Finite Group Databasebeta

← C4×#14583707 #25960832

Subgroups — C4×#14583707 #25960832

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
2C4×#13063371C211yesmaximal, characteristic, complemented
3#19143476C213yesmaximal, complemented
4#19143454C213yesmaximal, complemented
5#19143438C213yesmaximal, complemented
6#19143423C213yesmaximal, complemented
7C4×#13063356C213yesmaximal, complemented
8C4×#13063350C213yesmaximal, complemented
9C4×#13063345C213yesmaximal, complemented
10C2×C4×#10621884C213yesmaximal, complemented
11#19143188C211yesmaximal, characteristic, complemented
12#19143128C211yesmaximal, characteristic, complemented
13#19143118C211yesmaximal, characteristic, complemented
14C4×#13063332C211yesmaximal, characteristic, complemented
15C4×2−1+4×C43C211yesmaximal, characteristic, complemented
16C2×#13063371C2211yescharacteristic
17#14583707C4116yesdirect product factor
18C2×#13063356C2213yes—
19C2×#13063350C2213yes—
20C2×#13063345C2213yes—
21C22×#10621884C2213yes—
22C2×#13063332C2211yescharacteristic
23C2×#13063332C2211yescharacteristic
24#14583382C2211yescharacteristic
25#14583381—21no—
26#14583379C2213yes—
27#14583373C2213yes—
28#14583371—23no—
29C4×#10621902—21no—
30C4×#10621898C2213yes—
31C2×C4×D172C2213yes—
32C4×D4×D43—23no—
33#14583009C2216yescomplemented
34#14583004C2216yescomplemented
35#14582997C2216yescomplemented
36#14582997C2216yescomplemented
37C4×#10621885C2213yescomplemented
38C4×#10621885C2213yescomplemented
39C4×#10621884C2216yescomplemented
40C4×#10621884C2213yescomplemented
41C4×#10621884C2216yescomplemented
42C4×#10621884C2213yescomplemented
43C4×#10621884C2216yescomplemented
44C4×#10621883C2213yescomplemented
45C4×#10621883C2211yescharacteristic, complemented
46C4×#10621882C2213yescomplemented
47C4×#10621882C2213yescomplemented
48#14582942C2213yescomplemented
49#14582939C2213yescomplemented
50#14582935C2213yescomplemented
51C2×#13063256C2213yescomplemented
52#14582908C2213yescomplemented
53#14582903C2213yes—
54#14582900C2213yescomplemented
55#14582898C2213yes—
56#14582895C2213yescomplemented
57#14582893C2213yes—
58C2×#13063249C2213yescomplemented
59C2×#13063245C2213yes—
60#14582855C2213yescomplemented
61#14582855C2213yescomplemented
62C4×#10621877C2213yescomplemented
63C2×C4×C43⋊C8C2213yescomplemented
64C2×2−1+4×C43C2211yescharacteristic
65C43×#520—23no—
66C43×#520C2211yescharacteristic
67C43×#520C2213yescomplemented
68C43×#519—21no—
69C43×#519C2213yescomplemented
70C4×#41×C43—23no—
71C4×#41×C43C2211yescharacteristic
72C4×#41×C43C2213yescomplemented
73C2×C4×Q8×C43—21no—
74C2×C4×Q8×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#13063332—24no—
92#13063332C2×C418yescomplemented
93C2×#10621877C2313yes—
94C2×#10621877C2313yes—
95C22×C43⋊C8C2313yes—
96C22×C43⋊C8C2313yes—
97Q8×Dic43—21no—
98C4×Dic86C2311yescharacteristic
99C4×Dic86C2313yes—
100C4×D172—23no—
101C4×D172—23no—
102C4×D172C2313yes—
103C4×D172C2316yes—
104C4×D172C2313yes—
105D4×Dic43—23no—
106#13063287—23no—
107#13063287—23no—
108C4×C22⋊D43—23no—
109C4×C22⋊D43—23no—
110(C22⋊D43)⋊C4—26no—
111#13063284C2313yes—
112#13063283—23no—
113#13063282—23no—
114C2×C4⋊Dic43C2313yes—
115C4⋊C4×D43—23no—
116C2×(C2×D43)⋊C4—23no—
117C22⋊C4×D43—26no—
118C42×D43—23no—
119#13063258C2313yes—
120#13063258C2313yes—
121#13063256C2313yes—
122#13063256C2316yes—
123#13063256C2311yescharacteristic
124#13063249C2313yes—
125#13063249C2316yes—
126#13063249C2313yes—
127#13063248C2311yescharacteristic
128#13063248C2313yes—
129#13063246C2311yescharacteristic
130#13063246C2313yes—
131#13063245C2313yes—
132#13063245C2316yes—
133#13063245C2313yes—
134#13063236C2316yes—
135C4×C43⋊C8C2311yescharacteristic
136C4×C43⋊C8C2313yes—
137C4×C43⋊C8C2313yes—
138C4×C43⋊C8C2313yes—
1392−1+4×C43—24no—
1402−1+4×C43C2×C418yescomplemented
141C2×#41×C43—23no—
142C2×#41×C43C2313yes—
143C2×#41×C43C2311yescharacteristic
144C22×Q8×C43—21no—
145C22×Q8×C43C2313yes—
146C4×Q8×C43—21no—
147C4×Q8×C43—23no—
148C4×Q8×C43—23no—
149C4×Q8×C43—23no—
150C4×Q8×C43—23no—
151C4×Q8×C43D411yescharacteristic
152C4×Q8×C43D411yescharacteristic
153C4×Q8×C43C2313yes—
154C4×Q8×C43C2316yes—
155C4×Q8×C43C2313yes—
156C4×D4×C43—23no—
157C4×D4×C43—23no—
158C4×D4×C43—23no—
159C4×D4×C43—26no—
160C4×D4×C43D413yes—
161C4×D4×C43D413yes—
162C4×D4×C43C2311yescharacteristic
163C4×D4×C43C2313yes—
164#117×C43—23no—
165#117×C43—26no—
166#117×C43—23no—
167#117×C43C2313yes—
168#117×C43C2313yes—
169C2×C4⋊C4×C43—23no—
170C2×C4⋊C4×C43—23no—
171C2×C4⋊C4×C43C2313yes—
172C2×C42×C43—23no—
173C2×C42×C43—23no—
174C2×C42×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—21no—
192C22×C4×C43—23no—
193C22×C4×C43—23no—
194C22×C4×C43—23no—
195C22×C4×C43C2×D413yes—
196C22×C4×C43C2×D413yes—
197C22×C4×C43C2413yes—
198C2×C22⋊D43—23no—
199C22×Dic43—23no—
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
214C4⋊C4×C43—26no—
215C4⋊C4×C43—23no—
216C4⋊C4×C43—23no—
217C4⋊C4×C43—23no—
218C4⋊C4×C43C2×D413yes—
219C4⋊C4×C43C2×D413yes—
220C4⋊C4×C43C2413yes—
221C4⋊C4×C43C2411yescharacteristic
222C22⋊C4×C43—21no—
223C22⋊C4×C43—23no—
224C22⋊C4×C43—23no—
225C22⋊C4×C43C2×D416yes—
226C42×C43—23no—
227C42×C43—23no—
228C42×C43—26no—
229C42×C43—23no—
230C42×C43C2×D413yes—
231C42×C43C2×D413yes—
232C42×C43C2411yescharacteristic
233C42×C43C2413yes—
234C22⋊Dic43—23no—
235#10621885C22×C4112yescomplemented
236#10621884C22×C4112yescomplemented
237#10621884C22×C4124yescomplemented
238#10621883C22×C414yescomplemented
239#10621882C22×C4112yescomplemented
240(C2×D43)⋊C4—23no—
241(C2×D43)⋊C4—26no—
242(C2×D43)⋊C4—23no—
243C4⋊Dic43—23no—
244C4⋊Dic43C2413yes—
245C4⋊Dic43C2411yescharacteristic
246Dic43⋊C4—23no—
247Dic43⋊C4—21no—
248C4×Dic43—21no—
249C4×Dic43—23no—
250C4×Dic43—23no—
251#10621877—26no—
252#10621877C22×C4112yescomplemented
253C2×C43⋊C8—26no—
254C2×C43⋊C8C22×C4112yescomplemented
255C2×C43⋊C8C2411yescharacteristic
256C2×C43⋊C8C2413yes—
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—26no—
277C2×C4×C43—21no—
278C2×C4×C43—23no—
279C2×C4×C43—43no—
280C2×C4×C43—42no—
281C2×C4×C43—83no—
282C2×C4×C43—83no—
283C2×C4×C43C23×C416yes—
284C2×C4×C43C22×D413yes—
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C22×D413yes—
287C2×C4×C43C22×D413yes—
288C2×C4×C43C22×D411yescharacteristic
289C2×C4×C43C2×#4116yes—
290C2×C4×C43C2511yescharacteristic
291C22⋊D43—212no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—23no—
295C2×Dic43—83no—
296D172—212no—
297D172—23no—
298D172C23×C416yes—
299C4×D43—212no—
300C4×D43—46no—
301C4×D43—83no—
302C4×D43—86no—
303Dic86—21no—
304Dic86C23×C412yes—
305C43⋊C8—21no—
306C43⋊C8—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—23no—
322C4×C43—21no—
323C4×C43—26no—
324C4×C43—23no—
325C4×C43—43no—
326C4×C43—41no—
327C4×C43C2×C4×D416yes—
328C4×C43#57712yescomplemented
329C4×C43C24×C411yescharacteristic
330C4×C43C22×#4111yescharacteristic
331Dic43—22no—
332Dic43—41no—
333Dic43—43no—
334C2×#577—431no—
335C4×2−1+4D4311yescharacteristic, complemented
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#2898—431no—
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×#131—431no—
364#520—23no—
365#520—431no—
366#520—433no—
367#520—861no—
368#520C2×D4311yescharacteristic
369#520C2×D4313yescomplemented
370#519—21no—
371#519C2×D4313yescomplemented
372#518—433no—
373#518—863no—
374C4×#41—23no—
375C4×#41—433no—
376C4×#41—861no—
377C4×#41C2×D4311yescharacteristic
378C4×#41C2×D4313yescomplemented
379C2×C4×Q8—21no—
380C2×C4×Q8C2×D4313yescomplemented
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#419—433no—
403#418—433no—
404#417—433no—
405#417—433no—
406#416—433no—
407#416—433no—
408C2×#103—433no—
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—438no—
439#131—864no—
440C2×M16—433no—
441C2×M16—433no—
442C22×C8—433no—
443C22×C8—433no—
444C4×Q8—21no—
445C4×Q8—23no—
446C4×Q8—23no—
447C4×Q8—23no—
448C4×Q8—23no—
449C4×Q8—431no—
450C4×Q8—433no—
451C4×Q8—861no—
452C4×Q8C22⋊D4311yescharacteristic
453C4×Q8C22⋊D4311yescharacteristic
454C4×Q8C22×D4313yes—
455C4×Q8C22×D4316yes—
456C4×Q8C22×D4313yes—
457C4×D4—23no—
458C4×D4—23no—
459C4×D4—23no—
460C4×D4—26no—
461C4×D4—433no—
462C4×D4—436no—
463C4×D4—433no—
464C4×D4—863no—
465C4×D4—863no—
466C4×D4—863no—
467C4×D4—863no—
468C4×D4—863no—
469C4×D4—866no—
470C4×D4—863no—
471C4×D4—863no—
472C4×D4C22⋊D4313yes—
473C4×D4C22⋊D4313yes—
474C4×D4C22×D4311yescharacteristic
475C4×D4C22×D4313yes—
476#117—23no—
477#117—26no—
478#117—23no—
479#117—433no—
480#117—863no—
481#117—863no—
482#117C22×D4313yes—
483#117C22×D4313yes—
484C2×C4⋊C4—23no—
485C2×C4⋊C4—23no—
486C2×C4⋊C4—433no—
487C2×C4⋊C4—863no—
488C2×C4⋊C4C22×D4313yes—
489C2×C22⋊C4—863no—
490C2×C22⋊C4—866no—
491C2×C42—23no—
492C2×C42—23no—
493C2×C42—863no—
494C2×C42C22×D4313yes—
495#107—433no—
496#107—433no—
497#106—433no—
498#106—436no—
499#106—431no—
500#103—433no—
501#103—436no—
502#103—433no—
503#103—431no—
504#103—433no—
505#102—431no—
506#102—433no—
507#102—433no—
508#102—436no—
509#102—433no—
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#1062189814yes—
524C2×Q8—28no—
525C2×Q8—23no—
526C2×Q8—26no—
527C2×Q8—431no—
528C2×Q8C2×C4×D43112yescomplemented
529C2×Q8C2×C22⋊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×D4C2×C22⋊D4313yes—
539C2×D4C23×D4311yescharacteristic
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—23no—
543C22×C4—21no—
544C22×C4—23no—
545C22×C4—863no—
546C22×C4—863no—
547C22×C4—863no—
548C22×C4—866no—
549C22×C4—863no—
550C22×C4—3446no—
551C22×C4C2×C22⋊D4313yes—
552C22×C4C2×C22⋊D4313yes—
553C22×C4C23×D4313yes—
554Q16—4312no—
555SD16—4312no—
556SD16—4324no—
557SD16—434no—
558D8—4312no—
559M16—4312no—
560M16—866no—
561C2×C8—4312no—
562C2×C8—431no—
563C2×C8—433no—
564C2×C8—431no—
565C2×C8—433no—
566C2×C8—866no—
567C4⋊C4—26no—
568C4⋊C4—23no—
569C4⋊C4—23no—
570C4⋊C4—23no—
571C4⋊C4—433no—
572C4⋊C4—431no—
573C4⋊C4—863no—
574C4⋊C4—863no—
575C4⋊C4—861no—
576C4⋊C4C2×C22⋊D4313yes—
577C4⋊C4C2×C22⋊D4313yes—
578C4⋊C4C23×D4313yes—
579C4⋊C4C23×D4311yescharacteristic
580C22⋊C4—23no—
581C22⋊C4—21no—
582C22⋊C4—23no—
583C22⋊C4—863no—
584C22⋊C4—863no—
585C22⋊C4—866no—
586C22⋊C4—863no—
587C22⋊C4C2×C22⋊D4316yes—
588C42—23no—
589C42—26no—
590C42—23no—
591C42—23no—
592C42—863no—
593C42—863no—
594C42—861no—
595C42C2×C22⋊D4313yes—
596C42C2×C22⋊D4313yes—
597C42C23×D4313yes—
598C42C23×D4311yescharacteristic
599C23—21no—
600C23—8612no—
601C23—863no—
602C23—3443no—
603C23—3443no—
604C23C22×C22⋊D4313yes—
605Q8—212no—
606Q8—23no—
607Q8—432no—
608Q8—861no—
609Q8C4×C22⋊D4314yes—
610Q8C22×C4×D4316yes—
611D4—212no—
612D4—21no—
613D4—436no—
614D4—8612no—
615D4—8612no—
616D4—863no—
617D4C4×C22⋊D43112yes—
618D4C22×C4×D4312yes—
619C2×C4—212no—
620C2×C4—23no—
621C2×C4—212no—
622C2×C4—26no—
623C2×C4—21no—
624C2×C4—23no—
625C2×C4—43no—
626C2×C4—42no—
627C2×C4—83no—
628C2×C4—83no—
629C2×C4—861no—
630C2×C4—8612no—
631C2×C4—861no—
632C2×C4—863no—
633C2×C4—3446no—
634C2×C4—3443no—
635C2×C4—3443no—
636C2×C4—1726no—
637C2×C4C22×C4×D4316yes—
638C2×C4C22×C22⋊D4313yes—
639C2×C4C22×C22⋊D4313yes—
640C2×C4C22×C22⋊D4311yescharacteristic
641C2×C4C22×C22⋊D4313yes—
642C2×C4C22×C22⋊D4311yescharacteristic
643C2×C4C2×#1062189816yes—
644C2×C4C24×D4311yescharacteristic
645C8—432no—
646C8—436no—
647C8—861no—
648C8—863no—
649C22—23no—
650C22—23no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—866no—
655C22—34412no—
656C22—1723no—
657C22—1723no—
658C22C2×C4×C22⋊D4316yes—
659C22C23×C22⋊D4311yescharacteristic
660C4—23no—
661C4—21no—
662C4—23no—
663C4—26no—
664C4—41no—
665C4—43no—
666C4—862no—
667C4—1723no—
668C4—1721no—
669C4C2×C4×C22⋊D4316yes—
670C4#1458370712yesdirect product factor
671C4C23×C4×D4311yescharacteristic
672C4C22×#1062189811yescharacteristic
673C2—26no—
674C2—42no—
675C2—1726no—
676C2C22×C4×C22⋊D4311yescharacteristic
677C2C2×#1458370711yescharacteristic
678C2#1914936611yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC4×2−1+4×C43C2
socleC22×C43C23×D4
prime radicalC2×#14583707C2
cosocleC2×C4×C43C25
hypercenterC4×2−1+4D43
hypocenterC43C4×#577
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C4×2−1+4

Complements

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

NH ≅ G/Ntype
2. C4×#13063371C2semidirect
3. #19143476C2semidirect
4. #19143454C2semidirect
5. #19143438C2semidirect
6. #19143423C2semidirect
7. C4×#13063356C2semidirect
8. C4×#13063350C2semidirect
9. C4×#13063345C2semidirect
10. C2×C4×#10621884C2semidirect
11. #19143188C2semidirect
12. #19143128C2semidirect
13. #19143118C2semidirect
14. C4×#13063332C2semidirect
15. C4×2−1+4×C43C2semidirect
17. #14583707C4direct (N × H)
33. #14583009C22semidirect
34. #14583004C22semidirect
35. #14582997C22semidirect
36. #14582997C22semidirect
37. C4×#10621885C22semidirect
38. C4×#10621885C22semidirect
39. C4×#10621884C22semidirect
40. C4×#10621884C22semidirect
41. C4×#10621884C22semidirect
42. C4×#10621884C22semidirect
43. C4×#10621884C22semidirect
44. C4×#10621883C22semidirect
45. C4×#10621883C22semidirect
46. C4×#10621882C22semidirect
47. C4×#10621882C22semidirect
48. #14582942C22semidirect
49. #14582939C22semidirect
50. #14582935C22semidirect
51. C2×#13063256C22semidirect
52. #14582908C22semidirect
54. #14582900C22semidirect
56. #14582895C22semidirect
58. C2×#13063249C22semidirect
60. #14582855C22semidirect
61. #14582855C22semidirect
62. C4×#10621877C22semidirect
63. C2×C4×C43⋊C8C22semidirect
67. C43×#520C22semidirect
69. C43×#519C22semidirect
72. C4×#41×C43C22semidirect
74. C2×C4×Q8×C43C22semidirect
76. #13063371C2×C4semidirect
82. #13063356C2×C4semidirect
83. #13063350C2×C4semidirect
84. #13063345C2×C4semidirect
87. C2×#10621884C2×C4semidirect
92. #13063332C2×C4semidirect
140. 2−1+4×C43C2×C4semidirect
179. #41×C43C22×C4semidirect
184. C2×Q8×C43C22×C4semidirect
235. #10621885C22×C4semidirect
236. #10621884C22×C4semidirect
237. #10621884C22×C4semidirect
238. #10621883C22×C4semidirect
239. #10621882C22×C4semidirect
252. #10621877C22×C4semidirect
254. C2×C43⋊C8C22×C4semidirect
328. C4×C43#577semidirect
335. C4×2−1+4D43semidirect
369. #520C2×D43semidirect
371. #519C2×D43semidirect
378. C4×#41C2×D43semidirect
380. C2×C4×Q8C2×D43semidirect
414. C43C4×#577semidirect
416. 2−1+4C4×D43semidirect
522. #41C2×C4×D43semidirect
528. C2×Q8C2×C4×D43semidirect
670. C4#14583707direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145837072
C4×#130633712
#191434762
#191434542
#191434382
#191434232
C4×#130633562
C4×#130633502
C4×#130633452
C2×C4×#106218842
#191431882
#191431282
#191431182
C4×#130633322
C4×2−1+4×C432
C4×#57743