Finite Group Databasebeta

← #25096702

Subgroups — #25096702

Order 11008.

1298 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583380C211yesmaximal, characteristic
2C2×#14582957C211yesmaximal, characteristic, complemented
3#19137202C211yesmaximal, characteristic, complemented
4#19134681C211yesmaximal, characteristic, complemented
5#19134609C211yesmaximal, characteristic, complemented
6#19134604C211yesmaximal, characteristic, complemented
7#19134599C211yesmaximal, characteristic, complemented
8#19134594C211yesmaximal, characteristic, complemented
9#19134536C211yesmaximal, characteristic
10#19134533C211yesmaximal, characteristic
11#19134424C211yesmaximal, characteristic, complemented
12#19134419C211yesmaximal, characteristic, complemented
13#19134414C211yesmaximal, characteristic, complemented
14#19134409C211yesmaximal, characteristic, complemented
15C43×#1824C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17#14583380—24no—
18#14583380C418yescomplemented
19C2×#13063290C2211yescharacteristic
20C2×#13063290C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23C2×C4×C22⋊D43—21no—
24C2×C4×C22⋊D43—21no—
25C2×#13063284C2211yescharacteristic
26C2×#13063283—21no—
27C2×C4⋊C4×D43—21no—
28#14582957—24no—
29C2×Dic43⋊C8C2211yescharacteristic
30C2×Dic43⋊C8C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063250C2211yescharacteristic
33C2×#13063248C2211yescharacteristic
34C2×#13063248C2211yescharacteristic
35C2×#13063247C2211yescharacteristic
36C2×#13063247C2211yescharacteristic
37C2×#13063245C2211yescharacteristic
38C2×#13063245C2211yescharacteristic
39C2×C22⋊(C43⋊C8)C2211yescharacteristic
40C2×#13063235C2211yescharacteristic
41C2×C8×Dic43C2211yescharacteristic
42#14582793—21no—
43#14582787—21no—
44#14582784—21no—
45#14582782—21no—
46#14582768C2211yescharacteristic
47#14582764C2211yescharacteristic
48#14582759C2211yescharacteristic
49C4⋊C4×Dic43C2211yescharacteristic
50C4⋊C4×Dic43C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C22×C4⋊C4×C43C2211yescharacteristic
56C2×C22⋊C8×C43C2211yescharacteristic
57C43×#380C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C2×#10621898—22no—
63C2×#10621898—22no—
64C2×#10621898—22no—
65C2×#10621898—22no—
66C2×#10621898—22no—
67C2×#10621898C2×C414yes—
68C22×Dic86C2311yescharacteristic
69C22×D172C2311yescharacteristic
70C22×C22⋊D43—21no—
71C22×C4×D43—21no—
72C22×C4×D43—21no—
73C22×C4×D43—21no—
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76#13063290—22no—
77#13063290—22no—
78#13063290C2×C414yes—
79#13063290C2×C414yes—
80#13063287—22no—
81#13063287—22no—
82#13063287C2×C414yes—
83#13063287C2×C414yes—
84C4×C22⋊D43—28no—
85C4×C22⋊D43—28no—
86#13063284C2×C414yes—
87#13063284D414yes—
88#13063283—28no—
89C2×C4⋊Dic43D411yescharacteristic
90C2×C4⋊Dic43D411yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×Dic43⋊C4—21no—
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4—21no—
97C4⋊C4×D43—28no—
98C2×C22⋊Dic43—21no—
99C2×C22⋊Dic43D411yescharacteristic
100C2×C22⋊Dic43D411yescharacteristic
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×C4×Dic43—21no—
104C2×C4×Dic43—21no—
105C2×C4×Dic43—21no—
106C2×C4×Dic43—21no—
107C2×C4×Dic43C2311yescharacteristic
108C2×C4×Dic43C2311yescharacteristic
109Dic43⋊C8—22no—
110Dic43⋊C8—22no—
111#13063250—22no—
112#13063250—22no—
113#13063248—22no—
114#13063248—22no—
115#13063247—22no—
116#13063247—22no—
117#13063245—22no—
118#13063245—22no—
119C22⋊(C43⋊C8)—22no—
120#13063235—22no—
121C8×Dic43—22no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C43⋊#95—21no—
127C23×C4×C43—21no—
128C23×C4×C43C2311yescharacteristic
129C22×C8×C43C2311yescharacteristic
130C22×C8×C43C2311yescharacteristic
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43—22no—
133C2×C4⋊C4×C43C2×C414yes—
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C4⋊C4×C43C2311yescharacteristic
138C2×C22⋊C4×C43—21no—
139C22⋊C8×C43—22no—
140#95×C43—21no—
141C24×C43C2×D411yescharacteristic
142C23×D43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—24no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—81no—
153C22×C4×C43—81no—
154C22×C4×C43C22×C412yes—
155C22×C4×C43C2×D412yes—
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2411yescharacteristic
158C2×C22⋊D43—24no—
159C2×C22⋊D43—24no—
160C2×C22⋊D43—24no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43C2×D411yescharacteristic
165C22×Dic43C2×D411yescharacteristic
166C22×Dic43C2×D411yescharacteristic
167C22×Dic43C2×D411yescharacteristic
168#10621898—28no—
169#10621898—28no—
170#10621898—28no—
171#10621898—28no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172C22×C412yes—
176C2×D172#4112yes—
177C2×D172#4112yes—
178C2×C4×D43—24no—
179C2×C4×D43—24no—
180C2×C4×D43—24no—
181C2×C4×D43—24no—
182C2×C4×D43—24no—
183C2×C4×D43—81no—
184C2×C4×D43—81no—
185C2×C4×D43—81no—
186C2×C4×D43—81no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86C22×C412yes—
191C2×Dic86#4112yes—
192C2×Dic86#4112yes—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C4⋊C4×C43—24no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43C22×C412yes—
207C4⋊C4×C43C22×C412yes—
208C22⋊C4×C43—81no—
209C22⋊Dic43—81no—
210C22⋊Dic43C22⋊C414yes—
211C22⋊Dic43C22⋊C414yes—
212(C2×D43)⋊C4—24no—
213(C2×D43)⋊C4—24no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43C22⋊C414yes—
219C4⋊Dic43C22⋊C414yes—
220Dic43⋊C4—24no—
221Dic43⋊C4—24no—
222Dic43⋊C4—81no—
223Dic43⋊C4—81no—
224C4×Dic43—24no—
225C4×Dic43—24no—
226C4×Dic43—81no—
227C4×Dic43—81no—
228C4×Dic43C22×C412yes—
229C4×Dic43C22×C412yes—
230C4×Dic43C2×D412yes—
231C4×Dic43C2×D412yes—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43C2×C22⋊C412yes—
245C23×C43C22×D411yescharacteristic
246C22×D43—22no—
247C22×D43—22no—
248C22×D43—22no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
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×C43C2×C22⋊C412yes—
273C2×C4×C43C23×C411yescharacteristic
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C22⋊D43—216no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43C2×C22⋊C412yes—
298C2×Dic43C2×C22⋊C412yes—
299C2×Dic43C2×C22⋊C412yes—
300C2×Dic43C2×C22⋊C412yes—
301D172—22no—
302D172—22no—
303D172—22no—
304D172#11714yes—
305C4×D43—216no—
306C4×D43—84no—
307C4×D43—84no—
308Dic86—22no—
309Dic86—22no—
310Dic86—22no—
311Dic86#11714yes—
312C8×C43—41no—
313C8×C43—41no—
314C43⋊C8—41no—
315C43⋊C8—41no—
316#20746—431nomaximal, Sylow
317C22×C43—22no—
318C22×C43—22no—
319C22×C43—22no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43—41no—
323C22×C43—41no—
324C22×C43C22×C22⋊C411yescharacteristic
325C22×C43#52511yescharacteristic
326C22×C43#52511yescharacteristic
327C22×C43#57611yescharacteristic
328C22×C43#57711yescharacteristic
329C22×C43#57711yescharacteristic
330C22×C43#57811yescharacteristic
331C2×D43—24no—
332C2×D43—42no—
333C2×D43—42no—
334C2×D43—42no—
335C2×D43—42no—
336C2×D43—42no—
337C2×D43—42no—
338C4×C43—22no—
339C4×C43—42no—
340C4×C43—42no—
341C4×C43—81no—
342C4×C43—81no—
343C4×C43C2×#11711yescharacteristic
344C4×C43C2×#11711yescharacteristic
345C4×C43#52511yescharacteristic
346C4×C43#52511yescharacteristic
347Dic43—22no—
348Dic43—22no—
349Dic43—22no—
350Dic43—22no—
351Dic43—24no—
352Dic43—81no—
353Dic43—81no—
354C2×#520—431no—
355C2×#433—431no—
356#2314—431no—
357#1824D4311yescharacteristic, complemented
358#1823—431no—
359#1805—431no—
360#1804—431no—
361#1803—431no—
362#1802—431no—
363#1788—431no—
364#1788—431no—
365#1763—431no—
366#1762—431no—
367C4×#103—431no—
368C4×#102—431no—
369C2×C43—42no—
370C2×C43#228011yescharacteristic
371C2×C43#289711yescharacteristic
372C2×C43#289811yescharacteristic
373C2×C43#311911yescharacteristic
374C2×C43#312011yescharacteristic
375C2×C43#312411yescharacteristic
376C2×C43#312511yescharacteristic
377D43—44no—
378C22×#41—431no—
379#520—438no—
380#520—864no—
381C2×C4×Q8—431no—
382C2×C4×Q8—431no—
383C2×C4×D4—431no—
384C2×C4×D4—431no—
385C2×C4×D4—861no—
386C2×C4×D4—861no—
387C2×#117—431no—
388C2×#117—861no—
389C22×C4⋊C4—861no—
390C22×C4⋊C4C2×D4311yescharacteristic
391#433—864no—
392C2×C4⋊C8—431no—
393C2×C4⋊C8—431no—
394C2×#103—431no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×#102—431no—
399C2×#102—431no—
400C2×#102—431no—
401C2×#102—431no—
402C2×C22⋊C8—431no—
403C2×C22⋊C8C2×D4311yescharacteristic
404C2×#97—431no—
405C2×C4×C8—431no—
406#388—861no—
407#388—861no—
408#387—861no—
409#387—861no—
410#384—431no—
411#382—431no—
412#380—431no—
413#380C2×D4311yescharacteristic
414C4×C4⋊C4—431no—
415C4×C4⋊C4—431no—
416#340—431no—
417#340—431no—
418#340—431no—
419#340—431no—
420#340C2×D4311yescharacteristic
421#340C2×D4311yescharacteristic
422#340C2×D4311yescharacteristic
423#340C2×D4311yescharacteristic
424C43#2074611yescharacteristic, complemented, Sylow
425C2×#41—434no—
426C2×#41—862no—
427C2×#41—862no—
428C2×#41—862no—
429C2×#41—862no—
430C2×#41—862no—
431C22×Q8—431no—
432C22×D4—431no—
433C22×D4—861no—
434C23×C4—21no—
435C23×C4—861no—
436C23×C4—861no—
437C23×C4—861no—
438C23×C4C22×D4311yescharacteristic
439C22×C8—431no—
440C22×C8—431no—
441C22×C8C22×D4311yescharacteristic
442C22×C8C22×D4311yescharacteristic
443C4×Q8—434no—
444C4×Q8—434no—
445C4×Q8—862no—
446C4×Q8—862no—
447C4×D4—434no—
448C4×D4—434no—
449C4×D4—862no—
450C4×D4—862no—
451C4×D4—868no—
452C4×D4—868no—
453#117—434no—
454#117—434no—
455#117—868no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—22no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—868no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4C4×D4314yes—
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C4⋊C4C22×D4311yescharacteristic
470C2×C4⋊C4C22×D4311yescharacteristic
471C2×C4⋊C4C22×D4311yescharacteristic
472C2×C22⋊C4—21no—
473C2×C22⋊C4—431no—
474C2×C22⋊C4—431no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C42—431no—
479C2×C42—431no—
480C2×C42—861no—
481C2×C42—861no—
482C2×C42—861no—
483C2×C42—861no—
484C4⋊C8—862no—
485C4⋊C8—862no—
486#103—862no—
487#103—862no—
488#103—862no—
489#103—862no—
490#102—862no—
491#102—862no—
492#102—862no—
493#102—862no—
494C22⋊C8—22no—
495C22⋊C8—862no—
496#97—862no—
497C4×C8—862no—
498#95—21no—
499#95—861no—
500#95—861no—
501#95—861no—
502#95—861no—
503#95—861no—
504C24—861no—
505C24D4×D4311yescharacteristic
506#41—868no—
507#41—868no—
508#41—868no—
509#41—868no—
510C2×Q8—432no—
511C2×Q8—432no—
512C2×Q8—432no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—861no—
516C2×D4—432no—
517C2×D4—432no—
518C2×D4—432no—
519C2×D4—864no—
520C2×D4—864no—
521C2×D4—864no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—81no—
535C22×C4—81no—
536C22×C4—431no—
537C22×C4—431no—
538C22×C4—431no—
539C22×C4—431no—
540C22×C4—864no—
541C22×C4—864no—
542C22×C4—864no—
543C22×C4—864no—
544C22×C4—861no—
545C22×C4—864no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—3441no—
549C22×C4—3441no—
550C22×C4—3441no—
551C22×C4—3441no—
552C22×C4C2×C4×D4312yes—
553C22×C4D4×D4311yescharacteristic
554C22×C4D4×D4312yes—
555C22×C4C23×D4311yescharacteristic
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—861no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C4⋊C4—24no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—434no—
576C4⋊C4—434no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—3441no—
584C4⋊C4—3441no—
585C4⋊C4C2×C4×D4312yes—
586C4⋊C4C2×C4×D4312yes—
587C22⋊C4—81no—
588C22⋊C4—434no—
589C22⋊C4—434no—
590C22⋊C4—864no—
591C22⋊C4—864no—
592C22⋊C4—3441no—
593C42—432no—
594C42—432no—
595C42—432no—
596C42—432no—
597C42—864no—
598C42—864no—
599C42—3441no—
600C42—3441no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—862no—
608C23—862no—
609C23—862no—
610C23—1721no—
611C23—1721no—
612C23—1721no—
613C23—1721no—
614C23C22⋊C4×D4312yes—
615C23C2×D4×D4311yescharacteristic
616Q8—434no—
617Q8—862no—
618Q8—862no—
619Q8—862no—
620D4—434no—
621D4—8616no—
622D4—862no—
623D4—862no—
624D4—862no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—84no—
644C2×C4—432no—
645C2×C4—432no—
646C2×C4—432no—
647C2×C4—432no—
648C2×C4—8616no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—862no—
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—3444no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4C22⋊C4×D4312yes—
669C2×C4C22×C4×D4311yescharacteristic
670C2×C4C2×D4×D4311yescharacteristic
671C2×C4#41×D4311yescharacteristic
672C2×C4#41×D4311yescharacteristic
673C2×C4#41×D4311yescharacteristic
674C2×C4#41×D4311yescharacteristic
675C8—41no—
676C8—41no—
677C8—1721no—
678C8—1721no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—864no—
687C22—1722no—
688C22—1722no—
689C22—1722no—
690C22—1722no—
691C22—1722no—
692C22—1722no—
693C22C2×C22⋊C4×D4311yescharacteristic
694C22#1458340711yescharacteristic
695C22#1458340711yescharacteristic
696C22#1458370311yescharacteristic
697C22#1458370511yescharacteristic
698C22#1458370911yescharacteristic
699C22#1458371211yescharacteristic
700C4—22no—
701C4—42no—
702C4—42no—
703C4—81no—
704C4—81no—
705C4—864no—
706C4—862no—
707C4—862no—
708C4—862no—
709C4—862no—
710C4—3441no—
711C4—3441no—
712C4#117×D4311yescharacteristic
713C4#117×D4311yescharacteristic
714C4#1458340711yescharacteristic
715C4#1458340711yescharacteristic
716C2—42no—
717C2—1724no—
718C2#1913697511yescharacteristic
719C2#1914312011yescharacteristic
720C2#1914312311yescharacteristic
721C2#1914478911yescharacteristic
722C2#1914480411yescharacteristic
723C2#1914486011yescharacteristic
724C2#1914487511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1824C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
cosocleC22×C4×C43C24
hypercenter#1824D43
hypocenterC43#20746
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1824

Complements

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

NH ≅ G/Ntype
2. C2×#14582957C2semidirect
3. #19137202C2semidirect
4. #19134681C2semidirect
5. #19134609C2semidirect
6. #19134604C2semidirect
7. #19134599C2semidirect
8. #19134594C2semidirect
11. #19134424C2semidirect
12. #19134419C2semidirect
13. #19134414C2semidirect
14. #19134409C2semidirect
15. C43×#1824C2semidirect
18. #14583380C4semidirect
357. #1824D43semidirect
424. C43#20746semidirect

Maximal subgroups

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

subgroupindex
C2×#145833802
C2×#145829572
#191372022
#191346812
#191346092
#191346042
#191345992
#191345942
#191345362
#191345332
#191344242
#191344192
#191344142
#191344092
C43×#18242
#2074643