Subgroups — C₁₃×#60981 #15747320

Order 3328.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1250 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3262	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3258	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3243	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3239	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3230	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3225	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3211	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×#3189	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3188	C₂	1	1	yes	maximal, characteristic
15	C₁₃×#3178	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3175	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3121	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3117	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3110	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#556	—	2	1	no	—
25	C₁₃×#554	—	2	1	no	—
26	C₁₃×#552	—	2	1	no	—
27	C₁₃×#552	—	2	1	no	—
28	C₁₃×#552	—	2	1	no	—
29	C₁₃×#552	—	2	1	no	—
30	C₁₃×#551	—	2	1	no	—
31	C₁₃×#551	—	2	1	no	—
32	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#542	—	2	1	no	—
34	C₁₃×#542	—	2	1	no	—
35	C₁₃×#542	—	2	1	no	—
36	C₁₃×#542	—	2	1	no	—
37	C₁₃×#542	C₂²	1	2	yes	—
38	C₁₃×#542	C₂²	1	2	yes	—
39	C₁₃×#542	C₂²	1	2	yes	—
40	C₁₃×#542	C₂²	1	2	yes	—
41	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#533	C₂²	1	1	yes	characteristic
47	C₁₃×#533	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
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×#124	—	2	1	no	—
53	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
54	C₁₃×#525	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×#123	—	2	1	no	—
56	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
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, complemented
61	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
64	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#500	C₂²	1	2	yes	complemented
67	C₁₃×#497	C₂²	1	2	yes	complemented
68	C₁₃×#495	C₂²	1	2	yes	complemented
69	C₁₃×#489	C₂²	1	2	yes	complemented
70	C₁₃×#489	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	complemented
74	C₁₃×#484	C₂²	1	1	yes	characteristic
75	C₁₃×#484	C₂²	1	1	yes	characteristic
76	C₁₃×#484	C₂²	1	1	yes	characteristic
77	C₁₃×#484	C₂²	1	1	yes	characteristic
78	C₁₃×#484	C₂²	1	1	yes	characteristic
79	C₁₃×#484	C₂²	1	1	yes	characteristic
80	C₁₃×#484	C₂²	1	2	yes	complemented
81	C₁₃×#482	C₂²	1	2	yes	—
82	C₁₃×#481	C₂²	1	1	yes	characteristic
83	C₁₃×#481	C₂²	1	1	yes	characteristic
84	C₁₃×#480	C₂²	1	2	yes	—
85	C₁₃×#479	C₂²	1	2	yes	complemented
86	C₁₃×#478	C₂²	1	2	yes	complemented
87	C₁₃×#477	C₂²	1	2	yes	complemented
88	C₁₃×#477	C₂²	1	2	yes	complemented
89	C₁₃×#477	C₂²	1	2	yes	complemented
90	C₁₃×#475	C₂²	1	2	yes	complemented
91	C₁₃×#474	C₂²	1	2	yes	complemented
92	C₁₃×#474	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×#467	C₂²	1	2	yes	complemented
99	C₁₃×#466	C₂²	1	2	yes	—
100	C₁₃×#465	C₂²	1	2	yes	—
101	C₁₃×#464	C₂²	1	2	yes	complemented
102	C₁₃×#464	C₂²	1	2	yes	complemented
103	C₁₃×#464	C₂²	1	2	yes	complemented
104	C₁₃×#464	C₂²	1	2	yes	complemented
105	C₁₃×#463	C₂²	1	2	yes	complemented
106	C₁₃×#463	C₂²	1	2	yes	complemented
107	C₁₃×#462	C₂²	1	2	yes	complemented
108	C₁₃×#461	C₂²	1	2	yes	complemented
109	C₁₃×#452	C₂²	1	2	yes	complemented
110	C₁₃×#451	C₂²	1	1	yes	characteristic
111	C₁₃×#451	C₂²	1	1	yes	characteristic
112	C₁₃×#451	C₂²	1	1	yes	characteristic
113	C₁₃×#451	C₂²	1	2	yes	complemented
114	C₁₃×#450	C₂²	1	1	yes	characteristic
115	C₁₃×#450	C₂²	1	1	yes	characteristic
116	C₁₃×#450	C₂²	1	1	yes	characteristic
117	C₁₃×#449	C₂²	1	2	yes	—
118	C₁₃×#448	C₂²	1	1	yes	characteristic
119	C₁₃×#448	C₂²	1	2	yes	—
120	C₁₃×#447	C₂²	1	1	yes	characteristic
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×Q₁₆	C₂²	1	2	yes	complemented
127	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
128	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
129	C₁₃×#433	C₂²	1	2	yes	complemented
130	C₁₃×#433	C₂²	1	2	yes	complemented
131	C₁₃×#432	C₂²	1	1	yes	characteristic
132	C₁₃×#432	C₂²	1	1	yes	characteristic
133	C₁₃×#431	C₂²	1	1	yes	characteristic
134	C₁₃×#431	C₂²	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
140	C₂²×Q₈×C₁₃	—	2	1	no	—
141	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₁₃	—	2	1	no	—
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×Q₁₆	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×D₈	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	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×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×#126	—	2	2	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	1	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#126	—	2	1	no	—
175	C₁₃×#126	—	2	1	no	—
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#126	—	2	1	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	—	2	1	no	—
182	C₁₃×#125	—	2	1	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	—	2	1	no	—
185	C₁₃×#125	C₂³	1	1	yes	characteristic
186	C₁₃×#125	C₂³	1	1	yes	characteristic
187	C₁₃×#124	—	2	2	no	—
188	C₁₃×#124	—	2	2	no	—
189	C₁₃×#124	—	2	2	no	—
190	C₁₃×#124	—	2	2	no	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	—	2	1	no	—
194	C₁₃×#124	—	2	1	no	—
195	C₁₃×#124	C₂³	1	1	yes	characteristic
196	C₁₃×#124	C₂³	1	2	yes	—
197	C₁₃×#124	C₂³	1	2	yes	—
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	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	—	2	2	no	—
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×#123	—	2	1	no	—
208	C₁₃×#123	—	2	1	no	—
209	C₁₃×#123	—	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	—	2	2	no	—
217	C₁₃×C₂²⋊Q₈	—	2	2	no	—
218	C₁₃×C₂²⋊Q₈	—	2	2	no	—
219	C₁₃×C₂²⋊Q₈	—	2	2	no	—
220	C₁₃×C₂²⋊Q₈	—	2	1	no	—
221	C₁₃×C₂²⋊Q₈	—	2	1	no	—
222	C₁₃×C₂²⋊Q₈	—	2	1	no	—
223	C₁₃×C₂²⋊Q₈	—	2	1	no	—
224	C₁₃×C₂²⋊Q₈	—	2	1	no	—
225	C₁₃×C₂²⋊Q₈	—	2	1	no	—
226	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
230	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	1	no	—
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	2	yes	—
238	C₁₃×#121	C₂³	1	2	yes	—
239	C₁₃×#121	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
246	C₄×Q₈×C₁₃	—	2	1	no	—
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
251	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
264	C₄×D₄×C₁₃	C₂³	1	2	yes	—
265	C₄×D₄×C₁₃	C₂³	1	2	yes	—
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	—	2	1	no	—
271	C₁₃×#117	—	2	1	no	—
272	C₁₃×#117	—	2	1	no	—
273	C₁₃×#117	—	2	1	no	—
274	C₁₃×#117	D₄	1	1	yes	characteristic
275	C₁₃×#117	D₄	1	1	yes	characteristic
276	C₁₃×#117	D₄	1	1	yes	characteristic
277	C₁₃×#117	D₄	1	1	yes	characteristic
278	C₁₃×#117	C₂³	1	1	yes	characteristic
279	C₁₃×#117	C₂³	1	1	yes	characteristic
280	C₁₃×#117	C₂³	1	1	yes	characteristic
281	C₁₃×#117	C₂³	1	1	yes	characteristic
282	C₁₃×#117	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
299	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
300	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
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×#107	C₂³	1	2	yes	—
309	C₁₃×#107	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	#60981	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	C₂×Q₈×C₁₃	—	2	1	no	—
347	C₂×Q₈×C₁₃	—	2	1	no	—
348	C₂×Q₈×C₁₃	—	2	1	no	—
349	C₂×Q₈×C₁₃	—	2	1	no	—
350	C₂×Q₈×C₁₃	—	2	2	no	—
351	C₂×Q₈×C₁₃	—	2	2	no	—
352	C₂×Q₈×C₁₃	—	4	2	no	—
353	C₂×Q₈×C₁₃	—	4	2	no	—
354	C₂×Q₈×C₁₃	—	8	2	no	—
355	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
356	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	2	no	—
363	C₂×D₄×C₁₃	—	2	2	no	—
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	4	2	no	—
366	C₂×D₄×C₁₃	—	8	2	no	—
367	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₁₃	—	2	1	no	—
370	C₂²×C₄×C₁₃	—	2	1	no	—
371	C₂²×C₄×C₁₃	—	2	1	no	—
372	C₂²×C₄×C₁₃	—	2	1	no	—
373	C₂²×C₄×C₁₃	—	2	1	no	—
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	2	no	—
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	4	2	no	—
380	C₂²×C₄×C₁₃	—	8	2	no	—
381	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₁₃×Q₁₆	—	4	2	no	—
392	C₁₃×Q₁₆	—	4	2	no	—
393	C₁₃×Q₁₆	—	4	2	no	—
394	C₁₃×SD₁₆	—	4	2	no	—
395	C₁₃×SD₁₆	—	4	2	no	—
396	C₁₃×SD₁₆	—	4	2	no	—
397	C₁₃×SD₁₆	—	4	2	no	—
398	C₁₃×D₈	—	4	2	no	—
399	C₁₃×M₁₆	—	4	2	no	—
400	C₂×C₈×C₁₃	—	4	2	no	—
401	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
402	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
403	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
404	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	1	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	1	no	—
409	C₁₃×C₄⋊C₄	—	2	1	no	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	2	2	no	—
412	C₁₃×C₄⋊C₄	—	2	2	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	1	no	—
415	C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₁₃×C₄⋊C₄	—	2	2	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	1	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	1	no	—
427	C₁₃×C₄⋊C₄	—	2	1	no	—
428	C₁₃×C₄⋊C₄	—	2	1	no	—
429	C₁₃×C₄⋊C₄	—	2	1	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	C₂×D₄	1	1	yes	characteristic
437	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
438	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
439	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
445	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
446	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
448	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
449	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
450	C₁₃×C₂²⋊C₄	—	2	1	no	—
451	C₁₃×C₂²⋊C₄	—	2	1	no	—
452	C₁₃×C₂²⋊C₄	—	2	2	no	—
453	C₁₃×C₂²⋊C₄	—	2	2	no	—
454	C₁₃×C₂²⋊C₄	—	2	1	no	—
455	C₁₃×C₂²⋊C₄	—	2	1	no	—
456	C₁₃×C₂²⋊C₄	—	2	1	no	—
457	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
462	C₁₃×C₂²⋊C₄	—	2	2	no	—
463	C₁₃×C₂²⋊C₄	—	2	2	no	—
464	C₁₃×C₂²⋊C₄	—	2	2	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	1	yes	characteristic
476	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	2	no	—
484	C₄²×C₁₃	—	2	2	no	—
485	C₄²×C₁₃	—	2	1	no	—
486	C₄²×C₁₃	—	2	1	no	—
487	C₄²×C₁₃	—	2	1	no	—
488	C₄²×C₁₃	—	2	1	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	#3495	C₂×C₁₃	1	1	yes	characteristic, complemented
501	C₂×#542	C₂×C₁₃	1	1	yes	characteristic, complemented
502	#3262	C₂×C₁₃	1	2	yes	complemented
503	#3258	C₂×C₁₃	1	2	yes	complemented
504	#3243	C₂×C₁₃	1	2	yes	complemented
505	#3239	C₂×C₁₃	1	1	yes	characteristic, complemented
506	#3230	C₂×C₁₃	1	1	yes	characteristic, complemented
507	#3225	C₂×C₁₃	1	2	yes	complemented
508	#3215	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3211	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	#3189	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3188	C₂×C₁₃	1	1	yes	characteristic
514	#3178	C₂×C₁₃	1	2	yes	complemented
515	#3175	C₂×C₁₃	1	2	yes	complemented
516	#3124	C₂×C₁₃	1	2	yes	complemented
517	#3121	C₂×C₁₃	1	2	yes	complemented
518	#3117	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3110	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
521	#3104	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	2	no	—
526	C₂³×C₁₃	—	4	1	no	—
527	C₂³×C₁₃	—	4	1	no	—
528	C₂³×C₁₃	—	4	2	no	—
529	C₂³×C₁₃	—	4	2	no	—
530	C₂³×C₁₃	—	4	2	no	—
531	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
532	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
533	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	Q₈×C₁₃	—	2	2	no	—
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	—	4	2	no	—
540	Q₈×C₁₃	—	4	2	no	—
541	Q₈×C₁₃	—	8	1	no	—
542	Q₈×C₁₃	—	8	1	no	—
543	Q₈×C₁₃	—	8	2	no	—
544	Q₈×C₁₃	—	8	2	no	—
545	D₄×C₁₃	—	2	2	no	—
546	D₄×C₁₃	—	2	2	no	—
547	D₄×C₁₃	—	2	2	no	—
548	D₄×C₁₃	—	4	2	no	—
549	D₄×C₁₃	—	4	2	no	—
550	D₄×C₁₃	—	4	2	no	—
551	D₄×C₁₃	—	8	1	no	—
552	D₄×C₁₃	—	8	2	no	—
553	D₄×C₁₃	—	8	2	no	—
554	C₂×C₄×C₁₃	—	2	2	no	—
555	C₂×C₄×C₁₃	—	2	2	no	—
556	C₂×C₄×C₁₃	—	2	2	no	—
557	C₂×C₄×C₁₃	—	2	2	no	—
558	C₂×C₄×C₁₃	—	2	2	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	2	no	—
562	C₂×C₄×C₁₃	—	2	1	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	2	no	—
566	C₂×C₄×C₁₃	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	2	no	—
569	C₂×C₄×C₁₃	—	4	1	no	—
570	C₂×C₄×C₁₃	—	4	1	no	—
571	C₂×C₄×C₁₃	—	4	1	no	—
572	C₂×C₄×C₁₃	—	4	1	no	—
573	C₂×C₄×C₁₃	—	4	1	no	—
574	C₂×C₄×C₁₃	—	4	2	no	—
575	C₂×C₄×C₁₃	—	4	2	no	—
576	C₂×C₄×C₁₃	—	4	2	no	—
577	C₂×C₄×C₁₃	—	4	2	no	—
578	C₂×C₄×C₁₃	—	4	2	no	—
579	C₂×C₄×C₁₃	—	8	1	no	—
580	C₂×C₄×C₁₃	—	8	1	no	—
581	C₂×C₄×C₁₃	—	8	2	no	—
582	C₂×C₄×C₁₃	—	8	2	no	—
583	C₂×C₄×C₁₃	—	8	1	no	—
584	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
585	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
586	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
587	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
588	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
589	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
596	C₈×C₁₃	—	2	2	no	—
597	C₈×C₁₃	—	2	2	no	—
598	C₈×C₁₃	—	2	2	no	—
599	C₈×C₁₃	—	2	2	no	—
600	#556	—	2	1	no	—
601	#554	—	2	1	no	—
602	#552	—	2	1	no	—
603	#552	—	2	1	no	—
604	#552	—	2	1	no	—
605	#552	—	2	1	no	—
606	#551	—	2	1	no	—
607	#551	—	2	1	no	—
608	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	#542	—	2	1	no	—
610	#542	—	2	1	no	—
611	#542	—	2	1	no	—
612	#542	—	2	1	no	—
613	#542	C₂²×C₁₃	1	2	yes	—
614	#542	C₂²×C₁₃	1	2	yes	—
615	#542	C₂²×C₁₃	1	2	yes	—
616	#542	C₂²×C₁₃	1	2	yes	—
617	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
618	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
620	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
622	#533	C₂²×C₁₃	1	1	yes	characteristic
623	#533	C₂²×C₁₃	1	1	yes	characteristic
624	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
625	#529	C₂²×C₁₃	1	1	yes	characteristic
626	#529	C₂²×C₁₃	1	1	yes	characteristic
627	C₂×#126	—	2	1	no	—
628	C₂×#124	—	2	1	no	—
629	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
630	#525	C₂²×C₁₃	1	1	yes	characteristic
631	C₂×#123	—	2	1	no	—
632	C₂×C₂²⋊Q₈	—	2	1	no	—
633	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
634	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
635	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
636	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
639	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
640	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
641	#501	C₂²×C₁₃	1	2	yes	complemented
642	#500	C₂²×C₁₃	1	2	yes	complemented
643	#497	C₂²×C₁₃	1	2	yes	complemented
644	#495	C₂²×C₁₃	1	2	yes	complemented
645	#489	C₂²×C₁₃	1	2	yes	complemented
646	#489	C₂²×C₁₃	1	2	yes	complemented
647	#488	C₂²×C₁₃	1	2	yes	complemented
648	#487	C₂²×C₁₃	1	2	yes	complemented
649	#485	C₂²×C₁₃	1	2	yes	complemented
650	#484	C₂²×C₁₃	1	1	yes	characteristic
651	#484	C₂²×C₁₃	1	1	yes	characteristic
652	#484	C₂²×C₁₃	1	1	yes	characteristic
653	#484	C₂²×C₁₃	1	1	yes	characteristic
654	#484	C₂²×C₁₃	1	1	yes	characteristic
655	#484	C₂²×C₁₃	1	1	yes	characteristic
656	#484	C₂²×C₁₃	1	2	yes	complemented
657	#482	C₂²×C₁₃	1	2	yes	—
658	#481	C₂²×C₁₃	1	1	yes	characteristic
659	#481	C₂²×C₁₃	1	1	yes	characteristic
660	#480	C₂²×C₁₃	1	2	yes	—
661	#479	C₂²×C₁₃	1	2	yes	complemented
662	#478	C₂²×C₁₃	1	2	yes	complemented
663	#477	C₂²×C₁₃	1	2	yes	complemented
664	#477	C₂²×C₁₃	1	2	yes	complemented
665	#477	C₂²×C₁₃	1	2	yes	complemented
666	#475	C₂²×C₁₃	1	2	yes	complemented
667	#474	C₂²×C₁₃	1	2	yes	complemented
668	#474	C₂²×C₁₃	1	2	yes	complemented
669	#470	C₂²×C₁₃	1	2	yes	complemented
670	#468	C₂²×C₁₃	1	2	yes	—
671	#468	C₂²×C₁₃	1	2	yes	—
672	#468	C₂²×C₁₃	1	2	yes	complemented
673	#467	C₂²×C₁₃	1	2	yes	complemented
674	#467	C₂²×C₁₃	1	2	yes	complemented
675	#466	C₂²×C₁₃	1	2	yes	—
676	#465	C₂²×C₁₃	1	2	yes	—
677	#464	C₂²×C₁₃	1	2	yes	complemented
678	#464	C₂²×C₁₃	1	2	yes	complemented
679	#464	C₂²×C₁₃	1	2	yes	complemented
680	#464	C₂²×C₁₃	1	2	yes	complemented
681	#463	C₂²×C₁₃	1	2	yes	complemented
682	#463	C₂²×C₁₃	1	2	yes	complemented
683	#462	C₂²×C₁₃	1	2	yes	complemented
684	#461	C₂²×C₁₃	1	2	yes	complemented
685	#452	C₂²×C₁₃	1	2	yes	complemented
686	#451	C₂²×C₁₃	1	1	yes	characteristic
687	#451	C₂²×C₁₃	1	1	yes	characteristic
688	#451	C₂²×C₁₃	1	1	yes	characteristic
689	#451	C₂²×C₁₃	1	2	yes	complemented
690	#450	C₂²×C₁₃	1	1	yes	characteristic
691	#450	C₂²×C₁₃	1	1	yes	characteristic
692	#450	C₂²×C₁₃	1	1	yes	characteristic
693	#449	C₂²×C₁₃	1	2	yes	—
694	#448	C₂²×C₁₃	1	1	yes	characteristic
695	#448	C₂²×C₁₃	1	2	yes	—
696	#447	C₂²×C₁₃	1	1	yes	characteristic
697	#441	C₂²×C₁₃	1	2	yes	complemented
698	#440	C₂²×C₁₃	1	2	yes	complemented
699	#440	C₂²×C₁₃	1	2	yes	complemented
700	#440	C₂²×C₁₃	1	2	yes	complemented
701	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
702	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
703	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
704	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
705	#433	C₂²×C₁₃	1	2	yes	complemented
706	#433	C₂²×C₁₃	1	2	yes	complemented
707	#432	C₂²×C₁₃	1	1	yes	characteristic
708	#432	C₂²×C₁₃	1	1	yes	characteristic
709	#431	C₂²×C₁₃	1	1	yes	characteristic
710	#431	C₂²×C₁₃	1	1	yes	characteristic
711	#424	C₂²×C₁₃	1	2	yes	complemented
712	#407	C₂²×C₁₃	1	1	yes	characteristic
713	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
714	#405	C₂²×C₁₃	1	2	yes	complemented
715	C₂²×C₁₃	—	2	1	no	—
716	C₂²×C₁₃	—	2	1	no	—
717	C₂²×C₁₃	—	2	1	no	—
718	C₂²×C₁₃	—	2	1	no	—
719	C₂²×C₁₃	—	2	1	no	—
720	C₂²×C₁₃	—	2	1	no	—
721	C₂²×C₁₃	—	2	1	no	—
722	C₂²×C₁₃	—	2	1	no	—
723	C₂²×C₁₃	—	4	2	no	—
724	C₂²×C₁₃	—	4	1	no	—
725	C₂²×C₁₃	—	4	1	no	—
726	C₂²×C₁₃	—	4	2	no	—
727	C₂²×C₁₃	—	4	1	no	—
728	C₂²×C₁₃	—	4	2	no	—
729	C₂²×C₁₃	—	8	2	no	—
730	C₂²×C₁₃	—	8	4	no	—
731	C₂²×C₁₃	#578	1	2	yes	—
732	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
733	C₄×C₁₃	—	2	1	no	—
734	C₄×C₁₃	—	2	1	no	—
735	C₄×C₁₃	—	2	1	no	—
736	C₄×C₁₃	—	2	1	no	—
737	C₄×C₁₃	—	2	1	no	—
738	C₄×C₁₃	—	2	1	no	—
739	C₄×C₁₃	—	2	1	no	—
740	C₄×C₁₃	—	2	1	no	—
741	C₄×C₁₃	—	2	1	no	—
742	C₄×C₁₃	—	2	1	no	—
743	C₄×C₁₃	—	2	1	no	—
744	C₄×C₁₃	—	4	2	no	—
745	C₄×C₁₃	—	4	2	no	—
746	C₄×C₁₃	—	4	1	no	—
747	C₄×C₁₃	—	4	1	no	—
748	C₄×C₁₃	—	4	1	no	—
749	C₄×C₁₃	—	4	1	no	—
750	C₄×C₁₃	—	4	2	no	—
751	C₄×C₁₃	—	4	1	no	—
752	C₄×C₁₃	—	4	1	no	—
753	C₄×C₁₃	—	4	1	no	—
754	C₄×C₁₃	#585	1	2	yes	—
755	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
756	C₂²×Q₈	—	2	1	no	—
757	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
758	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
759	C₂²×D₄	—	2	1	no	—
760	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
761	C₂³×C₄	—	2	1	no	—
762	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
763	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
764	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
765	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
766	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
767	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
768	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
769	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
770	C₂×D₈	C₂³×C₁₃	1	2	yes	—
771	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
772	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
773	C₄⋊Q₈	—	2	1	no	—
774	C₄⋊Q₈	—	2	1	no	—
775	C₄⋊Q₈	—	2	1	no	—
776	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
777	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
778	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
779	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
780	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
781	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
782	#126	—	2	2	no	—
783	#126	—	2	2	no	—
784	#126	—	2	2	no	—
785	#126	—	2	2	no	—
786	#126	—	2	1	no	—
787	#126	—	2	1	no	—
788	#126	—	2	1	no	—
789	#126	—	2	1	no	—
790	#126	—	2	1	no	—
791	#126	—	2	1	no	—
792	#126	—	2	1	no	—
793	#126	—	2	1	no	—
794	#125	—	2	1	no	—
795	#125	—	2	1	no	—
796	#125	—	2	1	no	—
797	#125	—	2	1	no	—
798	#125	—	2	1	no	—
799	#125	—	2	1	no	—
800	#125	—	2	1	no	—
801	#125	C₂³×C₁₃	1	1	yes	characteristic
802	#125	C₂³×C₁₃	1	1	yes	characteristic
803	#124	—	2	2	no	—
804	#124	—	2	2	no	—
805	#124	—	2	2	no	—
806	#124	—	2	2	no	—
807	#124	—	2	1	no	—
808	#124	—	2	1	no	—
809	#124	—	2	1	no	—
810	#124	—	2	1	no	—
811	#124	C₂³×C₁₃	1	2	yes	—
812	#124	C₂³×C₁₃	1	2	yes	—
813	#124	C₂³×C₁₃	1	1	yes	characteristic
814	#124	C₂³×C₁₃	1	1	yes	characteristic
815	#123	—	2	1	no	—
816	#123	—	2	1	no	—
817	#123	—	2	1	no	—
818	#123	—	2	2	no	—
819	#123	—	2	2	no	—
820	#123	—	2	2	no	—
821	#123	—	2	2	no	—
822	#123	—	2	1	no	—
823	#123	—	2	1	no	—
824	#123	—	2	1	no	—
825	#123	—	2	1	no	—
826	C₂²⋊Q₈	—	2	1	no	—
827	C₂²⋊Q₈	—	2	1	no	—
828	C₂²⋊Q₈	—	2	1	no	—
829	C₂²⋊Q₈	—	2	1	no	—
830	C₂²⋊Q₈	—	2	1	no	—
831	C₂²⋊Q₈	—	2	1	no	—
832	C₂²⋊Q₈	—	2	2	no	—
833	C₂²⋊Q₈	—	2	2	no	—
834	C₂²⋊Q₈	—	2	2	no	—
835	C₂²⋊Q₈	—	2	2	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	C₂³×C₁₃	1	1	yes	characteristic
843	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	1	yes	characteristic
849	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
850	#121	—	2	1	no	—
851	#121	—	2	1	no	—
852	#121	C₂³×C₁₃	1	2	yes	—
853	#121	C₂³×C₁₃	1	2	yes	—
854	#121	C₂³×C₁₃	1	1	yes	characteristic
855	#121	C₂³×C₁₃	1	1	yes	characteristic
856	#120	—	2	1	no	—
857	C₄×Q₈	—	2	1	no	—
858	C₄×Q₈	—	2	1	no	—
859	C₄×Q₈	—	2	1	no	—
860	C₄×Q₈	—	2	1	no	—
861	C₄×Q₈	—	2	1	no	—
862	C₄×Q₈	—	2	1	no	—
863	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
864	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
865	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
866	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
867	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
868	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
869	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
870	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
871	C₄×D₄	—	2	1	no	—
872	C₄×D₄	—	2	1	no	—
873	C₄×D₄	—	2	1	no	—
874	C₄×D₄	—	2	1	no	—
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	C₂³×C₁₃	1	2	yes	—
880	C₄×D₄	C₂³×C₁₃	1	2	yes	—
881	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
882	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
883	#117	—	2	1	no	—
884	#117	—	2	1	no	—
885	#117	—	2	1	no	—
886	#117	—	2	1	no	—
887	#117	—	2	1	no	—
888	#117	—	2	1	no	—
889	#117	—	2	1	no	—
890	#117	D₄×C₁₃	1	1	yes	characteristic
891	#117	D₄×C₁₃	1	1	yes	characteristic
892	#117	D₄×C₁₃	1	1	yes	characteristic
893	#117	D₄×C₁₃	1	1	yes	characteristic
894	#117	C₂³×C₁₃	1	1	yes	characteristic
895	#117	C₂³×C₁₃	1	1	yes	characteristic
896	#117	C₂³×C₁₃	1	1	yes	characteristic
897	#117	C₂³×C₁₃	1	1	yes	characteristic
898	#117	C₂³×C₁₃	1	1	yes	characteristic
899	C₂×C₄⋊C₄	—	2	1	no	—
900	C₂×C₄⋊C₄	—	2	1	no	—
901	C₂×C₄⋊C₄	—	2	1	no	—
902	C₂×C₄⋊C₄	—	2	1	no	—
903	C₂×C₄⋊C₄	—	2	1	no	—
904	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
905	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	—	2	1	no	—
910	C₂×C₂²⋊C₄	—	2	1	no	—
911	C₂×C₂²⋊C₄	—	2	1	no	—
912	C₂×C₂²⋊C₄	—	2	1	no	—
913	C₂×C₂²⋊C₄	—	2	1	no	—
914	C₂×C₂²⋊C₄	—	2	1	no	—
915	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
916	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
917	C₂×C₄²	—	2	1	no	—
918	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
919	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
920	#107	C₂³×C₁₃	1	2	yes	—
921	#107	C₂³×C₁₃	1	2	yes	—
922	#107	C₂³×C₁₃	1	2	yes	—
923	#107	C₂³×C₁₃	1	2	yes	—
924	#107	C₂³×C₁₃	1	2	yes	—
925	#107	C₂³×C₁₃	1	2	yes	—
926	#106	C₂³×C₁₃	1	2	yes	—
927	#106	C₂³×C₁₃	1	2	yes	—
928	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
929	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
930	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
931	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
932	#103	C₂³×C₁₃	1	2	yes	—
933	#103	C₂³×C₁₃	1	2	yes	—
934	#103	C₂³×C₁₃	1	2	yes	—
935	#103	C₂³×C₁₃	1	2	yes	—
936	#103	C₂³×C₁₃	1	2	yes	—
937	#103	C₂³×C₁₃	1	2	yes	—
938	#103	C₂³×C₁₃	1	2	yes	—
939	#103	C₂³×C₁₃	1	2	yes	—
940	#103	C₂³×C₁₃	1	2	yes	—
941	#103	C₂³×C₁₃	1	2	yes	—
942	#102	C₂³×C₁₃	1	2	yes	—
943	#102	C₂³×C₁₃	1	2	yes	—
944	#102	C₂³×C₁₃	1	2	yes	—
945	#102	C₂³×C₁₃	1	2	yes	—
946	#102	C₂³×C₁₃	1	2	yes	—
947	#102	C₂³×C₁₃	1	2	yes	—
948	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
949	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
950	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
951	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
952	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
953	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
954	#97	C₂³×C₁₃	1	2	yes	—
955	#97	C₂³×C₁₃	1	2	yes	—
956	C₄×C₈	C₂³×C₁₃	1	2	yes	—
957	C₄×C₈	C₂³×C₁₃	1	2	yes	—
958	C₂×C₁₃	—	2	2	no	—
959	C₂×C₁₃	—	4	1	no	—
960	C₂×C₁₃	—	4	1	no	—
961	C₂×C₁₃	—	8	1	no	—
962	C₂×C₁₃	—	8	2	no	—
963	C₂×C₁₃	#3449	1	1	yes	characteristic
964	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
965	C₂×C₁₃	#3585	1	1	yes	characteristic
966	C₂⁴	—	2	1	no	—
967	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
968	#41	—	4	2	no	—
969	C₂×Q₈	—	2	1	no	—
970	C₂×Q₈	—	2	1	no	—
971	C₂×Q₈	—	2	1	no	—
972	C₂×Q₈	—	2	1	no	—
973	C₂×Q₈	—	2	2	no	—
974	C₂×Q₈	—	2	2	no	—
975	C₂×Q₈	—	4	2	no	—
976	C₂×Q₈	—	4	2	no	—
977	C₂×Q₈	—	8	2	no	—
978	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
979	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
980	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
981	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
982	C₂×D₄	—	2	1	no	—
983	C₂×D₄	—	2	1	no	—
984	C₂×D₄	—	2	1	no	—
985	C₂×D₄	—	2	2	no	—
986	C₂×D₄	—	2	2	no	—
987	C₂×D₄	—	2	1	no	—
988	C₂×D₄	—	4	2	no	—
989	C₂×D₄	—	8	2	no	—
990	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
991	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
992	C₂²×C₄	—	2	1	no	—
993	C₂²×C₄	—	2	1	no	—
994	C₂²×C₄	—	2	1	no	—
995	C₂²×C₄	—	2	1	no	—
996	C₂²×C₄	—	2	1	no	—
997	C₂²×C₄	—	2	1	no	—
998	C₂²×C₄	—	2	1	no	—
999	C₂²×C₄	—	2	1	no	—
1000	C₂²×C₄	—	2	2	no	—
1001	C₂²×C₄	—	2	2	no	—
1002	C₂²×C₄	—	4	2	no	—
1003	C₂²×C₄	—	8	2	no	—
1004	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1005	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1006	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1007	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1008	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1009	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1010	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1011	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1012	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1013	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1014	Q₁₆	—	4	2	no	—
1015	Q₁₆	—	4	2	no	—
1016	Q₁₆	—	4	2	no	—
1017	SD₁₆	—	4	2	no	—
1018	SD₁₆	—	4	2	no	—
1019	SD₁₆	—	4	2	no	—
1020	SD₁₆	—	4	2	no	—
1021	D₈	—	4	2	no	—
1022	M₁₆	—	4	2	no	—
1023	C₂×C₈	—	4	2	no	—
1024	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1025	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1026	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1027	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1028	C₄⋊C₄	—	2	1	no	—
1029	C₄⋊C₄	—	2	1	no	—
1030	C₄⋊C₄	—	2	1	no	—
1031	C₄⋊C₄	—	2	1	no	—
1032	C₄⋊C₄	—	2	1	no	—
1033	C₄⋊C₄	—	2	2	no	—
1034	C₄⋊C₄	—	2	2	no	—
1035	C₄⋊C₄	—	2	2	no	—
1036	C₄⋊C₄	—	2	2	no	—
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	2	no	—
1040	C₄⋊C₄	—	2	2	no	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	2	1	no	—
1043	C₄⋊C₄	—	2	1	no	—
1044	C₄⋊C₄	—	2	1	no	—
1045	C₄⋊C₄	—	2	1	no	—
1046	C₄⋊C₄	—	2	1	no	—
1047	C₄⋊C₄	—	2	1	no	—
1048	C₄⋊C₄	—	2	1	no	—
1049	C₄⋊C₄	—	2	1	no	—
1050	C₄⋊C₄	—	2	1	no	—
1051	C₄⋊C₄	—	2	1	no	—
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	1	no	—
1058	C₄⋊C₄	—	2	1	no	—
1059	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1060	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1061	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1062	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1063	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1064	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1065	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1066	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1067	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1068	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1069	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1070	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1071	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1072	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1073	C₂²⋊C₄	—	2	1	no	—
1074	C₂²⋊C₄	—	2	1	no	—
1075	C₂²⋊C₄	—	2	2	no	—
1076	C₂²⋊C₄	—	2	2	no	—
1077	C₂²⋊C₄	—	2	1	no	—
1078	C₂²⋊C₄	—	2	1	no	—
1079	C₂²⋊C₄	—	2	1	no	—
1080	C₂²⋊C₄	—	2	1	no	—
1081	C₂²⋊C₄	—	2	1	no	—
1082	C₂²⋊C₄	—	2	2	no	—
1083	C₂²⋊C₄	—	2	2	no	—
1084	C₂²⋊C₄	—	2	2	no	—
1085	C₂²⋊C₄	—	2	2	no	—
1086	C₂²⋊C₄	—	2	2	no	—
1087	C₂²⋊C₄	—	2	2	no	—
1088	C₂²⋊C₄	—	2	2	no	—
1089	C₂²⋊C₄	—	2	2	no	—
1090	C₂²⋊C₄	—	2	1	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	C₂×D₄×C₁₃	1	1	yes	characteristic
1099	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1100	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1101	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1102	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1103	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1104	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1105	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1106	C₄²	—	2	2	no	—
1107	C₄²	—	2	2	no	—
1108	C₄²	—	2	1	no	—
1109	C₄²	—	2	1	no	—
1110	C₄²	—	2	1	no	—
1111	C₄²	—	2	1	no	—
1112	C₄²	—	2	1	no	—
1113	C₄²	—	2	1	no	—
1114	C₄²	—	2	1	no	—
1115	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1116	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1117	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1118	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1119	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1120	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1121	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1122	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1123	C₁₃	#60981	1	1	yes	characteristic, direct product factor, Sylow
1124	C₂³	—	2	2	no	—
1125	C₂³	—	2	1	no	—
1126	C₂³	—	2	2	no	—
1127	C₂³	—	4	1	no	—
1128	C₂³	—	4	1	no	—
1129	C₂³	—	4	2	no	—
1130	C₂³	—	4	2	no	—
1131	C₂³	—	4	2	no	—
1132	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1133	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1134	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1135	Q₈	—	2	2	no	—
1136	Q₈	—	2	2	no	—
1137	Q₈	—	2	2	no	—
1138	Q₈	—	2	2	no	—
1139	Q₈	—	2	2	no	—
1140	Q₈	—	4	2	no	—
1141	Q₈	—	4	2	no	—
1142	Q₈	—	8	2	no	—
1143	Q₈	—	8	2	no	—
1144	Q₈	—	8	1	no	—
1145	Q₈	—	8	1	no	—
1146	D₄	—	2	2	no	—
1147	D₄	—	2	2	no	—
1148	D₄	—	2	2	no	—
1149	D₄	—	4	2	no	—
1150	D₄	—	4	2	no	—
1151	D₄	—	4	2	no	—
1152	D₄	—	8	2	no	—
1153	D₄	—	8	2	no	—
1154	D₄	—	8	1	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	2	no	—
1157	C₂×C₄	—	2	2	no	—
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	2	2	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	4	1	no	—
1171	C₂×C₄	—	4	1	no	—
1172	C₂×C₄	—	4	1	no	—
1173	C₂×C₄	—	4	1	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	2	no	—
1176	C₂×C₄	—	4	2	no	—
1177	C₂×C₄	—	4	2	no	—
1178	C₂×C₄	—	4	2	no	—
1179	C₂×C₄	—	4	2	no	—
1180	C₂×C₄	—	8	2	no	—
1181	C₂×C₄	—	8	2	no	—
1182	C₂×C₄	—	8	1	no	—
1183	C₂×C₄	—	8	1	no	—
1184	C₂×C₄	—	8	1	no	—
1185	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1186	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1187	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1188	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1189	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1190	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1191	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1192	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1193	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1194	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1195	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1196	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1197	C₈	—	2	2	no	—
1198	C₈	—	2	2	no	—
1199	C₈	—	2	2	no	—
1200	C₈	—	2	2	no	—
1201	C₂²	—	2	1	no	—
1202	C₂²	—	2	1	no	—
1203	C₂²	—	2	1	no	—
1204	C₂²	—	2	1	no	—
1205	C₂²	—	2	1	no	—
1206	C₂²	—	2	1	no	—
1207	C₂²	—	2	1	no	—
1208	C₂²	—	2	1	no	—
1209	C₂²	—	4	1	no	—
1210	C₂²	—	4	2	no	—
1211	C₂²	—	4	2	no	—
1212	C₂²	—	4	1	no	—
1213	C₂²	—	4	1	no	—
1214	C₂²	—	4	2	no	—
1215	C₂²	—	8	2	no	—
1216	C₂²	—	8	4	no	—
1217	C₂²	C₁₃×#578	1	2	yes	—
1218	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1219	C₄	—	2	1	no	—
1220	C₄	—	2	1	no	—
1221	C₄	—	2	1	no	—
1222	C₄	—	2	1	no	—
1223	C₄	—	2	1	no	—
1224	C₄	—	2	1	no	—
1225	C₄	—	2	1	no	—
1226	C₄	—	2	1	no	—
1227	C₄	—	2	1	no	—
1228	C₄	—	2	1	no	—
1229	C₄	—	2	1	no	—
1230	C₄	—	4	1	no	—
1231	C₄	—	4	2	no	—
1232	C₄	—	4	2	no	—
1233	C₄	—	4	1	no	—
1234	C₄	—	4	1	no	—
1235	C₄	—	4	1	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	2	no	—
1238	C₄	—	4	1	no	—
1239	C₄	—	4	1	no	—
1240	C₄	C₁₃×#585	1	2	yes	—
1241	C₂	—	2	2	no	—
1242	C₂	—	4	1	no	—
1243	C₂	—	4	1	no	—
1244	C₂	—	8	2	no	—
1245	C₂	—	8	1	no	—
1246	C₂	C₁₃×#3449	1	1	yes	characteristic
1247	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1248	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3188	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
1. C₁₃×#3495	C₂	semidirect
2. C₂×C₁₃×#542	C₂	semidirect
3. C₁₃×#3262	C₂	semidirect
4. C₁₃×#3258	C₂	semidirect
5. C₁₃×#3243	C₂	semidirect
6. C₁₃×#3239	C₂	semidirect
7. C₁₃×#3230	C₂	semidirect
8. C₁₃×#3225	C₂	semidirect
9. C₁₃×#3215	C₂	semidirect
10. C₁₃×#3211	C₂	semidirect
11. C₁₃×#3196	C₂	semidirect
12. C₁₃×#3193	C₂	semidirect
13. C₁₃×#3189	C₂	semidirect
15. C₁₃×#3178	C₂	semidirect
16. C₁₃×#3175	C₂	semidirect
17. C₁₃×#3124	C₂	semidirect
18. C₁₃×#3121	C₂	semidirect
19. C₁₃×#3117	C₂	semidirect
20. C₁₃×#3110	C₂	semidirect
21. C₁₃×#3105	C₂	semidirect
22. C₁₃×#3104	C₂	semidirect
23. C₁₃×#2924	C₂	semidirect
32. C₁₃×#544	C₂²	semidirect
41. C₁₃×#542	C₂²	semidirect
42. C₁₃×#542	C₂²	semidirect
43. C₁₃×#541	C₂²	semidirect
44. C₁₃×#541	C₂²	semidirect
45. C₁₃×#536	C₂²	semidirect
60. C₁₃×#520	C₂²	semidirect
61. C₁₃×#519	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#500	C₂²	semidirect
67. C₁₃×#497	C₂²	semidirect
68. C₁₃×#495	C₂²	semidirect
69. C₁₃×#489	C₂²	semidirect
70. C₁₃×#489	C₂²	semidirect
71. C₁₃×#488	C₂²	semidirect
72. C₁₃×#487	C₂²	semidirect
73. C₁₃×#485	C₂²	semidirect
80. C₁₃×#484	C₂²	semidirect
85. C₁₃×#479	C₂²	semidirect
86. C₁₃×#478	C₂²	semidirect
87. C₁₃×#477	C₂²	semidirect
88. C₁₃×#477	C₂²	semidirect
89. C₁₃×#477	C₂²	semidirect
90. C₁₃×#475	C₂²	semidirect
91. C₁₃×#474	C₂²	semidirect
92. C₁₃×#474	C₂²	semidirect
93. C₁₃×#470	C₂²	semidirect
96. C₁₃×#468	C₂²	semidirect
97. C₁₃×#467	C₂²	semidirect
98. C₁₃×#467	C₂²	semidirect
101. C₁₃×#464	C₂²	semidirect
102. C₁₃×#464	C₂²	semidirect
103. C₁₃×#464	C₂²	semidirect
104. C₁₃×#464	C₂²	semidirect
105. C₁₃×#463	C₂²	semidirect
106. C₁₃×#463	C₂²	semidirect
107. C₁₃×#462	C₂²	semidirect
108. C₁₃×#461	C₂²	semidirect
109. C₁₃×#452	C₂²	semidirect
113. C₁₃×#451	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×Q₁₆	C₂²	semidirect
127. C₄×C₁₃×SD₁₆	C₂²	semidirect
128. C₄×C₁₃×D₈	C₂²	semidirect
129. C₁₃×#433	C₂²	semidirect
130. C₁₃×#433	C₂²	semidirect
135. C₁₃×#424	C₂²	semidirect
138. C₁₃×#405	C₂²	semidirect
342. #60981	C₁₃	direct (N × H)
500. #3495	C₂×C₁₃	semidirect
501. C₂×#542	C₂×C₁₃	semidirect
502. #3262	C₂×C₁₃	semidirect
503. #3258	C₂×C₁₃	semidirect
504. #3243	C₂×C₁₃	semidirect
505. #3239	C₂×C₁₃	semidirect
506. #3230	C₂×C₁₃	semidirect
507. #3225	C₂×C₁₃	semidirect
508. #3215	C₂×C₁₃	semidirect
509. #3211	C₂×C₁₃	semidirect
510. #3196	C₂×C₁₃	semidirect
511. #3193	C₂×C₁₃	semidirect
512. #3189	C₂×C₁₃	semidirect
514. #3178	C₂×C₁₃	semidirect
515. #3175	C₂×C₁₃	semidirect
516. #3124	C₂×C₁₃	semidirect
517. #3121	C₂×C₁₃	semidirect
518. #3117	C₂×C₁₃	semidirect
519. #3110	C₂×C₁₃	semidirect
520. #3105	C₂×C₁₃	semidirect
521. #3104	C₂×C₁₃	semidirect
522. #2924	C₂×C₁₃	semidirect
608. #544	C₂²×C₁₃	semidirect
617. #542	C₂²×C₁₃	semidirect
618. #542	C₂²×C₁₃	semidirect
619. #541	C₂²×C₁₃	semidirect
620. #541	C₂²×C₁₃	semidirect
621. #536	C₂²×C₁₃	semidirect
636. #520	C₂²×C₁₃	semidirect
637. #519	C₂²×C₁₃	semidirect
641. #501	C₂²×C₁₃	semidirect
642. #500	C₂²×C₁₃	semidirect
643. #497	C₂²×C₁₃	semidirect
644. #495	C₂²×C₁₃	semidirect
645. #489	C₂²×C₁₃	semidirect
646. #489	C₂²×C₁₃	semidirect
647. #488	C₂²×C₁₃	semidirect
648. #487	C₂²×C₁₃	semidirect
649. #485	C₂²×C₁₃	semidirect
656. #484	C₂²×C₁₃	semidirect
661. #479	C₂²×C₁₃	semidirect
662. #478	C₂²×C₁₃	semidirect
663. #477	C₂²×C₁₃	semidirect
664. #477	C₂²×C₁₃	semidirect
665. #477	C₂²×C₁₃	semidirect
666. #475	C₂²×C₁₃	semidirect
667. #474	C₂²×C₁₃	semidirect
668. #474	C₂²×C₁₃	semidirect
669. #470	C₂²×C₁₃	semidirect
672. #468	C₂²×C₁₃	semidirect
673. #467	C₂²×C₁₃	semidirect
674. #467	C₂²×C₁₃	semidirect
677. #464	C₂²×C₁₃	semidirect
678. #464	C₂²×C₁₃	semidirect
679. #464	C₂²×C₁₃	semidirect
680. #464	C₂²×C₁₃	semidirect
681. #463	C₂²×C₁₃	semidirect
682. #463	C₂²×C₁₃	semidirect
683. #462	C₂²×C₁₃	semidirect
684. #461	C₂²×C₁₃	semidirect
685. #452	C₂²×C₁₃	semidirect
689. #451	C₂²×C₁₃	semidirect
697. #441	C₂²×C₁₃	semidirect
698. #440	C₂²×C₁₃	semidirect
699. #440	C₂²×C₁₃	semidirect
700. #440	C₂²×C₁₃	semidirect
701. C₄×Q₁₆	C₂²×C₁₃	semidirect
702. C₄×Q₁₆	C₂²×C₁₃	semidirect
703. C₄×SD₁₆	C₂²×C₁₃	semidirect
704. C₄×D₈	C₂²×C₁₃	semidirect
705. #433	C₂²×C₁₃	semidirect
706. #433	C₂²×C₁₃	semidirect
711. #424	C₂²×C₁₃	semidirect
714. #405	C₂²×C₁₃	semidirect
1123. C₁₃	#60981	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×#3495	2
C₂×C₁₃×#542	2
C₁₃×#3262	2
C₁₃×#3258	2
C₁₃×#3243	2
C₁₃×#3239	2
C₁₃×#3230	2
C₁₃×#3225	2
C₁₃×#3215	2
C₁₃×#3211	2
C₁₃×#3196	2
C₁₃×#3193	2
C₁₃×#3189	2
C₁₃×#3188	2
C₁₃×#3178	2
C₁₃×#3175	2
C₁₃×#3124	2
C₁₃×#3121	2
C₁₃×#3117	2
C₁₃×#3110	2
C₁₃×#3105	2
C₁₃×#3104	2
C₁₃×#2924	2
#60981	13

Subgroups — C13×#60981 #15747320

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60981 #15747320