Subgroups — C₁₃×#62172 #15748511

Order 3328.

1652 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3555	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3521	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3388	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3350	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3349	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3349	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3344	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3342	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3337	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3314	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3296	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3261	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3248	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3243	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3242	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3084	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#563	—	2	1	no	—
33	C₁₃×#563	—	2	1	no	—
34	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#557	—	2	1	no	—
36	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#556	—	2	1	no	—
38	C₁₃×#556	C₂²	1	1	yes	characteristic
39	C₁₃×#556	C₂²	1	1	yes	characteristic
40	C₁₃×#556	C₂²	1	1	yes	characteristic
41	C₁₃×#556	C₂²	1	1	yes	characteristic
42	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#554	C₂²	1	1	yes	characteristic
44	C₁₃×#554	C₂²	1	1	yes	characteristic
45	C₁₃×#553	—	2	1	no	—
46	C₁₃×#553	C₂²	1	1	yes	characteristic
47	C₁₃×#552	—	2	1	no	—
48	C₁₃×#552	C₂²	1	1	yes	characteristic
49	C₁₃×#552	C₂²	1	1	yes	characteristic
50	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#551	—	2	1	no	—
52	C₁₃×#551	—	2	1	no	—
53	C₁₃×#547	C₂²	1	1	yes	characteristic
54	C₁₃×#546	C₂²	1	1	yes	characteristic
55	C₁₃×#546	C₂²	1	1	yes	characteristic
56	C₁₃×#544	C₂²	1	1	yes	characteristic
57	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#542	—	2	1	no	—
59	C₁₃×#542	C₂²	1	1	yes	characteristic
60	C₁₃×#541	—	2	1	no	—
61	C₁₃×#541	—	2	1	no	—
62	C₁₃×#541	—	2	1	no	—
63	C₁₃×#541	C₂²	1	1	yes	characteristic
64	C₁₃×#541	C₂²	1	1	yes	characteristic
65	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#539	—	2	1	no	—
67	C₁₃×#538	—	2	1	no	—
68	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#529	—	2	1	no	—
71	C₁₃×#529	C₂²	1	1	yes	characteristic
72	C₁₃×#529	C₂²	1	1	yes	characteristic
73	C₂×C₁₃×#126	—	2	1	no	—
74	C₁₃×#520	C₂²	1	1	yes	characteristic
75	C₁₃×#518	C₂²	1	1	yes	characteristic
76	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
77	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#489	C₂²	1	1	yes	characteristic
85	C₁₃×#489	C₂²	1	1	yes	characteristic
86	C₁₃×#489	C₂²	1	1	yes	characteristic
87	C₁₃×#488	C₂²	1	1	yes	characteristic
88	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#485	C₂²	1	1	yes	characteristic
90	C₁₃×#485	C₂²	1	1	yes	characteristic
91	C₁₃×#485	C₂²	1	1	yes	characteristic
92	C₁₃×#485	C₂²	1	1	yes	characteristic
93	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#484	C₂²	1	1	yes	characteristic
99	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#483	C₂²	1	1	yes	characteristic
102	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#482	C₂²	1	1	yes	characteristic
104	C₁₃×#482	C₂²	1	1	yes	characteristic
105	C₁₃×#482	C₂²	1	1	yes	characteristic
106	C₁₃×#480	C₂²	1	1	yes	characteristic
107	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
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×#478	C₂²	1	1	yes	characteristic
117	C₁₃×#478	C₂²	1	1	yes	characteristic
118	C₁₃×#478	C₂²	1	1	yes	characteristic
119	C₁₃×#478	C₂²	1	1	yes	characteristic
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×#477	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#476	C₂²	1	1	yes	characteristic
127	C₁₃×#476	C₂²	1	1	yes	characteristic
128	C₁₃×#476	C₂²	1	1	yes	characteristic
129	C₁₃×#476	C₂²	1	1	yes	characteristic
130	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#474	C₂²	1	1	yes	characteristic
135	C₁₃×#474	C₂²	1	1	yes	characteristic
136	C₁₃×#474	C₂²	1	1	yes	characteristic
137	C₁₃×#470	C₂²	1	1	yes	characteristic
138	C₁₃×#470	C₂²	1	1	yes	characteristic
139	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#468	C₂²	1	1	yes	characteristic
141	C₁₃×#467	C₂²	1	1	yes	characteristic
142	C₁₃×#467	C₂²	1	1	yes	characteristic
143	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
146	C₁₃×#465	C₂²	1	1	yes	characteristic
147	C₁₃×#465	C₂²	1	1	yes	characteristic
148	C₁₃×#465	C₂²	1	1	yes	characteristic
149	C₁₃×#464	C₂²	1	1	yes	characteristic
150	C₁₃×#464	C₂²	1	1	yes	characteristic
151	C₁₃×#464	C₂²	1	1	yes	characteristic
152	C₁₃×#464	C₂²	1	1	yes	characteristic
153	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#461	C₂²	1	1	yes	characteristic
158	C₁₃×#461	C₂²	1	1	yes	characteristic
159	C₁₃×#452	C₂²	1	1	yes	characteristic
160	C₁₃×#452	C₂²	1	1	yes	characteristic
161	C₁₃×#452	C₂²	1	1	yes	characteristic
162	C₁₃×#452	C₂²	1	1	yes	characteristic
163	C₁₃×#450	C₂²	1	1	yes	characteristic
164	C₁₃×#450	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×#441	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
170	C₁₃×#440	C₂²	1	1	yes	characteristic
171	C₁₃×#440	C₂²	1	1	yes	characteristic
172	C₁₃×#440	C₂²	1	1	yes	characteristic
173	C₁₃×#440	C₂²	1	1	yes	characteristic
174	C₁₃×#440	C₂²	1	1	yes	characteristic
175	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
178	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
179	C₁₃×#435	C₂²	1	1	yes	characteristic
180	C₁₃×#435	C₂²	1	1	yes	characteristic
181	C₁₃×#435	C₂²	1	1	yes	characteristic
182	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
183	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
185	C₁₃×#433	C₂²	1	1	yes	characteristic
186	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
187	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
188	C₁₃×#428	C₂²	1	1	yes	characteristic
189	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
190	C₁₃×#427	C₂²	1	1	yes	characteristic
191	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
192	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic, complemented
194	C₁₃×#424	C₂²	1	1	yes	characteristic
195	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₁₃×#418	C₂²	1	1	yes	characteristic
198	C₁₃×#417	C₂²	1	1	yes	characteristic
199	C₁₃×#416	C₂²	1	1	yes	characteristic
200	C₁₃×#416	C₂²	1	1	yes	characteristic
201	C₁₃×#416	C₂²	1	1	yes	characteristic
202	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
216	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
217	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
218	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
219	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₁₃×C₄⋊Q₈	—	2	1	no	—
221	C₁₃×C₄⋊Q₈	—	2	1	no	—
222	C₁₃×C₄⋊Q₈	—	2	1	no	—
223	C₁₃×C₄⋊Q₈	—	2	1	no	—
224	C₁₃×C₄⋊Q₈	—	2	1	no	—
225	C₁₃×C₄⋊Q₈	—	2	1	no	—
226	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
230	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
233	C₁₃×C₄⋊Q₈	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×#126	—	2	1	no	—
238	C₁₃×#126	—	2	1	no	—
239	C₁₃×#126	—	2	1	no	—
240	C₁₃×#126	—	2	1	no	—
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#126	—	2	1	no	—
243	C₁₃×#126	—	2	1	no	—
244	C₁₃×#126	—	2	1	no	—
245	C₁₃×#126	—	2	1	no	—
246	C₁₃×#126	—	2	1	no	—
247	C₁₃×#126	—	2	1	no	—
248	C₁₃×#126	—	2	1	no	—
249	C₁₃×#126	—	2	1	no	—
250	C₁₃×#126	—	2	1	no	—
251	C₁₃×#126	—	2	1	no	—
252	C₁₃×#126	—	2	1	no	—
253	C₁₃×#126	—	2	1	no	—
254	C₁₃×#126	—	2	1	no	—
255	C₁₃×#126	—	2	1	no	—
256	C₁₃×#126	D₄	1	1	yes	characteristic
257	C₁₃×#126	D₄	1	1	yes	characteristic
258	C₁₃×#125	—	2	1	no	—
259	C₁₃×#125	—	2	1	no	—
260	C₁₃×#125	—	2	1	no	—
261	C₁₃×#125	—	2	1	no	—
262	C₁₃×#125	—	2	1	no	—
263	C₁₃×#125	—	2	1	no	—
264	C₁₃×#125	—	2	1	no	—
265	C₁₃×#125	—	2	1	no	—
266	C₁₃×#125	—	2	1	no	—
267	C₁₃×#125	—	2	1	no	—
268	C₁₃×#125	—	2	1	no	—
269	C₁₃×#125	—	2	1	no	—
270	C₁₃×#125	—	2	1	no	—
271	C₁₃×#125	—	2	1	no	—
272	C₁₃×#125	—	2	1	no	—
273	C₁₃×#125	D₄	1	1	yes	characteristic
274	C₁₃×#125	C₂³	1	1	yes	characteristic
275	C₁₃×#125	C₂³	1	1	yes	characteristic
276	C₁₃×#125	C₂³	1	1	yes	characteristic
277	C₁₃×#125	C₂³	1	1	yes	characteristic
278	C₁₃×#125	C₂³	1	1	yes	characteristic
279	C₁₃×#125	C₂³	1	1	yes	characteristic
280	C₁₃×#124	—	2	1	no	—
281	C₁₃×#124	—	2	1	no	—
282	C₁₃×#124	—	2	1	no	—
283	C₁₃×#124	—	2	1	no	—
284	C₁₃×#124	—	2	1	no	—
285	C₁₃×#124	D₄	1	1	yes	characteristic
286	C₁₃×#124	C₂³	1	1	yes	characteristic
287	C₁₃×#124	C₂³	1	1	yes	characteristic
288	C₁₃×#123	—	2	1	no	—
289	C₁₃×#123	—	2	1	no	—
290	C₁₃×#123	—	2	1	no	—
291	C₁₃×#123	—	2	1	no	—
292	C₁₃×#123	—	2	1	no	—
293	C₁₃×#123	—	2	1	no	—
294	C₁₃×#123	—	2	1	no	—
295	C₁₃×#123	—	2	1	no	—
296	C₁₃×#123	—	2	1	no	—
297	C₁₃×#123	—	2	1	no	—
298	C₁₃×#123	D₄	1	1	yes	characteristic
299	C₁₃×#123	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
315	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
318	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
319	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
320	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₁₃×C₂²⋊Q₈	C₂³	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	—	2	1	no	—
328	C₁₃×#121	—	2	1	no	—
329	C₁₃×#121	D₄	1	1	yes	characteristic
330	C₁₃×#121	C₂³	1	1	yes	characteristic
331	C₁₃×#121	C₂³	1	1	yes	characteristic
332	C₁₃×#120	—	2	1	no	—
333	C₁₃×#120	—	2	1	no	—
334	C₄×Q₈×C₁₃	—	2	1	no	—
335	C₄×Q₈×C₁₃	—	2	1	no	—
336	C₄×Q₈×C₁₃	—	2	1	no	—
337	C₄×Q₈×C₁₃	—	2	1	no	—
338	C₄×Q₈×C₁₃	—	2	1	no	—
339	C₄×Q₈×C₁₃	—	2	1	no	—
340	C₄×Q₈×C₁₃	—	2	1	no	—
341	C₄×Q₈×C₁₃	—	2	1	no	—
342	C₄×Q₈×C₁₃	—	2	1	no	—
343	C₄×Q₈×C₁₃	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×Q₈×C₁₃	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
354	C₄×D₄×C₁₃	—	2	1	no	—
355	C₄×D₄×C₁₃	—	2	1	no	—
356	C₄×D₄×C₁₃	—	2	1	no	—
357	C₄×D₄×C₁₃	—	2	1	no	—
358	C₄×D₄×C₁₃	—	2	1	no	—
359	C₄×D₄×C₁₃	—	2	1	no	—
360	C₄×D₄×C₁₃	—	2	1	no	—
361	C₄×D₄×C₁₃	—	2	1	no	—
362	C₄×D₄×C₁₃	—	2	1	no	—
363	C₄×D₄×C₁₃	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	C₁₃×#117	—	2	1	no	—
373	C₁₃×#117	—	2	1	no	—
374	C₁₃×#117	—	2	1	no	—
375	C₁₃×#117	—	2	1	no	—
376	C₁₃×#117	—	2	1	no	—
377	C₁₃×#117	—	2	1	no	—
378	C₁₃×#117	—	2	1	no	—
379	C₁₃×#117	—	2	1	no	—
380	C₁₃×#117	C₂³	1	1	yes	characteristic
381	C₁₃×#117	C₂³	1	1	yes	characteristic
382	C₁₃×#117	C₂³	1	1	yes	characteristic
383	C₁₃×#117	C₂³	1	1	yes	characteristic
384	C₁₃×#117	C₂³	1	1	yes	characteristic
385	C₁₃×#117	C₂³	1	1	yes	characteristic
386	C₁₃×#117	C₂³	1	1	yes	characteristic
387	C₁₃×#117	C₂³	1	1	yes	characteristic
388	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
391	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
392	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
393	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
394	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
395	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
396	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
397	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
398	C₂×C₄²×C₁₃	—	2	1	no	—
399	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
400	C₁₃×#107	C₂³	1	1	yes	characteristic
401	C₁₃×#107	C₂³	1	1	yes	characteristic
402	C₁₃×#107	C₂³	1	1	yes	characteristic
403	C₁₃×#107	C₂³	1	1	yes	characteristic
404	C₁₃×#107	C₂³	1	1	yes	characteristic
405	C₁₃×#107	C₂³	1	1	yes	characteristic
406	C₁₃×#107	C₂³	1	1	yes	characteristic
407	C₁₃×#107	C₂³	1	1	yes	characteristic
408	C₁₃×#107	C₂³	1	1	yes	characteristic
409	C₁₃×#107	C₂³	1	1	yes	characteristic
410	C₁₃×#107	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#106	C₂³	1	1	yes	characteristic
413	C₁₃×#106	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#106	C₂³	1	1	yes	characteristic
416	C₁₃×#106	C₂³	1	1	yes	characteristic
417	C₁₃×#106	C₂³	1	1	yes	characteristic
418	C₁₃×#106	C₂³	1	1	yes	characteristic
419	C₁₃×#106	C₂³	1	1	yes	characteristic
420	C₁₃×#106	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×#106	C₂³	1	1	yes	characteristic
423	C₁₃×#106	C₂³	1	1	yes	characteristic
424	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#103	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×#103	C₂³	1	1	yes	characteristic
445	C₁₃×#103	C₂³	1	1	yes	characteristic
446	C₁₃×#103	C₂³	1	1	yes	characteristic
447	C₁₃×#103	C₂³	1	1	yes	characteristic
448	C₁₃×#103	C₂³	1	1	yes	characteristic
449	C₁₃×#103	C₂³	1	1	yes	characteristic
450	C₁₃×#103	C₂³	1	1	yes	characteristic
451	C₁₃×#103	C₂³	1	1	yes	characteristic
452	C₁₃×#103	C₂³	1	1	yes	characteristic
453	C₁₃×#103	C₂³	1	1	yes	characteristic
454	C₁₃×#102	C₂³	1	1	yes	characteristic
455	C₁₃×#102	C₂³	1	1	yes	characteristic
456	C₁₃×#102	C₂³	1	1	yes	characteristic
457	C₁₃×#102	C₂³	1	1	yes	characteristic
458	C₁₃×#102	C₂³	1	1	yes	characteristic
459	C₁₃×#102	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×#102	C₂³	1	1	yes	characteristic
463	C₁₃×#102	C₂³	1	1	yes	characteristic
464	C₁₃×#102	C₂³	1	1	yes	characteristic
465	C₁₃×#102	C₂³	1	1	yes	characteristic
466	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
472	C₁₃×#97	C₂³	1	1	yes	characteristic
473	C₁₃×#97	C₂³	1	1	yes	characteristic
474	C₁₃×#97	C₂³	1	1	yes	characteristic
475	C₁₃×#97	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	#62172	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₂⁴×C₁₃	—	2	1	no	—
480	C₁₃×#41	—	2	2	no	—
481	C₁₃×#41	—	2	2	no	—
482	C₁₃×#41	—	4	1	no	—
483	C₁₃×#41	—	4	1	no	—
484	C₂×Q₈×C₁₃	—	2	1	no	—
485	C₂×Q₈×C₁₃	—	2	1	no	—
486	C₂×Q₈×C₁₃	—	2	1	no	—
487	C₂×Q₈×C₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	—	2	1	no	—
490	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
491	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×D₄×C₁₃	—	2	2	no	—
496	C₂×D₄×C₁₃	—	2	1	no	—
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	4	1	no	—
502	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂×D₄	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	C₂×D₄	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₁₃×Q₁₆	—	4	1	no	—
524	C₁₃×Q₁₆	—	4	1	no	—
525	C₁₃×Q₁₆	—	4	1	no	—
526	C₁₃×Q₁₆	—	4	1	no	—
527	C₁₃×SD₁₆	—	2	2	no	—
528	C₁₃×SD₁₆	—	2	2	no	—
529	C₁₃×SD₁₆	—	4	1	no	—
530	C₁₃×SD₁₆	—	4	1	no	—
531	C₁₃×M₁₆	—	4	1	no	—
532	C₁₃×M₁₆	—	4	1	no	—
533	C₂×C₈×C₁₃	—	4	1	no	—
534	C₂×C₈×C₁₃	—	4	1	no	—
535	C₂×C₈×C₁₃	—	4	1	no	—
536	C₂×C₈×C₁₃	—	4	1	no	—
537	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₁₃×C₄⋊C₄	—	2	1	no	—
546	C₁₃×C₄⋊C₄	—	2	1	no	—
547	C₁₃×C₄⋊C₄	—	2	1	no	—
548	C₁₃×C₄⋊C₄	—	2	1	no	—
549	C₁₃×C₄⋊C₄	—	2	1	no	—
550	C₁₃×C₄⋊C₄	—	2	1	no	—
551	C₁₃×C₄⋊C₄	—	2	1	no	—
552	C₁₃×C₄⋊C₄	—	2	1	no	—
553	C₁₃×C₄⋊C₄	—	2	1	no	—
554	C₁₃×C₄⋊C₄	—	2	1	no	—
555	C₁₃×C₄⋊C₄	—	2	1	no	—
556	C₁₃×C₄⋊C₄	—	2	1	no	—
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
562	C₁₃×C₄⋊C₄	—	2	1	no	—
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	—	2	1	no	—
569	C₁₃×C₄⋊C₄	—	2	1	no	—
570	C₁₃×C₄⋊C₄	—	2	1	no	—
571	C₁₃×C₄⋊C₄	—	2	1	no	—
572	C₁₃×C₄⋊C₄	—	2	1	no	—
573	C₁₃×C₄⋊C₄	—	2	1	no	—
574	C₁₃×C₄⋊C₄	—	2	1	no	—
575	C₁₃×C₄⋊C₄	—	2	1	no	—
576	C₁₃×C₄⋊C₄	—	2	1	no	—
577	C₁₃×C₄⋊C₄	—	2	1	no	—
578	C₁₃×C₄⋊C₄	—	2	1	no	—
579	C₁₃×C₄⋊C₄	—	2	1	no	—
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	—	2	1	no	—
584	C₁₃×C₄⋊C₄	—	2	1	no	—
585	C₁₃×C₄⋊C₄	—	2	1	no	—
586	C₁₃×C₄⋊C₄	—	2	1	no	—
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	—	2	1	no	—
589	C₁₃×C₄⋊C₄	—	2	1	no	—
590	C₁₃×C₄⋊C₄	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	C₂⁴	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₁₃×C₂²⋊C₄	—	2	1	no	—
611	C₁₃×C₂²⋊C₄	—	2	1	no	—
612	C₁₃×C₂²⋊C₄	—	2	1	no	—
613	C₁₃×C₂²⋊C₄	—	2	1	no	—
614	C₁₃×C₂²⋊C₄	—	2	1	no	—
615	C₁₃×C₂²⋊C₄	—	2	1	no	—
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	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	C₂×D₄	1	1	yes	characteristic
639	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
656	C₄²×C₁₃	—	2	1	no	—
657	C₄²×C₁₃	—	2	1	no	—
658	C₄²×C₁₃	—	2	1	no	—
659	C₄²×C₁₃	—	2	1	no	—
660	C₄²×C₁₃	—	2	1	no	—
661	C₄²×C₁₃	—	2	1	no	—
662	C₄²×C₁₃	—	2	1	no	—
663	C₄²×C₁₃	—	2	1	no	—
664	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
666	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
667	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
668	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
669	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
670	#3555	C₂×C₁₃	1	1	yes	characteristic, complemented
671	#3521	C₂×C₁₃	1	1	yes	characteristic
672	#3388	C₂×C₁₃	1	1	yes	characteristic, complemented
673	#3385	C₂×C₁₃	1	1	yes	characteristic, complemented
674	#3377	C₂×C₁₃	1	1	yes	characteristic, complemented
675	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
676	#3350	C₂×C₁₃	1	1	yes	characteristic, complemented
677	#3349	C₂×C₁₃	1	1	yes	characteristic, complemented
678	#3349	C₂×C₁₃	1	1	yes	characteristic, complemented
679	#3344	C₂×C₁₃	1	1	yes	characteristic, complemented
680	#3342	C₂×C₁₃	1	1	yes	characteristic, complemented
681	#3337	C₂×C₁₃	1	1	yes	characteristic, complemented
682	#3315	C₂×C₁₃	1	1	yes	characteristic, complemented
683	#3314	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3311	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3311	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3302	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3296	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3261	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3258	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3248	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3243	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3242	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3240	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3123	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3120	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3084	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#2992	C₂×C₁₃	1	1	yes	characteristic, complemented
701	C₂³×C₁₃	—	2	1	no	—
702	C₂³×C₁₃	—	2	1	no	—
703	C₂³×C₁₃	—	4	2	no	—
704	C₂³×C₁₃	—	8	1	no	—
705	C₂³×C₁₃	—	8	1	no	—
706	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
707	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
708	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
709	Q₈×C₁₃	—	2	1	no	—
710	Q₈×C₁₃	—	2	1	no	—
711	Q₈×C₁₃	—	2	1	no	—
712	Q₈×C₁₃	—	2	1	no	—
713	Q₈×C₁₃	—	2	1	no	—
714	Q₈×C₁₃	—	2	1	no	—
715	Q₈×C₁₃	—	2	1	no	—
716	Q₈×C₁₃	—	2	1	no	—
717	Q₈×C₁₃	—	4	1	no	—
718	Q₈×C₁₃	—	4	2	no	—
719	Q₈×C₁₃	—	8	1	no	—
720	Q₈×C₁₃	—	8	1	no	—
721	Q₈×C₁₃	—	8	1	no	—
722	Q₈×C₁₃	—	8	1	no	—
723	Q₈×C₁₃	—	8	1	no	—
724	D₄×C₁₃	—	2	1	no	—
725	D₄×C₁₃	—	2	1	no	—
726	D₄×C₁₃	—	2	1	no	—
727	D₄×C₁₃	—	4	1	no	—
728	D₄×C₁₃	—	4	1	no	—
729	D₄×C₁₃	—	4	1	no	—
730	D₄×C₁₃	—	4	2	no	—
731	D₄×C₁₃	—	4	2	no	—
732	D₄×C₁₃	—	4	2	no	—
733	D₄×C₁₃	—	8	1	no	—
734	D₄×C₁₃	—	8	1	no	—
735	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
748	C₂×C₄×C₁₃	—	2	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	2	1	no	—
751	C₂×C₄×C₁₃	—	2	1	no	—
752	C₂×C₄×C₁₃	—	2	1	no	—
753	C₂×C₄×C₁₃	—	2	1	no	—
754	C₂×C₄×C₁₃	—	2	1	no	—
755	C₂×C₄×C₁₃	—	2	1	no	—
756	C₂×C₄×C₁₃	—	4	1	no	—
757	C₂×C₄×C₁₃	—	4	1	no	—
758	C₂×C₄×C₁₃	—	4	2	no	—
759	C₂×C₄×C₁₃	—	4	2	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	—	8	1	no	—
767	C₂×C₄×C₁₃	—	8	1	no	—
768	C₂×C₄×C₁₃	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
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	C₈×C₁₃	—	2	1	no	—
789	#563	—	2	1	no	—
790	#563	—	2	1	no	—
791	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
792	#557	—	2	1	no	—
793	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
794	#556	—	2	1	no	—
795	#556	C₂²×C₁₃	1	1	yes	characteristic
796	#556	C₂²×C₁₃	1	1	yes	characteristic
797	#556	C₂²×C₁₃	1	1	yes	characteristic
798	#556	C₂²×C₁₃	1	1	yes	characteristic
799	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
800	#554	C₂²×C₁₃	1	1	yes	characteristic
801	#554	C₂²×C₁₃	1	1	yes	characteristic
802	#553	—	2	1	no	—
803	#553	C₂²×C₁₃	1	1	yes	characteristic
804	#552	—	2	1	no	—
805	#552	C₂²×C₁₃	1	1	yes	characteristic
806	#552	C₂²×C₁₃	1	1	yes	characteristic
807	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
808	#551	—	2	1	no	—
809	#551	—	2	1	no	—
810	#547	C₂²×C₁₃	1	1	yes	characteristic
811	#546	C₂²×C₁₃	1	1	yes	characteristic
812	#546	C₂²×C₁₃	1	1	yes	characteristic
813	#544	C₂²×C₁₃	1	1	yes	characteristic
814	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
815	#542	—	2	1	no	—
816	#542	C₂²×C₁₃	1	1	yes	characteristic
817	#541	—	2	1	no	—
818	#541	—	2	1	no	—
819	#541	—	2	1	no	—
820	#541	C₂²×C₁₃	1	1	yes	characteristic
821	#541	C₂²×C₁₃	1	1	yes	characteristic
822	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
823	#539	—	2	1	no	—
824	#538	—	2	1	no	—
825	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
826	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
827	#529	—	2	1	no	—
828	#529	C₂²×C₁₃	1	1	yes	characteristic
829	#529	C₂²×C₁₃	1	1	yes	characteristic
830	C₂×#126	—	2	1	no	—
831	#520	C₂²×C₁₃	1	1	yes	characteristic
832	#518	C₂²×C₁₃	1	1	yes	characteristic
833	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
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	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
839	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
840	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
841	#489	C₂²×C₁₃	1	1	yes	characteristic
842	#489	C₂²×C₁₃	1	1	yes	characteristic
843	#489	C₂²×C₁₃	1	1	yes	characteristic
844	#488	C₂²×C₁₃	1	1	yes	characteristic
845	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
846	#485	C₂²×C₁₃	1	1	yes	characteristic
847	#485	C₂²×C₁₃	1	1	yes	characteristic
848	#485	C₂²×C₁₃	1	1	yes	characteristic
849	#485	C₂²×C₁₃	1	1	yes	characteristic
850	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
851	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
852	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
854	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
855	#484	C₂²×C₁₃	1	1	yes	characteristic
856	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
858	#483	C₂²×C₁₃	1	1	yes	characteristic
859	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	#480	C₂²×C₁₃	1	1	yes	characteristic
864	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
865	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
866	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
867	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
868	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	#478	C₂²×C₁₃	1	1	yes	characteristic
874	#478	C₂²×C₁₃	1	1	yes	characteristic
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	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
881	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
882	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
883	#476	C₂²×C₁₃	1	1	yes	characteristic
884	#476	C₂²×C₁₃	1	1	yes	characteristic
885	#476	C₂²×C₁₃	1	1	yes	characteristic
886	#476	C₂²×C₁₃	1	1	yes	characteristic
887	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
888	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
890	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
891	#474	C₂²×C₁₃	1	1	yes	characteristic
892	#474	C₂²×C₁₃	1	1	yes	characteristic
893	#474	C₂²×C₁₃	1	1	yes	characteristic
894	#470	C₂²×C₁₃	1	1	yes	characteristic
895	#470	C₂²×C₁₃	1	1	yes	characteristic
896	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
897	#468	C₂²×C₁₃	1	1	yes	characteristic
898	#467	C₂²×C₁₃	1	1	yes	characteristic
899	#467	C₂²×C₁₃	1	1	yes	characteristic
900	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
902	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#465	C₂²×C₁₃	1	1	yes	characteristic
904	#465	C₂²×C₁₃	1	1	yes	characteristic
905	#465	C₂²×C₁₃	1	1	yes	characteristic
906	#464	C₂²×C₁₃	1	1	yes	characteristic
907	#464	C₂²×C₁₃	1	1	yes	characteristic
908	#464	C₂²×C₁₃	1	1	yes	characteristic
909	#464	C₂²×C₁₃	1	1	yes	characteristic
910	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
913	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
914	#461	C₂²×C₁₃	1	1	yes	characteristic
915	#461	C₂²×C₁₃	1	1	yes	characteristic
916	#452	C₂²×C₁₃	1	1	yes	characteristic
917	#452	C₂²×C₁₃	1	1	yes	characteristic
918	#452	C₂²×C₁₃	1	1	yes	characteristic
919	#452	C₂²×C₁₃	1	1	yes	characteristic
920	#450	C₂²×C₁₃	1	1	yes	characteristic
921	#450	C₂²×C₁₃	1	1	yes	characteristic
922	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
923	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
924	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
925	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#440	C₂²×C₁₃	1	1	yes	characteristic
928	#440	C₂²×C₁₃	1	1	yes	characteristic
929	#440	C₂²×C₁₃	1	1	yes	characteristic
930	#440	C₂²×C₁₃	1	1	yes	characteristic
931	#440	C₂²×C₁₃	1	1	yes	characteristic
932	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
934	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
935	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
936	#435	C₂²×C₁₃	1	1	yes	characteristic
937	#435	C₂²×C₁₃	1	1	yes	characteristic
938	#435	C₂²×C₁₃	1	1	yes	characteristic
939	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
940	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
941	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
942	#433	C₂²×C₁₃	1	1	yes	characteristic
943	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
944	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
945	#428	C₂²×C₁₃	1	1	yes	characteristic
946	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	#427	C₂²×C₁₃	1	1	yes	characteristic
948	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
949	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
950	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic, complemented
951	#424	C₂²×C₁₃	1	1	yes	characteristic
952	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
953	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#418	C₂²×C₁₃	1	1	yes	characteristic
955	#417	C₂²×C₁₃	1	1	yes	characteristic
956	#416	C₂²×C₁₃	1	1	yes	characteristic
957	#416	C₂²×C₁₃	1	1	yes	characteristic
958	#416	C₂²×C₁₃	1	1	yes	characteristic
959	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
960	C₂²×C₁₃	—	2	1	no	—
961	C₂²×C₁₃	—	2	1	no	—
962	C₂²×C₁₃	—	2	1	no	—
963	C₂²×C₁₃	—	2	1	no	—
964	C₂²×C₁₃	—	2	1	no	—
965	C₂²×C₁₃	—	2	1	no	—
966	C₂²×C₁₃	—	2	1	no	—
967	C₂²×C₁₃	—	2	1	no	—
968	C₂²×C₁₃	—	2	1	no	—
969	C₂²×C₁₃	—	2	2	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	—	4	1	no	—
975	C₂²×C₁₃	—	16	2	no	—
976	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
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	—	4	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	—	4	1	no	—
1002	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1003	C₄×C₁₃	#585	1	1	yes	characteristic
1004	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1005	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1006	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1007	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1009	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1010	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1011	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1014	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1015	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1016	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1017	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1018	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1019	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1020	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1021	C₄⋊Q₈	—	2	1	no	—
1022	C₄⋊Q₈	—	2	1	no	—
1023	C₄⋊Q₈	—	2	1	no	—
1024	C₄⋊Q₈	—	2	1	no	—
1025	C₄⋊Q₈	—	2	1	no	—
1026	C₄⋊Q₈	—	2	1	no	—
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	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1031	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1032	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1033	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1034	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	#126	—	2	1	no	—
1042	#126	—	2	1	no	—
1043	#126	—	2	1	no	—
1044	#126	—	2	1	no	—
1045	#126	—	2	1	no	—
1046	#126	—	2	1	no	—
1047	#126	—	2	1	no	—
1048	#126	—	2	1	no	—
1049	#126	—	2	1	no	—
1050	#126	—	2	1	no	—
1051	#126	—	2	1	no	—
1052	#126	—	2	1	no	—
1053	#126	—	2	1	no	—
1054	#126	—	2	1	no	—
1055	#126	—	2	1	no	—
1056	#126	—	2	1	no	—
1057	#126	D₄×C₁₃	1	1	yes	characteristic
1058	#126	D₄×C₁₃	1	1	yes	characteristic
1059	#125	—	2	1	no	—
1060	#125	—	2	1	no	—
1061	#125	—	2	1	no	—
1062	#125	—	2	1	no	—
1063	#125	—	2	1	no	—
1064	#125	—	2	1	no	—
1065	#125	—	2	1	no	—
1066	#125	—	2	1	no	—
1067	#125	—	2	1	no	—
1068	#125	—	2	1	no	—
1069	#125	—	2	1	no	—
1070	#125	—	2	1	no	—
1071	#125	—	2	1	no	—
1072	#125	—	2	1	no	—
1073	#125	—	2	1	no	—
1074	#125	D₄×C₁₃	1	1	yes	characteristic
1075	#125	C₂³×C₁₃	1	1	yes	characteristic
1076	#125	C₂³×C₁₃	1	1	yes	characteristic
1077	#125	C₂³×C₁₃	1	1	yes	characteristic
1078	#125	C₂³×C₁₃	1	1	yes	characteristic
1079	#125	C₂³×C₁₃	1	1	yes	characteristic
1080	#125	C₂³×C₁₃	1	1	yes	characteristic
1081	#124	—	2	1	no	—
1082	#124	—	2	1	no	—
1083	#124	—	2	1	no	—
1084	#124	—	2	1	no	—
1085	#124	—	2	1	no	—
1086	#124	D₄×C₁₃	1	1	yes	characteristic
1087	#124	C₂³×C₁₃	1	1	yes	characteristic
1088	#124	C₂³×C₁₃	1	1	yes	characteristic
1089	#123	—	2	1	no	—
1090	#123	—	2	1	no	—
1091	#123	—	2	1	no	—
1092	#123	—	2	1	no	—
1093	#123	—	2	1	no	—
1094	#123	—	2	1	no	—
1095	#123	—	2	1	no	—
1096	#123	—	2	1	no	—
1097	#123	—	2	1	no	—
1098	#123	—	2	1	no	—
1099	#123	D₄×C₁₃	1	1	yes	characteristic
1100	#123	D₄×C₁₃	1	1	yes	characteristic
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	D₄×C₁₃	1	1	yes	characteristic
1116	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1117	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1118	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1119	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1120	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1121	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1122	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1123	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1124	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1125	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1126	#121	—	2	1	no	—
1127	#121	—	2	1	no	—
1128	#121	—	2	1	no	—
1129	#121	—	2	1	no	—
1130	#121	D₄×C₁₃	1	1	yes	characteristic
1131	#121	C₂³×C₁₃	1	1	yes	characteristic
1132	#121	C₂³×C₁₃	1	1	yes	characteristic
1133	#120	—	2	1	no	—
1134	#120	—	2	1	no	—
1135	C₄×Q₈	—	2	1	no	—
1136	C₄×Q₈	—	2	1	no	—
1137	C₄×Q₈	—	2	1	no	—
1138	C₄×Q₈	—	2	1	no	—
1139	C₄×Q₈	—	2	1	no	—
1140	C₄×Q₈	—	2	1	no	—
1141	C₄×Q₈	—	2	1	no	—
1142	C₄×Q₈	—	2	1	no	—
1143	C₄×Q₈	—	2	1	no	—
1144	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1145	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1146	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1147	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1148	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1149	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1150	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1151	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1152	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1153	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1154	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1155	C₄×D₄	—	2	1	no	—
1156	C₄×D₄	—	2	1	no	—
1157	C₄×D₄	—	2	1	no	—
1158	C₄×D₄	—	2	1	no	—
1159	C₄×D₄	—	2	1	no	—
1160	C₄×D₄	—	2	1	no	—
1161	C₄×D₄	—	2	1	no	—
1162	C₄×D₄	—	2	1	no	—
1163	C₄×D₄	—	2	1	no	—
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	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1173	#117	—	2	1	no	—
1174	#117	—	2	1	no	—
1175	#117	—	2	1	no	—
1176	#117	—	2	1	no	—
1177	#117	—	2	1	no	—
1178	#117	—	2	1	no	—
1179	#117	—	2	1	no	—
1180	#117	—	2	1	no	—
1181	#117	C₂³×C₁₃	1	1	yes	characteristic
1182	#117	C₂³×C₁₃	1	1	yes	characteristic
1183	#117	C₂³×C₁₃	1	1	yes	characteristic
1184	#117	C₂³×C₁₃	1	1	yes	characteristic
1185	#117	C₂³×C₁₃	1	1	yes	characteristic
1186	#117	C₂³×C₁₃	1	1	yes	characteristic
1187	#117	C₂³×C₁₃	1	1	yes	characteristic
1188	#117	C₂³×C₁₃	1	1	yes	characteristic
1189	C₂×C₄⋊C₄	—	2	1	no	—
1190	C₂×C₄⋊C₄	—	2	1	no	—
1191	C₂×C₄⋊C₄	—	2	1	no	—
1192	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1193	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1194	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1195	C₂×C₂²⋊C₄	—	2	1	no	—
1196	C₂×C₂²⋊C₄	—	2	1	no	—
1197	C₂×C₂²⋊C₄	—	2	1	no	—
1198	C₂×C₂²⋊C₄	—	2	1	no	—
1199	C₂×C₄²	—	2	1	no	—
1200	C₂×C₄²	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	#107	C₂³×C₁₃	1	1	yes	characteristic
1207	#107	C₂³×C₁₃	1	1	yes	characteristic
1208	#107	C₂³×C₁₃	1	1	yes	characteristic
1209	#107	C₂³×C₁₃	1	1	yes	characteristic
1210	#107	C₂³×C₁₃	1	1	yes	characteristic
1211	#107	C₂³×C₁₃	1	1	yes	characteristic
1212	#107	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	#106	C₂³×C₁₃	1	1	yes	characteristic
1219	#106	C₂³×C₁₃	1	1	yes	characteristic
1220	#106	C₂³×C₁₃	1	1	yes	characteristic
1221	#106	C₂³×C₁₃	1	1	yes	characteristic
1222	#106	C₂³×C₁₃	1	1	yes	characteristic
1223	#106	C₂³×C₁₃	1	1	yes	characteristic
1224	#106	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	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1231	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1232	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1233	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1234	C₄⋊C₈	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	#103	C₂³×C₁₃	1	1	yes	characteristic
1243	#103	C₂³×C₁₃	1	1	yes	characteristic
1244	#103	C₂³×C₁₃	1	1	yes	characteristic
1245	#103	C₂³×C₁₃	1	1	yes	characteristic
1246	#103	C₂³×C₁₃	1	1	yes	characteristic
1247	#103	C₂³×C₁₃	1	1	yes	characteristic
1248	#103	C₂³×C₁₃	1	1	yes	characteristic
1249	#103	C₂³×C₁₃	1	1	yes	characteristic
1250	#103	C₂³×C₁₃	1	1	yes	characteristic
1251	#103	C₂³×C₁₃	1	1	yes	characteristic
1252	#103	C₂³×C₁₃	1	1	yes	characteristic
1253	#103	C₂³×C₁₃	1	1	yes	characteristic
1254	#103	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	#102	C₂³×C₁₃	1	1	yes	characteristic
1263	#102	C₂³×C₁₃	1	1	yes	characteristic
1264	#102	C₂³×C₁₃	1	1	yes	characteristic
1265	#102	C₂³×C₁₃	1	1	yes	characteristic
1266	#102	C₂³×C₁₃	1	1	yes	characteristic
1267	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1268	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1269	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1270	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1271	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1272	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1273	#97	C₂³×C₁₃	1	1	yes	characteristic
1274	#97	C₂³×C₁₃	1	1	yes	characteristic
1275	#97	C₂³×C₁₃	1	1	yes	characteristic
1276	#97	C₂³×C₁₃	1	1	yes	characteristic
1277	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1278	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1279	C₂×C₁₃	—	4	1	no	—
1280	C₂×C₁₃	—	4	1	no	—
1281	C₂×C₁₃	—	4	1	no	—
1282	C₂×C₁₃	—	4	2	no	—
1283	C₂×C₁₃	—	8	1	no	—
1284	C₂×C₁₃	#3489	1	1	yes	characteristic
1285	C₂×C₁₃	#3584	1	1	yes	characteristic
1286	C₂×C₁₃	#3586	1	1	yes	characteristic
1287	C₂⁴	—	2	1	no	—
1288	#41	—	2	2	no	—
1289	#41	—	2	2	no	—
1290	#41	—	4	1	no	—
1291	#41	—	4	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	—	2	1	no	—
1297	C₂×Q₈	—	2	1	no	—
1298	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1299	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1300	C₂×Q₈	C₂⁴×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	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	—	4	1	no	—
1310	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1311	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1312	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1313	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1314	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1327	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1328	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1329	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1330	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1331	Q₁₆	—	4	1	no	—
1332	Q₁₆	—	4	1	no	—
1333	Q₁₆	—	4	1	no	—
1334	Q₁₆	—	4	1	no	—
1335	SD₁₆	—	2	2	no	—
1336	SD₁₆	—	2	2	no	—
1337	SD₁₆	—	4	1	no	—
1338	SD₁₆	—	4	1	no	—
1339	M₁₆	—	4	1	no	—
1340	M₁₆	—	4	1	no	—
1341	C₂×C₈	—	4	1	no	—
1342	C₂×C₈	—	4	1	no	—
1343	C₂×C₈	—	4	1	no	—
1344	C₂×C₈	—	4	1	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	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	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	C₂×D₄×C₁₃	1	1	yes	characteristic
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	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	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1455	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1463	C₄²	—	2	1	no	—
1464	C₄²	—	2	1	no	—
1465	C₄²	—	2	1	no	—
1466	C₄²	—	2	1	no	—
1467	C₄²	—	2	1	no	—
1468	C₄²	—	2	1	no	—
1469	C₄²	—	2	1	no	—
1470	C₄²	—	2	1	no	—
1471	C₄²	—	2	1	no	—
1472	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1473	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1474	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1475	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1476	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1477	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1478	C₁₃	#62172	1	1	yes	characteristic, direct product factor, Sylow
1479	C₂³	—	2	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	4	2	no	—
1482	C₂³	—	8	1	no	—
1483	C₂³	—	8	1	no	—
1484	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1485	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1486	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1487	Q₈	—	2	1	no	—
1488	Q₈	—	2	1	no	—
1489	Q₈	—	2	1	no	—
1490	Q₈	—	2	1	no	—
1491	Q₈	—	2	1	no	—
1492	Q₈	—	2	1	no	—
1493	Q₈	—	2	1	no	—
1494	Q₈	—	2	1	no	—
1495	Q₈	—	4	1	no	—
1496	Q₈	—	4	2	no	—
1497	Q₈	—	8	1	no	—
1498	Q₈	—	8	1	no	—
1499	Q₈	—	8	1	no	—
1500	Q₈	—	8	1	no	—
1501	Q₈	—	8	1	no	—
1502	D₄	—	2	1	no	—
1503	D₄	—	2	1	no	—
1504	D₄	—	2	1	no	—
1505	D₄	—	4	1	no	—
1506	D₄	—	4	1	no	—
1507	D₄	—	4	1	no	—
1508	D₄	—	4	2	no	—
1509	D₄	—	4	2	no	—
1510	D₄	—	4	2	no	—
1511	D₄	—	8	1	no	—
1512	D₄	—	8	1	no	—
1513	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	4	1	no	—
1535	C₂×C₄	—	4	1	no	—
1536	C₂×C₄	—	4	2	no	—
1537	C₂×C₄	—	4	2	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	—	8	1	no	—
1544	C₂×C₄	—	8	1	no	—
1545	C₂×C₄	—	8	1	no	—
1546	C₂×C₄	—	8	1	no	—
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	C₂²×D₄×C₁₃	1	1	yes	characteristic
1557	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1558	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
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	C₈	—	2	1	no	—
1566	C₈	—	2	1	no	—
1567	C₂²	—	2	1	no	—
1568	C₂²	—	2	1	no	—
1569	C₂²	—	2	1	no	—
1570	C₂²	—	2	1	no	—
1571	C₂²	—	2	1	no	—
1572	C₂²	—	2	1	no	—
1573	C₂²	—	2	1	no	—
1574	C₂²	—	2	1	no	—
1575	C₂²	—	2	1	no	—
1576	C₂²	—	2	2	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	4	1	no	—
1579	C₂²	—	4	1	no	—
1580	C₂²	—	4	1	no	—
1581	C₂²	—	4	1	no	—
1582	C₂²	—	16	2	no	—
1583	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
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	—	4	1	no	—
1608	C₄	—	4	1	no	—
1609	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1610	C₄	C₁₃×#585	1	1	yes	characteristic
1611	C₂	—	4	1	no	—
1612	C₂	—	4	1	no	—
1613	C₂	—	4	1	no	—
1614	C₂	—	4	2	no	—
1615	C₂	—	8	1	no	—
1616	C₂	C₁₃×#3489	1	1	yes	characteristic
1617	C₂	C₁₃×#3584	1	1	yes	characteristic
1618	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3521	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3555	C₂	semidirect
3. C₁₃×#3388	C₂	semidirect
4. C₁₃×#3385	C₂	semidirect
5. C₁₃×#3377	C₂	semidirect
6. C₁₃×#3369	C₂	semidirect
7. C₁₃×#3350	C₂	semidirect
8. C₁₃×#3349	C₂	semidirect
9. C₁₃×#3349	C₂	semidirect
10. C₁₃×#3344	C₂	semidirect
11. C₁₃×#3342	C₂	semidirect
12. C₁₃×#3337	C₂	semidirect
13. C₁₃×#3315	C₂	semidirect
14. C₁₃×#3314	C₂	semidirect
15. C₁₃×#3311	C₂	semidirect
16. C₁₃×#3311	C₂	semidirect
17. C₁₃×#3302	C₂	semidirect
18. C₁₃×#3296	C₂	semidirect
19. C₁₃×#3261	C₂	semidirect
20. C₁₃×#3258	C₂	semidirect
21. C₁₃×#3248	C₂	semidirect
22. C₁₃×#3243	C₂	semidirect
23. C₁₃×#3242	C₂	semidirect
24. C₁₃×#3240	C₂	semidirect
25. C₁₃×#3123	C₂	semidirect
26. C₁₃×#3120	C₂	semidirect
27. C₁₃×#3116	C₂	semidirect
28. C₁₃×#3084	C₂	semidirect
29. C₁₃×#3081	C₂	semidirect
30. C₁₃×#3076	C₂	semidirect
31. C₁₃×#2992	C₂	semidirect
34. Q₈²×C₁₃	C₂²	semidirect
36. C₁₃×#557	C₂²	semidirect
42. C₁₃×#556	C₂²	semidirect
50. C₁₃×#552	C₂²	semidirect
57. C₁₃×#544	C₂²	semidirect
65. C₁₃×#541	C₂²	semidirect
68. C₁₃×#533	C₂²	semidirect
69. C₁₃×#533	C₂²	semidirect
77. C₁₃×#501	C₂²	semidirect
78. C₁₃×#501	C₂²	semidirect
79. C₁₃×#501	C₂²	semidirect
80. C₁₃×#501	C₂²	semidirect
81. C₁₃×#500	C₂²	semidirect
82. C₁₃×#499	C₂²	semidirect
83. C₁₃×#491	C₂²	semidirect
88. C₁₃×#487	C₂²	semidirect
93. C₁₃×#485	C₂²	semidirect
94. C₁₃×#485	C₂²	semidirect
95. C₁₃×#485	C₂²	semidirect
96. C₁₃×#485	C₂²	semidirect
97. C₁₃×#485	C₂²	semidirect
99. C₁₃×#484	C₂²	semidirect
100. C₁₃×#484	C₂²	semidirect
102. C₁₃×#483	C₂²	semidirect
107. C₁₃×#479	C₂²	semidirect
108. C₁₃×#479	C₂²	semidirect
109. C₁₃×#479	C₂²	semidirect
110. C₁₃×#479	C₂²	semidirect
111. C₁₃×#479	C₂²	semidirect
112. C₁₃×#479	C₂²	semidirect
113. C₁₃×#479	C₂²	semidirect
114. C₁₃×#479	C₂²	semidirect
115. C₁₃×#479	C₂²	semidirect
123. C₁₃×#477	C₂²	semidirect
124. C₁₃×#477	C₂²	semidirect
125. C₁₃×#477	C₂²	semidirect
130. C₁₃×#475	C₂²	semidirect
131. C₁₃×#475	C₂²	semidirect
132. C₁₃×#475	C₂²	semidirect
133. C₁₃×#475	C₂²	semidirect
139. C₁₃×#470	C₂²	semidirect
143. C₁₃×#467	C₂²	semidirect
144. C₁₃×#467	C₂²	semidirect
145. C₁₃×#467	C₂²	semidirect
153. C₁₃×#462	C₂²	semidirect
154. C₁₃×#462	C₂²	semidirect
155. C₁₃×#462	C₂²	semidirect
156. C₁₃×#462	C₂²	semidirect
165. C₁₃×#446	C₂²	semidirect
166. C₁₃×#446	C₂²	semidirect
167. C₁₃×#441	C₂²	semidirect
168. C₁₃×#441	C₂²	semidirect
169. C₁₃×#441	C₂²	semidirect
175. C₄×C₁₃×Q₁₆	C₂²	semidirect
182. C₁₃×#435	C₂²	semidirect
184. C₈×D₄×C₁₃	C₂²	semidirect
186. C₁₃×#433	C₂²	semidirect
187. C₁₃×#432	C₂²	semidirect
189. C₁₃×#428	C₂²	semidirect
191. C₁₃×#427	C₂²	semidirect
192. C₁₃×#427	C₂²	semidirect
193. C₂×C₁₃×#106	C₂²	semidirect
195. C₁₃×#424	C₂²	semidirect
196. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
478. #62172	C₁₃	direct (N × H)
670. #3555	C₂×C₁₃	semidirect
672. #3388	C₂×C₁₃	semidirect
673. #3385	C₂×C₁₃	semidirect
674. #3377	C₂×C₁₃	semidirect
675. #3369	C₂×C₁₃	semidirect
676. #3350	C₂×C₁₃	semidirect
677. #3349	C₂×C₁₃	semidirect
678. #3349	C₂×C₁₃	semidirect
679. #3344	C₂×C₁₃	semidirect
680. #3342	C₂×C₁₃	semidirect
681. #3337	C₂×C₁₃	semidirect
682. #3315	C₂×C₁₃	semidirect
683. #3314	C₂×C₁₃	semidirect
684. #3311	C₂×C₁₃	semidirect
685. #3311	C₂×C₁₃	semidirect
686. #3302	C₂×C₁₃	semidirect
687. #3296	C₂×C₁₃	semidirect
688. #3261	C₂×C₁₃	semidirect
689. #3258	C₂×C₁₃	semidirect
690. #3248	C₂×C₁₃	semidirect
691. #3243	C₂×C₁₃	semidirect
692. #3242	C₂×C₁₃	semidirect
693. #3240	C₂×C₁₃	semidirect
694. #3123	C₂×C₁₃	semidirect
695. #3120	C₂×C₁₃	semidirect
696. #3116	C₂×C₁₃	semidirect
697. #3084	C₂×C₁₃	semidirect
698. #3081	C₂×C₁₃	semidirect
699. #3076	C₂×C₁₃	semidirect
700. #2992	C₂×C₁₃	semidirect
791. Q₈²	C₂²×C₁₃	semidirect
793. #557	C₂²×C₁₃	semidirect
799. #556	C₂²×C₁₃	semidirect
807. #552	C₂²×C₁₃	semidirect
814. #544	C₂²×C₁₃	semidirect
822. #541	C₂²×C₁₃	semidirect
825. #533	C₂²×C₁₃	semidirect
826. #533	C₂²×C₁₃	semidirect
834. #501	C₂²×C₁₃	semidirect
835. #501	C₂²×C₁₃	semidirect
836. #501	C₂²×C₁₃	semidirect
837. #501	C₂²×C₁₃	semidirect
838. #500	C₂²×C₁₃	semidirect
839. #499	C₂²×C₁₃	semidirect
840. #491	C₂²×C₁₃	semidirect
845. #487	C₂²×C₁₃	semidirect
850. #485	C₂²×C₁₃	semidirect
851. #485	C₂²×C₁₃	semidirect
852. #485	C₂²×C₁₃	semidirect
853. #485	C₂²×C₁₃	semidirect
854. #485	C₂²×C₁₃	semidirect
856. #484	C₂²×C₁₃	semidirect
857. #484	C₂²×C₁₃	semidirect
859. #483	C₂²×C₁₃	semidirect
864. #479	C₂²×C₁₃	semidirect
865. #479	C₂²×C₁₃	semidirect
866. #479	C₂²×C₁₃	semidirect
867. #479	C₂²×C₁₃	semidirect
868. #479	C₂²×C₁₃	semidirect
869. #479	C₂²×C₁₃	semidirect
870. #479	C₂²×C₁₃	semidirect
871. #479	C₂²×C₁₃	semidirect
872. #479	C₂²×C₁₃	semidirect
880. #477	C₂²×C₁₃	semidirect
881. #477	C₂²×C₁₃	semidirect
882. #477	C₂²×C₁₃	semidirect
887. #475	C₂²×C₁₃	semidirect
888. #475	C₂²×C₁₃	semidirect
889. #475	C₂²×C₁₃	semidirect
890. #475	C₂²×C₁₃	semidirect
896. #470	C₂²×C₁₃	semidirect
900. #467	C₂²×C₁₃	semidirect
901. #467	C₂²×C₁₃	semidirect
902. #467	C₂²×C₁₃	semidirect
910. #462	C₂²×C₁₃	semidirect
911. #462	C₂²×C₁₃	semidirect
912. #462	C₂²×C₁₃	semidirect
913. #462	C₂²×C₁₃	semidirect
922. #446	C₂²×C₁₃	semidirect
923. #446	C₂²×C₁₃	semidirect
924. #441	C₂²×C₁₃	semidirect
925. #441	C₂²×C₁₃	semidirect
926. #441	C₂²×C₁₃	semidirect
932. C₄×Q₁₆	C₂²×C₁₃	semidirect
939. #435	C₂²×C₁₃	semidirect
941. C₈×D₄	C₂²×C₁₃	semidirect
943. #433	C₂²×C₁₃	semidirect
944. #432	C₂²×C₁₃	semidirect
946. #428	C₂²×C₁₃	semidirect
948. #427	C₂²×C₁₃	semidirect
949. #427	C₂²×C₁₃	semidirect
950. C₂×#106	C₂²×C₁₃	semidirect
952. #424	C₂²×C₁₃	semidirect
953. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1478. C₁₃	#62172	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×#3555	2
C₁₃×#3521	2
C₁₃×#3388	2
C₁₃×#3385	2
C₁₃×#3377	2
C₁₃×#3369	2
C₁₃×#3350	2
C₁₃×#3349	2
C₁₃×#3344	2
C₁₃×#3342	2
C₁₃×#3337	2
C₁₃×#3315	2
C₁₃×#3314	2
C₁₃×#3311	2
C₁₃×#3302	2
C₁₃×#3296	2
C₁₃×#3261	2
C₁₃×#3258	2
C₁₃×#3248	2
C₁₃×#3243	2
C₁₃×#3242	2
C₁₃×#3240	2
C₁₃×#3123	2
C₁₃×#3120	2
C₁₃×#3116	2
C₁₃×#3084	2
C₁₃×#3081	2
C₁₃×#3076	2
C₁₃×#2992	2
#62172	13

Subgroups — C13×#62172 #15748511

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62172 #15748511