Subgroups — C₁₃×#61855 #15748194

Order 3328.

1680 conjugacy classes of subgroups.

The subgroup lattice has 1618 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, complemented
2	C₁₃×#3501	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3389	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×#3376	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3376	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3370	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3370	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3360	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, complemented
23	C₁₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3122	C₂	1	1	yes	maximal, characteristic
27	C₁₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3105	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, complemented
35	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#554	—	2	1	no	—
41	C₁₃×#554	—	2	1	no	—
42	C₁₃×#554	—	2	1	no	—
43	C₁₃×#554	C₂²	1	1	yes	characteristic
44	C₁₃×#554	C₂²	1	1	yes	characteristic
45	C₁₃×#554	C₂²	1	1	yes	characteristic
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, complemented
50	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#552	—	2	1	no	—
52	C₁₃×#552	—	2	1	no	—
53	D₄×Q₈×C₁₃	—	2	1	no	—
54	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
55	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
56	C₁₃×#544	C₂²	1	1	yes	characteristic
57	C₁₃×#544	C₂²	1	1	yes	characteristic
58	C₁₃×#543	—	2	1	no	—
59	C₁₃×#543	—	2	1	no	—
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	C₂²	1	1	yes	characteristic
69	C₁₃×#533	C₂²	1	1	yes	characteristic
70	C₁₃×#529	C₂²	1	1	yes	characteristic
71	C₁₃×#529	C₂²	1	1	yes	characteristic
72	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
73	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
74	C₁₃×#518	C₂²	1	1	yes	characteristic
75	C₁₃×#518	C₂²	1	1	yes	characteristic
76	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
77	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
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, complemented
114	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#478	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, complemented
128	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#476	C₂²	1	1	yes	characteristic
137	C₁₃×#476	C₂²	1	1	yes	characteristic
138	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
143	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#474	C₂²	1	1	yes	characteristic
145	C₁₃×#474	C₂²	1	1	yes	characteristic
146	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
147	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#463	C₂²	1	1	yes	characteristic
150	C₁₃×#463	C₂²	1	1	yes	characteristic
151	C₁₃×#463	C₂²	1	1	yes	characteristic
152	C₁₃×#463	C₂²	1	1	yes	characteristic
153	C₁₃×#463	C₂²	1	1	yes	characteristic
154	C₁₃×#463	C₂²	1	1	yes	characteristic
155	C₁₃×#463	C₂²	1	1	yes	characteristic
156	C₁₃×#463	C₂²	1	1	yes	characteristic
157	C₁₃×#461	C₂²	1	1	yes	characteristic
158	C₁₃×#461	C₂²	1	1	yes	characteristic
159	C₁₃×#459	C₂²	1	1	yes	characteristic
160	C₁₃×#459	C₂²	1	1	yes	characteristic
161	C₁₃×#450	C₂²	1	1	yes	characteristic
162	C₁₃×#450	C₂²	1	1	yes	characteristic
163	C₁₃×#447	C₂²	1	1	yes	characteristic
164	C₁₃×#447	C₂²	1	1	yes	characteristic
165	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
170	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
171	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
172	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
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×#442	C₂²	1	1	yes	characteristic
178	C₁₃×#442	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×SD₁₆	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×D₈	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	C₂²×Q₈×C₁₃	—	2	1	no	—
204	C₂²×Q₈×C₁₃	—	2	1	no	—
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₁₃	—	2	1	no	—
207	C₂×C₁₃×SD₁₆	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×D₈	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	D₄	1	1	yes	characteristic
220	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
221	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×C₄⋊Q₈	C₂³	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×#127	C₂³	1	1	yes	characteristic
231	C₁₃×#126	—	2	1	no	—
232	C₁₃×#126	—	2	1	no	—
233	C₁₃×#126	—	2	1	no	—
234	C₁₃×#126	—	2	1	no	—
235	C₁₃×#126	—	2	1	no	—
236	C₁₃×#126	—	2	1	no	—
237	C₁₃×#126	—	2	1	no	—
238	C₁₃×#126	—	2	1	no	—
239	C₁₃×#126	—	2	1	no	—
240	C₁₃×#126	—	2	1	no	—
241	C₁₃×#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	D₄	1	1	yes	characteristic
250	C₁₃×#125	D₄	1	1	yes	characteristic
251	C₁₃×#125	C₂³	1	1	yes	characteristic
252	C₁₃×#125	C₂³	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×#124	—	2	1	no	—
262	C₁₃×#124	—	2	1	no	—
263	C₁₃×#124	—	2	1	no	—
264	C₁₃×#124	—	2	1	no	—
265	C₁₃×#124	C₂³	1	1	yes	characteristic
266	C₁₃×#124	C₂³	1	1	yes	characteristic
267	C₁₃×#124	C₂³	1	1	yes	characteristic
268	C₁₃×#124	C₂³	1	1	yes	characteristic
269	C₁₃×#123	—	2	1	no	—
270	C₁₃×#123	—	2	1	no	—
271	C₁₃×#123	—	2	1	no	—
272	C₁₃×#123	—	2	1	no	—
273	C₁₃×#123	—	2	1	no	—
274	C₁₃×#123	—	2	1	no	—
275	C₁₃×#123	—	2	1	no	—
276	C₁₃×#123	—	2	1	no	—
277	C₁₃×#123	—	2	1	no	—
278	C₁₃×#123	—	2	1	no	—
279	C₁₃×C₂²⋊Q₈	—	2	1	no	—
280	C₁₃×C₂²⋊Q₈	—	2	1	no	—
281	C₁₃×C₂²⋊Q₈	—	2	1	no	—
282	C₁₃×C₂²⋊Q₈	—	2	1	no	—
283	C₁₃×C₂²⋊Q₈	—	2	1	no	—
284	C₁₃×C₂²⋊Q₈	—	2	1	no	—
285	C₁₃×C₂²⋊Q₈	—	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	—	2	1	no	—
314	C₁₃×C₂²⋊Q₈	—	2	1	no	—
315	C₁₃×C₂²⋊Q₈	—	2	1	no	—
316	C₁₃×C₂²⋊Q₈	—	2	1	no	—
317	C₁₃×C₂²⋊Q₈	—	2	1	no	—
318	C₁₃×C₂²⋊Q₈	—	2	1	no	—
319	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
320	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
321	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
322	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
323	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
324	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₁₃×#121	—	2	1	no	—
326	C₁₃×#121	—	2	1	no	—
327	C₁₃×#121	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	C₂³	1	1	yes	characteristic
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×D₄×C₁₃	—	2	1	no	—
344	C₄×D₄×C₁₃	—	2	1	no	—
345	C₄×D₄×C₁₃	—	2	1	no	—
346	C₄×D₄×C₁₃	—	2	1	no	—
347	C₄×D₄×C₁₃	—	2	1	no	—
348	C₄×D₄×C₁₃	—	2	1	no	—
349	C₄×D₄×C₁₃	—	2	1	no	—
350	C₄×D₄×C₁₃	—	2	1	no	—
351	C₄×D₄×C₁₃	—	2	1	no	—
352	C₄×D₄×C₁₃	—	2	1	no	—
353	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
354	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
355	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
356	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
357	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
358	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
361	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
362	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
371	C₁₃×#117	—	2	1	no	—
372	C₁₃×#117	—	2	1	no	—
373	C₁₃×#117	—	2	1	no	—
374	C₁₃×#117	—	2	1	no	—
375	C₁₃×#117	C₂³	1	1	yes	characteristic
376	C₁₃×#117	C₂³	1	1	yes	characteristic
377	C₁₃×#117	C₂³	1	1	yes	characteristic
378	C₁₃×#117	C₂³	1	1	yes	characteristic
379	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
388	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
389	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
390	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
391	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
392	C₂×C₁₃×C₂²⋊C₄	—	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×#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	#61855	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₂⁴×C₁₃	—	2	1	no	—
480	C₂×Q₈×C₁₃	—	2	1	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	—	8	2	no	—
489	C₂×Q₈×C₁₃	—	8	2	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×D₄×C₁₃	—	2	2	no	—
497	C₂×D₄×C₁₃	—	2	2	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	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	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	—	8	2	no	—
527	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₁₃×SD₁₆	—	2	2	no	—
531	C₁₃×SD₁₆	—	2	2	no	—
532	C₁₃×SD₁₆	—	2	2	no	—
533	C₁₃×SD₁₆	—	2	2	no	—
534	C₁₃×D₈	—	2	2	no	—
535	C₁₃×D₈	—	2	2	no	—
536	C₁₃×D₈	—	2	2	no	—
537	C₁₃×D₈	—	2	2	no	—
538	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	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	—	2	1	no	—
583	C₁₃×C₄⋊C₄	—	2	1	no	—
584	C₁₃×C₄⋊C₄	—	2	1	no	—
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	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	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×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×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	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	#3557	C₂×C₁₃	1	1	yes	characteristic, complemented
664	#3501	C₂×C₁₃	1	1	yes	characteristic, complemented
665	#3389	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	#3376	C₂×C₁₃	1	1	yes	characteristic, complemented
674	#3376	C₂×C₁₃	1	1	yes	characteristic, complemented
675	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
676	#3370	C₂×C₁₃	1	1	yes	characteristic, complemented
677	#3370	C₂×C₁₃	1	1	yes	characteristic, complemented
678	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
679	#3361	C₂×C₁₃	1	1	yes	characteristic, complemented
680	#3360	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	#3242	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3241	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3240	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3123	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3122	C₂×C₁₃	1	1	yes	characteristic
689	#3118	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3118	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3114	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#2985	C₂×C₁₃	1	1	yes	characteristic, complemented
694	C₂³×C₁₃	—	2	4	no	—
695	C₂³×C₁₃	—	2	1	no	—
696	C₂³×C₁₃	—	2	1	no	—
697	C₂³×C₁₃	—	2	1	no	—
698	C₂³×C₁₃	—	2	1	no	—
699	C₂³×C₁₃	—	8	1	no	—
700	C₂³×C₁₃	—	8	1	no	—
701	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
702	Q₈×C₁₃	—	2	1	no	—
703	Q₈×C₁₃	—	2	1	no	—
704	Q₈×C₁₃	—	2	1	no	—
705	Q₈×C₁₃	—	2	1	no	—
706	Q₈×C₁₃	—	4	1	no	—
707	Q₈×C₁₃	—	4	1	no	—
708	Q₈×C₁₃	—	4	1	no	—
709	Q₈×C₁₃	—	4	1	no	—
710	Q₈×C₁₃	—	4	2	no	—
711	Q₈×C₁₃	—	8	1	no	—
712	Q₈×C₁₃	—	8	1	no	—
713	Q₈×C₁₃	—	8	1	no	—
714	Q₈×C₁₃	—	8	1	no	—
715	Q₈×C₁₃	—	8	1	no	—
716	Q₈×C₁₃	—	8	1	no	—
717	Q₈×C₁₃	—	8	1	no	—
718	D₄×C₁₃	—	2	4	no	—
719	D₄×C₁₃	—	2	1	no	—
720	D₄×C₁₃	—	2	1	no	—
721	D₄×C₁₃	—	2	1	no	—
722	D₄×C₁₃	—	2	1	no	—
723	D₄×C₁₃	—	2	1	no	—
724	D₄×C₁₃	—	2	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	2₋¹⁺⁴	1	2	yes	—
730	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
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	—	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	—	4	1	no	—
746	C₂×C₄×C₁₃	—	4	1	no	—
747	C₂×C₄×C₁₃	—	4	2	no	—
748	C₂×C₄×C₁₃	—	4	2	no	—
749	C₂×C₄×C₁₃	—	8	1	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	#563	—	2	1	no	—
789	#563	—	2	1	no	—
790	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
791	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
792	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
793	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
794	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
795	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
796	#554	—	2	1	no	—
797	#554	—	2	1	no	—
798	#554	—	2	1	no	—
799	#554	C₂²×C₁₃	1	1	yes	characteristic
800	#554	C₂²×C₁₃	1	1	yes	characteristic
801	#554	C₂²×C₁₃	1	1	yes	characteristic
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, complemented
806	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
807	#552	—	2	1	no	—
808	#552	—	2	1	no	—
809	D₄×Q₈	—	2	1	no	—
810	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
811	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
812	#544	C₂²×C₁₃	1	1	yes	characteristic
813	#544	C₂²×C₁₃	1	1	yes	characteristic
814	#543	—	2	1	no	—
815	#543	—	2	1	no	—
816	#542	—	2	1	no	—
817	#542	—	2	1	no	—
818	#542	C₂²×C₁₃	1	1	yes	characteristic
819	#542	C₂²×C₁₃	1	1	yes	characteristic
820	#541	C₂²×C₁₃	1	1	yes	characteristic
821	#540	C₂²×C₁₃	1	1	yes	characteristic
822	#539	—	2	1	no	—
823	#539	—	2	1	no	—
824	#533	C₂²×C₁₃	1	1	yes	characteristic
825	#533	C₂²×C₁₃	1	1	yes	characteristic
826	#529	C₂²×C₁₃	1	1	yes	characteristic
827	#529	C₂²×C₁₃	1	1	yes	characteristic
828	C₂×C₂²⋊Q₈	—	2	1	no	—
829	C₂×C₂²⋊Q₈	—	2	1	no	—
830	#518	C₂²×C₁₃	1	1	yes	characteristic
831	#518	C₂²×C₁₃	1	1	yes	characteristic
832	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
833	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
834	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
835	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
836	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
837	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
838	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
839	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
840	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
841	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
842	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
843	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
844	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
845	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
846	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
847	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
848	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
849	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
850	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
851	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
852	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
854	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
855	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	#485	C₂²×C₁₃	1	1	yes	characteristic
858	#485	C₂²×C₁₃	1	1	yes	characteristic
859	#485	C₂²×C₁₃	1	1	yes	characteristic
860	#485	C₂²×C₁₃	1	1	yes	characteristic
861	#484	C₂²×C₁₃	1	1	yes	characteristic
862	#483	C₂²×C₁₃	1	1	yes	characteristic
863	#482	C₂²×C₁₃	1	1	yes	characteristic
864	#482	C₂²×C₁₃	1	1	yes	characteristic
865	#482	C₂²×C₁₃	1	1	yes	characteristic
866	#482	C₂²×C₁₃	1	1	yes	characteristic
867	#481	C₂²×C₁₃	1	1	yes	characteristic
868	#480	C₂²×C₁₃	1	1	yes	characteristic
869	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
870	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
871	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
872	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
873	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
874	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
875	#478	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, complemented
884	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
885	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
886	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
887	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
888	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
890	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
891	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
892	#476	C₂²×C₁₃	1	1	yes	characteristic
893	#476	C₂²×C₁₃	1	1	yes	characteristic
894	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
895	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
896	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
897	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
898	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
900	#474	C₂²×C₁₃	1	1	yes	characteristic
901	#474	C₂²×C₁₃	1	1	yes	characteristic
902	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
904	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
905	#463	C₂²×C₁₃	1	1	yes	characteristic
906	#463	C₂²×C₁₃	1	1	yes	characteristic
907	#463	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	#463	C₂²×C₁₃	1	1	yes	characteristic
912	#463	C₂²×C₁₃	1	1	yes	characteristic
913	#461	C₂²×C₁₃	1	1	yes	characteristic
914	#461	C₂²×C₁₃	1	1	yes	characteristic
915	#459	C₂²×C₁₃	1	1	yes	characteristic
916	#459	C₂²×C₁₃	1	1	yes	characteristic
917	#450	C₂²×C₁₃	1	1	yes	characteristic
918	#450	C₂²×C₁₃	1	1	yes	characteristic
919	#447	C₂²×C₁₃	1	1	yes	characteristic
920	#447	C₂²×C₁₃	1	1	yes	characteristic
921	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
922	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
923	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
924	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
925	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	#442	C₂²×C₁₃	1	1	yes	characteristic
934	#442	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×SD₁₆	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×D₈	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	—	2	2	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	—	8	4	no	—
975	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
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	1	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	—	4	1	no	—
1001	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1002	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1003	C₂²×Q₈	—	2	1	no	—
1004	C₂²×Q₈	—	2	1	no	—
1005	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1006	C₂³×C₄	—	2	1	no	—
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	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
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	D₄×C₁₃	1	1	yes	characteristic
1020	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1021	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1022	C₄⋊Q₈	C₂³×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	#126	—	2	1	no	—
1032	#126	—	2	1	no	—
1033	#126	—	2	1	no	—
1034	#126	—	2	1	no	—
1035	#126	—	2	1	no	—
1036	#126	—	2	1	no	—
1037	#126	—	2	1	no	—
1038	#126	—	2	1	no	—
1039	#126	—	2	1	no	—
1040	#126	—	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	D₄×C₁₃	1	1	yes	characteristic
1050	#125	D₄×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	#125	C₂³×C₁₃	1	1	yes	characteristic
1061	#124	—	2	1	no	—
1062	#124	—	2	1	no	—
1063	#124	—	2	1	no	—
1064	#124	—	2	1	no	—
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	#124	C₂³×C₁₃	1	1	yes	characteristic
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	#123	—	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	—	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	—	2	1	no	—
1113	C₂²⋊Q₈	—	2	1	no	—
1114	C₂²⋊Q₈	—	2	1	no	—
1115	C₂²⋊Q₈	—	2	1	no	—
1116	C₂²⋊Q₈	—	2	1	no	—
1117	C₂²⋊Q₈	—	2	1	no	—
1118	C₂²⋊Q₈	—	2	1	no	—
1119	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1120	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1121	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1122	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1123	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1124	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1125	#121	—	2	1	no	—
1126	#121	—	2	1	no	—
1127	#121	C₂³×C₁₃	1	1	yes	characteristic
1128	#121	C₂³×C₁₃	1	1	yes	characteristic
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×D₄	—	2	1	no	—
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	—	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	C₂³×C₁₃	1	1	yes	characteristic
1154	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1155	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1156	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
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	#117	—	2	1	no	—
1172	#117	—	2	1	no	—
1173	#117	—	2	1	no	—
1174	#117	—	2	1	no	—
1175	#117	C₂³×C₁₃	1	1	yes	characteristic
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	C₂³×C₁₃	1	1	yes	characteristic
1188	C₂×C₂²⋊C₄	—	2	1	no	—
1189	C₂×C₂²⋊C₄	—	2	1	no	—
1190	C₂×C₂²⋊C₄	—	2	1	no	—
1191	C₂×C₂²⋊C₄	—	2	1	no	—
1192	C₂×C₂²⋊C₄	—	2	1	no	—
1193	C₂×C₄²	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	#107	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	#106	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	C₄⋊C₈	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	#103	C₂³×C₁₃	1	1	yes	characteristic
1240	#103	C₂³×C₁₃	1	1	yes	characteristic
1241	#103	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	#102	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	C₂²⋊C₈	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	#97	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	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1278	C₂×C₁₃	—	4	1	no	—
1279	C₂×C₁₃	—	4	2	no	—
1280	C₂×C₁₃	—	4	2	no	—
1281	C₂×C₁₃	—	8	1	no	—
1282	C₂×C₁₃	—	8	1	no	—
1283	C₂×C₁₃	#3486	1	1	yes	characteristic
1284	C₂×C₁₃	#3584	1	1	yes	characteristic
1285	C₂×C₁₃	#3585	1	1	yes	characteristic
1286	C₂⁴	—	2	1	no	—
1287	C₂×Q₈	—	2	1	no	—
1288	C₂×Q₈	—	2	1	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	—	8	2	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	2	no	—
1304	C₂×D₄	—	2	2	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	C₂⁴×C₁₃	1	1	yes	characteristic
1311	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1312	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1313	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1314	C₂²×C₄	—	2	1	no	—
1315	C₂²×C₄	—	2	1	no	—
1316	C₂²×C₄	—	2	1	no	—
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	—	8	2	no	—
1334	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1335	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1336	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1337	SD₁₆	—	2	2	no	—
1338	SD₁₆	—	2	2	no	—
1339	SD₁₆	—	2	2	no	—
1340	SD₁₆	—	2	2	no	—
1341	D₈	—	2	2	no	—
1342	D₈	—	2	2	no	—
1343	D₈	—	2	2	no	—
1344	D₈	—	2	2	no	—
1345	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
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	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	—	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	C₂×D₄×C₁₃	1	1	yes	characteristic
1393	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1394	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁴×C₁₃	1	1	yes	characteristic
1409	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1410	C₄⋊C₄	C₂⁴×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	C₂²⋊C₄	—	2	1	no	—
1419	C₂²⋊C₄	—	2	1	no	—
1420	C₂²⋊C₄	—	2	1	no	—
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	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1451	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1452	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1453	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1462	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1463	C₄²	C₂×D₄×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	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1470	C₁₃	#61855	1	1	yes	characteristic, direct product factor, Sylow
1471	C₂³	—	2	4	no	—
1472	C₂³	—	2	1	no	—
1473	C₂³	—	2	1	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	2	1	no	—
1476	C₂³	—	8	1	no	—
1477	C₂³	—	8	1	no	—
1478	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1479	Q₈	—	2	1	no	—
1480	Q₈	—	2	1	no	—
1481	Q₈	—	2	1	no	—
1482	Q₈	—	2	1	no	—
1483	Q₈	—	4	1	no	—
1484	Q₈	—	4	1	no	—
1485	Q₈	—	4	1	no	—
1486	Q₈	—	4	1	no	—
1487	Q₈	—	4	2	no	—
1488	Q₈	—	8	1	no	—
1489	Q₈	—	8	1	no	—
1490	Q₈	—	8	1	no	—
1491	Q₈	—	8	1	no	—
1492	Q₈	—	8	1	no	—
1493	Q₈	—	8	1	no	—
1494	Q₈	—	8	1	no	—
1495	D₄	—	2	4	no	—
1496	D₄	—	2	1	no	—
1497	D₄	—	2	1	no	—
1498	D₄	—	2	1	no	—
1499	D₄	—	2	1	no	—
1500	D₄	—	2	1	no	—
1501	D₄	—	2	1	no	—
1502	D₄	—	8	1	no	—
1503	D₄	—	8	1	no	—
1504	D₄	—	8	1	no	—
1505	D₄	—	8	1	no	—
1506	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1507	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1508	C₂×C₄	—	2	1	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	—	4	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	4	2	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	—	8	1	no	—
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	C₂²×D₄×C₁₃	1	1	yes	characteristic
1556	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
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	C₈	—	2	1	no	—
1565	C₂²	—	2	1	no	—
1566	C₂²	—	2	1	no	—
1567	C₂²	—	2	1	no	—
1568	C₂²	—	2	2	no	—
1569	C₂²	—	2	2	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	—	4	1	no	—
1580	C₂²	—	8	4	no	—
1581	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
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	1	no	—
1594	C₄	—	2	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	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1608	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1609	C₂	—	4	1	no	—
1610	C₂	—	4	2	no	—
1611	C₂	—	4	2	no	—
1612	C₂	—	8	1	no	—
1613	C₂	—	8	1	no	—
1614	C₂	C₁₃×#3486	1	1	yes	characteristic
1615	C₂	C₁₃×#3584	1	1	yes	characteristic
1616	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3122	C₂
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×#3557	C₂	semidirect
2. C₁₃×#3501	C₂	semidirect
3. C₁₃×#3389	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×#3376	C₂	semidirect
12. C₁₃×#3376	C₂	semidirect
13. C₁₃×#3373	C₂	semidirect
14. C₁₃×#3370	C₂	semidirect
15. C₁₃×#3370	C₂	semidirect
16. C₁₃×#3367	C₂	semidirect
17. C₁₃×#3361	C₂	semidirect
18. C₁₃×#3360	C₂	semidirect
19. C₁₃×#3244	C₂	semidirect
20. C₁₃×#3243	C₂	semidirect
21. C₁₃×#3242	C₂	semidirect
22. C₁₃×#3241	C₂	semidirect
23. C₁₃×#3240	C₂	semidirect
24. C₁₃×#3233	C₂	semidirect
25. C₁₃×#3123	C₂	semidirect
27. C₁₃×#3118	C₂	semidirect
28. C₁₃×#3118	C₂	semidirect
29. C₁₃×#3114	C₂	semidirect
30. C₁₃×#3105	C₂	semidirect
31. C₁₃×#2985	C₂	semidirect
34. C₁₃×#559	C₂²	semidirect
35. C₁₃×#559	C₂²	semidirect
36. C₁₃×#557	C₂²	semidirect
37. C₁₃×#557	C₂²	semidirect
38. C₁₃×#556	C₂²	semidirect
39. C₁₃×#556	C₂²	semidirect
49. C₁₃×#554	C₂²	semidirect
50. C₁₃×#554	C₂²	semidirect
77. C₁₃×#501	C₂²	semidirect
78. C₁₃×#501	C₂²	semidirect
79. C₁₃×#501	C₂²	semidirect
80. C₁₃×#501	C₂²	semidirect
81. C₁₃×#501	C₂²	semidirect
82. C₁₃×#501	C₂²	semidirect
83. C₁₃×#500	C₂²	semidirect
84. C₁₃×#499	C₂²	semidirect
85. C₁₃×#499	C₂²	semidirect
86. C₁₃×#499	C₂²	semidirect
87. C₁₃×#499	C₂²	semidirect
88. C₁₃×#498	C₂²	semidirect
89. C₁₃×#491	C₂²	semidirect
90. C₁₃×#490	C₂²	semidirect
91. C₁₃×#489	C₂²	semidirect
92. C₁₃×#489	C₂²	semidirect
93. C₁₃×#489	C₂²	semidirect
94. C₁₃×#489	C₂²	semidirect
95. C₁₃×#488	C₂²	semidirect
96. C₁₃×#488	C₂²	semidirect
97. C₁₃×#488	C₂²	semidirect
98. C₁₃×#488	C₂²	semidirect
99. C₁₃×#487	C₂²	semidirect
100. C₁₃×#486	C₂²	semidirect
113. C₁₃×#479	C₂²	semidirect
114. C₁₃×#479	C₂²	semidirect
115. C₁₃×#479	C₂²	semidirect
116. C₁₃×#479	C₂²	semidirect
117. C₁₃×#479	C₂²	semidirect
118. C₁₃×#479	C₂²	semidirect
127. C₁₃×#478	C₂²	semidirect
128. C₁₃×#478	C₂²	semidirect
129. C₁₃×#478	C₂²	semidirect
130. C₁₃×#478	C₂²	semidirect
131. C₁₃×#478	C₂²	semidirect
132. C₁₃×#478	C₂²	semidirect
133. C₁₃×#477	C₂²	semidirect
134. C₁₃×#477	C₂²	semidirect
135. C₁₃×#477	C₂²	semidirect
138. C₁₃×#476	C₂²	semidirect
139. C₁₃×#476	C₂²	semidirect
140. C₁₃×#476	C₂²	semidirect
141. C₁₃×#475	C₂²	semidirect
142. C₁₃×#475	C₂²	semidirect
143. C₁₃×#475	C₂²	semidirect
146. C₁₃×#474	C₂²	semidirect
147. C₁₃×#474	C₂²	semidirect
148. C₁₃×#474	C₂²	semidirect
165. C₁₃×#446	C₂²	semidirect
166. C₁₃×#446	C₂²	semidirect
167. C₁₃×#446	C₂²	semidirect
168. C₁₃×#446	C₂²	semidirect
169. C₁₃×#446	C₂²	semidirect
170. C₁₃×#446	C₂²	semidirect
171. C₈×Q₈×C₁₃	C₂²	semidirect
172. C₈×Q₈×C₁₃	C₂²	semidirect
478. #61855	C₁₃	direct (N × H)
663. #3557	C₂×C₁₃	semidirect
664. #3501	C₂×C₁₃	semidirect
665. #3389	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. #3376	C₂×C₁₃	semidirect
674. #3376	C₂×C₁₃	semidirect
675. #3373	C₂×C₁₃	semidirect
676. #3370	C₂×C₁₃	semidirect
677. #3370	C₂×C₁₃	semidirect
678. #3367	C₂×C₁₃	semidirect
679. #3361	C₂×C₁₃	semidirect
680. #3360	C₂×C₁₃	semidirect
681. #3244	C₂×C₁₃	semidirect
682. #3243	C₂×C₁₃	semidirect
683. #3242	C₂×C₁₃	semidirect
684. #3241	C₂×C₁₃	semidirect
685. #3240	C₂×C₁₃	semidirect
686. #3233	C₂×C₁₃	semidirect
687. #3123	C₂×C₁₃	semidirect
689. #3118	C₂×C₁₃	semidirect
690. #3118	C₂×C₁₃	semidirect
691. #3114	C₂×C₁₃	semidirect
692. #3105	C₂×C₁₃	semidirect
693. #2985	C₂×C₁₃	semidirect
790. #559	C₂²×C₁₃	semidirect
791. #559	C₂²×C₁₃	semidirect
792. #557	C₂²×C₁₃	semidirect
793. #557	C₂²×C₁₃	semidirect
794. #556	C₂²×C₁₃	semidirect
795. #556	C₂²×C₁₃	semidirect
805. #554	C₂²×C₁₃	semidirect
806. #554	C₂²×C₁₃	semidirect
833. #501	C₂²×C₁₃	semidirect
834. #501	C₂²×C₁₃	semidirect
835. #501	C₂²×C₁₃	semidirect
836. #501	C₂²×C₁₃	semidirect
837. #501	C₂²×C₁₃	semidirect
838. #501	C₂²×C₁₃	semidirect
839. #500	C₂²×C₁₃	semidirect
840. #499	C₂²×C₁₃	semidirect
841. #499	C₂²×C₁₃	semidirect
842. #499	C₂²×C₁₃	semidirect
843. #499	C₂²×C₁₃	semidirect
844. #498	C₂²×C₁₃	semidirect
845. #491	C₂²×C₁₃	semidirect
846. #490	C₂²×C₁₃	semidirect
847. #489	C₂²×C₁₃	semidirect
848. #489	C₂²×C₁₃	semidirect
849. #489	C₂²×C₁₃	semidirect
850. #489	C₂²×C₁₃	semidirect
851. #488	C₂²×C₁₃	semidirect
852. #488	C₂²×C₁₃	semidirect
853. #488	C₂²×C₁₃	semidirect
854. #488	C₂²×C₁₃	semidirect
855. #487	C₂²×C₁₃	semidirect
856. #486	C₂²×C₁₃	semidirect
869. #479	C₂²×C₁₃	semidirect
870. #479	C₂²×C₁₃	semidirect
871. #479	C₂²×C₁₃	semidirect
872. #479	C₂²×C₁₃	semidirect
873. #479	C₂²×C₁₃	semidirect
874. #479	C₂²×C₁₃	semidirect
883. #478	C₂²×C₁₃	semidirect
884. #478	C₂²×C₁₃	semidirect
885. #478	C₂²×C₁₃	semidirect
886. #478	C₂²×C₁₃	semidirect
887. #478	C₂²×C₁₃	semidirect
888. #478	C₂²×C₁₃	semidirect
889. #477	C₂²×C₁₃	semidirect
890. #477	C₂²×C₁₃	semidirect
891. #477	C₂²×C₁₃	semidirect
894. #476	C₂²×C₁₃	semidirect
895. #476	C₂²×C₁₃	semidirect
896. #476	C₂²×C₁₃	semidirect
897. #475	C₂²×C₁₃	semidirect
898. #475	C₂²×C₁₃	semidirect
899. #475	C₂²×C₁₃	semidirect
902. #474	C₂²×C₁₃	semidirect
903. #474	C₂²×C₁₃	semidirect
904. #474	C₂²×C₁₃	semidirect
921. #446	C₂²×C₁₃	semidirect
922. #446	C₂²×C₁₃	semidirect
923. #446	C₂²×C₁₃	semidirect
924. #446	C₂²×C₁₃	semidirect
925. #446	C₂²×C₁₃	semidirect
926. #446	C₂²×C₁₃	semidirect
927. C₈×Q₈	C₂²×C₁₃	semidirect
928. C₈×Q₈	C₂²×C₁₃	semidirect
1470. C₁₃	#61855	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×#3501	2
C₁₃×#3389	2
C₁₃×#3388	2
C₁₃×#3386	2
C₁₃×#3384	2
C₁₃×#3381	2
C₁₃×#3380	2
C₁₃×#3376	2
C₁₃×#3373	2
C₁₃×#3370	2
C₁₃×#3367	2
C₁₃×#3361	2
C₁₃×#3360	2
C₁₃×#3244	2
C₁₃×#3243	2
C₁₃×#3242	2
C₁₃×#3241	2
C₁₃×#3240	2
C₁₃×#3233	2
C₁₃×#3123	2
C₁₃×#3122	2
C₁₃×#3118	2
C₁₃×#3114	2
C₁₃×#3105	2
C₁₃×#2985	2
#61855	13

Subgroups — C13×#61855 #15748194

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61855 #15748194