Finite Group Databasebeta

← #25100527

Subgroups — #25100527

Order 11008.

1566 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063357C211yesmaximal, characteristic
2C2×#14582938C211yesmaximal, characteristic, complemented
3C2×#14582899C211yesmaximal, characteristic
4C2×#14582906C211yesmaximal, characteristic, complemented
5C2×#14582851C211yesmaximal, characteristic, complemented
6#19137084C211yesmaximal, characteristic
7#391×D43C211yesmaximal, characteristic, complemented
8#19135479C211yesmaximal, characteristic, complemented
9#19135476C211yesmaximal, characteristic, complemented
10#19135465C211yesmaximal, characteristic, complemented
11#19135457C211yesmaximal, characteristic, complemented
12#19135453C211yesmaximal, characteristic, complemented
13#19135447C211yesmaximal, characteristic, complemented
14#19135446C211yesmaximal, characteristic, complemented
15C43×#1971C211yesmaximal, characteristic, complemented
16C22×#10621902C2211yescharacteristic
17C22×Q8×D43C2211yescharacteristic
18C2×#13063357—24no—
19C2×#13063357—24no—
20C2×#13063357C418yescomplemented
21C22×#10621885C2211yescharacteristic
22C22×#10621873C2211yescharacteristic
23C22×#10621884C2211yescharacteristic
24C22×#10621872C2211yescharacteristic
25C22×#10621872C2211yescharacteristic
26C2×#13063283C2211yescharacteristic
27C2×C4⋊C4×D43C2211yescharacteristic
28C2×C42×D43C2211yescharacteristic
29#14582938—24no—
30C2×#13063259C2211yescharacteristic
31C2×#13063258C2211yescharacteristic
32C2×#13063256C2211yescharacteristic
33#14582906—24no—
34#14582899—24no—
35C2×#13063250C2211yescharacteristic
36C2×#13063249C2211yescharacteristic
37C2×#13063249C2211yescharacteristic
38C2×#13063248C2211yescharacteristic
39C2×#13063247C2211yescharacteristic
40C2×#13063245C2211yescharacteristic
41#14582851—24no—
42C2×#13063236C2211yescharacteristic
43C2×C8×Dic43C2211yescharacteristic
44C2×C8×Dic43C2211yescharacteristic
45#14582806C2211yescharacteristic
46#14582806C2211yescharacteristic
47#14582805C2211yescharacteristic
48#14582804C2211yescharacteristic
49#14582803—22no—
50#14582801C2211yescharacteristic
51#14582800C2211yescharacteristic
52#14582777—22no—
53#14582746—22no—
54#95×D43—22no—
55C22×Q16×C43C2211yescharacteristic
56C2×#106×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#97×C43C2211yescharacteristic
60C43×#391C2211yescharacteristic
61C43×#391C2211yescharacteristic
62C2×#10621902—22no—
63C2×#10621902—22no—
64C2×#10621902—22no—
65C2×#10621902—22no—
66C2×#10621902—22no—
67C2×#10621902C2×C414yes—
68C22×Dic86—21no—
69C22×Dic86C2311yescharacteristic
70C2×Q8×D43—22no—
71C2×Q8×D43—22no—
72C2×Q8×D43—22no—
73C2×Q8×D43—22no—
74C2×Q8×D43—22no—
75C2×Q8×D43C2×C414yes—
76C22×D172—21no—
77C22×D172C2311yescharacteristic
78C22×C4×D43—21no—
79C22×C4×D43—21no—
80C22×C4×D43—21no—
81C22×C4×D43D412yes—
82C22×C4×D43C2311yescharacteristic
83#13063357—232no—
84C2×#10621885—22no—
85C2×#10621885—22no—
86C2×#10621885C2×C414yescomplemented
87C2×#10621873—22no—
88C2×#10621873—22no—
89C2×#10621873C2×C414yescomplemented
90C2×#10621884—22no—
91C2×#10621884—22no—
92C2×#10621884C2×C414yescomplemented
93C2×#10621872—22no—
94C2×#10621872—22no—
95C2×#10621872C2×C414yes—
96C2×#10621872D414yes—
97C2×#10621872D414yes—
98C2×#10621872D414yes—
99C22×C43⋊C8C2311yescharacteristic
100C22×C43⋊C8C2311yescharacteristic
101#13063283—22no—
102#13063283—22no—
103C2×C4⋊Dic43C2311yescharacteristic
104C2×C4⋊Dic43C2311yescharacteristic
105C2×Dic43⋊C4—21no—
106C4⋊C4×D43—22no—
107C4⋊C4×D43—22no—
108C2×(C2×D43)⋊C4—21no—
109C2×(C2×D43)⋊C4—22no—
110C2×(C2×D43)⋊C4—22no—
111C2×C4×Dic43—21no—
112C2×C4×Dic43D412yes—
113C2×C4×Dic43C2311yescharacteristic
114C42×D43—22no—
115C42×D43—22no—
116#13063259—22no—
117#13063258—22no—
118#13063256—22no—
119#13063250—22no—
120#13063249—22no—
121#13063249—22no—
122#13063248—22no—
123#13063247—22no—
124#13063245—22no—
125#13063236—22no—
126C8×Dic43—22no—
127C8×Dic43—22no—
128C43⋊#95—22no—
129C43⋊#95—22no—
130C43⋊#95—22no—
131C43⋊#95—22no—
132C22×Q8×C43C2311yescharacteristic
133C22×Q8×C43C2311yescharacteristic
134C2×Q16×C43—22no—
135C2×Q16×C43—22no—
136C2×Q16×C43C2×C414yescomplemented
137C22×C8×C43C2311yescharacteristic
138C22×C8×C43C2311yescharacteristic
139C2×C4⋊C4×C43C2311yescharacteristic
140C2×C4⋊C4×C43C2311yescharacteristic
141C2×C42×C43C2311yescharacteristic
142#106×C43—22no—
143#103×C43—22no—
144#103×C43—22no—
145#97×C43—22no—
146#95×C43—22no—
147#95×C43—22no—
148C23×D43—21no—
149C23×D43C2×D411yescharacteristic
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43—21no—
156C2×Q8×C43—21no—
157C2×Q8×C43—21no—
158C2×Q8×C43—21no—
159C2×Q8×C43—21no—
160C2×Q8×C43C22×C412yes—
161C2×Q8×C43C22×C412yes—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43C2×D412yes—
167C22×C4×C43C2411yescharacteristic
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43C2×D412yes—
172C22×Dic43C2×D411yescharacteristic
173#10621902—28no—
174#10621902—28no—
175#10621902—44no—
176#10621902—44no—
177Q8×D43—28no—
178Q8×D43—28no—
179Q8×D43—44no—
180Q8×D43—44no—
181C2×D172—21no—
182C2×D172—24no—
183C2×D172—21no—
184C2×D172—21no—
185C2×D172—21no—
186C2×D172—21no—
187C2×D172—42no—
188C2×D172—42no—
189C2×D172C22×C412yes—
190C2×C4×D43—24no—
191C2×C4×D43—24no—
192C2×C4×D43—24no—
193C2×C4×D43—24no—
194C2×C4×D43—42no—
195C2×C4×D43—44no—
196C2×C4×D43—42no—
197C2×C4×D43—42no—
198C2×C4×D43—42no—
199C2×C4×D43—42no—
200C2×C4×D43—42no—
201C2×C4×D43C22×C412yes—
202C2×C4×D43C2×D412yes—
203C2×C4×D43C2×D412yes—
204C2×C4×D43C2×D412yes—
205C2×C4×D43#4112yes—
206C2×C4×D43#4112yes—
207C2×Dic86—21no—
208C2×Dic86—21no—
209C2×Dic86—21no—
210C2×Dic86—21no—
211C2×Dic86—21no—
212C2×Dic86—24no—
213C2×Dic86—42no—
214C2×Dic86—42no—
215C2×Dic86C22×C412yes—
216Q16×C43—28no—
217C2×C8×C43—21no—
218C2×C8×C43—21no—
219C2×C8×C43C22×C412yes—
220C2×C8×C43C2×D412yes—
221C2×C8×C43C2×D412yes—
222C2×C8×C43C2×D412yes—
223C4⋊C4×C43—21no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—21no—
226C4⋊C4×C43—21no—
227C42×C43—21no—
228C42×C43—21no—
229#10621885—28no—
230#10621884—28no—
231(C2×D43)⋊C4—44no—
232(C2×D43)⋊C4—44no—
233(C2×D43)⋊C4—42no—
234C4⋊Dic43—21no—
235C4⋊Dic43—21no—
236C4⋊Dic43—21no—
237C4⋊Dic43—21no—
238Dic43⋊C4—42no—
239C4×Dic43—21no—
240C4×Dic43—21no—
241C4×Dic43—24no—
242C4×Dic43—42no—
243C2×C43⋊C8—21no—
244C2×C43⋊C8—21no—
245C2×C43⋊C8C22×C412yes—
246C2×C43⋊C8C2×D412yes—
247C2×C43⋊C8C2×D412yes—
248C2×C43⋊C8C2×D412yes—
249#10621873—28no—
250#10621872—28no—
251#10621872C22⋊C4116yescomplemented
252C23×C43C22×D411yescharacteristic
253C22×D43—22no—
254C22×D43—22no—
255C22×D43—22no—
256C22×D43—41no—
257C22×D43—41no—
258C22×D43—42no—
259C22×D43—42no—
260C22×D43C4×D412yes—
261C22×D43#12112yes—
262C22×D43#12712yes—
263Q8×C43—22no—
264Q8×C43—22no—
265Q8×C43—22no—
266Q8×C43—22no—
267Q8×C43—41no—
268Q8×C43—41no—
269Q8×C43—41no—
270Q8×C43—41no—
271C2×C4×C43—22no—
272C2×C4×C43—22no—
273C2×C4×C43—22no—
274C2×C4×C43—22no—
275C2×C4×C43—22no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—41no—
282C2×C4×C43—42no—
283C2×C4×C43—42no—
284C2×C4×C43C23×C411yescharacteristic
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43C4×D412yes—
300C2×Dic43#12112yes—
301C2×Dic43#12712yes—
302C2×Dic43#13714yescomplemented
303D172—22no—
304D172—22no—
305D172—48no—
306D172—41no—
307D172—41no—
308C4×D43—48no—
309C4×D43—48no—
310C4×D43—48no—
311C4×D43—84no—
312C4×D43C2×C22⋊C414yes—
313C4×D43C4×D414yes—
314C4×D43#12114yes—
315C4×D43#12414yes—
316Dic86—22no—
317Dic86—22no—
318Dic86—41no—
319Dic86—41no—
320Dic86—48no—
321C8×C43—22no—
322C8×C43C2×C22⋊C414yes—
323C43⋊C8—22no—
324C43⋊C8C2×C22⋊C414yes—
325#21237—431nomaximal, Sylow
326C22×C43C2×C4×D411yescharacteristic
327C22×C43C2×#12111yescharacteristic
328C22×C43C2×#12711yescharacteristic
329C22×C43C2×#13712yes—
330C22×C43#57512yes—
331C2×D43—22no—
332C2×D43—22no—
333C2×D43—24no—
334C2×D43—24no—
335C2×D43—44no—
336C2×D43—42no—
337C2×D43—81no—
338C2×D43—81no—
339C2×D43—82no—
340C2×D43#39014yes—
341C4×C43—42no—
342C4×C43—42no—
343C4×C43—42no—
344C4×C43—81no—
345C4×C43—81no—
346C4×C43C22×C22⋊C411yescharacteristic
347C4×C43C2×C4×D411yescharacteristic
348C4×C43C2×#12111yescharacteristic
349C4×C43C2×#12411yescharacteristic
350Dic43—24no—
351Dic43—42no—
352Dic43—81no—
353Dic43—81no—
354Dic43#39014yes—
355C22×#137—431no—
356C2×#428—431no—
357C2×#417—431no—
358C2×#419—431no—
359C2×C4×M16—431no—
360#2297—431no—
361C2×#391—431no—
362#1973—431no—
363#1973—431no—
364#1971—431no—
365#1971D4311yescharacteristic, complemented
366#1969—431no—
367#1969—431no—
368#1968—431no—
369#1968—431no—
370C2×C43C2×#39011yescharacteristic
371C2×C43C4×#13712yes—
372C2×C43#305612yes—
373C2×C43#315211yescharacteristic
374C2×C43#315311yescharacteristic
375D43—24no—
376D43—82no—
377C22×#41—431no—
378C23×Q8—431no—
379C2×#137—438no—
380C2×#137—864no—
381C2×#137—864no—
382C22×Q16—431no—
383C22×Q16C2×D4311yescharacteristic
384C22×SD16—431no—
385C22×SD16—431no—
386C22×M16—431no—
387C22×M16—431no—
388C2×#117—431no—
389C22×C4⋊C4—431no—
390C22×C42—431no—
391#428—864no—
392C2×#107—431no—
393C2×#107—431no—
394C2×#106—431no—
395C2×#106C2×D4311yescharacteristic
396#419—864no—
397#417—864no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#103C2×D4311yescharacteristic
403C2×#103C2×D4311yescharacteristic
404C2×#102—431no—
405C2×#102—431no—
406C4×M16—864no—
407C2×#97—431no—
408C2×#97C2×D4311yescharacteristic
409C2×C4×C8—431no—
410C2×C4×C8—431no—
411#391—431no—
412#391—431no—
413#391—431no—
414#391—431no—
415#391—862no—
416#391C2×D4311yescharacteristic
417#391C2×D4311yescharacteristic
418#390—431no—
419#390—431no—
420#386—862no—
421C4×C22⋊C4—862no—
422C2×#95—862no—
423C43#2123711yescharacteristic, complemented, Sylow
424C2×#41—434no—
425C2×#41—862no—
426C2×#41—862no—
427C2×#41—862no—
428C2×#41—862no—
429C2×#41—862no—
430C22×Q8—434no—
431C22×Q8—431no—
432C22×Q8—861no—
433C22×Q8—862no—
434C22×Q8—862no—
435C22×Q8—862no—
436C22×Q8—862no—
437C22×Q8—862no—
438C22×Q8C22×D4311yescharacteristic
439C22×Q8C22×D4311yescharacteristic
440C22×D4—431no—
441C22×D4—861no—
442C23×C4—431no—
443C23×C4—432no—
444C23×C4—861no—
445C23×C4—861no—
446C23×C4—861no—
447#137—8632no—
448C2×Q16—22no—
449C2×Q16—22no—
450C2×Q16—434no—
451C2×Q16—862no—
452C2×Q16—862no—
453C2×Q16C4×D4314yescomplemented
454C2×SD16—434no—
455C2×SD16—434no—
456C2×SD16—862no—
457C2×SD16—862no—
458C2×SD16—862no—
459C2×SD16—862no—
460C2×M16—434no—
461C2×M16—434no—
462C2×M16—434no—
463C2×M16—434no—
464C2×M16—862no—
465C2×M16—862no—
466C22×C8—431no—
467C22×C8—431no—
468C22×C8C22×D4311yescharacteristic
469C22×C8C22×D4311yescharacteristic
470#117—862no—
471#117—862no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—862no—
475C2×C4⋊C4—862no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4C22×D4311yescharacteristic
478C2×C4⋊C4C22×D4311yescharacteristic
479C2×C22⋊C4—862no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—862no—
482C2×C42—432no—
483C2×C42—431no—
484C2×C42—862no—
485C2×C42—862no—
486C2×C42—861no—
487C2×C42C22×D4311yescharacteristic
488#107—862no—
489#107—862no—
490#106—22no—
491#106—862no—
492#103—22no—
493#103—22no—
494#103—862no—
495#103—862no—
496#103—862no—
497#103—862no—
498#102—862no—
499#102—862no—
500#97—22no—
501#97—862no—
502C4×C8—862no—
503C4×C8—862no—
504#95—22no—
505#95—22no—
506#95—862no—
507#95—862no—
508#95—862no—
509#95—862no—
510C24—431no—
511C24—861no—
512#41—868no—
513#41—868no—
514#41—1724no—
515#41—1724no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—432no—
527C2×Q8—864no—
528C2×Q8—868no—
529C2×Q8—868no—
530C2×Q8—861no—
531C2×Q8—861no—
532C2×Q8—861no—
533C2×Q8—861no—
534C2×Q8—861no—
535C2×Q8—1722no—
536C2×Q8—1722no—
537C2×Q8—1724no—
538C2×Q8—1724no—
539C2×Q8C2×C4×D4312yes—
540C2×Q8C2×C4×D4312yes—
541C2×D4—432no—
542C2×D4—864no—
543C2×D4—861no—
544C2×D4—861no—
545C2×D4—861no—
546C2×D4—861no—
547C2×D4—861no—
548C2×D4—1722no—
549C2×D4—1722no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—431no—
555C22×C4—432no—
556C22×C4—432no—
557C22×C4—432no—
558C22×C4—432no—
559C22×C4—432no—
560C22×C4—432no—
561C22×C4—432no—
562C22×C4—864no—
563C22×C4—864no—
564C22×C4—864no—
565C22×C4—864no—
566C22×C4—861no—
567C22×C4—861no—
568C22×C4—861no—
569C22×C4—1722no—
570C22×C4—1722no—
571C22×C4—1722no—
572C22×C4—1722no—
573C22×C4—1724no—
574C22×C4—1722no—
575C22×C4—1722no—
576C22×C4D4×D4312yes—
577C22×C4C23×D4311yescharacteristic
578Q16—28no—
579Q16—868no—
580SD16—868no—
581SD16—868no—
582M16—4316no—
583M16—868no—
584C2×C8—21no—
585C2×C8—21no—
586C2×C8—432no—
587C2×C8—432no—
588C2×C8—432no—
589C2×C8—432no—
590C2×C8—861no—
591C2×C8—861no—
592C2×C8C2×C4×D4312yes—
593C2×C8D4×D4312yes—
594C2×C8D4×D4312yes—
595C2×C8D4×D4312yes—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—861no—
601C4⋊C4—861no—
602C4⋊C4—861no—
603C4⋊C4—861no—
604C4⋊C4—1722no—
605C22⋊C4—1724no—
606C22⋊C4—1724no—
607C22⋊C4—1722no—
608C42—21no—
609C42—21no—
610C42—864no—
611C42—861no—
612C42—861no—
613C42—1722no—
614C23—432no—
615C23—432no—
616C23—432no—
617C23—862no—
618C23—862no—
619C23—862no—
620C23—1721no—
621C23—1722no—
622C23—1721no—
623C23—1722no—
624C23C2×D4×D4311yescharacteristic
625Q8—22no—
626Q8—22no—
627Q8—22no—
628Q8—22no—
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—862no—
634Q8—862no—
635Q8—1728no—
636Q8—1721no—
637Q8—1721no—
638D4—862no—
639D4—862no—
640D4—1728no—
641D4—1721no—
642D4—1721no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—432no—
657C2×C4—432no—
658C2×C4—432no—
659C2×C4—434no—
660C2×C4—434no—
661C2×C4—434no—
662C2×C4—434no—
663C2×C4—434no—
664C2×C4—862no—
665C2×C4—862no—
666C2×C4—862no—
667C2×C4—3444no—
668C2×C4—1728no—
669C2×C4—1728no—
670C2×C4—1728no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1722no—
674C2×C4—1722no—
675C2×C4—1721no—
676C2×C4—1721no—
677C2×C4C22×C4×D4311yescharacteristic
678C2×C4C2×D4×D4311yescharacteristic
679C2×C4C2×D4×D4311yescharacteristic
680C2×C4C2×D4×D4311yescharacteristic
681C2×C4#41×D4311yescharacteristic
682C2×C4#41×D4311yescharacteristic
683C8—22no—
684C8—434no—
685C8—862no—
686C8C22⋊C4×D4314yes—
687C22—434no—
688C22—864no—
689C22—862no—
690C22—862no—
691C22—864no—
692C22—3442no—
693C22—3441no—
694C22—3441no—
695C22—1722no—
696C22—1724no—
697C22C4×D4×D4311yescharacteristic
698C22#121×D4311yescharacteristic
699C22#127×D4311yescharacteristic
700C22#137×D4312yes—
701C22#1458369812yes—
702C4—42no—
703C4—42no—
704C4—42no—
705C4—81no—
706C4—81no—
707C4—434no—
708C4—864no—
709C4—3441no—
710C4—3441no—
711C4—1722no—
712C4C2×C22⋊C4×D4311yescharacteristic
713C4C4×D4×D4311yescharacteristic
714C4#121×D4311yescharacteristic
715C4#124×D4311yescharacteristic
716C2—864no—
717C2—3442no—
718C2#390×D4311yescharacteristic
719C2#1914341112yes—
720C2#1914422412yes—
721C2#1914505111yescharacteristic
722C2#1914505811yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1971C2
socleC23×C43C22×D4
prime radicalC22×#10621902C22
cosocleC22×C4×C43C24
hypercenter#1971D43
hypocenterC43#21237
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1971

Complements

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

NH ≅ G/Ntype
2. C2×#14582938C2semidirect
4. C2×#14582906C2semidirect
5. C2×#14582851C2semidirect
7. #391×D43C2semidirect
8. #19135479C2semidirect
9. #19135476C2semidirect
10. #19135465C2semidirect
11. #19135457C2semidirect
12. #19135453C2semidirect
13. #19135447C2semidirect
14. #19135446C2semidirect
15. C43×#1971C2semidirect
20. C2×#13063357C4semidirect
86. C2×#10621885C2×C4semidirect
89. C2×#10621873C2×C4semidirect
92. C2×#10621884C2×C4semidirect
136. C2×Q16×C43C2×C4semidirect
251. #10621872C22⋊C4semidirect
302. C2×Dic43#137semidirect
365. #1971D43semidirect
423. C43#21237semidirect
453. C2×Q16C4×D43semidirect

Maximal subgroups

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

subgroupindex
C22×#130633572
C2×#145829382
C2×#145828992
C2×#145829062
C2×#145828512
#191370842
#391×D432
#191354792
#191354762
#191354652
#191354572
#191354532
#191354472
#191354462
C43×#19712
#2123743