Finite Group Databasebeta

← #25073030

Subgroups — #25073030

Order 11008.

932 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19145336C211yesmaximal, characteristic, complemented
2#19144757C211yesmaximal, characteristic, complemented
3#19144392C211yesmaximal, characteristic, complemented
4#19133879C211yesmaximal, characteristic, complemented
5#19133865C211yesmaximal, characteristic, complemented
6#19133823C211yesmaximal, characteristic, complemented
7#19133809C211yesmaximal, characteristic, complemented
8#19133767C211yesmaximal, characteristic, complemented
9#19133746C211yesmaximal, characteristic, complemented
10#19133740C211yesmaximal, characteristic, complemented
11#19133729C211yesmaximal, characteristic, complemented
12#19133325C211yesmaximal, characteristic, complemented
13#19133038C211yesmaximal, characteristic, complemented
14#19133034C211yesmaximal, characteristic, complemented
15C43×#3475C211yesmaximal, characteristic
16#14583456C2211yescharacteristic
17#14583295C2211yescharacteristic, complemented
18#14583278C2211yescharacteristic, complemented
19#14583251C2211yescharacteristic, complemented
20#14583249C2211yescharacteristic, complemented
21#14583240—21no—
22#14583199—21no—
23#14583199—21no—
24#14583194C2211yescharacteristic, complemented
25#14583189C2211yescharacteristic
26#14583189C2211yescharacteristic
27#14583189C2211yescharacteristic, complemented
28#14583179C2211yescharacteristic
29#14583179C2211yescharacteristic
30#14583155—22no—
31#14583109C2211yescharacteristic, complemented
32#14583104C2211yescharacteristic, complemented
33#14583061—21no—
34#14583004—21no—
35#14583004—22no—
36#14582999—21no—
37#14582956C2211yescharacteristic
38#14582939—21no—
39#14582923C2211yescharacteristic
40#14582904—21no—
41C4×#10621877C2211yescharacteristic
42#14582648C2211yescharacteristic, complemented
43#14582648C2211yescharacteristic, complemented
44#14582645C2211yescharacteristic, complemented
45#14582645C2211yescharacteristic, complemented
46Q8⋊(C43⋊C8)C2211yescharacteristic, complemented
47Q8⋊(C43⋊C8)C2211yescharacteristic, complemented
48D4⋊(C43⋊C8)C2211yescharacteristic
49D4⋊(C43⋊C8)C2211yescharacteristic
50D4⋊(C43⋊C8)C2211yescharacteristic
51D4⋊(C43⋊C8)C2211yescharacteristic
52D4⋊(C43⋊C8)C2211yescharacteristic, complemented
53D4⋊(C43⋊C8)C2211yescharacteristic, complemented
54C43×#556C2211yescharacteristic
55C43×#555C2211yescharacteristic
56C43×#554C2211yescharacteristic
57C43×#553—21no—
58C43×#552—21no—
59C43×#552—21no—
60C43×#551—22no—
61C43×#547C2211yescharacteristic
62C43×#546—21no—
63C43×#533C2211yescharacteristic
64C43×#529—22no—
65C43×#529—21no—
66C43×#525—21no—
67C4×#41×C43—21no—
68C4×#41×C43C2211yescharacteristic
69C2×C4×D4×C43C2211yescharacteristic
70C2×#117×C43—21no—
71C2×#10621885—21no—
72C2×#10621885—22no—
73C2×#10621883—21no—
74C2×#10621877—21no—
75C2×#10621877—21no—
76#13063325C2311yescharacteristic
77#13063325C2311yescharacteristic
78#13063317—21no—
79#13063304—21no—
80#13063304—21no—
81C4×Dic86—21no—
82C4×Dic86—21no—
83#13063284—21no—
84#13063258—21no—
85#13063258—21no—
86#13063258—21no—
87#13063256—22no—
88#13063256—21no—
89#13063256—21no—
90#13063256—21no—
91C4⋊(C43⋊C8)—21no—
92C4⋊(C43⋊C8)C2311yescharacteristic
93C4⋊(C43⋊C8)C2311yescharacteristic
94C4⋊(C43⋊C8)C2311yescharacteristic
95C4⋊(C43⋊C8)C2311yescharacteristic
96#13063249—21no—
97#13063249—22no—
98#13063248—21no—
99#13063248—21no—
100#13063248—22no—
101#13063246—21no—
102#13063246—21no—
103#13063246—21no—
104#13063246—21no—
105#13063246—21no—
106C22⋊(C43⋊C8)—21no—
107#13063236—21no—
108#13063236—21no—
109C4×C43⋊C8C2311yescharacteristic
110C4×C43⋊C8C2311yescharacteristic
111C2×#41×C43—21no—
112C2×#41×C43D411yescharacteristic
113C22×D4×C43D411yescharacteristic
114C23×C4×C43—21no—
115C4⋊Q8×C43C2311yescharacteristic
116C4⋊Q8×C43C2311yescharacteristic
117#126×C43—22no—
118#126×C43—22no—
119#126×C43—22no—
120#125×C43—22no—
121#125×C43—21no—
122#125×C43—21no—
123#124×C43—22no—
124#124×C43—21no—
125#123×C43—22no—
126#123×C43—22no—
127#123×C43—22no—
128#123×C43—22no—
129C22⋊Q8×C43—21no—
130C22⋊Q8×C43—21no—
131C22⋊Q8×C43—22no—
132C22⋊Q8×C43—21no—
133C22⋊Q8×C43—21no—
134C22⋊Q8×C43D412yes—
135#121×C43—22no—
136#121×C43—21no—
137#121×C43—21no—
138#121×C43—21no—
139#120×C43—22no—
140C4×Q8×C43—21no—
141C4×Q8×C43—21no—
142C4×Q8×C43D411yescharacteristic
143C4×Q8×C43D412yes—
144C4×Q8×C43C2311yescharacteristic
145C4×D4×C43—22no—
146C4×D4×C43—22no—
147C4×D4×C43—22no—
148C4×D4×C43—21no—
149C4×D4×C43—21no—
150C4×D4×C43—21no—
151C4×D4×C43—21no—
152C4×D4×C43—21no—
153C4×D4×C43D411yescharacteristic
154C4×D4×C43D411yescharacteristic
155C4×D4×C43D411yescharacteristic
156C4×D4×C43C2311yescharacteristic
157C4×D4×C43C2311yescharacteristic
158C4×D4×C43C2311yescharacteristic
159#117×C43—22no—
160#117×C43—22no—
161#117×C43—22no—
162#117×C43—21no—
163#117×C43—21no—
164#117×C43—21no—
165#117×C43—21no—
166#117×C43—21no—
167#117×C43D411yescharacteristic
168C2×C4⋊C4×C43—21no—
169C2×C4⋊C4×C43—21no—
170C2×C4⋊C4×C43D411yescharacteristic
171C2×C22⋊C4×C43—22no—
172C2×C22⋊C4×C43—21no—
173C2×C42×C43—22no—
174C2×C42×C43—21no—
175C2×C42×C43C2311yescharacteristic
176C24×C43—21no—
177#41×C43—41no—
178#41×C43—41no—
179#41×C43—42no—
180#41×C43—42no—
181C2×Q8×C43—21no—
182C2×Q8×C43C2×D411yescharacteristic
183C2×Q8×C43C2×D412yes—
184C2×D4×C43—22no—
185C2×D4×C43—22no—
186C2×D4×C43—21no—
187C2×D4×C43—21no—
188C2×D4×C43—22no—
189C2×D4×C43—41no—
190C2×D4×C43C2×D411yescharacteristic
191C2×D4×C43C2×D411yescharacteristic
192C2×D4×C43C2×D411yescharacteristic
193C22×C4×C43—22no—
194C22×C4×C43—22no—
195C22×C4×C43—21no—
196C22×C4×C43—21no—
197C22×C4×C43—21no—
198C22×C4×C43—21no—
199C22×C4×C43—21no—
200C22×C4×C43—21no—
201C22×C4×C43—21no—
202C22×C4×C43—21no—
203C22×C4×C43—42no—
204C22×C4×C43—42no—
205C22×C4×C43C2×D411yescharacteristic
206C22×C4×C43C2×D411yescharacteristic
207C22×C4×C43C2×D411yescharacteristic
208C2×Dic86—21no—
209C2×Dic86—21no—
210C4⋊C4×C43—22no—
211C4⋊C4×C43—22no—
212C4⋊C4×C43—22no—
213C4⋊C4×C43—22no—
214C4⋊C4×C43—21no—
215C4⋊C4×C43—22no—
216C4⋊C4×C43—21no—
217C4⋊C4×C43—22no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43—21no—
220C4⋊C4×C43—21no—
221C4⋊C4×C43—21no—
222C4⋊C4×C43C2×D411yescharacteristic
223C4⋊C4×C43C2×D411yescharacteristic
224C4⋊C4×C43C2×D411yescharacteristic
225C4⋊C4×C43C2×D411yescharacteristic
226C4⋊C4×C43C2×D412yes—
227C22⋊C4×C43—22no—
228C22⋊C4×C43—22no—
229C22⋊C4×C43—22no—
230C22⋊C4×C43—22no—
231C22⋊C4×C43—22no—
232C22⋊C4×C43—22no—
233C22⋊C4×C43—21no—
234C22⋊C4×C43—21no—
235C22⋊C4×C43—21no—
236C22⋊C4×C43—21no—
237C22⋊C4×C43—21no—
238C22⋊C4×C43—21no—
239C22⋊C4×C43—21no—
240C22⋊C4×C43—22no—
241C42×C43—22no—
242C42×C43—22no—
243C42×C43—21no—
244C42×C43—22no—
245C42×C43—21no—
246C42×C43—21no—
247C42×C43C2×D411yescharacteristic
248C42×C43C2×D411yescharacteristic
249C42×C43C2×D411yescharacteristic
250C42×C43C2411yescharacteristic
251C22⋊Dic43—41no—
252#10621885—44no—
253#10621885—42no—
254#10621883—42no—
255C4⋊Dic43—21no—
256C4⋊Dic43—21no—
257C4⋊Dic43—21no—
258C4⋊Dic43—21no—
259Dic43⋊C4—41no—
260Dic43⋊C4—41no—
261C4×Dic43—41no—
262#10621877—42no—
263#10621877—42no—
264C2×C43⋊C8—21no—
265C2×C43⋊C8—21no—
266C2×C43⋊C8—21no—
267C2×C43⋊C8—21no—
268C2×C43⋊C8—21no—
269C2×C43⋊C8—21no—
270C23×C43—21no—
271C23×C43—21no—
272C23×C43—21no—
273C23×C43—42no—
274C23×C43—42no—
275C23×C43—81no—
276C23×C43#12011yescharacteristic
277Q8×C43—21no—
278Q8×C43—21no—
279Q8×C43—42no—
280Q8×C43—41no—
281Q8×C43—41no—
282D4×C43—21no—
283D4×C43—21no—
284D4×C43—21no—
285D4×C43—21no—
286D4×C43—21no—
287D4×C43—42no—
288D4×C43—42no—
289D4×C43—44no—
290D4×C43—82no—
291D4×C43#13712yes—
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—21no—
300C2×C4×C43—22no—
301C2×C4×C43—22no—
302C2×C4×C43—21no—
303C2×C4×C43—41no—
304C2×C4×C43—42no—
305C2×C4×C43—42no—
306C2×C4×C43—42no—
307C2×C4×C43—42no—
308C2×C4×C43—44no—
309C2×C4×C43—41no—
310C2×C4×C43—41no—
311C2×C4×C43—41no—
312C2×C4×C43—41no—
313C2×C4×C43—41no—
314C2×C4×C43—41no—
315C2×C4×C43—81no—
316C2×C4×C43—82no—
317C2×C4×C43#12011yescharacteristic
318C2×C4×C43#12011yescharacteristic
319C2×C4×C43#12011yescharacteristic
320C2×C4×C43C22×D411yescharacteristic
321C2×C4×C43C22×D411yescharacteristic
322C2×C4×C43C22×D411yescharacteristic
323C2×Dic43—41no—
324C2×Dic43—41no—
325Dic86—42no—
326Dic86—41no—
327Dic86—41no—
328C43⋊C8—22no—
329C43⋊C8—41no—
330C43⋊C8—41no—
331C43⋊C8—41no—
332C43⋊C8—41no—
333C43⋊C8—41no—
334#18561—431nomaximal, Sylow
335C22×C43—21no—
336C22×C43—22no—
337C22×C43—21no—
338C22×C43—21no—
339C22×C43—41no—
340C22×C43—41no—
341C22×C43—41no—
342C22×C43—41no—
343C22×C43—41no—
344C22×C43—41no—
345C22×C43—41no—
346C22×C43—41no—
347C22×C43—84no—
348C22×C43C2×#12011yescharacteristic
349C4×C43—21no—
350C4×C43—21no—
351C4×C43—21no—
352C4×C43—21no—
353C4×C43—41no—
354C4×C43—41no—
355C4×C43—41no—
356C4×C43—41no—
357C4×C43—42no—
358C4×C43—41no—
359C4×C43—42no—
360C4×C43C2×#13711yescharacteristic
361C4×C43#57511yescharacteristic
362C4×C43#57511yescharacteristic
363C4×C43#57511yescharacteristic
364Dic43—81no—
365Dic43—81no—
366#3475D4311yescharacteristic
367#3185—431no—
368#3116—431no—
369#3077—431no—
370#1654—431no—
371#1652—431no—
372#1646—431no—
373#1644—431no—
374#1638—431no—
375#1635—431no—
376#1634—431no—
377#1632—431no—
378#1559—431no—
379#1490—431no—
380#1489—431no—
381C2×C43—41no—
382C2×C43—42no—
383C2×C43—81no—
384C2×C43—81no—
385C2×C43#300511yescharacteristic
386C2×C43#300711yescharacteristic
387C2×C43#301811yescharacteristic
388#556C2×D4311yescharacteristic
389#555C2×D4311yescharacteristic
390#554C2×D4311yescharacteristic
391#553—21no—
392#552—21no—
393#552—21no—
394#551—22no—
395#547C2×D4311yescharacteristic
396#546—21no—
397#533—431no—
398#533C2×D4311yescharacteristic
399#529—22no—
400#529—21no—
401#525—21no—
402C4×#41—21no—
403C4×#41C2×D4311yescharacteristic
404C2×C4×D4C2×D4311yescharacteristic
405C2×#117—21no—
406#498—431no—
407#494—431no—
408#487—431no—
409#487—431no—
410#485—861no—
411#478—861no—
412#478—861no—
413#477—431no—
414#476—431no—
415#476—431no—
416#476—431no—
417#474—431no—
418#474—431no—
419#470—862no—
420#462—431no—
421#461—431no—
422#452—861no—
423#441—861no—
424#441—862no—
425#440—861no—
426#432—431no—
427#428—861no—
428#423—431no—
429#418—861no—
430C4×M16—431no—
431#333—431no—
432#333—431no—
433#332—431no—
434#332—431no—
435Q8⋊C8—431no—
436Q8⋊C8—431no—
437D4⋊C8—431no—
438D4⋊C8—431no—
439D4⋊C8—431no—
440D4⋊C8—431no—
441D4⋊C8—431no—
442D4⋊C8—431no—
443C43#1856111yescharacteristic, complemented, Sylow
444C2×#41—21no—
445C2×#41C22⋊D4311yescharacteristic
446C22×D4C22⋊D4311yescharacteristic
447C23×C4—21no—
448C2×Q16—861no—
449C2×Q16—862no—
450C2×SD16—861no—
451C2×M16—861no—
452C2×M16—861no—
453C4⋊Q8—431no—
454C4⋊Q8—431no—
455C4⋊Q8C22×D4311yescharacteristic
456C4⋊Q8C22×D4311yescharacteristic
457#126—22no—
458#126—22no—
459#126—22no—
460#125—22no—
461#125—21no—
462#125—21no—
463#125—861no—
464#124—22no—
465#124—21no—
466#123—22no—
467#123—22no—
468#123—22no—
469#123—22no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—22no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475C22⋊Q8—861no—
476C22⋊Q8—861no—
477C22⋊Q8C22⋊D4312yes—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—21no—
482#120—22no—
483C4×Q8—21no—
484C4×Q8—21no—
485C4×Q8—861no—
486C4×Q8—861no—
487C4×Q8C22⋊D4311yescharacteristic
488C4×Q8C22⋊D4312yes—
489C4×Q8C22×D4311yescharacteristic
490C4×D4—22no—
491C4×D4—22no—
492C4×D4—22no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4C22⋊D4311yescharacteristic
499C4×D4C22⋊D4311yescharacteristic
500C4×D4C22⋊D4311yescharacteristic
501C4×D4C22×D4311yescharacteristic
502C4×D4C22×D4311yescharacteristic
503C4×D4C22×D4311yescharacteristic
504#117—22no—
505#117—22no—
506#117—22no—
507#117—21no—
508#117—21no—
509#117—21no—
510#117—21no—
511#117—21no—
512#117—861no—
513#117C22⋊D4311yescharacteristic
514C2×C4⋊C4—21no—
515C2×C4⋊C4—21no—
516C2×C4⋊C4C22⋊D4311yescharacteristic
517C2×C22⋊C4—22no—
518C2×C22⋊C4—21no—
519C2×C42—22no—
520C2×C42—21no—
521C2×C42C22×D4311yescharacteristic
522#107—861no—
523#107—861no—
524#107—861no—
525#106—861no—
526#106—861no—
527#106—862no—
528#106—861no—
529C4⋊C8—431no—
530C4⋊C8—431no—
531C4⋊C8—431no—
532C4⋊C8—431no—
533C4⋊C8—861no—
534#103—861no—
535#103—862no—
536#103—861no—
537#103—861no—
538#103—862no—
539#102—861no—
540#102—861no—
541#102—861no—
542#102—861no—
543#102—861no—
544C22⋊C8—861no—
545#97—861no—
546#97—861no—
547C4×C8—431no—
548C4×C8—431no—
549C24—21no—
550#41—41no—
551#41—41no—
552#41—42no—
553#41—42no—
554C2×Q8—21no—
555C2×Q8—861no—
556C2×Q8—861no—
557C2×Q8C2×C22⋊D4311yescharacteristic
558C2×Q8C2×C22⋊D4312yes—
559C2×D4—22no—
560C2×D4—22no—
561C2×D4—21no—
562C2×D4—22no—
563C2×D4—21no—
564C2×D4—41no—
565C2×D4C2×C22⋊D4311yescharacteristic
566C2×D4C2×C22⋊D4311yescharacteristic
567C2×D4C2×C22⋊D4311yescharacteristic
568C22×C4—22no—
569C22×C4—21no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—42no—
579C22×C4—42no—
580C22×C4C2×C22⋊D4311yescharacteristic
581C22×C4C2×C22⋊D4311yescharacteristic
582C22×C4C2×C22⋊D4311yescharacteristic
583Q16—1724no—
584Q16—1722no—
585SD16—1722no—
586M16—1722no—
587M16—1722no—
588C2×C8—861no—
589C2×C8—861no—
590C2×C8—861no—
591C2×C8—861no—
592C2×C8—861no—
593C2×C8—861no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—21no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—861no—
607C4⋊C4—861no—
608C4⋊C4—861no—
609C4⋊C4—861no—
610C4⋊C4—1721no—
611C4⋊C4—1721no—
612C4⋊C4C2×C22⋊D4311yescharacteristic
613C4⋊C4C2×C22⋊D4312yes—
614C4⋊C4C2×C22⋊D4311yescharacteristic
615C4⋊C4C2×C22⋊D4311yescharacteristic
616C4⋊C4C2×C22⋊D4311yescharacteristic
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—22no—
623C22⋊C4—21no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C22⋊C4—21no—
631C22⋊C4—1721no—
632C42—22no—
633C42—22no—
634C42—21no—
635C42—22no—
636C42—21no—
637C42—21no—
638C42—1721no—
639C42C2×C22⋊D4311yescharacteristic
640C42C2×C22⋊D4311yescharacteristic
641C42C2×C22⋊D4311yescharacteristic
642C42C23×D4311yescharacteristic
643C23—21no—
644C23—21no—
645C23—21no—
646C23—42no—
647C23—42no—
648C23—81no—
649C23#1306329411yescharacteristic
650Q8—21no—
651Q8—21no—
652Q8—42no—
653Q8—41no—
654Q8—41no—
655Q8—1722no—
656Q8—1721no—
657Q8—1721no—
658D4—21no—
659D4—21no—
660D4—21no—
661D4—21no—
662D4—21no—
663D4—42no—
664D4—42no—
665D4—44no—
666D4—82no—
667D4#1306335512yes—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—1721no—
694C2×C4—1721no—
695C2×C4#1306329411yescharacteristic
696C2×C4#1306329411yescharacteristic
697C2×C4#1306329411yescharacteristic
698C2×C4C22×C22⋊D4311yescharacteristic
699C2×C4C22×C22⋊D4311yescharacteristic
700C2×C4C22×C22⋊D4311yescharacteristic
701C8—862no—
702C8—1721no—
703C8—1721no—
704C8—1721no—
705C8—1721no—
706C8—1721no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—22no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—84no—
720C22C2×#1306329411yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—41no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—41no—
730C4—41no—
731C4—42no—
732C4—3441no—
733C4—3441no—
734C4C2×#1306335511yescharacteristic
735C4#1458369711yescharacteristic
736C4#1458369711yescharacteristic
737C4#1458369711yescharacteristic
738C2—41no—
739C2—42no—
740C2—81no—
741C2—81no—
742C2#1914383711yescharacteristic
743C2#1914385511yescharacteristic
744C2#1914394411yescharacteristic
subgroupG/H
centerC22C2×#13063294
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
Fitting, prime radicalC43×#3475C2
socleC22×C43C2×#120
hypercenter#3475D43
hypocenterC43#18561
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. #19145336C2semidirect
2. #19144757C2semidirect
3. #19144392C2semidirect
4. #19133879C2semidirect
5. #19133865C2semidirect
6. #19133823C2semidirect
7. #19133809C2semidirect
8. #19133767C2semidirect
9. #19133746C2semidirect
10. #19133740C2semidirect
11. #19133729C2semidirect
12. #19133325C2semidirect
13. #19133038C2semidirect
14. #19133034C2semidirect
17. #14583295C22semidirect
18. #14583278C22semidirect
19. #14583251C22semidirect
20. #14583249C22semidirect
24. #14583194C22semidirect
27. #14583189C22semidirect
31. #14583109C22semidirect
32. #14583104C22semidirect
42. #14582648C22semidirect
43. #14582648C22semidirect
44. #14582645C22semidirect
45. #14582645C22semidirect
46. Q8⋊(C43⋊C8)C22semidirect
47. Q8⋊(C43⋊C8)C22semidirect
52. D4⋊(C43⋊C8)C22semidirect
53. D4⋊(C43⋊C8)C22semidirect
443. C43#18561semidirect

Maximal subgroups

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

subgroupindex
#191453362
#191447572
#191443922
#191338792
#191338652
#191338232
#191338092
#191337672
#191337462
#191337402
#191337292
#191333252
#191330382
#191330342
C43×#34752
#1856143