Finite Group Databasebeta

← #29691302

Subgroups — #29691302

Order 15616.

1024 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839908C211yesmaximal, characteristic
2#21448510C211yesmaximal, characteristic, complemented
3#21448409C211yesmaximal, characteristic, complemented
4#21446694C211yesmaximal, characteristic, complemented
5#21446673C211yesmaximal, characteristic, complemented
6#21446508C211yesmaximal, characteristic, complemented
7#21446451C211yesmaximal, characteristic, complemented
8#21446448C211yesmaximal, characteristic, complemented
9#21446164C211yesmaximal, characteristic, complemented
10#21446154C211yesmaximal, characteristic, complemented
11#21446135C211yesmaximal, characteristic, complemented
12#21446013C211yesmaximal, characteristic, complemented
13#21445756C211yesmaximal, characteristic, complemented
14#21445586C211yesmaximal, characteristic, complemented
15C61×#1934C211yesmaximal, characteristic, complemented
16C22×#11758224C2211yescharacteristic
17C22×#11758190C2211yescharacteristic
18C22×#11758199C2211yescharacteristic
19C2×#14519752C2211yescharacteristic
20C2×#14519739C2211yescharacteristic
21C2×#14519734C2211yescharacteristic
22C2×C4⋊C4×D61C2211yescharacteristic
23#16839908C418yescomplemented
24C2×#14519709C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26C2×#14519702C2211yescharacteristic
27C2×#14519700C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519699C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32C2×#14519689C2211yescharacteristic
33C2×#14519689C2211yescharacteristic
34C2×#14519688C2211yescharacteristic
35#16839668C2211yescharacteristic
36#16839667C2211yescharacteristic
37#16839665C2211yescharacteristic
38#16839664C2211yescharacteristic
39#16839663—21no—
40#16839651—21no—
41#16839640—21no—
42#16839638—21no—
43#16839638—21no—
44#16839633—21no—
45#16839620—21no—
46#16839620—21no—
47#16839619C2211yescharacteristic
48C4⋊C4×Dic61C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839516C2211yescharacteristic
52#16839516C2211yescharacteristic
53C2×#102×C61C2211yescharacteristic
54C2×#102×C61C2211yescharacteristic
55C2×C4×C8×C61C2211yescharacteristic
56C61×#390C2211yescharacteristic
57C61×#389C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C61×#340C2211yescharacteristic
60C2×#11758224—22no—
61C2×#11758224—41no—
62C2×#11758224—41no—
63C2×#11758224—41no—
64C2×#11758224—41no—
65C2×#11758224C2×C414yescomplemented
66C22×Dic122C2311yescharacteristic
67C22×D244—21no—
68C22×D244C2311yescharacteristic
69C22×C22⋊D61—21no—
70C23×Dic61—21no—
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C22×C4×D61C2311yescharacteristic
74C2×#11758190—41no—
75C2×#11758190—41no—
76C2×#11758190C2×C414yescomplemented
77C2×#11758199—41no—
78C2×#11758199—41no—
79C2×#11758199C2×C414yescomplemented
80C22×#92418C2311yescharacteristic
81C22×#92418C2311yescharacteristic
82#14519752—22no—
83#14519752C2×C414yes—
84#14519739—41no—
85#14519739—41no—
86#14519734—41no—
87#14519734—41no—
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×#11758196—21no—
91C2×#11758196D411yescharacteristic
92C2×#11758196D411yescharacteristic
93C4⋊C4×D61—41no—
94C4⋊C4×D61—41no—
95C2×C22⋊Dic61—21no—
96C2×C22⋊Dic61—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198D411yescharacteristic
103C2×#11758198D411yescharacteristic
104C2×C4×Dic61—21no—
105C2×C4×Dic61C2311yescharacteristic
106#14519709—41no—
107#14519708—41no—
108#14519702—41no—
109#14519700—41no—
110#14519700C2×C414yescomplemented
111#14519699—41no—
112#14519698—41no—
113#14519697—41no—
114#14519689—22no—
115#14519689C2×C414yescomplemented
116#14519688—41no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C22×D4×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C2×C4⋊C4×C61—21no—
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C22⋊C4×C61—21no—
131C2×C22⋊C4×C61—21no—
132C2×C42×C61C2311yescharacteristic
133#102×C61—41no—
134#102×C61C2×C414yescomplemented
135C4×C8×C61—41no—
136#95×C61—21no—
137C24×C61—21no—
138C23×D61—21no—
139C23×D61C2×D411yescharacteristic
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61C22×C412yes—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2411yescharacteristic
152C2×C22⋊D61—24no—
153C2×C22⋊D61—42no—
154C2×C22⋊D61—42no—
155C22×Dic61—21no—
156C22×Dic61—24no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—42no—
160C22×Dic61—42no—
161C22×Dic61C2×D411yescharacteristic
162C22×Dic61C2×D411yescharacteristic
163C22×Dic61C2×D411yescharacteristic
164#11758224—44no—
165#11758224—44no—
166#11758224—44no—
167#11758224—44no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—24no—
174C2×D244—81no—
175C2×D244—81no—
176C2×D244C22×C412yes—
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—81no—
184C2×C4×D61—81no—
185C2×C4×D61—81no—
186C2×C4×D61—81no—
187C2×C4×D61C22×C412yes—
188C2×C4×D61#4112yes—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122C22×C412yes—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61C22×C412yes—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—21no—
206C4⋊C4×C61—81no—
207C4⋊C4×C61C22×C412yes—
208C22⋊C4×C61—81no—
209C22⋊C4×C61—81no—
210C42×C61—21no—
211C42×C61—21no—
212C22⋊Dic61—81no—
213C22⋊Dic61—81no—
214#11758199—44no—
215#11758198—24no—
216#11758198—41no—
217#11758198—41no—
218#11758198—42no—
219#11758198—81no—
220#11758198—81no—
221#11758198—81no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61—21no—
226#11758196—41no—
227#11758196—41no—
228#11758196—42no—
229C4×Dic61—21no—
230C4×Dic61—21no—
231C4×Dic61—81no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418C22×C412yes—
238#11758190—44no—
239C23×C61—22no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61C22×D411yescharacteristic
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61—21no—
253C22×D61—22no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61—41no—
260C22×D61C4×D412yes—
261D4×C61—22no—
262D4×C61—22no—
263D4×C61—41no—
264D4×C61—41no—
265C2×C4×C61—22no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61C23×C411yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61H(5,𝔽2)11yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C2×C4×C61H(5,𝔽2)11yescharacteristic
285C2×C4×C61H(5,𝔽2)11yescharacteristic
286C22⋊D61—48no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—22no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—48no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61C4×D412yes—
306D244—22no—
307D244—22no—
308D244—41no—
309D244—41no—
310D244—84no—
311C4×D61—22no—
312C4×D61—22no—
313C4×D61—22no—
314C4×D61—22no—
315C4×D61—84no—
316C4×D61—84no—
317Dic122—22no—
318Dic122—22no—
319Dic122—41no—
320Dic122—41no—
321C8×C61—22no—
322C8×C61—41no—
323#92418—22no—
324#92418—41no—
325#22053—611nomaximal, Sylow
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61—81no—
330C22×C61—81no—
331C22×C61—81no—
332C22×C61—81no—
333C22×C61C2×C4×D411yescharacteristic
334C22×C61#53411yescharacteristic
335C22×C61#53511yescharacteristic
336C22×C61#57611yescharacteristic
337C22×C61#57711yescharacteristic
338C22×C61#57711yescharacteristic
339C22×C61#57711yescharacteristic
340C2×D61—22no—
341C2×D61—22no—
342C2×D61—22no—
343C2×D61—41no—
344C2×D61—41no—
345C2×D61—41no—
346C2×D61—41no—
347C2×D61—42no—
348C2×D61—42no—
349C2×D61—42no—
350C2×D61—81no—
351C2×D61—81no—
352C2×D61—81no—
353C2×D61—81no—
354C4×C61—41no—
355C4×C61—42no—
356C4×C61—41no—
357C4×C61—81no—
358C4×C61—81no—
359C4×C61#51811yescharacteristic
360C4×C61#51811yescharacteristic
361C4×C61#53811yescharacteristic
362C4×C61#53811yescharacteristic
363Dic61—22no—
364Dic61—42no—
365Dic61—41no—
366Dic61—41no—
367Dic61—81no—
368Dic61—81no—
369C2×#449—611no—
370#2324—611no—
371#2311—611no—
372#1972—611no—
373#1968—611no—
374#1935—611no—
375#1934D6111yescharacteristic, complemented
376#1927—611no—
377#1926—611no—
378#1879—611no—
379#1877—611no—
380#1874—611no—
381#1853—611no—
382#1788—611no—
383#1750—611no—
384C2×C61—82no—
385C2×C61#232111yescharacteristic
386C2×C61#294611yescharacteristic
387C2×C61#295211yescharacteristic
388C2×C61#319811yescharacteristic
389C2×C61#320411yescharacteristic
390C2×C61#322111yescharacteristic
391C2×C61#322411yescharacteristic
392D61—42no—
393D61—82no—
394C22×#41—611no—
395C22×SD16—611no—
396C22×D8—611no—
397C2×#121—611no—
398C2×C4×D4—611no—
399C2×#117—611no—
400C22×C4⋊C4—611no—
401#449—618no—
402C2×#106—611no—
403C2×#106—611no—
404C2×#103—611no—
405C2×#103—611no—
406C2×#103—611no—
407C2×#102—611no—
408C2×#102—611no—
409C2×#102—611no—
410C2×#102C2×D6111yescharacteristic
411C2×#102C2×D6111yescharacteristic
412C2×C22⋊C8—611no—
413C2×C22⋊C8—611no—
414C2×#97—611no—
415C2×C4×C8C2×D6111yescharacteristic
416#391—611no—
417#391—611no—
418#390—611no—
419#390—611no—
420#390—1221no—
421#390C2×D6111yescharacteristic
422#389C2×D6111yescharacteristic
423#388—1221no—
424#386—1221no—
425#386—1221no—
426#386—1221no—
427#385—1221no—
428#380—611no—
429#380—1221no—
430#380—1221no—
431C4×C4⋊C4—611no—
432#340—611no—
433#340—611no—
434#340C2×D6111yescharacteristic
435#340C2×D6111yescharacteristic
436#336—611no—
437#336—611no—
438C61#2205311yescharacteristic, complemented, Sylow
439C2×#41—614no—
440C2×#41—1222no—
441C2×#41—2441no—
442C2×#41—2441no—
443C2×#41—2441no—
444C2×#41—2441no—
445C22×Q8—611no—
446C22×D4—611no—
447C22×D4—1221no—
448C22×D4—1221no—
449C22×D4C22×D6111yescharacteristic
450C23×C4—611no—
451C23×C4—1221no—
452C23×C4—1221no—
453C23×C4—1221no—
454C2×SD16—614no—
455C2×SD16—2441no—
456C2×SD16—2441no—
457C2×D8—614no—
458C2×D8—2441no—
459C2×D8—2441no—
460C22×C8—611no—
461C22×C8—611no—
462C22×C8C22×D6111yescharacteristic
463C22×C8C22×D6111yescharacteristic
464#121—614no—
465#121—1222no—
466C4×D4—2441no—
467C4×D4—2441no—
468#117—2441no—
469#117—2441no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—611no—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—1221no—
476C2×C4⋊C4—2441no—
477C2×C4⋊C4—2441no—
478C2×C4⋊C4C22×D6111yescharacteristic
479C2×C4⋊C4C22×D6111yescharacteristic
480C2×C4⋊C4C22×D6111yescharacteristic
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—611no—
484C2×C22⋊C4—611no—
485C2×C22⋊C4—1221no—
486C2×C22⋊C4—1221no—
487C2×C22⋊C4—1221no—
488C2×C22⋊C4—1221no—
489C2×C22⋊C4—1221no—
490C2×C22⋊C4—1221no—
491C2×C22⋊C4—1221no—
492C2×C42—611no—
493C2×C42—1221no—
494C2×C42C22×D6111yescharacteristic
495#106—2441no—
496#106—2441no—
497#103—614no—
498#103—2441no—
499#103—2441no—
500#102—41no—
501#102—2441no—
502#102—2441no—
503#102—2441no—
504#102C4×D6114yescomplemented
505C22⋊C8—614no—
506C22⋊C8—1222no—
507#97—2441no—
508C4×C8—41no—
509#95—21no—
510#95—1221no—
511#95—1221no—
512#95—1221no—
513#95—1221no—
514#95—1221no—
515#95—1221no—
516C24—21no—
517C24—611no—
518C24—1221no—
519#41—2444no—
520#41—2444no—
521#41—2444no—
522#41—2444no—
523C2×Q8—612no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8—1221no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—612no—
535C2×D4—1224no—
536C2×D4—1224no—
537C2×D4—1221no—
538C2×D4—1221no—
539C2×D4—1221no—
540C2×D4—1221no—
541C2×D4—1221no—
542C2×D4—4881no—
543C2×D4—4881no—
544C2×D4—2442no—
545C2×D4—2442no—
546C2×D4C2×C4×D6112yes—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—611no—
551C22×C4—612no—
552C22×C4—612no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—1224no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—1221no—
560C22×C4—1221no—
561C22×C4—1221no—
562C22×C4—1221no—
563C22×C4—4881no—
564C22×C4—4881no—
565C22×C4—4881no—
566C22×C4—4881no—
567C22×C4—2442no—
568C22×C4—2442no—
569C22×C4—2442no—
570C22×C4—2442no—
571C22×C4D4×D6111yescharacteristic
572C22×C4D4×D6111yescharacteristic
573C22×C4C23×D6111yescharacteristic
574SD16—2444no—
575D8—2444no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—612no—
582C2×C8—1221no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8—1221no—
586C2×C8—1221no—
587C2×C8C2×C4×D6112yes—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—81no—
594C4⋊C4—1221no—
595C4⋊C4—1221no—
596C4⋊C4—1221no—
597C4⋊C4—1221no—
598C4⋊C4—2441no—
599C4⋊C4—2441no—
600C4⋊C4—2442no—
601C4⋊C4C2×C4×D6112yes—
602C22⋊C4—81no—
603C22⋊C4—81no—
604C22⋊C4—1224no—
605C22⋊C4—4881no—
606C22⋊C4—4881no—
607C22⋊C4—4881no—
608C22⋊C4—4881no—
609C22⋊C4—4881no—
610C22⋊C4—2441no—
611C22⋊C4—2441no—
612C22⋊C4—2442no—
613C42—21no—
614C42—21no—
615C42—1221no—
616C42—1221no—
617C42—4881no—
618C23—22no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—612no—
626C23—1221no—
627C23—1221no—
628C23—1221no—
629C23—1221no—
630C23—1221no—
631C23—1221no—
632C23—1222no—
633C23—2441no—
634C23—2441no—
635C23—2441no—
636C23—2441no—
637C23—2441no—
638C23—2441no—
639C23C2×D4×D6111yescharacteristic
640Q8—1222no—
641Q8—1222no—
642Q8—2441no—
643Q8—2441no—
644D4—22no—
645D4—22no—
646D4—41no—
647D4—41no—
648D4—1222no—
649D4—1222no—
650D4—4884no—
651D4—2448no—
652D4—2441no—
653D4—2441no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—612no—
670C2×C4—1221no—
671C2×C4—1221no—
672C2×C4—1222no—
673C2×C4—1222no—
674C2×C4—1222no—
675C2×C4—1222no—
676C2×C4—1222no—
677C2×C4—1221no—
678C2×C4—1221no—
679C2×C4—1221no—
680C2×C4—1221no—
681C2×C4—1221no—
682C2×C4—1221no—
683C2×C4—4884no—
684C2×C4—4884no—
685C2×C4—2448no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2441no—
694C2×C4C22×C4×D6111yescharacteristic
695C2×C4#41×D6111yescharacteristic
696C2×C4#1451982211yescharacteristic
697C2×C4#1451982311yescharacteristic
698C2×C4#1451982311yescharacteristic
699C2×C4#1451982311yescharacteristic
700C8—22no—
701C8—41no—
702C8—1222no—
703C8—2441no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22—1222no—
712C22—1222no—
713C22—1222no—
714C22—4881no—
715C22—4881no—
716C22—4881no—
717C22—4881no—
718C22—2442no—
719C22—2442no—
720C22—2442no—
721C22—2441no—
722C22—2441no—
723C22—2441no—
724C22—2441no—
725C22C4×D4×D6111yescharacteristic
726C22#1684032011yescharacteristic
727C22#1684033011yescharacteristic
728C22#1684056311yescharacteristic
729C22#1684056811yescharacteristic
730C22#1684056911yescharacteristic
731C22#1684056911yescharacteristic
732C4—41no—
733C4—42no—
734C4—41no—
735C4—81no—
736C4—81no—
737C4—1222no—
738C4—4881no—
739C4—4881no—
740C4—2442no—
741C4—2441no—
742C4—2441no—
743C4#1684023411yescharacteristic
744C4#1684023611yescharacteristic
745C4#1684034811yescharacteristic
746C4#1684035111yescharacteristic
747C2—82no—
748C2—4882no—
749C2—2442no—
750C2#2144847211yescharacteristic
751C2#2145464411yescharacteristic
752C2#2145469711yescharacteristic
753C2#2145666411yescharacteristic
754C2#2145672411yescharacteristic
755C2#2145688311yescharacteristic
756C2#2145691611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1934C2
socleC23×C61C22×D4
prime radicalC2×#16839908C2
cosocleC22×C4×C61C24
hypercenter#1934D61
hypocenterC61#22053
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1934

Complements

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

NH ≅ G/Ntype
2. #21448510C2semidirect
3. #21448409C2semidirect
4. #21446694C2semidirect
5. #21446673C2semidirect
6. #21446508C2semidirect
7. #21446451C2semidirect
8. #21446448C2semidirect
9. #21446164C2semidirect
10. #21446154C2semidirect
11. #21446135C2semidirect
12. #21446013C2semidirect
13. #21445756C2semidirect
14. #21445586C2semidirect
15. C61×#1934C2semidirect
23. #16839908C4semidirect
65. C2×#11758224C2×C4semidirect
76. C2×#11758190C2×C4semidirect
79. C2×#11758199C2×C4semidirect
110. #14519700C2×C4semidirect
115. #14519689C2×C4semidirect
134. #102×C61C2×C4semidirect
375. #1934D61semidirect
438. C61#22053semidirect
504. #102C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399082
#214485102
#214484092
#214466942
#214466732
#214465082
#214464512
#214464482
#214461642
#214461542
#214461352
#214460132
#214457562
#214455862
C61×#19342
#2205361