₄	—	2	2	no	—
1062	C₄⋊C₄	—	2	1	no	—
1063	C₄⋊C₄	—	2	2	no	—
1064	C₄⋊C₄	—	2	1	no	—
1065	C₄⋊C₄	—	2	1	no	—
1066	C₄⋊C₄	—	2	1	no	—
1067	C₄⋊C₄	—	2	1	no	—
1068	C₄⋊C₄	—	2	1	no	—
1069	C₄⋊C₄	—	2	1	no	—
1070	C₄⋊C₄	—	2	1	no	—
1071	C₄⋊C₄	—	2	2	no	—
1072	C₄⋊C₄	—	2	2	no	—
1073	C₄⋊C₄	—	2	1	no	—
1074	C₄⋊C₄	—	2	1	no	—
1075	C₄⋊C₄	—	2	1	no	—
1076	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1077	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1078	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1079	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1080	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1081	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1082	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1083	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1084	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1085	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1086	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1087	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1088	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1089	C₂²⋊C₄	—	2	1	no	—
1090	C₂²⋊C₄	—	2	1	no	—
1091	C₂²⋊C₄	—	2	1	no	—
1092	C₂²⋊C₄	—	2	1	no	—
1093	C₂²⋊C₄	—	2	2	no	—
1094	C₂²⋊C₄	—	2	2	no	—
1095	C₂²⋊C₄	—	2	1	no	—
1096	C₂²⋊C₄	—	2	1	no	—
1097	C₂²⋊C₄	—	2	1	no	—
1098	C₂²⋊C₄	—	2	1	no	—
1099	C₂²⋊C₄	—	2	1	no	—
1100	C₂²⋊C₄	—	2	1	no	—
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	1	no	—
1103	C₂²⋊C₄	—	2	1	no	—
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	2	2	no	—
1106	C₂²⋊C₄	—	2	2	no	—
1107	C₂²⋊C₄	—	2	1	no	—
1108	C₂²⋊C₄	—	2	1	no	—
1109	C₂²⋊C₄	—	2	1	no	—
1110	C₂²⋊C₄	—	2	1	no	—
1111	C₂²⋊C₄	—	2	2	no	—
1112	C₂²⋊C₄	—	2	2	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	2	2	no	—
1115	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1116	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1117	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1118	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1119	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1120	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1121	C₄²	—	2	1	no	—
1122	C₄²	—	2	1	no	—
1123	C₄²	—	2	1	no	—
1124	C₄²	—	2	1	no	—
1125	C₄²	—	2	1	no	—
1126	C₄²	—	2	1	no	—
1127	C₄²	—	2	2	no	—
1128	C₄²	—	2	2	no	—
1129	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1130	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1131	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1132	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1133	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1134	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1135	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1136	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1137	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1138	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1139	C₁₃	#62115	1	1	yes	characteristic, direct product factor, Sylow
1140	C₂³	—	2	1	no	—
1141	C₂³	—	2	1	no	—
1142	C₂³	—	2	2	no	—
1143	C₂³	—	4	2	no	—
1144	C₂³	—	4	2	no	—
1145	C₂³	—	8	1	no	—
1146	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1147	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1148	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1149	Q₈	—	2	1	no	—
1150	Q₈	—	2	1	no	—
1151	Q₈	—	2	1	no	—
1152	Q₈	—	2	1	no	—
1153	Q₈	—	4	1	no	—
1154	Q₈	—	4	2	no	—
1155	Q₈	—	4	2	no	—
1156	Q₈	—	4	2	no	—
1157	Q₈	—	8	2	no	—
1158	Q₈	—	8	1	no	—
1159	D₄	—	2	2	no	—
1160	D₄	—	2	1	no	—
1161	D₄	—	2	1	no	—
1162	D₄	—	2	1	no	—
1163	D₄	—	2	2	no	—
1164	D₄	—	4	1	no	—
1165	D₄	—	4	1	no	—
1166	D₄	—	4	1	no	—
1167	D₄	—	4	2	no	—
1168	D₄	—	4	2	no	—
1169	D₄	—	4	2	no	—
1170	D₄	—	4	2	no	—
1171	D₄	—	4	4	no	—
1172	D₄	—	4	2	no	—
1173	D₄	—	8	1	no	—
1174	D₄	—	8	1	no	—
1175	D₄	—	8	2	no	—
1176	D₄	—	8	2	no	—
1177	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	2	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	4	1	no	—
1197	C₂×C₄	—	4	1	no	—
1198	C₂×C₄	—	4	1	no	—
1199	C₂×C₄	—	4	2	no	—
1200	C₂×C₄	—	4	2	no	—
1201	C₂×C₄	—	4	2	no	—
1202	C₂×C₄	—	4	2	no	—
1203	C₂×C₄	—	4	4	no	—
1204	C₂×C₄	—	4	2	no	—
1205	C₂×C₄	—	4	2	no	—
1206	C₂×C₄	—	4	2	no	—
1207	C₂×C₄	—	8	1	no	—
1208	C₂×C₄	—	8	1	no	—
1209	C₂×C₄	—	8	2	no	—
1210	C₂×C₄	—	8	2	no	—
1211	C₂×C₄	—	8	2	no	—
1212	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1213	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1214	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1215	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1216	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1217	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1218	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1219	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1220	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1221	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1222	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1223	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1224	C₈	—	2	2	no	—
1225	C₈	—	2	2	no	—
1226	C₈	—	2	2	no	—
1227	C₈	—	2	2	no	—
1228	C₂²	—	2	1	no	—
1229	C₂²	—	2	1	no	—
1230	C₂²	—	2	1	no	—
1231	C₂²	—	2	1	no	—
1232	C₂²	—	2	1	no	—
1233	C₂²	—	2	1	no	—
1234	C₂²	—	2	1	no	—
1235	C₂²	—	2	1	no	—
1236	C₂²	—	2	1	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	4	1	no	—
1239	C₂²	—	4	1	no	—
1240	C₂²	—	4	1	no	—
1241	C₂²	—	4	2	no	—
1242	C₂²	—	4	2	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	2	no	—
1246	C₂²	—	8	4	no	—
1247	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1248	C₄	—	2	1	no	—
1249	C₄	—	2	1	no	—
1250	C₄	—	2	1	no	—
1251	C₄	—	2	1	no	—
1252	C₄	—	2	1	no	—
1253	C₄	—	2	1	no	—
1254	C₄	—	2	1	no	—
1255	C₄	—	2	1	no	—
1256	C₄	—	2	1	no	—
1257	C₄	—	2	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	2	no	—
1261	C₄	—	4	2	no	—
1262	C₄	—	4	2	no	—
1263	C₄	—	4	1	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	1	no	—
1267	C₄	C₁₃×#575	1	2	yes	—
1268	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1269	C₄	C₁₃×#585	1	1	yes	characteristic
1270	C₂	—	4	1	no	—
1271	C₂	—	4	1	no	—
1272	C₂	—	4	1	no	—
1273	C₂	—	4	2	no	—
1274	C₂	—	8	1	no	—
1275	C₂	—	8	2	no	—
1276	C₂	C₁₃×#3489	1	1	yes	characteristic
1277	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1278	C₂	C₁₃×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3511	C₂	semidirect
2. C₁₃×#3475	C₂	semidirect
3. C₁₃×#3389	C₂	semidirect
4. C₁₃×#3376	C₂	semidirect
5. C₁₃×#3351	C₂	semidirect
6. C₁₃×#3348	C₂	semidirect
7. C₁₃×#3347	C₂	semidirect
8. C₁₃×#3322	C₂	semidirect
9. C₁₃×#3319	C₂	semidirect
10. C₁₃×#3307	C₂	semidirect
11. C₁₃×#3254	C₂	semidirect
12. C₁₃×#3251	C₂	semidirect
13. C₁₃×#3247	C₂	semidirect
14. C₁₃×#3238	C₂	semidirect
15. C₁₃×#3237	C₂	semidirect
16. C₁₃×#3233	C₂	semidirect
17. C₁₃×#3115	C₂	semidirect
18. C₁₃×#3109	C₂	semidirect
19. C₁₃×#3106	C₂	semidirect
20. C₁₃×#3079	C₂	semidirect
21. C₁₃×#3077	C₂	semidirect
22. C₁₃×#3076	C₂	semidirect
23. C₁₃×#2989	C₂	semidirect
29. C₁₃×#554	C₂²	semidirect
32. C₁₃×#553	C₂²	semidirect
49. C₁₃×#533	C₂²	semidirect
51. C₁₃×#532	C₂²	semidirect
52. C₁₃×#532	C₂²	semidirect
53. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#501	C₂²	semidirect
67. C₁₃×#499	C₂²	semidirect
68. C₁₃×#491	C₂²	semidirect
73. C₁₃×#485	C₂²	semidirect
74. C₁₃×#483	C₂²	semidirect
76. C₁₃×#482	C₂²	semidirect
77. C₁₃×#482	C₂²	semidirect
80. C₁₃×#479	C₂²	semidirect
84. C₁₃×#478	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#477	C₂²	semidirect
87. C₁₃×#477	C₂²	semidirect
88. C₁₃×#477	C₂²	semidirect
89. C₁₃×#477	C₂²	semidirect
94. C₁₃×#475	C₂²	semidirect
95. C₁₃×#475	C₂²	semidirect
96. C₁₃×#475	C₂²	semidirect
100. C₁₃×#474	C₂²	semidirect
104. C₁₃×#468	C₂²	semidirect
106. C₁₃×#465	C₂²	semidirect
109. C₁₃×#461	C₂²	semidirect
110. C₁₃×#460	C₂²	semidirect
111. C₁₃×#460	C₂²	semidirect
117. C₁₃×#446	C₂²	semidirect
121. C₁₃×#440	C₂²	semidirect
122. C₄×C₁₃×SD₁₆	C₂²	semidirect
126. C₁₃×#435	C₂²	semidirect
128. C₁₃×#432	C₂²	semidirect
129. C₁₃×#431	C₂²	semidirect
131. C₁₃×#428	C₂²	semidirect
132. C₁₃×#427	C₂²	semidirect
134. C₁₃×#423	C₂²	semidirect
135. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
342. #62115	C₁₃	direct (N × H)
501. #3511	C₂×C₁₃	semidirect
502. #3475	C₂×C₁₃	semidirect
503. #3389	C₂×C₁₃	semidirect
504. #3376	C₂×C₁₃	semidirect
505. #3351	C₂×C₁₃	semidirect
506. #3348	C₂×C₁₃	semidirect
507. #3347	C₂×C₁₃	semidirect
508. #3322	C₂×C₁₃	semidirect
509. #3319	C₂×C₁₃	semidirect
510. #3307	C₂×C₁₃	semidirect
511. #3254	C₂×C₁₃	semidirect
512. #3251	C₂×C₁₃	semidirect
513. #3247	C₂×C₁₃	semidirect
514. #3238	C₂×C₁₃	semidirect
515. #3237	C₂×C₁₃	semidirect
516. #3233	C₂×C₁₃	semidirect
517. #3115	C₂×C₁₃	semidirect
518. #3109	C₂×C₁₃	semidirect
519. #3106	C₂×C₁₃	semidirect
520. #3079	C₂×C₁₃	semidirect
521. #3077	C₂×C₁₃	semidirect
522. #3076	C₂×C₁₃	semidirect
523. #2989	C₂×C₁₃	semidirect
617. #554	C₂²×C₁₃	semidirect
620. #553	C₂²×C₁₃	semidirect
637. #533	C₂²×C₁₃	semidirect
639. #532	C₂²×C₁₃	semidirect
640. #532	C₂²×C₁₃	semidirect
641. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
653. #501	C₂²×C₁₃	semidirect
654. #501	C₂²×C₁₃	semidirect
655. #499	C₂²×C₁₃	semidirect
656. #491	C₂²×C₁₃	semidirect
661. #485	C₂²×C₁₃	semidirect
662. #483	C₂²×C₁₃	semidirect
664. #482	C₂²×C₁₃	semidirect
665. #482	C₂²×C₁₃	semidirect
668. #479	C₂²×C₁₃	semidirect
672. #478	C₂²×C₁₃	semidirect
673. #478	C₂²×C₁₃	semidirect
674. #477	C₂²×C₁₃	semidirect
675. #477	C₂²×C₁₃	semidirect
676. #477	C₂²×C₁₃	semidirect
677. #477	C₂²×C₁₃	semidirect
682. #475	C₂²×C₁₃	semidirect
683. #475	C₂²×C₁₃	semidirect
684. #475	C₂²×C₁₃	semidirect
688. #474	C₂²×C₁₃	semidirect
692. #468	C₂²×C₁₃	semidirect
694. #465	C₂²×C₁₃	semidirect
697. #461	C₂²×C₁₃	semidirect
698. #460	C₂²×C₁₃	semidirect
699. #460	C₂²×C₁₃	semidirect
705. #446	C₂²×C₁₃	semidirect
709. #440	C₂²×C₁₃	semidirect
710. C₄×SD₁₆	C₂²×C₁₃	semidirect
714. #435	C₂²×C₁₃	semidirect
716. #432	C₂²×C₁₃	semidirect
717. #431	C₂²×C₁₃	semidirect
719. #428	C₂²×C₁₃	semidirect
720. #427	C₂²×C₁₃	semidirect
722. #423	C₂²×C₁₃	semidirect
723. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1139. C₁₃	#62115	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3511	2
C₁₃×#3475	2
C₁₃×#3389	2
C₁₃×#3376	2
C₁₃×#3351	2
C₁₃×#3348	2
C₁₃×#3347	2
C₁₃×#3322	2
C₁₃×#3319	2
C₁₃×#3307	2
C₁₃×#3254	2
C₁₃×#3251	2
C₁₃×#3247	2
C₁₃×#3238	2
C₁₃×#3237	2
C₁₃×#3233	2
C₁₃×#3115	2
C₁₃×#3109	2
C₁₃×#3106	2
C₁₃×#3079	2
C₁₃×#3077	2
C₁₃×#3076	2
C₁₃×#2989	2
#62115	13

Subgroups — C13×#62115 #15748454

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62115 #15748454