Finite Group Databasebeta

← #25966129

Subgroups — #25966129

Order 11008.

3250 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583711C211yesmaximal, characteristic, complemented
2C2×#14583710C211yesmaximal, characteristic, complemented
3C2×#14583707C211yesmaximal, characteristic, complemented
4#19148376C211yesmaximal, characteristic, complemented
5#19148369C211yesmaximal, characteristic, complemented
6#19145074C213yesmaximal, complemented
7#19145072C213yesmaximal, complemented
8#19145069C213yesmaximal, complemented
9#19145065C213yesmaximal, complemented
10#19145050C213yesmaximal, complemented
11#19145043C213yesmaximal, complemented
12#19145019C213yesmaximal, complemented
13C2×#14583270C213yesmaximal, complemented
14#131×Dic43C211yesmaximal, characteristic, complemented
15C2×C43×#577C211yesmaximal, characteristic, complemented
16C2×#13063372C2211yescharacteristic
17C2×#13063371C2211yescharacteristic
18#14583711—28no—
19#14583710—28no—
20#14583707—28no—
21C2×#13063358C2213yescomplemented
22C2×#13063356C2213yescomplemented
23C2×#13063355C2213yescomplemented
24C2×#13063353C2213yescomplemented
25C2×#13063351C2213yescomplemented
26C2×#13063350C2213yescomplemented
27C2×#13063347C2213yescomplemented
28C2×#13063345C2213yescomplemented
29C2×#13063345C2213yescomplemented
30C22×#10621873C2213yescomplemented
31C22×#10621883C2213yescomplemented
32C22×#10621884C2213yescomplemented
33C2×#13063332C2211yescharacteristic
34#14583568—22no—
35Q8×C22⋊D43—22no—
36#14583548—26no—
37D4×C22⋊D43—26no—
38#14583473C2213yescomplemented
39#14583470C2213yescomplemented
40#14583466C2213yes—
41#14583463C2213yes—
42#14583445C2213yes—
43#14583445C2213yescomplemented
44C2×#13063323C2213yescomplemented
45C2×#13063321C2213yes—
46#41×Dic43C2211yescharacteristic
47#14583292C2216yescomplemented
48#14583290C2216yescomplemented
49#14583287C2216yescomplemented
50#14583285C2216yescomplemented
51#14583284C2213yescomplemented
52#14583282C2213yescomplemented
53#14583280C2213yescomplemented
54#14583280C2213yescomplemented
55#14583277C2213yescomplemented
56#14583274C2213yescomplemented
57#14583270C2213yescomplemented
58#14583270C2216yescomplemented
59#14583270C2216yescomplemented
60#14583270C2216yescomplemented
61#14583270C2211yescharacteristic, complemented
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—
85C22×C22⋊D43—26no—
86C2×D4×D43—23no—
87#13063358—212no—
88#13063356—212no—
89#13063355—212no—
90#13063353—212no—
91#13063351—212no—
92#13063350—212no—
93#13063347—212no—
94#13063345—212no—
95#13063345—212no—
96C2×Dic172C2313yes—
97C2×#10621885C2313yes—
98C2×#10621885C2313yes—
99C2×#10621873—212no—
100C2×#10621873C2313yes—
101C2×#10621873C2316yes—
102C2×#10621873C2311yescharacteristic
103C2×#10621883—212no—
104C2×#10621883C2313yes—
105C2×#10621883C2316yes—
106C2×#10621883C2311yescharacteristic
107C2×#10621884—212no—
108C2×#10621884C2313yes—
109C2×#10621884C2316yes—
110C2×#10621884C2311yescharacteristic
111C2×D344C2313yes—
112C2×#10621882C2313yes—
113C2×#10621882C2313yes—
114#13063332D418yescomplemented
115C2×#10621877C2313yes—
116C22×C43⋊C8C2313yes—
117#13063323—26no—
118#13063323C2313yes—
119#13063323C2316yes—
120#13063323C2311yescharacteristic
121#13063321—26no—
122#13063321C2313yes—
123#13063321C2316yes—
124#13063321C2311yescharacteristic
125#13063314C2313yes—
126#13063314C2313yes—
127#13063312C2313yes—
128#13063312C2313yes—
129#13063308—26no—
130#13063306—26no—
131#13063304—26no—
132#13063301—26no—
133#13063299—26no—
134#13063297—26no—
135#13063297—26no—
136#13063296—26no—
137#13063294—26no—
138#13063293—26no—
139Q8×Dic43D412yes—
140D4×Dic43D416yes—
141C4×C22⋊D43—26no—
142C4×C22⋊D43—26no—
143#13063284C2313yes—
144C2×Dic43⋊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—22no—
207C2×C22⋊D43—26no—
208C2×C22⋊D43—212no—
209C2×C22⋊D43—23no—
210C2×C22⋊D43—23no—
211C2×C22⋊D43—812no—
212C22×Dic43—23no—
213C22×Dic43C2×D416yes—
214#10621902—44no—
215Q8×D43—44no—
216#10621900—412no—
217D4×D43—412no—
218#10621898—26no—
219#10621898—26no—
220#10621898—26no—
221#10621898—26no—
222C2×D172—23no—
223C2×D172—26no—
224C2×D172—26no—
225C2×D172C2411yescharacteristic
226C2×D172C2413yes—
227C2×C4×D43—23no—
228C2×C4×D43—23no—
229C2×Dic86—26no—
230C2×Dic86—26no—
231C2×Dic86—23no—
232C2×Dic86C2411yescharacteristic
233C2×Dic86C2413yes—
234Q16×C43—26no—
235SD16×C43—26no—
236SD16×C43—212no—
237SD16×C43—22no—
238D8×C43—26no—
239M16×C43C2×D4112yescomplemented
240C2×C8×C43C2×D4112yescomplemented
241C2×C8×C43C2411yescharacteristic
242C2×C8×C43C2413yes—
243C22⋊Dic43—26no—
244C22⋊Dic43—26no—
245C22⋊Dic43C2×D416yes—
246#10621885—26no—
247#10621885—26no—
248#10621884—26no—
249#10621884—212no—
250#10621884—22no—
251#10621883—26no—
252#10621883—212no—
253#10621883—22no—
254#10621882—26no—
255#10621882—26no—
256(C2×D43)⋊C4—26no—
257(C2×D43)⋊C4—26no—
258C4⋊Dic43C2×D416yes—
259Dic43⋊C4—26no—
260Dic43⋊C4—212no—
261Dic43⋊C4—22no—
262C4×Dic43C2×D416yes—
263C4×Dic43C2411yescharacteristic
264C4×Dic43C2413yes—
265#10621877C2×D4112yescomplemented
266C2×C43⋊C8C2×D4112yescomplemented
267C2×C43⋊C8C2411yescharacteristic
268C2×C43⋊C8C2413yes—
269Dic172—26no—
270D344—26no—
271#10621873—26no—
272#10621873—212no—
273#10621873—22no—
274C23×C43—21no—
275C23×C43—23no—
276C23×C43—46no—
277C23×C43—86no—
278C23×C43C22×D413yes—
279C22×D43—21no—
280C22×D43—23no—
281C22×D43—46no—
282C22×D43—86no—
283Q8×C43—23no—
284Q8×C43—21no—
285Q8×C43—23no—
286Q8×C43—21no—
287Q8×C43—46no—
288Q8×C43#12714yes—
289D4×C43—21no—
290D4×C43—23no—
291D4×C43—21no—
292D4×C43—23no—
293D4×C43—46no—
294D4×C43—46no—
295D4×C43—46no—
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×C43C22×D413yes—
303C2×C4×C43C22×D416yes—
304C2×C4×C43C22×D416yes—
305C2×C4×C43C2511yescharacteristic
306C22⋊D43—46no—
307C22⋊D43—46no—
308C22⋊D43—44no—
309C22⋊D43—412no—
310C22⋊D43—812no—
311C2×Dic43—212no—
312C2×Dic43—23no—
313C2×Dic43—21no—
314C2×Dic43—46no—
315C2×Dic43C22×D416yes—
316C2×Dic43C22×D412yes—
317D172—23no—
318D172—21no—
319D172—21no—
320D172—23no—
321D172—46no—
322C4×D43—46no—
323C4×D43—46no—
324Dic86—23no—
325Dic86—21no—
326Dic86—23no—
327Dic86—21no—
328Dic86—46no—
329C8×C43C22×D412yes—
330C8×C43C22×D416yes—
331C43⋊C8C22×D412yes—
332C43⋊C8C22×D416yes—
333#60646—431nomaximal, Sylow
334C22×C43—26no—
335C22×C43—43no—
336C22×C43—41no—
337C22×C43—46no—
338C22×C43—42no—
339C22×C43—166no—
340C22×C43C2×#12716yes—
341C22×C43C23×D411yescharacteristic
342C2×D43—43no—
343C2×D43—41no—
344C2×D43—46no—
345C2×D43—42no—
346C2×D43—166no—
347C4×C43—41no—
348C4×C43—43no—
349C4×C43C2×#12716yes—
350C4×C43C23×D411yescharacteristic
351C4×C43C23×D411yescharacteristic
352Dic43—26no—
353Dic43—43no—
354Dic43—41no—
355Dic43#57714yescomplemented
356C2×#577—431no—
357C2×#577—431no—
358C2×#577—431no—
359C2×#577D4311yescharacteristic, complemented
360#3499—431no—
361#3498—431no—
362#3154—433no—
363#3154—433no—
364#3154—433no—
365#3154—433no—
366#3152—433no—
367#3151—433no—
368#3147—433no—
369C2×#492—433no—
370C4×#131—431no—
371C2×C43—26no—
372C2×C43—81no—
373C2×C43—83no—
374C2×C43C22×#12711yescharacteristic
375C2×C43C2×#57712yes—
376D43—81no—
377D43—83no—
378C2×2−1+4—431no—
379C2×2−1+4C2×D4311yescharacteristic
380C2×H(5,𝔽2)—431no—
381C2×H(5,𝔽2)C2×D4311yescharacteristic
382#577—28no—
383#577—868no—
384#577—868no—
385#577—868no—
386C2×#137—433no—
387C2×#137—433no—
388C2×#137—433no—
389C2×#137C2×D4313yescomplemented
390C2×AGL(1,ℤ/8)—433no—
391C2×AGL(1,ℤ/8)—433no—
392C2×AGL(1,ℤ/8)—433no—
393C2×AGL(1,ℤ/8)C2×D4313yescomplemented
394C2×#135—433no—
395C2×#135—433no—
396C2×#135—433no—
397C2×#135C2×D4313yescomplemented
398C22×SD16—433no—
399C22×SD16—433no—
400C22×SD16—433no—
401C22×SD16C2×D4313yescomplemented
402C2×#131—431no—
403C2×#131C2×D4311yescharacteristic
404#550—862no—
405D4×Q8—862no—
406#547—866no—
407D42—866no—
408#536—433no—
409#536—433no—
410#535—433no—
411#535—433no—
412#532—433no—
413#532—433no—
414C2×C4⋊Q8—433no—
415C2×#127—433no—
416C4×#41—431no—
417#497—436no—
418#497—436no—
419#496—436no—
420#496—436no—
421#495—433no—
422#495—433no—
423#495—433no—
424#495—433no—
425#494—433no—
426#493—433no—
427#492—433no—
428#492—436no—
429#492—436no—
430#492—436no—
431#492—431no—
432#405—433no—
433#405—433no—
434C4×M16—433no—
435C2×C4×C8—433no—
436C43#6064611yescharacteristic, complemented, Sylow
4372−1+4—24no—
4382−1+4—24no—
4392−1+4—864no—
4402−1+4—864no—
441H(5,𝔽2)—24no—
442H(5,𝔽2)—24no—
443H(5,𝔽2)—864no—
444H(5,𝔽2)—864no—
445C2×#41—21no—
446C2×#41—23no—
447C2×#41—433no—
448C2×#41—433no—
449C2×#41—861no—
450C2×#41—863no—
451C2×#41C22×D4313yes—
452C2×#41C22×D4313yes—
453C2×#41C22×D4311yescharacteristic
454C22×Q8—21no—
455C22×Q8—433no—
456C22×Q8—861no—
457C22×Q8C22×D4313yes—
458C22×D4—23no—
459C22×D4—433no—
460C22×D4—866no—
461C22×D4—863no—
462C22×D4C22×D4313yes—
463#137—212no—
464#137—8612no—
465#137—8612no—
466#137—8612no—
467AGL(1,ℤ/8)—212no—
468AGL(1,ℤ/8)—8612no—
469AGL(1,ℤ/8)—8612no—
470AGL(1,ℤ/8)—8612no—
471#135—212no—
472#135—8612no—
473#135—8612no—
474#135—8612no—
475C2×Q16—433no—
476C2×Q16—433no—
477C2×Q16—433no—
478C2×Q16C22×D4313yes—
479C2×SD16—212no—
480C2×SD16—433no—
481C2×SD16—436no—
482C2×SD16—431no—
483C2×SD16—433no—
484C2×SD16—436no—
485C2×SD16—431no—
486C2×SD16—433no—
487C2×SD16—436no—
488C2×SD16—431no—
489C2×SD16—8612no—
490C2×SD16—8612no—
491C2×SD16—8612no—
492C2×SD16C22×D4313yes—
493C2×SD16C22×D4316yes—
494C2×SD16C22×D4311yescharacteristic
495C2×D8—433no—
496C2×D8—433no—
497C2×D8—433no—
498C2×D8C22×D4313yes—
499#131—438no—
500#131C22⋊D4318yescomplemented
501C2×M16—433no—
502C2×M16C22×D4313yes—
503C22×C8—433no—
504C22×C8C22×D4313yes—
505C4⋊Q8—433no—
506C4⋊Q8—436no—
507C4⋊Q8—431no—
508C4⋊Q8—866no—
509#127—433no—
510#127—436no—
511#127—431no—
512#127—866no—
513#124—433no—
514#124—433no—
515#124—433no—
516#124—433no—
517#123—866no—
518#123—866no—
519C22⋊Q8—866no—
520C22⋊Q8—866no—
521#121—866no—
522#121—866no—
523#121—866no—
524#121—866no—
525#120—866no—
526#120—866no—
527C4×Q8—432no—
528C4×D4—436no—
529C4×D4—866no—
530C4×D4—866no—
531#117—433no—
532C2×C4⋊C4—866no—
533C2×C42—433no—
534#97—436no—
535C4×C8—431no—
536C4×C8—433no—
537C4×C8—433no—
538C4×C8—433no—
539C24—23no—
540C24—863no—
541#41—26no—
542#41—26no—
543#41—26no—
544#41—26no—
545#41—44no—
546#41—412no—
547#41—866no—
548#41—866no—
549#41—866no—
550#41—866no—
551#41—1724no—
552#41—17212no—
553#41D4×D4314yes—
554#41C2×C22⋊D4314yes—
555C2×Q8—23no—
556C2×Q8—26no—
557C2×Q8—26no—
558C2×Q8—44no—
559C2×Q8—431no—
560C2×Q8—433no—
561C2×Q8—863no—
562C2×Q8—866no—
563C2×Q8—866no—
564C2×Q8—1724no—
565C2×Q8D4×D4311yescharacteristic
566C2×Q8C23×D4311yescharacteristic
567C2×Q8C23×D4313yes—
568C2×D4—23no—
569C2×D4—23no—
570C2×D4—26no—
571C2×D4—23no—
572C2×D4—26no—
573C2×D4—412no—
574C2×D4—431no—
575C2×D4—433no—
576C2×D4—8612no—
577C2×D4—862no—
578C2×D4—866no—
579C2×D4—863no—
580C2×D4—863no—
581C2×D4—866no—
582C2×D4—863no—
583C2×D4—866no—
584C2×D4—34412no—
585C2×D4—17212no—
586C2×D4D4×D4313yes—
587C2×D4C23×D4311yescharacteristic
588C2×D4C23×D4313yes—
589C22×C4—23no—
590C22×C4—23no—
591C22×C4—23no—
592C22×C4—436no—
593C22×C4—863no—
594C22×C4—863no—
595C22×C4—863no—
596C22×C4C23×D4313yes—
597Q16—26no—
598Q16—866no—
599Q16—866no—
600Q16—866no—
601SD16—26no—
602SD16—212no—
603SD16—22no—
604SD16—866no—
605SD16—8612no—
606SD16—862no—
607SD16—866no—
608SD16—8612no—
609SD16—862no—
610SD16—866no—
611SD16—8612no—
612SD16—862no—
613D8—26no—
614D8—866no—
615D8—866no—
616D8—866no—
617M16—4312no—
618M16C2×C22⋊D43112yescomplemented
619C2×C8—4312no—
620C2×C8—431no—
621C2×C8—433no—
622C2×C8C2×C22⋊D43112yescomplemented
623C2×C8C23×D4311yescharacteristic
624C2×C8C23×D4313yes—
625C4⋊C4—436no—
626C4⋊C4—866no—
627C4⋊C4—8612no—
628C4⋊C4—862no—
629C22⋊C4—436no—
630C22⋊C4—866no—
631C22⋊C4—866no—
632C22⋊C4—866no—
633C22⋊C4—866no—
634C42—436no—
635C42—431no—
636C42—433no—
637C23—21no—
638C23—23no—
639C23—46no—
640C23—86no—
641C23—861no—
642C23—863no—
643C23—3446no—
644C23—1726no—
645C23C2×D4×D4313yes—
646Q8—23no—
647Q8—21no—
648Q8—23no—
649Q8—21no—
650Q8—46no—
651Q8—863no—
652Q8—861no—
653Q8—863no—
654Q8—861no—
655Q8—1726no—
656Q8#1306332114yes—
657D4—21no—
658D4—23no—
659D4—21no—
660D4—23no—
661D4—46no—
662D4—46no—
663D4—46no—
664D4—861no—
665D4—863no—
666D4—861no—
667D4—863no—
668D4—34412no—
669D4—17212no—
670D4—1724no—
671D4—1726no—
672D4—1726no—
673D4—1726no—
674D4#13063321112yes—
675C2×C4—21no—
676C2×C4—23no—
677C2×C4—46no—
678C2×C4—46no—
679C2×C4—46no—
680C2×C4—432no—
681C2×C4—436no—
682C2×C4—8612no—
683C2×C4—861no—
684C2×C4—863no—
685C2×C4—1726no—
686C2×C4—1726no—
687C2×C4—1726no—
688C2×C4C2×D4×D4313yes—
689C2×C4C2×D4×D4316yes—
690C2×C4C22×C22⋊D4316yes—
691C2×C4C24×D4311yescharacteristic
692C8—432no—
693C8—436no—
694C8C22×C22⋊D4312yes—
695C8C22×C22⋊D4316yes—
696C22—26no—
697C22—46no—
698C22—42no—
699C22—41no—
700C22—43no—
701C22—166no—
702C22—1726no—
703C22—1722no—
704C22—1721no—
705C22—1723no—
706C22—6886no—
707C22C2×#1306332116yes—
708C22C22×D4×D4311yescharacteristic
709C4—41no—
710C4—43no—
711C4—434no—
712C4—866no—
713C4—1721no—
714C4—1723no—
715C4C2×#1306332116yes—
716C4C22×D4×D4311yescharacteristic
717C4C23×C22⋊D4311yescharacteristic
718C2—26no—
719C2—83no—
720C2—81no—
721C2—3443no—
722C2—3441no—
723C2C22×#1306332111yescharacteristic
724C2#577×D4312yes—
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#577C2
socleC22×C43C23×D4
hypercenterC2×#577D43
hypocenterC43#60646
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×#14583711C2semidirect
2. C2×#14583710C2semidirect
3. C2×#14583707C2semidirect
4. #19148376C2semidirect
5. #19148369C2semidirect
6. #19145074C2semidirect
7. #19145072C2semidirect
8. #19145069C2semidirect
9. #19145065C2semidirect
10. #19145050C2semidirect
11. #19145043C2semidirect
12. #19145019C2semidirect
13. C2×#14583270C2semidirect
14. #131×Dic43C2semidirect
15. C2×C43×#577C2semidirect
21. C2×#13063358C22semidirect
22. C2×#13063356C22semidirect
23. C2×#13063355C22semidirect
24. C2×#13063353C22semidirect
25. C2×#13063351C22semidirect
26. C2×#13063350C22semidirect
27. C2×#13063347C22semidirect
28. C2×#13063345C22semidirect
29. C2×#13063345C22semidirect
30. C22×#10621873C22semidirect
31. C22×#10621883C22semidirect
32. C22×#10621884C22semidirect
38. #14583473C22semidirect
39. #14583470C22semidirect
43. #14583445C22semidirect
44. C2×#13063323C22semidirect
47. #14583292C22semidirect
48. #14583290C22semidirect
49. #14583287C22semidirect
50. #14583285C22semidirect
51. #14583284C22semidirect
52. #14583282C22semidirect
53. #14583280C22semidirect
54. #14583280C22semidirect
55. #14583277C22semidirect
56. #14583274C22semidirect
57. #14583270C22semidirect
58. #14583270C22semidirect
59. #14583270C22semidirect
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
114. #13063332D4semidirect
173. #131×C43D4semidirect
239. M16×C43C2×D4semidirect
240. C2×C8×C43C2×D4semidirect
265. #10621877C2×D4semidirect
266. C2×C43⋊C8C2×D4semidirect
355. Dic43#577semidirect
359. C2×#577D43semidirect
389. C2×#137C2×D43semidirect
393. C2×AGL(1,ℤ/8)C2×D43semidirect
397. C2×#135C2×D43semidirect
401. C22×SD16C2×D43semidirect
436. C43#60646semidirect
500. #131C22⋊D43semidirect
618. M16C2×C22⋊D43semidirect
622. C2×C8C2×C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145837112
C2×#145837102
C2×#145837072
#191483762
#191483692
#191450742
#191450722
#191450692
#191450652
#191450502
#191450432
#191450192
C2×#145832702
#131×Dic432
C2×C43×#5772
#6064643