Subgroups — D₁₃×#3484 #16770794

Order 3328.

14438 conjugacy classes of subgroups.

The subgroup lattice has 1482 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128472	C₂	1	1	yes	maximal, characteristic, complemented
4	#13128471	C₂	1	1	yes	maximal, characteristic, complemented
5	#13128470	C₂	1	2	yes	maximal, complemented
6	#13128469	C₂	1	2	yes	maximal, complemented
7	#13128468	C₂	1	4	yes	maximal, complemented
8	#13128467	C₂	1	1	yes	maximal, characteristic, complemented
9	#13128466	C₂	1	8	yes	maximal, complemented
10	#13128465	C₂	1	4	yes	maximal, complemented
11	#13128464	C₂	1	8	yes	maximal, complemented
12	D₁₃×#546	C₂	1	8	yes	maximal, complemented
13	D₄²×D₁₃	C₂	1	8	yes	maximal, complemented
14	D₁₃×#535	C₂	1	2	yes	maximal, complemented
15	D₁₃×#534	C₂	1	4	yes	maximal, complemented
16	D₁₃×#525	C₂	1	2	yes	maximal, complemented
17	C₂×D₁₃×#120	C₂	1	4	yes	maximal, complemented
18	D₁₃×#518	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂⁵×D₁₃	C₂²	1	2	yes	complemented
21	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
22	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
23	C₂³×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
24	D₁₃×H(5,𝔽₂)	—	2	16	no	—
25	C₂×#88256	C₂²	1	2	yes	complemented
26	C₂×#88256	C₂²	1	4	yes	complemented
27	C₂×#41×D₁₃	C₂²	1	2	yes	complemented
28	C₂×#41×D₁₃	C₂²	1	4	yes	complemented
29	C₂×#88251	C₂²	1	4	yes	complemented
30	C₂×#88251	C₂²	1	4	yes	complemented
31	C₂×#88251	C₂²	1	1	yes	characteristic, complemented
32	C₂²×D₄×D₁₃	—	2	16	no	—
33	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₂²×D₄×D₁₃	C₂²	1	8	yes	complemented
35	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
36	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
38	C₂²×D₄×D₁₃	C₂²	1	4	yes	complemented
39	C₂²×D₄×D₁₃	C₂²	1	8	yes	complemented
40	C₂²×D₄×D₁₃	C₂²	1	4	yes	complemented
41	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
42	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂²×D₄×D₁₃	C₂²	1	8	yes	complemented
44	C₂³×D₅₂	C₂²	1	1	yes	characteristic, complemented
45	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#546	C₂²	1	8	yes	complemented
47	D₄²×C₁₃	C₂²	1	8	yes	complemented
48	C₁₃×#535	C₂²	1	2	yes	complemented
49	C₁₃×#534	C₂²	1	4	yes	complemented
50	C₁₃×#525	C₂²	1	2	yes	complemented
51	C₂×C₁₃×#120	C₂²	1	4	yes	complemented
52	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88207	C₂²	1	4	yes	complemented
54	#11719535	C₂²	1	2	yes	complemented
55	#11719534	C₂²	1	8	yes	complemented
56	#11719533	C₂²	1	2	yes	complemented
57	#11719511	C₂²	1	8	yes	complemented
58	#11719510	C₂²	1	2	yes	complemented
59	#11719509	C₂²	1	4	yes	complemented
60	#11719509	C₂²	1	4	yes	complemented
61	D₄×C₂²⋊D₁₃	C₂²	1	16	yes	complemented
62	D₄×C₂²⋊D₁₃	C₂²	1	8	yes	complemented
63	D₄×C₂²⋊D₁₃	C₂²	1	8	yes	complemented
64	C₂×#88191	C₂²	1	8	yes	complemented
65	C₂×#88191	C₂²	1	4	yes	complemented
66	#11719503	C₂²	1	1	yes	characteristic, complemented
67	#11719496	C₂²	1	2	yes	complemented
68	#11719422	C₂²	1	8	yes	complemented
69	#11719420	C₂²	1	4	yes	complemented
70	D₁₃×#127	C₂²	1	4	yes	complemented
71	#11719381	C₂²	1	8	yes	complemented
72	#11719379	C₂²	1	4	yes	complemented
73	D₁₃×#124	C₂²	1	4	yes	complemented
74	#11719361	C₂²	1	4	yes	complemented
75	#11719359	C₂²	1	16	yes	complemented
76	#11719358	C₂²	1	8	yes	complemented
77	#11719358	C₂²	1	8	yes	complemented
78	D₁₃×#123	C₂²	1	4	yes	complemented
79	D₁₃×#123	C₂²	1	8	yes	complemented
80	#11719335	C₂²	1	8	yes	complemented
81	#11719332	C₂²	1	4	yes	complemented
82	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
83	#11719317	C₂²	1	8	yes	complemented
84	#11719315	C₂²	1	16	yes	complemented
85	#11719314	C₂²	1	8	yes	complemented
86	#11719314	C₂²	1	16	yes	complemented
87	#11719314	C₂²	1	8	yes	complemented
88	#11719312	C₂²	1	8	yes	complemented
89	#11719311	C₂²	1	4	yes	complemented
90	#11719310	C₂²	1	16	yes	complemented
91	D₁₃×#121	C₂²	1	4	yes	complemented
92	D₁₃×#121	C₂²	1	16	yes	complemented
93	D₁₃×#121	C₂²	1	8	yes	complemented
94	#11719297	C₂²	1	8	yes	complemented
95	#11719296	C₂²	1	16	yes	complemented
96	#11719295	C₂²	1	16	yes	complemented
97	#11719295	C₂²	1	16	yes	complemented
98	#11719294	C₂²	1	8	yes	complemented
99	#11719294	C₂²	1	8	yes	complemented
100	D₁₃×#120	C₂²	1	4	yes	complemented
101	D₁₃×#120	C₂²	1	16	yes	complemented
102	D₁₃×#120	C₂²	1	8	yes	complemented
103	D₁₃×#120	C₂²	1	8	yes	complemented
104	D₁₃×#120	C₂²	1	16	yes	complemented
105	D₁₃×#120	C₂²	1	8	yes	complemented
106	D₁₃×#120	C₂²	1	8	yes	complemented
107	#11719291	C₂²	1	4	yes	complemented
108	#11719259	C₂²	1	8	yes	complemented
109	#11719255	C₂²	1	8	yes	complemented
110	D₄×D₅₂	C₂²	1	8	yes	complemented
111	D₄×D₅₂	C₂²	1	8	yes	complemented
112	#11719252	C₂²	1	8	yes	complemented
113	#11719250	C₂²	1	8	yes	complemented
114	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
115	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
116	#11719230	C₂²	1	2	yes	complemented
117	#11719229	C₂²	1	2	yes	complemented
118	#11719226	C₂²	1	2	yes	complemented
119	D₁₃×#117	C₂²	1	2	yes	complemented
120	#11719198	C₂²	1	4	yes	complemented
121	#11719195	C₂²	1	16	yes	complemented
122	C₂×#88136	C₂²	1	8	yes	complemented
123	C₂×#88136	C₂²	1	4	yes	complemented
124	#11719191	C₂²	1	4	yes	complemented
125	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	complemented
126	C₂×C₂²⋊C₄×D₁₃	C₂²	1	8	yes	complemented
127	C₂⁵×C₁₃	C₂³	1	2	yes	complemented
128	C₂⁴×D₁₃	—	2	16	no	—
129	C₂⁴×D₁₃	—	4	16	no	—
130	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
131	C₂⁴×D₁₃	C₂³	1	8	yes	—
132	C₂⁴×D₁₃	C₂³	1	2	yes	—
133	C₂⁴×D₁₃	C₂³	1	2	yes	—
134	C₂⁴×D₁₃	C₂³	1	2	yes	complemented
135	C₂⁴×D₁₃	C₂³	1	8	yes	complemented
136	C₂⁴×D₁₃	C₂³	1	2	yes	complemented
137	C₂⁴×D₁₃	C₂³	1	2	yes	complemented
138	C₂⁴×D₁₃	C₂³	1	4	yes	complemented
139	C₁₃×H(5,𝔽₂)	—	2	8	no	—
140	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
141	C₂×C₁₃×#41	C₂³	1	4	yes	complemented
142	C₂²×D₄×C₁₃	—	2	8	no	—
143	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₂²×D₄×C₁₃	C₂³	1	8	yes	complemented
145	C₂²×D₄×C₁₃	C₂³	1	2	yes	complemented
146	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
147	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
148	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
149	C₂²×D₄×C₁₃	C₂³	1	8	yes	complemented
150	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
151	C₂²×C₂²⋊D₁₃	—	2	16	no	—
152	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
153	C₂²×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
154	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	complemented
155	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	complemented
156	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	complemented
157	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
158	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
159	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
160	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
161	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
162	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
163	#88256	—	2	32	no	—
164	#88256	—	2	16	no	—
165	#41×D₁₃	—	2	32	no	—
166	#41×D₁₃	—	2	16	no	—
167	C₂×#6131	C₂³	1	2	yes	complemented
168	C₂×#6131	C₂³	1	4	yes	complemented
169	C₂×Q₈×D₁₃	C₂³	1	2	yes	complemented
170	#88251	—	2	8	no	—
171	#88251	—	2	32	no	—
172	#88251	—	2	32	no	—
173	C₂×#6129	C₂³	1	2	yes	complemented
174	C₂×#6129	C₂³	1	4	yes	complemented
175	C₂×#6129	C₂³	1	8	yes	complemented
176	C₂×#6129	C₂³	1	4	yes	complemented
177	C₂×D₄×D₁₃	—	2	16	no	—
178	C₂×D₄×D₁₃	—	2	32	no	—
179	C₂×D₄×D₁₃	—	2	8	no	—
180	C₂×D₄×D₁₃	—	2	16	no	—
181	C₂×D₄×D₁₃	—	2	64	no	—
182	C₂×D₄×D₁₃	—	2	64	no	—
183	C₂×D₄×D₁₃	—	2	32	no	—
184	C₂×D₄×D₁₃	—	2	8	no	—
185	C₂×D₄×D₁₃	—	2	8	no	—
186	C₂×D₄×D₁₃	—	4	32	no	—
187	C₂×D₄×D₁₃	D₄	1	16	yes	complemented
188	C₂×D₄×D₁₃	C₂³	1	8	yes	—
189	C₂×D₄×D₁₃	C₂³	1	4	yes	—
190	C₂×D₄×D₁₃	C₂³	1	8	yes	—
191	C₂×D₄×D₁₃	C₂³	1	4	yes	—
192	C₂×D₄×D₁₃	C₂³	1	4	yes	—
193	C₂×D₄×D₁₃	C₂³	1	4	yes	—
194	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
195	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
196	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
197	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
198	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
199	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
200	C₂×D₄×D₁₃	C₂³	1	2	yes	complemented
201	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
202	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
203	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
204	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
205	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
206	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
207	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
208	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
209	C₂×#6127	C₂³	1	4	yes	complemented
210	C₂×#6127	C₂³	1	4	yes	complemented
211	C₂×#6127	C₂³	1	2	yes	complemented
212	C₂×#6127	C₂³	1	8	yes	complemented
213	C₂²×D₅₂	—	2	8	no	—
214	C₂²×D₅₂	C₂³	1	1	yes	characteristic
215	C₂²×D₅₂	C₂³	1	1	yes	characteristic, complemented
216	C₂²×D₅₂	C₂³	1	8	yes	complemented
217	C₂²×D₅₂	C₂³	1	2	yes	complemented
218	C₂²×D₅₂	C₂³	1	4	yes	complemented
219	C₂²×D₅₂	C₂³	1	4	yes	complemented
220	C₂²×D₅₂	C₂³	1	8	yes	complemented
221	C₂²×C₄×D₁₃	—	2	8	no	—
222	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
223	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
224	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
225	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
226	C₂²×C₄×D₁₃	C₂³	1	4	yes	complemented
227	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
228	C₂²×C₄×D₁₃	C₂³	1	4	yes	complemented
229	C₂²×C₄×D₁₃	C₂³	1	4	yes	complemented
230	C₂²×C₄×D₁₃	C₂³	1	8	yes	complemented
231	C₁₃×#127	C₂³	1	4	yes	complemented
232	C₁₃×#124	C₂³	1	4	yes	complemented
233	C₁₃×#123	C₂³	1	4	yes	complemented
234	C₁₃×#123	C₂³	1	8	yes	complemented
235	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
236	C₁₃×#121	C₂³	1	4	yes	complemented
237	C₁₃×#121	C₂³	1	16	yes	complemented
238	C₁₃×#121	C₂³	1	8	yes	complemented
239	C₁₃×#120	C₂³	1	4	yes	complemented
240	C₁₃×#120	C₂³	1	8	yes	complemented
241	C₁₃×#120	C₂³	1	16	yes	complemented
242	C₁₃×#120	C₂³	1	8	yes	complemented
243	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
244	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
245	C₁₃×#117	C₂³	1	2	yes	complemented
246	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
247	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
248	#88207	C₂³	1	4	yes	complemented
249	#88207	C₂³	1	16	yes	complemented
250	#88207	C₂³	1	8	yes	complemented
251	#88207	C₂³	1	8	yes	complemented
252	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	complemented
253	C₂×C₂²⋊Dic₁₃	C₂³	1	8	yes	complemented
254	#88201	C₂³	1	4	yes	complemented
255	#88200	C₂³	1	4	yes	complemented
256	#88194	C₂³	1	4	yes	complemented
257	#88194	C₂³	1	16	yes	complemented
258	#88194	C₂³	1	4	yes	complemented
259	#88193	C₂³	1	8	yes	complemented
260	#88193	C₂³	1	16	yes	complemented
261	#88193	C₂³	1	16	yes	complemented
262	#88193	C₂³	1	16	yes	complemented
263	#88192	C₂³	1	4	yes	complemented
264	#88192	C₂³	1	16	yes	complemented
265	#88192	C₂³	1	8	yes	complemented
266	#88191	C₂³	1	8	yes	complemented
267	#88191	C₂³	1	4	yes	complemented
268	#88191	C₂³	1	16	yes	complemented
269	#88191	C₂³	1	16	yes	complemented
270	#88191	C₂³	1	16	yes	complemented
271	#88191	C₂³	1	16	yes	complemented
272	#88191	C₂³	1	8	yes	complemented
273	#88191	C₂³	1	16	yes	complemented
274	#88191	C₂³	1	8	yes	complemented
275	#88190	C₂³	1	4	yes	complemented
276	#88189	C₂³	1	4	yes	complemented
277	#88189	C₂³	1	8	yes	complemented
278	D₄×Dic₁₃	C₂³	1	8	yes	complemented
279	D₄×Dic₁₃	C₂³	1	8	yes	complemented
280	#88184	C₂³	1	8	yes	complemented
281	#88184	C₂³	1	4	yes	complemented
282	#88184	C₂³	1	16	yes	complemented
283	#88183	C₂³	1	4	yes	complemented
284	#88183	C₂³	1	8	yes	complemented
285	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
286	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
287	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
288	C₂×#6103	C₂³	1	8	yes	complemented
289	C₂×#6103	C₂³	1	8	yes	complemented
290	C₂×#6103	C₂³	1	8	yes	complemented
291	#88180	C₂³	1	2	yes	complemented
292	#88178	C₂³	1	4	yes	complemented
293	#88151	C₂³	1	4	yes	complemented
294	#88150	C₂³	1	8	yes	complemented
295	#88149	C₂³	1	4	yes	complemented
296	#88149	C₂³	1	8	yes	complemented
297	#88149	C₂³	1	16	yes	complemented
298	#88148	C₂³	1	8	yes	complemented
299	#88148	C₂³	1	16	yes	complemented
300	#88147	C₂³	1	8	yes	complemented
301	#88147	C₂³	1	8	yes	complemented
302	#88146	C₂³	1	4	yes	complemented
303	C₄⋊C₄×D₁₃	C₂³	1	4	yes	complemented
304	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
305	#88140	C₂³	1	4	yes	complemented
306	#88140	C₂³	1	8	yes	complemented
307	#88139	C₂³	1	16	yes	complemented
308	#88138	C₂³	1	8	yes	complemented
309	#88138	C₂³	1	16	yes	complemented
310	#88138	C₂³	1	16	yes	complemented
311	#88138	C₂³	1	16	yes	complemented
312	#88137	C₂³	1	8	yes	complemented
313	#88137	C₂³	1	16	yes	complemented
314	#88136	C₂³	1	4	yes	complemented
315	#88136	C₂³	1	8	yes	complemented
316	#88136	C₂³	1	16	yes	complemented
317	#88136	C₂³	1	16	yes	complemented
318	#88136	C₂³	1	16	yes	complemented
319	#88136	C₂³	1	16	yes	complemented
320	#88136	C₂³	1	8	yes	complemented
321	#88136	C₂³	1	16	yes	complemented
322	#88136	C₂³	1	8	yes	complemented
323	#88135	C₂³	1	8	yes	complemented
324	#88135	C₂³	1	8	yes	complemented
325	#88135	C₂³	1	16	yes	complemented
326	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
327	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
328	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
329	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
330	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
331	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
332	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
333	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
334	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
335	#88132	C₂³	1	8	yes	complemented
336	#88131	C₂³	1	4	yes	complemented
337	#88129	C₂³	1	4	yes	complemented
338	#88128	C₂³	1	4	yes	complemented
339	C₄×D₅₂	C₂³	1	8	yes	complemented
340	C₄×D₅₂	C₂³	1	8	yes	complemented
341	#88126	C₂³	1	4	yes	complemented
342	C₄²×D₁₃	C₂³	1	4	yes	complemented
343	C₂×#3484	—	13	1	no	maximal, Sylow
344	C₂⁴×C₁₃	—	2	8	no	—
345	C₂⁴×C₁₃	—	4	8	no	—
346	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
348	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
349	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
350	C₂⁴×C₁₃	C₂⁴	1	4	yes	complemented
351	C₂³×D₁₃	—	2	4	no	—
352	C₂³×D₁₃	—	2	8	no	—
353	C₂³×D₁₃	—	2	8	no	—
354	C₂³×D₁₃	—	2	32	no	—
355	C₂³×D₁₃	—	2	8	no	—
356	C₂³×D₁₃	—	2	8	no	—
357	C₂³×D₁₃	—	2	8	no	—
358	C₂³×D₁₃	—	2	32	no	—
359	C₂³×D₁₃	—	2	32	no	—
360	C₂³×D₁₃	—	2	16	no	—
361	C₂³×D₁₃	—	4	8	no	—
362	C₂³×D₁₃	—	4	16	no	—
363	C₂³×D₁₃	—	4	8	no	—
364	C₂³×D₁₃	—	4	8	no	—
365	C₂³×D₁₃	—	4	16	no	—
366	C₂³×D₁₃	—	4	8	no	—
367	C₂³×D₁₃	—	4	16	no	—
368	C₂³×D₁₃	—	4	16	no	—
369	C₂³×D₁₃	—	4	8	no	—
370	C₂³×D₁₃	—	4	128	no	—
371	C₂³×D₁₃	C₂×D₄	1	16	yes	complemented
372	C₂³×D₁₃	C₂⁴	1	4	yes	—
373	C₂³×D₁₃	C₂⁴	1	4	yes	—
374	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
375	C₂³×D₁₃	C₂⁴	1	2	yes	—
376	C₂³×D₁₃	C₂⁴	1	8	yes	—
377	C₂³×D₁₃	C₂⁴	1	8	yes	—
378	C₂³×D₁₃	C₂⁴	1	8	yes	—
379	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
380	C₂³×D₁₃	C₂⁴	1	4	yes	—
381	C₂³×D₁₃	C₂⁴	1	2	yes	—
382	C₂³×D₁₃	C₂⁴	1	2	yes	—
383	C₂³×D₁₃	C₂⁴	1	4	yes	—
384	C₂³×D₁₃	C₂⁴	1	2	yes	—
385	C₂³×D₁₃	C₂⁴	1	4	yes	—
386	C₂³×D₁₃	C₂⁴	1	4	yes	complemented
387	C₂³×D₁₃	C₂⁴	1	8	yes	complemented
388	C₁₃×#41	—	2	16	no	—
389	C₁₃×#41	—	2	8	no	—
390	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	complemented
391	C₂×D₄×C₁₃	—	2	8	no	—
392	C₂×D₄×C₁₃	—	2	16	no	—
393	C₂×D₄×C₁₃	—	2	32	no	—
394	C₂×D₄×C₁₃	—	2	16	no	—
395	C₂×D₄×C₁₃	—	2	4	no	—
396	C₂×D₄×C₁₃	—	4	16	no	—
397	C₂×D₄×C₁₃	C₂×D₄	1	8	yes	complemented
398	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
399	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
400	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
401	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
402	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
403	C₂×D₄×C₁₃	C₂⁴	1	8	yes	complemented
404	C₂×D₄×C₁₃	C₂⁴	1	2	yes	complemented
405	C₂×D₄×C₁₃	C₂⁴	1	16	yes	complemented
406	C₂²×C₄×C₁₃	—	2	4	no	—
407	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	complemented
411	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	complemented
412	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	complemented
413	C₂×C₂²⋊D₁₃	—	2	8	no	—
414	C₂×C₂²⋊D₁₃	—	2	16	no	—
415	C₂×C₂²⋊D₁₃	—	2	8	no	—
416	C₂×C₂²⋊D₁₃	—	2	16	no	—
417	C₂×C₂²⋊D₁₃	—	2	64	no	—
418	C₂×C₂²⋊D₁₃	—	2	32	no	—
419	C₂×C₂²⋊D₁₃	—	2	8	no	—
420	C₂×C₂²⋊D₁₃	—	4	16	no	—
421	C₂×C₂²⋊D₁₃	—	4	16	no	—
422	C₂×C₂²⋊D₁₃	C₂×D₄	1	16	yes	complemented
423	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
424	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
425	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
426	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
427	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
428	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
429	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
430	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
431	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	complemented
432	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	complemented
433	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	complemented
434	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	complemented
435	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	complemented
436	C₂²×Dic₁₃	—	2	4	no	—
437	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
438	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₁₃	C₂⁴	1	4	yes	complemented
441	C₂²×Dic₁₃	C₂⁴	1	4	yes	complemented
442	C₂²×Dic₁₃	C₂⁴	1	8	yes	complemented
443	#6131	—	2	16	no	—
444	#6131	—	2	8	no	—
445	Q₈×D₁₃	—	2	8	no	—
446	#6129	—	2	16	no	—
447	#6129	—	2	32	no	—
448	#6129	—	2	16	no	—
449	#6129	—	2	8	no	—
450	D₄×D₁₃	—	2	32	no	—
451	D₄×D₁₃	—	2	16	no	—
452	D₄×D₁₃	—	2	32	no	—
453	D₄×D₁₃	—	2	32	no	—
454	D₄×D₁₃	—	2	32	no	—
455	D₄×D₁₃	—	2	32	no	—
456	D₄×D₁₃	—	2	32	no	—
457	D₄×D₁₃	—	2	32	no	—
458	D₄×D₁₃	—	2	16	no	—
459	D₄×D₁₃	—	2	64	no	—
460	D₄×D₁₃	—	2	32	no	—
461	D₄×D₁₃	—	2	32	no	—
462	D₄×D₁₃	—	2	16	no	—
463	D₄×D₁₃	—	2	16	no	—
464	D₄×D₁₃	—	2	8	no	—
465	D₄×D₁₃	—	2	16	no	—
466	D₄×D₁₃	—	4	32	no	—
467	D₄×D₁₃	—	4	32	no	—
468	D₄×D₁₃	—	4	32	no	—
469	D₄×D₁₃	C₂×D₄	1	32	yes	complemented
470	D₄×D₁₃	C₂×D₄	1	32	yes	complemented
471	#6127	—	2	8	no	—
472	#6127	—	2	32	no	—
473	#6127	—	2	16	no	—
474	#6127	—	2	16	no	—
475	C₂×D₅₂	—	2	8	no	—
476	C₂×D₅₂	—	2	16	no	—
477	C₂×D₅₂	—	2	4	no	—
478	C₂×D₅₂	—	2	32	no	—
479	C₂×D₅₂	—	2	16	no	—
480	C₂×D₅₂	—	4	16	no	—
481	C₂×D₅₂	C₂×D₄	1	8	yes	complemented
482	C₂×D₅₂	C₂⁴	1	8	yes	—
483	C₂×D₅₂	C₂⁴	1	4	yes	—
484	C₂×D₅₂	C₂⁴	1	4	yes	—
485	C₂×D₅₂	C₂⁴	1	8	yes	—
486	C₂×D₅₂	C₂⁴	1	4	yes	—
487	C₂×D₅₂	C₂⁴	1	2	yes	complemented
488	C₂×D₅₂	C₂⁴	1	8	yes	complemented
489	C₂×D₅₂	C₂⁴	1	16	yes	complemented
490	C₂×C₄×D₁₃	—	2	4	no	—
491	C₂×C₄×D₁₃	—	2	16	no	—
492	C₂×C₄×D₁₃	—	2	4	no	—
493	C₂×C₄×D₁₃	—	2	4	no	—
494	C₂×C₄×D₁₃	—	2	16	no	—
495	C₂×C₄×D₁₃	—	2	16	no	—
496	C₂×C₄×D₁₃	—	2	16	no	—
497	C₂×C₄×D₁₃	—	4	16	no	—
498	C₂×C₄×D₁₃	C₂×D₄	1	8	yes	complemented
499	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
500	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
501	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
502	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
503	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
504	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
505	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
506	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
507	C₂×C₄×D₁₃	C₂⁴	1	4	yes	complemented
508	C₂×C₄×D₁₃	C₂⁴	1	8	yes	complemented
509	C₂×C₄×D₁₃	C₂⁴	1	4	yes	complemented
510	C₂×C₄×D₁₃	C₂⁴	1	16	yes	complemented
511	C₂×Dic₂₆	C₂⁴	1	2	yes	complemented
512	C₂×Dic₂₆	C₂⁴	1	4	yes	complemented
513	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	complemented
514	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	complemented
515	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
516	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
517	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
518	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	complemented
519	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
520	C₄²×C₁₃	C₂⁴	1	4	yes	complemented
521	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
522	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
523	C₂²⋊Dic₁₃	C₂⁴	1	16	yes	complemented
524	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	complemented
525	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	complemented
526	#6103	C₂⁴	1	8	yes	—
527	#6103	C₂⁴	1	8	yes	—
528	#6103	C₂⁴	1	8	yes	—
529	#6103	C₂⁴	1	16	yes	complemented
530	#6103	C₂⁴	1	8	yes	complemented
531	#6103	C₂⁴	1	16	yes	complemented
532	#6103	C₂⁴	1	16	yes	complemented
533	#6103	C₂⁴	1	8	yes	complemented
534	C₄⋊Dic₁₃	C₂⁴	1	4	yes	complemented
535	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
536	#6101	C₂⁴	1	8	yes	complemented
537	#6101	C₂⁴	1	8	yes	complemented
538	#6101	C₂⁴	1	8	yes	complemented
539	C₄×Dic₁₃	C₂⁴	1	4	yes	complemented
540	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
541	C₂²×H(5,𝔽₂)	—	13	1	no	—
542	C₂⁴×D₄	—	13	1	no	—
543	#3484	—	13	1	no	—
544	#3484	—	13	1	no	—
545	#3484	—	13	8	no	—
546	#3484	—	13	8	no	—
547	#3484	—	13	2	no	—
548	#3484	—	13	4	no	—
549	#3484	—	13	2	no	—
550	#3484	—	13	4	no	—
551	#3484	—	13	1	no	—
552	#3484	D₁₃	1	1	yes	characteristic, direct product factor
553	C₂×#546	—	13	8	no	—
554	C₂×D₄²	—	13	8	no	—
555	C₂×#535	—	13	2	no	—
556	C₂×#534	—	13	4	no	—
557	C₂×#525	—	13	2	no	—
558	C₂²×#120	—	13	4	no	—
559	C₂×#518	—	13	1	no	—
560	C₂³×C₁₃	—	2	2	no	—
561	C₂³×C₁₃	—	2	4	no	—
562	C₂³×C₁₃	—	2	16	no	—
563	C₂³×C₁₃	—	2	4	no	—
564	C₂³×C₁₃	—	2	16	no	—
565	C₂³×C₁₃	—	2	8	no	—
566	C₂³×C₁₃	—	4	4	no	—
567	C₂³×C₁₃	—	4	8	no	—
568	C₂³×C₁₃	—	4	4	no	—
569	C₂³×C₁₃	—	4	8	no	—
570	C₂³×C₁₃	—	4	32	no	—
571	C₂³×C₁₃	C₂²×D₄	1	8	yes	complemented
572	C₂³×C₁₃	C₂⁵	1	4	yes	—
573	C₂³×C₁₃	C₂⁵	1	4	yes	—
574	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
575	C₂³×C₁₃	C₂⁵	1	4	yes	—
576	C₂³×C₁₃	C₂⁵	1	2	yes	—
577	C₂²×D₁₃	—	2	32	no	—
578	C₂²×D₁₃	—	2	2	no	—
579	C₂²×D₁₃	—	2	4	no	—
580	C₂²×D₁₃	—	2	4	no	—
581	C₂²×D₁₃	—	2	4	no	—
582	C₂²×D₁₃	—	2	16	no	—
583	C₂²×D₁₃	—	2	4	no	—
584	C₂²×D₁₃	—	2	4	no	—
585	C₂²×D₁₃	—	2	4	no	—
586	C₂²×D₁₃	—	2	4	no	—
587	C₂²×D₁₃	—	2	4	no	—
588	C₂²×D₁₃	—	2	16	no	—
589	C₂²×D₁₃	—	2	16	no	—
590	C₂²×D₁₃	—	2	8	no	—
591	C₂²×D₁₃	—	2	8	no	—
592	C₂²×D₁₃	—	2	16	no	—
593	C₂²×D₁₃	—	2	16	no	—
594	C₂²×D₁₃	—	2	8	no	—
595	C₂²×D₁₃	—	2	8	no	—
596	C₂²×D₁₃	—	2	16	no	—
597	C₂²×D₁₃	—	2	16	no	—
598	C₂²×D₁₃	—	2	16	no	—
599	C₂²×D₁₃	—	2	16	no	—
600	C₂²×D₁₃	—	2	16	no	—
601	C₂²×D₁₃	—	4	32	no	—
602	C₂²×D₁₃	—	4	4	no	—
603	C₂²×D₁₃	—	4	8	no	—
604	C₂²×D₁₃	—	4	8	no	—
605	C₂²×D₁₃	—	4	8	no	—
606	C₂²×D₁₃	—	4	8	no	—
607	C₂²×D₁₃	—	4	8	no	—
608	C₂²×D₁₃	—	4	4	no	—
609	C₂²×D₁₃	—	4	128	no	—
610	C₂²×D₁₃	—	4	8	no	—
611	C₂²×D₁₃	—	4	16	no	—
612	C₂²×D₁₃	—	4	32	no	—
613	C₂²×D₁₃	—	4	128	no	—
614	C₂²×D₁₃	—	4	32	no	—
615	C₂²×D₁₃	—	4	32	no	—
616	C₂²×D₁₃	—	4	32	no	—
617	C₂²×D₁₃	—	8	32	no	—
618	C₂²×D₁₃	C₂²×D₄	1	4	yes	—
619	C₂²×D₁₃	C₂²×D₄	1	16	yes	—
620	C₂²×D₁₃	C₂²×D₄	1	8	yes	complemented
621	C₂²×D₁₃	C₂²×D₄	1	16	yes	complemented
622	C₂²×D₁₃	H(5,𝔽₂)	1	8	yes	complemented
623	C₂²×D₁₃	C₂⁵	1	4	yes	—
624	C₂²×D₁₃	C₂⁵	1	4	yes	—
625	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
626	C₂²×D₁₃	C₂⁵	1	4	yes	—
627	C₂²×D₁₃	C₂⁵	1	2	yes	—
628	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
629	Q₈×C₁₃	—	2	4	no	—
630	D₄×C₁₃	—	2	16	no	—
631	D₄×C₁₃	—	2	8	no	—
632	D₄×C₁₃	—	2	16	no	—
633	D₄×C₁₃	—	2	16	no	—
634	D₄×C₁₃	—	2	8	no	—
635	D₄×C₁₃	—	2	4	no	—
636	D₄×C₁₃	—	4	16	no	—
637	D₄×C₁₃	C₂²×D₄	1	16	yes	complemented
638	C₂×C₄×C₁₃	—	2	2	no	—
639	C₂×C₄×C₁₃	—	2	8	no	—
640	C₂×C₄×C₁₃	—	2	8	no	—
641	C₂×C₄×C₁₃	—	2	8	no	—
642	C₂×C₄×C₁₃	—	4	8	no	—
643	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	complemented
644	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
645	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
646	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
647	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
648	C₂²⋊D₁₃	—	2	8	no	—
649	C₂²⋊D₁₃	—	2	16	no	—
650	C₂²⋊D₁₃	—	2	16	no	—
651	C₂²⋊D₁₃	—	2	16	no	—
652	C₂²⋊D₁₃	—	2	8	no	—
653	C₂²⋊D₁₃	—	2	16	no	—
654	C₂²⋊D₁₃	—	2	16	no	—
655	C₂²⋊D₁₃	—	2	16	no	—
656	C₂²⋊D₁₃	—	2	8	no	—
657	C₂²⋊D₁₃	—	2	16	no	—
658	C₂²⋊D₁₃	—	4	16	no	—
659	C₂²⋊D₁₃	—	4	16	no	—
660	C₂²⋊D₁₃	C₂²×D₄	1	32	yes	complemented
661	C₂×Dic₁₃	—	2	2	no	—
662	C₂×Dic₁₃	—	2	8	no	—
663	C₂×Dic₁₃	—	2	8	no	—
664	C₂×Dic₁₃	—	2	8	no	—
665	C₂×Dic₁₃	—	4	8	no	—
666	C₂×Dic₁₃	C₂²×D₄	1	4	yes	complemented
667	C₂×Dic₁₃	C₂⁵	1	8	yes	—
668	C₂×Dic₁₃	C₂⁵	1	2	yes	—
669	C₂×Dic₁₃	C₂⁵	1	4	yes	—
670	C₂×Dic₁₃	C₂⁵	1	2	yes	—
671	D₅₂	—	2	16	no	—
672	D₅₂	—	2	8	no	—
673	D₅₂	—	2	16	no	—
674	D₅₂	—	2	16	no	—
675	D₅₂	—	2	8	no	—
676	D₅₂	—	2	4	no	—
677	D₅₂	—	4	16	no	—
678	D₅₂	C₂²×D₄	1	16	yes	complemented
679	C₄×D₁₃	—	2	4	no	—
680	C₄×D₁₃	—	2	4	no	—
681	C₄×D₁₃	—	2	8	no	—
682	C₄×D₁₃	—	2	16	no	—
683	C₄×D₁₃	—	2	16	no	—
684	C₄×D₁₃	—	2	8	no	—
685	C₄×D₁₃	—	2	8	no	—
686	C₄×D₁₃	—	2	8	no	—
687	C₄×D₁₃	—	2	8	no	—
688	C₄×D₁₃	—	4	16	no	—
689	C₄×D₁₃	C₂²×D₄	1	8	yes	—
690	C₄×D₁₃	C₂²×D₄	1	8	yes	complemented
691	Dic₂₆	—	2	4	no	—
692	Dic₂₆	—	2	8	no	—
693	C₂⁶	—	13	2	no	—
694	C₂×H(5,𝔽₂)	—	13	4	no	—
695	C₂×H(5,𝔽₂)	—	13	2	no	—
696	C₂×H(5,𝔽₂)	—	13	1	no	—
697	C₂×H(5,𝔽₂)	—	13	4	no	—
698	C₂×H(5,𝔽₂)	—	13	4	no	—
699	C₂×H(5,𝔽₂)	—	26	16	no	—
700	C₂×H(5,𝔽₂)	C₂×D₁₃	1	1	yes	characteristic, complemented
701	C₂²×#41	—	13	2	no	—
702	C₂²×#41	—	13	4	no	—
703	C₂³×D₄	—	13	1	no	—
704	C₂³×D₄	—	13	2	no	—
705	C₂³×D₄	—	13	1	no	—
706	C₂³×D₄	—	13	2	no	—
707	C₂³×D₄	—	13	1	no	—
708	C₂³×D₄	—	13	8	no	—
709	C₂³×D₄	—	13	2	no	—
710	C₂³×D₄	—	13	8	no	—
711	C₂³×D₄	—	13	1	no	—
712	C₂³×D₄	—	13	4	no	—
713	C₂³×D₄	—	13	4	no	—
714	C₂³×D₄	—	13	8	no	—
715	C₂³×D₄	—	13	1	no	—
716	C₂³×D₄	—	26	16	no	—
717	C₂³×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
718	C₂⁴×C₄	—	13	1	no	—
719	#546	—	13	8	no	—
720	#546	—	13	8	no	—
721	#546	—	13	8	no	—
722	#546	—	13	16	no	—
723	#546	—	13	8	no	—
724	#546	—	13	16	no	—
725	#546	—	13	8	no	—
726	#546	—	13	16	no	—
727	#546	—	13	8	no	—
728	#546	—	13	8	no	—
729	#546	—	13	16	no	—
730	#546	C₂×D₁₃	1	8	yes	complemented
731	D₄²	—	13	8	no	—
732	D₄²	—	13	8	no	—
733	D₄²	—	13	16	no	—
734	D₄²	—	13	8	no	—
735	D₄²	—	13	8	no	—
736	D₄²	—	13	16	no	—
737	D₄²	—	13	8	no	—
738	D₄²	—	13	16	no	—
739	D₄²	—	13	16	no	—
740	D₄²	—	13	8	no	—
741	D₄²	—	13	8	no	—
742	D₄²	C₂×D₁₃	1	8	yes	complemented
743	#535	—	13	2	no	—
744	#535	—	13	2	no	—
745	#535	—	13	4	no	—
746	#535	—	13	4	no	—
747	#535	—	13	8	no	—
748	#535	—	13	8	no	—
749	#535	—	13	2	no	—
750	#535	C₂×D₁₃	1	2	yes	complemented
751	#534	—	13	4	no	—
752	#534	—	13	4	no	—
753	#534	—	13	8	no	—
754	#534	—	13	8	no	—
755	#534	—	13	16	no	—
756	#534	—	13	8	no	—
757	#534	—	13	8	no	—
758	#534	—	13	4	no	—
759	#534	C₂×D₁₃	1	4	yes	complemented
760	C₂×#127	—	13	4	no	—
761	C₂×#124	—	13	4	no	—
762	#525	—	13	2	no	—
763	#525	—	13	2	no	—
764	#525	—	13	4	no	—
765	#525	—	13	4	no	—
766	#525	—	13	4	no	—
767	#525	—	13	4	no	—
768	#525	—	13	8	no	—
769	#525	—	13	2	no	—
770	#525	C₂×D₁₃	1	2	yes	complemented
771	C₂×#123	—	13	4	no	—
772	C₂×#123	—	13	8	no	—
773	C₂×C₂²⋊Q₈	—	13	4	no	—
774	C₂×#121	—	13	4	no	—
775	C₂×#121	—	13	16	no	—
776	C₂×#121	—	13	8	no	—
777	C₂×#120	—	13	4	no	—
778	C₂×#120	—	13	4	no	—
779	C₂×#120	—	13	8	no	—
780	C₂×#120	—	13	4	no	—
781	C₂×#120	—	13	8	no	—
782	C₂×#120	—	13	16	no	—
783	C₂×#120	—	13	8	no	—
784	C₂×#120	—	13	8	no	—
785	C₂×#120	—	13	16	no	—
786	C₂×#120	—	13	8	no	—
787	C₂×#120	—	13	8	no	—
788	C₂×#120	—	13	4	no	—
789	C₂×#120	C₂×D₁₃	1	4	yes	complemented
790	#518	—	13	1	no	—
791	#518	—	13	8	no	—
792	#518	—	13	2	no	—
793	#518	—	13	4	no	—
794	#518	C₂×D₁₃	1	1	yes	characteristic, complemented
795	C₂×C₄×D₄	—	13	8	no	—
796	C₂×C₄×D₄	—	13	8	no	—
797	C₂×#117	—	13	2	no	—
798	C₂²×C₂²⋊C₄	—	13	4	no	—
799	C₂²×C₂²⋊C₄	—	13	8	no	—
800	C₂²×C₁₃	—	2	8	no	—
801	C₂²×C₁₃	—	2	2	no	—
802	C₂²×C₁₃	—	2	8	no	—
803	C₂²×C₁₃	—	2	2	no	—
804	C₂²×C₁₃	—	2	2	no	—
805	C₂²×C₁₃	—	2	4	no	—
806	C₂²×C₁₃	—	2	4	no	—
807	C₂²×C₁₃	—	2	8	no	—
808	C₂²×C₁₃	—	2	8	no	—
809	C₂²×C₁₃	—	4	8	no	—
810	C₂²×C₁₃	—	4	32	no	—
811	C₂²×C₁₃	—	4	8	no	—
812	C₂²×C₁₃	—	8	8	no	—
813	C₂²×C₁₃	C₂³×D₄	1	2	yes	—
814	C₂²×C₁₃	C₂³×D₄	1	8	yes	—
815	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	complemented
816	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
817	C₂×D₁₃	—	2	16	no	—
818	C₂×D₁₃	—	2	8	no	—
819	C₂×D₁₃	—	2	2	no	—
820	C₂×D₁₃	—	2	8	no	—
821	C₂×D₁₃	—	2	2	no	—
822	C₂×D₁₃	—	2	2	no	—
823	C₂×D₁₃	—	2	8	no	—
824	C₂×D₁₃	—	2	16	no	—
825	C₂×D₁₃	—	2	32	no	—
826	C₂×D₁₃	—	2	4	no	—
827	C₂×D₁₃	—	2	4	no	—
828	C₂×D₁₃	—	2	8	no	—
829	C₂×D₁₃	—	2	8	no	—
830	C₂×D₁₃	—	4	16	no	—
831	C₂×D₁₃	—	4	8	no	—
832	C₂×D₁₃	—	4	32	no	—
833	C₂×D₁₃	—	4	32	no	—
834	C₂×D₁₃	—	4	32	no	—
835	C₂×D₁₃	—	4	16	no	—
836	C₂×D₁₃	—	4	8	no	—
837	C₂×D₁₃	—	4	16	no	—
838	C₂×D₁₃	—	4	16	no	—
839	C₂×D₁₃	—	8	16	no	—
840	C₂×D₁₃	—	8	8	no	—
841	C₂×D₁₃	C₂³×D₄	1	2	yes	—
842	C₂×D₁₃	C₂³×D₄	1	8	yes	—
843	C₂×D₁₃	C₂³×D₄	1	2	yes	—
844	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
845	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	complemented
846	C₄×C₁₃	—	2	4	no	—
847	C₄×C₁₃	—	2	2	no	—
848	C₄×C₁₃	—	2	8	no	—
849	C₄×C₁₃	C₂³×D₄	1	4	yes	—
850	Dic₁₃	—	2	4	no	—
851	Dic₁₃	—	2	2	no	—
852	Dic₁₃	—	2	8	no	—
853	Dic₁₃	C₂³×D₄	1	4	yes	—
854	C₂⁵	—	13	2	no	—
855	C₂⁵	—	13	1	no	—
856	C₂⁵	—	13	8	no	—
857	C₂⁵	—	13	2	no	—
858	C₂⁵	—	13	2	no	—
859	C₂⁵	—	13	8	no	—
860	C₂⁵	—	13	2	no	—
861	C₂⁵	—	13	2	no	—
862	C₂⁵	—	13	4	no	—
863	C₂⁵	—	26	16	no	—
864	C₂⁵	—	52	16	no	—
865	C₂⁵	C₂²×D₁₃	1	2	yes	complemented
866	H(5,𝔽₂)	—	2	8	no	—
867	H(5,𝔽₂)	—	26	32	no	—
868	H(5,𝔽₂)	—	26	32	no	—
869	H(5,𝔽₂)	—	26	32	no	—
870	H(5,𝔽₂)	—	26	16	no	—
871	H(5,𝔽₂)	—	26	8	no	—
872	C₂×#41	—	13	2	no	—
873	C₂×#41	—	13	4	no	—
874	C₂×#41	—	13	4	no	—
875	C₂×#41	—	13	4	no	—
876	C₂×#41	—	13	2	no	—
877	C₂×#41	—	13	8	no	—
878	C₂×#41	—	13	2	no	—
879	C₂×#41	—	13	4	no	—
880	C₂×#41	—	13	4	no	—
881	C₂×#41	—	13	8	no	—
882	C₂×#41	—	26	16	no	—
883	C₂×#41	—	26	32	no	—
884	C₂×#41	C₂²×D₁₃	1	2	yes	complemented
885	C₂×#41	C₂²×D₁₃	1	4	yes	complemented
886	C₂²×Q₈	—	13	2	no	—
887	C₂²×D₄	—	2	8	no	—
888	C₂²×D₄	—	13	2	no	—
889	C₂²×D₄	—	13	16	no	—
890	C₂²×D₄	—	13	4	no	—
891	C₂²×D₄	—	13	4	no	—
892	C₂²×D₄	—	13	4	no	—
893	C₂²×D₄	—	13	2	no	—
894	C₂²×D₄	—	13	2	no	—
895	C₂²×D₄	—	13	2	no	—
896	C₂²×D₄	—	13	16	no	—
897	C₂²×D₄	—	13	4	no	—
898	C₂²×D₄	—	13	8	no	—
899	C₂²×D₄	—	13	8	no	—
900	C₂²×D₄	—	13	8	no	—
901	C₂²×D₄	—	13	8	no	—
902	C₂²×D₄	—	13	4	no	—
903	C₂²×D₄	—	13	8	no	—
904	C₂²×D₄	—	13	8	no	—
905	C₂²×D₄	—	13	4	no	—
906	C₂²×D₄	—	13	8	no	—
907	C₂²×D₄	—	13	4	no	—
908	C₂²×D₄	—	13	4	no	—
909	C₂²×D₄	—	13	16	no	—
910	C₂²×D₄	—	13	8	no	—
911	C₂²×D₄	—	13	8	no	—
912	C₂²×D₄	—	13	8	no	—
913	C₂²×D₄	—	13	8	no	—
914	C₂²×D₄	—	13	2	no	—
915	C₂²×D₄	—	13	8	no	—
916	C₂²×D₄	—	13	4	no	—
917	C₂²×D₄	—	13	16	no	—
918	C₂²×D₄	—	13	16	no	—
919	C₂²×D₄	—	13	16	no	—
920	C₂²×D₄	—	13	1	no	—
921	C₂²×D₄	—	13	2	no	—
922	C₂²×D₄	—	13	1	no	—
923	C₂²×D₄	—	13	8	no	—
924	C₂²×D₄	—	13	4	no	—
925	C₂²×D₄	—	13	4	no	—
926	C₂²×D₄	—	13	8	no	—
927	C₂²×D₄	—	26	8	no	—
928	C₂²×D₄	—	26	8	no	—
929	C₂²×D₄	—	26	16	no	—
930	C₂²×D₄	—	26	64	no	—
931	C₂²×D₄	—	26	64	no	—
932	C₂²×D₄	—	26	8	no	—
933	C₂²×D₄	—	26	32	no	—
934	C₂²×D₄	—	26	16	no	—
935	C₂²×D₄	—	26	32	no	—
936	C₂²×D₄	—	26	16	no	—
937	C₂²×D₄	—	26	8	no	—
938	C₂²×D₄	—	52	32	no	—
939	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
940	C₂²×D₄	C₂²×D₁₃	1	2	yes	complemented
941	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
942	C₂²×D₄	C₂²×D₁₃	1	8	yes	complemented
943	C₂²×D₄	C₂²×D₁₃	1	4	yes	complemented
944	C₂²×D₄	C₂²×D₁₃	1	4	yes	complemented
945	C₂²×D₄	C₂²×D₁₃	1	8	yes	complemented
946	C₂³×C₄	—	13	1	no	—
947	C₂³×C₄	—	13	1	no	—
948	C₂³×C₄	—	13	4	no	—
949	C₂³×C₄	—	13	1	no	—
950	C₂³×C₄	—	13	1	no	—
951	C₂³×C₄	—	13	4	no	—
952	C₂³×C₄	—	13	1	no	—
953	C₂³×C₄	—	13	4	no	—
954	C₂³×C₄	—	13	4	no	—
955	C₂³×C₄	—	13	8	no	—
956	C₂³×C₄	—	26	8	no	—
957	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
958	#127	—	13	4	no	—
959	#127	—	13	16	no	—
960	#127	—	13	4	no	—
961	#127	—	13	4	no	—
962	#127	C₂²×D₁₃	1	4	yes	complemented
963	#124	—	13	4	no	—
964	#124	—	13	4	no	—
965	#124	—	13	16	no	—
966	#124	—	13	4	no	—
967	#124	C₂²×D₁₃	1	4	yes	complemented
968	#123	—	13	4	no	—
969	#123	—	13	8	no	—
970	#123	—	13	4	no	—
971	#123	—	13	8	no	—
972	#123	—	13	8	no	—
973	#123	—	13	16	no	—
974	#123	—	13	4	no	—
975	#123	—	13	8	no	—
976	#123	—	13	16	no	—
977	#123	—	13	8	no	—
978	#123	C₂²×D₁₃	1	4	yes	complemented
979	#123	C₂²×D₁₃	1	8	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	8	no	—
985	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
986	#121	—	13	8	no	—
987	#121	—	13	16	no	—
988	#121	—	13	8	no	—
989	#121	—	13	4	no	—
990	#121	—	13	16	no	—
991	#121	—	13	16	no	—
992	#121	—	13	16	no	—
993	#121	—	13	4	no	—
994	#121	—	13	16	no	—
995	#121	—	13	8	no	—
996	#121	—	13	4	no	—
997	#121	—	13	16	no	—
998	#121	—	13	8	no	—
999	#121	—	13	8	no	—
1000	#121	—	13	16	no	—
1001	#121	—	13	16	no	—
1002	#121	—	13	16	no	—
1003	#121	C₂²×D₁₃	1	4	yes	complemented
1004	#121	C₂²×D₁₃	1	16	yes	complemented
1005	#121	C₂²×D₁₃	1	8	yes	complemented
1006	#120	—	13	4	no	—
1007	#120	—	13	8	no	—
1008	#120	—	13	16	no	—
1009	#120	—	13	8	no	—
1010	#120	—	13	4	no	—
1011	#120	—	13	8	no	—
1012	#120	—	13	8	no	—
1013	#120	—	13	16	no	—
1014	#120	—	13	8	no	—
1015	#120	—	13	16	no	—
1016	#120	—	13	16	no	—
1017	#120	—	13	16	no	—
1018	#120	—	13	16	no	—
1019	#120	—	13	8	no	—
1020	#120	—	13	4	no	—
1021	#120	—	13	8	no	—
1022	#120	—	13	16	no	—
1023	#120	—	13	16	no	—
1024	#120	—	13	16	no	—
1025	#120	—	13	16	no	—
1026	#120	—	13	16	no	—
1027	#120	—	13	8	no	—
1028	#120	C₂²×D₁₃	1	4	yes	complemented
1029	#120	C₂²×D₁₃	1	8	yes	complemented
1030	#120	C₂²×D₁₃	1	16	yes	complemented
1031	#120	C₂²×D₁₃	1	8	yes	complemented
1032	C₄×D₄	—	13	8	no	—
1033	C₄×D₄	—	13	8	no	—
1034	C₄×D₄	—	13	8	no	—
1035	C₄×D₄	—	13	16	no	—
1036	C₄×D₄	—	13	8	no	—
1037	C₄×D₄	—	13	8	no	—
1038	C₄×D₄	—	13	8	no	—
1039	C₄×D₄	—	13	8	no	—
1040	C₄×D₄	—	13	16	no	—
1041	C₄×D₄	—	13	8	no	—
1042	C₄×D₄	—	13	8	no	—
1043	C₄×D₄	—	13	8	no	—
1044	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1045	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1046	#117	—	13	2	no	—
1047	#117	—	13	4	no	—
1048	#117	—	13	4	no	—
1049	#117	—	13	4	no	—
1050	#117	C₂²×D₁₃	1	2	yes	complemented
1051	C₂×C₄⋊C₄	—	13	4	no	—
1052	C₂×C₄⋊C₄	—	13	8	no	—
1053	C₂×C₂²⋊C₄	—	13	4	no	—
1054	C₂×C₂²⋊C₄	—	13	8	no	—
1055	C₂×C₂²⋊C₄	—	13	8	no	—
1056	C₂×C₂²⋊C₄	—	13	8	no	—
1057	C₂×C₂²⋊C₄	—	13	8	no	—
1058	C₂×C₂²⋊C₄	—	13	4	no	—
1059	C₂×C₂²⋊C₄	—	13	8	no	—
1060	C₂×C₂²⋊C₄	—	13	8	no	—
1061	C₂×C₂²⋊C₄	—	13	16	no	—
1062	C₂×C₂²⋊C₄	—	13	8	no	—
1063	C₂×C₂²⋊C₄	—	13	8	no	—
1064	C₂×C₂²⋊C₄	—	13	16	no	—
1065	C₂×C₂²⋊C₄	—	13	16	no	—
1066	C₂×C₂²⋊C₄	—	13	8	no	—
1067	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1068	C₂×C₂²⋊C₄	C₂²×D₁₃	1	8	yes	complemented
1069	C₂×C₄²	—	13	4	no	—
1070	C₂×C₁₃	—	2	2	no	—
1071	C₂×C₁₃	—	2	4	no	—
1072	C₂×C₁₃	—	2	8	no	—
1073	C₂×C₁₃	—	4	4	no	—
1074	C₂×C₁₃	—	4	4	no	—
1075	C₂×C₁₃	C₂⁴×D₄	1	1	yes	characteristic
1076	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	2	yes	—
1077	D₁₃	—	2	2	no	—
1078	D₁₃	—	2	4	no	—
1079	D₁₃	—	2	8	no	—
1080	D₁₃	—	4	4	no	—
1081	D₁₃	—	4	4	no	—
1082	D₁₃	#3484	1	4	yes	direct product factor
1083	C₂⁴	—	2	8	no	—
1084	C₂⁴	—	4	8	no	—
1085	C₂⁴	—	13	1	no	—
1086	C₂⁴	—	13	2	no	—
1087	C₂⁴	—	13	4	no	—
1088	C₂⁴	—	13	16	no	—
1089	C₂⁴	—	13	4	no	—
1090	C₂⁴	—	13	2	no	—
1091	C₂⁴	—	13	4	no	—
1092	C₂⁴	—	13	4	no	—
1093	C₂⁴	—	13	2	no	—
1094	C₂⁴	—	13	1	no	—
1095	C₂⁴	—	13	8	no	—
1096	C₂⁴	—	13	8	no	—
1097	C₂⁴	—	13	8	no	—
1098	C₂⁴	—	13	4	no	—
1099	C₂⁴	—	13	2	no	—
1100	C₂⁴	—	13	8	no	—
1101	C₂⁴	—	13	4	no	—
1102	C₂⁴	—	26	4	no	—
1103	C₂⁴	—	26	8	no	—
1104	C₂⁴	—	26	8	no	—
1105	C₂⁴	—	26	8	no	—
1106	C₂⁴	—	26	32	no	—
1107	C₂⁴	—	26	32	no	—
1108	C₂⁴	—	26	8	no	—
1109	C₂⁴	—	26	32	no	—
1110	C₂⁴	—	26	16	no	—
1111	C₂⁴	—	26	8	no	—
1112	C₂⁴	—	52	8	no	—
1113	C₂⁴	—	52	16	no	—
1114	C₂⁴	—	52	8	no	—
1115	C₂⁴	—	52	16	no	—
1116	C₂⁴	—	52	8	no	—
1117	C₂⁴	—	52	8	no	—
1118	C₂⁴	—	52	16	no	—
1119	C₂⁴	—	52	8	no	—
1120	C₂⁴	—	52	16	no	—
1121	C₂⁴	—	52	128	no	—
1122	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1123	C₂⁴	C₂³×D₁₃	1	8	yes	—
1124	C₂⁴	C₂³×D₁₃	1	2	yes	—
1125	C₂⁴	C₂³×D₁₃	1	2	yes	—
1126	C₂⁴	C₂³×D₁₃	1	4	yes	complemented
1127	#41	—	2	16	no	—
1128	#41	—	2	8	no	—
1129	#41	—	26	16	no	—
1130	#41	—	26	32	no	—
1131	#41	—	26	16	no	—
1132	#41	—	26	16	no	—
1133	#41	—	26	8	no	—
1134	#41	—	26	8	no	—
1135	#41	—	26	32	no	—
1136	#41	—	26	16	no	—
1137	#41	—	26	16	no	—
1138	#41	—	26	8	no	—
1139	C₂×Q₈	—	13	4	no	—
1140	C₂×Q₈	—	13	2	no	—
1141	C₂×Q₈	—	26	8	no	—
1142	C₂×Q₈	C₂³×D₁₃	1	2	yes	complemented
1143	C₂×D₄	—	2	8	no	—
1144	C₂×D₄	—	2	16	no	—
1145	C₂×D₄	—	2	32	no	—
1146	C₂×D₄	—	2	16	no	—
1147	C₂×D₄	—	2	4	no	—
1148	C₂×D₄	—	4	16	no	—
1149	C₂×D₄	—	13	16	no	—
1150	C₂×D₄	—	13	8	no	—
1151	C₂×D₄	—	13	32	no	—
1152	C₂×D₄	—	13	32	no	—
1153	C₂×D₄	—	13	8	no	—
1154	C₂×D₄	—	13	8	no	—
1155	C₂×D₄	—	13	4	no	—
1156	C₂×D₄	—	13	4	no	—
1157	C₂×D₄	—	13	8	no	—
1158	C₂×D₄	—	13	8	no	—
1159	C₂×D₄	—	13	8	no	—
1160	C₂×D₄	—	13	8	no	—
1161	C₂×D₄	—	13	8	no	—
1162	C₂×D₄	—	13	4	no	—
1163	C₂×D₄	—	13	16	no	—
1164	C₂×D₄	—	13	16	no	—
1165	C₂×D₄	—	13	8	no	—
1166	C₂×D₄	—	13	4	no	—
1167	C₂×D₄	—	13	8	no	—
1168	C₂×D₄	—	13	4	no	—
1169	C₂×D₄	—	13	8	no	—
1170	C₂×D₄	—	13	8	no	—
1171	C₂×D₄	—	13	4	no	—
1172	C₂×D₄	—	13	2	no	—
1173	C₂×D₄	—	13	16	no	—
1174	C₂×D₄	—	26	32	no	—
1175	C₂×D₄	—	26	16	no	—
1176	C₂×D₄	—	26	8	no	—
1177	C₂×D₄	—	26	16	no	—
1178	C₂×D₄	—	26	16	no	—
1179	C₂×D₄	—	26	16	no	—
1180	C₂×D₄	—	26	8	no	—
1181	C₂×D₄	—	26	8	no	—
1182	C₂×D₄	—	26	64	no	—
1183	C₂×D₄	—	26	32	no	—
1184	C₂×D₄	—	26	32	no	—
1185	C₂×D₄	—	26	16	no	—
1186	C₂×D₄	—	26	32	no	—
1187	C₂×D₄	—	26	32	no	—
1188	C₂×D₄	—	26	16	no	—
1189	C₂×D₄	—	26	32	no	—
1190	C₂×D₄	—	26	32	no	—
1191	C₂×D₄	—	26	32	no	—
1192	C₂×D₄	—	26	32	no	—
1193	C₂×D₄	—	26	64	no	—
1194	C₂×D₄	—	26	32	no	—
1195	C₂×D₄	—	26	8	no	—
1196	C₂×D₄	—	26	16	no	—
1197	C₂×D₄	—	26	8	no	—
1198	C₂×D₄	—	26	16	no	—
1199	C₂×D₄	—	26	32	no	—
1200	C₂×D₄	—	26	16	no	—
1201	C₂×D₄	—	26	4	no	—
1202	C₂×D₄	—	52	16	no	—
1203	C₂×D₄	—	52	32	no	—
1204	C₂×D₄	—	52	32	no	—
1205	C₂×D₄	—	52	32	no	—
1206	C₂×D₄	—	52	16	no	—
1207	C₂×D₄	—	52	16	no	—
1208	C₂×D₄	D₄×D₁₃	1	8	yes	complemented
1209	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1210	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1211	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1212	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1213	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1214	C₂×D₄	C₂³×D₁₃	1	8	yes	complemented
1215	C₂×D₄	C₂³×D₁₃	1	2	yes	complemented
1216	C₂×D₄	C₂³×D₁₃	1	16	yes	complemented
1217	C₂²×C₄	—	2	4	no	—
1218	C₂²×C₄	—	13	1	no	—
1219	C₂²×C₄	—	13	8	no	—
1220	C₂²×C₄	—	13	2	no	—
1221	C₂²×C₄	—	13	2	no	—
1222	C₂²×C₄	—	13	4	no	—
1223	C₂²×C₄	—	13	4	no	—
1224	C₂²×C₄	—	13	4	no	—
1225	C₂²×C₄	—	13	1	no	—
1226	C₂²×C₄	—	13	8	no	—
1227	C₂²×C₄	—	13	8	no	—
1228	C₂²×C₄	—	13	4	no	—
1229	C₂²×C₄	—	13	2	no	—
1230	C₂²×C₄	—	13	8	no	—
1231	C₂²×C₄	—	13	4	no	—
1232	C₂²×C₄	—	13	4	no	—
1233	C₂²×C₄	—	13	4	no	—
1234	C₂²×C₄	—	13	4	no	—
1235	C₂²×C₄	—	13	2	no	—
1236	C₂²×C₄	—	13	16	no	—
1237	C₂²×C₄	—	26	4	no	—
1238	C₂²×C₄	—	26	16	no	—
1239	C₂²×C₄	—	26	16	no	—
1240	C₂²×C₄	—	26	16	no	—
1241	C₂²×C₄	—	26	4	no	—
1242	C₂²×C₄	—	26	16	no	—
1243	C₂²×C₄	—	26	4	no	—
1244	C₂²×C₄	—	26	4	no	—
1245	C₂²×C₄	—	52	16	no	—
1246	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1247	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₁₃	1	4	yes	complemented
1250	C₂²×C₄	C₂³×D₁₃	1	4	yes	complemented
1251	C₂²×C₄	C₂³×D₁₃	1	8	yes	complemented
1252	C₄⋊C₄	—	13	8	no	—
1253	C₄⋊C₄	—	13	4	no	—
1254	C₄⋊C₄	—	13	8	no	—
1255	C₄⋊C₄	—	13	8	no	—
1256	C₄⋊C₄	—	13	8	no	—
1257	C₄⋊C₄	C₂³×D₁₃	1	4	yes	complemented
1258	C₄⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1259	C₂²⋊C₄	—	13	4	no	—
1260	C₂²⋊C₄	—	13	8	no	—
1261	C₂²⋊C₄	—	13	8	no	—
1262	C₂²⋊C₄	—	13	16	no	—
1263	C₂²⋊C₄	—	13	8	no	—
1264	C₂²⋊C₄	—	13	8	no	—
1265	C₂²⋊C₄	—	13	8	no	—
1266	C₂²⋊C₄	—	13	8	no	—
1267	C₂²⋊C₄	—	13	16	no	—
1268	C₂²⋊C₄	—	13	16	no	—
1269	C₂²⋊C₄	—	13	16	no	—
1270	C₂²⋊C₄	—	13	8	no	—
1271	C₂²⋊C₄	—	13	8	no	—
1272	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1273	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1274	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1275	C₂²⋊C₄	C₂³×D₁₃	1	16	yes	complemented
1276	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1277	C₄²	—	13	8	no	—
1278	C₄²	—	13	4	no	—
1279	C₄²	C₂³×D₁₃	1	4	yes	complemented
1280	C₁₃	C₂×#3484	1	1	yes	characteristic, complemented, Sylow
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	4	no	—
1283	C₂³	—	2	16	no	—
1284	C₂³	—	2	4	no	—
1285	C₂³	—	2	16	no	—
1286	C₂³	—	2	8	no	—
1287	C₂³	—	4	4	no	—
1288	C₂³	—	4	8	no	—
1289	C₂³	—	4	4	no	—
1290	C₂³	—	4	8	no	—
1291	C₂³	—	4	32	no	—
1292	C₂³	—	13	1	no	—
1293	C₂³	—	13	4	no	—
1294	C₂³	—	13	16	no	—
1295	C₂³	—	13	8	no	—
1296	C₂³	—	13	1	no	—
1297	C₂³	—	13	2	no	—
1298	C₂³	—	13	4	no	—
1299	C₂³	—	13	16	no	—
1300	C₂³	—	13	8	no	—
1301	C₂³	—	13	4	no	—
1302	C₂³	—	13	4	no	—
1303	C₂³	—	26	4	no	—
1304	C₂³	—	26	4	no	—
1305	C₂³	—	26	16	no	—
1306	C₂³	—	26	4	no	—
1307	C₂³	—	26	4	no	—
1308	C₂³	—	26	4	no	—
1309	C₂³	—	26	4	no	—
1310	C₂³	—	26	8	no	—
1311	C₂³	—	26	16	no	—
1312	C₂³	—	26	8	no	—
1313	C₂³	—	26	8	no	—
1314	C₂³	—	26	16	no	—
1315	C₂³	—	26	16	no	—
1316	C₂³	—	26	16	no	—
1317	C₂³	—	26	16	no	—
1318	C₂³	—	26	16	no	—
1319	C₂³	—	26	16	no	—
1320	C₂³	—	26	32	no	—
1321	C₂³	—	26	2	no	—
1322	C₂³	—	26	4	no	—
1323	C₂³	—	26	16	no	—
1324	C₂³	—	26	4	no	—
1325	C₂³	—	26	16	no	—
1326	C₂³	—	26	8	no	—
1327	C₂³	—	52	8	no	—
1328	C₂³	—	52	8	no	—
1329	C₂³	—	52	4	no	—
1330	C₂³	—	52	8	no	—
1331	C₂³	—	52	4	no	—
1332	C₂³	—	52	8	no	—
1333	C₂³	—	52	8	no	—
1334	C₂³	—	52	8	no	—
1335	C₂³	—	52	16	no	—
1336	C₂³	—	52	32	no	—
1337	C₂³	—	52	32	no	—
1338	C₂³	—	52	128	no	—
1339	C₂³	—	52	32	no	—
1340	C₂³	—	52	128	no	—
1341	C₂³	—	52	32	no	—
1342	C₂³	—	52	32	no	—
1343	C₂³	—	104	32	no	—
1344	C₂³	C₂×D₄×D₁₃	1	8	yes	complemented
1345	C₂³	C₂⁴×D₁₃	1	4	yes	—
1346	C₂³	C₂⁴×D₁₃	1	4	yes	—
1347	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1348	C₂³	C₂⁴×D₁₃	1	4	yes	—
1349	C₂³	C₂⁴×D₁₃	1	2	yes	—
1350	Q₈	—	2	4	no	—
1351	Q₈	—	26	8	no	—
1352	Q₈	—	26	4	no	—
1353	D₄	—	2	16	no	—
1354	D₄	—	2	8	no	—
1355	D₄	—	2	16	no	—
1356	D₄	—	2	16	no	—
1357	D₄	—	2	8	no	—
1358	D₄	—	2	4	no	—
1359	D₄	—	4	16	no	—
1360	D₄	—	13	32	no	—
1361	D₄	—	13	16	no	—
1362	D₄	—	26	16	no	—
1363	D₄	—	26	8	no	—
1364	D₄	—	26	16	no	—
1365	D₄	—	26	16	no	—
1366	D₄	—	26	16	no	—
1367	D₄	—	26	8	no	—
1368	D₄	—	26	16	no	—
1369	D₄	—	26	8	no	—
1370	D₄	—	26	16	no	—
1371	D₄	—	26	16	no	—
1372	D₄	—	26	16	no	—
1373	D₄	—	26	8	no	—
1374	D₄	—	26	16	no	—
1375	D₄	—	26	16	no	—
1376	D₄	—	26	8	no	—
1377	D₄	—	26	4	no	—
1378	D₄	—	52	16	no	—
1379	D₄	—	52	16	no	—
1380	D₄	—	52	16	no	—
1381	D₄	C₂×D₄×D₁₃	1	16	yes	complemented
1382	C₂×C₄	—	2	2	no	—
1383	C₂×C₄	—	2	8	no	—
1384	C₂×C₄	—	2	8	no	—
1385	C₂×C₄	—	2	8	no	—
1386	C₂×C₄	—	4	8	no	—
1387	C₂×C₄	—	13	4	no	—
1388	C₂×C₄	—	13	2	no	—
1389	C₂×C₄	—	13	8	no	—
1390	C₂×C₄	—	13	8	no	—
1391	C₂×C₄	—	13	8	no	—
1392	C₂×C₄	—	13	4	no	—
1393	C₂×C₄	—	13	2	no	—
1394	C₂×C₄	—	26	8	no	—
1395	C₂×C₄	—	26	8	no	—
1396	C₂×C₄	—	26	4	no	—
1397	C₂×C₄	—	26	4	no	—
1398	C₂×C₄	—	26	8	no	—
1399	C₂×C₄	—	26	16	no	—
1400	C₂×C₄	—	26	16	no	—
1401	C₂×C₄	—	26	8	no	—
1402	C₂×C₄	—	26	8	no	—
1403	C₂×C₄	—	26	2	no	—
1404	C₂×C₄	—	26	8	no	—
1405	C₂×C₄	—	26	8	no	—
1406	C₂×C₄	—	26	8	no	—
1407	C₂×C₄	—	52	16	no	—
1408	C₂×C₄	—	52	8	no	—
1409	C₂×C₄	C₂×D₄×D₁₃	1	4	yes	complemented
1410	C₂×C₄	C₂⁴×D₁₃	1	8	yes	—
1411	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1412	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1413	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1414	C₂²	—	2	8	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	8	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	4	no	—
1420	C₂²	—	2	4	no	—
1421	C₂²	—	2	8	no	—
1422	C₂²	—	2	8	no	—
1423	C₂²	—	4	8	no	—
1424	C₂²	—	4	32	no	—
1425	C₂²	—	4	8	no	—
1426	C₂²	—	8	8	no	—
1427	C₂²	—	13	2	no	—
1428	C₂²	—	13	4	no	—
1429	C₂²	—	13	2	no	—
1430	C₂²	—	13	8	no	—
1431	C₂²	—	13	4	no	—
1432	C₂²	—	26	8	no	—
1433	C₂²	—	26	16	no	—
1434	C₂²	—	26	32	no	—
1435	C₂²	—	26	8	no	—
1436	C₂²	—	26	16	no	—
1437	C₂²	—	26	2	no	—
1438	C₂²	—	26	8	no	—
1439	C₂²	—	26	2	no	—
1440	C₂²	—	26	2	no	—
1441	C₂²	—	26	4	no	—
1442	C₂²	—	26	4	no	—
1443	C₂²	—	26	8	no	—
1444	C₂²	—	26	8	no	—
1445	C₂²	—	52	8	no	—
1446	C₂²	—	52	16	no	—
1447	C₂²	—	52	32	no	—
1448	C₂²	—	52	32	no	—
1449	C₂²	—	52	8	no	—
1450	C₂²	—	52	16	no	—
1451	C₂²	—	52	16	no	—
1452	C₂²	—	52	32	no	—
1453	C₂²	—	52	16	no	—
1454	C₂²	—	104	8	no	—
1455	C₂²	—	104	16	no	—
1456	C₂²	C₂²×D₄×D₁₃	1	2	yes	—
1457	C₂²	C₂²×D₄×D₁₃	1	8	yes	—
1458	C₂²	D₁₃×H(5,𝔽₂)	1	4	yes	complemented
1459	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1460	C₄	—	2	2	no	—
1461	C₄	—	2	4	no	—
1462	C₄	—	2	8	no	—
1463	C₄	—	13	4	no	—
1464	C₄	—	26	2	no	—
1465	C₄	—	26	4	no	—
1466	C₄	—	26	8	no	—
1467	C₄	C₂²×D₄×D₁₃	1	4	yes	—
1468	C₂	—	2	2	no	—
1469	C₂	—	2	4	no	—
1470	C₂	—	2	8	no	—
1471	C₂	—	4	4	no	—
1472	C₂	—	4	4	no	—
1473	C₂	—	13	4	no	—
1474	C₂	—	26	2	no	—
1475	C₂	—	26	4	no	—
1476	C₂	—	26	8	no	—
1477	C₂	—	52	4	no	—
1478	C₂	—	52	4	no	—
1479	C₂	C₂³×D₄×D₁₃	1	1	yes	characteristic
1480	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×#3484	C₂
hypercenter	#3484	D₁₃
hypocenter	C₁₃	C₂×#3484
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3484

Complements

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

N	H ≅ G/N	type
1. C₂×D₁₃×H(5,𝔽₂)	C₂	semidirect
2. C₂³×D₄×D₁₃	C₂	semidirect
3. #13128472	C₂	semidirect
4. #13128471	C₂	semidirect
5. #13128470	C₂	semidirect
6. #13128469	C₂	semidirect
7. #13128468	C₂	semidirect
8. #13128467	C₂	semidirect
9. #13128466	C₂	semidirect
10. #13128465	C₂	semidirect
11. #13128464	C₂	semidirect
12. D₁₃×#546	C₂	semidirect
13. D₄²×D₁₃	C₂	semidirect
14. D₁₃×#535	C₂	semidirect
15. D₁₃×#534	C₂	semidirect
16. D₁₃×#525	C₂	semidirect
17. C₂×D₁₃×#120	C₂	semidirect
18. D₁₃×#518	C₂	semidirect
19. C₁₃×#3484	C₂	semidirect
20. C₂⁵×D₁₃	C₂²	semidirect
21. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
22. C₂³×D₄×C₁₃	C₂²	semidirect
23. C₂³×C₂²⋊D₁₃	C₂²	semidirect
25. C₂×#88256	C₂²	semidirect
26. C₂×#88256	C₂²	semidirect
27. C₂×#41×D₁₃	C₂²	semidirect
28. C₂×#41×D₁₃	C₂²	semidirect
29. C₂×#88251	C₂²	semidirect
30. C₂×#88251	C₂²	semidirect
31. C₂×#88251	C₂²	semidirect
34. C₂²×D₄×D₁₃	C₂²	semidirect
35. C₂²×D₄×D₁₃	C₂²	semidirect
36. C₂²×D₄×D₁₃	C₂²	semidirect
37. C₂²×D₄×D₁₃	C₂²	semidirect
38. C₂²×D₄×D₁₃	C₂²	semidirect
39. C₂²×D₄×D₁₃	C₂²	semidirect
40. C₂²×D₄×D₁₃	C₂²	semidirect
41. C₂²×D₄×D₁₃	C₂²	semidirect
42. C₂²×D₄×D₁₃	C₂²	semidirect
43. C₂²×D₄×D₁₃	C₂²	semidirect
44. C₂³×D₅₂	C₂²	semidirect
45. C₂³×C₄×D₁₃	C₂²	semidirect
46. C₁₃×#546	C₂²	semidirect
47. D₄²×C₁₃	C₂²	semidirect
48. C₁₃×#535	C₂²	semidirect
49. C₁₃×#534	C₂²	semidirect
50. C₁₃×#525	C₂²	semidirect
51. C₂×C₁₃×#120	C₂²	semidirect
52. C₁₃×#518	C₂²	semidirect
53. C₂×#88207	C₂²	semidirect
54. #11719535	C₂²	semidirect
55. #11719534	C₂²	semidirect
56. #11719533	C₂²	semidirect
57. #11719511	C₂²	semidirect
58. #11719510	C₂²	semidirect
59. #11719509	C₂²	semidirect
60. #11719509	C₂²	semidirect
61. D₄×C₂²⋊D₁₃	C₂²	semidirect
62. D₄×C₂²⋊D₁₃	C₂²	semidirect
63. D₄×C₂²⋊D₁₃	C₂²	semidirect
64. C₂×#88191	C₂²	semidirect
65. C₂×#88191	C₂²	semidirect
66. #11719503	C₂²	semidirect
67. #11719496	C₂²	semidirect
68. #11719422	C₂²	semidirect
69. #11719420	C₂²	semidirect
70. D₁₃×#127	C₂²	semidirect
71. #11719381	C₂²	semidirect
72. #11719379	C₂²	semidirect
73. D₁₃×#124	C₂²	semidirect
74. #11719361	C₂²	semidirect
75. #11719359	C₂²	semidirect
76. #11719358	C₂²	semidirect
77. #11719358	C₂²	semidirect
78. D₁₃×#123	C₂²	semidirect
79. D₁₃×#123	C₂²	semidirect
80. #11719335	C₂²	semidirect
81. #11719332	C₂²	semidirect
82. D₁₃×C₂²⋊Q₈	C₂²	semidirect
83. #11719317	C₂²	semidirect
84. #11719315	C₂²	semidirect
85. #11719314	C₂²	semidirect
86. #11719314	C₂²	semidirect
87. #11719314	C₂²	semidirect
88. #11719312	C₂²	semidirect
89. #11719311	C₂²	semidirect
90. #11719310	C₂²	semidirect
91. D₁₃×#121	C₂²	semidirect
92. D₁₃×#121	C₂²	semidirect
93. D₁₃×#121	C₂²	semidirect
94. #11719297	C₂²	semidirect
95. #11719296	C₂²	semidirect
96. #11719295	C₂²	semidirect
97. #11719295	C₂²	semidirect
98. #11719294	C₂²	semidirect
99. #11719294	C₂²	semidirect
100. D₁₃×#120	C₂²	semidirect
101. D₁₃×#120	C₂²	semidirect
102. D₁₃×#120	C₂²	semidirect
103. D₁₃×#120	C₂²	semidirect
104. D₁₃×#120	C₂²	semidirect
105. D₁₃×#120	C₂²	semidirect
106. D₁₃×#120	C₂²	semidirect
107. #11719291	C₂²	semidirect
108. #11719259	C₂²	semidirect
109. #11719255	C₂²	semidirect
110. D₄×D₅₂	C₂²	semidirect
111. D₄×D₅₂	C₂²	semidirect
112. #11719252	C₂²	semidirect
113. #11719250	C₂²	semidirect
114. C₄×D₄×D₁₃	C₂²	semidirect
115. C₄×D₄×D₁₃	C₂²	semidirect
116. #11719230	C₂²	semidirect
117. #11719229	C₂²	semidirect
118. #11719226	C₂²	semidirect
119. D₁₃×#117	C₂²	semidirect
120. #11719198	C₂²	semidirect
121. #11719195	C₂²	semidirect
122. C₂×#88136	C₂²	semidirect
123. C₂×#88136	C₂²	semidirect
124. #11719191	C₂²	semidirect
125. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
126. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
127. C₂⁵×C₁₃	C₂³	semidirect
134. C₂⁴×D₁₃	C₂³	semidirect
135. C₂⁴×D₁₃	C₂³	semidirect
136. C₂⁴×D₁₃	C₂³	semidirect
137. C₂⁴×D₁₃	C₂³	semidirect
138. C₂⁴×D₁₃	C₂³	semidirect
140. C₂×C₁₃×#41	C₂³	semidirect
141. C₂×C₁₃×#41	C₂³	semidirect
144. C₂²×D₄×C₁₃	C₂³	semidirect
145. C₂²×D₄×C₁₃	C₂³	semidirect
146. C₂²×D₄×C₁₃	C₂³	semidirect
147. C₂²×D₄×C₁₃	C₂³	semidirect
148. C₂²×D₄×C₁₃	C₂³	semidirect
149. C₂²×D₄×C₁₃	C₂³	semidirect
150. C₂³×C₄×C₁₃	C₂³	semidirect
153. C₂²×C₂²⋊D₁₃	C₂³	semidirect
154. C₂²×C₂²⋊D₁₃	C₂³	semidirect
155. C₂²×C₂²⋊D₁₃	C₂³	semidirect
156. C₂²×C₂²⋊D₁₃	C₂³	semidirect
157. C₂²×C₂²⋊D₁₃	C₂³	semidirect
158. C₂²×C₂²⋊D₁₃	C₂³	semidirect
159. C₂²×C₂²⋊D₁₃	C₂³	semidirect
160. C₂²×C₂²⋊D₁₃	C₂³	semidirect
161. C₂²×C₂²⋊D₁₃	C₂³	semidirect
162. C₂³×Dic₁₃	C₂³	semidirect
167. C₂×#6131	C₂³	semidirect
168. C₂×#6131	C₂³	semidirect
169. C₂×Q₈×D₁₃	C₂³	semidirect
173. C₂×#6129	C₂³	semidirect
174. C₂×#6129	C₂³	semidirect
175. C₂×#6129	C₂³	semidirect
176. C₂×#6129	C₂³	semidirect
187. C₂×D₄×D₁₃	D₄	semidirect
194. C₂×D₄×D₁₃	C₂³	semidirect
195. C₂×D₄×D₁₃	C₂³	semidirect
196. C₂×D₄×D₁₃	C₂³	semidirect
197. C₂×D₄×D₁₃	C₂³	semidirect
198. C₂×D₄×D₁₃	C₂³	semidirect
199. C₂×D₄×D₁₃	C₂³	semidirect
200. C₂×D₄×D₁₃	C₂³	semidirect
201. C₂×D₄×D₁₃	C₂³	semidirect
202. C₂×D₄×D₁₃	C₂³	semidirect
203. C₂×D₄×D₁₃	C₂³	semidirect
204. C₂×D₄×D₁₃	C₂³	semidirect
205. C₂×D₄×D₁₃	C₂³	semidirect
206. C₂×D₄×D₁₃	C₂³	semidirect
207. C₂×D₄×D₁₃	C₂³	semidirect
208. C₂×D₄×D₁₃	C₂³	semidirect
209. C₂×#6127	C₂³	semidirect
210. C₂×#6127	C₂³	semidirect
211. C₂×#6127	C₂³	semidirect
212. C₂×#6127	C₂³	semidirect
215. C₂²×D₅₂	C₂³	semidirect
216. C₂²×D₅₂	C₂³	semidirect
217. C₂²×D₅₂	C₂³	semidirect
218. C₂²×D₅₂	C₂³	semidirect
219. C₂²×D₅₂	C₂³	semidirect
220. C₂²×D₅₂	C₂³	semidirect
225. C₂²×C₄×D₁₃	C₂³	semidirect
226. C₂²×C₄×D₁₃	C₂³	semidirect
227. C₂²×C₄×D₁₃	C₂³	semidirect
228. C₂²×C₄×D₁₃	C₂³	semidirect
229. C₂²×C₄×D₁₃	C₂³	semidirect
230. C₂²×C₄×D₁₃	C₂³	semidirect
231. C₁₃×#127	C₂³	semidirect
232. C₁₃×#124	C₂³	semidirect
233. C₁₃×#123	C₂³	semidirect
234. C₁₃×#123	C₂³	semidirect
235. C₁₃×C₂²⋊Q₈	C₂³	semidirect
236. C₁₃×#121	C₂³	semidirect
237. C₁₃×#121	C₂³	semidirect
238. C₁₃×#121	C₂³	semidirect
239. C₁₃×#120	C₂³	semidirect
240. C₁₃×#120	C₂³	semidirect
241. C₁₃×#120	C₂³	semidirect
242. C₁₃×#120	C₂³	semidirect
243. C₄×D₄×C₁₃	C₂³	semidirect
244. C₄×D₄×C₁₃	C₂³	semidirect
245. C₁₃×#117	C₂³	semidirect
246. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
247. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
248. #88207	C₂³	semidirect
249. #88207	C₂³	semidirect
250. #88207	C₂³	semidirect
251. #88207	C₂³	semidirect
252. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
253. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
254. #88201	C₂³	semidirect
255. #88200	C₂³	semidirect
256. #88194	C₂³	semidirect
257. #88194	C₂³	semidirect
258. #88194	C₂³	semidirect
259. #88193	C₂³	semidirect
260. #88193	C₂³	semidirect
261. #88193	C₂³	semidirect
262. #88193	C₂³	semidirect
263. #88192	C₂³	semidirect
264. #88192	C₂³	semidirect
265. #88192	C₂³	semidirect
266. #88191	C₂³	semidirect
267. #88191	C₂³	semidirect
268. #88191	C₂³	semidirect
269. #88191	C₂³	semidirect
270. #88191	C₂³	semidirect
271. #88191	C₂³	semidirect
272. #88191	C₂³	semidirect
273. #88191	C₂³	semidirect
274. #88191	C₂³	semidirect
275. #88190	C₂³	semidirect
276. #88189	C₂³	semidirect
277. #88189	C₂³	semidirect
278. D₄×Dic₁₃	C₂³	semidirect
279. D₄×Dic₁₃	C₂³	semidirect
280. #88184	C₂³	semidirect
281. #88184	C₂³	semidirect
282. #88184	C₂³	semidirect
283. #88183	C₂³	semidirect
284. #88183	C₂³	semidirect
285. C₄×C₂²⋊D₁₃	C₂³	semidirect
286. C₄×C₂²⋊D₁₃	C₂³	semidirect
287. C₄×C₂²⋊D₁₃	C₂³	semidirect
288. C₂×#6103	C₂³	semidirect
289. C₂×#6103	C₂³	semidirect
290. C₂×#6103	C₂³	semidirect
291. #88180	C₂³	semidirect
292. #88178	C₂³	semidirect
293. #88151	C₂³	semidirect
294. #88150	C₂³	semidirect
295. #88149	C₂³	semidirect
296. #88149	C₂³	semidirect
297. #88149	C₂³	semidirect
298. #88148	C₂³	semidirect
299. #88148	C₂³	semidirect
300. #88147	C₂³	semidirect
301. #88147	C₂³	semidirect
302. #88146	C₂³	semidirect
303. C₄⋊C₄×D₁₃	C₂³	semidirect
304. C₄⋊C₄×D₁₃	C₂³	semidirect
305. #88140	C₂³	semidirect
306. #88140	C₂³	semidirect
307. #88139	C₂³	semidirect
308. #88138	C₂³	semidirect
309. #88138	C₂³	semidirect
310. #88138	C₂³	semidirect
311. #88138	C₂³	semidirect
312. #88137	C₂³	semidirect
313. #88137	C₂³	semidirect
314. #88136	C₂³	semidirect
315. #88136	C₂³	semidirect
316. #88136	C₂³	semidirect
317. #88136	C₂³	semidirect
318. #88136	C₂³	semidirect
319. #88136	C₂³	semidirect
320. #88136	C₂³	semidirect
321. #88136	C₂³	semidirect
322. #88136	C₂³	semidirect
323. #88135	C₂³	semidirect
324. #88135	C₂³	semidirect
325. #88135	C₂³	semidirect
328. C₂²⋊C₄×D₁₃	C₂³	semidirect
329. C₂²⋊C₄×D₁₃	C₂³	semidirect
330. C₂²⋊C₄×D₁₃	C₂³	semidirect
331. C₂²⋊C₄×D₁₃	C₂³	semidirect
332. C₂²⋊C₄×D₁₃	C₂³	semidirect
333. C₂²⋊C₄×D₁₃	C₂³	semidirect
334. C₂²⋊C₄×D₁₃	C₂³	semidirect
335. #88132	C₂³	semidirect
336. #88131	C₂³	semidirect
337. #88129	C₂³	semidirect
338. #88128	C₂³	semidirect
339. C₄×D₅₂	C₂³	semidirect
340. C₄×D₅₂	C₂³	semidirect
341. #88126	C₂³	semidirect
342. C₄²×D₁₃	C₂³	semidirect
350. C₂⁴×C₁₃	C₂⁴	semidirect
371. C₂³×D₁₃	C₂×D₄	semidirect
386. C₂³×D₁₃	C₂⁴	semidirect
387. C₂³×D₁₃	C₂⁴	semidirect
390. C₂×Q₈×C₁₃	C₂⁴	semidirect
397. C₂×D₄×C₁₃	C₂×D₄	semidirect
403. C₂×D₄×C₁₃	C₂⁴	semidirect
404. C₂×D₄×C₁₃	C₂⁴	semidirect
405. C₂×D₄×C₁₃	C₂⁴	semidirect
410. C₂²×C₄×C₁₃	C₂⁴	semidirect
411. C₂²×C₄×C₁₃	C₂⁴	semidirect
412. C₂²×C₄×C₁₃	C₂⁴	semidirect
422. C₂×C₂²⋊D₁₃	C₂×D₄	semidirect
431. C₂×C₂²⋊D₁₃	C₂⁴	semidirect
432. C₂×C₂²⋊D₁₃	C₂⁴	semidirect
433. C₂×C₂²⋊D₁₃	C₂⁴	semidirect
434. C₂×C₂²⋊D₁₃	C₂⁴	semidirect
435. C₂×C₂²⋊D₁₃	C₂⁴	semidirect
440. C₂²×Dic₁₃	C₂⁴	semidirect
441. C₂²×Dic₁₃	C₂⁴	semidirect
442. C₂²×Dic₁₃	C₂⁴	semidirect
469. D₄×D₁₃	C₂×D₄	semidirect
470. D₄×D₁₃	C₂×D₄	semidirect
481. C₂×D₅₂	C₂×D₄	semidirect
487. C₂×D₅₂	C₂⁴	semidirect
488. C₂×D₅₂	C₂⁴	semidirect
489. C₂×D₅₂	C₂⁴	semidirect
498. C₂×C₄×D₁₃	C₂×D₄	semidirect
507. C₂×C₄×D₁₃	C₂⁴	semidirect
508. C₂×C₄×D₁₃	C₂⁴	semidirect
509. C₂×C₄×D₁₃	C₂⁴	semidirect
510. C₂×C₄×D₁₃	C₂⁴	semidirect
511. C₂×Dic₂₆	C₂⁴	semidirect
512. C₂×Dic₂₆	C₂⁴	semidirect
513. C₁₃×C₄⋊C₄	C₂⁴	semidirect
514. C₁₃×C₄⋊C₄	C₂⁴	semidirect
517. C₁₃×C₂²⋊C₄	C₂⁴	semidirect
518. C₁₃×C₂²⋊C₄	C₂⁴	semidirect
519. C₁₃×C₂²⋊C₄	C₂⁴	semidirect
520. C₄²×C₁₃	C₂⁴	semidirect
523. C₂²⋊Dic₁₃	C₂⁴	semidirect
524. C₂²⋊Dic₁₃	C₂⁴	semidirect
525. C₂²⋊Dic₁₃	C₂⁴	semidirect
529. #6103	C₂⁴	semidirect
530. #6103	C₂⁴	semidirect
531. #6103	C₂⁴	semidirect
532. #6103	C₂⁴	semidirect
533. #6103	C₂⁴	semidirect
534. C₄⋊Dic₁₃	C₂⁴	semidirect
535. C₄⋊Dic₁₃	C₂⁴	semidirect
536. #6101	C₂⁴	semidirect
537. #6101	C₂⁴	semidirect
538. #6101	C₂⁴	semidirect
539. C₄×Dic₁₃	C₂⁴	semidirect
540. C₄×Dic₁₃	C₂⁴	semidirect
552. #3484	D₁₃	direct (N × H)
571. C₂³×C₁₃	C₂²×D₄	semidirect
620. C₂²×D₁₃	C₂²×D₄	semidirect
621. C₂²×D₁₃	C₂²×D₄	semidirect
622. C₂²×D₁₃	H(5,𝔽₂)	semidirect
637. D₄×C₁₃	C₂²×D₄	semidirect
643. C₂×C₄×C₁₃	C₂²×D₄	semidirect
660. C₂²⋊D₁₃	C₂²×D₄	semidirect
666. C₂×Dic₁₃	C₂²×D₄	semidirect
678. D₅₂	C₂²×D₄	semidirect
690. C₄×D₁₃	C₂²×D₄	semidirect
700. C₂×H(5,𝔽₂)	C₂×D₁₃	semidirect
717. C₂³×D₄	C₂×D₁₃	semidirect
730. #546	C₂×D₁₃	semidirect
742. D₄²	C₂×D₁₃	semidirect
750. #535	C₂×D₁₃	semidirect
759. #534	C₂×D₁₃	semidirect
770. #525	C₂×D₁₃	semidirect
789. C₂×#120	C₂×D₁₃	semidirect
794. #518	C₂×D₁₃	semidirect
815. C₂²×C₁₃	C₂×H(5,𝔽₂)	semidirect
845. C₂×D₁₃	C₂×H(5,𝔽₂)	semidirect
865. C₂⁵	C₂²×D₁₃	semidirect
884. C₂×#41	C₂²×D₁₃	semidirect
885. C₂×#41	C₂²×D₁₃	semidirect
940. C₂²×D₄	C₂²×D₁₃	semidirect
941. C₂²×D₄	C₂²×D₁₃	semidirect
942. C₂²×D₄	C₂²×D₁₃	semidirect
943. C₂²×D₄	C₂²×D₁₃	semidirect
944. C₂²×D₄	C₂²×D₁₃	semidirect
945. C₂²×D₄	C₂²×D₁₃	semidirect
957. C₂³×C₄	C₂²×D₁₃	semidirect
962. #127	C₂²×D₁₃	semidirect
967. #124	C₂²×D₁₃	semidirect
978. #123	C₂²×D₁₃	semidirect
979. #123	C₂²×D₁₃	semidirect
985. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1003. #121	C₂²×D₁₃	semidirect
1004. #121	C₂²×D₁₃	semidirect
1005. #121	C₂²×D₁₃	semidirect
1028. #120	C₂²×D₁₃	semidirect
1029. #120	C₂²×D₁₃	semidirect
1030. #120	C₂²×D₁₃	semidirect
1031. #120	C₂²×D₁₃	semidirect
1044. C₄×D₄	C₂²×D₁₃	semidirect
1045. C₄×D₄	C₂²×D₁₃	semidirect
1050. #117	C₂²×D₁₃	semidirect
1067. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1068. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1082. D₁₃	#3484	direct (N × H)
1126. C₂⁴	C₂³×D₁₃	semidirect
1142. C₂×Q₈	C₂³×D₁₃	semidirect
1208. C₂×D₄	D₄×D₁₃	semidirect
1214. C₂×D₄	C₂³×D₁₃	semidirect
1215. C₂×D₄	C₂³×D₁₃	semidirect
1216. C₂×D₄	C₂³×D₁₃	semidirect
1249. C₂²×C₄	C₂³×D₁₃	semidirect
1250. C₂²×C₄	C₂³×D₁₃	semidirect
1251. C₂²×C₄	C₂³×D₁₃	semidirect
1257. C₄⋊C₄	C₂³×D₁₃	semidirect
1258. C₄⋊C₄	C₂³×D₁₃	semidirect
1274. C₂²⋊C₄	C₂³×D₁₃	semidirect
1275. C₂²⋊C₄	C₂³×D₁₃	semidirect
1276. C₂²⋊C₄	C₂³×D₁₃	semidirect
1279. C₄²	C₂³×D₁₃	semidirect
1280. C₁₃	C₂×#3484	semidirect
1344. C₂³	C₂×D₄×D₁₃	semidirect
1381. D₄	C₂×D₄×D₁₃	semidirect
1409. C₂×C₄	C₂×D₄×D₁₃	semidirect
1458. C₂²	D₁₃×H(5,𝔽₂)	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₁₃×H(5,𝔽₂)	2
C₂³×D₄×D₁₃	2
#13128472	2
#13128471	2
#13128470	2
#13128469	2
#13128468	2
#13128467	2
#13128466	2
#13128465	2
#13128464	2
D₁₃×#546	2
D₄²×D₁₃	2
D₁₃×#535	2
D₁₃×#534	2
D₁₃×#525	2
C₂×D₁₃×#120	2
D₁₃×#518	2
C₁₃×#3484	2
C₂×#3484	13

Subgroups — D13×#3484 #16770794

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3484 #16770794