Subgroups — C₁₃×#60991 #15747330

Order 3328.

1726 conjugacy classes of subgroups.

The subgroup lattice has 1284 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×#3460	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3254	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3248	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3246	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3242	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3235	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3222	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3206	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3200	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3178	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×#3121	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3110	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3101	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#557	—	2	1	no	—
25	C₁₃×#557	—	2	1	no	—
26	C₁₃×#556	—	2	1	no	—
27	C₁₃×#556	—	2	1	no	—
28	C₁₃×#552	—	2	1	no	—
29	C₁₃×#552	—	2	1	no	—
30	C₁₃×#552	—	2	1	no	—
31	C₁₃×#552	—	2	1	no	—
32	C₁₃×#544	C₂²	1	1	yes	characteristic
33	C₁₃×#542	—	2	1	no	—
34	C₁₃×#542	C₂²	1	1	yes	characteristic
35	C₁₃×#542	C₂²	1	1	yes	characteristic
36	C₁₃×#541	C₂²	1	2	yes	—
37	C₁₃×#541	C₂²	1	2	yes	complemented
38	C₁₃×#540	—	2	1	no	—
39	C₁₃×#540	C₂²	1	1	yes	characteristic
40	C₁₃×#540	C₂²	1	1	yes	characteristic
41	C₁₃×#538	—	2	1	no	—
42	C₁₃×#538	—	2	1	no	—
43	C₁₃×#537	C₂²	1	1	yes	characteristic
44	C₁₃×#536	C₂²	1	2	yes	—
45	C₁₃×#535	C₂²	1	1	yes	characteristic
46	C₁₃×#535	C₂²	1	1	yes	characteristic
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×#533	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#532	—	2	1	no	—
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#529	—	2	1	no	—
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#529	C₂²	1	1	yes	characteristic
59	C₁₃×#525	—	2	1	no	—
60	C₁₃×#525	—	2	1	no	—
61	C₁₃×#519	C₂²	1	2	yes	complemented
62	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
63	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#499	C₂²	1	2	yes	complemented
67	C₁₃×#497	C₂²	1	2	yes	—
68	C₁₃×#492	C₂²	1	2	yes	—
69	C₁₃×#491	C₂²	1	2	yes	complemented
70	C₁₃×#490	C₂²	1	2	yes	—
71	C₁₃×#488	C₂²	1	2	yes	—
72	C₁₃×#487	C₂²	1	2	yes	complemented
73	C₁₃×#485	C₂²	1	2	yes	—
74	C₁₃×#485	C₂²	1	2	yes	—
75	C₁₃×#485	C₂²	1	2	yes	complemented
76	C₁₃×#484	C₂²	1	2	yes	—
77	C₁₃×#483	C₂²	1	2	yes	—
78	C₁₃×#482	C₂²	1	2	yes	—
79	C₁₃×#482	C₂²	1	2	yes	—
80	C₁₃×#482	C₂²	1	2	yes	complemented
81	C₁₃×#479	C₂²	1	2	yes	complemented
82	C₁₃×#479	C₂²	1	2	yes	complemented
83	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#477	C₂²	1	2	yes	complemented
85	C₁₃×#476	C₂²	1	1	yes	characteristic
86	C₁₃×#476	C₂²	1	1	yes	characteristic
87	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#475	C₂²	1	2	yes	complemented
90	C₁₃×#474	C₂²	1	1	yes	characteristic
91	C₁₃×#474	C₂²	1	1	yes	characteristic
92	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#470	C₂²	1	2	yes	complemented
94	C₁₃×#468	C₂²	1	2	yes	—
95	C₁₃×#468	C₂²	1	2	yes	—
96	C₁₃×#468	C₂²	1	2	yes	complemented
97	C₁₃×#467	C₂²	1	2	yes	complemented
98	C₁₃×#465	C₂²	1	2	yes	—
99	C₁₃×#465	C₂²	1	2	yes	—
100	C₁₃×#465	C₂²	1	2	yes	complemented
101	C₁₃×#464	C₂²	1	2	yes	—
102	C₁₃×#464	C₂²	1	2	yes	—
103	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#461	C₂²	1	1	yes	characteristic
106	C₁₃×#461	C₂²	1	1	yes	characteristic
107	C₁₃×#461	C₂²	1	1	yes	characteristic
108	C₁₃×#461	C₂²	1	1	yes	characteristic
109	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#460	C₂²	1	2	yes	—
112	C₁₃×#460	C₂²	1	2	yes	—
113	C₁₃×#452	C₂²	1	2	yes	—
114	C₁₃×#452	C₂²	1	2	yes	—
115	C₁₃×#451	C₂²	1	2	yes	complemented
116	C₁₃×#450	C₂²	1	2	yes	—
117	C₁₃×#450	C₂²	1	2	yes	—
118	C₁₃×#448	C₂²	1	2	yes	—
119	C₁₃×#448	C₂²	1	2	yes	—
120	C₁₃×#448	C₂²	1	2	yes	complemented
121	C₁₃×#441	C₂²	1	2	yes	complemented
122	C₁₃×#440	C₂²	1	2	yes	—
123	C₁₃×#440	C₂²	1	2	yes	—
124	C₁₃×#440	C₂²	1	2	yes	complemented
125	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
126	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
127	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
128	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
129	C₁₃×#433	C₂²	1	2	yes	—
130	C₁₃×#433	C₂²	1	2	yes	complemented
131	C₁₃×#432	C₂²	1	1	yes	characteristic
132	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#431	C₂²	1	1	yes	characteristic
134	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#408	C₂²	1	2	yes	—
138	C₁₃×#405	C₂²	1	2	yes	complemented
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
143	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
144	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₁₃	—	2	1	no	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
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×M₁₆	C₂³	1	2	yes	—
155	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
156	C₁₃×C₄⋊Q₈	—	2	2	no	—
157	C₁₃×C₄⋊Q₈	—	2	1	no	—
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×#127	—	2	1	no	—
168	C₁₃×#127	C₂³	1	1	yes	characteristic
169	C₁₃×#127	C₂³	1	1	yes	characteristic
170	C₁₃×#126	—	2	1	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#126	—	2	1	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	—	2	2	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	—	2	1	no	—
185	C₁₃×#125	—	2	1	no	—
186	C₁₃×#125	—	2	1	no	—
187	C₁₃×#125	C₂³	1	1	yes	characteristic
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	2	no	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	—	2	1	no	—
194	C₁₃×#124	—	2	1	no	—
195	C₁₃×#124	—	2	1	no	—
196	C₁₃×#124	C₂³	1	1	yes	characteristic
197	C₁₃×#124	C₂³	1	1	yes	characteristic
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	1	no	—
203	C₁₃×#123	—	2	1	no	—
204	C₁₃×#123	—	2	1	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×#123	—	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	—	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	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
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	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	1	no	—
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#121	C₂³	1	1	yes	characteristic
240	C₁₃×#121	C₂³	1	1	yes	characteristic
241	C₁₃×#121	C₂³	1	1	yes	characteristic
242	C₁₃×#120	—	2	1	no	—
243	C₁₃×#120	—	2	1	no	—
244	C₁₃×#120	—	2	1	no	—
245	C₁₃×#120	—	2	1	no	—
246	C₄×Q₈×C₁₃	—	2	2	no	—
247	C₄×Q₈×C₁₃	—	2	2	no	—
248	C₄×Q₈×C₁₃	—	2	1	no	—
249	C₄×Q₈×C₁₃	—	2	1	no	—
250	C₄×Q₈×C₁₃	—	2	1	no	—
251	C₄×Q₈×C₁₃	—	2	1	no	—
252	C₄×Q₈×C₁₃	—	2	1	no	—
253	C₄×Q₈×C₁₃	—	2	1	no	—
254	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
255	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
256	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
257	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
258	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
260	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
261	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	—	2	1	no	—
268	C₄×D₄×C₁₃	—	2	1	no	—
269	C₄×D₄×C₁₃	—	2	1	no	—
270	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
271	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
272	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
273	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
274	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
275	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
276	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
277	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
278	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
282	C₁₃×#117	—	2	1	no	—
283	C₁₃×#117	—	2	1	no	—
284	C₁₃×#117	—	2	1	no	—
285	C₁₃×#117	—	2	1	no	—
286	C₁₃×#117	—	2	2	no	—
287	C₁₃×#117	—	2	2	no	—
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	1	no	—
290	C₁₃×#117	—	2	1	no	—
291	C₁₃×#117	C₂³	1	2	yes	—
292	C₁₃×#117	C₂³	1	1	yes	characteristic
293	C₁₃×#117	C₂³	1	1	yes	characteristic
294	C₁₃×#117	C₂³	1	1	yes	characteristic
295	C₁₃×#117	C₂³	1	1	yes	characteristic
296	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
297	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
298	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
300	C₂×C₄²×C₁₃	—	2	1	no	—
301	C₂×C₄²×C₁₃	C₂³	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	1	yes	characteristic
313	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	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×#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×#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×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
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	#60991	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₁₃×#41	—	4	1	no	—
345	C₁₃×#41	—	4	1	no	—
346	C₁₃×#41	—	4	1	no	—
347	C₁₃×#41	—	4	1	no	—
348	C₁₃×#41	—	8	2	no	—
349	C₁₃×#41	—	8	2	no	—
350	C₂×Q₈×C₁₃	—	2	1	no	—
351	C₂×Q₈×C₁₃	—	2	1	no	—
352	C₂×Q₈×C₁₃	—	2	2	no	—
353	C₂×Q₈×C₁₃	—	2	1	no	—
354	C₂×Q₈×C₁₃	—	2	1	no	—
355	C₂×Q₈×C₁₃	—	4	2	no	—
356	C₂×Q₈×C₁₃	—	4	2	no	—
357	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
360	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
361	C₂×D₄×C₁₃	—	2	1	no	—
362	C₂×D₄×C₁₃	—	2	1	no	—
363	C₂×D₄×C₁₃	—	2	1	no	—
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	2	1	no	—
366	C₂×D₄×C₁₃	—	2	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	—	2	1	no	—
371	C₂×D₄×C₁₃	—	2	1	no	—
372	C₂×D₄×C₁₃	—	2	1	no	—
373	C₂×D₄×C₁₃	—	4	1	no	—
374	C₂×D₄×C₁₃	—	4	1	no	—
375	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
376	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
377	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
378	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	—	2	2	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	1	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	—	8	2	no	—
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×Q₁₆	—	4	2	no	—
401	C₁₃×Q₁₆	—	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×SD₁₆	—	4	2	no	—
407	C₁₃×SD₁₆	—	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	2	no	—
419	C₁₃×C₄⋊C₄	—	2	2	no	—
420	C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₁₃×C₄⋊C₄	—	2	1	no	—
422	C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₁₃×C₄⋊C₄	—	2	1	no	—
424	C₁₃×C₄⋊C₄	—	2	1	no	—
425	C₁₃×C₄⋊C₄	—	2	2	no	—
426	C₁₃×C₄⋊C₄	—	2	2	no	—
427	C₁₃×C₄⋊C₄	—	2	2	no	—
428	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
438	C₁₃×C₄⋊C₄	—	2	2	no	—
439	C₁₃×C₄⋊C₄	—	2	2	no	—
440	C₁₃×C₄⋊C₄	—	2	2	no	—
441	C₁₃×C₄⋊C₄	—	2	2	no	—
442	C₁₃×C₄⋊C₄	—	2	2	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	C₂⁴	1	2	yes	—
450	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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×C₂²⋊C₄	—	2	2	no	—
456	C₁₃×C₂²⋊C₄	—	2	2	no	—
457	C₁₃×C₂²⋊C₄	—	2	2	no	—
458	C₁₃×C₂²⋊C₄	—	2	2	no	—
459	C₁₃×C₂²⋊C₄	—	2	2	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	—	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	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	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	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
484	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
485	C₄²×C₁₃	—	2	1	no	—
486	C₄²×C₁₃	—	2	1	no	—
487	C₄²×C₁₃	—	2	1	no	—
488	C₄²×C₁₃	—	2	2	no	—
489	C₄²×C₁₃	—	2	2	no	—
490	C₄²×C₁₃	—	2	2	no	—
491	C₄²×C₁₃	—	2	2	no	—
492	C₄²×C₁₃	—	2	2	no	—
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	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	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
504	#3460	C₂×C₁₃	1	1	yes	characteristic
505	#3254	C₂×C₁₃	1	1	yes	characteristic, complemented
506	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
507	#3248	C₂×C₁₃	1	1	yes	characteristic, complemented
508	#3246	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3242	C₂×C₁₃	1	2	yes	complemented
510	#3235	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3222	C₂×C₁₃	1	2	yes	complemented
513	#3218	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3206	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3201	C₂×C₁₃	1	2	yes	complemented
516	#3200	C₂×C₁₃	1	2	yes	complemented
517	#3178	C₂×C₁₃	1	2	yes	complemented
518	#3174	C₂×C₁₃	1	2	yes	complemented
519	#3126	C₂×C₁₃	1	2	yes	complemented
520	#3121	C₂×C₁₃	1	2	yes	complemented
521	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#3110	C₂×C₁₃	1	1	yes	characteristic, complemented
523	#3107	C₂×C₁₃	1	1	yes	characteristic, complemented
524	#3101	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#2925	C₂×C₁₃	1	1	yes	characteristic, complemented
526	C₂³×C₁₃	—	2	1	no	—
527	C₂³×C₁₃	—	2	1	no	—
528	C₂³×C₁₃	—	2	1	no	—
529	C₂³×C₁₃	—	4	2	no	—
530	C₂³×C₁₃	—	8	1	no	—
531	C₂³×C₁₃	—	8	1	no	—
532	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
533	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
535	Q₈×C₁₃	—	2	2	no	—
536	Q₈×C₁₃	—	2	2	no	—
537	Q₈×C₁₃	—	2	2	no	—
538	Q₈×C₁₃	—	2	2	no	—
539	Q₈×C₁₃	—	2	1	no	—
540	Q₈×C₁₃	—	2	1	no	—
541	Q₈×C₁₃	—	4	1	no	—
542	Q₈×C₁₃	—	4	2	no	—
543	Q₈×C₁₃	—	4	4	no	—
544	Q₈×C₁₃	—	4	2	no	—
545	Q₈×C₁₃	—	8	1	no	—
546	Q₈×C₁₃	—	8	1	no	—
547	D₄×C₁₃	—	2	1	no	—
548	D₄×C₁₃	—	2	1	no	—
549	D₄×C₁₃	—	2	1	no	—
550	D₄×C₁₃	—	2	1	no	—
551	D₄×C₁₃	—	2	1	no	—
552	D₄×C₁₃	—	2	1	no	—
553	D₄×C₁₃	—	4	1	no	—
554	D₄×C₁₃	—	4	1	no	—
555	D₄×C₁₃	—	4	1	no	—
556	D₄×C₁₃	—	4	2	no	—
557	D₄×C₁₃	—	4	2	no	—
558	D₄×C₁₃	—	8	1	no	—
559	D₄×C₁₃	—	8	1	no	—
560	D₄×C₁₃	—	8	1	no	—
561	D₄×C₁₃	—	8	1	no	—
562	D₄×C₁₃	—	8	1	no	—
563	D₄×C₁₃	—	8	1	no	—
564	D₄×C₁₃	—	8	1	no	—
565	D₄×C₁₃	—	8	1	no	—
566	D₄×C₁₃	—	8	1	no	—
567	D₄×C₁₃	—	8	1	no	—
568	C₂×C₄×C₁₃	—	2	2	no	—
569	C₂×C₄×C₁₃	—	2	2	no	—
570	C₂×C₄×C₁₃	—	2	2	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	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	2	no	—
583	C₂×C₄×C₁₃	—	2	2	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	4	1	no	—
587	C₂×C₄×C₁₃	—	4	1	no	—
588	C₂×C₄×C₁₃	—	4	1	no	—
589	C₂×C₄×C₁₃	—	4	2	no	—
590	C₂×C₄×C₁₃	—	4	4	no	—
591	C₂×C₄×C₁₃	—	4	2	no	—
592	C₂×C₄×C₁₃	—	4	2	no	—
593	C₂×C₄×C₁₃	—	4	2	no	—
594	C₂×C₄×C₁₃	—	8	1	no	—
595	C₂×C₄×C₁₃	—	8	1	no	—
596	C₂×C₄×C₁₃	—	8	1	no	—
597	C₂×C₄×C₁₃	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
608	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
609	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
610	C₈×C₁₃	—	2	2	no	—
611	C₈×C₁₃	—	2	2	no	—
612	C₈×C₁₃	—	2	2	no	—
613	C₈×C₁₃	—	2	2	no	—
614	#557	—	2	1	no	—
615	#557	—	2	1	no	—
616	#556	—	2	1	no	—
617	#556	—	2	1	no	—
618	#552	—	2	1	no	—
619	#552	—	2	1	no	—
620	#552	—	2	1	no	—
621	#552	—	2	1	no	—
622	#544	C₂²×C₁₃	1	1	yes	characteristic
623	#542	—	2	1	no	—
624	#542	C₂²×C₁₃	1	1	yes	characteristic
625	#542	C₂²×C₁₃	1	1	yes	characteristic
626	#541	C₂²×C₁₃	1	2	yes	—
627	#541	C₂²×C₁₃	1	2	yes	complemented
628	#540	—	2	1	no	—
629	#540	C₂²×C₁₃	1	1	yes	characteristic
630	#540	C₂²×C₁₃	1	1	yes	characteristic
631	#538	—	2	1	no	—
632	#538	—	2	1	no	—
633	#537	C₂²×C₁₃	1	1	yes	characteristic
634	#536	C₂²×C₁₃	1	2	yes	—
635	#535	C₂²×C₁₃	1	1	yes	characteristic
636	#535	C₂²×C₁₃	1	1	yes	characteristic
637	#533	C₂²×C₁₃	1	1	yes	characteristic
638	#533	C₂²×C₁₃	1	1	yes	characteristic
639	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#532	—	2	1	no	—
643	#532	C₂²×C₁₃	1	1	yes	characteristic
644	#532	C₂²×C₁₃	1	1	yes	characteristic
645	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#529	—	2	1	no	—
647	#529	C₂²×C₁₃	1	1	yes	characteristic
648	#529	C₂²×C₁₃	1	1	yes	characteristic
649	#525	—	2	1	no	—
650	#525	—	2	1	no	—
651	#519	C₂²×C₁₃	1	2	yes	complemented
652	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
653	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
654	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
655	#501	C₂²×C₁₃	1	2	yes	complemented
656	#499	C₂²×C₁₃	1	2	yes	complemented
657	#497	C₂²×C₁₃	1	2	yes	—
658	#492	C₂²×C₁₃	1	2	yes	—
659	#491	C₂²×C₁₃	1	2	yes	complemented
660	#490	C₂²×C₁₃	1	2	yes	—
661	#488	C₂²×C₁₃	1	2	yes	—
662	#487	C₂²×C₁₃	1	2	yes	complemented
663	#485	C₂²×C₁₃	1	2	yes	—
664	#485	C₂²×C₁₃	1	2	yes	—
665	#485	C₂²×C₁₃	1	2	yes	complemented
666	#484	C₂²×C₁₃	1	2	yes	—
667	#483	C₂²×C₁₃	1	2	yes	—
668	#482	C₂²×C₁₃	1	2	yes	—
669	#482	C₂²×C₁₃	1	2	yes	—
670	#482	C₂²×C₁₃	1	2	yes	complemented
671	#479	C₂²×C₁₃	1	2	yes	complemented
672	#479	C₂²×C₁₃	1	2	yes	complemented
673	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
674	#477	C₂²×C₁₃	1	2	yes	complemented
675	#476	C₂²×C₁₃	1	1	yes	characteristic
676	#476	C₂²×C₁₃	1	1	yes	characteristic
677	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
679	#475	C₂²×C₁₃	1	2	yes	complemented
680	#474	C₂²×C₁₃	1	1	yes	characteristic
681	#474	C₂²×C₁₃	1	1	yes	characteristic
682	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	#470	C₂²×C₁₃	1	2	yes	complemented
684	#468	C₂²×C₁₃	1	2	yes	—
685	#468	C₂²×C₁₃	1	2	yes	—
686	#468	C₂²×C₁₃	1	2	yes	complemented
687	#467	C₂²×C₁₃	1	2	yes	complemented
688	#465	C₂²×C₁₃	1	2	yes	—
689	#465	C₂²×C₁₃	1	2	yes	—
690	#465	C₂²×C₁₃	1	2	yes	complemented
691	#464	C₂²×C₁₃	1	2	yes	—
692	#464	C₂²×C₁₃	1	2	yes	—
693	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
694	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
695	#461	C₂²×C₁₃	1	1	yes	characteristic
696	#461	C₂²×C₁₃	1	1	yes	characteristic
697	#461	C₂²×C₁₃	1	1	yes	characteristic
698	#461	C₂²×C₁₃	1	1	yes	characteristic
699	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
700	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	#460	C₂²×C₁₃	1	2	yes	—
702	#460	C₂²×C₁₃	1	2	yes	—
703	#452	C₂²×C₁₃	1	2	yes	—
704	#452	C₂²×C₁₃	1	2	yes	—
705	#451	C₂²×C₁₃	1	2	yes	complemented
706	#450	C₂²×C₁₃	1	2	yes	—
707	#450	C₂²×C₁₃	1	2	yes	—
708	#448	C₂²×C₁₃	1	2	yes	—
709	#448	C₂²×C₁₃	1	2	yes	—
710	#448	C₂²×C₁₃	1	2	yes	complemented
711	#441	C₂²×C₁₃	1	2	yes	complemented
712	#440	C₂²×C₁₃	1	2	yes	—
713	#440	C₂²×C₁₃	1	2	yes	—
714	#440	C₂²×C₁₃	1	2	yes	complemented
715	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
716	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
717	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
718	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
719	#433	C₂²×C₁₃	1	2	yes	—
720	#433	C₂²×C₁₃	1	2	yes	complemented
721	#432	C₂²×C₁₃	1	1	yes	characteristic
722	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	#431	C₂²×C₁₃	1	1	yes	characteristic
724	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
726	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
727	#408	C₂²×C₁₃	1	2	yes	—
728	#405	C₂²×C₁₃	1	2	yes	complemented
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	—	2	1	no	—
735	C₂²×C₁₃	—	2	1	no	—
736	C₂²×C₁₃	—	2	1	no	—
737	C₂²×C₁₃	—	2	1	no	—
738	C₂²×C₁₃	—	4	1	no	—
739	C₂²×C₁₃	—	4	1	no	—
740	C₂²×C₁₃	—	4	1	no	—
741	C₂²×C₁₃	—	4	1	no	—
742	C₂²×C₁₃	—	4	1	no	—
743	C₂²×C₁₃	—	4	1	no	—
744	C₂²×C₁₃	—	4	1	no	—
745	C₂²×C₁₃	—	4	1	no	—
746	C₂²×C₁₃	—	4	1	no	—
747	C₂²×C₁₃	—	8	4	no	—
748	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
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	1	no	—
760	C₄×C₁₃	—	4	2	no	—
761	C₄×C₁₃	—	4	1	no	—
762	C₄×C₁₃	—	4	2	no	—
763	C₄×C₁₃	—	4	2	no	—
764	C₄×C₁₃	—	4	1	no	—
765	C₄×C₁₃	—	4	1	no	—
766	C₄×C₁₃	—	4	1	no	—
767	C₄×C₁₃	—	4	2	no	—
768	C₄×C₁₃	#577	1	2	yes	—
769	C₄×C₁₃	#585	1	1	yes	characteristic
770	C₄×C₁₃	#585	1	1	yes	characteristic
771	C₂×#41	—	2	1	no	—
772	C₂×#41	—	2	1	no	—
773	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
774	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
775	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
776	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
777	C₂³×C₄	—	2	1	no	—
778	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
779	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
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×M₁₆	C₂³×C₁₃	1	2	yes	—
787	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
788	C₄⋊Q₈	—	2	2	no	—
789	C₄⋊Q₈	—	2	1	no	—
790	C₄⋊Q₈	—	2	1	no	—
791	C₄⋊Q₈	—	2	1	no	—
792	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
793	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
794	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
795	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
796	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
797	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
798	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
799	#127	—	2	1	no	—
800	#127	C₂³×C₁₃	1	1	yes	characteristic
801	#127	C₂³×C₁₃	1	1	yes	characteristic
802	#126	—	2	1	no	—
803	#126	—	2	1	no	—
804	#126	—	2	2	no	—
805	#126	—	2	2	no	—
806	#126	—	2	2	no	—
807	#126	—	2	2	no	—
808	#126	—	2	1	no	—
809	#126	—	2	1	no	—
810	#125	—	2	1	no	—
811	#125	—	2	2	no	—
812	#125	—	2	2	no	—
813	#125	—	2	2	no	—
814	#125	—	2	2	no	—
815	#125	—	2	1	no	—
816	#125	—	2	1	no	—
817	#125	—	2	1	no	—
818	#125	—	2	1	no	—
819	#125	C₂³×C₁₃	1	1	yes	characteristic
820	#125	C₂³×C₁₃	1	1	yes	characteristic
821	#125	C₂³×C₁₃	1	2	yes	—
822	#124	—	2	1	no	—
823	#124	—	2	2	no	—
824	#124	—	2	1	no	—
825	#124	—	2	1	no	—
826	#124	—	2	1	no	—
827	#124	—	2	1	no	—
828	#124	C₂³×C₁₃	1	1	yes	characteristic
829	#124	C₂³×C₁₃	1	1	yes	characteristic
830	#123	—	2	2	no	—
831	#123	—	2	2	no	—
832	#123	—	2	1	no	—
833	#123	—	2	1	no	—
834	#123	—	2	1	no	—
835	#123	—	2	1	no	—
836	#123	—	2	1	no	—
837	#123	—	2	1	no	—
838	#123	—	2	1	no	—
839	#123	—	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	—	2	1	no	—
850	C₂²⋊Q₈	—	2	1	no	—
851	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
853	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
854	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
855	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
856	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
857	#121	—	2	1	no	—
858	#121	—	2	1	no	—
859	#121	—	2	1	no	—
860	#121	—	2	1	no	—
861	#121	—	2	1	no	—
862	#121	—	2	1	no	—
863	#121	—	2	1	no	—
864	#121	—	2	1	no	—
865	#121	—	2	1	no	—
866	#121	—	2	1	no	—
867	#121	—	2	1	no	—
868	#121	C₂³×C₁₃	1	1	yes	characteristic
869	#121	C₂³×C₁₃	1	1	yes	characteristic
870	#121	C₂³×C₁₃	1	1	yes	characteristic
871	#121	C₂³×C₁₃	1	1	yes	characteristic
872	#121	C₂³×C₁₃	1	1	yes	characteristic
873	#121	C₂³×C₁₃	1	1	yes	characteristic
874	#120	—	2	1	no	—
875	#120	—	2	1	no	—
876	#120	—	2	1	no	—
877	#120	—	2	1	no	—
878	C₄×Q₈	—	2	2	no	—
879	C₄×Q₈	—	2	2	no	—
880	C₄×Q₈	—	2	1	no	—
881	C₄×Q₈	—	2	1	no	—
882	C₄×Q₈	—	2	1	no	—
883	C₄×Q₈	—	2	1	no	—
884	C₄×Q₈	—	2	1	no	—
885	C₄×Q₈	—	2	1	no	—
886	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
887	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
888	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
889	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
890	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
891	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
892	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
893	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	—	2	1	no	—
896	C₄×D₄	—	2	1	no	—
897	C₄×D₄	—	2	1	no	—
898	C₄×D₄	—	2	1	no	—
899	C₄×D₄	—	2	1	no	—
900	C₄×D₄	—	2	1	no	—
901	C₄×D₄	—	2	1	no	—
902	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
903	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
904	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
905	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
906	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
907	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
908	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
909	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
910	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
911	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
912	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
913	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
914	#117	—	2	1	no	—
915	#117	—	2	1	no	—
916	#117	—	2	1	no	—
917	#117	—	2	1	no	—
918	#117	—	2	2	no	—
919	#117	—	2	2	no	—
920	#117	—	2	1	no	—
921	#117	—	2	1	no	—
922	#117	—	2	1	no	—
923	#117	C₂³×C₁₃	1	1	yes	characteristic
924	#117	C₂³×C₁₃	1	2	yes	—
925	#117	C₂³×C₁₃	1	1	yes	characteristic
926	#117	C₂³×C₁₃	1	1	yes	characteristic
927	#117	C₂³×C₁₃	1	1	yes	characteristic
928	C₂×C₄⋊C₄	—	2	1	no	—
929	C₂×C₄⋊C₄	—	2	1	no	—
930	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	—	2	1	no	—
932	C₂×C₄²	—	2	1	no	—
933	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
934	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
935	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
936	#107	C₂³×C₁₃	1	2	yes	—
937	#107	C₂³×C₁₃	1	2	yes	—
938	#107	C₂³×C₁₃	1	2	yes	—
939	#107	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	#106	C₂³×C₁₃	1	2	yes	—
944	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
945	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
946	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
947	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
948	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
949	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
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	#103	C₂³×C₁₃	1	2	yes	—
957	#103	C₂³×C₁₃	1	2	yes	—
958	#103	C₂³×C₁₃	1	2	yes	—
959	#103	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	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
970	#97	C₂³×C₁₃	1	2	yes	—
971	#97	C₂³×C₁₃	1	2	yes	—
972	C₄×C₈	C₂³×C₁₃	1	2	yes	—
973	C₄×C₈	C₂³×C₁₃	1	2	yes	—
974	C₂×C₁₃	—	4	1	no	—
975	C₂×C₁₃	—	4	1	no	—
976	C₂×C₁₃	—	4	1	no	—
977	C₂×C₁₃	—	8	1	no	—
978	C₂×C₁₃	—	8	1	no	—
979	C₂×C₁₃	—	8	1	no	—
980	C₂×C₁₃	#3449	1	1	yes	characteristic
981	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
982	C₂×C₁₃	#3586	1	1	yes	characteristic
983	C₂⁴	—	2	1	no	—
984	#41	—	4	1	no	—
985	#41	—	4	1	no	—
986	#41	—	4	1	no	—
987	#41	—	4	1	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	2	no	—
993	C₂×Q₈	—	2	1	no	—
994	C₂×Q₈	—	2	1	no	—
995	C₂×Q₈	—	4	2	no	—
996	C₂×Q₈	—	4	2	no	—
997	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
998	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1000	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1001	C₂×D₄	—	2	1	no	—
1002	C₂×D₄	—	2	1	no	—
1003	C₂×D₄	—	2	1	no	—
1004	C₂×D₄	—	2	1	no	—
1005	C₂×D₄	—	2	1	no	—
1006	C₂×D₄	—	2	1	no	—
1007	C₂×D₄	—	2	1	no	—
1008	C₂×D₄	—	2	1	no	—
1009	C₂×D₄	—	2	1	no	—
1010	C₂×D₄	—	2	1	no	—
1011	C₂×D₄	—	2	1	no	—
1012	C₂×D₄	—	2	1	no	—
1013	C₂×D₄	—	4	1	no	—
1014	C₂×D₄	—	4	1	no	—
1015	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1016	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1017	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1018	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1019	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1020	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1021	C₂²×C₄	—	2	2	no	—
1022	C₂²×C₄	—	2	1	no	—
1023	C₂²×C₄	—	2	1	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	1	no	—
1029	C₂²×C₄	—	2	1	no	—
1030	C₂²×C₄	—	8	2	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	Q₁₆	—	4	2	no	—
1041	Q₁₆	—	4	2	no	—
1042	SD₁₆	—	4	2	no	—
1043	SD₁₆	—	4	2	no	—
1044	SD₁₆	—	4	2	no	—
1045	SD₁₆	—	4	2	no	—
1046	SD₁₆	—	4	2	no	—
1047	SD₁₆	—	4	2	no	—
1048	M₁₆	—	4	2	no	—
1049	C₂×C₈	—	4	2	no	—
1050	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1051	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1052	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1053	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
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	2	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	2	1	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	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	2	2	no	—
1068	C₄⋊C₄	—	2	2	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	2	no	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	2	2	no	—
1080	C₄⋊C₄	—	2	2	no	—
1081	C₄⋊C₄	—	2	2	no	—
1082	C₄⋊C₄	—	2	2	no	—
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	2	yes	—
1090	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1091	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1092	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1093	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1094	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1095	C₂²⋊C₄	—	2	2	no	—
1096	C₂²⋊C₄	—	2	2	no	—
1097	C₂²⋊C₄	—	2	2	no	—
1098	C₂²⋊C₄	—	2	2	no	—
1099	C₂²⋊C₄	—	2	2	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	1	no	—
1106	C₂²⋊C₄	—	2	1	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	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	—	2	1	no	—
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	C₄²	—	2	1	no	—
1126	C₄²	—	2	1	no	—
1127	C₄²	—	2	1	no	—
1128	C₄²	—	2	2	no	—
1129	C₄²	—	2	2	no	—
1130	C₄²	—	2	2	no	—
1131	C₄²	—	2	2	no	—
1132	C₄²	—	2	2	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	C₂×D₄×C₁₃	1	1	yes	characteristic
1138	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1139	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1140	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1141	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1142	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1143	C₁₃	#60991	1	1	yes	characteristic, direct product factor, Sylow
1144	C₂³	—	2	1	no	—
1145	C₂³	—	2	1	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	4	2	no	—
1148	C₂³	—	8	1	no	—
1149	C₂³	—	8	1	no	—
1150	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1151	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1152	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1153	Q₈	—	2	2	no	—
1154	Q₈	—	2	2	no	—
1155	Q₈	—	2	2	no	—
1156	Q₈	—	2	2	no	—
1157	Q₈	—	2	1	no	—
1158	Q₈	—	2	1	no	—
1159	Q₈	—	4	1	no	—
1160	Q₈	—	4	4	no	—
1161	Q₈	—	4	2	no	—
1162	Q₈	—	4	2	no	—
1163	Q₈	—	8	1	no	—
1164	Q₈	—	8	1	no	—
1165	D₄	—	2	1	no	—
1166	D₄	—	2	1	no	—
1167	D₄	—	2	1	no	—
1168	D₄	—	2	1	no	—
1169	D₄	—	2	1	no	—
1170	D₄	—	2	1	no	—
1171	D₄	—	4	1	no	—
1172	D₄	—	4	1	no	—
1173	D₄	—	4	1	no	—
1174	D₄	—	4	2	no	—
1175	D₄	—	4	2	no	—
1176	D₄	—	8	1	no	—
1177	D₄	—	8	1	no	—
1178	D₄	—	8	1	no	—
1179	D₄	—	8	1	no	—
1180	D₄	—	8	1	no	—
1181	D₄	—	8	1	no	—
1182	D₄	—	8	1	no	—
1183	D₄	—	8	1	no	—
1184	D₄	—	8	1	no	—
1185	D₄	—	8	1	no	—
1186	C₂×C₄	—	2	2	no	—
1187	C₂×C₄	—	2	2	no	—
1188	C₂×C₄	—	2	2	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	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	4	1	no	—
1205	C₂×C₄	—	4	1	no	—
1206	C₂×C₄	—	4	1	no	—
1207	C₂×C₄	—	4	2	no	—
1208	C₂×C₄	—	4	4	no	—
1209	C₂×C₄	—	4	2	no	—
1210	C₂×C₄	—	4	2	no	—
1211	C₂×C₄	—	4	2	no	—
1212	C₂×C₄	—	8	1	no	—
1213	C₂×C₄	—	8	1	no	—
1214	C₂×C₄	—	8	1	no	—
1215	C₂×C₄	—	8	1	no	—
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	C₂²×D₄×C₁₃	1	1	yes	characteristic
1224	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1225	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1226	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1227	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1228	C₈	—	2	2	no	—
1229	C₈	—	2	2	no	—
1230	C₈	—	2	2	no	—
1231	C₈	—	2	2	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	1	no	—
1238	C₂²	—	2	1	no	—
1239	C₂²	—	2	1	no	—
1240	C₂²	—	2	1	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	4	1	no	—
1247	C₂²	—	4	1	no	—
1248	C₂²	—	4	1	no	—
1249	C₂²	—	4	1	no	—
1250	C₂²	—	8	4	no	—
1251	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1261	C₄	—	2	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	4	1	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	2	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	2	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	2	no	—
1270	C₄	—	4	2	no	—
1271	C₄	C₁₃×#577	1	2	yes	—
1272	C₄	C₁₃×#585	1	1	yes	characteristic
1273	C₄	C₁₃×#585	1	1	yes	characteristic
1274	C₂	—	4	1	no	—
1275	C₂	—	4	1	no	—
1276	C₂	—	4	1	no	—
1277	C₂	—	8	1	no	—
1278	C₂	—	8	1	no	—
1279	C₂	—	8	1	no	—
1280	C₂	C₁₃×#3449	1	1	yes	characteristic
1281	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1282	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×#3460	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×#3254	C₂	semidirect
4. C₁₃×#3252	C₂	semidirect
5. C₁₃×#3248	C₂	semidirect
6. C₁₃×#3246	C₂	semidirect
7. C₁₃×#3242	C₂	semidirect
8. C₁₃×#3235	C₂	semidirect
9. C₁₃×#3233	C₂	semidirect
10. C₁₃×#3222	C₂	semidirect
11. C₁₃×#3218	C₂	semidirect
12. C₁₃×#3206	C₂	semidirect
13. C₁₃×#3201	C₂	semidirect
14. C₁₃×#3200	C₂	semidirect
15. C₁₃×#3178	C₂	semidirect
16. C₁₃×#3174	C₂	semidirect
17. C₁₃×#3126	C₂	semidirect
18. C₁₃×#3121	C₂	semidirect
19. C₁₃×#3116	C₂	semidirect
20. C₁₃×#3110	C₂	semidirect
21. C₁₃×#3107	C₂	semidirect
22. C₁₃×#3101	C₂	semidirect
23. C₁₃×#2925	C₂	semidirect
37. C₁₃×#541	C₂²	semidirect
49. C₁₃×#533	C₂²	semidirect
50. C₁₃×#533	C₂²	semidirect
51. C₁₃×#533	C₂²	semidirect
55. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
61. C₁₃×#519	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#499	C₂²	semidirect
69. C₁₃×#491	C₂²	semidirect
72. C₁₃×#487	C₂²	semidirect
75. C₁₃×#485	C₂²	semidirect
80. C₁₃×#482	C₂²	semidirect
81. C₁₃×#479	C₂²	semidirect
82. C₁₃×#479	C₂²	semidirect
83. C₁₃×#477	C₂²	semidirect
84. C₁₃×#477	C₂²	semidirect
87. C₁₃×#476	C₂²	semidirect
88. C₁₃×#475	C₂²	semidirect
89. C₁₃×#475	C₂²	semidirect
92. C₁₃×#474	C₂²	semidirect
93. C₁₃×#470	C₂²	semidirect
96. C₁₃×#468	C₂²	semidirect
97. C₁₃×#467	C₂²	semidirect
100. C₁₃×#465	C₂²	semidirect
103. C₁₃×#462	C₂²	semidirect
104. C₁₃×#462	C₂²	semidirect
109. C₁₃×#461	C₂²	semidirect
110. C₁₃×#461	C₂²	semidirect
115. C₁₃×#451	C₂²	semidirect
120. C₁₃×#448	C₂²	semidirect
121. C₁₃×#441	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
125. C₄×C₁₃×Q₁₆	C₂²	semidirect
128. C₄×C₁₃×SD₁₆	C₂²	semidirect
130. C₁₃×#433	C₂²	semidirect
132. C₁₃×#432	C₂²	semidirect
134. C₁₃×#431	C₂²	semidirect
135. C₁₃×#423	C₂²	semidirect
136. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
138. C₁₃×#405	C₂²	semidirect
342. #60991	C₁₃	direct (N × H)
503. #3509	C₂×C₁₃	semidirect
505. #3254	C₂×C₁₃	semidirect
506. #3252	C₂×C₁₃	semidirect
507. #3248	C₂×C₁₃	semidirect
508. #3246	C₂×C₁₃	semidirect
509. #3242	C₂×C₁₃	semidirect
510. #3235	C₂×C₁₃	semidirect
511. #3233	C₂×C₁₃	semidirect
512. #3222	C₂×C₁₃	semidirect
513. #3218	C₂×C₁₃	semidirect
514. #3206	C₂×C₁₃	semidirect
515. #3201	C₂×C₁₃	semidirect
516. #3200	C₂×C₁₃	semidirect
517. #3178	C₂×C₁₃	semidirect
518. #3174	C₂×C₁₃	semidirect
519. #3126	C₂×C₁₃	semidirect
520. #3121	C₂×C₁₃	semidirect
521. #3116	C₂×C₁₃	semidirect
522. #3110	C₂×C₁₃	semidirect
523. #3107	C₂×C₁₃	semidirect
524. #3101	C₂×C₁₃	semidirect
525. #2925	C₂×C₁₃	semidirect
627. #541	C₂²×C₁₃	semidirect
639. #533	C₂²×C₁₃	semidirect
640. #533	C₂²×C₁₃	semidirect
641. #533	C₂²×C₁₃	semidirect
645. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
651. #519	C₂²×C₁₃	semidirect
655. #501	C₂²×C₁₃	semidirect
656. #499	C₂²×C₁₃	semidirect
659. #491	C₂²×C₁₃	semidirect
662. #487	C₂²×C₁₃	semidirect
665. #485	C₂²×C₁₃	semidirect
670. #482	C₂²×C₁₃	semidirect
671. #479	C₂²×C₁₃	semidirect
672. #479	C₂²×C₁₃	semidirect
673. #477	C₂²×C₁₃	semidirect
674. #477	C₂²×C₁₃	semidirect
677. #476	C₂²×C₁₃	semidirect
678. #475	C₂²×C₁₃	semidirect
679. #475	C₂²×C₁₃	semidirect
682. #474	C₂²×C₁₃	semidirect
683. #470	C₂²×C₁₃	semidirect
686. #468	C₂²×C₁₃	semidirect
687. #467	C₂²×C₁₃	semidirect
690. #465	C₂²×C₁₃	semidirect
693. #462	C₂²×C₁₃	semidirect
694. #462	C₂²×C₁₃	semidirect
699. #461	C₂²×C₁₃	semidirect
700. #461	C₂²×C₁₃	semidirect
705. #451	C₂²×C₁₃	semidirect
710. #448	C₂²×C₁₃	semidirect
711. #441	C₂²×C₁₃	semidirect
714. #440	C₂²×C₁₃	semidirect
715. C₄×Q₁₆	C₂²×C₁₃	semidirect
718. C₄×SD₁₆	C₂²×C₁₃	semidirect
720. #433	C₂²×C₁₃	semidirect
722. #432	C₂²×C₁₃	semidirect
724. #431	C₂²×C₁₃	semidirect
725. #423	C₂²×C₁₃	semidirect
726. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
728. #405	C₂²×C₁₃	semidirect
1143. C₁₃	#60991	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×#3460	2
C₁₃×#3254	2
C₁₃×#3252	2
C₁₃×#3248	2
C₁₃×#3246	2
C₁₃×#3242	2
C₁₃×#3235	2
C₁₃×#3233	2
C₁₃×#3222	2
C₁₃×#3218	2
C₁₃×#3206	2
C₁₃×#3201	2
C₁₃×#3200	2
C₁₃×#3178	2
C₁₃×#3174	2
C₁₃×#3126	2
C₁₃×#3121	2
C₁₃×#3116	2
C₁₃×#3110	2
C₁₃×#3107	2
C₁₃×#3101	2
C₁₃×#2925	2
#60991	13

Subgroups — C13×#60991 #15747330

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60991 #15747330