Finite Group Databasebeta

← C4×#14583702 #25960814

Subgroups — C4×#14583702 #25960814

Order 11008.

2826 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583702C211yesmaximal, characteristic
2C4×#13063371C211yesmaximal, characteristic, complemented
3#19143468C213yesmaximal, complemented
4#19143445C213yesmaximal, complemented
5#19143427C213yesmaximal, complemented
6#19143423C213yesmaximal, complemented
7C4×#13063351C213yesmaximal, complemented
8C4×#13063350C213yesmaximal, complemented
9C4×#13063345C213yesmaximal, complemented
10C2×C4×#10621882C213yesmaximal, complemented
11#19143193C211yesmaximal, characteristic, complemented
12#19143121C211yesmaximal, characteristic, complemented
13#19143118C211yesmaximal, characteristic, complemented
14C4×#13063332C211yesmaximal, characteristic, complemented
15C4×H(5,𝔽2)×C43C211yesmaximal, characteristic, complemented
16C2×#13063371C2211yescharacteristic
17#14583702C4116yesdirect product factor
18C2×#13063351C2213yes—
19C2×#13063350C2213yes—
20C2×#13063345C2213yes—
21C22×#10621882C2213yes—
22C2×#13063332C2211yescharacteristic
23C2×#13063332C2211yescharacteristic
24#14583382C2211yescharacteristic
25#14583381—21no—
26#14583379C2213yescomplemented
27#14583373C2213yescomplemented
28#14583371—23no—
29C4×#10621902—21no—
30C4×#10621898C2213yescomplemented
31C2×C4×D172C2213yescomplemented
32C4×D4×D43—23no—
33#14583009C2216yescomplemented
34#14583009C2216yescomplemented
35#14582999C2216yescomplemented
36#14582997C2216yescomplemented
37C4×#10621885C2213yescomplemented
38C4×#10621885C2211yescharacteristic, complemented
39C4×#10621884C2213yescomplemented
40C4×#10621884C2213yescomplemented
41C4×#10621883C2213yescomplemented
42C4×#10621883C2213yescomplemented
43C4×#10621882C2216yescomplemented
44C4×#10621882C2213yescomplemented
45C4×#10621882C2216yescomplemented
46C4×#10621882C2213yescomplemented
47C4×#10621882C2216yescomplemented
48#14582942C2213yescomplemented
49#14582939C2213yescomplemented
50#14582935C2213yescomplemented
51C2×#13063258C2213yescomplemented
52#14582904C2213yescomplemented
53#14582903C2213yescomplemented
54#14582900C2213yescomplemented
55#14582898C2213yescomplemented
56#14582895C2213yescomplemented
57#14582893C2213yescomplemented
58C2×#13063246C2213yescomplemented
59C2×#13063245C2213yescomplemented
60#14582855C2213yescomplemented
61#14582855C2213yescomplemented
62C4×#10621877C2213yescomplemented
63C2×C4×C43⋊C8C2213yescomplemented
64C2×H(5,𝔽2)×C43C2211yescharacteristic
65C43×#520—21no—
66C43×#520C2211yescharacteristic
67C43×#520C2213yescomplemented
68C43×#518—23no—
69C43×#518C2213yescomplemented
70C4×#41×C43—21no—
71C4×#41×C43C2211yescharacteristic
72C4×#41×C43C2213yescomplemented
73C2×C4×D4×C43—23no—
74C2×C4×D4×C43C2213yescomplemented
75#13063371—24no—
76#13063371C2×C418yescomplemented
77C2×#10621902—21no—
78C2×#10621898C2313yes—
79C22×D172C2313yes—
80C2×D4×D43—23no—
81C22×C4×D43—23no—
82#13063351C2×C4124yescomplemented
83#13063350C2×C4124yescomplemented
84#13063345C2×C4124yescomplemented
85C2×#10621885C2311yescharacteristic
86C2×#10621883C2313yes—
87C2×#10621884C2313yes—
88C2×#10621882C2×C4124yescomplemented
89C2×#10621882C2313yes—
90C2×#10621882C2316yes—
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#13063258C2316yes—
121#13063258C2311yescharacteristic
122#13063256C2313yes—
123#13063256C2313yes—
124#13063249C2311yescharacteristic
125#13063249C2313yes—
126#13063248C2311yescharacteristic
127#13063248C2313yes—
128#13063246C2313yes—
129#13063246C2316yes—
130#13063246C2313yes—
131#13063245C2313yes—
132#13063245C2316yes—
133#13063245C2313yes—
134#13063236C2316yes—
135C4×C43⋊C8C2311yescharacteristic
136C4×C43⋊C8C2313yes—
137C4×C43⋊C8C2313yes—
138C4×C43⋊C8C2313yes—
139H(5,𝔽2)×C43—24no—
140H(5,𝔽2)×C43C2×C418yescomplemented
141C2×#41×C43—21no—
142C2×#41×C43C2313yes—
143C2×#41×C43C2311yescharacteristic
144C22×D4×C43—23no—
145C22×D4×C43C2313yes—
146C23×C4×C43—23no—
147C4×Q8×C43—21no—
148C4×Q8×C43D411yescharacteristic
149C4×Q8×C43D411yescharacteristic
150C4×Q8×C43C2311yescharacteristic
151C4×Q8×C43C2313yes—
152C4×D4×C43—23no—
153C4×D4×C43—23no—
154C4×D4×C43—23no—
155C4×D4×C43—23no—
156C4×D4×C43—23no—
157C4×D4×C43—26no—
158C4×D4×C43—23no—
159C4×D4×C43—23no—
160C4×D4×C43D413yes—
161C4×D4×C43D413yes—
162C4×D4×C43C2313yes—
163C4×D4×C43C2316yes—
164C4×D4×C43C2313yes—
165#117×C43—23no—
166#117×C43—23no—
167#117×C43C2313yes—
168#117×C43C2313yes—
169C2×C4⋊C4×C43—23no—
170C2×C4⋊C4×C43C2313yes—
171C2×C22⋊C4×C43—23no—
172C2×C22⋊C4×C43—26no—
173C2×C42×C43—23no—
174C2×C42×C43C2313yes—
175C24×C43—23no—
176C23×D43—23no—
177#41×C43—28no—
178#41×C43—26no—
179#41×C43C22×C414yes—
180#41×C43C22×C4112yescomplemented
181#41×C43#4114yes—
182C2×Q8×C43C2×D411yescharacteristic
183C2×Q8×C43C2411yescharacteristic
184C2×D4×C43—224no—
185C2×D4×C43—23no—
186C2×D4×C43—26no—
187C2×D4×C43—23no—
188C2×D4×C43C22×C4112yescomplemented
189C2×D4×C43C2×D413yes—
190C2×D4×C43C2413yes—
191C22×C4×C43—23no—
192C22×C4×C43—23no—
193C22×C4×C43—23no—
194C22×C4×C43—26no—
195C22×C4×C43—23no—
196C22×C4×C43—86no—
197C22×C4×C43C2×D413yes—
198C22×C4×C43C2×D413yes—
199C22×C4×C43C2413yes—
200C2×C22⋊D43—23no—
201C22×Dic43—23no—
202#10621902—28no—
203D4×D43—224no—
204#10621898—26no—
205#10621898C22×C4112yescomplemented
206C2×D172—23no—
207C2×D172—26no—
208C2×D172C22×C4112yescomplemented
209C2×D172C2413yes—
210C2×C4×D43—23no—
211C2×C4×D43—23no—
212C2×C4×D43—23no—
213C2×C4×D43—26no—
214C2×C4×D43—86no—
215C2×Dic86C2411yescharacteristic
216C4⋊C4×C43—23no—
217C4⋊C4×C43—23no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43C2×D413yes—
220C4⋊C4×C43C2×D413yes—
221C4⋊C4×C43C2413yes—
222C4⋊C4×C43C2411yescharacteristic
223C22⋊C4×C43—23no—
224C22⋊C4×C43—26no—
225C22⋊C4×C43—23no—
226C22⋊C4×C43—23no—
227C22⋊C4×C43C2×D416yes—
228C42×C43—21no—
229C42×C43—23no—
230C42×C43—23no—
231C42×C43C2×D413yes—
232C42×C43C2×D413yes—
233C42×C43C2411yescharacteristic
234C42×C43C2413yes—
235C22⋊Dic43—23no—
236#10621885C22×C414yescomplemented
237#10621884C22×C4112yescomplemented
238#10621883C22×C4112yescomplemented
239#10621882C22×C4112yescomplemented
240#10621882C22×C4124yescomplemented
241(C2×D43)⋊C4—23no—
242(C2×D43)⋊C4—26no—
243(C2×D43)⋊C4—23no—
244C4⋊Dic43—23no—
245C4⋊Dic43C2411yescharacteristic
246C4⋊Dic43C2413yes—
247Dic43⋊C4—23no—
248Dic43⋊C4—21no—
249C4×Dic43—21no—
250C4×Dic43—23no—
251C4×Dic43—23no—
252#10621877—26no—
253#10621877C22×C4112yescomplemented
254C2×C43⋊C8—26no—
255C2×C43⋊C8C22×C4112yescomplemented
256C2×C43⋊C8C2411yescharacteristic
257C2×C43⋊C8C2413yes—
258C2×C43⋊C8C2411yescharacteristic
259C2×C43⋊C8C2413yes—
260C23×C43—23no—
261C23×C43—212no—
262C23×C43—83no—
263C23×C43—83no—
264C23×C43C22×D413yes—
265C22×D43—23no—
266C22×D43—212no—
267C22×D43—83no—
268C22×D43—83no—
269Q8×C43—21no—
270Q8×C43C4×D414yes—
271Q8×C43C23×C412yes—
272D4×C43—212no—
273D4×C43—212no—
274D4×C43—23no—
275D4×C43C4×D4112yes—
276D4×C43C23×C416yes—
277C2×C4×C43—21no—
278C2×C4×C43—212no—
279C2×C4×C43—26no—
280C2×C4×C43—21no—
281C2×C4×C43—23no—
282C2×C4×C43—43no—
283C2×C4×C43—46no—
284C2×C4×C43—83no—
285C2×C4×C43—86no—
286C2×C4×C43—83no—
287C2×C4×C43C23×C416yes—
288C2×C4×C43C22×D413yes—
289C2×C4×C43C22×D411yescharacteristic
290C2×C4×C43C22×D413yes—
291C2×C4×C43C22×D413yes—
292C2×C4×C43C22×D411yescharacteristic
293C2×C4×C43C2×#4116yes—
294C2×C4×C43C2511yescharacteristic
295C22⋊D43—212no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—23no—
299C2×Dic43—83no—
300D172—212no—
301D172—23no—
302D172C23×C416yes—
303C4×D43—212no—
304C4×D43—46no—
305C4×D43—83no—
306C4×D43—86no—
307Dic86—21no—
308Dic86C23×C412yes—
309C43⋊C8—21no—
310C43⋊C8—23no—
311C43⋊C8C23×C412yes—
312C43⋊C8C23×C416yes—
313C4×#576—431nomaximal, Sylow
314C22×C43—23no—
315C22×C43—23no—
316C22×C43—26no—
317C22×C43—43no—
318C22×C43—43no—
319C22×C43—812no—
320C22×C43C2×C4×D416yes—
321C22×C43C23×D411yescharacteristic
322C2×D43—26no—
323C2×D43—43no—
324C2×D43—43no—
325C2×D43—812no—
326C4×C43—23no—
327C4×C43—21no—
328C4×C43—22no—
329C4×C43—23no—
330C4×C43—41no—
331C4×C43—43no—
332C4×C43C2×C4×D416yes—
333C4×C43#57612yescomplemented
334C4×C43C24×C411yescharacteristic
335C4×C43C22×#4111yescharacteristic
336Dic43—22no—
337Dic43—41no—
338Dic43—43no—
339C2×#576—431no—
340C4×H(5,𝔽2)—431no—
341C4×H(5,𝔽2)D4311yescharacteristic, complemented
342#2951—433no—
343#2948—433no—
344#2946—433no—
345#2946—433no—
346C4×AGL(1,ℤ/8)—433no—
347C4×AGL(1,ℤ/8)—433no—
348C4×#135—433no—
349C2×C4×D8—433no—
350#2913—431no—
351#2897—431no—
352#2897—431no—
353C4×#131—431no—
354C2×C43—26no—
355C2×C43—46no—
356C2×C43C22×C4×D411yescharacteristic
357C2×C43C2×#57611yescharacteristic
358C2×C43#358411yescharacteristic
359D43—46no—
360C2×H(5,𝔽2)—431no—
361C2×H(5,𝔽2)C2×D4311yescharacteristic
362#576—4316no—
363C2×AGL(1,ℤ/8)—433no—
364C2×AGL(1,ℤ/8)—433no—
365C2×#135—433no—
366C22×D8—433no—
367C2×#131—431no—
368C2×#131—431no—
369#520—21no—
370#520—431no—
371#520—433no—
372#520—861no—
373#520C2×D4311yescharacteristic
374#520C2×D4313yescomplemented
375#518—23no—
376#518—433no—
377#518—863no—
378#518C2×D4313yescomplemented
379C4×#41—21no—
380C4×#41—433no—
381C4×#41—861no—
382C4×#41C2×D4311yescharacteristic
383C4×#41C2×D4313yescomplemented
384C2×C4×D4—23no—
385C2×C4×D4—433no—
386C2×C4×D4—863no—
387C2×C4×D4C2×D4313yescomplemented
388#442—436no—
389#442—436no—
390#440—436no—
391#440—436no—
392C4×Q16—431no—
393C4×Q16—433no—
394C4×SD16—433no—
395C4×SD16—433no—
396C4×SD16—433no—
397C4×SD16—433no—
398C4×D8—433no—
399C4×D8—436no—
400C4×D8—436no—
401C4×D8—436no—
402C4×D8—433no—
403#428—433no—
404#428—433no—
405#427—433no—
406C2×#107—433no—
407#418—433no—
408#418—433no—
409#417—433no—
410#417—433no—
411#416—433no—
412#416—433no—
413C2×#102—433no—
414C2×#102—433no—
415#405—433no—
416#405—433no—
417C4×M16—433no—
418C2×C4×C8—433no—
419C43C4×#57611yescharacteristic, complemented, Sylow
420H(5,𝔽2)—24no—
421H(5,𝔽2)—438no—
422H(5,𝔽2)—864no—
423H(5,𝔽2)C4×D4318yescomplemented
424C2×#41—21no—
425C2×#41—433no—
426C2×#41—861no—
427C2×#41C22×D4313yes—
428C2×#41C22×D4311yescharacteristic
429C22×D4—23no—
430C22×D4—433no—
431C22×D4—863no—
432C22×D4C22×D4313yes—
433C23×C4—23no—
434C23×C4—863no—
435AGL(1,ℤ/8)—4324no—
436AGL(1,ℤ/8)—4324no—
437#135—4324no—
438C2×Q16—431no—
439C2×SD16—433no—
440C2×SD16—433no—
441C2×D8—4324no—
442C2×D8—433no—
443C2×D8—436no—
444#131—438no—
445#131—864no—
446C2×M16—433no—
447C2×M16—433no—
448C22×C8—433no—
449C22×C8—433no—
450C4×Q8—21no—
451C4×Q8—431no—
452C4×Q8—433no—
453C4×Q8—861no—
454C4×Q8C22⋊D4311yescharacteristic
455C4×Q8C22⋊D4311yescharacteristic
456C4×Q8C22×D4311yescharacteristic
457C4×Q8C22×D4313yes—
458C4×D4—23no—
459C4×D4—23no—
460C4×D4—23no—
461C4×D4—23no—
462C4×D4—23no—
463C4×D4—26no—
464C4×D4—23no—
465C4×D4—23no—
466C4×D4—433no—
467C4×D4—436no—
468C4×D4—433no—
469C4×D4—863no—
470C4×D4—863no—
471C4×D4—863no—
472C4×D4—863no—
473C4×D4—863no—
474C4×D4—866no—
475C4×D4—863no—
476C4×D4—863no—
477C4×D4C22⋊D4313yes—
478C4×D4C22⋊D4313yes—
479C4×D4C22×D4313yes—
480C4×D4C22×D4316yes—
481C4×D4C22×D4313yes—
482#117—23no—
483#117—23no—
484#117—433no—
485#117—863no—
486#117—863no—
487#117C22×D4313yes—
488#117C22×D4313yes—
489C2×C4⋊C4—23no—
490C2×C4⋊C4—433no—
491C2×C4⋊C4—863no—
492C2×C4⋊C4C22×D4313yes—
493C2×C22⋊C4—23no—
494C2×C22⋊C4—26no—
495C2×C22⋊C4—863no—
496C2×C22⋊C4—866no—
497C2×C42—23no—
498C2×C42—863no—
499C2×C42C22×D4313yes—
500#107—433no—
501#107—436no—
502#107—431no—
503#106—433no—
504#106—433no—
505#103—431no—
506#103—433no—
507#103—431no—
508#103—433no—
509#102—433no—
510#102—436no—
511#102—433no—
512#102—433no—
513#102—436no—
514#102—433no—
515#97—436no—
516C4×C8—431no—
517C4×C8—433no—
518C4×C8—433no—
519C4×C8—433no—
520C24—23no—
521C24—863no—
522#41—28no—
523#41—26no—
524#41—4312no—
525#41—868no—
526#41—866no—
527#41C2×C4×D4314yes—
528#41C2×C4×D43112yescomplemented
529#41#1062189814yes—
530C2×Q8—431no—
531C2×Q8C2×C22⋊D4311yescharacteristic
532C2×Q8C23×D4311yescharacteristic
533C2×D4—23no—
534C2×D4—224no—
535C2×D4—23no—
536C2×D4—26no—
537C2×D4—4312no—
538C2×D4—433no—
539C2×D4—863no—
540C2×D4—8624no—
541C2×D4—863no—
542C2×D4—866no—
543C2×D4C2×C4×D43112yescomplemented
544C2×D4C2×C22⋊D4313yes—
545C2×D4C23×D4313yes—
546C22×C4—23no—
547C22×C4—23no—
548C22×C4—23no—
549C22×C4—23no—
550C22×C4—26no—
551C22×C4—86no—
552C22×C4—863no—
553C22×C4—863no—
554C22×C4—863no—
555C22×C4—866no—
556C22×C4—863no—
557C22×C4—3446no—
558C22×C4C2×C22⋊D4313yes—
559C22×C4C2×C22⋊D4313yes—
560C22×C4C23×D4313yes—
561Q16—434no—
562SD16—4312no—
563SD16—4312no—
564D8—4312no—
565D8—4324no—
566M16—4312no—
567M16—866no—
568C2×C8—4312no—
569C2×C8—431no—
570C2×C8—433no—
571C2×C8—431no—
572C2×C8—433no—
573C2×C8—866no—
574C4⋊C4—23no—
575C4⋊C4—23no—
576C4⋊C4—21no—
577C4⋊C4—431no—
578C4⋊C4—433no—
579C4⋊C4—863no—
580C4⋊C4—863no—
581C4⋊C4—861no—
582C4⋊C4C2×C22⋊D4313yes—
583C4⋊C4C2×C22⋊D4313yes—
584C4⋊C4C23×D4311yescharacteristic
585C4⋊C4C23×D4313yes—
586C22⋊C4—23no—
587C22⋊C4—23no—
588C22⋊C4—26no—
589C22⋊C4—23no—
590C22⋊C4—863no—
591C22⋊C4—863no—
592C22⋊C4—866no—
593C22⋊C4—863no—
594C22⋊C4C2×C22⋊D4316yes—
595C42—23no—
596C42—23no—
597C42—21no—
598C42—863no—
599C42—863no—
600C42—861no—
601C42C2×C22⋊D4313yes—
602C42C2×C22⋊D4313yes—
603C42C23×D4313yes—
604C42C23×D4311yescharacteristic
605C23—23no—
606C23—212no—
607C23—83no—
608C23—83no—
609C23—8612no—
610C23—863no—
611C23—3443no—
612C23—3443no—
613C23C22×C22⋊D4313yes—
614Q8—21no—
615Q8—432no—
616Q8—861no—
617Q8C4×C22⋊D4314yes—
618Q8C22×C4×D4312yes—
619D4—212no—
620D4—212no—
621D4—23no—
622D4—436no—
623D4—8612no—
624D4—8612no—
625D4—863no—
626D4C4×C22⋊D43112yes—
627D4C22×C4×D4316yes—
628C2×C4—21no—
629C2×C4—212no—
630C2×C4—26no—
631C2×C4—21no—
632C2×C4—23no—
633C2×C4—43no—
634C2×C4—46no—
635C2×C4—86no—
636C2×C4—83no—
637C2×C4—83no—
638C2×C4—861no—
639C2×C4—8612no—
640C2×C4—861no—
641C2×C4—863no—
642C2×C4—3446no—
643C2×C4—3443no—
644C2×C4—3443no—
645C2×C4—1726no—
646C2×C4C22×C4×D4316yes—
647C2×C4C22×C22⋊D4313yes—
648C2×C4C22×C22⋊D4311yescharacteristic
649C2×C4C22×C22⋊D4313yes—
650C2×C4C22×C22⋊D4313yes—
651C2×C4C22×C22⋊D4311yescharacteristic
652C2×C4C2×#1062189816yes—
653C2×C4C24×D4311yescharacteristic
654C8—432no—
655C8—436no—
656C8—861no—
657C8—863no—
658C22—23no—
659C22—23no—
660C22—26no—
661C22—43no—
662C22—43no—
663C22—812no—
664C22—866no—
665C22—34412no—
666C22—1723no—
667C22—1723no—
668C22C2×C4×C22⋊D4316yes—
669C22C23×C22⋊D4311yescharacteristic
670C4—23no—
671C4—21no—
672C4—23no—
673C4—22no—
674C4—43no—
675C4—41no—
676C4—862no—
677C4—1723no—
678C4—1721no—
679C4C2×C4×C22⋊D4316yes—
680C4#1458370212yesdirect product factor
681C4C23×C4×D4311yescharacteristic
682C4C22×#1062189811yescharacteristic
683C2—26no—
684C2—46no—
685C2—1726no—
686C2C22×C4×C22⋊D4311yescharacteristic
687C2C2×#1458370211yescharacteristic
688C2#1914936611yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC4×H(5,𝔽2)×C43C2
socleC22×C43C23×D4
prime radicalC2×#14583702C2
cosocleC2×C4×C43C25
hypercenterC4×H(5,𝔽2)D43
hypocenterC43C4×#576
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
2. C4×#13063371C2semidirect
3. #19143468C2semidirect
4. #19143445C2semidirect
5. #19143427C2semidirect
6. #19143423C2semidirect
7. C4×#13063351C2semidirect
8. C4×#13063350C2semidirect
9. C4×#13063345C2semidirect
10. C2×C4×#10621882C2semidirect
11. #19143193C2semidirect
12. #19143121C2semidirect
13. #19143118C2semidirect
14. C4×#13063332C2semidirect
15. C4×H(5,𝔽2)×C43C2semidirect
17. #14583702C4direct (N × H)
26. #14583379C22semidirect
27. #14583373C22semidirect
30. C4×#10621898C22semidirect
31. C2×C4×D172C22semidirect
33. #14583009C22semidirect
34. #14583009C22semidirect
35. #14582999C22semidirect
36. #14582997C22semidirect
37. C4×#10621885C22semidirect
38. C4×#10621885C22semidirect
39. C4×#10621884C22semidirect
40. C4×#10621884C22semidirect
41. C4×#10621883C22semidirect
42. C4×#10621883C22semidirect
43. C4×#10621882C22semidirect
44. C4×#10621882C22semidirect
45. C4×#10621882C22semidirect
46. C4×#10621882C22semidirect
47. C4×#10621882C22semidirect
48. #14582942C22semidirect
49. #14582939C22semidirect
50. #14582935C22semidirect
51. C2×#13063258C22semidirect
52. #14582904C22semidirect
53. #14582903C22semidirect
54. #14582900C22semidirect
55. #14582898C22semidirect
56. #14582895C22semidirect
57. #14582893C22semidirect
58. C2×#13063246C22semidirect
59. C2×#13063245C22semidirect
60. #14582855C22semidirect
61. #14582855C22semidirect
62. C4×#10621877C22semidirect
63. C2×C4×C43⋊C8C22semidirect
67. C43×#520C22semidirect
69. C43×#518C22semidirect
72. C4×#41×C43C22semidirect
74. C2×C4×D4×C43C22semidirect
76. #13063371C2×C4semidirect
82. #13063351C2×C4semidirect
83. #13063350C2×C4semidirect
84. #13063345C2×C4semidirect
88. C2×#10621882C2×C4semidirect
92. #13063332C2×C4semidirect
140. H(5,𝔽2)×C43C2×C4semidirect
180. #41×C43C22×C4semidirect
188. C2×D4×C43C22×C4semidirect
205. #10621898C22×C4semidirect
208. C2×D172C22×C4semidirect
236. #10621885C22×C4semidirect
237. #10621884C22×C4semidirect
238. #10621883C22×C4semidirect
239. #10621882C22×C4semidirect
240. #10621882C22×C4semidirect
253. #10621877C22×C4semidirect
255. C2×C43⋊C8C22×C4semidirect
333. C4×C43#576semidirect
341. C4×H(5,𝔽2)D43semidirect
374. #520C2×D43semidirect
378. #518C2×D43semidirect
383. C4×#41C2×D43semidirect
387. C2×C4×D4C2×D43semidirect
419. C43C4×#576semidirect
423. H(5,𝔽2)C4×D43semidirect
528. #41C2×C4×D43semidirect
543. C2×D4C2×C4×D43semidirect
680. C4#14583702direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145837022
C4×#130633712
#191434682
#191434452
#191434272
#191434232
C4×#130633512
C4×#130633502
C4×#130633452
C2×C4×#106218822
#191431932
#191431212
#191431182
C4×#130633322
C4×H(5,𝔽2)×C432
C4×#57643