Finite Group Databasebeta

← C43×#25822 #24945839

Subgroups — C43×#25822 #24945839

Order 11008.

982 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#544C211yesmaximal, characteristic
2C2×C43×#501C211yesmaximal, characteristic, complemented
3C2×C43×#499C211yesmaximal, characteristic, complemented
4C43×#2629C211yesmaximal, characteristic
5C43×#2059C211yesmaximal, characteristic, complemented
6C43×#2059C211yesmaximal, characteristic, complemented
7C43×#2058C211yesmaximal, characteristic, complemented
8C43×#2057C211yesmaximal, characteristic, complemented
9C43×#1992C211yesmaximal, characteristic, complemented
10C43×#1990C211yesmaximal, characteristic, complemented
11C43×#1854C211yesmaximal, characteristic
12C43×#1854C211yesmaximal, characteristic
13C43×#1853C211yesmaximal, characteristic
14C43×#1852C211yesmaximal, characteristic
15C43×#1750C211yesmaximal, characteristic
16C43×#544—24no—
17C43×#544—24no—
18C2×C4⋊Q8×C43—21no—
19C2×C4⋊Q8×C43C2211yescharacteristic
20C2×C4⋊Q8×C43C2211yescharacteristic
21C2×#125×C43—21no—
22C2×#125×C43C2211yescharacteristic
23C2×#125×C43C2211yescharacteristic
24C2×#125×C43C2211yescharacteristic
25C2×C22⋊Q8×C43—21no—
26C2×C22⋊Q8×C43—21no—
27C2×#117×C43C2211yescharacteristic
28C2×#117×C43C2211yescharacteristic
29C22×C4⋊C4×C43C2211yescharacteristic
30C43×#501—24no—
31C43×#499—24no—
32C2×#107×C43C2211yescharacteristic
33C2×#107×C43C2211yescharacteristic
34C2×#107×C43C2211yescharacteristic
35C2×#107×C43C2211yescharacteristic
36C2×#106×C43C2211yescharacteristic
37C2×#106×C43C2211yescharacteristic
38C2×#106×C43C2211yescharacteristic
39C2×#106×C43C2211yescharacteristic
40C2×C22⋊C8×C43C2211yescharacteristic
41C2×C22⋊C8×C43C2211yescharacteristic
42C2×#97×C43C2211yescharacteristic
43C2×C4×C8×C43C2211yescharacteristic
44C43×#398—21no—
45C43×#398—21no—
46C43×#396—21no—
47C43×#396—21no—
48C43×#389C2211yescharacteristic
49C43×#389C2211yescharacteristic
50C43×#384C2211yescharacteristic
51C43×#380C2211yescharacteristic
52C43×#380C2211yescharacteristic
53C43×#340C2211yescharacteristic
54C43×#340C2211yescharacteristic
55C43×#340C2211yescharacteristic
56C43×#340C2211yescharacteristic
57C43×#340C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#336C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×Q8×C43—21no—
64C22×Q8×C43—21no—
65C23×C4×C43—21no—
66C23×C4×C43C2311yescharacteristic
67C22×C8×C43C2311yescharacteristic
68C22×C8×C43C2311yescharacteristic
69C22×C8×C43C2311yescharacteristic
70C22×C8×C43C2311yescharacteristic
71C4⋊Q8×C43—28no—
72C4⋊Q8×C43—22no—
73C4⋊Q8×C43—22no—
74C4⋊Q8×C43—22no—
75C4⋊Q8×C43D414yes—
76#125×C43—28no—
77#125×C43—22no—
78#125×C43—22no—
79#125×C43—22no—
80#125×C43—22no—
81#125×C43—22no—
82#125×C43D414yes—
83C22⋊Q8×C43—28no—
84C22⋊Q8×C43—28no—
85#117×C43—22no—
86#117×C43—22no—
87#117×C43—22no—
88#117×C43—22no—
89C2×C4⋊C4×C43—21no—
90C2×C4⋊C4×C43—21no—
91C2×C4⋊C4×C43—21no—
92C2×C4⋊C4×C43—21no—
93C2×C4⋊C4×C43—21no—
94C2×C4⋊C4×C43—21no—
95C2×C4⋊C4×C43—21no—
96C2×C4⋊C4×C43—22no—
97C2×C4⋊C4×C43—22no—
98C2×C4⋊C4×C43—21no—
99C2×C4⋊C4×C43—21no—
100C2×C4⋊C4×C43—21no—
101C2×C4⋊C4×C43—21no—
102C2×C4⋊C4×C43—21no—
103C2×C4⋊C4×C43—21no—
104C2×C4⋊C4×C43D411yescharacteristic
105C2×C4⋊C4×C43D411yescharacteristic
106C2×C4⋊C4×C43C2311yescharacteristic
107C2×C4⋊C4×C43C2311yescharacteristic
108C2×C4⋊C4×C43C2311yescharacteristic
109C2×C4⋊C4×C43C2311yescharacteristic
110C2×C4⋊C4×C43C2311yescharacteristic
111C2×C4⋊C4×C43C2311yescharacteristic
112C2×C4⋊C4×C43C2311yescharacteristic
113C2×C4⋊C4×C43C2311yescharacteristic
114C2×C22⋊C4×C43—21no—
115C2×C22⋊C4×C43—21no—
116C2×C22⋊C4×C43—21no—
117C2×C22⋊C4×C43D411yescharacteristic
118C2×C22⋊C4×C43D411yescharacteristic
119C2×C42×C43—21no—
120C2×C42×C43C2311yescharacteristic
121C2×C42×C43C2311yescharacteristic
122#107×C43—22no—
123#107×C43—22no—
124#107×C43—22no—
125#107×C43—22no—
126#106×C43—22no—
127#106×C43—22no—
128#106×C43—22no—
129#106×C43—22no—
130C22⋊C8×C43Q814yescomplemented
131C22⋊C8×C43Q814yescomplemented
132#97×C43—22no—
133C4×C8×C43—22no—
134#95×C43—21no—
135#95×C43—21no—
136#95×C43—21no—
137#95×C43—21no—
138C24×C43C2×D411yescharacteristic
139C2×Q8×C43—24no—
140C2×Q8×C43—24no—
141C2×Q8×C43—81no—
142C2×Q8×C43—81no—
143C2×Q8×C43—81no—
144C2×Q8×C43—81no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—24no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—81no—
159C22×C4×C43—81no—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2×Q812yes—
166C22×C4×C43C2×Q812yes—
167C22×C4×C43C2411yescharacteristic
168C2×C8×C43—21no—
169C2×C8×C43—21no—
170C2×C8×C43—21no—
171C2×C8×C43—21no—
172C2×C8×C43—21no—
173C2×C8×C43—21no—
174C2×C8×C43—21no—
175C2×C8×C43—21no—
176C2×C8×C43C2×Q812yes—
177C2×C8×C43C2×Q812yes—
178C2×C8×C43C2×Q812yes—
179C2×C8×C43C2×Q812yes—
180C4⋊C4×C43—24no—
181C4⋊C4×C43—24no—
182C4⋊C4×C43—24no—
183C4⋊C4×C43—24no—
184C4⋊C4×C43—24no—
185C4⋊C4×C43—24no—
186C4⋊C4×C43—24no—
187C4⋊C4×C43—22no—
188C4⋊C4×C43—22no—
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—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—42no—
202C4⋊C4×C43—42no—
203C4⋊C4×C43—81no—
204C4⋊C4×C43—81no—
205C4⋊C4×C43—81no—
206C4⋊C4×C43—81no—
207C4⋊C4×C43C2×D412yes—
208C4⋊C4×C43C2×D412yes—
209C4⋊C4×C43C2×D412yes—
210C4⋊C4×C43C2×D412yes—
211C22⋊C4×C43—24no—
212C22⋊C4×C43—22no—
213C22⋊C4×C43—22no—
214C22⋊C4×C43—81no—
215C22⋊C4×C43—81no—
216C42×C43—24no—
217C42×C43—21no—
218C42×C43—21no—
219C42×C43C2×D412yes—
220C42×C43C2×D412yes—
221C23×C43—21no—
222C23×C43—21no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43C4⋊Q812yes—
228C23×C43C22×D411yescharacteristic
229Q8×C43—84no—
230Q8×C43—84no—
231C2×C4×C43—21no—
232C2×C4×C43—21no—
233C2×C4×C43—21no—
234C2×C4×C43—21no—
235C2×C4×C43—21no—
236C2×C4×C43—21no—
237C2×C4×C43—22no—
238C2×C4×C43—22no—
239C2×C4×C43—22no—
240C2×C4×C43—22no—
241C2×C4×C43—21no—
242C2×C4×C43—22no—
243C2×C4×C43—21no—
244C2×C4×C43—22no—
245C2×C4×C43—22no—
246C2×C4×C43—22no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
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—84no—
272C2×C4×C43#12012yes—
273C2×C4×C43#12012yes—
274C2×C4×C43C4⋊Q812yes—
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C22×D411yescharacteristic
277C2×C4×C43C22×Q811yescharacteristic
278C2×C4×C43C22×Q811yescharacteristic
279C2×C4×C432−1+411yescharacteristic
280C2×C4×C432−1+411yescharacteristic
281C8×C43—22no—
282C8×C43—22no—
283C8×C43—22no—
284C8×C43—22no—
285#25822C4311yesmaximal, characteristic, direct product factor, Sylow
286C22×C43—22no—
287C22×C43—22no—
288C22×C43—22no—
289C22×C43—41no—
290C22×C43—41no—
291C22×C43—41no—
292C22×C43—41no—
293C22×C43C2×#12011yescharacteristic
294C22×C43C2×C4⋊Q811yescharacteristic
295C22×C43#53611yescharacteristic
296C22×C43#57611yescharacteristic
297C22×C43#57711yescharacteristic
298C22×C43#57711yescharacteristic
299C22×C43#57811yescharacteristic
300C4×C43—22no—
301C4×C43—22no—
302C4×C43—22no—
303C4×C43—41no—
304C4×C43—42no—
305C4×C43—42no—
306C4×C43—42no—
307C4×C43—41no—
308C4×C43—42no—
309C4×C43—81no—
310C4×C43—81no—
311C4×C43—81no—
312C4×C43—81no—
313C4×C43D4×Q811yescharacteristic
314C4×C43D4×Q811yescharacteristic
315C4×C43D4×Q811yescharacteristic
316C4×C43D4×Q811yescharacteristic
317C2×#544C2×C4311yescharacteristic
318C2×#501C2×C4311yescharacteristic, complemented
319C2×#499C2×C4311yescharacteristic, complemented
320#2629C2×C4311yescharacteristic
321#2059C2×C4311yescharacteristic, complemented
322#2059C2×C4311yescharacteristic, complemented
323#2058C2×C4311yescharacteristic, complemented
324#2057C2×C4311yescharacteristic, complemented
325#1992C2×C4311yescharacteristic, complemented
326#1990C2×C4311yescharacteristic, complemented
327#1854C2×C4311yescharacteristic
328#1854C2×C4311yescharacteristic
329#1853C2×C4311yescharacteristic
330#1852C2×C4311yescharacteristic
331#1750C2×C4311yescharacteristic
332C2×C43—42no—
333C2×C43#243411yescharacteristic
334C2×C43#301211yescharacteristic
335C2×C43#301311yescharacteristic
336C2×C43#316311yescharacteristic
337C2×C43#316411yescharacteristic
338C2×C43#324111yescharacteristic
339C2×C43#324211yescharacteristic
340#544—24no—
341#544—24no—
342C2×C4⋊Q8—21no—
343C2×C4⋊Q8C22×C4311yescharacteristic
344C2×C4⋊Q8C22×C4311yescharacteristic
345C2×#125—21no—
346C2×#125C22×C4311yescharacteristic
347C2×#125C22×C4311yescharacteristic
348C2×#125C22×C4311yescharacteristic
349C2×C22⋊Q8—21no—
350C2×C22⋊Q8—21no—
351C2×#117C22×C4311yescharacteristic
352C2×#117C22×C4311yescharacteristic
353C22×C4⋊C4C22×C4311yescharacteristic
354#501—24no—
355#499—24no—
356C2×#107C22×C4311yescharacteristic
357C2×#107C22×C4311yescharacteristic
358C2×#107C22×C4311yescharacteristic
359C2×#107C22×C4311yescharacteristic
360C2×#106C22×C4311yescharacteristic
361C2×#106C22×C4311yescharacteristic
362C2×#106C22×C4311yescharacteristic
363C2×#106C22×C4311yescharacteristic
364C2×C22⋊C8C22×C4311yescharacteristic
365C2×C22⋊C8C22×C4311yescharacteristic
366C2×#97C22×C4311yescharacteristic
367C2×C4×C8C22×C4311yescharacteristic
368#398—21no—
369#398—21no—
370#396—21no—
371#396—21no—
372#389C22×C4311yescharacteristic
373#389C22×C4311yescharacteristic
374#384C22×C4311yescharacteristic
375#380C22×C4311yescharacteristic
376#380C22×C4311yescharacteristic
377#340C22×C4311yescharacteristic
378#340C22×C4311yescharacteristic
379#340C22×C4311yescharacteristic
380#340C22×C4311yescharacteristic
381#340C22×C4311yescharacteristic
382#340C22×C4311yescharacteristic
383#340C22×C4311yescharacteristic
384#340C22×C4311yescharacteristic
385#336C22×C4311yescharacteristic
386#336C22×C4311yescharacteristic
387C43#2582211yescharacteristic, direct product factor, Sylow
388C22×Q8—21no—
389C22×Q8—21no—
390C23×C4—21no—
391C23×C4C23×C4311yescharacteristic
392C22×C8C23×C4311yescharacteristic
393C22×C8C23×C4311yescharacteristic
394C22×C8C23×C4311yescharacteristic
395C22×C8C23×C4311yescharacteristic
396C4⋊Q8—28no—
397C4⋊Q8—22no—
398C4⋊Q8—22no—
399C4⋊Q8—22no—
400C4⋊Q8D4×C4314yes—
401#125—28no—
402#125—22no—
403#125—22no—
404#125—22no—
405#125—22no—
406#125—22no—
407#125D4×C4314yes—
408C22⋊Q8—28no—
409C22⋊Q8—28no—
410#117—22no—
411#117—22no—
412#117—22no—
413#117—22no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—22no—
422C2×C4⋊C4—22no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4D4×C4311yescharacteristic
430C2×C4⋊C4D4×C4311yescharacteristic
431C2×C4⋊C4C23×C4311yescharacteristic
432C2×C4⋊C4C23×C4311yescharacteristic
433C2×C4⋊C4C23×C4311yescharacteristic
434C2×C4⋊C4C23×C4311yescharacteristic
435C2×C4⋊C4C23×C4311yescharacteristic
436C2×C4⋊C4C23×C4311yescharacteristic
437C2×C4⋊C4C23×C4311yescharacteristic
438C2×C4⋊C4C23×C4311yescharacteristic
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4D4×C4311yescharacteristic
443C2×C22⋊C4D4×C4311yescharacteristic
444C2×C42—21no—
445C2×C42C23×C4311yescharacteristic
446C2×C42C23×C4311yescharacteristic
447#107—22no—
448#107—22no—
449#107—22no—
450#107—22no—
451#106—22no—
452#106—22no—
453#106—22no—
454#106—22no—
455C22⋊C8Q8×C4314yescomplemented
456C22⋊C8Q8×C4314yescomplemented
457#97—22no—
458C4×C8—22no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463C24C2×D4×C4311yescharacteristic
464C2×Q8—24no—
465C2×Q8—24no—
466C2×Q8—81no—
467C2×Q8—81no—
468C2×Q8—81no—
469C2×Q8—81no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—24no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—81no—
484C22×C4—81no—
485C22×C4C2×D4×C4311yescharacteristic
486C22×C4C2×D4×C4311yescharacteristic
487C22×C4C2×D4×C4311yescharacteristic
488C22×C4C2×D4×C4311yescharacteristic
489C22×C4C2×D4×C4311yescharacteristic
490C22×C4C2×Q8×C4312yes—
491C22×C4C2×Q8×C4312yes—
492C22×C4C24×C4311yescharacteristic
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8C2×Q8×C4312yes—
502C2×C8C2×Q8×C4312yes—
503C2×C8C2×Q8×C4312yes—
504C2×C8C2×Q8×C4312yes—
505C4⋊C4—24no—
506C4⋊C4—24no—
507C4⋊C4—24no—
508C4⋊C4—24no—
509C4⋊C4—24no—
510C4⋊C4—24no—
511C4⋊C4—24no—
512C4⋊C4—22no—
513C4⋊C4—22no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—81no—
529C4⋊C4—81no—
530C4⋊C4—81no—
531C4⋊C4—81no—
532C4⋊C4C2×D4×C4312yes—
533C4⋊C4C2×D4×C4312yes—
534C4⋊C4C2×D4×C4312yes—
535C4⋊C4C2×D4×C4312yes—
536C22⋊C4—24no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C42—24no—
542C42—21no—
543C42—21no—
544C42C2×D4×C4312yes—
545C42C2×D4×C4312yes—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23C4⋊Q8×C4312yes—
553C23C22×D4×C4311yescharacteristic
554Q8—84no—
555Q8—84no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—21no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—84no—
597C2×C4#120×C4312yes—
598C2×C4#120×C4312yes—
599C2×C4C4⋊Q8×C4312yes—
600C2×C4C22×D4×C4311yescharacteristic
601C2×C4C22×D4×C4311yescharacteristic
602C2×C4C22×Q8×C4311yescharacteristic
603C2×C4C22×Q8×C4311yescharacteristic
604C2×C42−1+4×C4311yescharacteristic
605C2×C42−1+4×C4311yescharacteristic
606C8—22no—
607C8—22no—
608C8—22no—
609C8—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22C2×#120×C4311yescharacteristic
618C22C2×C4⋊Q8×C4311yescharacteristic
619C22C43×#53611yescharacteristic
620C22C43×#57611yescharacteristic
621C22C43×#57711yescharacteristic
622C22C43×#57711yescharacteristic
623C22C43×#57811yescharacteristic
624C4—22no—
625C4—22no—
626C4—22no—
627C4—41no—
628C4—42no—
629C4—42no—
630C4—42no—
631C4—41no—
632C4—42no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4D4×Q8×C4311yescharacteristic
638C4D4×Q8×C4311yescharacteristic
639C4D4×Q8×C4311yescharacteristic
640C4D4×Q8×C4311yescharacteristic
641C2—42no—
642C2C43×#243411yescharacteristic
643C2C43×#301211yescharacteristic
644C2C43×#301311yescharacteristic
645C2C43×#316311yescharacteristic
646C2C43×#316411yescharacteristic
647C2C43×#324111yescharacteristic
648C2C43×#324211yescharacteristic
subgroupG/H
center, socleC23×C43C22×D4
commutator, Frattini, cosocleC22×C4C24×C43
prime radicalC24×C43C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C43 ◁ C2×#117×C43 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C43×#501C2semidirect
3. C2×C43×#499C2semidirect
5. C43×#2059C2semidirect
6. C43×#2059C2semidirect
7. C43×#2058C2semidirect
8. C43×#2057C2semidirect
9. C43×#1992C2semidirect
10. C43×#1990C2semidirect
130. C22⋊C8×C43Q8semidirect
131. C22⋊C8×C43Q8semidirect
285. #25822C43direct (N × H)
318. C2×#501C2×C43semidirect
319. C2×#499C2×C43semidirect
321. #2059C2×C43semidirect
322. #2059C2×C43semidirect
323. #2058C2×C43semidirect
324. #2057C2×C43semidirect
325. #1992C2×C43semidirect
326. #1990C2×C43semidirect
387. C43#25822direct (N × H)
455. C22⋊C8Q8×C43semidirect
456. C22⋊C8Q8×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#5442
C2×C43×#5012
C2×C43×#4992
C43×#26292
C43×#20592
C43×#20582
C43×#20572
C43×#19922
C43×#19902
C43×#18542
C43×#18532
C43×#18522
C43×#17502
#2582243