Finite Group Databasebeta

← #25100496

Subgroups — #25100496

Order 11008.

1518 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063354C211yesmaximal, characteristic
2C2×#14582940C211yesmaximal, characteristic, complemented
3C2×#14582892C211yesmaximal, characteristic
4C2×#103×D43C211yesmaximal, characteristic, complemented
5C2×#14582856C211yesmaximal, characteristic, complemented
6#19137185C211yesmaximal, characteristic
7#19137178C211yesmaximal, characteristic, complemented
8#19135477C211yesmaximal, characteristic, complemented
9#19135466C211yesmaximal, characteristic, complemented
10#19135463C211yesmaximal, characteristic, complemented
11#19135455C211yesmaximal, characteristic, complemented
12#19135454C211yesmaximal, characteristic, complemented
13#19135451C211yesmaximal, characteristic, complemented
14#19135448C211yesmaximal, characteristic, complemented
15C43×#1973C211yesmaximal, characteristic, complemented
16C22×#10621900C2211yescharacteristic
17C22×Q8×D43C2211yescharacteristic
18C2×#13063354—24no—
19C2×#13063354—24no—
20C2×#13063354C418yescomplemented
21C22×Dic172C2211yescharacteristic
22C22×#10621885C2211yescharacteristic
23C22×#10621883C2211yescharacteristic
24C22×#10621872C2211yescharacteristic
25C22×C8×D43C2211yescharacteristic
26C2×#13063283C2211yescharacteristic
27C2×#13063282C2211yescharacteristic
28C2×C4⋊C4×D43C2211yescharacteristic
29#14582940—24no—
30C2×#13063258C2211yescharacteristic
31C2×#13063257C2211yescharacteristic
32C2×#13063256C2211yescharacteristic
33#14582892—24no—
34C2×#13063250C2211yescharacteristic
35C2×#13063250C2211yescharacteristic
36C2×#13063249C2211yescharacteristic
37C2×#13063248C2211yescharacteristic
38C2×#13063248C2211yescharacteristic
39#103×D43—24no—
40C2×#13063246C2211yescharacteristic
41#14582856—24no—
42C2×#13063235C2211yescharacteristic
43C2×C4×C43⋊C8C2211yescharacteristic
44C2×C8×Dic43C2211yescharacteristic
45#14582806C2211yescharacteristic
46#14582805C2211yescharacteristic
47#14582805C2211yescharacteristic
48#14582804C2211yescharacteristic
49#14582804C2211yescharacteristic
50#14582803—22no—
51#14582802C2211yescharacteristic
52#14582775—22no—
53#14582761—22no—
54#14582757—22no—
55C22×SD16×C43C2211yescharacteristic
56C2×#107×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×#97×C43C2211yescharacteristic
60C43×#391C2211yescharacteristic
61C43×#390C2211yescharacteristic
62C2×#10621900—22no—
63C2×#10621900—22no—
64C2×#10621900—22no—
65C2×#10621900—22no—
66C2×#10621900—22no—
67C2×#10621900C2×C414yes—
68C22×Dic86—21no—
69C22×Dic86C2311yescharacteristic
70C22×Dic86C2311yescharacteristic
71C2×Q8×D43—22no—
72C2×Q8×D43—22no—
73C2×Q8×D43—22no—
74C2×Q8×D43—22no—
75C2×Q8×D43—22no—
76C2×Q8×D43C2×C414yes—
77C22×C22⋊D43—21no—
78C23×Dic43—21no—
79C22×C4×D43—21no—
80C22×C4×D43—21no—
81C22×C4×D43C2311yescharacteristic
82#13063354—232no—
83C2×Dic172—22no—
84C2×Dic172—22no—
85C2×Dic172C2×C414yescomplemented
86C2×#10621885—22no—
87C2×#10621885—22no—
88C2×#10621885C2×C414yescomplemented
89C2×#10621883—22no—
90C2×#10621883—22no—
91C2×#10621883C2×C414yescomplemented
92C2×#10621872C2×C414yes—
93C2×#10621872D414yes—
94C2×#10621872D414yes—
95C22×C43⋊C8C2311yescharacteristic
96C22×C43⋊C8C2311yescharacteristic
97C2×C8×D43—22no—
98C2×C8×D43—22no—
99C2×C8×D43D414yes—
100#13063283—22no—
101#13063283—22no—
102#13063282—22no—
103#13063282—22no—
104C2×C4⋊Dic43C2311yescharacteristic
105C2×C4⋊Dic43C2311yescharacteristic
106C2×Dic43⋊C4—21no—
107C2×Dic43⋊C4D412yes—
108C4⋊C4×D43—22no—
109C4⋊C4×D43—22no—
110C2×C22⋊Dic43—22no—
111C2×(C2×D43)⋊C4—21no—
112C2×(C2×D43)⋊C4D412yes—
113C2×C4×Dic43—21no—
114C2×C4×Dic43C2311yescharacteristic
115#13063258—22no—
116#13063257—22no—
117#13063256—22no—
118#13063250—22no—
119#13063250—22no—
120#13063249—22no—
121#13063248—22no—
122#13063248—22no—
123#13063246—22no—
124#13063235—22no—
125C4×C43⋊C8—22no—
126C8×Dic43—22no—
127C43⋊#95—22no—
128C43⋊#95—22no—
129C43⋊#95—22no—
130C43⋊#95—22no—
131C43⋊#95—22no—
132C22×Q8×C43C2311yescharacteristic
133C22×D4×C43C2311yescharacteristic
134C2×SD16×C43—22no—
135C2×SD16×C43—22no—
136C2×SD16×C43C2×C414yescomplemented
137C22×C8×C43C2311yescharacteristic
138C22×C8×C43C2311yescharacteristic
139C2×C4⋊C4×C43C2311yescharacteristic
140C2×C4⋊C4×C43C2311yescharacteristic
141C2×C22⋊C4×C43—22no—
142C2×C42×C43C2311yescharacteristic
143#107×C43—22no—
144#103×C43—22no—
145#102×C43—22no—
146#97×C43—22no—
147#95×C43—22no—
148C24×C43—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×C43C22×C412yes—
156C2×D4×C43—21no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—21no—
161C2×D4×C43C22×C412yes—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43C2×D412yes—
166C22×C4×C43C2411yescharacteristic
167C2×C22⋊D43—24no—
168C2×C22⋊D43—42no—
169C2×C22⋊D43—42no—
170C22×Dic43—24no—
171C22×Dic43—21no—
172C22×Dic43—21no—
173C22×Dic43—21no—
174C22×Dic43—21no—
175C22×Dic43—42no—
176C22×Dic43—42no—
177C22×Dic43C2×D412yes—
178C22×Dic43C2×D411yescharacteristic
179Q8×D43—28no—
180Q8×D43—28no—
181Q8×D43—44no—
182Q8×D43—44no—
183#10621900—28no—
184#10621900—28no—
185#10621900—44no—
186#10621900—44no—
187C2×C4×D43—24no—
188C2×C4×D43—42no—
189C2×C4×D43—42no—
190C2×C4×D43—42no—
191C2×C4×D43—82no—
192C2×C4×D43C22×C412yes—
193C2×C4×D43C2×D412yes—
194C2×C4×D43C2×D412yes—
195C2×C4×D43C2×D412yes—
196C2×C4×D43#4112yes—
197C2×C4×D43#4112yes—
198C2×Dic86—21no—
199C2×Dic86—21no—
200C2×Dic86—21no—
201C2×Dic86—21no—
202C2×Dic86—21no—
203C2×Dic86—21no—
204C2×Dic86—21no—
205C2×Dic86—21no—
206C2×Dic86—21no—
207C2×Dic86—21no—
208C2×Dic86—24no—
209C2×Dic86—42no—
210C2×Dic86—42no—
211C2×Dic86C22×C412yes—
212C2×Dic86C22×C412yes—
213SD16×C43—28no—
214C2×C8×C43—21no—
215C2×C8×C43—21no—
216C2×C8×C43C22×C412yes—
217C2×C8×C43C2×D412yes—
218C2×C8×C43C2×D412yes—
219C2×C8×C43C2×D412yes—
220C4⋊C4×C43—21no—
221C4⋊C4×C43—21no—
222C4⋊C4×C43—21no—
223C4⋊C4×C43—21no—
224C22⋊C4×C43—82no—
225C42×C43—21no—
226C42×C43—21no—
227C22⋊Dic43—82no—
228#10621885—28no—
229#10621883—28no—
230(C2×D43)⋊C4—24no—
231(C2×D43)⋊C4—42no—
232C4⋊Dic43—21no—
233C4⋊Dic43—21no—
234C4⋊Dic43—21no—
235C4⋊Dic43—21no—
236Dic43⋊C4—24no—
237Dic43⋊C4—42no—
238C4×Dic43—21no—
239C4×Dic43—21no—
240C4×Dic43—42no—
241C2×C43⋊C8—21no—
242C2×C43⋊C8—21no—
243C2×C43⋊C8C22×C412yes—
244C2×C43⋊C8C2×D412yes—
245C2×C43⋊C8C2×D412yes—
246C2×C43⋊C8C2×D412yes—
247Dic172—28no—
248#10621872C22⋊C4116yescomplemented
249C8×D43—28no—
250C23×C43—22no—
251C23×C43—41no—
252C23×C43—41no—
253C23×C43—42no—
254C23×C43—42no—
255C23×C43C22×D411yescharacteristic
256C22×D43—22no—
257C22×D43—22no—
258C22×D43C4×D412yes—
259C22×D43#12112yes—
260C22×D43#12712yes—
261Q8×C43—22no—
262Q8×C43—22no—
263Q8×C43—41no—
264Q8×C43—41no—
265D4×C43—22no—
266D4×C43—22no—
267D4×C43—41no—
268D4×C43—41no—
269C2×C4×C43—22no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—22no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—42no—
278C2×C4×C43—42no—
279C2×C4×C43C23×C411yescharacteristic
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C22⋊D43—48no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—48no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43C4×D412yes—
301C2×Dic43#12112yes—
302C2×Dic43#12712yes—
303C4×D43—48no—
304C4×D43—84no—
305C4×D43C2×C22⋊C414yes—
306C4×D43C4×D414yes—
307C4×D43#12114yes—
308C4×D43#12414yes—
309Dic86—22no—
310Dic86—22no—
311Dic86—22no—
312Dic86—22no—
313Dic86—41no—
314Dic86—41no—
315Dic86—41no—
316Dic86—41no—
317Dic86—48no—
318C8×C43—22no—
319C8×C43C2×C22⋊C414yes—
320C43⋊C8—22no—
321C43⋊C8C2×C22⋊C414yes—
322#21234—431nomaximal, Sylow
323C22×C43—44no—
324C22×C43—42no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—82no—
328C22×C43C2×C4×D411yescharacteristic
329C22×C43C2×#12111yescharacteristic
330C22×C43C2×#12711yescharacteristic
331C22×C43#57712yes—
332C22×C43#57812yes—
333C2×D43—22no—
334C2×D43—22no—
335C2×D43—24no—
336C2×D43—24no—
337C2×D43#39014yes—
338C4×C43—42no—
339C4×C43—42no—
340C4×C43—81no—
341C4×C43—81no—
342C4×C43C22×C22⋊C411yescharacteristic
343C4×C43C2×C4×D411yescharacteristic
344C4×C43C2×#12111yescharacteristic
345C4×C43C2×#12411yescharacteristic
346Dic43—42no—
347Dic43—42no—
348Dic43—42no—
349Dic43—81no—
350Dic43—81no—
351Dic43#39014yes—
352C22×#137—431no—
353C2×#428—431no—
354C2×#416—431no—
355C22×#103—431no—
356C2×#405—431no—
357#2311—431no—
358#2310—431no—
359#1973—431no—
360#1973D4311yescharacteristic, complemented
361#1971—431no—
362#1971—431no—
363#1969—431no—
364#1969—431no—
365#1968—431no—
366#1968—431no—
367C2×C43—82no—
368C2×C43C2×#39011yescharacteristic
369C2×C43#294712yes—
370C2×C43#306312yes—
371C2×C43#315411yescharacteristic
372C2×C43#315611yescharacteristic
373D43—24no—
374C22×#41—431no—
375C23×Q8—431no—
376C2×#137—438no—
377C2×#137—864no—
378C2×#137—864no—
379C22×Q16—431no—
380C22×Q16—431no—
381C22×SD16—431no—
382C22×SD16C2×D4311yescharacteristic
383C22×M16—431no—
384C23×C8—431no—
385C2×#117—431no—
386C2×#117—431no—
387C22×C4⋊C4—431no—
388#428—864no—
389C2×#107—431no—
390C2×#107C2×D4311yescharacteristic
391C2×#106—431no—
392C2×#106—431no—
393#416—864no—
394C2×#103—431no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#103—864no—
400C2×#103C2×D4311yescharacteristic
401C2×#102—431no—
402C2×#102C2×D4311yescharacteristic
403#405—864no—
404C2×#97—431no—
405C2×#97C2×D4311yescharacteristic
406C2×C4×C8—431no—
407C2×C4×C8—431no—
408#391—431no—
409#391—431no—
410#391—431no—
411#391—431no—
412#391—431no—
413#391—862no—
414#391C2×D4311yescharacteristic
415#390—431no—
416#390C2×D4311yescharacteristic
417#386—862no—
418#381—862no—
419#380—862no—
420C43#2123411yescharacteristic, complemented, Sylow
421C2×#41—434no—
422C2×#41—862no—
423C2×#41—862no—
424C2×#41—862no—
425C2×#41—862no—
426C2×#41—862no—
427C22×Q8—434no—
428C22×Q8—431no—
429C22×Q8—431no—
430C22×Q8—861no—
431C22×Q8—862no—
432C22×Q8—862no—
433C22×Q8—862no—
434C22×Q8—862no—
435C22×Q8—862no—
436C22×Q8C22×D4311yescharacteristic
437C22×D4—861no—
438C22×D4C22×D4311yescharacteristic
439C23×C4—431no—
440C23×C4—861no—
441C23×C4—861no—
442C23×C4—861no—
443#137—8632no—
444C2×Q16—434no—
445C2×Q16—434no—
446C2×Q16—862no—
447C2×Q16—862no—
448C2×Q16—862no—
449C2×Q16—862no—
450C2×SD16—22no—
451C2×SD16—22no—
452C2×SD16—434no—
453C2×SD16—862no—
454C2×SD16—862no—
455C2×SD16C4×D4314yescomplemented
456C2×M16—434no—
457C2×M16—434no—
458C2×M16—434no—
459C22×C8—431no—
460C22×C8—431no—
461C22×C8—434no—
462C22×C8—862no—
463C22×C8—862no—
464C22×C8C22×D4311yescharacteristic
465C22×C8C22×D4311yescharacteristic
466#117—862no—
467#117—862no—
468#117—862no—
469#117—862no—
470C2×C4⋊C4—432no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—862no—
474C2×C4⋊C4—862no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4C22×D4311yescharacteristic
477C2×C4⋊C4C22×D4311yescharacteristic
478C2×C22⋊C4—22no—
479C2×C22⋊C4—432no—
480C2×C22⋊C4—862no—
481C2×C22⋊C4—861no—
482C2×C42—431no—
483C2×C42—861no—
484C2×C42C22×D4311yescharacteristic
485#107—22no—
486#107—862no—
487#106—862no—
488#106—862no—
489#103—22no—
490#103—862no—
491#103—862no—
492#103—862no—
493#103—862no—
494#103—862no—
495#102—22no—
496#102—862no—
497#97—22no—
498#97—862no—
499C4×C8—862no—
500C4×C8—862no—
501#95—22no—
502#95—862no—
503#95—862no—
504#95—862no—
505#95—862no—
506#95—862no—
507C24—21no—
508C24—431no—
509#41—868no—
510#41—868no—
511#41—1724no—
512#41—1724no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—432no—
519C2×Q8—432no—
520C2×Q8—864no—
521C2×Q8—868no—
522C2×Q8—868no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8—861no—
529C2×Q8—861no—
530C2×Q8—861no—
531C2×Q8—861no—
532C2×Q8—861no—
533C2×Q8—1722no—
534C2×Q8—1722no—
535C2×Q8—1724no—
536C2×Q8—1724no—
537C2×Q8C2×C4×D4312yes—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—864no—
544C2×D4—1722no—
545C2×D4—1722no—
546C2×D4C2×C4×D4312yes—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—431no—
551C22×C4—432no—
552C22×C4—432no—
553C22×C4—432no—
554C22×C4—432no—
555C22×C4—432no—
556C22×C4—432no—
557C22×C4—432no—
558C22×C4—864no—
559C22×C4—864no—
560C22×C4—861no—
561C22×C4—861no—
562C22×C4—861no—
563C22×C4—861no—
564C22×C4—3442no—
565C22×C4—1722no—
566C22×C4—1722no—
567C22×C4—1722no—
568C22×C4—1722no—
569C22×C4—1722no—
570C22×C4D4×D4312yes—
571C22×C4C23×D4311yescharacteristic
572Q16—868no—
573Q16—868no—
574SD16—28no—
575SD16—868no—
576M16—4316no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—432no—
580C2×C8—432no—
581C2×C8—432no—
582C2×C8—432no—
583C2×C8—868no—
584C2×C8—861no—
585C2×C8—861no—
586C2×C8C2×C4×D4312yes—
587C2×C8D4×D4312yes—
588C2×C8D4×D4312yes—
589C2×C8D4×D4312yes—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—864no—
595C4⋊C4—861no—
596C4⋊C4—861no—
597C4⋊C4—861no—
598C4⋊C4—861no—
599C4⋊C4—1722no—
600C22⋊C4—82no—
601C22⋊C4—864no—
602C22⋊C4—3442no—
603C22⋊C4—1722no—
604C42—21no—
605C42—21no—
606C42—861no—
607C42—861no—
608C42—1722no—
609C23—22no—
610C23—41no—
611C23—41no—
612C23—42no—
613C23—42no—
614C23—432no—
615C23—432no—
616C23—432no—
617C23—862no—
618C23—862no—
619C23C2×D4×D4311yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—41no—
623Q8—41no—
624Q8—862no—
625Q8—862no—
626Q8—862no—
627Q8—862no—
628Q8—1728no—
629Q8—1721no—
630Q8—1721no—
631Q8—1721no—
632Q8—1721no—
633D4—22no—
634D4—22no—
635D4—41no—
636D4—41no—
637D4—1728no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—432no—
649C2×C4—432no—
650C2×C4—432no—
651C2×C4—434no—
652C2×C4—434no—
653C2×C4—434no—
654C2×C4—434no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—862no—
659C2×C4—862no—
660C2×C4—3444no—
661C2×C4—1728no—
662C2×C4—1728no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1722no—
666C2×C4—1722no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4C22×C4×D4311yescharacteristic
672C2×C4C2×D4×D4311yescharacteristic
673C2×C4C2×D4×D4311yescharacteristic
674C2×C4C2×D4×D4311yescharacteristic
675C2×C4#41×D4311yescharacteristic
676C2×C4#41×D4311yescharacteristic
677C8—22no—
678C8—434no—
679C8—862no—
680C8C22⋊C4×D4314yes—
681C22—44no—
682C22—42no—
683C22—82no—
684C22—81no—
685C22—81no—
686C22—434no—
687C22—864no—
688C22—864no—
689C22—862no—
690C22—862no—
691C22C4×D4×D4311yescharacteristic
692C22#121×D4311yescharacteristic
693C22#127×D4311yescharacteristic
694C22#1458370912yes—
695C22#1458371512yes—
696C4—42no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—434no—
701C4—3441no—
702C4—3441no—
703C4—1722no—
704C4—1722no—
705C4—1722no—
706C4C2×C22⋊C4×D4311yescharacteristic
707C4C4×D4×D4311yescharacteristic
708C4#121×D4311yescharacteristic
709C4#124×D4311yescharacteristic
710C2—82no—
711C2—864no—
712C2#390×D4311yescharacteristic
713C2#1914343512yes—
714C2#1914428112yes—
715C2#1914506811yescharacteristic
716C2#1914508711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1973C2
socleC23×C43C22×D4
prime radicalC22×#10621900C22
cosocleC22×C4×C43C24
hypercenter#1973D43
hypocenterC43#21234
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1973

Complements

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

NH ≅ G/Ntype
2. C2×#14582940C2semidirect
4. C2×#103×D43C2semidirect
5. C2×#14582856C2semidirect
7. #19137178C2semidirect
8. #19135477C2semidirect
9. #19135466C2semidirect
10. #19135463C2semidirect
11. #19135455C2semidirect
12. #19135454C2semidirect
13. #19135451C2semidirect
14. #19135448C2semidirect
15. C43×#1973C2semidirect
20. C2×#13063354C4semidirect
85. C2×Dic172C2×C4semidirect
88. C2×#10621885C2×C4semidirect
91. C2×#10621883C2×C4semidirect
136. C2×SD16×C43C2×C4semidirect
248. #10621872C22⋊C4semidirect
360. #1973D43semidirect
420. C43#21234semidirect
455. C2×SD16C4×D43semidirect

Maximal subgroups

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

subgroupindex
C22×#130633542
C2×#145829402
C2×#145828922
C2×#103×D432
C2×#145828562
#191371852
#191371782
#191354772
#191354662
#191354632
#191354552
#191354542
#191354512
#191354482
C43×#19732
#2123443