Subgroups — C₁₃×#62126 #15748465

Order 3328.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3481	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3388	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3350	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3344	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3337	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3311	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3310	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3296	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3248	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3246	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3235	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3110	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3101	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3077	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#476	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#559	C₂²	1	1	yes	characteristic
25	C₁₃×#557	—	2	1	no	—
26	C₁₃×#557	C₂²	1	2	yes	complemented
27	C₁₃×#556	—	2	1	no	—
28	C₁₃×#556	C₂²	1	2	yes	complemented
29	C₁₃×#554	C₂²	1	1	yes	characteristic
30	C₁₃×#554	C₂²	1	1	yes	characteristic
31	C₁₃×#553	—	2	1	no	—
32	C₁₃×#553	C₂²	1	1	yes	characteristic
33	C₁₃×#553	C₂²	1	1	yes	characteristic
34	C₁₃×#552	—	2	1	no	—
35	C₁₃×#552	—	2	1	no	—
36	C₁₃×#552	C₂²	1	2	yes	—
37	C₁₃×#552	C₂²	1	2	yes	complemented
38	C₁₃×#551	—	2	1	no	—
39	C₁₃×#551	—	2	1	no	—
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	C₂²	1	1	yes	characteristic
42	C₁₃×#546	C₂²	1	1	yes	characteristic
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic
44	C₁₃×#541	—	2	1	no	—
45	C₁₃×#541	—	2	1	no	—
46	C₁₃×#536	—	2	1	no	—
47	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#532	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#529	—	2	1	no	—
55	C₁₃×#529	C₂²	1	1	yes	characteristic
56	C₁₃×#529	C₂²	1	1	yes	characteristic
57	C₁₃×#525	—	2	1	no	—
58	C₁₃×#525	—	2	1	no	—
59	C₁₃×#519	—	2	1	no	—
60	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
61	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
62	C₂×C₄×D₄×C₁₃	—	2	1	no	—
63	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#501	C₂²	1	2	yes	complemented
67	C₁₃×#499	C₂²	1	2	yes	complemented
68	C₁₃×#490	C₂²	1	2	yes	—
69	C₁₃×#489	C₂²	1	2	yes	complemented
70	C₁₃×#488	C₂²	1	2	yes	complemented
71	C₁₃×#485	C₂²	1	2	yes	complemented
72	C₁₃×#485	C₂²	1	2	yes	complemented
73	C₁₃×#484	C₂²	1	2	yes	complemented
74	C₁₃×#483	C₂²	1	2	yes	complemented
75	C₁₃×#483	C₂²	1	2	yes	complemented
76	C₁₃×#482	C₂²	1	2	yes	—
77	C₁₃×#482	C₂²	1	2	yes	complemented
78	C₁₃×#482	C₂²	1	2	yes	complemented
79	C₁₃×#480	C₂²	1	2	yes	—
80	C₁₃×#479	C₂²	1	2	yes	complemented
81	C₁₃×#479	C₂²	1	2	yes	complemented
82	C₁₃×#479	C₂²	1	2	yes	complemented
83	C₁₃×#478	C₂²	1	2	yes	—
84	C₁₃×#478	C₂²	1	2	yes	—
85	C₁₃×#478	C₂²	1	2	yes	complemented
86	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#476	C₂²	1	2	yes	—
89	C₁₃×#476	C₂²	1	1	yes	characteristic
90	C₁₃×#476	C₂²	1	1	yes	characteristic
91	C₁₃×#476	C₂²	1	2	yes	complemented
92	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#475	C₂²	1	2	yes	complemented
98	C₁₃×#474	C₂²	1	1	yes	characteristic
99	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#470	C₂²	1	2	yes	complemented
102	C₁₃×#468	C₂²	1	2	yes	—
103	C₁₃×#467	C₂²	1	2	yes	complemented
104	C₁₃×#465	C₂²	1	2	yes	—
105	C₁₃×#465	C₂²	1	2	yes	complemented
106	C₁₃×#465	C₂²	1	2	yes	complemented
107	C₁₃×#464	C₂²	1	2	yes	complemented
108	C₁₃×#464	C₂²	1	2	yes	complemented
109	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#461	C₂²	1	1	yes	characteristic
111	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#460	C₂²	1	2	yes	—
114	C₁₃×#452	C₂²	1	2	yes	—
115	C₁₃×#450	C₂²	1	2	yes	—
116	C₁₃×#450	C₂²	1	2	yes	—
117	C₁₃×#446	C₂²	1	2	yes	complemented
118	C₁₃×#441	C₂²	1	2	yes	complemented
119	C₁₃×#440	C₂²	1	2	yes	—
120	C₁₃×#440	C₂²	1	2	yes	—
121	C₁₃×#440	C₂²	1	2	yes	complemented
122	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
123	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	—
125	C₁₃×#435	C₂²	1	2	yes	complemented
126	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
127	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#428	C₂²	1	2	yes	complemented
131	C₁₃×#427	C₂²	1	2	yes	complemented
132	C₂×C₁₃×#106	C₂²	1	2	yes	complemented
133	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#418	C₂²	1	2	yes	—
137	C₁₃×#416	C₂²	1	2	yes	—
138	C₂×C₁₃×#102	C₂²	1	2	yes	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₁₃	—	2	1	no	—
143	C₂²×D₄×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
145	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₁₃	—	2	1	no	—
147	C₂³×C₄×C₁₃	—	2	1	no	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
153	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
154	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
155	C₁₃×C₄⋊Q₈	—	2	2	no	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	—	2	1	no	—
158	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₃×#127	C₂³	1	1	yes	characteristic
165	C₁₃×#126	—	2	1	no	—
166	C₁₃×#126	—	2	1	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#125	—	2	1	no	—
174	C₁₃×#125	—	2	2	no	—
175	C₁₃×#125	—	2	2	no	—
176	C₁₃×#125	—	2	2	no	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	C₂³	1	2	yes	—
182	C₁₃×#125	C₂³	1	2	yes	—
183	C₁₃×#125	C₂³	1	1	yes	characteristic
184	C₁₃×#125	C₂³	1	1	yes	characteristic
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	—	2	2	no	—
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	C₂³	1	1	yes	characteristic
189	C₁₃×#124	C₂³	1	1	yes	characteristic
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	1	no	—
193	C₁₃×#123	—	2	1	no	—
194	C₁₃×#123	—	2	1	no	—
195	C₁₃×#123	—	2	1	no	—
196	C₁₃×#123	—	2	1	no	—
197	C₁₃×#123	—	2	1	no	—
198	C₁₃×#123	—	2	1	no	—
199	C₁₃×#123	—	2	1	no	—
200	C₁₃×C₂²⋊Q₈	—	2	1	no	—
201	C₁₃×C₂²⋊Q₈	—	2	1	no	—
202	C₁₃×C₂²⋊Q₈	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	1	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	1	no	—
206	C₁₃×C₂²⋊Q₈	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	—	2	1	no	—
208	C₁₃×C₂²⋊Q₈	—	2	1	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	—	2	1	no	—
211	C₁₃×C₂²⋊Q₈	—	2	1	no	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
216	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	1	no	—
219	C₁₃×#121	—	2	1	no	—
220	C₁₃×#121	—	2	1	no	—
221	C₁₃×#121	—	2	1	no	—
222	C₁₃×#121	—	2	1	no	—
223	C₁₃×#121	C₂³	1	1	yes	characteristic
224	C₁₃×#121	C₂³	1	1	yes	characteristic
225	C₁₃×#121	C₂³	1	1	yes	characteristic
226	C₁₃×#121	C₂³	1	1	yes	characteristic
227	C₁₃×#120	—	2	1	no	—
228	C₁₃×#120	—	2	1	no	—
229	C₁₃×#120	—	2	1	no	—
230	C₁₃×#120	—	2	1	no	—
231	C₄×Q₈×C₁₃	—	2	2	no	—
232	C₄×Q₈×C₁₃	—	2	2	no	—
233	C₄×Q₈×C₁₃	—	2	1	no	—
234	C₄×Q₈×C₁₃	—	2	1	no	—
235	C₄×Q₈×C₁₃	—	2	1	no	—
236	C₄×Q₈×C₁₃	—	2	1	no	—
237	C₄×Q₈×C₁₃	—	2	1	no	—
238	C₄×Q₈×C₁₃	—	2	1	no	—
239	C₄×Q₈×C₁₃	—	2	1	no	—
240	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
241	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
242	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
243	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
244	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₃	—	2	1	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	—	2	1	no	—
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	—	2	1	no	—
259	C₄×D₄×C₁₃	—	2	1	no	—
260	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
261	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
262	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
263	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
264	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
265	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
266	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
267	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
268	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
269	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
270	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
271	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
272	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
274	C₁₃×#117	—	2	1	no	—
275	C₁₃×#117	—	2	1	no	—
276	C₁₃×#117	—	2	1	no	—
277	C₁₃×#117	—	2	2	no	—
278	C₁₃×#117	—	2	2	no	—
279	C₁₃×#117	—	2	1	no	—
280	C₁₃×#117	—	2	1	no	—
281	C₁₃×#117	—	2	1	no	—
282	C₁₃×#117	D₄	1	1	yes	characteristic
283	C₁₃×#117	D₄	1	1	yes	characteristic
284	C₁₃×#117	D₄	1	1	yes	characteristic
285	C₁₃×#117	C₂³	1	2	yes	—
286	C₁₃×#117	C₂³	1	2	yes	—
287	C₁₃×#117	C₂³	1	1	yes	characteristic
288	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
289	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
291	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
294	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
295	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
297	C₂×C₄²×C₁₃	—	2	1	no	—
298	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
301	C₁₃×#107	C₂³	1	2	yes	—
302	C₁₃×#107	C₂³	1	2	yes	—
303	C₁₃×#107	C₂³	1	2	yes	—
304	C₁₃×#107	C₂³	1	2	yes	—
305	C₁₃×#107	C₂³	1	2	yes	—
306	C₁₃×#106	C₂³	1	2	yes	—
307	C₁₃×#106	C₂³	1	2	yes	—
308	C₁₃×#106	C₂³	1	2	yes	—
309	C₁₃×#106	C₂³	1	2	yes	—
310	C₁₃×#106	C₂³	1	2	yes	—
311	C₁₃×#106	C₂³	1	2	yes	—
312	C₁₃×#106	C₂³	1	2	yes	—
313	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
317	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
318	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
319	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	C₁₃×#103	C₂³	1	2	yes	—
321	C₁₃×#103	C₂³	1	2	yes	—
322	C₁₃×#103	C₂³	1	2	yes	—
323	C₁₃×#103	C₂³	1	2	yes	—
324	C₁₃×#103	C₂³	1	2	yes	—
325	C₁₃×#103	C₂³	1	2	yes	—
326	C₁₃×#103	C₂³	1	2	yes	—
327	C₁₃×#102	C₂³	1	2	yes	—
328	C₁₃×#102	C₂³	1	2	yes	—
329	C₁₃×#102	C₂³	1	2	yes	—
330	C₁₃×#102	C₂³	1	2	yes	—
331	C₁₃×#102	C₂³	1	2	yes	—
332	C₁₃×#102	C₂³	1	2	yes	—
333	C₁₃×#102	C₂³	1	2	yes	—
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×#102	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₁₃×#97	C₂³	1	2	yes	—
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#62126	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₂⁴×C₁₃	—	2	1	no	—
345	C₁₃×#41	—	2	2	no	—
346	C₁₃×#41	—	4	2	no	—
347	C₁₃×#41	—	4	1	no	—
348	C₁₃×#41	—	8	2	no	—
349	C₂×Q₈×C₁₃	—	2	1	no	—
350	C₂×Q₈×C₁₃	—	2	1	no	—
351	C₂×Q₈×C₁₃	—	2	1	no	—
352	C₂×Q₈×C₁₃	—	2	2	no	—
353	C₂×Q₈×C₁₃	—	2	1	no	—
354	C₂×Q₈×C₁₃	—	4	4	no	—
355	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
358	C₂×D₄×C₁₃	—	2	2	no	—
359	C₂×D₄×C₁₃	—	2	2	no	—
360	C₂×D₄×C₁₃	—	2	1	no	—
361	C₂×D₄×C₁₃	—	2	1	no	—
362	C₂×D₄×C₁₃	—	2	1	no	—
363	C₂×D₄×C₁₃	—	2	1	no	—
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	2	1	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	—	2	1	no	—
368	C₂×D₄×C₁₃	—	2	1	no	—
369	C₂×D₄×C₁₃	—	4	1	no	—
370	C₂×D₄×C₁₃	—	4	1	no	—
371	C₂×D₄×C₁₃	—	4	4	no	—
372	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
373	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
374	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
375	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	2	1	no	—
380	C₂²×C₄×C₁₃	—	2	1	no	—
381	C₂²×C₄×C₁₃	—	2	1	no	—
382	C₂²×C₄×C₁₃	—	2	1	no	—
383	C₂²×C₄×C₁₃	—	2	1	no	—
384	C₂²×C₄×C₁₃	—	2	1	no	—
385	C₂²×C₄×C₁₃	—	2	1	no	—
386	C₂²×C₄×C₁₃	—	2	1	no	—
387	C₂²×C₄×C₁₃	—	2	1	no	—
388	C₂²×C₄×C₁₃	—	2	1	no	—
389	C₂²×C₄×C₁₃	—	2	1	no	—
390	C₂²×C₄×C₁₃	—	8	2	no	—
391	C₂²×C₄×C₁₃	—	8	2	no	—
392	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₁₃×Q₁₆	—	4	2	no	—
402	C₁₃×SD₁₆	—	2	4	no	—
403	C₁₃×SD₁₆	—	4	2	no	—
404	C₁₃×SD₁₆	—	4	2	no	—
405	C₁₃×M₁₆	—	4	2	no	—
406	C₂×C₈×C₁₃	—	4	2	no	—
407	C₂×C₈×C₁₃	—	4	2	no	—
408	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
409	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
410	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
411	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	—	2	1	no	—
414	C₁₃×C₄⋊C₄	—	2	1	no	—
415	C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₁₃×C₄⋊C₄	—	2	1	no	—
417	C₁₃×C₄⋊C₄	—	2	2	no	—
418	C₁₃×C₄⋊C₄	—	2	1	no	—
419	C₁₃×C₄⋊C₄	—	2	1	no	—
420	C₁₃×C₄⋊C₄	—	2	2	no	—
421	C₁₃×C₄⋊C₄	—	2	1	no	—
422	C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₁₃×C₄⋊C₄	—	2	1	no	—
424	C₁₃×C₄⋊C₄	—	2	1	no	—
425	C₁₃×C₄⋊C₄	—	2	1	no	—
426	C₁₃×C₄⋊C₄	—	2	2	no	—
427	C₁₃×C₄⋊C₄	—	2	2	no	—
428	C₁₃×C₄⋊C₄	—	2	2	no	—
429	C₁₃×C₄⋊C₄	—	2	2	no	—
430	C₁₃×C₄⋊C₄	—	2	1	no	—
431	C₁₃×C₄⋊C₄	—	2	1	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	1	no	—
434	C₁₃×C₄⋊C₄	—	2	2	no	—
435	C₁₃×C₄⋊C₄	—	2	2	no	—
436	C₁₃×C₄⋊C₄	—	2	2	no	—
437	C₁₃×C₄⋊C₄	—	2	2	no	—
438	C₁₃×C₄⋊C₄	—	2	2	no	—
439	C₁₃×C₄⋊C₄	—	2	2	no	—
440	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
441	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
442	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
443	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
444	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
445	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
446	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
447	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
448	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
449	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
451	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
452	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
453	C₁₃×C₂²⋊C₄	—	2	1	no	—
454	C₁₃×C₂²⋊C₄	—	2	1	no	—
455	C₁₃×C₂²⋊C₄	—	2	2	no	—
456	C₁₃×C₂²⋊C₄	—	2	2	no	—
457	C₁₃×C₂²⋊C₄	—	2	2	no	—
458	C₁₃×C₂²⋊C₄	—	2	1	no	—
459	C₁₃×C₂²⋊C₄	—	2	2	no	—
460	C₁₃×C₂²⋊C₄	—	2	2	no	—
461	C₁₃×C₂²⋊C₄	—	2	1	no	—
462	C₁₃×C₂²⋊C₄	—	2	1	no	—
463	C₁₃×C₂²⋊C₄	—	2	1	no	—
464	C₁₃×C₂²⋊C₄	—	2	1	no	—
465	C₁₃×C₂²⋊C₄	—	2	1	no	—
466	C₁₃×C₂²⋊C₄	—	2	1	no	—
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	no	—
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	—	2	1	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	1	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	1	no	—
475	C₁₃×C₂²⋊C₄	—	2	1	no	—
476	C₁₃×C₂²⋊C₄	—	2	1	no	—
477	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
478	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
479	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
480	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
481	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
482	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
483	C₄²×C₁₃	—	2	1	no	—
484	C₄²×C₁₃	—	2	1	no	—
485	C₄²×C₁₃	—	2	1	no	—
486	C₄²×C₁₃	—	2	2	no	—
487	C₄²×C₁₃	—	2	2	no	—
488	C₄²×C₁₃	—	2	2	no	—
489	C₄²×C₁₃	—	2	2	no	—
490	C₄²×C₁₃	—	2	2	no	—
491	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
495	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
497	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
501	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
502	#3481	C₂×C₁₃	1	1	yes	characteristic
503	#3388	C₂×C₁₃	1	2	yes	complemented
504	#3371	C₂×C₁₃	1	2	yes	complemented
505	#3350	C₂×C₁₃	1	2	yes	complemented
506	#3344	C₂×C₁₃	1	2	yes	complemented
507	#3337	C₂×C₁₃	1	2	yes	complemented
508	#3311	C₂×C₁₃	1	2	yes	complemented
509	#3310	C₂×C₁₃	1	2	yes	complemented
510	#3296	C₂×C₁₃	1	2	yes	complemented
511	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3248	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3246	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3238	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3235	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3110	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3101	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3077	C₂×C₁₃	1	1	yes	characteristic, complemented
521	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
522	C₂×#476	C₂×C₁₃	1	1	yes	characteristic, complemented
523	#2990	C₂×C₁₃	1	1	yes	characteristic, complemented
524	C₂³×C₁₃	—	2	1	no	—
525	C₂³×C₁₃	—	2	1	no	—
526	C₂³×C₁₃	—	2	1	no	—
527	C₂³×C₁₃	—	4	2	no	—
528	C₂³×C₁₃	—	4	2	no	—
529	C₂³×C₁₃	—	4	2	no	—
530	C₂³×C₁₃	—	4	2	no	—
531	C₂³×C₁₃	—	8	1	no	—
532	C₂³×C₁₃	—	8	1	no	—
533	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
535	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
536	Q₈×C₁₃	—	2	2	no	—
537	Q₈×C₁₃	—	2	1	no	—
538	Q₈×C₁₃	—	2	2	no	—
539	Q₈×C₁₃	—	2	1	no	—
540	Q₈×C₁₃	—	4	1	no	—
541	Q₈×C₁₃	—	4	2	no	—
542	Q₈×C₁₃	—	4	2	no	—
543	Q₈×C₁₃	—	4	4	no	—
544	Q₈×C₁₃	—	4	2	no	—
545	Q₈×C₁₃	—	8	1	no	—
546	D₄×C₁₃	—	2	2	no	—
547	D₄×C₁₃	—	2	2	no	—
548	D₄×C₁₃	—	2	1	no	—
549	D₄×C₁₃	—	2	1	no	—
550	D₄×C₁₃	—	2	1	no	—
551	D₄×C₁₃	—	2	1	no	—
552	D₄×C₁₃	—	2	1	no	—
553	D₄×C₁₃	—	4	1	no	—
554	D₄×C₁₃	—	4	2	no	—
555	D₄×C₁₃	—	4	2	no	—
556	D₄×C₁₃	—	4	2	no	—
557	D₄×C₁₃	—	4	2	no	—
558	D₄×C₁₃	—	4	2	no	—
559	D₄×C₁₃	—	4	2	no	—
560	D₄×C₁₃	—	8	1	no	—
561	D₄×C₁₃	—	8	1	no	—
562	D₄×C₁₃	—	8	1	no	—
563	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
564	C₂×C₄×C₁₃	—	2	2	no	—
565	C₂×C₄×C₁₃	—	2	2	no	—
566	C₂×C₄×C₁₃	—	2	2	no	—
567	C₂×C₄×C₁₃	—	2	2	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	1	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	2	no	—
575	C₂×C₄×C₁₃	—	2	2	no	—
576	C₂×C₄×C₁₃	—	2	1	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	2	no	—
580	C₂×C₄×C₁₃	—	2	2	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	4	1	no	—
584	C₂×C₄×C₁₃	—	4	1	no	—
585	C₂×C₄×C₁₃	—	4	2	no	—
586	C₂×C₄×C₁₃	—	4	2	no	—
587	C₂×C₄×C₁₃	—	4	4	no	—
588	C₂×C₄×C₁₃	—	4	2	no	—
589	C₂×C₄×C₁₃	—	4	2	no	—
590	C₂×C₄×C₁₃	—	4	2	no	—
591	C₂×C₄×C₁₃	—	8	1	no	—
592	C₂×C₄×C₁₃	—	8	1	no	—
593	C₂×C₄×C₁₃	—	8	1	no	—
594	C₂×C₄×C₁₃	—	8	1	no	—
595	C₂×C₄×C₁₃	—	8	1	no	—
596	C₂×C₄×C₁₃	—	8	1	no	—
597	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
598	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
599	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
600	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
601	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
602	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
603	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
604	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
605	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
606	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
607	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
608	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
609	C₈×C₁₃	—	2	2	no	—
610	C₈×C₁₃	—	2	2	no	—
611	C₈×C₁₃	—	2	2	no	—
612	C₈×C₁₃	—	2	2	no	—
613	#559	C₂²×C₁₃	1	1	yes	characteristic
614	#557	—	2	1	no	—
615	#557	C₂²×C₁₃	1	2	yes	complemented
616	#556	—	2	1	no	—
617	#556	C₂²×C₁₃	1	2	yes	complemented
618	#554	C₂²×C₁₃	1	1	yes	characteristic
619	#554	C₂²×C₁₃	1	1	yes	characteristic
620	#553	—	2	1	no	—
621	#553	C₂²×C₁₃	1	1	yes	characteristic
622	#553	C₂²×C₁₃	1	1	yes	characteristic
623	#552	—	2	1	no	—
624	#552	—	2	1	no	—
625	#552	C₂²×C₁₃	1	2	yes	—
626	#552	C₂²×C₁₃	1	2	yes	complemented
627	#551	—	2	1	no	—
628	#551	—	2	1	no	—
629	#546	—	2	1	no	—
630	#546	C₂²×C₁₃	1	1	yes	characteristic
631	#546	C₂²×C₁₃	1	1	yes	characteristic
632	D₄²	C₂²×C₁₃	1	1	yes	characteristic
633	#541	—	2	1	no	—
634	#541	—	2	1	no	—
635	#536	—	2	1	no	—
636	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
639	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	#532	C₂²×C₁₃	1	1	yes	characteristic
642	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#529	—	2	1	no	—
644	#529	C₂²×C₁₃	1	1	yes	characteristic
645	#529	C₂²×C₁₃	1	1	yes	characteristic
646	#525	—	2	1	no	—
647	#525	—	2	1	no	—
648	#519	—	2	1	no	—
649	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
650	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
651	C₂×C₄×D₄	—	2	1	no	—
652	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
653	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
654	#501	C₂²×C₁₃	1	2	yes	complemented
655	#501	C₂²×C₁₃	1	2	yes	complemented
656	#499	C₂²×C₁₃	1	2	yes	complemented
657	#490	C₂²×C₁₃	1	2	yes	—
658	#489	C₂²×C₁₃	1	2	yes	complemented
659	#488	C₂²×C₁₃	1	2	yes	complemented
660	#485	C₂²×C₁₃	1	2	yes	complemented
661	#485	C₂²×C₁₃	1	2	yes	complemented
662	#484	C₂²×C₁₃	1	2	yes	complemented
663	#483	C₂²×C₁₃	1	2	yes	complemented
664	#483	C₂²×C₁₃	1	2	yes	complemented
665	#482	C₂²×C₁₃	1	2	yes	—
666	#482	C₂²×C₁₃	1	2	yes	complemented
667	#482	C₂²×C₁₃	1	2	yes	complemented
668	#480	C₂²×C₁₃	1	2	yes	—
669	#479	C₂²×C₁₃	1	2	yes	complemented
670	#479	C₂²×C₁₃	1	2	yes	complemented
671	#479	C₂²×C₁₃	1	2	yes	complemented
672	#478	C₂²×C₁₃	1	2	yes	—
673	#478	C₂²×C₁₃	1	2	yes	—
674	#478	C₂²×C₁₃	1	2	yes	complemented
675	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
676	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	#476	C₂²×C₁₃	1	1	yes	characteristic
678	#476	C₂²×C₁₃	1	1	yes	characteristic
679	#476	C₂²×C₁₃	1	2	yes	—
680	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#476	C₂²×C₁₃	1	2	yes	complemented
682	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
685	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
686	#475	C₂²×C₁₃	1	2	yes	complemented
687	#474	C₂²×C₁₃	1	1	yes	characteristic
688	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
689	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	#470	C₂²×C₁₃	1	2	yes	complemented
691	#468	C₂²×C₁₃	1	2	yes	—
692	#467	C₂²×C₁₃	1	2	yes	complemented
693	#465	C₂²×C₁₃	1	2	yes	—
694	#465	C₂²×C₁₃	1	2	yes	complemented
695	#465	C₂²×C₁₃	1	2	yes	complemented
696	#464	C₂²×C₁₃	1	2	yes	complemented
697	#464	C₂²×C₁₃	1	2	yes	complemented
698	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
699	#461	C₂²×C₁₃	1	1	yes	characteristic
700	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
702	#460	C₂²×C₁₃	1	2	yes	—
703	#452	C₂²×C₁₃	1	2	yes	—
704	#450	C₂²×C₁₃	1	2	yes	—
705	#450	C₂²×C₁₃	1	2	yes	—
706	#446	C₂²×C₁₃	1	2	yes	complemented
707	#441	C₂²×C₁₃	1	2	yes	complemented
708	#440	C₂²×C₁₃	1	2	yes	—
709	#440	C₂²×C₁₃	1	2	yes	—
710	#440	C₂²×C₁₃	1	2	yes	complemented
711	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
712	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
713	#435	C₂²×C₁₃	1	2	yes	—
714	#435	C₂²×C₁₃	1	2	yes	complemented
715	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
716	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
718	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	#428	C₂²×C₁₃	1	2	yes	complemented
720	#427	C₂²×C₁₃	1	2	yes	complemented
721	C₂×#106	C₂²×C₁₃	1	2	yes	complemented
722	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
724	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	#418	C₂²×C₁₃	1	2	yes	—
726	#416	C₂²×C₁₃	1	2	yes	—
727	C₂×#102	C₂²×C₁₃	1	2	yes	—
728	C₂²×C₁₃	—	2	1	no	—
729	C₂²×C₁₃	—	2	1	no	—
730	C₂²×C₁₃	—	2	1	no	—
731	C₂²×C₁₃	—	2	1	no	—
732	C₂²×C₁₃	—	2	2	no	—
733	C₂²×C₁₃	—	2	1	no	—
734	C₂²×C₁₃	—	2	1	no	—
735	C₂²×C₁₃	—	2	1	no	—
736	C₂²×C₁₃	—	2	1	no	—
737	C₂²×C₁₃	—	4	1	no	—
738	C₂²×C₁₃	—	4	1	no	—
739	C₂²×C₁₃	—	4	1	no	—
740	C₂²×C₁₃	—	4	1	no	—
741	C₂²×C₁₃	—	4	1	no	—
742	C₂²×C₁₃	—	4	1	no	—
743	C₂²×C₁₃	—	4	1	no	—
744	C₂²×C₁₃	—	4	1	no	—
745	C₂²×C₁₃	—	8	4	no	—
746	C₂²×C₁₃	—	8	4	no	—
747	C₂²×C₁₃	#575	1	2	yes	—
748	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
749	C₄×C₁₃	—	2	1	no	—
750	C₄×C₁₃	—	2	1	no	—
751	C₄×C₁₃	—	2	1	no	—
752	C₄×C₁₃	—	2	1	no	—
753	C₄×C₁₃	—	2	1	no	—
754	C₄×C₁₃	—	2	1	no	—
755	C₄×C₁₃	—	2	1	no	—
756	C₄×C₁₃	—	2	1	no	—
757	C₄×C₁₃	—	2	1	no	—
758	C₄×C₁₃	—	2	1	no	—
759	C₄×C₁₃	—	4	1	no	—
760	C₄×C₁₃	—	4	2	no	—
761	C₄×C₁₃	—	4	1	no	—
762	C₄×C₁₃	—	4	2	no	—
763	C₄×C₁₃	—	4	2	no	—
764	C₄×C₁₃	—	4	1	no	—
765	C₄×C₁₃	—	4	1	no	—
766	C₄×C₁₃	—	4	1	no	—
767	C₄×C₁₃	—	4	2	no	—
768	C₄×C₁₃	#577	1	2	yes	—
769	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
770	C₄×C₁₃	#585	1	1	yes	characteristic
771	C₂×#41	—	2	1	no	—
772	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
773	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
774	C₂²×Q₈	—	2	1	no	—
775	C₂²×D₄	—	2	1	no	—
776	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
777	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
778	C₂³×C₄	—	2	1	no	—
779	C₂³×C₄	—	2	1	no	—
780	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
781	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
782	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
783	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
784	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
785	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
786	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
787	C₄⋊Q₈	—	2	2	no	—
788	C₄⋊Q₈	—	2	1	no	—
789	C₄⋊Q₈	—	2	1	no	—
790	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
791	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
792	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
793	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
794	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
795	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
796	#127	C₂³×C₁₃	1	1	yes	characteristic
797	#126	—	2	1	no	—
798	#126	—	2	1	no	—
799	#126	—	2	2	no	—
800	#126	—	2	2	no	—
801	#126	—	2	2	no	—
802	#126	—	2	2	no	—
803	#126	—	2	1	no	—
804	#126	—	2	1	no	—
805	#125	—	2	1	no	—
806	#125	—	2	2	no	—
807	#125	—	2	2	no	—
808	#125	—	2	2	no	—
809	#125	—	2	2	no	—
810	#125	—	2	1	no	—
811	#125	—	2	1	no	—
812	#125	—	2	1	no	—
813	#125	C₂³×C₁₃	1	1	yes	characteristic
814	#125	C₂³×C₁₃	1	1	yes	characteristic
815	#125	C₂³×C₁₃	1	2	yes	—
816	#125	C₂³×C₁₃	1	2	yes	—
817	#124	—	2	1	no	—
818	#124	—	2	2	no	—
819	#124	—	2	1	no	—
820	#124	C₂³×C₁₃	1	1	yes	characteristic
821	#124	C₂³×C₁₃	1	1	yes	characteristic
822	#123	—	2	2	no	—
823	#123	—	2	2	no	—
824	#123	—	2	1	no	—
825	#123	—	2	1	no	—
826	#123	—	2	1	no	—
827	#123	—	2	1	no	—
828	#123	—	2	1	no	—
829	#123	—	2	1	no	—
830	#123	—	2	1	no	—
831	#123	—	2	1	no	—
832	C₂²⋊Q₈	—	2	1	no	—
833	C₂²⋊Q₈	—	2	1	no	—
834	C₂²⋊Q₈	—	2	1	no	—
835	C₂²⋊Q₈	—	2	1	no	—
836	C₂²⋊Q₈	—	2	1	no	—
837	C₂²⋊Q₈	—	2	1	no	—
838	C₂²⋊Q₈	—	2	1	no	—
839	C₂²⋊Q₈	—	2	1	no	—
840	C₂²⋊Q₈	—	2	1	no	—
841	C₂²⋊Q₈	—	2	1	no	—
842	C₂²⋊Q₈	—	2	1	no	—
843	C₂²⋊Q₈	—	2	1	no	—
844	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
845	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
846	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
847	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
848	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
849	#121	—	2	1	no	—
850	#121	—	2	1	no	—
851	#121	—	2	1	no	—
852	#121	—	2	1	no	—
853	#121	—	2	1	no	—
854	#121	—	2	1	no	—
855	#121	C₂³×C₁₃	1	1	yes	characteristic
856	#121	C₂³×C₁₃	1	1	yes	characteristic
857	#121	C₂³×C₁₃	1	1	yes	characteristic
858	#121	C₂³×C₁₃	1	1	yes	characteristic
859	#120	—	2	1	no	—
860	#120	—	2	1	no	—
861	#120	—	2	1	no	—
862	#120	—	2	1	no	—
863	C₄×Q₈	—	2	2	no	—
864	C₄×Q₈	—	2	2	no	—
865	C₄×Q₈	—	2	1	no	—
866	C₄×Q₈	—	2	1	no	—
867	C₄×Q₈	—	2	1	no	—
868	C₄×Q₈	—	2	1	no	—
869	C₄×Q₈	—	2	1	no	—
870	C₄×Q₈	—	2	1	no	—
871	C₄×Q₈	—	2	1	no	—
872	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
873	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
876	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
877	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
878	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
879	C₄×D₄	—	2	1	no	—
880	C₄×D₄	—	2	1	no	—
881	C₄×D₄	—	2	1	no	—
882	C₄×D₄	—	2	1	no	—
883	C₄×D₄	—	2	1	no	—
884	C₄×D₄	—	2	1	no	—
885	C₄×D₄	—	2	1	no	—
886	C₄×D₄	—	2	1	no	—
887	C₄×D₄	—	2	1	no	—
888	C₄×D₄	—	2	1	no	—
889	C₄×D₄	—	2	1	no	—
890	C₄×D₄	—	2	1	no	—
891	C₄×D₄	—	2	1	no	—
892	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
893	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
894	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
895	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
896	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
897	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
898	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
899	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
900	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
901	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
902	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
903	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
904	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
905	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
906	#117	—	2	1	no	—
907	#117	—	2	1	no	—
908	#117	—	2	1	no	—
909	#117	—	2	2	no	—
910	#117	—	2	2	no	—
911	#117	—	2	1	no	—
912	#117	—	2	1	no	—
913	#117	—	2	1	no	—
914	#117	D₄×C₁₃	1	1	yes	characteristic
915	#117	D₄×C₁₃	1	1	yes	characteristic
916	#117	D₄×C₁₃	1	1	yes	characteristic
917	#117	C₂³×C₁₃	1	1	yes	characteristic
918	#117	C₂³×C₁₃	1	2	yes	—
919	#117	C₂³×C₁₃	1	2	yes	—
920	C₂×C₄⋊C₄	—	2	1	no	—
921	C₂×C₄⋊C₄	—	2	1	no	—
922	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
925	C₂×C₂²⋊C₄	—	2	1	no	—
926	C₂×C₂²⋊C₄	—	2	1	no	—
927	C₂×C₂²⋊C₄	—	2	1	no	—
928	C₂×C₂²⋊C₄	—	2	1	no	—
929	C₂×C₄²	—	2	1	no	—
930	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
931	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
932	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
933	#107	C₂³×C₁₃	1	2	yes	—
934	#107	C₂³×C₁₃	1	2	yes	—
935	#107	C₂³×C₁₃	1	2	yes	—
936	#107	C₂³×C₁₃	1	2	yes	—
937	#107	C₂³×C₁₃	1	2	yes	—
938	#106	C₂³×C₁₃	1	2	yes	—
939	#106	C₂³×C₁₃	1	2	yes	—
940	#106	C₂³×C₁₃	1	2	yes	—
941	#106	C₂³×C₁₃	1	2	yes	—
942	#106	C₂³×C₁₃	1	2	yes	—
943	#106	C₂³×C₁₃	1	2	yes	—
944	#106	C₂³×C₁₃	1	2	yes	—
945	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
946	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
947	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
948	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
949	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
950	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
951	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
952	#103	C₂³×C₁₃	1	2	yes	—
953	#103	C₂³×C₁₃	1	2	yes	—
954	#103	C₂³×C₁₃	1	2	yes	—
955	#103	C₂³×C₁₃	1	2	yes	—
956	#103	C₂³×C₁₃	1	2	yes	—
957	#103	C₂³×C₁₃	1	2	yes	—
958	#103	C₂³×C₁₃	1	2	yes	—
959	#102	C₂³×C₁₃	1	2	yes	—
960	#102	C₂³×C₁₃	1	2	yes	—
961	#102	C₂³×C₁₃	1	2	yes	—
962	#102	C₂³×C₁₃	1	2	yes	—
963	#102	C₂³×C₁₃	1	2	yes	—
964	#102	C₂³×C₁₃	1	2	yes	—
965	#102	C₂³×C₁₃	1	2	yes	—
966	#102	C₂³×C₁₃	1	2	yes	—
967	#102	C₂³×C₁₃	1	2	yes	—
968	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
969	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
970	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
971	#97	C₂³×C₁₃	1	2	yes	—
972	#97	C₂³×C₁₃	1	2	yes	—
973	C₄×C₈	C₂³×C₁₃	1	2	yes	—
974	C₂×C₁₃	—	2	2	no	—
975	C₂×C₁₃	—	4	1	no	—
976	C₂×C₁₃	—	4	1	no	—
977	C₂×C₁₃	—	4	2	no	—
978	C₂×C₁₃	—	8	1	no	—
979	C₂×C₁₃	—	8	1	no	—
980	C₂×C₁₃	#3489	1	1	yes	characteristic
981	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
982	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
983	C₂⁴	—	2	1	no	—
984	C₂⁴	—	2	1	no	—
985	#41	—	2	2	no	—
986	#41	—	4	2	no	—
987	#41	—	4	1	no	—
988	#41	—	8	2	no	—
989	C₂×Q₈	—	2	1	no	—
990	C₂×Q₈	—	2	1	no	—
991	C₂×Q₈	—	2	1	no	—
992	C₂×Q₈	—	2	2	no	—
993	C₂×Q₈	—	2	1	no	—
994	C₂×Q₈	—	4	4	no	—
995	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
996	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
997	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
998	C₂×D₄	—	2	2	no	—
999	C₂×D₄	—	2	2	no	—
1000	C₂×D₄	—	2	1	no	—
1001	C₂×D₄	—	2	1	no	—
1002	C₂×D₄	—	2	1	no	—
1003	C₂×D₄	—	2	1	no	—
1004	C₂×D₄	—	2	1	no	—
1005	C₂×D₄	—	2	1	no	—
1006	C₂×D₄	—	2	1	no	—
1007	C₂×D₄	—	2	1	no	—
1008	C₂×D₄	—	2	1	no	—
1009	C₂×D₄	—	4	1	no	—
1010	C₂×D₄	—	4	1	no	—
1011	C₂×D₄	—	4	4	no	—
1012	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1013	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1014	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1015	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1016	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1017	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1018	C₂²×C₄	—	2	2	no	—
1019	C₂²×C₄	—	2	1	no	—
1020	C₂²×C₄	—	2	1	no	—
1021	C₂²×C₄	—	2	1	no	—
1022	C₂²×C₄	—	2	1	no	—
1023	C₂²×C₄	—	2	1	no	—
1024	C₂²×C₄	—	2	1	no	—
1025	C₂²×C₄	—	2	1	no	—
1026	C₂²×C₄	—	2	1	no	—
1027	C₂²×C₄	—	2	1	no	—
1028	C₂²×C₄	—	2	1	no	—
1029	C₂²×C₄	—	2	1	no	—
1030	C₂²×C₄	—	8	2	no	—
1031	C₂²×C₄	—	8	2	no	—
1032	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1033	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1034	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1035	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1036	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1037	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1038	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1039	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1040	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1041	Q₁₆	—	4	2	no	—
1042	SD₁₆	—	2	4	no	—
1043	SD₁₆	—	4	2	no	—
1044	SD₁₆	—	4	2	no	—
1045	M₁₆	—	4	2	no	—
1046	C₂×C₈	—	4	2	no	—
1047	C₂×C₈	—	4	2	no	—
1048	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1049	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1050	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1051	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1052	C₄⋊C₄	—	2	1	no	—
1053	C₄⋊C₄	—	2	1	no	—
1054	C₄⋊C₄	—	2	1	no	—
1055	C₄⋊C₄	—	2	1	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	—	2	1	no	—
1059	C₄⋊C₄	—	2	1	no	—
1060	C₄⋊C₄	—	2	2	no	—
1061	C₄⋊C₄	—	2	1	no	—
1062	C₄⋊C₄	—	2	1	no	—
1063	C₄⋊C₄	—	2	1	no	—
1064	C₄⋊C₄	—	2	1	no	—
1065	C₄⋊C₄	—	2	1	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	2	2	no	—
1068	C₄⋊C₄	—	2	2	no	—
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	1	no	—
1071	C₄⋊C₄	—	2	1	no	—
1072	C₄⋊C₄	—	2	1	no	—
1073	C₄⋊C₄	—	2	1	no	—
1074	C₄⋊C₄	—	2	2	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	2	no	—
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	2	2	no	—
1080	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1081	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1082	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1083	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1084	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1085	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1086	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1087	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1088	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1089	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1090	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1091	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1092	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1093	C₂²⋊C₄	—	2	1	no	—
1094	C₂²⋊C₄	—	2	1	no	—
1095	C₂²⋊C₄	—	2	2	no	—
1096	C₂²⋊C₄	—	2	2	no	—
1097	C₂²⋊C₄	—	2	2	no	—
1098	C₂²⋊C₄	—	2	1	no	—
1099	C₂²⋊C₄	—	2	2	no	—
1100	C₂²⋊C₄	—	2	2	no	—
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	1	no	—
1103	C₂²⋊C₄	—	2	1	no	—
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	2	1	no	—
1106	C₂²⋊C₄	—	2	1	no	—
1107	C₂²⋊C₄	—	2	1	no	—
1108	C₂²⋊C₄	—	2	1	no	—
1109	C₂²⋊C₄	—	2	1	no	—
1110	C₂²⋊C₄	—	2	1	no	—
1111	C₂²⋊C₄	—	2	1	no	—
1112	C₂²⋊C₄	—	2	1	no	—
1113	C₂²⋊C₄	—	2	1	no	—
1114	C₂²⋊C₄	—	2	1	no	—
1115	C₂²⋊C₄	—	2	1	no	—
1116	C₂²⋊C₄	—	2	1	no	—
1117	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1118	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1119	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1120	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1121	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1122	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1123	C₄²	—	2	1	no	—
1124	C₄²	—	2	1	no	—
1125	C₄²	—	2	1	no	—
1126	C₄²	—	2	2	no	—
1127	C₄²	—	2	2	no	—
1128	C₄²	—	2	2	no	—
1129	C₄²	—	2	2	no	—
1130	C₄²	—	2	2	no	—
1131	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1132	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1133	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1134	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1135	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1136	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1137	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1138	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1139	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1140	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1141	C₁₃	#62126	1	1	yes	characteristic, direct product factor, Sylow
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	1	no	—
1145	C₂³	—	4	2	no	—
1146	C₂³	—	4	2	no	—
1147	C₂³	—	4	2	no	—
1148	C₂³	—	4	2	no	—
1149	C₂³	—	8	1	no	—
1150	C₂³	—	8	1	no	—
1151	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1152	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1153	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1154	Q₈	—	2	2	no	—
1155	Q₈	—	2	1	no	—
1156	Q₈	—	2	2	no	—
1157	Q₈	—	2	1	no	—
1158	Q₈	—	4	1	no	—
1159	Q₈	—	4	2	no	—
1160	Q₈	—	4	2	no	—
1161	Q₈	—	4	4	no	—
1162	Q₈	—	4	2	no	—
1163	Q₈	—	8	1	no	—
1164	D₄	—	2	2	no	—
1165	D₄	—	2	2	no	—
1166	D₄	—	2	1	no	—
1167	D₄	—	2	1	no	—
1168	D₄	—	2	1	no	—
1169	D₄	—	2	1	no	—
1170	D₄	—	2	1	no	—
1171	D₄	—	4	1	no	—
1172	D₄	—	4	2	no	—
1173	D₄	—	4	2	no	—
1174	D₄	—	4	2	no	—
1175	D₄	—	4	2	no	—
1176	D₄	—	4	2	no	—
1177	D₄	—	4	2	no	—
1178	D₄	—	8	1	no	—
1179	D₄	—	8	1	no	—
1180	D₄	—	8	1	no	—
1181	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1182	C₂×C₄	—	2	2	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	2	2	no	—
1185	C₂×C₄	—	2	2	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	4	1	no	—
1202	C₂×C₄	—	4	1	no	—
1203	C₂×C₄	—	4	2	no	—
1204	C₂×C₄	—	4	2	no	—
1205	C₂×C₄	—	4	4	no	—
1206	C₂×C₄	—	4	2	no	—
1207	C₂×C₄	—	4	2	no	—
1208	C₂×C₄	—	4	2	no	—
1209	C₂×C₄	—	8	1	no	—
1210	C₂×C₄	—	8	1	no	—
1211	C₂×C₄	—	8	1	no	—
1212	C₂×C₄	—	8	1	no	—
1213	C₂×C₄	—	8	1	no	—
1214	C₂×C₄	—	8	1	no	—
1215	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1216	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1217	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1218	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1219	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1220	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1221	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1222	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1223	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1224	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1225	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1226	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1227	C₈	—	2	2	no	—
1228	C₈	—	2	2	no	—
1229	C₈	—	2	2	no	—
1230	C₈	—	2	2	no	—
1231	C₂²	—	2	1	no	—
1232	C₂²	—	2	1	no	—
1233	C₂²	—	2	1	no	—
1234	C₂²	—	2	1	no	—
1235	C₂²	—	2	1	no	—
1236	C₂²	—	2	1	no	—
1237	C₂²	—	2	1	no	—
1238	C₂²	—	2	1	no	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	4	1	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	4	1	no	—
1247	C₂²	—	4	1	no	—
1248	C₂²	—	8	4	no	—
1249	C₂²	—	8	4	no	—
1250	C₂²	C₁₃×#575	1	2	yes	—
1251	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1252	C₄	—	2	1	no	—
1253	C₄	—	2	1	no	—
1254	C₄	—	2	1	no	—
1255	C₄	—	2	1	no	—
1256	C₄	—	2	1	no	—
1257	C₄	—	2	1	no	—
1258	C₄	—	2	1	no	—
1259	C₄	—	2	1	no	—
1260	C₄	—	2	1	no	—
1261	C₄	—	2	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	4	2	no	—
1264	C₄	—	4	2	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	2	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	2	no	—
1271	C₄	C₁₃×#577	1	2	yes	—
1272	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1273	C₄	C₁₃×#585	1	1	yes	characteristic
1274	C₂	—	2	2	no	—
1275	C₂	—	4	1	no	—
1276	C₂	—	4	1	no	—
1277	C₂	—	4	2	no	—
1278	C₂	—	8	1	no	—
1279	C₂	—	8	1	no	—
1280	C₂	C₁₃×#3489	1	1	yes	characteristic
1281	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1282	C₂	C₂×C₁₃×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3481	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3509	C₂	semidirect
3. C₁₃×#3388	C₂	semidirect
4. C₁₃×#3371	C₂	semidirect
5. C₁₃×#3350	C₂	semidirect
6. C₁₃×#3344	C₂	semidirect
7. C₁₃×#3337	C₂	semidirect
8. C₁₃×#3311	C₂	semidirect
9. C₁₃×#3310	C₂	semidirect
10. C₁₃×#3296	C₂	semidirect
11. C₁₃×#3252	C₂	semidirect
12. C₁₃×#3248	C₂	semidirect
13. C₁₃×#3246	C₂	semidirect
14. C₁₃×#3238	C₂	semidirect
15. C₁₃×#3235	C₂	semidirect
16. C₁₃×#3233	C₂	semidirect
17. C₁₃×#3116	C₂	semidirect
18. C₁₃×#3110	C₂	semidirect
19. C₁₃×#3101	C₂	semidirect
20. C₁₃×#3077	C₂	semidirect
21. C₁₃×#3076	C₂	semidirect
22. C₂×C₁₃×#476	C₂	semidirect
23. C₁₃×#2990	C₂	semidirect
26. C₁₃×#557	C₂²	semidirect
28. C₁₃×#556	C₂²	semidirect
37. C₁₃×#552	C₂²	semidirect
47. C₁₃×#533	C₂²	semidirect
48. C₁₃×#533	C₂²	semidirect
49. C₁₃×#533	C₂²	semidirect
50. C₁₃×#533	C₂²	semidirect
51. C₁₃×#533	C₂²	semidirect
53. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#501	C₂²	semidirect
67. C₁₃×#499	C₂²	semidirect
69. C₁₃×#489	C₂²	semidirect
70. C₁₃×#488	C₂²	semidirect
71. C₁₃×#485	C₂²	semidirect
72. C₁₃×#485	C₂²	semidirect
73. C₁₃×#484	C₂²	semidirect
74. C₁₃×#483	C₂²	semidirect
75. C₁₃×#483	C₂²	semidirect
77. C₁₃×#482	C₂²	semidirect
78. C₁₃×#482	C₂²	semidirect
80. C₁₃×#479	C₂²	semidirect
81. C₁₃×#479	C₂²	semidirect
82. C₁₃×#479	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#477	C₂²	semidirect
87. C₁₃×#477	C₂²	semidirect
91. C₁₃×#476	C₂²	semidirect
92. C₁₃×#476	C₂²	semidirect
93. C₁₃×#476	C₂²	semidirect
94. C₁₃×#476	C₂²	semidirect
95. C₁₃×#476	C₂²	semidirect
96. C₁₃×#475	C₂²	semidirect
97. C₁₃×#475	C₂²	semidirect
99. C₁₃×#474	C₂²	semidirect
100. C₁₃×#474	C₂²	semidirect
101. C₁₃×#470	C₂²	semidirect
103. C₁₃×#467	C₂²	semidirect
105. C₁₃×#465	C₂²	semidirect
106. C₁₃×#465	C₂²	semidirect
107. C₁₃×#464	C₂²	semidirect
108. C₁₃×#464	C₂²	semidirect
109. C₁₃×#462	C₂²	semidirect
111. C₁₃×#461	C₂²	semidirect
112. C₁₃×#461	C₂²	semidirect
117. C₁₃×#446	C₂²	semidirect
118. C₁₃×#441	C₂²	semidirect
121. C₁₃×#440	C₂²	semidirect
123. C₄×C₁₃×SD₁₆	C₂²	semidirect
125. C₁₃×#435	C₂²	semidirect
126. C₈×D₄×C₁₃	C₂²	semidirect
127. C₁₃×#432	C₂²	semidirect
128. C₁₃×#432	C₂²	semidirect
129. C₁₃×#431	C₂²	semidirect
130. C₁₃×#428	C₂²	semidirect
131. C₁₃×#427	C₂²	semidirect
132. C₂×C₁₃×#106	C₂²	semidirect
133. C₁₃×#423	C₂²	semidirect
134. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
135. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
342. #62126	C₁₃	direct (N × H)
501. #3509	C₂×C₁₃	semidirect
503. #3388	C₂×C₁₃	semidirect
504. #3371	C₂×C₁₃	semidirect
505. #3350	C₂×C₁₃	semidirect
506. #3344	C₂×C₁₃	semidirect
507. #3337	C₂×C₁₃	semidirect
508. #3311	C₂×C₁₃	semidirect
509. #3310	C₂×C₁₃	semidirect
510. #3296	C₂×C₁₃	semidirect
511. #3252	C₂×C₁₃	semidirect
512. #3248	C₂×C₁₃	semidirect
513. #3246	C₂×C₁₃	semidirect
514. #3238	C₂×C₁₃	semidirect
515. #3235	C₂×C₁₃	semidirect
516. #3233	C₂×C₁₃	semidirect
517. #3116	C₂×C₁₃	semidirect
518. #3110	C₂×C₁₃	semidirect
519. #3101	C₂×C₁₃	semidirect
520. #3077	C₂×C₁₃	semidirect
521. #3076	C₂×C₁₃	semidirect
522. C₂×#476	C₂×C₁₃	semidirect
523. #2990	C₂×C₁₃	semidirect
615. #557	C₂²×C₁₃	semidirect
617. #556	C₂²×C₁₃	semidirect
626. #552	C₂²×C₁₃	semidirect
636. #533	C₂²×C₁₃	semidirect
637. #533	C₂²×C₁₃	semidirect
638. #533	C₂²×C₁₃	semidirect
639. #533	C₂²×C₁₃	semidirect
640. #533	C₂²×C₁₃	semidirect
642. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
654. #501	C₂²×C₁₃	semidirect
655. #501	C₂²×C₁₃	semidirect
656. #499	C₂²×C₁₃	semidirect
658. #489	C₂²×C₁₃	semidirect
659. #488	C₂²×C₁₃	semidirect
660. #485	C₂²×C₁₃	semidirect
661. #485	C₂²×C₁₃	semidirect
662. #484	C₂²×C₁₃	semidirect
663. #483	C₂²×C₁₃	semidirect
664. #483	C₂²×C₁₃	semidirect
666. #482	C₂²×C₁₃	semidirect
667. #482	C₂²×C₁₃	semidirect
669. #479	C₂²×C₁₃	semidirect
670. #479	C₂²×C₁₃	semidirect
671. #479	C₂²×C₁₃	semidirect
674. #478	C₂²×C₁₃	semidirect
675. #477	C₂²×C₁₃	semidirect
676. #477	C₂²×C₁₃	semidirect
680. #476	C₂²×C₁₃	semidirect
681. #476	C₂²×C₁₃	semidirect
682. #476	C₂²×C₁₃	semidirect
683. #476	C₂²×C₁₃	semidirect
684. #476	C₂²×C₁₃	semidirect
685. #475	C₂²×C₁₃	semidirect
686. #475	C₂²×C₁₃	semidirect
688. #474	C₂²×C₁₃	semidirect
689. #474	C₂²×C₁₃	semidirect
690. #470	C₂²×C₁₃	semidirect
692. #467	C₂²×C₁₃	semidirect
694. #465	C₂²×C₁₃	semidirect
695. #465	C₂²×C₁₃	semidirect
696. #464	C₂²×C₁₃	semidirect
697. #464	C₂²×C₁₃	semidirect
698. #462	C₂²×C₁₃	semidirect
700. #461	C₂²×C₁₃	semidirect
701. #461	C₂²×C₁₃	semidirect
706. #446	C₂²×C₁₃	semidirect
707. #441	C₂²×C₁₃	semidirect
710. #440	C₂²×C₁₃	semidirect
712. C₄×SD₁₆	C₂²×C₁₃	semidirect
714. #435	C₂²×C₁₃	semidirect
715. C₈×D₄	C₂²×C₁₃	semidirect
716. #432	C₂²×C₁₃	semidirect
717. #432	C₂²×C₁₃	semidirect
718. #431	C₂²×C₁₃	semidirect
719. #428	C₂²×C₁₃	semidirect
720. #427	C₂²×C₁₃	semidirect
721. C₂×#106	C₂²×C₁₃	semidirect
722. #423	C₂²×C₁₃	semidirect
723. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
724. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1141. C₁₃	#62126	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×#3509	2
C₁₃×#3481	2
C₁₃×#3388	2
C₁₃×#3371	2
C₁₃×#3350	2
C₁₃×#3344	2
C₁₃×#3337	2
C₁₃×#3311	2
C₁₃×#3310	2
C₁₃×#3296	2
C₁₃×#3252	2
C₁₃×#3248	2
C₁₃×#3246	2
C₁₃×#3238	2
C₁₃×#3235	2
C₁₃×#3233	2
C₁₃×#3116	2
C₁₃×#3110	2
C₁₃×#3101	2
C₁₃×#3077	2
C₁₃×#3076	2
C₂×C₁₃×#476	2
C₁₃×#2990	2
#62126	13

Subgroups — C13×#62126 #15748465

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62126 #15748465