Subgroups — C₁₃×#62025 #15748364

Order 3328.

1786 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3524	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3309	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3300	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3285	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3284	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3269	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3263	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3248	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3225	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3221	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3044	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2992	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	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
37	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
38	C₁₃×#562	—	2	1	no	—
39	C₁₃×#562	—	2	1	no	—
40	C₁₃×#559	—	2	1	no	—
41	C₁₃×#559	—	2	1	no	—
42	C₁₃×#559	C₂²	1	1	yes	characteristic
43	C₁₃×#559	C₂²	1	1	yes	characteristic
44	C₁₃×#557	C₂²	1	1	yes	characteristic
45	C₁₃×#557	C₂²	1	1	yes	characteristic
46	C₁₃×#555	—	2	1	no	—
47	C₁₃×#555	C₂²	1	1	yes	characteristic
48	C₁₃×#554	—	2	1	no	—
49	C₁₃×#553	—	2	1	no	—
50	C₁₃×#553	C₂²	1	1	yes	characteristic
51	C₁₃×#552	—	2	1	no	—
52	C₁₃×#552	C₂²	1	1	yes	characteristic
53	C₁₃×#550	C₂²	1	1	yes	characteristic
54	C₁₃×#550	C₂²	1	1	yes	characteristic
55	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
56	C₁₃×#548	C₂²	1	1	yes	characteristic
57	C₁₃×#548	C₂²	1	1	yes	characteristic
58	C₁₃×#548	C₂²	1	1	yes	characteristic
59	C₁₃×#548	C₂²	1	1	yes	characteristic
60	C₁₃×#547	C₂²	1	1	yes	characteristic
61	C₁₃×#547	C₂²	1	1	yes	characteristic
62	C₁₃×#542	—	2	1	no	—
63	C₁₃×#542	—	2	1	no	—
64	C₁₃×#542	C₂²	1	1	yes	characteristic
65	C₁₃×#542	C₂²	1	1	yes	characteristic
66	C₁₃×#542	C₂²	1	1	yes	characteristic
67	C₁₃×#540	—	2	1	no	—
68	C₁₃×#540	—	2	1	no	—
69	C₁₃×#540	C₂²	1	1	yes	characteristic
70	C₁₃×#539	—	2	1	no	—
71	C₁₃×#539	—	2	1	no	—
72	C₁₃×#536	C₂²	1	1	yes	characteristic
73	C₁₃×#536	C₂²	1	1	yes	characteristic
74	C₁₃×#533	C₂²	1	1	yes	characteristic
75	C₁₃×#532	C₂²	1	1	yes	characteristic
76	C₁₃×#529	—	2	1	no	—
77	C₁₃×#529	—	2	1	no	—
78	C₁₃×#529	C₂²	1	1	yes	characteristic
79	C₁₃×#529	C₂²	1	1	yes	characteristic
80	C₁₃×#520	C₂²	1	1	yes	characteristic
81	C₁₃×#519	C₂²	1	1	yes	characteristic
82	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
83	C₁₃×#497	C₂²	1	1	yes	characteristic
84	C₁₃×#497	C₂²	1	1	yes	characteristic
85	C₁₃×#496	C₂²	1	1	yes	characteristic
86	C₁₃×#496	C₂²	1	1	yes	characteristic
87	C₁₃×#495	C₂²	1	1	yes	characteristic
88	C₁₃×#492	C₂²	1	1	yes	characteristic
89	C₁₃×#491	C₂²	1	1	yes	characteristic
90	C₁₃×#491	C₂²	1	1	yes	characteristic
91	C₁₃×#490	C₂²	1	1	yes	characteristic
92	C₁₃×#489	C₂²	1	1	yes	characteristic
93	C₁₃×#488	C₂²	1	1	yes	characteristic
94	C₁₃×#487	C₂²	1	1	yes	characteristic
95	C₁₃×#485	C₂²	1	1	yes	characteristic
96	C₁₃×#485	C₂²	1	1	yes	characteristic
97	C₁₃×#485	C₂²	1	1	yes	characteristic
98	C₁₃×#484	C₂²	1	1	yes	characteristic
99	C₁₃×#482	C₂²	1	1	yes	characteristic
100	C₁₃×#480	C₂²	1	1	yes	characteristic
101	C₁₃×#479	C₂²	1	1	yes	characteristic
102	C₁₃×#479	C₂²	1	1	yes	characteristic
103	C₁₃×#479	C₂²	1	1	yes	characteristic
104	C₁₃×#478	C₂²	1	1	yes	characteristic
105	C₁₃×#477	C₂²	1	1	yes	characteristic
106	C₁₃×#476	C₂²	1	1	yes	characteristic
107	C₁₃×#476	C₂²	1	1	yes	characteristic
108	C₁₃×#475	C₂²	1	1	yes	characteristic
109	C₁₃×#475	C₂²	1	1	yes	characteristic
110	C₁₃×#474	C₂²	1	1	yes	characteristic
111	C₁₃×#470	C₂²	1	1	yes	characteristic
112	C₁₃×#469	C₂²	1	1	yes	characteristic
113	C₁₃×#469	C₂²	1	1	yes	characteristic
114	C₁₃×#468	C₂²	1	1	yes	characteristic
115	C₁₃×#467	C₂²	1	1	yes	characteristic
116	C₁₃×#467	C₂²	1	1	yes	characteristic
117	C₁₃×#466	C₂²	1	1	yes	characteristic
118	C₁₃×#465	C₂²	1	1	yes	characteristic
119	C₁₃×#465	C₂²	1	1	yes	characteristic
120	C₁₃×#465	C₂²	1	1	yes	characteristic
121	C₁₃×#465	C₂²	1	1	yes	characteristic
122	C₁₃×#465	C₂²	1	1	yes	characteristic
123	C₁₃×#464	C₂²	1	1	yes	characteristic
124	C₁₃×#464	C₂²	1	1	yes	characteristic
125	C₁₃×#464	C₂²	1	1	yes	characteristic
126	C₁₃×#464	C₂²	1	1	yes	characteristic
127	C₁₃×#464	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×#464	C₂²	1	1	yes	characteristic
133	C₁₃×#463	C₂²	1	1	yes	characteristic
134	C₁₃×#463	C₂²	1	1	yes	characteristic
135	C₁₃×#463	C₂²	1	1	yes	characteristic
136	C₁₃×#463	C₂²	1	1	yes	characteristic
137	C₁₃×#463	C₂²	1	1	yes	characteristic
138	C₁₃×#463	C₂²	1	1	yes	characteristic
139	C₁₃×#462	C₂²	1	1	yes	characteristic
140	C₁₃×#462	C₂²	1	1	yes	characteristic
141	C₁₃×#462	C₂²	1	1	yes	characteristic
142	C₁₃×#462	C₂²	1	1	yes	characteristic
143	C₁₃×#462	C₂²	1	1	yes	characteristic
144	C₁₃×#462	C₂²	1	1	yes	characteristic
145	C₁₃×#461	C₂²	1	1	yes	characteristic
146	C₁₃×#461	C₂²	1	1	yes	characteristic
147	C₁₃×#461	C₂²	1	1	yes	characteristic
148	C₁₃×#461	C₂²	1	1	yes	characteristic
149	C₁₃×#460	C₂²	1	1	yes	characteristic
150	C₁₃×#460	C₂²	1	1	yes	characteristic
151	C₁₃×#459	C₂²	1	1	yes	characteristic
152	C₁₃×#459	C₂²	1	1	yes	characteristic
153	C₁₃×#452	C₂²	1	1	yes	characteristic
154	C₁₃×#452	C₂²	1	1	yes	characteristic
155	C₁₃×#452	C₂²	1	1	yes	characteristic
156	C₁₃×#452	C₂²	1	1	yes	characteristic
157	C₁₃×#452	C₂²	1	1	yes	characteristic
158	C₁₃×#452	C₂²	1	1	yes	characteristic
159	C₁₃×#451	C₂²	1	1	yes	characteristic
160	C₁₃×#451	C₂²	1	1	yes	characteristic
161	C₁₃×#449	C₂²	1	1	yes	characteristic
162	C₁₃×#449	C₂²	1	1	yes	characteristic
163	C₁₃×#449	C₂²	1	1	yes	characteristic
164	C₁₃×#449	C₂²	1	1	yes	characteristic
165	C₁₃×#449	C₂²	1	1	yes	characteristic
166	C₁₃×#449	C₂²	1	1	yes	characteristic
167	C₁₃×#448	C₂²	1	1	yes	characteristic
168	C₁₃×#448	C₂²	1	1	yes	characteristic
169	C₁₃×#448	C₂²	1	1	yes	characteristic
170	C₁₃×#448	C₂²	1	1	yes	characteristic
171	C₁₃×#446	C₂²	1	1	yes	characteristic
172	C₁₃×#446	C₂²	1	1	yes	characteristic
173	C₁₃×#441	C₂²	1	1	yes	characteristic
174	C₁₃×#441	C₂²	1	1	yes	characteristic
175	C₁₃×#441	C₂²	1	1	yes	characteristic
176	C₁₃×#440	C₂²	1	1	yes	characteristic
177	C₁₃×#440	C₂²	1	1	yes	characteristic
178	C₁₃×#440	C₂²	1	1	yes	characteristic
179	C₁₃×#440	C₂²	1	1	yes	characteristic
180	C₁₃×#440	C₂²	1	1	yes	characteristic
181	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
182	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
183	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
184	C₄×C₁₃×D₈	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
188	C₁₃×#435	C₂²	1	1	yes	characteristic
189	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
190	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
191	C₁₃×#433	C₂²	1	1	yes	characteristic
192	C₁₃×#433	C₂²	1	1	yes	characteristic
193	C₁₃×#432	C₂²	1	1	yes	characteristic
194	C₁₃×#424	C₂²	1	1	yes	characteristic
195	C₁₃×#424	C₂²	1	1	yes	characteristic
196	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
197	C₁₃×#419	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×#103	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
210	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
211	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
212	C₁₃×#137	—	4	2	no	—
213	C₁₃×#137	—	4	2	no	—
214	C₁₃×#135	—	4	2	no	—
215	C₁₃×#135	—	4	2	no	—
216	C₁₃×#135	—	4	2	no	—
217	C₂×C₁₃×Q₁₆	—	4	2	no	—
218	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×Q₁₆	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×SD₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
244	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
245	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₁₃×C₄⋊Q₈	—	2	1	no	—
249	C₁₃×C₄⋊Q₈	—	2	1	no	—
250	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
251	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
252	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
253	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
254	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₃×#127	—	2	1	no	—
257	C₁₃×#127	—	2	1	no	—
258	C₁₃×#127	C₂³	1	1	yes	characteristic
259	C₁₃×#127	C₂³	1	1	yes	characteristic
260	C₁₃×#126	—	2	1	no	—
261	C₁₃×#126	—	2	1	no	—
262	C₁₃×#126	—	2	1	no	—
263	C₁₃×#126	—	2	1	no	—
264	C₁₃×#126	—	2	1	no	—
265	C₁₃×#126	—	2	1	no	—
266	C₁₃×#126	D₄	1	1	yes	characteristic
267	C₁₃×#126	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
276	C₁₃×#125	C₂³	1	1	yes	characteristic
277	C₁₃×#125	C₂³	1	1	yes	characteristic
278	C₁₃×#124	—	2	1	no	—
279	C₁₃×#124	—	2	1	no	—
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	—	2	1	no	—
286	C₁₃×#124	—	2	1	no	—
287	C₁₃×#124	—	2	1	no	—
288	C₁₃×#124	—	2	1	no	—
289	C₁₃×#124	D₄	1	1	yes	characteristic
290	C₁₃×#124	C₂³	1	1	yes	characteristic
291	C₁₃×#124	C₂³	1	1	yes	characteristic
292	C₁₃×#124	C₂³	1	1	yes	characteristic
293	C₁₃×#124	C₂³	1	1	yes	characteristic
294	C₁₃×#124	C₂³	1	1	yes	characteristic
295	C₁₃×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
301	C₁₃×#123	—	2	1	no	—
302	C₁₃×#123	—	2	1	no	—
303	C₁₃×#123	—	2	1	no	—
304	C₁₃×#123	—	2	1	no	—
305	C₁₃×#123	—	2	1	no	—
306	C₁₃×#123	—	2	1	no	—
307	C₁₃×#123	—	2	1	no	—
308	C₁₃×#123	—	2	1	no	—
309	C₁₃×#123	—	2	1	no	—
310	C₁₃×#123	—	2	1	no	—
311	C₁₃×#123	—	2	1	no	—
312	C₁₃×#123	—	2	1	no	—
313	C₁₃×#123	—	2	1	no	—
314	C₁₃×#123	—	2	1	no	—
315	C₁₃×#123	—	2	1	no	—
316	C₁₃×#123	D₄	1	1	yes	characteristic
317	C₁₃×#123	D₄	1	1	yes	characteristic
318	C₁₃×C₂²⋊Q₈	—	2	1	no	—
319	C₁₃×C₂²⋊Q₈	—	2	1	no	—
320	C₁₃×C₂²⋊Q₈	—	2	1	no	—
321	C₁₃×C₂²⋊Q₈	—	2	1	no	—
322	C₁₃×C₂²⋊Q₈	—	2	1	no	—
323	C₁₃×C₂²⋊Q₈	—	2	1	no	—
324	C₁₃×C₂²⋊Q₈	—	2	1	no	—
325	C₁₃×C₂²⋊Q₈	—	2	1	no	—
326	C₁₃×C₂²⋊Q₈	—	2	1	no	—
327	C₁₃×C₂²⋊Q₈	—	2	1	no	—
328	C₁₃×C₂²⋊Q₈	—	2	1	no	—
329	C₁₃×C₂²⋊Q₈	—	2	1	no	—
330	C₁₃×C₂²⋊Q₈	—	2	1	no	—
331	C₁₃×C₂²⋊Q₈	—	2	1	no	—
332	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
333	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
334	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
335	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
336	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₁₃×#121	—	2	1	no	—
340	C₁₃×#121	—	2	1	no	—
341	C₁₃×#121	—	2	1	no	—
342	C₁₃×#121	—	2	1	no	—
343	C₁₃×#121	—	2	1	no	—
344	C₁₃×#121	—	2	1	no	—
345	C₁₃×#121	—	2	1	no	—
346	C₁₃×#121	—	2	1	no	—
347	C₁₃×#121	—	2	1	no	—
348	C₁₃×#121	—	2	1	no	—
349	C₁₃×#121	—	2	1	no	—
350	C₁₃×#121	—	2	1	no	—
351	C₁₃×#121	—	2	1	no	—
352	C₁₃×#121	—	2	1	no	—
353	C₁₃×#121	—	2	1	no	—
354	C₁₃×#121	—	2	1	no	—
355	C₁₃×#121	D₄	1	1	yes	characteristic
356	C₁₃×#121	C₂³	1	1	yes	characteristic
357	C₁₃×#121	C₂³	1	1	yes	characteristic
358	C₁₃×#121	C₂³	1	1	yes	characteristic
359	C₁₃×#121	C₂³	1	1	yes	characteristic
360	C₁₃×#121	C₂³	1	1	yes	characteristic
361	C₁₃×#121	C₂³	1	1	yes	characteristic
362	C₄×Q₈×C₁₃	—	2	1	no	—
363	C₄×Q₈×C₁₃	—	2	1	no	—
364	C₄×Q₈×C₁₃	—	2	1	no	—
365	C₄×Q₈×C₁₃	—	2	1	no	—
366	C₄×Q₈×C₁₃	—	2	1	no	—
367	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
368	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
370	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
374	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
375	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
376	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
377	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₁₃	—	2	1	no	—
379	C₄×D₄×C₁₃	—	2	1	no	—
380	C₄×D₄×C₁₃	—	2	1	no	—
381	C₄×D₄×C₁₃	—	2	1	no	—
382	C₄×D₄×C₁₃	—	2	1	no	—
383	C₄×D₄×C₁₃	—	2	1	no	—
384	C₄×D₄×C₁₃	—	2	1	no	—
385	C₄×D₄×C₁₃	—	2	1	no	—
386	C₄×D₄×C₁₃	—	2	1	no	—
387	C₄×D₄×C₁₃	—	2	1	no	—
388	C₄×D₄×C₁₃	—	2	1	no	—
389	C₄×D₄×C₁₃	—	2	1	no	—
390	C₄×D₄×C₁₃	—	2	1	no	—
391	C₄×D₄×C₁₃	—	2	1	no	—
392	C₄×D₄×C₁₃	—	2	1	no	—
393	C₄×D₄×C₁₃	—	2	1	no	—
394	C₄×D₄×C₁₃	—	2	1	no	—
395	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
401	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
402	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
403	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
404	C₁₃×#117	—	2	1	no	—
405	C₁₃×#117	—	2	1	no	—
406	C₁₃×#117	—	2	1	no	—
407	C₁₃×#117	—	2	1	no	—
408	C₁₃×#117	—	2	1	no	—
409	C₁₃×#117	—	2	1	no	—
410	C₁₃×#117	—	2	1	no	—
411	C₁₃×#117	—	2	1	no	—
412	C₁₃×#117	C₂³	1	1	yes	characteristic
413	C₁₃×#117	C₂³	1	1	yes	characteristic
414	C₁₃×#117	C₂³	1	1	yes	characteristic
415	C₁₃×#117	C₂³	1	1	yes	characteristic
416	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
417	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
419	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
420	C₂×C₄²×C₁₃	—	2	1	no	—
421	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
422	C₁₃×#107	C₂³	1	1	yes	characteristic
423	C₁₃×#107	C₂³	1	1	yes	characteristic
424	C₁₃×#107	C₂³	1	1	yes	characteristic
425	C₁₃×#107	C₂³	1	1	yes	characteristic
426	C₁₃×#106	C₂³	1	1	yes	characteristic
427	C₁₃×#106	C₂³	1	1	yes	characteristic
428	C₁₃×#106	C₂³	1	1	yes	characteristic
429	C₁₃×#106	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
458	C₁₃×#103	C₂³	1	1	yes	characteristic
459	C₁₃×#103	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×#102	C₂³	1	1	yes	characteristic
467	C₁₃×#102	C₂³	1	1	yes	characteristic
468	C₁₃×#102	C₂³	1	1	yes	characteristic
469	C₁₃×#102	C₂³	1	1	yes	characteristic
470	C₁₃×#102	C₂³	1	1	yes	characteristic
471	C₁₃×#102	C₂³	1	1	yes	characteristic
472	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₁₃×#97	C₂³	1	1	yes	characteristic
479	C₁₃×#97	C₂³	1	1	yes	characteristic
480	C₁₃×#97	C₂³	1	1	yes	characteristic
481	C₁₃×#97	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
484	#62025	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
485	C₁₃×#41	—	2	2	no	—
486	C₁₃×#41	—	2	2	no	—
487	C₁₃×#41	—	4	1	no	—
488	C₁₃×#41	—	4	1	no	—
489	C₁₃×#41	—	4	1	no	—
490	C₁₃×#41	—	4	1	no	—
491	C₁₃×#41	—	4	1	no	—
492	C₁₃×#41	—	4	1	no	—
493	C₁₃×#41	—	4	1	no	—
494	C₁₃×#41	—	4	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₂×Q₈×C₁₃	—	2	1	no	—
498	C₂×Q₈×C₁₃	—	2	1	no	—
499	C₂×Q₈×C₁₃	—	2	1	no	—
500	C₂×Q₈×C₁₃	—	2	1	no	—
501	C₂×Q₈×C₁₃	—	2	1	no	—
502	C₂×Q₈×C₁₃	—	2	2	no	—
503	C₂×Q₈×C₁₃	—	4	1	no	—
504	C₂×Q₈×C₁₃	—	4	1	no	—
505	C₂×Q₈×C₁₃	—	4	1	no	—
506	C₂×Q₈×C₁₃	—	4	1	no	—
507	C₂×Q₈×C₁₃	—	4	1	no	—
508	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
509	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	—	2	1	no	—
519	C₂×D₄×C₁₃	—	2	1	no	—
520	C₂×D₄×C₁₃	—	2	1	no	—
521	C₂×D₄×C₁₃	—	2	1	no	—
522	C₂×D₄×C₁₃	—	2	1	no	—
523	C₂×D₄×C₁₃	—	2	1	no	—
524	C₂×D₄×C₁₃	—	2	1	no	—
525	C₂×D₄×C₁₃	—	2	1	no	—
526	C₂×D₄×C₁₃	—	2	1	no	—
527	C₂×D₄×C₁₃	—	2	1	no	—
528	C₂×D₄×C₁₃	—	2	1	no	—
529	C₂×D₄×C₁₃	—	2	1	no	—
530	C₂×D₄×C₁₃	—	2	1	no	—
531	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
533	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
534	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
536	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
537	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₁₃	—	2	1	no	—
539	C₂²×C₄×C₁₃	—	2	1	no	—
540	C₂²×C₄×C₁₃	—	2	1	no	—
541	C₂²×C₄×C₁₃	—	2	1	no	—
542	C₂²×C₄×C₁₃	—	2	1	no	—
543	C₂²×C₄×C₁₃	—	2	1	no	—
544	C₂²×C₄×C₁₃	—	2	1	no	—
545	C₂²×C₄×C₁₃	—	2	1	no	—
546	C₂²×C₄×C₁₃	—	2	1	no	—
547	C₂²×C₄×C₁₃	—	2	1	no	—
548	C₂²×C₄×C₁₃	—	2	1	no	—
549	C₂²×C₄×C₁₃	—	2	1	no	—
550	C₂²×C₄×C₁₃	—	2	1	no	—
551	C₂²×C₄×C₁₃	—	2	1	no	—
552	C₂²×C₄×C₁₃	—	2	1	no	—
553	C₂²×C₄×C₁₃	—	2	1	no	—
554	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
555	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
556	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
559	C₁₃×Q₁₆	—	2	2	no	—
560	C₁₃×Q₁₆	—	2	2	no	—
561	C₁₃×Q₁₆	—	2	2	no	—
562	C₁₃×Q₁₆	—	2	2	no	—
563	C₁₃×Q₁₆	—	4	1	no	—
564	C₁₃×Q₁₆	—	4	1	no	—
565	C₁₃×Q₁₆	—	4	1	no	—
566	C₁₃×Q₁₆	—	4	1	no	—
567	C₁₃×SD₁₆	—	2	2	no	—
568	C₁₃×SD₁₆	—	2	2	no	—
569	C₁₃×SD₁₆	—	4	1	no	—
570	C₁₃×SD₁₆	—	4	1	no	—
571	C₁₃×SD₁₆	—	4	1	no	—
572	C₁₃×SD₁₆	—	4	1	no	—
573	C₁₃×SD₁₆	—	4	1	no	—
574	C₁₃×SD₁₆	—	4	1	no	—
575	C₁₃×SD₁₆	—	4	1	no	—
576	C₁₃×SD₁₆	—	4	1	no	—
577	C₁₃×SD₁₆	—	4	1	no	—
578	C₁₃×SD₁₆	—	4	1	no	—
579	C₁₃×D₈	—	4	1	no	—
580	C₁₃×D₈	—	4	1	no	—
581	C₁₃×D₈	—	4	1	no	—
582	C₁₃×D₈	—	4	1	no	—
583	C₁₃×M₁₆	—	4	1	no	—
584	C₁₃×M₁₆	—	4	1	no	—
585	C₂×C₈×C₁₃	—	4	1	no	—
586	C₂×C₈×C₁₃	—	4	1	no	—
587	C₂×C₈×C₁₃	—	4	1	no	—
588	C₂×C₈×C₁₃	—	4	1	no	—
589	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
590	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
594	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
595	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	—	2	1	no	—
612	C₁₃×C₄⋊C₄	—	2	1	no	—
613	C₁₃×C₄⋊C₄	—	2	1	no	—
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	—	2	1	no	—
617	C₁₃×C₄⋊C₄	—	2	1	no	—
618	C₁₃×C₄⋊C₄	—	2	1	no	—
619	C₁₃×C₄⋊C₄	—	2	1	no	—
620	C₁₃×C₄⋊C₄	—	2	1	no	—
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	—	2	1	no	—
625	C₁₃×C₄⋊C₄	—	2	1	no	—
626	C₁₃×C₄⋊C₄	—	2	1	no	—
627	C₁₃×C₄⋊C₄	—	2	1	no	—
628	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	—	2	1	no	—
656	C₁₃×C₂²⋊C₄	—	2	1	no	—
657	C₁₃×C₂²⋊C₄	—	2	1	no	—
658	C₁₃×C₂²⋊C₄	—	2	1	no	—
659	C₁₃×C₂²⋊C₄	—	2	1	no	—
660	C₁₃×C₂²⋊C₄	—	2	1	no	—
661	C₁₃×C₂²⋊C₄	—	2	1	no	—
662	C₁₃×C₂²⋊C₄	—	2	1	no	—
663	C₁₃×C₂²⋊C₄	—	2	1	no	—
664	C₁₃×C₂²⋊C₄	—	2	1	no	—
665	C₁₃×C₂²⋊C₄	—	2	1	no	—
666	C₁₃×C₂²⋊C₄	—	2	1	no	—
667	C₁₃×C₂²⋊C₄	—	2	1	no	—
668	C₁₃×C₂²⋊C₄	—	2	1	no	—
669	C₁₃×C₂²⋊C₄	—	2	1	no	—
670	C₁₃×C₂²⋊C₄	—	2	1	no	—
671	C₁₃×C₂²⋊C₄	—	2	1	no	—
672	C₁₃×C₂²⋊C₄	—	2	1	no	—
673	C₁₃×C₂²⋊C₄	—	2	1	no	—
674	C₁₃×C₂²⋊C₄	—	2	1	no	—
675	C₁₃×C₂²⋊C₄	—	2	1	no	—
676	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
679	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
680	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
681	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
682	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
683	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
684	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
685	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
686	C₄²×C₁₃	—	2	1	no	—
687	C₄²×C₁₃	—	2	1	no	—
688	C₄²×C₁₃	—	2	1	no	—
689	C₄²×C₁₃	—	2	1	no	—
690	C₄²×C₁₃	—	2	1	no	—
691	C₄²×C₁₃	—	2	1	no	—
692	C₄²×C₁₃	—	2	1	no	—
693	C₄²×C₁₃	—	2	1	no	—
694	C₄²×C₁₃	—	2	1	no	—
695	C₄²×C₁₃	—	2	1	no	—
696	C₄²×C₁₃	—	2	1	no	—
697	C₄²×C₁₃	—	2	1	no	—
698	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
699	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
700	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
701	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
702	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
703	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
704	#3554	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3524	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3403	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3400	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3374	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3371	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#3321	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3320	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3315	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#3309	C₂×C₁₃	1	1	yes	characteristic, complemented
714	#3303	C₂×C₁₃	1	1	yes	characteristic, complemented
715	#3300	C₂×C₁₃	1	1	yes	characteristic, complemented
716	#3285	C₂×C₁₃	1	1	yes	characteristic, complemented
717	#3284	C₂×C₁₃	1	1	yes	characteristic, complemented
718	#3271	C₂×C₁₃	1	1	yes	characteristic, complemented
719	#3271	C₂×C₁₃	1	1	yes	characteristic, complemented
720	#3270	C₂×C₁₃	1	1	yes	characteristic, complemented
721	#3269	C₂×C₁₃	1	1	yes	characteristic, complemented
722	#3263	C₂×C₁₃	1	1	yes	characteristic, complemented
723	#3257	C₂×C₁₃	1	1	yes	characteristic, complemented
724	#3248	C₂×C₁₃	1	1	yes	characteristic, complemented
725	#3225	C₂×C₁₃	1	1	yes	characteristic, complemented
726	#3221	C₂×C₁₃	1	1	yes	characteristic, complemented
727	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
728	#3124	C₂×C₁₃	1	1	yes	characteristic, complemented
729	#3121	C₂×C₁₃	1	1	yes	characteristic, complemented
730	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
731	#3046	C₂×C₁₃	1	1	yes	characteristic, complemented
732	#3044	C₂×C₁₃	1	1	yes	characteristic, complemented
733	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
734	#2992	C₂×C₁₃	1	1	yes	characteristic, complemented
735	C₂³×C₁₃	—	2	1	no	—
736	C₂³×C₁₃	—	2	1	no	—
737	C₂³×C₁₃	—	2	1	no	—
738	C₂³×C₁₃	—	2	1	no	—
739	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
740	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
741	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
742	Q₈×C₁₃	—	2	1	no	—
743	Q₈×C₁₃	—	2	1	no	—
744	Q₈×C₁₃	—	2	1	no	—
745	Q₈×C₁₃	—	2	1	no	—
746	Q₈×C₁₃	—	2	1	no	—
747	Q₈×C₁₃	—	2	1	no	—
748	Q₈×C₁₃	—	2	1	no	—
749	Q₈×C₁₃	—	2	1	no	—
750	Q₈×C₁₃	—	2	1	no	—
751	Q₈×C₁₃	—	2	1	no	—
752	Q₈×C₁₃	—	2	1	no	—
753	Q₈×C₁₃	—	4	1	no	—
754	Q₈×C₁₃	—	4	2	no	—
755	Q₈×C₁₃	—	8	1	no	—
756	Q₈×C₁₃	—	8	1	no	—
757	Q₈×C₁₃	—	8	1	no	—
758	Q₈×C₁₃	—	8	1	no	—
759	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
760	D₄×C₁₃	—	2	1	no	—
761	D₄×C₁₃	—	2	1	no	—
762	D₄×C₁₃	—	2	1	no	—
763	D₄×C₁₃	—	2	1	no	—
764	D₄×C₁₃	—	2	1	no	—
765	D₄×C₁₃	—	2	1	no	—
766	D₄×C₁₃	—	2	1	no	—
767	D₄×C₁₃	—	2	1	no	—
768	D₄×C₁₃	—	4	1	no	—
769	D₄×C₁₃	—	4	1	no	—
770	D₄×C₁₃	—	4	1	no	—
771	D₄×C₁₃	—	4	2	no	—
772	D₄×C₁₃	—	4	2	no	—
773	D₄×C₁₃	—	4	2	no	—
774	D₄×C₁₃	—	8	1	no	—
775	D₄×C₁₃	—	8	1	no	—
776	D₄×C₁₃	—	8	1	no	—
777	D₄×C₁₃	—	8	1	no	—
778	D₄×C₁₃	—	8	1	no	—
779	D₄×C₁₃	—	8	1	no	—
780	D₄×C₁₃	—	8	1	no	—
781	D₄×C₁₃	—	8	1	no	—
782	D₄×C₁₃	—	8	1	no	—
783	D₄×C₁₃	—	8	1	no	—
784	D₄×C₁₃	—	8	1	no	—
785	D₄×C₁₃	—	8	1	no	—
786	D₄×C₁₃	—	8	1	no	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	2	1	no	—
789	C₂×C₄×C₁₃	—	2	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	2	1	no	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	2	1	no	—
797	C₂×C₄×C₁₃	—	2	1	no	—
798	C₂×C₄×C₁₃	—	2	1	no	—
799	C₂×C₄×C₁₃	—	2	1	no	—
800	C₂×C₄×C₁₃	—	2	1	no	—
801	C₂×C₄×C₁₃	—	2	1	no	—
802	C₂×C₄×C₁₃	—	2	1	no	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	2	1	no	—
805	C₂×C₄×C₁₃	—	4	1	no	—
806	C₂×C₄×C₁₃	—	4	1	no	—
807	C₂×C₄×C₁₃	—	4	2	no	—
808	C₂×C₄×C₁₃	—	4	2	no	—
809	C₂×C₄×C₁₃	—	4	2	no	—
810	C₂×C₄×C₁₃	—	8	1	no	—
811	C₂×C₄×C₁₃	—	8	1	no	—
812	C₂×C₄×C₁₃	—	8	1	no	—
813	C₂×C₄×C₁₃	—	8	1	no	—
814	C₂×C₄×C₁₃	—	8	1	no	—
815	C₂×C₄×C₁₃	—	8	1	no	—
816	C₂×C₄×C₁₃	—	8	1	no	—
817	C₂×C₄×C₁₃	—	8	1	no	—
818	C₂×C₄×C₁₃	—	8	1	no	—
819	C₂×C₄×C₁₃	—	8	1	no	—
820	C₂×C₄×C₁₃	—	8	1	no	—
821	C₂×C₄×C₁₃	—	8	1	no	—
822	C₂×C₄×C₁₃	—	8	1	no	—
823	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
830	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
831	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
833	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
835	C₈×C₁₃	—	2	1	no	—
836	C₈×C₁₃	—	2	1	no	—
837	C₈×C₁₃	—	2	1	no	—
838	C₈×C₁₃	—	2	1	no	—
839	C₈×C₁₃	—	2	1	no	—
840	C₈×C₁₃	—	2	1	no	—
841	C₈×C₁₃	—	2	1	no	—
842	C₈×C₁₃	—	2	1	no	—
843	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
844	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
845	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
846	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
847	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
848	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
849	#562	—	2	1	no	—
850	#562	—	2	1	no	—
851	#559	—	2	1	no	—
852	#559	—	2	1	no	—
853	#559	C₂²×C₁₃	1	1	yes	characteristic
854	#559	C₂²×C₁₃	1	1	yes	characteristic
855	#557	C₂²×C₁₃	1	1	yes	characteristic
856	#557	C₂²×C₁₃	1	1	yes	characteristic
857	#555	—	2	1	no	—
858	#555	C₂²×C₁₃	1	1	yes	characteristic
859	#554	—	2	1	no	—
860	#553	—	2	1	no	—
861	#553	C₂²×C₁₃	1	1	yes	characteristic
862	#552	—	2	1	no	—
863	#552	C₂²×C₁₃	1	1	yes	characteristic
864	#550	C₂²×C₁₃	1	1	yes	characteristic
865	#550	C₂²×C₁₃	1	1	yes	characteristic
866	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
867	#548	C₂²×C₁₃	1	1	yes	characteristic
868	#548	C₂²×C₁₃	1	1	yes	characteristic
869	#548	C₂²×C₁₃	1	1	yes	characteristic
870	#548	C₂²×C₁₃	1	1	yes	characteristic
871	#547	C₂²×C₁₃	1	1	yes	characteristic
872	#547	C₂²×C₁₃	1	1	yes	characteristic
873	#542	—	2	1	no	—
874	#542	—	2	1	no	—
875	#542	C₂²×C₁₃	1	1	yes	characteristic
876	#542	C₂²×C₁₃	1	1	yes	characteristic
877	#542	C₂²×C₁₃	1	1	yes	characteristic
878	#540	—	2	1	no	—
879	#540	—	2	1	no	—
880	#540	C₂²×C₁₃	1	1	yes	characteristic
881	#539	—	2	1	no	—
882	#539	—	2	1	no	—
883	#536	C₂²×C₁₃	1	1	yes	characteristic
884	#536	C₂²×C₁₃	1	1	yes	characteristic
885	#533	C₂²×C₁₃	1	1	yes	characteristic
886	#532	C₂²×C₁₃	1	1	yes	characteristic
887	#529	—	2	1	no	—
888	#529	—	2	1	no	—
889	#529	C₂²×C₁₃	1	1	yes	characteristic
890	#529	C₂²×C₁₃	1	1	yes	characteristic
891	#520	C₂²×C₁₃	1	1	yes	characteristic
892	#519	C₂²×C₁₃	1	1	yes	characteristic
893	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
894	#497	C₂²×C₁₃	1	1	yes	characteristic
895	#497	C₂²×C₁₃	1	1	yes	characteristic
896	#496	C₂²×C₁₃	1	1	yes	characteristic
897	#496	C₂²×C₁₃	1	1	yes	characteristic
898	#495	C₂²×C₁₃	1	1	yes	characteristic
899	#492	C₂²×C₁₃	1	1	yes	characteristic
900	#491	C₂²×C₁₃	1	1	yes	characteristic
901	#491	C₂²×C₁₃	1	1	yes	characteristic
902	#490	C₂²×C₁₃	1	1	yes	characteristic
903	#489	C₂²×C₁₃	1	1	yes	characteristic
904	#488	C₂²×C₁₃	1	1	yes	characteristic
905	#487	C₂²×C₁₃	1	1	yes	characteristic
906	#485	C₂²×C₁₃	1	1	yes	characteristic
907	#485	C₂²×C₁₃	1	1	yes	characteristic
908	#485	C₂²×C₁₃	1	1	yes	characteristic
909	#484	C₂²×C₁₃	1	1	yes	characteristic
910	#482	C₂²×C₁₃	1	1	yes	characteristic
911	#480	C₂²×C₁₃	1	1	yes	characteristic
912	#479	C₂²×C₁₃	1	1	yes	characteristic
913	#479	C₂²×C₁₃	1	1	yes	characteristic
914	#479	C₂²×C₁₃	1	1	yes	characteristic
915	#478	C₂²×C₁₃	1	1	yes	characteristic
916	#477	C₂²×C₁₃	1	1	yes	characteristic
917	#476	C₂²×C₁₃	1	1	yes	characteristic
918	#476	C₂²×C₁₃	1	1	yes	characteristic
919	#475	C₂²×C₁₃	1	1	yes	characteristic
920	#475	C₂²×C₁₃	1	1	yes	characteristic
921	#474	C₂²×C₁₃	1	1	yes	characteristic
922	#470	C₂²×C₁₃	1	1	yes	characteristic
923	#469	C₂²×C₁₃	1	1	yes	characteristic
924	#469	C₂²×C₁₃	1	1	yes	characteristic
925	#468	C₂²×C₁₃	1	1	yes	characteristic
926	#467	C₂²×C₁₃	1	1	yes	characteristic
927	#467	C₂²×C₁₃	1	1	yes	characteristic
928	#466	C₂²×C₁₃	1	1	yes	characteristic
929	#465	C₂²×C₁₃	1	1	yes	characteristic
930	#465	C₂²×C₁₃	1	1	yes	characteristic
931	#465	C₂²×C₁₃	1	1	yes	characteristic
932	#465	C₂²×C₁₃	1	1	yes	characteristic
933	#465	C₂²×C₁₃	1	1	yes	characteristic
934	#464	C₂²×C₁₃	1	1	yes	characteristic
935	#464	C₂²×C₁₃	1	1	yes	characteristic
936	#464	C₂²×C₁₃	1	1	yes	characteristic
937	#464	C₂²×C₁₃	1	1	yes	characteristic
938	#464	C₂²×C₁₃	1	1	yes	characteristic
939	#464	C₂²×C₁₃	1	1	yes	characteristic
940	#464	C₂²×C₁₃	1	1	yes	characteristic
941	#464	C₂²×C₁₃	1	1	yes	characteristic
942	#464	C₂²×C₁₃	1	1	yes	characteristic
943	#464	C₂²×C₁₃	1	1	yes	characteristic
944	#463	C₂²×C₁₃	1	1	yes	characteristic
945	#463	C₂²×C₁₃	1	1	yes	characteristic
946	#463	C₂²×C₁₃	1	1	yes	characteristic
947	#463	C₂²×C₁₃	1	1	yes	characteristic
948	#463	C₂²×C₁₃	1	1	yes	characteristic
949	#463	C₂²×C₁₃	1	1	yes	characteristic
950	#462	C₂²×C₁₃	1	1	yes	characteristic
951	#462	C₂²×C₁₃	1	1	yes	characteristic
952	#462	C₂²×C₁₃	1	1	yes	characteristic
953	#462	C₂²×C₁₃	1	1	yes	characteristic
954	#462	C₂²×C₁₃	1	1	yes	characteristic
955	#462	C₂²×C₁₃	1	1	yes	characteristic
956	#461	C₂²×C₁₃	1	1	yes	characteristic
957	#461	C₂²×C₁₃	1	1	yes	characteristic
958	#461	C₂²×C₁₃	1	1	yes	characteristic
959	#461	C₂²×C₁₃	1	1	yes	characteristic
960	#460	C₂²×C₁₃	1	1	yes	characteristic
961	#460	C₂²×C₁₃	1	1	yes	characteristic
962	#459	C₂²×C₁₃	1	1	yes	characteristic
963	#459	C₂²×C₁₃	1	1	yes	characteristic
964	#452	C₂²×C₁₃	1	1	yes	characteristic
965	#452	C₂²×C₁₃	1	1	yes	characteristic
966	#452	C₂²×C₁₃	1	1	yes	characteristic
967	#452	C₂²×C₁₃	1	1	yes	characteristic
968	#452	C₂²×C₁₃	1	1	yes	characteristic
969	#452	C₂²×C₁₃	1	1	yes	characteristic
970	#451	C₂²×C₁₃	1	1	yes	characteristic
971	#451	C₂²×C₁₃	1	1	yes	characteristic
972	#449	C₂²×C₁₃	1	1	yes	characteristic
973	#449	C₂²×C₁₃	1	1	yes	characteristic
974	#449	C₂²×C₁₃	1	1	yes	characteristic
975	#449	C₂²×C₁₃	1	1	yes	characteristic
976	#449	C₂²×C₁₃	1	1	yes	characteristic
977	#449	C₂²×C₁₃	1	1	yes	characteristic
978	#448	C₂²×C₁₃	1	1	yes	characteristic
979	#448	C₂²×C₁₃	1	1	yes	characteristic
980	#448	C₂²×C₁₃	1	1	yes	characteristic
981	#448	C₂²×C₁₃	1	1	yes	characteristic
982	#446	C₂²×C₁₃	1	1	yes	characteristic
983	#446	C₂²×C₁₃	1	1	yes	characteristic
984	#441	C₂²×C₁₃	1	1	yes	characteristic
985	#441	C₂²×C₁₃	1	1	yes	characteristic
986	#441	C₂²×C₁₃	1	1	yes	characteristic
987	#440	C₂²×C₁₃	1	1	yes	characteristic
988	#440	C₂²×C₁₃	1	1	yes	characteristic
989	#440	C₂²×C₁₃	1	1	yes	characteristic
990	#440	C₂²×C₁₃	1	1	yes	characteristic
991	#440	C₂²×C₁₃	1	1	yes	characteristic
992	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
993	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
994	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
995	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
996	#435	C₂²×C₁₃	1	1	yes	characteristic
997	#435	C₂²×C₁₃	1	1	yes	characteristic
998	#435	C₂²×C₁₃	1	1	yes	characteristic
999	#435	C₂²×C₁₃	1	1	yes	characteristic
1000	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
1001	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
1002	#433	C₂²×C₁₃	1	1	yes	characteristic
1003	#433	C₂²×C₁₃	1	1	yes	characteristic
1004	#432	C₂²×C₁₃	1	1	yes	characteristic
1005	#424	C₂²×C₁₃	1	1	yes	characteristic
1006	#424	C₂²×C₁₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
1008	#419	C₂²×C₁₃	1	1	yes	characteristic
1009	#417	C₂²×C₁₃	1	1	yes	characteristic
1010	#416	C₂²×C₁₃	1	1	yes	characteristic
1011	#416	C₂²×C₁₃	1	1	yes	characteristic
1012	#416	C₂²×C₁₃	1	1	yes	characteristic
1013	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
1014	C₂²×C₁₃	—	2	1	no	—
1015	C₂²×C₁₃	—	2	1	no	—
1016	C₂²×C₁₃	—	2	1	no	—
1017	C₂²×C₁₃	—	2	1	no	—
1018	C₂²×C₁₃	—	2	1	no	—
1019	C₂²×C₁₃	—	2	1	no	—
1020	C₂²×C₁₃	—	2	1	no	—
1021	C₂²×C₁₃	—	2	1	no	—
1022	C₂²×C₁₃	—	2	1	no	—
1023	C₂²×C₁₃	—	4	1	no	—
1024	C₂²×C₁₃	—	4	1	no	—
1025	C₂²×C₁₃	—	4	1	no	—
1026	C₂²×C₁₃	—	4	1	no	—
1027	C₂²×C₁₃	—	4	1	no	—
1028	C₂²×C₁₃	—	4	1	no	—
1029	C₂²×C₁₃	—	4	1	no	—
1030	C₂²×C₁₃	—	4	1	no	—
1031	C₂²×C₁₃	—	4	1	no	—
1032	C₂²×C₁₃	—	4	1	no	—
1033	C₂²×C₁₃	—	4	1	no	—
1034	C₂²×C₁₃	—	4	1	no	—
1035	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1036	C₄×C₁₃	—	2	1	no	—
1037	C₄×C₁₃	—	2	1	no	—
1038	C₄×C₁₃	—	2	1	no	—
1039	C₄×C₁₃	—	2	1	no	—
1040	C₄×C₁₃	—	2	1	no	—
1041	C₄×C₁₃	—	2	1	no	—
1042	C₄×C₁₃	—	2	1	no	—
1043	C₄×C₁₃	—	2	1	no	—
1044	C₄×C₁₃	—	2	1	no	—
1045	C₄×C₁₃	—	2	1	no	—
1046	C₄×C₁₃	—	2	1	no	—
1047	C₄×C₁₃	—	2	2	no	—
1048	C₄×C₁₃	—	4	1	no	—
1049	C₄×C₁₃	—	4	1	no	—
1050	C₄×C₁₃	—	4	1	no	—
1051	C₄×C₁₃	—	4	1	no	—
1052	C₄×C₁₃	—	4	1	no	—
1053	C₄×C₁₃	—	4	1	no	—
1054	C₄×C₁₃	—	4	1	no	—
1055	C₄×C₁₃	—	4	1	no	—
1056	C₄×C₁₃	—	4	1	no	—
1057	C₄×C₁₃	—	4	1	no	—
1058	C₄×C₁₃	—	4	1	no	—
1059	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1060	C₄×C₁₃	#585	1	1	yes	characteristic
1061	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1068	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1069	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1070	#137	—	4	2	no	—
1071	#137	—	4	2	no	—
1072	#135	—	4	2	no	—
1073	#135	—	4	2	no	—
1074	#135	—	4	2	no	—
1075	C₂×Q₁₆	—	4	2	no	—
1076	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1077	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1078	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1079	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1080	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1081	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1082	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1083	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1084	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1085	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1086	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1087	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1088	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1089	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1090	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1094	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1095	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1096	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1097	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1098	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1099	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1100	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1101	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1102	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1103	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1104	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1105	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1106	C₄⋊Q₈	—	2	1	no	—
1107	C₄⋊Q₈	—	2	1	no	—
1108	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1109	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1110	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1111	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1112	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1113	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1114	#127	—	2	1	no	—
1115	#127	—	2	1	no	—
1116	#127	C₂³×C₁₃	1	1	yes	characteristic
1117	#127	C₂³×C₁₃	1	1	yes	characteristic
1118	#126	—	2	1	no	—
1119	#126	—	2	1	no	—
1120	#126	—	2	1	no	—
1121	#126	—	2	1	no	—
1122	#126	—	2	1	no	—
1123	#126	—	2	1	no	—
1124	#126	D₄×C₁₃	1	1	yes	characteristic
1125	#126	D₄×C₁₃	1	1	yes	characteristic
1126	#125	—	2	1	no	—
1127	#125	—	2	1	no	—
1128	#125	—	2	1	no	—
1129	#125	—	2	1	no	—
1130	#125	—	2	1	no	—
1131	#125	—	2	1	no	—
1132	#125	—	2	1	no	—
1133	#125	D₄×C₁₃	1	1	yes	characteristic
1134	#125	C₂³×C₁₃	1	1	yes	characteristic
1135	#125	C₂³×C₁₃	1	1	yes	characteristic
1136	#124	—	2	1	no	—
1137	#124	—	2	1	no	—
1138	#124	—	2	1	no	—
1139	#124	—	2	1	no	—
1140	#124	—	2	1	no	—
1141	#124	—	2	1	no	—
1142	#124	—	2	1	no	—
1143	#124	—	2	1	no	—
1144	#124	—	2	1	no	—
1145	#124	—	2	1	no	—
1146	#124	—	2	1	no	—
1147	#124	D₄×C₁₃	1	1	yes	characteristic
1148	#124	C₂³×C₁₃	1	1	yes	characteristic
1149	#124	C₂³×C₁₃	1	1	yes	characteristic
1150	#124	C₂³×C₁₃	1	1	yes	characteristic
1151	#124	C₂³×C₁₃	1	1	yes	characteristic
1152	#124	C₂³×C₁₃	1	1	yes	characteristic
1153	#124	C₂³×C₁₃	1	1	yes	characteristic
1154	#123	—	2	1	no	—
1155	#123	—	2	1	no	—
1156	#123	—	2	1	no	—
1157	#123	—	2	1	no	—
1158	#123	—	2	1	no	—
1159	#123	—	2	1	no	—
1160	#123	—	2	1	no	—
1161	#123	—	2	1	no	—
1162	#123	—	2	1	no	—
1163	#123	—	2	1	no	—
1164	#123	—	2	1	no	—
1165	#123	—	2	1	no	—
1166	#123	—	2	1	no	—
1167	#123	—	2	1	no	—
1168	#123	—	2	1	no	—
1169	#123	—	2	1	no	—
1170	#123	—	2	1	no	—
1171	#123	—	2	1	no	—
1172	#123	—	2	1	no	—
1173	#123	—	2	1	no	—
1174	#123	D₄×C₁₃	1	1	yes	characteristic
1175	#123	D₄×C₁₃	1	1	yes	characteristic
1176	C₂²⋊Q₈	—	2	1	no	—
1177	C₂²⋊Q₈	—	2	1	no	—
1178	C₂²⋊Q₈	—	2	1	no	—
1179	C₂²⋊Q₈	—	2	1	no	—
1180	C₂²⋊Q₈	—	2	1	no	—
1181	C₂²⋊Q₈	—	2	1	no	—
1182	C₂²⋊Q₈	—	2	1	no	—
1183	C₂²⋊Q₈	—	2	1	no	—
1184	C₂²⋊Q₈	—	2	1	no	—
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	2	1	no	—
1188	C₂²⋊Q₈	—	2	1	no	—
1189	C₂²⋊Q₈	—	2	1	no	—
1190	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1191	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1192	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1193	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1194	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1195	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1196	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1197	#121	—	2	1	no	—
1198	#121	—	2	1	no	—
1199	#121	—	2	1	no	—
1200	#121	—	2	1	no	—
1201	#121	—	2	1	no	—
1202	#121	—	2	1	no	—
1203	#121	—	2	1	no	—
1204	#121	—	2	1	no	—
1205	#121	—	2	1	no	—
1206	#121	—	2	1	no	—
1207	#121	—	2	1	no	—
1208	#121	—	2	1	no	—
1209	#121	—	2	1	no	—
1210	#121	—	2	1	no	—
1211	#121	—	2	1	no	—
1212	#121	—	2	1	no	—
1213	#121	D₄×C₁₃	1	1	yes	characteristic
1214	#121	C₂³×C₁₃	1	1	yes	characteristic
1215	#121	C₂³×C₁₃	1	1	yes	characteristic
1216	#121	C₂³×C₁₃	1	1	yes	characteristic
1217	#121	C₂³×C₁₃	1	1	yes	characteristic
1218	#121	C₂³×C₁₃	1	1	yes	characteristic
1219	#121	C₂³×C₁₃	1	1	yes	characteristic
1220	C₄×Q₈	—	2	1	no	—
1221	C₄×Q₈	—	2	1	no	—
1222	C₄×Q₈	—	2	1	no	—
1223	C₄×Q₈	—	2	1	no	—
1224	C₄×Q₈	—	2	1	no	—
1225	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1226	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1227	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1228	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1229	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1230	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1231	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1232	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1233	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1234	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1235	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1236	C₄×D₄	—	2	1	no	—
1237	C₄×D₄	—	2	1	no	—
1238	C₄×D₄	—	2	1	no	—
1239	C₄×D₄	—	2	1	no	—
1240	C₄×D₄	—	2	1	no	—
1241	C₄×D₄	—	2	1	no	—
1242	C₄×D₄	—	2	1	no	—
1243	C₄×D₄	—	2	1	no	—
1244	C₄×D₄	—	2	1	no	—
1245	C₄×D₄	—	2	1	no	—
1246	C₄×D₄	—	2	1	no	—
1247	C₄×D₄	—	2	1	no	—
1248	C₄×D₄	—	2	1	no	—
1249	C₄×D₄	—	2	1	no	—
1250	C₄×D₄	—	2	1	no	—
1251	C₄×D₄	—	2	1	no	—
1252	C₄×D₄	—	2	1	no	—
1253	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1254	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1255	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1256	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1257	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1258	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1259	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1260	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1261	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1262	#117	—	2	1	no	—
1263	#117	—	2	1	no	—
1264	#117	—	2	1	no	—
1265	#117	—	2	1	no	—
1266	#117	—	2	1	no	—
1267	#117	—	2	1	no	—
1268	#117	—	2	1	no	—
1269	#117	—	2	1	no	—
1270	#117	C₂³×C₁₃	1	1	yes	characteristic
1271	#117	C₂³×C₁₃	1	1	yes	characteristic
1272	#117	C₂³×C₁₃	1	1	yes	characteristic
1273	#117	C₂³×C₁₃	1	1	yes	characteristic
1274	C₂×C₄⋊C₄	—	2	1	no	—
1275	C₂×C₄⋊C₄	—	2	1	no	—
1276	C₂×C₄⋊C₄	—	2	1	no	—
1277	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1278	C₂×C₄²	—	2	1	no	—
1279	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1280	#107	C₂³×C₁₃	1	1	yes	characteristic
1281	#107	C₂³×C₁₃	1	1	yes	characteristic
1282	#107	C₂³×C₁₃	1	1	yes	characteristic
1283	#107	C₂³×C₁₃	1	1	yes	characteristic
1284	#106	C₂³×C₁₃	1	1	yes	characteristic
1285	#106	C₂³×C₁₃	1	1	yes	characteristic
1286	#106	C₂³×C₁₃	1	1	yes	characteristic
1287	#106	C₂³×C₁₃	1	1	yes	characteristic
1288	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1289	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1290	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1291	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1292	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1293	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1294	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1295	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1296	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1297	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1298	#103	C₂³×C₁₃	1	1	yes	characteristic
1299	#103	C₂³×C₁₃	1	1	yes	characteristic
1300	#103	C₂³×C₁₃	1	1	yes	characteristic
1301	#103	C₂³×C₁₃	1	1	yes	characteristic
1302	#103	C₂³×C₁₃	1	1	yes	characteristic
1303	#103	C₂³×C₁₃	1	1	yes	characteristic
1304	#103	C₂³×C₁₃	1	1	yes	characteristic
1305	#103	C₂³×C₁₃	1	1	yes	characteristic
1306	#103	C₂³×C₁₃	1	1	yes	characteristic
1307	#103	C₂³×C₁₃	1	1	yes	characteristic
1308	#103	C₂³×C₁₃	1	1	yes	characteristic
1309	#103	C₂³×C₁₃	1	1	yes	characteristic
1310	#103	C₂³×C₁₃	1	1	yes	characteristic
1311	#103	C₂³×C₁₃	1	1	yes	characteristic
1312	#103	C₂³×C₁₃	1	1	yes	characteristic
1313	#103	C₂³×C₁₃	1	1	yes	characteristic
1314	#103	C₂³×C₁₃	1	1	yes	characteristic
1315	#103	C₂³×C₁₃	1	1	yes	characteristic
1316	#103	C₂³×C₁₃	1	1	yes	characteristic
1317	#103	C₂³×C₁₃	1	1	yes	characteristic
1318	#102	C₂³×C₁₃	1	1	yes	characteristic
1319	#102	C₂³×C₁₃	1	1	yes	characteristic
1320	#102	C₂³×C₁₃	1	1	yes	characteristic
1321	#102	C₂³×C₁₃	1	1	yes	characteristic
1322	#102	C₂³×C₁₃	1	1	yes	characteristic
1323	#102	C₂³×C₁₃	1	1	yes	characteristic
1324	#102	C₂³×C₁₃	1	1	yes	characteristic
1325	#102	C₂³×C₁₃	1	1	yes	characteristic
1326	#102	C₂³×C₁₃	1	1	yes	characteristic
1327	#102	C₂³×C₁₃	1	1	yes	characteristic
1328	#102	C₂³×C₁₃	1	1	yes	characteristic
1329	#102	C₂³×C₁₃	1	1	yes	characteristic
1330	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1331	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1332	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1333	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1334	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1335	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1336	#97	C₂³×C₁₃	1	1	yes	characteristic
1337	#97	C₂³×C₁₃	1	1	yes	characteristic
1338	#97	C₂³×C₁₃	1	1	yes	characteristic
1339	#97	C₂³×C₁₃	1	1	yes	characteristic
1340	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1341	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1342	C₂×C₁₃	—	4	1	no	—
1343	C₂×C₁₃	—	4	1	no	—
1344	C₂×C₁₃	—	4	1	no	—
1345	C₂×C₁₃	—	8	1	no	—
1346	C₂×C₁₃	—	8	1	no	—
1347	C₂×C₁₃	—	8	1	no	—
1348	C₂×C₁₃	—	8	1	no	—
1349	C₂×C₁₃	#3488	1	1	yes	characteristic
1350	C₂×C₁₃	#3584	1	1	yes	characteristic
1351	C₂×C₁₃	#3586	1	1	yes	characteristic
1352	#41	—	2	2	no	—
1353	#41	—	2	2	no	—
1354	#41	—	4	1	no	—
1355	#41	—	4	1	no	—
1356	#41	—	4	1	no	—
1357	#41	—	4	1	no	—
1358	#41	—	4	1	no	—
1359	#41	—	4	1	no	—
1360	#41	—	4	1	no	—
1361	#41	—	4	1	no	—
1362	#41	—	4	1	no	—
1363	#41	—	4	1	no	—
1364	C₂×Q₈	—	2	1	no	—
1365	C₂×Q₈	—	2	1	no	—
1366	C₂×Q₈	—	2	1	no	—
1367	C₂×Q₈	—	2	1	no	—
1368	C₂×Q₈	—	2	1	no	—
1369	C₂×Q₈	—	2	2	no	—
1370	C₂×Q₈	—	4	1	no	—
1371	C₂×Q₈	—	4	1	no	—
1372	C₂×Q₈	—	4	1	no	—
1373	C₂×Q₈	—	4	1	no	—
1374	C₂×Q₈	—	4	1	no	—
1375	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1376	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1377	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1378	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1379	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1380	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1381	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	2	1	no	—
1397	C₂×D₄	—	2	1	no	—
1398	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1399	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1400	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1401	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1402	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1403	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1404	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	2	1	no	—
1412	C₂²×C₄	—	2	1	no	—
1413	C₂²×C₄	—	2	1	no	—
1414	C₂²×C₄	—	2	1	no	—
1415	C₂²×C₄	—	2	1	no	—
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1422	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1423	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1424	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1425	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1426	Q₁₆	—	2	2	no	—
1427	Q₁₆	—	2	2	no	—
1428	Q₁₆	—	2	2	no	—
1429	Q₁₆	—	2	2	no	—
1430	Q₁₆	—	4	1	no	—
1431	Q₁₆	—	4	1	no	—
1432	Q₁₆	—	4	1	no	—
1433	Q₁₆	—	4	1	no	—
1434	SD₁₆	—	2	2	no	—
1435	SD₁₆	—	2	2	no	—
1436	SD₁₆	—	4	1	no	—
1437	SD₁₆	—	4	1	no	—
1438	SD₁₆	—	4	1	no	—
1439	SD₁₆	—	4	1	no	—
1440	SD₁₆	—	4	1	no	—
1441	SD₁₆	—	4	1	no	—
1442	SD₁₆	—	4	1	no	—
1443	SD₁₆	—	4	1	no	—
1444	SD₁₆	—	4	1	no	—
1445	SD₁₆	—	4	1	no	—
1446	D₈	—	4	1	no	—
1447	D₈	—	4	1	no	—
1448	D₈	—	4	1	no	—
1449	D₈	—	4	1	no	—
1450	M₁₆	—	4	1	no	—
1451	M₁₆	—	4	1	no	—
1452	C₂×C₈	—	4	1	no	—
1453	C₂×C₈	—	4	1	no	—
1454	C₂×C₈	—	4	1	no	—
1455	C₂×C₈	—	4	1	no	—
1456	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1457	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1458	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1459	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1460	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1461	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1462	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1463	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1496	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1497	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1498	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1499	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1500	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1501	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1502	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1503	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1504	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1505	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1506	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1507	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1508	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1509	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1510	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1545	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1546	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1547	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1548	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1549	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1550	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1551	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1552	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1553	C₄²	—	2	1	no	—
1554	C₄²	—	2	1	no	—
1555	C₄²	—	2	1	no	—
1556	C₄²	—	2	1	no	—
1557	C₄²	—	2	1	no	—
1558	C₄²	—	2	1	no	—
1559	C₄²	—	2	1	no	—
1560	C₄²	—	2	1	no	—
1561	C₄²	—	2	1	no	—
1562	C₄²	—	2	1	no	—
1563	C₄²	—	2	1	no	—
1564	C₄²	—	2	1	no	—
1565	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1566	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1567	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1568	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1569	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1570	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1571	C₁₃	#62025	1	1	yes	characteristic, direct product factor, Sylow
1572	C₂³	—	2	1	no	—
1573	C₂³	—	2	1	no	—
1574	C₂³	—	2	1	no	—
1575	C₂³	—	2	1	no	—
1576	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1577	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1578	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1579	Q₈	—	2	1	no	—
1580	Q₈	—	2	1	no	—
1581	Q₈	—	2	1	no	—
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	2	1	no	—
1585	Q₈	—	2	1	no	—
1586	Q₈	—	2	1	no	—
1587	Q₈	—	2	1	no	—
1588	Q₈	—	2	1	no	—
1589	Q₈	—	2	1	no	—
1590	Q₈	—	4	1	no	—
1591	Q₈	—	4	2	no	—
1592	Q₈	—	8	1	no	—
1593	Q₈	—	8	1	no	—
1594	Q₈	—	8	1	no	—
1595	Q₈	—	8	1	no	—
1596	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1597	D₄	—	2	1	no	—
1598	D₄	—	2	1	no	—
1599	D₄	—	2	1	no	—
1600	D₄	—	2	1	no	—
1601	D₄	—	2	1	no	—
1602	D₄	—	2	1	no	—
1603	D₄	—	2	1	no	—
1604	D₄	—	2	1	no	—
1605	D₄	—	4	1	no	—
1606	D₄	—	4	1	no	—
1607	D₄	—	4	1	no	—
1608	D₄	—	4	2	no	—
1609	D₄	—	4	2	no	—
1610	D₄	—	4	2	no	—
1611	D₄	—	8	1	no	—
1612	D₄	—	8	1	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	—	8	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	8	1	no	—
1619	D₄	—	8	1	no	—
1620	D₄	—	8	1	no	—
1621	D₄	—	8	1	no	—
1622	D₄	—	8	1	no	—
1623	D₄	—	8	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	4	1	no	—
1643	C₂×C₄	—	4	1	no	—
1644	C₂×C₄	—	4	2	no	—
1645	C₂×C₄	—	4	2	no	—
1646	C₂×C₄	—	4	2	no	—
1647	C₂×C₄	—	8	1	no	—
1648	C₂×C₄	—	8	1	no	—
1649	C₂×C₄	—	8	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	8	1	no	—
1660	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1661	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1662	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1663	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1664	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1665	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1666	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1667	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1668	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1669	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1670	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1671	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1672	C₈	—	2	1	no	—
1673	C₈	—	2	1	no	—
1674	C₈	—	2	1	no	—
1675	C₈	—	2	1	no	—
1676	C₈	—	2	1	no	—
1677	C₈	—	2	1	no	—
1678	C₈	—	2	1	no	—
1679	C₈	—	2	1	no	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	1	no	—
1688	C₂²	—	2	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1702	C₄	—	2	1	no	—
1703	C₄	—	2	1	no	—
1704	C₄	—	2	1	no	—
1705	C₄	—	2	1	no	—
1706	C₄	—	2	1	no	—
1707	C₄	—	2	1	no	—
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	1	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	2	2	no	—
1714	C₄	—	4	1	no	—
1715	C₄	—	4	1	no	—
1716	C₄	—	4	1	no	—
1717	C₄	—	4	1	no	—
1718	C₄	—	4	1	no	—
1719	C₄	—	4	1	no	—
1720	C₄	—	4	1	no	—
1721	C₄	—	4	1	no	—
1722	C₄	—	4	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1726	C₄	C₁₃×#585	1	1	yes	characteristic
1727	C₂	—	4	1	no	—
1728	C₂	—	4	1	no	—
1729	C₂	—	4	1	no	—
1730	C₂	—	8	1	no	—
1731	C₂	—	8	1	no	—
1732	C₂	—	8	1	no	—
1733	C₂	—	8	1	no	—
1734	C₂	C₁₃×#3488	1	1	yes	characteristic
1735	C₂	C₁₃×#3584	1	1	yes	characteristic
1736	C₂	C₁₃×#3586	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3554	C₂	semidirect
2. C₁₃×#3524	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3400	C₂	semidirect
5. C₁₃×#3374	C₂	semidirect
6. C₁₃×#3371	C₂	semidirect
7. C₁₃×#3321	C₂	semidirect
8. C₁₃×#3320	C₂	semidirect
9. C₁₃×#3315	C₂	semidirect
10. C₁₃×#3309	C₂	semidirect
11. C₁₃×#3303	C₂	semidirect
12. C₁₃×#3300	C₂	semidirect
13. C₁₃×#3285	C₂	semidirect
14. C₁₃×#3284	C₂	semidirect
15. C₁₃×#3271	C₂	semidirect
16. C₁₃×#3271	C₂	semidirect
17. C₁₃×#3270	C₂	semidirect
18. C₁₃×#3269	C₂	semidirect
19. C₁₃×#3263	C₂	semidirect
20. C₁₃×#3257	C₂	semidirect
21. C₁₃×#3248	C₂	semidirect
22. C₁₃×#3225	C₂	semidirect
23. C₁₃×#3221	C₂	semidirect
24. C₁₃×#3219	C₂	semidirect
25. C₁₃×#3124	C₂	semidirect
26. C₁₃×#3121	C₂	semidirect
27. C₁₃×#3116	C₂	semidirect
28. C₁₃×#3046	C₂	semidirect
29. C₁₃×#3044	C₂	semidirect
30. C₁₃×#3035	C₂	semidirect
31. C₁₃×#2992	C₂	semidirect
484. #62025	C₁₃	direct (N × H)
704. #3554	C₂×C₁₃	semidirect
705. #3524	C₂×C₁₃	semidirect
706. #3403	C₂×C₁₃	semidirect
707. #3400	C₂×C₁₃	semidirect
708. #3374	C₂×C₁₃	semidirect
709. #3371	C₂×C₁₃	semidirect
710. #3321	C₂×C₁₃	semidirect
711. #3320	C₂×C₁₃	semidirect
712. #3315	C₂×C₁₃	semidirect
713. #3309	C₂×C₁₃	semidirect
714. #3303	C₂×C₁₃	semidirect
715. #3300	C₂×C₁₃	semidirect
716. #3285	C₂×C₁₃	semidirect
717. #3284	C₂×C₁₃	semidirect
718. #3271	C₂×C₁₃	semidirect
719. #3271	C₂×C₁₃	semidirect
720. #3270	C₂×C₁₃	semidirect
721. #3269	C₂×C₁₃	semidirect
722. #3263	C₂×C₁₃	semidirect
723. #3257	C₂×C₁₃	semidirect
724. #3248	C₂×C₁₃	semidirect
725. #3225	C₂×C₁₃	semidirect
726. #3221	C₂×C₁₃	semidirect
727. #3219	C₂×C₁₃	semidirect
728. #3124	C₂×C₁₃	semidirect
729. #3121	C₂×C₁₃	semidirect
730. #3116	C₂×C₁₃	semidirect
731. #3046	C₂×C₁₃	semidirect
732. #3044	C₂×C₁₃	semidirect
733. #3035	C₂×C₁₃	semidirect
734. #2992	C₂×C₁₃	semidirect
1571. C₁₃	#62025	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₃×#3554	2
C₁₃×#3524	2
C₁₃×#3403	2
C₁₃×#3400	2
C₁₃×#3374	2
C₁₃×#3371	2
C₁₃×#3321	2
C₁₃×#3320	2
C₁₃×#3315	2
C₁₃×#3309	2
C₁₃×#3303	2
C₁₃×#3300	2
C₁₃×#3285	2
C₁₃×#3284	2
C₁₃×#3271	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3263	2
C₁₃×#3257	2
C₁₃×#3248	2
C₁₃×#3225	2
C₁₃×#3221	2
C₁₃×#3219	2
C₁₃×#3124	2
C₁₃×#3121	2
C₁₃×#3116	2
C₁₃×#3046	2
C₁₃×#3044	2
C₁₃×#3035	2
C₁₃×#2992	2
#62025	13

Subgroups — C13×#62025 #15748364

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62025 #15748364