Subgroups — C₁₃×#61856 #15748195

Order 3328.

1612 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3557	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#3502	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3390	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3390	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3388	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3388	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3387	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3385	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3383	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3381	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3371	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3371	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3365	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3364	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3244	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3243	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3242	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3241	C₂	1	1	yes	maximal, characteristic
23	C₁₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3127	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3126	C₂	1	1	yes	maximal, characteristic
27	C₁₃×#3121	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3121	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3117	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3108	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2985	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#563	—	2	1	no	—
33	C₁₃×#563	—	2	1	no	—
34	C₁₃×#559	C₂²	1	1	yes	characteristic
35	C₁₃×#559	C₂²	1	1	yes	characteristic
36	Q₈²×C₁₃	—	2	1	no	—
37	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
38	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
39	C₁₃×#557	—	2	1	no	—
40	C₁₃×#557	—	2	1	no	—
41	C₁₃×#557	—	2	1	no	—
42	C₁₃×#557	C₂²	1	1	yes	characteristic
43	C₁₃×#557	C₂²	1	1	yes	characteristic
44	C₁₃×#557	C₂²	1	1	yes	characteristic
45	C₁₃×#557	C₂²	1	1	yes	characteristic
46	C₁₃×#557	C₂²	1	1	yes	characteristic
47	C₁₃×#557	C₂²	1	1	yes	characteristic
48	C₁₃×#557	C₂²	1	1	yes	characteristic
49	C₁₃×#557	C₂²	1	1	yes	characteristic
50	C₁₃×#556	C₂²	1	1	yes	characteristic
51	C₁₃×#556	C₂²	1	1	yes	characteristic
52	C₁₃×#554	C₂²	1	1	yes	characteristic
53	C₁₃×#554	C₂²	1	1	yes	characteristic
54	C₁₃×#552	—	2	1	no	—
55	C₁₃×#552	—	2	1	no	—
56	C₁₃×#544	—	2	1	no	—
57	C₁₃×#544	—	2	1	no	—
58	C₁₃×#544	C₂²	1	1	yes	characteristic
59	C₁₃×#544	C₂²	1	1	yes	characteristic
60	C₁₃×#542	—	2	1	no	—
61	C₁₃×#542	—	2	1	no	—
62	C₁₃×#542	C₂²	1	1	yes	characteristic
63	C₁₃×#542	C₂²	1	1	yes	characteristic
64	C₁₃×#541	C₂²	1	1	yes	characteristic
65	C₁₃×#540	C₂²	1	1	yes	characteristic
66	C₁₃×#539	—	2	1	no	—
67	C₁₃×#539	—	2	1	no	—
68	C₁₃×#533	—	2	1	no	—
69	C₁₃×#533	—	2	1	no	—
70	C₁₃×#533	C₂²	1	1	yes	characteristic
71	C₁₃×#533	C₂²	1	1	yes	characteristic
72	C₁₃×#529	C₂²	1	1	yes	characteristic
73	C₁₃×#529	C₂²	1	1	yes	characteristic
74	C₁₃×#519	C₂²	1	1	yes	characteristic
75	C₁₃×#519	C₂²	1	1	yes	characteristic
76	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
77	C₁₃×#501	C₂²	1	1	yes	characteristic
78	C₁₃×#501	C₂²	1	1	yes	characteristic
79	C₁₃×#501	C₂²	1	1	yes	characteristic
80	C₁₃×#501	C₂²	1	1	yes	characteristic
81	C₁₃×#501	C₂²	1	1	yes	characteristic
82	C₁₃×#501	C₂²	1	1	yes	characteristic
83	C₁₃×#500	C₂²	1	1	yes	characteristic
84	C₁₃×#499	C₂²	1	1	yes	characteristic
85	C₁₃×#499	C₂²	1	1	yes	characteristic
86	C₁₃×#499	C₂²	1	1	yes	characteristic
87	C₁₃×#499	C₂²	1	1	yes	characteristic
88	C₁₃×#498	C₂²	1	1	yes	characteristic
89	C₁₃×#491	C₂²	1	1	yes	characteristic
90	C₁₃×#490	C₂²	1	1	yes	characteristic
91	C₁₃×#489	C₂²	1	1	yes	characteristic
92	C₁₃×#489	C₂²	1	1	yes	characteristic
93	C₁₃×#489	C₂²	1	1	yes	characteristic
94	C₁₃×#489	C₂²	1	1	yes	characteristic
95	C₁₃×#488	C₂²	1	1	yes	characteristic
96	C₁₃×#488	C₂²	1	1	yes	characteristic
97	C₁₃×#488	C₂²	1	1	yes	characteristic
98	C₁₃×#488	C₂²	1	1	yes	characteristic
99	C₁₃×#487	C₂²	1	1	yes	characteristic
100	C₁₃×#486	C₂²	1	1	yes	characteristic
101	C₁₃×#485	C₂²	1	1	yes	characteristic
102	C₁₃×#485	C₂²	1	1	yes	characteristic
103	C₁₃×#485	C₂²	1	1	yes	characteristic
104	C₁₃×#485	C₂²	1	1	yes	characteristic
105	C₁₃×#484	C₂²	1	1	yes	characteristic
106	C₁₃×#483	C₂²	1	1	yes	characteristic
107	C₁₃×#482	C₂²	1	1	yes	characteristic
108	C₁₃×#482	C₂²	1	1	yes	characteristic
109	C₁₃×#482	C₂²	1	1	yes	characteristic
110	C₁₃×#482	C₂²	1	1	yes	characteristic
111	C₁₃×#481	C₂²	1	1	yes	characteristic
112	C₁₃×#480	C₂²	1	1	yes	characteristic
113	C₁₃×#479	C₂²	1	1	yes	characteristic
114	C₁₃×#479	C₂²	1	1	yes	characteristic
115	C₁₃×#479	C₂²	1	1	yes	characteristic
116	C₁₃×#479	C₂²	1	1	yes	characteristic
117	C₁₃×#479	C₂²	1	1	yes	characteristic
118	C₁₃×#479	C₂²	1	1	yes	characteristic
119	C₁₃×#479	C₂²	1	1	yes	characteristic
120	C₁₃×#479	C₂²	1	1	yes	characteristic
121	C₁₃×#479	C₂²	1	1	yes	characteristic
122	C₁₃×#479	C₂²	1	1	yes	characteristic
123	C₁₃×#479	C₂²	1	1	yes	characteristic
124	C₁₃×#479	C₂²	1	1	yes	characteristic
125	C₁₃×#479	C₂²	1	1	yes	characteristic
126	C₁₃×#479	C₂²	1	1	yes	characteristic
127	C₁₃×#478	C₂²	1	1	yes	characteristic
128	C₁₃×#478	C₂²	1	1	yes	characteristic
129	C₁₃×#478	C₂²	1	1	yes	characteristic
130	C₁₃×#478	C₂²	1	1	yes	characteristic
131	C₁₃×#478	C₂²	1	1	yes	characteristic
132	C₁₃×#478	C₂²	1	1	yes	characteristic
133	C₁₃×#477	C₂²	1	1	yes	characteristic
134	C₁₃×#477	C₂²	1	1	yes	characteristic
135	C₁₃×#477	C₂²	1	1	yes	characteristic
136	C₁₃×#477	C₂²	1	1	yes	characteristic
137	C₁₃×#477	C₂²	1	1	yes	characteristic
138	C₁₃×#476	C₂²	1	1	yes	characteristic
139	C₁₃×#476	C₂²	1	1	yes	characteristic
140	C₁₃×#476	C₂²	1	1	yes	characteristic
141	C₁₃×#475	C₂²	1	1	yes	characteristic
142	C₁₃×#475	C₂²	1	1	yes	characteristic
143	C₁₃×#475	C₂²	1	1	yes	characteristic
144	C₁₃×#475	C₂²	1	1	yes	characteristic
145	C₁₃×#475	C₂²	1	1	yes	characteristic
146	C₁₃×#474	C₂²	1	1	yes	characteristic
147	C₁₃×#474	C₂²	1	1	yes	characteristic
148	C₁₃×#474	C₂²	1	1	yes	characteristic
149	C₁₃×#464	C₂²	1	1	yes	characteristic
150	C₁₃×#464	C₂²	1	1	yes	characteristic
151	C₁₃×#464	C₂²	1	1	yes	characteristic
152	C₁₃×#464	C₂²	1	1	yes	characteristic
153	C₁₃×#464	C₂²	1	1	yes	characteristic
154	C₁₃×#464	C₂²	1	1	yes	characteristic
155	C₁₃×#464	C₂²	1	1	yes	characteristic
156	C₁₃×#464	C₂²	1	1	yes	characteristic
157	C₁₃×#462	C₂²	1	1	yes	characteristic
158	C₁₃×#462	C₂²	1	1	yes	characteristic
159	C₁₃×#460	C₂²	1	1	yes	characteristic
160	C₁₃×#460	C₂²	1	1	yes	characteristic
161	C₁₃×#451	C₂²	1	1	yes	characteristic
162	C₁₃×#451	C₂²	1	1	yes	characteristic
163	C₁₃×#448	C₂²	1	1	yes	characteristic
164	C₁₃×#448	C₂²	1	1	yes	characteristic
165	C₁₃×#446	C₂²	1	1	yes	characteristic
166	C₁₃×#446	C₂²	1	1	yes	characteristic
167	C₁₃×#446	C₂²	1	1	yes	characteristic
168	C₁₃×#446	C₂²	1	1	yes	characteristic
169	C₁₃×#446	C₂²	1	1	yes	characteristic
170	C₁₃×#446	C₂²	1	1	yes	characteristic
171	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
172	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
173	C₁₃×#441	C₂²	1	1	yes	characteristic
174	C₁₃×#441	C₂²	1	1	yes	characteristic
175	C₁₃×#441	C₂²	1	1	yes	characteristic
176	C₁₃×#441	C₂²	1	1	yes	characteristic
177	C₁₃×#441	C₂²	1	1	yes	characteristic
178	C₁₃×#441	C₂²	1	1	yes	characteristic
179	C₁₃×#440	C₂²	1	1	yes	characteristic
180	C₁₃×#440	C₂²	1	1	yes	characteristic
181	C₁₃×#440	C₂²	1	1	yes	characteristic
182	C₁₃×#440	C₂²	1	1	yes	characteristic
183	C₁₃×#440	C₂²	1	1	yes	characteristic
184	C₁₃×#440	C₂²	1	1	yes	characteristic
185	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
186	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
187	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
188	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
189	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
190	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
191	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
192	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
193	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
194	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
195	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
196	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
197	C₁₃×#433	C₂²	1	1	yes	characteristic
198	C₁₃×#433	C₂²	1	1	yes	characteristic
199	C₁₃×#433	C₂²	1	1	yes	characteristic
200	C₁₃×#433	C₂²	1	1	yes	characteristic
201	C₁₃×#432	C₂²	1	1	yes	characteristic
202	C₁₃×#431	C₂²	1	1	yes	characteristic
203	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×SD₁₆	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	C₁₃×C₄⋊Q₈	—	2	1	no	—
213	C₁₃×C₄⋊Q₈	—	2	1	no	—
214	C₁₃×C₄⋊Q₈	—	2	1	no	—
215	C₁₃×C₄⋊Q₈	—	2	1	no	—
216	C₁₃×C₄⋊Q₈	—	2	1	no	—
217	C₁₃×C₄⋊Q₈	—	2	1	no	—
218	C₁₃×C₄⋊Q₈	—	2	1	no	—
219	C₁₃×C₄⋊Q₈	—	2	1	no	—
220	C₁₃×C₄⋊Q₈	—	2	1	no	—
221	C₁₃×C₄⋊Q₈	—	2	1	no	—
222	C₁₃×C₄⋊Q₈	—	2	1	no	—
223	C₁₃×C₄⋊Q₈	—	2	1	no	—
224	C₁₃×C₄⋊Q₈	—	2	1	no	—
225	C₁₃×C₄⋊Q₈	—	2	1	no	—
226	C₁₃×C₄⋊Q₈	—	2	1	no	—
227	C₁₃×C₄⋊Q₈	—	2	1	no	—
228	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
229	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
230	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
233	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₁₃×#127	C₂³	1	1	yes	characteristic
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×#125	—	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	—	2	1	no	—
259	C₁₃×#125	—	2	1	no	—
260	C₁₃×#125	—	2	1	no	—
261	C₁₃×#125	—	2	1	no	—
262	C₁₃×#125	—	2	1	no	—
263	C₁₃×#125	—	2	1	no	—
264	C₁₃×#125	—	2	1	no	—
265	C₁₃×#125	—	2	1	no	—
266	C₁₃×#125	—	2	1	no	—
267	C₁₃×#125	—	2	1	no	—
268	C₁₃×#125	—	2	1	no	—
269	C₁₃×#125	—	2	1	no	—
270	C₁₃×#125	D₄	1	1	yes	characteristic
271	C₁₃×#125	D₄	1	1	yes	characteristic
272	C₁₃×#125	C₂³	1	1	yes	characteristic
273	C₁₃×#125	C₂³	1	1	yes	characteristic
274	C₁₃×#125	C₂³	1	1	yes	characteristic
275	C₁₃×#125	C₂³	1	1	yes	characteristic
276	C₁₃×#125	C₂³	1	1	yes	characteristic
277	C₁₃×#125	C₂³	1	1	yes	characteristic
278	C₁₃×#125	C₂³	1	1	yes	characteristic
279	C₁₃×#125	C₂³	1	1	yes	characteristic
280	C₁₃×#125	C₂³	1	1	yes	characteristic
281	C₁₃×#125	C₂³	1	1	yes	characteristic
282	C₁₃×#124	—	2	1	no	—
283	C₁₃×#124	—	2	1	no	—
284	C₁₃×#124	—	2	1	no	—
285	C₁₃×#124	—	2	1	no	—
286	C₁₃×#124	C₂³	1	1	yes	characteristic
287	C₁₃×#124	C₂³	1	1	yes	characteristic
288	C₁₃×#124	C₂³	1	1	yes	characteristic
289	C₁₃×#124	C₂³	1	1	yes	characteristic
290	C₁₃×#123	—	2	1	no	—
291	C₁₃×#123	—	2	1	no	—
292	C₁₃×#123	—	2	1	no	—
293	C₁₃×#123	—	2	1	no	—
294	C₁₃×#123	—	2	1	no	—
295	C₁₃×#123	—	2	1	no	—
296	C₁₃×#123	—	2	1	no	—
297	C₁₃×#123	—	2	1	no	—
298	C₁₃×#123	—	2	1	no	—
299	C₁₃×#123	—	2	1	no	—
300	C₁₃×C₂²⋊Q₈	—	2	1	no	—
301	C₁₃×C₂²⋊Q₈	—	2	1	no	—
302	C₁₃×C₂²⋊Q₈	—	2	1	no	—
303	C₁₃×C₂²⋊Q₈	—	2	1	no	—
304	C₁₃×C₂²⋊Q₈	—	2	1	no	—
305	C₁₃×C₂²⋊Q₈	—	2	1	no	—
306	C₁₃×C₂²⋊Q₈	—	2	1	no	—
307	C₁₃×C₂²⋊Q₈	—	2	1	no	—
308	C₁₃×C₂²⋊Q₈	—	2	1	no	—
309	C₁₃×C₂²⋊Q₈	—	2	1	no	—
310	C₁₃×C₂²⋊Q₈	—	2	1	no	—
311	C₁₃×C₂²⋊Q₈	—	2	1	no	—
312	C₁₃×C₂²⋊Q₈	—	2	1	no	—
313	C₁₃×C₂²⋊Q₈	—	2	1	no	—
314	C₁₃×C₂²⋊Q₈	—	2	1	no	—
315	C₁₃×C₂²⋊Q₈	—	2	1	no	—
316	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
317	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
318	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
319	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
320	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₁₃×#121	—	2	1	no	—
323	C₁₃×#121	—	2	1	no	—
324	C₁₃×#121	C₂³	1	1	yes	characteristic
325	C₁₃×#121	C₂³	1	1	yes	characteristic
326	C₄×Q₈×C₁₃	—	2	1	no	—
327	C₄×Q₈×C₁₃	—	2	1	no	—
328	C₄×Q₈×C₁₃	—	2	1	no	—
329	C₄×Q₈×C₁₃	—	2	1	no	—
330	C₄×Q₈×C₁₃	—	2	1	no	—
331	C₄×Q₈×C₁₃	—	2	1	no	—
332	C₄×Q₈×C₁₃	—	2	1	no	—
333	C₄×Q₈×C₁₃	—	2	1	no	—
334	C₄×Q₈×C₁₃	—	2	1	no	—
335	C₄×Q₈×C₁₃	—	2	1	no	—
336	C₄×Q₈×C₁₃	—	2	1	no	—
337	C₄×Q₈×C₁₃	—	2	1	no	—
338	C₄×Q₈×C₁₃	—	2	1	no	—
339	C₄×Q₈×C₁₃	—	2	1	no	—
340	C₄×Q₈×C₁₃	—	2	1	no	—
341	C₄×Q₈×C₁₃	—	2	1	no	—
342	C₄×Q₈×C₁₃	—	2	1	no	—
343	C₄×Q₈×C₁₃	—	2	1	no	—
344	C₄×Q₈×C₁₃	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×Q₈×C₁₃	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
356	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
357	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
358	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
359	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
360	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
361	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
362	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
363	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
364	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
365	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₁₃	—	2	1	no	—
367	C₄×D₄×C₁₃	—	2	1	no	—
368	C₄×D₄×C₁₃	—	2	1	no	—
369	C₄×D₄×C₁₃	—	2	1	no	—
370	C₄×D₄×C₁₃	C₂³	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	C₁₃×#117	—	2	1	no	—
377	C₁₃×#117	—	2	1	no	—
378	C₁₃×#117	—	2	1	no	—
379	C₁₃×#117	—	2	1	no	—
380	C₁₃×#117	—	2	1	no	—
381	C₁₃×#117	—	2	1	no	—
382	C₁₃×#117	—	2	1	no	—
383	C₁₃×#117	—	2	1	no	—
384	C₁₃×#117	C₂³	1	1	yes	characteristic
385	C₁₃×#117	C₂³	1	1	yes	characteristic
386	C₁₃×#117	C₂³	1	1	yes	characteristic
387	C₁₃×#117	C₂³	1	1	yes	characteristic
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×C₄²×C₁₃	—	2	1	no	—
393	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
394	C₁₃×#107	C₂³	1	1	yes	characteristic
395	C₁₃×#107	C₂³	1	1	yes	characteristic
396	C₁₃×#107	C₂³	1	1	yes	characteristic
397	C₁₃×#107	C₂³	1	1	yes	characteristic
398	C₁₃×#107	C₂³	1	1	yes	characteristic
399	C₁₃×#107	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×#106	C₂³	1	1	yes	characteristic
407	C₁₃×#106	C₂³	1	1	yes	characteristic
408	C₁₃×#106	C₂³	1	1	yes	characteristic
409	C₁₃×#106	C₂³	1	1	yes	characteristic
410	C₁₃×#106	C₂³	1	1	yes	characteristic
411	C₁₃×#106	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
420	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
421	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#103	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×#103	C₂³	1	1	yes	characteristic
445	C₁₃×#103	C₂³	1	1	yes	characteristic
446	C₁₃×#103	C₂³	1	1	yes	characteristic
447	C₁₃×#103	C₂³	1	1	yes	characteristic
448	C₁₃×#103	C₂³	1	1	yes	characteristic
449	C₁₃×#103	C₂³	1	1	yes	characteristic
450	C₁₃×#102	C₂³	1	1	yes	characteristic
451	C₁₃×#102	C₂³	1	1	yes	characteristic
452	C₁₃×#102	C₂³	1	1	yes	characteristic
453	C₁₃×#102	C₂³	1	1	yes	characteristic
454	C₁₃×#102	C₂³	1	1	yes	characteristic
455	C₁₃×#102	C₂³	1	1	yes	characteristic
456	C₁₃×#102	C₂³	1	1	yes	characteristic
457	C₁₃×#102	C₂³	1	1	yes	characteristic
458	C₁₃×#102	C₂³	1	1	yes	characteristic
459	C₁₃×#102	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
463	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₁₃×#97	C₂³	1	1	yes	characteristic
467	C₁₃×#97	C₂³	1	1	yes	characteristic
468	C₁₃×#97	C₂³	1	1	yes	characteristic
469	C₁₃×#97	C₂³	1	1	yes	characteristic
470	C₁₃×#97	C₂³	1	1	yes	characteristic
471	C₁₃×#97	C₂³	1	1	yes	characteristic
472	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
473	C₄×C₈×C₁₃	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	#61856	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₂×Q₈×C₁₃	—	2	2	no	—
480	C₂×Q₈×C₁₃	—	2	2	no	—
481	C₂×Q₈×C₁₃	—	2	1	no	—
482	C₂×Q₈×C₁₃	—	2	1	no	—
483	C₂×Q₈×C₁₃	—	2	1	no	—
484	C₂×Q₈×C₁₃	—	2	1	no	—
485	C₂×Q₈×C₁₃	—	2	1	no	—
486	C₂×Q₈×C₁₃	—	2	1	no	—
487	C₂×Q₈×C₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	—	2	1	no	—
490	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
491	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
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×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	—	2	1	no	—
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	—	2	1	no	—
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	—	2	1	no	—
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₁₃×Q₁₆	—	2	2	no	—
516	C₁₃×Q₁₆	—	2	2	no	—
517	C₁₃×Q₁₆	—	2	2	no	—
518	C₁₃×Q₁₆	—	2	2	no	—
519	C₁₃×SD₁₆	—	2	2	no	—
520	C₁₃×SD₁₆	—	2	2	no	—
521	C₁₃×SD₁₆	—	2	2	no	—
522	C₁₃×SD₁₆	—	2	2	no	—
523	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
526	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
527	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₁₃×C₄⋊C₄	—	2	1	no	—
532	C₁₃×C₄⋊C₄	—	2	1	no	—
533	C₁₃×C₄⋊C₄	—	2	1	no	—
534	C₁₃×C₄⋊C₄	—	2	1	no	—
535	C₁₃×C₄⋊C₄	—	2	1	no	—
536	C₁₃×C₄⋊C₄	—	2	1	no	—
537	C₁₃×C₄⋊C₄	—	2	1	no	—
538	C₁₃×C₄⋊C₄	—	2	1	no	—
539	C₁₃×C₄⋊C₄	—	2	1	no	—
540	C₁₃×C₄⋊C₄	—	2	1	no	—
541	C₁₃×C₄⋊C₄	—	2	1	no	—
542	C₁₃×C₄⋊C₄	—	2	1	no	—
543	C₁₃×C₄⋊C₄	—	2	1	no	—
544	C₁₃×C₄⋊C₄	—	2	1	no	—
545	C₁₃×C₄⋊C₄	—	2	1	no	—
546	C₁₃×C₄⋊C₄	—	2	1	no	—
547	C₁₃×C₄⋊C₄	—	2	1	no	—
548	C₁₃×C₄⋊C₄	—	2	1	no	—
549	C₁₃×C₄⋊C₄	—	2	1	no	—
550	C₁₃×C₄⋊C₄	—	2	1	no	—
551	C₁₃×C₄⋊C₄	—	2	1	no	—
552	C₁₃×C₄⋊C₄	—	2	1	no	—
553	C₁₃×C₄⋊C₄	—	2	1	no	—
554	C₁₃×C₄⋊C₄	—	2	1	no	—
555	C₁₃×C₄⋊C₄	—	2	1	no	—
556	C₁₃×C₄⋊C₄	—	2	1	no	—
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
583	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
585	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
609	C₁₃×C₂²⋊C₄	—	2	1	no	—
610	C₁₃×C₂²⋊C₄	—	2	1	no	—
611	C₁₃×C₂²⋊C₄	—	2	1	no	—
612	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
629	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₄²×C₁₃	—	2	1	no	—
633	C₄²×C₁₃	—	2	1	no	—
634	C₄²×C₁₃	—	2	1	no	—
635	C₄²×C₁₃	—	2	1	no	—
636	C₄²×C₁₃	—	2	1	no	—
637	C₄²×C₁₃	—	2	1	no	—
638	C₄²×C₁₃	—	2	1	no	—
639	C₄²×C₁₃	—	2	1	no	—
640	C₄²×C₁₃	—	2	1	no	—
641	C₄²×C₁₃	—	2	1	no	—
642	C₄²×C₁₃	—	2	1	no	—
643	C₄²×C₁₃	—	2	1	no	—
644	C₄²×C₁₃	—	2	1	no	—
645	C₄²×C₁₃	—	2	1	no	—
646	C₄²×C₁₃	—	2	1	no	—
647	C₄²×C₁₃	—	2	1	no	—
648	C₄²×C₁₃	—	2	1	no	—
649	C₄²×C₁₃	—	2	1	no	—
650	C₄²×C₁₃	—	2	1	no	—
651	C₄²×C₁₃	—	2	1	no	—
652	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
653	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
654	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
655	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
656	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
657	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
658	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
659	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
660	#3557	C₂×C₁₃	1	1	yes	characteristic
661	#3502	C₂×C₁₃	1	1	yes	characteristic, complemented
662	#3390	C₂×C₁₃	1	1	yes	characteristic, complemented
663	#3390	C₂×C₁₃	1	1	yes	characteristic, complemented
664	#3388	C₂×C₁₃	1	1	yes	characteristic, complemented
665	#3388	C₂×C₁₃	1	1	yes	characteristic, complemented
666	#3387	C₂×C₁₃	1	1	yes	characteristic, complemented
667	#3385	C₂×C₁₃	1	1	yes	characteristic, complemented
668	#3383	C₂×C₁₃	1	1	yes	characteristic, complemented
669	#3381	C₂×C₁₃	1	1	yes	characteristic, complemented
670	#3377	C₂×C₁₃	1	1	yes	characteristic, complemented
671	#3377	C₂×C₁₃	1	1	yes	characteristic, complemented
672	#3375	C₂×C₁₃	1	1	yes	characteristic, complemented
673	#3371	C₂×C₁₃	1	1	yes	characteristic, complemented
674	#3371	C₂×C₁₃	1	1	yes	characteristic, complemented
675	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
676	#3365	C₂×C₁₃	1	1	yes	characteristic, complemented
677	#3364	C₂×C₁₃	1	1	yes	characteristic, complemented
678	#3244	C₂×C₁₃	1	1	yes	characteristic, complemented
679	#3243	C₂×C₁₃	1	1	yes	characteristic, complemented
680	#3242	C₂×C₁₃	1	1	yes	characteristic, complemented
681	#3241	C₂×C₁₃	1	1	yes	characteristic
682	#3240	C₂×C₁₃	1	1	yes	characteristic, complemented
683	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3127	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3126	C₂×C₁₃	1	1	yes	characteristic
686	#3121	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3121	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3117	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3108	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#2985	C₂×C₁₃	1	1	yes	characteristic, complemented
691	C₂³×C₁₃	—	2	1	no	—
692	C₂³×C₁₃	—	2	1	no	—
693	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
694	Q₈×C₁₃	—	2	4	no	—
695	Q₈×C₁₃	—	2	1	no	—
696	Q₈×C₁₃	—	2	1	no	—
697	Q₈×C₁₃	—	2	1	no	—
698	Q₈×C₁₃	—	2	1	no	—
699	Q₈×C₁₃	—	2	1	no	—
700	Q₈×C₁₃	—	2	1	no	—
701	Q₈×C₁₃	—	4	1	no	—
702	Q₈×C₁₃	—	4	1	no	—
703	Q₈×C₁₃	—	4	1	no	—
704	Q₈×C₁₃	—	4	1	no	—
705	Q₈×C₁₃	—	4	2	no	—
706	Q₈×C₁₃	—	8	1	no	—
707	Q₈×C₁₃	—	8	1	no	—
708	Q₈×C₁₃	—	8	1	no	—
709	Q₈×C₁₃	—	8	1	no	—
710	Q₈×C₁₃	—	8	1	no	—
711	Q₈×C₁₃	—	8	1	no	—
712	Q₈×C₁₃	—	8	1	no	—
713	Q₈×C₁₃	2₋¹⁺⁴	1	2	yes	—
714	Q₈×C₁₃	2₋¹⁺⁴	1	2	yes	—
715	D₄×C₁₃	—	2	1	no	—
716	D₄×C₁₃	—	2	1	no	—
717	D₄×C₁₃	—	2	1	no	—
718	D₄×C₁₃	—	2	1	no	—
719	D₄×C₁₃	—	8	1	no	—
720	D₄×C₁₃	—	8	1	no	—
721	D₄×C₁₃	—	8	1	no	—
722	D₄×C₁₃	—	8	1	no	—
723	C₂×C₄×C₁₃	—	2	4	no	—
724	C₂×C₄×C₁₃	—	2	1	no	—
725	C₂×C₄×C₁₃	—	2	1	no	—
726	C₂×C₄×C₁₃	—	2	1	no	—
727	C₂×C₄×C₁₃	—	2	1	no	—
728	C₂×C₄×C₁₃	—	2	1	no	—
729	C₂×C₄×C₁₃	—	2	1	no	—
730	C₂×C₄×C₁₃	—	2	1	no	—
731	C₂×C₄×C₁₃	—	2	1	no	—
732	C₂×C₄×C₁₃	—	2	1	no	—
733	C₂×C₄×C₁₃	—	2	1	no	—
734	C₂×C₄×C₁₃	—	2	1	no	—
735	C₂×C₄×C₁₃	—	2	1	no	—
736	C₂×C₄×C₁₃	—	2	1	no	—
737	C₂×C₄×C₁₃	—	2	1	no	—
738	C₂×C₄×C₁₃	—	2	1	no	—
739	C₂×C₄×C₁₃	—	2	1	no	—
740	C₂×C₄×C₁₃	—	4	1	no	—
741	C₂×C₄×C₁₃	—	4	1	no	—
742	C₂×C₄×C₁₃	—	8	1	no	—
743	C₂×C₄×C₁₃	—	8	1	no	—
744	C₂×C₄×C₁₃	—	8	1	no	—
745	C₂×C₄×C₁₃	—	8	1	no	—
746	C₂×C₄×C₁₃	—	8	1	no	—
747	C₂×C₄×C₁₃	—	8	1	no	—
748	C₂×C₄×C₁₃	—	8	1	no	—
749	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
750	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
752	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
763	C₈×C₁₃	—	2	1	no	—
764	C₈×C₁₃	—	2	1	no	—
765	C₈×C₁₃	—	2	1	no	—
766	C₈×C₁₃	—	2	1	no	—
767	C₈×C₁₃	—	2	1	no	—
768	C₈×C₁₃	—	2	1	no	—
769	C₈×C₁₃	—	2	1	no	—
770	C₈×C₁₃	—	2	1	no	—
771	#563	—	2	1	no	—
772	#563	—	2	1	no	—
773	#559	C₂²×C₁₃	1	1	yes	characteristic
774	#559	C₂²×C₁₃	1	1	yes	characteristic
775	Q₈²	—	2	1	no	—
776	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
777	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
778	#557	—	2	1	no	—
779	#557	—	2	1	no	—
780	#557	—	2	1	no	—
781	#557	C₂²×C₁₃	1	1	yes	characteristic
782	#557	C₂²×C₁₃	1	1	yes	characteristic
783	#557	C₂²×C₁₃	1	1	yes	characteristic
784	#557	C₂²×C₁₃	1	1	yes	characteristic
785	#557	C₂²×C₁₃	1	1	yes	characteristic
786	#557	C₂²×C₁₃	1	1	yes	characteristic
787	#557	C₂²×C₁₃	1	1	yes	characteristic
788	#557	C₂²×C₁₃	1	1	yes	characteristic
789	#556	C₂²×C₁₃	1	1	yes	characteristic
790	#556	C₂²×C₁₃	1	1	yes	characteristic
791	#554	C₂²×C₁₃	1	1	yes	characteristic
792	#554	C₂²×C₁₃	1	1	yes	characteristic
793	#552	—	2	1	no	—
794	#552	—	2	1	no	—
795	#544	—	2	1	no	—
796	#544	—	2	1	no	—
797	#544	C₂²×C₁₃	1	1	yes	characteristic
798	#544	C₂²×C₁₃	1	1	yes	characteristic
799	#542	—	2	1	no	—
800	#542	—	2	1	no	—
801	#542	C₂²×C₁₃	1	1	yes	characteristic
802	#542	C₂²×C₁₃	1	1	yes	characteristic
803	#541	C₂²×C₁₃	1	1	yes	characteristic
804	#540	C₂²×C₁₃	1	1	yes	characteristic
805	#539	—	2	1	no	—
806	#539	—	2	1	no	—
807	#533	—	2	1	no	—
808	#533	—	2	1	no	—
809	#533	C₂²×C₁₃	1	1	yes	characteristic
810	#533	C₂²×C₁₃	1	1	yes	characteristic
811	#529	C₂²×C₁₃	1	1	yes	characteristic
812	#529	C₂²×C₁₃	1	1	yes	characteristic
813	#519	C₂²×C₁₃	1	1	yes	characteristic
814	#519	C₂²×C₁₃	1	1	yes	characteristic
815	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
816	#501	C₂²×C₁₃	1	1	yes	characteristic
817	#501	C₂²×C₁₃	1	1	yes	characteristic
818	#501	C₂²×C₁₃	1	1	yes	characteristic
819	#501	C₂²×C₁₃	1	1	yes	characteristic
820	#501	C₂²×C₁₃	1	1	yes	characteristic
821	#501	C₂²×C₁₃	1	1	yes	characteristic
822	#500	C₂²×C₁₃	1	1	yes	characteristic
823	#499	C₂²×C₁₃	1	1	yes	characteristic
824	#499	C₂²×C₁₃	1	1	yes	characteristic
825	#499	C₂²×C₁₃	1	1	yes	characteristic
826	#499	C₂²×C₁₃	1	1	yes	characteristic
827	#498	C₂²×C₁₃	1	1	yes	characteristic
828	#491	C₂²×C₁₃	1	1	yes	characteristic
829	#490	C₂²×C₁₃	1	1	yes	characteristic
830	#489	C₂²×C₁₃	1	1	yes	characteristic
831	#489	C₂²×C₁₃	1	1	yes	characteristic
832	#489	C₂²×C₁₃	1	1	yes	characteristic
833	#489	C₂²×C₁₃	1	1	yes	characteristic
834	#488	C₂²×C₁₃	1	1	yes	characteristic
835	#488	C₂²×C₁₃	1	1	yes	characteristic
836	#488	C₂²×C₁₃	1	1	yes	characteristic
837	#488	C₂²×C₁₃	1	1	yes	characteristic
838	#487	C₂²×C₁₃	1	1	yes	characteristic
839	#486	C₂²×C₁₃	1	1	yes	characteristic
840	#485	C₂²×C₁₃	1	1	yes	characteristic
841	#485	C₂²×C₁₃	1	1	yes	characteristic
842	#485	C₂²×C₁₃	1	1	yes	characteristic
843	#485	C₂²×C₁₃	1	1	yes	characteristic
844	#484	C₂²×C₁₃	1	1	yes	characteristic
845	#483	C₂²×C₁₃	1	1	yes	characteristic
846	#482	C₂²×C₁₃	1	1	yes	characteristic
847	#482	C₂²×C₁₃	1	1	yes	characteristic
848	#482	C₂²×C₁₃	1	1	yes	characteristic
849	#482	C₂²×C₁₃	1	1	yes	characteristic
850	#481	C₂²×C₁₃	1	1	yes	characteristic
851	#480	C₂²×C₁₃	1	1	yes	characteristic
852	#479	C₂²×C₁₃	1	1	yes	characteristic
853	#479	C₂²×C₁₃	1	1	yes	characteristic
854	#479	C₂²×C₁₃	1	1	yes	characteristic
855	#479	C₂²×C₁₃	1	1	yes	characteristic
856	#479	C₂²×C₁₃	1	1	yes	characteristic
857	#479	C₂²×C₁₃	1	1	yes	characteristic
858	#479	C₂²×C₁₃	1	1	yes	characteristic
859	#479	C₂²×C₁₃	1	1	yes	characteristic
860	#479	C₂²×C₁₃	1	1	yes	characteristic
861	#479	C₂²×C₁₃	1	1	yes	characteristic
862	#479	C₂²×C₁₃	1	1	yes	characteristic
863	#479	C₂²×C₁₃	1	1	yes	characteristic
864	#479	C₂²×C₁₃	1	1	yes	characteristic
865	#479	C₂²×C₁₃	1	1	yes	characteristic
866	#478	C₂²×C₁₃	1	1	yes	characteristic
867	#478	C₂²×C₁₃	1	1	yes	characteristic
868	#478	C₂²×C₁₃	1	1	yes	characteristic
869	#478	C₂²×C₁₃	1	1	yes	characteristic
870	#478	C₂²×C₁₃	1	1	yes	characteristic
871	#478	C₂²×C₁₃	1	1	yes	characteristic
872	#477	C₂²×C₁₃	1	1	yes	characteristic
873	#477	C₂²×C₁₃	1	1	yes	characteristic
874	#477	C₂²×C₁₃	1	1	yes	characteristic
875	#477	C₂²×C₁₃	1	1	yes	characteristic
876	#477	C₂²×C₁₃	1	1	yes	characteristic
877	#476	C₂²×C₁₃	1	1	yes	characteristic
878	#476	C₂²×C₁₃	1	1	yes	characteristic
879	#476	C₂²×C₁₃	1	1	yes	characteristic
880	#475	C₂²×C₁₃	1	1	yes	characteristic
881	#475	C₂²×C₁₃	1	1	yes	characteristic
882	#475	C₂²×C₁₃	1	1	yes	characteristic
883	#475	C₂²×C₁₃	1	1	yes	characteristic
884	#475	C₂²×C₁₃	1	1	yes	characteristic
885	#474	C₂²×C₁₃	1	1	yes	characteristic
886	#474	C₂²×C₁₃	1	1	yes	characteristic
887	#474	C₂²×C₁₃	1	1	yes	characteristic
888	#464	C₂²×C₁₃	1	1	yes	characteristic
889	#464	C₂²×C₁₃	1	1	yes	characteristic
890	#464	C₂²×C₁₃	1	1	yes	characteristic
891	#464	C₂²×C₁₃	1	1	yes	characteristic
892	#464	C₂²×C₁₃	1	1	yes	characteristic
893	#464	C₂²×C₁₃	1	1	yes	characteristic
894	#464	C₂²×C₁₃	1	1	yes	characteristic
895	#464	C₂²×C₁₃	1	1	yes	characteristic
896	#462	C₂²×C₁₃	1	1	yes	characteristic
897	#462	C₂²×C₁₃	1	1	yes	characteristic
898	#460	C₂²×C₁₃	1	1	yes	characteristic
899	#460	C₂²×C₁₃	1	1	yes	characteristic
900	#451	C₂²×C₁₃	1	1	yes	characteristic
901	#451	C₂²×C₁₃	1	1	yes	characteristic
902	#448	C₂²×C₁₃	1	1	yes	characteristic
903	#448	C₂²×C₁₃	1	1	yes	characteristic
904	#446	C₂²×C₁₃	1	1	yes	characteristic
905	#446	C₂²×C₁₃	1	1	yes	characteristic
906	#446	C₂²×C₁₃	1	1	yes	characteristic
907	#446	C₂²×C₁₃	1	1	yes	characteristic
908	#446	C₂²×C₁₃	1	1	yes	characteristic
909	#446	C₂²×C₁₃	1	1	yes	characteristic
910	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
911	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
912	#441	C₂²×C₁₃	1	1	yes	characteristic
913	#441	C₂²×C₁₃	1	1	yes	characteristic
914	#441	C₂²×C₁₃	1	1	yes	characteristic
915	#441	C₂²×C₁₃	1	1	yes	characteristic
916	#441	C₂²×C₁₃	1	1	yes	characteristic
917	#441	C₂²×C₁₃	1	1	yes	characteristic
918	#440	C₂²×C₁₃	1	1	yes	characteristic
919	#440	C₂²×C₁₃	1	1	yes	characteristic
920	#440	C₂²×C₁₃	1	1	yes	characteristic
921	#440	C₂²×C₁₃	1	1	yes	characteristic
922	#440	C₂²×C₁₃	1	1	yes	characteristic
923	#440	C₂²×C₁₃	1	1	yes	characteristic
924	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
925	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
926	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
927	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
928	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
929	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
930	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
931	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
932	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
933	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
934	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
935	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
936	#433	C₂²×C₁₃	1	1	yes	characteristic
937	#433	C₂²×C₁₃	1	1	yes	characteristic
938	#433	C₂²×C₁₃	1	1	yes	characteristic
939	#433	C₂²×C₁₃	1	1	yes	characteristic
940	#432	C₂²×C₁₃	1	1	yes	characteristic
941	#431	C₂²×C₁₃	1	1	yes	characteristic
942	C₂²×C₁₃	—	2	1	no	—
943	C₂²×C₁₃	—	2	1	no	—
944	C₂²×C₁₃	—	2	1	no	—
945	C₂²×C₁₃	—	4	1	no	—
946	C₂²×C₁₃	—	4	1	no	—
947	C₂²×C₁₃	—	4	1	no	—
948	C₂²×C₁₃	—	4	1	no	—
949	C₂²×C₁₃	—	4	1	no	—
950	C₂²×C₁₃	—	4	1	no	—
951	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
952	C₄×C₁₃	—	2	1	no	—
953	C₄×C₁₃	—	2	1	no	—
954	C₄×C₁₃	—	2	1	no	—
955	C₄×C₁₃	—	2	1	no	—
956	C₄×C₁₃	—	2	1	no	—
957	C₄×C₁₃	—	2	1	no	—
958	C₄×C₁₃	—	2	1	no	—
959	C₄×C₁₃	—	2	1	no	—
960	C₄×C₁₃	—	2	1	no	—
961	C₄×C₁₃	—	2	1	no	—
962	C₄×C₁₃	—	2	1	no	—
963	C₄×C₁₃	—	2	1	no	—
964	C₄×C₁₃	—	2	2	no	—
965	C₄×C₁₃	—	2	2	no	—
966	C₄×C₁₃	—	2	1	no	—
967	C₄×C₁₃	—	4	1	no	—
968	C₄×C₁₃	—	4	1	no	—
969	C₄×C₁₃	—	4	1	no	—
970	C₄×C₁₃	—	4	1	no	—
971	C₄×C₁₃	—	4	1	no	—
972	C₄×C₁₃	—	4	1	no	—
973	C₄×C₁₃	—	4	1	no	—
974	C₄×C₁₃	—	4	1	no	—
975	C₄×C₁₃	—	4	1	no	—
976	C₄×C₁₃	—	4	1	no	—
977	C₄×C₁₃	—	4	1	no	—
978	C₄×C₁₃	—	4	1	no	—
979	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
980	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
981	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
982	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
983	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
984	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
985	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
986	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
987	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
988	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
989	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
990	C₄⋊Q₈	—	2	1	no	—
991	C₄⋊Q₈	—	2	1	no	—
992	C₄⋊Q₈	—	2	1	no	—
993	C₄⋊Q₈	—	2	1	no	—
994	C₄⋊Q₈	—	2	1	no	—
995	C₄⋊Q₈	—	2	1	no	—
996	C₄⋊Q₈	—	2	1	no	—
997	C₄⋊Q₈	—	2	1	no	—
998	C₄⋊Q₈	—	2	1	no	—
999	C₄⋊Q₈	—	2	1	no	—
1000	C₄⋊Q₈	—	2	1	no	—
1001	C₄⋊Q₈	—	2	1	no	—
1002	C₄⋊Q₈	—	2	1	no	—
1003	C₄⋊Q₈	—	2	1	no	—
1004	C₄⋊Q₈	—	2	1	no	—
1005	C₄⋊Q₈	—	2	1	no	—
1006	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1007	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1008	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1009	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1010	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1011	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1012	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1013	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1014	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1015	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1016	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1017	#127	C₂³×C₁₃	1	1	yes	characteristic
1018	#126	—	2	1	no	—
1019	#126	—	2	1	no	—
1020	#126	—	2	1	no	—
1021	#126	—	2	1	no	—
1022	#126	—	2	1	no	—
1023	#126	—	2	1	no	—
1024	#126	—	2	1	no	—
1025	#126	—	2	1	no	—
1026	#126	—	2	1	no	—
1027	#126	—	2	1	no	—
1028	#125	—	2	1	no	—
1029	#125	—	2	1	no	—
1030	#125	—	2	1	no	—
1031	#125	—	2	1	no	—
1032	#125	—	2	1	no	—
1033	#125	—	2	1	no	—
1034	#125	—	2	1	no	—
1035	#125	—	2	1	no	—
1036	#125	—	2	1	no	—
1037	#125	—	2	1	no	—
1038	#125	—	2	1	no	—
1039	#125	—	2	1	no	—
1040	#125	—	2	1	no	—
1041	#125	—	2	1	no	—
1042	#125	—	2	1	no	—
1043	#125	—	2	1	no	—
1044	#125	—	2	1	no	—
1045	#125	—	2	1	no	—
1046	#125	—	2	1	no	—
1047	#125	—	2	1	no	—
1048	#125	D₄×C₁₃	1	1	yes	characteristic
1049	#125	D₄×C₁₃	1	1	yes	characteristic
1050	#125	C₂³×C₁₃	1	1	yes	characteristic
1051	#125	C₂³×C₁₃	1	1	yes	characteristic
1052	#125	C₂³×C₁₃	1	1	yes	characteristic
1053	#125	C₂³×C₁₃	1	1	yes	characteristic
1054	#125	C₂³×C₁₃	1	1	yes	characteristic
1055	#125	C₂³×C₁₃	1	1	yes	characteristic
1056	#125	C₂³×C₁₃	1	1	yes	characteristic
1057	#125	C₂³×C₁₃	1	1	yes	characteristic
1058	#125	C₂³×C₁₃	1	1	yes	characteristic
1059	#125	C₂³×C₁₃	1	1	yes	characteristic
1060	#124	—	2	1	no	—
1061	#124	—	2	1	no	—
1062	#124	—	2	1	no	—
1063	#124	—	2	1	no	—
1064	#124	C₂³×C₁₃	1	1	yes	characteristic
1065	#124	C₂³×C₁₃	1	1	yes	characteristic
1066	#124	C₂³×C₁₃	1	1	yes	characteristic
1067	#124	C₂³×C₁₃	1	1	yes	characteristic
1068	#123	—	2	1	no	—
1069	#123	—	2	1	no	—
1070	#123	—	2	1	no	—
1071	#123	—	2	1	no	—
1072	#123	—	2	1	no	—
1073	#123	—	2	1	no	—
1074	#123	—	2	1	no	—
1075	#123	—	2	1	no	—
1076	#123	—	2	1	no	—
1077	#123	—	2	1	no	—
1078	C₂²⋊Q₈	—	2	1	no	—
1079	C₂²⋊Q₈	—	2	1	no	—
1080	C₂²⋊Q₈	—	2	1	no	—
1081	C₂²⋊Q₈	—	2	1	no	—
1082	C₂²⋊Q₈	—	2	1	no	—
1083	C₂²⋊Q₈	—	2	1	no	—
1084	C₂²⋊Q₈	—	2	1	no	—
1085	C₂²⋊Q₈	—	2	1	no	—
1086	C₂²⋊Q₈	—	2	1	no	—
1087	C₂²⋊Q₈	—	2	1	no	—
1088	C₂²⋊Q₈	—	2	1	no	—
1089	C₂²⋊Q₈	—	2	1	no	—
1090	C₂²⋊Q₈	—	2	1	no	—
1091	C₂²⋊Q₈	—	2	1	no	—
1092	C₂²⋊Q₈	—	2	1	no	—
1093	C₂²⋊Q₈	—	2	1	no	—
1094	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1095	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1096	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1097	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1098	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1099	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1100	#121	—	2	1	no	—
1101	#121	—	2	1	no	—
1102	#121	C₂³×C₁₃	1	1	yes	characteristic
1103	#121	C₂³×C₁₃	1	1	yes	characteristic
1104	C₄×Q₈	—	2	1	no	—
1105	C₄×Q₈	—	2	1	no	—
1106	C₄×Q₈	—	2	1	no	—
1107	C₄×Q₈	—	2	1	no	—
1108	C₄×Q₈	—	2	1	no	—
1109	C₄×Q₈	—	2	1	no	—
1110	C₄×Q₈	—	2	1	no	—
1111	C₄×Q₈	—	2	1	no	—
1112	C₄×Q₈	—	2	1	no	—
1113	C₄×Q₈	—	2	1	no	—
1114	C₄×Q₈	—	2	1	no	—
1115	C₄×Q₈	—	2	1	no	—
1116	C₄×Q₈	—	2	1	no	—
1117	C₄×Q₈	—	2	1	no	—
1118	C₄×Q₈	—	2	1	no	—
1119	C₄×Q₈	—	2	1	no	—
1120	C₄×Q₈	—	2	1	no	—
1121	C₄×Q₈	—	2	1	no	—
1122	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1123	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1124	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1125	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1126	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1127	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1128	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1129	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1130	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1131	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1132	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1133	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1134	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1135	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1136	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1137	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1138	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1139	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1140	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1141	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1142	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1143	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1144	C₄×D₄	—	2	1	no	—
1145	C₄×D₄	—	2	1	no	—
1146	C₄×D₄	—	2	1	no	—
1147	C₄×D₄	—	2	1	no	—
1148	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1149	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1150	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1151	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1152	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1153	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1154	#117	—	2	1	no	—
1155	#117	—	2	1	no	—
1156	#117	—	2	1	no	—
1157	#117	—	2	1	no	—
1158	#117	—	2	1	no	—
1159	#117	—	2	1	no	—
1160	#117	—	2	1	no	—
1161	#117	—	2	1	no	—
1162	#117	C₂³×C₁₃	1	1	yes	characteristic
1163	#117	C₂³×C₁₃	1	1	yes	characteristic
1164	#117	C₂³×C₁₃	1	1	yes	characteristic
1165	#117	C₂³×C₁₃	1	1	yes	characteristic
1166	C₂×C₄⋊C₄	—	2	1	no	—
1167	C₂×C₄⋊C₄	—	2	1	no	—
1168	C₂×C₄⋊C₄	—	2	1	no	—
1169	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1170	C₂×C₄²	—	2	1	no	—
1171	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1172	#107	C₂³×C₁₃	1	1	yes	characteristic
1173	#107	C₂³×C₁₃	1	1	yes	characteristic
1174	#107	C₂³×C₁₃	1	1	yes	characteristic
1175	#107	C₂³×C₁₃	1	1	yes	characteristic
1176	#107	C₂³×C₁₃	1	1	yes	characteristic
1177	#107	C₂³×C₁₃	1	1	yes	characteristic
1178	#107	C₂³×C₁₃	1	1	yes	characteristic
1179	#107	C₂³×C₁₃	1	1	yes	characteristic
1180	#107	C₂³×C₁₃	1	1	yes	characteristic
1181	#107	C₂³×C₁₃	1	1	yes	characteristic
1182	#107	C₂³×C₁₃	1	1	yes	characteristic
1183	#107	C₂³×C₁₃	1	1	yes	characteristic
1184	#106	C₂³×C₁₃	1	1	yes	characteristic
1185	#106	C₂³×C₁₃	1	1	yes	characteristic
1186	#106	C₂³×C₁₃	1	1	yes	characteristic
1187	#106	C₂³×C₁₃	1	1	yes	characteristic
1188	#106	C₂³×C₁₃	1	1	yes	characteristic
1189	#106	C₂³×C₁₃	1	1	yes	characteristic
1190	#106	C₂³×C₁₃	1	1	yes	characteristic
1191	#106	C₂³×C₁₃	1	1	yes	characteristic
1192	#106	C₂³×C₁₃	1	1	yes	characteristic
1193	#106	C₂³×C₁₃	1	1	yes	characteristic
1194	#106	C₂³×C₁₃	1	1	yes	characteristic
1195	#106	C₂³×C₁₃	1	1	yes	characteristic
1196	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1197	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1198	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1199	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1200	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1201	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1202	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1203	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1204	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1205	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1206	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1207	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1208	#103	C₂³×C₁₃	1	1	yes	characteristic
1209	#103	C₂³×C₁₃	1	1	yes	characteristic
1210	#103	C₂³×C₁₃	1	1	yes	characteristic
1211	#103	C₂³×C₁₃	1	1	yes	characteristic
1212	#103	C₂³×C₁₃	1	1	yes	characteristic
1213	#103	C₂³×C₁₃	1	1	yes	characteristic
1214	#103	C₂³×C₁₃	1	1	yes	characteristic
1215	#103	C₂³×C₁₃	1	1	yes	characteristic
1216	#103	C₂³×C₁₃	1	1	yes	characteristic
1217	#103	C₂³×C₁₃	1	1	yes	characteristic
1218	#103	C₂³×C₁₃	1	1	yes	characteristic
1219	#103	C₂³×C₁₃	1	1	yes	characteristic
1220	#103	C₂³×C₁₃	1	1	yes	characteristic
1221	#103	C₂³×C₁₃	1	1	yes	characteristic
1222	#103	C₂³×C₁₃	1	1	yes	characteristic
1223	#103	C₂³×C₁₃	1	1	yes	characteristic
1224	#103	C₂³×C₁₃	1	1	yes	characteristic
1225	#103	C₂³×C₁₃	1	1	yes	characteristic
1226	#103	C₂³×C₁₃	1	1	yes	characteristic
1227	#103	C₂³×C₁₃	1	1	yes	characteristic
1228	#102	C₂³×C₁₃	1	1	yes	characteristic
1229	#102	C₂³×C₁₃	1	1	yes	characteristic
1230	#102	C₂³×C₁₃	1	1	yes	characteristic
1231	#102	C₂³×C₁₃	1	1	yes	characteristic
1232	#102	C₂³×C₁₃	1	1	yes	characteristic
1233	#102	C₂³×C₁₃	1	1	yes	characteristic
1234	#102	C₂³×C₁₃	1	1	yes	characteristic
1235	#102	C₂³×C₁₃	1	1	yes	characteristic
1236	#102	C₂³×C₁₃	1	1	yes	characteristic
1237	#102	C₂³×C₁₃	1	1	yes	characteristic
1238	#102	C₂³×C₁₃	1	1	yes	characteristic
1239	#102	C₂³×C₁₃	1	1	yes	characteristic
1240	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1241	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1242	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1243	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1244	#97	C₂³×C₁₃	1	1	yes	characteristic
1245	#97	C₂³×C₁₃	1	1	yes	characteristic
1246	#97	C₂³×C₁₃	1	1	yes	characteristic
1247	#97	C₂³×C₁₃	1	1	yes	characteristic
1248	#97	C₂³×C₁₃	1	1	yes	characteristic
1249	#97	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	C₂×C₁₃	—	4	1	no	—
1257	C₂×C₁₃	—	8	1	no	—
1258	C₂×C₁₃	—	8	1	no	—
1259	C₂×C₁₃	#3486	1	1	yes	characteristic
1260	C₂×C₁₃	#3584	1	1	yes	characteristic
1261	C₂×C₁₃	#3586	1	1	yes	characteristic
1262	C₂×Q₈	—	2	2	no	—
1263	C₂×Q₈	—	2	2	no	—
1264	C₂×Q₈	—	2	1	no	—
1265	C₂×Q₈	—	2	1	no	—
1266	C₂×Q₈	—	2	1	no	—
1267	C₂×Q₈	—	2	1	no	—
1268	C₂×Q₈	—	2	1	no	—
1269	C₂×Q₈	—	2	1	no	—
1270	C₂×Q₈	—	2	1	no	—
1271	C₂×Q₈	—	2	1	no	—
1272	C₂×Q₈	—	2	1	no	—
1273	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1274	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1275	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1276	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1277	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1278	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1279	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1280	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1281	C₂×D₄	—	2	1	no	—
1282	C₂×D₄	—	2	1	no	—
1283	C₂×D₄	—	2	1	no	—
1284	C₂×D₄	—	2	1	no	—
1285	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1286	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1287	C₂²×C₄	—	2	1	no	—
1288	C₂²×C₄	—	2	1	no	—
1289	C₂²×C₄	—	2	1	no	—
1290	C₂²×C₄	—	2	1	no	—
1291	C₂²×C₄	—	2	1	no	—
1292	C₂²×C₄	—	2	1	no	—
1293	C₂²×C₄	—	2	1	no	—
1294	C₂²×C₄	—	2	1	no	—
1295	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1296	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1297	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1298	Q₁₆	—	2	2	no	—
1299	Q₁₆	—	2	2	no	—
1300	Q₁₆	—	2	2	no	—
1301	Q₁₆	—	2	2	no	—
1302	SD₁₆	—	2	2	no	—
1303	SD₁₆	—	2	2	no	—
1304	SD₁₆	—	2	2	no	—
1305	SD₁₆	—	2	2	no	—
1306	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1307	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1308	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1309	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1310	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1311	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1312	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1313	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1314	C₄⋊C₄	—	2	1	no	—
1315	C₄⋊C₄	—	2	1	no	—
1316	C₄⋊C₄	—	2	1	no	—
1317	C₄⋊C₄	—	2	1	no	—
1318	C₄⋊C₄	—	2	1	no	—
1319	C₄⋊C₄	—	2	1	no	—
1320	C₄⋊C₄	—	2	1	no	—
1321	C₄⋊C₄	—	2	1	no	—
1322	C₄⋊C₄	—	2	1	no	—
1323	C₄⋊C₄	—	2	1	no	—
1324	C₄⋊C₄	—	2	1	no	—
1325	C₄⋊C₄	—	2	1	no	—
1326	C₄⋊C₄	—	2	1	no	—
1327	C₄⋊C₄	—	2	1	no	—
1328	C₄⋊C₄	—	2	1	no	—
1329	C₄⋊C₄	—	2	1	no	—
1330	C₄⋊C₄	—	2	1	no	—
1331	C₄⋊C₄	—	2	1	no	—
1332	C₄⋊C₄	—	2	1	no	—
1333	C₄⋊C₄	—	2	1	no	—
1334	C₄⋊C₄	—	2	1	no	—
1335	C₄⋊C₄	—	2	1	no	—
1336	C₄⋊C₄	—	2	1	no	—
1337	C₄⋊C₄	—	2	1	no	—
1338	C₄⋊C₄	—	2	1	no	—
1339	C₄⋊C₄	—	2	1	no	—
1340	C₄⋊C₄	—	2	1	no	—
1341	C₄⋊C₄	—	2	1	no	—
1342	C₄⋊C₄	—	2	1	no	—
1343	C₄⋊C₄	—	2	1	no	—
1344	C₄⋊C₄	—	2	1	no	—
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	1	no	—
1352	C₄⋊C₄	—	2	1	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	2	1	no	—
1356	C₄⋊C₄	—	2	1	no	—
1357	C₄⋊C₄	—	2	1	no	—
1358	C₄⋊C₄	—	2	1	no	—
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1366	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1367	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1368	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1369	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1370	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1371	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1372	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1373	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1374	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1375	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1376	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1377	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1378	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1379	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1380	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1381	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1382	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1383	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1384	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1385	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1386	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1387	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1388	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1389	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1390	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1397	C₂²⋊C₄	—	2	1	no	—
1398	C₂²⋊C₄	—	2	1	no	—
1399	C₂²⋊C₄	—	2	1	no	—
1400	C₂²⋊C₄	—	2	1	no	—
1401	C₂²⋊C₄	—	2	1	no	—
1402	C₂²⋊C₄	—	2	1	no	—
1403	C₂²⋊C₄	—	2	1	no	—
1404	C₂²⋊C₄	—	2	1	no	—
1405	C₂²⋊C₄	—	2	1	no	—
1406	C₂²⋊C₄	—	2	1	no	—
1407	C₂²⋊C₄	—	2	1	no	—
1408	C₂²⋊C₄	—	2	1	no	—
1409	C₂²⋊C₄	—	2	1	no	—
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1412	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1413	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1414	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1415	C₄²	—	2	1	no	—
1416	C₄²	—	2	1	no	—
1417	C₄²	—	2	1	no	—
1418	C₄²	—	2	1	no	—
1419	C₄²	—	2	1	no	—
1420	C₄²	—	2	1	no	—
1421	C₄²	—	2	1	no	—
1422	C₄²	—	2	1	no	—
1423	C₄²	—	2	1	no	—
1424	C₄²	—	2	1	no	—
1425	C₄²	—	2	1	no	—
1426	C₄²	—	2	1	no	—
1427	C₄²	—	2	1	no	—
1428	C₄²	—	2	1	no	—
1429	C₄²	—	2	1	no	—
1430	C₄²	—	2	1	no	—
1431	C₄²	—	2	1	no	—
1432	C₄²	—	2	1	no	—
1433	C₄²	—	2	1	no	—
1434	C₄²	—	2	1	no	—
1435	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1436	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1437	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1438	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1439	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1440	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1441	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1442	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1443	C₁₃	#61856	1	1	yes	characteristic, direct product factor, Sylow
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1447	Q₈	—	2	4	no	—
1448	Q₈	—	2	1	no	—
1449	Q₈	—	2	1	no	—
1450	Q₈	—	2	1	no	—
1451	Q₈	—	2	1	no	—
1452	Q₈	—	2	1	no	—
1453	Q₈	—	2	1	no	—
1454	Q₈	—	4	1	no	—
1455	Q₈	—	4	1	no	—
1456	Q₈	—	4	1	no	—
1457	Q₈	—	4	1	no	—
1458	Q₈	—	4	2	no	—
1459	Q₈	—	8	1	no	—
1460	Q₈	—	8	1	no	—
1461	Q₈	—	8	1	no	—
1462	Q₈	—	8	1	no	—
1463	Q₈	—	8	1	no	—
1464	Q₈	—	8	1	no	—
1465	Q₈	—	8	1	no	—
1466	Q₈	C₁₃×2₋¹⁺⁴	1	2	yes	—
1467	Q₈	C₁₃×2₋¹⁺⁴	1	2	yes	—
1468	D₄	—	2	1	no	—
1469	D₄	—	2	1	no	—
1470	D₄	—	2	1	no	—
1471	D₄	—	2	1	no	—
1472	D₄	—	8	1	no	—
1473	D₄	—	8	1	no	—
1474	D₄	—	8	1	no	—
1475	D₄	—	8	1	no	—
1476	C₂×C₄	—	2	4	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	4	1	no	—
1494	C₂×C₄	—	4	1	no	—
1495	C₂×C₄	—	8	1	no	—
1496	C₂×C₄	—	8	1	no	—
1497	C₂×C₄	—	8	1	no	—
1498	C₂×C₄	—	8	1	no	—
1499	C₂×C₄	—	8	1	no	—
1500	C₂×C₄	—	8	1	no	—
1501	C₂×C₄	—	8	1	no	—
1502	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1503	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1504	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1505	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1506	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1507	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1508	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1509	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1510	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1511	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1512	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1513	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1514	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1515	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1516	C₈	—	2	1	no	—
1517	C₈	—	2	1	no	—
1518	C₈	—	2	1	no	—
1519	C₈	—	2	1	no	—
1520	C₈	—	2	1	no	—
1521	C₈	—	2	1	no	—
1522	C₈	—	2	1	no	—
1523	C₈	—	2	1	no	—
1524	C₂²	—	2	1	no	—
1525	C₂²	—	2	1	no	—
1526	C₂²	—	2	1	no	—
1527	C₂²	—	4	1	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	4	1	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	4	1	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1534	C₄	—	2	1	no	—
1535	C₄	—	2	1	no	—
1536	C₄	—	2	1	no	—
1537	C₄	—	2	1	no	—
1538	C₄	—	2	1	no	—
1539	C₄	—	2	1	no	—
1540	C₄	—	2	1	no	—
1541	C₄	—	2	1	no	—
1542	C₄	—	2	1	no	—
1543	C₄	—	2	1	no	—
1544	C₄	—	2	1	no	—
1545	C₄	—	2	1	no	—
1546	C₄	—	2	2	no	—
1547	C₄	—	2	2	no	—
1548	C₄	—	2	1	no	—
1549	C₄	—	4	1	no	—
1550	C₄	—	4	1	no	—
1551	C₄	—	4	1	no	—
1552	C₄	—	4	1	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	4	1	no	—
1555	C₄	—	4	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1562	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1563	C₂	—	4	1	no	—
1564	C₂	—	8	1	no	—
1565	C₂	—	8	1	no	—
1566	C₂	C₁₃×#3486	1	1	yes	characteristic
1567	C₂	C₁₃×#3584	1	1	yes	characteristic
1568	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#540	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#533 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#3502	C₂	semidirect
3. C₁₃×#3390	C₂	semidirect
4. C₁₃×#3390	C₂	semidirect
5. C₁₃×#3388	C₂	semidirect
6. C₁₃×#3388	C₂	semidirect
7. C₁₃×#3387	C₂	semidirect
8. C₁₃×#3385	C₂	semidirect
9. C₁₃×#3383	C₂	semidirect
10. C₁₃×#3381	C₂	semidirect
11. C₁₃×#3377	C₂	semidirect
12. C₁₃×#3377	C₂	semidirect
13. C₁₃×#3375	C₂	semidirect
14. C₁₃×#3371	C₂	semidirect
15. C₁₃×#3371	C₂	semidirect
16. C₁₃×#3369	C₂	semidirect
17. C₁₃×#3365	C₂	semidirect
18. C₁₃×#3364	C₂	semidirect
19. C₁₃×#3244	C₂	semidirect
20. C₁₃×#3243	C₂	semidirect
21. C₁₃×#3242	C₂	semidirect
23. C₁₃×#3240	C₂	semidirect
24. C₁₃×#3233	C₂	semidirect
25. C₁₃×#3127	C₂	semidirect
27. C₁₃×#3121	C₂	semidirect
28. C₁₃×#3121	C₂	semidirect
29. C₁₃×#3117	C₂	semidirect
30. C₁₃×#3108	C₂	semidirect
31. C₁₃×#2985	C₂	semidirect
478. #61856	C₁₃	direct (N × H)
661. #3502	C₂×C₁₃	semidirect
662. #3390	C₂×C₁₃	semidirect
663. #3390	C₂×C₁₃	semidirect
664. #3388	C₂×C₁₃	semidirect
665. #3388	C₂×C₁₃	semidirect
666. #3387	C₂×C₁₃	semidirect
667. #3385	C₂×C₁₃	semidirect
668. #3383	C₂×C₁₃	semidirect
669. #3381	C₂×C₁₃	semidirect
670. #3377	C₂×C₁₃	semidirect
671. #3377	C₂×C₁₃	semidirect
672. #3375	C₂×C₁₃	semidirect
673. #3371	C₂×C₁₃	semidirect
674. #3371	C₂×C₁₃	semidirect
675. #3369	C₂×C₁₃	semidirect
676. #3365	C₂×C₁₃	semidirect
677. #3364	C₂×C₁₃	semidirect
678. #3244	C₂×C₁₃	semidirect
679. #3243	C₂×C₁₃	semidirect
680. #3242	C₂×C₁₃	semidirect
682. #3240	C₂×C₁₃	semidirect
683. #3233	C₂×C₁₃	semidirect
684. #3127	C₂×C₁₃	semidirect
686. #3121	C₂×C₁₃	semidirect
687. #3121	C₂×C₁₃	semidirect
688. #3117	C₂×C₁₃	semidirect
689. #3108	C₂×C₁₃	semidirect
690. #2985	C₂×C₁₃	semidirect
1443. C₁₃	#61856	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×#3557	2
C₁₃×#3502	2
C₁₃×#3390	2
C₁₃×#3388	2
C₁₃×#3387	2
C₁₃×#3385	2
C₁₃×#3383	2
C₁₃×#3381	2
C₁₃×#3377	2
C₁₃×#3375	2
C₁₃×#3371	2
C₁₃×#3369	2
C₁₃×#3365	2
C₁₃×#3364	2
C₁₃×#3244	2
C₁₃×#3243	2
C₁₃×#3242	2
C₁₃×#3241	2
C₁₃×#3240	2
C₁₃×#3233	2
C₁₃×#3127	2
C₁₃×#3126	2
C₁₃×#3121	2
C₁₃×#3117	2
C₁₃×#3108	2
C₁₃×#2985	2
#61856	13

Subgroups — C13×#61856 #15748195

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61856 #15748195