Finite Group Databasebeta

← #25966154

Subgroups — #25966154

Order 11008.

3178 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583714C211yesmaximal, characteristic, complemented
2C2×#14583710C211yesmaximal, characteristic, complemented
3C2×#14583707C211yesmaximal, characteristic, complemented
4C2×#14583702C211yesmaximal, characteristic, complemented
5#19148388C211yesmaximal, characteristic, complemented
6#19145086C213yesmaximal, complemented
7#19145078C213yesmaximal, complemented
8#19145073C213yesmaximal, complemented
9#19145067C213yesmaximal, complemented
10#19145063C213yesmaximal, complemented
11#19145059C213yesmaximal, complemented
12#19145021C213yesmaximal, complemented
13C2×#14583281C213yesmaximal, complemented
14C4×#13063332C211yesmaximal, characteristic, complemented
15C43×#3500C211yesmaximal, characteristic, complemented
16C2×#13063372C2211yescharacteristic
17C2×#13063371C2211yescharacteristic
18#14583714—28no—
19#14583710—28no—
20#14583707—28no—
21#14583702—28no—
22C2×#13063356C2213yescomplemented
23C2×#13063356C2213yescomplemented
24C2×#13063355C2213yescomplemented
25C2×#13063355C2213yescomplemented
26C2×#13063351C2213yes—
27C2×#13063351C2213yescomplemented
28C2×#13063350C2213yes—
29C2×#13063350C2213yescomplemented
30C2×#13063345C2213yes—
31C2×#13063345C2213yescomplemented
32C2×#13063345C2213yescomplemented
33C2×#13063345C2213yescomplemented
34C22×#10621885C2213yescomplemented
35C22×#10621883C2213yescomplemented
36C22×#10621884C2213yescomplemented
37C22×#10621882C2213yes—
38C2×#13063332C2211yescharacteristic
39C2×#13063332C2211yescharacteristic
40#14583561—22no—
41#14583544—26no—
42#14583475C2213yescomplemented
43#14583468C2213yescomplemented
44#14583449C2213yescomplemented
45C2×#13063313C2213yescomplemented
46#14583294C2216yescomplemented
47#14583291C2216yescomplemented
48#14583289C2216yescomplemented
49#14583286C2216yescomplemented
50#14583281C2213yescomplemented
51#14583281C2216yescomplemented
52#14583281C2216yescomplemented
53#14583281C2216yescomplemented
54#14583281C2211yescharacteristic, complemented
55#14583281C2213yescomplemented
56#14583281C2213yescomplemented
57#14583278C2213yescomplemented
58#14583275C2213yescomplemented
59#14583273C2213yescomplemented
60#14583271C2213yescomplemented
61#14582855C2213yescomplemented
62#14582855C2213yescomplemented
63C4×#10621877C2213yescomplemented
64C2×C4×C43⋊C8C2213yescomplemented
65C2×2−1+4×C43C2211yescharacteristic
66C2×H(5,𝔽2)×C43C2211yescharacteristic
67C43×#548—22no—
68C43×#546—26no—
69C43×#536C2213yescomplemented
70C43×#535C2213yescomplemented
71C43×#532C2213yescomplemented
72C2×#124×C43C2213yescomplemented
73C4×#41×C43C2211yescharacteristic
74#13063372—24no—
75#13063372—24no—
76#13063371—24no—
77#13063371—24no—
78C2×#10621902—21no—
79C2×#10621898C2313yes—
80C2×#10621898C2313yes—
81C2×#10621900—23no—
82C22×Dic86C2313yes—
83C2×Q8×D43—21no—
84C22×D172C2313yes—
85C2×D4×D43—23no—
86#13063356—212no—
87#13063356—212no—
88#13063355—212no—
89#13063355—212no—
90#13063351—212no—
91#13063351—212no—
92#13063350—212no—
93#13063350—212no—
94#13063345—212no—
95#13063345—212no—
96#13063345—212no—
97#13063345—212no—
98C2×#10621885—212no—
99C2×#10621885C2313yes—
100C2×#10621885C2316yes—
101C2×#10621885C2311yescharacteristic
102C2×#10621885C2313yes—
103C2×#10621885C2313yes—
104C2×#10621883—212no—
105C2×#10621883C2313yes—
106C2×#10621883C2316yes—
107C2×#10621883C2313yes—
108C2×#10621883C2311yescharacteristic
109C2×#10621883C2313yes—
110C2×#10621884—212no—
111C2×#10621884C2313yes—
112C2×#10621884C2316yes—
113C2×#10621884C2313yes—
114C2×#10621884C2311yescharacteristic
115C2×#10621884C2313yes—
116C2×#10621882—212no—
117C2×#10621882C2313yes—
118C2×#10621882C2316yes—
119C2×#10621882C2311yescharacteristic
120C2×#10621882C2313yes—
121C2×#10621882C2313yes—
122#13063332D418yescomplemented
123#13063332D418yescomplemented
124C2×#10621877C2313yes—
125C2×#10621877C2313yes—
126C22×C43⋊C8C2313yes—
127C22×C43⋊C8C2313yes—
128#13063325C2313yes—
129#13063322C2313yes—
130#13063313—26no—
131#13063313C2313yes—
132#13063313C2316yes—
133#13063313C2311yescharacteristic
134#13063309—26no—
135#13063305—26no—
136#13063300—26no—
137#13063299—26no—
138#13063295—26no—
139C4×D172—26no—
140C2×(C2×D43)⋊C4—26no—
141#13063236C2316yes—
142C4×C43⋊C8C2311yescharacteristic
143C4×C43⋊C8C2313yes—
144C4×C43⋊C8C2313yes—
145C4×C43⋊C8C2313yes—
1462−1+4×C43—24no—
1472−1+4×C43—24no—
148H(5,𝔽2)×C43—24no—
149H(5,𝔽2)×C43—24no—
150C2×#41×C43—21no—
151C2×#41×C43—23no—
152C2×#41×C43C2313yes—
153C2×#41×C43C2313yes—
154C2×#41×C43C2311yescharacteristic
155C22×Q8×C43—21no—
156C22×Q8×C43C2313yes—
157C22×D4×C43—23no—
158C22×D4×C43C2313yes—
159C4⋊Q8×C43C2313yes—
160#127×C43C2313yes—
161#124×C43—26no—
162#124×C43C2313yes—
163#124×C43C2316yes—
164#124×C43C2311yescharacteristic
165#123×C43—26no—
166C22⋊Q8×C43—26no—
167#121×C43—26no—
168#121×C43—26no—
169#120×C43—26no—
170C4×Q8×C43D412yes—
171C4×D4×C43—26no—
172C4×D4×C43D416yes—
173#117×C43C2313yes—
174C2×C22⋊C4×C43—26no—
175C2×C42×C43C2313yes—
176C24×C43—23no—
177C23×D43—23no—
178#41×C43—26no—
179#41×C43—26no—
180#41×C43—26no—
181#41×C43—26no—
182#41×C43—44no—
183#41×C43—412no—
184#41×C43C2×D414yes—
185#41×C43C2×D414yes—
186C2×Q8×C43—23no—
187C2×Q8×C43—26no—
188C2×Q8×C43—26no—
189C2×Q8×C43—44no—
190C2×Q8×C43C2×D411yescharacteristic
191C2×Q8×C43C2413yes—
192C2×Q8×C43C2411yescharacteristic
193C2×D4×C43—23no—
194C2×D4×C43—26no—
195C2×D4×C43—23no—
196C2×D4×C43—23no—
197C2×D4×C43—26no—
198C2×D4×C43—26no—
199C2×D4×C43—412no—
200C2×D4×C43C2×D413yes—
201C2×D4×C43C2413yes—
202C2×D4×C43C2411yescharacteristic
203C22×C4×C43—23no—
204C22×C4×C43—23no—
205C22×C4×C43—23no—
206C22×C4×C43C2×D416yes—
207C22×C4×C43C2413yes—
208C2×C22⋊D43—23no—
209C2×C22⋊D43—23no—
210C22×Dic43—23no—
211#10621902—44no—
212Q8×D43—44no—
213#10621900—412no—
214D4×D43—412no—
215#10621898—26no—
216#10621898—26no—
217#10621898—26no—
218#10621898—26no—
219C2×D172—23no—
220C2×D172—26no—
221C2×D172—26no—
222C2×D172—26no—
223C2×D172C2413yes—
224C2×D172C2411yescharacteristic
225C2×C4×D43—23no—
226C2×C4×D43—23no—
227C2×Dic86—26no—
228C2×Dic86—26no—
229C2×Dic86—23no—
230C2×Dic86C2413yes—
231C2×Dic86C2411yescharacteristic
232C4⋊C4×C43—26no—
233C4⋊C4×C43C2×D416yes—
234C22⋊C4×C43—26no—
235C22⋊C4×C43—212no—
236C22⋊C4×C43—22no—
237C22⋊C4×C43C2×D416yes—
238C42×C43C2×D416yes—
239C42×C43C2411yescharacteristic
240C42×C43C2413yes—
241#10621885—26no—
242#10621885—212no—
243#10621885—22no—
244#10621885—26no—
245#10621885—26no—
246#10621884—26no—
247#10621884—212no—
248#10621884—22no—
249#10621884—26no—
250#10621884—26no—
251#10621883—26no—
252#10621883—212no—
253#10621883—22no—
254#10621883—26no—
255#10621883—26no—
256#10621882—26no—
257#10621882—212no—
258#10621882—22no—
259#10621882—26no—
260#10621882—26no—
261(C2×D43)⋊C4—26no—
262(C2×D43)⋊C4—212no—
263(C2×D43)⋊C4—22no—
264C4⋊Dic43—26no—
265#10621877C2×D4112yes—
266#10621877C2×D4112yes—
267C2×C43⋊C8C2×D4112yes—
268C2×C43⋊C8C2×D4112yes—
269C2×C43⋊C8C2411yescharacteristic
270C2×C43⋊C8C2411yescharacteristic
271C2×C43⋊C8C2413yes—
272C2×C43⋊C8C2413yes—
273C23×C43—23no—
274C23×C43—21no—
275C23×C43—46no—
276C23×C43—86no—
277C23×C43C22×D413yes—
278C22×D43—23no—
279C22×D43—21no—
280C22×D43—46no—
281C22×D43—86no—
282Q8×C43—23no—
283Q8×C43—21no—
284Q8×C43—23no—
285Q8×C43—21no—
286Q8×C43—46no—
287Q8×C43#12714yes—
288D4×C43—23no—
289D4×C43—21no—
290D4×C43—23no—
291D4×C43—21no—
292D4×C43—46no—
293D4×C43—46no—
294D4×C43—46no—
295D4×C43—86no—
296D4×C43#127112yes—
297C2×C4×C43—23no—
298C2×C4×C43—21no—
299C2×C4×C43—46no—
300C2×C4×C43—46no—
301C2×C4×C43—46no—
302C2×C4×C43—46no—
303C2×C4×C43C22×D416yes—
304C2×C4×C43C22×D416yes—
305C2×C4×C43C22×D416yes—
306C2×C4×C43C22×D412yes—
307C2×C4×C43C22×D413yes—
308C2×C4×C43C2511yescharacteristic
309C22⋊D43—46no—
310C22⋊D43—46no—
311C2×Dic43—21no—
312C2×Dic43—23no—
313C2×Dic43—46no—
314D172—23no—
315D172—21no—
316D172—23no—
317D172—21no—
318D172—46no—
319D172—86no—
320C4×D43—46no—
321C4×D43—46no—
322Dic86—23no—
323Dic86—21no—
324Dic86—23no—
325Dic86—21no—
326Dic86—46no—
327C43⋊C8C22×D412yes—
328C43⋊C8C22×D412yes—
329C43⋊C8C22×D416yes—
330C43⋊C8C22×D416yes—
331#60649—431nomaximal, Sylow
332C22×C43—26no—
333C22×C43—46no—
334C22×C43—42no—
335C22×C43—43no—
336C22×C43—41no—
337C22×C43—166no—
338C22×C43C2×#12716yes—
339C22×C43C23×D411yescharacteristic
340C2×D43—46no—
341C2×D43—42no—
342C2×D43—43no—
343C2×D43—41no—
344C2×D43—166no—
345C4×C43—26no—
346C4×C43—22no—
347C4×C43—41no—
348C4×C43—43no—
349C4×C43C2×#12716yes—
350C4×C43C23×D411yescharacteristic
351C4×C43C23×D411yescharacteristic
352Dic43—43no—
353Dic43—41no—
354C2×#578—431no—
355C2×#577—431no—
356C2×#577—431no—
357C2×#576—431no—
358#3500—431no—
359#3500D4311yescharacteristic, complemented
360#3156—433no—
361#3155—433no—
362#3154—433no—
363#3154—433no—
364#3153—433no—
365#3153—433no—
366#3147—433no—
367C2×#495—433no—
368C4×#131—431no—
369C2×C43—26no—
370C2×C43—81no—
371C2×C43—83no—
372C2×C43C22×#12711yescharacteristic
373C2×C43#358412yes—
374D43—81no—
375D43—83no—
376C2×2−1+4—431no—
377C2×2−1+4C2×D4311yescharacteristic
378C2×H(5,𝔽2)—431no—
379C2×H(5,𝔽2)C2×D4311yescharacteristic
380#578—868no—
381#577—868no—
382#577—868no—
383#576—868no—
384C2×#137—433no—
385C2×#137—433no—
386C2×#137—433no—
387C2×#137—433no—
388C2×AGL(1,ℤ/8)—433no—
389C2×AGL(1,ℤ/8)—433no—
390C2×AGL(1,ℤ/8)—433no—
391C2×AGL(1,ℤ/8)—433no—
392C2×#135—433no—
393C2×#135—433no—
394C2×#135—433no—
395C2×#135—433no—
396C22×Q16—433no—
397C22×SD16—433no—
398C22×SD16—433no—
399C22×D8—433no—
400C2×#131—431no—
401C2×#131—431no—
402#548—22no—
403#548—862no—
404#546—26no—
405#546—866no—
406#536—433no—
407#536C2×D4313yescomplemented
408#535—433no—
409#535C2×D4313yescomplemented
410#532—433no—
411#532C2×D4313yescomplemented
412C2×#124—433no—
413C2×#124C2×D4313yescomplemented
414C4×#41C2×D4311yescharacteristic
415#497—436no—
416#497—436no—
417#496—436no—
418#496—436no—
419#495—433no—
420#495—436no—
421#495—436no—
422#495—436no—
423#495—431no—
424#495—433no—
425#495—433no—
426#494—433no—
427#493—433no—
428#492—433no—
429#492—433no—
430#405—433no—
431#405—433no—
432C4×M16—433no—
433C2×C4×C8—433no—
434C43#6064911yescharacteristic, complemented, Sylow
4352−1+4—24no—
4362−1+4—24no—
4372−1+4—864no—
4382−1+4—864no—
439H(5,𝔽2)—24no—
440H(5,𝔽2)—24no—
441H(5,𝔽2)—864no—
442H(5,𝔽2)—864no—
443C2×#41—21no—
444C2×#41—23no—
445C2×#41—433no—
446C2×#41—433no—
447C2×#41—861no—
448C2×#41—863no—
449C2×#41C22×D4313yes—
450C2×#41C22×D4313yes—
451C2×#41C22×D4311yescharacteristic
452C22×Q8—21no—
453C22×Q8—433no—
454C22×Q8—861no—
455C22×Q8C22×D4313yes—
456C22×D4—23no—
457C22×D4—433no—
458C22×D4—863no—
459C22×D4C22×D4313yes—
460#137—8612no—
461#137—8612no—
462#137—8612no—
463#137—8612no—
464AGL(1,ℤ/8)—8612no—
465AGL(1,ℤ/8)—8612no—
466AGL(1,ℤ/8)—8612no—
467AGL(1,ℤ/8)—8612no—
468#135—8612no—
469#135—8612no—
470#135—8612no—
471#135—8612no—
472C2×Q16—433no—
473C2×Q16—436no—
474C2×Q16—431no—
475C2×Q16—433no—
476C2×Q16—433no—
477C2×Q16—8612no—
478C2×SD16—433no—
479C2×SD16—436no—
480C2×SD16—431no—
481C2×SD16—433no—
482C2×SD16—433no—
483C2×SD16—433no—
484C2×SD16—436no—
485C2×SD16—431no—
486C2×SD16—433no—
487C2×SD16—433no—
488C2×SD16—8612no—
489C2×SD16—8612no—
490C2×D8—433no—
491C2×D8—436no—
492C2×D8—431no—
493C2×D8—433no—
494C2×D8—433no—
495C2×D8—8612no—
496#131—438no—
497#131—438no—
498C2×M16—433no—
499C2×M16—433no—
500C22×C8—433no—
501C22×C8—433no—
502C4⋊Q8—433no—
503C4⋊Q8C22×D4313yes—
504#127—433no—
505#127C22×D4313yes—
506#124—26no—
507#124—433no—
508#124—436no—
509#124—431no—
510#124—866no—
511#124C22×D4313yes—
512#124C22×D4316yes—
513#124C22×D4311yescharacteristic
514#123—26no—
515#123—866no—
516C22⋊Q8—26no—
517C22⋊Q8—866no—
518#121—26no—
519#121—26no—
520#121—866no—
521#121—866no—
522#120—26no—
523#120—866no—
524C4×Q8C22⋊D4312yes—
525C4×D4—26no—
526C4×D4—866no—
527C4×D4C22⋊D4316yes—
528#117C22×D4313yes—
529C2×C22⋊C4—26no—
530C2×C22⋊C4—866no—
531C2×C42C22×D4313yes—
532#97—436no—
533C4×C8—431no—
534C4×C8—433no—
535C4×C8—433no—
536C4×C8—433no—
537C24—23no—
538C24—863no—
539#41—26no—
540#41—26no—
541#41—26no—
542#41—26no—
543#41—44no—
544#41—412no—
545#41—866no—
546#41—866no—
547#41—866no—
548#41—866no—
549#41—1724no—
550#41—17212no—
551#41D4×D4314yes—
552#41D4×D4314yes—
553C2×Q8—23no—
554C2×Q8—26no—
555C2×Q8—26no—
556C2×Q8—44no—
557C2×Q8—433no—
558C2×Q8—431no—
559C2×Q8—863no—
560C2×Q8—866no—
561C2×Q8—866no—
562C2×Q8—1724no—
563C2×Q8C2×C22⋊D4311yescharacteristic
564C2×Q8C23×D4313yes—
565C2×Q8C23×D4311yescharacteristic
566C2×D4—23no—
567C2×D4—23no—
568C2×D4—26no—
569C2×D4—26no—
570C2×D4—23no—
571C2×D4—26no—
572C2×D4—412no—
573C2×D4—433no—
574C2×D4—431no—
575C2×D4—863no—
576C2×D4—863no—
577C2×D4—866no—
578C2×D4—866no—
579C2×D4—866no—
580C2×D4—863no—
581C2×D4—17212no—
582C2×D4C2×C22⋊D4313yes—
583C2×D4C23×D4313yes—
584C2×D4C23×D4311yescharacteristic
585C22×C4—23no—
586C22×C4—23no—
587C22×C4—23no—
588C22×C4—863no—
589C22×C4—863no—
590C22×C4—863no—
591C22×C4C2×C22⋊D4316yes—
592C22×C4C23×D4313yes—
593Q16—866no—
594Q16—8612no—
595Q16—862no—
596Q16—866no—
597Q16—866no—
598SD16—866no—
599SD16—8612no—
600SD16—862no—
601SD16—866no—
602SD16—866no—
603SD16—866no—
604SD16—8612no—
605SD16—862no—
606SD16—866no—
607SD16—866no—
608D8—866no—
609D8—8612no—
610D8—862no—
611D8—866no—
612D8—866no—
613M16—4312no—
614M16—4312no—
615C2×C8—4312no—
616C2×C8—4312no—
617C2×C8—431no—
618C2×C8—431no—
619C2×C8—433no—
620C2×C8—433no—
621C4⋊C4—26no—
622C4⋊C4—866no—
623C4⋊C4C2×C22⋊D4316yes—
624C22⋊C4—26no—
625C22⋊C4—212no—
626C22⋊C4—22no—
627C22⋊C4—866no—
628C22⋊C4—8612no—
629C22⋊C4—862no—
630C22⋊C4C2×C22⋊D4316yes—
631C42C2×C22⋊D4316yes—
632C42C23×D4311yescharacteristic
633C42C23×D4313yes—
634C23—23no—
635C23—21no—
636C23—46no—
637C23—86no—
638C23—863no—
639C23—861no—
640C23—3446no—
641C23—1726no—
642C23C22×C22⋊D4313yes—
643Q8—23no—
644Q8—21no—
645Q8—23no—
646Q8—21no—
647Q8—46no—
648Q8—863no—
649Q8—861no—
650Q8—863no—
651Q8—861no—
652Q8—1726no—
653Q8#1306332114yes—
654D4—23no—
655D4—21no—
656D4—23no—
657D4—21no—
658D4—46no—
659D4—46no—
660D4—46no—
661D4—86no—
662D4—863no—
663D4—861no—
664D4—863no—
665D4—861no—
666D4—3446no—
667D4—1726no—
668D4—1726no—
669D4—1726no—
670D4#13063321112yes—
671C2×C4—23no—
672C2×C4—21no—
673C2×C4—46no—
674C2×C4—46no—
675C2×C4—46no—
676C2×C4—46no—
677C2×C4—863no—
678C2×C4—861no—
679C2×C4—1726no—
680C2×C4—1726no—
681C2×C4—1726no—
682C2×C4C2×D4×D4316yes—
683C2×C4C2×D4×D4316yes—
684C2×C4C22×C22⋊D4312yes—
685C2×C4C22×C22⋊D4316yes—
686C2×C4C22×C22⋊D4313yes—
687C2×C4C24×D4311yescharacteristic
688C8—432no—
689C8—432no—
690C8—436no—
691C8—436no—
692C22—26no—
693C22—42no—
694C22—46no—
695C22—41no—
696C22—43no—
697C22—166no—
698C22—1722no—
699C22—1726no—
700C22—1721no—
701C22—1723no—
702C22—6886no—
703C22C2×#1306332116yes—
704C22C23×C22⋊D4311yescharacteristic
705C4—22no—
706C4—26no—
707C4—41no—
708C4—43no—
709C4—1721no—
710C4—1723no—
711C4C2×#1306332116yes—
712C4C22×D4×D4311yescharacteristic
713C4C22×D4×D4311yescharacteristic
714C2—26no—
715C2—83no—
716C2—81no—
717C2—3443no—
718C2—3441no—
719C2C22×#1306332111yescharacteristic
720C2#1914936612yes—
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3500C2
socleC22×C43C23×D4
hypercenter#3500D43
hypocenterC43#60649
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. C2×#14583714C2semidirect
2. C2×#14583710C2semidirect
3. C2×#14583707C2semidirect
4. C2×#14583702C2semidirect
5. #19148388C2semidirect
6. #19145086C2semidirect
7. #19145078C2semidirect
8. #19145073C2semidirect
9. #19145067C2semidirect
10. #19145063C2semidirect
11. #19145059C2semidirect
12. #19145021C2semidirect
13. C2×#14583281C2semidirect
14. C4×#13063332C2semidirect
15. C43×#3500C2semidirect
22. C2×#13063356C22semidirect
23. C2×#13063356C22semidirect
24. C2×#13063355C22semidirect
25. C2×#13063355C22semidirect
27. C2×#13063351C22semidirect
29. C2×#13063350C22semidirect
31. C2×#13063345C22semidirect
32. C2×#13063345C22semidirect
33. C2×#13063345C22semidirect
34. C22×#10621885C22semidirect
35. C22×#10621883C22semidirect
36. C22×#10621884C22semidirect
42. #14583475C22semidirect
43. #14583468C22semidirect
44. #14583449C22semidirect
45. C2×#13063313C22semidirect
46. #14583294C22semidirect
47. #14583291C22semidirect
48. #14583289C22semidirect
49. #14583286C22semidirect
50. #14583281C22semidirect
51. #14583281C22semidirect
52. #14583281C22semidirect
53. #14583281C22semidirect
54. #14583281C22semidirect
55. #14583281C22semidirect
56. #14583281C22semidirect
57. #14583278C22semidirect
58. #14583275C22semidirect
59. #14583273C22semidirect
60. #14583271C22semidirect
61. #14582855C22semidirect
62. #14582855C22semidirect
63. C4×#10621877C22semidirect
64. C2×C4×C43⋊C8C22semidirect
69. C43×#536C22semidirect
70. C43×#535C22semidirect
71. C43×#532C22semidirect
72. C2×#124×C43C22semidirect
122. #13063332D4semidirect
123. #13063332D4semidirect
359. #3500D43semidirect
407. #536C2×D43semidirect
409. #535C2×D43semidirect
411. #532C2×D43semidirect
413. C2×#124C2×D43semidirect
434. C43#60649semidirect

Maximal subgroups

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

subgroupindex
C2×#145837142
C2×#145837102
C2×#145837072
C2×#145837022
#191483882
#191450862
#191450782
#191450732
#191450672
#191450632
#191450592
#191450212
C2×#145832812
C4×#130633322
C43×#35002
#6064943