Subgroups — C₁₃×#61483 #15747822

Order 3328.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1158 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3522	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3394	C₂	1	1	yes	maximal, characteristic, complemented
4	Q₈×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3335	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3335	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3332	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3331	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3316	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3284	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3173	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3167	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3125	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3125	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3113	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2952	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#135	C₂²	1	2	yes	—
25	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
26	C₁₃×#559	—	2	1	no	—
27	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
28	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#556	C₂²	1	1	yes	characteristic
30	C₁₃×#554	—	2	1	no	—
31	C₁₃×#554	C₂²	1	2	yes	—
32	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#552	—	2	1	no	—
34	C₁₃×#551	—	2	2	no	—
35	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
37	C₁₃×#548	—	2	1	no	—
38	C₁₃×#548	C₂²	1	2	yes	—
39	C₁₃×#547	—	2	2	no	—
40	C₁₃×#547	C₂²	1	1	yes	characteristic
41	C₁₃×#547	C₂²	1	1	yes	characteristic
42	C₁₃×#547	C₂²	1	2	yes	—
43	C₁₃×#546	C₂²	1	2	yes	—
44	C₁₃×#542	—	2	2	no	—
45	C₁₃×#542	C₂²	1	2	yes	—
46	C₁₃×#542	C₂²	1	2	yes	complemented
47	C₁₃×#539	—	2	2	no	—
48	C₁₃×#533	C₂²	1	1	yes	characteristic
49	C₁₃×#532	—	2	1	no	—
50	C₁₃×#532	C₂²	1	1	yes	characteristic
51	C₁₃×#529	—	2	1	no	—
52	C₁₃×#529	C₂²	1	1	yes	characteristic
53	C₁₃×#525	—	2	1	no	—
54	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
55	C₁₃×#520	C₂²	1	2	yes	—
56	C₁₃×#520	C₂²	1	2	yes	complemented
57	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
59	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#498	C₂²	1	2	yes	complemented
61	C₁₃×#495	C₂²	1	2	yes	—
62	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#489	C₂²	1	2	yes	—
64	C₁₃×#489	C₂²	1	2	yes	complemented
65	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#483	C₂²	1	2	yes	—
68	C₁₃×#483	C₂²	1	2	yes	complemented
69	C₁₃×#483	C₂²	1	2	yes	complemented
70	C₁₃×#481	C₂²	1	2	yes	—
71	C₁₃×#481	C₂²	1	2	yes	—
72	C₁₃×#481	C₂²	1	2	yes	complemented
73	C₁₃×#476	C₂²	1	2	yes	—
74	C₁₃×#476	C₂²	1	1	yes	characteristic
75	C₁₃×#476	C₂²	1	1	yes	characteristic
76	C₁₃×#476	C₂²	1	2	yes	complemented
77	C₁₃×#475	C₂²	1	2	yes	complemented
78	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#475	C₂²	1	2	yes	complemented
81	C₁₃×#470	C₂²	1	2	yes	complemented
82	C₁₃×#469	C₂²	1	2	yes	—
83	C₁₃×#465	C₂²	1	2	yes	—
84	C₁₃×#465	C₂²	1	2	yes	—
85	C₁₃×#465	C₂²	1	2	yes	—
86	C₁₃×#465	C₂²	1	2	yes	complemented
87	C₁₃×#464	C₂²	1	2	yes	—
88	C₁₃×#464	C₂²	1	2	yes	complemented
89	C₁₃×#463	C₂²	1	2	yes	—
90	C₁₃×#463	C₂²	1	2	yes	—
91	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#459	C₂²	1	1	yes	characteristic
94	C₁₃×#459	C₂²	1	1	yes	characteristic
95	C₁₃×#452	C₂²	1	2	yes	—
96	C₁₃×#452	C₂²	1	2	yes	complemented
97	C₁₃×#451	C₂²	1	2	yes	—
98	C₁₃×#449	C₂²	1	2	yes	—
99	C₁₃×#449	C₂²	1	2	yes	—
100	C₁₃×#447	C₂²	1	2	yes	—
101	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
102	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#442	C₂²	1	2	yes	—
104	C₁₃×#442	C₂²	1	2	yes	—
105	C₁₃×#442	C₂²	1	2	yes	—
106	C₁₃×#441	C₂²	1	2	yes	complemented
107	C₁₃×#441	C₂²	1	2	yes	complemented
108	C₁₃×#441	C₂²	1	2	yes	complemented
109	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
110	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
111	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
113	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
115	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
116	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
119	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
120	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
121	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#435	C₂²	1	2	yes	—
123	C₈×D₄×C₁₃	C₂²	1	2	yes	—
124	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#433	C₂²	1	2	yes	complemented
126	C₁₃×#432	C₂²	1	1	yes	characteristic
127	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
128	C₂×C₁₃×#106	C₂²	1	2	yes	complemented
129	C₁₃×#417	C₂²	1	2	yes	—
130	C₁₃×#417	C₂²	1	2	yes	complemented
131	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
132	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
133	C₁₃×#405	C₂²	1	2	yes	complemented
134	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	2	no	—
137	C₂×C₁₃×#41	—	2	1	no	—
138	C₂×C₁₃×#41	C₂³	1	2	yes	—
139	C₂×C₁₃×#41	C₂³	1	2	yes	—
140	C₂²×Q₈×C₁₃	—	2	1	no	—
141	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃	—	2	1	no	—
144	C₁₃×#135	—	2	8	no	—
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×SD₁₆	—	2	4	no	—
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×D₈	C₂³	1	2	yes	—
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
157	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
158	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
161	C₁₃×C₄⋊Q₈	—	2	2	no	—
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×#127	—	2	1	no	—
168	C₁₃×#127	C₂³	1	1	yes	characteristic
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	D₄	1	2	yes	—
173	C₁₃×#125	—	2	1	no	—
174	C₁₃×#125	—	2	2	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	D₄	1	1	yes	characteristic
177	C₁₃×#124	—	2	1	no	—
178	C₁₃×#124	—	2	2	no	—
179	C₁₃×#124	—	2	2	no	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	—	2	1	no	—
182	C₁₃×#124	D₄	1	1	yes	characteristic
183	C₁₃×#124	C₂³	1	2	yes	—
184	C₁₃×#124	C₂³	1	2	yes	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×#123	—	2	2	no	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	D₄	1	2	yes	—
194	C₁₃×C₂²⋊Q₈	—	2	1	no	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	1	no	—
198	C₁₃×C₂²⋊Q₈	—	2	1	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
207	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₃×#121	—	2	1	no	—
211	C₁₃×#121	—	2	2	no	—
212	C₁₃×#121	—	2	1	no	—
213	C₁₃×#121	—	2	2	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	D₄	1	1	yes	characteristic
216	C₁₃×#121	C₂³	1	2	yes	—
217	C₁₃×#121	C₂³	1	2	yes	—
218	C₁₃×#121	C₂³	1	2	yes	—
219	C₁₃×#120	—	2	2	no	—
220	C₄×Q₈×C₁₃	—	2	1	no	—
221	C₄×Q₈×C₁₃	—	2	1	no	—
222	C₄×Q₈×C₁₃	—	2	1	no	—
223	C₄×Q₈×C₁₃	—	2	1	no	—
224	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
229	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₁₃	—	2	2	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₃	C₂³	1	2	yes	—
249	C₄×D₄×C₁₃	C₂³	1	2	yes	—
250	C₄×D₄×C₁₃	C₂³	1	2	yes	—
251	C₄×D₄×C₁₃	C₂³	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	—	2	2	no	—
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	C₂³	1	2	yes	—
258	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
259	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
260	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
261	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
266	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
267	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
268	C₂×C₄²×C₁₃	—	2	1	no	—
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#106	C₂³	1	1	yes	characteristic
271	C₁₃×#106	C₂³	1	1	yes	characteristic
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	1	yes	characteristic
274	C₁₃×#106	C₂³	1	2	yes	—
275	C₁₃×#106	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	2	yes	—
277	C₁₃×#106	C₂³	1	2	yes	—
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#102	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	1	yes	characteristic
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	2	yes	—
314	#61483	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₂⁴×C₁₃	—	2	1	no	—
316	C₁₃×#41	—	2	4	no	—
317	C₁₃×#41	—	2	4	no	—
318	C₁₃×#41	—	4	2	no	—
319	C₁₃×#41	—	4	2	no	—
320	C₁₃×#41	—	8	2	no	—
321	C₁₃×#41	—	8	4	no	—
322	C₁₃×#41	—	8	2	no	—
323	C₂×Q₈×C₁₃	—	2	1	no	—
324	C₂×Q₈×C₁₃	—	2	1	no	—
325	C₂×Q₈×C₁₃	—	2	2	no	—
326	C₂×Q₈×C₁₃	—	2	2	no	—
327	C₂×Q₈×C₁₃	—	2	1	no	—
328	C₂×Q₈×C₁₃	—	2	2	no	—
329	C₂×Q₈×C₁₃	—	4	1	no	—
330	C₂×Q₈×C₁₃	—	8	2	no	—
331	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	2	1	no	—
344	C₂×D₄×C₁₃	—	4	1	no	—
345	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
346	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
347	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
349	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	—	2	1	no	—
352	C₂²×C₄×C₁₃	—	2	1	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	1	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	2	1	no	—
364	C₂²×C₄×C₁₃	—	8	2	no	—
365	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
369	C₁₃×Q₁₆	—	2	4	no	—
370	C₁₃×Q₁₆	—	4	2	no	—
371	C₁₃×SD₁₆	—	2	2	no	—
372	C₁₃×SD₁₆	—	2	2	no	—
373	C₁₃×SD₁₆	—	2	2	no	—
374	C₁₃×SD₁₆	—	2	4	no	—
375	C₁₃×SD₁₆	—	4	2	no	—
376	C₁₃×SD₁₆	#41	1	4	yes	complemented
377	C₁₃×D₈	—	2	4	no	—
378	C₁₃×D₈	—	4	2	no	—
379	C₁₃×M₁₆	—	4	2	no	—
380	C₂×C₈×C₁₃	—	2	2	no	—
381	C₂×C₈×C₁₃	—	2	4	no	—
382	C₂×C₈×C₁₃	—	4	1	no	—
383	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
387	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
388	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
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	2	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	1	no	—
403	C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
417	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
419	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
420	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	1	no	—
427	C₁₃×C₂²⋊C₄	—	2	1	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	2	no	—
438	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₄²×C₁₃	—	2	1	no	—
444	C₄²×C₁₃	—	2	1	no	—
445	C₄²×C₁₃	—	2	1	no	—
446	C₄²×C₁₃	—	2	1	no	—
447	C₄²×C₁₃	—	2	2	no	—
448	C₄²×C₁₃	—	2	2	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
451	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
452	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₄²×C₁₃	C₂⁴	1	2	yes	—
455	#3522	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3520	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3394	C₂×C₁₃	1	1	yes	characteristic, complemented
458	Q₈×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3335	C₂×C₁₃	1	2	yes	complemented
462	#3335	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3332	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3331	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3316	C₂×C₁₃	1	2	yes	complemented
466	#3306	C₂×C₁₃	1	2	yes	complemented
467	#3284	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3282	C₂×C₁₃	1	2	yes	complemented
469	#3173	C₂×C₁₃	1	2	yes	complemented
470	#3167	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3125	C₂×C₁₃	1	2	yes	complemented
472	#3125	C₂×C₁₃	1	2	yes	complemented
473	#3113	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#2966	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#2952	C₂×C₁₃	1	2	yes	complemented
477	C₂×C₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
478	C₂³×C₁₃	—	2	1	no	—
479	C₂³×C₁₃	—	2	1	no	—
480	C₂³×C₁₃	—	2	2	no	—
481	C₂³×C₁₃	—	4	2	no	—
482	C₂³×C₁₃	—	4	2	no	—
483	C₂³×C₁₃	—	8	1	no	—
484	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
485	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
486	Q₈×C₁₃	—	2	2	no	—
487	Q₈×C₁₃	—	2	1	no	—
488	Q₈×C₁₃	—	2	1	no	—
489	Q₈×C₁₃	—	2	2	no	—
490	Q₈×C₁₃	—	2	2	no	—
491	Q₈×C₁₃	—	2	1	no	—
492	Q₈×C₁₃	—	4	2	no	—
493	Q₈×C₁₃	—	4	2	no	—
494	Q₈×C₁₃	—	8	2	no	—
495	Q₈×C₁₃	—	8	1	no	—
496	Q₈×C₁₃	—	8	2	no	—
497	Q₈×C₁₃	C₂×#41	1	2	yes	—
498	D₄×C₁₃	—	2	4	no	—
499	D₄×C₁₃	—	2	2	no	—
500	D₄×C₁₃	—	2	2	no	—
501	D₄×C₁₃	—	2	1	no	—
502	D₄×C₁₃	—	2	1	no	—
503	D₄×C₁₃	—	2	1	no	—
504	D₄×C₁₃	—	2	2	no	—
505	D₄×C₁₃	—	4	2	no	—
506	D₄×C₁₃	—	4	4	no	—
507	D₄×C₁₃	—	4	4	no	—
508	D₄×C₁₃	—	4	4	no	—
509	D₄×C₁₃	—	4	2	no	—
510	D₄×C₁₃	—	8	1	no	—
511	D₄×C₁₃	—	8	2	no	—
512	D₄×C₁₃	—	8	2	no	—
513	D₄×C₁₃	C₂×#41	1	2	yes	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	1	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	4	4	no	—
530	C₂×C₄×C₁₃	—	4	2	no	—
531	C₂×C₄×C₁₃	—	4	4	no	—
532	C₂×C₄×C₁₃	—	4	2	no	—
533	C₂×C₄×C₁₃	—	4	2	no	—
534	C₂×C₄×C₁₃	—	4	2	no	—
535	C₂×C₄×C₁₃	—	8	1	no	—
536	C₂×C₄×C₁₃	—	8	1	no	—
537	C₂×C₄×C₁₃	—	8	2	no	—
538	C₂×C₄×C₁₃	—	8	2	no	—
539	C₂×C₄×C₁₃	—	8	2	no	—
540	C₂×C₄×C₁₃	—	8	1	no	—
541	C₂×C₄×C₁₃	—	8	2	no	—
542	C₂×C₄×C₁₃	—	8	2	no	—
543	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
546	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
547	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
550	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
551	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
552	C₈×C₁₃	—	2	2	no	—
553	C₈×C₁₃	—	2	1	no	—
554	C₈×C₁₃	—	2	1	no	—
555	C₈×C₁₃	—	2	1	no	—
556	C₈×C₁₃	—	2	2	no	—
557	C₈×C₁₃	C₂×#41	1	2	yes	—
558	C₂×#135	C₂²×C₁₃	1	2	yes	—
559	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
560	#559	—	2	1	no	—
561	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
562	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
563	#556	C₂²×C₁₃	1	1	yes	characteristic
564	#554	—	2	1	no	—
565	#554	C₂²×C₁₃	1	2	yes	—
566	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
567	#552	—	2	1	no	—
568	#551	—	2	2	no	—
569	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
570	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
571	#548	—	2	1	no	—
572	#548	C₂²×C₁₃	1	2	yes	—
573	#547	—	2	2	no	—
574	#547	C₂²×C₁₃	1	1	yes	characteristic
575	#547	C₂²×C₁₃	1	1	yes	characteristic
576	#547	C₂²×C₁₃	1	2	yes	—
577	#546	C₂²×C₁₃	1	2	yes	—
578	#542	—	2	2	no	—
579	#542	C₂²×C₁₃	1	2	yes	—
580	#542	C₂²×C₁₃	1	2	yes	complemented
581	#539	—	2	2	no	—
582	#533	C₂²×C₁₃	1	1	yes	characteristic
583	#532	—	2	1	no	—
584	#532	C₂²×C₁₃	1	1	yes	characteristic
585	#529	—	2	1	no	—
586	#529	C₂²×C₁₃	1	1	yes	characteristic
587	#525	—	2	1	no	—
588	C₂×C₂²⋊Q₈	—	2	1	no	—
589	#520	C₂²×C₁₃	1	2	yes	—
590	#520	C₂²×C₁₃	1	2	yes	complemented
591	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
592	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
593	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	#498	C₂²×C₁₃	1	2	yes	complemented
595	#495	C₂²×C₁₃	1	2	yes	—
596	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#489	C₂²×C₁₃	1	2	yes	—
598	#489	C₂²×C₁₃	1	2	yes	complemented
599	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	#483	C₂²×C₁₃	1	2	yes	—
602	#483	C₂²×C₁₃	1	2	yes	complemented
603	#483	C₂²×C₁₃	1	2	yes	complemented
604	#481	C₂²×C₁₃	1	2	yes	—
605	#481	C₂²×C₁₃	1	2	yes	—
606	#481	C₂²×C₁₃	1	2	yes	complemented
607	#476	C₂²×C₁₃	1	1	yes	characteristic
608	#476	C₂²×C₁₃	1	1	yes	characteristic
609	#476	C₂²×C₁₃	1	2	yes	—
610	#476	C₂²×C₁₃	1	2	yes	complemented
611	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
613	#475	C₂²×C₁₃	1	2	yes	complemented
614	#475	C₂²×C₁₃	1	2	yes	complemented
615	#470	C₂²×C₁₃	1	2	yes	complemented
616	#469	C₂²×C₁₃	1	2	yes	—
617	#465	C₂²×C₁₃	1	2	yes	—
618	#465	C₂²×C₁₃	1	2	yes	—
619	#465	C₂²×C₁₃	1	2	yes	—
620	#465	C₂²×C₁₃	1	2	yes	complemented
621	#464	C₂²×C₁₃	1	2	yes	—
622	#464	C₂²×C₁₃	1	2	yes	complemented
623	#463	C₂²×C₁₃	1	2	yes	—
624	#463	C₂²×C₁₃	1	2	yes	—
625	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
626	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#459	C₂²×C₁₃	1	1	yes	characteristic
628	#459	C₂²×C₁₃	1	1	yes	characteristic
629	#452	C₂²×C₁₃	1	2	yes	—
630	#452	C₂²×C₁₃	1	2	yes	complemented
631	#451	C₂²×C₁₃	1	2	yes	—
632	#449	C₂²×C₁₃	1	2	yes	—
633	#449	C₂²×C₁₃	1	2	yes	—
634	#447	C₂²×C₁₃	1	2	yes	—
635	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
636	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#442	C₂²×C₁₃	1	2	yes	—
638	#442	C₂²×C₁₃	1	2	yes	—
639	#442	C₂²×C₁₃	1	2	yes	—
640	#441	C₂²×C₁₃	1	2	yes	complemented
641	#441	C₂²×C₁₃	1	2	yes	complemented
642	#441	C₂²×C₁₃	1	2	yes	complemented
643	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
644	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
645	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
646	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
647	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
648	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
649	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
650	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
651	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
652	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
653	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
654	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
655	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#435	C₂²×C₁₃	1	2	yes	—
657	C₈×D₄	C₂²×C₁₃	1	2	yes	—
658	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	#433	C₂²×C₁₃	1	2	yes	complemented
660	#432	C₂²×C₁₃	1	1	yes	characteristic
661	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
662	C₂×#106	C₂²×C₁₃	1	2	yes	complemented
663	#417	C₂²×C₁₃	1	2	yes	—
664	#417	C₂²×C₁₃	1	2	yes	complemented
665	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
666	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
667	#405	C₂²×C₁₃	1	2	yes	complemented
668	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
669	C₂²×C₁₃	—	2	1	no	—
670	C₂²×C₁₃	—	2	1	no	—
671	C₂²×C₁₃	—	2	2	no	—
672	C₂²×C₁₃	—	2	2	no	—
673	C₂²×C₁₃	—	2	2	no	—
674	C₂²×C₁₃	—	2	2	no	—
675	C₂²×C₁₃	—	4	1	no	—
676	C₂²×C₁₃	—	4	1	no	—
677	C₂²×C₁₃	—	4	2	no	—
678	C₂²×C₁₃	—	4	1	no	—
679	C₂²×C₁₃	—	4	1	no	—
680	C₂²×C₁₃	—	4	2	no	—
681	C₂²×C₁₃	—	4	2	no	—
682	C₂²×C₁₃	—	4	1	no	—
683	C₂²×C₁₃	—	8	4	no	—
684	C₂²×C₁₃	#577	1	2	yes	—
685	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
686	C₄×C₁₃	—	2	2	no	—
687	C₄×C₁₃	—	2	1	no	—
688	C₄×C₁₃	—	2	2	no	—
689	C₄×C₁₃	—	2	1	no	—
690	C₄×C₁₃	—	2	1	no	—
691	C₄×C₁₃	—	2	1	no	—
692	C₄×C₁₃	—	2	2	no	—
693	C₄×C₁₃	—	2	2	no	—
694	C₄×C₁₃	—	4	2	no	—
695	C₄×C₁₃	—	4	1	no	—
696	C₄×C₁₃	—	4	1	no	—
697	C₄×C₁₃	—	4	1	no	—
698	C₄×C₁₃	—	4	1	no	—
699	C₄×C₁₃	—	4	1	no	—
700	C₄×C₁₃	—	4	2	no	—
701	C₄×C₁₃	—	4	2	no	—
702	C₄×C₁₃	#577	1	2	yes	—
703	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
704	C₄×C₁₃	#585	1	1	yes	characteristic
705	C₂×#41	—	2	1	no	—
706	C₂×#41	—	2	2	no	—
707	C₂×#41	—	2	1	no	—
708	C₂×#41	C₂³×C₁₃	1	2	yes	—
709	C₂×#41	C₂³×C₁₃	1	2	yes	—
710	C₂²×Q₈	—	2	1	no	—
711	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
712	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
713	C₂³×C₄	—	2	1	no	—
714	#135	—	2	8	no	—
715	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
716	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
717	C₂×SD₁₆	—	2	4	no	—
718	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
719	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
720	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
722	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
723	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
724	C₂×D₈	C₂³×C₁₃	1	2	yes	—
725	C₂×D₈	C₂³×C₁₃	1	2	yes	—
726	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
727	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
728	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
729	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
730	C₄⋊Q₈	—	2	1	no	—
731	C₄⋊Q₈	—	2	2	no	—
732	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
733	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
734	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
735	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
736	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
737	#127	—	2	1	no	—
738	#127	C₂³×C₁₃	1	1	yes	characteristic
739	#126	—	2	2	no	—
740	#126	—	2	2	no	—
741	#126	—	2	2	no	—
742	#126	D₄×C₁₃	1	2	yes	—
743	#125	—	2	1	no	—
744	#125	—	2	2	no	—
745	#125	—	2	1	no	—
746	#125	D₄×C₁₃	1	1	yes	characteristic
747	#124	—	2	1	no	—
748	#124	—	2	2	no	—
749	#124	—	2	2	no	—
750	#124	—	2	2	no	—
751	#124	—	2	1	no	—
752	#124	D₄×C₁₃	1	1	yes	characteristic
753	#124	C₂³×C₁₃	1	2	yes	—
754	#124	C₂³×C₁₃	1	2	yes	—
755	#123	—	2	2	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	D₄×C₁₃	1	2	yes	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	1	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	—	2	1	no	—
768	C₂²⋊Q₈	—	2	1	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	—	2	2	no	—
775	C₂²⋊Q₈	—	2	2	no	—
776	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
777	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
778	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
779	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
780	#121	—	2	1	no	—
781	#121	—	2	2	no	—
782	#121	—	2	1	no	—
783	#121	—	2	2	no	—
784	#121	—	2	2	no	—
785	#121	D₄×C₁₃	1	1	yes	characteristic
786	#121	C₂³×C₁₃	1	2	yes	—
787	#121	C₂³×C₁₃	1	2	yes	—
788	#121	C₂³×C₁₃	1	2	yes	—
789	#120	—	2	2	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
795	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
798	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
799	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
800	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
801	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	2	no	—
808	C₄×D₄	—	2	2	no	—
809	C₄×D₄	—	2	2	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
815	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
816	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
817	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
818	C₄×D₄	C₂³×C₁₃	1	2	yes	—
819	C₄×D₄	C₂³×C₁₃	1	2	yes	—
820	C₄×D₄	C₂³×C₁₃	1	2	yes	—
821	C₄×D₄	C₂³×C₁₃	1	2	yes	—
822	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
823	#117	—	2	1	no	—
824	#117	—	2	2	no	—
825	#117	—	2	2	no	—
826	#117	—	2	1	no	—
827	#117	C₂³×C₁₃	1	2	yes	—
828	C₂×C₄⋊C₄	—	2	1	no	—
829	C₂×C₄⋊C₄	—	2	2	no	—
830	C₂×C₄⋊C₄	—	2	2	no	—
831	C₂×C₄⋊C₄	—	2	1	no	—
832	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
835	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
836	C₂×C₂²⋊C₄	—	2	1	no	—
837	C₂×C₂²⋊C₄	—	2	2	no	—
838	C₂×C₄²	—	2	1	no	—
839	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
840	#106	C₂³×C₁₃	1	1	yes	characteristic
841	#106	C₂³×C₁₃	1	1	yes	characteristic
842	#106	C₂³×C₁₃	1	1	yes	characteristic
843	#106	C₂³×C₁₃	1	1	yes	characteristic
844	#106	C₂³×C₁₃	1	2	yes	—
845	#106	C₂³×C₁₃	1	2	yes	—
846	#106	C₂³×C₁₃	1	2	yes	—
847	#106	C₂³×C₁₃	1	2	yes	—
848	#106	C₂³×C₁₃	1	2	yes	—
849	#106	C₂³×C₁₃	1	2	yes	—
850	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
851	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
853	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
854	#103	C₂³×C₁₃	1	1	yes	characteristic
855	#103	C₂³×C₁₃	1	1	yes	characteristic
856	#103	C₂³×C₁₃	1	1	yes	characteristic
857	#103	C₂³×C₁₃	1	1	yes	characteristic
858	#103	C₂³×C₁₃	1	2	yes	—
859	#103	C₂³×C₁₃	1	2	yes	—
860	#103	C₂³×C₁₃	1	2	yes	—
861	#103	C₂³×C₁₃	1	2	yes	—
862	#103	C₂³×C₁₃	1	2	yes	—
863	#103	C₂³×C₁₃	1	2	yes	—
864	#102	C₂³×C₁₃	1	1	yes	characteristic
865	#102	C₂³×C₁₃	1	1	yes	characteristic
866	#102	C₂³×C₁₃	1	1	yes	characteristic
867	#102	C₂³×C₁₃	1	1	yes	characteristic
868	#102	C₂³×C₁₃	1	2	yes	—
869	#102	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	2	yes	—
871	#102	C₂³×C₁₃	1	2	yes	—
872	#102	C₂³×C₁₃	1	2	yes	—
873	#102	C₂³×C₁₃	1	2	yes	—
874	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
875	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
876	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
877	#97	C₂³×C₁₃	1	2	yes	—
878	#97	C₂³×C₁₃	1	2	yes	—
879	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
880	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
881	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
882	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
883	C₄×C₈	C₂³×C₁₃	1	2	yes	—
884	C₂×C₁₃	—	2	2	no	—
885	C₂×C₁₃	—	4	2	no	—
886	C₂×C₁₃	—	4	2	no	—
887	C₂×C₁₃	—	8	2	no	—
888	C₂×C₁₃	—	8	1	no	—
889	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
890	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
891	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
892	C₂⁴	—	2	1	no	—
893	#41	—	2	4	no	—
894	#41	—	2	4	no	—
895	#41	—	4	2	no	—
896	#41	—	4	2	no	—
897	#41	—	8	2	no	—
898	#41	—	8	4	no	—
899	#41	—	8	2	no	—
900	C₂×Q₈	—	2	1	no	—
901	C₂×Q₈	—	2	1	no	—
902	C₂×Q₈	—	2	2	no	—
903	C₂×Q₈	—	2	2	no	—
904	C₂×Q₈	—	2	1	no	—
905	C₂×Q₈	—	2	2	no	—
906	C₂×Q₈	—	4	1	no	—
907	C₂×Q₈	—	8	2	no	—
908	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
909	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
910	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
911	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	1	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	1	no	—
921	C₂×D₄	—	4	1	no	—
922	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
923	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
924	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
925	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
926	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	1	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	8	2	no	—
942	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
943	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
944	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
946	Q₁₆	—	2	4	no	—
947	Q₁₆	—	4	2	no	—
948	SD₁₆	—	2	2	no	—
949	SD₁₆	—	2	2	no	—
950	SD₁₆	—	2	2	no	—
951	SD₁₆	—	2	4	no	—
952	SD₁₆	—	4	2	no	—
953	SD₁₆	C₁₃×#41	1	4	yes	complemented
954	D₈	—	2	4	no	—
955	D₈	—	4	2	no	—
956	M₁₆	—	4	2	no	—
957	C₂×C₈	—	2	2	no	—
958	C₂×C₈	—	2	4	no	—
959	C₂×C₈	—	4	1	no	—
960	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
961	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
964	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
965	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
987	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
988	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
989	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
990	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
991	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
992	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
993	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
994	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
995	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
996	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
997	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	1	no	—
1004	C₂²⋊C₄	—	2	1	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1016	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1017	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1018	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1019	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1020	C₄²	—	2	1	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	1	no	—
1023	C₄²	—	2	1	no	—
1024	C₄²	—	2	2	no	—
1025	C₄²	—	2	2	no	—
1026	C₄²	—	2	2	no	—
1027	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1028	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1029	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1030	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1031	C₄²	C₂⁴×C₁₃	1	2	yes	—
1032	C₁₃	#61483	1	1	yes	characteristic, direct product factor, Sylow
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	1	no	—
1035	C₂³	—	2	2	no	—
1036	C₂³	—	4	2	no	—
1037	C₂³	—	4	2	no	—
1038	C₂³	—	8	1	no	—
1039	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1040	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1041	Q₈	—	2	2	no	—
1042	Q₈	—	2	1	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	2	2	no	—
1045	Q₈	—	2	2	no	—
1046	Q₈	—	2	1	no	—
1047	Q₈	—	4	2	no	—
1048	Q₈	—	4	2	no	—
1049	Q₈	—	8	2	no	—
1050	Q₈	—	8	1	no	—
1051	Q₈	—	8	2	no	—
1052	Q₈	C₂×C₁₃×#41	1	2	yes	—
1053	D₄	—	2	4	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	2	1	no	—
1057	D₄	—	2	1	no	—
1058	D₄	—	2	1	no	—
1059	D₄	—	2	2	no	—
1060	D₄	—	4	2	no	—
1061	D₄	—	4	4	no	—
1062	D₄	—	4	4	no	—
1063	D₄	—	4	4	no	—
1064	D₄	—	4	2	no	—
1065	D₄	—	8	1	no	—
1066	D₄	—	8	2	no	—
1067	D₄	—	8	2	no	—
1068	D₄	C₂×C₁₃×#41	1	2	yes	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	4	4	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	4	no	—
1087	C₂×C₄	—	4	2	no	—
1088	C₂×C₄	—	4	2	no	—
1089	C₂×C₄	—	4	2	no	—
1090	C₂×C₄	—	8	1	no	—
1091	C₂×C₄	—	8	1	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	—	8	2	no	—
1094	C₂×C₄	—	8	2	no	—
1095	C₂×C₄	—	8	1	no	—
1096	C₂×C₄	—	8	2	no	—
1097	C₂×C₄	—	8	2	no	—
1098	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1099	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1100	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1101	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1102	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1103	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1104	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1105	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1106	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1107	C₈	—	2	2	no	—
1108	C₈	—	2	1	no	—
1109	C₈	—	2	1	no	—
1110	C₈	—	2	1	no	—
1111	C₈	—	2	2	no	—
1112	C₈	C₂×C₁₃×#41	1	2	yes	—
1113	C₂²	—	2	1	no	—
1114	C₂²	—	2	1	no	—
1115	C₂²	—	2	2	no	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	—	4	1	no	—
1121	C₂²	—	4	1	no	—
1122	C₂²	—	4	2	no	—
1123	C₂²	—	4	2	no	—
1124	C₂²	—	4	1	no	—
1125	C₂²	—	4	2	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	8	4	no	—
1128	C₂²	C₁₃×#577	1	2	yes	—
1129	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1130	C₄	—	2	1	no	—
1131	C₄	—	2	1	no	—
1132	C₄	—	2	1	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	2	no	—
1135	C₄	—	2	2	no	—
1136	C₄	—	2	1	no	—
1137	C₄	—	2	2	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	2	no	—
1143	C₄	—	4	2	no	—
1144	C₄	—	4	2	no	—
1145	C₄	—	4	1	no	—
1146	C₄	C₁₃×#577	1	2	yes	—
1147	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1148	C₄	C₁₃×#585	1	1	yes	characteristic
1149	C₂	—	2	2	no	—
1150	C₂	—	4	2	no	—
1151	C₂	—	4	2	no	—
1152	C₂	—	8	1	no	—
1153	C₂	—	8	2	no	—
1154	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1155	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1156	C₂	C₂×C₁₃×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3522	C₂	semidirect
2. C₁₃×#3520	C₂	semidirect
3. C₁₃×#3394	C₂	semidirect
4. Q₈×C₁₃×SD₁₆	C₂	semidirect
5. C₁₃×#3373	C₂	semidirect
6. C₁₃×#3369	C₂	semidirect
7. C₁₃×#3335	C₂	semidirect
8. C₁₃×#3335	C₂	semidirect
9. C₁₃×#3332	C₂	semidirect
10. C₁₃×#3331	C₂	semidirect
11. C₁₃×#3316	C₂	semidirect
12. C₁₃×#3306	C₂	semidirect
13. C₁₃×#3284	C₂	semidirect
14. C₁₃×#3282	C₂	semidirect
15. C₁₃×#3173	C₂	semidirect
16. C₁₃×#3167	C₂	semidirect
17. C₁₃×#3125	C₂	semidirect
18. C₁₃×#3125	C₂	semidirect
19. C₁₃×#3113	C₂	semidirect
20. C₁₃×#3109	C₂	semidirect
21. C₁₃×#2966	C₂	semidirect
22. C₁₃×#2952	C₂	semidirect
23. C₂×C₄×C₁₃×SD₁₆	C₂	semidirect
27. C₁₃×#559	C₂²	semidirect
28. Q₈²×C₁₃	C₂²	semidirect
32. C₁₃×#554	C₂²	semidirect
35. C₁₃×#550	C₂²	semidirect
46. C₁₃×#542	C₂²	semidirect
56. C₁₃×#520	C₂²	semidirect
59. C₁₃×#498	C₂²	semidirect
60. C₁₃×#498	C₂²	semidirect
62. C₁₃×#492	C₂²	semidirect
64. C₁₃×#489	C₂²	semidirect
65. C₁₃×#487	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
68. C₁₃×#483	C₂²	semidirect
69. C₁₃×#483	C₂²	semidirect
72. C₁₃×#481	C₂²	semidirect
76. C₁₃×#476	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
78. C₁₃×#475	C₂²	semidirect
79. C₁₃×#475	C₂²	semidirect
80. C₁₃×#475	C₂²	semidirect
81. C₁₃×#470	C₂²	semidirect
86. C₁₃×#465	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
91. C₁₃×#462	C₂²	semidirect
92. C₁₃×#462	C₂²	semidirect
96. C₁₃×#452	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₈×Q₈×C₁₃	C₂²	semidirect
106. C₁₃×#441	C₂²	semidirect
107. C₁₃×#441	C₂²	semidirect
108. C₁₃×#441	C₂²	semidirect
118. C₄×C₁₃×SD₁₆	C₂²	semidirect
119. C₄×C₁₃×SD₁₆	C₂²	semidirect
120. C₄×C₁₃×SD₁₆	C₂²	semidirect
121. C₁₃×#436	C₂²	semidirect
124. C₈×D₄×C₁₃	C₂²	semidirect
125. C₁₃×#433	C₂²	semidirect
128. C₂×C₁₃×#106	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
133. C₁₃×#405	C₂²	semidirect
314. #61483	C₁₃	direct (N × H)
376. C₁₃×SD₁₆	#41	semidirect
455. #3522	C₂×C₁₃	semidirect
456. #3520	C₂×C₁₃	semidirect
457. #3394	C₂×C₁₃	semidirect
458. Q₈×SD₁₆	C₂×C₁₃	semidirect
459. #3373	C₂×C₁₃	semidirect
460. #3369	C₂×C₁₃	semidirect
461. #3335	C₂×C₁₃	semidirect
462. #3335	C₂×C₁₃	semidirect
463. #3332	C₂×C₁₃	semidirect
464. #3331	C₂×C₁₃	semidirect
465. #3316	C₂×C₁₃	semidirect
466. #3306	C₂×C₁₃	semidirect
467. #3284	C₂×C₁₃	semidirect
468. #3282	C₂×C₁₃	semidirect
469. #3173	C₂×C₁₃	semidirect
470. #3167	C₂×C₁₃	semidirect
471. #3125	C₂×C₁₃	semidirect
472. #3125	C₂×C₁₃	semidirect
473. #3113	C₂×C₁₃	semidirect
474. #3109	C₂×C₁₃	semidirect
475. #2966	C₂×C₁₃	semidirect
476. #2952	C₂×C₁₃	semidirect
477. C₂×C₄×SD₁₆	C₂×C₁₃	semidirect
561. #559	C₂²×C₁₃	semidirect
562. Q₈²	C₂²×C₁₃	semidirect
566. #554	C₂²×C₁₃	semidirect
569. #550	C₂²×C₁₃	semidirect
580. #542	C₂²×C₁₃	semidirect
590. #520	C₂²×C₁₃	semidirect
593. #498	C₂²×C₁₃	semidirect
594. #498	C₂²×C₁₃	semidirect
596. #492	C₂²×C₁₃	semidirect
598. #489	C₂²×C₁₃	semidirect
599. #487	C₂²×C₁₃	semidirect
600. #486	C₂²×C₁₃	semidirect
602. #483	C₂²×C₁₃	semidirect
603. #483	C₂²×C₁₃	semidirect
606. #481	C₂²×C₁₃	semidirect
610. #476	C₂²×C₁₃	semidirect
611. #475	C₂²×C₁₃	semidirect
612. #475	C₂²×C₁₃	semidirect
613. #475	C₂²×C₁₃	semidirect
614. #475	C₂²×C₁₃	semidirect
615. #470	C₂²×C₁₃	semidirect
620. #465	C₂²×C₁₃	semidirect
622. #464	C₂²×C₁₃	semidirect
625. #462	C₂²×C₁₃	semidirect
626. #462	C₂²×C₁₃	semidirect
630. #452	C₂²×C₁₃	semidirect
635. #446	C₂²×C₁₃	semidirect
636. C₈×Q₈	C₂²×C₁₃	semidirect
640. #441	C₂²×C₁₃	semidirect
641. #441	C₂²×C₁₃	semidirect
642. #441	C₂²×C₁₃	semidirect
652. C₄×SD₁₆	C₂²×C₁₃	semidirect
653. C₄×SD₁₆	C₂²×C₁₃	semidirect
654. C₄×SD₁₆	C₂²×C₁₃	semidirect
655. #436	C₂²×C₁₃	semidirect
658. C₈×D₄	C₂²×C₁₃	semidirect
659. #433	C₂²×C₁₃	semidirect
662. C₂×#106	C₂²×C₁₃	semidirect
664. #417	C₂²×C₁₃	semidirect
667. #405	C₂²×C₁₃	semidirect
953. SD₁₆	C₁₃×#41	semidirect
1032. C₁₃	#61483	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×#3522	2
C₁₃×#3520	2
C₁₃×#3394	2
Q₈×C₁₃×SD₁₆	2
C₁₃×#3373	2
C₁₃×#3369	2
C₁₃×#3335	2
C₁₃×#3332	2
C₁₃×#3331	2
C₁₃×#3316	2
C₁₃×#3306	2
C₁₃×#3284	2
C₁₃×#3282	2
C₁₃×#3173	2
C₁₃×#3167	2
C₁₃×#3125	2
C₁₃×#3113	2
C₁₃×#3109	2
C₁₃×#2966	2
C₁₃×#2952	2
C₂×C₄×C₁₃×SD₁₆	2
#61483	13

Subgroups — C13×#61483 #15747822

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61483 #15747822