Subgroups — C₁₃×#62157 #15748496

Order 3328.

1684 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3544	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3388	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3387	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3348	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3345	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3344	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3344	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3337	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3335	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3316	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3300	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3263	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×#3244	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3242	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3117	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3084	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₃×#475	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#563	—	2	1	no	—
33	C₁₃×#563	—	2	1	no	—
34	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
35	C₁₃×#557	C₂²	1	1	yes	characteristic
36	C₁₃×#556	—	2	1	no	—
37	C₁₃×#556	C₂²	1	1	yes	characteristic
38	C₁₃×#555	C₂²	1	1	yes	characteristic
39	C₁₃×#554	—	2	1	no	—
40	C₁₃×#554	C₂²	1	1	yes	characteristic
41	C₁₃×#554	C₂²	1	1	yes	characteristic
42	C₁₃×#554	C₂²	1	1	yes	characteristic
43	C₁₃×#553	—	2	1	no	—
44	C₁₃×#553	C₂²	1	1	yes	characteristic
45	C₁₃×#552	—	2	1	no	—
46	C₁₃×#552	—	2	1	no	—
47	C₁₃×#552	C₂²	1	1	yes	characteristic
48	C₁₃×#552	C₂²	1	1	yes	characteristic
49	C₁₃×#552	C₂²	1	1	yes	characteristic
50	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
51	C₁₃×#548	C₂²	1	1	yes	characteristic
52	C₁₃×#548	C₂²	1	1	yes	characteristic
53	C₁₃×#547	—	2	1	no	—
54	C₁₃×#547	C₂²	1	1	yes	characteristic
55	C₁₃×#547	C₂²	1	1	yes	characteristic
56	C₁₃×#544	—	2	1	no	—
57	C₁₃×#544	C₂²	1	1	yes	characteristic
58	C₁₃×#544	C₂²	1	1	yes	characteristic
59	C₁₃×#542	—	2	1	no	—
60	C₁₃×#542	—	2	1	no	—
61	C₁₃×#542	C₂²	1	1	yes	characteristic
62	C₁₃×#542	C₂²	1	1	yes	characteristic
63	C₁₃×#542	C₂²	1	1	yes	characteristic
64	C₁₃×#541	—	2	1	no	—
65	C₁₃×#541	C₂²	1	1	yes	characteristic
66	C₁₃×#536	—	2	1	no	—
67	C₁₃×#536	—	2	1	no	—
68	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
69	C₁₃×#529	—	2	1	no	—
70	C₁₃×#529	—	2	1	no	—
71	C₁₃×#529	C₂²	1	1	yes	characteristic
72	C₁₃×#529	C₂²	1	1	yes	characteristic
73	C₁₃×#529	C₂²	1	1	yes	characteristic
74	C₁₃×#520	C₂²	1	1	yes	characteristic
75	C₁₃×#519	C₂²	1	1	yes	characteristic
76	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
77	C₁₃×#501	C₂²	1	1	yes	characteristic
78	C₁₃×#501	C₂²	1	1	yes	characteristic
79	C₁₃×#501	C₂²	1	1	yes	characteristic
80	C₁₃×#501	C₂²	1	1	yes	characteristic
81	C₁₃×#499	C₂²	1	1	yes	characteristic
82	C₁₃×#498	C₂²	1	1	yes	characteristic
83	C₁₃×#491	C₂²	1	1	yes	characteristic
84	C₁₃×#489	C₂²	1	1	yes	characteristic
85	C₁₃×#489	C₂²	1	1	yes	characteristic
86	C₁₃×#489	C₂²	1	1	yes	characteristic
87	C₁₃×#488	C₂²	1	1	yes	characteristic
88	C₁₃×#487	C₂²	1	1	yes	characteristic
89	C₁₃×#485	C₂²	1	1	yes	characteristic
90	C₁₃×#485	C₂²	1	1	yes	characteristic
91	C₁₃×#485	C₂²	1	1	yes	characteristic
92	C₁₃×#485	C₂²	1	1	yes	characteristic
93	C₁₃×#484	C₂²	1	1	yes	characteristic
94	C₁₃×#484	C₂²	1	1	yes	characteristic
95	C₁₃×#483	C₂²	1	1	yes	characteristic
96	C₁₃×#483	C₂²	1	1	yes	characteristic
97	C₁₃×#483	C₂²	1	1	yes	characteristic
98	C₁₃×#483	C₂²	1	1	yes	characteristic
99	C₁₃×#483	C₂²	1	1	yes	characteristic
100	C₁₃×#482	C₂²	1	1	yes	characteristic
101	C₁₃×#482	C₂²	1	1	yes	characteristic
102	C₁₃×#481	C₂²	1	1	yes	characteristic
103	C₁₃×#481	C₂²	1	1	yes	characteristic
104	C₁₃×#481	C₂²	1	1	yes	characteristic
105	C₁₃×#480	C₂²	1	1	yes	characteristic
106	C₁₃×#480	C₂²	1	1	yes	characteristic
107	C₁₃×#479	C₂²	1	1	yes	characteristic
108	C₁₃×#479	C₂²	1	1	yes	characteristic
109	C₁₃×#479	C₂²	1	1	yes	characteristic
110	C₁₃×#479	C₂²	1	1	yes	characteristic
111	C₁₃×#479	C₂²	1	1	yes	characteristic
112	C₁₃×#479	C₂²	1	1	yes	characteristic
113	C₁₃×#479	C₂²	1	1	yes	characteristic
114	C₁₃×#479	C₂²	1	1	yes	characteristic
115	C₁₃×#478	C₂²	1	1	yes	characteristic
116	C₁₃×#478	C₂²	1	1	yes	characteristic
117	C₁₃×#478	C₂²	1	1	yes	characteristic
118	C₁₃×#478	C₂²	1	1	yes	characteristic
119	C₁₃×#477	C₂²	1	1	yes	characteristic
120	C₁₃×#477	C₂²	1	1	yes	characteristic
121	C₁₃×#477	C₂²	1	1	yes	characteristic
122	C₁₃×#476	C₂²	1	1	yes	characteristic
123	C₁₃×#476	C₂²	1	1	yes	characteristic
124	C₁₃×#476	C₂²	1	1	yes	characteristic
125	C₁₃×#476	C₂²	1	1	yes	characteristic
126	C₁₃×#475	C₂²	1	1	yes	characteristic
127	C₁₃×#475	C₂²	1	1	yes	characteristic
128	C₁₃×#475	C₂²	1	1	yes	characteristic
129	C₁₃×#475	C₂²	1	1	yes	characteristic
130	C₁₃×#475	C₂²	1	1	yes	characteristic
131	C₁₃×#475	C₂²	1	1	yes	characteristic
132	C₁₃×#475	C₂²	1	1	yes	characteristic
133	C₁₃×#475	C₂²	1	1	yes	characteristic
134	C₁₃×#475	C₂²	1	1	yes	characteristic
135	C₁₃×#475	C₂²	1	1	yes	characteristic
136	C₁₃×#475	C₂²	1	1	yes	characteristic
137	C₁₃×#470	C₂²	1	1	yes	characteristic
138	C₁₃×#470	C₂²	1	1	yes	characteristic
139	C₁₃×#469	C₂²	1	1	yes	characteristic
140	C₁₃×#468	C₂²	1	1	yes	characteristic
141	C₁₃×#467	C₂²	1	1	yes	characteristic
142	C₁₃×#467	C₂²	1	1	yes	characteristic
143	C₁₃×#466	C₂²	1	1	yes	characteristic
144	C₁₃×#465	C₂²	1	1	yes	characteristic
145	C₁₃×#465	C₂²	1	1	yes	characteristic
146	C₁₃×#465	C₂²	1	1	yes	characteristic
147	C₁₃×#465	C₂²	1	1	yes	characteristic
148	C₁₃×#465	C₂²	1	1	yes	characteristic
149	C₁₃×#464	C₂²	1	1	yes	characteristic
150	C₁₃×#464	C₂²	1	1	yes	characteristic
151	C₁₃×#464	C₂²	1	1	yes	characteristic
152	C₁₃×#464	C₂²	1	1	yes	characteristic
153	C₁₃×#464	C₂²	1	1	yes	characteristic
154	C₁₃×#463	C₂²	1	1	yes	characteristic
155	C₁₃×#463	C₂²	1	1	yes	characteristic
156	C₁₃×#463	C₂²	1	1	yes	characteristic
157	C₁₃×#462	C₂²	1	1	yes	characteristic
158	C₁₃×#461	C₂²	1	1	yes	characteristic
159	C₁₃×#452	C₂²	1	1	yes	characteristic
160	C₁₃×#451	C₂²	1	1	yes	characteristic
161	C₁₃×#451	C₂²	1	1	yes	characteristic
162	C₁₃×#449	C₂²	1	1	yes	characteristic
163	C₁₃×#448	C₂²	1	1	yes	characteristic
164	C₁₃×#448	C₂²	1	1	yes	characteristic
165	C₁₃×#446	C₂²	1	1	yes	characteristic
166	C₁₃×#446	C₂²	1	1	yes	characteristic
167	C₁₃×#442	C₂²	1	1	yes	characteristic
168	C₁₃×#441	C₂²	1	1	yes	characteristic
169	C₁₃×#441	C₂²	1	1	yes	characteristic
170	C₁₃×#441	C₂²	1	1	yes	characteristic
171	C₁₃×#441	C₂²	1	1	yes	characteristic
172	C₁₃×#440	C₂²	1	1	yes	characteristic
173	C₁₃×#440	C₂²	1	1	yes	characteristic
174	C₁₃×#440	C₂²	1	1	yes	characteristic
175	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
176	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
178	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
179	C₁₃×#435	C₂²	1	1	yes	characteristic
180	C₁₃×#435	C₂²	1	1	yes	characteristic
181	C₁₃×#435	C₂²	1	1	yes	characteristic
182	C₁₃×#435	C₂²	1	1	yes	characteristic
183	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
185	C₁₃×#433	C₂²	1	1	yes	characteristic
186	C₁₃×#433	C₂²	1	1	yes	characteristic
187	C₁₃×#432	C₂²	1	1	yes	characteristic
188	C₁₃×#428	C₂²	1	1	yes	characteristic
189	C₁₃×#428	C₂²	1	1	yes	characteristic
190	C₁₃×#427	C₂²	1	1	yes	characteristic
191	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
192	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
193	C₂×C₁₃×#106	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	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	—	2	1	no	—
207	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
219	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₁₃×C₄⋊Q₈	—	2	1	no	—
224	C₁₃×C₄⋊Q₈	—	2	1	no	—
225	C₁₃×C₄⋊Q₈	—	2	1	no	—
226	C₁₃×C₄⋊Q₈	—	2	1	no	—
227	C₁₃×C₄⋊Q₈	—	2	1	no	—
228	C₁₃×C₄⋊Q₈	—	2	1	no	—
229	C₁₃×C₄⋊Q₈	—	2	1	no	—
230	C₁₃×C₄⋊Q₈	—	2	1	no	—
231	C₁₃×C₄⋊Q₈	—	2	1	no	—
232	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
233	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₁₃×#126	—	2	1	no	—
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#126	—	2	1	no	—
243	C₁₃×#126	—	2	1	no	—
244	C₁₃×#126	—	2	1	no	—
245	C₁₃×#126	—	2	1	no	—
246	C₁₃×#126	—	2	1	no	—
247	C₁₃×#126	—	2	1	no	—
248	C₁₃×#126	—	2	1	no	—
249	C₁₃×#126	—	2	1	no	—
250	C₁₃×#126	—	2	1	no	—
251	C₁₃×#126	—	2	1	no	—
252	C₁₃×#126	—	2	1	no	—
253	C₁₃×#126	D₄	1	1	yes	characteristic
254	C₁₃×#126	D₄	1	1	yes	characteristic
255	C₁₃×#125	—	2	1	no	—
256	C₁₃×#125	—	2	1	no	—
257	C₁₃×#125	—	2	1	no	—
258	C₁₃×#125	—	2	1	no	—
259	C₁₃×#125	—	2	1	no	—
260	C₁₃×#125	—	2	1	no	—
261	C₁₃×#125	—	2	1	no	—
262	C₁₃×#125	—	2	1	no	—
263	C₁₃×#125	—	2	1	no	—
264	C₁₃×#125	—	2	1	no	—
265	C₁₃×#125	—	2	1	no	—
266	C₁₃×#125	D₄	1	1	yes	characteristic
267	C₁₃×#125	C₂³	1	1	yes	characteristic
268	C₁₃×#125	C₂³	1	1	yes	characteristic
269	C₁₃×#125	C₂³	1	1	yes	characteristic
270	C₁₃×#125	C₂³	1	1	yes	characteristic
271	C₁₃×#125	C₂³	1	1	yes	characteristic
272	C₁₃×#124	—	2	1	no	—
273	C₁₃×#124	—	2	1	no	—
274	C₁₃×#124	—	2	1	no	—
275	C₁₃×#124	—	2	1	no	—
276	C₁₃×#124	—	2	1	no	—
277	C₁₃×#124	—	2	1	no	—
278	C₁₃×#124	—	2	1	no	—
279	C₁₃×#124	D₄	1	1	yes	characteristic
280	C₁₃×#124	C₂³	1	1	yes	characteristic
281	C₁₃×#124	C₂³	1	1	yes	characteristic
282	C₁₃×#124	C₂³	1	1	yes	characteristic
283	C₁₃×#123	—	2	1	no	—
284	C₁₃×#123	—	2	1	no	—
285	C₁₃×#123	—	2	1	no	—
286	C₁₃×#123	—	2	1	no	—
287	C₁₃×#123	—	2	1	no	—
288	C₁₃×#123	—	2	1	no	—
289	C₁₃×#123	—	2	1	no	—
290	C₁₃×#123	—	2	1	no	—
291	C₁₃×#123	—	2	1	no	—
292	C₁₃×#123	—	2	1	no	—
293	C₁₃×#123	—	2	1	no	—
294	C₁₃×#123	—	2	1	no	—
295	C₁₃×#123	—	2	1	no	—
296	C₁₃×#123	D₄	1	1	yes	characteristic
297	C₁₃×#123	D₄	1	1	yes	characteristic
298	C₁₃×C₂²⋊Q₈	—	2	1	no	—
299	C₁₃×C₂²⋊Q₈	—	2	1	no	—
300	C₁₃×C₂²⋊Q₈	—	2	1	no	—
301	C₁₃×C₂²⋊Q₈	—	2	1	no	—
302	C₁₃×C₂²⋊Q₈	—	2	1	no	—
303	C₁₃×C₂²⋊Q₈	—	2	1	no	—
304	C₁₃×C₂²⋊Q₈	—	2	1	no	—
305	C₁₃×C₂²⋊Q₈	—	2	1	no	—
306	C₁₃×C₂²⋊Q₈	—	2	1	no	—
307	C₁₃×C₂²⋊Q₈	—	2	1	no	—
308	C₁₃×C₂²⋊Q₈	—	2	1	no	—
309	C₁₃×C₂²⋊Q₈	—	2	1	no	—
310	C₁₃×C₂²⋊Q₈	—	2	1	no	—
311	C₁₃×C₂²⋊Q₈	—	2	1	no	—
312	C₁₃×C₂²⋊Q₈	—	2	1	no	—
313	C₁₃×C₂²⋊Q₈	—	2	1	no	—
314	C₁₃×C₂²⋊Q₈	—	2	1	no	—
315	C₁₃×C₂²⋊Q₈	—	2	1	no	—
316	C₁₃×C₂²⋊Q₈	—	2	1	no	—
317	C₁₃×C₂²⋊Q₈	—	2	1	no	—
318	C₁₃×C₂²⋊Q₈	—	2	1	no	—
319	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
320	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
323	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
324	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
327	C₁₃×#121	—	2	1	no	—
328	C₁₃×#121	—	2	1	no	—
329	C₁₃×#121	—	2	1	no	—
330	C₁₃×#121	—	2	1	no	—
331	C₁₃×#121	D₄	1	1	yes	characteristic
332	C₁₃×#121	C₂³	1	1	yes	characteristic
333	C₁₃×#121	C₂³	1	1	yes	characteristic
334	C₁₃×#121	C₂³	1	1	yes	characteristic
335	C₁₃×#121	C₂³	1	1	yes	characteristic
336	C₁₃×#121	C₂³	1	1	yes	characteristic
337	C₄×Q₈×C₁₃	—	2	1	no	—
338	C₄×Q₈×C₁₃	—	2	1	no	—
339	C₄×Q₈×C₁₃	—	2	1	no	—
340	C₄×Q₈×C₁₃	—	2	1	no	—
341	C₄×Q₈×C₁₃	—	2	1	no	—
342	C₄×Q₈×C₁₃	—	2	1	no	—
343	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
355	C₄×D₄×C₁₃	—	2	1	no	—
356	C₄×D₄×C₁₃	—	2	1	no	—
357	C₄×D₄×C₁₃	—	2	1	no	—
358	C₄×D₄×C₁₃	—	2	1	no	—
359	C₄×D₄×C₁₃	—	2	1	no	—
360	C₄×D₄×C₁₃	—	2	1	no	—
361	C₄×D₄×C₁₃	—	2	1	no	—
362	C₄×D₄×C₁₃	—	2	1	no	—
363	C₄×D₄×C₁₃	—	2	1	no	—
364	C₄×D₄×C₁₃	—	2	1	no	—
365	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
373	C₁₃×#117	—	2	1	no	—
374	C₁₃×#117	—	2	1	no	—
375	C₁₃×#117	—	2	1	no	—
376	C₁₃×#117	—	2	1	no	—
377	C₁₃×#117	—	2	1	no	—
378	C₁₃×#117	—	2	1	no	—
379	C₁₃×#117	—	2	1	no	—
380	C₁₃×#117	—	2	1	no	—
381	C₁₃×#117	—	2	1	no	—
382	C₁₃×#117	—	2	1	no	—
383	C₁₃×#117	C₂³	1	1	yes	characteristic
384	C₁₃×#117	C₂³	1	1	yes	characteristic
385	C₁₃×#117	C₂³	1	1	yes	characteristic
386	C₁₃×#117	C₂³	1	1	yes	characteristic
387	C₁₃×#117	C₂³	1	1	yes	characteristic
388	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
391	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
393	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
394	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
395	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
396	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×C₄²×C₁₃	—	2	1	no	—
399	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
400	C₁₃×#107	C₂³	1	1	yes	characteristic
401	C₁₃×#107	C₂³	1	1	yes	characteristic
402	C₁₃×#107	C₂³	1	1	yes	characteristic
403	C₁₃×#107	C₂³	1	1	yes	characteristic
404	C₁₃×#107	C₂³	1	1	yes	characteristic
405	C₁₃×#107	C₂³	1	1	yes	characteristic
406	C₁₃×#107	C₂³	1	1	yes	characteristic
407	C₁₃×#107	C₂³	1	1	yes	characteristic
408	C₁₃×#106	C₂³	1	1	yes	characteristic
409	C₁₃×#106	C₂³	1	1	yes	characteristic
410	C₁₃×#106	C₂³	1	1	yes	characteristic
411	C₁₃×#106	C₂³	1	1	yes	characteristic
412	C₁₃×#106	C₂³	1	1	yes	characteristic
413	C₁₃×#106	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#106	C₂³	1	1	yes	characteristic
416	C₁₃×#106	C₂³	1	1	yes	characteristic
417	C₁₃×#106	C₂³	1	1	yes	characteristic
418	C₁₃×#106	C₂³	1	1	yes	characteristic
419	C₁₃×#106	C₂³	1	1	yes	characteristic
420	C₁₃×#106	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×#106	C₂³	1	1	yes	characteristic
423	C₁₃×#106	C₂³	1	1	yes	characteristic
424	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#103	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×#103	C₂³	1	1	yes	characteristic
445	C₁₃×#103	C₂³	1	1	yes	characteristic
446	C₁₃×#103	C₂³	1	1	yes	characteristic
447	C₁₃×#103	C₂³	1	1	yes	characteristic
448	C₁₃×#103	C₂³	1	1	yes	characteristic
449	C₁₃×#103	C₂³	1	1	yes	characteristic
450	C₁₃×#103	C₂³	1	1	yes	characteristic
451	C₁₃×#103	C₂³	1	1	yes	characteristic
452	C₁₃×#103	C₂³	1	1	yes	characteristic
453	C₁₃×#103	C₂³	1	1	yes	characteristic
454	C₁₃×#103	C₂³	1	1	yes	characteristic
455	C₁₃×#103	C₂³	1	1	yes	characteristic
456	C₁₃×#102	C₂³	1	1	yes	characteristic
457	C₁₃×#102	C₂³	1	1	yes	characteristic
458	C₁₃×#102	C₂³	1	1	yes	characteristic
459	C₁₃×#102	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×#102	C₂³	1	1	yes	characteristic
463	C₁₃×#102	C₂³	1	1	yes	characteristic
464	C₁₃×#102	C₂³	1	1	yes	characteristic
465	C₁₃×#102	C₂³	1	1	yes	characteristic
466	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
472	C₁₃×#97	C₂³	1	1	yes	characteristic
473	C₁₃×#97	C₂³	1	1	yes	characteristic
474	C₁₃×#97	C₂³	1	1	yes	characteristic
475	C₁₃×#97	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	#62157	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₁₃×#41	—	2	2	no	—
480	C₁₃×#41	—	4	1	no	—
481	C₁₃×#41	—	8	2	no	—
482	C₁₃×#41	—	8	2	no	—
483	C₂×Q₈×C₁₃	—	2	1	no	—
484	C₂×Q₈×C₁₃	—	2	1	no	—
485	C₂×Q₈×C₁₃	—	2	1	no	—
486	C₂×Q₈×C₁₃	—	2	1	no	—
487	C₂×Q₈×C₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	—	2	1	no	—
490	C₂×Q₈×C₁₃	—	2	1	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	—	2	2	no	—
493	C₂×Q₈×C₁₃	—	2	2	no	—
494	C₂×Q₈×C₁₃	—	4	1	no	—
495	C₂×Q₈×C₁₃	—	4	1	no	—
496	C₂×Q₈×C₁₃	—	8	2	no	—
497	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
511	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	—	2	1	no	—
525	C₂²×C₄×C₁₃	—	2	1	no	—
526	C₂²×C₄×C₁₃	—	2	1	no	—
527	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₁₃×Q₁₆	—	2	2	no	—
533	C₁₃×Q₁₆	—	4	1	no	—
534	C₁₃×Q₁₆	—	4	1	no	—
535	C₁₃×SD₁₆	—	2	2	no	—
536	C₁₃×SD₁₆	—	4	1	no	—
537	C₁₃×SD₁₆	—	4	1	no	—
538	C₁₃×SD₁₆	—	4	1	no	—
539	C₁₃×D₈	—	4	1	no	—
540	C₁₃×M₁₆	—	4	1	no	—
541	C₁₃×M₁₆	—	4	1	no	—
542	C₂×C₈×C₁₃	—	4	1	no	—
543	C₂×C₈×C₁₃	—	4	1	no	—
544	C₂×C₈×C₁₃	—	4	1	no	—
545	C₂×C₈×C₁₃	—	4	1	no	—
546	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
547	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
548	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
549	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₁₃×C₄⋊C₄	—	2	1	no	—
555	C₁₃×C₄⋊C₄	—	2	1	no	—
556	C₁₃×C₄⋊C₄	—	2	1	no	—
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
562	C₁₃×C₄⋊C₄	—	2	1	no	—
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	—	2	1	no	—
569	C₁₃×C₄⋊C₄	—	2	1	no	—
570	C₁₃×C₄⋊C₄	—	2	1	no	—
571	C₁₃×C₄⋊C₄	—	2	1	no	—
572	C₁₃×C₄⋊C₄	—	2	1	no	—
573	C₁₃×C₄⋊C₄	—	2	1	no	—
574	C₁₃×C₄⋊C₄	—	2	1	no	—
575	C₁₃×C₄⋊C₄	—	2	1	no	—
576	C₁₃×C₄⋊C₄	—	2	1	no	—
577	C₁₃×C₄⋊C₄	—	2	1	no	—
578	C₁₃×C₄⋊C₄	—	2	1	no	—
579	C₁₃×C₄⋊C₄	—	2	1	no	—
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	—	2	1	no	—
584	C₁₃×C₄⋊C₄	—	2	1	no	—
585	C₁₃×C₄⋊C₄	—	2	1	no	—
586	C₁₃×C₄⋊C₄	—	2	1	no	—
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	—	2	1	no	—
589	C₁₃×C₄⋊C₄	—	2	1	no	—
590	C₁₃×C₄⋊C₄	—	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	C₂×D₄	1	1	yes	characteristic
598	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₄²×C₁₃	—	2	1	no	—
654	C₄²×C₁₃	—	2	1	no	—
655	C₄²×C₁₃	—	2	1	no	—
656	C₄²×C₁₃	—	2	1	no	—
657	C₄²×C₁₃	—	2	1	no	—
658	C₄²×C₁₃	—	2	1	no	—
659	C₄²×C₁₃	—	2	1	no	—
660	C₄²×C₁₃	—	2	1	no	—
661	C₄²×C₁₃	—	2	1	no	—
662	C₄²×C₁₃	—	2	1	no	—
663	C₄²×C₁₃	—	2	1	no	—
664	C₄²×C₁₃	—	2	1	no	—
665	C₄²×C₁₃	—	2	1	no	—
666	C₄²×C₁₃	—	2	1	no	—
667	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
669	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
670	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
671	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
672	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
673	#3544	C₂×C₁₃	1	1	yes	characteristic, complemented
674	#3516	C₂×C₁₃	1	1	yes	characteristic, complemented
675	#3388	C₂×C₁₃	1	1	yes	characteristic, complemented
676	#3387	C₂×C₁₃	1	1	yes	characteristic, complemented
677	#3376	C₂×C₁₃	1	1	yes	characteristic, complemented
678	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
679	#3348	C₂×C₁₃	1	1	yes	characteristic, complemented
680	#3345	C₂×C₁₃	1	1	yes	characteristic, complemented
681	#3344	C₂×C₁₃	1	1	yes	characteristic, complemented
682	#3344	C₂×C₁₃	1	1	yes	characteristic, complemented
683	#3337	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3335	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3321	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3316	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3312	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3308	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3300	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3298	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3263	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3258	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3250	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3244	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3242	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3238	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3125	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3121	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3117	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3084	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
702	C₂×#475	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#2992	C₂×C₁₃	1	1	yes	characteristic, complemented
704	C₂³×C₁₃	—	2	1	no	—
705	C₂³×C₁₃	—	2	1	no	—
706	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
707	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
708	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
709	Q₈×C₁₃	—	2	1	no	—
710	Q₈×C₁₃	—	2	1	no	—
711	Q₈×C₁₃	—	2	1	no	—
712	Q₈×C₁₃	—	2	1	no	—
713	Q₈×C₁₃	—	2	1	no	—
714	Q₈×C₁₃	—	2	1	no	—
715	Q₈×C₁₃	—	2	1	no	—
716	Q₈×C₁₃	—	4	1	no	—
717	Q₈×C₁₃	—	4	2	no	—
718	Q₈×C₁₃	—	4	2	no	—
719	Q₈×C₁₃	—	8	1	no	—
720	Q₈×C₁₃	—	8	1	no	—
721	Q₈×C₁₃	—	8	1	no	—
722	Q₈×C₁₃	—	8	1	no	—
723	Q₈×C₁₃	—	8	1	no	—
724	Q₈×C₁₃	—	8	1	no	—
725	Q₈×C₁₃	—	8	1	no	—
726	Q₈×C₁₃	2₋¹⁺⁴	1	2	yes	—
727	D₄×C₁₃	—	2	2	no	—
728	D₄×C₁₃	—	2	2	no	—
729	D₄×C₁₃	—	2	1	no	—
730	D₄×C₁₃	—	2	1	no	—
731	D₄×C₁₃	—	2	1	no	—
732	D₄×C₁₃	—	2	1	no	—
733	D₄×C₁₃	—	4	1	no	—
734	D₄×C₁₃	—	4	2	no	—
735	D₄×C₁₃	—	4	2	no	—
736	D₄×C₁₃	—	4	2	no	—
737	D₄×C₁₃	—	8	1	no	—
738	D₄×C₁₃	—	8	1	no	—
739	D₄×C₁₃	—	8	1	no	—
740	C₂×C₄×C₁₃	—	2	2	no	—
741	C₂×C₄×C₁₃	—	2	1	no	—
742	C₂×C₄×C₁₃	—	2	1	no	—
743	C₂×C₄×C₁₃	—	2	1	no	—
744	C₂×C₄×C₁₃	—	2	1	no	—
745	C₂×C₄×C₁₃	—	2	1	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	2	1	no	—
748	C₂×C₄×C₁₃	—	2	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	2	1	no	—
751	C₂×C₄×C₁₃	—	2	1	no	—
752	C₂×C₄×C₁₃	—	2	1	no	—
753	C₂×C₄×C₁₃	—	2	1	no	—
754	C₂×C₄×C₁₃	—	2	1	no	—
755	C₂×C₄×C₁₃	—	2	1	no	—
756	C₂×C₄×C₁₃	—	2	1	no	—
757	C₂×C₄×C₁₃	—	2	1	no	—
758	C₂×C₄×C₁₃	—	2	1	no	—
759	C₂×C₄×C₁₃	—	2	1	no	—
760	C₂×C₄×C₁₃	—	2	1	no	—
761	C₂×C₄×C₁₃	—	4	1	no	—
762	C₂×C₄×C₁₃	—	4	2	no	—
763	C₂×C₄×C₁₃	—	4	2	no	—
764	C₂×C₄×C₁₃	—	4	2	no	—
765	C₂×C₄×C₁₃	—	4	2	no	—
766	C₂×C₄×C₁₃	—	4	2	no	—
767	C₂×C₄×C₁₃	—	4	2	no	—
768	C₂×C₄×C₁₃	—	8	1	no	—
769	C₂×C₄×C₁₃	—	8	1	no	—
770	C₂×C₄×C₁₃	—	8	1	no	—
771	C₂×C₄×C₁₃	—	8	1	no	—
772	C₂×C₄×C₁₃	—	8	1	no	—
773	C₂×C₄×C₁₃	—	8	1	no	—
774	C₂×C₄×C₁₃	—	8	1	no	—
775	C₂×C₄×C₁₃	—	8	1	no	—
776	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
788	C₈×C₁₃	—	2	1	no	—
789	C₈×C₁₃	—	2	1	no	—
790	C₈×C₁₃	—	2	1	no	—
791	C₈×C₁₃	—	2	1	no	—
792	C₈×C₁₃	—	2	1	no	—
793	C₈×C₁₃	—	2	1	no	—
794	C₈×C₁₃	—	2	1	no	—
795	C₈×C₁₃	—	2	1	no	—
796	#563	—	2	1	no	—
797	#563	—	2	1	no	—
798	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
799	#557	C₂²×C₁₃	1	1	yes	characteristic
800	#556	—	2	1	no	—
801	#556	C₂²×C₁₃	1	1	yes	characteristic
802	#555	C₂²×C₁₃	1	1	yes	characteristic
803	#554	—	2	1	no	—
804	#554	C₂²×C₁₃	1	1	yes	characteristic
805	#554	C₂²×C₁₃	1	1	yes	characteristic
806	#554	C₂²×C₁₃	1	1	yes	characteristic
807	#553	—	2	1	no	—
808	#553	C₂²×C₁₃	1	1	yes	characteristic
809	#552	—	2	1	no	—
810	#552	—	2	1	no	—
811	#552	C₂²×C₁₃	1	1	yes	characteristic
812	#552	C₂²×C₁₃	1	1	yes	characteristic
813	#552	C₂²×C₁₃	1	1	yes	characteristic
814	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
815	#548	C₂²×C₁₃	1	1	yes	characteristic
816	#548	C₂²×C₁₃	1	1	yes	characteristic
817	#547	—	2	1	no	—
818	#547	C₂²×C₁₃	1	1	yes	characteristic
819	#547	C₂²×C₁₃	1	1	yes	characteristic
820	#544	—	2	1	no	—
821	#544	C₂²×C₁₃	1	1	yes	characteristic
822	#544	C₂²×C₁₃	1	1	yes	characteristic
823	#542	—	2	1	no	—
824	#542	—	2	1	no	—
825	#542	C₂²×C₁₃	1	1	yes	characteristic
826	#542	C₂²×C₁₃	1	1	yes	characteristic
827	#542	C₂²×C₁₃	1	1	yes	characteristic
828	#541	—	2	1	no	—
829	#541	C₂²×C₁₃	1	1	yes	characteristic
830	#536	—	2	1	no	—
831	#536	—	2	1	no	—
832	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
833	#529	—	2	1	no	—
834	#529	—	2	1	no	—
835	#529	C₂²×C₁₃	1	1	yes	characteristic
836	#529	C₂²×C₁₃	1	1	yes	characteristic
837	#529	C₂²×C₁₃	1	1	yes	characteristic
838	#520	C₂²×C₁₃	1	1	yes	characteristic
839	#519	C₂²×C₁₃	1	1	yes	characteristic
840	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
841	#501	C₂²×C₁₃	1	1	yes	characteristic
842	#501	C₂²×C₁₃	1	1	yes	characteristic
843	#501	C₂²×C₁₃	1	1	yes	characteristic
844	#501	C₂²×C₁₃	1	1	yes	characteristic
845	#499	C₂²×C₁₃	1	1	yes	characteristic
846	#498	C₂²×C₁₃	1	1	yes	characteristic
847	#491	C₂²×C₁₃	1	1	yes	characteristic
848	#489	C₂²×C₁₃	1	1	yes	characteristic
849	#489	C₂²×C₁₃	1	1	yes	characteristic
850	#489	C₂²×C₁₃	1	1	yes	characteristic
851	#488	C₂²×C₁₃	1	1	yes	characteristic
852	#487	C₂²×C₁₃	1	1	yes	characteristic
853	#485	C₂²×C₁₃	1	1	yes	characteristic
854	#485	C₂²×C₁₃	1	1	yes	characteristic
855	#485	C₂²×C₁₃	1	1	yes	characteristic
856	#485	C₂²×C₁₃	1	1	yes	characteristic
857	#484	C₂²×C₁₃	1	1	yes	characteristic
858	#484	C₂²×C₁₃	1	1	yes	characteristic
859	#483	C₂²×C₁₃	1	1	yes	characteristic
860	#483	C₂²×C₁₃	1	1	yes	characteristic
861	#483	C₂²×C₁₃	1	1	yes	characteristic
862	#483	C₂²×C₁₃	1	1	yes	characteristic
863	#483	C₂²×C₁₃	1	1	yes	characteristic
864	#482	C₂²×C₁₃	1	1	yes	characteristic
865	#482	C₂²×C₁₃	1	1	yes	characteristic
866	#481	C₂²×C₁₃	1	1	yes	characteristic
867	#481	C₂²×C₁₃	1	1	yes	characteristic
868	#481	C₂²×C₁₃	1	1	yes	characteristic
869	#480	C₂²×C₁₃	1	1	yes	characteristic
870	#480	C₂²×C₁₃	1	1	yes	characteristic
871	#479	C₂²×C₁₃	1	1	yes	characteristic
872	#479	C₂²×C₁₃	1	1	yes	characteristic
873	#479	C₂²×C₁₃	1	1	yes	characteristic
874	#479	C₂²×C₁₃	1	1	yes	characteristic
875	#479	C₂²×C₁₃	1	1	yes	characteristic
876	#479	C₂²×C₁₃	1	1	yes	characteristic
877	#479	C₂²×C₁₃	1	1	yes	characteristic
878	#479	C₂²×C₁₃	1	1	yes	characteristic
879	#478	C₂²×C₁₃	1	1	yes	characteristic
880	#478	C₂²×C₁₃	1	1	yes	characteristic
881	#478	C₂²×C₁₃	1	1	yes	characteristic
882	#478	C₂²×C₁₃	1	1	yes	characteristic
883	#477	C₂²×C₁₃	1	1	yes	characteristic
884	#477	C₂²×C₁₃	1	1	yes	characteristic
885	#477	C₂²×C₁₃	1	1	yes	characteristic
886	#476	C₂²×C₁₃	1	1	yes	characteristic
887	#476	C₂²×C₁₃	1	1	yes	characteristic
888	#476	C₂²×C₁₃	1	1	yes	characteristic
889	#476	C₂²×C₁₃	1	1	yes	characteristic
890	#475	C₂²×C₁₃	1	1	yes	characteristic
891	#475	C₂²×C₁₃	1	1	yes	characteristic
892	#475	C₂²×C₁₃	1	1	yes	characteristic
893	#475	C₂²×C₁₃	1	1	yes	characteristic
894	#475	C₂²×C₁₃	1	1	yes	characteristic
895	#475	C₂²×C₁₃	1	1	yes	characteristic
896	#475	C₂²×C₁₃	1	1	yes	characteristic
897	#475	C₂²×C₁₃	1	1	yes	characteristic
898	#475	C₂²×C₁₃	1	1	yes	characteristic
899	#475	C₂²×C₁₃	1	1	yes	characteristic
900	#475	C₂²×C₁₃	1	1	yes	characteristic
901	#470	C₂²×C₁₃	1	1	yes	characteristic
902	#470	C₂²×C₁₃	1	1	yes	characteristic
903	#469	C₂²×C₁₃	1	1	yes	characteristic
904	#468	C₂²×C₁₃	1	1	yes	characteristic
905	#467	C₂²×C₁₃	1	1	yes	characteristic
906	#467	C₂²×C₁₃	1	1	yes	characteristic
907	#466	C₂²×C₁₃	1	1	yes	characteristic
908	#465	C₂²×C₁₃	1	1	yes	characteristic
909	#465	C₂²×C₁₃	1	1	yes	characteristic
910	#465	C₂²×C₁₃	1	1	yes	characteristic
911	#465	C₂²×C₁₃	1	1	yes	characteristic
912	#465	C₂²×C₁₃	1	1	yes	characteristic
913	#464	C₂²×C₁₃	1	1	yes	characteristic
914	#464	C₂²×C₁₃	1	1	yes	characteristic
915	#464	C₂²×C₁₃	1	1	yes	characteristic
916	#464	C₂²×C₁₃	1	1	yes	characteristic
917	#464	C₂²×C₁₃	1	1	yes	characteristic
918	#463	C₂²×C₁₃	1	1	yes	characteristic
919	#463	C₂²×C₁₃	1	1	yes	characteristic
920	#463	C₂²×C₁₃	1	1	yes	characteristic
921	#462	C₂²×C₁₃	1	1	yes	characteristic
922	#461	C₂²×C₁₃	1	1	yes	characteristic
923	#452	C₂²×C₁₃	1	1	yes	characteristic
924	#451	C₂²×C₁₃	1	1	yes	characteristic
925	#451	C₂²×C₁₃	1	1	yes	characteristic
926	#449	C₂²×C₁₃	1	1	yes	characteristic
927	#448	C₂²×C₁₃	1	1	yes	characteristic
928	#448	C₂²×C₁₃	1	1	yes	characteristic
929	#446	C₂²×C₁₃	1	1	yes	characteristic
930	#446	C₂²×C₁₃	1	1	yes	characteristic
931	#442	C₂²×C₁₃	1	1	yes	characteristic
932	#441	C₂²×C₁₃	1	1	yes	characteristic
933	#441	C₂²×C₁₃	1	1	yes	characteristic
934	#441	C₂²×C₁₃	1	1	yes	characteristic
935	#441	C₂²×C₁₃	1	1	yes	characteristic
936	#440	C₂²×C₁₃	1	1	yes	characteristic
937	#440	C₂²×C₁₃	1	1	yes	characteristic
938	#440	C₂²×C₁₃	1	1	yes	characteristic
939	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
940	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
941	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
942	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
943	#435	C₂²×C₁₃	1	1	yes	characteristic
944	#435	C₂²×C₁₃	1	1	yes	characteristic
945	#435	C₂²×C₁₃	1	1	yes	characteristic
946	#435	C₂²×C₁₃	1	1	yes	characteristic
947	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
948	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
949	#433	C₂²×C₁₃	1	1	yes	characteristic
950	#433	C₂²×C₁₃	1	1	yes	characteristic
951	#432	C₂²×C₁₃	1	1	yes	characteristic
952	#428	C₂²×C₁₃	1	1	yes	characteristic
953	#428	C₂²×C₁₃	1	1	yes	characteristic
954	#427	C₂²×C₁₃	1	1	yes	characteristic
955	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
956	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
957	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
958	#424	C₂²×C₁₃	1	1	yes	characteristic
959	#424	C₂²×C₁₃	1	1	yes	characteristic
960	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
961	#419	C₂²×C₁₃	1	1	yes	characteristic
962	#417	C₂²×C₁₃	1	1	yes	characteristic
963	#416	C₂²×C₁₃	1	1	yes	characteristic
964	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
965	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
966	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
967	C₂²×C₁₃	—	2	1	no	—
968	C₂²×C₁₃	—	2	1	no	—
969	C₂²×C₁₃	—	2	1	no	—
970	C₂²×C₁₃	—	2	1	no	—
971	C₂²×C₁₃	—	2	1	no	—
972	C₂²×C₁₃	—	2	1	no	—
973	C₂²×C₁₃	—	2	1	no	—
974	C₂²×C₁₃	—	2	1	no	—
975	C₂²×C₁₃	—	4	1	no	—
976	C₂²×C₁₃	—	4	1	no	—
977	C₂²×C₁₃	—	4	1	no	—
978	C₂²×C₁₃	—	4	1	no	—
979	C₂²×C₁₃	—	4	1	no	—
980	C₂²×C₁₃	—	4	1	no	—
981	C₂²×C₁₃	#577	1	2	yes	—
982	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
983	C₄×C₁₃	—	2	1	no	—
984	C₄×C₁₃	—	2	1	no	—
985	C₄×C₁₃	—	2	1	no	—
986	C₄×C₁₃	—	2	1	no	—
987	C₄×C₁₃	—	2	1	no	—
988	C₄×C₁₃	—	2	1	no	—
989	C₄×C₁₃	—	2	1	no	—
990	C₄×C₁₃	—	2	2	no	—
991	C₄×C₁₃	—	2	1	no	—
992	C₄×C₁₃	—	2	1	no	—
993	C₄×C₁₃	—	2	1	no	—
994	C₄×C₁₃	—	2	1	no	—
995	C₄×C₁₃	—	4	1	no	—
996	C₄×C₁₃	—	4	1	no	—
997	C₄×C₁₃	—	4	1	no	—
998	C₄×C₁₃	—	4	1	no	—
999	C₄×C₁₃	—	4	1	no	—
1000	C₄×C₁₃	—	4	1	no	—
1001	C₄×C₁₃	—	4	1	no	—
1002	C₄×C₁₃	—	4	1	no	—
1003	C₄×C₁₃	—	4	1	no	—
1004	C₄×C₁₃	—	4	1	no	—
1005	C₄×C₁₃	—	4	1	no	—
1006	C₄×C₁₃	—	4	1	no	—
1007	C₄×C₁₃	—	4	1	no	—
1008	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1009	C₄×C₁₃	#585	1	1	yes	characteristic
1010	C₂×#41	—	2	1	no	—
1011	C₂×#41	—	2	1	no	—
1012	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂²×Q₈	—	2	1	no	—
1014	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1015	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1016	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1017	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1018	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1019	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1020	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1021	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1022	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1023	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1024	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1025	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1026	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1028	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1030	C₄⋊Q₈	—	2	1	no	—
1031	C₄⋊Q₈	—	2	1	no	—
1032	C₄⋊Q₈	—	2	1	no	—
1033	C₄⋊Q₈	—	2	1	no	—
1034	C₄⋊Q₈	—	2	1	no	—
1035	C₄⋊Q₈	—	2	1	no	—
1036	C₄⋊Q₈	—	2	1	no	—
1037	C₄⋊Q₈	—	2	1	no	—
1038	C₄⋊Q₈	—	2	1	no	—
1039	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1040	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1041	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1042	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1043	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1044	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1045	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1046	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1047	#126	—	2	1	no	—
1048	#126	—	2	1	no	—
1049	#126	—	2	1	no	—
1050	#126	—	2	1	no	—
1051	#126	—	2	1	no	—
1052	#126	—	2	1	no	—
1053	#126	—	2	1	no	—
1054	#126	—	2	1	no	—
1055	#126	—	2	1	no	—
1056	#126	—	2	1	no	—
1057	#126	—	2	1	no	—
1058	#126	—	2	1	no	—
1059	#126	—	2	1	no	—
1060	#126	D₄×C₁₃	1	1	yes	characteristic
1061	#126	D₄×C₁₃	1	1	yes	characteristic
1062	#125	—	2	1	no	—
1063	#125	—	2	1	no	—
1064	#125	—	2	1	no	—
1065	#125	—	2	1	no	—
1066	#125	—	2	1	no	—
1067	#125	—	2	1	no	—
1068	#125	—	2	1	no	—
1069	#125	—	2	1	no	—
1070	#125	—	2	1	no	—
1071	#125	—	2	1	no	—
1072	#125	—	2	1	no	—
1073	#125	D₄×C₁₃	1	1	yes	characteristic
1074	#125	C₂³×C₁₃	1	1	yes	characteristic
1075	#125	C₂³×C₁₃	1	1	yes	characteristic
1076	#125	C₂³×C₁₃	1	1	yes	characteristic
1077	#125	C₂³×C₁₃	1	1	yes	characteristic
1078	#125	C₂³×C₁₃	1	1	yes	characteristic
1079	#124	—	2	1	no	—
1080	#124	—	2	1	no	—
1081	#124	—	2	1	no	—
1082	#124	—	2	1	no	—
1083	#124	—	2	1	no	—
1084	#124	—	2	1	no	—
1085	#124	—	2	1	no	—
1086	#124	D₄×C₁₃	1	1	yes	characteristic
1087	#124	C₂³×C₁₃	1	1	yes	characteristic
1088	#124	C₂³×C₁₃	1	1	yes	characteristic
1089	#124	C₂³×C₁₃	1	1	yes	characteristic
1090	#123	—	2	1	no	—
1091	#123	—	2	1	no	—
1092	#123	—	2	1	no	—
1093	#123	—	2	1	no	—
1094	#123	—	2	1	no	—
1095	#123	—	2	1	no	—
1096	#123	—	2	1	no	—
1097	#123	—	2	1	no	—
1098	#123	—	2	1	no	—
1099	#123	—	2	1	no	—
1100	#123	—	2	1	no	—
1101	#123	—	2	1	no	—
1102	#123	—	2	1	no	—
1103	#123	D₄×C₁₃	1	1	yes	characteristic
1104	#123	D₄×C₁₃	1	1	yes	characteristic
1105	C₂²⋊Q₈	—	2	1	no	—
1106	C₂²⋊Q₈	—	2	1	no	—
1107	C₂²⋊Q₈	—	2	1	no	—
1108	C₂²⋊Q₈	—	2	1	no	—
1109	C₂²⋊Q₈	—	2	1	no	—
1110	C₂²⋊Q₈	—	2	1	no	—
1111	C₂²⋊Q₈	—	2	1	no	—
1112	C₂²⋊Q₈	—	2	1	no	—
1113	C₂²⋊Q₈	—	2	1	no	—
1114	C₂²⋊Q₈	—	2	1	no	—
1115	C₂²⋊Q₈	—	2	1	no	—
1116	C₂²⋊Q₈	—	2	1	no	—
1117	C₂²⋊Q₈	—	2	1	no	—
1118	C₂²⋊Q₈	—	2	1	no	—
1119	C₂²⋊Q₈	—	2	1	no	—
1120	C₂²⋊Q₈	—	2	1	no	—
1121	C₂²⋊Q₈	—	2	1	no	—
1122	C₂²⋊Q₈	—	2	1	no	—
1123	C₂²⋊Q₈	—	2	1	no	—
1124	C₂²⋊Q₈	—	2	1	no	—
1125	C₂²⋊Q₈	—	2	1	no	—
1126	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1127	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1128	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1129	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1130	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1131	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1132	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1133	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1134	#121	—	2	1	no	—
1135	#121	—	2	1	no	—
1136	#121	—	2	1	no	—
1137	#121	—	2	1	no	—
1138	#121	D₄×C₁₃	1	1	yes	characteristic
1139	#121	C₂³×C₁₃	1	1	yes	characteristic
1140	#121	C₂³×C₁₃	1	1	yes	characteristic
1141	#121	C₂³×C₁₃	1	1	yes	characteristic
1142	#121	C₂³×C₁₃	1	1	yes	characteristic
1143	#121	C₂³×C₁₃	1	1	yes	characteristic
1144	C₄×Q₈	—	2	1	no	—
1145	C₄×Q₈	—	2	1	no	—
1146	C₄×Q₈	—	2	1	no	—
1147	C₄×Q₈	—	2	1	no	—
1148	C₄×Q₈	—	2	1	no	—
1149	C₄×Q₈	—	2	1	no	—
1150	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1151	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1152	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1153	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1154	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1155	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1156	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1157	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1158	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1159	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1160	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1161	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1162	C₄×D₄	—	2	1	no	—
1163	C₄×D₄	—	2	1	no	—
1164	C₄×D₄	—	2	1	no	—
1165	C₄×D₄	—	2	1	no	—
1166	C₄×D₄	—	2	1	no	—
1167	C₄×D₄	—	2	1	no	—
1168	C₄×D₄	—	2	1	no	—
1169	C₄×D₄	—	2	1	no	—
1170	C₄×D₄	—	2	1	no	—
1171	C₄×D₄	—	2	1	no	—
1172	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1173	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1174	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1175	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1176	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1177	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1178	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1179	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1180	#117	—	2	1	no	—
1181	#117	—	2	1	no	—
1182	#117	—	2	1	no	—
1183	#117	—	2	1	no	—
1184	#117	—	2	1	no	—
1185	#117	—	2	1	no	—
1186	#117	—	2	1	no	—
1187	#117	—	2	1	no	—
1188	#117	—	2	1	no	—
1189	#117	—	2	1	no	—
1190	#117	C₂³×C₁₃	1	1	yes	characteristic
1191	#117	C₂³×C₁₃	1	1	yes	characteristic
1192	#117	C₂³×C₁₃	1	1	yes	characteristic
1193	#117	C₂³×C₁₃	1	1	yes	characteristic
1194	#117	C₂³×C₁₃	1	1	yes	characteristic
1195	C₂×C₄⋊C₄	—	2	1	no	—
1196	C₂×C₄⋊C₄	—	2	1	no	—
1197	C₂×C₄⋊C₄	—	2	1	no	—
1198	C₂×C₄⋊C₄	—	2	1	no	—
1199	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1200	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1201	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1202	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1203	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1204	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1205	C₂×C₄²	—	2	1	no	—
1206	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1207	#107	C₂³×C₁₃	1	1	yes	characteristic
1208	#107	C₂³×C₁₃	1	1	yes	characteristic
1209	#107	C₂³×C₁₃	1	1	yes	characteristic
1210	#107	C₂³×C₁₃	1	1	yes	characteristic
1211	#107	C₂³×C₁₃	1	1	yes	characteristic
1212	#107	C₂³×C₁₃	1	1	yes	characteristic
1213	#107	C₂³×C₁₃	1	1	yes	characteristic
1214	#107	C₂³×C₁₃	1	1	yes	characteristic
1215	#106	C₂³×C₁₃	1	1	yes	characteristic
1216	#106	C₂³×C₁₃	1	1	yes	characteristic
1217	#106	C₂³×C₁₃	1	1	yes	characteristic
1218	#106	C₂³×C₁₃	1	1	yes	characteristic
1219	#106	C₂³×C₁₃	1	1	yes	characteristic
1220	#106	C₂³×C₁₃	1	1	yes	characteristic
1221	#106	C₂³×C₁₃	1	1	yes	characteristic
1222	#106	C₂³×C₁₃	1	1	yes	characteristic
1223	#106	C₂³×C₁₃	1	1	yes	characteristic
1224	#106	C₂³×C₁₃	1	1	yes	characteristic
1225	#106	C₂³×C₁₃	1	1	yes	characteristic
1226	#106	C₂³×C₁₃	1	1	yes	characteristic
1227	#106	C₂³×C₁₃	1	1	yes	characteristic
1228	#106	C₂³×C₁₃	1	1	yes	characteristic
1229	#106	C₂³×C₁₃	1	1	yes	characteristic
1230	#106	C₂³×C₁₃	1	1	yes	characteristic
1231	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1232	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1233	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1234	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1235	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1236	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1237	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1238	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1239	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1240	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1241	#103	C₂³×C₁₃	1	1	yes	characteristic
1242	#103	C₂³×C₁₃	1	1	yes	characteristic
1243	#103	C₂³×C₁₃	1	1	yes	characteristic
1244	#103	C₂³×C₁₃	1	1	yes	characteristic
1245	#103	C₂³×C₁₃	1	1	yes	characteristic
1246	#103	C₂³×C₁₃	1	1	yes	characteristic
1247	#103	C₂³×C₁₃	1	1	yes	characteristic
1248	#103	C₂³×C₁₃	1	1	yes	characteristic
1249	#103	C₂³×C₁₃	1	1	yes	characteristic
1250	#103	C₂³×C₁₃	1	1	yes	characteristic
1251	#103	C₂³×C₁₃	1	1	yes	characteristic
1252	#103	C₂³×C₁₃	1	1	yes	characteristic
1253	#103	C₂³×C₁₃	1	1	yes	characteristic
1254	#103	C₂³×C₁₃	1	1	yes	characteristic
1255	#103	C₂³×C₁₃	1	1	yes	characteristic
1256	#103	C₂³×C₁₃	1	1	yes	characteristic
1257	#103	C₂³×C₁₃	1	1	yes	characteristic
1258	#103	C₂³×C₁₃	1	1	yes	characteristic
1259	#103	C₂³×C₁₃	1	1	yes	characteristic
1260	#103	C₂³×C₁₃	1	1	yes	characteristic
1261	#103	C₂³×C₁₃	1	1	yes	characteristic
1262	#103	C₂³×C₁₃	1	1	yes	characteristic
1263	#102	C₂³×C₁₃	1	1	yes	characteristic
1264	#102	C₂³×C₁₃	1	1	yes	characteristic
1265	#102	C₂³×C₁₃	1	1	yes	characteristic
1266	#102	C₂³×C₁₃	1	1	yes	characteristic
1267	#102	C₂³×C₁₃	1	1	yes	characteristic
1268	#102	C₂³×C₁₃	1	1	yes	characteristic
1269	#102	C₂³×C₁₃	1	1	yes	characteristic
1270	#102	C₂³×C₁₃	1	1	yes	characteristic
1271	#102	C₂³×C₁₃	1	1	yes	characteristic
1272	#102	C₂³×C₁₃	1	1	yes	characteristic
1273	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1274	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1275	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1276	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1277	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1278	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1279	#97	C₂³×C₁₃	1	1	yes	characteristic
1280	#97	C₂³×C₁₃	1	1	yes	characteristic
1281	#97	C₂³×C₁₃	1	1	yes	characteristic
1282	#97	C₂³×C₁₃	1	1	yes	characteristic
1283	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1284	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1285	C₂×C₁₃	—	2	2	no	—
1286	C₂×C₁₃	—	4	1	no	—
1287	C₂×C₁₃	—	4	1	no	—
1288	C₂×C₁₃	—	8	1	no	—
1289	C₂×C₁₃	—	8	1	no	—
1290	C₂×C₁₃	#3489	1	1	yes	characteristic
1291	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1292	C₂×C₁₃	#3586	1	1	yes	characteristic
1293	#41	—	2	2	no	—
1294	#41	—	4	1	no	—
1295	#41	—	8	2	no	—
1296	#41	—	8	2	no	—
1297	C₂×Q₈	—	2	1	no	—
1298	C₂×Q₈	—	2	1	no	—
1299	C₂×Q₈	—	2	1	no	—
1300	C₂×Q₈	—	2	1	no	—
1301	C₂×Q₈	—	2	1	no	—
1302	C₂×Q₈	—	2	1	no	—
1303	C₂×Q₈	—	2	1	no	—
1304	C₂×Q₈	—	2	1	no	—
1305	C₂×Q₈	—	2	1	no	—
1306	C₂×Q₈	—	2	2	no	—
1307	C₂×Q₈	—	2	2	no	—
1308	C₂×Q₈	—	4	1	no	—
1309	C₂×Q₈	—	4	1	no	—
1310	C₂×Q₈	—	8	2	no	—
1311	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1312	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1313	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1314	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1315	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1316	C₂×D₄	—	2	1	no	—
1317	C₂×D₄	—	2	1	no	—
1318	C₂×D₄	—	2	1	no	—
1319	C₂×D₄	—	2	1	no	—
1320	C₂×D₄	—	2	1	no	—
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1323	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1324	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1325	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1326	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1327	C₂²×C₄	—	2	1	no	—
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	2	1	no	—
1331	C₂²×C₄	—	2	1	no	—
1332	C₂²×C₄	—	2	1	no	—
1333	C₂²×C₄	—	2	1	no	—
1334	C₂²×C₄	—	2	1	no	—
1335	C₂²×C₄	—	2	1	no	—
1336	C₂²×C₄	—	2	1	no	—
1337	C₂²×C₄	—	2	1	no	—
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1342	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1343	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1344	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1345	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1346	Q₁₆	—	2	2	no	—
1347	Q₁₆	—	4	1	no	—
1348	Q₁₆	—	4	1	no	—
1349	SD₁₆	—	2	2	no	—
1350	SD₁₆	—	4	1	no	—
1351	SD₁₆	—	4	1	no	—
1352	SD₁₆	—	4	1	no	—
1353	D₈	—	4	1	no	—
1354	M₁₆	—	4	1	no	—
1355	M₁₆	—	4	1	no	—
1356	C₂×C₈	—	4	1	no	—
1357	C₂×C₈	—	4	1	no	—
1358	C₂×C₈	—	4	1	no	—
1359	C₂×C₈	—	4	1	no	—
1360	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1361	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1362	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1363	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1364	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1365	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1366	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1367	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1412	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1413	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1414	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1415	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1416	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1417	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1418	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1419	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1420	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1421	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1422	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1423	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1424	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1425	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1426	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1427	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1428	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1429	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1430	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1458	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1459	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1460	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1461	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1462	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1463	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1464	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1465	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1466	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1467	C₄²	—	2	1	no	—
1468	C₄²	—	2	1	no	—
1469	C₄²	—	2	1	no	—
1470	C₄²	—	2	1	no	—
1471	C₄²	—	2	1	no	—
1472	C₄²	—	2	1	no	—
1473	C₄²	—	2	1	no	—
1474	C₄²	—	2	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	2	1	no	—
1478	C₄²	—	2	1	no	—
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1482	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1483	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1484	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1485	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1486	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1487	C₁₃	#62157	1	1	yes	characteristic, direct product factor, Sylow
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1491	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1492	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1493	Q₈	—	2	1	no	—
1494	Q₈	—	2	1	no	—
1495	Q₈	—	2	1	no	—
1496	Q₈	—	2	1	no	—
1497	Q₈	—	2	1	no	—
1498	Q₈	—	2	1	no	—
1499	Q₈	—	2	1	no	—
1500	Q₈	—	4	1	no	—
1501	Q₈	—	4	2	no	—
1502	Q₈	—	4	2	no	—
1503	Q₈	—	8	1	no	—
1504	Q₈	—	8	1	no	—
1505	Q₈	—	8	1	no	—
1506	Q₈	—	8	1	no	—
1507	Q₈	—	8	1	no	—
1508	Q₈	—	8	1	no	—
1509	Q₈	—	8	1	no	—
1510	Q₈	C₁₃×2₋¹⁺⁴	1	2	yes	—
1511	D₄	—	2	2	no	—
1512	D₄	—	2	2	no	—
1513	D₄	—	2	1	no	—
1514	D₄	—	2	1	no	—
1515	D₄	—	2	1	no	—
1516	D₄	—	2	1	no	—
1517	D₄	—	4	1	no	—
1518	D₄	—	4	2	no	—
1519	D₄	—	4	2	no	—
1520	D₄	—	4	2	no	—
1521	D₄	—	8	1	no	—
1522	D₄	—	8	1	no	—
1523	D₄	—	8	1	no	—
1524	C₂×C₄	—	2	2	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	4	1	no	—
1546	C₂×C₄	—	4	2	no	—
1547	C₂×C₄	—	4	2	no	—
1548	C₂×C₄	—	4	2	no	—
1549	C₂×C₄	—	4	2	no	—
1550	C₂×C₄	—	4	2	no	—
1551	C₂×C₄	—	4	2	no	—
1552	C₂×C₄	—	8	1	no	—
1553	C₂×C₄	—	8	1	no	—
1554	C₂×C₄	—	8	1	no	—
1555	C₂×C₄	—	8	1	no	—
1556	C₂×C₄	—	8	1	no	—
1557	C₂×C₄	—	8	1	no	—
1558	C₂×C₄	—	8	1	no	—
1559	C₂×C₄	—	8	1	no	—
1560	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1561	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1562	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1563	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1564	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1565	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1566	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1567	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1568	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1569	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1570	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1571	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	2	1	no	—
1575	C₈	—	2	1	no	—
1576	C₈	—	2	1	no	—
1577	C₈	—	2	1	no	—
1578	C₈	—	2	1	no	—
1579	C₈	—	2	1	no	—
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	1	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	2	1	no	—
1585	C₂²	—	2	1	no	—
1586	C₂²	—	2	1	no	—
1587	C₂²	—	2	1	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	C₁₃×#577	1	2	yes	—
1595	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	2	1	no	—
1602	C₄	—	2	1	no	—
1603	C₄	—	2	1	no	—
1604	C₄	—	2	1	no	—
1605	C₄	—	2	1	no	—
1606	C₄	—	2	1	no	—
1607	C₄	—	2	2	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	4	1	no	—
1610	C₄	—	4	1	no	—
1611	C₄	—	4	1	no	—
1612	C₄	—	4	1	no	—
1613	C₄	—	4	1	no	—
1614	C₄	—	4	1	no	—
1615	C₄	—	4	1	no	—
1616	C₄	—	4	1	no	—
1617	C₄	—	4	1	no	—
1618	C₄	—	4	1	no	—
1619	C₄	—	4	1	no	—
1620	C₄	—	4	1	no	—
1621	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1622	C₄	C₁₃×#585	1	1	yes	characteristic
1623	C₂	—	2	2	no	—
1624	C₂	—	4	1	no	—
1625	C₂	—	4	1	no	—
1626	C₂	—	8	1	no	—
1627	C₂	—	8	1	no	—
1628	C₂	C₁₃×#3489	1	1	yes	characteristic
1629	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1630	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×#3544	C₂	semidirect
2. C₁₃×#3516	C₂	semidirect
3. C₁₃×#3388	C₂	semidirect
4. C₁₃×#3387	C₂	semidirect
5. C₁₃×#3376	C₂	semidirect
6. C₁₃×#3369	C₂	semidirect
7. C₁₃×#3348	C₂	semidirect
8. C₁₃×#3345	C₂	semidirect
9. C₁₃×#3344	C₂	semidirect
10. C₁₃×#3344	C₂	semidirect
11. C₁₃×#3337	C₂	semidirect
12. C₁₃×#3335	C₂	semidirect
13. C₁₃×#3321	C₂	semidirect
14. C₁₃×#3316	C₂	semidirect
15. C₁₃×#3312	C₂	semidirect
16. C₁₃×#3308	C₂	semidirect
17. C₁₃×#3300	C₂	semidirect
18. C₁₃×#3298	C₂	semidirect
19. C₁₃×#3263	C₂	semidirect
20. C₁₃×#3258	C₂	semidirect
21. C₁₃×#3250	C₂	semidirect
22. C₁₃×#3244	C₂	semidirect
23. C₁₃×#3242	C₂	semidirect
24. C₁₃×#3238	C₂	semidirect
25. C₁₃×#3125	C₂	semidirect
26. C₁₃×#3121	C₂	semidirect
27. C₁₃×#3117	C₂	semidirect
28. C₁₃×#3084	C₂	semidirect
29. C₁₃×#3082	C₂	semidirect
30. C₂×C₁₃×#475	C₂	semidirect
31. C₁₃×#2992	C₂	semidirect
478. #62157	C₁₃	direct (N × H)
673. #3544	C₂×C₁₃	semidirect
674. #3516	C₂×C₁₃	semidirect
675. #3388	C₂×C₁₃	semidirect
676. #3387	C₂×C₁₃	semidirect
677. #3376	C₂×C₁₃	semidirect
678. #3369	C₂×C₁₃	semidirect
679. #3348	C₂×C₁₃	semidirect
680. #3345	C₂×C₁₃	semidirect
681. #3344	C₂×C₁₃	semidirect
682. #3344	C₂×C₁₃	semidirect
683. #3337	C₂×C₁₃	semidirect
684. #3335	C₂×C₁₃	semidirect
685. #3321	C₂×C₁₃	semidirect
686. #3316	C₂×C₁₃	semidirect
687. #3312	C₂×C₁₃	semidirect
688. #3308	C₂×C₁₃	semidirect
689. #3300	C₂×C₁₃	semidirect
690. #3298	C₂×C₁₃	semidirect
691. #3263	C₂×C₁₃	semidirect
692. #3258	C₂×C₁₃	semidirect
693. #3250	C₂×C₁₃	semidirect
694. #3244	C₂×C₁₃	semidirect
695. #3242	C₂×C₁₃	semidirect
696. #3238	C₂×C₁₃	semidirect
697. #3125	C₂×C₁₃	semidirect
698. #3121	C₂×C₁₃	semidirect
699. #3117	C₂×C₁₃	semidirect
700. #3084	C₂×C₁₃	semidirect
701. #3082	C₂×C₁₃	semidirect
702. C₂×#475	C₂×C₁₃	semidirect
703. #2992	C₂×C₁₃	semidirect
1487. C₁₃	#62157	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×#3544	2
C₁₃×#3516	2
C₁₃×#3388	2
C₁₃×#3387	2
C₁₃×#3376	2
C₁₃×#3369	2
C₁₃×#3348	2
C₁₃×#3345	2
C₁₃×#3344	2
C₁₃×#3337	2
C₁₃×#3335	2
C₁₃×#3321	2
C₁₃×#3316	2
C₁₃×#3312	2
C₁₃×#3308	2
C₁₃×#3300	2
C₁₃×#3298	2
C₁₃×#3263	2
C₁₃×#3258	2
C₁₃×#3250	2
C₁₃×#3244	2
C₁₃×#3242	2
C₁₃×#3238	2
C₁₃×#3125	2
C₁₃×#3121	2
C₁₃×#3117	2
C₁₃×#3084	2
C₁₃×#3082	2
C₂×C₁₃×#475	2
C₁₃×#2992	2
#62157	13

Subgroups — C13×#62157 #15748496

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62157 #15748496