Finite Group Databasebeta

← #25139110

Subgroups — #25139110

Order 11008.

884 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583159C211yesmaximal, characteristic, complemented
2#19144221C211yesmaximal, characteristic, complemented
3#19144210C211yesmaximal, characteristic
4#19143289C211yesmaximal, characteristic, complemented
5C22×#13063261C211yesmaximal, characteristic, complemented
6#19135960C211yesmaximal, characteristic, complemented
7#19135953C211yesmaximal, characteristic, complemented
8#19135895C211yesmaximal, characteristic, complemented
9#19135888C211yesmaximal, characteristic, complemented
10#19135500C211yesmaximal, characteristic, complemented
11#19135373C211yesmaximal, characteristic, complemented
12#19135064C211yesmaximal, characteristic, complemented
13#19135059C211yesmaximal, characteristic, complemented
14#19134655C211yesmaximal, characteristic, complemented
15C2×C43×#465C211yesmaximal, characteristic, complemented
16C2×#13063356C2211yescharacteristic
17C2×#13063351C2211yescharacteristic
18C2×#13063331C2211yescharacteristic
19C22×#10621877C2211yescharacteristic
20C22×#10621877C2211yescharacteristic
21#14583410C2211yescharacteristic
22#14583159—24no—
23#14583155—21no—
24#14583150—21no—
25#14583147—21no—
26#14583143—21no—
27#14583138—21no—
28#14583133—21no—
29#14583130—21no—
30#14583126—21no—
31#14582970—21no—
32#14582970—21no—
33C8×C22⋊D43—21no—
34C8×C22⋊D43—21no—
35C2×#13063261—24no—
36C2×#13063261C2211yescharacteristic
37C2×#13063261C2211yescharacteristic
38C2×#13063261C2211yescharacteristic
39C2×#13063261C2211yescharacteristic
40#14582939C2211yescharacteristic
41#14582939C2211yescharacteristic
42#14582925C2211yescharacteristic
43#14582908C2211yescharacteristic
44#14582904C2211yescharacteristic
45#14582898C2211yescharacteristic
46#14582898C2211yescharacteristic
47C2×#13063244C2211yescharacteristic
48C2×#13063244C2211yescharacteristic
49C2×#13063242C2211yescharacteristic
50C2×#13063242C2211yescharacteristic
51#14582865C2211yescharacteristic
52#14582863C2211yescharacteristic
53#14582854C2211yescharacteristic
54#14582668C2211yescharacteristic
55#14582668C2211yescharacteristic
56#14582668C2211yescharacteristic
57#14582668C2211yescharacteristic
58C22×SD16×C43C2211yescharacteristic
59C23×C8×C43C2211yescharacteristic
60C2×C22⋊Q8×C43C2211yescharacteristic
61C2×#121×C43C2211yescharacteristic
62C43×#465—21no—
63C43×#465—21no—
64C43×#465—21no—
65C43×#465—21no—
66C2×#106×C43C2211yescharacteristic
67C2×#103×C43C2211yescharacteristic
68C2×#102×C43C2211yescharacteristic
69C2×#10621898C2311yescharacteristic
70#13063356—22no—
71#13063356—41no—
72#13063351—22no—
73#13063351—41no—
74C2×#10621885—21no—
75C2×#10621883—21no—
76C2×#10621884—21no—
77C2×#10621882—21no—
78#13063331—22no—
79#13063331—22no—
80C2×#10621877—21no—
81C2×#10621877—21no—
82C2×#10621877—22no—
83C2×#10621877—22no—
84C2×#10621877—41no—
85C2×#10621877—41no—
86C2×#10621877C2311yescharacteristic
87C2×#10621877C2311yescharacteristic
88C2×#10621877C2311yescharacteristic
89C2×#10621877C2311yescharacteristic
90C2×#10621877C2311yescharacteristic
91C2×#10621877C2311yescharacteristic
92C2×#10621872—21no—
93C22×C43⋊C8—21no—
94C22×C43⋊C8—21no—
95C2×C8×D43—21no—
96#13063308—21no—
97#13063304D411yescharacteristic
98#13063304D411yescharacteristic
99#13063299D411yescharacteristic
100#13063299D411yescharacteristic
101#13063294—21no—
102C4×C22⋊D43—21no—
103C4×C22⋊D43—21no—
104#13063284C2311yescharacteristic
105#13063261—22no—
106#13063261—22no—
107#13063261—22no—
108#13063261D414yescomplemented
109#13063258—21no—
110#13063258—21no—
111#13063256—21no—
112#13063256—21no—
113Dic43⋊C8—21no—
114Dic43⋊C8—21no—
115#13063249—21no—
116#13063249—21no—
117#13063248—21no—
118#13063248—21no—
119#13063246—21no—
120#13063246—21no—
121#13063245—21no—
122#13063245—21no—
123#13063244—22no—
124#13063244—41no—
125#13063242—22no—
126#13063242—41no—
127C22⋊(C43⋊C8)—21no—
128C22⋊(C43⋊C8)—21no—
129(C2×D43)⋊C8—21no—
130(C2×D43)⋊C8—21no—
131#13063235—21no—
132C8×Dic43—21no—
133C22×Q8×C43C2311yescharacteristic
134C22×D4×C43—21no—
135C22×D4×C43C2311yescharacteristic
136C23×C4×C43C2311yescharacteristic
137C2×SD16×C43—22no—
138C2×SD16×C43—21no—
139C2×SD16×C43—21no—
140C2×SD16×C43—22no—
141C22×C8×C43—22no—
142C22×C8×C43—22no—
143C22×C8×C43D411yescharacteristic
144C22×C8×C43D411yescharacteristic
145C22×C8×C43D411yescharacteristic
146C22×C8×C43D411yescharacteristic
147C22×C8×C43C2311yescharacteristic
148C22×C8×C43C2311yescharacteristic
149C22⋊Q8×C43—21no—
150C22⋊Q8×C43—21no—
151C22⋊Q8×C43—21no—
152C22⋊Q8×C43—21no—
153#121×C43—21no—
154#121×C43—21no—
155#121×C43—21no—
156#121×C43—21no—
157C2×C4⋊C4×C43—21no—
158C2×C4⋊C4×C43C2311yescharacteristic
159C2×C4⋊C4×C43C2311yescharacteristic
160C2×C22⋊C4×C43—21no—
161C2×C22⋊C4×C43—21no—
162#106×C43—21no—
163#106×C43—21no—
164#103×C43—21no—
165#103×C43—21no—
166#102×C43—21no—
167#102×C43—21no—
168C24×C43—21no—
169C24×C43#4111yescharacteristic
170C2×Q8×C43—21no—
171C2×Q8×C43—21no—
172C2×Q8×C43—21no—
173C2×Q8×C43—21no—
174C2×Q8×C43—21no—
175C2×Q8×C43—21no—
176C2×D4×C43—21no—
177C2×D4×C43—21no—
178C2×D4×C43—21no—
179C2×D4×C43—21no—
180C2×D4×C43—21no—
181C2×D4×C43—21no—
182C2×D4×C43—41no—
183C2×D4×C43—41no—
184C2×D4×C43—82no—
185C22×C4×C43—21no—
186C22×C4×C43—21no—
187C22×C4×C43—21no—
188C22×C4×C43—21no—
189C22×C4×C43—21no—
190C22×C4×C43—21no—
191C22×C4×C43—21no—
192C22×C4×C43C2×D411yescharacteristic
193C22×C4×C43C2×D411yescharacteristic
194C22×C4×C43C2×D411yescharacteristic
195C22×C4×C43C2×D411yescharacteristic
196C22×C4×C43#4111yescharacteristic
197C22×C4×C43C2411yescharacteristic
198C2×C22⋊D43—21no—
199C2×C22⋊D43—21no—
200C2×C22⋊D43—21no—
201#10621898—21no—
202#10621898—21no—
203#10621898—21no—
204#10621898—21no—
205C2×D172C2×D411yescharacteristic
206C2×C4×D43—21no—
207C2×Dic86C2×D411yescharacteristic
208SD16×C43—42no—
209SD16×C43—42no—
210C2×C8×C43—21no—
211C2×C8×C43—21no—
212C2×C8×C43—22no—
213C2×C8×C43—22no—
214C2×C8×C43—22no—
215C2×C8×C43—22no—
216C2×C8×C43C2×D412yes—
217C2×C8×C43C2×D411yescharacteristic
218C2×C8×C43C2×D411yescharacteristic
219C2×C8×C43C2×D411yescharacteristic
220C2×C8×C43C2×D411yescharacteristic
221C2×C8×C43#4112yes—
222C4⋊C4×C43—21no—
223C4⋊C4×C43—21no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—21no—
226C4⋊C4×C43—41no—
227C4⋊C4×C43—41no—
228C22⋊C4×C43—41no—
229C22⋊C4×C43—41no—
230C22⋊C4×C43—41no—
231C22⋊C4×C43—41no—
232C22⋊Dic43—21no—
233C22⋊Dic43—21no—
234C22⋊Dic43—21no—
235#10621885—42no—
236#10621884—42no—
237#10621883—42no—
238#10621882—42no—
239(C2×D43)⋊C4—21no—
240(C2×D43)⋊C4—21no—
241C4⋊Dic43C2×D411yescharacteristic
242C4⋊Dic43C2×D411yescharacteristic
243Dic43⋊C4—21no—
244Dic43⋊C4—21no—
245C4×Dic43—21no—
246#10621877—21no—
247#10621877—21no—
248#10621877—21no—
249#10621877—21no—
250#10621877—21no—
251#10621877—21no—
252#10621877—21no—
253#10621877—21no—
254#10621877—21no—
255#10621877—21no—
256#10621877—42no—
257#10621877—42no—
258#10621877C2×D412yes—
259#10621877C2×D412yes—
260C2×C43⋊C8—21no—
261C2×C43⋊C8—21no—
262C2×C43⋊C8—21no—
263C2×C43⋊C8—21no—
264C2×C43⋊C8—21no—
265C2×C43⋊C8—21no—
266C2×C43⋊C8—42no—
267C2×C43⋊C8—42no—
268#10621872—42no—
269C8×D43—42no—
270C23×C43—21no—
271C23×C43—21no—
272C23×C43—22no—
273C23×C43—41no—
274C23×C43—41no—
275C23×C43—41no—
276C23×C43—41no—
277C23×C43—81no—
278C23×C43—81no—
279C23×C43#12111yescharacteristic
280C23×C43#12111yescharacteristic
281C23×C43C2×#4111yescharacteristic
282C22×D43—21no—
283Q8×C43—41no—
284Q8×C43—41no—
285Q8×C43—41no—
286Q8×C43—41no—
287D4×C43—41no—
288D4×C43—41no—
289D4×C43—41no—
290D4×C43—41no—
291D4×C43—82no—
292D4×C43—82no—
293C2×C4×C43—21no—
294C2×C4×C43—21no—
295C2×C4×C43—21no—
296C2×C4×C43—21no—
297C2×C4×C43—21no—
298C2×C4×C43—21no—
299C2×C4×C43—21no—
300C2×C4×C43—21no—
301C2×C4×C43—21no—
302C2×C4×C43—21no—
303C2×C4×C43—41no—
304C2×C4×C43—41no—
305C2×C4×C43—41no—
306C2×C4×C43—41no—
307C2×C4×C43—41no—
308C2×C4×C43—81no—
309C2×C4×C43—81no—
310C2×C4×C43#12111yescharacteristic
311C2×C4×C43#12111yescharacteristic
312C2×C4×C43C22×D411yescharacteristic
313C2×C4×C43C22×D411yescharacteristic
314C2×C4×C43C22×D411yescharacteristic
315C2×C4×C43C2×#4111yescharacteristic
316C2×C4×C43H(5,𝔽2)11yescharacteristic
317C2×C4×C432−1+411yescharacteristic
318C22⋊D43—42no—
319C22⋊D43—41no—
320C22⋊D43—41no—
321C22⋊D43—42no—
322C2×Dic43—21no—
323C2×Dic43—21no—
324C2×Dic43—21no—
325D172—21no—
326D172—21no—
327C4×D43—41no—
328C4×D43—41no—
329Dic86—21no—
330Dic86—21no—
331C8×C43—21no—
332C8×C43—21no—
333C8×C43#12112yes—
334C8×C43#12112yes—
335C43⋊C8—22no—
336C43⋊C8—22no—
337C43⋊C8—41no—
338C43⋊C8—41no—
339C43⋊C8—41no—
340C43⋊C8—41no—
341#24802—431nomaximal, Sylow
342C22×C43—21no—
343C22×C43—21no—
344C22×C43—21no—
345C22×C43—21no—
346C22×C43—21no—
347C22×C43—21no—
348C22×C43—21no—
349C22×C43—42no—
350C22×C43—42no—
351C22×C43—81no—
352C22×C43—81no—
353C22×C43—81no—
354C22×C43—161no—
355C22×C43—161no—
356C22×C43#47112yescomplemented
357C22×C43C2×#12111yescharacteristic
358C22×C43#54811yescharacteristic
359C22×C43#55311yescharacteristic
360C2×D43—41no—
361C2×D43—41no—
362C2×D43—41no—
363C4×C43—21no—
364C4×C43—21no—
365C4×C43—81no—
366C4×C43—81no—
367C4×C43—81no—
368C4×C43C2×#12111yescharacteristic
369C4×C43#53711yescharacteristic
370C4×C43D4211yescharacteristic
371C4×C43#54711yescharacteristic
372Dic43—41no—
373Dic43—41no—
374Dic43—41no—
375C2×#471—431no—
376#3056—431no—
377#3055—431no—
378C2×#465D4311yescharacteristic, complemented
379#2929—431no—
380C22×#108—431no—
381#2064—431no—
382#2063—431no—
383#2052—431no—
384#2051—431no—
385#1977—431no—
386#1951—431no—
387#1901—431no—
388#1900—431no—
389#1815—431no—
390C2×C43—21no—
391C2×C43—21no—
392C2×C43—22no—
393C2×C43—41no—
394C2×C43—161no—
395C2×C43#241611yescharacteristic
396C2×C43C2×#47111yescharacteristic
397C2×C43#306711yescharacteristic
398D43—81no—
399C2×#137—431no—
400C2×AGL(1,ℤ/8)—431no—
401C22×SD16C2×D4311yescharacteristic
402C2×#131—431no—
403C22×M16—431no—
404C22×M16—431no—
405C23×C8C2×D4311yescharacteristic
406#525—431no—
407C2×C22⋊Q8C2×D4311yescharacteristic
408C2×#121C2×D4311yescharacteristic
409#471—864no—
410#470—861no—
411#469—861no—
412#468—861no—
413#468—861no—
414#467—861no—
415#466—861no—
416#465—21no—
417#465—21no—
418#465—21no—
419#465—21no—
420#465—861no—
421#465—861no—
422#435—861no—
423#435—861no—
424C8×D4—861no—
425C8×D4—861no—
426C2×#108—431no—
427C2×#108—431no—
428C2×#108—431no—
429C2×#108—431no—
430C2×#108—864no—
431#428—431no—
432#428—431no—
433C2×#106C2×D4311yescharacteristic
434#424—431no—
435#419—431no—
436#418—431no—
437#417—431no—
438#417—431no—
439C2×#103C2×D4311yescharacteristic
440C2×#102C2×D4311yescharacteristic
441C2×#101—431no—
442C2×#101—431no—
443C2×#100—431no—
444C2×#100—431no—
445#408—431no—
446#407—431no—
447#405—431no—
448#343—431no—
449#343—431no—
450#343—431no—
451#343—431no—
452C43#2480211yescharacteristic, complemented, Sylow
453C2×#41—431no—
454C22×Q8C22×D4311yescharacteristic
455C22×D4—21no—
456C22×D4C22×D4311yescharacteristic
457C23×C4C22×D4311yescharacteristic
458#137—862no—
459#137—1721no—
460AGL(1,ℤ/8)—862no—
461AGL(1,ℤ/8)—1721no—
462C2×Q16—861no—
463C2×SD16—22no—
464C2×SD16—22no—
465C2×SD16—21no—
466C2×SD16—21no—
467C2×SD16—861no—
468C2×SD16—861no—
469C2×D8—861no—
470#131—862no—
471#131—862no—
472C2×M16—431no—
473C2×M16—431no—
474C2×M16—431no—
475C2×M16—431no—
476C2×M16—431no—
477C2×M16—431no—
478C2×M16—861no—
479C2×M16—861no—
480C2×M16—861no—
481C2×M16—862no—
482C2×M16—862no—
483C2×M16—1721no—
484C2×M16—1721no—
485C22×C8—22no—
486C22×C8—22no—
487C22×C8—861no—
488C22×C8—861no—
489C22×C8—861no—
490C22×C8C22⋊D4311yescharacteristic
491C22×C8C22⋊D4311yescharacteristic
492C22×C8C22⋊D4311yescharacteristic
493C22×C8C22⋊D4311yescharacteristic
494C22×C8C22×D4311yescharacteristic
495C22×C8C22×D4311yescharacteristic
496#123—861no—
497C22⋊Q8—21no—
498C22⋊Q8—21no—
499C22⋊Q8—21no—
500C22⋊Q8—21no—
501C22⋊Q8—431no—
502C22⋊Q8—431no—
503#121—21no—
504#121—21no—
505#121—21no—
506#121—21no—
507#121—431no—
508#121—431no—
509#120—861no—
510C4×D4—861no—
511C4×D4—861no—
512#117—431no—
513C2×C4⋊C4—21no—
514C2×C4⋊C4C22×D4311yescharacteristic
515C2×C4⋊C4C22×D4311yescharacteristic
516C2×C22⋊C4—21no—
517C2×C22⋊C4—21no—
518#108—434no—
519#108—862no—
520#108—862no—
521#108—862no—
522#107—861no—
523#107—861no—
524#106—21no—
525#106—21no—
526#106—861no—
527#106—861no—
528C4⋊C8—861no—
529C4⋊C8—861no—
530#103—21no—
531#103—21no—
532#103—861no—
533#103—861no—
534#103—861no—
535#103—861no—
536#102—21no—
537#102—21no—
538#102—861no—
539#102—861no—
540#102—861no—
541#102—861no—
542#101—862no—
543#101—1721no—
544#100—862no—
545#100—1721no—
546C22⋊C8—861no—
547C22⋊C8—861no—
548C22⋊C8—861no—
549C22⋊C8—861no—
550#97—861no—
551C4×C8—861no—
552C24—21no—
553C24#1062190011yescharacteristic
554#41—861no—
555#41—861no—
556#41—861no—
557#41—861no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8—21no—
563C2×Q8—21no—
564C2×Q8—431no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—41no—
572C2×D4—41no—
573C2×D4—82no—
574C2×D4—431no—
575C2×D4—861no—
576C2×D4—861no—
577C2×D4—861no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—861no—
586C22×C4D4×D4311yescharacteristic
587C22×C4D4×D4311yescharacteristic
588C22×C4#1062190011yescharacteristic
589C22×C4C2×C22⋊D4311yescharacteristic
590C22×C4C2×C22⋊D4311yescharacteristic
591C22×C4C23×D4311yescharacteristic
592Q16—1722no—
593SD16—42no—
594SD16—42no—
595SD16—1722no—
596SD16—1722no—
597D8—1722no—
598M16—432no—
599M16—432no—
600M16—861no—
601M16—861no—
602M16—861no—
603M16—861no—
604M16—861no—
605M16—861no—
606M16—861no—
607M16—861no—
608M16—861no—
609M16—861no—
610M16—1722no—
611M16—1722no—
612M16—1722no—
613C2×C8—21no—
614C2×C8—21no—
615C2×C8—22no—
616C2×C8—22no—
617C2×C8—22no—
618C2×C8—22no—
619C2×C8—861no—
620C2×C8—861no—
621C2×C8—861no—
622C2×C8—861no—
623C2×C8—861no—
624C2×C8—861no—
625C2×C8—1722no—
626C2×C8—1722no—
627C2×C8—1722no—
628C2×C8D4×D4312yes—
629C2×C8#1062190012yes—
630C2×C8C2×C22⋊D4311yescharacteristic
631C2×C8C2×C22⋊D4311yescharacteristic
632C2×C8C2×C22⋊D4311yescharacteristic
633C2×C8C2×C22⋊D4311yescharacteristic
634C4⋊C4—21no—
635C4⋊C4—21no—
636C4⋊C4—21no—
637C4⋊C4—21no—
638C4⋊C4—41no—
639C4⋊C4—41no—
640C4⋊C4—431no—
641C4⋊C4—431no—
642C4⋊C4—861no—
643C4⋊C4—861no—
644C22⋊C4—41no—
645C22⋊C4—41no—
646C22⋊C4—41no—
647C22⋊C4—41no—
648C22⋊C4—861no—
649C22⋊C4—861no—
650C22⋊C4—861no—
651C22⋊C4—861no—
652C22⋊C4—861no—
653C42—861no—
654C23—21no—
655C23—21no—
656C23—22no—
657C23—41no—
658C23—41no—
659C23—41no—
660C23—41no—
661C23—81no—
662C23—81no—
663C23—861no—
664C23#1306329611yescharacteristic
665C23#1306329611yescharacteristic
666C23C2×#1062190011yescharacteristic
667Q8—41no—
668Q8—41no—
669Q8—41no—
670Q8—41no—
671Q8—861no—
672Q8—861no—
673D4—41no—
674D4—41no—
675D4—41no—
676D4—41no—
677D4—82no—
678D4—82no—
679D4—861no—
680D4—861no—
681D4—1722no—
682D4—1721no—
683D4—1721no—
684D4—1722no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—81no—
701C2×C4—81no—
702C2×C4—861no—
703C2×C4—861no—
704C2×C4—861no—
705C2×C4—1721no—
706C2×C4—1721no—
707C2×C4#1306329611yescharacteristic
708C2×C4#1306329611yescharacteristic
709C2×C4C2×D4×D4311yescharacteristic
710C2×C4C2×D4×D4311yescharacteristic
711C2×C4C22×C22⋊D4311yescharacteristic
712C2×C4C2×#1062190011yescharacteristic
713C2×C4#1306337111yescharacteristic
714C2×C4#1306337211yescharacteristic
715C8—21no—
716C8—21no—
717C8—862no—
718C8—862no—
719C8—1721no—
720C8—1721no—
721C8—1721no—
722C8—1721no—
723C8#1306329712yes—
724C8#1306329712yes—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—42no—
733C22—42no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—161no—
738C22—161no—
739C22—1721no—
740C22—1721no—
741C22—1721no—
742C22#1458315912yescomplemented
743C22C2×#1306329611yescharacteristic
744C22#1458355511yescharacteristic
745C22#1458360111yescharacteristic
746C4—21no—
747C4—21no—
748C4—81no—
749C4—81no—
750C4—81no—
751C4—1721no—
752C4—1721no—
753C4—1721no—
754C4C2×#1306329711yescharacteristic
755C4#1458347711yescharacteristic
756C4#1458353311yescharacteristic
757C4#1458354911yescharacteristic
758C2—21no—
759C2—21no—
760C2—22no—
761C2—41no—
762C2—161no—
763C2—3441no—
764C2#1913803611yescharacteristic
765C2C2×#1458315911yescharacteristic
766C2#1914431111yescharacteristic
subgroupG/H
centerC22C2×#13063296
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#465C2
socleC22×C43C2×#121
prime radical#19144210C2
hypercenterC2×#465D43
hypocenterC43#24802
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#465

Complements

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

NH ≅ G/Ntype
1. C2×#14583159C2semidirect
2. #19144221C2semidirect
4. #19143289C2semidirect
5. C22×#13063261C2semidirect
6. #19135960C2semidirect
7. #19135953C2semidirect
8. #19135895C2semidirect
9. #19135888C2semidirect
10. #19135500C2semidirect
11. #19135373C2semidirect
12. #19135064C2semidirect
13. #19135059C2semidirect
14. #19134655C2semidirect
15. C2×C43×#465C2semidirect
108. #13063261D4semidirect
356. C22×C43#471semidirect
378. C2×#465D43semidirect
452. C43#24802semidirect
742. C22#14583159semidirect

Maximal subgroups

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

subgroupindex
C2×#145831592
#191442212
#191442102
#191432892
C22×#130632612
#191359602
#191359532
#191358952
#191358882
#191355002
#191353732
#191350642
#191350592
#191346552
C2×C43×#4652
#2480243