Finite Group Databasebeta

← #34023845

Subgroups — #34023845

Order 18688.

1006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989611C211yesmaximal, characteristic
2C2×#17989611C211yesmaximal, characteristic
3#22626105C211yesmaximal, characteristic, complemented
4#22626104C211yesmaximal, characteristic, complemented
5#22626104C211yesmaximal, characteristic, complemented
6#22626103C211yesmaximal, characteristic, complemented
7#22626102C211yesmaximal, characteristic, complemented
8#22626102C211yesmaximal, characteristic, complemented
9#22626101C211yesmaximal, characteristic, complemented
10#22626100C211yesmaximal, characteristic, complemented
11#22625824C211yesmaximal, characteristic
12#22625824C211yesmaximal, characteristic
13#22625822C211yesmaximal, characteristic
14#22625821C211yesmaximal, characteristic
15C2×#17989139C211yesmaximal, characteristic
16#17989611—24no—
17#17989611—24no—
18C2×#14556658C2211yescharacteristic
19C2×#14556658C2211yescharacteristic
20C2×C4⋊#10596833C2211yescharacteristic
21C2×C4⋊#10596833C2211yescharacteristic
22C2×C22⋊#10596833C2211yescharacteristic
23C2×C22⋊#10596833C2211yescharacteristic
24C2×C22⋊#10596833C2211yescharacteristic
25C2×C22⋊#10596833C2211yescharacteristic
26C2×#14556646C2211yescharacteristic
27C2×#14556646C2211yescharacteristic
28C2×C4×#10596833C2211yescharacteristic
29C2×C4×#10596833C2211yescharacteristic
30#17989453C2211yescharacteristic
31#17989453C2211yescharacteristic
32#17989453C2211yescharacteristic
33#17989453C2211yescharacteristic
34#17989453C2211yescharacteristic
35#17989453C2211yescharacteristic
36#17989453C2211yescharacteristic
37#17989453C2211yescharacteristic
38#17989453C2211yescharacteristic
39#17989453C2211yescharacteristic
40#17989453C2211yescharacteristic
41#17989453C2211yescharacteristic
42#17989453C2211yescharacteristic
43#17989453C2211yescharacteristic
44#17989453C2211yescharacteristic
45#17989453C2211yescharacteristic
46#17989139—24no—
47#17989139—24no—
48C2×#14556590C411yescharacteristic
49C2×#14556589C411yescharacteristic
50C2×#14556581C411yescharacteristic
51C2×#14556581C411yescharacteristic
52C2×#14556570C411yescharacteristic
53C2×#14556568C411yescharacteristic
54C2×#14556568C411yescharacteristic
55C2×Q8×Dic73C2211yescharacteristic
56C2×#14556556C2211yescharacteristic
57C2×#14556556C2211yescharacteristic
58C2×#14556556C2211yescharacteristic
59C2×#14556547C2211yescharacteristic
60C2×#14556547C2211yescharacteristic
61C22×C4×Dic73C2211yescharacteristic
62C2×C22⋊Q8×C73C411yescharacteristic
63C22×#10596833C2311yescharacteristic
64C22×#10596833C2311yescharacteristic
65C22×#10596833C2311yescharacteristic
66C22×#10596833C2311yescharacteristic
67C22×#10596833C2311yescharacteristic
68C22×#10596833C2311yescharacteristic
69C22×#10596833C2311yescharacteristic
70C22×#10596833C2311yescharacteristic
71#14556658—22no—
72#14556658—22no—
73C4⋊#10596833—22no—
74C4⋊#10596833—22no—
75C22⋊#10596833—22no—
76C22⋊#10596833—22no—
77C22⋊#10596833—22no—
78C22⋊#10596833—22no—
79#14556646—22no—
80#14556646—22no—
81C4×#10596833—22no—
82C4×#10596833—22no—
83C22×Dic146C2×C411yescharacteristic
84C22×Dic146C2×C411yescharacteristic
85C22×Dic146C2×C411yescharacteristic
86C23×Dic73C2×C411yescharacteristic
87C23×Dic73C2311yescharacteristic
88#14556590—24no—
89#14556589—24no—
90#14556581—24no—
91#14556581—24no—
92#14556570—24no—
93#14556568—24no—
94#14556568—24no—
95Q8×Dic73—22no—
96Q8×Dic73—22no—
97#14556556—22no—
98#14556556—22no—
99#14556556—22no—
100#14556556—22no—
101#14556556—22no—
102#14556556—22no—
103#14556547—22no—
104#14556547—22no—
105#14556547D414yes—
106#14556547D414yes—
107C2×C4⋊Dic73C2×C411yescharacteristic
108C2×C4⋊Dic73C2×C411yescharacteristic
109C2×C4⋊Dic73C2×C411yescharacteristic
110C2×#11924007C2×C411yescharacteristic
111C2×#11924007C2×C411yescharacteristic
112C2×#11924007C2×C411yescharacteristic
113C2×#11924007C2×C411yescharacteristic
114C2×#11924007C2×C411yescharacteristic
115C2×#11924007C2×C411yescharacteristic
116C2×#11924007C2×C411yescharacteristic
117C2×#11924007C2×C411yescharacteristic
118C2×#11924007C2×C411yescharacteristic
119C2×#11924007C2×C411yescharacteristic
120C2×C22⋊Dic73C2×C411yescharacteristic
121C2×C22⋊Dic73C2×C411yescharacteristic
122C2×C4×Dic73—22no—
123C2×C4×Dic73—22no—
124C2×C4×Dic73C2×C411yescharacteristic
125C2×C4×Dic73C2×C411yescharacteristic
126C2×C4×Dic73C2311yescharacteristic
127C2×C4×Dic73C2311yescharacteristic
128C2×C4×Dic73C2311yescharacteristic
129C2×C4×Dic73C2311yescharacteristic
130C2×C4×Dic73C2311yescharacteristic
131C2×C4×Dic73C2311yescharacteristic
132C22×Q8×C73C2×C411yescharacteristic
133C23×C4×C73C2×C411yescharacteristic
134C22⋊Q8×C73—24no—
135C2×C4⋊C4×C73C2×C411yescharacteristic
136C2×C4⋊C4×C73C2×C411yescharacteristic
137C2×C4⋊C4×C73C2×C411yescharacteristic
138C2×C22⋊C4×C73C2×C411yescharacteristic
139C2×C22⋊C4×C73C2×C411yescharacteristic
140C2×#10596833—21no—
141C2×#10596833—21no—
142C2×#10596833—21no—
143C2×#10596833—21no—
144C2×#10596833—21no—
145C2×#10596833—21no—
146C2×#10596833—21no—
147C2×#10596833—21no—
148C2×#10596833—21no—
149C2×#10596833—21no—
150C2×#10596833—21no—
151C2×#10596833—21no—
152C2×#10596833—21no—
153C2×#10596833—21no—
154C2×#10596833—21no—
155C2×#10596833—21no—
156C2×#10596833—21no—
157C2×#10596833—21no—
158C2×#10596833—21no—
159C2×#10596833—21no—
160C2×#10596833—21no—
161C2×#10596833—21no—
162C2×#10596833—21no—
163C2×#10596833—21no—
164C2×Dic146—22no—
165C2×Dic146—22no—
166C2×Dic146—22no—
167C2×Dic146—22no—
168C2×Dic146—22no—
169C2×Dic146—22no—
170C2×Dic146—41no—
171C2×Dic146—41no—
172C2×Dic146—41no—
173C22×Dic73—21no—
174C22×Dic73—21no—
175C22×Dic73—21no—
176C22×Dic73—21no—
177C22×Dic73—22no—
178C22×Dic73—22no—
179C22×Dic73—41no—
180C22×Dic73C22×C411yescharacteristic
181C22×Dic73C22×C411yescharacteristic
182C22×Dic73C22×C411yescharacteristic
183C22×Dic73C22×C411yescharacteristic
184C22×Dic73C22×C411yescharacteristic
185C22×Dic73C22×C411yescharacteristic
186C22×Dic73C22×C411yescharacteristic
187C22×Dic73C2×D412yes—
188C22×Dic73C2×D412yes—
189C22×Dic73C2411yescharacteristic
190C4⋊Dic73—22no—
191C4⋊Dic73—22no—
192C4⋊Dic73—22no—
193#11924007—22no—
194#11924007—22no—
195#11924007—22no—
196#11924007—22no—
197#11924007—22no—
198#11924007—22no—
199#11924007—22no—
200#11924007—22no—
201#11924007C22⋊C414yes—
202#11924007C22⋊C414yes—
203C22⋊Dic73—22no—
204C22⋊Dic73C22⋊C414yes—
205C4×Dic73—22no—
206C4×Dic73—22no—
207C4×Dic73—21no—
208C4×Dic73—21no—
209C4×Dic73—21no—
210C4×Dic73—21no—
211C4×Dic73—21no—
212C4×Dic73—21no—
213C4×Dic73—21no—
214C4×Dic73—21no—
215C4×Dic73C2×D412yes—
216C4×Dic73C2×D412yes—
217C4×Dic73C2×D412yes—
218C4×Dic73C2×D412yes—
219C24×C73C22×C411yescharacteristic
220C2×Q8×C73—22no—
221C2×Q8×C73—22no—
222C2×Q8×C73—41no—
223C22×C4×C73—22no—
224C22×C4×C73—22no—
225C22×C4×C73—41no—
226C22×C4×C73C22×C411yescharacteristic
227C22×C4×C73C22×C411yescharacteristic
228C22×C4×C73C22×C411yescharacteristic
229C22×C4×C73C22×C411yescharacteristic
230C22×C4×C73C22×C411yescharacteristic
231C22×C4×C73C22×C411yescharacteristic
232C4⋊C4×C73—22no—
233C4⋊C4×C73—22no—
234C4⋊C4×C73—22no—
235C22⋊C4×C73—22no—
236C22⋊C4×C73C22⋊C414yes—
237C23×C73—21no—
238C23×C73—21no—
239C23×C73—21no—
240C23×C73—21no—
241C23×C73—21no—
242C23×C73—21no—
243C23×C73C2×C22⋊C412yes—
244C23×C73C23×C411yescharacteristic
245Q8×C73—44no—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
258C2×C4×C73—21no—
259C2×C4×C73—21no—
260C2×C4×C73—21no—
261C2×C4×C73—44no—
262C2×C4×C73C2×C22⋊C412yes—
263C2×C4×C73C2×C22⋊C412yes—
264C2×C4×C73#13112yes—
265C2×Dic73—21no—
266C2×Dic73—21no—
267C2×Dic73—21no—
268C2×Dic73—21no—
269C2×Dic73—21no—
270C2×Dic73—21no—
271C2×Dic73—21no—
272C2×Dic73—21no—
273C2×Dic73—22no—
274C2×Dic73—22no—
275C2×Dic73—22no—
276C2×Dic73—22no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—21no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73—21no—
285C2×Dic73—21no—
286C2×Dic73—44no—
287C2×Dic73C2×C22⋊C412yes—
288C2×Dic73C2×C22⋊C412yes—
289C2×Dic73C2×C22⋊C412yes—
290C2×Dic73#13112yes—
291C2×Dic73C22×D411yescharacteristic
292C2×Dic73C22×D411yescharacteristic
293C2×Dic732−1+411yescharacteristic
294C2×Dic732−1+411yescharacteristic
295C2×Dic732−1+411yescharacteristic
296C2×Dic732−1+411yescharacteristic
297Dic146—44no—
298Dic146—44no—
299Dic146—44no—
300#10596833—41no—
301#10596833—41no—
302#10596833—41no—
303#10596833—41no—
304#10596833—41no—
305#10596833—41no—
306#10596833—41no—
307#10596833—41no—
308C22×C73—22no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—41no—
312C22×C73—41no—
313C22×C73—41no—
314C22×C73—41no—
315C22×C73C22×C22⋊C411yescharacteristic
316C22×C73#51911yescharacteristic
317C22×C73#51911yescharacteristic
318C22×C73C2×#13111yescharacteristic
319C22×C73C2×#13111yescharacteristic
320C22×C73#56811yescharacteristic
321C22×C73#56811yescharacteristic
322C4×C73—22no—
323C4×C73—22no—
324C4×C73—22no—
325C4×C73—41no—
326C4×C73—41no—
327C4×C73—41no—
328Dic73—22no—
329Dic73—22no—
330Dic73—22no—
331Dic73—22no—
332Dic73—41no—
333Dic73—41no—
334Dic73—41no—
335Dic73#53611yescharacteristic
336Dic73#53611yescharacteristic
337Dic73#53611yescharacteristic
338Dic73#53611yescharacteristic
339#21824—731nomaximal, Sylow
340C2×C73—42no—
341C2×C73#231011yescharacteristic
342C2×C73#288011yescharacteristic
343C2×C73#288011yescharacteristic
344C2×C73#298511yescharacteristic
345C2×C73#298511yescharacteristic
346C2×C73#298611yescharacteristic
347C2×C73#298711yescharacteristic
348C2×#533—731no—
349C2×#433—731no—
350C2×#433—731no—
351#1985—731no—
352#1985—731no—
353#1985—731no—
354#1985—731no—
355#1984—731no—
356#1984—731no—
357#1984—731no—
358#1984—731no—
359#1818—731no—
360#1818—731no—
361#1817—731no—
362#1817—731no—
363C73#2182411yescharacteristic, complemented, Sylow
364#533—1464no—
365#533—1464no—
366C2×C4⋊Q8—731no—
367C2×C4⋊Q8—731no—
368C2×#125—731no—
369C2×#125—731no—
370C2×C22⋊Q8—731no—
371C2×C22⋊Q8—731no—
372C2×C22⋊Q8—731no—
373C2×C22⋊Q8#6440811yescharacteristic
374C2×C4×Q8—731no—
375C2×C4×Q8—731no—
376C2×C4×Q8—731no—
377C2×C4×Q8—731no—
378C2×#117—731no—
379C2×#117—731no—
380C22×C42—731no—
381#433—1464no—
382#433—1464no—
383C2×C4⋊C8—731no—
384C2×C4⋊C8—731no—
385C2×C4⋊C8—731no—
386C2×C4⋊C8—731no—
387C2×C22⋊C8—731no—
388C2×C22⋊C8—731no—
389C2×C22⋊C8—731no—
390C2×C22⋊C8—731no—
391C2×#97—731no—
392C2×#97—731no—
393C2×C4×C8—731no—
394C2×C4×C8—731no—
395#336—731no—
396#336—731no—
397#336—731no—
398#336—731no—
399#336—731no—
400#336—731no—
401#336—731no—
402#336—731no—
403#336—731no—
404#336—731no—
405#336—731no—
406#336—731no—
407#336—731no—
408#336—731no—
409#336—731no—
410#336—731no—
411C22×Q8—731no—
412C22×Q8—731no—
413C22×Q8—731no—
414C22×Q8C2×#6440811yescharacteristic
415C23×C4—731no—
416C23×C4—731no—
417C23×C4C2×#6440811yescharacteristic
418C22×C8—731no—
419C22×C8—731no—
420C22×C8—731no—
421C22×C8—731no—
422C22×C8—731no—
423C22×C8—731no—
424C22×C8—731no—
425C22×C8—731no—
426C4⋊Q8—1464no—
427C4⋊Q8—1464no—
428#125—1464no—
429#125—1464no—
430C22⋊Q8—24no—
431C22⋊Q8—1464no—
432C22⋊Q8—1464no—
433C22⋊Q8—1464no—
434C4×Q8—1462no—
435C4×Q8—1462no—
436C4×Q8—1462no—
437C4×Q8—1462no—
438C4×Q8—1462no—
439C4×Q8—1462no—
440C4×Q8—1462no—
441C4×Q8—1462no—
442#117—734no—
443#117—734no—
444#117—1462no—
445#117—1462no—
446C2×C4⋊C4—731no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—731no—
449C2×C4⋊C4—731no—
450C2×C4⋊C4—731no—
451C2×C4⋊C4—731no—
452C2×C4⋊C4—731no—
453C2×C4⋊C4—731no—
454C2×C4⋊C4—731no—
455C2×C4⋊C4—731no—
456C2×C4⋊C4—731no—
457C2×C4⋊C4—731no—
458C2×C4⋊C4—731no—
459C2×C4⋊C4C2×#6440811yescharacteristic
460C2×C4⋊C4C2×#6440811yescharacteristic
461C2×C4⋊C4C2×#6440811yescharacteristic
462C2×C22⋊C4—731no—
463C2×C22⋊C4—731no—
464C2×C22⋊C4C2×#6440811yescharacteristic
465C2×C22⋊C4C2×#6440811yescharacteristic
466C2×C42—731no—
467C2×C42—731no—
468C2×C42—731no—
469C2×C42—731no—
470C2×C42—731no—
471C2×C42—731no—
472C2×C42—731no—
473C2×C42—731no—
474C2×C42—1462no—
475C2×C42—1462no—
476C4⋊C8—1462no—
477C4⋊C8—1462no—
478C4⋊C8—1462no—
479C4⋊C8—1462no—
480C22⋊C8—1462no—
481C22⋊C8—1462no—
482C22⋊C8—1462no—
483C22⋊C8—1462no—
484#97—1462no—
485#97—1462no—
486C4×C8—1462no—
487C4×C8—1462no—
488C24C22×#6440811yescharacteristic
489C2×Q8—22no—
490C2×Q8—22no—
491C2×Q8—41no—
492C2×Q8—2921no—
493C2×Q8—2921no—
494C2×Q8—2921no—
495C2×Q8—1462no—
496C2×Q8—1462no—
497C2×Q8—1462no—
498C2×Q8—1462no—
499C2×Q8—1462no—
500C2×Q8—1462no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—41no—
504C22×C4—2921no—
505C22×C4—731no—
506C22×C4—731no—
507C22×C4—731no—
508C22×C4—731no—
509C22×C4—731no—
510C22×C4—732no—
511C22×C4—732no—
512C22×C4—731no—
513C22×C4—731no—
514C22×C4—731no—
515C22×C4—1462no—
516C22×C4—1462no—
517C22×C4—1461no—
518C22×C4—1461no—
519C22×C4—1461no—
520C22×C4—1461no—
521C22×C4C22×#6440811yescharacteristic
522C22×C4C22×#6440811yescharacteristic
523C22×C4C22×#6440811yescharacteristic
524C22×C4C22×#6440811yescharacteristic
525C22×C4C22×#6440811yescharacteristic
526C22×C4C22×#6440811yescharacteristic
527C2×C8—1461no—
528C2×C8—1461no—
529C2×C8—1461no—
530C2×C8—1461no—
531C2×C8—1461no—
532C2×C8—1461no—
533C2×C8—1461no—
534C2×C8—1461no—
535C2×C8—1461no—
536C2×C8—1461no—
537C2×C8—1461no—
538C2×C8—1461no—
539C2×C8—1461no—
540C2×C8—1461no—
541C2×C8—1461no—
542C2×C8—1461no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8—1461no—
546C2×C8—1461no—
547C2×C8—1461no—
548C2×C8—1461no—
549C2×C8—1461no—
550C2×C8—1461no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—734no—
555C4⋊C4—734no—
556C4⋊C4—1462no—
557C4⋊C4—1462no—
558C4⋊C4—1462no—
559C4⋊C4—1462no—
560C4⋊C4—1462no—
561C4⋊C4—1462no—
562C4⋊C4—1462no—
563C4⋊C4—1462no—
564C4⋊C4—1462no—
565C4⋊C4—1462no—
566C4⋊C4—1462no—
567C22⋊C4—22no—
568C22⋊C4—734no—
569C22⋊C4—1462no—
570C22⋊C4C22⋊#6440814yes—
571C42—732no—
572C42—732no—
573C42—732no—
574C42—732no—
575C42—1461no—
576C42—1461no—
577C42—1461no—
578C42—1461no—
579C42—1462no—
580C42—1462no—
581C42—1461no—
582C42—1461no—
583C42—1461no—
584C42—1461no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23C2×C22⋊#6440812yes—
592C23C23×#6440811yescharacteristic
593Q8—44no—
594Q8—2924no—
595Q8—2924no—
596Q8—2924no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—44no—
613C2×C4—2924no—
614C2×C4—731no—
615C2×C4—731no—
616C2×C4—731no—
617C2×C4—731no—
618C2×C4—731no—
619C2×C4—731no—
620C2×C4—732no—
621C2×C4—732no—
622C2×C4—732no—
623C2×C4—732no—
624C2×C4—1461no—
625C2×C4—1461no—
626C2×C4—1461no—
627C2×C4—1461no—
628C2×C4—1461no—
629C2×C4—1461no—
630C2×C4—1461no—
631C2×C4—1461no—
632C2×C4—1461no—
633C2×C4—1462no—
634C2×C4—1462no—
635C2×C4—1462no—
636C2×C4—1462no—
637C2×C4—1461no—
638C2×C4—1461no—
639C2×C4—1461no—
640C2×C4—1461no—
641C2×C4—1461no—
642C2×C4—1461no—
643C2×C4—1461no—
644C2×C4—1461no—
645C2×C4C2×C22⋊#6440812yes—
646C2×C4C2×C22⋊#6440812yes—
647C2×C4#1455667812yes—
648C8—2921no—
649C8—2921no—
650C8—2921no—
651C8—2921no—
652C8—2921no—
653C8—2921no—
654C8—2921no—
655C8—2921no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—41no—
660C22—41no—
661C22—41no—
662C22—41no—
663C22C22×C22⋊#6440811yescharacteristic
664C22#1798965511yescharacteristic
665C22#1798965511yescharacteristic
666C22C2×#1455667811yescharacteristic
667C22D73⋊#13111yescharacteristic
668C22#1798966511yescharacteristic
669C22#1798966611yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4—2921no—
677C4—2921no—
678C4—2921no—
679C4—731no—
680C4—731no—
681C4—731no—
682C4—731no—
683C4—1462no—
684C4—1462no—
685C4—1462no—
686C4—1462no—
687C2—42no—
688C2#2262640511yescharacteristic
689C2#2262651911yescharacteristic
690C2#2262652111yescharacteristic
691C2#2262683511yescharacteristic
692C2#2262683711yescharacteristic
693C2#2262684011yescharacteristic
694C2#2262684311yescharacteristic
subgroupG/H
center, FrattiniC23C23×#64408
commutator, socleC23×C73C23×C4
FittingC2×C22⋊Q8×C73C4
prime radicalC24×C73C22×C4
cosocleC22×Dic73C24
hypercenterC2×C22⋊Q8#64408
hypocenterC73#21824
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C22⋊Q8

Complements

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

NH ≅ G/Ntype
3. #22626105C2semidirect
4. #22626104C2semidirect
5. #22626104C2semidirect
6. #22626103C2semidirect
7. #22626102C2semidirect
8. #22626102C2semidirect
9. #22626101C2semidirect
10. #22626100C2semidirect
363. C73#21824semidirect

Maximal subgroups

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

subgroupindex
C2×#179896112
#226261052
#226261042
#226261032
#226261022
#226261012
#226261002
#226258242
#226258222
#226258212
C2×#179891392
#2182473