Finite Group Databasebeta

← D43×#1931 #25099132

Subgroups — D43×#1931 #25099132

Order 11008.

1154 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#428×D43C211yesmaximal, characteristic, complemented
2#418×D43C211yesmaximal, characteristic
3C2×#102×D43C211yesmaximal, characteristic
4C2×#100×D43C211yesmaximal, characteristic
5#405×D43C211yesmaximal, characteristic, complemented
6#19135260C211yesmaximal, characteristic, complemented
7#19135259C211yesmaximal, characteristic, complemented
8#19135258C211yesmaximal, characteristic, complemented
9#19135257C211yesmaximal, characteristic, complemented
10#19135256C211yesmaximal, characteristic, complemented
11#19135255C211yesmaximal, characteristic, complemented
12#19135254C211yesmaximal, characteristic, complemented
13#343×D43C211yesmaximal, characteristic, complemented
14#341×D43C211yesmaximal, characteristic, complemented
15C43×#1931C211yesmaximal, characteristic, complemented
16C22×D4×D43C2211yescharacteristic
17C2×M16×D43C2211yescharacteristic
18C2×M16×D43C2211yescharacteristic
19C2×M16×D43C2211yescharacteristic
20C22×C8×D43C2211yescharacteristic
21#117×D43C2211yescharacteristic
22C2×C4⋊C4×D43C2211yescharacteristic
23#14582942C2211yescharacteristic, complemented
24#14582941C2211yescharacteristic, complemented
25#14582940—21no—
26#14582939C2211yescharacteristic, complemented
27#14582938—21no—
28#107×D43—21no—
29#106×D43—21no—
30#14582905C2211yescharacteristic
31#14582904C2211yescharacteristic
32#14582903C2211yescharacteristic
33#14582902—21no—
34#14582902—21no—
35C2×#13063247C2211yescharacteristic
36C2×#13063246C2211yescharacteristic
37C2×#13063245C2211yescharacteristic
38#102×D43—21no—
39#102×D43—21no—
40#102×D43—21no—
41#102×D43—21no—
42#102×D43—21no—
43#102×D43—21no—
44C2×#13063242C2211yescharacteristic
45C2×#13063241C2211yescharacteristic
46C2×#13063241C2211yescharacteristic
47#100×D43C418yescomplemented
48#14582857C2211yescharacteristic, complemented
49#14582856—21no—
50#14582855C2211yescharacteristic, complemented
51#14582854C2211yescharacteristic, complemented
52#14582853—21no—
53#97×D43—21no—
54C4×C8×D43—21no—
55#14582668C2211yescharacteristic, complemented
56#14582667C2211yescharacteristic, complemented
57#14582667C2211yescharacteristic, complemented
58#14582664C2211yescharacteristic, complemented
59#14582663C2211yescharacteristic, complemented
60#14582663C2211yescharacteristic, complemented
61C43×#428C2211yescharacteristic, complemented
62C43×#418C2211yescharacteristic
63C2×#102×C43C2211yescharacteristic
64C2×#100×C43C2211yescharacteristic
65C43×#405C2211yescharacteristic, complemented
66C43×#343C2211yescharacteristic, complemented
67C43×#341C2211yescharacteristic, complemented
68C24×D43—21no—
69C22×D172C2311yescharacteristic
70C22×C22⋊D43—21no—
71C2×D4×D43—21no—
72C2×D4×D43—21no—
73C2×D4×D43—21no—
74C2×D4×D43—21no—
75C2×D4×D43—22no—
76C2×D4×D43—22no—
77C2×D4×D43—22no—
78C2×D4×D43C2×C414yes—
79C22×C4×D43—21no—
80C22×C4×D43C2311yescharacteristic
81C2×#10621877C2311yescharacteristic
82C2×#10621877C2311yescharacteristic
83C2×#10621877C2311yescharacteristic
84C2×#10621872—21no—
85C2×#10621872—21no—
86C2×#10621872—21no—
87M16×D43—22no—
88M16×D43—22no—
89M16×D43—22no—
90M16×D43—22no—
91M16×D43C2×C414yes—
92M16×D43C2×C414yes—
93C22×C43⋊C8C2311yescharacteristic
94C2×C8×D43—21no—
95C2×C8×D43—21no—
96C2×C8×D43—22no—
97C2×C8×D43—22no—
98C2×C8×D43—21no—
99C2×C8×D43D411yescharacteristic
100C2×C8×D43D411yescharacteristic
101C2×C8×D43D411yescharacteristic
102C2×C8×D43D411yescharacteristic
103#13063284C2311yescharacteristic
104#13063283D411yescharacteristic
105#13063283D411yescharacteristic
106#13063282—21no—
107#13063281—21no—
108C2×C4⋊Dic43C2311yescharacteristic
109C2×Dic43⋊C4—21no—
110C4⋊C4×D43—21no—
111C4⋊C4×D43—21no—
112C4⋊C4×D43—21no—
113C4⋊C4×D43—21no—
114C4⋊C4×D43D411yescharacteristic
115C4⋊C4×D43D411yescharacteristic
116C22⋊C4×D43—21no—
117C42×D43—21no—
118#13063259—21no—
119#13063258—21no—
120#13063258—21no—
121#13063257—21no—
122#13063256—21no—
123#13063256—21no—
124#13063247—21no—
125#13063247—21no—
126#13063247—21no—
127#13063247—21no—
128#13063246—21no—
129#13063246—21no—
130#13063246—21no—
131#13063246—21no—
132#13063245—21no—
133#13063245—21no—
134#13063245—21no—
135#13063245—21no—
136#13063242C2×C414yescomplemented
137#13063241C2×C414yescomplemented
138#13063241C2×C414yescomplemented
139#13063236—21no—
140#13063235—21no—
141#13063235—21no—
142C4×C43⋊C8—21no—
143C8×Dic43—21no—
144C8×Dic43—21no—
145C22×D4×C43C2311yescharacteristic
146C2×M16×C43C2311yescharacteristic
147C2×M16×C43C2311yescharacteristic
148C2×M16×C43C2311yescharacteristic
149C22×C8×C43C2311yescharacteristic
150#117×C43C2311yescharacteristic
151C2×C4⋊C4×C43C2311yescharacteristic
152#107×C43—21no—
153#106×C43—21no—
154#102×C43—21no—
155#102×C43—21no—
156#102×C43—21no—
157#102×C43—21no—
158#100×C43C2×C414yescomplemented
159#97×C43—21no—
160C4×C8×C43—21no—
161C24×C43—21no—
162C23×D43—21no—
163C23×D43—24no—
164C23×D43—41no—
165C23×D43—41no—
166C23×D43—42no—
167C23×D43—82no—
168C23×D43—82no—
169C23×D43#4111yescharacteristic
170C2×D4×C43—21no—
171C2×D4×C43—21no—
172C2×D4×C43—21no—
173C2×D4×C43—21no—
174C2×D4×C43—21no—
175C2×D4×C43C22×C412yes—
176C22×C4×C43—21no—
177C22×C4×C43C2411yescharacteristic
178C2×C22⋊D43—24no—
179C2×C22⋊D43—41no—
180C2×C22⋊D43—41no—
181C2×C22⋊D43—42no—
182C22×Dic43—21no—
183C22×Dic43#4111yescharacteristic
184D4×D43—24no—
185D4×D43—24no—
186D4×D43—24no—
187D4×D43—24no—
188D4×D43—42no—
189D4×D43—42no—
190D4×D43—42no—
191D4×D43—42no—
192C2×D172—21no—
193C2×D172—21no—
194C2×D172—21no—
195C2×D172—21no—
196C2×D172—21no—
197C2×D172C22×C412yes—
198C2×C4×D43—21no—
199C2×C4×D43—21no—
200C2×C4×D43—41no—
201C2×C4×D43—41no—
202C2×C4×D43—82no—
203C2×C4×D43C22×C412yes—
204C2×C4×D43C2×D411yescharacteristic
205C2×C4×D43C2×D411yescharacteristic
206C2×C4×D43C2×D411yescharacteristic
207C2×C4×D43C2×D411yescharacteristic
208C2×C4×D43#4112yes—
209C2×C4×D43#4112yes—
210C2×C4×D43#4112yes—
211M16×C43—21no—
212M16×C43—21no—
213M16×C43—21no—
214M16×C43—21no—
215M16×C43C22×C412yes—
216M16×C43C22×C412yes—
217C2×C8×C43—21no—
218C2×C8×C43—21no—
219C2×C8×C43—21no—
220C2×C8×C43—21no—
221C2×C8×C43—21no—
222C2×C8×C43C2×D411yescharacteristic
223C2×C8×C43C2×D411yescharacteristic
224C4⋊C4×C43—21no—
225C4⋊C4×C43—21no—
226C4⋊C4×C43C2×D411yescharacteristic
227C4⋊C4×C43C2×D411yescharacteristic
228C22⋊C4×C43—21no—
229C42×C43—21no—
230C22⋊Dic43—21no—
231(C2×D43)⋊C4—21no—
232(C2×D43)⋊C4—21no—
233C4⋊Dic43—21no—
234C4⋊Dic43—21no—
235C4⋊Dic43C2×D411yescharacteristic
236C4⋊Dic43C2×D411yescharacteristic
237Dic43⋊C4—21no—
238Dic43⋊C4—21no—
239Dic43⋊C4—41no—
240Dic43⋊C4—41no—
241C4×Dic43—21no—
242C4×Dic43—21no—
243C4×Dic43—21no—
244#10621877—21no—
245#10621877—21no—
246#10621877—21no—
247#10621877—21no—
248#10621877C22×C412yes—
249#10621877C22×C412yes—
250C2×C43⋊C8—21no—
251C2×C43⋊C8—21no—
252C2×C43⋊C8—21no—
253C2×C43⋊C8—21no—
254C2×C43⋊C8—21no—
255C2×C43⋊C8C2×D411yescharacteristic
256C2×C43⋊C8C2×D411yescharacteristic
257#10621872—24no—
258#10621872—24no—
259#10621872—42no—
260C8×D43—24no—
261C8×D43—24no—
262C8×D43—22no—
263C8×D43—22no—
264C8×D43—22no—
265C8×D43—22no—
266C8×D43—42no—
267C23×C43—22no—
268C23×C43—41no—
269C23×C43—41no—
270C23×C43—81no—
271C23×C43—81no—
272C23×C43C2×#4111yescharacteristic
273C22×D43—22no—
274C22×D43—22no—
275C22×D43—22no—
276C22×D43—41no—
277C22×D43—41no—
278C22×D43—44no—
279C22×D43—44no—
280C22×D43—82no—
281C22×D43—82no—
282C22×D43—88no—
283C22×D43—88no—
284C22×D43—82no—
285C22×D43—82no—
286C22×D43—81no—
287C22×D43—81no—
288C22×D43#11712yes—
289C22×D43#12111yescharacteristic
290C22×D43#12111yescharacteristic
291C22×D43#12612yes—
292D4×C43—22no—
293D4×C43—22no—
294D4×C43—41no—
295D4×C43—41no—
296C2×C4×C43—21no—
297C2×C4×C43—21no—
298C2×C4×C43—41no—
299C2×C4×C43—81no—
300C2×C4×C43C23×C411yescharacteristic
301C2×C4×C43C22×D411yescharacteristic
302C2×C4×C43C22×D411yescharacteristic
303C2×C4×C43C2×#4111yescharacteristic
304C2×C4×C43C2×#4111yescharacteristic
305C2×C4×C43C2×#4111yescharacteristic
306C22⋊D43—44no—
307C22⋊D43—44no—
308C2×Dic43—21no—
309C2×Dic43—21no—
310C2×Dic43—41no—
311C2×Dic43—81no—
312C2×Dic43#11712yes—
313C2×Dic43#12111yescharacteristic
314C2×Dic43#12111yescharacteristic
315C2×Dic43#12612yes—
316D172—22no—
317D172—22no—
318D172—41no—
319D172—41no—
320C4×D43—42no—
321C4×D43—42no—
322C4×D43—82no—
323C4×D43—82no—
324C4×D43C4×D412yes—
325C4×D43C4×D412yes—
326C4×D43C4×D412yes—
327C4×D43C4×D412yes—
328C4×D43#12312yes—
329C4×D43#12312yes—
330C4×D43#12412yes—
331C4×D43#12412yes—
332C8×C43—22no—
333C8×C43—22no—
334C8×C43—21no—
335C8×C43—21no—
336C8×C43—41no—
337C43⋊C8—22no—
338C43⋊C8—22no—
339C43⋊C8—21no—
340C43⋊C8—21no—
341C43⋊C8—41no—
342C2×#1931—431nomaximal, Sylow
343C22×C43—21no—
344C22×C43—21no—
345C22×C43—42no—
346C22×C43—82no—
347C22×C43—82no—
348C22×C43—81no—
349C22×C43—81no—
350C22×C43C2×#11711yescharacteristic
351C22×C43C2×#12111yescharacteristic
352C22×C43C2×#12611yescharacteristic
353C2×D43—21no—
354C2×D43—21no—
355C2×D43—24no—
356C2×D43—24no—
357C2×D43—42no—
358C2×D43—88no—
359C2×D43—82no—
360C2×D43—81no—
361C2×D43—81no—
362C2×D43—88no—
363C2×D43—82no—
364C2×D43#38812yes—
365C2×D43#38812yes—
366C2×D43#47112yes—
367C2×D43#47212yes—
368C4×C43—41no—
369C4×C43—41no—
370C4×C43—81no—
371C4×C43C2×C4×D411yescharacteristic
372C4×C43C2×C4×D411yescharacteristic
373C4×C43C2×#12311yescharacteristic
374C4×C43C2×#12411yescharacteristic
375Dic43—41no—
376Dic43—41no—
377Dic43—81no—
378Dic43#38812yes—
379Dic43#38812yes—
380C2×#428—431no—
381C2×#418—431no—
382C22×#102—431no—
383C22×#100—431no—
384C2×#405—431no—
385#1931—431no—
386#1931—431no—
387#1931—431no—
388#1931—431no—
389#1931—431no—
390#1931—431no—
391#1931—431no—
392#1931D4311yescharacteristic, direct product factor
393C2×#343—431no—
394C2×#341—431no—
395C2×C43—21no—
396C2×C43—21no—
397C2×C43—82no—
398C2×C43C2×#38811yescharacteristic
399C2×C43C2×#47111yescharacteristic
400C2×C43C2×#47211yescharacteristic
401D43—22no—
402D43—82no—
403D43#193114yesdirect product factor
404C23×D4—431no—
405C22×M16—431no—
406C22×M16—431no—
407C22×M16—431no—
408C23×C8—431no—
409C2×#117—431no—
410C22×C4⋊C4—431no—
411#428—431no—
412#428—431no—
413#428—431no—
414#428—861no—
415#428—861no—
416#428C2×D4311yescharacteristic, complemented
417C2×#107—861no—
418C2×#106—861no—
419#418—431no—
420#418—431no—
421#418—431no—
422#418—861no—
423#418—861no—
424#418C2×D4311yescharacteristic
425C2×#102—431no—
426C2×#102—431no—
427C2×#102—431no—
428C2×#102—861no—
429C2×#102—861no—
430C2×#102—861no—
431C2×#102—861no—
432C2×#102—861no—
433C2×#102—861no—
434C2×#102C2×D4311yescharacteristic
435C2×#100—431no—
436C2×#100—431no—
437C2×#100—431no—
438C2×#100—438no—
439C2×#100C2×D4311yescharacteristic
440#405—431no—
441#405—431no—
442#405—431no—
443#405—861no—
444#405—861no—
445#405C2×D4311yescharacteristic, complemented
446C2×#97—861no—
447C2×C4×C8—861no—
448#343—431no—
449#343—431no—
450#343—431no—
451#343C2×D4311yescharacteristic, complemented
452#341—431no—
453#341—431no—
454#341—431no—
455#341C2×D4311yescharacteristic, complemented
456C43C2×#193111yescharacteristic, complemented, Sylow
457C25—861no—
458C22×D4—434no—
459C22×D4—431no—
460C22×D4—861no—
461C22×D4—861no—
462C22×D4—861no—
463C22×D4—861no—
464C22×D4—862no—
465C22×D4—862no—
466C22×D4—862no—
467C22×D4—861no—
468C22×D4C22×D4311yescharacteristic
469C23×C4—431no—
470C23×C4—861no—
471C2×M16—431no—
472C2×M16—431no—
473C2×M16—434no—
474C2×M16—434no—
475C2×M16—431no—
476C2×M16—861no—
477C2×M16—861no—
478C2×M16—861no—
479C2×M16—862no—
480C2×M16—862no—
481C2×M16—862no—
482C2×M16—862no—
483C2×M16C22×D4311yescharacteristic
484C2×M16C22×D4311yescharacteristic
485C2×M16C22×D4311yescharacteristic
486C22×C8—431no—
487C22×C8—431no—
488C22×C8—431no—
489C22×C8—431no—
490C22×C8—431no—
491C22×C8—862no—
492C22×C8—862no—
493C22×C8—861no—
494C22×C8—861no—
495C22×C8—861no—
496C22×C8C22×D4311yescharacteristic
497#117—431no—
498#117—431no—
499#117—431no—
500#117—861no—
501#117—861no—
502#117C22×D4311yescharacteristic
503C2×C4⋊C4—431no—
504C2×C4⋊C4—431no—
505C2×C4⋊C4—431no—
506C2×C4⋊C4—861no—
507C2×C4⋊C4—861no—
508C2×C4⋊C4—861no—
509C2×C4⋊C4—861no—
510C2×C4⋊C4—861no—
511C2×C4⋊C4C22×D4311yescharacteristic
512C2×C22⋊C4—861no—
513C2×C42—861no—
514#107—21no—
515#107—861no—
516#107—861no—
517#107—861no—
518#106—21no—
519#106—861no—
520#106—861no—
521#106—861no—
522#102—21no—
523#102—21no—
524#102—21no—
525#102—21no—
526#102—861no—
527#102—861no—
528#102—861no—
529#102—861no—
530#102—861no—
531#102—861no—
532#102—861no—
533#102—861no—
534#102—861no—
535#102—861no—
536#102—861no—
537#102—861no—
538#100—434no—
539#100—434no—
540#100—434no—
541#100C4×D4314yescomplemented
542#97—21no—
543#97—861no—
544#97—861no—
545#97—861no—
546C4×C8—21no—
547C4×C8—861no—
548C4×C8—861no—
549C4×C8—861no—
550C24—21no—
551C24—431no—
552C24—864no—
553C24—861no—
554C24—3442no—
555C24—3442no—
556C24—1721no—
557C24—1721no—
558C24—1722no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—432no—
565C2×D4—864no—
566C2×D4—864no—
567C2×D4—864no—
568C2×D4—864no—
569C2×D4—864no—
570C2×D4—861no—
571C2×D4—861no—
572C2×D4—861no—
573C2×D4—861no—
574C2×D4—861no—
575C2×D4—1722no—
576C2×D4—1722no—
577C2×D4—1722no—
578C2×D4—1722no—
579C2×D4—1721no—
580C2×D4—1721no—
581C2×D4—1722no—
582C2×D4C2×C4×D4312yes—
583C22×C4—21no—
584C22×C4—431no—
585C22×C4—432no—
586C22×C4—431no—
587C22×C4—431no—
588C22×C4—431no—
589C22×C4—431no—
590C22×C4—432no—
591C22×C4—432no—
592C22×C4—432no—
593C22×C4—861no—
594C22×C4—861no—
595C22×C4—861no—
596C22×C4—3442no—
597C22×C4—1721no—
598C22×C4—1721no—
599C22×C4C23×D4311yescharacteristic
600M16—21no—
601M16—21no—
602M16—21no—
603M16—21no—
604M16—432no—
605M16—432no—
606M16—864no—
607M16—864no—
608M16—861no—
609M16—861no—
610M16—861no—
611M16—861no—
612M16—1722no—
613M16C2×C4×D4312yes—
614M16C2×C4×D4312yes—
615C2×C8—21no—
616C2×C8—21no—
617C2×C8—21no—
618C2×C8—21no—
619C2×C8—21no—
620C2×C8—431no—
621C2×C8—431no—
622C2×C8—862no—
623C2×C8—862no—
624C2×C8—862no—
625C2×C8—862no—
626C2×C8—864no—
627C2×C8—864no—
628C2×C8—861no—
629C2×C8—861no—
630C2×C8—861no—
631C2×C8—861no—
632C2×C8—861no—
633C2×C8—1722no—
634C2×C8D4×D4311yescharacteristic
635C2×C8D4×D4311yescharacteristic
636C4⋊C4—21no—
637C4⋊C4—21no—
638C4⋊C4—431no—
639C4⋊C4—431no—
640C4⋊C4—861no—
641C4⋊C4—861no—
642C4⋊C4—861no—
643C4⋊C4—861no—
644C4⋊C4—1721no—
645C4⋊C4—1721no—
646C4⋊C4D4×D4311yescharacteristic
647C4⋊C4D4×D4311yescharacteristic
648C22⋊C4—21no—
649C22⋊C4—861no—
650C22⋊C4—861no—
651C22⋊C4—861no—
652C42—21no—
653C42—861no—
654C42—861no—
655C42—861no—
656C23—22no—
657C23—41no—
658C23—41no—
659C23—81no—
660C23—81no—
661C23—431no—
662C23—432no—
663C23—431no—
664C23—432no—
665C23—862no—
666C23—862no—
667C23—862no—
668C23—3441no—
669C23—3441no—
670C23—3442no—
671C23—3442no—
672C23—3448no—
673C23—3448no—
674C23—3442no—
675C23—3442no—
676C23—1724no—
677C23—1724no—
678C23—1721no—
679C23—1721no—
680C23#41×D4311yescharacteristic
681D4—22no—
682D4—22no—
683D4—41no—
684D4—41no—
685D4—862no—
686D4—862no—
687D4—1724no—
688D4—1724no—
689D4—1721no—
690D4—1721no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—41no—
694C2×C4—81no—
695C2×C4—432no—
696C2×C4—431no—
697C2×C4—431no—
698C2×C4—432no—
699C2×C4—432no—
700C2×C4—432no—
701C2×C4—432no—
702C2×C4—432no—
703C2×C4—432no—
704C2×C4—432no—
705C2×C4—432no—
706C2×C4—432no—
707C2×C4—861no—
708C2×C4—861no—
709C2×C4—3442no—
710C2×C4—3442no—
711C2×C4—3441no—
712C2×C4—1722no—
713C2×C4—1722no—
714C2×C4—1721no—
715C2×C4C22×C4×D4311yescharacteristic
716C2×C4C2×D4×D4311yescharacteristic
717C2×C4C2×D4×D4311yescharacteristic
718C2×C4#41×D4311yescharacteristic
719C2×C4#41×D4311yescharacteristic
720C2×C4#41×D4311yescharacteristic
721C8—22no—
722C8—22no—
723C8—21no—
724C8—21no—
725C8—41no—
726C8—862no—
727C8—862no—
728C8—861no—
729C8—861no—
730C8—1721no—
731C22—21no—
732C22—21no—
733C22—42no—
734C22—82no—
735C22—82no—
736C22—81no—
737C22—81no—
738C22—432no—
739C22—432no—
740C22—432no—
741C22—432no—
742C22—864no—
743C22—864no—
744C22—861no—
745C22—861no—
746C22—3442no—
747C22—3442no—
748C22—3448no—
749C22—3448no—
750C22—3441no—
751C22—3441no—
752C22—1722no—
753C22#117×D4311yescharacteristic
754C22#121×D4311yescharacteristic
755C22#126×D4311yescharacteristic
756C4—41no—
757C4—41no—
758C4—81no—
759C4—432no—
760C4—432no—
761C4—3441no—
762C4—1721no—
763C4—1721no—
764C4C4×D4×D4311yescharacteristic
765C4C4×D4×D4311yescharacteristic
766C4#123×D4311yescharacteristic
767C4#124×D4311yescharacteristic
768C2—21no—
769C2—21no—
770C2—82no—
771C2—434no—
772C2—862no—
773C2—3442no—
774C2#388×D4311yescharacteristic
775C2#471×D4311yescharacteristic
776C2#472×D4311yescharacteristic
subgroupG/H
centerC22#121×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1931C2
socleC22×C43C2×#121
prime radicalC22×D4×D43C22
cosocleC22×C4×C43C24
hypercenter#1931D43
hypocenterC43C2×#1931
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1931

Complements

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

NH ≅ G/Ntype
1. #428×D43C2semidirect
5. #405×D43C2semidirect
6. #19135260C2semidirect
7. #19135259C2semidirect
8. #19135258C2semidirect
9. #19135257C2semidirect
10. #19135256C2semidirect
11. #19135255C2semidirect
12. #19135254C2semidirect
13. #343×D43C2semidirect
14. #341×D43C2semidirect
15. C43×#1931C2semidirect
23. #14582942C22semidirect
24. #14582941C22semidirect
26. #14582939C22semidirect
47. #100×D43C4semidirect
48. #14582857C22semidirect
50. #14582855C22semidirect
51. #14582854C22semidirect
55. #14582668C22semidirect
56. #14582667C22semidirect
57. #14582667C22semidirect
58. #14582664C22semidirect
59. #14582663C22semidirect
60. #14582663C22semidirect
61. C43×#428C22semidirect
65. C43×#405C22semidirect
66. C43×#343C22semidirect
67. C43×#341C22semidirect
136. #13063242C2×C4semidirect
137. #13063241C2×C4semidirect
138. #13063241C2×C4semidirect
158. #100×C43C2×C4semidirect
392. #1931D43direct (N × H)
403. D43#1931direct (N × H)
416. #428C2×D43semidirect
445. #405C2×D43semidirect
451. #343C2×D43semidirect
455. #341C2×D43semidirect
456. C43C2×#1931semidirect
541. #100C4×D43semidirect

Maximal subgroups

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

subgroupindex
#428×D432
#418×D432
C2×#102×D432
C2×#100×D432
#405×D432
#191352602
#191352592
#191352582
#191352572
#191352562
#191352552
#191352542
#343×D432
#341×D432
C43×#19312
C2×#193143