Finite Group Databasebeta

← C13×#18354 #15704693

Subgroups — C13×#18354 #15704693

Order 3328.

1022 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3505C211yesmaximal, characteristic, complemented
2C13×#3193C211yesmaximal, characteristic, complemented
3C13×#3192C211yesmaximal, characteristic, complemented
4C13×#2635C211yesmaximal, characteristic, complemented
5C13×#1618C212yesmaximal, complemented
6C13×#1615C212yesmaximal, complemented
7C13×#1600C212yesmaximal, complemented
8C13×#1597C212yesmaximal, 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×#121C2211yescharacteristic
25C2×C13×#121C2211yescharacteristic
26C13×#518—21no—
27C2×C4×D4×C13C2211yescharacteristic
28C13×#484C2212yescomplemented
29C13×#481—21no—
30C13×#481C2212yes—
31C13×#480—21no—
32C13×#469—22no—
33C13×#468—22no—
34C13×#450C2212yescomplemented
35C13×#448—21no—
36C13×#447—21no—
37C13×#447C2212yes—
38C13×#407C2211yescharacteristic
39C13×#407C2211yescharacteristic
40C13×#400C2211yescharacteristic, complemented
41C13×#399C2211yescharacteristic, complemented
42C13×#394—21no—
43C13×#394C2211yescharacteristic, complemented
44C13×#392—21no—
45C13×#392C2211yescharacteristic, complemented
46C13×#388—21no—
47C13×#386—21no—
48C13×#381C2211yescharacteristic
49C13×#328C2212yescomplemented
50C13×#328C2212yescomplemented
51C13×#327C2212yes—
52C13×#327C2212yes—
53C13×#324C2212yescomplemented
54C13×#323C2212yescomplemented
55C2×C13×#41—21no—
56C22×Q8×C13D411yescharacteristic, complemented
57C22×D4×C13—21no—
58C22×D4×C13—21no—
59C22×D4×C13—21no—
60C22×D4×C13D411yescharacteristic
61C22×D4×C13D411yescharacteristic, complemented
62C22×D4×C13C2311yescharacteristic
63C23×C4×C13D411yescharacteristic
64C23×C4×C13C2311yescharacteristic
65C2×C13×SD16—22no—
66C2×C13×D8—22no—
67C2×C13×M16—21no—
68C2×C13×M16—21no—
69C13×#126—22no—
70C13×#126—22no—
71C13×#126—22no—
72C13×#125—21no—
73C13×#125—22no—
74C13×#124—21no—
75C13×#124—22no—
76C13×#123—22no—
77C13×#123—22no—
78C13×#123—22no—
79C13×#123—22no—
80C13×#123—22no—
81C13×C22⋊Q8—21no—
82C13×C22⋊Q8—22no—
83C13×C22⋊Q8—21no—
84C13×C22⋊Q8—21no—
85C13×C22⋊Q8D412yescomplemented
86C13×C22⋊Q8C2312yes—
87C13×#121—21no—
88C13×#121—22no—
89C13×#121—22no—
90C13×#121—22no—
91C13×#121—21no—
92C13×#121—21no—
93C13×#121—21no—
94C13×#121—21no—
95C13×#121—21no—
96C13×#121—21no—
97C13×#121D412yescomplemented
98C13×#121C2312yes—
99C13×#120—22no—
100C13×#120—22no—
101C4×Q8×C13—21no—
102C4×D4×C13—22no—
103C4×D4×C13—22no—
104C4×D4×C13—22no—
105C4×D4×C13—21no—
106C4×D4×C13—21no—
107C4×D4×C13—21no—
108C4×D4×C13—21no—
109C4×D4×C13—21no—
110C4×D4×C13—22no—
111C4×D4×C13—22no—
112C13×#117—22no—
113C13×#117—21no—
114C13×#117—22no—
115C2×C13×C4⋊C4—21no—
116C2×C13×C4⋊C4—21no—
117C2×C13×C4⋊C4D411yescharacteristic, complemented
118C2×C13×C4⋊C4D411yescharacteristic, complemented
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⋊C4—21no—
129C2×C13×C22⋊C4—21no—
130C2×C13×C22⋊C4D411yescharacteristic
131C2×C13×C22⋊C4C2311yescharacteristic
132C2×C42×C13D411yescharacteristic
133C13×#107—22no—
134C13×#106—22no—
135C13×#103—22no—
136C13×#102—22no—
137C13×#102—22no—
138C13×#102—22no—
139C13×C22⋊C8—21no—
140C13×C22⋊C8—21no—
141C13×C22⋊C8C2312yes—
142C13×C22⋊C8C2312yes—
143C13×#95—21no—
144C13×#95—21no—
145C13×#95—21no—
146C13×#95C2311yescharacteristic
147C13×#95C2311yescharacteristic
148#18354C1311yesmaximal, characteristic, direct product factor, Sylow
149C24×C13—21no—
150C24×C13—21no—
151C24×C13C2×D411yescharacteristic
152C24×C13C2×D411yescharacteristic
153C13×#41—82no—
154C2×Q8×C13—21no—
155C2×Q8×C13—81no—
156C2×Q8×C13C2×D412yes—
157C2×D4×C13—21no—
158C2×D4×C13—21no—
159C2×D4×C13—22no—
160C2×D4×C13—22no—
161C2×D4×C13—22no—
162C2×D4×C13—22no—
163C2×D4×C13—21no—
164C2×D4×C13—21no—
165C2×D4×C13—21no—
166C2×D4×C13—41no—
167C2×D4×C13—41no—
168C2×D4×C13—42no—
169C2×D4×C13—42no—
170C2×D4×C13—42no—
171C2×D4×C13—41no—
172C2×D4×C13—41no—
173C2×D4×C13—81no—
174C2×D4×C13—81no—
175C2×D4×C13—81no—
176C2×D4×C13—81no—
177C2×D4×C13—81no—
178C2×D4×C13—81no—
179C2×D4×C13C2×D412yes—
180C22×C4×C13—21no—
181C22×C4×C13—22no—
182C22×C4×C13—22no—
183C22×C4×C13—21no—
184C22×C4×C13—21no—
185C22×C4×C13—21no—
186C22×C4×C13—21no—
187C22×C4×C13—21no—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13—81no—
191C22×C4×C13—81no—
192C22×C4×C13C2×D411yescharacteristic
193C22×C4×C13C2×D411yescharacteristic
194C22×C4×C13C2×D411yescharacteristic
195C22×C4×C13C2×D411yescharacteristic
196C22×C4×C13C2×D411yescharacteristic
197C22×C4×C13C2×D411yescharacteristic
198C22×C4×C13C2×D411yescharacteristic
199C22×C4×C13C2×D411yescharacteristic
200C22×C4×C13C2411yescharacteristic
201C13×SD16—82no—
202C13×D8—82no—
203C13×M16—81no—
204C13×M16—81no—
205C2×C8×C13—22no—
206C2×C8×C13—22no—
207C13×C4⋊C4—22no—
208C13×C4⋊C4—22no—
209C13×C4⋊C4—22no—
210C13×C4⋊C4—22no—
211C13×C4⋊C4—22no—
212C13×C4⋊C4—21no—
213C13×C4⋊C4—21no—
214C13×C4⋊C4—22no—
215C13×C4⋊C4—21no—
216C13×C4⋊C4—21no—
217C13×C4⋊C4—21no—
218C13×C4⋊C4—21no—
219C13×C4⋊C4—81no—
220C13×C4⋊C4C2×D412yes—
221C13×C4⋊C4C2×D412yes—
222C13×C22⋊C4—22no—
223C13×C22⋊C4—22no—
224C13×C22⋊C4—22no—
225C13×C22⋊C4—22no—
226C13×C22⋊C4—22no—
227C13×C22⋊C4—22no—
228C13×C22⋊C4—21no—
229C13×C22⋊C4—22no—
230C13×C22⋊C4—21no—
231C13×C22⋊C4—22no—
232C13×C22⋊C4—22no—
233C13×C22⋊C4—22no—
234C13×C22⋊C4—21no—
235C13×C22⋊C4—21no—
236C13×C22⋊C4—42no—
237C13×C22⋊C4—41no—
238C13×C22⋊C4—41no—
239C13×C22⋊C4—81no—
240C13×C22⋊C4—81no—
241C13×C22⋊C4—81no—
242C13×C22⋊C4—81no—
243C42×C13—22no—
244C42×C13—22no—
245C42×C13—21no—
246C42×C13—21no—
247#3505C2×C1311yescharacteristic, complemented
248#3193C2×C1311yescharacteristic, complemented
249#3192C2×C1311yescharacteristic, complemented
250#2635C2×C1311yescharacteristic, complemented
251#1618C2×C1312yescomplemented
252#1615C2×C1312yescomplemented
253#1600C2×C1312yescomplemented
254#1597C2×C1312yescomplemented
255#1511C2×C1311yescharacteristic, complemented
256#1510C2×C1311yescharacteristic, complemented
257#1465C2×C1311yescharacteristic, complemented
258C23×C13—21no—
259C23×C13—21no—
260C23×C13—21no—
261C23×C13—22no—
262C23×C13—21no—
263C23×C13—21no—
264C23×C13—41no—
265C23×C13—41no—
266C23×C13—41no—
267C23×C13—41no—
268C23×C13—42no—
269C23×C13—41no—
270C23×C13—41no—
271C23×C13—41no—
272C23×C13—41no—
273C23×C13—41no—
274C23×C13—41no—
275C23×C13—41no—
276C23×C13—81no—
277C23×C13—81no—
278C23×C13#12011yescharacteristic
279C23×C13#12011yescharacteristic
280C23×C13C22×D411yescharacteristic
281Q8×C13—42no—
282Q8×C13—42no—
283D4×C13—42no—
284D4×C13—42no—
285D4×C13—42no—
286D4×C13—42no—
287D4×C13—42no—
288D4×C13—42no—
289D4×C13—44no—
290D4×C13—42no—
291D4×C13—42no—
292D4×C13—82no—
293D4×C13—82no—
294D4×C13—82no—
295D4×C13—82no—
296D4×C13—84no—
297C2×C4×C13—21no—
298C2×C4×C13—21no—
299C2×C4×C13—22no—
300C2×C4×C13—21no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13—21no—
304C2×C4×C13—21no—
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—42no—
312C2×C4×C13—42no—
313C2×C4×C13—41no—
314C2×C4×C13—41no—
315C2×C4×C13—41no—
316C2×C4×C13—41no—
317C2×C4×C13—41no—
318C2×C4×C13—41no—
319C2×C4×C13—41no—
320C2×C4×C13—41no—
321C2×C4×C13—41no—
322C2×C4×C13—41no—
323C2×C4×C13—41no—
324C2×C4×C13—81no—
325C2×C4×C13—81no—
326C2×C4×C13—81no—
327C2×C4×C13—82no—
328C2×C4×C13—82no—
329C2×C4×C13#12011yescharacteristic
330C2×C4×C13#12011yescharacteristic
331C2×C4×C13C22×D411yescharacteristic
332C2×C4×C13C22×D411yescharacteristic
333C8×C13—42no—
334C8×C13—42no—
335#553—22no—
336#553—21no—
337#552—21no—
338#551—22no—
339#548—21no—
340#546—21no—
341#539C22×C1312yes—
342#538C22×C1312yes—
343#534—21no—
344#529—21no—
345#525—21no—
346C2×C22⋊Q8C22×C1311yescharacteristic
347C2×#121C22×C1311yescharacteristic
348C2×#121C22×C1311yescharacteristic
349#518—21no—
350C2×C4×D4C22×C1311yescharacteristic
351#484C22×C1312yescomplemented
352#481—21no—
353#481C22×C1312yes—
354#480—21no—
355#469—22no—
356#468—22no—
357#450C22×C1312yescomplemented
358#448—21no—
359#447—21no—
360#447C22×C1312yes—
361#407C22×C1311yescharacteristic
362#407C22×C1311yescharacteristic
363#400C22×C1311yescharacteristic, complemented
364#399C22×C1311yescharacteristic, complemented
365#394—21no—
366#394C22×C1311yescharacteristic, complemented
367#392—21no—
368#392C22×C1311yescharacteristic, complemented
369#388—21no—
370#386—21no—
371#381C22×C1311yescharacteristic
372#328C22×C1312yescomplemented
373#328C22×C1312yescomplemented
374#327C22×C1312yes—
375#327C22×C1312yes—
376#324C22×C1312yescomplemented
377#323C22×C1312yescomplemented
378C22×C13—21no—
379C22×C13—21no—
380C22×C13—21no—
381C22×C13—21no—
382C22×C13—21no—
383C22×C13—21no—
384C22×C13—21no—
385C22×C13—21no—
386C22×C13—42no—
387C22×C13—41no—
388C22×C13—42no—
389C22×C13—42no—
390C22×C13—41no—
391C22×C13—41no—
392C22×C13—42no—
393C22×C13—81no—
394C22×C13—81no—
395C22×C13—81no—
396C22×C13—81no—
397C22×C13—81no—
398C22×C13—81no—
399C22×C13—81no—
400C22×C13—81no—
401C22×C13—81no—
402C22×C13—81no—
403C22×C13—162no—
404C22×C13C2×#12011yescharacteristic
405C22×C13#57511yescharacteristic
406C22×C13#57511yescharacteristic
407C4×C13—21no—
408C4×C13—21no—
409C4×C13—21no—
410C4×C13—21no—
411C4×C13—41no—
412C4×C13—42no—
413C4×C13—41no—
414C4×C13—42no—
415C4×C13—41no—
416C4×C13—42no—
417C4×C13—81no—
418C4×C13—81no—
419C4×C13—81no—
420C2×#41—21no—
421C22×Q8D4×C1311yescharacteristic, complemented
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4D4×C1311yescharacteristic
426C22×D4D4×C1311yescharacteristic, complemented
427C22×D4C23×C1311yescharacteristic
428C23×C4D4×C1311yescharacteristic
429C23×C4C23×C1311yescharacteristic
430C2×SD16—22no—
431C2×D8—22no—
432C2×M16—21no—
433C2×M16—21no—
434#126—22no—
435#126—22no—
436#126—22no—
437#125—21no—
438#125—22no—
439#124—21no—
440#124—22no—
441#123—22no—
442#123—22no—
443#123—22no—
444#123—22no—
445#123—22no—
446C22⋊Q8—21no—
447C22⋊Q8—22no—
448C22⋊Q8—21no—
449C22⋊Q8—21no—
450C22⋊Q8D4×C1312yescomplemented
451C22⋊Q8C23×C1312yes—
452#121—21no—
453#121—22no—
454#121—22no—
455#121—22no—
456#121—21no—
457#121—21no—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121D4×C1312yescomplemented
463#121C23×C1312yes—
464#120—22no—
465#120—22no—
466C4×Q8—21no—
467C4×D4—22no—
468C4×D4—22no—
469C4×D4—22no—
470C4×D4—21no—
471C4×D4—21no—
472C4×D4—21no—
473C4×D4—21no—
474C4×D4—21no—
475C4×D4—22no—
476C4×D4—22no—
477#117—22no—
478#117—21no—
479#117—22no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4D4×C1311yescharacteristic, complemented
483C2×C4⋊C4D4×C1311yescharacteristic, complemented
484C2×C4⋊C4C23×C1311yescharacteristic
485C2×C4⋊C4C23×C1311yescharacteristic
486C2×C22⋊C4—22no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4—21no—
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—21no—
492C2×C22⋊C4—21no—
493C2×C22⋊C4—21no—
494C2×C22⋊C4—21no—
495C2×C22⋊C4D4×C1311yescharacteristic
496C2×C22⋊C4C23×C1311yescharacteristic
497C2×C42D4×C1311yescharacteristic
498#107—22no—
499#106—22no—
500#103—22no—
501#102—22no—
502#102—22no—
503#102—22no—
504C22⋊C8—21no—
505C22⋊C8—21no—
506C22⋊C8C23×C1312yes—
507C22⋊C8C23×C1312yes—
508#95—21no—
509#95—21no—
510#95—21no—
511#95C23×C1311yescharacteristic
512#95C23×C1311yescharacteristic
513C2×C13—21no—
514C2×C13—21no—
515C2×C13—41no—
516C2×C13—41no—
517C2×C13—81no—
518C2×C13—82no—
519C2×C13—161no—
520C2×C13#300511yescharacteristic
521C2×C13#302111yescharacteristic
522C2×C13#302611yescharacteristic
523C24—21no—
524C24—21no—
525C24C2×D4×C1311yescharacteristic
526C24C2×D4×C1311yescharacteristic
527#41—82no—
528C2×Q8—21no—
529C2×Q8—81no—
530C2×Q8C2×D4×C1312yes—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—22no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—41no—
541C2×D4—41no—
542C2×D4—42no—
543C2×D4—42no—
544C2×D4—42no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—81no—
548C2×D4—81no—
549C2×D4—81no—
550C2×D4—81no—
551C2×D4—81no—
552C2×D4—81no—
553C2×D4C2×D4×C1312yes—
554C22×C4—21no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—81no—
565C22×C4—81no—
566C22×C4C2×D4×C1311yescharacteristic
567C22×C4C2×D4×C1311yescharacteristic
568C22×C4C2×D4×C1311yescharacteristic
569C22×C4C2×D4×C1311yescharacteristic
570C22×C4C2×D4×C1311yescharacteristic
571C22×C4C2×D4×C1311yescharacteristic
572C22×C4C2×D4×C1311yescharacteristic
573C22×C4C2×D4×C1311yescharacteristic
574C22×C4C24×C1311yescharacteristic
575SD16—82no—
576D8—82no—
577M16—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—22no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—22no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—22no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—81no—
594C4⋊C4C2×D4×C1312yes—
595C4⋊C4C2×D4×C1312yes—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—42no—
611C22⋊C4—41no—
612C22⋊C4—41no—
613C22⋊C4—81no—
614C22⋊C4—81no—
615C22⋊C4—81no—
616C22⋊C4—81no—
617C42—22no—
618C42—22no—
619C42—21no—
620C42—21no—
621C13#1835411yescharacteristic, direct product factor, Sylow
622C23—21no—
623C23—21no—
624C23—21no—
625C23—22no—
626C23—21no—
627C23—21no—
628C23—41no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—42no—
633C23—41no—
634C23—41no—
635C23—41no—
636C23—41no—
637C23—41no—
638C23—41no—
639C23—41no—
640C23—81no—
641C23—81no—
642C23C13×#12011yescharacteristic
643C23C13×#12011yescharacteristic
644C23C22×D4×C1311yescharacteristic
645Q8—42no—
646Q8—42no—
647D4—42no—
648D4—42no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—44no—
654D4—42no—
655D4—42no—
656D4—82no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—84no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—21no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—81no—
689C2×C4—81no—
690C2×C4—81no—
691C2×C4—82no—
692C2×C4—82no—
693C2×C4C13×#12011yescharacteristic
694C2×C4C13×#12011yescharacteristic
695C2×C4C22×D4×C1311yescharacteristic
696C2×C4C22×D4×C1311yescharacteristic
697C8—42no—
698C8—42no—
699C22—21no—
700C22—21no—
701C22—21no—
702C22—21no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—21no—
707C22—42no—
708C22—42no—
709C22—41no—
710C22—41no—
711C22—42no—
712C22—41no—
713C22—42no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—81no—
719C22—81no—
720C22—81no—
721C22—81no—
722C22—81no—
723C22—81no—
724C22—162no—
725C22C2×C13×#12011yescharacteristic
726C22C13×#57511yescharacteristic
727C22C13×#57511yescharacteristic
728C4—21no—
729C4—21no—
730C4—21no—
731C4—21no—
732C4—41no—
733C4—42no—
734C4—41no—
735C4—42no—
736C4—41no—
737C4—42no—
738C4—81no—
739C4—81no—
740C4—81no—
741C2—21no—
742C2—21no—
743C2—41no—
744C2—41no—
745C2—81no—
746C2—82no—
747C2—161no—
748C2C13×#300511yescharacteristic
749C2C13×#302111yescharacteristic
750C2C13×#302611yescharacteristic
subgroupG/H
center, socleC22×C13C2×#120
commutator, Frattini, cosocleC22×C4C24×C13
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
1. C13×#3505C2semidirect
2. C13×#3193C2semidirect
3. C13×#3192C2semidirect
4. C13×#2635C2semidirect
5. C13×#1618C2semidirect
6. C13×#1615C2semidirect
7. C13×#1600C2semidirect
8. C13×#1597C2semidirect
9. C13×#1511C2semidirect
10. C13×#1510C2semidirect
11. C13×#1465C2semidirect
28. C13×#484C22semidirect
34. C13×#450C22semidirect
40. C13×#400C22semidirect
41. C13×#399C22semidirect
43. C13×#394C22semidirect
45. C13×#392C22semidirect
49. C13×#328C22semidirect
50. C13×#328C22semidirect
53. C13×#324C22semidirect
54. C13×#323C22semidirect
56. C22×Q8×C13D4semidirect
61. C22×D4×C13D4semidirect
85. C13×C22⋊Q8D4semidirect
97. C13×#121D4semidirect
117. C2×C13×C4⋊C4D4semidirect
118. C2×C13×C4⋊C4D4semidirect
148. #18354C13direct (N × H)
247. #3505C2×C13semidirect
248. #3193C2×C13semidirect
249. #3192C2×C13semidirect
250. #2635C2×C13semidirect
251. #1618C2×C13semidirect
252. #1615C2×C13semidirect
253. #1600C2×C13semidirect
254. #1597C2×C13semidirect
255. #1511C2×C13semidirect
256. #1510C2×C13semidirect
257. #1465C2×C13semidirect
351. #484C22×C13semidirect
357. #450C22×C13semidirect
363. #400C22×C13semidirect
364. #399C22×C13semidirect
366. #394C22×C13semidirect
368. #392C22×C13semidirect
372. #328C22×C13semidirect
373. #328C22×C13semidirect
376. #324C22×C13semidirect
377. #323C22×C13semidirect
421. C22×Q8D4×C13semidirect
426. C22×D4D4×C13semidirect
450. C22⋊Q8D4×C13semidirect
462. #121D4×C13semidirect
482. C2×C4⋊C4D4×C13semidirect
483. C2×C4⋊C4D4×C13semidirect
621. C13#18354direct (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×#31932
C13×#31922
C13×#26352
C13×#16182
C13×#16152
C13×#16002
C13×#15972
C13×#15112
C13×#15102
C13×#14652
#1835413