Subgroups — C₁₃×#60979 #15747318

Order 3328.

1796 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×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#540	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3260	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3257	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3241	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3236	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3221	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3208	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3193	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3188	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3187	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3174	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3126	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3119	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3110	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3101	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#556	—	2	1	no	—
25	C₁₃×#554	—	2	1	no	—
26	C₁₃×#552	—	2	1	no	—
27	C₁₃×#552	—	2	1	no	—
28	C₁₃×#552	—	2	1	no	—
29	C₁₃×#552	—	2	1	no	—
30	C₁₃×#551	—	2	1	no	—
31	C₁₃×#551	—	2	1	no	—
32	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#540	—	2	1	no	—
38	C₁₃×#540	—	2	1	no	—
39	C₁₃×#540	—	2	1	no	—
40	C₁₃×#540	—	2	1	no	—
41	C₁₃×#540	C₂²	1	2	yes	—
42	C₁₃×#540	C₂²	1	2	yes	—
43	C₁₃×#540	C₂²	1	2	yes	—
44	C₁₃×#540	C₂²	1	2	yes	—
45	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#533	C₂²	1	1	yes	characteristic
47	C₁₃×#533	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
49	C₁₃×#529	C₂²	1	1	yes	characteristic
50	C₁₃×#529	C₂²	1	1	yes	characteristic
51	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
52	C₁₃×#525	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×#123	—	2	1	no	—
54	C₂×C₁₃×#123	—	2	1	no	—
55	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×#121	—	2	1	no	—
57	C₂×C₁₃×#121	—	2	1	no	—
58	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
60	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
64	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#499	C₂²	1	2	yes	complemented
67	C₁₃×#496	C₂²	1	2	yes	complemented
68	C₁₃×#492	C₂²	1	2	yes	complemented
69	C₁₃×#491	C₂²	1	2	yes	complemented
70	C₁₃×#490	C₂²	1	2	yes	complemented
71	C₁₃×#488	C₂²	1	2	yes	complemented
72	C₁₃×#486	C₂²	1	2	yes	complemented
73	C₁₃×#484	C₂²	1	1	yes	characteristic
74	C₁₃×#484	C₂²	1	1	yes	characteristic
75	C₁₃×#484	C₂²	1	1	yes	characteristic
76	C₁₃×#483	C₂²	1	1	yes	characteristic
77	C₁₃×#483	C₂²	1	1	yes	characteristic
78	C₁₃×#483	C₂²	1	1	yes	characteristic
79	C₁₃×#482	C₂²	1	2	yes	complemented
80	C₁₃×#482	C₂²	1	2	yes	complemented
81	C₁₃×#481	C₂²	1	1	yes	characteristic
82	C₁₃×#481	C₂²	1	2	yes	complemented
83	C₁₃×#480	C₂²	1	1	yes	characteristic
84	C₁₃×#480	C₂²	1	2	yes	complemented
85	C₁₃×#479	C₂²	1	2	yes	complemented
86	C₁₃×#479	C₂²	1	2	yes	complemented
87	C₁₃×#479	C₂²	1	2	yes	complemented
88	C₁₃×#478	C₂²	1	2	yes	complemented
89	C₁₃×#478	C₂²	1	2	yes	complemented
90	C₁₃×#478	C₂²	1	2	yes	complemented
91	C₁₃×#476	C₂²	1	2	yes	complemented
92	C₁₃×#474	C₂²	1	2	yes	complemented
93	C₁₃×#469	C₂²	1	2	yes	complemented
94	C₁₃×#468	C₂²	1	2	yes	complemented
95	C₁₃×#468	C₂²	1	2	yes	complemented
96	C₁₃×#468	C₂²	1	2	yes	complemented
97	C₁₃×#466	C₂²	1	2	yes	complemented
98	C₁₃×#465	C₂²	1	2	yes	complemented
99	C₁₃×#465	C₂²	1	2	yes	complemented
100	C₁₃×#465	C₂²	1	2	yes	complemented
101	C₁₃×#463	C₂²	1	2	yes	complemented
102	C₁₃×#463	C₂²	1	2	yes	complemented
103	C₁₃×#461	C₂²	1	2	yes	complemented
104	C₁₃×#461	C₂²	1	2	yes	complemented
105	C₁₃×#460	C₂²	1	2	yes	complemented
106	C₁₃×#460	C₂²	1	2	yes	complemented
107	C₁₃×#460	C₂²	1	2	yes	complemented
108	C₁₃×#459	C₂²	1	2	yes	complemented
109	C₁₃×#450	C₂²	1	1	yes	characteristic
110	C₁₃×#450	C₂²	1	1	yes	characteristic
111	C₁₃×#450	C₂²	1	1	yes	characteristic
112	C₁₃×#450	C₂²	1	1	yes	characteristic
113	C₁₃×#450	C₂²	1	1	yes	characteristic
114	C₁₃×#450	C₂²	1	1	yes	characteristic
115	C₁₃×#449	C₂²	1	2	yes	complemented
116	C₁₃×#449	C₂²	1	2	yes	complemented
117	C₁₃×#448	C₂²	1	2	yes	complemented
118	C₁₃×#448	C₂²	1	2	yes	complemented
119	C₁₃×#447	C₂²	1	1	yes	characteristic
120	C₁₃×#447	C₂²	1	1	yes	characteristic
121	C₁₃×#442	C₂²	1	2	yes	complemented
122	C₁₃×#440	C₂²	1	2	yes	complemented
123	C₁₃×#440	C₂²	1	2	yes	complemented
124	C₁₃×#440	C₂²	1	2	yes	complemented
125	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
126	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
127	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
128	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
129	C₁₃×#433	C₂²	1	2	yes	complemented
130	C₁₃×#433	C₂²	1	2	yes	complemented
131	C₁₃×#432	C₂²	1	1	yes	characteristic
132	C₁₃×#432	C₂²	1	1	yes	characteristic
133	C₁₃×#431	C₂²	1	1	yes	characteristic
134	C₁₃×#431	C₂²	1	1	yes	characteristic
135	C₁₃×#424	C₂²	1	2	yes	complemented
136	C₁₃×#407	C₂²	1	1	yes	characteristic
137	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
138	C₁₃×#405	C₂²	1	2	yes	complemented
139	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
140	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
141	C₂²×D₄×C₁₃	—	2	1	no	—
142	C₂²×D₄×C₁₃	—	2	1	no	—
143	C₂²×D₄×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	—	2	1	no	—
145	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
146	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃	—	2	1	no	—
148	C₂³×C₄×C₁₃	—	2	1	no	—
149	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×D₈	C₂³	1	2	yes	—
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×#127	—	2	1	no	—
166	C₁₃×#127	—	2	1	no	—
167	C₁₃×#127	C₂³	1	2	yes	—
168	C₁₃×#127	C₂³	1	2	yes	—
169	C₁₃×#126	—	2	1	no	—
170	C₁₃×#126	—	2	1	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#126	—	2	1	no	—
175	C₁₃×#126	—	2	1	no	—
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	—	2	1	no	—
182	C₁₃×#125	—	2	1	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	—	2	1	no	—
185	C₁₃×#125	—	2	1	no	—
186	C₁₃×#125	C₂³	1	1	yes	characteristic
187	C₁₃×#125	C₂³	1	2	yes	—
188	C₁₃×#125	C₂³	1	2	yes	—
189	C₁₃×#125	C₂³	1	1	yes	characteristic
190	C₁₃×#124	—	2	1	no	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	C₂³	1	1	yes	characteristic
193	C₁₃×#124	C₂³	1	1	yes	characteristic
194	C₁₃×#123	—	2	1	no	—
195	C₁₃×#123	—	2	1	no	—
196	C₁₃×#123	—	2	1	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×#123	—	2	1	no	—
208	C₁₃×#123	—	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	—	2	1	no	—
213	C₁₃×C₂²⋊Q₈	—	2	1	no	—
214	C₁₃×C₂²⋊Q₈	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	—	2	1	no	—
217	C₁₃×C₂²⋊Q₈	—	2	1	no	—
218	C₁₃×C₂²⋊Q₈	—	2	1	no	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	—	2	2	no	—
230	C₁₃×#121	—	2	2	no	—
231	C₁₃×#121	—	2	2	no	—
232	C₁₃×#121	—	2	2	no	—
233	C₁₃×#121	—	2	2	no	—
234	C₁₃×#121	—	2	2	no	—
235	C₁₃×#121	—	2	2	no	—
236	C₁₃×#121	—	2	2	no	—
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	2	yes	—
239	C₁₃×#121	C₂³	1	2	yes	—
240	C₁₃×#121	C₂³	1	2	yes	—
241	C₁₃×#121	C₂³	1	2	yes	—
242	C₁₃×#121	C₂³	1	1	yes	characteristic
243	C₁₃×#120	—	2	1	no	—
244	C₄×Q₈×C₁₃	—	2	1	no	—
245	C₄×Q₈×C₁₃	—	2	1	no	—
246	C₄×Q₈×C₁₃	—	2	1	no	—
247	C₄×Q₈×C₁₃	—	2	1	no	—
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
265	C₄×D₄×C₁₃	C₂³	1	2	yes	—
266	C₄×D₄×C₁₃	C₂³	1	2	yes	—
267	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
268	C₄×D₄×C₁₃	C₂³	1	2	yes	—
269	C₄×D₄×C₁₃	C₂³	1	2	yes	—
270	C₁₃×#117	—	2	1	no	—
271	C₁₃×#117	—	2	1	no	—
272	C₁₃×#117	—	2	1	no	—
273	C₁₃×#117	—	2	1	no	—
274	C₁₃×#117	—	2	1	no	—
275	C₁₃×#117	—	2	1	no	—
276	C₁₃×#117	—	2	1	no	—
277	C₁₃×#117	D₄	1	1	yes	characteristic
278	C₁₃×#117	D₄	1	1	yes	characteristic
279	C₁₃×#117	D₄	1	1	yes	characteristic
280	C₁₃×#117	D₄	1	1	yes	characteristic
281	C₁₃×#117	C₂³	1	1	yes	characteristic
282	C₁₃×#117	C₂³	1	1	yes	characteristic
283	C₁₃×#117	C₂³	1	1	yes	characteristic
284	C₁₃×#117	C₂³	1	1	yes	characteristic
285	C₁₃×#117	C₂³	1	1	yes	characteristic
286	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
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	D₄	1	1	yes	characteristic
291	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
292	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
297	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
298	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
301	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
302	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
304	C₁₃×#107	C₂³	1	2	yes	—
305	C₁₃×#107	C₂³	1	2	yes	—
306	C₁₃×#107	C₂³	1	2	yes	—
307	C₁₃×#107	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×C₄⋊C₈	C₂³	1	2	yes	—
313	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
314	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₃×#103	C₂³	1	2	yes	—
317	C₁₃×#103	C₂³	1	2	yes	—
318	C₁₃×#103	C₂³	1	2	yes	—
319	C₁₃×#103	C₂³	1	2	yes	—
320	C₁₃×#103	C₂³	1	2	yes	—
321	C₁₃×#103	C₂³	1	2	yes	—
322	C₁₃×#102	C₂³	1	2	yes	—
323	C₁₃×#102	C₂³	1	2	yes	—
324	C₁₃×#102	C₂³	1	2	yes	—
325	C₁₃×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
333	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×#97	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₄×C₈×C₁₃	C₂³	1	2	yes	—
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#60979	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₂⁴×C₁₃	—	2	1	no	—
345	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
346	C₁₃×#41	—	4	2	no	—
347	C₂×Q₈×C₁₃	—	2	1	no	—
348	C₂×Q₈×C₁₃	—	2	1	no	—
349	C₂×Q₈×C₁₃	—	2	1	no	—
350	C₂×Q₈×C₁₃	—	4	2	no	—
351	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂×D₄×C₁₃	—	2	1	no	—
355	C₂×D₄×C₁₃	—	2	1	no	—
356	C₂×D₄×C₁₃	—	2	1	no	—
357	C₂×D₄×C₁₃	—	2	2	no	—
358	C₂×D₄×C₁₃	—	2	2	no	—
359	C₂×D₄×C₁₃	—	2	2	no	—
360	C₂×D₄×C₁₃	—	2	2	no	—
361	C₂×D₄×C₁₃	—	2	1	no	—
362	C₂×D₄×C₁₃	—	2	1	no	—
363	C₂×D₄×C₁₃	—	2	2	no	—
364	C₂×D₄×C₁₃	—	2	2	no	—
365	C₂×D₄×C₁₃	—	2	2	no	—
366	C₂×D₄×C₁₃	—	2	2	no	—
367	C₂×D₄×C₁₃	—	4	2	no	—
368	C₂×D₄×C₁₃	—	4	2	no	—
369	C₂×D₄×C₁₃	—	8	2	no	—
370	C₂×D₄×C₁₃	—	8	2	no	—
371	C₂×D₄×C₁₃	—	8	2	no	—
372	C₂×D₄×C₁₃	—	8	2	no	—
373	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
375	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
376	C₂²×C₄×C₁₃	—	2	1	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	2	no	—
384	C₂²×C₄×C₁₃	—	2	2	no	—
385	C₂²×C₄×C₁₃	—	2	2	no	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	—	4	2	no	—
388	C₂²×C₄×C₁₃	—	8	2	no	—
389	C₂²×C₄×C₁₃	—	8	2	no	—
390	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₁₃×SD₁₆	—	4	2	no	—
401	C₁₃×SD₁₆	—	4	2	no	—
402	C₁₃×SD₁₆	—	4	2	no	—
403	C₁₃×SD₁₆	—	4	2	no	—
404	C₁₃×SD₁₆	—	4	2	no	—
405	C₁₃×SD₁₆	—	4	2	no	—
406	C₁₃×D₈	—	4	2	no	—
407	C₁₃×D₈	—	4	2	no	—
408	C₁₃×M₁₆	—	4	2	no	—
409	C₂×C₈×C₁₃	—	4	2	no	—
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	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
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	2	no	—
420	C₁₃×C₄⋊C₄	—	2	2	no	—
421	C₁₃×C₄⋊C₄	—	2	2	no	—
422	C₁₃×C₄⋊C₄	—	2	2	no	—
423	C₁₃×C₄⋊C₄	—	2	1	no	—
424	C₁₃×C₄⋊C₄	—	2	1	no	—
425	C₁₃×C₄⋊C₄	—	2	1	no	—
426	C₁₃×C₄⋊C₄	—	2	1	no	—
427	C₁₃×C₄⋊C₄	—	2	1	no	—
428	C₁₃×C₄⋊C₄	—	2	1	no	—
429	C₁₃×C₄⋊C₄	—	2	1	no	—
430	C₁₃×C₄⋊C₄	—	2	1	no	—
431	C₁₃×C₄⋊C₄	—	2	1	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	1	no	—
434	C₁₃×C₄⋊C₄	—	2	1	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	—	2	1	no	—
439	C₁₃×C₄⋊C₄	—	2	1	no	—
440	C₁₃×C₄⋊C₄	—	2	1	no	—
441	C₁₃×C₄⋊C₄	—	2	1	no	—
442	C₁₃×C₄⋊C₄	—	2	1	no	—
443	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
444	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
445	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
446	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
448	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
449	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
451	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
452	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
453	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
454	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
455	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
456	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	—	2	2	no	—
467	C₁₃×C₂²⋊C₄	—	2	2	no	—
468	C₁₃×C₂²⋊C₄	—	2	2	no	—
469	C₁₃×C₂²⋊C₄	—	2	2	no	—
470	C₁₃×C₂²⋊C₄	—	2	2	no	—
471	C₁₃×C₂²⋊C₄	—	2	2	no	—
472	C₁₃×C₂²⋊C₄	—	2	1	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	1	no	—
475	C₁₃×C₂²⋊C₄	—	2	1	no	—
476	C₁₃×C₂²⋊C₄	—	2	1	no	—
477	C₁₃×C₂²⋊C₄	—	2	1	no	—
478	C₁₃×C₂²⋊C₄	—	2	1	no	—
479	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
484	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
485	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
486	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
487	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
488	C₄²×C₁₃	—	2	1	no	—
489	C₄²×C₁₃	—	2	1	no	—
490	C₄²×C₁₃	—	2	1	no	—
491	C₄²×C₁₃	—	2	1	no	—
492	C₄²×C₁₃	—	2	1	no	—
493	C₄²×C₁₃	—	2	1	no	—
494	C₄²×C₁₃	—	2	1	no	—
495	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
497	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
498	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
499	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
503	#3495	C₂×C₁₃	1	1	yes	characteristic, complemented
504	C₂×#540	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#3260	C₂×C₁₃	1	2	yes	complemented
506	#3257	C₂×C₁₃	1	2	yes	complemented
507	#3241	C₂×C₁₃	1	2	yes	complemented
508	#3236	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3232	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#3221	C₂×C₁₃	1	2	yes	complemented
511	#3217	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3208	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3194	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3193	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3188	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3187	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3179	C₂×C₁₃	1	2	yes	complemented
518	#3174	C₂×C₁₃	1	2	yes	complemented
519	#3126	C₂×C₁₃	1	2	yes	complemented
520	#3119	C₂×C₁₃	1	2	yes	complemented
521	#3114	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#3110	C₂×C₁₃	1	1	yes	characteristic, complemented
523	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
524	#3101	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#2924	C₂×C₁₃	1	1	yes	characteristic, complemented
526	C₂³×C₁₃	—	2	2	no	—
527	C₂³×C₁₃	—	2	1	no	—
528	C₂³×C₁₃	—	2	2	no	—
529	C₂³×C₁₃	—	2	2	no	—
530	C₂³×C₁₃	—	4	1	no	—
531	C₂³×C₁₃	—	4	1	no	—
532	C₂³×C₁₃	—	4	2	no	—
533	C₂³×C₁₃	—	4	2	no	—
534	C₂³×C₁₃	—	4	2	no	—
535	C₂³×C₁₃	—	4	2	no	—
536	C₂³×C₁₃	—	4	2	no	—
537	C₂³×C₁₃	—	4	2	no	—
538	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
540	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
541	Q₈×C₁₃	—	2	2	no	—
542	Q₈×C₁₃	—	2	2	no	—
543	Q₈×C₁₃	—	2	2	no	—
544	Q₈×C₁₃	—	4	2	no	—
545	Q₈×C₁₃	—	8	1	no	—
546	Q₈×C₁₃	—	8	1	no	—
547	D₄×C₁₃	—	2	2	no	—
548	D₄×C₁₃	—	2	2	no	—
549	D₄×C₁₃	—	2	2	no	—
550	D₄×C₁₃	—	2	2	no	—
551	D₄×C₁₃	—	2	2	no	—
552	D₄×C₁₃	—	4	2	no	—
553	D₄×C₁₃	—	4	2	no	—
554	D₄×C₁₃	—	4	2	no	—
555	D₄×C₁₃	—	4	2	no	—
556	D₄×C₁₃	—	8	2	no	—
557	D₄×C₁₃	—	8	2	no	—
558	D₄×C₁₃	—	8	2	no	—
559	D₄×C₁₃	—	8	2	no	—
560	D₄×C₁₃	—	8	1	no	—
561	D₄×C₁₃	—	8	2	no	—
562	D₄×C₁₃	—	8	2	no	—
563	D₄×C₁₃	—	8	2	no	—
564	D₄×C₁₃	—	8	2	no	—
565	C₂×C₄×C₁₃	—	2	2	no	—
566	C₂×C₄×C₁₃	—	2	2	no	—
567	C₂×C₄×C₁₃	—	2	2	no	—
568	C₂×C₄×C₁₃	—	2	2	no	—
569	C₂×C₄×C₁₃	—	2	2	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	1	no	—
577	C₂×C₄×C₁₃	—	2	2	no	—
578	C₂×C₄×C₁₃	—	2	2	no	—
579	C₂×C₄×C₁₃	—	4	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	1	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	2	no	—
588	C₂×C₄×C₁₃	—	8	1	no	—
589	C₂×C₄×C₁₃	—	8	1	no	—
590	C₂×C₄×C₁₃	—	8	2	no	—
591	C₂×C₄×C₁₃	—	8	2	no	—
592	C₂×C₄×C₁₃	—	8	2	no	—
593	C₂×C₄×C₁₃	—	8	2	no	—
594	C₂×C₄×C₁₃	—	8	1	no	—
595	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
607	C₈×C₁₃	—	2	2	no	—
608	C₈×C₁₃	—	2	2	no	—
609	C₈×C₁₃	—	2	2	no	—
610	C₈×C₁₃	—	2	2	no	—
611	#556	—	2	1	no	—
612	#554	—	2	1	no	—
613	#552	—	2	1	no	—
614	#552	—	2	1	no	—
615	#552	—	2	1	no	—
616	#552	—	2	1	no	—
617	#551	—	2	1	no	—
618	#551	—	2	1	no	—
619	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
620	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
622	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
623	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
624	#540	—	2	1	no	—
625	#540	—	2	1	no	—
626	#540	—	2	1	no	—
627	#540	—	2	1	no	—
628	#540	C₂²×C₁₃	1	2	yes	—
629	#540	C₂²×C₁₃	1	2	yes	—
630	#540	C₂²×C₁₃	1	2	yes	—
631	#540	C₂²×C₁₃	1	2	yes	—
632	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#533	C₂²×C₁₃	1	1	yes	characteristic
634	#533	C₂²×C₁₃	1	1	yes	characteristic
635	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
636	#529	C₂²×C₁₃	1	1	yes	characteristic
637	#529	C₂²×C₁₃	1	1	yes	characteristic
638	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
639	#525	C₂²×C₁₃	1	1	yes	characteristic
640	C₂×#123	—	2	1	no	—
641	C₂×#123	—	2	1	no	—
642	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
643	C₂×#121	—	2	1	no	—
644	C₂×#121	—	2	1	no	—
645	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
646	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
647	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
649	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
650	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
651	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
652	#501	C₂²×C₁₃	1	2	yes	complemented
653	#499	C₂²×C₁₃	1	2	yes	complemented
654	#496	C₂²×C₁₃	1	2	yes	complemented
655	#492	C₂²×C₁₃	1	2	yes	complemented
656	#491	C₂²×C₁₃	1	2	yes	complemented
657	#490	C₂²×C₁₃	1	2	yes	complemented
658	#488	C₂²×C₁₃	1	2	yes	complemented
659	#486	C₂²×C₁₃	1	2	yes	complemented
660	#484	C₂²×C₁₃	1	1	yes	characteristic
661	#484	C₂²×C₁₃	1	1	yes	characteristic
662	#484	C₂²×C₁₃	1	1	yes	characteristic
663	#483	C₂²×C₁₃	1	1	yes	characteristic
664	#483	C₂²×C₁₃	1	1	yes	characteristic
665	#483	C₂²×C₁₃	1	1	yes	characteristic
666	#482	C₂²×C₁₃	1	2	yes	complemented
667	#482	C₂²×C₁₃	1	2	yes	complemented
668	#481	C₂²×C₁₃	1	1	yes	characteristic
669	#481	C₂²×C₁₃	1	2	yes	complemented
670	#480	C₂²×C₁₃	1	1	yes	characteristic
671	#480	C₂²×C₁₃	1	2	yes	complemented
672	#479	C₂²×C₁₃	1	2	yes	complemented
673	#479	C₂²×C₁₃	1	2	yes	complemented
674	#479	C₂²×C₁₃	1	2	yes	complemented
675	#478	C₂²×C₁₃	1	2	yes	complemented
676	#478	C₂²×C₁₃	1	2	yes	complemented
677	#478	C₂²×C₁₃	1	2	yes	complemented
678	#476	C₂²×C₁₃	1	2	yes	complemented
679	#474	C₂²×C₁₃	1	2	yes	complemented
680	#469	C₂²×C₁₃	1	2	yes	complemented
681	#468	C₂²×C₁₃	1	2	yes	complemented
682	#468	C₂²×C₁₃	1	2	yes	complemented
683	#468	C₂²×C₁₃	1	2	yes	complemented
684	#466	C₂²×C₁₃	1	2	yes	complemented
685	#465	C₂²×C₁₃	1	2	yes	complemented
686	#465	C₂²×C₁₃	1	2	yes	complemented
687	#465	C₂²×C₁₃	1	2	yes	complemented
688	#463	C₂²×C₁₃	1	2	yes	complemented
689	#463	C₂²×C₁₃	1	2	yes	complemented
690	#461	C₂²×C₁₃	1	2	yes	complemented
691	#461	C₂²×C₁₃	1	2	yes	complemented
692	#460	C₂²×C₁₃	1	2	yes	complemented
693	#460	C₂²×C₁₃	1	2	yes	complemented
694	#460	C₂²×C₁₃	1	2	yes	complemented
695	#459	C₂²×C₁₃	1	2	yes	complemented
696	#450	C₂²×C₁₃	1	1	yes	characteristic
697	#450	C₂²×C₁₃	1	1	yes	characteristic
698	#450	C₂²×C₁₃	1	1	yes	characteristic
699	#450	C₂²×C₁₃	1	1	yes	characteristic
700	#450	C₂²×C₁₃	1	1	yes	characteristic
701	#450	C₂²×C₁₃	1	1	yes	characteristic
702	#449	C₂²×C₁₃	1	2	yes	complemented
703	#449	C₂²×C₁₃	1	2	yes	complemented
704	#448	C₂²×C₁₃	1	2	yes	complemented
705	#448	C₂²×C₁₃	1	2	yes	complemented
706	#447	C₂²×C₁₃	1	1	yes	characteristic
707	#447	C₂²×C₁₃	1	1	yes	characteristic
708	#442	C₂²×C₁₃	1	2	yes	complemented
709	#440	C₂²×C₁₃	1	2	yes	complemented
710	#440	C₂²×C₁₃	1	2	yes	complemented
711	#440	C₂²×C₁₃	1	2	yes	complemented
712	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
713	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
714	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
715	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
716	#433	C₂²×C₁₃	1	2	yes	complemented
717	#433	C₂²×C₁₃	1	2	yes	complemented
718	#432	C₂²×C₁₃	1	1	yes	characteristic
719	#432	C₂²×C₁₃	1	1	yes	characteristic
720	#431	C₂²×C₁₃	1	1	yes	characteristic
721	#431	C₂²×C₁₃	1	1	yes	characteristic
722	#424	C₂²×C₁₃	1	2	yes	complemented
723	#407	C₂²×C₁₃	1	1	yes	characteristic
724	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
725	#405	C₂²×C₁₃	1	2	yes	complemented
726	C₂²×C₁₃	—	2	1	no	—
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	1	no	—
734	C₂²×C₁₃	—	4	2	no	—
735	C₂²×C₁₃	—	4	1	no	—
736	C₂²×C₁₃	—	4	2	no	—
737	C₂²×C₁₃	—	4	1	no	—
738	C₂²×C₁₃	—	4	2	no	—
739	C₂²×C₁₃	—	4	2	no	—
740	C₂²×C₁₃	—	4	2	no	—
741	C₂²×C₁₃	—	4	1	no	—
742	C₂²×C₁₃	—	4	2	no	—
743	C₂²×C₁₃	—	8	2	no	—
744	C₂²×C₁₃	—	8	4	no	—
745	C₂²×C₁₃	—	8	4	no	—
746	C₂²×C₁₃	#577	1	2	yes	—
747	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
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	—	2	1	no	—
758	C₄×C₁₃	—	2	1	no	—
759	C₄×C₁₃	—	4	2	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	1	no	—
766	C₄×C₁₃	—	4	2	no	—
767	C₄×C₁₃	—	4	1	no	—
768	C₄×C₁₃	#585	1	2	yes	—
769	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
770	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
771	C₂²×D₄	—	2	1	no	—
772	C₂²×D₄	—	2	1	no	—
773	C₂²×D₄	—	2	1	no	—
774	C₂²×D₄	—	2	1	no	—
775	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
776	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
777	C₂³×C₄	—	2	1	no	—
778	C₂³×C₄	—	2	1	no	—
779	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
780	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
781	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
782	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
783	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
784	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
785	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
786	C₂×D₈	C₂³×C₁₃	1	2	yes	—
787	C₂×D₈	C₂³×C₁₃	1	2	yes	—
788	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
789	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
790	C₄⋊Q₈	—	2	1	no	—
791	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
792	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
793	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
794	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
795	#127	—	2	1	no	—
796	#127	—	2	1	no	—
797	#127	C₂³×C₁₃	1	2	yes	—
798	#127	C₂³×C₁₃	1	2	yes	—
799	#126	—	2	1	no	—
800	#126	—	2	1	no	—
801	#126	—	2	1	no	—
802	#126	—	2	1	no	—
803	#126	—	2	1	no	—
804	#126	—	2	1	no	—
805	#126	—	2	1	no	—
806	#126	—	2	1	no	—
807	#125	—	2	1	no	—
808	#125	—	2	1	no	—
809	#125	—	2	1	no	—
810	#125	—	2	1	no	—
811	#125	—	2	1	no	—
812	#125	—	2	1	no	—
813	#125	—	2	1	no	—
814	#125	—	2	1	no	—
815	#125	—	2	1	no	—
816	#125	C₂³×C₁₃	1	2	yes	—
817	#125	C₂³×C₁₃	1	2	yes	—
818	#125	C₂³×C₁₃	1	1	yes	characteristic
819	#125	C₂³×C₁₃	1	1	yes	characteristic
820	#124	—	2	1	no	—
821	#124	—	2	1	no	—
822	#124	C₂³×C₁₃	1	1	yes	characteristic
823	#124	C₂³×C₁₃	1	1	yes	characteristic
824	#123	—	2	1	no	—
825	#123	—	2	1	no	—
826	#123	—	2	1	no	—
827	#123	—	2	2	no	—
828	#123	—	2	2	no	—
829	#123	—	2	2	no	—
830	#123	—	2	2	no	—
831	#123	—	2	2	no	—
832	#123	—	2	2	no	—
833	#123	—	2	2	no	—
834	#123	—	2	2	no	—
835	#123	—	2	1	no	—
836	#123	—	2	1	no	—
837	#123	—	2	1	no	—
838	#123	—	2	1	no	—
839	C₂²⋊Q₈	—	2	1	no	—
840	C₂²⋊Q₈	—	2	1	no	—
841	C₂²⋊Q₈	—	2	1	no	—
842	C₂²⋊Q₈	—	2	1	no	—
843	C₂²⋊Q₈	—	2	1	no	—
844	C₂²⋊Q₈	—	2	1	no	—
845	C₂²⋊Q₈	—	2	1	no	—
846	C₂²⋊Q₈	—	2	1	no	—
847	C₂²⋊Q₈	—	2	1	no	—
848	C₂²⋊Q₈	—	2	1	no	—
849	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
850	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
851	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
853	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
854	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
855	#121	—	2	1	no	—
856	#121	—	2	1	no	—
857	#121	—	2	1	no	—
858	#121	—	2	1	no	—
859	#121	—	2	2	no	—
860	#121	—	2	2	no	—
861	#121	—	2	2	no	—
862	#121	—	2	2	no	—
863	#121	—	2	2	no	—
864	#121	—	2	2	no	—
865	#121	—	2	2	no	—
866	#121	—	2	2	no	—
867	#121	C₂³×C₁₃	1	2	yes	—
868	#121	C₂³×C₁₃	1	2	yes	—
869	#121	C₂³×C₁₃	1	2	yes	—
870	#121	C₂³×C₁₃	1	2	yes	—
871	#121	C₂³×C₁₃	1	1	yes	characteristic
872	#121	C₂³×C₁₃	1	1	yes	characteristic
873	#120	—	2	1	no	—
874	C₄×Q₈	—	2	1	no	—
875	C₄×Q₈	—	2	1	no	—
876	C₄×Q₈	—	2	1	no	—
877	C₄×Q₈	—	2	1	no	—
878	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
879	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
880	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
881	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
882	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
883	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
884	C₄×D₄	—	2	1	no	—
885	C₄×D₄	—	2	1	no	—
886	C₄×D₄	—	2	1	no	—
887	C₄×D₄	—	2	1	no	—
888	C₄×D₄	—	2	1	no	—
889	C₄×D₄	—	2	1	no	—
890	C₄×D₄	—	2	1	no	—
891	C₄×D₄	—	2	1	no	—
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	—	2	1	no	—
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	2	yes	—
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	1	no	—
904	#117	—	2	1	no	—
905	#117	—	2	1	no	—
906	#117	—	2	1	no	—
907	#117	D₄×C₁₃	1	1	yes	characteristic
908	#117	D₄×C₁₃	1	1	yes	characteristic
909	#117	D₄×C₁₃	1	1	yes	characteristic
910	#117	D₄×C₁₃	1	1	yes	characteristic
911	#117	C₂³×C₁₃	1	1	yes	characteristic
912	#117	C₂³×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	1	yes	characteristic
916	C₂×C₄⋊C₄	—	2	1	no	—
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	D₄×C₁₃	1	1	yes	characteristic
921	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	—	2	1	no	—
926	C₂×C₂²⋊C₄	—	2	1	no	—
927	C₂×C₂²⋊C₄	—	2	1	no	—
928	C₂×C₂²⋊C₄	—	2	1	no	—
929	C₂×C₂²⋊C₄	—	2	1	no	—
930	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
932	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
933	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
934	#107	C₂³×C₁₃	1	2	yes	—
935	#107	C₂³×C₁₃	1	2	yes	—
936	#107	C₂³×C₁₃	1	2	yes	—
937	#107	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	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
943	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
944	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
945	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
946	#103	C₂³×C₁₃	1	2	yes	—
947	#103	C₂³×C₁₃	1	2	yes	—
948	#103	C₂³×C₁₃	1	2	yes	—
949	#103	C₂³×C₁₃	1	2	yes	—
950	#103	C₂³×C₁₃	1	2	yes	—
951	#103	C₂³×C₁₃	1	2	yes	—
952	#102	C₂³×C₁₃	1	2	yes	—
953	#102	C₂³×C₁₃	1	2	yes	—
954	#102	C₂³×C₁₃	1	2	yes	—
955	#102	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	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
963	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
964	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
965	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
966	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
967	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
968	#97	C₂³×C₁₃	1	2	yes	—
969	#97	C₂³×C₁₃	1	2	yes	—
970	C₄×C₈	C₂³×C₁₃	1	2	yes	—
971	C₄×C₈	C₂³×C₁₃	1	2	yes	—
972	C₂×C₁₃	—	2	2	no	—
973	C₂×C₁₃	—	4	1	no	—
974	C₂×C₁₃	—	4	1	no	—
975	C₂×C₁₃	—	8	1	no	—
976	C₂×C₁₃	—	8	2	no	—
977	C₂×C₁₃	—	8	2	no	—
978	C₂×C₁₃	#3449	1	1	yes	characteristic
979	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
980	C₂×C₁₃	#3585	1	1	yes	characteristic
981	C₂⁴	—	2	1	no	—
982	C₂⁴	—	2	1	no	—
983	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
984	#41	—	4	2	no	—
985	C₂×Q₈	—	2	1	no	—
986	C₂×Q₈	—	2	1	no	—
987	C₂×Q₈	—	2	1	no	—
988	C₂×Q₈	—	4	2	no	—
989	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
990	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
991	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
992	C₂×D₄	—	2	1	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	1	no	—
995	C₂×D₄	—	2	2	no	—
996	C₂×D₄	—	2	2	no	—
997	C₂×D₄	—	2	2	no	—
998	C₂×D₄	—	2	2	no	—
999	C₂×D₄	—	2	1	no	—
1000	C₂×D₄	—	2	1	no	—
1001	C₂×D₄	—	2	2	no	—
1002	C₂×D₄	—	2	2	no	—
1003	C₂×D₄	—	2	2	no	—
1004	C₂×D₄	—	2	2	no	—
1005	C₂×D₄	—	4	2	no	—
1006	C₂×D₄	—	4	2	no	—
1007	C₂×D₄	—	8	2	no	—
1008	C₂×D₄	—	8	2	no	—
1009	C₂×D₄	—	8	2	no	—
1010	C₂×D₄	—	8	2	no	—
1011	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1012	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1013	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1014	C₂²×C₄	—	2	1	no	—
1015	C₂²×C₄	—	2	1	no	—
1016	C₂²×C₄	—	2	1	no	—
1017	C₂²×C₄	—	2	1	no	—
1018	C₂²×C₄	—	2	1	no	—
1019	C₂²×C₄	—	2	1	no	—
1020	C₂²×C₄	—	2	1	no	—
1021	C₂²×C₄	—	2	2	no	—
1022	C₂²×C₄	—	2	2	no	—
1023	C₂²×C₄	—	2	2	no	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	4	2	no	—
1026	C₂²×C₄	—	8	2	no	—
1027	C₂²×C₄	—	8	2	no	—
1028	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1029	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1030	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁴×C₁₃	1	1	yes	characteristic
1036	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1037	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1038	SD₁₆	—	4	2	no	—
1039	SD₁₆	—	4	2	no	—
1040	SD₁₆	—	4	2	no	—
1041	SD₁₆	—	4	2	no	—
1042	SD₁₆	—	4	2	no	—
1043	SD₁₆	—	4	2	no	—
1044	D₈	—	4	2	no	—
1045	D₈	—	4	2	no	—
1046	M₁₆	—	4	2	no	—
1047	C₂×C₈	—	4	2	no	—
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	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
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	2	no	—
1058	C₄⋊C₄	—	2	2	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	2	2	no	—
1061	C₄⋊C₄	—	2	1	no	—
1062	C₄⋊C₄	—	2	1	no	—
1063	C₄⋊C₄	—	2	1	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	1	no	—
1072	C₄⋊C₄	—	2	1	no	—
1073	C₄⋊C₄	—	2	1	no	—
1074	C₄⋊C₄	—	2	1	no	—
1075	C₄⋊C₄	—	2	1	no	—
1076	C₄⋊C₄	—	2	1	no	—
1077	C₄⋊C₄	—	2	1	no	—
1078	C₄⋊C₄	—	2	1	no	—
1079	C₄⋊C₄	—	2	1	no	—
1080	C₄⋊C₄	—	2	1	no	—
1081	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1082	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1083	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1084	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1085	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1086	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1087	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1088	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1089	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1090	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1091	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1092	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1093	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1094	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
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	2	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	2	no	—
1105	C₂²⋊C₄	—	2	2	no	—
1106	C₂²⋊C₄	—	2	2	no	—
1107	C₂²⋊C₄	—	2	2	no	—
1108	C₂²⋊C₄	—	2	2	no	—
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	2	1	no	—
1111	C₂²⋊C₄	—	2	1	no	—
1112	C₂²⋊C₄	—	2	1	no	—
1113	C₂²⋊C₄	—	2	1	no	—
1114	C₂²⋊C₄	—	2	1	no	—
1115	C₂²⋊C₄	—	2	1	no	—
1116	C₂²⋊C₄	—	2	1	no	—
1117	C₂²⋊C₄	—	2	1	no	—
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	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1122	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1123	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1124	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1125	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1126	C₄²	—	2	1	no	—
1127	C₄²	—	2	1	no	—
1128	C₄²	—	2	1	no	—
1129	C₄²	—	2	1	no	—
1130	C₄²	—	2	1	no	—
1131	C₄²	—	2	1	no	—
1132	C₄²	—	2	1	no	—
1133	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1134	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1135	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1136	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1137	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1138	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1139	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1140	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1141	C₁₃	#60979	1	1	yes	characteristic, direct product factor, Sylow
1142	C₂³	—	2	2	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	2	no	—
1145	C₂³	—	2	2	no	—
1146	C₂³	—	4	1	no	—
1147	C₂³	—	4	1	no	—
1148	C₂³	—	4	2	no	—
1149	C₂³	—	4	2	no	—
1150	C₂³	—	4	2	no	—
1151	C₂³	—	4	2	no	—
1152	C₂³	—	4	2	no	—
1153	C₂³	—	4	2	no	—
1154	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1155	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1156	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1157	Q₈	—	2	2	no	—
1158	Q₈	—	2	2	no	—
1159	Q₈	—	2	2	no	—
1160	Q₈	—	4	2	no	—
1161	Q₈	—	8	1	no	—
1162	Q₈	—	8	1	no	—
1163	D₄	—	2	2	no	—
1164	D₄	—	2	2	no	—
1165	D₄	—	2	2	no	—
1166	D₄	—	2	2	no	—
1167	D₄	—	2	2	no	—
1168	D₄	—	4	2	no	—
1169	D₄	—	4	2	no	—
1170	D₄	—	4	2	no	—
1171	D₄	—	4	2	no	—
1172	D₄	—	8	2	no	—
1173	D₄	—	8	2	no	—
1174	D₄	—	8	2	no	—
1175	D₄	—	8	2	no	—
1176	D₄	—	8	2	no	—
1177	D₄	—	8	2	no	—
1178	D₄	—	8	2	no	—
1179	D₄	—	8	2	no	—
1180	D₄	—	8	1	no	—
1181	C₂×C₄	—	2	2	no	—
1182	C₂×C₄	—	2	2	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	2	2	no	—
1185	C₂×C₄	—	2	2	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	1	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	—	4	1	no	—
1196	C₂×C₄	—	4	1	no	—
1197	C₂×C₄	—	4	1	no	—
1198	C₂×C₄	—	4	1	no	—
1199	C₂×C₄	—	4	1	no	—
1200	C₂×C₄	—	4	2	no	—
1201	C₂×C₄	—	4	2	no	—
1202	C₂×C₄	—	4	2	no	—
1203	C₂×C₄	—	4	2	no	—
1204	C₂×C₄	—	8	2	no	—
1205	C₂×C₄	—	8	2	no	—
1206	C₂×C₄	—	8	2	no	—
1207	C₂×C₄	—	8	2	no	—
1208	C₂×C₄	—	8	1	no	—
1209	C₂×C₄	—	8	1	no	—
1210	C₂×C₄	—	8	1	no	—
1211	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁵×C₁₃	1	1	yes	characteristic
1223	C₈	—	2	2	no	—
1224	C₈	—	2	2	no	—
1225	C₈	—	2	2	no	—
1226	C₈	—	2	2	no	—
1227	C₂²	—	2	1	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	—	4	2	no	—
1236	C₂²	—	4	1	no	—
1237	C₂²	—	4	2	no	—
1238	C₂²	—	4	2	no	—
1239	C₂²	—	4	1	no	—
1240	C₂²	—	4	2	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	2	no	—
1243	C₂²	—	4	2	no	—
1244	C₂²	—	8	2	no	—
1245	C₂²	—	8	4	no	—
1246	C₂²	—	8	4	no	—
1247	C₂²	C₁₃×#577	1	2	yes	—
1248	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1259	C₄	—	2	1	no	—
1260	C₄	—	4	2	no	—
1261	C₄	—	4	1	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	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	C₁₃×#585	1	2	yes	—
1270	C₂	—	2	2	no	—
1271	C₂	—	4	1	no	—
1272	C₂	—	4	1	no	—
1273	C₂	—	8	2	no	—
1274	C₂	—	8	2	no	—
1275	C₂	—	8	1	no	—
1276	C₂	C₁₃×#3449	1	1	yes	characteristic
1277	C₂	C₂×C₁₃×#577	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 ◁ C₂×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3495	C₂	semidirect
2. C₂×C₁₃×#540	C₂	semidirect
3. C₁₃×#3260	C₂	semidirect
4. C₁₃×#3257	C₂	semidirect
5. C₁₃×#3241	C₂	semidirect
6. C₁₃×#3236	C₂	semidirect
7. C₁₃×#3232	C₂	semidirect
8. C₁₃×#3221	C₂	semidirect
9. C₁₃×#3217	C₂	semidirect
10. C₁₃×#3208	C₂	semidirect
11. C₁₃×#3194	C₂	semidirect
12. C₁₃×#3193	C₂	semidirect
13. C₁₃×#3188	C₂	semidirect
14. C₁₃×#3187	C₂	semidirect
15. C₁₃×#3179	C₂	semidirect
16. C₁₃×#3174	C₂	semidirect
17. C₁₃×#3126	C₂	semidirect
18. C₁₃×#3119	C₂	semidirect
19. C₁₃×#3114	C₂	semidirect
20. C₁₃×#3110	C₂	semidirect
21. C₁₃×#3105	C₂	semidirect
22. C₁₃×#3101	C₂	semidirect
23. C₁₃×#2924	C₂	semidirect
32. C₁₃×#544	C₂²	semidirect
33. C₁₃×#542	C₂²	semidirect
34. C₁₃×#542	C₂²	semidirect
35. C₁₃×#541	C₂²	semidirect
36. C₁₃×#541	C₂²	semidirect
45. C₁₃×#536	C₂²	semidirect
60. C₁₃×#520	C₂²	semidirect
61. C₁₃×#519	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#499	C₂²	semidirect
67. C₁₃×#496	C₂²	semidirect
68. C₁₃×#492	C₂²	semidirect
69. C₁₃×#491	C₂²	semidirect
70. C₁₃×#490	C₂²	semidirect
71. C₁₃×#488	C₂²	semidirect
72. C₁₃×#486	C₂²	semidirect
79. C₁₃×#482	C₂²	semidirect
80. C₁₃×#482	C₂²	semidirect
82. C₁₃×#481	C₂²	semidirect
84. C₁₃×#480	C₂²	semidirect
85. C₁₃×#479	C₂²	semidirect
86. C₁₃×#479	C₂²	semidirect
87. C₁₃×#479	C₂²	semidirect
88. C₁₃×#478	C₂²	semidirect
89. C₁₃×#478	C₂²	semidirect
90. C₁₃×#478	C₂²	semidirect
91. C₁₃×#476	C₂²	semidirect
92. C₁₃×#474	C₂²	semidirect
93. C₁₃×#469	C₂²	semidirect
94. C₁₃×#468	C₂²	semidirect
95. C₁₃×#468	C₂²	semidirect
96. C₁₃×#468	C₂²	semidirect
97. C₁₃×#466	C₂²	semidirect
98. C₁₃×#465	C₂²	semidirect
99. C₁₃×#465	C₂²	semidirect
100. C₁₃×#465	C₂²	semidirect
101. C₁₃×#463	C₂²	semidirect
102. C₁₃×#463	C₂²	semidirect
103. C₁₃×#461	C₂²	semidirect
104. C₁₃×#461	C₂²	semidirect
105. C₁₃×#460	C₂²	semidirect
106. C₁₃×#460	C₂²	semidirect
107. C₁₃×#460	C₂²	semidirect
108. C₁₃×#459	C₂²	semidirect
115. C₁₃×#449	C₂²	semidirect
116. C₁₃×#449	C₂²	semidirect
117. C₁₃×#448	C₂²	semidirect
118. C₁₃×#448	C₂²	semidirect
121. C₁₃×#442	C₂²	semidirect
122. C₁₃×#440	C₂²	semidirect
123. C₁₃×#440	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
125. C₄×C₁₃×SD₁₆	C₂²	semidirect
126. C₄×C₁₃×SD₁₆	C₂²	semidirect
127. C₄×C₁₃×SD₁₆	C₂²	semidirect
128. C₄×C₁₃×D₈	C₂²	semidirect
129. C₁₃×#433	C₂²	semidirect
130. C₁₃×#433	C₂²	semidirect
135. C₁₃×#424	C₂²	semidirect
138. C₁₃×#405	C₂²	semidirect
342. #60979	C₁₃	direct (N × H)
503. #3495	C₂×C₁₃	semidirect
504. C₂×#540	C₂×C₁₃	semidirect
505. #3260	C₂×C₁₃	semidirect
506. #3257	C₂×C₁₃	semidirect
507. #3241	C₂×C₁₃	semidirect
508. #3236	C₂×C₁₃	semidirect
509. #3232	C₂×C₁₃	semidirect
510. #3221	C₂×C₁₃	semidirect
511. #3217	C₂×C₁₃	semidirect
512. #3208	C₂×C₁₃	semidirect
513. #3194	C₂×C₁₃	semidirect
514. #3193	C₂×C₁₃	semidirect
515. #3188	C₂×C₁₃	semidirect
516. #3187	C₂×C₁₃	semidirect
517. #3179	C₂×C₁₃	semidirect
518. #3174	C₂×C₁₃	semidirect
519. #3126	C₂×C₁₃	semidirect
520. #3119	C₂×C₁₃	semidirect
521. #3114	C₂×C₁₃	semidirect
522. #3110	C₂×C₁₃	semidirect
523. #3105	C₂×C₁₃	semidirect
524. #3101	C₂×C₁₃	semidirect
525. #2924	C₂×C₁₃	semidirect
619. #544	C₂²×C₁₃	semidirect
620. #542	C₂²×C₁₃	semidirect
621. #542	C₂²×C₁₃	semidirect
622. #541	C₂²×C₁₃	semidirect
623. #541	C₂²×C₁₃	semidirect
632. #536	C₂²×C₁₃	semidirect
647. #520	C₂²×C₁₃	semidirect
648. #519	C₂²×C₁₃	semidirect
652. #501	C₂²×C₁₃	semidirect
653. #499	C₂²×C₁₃	semidirect
654. #496	C₂²×C₁₃	semidirect
655. #492	C₂²×C₁₃	semidirect
656. #491	C₂²×C₁₃	semidirect
657. #490	C₂²×C₁₃	semidirect
658. #488	C₂²×C₁₃	semidirect
659. #486	C₂²×C₁₃	semidirect
666. #482	C₂²×C₁₃	semidirect
667. #482	C₂²×C₁₃	semidirect
669. #481	C₂²×C₁₃	semidirect
671. #480	C₂²×C₁₃	semidirect
672. #479	C₂²×C₁₃	semidirect
673. #479	C₂²×C₁₃	semidirect
674. #479	C₂²×C₁₃	semidirect
675. #478	C₂²×C₁₃	semidirect
676. #478	C₂²×C₁₃	semidirect
677. #478	C₂²×C₁₃	semidirect
678. #476	C₂²×C₁₃	semidirect
679. #474	C₂²×C₁₃	semidirect
680. #469	C₂²×C₁₃	semidirect
681. #468	C₂²×C₁₃	semidirect
682. #468	C₂²×C₁₃	semidirect
683. #468	C₂²×C₁₃	semidirect
684. #466	C₂²×C₁₃	semidirect
685. #465	C₂²×C₁₃	semidirect
686. #465	C₂²×C₁₃	semidirect
687. #465	C₂²×C₁₃	semidirect
688. #463	C₂²×C₁₃	semidirect
689. #463	C₂²×C₁₃	semidirect
690. #461	C₂²×C₁₃	semidirect
691. #461	C₂²×C₁₃	semidirect
692. #460	C₂²×C₁₃	semidirect
693. #460	C₂²×C₁₃	semidirect
694. #460	C₂²×C₁₃	semidirect
695. #459	C₂²×C₁₃	semidirect
702. #449	C₂²×C₁₃	semidirect
703. #449	C₂²×C₁₃	semidirect
704. #448	C₂²×C₁₃	semidirect
705. #448	C₂²×C₁₃	semidirect
708. #442	C₂²×C₁₃	semidirect
709. #440	C₂²×C₁₃	semidirect
710. #440	C₂²×C₁₃	semidirect
711. #440	C₂²×C₁₃	semidirect
712. C₄×SD₁₆	C₂²×C₁₃	semidirect
713. C₄×SD₁₆	C₂²×C₁₃	semidirect
714. C₄×SD₁₆	C₂²×C₁₃	semidirect
715. C₄×D₈	C₂²×C₁₃	semidirect
716. #433	C₂²×C₁₃	semidirect
717. #433	C₂²×C₁₃	semidirect
722. #424	C₂²×C₁₃	semidirect
725. #405	C₂²×C₁₃	semidirect
1141. C₁₃	#60979	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3495	2
C₂×C₁₃×#540	2
C₁₃×#3260	2
C₁₃×#3257	2
C₁₃×#3241	2
C₁₃×#3236	2
C₁₃×#3232	2
C₁₃×#3221	2
C₁₃×#3217	2
C₁₃×#3208	2
C₁₃×#3194	2
C₁₃×#3193	2
C₁₃×#3188	2
C₁₃×#3187	2
C₁₃×#3179	2
C₁₃×#3174	2
C₁₃×#3126	2
C₁₃×#3119	2
C₁₃×#3114	2
C₁₃×#3110	2
C₁₃×#3105	2
C₁₃×#3101	2
C₁₃×#2924	2
#60979	13

Subgroups — C13×#60979 #15747318

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60979 #15747318