Finite Group Databasebeta

← C13×#18355 #15704694

Subgroups — C13×#18355 #15704694

Order 3328.

972 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3505C211yesmaximal, characteristic
2C13×#3195C211yesmaximal, characteristic, complemented
3C13×#3193C211yesmaximal, characteristic, complemented
4C13×#2638C211yesmaximal, characteristic, complemented
5C13×#1612C212yesmaximal, complemented
6C13×#1609C212yesmaximal, complemented
7C13×#1606C212yesmaximal, complemented
8C13×#1603C212yesmaximal, complemented
9C13×#1511C211yesmaximal, characteristic, complemented
10C13×#1510C211yesmaximal, characteristic, complemented
11C13×#1465C211yesmaximal, characteristic, complemented
12C13×#553—22no—
13C13×#553—21no—
14C13×#552—21no—
15C13×#551—22no—
16C13×#548—21no—
17C13×#546—21no—
18C13×#539C2212yes—
19C13×#538C2212yes—
20C13×#534—21no—
21C13×#529—21no—
22C13×#525—21no—
23C2×C13×C22⋊Q8C2211yescharacteristic
24C2×C13×C22⋊Q8C2211yescharacteristic
25C2×C13×#121C2211yescharacteristic
26C13×#518—21no—
27C2×C4×D4×C13C2211yescharacteristic
28C13×#484—21no—
29C13×#483—21no—
30C13×#483C2212yescomplemented
31C13×#480C2212yes—
32C13×#470—22no—
33C13×#468—22no—
34C13×#451—21no—
35C13×#451C2212yescomplemented
36C13×#450—21no—
37C13×#448C2212yes—
38C13×#407C2211yescharacteristic
39C13×#407C2211yescharacteristic
40C13×#398C2211yescharacteristic, complemented
41C13×#397—21no—
42C13×#397C2211yescharacteristic, complemented
43C13×#395C2211yescharacteristic, complemented
44C13×#394—21no—
45C13×#393C2211yescharacteristic, complemented
46C13×#387—21no—
47C13×#385—21no—
48C13×#381C2211yescharacteristic
49C13×#328C2212yescomplemented
50C13×#328C2212yescomplemented
51C13×#327C2212yes—
52C13×#327C2212yes—
53C13×#324C2212yescomplemented
54C13×#323C2212yescomplemented
55C2×C13×#41—21no—
56C22×Q8×C13D411yescharacteristic
57C22×Q8×C13C2311yescharacteristic
58C22×D4×C13—21no—
59C22×D4×C13D411yescharacteristic
60C22×D4×C13D411yescharacteristic
61C23×C4×C13D411yescharacteristic
62C23×C4×C13C2311yescharacteristic
63C2×C13×Q16—22no—
64C2×C13×SD16—22no—
65C2×C13×M16—21no—
66C2×C13×M16—21no—
67C13×#126—22no—
68C13×#126—22no—
69C13×#126—22no—
70C13×#125—21no—
71C13×#125—22no—
72C13×#124—21no—
73C13×#124—22no—
74C13×#123—22no—
75C13×#123—22no—
76C13×#123—22no—
77C13×#123—22no—
78C13×#123—22no—
79C13×C22⋊Q8—21no—
80C13×C22⋊Q8—22no—
81C13×C22⋊Q8—21no—
82C13×C22⋊Q8—21no—
83C13×C22⋊Q8—21no—
84C13×C22⋊Q8—21no—
85C13×C22⋊Q8—21no—
86C13×C22⋊Q8—21no—
87C13×C22⋊Q8D412yes—
88C13×C22⋊Q8C2312yes—
89C13×#121—21no—
90C13×#121—22no—
91C13×#121—22no—
92C13×#121—22no—
93C13×#121—21no—
94C13×#121—21no—
95C13×#121D412yes—
96C13×#121C2312yes—
97C13×#120—22no—
98C13×#120—22no—
99C4×Q8×C13—21no—
100C4×D4×C13—22no—
101C4×D4×C13—22no—
102C4×D4×C13—22no—
103C4×D4×C13—21no—
104C4×D4×C13—21no—
105C4×D4×C13—21no—
106C4×D4×C13—21no—
107C4×D4×C13—21no—
108C4×D4×C13—22no—
109C4×D4×C13—22no—
110C13×#117—22no—
111C13×#117—21no—
112C13×#117—22no—
113C2×C13×C4⋊C4—21no—
114C2×C13×C4⋊C4—21no—
115C2×C13×C4⋊C4—21no—
116C2×C13×C4⋊C4—21no—
117C2×C13×C4⋊C4D411yescharacteristic
118C2×C13×C4⋊C4D411yescharacteristic
119C2×C13×C4⋊C4C2311yescharacteristic
120C2×C13×C4⋊C4C2311yescharacteristic
121C2×C13×C22⋊C4—22no—
122C2×C13×C22⋊C4—21no—
123C2×C13×C22⋊C4—21no—
124C2×C13×C22⋊C4—21no—
125C2×C13×C22⋊C4—21no—
126C2×C13×C22⋊C4—21no—
127C2×C13×C22⋊C4—21no—
128C2×C13×C22⋊C4D411yescharacteristic
129C2×C13×C22⋊C4C2311yescharacteristic
130C2×C42×C13D411yescharacteristic
131C13×#107—22no—
132C13×#106—22no—
133C13×#103—22no—
134C13×#103—22no—
135C13×#103—22no—
136C13×#102—22no—
137C13×C22⋊C8—21no—
138C13×C22⋊C8—21no—
139C13×C22⋊C8C2312yes—
140C13×C22⋊C8C2312yes—
141C13×#95—21no—
142C13×#95—21no—
143C13×#95—21no—
144C13×#95—21no—
145C13×#95—21no—
146C13×#95C2311yescharacteristic
147C13×#95C2311yescharacteristic
148#18355C1311yesmaximal, characteristic, direct product factor, Sylow
149C24×C13—21no—
150C24×C13C2×D411yescharacteristic
151C24×C13C2×D411yescharacteristic
152C13×#41—82no—
153C2×Q8×C13—21no—
154C2×Q8×C13—21no—
155C2×Q8×C13—21no—
156C2×Q8×C13—81no—
157C2×Q8×C13—81no—
158C2×Q8×C13C2×D412yes—
159C2×D4×C13—21no—
160C2×D4×C13—21no—
161C2×D4×C13—22no—
162C2×D4×C13—22no—
163C2×D4×C13—22no—
164C2×D4×C13—22no—
165C2×D4×C13—21no—
166C2×D4×C13—41no—
167C2×D4×C13—41no—
168C2×D4×C13—42no—
169C2×D4×C13—42no—
170C2×D4×C13—81no—
171C2×D4×C13C2×D412yes—
172C22×C4×C13—21no—
173C22×C4×C13—22no—
174C22×C4×C13—22no—
175C22×C4×C13—21no—
176C22×C4×C13—21no—
177C22×C4×C13—21no—
178C22×C4×C13—21no—
179C22×C4×C13—21no—
180C22×C4×C13—21no—
181C22×C4×C13—21no—
182C22×C4×C13—21no—
183C22×C4×C13—81no—
184C22×C4×C13—81no—
185C22×C4×C13C2×D411yescharacteristic
186C22×C4×C13C2×D411yescharacteristic
187C22×C4×C13C2×D411yescharacteristic
188C22×C4×C13C2×D411yescharacteristic
189C22×C4×C13C2×D411yescharacteristic
190C22×C4×C13C2×D411yescharacteristic
191C22×C4×C13C2×D411yescharacteristic
192C22×C4×C13C2×D411yescharacteristic
193C22×C4×C13C2411yescharacteristic
194C13×Q16—82no—
195C13×SD16—82no—
196C13×M16—81no—
197C13×M16—81no—
198C2×C8×C13—22no—
199C2×C8×C13—22no—
200C13×C4⋊C4—22no—
201C13×C4⋊C4—22no—
202C13×C4⋊C4—22no—
203C13×C4⋊C4—22no—
204C13×C4⋊C4—22no—
205C13×C4⋊C4—21no—
206C13×C4⋊C4—21no—
207C13×C4⋊C4—22no—
208C13×C4⋊C4—21no—
209C13×C4⋊C4—21no—
210C13×C4⋊C4—21no—
211C13×C4⋊C4—21no—
212C13×C4⋊C4—42no—
213C13×C4⋊C4—41no—
214C13×C4⋊C4—41no—
215C13×C4⋊C4—81no—
216C13×C4⋊C4C2×D412yes—
217C13×C4⋊C4C2×D412yes—
218C13×C22⋊C4—22no—
219C13×C22⋊C4—22no—
220C13×C22⋊C4—22no—
221C13×C22⋊C4—22no—
222C13×C22⋊C4—22no—
223C13×C22⋊C4—22no—
224C13×C22⋊C4—21no—
225C13×C22⋊C4—22no—
226C13×C22⋊C4—21no—
227C13×C22⋊C4—22no—
228C13×C22⋊C4—22no—
229C13×C22⋊C4—22no—
230C13×C22⋊C4—21no—
231C13×C22⋊C4—21no—
232C13×C22⋊C4—42no—
233C13×C22⋊C4—41no—
234C13×C22⋊C4—41no—
235C13×C22⋊C4—81no—
236C13×C22⋊C4—81no—
237C42×C13—22no—
238C42×C13—22no—
239C42×C13—21no—
240C42×C13—21no—
241#3505C2×C1311yescharacteristic
242#3195C2×C1311yescharacteristic, complemented
243#3193C2×C1311yescharacteristic, complemented
244#2638C2×C1311yescharacteristic, complemented
245#1612C2×C1312yescomplemented
246#1609C2×C1312yescomplemented
247#1606C2×C1312yescomplemented
248#1603C2×C1312yescomplemented
249#1511C2×C1311yescharacteristic, complemented
250#1510C2×C1311yescharacteristic, complemented
251#1465C2×C1311yescharacteristic, complemented
252C23×C13—21no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—22no—
256C23×C13—21no—
257C23×C13—21no—
258C23×C13—41no—
259C23×C13—41no—
260C23×C13—41no—
261C23×C13—41no—
262C23×C13—42no—
263C23×C13—81no—
264C23×C13—81no—
265C23×C13#12011yescharacteristic
266C23×C13#12011yescharacteristic
267C23×C13C22×D411yescharacteristic
268Q8×C13—42no—
269Q8×C13—42no—
270Q8×C13—42no—
271Q8×C13—42no—
272D4×C13—42no—
273D4×C13—42no—
274D4×C13—42no—
275D4×C13—42no—
276D4×C13—44no—
277D4×C13—42no—
278D4×C13—42no—
279D4×C13—82no—
280D4×C13—82no—
281C2×C4×C13—21no—
282C2×C4×C13—21no—
283C2×C4×C13—22no—
284C2×C4×C13—21no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
293C2×C4×C13—41no—
294C2×C4×C13—41no—
295C2×C4×C13—42no—
296C2×C4×C13—42no—
297C2×C4×C13—41no—
298C2×C4×C13—41no—
299C2×C4×C13—41no—
300C2×C4×C13—41no—
301C2×C4×C13—41no—
302C2×C4×C13—41no—
303C2×C4×C13—41no—
304C2×C4×C13—41no—
305C2×C4×C13—41no—
306C2×C4×C13—41no—
307C2×C4×C13—41no—
308C2×C4×C13—41no—
309C2×C4×C13—41no—
310C2×C4×C13—41no—
311C2×C4×C13—81no—
312C2×C4×C13—81no—
313C2×C4×C13—81no—
314C2×C4×C13—82no—
315C2×C4×C13—82no—
316C2×C4×C13#12011yescharacteristic
317C2×C4×C13#12011yescharacteristic
318C2×C4×C13C22×D411yescharacteristic
319C2×C4×C13C22×D411yescharacteristic
320C8×C13—42no—
321C8×C13—42no—
322#553—22no—
323#553—21no—
324#552—21no—
325#551—22no—
326#548—21no—
327#546—21no—
328#539C22×C1312yes—
329#538C22×C1312yes—
330#534—21no—
331#529—21no—
332#525—21no—
333C2×C22⋊Q8C22×C1311yescharacteristic
334C2×C22⋊Q8C22×C1311yescharacteristic
335C2×#121C22×C1311yescharacteristic
336#518—21no—
337C2×C4×D4C22×C1311yescharacteristic
338#484—21no—
339#483—21no—
340#483C22×C1312yescomplemented
341#480C22×C1312yes—
342#470—22no—
343#468—22no—
344#451—21no—
345#451C22×C1312yescomplemented
346#450—21no—
347#448C22×C1312yes—
348#407C22×C1311yescharacteristic
349#407C22×C1311yescharacteristic
350#398C22×C1311yescharacteristic, complemented
351#397—21no—
352#397C22×C1311yescharacteristic, complemented
353#395C22×C1311yescharacteristic, complemented
354#394—21no—
355#393C22×C1311yescharacteristic, complemented
356#387—21no—
357#385—21no—
358#381C22×C1311yescharacteristic
359#328C22×C1312yescomplemented
360#328C22×C1312yescomplemented
361#327C22×C1312yes—
362#327C22×C1312yes—
363#324C22×C1312yescomplemented
364#323C22×C1312yescomplemented
365C22×C13—21no—
366C22×C13—21no—
367C22×C13—21no—
368C22×C13—21no—
369C22×C13—21no—
370C22×C13—21no—
371C22×C13—21no—
372C22×C13—21no—
373C22×C13—42no—
374C22×C13—41no—
375C22×C13—42no—
376C22×C13—42no—
377C22×C13—41no—
378C22×C13—41no—
379C22×C13—42no—
380C22×C13—81no—
381C22×C13—81no—
382C22×C13—81no—
383C22×C13—162no—
384C22×C13C2×#12011yescharacteristic
385C22×C13#57511yescharacteristic
386C22×C13#57511yescharacteristic
387C4×C13—21no—
388C4×C13—21no—
389C4×C13—21no—
390C4×C13—21no—
391C4×C13—41no—
392C4×C13—42no—
393C4×C13—41no—
394C4×C13—42no—
395C4×C13—41no—
396C4×C13—42no—
397C4×C13—81no—
398C4×C13—81no—
399C4×C13—81no—
400C4×C13—81no—
401C2×#41—21no—
402C22×Q8D4×C1311yescharacteristic
403C22×Q8C23×C1311yescharacteristic
404C22×D4—21no—
405C22×D4D4×C1311yescharacteristic
406C22×D4D4×C1311yescharacteristic
407C23×C4D4×C1311yescharacteristic
408C23×C4C23×C1311yescharacteristic
409C2×Q16—22no—
410C2×SD16—22no—
411C2×M16—21no—
412C2×M16—21no—
413#126—22no—
414#126—22no—
415#126—22no—
416#125—21no—
417#125—22no—
418#124—21no—
419#124—22no—
420#123—22no—
421#123—22no—
422#123—22no—
423#123—22no—
424#123—22no—
425C22⋊Q8—21no—
426C22⋊Q8—22no—
427C22⋊Q8—21no—
428C22⋊Q8—21no—
429C22⋊Q8—21no—
430C22⋊Q8—21no—
431C22⋊Q8—21no—
432C22⋊Q8—21no—
433C22⋊Q8D4×C1312yes—
434C22⋊Q8C23×C1312yes—
435#121—21no—
436#121—22no—
437#121—22no—
438#121—22no—
439#121—21no—
440#121—21no—
441#121D4×C1312yes—
442#121C23×C1312yes—
443#120—22no—
444#120—22no—
445C4×Q8—21no—
446C4×D4—22no—
447C4×D4—22no—
448C4×D4—22no—
449C4×D4—21no—
450C4×D4—21no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—21no—
454C4×D4—22no—
455C4×D4—22no—
456#117—22no—
457#117—21no—
458#117—22no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4D4×C1311yescharacteristic
464C2×C4⋊C4D4×C1311yescharacteristic
465C2×C4⋊C4C23×C1311yescharacteristic
466C2×C4⋊C4C23×C1311yescharacteristic
467C2×C22⋊C4—22no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4D4×C1311yescharacteristic
475C2×C22⋊C4C23×C1311yescharacteristic
476C2×C42D4×C1311yescharacteristic
477#107—22no—
478#106—22no—
479#103—22no—
480#103—22no—
481#103—22no—
482#102—22no—
483C22⋊C8—21no—
484C22⋊C8—21no—
485C22⋊C8C23×C1312yes—
486C22⋊C8C23×C1312yes—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—21no—
491#95—21no—
492#95C23×C1311yescharacteristic
493#95C23×C1311yescharacteristic
494C2×C13—21no—
495C2×C13—21no—
496C2×C13—41no—
497C2×C13—41no—
498C2×C13—81no—
499C2×C13—82no—
500C2×C13#300511yescharacteristic
501C2×C13#302211yescharacteristic
502C2×C13#302611yescharacteristic
503C24—21no—
504C24C2×D4×C1311yescharacteristic
505C24C2×D4×C1311yescharacteristic
506#41—82no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—81no—
511C2×Q8—81no—
512C2×Q8C2×D4×C1312yes—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—21no—
520C2×D4—41no—
521C2×D4—41no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4—81no—
525C2×D4C2×D4×C1312yes—
526C22×C4—21no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—81no—
538C22×C4—81no—
539C22×C4C2×D4×C1311yescharacteristic
540C22×C4C2×D4×C1311yescharacteristic
541C22×C4C2×D4×C1311yescharacteristic
542C22×C4C2×D4×C1311yescharacteristic
543C22×C4C2×D4×C1311yescharacteristic
544C22×C4C2×D4×C1311yescharacteristic
545C22×C4C2×D4×C1311yescharacteristic
546C22×C4C2×D4×C1311yescharacteristic
547C22×C4C24×C1311yescharacteristic
548Q16—82no—
549SD16—82no—
550M16—81no—
551M16—81no—
552C2×C8—22no—
553C2×C8—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—22no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—42no—
567C4⋊C4—41no—
568C4⋊C4—41no—
569C4⋊C4—81no—
570C4⋊C4C2×D4×C1312yes—
571C4⋊C4C2×D4×C1312yes—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—21no—
579C22⋊C4—22no—
580C22⋊C4—21no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—21no—
585C22⋊C4—21no—
586C22⋊C4—42no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C22⋊C4—81no—
590C22⋊C4—81no—
591C42—22no—
592C42—22no—
593C42—21no—
594C42—21no—
595C13#1835511yescharacteristic, direct product factor, Sylow
596C23—21no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—81no—
608C23—81no—
609C23C13×#12011yescharacteristic
610C23C13×#12011yescharacteristic
611C23C22×D4×C1311yescharacteristic
612Q8—42no—
613Q8—42no—
614Q8—42no—
615Q8—42no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—42no—
620D4—44no—
621D4—42no—
622D4—42no—
623D4—82no—
624D4—82no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—81no—
656C2×C4—81no—
657C2×C4—81no—
658C2×C4—82no—
659C2×C4—82no—
660C2×C4C13×#12011yescharacteristic
661C2×C4C13×#12011yescharacteristic
662C2×C4C22×D4×C1311yescharacteristic
663C2×C4C22×D4×C1311yescharacteristic
664C8—42no—
665C8—42no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—42no—
675C22—42no—
676C22—41no—
677C22—41no—
678C22—42no—
679C22—41no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—162no—
685C22C2×C13×#12011yescharacteristic
686C22C13×#57511yescharacteristic
687C22C13×#57511yescharacteristic
688C4—21no—
689C4—21no—
690C4—21no—
691C4—21no—
692C4—41no—
693C4—42no—
694C4—41no—
695C4—42no—
696C4—41no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—81no—
702C2—21no—
703C2—21no—
704C2—41no—
705C2—41no—
706C2—81no—
707C2—82no—
708C2C13×#300511yescharacteristic
709C2C13×#302211yescharacteristic
710C2C13×#302611yescharacteristic
subgroupG/H
center, socleC22×C13C2×#120
commutator, Frattini, cosocleC22×C4C24×C13
prime radicalC13×#3505C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C13 ◁ C23×C4×C13 ◁ G

Complements

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

NH ≅ G/Ntype
2. C13×#3195C2semidirect
3. C13×#3193C2semidirect
4. C13×#2638C2semidirect
5. C13×#1612C2semidirect
6. C13×#1609C2semidirect
7. C13×#1606C2semidirect
8. C13×#1603C2semidirect
9. C13×#1511C2semidirect
10. C13×#1510C2semidirect
11. C13×#1465C2semidirect
30. C13×#483C22semidirect
35. C13×#451C22semidirect
40. C13×#398C22semidirect
42. C13×#397C22semidirect
43. C13×#395C22semidirect
45. C13×#393C22semidirect
49. C13×#328C22semidirect
50. C13×#328C22semidirect
53. C13×#324C22semidirect
54. C13×#323C22semidirect
148. #18355C13direct (N × H)
242. #3195C2×C13semidirect
243. #3193C2×C13semidirect
244. #2638C2×C13semidirect
245. #1612C2×C13semidirect
246. #1609C2×C13semidirect
247. #1606C2×C13semidirect
248. #1603C2×C13semidirect
249. #1511C2×C13semidirect
250. #1510C2×C13semidirect
251. #1465C2×C13semidirect
340. #483C22×C13semidirect
345. #451C22×C13semidirect
350. #398C22×C13semidirect
352. #397C22×C13semidirect
353. #395C22×C13semidirect
355. #393C22×C13semidirect
359. #328C22×C13semidirect
360. #328C22×C13semidirect
363. #324C22×C13semidirect
364. #323C22×C13semidirect
595. C13#18355direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35052
C13×#31952
C13×#31932
C13×#26382
C13×#16122
C13×#16092
C13×#16062
C13×#16032
C13×#15112
C13×#15102
C13×#14652
#1835513