Finite Group Databasebeta

← #25140408

Subgroups — #25140408

Order 11008.

1016 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×SD16×Dic43C211yesmaximal, characteristic, complemented
2#19138105C211yesmaximal, characteristic
3Q8×C22⋊Dic43C211yesmaximal, characteristic, complemented
4#19136136C211yesmaximal, characteristic, complemented
5#19136028C211yesmaximal, characteristic, complemented
6#19135908C211yesmaximal, characteristic, complemented
7#19135781C211yesmaximal, characteristic
8#19135268C211yesmaximal, characteristic, complemented
9#19135198C211yesmaximal, characteristic, complemented
10#19134952C211yesmaximal, characteristic, complemented
11#19134931C211yesmaximal, characteristic, complemented
12#19134861C211yesmaximal, characteristic, complemented
13#19134598C211yesmaximal, characteristic, complemented
14#19134530C211yesmaximal, characteristic, complemented
15C2×C43×#448C211yesmaximal, characteristic
16C2×#13063306—21no—
17C2×Q8×Dic43C2211yescharacteristic
18C2×Q8×Dic43C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20SD16×Dic43—24no—
21C2×#13063257C2211yescharacteristic
22C2×#13063256C2211yescharacteristic
23C2×Dic43⋊C8C2211yescharacteristic
24C2×#13063249C2211yescharacteristic
25C2×#13063249C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×C22⋊(C43⋊C8)C2211yescharacteristic
31C2×C8×Dic43C2211yescharacteristic
32#14582827—21no—
33#14582813—21no—
34#14582806—21no—
35#14582806—21no—
36#14582806C2211yescharacteristic
37#14582806C2211yescharacteristic
38#14582802C2211yescharacteristic
39#14582795C2211yescharacteristic
40#14582771—21no—
41#14582768C2211yescharacteristic
42#14582759—21no—
43#14582759C2211yescharacteristic
44#14582759C2211yescharacteristic
45C4×C22⋊Dic43—21no—
46C4×C22⋊Dic43C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C23×Q8×C43C2211yescharacteristic
54C22×SD16×C43C2211yescharacteristic
55C22×SD16×C43C2211yescharacteristic
56C2×#121×C43C2211yescharacteristic
57C43×#448—24no—
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×C22⋊C8×C43C2211yescharacteristic
61C23×Dic43—21no—
62C22×C43⋊C8C2311yescharacteristic
63C22×C43⋊C8C2311yescharacteristic
64#13063306—44no—
65Q8×Dic43—22no—
66Q8×Dic43—22no—
67Q8×Dic43—41no—
68Q8×Dic43—41no—
69D4×Dic43—22no—
70D4×Dic43—41no—
71C2×C4⋊Dic43—21no—
72C2×C4⋊Dic43—21no—
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×C4⋊Dic43C2311yescharacteristic
77C2×Dic43⋊C4—21no—
78C2×Dic43⋊C4—21no—
79C2×Dic43⋊C4—21no—
80C2×C22⋊Dic43—21no—
81C2×C22⋊Dic43—21no—
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43—21no—
85C2×C22⋊Dic43D411yescharacteristic
86C2×C22⋊Dic43D411yescharacteristic
87C2×C4×Dic43—21no—
88C2×C4×Dic43—21no—
89C2×C4×Dic43C2311yescharacteristic
90C2×C4×Dic43C2311yescharacteristic
91#13063257—22no—
92#13063256—41no—
93Dic43⋊C8—41no—
94#13063249—22no—
95#13063249—22no—
96#13063249—22no—
97#13063249—41no—
98#13063246—22no—
99#13063246—41no—
100C22⋊(C43⋊C8)—41no—
101C8×Dic43—22no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95D411yescharacteristic
110C43⋊#95D411yescharacteristic
111C22×Q8×C43—22no—
112C22×Q8×C43—22no—
113C22×Q8×C43—21no—
114C22×Q8×C43—22no—
115C22×Q8×C43—22no—
116C22×Q8×C43—41no—
117C22×Q8×C43—41no—
118C22×Q8×C43C2311yescharacteristic
119C22×Q8×C43C2311yescharacteristic
120C22×D4×C43—21no—
121C22×D4×C43C2311yescharacteristic
122C23×C4×C43—21no—
123C23×C4×C43C2311yescharacteristic
124C2×SD16×C43—22no—
125C2×SD16×C43—22no—
126C2×SD16×C43—22no—
127C2×SD16×C43—22no—
128C2×SD16×C43—41no—
129C2×SD16×C43D414yes—
130C22×C8×C43C2311yescharacteristic
131C22×C8×C43C2311yescharacteristic
132#121×C43—22no—
133#121×C43—41no—
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C22⋊C4×C43—21no—
136#103×C43—22no—
137#103×C43—22no—
138C22⋊C8×C43—22no—
139C24×C43—21no—
140C24×C43C2×D411yescharacteristic
141C2×Q8×C43—24no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—42no—
151C2×Q8×C43—42no—
152C2×Q8×C43—44no—
153C2×Q8×C43—44no—
154C2×Q8×C43—44no—
155C2×Q8×C43—44no—
156C2×Q8×C43C2×D412yes—
157C2×Q8×C43#4112yes—
158C2×Q8×C43#4112yes—
159C2×Q8×C43#4112yes—
160C2×D4×C43—21no—
161C2×D4×C43—21no—
162C2×D4×C43—21no—
163C2×D4×C43—21no—
164C2×D4×C43—21no—
165C2×D4×C43—42no—
166C2×D4×C43—42no—
167C2×D4×C43—81no—
168C2×D4×C43C2×D412yes—
169C22×C4×C43—24no—
170C22×C4×C43—21no—
171C22×C4×C43—21no—
172C22×C4×C43—21no—
173C22×C4×C43—21no—
174C22×C4×C43—21no—
175C22×C4×C43—21no—
176C22×C4×C43—21no—
177C22×C4×C43—21no—
178C22×C4×C43—21no—
179C22×C4×C43—42no—
180C22×C4×C43—42no—
181C22×C4×C43C2×D411yescharacteristic
182C22×C4×C43C2411yescharacteristic
183C22×Dic43—21no—
184C22×Dic43—21no—
185C22×Dic43—21no—
186C22×Dic43—21no—
187C22×Dic43—42no—
188C22×Dic43—42no—
189C22×Dic43—81no—
190C22×Dic43C2×D411yescharacteristic
191C22×Dic43C2×D411yescharacteristic
192C22×Dic43C2×D411yescharacteristic
193C22×Dic43C2×D411yescharacteristic
194SD16×C43—28no—
195SD16×C43—44no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43C2×D412yes—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C22⋊C4×C43—42no—
205C22⋊Dic43—41no—
206C22⋊Dic43—42no—
207C22⋊Dic43—42no—
208C22⋊Dic43—42no—
209C22⋊Dic43—42no—
210C22⋊Dic43—42no—
211C22⋊Dic43SD1614yescomplemented
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—42no—
221C4⋊Dic43—42no—
222Dic43⋊C4—42no—
223Dic43⋊C4—42no—
224Dic43⋊C4—81no—
225C4×Dic43—21no—
226C4×Dic43—21no—
227C4×Dic43—21no—
228C4×Dic43—21no—
229C4×Dic43—42no—
230C4×Dic43—42no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—22no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43C2×SD1612yes—
251C23×C43C22×D411yescharacteristic
252Q8×C43—22no—
253Q8×C43—22no—
254Q8×C43—22no—
255Q8×C43—22no—
256Q8×C43—22no—
257Q8×C43—48no—
258Q8×C43—41no—
259Q8×C43—41no—
260Q8×C43#12314yescomplemented
261D4×C43—22no—
262D4×C43—22no—
263D4×C43—41no—
264D4×C43—41no—
265D4×C43—84no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—22no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—21no—
273C2×C4×C43—48no—
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—41no—
282C2×C4×C43—41no—
283C2×C4×C43C22×D411yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43C2×#4111yescharacteristic
286C2×C4×C43C2×#4111yescharacteristic
287C2×C4×C43H(5,𝔽2)11yescharacteristic
288C2×C4×C43H(5,𝔽2)11yescharacteristic
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—21no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—41no—
308C2×Dic43—41no—
309C2×Dic43—41no—
310C2×Dic43—41no—
311C2×Dic43—84no—
312C2×Dic43C2×SD1612yes—
313C2×Dic43C2×SD1612yes—
314C8×C43—22no—
315C8×C43—41no—
316C43⋊C8—41no—
317C43⋊C8—41no—
318#24898—431nomaximal, Sylow
319C22×C43—22no—
320C22×C43—22no—
321C22×C43—22no—
322C22×C43—41no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—41no—
326C22×C43—42no—
327C22×C43—42no—
328C22×C43—42no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43—81no—
333C22×C43#52511yescharacteristic
334C22×C43D4211yescharacteristic
335C22×C43#54611yescharacteristic
336C22×C43C22×SD1611yescharacteristic
337C22×C43#57511yescharacteristic
338C22×C43#57711yescharacteristic
339C22×C43#57811yescharacteristic
340C4×C43—24no—
341C4×C43—41no—
342C4×C43—42no—
343C4×C43—81no—
344C4×C43C2×#12311yescharacteristic
345C4×C43#53811yescharacteristic
346C4×C43#54611yescharacteristic
347C4×C43#55111yescharacteristic
348Dic43—22no—
349Dic43—22no—
350Dic43—41no—
351Dic43—41no—
352Dic43—81no—
353Dic43—81no—
354Dic43—81no—
355Dic43—81no—
356C2×#448D4311yescharacteristic
357C2×C4×SD16—431no—
358#2422—431no—
359Q8×C22⋊C4—431no—
360#2096—431no—
361#2077—431no—
362#2055—431no—
363#2034—431no—
364#1933—431no—
365#1923—431no—
366#1880—431no—
367#1877—431no—
368#1865—431no—
369#1803—431no—
370#1787—431no—
371C2×C43—42no—
372C2×C43—82no—
373C2×C43#241811yescharacteristic
374C2×C43#310311yescharacteristic
375C2×C43#312111yescharacteristic
376C2×C43#326911yescharacteristic
377C2×C43D4×SD1611yescharacteristic
378C2×C43#329811yescharacteristic
379C2×C43#332611yescharacteristic
380C23×Q8C2×D4311yescharacteristic
381C22×SD16C2×D4311yescharacteristic
382C22×SD16C2×D4311yescharacteristic
383C2×#123—861no—
384C2×#121C2×D4311yescharacteristic
385C2×C4×Q8—431no—
386C2×C4×Q8—431no—
387C2×C4×D4—431no—
388#448—24no—
389C4×SD16—864no—
390C2×#106—431no—
391C2×#106—431no—
392C2×C4⋊C8—431no—
393C2×#103—431no—
394C2×#103—431no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103C2×D4311yescharacteristic
398C2×#103C2×D4311yescharacteristic
399C2×#102—431no—
400C2×#102—431no—
401C2×C22⋊C8—431no—
402C2×C22⋊C8C2×D4311yescharacteristic
403C2×C4×C8—431no—
404#397—861no—
405#394—861no—
406#391—431no—
407#391—431no—
408#391—861no—
409#391—861no—
410#390—431no—
411#389—431no—
412#385—861no—
413#384—431no—
414#380—431no—
415#380—431no—
416#380—861no—
417C4×C22⋊C4—431no—
418C4×C22⋊C4—861no—
419#340—431no—
420#340—431no—
421#340—431no—
422#340—431no—
423#336—431no—
424#336—431no—
425C43#2489811yescharacteristic, complemented, Sylow
426C22×Q8—22no—
427C22×Q8—22no—
428C22×Q8—21no—
429C22×Q8—22no—
430C22×Q8—22no—
431C22×Q8—41no—
432C22×Q8—41no—
433C22×Q8C22×D4311yescharacteristic
434C22×Q8C22×D4311yescharacteristic
435C22×D4—21no—
436C22×D4C22×D4311yescharacteristic
437C23×C4—21no—
438C23×C4—861no—
439C23×C4C22×D4311yescharacteristic
440C2×SD16—22no—
441C2×SD16—22no—
442C2×SD16—22no—
443C2×SD16—22no—
444C2×SD16—41no—
445C2×SD16C22⋊D4314yes—
446C22×C8—431no—
447C22×C8—431no—
448C22×C8C22×D4311yescharacteristic
449C22×C8C22×D4311yescharacteristic
450#123—1724no—
451#121—22no—
452#121—41no—
453C4×Q8—862no—
454C4×Q8—862no—
455C4×Q8—1721no—
456C4×Q8—1721no—
457C4×D4—862no—
458C4×D4—1721no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—431no—
471C2×C22⋊C4—431no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C42—431no—
478C2×C42—431no—
479C2×C42—861no—
480C2×C42—861no—
481#106—862no—
482#106—1721no—
483C4⋊C8—1721no—
484#103—22no—
485#103—22no—
486#103—862no—
487#103—862no—
488#103—862no—
489#103—1721no—
490#102—862no—
491#102—1721no—
492C22⋊C8—22no—
493C22⋊C8—1721no—
494C4×C8—862no—
495#95—431no—
496#95—431no—
497#95—861no—
498#95—861no—
499#95—861no—
500#95—861no—
501#95—861no—
502#95—861no—
503#95—861no—
504C24—21no—
505C24D4×D4311yescharacteristic
506C2×Q8—24no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—42no—
516C2×Q8—42no—
517C2×Q8—44no—
518C2×Q8—44no—
519C2×Q8—44no—
520C2×Q8—44no—
521C2×Q8#1062190012yes—
522C2×Q8#1062190012yes—
523C2×Q8#1062190012yes—
524C2×Q8C2×C22⋊D4312yes—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—42no—
531C2×D4—42no—
532C2×D4—81no—
533C2×D4C2×C22⋊D4312yes—
534C22×C4—21no—
535C22×C4—24no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—42no—
545C22×C4—42no—
546C22×C4—431no—
547C22×C4—431no—
548C22×C4—431no—
549C22×C4—431no—
550C22×C4—861no—
551C22×C4—861no—
552C22×C4—861no—
553C22×C4—861no—
554C22×C4—3441no—
555C22×C4—1722no—
556C22×C4—1722no—
557C22×C4D4×D4311yescharacteristic
558C22×C4C23×D4311yescharacteristic
559SD16—28no—
560SD16—44no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8—861no—
571C2×C8—861no—
572C2×C8C2×C22⋊D4312yes—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—3441no—
584C4⋊C4—1722no—
585C4⋊C4—1722no—
586C4⋊C4—1722no—
587C4⋊C4—1722no—
588C22⋊C4—42no—
589C22⋊C4—434no—
590C22⋊C4—1722no—
591C22⋊C4—1721no—
592C22⋊C4—1722no—
593C22⋊C4—1722no—
594C22⋊C4—1722no—
595C22⋊C4—1722no—
596C42—861no—
597C42—861no—
598C42—861no—
599C42—861no—
600C42—1722no—
601C42—1722no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23SD16×D4312yes—
616C23C2×D4×D4311yescharacteristic
617Q8—22no—
618Q8—22no—
619Q8—22no—
620Q8—22no—
621Q8—22no—
622Q8—48no—
623Q8—41no—
624Q8—41no—
625Q8#1306330614yescomplemented
626D4—22no—
627D4—22no—
628D4—41no—
629D4—41no—
630D4—84no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—48no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—432no—
649C2×C4—432no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—861no—
658C2×C4—861no—
659C2×C4—861no—
660C2×C4—3444no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4C22×C22⋊D4311yescharacteristic
674C2×C4C2×#1062190011yescharacteristic
675C2×C4C2×#1062190011yescharacteristic
676C2×C4C2×#1062190011yescharacteristic
677C2×C4#1306337011yescharacteristic
678C2×C4#1306337011yescharacteristic
679C8—22no—
680C8—41no—
681C8—1721no—
682C8—1721no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22#1458340511yescharacteristic
698C22D4×C22⋊D4311yescharacteristic
699C22#1458353611yescharacteristic
700C22C2×SD16×D4311yescharacteristic
701C22#1458369811yescharacteristic
702C22#1458370511yescharacteristic
703C22#1458371511yescharacteristic
704C4—24no—
705C4—41no—
706C4—42no—
707C4—81no—
708C4—862no—
709C4—862no—
710C4—3441no—
711C4—3441no—
712C4—3441no—
713C4—3441no—
714C4—1721no—
715C4—1721no—
716C4C2×#1306330611yescharacteristic
717C4#1458348411yescharacteristic
718C4#1458354311yescharacteristic
719C4#1458358011yescharacteristic
720C2—42no—
721C2—82no—
722C2#1913805311yescharacteristic
723C2#1914462111yescharacteristic
724C2#1914481711yescharacteristic
725C2#1914614411yescharacteristic
726C2SD16×C22⋊D4311yescharacteristic
727C2#1914645311yescharacteristic
728C2#1914685211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#448C2
socleC23×C43C22×D4
prime radicalC2×#121×C43C22
hypercenterC2×#448D43
hypocenterC43#24898
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#448

Complements

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

NH ≅ G/Ntype
1. C2×SD16×Dic43C2semidirect
3. Q8×C22⋊Dic43C2semidirect
4. #19136136C2semidirect
5. #19136028C2semidirect
6. #19135908C2semidirect
8. #19135268C2semidirect
9. #19135198C2semidirect
10. #19134952C2semidirect
11. #19134931C2semidirect
12. #19134861C2semidirect
13. #19134598C2semidirect
14. #19134530C2semidirect
211. C22⋊Dic43SD16semidirect
260. Q8×C43#123semidirect
425. C43#24898semidirect
625. Q8#13063306semidirect

Maximal subgroups

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

subgroupindex
C2×SD16×Dic432
#191381052
Q8×C22⋊Dic432
#191361362
#191360282
#191359082
#191357812
#191352682
#191351982
#191349522
#191349312
#191348612
#191345982
#191345302
C2×C43×#4482
#2489843