Finite Group Databasebeta

← #25075488

Subgroups — #25075488

Order 11008.

1206 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19145517C211yesmaximal, characteristic, complemented
2#19144410C211yesmaximal, characteristic, complemented
3C2×#14583189C211yesmaximal, characteristic, complemented
4#19133760C212yesmaximal, complemented
5#19133746C212yesmaximal, complemented
6#19133722C212yesmaximal, complemented
7#19133711C212yesmaximal, complemented
8#19133272C211yesmaximal, characteristic, complemented
9#19133020C211yesmaximal, characteristic, complemented
10#19132982C211yesmaximal, characteristic, complemented
11D4×#41×C43C211yesmaximal, characteristic
12C2×#13063325C2211yescharacteristic, complemented
13#14583271C2212yescomplemented
14#14583251C2212yescomplemented
15#14583194C2212yescomplemented
16#14583189—21no—
17#14583189—21no—
18#14583189C2212yes—
19#14583189C2212yescomplemented
20#14583189C2212yescomplemented
21#14583184—21no—
22#14583179—21no—
23#14583104—22no—
24#14583037—22no—
25#14582952C2211yescharacteristic, complemented
26#14582942—21no—
27C2×#13063256—21no—
28#14582923C2211yescharacteristic, complemented
29C2×C4⋊(C43⋊C8)C2211yescharacteristic, complemented
30#14582900—21no—
31C2×#13063246—21no—
32#14582645C2212yescomplemented
33#14582643C2212yescomplemented
34Q8⋊(C43⋊C8)C2212yescomplemented
35D4⋊(C43⋊C8)C2212yes—
36D4⋊(C43⋊C8)C2212yescomplemented
37D4⋊(C43⋊C8)C2212yescomplemented
38C22×#41×C43—21no—
39C43×#550C2211yescharacteristic
40D4×Q8×C43C2211yescharacteristic
41C43×#548—21no—
42C43×#547—21no—
43C43×#547C2211yescharacteristic
44C43×#546—22no—
45C43×#546—21no—
46D42×C43—21no—
47D42×C43C2211yescharacteristic
48C43×#532—21no—
49C43×#532C2211yescharacteristic
50C43×#525—22no—
51C43×#525—21no—
52C4×#41×C43C2211yescharacteristic
53C2×C4×D4×C43—21no—
54C2×C4×D4×C43C2211yescharacteristic
55C22×Dic86—21no—
56C2×#10621883—24no—
57C2×#10621877—21no—
58C22×C43⋊C8—21no—
59#13063325—21no—
60#13063325—21no—
61#13063325—21no—
62#13063325C2312yes—
63C2×C4⋊Dic43—21no—
64C2×C4⋊Dic43—21no—
65#13063258—22no—
66#13063256—22no—
67#13063256—22no—
68#13063256—22no—
69C4⋊(C43⋊C8)—21no—
70C4⋊(C43⋊C8)—21no—
71C4⋊(C43⋊C8)—21no—
72C4⋊(C43⋊C8)C2312yes—
73C4⋊(C43⋊C8)C2312yes—
74#13063249—22no—
75#13063248—24no—
76#13063246—22no—
77#13063246—22no—
78#13063246—22no—
79C22⋊(C43⋊C8)—21no—
80C4×C43⋊C8C2312yes—
81C2×#41×C43—22no—
82C2×#41×C43—22no—
83C2×#41×C43—21no—
84C2×#41×C43—21no—
85C2×#41×C43—21no—
86C2×#41×C43—44no—
87C2×#41×C43—44no—
88C2×#41×C43D411yescharacteristic
89C22×Q8×C43—21no—
90C22×D4×C43—22no—
91C22×D4×C43—21no—
92C22×D4×C43—21no—
93C22×D4×C43D411yescharacteristic
94C23×C4×C43—22no—
95C23×C4×C43—21no—
96C4⋊Q8×C43—21no—
97C4⋊Q8×C43C2311yescharacteristic
98#127×C43—21no—
99#127×C43C2311yescharacteristic
100#124×C43—22no—
101#124×C43—21no—
102#123×C43—22no—
103#123×C43—22no—
104#123×C43—22no—
105C22⋊Q8×C43—22no—
106C22⋊Q8×C43—21no—
107C22⋊Q8×C43—22no—
108C22⋊Q8×C43—21no—
109#121×C43—22no—
110#121×C43—22no—
111#121×C43—22no—
112#121×C43—21no—
113#121×C43—21no—
114#121×C43—21no—
115#121×C43—21no—
116#121×C43—21no—
117#121×C43D412yes—
118#120×C43—22no—
119#120×C43—22no—
120#120×C43—22no—
121C4×Q8×C43D411yescharacteristic
122C4×Q8×C43C2311yescharacteristic
123C4×D4×C43—22no—
124C4×D4×C43—22no—
125C4×D4×C43—22no—
126C4×D4×C43—21no—
127C4×D4×C43—21no—
128C4×D4×C43—21no—
129C4×D4×C43—21no—
130C4×D4×C43—21no—
131C4×D4×C43—21no—
132C4×D4×C43—21no—
133C4×D4×C43D411yescharacteristic
134C4×D4×C43D411yescharacteristic
135C4×D4×C43D411yescharacteristic
136C4×D4×C43D412yes—
137C4×D4×C43C2311yescharacteristic
138C4×D4×C43C2311yescharacteristic
139C4×D4×C43C2311yescharacteristic
140#117×C43—21no—
141#117×C43D411yescharacteristic
142C2×C4⋊C4×C43—21no—
143C2×C4⋊C4×C43D411yescharacteristic
144C2×C22⋊C4×C43—22no—
145C2×C22⋊C4×C43—21no—
146C2×C42×C43—21no—
147C2×C42×C43C2311yescharacteristic
148C24×C43—22no—
149C24×C43—21no—
150#41×C43—22no—
151#41×C43—48no—
152#41×C43—48no—
153#41×C43—42no—
154#41×C43—42no—
155#41×C43—42no—
156#41×C43—42no—
157#41×C43—42no—
158#41×C43—42no—
159#41×C43SD1614yescomplemented
160C2×Q8×C43—22no—
161C2×Q8×C43—21no—
162C2×Q8×C43—42no—
163C2×Q8×C43—42no—
164C2×Q8×C43C2×D411yescharacteristic
165C2×D4×C43—22no—
166C2×D4×C43—22no—
167C2×D4×C43—22no—
168C2×D4×C43—22no—
169C2×D4×C43—22no—
170C2×D4×C43—21no—
171C2×D4×C43—21no—
172C2×D4×C43—21no—
173C2×D4×C43—21no—
174C2×D4×C43—22no—
175C2×D4×C43—22no—
176C2×D4×C43—41no—
177C2×D4×C43—42no—
178C2×D4×C43—42no—
179C2×D4×C43—48no—
180C2×D4×C43—42no—
181C2×D4×C43—42no—
182C2×D4×C43C2×D411yescharacteristic
183C2×D4×C43C2×D411yescharacteristic
184C2×D4×C43C2×D411yescharacteristic
185C2×D4×C43C2×D412yes—
186C22×C4×C43—21no—
187C22×C4×C43—22no—
188C22×C4×C43—22no—
189C22×C4×C43—22no—
190C22×C4×C43—21no—
191C22×C4×C43—22no—
192C22×C4×C43—21no—
193C22×C4×C43—21no—
194C22×C4×C43—21no—
195C22×C4×C43—21no—
196C22×C4×C43—21no—
197C22×C4×C43—21no—
198C22×C4×C43—48no—
199C22×C4×C43—42no—
200C22×C4×C43—42no—
201C22×C4×C43C2×D411yescharacteristic
202C22×C4×C43C2×D411yescharacteristic
203C22×C4×C43C2×D411yescharacteristic
204C22×Dic43—41no—
205C2×Dic86—22no—
206C2×Dic86—41no—
207C2×Dic86—82no—
208C4⋊C4×C43—22no—
209C4⋊C4×C43—22no—
210C4⋊C4×C43—21no—
211C4⋊C4×C43—21no—
212C4⋊C4×C43—21no—
213C4⋊C4×C43—21no—
214C4⋊C4×C43C2×D411yescharacteristic
215C4⋊C4×C43C2×D411yescharacteristic
216C4⋊C4×C43C2×D411yescharacteristic
217C4⋊C4×C43C2×D411yescharacteristic
218C4⋊C4×C43C2×D412yes—
219C22⋊C4×C43—22no—
220C22⋊C4×C43—22no—
221C22⋊C4×C43—22no—
222C22⋊C4×C43—22no—
223C22⋊C4×C43—21no—
224C22⋊C4×C43—22no—
225C22⋊C4×C43—21no—
226C22⋊C4×C43—21no—
227C22⋊C4×C43—22no—
228C22⋊C4×C43—21no—
229C22⋊C4×C43—21no—
230C22⋊C4×C43—21no—
231C22⋊C4×C43—21no—
232C42×C43—21no—
233C42×C43—21no—
234C42×C43—21no—
235C42×C43C2×D411yescharacteristic
236C42×C43C2×D411yescharacteristic
237C42×C43C2×D411yescharacteristic
238C42×C43C2411yescharacteristic
239#10621883—84no—
240C4⋊Dic43—22no—
241C4⋊Dic43—22no—
242C4⋊Dic43—41no—
243C4⋊Dic43—41no—
244#10621877—42no—
245C2×C43⋊C8—22no—
246C2×C43⋊C8—22no—
247C2×C43⋊C8—22no—
248C2×C43⋊C8—42no—
249C23×C43—21no—
250C23×C43—21no—
251C23×C43—21no—
252C23×C43—22no—
253C23×C43—42no—
254C23×C43—44no—
255C23×C43—44no—
256C23×C43—42no—
257C23×C43—81no—
258C23×C43—82no—
259C23×C43#12011yescharacteristic
260Q8×C43—21no—
261Q8×C43—44no—
262Q8×C43—41no—
263Q8×C43—41no—
264Q8×C43C2×SD1612yes—
265D4×C43—24no—
266D4×C43—21no—
267D4×C43—21no—
268D4×C43—21no—
269D4×C43—21no—
270D4×C43—42no—
271D4×C43—42no—
272D4×C43—44no—
273D4×C43—44no—
274D4×C43—44no—
275D4×C43—44no—
276D4×C43—44no—
277D4×C43—41no—
278D4×C43—41no—
279D4×C43—41no—
280D4×C43—41no—
281D4×C43—82no—
282D4×C43C2×SD1612yes—
283D4×C43#13712yes—
284C2×C4×C43—21no—
285C2×C4×C43—21no—
286C2×C4×C43—21no—
287C2×C4×C43—24no—
288C2×C4×C43—21no—
289C2×C4×C43—21no—
290C2×C4×C43—21no—
291C2×C4×C43—22no—
292C2×C4×C43—21no—
293C2×C4×C43—41no—
294C2×C4×C43—44no—
295C2×C4×C43—44no—
296C2×C4×C43—44no—
297C2×C4×C43—42no—
298C2×C4×C43—41no—
299C2×C4×C43—41no—
300C2×C4×C43—41no—
301C2×C4×C43—41no—
302C2×C4×C43—41no—
303C2×C4×C43—41no—
304C2×C4×C43—42no—
305C2×C4×C43—44no—
306C2×C4×C43—42no—
307C2×C4×C43—81no—
308C2×C4×C43#12011yescharacteristic
309C2×C4×C43#12011yescharacteristic
310C2×C4×C43#12011yescharacteristic
311C2×C4×C43C2×SD1612yes—
312C2×C4×C43AGL(1,ℤ/8)12yes—
313C2×C4×C43C22×D411yescharacteristic
314C2×C4×C43C22×D411yescharacteristic
315C2×C4×C43C22×D411yescharacteristic
316C2×Dic43—42no—
317C2×Dic43—82no—
318Dic86—44no—
319Dic86—82no—
320C43⋊C8—42no—
321C43⋊C8—42no—
322C43⋊C8—42no—
323#18787—431nomaximal, Sylow
324C22×C43—21no—
325C22×C43—21no—
326C22×C43—22no—
327C22×C43—22no—
328C22×C43—41no—
329C22×C43—41no—
330C22×C43—41no—
331C22×C43—41no—
332C22×C43—42no—
333C22×C43—41no—
334C22×C43—41no—
335C22×C43—42no—
336C22×C43—42no—
337C22×C43—41no—
338C22×C43—84no—
339C22×C43—88no—
340C22×C43#45012yes—
341C22×C43C2×#12011yescharacteristic
342C4×C43—22no—
343C4×C43—21no—
344C4×C43—21no—
345C4×C43—21no—
346C4×C43—41no—
347C4×C43—42no—
348C4×C43—41no—
349C4×C43—41no—
350C4×C43—41no—
351C4×C43#45012yes—
352C4×C43C22×SD1611yescharacteristic
353C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
354C4×C43C2×#13711yescharacteristic
355C4×C43#57511yescharacteristic
356Dic43—82no—
357D4×#41D4311yescharacteristic
358#3206—431no—
359#3079—431no—
360C2×#476—431no—
361#1637—432no—
362#1635—432no—
363#1631—432no—
364#1629—432no—
365#1547—431no—
366#1486—431no—
367#1477—431no—
368C2×C43—22no—
369C2×C43—42no—
370C2×C43—42no—
371C2×C43—81no—
372C2×C43—82no—
373C2×C43C2×#45011yescharacteristic
374C2×C43#300711yescharacteristic
375C2×C43#302111yescharacteristic
376C22×#41—21no—
377#550C2×D4311yescharacteristic
378D4×Q8C2×D4311yescharacteristic
379#548—21no—
380#547—21no—
381#547C2×D4311yescharacteristic
382#546—22no—
383#546—21no—
384D42—21no—
385D42C2×D4311yescharacteristic
386#532—21no—
387#532C2×D4311yescharacteristic
388C2×C4⋊Q8—431no—
389#525—22no—
390#525—21no—
391C4×#41C2×D4311yescharacteristic
392C2×C4×D4—21no—
393C2×C4×D4C2×D4311yescharacteristic
394#492—432no—
395#487—432no—
396#477—432no—
397#476—432no—
398#476—432no—
399#476—432no—
400#476—861no—
401#476—861no—
402#475—861no—
403#474—861no—
404#461—862no—
405#448—862no—
406#431—431no—
407#428—861no—
408C2×#106—861no—
409#423—431no—
410C2×C4⋊C8—431no—
411#417—861no—
412C2×#102—861no—
413#332—432no—
414#331—432no—
415Q8⋊C8—432no—
416D4⋊C8—432no—
417D4⋊C8—432no—
418D4⋊C8—432no—
419C43#1878711yescharacteristic, complemented, Sylow
420C2×#41—22no—
421C2×#41—22no—
422C2×#41—21no—
423C2×#41—21no—
424C2×#41—21no—
425C2×#41—44no—
426C2×#41—44no—
427C2×#41C22⋊D4311yescharacteristic
428C22×Q8—21no—
429C22×Q8—861no—
430C22×D4—22no—
431C22×D4—21no—
432C22×D4—21no—
433C22×D4C22⋊D4311yescharacteristic
434C23×C4—22no—
435C23×C4—21no—
436C2×SD16—864no—
437C2×M16—861no—
438C22×C8—861no—
439C4⋊Q8—21no—
440C4⋊Q8—432no—
441C4⋊Q8—861no—
442C4⋊Q8—861no—
443C4⋊Q8—861no—
444C4⋊Q8C22×D4311yescharacteristic
445#127—21no—
446#127C22×D4311yescharacteristic
447#124—22no—
448#124—21no—
449#123—22no—
450#123—22no—
451#123—22no—
452C22⋊Q8—22no—
453C22⋊Q8—21no—
454C22⋊Q8—22no—
455C22⋊Q8—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121C22⋊D4312yes—
465#120—22no—
466#120—22no—
467#120—22no—
468C4×Q8C22⋊D4311yescharacteristic
469C4×Q8C22×D4311yescharacteristic
470C4×D4—22no—
471C4×D4—22no—
472C4×D4—22no—
473C4×D4—21no—
474C4×D4—21no—
475C4×D4—21no—
476C4×D4—21no—
477C4×D4—21no—
478C4×D4—21no—
479C4×D4—21no—
480C4×D4C22⋊D4311yescharacteristic
481C4×D4C22⋊D4311yescharacteristic
482C4×D4C22⋊D4311yescharacteristic
483C4×D4C22⋊D4312yes—
484C4×D4C22×D4311yescharacteristic
485C4×D4C22×D4311yescharacteristic
486C4×D4C22×D4311yescharacteristic
487#117—21no—
488#117C22⋊D4311yescharacteristic
489C2×C4⋊C4—21no—
490C2×C4⋊C4—861no—
491C2×C4⋊C4—861no—
492C2×C4⋊C4C22⋊D4311yescharacteristic
493C2×C22⋊C4—22no—
494C2×C22⋊C4—21no—
495C2×C42—21no—
496C2×C42C22×D4311yescharacteristic
497#107—862no—
498#106—862no—
499#106—862no—
500#106—862no—
501C4⋊C8—432no—
502C4⋊C8—432no—
503C4⋊C8—861no—
504C4⋊C8—861no—
505C4⋊C8—861no—
506#103—862no—
507#103—864no—
508#102—862no—
509#102—862no—
510#102—862no—
511C22⋊C8—861no—
512C4×C8—432no—
513C24—22no—
514C24—21no—
515#41—22no—
516#41—48no—
517#41—48no—
518#41—42no—
519#41—42no—
520#41—42no—
521#41—42no—
522#41—42no—
523#41—42no—
524#41#1062188314yescomplemented
525C2×Q8—22no—
526C2×Q8—21no—
527C2×Q8—42no—
528C2×Q8—42no—
529C2×Q8—862no—
530C2×Q8—3442no—
531C2×Q8—1721no—
532C2×Q8C2×C22⋊D4311yescharacteristic
533C2×D4—21no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—22no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—22no—
540C2×D4—22no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—48no—
546C2×D4—42no—
547C2×D4—42no—
548C2×D4—42no—
549C2×D4—42no—
550C2×D4C2×C22⋊D4311yescharacteristic
551C2×D4C2×C22⋊D4311yescharacteristic
552C2×D4C2×C22⋊D4311yescharacteristic
553C2×D4C2×C22⋊D4312yes—
554C22×C4—21no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—22no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—48no—
567C22×C4—42no—
568C22×C4—42no—
569C22×C4—1721no—
570C22×C4C2×C22⋊D4311yescharacteristic
571C22×C4C2×C22⋊D4311yescharacteristic
572C22×C4C2×C22⋊D4311yescharacteristic
573SD16—3444no—
574M16—1722no—
575C2×C8—862no—
576C2×C8—862no—
577C2×C8—862no—
578C2×C8—1722no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—862no—
586C4⋊C4—862no—
587C4⋊C4—1721no—
588C4⋊C4—1721no—
589C4⋊C4C2×C22⋊D4312yes—
590C4⋊C4C2×C22⋊D4311yescharacteristic
591C4⋊C4C2×C22⋊D4311yescharacteristic
592C4⋊C4C2×C22⋊D4311yescharacteristic
593C4⋊C4C2×C22⋊D4311yescharacteristic
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—22no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C42—21no—
608C42—21no—
609C42—21no—
610C42C2×C22⋊D4311yescharacteristic
611C42C2×C22⋊D4311yescharacteristic
612C42C2×C22⋊D4311yescharacteristic
613C42C23×D4311yescharacteristic
614C23—21no—
615C23—21no—
616C23—22no—
617C23—21no—
618C23—42no—
619C23—44no—
620C23—44no—
621C23—42no—
622C23—81no—
623C23—82no—
624C23#1306329411yescharacteristic
625Q8—21no—
626Q8—44no—
627Q8—41no—
628Q8—41no—
629Q8—3442no—
630Q8—1724no—
631Q8C2×#1062188312yes—
632D4—24no—
633D4—21no—
634D4—21no—
635D4—21no—
636D4—21no—
637D4—42no—
638D4—42no—
639D4—44no—
640D4—44no—
641D4—44no—
642D4—44no—
643D4—44no—
644D4—41no—
645D4—41no—
646D4—41no—
647D4—41no—
648D4—82no—
649D4C2×#1062188312yes—
650D4#1306335512yes—
651C2×C4—21no—
652C2×C4—24no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—41no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—81no—
675C2×C4—3442no—
676C2×C4—1722no—
677C2×C4#1306329411yescharacteristic
678C2×C4#1306329411yescharacteristic
679C2×C4#1306329411yescharacteristic
680C2×C4C2×#1062188312yes—
681C2×C4#1306335112yes—
682C2×C4C22×C22⋊D4311yescharacteristic
683C2×C4C22×C22⋊D4311yescharacteristic
684C2×C4C22×C22⋊D4311yescharacteristic
685C8—1722no—
686C8—1722no—
687C8—1722no—
688C22—21no—
689C22—21no—
690C22—22no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—42no—
697C22—41no—
698C22—42no—
699C22—41no—
700C22—41no—
701C22—42no—
702C22—84no—
703C22—88no—
704C22#1458305012yes—
705C22C2×#1306329411yescharacteristic
706C4—21no—
707C4—21no—
708C4—22no—
709C4—21no—
710C4—41no—
711C4—41no—
712C4—42no—
713C4—41no—
714C4—41no—
715C4—3442no—
716C4#1458305012yes—
717C4C22×#1062188311yescharacteristic
718C4C2×#1306335111yescharacteristic
719C4C2×#1306335511yescharacteristic
720C4#1458369711yescharacteristic
721C2—22no—
722C2—42no—
723C2—42no—
724C2—82no—
725C2—81no—
726C2C2×#1458305011yescharacteristic
727C2#1914385511yescharacteristic
728C2#1914396711yescharacteristic
subgroupG/H
centerC22C2×#13063294
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
Fitting, prime radicalD4×#41×C43C2
socleC22×C43C2×#120
hypercenterD4×#41D43
hypocenterC43#18787
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #19145517C2semidirect
2. #19144410C2semidirect
3. C2×#14583189C2semidirect
4. #19133760C2semidirect
5. #19133746C2semidirect
6. #19133722C2semidirect
7. #19133711C2semidirect
8. #19133272C2semidirect
9. #19133020C2semidirect
10. #19132982C2semidirect
12. C2×#13063325C22semidirect
13. #14583271C22semidirect
14. #14583251C22semidirect
15. #14583194C22semidirect
19. #14583189C22semidirect
20. #14583189C22semidirect
25. #14582952C22semidirect
28. #14582923C22semidirect
29. C2×C4⋊(C43⋊C8)C22semidirect
32. #14582645C22semidirect
33. #14582643C22semidirect
34. Q8⋊(C43⋊C8)C22semidirect
36. D4⋊(C43⋊C8)C22semidirect
37. D4⋊(C43⋊C8)C22semidirect
159. #41×C43SD16semidirect
419. C43#18787semidirect
524. #41#10621883semidirect

Maximal subgroups

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

subgroupindex
#191455172
#191444102
C2×#145831892
#191337602
#191337462
#191337222
#191337112
#191332722
#191330202
#191329822
D4×#41×C432
#1878743