Finite Group Databasebeta

← #25140363

Subgroups — #25140363

Order 11008.

1042 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×D8×Dic43C211yesmaximal, characteristic, complemented
2#19138083C211yesmaximal, characteristic, complemented
3#19137425C211yesmaximal, characteristic, complemented
4#19136141C211yesmaximal, characteristic, complemented
5#19136018C211yesmaximal, characteristic, complemented
6#19135908C211yesmaximal, characteristic, complemented
7#19135781C211yesmaximal, characteristic, complemented
8#19135268C211yesmaximal, characteristic, complemented
9#19135198C211yesmaximal, characteristic, complemented
10#19134945C211yesmaximal, characteristic, complemented
11#19134931C211yesmaximal, characteristic, complemented
12#19134854C211yesmaximal, characteristic, complemented
13#19134603C211yesmaximal, characteristic, complemented
14#19134535C211yesmaximal, characteristic, complemented
15C2×C43×#449C211yesmaximal, characteristic
16C2×D4×Dic43C2211yescharacteristic
17C2×D4×Dic43C2211yescharacteristic
18C2×D4×Dic43C2211yescharacteristic
19D8×Dic43—24no—
20C2×#13063259C2211yescharacteristic
21C2×#13063256C2211yescharacteristic
22C2×Dic43⋊C8C2211yescharacteristic
23C2×#13063249C2211yescharacteristic
24C2×#13063249C2211yescharacteristic
25C2×#13063246C2211yescharacteristic
26C2×#13063246C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×C22⋊(C43⋊C8)C2211yescharacteristic
30C2×C8×Dic43C2211yescharacteristic
31#14582827—21no—
32#14582813—21no—
33#14582806C2211yescharacteristic
34#14582806C2211yescharacteristic
35#14582802C2211yescharacteristic
36#14582795C2211yescharacteristic
37#14582779—21no—
38#14582779—21no—
39#14582779—21no—
40#14582764C2211yescharacteristic
41#14582762—21no—
42#14582760—21no—
43#14582759C2211yescharacteristic
44#14582759C2211yescharacteristic
45C4×C22⋊Dic43C2211yescharacteristic
46C2×C43⋊#95—21no—
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C22×#41×C43C2211yescharacteristic
54C22×SD16×C43C2211yescharacteristic
55C22×D8×C43C2211yescharacteristic
56C2×#121×C43C2211yescharacteristic
57C43×#449—24no—
58C2×#103×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×C22⋊C8×C43C2211yescharacteristic
61C23×Dic43—21no—
62C23×Dic43—21no—
63C23×Dic43—21no—
64C22×C43⋊C8C2311yescharacteristic
65C22×C43⋊C8C2311yescharacteristic
66D4×Dic43—22no—
67D4×Dic43—22no—
68D4×Dic43—22no—
69D4×Dic43—41no—
70D4×Dic43—41no—
71D4×Dic43—41no—
72C2×C4⋊Dic43C2311yescharacteristic
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×Dic43⋊C4—21no—
77C2×C22⋊Dic43—21no—
78C2×C22⋊Dic43—21no—
79C2×C22⋊Dic43—21no—
80C2×C22⋊Dic43—21no—
81C2×C22⋊Dic43—21no—
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43D411yescharacteristic
85C2×C22⋊Dic43D411yescharacteristic
86C2×C4×Dic43C2311yescharacteristic
87C2×C4×Dic43C2311yescharacteristic
88#13063259—22no—
89#13063256—41no—
90Dic43⋊C8—41no—
91#13063249—22no—
92#13063249—41no—
93#13063246—22no—
94#13063246—22no—
95#13063246—22no—
96#13063246—41no—
97C22⋊(C43⋊C8)—41no—
98C8×Dic43—22no—
99C43⋊#95—21no—
100C43⋊#95—21no—
101C43⋊#95—21no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95D411yescharacteristic
109C43⋊#95D411yescharacteristic
110C2×#41×C43—22no—
111C2×#41×C43—22no—
112C2×#41×C43—22no—
113C2×#41×C43—22no—
114C2×#41×C43—41no—
115C2×#41×C43—41no—
116C22×Q8×C43C2311yescharacteristic
117C22×D4×C43—21no—
118C22×D4×C43—21no—
119C22×D4×C43C2311yescharacteristic
120C22×D4×C43C2311yescharacteristic
121C23×C4×C43—21no—
122C23×C4×C43C2311yescharacteristic
123C2×SD16×C43—22no—
124C2×SD16×C43—22no—
125C2×SD16×C43—41no—
126C2×D8×C43—22no—
127C2×D8×C43—22no—
128C2×D8×C43D414yes—
129C22×C8×C43C2311yescharacteristic
130C22×C8×C43C2311yescharacteristic
131#121×C43—22no—
132#121×C43—41no—
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C22⋊C4×C43—21no—
135#103×C43—22no—
136#102×C43—22no—
137C22⋊C8×C43—22no—
138C24×C43—21no—
139C24×C43—21no—
140C24×C43C2×D411yescharacteristic
141#41×C43—44no—
142#41×C43—44no—
143#41×C43—44no—
144#41×C43—44no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43#4112yes—
151C2×D4×C43—24no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—42no—
161C2×D4×C43—42no—
162C2×D4×C43—42no—
163C2×D4×C43—42no—
164C2×D4×C43—81no—
165C2×D4×C43C2×D412yes—
166C2×D4×C43C2×D412yes—
167C2×D4×C43#4112yes—
168C2×D4×C43#4112yes—
169C22×C4×C43—24no—
170C22×C4×C43—21no—
171C22×C4×C43—21no—
172C22×C4×C43—21no—
173C22×C4×C43—21no—
174C22×C4×C43—21no—
175C22×C4×C43—21no—
176C22×C4×C43—21no—
177C22×C4×C43—21no—
178C22×C4×C43—42no—
179C22×C4×C43—42no—
180C22×C4×C43C2×D411yescharacteristic
181C22×C4×C43C2411yescharacteristic
182C22×Dic43—21no—
183C22×Dic43—21no—
184C22×Dic43—21no—
185C22×Dic43—21no—
186C22×Dic43—42no—
187C22×Dic43—42no—
188C22×Dic43—42no—
189C22×Dic43—42no—
190C22×Dic43—42no—
191C22×Dic43—42no—
192C22×Dic43—81no—
193C22×Dic43—81no—
194C22×Dic43—81no—
195C22×Dic43C2×D411yescharacteristic
196C22×Dic43C2×D411yescharacteristic
197C22×Dic43C2×D411yescharacteristic
198C22×Dic43C2×D411yescharacteristic
199SD16×C43—44no—
200D8×C43—28no—
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C2×C8×C43—21no—
204C2×C8×C43—21no—
205C2×C8×C43—21no—
206C2×C8×C43C2×D412yes—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—21no—
209C22⋊C4×C43—42no—
210C22⋊Dic43—22no—
211C22⋊Dic43—41no—
212C22⋊Dic43—42no—
213C22⋊Dic43—42no—
214C22⋊Dic43—42no—
215C22⋊Dic43—81no—
216C22⋊Dic43—81no—
217C22⋊Dic43—81no—
218C22⋊Dic43—81no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226C4⋊Dic43—21no—
227Dic43⋊C4—81no—
228C4×Dic43—21no—
229C4×Dic43—21no—
230C4×Dic43—21no—
231C4×Dic43—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C23×C43—22no—
239C23×C43—22no—
240C23×C43—22no—
241C23×C43—21no—
242C23×C43—22no—
243C23×C43—21no—
244C23×C43—21no—
245C23×C43—21no—
246C23×C43—21no—
247C23×C43—21no—
248C23×C43—21no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43—41no—
253C23×C43—41no—
254C23×C43—41no—
255C23×C43—41no—
256C23×C43—41no—
257C23×C43—41no—
258C23×C43—41no—
259C23×C43C22×D411yescharacteristic
260Q8×C43—22no—
261Q8×C43—22no—
262Q8×C43—41no—
263Q8×C43—41no—
264D4×C43—22no—
265D4×C43—22no—
266D4×C43—22no—
267D4×C43—22no—
268D4×C43—22no—
269D4×C43—48no—
270D4×C43—41no—
271D4×C43—41no—
272D4×C43—84no—
273D4×C43#12314yes—
274C2×C4×C43—21no—
275C2×C4×C43—22no—
276C2×C4×C43—21no—
277C2×C4×C43—21no—
278C2×C4×C43—48no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—41no—
282C2×C4×C43—41no—
283C2×C4×C43—41no—
284C2×C4×C43—41no—
285C2×C4×C43—41no—
286C2×C4×C43—41no—
287C2×C4×C43—41no—
288C2×C4×C43C22×D411yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C2×C4×C43C2×#4111yescharacteristic
291C2×C4×C43C2×#4111yescharacteristic
292C2×C4×C43H(5,𝔽2)11yescharacteristic
293C2×C4×C43H(5,𝔽2)11yescharacteristic
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—21no—
299C2×Dic43—21no—
300C2×Dic43—21no—
301C2×Dic43—21no—
302C2×Dic43—21no—
303C2×Dic43—21no—
304C2×Dic43—21no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—41no—
308C2×Dic43—41no—
309C2×Dic43—41no—
310C2×Dic43—41no—
311C2×Dic43—41no—
312C2×Dic43—41no—
313C2×Dic43—41no—
314C2×Dic43—41no—
315C2×Dic43—41no—
316C2×Dic43—41no—
317C2×Dic43—84no—
318C2×Dic43—84no—
319C2×Dic43—84no—
320C2×Dic43#13512yes—
321C8×C43—22no—
322C8×C43—41no—
323C43⋊C8—41no—
324C43⋊C8—41no—
325#24895—431nomaximal, Sylow
326C22×C43—24no—
327C22×C43—42no—
328C22×C43—42no—
329C22×C43—42no—
330C22×C43—42no—
331C22×C43—42no—
332C22×C43—42no—
333C22×C43—41no—
334C22×C43—41no—
335C22×C43—41no—
336C22×C43—42no—
337C22×C43—41no—
338C22×C43—42no—
339C22×C43—41no—
340C22×C43—42no—
341C22×C43—41no—
342C22×C43—41no—
343C22×C43—81no—
344C22×C43—81no—
345C22×C43—81no—
346C22×C43—81no—
347C22×C43#52511yescharacteristic
348C22×C43D4211yescharacteristic
349C22×C43#54611yescharacteristic
350C22×C43C2×#13511yescharacteristic
351C22×C43#57511yescharacteristic
352C22×C43#57611yescharacteristic
353C22×C43#57711yescharacteristic
354C4×C43—41no—
355C4×C43—42no—
356C4×C43—81no—
357C4×C43C2×#12311yescharacteristic
358C4×C43#53811yescharacteristic
359C4×C43#54611yescharacteristic
360C4×C43#55111yescharacteristic
361Dic43—22no—
362Dic43—41no—
363Dic43—41no—
364Dic43—41no—
365Dic43—81no—
366Dic43—81no—
367Dic43—81no—
368Dic43—81no—
369C2×#449D4311yescharacteristic
370C2×C4×D8—431no—
371#2420—431no—
372#2339—431no—
373#2097—431no—
374#2075—431no—
375#2055—431no—
376#2034—431no—
377#1933—431no—
378#1923—431no—
379#1879—431no—
380#1877—431no—
381#1864—431no—
382#1804—431no—
383#1788—431no—
384C2×C43—44no—
385C2×C43—81no—
386C2×C43—82no—
387C2×C43#241811yescharacteristic
388C2×C43#310211yescharacteristic
389C2×C43#311911yescharacteristic
390C2×C43#326711yescharacteristic
391C2×C43#328011yescharacteristic
392C2×C43#330311yescharacteristic
393C2×C43#332211yescharacteristic
394C22×#41C2×D4311yescharacteristic
395C22×SD16C2×D4311yescharacteristic
396C22×D8C2×D4311yescharacteristic
397C2×#121C2×D4311yescharacteristic
398C2×C4×D4—431no—
399C2×C4×D4—431no—
400C2×C4×D4—431no—
401#449—24no—
402C4×D8—864no—
403C2×#107—431no—
404C2×#106—431no—
405C2×C4⋊C8—431no—
406C2×#103—431no—
407C2×#103—431no—
408C2×#103C2×D4311yescharacteristic
409C2×#102—431no—
410C2×#102—431no—
411C2×#102—431no—
412C2×#102—431no—
413C2×#102C2×D4311yescharacteristic
414C2×C22⋊C8—431no—
415C2×C22⋊C8C2×D4311yescharacteristic
416C2×C4×C8—431no—
417#397—861no—
418#394—861no—
419#391—431no—
420#391—431no—
421#390—431no—
422#389—431no—
423#386—861no—
424#386—861no—
425#386—861no—
426#382—431no—
427#381—861no—
428#381—861no—
429#380—431no—
430#380—431no—
431C4×C22⋊C4—431no—
432C2×#95—861no—
433#340—431no—
434#340—431no—
435#340—431no—
436#340—431no—
437#336—431no—
438#336—431no—
439C43#2489511yescharacteristic, complemented, Sylow
440C2×#41—22no—
441C2×#41—22no—
442C2×#41—22no—
443C2×#41—22no—
444C2×#41—41no—
445C2×#41—41no—
446C22×Q8C22×D4311yescharacteristic
447C22×D4—21no—
448C22×D4—21no—
449C22×D4C22×D4311yescharacteristic
450C22×D4C22×D4311yescharacteristic
451C23×C4—21no—
452C23×C4—861no—
453C23×C4—861no—
454C23×C4—861no—
455C23×C4C22×D4311yescharacteristic
456C2×SD16—22no—
457C2×SD16—22no—
458C2×SD16—41no—
459C2×D8—22no—
460C2×D8—22no—
461C2×D8C22⋊D4314yes—
462C22×C8—431no—
463C22×C8—431no—
464C22×C8C22×D4311yescharacteristic
465C22×C8C22×D4311yescharacteristic
466#121—22no—
467#121—41no—
468C4×D4—862no—
469C4×D4—862no—
470C4×D4—862no—
471C4×D4—1721no—
472C4×D4—1721no—
473C4×D4—1721no—
474C2×C4⋊C4—431no—
475C2×C4⋊C4—431no—
476C2×C4⋊C4—431no—
477C2×C4⋊C4—431no—
478C2×C4⋊C4—861no—
479C2×C4⋊C4C22×D4311yescharacteristic
480C2×C22⋊C4—21no—
481C2×C22⋊C4—431no—
482C2×C22⋊C4—431no—
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×C42—431no—
491C2×C42—431no—
492#107—862no—
493#106—1721no—
494C4⋊C8—1721no—
495#103—22no—
496#103—862no—
497#103—1721no—
498#102—22no—
499#102—862no—
500#102—862no—
501#102—862no—
502#102—1721no—
503C22⋊C8—22no—
504C22⋊C8—1721no—
505C4×C8—862no—
506#95—431no—
507#95—431no—
508#95—861no—
509#95—861no—
510#95—861no—
511#95—861no—
512#95—861no—
513#95—861no—
514#95—861no—
515#95—861no—
516#95—861no—
517C24—21no—
518C24—21no—
519C24D4×D4311yescharacteristic
520#41—44no—
521#41—44no—
522#41—44no—
523#41—44no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8#1062190012yes—
530C2×D4—24no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—42no—
540C2×D4—42no—
541C2×D4—42no—
542C2×D4—42no—
543C2×D4—81no—
544C2×D4#1062190012yes—
545C2×D4#1062190012yes—
546C2×D4C2×C22⋊D4312yes—
547C2×D4C2×C22⋊D4312yes—
548C22×C4—24no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—42no—
558C22×C4—42no—
559C22×C4—431no—
560C22×C4—431no—
561C22×C4—431no—
562C22×C4—431no—
563C22×C4—861no—
564C22×C4—861no—
565C22×C4—861no—
566C22×C4—861no—
567C22×C4—3441no—
568C22×C4—3441no—
569C22×C4—3441no—
570C22×C4—1722no—
571C22×C4—1722no—
572C22×C4—1722no—
573C22×C4—1722no—
574C22×C4—1722no—
575C22×C4—1722no—
576C22×C4D4×D4311yescharacteristic
577C22×C4C23×D4311yescharacteristic
578SD16—44no—
579D8—28no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—861no—
586C2×C8—861no—
587C2×C8—861no—
588C2×C8—861no—
589C2×C8—861no—
590C2×C8—861no—
591C2×C8C2×C22⋊D4312yes—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—861no—
595C4⋊C4—861no—
596C4⋊C4—861no—
597C4⋊C4—861no—
598C4⋊C4—861no—
599C4⋊C4—861no—
600C4⋊C4—861no—
601C4⋊C4—861no—
602C4⋊C4—3441no—
603C22⋊C4—42no—
604C22⋊C4—862no—
605C22⋊C4—3441no—
606C22⋊C4—3441no—
607C22⋊C4—3441no—
608C22⋊C4—3441no—
609C22⋊C4—1721no—
610C22⋊C4—1722no—
611C22⋊C4—1722no—
612C22⋊C4—1722no—
613C42—861no—
614C42—861no—
615C42—861no—
616C42—861no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—22no—
626C23—21no—
627C23—21no—
628C23—41no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—41no—
635C23—41no—
636C23—41no—
637C23—41no—
638C23C2×D4×D4311yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—41no—
642Q8—41no—
643D4—22no—
644D4—22no—
645D4—22no—
646D4—22no—
647D4—22no—
648D4—48no—
649D4—41no—
650D4—41no—
651D4—84no—
652D4#1306330614yes—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—48no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—432no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—861no—
672C2×C4—861no—
673C2×C4—861no—
674C2×C4—861no—
675C2×C4—861no—
676C2×C4—861no—
677C2×C4—861no—
678C2×C4—861no—
679C2×C4—3444no—
680C2×C4—3444no—
681C2×C4—3444no—
682C2×C4—1721no—
683C2×C4—1721no—
684C2×C4—1721no—
685C2×C4—1721no—
686C2×C4—1721no—
687C2×C4—1721no—
688C2×C4—1721no—
689C2×C4—1721no—
690C2×C4—1721no—
691C2×C4—1721no—
692C2×C4—1721no—
693C2×C4—1721no—
694C2×C4C22×C22⋊D4311yescharacteristic
695C2×C4C2×#1062190011yescharacteristic
696C2×C4C2×#1062190011yescharacteristic
697C2×C4C2×#1062190011yescharacteristic
698C2×C4#1306337011yescharacteristic
699C2×C4#1306337011yescharacteristic
700C8—22no—
701C8—41no—
702C8—1721no—
703C8—1721no—
704C22—24no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—41no—
712C22—42no—
713C22—41no—
714C22—42no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—42no—
720C22—41no—
721C22—81no—
722C22—81no—
723C22—81no—
724C22—81no—
725C22#1458340511yescharacteristic
726C22D4×C22⋊D4311yescharacteristic
727C22#1458353611yescharacteristic
728C22#135×D4311yescharacteristic
729C22#1458369511yescharacteristic
730C22#1458370111yescharacteristic
731C22#1458370911yescharacteristic
732C4—41no—
733C4—42no—
734C4—81no—
735C4—862no—
736C4—3441no—
737C4—3441no—
738C4—3441no—
739C4—3441no—
740C4—1721no—
741C4—1721no—
742C4—1721no—
743C4C2×#1306330611yescharacteristic
744C4#1458348411yescharacteristic
745C4#1458354311yescharacteristic
746C4#1458358011yescharacteristic
747C2—44no—
748C2—81no—
749C2—82no—
750C2#1913805311yescharacteristic
751C2#1914460611yescharacteristic
752C2#1914478711yescharacteristic
753C2#1914611411yescharacteristic
754C2#1914627411yescharacteristic
755C2#1914651611yescharacteristic
756C2#1914678911yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
Fitting, prime radicalC2×C43×#449C2
socleC23×C43C22×D4
hypercenterC2×#449D43
hypocenterC43#24895
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#449

Complements

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

NH ≅ G/Ntype
1. C2×D8×Dic43C2semidirect
2. #19138083C2semidirect
3. #19137425C2semidirect
4. #19136141C2semidirect
5. #19136018C2semidirect
6. #19135908C2semidirect
7. #19135781C2semidirect
8. #19135268C2semidirect
9. #19135198C2semidirect
10. #19134945C2semidirect
11. #19134931C2semidirect
12. #19134854C2semidirect
13. #19134603C2semidirect
14. #19134535C2semidirect
439. C43#24895semidirect

Maximal subgroups

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

subgroupindex
C2×D8×Dic432
#191380832
#191374252
#191361412
#191360182
#191359082
#191357812
#191352682
#191351982
#191349452
#191349312
#191348542
#191346032
#191345352
C2×C43×#4492
#2489543