Subgroups — C₁₃×#61861 #15748200

Order 3328.

1670 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3504	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3390	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3389	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×#3386	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3384	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3381	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3380	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3371	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3371	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3370	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3370	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3365	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3361	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×#3241	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3241	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3234	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3124	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2985	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#562	—	2	1	no	—
33	C₁₃×#562	—	2	1	no	—
34	C₁₃×#559	C₂²	1	1	yes	characteristic
35	C₁₃×#559	C₂²	1	1	yes	characteristic
36	C₁₃×#559	C₂²	1	1	yes	characteristic
37	C₁₃×#557	C₂²	1	1	yes	characteristic
38	C₁₃×#557	C₂²	1	1	yes	characteristic
39	C₁₃×#557	C₂²	1	1	yes	characteristic
40	C₁₃×#557	C₂²	1	1	yes	characteristic
41	C₁₃×#557	C₂²	1	1	yes	characteristic
42	C₁₃×#554	—	2	1	no	—
43	C₁₃×#554	—	2	1	no	—
44	C₁₃×#554	—	2	1	no	—
45	C₁₃×#554	—	2	1	no	—
46	C₁₃×#554	C₂²	1	1	yes	characteristic
47	C₁₃×#554	C₂²	1	1	yes	characteristic
48	C₁₃×#554	C₂²	1	1	yes	characteristic
49	C₁₃×#554	C₂²	1	1	yes	characteristic
50	C₁₃×#554	C₂²	1	1	yes	characteristic
51	C₁₃×#554	C₂²	1	1	yes	characteristic
52	C₁₃×#550	C₂²	1	1	yes	characteristic
53	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
54	C₁₃×#548	—	2	1	no	—
55	C₁₃×#547	—	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	C₂²	1	1	yes	characteristic
62	C₁₃×#542	C₂²	1	1	yes	characteristic
63	C₁₃×#540	C₂²	1	1	yes	characteristic
64	C₁₃×#540	C₂²	1	1	yes	characteristic
65	C₁₃×#539	—	2	1	no	—
66	C₁₃×#539	—	2	1	no	—
67	C₁₃×#536	—	2	1	no	—
68	C₁₃×#533	—	2	1	no	—
69	C₁₃×#533	C₂²	1	1	yes	characteristic
70	C₁₃×#532	C₂²	1	1	yes	characteristic
71	C₁₃×#529	C₂²	1	1	yes	characteristic
72	C₂×C₁₃×#125	—	2	1	no	—
73	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
74	C₁₃×#520	C₂²	1	1	yes	characteristic
75	C₁₃×#520	C₂²	1	1	yes	characteristic
76	C₄×C₁₃×#41	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×#490	C₂²	1	1	yes	characteristic
90	C₁₃×#490	C₂²	1	1	yes	characteristic
91	C₁₃×#490	C₂²	1	1	yes	characteristic
92	C₁₃×#490	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×#486	C₂²	1	1	yes	characteristic
100	C₁₃×#486	C₂²	1	1	yes	characteristic
101	C₁₃×#485	C₂²	1	1	yes	characteristic
102	C₁₃×#484	C₂²	1	1	yes	characteristic
103	C₁₃×#483	C₂²	1	1	yes	characteristic
104	C₁₃×#482	C₂²	1	1	yes	characteristic
105	C₁₃×#482	C₂²	1	1	yes	characteristic
106	C₁₃×#482	C₂²	1	1	yes	characteristic
107	C₁₃×#481	C₂²	1	1	yes	characteristic
108	C₁₃×#481	C₂²	1	1	yes	characteristic
109	C₁₃×#481	C₂²	1	1	yes	characteristic
110	C₁₃×#480	C₂²	1	1	yes	characteristic
111	C₁₃×#480	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×#478	C₂²	1	1	yes	characteristic
121	C₁₃×#478	C₂²	1	1	yes	characteristic
122	C₁₃×#478	C₂²	1	1	yes	characteristic
123	C₁₃×#478	C₂²	1	1	yes	characteristic
124	C₁₃×#478	C₂²	1	1	yes	characteristic
125	C₁₃×#478	C₂²	1	1	yes	characteristic
126	C₁₃×#478	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×#478	C₂²	1	1	yes	characteristic
134	C₁₃×#478	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×#476	C₂²	1	1	yes	characteristic
142	C₁₃×#476	C₂²	1	1	yes	characteristic
143	C₁₃×#475	C₂²	1	1	yes	characteristic
144	C₁₃×#475	C₂²	1	1	yes	characteristic
145	C₁₃×#474	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×#463	C₂²	1	1	yes	characteristic
153	C₁₃×#463	C₂²	1	1	yes	characteristic
154	C₁₃×#463	C₂²	1	1	yes	characteristic
155	C₁₃×#460	C₂²	1	1	yes	characteristic
156	C₁₃×#460	C₂²	1	1	yes	characteristic
157	C₁₃×#460	C₂²	1	1	yes	characteristic
158	C₁₃×#459	C₂²	1	1	yes	characteristic
159	C₁₃×#459	C₂²	1	1	yes	characteristic
160	C₁₃×#459	C₂²	1	1	yes	characteristic
161	C₁₃×#452	C₂²	1	1	yes	characteristic
162	C₁₃×#449	C₂²	1	1	yes	characteristic
163	C₁₃×#449	C₂²	1	1	yes	characteristic
164	C₁₃×#449	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×#442	C₂²	1	1	yes	characteristic
174	C₁₃×#442	C₂²	1	1	yes	characteristic
175	C₁₃×#442	C₂²	1	1	yes	characteristic
176	C₁₃×#442	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×SD₁₆	C₂²	1	1	yes	characteristic
187	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
188	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
189	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
190	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
191	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
192	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
193	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
194	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
195	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
196	C₄×C₁₃×D₈	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	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	—	2	1	no	—
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	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
223	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
224	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
230	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₁₃×#127	C₂³	1	1	yes	characteristic
232	C₁₃×#127	C₂³	1	1	yes	characteristic
233	C₁₃×#127	C₂³	1	1	yes	characteristic
234	C₁₃×#126	—	2	1	no	—
235	C₁₃×#126	—	2	1	no	—
236	C₁₃×#126	—	2	1	no	—
237	C₁₃×#125	—	2	1	no	—
238	C₁₃×#125	—	2	1	no	—
239	C₁₃×#125	—	2	1	no	—
240	C₁₃×#125	—	2	1	no	—
241	C₁₃×#125	—	2	1	no	—
242	C₁₃×#125	—	2	1	no	—
243	C₁₃×#125	—	2	1	no	—
244	C₁₃×#125	—	2	1	no	—
245	C₁₃×#125	—	2	1	no	—
246	C₁₃×#125	—	2	1	no	—
247	C₁₃×#125	—	2	1	no	—
248	C₁₃×#125	—	2	1	no	—
249	C₁₃×#125	—	2	1	no	—
250	C₁₃×#125	—	2	1	no	—
251	C₁₃×#125	D₄	1	1	yes	characteristic
252	C₁₃×#125	D₄	1	1	yes	characteristic
253	C₁₃×#125	C₂³	1	1	yes	characteristic
254	C₁₃×#125	C₂³	1	1	yes	characteristic
255	C₁₃×#125	C₂³	1	1	yes	characteristic
256	C₁₃×#125	C₂³	1	1	yes	characteristic
257	C₁₃×#125	C₂³	1	1	yes	characteristic
258	C₁₃×#125	C₂³	1	1	yes	characteristic
259	C₁₃×#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	—	2	1	no	—
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×C₂²⋊Q₈	—	2	1	no	—
287	C₁₃×C₂²⋊Q₈	—	2	1	no	—
288	C₁₃×C₂²⋊Q₈	—	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	—	2	1	no	—
297	C₁₃×C₂²⋊Q₈	—	2	1	no	—
298	C₁₃×C₂²⋊Q₈	—	2	1	no	—
299	C₁₃×C₂²⋊Q₈	—	2	1	no	—
300	C₁₃×C₂²⋊Q₈	—	2	1	no	—
301	C₁₃×C₂²⋊Q₈	—	2	1	no	—
302	C₁₃×C₂²⋊Q₈	—	2	1	no	—
303	C₁₃×C₂²⋊Q₈	—	2	1	no	—
304	C₁₃×C₂²⋊Q₈	—	2	1	no	—
305	C₁₃×C₂²⋊Q₈	—	2	1	no	—
306	C₁₃×C₂²⋊Q₈	—	2	1	no	—
307	C₁₃×C₂²⋊Q₈	—	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	D₄	1	1	yes	characteristic
314	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
315	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
316	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
317	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
318	C₁₃×#121	—	2	1	no	—
319	C₁₃×#121	—	2	1	no	—
320	C₁₃×#121	—	2	1	no	—
321	C₁₃×#121	—	2	1	no	—
322	C₁₃×#121	—	2	1	no	—
323	C₁₃×#121	—	2	1	no	—
324	C₁₃×#121	—	2	1	no	—
325	C₁₃×#121	—	2	1	no	—
326	C₁₃×#121	C₂³	1	1	yes	characteristic
327	C₁₃×#121	C₂³	1	1	yes	characteristic
328	C₁₃×#121	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
335	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
336	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
337	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
338	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
339	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
345	C₄×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	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
361	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
362	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
373	C₁₃×#117	—	2	1	no	—
374	C₁₃×#117	—	2	1	no	—
375	C₁₃×#117	—	2	1	no	—
376	C₁₃×#117	—	2	1	no	—
377	C₁₃×#117	C₂³	1	1	yes	characteristic
378	C₁₃×#117	C₂³	1	1	yes	characteristic
379	C₁₃×#117	C₂³	1	1	yes	characteristic
380	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
381	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
383	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
384	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×#102	C₂³	1	1	yes	characteristic
441	C₁₃×#102	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×#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	#61861	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₁₃×#41	—	2	2	no	—
480	C₁₃×#41	—	2	2	no	—
481	C₁₃×#41	—	8	2	no	—
482	C₁₃×#41	—	8	2	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	—	8	2	no	—
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	C₂×D₄	1	1	yes	characteristic
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×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	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	—	2	1	no	—
525	C₂²×C₄×C₁₃	—	2	1	no	—
526	C₂²×C₄×C₁₃	—	2	1	no	—
527	C₂²×C₄×C₁₃	—	2	1	no	—
528	C₂²×C₄×C₁₃	—	2	1	no	—
529	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₁₃×Q₁₆	—	2	2	no	—
533	C₁₃×SD₁₆	—	2	2	no	—
534	C₁₃×SD₁₆	—	2	2	no	—
535	C₁₃×SD₁₆	—	2	2	no	—
536	C₁₃×SD₁₆	—	2	2	no	—
537	C₁₃×D₈	—	2	2	no	—
538	C₁₃×D₈	—	2	2	no	—
539	C₁₃×D₈	—	2	2	no	—
540	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
541	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
542	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
543	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
544	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
546	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
547	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	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	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	C₂×D₄	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₁₃×C₂²⋊C₄	—	2	1	no	—
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
653	C₄²×C₁₃	—	2	1	no	—
654	C₄²×C₁₃	—	2	1	no	—
655	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
656	C₄²×C₁₃	C₂×D₄	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	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
661	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
662	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
663	#3554	C₂×C₁₃	1	1	yes	characteristic, complemented
664	#3504	C₂×C₁₃	1	1	yes	characteristic, complemented
665	#3390	C₂×C₁₃	1	1	yes	characteristic, complemented
666	#3389	C₂×C₁₃	1	1	yes	characteristic, complemented
667	#3388	C₂×C₁₃	1	1	yes	characteristic, complemented
668	#3388	C₂×C₁₃	1	1	yes	characteristic, complemented
669	#3386	C₂×C₁₃	1	1	yes	characteristic, complemented
670	#3384	C₂×C₁₃	1	1	yes	characteristic, complemented
671	#3381	C₂×C₁₃	1	1	yes	characteristic, complemented
672	#3380	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	#3370	C₂×C₁₃	1	1	yes	characteristic, complemented
676	#3370	C₂×C₁₃	1	1	yes	characteristic, complemented
677	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
678	#3366	C₂×C₁₃	1	1	yes	characteristic, complemented
679	#3365	C₂×C₁₃	1	1	yes	characteristic, complemented
680	#3361	C₂×C₁₃	1	1	yes	characteristic, complemented
681	#3244	C₂×C₁₃	1	1	yes	characteristic, complemented
682	#3243	C₂×C₁₃	1	1	yes	characteristic, complemented
683	#3241	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3241	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3234	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3232	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3125	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3124	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3119	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3119	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3111	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#2985	C₂×C₁₃	1	1	yes	characteristic, complemented
694	C₂³×C₁₃	—	2	1	no	—
695	C₂³×C₁₃	—	2	1	no	—
696	C₂³×C₁₃	—	2	1	no	—
697	C₂³×C₁₃	—	2	1	no	—
698	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
699	Q₈×C₁₃	—	2	1	no	—
700	Q₈×C₁₃	—	2	1	no	—
701	Q₈×C₁₃	—	2	1	no	—
702	Q₈×C₁₃	—	4	1	no	—
703	Q₈×C₁₃	—	4	1	no	—
704	Q₈×C₁₃	—	4	1	no	—
705	Q₈×C₁₃	—	4	1	no	—
706	Q₈×C₁₃	—	4	2	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	D₄×C₁₃	—	2	4	no	—
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	—	2	1	no	—
720	D₄×C₁₃	—	2	1	no	—
721	D₄×C₁₃	—	2	1	no	—
722	D₄×C₁₃	—	4	2	no	—
723	D₄×C₁₃	—	8	1	no	—
724	D₄×C₁₃	—	8	1	no	—
725	D₄×C₁₃	—	8	1	no	—
726	D₄×C₁₃	—	8	1	no	—
727	D₄×C₁₃	—	8	1	no	—
728	D₄×C₁₃	—	8	1	no	—
729	D₄×C₁₃	—	8	1	no	—
730	D₄×C₁₃	—	8	1	no	—
731	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
732	C₂×C₄×C₁₃	—	2	4	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	—	2	1	no	—
741	C₂×C₄×C₁₃	—	2	1	no	—
742	C₂×C₄×C₁₃	—	2	1	no	—
743	C₂×C₄×C₁₃	—	2	1	no	—
744	C₂×C₄×C₁₃	—	2	1	no	—
745	C₂×C₄×C₁₃	—	2	1	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	4	1	no	—
748	C₂×C₄×C₁₃	—	4	1	no	—
749	C₂×C₄×C₁₃	—	4	2	no	—
750	C₂×C₄×C₁₃	—	8	1	no	—
751	C₂×C₄×C₁₃	—	8	1	no	—
752	C₂×C₄×C₁₃	—	8	1	no	—
753	C₂×C₄×C₁₃	—	8	1	no	—
754	C₂×C₄×C₁₃	—	8	1	no	—
755	C₂×C₄×C₁₃	—	8	1	no	—
756	C₂×C₄×C₁₃	—	8	1	no	—
757	C₂×C₄×C₁₃	—	8	1	no	—
758	C₂×C₄×C₁₃	—	8	1	no	—
759	C₂×C₄×C₁₃	—	8	1	no	—
760	C₂×C₄×C₁₃	—	8	1	no	—
761	C₂×C₄×C₁₃	—	8	1	no	—
762	C₂×C₄×C₁₃	—	8	1	no	—
763	C₂×C₄×C₁₃	—	8	1	no	—
764	C₂×C₄×C₁₃	—	8	1	no	—
765	C₂×C₄×C₁₃	—	8	1	no	—
766	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
780	C₈×C₁₃	—	2	1	no	—
781	C₈×C₁₃	—	2	1	no	—
782	C₈×C₁₃	—	2	1	no	—
783	C₈×C₁₃	—	2	1	no	—
784	C₈×C₁₃	—	2	1	no	—
785	C₈×C₁₃	—	2	1	no	—
786	C₈×C₁₃	—	2	1	no	—
787	C₈×C₁₃	—	2	1	no	—
788	#562	—	2	1	no	—
789	#562	—	2	1	no	—
790	#559	C₂²×C₁₃	1	1	yes	characteristic
791	#559	C₂²×C₁₃	1	1	yes	characteristic
792	#559	C₂²×C₁₃	1	1	yes	characteristic
793	#557	C₂²×C₁₃	1	1	yes	characteristic
794	#557	C₂²×C₁₃	1	1	yes	characteristic
795	#557	C₂²×C₁₃	1	1	yes	characteristic
796	#557	C₂²×C₁₃	1	1	yes	characteristic
797	#557	C₂²×C₁₃	1	1	yes	characteristic
798	#554	—	2	1	no	—
799	#554	—	2	1	no	—
800	#554	—	2	1	no	—
801	#554	—	2	1	no	—
802	#554	C₂²×C₁₃	1	1	yes	characteristic
803	#554	C₂²×C₁₃	1	1	yes	characteristic
804	#554	C₂²×C₁₃	1	1	yes	characteristic
805	#554	C₂²×C₁₃	1	1	yes	characteristic
806	#554	C₂²×C₁₃	1	1	yes	characteristic
807	#554	C₂²×C₁₃	1	1	yes	characteristic
808	#550	C₂²×C₁₃	1	1	yes	characteristic
809	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
810	#548	—	2	1	no	—
811	#547	—	2	1	no	—
812	#544	—	2	1	no	—
813	#544	—	2	1	no	—
814	#544	C₂²×C₁₃	1	1	yes	characteristic
815	#544	C₂²×C₁₃	1	1	yes	characteristic
816	#542	—	2	1	no	—
817	#542	C₂²×C₁₃	1	1	yes	characteristic
818	#542	C₂²×C₁₃	1	1	yes	characteristic
819	#540	C₂²×C₁₃	1	1	yes	characteristic
820	#540	C₂²×C₁₃	1	1	yes	characteristic
821	#539	—	2	1	no	—
822	#539	—	2	1	no	—
823	#536	—	2	1	no	—
824	#533	—	2	1	no	—
825	#533	C₂²×C₁₃	1	1	yes	characteristic
826	#532	C₂²×C₁₃	1	1	yes	characteristic
827	#529	C₂²×C₁₃	1	1	yes	characteristic
828	C₂×#125	—	2	1	no	—
829	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
830	#520	C₂²×C₁₃	1	1	yes	characteristic
831	#520	C₂²×C₁₃	1	1	yes	characteristic
832	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
833	#501	C₂²×C₁₃	1	1	yes	characteristic
834	#501	C₂²×C₁₃	1	1	yes	characteristic
835	#501	C₂²×C₁₃	1	1	yes	characteristic
836	#501	C₂²×C₁₃	1	1	yes	characteristic
837	#501	C₂²×C₁₃	1	1	yes	characteristic
838	#501	C₂²×C₁₃	1	1	yes	characteristic
839	#500	C₂²×C₁₃	1	1	yes	characteristic
840	#499	C₂²×C₁₃	1	1	yes	characteristic
841	#499	C₂²×C₁₃	1	1	yes	characteristic
842	#499	C₂²×C₁₃	1	1	yes	characteristic
843	#499	C₂²×C₁₃	1	1	yes	characteristic
844	#498	C₂²×C₁₃	1	1	yes	characteristic
845	#490	C₂²×C₁₃	1	1	yes	characteristic
846	#490	C₂²×C₁₃	1	1	yes	characteristic
847	#490	C₂²×C₁₃	1	1	yes	characteristic
848	#490	C₂²×C₁₃	1	1	yes	characteristic
849	#489	C₂²×C₁₃	1	1	yes	characteristic
850	#489	C₂²×C₁₃	1	1	yes	characteristic
851	#488	C₂²×C₁₃	1	1	yes	characteristic
852	#488	C₂²×C₁₃	1	1	yes	characteristic
853	#488	C₂²×C₁₃	1	1	yes	characteristic
854	#488	C₂²×C₁₃	1	1	yes	characteristic
855	#486	C₂²×C₁₃	1	1	yes	characteristic
856	#486	C₂²×C₁₃	1	1	yes	characteristic
857	#485	C₂²×C₁₃	1	1	yes	characteristic
858	#484	C₂²×C₁₃	1	1	yes	characteristic
859	#483	C₂²×C₁₃	1	1	yes	characteristic
860	#482	C₂²×C₁₃	1	1	yes	characteristic
861	#482	C₂²×C₁₃	1	1	yes	characteristic
862	#482	C₂²×C₁₃	1	1	yes	characteristic
863	#481	C₂²×C₁₃	1	1	yes	characteristic
864	#481	C₂²×C₁₃	1	1	yes	characteristic
865	#481	C₂²×C₁₃	1	1	yes	characteristic
866	#480	C₂²×C₁₃	1	1	yes	characteristic
867	#480	C₂²×C₁₃	1	1	yes	characteristic
868	#480	C₂²×C₁₃	1	1	yes	characteristic
869	#479	C₂²×C₁₃	1	1	yes	characteristic
870	#479	C₂²×C₁₃	1	1	yes	characteristic
871	#479	C₂²×C₁₃	1	1	yes	characteristic
872	#479	C₂²×C₁₃	1	1	yes	characteristic
873	#479	C₂²×C₁₃	1	1	yes	characteristic
874	#479	C₂²×C₁₃	1	1	yes	characteristic
875	#479	C₂²×C₁₃	1	1	yes	characteristic
876	#478	C₂²×C₁₃	1	1	yes	characteristic
877	#478	C₂²×C₁₃	1	1	yes	characteristic
878	#478	C₂²×C₁₃	1	1	yes	characteristic
879	#478	C₂²×C₁₃	1	1	yes	characteristic
880	#478	C₂²×C₁₃	1	1	yes	characteristic
881	#478	C₂²×C₁₃	1	1	yes	characteristic
882	#478	C₂²×C₁₃	1	1	yes	characteristic
883	#478	C₂²×C₁₃	1	1	yes	characteristic
884	#478	C₂²×C₁₃	1	1	yes	characteristic
885	#478	C₂²×C₁₃	1	1	yes	characteristic
886	#478	C₂²×C₁₃	1	1	yes	characteristic
887	#478	C₂²×C₁₃	1	1	yes	characteristic
888	#478	C₂²×C₁₃	1	1	yes	characteristic
889	#478	C₂²×C₁₃	1	1	yes	characteristic
890	#478	C₂²×C₁₃	1	1	yes	characteristic
891	#477	C₂²×C₁₃	1	1	yes	characteristic
892	#477	C₂²×C₁₃	1	1	yes	characteristic
893	#477	C₂²×C₁₃	1	1	yes	characteristic
894	#476	C₂²×C₁₃	1	1	yes	characteristic
895	#476	C₂²×C₁₃	1	1	yes	characteristic
896	#476	C₂²×C₁₃	1	1	yes	characteristic
897	#476	C₂²×C₁₃	1	1	yes	characteristic
898	#476	C₂²×C₁₃	1	1	yes	characteristic
899	#475	C₂²×C₁₃	1	1	yes	characteristic
900	#475	C₂²×C₁₃	1	1	yes	characteristic
901	#474	C₂²×C₁₃	1	1	yes	characteristic
902	#474	C₂²×C₁₃	1	1	yes	characteristic
903	#474	C₂²×C₁₃	1	1	yes	characteristic
904	#474	C₂²×C₁₃	1	1	yes	characteristic
905	#464	C₂²×C₁₃	1	1	yes	characteristic
906	#464	C₂²×C₁₃	1	1	yes	characteristic
907	#464	C₂²×C₁₃	1	1	yes	characteristic
908	#463	C₂²×C₁₃	1	1	yes	characteristic
909	#463	C₂²×C₁₃	1	1	yes	characteristic
910	#463	C₂²×C₁₃	1	1	yes	characteristic
911	#460	C₂²×C₁₃	1	1	yes	characteristic
912	#460	C₂²×C₁₃	1	1	yes	characteristic
913	#460	C₂²×C₁₃	1	1	yes	characteristic
914	#459	C₂²×C₁₃	1	1	yes	characteristic
915	#459	C₂²×C₁₃	1	1	yes	characteristic
916	#459	C₂²×C₁₃	1	1	yes	characteristic
917	#452	C₂²×C₁₃	1	1	yes	characteristic
918	#449	C₂²×C₁₃	1	1	yes	characteristic
919	#449	C₂²×C₁₃	1	1	yes	characteristic
920	#449	C₂²×C₁₃	1	1	yes	characteristic
921	#446	C₂²×C₁₃	1	1	yes	characteristic
922	#446	C₂²×C₁₃	1	1	yes	characteristic
923	#446	C₂²×C₁₃	1	1	yes	characteristic
924	#446	C₂²×C₁₃	1	1	yes	characteristic
925	#446	C₂²×C₁₃	1	1	yes	characteristic
926	#446	C₂²×C₁₃	1	1	yes	characteristic
927	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
928	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
929	#442	C₂²×C₁₃	1	1	yes	characteristic
930	#442	C₂²×C₁₃	1	1	yes	characteristic
931	#442	C₂²×C₁₃	1	1	yes	characteristic
932	#442	C₂²×C₁₃	1	1	yes	characteristic
933	#441	C₂²×C₁₃	1	1	yes	characteristic
934	#441	C₂²×C₁₃	1	1	yes	characteristic
935	#440	C₂²×C₁₃	1	1	yes	characteristic
936	#440	C₂²×C₁₃	1	1	yes	characteristic
937	#440	C₂²×C₁₃	1	1	yes	characteristic
938	#440	C₂²×C₁₃	1	1	yes	characteristic
939	#440	C₂²×C₁₃	1	1	yes	characteristic
940	#440	C₂²×C₁₃	1	1	yes	characteristic
941	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
942	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
943	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
944	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
945	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
946	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
947	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
948	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
949	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
950	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
951	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
952	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
953	#433	C₂²×C₁₃	1	1	yes	characteristic
954	#433	C₂²×C₁₃	1	1	yes	characteristic
955	#433	C₂²×C₁₃	1	1	yes	characteristic
956	#433	C₂²×C₁₃	1	1	yes	characteristic
957	#432	C₂²×C₁₃	1	1	yes	characteristic
958	#431	C₂²×C₁₃	1	1	yes	characteristic
959	C₂²×C₁₃	—	2	1	no	—
960	C₂²×C₁₃	—	2	1	no	—
961	C₂²×C₁₃	—	2	1	no	—
962	C₂²×C₁₃	—	2	2	no	—
963	C₂²×C₁₃	—	4	1	no	—
964	C₂²×C₁₃	—	4	1	no	—
965	C₂²×C₁₃	—	4	1	no	—
966	C₂²×C₁₃	—	4	1	no	—
967	C₂²×C₁₃	—	4	1	no	—
968	C₂²×C₁₃	—	4	1	no	—
969	C₂²×C₁₃	—	4	1	no	—
970	C₂²×C₁₃	—	4	1	no	—
971	C₂²×C₁₃	—	4	1	no	—
972	C₂²×C₁₃	—	4	1	no	—
973	C₂²×C₁₃	—	4	1	no	—
974	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
975	C₄×C₁₃	—	2	1	no	—
976	C₄×C₁₃	—	2	1	no	—
977	C₄×C₁₃	—	2	1	no	—
978	C₄×C₁₃	—	2	1	no	—
979	C₄×C₁₃	—	2	1	no	—
980	C₄×C₁₃	—	2	1	no	—
981	C₄×C₁₃	—	2	1	no	—
982	C₄×C₁₃	—	2	1	no	—
983	C₄×C₁₃	—	2	1	no	—
984	C₄×C₁₃	—	2	1	no	—
985	C₄×C₁₃	—	2	1	no	—
986	C₄×C₁₃	—	2	1	no	—
987	C₄×C₁₃	—	2	1	no	—
988	C₄×C₁₃	—	2	2	no	—
989	C₄×C₁₃	—	4	1	no	—
990	C₄×C₁₃	—	4	1	no	—
991	C₄×C₁₃	—	4	1	no	—
992	C₄×C₁₃	—	4	1	no	—
993	C₄×C₁₃	—	4	1	no	—
994	C₄×C₁₃	—	4	1	no	—
995	C₄×C₁₃	—	4	1	no	—
996	C₄×C₁₃	—	4	1	no	—
997	C₄×C₁₃	—	4	1	no	—
998	C₄×C₁₃	—	4	1	no	—
999	C₄×C₁₃	—	4	1	no	—
1000	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1001	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1002	C₂×#41	—	2	1	no	—
1003	C₂×#41	—	2	1	no	—
1004	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1005	C₂²×Q₈	—	2	1	no	—
1006	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1007	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1009	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1010	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1011	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1014	C₄⋊Q₈	—	2	1	no	—
1015	C₄⋊Q₈	—	2	1	no	—
1016	C₄⋊Q₈	—	2	1	no	—
1017	C₄⋊Q₈	—	2	1	no	—
1018	C₄⋊Q₈	—	2	1	no	—
1019	C₄⋊Q₈	—	2	1	no	—
1020	C₄⋊Q₈	—	2	1	no	—
1021	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1022	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1023	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1024	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1025	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1026	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1027	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1028	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1029	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1030	#127	C₂³×C₁₃	1	1	yes	characteristic
1031	#127	C₂³×C₁₃	1	1	yes	characteristic
1032	#127	C₂³×C₁₃	1	1	yes	characteristic
1033	#126	—	2	1	no	—
1034	#126	—	2	1	no	—
1035	#126	—	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	—	2	1	no	—
1049	#125	—	2	1	no	—
1050	#125	D₄×C₁₃	1	1	yes	characteristic
1051	#125	D₄×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	#125	C₂³×C₁₃	1	1	yes	characteristic
1061	#125	C₂³×C₁₃	1	1	yes	characteristic
1062	#125	C₂³×C₁₃	1	1	yes	characteristic
1063	#124	—	2	1	no	—
1064	#124	—	2	1	no	—
1065	#124	—	2	1	no	—
1066	#124	—	2	1	no	—
1067	#124	—	2	1	no	—
1068	#124	—	2	1	no	—
1069	#124	C₂³×C₁₃	1	1	yes	characteristic
1070	#124	C₂³×C₁₃	1	1	yes	characteristic
1071	#124	C₂³×C₁₃	1	1	yes	characteristic
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	#123	—	2	1	no	—
1079	#123	—	2	1	no	—
1080	#123	—	2	1	no	—
1081	#123	—	2	1	no	—
1082	#123	—	2	1	no	—
1083	#123	—	2	1	no	—
1084	#123	—	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	—	2	1	no	—
1095	C₂²⋊Q₈	—	2	1	no	—
1096	C₂²⋊Q₈	—	2	1	no	—
1097	C₂²⋊Q₈	—	2	1	no	—
1098	C₂²⋊Q₈	—	2	1	no	—
1099	C₂²⋊Q₈	—	2	1	no	—
1100	C₂²⋊Q₈	—	2	1	no	—
1101	C₂²⋊Q₈	—	2	1	no	—
1102	C₂²⋊Q₈	—	2	1	no	—
1103	C₂²⋊Q₈	—	2	1	no	—
1104	C₂²⋊Q₈	—	2	1	no	—
1105	C₂²⋊Q₈	—	2	1	no	—
1106	C₂²⋊Q₈	—	2	1	no	—
1107	C₂²⋊Q₈	—	2	1	no	—
1108	C₂²⋊Q₈	—	2	1	no	—
1109	C₂²⋊Q₈	—	2	1	no	—
1110	C₂²⋊Q₈	—	2	1	no	—
1111	C₂²⋊Q₈	—	2	1	no	—
1112	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1113	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1114	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1115	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1116	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1117	#121	—	2	1	no	—
1118	#121	—	2	1	no	—
1119	#121	—	2	1	no	—
1120	#121	—	2	1	no	—
1121	#121	—	2	1	no	—
1122	#121	—	2	1	no	—
1123	#121	—	2	1	no	—
1124	#121	—	2	1	no	—
1125	#121	C₂³×C₁₃	1	1	yes	characteristic
1126	#121	C₂³×C₁₃	1	1	yes	characteristic
1127	#121	C₂³×C₁₃	1	1	yes	characteristic
1128	C₄×Q₈	—	2	1	no	—
1129	C₄×Q₈	—	2	1	no	—
1130	C₄×Q₈	—	2	1	no	—
1131	C₄×Q₈	—	2	1	no	—
1132	C₄×Q₈	—	2	1	no	—
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×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1145	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1146	C₄×D₄	—	2	1	no	—
1147	C₄×D₄	—	2	1	no	—
1148	C₄×D₄	—	2	1	no	—
1149	C₄×D₄	—	2	1	no	—
1150	C₄×D₄	—	2	1	no	—
1151	C₄×D₄	—	2	1	no	—
1152	C₄×D₄	—	2	1	no	—
1153	C₄×D₄	—	2	1	no	—
1154	C₄×D₄	—	2	1	no	—
1155	C₄×D₄	—	2	1	no	—
1156	C₄×D₄	—	2	1	no	—
1157	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1158	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1159	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1160	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1161	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1162	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1163	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1164	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1165	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1166	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1167	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1168	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1169	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1170	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1171	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1172	#117	—	2	1	no	—
1173	#117	—	2	1	no	—
1174	#117	—	2	1	no	—
1175	#117	—	2	1	no	—
1176	#117	C₂³×C₁₃	1	1	yes	characteristic
1177	#117	C₂³×C₁₃	1	1	yes	characteristic
1178	#117	C₂³×C₁₃	1	1	yes	characteristic
1179	C₂×C₄⋊C₄	—	2	1	no	—
1180	C₂×C₄⋊C₄	—	2	1	no	—
1181	C₂×C₄⋊C₄	—	2	1	no	—
1182	C₂×C₄⋊C₄	—	2	1	no	—
1183	C₂×C₄⋊C₄	—	2	1	no	—
1184	C₂×C₄⋊C₄	—	2	1	no	—
1185	C₂×C₄⋊C₄	—	2	1	no	—
1186	C₂×C₄⋊C₄	—	2	1	no	—
1187	C₂×C₄⋊C₄	—	2	1	no	—
1188	C₂×C₄⋊C₄	—	2	1	no	—
1189	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1190	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1191	C₂×C₄²	—	2	1	no	—
1192	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1193	#107	C₂³×C₁₃	1	1	yes	characteristic
1194	#107	C₂³×C₁₃	1	1	yes	characteristic
1195	#107	C₂³×C₁₃	1	1	yes	characteristic
1196	#107	C₂³×C₁₃	1	1	yes	characteristic
1197	#107	C₂³×C₁₃	1	1	yes	characteristic
1198	#107	C₂³×C₁₃	1	1	yes	characteristic
1199	#107	C₂³×C₁₃	1	1	yes	characteristic
1200	#107	C₂³×C₁₃	1	1	yes	characteristic
1201	#107	C₂³×C₁₃	1	1	yes	characteristic
1202	#107	C₂³×C₁₃	1	1	yes	characteristic
1203	#107	C₂³×C₁₃	1	1	yes	characteristic
1204	#107	C₂³×C₁₃	1	1	yes	characteristic
1205	#106	C₂³×C₁₃	1	1	yes	characteristic
1206	#106	C₂³×C₁₃	1	1	yes	characteristic
1207	#106	C₂³×C₁₃	1	1	yes	characteristic
1208	#106	C₂³×C₁₃	1	1	yes	characteristic
1209	#106	C₂³×C₁₃	1	1	yes	characteristic
1210	#106	C₂³×C₁₃	1	1	yes	characteristic
1211	#106	C₂³×C₁₃	1	1	yes	characteristic
1212	#106	C₂³×C₁₃	1	1	yes	characteristic
1213	#106	C₂³×C₁₃	1	1	yes	characteristic
1214	#106	C₂³×C₁₃	1	1	yes	characteristic
1215	#106	C₂³×C₁₃	1	1	yes	characteristic
1216	#106	C₂³×C₁₃	1	1	yes	characteristic
1217	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1218	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1219	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1220	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1221	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1222	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1223	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1224	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1225	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1226	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1227	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1228	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1229	#103	C₂³×C₁₃	1	1	yes	characteristic
1230	#103	C₂³×C₁₃	1	1	yes	characteristic
1231	#103	C₂³×C₁₃	1	1	yes	characteristic
1232	#103	C₂³×C₁₃	1	1	yes	characteristic
1233	#103	C₂³×C₁₃	1	1	yes	characteristic
1234	#103	C₂³×C₁₃	1	1	yes	characteristic
1235	#103	C₂³×C₁₃	1	1	yes	characteristic
1236	#103	C₂³×C₁₃	1	1	yes	characteristic
1237	#103	C₂³×C₁₃	1	1	yes	characteristic
1238	#103	C₂³×C₁₃	1	1	yes	characteristic
1239	#102	C₂³×C₁₃	1	1	yes	characteristic
1240	#102	C₂³×C₁₃	1	1	yes	characteristic
1241	#102	C₂³×C₁₃	1	1	yes	characteristic
1242	#102	C₂³×C₁₃	1	1	yes	characteristic
1243	#102	C₂³×C₁₃	1	1	yes	characteristic
1244	#102	C₂³×C₁₃	1	1	yes	characteristic
1245	#102	C₂³×C₁₃	1	1	yes	characteristic
1246	#102	C₂³×C₁₃	1	1	yes	characteristic
1247	#102	C₂³×C₁₃	1	1	yes	characteristic
1248	#102	C₂³×C₁₃	1	1	yes	characteristic
1249	#102	C₂³×C₁₃	1	1	yes	characteristic
1250	#102	C₂³×C₁₃	1	1	yes	characteristic
1251	#102	C₂³×C₁₃	1	1	yes	characteristic
1252	#102	C₂³×C₁₃	1	1	yes	characteristic
1253	#102	C₂³×C₁₃	1	1	yes	characteristic
1254	#102	C₂³×C₁₃	1	1	yes	characteristic
1255	#102	C₂³×C₁₃	1	1	yes	characteristic
1256	#102	C₂³×C₁₃	1	1	yes	characteristic
1257	#102	C₂³×C₁₃	1	1	yes	characteristic
1258	#102	C₂³×C₁₃	1	1	yes	characteristic
1259	#102	C₂³×C₁₃	1	1	yes	characteristic
1260	#102	C₂³×C₁₃	1	1	yes	characteristic
1261	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1262	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1263	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1264	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1265	#97	C₂³×C₁₃	1	1	yes	characteristic
1266	#97	C₂³×C₁₃	1	1	yes	characteristic
1267	#97	C₂³×C₁₃	1	1	yes	characteristic
1268	#97	C₂³×C₁₃	1	1	yes	characteristic
1269	#97	C₂³×C₁₃	1	1	yes	characteristic
1270	#97	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	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1275	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1276	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1277	C₂×C₁₃	—	4	1	no	—
1278	C₂×C₁₃	—	4	2	no	—
1279	C₂×C₁₃	—	8	1	no	—
1280	C₂×C₁₃	—	8	1	no	—
1281	C₂×C₁₃	—	8	1	no	—
1282	C₂×C₁₃	#3486	1	1	yes	characteristic
1283	C₂×C₁₃	#3584	1	1	yes	characteristic
1284	C₂×C₁₃	#3585	1	1	yes	characteristic
1285	#41	—	2	2	no	—
1286	#41	—	2	2	no	—
1287	#41	—	8	2	no	—
1288	#41	—	8	2	no	—
1289	C₂×Q₈	—	2	1	no	—
1290	C₂×Q₈	—	2	1	no	—
1291	C₂×Q₈	—	2	1	no	—
1292	C₂×Q₈	—	2	1	no	—
1293	C₂×Q₈	—	2	1	no	—
1294	C₂×Q₈	—	2	1	no	—
1295	C₂×Q₈	—	2	1	no	—
1296	C₂×Q₈	—	8	2	no	—
1297	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1298	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1299	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1300	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1301	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1302	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1303	C₂×D₄	—	2	1	no	—
1304	C₂×D₄	—	2	1	no	—
1305	C₂×D₄	—	2	1	no	—
1306	C₂×D₄	—	2	1	no	—
1307	C₂×D₄	—	2	1	no	—
1308	C₂×D₄	—	2	1	no	—
1309	C₂×D₄	—	2	1	no	—
1310	C₂×D₄	—	2	1	no	—
1311	C₂×D₄	—	2	1	no	—
1312	C₂×D₄	—	2	1	no	—
1313	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1314	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1315	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1316	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1317	C₂²×C₄	—	2	1	no	—
1318	C₂²×C₄	—	2	1	no	—
1319	C₂²×C₄	—	2	1	no	—
1320	C₂²×C₄	—	2	1	no	—
1321	C₂²×C₄	—	2	1	no	—
1322	C₂²×C₄	—	2	1	no	—
1323	C₂²×C₄	—	2	1	no	—
1324	C₂²×C₄	—	2	1	no	—
1325	C₂²×C₄	—	2	1	no	—
1326	C₂²×C₄	—	2	1	no	—
1327	C₂²×C₄	—	2	1	no	—
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	2	1	no	—
1331	C₂²×C₄	—	2	1	no	—
1332	C₂²×C₄	—	2	1	no	—
1333	C₂²×C₄	—	2	1	no	—
1334	C₂²×C₄	—	2	1	no	—
1335	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1336	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1337	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1338	Q₁₆	—	2	2	no	—
1339	SD₁₆	—	2	2	no	—
1340	SD₁₆	—	2	2	no	—
1341	SD₁₆	—	2	2	no	—
1342	SD₁₆	—	2	2	no	—
1343	D₈	—	2	2	no	—
1344	D₈	—	2	2	no	—
1345	D₈	—	2	2	no	—
1346	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1347	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1348	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1349	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1350	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1351	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1352	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1353	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1396	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1397	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1398	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1399	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1400	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1401	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1402	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1403	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1404	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1407	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1408	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1409	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1410	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1411	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1412	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1413	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1414	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1415	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1416	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1417	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1418	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1419	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1420	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1421	C₂²⋊C₄	—	2	1	no	—
1422	C₂²⋊C₄	—	2	1	no	—
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1448	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1449	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1450	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1451	C₄²	—	2	1	no	—
1452	C₄²	—	2	1	no	—
1453	C₄²	—	2	1	no	—
1454	C₄²	—	2	1	no	—
1455	C₄²	—	2	1	no	—
1456	C₄²	—	2	1	no	—
1457	C₄²	—	2	1	no	—
1458	C₄²	—	2	1	no	—
1459	C₄²	—	2	1	no	—
1460	C₄²	—	2	1	no	—
1461	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1462	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1463	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1464	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1465	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1466	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1467	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1468	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1469	C₁₃	#61861	1	1	yes	characteristic, direct product factor, Sylow
1470	C₂³	—	2	1	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	2	1	no	—
1473	C₂³	—	2	1	no	—
1474	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1475	Q₈	—	2	1	no	—
1476	Q₈	—	2	1	no	—
1477	Q₈	—	2	1	no	—
1478	Q₈	—	4	1	no	—
1479	Q₈	—	4	1	no	—
1480	Q₈	—	4	1	no	—
1481	Q₈	—	4	1	no	—
1482	Q₈	—	4	2	no	—
1483	Q₈	—	8	1	no	—
1484	Q₈	—	8	1	no	—
1485	Q₈	—	8	1	no	—
1486	Q₈	—	8	1	no	—
1487	Q₈	—	8	1	no	—
1488	Q₈	—	8	1	no	—
1489	Q₈	C₁₃×2₋¹⁺⁴	1	2	yes	—
1490	D₄	—	2	4	no	—
1491	D₄	—	2	1	no	—
1492	D₄	—	2	1	no	—
1493	D₄	—	2	1	no	—
1494	D₄	—	2	1	no	—
1495	D₄	—	2	1	no	—
1496	D₄	—	2	1	no	—
1497	D₄	—	2	1	no	—
1498	D₄	—	4	2	no	—
1499	D₄	—	8	1	no	—
1500	D₄	—	8	1	no	—
1501	D₄	—	8	1	no	—
1502	D₄	—	8	1	no	—
1503	D₄	—	8	1	no	—
1504	D₄	—	8	1	no	—
1505	D₄	—	8	1	no	—
1506	D₄	—	8	1	no	—
1507	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1508	C₂×C₄	—	2	4	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	4	1	no	—
1525	C₂×C₄	—	4	2	no	—
1526	C₂×C₄	—	8	1	no	—
1527	C₂×C₄	—	8	1	no	—
1528	C₂×C₄	—	8	1	no	—
1529	C₂×C₄	—	8	1	no	—
1530	C₂×C₄	—	8	1	no	—
1531	C₂×C₄	—	8	1	no	—
1532	C₂×C₄	—	8	1	no	—
1533	C₂×C₄	—	8	1	no	—
1534	C₂×C₄	—	8	1	no	—
1535	C₂×C₄	—	8	1	no	—
1536	C₂×C₄	—	8	1	no	—
1537	C₂×C₄	—	8	1	no	—
1538	C₂×C₄	—	8	1	no	—
1539	C₂×C₄	—	8	1	no	—
1540	C₂×C₄	—	8	1	no	—
1541	C₂×C₄	—	8	1	no	—
1542	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1543	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1544	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1545	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1546	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1547	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1548	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1549	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1550	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1551	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1552	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1553	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1554	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1555	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1556	C₈	—	2	1	no	—
1557	C₈	—	2	1	no	—
1558	C₈	—	2	1	no	—
1559	C₈	—	2	1	no	—
1560	C₈	—	2	1	no	—
1561	C₈	—	2	1	no	—
1562	C₈	—	2	1	no	—
1563	C₈	—	2	1	no	—
1564	C₂²	—	2	1	no	—
1565	C₂²	—	2	1	no	—
1566	C₂²	—	2	1	no	—
1567	C₂²	—	2	2	no	—
1568	C₂²	—	4	1	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	4	1	no	—
1576	C₂²	—	4	1	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	4	1	no	—
1579	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1580	C₄	—	2	1	no	—
1581	C₄	—	2	1	no	—
1582	C₄	—	2	1	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	2	2	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1606	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1607	C₂	—	4	1	no	—
1608	C₂	—	4	2	no	—
1609	C₂	—	8	1	no	—
1610	C₂	—	8	1	no	—
1611	C₂	—	8	1	no	—
1612	C₂	C₁₃×#3486	1	1	yes	characteristic
1613	C₂	C₁₃×#3584	1	1	yes	characteristic
1614	C₂	C₁₃×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3554	C₂	semidirect
2. C₁₃×#3504	C₂	semidirect
3. C₁₃×#3390	C₂	semidirect
4. C₁₃×#3389	C₂	semidirect
5. C₁₃×#3388	C₂	semidirect
6. C₁₃×#3388	C₂	semidirect
7. C₁₃×#3386	C₂	semidirect
8. C₁₃×#3384	C₂	semidirect
9. C₁₃×#3381	C₂	semidirect
10. C₁₃×#3380	C₂	semidirect
11. C₁₃×#3371	C₂	semidirect
12. C₁₃×#3371	C₂	semidirect
13. C₁₃×#3370	C₂	semidirect
14. C₁₃×#3370	C₂	semidirect
15. C₁₃×#3368	C₂	semidirect
16. C₁₃×#3366	C₂	semidirect
17. C₁₃×#3365	C₂	semidirect
18. C₁₃×#3361	C₂	semidirect
19. C₁₃×#3244	C₂	semidirect
20. C₁₃×#3243	C₂	semidirect
21. C₁₃×#3241	C₂	semidirect
22. C₁₃×#3241	C₂	semidirect
23. C₁₃×#3234	C₂	semidirect
24. C₁₃×#3232	C₂	semidirect
25. C₁₃×#3125	C₂	semidirect
26. C₁₃×#3124	C₂	semidirect
27. C₁₃×#3119	C₂	semidirect
28. C₁₃×#3119	C₂	semidirect
29. C₁₃×#3111	C₂	semidirect
30. C₁₃×#3106	C₂	semidirect
31. C₁₃×#2985	C₂	semidirect
478. #61861	C₁₃	direct (N × H)
663. #3554	C₂×C₁₃	semidirect
664. #3504	C₂×C₁₃	semidirect
665. #3390	C₂×C₁₃	semidirect
666. #3389	C₂×C₁₃	semidirect
667. #3388	C₂×C₁₃	semidirect
668. #3388	C₂×C₁₃	semidirect
669. #3386	C₂×C₁₃	semidirect
670. #3384	C₂×C₁₃	semidirect
671. #3381	C₂×C₁₃	semidirect
672. #3380	C₂×C₁₃	semidirect
673. #3371	C₂×C₁₃	semidirect
674. #3371	C₂×C₁₃	semidirect
675. #3370	C₂×C₁₃	semidirect
676. #3370	C₂×C₁₃	semidirect
677. #3368	C₂×C₁₃	semidirect
678. #3366	C₂×C₁₃	semidirect
679. #3365	C₂×C₁₃	semidirect
680. #3361	C₂×C₁₃	semidirect
681. #3244	C₂×C₁₃	semidirect
682. #3243	C₂×C₁₃	semidirect
683. #3241	C₂×C₁₃	semidirect
684. #3241	C₂×C₁₃	semidirect
685. #3234	C₂×C₁₃	semidirect
686. #3232	C₂×C₁₃	semidirect
687. #3125	C₂×C₁₃	semidirect
688. #3124	C₂×C₁₃	semidirect
689. #3119	C₂×C₁₃	semidirect
690. #3119	C₂×C₁₃	semidirect
691. #3111	C₂×C₁₃	semidirect
692. #3106	C₂×C₁₃	semidirect
693. #2985	C₂×C₁₃	semidirect
1469. C₁₃	#61861	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×#3554	2
C₁₃×#3504	2
C₁₃×#3390	2
C₁₃×#3389	2
C₁₃×#3388	2
C₁₃×#3386	2
C₁₃×#3384	2
C₁₃×#3381	2
C₁₃×#3380	2
C₁₃×#3371	2
C₁₃×#3370	2
C₁₃×#3368	2
C₁₃×#3366	2
C₁₃×#3365	2
C₁₃×#3361	2
C₁₃×#3244	2
C₁₃×#3243	2
C₁₃×#3241	2
C₁₃×#3234	2
C₁₃×#3232	2
C₁₃×#3125	2
C₁₃×#3124	2
C₁₃×#3119	2
C₁₃×#3111	2
C₁₃×#3106	2
C₁₃×#2985	2
#61861	13

Subgroups — C13×#61861 #15748200

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61861 #15748200