Subgroups — C₁₃×#60996 #15747335

Order 3328.

1686 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3256	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3250	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3248	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3244	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3243	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3231	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3225	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3225	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3202	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3201	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3200	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3198	C₂	1	1	yes	maximal, characteristic
19	C₁₃×#3178	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3178	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3175	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3173	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3127	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3123	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3121	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3117	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3108	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2925	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#559	—	2	1	no	—
33	C₁₃×#559	—	2	1	no	—
34	C₁₃×#556	—	2	1	no	—
35	C₁₃×#556	—	2	1	no	—
36	C₁₃×#551	—	2	1	no	—
37	C₁₃×#551	—	2	1	no	—
38	C₁₃×#551	—	2	1	no	—
39	C₁₃×#551	—	2	1	no	—
40	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#542	—	2	1	no	—
42	C₁₃×#542	C₂²	1	1	yes	characteristic
43	C₁₃×#542	C₂²	1	1	yes	characteristic
44	C₁₃×#542	C₂²	1	1	yes	characteristic
45	C₁₃×#542	C₂²	1	1	yes	characteristic
46	C₁₃×#542	C₂²	1	1	yes	characteristic
47	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#541	—	2	1	no	—
49	C₁₃×#541	C₂²	1	1	yes	characteristic
50	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#539	—	2	1	no	—
52	C₁₃×#539	—	2	1	no	—
53	C₁₃×#537	C₂²	1	1	yes	characteristic
54	C₁₃×#536	C₂²	1	1	yes	characteristic
55	C₁₃×#536	C₂²	1	1	yes	characteristic
56	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#535	C₂²	1	1	yes	characteristic
58	C₁₃×#533	—	2	1	no	—
59	C₁₃×#533	C₂²	1	1	yes	characteristic
60	C₁₃×#533	C₂²	1	1	yes	characteristic
61	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#529	—	2	1	no	—
63	C₁₃×#529	—	2	1	no	—
64	C₁₃×#529	—	2	1	no	—
65	C₁₃×#529	C₂²	1	1	yes	characteristic
66	C₁₃×#529	C₂²	1	1	yes	characteristic
67	C₁₃×#529	C₂²	1	1	yes	characteristic
68	C₁₃×#529	C₂²	1	1	yes	characteristic
69	C₁₃×#529	C₂²	1	1	yes	characteristic
70	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
72	C₁₃×#519	C₂²	1	1	yes	characteristic
73	C₁₃×#518	C₂²	1	1	yes	characteristic
74	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
75	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#497	C₂²	1	1	yes	characteristic
82	C₁₃×#497	C₂²	1	1	yes	characteristic
83	C₁₃×#495	C₂²	1	1	yes	characteristic
84	C₁₃×#495	C₂²	1	1	yes	characteristic
85	C₁₃×#489	C₂²	1	1	yes	characteristic
86	C₁₃×#489	C₂²	1	1	yes	characteristic
87	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#488	C₂²	1	1	yes	characteristic
90	C₁₃×#488	C₂²	1	1	yes	characteristic
91	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#485	C₂²	1	1	yes	characteristic
94	C₁₃×#485	C₂²	1	1	yes	characteristic
95	C₁₃×#485	C₂²	1	1	yes	characteristic
96	C₁₃×#485	C₂²	1	1	yes	characteristic
97	C₁₃×#485	C₂²	1	1	yes	characteristic
98	C₁₃×#485	C₂²	1	1	yes	characteristic
99	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#482	C₂²	1	1	yes	characteristic
104	C₁₃×#482	C₂²	1	1	yes	characteristic
105	C₁₃×#482	C₂²	1	1	yes	characteristic
106	C₁₃×#482	C₂²	1	1	yes	characteristic
107	C₁₃×#481	C₂²	1	1	yes	characteristic
108	C₁₃×#480	C₂²	1	1	yes	characteristic
109	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#478	C₂²	1	1	yes	characteristic
118	C₁₃×#478	C₂²	1	1	yes	characteristic
119	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#476	C₂²	1	1	yes	characteristic
123	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#474	C₂²	1	1	yes	characteristic
125	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#469	C₂²	1	1	yes	characteristic
129	C₁₃×#468	C₂²	1	1	yes	characteristic
130	C₁₃×#468	C₂²	1	1	yes	characteristic
131	C₁₃×#468	C₂²	1	1	yes	characteristic
132	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#466	C₂²	1	1	yes	characteristic
137	C₁₃×#465	C₂²	1	1	yes	characteristic
138	C₁₃×#465	C₂²	1	1	yes	characteristic
139	C₁₃×#465	C₂²	1	1	yes	characteristic
140	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#464	C₂²	1	1	yes	characteristic
142	C₁₃×#464	C₂²	1	1	yes	characteristic
143	C₁₃×#464	C₂²	1	1	yes	characteristic
144	C₁₃×#464	C₂²	1	1	yes	characteristic
145	C₁₃×#464	C₂²	1	1	yes	characteristic
146	C₁₃×#464	C₂²	1	1	yes	characteristic
147	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#463	C₂²	1	1	yes	characteristic
150	C₁₃×#463	C₂²	1	1	yes	characteristic
151	C₁₃×#463	C₂²	1	1	yes	characteristic
152	C₁₃×#463	C₂²	1	1	yes	characteristic
153	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#461	C₂²	1	1	yes	characteristic
156	C₁₃×#461	C₂²	1	1	yes	characteristic
157	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×#451	C₂²	1	1	yes	characteristic
160	C₁₃×#451	C₂²	1	1	yes	characteristic
161	C₁₃×#451	C₂²	1	1	yes	characteristic
162	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
163	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
164	C₁₃×#450	C₂²	1	1	yes	characteristic
165	C₁₃×#450	C₂²	1	1	yes	characteristic
166	C₁₃×#450	C₂²	1	1	yes	characteristic
167	C₁₃×#449	C₂²	1	1	yes	characteristic
168	C₁₃×#449	C₂²	1	1	yes	characteristic
169	C₁₃×#448	C₂²	1	1	yes	characteristic
170	C₁₃×#448	C₂²	1	1	yes	characteristic
171	C₁₃×#448	C₂²	1	1	yes	characteristic
172	C₁₃×#447	C₂²	1	1	yes	characteristic
173	C₁₃×#442	C₂²	1	1	yes	characteristic
174	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
175	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
176	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
177	C₁₃×#440	C₂²	1	1	yes	characteristic
178	C₁₃×#440	C₂²	1	1	yes	characteristic
179	C₁₃×#440	C₂²	1	1	yes	characteristic
180	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
185	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
186	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
187	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
189	C₁₃×#433	C₂²	1	1	yes	characteristic
190	C₁₃×#433	C₂²	1	1	yes	characteristic
191	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
192	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
193	C₁₃×#432	C₂²	1	1	yes	characteristic
194	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
195	C₁₃×#431	C₂²	1	1	yes	characteristic
196	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
197	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	C₁₃×#408	C₂²	1	1	yes	characteristic
200	C₁₃×#408	C₂²	1	1	yes	characteristic
201	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
202	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
226	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₁₃×C₄⋊Q₈	—	2	1	no	—
229	C₁₃×C₄⋊Q₈	—	2	1	no	—
230	C₁₃×C₄⋊Q₈	—	2	1	no	—
231	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
233	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×#127	—	2	1	no	—
238	C₁₃×#126	—	2	1	no	—
239	C₁₃×#126	—	2	1	no	—
240	C₁₃×#126	—	2	1	no	—
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#126	—	2	1	no	—
243	C₁₃×#126	—	2	1	no	—
244	C₁₃×#126	—	2	1	no	—
245	C₁₃×#126	—	2	1	no	—
246	C₁₃×#126	—	2	1	no	—
247	C₁₃×#126	—	2	1	no	—
248	C₁₃×#126	—	2	1	no	—
249	C₁₃×#126	—	2	1	no	—
250	C₁₃×#126	—	2	1	no	—
251	C₁₃×#126	—	2	1	no	—
252	C₁₃×#126	—	2	1	no	—
253	C₁₃×#126	—	2	1	no	—
254	C₁₃×#125	—	2	1	no	—
255	C₁₃×#125	—	2	1	no	—
256	C₁₃×#125	—	2	1	no	—
257	C₁₃×#125	—	2	1	no	—
258	C₁₃×#125	—	2	1	no	—
259	C₁₃×#125	—	2	1	no	—
260	C₁₃×#125	—	2	1	no	—
261	C₁₃×#125	C₂³	1	1	yes	characteristic
262	C₁₃×#125	C₂³	1	1	yes	characteristic
263	C₁₃×#125	C₂³	1	1	yes	characteristic
264	C₁₃×#125	C₂³	1	1	yes	characteristic
265	C₁₃×#124	—	2	1	no	—
266	C₁₃×#124	—	2	1	no	—
267	C₁₃×#124	—	2	1	no	—
268	C₁₃×#124	—	2	1	no	—
269	C₁₃×#124	—	2	1	no	—
270	C₁₃×#124	—	2	1	no	—
271	C₁₃×#124	—	2	1	no	—
272	C₁₃×#124	—	2	1	no	—
273	C₁₃×#124	—	2	1	no	—
274	C₁₃×#124	—	2	1	no	—
275	C₁₃×#124	—	2	1	no	—
276	C₁₃×#124	C₂³	1	1	yes	characteristic
277	C₁₃×#124	C₂³	1	1	yes	characteristic
278	C₁₃×#124	C₂³	1	1	yes	characteristic
279	C₁₃×#124	C₂³	1	1	yes	characteristic
280	C₁₃×#124	C₂³	1	1	yes	characteristic
281	C₁₃×#124	C₂³	1	1	yes	characteristic
282	C₁₃×#123	—	2	1	no	—
283	C₁₃×#123	—	2	1	no	—
284	C₁₃×#123	—	2	1	no	—
285	C₁₃×#123	—	2	1	no	—
286	C₁₃×#123	—	2	1	no	—
287	C₁₃×#123	—	2	1	no	—
288	C₁₃×#123	—	2	1	no	—
289	C₁₃×#123	—	2	1	no	—
290	C₁₃×#123	—	2	1	no	—
291	C₁₃×#123	—	2	1	no	—
292	C₁₃×#123	—	2	1	no	—
293	C₁₃×#123	—	2	1	no	—
294	C₁₃×#123	—	2	1	no	—
295	C₁₃×#123	—	2	1	no	—
296	C₁₃×#123	—	2	1	no	—
297	C₁₃×#123	—	2	1	no	—
298	C₁₃×#123	—	2	1	no	—
299	C₁₃×#123	—	2	1	no	—
300	C₁₃×C₂²⋊Q₈	—	2	1	no	—
301	C₁₃×C₂²⋊Q₈	—	2	1	no	—
302	C₁₃×C₂²⋊Q₈	—	2	1	no	—
303	C₁₃×C₂²⋊Q₈	—	2	1	no	—
304	C₁₃×C₂²⋊Q₈	—	2	1	no	—
305	C₁₃×C₂²⋊Q₈	—	2	1	no	—
306	C₁₃×C₂²⋊Q₈	—	2	1	no	—
307	C₁₃×C₂²⋊Q₈	—	2	1	no	—
308	C₁₃×C₂²⋊Q₈	—	2	1	no	—
309	C₁₃×C₂²⋊Q₈	—	2	1	no	—
310	C₁₃×C₂²⋊Q₈	—	2	1	no	—
311	C₁₃×C₂²⋊Q₈	—	2	1	no	—
312	C₁₃×C₂²⋊Q₈	—	2	1	no	—
313	C₁₃×C₂²⋊Q₈	—	2	1	no	—
314	C₁₃×C₂²⋊Q₈	—	2	1	no	—
315	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
318	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
319	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
320	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
323	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
324	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₁₃×#121	—	2	1	no	—
326	C₁₃×#121	—	2	1	no	—
327	C₁₃×#121	—	2	1	no	—
328	C₁₃×#121	C₂³	1	1	yes	characteristic
329	C₁₃×#121	C₂³	1	1	yes	characteristic
330	C₁₃×#121	C₂³	1	1	yes	characteristic
331	C₁₃×#121	C₂³	1	1	yes	characteristic
332	C₁₃×#121	C₂³	1	1	yes	characteristic
333	C₁₃×#121	C₂³	1	1	yes	characteristic
334	C₁₃×#120	—	2	1	no	—
335	C₁₃×#120	—	2	1	no	—
336	C₄×Q₈×C₁₃	—	2	1	no	—
337	C₄×Q₈×C₁₃	—	2	1	no	—
338	C₄×Q₈×C₁₃	—	2	1	no	—
339	C₄×Q₈×C₁₃	—	2	1	no	—
340	C₄×Q₈×C₁₃	—	2	1	no	—
341	C₄×Q₈×C₁₃	—	2	1	no	—
342	C₄×Q₈×C₁₃	—	2	1	no	—
343	C₄×Q₈×C₁₃	—	2	1	no	—
344	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
345	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
346	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
356	C₄×D₄×C₁₃	—	2	1	no	—
357	C₄×D₄×C₁₃	—	2	1	no	—
358	C₄×D₄×C₁₃	—	2	1	no	—
359	C₄×D₄×C₁₃	—	2	1	no	—
360	C₄×D₄×C₁₃	—	2	1	no	—
361	C₄×D₄×C₁₃	—	2	1	no	—
362	C₄×D₄×C₁₃	—	2	1	no	—
363	C₄×D₄×C₁₃	—	2	1	no	—
364	C₄×D₄×C₁₃	—	2	1	no	—
365	C₄×D₄×C₁₃	—	2	1	no	—
366	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
367	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
368	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
369	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
370	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
371	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
372	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
378	C₁₃×#117	—	2	1	no	—
379	C₁₃×#117	—	2	1	no	—
380	C₁₃×#117	—	2	1	no	—
381	C₁₃×#117	—	2	1	no	—
382	C₁₃×#117	—	2	1	no	—
383	C₁₃×#117	—	2	1	no	—
384	C₁₃×#117	—	2	1	no	—
385	C₁₃×#117	—	2	1	no	—
386	C₁₃×#117	—	2	1	no	—
387	C₁₃×#117	—	2	1	no	—
388	C₁₃×#117	—	2	1	no	—
389	C₁₃×#117	C₂³	1	1	yes	characteristic
390	C₁₃×#117	C₂³	1	1	yes	characteristic
391	C₁₃×#117	C₂³	1	1	yes	characteristic
392	C₁₃×#117	C₂³	1	1	yes	characteristic
393	C₁₃×#117	C₂³	1	1	yes	characteristic
394	C₁₃×#117	C₂³	1	1	yes	characteristic
395	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
398	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
399	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
400	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
401	C₂×C₄²×C₁₃	—	2	1	no	—
402	C₂×C₄²×C₁₃	—	2	1	no	—
403	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
404	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
405	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
406	C₁₃×#107	C₂³	1	1	yes	characteristic
407	C₁₃×#107	C₂³	1	1	yes	characteristic
408	C₁₃×#107	C₂³	1	1	yes	characteristic
409	C₁₃×#107	C₂³	1	1	yes	characteristic
410	C₁₃×#107	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#107	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#106	C₂³	1	1	yes	characteristic
416	C₁₃×#106	C₂³	1	1	yes	characteristic
417	C₁₃×#106	C₂³	1	1	yes	characteristic
418	C₁₃×#106	C₂³	1	1	yes	characteristic
419	C₁₃×#106	C₂³	1	1	yes	characteristic
420	C₁₃×#106	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#103	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×#103	C₂³	1	1	yes	characteristic
445	C₁₃×#103	C₂³	1	1	yes	characteristic
446	C₁₃×#103	C₂³	1	1	yes	characteristic
447	C₁₃×#103	C₂³	1	1	yes	characteristic
448	C₁₃×#103	C₂³	1	1	yes	characteristic
449	C₁₃×#103	C₂³	1	1	yes	characteristic
450	C₁₃×#102	C₂³	1	1	yes	characteristic
451	C₁₃×#102	C₂³	1	1	yes	characteristic
452	C₁₃×#102	C₂³	1	1	yes	characteristic
453	C₁₃×#102	C₂³	1	1	yes	characteristic
454	C₁₃×#102	C₂³	1	1	yes	characteristic
455	C₁₃×#102	C₂³	1	1	yes	characteristic
456	C₁₃×#102	C₂³	1	1	yes	characteristic
457	C₁₃×#102	C₂³	1	1	yes	characteristic
458	C₁₃×#102	C₂³	1	1	yes	characteristic
459	C₁₃×#102	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
463	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₁₃×#97	C₂³	1	1	yes	characteristic
471	C₁₃×#97	C₂³	1	1	yes	characteristic
472	C₁₃×#97	C₂³	1	1	yes	characteristic
473	C₁₃×#97	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	#60996	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₂⁴×C₁₃	—	2	1	no	—
480	C₁₃×#41	—	4	1	no	—
481	C₁₃×#41	—	4	1	no	—
482	C₁₃×#41	—	4	1	no	—
483	C₁₃×#41	—	4	1	no	—
484	C₂×Q₈×C₁₃	—	2	1	no	—
485	C₂×Q₈×C₁₃	—	2	1	no	—
486	C₂×Q₈×C₁₃	—	2	1	no	—
487	C₂×Q₈×C₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	—	2	1	no	—
490	C₂×Q₈×C₁₃	—	4	1	no	—
491	C₂×Q₈×C₁₃	—	4	1	no	—
492	C₂×Q₈×C₁₃	—	4	1	no	—
493	C₂×Q₈×C₁₃	—	4	1	no	—
494	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	4	1	no	—
509	C₂×D₄×C₁₃	—	4	1	no	—
510	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
511	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
512	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	—	2	1	no	—
525	C₂²×C₄×C₁₃	—	2	1	no	—
526	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₁₃×Q₁₆	—	4	1	no	—
536	C₁₃×Q₁₆	—	4	1	no	—
537	C₁₃×Q₁₆	—	4	1	no	—
538	C₁₃×Q₁₆	—	4	1	no	—
539	C₁₃×Q₁₆	—	4	1	no	—
540	C₁₃×Q₁₆	—	4	1	no	—
541	C₁₃×SD₁₆	—	4	1	no	—
542	C₁₃×SD₁₆	—	4	1	no	—
543	C₁₃×SD₁₆	—	4	1	no	—
544	C₁₃×SD₁₆	—	4	1	no	—
545	C₁₃×SD₁₆	—	4	1	no	—
546	C₁₃×SD₁₆	—	4	1	no	—
547	C₁₃×SD₁₆	—	4	1	no	—
548	C₁₃×SD₁₆	—	4	1	no	—
549	C₁₃×D₈	—	4	1	no	—
550	C₁₃×D₈	—	4	1	no	—
551	C₁₃×M₁₆	—	4	1	no	—
552	C₁₃×M₁₆	—	4	1	no	—
553	C₂×C₈×C₁₃	—	4	1	no	—
554	C₂×C₈×C₁₃	—	4	1	no	—
555	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
557	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
558	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
559	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
560	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	—	2	1	no	—
569	C₁₃×C₄⋊C₄	—	2	1	no	—
570	C₁₃×C₄⋊C₄	—	2	1	no	—
571	C₁₃×C₄⋊C₄	—	2	1	no	—
572	C₁₃×C₄⋊C₄	—	2	1	no	—
573	C₁₃×C₄⋊C₄	—	2	1	no	—
574	C₁₃×C₄⋊C₄	—	2	1	no	—
575	C₁₃×C₄⋊C₄	—	2	1	no	—
576	C₁₃×C₄⋊C₄	—	2	1	no	—
577	C₁₃×C₄⋊C₄	—	2	1	no	—
578	C₁₃×C₄⋊C₄	—	2	1	no	—
579	C₁₃×C₄⋊C₄	—	2	1	no	—
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	—	2	1	no	—
584	C₁₃×C₄⋊C₄	—	2	1	no	—
585	C₁₃×C₄⋊C₄	—	2	1	no	—
586	C₁₃×C₄⋊C₄	—	2	1	no	—
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	—	2	1	no	—
589	C₁₃×C₄⋊C₄	—	2	1	no	—
590	C₁₃×C₄⋊C₄	—	2	1	no	—
591	C₁₃×C₄⋊C₄	—	2	1	no	—
592	C₁₃×C₄⋊C₄	—	2	1	no	—
593	C₁₃×C₄⋊C₄	—	2	1	no	—
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₁₃×C₂²⋊C₄	—	2	1	no	—
615	C₁₃×C₂²⋊C₄	—	2	1	no	—
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₄²×C₁₃	—	2	1	no	—
658	C₄²×C₁₃	—	2	1	no	—
659	C₄²×C₁₃	—	2	1	no	—
660	C₄²×C₁₃	—	2	1	no	—
661	C₄²×C₁₃	—	2	1	no	—
662	C₄²×C₁₃	—	2	1	no	—
663	C₄²×C₁₃	—	2	1	no	—
664	C₄²×C₁₃	—	2	1	no	—
665	C₄²×C₁₃	—	2	1	no	—
666	C₄²×C₁₃	—	2	1	no	—
667	C₄²×C₁₃	—	2	1	no	—
668	C₄²×C₁₃	—	2	1	no	—
669	C₄²×C₁₃	—	2	1	no	—
670	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
672	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
673	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
674	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
675	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
677	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
678	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
679	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
680	#3510	C₂×C₁₃	1	1	yes	characteristic, complemented
681	#3461	C₂×C₁₃	1	1	yes	characteristic, complemented
682	#3256	C₂×C₁₃	1	1	yes	characteristic, complemented
683	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3250	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3248	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3244	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3243	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3240	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3231	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3225	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3225	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3215	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3211	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3202	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3201	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3200	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3198	C₂×C₁₃	1	1	yes	characteristic
698	#3178	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3178	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3175	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3173	C₂×C₁₃	1	1	yes	characteristic, complemented
702	#3127	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#3123	C₂×C₁₃	1	1	yes	characteristic, complemented
704	#3121	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3118	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3117	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3111	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3108	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#2925	C₂×C₁₃	1	1	yes	characteristic, complemented
711	C₂³×C₁₃	—	2	1	no	—
712	C₂³×C₁₃	—	2	1	no	—
713	C₂³×C₁₃	—	2	1	no	—
714	C₂³×C₁₃	—	4	2	no	—
715	C₂³×C₁₃	—	8	1	no	—
716	C₂³×C₁₃	—	8	1	no	—
717	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
718	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
719	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
720	Q₈×C₁₃	—	2	1	no	—
721	Q₈×C₁₃	—	2	1	no	—
722	Q₈×C₁₃	—	2	1	no	—
723	Q₈×C₁₃	—	2	1	no	—
724	Q₈×C₁₃	—	2	1	no	—
725	Q₈×C₁₃	—	2	1	no	—
726	Q₈×C₁₃	—	2	1	no	—
727	Q₈×C₁₃	—	2	1	no	—
728	Q₈×C₁₃	—	2	1	no	—
729	Q₈×C₁₃	—	2	1	no	—
730	Q₈×C₁₃	—	4	1	no	—
731	Q₈×C₁₃	—	4	2	no	—
732	Q₈×C₁₃	—	4	2	no	—
733	Q₈×C₁₃	—	8	1	no	—
734	Q₈×C₁₃	—	8	1	no	—
735	Q₈×C₁₃	—	8	1	no	—
736	Q₈×C₁₃	—	8	1	no	—
737	D₄×C₁₃	—	2	1	no	—
738	D₄×C₁₃	—	2	1	no	—
739	D₄×C₁₃	—	2	1	no	—
740	D₄×C₁₃	—	2	1	no	—
741	D₄×C₁₃	—	2	1	no	—
742	D₄×C₁₃	—	2	1	no	—
743	D₄×C₁₃	—	4	1	no	—
744	D₄×C₁₃	—	4	1	no	—
745	D₄×C₁₃	—	4	1	no	—
746	D₄×C₁₃	—	4	2	no	—
747	D₄×C₁₃	—	4	2	no	—
748	D₄×C₁₃	—	8	1	no	—
749	D₄×C₁₃	—	8	1	no	—
750	D₄×C₁₃	—	8	1	no	—
751	D₄×C₁₃	—	8	1	no	—
752	D₄×C₁₃	—	8	1	no	—
753	D₄×C₁₃	—	8	1	no	—
754	C₂×C₄×C₁₃	—	2	1	no	—
755	C₂×C₄×C₁₃	—	2	1	no	—
756	C₂×C₄×C₁₃	—	2	1	no	—
757	C₂×C₄×C₁₃	—	2	1	no	—
758	C₂×C₄×C₁₃	—	2	1	no	—
759	C₂×C₄×C₁₃	—	2	1	no	—
760	C₂×C₄×C₁₃	—	2	1	no	—
761	C₂×C₄×C₁₃	—	2	1	no	—
762	C₂×C₄×C₁₃	—	2	1	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	4	1	no	—
774	C₂×C₄×C₁₃	—	4	1	no	—
775	C₂×C₄×C₁₃	—	4	1	no	—
776	C₂×C₄×C₁₃	—	4	1	no	—
777	C₂×C₄×C₁₃	—	4	1	no	—
778	C₂×C₄×C₁₃	—	4	1	no	—
779	C₂×C₄×C₁₃	—	4	2	no	—
780	C₂×C₄×C₁₃	—	4	2	no	—
781	C₂×C₄×C₁₃	—	4	2	no	—
782	C₂×C₄×C₁₃	—	4	2	no	—
783	C₂×C₄×C₁₃	—	8	1	no	—
784	C₂×C₄×C₁₃	—	8	1	no	—
785	C₂×C₄×C₁₃	—	8	1	no	—
786	C₂×C₄×C₁₃	—	8	1	no	—
787	C₂×C₄×C₁₃	—	8	1	no	—
788	C₂×C₄×C₁₃	—	8	1	no	—
789	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
801	C₈×C₁₃	—	2	1	no	—
802	C₈×C₁₃	—	2	1	no	—
803	C₈×C₁₃	—	2	1	no	—
804	C₈×C₁₃	—	2	1	no	—
805	C₈×C₁₃	—	2	1	no	—
806	C₈×C₁₃	—	2	1	no	—
807	C₈×C₁₃	—	2	1	no	—
808	C₈×C₁₃	—	2	1	no	—
809	#559	—	2	1	no	—
810	#559	—	2	1	no	—
811	#556	—	2	1	no	—
812	#556	—	2	1	no	—
813	#551	—	2	1	no	—
814	#551	—	2	1	no	—
815	#551	—	2	1	no	—
816	#551	—	2	1	no	—
817	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
818	#542	—	2	1	no	—
819	#542	C₂²×C₁₃	1	1	yes	characteristic
820	#542	C₂²×C₁₃	1	1	yes	characteristic
821	#542	C₂²×C₁₃	1	1	yes	characteristic
822	#542	C₂²×C₁₃	1	1	yes	characteristic
823	#542	C₂²×C₁₃	1	1	yes	characteristic
824	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
825	#541	—	2	1	no	—
826	#541	C₂²×C₁₃	1	1	yes	characteristic
827	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
828	#539	—	2	1	no	—
829	#539	—	2	1	no	—
830	#537	C₂²×C₁₃	1	1	yes	characteristic
831	#536	C₂²×C₁₃	1	1	yes	characteristic
832	#536	C₂²×C₁₃	1	1	yes	characteristic
833	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
834	#535	C₂²×C₁₃	1	1	yes	characteristic
835	#533	—	2	1	no	—
836	#533	C₂²×C₁₃	1	1	yes	characteristic
837	#533	C₂²×C₁₃	1	1	yes	characteristic
838	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
839	#529	—	2	1	no	—
840	#529	—	2	1	no	—
841	#529	—	2	1	no	—
842	#529	C₂²×C₁₃	1	1	yes	characteristic
843	#529	C₂²×C₁₃	1	1	yes	characteristic
844	#529	C₂²×C₁₃	1	1	yes	characteristic
845	#529	C₂²×C₁₃	1	1	yes	characteristic
846	#529	C₂²×C₁₃	1	1	yes	characteristic
847	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
848	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
849	#519	C₂²×C₁₃	1	1	yes	characteristic
850	#518	C₂²×C₁₃	1	1	yes	characteristic
851	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
852	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
854	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
855	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
858	#497	C₂²×C₁₃	1	1	yes	characteristic
859	#497	C₂²×C₁₃	1	1	yes	characteristic
860	#495	C₂²×C₁₃	1	1	yes	characteristic
861	#495	C₂²×C₁₃	1	1	yes	characteristic
862	#489	C₂²×C₁₃	1	1	yes	characteristic
863	#489	C₂²×C₁₃	1	1	yes	characteristic
864	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
865	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
866	#488	C₂²×C₁₃	1	1	yes	characteristic
867	#488	C₂²×C₁₃	1	1	yes	characteristic
868	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
869	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
870	#485	C₂²×C₁₃	1	1	yes	characteristic
871	#485	C₂²×C₁₃	1	1	yes	characteristic
872	#485	C₂²×C₁₃	1	1	yes	characteristic
873	#485	C₂²×C₁₃	1	1	yes	characteristic
874	#485	C₂²×C₁₃	1	1	yes	characteristic
875	#485	C₂²×C₁₃	1	1	yes	characteristic
876	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
877	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
878	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
879	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
880	#482	C₂²×C₁₃	1	1	yes	characteristic
881	#482	C₂²×C₁₃	1	1	yes	characteristic
882	#482	C₂²×C₁₃	1	1	yes	characteristic
883	#482	C₂²×C₁₃	1	1	yes	characteristic
884	#481	C₂²×C₁₃	1	1	yes	characteristic
885	#480	C₂²×C₁₃	1	1	yes	characteristic
886	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
887	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
888	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
890	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
891	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
892	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
893	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
894	#478	C₂²×C₁₃	1	1	yes	characteristic
895	#478	C₂²×C₁₃	1	1	yes	characteristic
896	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
897	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
898	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	#476	C₂²×C₁₃	1	1	yes	characteristic
900	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	#474	C₂²×C₁₃	1	1	yes	characteristic
902	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
904	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
905	#469	C₂²×C₁₃	1	1	yes	characteristic
906	#468	C₂²×C₁₃	1	1	yes	characteristic
907	#468	C₂²×C₁₃	1	1	yes	characteristic
908	#468	C₂²×C₁₃	1	1	yes	characteristic
909	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
910	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
913	#466	C₂²×C₁₃	1	1	yes	characteristic
914	#465	C₂²×C₁₃	1	1	yes	characteristic
915	#465	C₂²×C₁₃	1	1	yes	characteristic
916	#465	C₂²×C₁₃	1	1	yes	characteristic
917	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
918	#464	C₂²×C₁₃	1	1	yes	characteristic
919	#464	C₂²×C₁₃	1	1	yes	characteristic
920	#464	C₂²×C₁₃	1	1	yes	characteristic
921	#464	C₂²×C₁₃	1	1	yes	characteristic
922	#464	C₂²×C₁₃	1	1	yes	characteristic
923	#464	C₂²×C₁₃	1	1	yes	characteristic
924	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
925	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	#463	C₂²×C₁₃	1	1	yes	characteristic
927	#463	C₂²×C₁₃	1	1	yes	characteristic
928	#463	C₂²×C₁₃	1	1	yes	characteristic
929	#463	C₂²×C₁₃	1	1	yes	characteristic
930	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
932	#461	C₂²×C₁₃	1	1	yes	characteristic
933	#461	C₂²×C₁₃	1	1	yes	characteristic
934	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
936	#451	C₂²×C₁₃	1	1	yes	characteristic
937	#451	C₂²×C₁₃	1	1	yes	characteristic
938	#451	C₂²×C₁₃	1	1	yes	characteristic
939	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
940	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
941	#450	C₂²×C₁₃	1	1	yes	characteristic
942	#450	C₂²×C₁₃	1	1	yes	characteristic
943	#450	C₂²×C₁₃	1	1	yes	characteristic
944	#449	C₂²×C₁₃	1	1	yes	characteristic
945	#449	C₂²×C₁₃	1	1	yes	characteristic
946	#448	C₂²×C₁₃	1	1	yes	characteristic
947	#448	C₂²×C₁₃	1	1	yes	characteristic
948	#448	C₂²×C₁₃	1	1	yes	characteristic
949	#447	C₂²×C₁₃	1	1	yes	characteristic
950	#442	C₂²×C₁₃	1	1	yes	characteristic
951	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
952	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
953	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#440	C₂²×C₁₃	1	1	yes	characteristic
955	#440	C₂²×C₁₃	1	1	yes	characteristic
956	#440	C₂²×C₁₃	1	1	yes	characteristic
957	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
958	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
959	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
962	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
963	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
964	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
966	#433	C₂²×C₁₃	1	1	yes	characteristic
967	#433	C₂²×C₁₃	1	1	yes	characteristic
968	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
969	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	#432	C₂²×C₁₃	1	1	yes	characteristic
971	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
972	#431	C₂²×C₁₃	1	1	yes	characteristic
973	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
975	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	#408	C₂²×C₁₃	1	1	yes	characteristic
977	#408	C₂²×C₁₃	1	1	yes	characteristic
978	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
980	C₂²×C₁₃	—	2	1	no	—
981	C₂²×C₁₃	—	2	1	no	—
982	C₂²×C₁₃	—	2	1	no	—
983	C₂²×C₁₃	—	2	1	no	—
984	C₂²×C₁₃	—	2	1	no	—
985	C₂²×C₁₃	—	2	1	no	—
986	C₂²×C₁₃	—	2	1	no	—
987	C₂²×C₁₃	—	2	1	no	—
988	C₂²×C₁₃	—	2	1	no	—
989	C₂²×C₁₃	—	4	1	no	—
990	C₂²×C₁₃	—	4	1	no	—
991	C₂²×C₁₃	—	4	1	no	—
992	C₂²×C₁₃	—	4	1	no	—
993	C₂²×C₁₃	—	4	1	no	—
994	C₂²×C₁₃	—	4	1	no	—
995	C₂²×C₁₃	—	4	1	no	—
996	C₂²×C₁₃	—	4	1	no	—
997	C₂²×C₁₃	—	4	1	no	—
998	C₂²×C₁₃	—	16	2	no	—
999	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1000	C₄×C₁₃	—	2	1	no	—
1001	C₄×C₁₃	—	2	1	no	—
1002	C₄×C₁₃	—	2	1	no	—
1003	C₄×C₁₃	—	2	1	no	—
1004	C₄×C₁₃	—	2	1	no	—
1005	C₄×C₁₃	—	2	1	no	—
1006	C₄×C₁₃	—	2	1	no	—
1007	C₄×C₁₃	—	2	1	no	—
1008	C₄×C₁₃	—	2	1	no	—
1009	C₄×C₁₃	—	2	1	no	—
1010	C₄×C₁₃	—	2	1	no	—
1011	C₄×C₁₃	—	4	1	no	—
1012	C₄×C₁₃	—	4	1	no	—
1013	C₄×C₁₃	—	4	1	no	—
1014	C₄×C₁₃	—	4	1	no	—
1015	C₄×C₁₃	—	4	1	no	—
1016	C₄×C₁₃	—	4	1	no	—
1017	C₄×C₁₃	—	4	1	no	—
1018	C₄×C₁₃	—	4	1	no	—
1019	C₄×C₁₃	—	4	1	no	—
1020	C₄×C₁₃	—	4	1	no	—
1021	C₄×C₁₃	—	4	1	no	—
1022	C₄×C₁₃	—	4	1	no	—
1023	C₄×C₁₃	—	4	1	no	—
1024	C₄×C₁₃	#585	1	1	yes	characteristic
1025	C₄×C₁₃	#585	1	1	yes	characteristic
1026	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1028	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1030	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1031	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1032	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1035	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1043	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1051	C₄⋊Q₈	—	2	1	no	—
1052	C₄⋊Q₈	—	2	1	no	—
1053	C₄⋊Q₈	—	2	1	no	—
1054	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1055	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1056	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1057	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1058	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1059	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1060	#127	—	2	1	no	—
1061	#126	—	2	1	no	—
1062	#126	—	2	1	no	—
1063	#126	—	2	1	no	—
1064	#126	—	2	1	no	—
1065	#126	—	2	1	no	—
1066	#126	—	2	1	no	—
1067	#126	—	2	1	no	—
1068	#126	—	2	1	no	—
1069	#126	—	2	1	no	—
1070	#126	—	2	1	no	—
1071	#126	—	2	1	no	—
1072	#126	—	2	1	no	—
1073	#126	—	2	1	no	—
1074	#126	—	2	1	no	—
1075	#126	—	2	1	no	—
1076	#126	—	2	1	no	—
1077	#125	—	2	1	no	—
1078	#125	—	2	1	no	—
1079	#125	—	2	1	no	—
1080	#125	—	2	1	no	—
1081	#125	—	2	1	no	—
1082	#125	—	2	1	no	—
1083	#125	—	2	1	no	—
1084	#125	C₂³×C₁₃	1	1	yes	characteristic
1085	#125	C₂³×C₁₃	1	1	yes	characteristic
1086	#125	C₂³×C₁₃	1	1	yes	characteristic
1087	#125	C₂³×C₁₃	1	1	yes	characteristic
1088	#124	—	2	1	no	—
1089	#124	—	2	1	no	—
1090	#124	—	2	1	no	—
1091	#124	—	2	1	no	—
1092	#124	—	2	1	no	—
1093	#124	—	2	1	no	—
1094	#124	—	2	1	no	—
1095	#124	—	2	1	no	—
1096	#124	—	2	1	no	—
1097	#124	—	2	1	no	—
1098	#124	—	2	1	no	—
1099	#124	C₂³×C₁₃	1	1	yes	characteristic
1100	#124	C₂³×C₁₃	1	1	yes	characteristic
1101	#124	C₂³×C₁₃	1	1	yes	characteristic
1102	#124	C₂³×C₁₃	1	1	yes	characteristic
1103	#124	C₂³×C₁₃	1	1	yes	characteristic
1104	#124	C₂³×C₁₃	1	1	yes	characteristic
1105	#123	—	2	1	no	—
1106	#123	—	2	1	no	—
1107	#123	—	2	1	no	—
1108	#123	—	2	1	no	—
1109	#123	—	2	1	no	—
1110	#123	—	2	1	no	—
1111	#123	—	2	1	no	—
1112	#123	—	2	1	no	—
1113	#123	—	2	1	no	—
1114	#123	—	2	1	no	—
1115	#123	—	2	1	no	—
1116	#123	—	2	1	no	—
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	C₂²⋊Q₈	—	2	1	no	—
1124	C₂²⋊Q₈	—	2	1	no	—
1125	C₂²⋊Q₈	—	2	1	no	—
1126	C₂²⋊Q₈	—	2	1	no	—
1127	C₂²⋊Q₈	—	2	1	no	—
1128	C₂²⋊Q₈	—	2	1	no	—
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1139	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1140	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1141	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1142	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1143	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1144	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1148	#121	—	2	1	no	—
1149	#121	—	2	1	no	—
1150	#121	—	2	1	no	—
1151	#121	C₂³×C₁₃	1	1	yes	characteristic
1152	#121	C₂³×C₁₃	1	1	yes	characteristic
1153	#121	C₂³×C₁₃	1	1	yes	characteristic
1154	#121	C₂³×C₁₃	1	1	yes	characteristic
1155	#121	C₂³×C₁₃	1	1	yes	characteristic
1156	#121	C₂³×C₁₃	1	1	yes	characteristic
1157	#120	—	2	1	no	—
1158	#120	—	2	1	no	—
1159	C₄×Q₈	—	2	1	no	—
1160	C₄×Q₈	—	2	1	no	—
1161	C₄×Q₈	—	2	1	no	—
1162	C₄×Q₈	—	2	1	no	—
1163	C₄×Q₈	—	2	1	no	—
1164	C₄×Q₈	—	2	1	no	—
1165	C₄×Q₈	—	2	1	no	—
1166	C₄×Q₈	—	2	1	no	—
1167	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
1168	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
1169	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1170	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1171	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1172	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1173	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1174	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1175	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1176	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1177	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1179	C₄×D₄	—	2	1	no	—
1180	C₄×D₄	—	2	1	no	—
1181	C₄×D₄	—	2	1	no	—
1182	C₄×D₄	—	2	1	no	—
1183	C₄×D₄	—	2	1	no	—
1184	C₄×D₄	—	2	1	no	—
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1190	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1191	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1192	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1193	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1194	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1195	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1196	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1197	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1198	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1199	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1200	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1201	#117	—	2	1	no	—
1202	#117	—	2	1	no	—
1203	#117	—	2	1	no	—
1204	#117	—	2	1	no	—
1205	#117	—	2	1	no	—
1206	#117	—	2	1	no	—
1207	#117	—	2	1	no	—
1208	#117	—	2	1	no	—
1209	#117	—	2	1	no	—
1210	#117	—	2	1	no	—
1211	#117	—	2	1	no	—
1212	#117	C₂³×C₁₃	1	1	yes	characteristic
1213	#117	C₂³×C₁₃	1	1	yes	characteristic
1214	#117	C₂³×C₁₃	1	1	yes	characteristic
1215	#117	C₂³×C₁₃	1	1	yes	characteristic
1216	#117	C₂³×C₁₃	1	1	yes	characteristic
1217	#117	C₂³×C₁₃	1	1	yes	characteristic
1218	C₂×C₄⋊C₄	—	2	1	no	—
1219	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1220	C₂×C₂²⋊C₄	—	2	1	no	—
1221	C₂×C₂²⋊C₄	—	2	1	no	—
1222	C₂×C₂²⋊C₄	—	2	1	no	—
1223	C₂×C₂²⋊C₄	—	2	1	no	—
1224	C₂×C₄²	—	2	1	no	—
1225	C₂×C₄²	—	2	1	no	—
1226	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1227	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1228	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1229	#107	C₂³×C₁₃	1	1	yes	characteristic
1230	#107	C₂³×C₁₃	1	1	yes	characteristic
1231	#107	C₂³×C₁₃	1	1	yes	characteristic
1232	#107	C₂³×C₁₃	1	1	yes	characteristic
1233	#107	C₂³×C₁₃	1	1	yes	characteristic
1234	#107	C₂³×C₁₃	1	1	yes	characteristic
1235	#107	C₂³×C₁₃	1	1	yes	characteristic
1236	#107	C₂³×C₁₃	1	1	yes	characteristic
1237	#106	C₂³×C₁₃	1	1	yes	characteristic
1238	#106	C₂³×C₁₃	1	1	yes	characteristic
1239	#106	C₂³×C₁₃	1	1	yes	characteristic
1240	#106	C₂³×C₁₃	1	1	yes	characteristic
1241	#106	C₂³×C₁₃	1	1	yes	characteristic
1242	#106	C₂³×C₁₃	1	1	yes	characteristic
1243	#106	C₂³×C₁₃	1	1	yes	characteristic
1244	#106	C₂³×C₁₃	1	1	yes	characteristic
1245	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1246	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1247	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1248	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1249	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1250	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1251	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1252	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1253	#103	C₂³×C₁₃	1	1	yes	characteristic
1254	#103	C₂³×C₁₃	1	1	yes	characteristic
1255	#103	C₂³×C₁₃	1	1	yes	characteristic
1256	#103	C₂³×C₁₃	1	1	yes	characteristic
1257	#103	C₂³×C₁₃	1	1	yes	characteristic
1258	#103	C₂³×C₁₃	1	1	yes	characteristic
1259	#103	C₂³×C₁₃	1	1	yes	characteristic
1260	#103	C₂³×C₁₃	1	1	yes	characteristic
1261	#103	C₂³×C₁₃	1	1	yes	characteristic
1262	#103	C₂³×C₁₃	1	1	yes	characteristic
1263	#103	C₂³×C₁₃	1	1	yes	characteristic
1264	#103	C₂³×C₁₃	1	1	yes	characteristic
1265	#103	C₂³×C₁₃	1	1	yes	characteristic
1266	#103	C₂³×C₁₃	1	1	yes	characteristic
1267	#103	C₂³×C₁₃	1	1	yes	characteristic
1268	#103	C₂³×C₁₃	1	1	yes	characteristic
1269	#103	C₂³×C₁₃	1	1	yes	characteristic
1270	#103	C₂³×C₁₃	1	1	yes	characteristic
1271	#103	C₂³×C₁₃	1	1	yes	characteristic
1272	#103	C₂³×C₁₃	1	1	yes	characteristic
1273	#102	C₂³×C₁₃	1	1	yes	characteristic
1274	#102	C₂³×C₁₃	1	1	yes	characteristic
1275	#102	C₂³×C₁₃	1	1	yes	characteristic
1276	#102	C₂³×C₁₃	1	1	yes	characteristic
1277	#102	C₂³×C₁₃	1	1	yes	characteristic
1278	#102	C₂³×C₁₃	1	1	yes	characteristic
1279	#102	C₂³×C₁₃	1	1	yes	characteristic
1280	#102	C₂³×C₁₃	1	1	yes	characteristic
1281	#102	C₂³×C₁₃	1	1	yes	characteristic
1282	#102	C₂³×C₁₃	1	1	yes	characteristic
1283	#102	C₂³×C₁₃	1	1	yes	characteristic
1284	#102	C₂³×C₁₃	1	1	yes	characteristic
1285	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1286	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1287	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1288	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1289	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1290	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1291	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1292	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1293	#97	C₂³×C₁₃	1	1	yes	characteristic
1294	#97	C₂³×C₁₃	1	1	yes	characteristic
1295	#97	C₂³×C₁₃	1	1	yes	characteristic
1296	#97	C₂³×C₁₃	1	1	yes	characteristic
1297	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1298	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1299	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1300	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1301	C₂×C₁₃	—	4	1	no	—
1302	C₂×C₁₃	—	4	1	no	—
1303	C₂×C₁₃	—	4	1	no	—
1304	C₂×C₁₃	—	8	1	no	—
1305	C₂×C₁₃	—	8	1	no	—
1306	C₂×C₁₃	—	8	1	no	—
1307	C₂×C₁₃	#3449	1	1	yes	characteristic
1308	C₂×C₁₃	#3584	1	1	yes	characteristic
1309	C₂×C₁₃	#3586	1	1	yes	characteristic
1310	C₂⁴	—	2	1	no	—
1311	#41	—	4	1	no	—
1312	#41	—	4	1	no	—
1313	#41	—	4	1	no	—
1314	#41	—	4	1	no	—
1315	C₂×Q₈	—	2	1	no	—
1316	C₂×Q₈	—	2	1	no	—
1317	C₂×Q₈	—	2	1	no	—
1318	C₂×Q₈	—	2	1	no	—
1319	C₂×Q₈	—	2	1	no	—
1320	C₂×Q₈	—	2	1	no	—
1321	C₂×Q₈	—	4	1	no	—
1322	C₂×Q₈	—	4	1	no	—
1323	C₂×Q₈	—	4	1	no	—
1324	C₂×Q₈	—	4	1	no	—
1325	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1326	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1327	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1328	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1329	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1330	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1331	C₂×D₄	—	2	1	no	—
1332	C₂×D₄	—	2	1	no	—
1333	C₂×D₄	—	2	1	no	—
1334	C₂×D₄	—	2	1	no	—
1335	C₂×D₄	—	2	1	no	—
1336	C₂×D₄	—	2	1	no	—
1337	C₂×D₄	—	2	1	no	—
1338	C₂×D₄	—	2	1	no	—
1339	C₂×D₄	—	4	1	no	—
1340	C₂×D₄	—	4	1	no	—
1341	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1342	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1343	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1344	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1345	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1346	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	2	1	no	—
1356	C₂²×C₄	—	2	1	no	—
1357	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1358	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1359	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1360	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1361	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1362	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1363	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1366	Q₁₆	—	4	1	no	—
1367	Q₁₆	—	4	1	no	—
1368	Q₁₆	—	4	1	no	—
1369	Q₁₆	—	4	1	no	—
1370	Q₁₆	—	4	1	no	—
1371	Q₁₆	—	4	1	no	—
1372	SD₁₆	—	4	1	no	—
1373	SD₁₆	—	4	1	no	—
1374	SD₁₆	—	4	1	no	—
1375	SD₁₆	—	4	1	no	—
1376	SD₁₆	—	4	1	no	—
1377	SD₁₆	—	4	1	no	—
1378	SD₁₆	—	4	1	no	—
1379	SD₁₆	—	4	1	no	—
1380	D₈	—	4	1	no	—
1381	D₈	—	4	1	no	—
1382	M₁₆	—	4	1	no	—
1383	M₁₆	—	4	1	no	—
1384	C₂×C₈	—	4	1	no	—
1385	C₂×C₈	—	4	1	no	—
1386	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1387	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1388	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1389	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1390	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1391	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1392	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1393	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1432	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1433	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1434	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1435	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1436	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1437	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1438	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1439	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1440	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1441	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1442	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1443	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1444	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1483	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1484	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1485	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1486	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1487	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	1	no	—
1494	C₄²	—	2	1	no	—
1495	C₄²	—	2	1	no	—
1496	C₄²	—	2	1	no	—
1497	C₄²	—	2	1	no	—
1498	C₄²	—	2	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1502	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1503	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1504	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1505	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1506	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1507	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1508	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1509	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1510	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1511	C₁₃	#60996	1	1	yes	characteristic, direct product factor, Sylow
1512	C₂³	—	2	1	no	—
1513	C₂³	—	2	1	no	—
1514	C₂³	—	2	1	no	—
1515	C₂³	—	4	2	no	—
1516	C₂³	—	8	1	no	—
1517	C₂³	—	8	1	no	—
1518	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1519	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1520	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	2	1	no	—
1524	Q₈	—	2	1	no	—
1525	Q₈	—	2	1	no	—
1526	Q₈	—	2	1	no	—
1527	Q₈	—	2	1	no	—
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	4	1	no	—
1532	Q₈	—	4	2	no	—
1533	Q₈	—	4	2	no	—
1534	Q₈	—	8	1	no	—
1535	Q₈	—	8	1	no	—
1536	Q₈	—	8	1	no	—
1537	Q₈	—	8	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	2	1	no	—
1540	D₄	—	2	1	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	4	1	no	—
1545	D₄	—	4	1	no	—
1546	D₄	—	4	1	no	—
1547	D₄	—	4	2	no	—
1548	D₄	—	4	2	no	—
1549	D₄	—	8	1	no	—
1550	D₄	—	8	1	no	—
1551	D₄	—	8	1	no	—
1552	D₄	—	8	1	no	—
1553	D₄	—	8	1	no	—
1554	D₄	—	8	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	4	1	no	—
1575	C₂×C₄	—	4	1	no	—
1576	C₂×C₄	—	4	1	no	—
1577	C₂×C₄	—	4	1	no	—
1578	C₂×C₄	—	4	1	no	—
1579	C₂×C₄	—	4	1	no	—
1580	C₂×C₄	—	4	2	no	—
1581	C₂×C₄	—	4	2	no	—
1582	C₂×C₄	—	4	2	no	—
1583	C₂×C₄	—	4	2	no	—
1584	C₂×C₄	—	8	1	no	—
1585	C₂×C₄	—	8	1	no	—
1586	C₂×C₄	—	8	1	no	—
1587	C₂×C₄	—	8	1	no	—
1588	C₂×C₄	—	8	1	no	—
1589	C₂×C₄	—	8	1	no	—
1590	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1591	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1592	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1593	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1594	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1595	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1596	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1597	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1598	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1599	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1600	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1601	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1602	C₈	—	2	1	no	—
1603	C₈	—	2	1	no	—
1604	C₈	—	2	1	no	—
1605	C₈	—	2	1	no	—
1606	C₈	—	2	1	no	—
1607	C₈	—	2	1	no	—
1608	C₈	—	2	1	no	—
1609	C₈	—	2	1	no	—
1610	C₂²	—	2	1	no	—
1611	C₂²	—	2	1	no	—
1612	C₂²	—	2	1	no	—
1613	C₂²	—	2	1	no	—
1614	C₂²	—	2	1	no	—
1615	C₂²	—	2	1	no	—
1616	C₂²	—	2	1	no	—
1617	C₂²	—	2	1	no	—
1618	C₂²	—	2	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	16	2	no	—
1629	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	2	1	no	—
1640	C₄	—	2	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	C₁₃×#585	1	1	yes	characteristic
1655	C₄	C₁₃×#585	1	1	yes	characteristic
1656	C₂	—	4	1	no	—
1657	C₂	—	4	1	no	—
1658	C₂	—	4	1	no	—
1659	C₂	—	8	1	no	—
1660	C₂	—	8	1	no	—
1661	C₂	—	8	1	no	—
1662	C₂	C₁₃×#3449	1	1	yes	characteristic
1663	C₂	C₁₃×#3584	1	1	yes	characteristic
1664	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×#3198	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×#3510	C₂	semidirect
2. C₁₃×#3461	C₂	semidirect
3. C₁₃×#3256	C₂	semidirect
4. C₁₃×#3252	C₂	semidirect
5. C₁₃×#3250	C₂	semidirect
6. C₁₃×#3248	C₂	semidirect
7. C₁₃×#3244	C₂	semidirect
8. C₁₃×#3243	C₂	semidirect
9. C₁₃×#3240	C₂	semidirect
10. C₁₃×#3231	C₂	semidirect
11. C₁₃×#3225	C₂	semidirect
12. C₁₃×#3225	C₂	semidirect
13. C₁₃×#3215	C₂	semidirect
14. C₁₃×#3211	C₂	semidirect
15. C₁₃×#3202	C₂	semidirect
16. C₁₃×#3201	C₂	semidirect
17. C₁₃×#3200	C₂	semidirect
19. C₁₃×#3178	C₂	semidirect
20. C₁₃×#3178	C₂	semidirect
21. C₁₃×#3175	C₂	semidirect
22. C₁₃×#3173	C₂	semidirect
23. C₁₃×#3127	C₂	semidirect
24. C₁₃×#3123	C₂	semidirect
25. C₁₃×#3121	C₂	semidirect
26. C₁₃×#3118	C₂	semidirect
27. C₁₃×#3117	C₂	semidirect
28. C₁₃×#3111	C₂	semidirect
29. C₁₃×#3108	C₂	semidirect
30. C₁₃×#3102	C₂	semidirect
31. C₁₃×#2925	C₂	semidirect
40. C₁₃×#544	C₂²	semidirect
47. C₁₃×#542	C₂²	semidirect
50. C₁₃×#541	C₂²	semidirect
56. C₁₃×#536	C₂²	semidirect
61. C₁₃×#533	C₂²	semidirect
70. C₁₃×#529	C₂²	semidirect
75. C₄×C₁₃×#41	C₂²	semidirect
76. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
77. C₁₃×#501	C₂²	semidirect
78. C₁₃×#501	C₂²	semidirect
79. C₁₃×#500	C₂²	semidirect
80. C₁₃×#498	C₂²	semidirect
87. C₁₃×#489	C₂²	semidirect
88. C₁₃×#489	C₂²	semidirect
91. C₁₃×#487	C₂²	semidirect
92. C₁₃×#487	C₂²	semidirect
99. C₁₃×#485	C₂²	semidirect
100. C₁₃×#485	C₂²	semidirect
101. C₁₃×#484	C₂²	semidirect
102. C₁₃×#483	C₂²	semidirect
109. C₁₃×#479	C₂²	semidirect
110. C₁₃×#479	C₂²	semidirect
111. C₁₃×#479	C₂²	semidirect
112. C₁₃×#479	C₂²	semidirect
113. C₁₃×#479	C₂²	semidirect
114. C₁₃×#479	C₂²	semidirect
115. C₁₃×#479	C₂²	semidirect
116. C₁₃×#479	C₂²	semidirect
119. C₁₃×#478	C₂²	semidirect
120. C₁₃×#478	C₂²	semidirect
121. C₁₃×#477	C₂²	semidirect
123. C₁₃×#475	C₂²	semidirect
125. C₁₃×#470	C₂²	semidirect
126. C₁₃×#470	C₂²	semidirect
127. C₁₃×#470	C₂²	semidirect
132. C₁₃×#468	C₂²	semidirect
133. C₁₃×#467	C₂²	semidirect
134. C₁₃×#467	C₂²	semidirect
135. C₁₃×#467	C₂²	semidirect
140. C₁₃×#465	C₂²	semidirect
147. C₁₃×#464	C₂²	semidirect
148. C₁₃×#464	C₂²	semidirect
153. C₁₃×#462	C₂²	semidirect
154. C₁₃×#462	C₂²	semidirect
157. C₁₃×#452	C₂²	semidirect
158. C₁₃×#452	C₂²	semidirect
162. C₁₃×#451	C₂²	semidirect
163. C₁₃×#451	C₂²	semidirect
174. C₁₃×#441	C₂²	semidirect
175. C₁₃×#441	C₂²	semidirect
176. C₁₃×#441	C₂²	semidirect
180. C₁₃×#440	C₂²	semidirect
181. C₄×C₁₃×Q₁₆	C₂²	semidirect
182. C₄×C₁₃×Q₁₆	C₂²	semidirect
183. C₄×C₁₃×Q₁₆	C₂²	semidirect
187. C₄×C₁₃×SD₁₆	C₂²	semidirect
191. C₁₃×#433	C₂²	semidirect
192. C₁₃×#433	C₂²	semidirect
194. C₁₃×#432	C₂²	semidirect
196. C₁₃×#431	C₂²	semidirect
197. C₁₃×#423	C₂²	semidirect
198. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
201. C₁₃×#405	C₂²	semidirect
202. C₁₃×#405	C₂²	semidirect
478. #60996	C₁₃	direct (N × H)
680. #3510	C₂×C₁₃	semidirect
681. #3461	C₂×C₁₃	semidirect
682. #3256	C₂×C₁₃	semidirect
683. #3252	C₂×C₁₃	semidirect
684. #3250	C₂×C₁₃	semidirect
685. #3248	C₂×C₁₃	semidirect
686. #3244	C₂×C₁₃	semidirect
687. #3243	C₂×C₁₃	semidirect
688. #3240	C₂×C₁₃	semidirect
689. #3231	C₂×C₁₃	semidirect
690. #3225	C₂×C₁₃	semidirect
691. #3225	C₂×C₁₃	semidirect
692. #3215	C₂×C₁₃	semidirect
693. #3211	C₂×C₁₃	semidirect
694. #3202	C₂×C₁₃	semidirect
695. #3201	C₂×C₁₃	semidirect
696. #3200	C₂×C₁₃	semidirect
698. #3178	C₂×C₁₃	semidirect
699. #3178	C₂×C₁₃	semidirect
700. #3175	C₂×C₁₃	semidirect
701. #3173	C₂×C₁₃	semidirect
702. #3127	C₂×C₁₃	semidirect
703. #3123	C₂×C₁₃	semidirect
704. #3121	C₂×C₁₃	semidirect
705. #3118	C₂×C₁₃	semidirect
706. #3117	C₂×C₁₃	semidirect
707. #3111	C₂×C₁₃	semidirect
708. #3108	C₂×C₁₃	semidirect
709. #3102	C₂×C₁₃	semidirect
710. #2925	C₂×C₁₃	semidirect
817. #544	C₂²×C₁₃	semidirect
824. #542	C₂²×C₁₃	semidirect
827. #541	C₂²×C₁₃	semidirect
833. #536	C₂²×C₁₃	semidirect
838. #533	C₂²×C₁₃	semidirect
847. #529	C₂²×C₁₃	semidirect
852. C₄×#41	C₂²×C₁₃	semidirect
853. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
854. #501	C₂²×C₁₃	semidirect
855. #501	C₂²×C₁₃	semidirect
856. #500	C₂²×C₁₃	semidirect
857. #498	C₂²×C₁₃	semidirect
864. #489	C₂²×C₁₃	semidirect
865. #489	C₂²×C₁₃	semidirect
868. #487	C₂²×C₁₃	semidirect
869. #487	C₂²×C₁₃	semidirect
876. #485	C₂²×C₁₃	semidirect
877. #485	C₂²×C₁₃	semidirect
878. #484	C₂²×C₁₃	semidirect
879. #483	C₂²×C₁₃	semidirect
886. #479	C₂²×C₁₃	semidirect
887. #479	C₂²×C₁₃	semidirect
888. #479	C₂²×C₁₃	semidirect
889. #479	C₂²×C₁₃	semidirect
890. #479	C₂²×C₁₃	semidirect
891. #479	C₂²×C₁₃	semidirect
892. #479	C₂²×C₁₃	semidirect
893. #479	C₂²×C₁₃	semidirect
896. #478	C₂²×C₁₃	semidirect
897. #478	C₂²×C₁₃	semidirect
898. #477	C₂²×C₁₃	semidirect
900. #475	C₂²×C₁₃	semidirect
902. #470	C₂²×C₁₃	semidirect
903. #470	C₂²×C₁₃	semidirect
904. #470	C₂²×C₁₃	semidirect
909. #468	C₂²×C₁₃	semidirect
910. #467	C₂²×C₁₃	semidirect
911. #467	C₂²×C₁₃	semidirect
912. #467	C₂²×C₁₃	semidirect
917. #465	C₂²×C₁₃	semidirect
924. #464	C₂²×C₁₃	semidirect
925. #464	C₂²×C₁₃	semidirect
930. #462	C₂²×C₁₃	semidirect
931. #462	C₂²×C₁₃	semidirect
934. #452	C₂²×C₁₃	semidirect
935. #452	C₂²×C₁₃	semidirect
939. #451	C₂²×C₁₃	semidirect
940. #451	C₂²×C₁₃	semidirect
951. #441	C₂²×C₁₃	semidirect
952. #441	C₂²×C₁₃	semidirect
953. #441	C₂²×C₁₃	semidirect
957. #440	C₂²×C₁₃	semidirect
958. C₄×Q₁₆	C₂²×C₁₃	semidirect
959. C₄×Q₁₆	C₂²×C₁₃	semidirect
960. C₄×Q₁₆	C₂²×C₁₃	semidirect
964. C₄×SD₁₆	C₂²×C₁₃	semidirect
968. #433	C₂²×C₁₃	semidirect
969. #433	C₂²×C₁₃	semidirect
971. #432	C₂²×C₁₃	semidirect
973. #431	C₂²×C₁₃	semidirect
974. #423	C₂²×C₁₃	semidirect
975. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
978. #405	C₂²×C₁₃	semidirect
979. #405	C₂²×C₁₃	semidirect
1511. C₁₃	#60996	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×#3510	2
C₁₃×#3461	2
C₁₃×#3256	2
C₁₃×#3252	2
C₁₃×#3250	2
C₁₃×#3248	2
C₁₃×#3244	2
C₁₃×#3243	2
C₁₃×#3240	2
C₁₃×#3231	2
C₁₃×#3225	2
C₁₃×#3215	2
C₁₃×#3211	2
C₁₃×#3202	2
C₁₃×#3201	2
C₁₃×#3200	2
C₁₃×#3198	2
C₁₃×#3178	2
C₁₃×#3175	2
C₁₃×#3173	2
C₁₃×#3127	2
C₁₃×#3123	2
C₁₃×#3121	2
C₁₃×#3118	2
C₁₃×#3117	2
C₁₃×#3111	2
C₁₃×#3108	2
C₁₃×#3102	2
C₁₃×#2925	2
#60996	13

Subgroups — C13×#60996 #15747335

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60996 #15747335