Subgroups — C₁₃×#60983 #15747322

Order 3328.

1668 conjugacy classes of subgroups.

The subgroup lattice has 1220 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
2	C₂×C₁₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3261	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×#3236	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3223	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3209	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3196	C₂	1	1	yes	maximal, characteristic
12	C₁₃×#3195	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3190	C₂	1	1	yes	maximal, characteristic
14	C₁₃×#3189	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3178	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3177	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3127	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×#3113	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3108	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
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	1	yes	characteristic
41	C₁₃×#541	C₂²	1	2	yes	—
42	C₁₃×#541	C₂²	1	2	yes	—
43	C₁₃×#541	C₂²	1	2	yes	—
44	C₁₃×#541	C₂²	1	1	yes	characteristic
45	C₁₃×#536	C₂²	1	1	yes	characteristic
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×#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
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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	C₁₃×#520	C₂²	1	1	yes	characteristic
61	C₁₃×#519	C₂²	1	1	yes	characteristic
62	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
63	C₂×C₄×Q₈×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×#499	C₂²	1	2	yes	complemented
67	C₁₃×#497	C₂²	1	2	yes	complemented
68	C₁₃×#494	C₂²	1	2	yes	complemented
69	C₁₃×#491	C₂²	1	2	yes	complemented
70	C₁₃×#491	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	1	yes	characteristic
76	C₁₃×#484	C₂²	1	1	yes	characteristic
77	C₁₃×#484	C₂²	1	1	yes	characteristic
78	C₁₃×#484	C₂²	1	2	yes	—
79	C₁₃×#483	C₂²	1	1	yes	characteristic
80	C₁₃×#483	C₂²	1	1	yes	characteristic
81	C₁₃×#483	C₂²	1	1	yes	characteristic
82	C₁₃×#483	C₂²	1	2	yes	—
83	C₁₃×#481	C₂²	1	1	yes	characteristic
84	C₁₃×#480	C₂²	1	1	yes	characteristic
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×#479	C₂²	1	2	yes	complemented
89	C₁₃×#479	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	—
94	C₁₃×#470	C₂²	1	2	yes	—
95	C₁₃×#470	C₂²	1	2	yes	—
96	C₁₃×#468	C₂²	1	2	yes	—
97	C₁₃×#467	C₂²	1	2	yes	—
98	C₁₃×#467	C₂²	1	2	yes	—
99	C₁₃×#467	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×#462	C₂²	1	2	yes	complemented
104	C₁₃×#462	C₂²	1	2	yes	complemented
105	C₁₃×#462	C₂²	1	2	yes	complemented
106	C₁₃×#462	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	—
110	C₁₃×#452	C₂²	1	2	yes	—
111	C₁₃×#451	C₂²	1	1	yes	characteristic
112	C₁₃×#451	C₂²	1	1	yes	characteristic
113	C₁₃×#451	C₂²	1	1	yes	characteristic
114	C₁₃×#451	C₂²	1	1	yes	characteristic
115	C₁₃×#451	C₂²	1	1	yes	characteristic
116	C₁₃×#451	C₂²	1	1	yes	characteristic
117	C₁₃×#451	C₂²	1	2	yes	—
118	C₁₃×#451	C₂²	1	2	yes	—
119	C₁₃×#448	C₂²	1	1	yes	characteristic
120	C₁₃×#448	C₂²	1	1	yes	characteristic
121	C₁₃×#441	C₂²	1	2	yes	complemented
122	C₁₃×#441	C₂²	1	2	yes	complemented
123	C₁₃×#441	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×Q₁₆	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
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	—
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	—
139	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
140	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
141	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
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×M₁₆	C₂³	1	2	yes	—
153	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
154	C₁₃×C₄⋊Q₈	—	2	1	no	—
155	C₁₃×C₄⋊Q₈	—	2	1	no	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
158	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
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×#126	—	2	1	no	—
164	C₁₃×#126	—	2	1	no	—
165	C₁₃×#126	—	2	2	no	—
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	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	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×#126	—	2	1	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	2	no	—
187	C₁₃×#125	—	2	1	no	—
188	C₁₃×#125	—	2	1	no	—
189	C₁₃×#125	—	2	1	no	—
190	C₁₃×#125	—	2	1	no	—
191	C₁₃×#125	—	2	1	no	—
192	C₁₃×#125	—	2	1	no	—
193	C₁₃×#125	—	2	1	no	—
194	C₁₃×#125	—	2	1	no	—
195	C₁₃×#125	—	2	1	no	—
196	C₁₃×#125	C₂³	1	2	yes	—
197	C₁₃×#125	C₂³	1	1	yes	characteristic
198	C₁₃×#125	C₂³	1	2	yes	—
199	C₁₃×#125	C₂³	1	1	yes	characteristic
200	C₁₃×#124	—	2	1	no	—
201	C₁₃×#124	—	2	1	no	—
202	C₁₃×#124	C₂³	1	1	yes	characteristic
203	C₁₃×#124	C₂³	1	1	yes	characteristic
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×#123	—	2	1	no	—
209	C₁₃×#123	—	2	1	no	—
210	C₁₃×#123	—	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	1	no	—
217	C₁₃×C₂²⋊Q₈	—	2	1	no	—
218	C₁₃×C₂²⋊Q₈	—	2	1	no	—
219	C₁₃×C₂²⋊Q₈	—	2	1	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	C₂³	1	1	yes	characteristic
226	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
229	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
230	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
231	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
232	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×#121	C₂³	1	1	yes	characteristic
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#120	—	2	1	no	—
238	C₄×Q₈×C₁₃	—	2	1	no	—
239	C₄×Q₈×C₁₃	—	2	1	no	—
240	C₄×Q₈×C₁₃	—	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	C₂³	1	2	yes	—
247	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
255	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
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	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
264	C₁₃×#117	—	2	1	no	—
265	C₁₃×#117	—	2	1	no	—
266	C₁₃×#117	—	2	1	no	—
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	D₄	1	1	yes	characteristic
272	C₁₃×#117	D₄	1	1	yes	characteristic
273	C₁₃×#117	D₄	1	1	yes	characteristic
274	C₁₃×#117	D₄	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	C₁₃×#117	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
289	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
290	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
291	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
292	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×#103	C₂³	1	2	yes	—
327	C₁₃×#103	C₂³	1	2	yes	—
328	C₁₃×#103	C₂³	1	2	yes	—
329	C₁₃×#103	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	#60983	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
344	C₁₃×#41	—	4	2	no	—
345	C₂×Q₈×C₁₃	—	2	1	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	—	4	2	no	—
351	C₂×Q₈×C₁₃	—	4	2	no	—
352	C₂×Q₈×C₁₃	—	4	2	no	—
353	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	—	2	1	no	—
363	C₂²×C₄×C₁₃	—	2	1	no	—
364	C₂²×C₄×C₁₃	—	2	1	no	—
365	C₂²×C₄×C₁₃	—	2	1	no	—
366	C₂²×C₄×C₁₃	—	2	1	no	—
367	C₂²×C₄×C₁₃	—	2	1	no	—
368	C₂²×C₄×C₁₃	—	2	1	no	—
369	C₂²×C₄×C₁₃	—	2	1	no	—
370	C₂²×C₄×C₁₃	—	2	1	no	—
371	C₂²×C₄×C₁₃	—	4	2	no	—
372	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₁₃×Q₁₆	—	4	2	no	—
383	C₁₃×Q₁₆	—	4	2	no	—
384	C₁₃×Q₁₆	—	4	2	no	—
385	C₁₃×Q₁₆	—	4	2	no	—
386	C₁₃×Q₁₆	—	4	2	no	—
387	C₁₃×Q₁₆	—	4	2	no	—
388	C₁₃×SD₁₆	—	4	2	no	—
389	C₁₃×SD₁₆	—	4	2	no	—
390	C₁₃×M₁₆	—	4	2	no	—
391	C₂×C₈×C₁₃	—	4	2	no	—
392	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
393	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
394	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
395	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	1	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	1	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	2	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	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	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	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
445	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
446	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
447	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
448	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
449	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
451	C₁₃×C₂²⋊C₄	—	2	1	no	—
452	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	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	C₂×D₄	1	1	yes	characteristic
471	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
472	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
473	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
474	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₁₃	—	2	2	no	—
479	C₄²×C₁₃	—	2	2	no	—
480	C₄²×C₁₃	—	2	2	no	—
481	C₄²×C₁₃	—	2	2	no	—
482	C₄²×C₁₃	—	2	1	no	—
483	C₄²×C₁₃	—	2	1	no	—
484	C₄²×C₁₃	—	2	1	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	C₂×D₄	1	1	yes	characteristic
490	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
491	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
497	#3495	C₂×C₁₃	1	1	yes	characteristic
498	C₂×#541	C₂×C₁₃	1	1	yes	characteristic, complemented
499	#3261	C₂×C₁₃	1	2	yes	complemented
500	#3258	C₂×C₁₃	1	2	yes	complemented
501	#3242	C₂×C₁₃	1	2	yes	complemented
502	#3236	C₂×C₁₃	1	1	yes	characteristic, complemented
503	#3232	C₂×C₁₃	1	1	yes	characteristic, complemented
504	#3223	C₂×C₁₃	1	2	yes	complemented
505	#3218	C₂×C₁₃	1	1	yes	characteristic, complemented
506	#3209	C₂×C₁₃	1	1	yes	characteristic, complemented
507	#3196	C₂×C₁₃	1	1	yes	characteristic
508	#3195	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3190	C₂×C₁₃	1	1	yes	characteristic
510	#3189	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3178	C₂×C₁₃	1	2	yes	complemented
512	#3177	C₂×C₁₃	1	2	yes	complemented
513	#3127	C₂×C₁₃	1	2	yes	complemented
514	#3120	C₂×C₁₃	1	2	yes	complemented
515	#3117	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3113	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3108	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3104	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#2924	C₂×C₁₃	1	1	yes	characteristic, complemented
520	C₂³×C₁₃	—	2	2	no	—
521	C₂³×C₁₃	—	2	1	no	—
522	C₂³×C₁₃	—	4	1	no	—
523	C₂³×C₁₃	—	4	1	no	—
524	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
525	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
526	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
527	Q₈×C₁₃	—	2	2	no	—
528	Q₈×C₁₃	—	2	2	no	—
529	Q₈×C₁₃	—	2	2	no	—
530	Q₈×C₁₃	—	2	2	no	—
531	Q₈×C₁₃	—	2	2	no	—
532	Q₈×C₁₃	—	2	2	no	—
533	Q₈×C₁₃	—	2	2	no	—
534	Q₈×C₁₃	—	4	2	no	—
535	Q₈×C₁₃	—	4	2	no	—
536	Q₈×C₁₃	—	4	2	no	—
537	Q₈×C₁₃	—	8	1	no	—
538	Q₈×C₁₃	—	8	1	no	—
539	D₄×C₁₃	—	2	2	no	—
540	D₄×C₁₃	—	4	2	no	—
541	D₄×C₁₃	—	4	2	no	—
542	D₄×C₁₃	—	8	1	no	—
543	C₂×C₄×C₁₃	—	2	2	no	—
544	C₂×C₄×C₁₃	—	2	2	no	—
545	C₂×C₄×C₁₃	—	2	2	no	—
546	C₂×C₄×C₁₃	—	2	2	no	—
547	C₂×C₄×C₁₃	—	2	2	no	—
548	C₂×C₄×C₁₃	—	2	1	no	—
549	C₂×C₄×C₁₃	—	2	1	no	—
550	C₂×C₄×C₁₃	—	2	1	no	—
551	C₂×C₄×C₁₃	—	2	1	no	—
552	C₂×C₄×C₁₃	—	2	2	no	—
553	C₂×C₄×C₁₃	—	2	2	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	2	no	—
556	C₂×C₄×C₁₃	—	2	2	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	4	1	no	—
560	C₂×C₄×C₁₃	—	4	1	no	—
561	C₂×C₄×C₁₃	—	4	1	no	—
562	C₂×C₄×C₁₃	—	4	1	no	—
563	C₂×C₄×C₁₃	—	4	1	no	—
564	C₂×C₄×C₁₃	—	4	2	no	—
565	C₂×C₄×C₁₃	—	4	2	no	—
566	C₂×C₄×C₁₃	—	4	2	no	—
567	C₂×C₄×C₁₃	—	4	2	no	—
568	C₂×C₄×C₁₃	—	4	2	no	—
569	C₂×C₄×C₁₃	—	4	2	no	—
570	C₂×C₄×C₁₃	—	8	1	no	—
571	C₂×C₄×C₁₃	—	8	1	no	—
572	C₂×C₄×C₁₃	—	8	1	no	—
573	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
574	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
575	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
576	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
577	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
578	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
579	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
580	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
581	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
582	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
583	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
584	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
585	C₈×C₁₃	—	2	2	no	—
586	C₈×C₁₃	—	2	2	no	—
587	C₈×C₁₃	—	2	2	no	—
588	C₈×C₁₃	—	2	2	no	—
589	#556	—	2	1	no	—
590	#554	—	2	1	no	—
591	#552	—	2	1	no	—
592	#552	—	2	1	no	—
593	#552	—	2	1	no	—
594	#552	—	2	1	no	—
595	#551	—	2	1	no	—
596	#551	—	2	1	no	—
597	#544	C₂²×C₁₃	1	1	yes	characteristic
598	#542	C₂²×C₁₃	1	1	yes	characteristic
599	#542	C₂²×C₁₃	1	1	yes	characteristic
600	#541	—	2	1	no	—
601	#541	—	2	1	no	—
602	#541	—	2	1	no	—
603	#541	—	2	1	no	—
604	#541	C₂²×C₁₃	1	2	yes	—
605	#541	C₂²×C₁₃	1	1	yes	characteristic
606	#541	C₂²×C₁₃	1	2	yes	—
607	#541	C₂²×C₁₃	1	2	yes	—
608	#541	C₂²×C₁₃	1	2	yes	—
609	#541	C₂²×C₁₃	1	1	yes	characteristic
610	#536	C₂²×C₁₃	1	1	yes	characteristic
611	#533	C₂²×C₁₃	1	1	yes	characteristic
612	#533	C₂²×C₁₃	1	1	yes	characteristic
613	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
614	#529	C₂²×C₁₃	1	1	yes	characteristic
615	#529	C₂²×C₁₃	1	1	yes	characteristic
616	C₂×#126	—	2	1	no	—
617	C₂×#126	—	2	1	no	—
618	C₂×#125	—	2	1	no	—
619	C₂×#125	—	2	1	no	—
620	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
621	#525	C₂²×C₁₃	1	1	yes	characteristic
622	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
623	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
624	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
625	#520	C₂²×C₁₃	1	1	yes	characteristic
626	#519	C₂²×C₁₃	1	1	yes	characteristic
627	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
628	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
629	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
630	#501	C₂²×C₁₃	1	2	yes	complemented
631	#499	C₂²×C₁₃	1	2	yes	complemented
632	#497	C₂²×C₁₃	1	2	yes	complemented
633	#494	C₂²×C₁₃	1	2	yes	complemented
634	#491	C₂²×C₁₃	1	2	yes	complemented
635	#491	C₂²×C₁₃	1	2	yes	complemented
636	#488	C₂²×C₁₃	1	2	yes	complemented
637	#487	C₂²×C₁₃	1	2	yes	complemented
638	#485	C₂²×C₁₃	1	2	yes	—
639	#485	C₂²×C₁₃	1	2	yes	—
640	#484	C₂²×C₁₃	1	1	yes	characteristic
641	#484	C₂²×C₁₃	1	1	yes	characteristic
642	#484	C₂²×C₁₃	1	1	yes	characteristic
643	#484	C₂²×C₁₃	1	2	yes	—
644	#483	C₂²×C₁₃	1	1	yes	characteristic
645	#483	C₂²×C₁₃	1	1	yes	characteristic
646	#483	C₂²×C₁₃	1	1	yes	characteristic
647	#483	C₂²×C₁₃	1	2	yes	—
648	#481	C₂²×C₁₃	1	1	yes	characteristic
649	#480	C₂²×C₁₃	1	1	yes	characteristic
650	#479	C₂²×C₁₃	1	2	yes	complemented
651	#479	C₂²×C₁₃	1	2	yes	complemented
652	#479	C₂²×C₁₃	1	2	yes	complemented
653	#479	C₂²×C₁₃	1	2	yes	complemented
654	#479	C₂²×C₁₃	1	2	yes	complemented
655	#478	C₂²×C₁₃	1	2	yes	complemented
656	#477	C₂²×C₁₃	1	2	yes	complemented
657	#475	C₂²×C₁₃	1	2	yes	complemented
658	#470	C₂²×C₁₃	1	2	yes	—
659	#470	C₂²×C₁₃	1	2	yes	—
660	#470	C₂²×C₁₃	1	2	yes	—
661	#468	C₂²×C₁₃	1	2	yes	—
662	#467	C₂²×C₁₃	1	2	yes	—
663	#467	C₂²×C₁₃	1	2	yes	—
664	#467	C₂²×C₁₃	1	2	yes	—
665	#465	C₂²×C₁₃	1	2	yes	—
666	#464	C₂²×C₁₃	1	2	yes	complemented
667	#464	C₂²×C₁₃	1	2	yes	complemented
668	#462	C₂²×C₁₃	1	2	yes	complemented
669	#462	C₂²×C₁₃	1	2	yes	complemented
670	#462	C₂²×C₁₃	1	2	yes	complemented
671	#462	C₂²×C₁₃	1	2	yes	complemented
672	#462	C₂²×C₁₃	1	2	yes	complemented
673	#461	C₂²×C₁₃	1	2	yes	complemented
674	#452	C₂²×C₁₃	1	2	yes	—
675	#452	C₂²×C₁₃	1	2	yes	—
676	#451	C₂²×C₁₃	1	1	yes	characteristic
677	#451	C₂²×C₁₃	1	1	yes	characteristic
678	#451	C₂²×C₁₃	1	1	yes	characteristic
679	#451	C₂²×C₁₃	1	1	yes	characteristic
680	#451	C₂²×C₁₃	1	1	yes	characteristic
681	#451	C₂²×C₁₃	1	1	yes	characteristic
682	#451	C₂²×C₁₃	1	2	yes	—
683	#451	C₂²×C₁₃	1	2	yes	—
684	#448	C₂²×C₁₃	1	1	yes	characteristic
685	#448	C₂²×C₁₃	1	1	yes	characteristic
686	#441	C₂²×C₁₃	1	2	yes	complemented
687	#441	C₂²×C₁₃	1	2	yes	complemented
688	#441	C₂²×C₁₃	1	2	yes	complemented
689	#440	C₂²×C₁₃	1	2	yes	complemented
690	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
691	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
692	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
693	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
694	#433	C₂²×C₁₃	1	2	yes	—
695	#433	C₂²×C₁₃	1	2	yes	—
696	#432	C₂²×C₁₃	1	1	yes	characteristic
697	#432	C₂²×C₁₃	1	1	yes	characteristic
698	#431	C₂²×C₁₃	1	1	yes	characteristic
699	#431	C₂²×C₁₃	1	1	yes	characteristic
700	#424	C₂²×C₁₃	1	2	yes	—
701	#407	C₂²×C₁₃	1	1	yes	characteristic
702	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
703	#405	C₂²×C₁₃	1	2	yes	—
704	C₂²×C₁₃	—	2	1	no	—
705	C₂²×C₁₃	—	2	1	no	—
706	C₂²×C₁₃	—	2	1	no	—
707	C₂²×C₁₃	—	2	1	no	—
708	C₂²×C₁₃	—	2	1	no	—
709	C₂²×C₁₃	—	2	1	no	—
710	C₂²×C₁₃	—	2	1	no	—
711	C₂²×C₁₃	—	2	1	no	—
712	C₂²×C₁₃	—	4	1	no	—
713	C₂²×C₁₃	—	4	1	no	—
714	C₂²×C₁₃	—	4	1	no	—
715	C₂²×C₁₃	—	8	2	no	—
716	C₂²×C₁₃	#578	1	2	yes	—
717	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
718	C₄×C₁₃	—	2	1	no	—
719	C₄×C₁₃	—	2	1	no	—
720	C₄×C₁₃	—	2	1	no	—
721	C₄×C₁₃	—	2	1	no	—
722	C₄×C₁₃	—	2	1	no	—
723	C₄×C₁₃	—	2	1	no	—
724	C₄×C₁₃	—	2	1	no	—
725	C₄×C₁₃	—	2	1	no	—
726	C₄×C₁₃	—	2	1	no	—
727	C₄×C₁₃	—	2	1	no	—
728	C₄×C₁₃	—	2	1	no	—
729	C₄×C₁₃	—	4	2	no	—
730	C₄×C₁₃	—	4	1	no	—
731	C₄×C₁₃	—	4	1	no	—
732	C₄×C₁₃	—	4	1	no	—
733	C₄×C₁₃	—	4	1	no	—
734	C₄×C₁₃	—	4	1	no	—
735	C₄×C₁₃	—	4	1	no	—
736	C₄×C₁₃	—	4	2	no	—
737	C₄×C₁₃	—	4	2	no	—
738	C₄×C₁₃	—	4	2	no	—
739	C₄×C₁₃	—	4	1	no	—
740	C₄×C₁₃	#585	1	2	yes	—
741	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
742	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
743	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
744	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
745	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
746	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
747	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
748	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
749	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
750	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
751	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
752	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
753	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
754	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
755	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
756	C₄⋊Q₈	—	2	1	no	—
757	C₄⋊Q₈	—	2	1	no	—
758	C₄⋊Q₈	—	2	1	no	—
759	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
760	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
761	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
762	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
763	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
764	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
765	#126	—	2	1	no	—
766	#126	—	2	1	no	—
767	#126	—	2	2	no	—
768	#126	—	2	2	no	—
769	#126	—	2	2	no	—
770	#126	—	2	2	no	—
771	#126	—	2	2	no	—
772	#126	—	2	2	no	—
773	#126	—	2	2	no	—
774	#126	—	2	2	no	—
775	#126	—	2	1	no	—
776	#126	—	2	1	no	—
777	#126	—	2	1	no	—
778	#126	—	2	1	no	—
779	#126	—	2	1	no	—
780	#126	—	2	1	no	—
781	#125	—	2	2	no	—
782	#125	—	2	2	no	—
783	#125	—	2	2	no	—
784	#125	—	2	2	no	—
785	#125	—	2	2	no	—
786	#125	—	2	2	no	—
787	#125	—	2	2	no	—
788	#125	—	2	2	no	—
789	#125	—	2	1	no	—
790	#125	—	2	1	no	—
791	#125	—	2	1	no	—
792	#125	—	2	1	no	—
793	#125	—	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	C₂³×C₁₃	1	2	yes	—
799	#125	C₂³×C₁₃	1	2	yes	—
800	#125	C₂³×C₁₃	1	1	yes	characteristic
801	#125	C₂³×C₁₃	1	1	yes	characteristic
802	#124	—	2	1	no	—
803	#124	—	2	1	no	—
804	#124	C₂³×C₁₃	1	1	yes	characteristic
805	#124	C₂³×C₁₃	1	1	yes	characteristic
806	#123	—	2	1	no	—
807	#123	—	2	1	no	—
808	#123	—	2	1	no	—
809	#123	—	2	1	no	—
810	#123	—	2	1	no	—
811	#123	—	2	1	no	—
812	#123	—	2	1	no	—
813	C₂²⋊Q₈	—	2	1	no	—
814	C₂²⋊Q₈	—	2	1	no	—
815	C₂²⋊Q₈	—	2	1	no	—
816	C₂²⋊Q₈	—	2	1	no	—
817	C₂²⋊Q₈	—	2	1	no	—
818	C₂²⋊Q₈	—	2	1	no	—
819	C₂²⋊Q₈	—	2	1	no	—
820	C₂²⋊Q₈	—	2	1	no	—
821	C₂²⋊Q₈	—	2	1	no	—
822	C₂²⋊Q₈	—	2	1	no	—
823	C₂²⋊Q₈	—	2	1	no	—
824	C₂²⋊Q₈	—	2	1	no	—
825	C₂²⋊Q₈	—	2	1	no	—
826	C₂²⋊Q₈	—	2	1	no	—
827	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
828	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
829	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
830	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
831	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
832	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
833	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
834	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
835	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
836	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
837	#121	C₂³×C₁₃	1	1	yes	characteristic
838	#121	C₂³×C₁₃	1	1	yes	characteristic
839	#120	—	2	1	no	—
840	C₄×Q₈	—	2	1	no	—
841	C₄×Q₈	—	2	1	no	—
842	C₄×Q₈	—	2	1	no	—
843	C₄×Q₈	—	2	1	no	—
844	C₄×Q₈	—	2	1	no	—
845	C₄×Q₈	—	2	1	no	—
846	C₄×Q₈	—	2	1	no	—
847	C₄×Q₈	—	2	1	no	—
848	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
849	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
850	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
851	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
852	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
853	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
854	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
855	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
856	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
857	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
858	C₄×D₄	—	2	1	no	—
859	C₄×D₄	—	2	1	no	—
860	C₄×D₄	—	2	1	no	—
861	C₄×D₄	—	2	1	no	—
862	C₄×D₄	—	2	1	no	—
863	C₄×D₄	—	2	1	no	—
864	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
865	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
866	#117	—	2	1	no	—
867	#117	—	2	1	no	—
868	#117	—	2	1	no	—
869	#117	—	2	1	no	—
870	#117	—	2	1	no	—
871	#117	—	2	1	no	—
872	#117	—	2	1	no	—
873	#117	D₄×C₁₃	1	1	yes	characteristic
874	#117	D₄×C₁₃	1	1	yes	characteristic
875	#117	D₄×C₁₃	1	1	yes	characteristic
876	#117	D₄×C₁₃	1	1	yes	characteristic
877	#117	C₂³×C₁₃	1	1	yes	characteristic
878	#117	C₂³×C₁₃	1	1	yes	characteristic
879	#117	C₂³×C₁₃	1	1	yes	characteristic
880	#117	C₂³×C₁₃	1	1	yes	characteristic
881	#117	C₂³×C₁₃	1	1	yes	characteristic
882	C₂×C₄⋊C₄	—	2	1	no	—
883	C₂×C₄⋊C₄	—	2	1	no	—
884	C₂×C₄⋊C₄	—	2	1	no	—
885	C₂×C₄⋊C₄	—	2	1	no	—
886	C₂×C₄⋊C₄	—	2	1	no	—
887	C₂×C₄⋊C₄	—	2	1	no	—
888	C₂×C₄⋊C₄	—	2	1	no	—
889	C₂×C₄⋊C₄	—	2	1	no	—
890	C₂×C₄⋊C₄	—	2	1	no	—
891	C₂×C₄⋊C₄	—	2	1	no	—
892	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
893	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	—	2	1	no	—
898	C₂×C₂²⋊C₄	—	2	1	no	—
899	C₂×C₂²⋊C₄	—	2	1	no	—
900	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
902	C₂×C₄²	—	2	1	no	—
903	C₂×C₄²	—	2	1	no	—
904	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
905	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
906	#107	C₂³×C₁₃	1	2	yes	—
907	#107	C₂³×C₁₃	1	2	yes	—
908	#107	C₂³×C₁₃	1	2	yes	—
909	#107	C₂³×C₁₃	1	2	yes	—
910	#106	C₂³×C₁₃	1	2	yes	—
911	#106	C₂³×C₁₃	1	2	yes	—
912	#106	C₂³×C₁₃	1	2	yes	—
913	#106	C₂³×C₁₃	1	2	yes	—
914	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
915	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
916	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
917	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
918	#103	C₂³×C₁₃	1	2	yes	—
919	#103	C₂³×C₁₃	1	2	yes	—
920	#103	C₂³×C₁₃	1	2	yes	—
921	#103	C₂³×C₁₃	1	2	yes	—
922	#103	C₂³×C₁₃	1	2	yes	—
923	#103	C₂³×C₁₃	1	2	yes	—
924	#103	C₂³×C₁₃	1	2	yes	—
925	#103	C₂³×C₁₃	1	2	yes	—
926	#103	C₂³×C₁₃	1	2	yes	—
927	#103	C₂³×C₁₃	1	2	yes	—
928	#103	C₂³×C₁₃	1	2	yes	—
929	#103	C₂³×C₁₃	1	2	yes	—
930	#103	C₂³×C₁₃	1	2	yes	—
931	#103	C₂³×C₁₃	1	2	yes	—
932	#102	C₂³×C₁₃	1	2	yes	—
933	#102	C₂³×C₁₃	1	2	yes	—
934	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
935	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
936	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
937	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
938	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
939	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
940	#97	C₂³×C₁₃	1	2	yes	—
941	#97	C₂³×C₁₃	1	2	yes	—
942	C₄×C₈	C₂³×C₁₃	1	2	yes	—
943	C₄×C₈	C₂³×C₁₃	1	2	yes	—
944	C₂×C₁₃	—	2	2	no	—
945	C₂×C₁₃	—	4	1	no	—
946	C₂×C₁₃	—	4	1	no	—
947	C₂×C₁₃	—	8	1	no	—
948	C₂×C₁₃	#3449	1	1	yes	characteristic
949	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
950	C₂×C₁₃	#3586	1	1	yes	characteristic
951	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
952	#41	—	4	2	no	—
953	C₂×Q₈	—	2	1	no	—
954	C₂×Q₈	—	2	1	no	—
955	C₂×Q₈	—	2	1	no	—
956	C₂×Q₈	—	2	1	no	—
957	C₂×Q₈	—	2	1	no	—
958	C₂×Q₈	—	4	2	no	—
959	C₂×Q₈	—	4	2	no	—
960	C₂×Q₈	—	4	2	no	—
961	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
964	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
965	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₂×D₄	—	2	1	no	—
967	C₂×D₄	—	2	1	no	—
968	C₂×D₄	—	2	1	no	—
969	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
970	C₂²×C₄	—	2	1	no	—
971	C₂²×C₄	—	2	1	no	—
972	C₂²×C₄	—	2	1	no	—
973	C₂²×C₄	—	2	1	no	—
974	C₂²×C₄	—	2	1	no	—
975	C₂²×C₄	—	2	1	no	—
976	C₂²×C₄	—	2	1	no	—
977	C₂²×C₄	—	2	1	no	—
978	C₂²×C₄	—	2	1	no	—
979	C₂²×C₄	—	4	2	no	—
980	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
981	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
982	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
983	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
984	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
985	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
986	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
987	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
988	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
989	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
990	Q₁₆	—	4	2	no	—
991	Q₁₆	—	4	2	no	—
992	Q₁₆	—	4	2	no	—
993	Q₁₆	—	4	2	no	—
994	Q₁₆	—	4	2	no	—
995	Q₁₆	—	4	2	no	—
996	SD₁₆	—	4	2	no	—
997	SD₁₆	—	4	2	no	—
998	M₁₆	—	4	2	no	—
999	C₂×C₈	—	4	2	no	—
1000	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1001	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1002	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1003	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1004	C₄⋊C₄	—	2	1	no	—
1005	C₄⋊C₄	—	2	1	no	—
1006	C₄⋊C₄	—	2	1	no	—
1007	C₄⋊C₄	—	2	1	no	—
1008	C₄⋊C₄	—	2	1	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	—	2	2	no	—
1011	C₄⋊C₄	—	2	2	no	—
1012	C₄⋊C₄	—	2	2	no	—
1013	C₄⋊C₄	—	2	1	no	—
1014	C₄⋊C₄	—	2	1	no	—
1015	C₄⋊C₄	—	2	2	no	—
1016	C₄⋊C₄	—	2	2	no	—
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	—	2	2	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	2	2	no	—
1021	C₄⋊C₄	—	2	2	no	—
1022	C₄⋊C₄	—	2	2	no	—
1023	C₄⋊C₄	—	2	2	no	—
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	2	1	no	—
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	1	no	—
1034	C₄⋊C₄	—	2	1	no	—
1035	C₄⋊C₄	—	2	1	no	—
1036	C₄⋊C₄	—	2	1	no	—
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	1	no	—
1040	C₄⋊C₄	—	2	1	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	C₂×D₄×C₁₃	1	1	yes	characteristic
1046	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1047	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1048	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1049	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1050	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1051	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1052	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1053	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1054	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1055	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1056	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1057	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1058	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1059	C₂²⋊C₄	—	2	1	no	—
1060	C₂²⋊C₄	—	2	1	no	—
1061	C₂²⋊C₄	—	2	1	no	—
1062	C₂²⋊C₄	—	2	1	no	—
1063	C₂²⋊C₄	—	2	2	no	—
1064	C₂²⋊C₄	—	2	2	no	—
1065	C₂²⋊C₄	—	2	2	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	1	no	—
1068	C₂²⋊C₄	—	2	1	no	—
1069	C₂²⋊C₄	—	2	1	no	—
1070	C₂²⋊C₄	—	2	1	no	—
1071	C₂²⋊C₄	—	2	1	no	—
1072	C₂²⋊C₄	—	2	1	no	—
1073	C₂²⋊C₄	—	2	1	no	—
1074	C₂²⋊C₄	—	2	1	no	—
1075	C₂²⋊C₄	—	2	1	no	—
1076	C₂²⋊C₄	—	2	1	no	—
1077	C₂²⋊C₄	—	2	1	no	—
1078	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1079	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1080	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1081	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1082	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1083	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1084	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1085	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1086	C₄²	—	2	2	no	—
1087	C₄²	—	2	2	no	—
1088	C₄²	—	2	2	no	—
1089	C₄²	—	2	2	no	—
1090	C₄²	—	2	1	no	—
1091	C₄²	—	2	1	no	—
1092	C₄²	—	2	1	no	—
1093	C₄²	—	2	1	no	—
1094	C₄²	—	2	1	no	—
1095	C₄²	—	2	1	no	—
1096	C₄²	—	2	1	no	—
1097	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1098	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1099	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1100	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1101	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1102	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1103	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1104	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1105	C₁₃	#60983	1	1	yes	characteristic, direct product factor, Sylow
1106	C₂³	—	2	2	no	—
1107	C₂³	—	2	1	no	—
1108	C₂³	—	4	1	no	—
1109	C₂³	—	4	1	no	—
1110	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1111	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1112	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1113	Q₈	—	2	2	no	—
1114	Q₈	—	2	2	no	—
1115	Q₈	—	2	2	no	—
1116	Q₈	—	2	2	no	—
1117	Q₈	—	2	2	no	—
1118	Q₈	—	2	2	no	—
1119	Q₈	—	2	2	no	—
1120	Q₈	—	4	2	no	—
1121	Q₈	—	4	2	no	—
1122	Q₈	—	4	2	no	—
1123	Q₈	—	8	1	no	—
1124	Q₈	—	8	1	no	—
1125	D₄	—	2	2	no	—
1126	D₄	—	4	2	no	—
1127	D₄	—	4	2	no	—
1128	D₄	—	8	1	no	—
1129	C₂×C₄	—	2	2	no	—
1130	C₂×C₄	—	2	2	no	—
1131	C₂×C₄	—	2	2	no	—
1132	C₂×C₄	—	2	2	no	—
1133	C₂×C₄	—	2	2	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	2	no	—
1139	C₂×C₄	—	2	2	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	2	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	4	1	no	—
1146	C₂×C₄	—	4	1	no	—
1147	C₂×C₄	—	4	1	no	—
1148	C₂×C₄	—	4	1	no	—
1149	C₂×C₄	—	4	1	no	—
1150	C₂×C₄	—	4	2	no	—
1151	C₂×C₄	—	4	2	no	—
1152	C₂×C₄	—	4	2	no	—
1153	C₂×C₄	—	4	2	no	—
1154	C₂×C₄	—	4	2	no	—
1155	C₂×C₄	—	4	2	no	—
1156	C₂×C₄	—	8	1	no	—
1157	C₂×C₄	—	8	1	no	—
1158	C₂×C₄	—	8	1	no	—
1159	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1160	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1161	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1162	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1163	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1164	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1165	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1166	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1167	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1168	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1169	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1170	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1171	C₈	—	2	2	no	—
1172	C₈	—	2	2	no	—
1173	C₈	—	2	2	no	—
1174	C₈	—	2	2	no	—
1175	C₂²	—	2	1	no	—
1176	C₂²	—	2	1	no	—
1177	C₂²	—	2	1	no	—
1178	C₂²	—	2	1	no	—
1179	C₂²	—	2	1	no	—
1180	C₂²	—	2	1	no	—
1181	C₂²	—	2	1	no	—
1182	C₂²	—	2	1	no	—
1183	C₂²	—	4	1	no	—
1184	C₂²	—	4	1	no	—
1185	C₂²	—	4	1	no	—
1186	C₂²	—	8	2	no	—
1187	C₂²	C₁₃×#578	1	2	yes	—
1188	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1189	C₄	—	2	1	no	—
1190	C₄	—	2	1	no	—
1191	C₄	—	2	1	no	—
1192	C₄	—	2	1	no	—
1193	C₄	—	2	1	no	—
1194	C₄	—	2	1	no	—
1195	C₄	—	2	1	no	—
1196	C₄	—	2	1	no	—
1197	C₄	—	2	1	no	—
1198	C₄	—	2	1	no	—
1199	C₄	—	2	1	no	—
1200	C₄	—	4	2	no	—
1201	C₄	—	4	1	no	—
1202	C₄	—	4	2	no	—
1203	C₄	—	4	1	no	—
1204	C₄	—	4	1	no	—
1205	C₄	—	4	1	no	—
1206	C₄	—	4	1	no	—
1207	C₄	—	4	1	no	—
1208	C₄	—	4	1	no	—
1209	C₄	—	4	2	no	—
1210	C₄	—	4	2	no	—
1211	C₄	C₁₃×#585	1	2	yes	—
1212	C₂	—	2	2	no	—
1213	C₂	—	4	1	no	—
1214	C₂	—	4	1	no	—
1215	C₂	—	8	1	no	—
1216	C₂	C₁₃×#3449	1	1	yes	characteristic
1217	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1218	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×#525	C₂²
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×#3261	C₂	semidirect
4. C₁₃×#3258	C₂	semidirect
5. C₁₃×#3242	C₂	semidirect
6. C₁₃×#3236	C₂	semidirect
7. C₁₃×#3232	C₂	semidirect
8. C₁₃×#3223	C₂	semidirect
9. C₁₃×#3218	C₂	semidirect
10. C₁₃×#3209	C₂	semidirect
12. C₁₃×#3195	C₂	semidirect
14. C₁₃×#3189	C₂	semidirect
15. C₁₃×#3178	C₂	semidirect
16. C₁₃×#3177	C₂	semidirect
17. C₁₃×#3127	C₂	semidirect
18. C₁₃×#3120	C₂	semidirect
19. C₁₃×#3117	C₂	semidirect
20. C₁₃×#3113	C₂	semidirect
21. C₁₃×#3108	C₂	semidirect
22. C₁₃×#3104	C₂	semidirect
23. C₁₃×#2924	C₂	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#499	C₂²	semidirect
67. C₁₃×#497	C₂²	semidirect
68. C₁₃×#494	C₂²	semidirect
69. C₁₃×#491	C₂²	semidirect
70. C₁₃×#491	C₂²	semidirect
71. C₁₃×#488	C₂²	semidirect
72. C₁₃×#487	C₂²	semidirect
85. C₁₃×#479	C₂²	semidirect
86. C₁₃×#479	C₂²	semidirect
87. C₁₃×#479	C₂²	semidirect
88. C₁₃×#479	C₂²	semidirect
89. C₁₃×#479	C₂²	semidirect
90. C₁₃×#478	C₂²	semidirect
91. C₁₃×#477	C₂²	semidirect
92. C₁₃×#475	C₂²	semidirect
101. C₁₃×#464	C₂²	semidirect
102. C₁₃×#464	C₂²	semidirect
103. C₁₃×#462	C₂²	semidirect
104. C₁₃×#462	C₂²	semidirect
105. C₁₃×#462	C₂²	semidirect
106. C₁₃×#462	C₂²	semidirect
107. C₁₃×#462	C₂²	semidirect
108. C₁₃×#461	C₂²	semidirect
121. C₁₃×#441	C₂²	semidirect
122. C₁₃×#441	C₂²	semidirect
123. C₁₃×#441	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
125. C₄×C₁₃×Q₁₆	C₂²	semidirect
126. C₄×C₁₃×Q₁₆	C₂²	semidirect
127. C₄×C₁₃×Q₁₆	C₂²	semidirect
128. C₄×C₁₃×SD₁₆	C₂²	semidirect
342. #60983	C₁₃	direct (N × H)
498. C₂×#541	C₂×C₁₃	semidirect
499. #3261	C₂×C₁₃	semidirect
500. #3258	C₂×C₁₃	semidirect
501. #3242	C₂×C₁₃	semidirect
502. #3236	C₂×C₁₃	semidirect
503. #3232	C₂×C₁₃	semidirect
504. #3223	C₂×C₁₃	semidirect
505. #3218	C₂×C₁₃	semidirect
506. #3209	C₂×C₁₃	semidirect
508. #3195	C₂×C₁₃	semidirect
510. #3189	C₂×C₁₃	semidirect
511. #3178	C₂×C₁₃	semidirect
512. #3177	C₂×C₁₃	semidirect
513. #3127	C₂×C₁₃	semidirect
514. #3120	C₂×C₁₃	semidirect
515. #3117	C₂×C₁₃	semidirect
516. #3113	C₂×C₁₃	semidirect
517. #3108	C₂×C₁₃	semidirect
518. #3104	C₂×C₁₃	semidirect
519. #2924	C₂×C₁₃	semidirect
630. #501	C₂²×C₁₃	semidirect
631. #499	C₂²×C₁₃	semidirect
632. #497	C₂²×C₁₃	semidirect
633. #494	C₂²×C₁₃	semidirect
634. #491	C₂²×C₁₃	semidirect
635. #491	C₂²×C₁₃	semidirect
636. #488	C₂²×C₁₃	semidirect
637. #487	C₂²×C₁₃	semidirect
650. #479	C₂²×C₁₃	semidirect
651. #479	C₂²×C₁₃	semidirect
652. #479	C₂²×C₁₃	semidirect
653. #479	C₂²×C₁₃	semidirect
654. #479	C₂²×C₁₃	semidirect
655. #478	C₂²×C₁₃	semidirect
656. #477	C₂²×C₁₃	semidirect
657. #475	C₂²×C₁₃	semidirect
666. #464	C₂²×C₁₃	semidirect
667. #464	C₂²×C₁₃	semidirect
668. #462	C₂²×C₁₃	semidirect
669. #462	C₂²×C₁₃	semidirect
670. #462	C₂²×C₁₃	semidirect
671. #462	C₂²×C₁₃	semidirect
672. #462	C₂²×C₁₃	semidirect
673. #461	C₂²×C₁₃	semidirect
686. #441	C₂²×C₁₃	semidirect
687. #441	C₂²×C₁₃	semidirect
688. #441	C₂²×C₁₃	semidirect
689. #440	C₂²×C₁₃	semidirect
690. C₄×Q₁₆	C₂²×C₁₃	semidirect
691. C₄×Q₁₆	C₂²×C₁₃	semidirect
692. C₄×Q₁₆	C₂²×C₁₃	semidirect
693. C₄×SD₁₆	C₂²×C₁₃	semidirect
1105. C₁₃	#60983	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×#541	2
C₁₃×#3261	2
C₁₃×#3258	2
C₁₃×#3242	2
C₁₃×#3236	2
C₁₃×#3232	2
C₁₃×#3223	2
C₁₃×#3218	2
C₁₃×#3209	2
C₁₃×#3196	2
C₁₃×#3195	2
C₁₃×#3190	2
C₁₃×#3189	2
C₁₃×#3178	2
C₁₃×#3177	2
C₁₃×#3127	2
C₁₃×#3120	2
C₁₃×#3117	2
C₁₃×#3113	2
C₁₃×#3108	2
C₁₃×#3104	2
C₁₃×#2924	2
#60983	13

Subgroups — C13×#60983 #15747322

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60983 #15747322