Finite Group Databasebeta

← #25110466

Subgroups — #25110466

Order 11008.

986 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
1C2×#14583287C211yesmaximal, characteristic
2#19137317C211yesmaximal, characteristic, complemented
3#19137305C211yesmaximal, characteristic, complemented
4#19135405C211yesmaximal, characteristic, complemented
5#19135399C211yesmaximal, characteristic, complemented
6#19134951C211yesmaximal, characteristic, complemented
7#19134947C211yesmaximal, characteristic, complemented
8#19134946C211yesmaximal, characteristic, complemented
9#19134945C211yesmaximal, characteristic, complemented
10#19134941C211yesmaximal, characteristic, complemented
11#19134929C211yesmaximal, characteristic, complemented
12#19134928C211yesmaximal, characteristic, complemented
13#19134727C211yesmaximal, characteristic, complemented
14#19134345C211yesmaximal, characteristic, complemented
15C43×#1879C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C22×#10621883C2211yescharacteristic
18C22×#10621882C2211yescharacteristic
19C2×#13063321C2211yescharacteristic
20C2×#13063312C2211yescharacteristic
21C2×#13063290C2211yescharacteristic
22C2×C4×D172C2211yescharacteristic
23C2×D4×Dic43C2211yescharacteristic
24#14583287C418yescomplemented
25C2×#13063250C2211yescharacteristic
26C2×#13063248C2211yescharacteristic
27C2×#13063247C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×#13063245C2211yescharacteristic
31C2×#13063235C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582805C2211yescharacteristic
34#14582802C2211yescharacteristic
35#14582800C2211yescharacteristic
36#14582793—21no—
37#14582793—21no—
38#14582778—21no—
39#14582778—21no—
40#14582775—21no—
41#14582775—21no—
42#14582771—21no—
43#14582771—21no—
44#14582768C2211yescharacteristic
45#14582764C2211yescharacteristic
46#14582745C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582654C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C22×D8×C43C2211yescharacteristic
54C2×C4×D4×C43C2211yescharacteristic
55C2×#102×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C43×#390C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C22×Dic86C2311yescharacteristic
61C22×D172C2311yescharacteristic
62C22×C22⋊D43—21no—
63C22×C22⋊D43—21no—
64C23×Dic43—21no—
65C22×C4×D43—21no—
66C2×#10621873—41no—
67C2×#10621873—41no—
68C2×#10621873C2×C414yescomplemented
69C2×#10621883—41no—
70C2×#10621883—41no—
71C2×#10621883C2×C414yescomplemented
72C2×#10621882—41no—
73C2×#10621882—41no—
74C2×#10621882C2×C414yescomplemented
75C22×C43⋊C8C2311yescharacteristic
76C22×C43⋊C8C2311yescharacteristic
77#13063321—22no—
78#13063321C2×C414yescomplemented
79#13063312—22no—
80#13063312C2×C414yescomplemented
81#13063290—41no—
82#13063290—41no—
83C4×D172—41no—
84C4×D172—41no—
85D4×Dic43—41no—
86D4×Dic43—41no—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×Dic43⋊C4—21no—
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×C22⋊Dic43—21no—
93C2×C22⋊Dic43—21no—
94C2×C22⋊Dic43—21no—
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×C4×Dic43—21no—
101C2×C4×Dic43C2311yescharacteristic
102C2×C4×Dic43C2311yescharacteristic
103#13063250—41no—
104#13063248—41no—
105#13063247—41no—
106#13063246—41no—
107#13063246—41no—
108#13063245—41no—
109#13063235C2×C414yescomplemented
110C8×Dic43—22no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95D411yescharacteristic
116C43⋊#95D411yescharacteristic
117C43⋊#95D411yescharacteristic
118C43⋊#95D411yescharacteristic
119C22×D4×C43C2311yescharacteristic
120C22×D4×C43C2311yescharacteristic
121C23×C4×C43—21no—
122C2×D8×C43—41no—
123C2×D8×C43—41no—
124C2×D8×C43C2×C414yescomplemented
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C4×D4×C43—41no—
128C4×D4×C43—41no—
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C22⋊C4×C43—21no—
133C2×C22⋊C4×C43—21no—
134C2×C42×C43C2311yescharacteristic
135#102×C43—41no—
136#102×C43—41no—
137C24×C43—21no—
138C24×C43—21no—
139C23×D43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43C22×C412yes—
151C2×D4×C43C22×C412yes—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—42no—
155C22×C4×C43—81no—
156C22×C4×C43—81no—
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2411yescharacteristic
160C2×C22⋊D43—24no—
161C2×C22⋊D43—24no—
162C2×C22⋊D43—81no—
163C2×C22⋊D43—81no—
164C2×C22⋊D43—81no—
165C2×C22⋊D43—81no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—42no—
170C22×Dic43—81no—
171C22×Dic43—81no—
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176C2×D172—21no—
177C2×D172—21no—
178C2×D172—21no—
179C2×D172—21no—
180C2×D172—21no—
181C2×D172C22×C412yes—
182C2×C4×D43—42no—
183C2×C4×D43—81no—
184C2×C4×D43—81no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86C22×C412yes—
191D8×C43—44no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43C22×C412yes—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C22⋊C4×C43—42no—
203C22⋊C4×C43—81no—
204C22⋊C4×C43—81no—
205C42×C43—21no—
206C42×C43—21no—
207C22⋊Dic43—24no—
208C22⋊Dic43—24no—
209C22⋊Dic43—42no—
210C22⋊Dic43—81no—
211C22⋊Dic43—81no—
212#10621883—44no—
213#10621882—44no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—81no—
216(C2×D43)⋊C4—81no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221Dic43⋊C4—42no—
222Dic43⋊C4—81no—
223Dic43⋊C4—81no—
224C4×Dic43—21no—
225C4×Dic43—21no—
226C4×Dic43—42no—
227C4×Dic43C22×C412yes—
228C4×Dic43#4112yes—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8C22×C412yes—
235#10621873—44no—
236C23×C43—22no—
237C23×C43—22no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43C22×D411yescharacteristic
251C22×D43—22no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43—41no—
257C22×D43—41no—
258D4×C43—22no—
259D4×C43—22no—
260D4×C43—22no—
261D4×C43—22no—
262D4×C43—41no—
263D4×C43—41no—
264D4×C43—41no—
265D4×C43—41no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—84no—
279C2×C4×C43C23×C411yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43H(5,𝔽2)11yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C2×C4×C43H(5,𝔽2)11yescharacteristic
284C2×C4×C43H(5,𝔽2)11yescharacteristic
285C22⋊D43—84no—
286C22⋊D43—84no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—22no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—84no—
307C2×Dic43C4×D412yes—
308C2×Dic43C4×D412yes—
309D172—22no—
310D172—22no—
311D172—41no—
312D172—41no—
313C4×D43—84no—
314Dic86—22no—
315Dic86—22no—
316Dic86—41no—
317Dic86—41no—
318C8×C43—22no—
319C8×C43—41no—
320C43⋊C8—22no—
321C43⋊C8—41no—
322#22279—431nomaximal, Sylow
323C22×C43—42no—
324C22×C43—42no—
325C22×C43—42no—
326C22×C43—42no—
327C22×C43—42no—
328C22×C43—42no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43—81no—
333C22×C43—81no—
334C22×C43—81no—
335C22×C43—81no—
336C22×C43—81no—
337C22×C43C2×C4×D411yescharacteristic
338C22×C43#53511yescharacteristic
339C22×C43#53511yescharacteristic
340C22×C43#57611yescharacteristic
341C22×C43#57611yescharacteristic
342C22×C43#57711yescharacteristic
343C22×C43#57711yescharacteristic
344C2×D43—42no—
345C2×D43—42no—
346C2×D43—42no—
347C2×D43—81no—
348C2×D43—81no—
349C2×D43—81no—
350C2×D43—81no—
351C4×C43—41no—
352C4×C43—41no—
353C4×C43—81no—
354C4×C43—81no—
355C4×C43#51811yescharacteristic
356C4×C43#51811yescharacteristic
357C4×C43#54011yescharacteristic
358C4×C43#54011yescharacteristic
359Dic43—22no—
360Dic43—22no—
361Dic43—42no—
362Dic43—41no—
363Dic43—41no—
364Dic43—81no—
365Dic43—81no—
366C2×#496—431no—
367#2328—431no—
368#2326—431no—
369#1958—431no—
370#1957—431no—
371#1880—431no—
372#1880—431no—
373#1879—431no—
374#1879—431no—
375#1879—431no—
376#1879D4311yescharacteristic, complemented
377#1877—431no—
378#1877—431no—
379#1836—431no—
380#1746—431no—
381C2×C43—82no—
382C2×C43—82no—
383C2×C43#232811yescharacteristic
384C2×C43#294611yescharacteristic
385C2×C43#294611yescharacteristic
386C2×C43#322011yescharacteristic
387C2×C43#322111yescharacteristic
388C2×C43#322411yescharacteristic
389C2×C43#322411yescharacteristic
390D43—82no—
391C22×SD16—431no—
392C22×SD16—431no—
393C22×D8—431no—
394C22×D8C2×D4311yescharacteristic
395C2×#127—431no—
396C2×#124—431no—
397C2×C4×Q8—431no—
398C2×C4×D4—431no—
399C2×C4×D4—431no—
400C2×C4×D4C2×D4311yescharacteristic
401#496—438no—
402C2×#103—431no—
403C2×#103—431no—
404C2×#102—431no—
405C2×#102—431no—
406C2×#102—431no—
407C2×#102—431no—
408C2×#102C2×D4311yescharacteristic
409C2×#102C2×D4311yescharacteristic
410C2×#97—431no—
411C2×C4×C8—431no—
412#391—431no—
413#390—431no—
414#390—431no—
415#390C2×D4311yescharacteristic
416#388—861no—
417#388—861no—
418#386—861no—
419#386—861no—
420#386—861no—
421#386—861no—
422#385—861no—
423#385—861no—
424#384—431no—
425#382—431no—
426#376—431no—
427#340—431no—
428#340—431no—
429#340—431no—
430#340C2×D4311yescharacteristic
431#336—431no—
432#336—431no—
433#336—431no—
434#336C2×D4311yescharacteristic
435C43#2227911yescharacteristic, complemented, Sylow
436C22×Q8—431no—
437C22×D4—431no—
438C22×D4—861no—
439C22×D4—861no—
440C22×D4C22×D4311yescharacteristic
441C22×D4C22×D4311yescharacteristic
442C23×C4—21no—
443C23×C4—861no—
444C23×C4—861no—
445C2×SD16—434no—
446C2×SD16—434no—
447C2×SD16—1721no—
448C2×SD16—1721no—
449C2×SD16—1721no—
450C2×SD16—1721no—
451C2×D8—41no—
452C2×D8—41no—
453C2×D8—434no—
454C2×D8—1721no—
455C2×D8—1721no—
456C2×D8C4×D4314yescomplemented
457C22×C8—431no—
458C22×C8—431no—
459C22×C8C22×D4311yescharacteristic
460C22×C8C22×D4311yescharacteristic
461#127—434no—
462#127—862no—
463#124—434no—
464#124—862no—
465C4×Q8—1721no—
466C4×Q8—1721no—
467C4×D4—41no—
468C4×D4—41no—
469C4×D4—1721no—
470C4×D4—1721no—
471C4×D4—1721no—
472C4×D4—1721no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—431no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4C22×D4311yescharacteristic
479C2×C4⋊C4C22×D4311yescharacteristic
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—861no—
484C2×C22⋊C4—861no—
485C2×C22⋊C4—861no—
486C2×C22⋊C4—861no—
487C2×C22⋊C4—861no—
488C2×C22⋊C4—861no—
489C2×C22⋊C4—861no—
490C2×C22⋊C4—861no—
491C2×C42—431no—
492C2×C42—431no—
493C2×C42—861no—
494C2×C42C22×D4311yescharacteristic
495#103—1721no—
496#103—1721no—
497#102—41no—
498#102—41no—
499#102—1721no—
500#102—1721no—
501#102—1721no—
502#102—1721no—
503#97—434no—
504C4×C8—862no—
505#95—431no—
506#95—431no—
507#95—431no—
508#95—431no—
509#95—861no—
510#95—861no—
511#95—861no—
512#95—861no—
513C24—21no—
514C24—21no—
515C24—861no—
516C2×Q8—432no—
517C2×Q8—861no—
518C2×Q8—861no—
519C2×Q8—861no—
520C2×Q8—861no—
521C2×Q8—861no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—432no—
533C2×D4—864no—
534C2×D4—864no—
535C2×D4—861no—
536C2×D4—861no—
537C2×D4—861no—
538C2×D4—861no—
539C2×D4—861no—
540C2×D4—3441no—
541C2×D4—3441no—
542C2×D4—3441no—
543C2×D4—3441no—
544C2×D4C2×C4×D4312yes—
545C2×D4C2×C4×D4312yes—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—42no—
549C22×C4—81no—
550C22×C4—81no—
551C22×C4—431no—
552C22×C4—431no—
553C22×C4—431no—
554C22×C4—431no—
555C22×C4—861no—
556C22×C4—861no—
557C22×C4—861no—
558C22×C4—3441no—
559C22×C4—3441no—
560C22×C4—3441no—
561C22×C4—3441no—
562C22×C4—1722no—
563C22×C4—1722no—
564C22×C4D4×D4311yescharacteristic
565C22×C4D4×D4311yescharacteristic
566C22×C4C23×D4311yescharacteristic
567SD16—1724no—
568SD16—1724no—
569D8—44no—
570D8—1724no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—432no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8—861no—
580C2×C8—861no—
581C2×C8—861no—
582C2×C8C2×C4×D4312yes—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—861no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—3441no—
592C4⋊C4—3441no—
593C4⋊C4—1722no—
594C22⋊C4—42no—
595C22⋊C4—81no—
596C22⋊C4—81no—
597C22⋊C4—864no—
598C22⋊C4—864no—
599C22⋊C4—3441no—
600C22⋊C4—3441no—
601C22⋊C4—3441no—
602C22⋊C4—3441no—
603C22⋊C4—1722no—
604C22⋊C4—1722no—
605C42—21no—
606C42—21no—
607C42—432no—
608C42—432no—
609C42—861no—
610C42—861no—
611C42—1722no—
612C23—22no—
613C23—22no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—862no—
627C23—1721no—
628C23—1721no—
629C23—1721no—
630C23—1721no—
631C23—1721no—
632C23—1721no—
633C23C2×D4×D4311yescharacteristic
634Q8—862no—
635Q8—862no—
636Q8—1721no—
637Q8—1721no—
638D4—22no—
639D4—22no—
640D4—22no—
641D4—22no—
642D4—41no—
643D4—41no—
644D4—41no—
645D4—41no—
646D4—862no—
647D4—862no—
648D4—3444no—
649D4—3444no—
650D4—1721no—
651D4—1721no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—84no—
665C2×C4—432no—
666C2×C4—432no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—862no—
672C2×C4—861no—
673C2×C4—861no—
674C2×C4—861no—
675C2×C4—861no—
676C2×C4—861no—
677C2×C4—861no—
678C2×C4—3444no—
679C2×C4—3444no—
680C2×C4—1721no—
681C2×C4—1721no—
682C2×C4—1721no—
683C2×C4—1721no—
684C2×C4—1721no—
685C2×C4—1721no—
686C2×C4—1721no—
687C2×C4—1721no—
688C2×C4C22×C4×D4311yescharacteristic
689C2×C4#41×D4311yescharacteristic
690C2×C4#1306337011yescharacteristic
691C2×C4#1306337011yescharacteristic
692C2×C4#1306337011yescharacteristic
693C2×C4#1306337111yescharacteristic
694C8—22no—
695C8—41no—
696C8—862no—
697C8—1721no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22—81no—
712C22—3441no—
713C22—3441no—
714C22—3441no—
715C22—3441no—
716C22—1722no—
717C22—1722no—
718C22—1722no—
719C22C4×D4×D4311yescharacteristic
720C22#1458346411yescharacteristic
721C22#1458346511yescharacteristic
722C22#1458370011yescharacteristic
723C22#1458370311yescharacteristic
724C22#1458370611yescharacteristic
725C22#1458370911yescharacteristic
726C4—41no—
727C4—41no—
728C4—81no—
729C4—81no—
730C4—862no—
731C4—862no—
732C4—3441no—
733C4—3441no—
734C4—1722no—
735C4—1721no—
736C4—1721no—
737C4#1458337111yescharacteristic
738C4#1458337211yescharacteristic
739C4#1458349911yescharacteristic
740C4#1458350111yescharacteristic
741C2—82no—
742C2—82no—
743C2—3442no—
744C2#1913731611yescharacteristic
745C2#1914342011yescharacteristic
746C2#1914342411yescharacteristic
747C2#1914564411yescharacteristic
748C2#1914565311yescharacteristic
749C2#1914568511yescharacteristic
750C2#1914568711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1879C2
socleC23×C43C22×D4
prime radicalC2×#14583287C2
cosocleC22×C4×C43C24
hypercenter#1879D43
hypocenterC43#22279
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1879

Complements

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

NH ≅ G/Ntype
2. #19137317C2semidirect
3. #19137305C2semidirect
4. #19135405C2semidirect
5. #19135399C2semidirect
6. #19134951C2semidirect
7. #19134947C2semidirect
8. #19134946C2semidirect
9. #19134945C2semidirect
10. #19134941C2semidirect
11. #19134929C2semidirect
12. #19134928C2semidirect
13. #19134727C2semidirect
14. #19134345C2semidirect
15. C43×#1879C2semidirect
24. #14583287C4semidirect
68. C2×#10621873C2×C4semidirect
71. C2×#10621883C2×C4semidirect
74. C2×#10621882C2×C4semidirect
78. #13063321C2×C4semidirect
80. #13063312C2×C4semidirect
109. #13063235C2×C4semidirect
124. C2×D8×C43C2×C4semidirect
376. #1879D43semidirect
435. C43#22279semidirect
456. C2×D8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145832872
#191373172
#191373052
#191354052
#191353992
#191349512
#191349472
#191349462
#191349452
#191349412
#191349292
#191349282
#191347272
#191343452
C43×#18792
#2227943