Subgroups — C₁₃×#61514 #15747853

Order 3328.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3523	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3521	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3351	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×#3328	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3323	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3178	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3177	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3172	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3127	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3123	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3121	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3117	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2967	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#2949	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2947	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
34	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
35	C₁₃×#557	—	2	1	no	—
36	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#556	—	2	1	no	—
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×#554	C₂²	1	1	yes	characteristic
43	C₁₃×#553	—	2	1	no	—
44	C₁₃×#553	C₂²	1	1	yes	characteristic
45	C₁₃×#552	—	2	1	no	—
46	C₁₃×#552	—	2	1	no	—
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	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
54	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
55	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#547	C₂²	1	1	yes	characteristic
57	C₁₃×#546	C₂²	1	1	yes	characteristic
58	C₁₃×#546	C₂²	1	1	yes	characteristic
59	C₁₃×#542	C₂²	1	1	yes	characteristic
60	C₁₃×#541	—	2	1	no	—
61	C₁₃×#541	—	2	1	no	—
62	C₁₃×#541	C₂²	1	1	yes	characteristic
63	C₁₃×#541	C₂²	1	1	yes	characteristic
64	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#539	—	2	1	no	—
66	C₁₃×#538	—	2	1	no	—
67	C₁₃×#533	—	2	1	no	—
68	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#529	—	2	1	no	—
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×#519	C₂²	1	1	yes	characteristic
76	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#518	C₂²	1	1	yes	characteristic
78	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
79	C₂×C₄×Q₈×C₁₃	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×#499	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#497	C₂²	1	1	yes	characteristic
84	C₁₃×#497	C₂²	1	1	yes	characteristic
85	C₁₃×#494	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#489	C₂²	1	1	yes	characteristic
90	C₁₃×#488	C₂²	1	1	yes	characteristic
91	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#485	C₂²	1	1	yes	characteristic
93	C₁₃×#485	C₂²	1	1	yes	characteristic
94	C₁₃×#485	C₂²	1	1	yes	characteristic
95	C₁₃×#485	C₂²	1	1	yes	characteristic
96	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
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, complemented
102	C₁₃×#482	C₂²	1	1	yes	characteristic
103	C₁₃×#481	C₂²	1	1	yes	characteristic
104	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#478	C₂²	1	1	yes	characteristic
110	C₁₃×#478	C₂²	1	1	yes	characteristic
111	C₁₃×#478	C₂²	1	1	yes	characteristic
112	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#476	C₂²	1	1	yes	characteristic
115	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#470	C₂²	1	1	yes	characteristic
117	C₁₃×#470	C₂²	1	1	yes	characteristic
118	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#468	C₂²	1	1	yes	characteristic
122	C₁₃×#468	C₂²	1	1	yes	characteristic
123	C₁₃×#468	C₂²	1	1	yes	characteristic
124	C₁₃×#467	C₂²	1	1	yes	characteristic
125	C₁₃×#467	C₂²	1	1	yes	characteristic
126	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#465	C₂²	1	1	yes	characteristic
128	C₁₃×#464	C₂²	1	1	yes	characteristic
129	C₁₃×#464	C₂²	1	1	yes	characteristic
130	C₁₃×#464	C₂²	1	1	yes	characteristic
131	C₁₃×#464	C₂²	1	1	yes	characteristic
132	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#461	C₂²	1	1	yes	characteristic
137	C₁₃×#461	C₂²	1	1	yes	characteristic
138	C₁₃×#461	C₂²	1	1	yes	characteristic
139	C₁₃×#461	C₂²	1	1	yes	characteristic
140	C₁₃×#452	C₂²	1	1	yes	characteristic
141	C₁₃×#452	C₂²	1	1	yes	characteristic
142	C₁₃×#452	C₂²	1	1	yes	characteristic
143	C₁₃×#452	C₂²	1	1	yes	characteristic
144	C₁₃×#451	C₂²	1	1	yes	characteristic
145	C₁₃×#451	C₂²	1	1	yes	characteristic
146	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
147	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#450	C₂²	1	1	yes	characteristic
149	C₁₃×#450	C₂²	1	1	yes	characteristic
150	C₁₃×#448	C₂²	1	1	yes	characteristic
151	C₁₃×#448	C₂²	1	1	yes	characteristic
152	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
161	C₁₃×#440	C₂²	1	1	yes	characteristic
162	C₁₃×#440	C₂²	1	1	yes	characteristic
163	C₁₃×#440	C₂²	1	1	yes	characteristic
164	C₁₃×#440	C₂²	1	1	yes	characteristic
165	C₁₃×#440	C₂²	1	1	yes	characteristic
166	C₁₃×#440	C₂²	1	1	yes	characteristic
167	C₁₃×#440	C₂²	1	1	yes	characteristic
168	C₁₃×#440	C₂²	1	1	yes	characteristic
169	C₁₃×#440	C₂²	1	1	yes	characteristic
170	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
171	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
172	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
173	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
174	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
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	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
180	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
181	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
182	C₁₃×#436	C₂²	1	1	yes	characteristic
183	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
184	C₁₃×#435	C₂²	1	1	yes	characteristic
185	C₁₃×#435	C₂²	1	1	yes	characteristic
186	C₁₃×#435	C₂²	1	1	yes	characteristic
187	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
188	C₁₃×#433	C₂²	1	1	yes	characteristic
189	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
190	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
191	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
192	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
193	C₁₃×#427	C₂²	1	1	yes	characteristic
194	C₁₃×#419	C₂²	1	1	yes	characteristic
195	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
196	C₁₃×#418	C₂²	1	1	yes	characteristic
197	C₁₃×#417	C₂²	1	1	yes	characteristic
198	C₁₃×#416	C₂²	1	1	yes	characteristic
199	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
200	C₁₃×#405	C₂²	1	1	yes	characteristic
201	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₁₃×#137	—	2	4	no	—
210	C₁₃×#137	—	2	4	no	—
211	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×SD₁₆	—	2	4	no	—
220	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₁₃×C₄⋊Q₈	—	2	1	no	—
235	C₁₃×C₄⋊Q₈	—	2	1	no	—
236	C₁₃×C₄⋊Q₈	—	2	1	no	—
237	C₁₃×C₄⋊Q₈	—	2	1	no	—
238	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
257	C₁₃×#126	—	2	1	no	—
258	C₁₃×#126	—	2	1	no	—
259	C₁₃×#126	—	2	1	no	—
260	C₁₃×#126	—	2	1	no	—
261	C₁₃×#126	—	2	1	no	—
262	C₁₃×#126	D₄	1	1	yes	characteristic
263	C₁₃×#126	D₄	1	1	yes	characteristic
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	—	2	1	no	—
274	C₁₃×#125	—	2	1	no	—
275	C₁₃×#125	—	2	1	no	—
276	C₁₃×#125	—	2	1	no	—
277	C₁₃×#125	—	2	1	no	—
278	C₁₃×#125	—	2	1	no	—
279	C₁₃×#125	D₄	1	1	yes	characteristic
280	C₁₃×#125	C₂³	1	1	yes	characteristic
281	C₁₃×#125	C₂³	1	1	yes	characteristic
282	C₁₃×#125	C₂³	1	1	yes	characteristic
283	C₁₃×#125	C₂³	1	1	yes	characteristic
284	C₁₃×#124	—	2	1	no	—
285	C₁₃×#124	—	2	1	no	—
286	C₁₃×#124	—	2	1	no	—
287	C₁₃×#124	D₄	1	1	yes	characteristic
288	C₁₃×#124	C₂³	1	1	yes	characteristic
289	C₁₃×#124	C₂³	1	1	yes	characteristic
290	C₁₃×#123	—	2	1	no	—
291	C₁₃×#123	—	2	1	no	—
292	C₁₃×#123	—	2	1	no	—
293	C₁₃×#123	—	2	1	no	—
294	C₁₃×#123	—	2	1	no	—
295	C₁₃×#123	—	2	1	no	—
296	C₁₃×#123	—	2	1	no	—
297	C₁₃×#123	—	2	1	no	—
298	C₁₃×#123	—	2	1	no	—
299	C₁₃×#123	—	2	1	no	—
300	C₁₃×#123	D₄	1	1	yes	characteristic
301	C₁₃×#123	D₄	1	1	yes	characteristic
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	—	2	1	no	—
344	C₄×Q₈×C₁₃	—	2	1	no	—
345	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
356	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
357	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
358	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
359	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₁₃	—	2	1	no	—
361	C₄×D₄×C₁₃	—	2	1	no	—
362	C₄×D₄×C₁₃	—	2	1	no	—
363	C₄×D₄×C₁₃	—	2	1	no	—
364	C₄×D₄×C₁₃	—	2	1	no	—
365	C₄×D₄×C₁₃	—	2	1	no	—
366	C₄×D₄×C₁₃	—	2	1	no	—
367	C₄×D₄×C₁₃	—	2	1	no	—
368	C₄×D₄×C₁₃	—	2	1	no	—
369	C₄×D₄×C₁₃	—	2	1	no	—
370	C₄×D₄×C₁₃	—	2	1	no	—
371	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
380	C₁₃×#117	—	2	1	no	—
381	C₁₃×#117	—	2	1	no	—
382	C₁₃×#117	—	2	1	no	—
383	C₁₃×#117	—	2	1	no	—
384	C₁₃×#117	—	2	1	no	—
385	C₁₃×#117	—	2	1	no	—
386	C₁₃×#117	—	2	1	no	—
387	C₁₃×#117	—	2	1	no	—
388	C₁₃×#117	—	2	1	no	—
389	C₁₃×#117	—	2	1	no	—
390	C₁₃×#117	—	2	1	no	—
391	C₁₃×#117	—	2	1	no	—
392	C₁₃×#117	C₂³	1	1	yes	characteristic
393	C₁₃×#117	C₂³	1	1	yes	characteristic
394	C₁₃×#117	C₂³	1	1	yes	characteristic
395	C₁₃×#117	C₂³	1	1	yes	characteristic
396	C₁₃×#117	C₂³	1	1	yes	characteristic
397	C₁₃×#117	C₂³	1	1	yes	characteristic
398	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
400	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
403	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
405	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
406	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
407	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
408	C₂×C₄²×C₁₃	—	2	1	no	—
409	C₂×C₄²×C₁₃	—	2	1	no	—
410	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#107	C₂³	1	1	yes	characteristic
414	C₁₃×#107	C₂³	1	1	yes	characteristic
415	C₁₃×#107	C₂³	1	1	yes	characteristic
416	C₁₃×#107	C₂³	1	1	yes	characteristic
417	C₁₃×#107	C₂³	1	1	yes	characteristic
418	C₁₃×#107	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×#106	C₂³	1	1	yes	characteristic
425	C₁₃×#106	C₂³	1	1	yes	characteristic
426	C₁₃×#106	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×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#103	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×#103	C₂³	1	1	yes	characteristic
445	C₁₃×#103	C₂³	1	1	yes	characteristic
446	C₁₃×#103	C₂³	1	1	yes	characteristic
447	C₁₃×#103	C₂³	1	1	yes	characteristic
448	C₁₃×#103	C₂³	1	1	yes	characteristic
449	C₁₃×#103	C₂³	1	1	yes	characteristic
450	C₁₃×#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×#103	C₂³	1	1	yes	characteristic
455	C₁₃×#103	C₂³	1	1	yes	characteristic
456	C₁₃×#103	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₁₃×#97	C₂³	1	1	yes	characteristic
472	C₁₃×#97	C₂³	1	1	yes	characteristic
473	C₁₃×#97	C₂³	1	1	yes	characteristic
474	C₁₃×#97	C₂³	1	1	yes	characteristic
475	C₁₃×#97	C₂³	1	1	yes	characteristic
476	C₁₃×#97	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
481	#61514	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
482	C₂⁴×C₁₃	—	2	1	no	—
483	C₁₃×#41	—	2	2	no	—
484	C₁₃×#41	—	2	2	no	—
485	C₁₃×#41	—	4	1	no	—
486	C₁₃×#41	—	4	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	—	2	1	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	—	2	2	no	—
493	C₂×Q₈×C₁₃	—	2	2	no	—
494	C₂×Q₈×C₁₃	—	2	2	no	—
495	C₂×Q₈×C₁₃	—	4	1	no	—
496	C₂×Q₈×C₁₃	—	4	1	no	—
497	C₂×Q₈×C₁₃	—	4	1	no	—
498	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₁₃	—	2	2	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	4	1	no	—
512	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	—	2	1	no	—
525	C₂²×C₄×C₁₃	—	2	1	no	—
526	C₂²×C₄×C₁₃	—	2	1	no	—
527	C₂²×C₄×C₁₃	—	2	1	no	—
528	C₂²×C₄×C₁₃	—	2	1	no	—
529	C₂²×C₄×C₁₃	—	2	1	no	—
530	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₁₃×Q₁₆	—	2	2	no	—
536	C₁₃×Q₁₆	—	2	2	no	—
537	C₁₃×Q₁₆	—	2	2	no	—
538	C₁₃×Q₁₆	—	2	2	no	—
539	C₁₃×Q₁₆	—	4	1	no	—
540	C₁₃×Q₁₆	—	4	1	no	—
541	C₁₃×Q₁₆	—	4	1	no	—
542	C₁₃×Q₁₆	—	4	1	no	—
543	C₁₃×SD₁₆	—	2	2	no	—
544	C₁₃×SD₁₆	—	2	2	no	—
545	C₁₃×SD₁₆	—	2	2	no	—
546	C₁₃×SD₁₆	—	2	2	no	—
547	C₁₃×SD₁₆	—	2	2	no	—
548	C₁₃×SD₁₆	—	4	1	no	—
549	C₁₃×SD₁₆	—	4	1	no	—
550	C₁₃×SD₁₆	#41	1	4	yes	—
551	C₁₃×M₁₆	—	2	2	no	—
552	C₁₃×M₁₆	—	2	2	no	—
553	C₁₃×M₁₆	—	4	1	no	—
554	C₁₃×M₁₆	—	4	1	no	—
555	C₂×C₈×C₁₃	—	2	2	no	—
556	C₂×C₈×C₁₃	—	4	1	no	—
557	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
558	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
559	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
560	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
563	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
564	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
591	C₁₃×C₄⋊C₄	—	2	1	no	—
592	C₁₃×C₄⋊C₄	—	2	1	no	—
593	C₁₃×C₄⋊C₄	—	2	1	no	—
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	—	2	1	no	—
601	C₁₃×C₄⋊C₄	—	2	1	no	—
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	—	2	1	no	—
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	—	2	1	no	—
609	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
658	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
659	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
660	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
662	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
663	C₄²×C₁₃	—	2	1	no	—
664	C₄²×C₁₃	—	2	1	no	—
665	C₄²×C₁₃	—	2	1	no	—
666	C₄²×C₁₃	—	2	1	no	—
667	C₄²×C₁₃	—	2	1	no	—
668	C₄²×C₁₃	—	2	1	no	—
669	C₄²×C₁₃	—	2	1	no	—
670	C₄²×C₁₃	—	2	1	no	—
671	C₄²×C₁₃	—	2	1	no	—
672	C₄²×C₁₃	—	2	1	no	—
673	C₄²×C₁₃	—	2	1	no	—
674	C₄²×C₁₃	—	2	1	no	—
675	C₄²×C₁₃	—	2	1	no	—
676	C₄²×C₁₃	—	2	1	no	—
677	C₄²×C₁₃	—	2	1	no	—
678	C₄²×C₁₃	—	2	1	no	—
679	C₄²×C₁₃	—	2	1	no	—
680	C₄²×C₁₃	—	2	1	no	—
681	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
682	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
683	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
684	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
685	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
686	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
687	#3523	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3521	C₂×C₁₃	1	1	yes	characteristic
689	#3398	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3388	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3377	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3372	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3351	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3349	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3349	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3328	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3323	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3320	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3315	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3312	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3311	C₂×C₁₃	1	1	yes	characteristic, complemented
702	#3276	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#3266	C₂×C₁₃	1	1	yes	characteristic, complemented
704	#3266	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3178	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3177	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3172	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3127	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3123	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#3121	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3120	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3117	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
714	#2967	C₂×C₁₃	1	1	yes	characteristic, complemented
715	#2949	C₂×C₁₃	1	1	yes	characteristic, complemented
716	#2947	C₂×C₁₃	1	1	yes	characteristic, complemented
717	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
718	C₂³×C₁₃	—	2	1	no	—
719	C₂³×C₁₃	—	2	1	no	—
720	C₂³×C₁₃	—	4	2	no	—
721	C₂³×C₁₃	—	8	1	no	—
722	C₂³×C₁₃	—	8	1	no	—
723	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
724	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
725	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
726	Q₈×C₁₃	—	2	1	no	—
727	Q₈×C₁₃	—	2	1	no	—
728	Q₈×C₁₃	—	2	1	no	—
729	Q₈×C₁₃	—	2	1	no	—
730	Q₈×C₁₃	—	2	1	no	—
731	Q₈×C₁₃	—	2	1	no	—
732	Q₈×C₁₃	—	2	1	no	—
733	Q₈×C₁₃	—	2	1	no	—
734	Q₈×C₁₃	—	2	1	no	—
735	Q₈×C₁₃	—	2	1	no	—
736	Q₈×C₁₃	—	2	1	no	—
737	Q₈×C₁₃	—	4	1	no	—
738	Q₈×C₁₃	—	4	2	no	—
739	Q₈×C₁₃	—	4	2	no	—
740	Q₈×C₁₃	—	4	2	no	—
741	Q₈×C₁₃	—	4	2	no	—
742	Q₈×C₁₃	—	8	1	no	—
743	Q₈×C₁₃	C₂×#41	1	2	yes	—
744	D₄×C₁₃	—	2	1	no	—
745	D₄×C₁₃	—	2	1	no	—
746	D₄×C₁₃	—	2	1	no	—
747	D₄×C₁₃	—	4	1	no	—
748	D₄×C₁₃	—	4	1	no	—
749	D₄×C₁₃	—	4	1	no	—
750	D₄×C₁₃	—	4	2	no	—
751	D₄×C₁₃	—	4	2	no	—
752	D₄×C₁₃	—	4	2	no	—
753	D₄×C₁₃	—	8	1	no	—
754	D₄×C₁₃	—	8	1	no	—
755	D₄×C₁₃	C₂×#41	1	2	yes	—
756	C₂×C₄×C₁₃	—	2	1	no	—
757	C₂×C₄×C₁₃	—	2	1	no	—
758	C₂×C₄×C₁₃	—	2	1	no	—
759	C₂×C₄×C₁₃	—	2	1	no	—
760	C₂×C₄×C₁₃	—	2	1	no	—
761	C₂×C₄×C₁₃	—	2	1	no	—
762	C₂×C₄×C₁₃	—	2	1	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	4	1	no	—
777	C₂×C₄×C₁₃	—	4	1	no	—
778	C₂×C₄×C₁₃	—	4	2	no	—
779	C₂×C₄×C₁₃	—	4	2	no	—
780	C₂×C₄×C₁₃	—	4	2	no	—
781	C₂×C₄×C₁₃	—	4	2	no	—
782	C₂×C₄×C₁₃	—	4	2	no	—
783	C₂×C₄×C₁₃	—	4	2	no	—
784	C₂×C₄×C₁₃	—	8	1	no	—
785	C₂×C₄×C₁₃	—	8	1	no	—
786	C₂×C₄×C₁₃	—	8	1	no	—
787	C₂×C₄×C₁₃	—	8	1	no	—
788	C₂×C₄×C₁₃	—	8	1	no	—
789	C₂×C₄×C₁₃	—	8	1	no	—
790	C₂×C₄×C₁₃	—	8	1	no	—
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
803	C₈×C₁₃	—	2	1	no	—
804	C₈×C₁₃	—	2	1	no	—
805	C₈×C₁₃	—	2	1	no	—
806	C₈×C₁₃	—	2	1	no	—
807	C₈×C₁₃	—	2	1	no	—
808	C₈×C₁₃	—	2	1	no	—
809	C₈×C₁₃	—	2	1	no	—
810	C₈×C₁₃	C₂×#41	1	2	yes	—
811	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
812	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
813	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
814	#557	—	2	1	no	—
815	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
816	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
817	#556	—	2	1	no	—
818	#556	C₂²×C₁₃	1	1	yes	characteristic
819	#556	C₂²×C₁₃	1	1	yes	characteristic
820	#556	C₂²×C₁₃	1	1	yes	characteristic
821	#554	C₂²×C₁₃	1	1	yes	characteristic
822	#553	—	2	1	no	—
823	#553	C₂²×C₁₃	1	1	yes	characteristic
824	#552	—	2	1	no	—
825	#552	—	2	1	no	—
826	#552	—	2	1	no	—
827	#552	C₂²×C₁₃	1	1	yes	characteristic
828	#552	C₂²×C₁₃	1	1	yes	characteristic
829	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
830	#551	—	2	1	no	—
831	#551	—	2	1	no	—
832	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
833	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
834	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
835	#547	C₂²×C₁₃	1	1	yes	characteristic
836	#546	C₂²×C₁₃	1	1	yes	characteristic
837	#546	C₂²×C₁₃	1	1	yes	characteristic
838	#542	C₂²×C₁₃	1	1	yes	characteristic
839	#541	—	2	1	no	—
840	#541	—	2	1	no	—
841	#541	C₂²×C₁₃	1	1	yes	characteristic
842	#541	C₂²×C₁₃	1	1	yes	characteristic
843	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
844	#539	—	2	1	no	—
845	#538	—	2	1	no	—
846	#533	—	2	1	no	—
847	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
848	#529	—	2	1	no	—
849	#529	—	2	1	no	—
850	#529	C₂²×C₁₃	1	1	yes	characteristic
851	#529	C₂²×C₁₃	1	1	yes	characteristic
852	C₂×#126	—	2	1	no	—
853	#520	C₂²×C₁₃	1	1	yes	characteristic
854	#519	C₂²×C₁₃	1	1	yes	characteristic
855	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#518	C₂²×C₁₃	1	1	yes	characteristic
857	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
858	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
859	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
860	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
861	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
862	#497	C₂²×C₁₃	1	1	yes	characteristic
863	#497	C₂²×C₁₃	1	1	yes	characteristic
864	#494	C₂²×C₁₃	1	1	yes	characteristic, complemented
865	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
866	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
867	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
868	#489	C₂²×C₁₃	1	1	yes	characteristic
869	#488	C₂²×C₁₃	1	1	yes	characteristic
870	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
871	#485	C₂²×C₁₃	1	1	yes	characteristic
872	#485	C₂²×C₁₃	1	1	yes	characteristic
873	#485	C₂²×C₁₃	1	1	yes	characteristic
874	#485	C₂²×C₁₃	1	1	yes	characteristic
875	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
876	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
877	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
878	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
879	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
880	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
881	#482	C₂²×C₁₃	1	1	yes	characteristic
882	#481	C₂²×C₁₃	1	1	yes	characteristic
883	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
884	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
885	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
886	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
887	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
888	#478	C₂²×C₁₃	1	1	yes	characteristic
889	#478	C₂²×C₁₃	1	1	yes	characteristic
890	#478	C₂²×C₁₃	1	1	yes	characteristic
891	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
892	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
893	#476	C₂²×C₁₃	1	1	yes	characteristic
894	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
895	#470	C₂²×C₁₃	1	1	yes	characteristic
896	#470	C₂²×C₁₃	1	1	yes	characteristic
897	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
898	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
900	#468	C₂²×C₁₃	1	1	yes	characteristic
901	#468	C₂²×C₁₃	1	1	yes	characteristic
902	#468	C₂²×C₁₃	1	1	yes	characteristic
903	#467	C₂²×C₁₃	1	1	yes	characteristic
904	#467	C₂²×C₁₃	1	1	yes	characteristic
905	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
906	#465	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	#464	C₂²×C₁₃	1	1	yes	characteristic
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	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	#461	C₂²×C₁₃	1	1	yes	characteristic
916	#461	C₂²×C₁₃	1	1	yes	characteristic
917	#461	C₂²×C₁₃	1	1	yes	characteristic
918	#461	C₂²×C₁₃	1	1	yes	characteristic
919	#452	C₂²×C₁₃	1	1	yes	characteristic
920	#452	C₂²×C₁₃	1	1	yes	characteristic
921	#452	C₂²×C₁₃	1	1	yes	characteristic
922	#452	C₂²×C₁₃	1	1	yes	characteristic
923	#451	C₂²×C₁₃	1	1	yes	characteristic
924	#451	C₂²×C₁₃	1	1	yes	characteristic
925	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#450	C₂²×C₁₃	1	1	yes	characteristic
928	#450	C₂²×C₁₃	1	1	yes	characteristic
929	#448	C₂²×C₁₃	1	1	yes	characteristic
930	#448	C₂²×C₁₃	1	1	yes	characteristic
931	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
932	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
934	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
936	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
937	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
938	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
939	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
940	#440	C₂²×C₁₃	1	1	yes	characteristic
941	#440	C₂²×C₁₃	1	1	yes	characteristic
942	#440	C₂²×C₁₃	1	1	yes	characteristic
943	#440	C₂²×C₁₃	1	1	yes	characteristic
944	#440	C₂²×C₁₃	1	1	yes	characteristic
945	#440	C₂²×C₁₃	1	1	yes	characteristic
946	#440	C₂²×C₁₃	1	1	yes	characteristic
947	#440	C₂²×C₁₃	1	1	yes	characteristic
948	#440	C₂²×C₁₃	1	1	yes	characteristic
949	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
950	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
951	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
952	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
953	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
955	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
956	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
957	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
958	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
959	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
960	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
961	#436	C₂²×C₁₃	1	1	yes	characteristic
962	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
963	#435	C₂²×C₁₃	1	1	yes	characteristic
964	#435	C₂²×C₁₃	1	1	yes	characteristic
965	#435	C₂²×C₁₃	1	1	yes	characteristic
966	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	#433	C₂²×C₁₃	1	1	yes	characteristic
968	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
969	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
972	#427	C₂²×C₁₃	1	1	yes	characteristic
973	#419	C₂²×C₁₃	1	1	yes	characteristic
974	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
975	#418	C₂²×C₁₃	1	1	yes	characteristic
976	#417	C₂²×C₁₃	1	1	yes	characteristic
977	#416	C₂²×C₁₃	1	1	yes	characteristic
978	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	#405	C₂²×C₁₃	1	1	yes	characteristic
980	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	C₂²×C₁₃	—	2	1	no	—
983	C₂²×C₁₃	—	2	1	no	—
984	C₂²×C₁₃	—	2	1	no	—
985	C₂²×C₁₃	—	2	1	no	—
986	C₂²×C₁₃	—	2	1	no	—
987	C₂²×C₁₃	—	2	1	no	—
988	C₂²×C₁₃	—	2	1	no	—
989	C₂²×C₁₃	—	2	1	no	—
990	C₂²×C₁₃	—	2	1	no	—
991	C₂²×C₁₃	—	2	2	no	—
992	C₂²×C₁₃	—	4	1	no	—
993	C₂²×C₁₃	—	4	1	no	—
994	C₂²×C₁₃	—	4	1	no	—
995	C₂²×C₁₃	—	4	1	no	—
996	C₂²×C₁₃	—	4	1	no	—
997	C₂²×C₁₃	—	16	2	no	—
998	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
999	C₄×C₁₃	—	2	1	no	—
1000	C₄×C₁₃	—	2	1	no	—
1001	C₄×C₁₃	—	2	1	no	—
1002	C₄×C₁₃	—	2	1	no	—
1003	C₄×C₁₃	—	2	1	no	—
1004	C₄×C₁₃	—	2	1	no	—
1005	C₄×C₁₃	—	2	1	no	—
1006	C₄×C₁₃	—	2	1	no	—
1007	C₄×C₁₃	—	2	1	no	—
1008	C₄×C₁₃	—	2	1	no	—
1009	C₄×C₁₃	—	2	1	no	—
1010	C₄×C₁₃	—	2	2	no	—
1011	C₄×C₁₃	—	4	1	no	—
1012	C₄×C₁₃	—	4	1	no	—
1013	C₄×C₁₃	—	4	1	no	—
1014	C₄×C₁₃	—	4	1	no	—
1015	C₄×C₁₃	—	4	1	no	—
1016	C₄×C₁₃	—	4	1	no	—
1017	C₄×C₁₃	—	4	1	no	—
1018	C₄×C₁₃	—	4	1	no	—
1019	C₄×C₁₃	—	4	1	no	—
1020	C₄×C₁₃	—	4	1	no	—
1021	C₄×C₁₃	—	4	1	no	—
1022	C₄×C₁₃	—	4	1	no	—
1023	C₄×C₁₃	—	4	1	no	—
1024	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1025	C₄×C₁₃	#585	1	1	yes	characteristic
1026	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1028	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1030	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1031	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1032	#137	—	2	4	no	—
1033	#137	—	2	4	no	—
1034	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1035	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂×SD₁₆	—	2	4	no	—
1043	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1055	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1056	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1057	C₄⋊Q₈	—	2	1	no	—
1058	C₄⋊Q₈	—	2	1	no	—
1059	C₄⋊Q₈	—	2	1	no	—
1060	C₄⋊Q₈	—	2	1	no	—
1061	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1062	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1063	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1064	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1065	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1066	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1067	#126	—	2	1	no	—
1068	#126	—	2	1	no	—
1069	#126	—	2	1	no	—
1070	#126	—	2	1	no	—
1071	#126	—	2	1	no	—
1072	#126	—	2	1	no	—
1073	#126	—	2	1	no	—
1074	#126	—	2	1	no	—
1075	#126	—	2	1	no	—
1076	#126	—	2	1	no	—
1077	#126	—	2	1	no	—
1078	#126	—	2	1	no	—
1079	#126	—	2	1	no	—
1080	#126	—	2	1	no	—
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	D₄×C₁₃	1	1	yes	characteristic
1086	#126	D₄×C₁₃	1	1	yes	characteristic
1087	#125	—	2	1	no	—
1088	#125	—	2	1	no	—
1089	#125	—	2	1	no	—
1090	#125	—	2	1	no	—
1091	#125	—	2	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	2	1	no	—
1094	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	D₄×C₁₃	1	1	yes	characteristic
1103	#125	C₂³×C₁₃	1	1	yes	characteristic
1104	#125	C₂³×C₁₃	1	1	yes	characteristic
1105	#125	C₂³×C₁₃	1	1	yes	characteristic
1106	#125	C₂³×C₁₃	1	1	yes	characteristic
1107	#124	—	2	1	no	—
1108	#124	—	2	1	no	—
1109	#124	—	2	1	no	—
1110	#124	D₄×C₁₃	1	1	yes	characteristic
1111	#124	C₂³×C₁₃	1	1	yes	characteristic
1112	#124	C₂³×C₁₃	1	1	yes	characteristic
1113	#123	—	2	1	no	—
1114	#123	—	2	1	no	—
1115	#123	—	2	1	no	—
1116	#123	—	2	1	no	—
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	D₄×C₁₃	1	1	yes	characteristic
1124	#123	D₄×C₁₃	1	1	yes	characteristic
1125	C₂²⋊Q₈	—	2	1	no	—
1126	C₂²⋊Q₈	—	2	1	no	—
1127	C₂²⋊Q₈	—	2	1	no	—
1128	C₂²⋊Q₈	—	2	1	no	—
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1138	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1139	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1140	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1141	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1142	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1143	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1144	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1148	#121	—	2	1	no	—
1149	#121	—	2	1	no	—
1150	#121	—	2	1	no	—
1151	#121	—	2	1	no	—
1152	#121	D₄×C₁₃	1	1	yes	characteristic
1153	#121	C₂³×C₁₃	1	1	yes	characteristic
1154	#121	C₂³×C₁₃	1	1	yes	characteristic
1155	#120	—	2	1	no	—
1156	#120	—	2	1	no	—
1157	C₄×Q₈	—	2	1	no	—
1158	C₄×Q₈	—	2	1	no	—
1159	C₄×Q₈	—	2	1	no	—
1160	C₄×Q₈	—	2	1	no	—
1161	C₄×Q₈	—	2	1	no	—
1162	C₄×Q₈	—	2	1	no	—
1163	C₄×Q₈	—	2	1	no	—
1164	C₄×Q₈	—	2	1	no	—
1165	C₄×Q₈	—	2	1	no	—
1166	C₄×Q₈	—	2	1	no	—
1167	C₄×Q₈	—	2	1	no	—
1168	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1169	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1170	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1171	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1172	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1173	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1174	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1175	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1176	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1177	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1180	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1183	C₄×D₄	—	2	1	no	—
1184	C₄×D₄	—	2	1	no	—
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1195	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1196	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1197	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1198	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1199	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1200	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1201	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1202	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1203	#117	—	2	1	no	—
1204	#117	—	2	1	no	—
1205	#117	—	2	1	no	—
1206	#117	—	2	1	no	—
1207	#117	—	2	1	no	—
1208	#117	—	2	1	no	—
1209	#117	—	2	1	no	—
1210	#117	—	2	1	no	—
1211	#117	—	2	1	no	—
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	C₂³×C₁₃	1	1	yes	characteristic
1216	#117	C₂³×C₁₃	1	1	yes	characteristic
1217	#117	C₂³×C₁₃	1	1	yes	characteristic
1218	#117	C₂³×C₁₃	1	1	yes	characteristic
1219	#117	C₂³×C₁₃	1	1	yes	characteristic
1220	#117	C₂³×C₁₃	1	1	yes	characteristic
1221	C₂×C₄⋊C₄	—	2	1	no	—
1222	C₂×C₄⋊C₄	—	2	1	no	—
1223	C₂×C₄⋊C₄	—	2	1	no	—
1224	C₂×C₄⋊C₄	—	2	1	no	—
1225	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1226	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1227	C₂×C₂²⋊C₄	—	2	1	no	—
1228	C₂×C₂²⋊C₄	—	2	1	no	—
1229	C₂×C₂²⋊C₄	—	2	1	no	—
1230	C₂×C₂²⋊C₄	—	2	1	no	—
1231	C₂×C₄²	—	2	1	no	—
1232	C₂×C₄²	—	2	1	no	—
1233	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1234	#107	C₂³×C₁₃	1	1	yes	characteristic
1235	#107	C₂³×C₁₃	1	1	yes	characteristic
1236	#107	C₂³×C₁₃	1	1	yes	characteristic
1237	#107	C₂³×C₁₃	1	1	yes	characteristic
1238	#107	C₂³×C₁₃	1	1	yes	characteristic
1239	#107	C₂³×C₁₃	1	1	yes	characteristic
1240	#107	C₂³×C₁₃	1	1	yes	characteristic
1241	#107	C₂³×C₁₃	1	1	yes	characteristic
1242	#106	C₂³×C₁₃	1	1	yes	characteristic
1243	#106	C₂³×C₁₃	1	1	yes	characteristic
1244	#106	C₂³×C₁₃	1	1	yes	characteristic
1245	#106	C₂³×C₁₃	1	1	yes	characteristic
1246	#106	C₂³×C₁₃	1	1	yes	characteristic
1247	#106	C₂³×C₁₃	1	1	yes	characteristic
1248	#106	C₂³×C₁₃	1	1	yes	characteristic
1249	#106	C₂³×C₁₃	1	1	yes	characteristic
1250	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1251	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1252	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1253	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1254	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1255	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1256	#103	C₂³×C₁₃	1	1	yes	characteristic
1257	#103	C₂³×C₁₃	1	1	yes	characteristic
1258	#103	C₂³×C₁₃	1	1	yes	characteristic
1259	#103	C₂³×C₁₃	1	1	yes	characteristic
1260	#103	C₂³×C₁₃	1	1	yes	characteristic
1261	#103	C₂³×C₁₃	1	1	yes	characteristic
1262	#103	C₂³×C₁₃	1	1	yes	characteristic
1263	#103	C₂³×C₁₃	1	1	yes	characteristic
1264	#103	C₂³×C₁₃	1	1	yes	characteristic
1265	#103	C₂³×C₁₃	1	1	yes	characteristic
1266	#103	C₂³×C₁₃	1	1	yes	characteristic
1267	#103	C₂³×C₁₃	1	1	yes	characteristic
1268	#103	C₂³×C₁₃	1	1	yes	characteristic
1269	#103	C₂³×C₁₃	1	1	yes	characteristic
1270	#103	C₂³×C₁₃	1	1	yes	characteristic
1271	#103	C₂³×C₁₃	1	1	yes	characteristic
1272	#103	C₂³×C₁₃	1	1	yes	characteristic
1273	#103	C₂³×C₁₃	1	1	yes	characteristic
1274	#103	C₂³×C₁₃	1	1	yes	characteristic
1275	#103	C₂³×C₁₃	1	1	yes	characteristic
1276	#103	C₂³×C₁₃	1	1	yes	characteristic
1277	#103	C₂³×C₁₃	1	1	yes	characteristic
1278	#103	C₂³×C₁₃	1	1	yes	characteristic
1279	#103	C₂³×C₁₃	1	1	yes	characteristic
1280	#102	C₂³×C₁₃	1	1	yes	characteristic
1281	#102	C₂³×C₁₃	1	1	yes	characteristic
1282	#102	C₂³×C₁₃	1	1	yes	characteristic
1283	#102	C₂³×C₁₃	1	1	yes	characteristic
1284	#102	C₂³×C₁₃	1	1	yes	characteristic
1285	#102	C₂³×C₁₃	1	1	yes	characteristic
1286	#102	C₂³×C₁₃	1	1	yes	characteristic
1287	#102	C₂³×C₁₃	1	1	yes	characteristic
1288	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1289	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1290	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1291	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1292	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1293	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1294	#97	C₂³×C₁₃	1	1	yes	characteristic
1295	#97	C₂³×C₁₃	1	1	yes	characteristic
1296	#97	C₂³×C₁₃	1	1	yes	characteristic
1297	#97	C₂³×C₁₃	1	1	yes	characteristic
1298	#97	C₂³×C₁₃	1	1	yes	characteristic
1299	#97	C₂³×C₁₃	1	1	yes	characteristic
1300	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1301	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1302	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1303	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1304	C₂×C₁₃	—	4	1	no	—
1305	C₂×C₁₃	—	4	1	no	—
1306	C₂×C₁₃	—	4	1	no	—
1307	C₂×C₁₃	—	4	2	no	—
1308	C₂×C₁₃	—	8	1	no	—
1309	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1310	C₂×C₁₃	#3586	1	1	yes	characteristic
1311	C₂×C₁₃	#3586	1	1	yes	characteristic
1312	C₂⁴	—	2	1	no	—
1313	#41	—	2	2	no	—
1314	#41	—	2	2	no	—
1315	#41	—	4	1	no	—
1316	#41	—	4	1	no	—
1317	C₂×Q₈	—	2	1	no	—
1318	C₂×Q₈	—	2	1	no	—
1319	C₂×Q₈	—	2	1	no	—
1320	C₂×Q₈	—	2	1	no	—
1321	C₂×Q₈	—	2	1	no	—
1322	C₂×Q₈	—	2	2	no	—
1323	C₂×Q₈	—	2	2	no	—
1324	C₂×Q₈	—	2	2	no	—
1325	C₂×Q₈	—	4	1	no	—
1326	C₂×Q₈	—	4	1	no	—
1327	C₂×Q₈	—	4	1	no	—
1328	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1329	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1330	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1331	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1332	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1333	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1334	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1335	C₂×D₄	—	2	2	no	—
1336	C₂×D₄	—	2	1	no	—
1337	C₂×D₄	—	2	1	no	—
1338	C₂×D₄	—	2	1	no	—
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	4	1	no	—
1342	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1343	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1344	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1345	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1346	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	2	1	no	—
1356	C₂²×C₄	—	2	1	no	—
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	—	2	1	no	—
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1361	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1362	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1363	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1365	Q₁₆	—	2	2	no	—
1366	Q₁₆	—	2	2	no	—
1367	Q₁₆	—	2	2	no	—
1368	Q₁₆	—	2	2	no	—
1369	Q₁₆	—	4	1	no	—
1370	Q₁₆	—	4	1	no	—
1371	Q₁₆	—	4	1	no	—
1372	Q₁₆	—	4	1	no	—
1373	SD₁₆	—	2	2	no	—
1374	SD₁₆	—	2	2	no	—
1375	SD₁₆	—	2	2	no	—
1376	SD₁₆	—	2	2	no	—
1377	SD₁₆	—	2	2	no	—
1378	SD₁₆	—	4	1	no	—
1379	SD₁₆	—	4	1	no	—
1380	SD₁₆	C₁₃×#41	1	4	yes	—
1381	M₁₆	—	2	2	no	—
1382	M₁₆	—	2	2	no	—
1383	M₁₆	—	4	1	no	—
1384	M₁₆	—	4	1	no	—
1385	C₂×C₈	—	2	2	no	—
1386	C₂×C₈	—	4	1	no	—
1387	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1388	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1389	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1390	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1391	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1392	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1393	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1394	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1440	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1441	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1442	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1443	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1444	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1445	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1446	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1447	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1448	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1449	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1450	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1451	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1452	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1453	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1454	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1455	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1456	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1484	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1485	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1486	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1487	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1488	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1489	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1490	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1491	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1492	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1493	C₄²	—	2	1	no	—
1494	C₄²	—	2	1	no	—
1495	C₄²	—	2	1	no	—
1496	C₄²	—	2	1	no	—
1497	C₄²	—	2	1	no	—
1498	C₄²	—	2	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	—	2	1	no	—
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	2	1	no	—
1505	C₄²	—	2	1	no	—
1506	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1512	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1513	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1514	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1515	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1516	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1517	C₁₃	#61514	1	1	yes	characteristic, direct product factor, Sylow
1518	C₂³	—	2	1	no	—
1519	C₂³	—	2	1	no	—
1520	C₂³	—	4	2	no	—
1521	C₂³	—	8	1	no	—
1522	C₂³	—	8	1	no	—
1523	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1524	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1525	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1526	Q₈	—	2	1	no	—
1527	Q₈	—	2	1	no	—
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	2	1	no	—
1534	Q₈	—	2	1	no	—
1535	Q₈	—	2	1	no	—
1536	Q₈	—	2	1	no	—
1537	Q₈	—	4	1	no	—
1538	Q₈	—	4	2	no	—
1539	Q₈	—	4	2	no	—
1540	Q₈	—	4	2	no	—
1541	Q₈	—	4	2	no	—
1542	Q₈	—	8	1	no	—
1543	Q₈	C₂×C₁₃×#41	1	2	yes	—
1544	D₄	—	2	1	no	—
1545	D₄	—	2	1	no	—
1546	D₄	—	2	1	no	—
1547	D₄	—	4	1	no	—
1548	D₄	—	4	1	no	—
1549	D₄	—	4	1	no	—
1550	D₄	—	4	2	no	—
1551	D₄	—	4	2	no	—
1552	D₄	—	4	2	no	—
1553	D₄	—	8	1	no	—
1554	D₄	—	8	1	no	—
1555	D₄	C₂×C₁₃×#41	1	2	yes	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	4	1	no	—
1577	C₂×C₄	—	4	1	no	—
1578	C₂×C₄	—	4	2	no	—
1579	C₂×C₄	—	4	2	no	—
1580	C₂×C₄	—	4	2	no	—
1581	C₂×C₄	—	4	2	no	—
1582	C₂×C₄	—	4	2	no	—
1583	C₂×C₄	—	4	2	no	—
1584	C₂×C₄	—	8	1	no	—
1585	C₂×C₄	—	8	1	no	—
1586	C₂×C₄	—	8	1	no	—
1587	C₂×C₄	—	8	1	no	—
1588	C₂×C₄	—	8	1	no	—
1589	C₂×C₄	—	8	1	no	—
1590	C₂×C₄	—	8	1	no	—
1591	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1592	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1593	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1594	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1595	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1596	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1597	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1598	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1599	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1600	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1601	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1602	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1603	C₈	—	2	1	no	—
1604	C₈	—	2	1	no	—
1605	C₈	—	2	1	no	—
1606	C₈	—	2	1	no	—
1607	C₈	—	2	1	no	—
1608	C₈	—	2	1	no	—
1609	C₈	—	2	1	no	—
1610	C₈	C₂×C₁₃×#41	1	2	yes	—
1611	C₂²	—	2	1	no	—
1612	C₂²	—	2	1	no	—
1613	C₂²	—	2	1	no	—
1614	C₂²	—	2	1	no	—
1615	C₂²	—	2	1	no	—
1616	C₂²	—	2	1	no	—
1617	C₂²	—	2	1	no	—
1618	C₂²	—	2	1	no	—
1619	C₂²	—	2	1	no	—
1620	C₂²	—	2	2	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	16	2	no	—
1627	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1628	C₄	—	2	1	no	—
1629	C₄	—	2	1	no	—
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	2	2	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1654	C₄	C₁₃×#585	1	1	yes	characteristic
1655	C₂	—	4	1	no	—
1656	C₂	—	4	1	no	—
1657	C₂	—	4	1	no	—
1658	C₂	—	4	2	no	—
1659	C₂	—	8	1	no	—
1660	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1661	C₂	C₁₃×#3586	1	1	yes	characteristic
1662	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×#3523	C₂	semidirect
3. C₁₃×#3398	C₂	semidirect
4. C₁₃×#3388	C₂	semidirect
5. C₁₃×#3377	C₂	semidirect
6. C₁₃×#3372	C₂	semidirect
7. C₁₃×#3351	C₂	semidirect
8. C₁₃×#3349	C₂	semidirect
9. C₁₃×#3349	C₂	semidirect
10. C₁₃×#3328	C₂	semidirect
11. C₁₃×#3323	C₂	semidirect
12. C₁₃×#3320	C₂	semidirect
13. C₁₃×#3315	C₂	semidirect
14. C₁₃×#3312	C₂	semidirect
15. C₁₃×#3311	C₂	semidirect
16. C₁₃×#3276	C₂	semidirect
17. C₁₃×#3266	C₂	semidirect
18. C₁₃×#3266	C₂	semidirect
19. C₁₃×#3178	C₂	semidirect
20. C₁₃×#3177	C₂	semidirect
21. C₁₃×#3172	C₂	semidirect
22. C₁₃×#3127	C₂	semidirect
23. C₁₃×#3123	C₂	semidirect
24. C₁₃×#3121	C₂	semidirect
25. C₁₃×#3120	C₂	semidirect
26. C₁₃×#3117	C₂	semidirect
27. C₁₃×#3116	C₂	semidirect
28. C₁₃×#2967	C₂	semidirect
29. C₁₃×#2949	C₂	semidirect
30. C₁₃×#2947	C₂	semidirect
31. C₄×C₁₃×#137	C₂	semidirect
36. C₁₃×#557	C₂²	semidirect
37. C₁₃×#557	C₂²	semidirect
50. C₁₃×#552	C₂²	semidirect
55. D₄×Q₈×C₁₃	C₂²	semidirect
64. C₁₃×#541	C₂²	semidirect
68. C₁₃×#533	C₂²	semidirect
76. C₁₃×#519	C₂²	semidirect
79. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
80. C₁₃×#501	C₂²	semidirect
81. C₁₃×#501	C₂²	semidirect
82. C₁₃×#499	C₂²	semidirect
85. C₁₃×#494	C₂²	semidirect
86. C₁₃×#491	C₂²	semidirect
87. C₁₃×#491	C₂²	semidirect
88. C₁₃×#491	C₂²	semidirect
91. C₁₃×#487	C₂²	semidirect
96. C₁₃×#485	C₂²	semidirect
97. C₁₃×#485	C₂²	semidirect
98. C₁₃×#485	C₂²	semidirect
99. C₁₃×#484	C₂²	semidirect
100. C₁₃×#484	C₂²	semidirect
101. C₁₃×#483	C₂²	semidirect
104. C₁₃×#479	C₂²	semidirect
105. C₁₃×#479	C₂²	semidirect
106. C₁₃×#479	C₂²	semidirect
107. C₁₃×#479	C₂²	semidirect
108. C₁₃×#479	C₂²	semidirect
112. C₁₃×#477	C₂²	semidirect
113. C₁₃×#477	C₂²	semidirect
115. C₁₃×#475	C₂²	semidirect
118. C₁₃×#470	C₂²	semidirect
119. C₁₃×#470	C₂²	semidirect
120. C₁₃×#470	C₂²	semidirect
126. C₁₃×#467	C₂²	semidirect
132. C₁₃×#462	C₂²	semidirect
133. C₁₃×#462	C₂²	semidirect
134. C₁₃×#462	C₂²	semidirect
135. C₁₃×#462	C₂²	semidirect
146. C₁₃×#451	C₂²	semidirect
147. C₁₃×#451	C₂²	semidirect
152. C₁₃×#446	C₂²	semidirect
153. C₁₃×#446	C₂²	semidirect
154. C₁₃×#441	C₂²	semidirect
155. C₁₃×#441	C₂²	semidirect
156. C₁₃×#441	C₂²	semidirect
157. C₁₃×#441	C₂²	semidirect
158. C₁₃×#441	C₂²	semidirect
159. C₁₃×#441	C₂²	semidirect
160. C₁₃×#441	C₂²	semidirect
170. C₄×C₁₃×Q₁₆	C₂²	semidirect
171. C₄×C₁₃×Q₁₆	C₂²	semidirect
172. C₄×C₁₃×Q₁₆	C₂²	semidirect
173. C₄×C₁₃×Q₁₆	C₂²	semidirect
174. C₄×C₁₃×Q₁₆	C₂²	semidirect
183. C₁₃×#436	C₂²	semidirect
187. C₁₃×#435	C₂²	semidirect
189. C₁₃×#433	C₂²	semidirect
190. C₁₃×#432	C₂²	semidirect
191. C₁₃×#428	C₂²	semidirect
192. C₁₃×#428	C₂²	semidirect
195. C₁₃×#419	C₂²	semidirect
199. C₂×C₁₃×#103	C₂²	semidirect
201. C₁₃×#405	C₂²	semidirect
202. C₄×C₁₃×M₁₆	C₂²	semidirect
481. #61514	C₁₃	direct (N × H)
687. #3523	C₂×C₁₃	semidirect
689. #3398	C₂×C₁₃	semidirect
690. #3388	C₂×C₁₃	semidirect
691. #3377	C₂×C₁₃	semidirect
692. #3372	C₂×C₁₃	semidirect
693. #3351	C₂×C₁₃	semidirect
694. #3349	C₂×C₁₃	semidirect
695. #3349	C₂×C₁₃	semidirect
696. #3328	C₂×C₁₃	semidirect
697. #3323	C₂×C₁₃	semidirect
698. #3320	C₂×C₁₃	semidirect
699. #3315	C₂×C₁₃	semidirect
700. #3312	C₂×C₁₃	semidirect
701. #3311	C₂×C₁₃	semidirect
702. #3276	C₂×C₁₃	semidirect
703. #3266	C₂×C₁₃	semidirect
704. #3266	C₂×C₁₃	semidirect
705. #3178	C₂×C₁₃	semidirect
706. #3177	C₂×C₁₃	semidirect
707. #3172	C₂×C₁₃	semidirect
708. #3127	C₂×C₁₃	semidirect
709. #3123	C₂×C₁₃	semidirect
710. #3121	C₂×C₁₃	semidirect
711. #3120	C₂×C₁₃	semidirect
712. #3117	C₂×C₁₃	semidirect
713. #3116	C₂×C₁₃	semidirect
714. #2967	C₂×C₁₃	semidirect
715. #2949	C₂×C₁₃	semidirect
716. #2947	C₂×C₁₃	semidirect
717. C₄×#137	C₂×C₁₃	semidirect
815. #557	C₂²×C₁₃	semidirect
816. #557	C₂²×C₁₃	semidirect
829. #552	C₂²×C₁₃	semidirect
834. D₄×Q₈	C₂²×C₁₃	semidirect
843. #541	C₂²×C₁₃	semidirect
847. #533	C₂²×C₁₃	semidirect
855. #519	C₂²×C₁₃	semidirect
858. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
859. #501	C₂²×C₁₃	semidirect
860. #501	C₂²×C₁₃	semidirect
861. #499	C₂²×C₁₃	semidirect
864. #494	C₂²×C₁₃	semidirect
865. #491	C₂²×C₁₃	semidirect
866. #491	C₂²×C₁₃	semidirect
867. #491	C₂²×C₁₃	semidirect
870. #487	C₂²×C₁₃	semidirect
875. #485	C₂²×C₁₃	semidirect
876. #485	C₂²×C₁₃	semidirect
877. #485	C₂²×C₁₃	semidirect
878. #484	C₂²×C₁₃	semidirect
879. #484	C₂²×C₁₃	semidirect
880. #483	C₂²×C₁₃	semidirect
883. #479	C₂²×C₁₃	semidirect
884. #479	C₂²×C₁₃	semidirect
885. #479	C₂²×C₁₃	semidirect
886. #479	C₂²×C₁₃	semidirect
887. #479	C₂²×C₁₃	semidirect
891. #477	C₂²×C₁₃	semidirect
892. #477	C₂²×C₁₃	semidirect
894. #475	C₂²×C₁₃	semidirect
897. #470	C₂²×C₁₃	semidirect
898. #470	C₂²×C₁₃	semidirect
899. #470	C₂²×C₁₃	semidirect
905. #467	C₂²×C₁₃	semidirect
911. #462	C₂²×C₁₃	semidirect
912. #462	C₂²×C₁₃	semidirect
913. #462	C₂²×C₁₃	semidirect
914. #462	C₂²×C₁₃	semidirect
925. #451	C₂²×C₁₃	semidirect
926. #451	C₂²×C₁₃	semidirect
931. #446	C₂²×C₁₃	semidirect
932. #446	C₂²×C₁₃	semidirect
933. #441	C₂²×C₁₃	semidirect
934. #441	C₂²×C₁₃	semidirect
935. #441	C₂²×C₁₃	semidirect
936. #441	C₂²×C₁₃	semidirect
937. #441	C₂²×C₁₃	semidirect
938. #441	C₂²×C₁₃	semidirect
939. #441	C₂²×C₁₃	semidirect
949. C₄×Q₁₆	C₂²×C₁₃	semidirect
950. C₄×Q₁₆	C₂²×C₁₃	semidirect
951. C₄×Q₁₆	C₂²×C₁₃	semidirect
952. C₄×Q₁₆	C₂²×C₁₃	semidirect
953. C₄×Q₁₆	C₂²×C₁₃	semidirect
962. #436	C₂²×C₁₃	semidirect
966. #435	C₂²×C₁₃	semidirect
968. #433	C₂²×C₁₃	semidirect
969. #432	C₂²×C₁₃	semidirect
970. #428	C₂²×C₁₃	semidirect
971. #428	C₂²×C₁₃	semidirect
974. #419	C₂²×C₁₃	semidirect
978. C₂×#103	C₂²×C₁₃	semidirect
980. #405	C₂²×C₁₃	semidirect
981. C₄×M₁₆	C₂²×C₁₃	semidirect
1517. C₁₃	#61514	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×#3523	2
C₁₃×#3521	2
C₁₃×#3398	2
C₁₃×#3388	2
C₁₃×#3377	2
C₁₃×#3372	2
C₁₃×#3351	2
C₁₃×#3349	2
C₁₃×#3328	2
C₁₃×#3323	2
C₁₃×#3320	2
C₁₃×#3315	2
C₁₃×#3312	2
C₁₃×#3311	2
C₁₃×#3276	2
C₁₃×#3266	2
C₁₃×#3178	2
C₁₃×#3177	2
C₁₃×#3172	2
C₁₃×#3127	2
C₁₃×#3123	2
C₁₃×#3121	2
C₁₃×#3120	2
C₁₃×#3117	2
C₁₃×#3116	2
C₁₃×#2967	2
C₁₃×#2949	2
C₁₃×#2947	2
C₄×C₁₃×#137	2
#61514	13

Subgroups — C13×#61514 #15747853

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61514 #15747853