Finite Group Databasebeta

← #25960849

Subgroups — #25960849

Order 11008.

2734 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×#14583710C211yesmaximal, characteristic
2#19147806C211yesmaximal, characteristic, complemented
3H(5,𝔽2)×Dic43C211yesmaximal, characteristic, complemented
4#19143466C213yesmaximal, complemented
5#19143457C213yesmaximal, complemented
6#19143441C213yesmaximal, complemented
7#19143421C213yesmaximal, complemented
8#19143419C213yesmaximal, complemented
9#19143399C213yesmaximal, complemented
10#19143391C213yesmaximal, complemented
11C2×#14582996C213yesmaximal, complemented
12#19143193C211yesmaximal, characteristic, complemented
13#19143129C211yesmaximal, characteristic, complemented
14#19143021C211yesmaximal, characteristic, complemented
15C43×#2897C211yesmaximal, characteristic, complemented
16C2×#13063372C2211yescharacteristic
17#14583710C4116yescomplemented
18C2×#13063355C2213yes—
19C2×#13063351C2213yes—
20C2×#13063345C2213yes—
21C22×#10621883C2213yes—
22C2×#13063332C2211yescharacteristic
23#14583382—21no—
24#14583382C2213yes—
25#14583382C2211yescharacteristic
26#14583380C2213yescomplemented
27#14583378—23no—
28#14583376C2213yescomplemented
29#14583375—21no—
30#14583374—23no—
31#14583374C2213yes—
32#41×Dic43—21no—
33#41×Dic43C2213yes—
34#41×Dic43C2211yescharacteristic
35#14583367C2213yescomplemented
36C4×#10621900—23no—
37C2×#13063290C2213yescomplemented
38C4×Q8×D43—21no—
39C2×D4×Dic43—23no—
40C2×D4×Dic43C2213yes—
41#14583008C2213yescomplemented
42#14583008C2213yescomplemented
43#14583003C2213yescomplemented
44#14583003C2213yescomplemented
45#14583002C2213yescomplemented
46#14583002C2211yescharacteristic, complemented
47#14582996C2216yescomplemented
48#14582996C2213yescomplemented
49#14582996C2216yescomplemented
50#14582996C2213yescomplemented
51#14582996C2216yescomplemented
52#14582991C2216yescomplemented
53#14582990C2216yescomplemented
54#14582990C2216yescomplemented
55#14582979C2216yescomplemented
56#14582942C2213yescomplemented
57#14582939C2213yescomplemented
58#14582935C2213yescomplemented
59C2×#13063258C2213yescomplemented
60#14582909C2213yescomplemented
61#14582901C2213yescomplemented
62#14582896C2213yescomplemented
63C2×#13063250C2213yescomplemented
64#14582857C2213yescomplemented
65#14582854C2213yescomplemented
66M16×Dic43C2213yescomplemented
67C2×#13063235C2213yescomplemented
68C2×H(5,𝔽2)×C43C2211yescharacteristic
69C2×#131×C43C2211yescharacteristic
70C43×#520C2211yescharacteristic
71C43×#418C2213yes—
72C43×#417C2213yes—
73C43×#416C2213yes—
74C2×#102×C43C2213yes—
75#13063372—24no—
76#13063372C2×C418yescomplemented
77C2×#10621898C2313yes—
78C2×#10621900—23no—
79C22×Dic86C2313yes—
80C2×Q8×D43—21no—
81C23×Dic43—23no—
82#13063355C2×C4124yescomplemented
83#13063351C2×C4124yescomplemented
84#13063345C2×C4124yescomplemented
85C2×#10621885C2313yes—
86C2×#10621883C2×C4124yescomplemented
87C2×#10621883C2313yes—
88C2×#10621883C2316yes—
89C2×#10621884C2311yescharacteristic
90C2×#10621882C2313yes—
91#13063332C2×C418yescomplemented
92C2×#10621877C2313yes—
93C22×C43⋊C8C2313yes—
94Q8×Dic43—21no—
95Q8×Dic43D411yescharacteristic
96Q8×Dic43D411yescharacteristic
97Q8×Dic43C2311yescharacteristic
98Q8×Dic43C2313yes—
99C4×Dic86—23no—
100C4×Dic86—23no—
101#13063290—23no—
102#13063290—23no—
103#13063290C2313yes—
104#13063290C2316yes—
105#13063290C2313yes—
106D4×Dic43—23no—
107D4×Dic43—23no—
108D4×Dic43—23no—
109D4×Dic43—26no—
110D4×Dic43—23no—
111D4×Dic43—23no—
112D4×Dic43—23no—
113D4×Dic43—23no—
114D4×Dic43D413yes—
115D4×Dic43D413yes—
116D4×Dic43C2313yes—
117D4×Dic43C2316yes—
118D4×Dic43C2313yes—
119#13063287C2311yescharacteristic
120#13063287C2313yes—
121C4×C22⋊D43—26no—
122(C22⋊D43)⋊C4—23no—
123(C22⋊D43)⋊C4—23no—
124#13063284—23no—
125#13063284—23no—
126#13063284C2313yes—
127#13063284C2313yes—
128#13063283—23no—
129#13063282—23no—
130#13063281—26no—
131C2×C4⋊Dic43—23no—
132C2×C4⋊Dic43C2313yes—
133C2×Dic43⋊C4—23no—
134C4⋊C4×D43—23no—
135C2×C22⋊Dic43—23no—
136C2×C22⋊Dic43—26no—
137C2×C4×Dic43—23no—
138C2×C4×Dic43—23no—
139C2×C4×Dic43C2313yes—
140C42×D43—23no—
141#13063258C2313yes—
142#13063258C2316yes—
143#13063258C2311yescharacteristic
144#13063256C2313yes—
145#13063256C2313yes—
146#13063250C2313yes—
147#13063250C2316yes—
148#13063250C2313yes—
149#13063247C2311yescharacteristic
150#13063247C2313yes—
151#13063235C2311yescharacteristic
152#13063235C2313yes—
153#13063235C2313yes—
154#13063235C2313yes—
155C8×Dic43C2316yes—
156H(5,𝔽2)×C43—24no—
157H(5,𝔽2)×C43C2×C418yescomplemented
158C2×#41×C43—21no—
159C2×#41×C43C2313yes—
160C2×#41×C43C2311yescharacteristic
161C22×D4×C43—23no—
162C22×D4×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×C43C2311yescharacteristic
171#103×C43C2313yes—
172#102×C43C2313yes—
173#102×C43C2316yes—
174#102×C43C2313yes—
175C24×C43—23no—
176#41×C43—28no—
177#41×C43—26no—
178#41×C43C22×C4112yes—
179#41×C43C22×C414yes—
180#41×C43#4114yes—
181C2×Q8×C43C2×D411yescharacteristic
182C2×Q8×C43C2411yescharacteristic
183C2×D4×C43—224no—
184C2×D4×C43—23no—
185C2×D4×C43—26no—
186C2×D4×C43—23no—
187C2×D4×C43C22×C4112yes—
188C2×D4×C43C2×D413yes—
189C2×D4×C43C2413yes—
190C22×C4×C43—23no—
191C22×C4×C43—23no—
192C22×C4×C43C2413yes—
193C2×C22⋊D43—23no—
194C22×Dic43—23no—
195C22×Dic43—23no—
196C22×Dic43—26no—
197C22×Dic43—23no—
198C22×Dic43—23no—
199C22×Dic43—86no—
200C22×Dic43C2×D413yes—
201C22×Dic43C2×D413yes—
202Q8×D43—28no—
203#10621900—224no—
204#10621898—26no—
205#10621898C22×C4112yescomplemented
206C2×D172C2411yescharacteristic
207C2×C4×D43—23no—
208C2×C4×D43—21no—
209C2×C4×D43—23no—
210C2×Dic86—23no—
211C2×Dic86—26no—
212C2×Dic86C22×C4112yescomplemented
213C2×Dic86C2413yes—
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—23no—
224C22⋊Dic43—23no—
225C22⋊Dic43—26no—
226C22⋊Dic43—23no—
227C22⋊Dic43C2×D416yes—
228#10621885C22×C4112yescomplemented
229#10621884C22×C414yescomplemented
230#10621883C22×C4112yescomplemented
231#10621883C22×C4124yescomplemented
232#10621882C22×C4112yescomplemented
233(C2×D43)⋊C4—21no—
234(C2×D43)⋊C4—23no—
235C4⋊Dic43—23no—
236C4⋊Dic43—23no—
237C4⋊Dic43—21no—
238C4⋊Dic43C2×D413yes—
239C4⋊Dic43C2×D413yes—
240C4⋊Dic43C2411yescharacteristic
241C4⋊Dic43C2413yes—
242Dic43⋊C4—26no—
243Dic43⋊C4—23no—
244Dic43⋊C4—23no—
245C4×Dic43—23no—
246C4×Dic43—23no—
247C4×Dic43—23no—
248C4×Dic43—21no—
249C4×Dic43—26no—
250C4×Dic43—23no—
251C4×Dic43C2×D413yes—
252C4×Dic43C2×D413yes—
253C4×Dic43C2413yes—
254C4×Dic43C2411yescharacteristic
255#10621877C22×C4112yescomplemented
256C2×C43⋊C8C22×C4112yescomplemented
257C2×C43⋊C8C2413yes—
258C2×C43⋊C8C2411yescharacteristic
259C23×C43—23no—
260C23×C43—212no—
261C23×C43—83no—
262C23×C43—83no—
263C23×C43C22×D413yes—
264C22×D43—21no—
265Q8×C43—21no—
266Q8×C43C4×D414yes—
267Q8×C43C23×C412yes—
268D4×C43—212no—
269D4×C43—212no—
270D4×C43—23no—
271D4×C43C4×D4112yes—
272D4×C43C23×C416yes—
273C2×C4×C43—21no—
274C2×C4×C43—212no—
275C2×C4×C43—21no—
276C2×C4×C43—23no—
277C2×C4×C43—83no—
278C2×C4×C43C23×C416yes—
279C2×C4×C43C22×D413yes—
280C2×C4×C43C2×#4116yes—
281C2×C4×C43C2511yescharacteristic
282C22⋊D43—212no—
283C2×Dic43—212no—
284C2×Dic43—23no—
285C2×Dic43—21no—
286C2×Dic43—23no—
287C2×Dic43—43no—
288C2×Dic43—43no—
289C2×Dic43—46no—
290C2×Dic43—83no—
291C2×Dic43—86no—
292C2×Dic43—83no—
293C2×Dic43C22×D411yescharacteristic
294C2×Dic43C22×D413yes—
295C2×Dic43C22×D411yescharacteristic
296C2×Dic43C22×D413yes—
297D172—21no—
298D172C23×C412yes—
299C4×D43—212no—
300C4×D43—42no—
301C4×D43—83no—
302Dic86—212no—
303Dic86—23no—
304Dic86C23×C416yes—
305C8×C43—21no—
306C8×C43—23no—
307C43⋊C8C23×C412yes—
308C43⋊C8C23×C416yes—
309#60174—431nomaximal, Sylow
310C22×C43—23no—
311C22×C43—23no—
312C22×C43—26no—
313C22×C43—43no—
314C22×C43—43no—
315C22×C43—812no—
316C22×C43C2×C4×D416yes—
317C22×C43C23×D411yescharacteristic
318C2×D43—22no—
319C2×D43—41no—
320C2×D43—41no—
321C4×C43—22no—
322C4×C43—43no—
323C4×C43—41no—
324C4×C43C2×C4×D416yes—
325C4×C43C24×C411yescharacteristic
326C4×C43C22×#4111yescharacteristic
327Dic43—23no—
328Dic43—21no—
329Dic43—21no—
330Dic43—23no—
331Dic43—26no—
332Dic43—43no—
333Dic43—41no—
334C2×#577—431no—
335C4×2−1+4—431no—
336C4×H(5,𝔽2)—431no—
337#2951—433no—
338#2949—433no—
339#2947—433no—
340#2946—433no—
341C4×#137—433no—
342C4×AGL(1,ℤ/8)—433no—
343#2943—433no—
344C2×#440—433no—
345#2913—431no—
346#2898—431no—
347#2897D4311yescharacteristic, complemented
348#2875—431no—
349C2×C43—26no—
350C2×C43—46no—
351C2×C43C22×C4×D411yescharacteristic
352C2×C43#358511yescharacteristic
353C2×C43#358611yescharacteristic
354D43—42no—
355C2×2−1+4—431no—
356C2×H(5,𝔽2)C2×D4311yescharacteristic
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—433no—
384#442—433no—
385#441—433no—
386#441—433no—
387#440—431no—
388#440—433no—
389#440—433no—
390#440—436no—
391#440—436no—
392#440—436no—
393#440—433no—
394C4×Q16—436no—
395C4×SD16—436no—
396C4×SD16—436no—
397C4×D8—436no—
398#428—433no—
399#428—433no—
400#427—433no—
401C2×#107—433no—
402#419—433no—
403#418C2×D4313yes—
404#417—433no—
405#417C2×D4313yes—
406#416—433no—
407#416C2×D4313yes—
408C2×#103—433no—
409C2×#102C2×D4313yes—
410#405—433no—
411#405—433no—
412C4×M16—433no—
413C2×#97—433no—
414C43#6017411yescharacteristic, complemented, Sylow
4152−1+4—438no—
4162−1+4—864no—
417H(5,𝔽2)—24no—
418H(5,𝔽2)C4×D4318yescomplemented
419C2×#41—21no—
420C2×#41—433no—
421C2×#41—863no—
422C2×#41C22×D4313yes—
423C2×#41C22×D4311yescharacteristic
424C22×Q8—433no—
425C22×Q8—861no—
426C22×D4—23no—
427C22×D4C22×D4313yes—
428C23×C4—863no—
429#137—4324no—
430AGL(1,ℤ/8)—4324no—
431#135—4324no—
432C2×Q16—433no—
433C2×SD16—431no—
434C2×SD16—4324no—
435C2×SD16—433no—
436C2×SD16—436no—
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—431no—
448C4×Q8—433no—
449C4×Q8—433no—
450C4×Q8—436no—
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—433no—
461C4×D4—436no—
462C4×D4—433no—
463C4×D4—431no—
464C4×D4—433no—
465C4×D4—863no—
466C4×D4—863no—
467C4×D4—863no—
468C4×D4—863no—
469C4×D4—866no—
470C4×D4—866no—
471C4×D4—863no—
472C4×D4—863no—
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—436no—
497#107—431no—
498#106—433no—
499#106—433no—
500#103—433no—
501#103—436no—
502#103—433no—
503#103C22×D4311yescharacteristic
504#103C22×D4313yes—
505#102—431no—
506#102—433no—
507#102C22×D4313yes—
508#102C22×D4316yes—
509#102C22×D4313yes—
510#97—431no—
511#97—433no—
512#97—433no—
513#97—433no—
514C4×C8—436no—
515C24—23no—
516#41—28no—
517#41—26no—
518#41—4312no—
519#41—8624no—
520#41—866no—
521#41C2×C4×D43112yes—
522#41C2×C4×D4314yes—
523#41#1062190014yes—
524C2×Q8—4312no—
525C2×Q8—433no—
526C2×Q8—868no—
527C2×Q8—863no—
528C2×Q8—866no—
529C2×Q8D4×D4311yescharacteristic
530C2×Q8C23×D4311yescharacteristic
531C2×D4—23no—
532C2×D4—224no—
533C2×D4—23no—
534C2×D4—26no—
535C2×D4—431no—
536C2×D4—863no—
537C2×D4C2×C4×D43112yes—
538C2×D4D4×D4313yes—
539C2×D4C23×D4313yes—
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—433no—
543C22×C4—433no—
544C22×C4—863no—
545C22×C4—861no—
546C22×C4—863no—
547C22×C4—866no—
548C22×C4—863no—
549C22×C4—863no—
550C22×C4—863no—
551C22×C4—863no—
552C22×C4—3446no—
553C22×C4C23×D4313yes—
554Q16—4312no—
555SD16—434no—
556SD16—4312no—
557SD16—4324no—
558D8—4312no—
559M16—26no—
560M16—4312no—
561C2×C8—26no—
562C2×C8—4312no—
563C2×C8—433no—
564C2×C8—431no—
565C2×C8C23×D4313yes—
566C2×C8C23×D4311yescharacteristic
567C4⋊C4—23no—
568C4⋊C4—433no—
569C4⋊C4—433no—
570C4⋊C4—431no—
571C4⋊C4—433no—
572C4⋊C4—863no—
573C4⋊C4—863no—
574C4⋊C4—866no—
575C4⋊C4—861no—
576C4⋊C4—863no—
577C4⋊C4—863no—
578C4⋊C4C23×D4311yescharacteristic
579C4⋊C4C23×D4313yes—
580C22⋊C4—23no—
581C22⋊C4—436no—
582C22⋊C4—861no—
583C22⋊C4—863no—
584C22⋊C4—863no—
585C22⋊C4—866no—
586C22⋊C4—863no—
587C22⋊C4—863no—
588C42—23no—
589C42—433no—
590C42—433no—
591C42—433no—
592C42—431no—
593C42—861no—
594C42—863no—
595C42—863no—
596C42—863no—
597C42—866no—
598C42—863no—
599C23—23no—
600C23—212no—
601C23—83no—
602C23—83no—
603C23—861no—
604C23C2×D4×D4313yes—
605Q8—21no—
606Q8—436no—
607Q8—8612no—
608Q8—863no—
609Q8(C22⋊D43)⋊C414yes—
610Q8C22×C4×D4312yes—
611D4—212no—
612D4—212no—
613D4—23no—
614D4—432no—
615D4—8612no—
616D4—861no—
617D4(C22⋊D43)⋊C4112yes—
618D4C22×C4×D4316yes—
619C2×C4—21no—
620C2×C4—212no—
621C2×C4—21no—
622C2×C4—23no—
623C2×C4—83no—
624C2×C4—431no—
625C2×C4—431no—
626C2×C4—433no—
627C2×C4—433no—
628C2×C4—8612no—
629C2×C4—863no—
630C2×C4—8612no—
631C2×C4—861no—
632C2×C4—863no—
633C2×C4—3443no—
634C2×C4—3446no—
635C2×C4—3443no—
636C2×C4—3443no—
637C2×C4—1722no—
638C2×C4—1723no—
639C2×C4—1723no—
640C2×C4—1726no—
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—26no—
652C22—43no—
653C22—43no—
654C22—812no—
655C22—862no—
656C22—1721no—
657C22—1721no—
658C22C2×(C22⋊D43)⋊C416yes—
659C22C22×D4×D4311yescharacteristic
660C4—22no—
661C4—43no—
662C4—41no—
663C4—863no—
664C4—861no—
665C4—863no—
666C4—861no—
667C4—866no—
668C4—1723no—
669C4—1721no—
670C4C2×(C22⋊D43)⋊C416yes—
671C4C23×C4×D4311yescharacteristic
672C4C22×#1062190011yescharacteristic
673C2—26no—
674C2—46no—
675C2—1722no—
676C2C22×(C22⋊D43)⋊C411yescharacteristic
677C2#1914937011yescharacteristic
678C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC43×#2897C2
socleC22×C43C23×D4
prime radicalC2×#14583710C2
cosocleC2×C4×C43C25
hypercenter#2897D43
hypocenterC43#60174
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ #2897

Complements

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

NH ≅ G/Ntype
2. #19147806C2semidirect
3. H(5,𝔽2)×Dic43C2semidirect
4. #19143466C2semidirect
5. #19143457C2semidirect
6. #19143441C2semidirect
7. #19143421C2semidirect
8. #19143419C2semidirect
9. #19143399C2semidirect
10. #19143391C2semidirect
11. C2×#14582996C2semidirect
12. #19143193C2semidirect
13. #19143129C2semidirect
14. #19143021C2semidirect
15. C43×#2897C2semidirect
17. #14583710C4semidirect
26. #14583380C22semidirect
28. #14583376C22semidirect
35. #14583367C22semidirect
37. C2×#13063290C22semidirect
41. #14583008C22semidirect
42. #14583008C22semidirect
43. #14583003C22semidirect
44. #14583003C22semidirect
45. #14583002C22semidirect
46. #14583002C22semidirect
47. #14582996C22semidirect
48. #14582996C22semidirect
49. #14582996C22semidirect
50. #14582996C22semidirect
51. #14582996C22semidirect
52. #14582991C22semidirect
53. #14582990C22semidirect
54. #14582990C22semidirect
55. #14582979C22semidirect
56. #14582942C22semidirect
57. #14582939C22semidirect
58. #14582935C22semidirect
59. C2×#13063258C22semidirect
60. #14582909C22semidirect
61. #14582901C22semidirect
62. #14582896C22semidirect
63. C2×#13063250C22semidirect
64. #14582857C22semidirect
65. #14582854C22semidirect
66. M16×Dic43C22semidirect
67. C2×#13063235C22semidirect
76. #13063372C2×C4semidirect
82. #13063355C2×C4semidirect
83. #13063351C2×C4semidirect
84. #13063345C2×C4semidirect
86. C2×#10621883C2×C4semidirect
91. #13063332C2×C4semidirect
157. H(5,𝔽2)×C43C2×C4semidirect
205. #10621898C22×C4semidirect
212. C2×Dic86C22×C4semidirect
228. #10621885C22×C4semidirect
229. #10621884C22×C4semidirect
230. #10621883C22×C4semidirect
231. #10621883C22×C4semidirect
232. #10621882C22×C4semidirect
255. #10621877C22×C4semidirect
256. C2×C43⋊C8C22×C4semidirect
347. #2897D43semidirect
414. C43#60174semidirect
418. H(5,𝔽2)C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145837102
#191478062
H(5,𝔽2)×Dic432
#191434662
#191434572
#191434412
#191434212
#191434192
#191433992
#191433912
C2×#145829962
#191431932
#191431292
#191430212
C43×#28972
#6017443