Subgroups — D₁₃×#3537 #16770148

Order 3328.

8890 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129075	C₂	1	1	yes	maximal, characteristic, complemented
2	#13129074	C₂	1	2	yes	maximal, complemented
3	#13129073	C₂	1	4	yes	maximal, complemented
4	#13129072	C₂	1	4	yes	maximal, complemented
5	#13129071	C₂	1	2	yes	maximal, complemented
6	#13129070	C₂	1	4	yes	maximal, complemented
7	#13129069	C₂	1	2	yes	maximal, complemented
8	#13129068	C₂	1	4	yes	maximal, complemented
9	#13129067	C₂	1	4	yes	maximal, complemented
10	#13129066	C₂	1	4	yes	maximal, complemented
11	D₁₃×#560	C₂	1	4	yes	maximal, complemented
12	D₁₃×#553	C₂	1	4	yes	maximal, complemented
13	D₄²×D₁₃	C₂	1	4	yes	maximal, complemented
14	D₄²×D₁₃	C₂	1	4	yes	maximal, complemented
15	D₁₃×#540	C₂	1	2	yes	maximal, complemented
16	D₁₃×#538	C₂	1	4	yes	maximal, complemented
17	D₁₃×#535	C₂	1	2	yes	maximal, complemented
18	D₁₃×#534	C₂	1	4	yes	maximal, complemented
19	D₁₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×D₁₃×#121	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3537	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic, complemented
23	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
24	C₂²×D₄×D₁₃	C₂²	1	4	yes	complemented
25	C₂²×D₄×D₁₃	C₂²	1	8	yes	complemented
26	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
27	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#560	C₂²	1	4	yes	complemented
29	C₁₃×#553	C₂²	1	4	yes	complemented
30	D₄²×C₁₃	C₂²	1	4	yes	complemented
31	D₄²×C₁₃	C₂²	1	4	yes	complemented
32	C₁₃×#540	C₂²	1	2	yes	complemented
33	C₁₃×#538	C₂²	1	4	yes	complemented
34	C₁₃×#535	C₂²	1	2	yes	complemented
35	C₁₃×#534	C₂²	1	4	yes	complemented
36	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
38	#11719535	C₂²	1	2	yes	complemented
39	#11719533	C₂²	1	1	yes	characteristic, complemented
40	#11719510	C₂²	1	2	yes	complemented
41	#11719509	C₂²	1	8	yes	complemented
42	C₂×#88193	C₂²	1	4	yes	complemented
43	D₄×C₂²⋊D₁₃	C₂²	1	8	yes	complemented
44	D₄×C₂²⋊D₁₃	C₂²	1	8	yes	complemented
45	D₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
46	D₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
47	D₄×C₂²⋊D₁₃	C₂²	1	8	yes	complemented
48	C₂×#88192	C₂²	1	2	yes	complemented
49	#11719496	C₂²	1	1	yes	characteristic, complemented
50	C₂×#88184	C₂²	1	2	yes	complemented
51	#11719425	C₂²	1	4	yes	complemented
52	#11719424	C₂²	1	2	yes	complemented
53	#11719422	C₂²	1	4	yes	complemented
54	#11719422	C₂²	1	4	yes	complemented
55	#11719420	C₂²	1	4	yes	complemented
56	D₁₃×#127	C₂²	1	2	yes	complemented
57	D₁₃×#127	C₂²	1	4	yes	complemented
58	#11719416	C₂²	1	8	yes	complemented
59	#11719414	C₂²	1	8	yes	complemented
60	#11719409	C₂²	1	8	yes	complemented
61	D₁₃×#126	C₂²	1	8	yes	complemented
62	#11719403	C₂²	1	2	yes	complemented
63	#11719400	C₂²	1	4	yes	complemented
64	D₁₃×#125	C₂²	1	2	yes	complemented
65	#11719383	C₂²	1	8	yes	complemented
66	#11719379	C₂²	1	4	yes	complemented
67	D₁₃×#124	C₂²	1	4	yes	complemented
68	#11719371	C₂²	1	4	yes	complemented
69	#11719371	C₂²	1	8	yes	complemented
70	#11719368	C₂²	1	8	yes	complemented
71	#11719366	C₂²	1	8	yes	complemented
72	#11719362	C₂²	1	8	yes	complemented
73	#11719361	C₂²	1	2	yes	complemented
74	#11719358	C₂²	1	8	yes	complemented
75	#11719358	C₂²	1	8	yes	complemented
76	D₁₃×#123	C₂²	1	2	yes	complemented
77	D₁₃×#123	C₂²	1	8	yes	complemented
78	D₁₃×#123	C₂²	1	8	yes	complemented
79	#11719349	C₂²	1	4	yes	complemented
80	#11719332	C₂²	1	2	yes	complemented
81	D₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
82	#11719325	C₂²	1	8	yes	complemented
83	#11719325	C₂²	1	8	yes	complemented
84	#11719325	C₂²	1	8	yes	complemented
85	#11719324	C₂²	1	4	yes	complemented
86	#11719323	C₂²	1	4	yes	complemented
87	#11719322	C₂²	1	4	yes	complemented
88	#11719320	C₂²	1	8	yes	complemented
89	#11719319	C₂²	1	4	yes	complemented
90	#11719318	C₂²	1	8	yes	complemented
91	#11719314	C₂²	1	8	yes	complemented
92	#11719314	C₂²	1	4	yes	complemented
93	#11719314	C₂²	1	8	yes	complemented
94	#11719314	C₂²	1	4	yes	complemented
95	#11719314	C₂²	1	8	yes	complemented
96	#11719312	C₂²	1	4	yes	complemented
97	#11719312	C₂²	1	4	yes	complemented
98	#11719311	C₂²	1	2	yes	complemented
99	#11719310	C₂²	1	8	yes	complemented
100	#11719310	C₂²	1	4	yes	complemented
101	#11719310	C₂²	1	4	yes	complemented
102	D₁₃×#121	C₂²	1	4	yes	complemented
103	D₁₃×#121	C₂²	1	8	yes	complemented
104	D₁₃×#121	C₂²	1	4	yes	complemented
105	D₁₃×#121	C₂²	1	8	yes	complemented
106	D₁₃×#121	C₂²	1	8	yes	complemented
107	D₁₃×#121	C₂²	1	4	yes	complemented
108	D₁₃×#121	C₂²	1	4	yes	complemented
109	D₁₃×#121	C₂²	1	4	yes	complemented
110	D₁₃×#121	C₂²	1	2	yes	complemented
111	D₁₃×#121	C₂²	1	4	yes	complemented
112	D₁₃×#121	C₂²	1	4	yes	complemented
113	D₁₃×#121	C₂²	1	4	yes	complemented
114	D₁₃×#121	C₂²	1	4	yes	complemented
115	#11719306	C₂²	1	8	yes	complemented
116	#11719300	C₂²	1	4	yes	complemented
117	#11719300	C₂²	1	8	yes	complemented
118	#11719298	C₂²	1	8	yes	complemented
119	#11719297	C₂²	1	4	yes	complemented
120	#11719297	C₂²	1	4	yes	complemented
121	#11719295	C₂²	1	8	yes	complemented
122	#11719295	C₂²	1	4	yes	complemented
123	#11719295	C₂²	1	8	yes	complemented
124	#11719295	C₂²	1	4	yes	complemented
125	#11719295	C₂²	1	8	yes	complemented
126	#11719294	C₂²	1	8	yes	complemented
127	#11719294	C₂²	1	8	yes	complemented
128	D₁₃×#120	C₂²	1	2	yes	complemented
129	D₁₃×#120	C₂²	1	8	yes	complemented
130	D₁₃×#120	C₂²	1	8	yes	complemented
131	D₁₃×#120	C₂²	1	4	yes	complemented
132	D₁₃×#120	C₂²	1	4	yes	complemented
133	#11719291	C₂²	1	2	yes	complemented
134	#11719270	C₂²	1	4	yes	complemented
135	#11719267	C₂²	1	4	yes	complemented
136	#11719265	C₂²	1	8	yes	complemented
137	#11719263	C₂²	1	4	yes	complemented
138	D₄×D₅₂	C₂²	1	8	yes	complemented
139	D₄×D₅₂	C₂²	1	4	yes	complemented
140	D₄×D₅₂	C₂²	1	4	yes	complemented
141	#11719252	C₂²	1	4	yes	complemented
142	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
143	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
144	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
145	#11719245	C₂²	1	8	yes	complemented
146	#11719240	C₂²	1	2	yes	complemented
147	#11719235	C₂²	1	4	yes	complemented
148	#11719230	C₂²	1	2	yes	complemented
149	#11719229	C₂²	1	1	yes	characteristic, complemented
150	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
151	D₁₃×#117	C₂²	1	2	yes	complemented
152	#11719219	C₂²	1	4	yes	complemented
153	C₂×#88149	C₂²	1	2	yes	complemented
154	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
155	#11719199	C₂²	1	4	yes	complemented
156	#11719198	C₂²	1	4	yes	complemented
157	C₂×#88138	C₂²	1	4	yes	complemented
158	C₂×C₂²⋊C₄×D₁₃	C₂²	1	4	yes	complemented
159	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
160	C₂⁴×D₁₃	C₂³	1	4	yes	—
161	C₂⁴×D₁₃	C₂³	1	4	yes	—
162	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic, complemented
163	C₂²×D₄×C₁₃	C₂³	1	2	yes	complemented
164	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
165	C₂²×D₄×C₁₃	C₂³	1	8	yes	complemented
166	C₂²×D₄×C₁₃	C₂³	1	2	yes	complemented
167	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
168	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
169	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
170	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
171	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
172	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
173	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
174	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
175	#41×D₁₃	—	4	4	no	—
176	C₂×#6131	C₂³	1	1	yes	characteristic, complemented
177	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
178	C₂×#6129	C₂³	1	2	yes	complemented
179	C₂×#6129	C₂³	1	1	yes	characteristic, complemented
180	C₂×D₄×D₁₃	—	4	8	no	—
181	C₂×D₄×D₁₃	—	4	8	no	—
182	C₂×D₄×D₁₃	—	4	16	no	—
183	C₂×D₄×D₁₃	—	4	32	no	—
184	C₂×D₄×D₁₃	C₂³	1	4	yes	—
185	C₂×D₄×D₁₃	C₂³	1	8	yes	—
186	C₂×D₄×D₁₃	C₂³	1	4	yes	—
187	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
188	C₂×D₄×D₁₃	C₂³	1	2	yes	—
189	C₂×D₄×D₁₃	C₂³	1	4	yes	—
190	C₂×D₄×D₁₃	C₂³	1	8	yes	—
191	C₂×D₄×D₁₃	C₂³	1	8	yes	—
192	C₂×D₄×D₁₃	C₂³	1	4	yes	—
193	C₂×D₄×D₁₃	C₂³	1	8	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	8	yes	complemented
197	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
198	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
199	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
200	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
201	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
202	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
203	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
204	C₂×#6127	C₂³	1	1	yes	characteristic, complemented
205	C₂×#6127	C₂³	1	2	yes	complemented
206	C₂²×D₅₂	C₂³	1	4	yes	complemented
207	C₂²×D₅₂	C₂³	1	2	yes	complemented
208	C₂²×D₅₂	C₂³	1	2	yes	complemented
209	C₂²×D₅₂	C₂³	1	8	yes	complemented
210	C₂²×C₄×D₁₃	—	4	4	no	—
211	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
212	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
213	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
215	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
216	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
217	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
219	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
220	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
221	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
222	C₁₃×#127	C₂³	1	2	yes	complemented
223	C₁₃×#127	C₂³	1	4	yes	complemented
224	C₁₃×#126	C₂³	1	8	yes	complemented
225	C₁₃×#125	C₂³	1	2	yes	complemented
226	C₁₃×#124	C₂³	1	4	yes	complemented
227	C₁₃×#123	C₂³	1	2	yes	complemented
228	C₁₃×#123	C₂³	1	8	yes	complemented
229	C₁₃×#123	C₂³	1	8	yes	complemented
230	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
231	C₁₃×#121	C₂³	1	4	yes	complemented
232	C₁₃×#121	C₂³	1	4	yes	complemented
233	C₁₃×#121	C₂³	1	4	yes	complemented
234	C₁₃×#121	C₂³	1	4	yes	complemented
235	C₁₃×#121	C₂³	1	2	yes	complemented
236	C₁₃×#121	C₂³	1	8	yes	complemented
237	C₁₃×#121	C₂³	1	4	yes	complemented
238	C₁₃×#121	C₂³	1	8	yes	complemented
239	C₁₃×#121	C₂³	1	8	yes	complemented
240	C₁₃×#120	C₂³	1	2	yes	complemented
241	C₁₃×#120	C₂³	1	4	yes	complemented
242	C₁₃×#120	C₂³	1	8	yes	complemented
243	C₁₃×#120	C₂³	1	8	yes	complemented
244	C₁₃×#120	C₂³	1	4	yes	complemented
245	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
246	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
247	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
248	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
249	C₁₃×#117	C₂³	1	2	yes	complemented
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
251	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
252	#88207	C₂³	1	8	yes	complemented
253	#88207	C₂³	1	2	yes	complemented
254	#88207	C₂³	1	8	yes	complemented
255	#88207	C₂³	1	4	yes	complemented
256	#88207	C₂³	1	4	yes	complemented
257	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	complemented
258	#88201	C₂³	1	4	yes	complemented
259	#88200	C₂³	1	2	yes	complemented
260	#88194	C₂³	1	4	yes	complemented
261	#88194	C₂³	1	8	yes	complemented
262	#88194	C₂³	1	8	yes	complemented
263	#88194	C₂³	1	8	yes	complemented
264	#88194	C₂³	1	4	yes	complemented
265	#88194	C₂³	1	4	yes	complemented
266	#88193	C₂³	1	8	yes	complemented
267	#88193	C₂³	1	8	yes	complemented
268	#88193	C₂³	1	8	yes	complemented
269	#88193	C₂³	1	8	yes	complemented
270	#88193	C₂³	1	8	yes	complemented
271	#88193	C₂³	1	8	yes	complemented
272	#88193	C₂³	1	8	yes	complemented
273	#88193	C₂³	1	8	yes	complemented
274	#88193	C₂³	1	8	yes	complemented
275	#88193	C₂³	1	8	yes	complemented
276	#88193	C₂³	1	8	yes	complemented
277	#88193	C₂³	1	4	yes	complemented
278	#88192	C₂³	1	4	yes	complemented
279	#88192	C₂³	1	4	yes	complemented
280	#88192	C₂³	1	4	yes	complemented
281	#88192	C₂³	1	4	yes	complemented
282	#88192	C₂³	1	4	yes	complemented
283	#88192	C₂³	1	8	yes	complemented
284	#88192	C₂³	1	8	yes	complemented
285	#88192	C₂³	1	8	yes	complemented
286	#88192	C₂³	1	2	yes	complemented
287	#88191	C₂³	1	8	yes	complemented
288	#88191	C₂³	1	4	yes	complemented
289	#88191	C₂³	1	4	yes	complemented
290	#88191	C₂³	1	8	yes	complemented
291	#88191	C₂³	1	8	yes	complemented
292	#88191	C₂³	1	8	yes	complemented
293	#88191	C₂³	1	8	yes	complemented
294	#88191	C₂³	1	8	yes	complemented
295	#88191	C₂³	1	8	yes	complemented
296	#88191	C₂³	1	8	yes	complemented
297	#88191	C₂³	1	2	yes	complemented
298	#88191	C₂³	1	4	yes	complemented
299	#88190	C₂³	1	4	yes	complemented
300	#88189	C₂³	1	8	yes	complemented
301	#88189	C₂³	1	2	yes	complemented
302	#88189	C₂³	1	8	yes	complemented
303	D₄×Dic₁₃	C₂³	1	4	yes	complemented
304	D₄×Dic₁₃	C₂³	1	4	yes	complemented
305	D₄×Dic₁₃	C₂³	1	8	yes	complemented
306	#88184	C₂³	1	2	yes	complemented
307	#88184	C₂³	1	4	yes	complemented
308	#88184	C₂³	1	8	yes	complemented
309	#88184	C₂³	1	4	yes	complemented
310	#88184	C₂³	1	4	yes	complemented
311	#88184	C₂³	1	4	yes	complemented
312	#88184	C₂³	1	4	yes	complemented
313	#88184	C₂³	1	8	yes	complemented
314	#88184	C₂³	1	8	yes	complemented
315	#88183	C₂³	1	2	yes	complemented
316	#88183	C₂³	1	8	yes	complemented
317	#88183	C₂³	1	8	yes	complemented
318	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
319	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
320	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
321	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
322	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
323	C₂×#6103	C₂³	1	4	yes	complemented
324	C₂×#6103	C₂³	1	4	yes	complemented
325	#88180	C₂³	1	1	yes	characteristic, complemented
326	#88180	C₂³	1	2	yes	complemented
327	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
328	#88178	C₂³	1	2	yes	complemented
329	C₂×#6101	C₂³	1	4	yes	complemented
330	#88152	C₂³	1	8	yes	complemented
331	#88152	C₂³	1	8	yes	complemented
332	#88152	C₂³	1	8	yes	complemented
333	#88151	C₂³	1	2	yes	complemented
334	#88150	C₂³	1	4	yes	complemented
335	#88149	C₂³	1	4	yes	complemented
336	#88149	C₂³	1	4	yes	complemented
337	#88149	C₂³	1	4	yes	complemented
338	#88149	C₂³	1	4	yes	complemented
339	#88149	C₂³	1	4	yes	complemented
340	#88149	C₂³	1	2	yes	complemented
341	#88149	C₂³	1	8	yes	complemented
342	#88149	C₂³	1	8	yes	complemented
343	#88149	C₂³	1	8	yes	complemented
344	#88148	C₂³	1	8	yes	complemented
345	#88148	C₂³	1	8	yes	complemented
346	#88148	C₂³	1	8	yes	complemented
347	#88148	C₂³	1	4	yes	complemented
348	#88148	C₂³	1	8	yes	complemented
349	#88147	C₂³	1	4	yes	complemented
350	#88147	C₂³	1	4	yes	complemented
351	#88147	C₂³	1	8	yes	complemented
352	#88146	C₂³	1	4	yes	complemented
353	#88146	C₂³	1	2	yes	complemented
354	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
355	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
356	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
357	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
358	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
359	C₄⋊C₄×D₁₃	C₂³	1	4	yes	complemented
360	C₄⋊C₄×D₁₃	C₂³	1	4	yes	complemented
361	#88144	C₂³	1	4	yes	complemented
362	#88143	C₂³	1	8	yes	complemented
363	#88140	C₂³	1	8	yes	complemented
364	#88140	C₂³	1	8	yes	complemented
365	#88140	C₂³	1	2	yes	complemented
366	#88139	C₂³	1	8	yes	complemented
367	#88139	C₂³	1	8	yes	complemented
368	#88138	C₂³	1	8	yes	complemented
369	#88138	C₂³	1	8	yes	complemented
370	#88138	C₂³	1	8	yes	complemented
371	#88138	C₂³	1	8	yes	complemented
372	#88138	C₂³	1	8	yes	complemented
373	#88138	C₂³	1	8	yes	complemented
374	#88138	C₂³	1	8	yes	complemented
375	#88138	C₂³	1	8	yes	complemented
376	#88138	C₂³	1	4	yes	complemented
377	#88138	C₂³	1	8	yes	complemented
378	#88138	C₂³	1	8	yes	complemented
379	#88138	C₂³	1	8	yes	complemented
380	#88137	C₂³	1	8	yes	complemented
381	#88137	C₂³	1	8	yes	complemented
382	#88137	C₂³	1	4	yes	complemented
383	#88137	C₂³	1	8	yes	complemented
384	#88137	C₂³	1	8	yes	complemented
385	#88136	C₂³	1	8	yes	complemented
386	#88136	C₂³	1	8	yes	complemented
387	#88136	C₂³	1	2	yes	complemented
388	#88136	C₂³	1	4	yes	complemented
389	#88136	C₂³	1	4	yes	complemented
390	#88136	C₂³	1	4	yes	complemented
391	#88136	C₂³	1	8	yes	complemented
392	#88136	C₂³	1	8	yes	complemented
393	#88136	C₂³	1	8	yes	complemented
394	#88136	C₂³	1	8	yes	complemented
395	#88136	C₂³	1	8	yes	complemented
396	#88136	C₂³	1	8	yes	complemented
397	#88135	C₂³	1	4	yes	complemented
398	#88135	C₂³	1	8	yes	complemented
399	#88135	C₂³	1	8	yes	complemented
400	#88135	C₂³	1	4	yes	complemented
401	#88135	C₂³	1	8	yes	complemented
402	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
403	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
404	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
405	C₂²⋊C₄×D₁₃	C₂³	1	2	yes	—
406	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
407	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
408	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
409	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
410	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
411	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
412	#88133	C₂³	1	8	yes	complemented
413	#88133	C₂³	1	8	yes	complemented
414	#88133	C₂³	1	8	yes	complemented
415	#88132	C₂³	1	4	yes	complemented
416	#88131	C₂³	1	2	yes	complemented
417	#88131	C₂³	1	4	yes	complemented
418	#88130	C₂³	1	8	yes	complemented
419	#88129	C₂³	1	4	yes	complemented
420	#88128	C₂³	1	4	yes	complemented
421	#88128	C₂³	1	2	yes	complemented
422	C₄×D₅₂	C₂³	1	4	yes	complemented
423	C₄×D₅₂	C₂³	1	8	yes	complemented
424	C₄×D₅₂	C₂³	1	4	yes	complemented
425	#88126	C₂³	1	2	yes	complemented
426	#88126	C₂³	1	4	yes	complemented
427	C₄²×D₁₃	C₂³	1	2	yes	—
428	C₄²×D₁₃	C₂³	1	4	yes	—
429	#88124	C₂³	1	2	yes	complemented
430	C₂×#3537	—	13	1	no	maximal, Sylow
431	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
432	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
433	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
434	C₂³×D₁₃	—	2	8	no	—
435	C₂³×D₁₃	—	2	16	no	—
436	C₂³×D₁₃	—	4	2	no	—
437	C₂³×D₁₃	—	4	8	no	—
438	C₂³×D₁₃	—	4	8	no	—
439	C₂³×D₁₃	—	4	8	no	—
440	C₂³×D₁₃	—	4	16	no	—
441	C₂³×D₁₃	C₂⁴	1	2	yes	—
442	C₂³×D₁₃	C₂⁴	1	8	yes	—
443	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
444	C₂³×D₁₃	C₂⁴	1	2	yes	—
445	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
446	C₂³×D₁₃	C₂⁴	1	2	yes	—
447	C₂³×D₁₃	C₂⁴	1	8	yes	—
448	C₂³×D₁₃	C₂⁴	1	4	yes	—
449	C₂³×D₁₃	C₂⁴	1	8	yes	—
450	C₂³×D₁₃	C₂⁴	1	4	yes	—
451	C₁₃×#41	—	4	2	no	—
452	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₂×D₄×C₁₃	—	4	4	no	—
454	C₂×D₄×C₁₃	—	4	4	no	—
455	C₂×D₄×C₁₃	—	4	8	no	—
456	C₂×D₄×C₁₃	—	4	16	no	—
457	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
458	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
459	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
460	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
461	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
462	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
463	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
464	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
465	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
466	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
467	C₂²×C₄×C₁₃	—	4	2	no	—
468	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
469	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
470	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
472	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
473	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
474	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
475	C₂×C₂²⋊D₁₃	—	4	8	no	—
476	C₂×C₂²⋊D₁₃	—	4	8	no	—
477	C₂×C₂²⋊D₁₃	—	4	8	no	—
478	C₂×C₂²⋊D₁₃	—	4	16	no	—
479	C₂×C₂²⋊D₁₃	—	4	8	no	—
480	C₂×C₂²⋊D₁₃	—	4	16	no	—
481	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
482	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
483	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
484	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
485	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
486	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
487	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
488	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
489	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
490	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
491	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
492	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
493	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
494	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
495	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
496	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
497	C₂²×Dic₁₃	—	4	2	no	—
498	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
499	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
500	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
501	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
502	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
503	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
504	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
505	#6131	—	4	2	no	—
506	Q₈×D₁₃	—	4	2	no	—
507	#6129	—	4	2	no	—
508	#6129	—	4	4	no	—
509	D₄×D₁₃	—	2	32	no	—
510	D₄×D₁₃	—	2	16	no	—
511	D₄×D₁₃	—	2	16	no	—
512	D₄×D₁₃	—	4	8	no	—
513	D₄×D₁₃	—	4	8	no	—
514	D₄×D₁₃	—	4	8	no	—
515	D₄×D₁₃	—	4	8	no	—
516	D₄×D₁₃	—	4	8	no	—
517	D₄×D₁₃	—	4	8	no	—
518	D₄×D₁₃	—	4	16	no	—
519	D₄×D₁₃	—	4	16	no	—
520	D₄×D₁₃	—	4	16	no	—
521	D₄×D₁₃	—	4	2	no	—
522	D₄×D₁₃	—	4	4	no	—
523	D₄×D₁₃	—	4	16	no	—
524	D₄×D₁₃	—	4	16	no	—
525	D₄×D₁₃	—	4	16	no	—
526	D₄×D₁₃	—	4	16	no	—
527	D₄×D₁₃	—	4	16	no	—
528	D₄×D₁₃	—	4	16	no	—
529	#6127	—	4	4	no	—
530	#6127	—	4	2	no	—
531	C₂×D₅₂	—	4	4	no	—
532	C₂×D₅₂	—	4	4	no	—
533	C₂×D₅₂	—	4	8	no	—
534	C₂×D₅₂	—	4	16	no	—
535	C₂×D₅₂	C₂⁴	1	4	yes	—
536	C₂×D₅₂	C₂⁴	1	4	yes	—
537	C₂×D₅₂	C₂⁴	1	8	yes	—
538	C₂×D₅₂	C₂⁴	1	2	yes	—
539	C₂×D₅₂	C₂⁴	1	4	yes	—
540	C₂×D₅₂	C₂⁴	1	8	yes	—
541	C₂×D₅₂	C₂⁴	1	8	yes	—
542	C₂×D₅₂	C₂⁴	1	8	yes	—
543	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
544	C₂×D₅₂	C₂⁴	1	4	yes	—
545	C₂×C₄×D₁₃	—	2	8	no	—
546	C₂×C₄×D₁₃	—	2	4	no	—
547	C₂×C₄×D₁₃	—	2	8	no	—
548	C₂×C₄×D₁₃	—	4	2	no	—
549	C₂×C₄×D₁₃	—	4	4	no	—
550	C₂×C₄×D₁₃	—	4	4	no	—
551	C₂×C₄×D₁₃	—	4	2	no	—
552	C₂×C₄×D₁₃	—	4	2	no	—
553	C₂×C₄×D₁₃	—	4	4	no	—
554	C₂×C₄×D₁₃	—	4	8	no	—
555	C₂×C₄×D₁₃	—	4	16	no	—
556	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
557	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
558	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
559	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
560	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
561	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
562	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
563	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
564	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
565	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
566	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
567	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
568	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
569	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
570	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
571	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
572	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
573	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
574	C₂×Dic₂₆	C₂⁴	1	2	yes	—
575	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
576	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
577	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
578	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
579	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
580	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
581	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
582	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
583	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
584	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
585	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
586	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
587	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
588	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
589	C₄²×C₁₃	C₂⁴	1	2	yes	—
590	C₄²×C₁₃	C₂⁴	1	4	yes	—
591	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
592	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
593	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
594	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
595	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
596	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
597	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
598	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
599	#6103	C₂⁴	1	8	yes	—
600	#6103	C₂⁴	1	4	yes	—
601	#6103	C₂⁴	1	4	yes	—
602	#6103	C₂⁴	1	8	yes	—
603	#6103	C₂⁴	1	4	yes	—
604	#6103	C₂⁴	1	8	yes	—
605	#6103	C₂⁴	1	4	yes	—
606	#6103	C₂⁴	1	8	yes	—
607	#6103	C₂⁴	1	8	yes	—
608	#6103	C₂⁴	1	8	yes	—
609	#6103	C₂⁴	1	8	yes	—
610	#6103	C₂⁴	1	8	yes	—
611	#6103	C₂⁴	1	8	yes	—
612	#6103	C₂⁴	1	4	yes	—
613	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
614	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
615	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
616	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
617	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
618	#6101	C₂⁴	1	8	yes	—
619	#6101	C₂⁴	1	4	yes	—
620	#6101	C₂⁴	1	8	yes	—
621	#6101	C₂⁴	1	4	yes	—
622	#6101	C₂⁴	1	8	yes	—
623	#6101	C₂⁴	1	8	yes	—
624	#6101	C₂⁴	1	4	yes	—
625	C₄×Dic₁₃	C₂⁴	1	4	yes	—
626	C₄×Dic₁₃	C₂⁴	1	2	yes	—
627	C₄×Dic₁₃	C₂⁴	1	8	yes	—
628	C₄×Dic₁₃	C₂⁴	1	4	yes	—
629	#3537	—	13	4	no	—
630	#3537	—	13	4	no	—
631	#3537	—	13	4	no	—
632	#3537	—	13	4	no	—
633	#3537	—	13	2	no	—
634	#3537	—	13	4	no	—
635	#3537	—	13	2	no	—
636	#3537	—	13	4	no	—
637	#3537	—	13	1	no	—
638	#3537	—	13	2	no	—
639	#3537	D₁₃	1	1	yes	characteristic, direct product factor
640	C₂×#560	—	13	4	no	—
641	C₂×#553	—	13	4	no	—
642	C₂×D₄²	—	13	4	no	—
643	C₂×D₄²	—	13	4	no	—
644	C₂×#540	—	13	2	no	—
645	C₂×#538	—	13	4	no	—
646	C₂×#535	—	13	2	no	—
647	C₂×#534	—	13	4	no	—
648	C₂×#525	—	13	1	no	—
649	C₂²×#121	—	13	2	no	—
650	C₂³×C₁₃	—	2	4	no	—
651	C₂³×C₁₃	—	2	8	no	—
652	C₂³×C₁₃	—	4	1	no	—
653	C₂³×C₁₃	—	4	4	no	—
654	C₂³×C₁₃	—	4	4	no	—
655	C₂³×C₁₃	—	4	4	no	—
656	C₂³×C₁₃	—	4	8	no	—
657	C₂³×C₁₃	C₂⁵	1	2	yes	—
658	C₂³×C₁₃	C₂⁵	1	8	yes	—
659	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
660	C₂³×C₁₃	C₂⁵	1	2	yes	—
661	C₂²×D₁₃	—	2	4	no	—
662	C₂²×D₁₃	—	2	4	no	—
663	C₂²×D₁₃	—	2	4	no	—
664	C₂²×D₁₃	—	2	8	no	—
665	C₂²×D₁₃	—	2	2	no	—
666	C₂²×D₁₃	—	2	4	no	—
667	C₂²×D₁₃	—	2	16	no	—
668	C₂²×D₁₃	—	2	4	no	—
669	C₂²×D₁₃	—	2	8	no	—
670	C₂²×D₁₃	—	2	16	no	—
671	C₂²×D₁₃	—	2	16	no	—
672	C₂²×D₁₃	—	2	4	no	—
673	C₂²×D₁₃	—	2	4	no	—
674	C₂²×D₁₃	—	2	16	no	—
675	C₂²×D₁₃	—	4	1	no	—
676	C₂²×D₁₃	—	4	2	no	—
677	C₂²×D₁₃	—	4	16	no	—
678	C₂²×D₁₃	—	4	4	no	—
679	C₂²×D₁₃	—	4	4	no	—
680	C₂²×D₁₃	—	4	4	no	—
681	C₂²×D₁₃	—	4	8	no	—
682	C₂²×D₁₃	—	4	8	no	—
683	C₂²×D₁₃	—	4	8	no	—
684	C₂²×D₁₃	—	4	8	no	—
685	C₂²×D₁₃	—	4	8	no	—
686	C₂²×D₁₃	—	4	8	no	—
687	C₂²×D₁₃	—	8	32	no	—
688	C₂²×D₁₃	—	8	32	no	—
689	C₂²×D₁₃	H(5,𝔽₂)	1	8	yes	—
690	C₂²×D₁₃	C₂⁵	1	2	yes	—
691	C₂²×D₁₃	C₂⁵	1	8	yes	—
692	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
693	C₂²×D₁₃	C₂⁵	1	2	yes	—
694	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
695	Q₈×C₁₃	—	4	1	no	—
696	D₄×C₁₃	—	2	16	no	—
697	D₄×C₁₃	—	2	8	no	—
698	D₄×C₁₃	—	2	8	no	—
699	D₄×C₁₃	—	4	4	no	—
700	D₄×C₁₃	—	4	4	no	—
701	D₄×C₁₃	—	4	8	no	—
702	D₄×C₁₃	—	4	8	no	—
703	D₄×C₁₃	—	4	8	no	—
704	D₄×C₁₃	—	4	1	no	—
705	D₄×C₁₃	—	4	2	no	—
706	C₂×C₄×C₁₃	—	2	4	no	—
707	C₂×C₄×C₁₃	—	2	2	no	—
708	C₂×C₄×C₁₃	—	2	4	no	—
709	C₂×C₄×C₁₃	—	4	2	no	—
710	C₂×C₄×C₁₃	—	4	1	no	—
711	C₂×C₄×C₁₃	—	4	4	no	—
712	C₂×C₄×C₁₃	—	4	8	no	—
713	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
714	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
715	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
716	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
717	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
718	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
719	C₂²⋊D₁₃	—	2	16	no	—
720	C₂²⋊D₁₃	—	2	8	no	—
721	C₂²⋊D₁₃	—	2	16	no	—
722	C₂²⋊D₁₃	—	2	8	no	—
723	C₂²⋊D₁₃	—	2	16	no	—
724	C₂²⋊D₁₃	—	4	2	no	—
725	C₂²⋊D₁₃	—	4	2	no	—
726	C₂²⋊D₁₃	—	4	2	no	—
727	C₂²⋊D₁₃	—	4	8	no	—
728	C₂²⋊D₁₃	—	4	8	no	—
729	C₂²⋊D₁₃	—	4	8	no	—
730	C₂²⋊D₁₃	—	4	8	no	—
731	C₂²⋊D₁₃	—	4	8	no	—
732	C₂²⋊D₁₃	—	4	8	no	—
733	C₂²⋊D₁₃	—	4	8	no	—
734	C₂²⋊D₁₃	—	4	8	no	—
735	C₂×Dic₁₃	—	2	2	no	—
736	C₂×Dic₁₃	—	2	4	no	—
737	C₂×Dic₁₃	—	2	4	no	—
738	C₂×Dic₁₃	—	4	2	no	—
739	C₂×Dic₁₃	—	4	1	no	—
740	C₂×Dic₁₃	—	4	4	no	—
741	C₂×Dic₁₃	—	4	8	no	—
742	C₂×Dic₁₃	C₂⁵	1	2	yes	—
743	C₂×Dic₁₃	C₂⁵	1	8	yes	—
744	C₂×Dic₁₃	C₂⁵	1	4	yes	—
745	C₂×Dic₁₃	C₂⁵	1	2	yes	—
746	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
747	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
748	D₅₂	—	2	16	no	—
749	D₅₂	—	2	8	no	—
750	D₅₂	—	2	8	no	—
751	D₅₂	—	4	4	no	—
752	D₅₂	—	4	4	no	—
753	D₅₂	—	4	8	no	—
754	D₅₂	—	4	8	no	—
755	D₅₂	—	4	8	no	—
756	D₅₂	—	4	1	no	—
757	D₅₂	—	4	2	no	—
758	C₄×D₁₃	—	2	4	no	—
759	C₄×D₁₃	—	2	2	no	—
760	C₄×D₁₃	—	2	4	no	—
761	C₄×D₁₃	—	2	16	no	—
762	C₄×D₁₃	—	2	8	no	—
763	C₄×D₁₃	—	2	2	no	—
764	C₄×D₁₃	—	2	4	no	—
765	C₄×D₁₃	—	2	4	no	—
766	C₄×D₁₃	—	2	4	no	—
767	C₄×D₁₃	—	2	2	no	—
768	C₄×D₁₃	—	2	4	no	—
769	C₄×D₁₃	—	4	2	no	—
770	C₄×D₁₃	—	4	2	no	—
771	C₄×D₁₃	—	4	2	no	—
772	C₄×D₁₃	—	4	8	no	—
773	C₄×D₁₃	—	4	8	no	—
774	C₄×D₁₃	—	4	8	no	—
775	C₄×D₁₃	H(5,𝔽₂)	1	4	yes	—
776	Dic₂₆	—	4	2	no	—
777	Dic₂₆	—	4	1	no	—
778	C₂²×#41	—	13	1	no	—
779	C₂³×D₄	—	13	2	no	—
780	C₂³×D₄	—	13	4	no	—
781	C₂³×D₄	—	13	8	no	—
782	C₂³×D₄	—	13	2	no	—
783	C₂⁴×C₄	—	13	1	no	—
784	#560	—	13	4	no	—
785	#560	—	13	8	no	—
786	#560	—	13	8	no	—
787	#560	—	13	4	no	—
788	#560	—	13	8	no	—
789	#560	—	13	8	no	—
790	#560	—	13	8	no	—
791	#560	—	13	4	no	—
792	#560	—	13	8	no	—
793	#560	C₂×D₁₃	1	4	yes	complemented
794	#553	—	13	8	no	—
795	#553	—	13	4	no	—
796	#553	—	13	8	no	—
797	#553	—	13	8	no	—
798	#553	—	13	4	no	—
799	#553	—	13	4	no	—
800	#553	—	13	8	no	—
801	#553	—	13	4	no	—
802	#553	—	13	4	no	—
803	#553	—	13	4	no	—
804	#553	—	13	4	no	—
805	#553	C₂×D₁₃	1	4	yes	complemented
806	D₄²	—	13	8	no	—
807	D₄²	—	13	8	no	—
808	D₄²	—	13	8	no	—
809	D₄²	—	13	4	no	—
810	D₄²	—	13	4	no	—
811	D₄²	—	13	4	no	—
812	D₄²	—	13	4	no	—
813	D₄²	—	13	4	no	—
814	D₄²	—	13	4	no	—
815	D₄²	—	13	8	no	—
816	D₄²	—	13	8	no	—
817	D₄²	—	13	8	no	—
818	D₄²	—	13	8	no	—
819	D₄²	—	13	8	no	—
820	D₄²	—	13	4	no	—
821	D₄²	—	13	4	no	—
822	D₄²	—	13	8	no	—
823	D₄²	—	13	4	no	—
824	D₄²	—	13	8	no	—
825	D₄²	—	13	4	no	—
826	D₄²	C₂×D₁₃	1	4	yes	complemented
827	D₄²	C₂×D₁₃	1	4	yes	complemented
828	#540	—	13	2	no	—
829	#540	—	13	2	no	—
830	#540	—	13	8	no	—
831	#540	—	13	8	no	—
832	#540	—	13	4	no	—
833	#540	—	13	4	no	—
834	#540	—	13	2	no	—
835	#540	C₂×D₁₃	1	2	yes	complemented
836	#538	—	13	8	no	—
837	#538	—	13	8	no	—
838	#538	—	13	8	no	—
839	#538	—	13	4	no	—
840	#538	—	13	8	no	—
841	#538	—	13	4	no	—
842	#538	—	13	8	no	—
843	#538	—	13	8	no	—
844	#538	—	13	4	no	—
845	#538	C₂×D₁₃	1	4	yes	complemented
846	#535	—	13	2	no	—
847	#535	—	13	2	no	—
848	#535	—	13	4	no	—
849	#535	—	13	4	no	—
850	#535	—	13	4	no	—
851	#535	—	13	4	no	—
852	#535	—	13	4	no	—
853	#535	—	13	4	no	—
854	#535	—	13	2	no	—
855	#535	C₂×D₁₃	1	2	yes	complemented
856	#534	—	13	8	no	—
857	#534	—	13	8	no	—
858	#534	—	13	8	no	—
859	#534	—	13	4	no	—
860	#534	—	13	8	no	—
861	#534	—	13	4	no	—
862	#534	—	13	8	no	—
863	#534	—	13	8	no	—
864	#534	—	13	4	no	—
865	#534	C₂×D₁₃	1	4	yes	complemented
866	C₂×#127	—	13	4	no	—
867	C₂×#127	—	13	2	no	—
868	C₂×#126	—	13	8	no	—
869	C₂×#125	—	13	2	no	—
870	C₂×#124	—	13	4	no	—
871	#525	—	13	1	no	—
872	#525	—	13	1	no	—
873	#525	—	13	2	no	—
874	#525	—	13	2	no	—
875	#525	—	13	2	no	—
876	#525	—	13	2	no	—
877	#525	—	13	4	no	—
878	#525	—	13	1	no	—
879	#525	C₂×D₁₃	1	1	yes	characteristic, complemented
880	C₂×#123	—	13	2	no	—
881	C₂×#123	—	13	8	no	—
882	C₂×#123	—	13	8	no	—
883	C₂×C₂²⋊Q₈	—	13	2	no	—
884	C₂×#121	—	13	2	no	—
885	C₂×#121	—	13	4	no	—
886	C₂×#121	—	13	2	no	—
887	C₂×#121	—	13	4	no	—
888	C₂×#121	—	13	4	no	—
889	C₂×#121	—	13	4	no	—
890	C₂×#121	—	13	4	no	—
891	C₂×#121	—	13	4	no	—
892	C₂×#121	—	13	4	no	—
893	C₂×#121	—	13	4	no	—
894	C₂×#121	—	13	4	no	—
895	C₂×#121	—	13	2	no	—
896	C₂×#121	—	13	8	no	—
897	C₂×#121	—	13	4	no	—
898	C₂×#121	—	13	8	no	—
899	C₂×#121	—	13	8	no	—
900	C₂×#121	—	13	2	no	—
901	C₂×#121	—	13	4	no	—
902	C₂×#121	C₂×D₁₃	1	2	yes	complemented
903	C₂×#120	—	13	2	no	—
904	C₂×#120	—	13	4	no	—
905	C₂×#120	—	13	8	no	—
906	C₂×#120	—	13	4	no	—
907	C₂×#120	—	13	8	no	—
908	C₂×C₄×D₄	—	13	4	no	—
909	C₂×C₄×D₄	—	13	8	no	—
910	C₂×C₄×D₄	—	13	4	no	—
911	C₂×#117	—	13	1	no	—
912	C₂×#117	—	13	2	no	—
913	C₂²×C₄⋊C₄	—	13	2	no	—
914	C₂²×C₂²⋊C₄	—	13	4	no	—
915	C₂²×C₁₃	—	2	2	no	—
916	C₂²×C₁₃	—	2	2	no	—
917	C₂²×C₁₃	—	2	1	no	—
918	C₂²×C₁₃	—	2	2	no	—
919	C₂²×C₁₃	—	2	8	no	—
920	C₂²×C₁₃	—	2	8	no	—
921	C₂²×C₁₃	—	2	4	no	—
922	C₂²×C₁₃	—	2	8	no	—
923	C₂²×C₁₃	—	2	2	no	—
924	C₂²×C₁₃	—	4	4	no	—
925	C₂²×C₁₃	—	8	8	no	—
926	C₂²×C₁₃	—	8	8	no	—
927	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
928	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
929	C₂×D₁₃	—	2	2	no	—
930	C₂×D₁₃	—	2	2	no	—
931	C₂×D₁₃	—	2	16	no	—
932	C₂×D₁₃	—	2	1	no	—
933	C₂×D₁₃	—	2	2	no	—
934	C₂×D₁₃	—	2	8	no	—
935	C₂×D₁₃	—	2	4	no	—
936	C₂×D₁₃	—	2	8	no	—
937	C₂×D₁₃	—	2	8	no	—
938	C₂×D₁₃	—	2	2	no	—
939	C₂×D₁₃	—	4	4	no	—
940	C₂×D₁₃	—	4	8	no	—
941	C₂×D₁₃	—	4	4	no	—
942	C₂×D₁₃	—	4	8	no	—
943	C₂×D₁₃	—	4	32	no	—
944	C₂×D₁₃	—	8	16	no	—
945	C₂×D₁₃	—	8	8	no	—
946	C₂×D₁₃	—	8	16	no	—
947	C₂×D₁₃	—	8	8	no	—
948	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
949	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
950	C₂×D₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
951	C₄×C₁₃	—	2	1	no	—
952	C₄×C₁₃	—	2	2	no	—
953	C₄×C₁₃	—	2	2	no	—
954	C₄×C₁₃	—	2	8	no	—
955	C₄×C₁₃	—	2	4	no	—
956	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
957	Dic₁₃	—	2	1	no	—
958	Dic₁₃	—	2	2	no	—
959	Dic₁₃	—	2	2	no	—
960	Dic₁₃	—	2	8	no	—
961	Dic₁₃	—	2	4	no	—
962	Dic₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
963	C₂⁵	—	13	1	no	—
964	C₂⁵	—	13	4	no	—
965	C₂⁵	—	13	4	no	—
966	C₂×#41	—	13	1	no	—
967	C₂×#41	—	13	1	no	—
968	C₂×#41	—	13	2	no	—
969	C₂×#41	—	13	1	no	—
970	C₂×#41	—	13	2	no	—
971	C₂×#41	—	52	4	no	—
972	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic, complemented
973	C₂²×Q₈	—	13	1	no	—
974	C₂²×D₄	—	13	4	no	—
975	C₂²×D₄	—	13	4	no	—
976	C₂²×D₄	—	13	4	no	—
977	C₂²×D₄	—	13	8	no	—
978	C₂²×D₄	—	13	8	no	—
979	C₂²×D₄	—	13	4	no	—
980	C₂²×D₄	—	13	4	no	—
981	C₂²×D₄	—	13	8	no	—
982	C₂²×D₄	—	13	4	no	—
983	C₂²×D₄	—	13	1	no	—
984	C₂²×D₄	—	13	2	no	—
985	C₂²×D₄	—	13	4	no	—
986	C₂²×D₄	—	13	8	no	—
987	C₂²×D₄	—	13	8	no	—
988	C₂²×D₄	—	13	4	no	—
989	C₂²×D₄	—	13	8	no	—
990	C₂²×D₄	—	13	4	no	—
991	C₂²×D₄	—	13	4	no	—
992	C₂²×D₄	—	13	8	no	—
993	C₂²×D₄	—	13	8	no	—
994	C₂²×D₄	—	13	8	no	—
995	C₂²×D₄	—	13	8	no	—
996	C₂²×D₄	—	13	8	no	—
997	C₂²×D₄	—	13	8	no	—
998	C₂²×D₄	—	13	4	no	—
999	C₂²×D₄	—	13	4	no	—
1000	C₂²×D₄	—	13	2	no	—
1001	C₂²×D₄	—	13	4	no	—
1002	C₂²×D₄	—	13	8	no	—
1003	C₂²×D₄	—	13	2	no	—
1004	C₂²×D₄	—	52	8	no	—
1005	C₂²×D₄	—	52	8	no	—
1006	C₂²×D₄	—	52	16	no	—
1007	C₂²×D₄	—	52	32	no	—
1008	C₂²×D₄	C₂²×D₁₃	1	2	yes	complemented
1009	C₂²×D₄	C₂²×D₁₃	1	4	yes	complemented
1010	C₂²×D₄	C₂²×D₁₃	1	8	yes	complemented
1011	C₂²×D₄	C₂²×D₁₃	1	2	yes	complemented
1012	C₂³×C₄	—	13	1	no	—
1013	C₂³×C₄	—	13	2	no	—
1014	C₂³×C₄	—	13	2	no	—
1015	C₂³×C₄	—	13	1	no	—
1016	C₂³×C₄	—	13	2	no	—
1017	C₂³×C₄	—	13	4	no	—
1018	C₂³×C₄	—	13	8	no	—
1019	C₂³×C₄	—	13	1	no	—
1020	C₂³×C₄	—	13	2	no	—
1021	C₂³×C₄	—	13	1	no	—
1022	C₂³×C₄	—	13	2	no	—
1023	C₂³×C₄	—	13	1	no	—
1024	C₂³×C₄	—	52	4	no	—
1025	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1026	#127	—	13	8	no	—
1027	#127	—	13	8	no	—
1028	#127	—	13	4	no	—
1029	#127	—	13	4	no	—
1030	#127	—	13	8	no	—
1031	#127	—	13	4	no	—
1032	#127	—	13	4	no	—
1033	#127	—	13	2	no	—
1034	#127	C₂²×D₁₃	1	4	yes	complemented
1035	#127	C₂²×D₁₃	1	2	yes	complemented
1036	#126	—	13	8	no	—
1037	#126	—	13	8	no	—
1038	#126	—	13	8	no	—
1039	#126	—	13	8	no	—
1040	#126	—	13	8	no	—
1041	#126	—	13	8	no	—
1042	#126	—	13	8	no	—
1043	#126	C₂²×D₁₃	1	8	yes	complemented
1044	#125	—	13	8	no	—
1045	#125	—	13	4	no	—
1046	#125	—	13	2	no	—
1047	#125	C₂²×D₁₃	1	2	yes	complemented
1048	#124	—	13	4	no	—
1049	#124	—	13	4	no	—
1050	#124	—	13	8	no	—
1051	#124	—	13	8	no	—
1052	#124	—	13	4	no	—
1053	#124	C₂²×D₁₃	1	4	yes	complemented
1054	#123	—	13	2	no	—
1055	#123	—	13	8	no	—
1056	#123	—	13	8	no	—
1057	#123	—	13	2	no	—
1058	#123	—	13	8	no	—
1059	#123	—	13	8	no	—
1060	#123	—	13	4	no	—
1061	#123	—	13	8	no	—
1062	#123	—	13	8	no	—
1063	#123	—	13	8	no	—
1064	#123	—	13	8	no	—
1065	#123	—	13	4	no	—
1066	#123	—	13	2	no	—
1067	#123	—	13	8	no	—
1068	#123	—	13	8	no	—
1069	#123	—	13	8	no	—
1070	#123	—	13	8	no	—
1071	#123	—	13	8	no	—
1072	#123	—	13	8	no	—
1073	#123	C₂²×D₁₃	1	2	yes	complemented
1074	#123	C₂²×D₁₃	1	8	yes	complemented
1075	#123	C₂²×D₁₃	1	8	yes	complemented
1076	C₂²⋊Q₈	—	13	2	no	—
1077	C₂²⋊Q₈	—	13	2	no	—
1078	C₂²⋊Q₈	—	13	4	no	—
1079	C₂²⋊Q₈	—	13	2	no	—
1080	C₂²⋊Q₈	—	13	4	no	—
1081	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	complemented
1082	#121	—	13	4	no	—
1083	#121	—	13	8	no	—
1084	#121	—	13	4	no	—
1085	#121	—	13	8	no	—
1086	#121	—	13	4	no	—
1087	#121	—	13	8	no	—
1088	#121	—	13	4	no	—
1089	#121	—	13	8	no	—
1090	#121	—	13	2	no	—
1091	#121	—	13	4	no	—
1092	#121	—	13	8	no	—
1093	#121	—	13	8	no	—
1094	#121	—	13	8	no	—
1095	#121	—	13	4	no	—
1096	#121	—	13	8	no	—
1097	#121	—	13	8	no	—
1098	#121	—	13	8	no	—
1099	#121	—	13	8	no	—
1100	#121	—	13	8	no	—
1101	#121	—	13	8	no	—
1102	#121	—	13	8	no	—
1103	#121	—	13	4	no	—
1104	#121	—	13	4	no	—
1105	#121	—	13	4	no	—
1106	#121	—	13	4	no	—
1107	#121	—	13	2	no	—
1108	#121	—	13	8	no	—
1109	#121	—	13	4	no	—
1110	#121	—	13	8	no	—
1111	#121	—	13	8	no	—
1112	#121	—	13	4	no	—
1113	#121	—	13	4	no	—
1114	#121	—	13	4	no	—
1115	#121	—	13	4	no	—
1116	#121	—	13	2	no	—
1117	#121	—	13	8	no	—
1118	#121	—	13	4	no	—
1119	#121	—	13	8	no	—
1120	#121	—	13	8	no	—
1121	#121	—	13	8	no	—
1122	#121	—	13	8	no	—
1123	#121	—	13	8	no	—
1124	#121	—	13	8	no	—
1125	#121	—	13	4	no	—
1126	#121	—	13	8	no	—
1127	#121	—	13	8	no	—
1128	#121	—	13	8	no	—
1129	#121	—	13	8	no	—
1130	#121	—	13	8	no	—
1131	#121	—	13	8	no	—
1132	#121	—	13	8	no	—
1133	#121	C₂²×D₁₃	1	4	yes	complemented
1134	#121	C₂²×D₁₃	1	4	yes	complemented
1135	#121	C₂²×D₁₃	1	4	yes	complemented
1136	#121	C₂²×D₁₃	1	4	yes	complemented
1137	#121	C₂²×D₁₃	1	2	yes	complemented
1138	#121	C₂²×D₁₃	1	8	yes	complemented
1139	#121	C₂²×D₁₃	1	4	yes	complemented
1140	#121	C₂²×D₁₃	1	8	yes	complemented
1141	#121	C₂²×D₁₃	1	8	yes	complemented
1142	#120	—	13	2	no	—
1143	#120	—	13	4	no	—
1144	#120	—	13	8	no	—
1145	#120	—	13	4	no	—
1146	#120	—	13	8	no	—
1147	#120	—	13	2	no	—
1148	#120	—	13	4	no	—
1149	#120	—	13	8	no	—
1150	#120	—	13	4	no	—
1151	#120	—	13	8	no	—
1152	#120	—	13	8	no	—
1153	#120	—	13	8	no	—
1154	#120	—	13	4	no	—
1155	#120	—	13	8	no	—
1156	#120	—	13	8	no	—
1157	#120	—	13	8	no	—
1158	#120	—	13	8	no	—
1159	#120	—	13	4	no	—
1160	#120	—	13	2	no	—
1161	#120	—	13	4	no	—
1162	#120	—	13	8	no	—
1163	#120	—	13	8	no	—
1164	#120	—	13	8	no	—
1165	#120	—	13	8	no	—
1166	#120	—	13	8	no	—
1167	#120	—	13	4	no	—
1168	#120	—	13	8	no	—
1169	#120	—	13	8	no	—
1170	#120	—	13	8	no	—
1171	#120	C₂²×D₁₃	1	2	yes	complemented
1172	#120	C₂²×D₁₃	1	4	yes	complemented
1173	#120	C₂²×D₁₃	1	8	yes	complemented
1174	#120	C₂²×D₁₃	1	4	yes	complemented
1175	#120	C₂²×D₁₃	1	8	yes	complemented
1176	C₄×D₄	—	13	4	no	—
1177	C₄×D₄	—	13	8	no	—
1178	C₄×D₄	—	13	4	no	—
1179	C₄×D₄	—	13	4	no	—
1180	C₄×D₄	—	13	4	no	—
1181	C₄×D₄	—	13	8	no	—
1182	C₄×D₄	—	13	8	no	—
1183	C₄×D₄	—	13	8	no	—
1184	C₄×D₄	—	13	4	no	—
1185	C₄×D₄	—	13	8	no	—
1186	C₄×D₄	—	13	4	no	—
1187	C₄×D₄	—	13	4	no	—
1188	C₄×D₄	—	13	4	no	—
1189	C₄×D₄	—	13	8	no	—
1190	C₄×D₄	—	13	8	no	—
1191	C₄×D₄	—	13	8	no	—
1192	C₄×D₄	—	13	4	no	—
1193	C₄×D₄	—	13	8	no	—
1194	C₄×D₄	—	13	4	no	—
1195	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
1196	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1197	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
1198	#117	—	13	1	no	—
1199	#117	—	13	2	no	—
1200	#117	—	13	2	no	—
1201	#117	—	13	4	no	—
1202	#117	—	13	2	no	—
1203	#117	—	13	4	no	—
1204	#117	—	13	2	no	—
1205	#117	—	13	4	no	—
1206	#117	C₂²×D₁₃	1	1	yes	characteristic, complemented
1207	#117	C₂²×D₁₃	1	2	yes	complemented
1208	C₂×C₄⋊C₄	—	13	4	no	—
1209	C₂×C₄⋊C₄	—	13	2	no	—
1210	C₂×C₄⋊C₄	—	13	4	no	—
1211	C₂×C₄⋊C₄	—	13	4	no	—
1212	C₂×C₄⋊C₄	—	13	4	no	—
1213	C₂×C₄⋊C₄	—	13	4	no	—
1214	C₂×C₄⋊C₄	—	13	2	no	—
1215	C₂×C₄⋊C₄	—	13	4	no	—
1216	C₂×C₄⋊C₄	—	13	8	no	—
1217	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	complemented
1218	C₂×C₂²⋊C₄	—	13	4	no	—
1219	C₂×C₂²⋊C₄	—	13	4	no	—
1220	C₂×C₂²⋊C₄	—	13	4	no	—
1221	C₂×C₂²⋊C₄	—	13	8	no	—
1222	C₂×C₂²⋊C₄	—	13	8	no	—
1223	C₂×C₂²⋊C₄	—	13	8	no	—
1224	C₂×C₂²⋊C₄	—	13	8	no	—
1225	C₂×C₂²⋊C₄	—	13	4	no	—
1226	C₂×C₂²⋊C₄	—	13	2	no	—
1227	C₂×C₂²⋊C₄	—	13	4	no	—
1228	C₂×C₂²⋊C₄	—	13	8	no	—
1229	C₂×C₂²⋊C₄	—	13	8	no	—
1230	C₂×C₂²⋊C₄	—	13	4	no	—
1231	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1232	C₂×C₄²	—	13	2	no	—
1233	C₂×C₄²	—	13	4	no	—
1234	C₂×C₁₃	—	2	4	no	—
1235	C₂×C₁₃	—	4	1	no	—
1236	C₂×C₁₃	—	4	8	no	—
1237	C₂×C₁₃	—	4	2	no	—
1238	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	2	yes	—
1239	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1240	D₁₃	—	2	4	no	—
1241	D₁₃	—	4	1	no	—
1242	D₁₃	—	4	2	no	—
1243	D₁₃	—	4	8	no	—
1244	D₁₃	#3537	1	4	yes	direct product factor
1245	C₂⁴	—	13	2	no	—
1246	C₂⁴	—	13	2	no	—
1247	C₂⁴	—	13	8	no	—
1248	C₂⁴	—	13	1	no	—
1249	C₂⁴	—	13	1	no	—
1250	C₂⁴	—	13	2	no	—
1251	C₂⁴	—	13	8	no	—
1252	C₂⁴	—	13	4	no	—
1253	C₂⁴	—	13	8	no	—
1254	C₂⁴	—	13	4	no	—
1255	C₂⁴	—	26	8	no	—
1256	C₂⁴	—	26	16	no	—
1257	C₂⁴	—	52	2	no	—
1258	C₂⁴	—	52	8	no	—
1259	C₂⁴	—	52	8	no	—
1260	C₂⁴	—	52	8	no	—
1261	C₂⁴	—	52	16	no	—
1262	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1263	C₂⁴	C₂³×D₁₃	1	4	yes	—
1264	C₂⁴	C₂³×D₁₃	1	4	yes	—
1265	#41	—	4	2	no	—
1266	#41	—	52	2	no	—
1267	#41	—	52	4	no	—
1268	#41	—	52	2	no	—
1269	#41	—	52	4	no	—
1270	#41	—	52	2	no	—
1271	C₂×Q₈	—	13	1	no	—
1272	C₂×Q₈	—	13	2	no	—
1273	C₂×Q₈	—	52	2	no	—
1274	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1275	C₂×D₄	—	4	4	no	—
1276	C₂×D₄	—	4	4	no	—
1277	C₂×D₄	—	4	8	no	—
1278	C₂×D₄	—	4	16	no	—
1279	C₂×D₄	—	13	4	no	—
1280	C₂×D₄	—	13	8	no	—
1281	C₂×D₄	—	13	4	no	—
1282	C₂×D₄	—	13	8	no	—
1283	C₂×D₄	—	13	8	no	—
1284	C₂×D₄	—	13	2	no	—
1285	C₂×D₄	—	13	2	no	—
1286	C₂×D₄	—	13	2	no	—
1287	C₂×D₄	—	13	8	no	—
1288	C₂×D₄	—	13	8	no	—
1289	C₂×D₄	—	13	8	no	—
1290	C₂×D₄	—	13	8	no	—
1291	C₂×D₄	—	13	8	no	—
1292	C₂×D₄	—	13	8	no	—
1293	C₂×D₄	—	13	8	no	—
1294	C₂×D₄	—	13	8	no	—
1295	C₂×D₄	—	13	4	no	—
1296	C₂×D₄	—	13	8	no	—
1297	C₂×D₄	—	13	4	no	—
1298	C₂×D₄	—	13	1	no	—
1299	C₂×D₄	—	13	2	no	—
1300	C₂×D₄	—	13	4	no	—
1301	C₂×D₄	—	13	8	no	—
1302	C₂×D₄	—	13	8	no	—
1303	C₂×D₄	—	13	4	no	—
1304	C₂×D₄	—	13	8	no	—
1305	C₂×D₄	—	26	16	no	—
1306	C₂×D₄	—	26	16	no	—
1307	C₂×D₄	—	26	32	no	—
1308	C₂×D₄	—	52	4	no	—
1309	C₂×D₄	—	52	4	no	—
1310	C₂×D₄	—	52	8	no	—
1311	C₂×D₄	—	52	16	no	—
1312	C₂×D₄	—	52	8	no	—
1313	C₂×D₄	—	52	8	no	—
1314	C₂×D₄	—	52	8	no	—
1315	C₂×D₄	—	52	8	no	—
1316	C₂×D₄	—	52	8	no	—
1317	C₂×D₄	—	52	8	no	—
1318	C₂×D₄	—	52	16	no	—
1319	C₂×D₄	—	52	16	no	—
1320	C₂×D₄	—	52	16	no	—
1321	C₂×D₄	—	52	2	no	—
1322	C₂×D₄	—	52	4	no	—
1323	C₂×D₄	—	52	8	no	—
1324	C₂×D₄	—	52	8	no	—
1325	C₂×D₄	—	52	16	no	—
1326	C₂×D₄	—	52	16	no	—
1327	C₂×D₄	—	52	16	no	—
1328	C₂×D₄	—	52	16	no	—
1329	C₂×D₄	—	52	16	no	—
1330	C₂×D₄	—	52	16	no	—
1331	C₂×D₄	—	52	8	no	—
1332	C₂×D₄	—	52	16	no	—
1333	C₂×D₄	—	52	8	no	—
1334	C₂×D₄	—	52	16	no	—
1335	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1336	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1337	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1338	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1339	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1340	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1341	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1342	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1343	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1344	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1345	C₂²×C₄	—	4	2	no	—
1346	C₂²×C₄	—	13	1	no	—
1347	C₂²×C₄	—	13	2	no	—
1348	C₂²×C₄	—	13	2	no	—
1349	C₂²×C₄	—	13	1	no	—
1350	C₂²×C₄	—	13	2	no	—
1351	C₂²×C₄	—	13	4	no	—
1352	C₂²×C₄	—	13	8	no	—
1353	C₂²×C₄	—	13	1	no	—
1354	C₂²×C₄	—	13	2	no	—
1355	C₂²×C₄	—	13	4	no	—
1356	C₂²×C₄	—	13	8	no	—
1357	C₂²×C₄	—	13	1	no	—
1358	C₂²×C₄	—	13	2	no	—
1359	C₂²×C₄	—	13	2	no	—
1360	C₂²×C₄	—	13	2	no	—
1361	C₂²×C₄	—	13	2	no	—
1362	C₂²×C₄	—	13	2	no	—
1363	C₂²×C₄	—	13	1	no	—
1364	C₂²×C₄	—	13	1	no	—
1365	C₂²×C₄	—	13	2	no	—
1366	C₂²×C₄	—	13	2	no	—
1367	C₂²×C₄	—	13	8	no	—
1368	C₂²×C₄	—	13	8	no	—
1369	C₂²×C₄	—	13	8	no	—
1370	C₂²×C₄	—	13	2	no	—
1371	C₂²×C₄	—	26	8	no	—
1372	C₂²×C₄	—	26	4	no	—
1373	C₂²×C₄	—	26	8	no	—
1374	C₂²×C₄	—	52	4	no	—
1375	C₂²×C₄	—	52	2	no	—
1376	C₂²×C₄	—	52	2	no	—
1377	C₂²×C₄	—	52	4	no	—
1378	C₂²×C₄	—	52	2	no	—
1379	C₂²×C₄	—	52	4	no	—
1380	C₂²×C₄	—	52	8	no	—
1381	C₂²×C₄	—	52	16	no	—
1382	C₂²×C₄	—	52	2	no	—
1383	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1384	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1385	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1386	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1387	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1388	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1389	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1390	C₄⋊C₄	—	13	8	no	—
1391	C₄⋊C₄	—	13	4	no	—
1392	C₄⋊C₄	—	13	8	no	—
1393	C₄⋊C₄	—	13	4	no	—
1394	C₄⋊C₄	—	13	4	no	—
1395	C₄⋊C₄	—	13	2	no	—
1396	C₄⋊C₄	—	13	4	no	—
1397	C₄⋊C₄	—	13	4	no	—
1398	C₄⋊C₄	—	13	4	no	—
1399	C₄⋊C₄	—	13	8	no	—
1400	C₄⋊C₄	—	13	8	no	—
1401	C₄⋊C₄	—	13	8	no	—
1402	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1403	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1404	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1405	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1406	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1407	C₂²⋊C₄	—	13	8	no	—
1408	C₂²⋊C₄	—	13	8	no	—
1409	C₂²⋊C₄	—	13	4	no	—
1410	C₂²⋊C₄	—	13	2	no	—
1411	C₂²⋊C₄	—	13	4	no	—
1412	C₂²⋊C₄	—	13	8	no	—
1413	C₂²⋊C₄	—	13	8	no	—
1414	C₂²⋊C₄	—	13	4	no	—
1415	C₂²⋊C₄	—	13	8	no	—
1416	C₂²⋊C₄	—	13	8	no	—
1417	C₂²⋊C₄	—	13	8	no	—
1418	C₂²⋊C₄	—	13	8	no	—
1419	C₂²⋊C₄	—	13	8	no	—
1420	C₂²⋊C₄	—	13	4	no	—
1421	C₂²⋊C₄	—	13	4	no	—
1422	C₂²⋊C₄	—	13	4	no	—
1423	C₂²⋊C₄	—	13	8	no	—
1424	C₂²⋊C₄	—	13	8	no	—
1425	C₂²⋊C₄	—	13	8	no	—
1426	C₂²⋊C₄	—	13	8	no	—
1427	C₂²⋊C₄	—	13	4	no	—
1428	C₂²⋊C₄	—	13	4	no	—
1429	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1430	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1431	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1432	C₂²⋊C₄	C₂³×D₁₃	1	2	yes	—
1433	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1434	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1435	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1436	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1437	C₄²	—	13	4	no	—
1438	C₄²	—	13	2	no	—
1439	C₄²	—	13	8	no	—
1440	C₄²	—	13	4	no	—
1441	C₄²	C₂³×D₁₃	1	2	yes	—
1442	C₄²	C₂³×D₁₃	1	4	yes	—
1443	C₁₃	C₂×#3537	1	1	yes	characteristic, complemented, Sylow
1444	C₂³	—	2	4	no	—
1445	C₂³	—	2	8	no	—
1446	C₂³	—	4	1	no	—
1447	C₂³	—	4	4	no	—
1448	C₂³	—	4	4	no	—
1449	C₂³	—	4	4	no	—
1450	C₂³	—	4	8	no	—
1451	C₂³	—	13	1	no	—
1452	C₂³	—	13	8	no	—
1453	C₂³	—	13	2	no	—
1454	C₂³	—	13	2	no	—
1455	C₂³	—	13	8	no	—
1456	C₂³	—	13	1	no	—
1457	C₂³	—	26	4	no	—
1458	C₂³	—	26	4	no	—
1459	C₂³	—	26	2	no	—
1460	C₂³	—	26	4	no	—
1461	C₂³	—	26	16	no	—
1462	C₂³	—	26	16	no	—
1463	C₂³	—	26	8	no	—
1464	C₂³	—	26	16	no	—
1465	C₂³	—	26	4	no	—
1466	C₂³	—	26	4	no	—
1467	C₂³	—	26	4	no	—
1468	C₂³	—	26	16	no	—
1469	C₂³	—	26	4	no	—
1470	C₂³	—	26	8	no	—
1471	C₂³	—	52	2	no	—
1472	C₂³	—	52	1	no	—
1473	C₂³	—	52	4	no	—
1474	C₂³	—	52	4	no	—
1475	C₂³	—	52	4	no	—
1476	C₂³	—	52	8	no	—
1477	C₂³	—	52	8	no	—
1478	C₂³	—	52	8	no	—
1479	C₂³	—	52	8	no	—
1480	C₂³	—	52	8	no	—
1481	C₂³	—	52	8	no	—
1482	C₂³	—	52	16	no	—
1483	C₂³	—	104	32	no	—
1484	C₂³	—	104	32	no	—
1485	C₂³	C₂⁴×D₁₃	1	2	yes	—
1486	C₂³	C₂⁴×D₁₃	1	8	yes	—
1487	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1488	C₂³	C₂⁴×D₁₃	1	2	yes	—
1489	Q₈	—	4	1	no	—
1490	Q₈	—	52	1	no	—
1491	Q₈	—	52	2	no	—
1492	D₄	—	2	16	no	—
1493	D₄	—	2	8	no	—
1494	D₄	—	2	8	no	—
1495	D₄	—	4	4	no	—
1496	D₄	—	4	4	no	—
1497	D₄	—	4	8	no	—
1498	D₄	—	4	8	no	—
1499	D₄	—	4	8	no	—
1500	D₄	—	4	1	no	—
1501	D₄	—	4	2	no	—
1502	D₄	—	26	8	no	—
1503	D₄	—	26	16	no	—
1504	D₄	—	26	16	no	—
1505	D₄	—	26	8	no	—
1506	D₄	—	26	16	no	—
1507	D₄	—	26	8	no	—
1508	D₄	—	26	16	no	—
1509	D₄	—	26	8	no	—
1510	D₄	—	52	4	no	—
1511	D₄	—	52	4	no	—
1512	D₄	—	52	8	no	—
1513	D₄	—	52	8	no	—
1514	D₄	—	52	8	no	—
1515	D₄	—	52	1	no	—
1516	D₄	—	52	2	no	—
1517	D₄	—	52	8	no	—
1518	D₄	—	52	8	no	—
1519	D₄	—	52	8	no	—
1520	D₄	—	52	8	no	—
1521	D₄	—	52	8	no	—
1522	D₄	—	52	8	no	—
1523	D₄	—	52	8	no	—
1524	D₄	—	52	8	no	—
1525	D₄	—	52	2	no	—
1526	D₄	—	52	2	no	—
1527	D₄	—	52	2	no	—
1528	C₂×C₄	—	2	4	no	—
1529	C₂×C₄	—	2	2	no	—
1530	C₂×C₄	—	2	4	no	—
1531	C₂×C₄	—	4	1	no	—
1532	C₂×C₄	—	4	2	no	—
1533	C₂×C₄	—	4	4	no	—
1534	C₂×C₄	—	4	8	no	—
1535	C₂×C₄	—	13	1	no	—
1536	C₂×C₄	—	13	4	no	—
1537	C₂×C₄	—	13	2	no	—
1538	C₂×C₄	—	13	4	no	—
1539	C₂×C₄	—	13	8	no	—
1540	C₂×C₄	—	13	1	no	—
1541	C₂×C₄	—	13	2	no	—
1542	C₂×C₄	—	26	4	no	—
1543	C₂×C₄	—	26	2	no	—
1544	C₂×C₄	—	26	4	no	—
1545	C₂×C₄	—	26	4	no	—
1546	C₂×C₄	—	26	2	no	—
1547	C₂×C₄	—	26	4	no	—
1548	C₂×C₄	—	26	8	no	—
1549	C₂×C₄	—	26	16	no	—
1550	C₂×C₄	—	26	4	no	—
1551	C₂×C₄	—	26	2	no	—
1552	C₂×C₄	—	26	4	no	—
1553	C₂×C₄	—	26	4	no	—
1554	C₂×C₄	—	26	2	no	—
1555	C₂×C₄	—	26	4	no	—
1556	C₂×C₄	—	52	2	no	—
1557	C₂×C₄	—	52	2	no	—
1558	C₂×C₄	—	52	2	no	—
1559	C₂×C₄	—	52	8	no	—
1560	C₂×C₄	—	52	8	no	—
1561	C₂×C₄	—	52	8	no	—
1562	C₂×C₄	—	52	1	no	—
1563	C₂×C₄	—	52	2	no	—
1564	C₂×C₄	—	52	4	no	—
1565	C₂×C₄	—	52	8	no	—
1566	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1567	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1568	C₂×C₄	C₂⁴×D₁₃	1	8	yes	—
1569	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1570	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1571	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1572	C₂²	—	2	2	no	—
1573	C₂²	—	2	2	no	—
1574	C₂²	—	2	1	no	—
1575	C₂²	—	2	2	no	—
1576	C₂²	—	2	8	no	—
1577	C₂²	—	2	4	no	—
1578	C₂²	—	2	8	no	—
1579	C₂²	—	2	8	no	—
1580	C₂²	—	2	2	no	—
1581	C₂²	—	4	4	no	—
1582	C₂²	—	8	8	no	—
1583	C₂²	—	8	8	no	—
1584	C₂²	—	13	2	no	—
1585	C₂²	—	13	4	no	—
1586	C₂²	—	13	4	no	—
1587	C₂²	—	26	16	no	—
1588	C₂²	—	26	2	no	—
1589	C₂²	—	26	2	no	—
1590	C₂²	—	26	1	no	—
1591	C₂²	—	26	2	no	—
1592	C₂²	—	26	8	no	—
1593	C₂²	—	26	4	no	—
1594	C₂²	—	26	8	no	—
1595	C₂²	—	26	8	no	—
1596	C₂²	—	26	2	no	—
1597	C₂²	—	52	8	no	—
1598	C₂²	—	52	4	no	—
1599	C₂²	—	52	8	no	—
1600	C₂²	—	52	32	no	—
1601	C₂²	—	52	4	no	—
1602	C₂²	—	104	8	no	—
1603	C₂²	—	104	16	no	—
1604	C₂²	—	104	8	no	—
1605	C₂²	—	104	16	no	—
1606	C₂²	D₁₃×H(5,𝔽₂)	1	4	yes	—
1607	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1608	C₄	—	2	2	no	—
1609	C₄	—	2	1	no	—
1610	C₄	—	2	2	no	—
1611	C₄	—	2	8	no	—
1612	C₄	—	2	4	no	—
1613	C₄	—	13	2	no	—
1614	C₄	—	26	2	no	—
1615	C₄	—	26	1	no	—
1616	C₄	—	26	2	no	—
1617	C₄	—	26	4	no	—
1618	C₄	—	26	8	no	—
1619	C₄	D₁₃×H(5,𝔽₂)	1	2	yes	—
1620	C₂	—	2	4	no	—
1621	C₂	—	4	1	no	—
1622	C₂	—	4	2	no	—
1623	C₂	—	4	8	no	—
1624	C₂	—	13	4	no	—
1625	C₂	—	26	4	no	—
1626	C₂	—	52	1	no	—
1627	C₂	—	52	2	no	—
1628	C₂	—	52	8	no	—
1629	C₂	C₂×D₁₃×H(5,𝔽₂)	1	2	yes	—
1630	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3537	C₂
hypercenter	#3537	D₁₃
hypocenter	C₁₃	C₂×#3537
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3537

Complements

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

N	H ≅ G/N	type
1. #13129075	C₂	semidirect
2. #13129074	C₂	semidirect
3. #13129073	C₂	semidirect
4. #13129072	C₂	semidirect
5. #13129071	C₂	semidirect
6. #13129070	C₂	semidirect
7. #13129069	C₂	semidirect
8. #13129068	C₂	semidirect
9. #13129067	C₂	semidirect
10. #13129066	C₂	semidirect
11. D₁₃×#560	C₂	semidirect
12. D₁₃×#553	C₂	semidirect
13. D₄²×D₁₃	C₂	semidirect
14. D₄²×D₁₃	C₂	semidirect
15. D₁₃×#540	C₂	semidirect
16. D₁₃×#538	C₂	semidirect
17. D₁₃×#535	C₂	semidirect
18. D₁₃×#534	C₂	semidirect
19. D₁₃×#525	C₂	semidirect
20. C₂×D₁₃×#121	C₂	semidirect
21. C₁₃×#3537	C₂	semidirect
22. C₂×#41×D₁₃	C₂²	semidirect
23. C₂²×D₄×D₁₃	C₂²	semidirect
24. C₂²×D₄×D₁₃	C₂²	semidirect
25. C₂²×D₄×D₁₃	C₂²	semidirect
26. C₂²×D₄×D₁₃	C₂²	semidirect
27. C₂³×C₄×D₁₃	C₂²	semidirect
28. C₁₃×#560	C₂²	semidirect
29. C₁₃×#553	C₂²	semidirect
30. D₄²×C₁₃	C₂²	semidirect
31. D₄²×C₁₃	C₂²	semidirect
32. C₁₃×#540	C₂²	semidirect
33. C₁₃×#538	C₂²	semidirect
34. C₁₃×#535	C₂²	semidirect
35. C₁₃×#534	C₂²	semidirect
36. C₁₃×#525	C₂²	semidirect
37. C₂×C₁₃×#121	C₂²	semidirect
38. #11719535	C₂²	semidirect
39. #11719533	C₂²	semidirect
40. #11719510	C₂²	semidirect
41. #11719509	C₂²	semidirect
42. C₂×#88193	C₂²	semidirect
43. D₄×C₂²⋊D₁₃	C₂²	semidirect
44. D₄×C₂²⋊D₁₃	C₂²	semidirect
45. D₄×C₂²⋊D₁₃	C₂²	semidirect
46. D₄×C₂²⋊D₁₃	C₂²	semidirect
47. D₄×C₂²⋊D₁₃	C₂²	semidirect
48. C₂×#88192	C₂²	semidirect
49. #11719496	C₂²	semidirect
50. C₂×#88184	C₂²	semidirect
51. #11719425	C₂²	semidirect
52. #11719424	C₂²	semidirect
53. #11719422	C₂²	semidirect
54. #11719422	C₂²	semidirect
55. #11719420	C₂²	semidirect
56. D₁₃×#127	C₂²	semidirect
57. D₁₃×#127	C₂²	semidirect
58. #11719416	C₂²	semidirect
59. #11719414	C₂²	semidirect
60. #11719409	C₂²	semidirect
61. D₁₃×#126	C₂²	semidirect
62. #11719403	C₂²	semidirect
63. #11719400	C₂²	semidirect
64. D₁₃×#125	C₂²	semidirect
65. #11719383	C₂²	semidirect
66. #11719379	C₂²	semidirect
67. D₁₃×#124	C₂²	semidirect
68. #11719371	C₂²	semidirect
69. #11719371	C₂²	semidirect
70. #11719368	C₂²	semidirect
71. #11719366	C₂²	semidirect
72. #11719362	C₂²	semidirect
73. #11719361	C₂²	semidirect
74. #11719358	C₂²	semidirect
75. #11719358	C₂²	semidirect
76. D₁₃×#123	C₂²	semidirect
77. D₁₃×#123	C₂²	semidirect
78. D₁₃×#123	C₂²	semidirect
79. #11719349	C₂²	semidirect
80. #11719332	C₂²	semidirect
81. D₁₃×C₂²⋊Q₈	C₂²	semidirect
82. #11719325	C₂²	semidirect
83. #11719325	C₂²	semidirect
84. #11719325	C₂²	semidirect
85. #11719324	C₂²	semidirect
86. #11719323	C₂²	semidirect
87. #11719322	C₂²	semidirect
88. #11719320	C₂²	semidirect
89. #11719319	C₂²	semidirect
90. #11719318	C₂²	semidirect
91. #11719314	C₂²	semidirect
92. #11719314	C₂²	semidirect
93. #11719314	C₂²	semidirect
94. #11719314	C₂²	semidirect
95. #11719314	C₂²	semidirect
96. #11719312	C₂²	semidirect
97. #11719312	C₂²	semidirect
98. #11719311	C₂²	semidirect
99. #11719310	C₂²	semidirect
100. #11719310	C₂²	semidirect
101. #11719310	C₂²	semidirect
102. D₁₃×#121	C₂²	semidirect
103. D₁₃×#121	C₂²	semidirect
104. D₁₃×#121	C₂²	semidirect
105. D₁₃×#121	C₂²	semidirect
106. D₁₃×#121	C₂²	semidirect
107. D₁₃×#121	C₂²	semidirect
108. D₁₃×#121	C₂²	semidirect
109. D₁₃×#121	C₂²	semidirect
110. D₁₃×#121	C₂²	semidirect
111. D₁₃×#121	C₂²	semidirect
112. D₁₃×#121	C₂²	semidirect
113. D₁₃×#121	C₂²	semidirect
114. D₁₃×#121	C₂²	semidirect
115. #11719306	C₂²	semidirect
116. #11719300	C₂²	semidirect
117. #11719300	C₂²	semidirect
118. #11719298	C₂²	semidirect
119. #11719297	C₂²	semidirect
120. #11719297	C₂²	semidirect
121. #11719295	C₂²	semidirect
122. #11719295	C₂²	semidirect
123. #11719295	C₂²	semidirect
124. #11719295	C₂²	semidirect
125. #11719295	C₂²	semidirect
126. #11719294	C₂²	semidirect
127. #11719294	C₂²	semidirect
128. D₁₃×#120	C₂²	semidirect
129. D₁₃×#120	C₂²	semidirect
130. D₁₃×#120	C₂²	semidirect
131. D₁₃×#120	C₂²	semidirect
132. D₁₃×#120	C₂²	semidirect
133. #11719291	C₂²	semidirect
134. #11719270	C₂²	semidirect
135. #11719267	C₂²	semidirect
136. #11719265	C₂²	semidirect
137. #11719263	C₂²	semidirect
138. D₄×D₅₂	C₂²	semidirect
139. D₄×D₅₂	C₂²	semidirect
140. D₄×D₅₂	C₂²	semidirect
141. #11719252	C₂²	semidirect
142. C₄×D₄×D₁₃	C₂²	semidirect
143. C₄×D₄×D₁₃	C₂²	semidirect
144. C₄×D₄×D₁₃	C₂²	semidirect
145. #11719245	C₂²	semidirect
146. #11719240	C₂²	semidirect
147. #11719235	C₂²	semidirect
148. #11719230	C₂²	semidirect
149. #11719229	C₂²	semidirect
150. D₁₃×#117	C₂²	semidirect
151. D₁₃×#117	C₂²	semidirect
152. #11719219	C₂²	semidirect
153. C₂×#88149	C₂²	semidirect
154. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
155. #11719199	C₂²	semidirect
156. #11719198	C₂²	semidirect
157. C₂×#88138	C₂²	semidirect
158. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
162. C₂×C₁₃×#41	C₂³	semidirect
163. C₂²×D₄×C₁₃	C₂³	semidirect
164. C₂²×D₄×C₁₃	C₂³	semidirect
165. C₂²×D₄×C₁₃	C₂³	semidirect
166. C₂²×D₄×C₁₃	C₂³	semidirect
167. C₂³×C₄×C₁₃	C₂³	semidirect
168. C₂²×C₂²⋊D₁₃	C₂³	semidirect
169. C₂²×C₂²⋊D₁₃	C₂³	semidirect
170. C₂²×C₂²⋊D₁₃	C₂³	semidirect
171. C₂²×C₂²⋊D₁₃	C₂³	semidirect
172. C₂²×C₂²⋊D₁₃	C₂³	semidirect
173. C₂²×C₂²⋊D₁₃	C₂³	semidirect
174. C₂³×Dic₁₃	C₂³	semidirect
176. C₂×#6131	C₂³	semidirect
178. C₂×#6129	C₂³	semidirect
179. C₂×#6129	C₂³	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×#6127	C₂³	semidirect
205. C₂×#6127	C₂³	semidirect
206. C₂²×D₅₂	C₂³	semidirect
207. C₂²×D₅₂	C₂³	semidirect
208. C₂²×D₅₂	C₂³	semidirect
209. C₂²×D₅₂	C₂³	semidirect
218. C₂²×C₄×D₁₃	C₂³	semidirect
219. C₂²×C₄×D₁₃	C₂³	semidirect
220. C₂²×C₄×D₁₃	C₂³	semidirect
221. C₂²×C₄×D₁₃	C₂³	semidirect
222. C₁₃×#127	C₂³	semidirect
223. C₁₃×#127	C₂³	semidirect
224. C₁₃×#126	C₂³	semidirect
225. C₁₃×#125	C₂³	semidirect
226. C₁₃×#124	C₂³	semidirect
227. C₁₃×#123	C₂³	semidirect
228. C₁₃×#123	C₂³	semidirect
229. C₁₃×#123	C₂³	semidirect
230. C₁₃×C₂²⋊Q₈	C₂³	semidirect
231. C₁₃×#121	C₂³	semidirect
232. C₁₃×#121	C₂³	semidirect
233. C₁₃×#121	C₂³	semidirect
234. C₁₃×#121	C₂³	semidirect
235. C₁₃×#121	C₂³	semidirect
236. C₁₃×#121	C₂³	semidirect
237. C₁₃×#121	C₂³	semidirect
238. C₁₃×#121	C₂³	semidirect
239. C₁₃×#121	C₂³	semidirect
240. C₁₃×#120	C₂³	semidirect
241. C₁₃×#120	C₂³	semidirect
242. C₁₃×#120	C₂³	semidirect
243. C₁₃×#120	C₂³	semidirect
244. C₁₃×#120	C₂³	semidirect
245. C₄×D₄×C₁₃	C₂³	semidirect
246. C₄×D₄×C₁₃	C₂³	semidirect
247. C₄×D₄×C₁₃	C₂³	semidirect
248. C₁₃×#117	C₂³	semidirect
249. C₁₃×#117	C₂³	semidirect
250. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
251. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
252. #88207	C₂³	semidirect
253. #88207	C₂³	semidirect
254. #88207	C₂³	semidirect
255. #88207	C₂³	semidirect
256. #88207	C₂³	semidirect
257. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
258. #88201	C₂³	semidirect
259. #88200	C₂³	semidirect
260. #88194	C₂³	semidirect
261. #88194	C₂³	semidirect
262. #88194	C₂³	semidirect
263. #88194	C₂³	semidirect
264. #88194	C₂³	semidirect
265. #88194	C₂³	semidirect
266. #88193	C₂³	semidirect
267. #88193	C₂³	semidirect
268. #88193	C₂³	semidirect
269. #88193	C₂³	semidirect
270. #88193	C₂³	semidirect
271. #88193	C₂³	semidirect
272. #88193	C₂³	semidirect
273. #88193	C₂³	semidirect
274. #88193	C₂³	semidirect
275. #88193	C₂³	semidirect
276. #88193	C₂³	semidirect
277. #88193	C₂³	semidirect
278. #88192	C₂³	semidirect
279. #88192	C₂³	semidirect
280. #88192	C₂³	semidirect
281. #88192	C₂³	semidirect
282. #88192	C₂³	semidirect
283. #88192	C₂³	semidirect
284. #88192	C₂³	semidirect
285. #88192	C₂³	semidirect
286. #88192	C₂³	semidirect
287. #88191	C₂³	semidirect
288. #88191	C₂³	semidirect
289. #88191	C₂³	semidirect
290. #88191	C₂³	semidirect
291. #88191	C₂³	semidirect
292. #88191	C₂³	semidirect
293. #88191	C₂³	semidirect
294. #88191	C₂³	semidirect
295. #88191	C₂³	semidirect
296. #88191	C₂³	semidirect
297. #88191	C₂³	semidirect
298. #88191	C₂³	semidirect
299. #88190	C₂³	semidirect
300. #88189	C₂³	semidirect
301. #88189	C₂³	semidirect
302. #88189	C₂³	semidirect
303. D₄×Dic₁₃	C₂³	semidirect
304. D₄×Dic₁₃	C₂³	semidirect
305. D₄×Dic₁₃	C₂³	semidirect
306. #88184	C₂³	semidirect
307. #88184	C₂³	semidirect
308. #88184	C₂³	semidirect
309. #88184	C₂³	semidirect
310. #88184	C₂³	semidirect
311. #88184	C₂³	semidirect
312. #88184	C₂³	semidirect
313. #88184	C₂³	semidirect
314. #88184	C₂³	semidirect
315. #88183	C₂³	semidirect
316. #88183	C₂³	semidirect
317. #88183	C₂³	semidirect
318. C₄×C₂²⋊D₁₃	C₂³	semidirect
319. C₄×C₂²⋊D₁₃	C₂³	semidirect
320. C₄×C₂²⋊D₁₃	C₂³	semidirect
321. C₄×C₂²⋊D₁₃	C₂³	semidirect
322. C₄×C₂²⋊D₁₃	C₂³	semidirect
323. C₂×#6103	C₂³	semidirect
324. C₂×#6103	C₂³	semidirect
325. #88180	C₂³	semidirect
326. #88180	C₂³	semidirect
327. C₂×C₄⋊Dic₁₃	C₂³	semidirect
328. #88178	C₂³	semidirect
329. C₂×#6101	C₂³	semidirect
330. #88152	C₂³	semidirect
331. #88152	C₂³	semidirect
332. #88152	C₂³	semidirect
333. #88151	C₂³	semidirect
334. #88150	C₂³	semidirect
335. #88149	C₂³	semidirect
336. #88149	C₂³	semidirect
337. #88149	C₂³	semidirect
338. #88149	C₂³	semidirect
339. #88149	C₂³	semidirect
340. #88149	C₂³	semidirect
341. #88149	C₂³	semidirect
342. #88149	C₂³	semidirect
343. #88149	C₂³	semidirect
344. #88148	C₂³	semidirect
345. #88148	C₂³	semidirect
346. #88148	C₂³	semidirect
347. #88148	C₂³	semidirect
348. #88148	C₂³	semidirect
349. #88147	C₂³	semidirect
350. #88147	C₂³	semidirect
351. #88147	C₂³	semidirect
352. #88146	C₂³	semidirect
353. #88146	C₂³	semidirect
359. C₄⋊C₄×D₁₃	C₂³	semidirect
360. C₄⋊C₄×D₁₃	C₂³	semidirect
361. #88144	C₂³	semidirect
362. #88143	C₂³	semidirect
363. #88140	C₂³	semidirect
364. #88140	C₂³	semidirect
365. #88140	C₂³	semidirect
366. #88139	C₂³	semidirect
367. #88139	C₂³	semidirect
368. #88138	C₂³	semidirect
369. #88138	C₂³	semidirect
370. #88138	C₂³	semidirect
371. #88138	C₂³	semidirect
372. #88138	C₂³	semidirect
373. #88138	C₂³	semidirect
374. #88138	C₂³	semidirect
375. #88138	C₂³	semidirect
376. #88138	C₂³	semidirect
377. #88138	C₂³	semidirect
378. #88138	C₂³	semidirect
379. #88138	C₂³	semidirect
380. #88137	C₂³	semidirect
381. #88137	C₂³	semidirect
382. #88137	C₂³	semidirect
383. #88137	C₂³	semidirect
384. #88137	C₂³	semidirect
385. #88136	C₂³	semidirect
386. #88136	C₂³	semidirect
387. #88136	C₂³	semidirect
388. #88136	C₂³	semidirect
389. #88136	C₂³	semidirect
390. #88136	C₂³	semidirect
391. #88136	C₂³	semidirect
392. #88136	C₂³	semidirect
393. #88136	C₂³	semidirect
394. #88136	C₂³	semidirect
395. #88136	C₂³	semidirect
396. #88136	C₂³	semidirect
397. #88135	C₂³	semidirect
398. #88135	C₂³	semidirect
399. #88135	C₂³	semidirect
400. #88135	C₂³	semidirect
401. #88135	C₂³	semidirect
410. C₂²⋊C₄×D₁₃	C₂³	semidirect
411. C₂²⋊C₄×D₁₃	C₂³	semidirect
412. #88133	C₂³	semidirect
413. #88133	C₂³	semidirect
414. #88133	C₂³	semidirect
415. #88132	C₂³	semidirect
416. #88131	C₂³	semidirect
417. #88131	C₂³	semidirect
418. #88130	C₂³	semidirect
419. #88129	C₂³	semidirect
420. #88128	C₂³	semidirect
421. #88128	C₂³	semidirect
422. C₄×D₅₂	C₂³	semidirect
423. C₄×D₅₂	C₂³	semidirect
424. C₄×D₅₂	C₂³	semidirect
425. #88126	C₂³	semidirect
426. #88126	C₂³	semidirect
429. #88124	C₂³	semidirect
639. #3537	D₁₃	direct (N × H)
793. #560	C₂×D₁₃	semidirect
805. #553	C₂×D₁₃	semidirect
826. D₄²	C₂×D₁₃	semidirect
827. D₄²	C₂×D₁₃	semidirect
835. #540	C₂×D₁₃	semidirect
845. #538	C₂×D₁₃	semidirect
855. #535	C₂×D₁₃	semidirect
865. #534	C₂×D₁₃	semidirect
879. #525	C₂×D₁₃	semidirect
902. C₂×#121	C₂×D₁₃	semidirect
972. C₂×#41	C₂²×D₁₃	semidirect
1008. C₂²×D₄	C₂²×D₁₃	semidirect
1009. C₂²×D₄	C₂²×D₁₃	semidirect
1010. C₂²×D₄	C₂²×D₁₃	semidirect
1011. C₂²×D₄	C₂²×D₁₃	semidirect
1025. C₂³×C₄	C₂²×D₁₃	semidirect
1034. #127	C₂²×D₁₃	semidirect
1035. #127	C₂²×D₁₃	semidirect
1043. #126	C₂²×D₁₃	semidirect
1047. #125	C₂²×D₁₃	semidirect
1053. #124	C₂²×D₁₃	semidirect
1073. #123	C₂²×D₁₃	semidirect
1074. #123	C₂²×D₁₃	semidirect
1075. #123	C₂²×D₁₃	semidirect
1081. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1133. #121	C₂²×D₁₃	semidirect
1134. #121	C₂²×D₁₃	semidirect
1135. #121	C₂²×D₁₃	semidirect
1136. #121	C₂²×D₁₃	semidirect
1137. #121	C₂²×D₁₃	semidirect
1138. #121	C₂²×D₁₃	semidirect
1139. #121	C₂²×D₁₃	semidirect
1140. #121	C₂²×D₁₃	semidirect
1141. #121	C₂²×D₁₃	semidirect
1171. #120	C₂²×D₁₃	semidirect
1172. #120	C₂²×D₁₃	semidirect
1173. #120	C₂²×D₁₃	semidirect
1174. #120	C₂²×D₁₃	semidirect
1175. #120	C₂²×D₁₃	semidirect
1195. C₄×D₄	C₂²×D₁₃	semidirect
1196. C₄×D₄	C₂²×D₁₃	semidirect
1197. C₄×D₄	C₂²×D₁₃	semidirect
1206. #117	C₂²×D₁₃	semidirect
1207. #117	C₂²×D₁₃	semidirect
1217. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1231. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1244. D₁₃	#3537	direct (N × H)
1443. C₁₃	C₂×#3537	semidirect

Maximal subgroups

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

subgroup	index
#13129075	2
#13129074	2
#13129073	2
#13129072	2
#13129071	2
#13129070	2
#13129069	2
#13129068	2
#13129067	2
#13129066	2
D₁₃×#560	2
D₁₃×#553	2
D₄²×D₁₃	2
D₁₃×#540	2
D₁₃×#538	2
D₁₃×#535	2
D₁₃×#534	2
D₁₃×#525	2
C₂×D₁₃×#121	2
C₁₃×#3537	2
C₂×#3537	13

Subgroups — D13×#3537 #16770148

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3537 #16770148