Subgroups — C₁₃×#62010 #15748349

Order 3328.

1768 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3402	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3398	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3316	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3301	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3285	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3270	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×#3261	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3250	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3225	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3223	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3127	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3117	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	C₂×C₁₃×#462	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	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
36	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
37	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
38	C₁₃×#563	—	2	1	no	—
39	C₁₃×#563	—	2	1	no	—
40	C₁₃×#557	C₂²	1	1	yes	characteristic
41	C₁₃×#557	C₂²	1	1	yes	characteristic
42	C₁₃×#556	—	2	1	no	—
43	C₁₃×#556	C₂²	1	1	yes	characteristic
44	C₁₃×#556	C₂²	1	1	yes	characteristic
45	C₁₃×#554	—	2	1	no	—
46	C₁₃×#554	—	2	1	no	—
47	C₁₃×#554	C₂²	1	1	yes	characteristic
48	C₁₃×#553	—	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	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
56	D₄×Q₈×C₁₃	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×#548	C₂²	1	1	yes	characteristic
61	C₁₃×#547	C₂²	1	1	yes	characteristic
62	C₁₃×#544	—	2	1	no	—
63	C₁₃×#542	—	2	1	no	—
64	C₁₃×#542	—	2	1	no	—
65	C₁₃×#542	C₂²	1	1	yes	characteristic
66	C₁₃×#541	—	2	1	no	—
67	C₁₃×#541	C₂²	1	1	yes	characteristic
68	C₁₃×#541	C₂²	1	1	yes	characteristic
69	C₁₃×#541	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	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
75	C₁₃×#529	—	2	1	no	—
76	C₁₃×#529	—	2	1	no	—
77	C₁₃×#529	C₂²	1	1	yes	characteristic
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	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
83	C₁₃×#497	C₂²	1	1	yes	characteristic
84	C₁₃×#497	C₂²	1	1	yes	characteristic
85	C₁₃×#497	C₂²	1	1	yes	characteristic
86	C₁₃×#497	C₂²	1	1	yes	characteristic
87	C₁₃×#495	C₂²	1	1	yes	characteristic
88	C₁₃×#494	C₂²	1	1	yes	characteristic
89	C₁₃×#491	C₂²	1	1	yes	characteristic
90	C₁₃×#491	C₂²	1	1	yes	characteristic
91	C₁₃×#491	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×#484	C₂²	1	1	yes	characteristic
98	C₁₃×#484	C₂²	1	1	yes	characteristic
99	C₁₃×#483	C₂²	1	1	yes	characteristic
100	C₁₃×#481	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×#479	C₂²	1	1	yes	characteristic
105	C₁₃×#479	C₂²	1	1	yes	characteristic
106	C₁₃×#479	C₂²	1	1	yes	characteristic
107	C₁₃×#478	C₂²	1	1	yes	characteristic
108	C₁₃×#478	C₂²	1	1	yes	characteristic
109	C₁₃×#477	C₂²	1	1	yes	characteristic
110	C₁₃×#475	C₂²	1	1	yes	characteristic
111	C₁₃×#470	C₂²	1	1	yes	characteristic
112	C₁₃×#470	C₂²	1	1	yes	characteristic
113	C₁₃×#470	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×#467	C₂²	1	1	yes	characteristic
118	C₁₃×#467	C₂²	1	1	yes	characteristic
119	C₁₃×#466	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×#463	C₂²	1	1	yes	characteristic
133	C₁₃×#463	C₂²	1	1	yes	characteristic
134	C₁₃×#463	C₂²	1	1	yes	characteristic
135	C₁₃×#462	C₂²	1	1	yes	characteristic
136	C₁₃×#462	C₂²	1	1	yes	characteristic
137	C₁₃×#462	C₂²	1	1	yes	characteristic
138	C₁₃×#462	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×#462	C₂²	1	1	yes	characteristic
146	C₁₃×#462	C₂²	1	1	yes	characteristic
147	C₁₃×#462	C₂²	1	1	yes	characteristic
148	C₁₃×#462	C₂²	1	1	yes	characteristic
149	C₁₃×#462	C₂²	1	1	yes	characteristic
150	C₁₃×#461	C₂²	1	1	yes	characteristic
151	C₁₃×#461	C₂²	1	1	yes	characteristic
152	C₁₃×#461	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×#451	C₂²	1	1	yes	characteristic
159	C₁₃×#451	C₂²	1	1	yes	characteristic
160	C₁₃×#451	C₂²	1	1	yes	characteristic
161	C₁₃×#451	C₂²	1	1	yes	characteristic
162	C₁₃×#451	C₂²	1	1	yes	characteristic
163	C₁₃×#451	C₂²	1	1	yes	characteristic
164	C₁₃×#451	C₂²	1	1	yes	characteristic
165	C₁₃×#451	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×#441	C₂²	1	1	yes	characteristic
177	C₁₃×#441	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×Q₁₆	C₂²	1	1	yes	characteristic
184	C₄×C₁₃×SD₁₆	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	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
201	C₂×C₁₃×#103	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	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₁₃	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	C₂×C₁₃×Q₁₆	—	4	2	no	—
216	C₂×C₁₃×Q₁₆	—	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×Q₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×Q₁₆	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×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×SD₁₆	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	—	2	1	no	—
251	C₁₃×C₄⋊Q₈	—	2	1	no	—
252	C₁₃×C₄⋊Q₈	—	2	1	no	—
253	C₁₃×C₄⋊Q₈	—	2	1	no	—
254	C₁₃×C₄⋊Q₈	—	2	1	no	—
255	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
257	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
258	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
259	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
260	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
261	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
262	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
263	C₁₃×#126	—	2	1	no	—
264	C₁₃×#126	—	2	1	no	—
265	C₁₃×#126	—	2	1	no	—
266	C₁₃×#126	—	2	1	no	—
267	C₁₃×#126	—	2	1	no	—
268	C₁₃×#126	—	2	1	no	—
269	C₁₃×#126	—	2	1	no	—
270	C₁₃×#126	—	2	1	no	—
271	C₁₃×#126	—	2	1	no	—
272	C₁₃×#126	—	2	1	no	—
273	C₁₃×#126	—	2	1	no	—
274	C₁₃×#126	—	2	1	no	—
275	C₁₃×#126	—	2	1	no	—
276	C₁₃×#126	—	2	1	no	—
277	C₁₃×#126	—	2	1	no	—
278	C₁₃×#126	D₄	1	1	yes	characteristic
279	C₁₃×#126	D₄	1	1	yes	characteristic
280	C₁₃×#125	—	2	1	no	—
281	C₁₃×#125	—	2	1	no	—
282	C₁₃×#125	—	2	1	no	—
283	C₁₃×#125	—	2	1	no	—
284	C₁₃×#125	—	2	1	no	—
285	C₁₃×#125	—	2	1	no	—
286	C₁₃×#125	—	2	1	no	—
287	C₁₃×#125	—	2	1	no	—
288	C₁₃×#125	—	2	1	no	—
289	C₁₃×#125	—	2	1	no	—
290	C₁₃×#125	—	2	1	no	—
291	C₁₃×#125	—	2	1	no	—
292	C₁₃×#125	—	2	1	no	—
293	C₁₃×#125	D₄	1	1	yes	characteristic
294	C₁₃×#125	C₂³	1	1	yes	characteristic
295	C₁₃×#125	C₂³	1	1	yes	characteristic
296	C₁₃×#125	C₂³	1	1	yes	characteristic
297	C₁₃×#124	—	2	1	no	—
298	C₁₃×#124	—	2	1	no	—
299	C₁₃×#124	—	2	1	no	—
300	C₁₃×#124	—	2	1	no	—
301	C₁₃×#124	—	2	1	no	—
302	C₁₃×#124	D₄	1	1	yes	characteristic
303	C₁₃×#124	C₂³	1	1	yes	characteristic
304	C₁₃×#124	C₂³	1	1	yes	characteristic
305	C₁₃×#124	C₂³	1	1	yes	characteristic
306	C₁₃×#124	C₂³	1	1	yes	characteristic
307	C₁₃×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
317	C₁₃×#123	—	2	1	no	—
318	C₁₃×#123	—	2	1	no	—
319	C₁₃×#123	D₄	1	1	yes	characteristic
320	C₁₃×#123	D₄	1	1	yes	characteristic
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	—	2	1	no	—
333	C₁₃×C₂²⋊Q₈	—	2	1	no	—
334	C₁₃×C₂²⋊Q₈	—	2	1	no	—
335	C₁₃×C₂²⋊Q₈	—	2	1	no	—
336	C₁₃×C₂²⋊Q₈	—	2	1	no	—
337	C₁₃×C₂²⋊Q₈	—	2	1	no	—
338	C₁₃×C₂²⋊Q₈	—	2	1	no	—
339	C₁₃×C₂²⋊Q₈	—	2	1	no	—
340	C₁₃×C₂²⋊Q₈	—	2	1	no	—
341	C₁₃×C₂²⋊Q₈	—	2	1	no	—
342	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
343	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
344	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
345	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
346	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
347	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
348	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
349	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
350	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
351	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
352	C₁₃×#121	—	2	1	no	—
353	C₁₃×#121	—	2	1	no	—
354	C₁₃×#121	—	2	1	no	—
355	C₁₃×#121	—	2	1	no	—
356	C₁₃×#121	—	2	1	no	—
357	C₁₃×#121	—	2	1	no	—
358	C₁₃×#121	D₄	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	—	2	1	no	—
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×Q₈×C₁₃	C₂³	1	1	yes	characteristic
379	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
380	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
381	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
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	C₁₃×#117	—	2	1	no	—
403	C₁₃×#117	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
411	C₁₃×#117	C₂³	1	1	yes	characteristic
412	C₁₃×#117	C₂³	1	1	yes	characteristic
413	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
414	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
415	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
417	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×#103	C₂³	1	1	yes	characteristic
461	C₁₃×#103	C₂³	1	1	yes	characteristic
462	C₁₃×#103	C₂³	1	1	yes	characteristic
463	C₁₃×#103	C₂³	1	1	yes	characteristic
464	C₁₃×#103	C₂³	1	1	yes	characteristic
465	C₁₃×#103	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	#62010	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
485	C₁₃×#41	—	2	2	no	—
486	C₁₃×#41	—	4	1	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	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	—	2	1	no	—
493	C₂×Q₈×C₁₃	—	2	1	no	—
494	C₂×Q₈×C₁₃	—	2	1	no	—
495	C₂×Q₈×C₁₃	—	2	1	no	—
496	C₂×Q₈×C₁₃	—	2	1	no	—
497	C₂×Q₈×C₁₃	—	2	1	no	—
498	C₂×Q₈×C₁₃	—	2	2	no	—
499	C₂×Q₈×C₁₃	—	2	2	no	—
500	C₂×Q₈×C₁₃	—	4	1	no	—
501	C₂×Q₈×C₁₃	—	4	1	no	—
502	C₂×Q₈×C₁₃	—	4	1	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	—	4	1	no	—
509	C₂×Q₈×C₁₃	—	4	1	no	—
510	C₂×Q₈×C₁₃	C₂×D₄	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×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₁₃	—	2	1	no	—
531	C₂²×C₄×C₁₃	—	2	1	no	—
532	C₂²×C₄×C₁₃	—	2	1	no	—
533	C₂²×C₄×C₁₃	—	2	1	no	—
534	C₂²×C₄×C₁₃	—	2	1	no	—
535	C₂²×C₄×C₁₃	—	2	1	no	—
536	C₂²×C₄×C₁₃	—	2	1	no	—
537	C₂²×C₄×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
546	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
549	C₁₃×Q₁₆	—	2	2	no	—
550	C₁₃×Q₁₆	—	2	2	no	—
551	C₁₃×Q₁₆	—	2	2	no	—
552	C₁₃×Q₁₆	—	2	2	no	—
553	C₁₃×Q₁₆	—	2	2	no	—
554	C₁₃×Q₁₆	—	4	1	no	—
555	C₁₃×Q₁₆	—	4	1	no	—
556	C₁₃×Q₁₆	—	4	1	no	—
557	C₁₃×Q₁₆	—	4	1	no	—
558	C₁₃×Q₁₆	—	4	1	no	—
559	C₁₃×Q₁₆	—	4	1	no	—
560	C₁₃×Q₁₆	—	4	1	no	—
561	C₁₃×Q₁₆	—	4	1	no	—
562	C₁₃×Q₁₆	—	4	1	no	—
563	C₁₃×Q₁₆	—	4	1	no	—
564	C₁₃×SD₁₆	—	2	2	no	—
565	C₁₃×SD₁₆	—	4	1	no	—
566	C₁₃×SD₁₆	—	4	1	no	—
567	C₁₃×SD₁₆	—	4	1	no	—
568	C₁₃×SD₁₆	—	4	1	no	—
569	C₁₃×SD₁₆	—	4	1	no	—
570	C₁₃×SD₁₆	—	4	1	no	—
571	C₁₃×SD₁₆	—	4	1	no	—
572	C₁₃×D₈	—	4	1	no	—
573	C₁₃×M₁₆	—	4	1	no	—
574	C₁₃×M₁₆	—	4	1	no	—
575	C₂×C₈×C₁₃	—	4	1	no	—
576	C₂×C₈×C₁₃	—	4	1	no	—
577	C₂×C₈×C₁₃	—	4	1	no	—
578	C₂×C₈×C₁₃	—	4	1	no	—
579	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
581	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	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	—	2	1	no	—
629	C₁₃×C₄⋊C₄	—	2	1	no	—
630	C₁₃×C₄⋊C₄	—	2	1	no	—
631	C₁₃×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
639	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
675	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₁₃	—	2	1	no	—
685	C₄²×C₁₃	—	2	1	no	—
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	#3552	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3516	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3402	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3398	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3377	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3374	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#3320	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3316	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3315	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#3312	C₂×C₁₃	1	1	yes	characteristic, complemented
714	#3301	C₂×C₁₃	1	1	yes	characteristic, complemented
715	#3299	C₂×C₁₃	1	1	yes	characteristic, complemented
716	D₄×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
717	#3285	C₂×C₁₃	1	1	yes	characteristic, complemented
718	#3270	C₂×C₁₃	1	1	yes	characteristic, complemented
719	#3270	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	#3261	C₂×C₁₃	1	1	yes	characteristic, complemented
723	#3258	C₂×C₁₃	1	1	yes	characteristic, complemented
724	#3250	C₂×C₁₃	1	1	yes	characteristic, complemented
725	#3225	C₂×C₁₃	1	1	yes	characteristic, complemented
726	#3223	C₂×C₁₃	1	1	yes	characteristic, complemented
727	#3218	C₂×C₁₃	1	1	yes	characteristic, complemented
728	#3127	C₂×C₁₃	1	1	yes	characteristic, complemented
729	#3120	C₂×C₁₃	1	1	yes	characteristic, complemented
730	#3117	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	C₂×#462	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	C₂²×D₄	1	1	yes	characteristic
738	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
739	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
740	Q₈×C₁₃	—	2	1	no	—
741	Q₈×C₁₃	—	2	1	no	—
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	—	2	1	no	—
754	Q₈×C₁₃	—	2	1	no	—
755	Q₈×C₁₃	—	4	1	no	—
756	Q₈×C₁₃	—	4	2	no	—
757	Q₈×C₁₃	—	4	2	no	—
758	Q₈×C₁₃	—	8	1	no	—
759	Q₈×C₁₃	—	8	1	no	—
760	Q₈×C₁₃	—	8	1	no	—
761	Q₈×C₁₃	—	8	1	no	—
762	Q₈×C₁₃	—	8	1	no	—
763	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
764	D₄×C₁₃	—	2	2	no	—
765	D₄×C₁₃	—	2	2	no	—
766	D₄×C₁₃	—	2	1	no	—
767	D₄×C₁₃	—	2	1	no	—
768	D₄×C₁₃	—	2	1	no	—
769	D₄×C₁₃	—	2	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	C₂×C₄×C₁₃	—	2	2	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	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	—	4	1	no	—
799	C₂×C₄×C₁₃	—	4	2	no	—
800	C₂×C₄×C₁₃	—	4	2	no	—
801	C₂×C₄×C₁₃	—	4	2	no	—
802	C₂×C₄×C₁₃	—	4	2	no	—
803	C₂×C₄×C₁₃	—	8	1	no	—
804	C₂×C₄×C₁₃	—	8	1	no	—
805	C₂×C₄×C₁₃	—	8	1	no	—
806	C₂×C₄×C₁₃	—	8	1	no	—
807	C₂×C₄×C₁₃	—	8	1	no	—
808	C₂×C₄×C₁₃	—	8	1	no	—
809	C₂×C₄×C₁₃	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
825	C₈×C₁₃	—	2	1	no	—
826	C₈×C₁₃	—	2	1	no	—
827	C₈×C₁₃	—	2	1	no	—
828	C₈×C₁₃	—	2	1	no	—
829	C₈×C₁₃	—	2	1	no	—
830	C₈×C₁₃	—	2	1	no	—
831	C₈×C₁₃	—	2	1	no	—
832	C₈×C₁₃	—	2	1	no	—
833	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
834	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
835	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
836	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
837	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
838	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
839	#563	—	2	1	no	—
840	#563	—	2	1	no	—
841	#557	C₂²×C₁₃	1	1	yes	characteristic
842	#557	C₂²×C₁₃	1	1	yes	characteristic
843	#556	—	2	1	no	—
844	#556	C₂²×C₁₃	1	1	yes	characteristic
845	#556	C₂²×C₁₃	1	1	yes	characteristic
846	#554	—	2	1	no	—
847	#554	—	2	1	no	—
848	#554	C₂²×C₁₃	1	1	yes	characteristic
849	#553	—	2	1	no	—
850	#553	—	2	1	no	—
851	#553	C₂²×C₁₃	1	1	yes	characteristic
852	#552	—	2	1	no	—
853	#552	C₂²×C₁₃	1	1	yes	characteristic
854	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
855	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
856	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
857	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
858	#548	C₂²×C₁₃	1	1	yes	characteristic
859	#548	C₂²×C₁₃	1	1	yes	characteristic
860	#548	C₂²×C₁₃	1	1	yes	characteristic
861	#548	C₂²×C₁₃	1	1	yes	characteristic
862	#547	C₂²×C₁₃	1	1	yes	characteristic
863	#544	—	2	1	no	—
864	#542	—	2	1	no	—
865	#542	—	2	1	no	—
866	#542	C₂²×C₁₃	1	1	yes	characteristic
867	#541	—	2	1	no	—
868	#541	C₂²×C₁₃	1	1	yes	characteristic
869	#541	C₂²×C₁₃	1	1	yes	characteristic
870	#541	C₂²×C₁₃	1	1	yes	characteristic
871	#539	—	2	1	no	—
872	#539	—	2	1	no	—
873	#536	C₂²×C₁₃	1	1	yes	characteristic
874	#536	C₂²×C₁₃	1	1	yes	characteristic
875	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
876	#529	—	2	1	no	—
877	#529	—	2	1	no	—
878	#529	C₂²×C₁₃	1	1	yes	characteristic
879	#529	C₂²×C₁₃	1	1	yes	characteristic
880	#529	C₂²×C₁₃	1	1	yes	characteristic
881	#520	C₂²×C₁₃	1	1	yes	characteristic
882	#519	C₂²×C₁₃	1	1	yes	characteristic
883	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
884	#497	C₂²×C₁₃	1	1	yes	characteristic
885	#497	C₂²×C₁₃	1	1	yes	characteristic
886	#497	C₂²×C₁₃	1	1	yes	characteristic
887	#497	C₂²×C₁₃	1	1	yes	characteristic
888	#495	C₂²×C₁₃	1	1	yes	characteristic
889	#494	C₂²×C₁₃	1	1	yes	characteristic
890	#491	C₂²×C₁₃	1	1	yes	characteristic
891	#491	C₂²×C₁₃	1	1	yes	characteristic
892	#491	C₂²×C₁₃	1	1	yes	characteristic
893	#489	C₂²×C₁₃	1	1	yes	characteristic
894	#488	C₂²×C₁₃	1	1	yes	characteristic
895	#487	C₂²×C₁₃	1	1	yes	characteristic
896	#485	C₂²×C₁₃	1	1	yes	characteristic
897	#485	C₂²×C₁₃	1	1	yes	characteristic
898	#484	C₂²×C₁₃	1	1	yes	characteristic
899	#484	C₂²×C₁₃	1	1	yes	characteristic
900	#483	C₂²×C₁₃	1	1	yes	characteristic
901	#481	C₂²×C₁₃	1	1	yes	characteristic
902	#479	C₂²×C₁₃	1	1	yes	characteristic
903	#479	C₂²×C₁₃	1	1	yes	characteristic
904	#479	C₂²×C₁₃	1	1	yes	characteristic
905	#479	C₂²×C₁₃	1	1	yes	characteristic
906	#479	C₂²×C₁₃	1	1	yes	characteristic
907	#479	C₂²×C₁₃	1	1	yes	characteristic
908	#478	C₂²×C₁₃	1	1	yes	characteristic
909	#478	C₂²×C₁₃	1	1	yes	characteristic
910	#477	C₂²×C₁₃	1	1	yes	characteristic
911	#475	C₂²×C₁₃	1	1	yes	characteristic
912	#470	C₂²×C₁₃	1	1	yes	characteristic
913	#470	C₂²×C₁₃	1	1	yes	characteristic
914	#470	C₂²×C₁₃	1	1	yes	characteristic
915	#468	C₂²×C₁₃	1	1	yes	characteristic
916	#467	C₂²×C₁₃	1	1	yes	characteristic
917	#467	C₂²×C₁₃	1	1	yes	characteristic
918	#467	C₂²×C₁₃	1	1	yes	characteristic
919	#467	C₂²×C₁₃	1	1	yes	characteristic
920	#466	C₂²×C₁₃	1	1	yes	characteristic
921	#465	C₂²×C₁₃	1	1	yes	characteristic
922	#465	C₂²×C₁₃	1	1	yes	characteristic
923	#465	C₂²×C₁₃	1	1	yes	characteristic
924	#464	C₂²×C₁₃	1	1	yes	characteristic
925	#464	C₂²×C₁₃	1	1	yes	characteristic
926	#464	C₂²×C₁₃	1	1	yes	characteristic
927	#464	C₂²×C₁₃	1	1	yes	characteristic
928	#464	C₂²×C₁₃	1	1	yes	characteristic
929	#464	C₂²×C₁₃	1	1	yes	characteristic
930	#464	C₂²×C₁₃	1	1	yes	characteristic
931	#464	C₂²×C₁₃	1	1	yes	characteristic
932	#464	C₂²×C₁₃	1	1	yes	characteristic
933	#463	C₂²×C₁₃	1	1	yes	characteristic
934	#463	C₂²×C₁₃	1	1	yes	characteristic
935	#463	C₂²×C₁₃	1	1	yes	characteristic
936	#462	C₂²×C₁₃	1	1	yes	characteristic
937	#462	C₂²×C₁₃	1	1	yes	characteristic
938	#462	C₂²×C₁₃	1	1	yes	characteristic
939	#462	C₂²×C₁₃	1	1	yes	characteristic
940	#462	C₂²×C₁₃	1	1	yes	characteristic
941	#462	C₂²×C₁₃	1	1	yes	characteristic
942	#462	C₂²×C₁₃	1	1	yes	characteristic
943	#462	C₂²×C₁₃	1	1	yes	characteristic
944	#462	C₂²×C₁₃	1	1	yes	characteristic
945	#462	C₂²×C₁₃	1	1	yes	characteristic
946	#462	C₂²×C₁₃	1	1	yes	characteristic
947	#462	C₂²×C₁₃	1	1	yes	characteristic
948	#462	C₂²×C₁₃	1	1	yes	characteristic
949	#462	C₂²×C₁₃	1	1	yes	characteristic
950	#462	C₂²×C₁₃	1	1	yes	characteristic
951	#461	C₂²×C₁₃	1	1	yes	characteristic
952	#461	C₂²×C₁₃	1	1	yes	characteristic
953	#461	C₂²×C₁₃	1	1	yes	characteristic
954	#452	C₂²×C₁₃	1	1	yes	characteristic
955	#452	C₂²×C₁₃	1	1	yes	characteristic
956	#452	C₂²×C₁₃	1	1	yes	characteristic
957	#452	C₂²×C₁₃	1	1	yes	characteristic
958	#452	C₂²×C₁₃	1	1	yes	characteristic
959	#451	C₂²×C₁₃	1	1	yes	characteristic
960	#451	C₂²×C₁₃	1	1	yes	characteristic
961	#451	C₂²×C₁₃	1	1	yes	characteristic
962	#451	C₂²×C₁₃	1	1	yes	characteristic
963	#451	C₂²×C₁₃	1	1	yes	characteristic
964	#451	C₂²×C₁₃	1	1	yes	characteristic
965	#451	C₂²×C₁₃	1	1	yes	characteristic
966	#451	C₂²×C₁₃	1	1	yes	characteristic
967	#449	C₂²×C₁₃	1	1	yes	characteristic
968	#448	C₂²×C₁₃	1	1	yes	characteristic
969	#448	C₂²×C₁₃	1	1	yes	characteristic
970	#448	C₂²×C₁₃	1	1	yes	characteristic
971	#448	C₂²×C₁₃	1	1	yes	characteristic
972	#446	C₂²×C₁₃	1	1	yes	characteristic
973	#446	C₂²×C₁₃	1	1	yes	characteristic
974	#441	C₂²×C₁₃	1	1	yes	characteristic
975	#441	C₂²×C₁₃	1	1	yes	characteristic
976	#441	C₂²×C₁₃	1	1	yes	characteristic
977	#441	C₂²×C₁₃	1	1	yes	characteristic
978	#441	C₂²×C₁₃	1	1	yes	characteristic
979	#440	C₂²×C₁₃	1	1	yes	characteristic
980	#440	C₂²×C₁₃	1	1	yes	characteristic
981	#440	C₂²×C₁₃	1	1	yes	characteristic
982	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
983	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
984	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
985	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
986	#435	C₂²×C₁₃	1	1	yes	characteristic
987	#435	C₂²×C₁₃	1	1	yes	characteristic
988	#435	C₂²×C₁₃	1	1	yes	characteristic
989	#435	C₂²×C₁₃	1	1	yes	characteristic
990	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
991	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
992	#433	C₂²×C₁₃	1	1	yes	characteristic
993	#433	C₂²×C₁₃	1	1	yes	characteristic
994	#432	C₂²×C₁₃	1	1	yes	characteristic
995	#424	C₂²×C₁₃	1	1	yes	characteristic
996	#424	C₂²×C₁₃	1	1	yes	characteristic
997	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
998	#419	C₂²×C₁₃	1	1	yes	characteristic
999	#417	C₂²×C₁₃	1	1	yes	characteristic
1000	#416	C₂²×C₁₃	1	1	yes	characteristic
1001	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
1002	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
1003	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
1004	C₂²×C₁₃	—	2	1	no	—
1005	C₂²×C₁₃	—	2	1	no	—
1006	C₂²×C₁₃	—	2	1	no	—
1007	C₂²×C₁₃	—	2	1	no	—
1008	C₂²×C₁₃	—	2	1	no	—
1009	C₂²×C₁₃	—	2	1	no	—
1010	C₂²×C₁₃	—	2	1	no	—
1011	C₂²×C₁₃	—	2	1	no	—
1012	C₂²×C₁₃	—	4	1	no	—
1013	C₂²×C₁₃	—	4	1	no	—
1014	C₂²×C₁₃	—	4	1	no	—
1015	C₂²×C₁₃	—	4	1	no	—
1016	C₂²×C₁₃	—	4	1	no	—
1017	C₂²×C₁₃	—	4	1	no	—
1018	C₂²×C₁₃	#578	1	2	yes	—
1019	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1020	C₄×C₁₃	—	2	1	no	—
1021	C₄×C₁₃	—	2	1	no	—
1022	C₄×C₁₃	—	2	1	no	—
1023	C₄×C₁₃	—	2	1	no	—
1024	C₄×C₁₃	—	2	1	no	—
1025	C₄×C₁₃	—	2	1	no	—
1026	C₄×C₁₃	—	2	1	no	—
1027	C₄×C₁₃	—	2	2	no	—
1028	C₄×C₁₃	—	2	1	no	—
1029	C₄×C₁₃	—	2	1	no	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	4	1	no	—
1033	C₄×C₁₃	—	4	1	no	—
1034	C₄×C₁₃	—	4	1	no	—
1035	C₄×C₁₃	—	4	1	no	—
1036	C₄×C₁₃	—	4	1	no	—
1037	C₄×C₁₃	—	4	1	no	—
1038	C₄×C₁₃	—	4	1	no	—
1039	C₄×C₁₃	—	4	1	no	—
1040	C₄×C₁₃	—	4	1	no	—
1041	C₄×C₁₃	—	4	1	no	—
1042	C₄×C₁₃	—	4	1	no	—
1043	C₄×C₁₃	—	4	1	no	—
1044	C₄×C₁₃	—	4	1	no	—
1045	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1046	C₄×C₁₃	#585	1	1	yes	characteristic
1047	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1055	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1056	#137	—	4	2	no	—
1057	#137	—	4	2	no	—
1058	#135	—	4	2	no	—
1059	C₂×Q₁₆	—	4	2	no	—
1060	C₂×Q₁₆	—	4	2	no	—
1061	C₂×Q₁₆	—	4	2	no	—
1062	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1068	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1069	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1070	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1071	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1072	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1073	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1074	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1075	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1076	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1077	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1078	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1079	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1080	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1081	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1082	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1083	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1084	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1085	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1086	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1087	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1088	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1089	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1090	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1091	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1092	C₄⋊Q₈	—	2	1	no	—
1093	C₄⋊Q₈	—	2	1	no	—
1094	C₄⋊Q₈	—	2	1	no	—
1095	C₄⋊Q₈	—	2	1	no	—
1096	C₄⋊Q₈	—	2	1	no	—
1097	C₄⋊Q₈	—	2	1	no	—
1098	C₄⋊Q₈	—	2	1	no	—
1099	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1100	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1101	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1102	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1103	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1104	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1105	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1106	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1107	#126	—	2	1	no	—
1108	#126	—	2	1	no	—
1109	#126	—	2	1	no	—
1110	#126	—	2	1	no	—
1111	#126	—	2	1	no	—
1112	#126	—	2	1	no	—
1113	#126	—	2	1	no	—
1114	#126	—	2	1	no	—
1115	#126	—	2	1	no	—
1116	#126	—	2	1	no	—
1117	#126	—	2	1	no	—
1118	#126	—	2	1	no	—
1119	#126	—	2	1	no	—
1120	#126	—	2	1	no	—
1121	#126	—	2	1	no	—
1122	#126	D₄×C₁₃	1	1	yes	characteristic
1123	#126	D₄×C₁₃	1	1	yes	characteristic
1124	#125	—	2	1	no	—
1125	#125	—	2	1	no	—
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	—	2	1	no	—
1134	#125	—	2	1	no	—
1135	#125	—	2	1	no	—
1136	#125	—	2	1	no	—
1137	#125	D₄×C₁₃	1	1	yes	characteristic
1138	#125	C₂³×C₁₃	1	1	yes	characteristic
1139	#125	C₂³×C₁₃	1	1	yes	characteristic
1140	#125	C₂³×C₁₃	1	1	yes	characteristic
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	D₄×C₁₃	1	1	yes	characteristic
1147	#124	C₂³×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	#123	—	2	1	no	—
1153	#123	—	2	1	no	—
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	D₄×C₁₃	1	1	yes	characteristic
1164	#123	D₄×C₁₃	1	1	yes	characteristic
1165	C₂²⋊Q₈	—	2	1	no	—
1166	C₂²⋊Q₈	—	2	1	no	—
1167	C₂²⋊Q₈	—	2	1	no	—
1168	C₂²⋊Q₈	—	2	1	no	—
1169	C₂²⋊Q₈	—	2	1	no	—
1170	C₂²⋊Q₈	—	2	1	no	—
1171	C₂²⋊Q₈	—	2	1	no	—
1172	C₂²⋊Q₈	—	2	1	no	—
1173	C₂²⋊Q₈	—	2	1	no	—
1174	C₂²⋊Q₈	—	2	1	no	—
1175	C₂²⋊Q₈	—	2	1	no	—
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	D₄×C₁₃	1	1	yes	characteristic
1187	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1188	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1189	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1190	C₂²⋊Q₈	C₂³×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	#121	—	2	1	no	—
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	D₄×C₁₃	1	1	yes	characteristic
1203	#121	C₂³×C₁₃	1	1	yes	characteristic
1204	#121	C₂³×C₁₃	1	1	yes	characteristic
1205	#121	C₂³×C₁₃	1	1	yes	characteristic
1206	C₄×Q₈	—	2	1	no	—
1207	C₄×Q₈	—	2	1	no	—
1208	C₄×Q₈	—	2	1	no	—
1209	C₄×Q₈	—	2	1	no	—
1210	C₄×Q₈	—	2	1	no	—
1211	C₄×Q₈	—	2	1	no	—
1212	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1213	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1214	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1215	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1216	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1217	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1218	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1219	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1220	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1221	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1222	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1223	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1224	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1225	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	2	1	no	—
1233	C₄×D₄	—	2	1	no	—
1234	C₄×D₄	—	2	1	no	—
1235	C₄×D₄	—	2	1	no	—
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	C₂³×C₁₃	1	1	yes	characteristic
1241	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1242	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1243	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1244	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1245	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1246	#117	—	2	1	no	—
1247	#117	—	2	1	no	—
1248	#117	—	2	1	no	—
1249	#117	—	2	1	no	—
1250	#117	—	2	1	no	—
1251	#117	—	2	1	no	—
1252	#117	—	2	1	no	—
1253	#117	—	2	1	no	—
1254	#117	C₂³×C₁₃	1	1	yes	characteristic
1255	#117	C₂³×C₁₃	1	1	yes	characteristic
1256	#117	C₂³×C₁₃	1	1	yes	characteristic
1257	C₂×C₄⋊C₄	—	2	1	no	—
1258	C₂×C₄⋊C₄	—	2	1	no	—
1259	C₂×C₄⋊C₄	—	2	1	no	—
1260	C₂×C₄⋊C₄	—	2	1	no	—
1261	C₂×C₄⋊C₄	—	2	1	no	—
1262	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1263	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1264	C₂×C₄²	—	2	1	no	—
1265	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1266	#107	C₂³×C₁₃	1	1	yes	characteristic
1267	#107	C₂³×C₁₃	1	1	yes	characteristic
1268	#107	C₂³×C₁₃	1	1	yes	characteristic
1269	#107	C₂³×C₁₃	1	1	yes	characteristic
1270	#106	C₂³×C₁₃	1	1	yes	characteristic
1271	#106	C₂³×C₁₃	1	1	yes	characteristic
1272	#106	C₂³×C₁₃	1	1	yes	characteristic
1273	#106	C₂³×C₁₃	1	1	yes	characteristic
1274	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1275	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1276	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1277	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1278	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1279	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1280	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1281	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1282	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1283	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1284	#103	C₂³×C₁₃	1	1	yes	characteristic
1285	#103	C₂³×C₁₃	1	1	yes	characteristic
1286	#103	C₂³×C₁₃	1	1	yes	characteristic
1287	#103	C₂³×C₁₃	1	1	yes	characteristic
1288	#103	C₂³×C₁₃	1	1	yes	characteristic
1289	#103	C₂³×C₁₃	1	1	yes	characteristic
1290	#103	C₂³×C₁₃	1	1	yes	characteristic
1291	#103	C₂³×C₁₃	1	1	yes	characteristic
1292	#103	C₂³×C₁₃	1	1	yes	characteristic
1293	#103	C₂³×C₁₃	1	1	yes	characteristic
1294	#103	C₂³×C₁₃	1	1	yes	characteristic
1295	#103	C₂³×C₁₃	1	1	yes	characteristic
1296	#103	C₂³×C₁₃	1	1	yes	characteristic
1297	#103	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	#102	C₂³×C₁₃	1	1	yes	characteristic
1311	#102	C₂³×C₁₃	1	1	yes	characteristic
1312	#102	C₂³×C₁₃	1	1	yes	characteristic
1313	#102	C₂³×C₁₃	1	1	yes	characteristic
1314	#102	C₂³×C₁₃	1	1	yes	characteristic
1315	#102	C₂³×C₁₃	1	1	yes	characteristic
1316	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1317	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1318	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1319	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1320	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1321	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1322	#97	C₂³×C₁₃	1	1	yes	characteristic
1323	#97	C₂³×C₁₃	1	1	yes	characteristic
1324	#97	C₂³×C₁₃	1	1	yes	characteristic
1325	#97	C₂³×C₁₃	1	1	yes	characteristic
1326	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1327	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1328	C₂×C₁₃	—	2	2	no	—
1329	C₂×C₁₃	—	4	1	no	—
1330	C₂×C₁₃	—	4	1	no	—
1331	C₂×C₁₃	—	8	1	no	—
1332	C₂×C₁₃	—	8	1	no	—
1333	C₂×C₁₃	#3488	1	1	yes	characteristic
1334	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1335	C₂×C₁₃	#3586	1	1	yes	characteristic
1336	#41	—	2	2	no	—
1337	#41	—	4	1	no	—
1338	#41	—	4	1	no	—
1339	#41	—	4	1	no	—
1340	#41	—	4	1	no	—
1341	#41	—	4	1	no	—
1342	C₂×Q₈	—	2	1	no	—
1343	C₂×Q₈	—	2	1	no	—
1344	C₂×Q₈	—	2	1	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	—	2	1	no	—
1348	C₂×Q₈	—	2	1	no	—
1349	C₂×Q₈	—	2	2	no	—
1350	C₂×Q₈	—	2	2	no	—
1351	C₂×Q₈	—	4	1	no	—
1352	C₂×Q₈	—	4	1	no	—
1353	C₂×Q₈	—	4	1	no	—
1354	C₂×Q₈	—	4	1	no	—
1355	C₂×Q₈	—	4	1	no	—
1356	C₂×Q₈	—	4	1	no	—
1357	C₂×Q₈	—	4	1	no	—
1358	C₂×Q₈	—	4	1	no	—
1359	C₂×Q₈	—	4	1	no	—
1360	C₂×Q₈	—	4	1	no	—
1361	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1362	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1363	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1364	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1365	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1366	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1367	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1368	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1369	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1377	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1378	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1379	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1380	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1396	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1397	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1398	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1399	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1400	Q₁₆	—	2	2	no	—
1401	Q₁₆	—	2	2	no	—
1402	Q₁₆	—	2	2	no	—
1403	Q₁₆	—	2	2	no	—
1404	Q₁₆	—	2	2	no	—
1405	Q₁₆	—	4	1	no	—
1406	Q₁₆	—	4	1	no	—
1407	Q₁₆	—	4	1	no	—
1408	Q₁₆	—	4	1	no	—
1409	Q₁₆	—	4	1	no	—
1410	Q₁₆	—	4	1	no	—
1411	Q₁₆	—	4	1	no	—
1412	Q₁₆	—	4	1	no	—
1413	Q₁₆	—	4	1	no	—
1414	Q₁₆	—	4	1	no	—
1415	SD₁₆	—	2	2	no	—
1416	SD₁₆	—	4	1	no	—
1417	SD₁₆	—	4	1	no	—
1418	SD₁₆	—	4	1	no	—
1419	SD₁₆	—	4	1	no	—
1420	SD₁₆	—	4	1	no	—
1421	SD₁₆	—	4	1	no	—
1422	SD₁₆	—	4	1	no	—
1423	D₈	—	4	1	no	—
1424	M₁₆	—	4	1	no	—
1425	M₁₆	—	4	1	no	—
1426	C₂×C₈	—	4	1	no	—
1427	C₂×C₈	—	4	1	no	—
1428	C₂×C₈	—	4	1	no	—
1429	C₂×C₈	—	4	1	no	—
1430	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1431	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1432	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1433	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1434	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1435	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1436	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1437	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1484	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1485	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1486	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1487	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1488	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1493	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1494	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1495	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1496	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1497	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1498	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1530	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1531	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1532	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1533	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1534	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	—	2	1	no	—
1538	C₄²	—	2	1	no	—
1539	C₄²	—	2	1	no	—
1540	C₄²	—	2	1	no	—
1541	C₄²	—	2	1	no	—
1542	C₄²	—	2	1	no	—
1543	C₄²	—	2	1	no	—
1544	C₄²	—	2	1	no	—
1545	C₄²	—	2	1	no	—
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1550	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1551	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1552	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1553	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1554	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1555	C₁₃	#62010	1	1	yes	characteristic, direct product factor, Sylow
1556	C₂³	—	2	1	no	—
1557	C₂³	—	2	1	no	—
1558	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1559	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1560	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	2	1	no	—
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	2	1	no	—
1567	Q₈	—	2	1	no	—
1568	Q₈	—	2	1	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	2	1	no	—
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	2	1	no	—
1574	Q₈	—	2	1	no	—
1575	Q₈	—	2	1	no	—
1576	Q₈	—	4	1	no	—
1577	Q₈	—	4	2	no	—
1578	Q₈	—	4	2	no	—
1579	Q₈	—	8	1	no	—
1580	Q₈	—	8	1	no	—
1581	Q₈	—	8	1	no	—
1582	Q₈	—	8	1	no	—
1583	Q₈	—	8	1	no	—
1584	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1585	D₄	—	2	2	no	—
1586	D₄	—	2	2	no	—
1587	D₄	—	2	1	no	—
1588	D₄	—	2	1	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	4	1	no	—
1592	D₄	—	4	2	no	—
1593	D₄	—	4	2	no	—
1594	D₄	—	4	2	no	—
1595	D₄	—	8	1	no	—
1596	D₄	—	8	1	no	—
1597	D₄	—	8	1	no	—
1598	C₂×C₄	—	2	2	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	4	1	no	—
1620	C₂×C₄	—	4	2	no	—
1621	C₂×C₄	—	4	2	no	—
1622	C₂×C₄	—	4	2	no	—
1623	C₂×C₄	—	4	2	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	—	8	1	no	—
1633	C₂×C₄	—	8	1	no	—
1634	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1635	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1636	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1637	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1638	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1639	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1640	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1641	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1642	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1643	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1644	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1645	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	—	2	1	no	—
1651	C₈	—	2	1	no	—
1652	C₈	—	2	1	no	—
1653	C₈	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	2	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	C₁₃×#578	1	2	yes	—
1669	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	2	1	no	—
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	2	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1696	C₄	C₁₃×#585	1	1	yes	characteristic
1697	C₂	—	2	2	no	—
1698	C₂	—	4	1	no	—
1699	C₂	—	4	1	no	—
1700	C₂	—	8	1	no	—
1701	C₂	—	8	1	no	—
1702	C₂	C₁₃×#3488	1	1	yes	characteristic
1703	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1704	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×#3552	C₂	semidirect
2. C₁₃×#3516	C₂	semidirect
3. C₁₃×#3402	C₂	semidirect
4. C₁₃×#3398	C₂	semidirect
5. C₁₃×#3377	C₂	semidirect
6. C₁₃×#3374	C₂	semidirect
7. C₁₃×#3320	C₂	semidirect
8. C₁₃×#3316	C₂	semidirect
9. C₁₃×#3315	C₂	semidirect
10. C₁₃×#3312	C₂	semidirect
11. C₁₃×#3301	C₂	semidirect
12. C₁₃×#3299	C₂	semidirect
13. D₄×C₁₃×Q₁₆	C₂	semidirect
14. C₁₃×#3285	C₂	semidirect
15. C₁₃×#3270	C₂	semidirect
16. C₁₃×#3270	C₂	semidirect
17. C₁₃×#3270	C₂	semidirect
18. C₁₃×#3269	C₂	semidirect
19. C₁₃×#3261	C₂	semidirect
20. C₁₃×#3258	C₂	semidirect
21. C₁₃×#3250	C₂	semidirect
22. C₁₃×#3225	C₂	semidirect
23. C₁₃×#3223	C₂	semidirect
24. C₁₃×#3218	C₂	semidirect
25. C₁₃×#3127	C₂	semidirect
26. C₁₃×#3120	C₂	semidirect
27. C₁₃×#3117	C₂	semidirect
28. C₁₃×#3046	C₂	semidirect
29. C₁₃×#3044	C₂	semidirect
30. C₂×C₁₃×#462	C₂	semidirect
31. C₁₃×#2992	C₂	semidirect
484. #62010	C₁₃	direct (N × H)
704. #3552	C₂×C₁₃	semidirect
705. #3516	C₂×C₁₃	semidirect
706. #3402	C₂×C₁₃	semidirect
707. #3398	C₂×C₁₃	semidirect
708. #3377	C₂×C₁₃	semidirect
709. #3374	C₂×C₁₃	semidirect
710. #3320	C₂×C₁₃	semidirect
711. #3316	C₂×C₁₃	semidirect
712. #3315	C₂×C₁₃	semidirect
713. #3312	C₂×C₁₃	semidirect
714. #3301	C₂×C₁₃	semidirect
715. #3299	C₂×C₁₃	semidirect
716. D₄×Q₁₆	C₂×C₁₃	semidirect
717. #3285	C₂×C₁₃	semidirect
718. #3270	C₂×C₁₃	semidirect
719. #3270	C₂×C₁₃	semidirect
720. #3270	C₂×C₁₃	semidirect
721. #3269	C₂×C₁₃	semidirect
722. #3261	C₂×C₁₃	semidirect
723. #3258	C₂×C₁₃	semidirect
724. #3250	C₂×C₁₃	semidirect
725. #3225	C₂×C₁₃	semidirect
726. #3223	C₂×C₁₃	semidirect
727. #3218	C₂×C₁₃	semidirect
728. #3127	C₂×C₁₃	semidirect
729. #3120	C₂×C₁₃	semidirect
730. #3117	C₂×C₁₃	semidirect
731. #3046	C₂×C₁₃	semidirect
732. #3044	C₂×C₁₃	semidirect
733. C₂×#462	C₂×C₁₃	semidirect
734. #2992	C₂×C₁₃	semidirect
1555. C₁₃	#62010	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×#3552	2
C₁₃×#3516	2
C₁₃×#3402	2
C₁₃×#3398	2
C₁₃×#3377	2
C₁₃×#3374	2
C₁₃×#3320	2
C₁₃×#3316	2
C₁₃×#3315	2
C₁₃×#3312	2
C₁₃×#3301	2
C₁₃×#3299	2
D₄×C₁₃×Q₁₆	2
C₁₃×#3285	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3261	2
C₁₃×#3258	2
C₁₃×#3250	2
C₁₃×#3225	2
C₁₃×#3223	2
C₁₃×#3218	2
C₁₃×#3127	2
C₁₃×#3120	2
C₁₃×#3117	2
C₁₃×#3046	2
C₁₃×#3044	2
C₂×C₁₃×#462	2
C₁₃×#2992	2
#62010	13

Subgroups — C13×#62010 #15748349

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62010 #15748349