Subgroups — C₁₃×#60982 #15747321

Order 3328.

1728 conjugacy classes of subgroups.

The subgroup lattice has 1268 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3494	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3260	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3258	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3242	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3234	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3222	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3206	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3196	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3193	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3190	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3187	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3178	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3174	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3123	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3120	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3117	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3112	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3108	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3103	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#555	—	2	1	no	—
25	C₁₃×#553	—	2	1	no	—
26	C₁₃×#553	—	2	1	no	—
27	C₁₃×#551	—	2	1	no	—
28	C₁₃×#551	—	2	1	no	—
29	C₁₃×#547	—	2	1	no	—
30	C₁₃×#546	—	2	1	no	—
31	C₁₃×#546	—	2	1	no	—
32	C₁₃×#544	C₂²	1	1	yes	characteristic
33	C₁₃×#542	C₂²	1	1	yes	characteristic
34	C₁₃×#542	C₂²	1	1	yes	characteristic
35	C₁₃×#541	—	2	1	no	—
36	C₁₃×#541	—	2	1	no	—
37	C₁₃×#541	—	2	1	no	—
38	C₁₃×#541	—	2	1	no	—
39	C₁₃×#541	C₂²	1	2	yes	—
40	C₁₃×#541	C₂²	1	2	yes	—
41	C₁₃×#541	C₂²	1	2	yes	complemented
42	C₁₃×#541	C₂²	1	2	yes	complemented
43	C₁₃×#540	C₂²	1	1	yes	characteristic
44	C₁₃×#540	C₂²	1	1	yes	characteristic
45	C₁₃×#535	C₂²	1	1	yes	characteristic
46	C₁₃×#532	C₂²	1	1	yes	characteristic
47	C₁₃×#532	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#529	C₂²	1	1	yes	characteristic
50	C₁₃×#529	C₂²	1	1	yes	characteristic
51	C₂×C₁₃×#126	—	2	1	no	—
52	C₂×C₁₃×#126	—	2	1	no	—
53	C₂×C₁₃×#125	—	2	1	no	—
54	C₂×C₁₃×#125	—	2	1	no	—
55	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#525	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
58	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
60	C₁₃×#520	C₂²	1	1	yes	characteristic
61	C₁₃×#518	C₂²	1	1	yes	characteristic
62	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#499	C₂²	1	2	yes	complemented
67	C₁₃×#497	C₂²	1	2	yes	complemented
68	C₁₃×#492	C₂²	1	2	yes	complemented
69	C₁₃×#491	C₂²	1	2	yes	complemented
70	C₁₃×#490	C₂²	1	2	yes	complemented
71	C₁₃×#488	C₂²	1	2	yes	complemented
72	C₁₃×#487	C₂²	1	2	yes	complemented
73	C₁₃×#485	C₂²	1	2	yes	—
74	C₁₃×#485	C₂²	1	2	yes	—
75	C₁₃×#484	C₂²	1	2	yes	—
76	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#483	C₂²	1	2	yes	—
78	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#481	C₂²	1	1	yes	characteristic
80	C₁₃×#481	C₂²	1	1	yes	characteristic
81	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#480	C₂²	1	1	yes	characteristic
83	C₁₃×#480	C₂²	1	1	yes	characteristic
84	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#479	C₂²	1	2	yes	complemented
86	C₁₃×#479	C₂²	1	2	yes	complemented
87	C₁₃×#479	C₂²	1	2	yes	complemented
88	C₁₃×#478	C₂²	1	2	yes	complemented
89	C₁₃×#478	C₂²	1	2	yes	complemented
90	C₁₃×#478	C₂²	1	2	yes	complemented
91	C₁₃×#477	C₂²	1	2	yes	complemented
92	C₁₃×#475	C₂²	1	2	yes	complemented
93	C₁₃×#470	C₂²	1	2	yes	complemented
94	C₁₃×#468	C₂²	1	2	yes	—
95	C₁₃×#468	C₂²	1	2	yes	—
96	C₁₃×#468	C₂²	1	2	yes	complemented
97	C₁₃×#467	C₂²	1	2	yes	complemented
98	C₁₃×#465	C₂²	1	2	yes	—
99	C₁₃×#465	C₂²	1	2	yes	—
100	C₁₃×#465	C₂²	1	2	yes	complemented
101	C₁₃×#464	C₂²	1	2	yes	complemented
102	C₁₃×#464	C₂²	1	2	yes	complemented
103	C₁₃×#462	C₂²	1	2	yes	complemented
104	C₁₃×#461	C₂²	1	2	yes	complemented
105	C₁₃×#461	C₂²	1	2	yes	complemented
106	C₁₃×#461	C₂²	1	2	yes	complemented
107	C₁₃×#460	C₂²	1	2	yes	complemented
108	C₁₃×#460	C₂²	1	2	yes	complemented
109	C₁₃×#452	C₂²	1	2	yes	—
110	C₁₃×#452	C₂²	1	2	yes	—
111	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#450	C₂²	1	2	yes	—
114	C₁₃×#450	C₂²	1	2	yes	—
115	C₁₃×#448	C₂²	1	1	yes	characteristic
116	C₁₃×#448	C₂²	1	1	yes	characteristic
117	C₁₃×#448	C₂²	1	1	yes	characteristic
118	C₁₃×#448	C₂²	1	1	yes	characteristic
119	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#441	C₂²	1	2	yes	complemented
122	C₁₃×#440	C₂²	1	2	yes	complemented
123	C₁₃×#440	C₂²	1	2	yes	complemented
124	C₁₃×#440	C₂²	1	2	yes	complemented
125	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
126	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
127	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
128	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
129	C₁₃×#433	C₂²	1	2	yes	—
130	C₁₃×#433	C₂²	1	2	yes	—
131	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#424	C₂²	1	2	yes	complemented
136	C₁₃×#407	C₂²	1	1	yes	characteristic
137	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
138	C₁₃×#405	C₂²	1	2	yes	complemented
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
143	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
144	C₂²×D₄×C₁₃	—	2	1	no	—
145	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
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×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
156	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
157	C₁₃×C₄⋊Q₈	—	2	1	no	—
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
161	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×#127	C₂³	1	1	yes	characteristic
165	C₁₃×#127	C₂³	1	1	yes	characteristic
166	C₁₃×#126	—	2	1	no	—
167	C₁₃×#126	—	2	1	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#126	—	2	1	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	—	2	2	no	—
183	C₁₃×#125	—	2	2	no	—
184	C₁₃×#125	—	2	2	no	—
185	C₁₃×#125	—	2	2	no	—
186	C₁₃×#125	—	2	1	no	—
187	C₁₃×#125	—	2	1	no	—
188	C₁₃×#125	—	2	1	no	—
189	C₁₃×#125	C₂³	1	2	yes	—
190	C₁₃×#125	C₂³	1	1	yes	characteristic
191	C₁₃×#125	C₂³	1	2	yes	—
192	C₁₃×#125	C₂³	1	1	yes	characteristic
193	C₁₃×#124	—	2	1	no	—
194	C₁₃×#124	—	2	1	no	—
195	C₁₃×#124	—	2	1	no	—
196	C₁₃×#124	—	2	1	no	—
197	C₁₃×#124	C₂³	1	1	yes	characteristic
198	C₁₃×#124	C₂³	1	1	yes	characteristic
199	C₁₃×#123	—	2	1	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	1	no	—
203	C₁₃×#123	—	2	1	no	—
204	C₁₃×#123	—	2	1	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×#123	—	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	—	2	1	no	—
213	C₁₃×C₂²⋊Q₈	—	2	1	no	—
214	C₁₃×C₂²⋊Q₈	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×#121	—	2	1	no	—
223	C₁₃×#121	—	2	1	no	—
224	C₁₃×#121	—	2	1	no	—
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	C₂³	1	1	yes	characteristic
233	C₁₃×#121	C₂³	1	1	yes	characteristic
234	C₁₃×#121	C₂³	1	1	yes	characteristic
235	C₁₃×#121	C₂³	1	1	yes	characteristic
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#120	—	2	1	no	—
239	C₁₃×#120	—	2	1	no	—
240	C₁₃×#120	—	2	1	no	—
241	C₄×Q₈×C₁₃	—	2	1	no	—
242	C₄×Q₈×C₁₃	—	2	1	no	—
243	C₄×Q₈×C₁₃	—	2	1	no	—
244	C₄×Q₈×C₁₃	—	2	1	no	—
245	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
246	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
249	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
261	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
262	C₄×D₄×C₁₃	C₂³	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	C₁₃×#117	—	2	1	no	—
268	C₁₃×#117	—	2	1	no	—
269	C₁₃×#117	—	2	1	no	—
270	C₁₃×#117	D₄	1	1	yes	characteristic
271	C₁₃×#117	D₄	1	1	yes	characteristic
272	C₁₃×#117	D₄	1	1	yes	characteristic
273	C₁₃×#117	D₄	1	1	yes	characteristic
274	C₁₃×#117	C₂³	1	1	yes	characteristic
275	C₁₃×#117	C₂³	1	1	yes	characteristic
276	C₁₃×#117	C₂³	1	1	yes	characteristic
277	C₁₃×#117	C₂³	1	1	yes	characteristic
278	C₁₃×#117	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
280	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
281	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
282	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
283	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
284	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
285	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
286	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
287	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
288	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
289	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₁₃×C₂²⋊C₄	—	2	1	no	—
298	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
299	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
300	C₂×C₄²×C₁₃	—	2	1	no	—
301	C₂×C₄²×C₁₃	—	2	1	no	—
302	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
304	C₁₃×#107	C₂³	1	2	yes	—
305	C₁₃×#107	C₂³	1	2	yes	—
306	C₁₃×#107	C₂³	1	2	yes	—
307	C₁₃×#107	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×C₄⋊C₈	C₂³	1	2	yes	—
313	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
314	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₃×#103	C₂³	1	2	yes	—
317	C₁₃×#103	C₂³	1	2	yes	—
318	C₁₃×#103	C₂³	1	2	yes	—
319	C₁₃×#103	C₂³	1	2	yes	—
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×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
333	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×#97	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₄×C₈×C₁₃	C₂³	1	2	yes	—
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#60982	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
345	C₁₃×#41	—	4	2	no	—
346	C₁₃×#41	—	8	2	no	—
347	C₁₃×#41	—	8	2	no	—
348	C₂×Q₈×C₁₃	—	2	1	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	—	4	2	no	—
353	C₂×Q₈×C₁₃	—	4	2	no	—
354	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
356	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
357	C₂×D₄×C₁₃	—	2	1	no	—
358	C₂×D₄×C₁₃	—	2	1	no	—
359	C₂×D₄×C₁₃	—	2	1	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	2	no	—
370	C₂×D₄×C₁₃	—	8	2	no	—
371	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	—	2	1	no	—
375	C₂²×C₄×C₁₃	—	2	1	no	—
376	C₂²×C₄×C₁₃	—	2	1	no	—
377	C₂²×C₄×C₁₃	—	2	1	no	—
378	C₂²×C₄×C₁₃	—	2	1	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	—	4	2	no	—
387	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₁₃×Q₁₆	—	4	2	no	—
398	C₁₃×Q₁₆	—	4	2	no	—
399	C₁₃×SD₁₆	—	4	2	no	—
400	C₁₃×SD₁₆	—	4	2	no	—
401	C₁₃×SD₁₆	—	4	2	no	—
402	C₁₃×SD₁₆	—	4	2	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	C₂⁴	1	2	yes	—
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	C₁₃×C₄⋊C₄	—	2	1	no	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	—	2	1	no	—
414	C₁₃×C₄⋊C₄	—	2	2	no	—
415	C₁₃×C₄⋊C₄	—	2	2	no	—
416	C₁₃×C₄⋊C₄	—	2	2	no	—
417	C₁₃×C₄⋊C₄	—	2	2	no	—
418	C₁₃×C₄⋊C₄	—	2	2	no	—
419	C₁₃×C₄⋊C₄	—	2	2	no	—
420	C₁₃×C₄⋊C₄	—	2	2	no	—
421	C₁₃×C₄⋊C₄	—	2	2	no	—
422	C₁₃×C₄⋊C₄	—	2	2	no	—
423	C₁₃×C₄⋊C₄	—	2	2	no	—
424	C₁₃×C₄⋊C₄	—	2	2	no	—
425	C₁₃×C₄⋊C₄	—	2	2	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	1	no	—
435	C₁₃×C₄⋊C₄	—	2	1	no	—
436	C₁₃×C₄⋊C₄	—	2	1	no	—
437	C₁₃×C₄⋊C₄	—	2	1	no	—
438	C₁₃×C₄⋊C₄	—	2	1	no	—
439	C₁₃×C₄⋊C₄	—	2	1	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	C₂×D₄	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
448	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
449	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	no	—
459	C₁₃×C₂²⋊C₄	—	2	1	no	—
460	C₁₃×C₂²⋊C₄	—	2	1	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	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
484	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
485	C₄²×C₁₃	—	2	2	no	—
486	C₄²×C₁₃	—	2	2	no	—
487	C₄²×C₁₃	—	2	2	no	—
488	C₄²×C₁₃	—	2	2	no	—
489	C₄²×C₁₃	—	2	1	no	—
490	C₄²×C₁₃	—	2	1	no	—
491	C₄²×C₁₃	—	2	1	no	—
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	C₂⁴	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	#3494	C₂×C₁₃	1	1	yes	characteristic
501	C₂×#541	C₂×C₁₃	1	1	yes	characteristic, complemented
502	#3260	C₂×C₁₃	1	2	yes	complemented
503	#3258	C₂×C₁₃	1	2	yes	complemented
504	#3242	C₂×C₁₃	1	2	yes	complemented
505	#3234	C₂×C₁₃	1	1	yes	characteristic, complemented
506	#3232	C₂×C₁₃	1	1	yes	characteristic, complemented
507	#3222	C₂×C₁₃	1	2	yes	complemented
508	#3218	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3206	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#3196	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3193	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3190	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3187	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3178	C₂×C₁₃	1	2	yes	complemented
515	#3174	C₂×C₁₃	1	2	yes	complemented
516	#3123	C₂×C₁₃	1	2	yes	complemented
517	#3120	C₂×C₁₃	1	2	yes	complemented
518	#3117	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3112	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3108	C₂×C₁₃	1	1	yes	characteristic, complemented
521	#3103	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#2924	C₂×C₁₃	1	1	yes	characteristic, complemented
523	C₂³×C₁₃	—	2	2	no	—
524	C₂³×C₁₃	—	2	1	no	—
525	C₂³×C₁₃	—	2	1	no	—
526	C₂³×C₁₃	—	2	1	no	—
527	C₂³×C₁₃	—	4	1	no	—
528	C₂³×C₁₃	—	4	1	no	—
529	C₂³×C₁₃	—	4	2	no	—
530	C₂³×C₁₃	—	8	1	no	—
531	C₂³×C₁₃	—	8	1	no	—
532	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
533	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
535	Q₈×C₁₃	—	2	2	no	—
536	Q₈×C₁₃	—	2	2	no	—
537	Q₈×C₁₃	—	2	2	no	—
538	Q₈×C₁₃	—	2	2	no	—
539	Q₈×C₁₃	—	2	2	no	—
540	Q₈×C₁₃	—	4	2	no	—
541	Q₈×C₁₃	—	4	2	no	—
542	Q₈×C₁₃	—	8	1	no	—
543	Q₈×C₁₃	—	8	1	no	—
544	D₄×C₁₃	—	2	2	no	—
545	D₄×C₁₃	—	2	2	no	—
546	D₄×C₁₃	—	2	2	no	—
547	D₄×C₁₃	—	4	2	no	—
548	D₄×C₁₃	—	4	2	no	—
549	D₄×C₁₃	—	4	2	no	—
550	D₄×C₁₃	—	4	2	no	—
551	D₄×C₁₃	—	4	2	no	—
552	D₄×C₁₃	—	8	1	no	—
553	D₄×C₁₃	—	8	1	no	—
554	D₄×C₁₃	—	8	1	no	—
555	D₄×C₁₃	—	8	1	no	—
556	D₄×C₁₃	—	8	1	no	—
557	D₄×C₁₃	—	8	1	no	—
558	D₄×C₁₃	—	8	1	no	—
559	C₂×C₄×C₁₃	—	2	2	no	—
560	C₂×C₄×C₁₃	—	2	2	no	—
561	C₂×C₄×C₁₃	—	2	2	no	—
562	C₂×C₄×C₁₃	—	2	2	no	—
563	C₂×C₄×C₁₃	—	2	2	no	—
564	C₂×C₄×C₁₃	—	2	1	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	2	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	—	4	1	no	—
574	C₂×C₄×C₁₃	—	4	1	no	—
575	C₂×C₄×C₁₃	—	4	1	no	—
576	C₂×C₄×C₁₃	—	4	1	no	—
577	C₂×C₄×C₁₃	—	4	1	no	—
578	C₂×C₄×C₁₃	—	4	2	no	—
579	C₂×C₄×C₁₃	—	4	2	no	—
580	C₂×C₄×C₁₃	—	4	2	no	—
581	C₂×C₄×C₁₃	—	4	2	no	—
582	C₂×C₄×C₁₃	—	4	2	no	—
583	C₂×C₄×C₁₃	—	8	1	no	—
584	C₂×C₄×C₁₃	—	8	1	no	—
585	C₂×C₄×C₁₃	—	8	1	no	—
586	C₂×C₄×C₁₃	—	8	1	no	—
587	C₂×C₄×C₁₃	—	8	1	no	—
588	C₂×C₄×C₁₃	—	8	1	no	—
589	C₂×C₄×C₁₃	—	8	1	no	—
590	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
591	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
592	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
593	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
594	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
595	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
596	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
602	C₈×C₁₃	—	2	2	no	—
603	C₈×C₁₃	—	2	2	no	—
604	C₈×C₁₃	—	2	2	no	—
605	C₈×C₁₃	—	2	2	no	—
606	#555	—	2	1	no	—
607	#553	—	2	1	no	—
608	#553	—	2	1	no	—
609	#551	—	2	1	no	—
610	#551	—	2	1	no	—
611	#547	—	2	1	no	—
612	#546	—	2	1	no	—
613	#546	—	2	1	no	—
614	#544	C₂²×C₁₃	1	1	yes	characteristic
615	#542	C₂²×C₁₃	1	1	yes	characteristic
616	#542	C₂²×C₁₃	1	1	yes	characteristic
617	#541	—	2	1	no	—
618	#541	—	2	1	no	—
619	#541	—	2	1	no	—
620	#541	—	2	1	no	—
621	#541	C₂²×C₁₃	1	2	yes	—
622	#541	C₂²×C₁₃	1	2	yes	—
623	#541	C₂²×C₁₃	1	2	yes	complemented
624	#541	C₂²×C₁₃	1	2	yes	complemented
625	#540	C₂²×C₁₃	1	1	yes	characteristic
626	#540	C₂²×C₁₃	1	1	yes	characteristic
627	#535	C₂²×C₁₃	1	1	yes	characteristic
628	#532	C₂²×C₁₃	1	1	yes	characteristic
629	#532	C₂²×C₁₃	1	1	yes	characteristic
630	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#529	C₂²×C₁₃	1	1	yes	characteristic
632	#529	C₂²×C₁₃	1	1	yes	characteristic
633	C₂×#126	—	2	1	no	—
634	C₂×#126	—	2	1	no	—
635	C₂×#125	—	2	1	no	—
636	C₂×#125	—	2	1	no	—
637	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	#525	C₂²×C₁₃	1	1	yes	characteristic
639	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
640	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
641	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
642	#520	C₂²×C₁₃	1	1	yes	characteristic
643	#518	C₂²×C₁₃	1	1	yes	characteristic
644	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
647	#501	C₂²×C₁₃	1	2	yes	complemented
648	#499	C₂²×C₁₃	1	2	yes	complemented
649	#497	C₂²×C₁₃	1	2	yes	complemented
650	#492	C₂²×C₁₃	1	2	yes	complemented
651	#491	C₂²×C₁₃	1	2	yes	complemented
652	#490	C₂²×C₁₃	1	2	yes	complemented
653	#488	C₂²×C₁₃	1	2	yes	complemented
654	#487	C₂²×C₁₃	1	2	yes	complemented
655	#485	C₂²×C₁₃	1	2	yes	—
656	#485	C₂²×C₁₃	1	2	yes	—
657	#484	C₂²×C₁₃	1	2	yes	—
658	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	#483	C₂²×C₁₃	1	2	yes	—
660	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#481	C₂²×C₁₃	1	1	yes	characteristic
662	#481	C₂²×C₁₃	1	1	yes	characteristic
663	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
664	#480	C₂²×C₁₃	1	1	yes	characteristic
665	#480	C₂²×C₁₃	1	1	yes	characteristic
666	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	#479	C₂²×C₁₃	1	2	yes	complemented
668	#479	C₂²×C₁₃	1	2	yes	complemented
669	#479	C₂²×C₁₃	1	2	yes	complemented
670	#478	C₂²×C₁₃	1	2	yes	complemented
671	#478	C₂²×C₁₃	1	2	yes	complemented
672	#478	C₂²×C₁₃	1	2	yes	complemented
673	#477	C₂²×C₁₃	1	2	yes	complemented
674	#475	C₂²×C₁₃	1	2	yes	complemented
675	#470	C₂²×C₁₃	1	2	yes	complemented
676	#468	C₂²×C₁₃	1	2	yes	—
677	#468	C₂²×C₁₃	1	2	yes	—
678	#468	C₂²×C₁₃	1	2	yes	complemented
679	#467	C₂²×C₁₃	1	2	yes	complemented
680	#465	C₂²×C₁₃	1	2	yes	—
681	#465	C₂²×C₁₃	1	2	yes	—
682	#465	C₂²×C₁₃	1	2	yes	complemented
683	#464	C₂²×C₁₃	1	2	yes	complemented
684	#464	C₂²×C₁₃	1	2	yes	complemented
685	#462	C₂²×C₁₃	1	2	yes	complemented
686	#461	C₂²×C₁₃	1	2	yes	complemented
687	#461	C₂²×C₁₃	1	2	yes	complemented
688	#461	C₂²×C₁₃	1	2	yes	complemented
689	#460	C₂²×C₁₃	1	2	yes	complemented
690	#460	C₂²×C₁₃	1	2	yes	complemented
691	#452	C₂²×C₁₃	1	2	yes	—
692	#452	C₂²×C₁₃	1	2	yes	—
693	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
694	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
695	#450	C₂²×C₁₃	1	2	yes	—
696	#450	C₂²×C₁₃	1	2	yes	—
697	#448	C₂²×C₁₃	1	1	yes	characteristic
698	#448	C₂²×C₁₃	1	1	yes	characteristic
699	#448	C₂²×C₁₃	1	1	yes	characteristic
700	#448	C₂²×C₁₃	1	1	yes	characteristic
701	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
702	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
703	#441	C₂²×C₁₃	1	2	yes	complemented
704	#440	C₂²×C₁₃	1	2	yes	complemented
705	#440	C₂²×C₁₃	1	2	yes	complemented
706	#440	C₂²×C₁₃	1	2	yes	complemented
707	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
708	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
709	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
710	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
711	#433	C₂²×C₁₃	1	2	yes	—
712	#433	C₂²×C₁₃	1	2	yes	—
713	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
715	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
716	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	#424	C₂²×C₁₃	1	2	yes	complemented
718	#407	C₂²×C₁₃	1	1	yes	characteristic
719	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
720	#405	C₂²×C₁₃	1	2	yes	complemented
721	C₂²×C₁₃	—	2	1	no	—
722	C₂²×C₁₃	—	2	1	no	—
723	C₂²×C₁₃	—	2	1	no	—
724	C₂²×C₁₃	—	2	1	no	—
725	C₂²×C₁₃	—	2	1	no	—
726	C₂²×C₁₃	—	2	1	no	—
727	C₂²×C₁₃	—	2	1	no	—
728	C₂²×C₁₃	—	2	1	no	—
729	C₂²×C₁₃	—	4	1	no	—
730	C₂²×C₁₃	—	4	1	no	—
731	C₂²×C₁₃	—	4	1	no	—
732	C₂²×C₁₃	—	4	1	no	—
733	C₂²×C₁₃	—	4	1	no	—
734	C₂²×C₁₃	—	4	1	no	—
735	C₂²×C₁₃	—	4	1	no	—
736	C₂²×C₁₃	—	4	1	no	—
737	C₂²×C₁₃	—	4	1	no	—
738	C₂²×C₁₃	—	8	2	no	—
739	C₂²×C₁₃	—	16	2	no	—
740	C₂²×C₁₃	#577	1	2	yes	—
741	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
742	C₄×C₁₃	—	2	1	no	—
743	C₄×C₁₃	—	2	1	no	—
744	C₄×C₁₃	—	2	1	no	—
745	C₄×C₁₃	—	2	1	no	—
746	C₄×C₁₃	—	2	1	no	—
747	C₄×C₁₃	—	2	1	no	—
748	C₄×C₁₃	—	2	1	no	—
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	—	4	2	no	—
754	C₄×C₁₃	—	4	1	no	—
755	C₄×C₁₃	—	4	1	no	—
756	C₄×C₁₃	—	4	2	no	—
757	C₄×C₁₃	—	4	2	no	—
758	C₄×C₁₃	—	4	2	no	—
759	C₄×C₁₃	—	4	1	no	—
760	C₄×C₁₃	—	4	1	no	—
761	C₄×C₁₃	—	4	1	no	—
762	C₄×C₁₃	#585	1	2	yes	—
763	C₂×#41	—	2	1	no	—
764	C₂×#41	—	2	1	no	—
765	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
766	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
767	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
768	C₂²×D₄	—	2	1	no	—
769	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
770	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
771	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
772	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
773	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
774	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
775	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
776	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
777	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
778	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
779	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
780	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
781	C₄⋊Q₈	—	2	1	no	—
782	C₄⋊Q₈	—	2	1	no	—
783	C₄⋊Q₈	—	2	1	no	—
784	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
785	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
786	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
787	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
788	#127	C₂³×C₁₃	1	1	yes	characteristic
789	#127	C₂³×C₁₃	1	1	yes	characteristic
790	#126	—	2	1	no	—
791	#126	—	2	1	no	—
792	#126	—	2	2	no	—
793	#126	—	2	2	no	—
794	#126	—	2	2	no	—
795	#126	—	2	2	no	—
796	#126	—	2	2	no	—
797	#126	—	2	2	no	—
798	#126	—	2	2	no	—
799	#126	—	2	2	no	—
800	#126	—	2	1	no	—
801	#126	—	2	1	no	—
802	#125	—	2	2	no	—
803	#125	—	2	2	no	—
804	#125	—	2	2	no	—
805	#125	—	2	2	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	2	yes	—
814	#125	C₂³×C₁₃	1	2	yes	—
815	#125	C₂³×C₁₃	1	1	yes	characteristic
816	#125	C₂³×C₁₃	1	1	yes	characteristic
817	#124	—	2	1	no	—
818	#124	—	2	1	no	—
819	#124	—	2	1	no	—
820	#124	—	2	1	no	—
821	#124	C₂³×C₁₃	1	1	yes	characteristic
822	#124	C₂³×C₁₃	1	1	yes	characteristic
823	#123	—	2	1	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	C₂³×C₁₃	1	2	yes	—
841	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
842	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
843	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
844	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
845	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
846	#121	—	2	1	no	—
847	#121	—	2	1	no	—
848	#121	—	2	1	no	—
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	—	2	1	no	—
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	#121	C₂³×C₁₃	1	1	yes	characteristic
860	#121	C₂³×C₁₃	1	1	yes	characteristic
861	#121	C₂³×C₁₃	1	1	yes	characteristic
862	#120	—	2	1	no	—
863	#120	—	2	1	no	—
864	#120	—	2	1	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	C₂³×C₁₃	1	2	yes	—
870	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
871	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
872	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
873	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₄×D₄	—	2	1	no	—
876	C₄×D₄	—	2	1	no	—
877	C₄×D₄	—	2	1	no	—
878	C₄×D₄	—	2	1	no	—
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	C₂³×C₁₃	1	1	yes	characteristic
886	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
887	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
888	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
889	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
890	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
891	#117	—	2	1	no	—
892	#117	—	2	1	no	—
893	#117	—	2	1	no	—
894	#117	D₄×C₁₃	1	1	yes	characteristic
895	#117	D₄×C₁₃	1	1	yes	characteristic
896	#117	D₄×C₁₃	1	1	yes	characteristic
897	#117	D₄×C₁₃	1	1	yes	characteristic
898	#117	C₂³×C₁₃	1	1	yes	characteristic
899	#117	C₂³×C₁₃	1	1	yes	characteristic
900	#117	C₂³×C₁₃	1	1	yes	characteristic
901	#117	C₂³×C₁₃	1	1	yes	characteristic
902	#117	C₂³×C₁₃	1	1	yes	characteristic
903	C₂×C₄⋊C₄	—	2	1	no	—
904	C₂×C₄⋊C₄	—	2	1	no	—
905	C₂×C₄⋊C₄	—	2	1	no	—
906	C₂×C₄⋊C₄	—	2	1	no	—
907	C₂×C₄⋊C₄	—	2	1	no	—
908	C₂×C₄⋊C₄	—	2	1	no	—
909	C₂×C₄⋊C₄	—	2	1	no	—
910	C₂×C₄⋊C₄	—	2	1	no	—
911	C₂×C₄⋊C₄	—	2	1	no	—
912	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
913	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
917	C₂×C₂²⋊C₄	—	2	1	no	—
918	C₂×C₂²⋊C₄	—	2	1	no	—
919	C₂×C₂²⋊C₄	—	2	1	no	—
920	C₂×C₂²⋊C₄	—	2	1	no	—
921	C₂×C₂²⋊C₄	—	2	1	no	—
922	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
924	C₂×C₄²	—	2	1	no	—
925	C₂×C₄²	—	2	1	no	—
926	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
927	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
928	#107	C₂³×C₁₃	1	2	yes	—
929	#107	C₂³×C₁₃	1	2	yes	—
930	#107	C₂³×C₁₃	1	2	yes	—
931	#107	C₂³×C₁₃	1	2	yes	—
932	#106	C₂³×C₁₃	1	2	yes	—
933	#106	C₂³×C₁₃	1	2	yes	—
934	#106	C₂³×C₁₃	1	2	yes	—
935	#106	C₂³×C₁₃	1	2	yes	—
936	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
937	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
938	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
939	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
940	#103	C₂³×C₁₃	1	2	yes	—
941	#103	C₂³×C₁₃	1	2	yes	—
942	#103	C₂³×C₁₃	1	2	yes	—
943	#103	C₂³×C₁₃	1	2	yes	—
944	#103	C₂³×C₁₃	1	2	yes	—
945	#103	C₂³×C₁₃	1	2	yes	—
946	#103	C₂³×C₁₃	1	2	yes	—
947	#103	C₂³×C₁₃	1	2	yes	—
948	#103	C₂³×C₁₃	1	2	yes	—
949	#103	C₂³×C₁₃	1	2	yes	—
950	#102	C₂³×C₁₃	1	2	yes	—
951	#102	C₂³×C₁₃	1	2	yes	—
952	#102	C₂³×C₁₃	1	2	yes	—
953	#102	C₂³×C₁₃	1	2	yes	—
954	#102	C₂³×C₁₃	1	2	yes	—
955	#102	C₂³×C₁₃	1	2	yes	—
956	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
957	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
958	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
959	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
960	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
961	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
962	#97	C₂³×C₁₃	1	2	yes	—
963	#97	C₂³×C₁₃	1	2	yes	—
964	C₄×C₈	C₂³×C₁₃	1	2	yes	—
965	C₄×C₈	C₂³×C₁₃	1	2	yes	—
966	C₂×C₁₃	—	2	2	no	—
967	C₂×C₁₃	—	4	1	no	—
968	C₂×C₁₃	—	4	1	no	—
969	C₂×C₁₃	—	8	1	no	—
970	C₂×C₁₃	—	8	1	no	—
971	C₂×C₁₃	—	8	1	no	—
972	C₂×C₁₃	#3449	1	1	yes	characteristic
973	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
974	C₂×C₁₃	#3586	1	1	yes	characteristic
975	C₂⁴	—	2	1	no	—
976	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
977	#41	—	4	2	no	—
978	#41	—	8	2	no	—
979	#41	—	8	2	no	—
980	C₂×Q₈	—	2	1	no	—
981	C₂×Q₈	—	2	1	no	—
982	C₂×Q₈	—	2	1	no	—
983	C₂×Q₈	—	2	1	no	—
984	C₂×Q₈	—	4	2	no	—
985	C₂×Q₈	—	4	2	no	—
986	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
987	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
988	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
989	C₂×D₄	—	2	1	no	—
990	C₂×D₄	—	2	1	no	—
991	C₂×D₄	—	2	1	no	—
992	C₂×D₄	—	2	1	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	1	no	—
995	C₂×D₄	—	2	1	no	—
996	C₂×D₄	—	2	1	no	—
997	C₂×D₄	—	2	1	no	—
998	C₂×D₄	—	2	1	no	—
999	C₂×D₄	—	2	1	no	—
1000	C₂×D₄	—	2	1	no	—
1001	C₂×D₄	—	4	2	no	—
1002	C₂×D₄	—	8	2	no	—
1003	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1004	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1005	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1006	C₂²×C₄	—	2	1	no	—
1007	C₂²×C₄	—	2	1	no	—
1008	C₂²×C₄	—	2	1	no	—
1009	C₂²×C₄	—	2	1	no	—
1010	C₂²×C₄	—	2	1	no	—
1011	C₂²×C₄	—	2	1	no	—
1012	C₂²×C₄	—	2	1	no	—
1013	C₂²×C₄	—	2	1	no	—
1014	C₂²×C₄	—	2	1	no	—
1015	C₂²×C₄	—	2	1	no	—
1016	C₂²×C₄	—	2	1	no	—
1017	C₂²×C₄	—	2	1	no	—
1018	C₂²×C₄	—	4	2	no	—
1019	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1020	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1021	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1022	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1023	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1024	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1025	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1026	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1027	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1028	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1029	Q₁₆	—	4	2	no	—
1030	Q₁₆	—	4	2	no	—
1031	SD₁₆	—	4	2	no	—
1032	SD₁₆	—	4	2	no	—
1033	SD₁₆	—	4	2	no	—
1034	SD₁₆	—	4	2	no	—
1035	SD₁₆	—	4	2	no	—
1036	SD₁₆	—	4	2	no	—
1037	M₁₆	—	4	2	no	—
1038	C₂×C₈	—	4	2	no	—
1039	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1040	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1041	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1042	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1043	C₄⋊C₄	—	2	1	no	—
1044	C₄⋊C₄	—	2	1	no	—
1045	C₄⋊C₄	—	2	1	no	—
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	2	2	no	—
1049	C₄⋊C₄	—	2	2	no	—
1050	C₄⋊C₄	—	2	2	no	—
1051	C₄⋊C₄	—	2	2	no	—
1052	C₄⋊C₄	—	2	2	no	—
1053	C₄⋊C₄	—	2	2	no	—
1054	C₄⋊C₄	—	2	2	no	—
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	2	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	—	2	2	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	2	2	no	—
1061	C₄⋊C₄	—	2	2	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	1	no	—
1067	C₄⋊C₄	—	2	1	no	—
1068	C₄⋊C₄	—	2	1	no	—
1069	C₄⋊C₄	—	2	1	no	—
1070	C₄⋊C₄	—	2	1	no	—
1071	C₄⋊C₄	—	2	1	no	—
1072	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1073	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1074	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1075	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1076	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1077	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1078	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1079	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1080	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1081	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1082	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1083	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1084	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1085	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1086	C₂²⋊C₄	—	2	1	no	—
1087	C₂²⋊C₄	—	2	2	no	—
1088	C₂²⋊C₄	—	2	2	no	—
1089	C₂²⋊C₄	—	2	2	no	—
1090	C₂²⋊C₄	—	2	2	no	—
1091	C₂²⋊C₄	—	2	1	no	—
1092	C₂²⋊C₄	—	2	1	no	—
1093	C₂²⋊C₄	—	2	1	no	—
1094	C₂²⋊C₄	—	2	1	no	—
1095	C₂²⋊C₄	—	2	1	no	—
1096	C₂²⋊C₄	—	2	1	no	—
1097	C₂²⋊C₄	—	2	1	no	—
1098	C₂²⋊C₄	—	2	1	no	—
1099	C₂²⋊C₄	—	2	1	no	—
1100	C₂²⋊C₄	—	2	1	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	C₂×D₄×C₁₃	1	1	yes	characteristic
1110	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1111	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1112	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1113	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1114	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1115	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1116	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1117	C₄²	—	2	2	no	—
1118	C₄²	—	2	2	no	—
1119	C₄²	—	2	2	no	—
1120	C₄²	—	2	2	no	—
1121	C₄²	—	2	1	no	—
1122	C₄²	—	2	1	no	—
1123	C₄²	—	2	1	no	—
1124	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1125	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1126	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1127	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1128	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1129	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1130	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1131	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1132	C₁₃	#60982	1	1	yes	characteristic, direct product factor, Sylow
1133	C₂³	—	2	2	no	—
1134	C₂³	—	2	1	no	—
1135	C₂³	—	2	1	no	—
1136	C₂³	—	2	1	no	—
1137	C₂³	—	4	1	no	—
1138	C₂³	—	4	1	no	—
1139	C₂³	—	4	2	no	—
1140	C₂³	—	8	1	no	—
1141	C₂³	—	8	1	no	—
1142	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1143	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1144	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1145	Q₈	—	2	2	no	—
1146	Q₈	—	2	2	no	—
1147	Q₈	—	2	2	no	—
1148	Q₈	—	2	2	no	—
1149	Q₈	—	2	2	no	—
1150	Q₈	—	4	2	no	—
1151	Q₈	—	4	2	no	—
1152	Q₈	—	8	1	no	—
1153	Q₈	—	8	1	no	—
1154	D₄	—	2	2	no	—
1155	D₄	—	2	2	no	—
1156	D₄	—	2	2	no	—
1157	D₄	—	4	2	no	—
1158	D₄	—	4	2	no	—
1159	D₄	—	4	2	no	—
1160	D₄	—	4	2	no	—
1161	D₄	—	4	2	no	—
1162	D₄	—	8	1	no	—
1163	D₄	—	8	1	no	—
1164	D₄	—	8	1	no	—
1165	D₄	—	8	1	no	—
1166	D₄	—	8	1	no	—
1167	D₄	—	8	1	no	—
1168	D₄	—	8	1	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	2	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	4	1	no	—
1184	C₂×C₄	—	4	1	no	—
1185	C₂×C₄	—	4	1	no	—
1186	C₂×C₄	—	4	1	no	—
1187	C₂×C₄	—	4	1	no	—
1188	C₂×C₄	—	4	2	no	—
1189	C₂×C₄	—	4	2	no	—
1190	C₂×C₄	—	4	2	no	—
1191	C₂×C₄	—	4	2	no	—
1192	C₂×C₄	—	4	2	no	—
1193	C₂×C₄	—	8	1	no	—
1194	C₂×C₄	—	8	1	no	—
1195	C₂×C₄	—	8	1	no	—
1196	C₂×C₄	—	8	1	no	—
1197	C₂×C₄	—	8	1	no	—
1198	C₂×C₄	—	8	1	no	—
1199	C₂×C₄	—	8	1	no	—
1200	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1201	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1202	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1203	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1204	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1205	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1206	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1207	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1208	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1209	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1210	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1211	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1212	C₈	—	2	2	no	—
1213	C₈	—	2	2	no	—
1214	C₈	—	2	2	no	—
1215	C₈	—	2	2	no	—
1216	C₂²	—	2	1	no	—
1217	C₂²	—	2	1	no	—
1218	C₂²	—	2	1	no	—
1219	C₂²	—	2	1	no	—
1220	C₂²	—	2	1	no	—
1221	C₂²	—	2	1	no	—
1222	C₂²	—	2	1	no	—
1223	C₂²	—	2	1	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	4	1	no	—
1228	C₂²	—	4	1	no	—
1229	C₂²	—	4	1	no	—
1230	C₂²	—	4	1	no	—
1231	C₂²	—	4	1	no	—
1232	C₂²	—	4	1	no	—
1233	C₂²	—	8	2	no	—
1234	C₂²	—	16	2	no	—
1235	C₂²	C₁₃×#577	1	2	yes	—
1236	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1237	C₄	—	2	1	no	—
1238	C₄	—	2	1	no	—
1239	C₄	—	2	1	no	—
1240	C₄	—	2	1	no	—
1241	C₄	—	2	1	no	—
1242	C₄	—	2	1	no	—
1243	C₄	—	2	1	no	—
1244	C₄	—	2	1	no	—
1245	C₄	—	2	1	no	—
1246	C₄	—	2	1	no	—
1247	C₄	—	2	1	no	—
1248	C₄	—	4	2	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	1	no	—
1252	C₄	—	4	2	no	—
1253	C₄	—	4	1	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	2	no	—
1256	C₄	—	4	2	no	—
1257	C₄	C₁₃×#585	1	2	yes	—
1258	C₂	—	2	2	no	—
1259	C₂	—	4	1	no	—
1260	C₂	—	4	1	no	—
1261	C₂	—	8	1	no	—
1262	C₂	—	8	1	no	—
1263	C₂	—	8	1	no	—
1264	C₂	C₁₃×#3449	1	1	yes	characteristic
1265	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1266	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3494	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₃×#541	C₂	semidirect
3. C₁₃×#3260	C₂	semidirect
4. C₁₃×#3258	C₂	semidirect
5. C₁₃×#3242	C₂	semidirect
6. C₁₃×#3234	C₂	semidirect
7. C₁₃×#3232	C₂	semidirect
8. C₁₃×#3222	C₂	semidirect
9. C₁₃×#3218	C₂	semidirect
10. C₁₃×#3206	C₂	semidirect
11. C₁₃×#3196	C₂	semidirect
12. C₁₃×#3193	C₂	semidirect
13. C₁₃×#3190	C₂	semidirect
14. C₁₃×#3187	C₂	semidirect
15. C₁₃×#3178	C₂	semidirect
16. C₁₃×#3174	C₂	semidirect
17. C₁₃×#3123	C₂	semidirect
18. C₁₃×#3120	C₂	semidirect
19. C₁₃×#3117	C₂	semidirect
20. C₁₃×#3112	C₂	semidirect
21. C₁₃×#3108	C₂	semidirect
22. C₁₃×#3103	C₂	semidirect
23. C₁₃×#2924	C₂	semidirect
41. C₁₃×#541	C₂²	semidirect
42. C₁₃×#541	C₂²	semidirect
48. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
55. C₂×C₁₃×#125	C₂²	semidirect
62. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
63. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#499	C₂²	semidirect
67. C₁₃×#497	C₂²	semidirect
68. C₁₃×#492	C₂²	semidirect
69. C₁₃×#491	C₂²	semidirect
70. C₁₃×#490	C₂²	semidirect
71. C₁₃×#488	C₂²	semidirect
72. C₁₃×#487	C₂²	semidirect
76. C₁₃×#484	C₂²	semidirect
78. C₁₃×#483	C₂²	semidirect
81. C₁₃×#481	C₂²	semidirect
84. C₁₃×#480	C₂²	semidirect
85. C₁₃×#479	C₂²	semidirect
86. C₁₃×#479	C₂²	semidirect
87. C₁₃×#479	C₂²	semidirect
88. C₁₃×#478	C₂²	semidirect
89. C₁₃×#478	C₂²	semidirect
90. C₁₃×#478	C₂²	semidirect
91. C₁₃×#477	C₂²	semidirect
92. C₁₃×#475	C₂²	semidirect
93. C₁₃×#470	C₂²	semidirect
96. C₁₃×#468	C₂²	semidirect
97. C₁₃×#467	C₂²	semidirect
100. C₁₃×#465	C₂²	semidirect
101. C₁₃×#464	C₂²	semidirect
102. C₁₃×#464	C₂²	semidirect
103. C₁₃×#462	C₂²	semidirect
104. C₁₃×#461	C₂²	semidirect
105. C₁₃×#461	C₂²	semidirect
106. C₁₃×#461	C₂²	semidirect
107. C₁₃×#460	C₂²	semidirect
108. C₁₃×#460	C₂²	semidirect
111. C₁₃×#451	C₂²	semidirect
112. C₁₃×#451	C₂²	semidirect
119. C₁₃×#448	C₂²	semidirect
120. C₁₃×#448	C₂²	semidirect
121. C₁₃×#441	C₂²	semidirect
122. C₁₃×#440	C₂²	semidirect
123. C₁₃×#440	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
125. C₄×C₁₃×Q₁₆	C₂²	semidirect
126. C₄×C₁₃×SD₁₆	C₂²	semidirect
127. C₄×C₁₃×SD₁₆	C₂²	semidirect
128. C₄×C₁₃×SD₁₆	C₂²	semidirect
131. C₁₃×#432	C₂²	semidirect
132. C₁₃×#432	C₂²	semidirect
133. C₁₃×#431	C₂²	semidirect
134. C₁₃×#431	C₂²	semidirect
135. C₁₃×#424	C₂²	semidirect
138. C₁₃×#405	C₂²	semidirect
342. #60982	C₁₃	direct (N × H)
501. C₂×#541	C₂×C₁₃	semidirect
502. #3260	C₂×C₁₃	semidirect
503. #3258	C₂×C₁₃	semidirect
504. #3242	C₂×C₁₃	semidirect
505. #3234	C₂×C₁₃	semidirect
506. #3232	C₂×C₁₃	semidirect
507. #3222	C₂×C₁₃	semidirect
508. #3218	C₂×C₁₃	semidirect
509. #3206	C₂×C₁₃	semidirect
510. #3196	C₂×C₁₃	semidirect
511. #3193	C₂×C₁₃	semidirect
512. #3190	C₂×C₁₃	semidirect
513. #3187	C₂×C₁₃	semidirect
514. #3178	C₂×C₁₃	semidirect
515. #3174	C₂×C₁₃	semidirect
516. #3123	C₂×C₁₃	semidirect
517. #3120	C₂×C₁₃	semidirect
518. #3117	C₂×C₁₃	semidirect
519. #3112	C₂×C₁₃	semidirect
520. #3108	C₂×C₁₃	semidirect
521. #3103	C₂×C₁₃	semidirect
522. #2924	C₂×C₁₃	semidirect
623. #541	C₂²×C₁₃	semidirect
624. #541	C₂²×C₁₃	semidirect
630. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
637. C₂×#125	C₂²×C₁₃	semidirect
644. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
645. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
647. #501	C₂²×C₁₃	semidirect
648. #499	C₂²×C₁₃	semidirect
649. #497	C₂²×C₁₃	semidirect
650. #492	C₂²×C₁₃	semidirect
651. #491	C₂²×C₁₃	semidirect
652. #490	C₂²×C₁₃	semidirect
653. #488	C₂²×C₁₃	semidirect
654. #487	C₂²×C₁₃	semidirect
658. #484	C₂²×C₁₃	semidirect
660. #483	C₂²×C₁₃	semidirect
663. #481	C₂²×C₁₃	semidirect
666. #480	C₂²×C₁₃	semidirect
667. #479	C₂²×C₁₃	semidirect
668. #479	C₂²×C₁₃	semidirect
669. #479	C₂²×C₁₃	semidirect
670. #478	C₂²×C₁₃	semidirect
671. #478	C₂²×C₁₃	semidirect
672. #478	C₂²×C₁₃	semidirect
673. #477	C₂²×C₁₃	semidirect
674. #475	C₂²×C₁₃	semidirect
675. #470	C₂²×C₁₃	semidirect
678. #468	C₂²×C₁₃	semidirect
679. #467	C₂²×C₁₃	semidirect
682. #465	C₂²×C₁₃	semidirect
683. #464	C₂²×C₁₃	semidirect
684. #464	C₂²×C₁₃	semidirect
685. #462	C₂²×C₁₃	semidirect
686. #461	C₂²×C₁₃	semidirect
687. #461	C₂²×C₁₃	semidirect
688. #461	C₂²×C₁₃	semidirect
689. #460	C₂²×C₁₃	semidirect
690. #460	C₂²×C₁₃	semidirect
693. #451	C₂²×C₁₃	semidirect
694. #451	C₂²×C₁₃	semidirect
701. #448	C₂²×C₁₃	semidirect
702. #448	C₂²×C₁₃	semidirect
703. #441	C₂²×C₁₃	semidirect
704. #440	C₂²×C₁₃	semidirect
705. #440	C₂²×C₁₃	semidirect
706. #440	C₂²×C₁₃	semidirect
707. C₄×Q₁₆	C₂²×C₁₃	semidirect
708. C₄×SD₁₆	C₂²×C₁₃	semidirect
709. C₄×SD₁₆	C₂²×C₁₃	semidirect
710. C₄×SD₁₆	C₂²×C₁₃	semidirect
713. #432	C₂²×C₁₃	semidirect
714. #432	C₂²×C₁₃	semidirect
715. #431	C₂²×C₁₃	semidirect
716. #431	C₂²×C₁₃	semidirect
717. #424	C₂²×C₁₃	semidirect
720. #405	C₂²×C₁₃	semidirect
1132. C₁₃	#60982	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×#3494	2
C₂×C₁₃×#541	2
C₁₃×#3260	2
C₁₃×#3258	2
C₁₃×#3242	2
C₁₃×#3234	2
C₁₃×#3232	2
C₁₃×#3222	2
C₁₃×#3218	2
C₁₃×#3206	2
C₁₃×#3196	2
C₁₃×#3193	2
C₁₃×#3190	2
C₁₃×#3187	2
C₁₃×#3178	2
C₁₃×#3174	2
C₁₃×#3123	2
C₁₃×#3120	2
C₁₃×#3117	2
C₁₃×#3112	2
C₁₃×#3108	2
C₁₃×#3103	2
C₁₃×#2924	2
#60982	13

Subgroups — C13×#60982 #15747321

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60982 #15747321