Finite Group Databasebeta

← #25107758

Subgroups — #25107758

Order 11008.

1012 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×#14583059C211yesmaximal, characteristic
2C22⋊Q8×Dic43C211yesmaximal, characteristic, complemented
3#19137083C211yesmaximal, characteristic
4#19135453C211yesmaximal, characteristic, complemented
5#19135446C211yesmaximal, characteristic, complemented
6#19135279C211yesmaximal, characteristic, complemented
7#19135272C211yesmaximal, characteristic, complemented
8#19135227C211yesmaximal, characteristic, complemented
9#19135213C211yesmaximal, characteristic, complemented
10#19134948C211yesmaximal, characteristic, complemented
11#19134934C211yesmaximal, characteristic, complemented
12#19134794C211yesmaximal, characteristic, complemented
13#19134536C211yesmaximal, characteristic
14C22⋊C8×Dic43C211yesmaximal, characteristic, complemented
15C43×#1873C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18C22×#10621884C2211yescharacteristic
19C2×Q8×Dic43C2211yescharacteristic
20C22×C4×Dic43C2211yescharacteristic
21#14583059C418yescomplemented
22C2×#13063258C2211yescharacteristic
23C2×#13063256C2211yescharacteristic
24C2×#13063250C2211yescharacteristic
25C2×#13063250C2211yescharacteristic
26C2×#13063248C2211yescharacteristic
27C2×#13063247C2211yescharacteristic
28C2×#13063247C2211yescharacteristic
29C2×#13063245C2211yescharacteristic
30C2×C22⋊(C43⋊C8)C2211yescharacteristic
31C2×C8×Dic43C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582806C2211yescharacteristic
34#14582804C2211yescharacteristic
35#14582804C2211yescharacteristic
36#14582800C2211yescharacteristic
37#14582800C2211yescharacteristic
38#14582798C2211yescharacteristic
39#14582785—21no—
40#14582776—21no—
41#14582776—21no—
42#14582774—21no—
43#14582759C2211yescharacteristic
44C4⋊C4×Dic43—21no—
45C4⋊C4×Dic43C2211yescharacteristic
46C22⋊C4×Dic43—21no—
47C4×(C2×D43)⋊C4—21no—
48C4×(C2×D43)⋊C4—21no—
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C2×C22⋊Q8×C43C2211yescharacteristic
54C2×#117×C43C2211yescharacteristic
55C2×#103×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×C22⋊C8×C43C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C2×#10621898—22no—
61C2×#10621898—41no—
62C2×#10621898—41no—
63C2×#10621898—41no—
64C2×#10621898—41no—
65C2×#10621898C2×C414yes—
66C22×Dic86C2311yescharacteristic
67C22×D172C2311yescharacteristic
68C22×C22⋊D43—21no—
69C23×Dic43D411yescharacteristic
70C23×Dic43D411yescharacteristic
71C22×C4×D43—21no—
72C2×#10621885—41no—
73C2×#10621885—41no—
74C2×#10621885C2×C414yescomplemented
75C2×#10621884—41no—
76C2×#10621884—41no—
77C2×#10621884C2×C414yescomplemented
78C22×C43⋊C8C2311yescharacteristic
79C22×C43⋊C8C2311yescharacteristic
80Q8×Dic43—41no—
81Q8×Dic43—41no—
82C2×C4⋊Dic43—21no—
83C2×C4⋊Dic43—21no—
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C22⋊Dic43—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×C4×Dic43—21no—
92C2×C4×Dic43—21no—
93C2×C4×Dic43—41no—
94C2×C4×Dic43—41no—
95C2×C4×Dic43D411yescharacteristic
96C2×C4×Dic43D411yescharacteristic
97C2×C4×Dic43C2311yescharacteristic
98C2×C4×Dic43C2311yescharacteristic
99#13063258—41no—
100#13063256—41no—
101#13063250—41no—
102#13063250—41no—
103#13063248C2×C414yescomplemented
104#13063247—41no—
105#13063247—41no—
106#13063245C2×C414yescomplemented
107C22⋊(C43⋊C8)C2×C414yes—
108C8×Dic43—41no—
109C8×Dic43—41no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C22×Q8×C43C2311yescharacteristic
120C23×C4×C43C2311yescharacteristic
121C22×C8×C43C2311yescharacteristic
122C22×C8×C43C2311yescharacteristic
123C22⋊Q8×C43—22no—
124C22⋊Q8×C43C2×C414yes—
125#117×C43—41no—
126#117×C43—41no—
127C2×C4⋊C4×C43—21no—
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C22⋊C4×C43—21no—
133C2×C42×C43—21no—
134#103×C43—41no—
135#103×C43—41no—
136C22⋊C8×C43—22no—
137C24×C43C2×D411yescharacteristic
138C23×D43—21no—
139C2×Q8×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43C22×C412yes—
145C22×C4×C43—21no—
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—21no—
153C22×C4×C43C22×C412yes—
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43#4112yes—
156C22×C4×C43C2411yescharacteristic
157C2×C22⋊D43—24no—
158C2×C22⋊D43—42no—
159C2×C22⋊D43—42no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—22no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—41no—
167C22×Dic43—41no—
168C22×Dic43—41no—
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C22×Dic43C2×D411yescharacteristic
173#10621898—44no—
174#10621898—44no—
175#10621898—44no—
176#10621898—44no—
177C2×D172—21no—
178C2×D172—21no—
179C2×D172—21no—
180C2×D172—21no—
181C2×D172—21no—
182C2×D172C22×C412yes—
183C2×C4×D43—24no—
184C2×C4×D43—42no—
185C2×C4×D43—42no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86C22×C412yes—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C4⋊C4×C43—24no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43C22×C412yes—
205C22⋊C4×C43—24no—
206C22⋊C4×C43—42no—
207C42×C43—42no—
208C22⋊Dic43—42no—
209#10621885—44no—
210#10621884—44no—
211(C2×D43)⋊C4—42no—
212(C2×D43)⋊C4—42no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—42no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—42no—
220C4⋊Dic43—42no—
221C4×Dic43—21no—
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43—21no—
225C4×Dic43—41no—
226C4×Dic43—41no—
227C4×Dic43—42no—
228C4×Dic43—42no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8C22×C412yes—
234C2×C43⋊C8C22×C412yes—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43C4×D412yes—
242C23×C43C22×D411yescharacteristic
243C22×D43—22no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250Q8×C43—22no—
251Q8×C43—22no—
252Q8×C43—41no—
253Q8×C43—41no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
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×C43C4×D412yes—
273C2×C4×C43C23×C411yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C2×C4×C43H(5,𝔽2)11yescharacteristic
277C2×C4×C43H(5,𝔽2)11yescharacteristic
278C2×C4×C43H(5,𝔽2)11yescharacteristic
279C22⋊D43—48no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—22no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—44no—
291C2×Dic43—44no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43#13512yes—
301C2×Dic43#13512yes—
302C2×Dic43#13712yes—
303D172—22no—
304D172—22no—
305D172—41no—
306D172—41no—
307C4×D43—48no—
308Dic86—22no—
309Dic86—22no—
310Dic86—41no—
311Dic86—41no—
312C8×C43—41no—
313C8×C43—41no—
314C43⋊C8—22no—
315C43⋊C8—22no—
316#22042—431nomaximal, Sylow
317C22×C43—22no—
318C22×C43—22no—
319C22×C43—22no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43—41no—
323C22×C43—41no—
324C22×C43C2×C4×D411yescharacteristic
325C22×C43#53411yescharacteristic
326C22×C43#53511yescharacteristic
327C22×C43C2×#13511yescharacteristic
328C22×C43C2×#13511yescharacteristic
329C22×C43C2×#13711yescharacteristic
330C22×C43#57511yescharacteristic
331C2×D43—42no—
332C2×D43—42no—
333C2×D43—42no—
334C2×D43—81no—
335C2×D43—81no—
336C2×D43—81no—
337C2×D43—81no—
338C4×C43—22no—
339C4×C43—42no—
340C4×C43—42no—
341C4×C43—81no—
342C4×C43—81no—
343C4×C43#51811yescharacteristic
344C4×C43#51811yescharacteristic
345C4×C43#53811yescharacteristic
346C4×C43#53811yescharacteristic
347Dic43—22no—
348Dic43—22no—
349Dic43—22no—
350Dic43—42no—
351Dic43—41no—
352Dic43—81no—
353Dic43—81no—
354C2×#452—431no—
355C4×C22⋊Q8—431no—
356#2297—431no—
357#1969—431no—
358#1968—431no—
359#1934—431no—
360#1933—431no—
361#1927—431no—
362#1925—431no—
363#1880—431no—
364#1878—431no—
365#1873D4311yescharacteristic, complemented
366#1854—431no—
367#1788—431no—
368C4×C22⋊C8—431no—
369C2×C43—42no—
370C2×C43#232111yescharacteristic
371C2×C43C4×#13511yescharacteristic
372C2×C43C4×#13711yescharacteristic
373C2×C43#319011yescharacteristic
374C2×C43#319111yescharacteristic
375C2×C43#321011yescharacteristic
376C2×C43#321211yescharacteristic
377D43—82no—
378C22×#41—431no—
379C22×Q16—431no—
380C22×SD16—431no—
381C2×C22⋊Q8C2×D4311yescharacteristic
382C2×C4×Q8—431no—
383C2×#117C2×D4311yescharacteristic
384C22×C42—431no—
385#452—438no—
386C2×#107—431no—
387C2×#106—431no—
388C2×#103—431no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103C2×D4311yescharacteristic
392C2×#103C2×D4311yescharacteristic
393C2×#102—431no—
394C2×#102—431no—
395C2×#102—431no—
396C2×C22⋊C8—431no—
397C2×C22⋊C8C2×D4311yescharacteristic
398C2×C4×C8—431no—
399C2×C4×C8—431no—
400#391—431no—
401#391—431no—
402#391—431no—
403#390—431no—
404#390—431no—
405#389—431no—
406#387—861no—
407#386—861no—
408#386—861no—
409#385—861no—
410#380—431no—
411C4×C4⋊C4—431no—
412C4×C4⋊C4—861no—
413C4×C22⋊C4—861no—
414C4×C22⋊C4—861no—
415C4×C22⋊C4—861no—
416#340—431no—
417#340—431no—
418#340C2×D4311yescharacteristic
419#340C2×D4311yescharacteristic
420#336—431no—
421#336—431no—
422C43#2204211yescharacteristic, complemented, Sylow
423C2×#41—434no—
424C2×#41—862no—
425C2×#41—1721no—
426C2×#41—1721no—
427C2×#41—1721no—
428C2×#41—1721no—
429C22×Q8—431no—
430C22×Q8C22×D4311yescharacteristic
431C22×D4—431no—
432C22×D4—861no—
433C23×C4—431no—
434C23×C4—431no—
435C23×C4—861no—
436C23×C4C22×D4311yescharacteristic
437C2×Q16—434no—
438C2×Q16—1721no—
439C2×Q16—1721no—
440C2×SD16—434no—
441C2×SD16—1721no—
442C2×SD16—1721no—
443C22×C8—431no—
444C22×C8—431no—
445C22×C8C22×D4311yescharacteristic
446C22×C8C22×D4311yescharacteristic
447C22⋊Q8—22no—
448C22⋊Q8C4×D4314yes—
449C4×Q8—1721no—
450C4×Q8—1721no—
451#117—41no—
452#117—41no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4C22×D4311yescharacteristic
459C2×C4⋊C4C22×D4311yescharacteristic
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C42—21no—
469C2×C42—431no—
470C2×C42—431no—
471C2×C42—431no—
472C2×C42—431no—
473C2×C42—861no—
474C2×C42—861no—
475C2×C42—1721no—
476C2×C42—1721no—
477#107—1721no—
478#106—1721no—
479#103—41no—
480#103—41no—
481#103—434no—
482#103—1721no—
483#103—1721no—
484#102—434no—
485#102—1721no—
486#102—1721no—
487C22⋊C8—22no—
488C22⋊C8—434no—
489C4×C8—1721no—
490C4×C8—1721no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499#95—861no—
500C24—861no—
501C24D4×D4311yescharacteristic
502#41—1724no—
503#41—1724no—
504#41—1724no—
505#41—1724no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—432no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—861no—
516C2×Q8—861no—
517C2×Q8C2×C4×D4312yes—
518C2×D4—432no—
519C2×D4—864no—
520C2×D4—861no—
521C2×D4—861no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C2×D4—1722no—
526C2×D4—1722no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—431no—
536C22×C4—431no—
537C22×C4—431no—
538C22×C4—431no—
539C22×C4—862no—
540C22×C4—862no—
541C22×C4—862no—
542C22×C4—861no—
543C22×C4—864no—
544C22×C4—861no—
545C22×C4—861no—
546C22×C4—1722no—
547C22×C4—1722no—
548C22×C4—1721no—
549C22×C4—1721no—
550C22×C4—1721no—
551C22×C4C2×C4×D4312yes—
552C22×C4D4×D4311yescharacteristic
553C22×C4#1062190012yes—
554C22×C4C23×D4311yescharacteristic
555Q16—1724no—
556SD16—1724no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—432no—
564C2×C8—432no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C4⋊C4—24no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—1722no—
580C4⋊C4—1722no—
581C4⋊C4C2×C4×D4312yes—
582C22⋊C4—24no—
583C22⋊C4—42no—
584C22⋊C4—1722no—
585C22⋊C4—1722no—
586C22⋊C4—1722no—
587C22⋊C4—1722no—
588C22⋊C4—1722no—
589C42—42no—
590C42—861no—
591C42—861no—
592C42—861no—
593C42—861no—
594C42—1721no—
595C42—1721no—
596C42—1722no—
597C42—1722no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—862no—
605C23—1721no—
606C23—1721no—
607C23—1721no—
608C23—1721no—
609C23—1721no—
610C23—1721no—
611C23(C22⋊D43)⋊C412yes—
612C23C2×D4×D4311yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—41no—
616Q8—41no—
617Q8—862no—
618Q8—862no—
619Q8—1721no—
620Q8—1721no—
621D4—862no—
622D4—862no—
623D4—1728no—
624D4—1721no—
625D4—1721no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
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—41no—
644C2×C4—432no—
645C2×C4—432no—
646C2×C4—432no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—862no—
654C2×C4—861no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—1728no—
658C2×C4—1724no—
659C2×C4—1724no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4(C22⋊D43)⋊C412yes—
669C2×C4C22×C4×D4311yescharacteristic
670C2×C4C2×#1062190011yescharacteristic
671C2×C4#1306337011yescharacteristic
672C2×C4#1306337011yescharacteristic
673C2×C4#1306337111yescharacteristic
674C2×C4#1306337111yescharacteristic
675C8—41no—
676C8—41no—
677C8—862no—
678C8—862no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—3441no—
687C22—3441no—
688C22—3441no—
689C22—3441no—
690C22—1722no—
691C22—1722no—
692C22—1722no—
693C22C2×(C22⋊D43)⋊C411yescharacteristic
694C22#1458346011yescharacteristic
695C22#1458346411yescharacteristic
696C22#135×D4311yescharacteristic
697C22#135×D4311yescharacteristic
698C22#137×D4311yescharacteristic
699C22#1458369811yescharacteristic
700C4—22no—
701C4—42no—
702C4—42no—
703C4—81no—
704C4—81no—
705C4—862no—
706C4—862no—
707C4—862no—
708C4—3441no—
709C4—3441no—
710C4—1721no—
711C4—1722no—
712C4#1458337111yescharacteristic
713C4#1458337111yescharacteristic
714C4#1458348611yescharacteristic
715C4#1458348611yescharacteristic
716C2—42no—
717C2—3442no—
718C2#1913725811yescharacteristic
719C2#1914336311yescharacteristic
720C2#1914341011yescharacteristic
721C2#1914538011yescharacteristic
722C2#1914539011yescharacteristic
723C2#1914554911yescharacteristic
724C2#1914557411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1873C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
cosocleC22×C4×C43C24
hypercenter#1873D43
hypocenterC43#22042
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1873

Complements

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

NH ≅ G/Ntype
2. C22⋊Q8×Dic43C2semidirect
4. #19135453C2semidirect
5. #19135446C2semidirect
6. #19135279C2semidirect
7. #19135272C2semidirect
8. #19135227C2semidirect
9. #19135213C2semidirect
10. #19134948C2semidirect
11. #19134934C2semidirect
12. #19134794C2semidirect
14. C22⋊C8×Dic43C2semidirect
15. C43×#1873C2semidirect
21. #14583059C4semidirect
74. C2×#10621885C2×C4semidirect
77. C2×#10621884C2×C4semidirect
103. #13063248C2×C4semidirect
106. #13063245C2×C4semidirect
365. #1873D43semidirect
422. C43#22042semidirect

Maximal subgroups

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

subgroupindex
C2×#145830592
C22⋊Q8×Dic432
#191370832
#191354532
#191354462
#191352792
#191352722
#191352272
#191352132
#191349482
#191349342
#191347942
#191345362
C22⋊C8×Dic432
C43×#18732
#2204243