Finite Group Databasebeta

← #25966152

Subgroups — #25966152

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×#14583711C211yesmaximal, characteristic, complemented
3C2×#14583702C211yesmaximal, characteristic, complemented
4#19148389C211yesmaximal, characteristic, complemented
5#19148383C211yesmaximal, characteristic, complemented
6#19145088C213yesmaximal, complemented
7#19145080C213yesmaximal, complemented
8#19145072C213yesmaximal, complemented
9#19145065C213yesmaximal, complemented
10#19145062C213yesmaximal, complemented
11#19145057C213yesmaximal, complemented
12#19145019C213yesmaximal, complemented
13C2×#14583280C213yesmaximal, complemented
14#131×Dic43C211yesmaximal, characteristic, complemented
15C2×C43×#577C211yesmaximal, characteristic, complemented
16C2×#13063372C2211yescharacteristic
17C2×#13063371C2211yescharacteristic
18#14583714—28no—
19#14583711—28no—
20#14583702—28no—
21C2×#13063358C2213yescomplemented
22C2×#13063356C2213yescomplemented
23C2×#13063355C2213yescomplemented
24C2×#13063353C2213yescomplemented
25C2×#13063351C2213yes—
26C2×#13063350C2213yes—
27C2×#13063347C2213yescomplemented
28C2×#13063345C2213yes—
29C2×#13063345C2213yescomplemented
30C22×#10621885C2213yescomplemented
31C22×#10621873C2213yescomplemented
32C22×#10621882C2213yes—
33C2×#13063332C2211yescharacteristic
34#14583560—22no—
35#14583556—22no—
36#14583543—26no—
37#14583537—26no—
38#14583473C2213yescomplemented
39#14583470C2213yescomplemented
40#14583466C2213yescomplemented
41#14583463C2213yescomplemented
42#14583445C2213yescomplemented
43#14583445C2213yescomplemented
44C2×#13063314C2213yescomplemented
45C2×#13063312C2213yescomplemented
46#41×Dic43C2211yescharacteristic
47#14583292C2216yescomplemented
48#14583290C2216yescomplemented
49#14583287C2216yescomplemented
50#14583285C2216yescomplemented
51#14583284C2213yescomplemented
52#14583282C2213yescomplemented
53#14583280C2213yescomplemented
54#14583280C2216yescomplemented
55#14583280C2216yescomplemented
56#14583280C2216yescomplemented
57#14583280C2211yescharacteristic, complemented
58#14583277C2213yescomplemented
59#14583274C2213yescomplemented
60#14583270C2213yescomplemented
61#14583270C2213yescomplemented
62#14582857C2213yescomplemented
63#14582854C2213yescomplemented
64M16×Dic43C2213yescomplemented
65C2×C8×Dic43C2213yescomplemented
66C2×2−1+4×C43C2211yescharacteristic
67C2×H(5,𝔽2)×C43C2211yescharacteristic
68C43×#577—28no—
69C2×#137×C43C2213yescomplemented
70C2×AGL(1,ℤ/8)×C43C2213yescomplemented
71C2×#135×C43C2213yescomplemented
72C22×SD16×C43C2213yescomplemented
73C2×#131×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#13063358—212no—
87#13063356—212no—
88#13063355—212no—
89#13063353—212no—
90#13063351—212no—
91#13063350—212no—
92#13063347—212no—
93#13063345—212no—
94#13063345—212no—
95C2×Dic172C2313yes—
96C2×#10621885—212no—
97C2×#10621885C2313yes—
98C2×#10621885C2316yes—
99C2×#10621885C2311yescharacteristic
100C2×#10621873—212no—
101C2×#10621873C2313yes—
102C2×#10621873C2316yes—
103C2×#10621873C2311yescharacteristic
104C2×#10621883C2313yes—
105C2×#10621883C2313yes—
106C2×#10621884C2313yes—
107C2×#10621884C2313yes—
108C2×D344C2313yes—
109C2×#10621882—212no—
110C2×#10621882C2313yes—
111C2×#10621882C2316yes—
112C2×#10621882C2311yescharacteristic
113#13063332D418yescomplemented
114C2×#10621877C2313yes—
115C22×C43⋊C8C2313yes—
116#13063323C2313yes—
117#13063323C2313yes—
118#13063321C2313yes—
119#13063321C2313yes—
120#13063314—26no—
121#13063314C2313yes—
122#13063314C2316yes—
123#13063314C2311yescharacteristic
124#13063312—26no—
125#13063312C2313yes—
126#13063312C2316yes—
127#13063312C2311yescharacteristic
128#13063308—26no—
129#13063306—26no—
130#13063304—26no—
131#13063301—26no—
132#13063299—26no—
133#13063297—26no—
134#13063297—26no—
135#13063296—26no—
136#13063294—26no—
137#13063293—26no—
138Q8×Dic43D412yes—
139D4×Dic43D416yes—
140C4×C22⋊D43—26no—
141C4×C22⋊D43—26no—
142#13063284C2313yes—
143C2×C22⋊Dic43—26no—
144C2×(C2×D43)⋊C4—26no—
145C2×C4×Dic43C2313yes—
146#13063235C2316yes—
147C8×Dic43C2311yescharacteristic
148C8×Dic43C2313yes—
149C8×Dic43C2313yes—
150C8×Dic43C2313yes—
1512−1+4×C43—24no—
1522−1+4×C43—24no—
153H(5,𝔽2)×C43—24no—
154H(5,𝔽2)×C43—24no—
155C2×#41×C43—21no—
156C2×#41×C43—23no—
157C2×#41×C43C2313yes—
158C2×#41×C43C2313yes—
159C2×#41×C43C2311yescharacteristic
160C22×Q8×C43—21no—
161C22×Q8×C43C2313yes—
162C22×D4×C43—23no—
163C22×D4×C43C2313yes—
164#137×C43—212no—
165AGL(1,ℤ/8)×C43—212no—
166#135×C43—212no—
167C2×Q16×C43C2313yes—
168C2×SD16×C43—212no—
169C2×SD16×C43C2313yes—
170C2×SD16×C43C2316yes—
171C2×SD16×C43C2311yescharacteristic
172C2×D8×C43C2313yes—
173#131×C43D418yescomplemented
174C2×M16×C43C2313yes—
175C22×C8×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—23no—
195C2×D4×C43—23no—
196C2×D4×C43—26no—
197C2×D4×C43—26no—
198C2×D4×C43—412no—
199C2×D4×C43C2×D413yes—
200C2×D4×C43C2411yescharacteristic
201C2×D4×C43C2413yes—
202C22×C4×C43—23no—
203C22×C4×C43—23no—
204C22×C4×C43—23no—
205C22×C4×C43C2413yes—
206C2×C22⋊D43—26no—
207C2×C22⋊D43—26no—
208C2×C22⋊D43—23no—
209C2×C22⋊D43—23no—
210C22×Dic43—23no—
211C22×Dic43C2×D416yes—
212#10621902—44no—
213Q8×D43—44no—
214#10621900—412no—
215D4×D43—412no—
216#10621898—26no—
217#10621898—26no—
218#10621898—26no—
219#10621898—26no—
220C2×D172—23no—
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
232Q16×C43—26no—
233SD16×C43—26no—
234SD16×C43—212no—
235SD16×C43—22no—
236D8×C43—26no—
237M16×C43C2×D4112yes—
238C2×C8×C43C2×D4112yes—
239C2×C8×C43C2411yescharacteristic
240C2×C8×C43C2413yes—
241C22⋊Dic43—26no—
242C22⋊Dic43—212no—
243C22⋊Dic43—22no—
244C22⋊Dic43C2×D416yes—
245#10621885—26no—
246#10621885—212no—
247#10621885—22no—
248#10621884—26no—
249#10621884—26no—
250#10621883—26no—
251#10621883—26no—
252#10621882—26no—
253#10621882—212no—
254#10621882—22no—
255(C2×D43)⋊C4—26no—
256(C2×D43)⋊C4—212no—
257(C2×D43)⋊C4—22no—
258C4⋊Dic43C2×D416yes—
259Dic43⋊C4—26no—
260Dic43⋊C4—26no—
261C4×Dic43C2×D416yes—
262C4×Dic43C2411yescharacteristic
263C4×Dic43C2413yes—
264#10621877C2×D4112yes—
265C2×C43⋊C8C2×D4112yes—
266C2×C43⋊C8C2411yescharacteristic
267C2×C43⋊C8C2413yes—
268Dic172—26no—
269D344—26no—
270#10621873—26no—
271#10621873—212no—
272#10621873—22no—
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—21no—
283Q8×C43—23no—
284Q8×C43—23no—
285Q8×C43—21no—
286Q8×C43—46no—
287Q8×C43#12714yes—
288D4×C43—23no—
289D4×C43—21no—
290D4×C43—21no—
291D4×C43—23no—
292D4×C43—46no—
293D4×C43—46no—
294D4×C43—46no—
295D4×C43#127112yes—
296C2×C4×C43—21no—
297C2×C4×C43—23no—
298C2×C4×C43—46no—
299C2×C4×C43—46no—
300C2×C4×C43—46no—
301C2×C4×C43C22×D413yes—
302C2×C4×C43C22×D416yes—
303C2×C4×C43C22×D416yes—
304C2×C4×C43C2511yescharacteristic
305C22⋊D43—46no—
306C22⋊D43—46no—
307C22⋊D43—86no—
308C22⋊D43—86no—
309C2×Dic43—21no—
310C2×Dic43—23no—
311C2×Dic43—46no—
312C2×Dic43—46no—
313C2×Dic43C22×D412yes—
314C2×Dic43C22×D416yes—
315D172—23no—
316D172—21no—
317D172—23no—
318D172—21no—
319D172—46no—
320C4×D43—46no—
321C4×D43—46no—
322Dic86—23no—
323Dic86—21no—
324Dic86—21no—
325Dic86—23no—
326Dic86—46no—
327C8×C43C22×D412yes—
328C8×C43C22×D416yes—
329C43⋊C8C22×D412yes—
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—41no—
346C4×C43—43no—
347C4×C43C2×#12716yes—
348C4×C43C23×D411yescharacteristic
349C4×C43C23×D411yescharacteristic
350Dic43—22no—
351Dic43—26no—
352Dic43—43no—
353Dic43—41no—
354C2×#578—431no—
355C2×#577—431no—
356C2×#577D4311yescharacteristic, complemented
357C2×#576—431no—
358#3500—431no—
359#3500—431no—
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—28no—
382#577—868no—
383#576—868no—
384C2×#137—433no—
385C2×#137—433no—
386C2×#137—433no—
387C2×#137C2×D4313yescomplemented
388C2×AGL(1,ℤ/8)—433no—
389C2×AGL(1,ℤ/8)—433no—
390C2×AGL(1,ℤ/8)—433no—
391C2×AGL(1,ℤ/8)C2×D4313yescomplemented
392C2×#135—433no—
393C2×#135—433no—
394C2×#135—433no—
395C2×#135C2×D4313yescomplemented
396C22×Q16—433no—
397C22×SD16—433no—
398C22×SD16C2×D4313yescomplemented
399C22×D8—433no—
400C2×#131—431no—
401C2×#131C2×D4311yescharacteristic
402#548—862no—
403#548—862no—
404#546—866no—
405#546—866no—
406#536—433no—
407#536—433no—
408#535—433no—
409#535—433no—
410#532—433no—
411#532—433no—
412C2×#124—433no—
413C2×#124—433no—
414C4×#41—431no—
415#497—436no—
416#497—436no—
417#496—436no—
418#496—436no—
419#495—433no—
420#495—433no—
421#495—436no—
422#495—436no—
423#495—436no—
424#495—431no—
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—212no—
461#137—8612no—
462#137—8612no—
463#137—8612no—
464AGL(1,ℤ/8)—212no—
465AGL(1,ℤ/8)—8612no—
466AGL(1,ℤ/8)—8612no—
467AGL(1,ℤ/8)—8612no—
468#135—212no—
469#135—8612no—
470#135—8612no—
471#135—8612no—
472C2×Q16—433no—
473C2×Q16—436no—
474C2×Q16—431no—
475C2×Q16—433no—
476C2×Q16—8612no—
477C2×Q16C22×D4313yes—
478C2×SD16—212no—
479C2×SD16—433no—
480C2×SD16—433no—
481C2×SD16—433no—
482C2×SD16—433no—
483C2×SD16—433no—
484C2×SD16—436no—
485C2×SD16—431no—
486C2×SD16—8612no—
487C2×SD16C22×D4313yes—
488C2×SD16C22×D4316yes—
489C2×SD16C22×D4311yescharacteristic
490C2×D8—433no—
491C2×D8—436no—
492C2×D8—431no—
493C2×D8—433no—
494C2×D8—8612no—
495C2×D8C22×D4313yes—
496#131—438no—
497#131C22⋊D4318yescomplemented
498C2×M16—433no—
499C2×M16C22×D4313yes—
500C22×C8—433no—
501C22×C8C22×D4313yes—
502C4⋊Q8—433no—
503C4⋊Q8—433no—
504#127—433no—
505#127—433no—
506#124—433no—
507#124—436no—
508#124—431no—
509#124—433no—
510#124—436no—
511#124—431no—
512#124—866no—
513#124—866no—
514#123—866no—
515#123—866no—
516C22⋊Q8—866no—
517C22⋊Q8—866no—
518#121—866no—
519#121—866no—
520#121—866no—
521#121—866no—
522#120—866no—
523#120—866no—
524C4×Q8—432no—
525C4×D4—436no—
526C4×D4—866no—
527C4×D4—866no—
528#117—433no—
529C2×C22⋊C4—866no—
530C2×C22⋊C4—866no—
531C2×C42—433no—
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#41C2×C22⋊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×Q8D4×D4311yescharacteristic
564C2×Q8C23×D4313yes—
565C2×Q8C23×D4311yescharacteristic
566C2×D4—23no—
567C2×D4—23no—
568C2×D4—26no—
569C2×D4—23no—
570C2×D4—26no—
571C2×D4—412no—
572C2×D4—433no—
573C2×D4—431no—
574C2×D4—866no—
575C2×D4—866no—
576C2×D4—863no—
577C2×D4—863no—
578C2×D4—866no—
579C2×D4—863no—
580C2×D4—866no—
581C2×D4—17212no—
582C2×D4D4×D4313yes—
583C2×D4C23×D4313yes—
584C2×D4C23×D4311yescharacteristic
585C22×C4—23no—
586C22×C4—23no—
587C22×C4—23no—
588C22×C4—436no—
589C22×C4—863no—
590C22×C4—863no—
591C22×C4—863no—
592C22×C4C23×D4313yes—
593Q16—26no—
594Q16—866no—
595Q16—8612no—
596Q16—862no—
597Q16—866no—
598SD16—26no—
599SD16—212no—
600SD16—22no—
601SD16—866no—
602SD16—866no—
603SD16—866no—
604SD16—866no—
605SD16—866no—
606SD16—8612no—
607SD16—862no—
608D8—26no—
609D8—866no—
610D8—8612no—
611D8—862no—
612D8—866no—
613M16—4312no—
614M16C2×C22⋊D43112yes—
615C2×C8—4312no—
616C2×C8—431no—
617C2×C8—433no—
618C2×C8C2×C22⋊D43112yes—
619C2×C8C23×D4311yescharacteristic
620C2×C8C23×D4313yes—
621C4⋊C4—436no—
622C4⋊C4—866no—
623C4⋊C4—866no—
624C22⋊C4—436no—
625C22⋊C4—866no—
626C22⋊C4—8612no—
627C22⋊C4—862no—
628C22⋊C4—866no—
629C22⋊C4—8612no—
630C22⋊C4—862no—
631C42—436no—
632C42—431no—
633C42—433no—
634C23—23no—
635C23—21no—
636C23—46no—
637C23—86no—
638C23—863no—
639C23—861no—
640C23—3446no—
641C23—1726no—
642C23C2×D4×D4313yes—
643Q8—21no—
644Q8—23no—
645Q8—23no—
646Q8—21no—
647Q8—46no—
648Q8—861no—
649Q8—863no—
650Q8—863no—
651Q8—861no—
652Q8—1726no—
653Q8#1306332114yes—
654D4—23no—
655D4—21no—
656D4—21no—
657D4—23no—
658D4—46no—
659D4—46no—
660D4—46no—
661D4—863no—
662D4—861no—
663D4—861no—
664D4—863no—
665D4—3446no—
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—432no—
677C2×C4—436no—
678C2×C4—863no—
679C2×C4—861no—
680C2×C4—1726no—
681C2×C4—1726no—
682C2×C4—1726no—
683C2×C4—1726no—
684C2×C4C2×D4×D4313yes—
685C2×C4C2×D4×D4316yes—
686C2×C4C22×C22⋊D4316yes—
687C2×C4C24×D4311yescharacteristic
688C8—432no—
689C8—436no—
690C8C22×C22⋊D4312yes—
691C8C22×C22⋊D4316yes—
692C22—26no—
693C22—42no—
694C22—46no—
695C22—41no—
696C22—43no—
697C22—166no—
698C22—1722no—
699C22—1726no—
700C22—1721no—
701C22—1723no—
702C22—6886no—
703C22C2×#1306332116yes—
704C22C22×D4×D4311yescharacteristic
705C4—41no—
706C4—43no—
707C4—862no—
708C4—866no—
709C4—1721no—
710C4—1723no—
711C4C2×#1306332116yes—
712C4C22×D4×D4311yescharacteristic
713C4C23×C22⋊D4311yescharacteristic
714C2—26no—
715C2—83no—
716C2—81no—
717C2—3443no—
718C2—3441no—
719C2C22×#1306332111yescharacteristic
720C2#1914936712yes—
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#577C2
socleC22×C43C23×D4
hypercenterC2×#577D43
hypocenterC43#60649
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ C2×#577

Complements

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

NH ≅ G/Ntype
1. C2×#14583714C2semidirect
2. C2×#14583711C2semidirect
3. C2×#14583702C2semidirect
4. #19148389C2semidirect
5. #19148383C2semidirect
6. #19145088C2semidirect
7. #19145080C2semidirect
8. #19145072C2semidirect
9. #19145065C2semidirect
10. #19145062C2semidirect
11. #19145057C2semidirect
12. #19145019C2semidirect
13. C2×#14583280C2semidirect
14. #131×Dic43C2semidirect
15. C2×C43×#577C2semidirect
21. C2×#13063358C22semidirect
22. C2×#13063356C22semidirect
23. C2×#13063355C22semidirect
24. C2×#13063353C22semidirect
27. C2×#13063347C22semidirect
29. C2×#13063345C22semidirect
30. C22×#10621885C22semidirect
31. C22×#10621873C22semidirect
38. #14583473C22semidirect
39. #14583470C22semidirect
40. #14583466C22semidirect
41. #14583463C22semidirect
42. #14583445C22semidirect
43. #14583445C22semidirect
44. C2×#13063314C22semidirect
45. C2×#13063312C22semidirect
47. #14583292C22semidirect
48. #14583290C22semidirect
49. #14583287C22semidirect
50. #14583285C22semidirect
51. #14583284C22semidirect
52. #14583282C22semidirect
53. #14583280C22semidirect
54. #14583280C22semidirect
55. #14583280C22semidirect
56. #14583280C22semidirect
57. #14583280C22semidirect
58. #14583277C22semidirect
59. #14583274C22semidirect
60. #14583270C22semidirect
61. #14583270C22semidirect
62. #14582857C22semidirect
63. #14582854C22semidirect
64. M16×Dic43C22semidirect
65. C2×C8×Dic43C22semidirect
69. C2×#137×C43C22semidirect
70. C2×AGL(1,ℤ/8)×C43C22semidirect
71. C2×#135×C43C22semidirect
72. C22×SD16×C43C22semidirect
113. #13063332D4semidirect
173. #131×C43D4semidirect
356. C2×#577D43semidirect
387. C2×#137C2×D43semidirect
391. C2×AGL(1,ℤ/8)C2×D43semidirect
395. C2×#135C2×D43semidirect
398. C22×SD16C2×D43semidirect
434. C43#60649semidirect
497. #131C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145837142
C2×#145837112
C2×#145837022
#191483892
#191483832
#191450882
#191450802
#191450722
#191450652
#191450622
#191450572
#191450192
C2×#145832802
#131×Dic432
C2×C43×#5772
#6064943