Subgroups — D₁₃×#3490 #16770824

Order 3328.

9502 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128526	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128525	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128524	C₂	1	1	yes	maximal, characteristic, complemented
4	#13128523	C₂	1	2	yes	maximal, complemented
5	#13128522	C₂	1	4	yes	maximal, complemented
6	#13128521	C₂	1	2	yes	maximal, complemented
7	#13128520	C₂	1	8	yes	maximal, complemented
8	#13128519	C₂	1	4	yes	maximal, complemented
9	#13128518	C₂	1	8	yes	maximal, complemented
10	D₁₃×#551	C₂	1	8	yes	maximal, complemented
11	D₁₃×#546	C₂	1	8	yes	maximal, complemented
12	D₁₃×#543	C₂	1	1	yes	maximal, characteristic, complemented
13	D₁₃×#538	C₂	1	4	yes	maximal, complemented
14	D₁₃×#534	C₂	1	1	yes	maximal, characteristic, complemented
15	D₁₃×#525	C₂	1	4	yes	maximal, complemented
16	C₂×D₁₃×#120	C₂	1	2	yes	maximal, complemented
17	D₁₃×#518	C₂	1	2	yes	maximal, complemented
18	C₂²×C₂²⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3490	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂⁵×D₁₃	C₂²	1	1	yes	characteristic
21	C₂×#41×D₁₃	C₂²	1	4	yes	complemented
22	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
23	C₂²×D₄×D₁₃	C₂²	1	4	yes	complemented
24	C₂³×C₄×D₁₃	C₂²	1	2	yes	complemented
25	C₁₃×#551	C₂²	1	8	yes	complemented
26	C₁₃×#546	C₂²	1	8	yes	complemented
27	C₁₃×#543	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#538	C₂²	1	4	yes	complemented
29	C₁₃×#534	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#525	C₂²	1	4	yes	complemented
31	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
32	C₁₃×#518	C₂²	1	2	yes	complemented
33	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
34	C₂×#88207	C₂²	1	2	yes	complemented
35	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
36	#11719534	C₂²	1	8	yes	complemented
37	#11719533	C₂²	1	4	yes	complemented
38	#11719511	C₂²	1	8	yes	complemented
39	#11719509	C₂²	1	2	yes	complemented
40	C₂×#88191	C₂²	1	4	yes	complemented
41	C₂×#88191	C₂²	1	2	yes	complemented
42	#11719503	C₂²	1	2	yes	complemented
43	#11719496	C₂²	1	4	yes	complemented
44	C₂²×#6103	C₂²	1	2	yes	complemented
45	#11719410	C₂²	1	8	yes	complemented
46	#11719410	C₂²	1	8	yes	complemented
47	#11719409	C₂²	1	8	yes	complemented
48	D₁₃×#126	C₂²	1	8	yes	complemented
49	#11719384	C₂²	1	8	yes	complemented
50	#11719383	C₂²	1	8	yes	complemented
51	#11719381	C₂²	1	8	yes	complemented
52	D₁₃×#124	C₂²	1	8	yes	complemented
53	#11719364	C₂²	1	8	yes	complemented
54	#11719363	C₂²	1	8	yes	complemented
55	#11719363	C₂²	1	8	yes	complemented
56	#11719362	C₂²	1	8	yes	complemented
57	#11719361	C₂²	1	8	yes	complemented
58	#11719359	C₂²	1	8	yes	complemented
59	#11719359	C₂²	1	8	yes	complemented
60	#11719358	C₂²	1	4	yes	complemented
61	D₁₃×#123	C₂²	1	8	yes	complemented
62	D₁₃×#123	C₂²	1	8	yes	complemented
63	D₁₃×#123	C₂²	1	4	yes	complemented
64	#11719349	C₂²	1	4	yes	complemented
65	#11719342	C₂²	1	8	yes	complemented
66	#11719342	C₂²	1	8	yes	complemented
67	#11719339	C₂²	1	8	yes	complemented
68	#11719339	C₂²	1	4	yes	complemented
69	#11719335	C₂²	1	8	yes	complemented
70	#11719332	C₂²	1	4	yes	complemented
71	#11719332	C₂²	1	4	yes	complemented
72	D₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
73	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
74	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
75	#11719322	C₂²	1	4	yes	complemented
76	#11719318	C₂²	1	8	yes	complemented
77	#11719317	C₂²	1	8	yes	complemented
78	#11719315	C₂²	1	8	yes	complemented
79	#11719315	C₂²	1	8	yes	complemented
80	#11719311	C₂²	1	4	yes	complemented
81	#11719311	C₂²	1	4	yes	complemented
82	#11719310	C₂²	1	4	yes	complemented
83	D₁₃×#121	C₂²	1	8	yes	complemented
84	D₁₃×#121	C₂²	1	4	yes	complemented
85	D₁₃×#121	C₂²	1	4	yes	complemented
86	#11719298	C₂²	1	8	yes	complemented
87	#11719296	C₂²	1	8	yes	complemented
88	#11719296	C₂²	1	8	yes	complemented
89	#11719294	C₂²	1	4	yes	complemented
90	D₁₃×#120	C₂²	1	8	yes	—
91	D₁₃×#120	C₂²	1	4	yes	complemented
92	D₁₃×#120	C₂²	1	4	yes	complemented
93	D₁₃×#120	C₂²	1	4	yes	complemented
94	D₁₃×#120	C₂²	1	4	yes	complemented
95	D₁₃×#120	C₂²	1	8	yes	complemented
96	D₁₃×#120	C₂²	1	4	yes	complemented
97	#11719292	C₂²	1	8	yes	complemented
98	#11719291	C₂²	1	8	yes	complemented
99	#11719265	C₂²	1	8	yes	complemented
100	#11719261	C₂²	1	8	yes	complemented
101	#11719261	C₂²	1	8	yes	complemented
102	#11719259	C₂²	1	8	yes	complemented
103	#11719255	C₂²	1	8	yes	complemented
104	#11719252	C₂²	1	8	yes	complemented
105	#11719252	C₂²	1	8	yes	complemented
106	#11719250	C₂²	1	8	yes	complemented
107	#11719250	C₂²	1	8	yes	complemented
108	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
109	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
110	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
111	#11719232	C₂²	1	8	yes	complemented
112	#11719232	C₂²	1	8	yes	complemented
113	#11719229	C₂²	1	4	yes	complemented
114	#11719226	C₂²	1	4	yes	complemented
115	D₁₃×#117	C₂²	1	4	yes	complemented
116	D₁₃×#117	C₂²	1	4	yes	complemented
117	#11719200	C₂²	1	8	yes	complemented
118	#11719200	C₂²	1	8	yes	complemented
119	#11719199	C₂²	1	4	yes	complemented
120	#11719198	C₂²	1	1	yes	characteristic, complemented
121	#11719195	C₂²	1	8	yes	complemented
122	#11719195	C₂²	1	8	yes	complemented
123	C₂×#88136	C₂²	1	4	yes	complemented
124	C₂×#88136	C₂²	1	2	yes	complemented
125	#11719191	C₂²	1	4	yes	complemented
126	#11719191	C₂²	1	2	yes	complemented
127	#11719191	C₂²	1	2	yes	complemented
128	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
129	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
130	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
131	C₂×C₂²⋊C₄×D₁₃	C₂²	1	8	yes	complemented
132	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	complemented
134	C₂×C₂²⋊C₄×D₁₃	C₂²	1	8	yes	complemented
135	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	complemented
136	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
137	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
139	#11719188	C₂²	1	2	yes	complemented
140	#11719188	C₂²	1	1	yes	characteristic, complemented
141	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
142	C₂⁴×D₁₃	—	2	8	no	—
143	C₂⁴×D₁₃	—	4	8	no	—
144	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
145	C₂⁴×D₁₃	C₂³	1	4	yes	—
146	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
147	C₂⁴×D₁₃	C₂³	1	4	yes	—
148	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
149	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
150	C₂⁴×D₁₃	C₂³	1	2	yes	—
151	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
152	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×#41	C₂³	1	4	yes	complemented
154	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
155	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
156	C₂³×C₄×C₁₃	C₂³	1	2	yes	complemented
157	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
160	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
161	C₂³×Dic₁₃	C₂³	1	2	yes	complemented
162	#41×D₁₃	—	4	16	no	—
163	C₂×#6131	C₂³	1	4	yes	complemented
164	C₂×Q₈×D₁₃	C₂³	1	4	yes	complemented
165	C₂×#6129	C₂³	1	4	yes	complemented
166	C₂×#6129	C₂³	1	8	yes	complemented
167	C₂×D₄×D₁₃	—	2	16	no	—
168	C₂×D₄×D₁₃	—	4	16	no	—
169	C₂×D₄×D₁₃	C₂³	1	4	yes	—
170	C₂×D₄×D₁₃	C₂³	1	4	yes	—
171	C₂×D₄×D₁₃	C₂³	1	8	yes	—
172	C₂×D₄×D₁₃	C₂³	1	4	yes	—
173	C₂×D₄×D₁₃	C₂³	1	4	yes	—
174	C₂×D₄×D₁₃	C₂³	1	8	yes	—
175	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
176	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
177	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
178	C₂×#6127	C₂³	1	8	yes	complemented
179	C₂×#6127	C₂³	1	4	yes	complemented
180	C₂²×D₅₂	C₂³	1	2	yes	—
181	C₂²×D₅₂	C₂³	1	4	yes	complemented
182	C₂²×C₄×D₁₃	—	4	8	no	—
183	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
184	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
185	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
186	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
187	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
188	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
189	C₂²×C₄×D₁₃	C₂³	1	4	yes	complemented
190	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
191	C₂²×C₄×D₁₃	C₂³	1	4	yes	complemented
192	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
193	C₂²×C₄×D₁₃	C₂³	1	8	yes	complemented
194	C₁₃×#126	C₂³	1	8	yes	complemented
195	C₁₃×#124	C₂³	1	8	yes	complemented
196	C₁₃×#123	C₂³	1	8	yes	complemented
197	C₁₃×#123	C₂³	1	8	yes	complemented
198	C₁₃×#123	C₂³	1	4	yes	complemented
199	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
200	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
201	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
202	C₁₃×#121	C₂³	1	8	yes	complemented
203	C₁₃×#121	C₂³	1	4	yes	complemented
204	C₁₃×#121	C₂³	1	4	yes	complemented
205	C₁₃×#120	C₂³	1	8	yes	—
206	C₁₃×#120	C₂³	1	4	yes	complemented
207	C₁₃×#120	C₂³	1	4	yes	complemented
208	C₁₃×#120	C₂³	1	4	yes	complemented
209	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
210	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
211	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
212	C₁₃×#117	C₂³	1	4	yes	complemented
213	C₁₃×#117	C₂³	1	4	yes	complemented
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
221	#88207	C₂³	1	8	yes	—
222	#88207	C₂³	1	4	yes	complemented
223	#88207	C₂³	1	4	yes	complemented
224	#88207	C₂³	1	4	yes	complemented
225	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
227	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₁₃	C₂³	1	8	yes	complemented
229	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	complemented
230	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	complemented
231	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	complemented
232	#88201	C₂³	1	8	yes	complemented
233	#88200	C₂³	1	4	yes	complemented
234	#88200	C₂³	1	4	yes	complemented
235	#88200	C₂³	1	8	yes	complemented
236	#88193	C₂³	1	8	yes	complemented
237	#88193	C₂³	1	8	yes	complemented
238	#88193	C₂³	1	8	yes	complemented
239	#88193	C₂³	1	8	yes	complemented
240	#88192	C₂³	1	8	yes	complemented
241	#88192	C₂³	1	4	yes	complemented
242	#88192	C₂³	1	4	yes	complemented
243	#88191	C₂³	1	8	yes	—
244	#88191	C₂³	1	8	yes	—
245	#88191	C₂³	1	8	yes	—
246	#88191	C₂³	1	4	yes	complemented
247	#88191	C₂³	1	8	yes	complemented
248	#88191	C₂³	1	4	yes	complemented
249	#88191	C₂³	1	8	yes	complemented
250	#88191	C₂³	1	8	yes	complemented
251	#88191	C₂³	1	4	yes	complemented
252	#88190	C₂³	1	8	yes	complemented
253	#88189	C₂³	1	8	yes	complemented
254	#88189	C₂³	1	4	yes	complemented
255	#88189	C₂³	1	8	yes	complemented
256	D₄×Dic₁₃	C₂³	1	8	yes	complemented
257	D₄×Dic₁₃	C₂³	1	8	yes	complemented
258	D₄×Dic₁₃	C₂³	1	8	yes	complemented
259	#88184	C₂³	1	8	yes	complemented
260	#88184	C₂³	1	4	yes	complemented
261	#88184	C₂³	1	4	yes	complemented
262	#88183	C₂³	1	8	yes	complemented
263	#88183	C₂³	1	8	yes	complemented
264	#88183	C₂³	1	4	yes	complemented
265	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
266	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
267	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
268	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
269	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
270	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
271	C₂×#6103	C₂³	1	2	yes	—
272	C₂×#6103	C₂³	1	2	yes	—
273	C₂×#6103	C₂³	1	4	yes	—
274	C₂×#6103	C₂³	1	8	yes	complemented
275	C₂×#6103	C₂³	1	8	yes	complemented
276	C₂×#6103	C₂³	1	2	yes	complemented
277	C₂×#6103	C₂³	1	2	yes	complemented
278	C₂×#6103	C₂³	1	4	yes	complemented
279	C₂×#6103	C₂³	1	4	yes	complemented
280	C₂×#6103	C₂³	1	8	yes	complemented
281	#88180	C₂³	1	4	yes	complemented
282	#88180	C₂³	1	4	yes	complemented
283	#88178	C₂³	1	4	yes	complemented
284	#88178	C₂³	1	8	yes	complemented
285	#88178	C₂³	1	4	yes	complemented
286	#88152	C₂³	1	8	yes	complemented
287	#88152	C₂³	1	8	yes	complemented
288	#88152	C₂³	1	8	yes	complemented
289	#88151	C₂³	1	4	yes	complemented
290	#88151	C₂³	1	4	yes	complemented
291	#88151	C₂³	1	8	yes	complemented
292	#88150	C₂³	1	8	yes	complemented
293	#88150	C₂³	1	8	yes	complemented
294	#88150	C₂³	1	8	yes	complemented
295	#88150	C₂³	1	8	yes	complemented
296	#88149	C₂³	1	8	yes	complemented
297	#88149	C₂³	1	4	yes	complemented
298	#88149	C₂³	1	4	yes	complemented
299	#88148	C₂³	1	8	yes	complemented
300	#88148	C₂³	1	8	yes	complemented
301	#88148	C₂³	1	8	yes	complemented
302	#88148	C₂³	1	8	yes	complemented
303	#88148	C₂³	1	8	yes	complemented
304	#88147	C₂³	1	8	yes	complemented
305	#88147	C₂³	1	8	yes	complemented
306	#88147	C₂³	1	8	yes	complemented
307	#88146	C₂³	1	8	yes	complemented
308	#88146	C₂³	1	4	yes	complemented
309	#88146	C₂³	1	4	yes	complemented
310	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
311	C₄⋊C₄×D₁₃	C₂³	1	4	yes	complemented
312	C₄⋊C₄×D₁₃	C₂³	1	4	yes	complemented
313	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
314	#88140	C₂³	1	8	yes	complemented
315	#88140	C₂³	1	4	yes	complemented
316	#88140	C₂³	1	8	yes	complemented
317	#88139	C₂³	1	8	yes	complemented
318	#88139	C₂³	1	8	yes	complemented
319	#88139	C₂³	1	8	yes	complemented
320	#88139	C₂³	1	8	yes	complemented
321	#88138	C₂³	1	8	yes	complemented
322	#88138	C₂³	1	8	yes	complemented
323	#88138	C₂³	1	8	yes	complemented
324	#88138	C₂³	1	8	yes	complemented
325	#88137	C₂³	1	8	yes	complemented
326	#88137	C₂³	1	8	yes	complemented
327	#88137	C₂³	1	8	yes	complemented
328	#88137	C₂³	1	8	yes	complemented
329	#88137	C₂³	1	8	yes	complemented
330	#88136	C₂³	1	8	yes	—
331	#88136	C₂³	1	8	yes	—
332	#88136	C₂³	1	8	yes	—
333	#88136	C₂³	1	8	yes	complemented
334	#88136	C₂³	1	4	yes	complemented
335	#88136	C₂³	1	4	yes	complemented
336	#88136	C₂³	1	8	yes	complemented
337	#88136	C₂³	1	8	yes	complemented
338	#88136	C₂³	1	4	yes	complemented
339	#88135	C₂³	1	8	yes	complemented
340	#88135	C₂³	1	8	yes	complemented
341	#88135	C₂³	1	8	yes	complemented
342	#88135	C₂³	1	8	yes	complemented
343	#88135	C₂³	1	8	yes	complemented
344	#88135	C₂³	1	8	yes	complemented
345	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
346	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
347	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
348	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
349	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
350	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
351	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
352	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
353	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
354	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
355	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
356	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
357	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
358	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
359	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
360	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
361	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
362	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
363	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
364	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	complemented
365	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	complemented
366	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
367	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
368	#88133	C₂³	1	8	yes	complemented
369	#88133	C₂³	1	8	yes	complemented
370	#88133	C₂³	1	8	yes	complemented
371	#88132	C₂³	1	8	yes	complemented
372	#88132	C₂³	1	8	yes	complemented
373	#88132	C₂³	1	8	yes	complemented
374	#88132	C₂³	1	8	yes	complemented
375	#88131	C₂³	1	4	yes	complemented
376	#88131	C₂³	1	4	yes	complemented
377	#88131	C₂³	1	8	yes	complemented
378	#88130	C₂³	1	8	yes	complemented
379	#88129	C₂³	1	8	yes	complemented
380	C₄×D₅₂	C₂³	1	8	yes	complemented
381	C₄×D₅₂	C₂³	1	8	yes	complemented
382	C₄×D₅₂	C₂³	1	8	yes	complemented
383	#88126	C₂³	1	8	yes	complemented
384	#88126	C₂³	1	8	yes	complemented
385	C₄²×D₁₃	C₂³	1	8	yes	complemented
386	C₂×#3490	—	13	1	no	maximal, Sylow
387	C₂⁴×C₁₃	—	2	4	no	—
388	C₂⁴×C₁₃	—	4	4	no	—
389	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
391	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
393	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂³×D₁₃	—	2	4	no	—
395	C₂³×D₁₃	—	2	8	no	—
396	C₂³×D₁₃	—	2	4	no	—
397	C₂³×D₁₃	—	2	16	no	—
398	C₂³×D₁₃	—	2	4	no	—
399	C₂³×D₁₃	—	2	4	no	—
400	C₂³×D₁₃	—	2	16	no	—
401	C₂³×D₁₃	—	2	4	no	—
402	C₂³×D₁₃	—	2	16	no	—
403	C₂³×D₁₃	—	2	8	no	—
404	C₂³×D₁₃	—	4	4	no	—
405	C₂³×D₁₃	—	4	8	no	—
406	C₂³×D₁₃	—	4	4	no	—
407	C₂³×D₁₃	—	4	8	no	—
408	C₂³×D₁₃	—	4	4	no	—
409	C₂³×D₁₃	—	4	4	no	—
410	C₂³×D₁₃	—	4	8	no	—
411	C₂³×D₁₃	—	4	8	no	—
412	C₂³×D₁₃	—	4	4	no	—
413	C₂³×D₁₃	—	4	64	no	—
414	C₂³×D₁₃	#41	1	8	yes	complemented
415	C₂³×D₁₃	C₂⁴	1	2	yes	—
416	C₂³×D₁₃	C₂⁴	1	4	yes	—
417	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
418	C₂³×D₁₃	C₂⁴	1	2	yes	—
419	C₂³×D₁₃	C₂⁴	1	4	yes	—
420	C₂³×D₁₃	C₂⁴	1	4	yes	—
421	C₂³×D₁₃	C₂⁴	1	4	yes	—
422	C₂³×D₁₃	C₂⁴	1	2	yes	—
423	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
424	C₂³×D₁₃	C₂⁴	1	2	yes	—
425	C₂³×D₁₃	C₂⁴	1	2	yes	—
426	C₂³×D₁₃	C₂⁴	1	2	yes	—
427	C₂³×D₁₃	C₂⁴	1	4	yes	—
428	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
429	C₂³×D₁₃	C₂⁴	1	2	yes	—
430	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
431	C₁₃×#41	—	4	8	no	—
432	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	complemented
433	C₂×D₄×C₁₃	—	2	8	no	—
434	C₂×D₄×C₁₃	—	4	8	no	—
435	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
436	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
437	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
438	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
439	C₂×D₄×C₁₃	C₂⁴	1	4	yes	complemented
440	C₂²×C₄×C₁₃	—	4	4	no	—
441	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
442	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
443	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
444	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
445	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
446	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
447	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	complemented
448	C₂×C₂²⋊D₁₃	—	2	8	no	—
449	C₂×C₂²⋊D₁₃	—	2	8	no	—
450	C₂×C₂²⋊D₁₃	—	4	8	no	—
451	C₂×C₂²⋊D₁₃	—	4	8	no	—
452	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
453	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
454	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
455	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
456	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
457	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
458	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
459	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
460	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	complemented
461	C₂²×Dic₁₃	—	4	4	no	—
462	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
463	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
464	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
465	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
466	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
467	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
468	C₂²×Dic₁₃	C₂⁴	1	8	yes	complemented
469	#6131	—	4	8	no	—
470	Q₈×D₁₃	—	4	8	no	—
471	#6129	—	4	8	no	—
472	#6129	—	4	16	no	—
473	D₄×D₁₃	—	2	16	no	—
474	D₄×D₁₃	—	2	16	no	—
475	D₄×D₁₃	—	2	16	no	—
476	D₄×D₁₃	—	2	16	no	—
477	D₄×D₁₃	—	2	32	no	—
478	D₄×D₁₃	—	4	16	no	—
479	D₄×D₁₃	—	4	8	no	—
480	D₄×D₁₃	—	4	16	no	—
481	D₄×D₁₃	—	4	16	no	—
482	#6127	—	4	16	no	—
483	#6127	—	4	8	no	—
484	C₂×D₅₂	—	2	8	no	—
485	C₂×D₅₂	—	4	8	no	—
486	C₂×D₅₂	C₂⁴	1	4	yes	—
487	C₂×D₅₂	C₂⁴	1	4	yes	—
488	C₂×D₅₂	C₂⁴	1	8	yes	—
489	C₂×D₅₂	C₂⁴	1	8	yes	—
490	C₂×D₅₂	C₂⁴	1	4	yes	complemented
491	C₂×C₄×D₁₃	—	2	8	no	—
492	C₂×C₄×D₁₃	—	2	16	no	—
493	C₂×C₄×D₁₃	—	4	4	no	—
494	C₂×C₄×D₁₃	—	4	8	no	—
495	C₂×C₄×D₁₃	—	4	4	no	—
496	C₂×C₄×D₁₃	—	4	4	no	—
497	C₂×C₄×D₁₃	—	4	8	no	—
498	C₂×C₄×D₁₃	—	4	4	no	—
499	C₂×C₄×D₁₃	—	4	8	no	—
500	C₂×C₄×D₁₃	—	4	16	no	—
501	C₂×C₄×D₁₃	—	4	8	no	—
502	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
503	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
504	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
505	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
506	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
507	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
508	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
509	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
510	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
511	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
512	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
513	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
514	C₂×C₄×D₁₃	C₂⁴	1	8	yes	complemented
515	C₂×C₄×D₁₃	C₂⁴	1	8	yes	complemented
516	C₂×Dic₂₆	C₂⁴	1	8	yes	complemented
517	C₂×Dic₂₆	C₂⁴	1	4	yes	complemented
518	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	complemented
519	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	complemented
520	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	complemented
521	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	complemented
522	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
523	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
524	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
525	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
526	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
527	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
528	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
529	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
530	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
531	C₄²×C₁₃	C₂⁴	1	8	yes	complemented
532	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
533	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
534	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
535	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
536	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
537	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
538	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
539	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	complemented
540	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	complemented
541	#6103	C₂⁴	1	8	yes	—
542	#6103	C₂⁴	1	8	yes	—
543	#6103	C₂⁴	1	8	yes	—
544	#6103	C₂⁴	1	8	yes	—
545	#6103	C₂⁴	1	8	yes	—
546	#6103	C₂⁴	1	8	yes	—
547	#6103	C₂⁴	1	8	yes	—
548	#6103	C₂⁴	1	8	yes	—
549	#6103	C₂⁴	1	8	yes	—
550	#6103	C₂⁴	1	8	yes	—
551	#6103	C₂⁴	1	8	yes	complemented
552	#6103	C₂⁴	1	8	yes	complemented
553	#6103	C₂⁴	1	8	yes	complemented
554	#6103	C₂⁴	1	8	yes	complemented
555	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
556	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
557	C₄⋊Dic₁₃	C₂⁴	1	4	yes	complemented
558	C₄⋊Dic₁₃	C₂⁴	1	4	yes	complemented
559	#6101	C₂⁴	1	8	yes	complemented
560	#6101	C₂⁴	1	8	yes	complemented
561	#6101	C₂⁴	1	8	yes	complemented
562	#6101	C₂⁴	1	8	yes	complemented
563	#6101	C₂⁴	1	8	yes	complemented
564	#6101	C₂⁴	1	8	yes	complemented
565	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
566	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
567	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
568	#3490	—	13	8	no	—
569	#3490	—	13	8	no	—
570	#3490	—	13	1	no	—
571	#3490	—	13	4	no	—
572	#3490	—	13	1	no	—
573	#3490	—	13	4	no	—
574	#3490	—	13	2	no	—
575	#3490	—	13	2	no	—
576	#3490	—	13	1	no	—
577	#3490	D₁₃	1	1	yes	characteristic, direct product factor
578	C₂×#551	—	13	8	no	—
579	C₂×#546	—	13	8	no	—
580	C₂×#543	—	13	1	no	—
581	C₂×#538	—	13	4	no	—
582	C₂×#534	—	13	1	no	—
583	C₂×#525	—	13	4	no	—
584	C₂²×#120	—	13	2	no	—
585	C₂×#518	—	13	2	no	—
586	C₂³×C₂²⋊C₄	—	13	1	no	—
587	C₂³×C₁₃	—	2	2	no	—
588	C₂³×C₁₃	—	2	4	no	—
589	C₂³×C₁₃	—	2	8	no	—
590	C₂³×C₁₃	—	2	2	no	—
591	C₂³×C₁₃	—	2	8	no	—
592	C₂³×C₁₃	—	2	4	no	—
593	C₂³×C₁₃	—	4	2	no	—
594	C₂³×C₁₃	—	4	4	no	—
595	C₂³×C₁₃	—	4	2	no	—
596	C₂³×C₁₃	—	4	4	no	—
597	C₂³×C₁₃	—	4	16	no	—
598	C₂³×C₁₃	C₂×#41	1	4	yes	complemented
599	C₂³×C₁₃	C₂⁵	1	2	yes	—
600	C₂³×C₁₃	C₂⁵	1	4	yes	—
601	C₂³×C₁₃	C₂⁵	1	2	yes	—
602	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
603	C₂³×C₁₃	C₂⁵	1	2	yes	—
604	C₂²×D₁₃	—	2	32	no	—
605	C₂²×D₁₃	—	2	2	no	—
606	C₂²×D₁₃	—	2	4	no	—
607	C₂²×D₁₃	—	2	4	no	—
608	C₂²×D₁₃	—	2	4	no	—
609	C₂²×D₁₃	—	2	4	no	—
610	C₂²×D₁₃	—	2	4	no	—
611	C₂²×D₁₃	—	2	4	no	—
612	C₂²×D₁₃	—	2	4	no	—
613	C₂²×D₁₃	—	2	8	no	—
614	C₂²×D₁₃	—	2	8	no	—
615	C₂²×D₁₃	—	2	2	no	—
616	C₂²×D₁₃	—	2	8	no	—
617	C₂²×D₁₃	—	2	4	no	—
618	C₂²×D₁₃	—	2	8	no	—
619	C₂²×D₁₃	—	2	8	no	—
620	C₂²×D₁₃	—	2	8	no	—
621	C₂²×D₁₃	—	2	4	no	—
622	C₂²×D₁₃	—	2	4	no	—
623	C₂²×D₁₃	—	2	16	no	—
624	C₂²×D₁₃	—	2	8	no	—
625	C₂²×D₁₃	—	2	8	no	—
626	C₂²×D₁₃	—	2	8	no	—
627	C₂²×D₁₃	—	2	8	no	—
628	C₂²×D₁₃	—	4	16	no	—
629	C₂²×D₁₃	—	4	4	no	—
630	C₂²×D₁₃	—	4	4	no	—
631	C₂²×D₁₃	—	4	4	no	—
632	C₂²×D₁₃	—	4	4	no	—
633	C₂²×D₁₃	—	4	2	no	—
634	C₂²×D₁₃	—	4	4	no	—
635	C₂²×D₁₃	—	4	2	no	—
636	C₂²×D₁₃	—	4	64	no	—
637	C₂²×D₁₃	—	4	4	no	—
638	C₂²×D₁₃	—	4	8	no	—
639	C₂²×D₁₃	—	4	16	no	—
640	C₂²×D₁₃	—	4	64	no	—
641	C₂²×D₁₃	—	4	16	no	—
642	C₂²×D₁₃	—	4	16	no	—
643	C₂²×D₁₃	—	4	16	no	—
644	C₂²×D₁₃	—	8	16	no	—
645	C₂²×D₁₃	C₂×#41	1	8	yes	—
646	C₂²×D₁₃	C₂×#41	1	4	yes	—
647	C₂²×D₁₃	C₂×#41	1	8	yes	complemented
648	C₂²×D₁₃	C₂×#41	1	4	yes	complemented
649	C₂²×D₁₃	H(5,𝔽₂)	1	8	yes	—
650	C₂²×D₁₃	C₂⁵	1	2	yes	—
651	C₂²×D₁₃	C₂⁵	1	4	yes	—
652	C₂²×D₁₃	C₂⁵	1	2	yes	—
653	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
654	C₂²×D₁₃	C₂⁵	1	2	yes	—
655	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
656	Q₈×C₁₃	—	4	4	no	—
657	D₄×C₁₃	—	2	8	no	—
658	D₄×C₁₃	—	2	8	no	—
659	D₄×C₁₃	—	2	16	no	—
660	D₄×C₁₃	—	4	8	no	—
661	D₄×C₁₃	—	4	4	no	—
662	C₂×C₄×C₁₃	—	2	4	no	—
663	C₂×C₄×C₁₃	—	2	8	no	—
664	C₂×C₄×C₁₃	—	4	2	no	—
665	C₂×C₄×C₁₃	—	4	4	no	—
666	C₂×C₄×C₁₃	—	4	2	no	—
667	C₂×C₄×C₁₃	—	4	4	no	—
668	C₂×C₄×C₁₃	—	4	8	no	—
669	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
670	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
671	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
672	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
673	C₂²⋊D₁₃	—	2	8	no	—
674	C₂²⋊D₁₃	—	2	8	no	—
675	C₂²⋊D₁₃	—	2	16	no	—
676	C₂²⋊D₁₃	—	2	8	no	—
677	C₂²⋊D₁₃	—	2	8	no	—
678	C₂²⋊D₁₃	—	2	16	no	—
679	C₂²⋊D₁₃	—	4	8	no	—
680	C₂²⋊D₁₃	—	4	8	no	—
681	C₂²⋊D₁₃	—	4	8	no	—
682	C₂×Dic₁₃	—	2	4	no	—
683	C₂×Dic₁₃	—	2	8	no	—
684	C₂×Dic₁₃	—	4	2	no	—
685	C₂×Dic₁₃	—	4	4	no	—
686	C₂×Dic₁₃	—	4	2	no	—
687	C₂×Dic₁₃	—	4	8	no	—
688	C₂×Dic₁₃	—	4	4	no	—
689	C₂×Dic₁₃	C₂⁵	1	4	yes	—
690	C₂×Dic₁₃	C₂⁵	1	4	yes	—
691	C₂×Dic₁₃	C₂⁵	1	8	yes	—
692	C₂×Dic₁₃	C₂⁵	1	4	yes	—
693	D₅₂	—	2	8	no	—
694	D₅₂	—	2	8	no	—
695	D₅₂	—	2	16	no	—
696	D₅₂	—	4	8	no	—
697	D₅₂	—	4	4	no	—
698	C₄×D₁₃	—	2	8	no	—
699	C₄×D₁₃	—	2	8	no	—
700	C₄×D₁₃	—	2	8	no	—
701	C₄×D₁₃	—	2	8	no	—
702	C₄×D₁₃	—	2	8	no	—
703	C₄×D₁₃	—	2	8	no	—
704	C₄×D₁₃	—	2	16	no	—
705	C₄×D₁₃	—	4	4	no	—
706	C₄×D₁₃	—	4	4	no	—
707	C₄×D₁₃	—	4	4	no	—
708	C₄×D₁₃	—	4	4	no	—
709	C₄×D₁₃	—	4	8	no	—
710	C₄×D₁₃	—	4	8	no	—
711	C₄×D₁₃	—	4	8	no	—
712	Dic₂₆	—	4	8	no	—
713	Dic₂₆	—	4	4	no	—
714	C₂⁶	—	13	1	no	—
715	C₂²×#41	—	13	4	no	—
716	C₂³×D₄	—	13	2	no	—
717	C₂³×D₄	—	13	4	no	—
718	C₂⁴×C₄	—	13	2	no	—
719	#551	—	13	8	no	—
720	#551	—	13	8	no	—
721	#551	—	13	8	no	—
722	#551	—	13	8	no	—
723	#551	—	13	8	no	—
724	#551	—	13	8	no	—
725	#551	—	13	8	no	—
726	#551	—	13	8	no	—
727	#551	—	13	8	no	—
728	#551	—	13	8	no	—
729	#551	—	13	8	no	—
730	#551	—	13	8	no	—
731	#551	—	13	8	no	—
732	#551	—	13	8	no	—
733	#551	—	13	8	no	—
734	#551	C₂×D₁₃	1	8	yes	complemented
735	#546	—	13	8	no	—
736	#546	—	13	8	no	—
737	#546	—	13	8	no	—
738	#546	—	13	8	no	—
739	#546	—	13	8	no	—
740	#546	—	13	8	no	—
741	#546	—	13	8	no	—
742	#546	—	13	8	no	—
743	#546	—	13	8	no	—
744	#546	—	13	8	no	—
745	#546	—	13	8	no	—
746	#546	—	13	8	no	—
747	#546	—	13	8	no	—
748	#546	—	13	8	no	—
749	#546	—	13	8	no	—
750	#546	C₂×D₁₃	1	8	yes	complemented
751	#543	—	13	4	no	—
752	#543	—	13	8	no	—
753	#543	—	13	2	no	—
754	#543	—	13	1	no	—
755	#543	C₂×D₁₃	1	1	yes	characteristic, complemented
756	#538	—	13	8	no	—
757	#538	—	13	8	no	—
758	#538	—	13	8	no	—
759	#538	—	13	4	no	—
760	#538	—	13	8	no	—
761	#538	—	13	4	no	—
762	#538	—	13	8	no	—
763	#538	—	13	8	no	—
764	#538	—	13	4	no	—
765	#538	C₂×D₁₃	1	4	yes	complemented
766	#534	—	13	2	no	—
767	#534	—	13	4	no	—
768	#534	—	13	4	no	—
769	#534	—	13	4	no	—
770	#534	—	13	1	no	—
771	#534	C₂×D₁₃	1	1	yes	characteristic, complemented
772	C₂×#126	—	13	8	no	—
773	C₂×#124	—	13	8	no	—
774	#525	—	13	4	no	—
775	#525	—	13	4	no	—
776	#525	—	13	8	no	—
777	#525	—	13	4	no	—
778	#525	—	13	4	no	—
779	#525	—	13	4	no	—
780	#525	—	13	4	no	—
781	#525	—	13	8	no	—
782	#525	—	13	8	no	—
783	#525	—	13	8	no	—
784	#525	—	13	4	no	—
785	#525	C₂×D₁₃	1	4	yes	complemented
786	C₂×#123	—	13	8	no	—
787	C₂×#123	—	13	4	no	—
788	C₂×#123	—	13	8	no	—
789	C₂×C₂²⋊Q₈	—	13	4	no	—
790	C₂×C₂²⋊Q₈	—	13	4	no	—
791	C₂×C₂²⋊Q₈	—	13	8	no	—
792	C₂×#121	—	13	4	no	—
793	C₂×#121	—	13	4	no	—
794	C₂×#121	—	13	8	no	—
795	C₂×#120	—	13	2	no	—
796	C₂×#120	—	13	2	no	—
797	C₂×#120	—	13	4	no	—
798	C₂×#120	—	13	8	no	—
799	C₂×#120	—	13	8	no	—
800	C₂×#120	—	13	4	no	—
801	C₂×#120	—	13	4	no	—
802	C₂×#120	—	13	4	no	—
803	C₂×#120	—	13	4	no	—
804	C₂×#120	—	13	4	no	—
805	C₂×#120	—	13	2	no	—
806	C₂×#120	—	13	4	no	—
807	C₂×#120	C₂×D₁₃	1	2	yes	complemented
808	#518	—	13	2	no	—
809	#518	—	13	8	no	—
810	#518	—	13	8	no	—
811	#518	—	13	4	no	—
812	#518	—	13	2	no	—
813	#518	—	13	2	no	—
814	#518	—	13	4	no	—
815	#518	C₂×D₁₃	1	2	yes	complemented
816	C₂×C₄×D₄	—	13	8	no	—
817	C₂×C₄×D₄	—	13	8	no	—
818	C₂×C₄×D₄	—	13	8	no	—
819	C₂×#117	—	13	4	no	—
820	C₂×#117	—	13	4	no	—
821	C₂²×C₂²⋊C₄	—	13	1	no	—
822	C₂²×C₂²⋊C₄	—	13	2	no	—
823	C₂²×C₂²⋊C₄	—	13	1	no	—
824	C₂²×C₂²⋊C₄	—	13	1	no	—
825	C₂²×C₂²⋊C₄	—	13	2	no	—
826	C₂²×C₂²⋊C₄	—	13	1	no	—
827	C₂²×C₂²⋊C₄	—	13	1	no	—
828	C₂²×C₂²⋊C₄	—	13	2	no	—
829	C₂²×C₂²⋊C₄	—	13	8	no	—
830	C₂²×C₂²⋊C₄	—	13	2	no	—
831	C₂²×C₂²⋊C₄	—	13	8	no	—
832	C₂²×C₂²⋊C₄	—	13	4	no	—
833	C₂²×C₂²⋊C₄	—	13	4	no	—
834	C₂²×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
835	C₂²×C₁₃	—	2	8	no	—
836	C₂²×C₁₃	—	2	2	no	—
837	C₂²×C₁₃	—	2	2	no	—
838	C₂²×C₁₃	—	2	2	no	—
839	C₂²×C₁₃	—	2	4	no	—
840	C₂²×C₁₃	—	2	4	no	—
841	C₂²×C₁₃	—	2	2	no	—
842	C₂²×C₁₃	—	2	8	no	—
843	C₂²×C₁₃	—	2	4	no	—
844	C₂²×C₁₃	—	4	4	no	—
845	C₂²×C₁₃	—	4	16	no	—
846	C₂²×C₁₃	—	4	4	no	—
847	C₂²×C₁₃	—	8	4	no	—
848	C₂²×C₁₃	C₂²×#41	1	4	yes	—
849	C₂²×C₁₃	C₂²×#41	1	2	yes	—
850	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
851	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
852	C₂×D₁₃	—	2	16	no	—
853	C₂×D₁₃	—	2	8	no	—
854	C₂×D₁₃	—	2	2	no	—
855	C₂×D₁₃	—	2	2	no	—
856	C₂×D₁₃	—	2	2	no	—
857	C₂×D₁₃	—	2	4	no	—
858	C₂×D₁₃	—	2	8	no	—
859	C₂×D₁₃	—	2	16	no	—
860	C₂×D₁₃	—	2	16	no	—
861	C₂×D₁₃	—	2	4	no	—
862	C₂×D₁₃	—	2	2	no	—
863	C₂×D₁₃	—	2	8	no	—
864	C₂×D₁₃	—	2	4	no	—
865	C₂×D₁₃	—	4	8	no	—
866	C₂×D₁₃	—	4	4	no	—
867	C₂×D₁₃	—	4	16	no	—
868	C₂×D₁₃	—	4	16	no	—
869	C₂×D₁₃	—	4	16	no	—
870	C₂×D₁₃	—	4	8	no	—
871	C₂×D₁₃	—	4	4	no	—
872	C₂×D₁₃	—	4	8	no	—
873	C₂×D₁₃	—	4	16	no	—
874	C₂×D₁₃	—	8	8	no	—
875	C₂×D₁₃	—	8	4	no	—
876	C₂×D₁₃	C₂²×#41	1	4	yes	—
877	C₂×D₁₃	C₂²×#41	1	2	yes	—
878	C₂×D₁₃	C₂²×#41	1	2	yes	—
879	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
880	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
881	C₄×C₁₃	—	2	4	no	—
882	C₄×C₁₃	—	2	4	no	—
883	C₄×C₁₃	—	2	8	no	—
884	C₄×C₁₃	—	2	4	no	—
885	Dic₁₃	—	2	4	no	—
886	Dic₁₃	—	2	4	no	—
887	Dic₁₃	—	2	8	no	—
888	Dic₁₃	—	2	4	no	—
889	C₂⁵	—	13	1	no	—
890	C₂⁵	—	13	1	no	—
891	C₂⁵	—	13	4	no	—
892	C₂⁵	—	13	1	no	—
893	C₂⁵	—	13	1	no	—
894	C₂⁵	—	13	4	no	—
895	C₂⁵	—	13	1	no	—
896	C₂⁵	—	13	1	no	—
897	C₂⁵	—	13	2	no	—
898	C₂⁵	—	26	8	no	—
899	C₂⁵	—	52	8	no	—
900	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
901	C₂×#41	—	13	4	no	—
902	C₂×#41	—	13	8	no	—
903	C₂×#41	—	13	4	no	—
904	C₂×#41	—	13	4	no	—
905	C₂×#41	—	13	8	no	—
906	C₂×#41	—	52	16	no	—
907	C₂×#41	C₂²×D₁₃	1	4	yes	complemented
908	C₂²×Q₈	—	13	4	no	—
909	C₂²×D₄	—	13	2	no	—
910	C₂²×D₄	—	13	2	no	—
911	C₂²×D₄	—	13	4	no	—
912	C₂²×D₄	—	13	4	no	—
913	C₂²×D₄	—	13	4	no	—
914	C₂²×D₄	—	13	4	no	—
915	C₂²×D₄	—	13	8	no	—
916	C₂²×D₄	—	13	4	no	—
917	C₂²×D₄	—	13	4	no	—
918	C₂²×D₄	—	13	8	no	—
919	C₂²×D₄	—	13	8	no	—
920	C₂²×D₄	—	13	8	no	—
921	C₂²×D₄	—	13	4	no	—
922	C₂²×D₄	—	13	2	no	—
923	C₂²×D₄	—	13	4	no	—
924	C₂²×D₄	—	26	16	no	—
925	C₂²×D₄	—	52	16	no	—
926	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
927	C₂²×D₄	C₂²×D₁₃	1	4	yes	complemented
928	C₂³×C₄	—	13	2	no	—
929	C₂³×C₄	—	13	2	no	—
930	C₂³×C₄	—	13	4	no	—
931	C₂³×C₄	—	13	2	no	—
932	C₂³×C₄	—	13	4	no	—
933	C₂³×C₄	—	13	4	no	—
934	C₂³×C₄	—	13	2	no	—
935	C₂³×C₄	—	13	4	no	—
936	C₂³×C₄	—	13	2	no	—
937	C₂³×C₄	—	13	4	no	—
938	C₂³×C₄	—	13	2	no	—
939	C₂³×C₄	—	13	8	no	—
940	C₂³×C₄	—	52	8	no	—
941	C₂³×C₄	C₂²×D₁₃	1	2	yes	complemented
942	#126	—	13	8	no	—
943	#126	—	13	8	no	—
944	#126	—	13	8	no	—
945	#126	—	13	8	no	—
946	#126	—	13	8	no	—
947	#126	—	13	8	no	—
948	#126	—	13	8	no	—
949	#126	C₂²×D₁₃	1	8	yes	complemented
950	#124	—	13	8	no	—
951	#124	—	13	8	no	—
952	#124	—	13	8	no	—
953	#124	—	13	8	no	—
954	#124	—	13	8	no	—
955	#124	—	13	8	no	—
956	#124	—	13	8	no	—
957	#124	C₂²×D₁₃	1	8	yes	complemented
958	#123	—	13	8	no	—
959	#123	—	13	4	no	—
960	#123	—	13	8	no	—
961	#123	—	13	8	no	—
962	#123	—	13	4	no	—
963	#123	—	13	8	no	—
964	#123	—	13	8	no	—
965	#123	—	13	8	no	—
966	#123	—	13	8	no	—
967	#123	—	13	8	no	—
968	#123	—	13	8	no	—
969	#123	—	13	8	no	—
970	#123	—	13	4	no	—
971	#123	—	13	8	no	—
972	#123	—	13	8	no	—
973	#123	—	13	8	no	—
974	#123	—	13	8	no	—
975	#123	—	13	8	no	—
976	#123	—	13	8	no	—
977	#123	C₂²×D₁₃	1	8	yes	complemented
978	#123	C₂²×D₁₃	1	8	yes	complemented
979	#123	C₂²×D₁₃	1	4	yes	complemented
980	C₂²⋊Q₈	—	13	4	no	—
981	C₂²⋊Q₈	—	13	4	no	—
982	C₂²⋊Q₈	—	13	8	no	—
983	C₂²⋊Q₈	—	13	4	no	—
984	C₂²⋊Q₈	—	13	4	no	—
985	C₂²⋊Q₈	—	13	8	no	—
986	C₂²⋊Q₈	—	13	8	no	—
987	C₂²⋊Q₈	—	13	4	no	—
988	C₂²⋊Q₈	—	13	8	no	—
989	C₂²⋊Q₈	—	13	4	no	—
990	C₂²⋊Q₈	—	13	8	no	—
991	C₂²⋊Q₈	—	13	8	no	—
992	C₂²⋊Q₈	—	13	8	no	—
993	C₂²⋊Q₈	—	13	8	no	—
994	C₂²⋊Q₈	—	13	8	no	—
995	C₂²⋊Q₈	—	13	8	no	—
996	C₂²⋊Q₈	—	13	8	no	—
997	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
998	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
999	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
1000	#121	—	13	8	no	—
1001	#121	—	13	8	no	—
1002	#121	—	13	8	no	—
1003	#121	—	13	8	no	—
1004	#121	—	13	4	no	—
1005	#121	—	13	4	no	—
1006	#121	—	13	8	no	—
1007	#121	—	13	4	no	—
1008	#121	—	13	4	no	—
1009	#121	—	13	8	no	—
1010	#121	—	13	4	no	—
1011	#121	—	13	4	no	—
1012	#121	—	13	8	no	—
1013	#121	—	13	8	no	—
1014	#121	—	13	8	no	—
1015	#121	—	13	8	no	—
1016	#121	—	13	8	no	—
1017	#121	C₂²×D₁₃	1	8	yes	complemented
1018	#121	C₂²×D₁₃	1	4	yes	complemented
1019	#121	C₂²×D₁₃	1	4	yes	complemented
1020	#120	—	13	4	no	—
1021	#120	—	13	4	no	—
1022	#120	—	13	8	no	—
1023	#120	—	13	4	no	—
1024	#120	—	13	8	no	—
1025	#120	—	13	4	no	—
1026	#120	—	13	4	no	—
1027	#120	—	13	8	no	—
1028	#120	—	13	8	no	—
1029	#120	—	13	8	no	—
1030	#120	—	13	8	no	—
1031	#120	—	13	4	no	—
1032	#120	—	13	8	no	—
1033	#120	—	13	4	no	—
1034	#120	—	13	8	no	—
1035	#120	—	13	8	no	—
1036	#120	—	13	4	no	—
1037	#120	—	13	8	no	—
1038	#120	—	13	8	no	—
1039	#120	—	13	8	no	—
1040	#120	—	13	4	no	—
1041	#120	—	13	8	no	—
1042	#120	C₂²×D₁₃	1	8	yes	—
1043	#120	C₂²×D₁₃	1	4	yes	complemented
1044	#120	C₂²×D₁₃	1	4	yes	complemented
1045	#120	C₂²×D₁₃	1	4	yes	complemented
1046	C₄×D₄	—	13	8	no	—
1047	C₄×D₄	—	13	8	no	—
1048	C₄×D₄	—	13	8	no	—
1049	C₄×D₄	—	13	8	no	—
1050	C₄×D₄	—	13	8	no	—
1051	C₄×D₄	—	13	8	no	—
1052	C₄×D₄	—	13	8	no	—
1053	C₄×D₄	—	13	8	no	—
1054	C₄×D₄	—	13	8	no	—
1055	C₄×D₄	—	13	8	no	—
1056	C₄×D₄	—	13	8	no	—
1057	C₄×D₄	—	13	8	no	—
1058	C₄×D₄	—	13	8	no	—
1059	C₄×D₄	—	13	8	no	—
1060	C₄×D₄	—	13	8	no	—
1061	C₄×D₄	—	13	8	no	—
1062	C₄×D₄	—	13	8	no	—
1063	C₄×D₄	—	13	8	no	—
1064	C₄×D₄	—	13	8	no	—
1065	C₄×D₄	—	13	8	no	—
1066	C₄×D₄	—	13	8	no	—
1067	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1068	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1069	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1070	#117	—	13	4	no	—
1071	#117	—	13	4	no	—
1072	#117	—	13	8	no	—
1073	#117	—	13	4	no	—
1074	#117	—	13	4	no	—
1075	#117	—	13	4	no	—
1076	#117	—	13	4	no	—
1077	#117	—	13	8	no	—
1078	#117	—	13	8	no	—
1079	#117	—	13	8	no	—
1080	#117	C₂²×D₁₃	1	4	yes	complemented
1081	#117	C₂²×D₁₃	1	4	yes	complemented
1082	C₂×C₄⋊C₄	—	13	8	no	—
1083	C₂×C₄⋊C₄	—	13	4	no	—
1084	C₂×C₄⋊C₄	—	13	4	no	—
1085	C₂×C₄⋊C₄	—	13	8	no	—
1086	C₂×C₂²⋊C₄	—	13	1	no	—
1087	C₂×C₂²⋊C₄	—	13	1	no	—
1088	C₂×C₂²⋊C₄	—	13	2	no	—
1089	C₂×C₂²⋊C₄	—	13	8	no	—
1090	C₂×C₂²⋊C₄	—	13	2	no	—
1091	C₂×C₂²⋊C₄	—	13	4	no	—
1092	C₂×C₂²⋊C₄	—	13	4	no	—
1093	C₂×C₂²⋊C₄	—	13	2	no	—
1094	C₂×C₂²⋊C₄	—	13	2	no	—
1095	C₂×C₂²⋊C₄	—	13	2	no	—
1096	C₂×C₂²⋊C₄	—	13	2	no	—
1097	C₂×C₂²⋊C₄	—	13	8	no	—
1098	C₂×C₂²⋊C₄	—	13	8	no	—
1099	C₂×C₂²⋊C₄	—	13	4	no	—
1100	C₂×C₂²⋊C₄	—	13	4	no	—
1101	C₂×C₂²⋊C₄	—	13	4	no	—
1102	C₂×C₂²⋊C₄	—	13	8	no	—
1103	C₂×C₂²⋊C₄	—	13	4	no	—
1104	C₂×C₂²⋊C₄	—	13	4	no	—
1105	C₂×C₂²⋊C₄	—	13	4	no	—
1106	C₂×C₂²⋊C₄	—	13	8	no	—
1107	C₂×C₂²⋊C₄	—	13	4	no	—
1108	C₂×C₂²⋊C₄	—	13	8	no	—
1109	C₂×C₂²⋊C₄	—	13	8	no	—
1110	C₂×C₂²⋊C₄	—	13	8	no	—
1111	C₂×C₂²⋊C₄	—	13	8	no	—
1112	C₂×C₂²⋊C₄	—	13	8	no	—
1113	C₂×C₂²⋊C₄	—	13	4	no	—
1114	C₂×C₂²⋊C₄	—	13	8	no	—
1115	C₂×C₂²⋊C₄	—	13	4	no	—
1116	C₂×C₂²⋊C₄	—	13	4	no	—
1117	C₂×C₂²⋊C₄	—	13	4	no	—
1118	C₂×C₂²⋊C₄	—	13	4	no	—
1119	C₂×C₂²⋊C₄	—	13	4	no	—
1120	C₂×C₂²⋊C₄	—	13	8	no	—
1121	C₂×C₂²⋊C₄	—	13	8	no	—
1122	C₂×C₂²⋊C₄	—	13	8	no	—
1123	C₂×C₂²⋊C₄	—	13	8	no	—
1124	C₂×C₂²⋊C₄	—	13	8	no	—
1125	C₂×C₂²⋊C₄	—	13	8	no	—
1126	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1127	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1128	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1129	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	complemented
1130	C₂×C₂²⋊C₄	C₂²×D₁₃	1	8	yes	complemented
1131	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1132	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1133	C₂×C₄²	—	13	8	no	—
1134	C₂×C₁₃	—	2	2	no	—
1135	C₂×C₁₃	—	2	4	no	—
1136	C₂×C₁₃	—	2	4	no	—
1137	C₂×C₁₃	—	4	2	no	—
1138	C₂×C₁₃	—	4	4	no	—
1139	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1140	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	2	yes	—
1141	D₁₃	—	2	2	no	—
1142	D₁₃	—	2	4	no	—
1143	D₁₃	—	2	4	no	—
1144	D₁₃	—	4	2	no	—
1145	D₁₃	—	4	4	no	—
1146	D₁₃	#3490	1	4	yes	direct product factor
1147	C₂⁴	—	2	4	no	—
1148	C₂⁴	—	4	4	no	—
1149	C₂⁴	—	13	2	no	—
1150	C₂⁴	—	13	1	no	—
1151	C₂⁴	—	13	2	no	—
1152	C₂⁴	—	13	8	no	—
1153	C₂⁴	—	13	1	no	—
1154	C₂⁴	—	13	2	no	—
1155	C₂⁴	—	13	2	no	—
1156	C₂⁴	—	13	4	no	—
1157	C₂⁴	—	13	1	no	—
1158	C₂⁴	—	13	2	no	—
1159	C₂⁴	—	13	4	no	—
1160	C₂⁴	—	13	4	no	—
1161	C₂⁴	—	13	4	no	—
1162	C₂⁴	—	13	2	no	—
1163	C₂⁴	—	13	1	no	—
1164	C₂⁴	—	13	4	no	—
1165	C₂⁴	—	13	2	no	—
1166	C₂⁴	—	26	8	no	—
1167	C₂⁴	—	26	4	no	—
1168	C₂⁴	—	26	16	no	—
1169	C₂⁴	—	26	4	no	—
1170	C₂⁴	—	26	16	no	—
1171	C₂⁴	—	26	4	no	—
1172	C₂⁴	—	26	16	no	—
1173	C₂⁴	—	26	4	no	—
1174	C₂⁴	—	26	8	no	—
1175	C₂⁴	—	26	4	no	—
1176	C₂⁴	—	52	4	no	—
1177	C₂⁴	—	52	8	no	—
1178	C₂⁴	—	52	4	no	—
1179	C₂⁴	—	52	8	no	—
1180	C₂⁴	—	52	4	no	—
1181	C₂⁴	—	52	8	no	—
1182	C₂⁴	—	52	4	no	—
1183	C₂⁴	—	52	4	no	—
1184	C₂⁴	—	52	8	no	—
1185	C₂⁴	—	52	64	no	—
1186	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1187	C₂⁴	C₂³×D₁₃	1	4	yes	—
1188	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1189	C₂⁴	C₂³×D₁₃	1	2	yes	—
1190	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1191	#41	—	4	8	no	—
1192	#41	—	52	8	no	—
1193	#41	—	52	16	no	—
1194	#41	—	52	16	no	—
1195	#41	—	52	8	no	—
1196	#41	—	52	8	no	—
1197	C₂×Q₈	—	13	4	no	—
1198	C₂×Q₈	—	13	8	no	—
1199	C₂×Q₈	—	52	8	no	—
1200	C₂×Q₈	C₂³×D₁₃	1	4	yes	complemented
1201	C₂×D₄	—	2	8	no	—
1202	C₂×D₄	—	4	8	no	—
1203	C₂×D₄	—	13	4	no	—
1204	C₂×D₄	—	13	4	no	—
1205	C₂×D₄	—	13	4	no	—
1206	C₂×D₄	—	13	4	no	—
1207	C₂×D₄	—	13	8	no	—
1208	C₂×D₄	—	13	8	no	—
1209	C₂×D₄	—	13	8	no	—
1210	C₂×D₄	—	13	8	no	—
1211	C₂×D₄	—	13	8	no	—
1212	C₂×D₄	—	13	4	no	—
1213	C₂×D₄	—	13	4	no	—
1214	C₂×D₄	—	13	8	no	—
1215	C₂×D₄	—	13	4	no	—
1216	C₂×D₄	—	13	8	no	—
1217	C₂×D₄	—	26	8	no	—
1218	C₂×D₄	—	26	16	no	—
1219	C₂×D₄	—	26	16	no	—
1220	C₂×D₄	—	26	16	no	—
1221	C₂×D₄	—	26	16	no	—
1222	C₂×D₄	—	26	32	no	—
1223	C₂×D₄	—	26	8	no	—
1224	C₂×D₄	—	26	8	no	—
1225	C₂×D₄	—	52	8	no	—
1226	C₂×D₄	—	52	16	no	—
1227	C₂×D₄	—	52	8	no	—
1228	C₂×D₄	—	52	16	no	—
1229	C₂×D₄	—	52	16	no	—
1230	C₂×D₄	—	52	8	no	—
1231	C₂×D₄	—	52	8	no	—
1232	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1233	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1234	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1235	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1236	C₂×D₄	C₂³×D₁₃	1	4	yes	complemented
1237	C₂²×C₄	—	4	4	no	—
1238	C₂²×C₄	—	13	2	no	—
1239	C₂²×C₄	—	13	4	no	—
1240	C₂²×C₄	—	13	2	no	—
1241	C₂²×C₄	—	13	4	no	—
1242	C₂²×C₄	—	13	4	no	—
1243	C₂²×C₄	—	13	2	no	—
1244	C₂²×C₄	—	13	8	no	—
1245	C₂²×C₄	—	13	4	no	—
1246	C₂²×C₄	—	13	4	no	—
1247	C₂²×C₄	—	13	8	no	—
1248	C₂²×C₄	—	13	4	no	—
1249	C₂²×C₄	—	13	4	no	—
1250	C₂²×C₄	—	13	4	no	—
1251	C₂²×C₄	—	13	4	no	—
1252	C₂²×C₄	—	13	4	no	—
1253	C₂²×C₄	—	13	4	no	—
1254	C₂²×C₄	—	13	4	no	—
1255	C₂²×C₄	—	13	8	no	—
1256	C₂²×C₄	—	13	4	no	—
1257	C₂²×C₄	—	13	8	no	—
1258	C₂²×C₄	—	13	8	no	—
1259	C₂²×C₄	—	26	16	no	—
1260	C₂²×C₄	—	26	8	no	—
1261	C₂²×C₄	—	52	8	no	—
1262	C₂²×C₄	—	52	4	no	—
1263	C₂²×C₄	—	52	8	no	—
1264	C₂²×C₄	—	52	4	no	—
1265	C₂²×C₄	—	52	4	no	—
1266	C₂²×C₄	—	52	8	no	—
1267	C₂²×C₄	—	52	4	no	—
1268	C₂²×C₄	—	52	8	no	—
1269	C₂²×C₄	—	52	16	no	—
1270	C₂²×C₄	—	52	4	no	—
1271	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1272	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1273	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1274	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1275	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1276	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1277	C₂²×C₄	C₂³×D₁₃	1	8	yes	complemented
1278	C₄⋊C₄	—	13	8	no	—
1279	C₄⋊C₄	—	13	8	no	—
1280	C₄⋊C₄	—	13	8	no	—
1281	C₄⋊C₄	—	13	8	no	—
1282	C₄⋊C₄	—	13	4	no	—
1283	C₄⋊C₄	—	13	8	no	—
1284	C₄⋊C₄	—	13	4	no	—
1285	C₄⋊C₄	—	13	8	no	—
1286	C₄⋊C₄	—	13	8	no	—
1287	C₄⋊C₄	—	13	8	no	—
1288	C₄⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1289	C₄⋊C₄	C₂³×D₁₃	1	4	yes	complemented
1290	C₄⋊C₄	C₂³×D₁₃	1	4	yes	complemented
1291	C₄⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1292	C₂²⋊C₄	—	13	4	no	—
1293	C₂²⋊C₄	—	13	4	no	—
1294	C₂²⋊C₄	—	13	8	no	—
1295	C₂²⋊C₄	—	13	4	no	—
1296	C₂²⋊C₄	—	13	8	no	—
1297	C₂²⋊C₄	—	13	4	no	—
1298	C₂²⋊C₄	—	13	8	no	—
1299	C₂²⋊C₄	—	13	8	no	—
1300	C₂²⋊C₄	—	13	8	no	—
1301	C₂²⋊C₄	—	13	8	no	—
1302	C₂²⋊C₄	—	13	8	no	—
1303	C₂²⋊C₄	—	13	8	no	—
1304	C₂²⋊C₄	—	13	8	no	—
1305	C₂²⋊C₄	—	13	8	no	—
1306	C₂²⋊C₄	—	13	8	no	—
1307	C₂²⋊C₄	—	13	8	no	—
1308	C₂²⋊C₄	—	13	8	no	—
1309	C₂²⋊C₄	—	13	8	no	—
1310	C₂²⋊C₄	—	13	8	no	—
1311	C₂²⋊C₄	—	13	8	no	—
1312	C₂²⋊C₄	—	13	8	no	—
1313	C₂²⋊C₄	—	13	8	no	—
1314	C₂²⋊C₄	—	13	8	no	—
1315	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1316	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1317	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1318	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1319	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1320	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1321	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1322	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1323	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1324	C₄²	—	13	8	no	—
1325	C₄²	—	13	8	no	—
1326	C₄²	—	13	8	no	—
1327	C₄²	C₂³×D₁₃	1	8	yes	complemented
1328	C₁₃	C₂×#3490	1	1	yes	characteristic, complemented, Sylow
1329	C₂³	—	2	2	no	—
1330	C₂³	—	2	4	no	—
1331	C₂³	—	2	8	no	—
1332	C₂³	—	2	2	no	—
1333	C₂³	—	2	8	no	—
1334	C₂³	—	2	4	no	—
1335	C₂³	—	4	2	no	—
1336	C₂³	—	4	4	no	—
1337	C₂³	—	4	2	no	—
1338	C₂³	—	4	4	no	—
1339	C₂³	—	4	16	no	—
1340	C₂³	—	13	1	no	—
1341	C₂³	—	13	8	no	—
1342	C₂³	—	13	4	no	—
1343	C₂³	—	13	8	no	—
1344	C₂³	—	13	2	no	—
1345	C₂³	—	13	1	no	—
1346	C₂³	—	13	2	no	—
1347	C₂³	—	13	4	no	—
1348	C₂³	—	13	8	no	—
1349	C₂³	—	13	2	no	—
1350	C₂³	—	13	4	no	—
1351	C₂³	—	26	4	no	—
1352	C₂³	—	26	4	no	—
1353	C₂³	—	26	4	no	—
1354	C₂³	—	26	4	no	—
1355	C₂³	—	26	8	no	—
1356	C₂³	—	26	4	no	—
1357	C₂³	—	26	4	no	—
1358	C₂³	—	26	16	no	—
1359	C₂³	—	26	8	no	—
1360	C₂³	—	26	8	no	—
1361	C₂³	—	26	8	no	—
1362	C₂³	—	26	8	no	—
1363	C₂³	—	26	8	no	—
1364	C₂³	—	26	4	no	—
1365	C₂³	—	26	8	no	—
1366	C₂³	—	26	4	no	—
1367	C₂³	—	26	8	no	—
1368	C₂³	—	26	32	no	—
1369	C₂³	—	26	2	no	—
1370	C₂³	—	26	4	no	—
1371	C₂³	—	26	8	no	—
1372	C₂³	—	26	2	no	—
1373	C₂³	—	26	8	no	—
1374	C₂³	—	26	4	no	—
1375	C₂³	—	52	2	no	—
1376	C₂³	—	52	4	no	—
1377	C₂³	—	52	2	no	—
1378	C₂³	—	52	4	no	—
1379	C₂³	—	52	4	no	—
1380	C₂³	—	52	4	no	—
1381	C₂³	—	52	4	no	—
1382	C₂³	—	52	4	no	—
1383	C₂³	—	52	8	no	—
1384	C₂³	—	52	16	no	—
1385	C₂³	—	52	16	no	—
1386	C₂³	—	52	64	no	—
1387	C₂³	—	52	16	no	—
1388	C₂³	—	52	64	no	—
1389	C₂³	—	52	16	no	—
1390	C₂³	—	52	16	no	—
1391	C₂³	—	104	16	no	—
1392	C₂³	#41×D₁₃	1	4	yes	complemented
1393	C₂³	C₂⁴×D₁₃	1	2	yes	—
1394	C₂³	C₂⁴×D₁₃	1	4	yes	—
1395	C₂³	C₂⁴×D₁₃	1	2	yes	—
1396	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1397	C₂³	C₂⁴×D₁₃	1	2	yes	—
1398	Q₈	—	4	4	no	—
1399	Q₈	—	52	4	no	—
1400	Q₈	—	52	8	no	—
1401	D₄	—	2	8	no	—
1402	D₄	—	2	8	no	—
1403	D₄	—	2	16	no	—
1404	D₄	—	4	8	no	—
1405	D₄	—	4	4	no	—
1406	D₄	—	26	8	no	—
1407	D₄	—	26	8	no	—
1408	D₄	—	26	16	no	—
1409	D₄	—	26	8	no	—
1410	D₄	—	26	8	no	—
1411	D₄	—	26	16	no	—
1412	D₄	—	26	8	no	—
1413	D₄	—	26	8	no	—
1414	D₄	—	26	16	no	—
1415	D₄	—	52	8	no	—
1416	D₄	—	52	4	no	—
1417	D₄	—	52	8	no	—
1418	D₄	—	52	8	no	—
1419	D₄	—	52	8	no	—
1420	C₂×C₄	—	2	4	no	—
1421	C₂×C₄	—	2	8	no	—
1422	C₂×C₄	—	4	2	no	—
1423	C₂×C₄	—	4	4	no	—
1424	C₂×C₄	—	4	2	no	—
1425	C₂×C₄	—	4	4	no	—
1426	C₂×C₄	—	4	8	no	—
1427	C₂×C₄	—	13	4	no	—
1428	C₂×C₄	—	13	4	no	—
1429	C₂×C₄	—	13	8	no	—
1430	C₂×C₄	—	13	4	no	—
1431	C₂×C₄	—	26	8	no	—
1432	C₂×C₄	—	26	8	no	—
1433	C₂×C₄	—	26	8	no	—
1434	C₂×C₄	—	26	8	no	—
1435	C₂×C₄	—	26	8	no	—
1436	C₂×C₄	—	26	8	no	—
1437	C₂×C₄	—	26	16	no	—
1438	C₂×C₄	—	26	4	no	—
1439	C₂×C₄	—	26	8	no	—
1440	C₂×C₄	—	52	4	no	—
1441	C₂×C₄	—	52	4	no	—
1442	C₂×C₄	—	52	4	no	—
1443	C₂×C₄	—	52	4	no	—
1444	C₂×C₄	—	52	8	no	—
1445	C₂×C₄	—	52	8	no	—
1446	C₂×C₄	—	52	8	no	—
1447	C₂×C₄	—	52	2	no	—
1448	C₂×C₄	—	52	4	no	—
1449	C₂×C₄	—	52	2	no	—
1450	C₂×C₄	—	52	4	no	—
1451	C₂×C₄	—	52	8	no	—
1452	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1453	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1454	C₂×C₄	C₂⁴×D₁₃	1	8	yes	—
1455	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1456	C₂²	—	2	8	no	—
1457	C₂²	—	2	2	no	—
1458	C₂²	—	2	2	no	—
1459	C₂²	—	2	2	no	—
1460	C₂²	—	2	4	no	—
1461	C₂²	—	2	4	no	—
1462	C₂²	—	2	2	no	—
1463	C₂²	—	2	8	no	—
1464	C₂²	—	2	4	no	—
1465	C₂²	—	4	4	no	—
1466	C₂²	—	4	16	no	—
1467	C₂²	—	4	4	no	—
1468	C₂²	—	8	4	no	—
1469	C₂²	—	13	2	no	—
1470	C₂²	—	13	4	no	—
1471	C₂²	—	13	4	no	—
1472	C₂²	—	13	2	no	—
1473	C₂²	—	13	4	no	—
1474	C₂²	—	26	8	no	—
1475	C₂²	—	26	16	no	—
1476	C₂²	—	26	16	no	—
1477	C₂²	—	26	8	no	—
1478	C₂²	—	26	16	no	—
1479	C₂²	—	26	2	no	—
1480	C₂²	—	26	2	no	—
1481	C₂²	—	26	2	no	—
1482	C₂²	—	26	4	no	—
1483	C₂²	—	26	4	no	—
1484	C₂²	—	26	2	no	—
1485	C₂²	—	26	8	no	—
1486	C₂²	—	26	4	no	—
1487	C₂²	—	52	4	no	—
1488	C₂²	—	52	8	no	—
1489	C₂²	—	52	16	no	—
1490	C₂²	—	52	16	no	—
1491	C₂²	—	52	4	no	—
1492	C₂²	—	52	8	no	—
1493	C₂²	—	52	16	no	—
1494	C₂²	—	52	16	no	—
1495	C₂²	—	52	8	no	—
1496	C₂²	—	104	4	no	—
1497	C₂²	—	104	8	no	—
1498	C₂²	C₂×#41×D₁₃	1	4	yes	—
1499	C₂²	C₂×#41×D₁₃	1	2	yes	—
1500	C₂²	D₁₃×H(5,𝔽₂)	1	4	yes	—
1501	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1502	C₄	—	2	4	no	—
1503	C₄	—	2	4	no	—
1504	C₄	—	2	4	no	—
1505	C₄	—	2	8	no	—
1506	C₄	—	26	4	no	—
1507	C₄	—	26	4	no	—
1508	C₄	—	26	4	no	—
1509	C₄	—	26	8	no	—
1510	C₂	—	2	2	no	—
1511	C₂	—	2	4	no	—
1512	C₂	—	2	4	no	—
1513	C₂	—	4	2	no	—
1514	C₂	—	4	4	no	—
1515	C₂	—	13	4	no	—
1516	C₂	—	26	2	no	—
1517	C₂	—	26	4	no	—
1518	C₂	—	26	4	no	—
1519	C₂	—	52	2	no	—
1520	C₂	—	52	4	no	—
1521	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1522	C₂	C₂×D₁₃×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3490	C₂
hypercenter	#3490	D₁₃
hypocenter	C₁₃	C₂×#3490
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3490

Complements

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

N	H ≅ G/N	type
1. #13128526	C₂	semidirect
2. #13128525	C₂	semidirect
3. #13128524	C₂	semidirect
4. #13128523	C₂	semidirect
5. #13128522	C₂	semidirect
6. #13128521	C₂	semidirect
7. #13128520	C₂	semidirect
8. #13128519	C₂	semidirect
9. #13128518	C₂	semidirect
10. D₁₃×#551	C₂	semidirect
11. D₁₃×#546	C₂	semidirect
12. D₁₃×#543	C₂	semidirect
13. D₁₃×#538	C₂	semidirect
14. D₁₃×#534	C₂	semidirect
15. D₁₃×#525	C₂	semidirect
16. C₂×D₁₃×#120	C₂	semidirect
17. D₁₃×#518	C₂	semidirect
18. C₂²×C₂²⋊C₄×D₁₃	C₂	semidirect
19. C₁₃×#3490	C₂	semidirect
21. C₂×#41×D₁₃	C₂²	semidirect
23. C₂²×D₄×D₁₃	C₂²	semidirect
24. C₂³×C₄×D₁₃	C₂²	semidirect
25. C₁₃×#551	C₂²	semidirect
26. C₁₃×#546	C₂²	semidirect
27. C₁₃×#543	C₂²	semidirect
28. C₁₃×#538	C₂²	semidirect
29. C₁₃×#534	C₂²	semidirect
30. C₁₃×#525	C₂²	semidirect
31. C₂×C₁₃×#120	C₂²	semidirect
32. C₁₃×#518	C₂²	semidirect
33. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
34. C₂×#88207	C₂²	semidirect
35. C₂²×C₂²⋊Dic₁₃	C₂²	semidirect
36. #11719534	C₂²	semidirect
37. #11719533	C₂²	semidirect
38. #11719511	C₂²	semidirect
39. #11719509	C₂²	semidirect
40. C₂×#88191	C₂²	semidirect
41. C₂×#88191	C₂²	semidirect
42. #11719503	C₂²	semidirect
43. #11719496	C₂²	semidirect
44. C₂²×#6103	C₂²	semidirect
45. #11719410	C₂²	semidirect
46. #11719410	C₂²	semidirect
47. #11719409	C₂²	semidirect
48. D₁₃×#126	C₂²	semidirect
49. #11719384	C₂²	semidirect
50. #11719383	C₂²	semidirect
51. #11719381	C₂²	semidirect
52. D₁₃×#124	C₂²	semidirect
53. #11719364	C₂²	semidirect
54. #11719363	C₂²	semidirect
55. #11719363	C₂²	semidirect
56. #11719362	C₂²	semidirect
57. #11719361	C₂²	semidirect
58. #11719359	C₂²	semidirect
59. #11719359	C₂²	semidirect
60. #11719358	C₂²	semidirect
61. D₁₃×#123	C₂²	semidirect
62. D₁₃×#123	C₂²	semidirect
63. D₁₃×#123	C₂²	semidirect
64. #11719349	C₂²	semidirect
65. #11719342	C₂²	semidirect
66. #11719342	C₂²	semidirect
67. #11719339	C₂²	semidirect
68. #11719339	C₂²	semidirect
69. #11719335	C₂²	semidirect
70. #11719332	C₂²	semidirect
71. #11719332	C₂²	semidirect
72. D₁₃×C₂²⋊Q₈	C₂²	semidirect
73. D₁₃×C₂²⋊Q₈	C₂²	semidirect
74. D₁₃×C₂²⋊Q₈	C₂²	semidirect
75. #11719322	C₂²	semidirect
76. #11719318	C₂²	semidirect
77. #11719317	C₂²	semidirect
78. #11719315	C₂²	semidirect
79. #11719315	C₂²	semidirect
80. #11719311	C₂²	semidirect
81. #11719311	C₂²	semidirect
82. #11719310	C₂²	semidirect
83. D₁₃×#121	C₂²	semidirect
84. D₁₃×#121	C₂²	semidirect
85. D₁₃×#121	C₂²	semidirect
86. #11719298	C₂²	semidirect
87. #11719296	C₂²	semidirect
88. #11719296	C₂²	semidirect
89. #11719294	C₂²	semidirect
91. D₁₃×#120	C₂²	semidirect
92. D₁₃×#120	C₂²	semidirect
93. D₁₃×#120	C₂²	semidirect
94. D₁₃×#120	C₂²	semidirect
95. D₁₃×#120	C₂²	semidirect
96. D₁₃×#120	C₂²	semidirect
97. #11719292	C₂²	semidirect
98. #11719291	C₂²	semidirect
99. #11719265	C₂²	semidirect
100. #11719261	C₂²	semidirect
101. #11719261	C₂²	semidirect
102. #11719259	C₂²	semidirect
103. #11719255	C₂²	semidirect
104. #11719252	C₂²	semidirect
105. #11719252	C₂²	semidirect
106. #11719250	C₂²	semidirect
107. #11719250	C₂²	semidirect
108. C₄×D₄×D₁₃	C₂²	semidirect
109. C₄×D₄×D₁₃	C₂²	semidirect
110. C₄×D₄×D₁₃	C₂²	semidirect
111. #11719232	C₂²	semidirect
112. #11719232	C₂²	semidirect
113. #11719229	C₂²	semidirect
114. #11719226	C₂²	semidirect
115. D₁₃×#117	C₂²	semidirect
116. D₁₃×#117	C₂²	semidirect
117. #11719200	C₂²	semidirect
118. #11719200	C₂²	semidirect
119. #11719199	C₂²	semidirect
120. #11719198	C₂²	semidirect
121. #11719195	C₂²	semidirect
122. #11719195	C₂²	semidirect
123. C₂×#88136	C₂²	semidirect
124. C₂×#88136	C₂²	semidirect
125. #11719191	C₂²	semidirect
126. #11719191	C₂²	semidirect
127. #11719191	C₂²	semidirect
131. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
135. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
136. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
137. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
138. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
139. #11719188	C₂²	semidirect
140. #11719188	C₂²	semidirect
153. C₂×C₁₃×#41	C₂³	semidirect
155. C₂²×D₄×C₁₃	C₂³	semidirect
156. C₂³×C₄×C₁₃	C₂³	semidirect
159. C₂²×C₂²⋊D₁₃	C₂³	semidirect
160. C₂²×C₂²⋊D₁₃	C₂³	semidirect
161. C₂³×Dic₁₃	C₂³	semidirect
163. C₂×#6131	C₂³	semidirect
164. C₂×Q₈×D₁₃	C₂³	semidirect
165. C₂×#6129	C₂³	semidirect
166. C₂×#6129	C₂³	semidirect
175. C₂×D₄×D₁₃	C₂³	semidirect
176. C₂×D₄×D₁₃	C₂³	semidirect
177. C₂×D₄×D₁₃	C₂³	semidirect
178. C₂×#6127	C₂³	semidirect
179. C₂×#6127	C₂³	semidirect
181. C₂²×D₅₂	C₂³	semidirect
189. C₂²×C₄×D₁₃	C₂³	semidirect
190. C₂²×C₄×D₁₃	C₂³	semidirect
191. C₂²×C₄×D₁₃	C₂³	semidirect
192. C₂²×C₄×D₁₃	C₂³	semidirect
193. C₂²×C₄×D₁₃	C₂³	semidirect
194. C₁₃×#126	C₂³	semidirect
195. C₁₃×#124	C₂³	semidirect
196. C₁₃×#123	C₂³	semidirect
197. C₁₃×#123	C₂³	semidirect
198. C₁₃×#123	C₂³	semidirect
199. C₁₃×C₂²⋊Q₈	C₂³	semidirect
200. C₁₃×C₂²⋊Q₈	C₂³	semidirect
201. C₁₃×C₂²⋊Q₈	C₂³	semidirect
202. C₁₃×#121	C₂³	semidirect
203. C₁₃×#121	C₂³	semidirect
204. C₁₃×#121	C₂³	semidirect
206. C₁₃×#120	C₂³	semidirect
207. C₁₃×#120	C₂³	semidirect
208. C₁₃×#120	C₂³	semidirect
209. C₄×D₄×C₁₃	C₂³	semidirect
210. C₄×D₄×C₁₃	C₂³	semidirect
211. C₄×D₄×C₁₃	C₂³	semidirect
212. C₁₃×#117	C₂³	semidirect
213. C₁₃×#117	C₂³	semidirect
217. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
218. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
219. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
220. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
222. #88207	C₂³	semidirect
223. #88207	C₂³	semidirect
224. #88207	C₂³	semidirect
228. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
229. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
230. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
231. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
232. #88201	C₂³	semidirect
233. #88200	C₂³	semidirect
234. #88200	C₂³	semidirect
235. #88200	C₂³	semidirect
236. #88193	C₂³	semidirect
237. #88193	C₂³	semidirect
238. #88193	C₂³	semidirect
239. #88193	C₂³	semidirect
240. #88192	C₂³	semidirect
241. #88192	C₂³	semidirect
242. #88192	C₂³	semidirect
246. #88191	C₂³	semidirect
247. #88191	C₂³	semidirect
248. #88191	C₂³	semidirect
249. #88191	C₂³	semidirect
250. #88191	C₂³	semidirect
251. #88191	C₂³	semidirect
252. #88190	C₂³	semidirect
253. #88189	C₂³	semidirect
254. #88189	C₂³	semidirect
255. #88189	C₂³	semidirect
256. D₄×Dic₁₃	C₂³	semidirect
257. D₄×Dic₁₃	C₂³	semidirect
258. D₄×Dic₁₃	C₂³	semidirect
259. #88184	C₂³	semidirect
260. #88184	C₂³	semidirect
261. #88184	C₂³	semidirect
262. #88183	C₂³	semidirect
263. #88183	C₂³	semidirect
264. #88183	C₂³	semidirect
265. C₄×C₂²⋊D₁₃	C₂³	semidirect
266. C₄×C₂²⋊D₁₃	C₂³	semidirect
267. C₄×C₂²⋊D₁₃	C₂³	semidirect
268. C₄×C₂²⋊D₁₃	C₂³	semidirect
269. C₄×C₂²⋊D₁₃	C₂³	semidirect
270. C₄×C₂²⋊D₁₃	C₂³	semidirect
274. C₂×#6103	C₂³	semidirect
275. C₂×#6103	C₂³	semidirect
276. C₂×#6103	C₂³	semidirect
277. C₂×#6103	C₂³	semidirect
278. C₂×#6103	C₂³	semidirect
279. C₂×#6103	C₂³	semidirect
280. C₂×#6103	C₂³	semidirect
281. #88180	C₂³	semidirect
282. #88180	C₂³	semidirect
283. #88178	C₂³	semidirect
284. #88178	C₂³	semidirect
285. #88178	C₂³	semidirect
286. #88152	C₂³	semidirect
287. #88152	C₂³	semidirect
288. #88152	C₂³	semidirect
289. #88151	C₂³	semidirect
290. #88151	C₂³	semidirect
291. #88151	C₂³	semidirect
292. #88150	C₂³	semidirect
293. #88150	C₂³	semidirect
294. #88150	C₂³	semidirect
295. #88150	C₂³	semidirect
296. #88149	C₂³	semidirect
297. #88149	C₂³	semidirect
298. #88149	C₂³	semidirect
299. #88148	C₂³	semidirect
300. #88148	C₂³	semidirect
301. #88148	C₂³	semidirect
302. #88148	C₂³	semidirect
303. #88148	C₂³	semidirect
304. #88147	C₂³	semidirect
305. #88147	C₂³	semidirect
306. #88147	C₂³	semidirect
307. #88146	C₂³	semidirect
308. #88146	C₂³	semidirect
309. #88146	C₂³	semidirect
310. C₄⋊C₄×D₁₃	C₂³	semidirect
311. C₄⋊C₄×D₁₃	C₂³	semidirect
312. C₄⋊C₄×D₁₃	C₂³	semidirect
313. C₄⋊C₄×D₁₃	C₂³	semidirect
314. #88140	C₂³	semidirect
315. #88140	C₂³	semidirect
316. #88140	C₂³	semidirect
317. #88139	C₂³	semidirect
318. #88139	C₂³	semidirect
319. #88139	C₂³	semidirect
320. #88139	C₂³	semidirect
321. #88138	C₂³	semidirect
322. #88138	C₂³	semidirect
323. #88138	C₂³	semidirect
324. #88138	C₂³	semidirect
325. #88137	C₂³	semidirect
326. #88137	C₂³	semidirect
327. #88137	C₂³	semidirect
328. #88137	C₂³	semidirect
329. #88137	C₂³	semidirect
333. #88136	C₂³	semidirect
334. #88136	C₂³	semidirect
335. #88136	C₂³	semidirect
336. #88136	C₂³	semidirect
337. #88136	C₂³	semidirect
338. #88136	C₂³	semidirect
339. #88135	C₂³	semidirect
340. #88135	C₂³	semidirect
341. #88135	C₂³	semidirect
342. #88135	C₂³	semidirect
343. #88135	C₂³	semidirect
344. #88135	C₂³	semidirect
356. C₂²⋊C₄×D₁₃	C₂³	semidirect
357. C₂²⋊C₄×D₁₃	C₂³	semidirect
358. C₂²⋊C₄×D₁₃	C₂³	semidirect
359. C₂²⋊C₄×D₁₃	C₂³	semidirect
360. C₂²⋊C₄×D₁₃	C₂³	semidirect
361. C₂²⋊C₄×D₁₃	C₂³	semidirect
362. C₂²⋊C₄×D₁₃	C₂³	semidirect
363. C₂²⋊C₄×D₁₃	C₂³	semidirect
364. C₂²⋊C₄×D₁₃	C₂³	semidirect
365. C₂²⋊C₄×D₁₃	C₂³	semidirect
366. C₂²⋊C₄×D₁₃	C₂³	semidirect
367. C₂²⋊C₄×D₁₃	C₂³	semidirect
368. #88133	C₂³	semidirect
369. #88133	C₂³	semidirect
370. #88133	C₂³	semidirect
371. #88132	C₂³	semidirect
372. #88132	C₂³	semidirect
373. #88132	C₂³	semidirect
374. #88132	C₂³	semidirect
375. #88131	C₂³	semidirect
376. #88131	C₂³	semidirect
377. #88131	C₂³	semidirect
378. #88130	C₂³	semidirect
379. #88129	C₂³	semidirect
380. C₄×D₅₂	C₂³	semidirect
381. C₄×D₅₂	C₂³	semidirect
382. C₄×D₅₂	C₂³	semidirect
383. #88126	C₂³	semidirect
384. #88126	C₂³	semidirect
385. C₄²×D₁₃	C₂³	semidirect
414. C₂³×D₁₃	#41	semidirect
432. C₂×Q₈×C₁₃	C₂⁴	semidirect
439. C₂×D₄×C₁₃	C₂⁴	semidirect
447. C₂²×C₄×C₁₃	C₂⁴	semidirect
460. C₂×C₂²⋊D₁₃	C₂⁴	semidirect
468. C₂²×Dic₁₃	C₂⁴	semidirect
490. C₂×D₅₂	C₂⁴	semidirect
514. C₂×C₄×D₁₃	C₂⁴	semidirect
515. C₂×C₄×D₁₃	C₂⁴	semidirect
516. C₂×Dic₂₆	C₂⁴	semidirect
517. C₂×Dic₂₆	C₂⁴	semidirect
518. C₁₃×C₄⋊C₄	C₂⁴	semidirect
519. C₁₃×C₄⋊C₄	C₂⁴	semidirect
520. C₁₃×C₄⋊C₄	C₂⁴	semidirect
521. C₁₃×C₄⋊C₄	C₂⁴	semidirect
529. C₁₃×C₂²⋊C₄	C₂⁴	semidirect
530. C₁₃×C₂²⋊C₄	C₂⁴	semidirect
531. C₄²×C₁₃	C₂⁴	semidirect
539. C₂²⋊Dic₁₃	C₂⁴	semidirect
540. C₂²⋊Dic₁₃	C₂⁴	semidirect
551. #6103	C₂⁴	semidirect
552. #6103	C₂⁴	semidirect
553. #6103	C₂⁴	semidirect
554. #6103	C₂⁴	semidirect
555. C₄⋊Dic₁₃	C₂⁴	semidirect
556. C₄⋊Dic₁₃	C₂⁴	semidirect
557. C₄⋊Dic₁₃	C₂⁴	semidirect
558. C₄⋊Dic₁₃	C₂⁴	semidirect
559. #6101	C₂⁴	semidirect
560. #6101	C₂⁴	semidirect
561. #6101	C₂⁴	semidirect
562. #6101	C₂⁴	semidirect
563. #6101	C₂⁴	semidirect
564. #6101	C₂⁴	semidirect
565. C₄×Dic₁₃	C₂⁴	semidirect
566. C₄×Dic₁₃	C₂⁴	semidirect
567. C₄×Dic₁₃	C₂⁴	semidirect
577. #3490	D₁₃	direct (N × H)
598. C₂³×C₁₃	C₂×#41	semidirect
647. C₂²×D₁₃	C₂×#41	semidirect
648. C₂²×D₁₃	C₂×#41	semidirect
734. #551	C₂×D₁₃	semidirect
750. #546	C₂×D₁₃	semidirect
755. #543	C₂×D₁₃	semidirect
765. #538	C₂×D₁₃	semidirect
771. #534	C₂×D₁₃	semidirect
785. #525	C₂×D₁₃	semidirect
807. C₂×#120	C₂×D₁₃	semidirect
815. #518	C₂×D₁₃	semidirect
834. C₂²×C₂²⋊C₄	C₂×D₁₃	semidirect
907. C₂×#41	C₂²×D₁₃	semidirect
927. C₂²×D₄	C₂²×D₁₃	semidirect
941. C₂³×C₄	C₂²×D₁₃	semidirect
949. #126	C₂²×D₁₃	semidirect
957. #124	C₂²×D₁₃	semidirect
977. #123	C₂²×D₁₃	semidirect
978. #123	C₂²×D₁₃	semidirect
979. #123	C₂²×D₁₃	semidirect
997. C₂²⋊Q₈	C₂²×D₁₃	semidirect
998. C₂²⋊Q₈	C₂²×D₁₃	semidirect
999. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1017. #121	C₂²×D₁₃	semidirect
1018. #121	C₂²×D₁₃	semidirect
1019. #121	C₂²×D₁₃	semidirect
1043. #120	C₂²×D₁₃	semidirect
1044. #120	C₂²×D₁₃	semidirect
1045. #120	C₂²×D₁₃	semidirect
1067. C₄×D₄	C₂²×D₁₃	semidirect
1068. C₄×D₄	C₂²×D₁₃	semidirect
1069. C₄×D₄	C₂²×D₁₃	semidirect
1080. #117	C₂²×D₁₃	semidirect
1081. #117	C₂²×D₁₃	semidirect
1129. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1130. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1131. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1132. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1146. D₁₃	#3490	direct (N × H)
1200. C₂×Q₈	C₂³×D₁₃	semidirect
1236. C₂×D₄	C₂³×D₁₃	semidirect
1277. C₂²×C₄	C₂³×D₁₃	semidirect
1288. C₄⋊C₄	C₂³×D₁₃	semidirect
1289. C₄⋊C₄	C₂³×D₁₃	semidirect
1290. C₄⋊C₄	C₂³×D₁₃	semidirect
1291. C₄⋊C₄	C₂³×D₁₃	semidirect
1322. C₂²⋊C₄	C₂³×D₁₃	semidirect
1323. C₂²⋊C₄	C₂³×D₁₃	semidirect
1327. C₄²	C₂³×D₁₃	semidirect
1328. C₁₃	C₂×#3490	semidirect
1392. C₂³	#41×D₁₃	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#13128526	2
#13128525	2
#13128524	2
#13128523	2
#13128522	2
#13128521	2
#13128520	2
#13128519	2
#13128518	2
D₁₃×#551	2
D₁₃×#546	2
D₁₃×#543	2
D₁₃×#538	2
D₁₃×#534	2
D₁₃×#525	2
C₂×D₁₃×#120	2
D₁₃×#518	2
C₂²×C₂²⋊C₄×D₁₃	2
C₁₃×#3490	2
C₂×#3490	13

Subgroups — D13×#3490 #16770824

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3490 #16770824