Subgroups — C₁₃×#60997 #15747336

Order 3328.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3512	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3256	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3251	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3250	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3242	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3241	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3234	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3222	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3220	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3207	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3204	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3203	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3179	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3178	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3176	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3174	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3125	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3124	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3105	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×#553	—	2	1	no	—
33	C₁₃×#553	—	2	1	no	—
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#553	—	2	1	no	—
36	C₁₃×#553	—	2	1	no	—
37	C₁₃×#553	—	2	1	no	—
38	C₁₃×#552	—	2	1	no	—
39	C₁₃×#552	—	2	1	no	—
40	C₁₃×#544	C₂²	1	1	yes	characteristic
41	C₁₃×#542	—	2	1	no	—
42	C₁₃×#542	C₂²	1	1	yes	characteristic
43	C₁₃×#542	C₂²	1	1	yes	characteristic
44	C₁₃×#541	C₂²	1	1	yes	characteristic
45	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#540	—	2	1	no	—
47	C₁₃×#540	C₂²	1	1	yes	characteristic
48	C₁₃×#540	C₂²	1	1	yes	characteristic
49	C₁₃×#540	C₂²	1	1	yes	characteristic
50	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#538	—	2	1	no	—
52	C₁₃×#538	—	2	1	no	—
53	C₁₃×#537	C₂²	1	1	yes	characteristic
54	C₁₃×#537	C₂²	1	1	yes	characteristic
55	C₁₃×#537	C₂²	1	1	yes	characteristic
56	C₁₃×#535	C₂²	1	1	yes	characteristic
57	C₁₃×#535	C₂²	1	1	yes	characteristic
58	C₁₃×#532	—	2	1	no	—
59	C₁₃×#532	C₂²	1	1	yes	characteristic
60	C₁₃×#532	C₂²	1	1	yes	characteristic
61	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#529	—	2	1	no	—
63	C₁₃×#529	C₂²	1	1	yes	characteristic
64	C₁₃×#529	C₂²	1	1	yes	characteristic
65	C₁₃×#529	C₂²	1	1	yes	characteristic
66	C₁₃×#529	C₂²	1	1	yes	characteristic
67	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#525	—	2	1	no	—
71	C₁₃×#525	—	2	1	no	—
72	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
74	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
75	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
76	C₂×C₄×D₄×C₁₃	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×#499	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#497	C₂²	1	1	yes	characteristic
82	C₁₃×#496	C₂²	1	1	yes	characteristic
83	C₁₃×#493	C₂²	1	1	yes	characteristic
84	C₁₃×#492	C₂²	1	1	yes	characteristic
85	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#490	C₂²	1	1	yes	characteristic
87	C₁₃×#490	C₂²	1	1	yes	characteristic
88	C₁₃×#490	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×#486	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#485	C₂²	1	1	yes	characteristic
94	C₁₃×#485	C₂²	1	1	yes	characteristic
95	C₁₃×#484	C₂²	1	1	yes	characteristic
96	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#483	C₂²	1	1	yes	characteristic
98	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#482	C₂²	1	1	yes	characteristic
100	C₁₃×#482	C₂²	1	1	yes	characteristic
101	C₁₃×#481	C₂²	1	1	yes	characteristic
102	C₁₃×#481	C₂²	1	1	yes	characteristic
103	C₁₃×#481	C₂²	1	1	yes	characteristic
104	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#480	C₂²	1	1	yes	characteristic
106	C₁₃×#480	C₂²	1	1	yes	characteristic
107	C₁₃×#480	C₂²	1	1	yes	characteristic
108	C₁₃×#480	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×#479	C₂²	1	1	yes	characteristic, complemented
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, complemented
118	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
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, complemented
123	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#469	C₂²	1	1	yes	characteristic
127	C₁₃×#469	C₂²	1	1	yes	characteristic
128	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#468	C₂²	1	1	yes	characteristic
130	C₁₃×#468	C₂²	1	1	yes	characteristic
131	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#466	C₂²	1	1	yes	characteristic
135	C₁₃×#466	C₂²	1	1	yes	characteristic
136	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#465	C₂²	1	1	yes	characteristic
138	C₁₃×#465	C₂²	1	1	yes	characteristic
139	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
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, complemented
144	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#463	C₂²	1	1	yes	characteristic
146	C₁₃×#463	C₂²	1	1	yes	characteristic
147	C₁₃×#463	C₂²	1	1	yes	characteristic
148	C₁₃×#463	C₂²	1	1	yes	characteristic
149	C₁₃×#463	C₂²	1	1	yes	characteristic
150	C₁₃×#463	C₂²	1	1	yes	characteristic
151	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
152	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#460	C₂²	1	1	yes	characteristic
154	C₁₃×#460	C₂²	1	1	yes	characteristic
155	C₁₃×#459	C₂²	1	1	yes	characteristic
156	C₁₃×#459	C₂²	1	1	yes	characteristic
157	C₁₃×#452	C₂²	1	1	yes	characteristic
158	C₁₃×#452	C₂²	1	1	yes	characteristic
159	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
161	C₁₃×#450	C₂²	1	1	yes	characteristic
162	C₁₃×#450	C₂²	1	1	yes	characteristic
163	C₁₃×#449	C₂²	1	1	yes	characteristic
164	C₁₃×#449	C₂²	1	1	yes	characteristic
165	C₁₃×#449	C₂²	1	1	yes	characteristic
166	C₁₃×#449	C₂²	1	1	yes	characteristic
167	C₁₃×#449	C₂²	1	1	yes	characteristic
168	C₁₃×#449	C₂²	1	1	yes	characteristic
169	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
170	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
171	C₁₃×#447	C₂²	1	1	yes	characteristic
172	C₁₃×#447	C₂²	1	1	yes	characteristic
173	C₁₃×#442	C₂²	1	1	yes	characteristic
174	C₁₃×#442	C₂²	1	1	yes	characteristic
175	C₁₃×#442	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, complemented
180	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
183	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
184	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
187	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
188	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
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	—	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	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₁₃	—	2	1	no	—
211	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×SD₁₆	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×D₈	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×D₈	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₁₃×C₄⋊Q₈	—	2	1	no	—
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×#127	—	2	1	no	—
236	C₁₃×#127	C₂³	1	1	yes	characteristic
237	C₁₃×#127	C₂³	1	1	yes	characteristic
238	C₁₃×#127	C₂³	1	1	yes	characteristic
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×#125	—	2	1	no	—
252	C₁₃×#125	—	2	1	no	—
253	C₁₃×#125	—	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	C₂³	1	1	yes	characteristic
259	C₁₃×#125	C₂³	1	1	yes	characteristic
260	C₁₃×#125	C₂³	1	1	yes	characteristic
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×#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	—	2	1	no	—
269	C₁₃×#124	C₂³	1	1	yes	characteristic
270	C₁₃×#124	C₂³	1	1	yes	characteristic
271	C₁₃×#124	C₂³	1	1	yes	characteristic
272	C₁₃×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
288	C₁₃×#123	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
297	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
298	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
299	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
300	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
302	C₁₃×#121	—	2	1	no	—
303	C₁₃×#121	—	2	1	no	—
304	C₁₃×#121	—	2	1	no	—
305	C₁₃×#121	—	2	1	no	—
306	C₁₃×#121	—	2	1	no	—
307	C₁₃×#121	—	2	1	no	—
308	C₁₃×#121	—	2	1	no	—
309	C₁₃×#121	—	2	1	no	—
310	C₁₃×#121	—	2	1	no	—
311	C₁₃×#121	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
326	C₁₃×#121	C₂³	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	C₁₃×#120	—	2	1	no	—
338	C₁₃×#120	—	2	1	no	—
339	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
340	C₄×Q₈×C₁₃	D₄	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×Q₈×C₁₃	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	—	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	D₄	1	1	yes	characteristic
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	C₂³	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	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
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	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
400	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×C₁₃×C₂²⋊C₄	—	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×#102	C₂³	1	1	yes	characteristic
443	C₁₃×#102	C₂³	1	1	yes	characteristic
444	C₁₃×#102	C₂³	1	1	yes	characteristic
445	C₁₃×#102	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×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	#60997	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	C₁₃×#41	—	4	1	no	—
485	C₁₃×#41	—	4	1	no	—
486	C₁₃×#41	—	4	1	no	—
487	C₁₃×#41	—	4	1	no	—
488	C₁₃×#41	—	8	2	no	—
489	C₁₃×#41	—	8	2	no	—
490	C₂×Q₈×C₁₃	—	2	1	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₂×Q₈×C₁₃	C₂⁴	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	1	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	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	4	1	no	—
517	C₂×D₄×C₁₃	—	4	1	no	—
518	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
521	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
536	C₂²×C₄×C₁₃	—	2	1	no	—
537	C₂²×C₄×C₁₃	—	2	1	no	—
538	C₂²×C₄×C₁₃	—	2	1	no	—
539	C₂²×C₄×C₁₃	—	2	1	no	—
540	C₂²×C₄×C₁₃	—	2	1	no	—
541	C₂²×C₄×C₁₃	—	2	1	no	—
542	C₂²×C₄×C₁₃	—	8	2	no	—
543	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
544	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
546	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
547	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
549	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₁₃×Q₁₆	—	4	1	no	—
553	C₁₃×Q₁₆	—	4	1	no	—
554	C₁₃×SD₁₆	—	4	1	no	—
555	C₁₃×SD₁₆	—	4	1	no	—
556	C₁₃×SD₁₆	—	4	1	no	—
557	C₁₃×SD₁₆	—	4	1	no	—
558	C₁₃×SD₁₆	—	4	1	no	—
559	C₁₃×SD₁₆	—	4	1	no	—
560	C₁₃×SD₁₆	—	4	1	no	—
561	C₁₃×SD₁₆	—	4	1	no	—
562	C₁₃×D₈	—	4	1	no	—
563	C₁₃×D₈	—	4	1	no	—
564	C₁₃×D₈	—	4	1	no	—
565	C₁₃×D₈	—	4	1	no	—
566	C₁₃×D₈	—	4	1	no	—
567	C₁₃×D₈	—	4	1	no	—
568	C₁₃×M₁₆	—	4	1	no	—
569	C₁₃×M₁₆	—	4	1	no	—
570	C₂×C₈×C₁₃	—	4	1	no	—
571	C₂×C₈×C₁₃	—	4	1	no	—
572	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
601	C₁₃×C₄⋊C₄	—	2	1	no	—
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	—	2	1	no	—
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	—	2	1	no	—
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	—	2	1	no	—
656	C₁₃×C₂²⋊C₄	—	2	1	no	—
657	C₁₃×C₂²⋊C₄	—	2	1	no	—
658	C₁₃×C₂²⋊C₄	—	2	1	no	—
659	C₁₃×C₂²⋊C₄	—	2	1	no	—
660	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
662	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
663	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
671	C₄²×C₁₃	—	2	1	no	—
672	C₄²×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
677	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
678	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
679	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
680	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
681	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
682	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
683	#3512	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3460	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3256	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3251	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3250	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3242	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3241	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3234	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3232	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3222	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3220	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3207	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3204	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3203	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3198	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3198	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3179	C₂×C₁₃	1	1	yes	characteristic, complemented
702	#3178	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#3176	C₂×C₁₃	1	1	yes	characteristic, complemented
704	#3174	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3125	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3124	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3119	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3119	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3114	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#3111	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#2925	C₂×C₁₃	1	1	yes	characteristic, complemented
714	C₂³×C₁₃	—	2	1	no	—
715	C₂³×C₁₃	—	2	1	no	—
716	C₂³×C₁₃	—	2	1	no	—
717	C₂³×C₁₃	—	2	1	no	—
718	C₂³×C₁₃	—	2	1	no	—
719	C₂³×C₁₃	—	4	2	no	—
720	C₂³×C₁₃	—	8	1	no	—
721	C₂³×C₁₃	—	8	1	no	—
722	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
723	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
724	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
731	Q₈×C₁₃	—	4	1	no	—
732	Q₈×C₁₃	—	8	1	no	—
733	Q₈×C₁₃	—	8	1	no	—
734	D₄×C₁₃	—	2	1	no	—
735	D₄×C₁₃	—	2	1	no	—
736	D₄×C₁₃	—	2	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	—	2	1	no	—
744	D₄×C₁₃	—	4	1	no	—
745	D₄×C₁₃	—	4	1	no	—
746	D₄×C₁₃	—	4	1	no	—
747	D₄×C₁₃	—	4	2	no	—
748	D₄×C₁₃	—	4	2	no	—
749	D₄×C₁₃	—	4	2	no	—
750	D₄×C₁₃	—	4	2	no	—
751	D₄×C₁₃	—	8	1	no	—
752	D₄×C₁₃	—	8	1	no	—
753	D₄×C₁₃	—	8	1	no	—
754	D₄×C₁₃	—	8	1	no	—
755	D₄×C₁₃	—	8	1	no	—
756	D₄×C₁₃	—	8	1	no	—
757	D₄×C₁₃	—	8	1	no	—
758	D₄×C₁₃	—	8	1	no	—
759	D₄×C₁₃	—	8	1	no	—
760	D₄×C₁₃	—	8	1	no	—
761	D₄×C₁₃	—	8	1	no	—
762	D₄×C₁₃	—	8	1	no	—
763	D₄×C₁₃	—	8	1	no	—
764	D₄×C₁₃	—	8	1	no	—
765	D₄×C₁₃	—	8	1	no	—
766	D₄×C₁₃	—	8	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	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	4	1	no	—
785	C₂×C₄×C₁₃	—	4	1	no	—
786	C₂×C₄×C₁₃	—	4	1	no	—
787	C₂×C₄×C₁₃	—	4	1	no	—
788	C₂×C₄×C₁₃	—	4	1	no	—
789	C₂×C₄×C₁₃	—	4	1	no	—
790	C₂×C₄×C₁₃	—	4	2	no	—
791	C₂×C₄×C₁₃	—	4	2	no	—
792	C₂×C₄×C₁₃	—	4	2	no	—
793	C₂×C₄×C₁₃	—	4	2	no	—
794	C₂×C₄×C₁₃	—	4	2	no	—
795	C₂×C₄×C₁₃	—	4	2	no	—
796	C₂×C₄×C₁₃	—	8	1	no	—
797	C₂×C₄×C₁₃	—	8	1	no	—
798	C₂×C₄×C₁₃	—	8	1	no	—
799	C₂×C₄×C₁₃	—	8	1	no	—
800	C₂×C₄×C₁₃	—	8	1	no	—
801	C₂×C₄×C₁₃	—	8	1	no	—
802	C₂×C₄×C₁₃	—	8	1	no	—
803	C₂×C₄×C₁₃	—	8	1	no	—
804	C₂×C₄×C₁₃	—	8	1	no	—
805	C₂×C₄×C₁₃	—	8	1	no	—
806	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
818	C₈×C₁₃	—	2	1	no	—
819	C₈×C₁₃	—	2	1	no	—
820	C₈×C₁₃	—	2	1	no	—
821	C₈×C₁₃	—	2	1	no	—
822	C₈×C₁₃	—	2	1	no	—
823	C₈×C₁₃	—	2	1	no	—
824	C₈×C₁₃	—	2	1	no	—
825	C₈×C₁₃	—	2	1	no	—
826	#553	—	2	1	no	—
827	#553	—	2	1	no	—
828	#553	—	2	1	no	—
829	#553	—	2	1	no	—
830	#553	—	2	1	no	—
831	#553	—	2	1	no	—
832	#552	—	2	1	no	—
833	#552	—	2	1	no	—
834	#544	C₂²×C₁₃	1	1	yes	characteristic
835	#542	—	2	1	no	—
836	#542	C₂²×C₁₃	1	1	yes	characteristic
837	#542	C₂²×C₁₃	1	1	yes	characteristic
838	#541	C₂²×C₁₃	1	1	yes	characteristic
839	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
840	#540	—	2	1	no	—
841	#540	C₂²×C₁₃	1	1	yes	characteristic
842	#540	C₂²×C₁₃	1	1	yes	characteristic
843	#540	C₂²×C₁₃	1	1	yes	characteristic
844	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
845	#538	—	2	1	no	—
846	#538	—	2	1	no	—
847	#537	C₂²×C₁₃	1	1	yes	characteristic
848	#537	C₂²×C₁₃	1	1	yes	characteristic
849	#537	C₂²×C₁₃	1	1	yes	characteristic
850	#535	C₂²×C₁₃	1	1	yes	characteristic
851	#535	C₂²×C₁₃	1	1	yes	characteristic
852	#532	—	2	1	no	—
853	#532	C₂²×C₁₃	1	1	yes	characteristic
854	#532	C₂²×C₁₃	1	1	yes	characteristic
855	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#529	—	2	1	no	—
857	#529	C₂²×C₁₃	1	1	yes	characteristic
858	#529	C₂²×C₁₃	1	1	yes	characteristic
859	#529	C₂²×C₁₃	1	1	yes	characteristic
860	#529	C₂²×C₁₃	1	1	yes	characteristic
861	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
862	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
863	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
864	#525	—	2	1	no	—
865	#525	—	2	1	no	—
866	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
867	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
868	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
869	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
870	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
871	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
872	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
873	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
874	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
875	#497	C₂²×C₁₃	1	1	yes	characteristic
876	#496	C₂²×C₁₃	1	1	yes	characteristic
877	#493	C₂²×C₁₃	1	1	yes	characteristic
878	#492	C₂²×C₁₃	1	1	yes	characteristic
879	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
880	#490	C₂²×C₁₃	1	1	yes	characteristic
881	#490	C₂²×C₁₃	1	1	yes	characteristic
882	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
883	#488	C₂²×C₁₃	1	1	yes	characteristic
884	#488	C₂²×C₁₃	1	1	yes	characteristic
885	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
886	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
887	#485	C₂²×C₁₃	1	1	yes	characteristic
888	#485	C₂²×C₁₃	1	1	yes	characteristic
889	#484	C₂²×C₁₃	1	1	yes	characteristic
890	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
891	#483	C₂²×C₁₃	1	1	yes	characteristic
892	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
893	#482	C₂²×C₁₃	1	1	yes	characteristic
894	#482	C₂²×C₁₃	1	1	yes	characteristic
895	#481	C₂²×C₁₃	1	1	yes	characteristic
896	#481	C₂²×C₁₃	1	1	yes	characteristic
897	#481	C₂²×C₁₃	1	1	yes	characteristic
898	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	#480	C₂²×C₁₃	1	1	yes	characteristic
900	#480	C₂²×C₁₃	1	1	yes	characteristic
901	#480	C₂²×C₁₃	1	1	yes	characteristic
902	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
904	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
905	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
906	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
907	#478	C₂²×C₁₃	1	1	yes	characteristic
908	#478	C₂²×C₁₃	1	1	yes	characteristic
909	#478	C₂²×C₁₃	1	1	yes	characteristic
910	#478	C₂²×C₁₃	1	1	yes	characteristic
911	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
913	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
914	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
916	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
917	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
918	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
919	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
920	#469	C₂²×C₁₃	1	1	yes	characteristic
921	#469	C₂²×C₁₃	1	1	yes	characteristic
922	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
923	#468	C₂²×C₁₃	1	1	yes	characteristic
924	#468	C₂²×C₁₃	1	1	yes	characteristic
925	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	#466	C₂²×C₁₃	1	1	yes	characteristic
929	#466	C₂²×C₁₃	1	1	yes	characteristic
930	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	#465	C₂²×C₁₃	1	1	yes	characteristic
932	#465	C₂²×C₁₃	1	1	yes	characteristic
933	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
934	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#464	C₂²×C₁₃	1	1	yes	characteristic
936	#464	C₂²×C₁₃	1	1	yes	characteristic
937	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
938	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
939	#463	C₂²×C₁₃	1	1	yes	characteristic
940	#463	C₂²×C₁₃	1	1	yes	characteristic
941	#463	C₂²×C₁₃	1	1	yes	characteristic
942	#463	C₂²×C₁₃	1	1	yes	characteristic
943	#463	C₂²×C₁₃	1	1	yes	characteristic
944	#463	C₂²×C₁₃	1	1	yes	characteristic
945	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
946	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	#460	C₂²×C₁₃	1	1	yes	characteristic
948	#460	C₂²×C₁₃	1	1	yes	characteristic
949	#459	C₂²×C₁₃	1	1	yes	characteristic
950	#459	C₂²×C₁₃	1	1	yes	characteristic
951	#452	C₂²×C₁₃	1	1	yes	characteristic
952	#452	C₂²×C₁₃	1	1	yes	characteristic
953	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	#450	C₂²×C₁₃	1	1	yes	characteristic
956	#450	C₂²×C₁₃	1	1	yes	characteristic
957	#449	C₂²×C₁₃	1	1	yes	characteristic
958	#449	C₂²×C₁₃	1	1	yes	characteristic
959	#449	C₂²×C₁₃	1	1	yes	characteristic
960	#449	C₂²×C₁₃	1	1	yes	characteristic
961	#449	C₂²×C₁₃	1	1	yes	characteristic
962	#449	C₂²×C₁₃	1	1	yes	characteristic
963	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
964	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#447	C₂²×C₁₃	1	1	yes	characteristic
966	#447	C₂²×C₁₃	1	1	yes	characteristic
967	#442	C₂²×C₁₃	1	1	yes	characteristic
968	#442	C₂²×C₁₃	1	1	yes	characteristic
969	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	#440	C₂²×C₁₃	1	1	yes	characteristic
972	#440	C₂²×C₁₃	1	1	yes	characteristic
973	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
975	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
977	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
978	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
980	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
981	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
982	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
983	#433	C₂²×C₁₃	1	1	yes	characteristic
984	#433	C₂²×C₁₃	1	1	yes	characteristic
985	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
986	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
987	#432	C₂²×C₁₃	1	1	yes	characteristic
988	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
989	#431	C₂²×C₁₃	1	1	yes	characteristic
990	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
991	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
992	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
993	#408	C₂²×C₁₃	1	1	yes	characteristic
994	#408	C₂²×C₁₃	1	1	yes	characteristic
995	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
996	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
997	C₂²×C₁₃	—	2	1	no	—
998	C₂²×C₁₃	—	2	1	no	—
999	C₂²×C₁₃	—	2	1	no	—
1000	C₂²×C₁₃	—	2	1	no	—
1001	C₂²×C₁₃	—	2	1	no	—
1002	C₂²×C₁₃	—	2	1	no	—
1003	C₂²×C₁₃	—	2	1	no	—
1004	C₂²×C₁₃	—	2	1	no	—
1005	C₂²×C₁₃	—	2	1	no	—
1006	C₂²×C₁₃	—	4	1	no	—
1007	C₂²×C₁₃	—	4	1	no	—
1008	C₂²×C₁₃	—	4	1	no	—
1009	C₂²×C₁₃	—	4	1	no	—
1010	C₂²×C₁₃	—	4	1	no	—
1011	C₂²×C₁₃	—	4	1	no	—
1012	C₂²×C₁₃	—	4	1	no	—
1013	C₂²×C₁₃	—	4	1	no	—
1014	C₂²×C₁₃	—	4	1	no	—
1015	C₂²×C₁₃	—	4	1	no	—
1016	C₂²×C₁₃	—	4	1	no	—
1017	C₂²×C₁₃	—	4	1	no	—
1018	C₂²×C₁₃	—	4	1	no	—
1019	C₂²×C₁₃	—	4	1	no	—
1020	C₂²×C₁₃	—	4	1	no	—
1021	C₂²×C₁₃	—	8	4	no	—
1022	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1023	C₄×C₁₃	—	2	1	no	—
1024	C₄×C₁₃	—	2	1	no	—
1025	C₄×C₁₃	—	2	1	no	—
1026	C₄×C₁₃	—	2	1	no	—
1027	C₄×C₁₃	—	2	1	no	—
1028	C₄×C₁₃	—	2	1	no	—
1029	C₄×C₁₃	—	2	1	no	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	2	1	no	—
1033	C₄×C₁₃	—	2	1	no	—
1034	C₄×C₁₃	—	4	1	no	—
1035	C₄×C₁₃	—	4	1	no	—
1036	C₄×C₁₃	—	4	1	no	—
1037	C₄×C₁₃	—	4	1	no	—
1038	C₄×C₁₃	—	4	1	no	—
1039	C₄×C₁₃	—	4	1	no	—
1040	C₄×C₁₃	—	4	1	no	—
1041	C₄×C₁₃	—	4	1	no	—
1042	C₄×C₁₃	—	4	1	no	—
1043	C₄×C₁₃	—	4	1	no	—
1044	C₄×C₁₃	—	4	1	no	—
1045	C₄×C₁₃	#585	1	1	yes	characteristic
1046	C₄×C₁₃	#585	1	1	yes	characteristic
1047	C₂×#41	—	2	1	no	—
1048	C₂×#41	—	2	1	no	—
1049	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂³×C₄	—	2	1	no	—
1055	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1056	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1068	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1069	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1070	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1071	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1072	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1073	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1074	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1075	C₄⋊Q₈	—	2	1	no	—
1076	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1077	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1078	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1079	#127	—	2	1	no	—
1080	#127	C₂³×C₁₃	1	1	yes	characteristic
1081	#127	C₂³×C₁₃	1	1	yes	characteristic
1082	#127	C₂³×C₁₃	1	1	yes	characteristic
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	C₂³×C₁₃	1	1	yes	characteristic
1103	#125	C₂³×C₁₃	1	1	yes	characteristic
1104	#125	C₂³×C₁₃	1	1	yes	characteristic
1105	#125	C₂³×C₁₃	1	1	yes	characteristic
1106	#125	C₂³×C₁₃	1	1	yes	characteristic
1107	#125	C₂³×C₁₃	1	1	yes	characteristic
1108	#124	—	2	1	no	—
1109	#124	—	2	1	no	—
1110	#124	—	2	1	no	—
1111	#124	—	2	1	no	—
1112	#124	—	2	1	no	—
1113	#124	C₂³×C₁₃	1	1	yes	characteristic
1114	#124	C₂³×C₁₃	1	1	yes	characteristic
1115	#124	C₂³×C₁₃	1	1	yes	characteristic
1116	#124	C₂³×C₁₃	1	1	yes	characteristic
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	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	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	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
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	#121	—	2	1	no	—
1147	#121	—	2	1	no	—
1148	#121	—	2	1	no	—
1149	#121	—	2	1	no	—
1150	#121	—	2	1	no	—
1151	#121	—	2	1	no	—
1152	#121	—	2	1	no	—
1153	#121	—	2	1	no	—
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	C₂³×C₁₃	1	1	yes	characteristic
1170	#121	C₂³×C₁₃	1	1	yes	characteristic
1171	#121	C₂³×C₁₃	1	1	yes	characteristic
1172	#121	C₂³×C₁₃	1	1	yes	characteristic
1173	#121	C₂³×C₁₃	1	1	yes	characteristic
1174	#121	C₂³×C₁₃	1	1	yes	characteristic
1175	#121	C₂³×C₁₃	1	1	yes	characteristic
1176	#121	C₂³×C₁₃	1	1	yes	characteristic
1177	#121	C₂³×C₁₃	1	1	yes	characteristic
1178	#121	C₂³×C₁₃	1	1	yes	characteristic
1179	#120	—	2	1	no	—
1180	#120	—	2	1	no	—
1181	#120	—	2	1	no	—
1182	#120	—	2	1	no	—
1183	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
1184	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1188	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1210	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1211	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1212	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1213	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1214	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1215	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1216	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1219	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1220	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1221	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1222	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1223	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1224	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1225	#117	—	2	1	no	—
1226	#117	—	2	1	no	—
1227	#117	—	2	1	no	—
1228	#117	—	2	1	no	—
1229	#117	—	2	1	no	—
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	—	2	1	no	—
1234	#117	C₂³×C₁₃	1	1	yes	characteristic
1235	#117	C₂³×C₁₃	1	1	yes	characteristic
1236	#117	C₂³×C₁₃	1	1	yes	characteristic
1237	#117	C₂³×C₁₃	1	1	yes	characteristic
1238	C₂×C₄⋊C₄	—	2	1	no	—
1239	C₂×C₄⋊C₄	—	2	1	no	—
1240	C₂×C₄⋊C₄	—	2	1	no	—
1241	C₂×C₄⋊C₄	—	2	1	no	—
1242	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1243	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1244	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1245	C₂×C₂²⋊C₄	—	2	1	no	—
1246	C₂×C₄²	—	2	1	no	—
1247	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1248	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1249	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1250	#107	C₂³×C₁₃	1	1	yes	characteristic
1251	#107	C₂³×C₁₃	1	1	yes	characteristic
1252	#107	C₂³×C₁₃	1	1	yes	characteristic
1253	#107	C₂³×C₁₃	1	1	yes	characteristic
1254	#107	C₂³×C₁₃	1	1	yes	characteristic
1255	#107	C₂³×C₁₃	1	1	yes	characteristic
1256	#107	C₂³×C₁₃	1	1	yes	characteristic
1257	#107	C₂³×C₁₃	1	1	yes	characteristic
1258	#106	C₂³×C₁₃	1	1	yes	characteristic
1259	#106	C₂³×C₁₃	1	1	yes	characteristic
1260	#106	C₂³×C₁₃	1	1	yes	characteristic
1261	#106	C₂³×C₁₃	1	1	yes	characteristic
1262	#106	C₂³×C₁₃	1	1	yes	characteristic
1263	#106	C₂³×C₁₃	1	1	yes	characteristic
1264	#106	C₂³×C₁₃	1	1	yes	characteristic
1265	#106	C₂³×C₁₃	1	1	yes	characteristic
1266	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1267	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1268	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1269	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1273	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1274	#103	C₂³×C₁₃	1	1	yes	characteristic
1275	#103	C₂³×C₁₃	1	1	yes	characteristic
1276	#103	C₂³×C₁₃	1	1	yes	characteristic
1277	#103	C₂³×C₁₃	1	1	yes	characteristic
1278	#103	C₂³×C₁₃	1	1	yes	characteristic
1279	#103	C₂³×C₁₃	1	1	yes	characteristic
1280	#103	C₂³×C₁₃	1	1	yes	characteristic
1281	#103	C₂³×C₁₃	1	1	yes	characteristic
1282	#103	C₂³×C₁₃	1	1	yes	characteristic
1283	#103	C₂³×C₁₃	1	1	yes	characteristic
1284	#103	C₂³×C₁₃	1	1	yes	characteristic
1285	#103	C₂³×C₁₃	1	1	yes	characteristic
1286	#102	C₂³×C₁₃	1	1	yes	characteristic
1287	#102	C₂³×C₁₃	1	1	yes	characteristic
1288	#102	C₂³×C₁₃	1	1	yes	characteristic
1289	#102	C₂³×C₁₃	1	1	yes	characteristic
1290	#102	C₂³×C₁₃	1	1	yes	characteristic
1291	#102	C₂³×C₁₃	1	1	yes	characteristic
1292	#102	C₂³×C₁₃	1	1	yes	characteristic
1293	#102	C₂³×C₁₃	1	1	yes	characteristic
1294	#102	C₂³×C₁₃	1	1	yes	characteristic
1295	#102	C₂³×C₁₃	1	1	yes	characteristic
1296	#102	C₂³×C₁₃	1	1	yes	characteristic
1297	#102	C₂³×C₁₃	1	1	yes	characteristic
1298	#102	C₂³×C₁₃	1	1	yes	characteristic
1299	#102	C₂³×C₁₃	1	1	yes	characteristic
1300	#102	C₂³×C₁₃	1	1	yes	characteristic
1301	#102	C₂³×C₁₃	1	1	yes	characteristic
1302	#102	C₂³×C₁₃	1	1	yes	characteristic
1303	#102	C₂³×C₁₃	1	1	yes	characteristic
1304	#102	C₂³×C₁₃	1	1	yes	characteristic
1305	#102	C₂³×C₁₃	1	1	yes	characteristic
1306	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1307	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1308	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1309	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1310	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1314	#97	C₂³×C₁₃	1	1	yes	characteristic
1315	#97	C₂³×C₁₃	1	1	yes	characteristic
1316	#97	C₂³×C₁₃	1	1	yes	characteristic
1317	#97	C₂³×C₁₃	1	1	yes	characteristic
1318	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1319	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1320	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1321	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1322	C₂×C₁₃	—	4	1	no	—
1323	C₂×C₁₃	—	4	1	no	—
1324	C₂×C₁₃	—	4	1	no	—
1325	C₂×C₁₃	—	8	1	no	—
1326	C₂×C₁₃	—	8	1	no	—
1327	C₂×C₁₃	—	8	1	no	—
1328	C₂×C₁₃	—	8	1	no	—
1329	C₂×C₁₃	—	8	1	no	—
1330	C₂×C₁₃	#3449	1	1	yes	characteristic
1331	C₂×C₁₃	#3584	1	1	yes	characteristic
1332	C₂×C₁₃	#3585	1	1	yes	characteristic
1333	C₂⁴	—	2	1	no	—
1334	#41	—	4	1	no	—
1335	#41	—	4	1	no	—
1336	#41	—	4	1	no	—
1337	#41	—	4	1	no	—
1338	#41	—	4	1	no	—
1339	#41	—	4	1	no	—
1340	#41	—	4	1	no	—
1341	#41	—	4	1	no	—
1342	#41	—	8	2	no	—
1343	#41	—	8	2	no	—
1344	C₂×Q₈	—	2	1	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1347	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1348	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1349	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	4	1	no	—
1371	C₂×D₄	—	4	1	no	—
1372	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1373	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1374	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1375	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1376	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1377	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1378	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1379	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	8	2	no	—
1397	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1398	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1399	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1400	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1401	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1402	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1403	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1404	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1406	Q₁₆	—	4	1	no	—
1407	Q₁₆	—	4	1	no	—
1408	SD₁₆	—	4	1	no	—
1409	SD₁₆	—	4	1	no	—
1410	SD₁₆	—	4	1	no	—
1411	SD₁₆	—	4	1	no	—
1412	SD₁₆	—	4	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	4	1	no	—
1415	SD₁₆	—	4	1	no	—
1416	D₈	—	4	1	no	—
1417	D₈	—	4	1	no	—
1418	D₈	—	4	1	no	—
1419	D₈	—	4	1	no	—
1420	D₈	—	4	1	no	—
1421	D₈	—	4	1	no	—
1422	M₁₆	—	4	1	no	—
1423	M₁₆	—	4	1	no	—
1424	C₂×C₈	—	4	1	no	—
1425	C₂×C₈	—	4	1	no	—
1426	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1427	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1428	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1429	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1430	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1431	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1432	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1433	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1466	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1467	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1468	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1469	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1470	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1471	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1472	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1473	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1474	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1475	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1476	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1477	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1478	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1528	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1529	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1530	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1531	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1532	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1533	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1534	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1535	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1536	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1537	C₁₃	#60997	1	1	yes	characteristic, direct product factor, Sylow
1538	C₂³	—	2	1	no	—
1539	C₂³	—	2	1	no	—
1540	C₂³	—	2	1	no	—
1541	C₂³	—	2	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	4	2	no	—
1544	C₂³	—	8	1	no	—
1545	C₂³	—	8	1	no	—
1546	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1547	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1548	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	2	1	no	—
1553	Q₈	—	2	1	no	—
1554	Q₈	—	2	1	no	—
1555	Q₈	—	4	1	no	—
1556	Q₈	—	8	1	no	—
1557	Q₈	—	8	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	2	1	no	—
1568	D₄	—	4	1	no	—
1569	D₄	—	4	1	no	—
1570	D₄	—	4	1	no	—
1571	D₄	—	4	2	no	—
1572	D₄	—	4	2	no	—
1573	D₄	—	4	2	no	—
1574	D₄	—	4	2	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	8	1	no	—
1581	D₄	—	8	1	no	—
1582	D₄	—	8	1	no	—
1583	D₄	—	8	1	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	4	1	no	—
1609	C₂×C₄	—	4	1	no	—
1610	C₂×C₄	—	4	1	no	—
1611	C₂×C₄	—	4	1	no	—
1612	C₂×C₄	—	4	1	no	—
1613	C₂×C₄	—	4	1	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	—	4	2	no	—
1616	C₂×C₄	—	4	2	no	—
1617	C₂×C₄	—	4	2	no	—
1618	C₂×C₄	—	4	2	no	—
1619	C₂×C₄	—	4	2	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1631	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1632	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1633	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1634	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1635	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1636	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1637	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1638	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1639	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1640	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1641	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1642	C₈	—	2	1	no	—
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	8	4	no	—
1675	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	C₁₃×#585	1	1	yes	characteristic
1699	C₄	C₁₃×#585	1	1	yes	characteristic
1700	C₂	—	4	1	no	—
1701	C₂	—	4	1	no	—
1702	C₂	—	4	1	no	—
1703	C₂	—	8	1	no	—
1704	C₂	—	8	1	no	—
1705	C₂	—	8	1	no	—
1706	C₂	—	8	1	no	—
1707	C₂	—	8	1	no	—
1708	C₂	C₁₃×#3449	1	1	yes	characteristic
1709	C₂	C₁₃×#3584	1	1	yes	characteristic
1710	C₂	C₁₃×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3512	C₂	semidirect
2. C₁₃×#3460	C₂	semidirect
3. C₁₃×#3256	C₂	semidirect
4. C₁₃×#3251	C₂	semidirect
5. C₁₃×#3250	C₂	semidirect
6. C₁₃×#3247	C₂	semidirect
7. C₁₃×#3242	C₂	semidirect
8. C₁₃×#3241	C₂	semidirect
9. C₁₃×#3234	C₂	semidirect
10. C₁₃×#3232	C₂	semidirect
11. C₁₃×#3222	C₂	semidirect
12. C₁₃×#3220	C₂	semidirect
13. C₁₃×#3219	C₂	semidirect
14. C₁₃×#3207	C₂	semidirect
15. C₁₃×#3204	C₂	semidirect
16. C₁₃×#3203	C₂	semidirect
17. C₁₃×#3198	C₂	semidirect
18. C₁₃×#3198	C₂	semidirect
19. C₁₃×#3179	C₂	semidirect
20. C₁₃×#3178	C₂	semidirect
21. C₁₃×#3176	C₂	semidirect
22. C₁₃×#3174	C₂	semidirect
23. C₁₃×#3125	C₂	semidirect
24. C₁₃×#3124	C₂	semidirect
25. C₁₃×#3119	C₂	semidirect
26. C₁₃×#3119	C₂	semidirect
27. C₁₃×#3114	C₂	semidirect
28. C₁₃×#3111	C₂	semidirect
29. C₁₃×#3105	C₂	semidirect
30. C₁₃×#3102	C₂	semidirect
31. C₁₃×#2925	C₂	semidirect
45. C₁₃×#541	C₂²	semidirect
50. C₁₃×#540	C₂²	semidirect
61. C₁₃×#532	C₂²	semidirect
67. C₁₃×#529	C₂²	semidirect
68. C₁₃×#529	C₂²	semidirect
69. C₂×C₁₃×#125	C₂²	semidirect
72. C₁₃×#520	C₂²	semidirect
73. C₁₃×#520	C₂²	semidirect
77. C₁₃×#501	C₂²	semidirect
78. C₁₃×#501	C₂²	semidirect
79. C₁₃×#499	C₂²	semidirect
80. C₁₃×#499	C₂²	semidirect
85. C₁₃×#491	C₂²	semidirect
88. C₁₃×#490	C₂²	semidirect
91. C₁₃×#487	C₂²	semidirect
92. C₁₃×#486	C₂²	semidirect
96. C₁₃×#484	C₂²	semidirect
98. C₁₃×#483	C₂²	semidirect
104. C₁₃×#481	C₂²	semidirect
108. C₁₃×#480	C₂²	semidirect
109. C₁₃×#479	C₂²	semidirect
110. C₁₃×#479	C₂²	semidirect
111. C₁₃×#479	C₂²	semidirect
112. C₁₃×#479	C₂²	semidirect
117. C₁₃×#478	C₂²	semidirect
118. C₁₃×#478	C₂²	semidirect
119. C₁₃×#478	C₂²	semidirect
120. C₁₃×#478	C₂²	semidirect
121. C₁₃×#477	C₂²	semidirect
122. C₁₃×#476	C₂²	semidirect
123. C₁₃×#475	C₂²	semidirect
124. C₁₃×#474	C₂²	semidirect
125. C₁₃×#470	C₂²	semidirect
128. C₁₃×#469	C₂²	semidirect
131. C₁₃×#468	C₂²	semidirect
132. C₁₃×#468	C₂²	semidirect
133. C₁₃×#467	C₂²	semidirect
136. C₁₃×#466	C₂²	semidirect
139. C₁₃×#465	C₂²	semidirect
140. C₁₃×#465	C₂²	semidirect
143. C₁₃×#464	C₂²	semidirect
144. C₁₃×#464	C₂²	semidirect
151. C₁₃×#463	C₂²	semidirect
152. C₁₃×#463	C₂²	semidirect
159. C₁₃×#452	C₂²	semidirect
160. C₁₃×#452	C₂²	semidirect
169. C₁₃×#449	C₂²	semidirect
170. C₁₃×#449	C₂²	semidirect
175. C₁₃×#442	C₂²	semidirect
176. C₁₃×#441	C₂²	semidirect
179. C₁₃×#440	C₂²	semidirect
180. C₁₃×#440	C₂²	semidirect
181. C₄×C₁₃×Q₁₆	C₂²	semidirect
184. C₄×C₁₃×SD₁₆	C₂²	semidirect
185. C₄×C₁₃×SD₁₆	C₂²	semidirect
188. C₄×C₁₃×D₈	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. #60997	C₁₃	direct (N × H)
683. #3512	C₂×C₁₃	semidirect
684. #3460	C₂×C₁₃	semidirect
685. #3256	C₂×C₁₃	semidirect
686. #3251	C₂×C₁₃	semidirect
687. #3250	C₂×C₁₃	semidirect
688. #3247	C₂×C₁₃	semidirect
689. #3242	C₂×C₁₃	semidirect
690. #3241	C₂×C₁₃	semidirect
691. #3234	C₂×C₁₃	semidirect
692. #3232	C₂×C₁₃	semidirect
693. #3222	C₂×C₁₃	semidirect
694. #3220	C₂×C₁₃	semidirect
695. #3219	C₂×C₁₃	semidirect
696. #3207	C₂×C₁₃	semidirect
697. #3204	C₂×C₁₃	semidirect
698. #3203	C₂×C₁₃	semidirect
699. #3198	C₂×C₁₃	semidirect
700. #3198	C₂×C₁₃	semidirect
701. #3179	C₂×C₁₃	semidirect
702. #3178	C₂×C₁₃	semidirect
703. #3176	C₂×C₁₃	semidirect
704. #3174	C₂×C₁₃	semidirect
705. #3125	C₂×C₁₃	semidirect
706. #3124	C₂×C₁₃	semidirect
707. #3119	C₂×C₁₃	semidirect
708. #3119	C₂×C₁₃	semidirect
709. #3114	C₂×C₁₃	semidirect
710. #3111	C₂×C₁₃	semidirect
711. #3105	C₂×C₁₃	semidirect
712. #3102	C₂×C₁₃	semidirect
713. #2925	C₂×C₁₃	semidirect
839. #541	C₂²×C₁₃	semidirect
844. #540	C₂²×C₁₃	semidirect
855. #532	C₂²×C₁₃	semidirect
861. #529	C₂²×C₁₃	semidirect
862. #529	C₂²×C₁₃	semidirect
863. C₂×#125	C₂²×C₁₃	semidirect
866. #520	C₂²×C₁₃	semidirect
867. #520	C₂²×C₁₃	semidirect
871. #501	C₂²×C₁₃	semidirect
872. #501	C₂²×C₁₃	semidirect
873. #499	C₂²×C₁₃	semidirect
874. #499	C₂²×C₁₃	semidirect
879. #491	C₂²×C₁₃	semidirect
882. #490	C₂²×C₁₃	semidirect
885. #487	C₂²×C₁₃	semidirect
886. #486	C₂²×C₁₃	semidirect
890. #484	C₂²×C₁₃	semidirect
892. #483	C₂²×C₁₃	semidirect
898. #481	C₂²×C₁₃	semidirect
902. #480	C₂²×C₁₃	semidirect
903. #479	C₂²×C₁₃	semidirect
904. #479	C₂²×C₁₃	semidirect
905. #479	C₂²×C₁₃	semidirect
906. #479	C₂²×C₁₃	semidirect
911. #478	C₂²×C₁₃	semidirect
912. #478	C₂²×C₁₃	semidirect
913. #478	C₂²×C₁₃	semidirect
914. #478	C₂²×C₁₃	semidirect
915. #477	C₂²×C₁₃	semidirect
916. #476	C₂²×C₁₃	semidirect
917. #475	C₂²×C₁₃	semidirect
918. #474	C₂²×C₁₃	semidirect
919. #470	C₂²×C₁₃	semidirect
922. #469	C₂²×C₁₃	semidirect
925. #468	C₂²×C₁₃	semidirect
926. #468	C₂²×C₁₃	semidirect
927. #467	C₂²×C₁₃	semidirect
930. #466	C₂²×C₁₃	semidirect
933. #465	C₂²×C₁₃	semidirect
934. #465	C₂²×C₁₃	semidirect
937. #464	C₂²×C₁₃	semidirect
938. #464	C₂²×C₁₃	semidirect
945. #463	C₂²×C₁₃	semidirect
946. #463	C₂²×C₁₃	semidirect
953. #452	C₂²×C₁₃	semidirect
954. #452	C₂²×C₁₃	semidirect
963. #449	C₂²×C₁₃	semidirect
964. #449	C₂²×C₁₃	semidirect
969. #442	C₂²×C₁₃	semidirect
970. #441	C₂²×C₁₃	semidirect
973. #440	C₂²×C₁₃	semidirect
974. #440	C₂²×C₁₃	semidirect
975. C₄×Q₁₆	C₂²×C₁₃	semidirect
978. C₄×SD₁₆	C₂²×C₁₃	semidirect
979. C₄×SD₁₆	C₂²×C₁₃	semidirect
982. C₄×D₈	C₂²×C₁₃	semidirect
985. #433	C₂²×C₁₃	semidirect
986. #433	C₂²×C₁₃	semidirect
988. #432	C₂²×C₁₃	semidirect
990. #431	C₂²×C₁₃	semidirect
991. #423	C₂²×C₁₃	semidirect
992. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
995. #405	C₂²×C₁₃	semidirect
996. #405	C₂²×C₁₃	semidirect
1537. C₁₃	#60997	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×#3512	2
C₁₃×#3460	2
C₁₃×#3256	2
C₁₃×#3251	2
C₁₃×#3250	2
C₁₃×#3247	2
C₁₃×#3242	2
C₁₃×#3241	2
C₁₃×#3234	2
C₁₃×#3232	2
C₁₃×#3222	2
C₁₃×#3220	2
C₁₃×#3219	2
C₁₃×#3207	2
C₁₃×#3204	2
C₁₃×#3203	2
C₁₃×#3198	2
C₁₃×#3179	2
C₁₃×#3178	2
C₁₃×#3176	2
C₁₃×#3174	2
C₁₃×#3125	2
C₁₃×#3124	2
C₁₃×#3119	2
C₁₃×#3114	2
C₁₃×#3111	2
C₁₃×#3105	2
C₁₃×#3102	2
C₁₃×#2925	2
#60997	13

Subgroups — C13×#60997 #15747336

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60997 #15747336