Finite Group Databasebeta

← #30622217

Subgroups — #30622217

Order 15616.

864 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840809C211yesmaximal, characteristic, complemented
2C2×#16840805C211yesmaximal, characteristic, complemented
3#21462564C211yesmaximal, characteristic, complemented
4#21462464C211yesmaximal, characteristic, complemented
5#21461956C211yesmaximal, characteristic, complemented
6#21461934C211yesmaximal, characteristic, complemented
7#21461914C211yesmaximal, characteristic, complemented
8#21461913C211yesmaximal, characteristic, complemented
9#21461810C211yesmaximal, characteristic, complemented
10#21461808C211yesmaximal, characteristic, complemented
11#21461789C211yesmaximal, characteristic, complemented
12#21461788C211yesmaximal, characteristic, complemented
13#21461608C211yesmaximal, characteristic, complemented
14#21461582C211yesmaximal, characteristic, complemented
15#21455271C211yesmaximal, characteristic
16C2×#14519865C2211yescharacteristic
17C2×#14519864C2211yescharacteristic
18C2×#14519864C2211yescharacteristic
19C2×#14519864C2211yescharacteristic
20#16840809—24no—
21#16840805—24no—
22#16840795—21no—
23#16840794—21no—
24#16840791—21no—
25#16840789—21no—
26C2×#14519847C2211yescharacteristic
27C2×#14519847C2211yescharacteristic
28#16840769C2211yescharacteristic
29#16840769C2211yescharacteristic
30#16840768—21no—
31#16840768—21no—
32#16840766C2211yescharacteristic
33#16840765—21no—
34D61⋊(C4⋊C8)C2211yescharacteristic
35C2×C4⋊#92420—21no—
36C2×#14519842C2211yescharacteristic
37C2×#14519842C2211yescharacteristic
38C2×#14519841C2211yescharacteristic
39C2×#14519841C2211yescharacteristic
40C2×#14519841C2211yescharacteristic
41C2×#14519841C2211yescharacteristic
42#16840737C2211yescharacteristic
43#16840736C2211yescharacteristic
44C4×#11758213C2211yescharacteristic
45C2×#14519831C2211yescharacteristic
46C2×C8×#6923C2211yescharacteristic
47#16840698C2211yescharacteristic
48#16840638C2211yescharacteristic
49#16840638C2211yescharacteristic
50#16840632C2211yescharacteristic
51#16840632C2211yescharacteristic
52(C2×#6923)⋊C8C2211yescharacteristic
53(C2×#6923)⋊C8C2211yescharacteristic
54C2×#14519798C2211yescharacteristic
55C2×#14519796C2211yescharacteristic
56#16840311C2211yescharacteristic
57C4×#11758224C2211yescharacteristic
58#16839985C411yescharacteristic, complemented
59#16839981C411yescharacteristic, complemented
60#16839977C411yescharacteristic, complemented
61#16839971C411yescharacteristic, complemented
62#16839965C411yescharacteristic, complemented
63#16839961C411yescharacteristic, complemented
64#16839955C411yescharacteristic, complemented
65C4⋊C8×D61C2211yescharacteristic
66#16839757C2211yescharacteristic
67#16839755C2211yescharacteristic
68C61×#463C411yescharacteristic, complemented
69#14519865—22no—
70#14519865—41no—
71#14519864—22no—
72#14519864—22no—
73#14519864—22no—
74#14519864—41no—
75#14519864—41no—
76#14519864—41no—
77C2×#11758213—21no—
78C2×#11758213C2311yescharacteristic
79C2×#11758213C2311yescharacteristic
80C2×#11758213C2311yescharacteristic
81C2×#11758213C2311yescharacteristic
82C2×#11758217—21no—
83C2×#11758217—21no—
84C2×#11758217—21no—
85C2×D61⋊C8—21no—
86C2×D61⋊C8C2311yescharacteristic
87C2×D61⋊C8C2311yescharacteristic
88C22×#92420—21no—
89C22×#92420—21no—
90C22×#92420—21no—
91C2×C4×#6923C2311yescharacteristic
92C2×C4×#6923C2311yescharacteristic
93#14519847—22no—
94#14519847—22no—
95#14519844—21no—
96#14519844—21no—
97#14519844D411yescharacteristic
98#14519844D411yescharacteristic
99C4⋊#92420—21no—
100C4⋊#92420—21no—
101C4⋊#92420—21no—
102C4⋊#92420—21no—
103C4⋊#92420D411yescharacteristic
104C4⋊#92420D411yescharacteristic
105#14519842—22no—
106#14519842—41no—
107#14519841—22no—
108#14519841—22no—
109#14519841—41no—
110#14519841D414yescomplemented
111#14519834—21no—
112#14519834—21no—
113C22⋊#92420—21no—
114C22⋊#92420—21no—
115#14519832—21no—
116#14519831—22no—
117C4×#92420—21no—
118C8×#6923—22no—
119(C2×#6923)⋊C4—21no—
120(C2×#6923)⋊C4—21no—
121C2×#11758226C2311yescharacteristic
122C2×#11758224C2311yescharacteristic
123C2×#11758224C2311yescharacteristic
124#14519798—22no—
125#14519798—22no—
126#14519796—22no—
127#14519796—22no—
128C2×Dic244C2×C411yescharacteristic
129C2×#11758202C2×C411yescharacteristic
130C2×#11758190C2×C411yescharacteristic
131C2×#11758200C2×C411yescharacteristic
132C2×#11758200C2×C411yescharacteristic
133C2×#11758199C2×C411yescharacteristic
134C2×C8×D61C2311yescharacteristic
135C2×C8×D61C2311yescharacteristic
136#14519775C2×C411yescharacteristic
137#14519773C2×C411yescharacteristic
138#14519765C2×C411yescharacteristic
139#14519750—21no—
140#14519750—21no—
141C4×Dic122C2×C411yescharacteristic
142#14519742C2×C411yescharacteristic
143D4×Dic61C2×C411yescharacteristic
144C4×C22⋊D61—21no—
145#14519737—21no—
146#14519737—21no—
147#14519737—21no—
148#14519735C2311yescharacteristic
149#14519733—21no—
150C2×C4×Dic61—21no—
151C42×D61C2311yescharacteristic
152C4⋊#92418C2×C411yescharacteristic
153#14519706C2×C411yescharacteristic
154#14519706C2×C411yescharacteristic
155#14519702C2×C411yescharacteristic
156#14519701C2×C411yescharacteristic
157#14519700C2×C411yescharacteristic
158#14519699C2×C411yescharacteristic
159#14519698C2×C411yescharacteristic
160#14519697C2×C411yescharacteristic
161C2×SD16×C61C2×C411yescharacteristic
162C2×D8×C61C2×C411yescharacteristic
163#124×C61C2×C411yescharacteristic
164C4×D4×C61C2×C411yescharacteristic
165C4⋊C8×C61C2×C411yescharacteristic
166#103×C61C2×C411yescharacteristic
167#102×C61C2×C411yescharacteristic
168C22×#6923—21no—
169C22×#6923—21no—
170C2×Q8×C61C22×C411yescharacteristic
171C2×D4×C61C22×C411yescharacteristic
172C2×D4×C61C22×C411yescharacteristic
173C22×C4×C61—21no—
174C2×C22⋊D61—21no—
175C2×C22⋊D61—21no—
176C2×C22⋊D61—21no—
177C2×C22⋊D61—21no—
178C22×Dic61—21no—
179C22×Dic61—21no—
180C22×Dic61—21no—
181#11758226—21no—
182#11758226—21no—
183#11758226—21no—
184#11758226—21no—
185#11758224—21no—
186#11758224—21no—
187#11758224—21no—
188#11758224—21no—
189#11758224—21no—
190#11758224—21no—
191#11758224C2×D412yes—
192#11758224#4112yes—
193C2×D244—21no—
194C2×D244C22×C411yescharacteristic
195C2×C4×D61—21no—
196C2×C4×D61#4111yescharacteristic
197C2×C4×D61#4111yescharacteristic
198C2×C4×D61C2411yescharacteristic
199C2×Dic122C22×C411yescharacteristic
200C2×Dic122C22×C411yescharacteristic
201#11758217—42no—
202#11758217—42no—
203#11758217—42no—
204C2×#92420—21no—
205C2×#92420—21no—
206C2×#92420—21no—
207C2×#92420—21no—
208C2×#92420—42no—
209C2×#92420—42no—
210C2×#92420—42no—
211C2×#92420C2×D411yescharacteristic
212C2×#92420C2×D411yescharacteristic
213C2×#92420C2×D411yescharacteristic
214C2×#92420C2×D411yescharacteristic
215C4×#6923—21no—
216C4×#6923—21no—
217C4×#6923—21no—
218C4×#6923C2×D412yes—
219#11758213—21no—
220#11758213—21no—
221#11758213—21no—
222#11758213—21no—
223#11758213—21no—
224#11758213—21no—
225#11758213—21no—
226#11758213—42no—
227#11758213C2×D412yes—
228D61⋊C8—21no—
229D61⋊C8—21no—
230D61⋊C8—21no—
231D61⋊C8—21no—
232D61⋊C8—42no—
233SD16×C61—22no—
234D8×C61—22no—
235C2×C8×C61C22×C411yescharacteristic
236C2×C8×C61C22×C411yescharacteristic
237C4⋊C4×C61C22×C411yescharacteristic
238C22⋊C4×C61—21no—
239C22⋊C4×C61—21no—
240C22⋊C4×C61—21no—
241C42×C61C22×C411yescharacteristic
242C22⋊Dic61—21no—
243#11758202—22no—
244#11758200—22no—
245#11758200—22no—
246#11758199—22no—
247#11758198—21no—
248#11758198—21no—
249#11758198—21no—
250C4⋊Dic61C22×C411yescharacteristic
251#11758196—21no—
252#11758196—21no—
253#11758196—21no—
254#11758196—21no—
255C4×Dic61—21no—
256C4×Dic61—21no—
257C4×Dic61—21no—
258C4×Dic61C22×C411yescharacteristic
259C4×Dic61C2×D411yescharacteristic
260C4×Dic61C2×D411yescharacteristic
261C2×#92418C22×C411yescharacteristic
262C2×#92418C22×C411yescharacteristic
263Dic244—22no—
264#11758190—22no—
265C8×D61—21no—
266C8×D61—21no—
267C8×D61—21no—
268C8×D61—21no—
269C23×C61—21no—
270C23×C61—21no—
271C22×D61—21no—
272C22×D61C2×#4111yescharacteristic
273C2×#6923—22no—
274C2×#6923—41no—
275C2×#6923—41no—
276C2×#6923—41no—
277C2×#6923—41no—
278C2×#6923—41no—
279Q8×C61—21no—
280Q8×C61—21no—
281D4×C61—21no—
282D4×C61—21no—
283D4×C61—21no—
284D4×C61C4×D412yes—
285C2×C4×C61—21no—
286C2×C4×C61—21no—
287C2×C4×C61—42no—
288C2×C4×C61C4×D411yescharacteristic
289C2×C4×C61C4×D411yescharacteristic
290C2×C4×C61C23×C411yescharacteristic
291C22⋊D61—22no—
292C22⋊D61—22no—
293C22⋊D61—42no—
294C22⋊D61—41no—
295C22⋊D61—41no—
296C22⋊D61—81no—
297C2×Dic61—21no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—21no—
301C2×Dic61—21no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—81no—
305C2×Dic61C4×D411yescharacteristic
306C2×Dic61C4×D411yescharacteristic
307C2×Dic61C22×D411yescharacteristic
308D244—21no—
309D244—21no—
310D244—41no—
311D244—41no—
312C4×D61—41no—
313C4×D61—41no—
314C4×D61—41no—
315C4×D61—41no—
316C4×D61C22×D411yescharacteristic
317C4×D61C2×#4111yescharacteristic
318C4×D61H(5,𝔽2)11yescharacteristic
319C4×D612−1+411yescharacteristic
320Dic122—21no—
321Dic122—21no—
322Dic122—21no—
323Dic122C4×D412yes—
324#92420—21no—
325#92420—21no—
326#92420—21no—
327#92420—21no—
328#92420—22no—
329#92420—41no—
330#92420—41no—
331#92420—41no—
332C8×C61—21no—
333C8×C61—21no—
334#92418—21no—
335#92418—21no—
336#23017—611nomaximal, Sylow
337C22×C61—22no—
338C22×C61—41no—
339C22×C61—41no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61C2×C4×D411yescharacteristic
344C2×D61—21no—
345C2×D61—21no—
346C2×D61—41no—
347C2×D61—41no—
348C2×D61—41no—
349C2×D61#54711yescharacteristic
350C2×D61#55311yescharacteristic
351#6923—42no—
352#6923—81no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—41no—
356C4×C61—41no—
357C4×C61C2×C4×D411yescharacteristic
358C4×C61#52011yescharacteristic
359Dic61—22no—
360Dic61—21no—
361Dic61—21no—
362Dic61—41no—
363Dic61—41no—
364Dic61D4211yescharacteristic
365Dic61#54811yescharacteristic
366#3035—611no—
367C2×#444—611no—
368C2×#443—611no—
369#2935—611no—
370#2906—611no—
371#1963—611no—
372#1950—611no—
373#1938—611no—
374#1937—611no—
375#1876—611no—
376#1876—611no—
377#1866—611no—
378#1866—611no—
379#1768—611no—
380#1759—611no—
381C2×C61—42no—
382C2×C61—81no—
383C2×C61#236111yescharacteristic
384C2×C61#295511yescharacteristic
385C2×C61#295711yescharacteristic
386D61—21no—
387D61—21no—
388D61—81no—
389C2×#135—611no—
390C2×#135—611no—
391C2×#131—611no—
392C2×#131—611no—
393C2×#131—611no—
394C2×#131—611no—
395#532—611no—
396C4×#41—611no—
397#464—611no—
398#464—611no—
399#463—611no—
400#463#692311yescharacteristic, complemented
401#462—611no—
402#461—611no—
403#460—611no—
404#459—611no—
405#444—1224no—
406#443—1224no—
407#436—1221no—
408#435—1221no—
409#435—1221no—
410C8×D4—1221no—
411C2×#108—611no—
412C2×#108—611no—
413#424—611no—
414#424—611no—
415#424—1221no—
416#424—1221no—
417#423—611no—
418#423—1221no—
419C2×C4⋊C8—611no—
420C2×C4⋊C8—611no—
421C2×C4⋊C8—1221no—
422C2×#104—611no—
423C2×#104—611no—
424C2×#104—611no—
425C2×#104—611no—
426C2×#104—611no—
427C2×#104—611no—
428#416—611no—
429#416—611no—
430#408—611no—
431#408—611no—
432C4×M16—611no—
433C2×#97—611no—
434C2×C4×C8—611no—
435#376—611no—
436#341—611no—
437#341—611no—
438#339—611no—
439#339—611no—
440#336—611no—
441#336—611no—
442C61#2301711yescharacteristic, complemented, Sylow
443C2×#41—611no—
444C2×#41—611no—
445C2×#41—611no—
446#135—1222no—
447#135—1222no—
448#135—1222no—
449#135—1222no—
450C2×Q16—611no—
451C2×Q16—611no—
452C2×SD16—611no—
453C2×SD16—611no—
454C2×SD16—611no—
455C2×SD16C2×#692311yescharacteristic
456C2×D8—611no—
457C2×D8C2×#692311yescharacteristic
458#131—1222no—
459#131—1222no—
460#131—1222no—
461#131—1222no—
462#131—2441no—
463#131—2441no—
464#131—2441no—
465#131—2441no—
466C2×M16—611no—
467C2×M16—611no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16—1221no—
474C22×C8—611no—
475C22×C8—611no—
476C22×C8—611no—
477C22×C8—611no—
478C22×C8—1221no—
479C22×C8—1221no—
480C22×C8—1221no—
481C22×C8—1221no—
482C4⋊Q8—611no—
483#127—611no—
484#124—611no—
485#124C2×#692311yescharacteristic
486#121—1221no—
487#121—1221no—
488C4×Q8—611no—
489C4×Q8—611no—
490C4×D4—611no—
491C4×D4—1221no—
492C4×D4—1221no—
493C4×D4—1221no—
494C4×D4—1221no—
495C4×D4C2×#692311yescharacteristic
496#117—611no—
497#117—1221no—
498C2×C42—611no—
499C2×C42—611no—
500C2×C42—611no—
501C2×C42—1221no—
502#108—1222no—
503#108—1222no—
504C4⋊C8—611no—
505C4⋊C8—611no—
506C4⋊C8—611no—
507C4⋊C8—611no—
508C4⋊C8—611no—
509C4⋊C8—611no—
510C4⋊C8—611no—
511C4⋊C8—1221no—
512C4⋊C8—1221no—
513C4⋊C8—1221no—
514C4⋊C8—1221no—
515C4⋊C8—1221no—
516C4⋊C8—1221no—
517C4⋊C8C2×#692311yescharacteristic
518#104—614no—
519#104—1222no—
520#104—1222no—
521#104—1222no—
522#104—2441no—
523#104—2441no—
524#103—611no—
525#103—611no—
526#103—611no—
527#103C2×#692311yescharacteristic
528#102—611no—
529#102—611no—
530#102—611no—
531#102C2×#692311yescharacteristic
532C22⋊C8—1221no—
533C22⋊C8—1221no—
534C22⋊C8—1221no—
535C22⋊C8—1221no—
536#97—1222no—
537#97—1221no—
538C4×C8—1222no—
539C4×C8—1221no—
540#95—1221no—
541#95—1221no—
542#41—612no—
543#41—612no—
544#41—1221no—
545#41—1221no—
546#41—1221no—
547#41—1221no—
548#41—1221no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41—1221no—
554C2×Q8—611no—
555C2×Q8—611no—
556C2×Q8C22×#692311yescharacteristic
557C2×D4—611no—
558C2×D4—1221no—
559C2×D4—1221no—
560C2×D4—1221no—
561C2×D4—1221no—
562C2×D4—1221no—
563C2×D4C22×#692311yescharacteristic
564C2×D4C22×#692311yescharacteristic
565C22×C4—21no—
566C22×C4—611no—
567C22×C4—611no—
568C22×C4—611no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4—1221no—
574C22×C4—1221no—
575Q16—1222no—
576Q16—1222no—
577SD16—22no—
578SD16—1222no—
579SD16—1222no—
580SD16—1222no—
581D8—22no—
582D8—1222no—
583M16—612no—
584M16—1221no—
585M16—1221no—
586M16—1221no—
587M16—1221no—
588M16—1221no—
589M16—1221no—
590M16—1221no—
591M16—2442no—
592M16—2442no—
593M16—2442no—
594M16—2442no—
595C2×C8—611no—
596C2×C8—611no—
597C2×C8—611no—
598C2×C8—611no—
599C2×C8—611no—
600C2×C8—611no—
601C2×C8—1221no—
602C2×C8—1221no—
603C2×C8—1221no—
604C2×C8—1221no—
605C2×C8—1221no—
606C2×C8—1221no—
607C2×C8—1221no—
608C2×C8—1221no—
609C2×C8—1221no—
610C2×C8—1221no—
611C2×C8—1221no—
612C2×C8—1221no—
613C2×C8—2442no—
614C2×C8—2442no—
615C2×C8—2442no—
616C2×C8—2442no—
617C2×C8C22×#692311yescharacteristic
618C2×C8C22×#692311yescharacteristic
619C4⋊C4—611no—
620C4⋊C4—1221no—
621C4⋊C4—1221no—
622C4⋊C4—1221no—
623C4⋊C4—1221no—
624C4⋊C4C22×#692311yescharacteristic
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—1221no—
629C22⋊C4—1221no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C42—611no—
633C42—611no—
634C42—611no—
635C42—612no—
636C42—1221no—
637C42—1221no—
638C42—1221no—
639C42—1221no—
640C42—1221no—
641C42—1221no—
642C42C22×#692311yescharacteristic
643C23—21no—
644C23—21no—
645C23—611no—
646C23—1221no—
647Q8—21no—
648Q8—21no—
649Q8—612no—
650Q8—1221no—
651Q8—1221no—
652Q8—1221no—
653D4—21no—
654D4—21no—
655D4—21no—
656D4—1222no—
657D4—1222no—
658D4—1221no—
659D4—1221no—
660D4—4881no—
661D4—2441no—
662D4—2441no—
663D4—2442no—
664D4—2441no—
665D4—2441no—
666D4D4×#692312yes—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—42no—
670C2×C4—611no—
671C2×C4—611no—
672C2×C4—611no—
673C2×C4—611no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—611no—
677C2×C4—1222no—
678C2×C4—1222no—
679C2×C4—1221no—
680C2×C4—1222no—
681C2×C4—1221no—
682C2×C4—1221no—
683C2×C4—4881no—
684C2×C4—2441no—
685C2×C4—2441no—
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×C4—2441no—
695C2×C4D4×#692311yescharacteristic
696C2×C4D4×#692311yescharacteristic
697C2×C4C23×#692311yescharacteristic
698C8—21no—
699C8—21no—
700C8—1221no—
701C8—1221no—
702C8—1221no—
703C8—1221no—
704C8—1222no—
705C8—1221no—
706C8—1221no—
707C8—2441no—
708C8—2441no—
709C8—2441no—
710C22—22no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—611no—
717C22—611no—
718C22—1221no—
719C22—1221no—
720C22—2441no—
721C22—2441no—
722C22—2441no—
723C22C2×D4×#692311yescharacteristic
724C4—21no—
725C4—21no—
726C4—41no—
727C4—41no—
728C4—611no—
729C4—611no—
730C4—1221no—
731C4—1221no—
732C4—1222no—
733C4—4881no—
734C4—2442no—
735C4—2441no—
736C4—2441no—
737C4C2×D4×#692311yescharacteristic
738C4#1684083111yescharacteristic
739C2—42no—
740C2—81no—
741C2—1221no—
742C2—1221no—
743C2—4881no—
744C2#2146234411yescharacteristic
745C2#2146259111yescharacteristic
746C2#2146259811yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#463C4
socleC22×C61C2×C4×D4
prime radical#21455271C2
cosocleC2×C4×D61C24
hypercenter#463#6923
hypocenterC61#23017
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C42 ◁ #463

Complements

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

NH ≅ G/Ntype
1. C2×#16840809C2semidirect
2. C2×#16840805C2semidirect
3. #21462564C2semidirect
4. #21462464C2semidirect
5. #21461956C2semidirect
6. #21461934C2semidirect
7. #21461914C2semidirect
8. #21461913C2semidirect
9. #21461810C2semidirect
10. #21461808C2semidirect
11. #21461789C2semidirect
12. #21461788C2semidirect
13. #21461608C2semidirect
14. #21461582C2semidirect
58. #16839985C4semidirect
59. #16839981C4semidirect
60. #16839977C4semidirect
61. #16839971C4semidirect
62. #16839965C4semidirect
63. #16839961C4semidirect
64. #16839955C4semidirect
68. C61×#463C4semidirect
110. #14519841D4semidirect
400. #463#6923semidirect
442. C61#23017semidirect

Maximal subgroups

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

subgroupindex
C2×#168408092
C2×#168408052
#214625642
#214624642
#214619562
#214619342
#214619142
#214619132
#214618102
#214618082
#214617892
#214617882
#214616082
#214615822
#214552712
#2301761