Finite Group Databasebeta

← D13×#2467 #16030601

Subgroups — D13×#2467 #16030601

Order 3328.

3330 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#126C211yesmaximal, characteristic, complemented
2C2×C4×D4×D13C211yesmaximal, characteristic, complemented
3#13118894C211yesmaximal, characteristic, complemented
4#13118893C211yesmaximal, characteristic, complemented
5#13118892C211yesmaximal, characteristic, complemented
6#13118891C211yesmaximal, characteristic, complemented
7#13118890C211yesmaximal, characteristic, complemented
8#13118889C211yesmaximal, characteristic, complemented
9#13118888C211yesmaximal, characteristic, complemented
10#13118887C211yesmaximal, characteristic, complemented
11#13118886C211yesmaximal, characteristic, complemented
12#13118885C211yesmaximal, characteristic, complemented
13#13118884C211yesmaximal, characteristic, complemented
14#13118883C211yesmaximal, characteristic, complemented
15#13118882C211yesmaximal, characteristic, complemented
16#13118881C211yesmaximal, characteristic, complemented
17#13118880C211yesmaximal, characteristic, complemented
18D13×#399C211yesmaximal, characteristic, complemented
19D13×#394C211yesmaximal, characteristic, complemented
20D13×#394C211yesmaximal, characteristic, complemented
21D13×#392C211yesmaximal, characteristic
22D13×#390C211yesmaximal, characteristic, complemented
23D13×#388C211yesmaximal, characteristic, complemented
24D13×#388C211yesmaximal, characteristic, complemented
25D13×#387C211yesmaximal, characteristic, complemented
26D13×#387C211yesmaximal, characteristic, complemented
27D13×#386C211yesmaximal, characteristic, complemented
28D13×#386C211yesmaximal, characteristic, complemented
29D13×#380C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2467C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C22×D4×D13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic
36C23×C4×D13C2211yescharacteristic
37C2×C13×#126C2211yescharacteristic, complemented
38C2×C4×D4×C13C2211yescharacteristic, complemented
39C2×D4×Dic13C2211yescharacteristic, complemented
40C2×C4×C22⋊D13C2211yescharacteristic, complemented
41C2×C4×C22⋊D13C2211yescharacteristic, complemented
42D13×#126—28no—
43C4×D4×D13—28no—
44C2×#88152C2211yescharacteristic, complemented
45C2×#88152C2211yescharacteristic, complemented
46C2×#88152C2211yescharacteristic, complemented
47C2×#88147C2211yescharacteristic, complemented
48C2×C4⋊C4×D13C2211yescharacteristic
49C2×C4⋊C4×D13C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×C4⋊C4×D13C2211yescharacteristic
52C2×C4⋊C4×D13C2211yescharacteristic
53C2×C4⋊C4×D13C2211yescharacteristic
54C2×#88135C2211yescharacteristic, complemented
55C2×#88135C2211yescharacteristic, complemented
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×C22⋊C4×D13C2211yescharacteristic
58C2×C22⋊C4×D13C2211yescharacteristic
59C2×C22⋊C4×D13C2211yescharacteristic
60C2×C22⋊C4×D13C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×C22⋊C4×D13C2211yescharacteristic
63C2×C22⋊C4×D13C2211yescharacteristic
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×C22⋊C4×D13C2211yescharacteristic
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×C22⋊C4×D13C2211yescharacteristic
68C2×C22⋊C4×D13C2211yescharacteristic
69C2×#88133C2211yescharacteristic, complemented
70C2×#88133C2211yescharacteristic, complemented
71C2×#88133C2211yescharacteristic, complemented
72C2×#88130C2211yescharacteristic, complemented
73C2×C4×D52C2211yescharacteristic, complemented
74C2×C42×D13C2211yescharacteristic
75C2×C42×D13C2211yescharacteristic
76C2×C42×D13C2211yescharacteristic
77C13×#399C2211yescharacteristic, complemented
78C13×#394C2211yescharacteristic, complemented
79C13×#394C2211yescharacteristic, complemented
80C13×#392C2211yescharacteristic
81C13×#390C2211yescharacteristic, complemented
82C13×#388C2211yescharacteristic, complemented
83C13×#388C2211yescharacteristic, complemented
84C13×#387C2211yescharacteristic, complemented
85C13×#387C2211yescharacteristic, complemented
86C13×#386C2211yescharacteristic, complemented
87C13×#386C2211yescharacteristic, complemented
88C13×#380C2211yescharacteristic, complemented
89C4×C13×C22⋊C4C2211yescharacteristic, complemented
90#11718884C2211yescharacteristic
91#11718884C2211yescharacteristic
92#11718884C2211yescharacteristic
93#11718883C2211yescharacteristic, complemented
94#11718883C2211yescharacteristic, complemented
95#11718882C2211yescharacteristic, complemented
96#11718881C2211yescharacteristic, complemented
97#11718881C2211yescharacteristic, complemented
98#11718874C2211yescharacteristic, complemented
99#11718874C2211yescharacteristic, complemented
100#11718873C2211yescharacteristic, complemented
101C4×C22⋊Dic13C2211yescharacteristic, complemented
102#11718653C2211yescharacteristic, complemented
103#11718653C2211yescharacteristic, complemented
104#11718653C2211yescharacteristic, complemented
105#11718652C2211yescharacteristic, complemented
106#11718652C2211yescharacteristic, complemented
107#11718651C2211yescharacteristic, complemented
108#11718651C2211yescharacteristic, complemented
109#11718649C2211yescharacteristic, complemented
110#11718648C2211yescharacteristic, complemented
111#11718648C2211yescharacteristic, complemented
112#11718642C2211yescharacteristic, complemented
113#11718642C2211yescharacteristic, complemented
114#11718639C2211yescharacteristic, complemented
115#11718639C2211yescharacteristic, complemented
116#11718622C2211yescharacteristic, complemented
117#11718622C2211yescharacteristic, complemented
118#11718622C2211yescharacteristic, complemented
119#11718622C2211yescharacteristic, complemented
120#11718621C2211yescharacteristic
121#11718621C2211yescharacteristic
122#11718621C2211yescharacteristic
123#11718620C2211yescharacteristic, complemented
124#11718620C2211yescharacteristic, complemented
125#11718620C2211yescharacteristic, complemented
126#11718620C2211yescharacteristic, complemented
127#11718619C2211yescharacteristic, complemented
128#11718619C2211yescharacteristic, complemented
129#11718618C2211yescharacteristic, complemented
130#11718618C2211yescharacteristic, complemented
131#11718618C2211yescharacteristic, complemented
132#11718618C2211yescharacteristic, complemented
133#11718617C2211yescharacteristic, complemented
134#11718617C2211yescharacteristic, complemented
135#11718617C2211yescharacteristic, complemented
136#11718617C2211yescharacteristic, complemented
137#11718612C2211yescharacteristic, complemented
138#11718612C2211yescharacteristic, complemented
139#11718610C2211yescharacteristic, complemented
140#11718610C2211yescharacteristic, complemented
141#11718610C2211yescharacteristic, complemented
142#11718606C2211yescharacteristic, complemented
143#11718606C2211yescharacteristic, complemented
144#11718605C2211yescharacteristic, complemented
145#11718605C2211yescharacteristic, complemented
146#11718603C2211yescharacteristic, complemented
147#11718603C2211yescharacteristic, complemented
148C22⋊C4×Dic13C2211yescharacteristic, complemented
149C22⋊C4×Dic13C2211yescharacteristic, complemented
150#11718601C2211yescharacteristic, complemented
151#11718601C2211yescharacteristic, complemented
152#11718600C2211yescharacteristic, complemented
153C4×#6103C2211yescharacteristic, complemented
154C4×#6103C2211yescharacteristic, complemented
155#11718594C2211yescharacteristic, complemented
156#11718594C2211yescharacteristic, complemented
157#11718338C2211yescharacteristic, complemented
158#11718333C2211yescharacteristic, complemented
159#11718333C2211yescharacteristic, complemented
160#11718332C2211yescharacteristic
161#11718331C2211yescharacteristic, complemented
162#11718331C2211yescharacteristic, complemented
163#11718330C2211yescharacteristic, complemented
164#11718330C2211yescharacteristic, complemented
165#11718328C2211yescharacteristic, complemented
166#11718328C2211yescharacteristic, complemented
167#11718327C2211yescharacteristic, complemented
168#11718327C2211yescharacteristic, complemented
169#11718326C2211yescharacteristic, complemented
170#11718326C2211yescharacteristic, complemented
171#11718326C2211yescharacteristic, complemented
172#11718326C2211yescharacteristic, complemented
173D13×#95C2211yescharacteristic
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176D13×#95C2211yescharacteristic
177D13×#95C2211yescharacteristic
178D13×#95C2211yescharacteristic
179D13×#95C2211yescharacteristic
180D13×#95C2211yescharacteristic
181#11718316C2211yescharacteristic, complemented
182#11718316C2211yescharacteristic, complemented
183#11718315C2211yescharacteristic, complemented
184#11718315C2211yescharacteristic, complemented
185#11718314C2211yescharacteristic, complemented
186#11718314C2211yescharacteristic, complemented
187#11718313C2211yescharacteristic, complemented
188#11718313C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C24×D13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C2×D4×D13—24no—
206C2×D4×D13—24no—
207C2×D4×D13—24no—
208C2×D4×D13—24no—
209C2×D4×D13—24no—
210C2×D4×D13—24no—
211C2×D4×D13—42no—
212C2×D4×D13—42no—
213C2×D4×D13—42no—
214C22×D52C2311yescharacteristic
215C22×D52C2311yescharacteristic
216C22×D52C2311yescharacteristic
217C22×C4×D13—24no—
218C22×C4×D13—24no—
219C22×C4×D13—24no—
220C22×C4×D13—24no—
221C22×C4×D13—42no—
222C22×C4×D13—42no—
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
228C22×C4×D13C2311yescharacteristic
229C22×C4×D13C2311yescharacteristic
230C22×C4×D13C2311yescharacteristic
231C22×C4×D13C2311yescharacteristic
232C22×C4×D13C2311yescharacteristic
233C22×C4×D13C2311yescharacteristic
234C22×C4×D13C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C22×C4×D13C2311yescharacteristic
237C22×C4×D13C2311yescharacteristic
238C22×C4×D13C2311yescharacteristic
239C13×#126—24no—
240C4×D4×C13—24no—
241C2×C13×C4⋊C4C2311yescharacteristic
242C2×C13×C4⋊C4C2311yescharacteristic
243C2×C13×C4⋊C4C2311yescharacteristic
244C2×C13×C4⋊C4C2311yescharacteristic
245C2×C13×C4⋊C4C2311yescharacteristic
246C2×C13×C4⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4C2311yescharacteristic
251C2×C13×C22⋊C4C2311yescharacteristic
252C2×C13×C22⋊C4C2311yescharacteristic
253C2×C13×C22⋊C4C2311yescharacteristic
254C2×C13×C22⋊C4C2311yescharacteristic
255C2×C13×C22⋊C4C2311yescharacteristic
256C2×C13×C22⋊C4C2311yescharacteristic
257C2×C13×C22⋊C4C2311yescharacteristic
258C2×C13×C22⋊C4C2311yescharacteristic
259C2×C13×C22⋊C4C2311yescharacteristic
260C2×C42×C13C2311yescharacteristic
261C2×C42×C13C2311yescharacteristic
262C2×C42×C13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265C2×C22⋊Dic13C2311yescharacteristic
266C2×C22⋊Dic13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272C2×C22⋊Dic13C2311yescharacteristic
273C2×C22⋊Dic13C2311yescharacteristic
274C2×C22⋊Dic13C2311yescharacteristic
275C2×C22⋊Dic13C2311yescharacteristic
276D4×Dic13—24no—
277C4×C22⋊D13—24no—
278C4×C22⋊D13—24no—
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×#6103C2311yescharacteristic
305C2×C4⋊Dic13C2311yescharacteristic
306C2×C4⋊Dic13C2311yescharacteristic
307C2×C4⋊Dic13C2311yescharacteristic
308C2×C4⋊Dic13C2311yescharacteristic
309C2×C4⋊Dic13C2311yescharacteristic
310C2×C4⋊Dic13C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326C2×C4×Dic13C2311yescharacteristic
327C2×C4×Dic13C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×C4×Dic13C2311yescharacteristic
332#88152—24no—
333#88152—24no—
334#88152—24no—
335#88147—24no—
336C4⋊C4×D13—24no—
337C4⋊C4×D13—24no—
338C4⋊C4×D13—24no—
339C4⋊C4×D13—42no—
340C4⋊C4×D13—42no—
341C4⋊C4×D13D418yescomplemented
342#88135—24no—
343#88135—24no—
344C22⋊C4×D13—24no—
345C22⋊C4×D13—24no—
346C22⋊C4×D13—24no—
347C22⋊C4×D13—24no—
348C22⋊C4×D13—24no—
349C22⋊C4×D13—24no—
350C22⋊C4×D13—24no—
351C22⋊C4×D13—24no—
352C22⋊C4×D13—24no—
353C22⋊C4×D13—42no—
354C22⋊C4×D13—42no—
355C22⋊C4×D13—42no—
356C22⋊C4×D13—42no—
357#88133—24no—
358#88133—24no—
359#88133—24no—
360#88130—24no—
361C4×D52—24no—
362C42×D13—24no—
363C42×D13—24no—
364C42×D13—42no—
365C13×#95C2311yescharacteristic
366C13×#95C2311yescharacteristic
367C13×#95C2311yescharacteristic
368C13×#95C2311yescharacteristic
369C13×#95C2311yescharacteristic
370C13×#95C2311yescharacteristic
371C13×#95C2311yescharacteristic
372C13×#95C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#88071C2311yescharacteristic
392#88071C2311yescharacteristic
393#88071C2311yescharacteristic
394#88071C2311yescharacteristic
395#88071C2311yescharacteristic
396#88071C2311yescharacteristic
397C2×#2467—131nomaximal, Sylow
398C24×C13C2411yescharacteristic
399C24×C13C2411yescharacteristic
400C24×C13C2411yescharacteristic
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—22no—
405C23×D13—22no—
406C23×D13—22no—
407C23×D13—22no—
408C23×D13—22no—
409C23×D13—22no—
410C23×D13—22no—
411C23×D13—22no—
412C23×D13—22no—
413C23×D13—22no—
414C23×D13—22no—
415C23×D13—22no—
416C23×D13—22no—
417C23×D13—22no—
418C23×D13—22no—
419C23×D13—22no—
420C23×D13#4114yes—
421C23×D13#4114yes—
422C23×D13C2411yescharacteristic
423C23×D13C2411yescharacteristic
424C23×D13C2411yescharacteristic
425C23×D13C2411yescharacteristic
426C2×D4×C13—22no—
427C2×D4×C13—22no—
428C2×D4×C13—22no—
429C2×D4×C13—22no—
430C2×D4×C13—22no—
431C2×D4×C13—22no—
432C2×D4×C13—41no—
433C2×D4×C13—41no—
434C2×D4×C13—41no—
435C22×C4×C13—22no—
436C22×C4×C13—22no—
437C22×C4×C13—22no—
438C22×C4×C13—22no—
439C22×C4×C13—41no—
440C22×C4×C13—41no—
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C22×C4×C13C2411yescharacteristic
444C22×C4×C13C2411yescharacteristic
445C22×C4×C13C2411yescharacteristic
446C22×C4×C13C2411yescharacteristic
447C22×C4×C13C2411yescharacteristic
448C22×C4×C13C2411yescharacteristic
449C22×C4×C13C2411yescharacteristic
450C22×C4×C13C2411yescharacteristic
451C22×C4×C13C2411yescharacteristic
452C22×C4×C13C2411yescharacteristic
453C2×C22⋊D13—22no—
454C2×C22⋊D13—22no—
455C2×C22⋊D13—22no—
456C2×C22⋊D13—22no—
457C2×C22⋊D13—22no—
458C2×C22⋊D13—22no—
459C2×C22⋊D13—22no—
460C2×C22⋊D13—22no—
461C2×C22⋊D13—22no—
462C2×C22⋊D13—22no—
463C2×C22⋊D13—22no—
464C2×C22⋊D13—22no—
465C2×C22⋊D13—41no—
466C2×C22⋊D13—41no—
467C2×C22⋊D13—41no—
468C2×C22⋊D13—41no—
469C2×C22⋊D13—41no—
470C2×C22⋊D13—41no—
471C22×Dic13—22no—
472C22×Dic13—22no—
473C22×Dic13—22no—
474C22×Dic13—22no—
475C22×Dic13—41no—
476C22×Dic13—41no—
477C22×Dic13C2411yescharacteristic
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2411yescharacteristic
486C22×Dic13C2411yescharacteristic
487C22×Dic13C2411yescharacteristic
488C22×Dic13C2411yescharacteristic
489D4×D13—232no—
490D4×D13—416no—
491D4×D13—416no—
492C2×D52—22no—
493C2×D52—22no—
494C2×D52—22no—
495C2×D52—22no—
496C2×D52—22no—
497C2×D52—22no—
498C2×D52—41no—
499C2×D52—41no—
500C2×D52—41no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—22no—
511C2×C4×D13—22no—
512C2×C4×D13—22no—
513C2×C4×D13—22no—
514C2×C4×D13—22no—
515C2×C4×D13—22no—
516C2×C4×D13—22no—
517C2×C4×D13—22no—
518C2×C4×D13—22no—
519C2×C4×D13—22no—
520C2×C4×D13—22no—
521C2×C4×D13—22no—
522C2×C4×D13—22no—
523C2×C4×D13—22no—
524C2×C4×D13—22no—
525C2×C4×D13—22no—
526C2×C4×D13—22no—
527C2×C4×D13—22no—
528C2×C4×D13—22no—
529C2×C4×D13—22no—
530C2×C4×D13—22no—
531C2×C4×D13—22no—
532C2×C4×D13—22no—
533C2×C4×D13—22no—
534C2×C4×D13—22no—
535C2×C4×D13—22no—
536C2×C4×D13—22no—
537C2×C4×D13—22no—
538C2×C4×D13—22no—
539C2×C4×D13—22no—
540C2×C4×D13—416no—
541C2×C4×D13—416no—
542C2×C4×D13—41no—
543C2×C4×D13—41no—
544C2×C4×D13—41no—
545C2×C4×D13—41no—
546C2×C4×D13C2×D414yes—
547C2×C4×D13C2×D414yes—
548C2×C4×D13C2×D414yes—
549C2×C4×D13#4114yes—
550C2×C4×D13#4114yes—
551C13×C4⋊C4—22no—
552C13×C4⋊C4—22no—
553C13×C4⋊C4—22no—
554C13×C4⋊C4—41no—
555C13×C4⋊C4—41no—
556C13×C4⋊C4C2×D414yescomplemented
557C13×C22⋊C4—22no—
558C13×C22⋊C4—22no—
559C13×C22⋊C4—22no—
560C13×C22⋊C4—22no—
561C13×C22⋊C4—22no—
562C13×C22⋊C4—22no—
563C13×C22⋊C4—22no—
564C13×C22⋊C4—22no—
565C13×C22⋊C4—22no—
566C13×C22⋊C4—41no—
567C13×C22⋊C4—41no—
568C13×C22⋊C4—41no—
569C13×C22⋊C4—41no—
570C42×C13—22no—
571C42×C13—22no—
572C42×C13—41no—
573C22⋊Dic13—22no—
574C22⋊Dic13—22no—
575C22⋊Dic13—22no—
576C22⋊Dic13—22no—
577C22⋊Dic13—22no—
578C22⋊Dic13—22no—
579C22⋊Dic13—22no—
580C22⋊Dic13—22no—
581C22⋊Dic13—22no—
582C22⋊Dic13—41no—
583C22⋊Dic13—41no—
584C22⋊Dic13—41no—
585C22⋊Dic13—41no—
586#6103—22no—
587#6103—22no—
588#6103—22no—
589#6103—22no—
590#6103—22no—
591#6103—22no—
592#6103—22no—
593#6103—22no—
594#6103—22no—
595#6103—22no—
596#6103—22no—
597#6103—22no—
598#6103—22no—
599#6103—22no—
600#6103—22no—
601#6103—22no—
602#6103—22no—
603#6103—22no—
604#6103—41no—
605#6103—41no—
606#6103—41no—
607#6103—41no—
608#6103—41no—
609#6103—41no—
610#6103—41no—
611#6103—41no—
612C4⋊Dic13—22no—
613C4⋊Dic13—22no—
614C4⋊Dic13—22no—
615C4⋊Dic13—41no—
616C4⋊Dic13—41no—
617C4⋊Dic13C2×D414yescomplemented
618#6101—22no—
619#6101—22no—
620#6101—22no—
621#6101—22no—
622#6101—22no—
623#6101—22no—
624#6101—41no—
625#6101—41no—
626#6101—41no—
627#6101—41no—
628#6101C2×D414yescomplemented
629#6101C2×D414yescomplemented
630C4×Dic13—22no—
631C4×Dic13—22no—
632C4×Dic13—22no—
633C4×Dic13—22no—
634C4×Dic13—22no—
635C4×Dic13—22no—
636C4×Dic13—41no—
637C4×Dic13—41no—
638C4×Dic13—41no—
639C22×#126—131no—
640C22×C4×D4—131no—
641#2467—131no—
642#2467—131no—
643#2467—131no—
644#2467—131no—
645#2467—131no—
646#2467—131no—
647#2467—131no—
648#2467—131no—
649#2467—131no—
650#2467—131no—
651#2467—131no—
652#2467—131no—
653#2467—131no—
654#2467—131no—
655#2467—131no—
656#2467D1311yescharacteristic, direct product factor
657C2×#399—131no—
658C2×#394—131no—
659C2×#394—131no—
660C2×#392—131no—
661C2×#390—131no—
662C2×#388—131no—
663C2×#388—131no—
664C2×#387—131no—
665C2×#387—131no—
666C2×#386—131no—
667C2×#386—131no—
668C2×#380—131no—
669C2×C4×C22⋊C4—131no—
670C23×C13—21no—
671C23×C13—21no—
672C23×C13—21no—
673C23×C13—21no—
674C23×C13—21no—
675C23×C13—21no—
676C23×C13—21no—
677C23×C13—21no—
678C23×C13—21no—
679C23×C13—21no—
680C23×C13—21no—
681C23×C13—21no—
682C23×C13—21no—
683C23×C13—21no—
684C23×C13—21no—
685C23×C13—21no—
686C23×C13—21no—
687C23×C13—21no—
688C23×C13—21no—
689C23×C13C2×#4112yes—
690C23×C13C2×#4112yes—
691C23×C13C2511yescharacteristic
692C22×D13—21no—
693C22×D13—21no—
694C22×D13—21no—
695C22×D13—21no—
696C22×D13—21no—
697C22×D13—21no—
698C22×D13—21no—
699C22×D13—21no—
700C22×D13—21no—
701C22×D13—21no—
702C22×D13—21no—
703C22×D13—21no—
704C22×D13—28no—
705C22×D13—28no—
706C22×D13—28no—
707C22×D13—28no—
708C22×D13—28no—
709C22×D13—28no—
710C22×D13—21no—
711C22×D13—21no—
712C22×D13—21no—
713C22×D13—21no—
714C22×D13—21no—
715C22×D13—21no—
716C22×D13—21no—
717C22×D13—44no—
718C22×D13—44no—
719C22×D13—44no—
720C22×D13—44no—
721C22×D13—44no—
722C22×D13—44no—
723C22×D13—44no—
724C22×D13—44no—
725C22×D13—44no—
726C22×D13—44no—
727C22×D13—44no—
728C22×D13—44no—
729C22×D13—44no—
730C22×D13—44no—
731C22×D13—44no—
732C22×D13C22×D412yes—
733C22×D13C2×#4112yes—
734C22×D13C2×#4112yes—
735C22×D13C2×#4112yes—
736C22×D13C2×#4112yes—
737C22×D13C2×#4112yes—
738C22×D13C2×#4112yes—
739C22×D13H(5,𝔽2)12yes—
740C22×D13H(5,𝔽2)12yes—
741D4×C13—28no—
742D4×C13—44no—
743D4×C13—44no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—21no—
759C2×C4×C13—21no—
760C2×C4×C13—21no—
761C2×C4×C13—21no—
762C2×C4×C13—21no—
763C2×C4×C13—21no—
764C2×C4×C13—21no—
765C2×C4×C13—21no—
766C2×C4×C13—21no—
767C2×C4×C13—21no—
768C2×C4×C13—21no—
769C2×C4×C13—21no—
770C2×C4×C13—21no—
771C2×C4×C13—21no—
772C2×C4×C13—21no—
773C2×C4×C13—21no—
774C2×C4×C13—21no—
775C2×C4×C13—44no—
776C2×C4×C13—44no—
777C2×C4×C13C22×D412yes—
778C2×C4×C13C22×D412yes—
779C2×C4×C13C22×D412yes—
780C2×C4×C13C2×#4112yes—
781C2×C4×C13C2×#4112yes—
782C22⋊D13—28no—
783C22⋊D13—28no—
784C22⋊D13—44no—
785C22⋊D13—44no—
786C22⋊D13—44no—
787C22⋊D13—44no—
788C2×Dic13—21no—
789C2×Dic13—21no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—21no—
798C2×Dic13—21no—
799C2×Dic13—21no—
800C2×Dic13—21no—
801C2×Dic13—21no—
802C2×Dic13—21no—
803C2×Dic13—21no—
804C2×Dic13—21no—
805C2×Dic13—21no—
806C2×Dic13—21no—
807C2×Dic13—21no—
808C2×Dic13—21no—
809C2×Dic13—21no—
810C2×Dic13—21no—
811C2×Dic13—21no—
812C2×Dic13—21no—
813C2×Dic13—21no—
814C2×Dic13—21no—
815C2×Dic13—21no—
816C2×Dic13—21no—
817C2×Dic13—21no—
818C2×Dic13—21no—
819C2×Dic13—44no—
820C2×Dic13—44no—
821C2×Dic13C22×D412yes—
822C2×Dic13C22×D412yes—
823C2×Dic13C22×D412yes—
824C2×Dic13C2×#4112yes—
825C2×Dic13C2×#4112yes—
826D52—28no—
827D52—44no—
828D52—44no—
829C4×D13—28no—
830C4×D13—28no—
831C4×D13—28no—
832C4×D13—28no—
833C4×D13—28no—
834C4×D13—44no—
835C4×D13—44no—
836C4×D13—44no—
837C4×D13—44no—
838C4×D13—44no—
839C4×D13—44no—
840C4×D13—44no—
841C4×D13—44no—
842C4×D13—44no—
843C4×D13—44no—
844C4×D13—44no—
845C23×D4—131no—
846C23×D4—131no—
847C23×D4—131no—
848C24×C4—131no—
849C24×C4—131no—
850C2×#126—131no—
851C2×#126—131no—
852C2×#126—131no—
853C2×#126—131no—
854C2×#126—131no—
855C2×#126—131no—
856C2×#126—131no—
857C2×#126—268no—
858C2×#126C2×D1311yescharacteristic, complemented
859C2×C4×D4—131no—
860C2×C4×D4—131no—
861C2×C4×D4—131no—
862C2×C4×D4—131no—
863C2×C4×D4—131no—
864C2×C4×D4—131no—
865C2×C4×D4—131no—
866C2×C4×D4—268no—
867C2×C4×D4C2×D1311yescharacteristic, complemented
868C22×C4⋊C4—131no—
869C22×C4⋊C4—131no—
870C22×C4⋊C4—131no—
871C22×C4⋊C4—131no—
872C22×C4⋊C4—131no—
873C22×C4⋊C4—131no—
874C22×C22⋊C4—131no—
875C22×C22⋊C4—131no—
876C22×C22⋊C4—131no—
877C22×C22⋊C4—131no—
878C22×C22⋊C4—131no—
879C22×C22⋊C4—131no—
880C22×C22⋊C4—131no—
881C22×C22⋊C4—131no—
882C22×C22⋊C4—131no—
883C22×C22⋊C4—131no—
884C22×C22⋊C4—131no—
885C22×C22⋊C4—131no—
886C22×C22⋊C4—131no—
887C22×C42—131no—
888C22×C42—131no—
889C22×C42—131no—
890#399—131no—
891#399—131no—
892#399—131no—
893#399—131no—
894#399—131no—
895#399—131no—
896#399—131no—
897#399C2×D1311yescharacteristic, complemented
898#394—131no—
899#394—131no—
900#394—131no—
901#394—131no—
902#394—131no—
903#394—131no—
904#394—131no—
905#394—131no—
906#394—131no—
907#394—131no—
908#394—131no—
909#394—131no—
910#394—131no—
911#394—131no—
912#394C2×D1311yescharacteristic, complemented
913#394C2×D1311yescharacteristic, complemented
914#392—131no—
915#392—131no—
916#392—131no—
917#392—131no—
918#392—131no—
919#392—131no—
920#392—131no—
921#392C2×D1311yescharacteristic
922#390—131no—
923#390—131no—
924#390—131no—
925#390—131no—
926#390—131no—
927#390—131no—
928#390—131no—
929#390C2×D1311yescharacteristic, complemented
930#388—131no—
931#388—131no—
932#388—131no—
933#388—131no—
934#388—131no—
935#388—131no—
936#388—131no—
937#388—131no—
938#388—131no—
939#388—131no—
940#388—131no—
941#388—131no—
942#388—131no—
943#388—131no—
944#388C2×D1311yescharacteristic, complemented
945#388C2×D1311yescharacteristic, complemented
946#387—131no—
947#387—131no—
948#387—131no—
949#387—131no—
950#387—131no—
951#387—131no—
952#387—131no—
953#387—131no—
954#387—131no—
955#387—131no—
956#387—131no—
957#387—131no—
958#387—131no—
959#387—131no—
960#387C2×D1311yescharacteristic, complemented
961#387C2×D1311yescharacteristic, complemented
962#386—131no—
963#386—131no—
964#386—131no—
965#386—131no—
966#386—131no—
967#386—131no—
968#386—131no—
969#386—131no—
970#386—131no—
971#386—131no—
972#386—131no—
973#386—131no—
974#386—131no—
975#386—131no—
976#386C2×D1311yescharacteristic, complemented
977#386C2×D1311yescharacteristic, complemented
978#380—131no—
979#380—131no—
980#380—131no—
981#380—131no—
982#380—131no—
983#380—131no—
984#380—131no—
985#380C2×D1311yescharacteristic, complemented
986C4×C22⋊C4—131no—
987C4×C22⋊C4—131no—
988C4×C22⋊C4—131no—
989C4×C22⋊C4—131no—
990C4×C22⋊C4—131no—
991C4×C22⋊C4—131no—
992C4×C22⋊C4—131no—
993C4×C22⋊C4C2×D1311yescharacteristic, complemented
994C2×#95—131no—
995C2×#95—131no—
996C2×#95—131no—
997C2×#95—131no—
998C2×#95—131no—
999C2×#95—131no—
1000C2×#95—131no—
1001C2×#95—131no—
1002C22×C13—22no—
1003C22×C13—22no—
1004C22×C13—22no—
1005C22×C13—22no—
1006C22×C13—22no—
1007C22×C13—22no—
1008C22×C13—41no—
1009C22×C13—41no—
1010C22×C13—41no—
1011C22×C13—41no—
1012C22×C13—41no—
1013C22×C13—41no—
1014C22×C13—41no—
1015C22×C13—41no—
1016C22×C13—41no—
1017C22×C13—41no—
1018C22×C13—41no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13—41no—
1022C22×C13—41no—
1023C22×C13C23×D411yescharacteristic
1024C22×C13C22×#4111yescharacteristic
1025C22×C13C22×#4111yescharacteristic
1026C22×C13C22×#4111yescharacteristic
1027C22×C13C22×#4111yescharacteristic
1028C22×C13C2×H(5,𝔽2)11yescharacteristic
1029C22×C13C2×H(5,𝔽2)11yescharacteristic
1030C2×D13—22no—
1031C2×D13—22no—
1032C2×D13—22no—
1033C2×D13—22no—
1034C2×D13—22no—
1035C2×D13—22no—
1036C2×D13—41no—
1037C2×D13—41no—
1038C2×D13—41no—
1039C2×D13—41no—
1040C2×D13—41no—
1041C2×D13—41no—
1042C2×D13—41no—
1043C2×D13—41no—
1044C2×D13—416no—
1045C2×D13—416no—
1046C2×D13—41no—
1047C2×D13—41no—
1048C2×D13—41no—
1049C2×D13—41no—
1050C2×D13—41no—
1051C2×D13—41no—
1052C2×D13—41no—
1053C2×D13—88no—
1054C2×D13#52514yes—
1055C2×D13#52914yes—
1056C2×D13#53814yes—
1057C2×D13#54614yes—
1058C2×D13#55014yes—
1059C2×D13#55114yes—
1060C2×D13#55314yes—
1061C4×C13—22no—
1062C4×C13—22no—
1063C4×C13—22no—
1064C4×C13—22no—
1065C4×C13—22no—
1066C4×C13—41no—
1067C4×C13—41no—
1068C4×C13—41no—
1069C4×C13—41no—
1070C4×C13—41no—
1071C4×C13—41no—
1072C4×C13—41no—
1073Dic13—22no—
1074Dic13—22no—
1075Dic13—22no—
1076Dic13—22no—
1077Dic13—22no—
1078Dic13—41no—
1079Dic13—41no—
1080Dic13—41no—
1081Dic13—41no—
1082Dic13—41no—
1083Dic13—41no—
1084Dic13—41no—
1085C25—131no—
1086C25—131no—
1087C25—131no—
1088C22×D4—131no—
1089C22×D4—131no—
1090C22×D4—131no—
1091C22×D4—131no—
1092C22×D4—131no—
1093C22×D4—131no—
1094C22×D4—131no—
1095C22×D4—131no—
1096C22×D4—131no—
1097C22×D4—264no—
1098C22×D4—264no—
1099C22×D4—264no—
1100C22×D4—264no—
1101C22×D4—264no—
1102C22×D4—264no—
1103C22×D4—522no—
1104C22×D4—522no—
1105C22×D4—522no—
1106C22×D4C22×D1311yescharacteristic
1107C22×D4C22×D1311yescharacteristic
1108C22×D4C22×D1311yescharacteristic
1109C23×C4—131no—
1110C23×C4—131no—
1111C23×C4—131no—
1112C23×C4—131no—
1113C23×C4—131no—
1114C23×C4—131no—
1115C23×C4—131no—
1116C23×C4—131no—
1117C23×C4—131no—
1118C23×C4—131no—
1119C23×C4—131no—
1120C23×C4—131no—
1121C23×C4—131no—
1122C23×C4—131no—
1123C23×C4—131no—
1124C23×C4—131no—
1125C23×C4—131no—
1126C23×C4—131no—
1127C23×C4—264no—
1128C23×C4—264no—
1129C23×C4—264no—
1130C23×C4—264no—
1131C23×C4—522no—
1132C23×C4—522no—
1133C23×C4C22×D1311yescharacteristic
1134C23×C4C22×D1311yescharacteristic
1135#126—24no—
1136#126—264no—
1137#126—264no—
1138#126—264no—
1139#126—264no—
1140#126—264no—
1141#126—264no—
1142#126—264no—
1143C4×D4—24no—
1144C4×D4—264no—
1145C4×D4—264no—
1146C4×D4—264no—
1147C4×D4—264no—
1148C4×D4—264no—
1149C4×D4—264no—
1150C4×D4—264no—
1151C2×C4⋊C4—131no—
1152C2×C4⋊C4—131no—
1153C2×C4⋊C4—131no—
1154C2×C4⋊C4—138no—
1155C2×C4⋊C4—131no—
1156C2×C4⋊C4—131no—
1157C2×C4⋊C4—131no—
1158C2×C4⋊C4—131no—
1159C2×C4⋊C4—131no—
1160C2×C4⋊C4—131no—
1161C2×C4⋊C4—131no—
1162C2×C4⋊C4—131no—
1163C2×C4⋊C4—131no—
1164C2×C4⋊C4—131no—
1165C2×C4⋊C4—131no—
1166C2×C4⋊C4—131no—
1167C2×C4⋊C4—131no—
1168C2×C4⋊C4—131no—
1169C2×C4⋊C4—131no—
1170C2×C4⋊C4—264no—
1171C2×C4⋊C4—264no—
1172C2×C4⋊C4—264no—
1173C2×C4⋊C4—522no—
1174C2×C4⋊C4—522no—
1175C2×C4⋊C4C22×D1311yescharacteristic
1176C2×C4⋊C4C22×D1311yescharacteristic
1177C2×C4⋊C4C22×D1311yescharacteristic
1178C2×C4⋊C4C22×D1311yescharacteristic
1179C2×C4⋊C4C22×D1311yescharacteristic
1180C2×C4⋊C4C22×D1311yescharacteristic
1181C2×C22⋊C4—131no—
1182C2×C22⋊C4—131no—
1183C2×C22⋊C4—131no—
1184C2×C22⋊C4—131no—
1185C2×C22⋊C4—131no—
1186C2×C22⋊C4—131no—
1187C2×C22⋊C4—131no—
1188C2×C22⋊C4—131no—
1189C2×C22⋊C4—131no—
1190C2×C22⋊C4—131no—
1191C2×C22⋊C4—131no—
1192C2×C22⋊C4—131no—
1193C2×C22⋊C4—131no—
1194C2×C22⋊C4—131no—
1195C2×C22⋊C4—131no—
1196C2×C22⋊C4—131no—
1197C2×C22⋊C4—131no—
1198C2×C22⋊C4—131no—
1199C2×C22⋊C4—131no—
1200C2×C22⋊C4—131no—
1201C2×C22⋊C4—131no—
1202C2×C22⋊C4—131no—
1203C2×C22⋊C4—131no—
1204C2×C22⋊C4—131no—
1205C2×C22⋊C4—131no—
1206C2×C22⋊C4—131no—
1207C2×C22⋊C4—131no—
1208C2×C22⋊C4—131no—
1209C2×C22⋊C4—131no—
1210C2×C22⋊C4—131no—
1211C2×C22⋊C4—131no—
1212C2×C22⋊C4—131no—
1213C2×C22⋊C4—131no—
1214C2×C22⋊C4—131no—
1215C2×C22⋊C4—131no—
1216C2×C22⋊C4—131no—
1217C2×C22⋊C4—131no—
1218C2×C22⋊C4—131no—
1219C2×C22⋊C4—131no—
1220C2×C22⋊C4—264no—
1221C2×C22⋊C4—264no—
1222C2×C22⋊C4—264no—
1223C2×C22⋊C4—264no—
1224C2×C22⋊C4—264no—
1225C2×C22⋊C4—264no—
1226C2×C22⋊C4—264no—
1227C2×C22⋊C4—264no—
1228C2×C22⋊C4—264no—
1229C2×C22⋊C4—522no—
1230C2×C22⋊C4—522no—
1231C2×C22⋊C4—522no—
1232C2×C22⋊C4—522no—
1233C2×C22⋊C4C22×D1311yescharacteristic
1234C2×C22⋊C4C22×D1311yescharacteristic
1235C2×C22⋊C4C22×D1311yescharacteristic
1236C2×C22⋊C4C22×D1311yescharacteristic
1237C2×C22⋊C4C22×D1311yescharacteristic
1238C2×C22⋊C4C22×D1311yescharacteristic
1239C2×C22⋊C4C22×D1311yescharacteristic
1240C2×C22⋊C4C22×D1311yescharacteristic
1241C2×C22⋊C4C22×D1311yescharacteristic
1242C2×C22⋊C4C22×D1311yescharacteristic
1243C2×C22⋊C4C22×D1311yescharacteristic
1244C2×C22⋊C4C22×D1311yescharacteristic
1245C2×C22⋊C4C22×D1311yescharacteristic
1246C2×C42—131no—
1247C2×C42—131no—
1248C2×C42—131no—
1249C2×C42—131no—
1250C2×C42—131no—
1251C2×C42—131no—
1252C2×C42—131no—
1253C2×C42—131no—
1254C2×C42—131no—
1255C2×C42—264no—
1256C2×C42—264no—
1257C2×C42—522no—
1258C2×C42C22×D1311yescharacteristic
1259C2×C42C22×D1311yescharacteristic
1260C2×C42C22×D1311yescharacteristic
1261#95—131no—
1262#95—131no—
1263#95—131no—
1264#95—131no—
1265#95—131no—
1266#95—131no—
1267#95—131no—
1268#95—131no—
1269#95—131no—
1270#95—131no—
1271#95—131no—
1272#95—131no—
1273#95—131no—
1274#95—131no—
1275#95—131no—
1276#95—131no—
1277#95—131no—
1278#95—131no—
1279#95—131no—
1280#95—131no—
1281#95—131no—
1282#95—131no—
1283#95—131no—
1284#95—131no—
1285#95C22×D1311yescharacteristic
1286#95C22×D1311yescharacteristic
1287#95C22×D1311yescharacteristic
1288#95C22×D1311yescharacteristic
1289#95C22×D1311yescharacteristic
1290#95C22×D1311yescharacteristic
1291#95C22×D1311yescharacteristic
1292#95C22×D1311yescharacteristic
1293C2×C13—42no—
1294C2×C13—42no—
1295C2×C13—81no—
1296C2×C13C2×#52511yescharacteristic
1297C2×C13C2×#52911yescharacteristic
1298C2×C13C2×#53811yescharacteristic
1299C2×C13C2×#54611yescharacteristic
1300C2×C13C2×#55011yescharacteristic
1301C2×C13C2×#55111yescharacteristic
1302C2×C13C2×#55311yescharacteristic
1303D13—42no—
1304D13—42no—
1305D13—81no—
1306D13#246718yesdirect product factor
1307C24—131no—
1308C24—134no—
1309C24—134no—
1310C24—131no—
1311C24—131no—
1312C24—131no—
1313C24—262no—
1314C24—262no—
1315C24—262no—
1316C24—262no—
1317C24—262no—
1318C24—262no—
1319C24—262no—
1320C24—262no—
1321C24—262no—
1322C24—262no—
1323C24—262no—
1324C24—262no—
1325C24—262no—
1326C24—262no—
1327C24—262no—
1328C24—262no—
1329C24—262no—
1330C24—262no—
1331C24—262no—
1332C24C23×D1311yescharacteristic
1333C24C23×D1311yescharacteristic
1334C24C23×D1311yescharacteristic
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—262no—
1345C2×D4—262no—
1346C2×D4—262no—
1347C2×D4—262no—
1348C2×D4—262no—
1349C2×D4—262no—
1350C2×D4—262no—
1351C2×D4—262no—
1352C2×D4—2632no—
1353C2×D4—262no—
1354C2×D4—262no—
1355C2×D4—262no—
1356C2×D4—262no—
1357C2×D4—262no—
1358C2×D4—262no—
1359C2×D4—262no—
1360C2×D4—262no—
1361C2×D4—262no—
1362C2×D4—262no—
1363C2×D4—521no—
1364C2×D4—521no—
1365C2×D4—521no—
1366C2×D4—5216no—
1367C2×D4—521no—
1368C2×D4—521no—
1369C2×D4—521no—
1370C2×D4—521no—
1371C2×D4—521no—
1372C2×D4—521no—
1373C2×D4—5216no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—131no—
1381C22×C4—131no—
1382C22×C4—131no—
1383C22×C4—131no—
1384C22×C4—131no—
1385C22×C4—134no—
1386C22×C4—134no—
1387C22×C4—134no—
1388C22×C4—134no—
1389C22×C4—134no—
1390C22×C4—131no—
1391C22×C4—131no—
1392C22×C4—131no—
1393C22×C4—131no—
1394C22×C4—131no—
1395C22×C4—131no—
1396C22×C4—131no—
1397C22×C4—262no—
1398C22×C4—262no—
1399C22×C4—262no—
1400C22×C4—262no—
1401C22×C4—262no—
1402C22×C4—262no—
1403C22×C4—262no—
1404C22×C4—262no—
1405C22×C4—262no—
1406C22×C4—262no—
1407C22×C4—262no—
1408C22×C4—262no—
1409C22×C4—262no—
1410C22×C4—262no—
1411C22×C4—262no—
1412C22×C4—262no—
1413C22×C4—262no—
1414C22×C4—262no—
1415C22×C4—262no—
1416C22×C4—262no—
1417C22×C4—262no—
1418C22×C4—262no—
1419C22×C4—262no—
1420C22×C4—262no—
1421C22×C4—262no—
1422C22×C4—262no—
1423C22×C4—262no—
1424C22×C4—262no—
1425C22×C4—262no—
1426C22×C4—262no—
1427C22×C4—262no—
1428C22×C4—262no—
1429C22×C4—262no—
1430C22×C4—262no—
1431C22×C4—262no—
1432C22×C4—262no—
1433C22×C4—262no—
1434C22×C4—262no—
1435C22×C4—262no—
1436C22×C4—262no—
1437C22×C4—262no—
1438C22×C4—262no—
1439C22×C4—262no—
1440C22×C4—521no—
1441C22×C4—521no—
1442C22×C4—521no—
1443C22×C4—521no—
1444C22×C4—5216no—
1445C22×C4—5216no—
1446C22×C4—521no—
1447C22×C4—521no—
1448C22×C4C23×D1311yescharacteristic
1449C22×C4C23×D1311yescharacteristic
1450C22×C4C23×D1311yescharacteristic
1451C22×C4C23×D1311yescharacteristic
1452C22×C4C23×D1311yescharacteristic
1453C22×C4C23×D1311yescharacteristic
1454C22×C4C23×D1311yescharacteristic
1455C22×C4C23×D1311yescharacteristic
1456C22×C4C23×D1311yescharacteristic
1457C22×C4C23×D1311yescharacteristic
1458C22×C4C23×D1311yescharacteristic
1459C22×C4C23×D1311yescharacteristic
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—41no—
1464C4⋊C4—41no—
1465C4⋊C4—134no—
1466C4⋊C4—134no—
1467C4⋊C4—134no—
1468C4⋊C4—262no—
1469C4⋊C4—262no—
1470C4⋊C4—262no—
1471C4⋊C4—262no—
1472C4⋊C4—262no—
1473C4⋊C4—262no—
1474C4⋊C4—262no—
1475C4⋊C4—262no—
1476C4⋊C4—262no—
1477C4⋊C4—521no—
1478C4⋊C4—521no—
1479C4⋊C4—521no—
1480C4⋊C4—521no—
1481C4⋊C4—521no—
1482C4⋊C4—521no—
1483C4⋊C4D4×D1314yescomplemented
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—262no—
1498C22⋊C4—262no—
1499C22⋊C4—262no—
1500C22⋊C4—262no—
1501C22⋊C4—262no—
1502C22⋊C4—262no—
1503C22⋊C4—262no—
1504C22⋊C4—262no—
1505C22⋊C4—262no—
1506C22⋊C4—262no—
1507C22⋊C4—262no—
1508C22⋊C4—262no—
1509C22⋊C4—262no—
1510C22⋊C4—262no—
1511C22⋊C4—262no—
1512C22⋊C4—262no—
1513C22⋊C4—262no—
1514C22⋊C4—262no—
1515C22⋊C4—262no—
1516C22⋊C4—262no—
1517C22⋊C4—262no—
1518C22⋊C4—262no—
1519C22⋊C4—262no—
1520C22⋊C4—262no—
1521C22⋊C4—262no—
1522C22⋊C4—262no—
1523C22⋊C4—262no—
1524C22⋊C4—521no—
1525C22⋊C4—521no—
1526C22⋊C4—521no—
1527C22⋊C4—521no—
1528C22⋊C4—521no—
1529C22⋊C4—521no—
1530C22⋊C4—521no—
1531C22⋊C4—521no—
1532C22⋊C4—521no—
1533C22⋊C4—521no—
1534C22⋊C4—521no—
1535C22⋊C4—521no—
1536C42—22no—
1537C42—22no—
1538C42—41no—
1539C42—262no—
1540C42—262no—
1541C42—262no—
1542C42—262no—
1543C42—262no—
1544C42—262no—
1545C42—521no—
1546C42—521no—
1547C42—521no—
1548C13C2×#246711yescharacteristic, complemented, Sylow
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—132no—
1569C23—132no—
1570C23—132no—
1571C23—132no—
1572C23—132no—
1573C23—132no—
1574C23—132no—
1575C23—132no—
1576C23—132no—
1577C23—268no—
1578C23—268no—
1579C23—268no—
1580C23—268no—
1581C23—268no—
1582C23—268no—
1583C23—261no—
1584C23—261no—
1585C23—261no—
1586C23—261no—
1587C23—261no—
1588C23—261no—
1589C23—261no—
1590C23—261no—
1591C23—261no—
1592C23—261no—
1593C23—261no—
1594C23—261no—
1595C23—261no—
1596C23—261no—
1597C23—261no—
1598C23—261no—
1599C23—261no—
1600C23—261no—
1601C23—261no—
1602C23—524no—
1603C23—524no—
1604C23—524no—
1605C23—524no—
1606C23—524no—
1607C23—524no—
1608C23—524no—
1609C23—524no—
1610C23—524no—
1611C23—524no—
1612C23—524no—
1613C23—524no—
1614C23—524no—
1615C23—524no—
1616C23—524no—
1617C23#41×D1312yes—
1618C23#41×D1312yes—
1619C23C24×D1311yescharacteristic
1620D4—28no—
1621D4—44no—
1622D4—44no—
1623D4—268no—
1624D4—268no—
1625D4—268no—
1626D4—524no—
1627D4—524no—
1628D4—524no—
1629D4—524no—
1630D4—524no—
1631D4—524no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—132no—
1666C2×C4—132no—
1667C2×C4—132no—
1668C2×C4—132no—
1669C2×C4—132no—
1670C2×C4—268no—
1671C2×C4—268no—
1672C2×C4—268no—
1673C2×C4—268no—
1674C2×C4—268no—
1675C2×C4—261no—
1676C2×C4—261no—
1677C2×C4—261no—
1678C2×C4—261no—
1679C2×C4—261no—
1680C2×C4—261no—
1681C2×C4—261no—
1682C2×C4—261no—
1683C2×C4—261no—
1684C2×C4—261no—
1685C2×C4—261no—
1686C2×C4—261no—
1687C2×C4—261no—
1688C2×C4—261no—
1689C2×C4—261no—
1690C2×C4—261no—
1691C2×C4—261no—
1692C2×C4—261no—
1693C2×C4—261no—
1694C2×C4—261no—
1695C2×C4—261no—
1696C2×C4—261no—
1697C2×C4—261no—
1698C2×C4—261no—
1699C2×C4—261no—
1700C2×C4—261no—
1701C2×C4—261no—
1702C2×C4—261no—
1703C2×C4—261no—
1704C2×C4—261no—
1705C2×C4—261no—
1706C2×C4—524no—
1707C2×C4—524no—
1708C2×C4—524no—
1709C2×C4—524no—
1710C2×C4—524no—
1711C2×C4—524no—
1712C2×C4—524no—
1713C2×C4—524no—
1714C2×C4—524no—
1715C2×C4—524no—
1716C2×C4—524no—
1717C2×C4—524no—
1718C2×C4—524no—
1719C2×C4C2×D4×D1312yes—
1720C2×C4C2×D4×D1312yes—
1721C2×C4C2×D4×D1312yes—
1722C2×C4#41×D1312yes—
1723C2×C4#41×D1312yes—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—134no—
1746C22—134no—
1747C22—134no—
1748C22—134no—
1749C22—134no—
1750C22—134no—
1751C22—134no—
1752C22—262no—
1753C22—262no—
1754C22—262no—
1755C22—262no—
1756C22—262no—
1757C22—262no—
1758C22—5216no—
1759C22—5216no—
1760C22—521no—
1761C22—521no—
1762C22—521no—
1763C22—521no—
1764C22—521no—
1765C22—521no—
1766C22—521no—
1767C22—521no—
1768C22—521no—
1769C22—521no—
1770C22—521no—
1771C22—521no—
1772C22—521no—
1773C22—521no—
1774C22—521no—
1775C22—1048no—
1776C22C22×D4×D1311yescharacteristic
1777C22C2×#41×D1311yescharacteristic
1778C22C2×#41×D1311yescharacteristic
1779C22C2×#41×D1311yescharacteristic
1780C22C2×#41×D1311yescharacteristic
1781C22D13×H(5,𝔽2)11yescharacteristic
1782C22D13×H(5,𝔽2)11yescharacteristic
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—262no—
1796C4—262no—
1797C4—262no—
1798C4—262no—
1799C4—262no—
1800C4—521no—
1801C4—521no—
1802C4—521no—
1803C4—521no—
1804C4—521no—
1805C4—521no—
1806C4—521no—
1807C2—42no—
1808C2—42no—
1809C2—81no—
1810C2—138no—
1811C2—522no—
1812C2—522no—
1813C2—1041no—
1814C2D13×#52511yescharacteristic
1815C2D13×#52911yescharacteristic
1816C2D13×#53811yescharacteristic
1817C2D13×#54611yescharacteristic
1818C2D13×#55011yescharacteristic
1819C2D13×#55111yescharacteristic
1820C2D13×#55311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2467C2
prime radicalD13×#392C2
hypercenter#2467D13
hypocenterC13C2×#2467
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2467

Complements

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

NH ≅ G/Ntype
1. C2×D13×#126C2semidirect
2. C2×C4×D4×D13C2semidirect
3. #13118894C2semidirect
4. #13118893C2semidirect
5. #13118892C2semidirect
6. #13118891C2semidirect
7. #13118890C2semidirect
8. #13118889C2semidirect
9. #13118888C2semidirect
10. #13118887C2semidirect
11. #13118886C2semidirect
12. #13118885C2semidirect
13. #13118884C2semidirect
14. #13118883C2semidirect
15. #13118882C2semidirect
16. #13118881C2semidirect
17. #13118880C2semidirect
18. D13×#399C2semidirect
19. D13×#394C2semidirect
20. D13×#394C2semidirect
22. D13×#390C2semidirect
23. D13×#388C2semidirect
24. D13×#388C2semidirect
25. D13×#387C2semidirect
26. D13×#387C2semidirect
27. D13×#386C2semidirect
28. D13×#386C2semidirect
29. D13×#380C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2467C2semidirect
37. C2×C13×#126C22semidirect
38. C2×C4×D4×C13C22semidirect
39. C2×D4×Dic13C22semidirect
40. C2×C4×C22⋊D13C22semidirect
41. C2×C4×C22⋊D13C22semidirect
44. C2×#88152C22semidirect
45. C2×#88152C22semidirect
46. C2×#88152C22semidirect
47. C2×#88147C22semidirect
54. C2×#88135C22semidirect
55. C2×#88135C22semidirect
69. C2×#88133C22semidirect
70. C2×#88133C22semidirect
71. C2×#88133C22semidirect
72. C2×#88130C22semidirect
73. C2×C4×D52C22semidirect
77. C13×#399C22semidirect
78. C13×#394C22semidirect
79. C13×#394C22semidirect
81. C13×#390C22semidirect
82. C13×#388C22semidirect
83. C13×#388C22semidirect
84. C13×#387C22semidirect
85. C13×#387C22semidirect
86. C13×#386C22semidirect
87. C13×#386C22semidirect
88. C13×#380C22semidirect
89. C4×C13×C22⋊C4C22semidirect
93. #11718883C22semidirect
94. #11718883C22semidirect
95. #11718882C22semidirect
96. #11718881C22semidirect
97. #11718881C22semidirect
98. #11718874C22semidirect
99. #11718874C22semidirect
100. #11718873C22semidirect
101. C4×C22⋊Dic13C22semidirect
102. #11718653C22semidirect
103. #11718653C22semidirect
104. #11718653C22semidirect
105. #11718652C22semidirect
106. #11718652C22semidirect
107. #11718651C22semidirect
108. #11718651C22semidirect
109. #11718649C22semidirect
110. #11718648C22semidirect
111. #11718648C22semidirect
112. #11718642C22semidirect
113. #11718642C22semidirect
114. #11718639C22semidirect
115. #11718639C22semidirect
116. #11718622C22semidirect
117. #11718622C22semidirect
118. #11718622C22semidirect
119. #11718622C22semidirect
123. #11718620C22semidirect
124. #11718620C22semidirect
125. #11718620C22semidirect
126. #11718620C22semidirect
127. #11718619C22semidirect
128. #11718619C22semidirect
129. #11718618C22semidirect
130. #11718618C22semidirect
131. #11718618C22semidirect
132. #11718618C22semidirect
133. #11718617C22semidirect
134. #11718617C22semidirect
135. #11718617C22semidirect
136. #11718617C22semidirect
137. #11718612C22semidirect
138. #11718612C22semidirect
139. #11718610C22semidirect
140. #11718610C22semidirect
141. #11718610C22semidirect
142. #11718606C22semidirect
143. #11718606C22semidirect
144. #11718605C22semidirect
145. #11718605C22semidirect
146. #11718603C22semidirect
147. #11718603C22semidirect
148. C22⋊C4×Dic13C22semidirect
149. C22⋊C4×Dic13C22semidirect
150. #11718601C22semidirect
151. #11718601C22semidirect
152. #11718600C22semidirect
153. C4×#6103C22semidirect
154. C4×#6103C22semidirect
155. #11718594C22semidirect
156. #11718594C22semidirect
157. #11718338C22semidirect
158. #11718333C22semidirect
159. #11718333C22semidirect
161. #11718331C22semidirect
162. #11718331C22semidirect
163. #11718330C22semidirect
164. #11718330C22semidirect
165. #11718328C22semidirect
166. #11718328C22semidirect
167. #11718327C22semidirect
168. #11718327C22semidirect
169. #11718326C22semidirect
170. #11718326C22semidirect
171. #11718326C22semidirect
172. #11718326C22semidirect
181. #11718316C22semidirect
182. #11718316C22semidirect
183. #11718315C22semidirect
184. #11718315C22semidirect
185. #11718314C22semidirect
186. #11718314C22semidirect
187. #11718313C22semidirect
188. #11718313C22semidirect
341. C4⋊C4×D13D4semidirect
556. C13×C4⋊C4C2×D4semidirect
617. C4⋊Dic13C2×D4semidirect
628. #6101C2×D4semidirect
629. #6101C2×D4semidirect
656. #2467D13direct (N × H)
858. C2×#126C2×D13semidirect
867. C2×C4×D4C2×D13semidirect
897. #399C2×D13semidirect
912. #394C2×D13semidirect
913. #394C2×D13semidirect
929. #390C2×D13semidirect
944. #388C2×D13semidirect
945. #388C2×D13semidirect
960. #387C2×D13semidirect
961. #387C2×D13semidirect
976. #386C2×D13semidirect
977. #386C2×D13semidirect
985. #380C2×D13semidirect
993. C4×C22⋊C4C2×D13semidirect
1306. D13#2467direct (N × H)
1483. C4⋊C4D4×D13semidirect
1548. C13C2×#2467semidirect

Maximal subgroups

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

subgroupindex
C2×D13×#1262
C2×C4×D4×D132
#131188942
#131188932
#131188922
#131188912
#131188902
#131188892
#131188882
#131188872
#131188862
#131188852
#131188842
#131188832
#131188822
#131188812
#131188802
D13×#3992
D13×#3942
D13×#3922
D13×#3902
D13×#3882
D13×#3872
D13×#3862
D13×#3802
C4×C22⋊C4×D132
C13×#24672
C2×#246713