Finite Group Databasebeta

← #16800225

Subgroups — #16800225

Order 3328.

868 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
1#13131330C211yesmaximal, characteristic, complemented
2#13131275C211yesmaximal, characteristic
3#13131016C211yesmaximal, characteristic, complemented
4#13130948C211yesmaximal, characteristic, complemented
5#13130898C211yesmaximal, characteristic, complemented
6#13130897C211yesmaximal, characteristic, complemented
7#13130801C211yesmaximal, characteristic
8#13130801C211yesmaximal, characteristic
9#13130704C211yesmaximal, characteristic
10#13130651C211yesmaximal, characteristic, complemented
11#106×#261C211yesmaximal, characteristic, complemented
12#13130625C211yesmaximal, characteristic, complemented
13#13130607C211yesmaximal, characteristic
14#102×#261C211yesmaximal, characteristic
15D13×#478C211yesmaximal, characteristic
16C2×D4×#261C2211yescharacteristic
17C2×D4×#261C2211yescharacteristic
18D13×#125C2211yescharacteristic
19C4×D4×D13C2211yescharacteristic
20C2×#88115C2211yescharacteristic
21C2×#88115C2211yescharacteristic
22C4×C22⋊#261—21no—
23C2×(C2×#261)⋊C4—21no—
24C2×#88101C2211yescharacteristic
25C2×#88101C2211yescharacteristic
26C2×#88100C2211yescharacteristic
27C2×C8×#261C2211yescharacteristic
28#11719083—21no—
29#11719083—21no—
30#11719083C2211yescharacteristic
31#11719083C2211yescharacteristic
32#11719082—21no—
33#11719082—21no—
34C4⋊C4×#261C2211yescharacteristic
35C4⋊C4×#261C2211yescharacteristic
36C4⋊C4×#261C2211yescharacteristic
37C4⋊C4×#261C2211yescharacteristic
38C22⋊C4×#261—21no—
39C22⋊C4×#261—21no—
40#11719059C2211yescharacteristic
41C4×C4⋊#261C2211yescharacteristic
42#11719057C2211yescharacteristic
43D13⋊(C4⋊C8)C2211yescharacteristic
44C13×#478C411yescharacteristic, complemented
45#11718727C411yescharacteristic, complemented
46#11718670C411yescharacteristic, complemented
47#11718552C411yescharacteristic, complemented
48D13×#107C2211yescharacteristic
49#11718532C411yescharacteristic, complemented
50D13×#106C2211yescharacteristic
51#11718508C411yescharacteristic, complemented
52D13×C4⋊C8C2211yescharacteristic
53D13×#102C2211yescharacteristic
54D13×#102C2211yescharacteristic
55#11718427C411yescharacteristic, complemented
56#11718424C411yescharacteristic, complemented
57#11718265C2211yescharacteristic
58#11718265C2211yescharacteristic
59(C2×#261)⋊C8C2211yescharacteristic
60(C2×#261)⋊C8C2211yescharacteristic
61#11718246C2211yescharacteristic
62#11718246C2211yescharacteristic
63#11718246C2211yescharacteristic
64#11718246C2211yescharacteristic
65#11718246C2211yescharacteristic
66#11718246C2211yescharacteristic
67C23×#261—21no—
68C23×#261—21no—
69C2×D4×D13C2311yescharacteristic
70C22×C4×D13—21no—
71C2×C22⋊#261—21no—
72C2×C22⋊#261—21no—
73D4×#261—22no—
74D4×#261—22no—
75D4×#261—22no—
76D4×#261Q814yes—
77C2×C4⋊#261—21no—
78C2×C4⋊#261—21no—
79C2×C4⋊#261—21no—
80C2×C4⋊#261—21no—
81C2×C4⋊#261C2311yescharacteristic
82C2×C4⋊#261C2311yescharacteristic
83C2×C4⋊#261C2311yescharacteristic
84C2×C4⋊#261C2311yescharacteristic
85C2×C4×#261—21no—
86C2×C4×#261—21no—
87C2×C4×#261—21no—
88C2×C4×#261—21no—
89C2×C4×#261—21no—
90C2×C4×#261C2311yescharacteristic
91C2×C4×#261C2311yescharacteristic
92C2×D13⋊C8C2311yescharacteristic
93C2×D13⋊C8C2311yescharacteristic
94C13×#125C2×C411yescharacteristic, complemented
95C4×D4×C13C2×C411yescharacteristic
96D4×Dic13C2×C411yescharacteristic
97C4×C22⋊D13—21no—
98C2×C8×D13C2311yescharacteristic
99C2×C8×D13C2311yescharacteristic
100#88147C2×C411yescharacteristic
101C4⋊C4×D13—21no—
102C4⋊C4×D13—21no—
103C4⋊C4×D13C2311yescharacteristic
104C4⋊C4×D13C2311yescharacteristic
105C4⋊C4×D13C2311yescharacteristic
106#88144C2×C411yescharacteristic, complemented
107#88144C2×C411yescharacteristic, complemented
108#88143—21no—
109#88143—21no—
110#88135—21no—
111C22⋊C4×D13—21no—
112C4×D52C2×C411yescharacteristic
113C42×D13C2311yescharacteristic
114#88124C2×C411yescharacteristic, complemented
115#88115—22no—
116#88115—22no—
117(C2×#261)⋊C4—21no—
118(C2×#261)⋊C4—21no—
119(C2×#261)⋊C4—21no—
120(C2×#261)⋊C4—21no—
121(C2×#261)⋊C4—21no—
122(C2×#261)⋊C4—21no—
123(C2×#261)⋊C4—21no—
124(C2×#261)⋊C4D411yescharacteristic
125(C2×#261)⋊C4D411yescharacteristic
126(C2×#261)⋊C4D411yescharacteristic
127(C2×#261)⋊C4D411yescharacteristic
128#88112—21no—
129C4⋊#1057—21no—
130#88101—22no—
131#88101—22no—
132#88100—22no—
133C8×#261—22no—
134C13×#107C2×C411yescharacteristic, complemented
135C13×#106C2×C411yescharacteristic, complemented
136C13×C4⋊C8C2×C411yescharacteristic, complemented
137C13×#102C2×C411yescharacteristic
138C13×#102C2×C411yescharacteristic
139#88072C2×C411yescharacteristic
140#88072C2×C411yescharacteristic
141#88061C2×C411yescharacteristic
142#88061C2×C411yescharacteristic
143#88058C2×C411yescharacteristic, complemented
144#88057C2×C411yescharacteristic, complemented
145#88054C2×C411yescharacteristic, complemented
146#88054C2×C411yescharacteristic, complemented
147#88049C2×C411yescharacteristic
148#88049C2×C411yescharacteristic
149#88048C2×C411yescharacteristic, complemented
150#88048C2×C411yescharacteristic, complemented
151#88047C2×C411yescharacteristic, complemented
152#88047C2×C411yescharacteristic, complemented
153C4⋊#1055C2×C411yescharacteristic, complemented
154#21619—131nomaximal, Sylow
155C23×D13—21no—
156C22×#261—21no—
157C22×#261—21no—
158C22×#261—24no—
159C22×#261—24no—
160C22×#261—21no—
161C22×#261—21no—
162C22×#261—81no—
163C22×#261—81no—
164C22×#261—81no—
165C22×#261—81no—
166C22×#261C2×D411yescharacteristic
167C22×#261C2×D411yescharacteristic
168C22×#261C2×D411yescharacteristic
169C22×#261C2×D411yescharacteristic
170C2×D4×C13C22×C411yescharacteristic
171C22×C4×C13—21no—
172C2×C22⋊D13—21no—
173C22×Dic13—21no—
174D4×D13—21no—
175D4×D13—21no—
176D4×D13C2×Q812yes—
177D4×D13#4112yes—
178C2×D52C22×C411yescharacteristic
179C2×C4×D13—21no—
180C2×C4×D13—21no—
181C2×C4×D13—21no—
182C2×C4×D13—21no—
183C2×C4×D13—21no—
184C2×C4×D13—81no—
185C2×C4×D13—81no—
186C2×C4×D13C2×D411yescharacteristic
187C2×C4×D13C2×D411yescharacteristic
188C2×C4×D13C2411yescharacteristic
189C22⋊#261—24no—
190C22⋊#261—24no—
191C2×#1057—21no—
192C2×#1057—21no—
193C4⋊#261—21no—
194C4⋊#261—21no—
195C4⋊#261—21no—
196C4⋊#261—21no—
197C4⋊#261—21no—
198C4⋊#261—21no—
199C4⋊#261—81no—
200C4⋊#261—81no—
201C4⋊#261—81no—
202C4⋊#261—81no—
203C4⋊#261C2×Q812yes—
204C4⋊#261#4112yes—
205C4×#261—21no—
206C4×#261—21no—
207C4×#261—81no—
208C4×#261—81no—
209C4×#261—81no—
210C4×#261—81no—
211C4×#261—81no—
212C4×#261C2×Q812yes—
213C4×#261#4112yes—
214D13⋊C8—21no—
215D13⋊C8—21no—
216D13⋊C8—21no—
217D13⋊C8—21no—
218C2×C8×C13C22×C411yescharacteristic
219C2×C8×C13C22×C411yescharacteristic
220C13×C4⋊C4—21no—
221C13×C4⋊C4—21no—
222C13×C4⋊C4C22×C411yescharacteristic
223C13×C4⋊C4C22×C411yescharacteristic
224C13×C4⋊C4C22×C411yescharacteristic
225C13×C22⋊C4—21no—
226C42×C13C22×C411yescharacteristic
227C22⋊Dic13—21no—
228#6103—21no—
229#6103—21no—
230C4⋊Dic13—21no—
231C4⋊Dic13—21no—
232C4⋊Dic13C22×C411yescharacteristic
233C4⋊Dic13C22×C411yescharacteristic
234C4⋊Dic13C22×C411yescharacteristic
235#6101—21no—
236#6101—21no—
237#6101—21no—
238#6101—21no—
239#6101—21no—
240#6101—21no—
241#6101—21no—
242C4×Dic13C22×C411yescharacteristic
243C4×Dic13#4111yescharacteristic
244C4×Dic13#4111yescharacteristic
245C2×#1055C22×C411yescharacteristic
246C2×#1055C22×C411yescharacteristic
247C8×D13—21no—
248C8×D13—21no—
249C8×D13—21no—
250C8×D13—21no—
251C2×#478—131no—
252#2330—131no—
253#2275—131no—
254#1989—131no—
255#1948—131no—
256#1919—131no—
257#1918—131no—
258#1864—131no—
259#1864—131no—
260#1802—131no—
261#1776—131no—
262C4×#106—131no—
263#1768—131no—
264#1762—131no—
265C4×#102—131no—
266C23×C13—21no—
267C22×D13—21no—
268C22×D13—22no—
269C22×D13—22no—
270C22×D13—41no—
271C22×D13—41no—
272C22×D13—41no—
273C22×D13—41no—
274C22×D13C22×D411yescharacteristic
275C2×#261—21no—
276C2×#261—21no—
277C2×#261—21no—
278C2×#261—21no—
279C2×#261—22no—
280C2×#261—21no—
281C2×#261—21no—
282C2×#261—22no—
283C2×#261—21no—
284C2×#261—21no—
285C2×#261—21no—
286C2×#261—21no—
287C2×#261—41no—
288C2×#261—41no—
289C2×#261—41no—
290C2×#261—41no—
291C2×#261—41no—
292C2×#261—41no—
293C2×#261—41no—
294C2×#261—41no—
295C2×#261—41no—
296C2×#261—41no—
297C2×#261—84no—
298C2×#261—84no—
299C2×#261C22⋊Q812yes—
300C2×#261C22⋊Q812yes—
301D4×C13—21no—
302D4×C13C4×Q812yes—
303C2×C4×C13—21no—
304C2×C4×C13—21no—
305C2×C4×C13—21no—
306C2×C4×C13—81no—
307C2×C4×C13C4×D411yescharacteristic
308C2×C4×C13C4×D411yescharacteristic
309C2×C4×C13C23×C411yescharacteristic
310C22⋊D13—22no—
311C22⋊D13—22no—
312C2×Dic13—21no—
313C2×Dic13—21no—
314C2×Dic13—21no—
315C2×Dic13—81no—
316C2×Dic13C4×D411yescharacteristic
317C2×Dic13C4×D411yescharacteristic
318C2×Dic13C2×#4111yescharacteristic
319D52—21no—
320D52C4×Q812yes—
321C4×D13—21no—
322C4×D13—21no—
323C4×D13—21no—
324C4×D13—21no—
325C4×D13—41no—
326C4×D13—41no—
327C4×D13—41no—
328C4×D13—41no—
329C4×D13—41no—
330C4×D13—41no—
331C4×D13—81no—
332C4×D13—81no—
333C4×D13C22×Q811yescharacteristic
334C4×D13C2×#4111yescharacteristic
335C4×D13C2×#4111yescharacteristic
336C4×D13C2×#4111yescharacteristic
337#1057—41no—
338#1057—41no—
339C8×C13—21no—
340C8×C13—21no—
341#1055—21no—
342#1055—21no—
343C2×#125—131no—
344C2×C4×D4—131no—
345C2×C4×D4—131no—
346C2×C4×D4—131no—
347#478—131no—
348#478—131no—
349#478—131no—
350#478—131no—
351#478—131no—
352#478—131no—
353#478—131no—
354#478#26111yescharacteristic, complemented
355C2×#107—131no—
356C2×#106—131no—
357C2×#106—131no—
358C2×#106—131no—
359C2×C4⋊C8—131no—
360C2×C4⋊C8—131no—
361C2×#102—131no—
362C2×#102—131no—
363C2×#102—131no—
364C2×#102—131no—
365C2×#97—131no—
366C2×C4×C8—131no—
367#389—131no—
368#389—131no—
369#389—261no—
370#389—261no—
371#387—261no—
372#387—261no—
373#384—131no—
374C4×C4⋊C4—131no—
375C4×C4⋊C4—131no—
376C4×C4⋊C4—131no—
377C4×C4⋊C4—131no—
378C4×C4⋊C4—131no—
379C4×C22⋊C4—261no—
380C4×C22⋊C4—261no—
381C4×C22⋊C4—261no—
382#376—131no—
383C2×#95—261no—
384#340—131no—
385#340—131no—
386#340—131no—
387#340—131no—
388#340—131no—
389#340—131no—
390#340—131no—
391#340—131no—
392#336—131no—
393#336—131no—
394C22×C13—22no—
395C22×C13—41no—
396C22×C13—41no—
397C22×C13C2×C4×D411yescharacteristic
398C2×D13—22no—
399C2×D13—41no—
400C2×D13—41no—
401C2×D13—42no—
402C2×D13—42no—
403C2×D13—42no—
404C2×D13—42no—
405C2×D13C2×C22⋊Q811yescharacteristic
406C2×D13#52511yescharacteristic
407C2×D13#57611yescharacteristic
408C2×D13#57711yescharacteristic
409C2×D13#57711yescharacteristic
410C2×D13#57711yescharacteristic
411#261—22no—
412#261—22no—
413#261—42no—
414#261—41no—
415#261—41no—
416#261—42no—
417#261—81no—
418#261—81no—
419C4×C13—21no—
420C4×C13—21no—
421C4×C13—41no—
422C4×C13—41no—
423C4×C13—41no—
424C4×C13C2×C4×Q811yescharacteristic
425C4×C13C4×#4111yescharacteristic
426Dic13—21no—
427Dic13—21no—
428Dic13—41no—
429Dic13—41no—
430Dic13—41no—
431Dic13#52911yescharacteristic
432Dic13#53311yescharacteristic
433C22×D4—131no—
434C23×C4—261no—
435C23×C4—261no—
436C23×C4—261no—
437C22×C8—131no—
438C22×C8—131no—
439C22×C8—131no—
440C22×C8—131no—
441#125—131no—
442#125—131no—
443#125—131no—
444#125—261no—
445#125—261no—
446#125C2×#26111yescharacteristic, complemented
447C4×D4—134no—
448C4×D4—131no—
449C4×D4—131no—
450C4×D4—131no—
451C4×D4—261no—
452C4×D4—261no—
453C4×D4—262no—
454C4×D4—262no—
455C4×D4—262no—
456C4×D4C2×#26111yescharacteristic
457C2×C4⋊C4—131no—
458C2×C4⋊C4—131no—
459C2×C4⋊C4—131no—
460C2×C4⋊C4—131no—
461C2×C4⋊C4—131no—
462C2×C4⋊C4—131no—
463C2×C4⋊C4—131no—
464C2×C4⋊C4—261no—
465C2×C4⋊C4—261no—
466C2×C4⋊C4—261no—
467C2×C4⋊C4—261no—
468C2×C4⋊C4—261no—
469C2×C4⋊C4—261no—
470C2×C22⋊C4—261no—
471C2×C22⋊C4—261no—
472C2×C22⋊C4—261no—
473C2×C42—131no—
474C2×C42—131no—
475C2×C42—131no—
476C2×C42—261no—
477C2×C42—261no—
478C2×C42—261no—
479C2×C42—261no—
480C2×C42—261no—
481#107—131no—
482#107—131no—
483#107—131no—
484#107C2×#26111yescharacteristic, complemented
485#106—131no—
486#106—131no—
487#106—131no—
488#106—262no—
489#106—262no—
490#106C2×#26111yescharacteristic, complemented
491C4⋊C8—131no—
492C4⋊C8—131no—
493C4⋊C8—131no—
494C4⋊C8—261no—
495C4⋊C8—261no—
496C4⋊C8C2×#26111yescharacteristic, complemented
497#102—131no—
498#102—131no—
499#102—131no—
500#102—131no—
501#102—131no—
502#102—131no—
503#102—262no—
504#102—262no—
505#102C2×#26111yescharacteristic
506#102C2×#26111yescharacteristic
507#97—262no—
508C4×C8—262no—
509#95—131no—
510#95—131no—
511#95—131no—
512#95—131no—
513#95—261no—
514#95—261no—
515#95—261no—
516#95—261no—
517#95—261no—
518#95—261no—
519#95—261no—
520C2×C13—42no—
521C2×C13C4×C22⋊Q811yescharacteristic
522C2×C13#294611yescharacteristic
523C2×C13#295211yescharacteristic
524D13—42no—
525D13#308111yescharacteristic
526D13#308411yescharacteristic
527D13#311911yescharacteristic
528D13#312311yescharacteristic
529C24—261no—
530C2×D4—132no—
531C2×D4—132no—
532C2×D4—131no—
533C2×D4—261no—
534C2×D4—261no—
535C2×D4—261no—
536C2×D4C22×#26111yescharacteristic
537C22×C4—21no—
538C22×C4—131no—
539C22×C4—131no—
540C22×C4—131no—
541C22×C4—131no—
542C22×C4—131no—
543C22×C4—131no—
544C22×C4—131no—
545C22×C4—261no—
546C22×C4—261no—
547C22×C4—261no—
548C22×C4—261no—
549C22×C4—261no—
550C22×C4—264no—
551C22×C4—261no—
552C22×C4—261no—
553C22×C4—264no—
554C22×C4—261no—
555C22×C4—261no—
556C22×C4—261no—
557C22×C4—1041no—
558C22×C4—1041no—
559C22×C4—1041no—
560C22×C4—1041no—
561C22×C4—1041no—
562C22×C4—1041no—
563C2×C8—131no—
564C2×C8—131no—
565C2×C8—261no—
566C2×C8—261no—
567C2×C8—261no—
568C2×C8—261no—
569C2×C8—261no—
570C2×C8—261no—
571C2×C8—261no—
572C2×C8—261no—
573C2×C8—261no—
574C2×C8—261no—
575C2×C8C22×#26111yescharacteristic
576C2×C8C22×#26111yescharacteristic
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—132no—
580C4⋊C4—132no—
581C4⋊C4—131no—
582C4⋊C4—131no—
583C4⋊C4—131no—
584C4⋊C4—261no—
585C4⋊C4—261no—
586C4⋊C4—261no—
587C4⋊C4—261no—
588C4⋊C4—261no—
589C4⋊C4—261no—
590C4⋊C4—261no—
591C4⋊C4—261no—
592C4⋊C4—261no—
593C4⋊C4—261no—
594C4⋊C4—261no—
595C4⋊C4—261no—
596C4⋊C4—261no—
597C4⋊C4—261no—
598C4⋊C4—261no—
599C4⋊C4—1041no—
600C4⋊C4—1041no—
601C4⋊C4—1041no—
602C4⋊C4—1041no—
603C4⋊C4C22×#26111yescharacteristic
604C4⋊C4C22×#26111yescharacteristic
605C4⋊C4C22×#26111yescharacteristic
606C22⋊C4—21no—
607C22⋊C4—261no—
608C22⋊C4—261no—
609C22⋊C4—264no—
610C22⋊C4—264no—
611C22⋊C4—261no—
612C42—132no—
613C42—132no—
614C42—131no—
615C42—131no—
616C42—131no—
617C42—261no—
618C42—261no—
619C42—1041no—
620C42—1041no—
621C42—1041no—
622C42—1041no—
623C42—1041no—
624C42C22×#26111yescharacteristic
625C13#2161911yescharacteristic, complemented, Sylow
626C23—21no—
627C23—131no—
628C23—262no—
629C23—262no—
630C23—261no—
631C23—521no—
632C23—521no—
633C23—521no—
634C23—521no—
635D4—21no—
636D4—132no—
637D4—262no—
638D4—262no—
639D4—261no—
640D4Q8×#26112yes—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—81no—
645C2×C4—131no—
646C2×C4—131no—
647C2×C4—131no—
648C2×C4—131no—
649C2×C4—131no—
650C2×C4—132no—
651C2×C4—132no—
652C2×C4—131no—
653C2×C4—131no—
654C2×C4—261no—
655C2×C4—261no—
656C2×C4—261no—
657C2×C4—261no—
658C2×C4—261no—
659C2×C4—261no—
660C2×C4—261no—
661C2×C4—261no—
662C2×C4—261no—
663C2×C4—261no—
664C2×C4—261no—
665C2×C4—262no—
666C2×C4—262no—
667C2×C4—261no—
668C2×C4—261no—
669C2×C4—261no—
670C2×C4—261no—
671C2×C4—261no—
672C2×C4—261no—
673C2×C4—521no—
674C2×C4—521no—
675C2×C4—521no—
676C2×C4—521no—
677C2×C4—521no—
678C2×C4—521no—
679C2×C4—521no—
680C2×C4—521no—
681C2×C4—521no—
682C2×C4—521no—
683C2×C4—521no—
684C2×C4—521no—
685C2×C4—521no—
686C2×C4—521no—
687C2×C4—521no—
688C2×C4—521no—
689C2×C4—1041no—
690C2×C4—1041no—
691C2×C4—1041no—
692C2×C4—1044no—
693C2×C4—1044no—
694C2×C4D4×#26111yescharacteristic
695C2×C4D4×#26111yescharacteristic
696C2×C4C23×#26111yescharacteristic
697C8—21no—
698C8—21no—
699C8—261no—
700C8—261no—
701C8—521no—
702C8—521no—
703C22—22no—
704C22—41no—
705C22—41no—
706C22—131no—
707C22—131no—
708C22—131no—
709C22—131no—
710C22—131no—
711C22—131no—
712C22—262no—
713C22—522no—
714C22—522no—
715C22—522no—
716C22—522no—
717C22—521no—
718C22—521no—
719C22C2×D4×#26111yescharacteristic
720C4—21no—
721C4—21no—
722C4—41no—
723C4—41no—
724C4—41no—
725C4—131no—
726C4—131no—
727C4—262no—
728C4—262no—
729C4—261no—
730C4—261no—
731C4—521no—
732C4—521no—
733C4—522no—
734C4—522no—
735C4—521no—
736C4—521no—
737C4—521no—
738C4—1041no—
739C4—1041no—
740C4C2×Q8×#26111yescharacteristic
741C4#41×#26111yescharacteristic
742C2—42no—
743C2—131no—
744C2—131no—
745C2—131no—
746C2—131no—
747C2—522no—
748C2C22⋊Q8×#26111yescharacteristic
749C2#1313159311yescharacteristic
750C2#1313159911yescharacteristic
subgroupG/H
centerC22C2×D4×#261
commutatorC2×C4×C13C23×C4
FrattiniC2×C4C23×#261
FittingC13×#478C4
socleC22×C13C2×C4×D4
prime radicalC2×D4×D13C23
cosocleC2×C4×D13C24
hypercenter#478#261
hypocenterC13#21619
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C42 ◁ #478

Complements

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

NH ≅ G/Ntype
1. #13131330C2semidirect
3. #13131016C2semidirect
4. #13130948C2semidirect
5. #13130898C2semidirect
6. #13130897C2semidirect
10. #13130651C2semidirect
11. #106×#261C2semidirect
12. #13130625C2semidirect
44. C13×#478C4semidirect
45. #11718727C4semidirect
46. #11718670C4semidirect
47. #11718552C4semidirect
49. #11718532C4semidirect
51. #11718508C4semidirect
55. #11718427C4semidirect
56. #11718424C4semidirect
94. C13×#125C2×C4semidirect
106. #88144C2×C4semidirect
107. #88144C2×C4semidirect
114. #88124C2×C4semidirect
134. C13×#107C2×C4semidirect
135. C13×#106C2×C4semidirect
136. C13×C4⋊C8C2×C4semidirect
143. #88058C2×C4semidirect
144. #88057C2×C4semidirect
145. #88054C2×C4semidirect
146. #88054C2×C4semidirect
149. #88048C2×C4semidirect
150. #88048C2×C4semidirect
151. #88047C2×C4semidirect
152. #88047C2×C4semidirect
153. C4⋊#1055C2×C4semidirect
354. #478#261semidirect
446. #125C2×#261semidirect
484. #107C2×#261semidirect
490. #106C2×#261semidirect
496. C4⋊C8C2×#261semidirect
625. C13#21619semidirect

Maximal subgroups

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

subgroupindex
#131313302
#131312752
#131310162
#131309482
#131308982
#131308972
#131308012
#131307042
#131306512
#106×#2612
#131306252
#131306072
#102×#2612
D13×#4782
#2161913