Finite Group Databasebeta

← C43×#29413 #24949430

Subgroups — C43×#29413 #24949430

Order 11008.

868 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×C22⋊Q8×C43C211yesmaximal, characteristic, complemented
2C4×#121×C43C211yesmaximal, characteristic
3C43×#2075C211yesmaximal, characteristic, complemented
4C43×#2035C211yesmaximal, characteristic, complemented
5C43×#2033C211yesmaximal, characteristic
6C43×#2000C211yesmaximal, characteristic
7C43×#1928C211yesmaximal, characteristic, complemented
8C43×#1926C211yesmaximal, characteristic, complemented
9C43×#1921C211yesmaximal, characteristic, complemented
10C43×#1919C211yesmaximal, characteristic, complemented
11C43×#1880C211yesmaximal, characteristic, complemented
12C43×#1877C211yesmaximal, characteristic, complemented
13C43×#1863C211yesmaximal, characteristic, complemented
14C43×#1862C211yesmaximal, characteristic, complemented
15C43×#1817C211yesmaximal, characteristic, complemented
16C22×SD16×C43C2211yescharacteristic
17C2×C22⋊Q8×C43C2211yescharacteristic
18C2×#121×C43C2211yescharacteristic
19C2×C4×Q8×C43C2211yescharacteristic
20C2×C4×D4×C43—21no—
21C2×C4×D4×C43C2211yescharacteristic
22C22×C42×C43C2211yescharacteristic
23C2×#107×C43C2211yescharacteristic
24C2×#107×C43C2211yescharacteristic
25C2×#106×C43C2211yescharacteristic
26C2×#103×C43C2211yescharacteristic
27C2×#103×C43C2211yescharacteristic
28C2×#103×C43C2211yescharacteristic
29C2×#102×C43C2211yescharacteristic
30C2×#102×C43C2211yescharacteristic
31C2×#102×C43C2211yescharacteristic
32C2×C22⋊C8×C43C2211yescharacteristic
33C2×C22⋊C8×C43C2211yescharacteristic
34C43×#391C2211yescharacteristic
35C43×#390C2211yescharacteristic
36C43×#389C2211yescharacteristic
37C43×#389C2211yescharacteristic
38C43×#388—21no—
39C43×#387—21no—
40C43×#386—21no—
41C43×#385—21no—
42C43×#380C2211yescharacteristic
43C43×#380C2211yescharacteristic
44C4×C4⋊C4×C43—21no—
45C4×C4⋊C4×C43C2211yescharacteristic
46C4×C4⋊C4×C43C2211yescharacteristic
47C4×C22⋊C4×C43—21no—
48C4×C22⋊C4×C43—21no—
49C43×#340C2211yescharacteristic
50C43×#340C2211yescharacteristic
51C43×#340C2211yescharacteristic
52C43×#340C2211yescharacteristic
53C43×#340C2211yescharacteristic
54C43×#340C2211yescharacteristic
55C43×#336C2211yescharacteristic
56C43×#336C2211yescharacteristic
57C43×#336C2211yescharacteristic
58C43×#336C2211yescharacteristic
59C22×Q8×C43C2311yescharacteristic
60C22×D4×C43—21no—
61C22×D4×C43C2311yescharacteristic
62C23×C4×C43—21no—
63C23×C4×C43D411yescharacteristic
64C23×C4×C43D411yescharacteristic
65C23×C4×C43C2311yescharacteristic
66C2×SD16×C43—22no—
67C2×SD16×C43—22no—
68C2×SD16×C43—41no—
69C22×C8×C43C2311yescharacteristic
70C22×C8×C43C2311yescharacteristic
71C22×C8×C43C2311yescharacteristic
72C22×C8×C43C2311yescharacteristic
73C22⋊Q8×C43—22no—
74C22⋊Q8×C43—22no—
75#121×C43—22no—
76#121×C43—22no—
77C4×Q8×C43—41no—
78C4×Q8×C43—41no—
79C4×D4×C43—41no—
80C4×D4×C43—41no—
81C4×D4×C43—44no—
82C2×C4⋊C4×C43—21no—
83C2×C4⋊C4×C43—21no—
84C2×C4⋊C4×C43—21no—
85C2×C4⋊C4×C43—21no—
86C2×C4⋊C4×C43C2311yescharacteristic
87C2×C4⋊C4×C43C2311yescharacteristic
88C2×C4⋊C4×C43C2311yescharacteristic
89C2×C4⋊C4×C43C2311yescharacteristic
90C2×C4⋊C4×C43C2311yescharacteristic
91C2×C4⋊C4×C43C2311yescharacteristic
92C2×C22⋊C4×C43—21no—
93C2×C22⋊C4×C43—21no—
94C2×C22⋊C4×C43—21no—
95C2×C22⋊C4×C43—21no—
96C2×C22⋊C4×C43—21no—
97C2×C22⋊C4×C43—21no—
98C2×C22⋊C4×C43—21no—
99C2×C42×C43—21no—
100C2×C42×C43—21no—
101C2×C42×C43—21no—
102C2×C42×C43—41no—
103C2×C42×C43—41no—
104C2×C42×C43D411yescharacteristic
105C2×C42×C43D411yescharacteristic
106C2×C42×C43C2311yescharacteristic
107C2×C42×C43C2311yescharacteristic
108#107×C43—22no—
109#107×C43—41no—
110#106×C43—22no—
111#103×C43—22no—
112#103×C43—22no—
113#103×C43—41no—
114#102×C43—22no—
115#102×C43—22no—
116#102×C43—41no—
117C22⋊C8×C43—41no—
118C22⋊C8×C43—41no—
119#95×C43—21no—
120#95×C43—21no—
121#95×C43—21no—
122#95×C43—21no—
123#95×C43—21no—
124#95×C43—21no—
125#95×C43—21no—
126#95×C43—21no—
127C24×C43—21no—
128C24×C43C2×D411yescharacteristic
129C2×Q8×C43—21no—
130C2×Q8×C43—21no—
131C2×Q8×C43—21no—
132C2×Q8×C43—21no—
133C2×Q8×C43—21no—
134C2×Q8×C43#4112yes—
135C2×D4×C43—24no—
136C2×D4×C43—21no—
137C2×D4×C43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—42no—
142C2×D4×C43—42no—
143C2×D4×C43#4112yes—
144C22×C4×C43—22no—
145C22×C4×C43—22no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—22no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—41no—
161C22×C4×C43—41no—
162C22×C4×C43—41no—
163C22×C4×C43—42no—
164C22×C4×C43—42no—
165C22×C4×C43—42no—
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2×D411yescharacteristic
168C22×C4×C43C2×D411yescharacteristic
169C22×C4×C43C2×D411yescharacteristic
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43C2411yescharacteristic
172SD16×C43—44no—
173C2×C8×C43—21no—
174C2×C8×C43—21no—
175C2×C8×C43—21no—
176C2×C8×C43—21no—
177C2×C8×C43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C4⋊C4×C43—24no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—42no—
197C4⋊C4×C43—42no—
198C4⋊C4×C43—42no—
199C4⋊C4×C43#4112yes—
200C4⋊C4×C43#4112yes—
201C22⋊C4×C43—24no—
202C22⋊C4×C43—24no—
203C22⋊C4×C43—42no—
204C22⋊C4×C43—42no—
205C22⋊C4×C43—42no—
206C22⋊C4×C43—42no—
207C22⋊C4×C43—42no—
208C42×C43—21no—
209C42×C43—21no—
210C42×C43—21no—
211C42×C43—21no—
212C42×C43—41no—
213C42×C43—41no—
214C42×C43—42no—
215C42×C43—42no—
216C42×C43—42no—
217C23×C43—21no—
218C23×C43—21no—
219C23×C43—21no—
220C23×C43—21no—
221C23×C43—21no—
222C23×C43—21no—
223C23×C43—22no—
224C23×C43—41no—
225C23×C43—41no—
226C23×C43—41no—
227C23×C43—41no—
228C23×C43—41no—
229C23×C43—41no—
230C23×C43AGL(1,ℤ/8)12yes—
231C23×C43C22×D411yescharacteristic
232Q8×C43—22no—
233Q8×C43—22no—
234Q8×C43—41no—
235Q8×C43—41no—
236D4×C43—22no—
237D4×C43—22no—
238D4×C43—48no—
239D4×C43—41no—
240D4×C43—41no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—44no—
258C2×C4×C43—44no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—84no—
282C2×C4×C43#13512yes—
283C2×C4×C43#13712yes—
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43C2×#4111yescharacteristic
286C2×C4×C43C2×#4111yescharacteristic
287C2×C4×C43C2×#4111yescharacteristic
288C2×C4×C43H(5,𝔽2)11yescharacteristic
289C2×C4×C43H(5,𝔽2)11yescharacteristic
290C8×C43—41no—
291C8×C43—41no—
292C8×C43—41no—
293C8×C43—41no—
294#29413C4311yesmaximal, characteristic, direct product factor, Sylow
295C22×C43—22no—
296C22×C43—22no—
297C22×C43—22no—
298C22×C43—41no—
299C22×C43—41no—
300C22×C43—41no—
301C22×C43—41no—
302C22×C43—42no—
303C22×C43—42no—
304C22×C43—42no—
305C22×C43—81no—
306C22×C43—81no—
307C22×C43—81no—
308C22×C43—81no—
309C22×C43#52511yescharacteristic
310C22×C43#52511yescharacteristic
311C22×C43#53411yescharacteristic
312C22×C43C2×#13511yescharacteristic
313C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C43C2×#13711yescharacteristic
315C22×C43#57511yescharacteristic
316C4×C43—22no—
317C4×C43—22no—
318C4×C43—42no—
319C4×C43—41no—
320C4×C43—42no—
321C4×C43—42no—
322C4×C43—41no—
323C4×C43—41no—
324C4×C43—81no—
325C4×C43—81no—
326C4×C43—81no—
327C4×C43—81no—
328C4×C43#55111yescharacteristic
329C4×C43#55311yescharacteristic
330C4×C43#55311yescharacteristic
331C4×C43#55911yescharacteristic
332C4×C22⋊Q8C2×C4311yescharacteristic, complemented
333C4×#121C2×C4311yescharacteristic
334#2075C2×C4311yescharacteristic, complemented
335#2035C2×C4311yescharacteristic, complemented
336#2033C2×C4311yescharacteristic
337#2000C2×C4311yescharacteristic
338#1928C2×C4311yescharacteristic, complemented
339#1926C2×C4311yescharacteristic, complemented
340#1921C2×C4311yescharacteristic, complemented
341#1919C2×C4311yescharacteristic, complemented
342#1880C2×C4311yescharacteristic, complemented
343#1877C2×C4311yescharacteristic, complemented
344#1863C2×C4311yescharacteristic, complemented
345#1862C2×C4311yescharacteristic, complemented
346#1817C2×C4311yescharacteristic, complemented
347C2×C43—42no—
348C2×C43—82no—
349C2×C43#260011yescharacteristic
350C2×C43#310211yescharacteristic
351C2×C43#310711yescharacteristic
352C2×C43#311211yescharacteristic
353C2×C43#311411yescharacteristic
354C2×C43#318811yescharacteristic
355C2×C43#319611yescharacteristic
356C22×SD16C22×C4311yescharacteristic
357C2×C22⋊Q8C22×C4311yescharacteristic
358C2×#121C22×C4311yescharacteristic
359C2×C4×Q8C22×C4311yescharacteristic
360C2×C4×D4—21no—
361C2×C4×D4C22×C4311yescharacteristic
362C22×C42C22×C4311yescharacteristic
363C2×#107C22×C4311yescharacteristic
364C2×#107C22×C4311yescharacteristic
365C2×#106C22×C4311yescharacteristic
366C2×#103C22×C4311yescharacteristic
367C2×#103C22×C4311yescharacteristic
368C2×#103C22×C4311yescharacteristic
369C2×#102C22×C4311yescharacteristic
370C2×#102C22×C4311yescharacteristic
371C2×#102C22×C4311yescharacteristic
372C2×C22⋊C8C22×C4311yescharacteristic
373C2×C22⋊C8C22×C4311yescharacteristic
374#391C22×C4311yescharacteristic
375#390C22×C4311yescharacteristic
376#389C22×C4311yescharacteristic
377#389C22×C4311yescharacteristic
378#388—21no—
379#387—21no—
380#386—21no—
381#385—21no—
382#380C22×C4311yescharacteristic
383#380C22×C4311yescharacteristic
384C4×C4⋊C4—21no—
385C4×C4⋊C4C22×C4311yescharacteristic
386C4×C4⋊C4C22×C4311yescharacteristic
387C4×C22⋊C4—21no—
388C4×C22⋊C4—21no—
389#340C22×C4311yescharacteristic
390#340C22×C4311yescharacteristic
391#340C22×C4311yescharacteristic
392#340C22×C4311yescharacteristic
393#340C22×C4311yescharacteristic
394#340C22×C4311yescharacteristic
395#336C22×C4311yescharacteristic
396#336C22×C4311yescharacteristic
397#336C22×C4311yescharacteristic
398#336C22×C4311yescharacteristic
399C43#2941311yescharacteristic, direct product factor, Sylow
400C22×Q8C23×C4311yescharacteristic
401C22×D4—21no—
402C22×D4C23×C4311yescharacteristic
403C23×C4—21no—
404C23×C4D4×C4311yescharacteristic
405C23×C4D4×C4311yescharacteristic
406C23×C4C23×C4311yescharacteristic
407C2×SD16—22no—
408C2×SD16—22no—
409C2×SD16—41no—
410C22×C8C23×C4311yescharacteristic
411C22×C8C23×C4311yescharacteristic
412C22×C8C23×C4311yescharacteristic
413C22×C8C23×C4311yescharacteristic
414C22⋊Q8—22no—
415C22⋊Q8—22no—
416#121—22no—
417#121—22no—
418C4×Q8—41no—
419C4×Q8—41no—
420C4×D4—41no—
421C4×D4—41no—
422C4×D4—44no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4C23×C4311yescharacteristic
428C2×C4⋊C4C23×C4311yescharacteristic
429C2×C4⋊C4C23×C4311yescharacteristic
430C2×C4⋊C4C23×C4311yescharacteristic
431C2×C4⋊C4C23×C4311yescharacteristic
432C2×C4⋊C4C23×C4311yescharacteristic
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C42—21no—
441C2×C42—21no—
442C2×C42—21no—
443C2×C42—41no—
444C2×C42—41no—
445C2×C42D4×C4311yescharacteristic
446C2×C42D4×C4311yescharacteristic
447C2×C42C23×C4311yescharacteristic
448C2×C42C23×C4311yescharacteristic
449#107—22no—
450#107—41no—
451#106—22no—
452#103—22no—
453#103—22no—
454#103—41no—
455#102—22no—
456#102—22no—
457#102—41no—
458C22⋊C8—41no—
459C22⋊C8—41no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468C24—21no—
469C24C2×D4×C4311yescharacteristic
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8#41×C4312yes—
476C2×D4—24no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4#41×C4312yes—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4C2×D4×C4311yescharacteristic
508C22×C4C2×D4×C4311yescharacteristic
509C22×C4C2×D4×C4311yescharacteristic
510C22×C4C2×D4×C4311yescharacteristic
511C22×C4C2×D4×C4311yescharacteristic
512C22×C4C24×C4311yescharacteristic
513SD16—44no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C4⋊C4—24no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4#41×C4312yes—
541C4⋊C4#41×C4312yes—
542C22⋊C4—24no—
543C22⋊C4—24no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—41no—
554C42—41no—
555C42—42no—
556C42—42no—
557C42—42no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—22no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23AGL(1,ℤ/8)×C4312yes—
572C23C22×D4×C4311yescharacteristic
573Q8—22no—
574Q8—22no—
575Q8—41no—
576Q8—41no—
577D4—22no—
578D4—22no—
579D4—48no—
580D4—41no—
581D4—41no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—44no—
599C2×C4—44no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—84no—
623C2×C4#135×C4312yes—
624C2×C4#137×C4312yes—
625C2×C4C2×#41×C4311yescharacteristic
626C2×C4C2×#41×C4311yescharacteristic
627C2×C4C2×#41×C4311yescharacteristic
628C2×C4C2×#41×C4311yescharacteristic
629C2×C4H(5,𝔽2)×C4311yescharacteristic
630C2×C4H(5,𝔽2)×C4311yescharacteristic
631C8—41no—
632C8—41no—
633C8—41no—
634C8—41no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22C43×#52511yescharacteristic
650C22C43×#52511yescharacteristic
651C22C43×#53411yescharacteristic
652C22C2×#135×C4311yescharacteristic
653C22C2×AGL(1,ℤ/8)×C4311yescharacteristic
654C22C2×#137×C4311yescharacteristic
655C22C43×#57511yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—41no—
660C4—42no—
661C4—42no—
662C4—41no—
663C4—41no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4C43×#55111yescharacteristic
669C4C43×#55311yescharacteristic
670C4C43×#55311yescharacteristic
671C4C43×#55911yescharacteristic
672C2—42no—
673C2—82no—
674C2C43×#260011yescharacteristic
675C2C43×#310211yescharacteristic
676C2C43×#310711yescharacteristic
677C2C43×#311211yescharacteristic
678C2C43×#311411yescharacteristic
679C2C43×#318811yescharacteristic
680C2C43×#319611yescharacteristic
subgroupG/H
center, socleC23×C43C22×D4
commutator, Frattini, cosocleC22×C4C24×C43
prime radicalC2×#121×C43C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C43 ◁ C22×C42×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C4×C22⋊Q8×C43C2semidirect
3. C43×#2075C2semidirect
4. C43×#2035C2semidirect
7. C43×#1928C2semidirect
8. C43×#1926C2semidirect
9. C43×#1921C2semidirect
10. C43×#1919C2semidirect
11. C43×#1880C2semidirect
12. C43×#1877C2semidirect
13. C43×#1863C2semidirect
14. C43×#1862C2semidirect
15. C43×#1817C2semidirect
294. #29413C43direct (N × H)
332. C4×C22⋊Q8C2×C43semidirect
334. #2075C2×C43semidirect
335. #2035C2×C43semidirect
338. #1928C2×C43semidirect
339. #1926C2×C43semidirect
340. #1921C2×C43semidirect
341. #1919C2×C43semidirect
342. #1880C2×C43semidirect
343. #1877C2×C43semidirect
344. #1863C2×C43semidirect
345. #1862C2×C43semidirect
346. #1817C2×C43semidirect
399. C43#29413direct (N × H)

Maximal subgroups

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

subgroupindex
C4×C22⋊Q8×C432
C4×#121×C432
C43×#20752
C43×#20352
C43×#20332
C43×#20002
C43×#19282
C43×#19262
C43×#19212
C43×#19192
C43×#18802
C43×#18772
C43×#18632
C43×#18622
C43×#18172
#2941343