Finite Group Databasebeta

← D43×#2063 #25125125

Subgroups — D43×#2063 #25125125

Order 11008.

1134 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#108×D43C211yesmaximal, characteristic, complemented
2#428×D43C211yesmaximal, characteristic, complemented
3#424×D43C211yesmaximal, characteristic, complemented
4#418×D43C211yesmaximal, characteristic
5C2×#102×D43C211yesmaximal, characteristic
6C2×#100×D43C211yesmaximal, characteristic
7#19135956C211yesmaximal, characteristic, complemented
8#19135955C211yesmaximal, characteristic, complemented
9#19135954C211yesmaximal, characteristic, complemented
10#19135953C211yesmaximal, characteristic, complemented
11#19135952C211yesmaximal, characteristic, complemented
12#19135951C211yesmaximal, characteristic, complemented
13#19135950C211yesmaximal, characteristic, complemented
14#343×D43C211yesmaximal, characteristic, complemented
15C43×#2063C211yesmaximal, characteristic, complemented
16C22×D4×D43C2211yescharacteristic
17C2×M16×D43C2211yescharacteristic
18C2×M16×D43C2211yescharacteristic
19C2×M16×D43C2211yescharacteristic
20C22×C8×D43C2211yescharacteristic
21#117×D43C2211yescharacteristic
22C2×C4⋊C4×D43C2211yescharacteristic
23C2×#13063261C2211yescharacteristic, complemented
24C2×#13063260C2211yescharacteristic, complemented
25C2×#13063260C2211yescharacteristic, complemented
26#108×D43—24no—
27#14582942C2211yescharacteristic, complemented
28#14582941C2211yescharacteristic, complemented
29#14582940—21no—
30#14582939C2211yescharacteristic, complemented
31#14582938—21no—
32#107×D43—21no—
33#106×D43—21no—
34#14582927C2211yescharacteristic, complemented
35#14582926C2211yescharacteristic, complemented
36#14582925C2211yescharacteristic, complemented
37#14582924—22no—
38C4⋊C8×D43—22no—
39#14582905C2211yescharacteristic
40#14582904C2211yescharacteristic
41#14582903C2211yescharacteristic
42#14582902—21no—
43#14582902—21no—
44C2×#13063247C2211yescharacteristic
45C2×#13063246C2211yescharacteristic
46C2×#13063245C2211yescharacteristic
47#102×D43—22no—
48#102×D43—22no—
49#102×D43—21no—
50#102×D43—21no—
51C2×#13063242C2211yescharacteristic
52C2×#13063241C2211yescharacteristic
53C2×#13063241C2211yescharacteristic
54#100×D43—24no—
55#14582668C2211yescharacteristic, complemented
56#14582667C2211yescharacteristic, complemented
57#14582667C2211yescharacteristic, complemented
58C2×#108×C43C2211yescharacteristic, complemented
59C43×#428C2211yescharacteristic, complemented
60C43×#424C2211yescharacteristic, complemented
61C43×#418C2211yescharacteristic
62C2×#102×C43C2211yescharacteristic
63C2×#100×C43C2211yescharacteristic
64C43×#343C2211yescharacteristic, complemented
65C24×D43—21no—
66C22×D172C2311yescharacteristic
67C22×C22⋊D43—21no—
68C2×D4×D43—21no—
69C2×D4×D43—21no—
70C2×D4×D43—21no—
71C2×D4×D43—21no—
72C2×D4×D43—22no—
73C2×D4×D43—22no—
74C2×D4×D43—22no—
75C2×D4×D43Q814yes—
76C22×C4×D43—21no—
77C22×C4×D43C2311yescharacteristic
78C2×#10621877C2311yescharacteristic
79C2×#10621877C2311yescharacteristic
80C2×#10621877C2311yescharacteristic
81C2×#10621872—21no—
82C2×#10621872—21no—
83C2×#10621872—21no—
84M16×D43—22no—
85M16×D43—22no—
86M16×D43—22no—
87M16×D43—22no—
88M16×D43—22no—
89M16×D43D414yes—
90C22×C43⋊C8C2311yescharacteristic
91C2×C8×D43—22no—
92C2×C8×D43—21no—
93C2×C8×D43—22no—
94C2×C8×D43—21no—
95C2×C8×D43—21no—
96C2×C8×D43D412yes—
97C2×C8×D43D412yes—
98#13063284C2311yescharacteristic
99#13063283D411yescharacteristic
100#13063283D411yescharacteristic
101#13063282—21no—
102#13063281—21no—
103C2×C4⋊Dic43C2311yescharacteristic
104C2×Dic43⋊C4—21no—
105C4⋊C4×D43—21no—
106C4⋊C4×D43—21no—
107C4⋊C4×D43—21no—
108C4⋊C4×D43—21no—
109C4⋊C4×D43D411yescharacteristic
110C4⋊C4×D43D411yescharacteristic
111C22⋊C4×D43—21no—
112C42×D43—21no—
113#13063261—22no—
114#13063260—22no—
115#13063260—22no—
116#13063259—21no—
117#13063258—21no—
118#13063258—21no—
119#13063257—21no—
120#13063256—21no—
121#13063256—21no—
122C4⋊(C43⋊C8)—22no—
123Dic43⋊C8—22no—
124Dic43⋊C8—22no—
125#13063247—22no—
126#13063247—21no—
127#13063247—21no—
128#13063246—21no—
129#13063246—21no—
130#13063246—22no—
131#13063245—21no—
132#13063245—21no—
133#13063245—22no—
134#13063242—22no—
135#13063241—22no—
136#13063241—22no—
137C22×D4×C43C2311yescharacteristic
138C2×M16×C43C2311yescharacteristic
139C2×M16×C43C2311yescharacteristic
140C2×M16×C43C2311yescharacteristic
141C22×C8×C43C2311yescharacteristic
142#117×C43C2311yescharacteristic
143C2×C4⋊C4×C43C2311yescharacteristic
144#108×C43—22no—
145#107×C43—21no—
146#106×C43—21no—
147C4⋊C8×C43—22no—
148#102×C43—22no—
149#102×C43—21no—
150#102×C43—21no—
151#100×C43—22no—
152C24×C43—21no—
153C23×D43—21no—
154C23×D43—24no—
155C23×D43—41no—
156C23×D43—41no—
157C23×D43—42no—
158C23×D43—82no—
159C23×D43—82no—
160C23×D43#4111yescharacteristic
161C2×D4×C43—21no—
162C2×D4×C43—21no—
163C2×D4×C43—21no—
164C2×D4×C43—21no—
165C2×D4×C43—21no—
166C2×D4×C43C2×Q812yes—
167C22×C4×C43—21no—
168C22×C4×C43C2411yescharacteristic
169C2×C22⋊D43—24no—
170C2×C22⋊D43—41no—
171C2×C22⋊D43—41no—
172C2×C22⋊D43—42no—
173C22×Dic43—21no—
174C22×Dic43#4111yescharacteristic
175D4×D43—24no—
176D4×D43—24no—
177D4×D43—24no—
178D4×D43—24no—
179D4×D43—42no—
180D4×D43—42no—
181D4×D43—42no—
182D4×D43—42no—
183C2×D172—21no—
184C2×D172—21no—
185C2×D172—21no—
186C2×D172—21no—
187C2×D172—21no—
188C2×D172C2×Q812yes—
189C2×C4×D43—21no—
190C2×C4×D43—21no—
191C2×C4×D43—41no—
192C2×C4×D43—41no—
193C2×C4×D43—82no—
194C2×C4×D43C2×D411yescharacteristic
195C2×C4×D43C2×D411yescharacteristic
196C2×C4×D43C2×D411yescharacteristic
197C2×C4×D43C2×D411yescharacteristic
198C2×C4×D43C2×D412yes—
199C2×C4×D43C2×Q812yes—
200C2×C4×D43#4112yes—
201C2×C4×D43#4112yes—
202M16×C43—21no—
203M16×C43—21no—
204M16×C43—21no—
205M16×C43—21no—
206M16×C43—21no—
207M16×C43C2×D412yes—
208C2×C8×C43—21no—
209C2×C8×C43—21no—
210C2×C8×C43—21no—
211C2×C8×C43—21no—
212C2×C8×C43—21no—
213C2×C8×C43C2×D412yes—
214C4⋊C4×C43—21no—
215C4⋊C4×C43—21no—
216C4⋊C4×C43C2×D411yescharacteristic
217C4⋊C4×C43C2×D411yescharacteristic
218C22⋊C4×C43—21no—
219C42×C43—21no—
220C22⋊Dic43—21no—
221(C2×D43)⋊C4—21no—
222(C2×D43)⋊C4—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43C2×D411yescharacteristic
226C4⋊Dic43C2×D411yescharacteristic
227Dic43⋊C4—21no—
228Dic43⋊C4—21no—
229Dic43⋊C4—41no—
230Dic43⋊C4—41no—
231C4×Dic43—21no—
232C4×Dic43—21no—
233C4×Dic43—21no—
234#10621877—21no—
235#10621877—21no—
236#10621877—21no—
237#10621877—21no—
238#10621877—21no—
239#10621877C2×D412yes—
240C2×C43⋊C8—21no—
241C2×C43⋊C8—21no—
242C2×C43⋊C8—21no—
243C2×C43⋊C8—21no—
244C2×C43⋊C8—21no—
245C2×C43⋊C8C2×D412yes—
246#10621872—24no—
247#10621872—42no—
248#10621872—42no—
249C8×D43—24no—
250C8×D43—24no—
251C8×D43—24no—
252C8×D43—42no—
253C8×D43—42no—
254C23×C43—22no—
255C23×C43—41no—
256C23×C43—41no—
257C23×C43—81no—
258C23×C43—81no—
259C23×C43C2×#4111yescharacteristic
260C22×D43—22no—
261C22×D43—22no—
262C22×D43—22no—
263C22×D43—41no—
264C22×D43—41no—
265C22×D43—44no—
266C22×D43—44no—
267C22×D43—82no—
268C22×D43—82no—
269C22×D43—88no—
270C22×D43—88no—
271C22×D43—82no—
272C22×D43—82no—
273C22×D43—81no—
274C22×D43—81no—
275C22×D43#12111yescharacteristic
276C22×D43#12111yescharacteristic
277C22×D43C22⋊Q812yes—
278C22×D43#12612yes—
279D4×C43—22no—
280D4×C43—22no—
281D4×C43—41no—
282D4×C43—41no—
283C2×C4×C43—21no—
284C2×C4×C43—21no—
285C2×C4×C43—41no—
286C2×C4×C43—81no—
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C22×D411yescharacteristic
289C2×C4×C43C22×D411yescharacteristic
290C2×C4×C43C22×Q811yescharacteristic
291C2×C4×C43C2×#4111yescharacteristic
292C2×C4×C43C2×#4111yescharacteristic
293C22⋊D43—44no—
294C22⋊D43—44no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—41no—
298C2×Dic43—81no—
299C2×Dic43#12111yescharacteristic
300C2×Dic43#12111yescharacteristic
301C2×Dic43C22⋊Q812yes—
302C2×Dic43#12612yes—
303D172—22no—
304D172—22no—
305D172—41no—
306D172—41no—
307C4×D43—42no—
308C4×D43—42no—
309C4×D43—82no—
310C4×D43—82no—
311C4×D43#12112yes—
312C4×D43#12112yes—
313C4×D43#12112yes—
314C4×D43#12112yes—
315C4×D43C22⋊Q812yes—
316C4×D43C22⋊Q812yes—
317C4×D43C22⋊Q812yes—
318C4×D43C22⋊Q812yes—
319C8×C43—22no—
320C8×C43—22no—
321C8×C43—41no—
322C8×C43—41no—
323C43⋊C8—22no—
324C43⋊C8—22no—
325C43⋊C8—41no—
326C43⋊C8—41no—
327C2×#2063—431nomaximal, Sylow
328C22×C43—21no—
329C22×C43—21no—
330C22×C43—42no—
331C22×C43—82no—
332C22×C43—82no—
333C22×C43—81no—
334C22×C43—81no—
335C22×C43C2×#12111yescharacteristic
336C22×C43C2×C22⋊Q811yescharacteristic
337C22×C43C2×#12611yescharacteristic
338C2×D43—21no—
339C2×D43—21no—
340C2×D43—24no—
341C2×D43—24no—
342C2×D43—42no—
343C2×D43—88no—
344C2×D43—82no—
345C2×D43—81no—
346C2×D43—81no—
347C2×D43—88no—
348C2×D43—82no—
349C2×D43#39612yes—
350C2×D43#39612yes—
351C2×D43#47112yes—
352C2×D43#47212yes—
353C4×C43—41no—
354C4×C43—41no—
355C4×C43—81no—
356C4×C43C2×#12111yescharacteristic
357C4×C43C2×#12111yescharacteristic
358C4×C43C2×C22⋊Q811yescharacteristic
359C4×C43C2×C22⋊Q811yescharacteristic
360Dic43—41no—
361Dic43—41no—
362Dic43—81no—
363Dic43#39612yes—
364Dic43#39612yes—
365C22×#108—431no—
366C2×#428—431no—
367C2×#424—431no—
368C2×#418—431no—
369C22×#102—431no—
370C22×#100—431no—
371#2063—431no—
372#2063—431no—
373#2063—431no—
374#2063—431no—
375#2063—431no—
376#2063—431no—
377#2063—431no—
378#2063D4311yescharacteristic, direct product factor
379C2×#343—431no—
380C2×C43—21no—
381C2×C43—21no—
382C2×C43—82no—
383C2×C43C2×#39611yescharacteristic
384C2×C43C2×#47111yescharacteristic
385C2×C43C2×#47211yescharacteristic
386D43—22no—
387D43—82no—
388D43#206314yesdirect product factor
389C23×D4—431no—
390C22×M16—431no—
391C22×M16—431no—
392C22×M16—431no—
393C23×C8—431no—
394C2×#117—431no—
395C22×C4⋊C4—431no—
396C2×#108—431no—
397C2×#108—431no—
398C2×#108—431no—
399C2×#108—864no—
400C2×#108C2×D4311yescharacteristic, complemented
401#428—431no—
402#428—431no—
403#428—431no—
404#428—861no—
405#428—861no—
406#428C2×D4311yescharacteristic, complemented
407C2×#107—861no—
408C2×#106—861no—
409#424—431no—
410#424—431no—
411#424—431no—
412#424—862no—
413#424C2×D4311yescharacteristic, complemented
414C2×C4⋊C8—862no—
415#418—431no—
416#418—431no—
417#418—431no—
418#418—861no—
419#418—861no—
420#418C2×D4311yescharacteristic
421C2×#102—431no—
422C2×#102—431no—
423C2×#102—431no—
424C2×#102—861no—
425C2×#102—861no—
426C2×#102—862no—
427C2×#102—862no—
428C2×#102C2×D4311yescharacteristic
429C2×#100—431no—
430C2×#100—431no—
431C2×#100—431no—
432C2×#100—864no—
433C2×#100C2×D4311yescharacteristic
434#343—431no—
435#343—431no—
436#343—431no—
437#343C2×D4311yescharacteristic, complemented
438C43C2×#206311yescharacteristic, complemented, Sylow
439C25—861no—
440C22×D4—434no—
441C22×D4—431no—
442C22×D4—861no—
443C22×D4—861no—
444C22×D4—861no—
445C22×D4—861no—
446C22×D4—862no—
447C22×D4—862no—
448C22×D4—862no—
449C22×D4—861no—
450C22×D4C22×D4311yescharacteristic
451C23×C4—431no—
452C23×C4—861no—
453C2×M16—431no—
454C2×M16—434no—
455C2×M16—431no—
456C2×M16—431no—
457C2×M16—861no—
458C2×M16—861no—
459C2×M16—861no—
460C2×M16—862no—
461C2×M16—862no—
462C2×M16—862no—
463C2×M16—862no—
464C2×M16—862no—
465C2×M16C22×D4311yescharacteristic
466C2×M16C22×D4311yescharacteristic
467C2×M16C22×D4311yescharacteristic
468C22×C8—431no—
469C22×C8—432no—
470C22×C8—432no—
471C22×C8—862no—
472C22×C8—862no—
473C22×C8—861no—
474C22×C8—861no—
475C22×C8—861no—
476C22×C8C22×D4311yescharacteristic
477#117—431no—
478#117—431no—
479#117—431no—
480#117—861no—
481#117—861no—
482#117C22×D4311yescharacteristic
483C2×C4⋊C4—431no—
484C2×C4⋊C4—431no—
485C2×C4⋊C4—431no—
486C2×C4⋊C4—861no—
487C2×C4⋊C4—861no—
488C2×C4⋊C4—861no—
489C2×C4⋊C4—861no—
490C2×C4⋊C4—861no—
491C2×C4⋊C4C22×D4311yescharacteristic
492C2×C22⋊C4—861no—
493C2×C42—861no—
494#108—22no—
495#108—862no—
496#108—862no—
497#108—862no—
498#107—21no—
499#107—861no—
500#107—861no—
501#107—861no—
502#106—21no—
503#106—861no—
504#106—861no—
505#106—861no—
506C4⋊C8—22no—
507C4⋊C8—862no—
508C4⋊C8—862no—
509C4⋊C8—862no—
510#102—22no—
511#102—21no—
512#102—21no—
513#102—862no—
514#102—861no—
515#102—861no—
516#102—861no—
517#102—861no—
518#102—862no—
519#102—862no—
520#102—861no—
521#102—861no—
522#100—22no—
523#100—862no—
524#100—862no—
525#100—862no—
526C24—21no—
527C24—431no—
528C24—864no—
529C24—861no—
530C24—3442no—
531C24—3442no—
532C24—1721no—
533C24—1721no—
534C24—1722no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—432no—
541C2×D4—864no—
542C2×D4—864no—
543C2×D4—864no—
544C2×D4—864no—
545C2×D4—864no—
546C2×D4—861no—
547C2×D4—861no—
548C2×D4—861no—
549C2×D4—861no—
550C2×D4—861no—
551C2×D4—1722no—
552C2×D4—1722no—
553C2×D4—1722no—
554C2×D4—1722no—
555C2×D4—1721no—
556C2×D4—1721no—
557C2×D4—1722no—
558C2×D4Q8×D4312yes—
559C22×C4—21no—
560C22×C4—431no—
561C22×C4—431no—
562C22×C4—431no—
563C22×C4—431no—
564C22×C4—431no—
565C22×C4—432no—
566C22×C4—432no—
567C22×C4—432no—
568C22×C4—432no—
569C22×C4—861no—
570C22×C4—861no—
571C22×C4—861no—
572C22×C4—3442no—
573C22×C4—1721no—
574C22×C4—1721no—
575C22×C4C23×D4311yescharacteristic
576M16—21no—
577M16—21no—
578M16—21no—
579M16—21no—
580M16—21no—
581M16—432no—
582M16—864no—
583M16—861no—
584M16—861no—
585M16—861no—
586M16—861no—
587M16—861no—
588M16—1722no—
589M16—1722no—
590M16D4×D4312yes—
591C2×C8—21no—
592C2×C8—21no—
593C2×C8—21no—
594C2×C8—21no—
595C2×C8—21no—
596C2×C8—432no—
597C2×C8—864no—
598C2×C8—864no—
599C2×C8—864no—
600C2×C8—861no—
601C2×C8—861no—
602C2×C8—861no—
603C2×C8—861no—
604C2×C8—861no—
605C2×C8—1722no—
606C2×C8—1722no—
607C2×C8D4×D4312yes—
608C4⋊C4—21no—
609C4⋊C4—21no—
610C4⋊C4—431no—
611C4⋊C4—431no—
612C4⋊C4—861no—
613C4⋊C4—861no—
614C4⋊C4—861no—
615C4⋊C4—861no—
616C4⋊C4—1721no—
617C4⋊C4—1721no—
618C4⋊C4D4×D4311yescharacteristic
619C4⋊C4D4×D4311yescharacteristic
620C22⋊C4—21no—
621C22⋊C4—861no—
622C22⋊C4—861no—
623C22⋊C4—861no—
624C42—21no—
625C42—861no—
626C42—861no—
627C42—861no—
628C23—22no—
629C23—41no—
630C23—41no—
631C23—81no—
632C23—81no—
633C23—431no—
634C23—431no—
635C23—432no—
636C23—432no—
637C23—862no—
638C23—862no—
639C23—862no—
640C23—3441no—
641C23—3441no—
642C23—3442no—
643C23—3442no—
644C23—3448no—
645C23—3448no—
646C23—3442no—
647C23—3442no—
648C23—1724no—
649C23—1724no—
650C23—1721no—
651C23—1721no—
652C23#41×D4311yescharacteristic
653D4—22no—
654D4—22no—
655D4—41no—
656D4—41no—
657D4—862no—
658D4—862no—
659D4—1724no—
660D4—1724no—
661D4—1721no—
662D4—1721no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—41no—
666C2×C4—81no—
667C2×C4—431no—
668C2×C4—431no—
669C2×C4—432no—
670C2×C4—432no—
671C2×C4—432no—
672C2×C4—432no—
673C2×C4—432no—
674C2×C4—432no—
675C2×C4—432no—
676C2×C4—432no—
677C2×C4—432no—
678C2×C4—432no—
679C2×C4—861no—
680C2×C4—861no—
681C2×C4—3442no—
682C2×C4—3442no—
683C2×C4—3441no—
684C2×C4—1722no—
685C2×C4—1722no—
686C2×C4—1721no—
687C2×C4C2×D4×D4311yescharacteristic
688C2×C4C2×D4×D4311yescharacteristic
689C2×C4C2×D4×D4311yescharacteristic
690C2×C4C2×Q8×D4311yescharacteristic
691C2×C4#41×D4311yescharacteristic
692C2×C4#41×D4311yescharacteristic
693C8—22no—
694C8—22no—
695C8—41no—
696C8—41no—
697C8—862no—
698C8—862no—
699C8—1721no—
700C8—1721no—
701C22—21no—
702C22—21no—
703C22—42no—
704C22—82no—
705C22—82no—
706C22—81no—
707C22—81no—
708C22—432no—
709C22—432no—
710C22—432no—
711C22—432no—
712C22—864no—
713C22—864no—
714C22—861no—
715C22—861no—
716C22—3442no—
717C22—3442no—
718C22—3448no—
719C22—3448no—
720C22—3441no—
721C22—3441no—
722C22—1722no—
723C22#121×D4311yescharacteristic
724C22C22⋊Q8×D4311yescharacteristic
725C22#126×D4311yescharacteristic
726C4—41no—
727C4—41no—
728C4—81no—
729C4—432no—
730C4—432no—
731C4—3441no—
732C4—1721no—
733C4—1721no—
734C4#121×D4311yescharacteristic
735C4#121×D4311yescharacteristic
736C4C22⋊Q8×D4311yescharacteristic
737C4C22⋊Q8×D4311yescharacteristic
738C2—21no—
739C2—21no—
740C2—82no—
741C2—434no—
742C2—862no—
743C2—3442no—
744C2#396×D4311yescharacteristic
745C2#471×D4311yescharacteristic
746C2#472×D4311yescharacteristic
subgroupG/H
centerC22#121×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2063C2
socleC22×C43C2×#121
prime radicalC22×D4×D43C22
hypercenter#2063D43
hypocenterC43C2×#2063
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2063

Complements

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

NH ≅ G/Ntype
1. C2×#108×D43C2semidirect
2. #428×D43C2semidirect
3. #424×D43C2semidirect
7. #19135956C2semidirect
8. #19135955C2semidirect
9. #19135954C2semidirect
10. #19135953C2semidirect
11. #19135952C2semidirect
12. #19135951C2semidirect
13. #19135950C2semidirect
14. #343×D43C2semidirect
15. C43×#2063C2semidirect
23. C2×#13063261C22semidirect
24. C2×#13063260C22semidirect
25. C2×#13063260C22semidirect
27. #14582942C22semidirect
28. #14582941C22semidirect
30. #14582939C22semidirect
34. #14582927C22semidirect
35. #14582926C22semidirect
36. #14582925C22semidirect
55. #14582668C22semidirect
56. #14582667C22semidirect
57. #14582667C22semidirect
58. C2×#108×C43C22semidirect
59. C43×#428C22semidirect
60. C43×#424C22semidirect
64. C43×#343C22semidirect
378. #2063D43direct (N × H)
388. D43#2063direct (N × H)
400. C2×#108C2×D43semidirect
406. #428C2×D43semidirect
413. #424C2×D43semidirect
437. #343C2×D43semidirect
438. C43C2×#2063semidirect

Maximal subgroups

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

subgroupindex
C2×#108×D432
#428×D432
#424×D432
#418×D432
C2×#102×D432
C2×#100×D432
#191359562
#191359552
#191359542
#191359532
#191359522
#191359512
#191359502
#343×D432
C43×#20632
C2×#206343