Finite Group Databasebeta

← #25960823

Subgroups — #25960823

Order 11008.

2742 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583707C211yesmaximal, characteristic
22−1+4×Dic43C211yesmaximal, characteristic, complemented
3#19147801C211yesmaximal, characteristic, complemented
4#19143474C213yesmaximal, complemented
5#19143450C213yesmaximal, complemented
6#19143432C213yesmaximal, complemented
7#19143430C213yesmaximal, complemented
8#19143410C213yesmaximal, complemented
9#19143408C213yesmaximal, complemented
10#19143363C213yesmaximal, complemented
11C2×#14582984C213yesmaximal, complemented
12#19143188C211yesmaximal, characteristic, complemented
13#19143122C211yesmaximal, characteristic, complemented
14#131×Dic43C211yesmaximal, characteristic, complemented
15C43×#2898C211yesmaximal, characteristic, complemented
16C2×#13063371C2211yescharacteristic
17#14583707C4116yescomplemented
18C2×#13063356C2213yes—
19C2×#13063350C2213yes—
20C2×#13063345C2213yes—
21C22×#10621884C2213yes—
22C2×#13063332C2211yescharacteristic
23#14583382—23no—
24#14583382C2211yescharacteristic
25#14583382C2213yescomplemented
26#14583381—21no—
27#14583380C2213yes—
28#14583377—21no—
29#14583377C2213yescomplemented
30#14583373C2213yes—
31#14583371—23no—
32#41×Dic43—23no—
33#41×Dic43C2211yescharacteristic
34#41×Dic43C2213yescomplemented
35C4×#10621902—21no—
36#14583367C2213yes—
37C2×Q8×Dic43—21no—
38C2×Q8×Dic43C2213yescomplemented
39C2×#13063287C2213yes—
40C4×D4×D43—23no—
41#14583008C2216yescomplemented
42#14583003C2216yescomplemented
43#14583002C2216yescomplemented
44#14583002C2216yescomplemented
45#14582991C2213yescomplemented
46#14582991C2213yescomplemented
47#14582990C2213yescomplemented
48#14582990C2211yescharacteristic, complemented
49#14582984C2216yescomplemented
50#14582984C2213yescomplemented
51#14582984C2216yescomplemented
52#14582984C2213yescomplemented
53#14582984C2216yescomplemented
54#14582979C2213yescomplemented
55#14582979C2213yescomplemented
56#14582942C2213yescomplemented
57#14582939C2213yescomplemented
58#14582935C2213yescomplemented
59C2×#13063256C2213yescomplemented
60#14582905C2213yes—
61#14582901C2213yes—
62#14582896C2213yes—
63C2×#13063247C2213yes—
64#14582857C2213yescomplemented
65#14582854C2213yescomplemented
66M16×Dic43C2213yescomplemented
67C2×C8×Dic43C2213yescomplemented
68C2×2−1+4×C43C2211yescharacteristic
69C2×#131×C43C2211yescharacteristic
70C43×#520C2211yescharacteristic
71C43×#419C2213yescomplemented
72C43×#417C2213yescomplemented
73C43×#416C2213yescomplemented
74C2×#103×C43C2213yescomplemented
75#13063371—24no—
76#13063371C2×C418yescomplemented
77C2×#10621902—21no—
78C2×#10621898C2313yes—
79C22×D172C2313yes—
80C2×D4×D43—23no—
81C22×C4×D43—23no—
82#13063356C2×C4124yescomplemented
83#13063350C2×C4124yescomplemented
84#13063345C2×C4124yescomplemented
85C2×#10621885C2313yes—
86C2×#10621883C2311yescharacteristic
87C2×#10621884C2×C4124yescomplemented
88C2×#10621884C2313yes—
89C2×#10621884C2316yes—
90C2×#10621882C2313yes—
91#13063332C2×C418yescomplemented
92C2×#10621877C2313yes—
93C22×C43⋊C8C2313yes—
94Q8×Dic43—21no—
95Q8×Dic43—23no—
96Q8×Dic43—23no—
97Q8×Dic43—23no—
98Q8×Dic43—23no—
99Q8×Dic43D411yescharacteristic
100Q8×Dic43D411yescharacteristic
101Q8×Dic43C2313yes—
102Q8×Dic43C2316yes—
103Q8×Dic43C2313yes—
104#13063290C2311yescharacteristic
105#13063290C2313yes—
106C4×D172—23no—
107C4×D172—23no—
108D4×Dic43—23no—
109D4×Dic43—23no—
110D4×Dic43—23no—
111D4×Dic43—26no—
112D4×Dic43D413yes—
113D4×Dic43D413yes—
114D4×Dic43C2311yescharacteristic
115D4×Dic43C2313yes—
116#13063287—23no—
117#13063287—23no—
118#13063287C2313yes—
119#13063287C2316yes—
120#13063287C2313yes—
121C4×C22⋊D43—26no—
122(C22⋊D43)⋊C4—23no—
123(C22⋊D43)⋊C4—23no—
124#13063284—26no—
125#13063284—23no—
126#13063284—23no—
127#13063284C2313yes—
128#13063284C2313yes—
129#13063283—23no—
130#13063282—23no—
131C2×C4⋊Dic43—23no—
132C2×C4⋊Dic43—23no—
133C2×C4⋊Dic43C2313yes—
134C4⋊C4×D43—23no—
135C2×(C2×D43)⋊C4—23no—
136C22⋊C4×D43—26no—
137C2×C4×Dic43—23no—
138C2×C4×Dic43—23no—
139C2×C4×Dic43C2313yes—
140C42×D43—23no—
141#13063258C2313yes—
142#13063258C2313yes—
143#13063256C2313yes—
144#13063256C2316yes—
145#13063256C2311yescharacteristic
146#13063250C2311yescharacteristic
147#13063250C2313yes—
148#13063247C2313yes—
149#13063247C2316yes—
150#13063247C2313yes—
151#13063235C2316yes—
152C8×Dic43C2311yescharacteristic
153C8×Dic43C2313yes—
154C8×Dic43C2313yes—
155C8×Dic43C2313yes—
1562−1+4×C43—24no—
1572−1+4×C43C2×C418yescomplemented
158C2×#41×C43—23no—
159C2×#41×C43C2313yes—
160C2×#41×C43C2311yescharacteristic
161C22×Q8×C43—21no—
162C22×Q8×C43C2313yes—
163#131×C43—24no—
164C2×M16×C43C2313yes—
165C22×C8×C43C2313yes—
166C4×Q8×C43—21no—
167C4×D4×C43—23no—
168#117×C43C2313yes—
169C2×C4⋊C4×C43C2313yes—
170#103×C43C2313yes—
171#103×C43C2316yes—
172#103×C43C2313yes—
173#102×C43C2311yescharacteristic
174#102×C43C2313yes—
175C23×D43—23no—
176#41×C43—224no—
177#41×C43—26no—
178#41×C43C22×C414yes—
179#41×C43C22×C4112yescomplemented
180#41×C43#4114yes—
181C2×Q8×C43—28no—
182C2×Q8×C43—23no—
183C2×Q8×C43—26no—
184C2×Q8×C43C22×C4112yescomplemented
185C2×Q8×C43C2×D411yescharacteristic
186C2×Q8×C43C2413yes—
187C2×D4×C43—23no—
188C2×D4×C43C2×D413yes—
189C2×D4×C43C2411yescharacteristic
190C22×C4×C43—23no—
191C22×C4×C43—23no—
192C22×C4×C43—23no—
193C22×C4×C43C2413yes—
194C2×C22⋊D43—23no—
195C22×Dic43—21no—
196C22×Dic43—23no—
197C22×Dic43—23no—
198C22×Dic43C2×D413yes—
199C22×Dic43C2×D413yes—
200#10621902—28no—
201D4×D43—224no—
202#10621898—26no—
203#10621898C22×C4112yes—
204C2×D172—23no—
205C2×D172—26no—
206C2×D172C22×C4112yes—
207C2×D172C2413yes—
208C2×C4×D43—23no—
209C2×C4×D43—23no—
210C2×C4×D43—23no—
211C2×C4×D43—26no—
212C2×C4×D43—86no—
213C2×Dic86C2411yescharacteristic
214M16×C43—26no—
215C2×C8×C43—26no—
216C2×C8×C43C2411yescharacteristic
217C2×C8×C43C2413yes—
218C4⋊C4×C43—23no—
219C4⋊C4×C43C2413yes—
220C4⋊C4×C43C2411yescharacteristic
221C22⋊C4×C43—23no—
222C42×C43—23no—
223C22⋊Dic43—21no—
224C22⋊Dic43—23no—
225C22⋊Dic43—23no—
226C22⋊Dic43C2×D416yes—
227#10621885C22×C4112yescomplemented
228#10621884C22×C4112yescomplemented
229#10621884C22×C4124yescomplemented
230#10621883C22×C414yescomplemented
231#10621882C22×C4112yescomplemented
232(C2×D43)⋊C4—23no—
233(C2×D43)⋊C4—26no—
234(C2×D43)⋊C4—23no—
235C4⋊Dic43—23no—
236C4⋊Dic43—26no—
237C4⋊Dic43—23no—
238C4⋊Dic43—23no—
239C4⋊Dic43C2×D413yes—
240C4⋊Dic43C2×D413yes—
241C4⋊Dic43C2413yes—
242C4⋊Dic43C2411yescharacteristic
243Dic43⋊C4—23no—
244Dic43⋊C4—21no—
245C4×Dic43—23no—
246C4×Dic43—21no—
247C4×Dic43—23no—
248C4×Dic43—23no—
249C4×Dic43—23no—
250C4×Dic43—26no—
251C4×Dic43C2×D413yes—
252C4×Dic43C2×D413yes—
253C4×Dic43C2411yescharacteristic
254C4×Dic43C2413yes—
255#10621877C22×C4112yescomplemented
256C2×C43⋊C8C22×C4112yescomplemented
257C2×C43⋊C8C2411yescharacteristic
258C2×C43⋊C8C2413yes—
259C23×C43—21no—
260C23×C43C22×D413yes—
261C22×D43—23no—
262C22×D43—212no—
263C22×D43—83no—
264C22×D43—83no—
265Q8×C43—212no—
266Q8×C43—23no—
267Q8×C43C4×D414yes—
268Q8×C43C23×C416yes—
269D4×C43—212no—
270D4×C43—21no—
271D4×C43C4×D4112yes—
272D4×C43C23×C412yes—
273C2×C4×C43—212no—
274C2×C4×C43—23no—
275C2×C4×C43—212no—
276C2×C4×C43—21no—
277C2×C4×C43—23no—
278C2×C4×C43—83no—
279C2×C4×C43C23×C416yes—
280C2×C4×C43C22×D413yes—
281C2×C4×C43C2×#4116yes—
282C2×C4×C43C2511yescharacteristic
283C22⋊D43—212no—
284C2×Dic43—21no—
285C2×Dic43—26no—
286C2×Dic43—21no—
287C2×Dic43—23no—
288C2×Dic43—43no—
289C2×Dic43—42no—
290C2×Dic43—83no—
291C2×Dic43—83no—
292C2×Dic43C22×D413yes—
293C2×Dic43C22×D413yes—
294C2×Dic43C22×D411yescharacteristic
295C2×Dic43C22×D411yescharacteristic
296D172—212no—
297D172—23no—
298D172C23×C416yes—
299C4×D43—212no—
300C4×D43—46no—
301C4×D43—83no—
302C4×D43—86no—
303Dic86—21no—
304Dic86C23×C412yes—
305C8×C43—21no—
306C8×C43—23no—
307C43⋊C8C23×C412yes—
308C43⋊C8C23×C416yes—
309C4×#577—431nomaximal, Sylow
310C22×C43—23no—
311C22×C43—23no—
312C22×C43—22no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43C2×C4×D416yes—
316C22×C43C23×D411yescharacteristic
317C2×D43—26no—
318C2×D43—43no—
319C2×D43—43no—
320C2×D43—812no—
321C4×C43—26no—
322C4×C43—41no—
323C4×C43—43no—
324C4×C43C2×C4×D416yes—
325C4×C43C24×C411yescharacteristic
326C4×C43C22×#4111yescharacteristic
327Dic43—23no—
328Dic43—21no—
329Dic43—22no—
330Dic43—23no—
331Dic43—43no—
332Dic43—41no—
333Dic43#57712yescomplemented
334C2×#577—431no—
335C4×2−1+4—431no—
336C4×H(5,𝔽2)—431no—
337#2952—433no—
338#2949—433no—
339#2947—433no—
340#2946—433no—
341C4×#137—433no—
342C4×AGL(1,ℤ/8)—433no—
343C4×#135—433no—
344C2×C4×SD16—433no—
345#2912—431no—
346#2898D4311yescharacteristic, complemented
347#2897—431no—
348C4×#131—431no—
349C2×C43—26no—
350C2×C43—42no—
351C2×C43C22×C4×D411yescharacteristic
352C2×C43C2×#57711yescharacteristic
353C2×C43#358411yescharacteristic
354D43—46no—
355C2×2−1+4C2×D4311yescharacteristic
356C2×H(5,𝔽2)—431no—
357#577—4316no—
358C2×#137—433no—
359C2×AGL(1,ℤ/8)—433no—
360C2×#135—433no—
361C22×SD16—433no—
362C2×#131—431no—
363C2×#131C2×D4311yescharacteristic
364#520—431no—
365#520—433no—
366#520—433no—
367#520—863no—
368#520—861no—
369#520C2×D4311yescharacteristic
370#519—433no—
371#519—861no—
372#518—433no—
373#518—863no—
374C4×#41—431no—
375C4×#41—433no—
376C4×#41—433no—
377C4×#41—863no—
378C4×#41—861no—
379C2×C4×Q8—433no—
380C2×C4×Q8—861no—
381C2×C4×D4—433no—
382C2×C4×D4—863no—
383#442—436no—
384#441—436no—
385#440—436no—
386#440—436no—
387C4×Q16—433no—
388C4×Q16—433no—
389C4×SD16—433no—
390C4×SD16—436no—
391C4×SD16—436no—
392C4×SD16—436no—
393C4×SD16—433no—
394C4×SD16—431no—
395C4×SD16—433no—
396C4×D8—433no—
397C4×D8—433no—
398#428—433no—
399#428—433no—
400#427—433no—
401C2×#106—433no—
402#419C2×D4313yescomplemented
403#418—433no—
404#417—433no—
405#417C2×D4313yescomplemented
406#416—433no—
407#416C2×D4313yescomplemented
408C2×#103C2×D4313yescomplemented
409C2×#102—433no—
410#405—433no—
411#405—433no—
412C4×M16—433no—
413C2×C4×C8—433no—
414C43C4×#57711yescharacteristic, complemented, Sylow
4152−1+4—24no—
4162−1+4C4×D4318yescomplemented
417H(5,𝔽2)—438no—
418H(5,𝔽2)—864no—
419C2×#41—23no—
420C2×#41—433no—
421C2×#41—861no—
422C2×#41C22×D4313yes—
423C2×#41C22×D4311yescharacteristic
424C22×Q8—21no—
425C22×Q8C22×D4313yes—
426C22×D4—433no—
427C22×D4—863no—
428C23×C4—863no—
429#137—4324no—
430AGL(1,ℤ/8)—4324no—
431#135—4324no—
432C2×Q16—433no—
433C2×SD16—4324no—
434C2×SD16—433no—
435C2×SD16—436no—
436C2×SD16—431no—
437C2×D8—433no—
438#131—24no—
439#131—438no—
440C2×M16—433no—
441C2×M16C22×D4313yes—
442C22×C8—433no—
443C22×C8C22×D4313yes—
444C4×Q8—21no—
445C4×Q8—431no—
446C4×Q8—431no—
447C4×Q8—433no—
448C4×Q8—436no—
449C4×Q8—433no—
450C4×Q8—431no—
451C4×Q8—433no—
452C4×Q8—863no—
453C4×Q8—863no—
454C4×Q8—863no—
455C4×Q8—863no—
456C4×Q8—861no—
457C4×D4—23no—
458C4×D4—433no—
459C4×D4—433no—
460C4×D4—431no—
461C4×D4—433no—
462C4×D4—433no—
463C4×D4—436no—
464C4×D4—433no—
465C4×D4—863no—
466C4×D4—863no—
467C4×D4—863no—
468C4×D4—863no—
469C4×D4—863no—
470C4×D4—863no—
471C4×D4—866no—
472C4×D4—866no—
473C4×D4—863no—
474C4×D4—863no—
475C4×D4—863no—
476#117—433no—
477#117—433no—
478#117—863no—
479#117—863no—
480#117—866no—
481#117—863no—
482#117—863no—
483#117C22×D4313yes—
484C2×C4⋊C4—433no—
485C2×C4⋊C4—863no—
486C2×C4⋊C4—863no—
487C2×C4⋊C4—863no—
488C2×C4⋊C4C22×D4313yes—
489C2×C22⋊C4—866no—
490C2×C22⋊C4—863no—
491C2×C42—433no—
492C2×C42—863no—
493C2×C42—863no—
494C2×C42—863no—
495#107—433no—
496#107—433no—
497#106—433no—
498#106—436no—
499#106—431no—
500#103—431no—
501#103—433no—
502#103C22×D4313yes—
503#103C22×D4316yes—
504#103C22×D4313yes—
505#102—433no—
506#102—436no—
507#102—433no—
508#102C22×D4311yescharacteristic
509#102C22×D4313yes—
510#97—436no—
511C4×C8—431no—
512C4×C8—433no—
513C4×C8—433no—
514C4×C8—433no—
515C24—863no—
516#41—224no—
517#41—26no—
518#41—4312no—
519#41—868no—
520#41—866no—
521#41C2×C4×D4314yes—
522#41C2×C4×D43112yescomplemented
523#41#1062190014yes—
524C2×Q8—28no—
525C2×Q8—23no—
526C2×Q8—26no—
527C2×Q8—431no—
528C2×Q8C2×C4×D43112yescomplemented
529C2×Q8D4×D4311yescharacteristic
530C2×Q8C23×D4313yes—
531C2×D4—23no—
532C2×D4—4312no—
533C2×D4—433no—
534C2×D4—863no—
535C2×D4—8624no—
536C2×D4—863no—
537C2×D4—866no—
538C2×D4D4×D4313yes—
539C2×D4C23×D4311yescharacteristic
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—23no—
543C22×C4—433no—
544C22×C4—433no—
545C22×C4—863no—
546C22×C4—866no—
547C22×C4—863no—
548C22×C4—863no—
549C22×C4—861no—
550C22×C4—863no—
551C22×C4—863no—
552C22×C4—3446no—
553C22×C4C23×D4313yes—
554Q16—4312no—
555SD16—4312no—
556SD16—4324no—
557SD16—434no—
558D8—4312no—
559M16—26no—
560M16—4312no—
561C2×C8—26no—
562C2×C8—4312no—
563C2×C8—431no—
564C2×C8—433no—
565C2×C8C23×D4311yescharacteristic
566C2×C8C23×D4313yes—
567C4⋊C4—23no—
568C4⋊C4—433no—
569C4⋊C4—433no—
570C4⋊C4—433no—
571C4⋊C4—431no—
572C4⋊C4—863no—
573C4⋊C4—863no—
574C4⋊C4—866no—
575C4⋊C4—861no—
576C4⋊C4—863no—
577C4⋊C4—863no—
578C4⋊C4C23×D4313yes—
579C4⋊C4C23×D4311yescharacteristic
580C22⋊C4—23no—
581C22⋊C4—436no—
582C22⋊C4—863no—
583C22⋊C4—863no—
584C22⋊C4—866no—
585C22⋊C4—861no—
586C22⋊C4—863no—
587C22⋊C4—863no—
588C42—23no—
589C42—433no—
590C42—433no—
591C42—431no—
592C42—433no—
593C42—861no—
594C42—863no—
595C42—863no—
596C42—863no—
597C42—866no—
598C42—863no—
599C23—21no—
600C23—8612no—
601C23—863no—
602C23—3443no—
603C23—3443no—
604C23C2×D4×D4313yes—
605Q8—212no—
606Q8—23no—
607Q8—432no—
608Q8—861no—
609Q8(C22⋊D43)⋊C414yes—
610Q8C22×C4×D4316yes—
611D4—212no—
612D4—21no—
613D4—436no—
614D4—8612no—
615D4—8612no—
616D4—863no—
617D4(C22⋊D43)⋊C4112yes—
618D4C22×C4×D4312yes—
619C2×C4—212no—
620C2×C4—23no—
621C2×C4—212no—
622C2×C4—21no—
623C2×C4—23no—
624C2×C4—83no—
625C2×C4—431no—
626C2×C4—431no—
627C2×C4—433no—
628C2×C4—433no—
629C2×C4—866no—
630C2×C4—861no—
631C2×C4—8612no—
632C2×C4—861no—
633C2×C4—863no—
634C2×C4—3446no—
635C2×C4—3443no—
636C2×C4—3443no—
637C2×C4—3443no—
638C2×C4—1726no—
639C2×C4—1722no—
640C2×C4—1723no—
641C2×C4C22×C4×D4316yes—
642C2×C4C2×D4×D4313yes—
643C2×C4C2×#1062190016yes—
644C2×C4C24×D4311yescharacteristic
645C8—21no—
646C8—23no—
647C8—432no—
648C8—436no—
649C22—23no—
650C22—23no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—866no—
655C22—34412no—
656C22—1723no—
657C22—1723no—
658C22C2×(C22⋊D43)⋊C416yes—
659C22C22×D4×D4311yescharacteristic
660C4—26no—
661C4—43no—
662C4—41no—
663C4—432no—
664C4—863no—
665C4—863no—
666C4—861no—
667C4—862no—
668C4—1721no—
669C4—1723no—
670C4C2×(C22⋊D43)⋊C416yes—
671C4C23×C4×D4311yescharacteristic
672C4C22×#1062190011yescharacteristic
673C2—26no—
674C2—42no—
675C2—1726no—
676C2C22×(C22⋊D43)⋊C411yescharacteristic
677C2#577×D4311yescharacteristic
678C2#1914936511yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC43×#2898C2
socleC22×C43C23×D4
prime radicalC2×#14583707C2
cosocleC2×C4×C43C25
hypercenter#2898D43
hypocenterC43C4×#577
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ #2898

Complements

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

NH ≅ G/Ntype
2. 2−1+4×Dic43C2semidirect
3. #19147801C2semidirect
4. #19143474C2semidirect
5. #19143450C2semidirect
6. #19143432C2semidirect
7. #19143430C2semidirect
8. #19143410C2semidirect
9. #19143408C2semidirect
10. #19143363C2semidirect
11. C2×#14582984C2semidirect
12. #19143188C2semidirect
13. #19143122C2semidirect
14. #131×Dic43C2semidirect
15. C43×#2898C2semidirect
17. #14583707C4semidirect
25. #14583382C22semidirect
29. #14583377C22semidirect
34. #41×Dic43C22semidirect
38. C2×Q8×Dic43C22semidirect
41. #14583008C22semidirect
42. #14583003C22semidirect
43. #14583002C22semidirect
44. #14583002C22semidirect
45. #14582991C22semidirect
46. #14582991C22semidirect
47. #14582990C22semidirect
48. #14582990C22semidirect
49. #14582984C22semidirect
50. #14582984C22semidirect
51. #14582984C22semidirect
52. #14582984C22semidirect
53. #14582984C22semidirect
54. #14582979C22semidirect
55. #14582979C22semidirect
56. #14582942C22semidirect
57. #14582939C22semidirect
58. #14582935C22semidirect
59. C2×#13063256C22semidirect
64. #14582857C22semidirect
65. #14582854C22semidirect
66. M16×Dic43C22semidirect
67. C2×C8×Dic43C22semidirect
71. C43×#419C22semidirect
72. C43×#417C22semidirect
73. C43×#416C22semidirect
74. C2×#103×C43C22semidirect
76. #13063371C2×C4semidirect
82. #13063356C2×C4semidirect
83. #13063350C2×C4semidirect
84. #13063345C2×C4semidirect
87. C2×#10621884C2×C4semidirect
91. #13063332C2×C4semidirect
157. 2−1+4×C43C2×C4semidirect
179. #41×C43C22×C4semidirect
184. C2×Q8×C43C22×C4semidirect
227. #10621885C22×C4semidirect
228. #10621884C22×C4semidirect
229. #10621884C22×C4semidirect
230. #10621883C22×C4semidirect
231. #10621882C22×C4semidirect
255. #10621877C22×C4semidirect
256. C2×C43⋊C8C22×C4semidirect
333. Dic43#577semidirect
346. #2898D43semidirect
402. #419C2×D43semidirect
405. #417C2×D43semidirect
407. #416C2×D43semidirect
408. C2×#103C2×D43semidirect
414. C43C4×#577semidirect
416. 2−1+4C4×D43semidirect
522. #41C2×C4×D43semidirect
528. C2×Q8C2×C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145837072
2−1+4×Dic432
#191478012
#191434742
#191434502
#191434322
#191434302
#191434102
#191434082
#191433632
C2×#145829842
#191431882
#191431222
#131×Dic432
C43×#28982
C4×#57743