Subgroups — C₁₃×#62171 #15748510

Order 3328.

1708 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×#3547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3521	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3389	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3384	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3350	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3348	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3347	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3343	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3340	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3339	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3319	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3319	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3307	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3260	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3244	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3242	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3122	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3083	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#562	—	2	1	no	—
33	C₁₃×#562	—	2	1	no	—
34	C₁₃×#556	C₂²	1	1	yes	characteristic
35	C₁₃×#556	C₂²	1	1	yes	characteristic
36	C₁₃×#555	C₂²	1	1	yes	characteristic
37	C₁₃×#555	C₂²	1	1	yes	characteristic
38	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#554	C₂²	1	1	yes	characteristic
40	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#553	—	2	1	no	—
42	C₁₃×#553	C₂²	1	1	yes	characteristic
43	C₁₃×#553	C₂²	1	1	yes	characteristic
44	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#552	—	2	1	no	—
46	C₁₃×#552	—	2	1	no	—
47	C₁₃×#552	C₂²	1	1	yes	characteristic
48	C₁₃×#551	—	2	1	no	—
49	C₁₃×#551	—	2	1	no	—
50	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#548	—	2	1	no	—
52	C₁₃×#547	C₂²	1	1	yes	characteristic
53	C₁₃×#547	C₂²	1	1	yes	characteristic
54	C₁₃×#546	C₂²	1	1	yes	characteristic
55	C₁₃×#546	C₂²	1	1	yes	characteristic
56	C₁₃×#544	C₂²	1	1	yes	characteristic
57	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#542	—	2	1	no	—
59	C₁₃×#542	—	2	1	no	—
60	C₁₃×#542	C₂²	1	1	yes	characteristic
61	C₁₃×#541	C₂²	1	1	yes	characteristic
62	C₁₃×#540	C₂²	1	1	yes	characteristic
63	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#539	—	2	1	no	—
65	C₁₃×#538	—	2	1	no	—
66	C₁₃×#537	—	2	1	no	—
67	C₁₃×#536	—	2	1	no	—
68	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#529	—	2	1	no	—
71	C₁₃×#529	C₂²	1	1	yes	characteristic
72	C₁₃×#529	C₂²	1	1	yes	characteristic
73	C₂×C₁₃×#126	—	2	1	no	—
74	C₁₃×#520	C₂²	1	1	yes	characteristic
75	C₁₃×#518	C₂²	1	1	yes	characteristic
76	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
77	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#489	C₂²	1	1	yes	characteristic
85	C₁₃×#489	C₂²	1	1	yes	characteristic
86	C₁₃×#489	C₂²	1	1	yes	characteristic
87	C₁₃×#488	C₂²	1	1	yes	characteristic
88	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#485	C₂²	1	1	yes	characteristic
90	C₁₃×#485	C₂²	1	1	yes	characteristic
91	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#484	C₂²	1	1	yes	characteristic
95	C₁₃×#483	C₂²	1	1	yes	characteristic
96	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#482	C₂²	1	1	yes	characteristic
98	C₁₃×#482	C₂²	1	1	yes	characteristic
99	C₁₃×#482	C₂²	1	1	yes	characteristic
100	C₁₃×#482	C₂²	1	1	yes	characteristic
101	C₁₃×#482	C₂²	1	1	yes	characteristic
102	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#481	C₂²	1	1	yes	characteristic
105	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
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×#478	C₂²	1	1	yes	characteristic
113	C₁₃×#478	C₂²	1	1	yes	characteristic
114	C₁₃×#478	C₂²	1	1	yes	characteristic
115	C₁₃×#478	C₂²	1	1	yes	characteristic
116	C₁₃×#478	C₂²	1	1	yes	characteristic
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×#478	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#476	C₂²	1	1	yes	characteristic
127	C₁₃×#476	C₂²	1	1	yes	characteristic
128	C₁₃×#476	C₂²	1	1	yes	characteristic
129	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#474	C₂²	1	1	yes	characteristic
133	C₁₃×#474	C₂²	1	1	yes	characteristic
134	C₁₃×#474	C₂²	1	1	yes	characteristic
135	C₁₃×#474	C₂²	1	1	yes	characteristic
136	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#469	C₂²	1	1	yes	characteristic
138	C₁₃×#468	C₂²	1	1	yes	characteristic
139	C₁₃×#468	C₂²	1	1	yes	characteristic
140	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#466	C₂²	1	1	yes	characteristic
142	C₁₃×#466	C₂²	1	1	yes	characteristic
143	C₁₃×#466	C₂²	1	1	yes	characteristic
144	C₁₃×#465	C₂²	1	1	yes	characteristic
145	C₁₃×#465	C₂²	1	1	yes	characteristic
146	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
147	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#465	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×#461	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#459	C₂²	1	1	yes	characteristic
158	C₁₃×#459	C₂²	1	1	yes	characteristic
159	C₁₃×#449	C₂²	1	1	yes	characteristic
160	C₁₃×#449	C₂²	1	1	yes	characteristic
161	C₁₃×#449	C₂²	1	1	yes	characteristic
162	C₁₃×#449	C₂²	1	1	yes	characteristic
163	C₁₃×#447	C₂²	1	1	yes	characteristic
164	C₁₃×#447	C₂²	1	1	yes	characteristic
165	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#442	C₂²	1	1	yes	characteristic
168	C₁₃×#442	C₂²	1	1	yes	characteristic
169	C₁₃×#442	C₂²	1	1	yes	characteristic
170	C₁₃×#442	C₂²	1	1	yes	characteristic
171	C₁₃×#442	C₂²	1	1	yes	characteristic
172	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
173	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
174	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
178	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
179	C₁₃×#435	C₂²	1	1	yes	characteristic
180	C₁₃×#435	C₂²	1	1	yes	characteristic
181	C₁₃×#435	C₂²	1	1	yes	characteristic
182	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
183	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
185	C₁₃×#433	C₂²	1	1	yes	characteristic
186	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
187	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
188	C₁₃×#428	C₂²	1	1	yes	characteristic
189	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
190	C₁₃×#427	C₂²	1	1	yes	characteristic
191	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
192	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic, complemented
194	C₁₃×#424	C₂²	1	1	yes	characteristic
195	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₁₃×#418	C₂²	1	1	yes	characteristic
198	C₁₃×#417	C₂²	1	1	yes	characteristic
199	C₁₃×#416	C₂²	1	1	yes	characteristic
200	C₁₃×#416	C₂²	1	1	yes	characteristic
201	C₁₃×#416	C₂²	1	1	yes	characteristic
202	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₃	—	2	1	no	—
208	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
219	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₁₃×C₄⋊Q₈	—	2	1	no	—
224	C₁₃×C₄⋊Q₈	—	2	1	no	—
225	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
230	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₁₃×#127	C₂³	1	1	yes	characteristic
233	C₁₃×#126	—	2	1	no	—
234	C₁₃×#126	—	2	1	no	—
235	C₁₃×#126	—	2	1	no	—
236	C₁₃×#126	—	2	1	no	—
237	C₁₃×#126	—	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	D₄	1	1	yes	characteristic
246	C₁₃×#126	D₄	1	1	yes	characteristic
247	C₁₃×#125	—	2	1	no	—
248	C₁₃×#125	—	2	1	no	—
249	C₁₃×#125	—	2	1	no	—
250	C₁₃×#125	—	2	1	no	—
251	C₁₃×#125	—	2	1	no	—
252	C₁₃×#125	D₄	1	1	yes	characteristic
253	C₁₃×#125	C₂³	1	1	yes	characteristic
254	C₁₃×#125	C₂³	1	1	yes	characteristic
255	C₁₃×#125	C₂³	1	1	yes	characteristic
256	C₁₃×#125	C₂³	1	1	yes	characteristic
257	C₁₃×#125	C₂³	1	1	yes	characteristic
258	C₁₃×#125	C₂³	1	1	yes	characteristic
259	C₁₃×#124	—	2	1	no	—
260	C₁₃×#124	—	2	1	no	—
261	C₁₃×#124	—	2	1	no	—
262	C₁₃×#124	—	2	1	no	—
263	C₁₃×#124	—	2	1	no	—
264	C₁₃×#124	—	2	1	no	—
265	C₁₃×#124	—	2	1	no	—
266	C₁₃×#124	—	2	1	no	—
267	C₁₃×#124	—	2	1	no	—
268	C₁₃×#124	D₄	1	1	yes	characteristic
269	C₁₃×#124	C₂³	1	1	yes	characteristic
270	C₁₃×#124	C₂³	1	1	yes	characteristic
271	C₁₃×#123	—	2	1	no	—
272	C₁₃×#123	—	2	1	no	—
273	C₁₃×#123	—	2	1	no	—
274	C₁₃×#123	—	2	1	no	—
275	C₁₃×#123	—	2	1	no	—
276	C₁₃×#123	—	2	1	no	—
277	C₁₃×#123	—	2	1	no	—
278	C₁₃×#123	—	2	1	no	—
279	C₁₃×#123	—	2	1	no	—
280	C₁₃×#123	—	2	1	no	—
281	C₁₃×#123	—	2	1	no	—
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	D₄	1	1	yes	characteristic
288	C₁₃×#123	D₄	1	1	yes	characteristic
289	C₁₃×C₂²⋊Q₈	—	2	1	no	—
290	C₁₃×C₂²⋊Q₈	—	2	1	no	—
291	C₁₃×C₂²⋊Q₈	—	2	1	no	—
292	C₁₃×C₂²⋊Q₈	—	2	1	no	—
293	C₁₃×C₂²⋊Q₈	—	2	1	no	—
294	C₁₃×C₂²⋊Q₈	—	2	1	no	—
295	C₁₃×C₂²⋊Q₈	—	2	1	no	—
296	C₁₃×C₂²⋊Q₈	—	2	1	no	—
297	C₁₃×C₂²⋊Q₈	—	2	1	no	—
298	C₁₃×C₂²⋊Q₈	—	2	1	no	—
299	C₁₃×C₂²⋊Q₈	—	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	D₄	1	1	yes	characteristic
308	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
311	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
312	C₁₃×#121	—	2	1	no	—
313	C₁₃×#121	—	2	1	no	—
314	C₁₃×#121	—	2	1	no	—
315	C₁₃×#121	—	2	1	no	—
316	C₁₃×#121	—	2	1	no	—
317	C₁₃×#121	—	2	1	no	—
318	C₁₃×#121	—	2	1	no	—
319	C₁₃×#121	—	2	1	no	—
320	C₁₃×#121	—	2	1	no	—
321	C₁₃×#121	—	2	1	no	—
322	C₁₃×#121	—	2	1	no	—
323	C₁₃×#121	—	2	1	no	—
324	C₁₃×#121	—	2	1	no	—
325	C₁₃×#121	—	2	1	no	—
326	C₁₃×#121	D₄	1	1	yes	characteristic
327	C₁₃×#121	C₂³	1	1	yes	characteristic
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×#121	C₂³	1	1	yes	characteristic
335	C₁₃×#120	—	2	1	no	—
336	C₁₃×#120	—	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	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
345	C₄×D₄×C₁₃	—	2	1	no	—
346	C₄×D₄×C₁₃	—	2	1	no	—
347	C₄×D₄×C₁₃	—	2	1	no	—
348	C₄×D₄×C₁₃	—	2	1	no	—
349	C₄×D₄×C₁₃	—	2	1	no	—
350	C₄×D₄×C₁₃	—	2	1	no	—
351	C₄×D₄×C₁₃	—	2	1	no	—
352	C₄×D₄×C₁₃	—	2	1	no	—
353	C₄×D₄×C₁₃	—	2	1	no	—
354	C₄×D₄×C₁₃	—	2	1	no	—
355	C₄×D₄×C₁₃	—	2	1	no	—
356	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
357	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
358	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
361	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
362	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
371	C₁₃×#117	—	2	1	no	—
372	C₁₃×#117	—	2	1	no	—
373	C₁₃×#117	—	2	1	no	—
374	C₁₃×#117	—	2	1	no	—
375	C₁₃×#117	—	2	1	no	—
376	C₁₃×#117	—	2	1	no	—
377	C₁₃×#117	—	2	1	no	—
378	C₁₃×#117	—	2	1	no	—
379	C₁₃×#117	C₂³	1	1	yes	characteristic
380	C₁₃×#117	C₂³	1	1	yes	characteristic
381	C₁₃×#117	C₂³	1	1	yes	characteristic
382	C₁₃×#117	C₂³	1	1	yes	characteristic
383	C₁₃×#117	C₂³	1	1	yes	characteristic
384	C₁₃×#117	C₂³	1	1	yes	characteristic
385	C₁₃×#117	C₂³	1	1	yes	characteristic
386	C₁₃×#117	C₂³	1	1	yes	characteristic
387	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
391	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
392	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
393	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
394	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
395	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
396	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
397	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
398	C₂×C₄²×C₁₃	—	2	1	no	—
399	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
400	C₁₃×#107	C₂³	1	1	yes	characteristic
401	C₁₃×#107	C₂³	1	1	yes	characteristic
402	C₁₃×#107	C₂³	1	1	yes	characteristic
403	C₁₃×#107	C₂³	1	1	yes	characteristic
404	C₁₃×#107	C₂³	1	1	yes	characteristic
405	C₁₃×#107	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×#106	C₂³	1	1	yes	characteristic
413	C₁₃×#106	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×#106	C₂³	1	1	yes	characteristic
423	C₁₃×#106	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₃×C₄⋊C₈	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×#102	C₂³	1	1	yes	characteristic
447	C₁₃×#102	C₂³	1	1	yes	characteristic
448	C₁₃×#102	C₂³	1	1	yes	characteristic
449	C₁₃×#102	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×#102	C₂³	1	1	yes	characteristic
463	C₁₃×#102	C₂³	1	1	yes	characteristic
464	C₁₃×#102	C₂³	1	1	yes	characteristic
465	C₁₃×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
472	C₁₃×#97	C₂³	1	1	yes	characteristic
473	C₁₃×#97	C₂³	1	1	yes	characteristic
474	C₁₃×#97	C₂³	1	1	yes	characteristic
475	C₁₃×#97	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	#62171	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₂⁴×C₁₃	—	2	1	no	—
480	C₁₃×#41	—	2	2	no	—
481	C₁₃×#41	—	2	2	no	—
482	C₁₃×#41	—	4	1	no	—
483	C₁₃×#41	—	4	1	no	—
484	C₁₃×#41	—	8	2	no	—
485	C₁₃×#41	—	8	2	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	—	2	1	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	—	8	2	no	—
493	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₁₃	—	2	2	no	—
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	4	1	no	—
511	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
512	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
527	C₂²×C₄×C₁₃	—	2	1	no	—
528	C₂²×C₄×C₁₃	—	2	1	no	—
529	C₂²×C₄×C₁₃	—	2	1	no	—
530	C₂²×C₄×C₁₃	—	2	1	no	—
531	C₂²×C₄×C₁₃	—	2	1	no	—
532	C₂²×C₄×C₁₃	—	2	1	no	—
533	C₂²×C₄×C₁₃	—	2	1	no	—
534	C₂²×C₄×C₁₃	—	2	1	no	—
535	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
536	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
540	C₁₃×SD₁₆	—	4	1	no	—
541	C₁₃×SD₁₆	—	4	1	no	—
542	C₁₃×SD₁₆	—	4	1	no	—
543	C₁₃×SD₁₆	—	4	1	no	—
544	C₁₃×D₈	—	2	2	no	—
545	C₁₃×D₈	—	2	2	no	—
546	C₁₃×D₈	—	4	1	no	—
547	C₁₃×D₈	—	4	1	no	—
548	C₁₃×M₁₆	—	4	1	no	—
549	C₁₃×M₁₆	—	4	1	no	—
550	C₂×C₈×C₁₃	—	4	1	no	—
551	C₂×C₈×C₁₃	—	4	1	no	—
552	C₂×C₈×C₁₃	—	4	1	no	—
553	C₂×C₈×C₁₃	—	4	1	no	—
554	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₁₃×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
594	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
604	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₁₃×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
648	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
669	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
670	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
671	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
672	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
673	#3547	C₂×C₁₃	1	1	yes	characteristic, complemented
674	#3521	C₂×C₁₃	1	1	yes	characteristic, complemented
675	#3389	C₂×C₁₃	1	1	yes	characteristic, complemented
676	#3384	C₂×C₁₃	1	1	yes	characteristic, complemented
677	#3376	C₂×C₁₃	1	1	yes	characteristic, complemented
678	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
679	#3350	C₂×C₁₃	1	1	yes	characteristic, complemented
680	#3348	C₂×C₁₃	1	1	yes	characteristic, complemented
681	#3347	C₂×C₁₃	1	1	yes	characteristic, complemented
682	#3343	C₂×C₁₃	1	1	yes	characteristic, complemented
683	#3340	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3339	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3319	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3319	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3307	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3306	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3303	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3297	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3260	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3257	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3244	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3242	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3240	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3122	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3119	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3083	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
702	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#2992	C₂×C₁₃	1	1	yes	characteristic, complemented
704	C₂³×C₁₃	—	2	1	no	—
705	C₂³×C₁₃	—	2	1	no	—
706	C₂³×C₁₃	—	2	1	no	—
707	C₂³×C₁₃	—	2	1	no	—
708	C₂³×C₁₃	—	4	2	no	—
709	C₂³×C₁₃	—	8	1	no	—
710	C₂³×C₁₃	—	8	1	no	—
711	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
712	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
713	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
714	Q₈×C₁₃	—	2	1	no	—
715	Q₈×C₁₃	—	2	1	no	—
716	Q₈×C₁₃	—	2	1	no	—
717	Q₈×C₁₃	—	2	1	no	—
718	Q₈×C₁₃	—	4	1	no	—
719	Q₈×C₁₃	—	4	2	no	—
720	Q₈×C₁₃	—	8	1	no	—
721	Q₈×C₁₃	—	8	1	no	—
722	Q₈×C₁₃	—	8	1	no	—
723	Q₈×C₁₃	—	8	1	no	—
724	Q₈×C₁₃	—	8	1	no	—
725	D₄×C₁₃	—	2	1	no	—
726	D₄×C₁₃	—	2	1	no	—
727	D₄×C₁₃	—	2	1	no	—
728	D₄×C₁₃	—	2	1	no	—
729	D₄×C₁₃	—	2	1	no	—
730	D₄×C₁₃	—	2	1	no	—
731	D₄×C₁₃	—	2	1	no	—
732	D₄×C₁₃	—	4	1	no	—
733	D₄×C₁₃	—	4	1	no	—
734	D₄×C₁₃	—	4	1	no	—
735	D₄×C₁₃	—	4	2	no	—
736	D₄×C₁₃	—	4	2	no	—
737	D₄×C₁₃	—	4	2	no	—
738	D₄×C₁₃	—	8	1	no	—
739	D₄×C₁₃	—	8	1	no	—
740	D₄×C₁₃	—	8	1	no	—
741	D₄×C₁₃	—	8	1	no	—
742	D₄×C₁₃	—	8	1	no	—
743	D₄×C₁₃	—	8	1	no	—
744	D₄×C₁₃	—	8	1	no	—
745	D₄×C₁₃	—	8	1	no	—
746	D₄×C₁₃	—	8	1	no	—
747	D₄×C₁₃	—	8	1	no	—
748	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	2	1	no	—
751	C₂×C₄×C₁₃	—	2	1	no	—
752	C₂×C₄×C₁₃	—	2	1	no	—
753	C₂×C₄×C₁₃	—	2	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	—	4	1	no	—
768	C₂×C₄×C₁₃	—	4	1	no	—
769	C₂×C₄×C₁₃	—	4	2	no	—
770	C₂×C₄×C₁₃	—	4	2	no	—
771	C₂×C₄×C₁₃	—	4	2	no	—
772	C₂×C₄×C₁₃	—	4	2	no	—
773	C₂×C₄×C₁₃	—	8	1	no	—
774	C₂×C₄×C₁₃	—	8	1	no	—
775	C₂×C₄×C₁₃	—	8	1	no	—
776	C₂×C₄×C₁₃	—	8	1	no	—
777	C₂×C₄×C₁₃	—	8	1	no	—
778	C₂×C₄×C₁₃	—	8	1	no	—
779	C₂×C₄×C₁₃	—	8	1	no	—
780	C₂×C₄×C₁₃	—	8	1	no	—
781	C₂×C₄×C₁₃	—	8	1	no	—
782	C₂×C₄×C₁₃	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
798	C₈×C₁₃	—	2	1	no	—
799	C₈×C₁₃	—	2	1	no	—
800	C₈×C₁₃	—	2	1	no	—
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	#562	—	2	1	no	—
807	#562	—	2	1	no	—
808	#556	C₂²×C₁₃	1	1	yes	characteristic
809	#556	C₂²×C₁₃	1	1	yes	characteristic
810	#555	C₂²×C₁₃	1	1	yes	characteristic
811	#555	C₂²×C₁₃	1	1	yes	characteristic
812	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
813	#554	C₂²×C₁₃	1	1	yes	characteristic
814	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
815	#553	—	2	1	no	—
816	#553	C₂²×C₁₃	1	1	yes	characteristic
817	#553	C₂²×C₁₃	1	1	yes	characteristic
818	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
819	#552	—	2	1	no	—
820	#552	—	2	1	no	—
821	#552	C₂²×C₁₃	1	1	yes	characteristic
822	#551	—	2	1	no	—
823	#551	—	2	1	no	—
824	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
825	#548	—	2	1	no	—
826	#547	C₂²×C₁₃	1	1	yes	characteristic
827	#547	C₂²×C₁₃	1	1	yes	characteristic
828	#546	C₂²×C₁₃	1	1	yes	characteristic
829	#546	C₂²×C₁₃	1	1	yes	characteristic
830	#544	C₂²×C₁₃	1	1	yes	characteristic
831	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
832	#542	—	2	1	no	—
833	#542	—	2	1	no	—
834	#542	C₂²×C₁₃	1	1	yes	characteristic
835	#541	C₂²×C₁₃	1	1	yes	characteristic
836	#540	C₂²×C₁₃	1	1	yes	characteristic
837	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
838	#539	—	2	1	no	—
839	#538	—	2	1	no	—
840	#537	—	2	1	no	—
841	#536	—	2	1	no	—
842	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
843	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
844	#529	—	2	1	no	—
845	#529	C₂²×C₁₃	1	1	yes	characteristic
846	#529	C₂²×C₁₃	1	1	yes	characteristic
847	C₂×#126	—	2	1	no	—
848	#520	C₂²×C₁₃	1	1	yes	characteristic
849	#518	C₂²×C₁₃	1	1	yes	characteristic
850	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
851	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
852	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
854	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
855	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
858	#489	C₂²×C₁₃	1	1	yes	characteristic
859	#489	C₂²×C₁₃	1	1	yes	characteristic
860	#489	C₂²×C₁₃	1	1	yes	characteristic
861	#488	C₂²×C₁₃	1	1	yes	characteristic
862	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
863	#485	C₂²×C₁₃	1	1	yes	characteristic
864	#485	C₂²×C₁₃	1	1	yes	characteristic
865	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
866	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
867	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
868	#484	C₂²×C₁₃	1	1	yes	characteristic
869	#483	C₂²×C₁₃	1	1	yes	characteristic
870	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
871	#482	C₂²×C₁₃	1	1	yes	characteristic
872	#482	C₂²×C₁₃	1	1	yes	characteristic
873	#482	C₂²×C₁₃	1	1	yes	characteristic
874	#482	C₂²×C₁₃	1	1	yes	characteristic
875	#482	C₂²×C₁₃	1	1	yes	characteristic
876	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
877	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
878	#481	C₂²×C₁₃	1	1	yes	characteristic
879	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
880	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
881	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
882	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
883	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
884	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
885	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
886	#478	C₂²×C₁₃	1	1	yes	characteristic
887	#478	C₂²×C₁₃	1	1	yes	characteristic
888	#478	C₂²×C₁₃	1	1	yes	characteristic
889	#478	C₂²×C₁₃	1	1	yes	characteristic
890	#478	C₂²×C₁₃	1	1	yes	characteristic
891	#478	C₂²×C₁₃	1	1	yes	characteristic
892	#478	C₂²×C₁₃	1	1	yes	characteristic
893	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
894	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
895	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
896	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
897	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
898	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
900	#476	C₂²×C₁₃	1	1	yes	characteristic
901	#476	C₂²×C₁₃	1	1	yes	characteristic
902	#476	C₂²×C₁₃	1	1	yes	characteristic
903	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
904	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
905	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
906	#474	C₂²×C₁₃	1	1	yes	characteristic
907	#474	C₂²×C₁₃	1	1	yes	characteristic
908	#474	C₂²×C₁₃	1	1	yes	characteristic
909	#474	C₂²×C₁₃	1	1	yes	characteristic
910	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#469	C₂²×C₁₃	1	1	yes	characteristic
912	#468	C₂²×C₁₃	1	1	yes	characteristic
913	#468	C₂²×C₁₃	1	1	yes	characteristic
914	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	#466	C₂²×C₁₃	1	1	yes	characteristic
916	#466	C₂²×C₁₃	1	1	yes	characteristic
917	#466	C₂²×C₁₃	1	1	yes	characteristic
918	#465	C₂²×C₁₃	1	1	yes	characteristic
919	#465	C₂²×C₁₃	1	1	yes	characteristic
920	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
921	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
922	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
923	#463	C₂²×C₁₃	1	1	yes	characteristic
924	#463	C₂²×C₁₃	1	1	yes	characteristic
925	#463	C₂²×C₁₃	1	1	yes	characteristic
926	#463	C₂²×C₁₃	1	1	yes	characteristic
927	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
929	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
930	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	#459	C₂²×C₁₃	1	1	yes	characteristic
932	#459	C₂²×C₁₃	1	1	yes	characteristic
933	#449	C₂²×C₁₃	1	1	yes	characteristic
934	#449	C₂²×C₁₃	1	1	yes	characteristic
935	#449	C₂²×C₁₃	1	1	yes	characteristic
936	#449	C₂²×C₁₃	1	1	yes	characteristic
937	#447	C₂²×C₁₃	1	1	yes	characteristic
938	#447	C₂²×C₁₃	1	1	yes	characteristic
939	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
940	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
941	#442	C₂²×C₁₃	1	1	yes	characteristic
942	#442	C₂²×C₁₃	1	1	yes	characteristic
943	#442	C₂²×C₁₃	1	1	yes	characteristic
944	#442	C₂²×C₁₃	1	1	yes	characteristic
945	#442	C₂²×C₁₃	1	1	yes	characteristic
946	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
948	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
949	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
950	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
951	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
952	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
953	#435	C₂²×C₁₃	1	1	yes	characteristic
954	#435	C₂²×C₁₃	1	1	yes	characteristic
955	#435	C₂²×C₁₃	1	1	yes	characteristic
956	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
957	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
958	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
959	#433	C₂²×C₁₃	1	1	yes	characteristic
960	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
962	#428	C₂²×C₁₃	1	1	yes	characteristic
963	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
964	#427	C₂²×C₁₃	1	1	yes	characteristic
965	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic, complemented
968	#424	C₂²×C₁₃	1	1	yes	characteristic
969	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	#418	C₂²×C₁₃	1	1	yes	characteristic
972	#417	C₂²×C₁₃	1	1	yes	characteristic
973	#416	C₂²×C₁₃	1	1	yes	characteristic
974	#416	C₂²×C₁₃	1	1	yes	characteristic
975	#416	C₂²×C₁₃	1	1	yes	characteristic
976	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
977	C₂²×C₁₃	—	2	1	no	—
978	C₂²×C₁₃	—	2	1	no	—
979	C₂²×C₁₃	—	2	1	no	—
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	2	no	—
987	C₂²×C₁₃	—	4	1	no	—
988	C₂²×C₁₃	—	4	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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1024	C₄×C₁₃	#585	1	1	yes	characteristic
1025	C₂×#41	—	2	1	no	—
1026	C₂×#41	—	2	1	no	—
1027	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1028	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂²×Q₈	—	2	1	no	—
1030	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1031	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1032	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1035	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1043	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1045	C₄⋊Q₈	—	2	1	no	—
1046	C₄⋊Q₈	—	2	1	no	—
1047	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1048	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1049	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1050	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1051	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1052	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1053	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1054	#127	C₂³×C₁₃	1	1	yes	characteristic
1055	#126	—	2	1	no	—
1056	#126	—	2	1	no	—
1057	#126	—	2	1	no	—
1058	#126	—	2	1	no	—
1059	#126	—	2	1	no	—
1060	#126	—	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	D₄×C₁₃	1	1	yes	characteristic
1068	#126	D₄×C₁₃	1	1	yes	characteristic
1069	#125	—	2	1	no	—
1070	#125	—	2	1	no	—
1071	#125	—	2	1	no	—
1072	#125	—	2	1	no	—
1073	#125	—	2	1	no	—
1074	#125	D₄×C₁₃	1	1	yes	characteristic
1075	#125	C₂³×C₁₃	1	1	yes	characteristic
1076	#125	C₂³×C₁₃	1	1	yes	characteristic
1077	#125	C₂³×C₁₃	1	1	yes	characteristic
1078	#125	C₂³×C₁₃	1	1	yes	characteristic
1079	#125	C₂³×C₁₃	1	1	yes	characteristic
1080	#125	C₂³×C₁₃	1	1	yes	characteristic
1081	#124	—	2	1	no	—
1082	#124	—	2	1	no	—
1083	#124	—	2	1	no	—
1084	#124	—	2	1	no	—
1085	#124	—	2	1	no	—
1086	#124	—	2	1	no	—
1087	#124	—	2	1	no	—
1088	#124	—	2	1	no	—
1089	#124	—	2	1	no	—
1090	#124	D₄×C₁₃	1	1	yes	characteristic
1091	#124	C₂³×C₁₃	1	1	yes	characteristic
1092	#124	C₂³×C₁₃	1	1	yes	characteristic
1093	#123	—	2	1	no	—
1094	#123	—	2	1	no	—
1095	#123	—	2	1	no	—
1096	#123	—	2	1	no	—
1097	#123	—	2	1	no	—
1098	#123	—	2	1	no	—
1099	#123	—	2	1	no	—
1100	#123	—	2	1	no	—
1101	#123	—	2	1	no	—
1102	#123	—	2	1	no	—
1103	#123	—	2	1	no	—
1104	#123	—	2	1	no	—
1105	#123	—	2	1	no	—
1106	#123	—	2	1	no	—
1107	#123	—	2	1	no	—
1108	#123	—	2	1	no	—
1109	#123	D₄×C₁₃	1	1	yes	characteristic
1110	#123	D₄×C₁₃	1	1	yes	characteristic
1111	C₂²⋊Q₈	—	2	1	no	—
1112	C₂²⋊Q₈	—	2	1	no	—
1113	C₂²⋊Q₈	—	2	1	no	—
1114	C₂²⋊Q₈	—	2	1	no	—
1115	C₂²⋊Q₈	—	2	1	no	—
1116	C₂²⋊Q₈	—	2	1	no	—
1117	C₂²⋊Q₈	—	2	1	no	—
1118	C₂²⋊Q₈	—	2	1	no	—
1119	C₂²⋊Q₈	—	2	1	no	—
1120	C₂²⋊Q₈	—	2	1	no	—
1121	C₂²⋊Q₈	—	2	1	no	—
1122	C₂²⋊Q₈	—	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	D₄×C₁₃	1	1	yes	characteristic
1130	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1131	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1132	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1133	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1134	#121	—	2	1	no	—
1135	#121	—	2	1	no	—
1136	#121	—	2	1	no	—
1137	#121	—	2	1	no	—
1138	#121	—	2	1	no	—
1139	#121	—	2	1	no	—
1140	#121	—	2	1	no	—
1141	#121	—	2	1	no	—
1142	#121	—	2	1	no	—
1143	#121	—	2	1	no	—
1144	#121	—	2	1	no	—
1145	#121	—	2	1	no	—
1146	#121	—	2	1	no	—
1147	#121	—	2	1	no	—
1148	#121	D₄×C₁₃	1	1	yes	characteristic
1149	#121	C₂³×C₁₃	1	1	yes	characteristic
1150	#121	C₂³×C₁₃	1	1	yes	characteristic
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	C₂³×C₁₃	1	1	yes	characteristic
1163	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1164	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1165	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1166	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1167	C₄×D₄	—	2	1	no	—
1168	C₄×D₄	—	2	1	no	—
1169	C₄×D₄	—	2	1	no	—
1170	C₄×D₄	—	2	1	no	—
1171	C₄×D₄	—	2	1	no	—
1172	C₄×D₄	—	2	1	no	—
1173	C₄×D₄	—	2	1	no	—
1174	C₄×D₄	—	2	1	no	—
1175	C₄×D₄	—	2	1	no	—
1176	C₄×D₄	—	2	1	no	—
1177	C₄×D₄	—	2	1	no	—
1178	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1179	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1180	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1181	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1182	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1183	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1184	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1185	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1186	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1187	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1188	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1189	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1190	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1191	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1192	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1193	#117	—	2	1	no	—
1194	#117	—	2	1	no	—
1195	#117	—	2	1	no	—
1196	#117	—	2	1	no	—
1197	#117	—	2	1	no	—
1198	#117	—	2	1	no	—
1199	#117	—	2	1	no	—
1200	#117	—	2	1	no	—
1201	#117	C₂³×C₁₃	1	1	yes	characteristic
1202	#117	C₂³×C₁₃	1	1	yes	characteristic
1203	#117	C₂³×C₁₃	1	1	yes	characteristic
1204	#117	C₂³×C₁₃	1	1	yes	characteristic
1205	#117	C₂³×C₁₃	1	1	yes	characteristic
1206	#117	C₂³×C₁₃	1	1	yes	characteristic
1207	#117	C₂³×C₁₃	1	1	yes	characteristic
1208	#117	C₂³×C₁₃	1	1	yes	characteristic
1209	C₂×C₄⋊C₄	—	2	1	no	—
1210	C₂×C₄⋊C₄	—	2	1	no	—
1211	C₂×C₄⋊C₄	—	2	1	no	—
1212	C₂×C₄⋊C₄	—	2	1	no	—
1213	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1214	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1215	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1216	C₂×C₂²⋊C₄	—	2	1	no	—
1217	C₂×C₂²⋊C₄	—	2	1	no	—
1218	C₂×C₂²⋊C₄	—	2	1	no	—
1219	C₂×C₂²⋊C₄	—	2	1	no	—
1220	C₂×C₄²	—	2	1	no	—
1221	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1222	#107	C₂³×C₁₃	1	1	yes	characteristic
1223	#107	C₂³×C₁₃	1	1	yes	characteristic
1224	#107	C₂³×C₁₃	1	1	yes	characteristic
1225	#107	C₂³×C₁₃	1	1	yes	characteristic
1226	#107	C₂³×C₁₃	1	1	yes	characteristic
1227	#107	C₂³×C₁₃	1	1	yes	characteristic
1228	#107	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	#106	C₂³×C₁₃	1	1	yes	characteristic
1235	#106	C₂³×C₁₃	1	1	yes	characteristic
1236	#106	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	#106	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	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1254	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1255	C₄⋊C₈	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	#102	C₂³×C₁₃	1	1	yes	characteristic
1269	#102	C₂³×C₁₃	1	1	yes	characteristic
1270	#102	C₂³×C₁₃	1	1	yes	characteristic
1271	#102	C₂³×C₁₃	1	1	yes	characteristic
1272	#102	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	#102	C₂³×C₁₃	1	1	yes	characteristic
1286	#102	C₂³×C₁₃	1	1	yes	characteristic
1287	#102	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	C₂²⋊C₈	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	#97	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	C₂×C₁₃	—	4	1	no	—
1301	C₂×C₁₃	—	4	1	no	—
1302	C₂×C₁₃	—	4	1	no	—
1303	C₂×C₁₃	—	4	2	no	—
1304	C₂×C₁₃	—	8	1	no	—
1305	C₂×C₁₃	—	8	1	no	—
1306	C₂×C₁₃	—	8	1	no	—
1307	C₂×C₁₃	#3489	1	1	yes	characteristic
1308	C₂×C₁₃	#3584	1	1	yes	characteristic
1309	C₂×C₁₃	#3585	1	1	yes	characteristic
1310	C₂⁴	—	2	1	no	—
1311	#41	—	2	2	no	—
1312	#41	—	2	2	no	—
1313	#41	—	4	1	no	—
1314	#41	—	4	1	no	—
1315	#41	—	8	2	no	—
1316	#41	—	8	2	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	—	2	1	no	—
1322	C₂×Q₈	—	2	1	no	—
1323	C₂×Q₈	—	8	2	no	—
1324	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1325	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1326	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1327	C₂×D₄	—	2	2	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	—	2	1	no	—
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	—	2	1	no	—
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	4	1	no	—
1342	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1343	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1344	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1345	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1346	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1347	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1348	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1358	C₂²×C₄	—	2	1	no	—
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1367	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1368	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1369	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1370	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1371	SD₁₆	—	4	1	no	—
1372	SD₁₆	—	4	1	no	—
1373	SD₁₆	—	4	1	no	—
1374	SD₁₆	—	4	1	no	—
1375	D₈	—	2	2	no	—
1376	D₈	—	2	2	no	—
1377	D₈	—	4	1	no	—
1378	D₈	—	4	1	no	—
1379	M₁₆	—	4	1	no	—
1380	M₁₆	—	4	1	no	—
1381	C₂×C₈	—	4	1	no	—
1382	C₂×C₈	—	4	1	no	—
1383	C₂×C₈	—	4	1	no	—
1384	C₂×C₈	—	4	1	no	—
1385	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
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	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1428	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1429	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1430	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁴×C₁₃	1	1	yes	characteristic
1435	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1436	C₄⋊C₄	C₂⁴×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	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1479	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1480	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1481	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1499	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1500	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1501	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1502	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1503	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1504	C₁₃	#62171	1	1	yes	characteristic, direct product factor, Sylow
1505	C₂³	—	2	1	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	2	1	no	—
1508	C₂³	—	2	1	no	—
1509	C₂³	—	4	2	no	—
1510	C₂³	—	8	1	no	—
1511	C₂³	—	8	1	no	—
1512	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1513	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1514	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1515	Q₈	—	2	1	no	—
1516	Q₈	—	2	1	no	—
1517	Q₈	—	2	1	no	—
1518	Q₈	—	2	1	no	—
1519	Q₈	—	4	1	no	—
1520	Q₈	—	4	2	no	—
1521	Q₈	—	8	1	no	—
1522	Q₈	—	8	1	no	—
1523	Q₈	—	8	1	no	—
1524	Q₈	—	8	1	no	—
1525	Q₈	—	8	1	no	—
1526	D₄	—	2	1	no	—
1527	D₄	—	2	1	no	—
1528	D₄	—	2	1	no	—
1529	D₄	—	2	1	no	—
1530	D₄	—	2	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	2	1	no	—
1533	D₄	—	4	1	no	—
1534	D₄	—	4	1	no	—
1535	D₄	—	4	1	no	—
1536	D₄	—	4	2	no	—
1537	D₄	—	4	2	no	—
1538	D₄	—	4	2	no	—
1539	D₄	—	8	1	no	—
1540	D₄	—	8	1	no	—
1541	D₄	—	8	1	no	—
1542	D₄	—	8	1	no	—
1543	D₄	—	8	1	no	—
1544	D₄	—	8	1	no	—
1545	D₄	—	8	1	no	—
1546	D₄	—	8	1	no	—
1547	D₄	—	8	1	no	—
1548	D₄	—	8	1	no	—
1549	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	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	—	4	1	no	—
1569	C₂×C₄	—	4	1	no	—
1570	C₂×C₄	—	4	2	no	—
1571	C₂×C₄	—	4	2	no	—
1572	C₂×C₄	—	4	2	no	—
1573	C₂×C₄	—	4	2	no	—
1574	C₂×C₄	—	8	1	no	—
1575	C₂×C₄	—	8	1	no	—
1576	C₂×C₄	—	8	1	no	—
1577	C₂×C₄	—	8	1	no	—
1578	C₂×C₄	—	8	1	no	—
1579	C₂×C₄	—	8	1	no	—
1580	C₂×C₄	—	8	1	no	—
1581	C₂×C₄	—	8	1	no	—
1582	C₂×C₄	—	8	1	no	—
1583	C₂×C₄	—	8	1	no	—
1584	C₂×C₄	—	8	1	no	—
1585	C₂×C₄	—	8	1	no	—
1586	C₂×C₄	—	8	1	no	—
1587	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1588	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1589	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁵×C₁₃	1	1	yes	characteristic
1599	C₈	—	2	1	no	—
1600	C₈	—	2	1	no	—
1601	C₈	—	2	1	no	—
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	C₂²	—	2	1	no	—
1608	C₂²	—	2	1	no	—
1609	C₂²	—	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	2	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	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	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1654	C₄	C₁₃×#585	1	1	yes	characteristic
1655	C₂	—	4	1	no	—
1656	C₂	—	4	1	no	—
1657	C₂	—	4	1	no	—
1658	C₂	—	4	2	no	—
1659	C₂	—	8	1	no	—
1660	C₂	—	8	1	no	—
1661	C₂	—	8	1	no	—
1662	C₂	C₁₃×#3489	1	1	yes	characteristic
1663	C₂	C₁₃×#3584	1	1	yes	characteristic
1664	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3547	C₂	semidirect
2. C₁₃×#3521	C₂	semidirect
3. C₁₃×#3389	C₂	semidirect
4. C₁₃×#3384	C₂	semidirect
5. C₁₃×#3376	C₂	semidirect
6. C₁₃×#3367	C₂	semidirect
7. C₁₃×#3350	C₂	semidirect
8. C₁₃×#3348	C₂	semidirect
9. C₁₃×#3347	C₂	semidirect
10. C₁₃×#3343	C₂	semidirect
11. C₁₃×#3340	C₂	semidirect
12. C₁₃×#3339	C₂	semidirect
13. C₁₃×#3319	C₂	semidirect
14. C₁₃×#3319	C₂	semidirect
15. C₁₃×#3307	C₂	semidirect
16. C₁₃×#3306	C₂	semidirect
17. C₁₃×#3303	C₂	semidirect
18. C₁₃×#3297	C₂	semidirect
19. C₁₃×#3260	C₂	semidirect
20. C₁₃×#3257	C₂	semidirect
21. C₁₃×#3247	C₂	semidirect
22. C₁₃×#3244	C₂	semidirect
23. C₁₃×#3242	C₂	semidirect
24. C₁₃×#3240	C₂	semidirect
25. C₁₃×#3122	C₂	semidirect
26. C₁₃×#3119	C₂	semidirect
27. C₁₃×#3115	C₂	semidirect
28. C₁₃×#3083	C₂	semidirect
29. C₁₃×#3081	C₂	semidirect
30. C₁₃×#3076	C₂	semidirect
31. C₁₃×#2992	C₂	semidirect
38. C₁₃×#555	C₂²	semidirect
40. C₁₃×#554	C₂²	semidirect
44. C₁₃×#553	C₂²	semidirect
50. D₄×Q₈×C₁₃	C₂²	semidirect
57. C₁₃×#544	C₂²	semidirect
63. C₁₃×#540	C₂²	semidirect
68. C₁₃×#533	C₂²	semidirect
69. C₁₃×#532	C₂²	semidirect
77. C₁₃×#501	C₂²	semidirect
78. C₁₃×#501	C₂²	semidirect
79. C₁₃×#501	C₂²	semidirect
80. C₁₃×#501	C₂²	semidirect
81. C₁₃×#499	C₂²	semidirect
82. C₁₃×#498	C₂²	semidirect
83. C₁₃×#491	C₂²	semidirect
88. C₁₃×#487	C₂²	semidirect
91. C₁₃×#485	C₂²	semidirect
92. C₁₃×#485	C₂²	semidirect
93. C₁₃×#485	C₂²	semidirect
96. C₁₃×#483	C₂²	semidirect
102. C₁₃×#482	C₂²	semidirect
103. C₁₃×#482	C₂²	semidirect
105. C₁₃×#481	C₂²	semidirect
106. C₁₃×#480	C₂²	semidirect
107. C₁₃×#479	C₂²	semidirect
108. C₁₃×#479	C₂²	semidirect
109. C₁₃×#479	C₂²	semidirect
110. C₁₃×#479	C₂²	semidirect
111. C₁₃×#479	C₂²	semidirect
119. C₁₃×#478	C₂²	semidirect
120. C₁₃×#478	C₂²	semidirect
121. C₁₃×#478	C₂²	semidirect
122. C₁₃×#478	C₂²	semidirect
123. C₁₃×#477	C₂²	semidirect
124. C₁₃×#477	C₂²	semidirect
125. C₁₃×#477	C₂²	semidirect
129. C₁₃×#476	C₂²	semidirect
130. C₁₃×#475	C₂²	semidirect
131. C₁₃×#475	C₂²	semidirect
136. C₁₃×#474	C₂²	semidirect
140. C₁₃×#468	C₂²	semidirect
146. C₁₃×#465	C₂²	semidirect
147. C₁₃×#465	C₂²	semidirect
148. C₁₃×#465	C₂²	semidirect
153. C₁₃×#461	C₂²	semidirect
154. C₁₃×#461	C₂²	semidirect
155. C₁₃×#460	C₂²	semidirect
156. C₁₃×#460	C₂²	semidirect
165. C₁₃×#446	C₂²	semidirect
166. C₁₃×#446	C₂²	semidirect
172. C₁₃×#440	C₂²	semidirect
173. C₁₃×#440	C₂²	semidirect
174. C₁₃×#440	C₂²	semidirect
175. C₄×C₁₃×SD₁₆	C₂²	semidirect
182. C₁₃×#435	C₂²	semidirect
184. C₈×D₄×C₁₃	C₂²	semidirect
186. C₁₃×#433	C₂²	semidirect
187. C₁₃×#432	C₂²	semidirect
189. C₁₃×#428	C₂²	semidirect
191. C₁₃×#427	C₂²	semidirect
192. C₁₃×#427	C₂²	semidirect
193. C₂×C₁₃×#107	C₂²	semidirect
195. C₁₃×#424	C₂²	semidirect
196. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
478. #62171	C₁₃	direct (N × H)
673. #3547	C₂×C₁₃	semidirect
674. #3521	C₂×C₁₃	semidirect
675. #3389	C₂×C₁₃	semidirect
676. #3384	C₂×C₁₃	semidirect
677. #3376	C₂×C₁₃	semidirect
678. #3367	C₂×C₁₃	semidirect
679. #3350	C₂×C₁₃	semidirect
680. #3348	C₂×C₁₃	semidirect
681. #3347	C₂×C₁₃	semidirect
682. #3343	C₂×C₁₃	semidirect
683. #3340	C₂×C₁₃	semidirect
684. #3339	C₂×C₁₃	semidirect
685. #3319	C₂×C₁₃	semidirect
686. #3319	C₂×C₁₃	semidirect
687. #3307	C₂×C₁₃	semidirect
688. #3306	C₂×C₁₃	semidirect
689. #3303	C₂×C₁₃	semidirect
690. #3297	C₂×C₁₃	semidirect
691. #3260	C₂×C₁₃	semidirect
692. #3257	C₂×C₁₃	semidirect
693. #3247	C₂×C₁₃	semidirect
694. #3244	C₂×C₁₃	semidirect
695. #3242	C₂×C₁₃	semidirect
696. #3240	C₂×C₁₃	semidirect
697. #3122	C₂×C₁₃	semidirect
698. #3119	C₂×C₁₃	semidirect
699. #3115	C₂×C₁₃	semidirect
700. #3083	C₂×C₁₃	semidirect
701. #3081	C₂×C₁₃	semidirect
702. #3076	C₂×C₁₃	semidirect
703. #2992	C₂×C₁₃	semidirect
812. #555	C₂²×C₁₃	semidirect
814. #554	C₂²×C₁₃	semidirect
818. #553	C₂²×C₁₃	semidirect
824. D₄×Q₈	C₂²×C₁₃	semidirect
831. #544	C₂²×C₁₃	semidirect
837. #540	C₂²×C₁₃	semidirect
842. #533	C₂²×C₁₃	semidirect
843. #532	C₂²×C₁₃	semidirect
851. #501	C₂²×C₁₃	semidirect
852. #501	C₂²×C₁₃	semidirect
853. #501	C₂²×C₁₃	semidirect
854. #501	C₂²×C₁₃	semidirect
855. #499	C₂²×C₁₃	semidirect
856. #498	C₂²×C₁₃	semidirect
857. #491	C₂²×C₁₃	semidirect
862. #487	C₂²×C₁₃	semidirect
865. #485	C₂²×C₁₃	semidirect
866. #485	C₂²×C₁₃	semidirect
867. #485	C₂²×C₁₃	semidirect
870. #483	C₂²×C₁₃	semidirect
876. #482	C₂²×C₁₃	semidirect
877. #482	C₂²×C₁₃	semidirect
879. #481	C₂²×C₁₃	semidirect
880. #480	C₂²×C₁₃	semidirect
881. #479	C₂²×C₁₃	semidirect
882. #479	C₂²×C₁₃	semidirect
883. #479	C₂²×C₁₃	semidirect
884. #479	C₂²×C₁₃	semidirect
885. #479	C₂²×C₁₃	semidirect
893. #478	C₂²×C₁₃	semidirect
894. #478	C₂²×C₁₃	semidirect
895. #478	C₂²×C₁₃	semidirect
896. #478	C₂²×C₁₃	semidirect
897. #477	C₂²×C₁₃	semidirect
898. #477	C₂²×C₁₃	semidirect
899. #477	C₂²×C₁₃	semidirect
903. #476	C₂²×C₁₃	semidirect
904. #475	C₂²×C₁₃	semidirect
905. #475	C₂²×C₁₃	semidirect
910. #474	C₂²×C₁₃	semidirect
914. #468	C₂²×C₁₃	semidirect
920. #465	C₂²×C₁₃	semidirect
921. #465	C₂²×C₁₃	semidirect
922. #465	C₂²×C₁₃	semidirect
927. #461	C₂²×C₁₃	semidirect
928. #461	C₂²×C₁₃	semidirect
929. #460	C₂²×C₁₃	semidirect
930. #460	C₂²×C₁₃	semidirect
939. #446	C₂²×C₁₃	semidirect
940. #446	C₂²×C₁₃	semidirect
946. #440	C₂²×C₁₃	semidirect
947. #440	C₂²×C₁₃	semidirect
948. #440	C₂²×C₁₃	semidirect
949. C₄×SD₁₆	C₂²×C₁₃	semidirect
956. #435	C₂²×C₁₃	semidirect
958. C₈×D₄	C₂²×C₁₃	semidirect
960. #433	C₂²×C₁₃	semidirect
961. #432	C₂²×C₁₃	semidirect
963. #428	C₂²×C₁₃	semidirect
965. #427	C₂²×C₁₃	semidirect
966. #427	C₂²×C₁₃	semidirect
967. C₂×#107	C₂²×C₁₃	semidirect
969. #424	C₂²×C₁₃	semidirect
970. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1504. C₁₃	#62171	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×#3547	2
C₁₃×#3521	2
C₁₃×#3389	2
C₁₃×#3384	2
C₁₃×#3376	2
C₁₃×#3367	2
C₁₃×#3350	2
C₁₃×#3348	2
C₁₃×#3347	2
C₁₃×#3343	2
C₁₃×#3340	2
C₁₃×#3339	2
C₁₃×#3319	2
C₁₃×#3307	2
C₁₃×#3306	2
C₁₃×#3303	2
C₁₃×#3297	2
C₁₃×#3260	2
C₁₃×#3257	2
C₁₃×#3247	2
C₁₃×#3244	2
C₁₃×#3242	2
C₁₃×#3240	2
C₁₃×#3122	2
C₁₃×#3119	2
C₁₃×#3115	2
C₁₃×#3083	2
C₁₃×#3081	2
C₁₃×#3076	2
C₁₃×#2992	2
#62171	13

Subgroups — C13×#62171 #15748510

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62171 #15748510