Finite Group Databasebeta

← C43×#8465 #24928482

Subgroups — C43×#8465 #24928482

Order 11008.

1088 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3488C211yesmaximal, characteristic
2C43×#1964C211yesmaximal, characteristic, complemented
3C43×#1789C211yesmaximal, characteristic, complemented
4C43×#1788C211yesmaximal, characteristic, complemented
5C43×#1513C211yesmaximal, characteristic, complemented
6C43×#1501C211yesmaximal, characteristic, complemented
7C43×#1471C211yesmaximal, characteristic, complemented
8C2×H(5,𝔽2)×C43C411yescharacteristic, complemented
9C22×#41×C43C2211yescharacteristic
10C43×#550—21no—
11C43×#548—21no—
12C43×#546—21no—
13C43×#546—22no—
14D42×C43—22no—
15D42×C43—21no—
16C43×#537—21no—
17C43×#537C411yescharacteristic, complemented
18C43×#535—21no—
19C43×#535C411yescharacteristic, complemented
20C43×#525—21no—
21C43×#525C2211yescharacteristic
22C2×#121×C43—21no—
23C2×#121×C43C2211yescharacteristic
24C43×#520C411yescharacteristic, complemented
25C2×#104×C43—21no—
26C2×#104×C43—21no—
27C2×#103×C43—21no—
28C2×#102×C43—21no—
29C2×#99×C43—22no—
30C43×#407C2211yescharacteristic, complemented
31C2×C22⋊C8×C43C2211yescharacteristic, complemented
32C43×#380C2211yescharacteristic, complemented
33C4×C22⋊C4×C43C2211yescharacteristic, complemented
34C43×#328—21no—
35C43×#328—21no—
36C43×#327—21no—
37C43×#327—21no—
38C43×#323—22no—
39H(5,𝔽2)×C43—42no—
40H(5,𝔽2)×C43—42no—
41C2×#41×C43—21no—
42C2×#41×C43—21no—
43C2×#41×C43—21no—
44C2×#41×C43—21no—
45C2×#41×C43—42no—
46C2×#41×C43—42no—
47C2×#41×C43C2×C411yescharacteristic
48C2×#41×C43C2×C411yescharacteristic
49C2×#41×C43C2×C411yescharacteristic
50C2×#41×C43D411yescharacteristic
51C2×#41×C43D411yescharacteristic
52C22×Q8×C43D411yescharacteristic
53C22×D4×C43—22no—
54C22×D4×C43—21no—
55C22×D4×C43—22no—
56C22×D4×C43—21no—
57C22×D4×C43—21no—
58C22×D4×C43C2×C411yescharacteristic
59C22×D4×C43D412yes—
60C22×D4×C43D411yescharacteristic
61C23×C4×C43—21no—
62C23×C4×C43C2311yescharacteristic
63C2×M16×C43—21no—
64C22×C8×C43—21no—
65#127×C43—22no—
66#127×C43—21no—
67#124×C43—22no—
68#124×C43—21no—
69#123×C43—22no—
70#123×C43—21no—
71C22⋊Q8×C43—22no—
72C22⋊Q8×C43—21no—
73C22⋊Q8×C43—21no—
74C22⋊Q8×C43D411yescharacteristic
75C22⋊Q8×C43D411yescharacteristic
76#121×C43—22no—
77#121×C43—22no—
78#121×C43—22no—
79#121×C43—22no—
80#121×C43—22no—
81#121×C43—21no—
82#121×C43—21no—
83#121×C43—22no—
84#121×C43—21no—
85#121×C43—21no—
86#121×C43—21no—
87#121×C43—21no—
88#121×C43—21no—
89#121×C43—21no—
90#121×C43D411yescharacteristic
91#121×C43D411yescharacteristic
92#120×C43—22no—
93#120×C43—22no—
94#120×C43—22no—
95#120×C43—22no—
96#120×C43—21no—
97C4×Q8×C43—21no—
98C4×D4×C43—22no—
99C4×D4×C43—22no—
100C4×D4×C43—21no—
101C4×D4×C43—22no—
102C4×D4×C43—21no—
103C4×D4×C43—21no—
104#117×C43—21no—
105#117×C43C2×C411yescharacteristic
106C2×C4⋊C4×C43—21no—
107C2×C4⋊C4×C43—21no—
108C2×C4⋊C4×C43C2×C411yescharacteristic
109C2×C22⋊C4×C43—22no—
110C2×C22⋊C4×C43—21no—
111C2×C22⋊C4×C43—21no—
112C2×C22⋊C4×C43D412yes—
113C2×C42×C43—21no—
114#104×C43—42no—
115#104×C43—42no—
116#103×C43—42no—
117#102×C43—42no—
118#99×C43—44no—
119C22⋊C8×C43—21no—
120C22⋊C8×C43—21no—
121C22⋊C8×C43—21no—
122C22⋊C8×C43—21no—
123#95×C43—21no—
124#95×C43—21no—
125C24×C43—22no—
126C24×C43—21no—
127C24×C43C22⋊C412yes—
128C24×C43C2×D411yescharacteristic
129#41×C43—22no—
130#41×C43—22no—
131#41×C43—22no—
132#41×C43—22no—
133#41×C43—41no—
134#41×C43—41no—
135#41×C43—41no—
136#41×C43—41no—
137#41×C43—44no—
138#41×C43—44no—
139#41×C43—41no—
140#41×C43—41no—
141#41×C43—44no—
142#41×C43—42no—
143#41×C43—42no—
144C2×Q8×C43—21no—
145C2×Q8×C43—22no—
146C2×Q8×C43—41no—
147C2×Q8×C43C22⋊C411yescharacteristic
148C2×Q8×C43C22⋊C411yescharacteristic
149C2×Q8×C43C22⋊C411yescharacteristic
150C2×D4×C43—22no—
151C2×D4×C43—22no—
152C2×D4×C43—22no—
153C2×D4×C43—22no—
154C2×D4×C43—22no—
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—21no—
161C2×D4×C43—22no—
162C2×D4×C43—21no—
163C2×D4×C43—21no—
164C2×D4×C43—21no—
165C2×D4×C43—21no—
166C2×D4×C43—22no—
167C2×D4×C43—22no—
168C2×D4×C43—42no—
169C2×D4×C43—42no—
170C2×D4×C43—41no—
171C2×D4×C43—41no—
172C2×D4×C43—41no—
173C2×D4×C43—44no—
174C2×D4×C43—44no—
175C2×D4×C43—42no—
176C2×D4×C43—48no—
177C2×D4×C43—42no—
178C2×D4×C43—82no—
179C2×D4×C43—82no—
180C2×D4×C43C22⋊C411yescharacteristic
181C2×D4×C43C22⋊C411yescharacteristic
182C2×D4×C43C22⋊C411yescharacteristic
183C22×C4×C43—21no—
184C22×C4×C43—22no—
185C22×C4×C43—22no—
186C22×C4×C43—21no—
187C22×C4×C43—21no—
188C22×C4×C43—21no—
189C22×C4×C43—21no—
190C22×C4×C43—21no—
191C22×C4×C43—41no—
192C22×C4×C43—41no—
193C22×C4×C43—44no—
194C22×C4×C43—41no—
195C22×C4×C43—41no—
196C22×C4×C43C22⋊C412yes—
197C22×C4×C43C22×C411yescharacteristic
198C22×C4×C43C2×D411yescharacteristic
199C22×C4×C43C2×D411yescharacteristic
200C22×C4×C43C2×D411yescharacteristic
201C22×C4×C43C2×D411yescharacteristic
202C22×C4×C43C2×D411yescharacteristic
203M16×C43—41no—
204M16×C43—41no—
205C2×C8×C43—41no—
206C2×C8×C43—41no—
207C2×C8×C43—41no—
208C2×C8×C43—41no—
209C4⋊C4×C43—22no—
210C4⋊C4×C43—22no—
211C4⋊C4×C43—21no—
212C4⋊C4×C43—21no—
213C4⋊C4×C43—21no—
214C4⋊C4×C43—21no—
215C4⋊C4×C43—41no—
216C4⋊C4×C43—41no—
217C4⋊C4×C43C22⋊C411yescharacteristic
218C4⋊C4×C43C22⋊C411yescharacteristic
219C22⋊C4×C43—22no—
220C22⋊C4×C43—22no—
221C22⋊C4×C43—22no—
222C22⋊C4×C43—22no—
223C22⋊C4×C43—22no—
224C22⋊C4×C43—21no—
225C22⋊C4×C43—22no—
226C22⋊C4×C43—22no—
227C22⋊C4×C43—21no—
228C22⋊C4×C43—22no—
229C22⋊C4×C43—21no—
230C22⋊C4×C43—21no—
231C22⋊C4×C43—21no—
232C22⋊C4×C43—41no—
233C22⋊C4×C43—42no—
234C42×C43—22no—
235C42×C43—21no—
236C42×C43—41no—
237C42×C43—41no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—22no—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—42no—
247C23×C43—44no—
248C23×C43—42no—
249C23×C43—42no—
250C23×C43—42no—
251C23×C43—41no—
252C23×C43—41no—
253C23×C43—81no—
254C23×C43—82no—
255C23×C43—82no—
256C23×C43C2×C22⋊C411yescharacteristic
257C23×C43#12011yescharacteristic
258C23×C43#12011yescharacteristic
259Q8×C43—21no—
260Q8×C43—21no—
261Q8×C43—21no—
262Q8×C43—42no—
263Q8×C43—41no—
264Q8×C43#9912yescomplemented
265D4×C43—24no—
266D4×C43—21no—
267D4×C43—21no—
268D4×C43—21no—
269D4×C43—42no—
270D4×C43—42no—
271D4×C43—41no—
272D4×C43—42no—
273D4×C43—44no—
274D4×C43—42no—
275D4×C43—44no—
276D4×C43—42no—
277D4×C43—42no—
278D4×C43—42no—
279D4×C43—41no—
280D4×C43—42no—
281D4×C43—41no—
282D4×C43—41no—
283D4×C43—41no—
284D4×C43—81no—
285D4×C43—82no—
286D4×C43—82no—
287D4×C43—82no—
288D4×C43—82no—
289D4×C43#9912yescomplemented
290C2×C4×C43—24no—
291C2×C4×C43—21no—
292C2×C4×C43—21no—
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—22no—
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—42no—
307C2×C4×C43—42no—
308C2×C4×C43—42no—
309C2×C4×C43—42no—
310C2×C4×C43—44no—
311C2×C4×C43—41no—
312C2×C4×C43—41no—
313C2×C4×C43—42no—
314C2×C4×C43—42no—
315C2×C4×C43—82no—
316C2×C4×C43—81no—
317C2×C4×C43—81no—
318C2×C4×C43—81no—
319C2×C4×C43—81no—
320C2×C4×C43—81no—
321C2×C4×C43C2×C22⋊C411yescharacteristic
322C2×C4×C43C2×C22⋊C411yescharacteristic
323C2×C4×C43#12011yescharacteristic
324C2×C4×C43#12011yescharacteristic
325C8×C43—81no—
326C8×C43—81no—
327#8465C4311yesmaximal, characteristic, direct product factor, Sylow
328C22×C43—21no—
329C22×C43—21no—
330C22×C43—21no—
331C22×C43—21no—
332C22×C43—21no—
333C22×C43—21no—
334C22×C43—22no—
335C22×C43—21no—
336C22×C43—21no—
337C22×C43—41no—
338C22×C43—41no—
339C22×C43—41no—
340C22×C43—42no—
341C22×C43—41no—
342C22×C43—42no—
343C22×C43—41no—
344C22×C43—41no—
345C22×C43—41no—
346C22×C43—42no—
347C22×C43—41no—
348C22×C43—81no—
349C22×C43—81no—
350C22×C43—82no—
351C22×C43—82no—
352C22×C43—162no—
353C22×C43—164no—
354C22×C43#37911yescharacteristic
355C22×C43#45311yescharacteristic
356C22×C43#45511yescharacteristic
357C4×C43—21no—
358C4×C43—21no—
359C4×C43—21no—
360C4×C43—22no—
361C4×C43—42no—
362C4×C43—41no—
363C4×C43—41no—
364C4×C43—41no—
365C4×C43—41no—
366C4×C43—82no—
367C4×C43—161no—
368C4×C43C2×#9911yescharacteristic
369C4×C43C2×#9911yescharacteristic
370#3488C2×C4311yescharacteristic
371#1964C2×C4311yescharacteristic, complemented
372#1789C2×C4311yescharacteristic, complemented
373#1788C2×C4311yescharacteristic, complemented
374#1513C2×C4311yescharacteristic, complemented
375#1501C2×C4311yescharacteristic, complemented
376#1471C2×C4311yescharacteristic, complemented
377C2×C43—21no—
378C2×C43—21no—
379C2×C43—41no—
380C2×C43—41no—
381C2×C43—42no—
382C2×C43—81no—
383C2×C43—82no—
384C2×C43—81no—
385C2×C43#178111yescharacteristic
386C2×C43#179211yescharacteristic
387C2×C43#179411yescharacteristic
388C2×H(5,𝔽2)C4×C4311yescharacteristic, complemented
389C22×#41C22×C4311yescharacteristic
390#550—21no—
391#548—21no—
392#546—21no—
393#546—22no—
394D42—22no—
395D42—21no—
396#537—21no—
397#537C4×C4311yescharacteristic, complemented
398#535—21no—
399#535C4×C4311yescharacteristic, complemented
400#525—21no—
401#525C22×C4311yescharacteristic
402C2×#121—21no—
403C2×#121C22×C4311yescharacteristic
404#520C4×C4311yescharacteristic, complemented
405C2×#104—21no—
406C2×#104—21no—
407C2×#103—21no—
408C2×#102—21no—
409C2×#99—22no—
410#407C22×C4311yescharacteristic, complemented
411C2×C22⋊C8C22×C4311yescharacteristic, complemented
412#380C22×C4311yescharacteristic, complemented
413C4×C22⋊C4C22×C4311yescharacteristic, complemented
414#328—21no—
415#328—21no—
416#327—21no—
417#327—21no—
418#323—22no—
419C43#846511yescharacteristic, direct product factor, Sylow
420H(5,𝔽2)—42no—
421H(5,𝔽2)—42no—
422C2×#41—21no—
423C2×#41—21no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—42no—
427C2×#41—42no—
428C2×#41C2×C4×C4311yescharacteristic
429C2×#41C2×C4×C4311yescharacteristic
430C2×#41C2×C4×C4311yescharacteristic
431C2×#41D4×C4311yescharacteristic
432C2×#41D4×C4311yescharacteristic
433C22×Q8D4×C4311yescharacteristic
434C22×D4—22no—
435C22×D4—21no—
436C22×D4—22no—
437C22×D4—21no—
438C22×D4—21no—
439C22×D4C2×C4×C4311yescharacteristic
440C22×D4D4×C4312yes—
441C22×D4D4×C4311yescharacteristic
442C23×C4—21no—
443C23×C4C23×C4311yescharacteristic
444C2×M16—21no—
445C22×C8—21no—
446#127—22no—
447#127—21no—
448#124—22no—
449#124—21no—
450#123—22no—
451#123—21no—
452C22⋊Q8—22no—
453C22⋊Q8—21no—
454C22⋊Q8—21no—
455C22⋊Q8D4×C4311yescharacteristic
456C22⋊Q8D4×C4311yescharacteristic
457#121—22no—
458#121—22no—
459#121—22no—
460#121—22no—
461#121—22no—
462#121—21no—
463#121—21no—
464#121—22no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—21no—
471#121D4×C4311yescharacteristic
472#121D4×C4311yescharacteristic
473#120—22no—
474#120—22no—
475#120—22no—
476#120—22no—
477#120—21no—
478C4×Q8—21no—
479C4×D4—22no—
480C4×D4—22no—
481C4×D4—21no—
482C4×D4—22no—
483C4×D4—21no—
484C4×D4—21no—
485#117—21no—
486#117C2×C4×C4311yescharacteristic
487C2×C4⋊C4—21no—
488C2×C4⋊C4—21no—
489C2×C4⋊C4C2×C4×C4311yescharacteristic
490C2×C22⋊C4—22no—
491C2×C22⋊C4—21no—
492C2×C22⋊C4—21no—
493C2×C22⋊C4D4×C4312yes—
494C2×C42—21no—
495#104—42no—
496#104—42no—
497#103—42no—
498#102—42no—
499#99—44no—
500C22⋊C8—21no—
501C22⋊C8—21no—
502C22⋊C8—21no—
503C22⋊C8—21no—
504#95—21no—
505#95—21no—
506C24—22no—
507C24—21no—
508C24C22⋊C4×C4312yes—
509C24C2×D4×C4311yescharacteristic
510#41—22no—
511#41—22no—
512#41—22no—
513#41—22no—
514#41—41no—
515#41—41no—
516#41—41no—
517#41—41no—
518#41—44no—
519#41—44no—
520#41—41no—
521#41—41no—
522#41—44no—
523#41—42no—
524#41—42no—
525C2×Q8—21no—
526C2×Q8—22no—
527C2×Q8—41no—
528C2×Q8C22⋊C4×C4311yescharacteristic
529C2×Q8C22⋊C4×C4311yescharacteristic
530C2×Q8C22⋊C4×C4311yescharacteristic
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—21no—
545C2×D4—22no—
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—41no—
550C2×D4—44no—
551C2×D4—41no—
552C2×D4—41no—
553C2×D4—44no—
554C2×D4—48no—
555C2×D4—42no—
556C2×D4—42no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—82no—
560C2×D4—82no—
561C2×D4C22⋊C4×C4311yescharacteristic
562C2×D4C22⋊C4×C4311yescharacteristic
563C2×D4C22⋊C4×C4311yescharacteristic
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—22no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—41no—
573C22×C4—41no—
574C22×C4—44no—
575C22×C4—41no—
576C22×C4—41no—
577C22×C4C22⋊C4×C4312yes—
578C22×C4C22×C4×C4311yescharacteristic
579C22×C4C2×D4×C4311yescharacteristic
580C22×C4C2×D4×C4311yescharacteristic
581C22×C4C2×D4×C4311yescharacteristic
582C22×C4C2×D4×C4311yescharacteristic
583C22×C4C2×D4×C4311yescharacteristic
584M16—41no—
585M16—41no—
586C2×C8—41no—
587C2×C8—41no—
588C2×C8—41no—
589C2×C8—41no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—41no—
597C4⋊C4—41no—
598C4⋊C4C22⋊C4×C4311yescharacteristic
599C4⋊C4C22⋊C4×C4311yescharacteristic
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—22no—
613C22⋊C4—41no—
614C22⋊C4—42no—
615C42—22no—
616C42—21no—
617C42—41no—
618C42—41no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—22no—
623C23—21no—
624C23—21no—
625C23—41no—
626C23—41no—
627C23—42no—
628C23—44no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—41no—
633C23—41no—
634C23—81no—
635C23—82no—
636C23—82no—
637C23C2×C22⋊C4×C4311yescharacteristic
638C23#120×C4311yescharacteristic
639C23#120×C4311yescharacteristic
640Q8—21no—
641Q8—21no—
642Q8—21no—
643Q8—42no—
644Q8—41no—
645Q8#99×C4312yescomplemented
646D4—24no—
647D4—21no—
648D4—21no—
649D4—21no—
650D4—42no—
651D4—42no—
652D4—41no—
653D4—42no—
654D4—44no—
655D4—42no—
656D4—42no—
657D4—44no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—42no—
662D4—41no—
663D4—41no—
664D4—41no—
665D4—82no—
666D4—81no—
667D4—82no—
668D4—82no—
669D4—82no—
670D4#99×C4312yescomplemented
671C2×C4—24no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—82no—
697C2×C4—81no—
698C2×C4—81no—
699C2×C4—81no—
700C2×C4—81no—
701C2×C4—81no—
702C2×C4C2×C22⋊C4×C4311yescharacteristic
703C2×C4C2×C22⋊C4×C4311yescharacteristic
704C2×C4#120×C4311yescharacteristic
705C2×C4#120×C4311yescharacteristic
706C8—81no—
707C8—81no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—22no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—42no—
721C22—41no—
722C22—42no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—42no—
727C22—41no—
728C22—81no—
729C22—81no—
730C22—82no—
731C22—82no—
732C22—162no—
733C22—164no—
734C22C43×#37911yescharacteristic
735C22C43×#45311yescharacteristic
736C22C43×#45511yescharacteristic
737C4—21no—
738C4—21no—
739C4—21no—
740C4—22no—
741C4—41no—
742C4—41no—
743C4—42no—
744C4—41no—
745C4—41no—
746C4—82no—
747C4—161no—
748C4C2×#99×C4311yescharacteristic
749C4C2×#99×C4311yescharacteristic
750C2—21no—
751C2—21no—
752C2—41no—
753C2—41no—
754C2—42no—
755C2—81no—
756C2—81no—
757C2—82no—
758C2C43×#178111yescharacteristic
759C2C43×#179211yescharacteristic
760C2C43×#179411yescharacteristic
subgroupG/H
center, socleC22×C43#379
commutatorC22×C4C22×C4×C43
Frattini, cosocleC23×C4C23×C43
prime radicalC43×#3488C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C43 ◁ C23×C4×C43 ◁ G

Complements

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

NH ≅ G/Ntype
2. C43×#1964C2semidirect
3. C43×#1789C2semidirect
4. C43×#1788C2semidirect
5. C43×#1513C2semidirect
6. C43×#1501C2semidirect
7. C43×#1471C2semidirect
8. C2×H(5,𝔽2)×C43C4semidirect
17. C43×#537C4semidirect
19. C43×#535C4semidirect
24. C43×#520C4semidirect
30. C43×#407C22semidirect
31. C2×C22⋊C8×C43C22semidirect
32. C43×#380C22semidirect
33. C4×C22⋊C4×C43C22semidirect
264. Q8×C43#99semidirect
289. D4×C43#99semidirect
327. #8465C43direct (N × H)
371. #1964C2×C43semidirect
372. #1789C2×C43semidirect
373. #1788C2×C43semidirect
374. #1513C2×C43semidirect
375. #1501C2×C43semidirect
376. #1471C2×C43semidirect
388. C2×H(5,𝔽2)C4×C43semidirect
397. #537C4×C43semidirect
399. #535C4×C43semidirect
404. #520C4×C43semidirect
410. #407C22×C43semidirect
411. C2×C22⋊C8C22×C43semidirect
412. #380C22×C43semidirect
413. C4×C22⋊C4C22×C43semidirect
419. C43#8465direct (N × H)
645. Q8#99×C43semidirect
670. D4#99×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#34882
C43×#19642
C43×#17892
C43×#17882
C43×#15132
C43×#15012
C43×#14712
#846543