Finite Group Databasebeta

← #25960580

Subgroups — #25960580

Order 11008.

2756 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
1C2×#14583664C211yesmaximal, characteristic, complemented
2C2×#131×D43C211yesmaximal, characteristic, complemented
3#41×D172C211yesmaximal, characteristic
4#19143341C213yesmaximal, complemented
5M16×D172C213yesmaximal, complemented
6#19143323C213yesmaximal, complemented
7#19143323C213yesmaximal, complemented
8#19143314C213yesmaximal, complemented
9#19143300C213yesmaximal, complemented
10#19143291C213yesmaximal, complemented
11C2×#14582972C213yesmaximal, complemented
12#19143163C211yesmaximal, characteristic, complemented
13#19143042C211yesmaximal, characteristic, complemented
14#19143042C211yesmaximal, characteristic, complemented
15C43×#2875C211yesmaximal, characteristic, complemented
16C2×#41×D43C2211yescharacteristic
17C2×#41×D43C2211yescharacteristic
18#14583664—28no—
19C2×#13063333C2213yescomplemented
20C2×#13063333C2213yescomplemented
21C2×#13063332C2211yescharacteristic
22C2×#13063332C2211yescharacteristic
23C2×#13063331C2213yescomplemented
24C2×#13063331C2213yescomplemented
25#131×D43—28no—
26C22×#10621872C2213yescomplemented
27C2×M16×D43C2213yescomplemented
28C2×M16×D43C2213yescomplemented
29C22×C8×D43C2213yescomplemented
30#14583571C411yescharacteristic
31Q8×D172C411yescharacteristic
32#14583561C411yescharacteristic
33#14583561C411yescharacteristic
34#14583553C413yes—
35#14583544C413yes—
36#14583544C413yes—
37D4×D172C413yes—
38#14583449C2213yes—
39#14583411C2213yes—
40#14583411C2213yes—
41C2×C4×D172C2213yes—
42#14582978C2216yescomplemented
43#14582978C2216yescomplemented
44#14582972C2211yescharacteristic
45#14582972C2213yes—
46#14582972C2213yescomplemented
47#14582972C2213yescomplemented
48#14582972C2213yescomplemented
49#14582972C2213yescomplemented
50#14582972C2213yescomplemented
51#14582972C2213yescomplemented
52#14582972C2216yescomplemented
53#14582972C2216yescomplemented
54#14582972C2216yescomplemented
55C8×D172C2216yescomplemented
56C8×D172C2216yescomplemented
57#14582926C2213yescomplemented
58#14582926C2213yescomplemented
59#14582923C2213yescomplemented
60C2×C4⋊(C43⋊C8)C2213yescomplemented
61#14582867C2213yescomplemented
62#14582867C2213yescomplemented
63#14582865C2213yescomplemented
64#14582865C2213yescomplemented
65#14582862C2213yescomplemented
66#14582862C2213yescomplemented
67C2×(C2×D43)⋊C8C2213yescomplemented
68C2×(C2×D43)⋊C8C2213yescomplemented
69C2×#131×C43C2211yescharacteristic
70C2×#131×C43C2211yescharacteristic
71C4×#41×C43C2211yescharacteristic
72C43×#405C2213yescomplemented
73C43×#405C2213yescomplemented
74C4×M16×C43C2213yescomplemented
75C2×#97×C43C2213yescomplemented
76C2×#10621902C2×C411yescharacteristic
77C2×#10621902C2×C411yescharacteristic
78C2×#10621898C2313yes—
79C2×#10621898C2313yes—
80C2×#10621900C2×C413yes—
81C2×#10621900C2×C413yes—
82#41×D43—24no—
83#41×D43—24no—
84#41×D43—24no—
85#41×D43—24no—
86C2×Q8×D43C2×C411yescharacteristic
87C2×Q8×D43C2×C411yescharacteristic
88C22×D172C2×C413yes—
89C2×D4×D43C2×C413yes—
90C2×D4×D43C2×C413yes—
91C22×C4×D43C2313yes—
92C22×C4×D43C2313yes—
93#13063333—212no—
94#13063333—212no—
95#13063332—24no—
96#13063332—24no—
97#13063331—212no—
98#13063331—212no—
99C2×#10621877C2313yes—
100C2×#10621877C2313yes—
101C2×#10621872—212no—
102C2×#10621872C2313yes—
103C2×#10621872C2316yes—
104C2×#10621872C2311yescharacteristic
105C2×#10621872C2313yes—
106C2×#10621872C2313yes—
107M16×D43—212no—
108M16×D43—212no—
109C22×C43⋊C8C2313yes—
110C22×C43⋊C8C2313yes—
111C2×C8×D43—212no—
112C2×C8×D43C2311yescharacteristic
113C2×C8×D43C2313yes—
114C2×C8×D43C2313yes—
115C2×C8×D43C2313yes—
116C2×C8×D43C2316yes—
117#13063325C2×C413yes—
118#13063322C2×C413yes—
119#13063313C2×C413yes—
120#13063313C2×C413yes—
121#13063309C2×C416yes—
122#13063309C2×C416yes—
123#13063305C2×C413yes—
124#13063305C2×C413yes—
125#13063305C2×C413yes—
126#13063305C2×C413yes—
127#13063300C2×C413yes—
128#13063300C2×C413yes—
129#13063300C2×C413yes—
130#13063300C2×C413yes—
131#13063299C2×C416yes—
132#13063299C2×C416yes—
133#13063295C2×C416yes—
134#13063295C2×C416yes—
135C4×D172C2×C413yes—
136C4×D172C2×C413yes—
137C4×D172C2×C413yes—
138C4×D172C2×C413yes—
139C4×D172C2311yescharacteristic
140C4×D172C2313yes—
141C4×D172C2313yes—
142C4×D172C2313yes—
143C4×D172C2316yes—
144C2×C4⋊Dic43C2×C413yes—
145C2×(C2×D43)⋊C4C2×C413yes—
146C2×(C2×D43)⋊C4C2×C413yes—
147C4⋊(C43⋊C8)C2311yescharacteristic
148C4⋊(C43⋊C8)C2313yes—
149C4⋊(C43⋊C8)C2313yes—
150C4⋊(C43⋊C8)C2313yes—
151C4⋊(C43⋊C8)C2316yes—
152(C2×D43)⋊C8C2311yescharacteristic
153(C2×D43)⋊C8C2311yescharacteristic
154(C2×D43)⋊C8C2313yes—
155(C2×D43)⋊C8C2313yes—
156(C2×D43)⋊C8C2313yes—
157(C2×D43)⋊C8C2313yes—
158(C2×D43)⋊C8C2313yes—
159(C2×D43)⋊C8C2313yes—
160(C2×D43)⋊C8C2316yes—
161(C2×D43)⋊C8C2316yes—
162C2×#41×C43C2311yescharacteristic
163#131×C43—24no—
164#131×C43D418yescomplemented
165C2×M16×C43C2313yes—
166C2×M16×C43C2313yes—
167C22×C8×C43C2313yes—
168C22×C8×C43C2313yes—
169C4×Q8×C43C2×C411yescharacteristic
170C4×Q8×C43C2×C411yescharacteristic
171C4×D4×C43C2×C413yes—
172C4×D4×C43C2×C413yes—
173#117×C43C2313yes—
174C2×C42×C43C2313yes—
175#97×C43C2311yescharacteristic
176#97×C43C2313yes—
177#97×C43C2313yes—
178#97×C43C2313yes—
179C4×C8×C43C2316yes—
180C23×D43C22×C413yes—
181C23×D43C22×C413yes—
182#41×C43C2×D414yes—
183#41×C43#4114yes—
184C2×Q8×C43C22×C411yescharacteristic
185C2×D4×C43C22×C413yes—
186C22×C4×C43C22×C413yes—
187C22×C4×C43C22×C413yes—
188C22×C4×C43C2413yes—
189C2×C22⋊D43C22×C416yes—
190C2×C22⋊D43C22×C416yes—
191C22×Dic43C22×C413yes—
192C22×Dic43C22×C413yes—
193#10621902—24no—
194#10621902—24no—
195Q8×D43—24no—
196Q8×D43—24no—
197#10621900—212no—
198#10621900—212no—
199D4×D43—212no—
200D4×D43—212no—
201#10621898—26no—
202#10621898—26no—
203#10621898—26no—
204#10621898—26no—
205C2×D172—46no—
206C2×D172C22×C411yescharacteristic
207C2×D172C22×C413yes—
208C2×D172C22×C413yes—
209C2×D172C22×C413yes—
210C2×D172C22×C413yes—
211C2×D172C22×C413yes—
212C2×D172C22×C416yes—
213C2×C4×D43—26no—
214C2×C4×D43—26no—
215C2×C4×D43—26no—
216C2×C4×D43—26no—
217C2×C4×D43C22×C413yes—
218C2×C4×D43C22×C413yes—
219C2×C4×D43C22×C413yes—
220C2×C4×D43C22×C413yes—
221C2×C4×D43C2411yescharacteristic
222C2×C4×D43C2413yes—
223C2×C4×D43C2413yes—
224C2×C4×D43C2411yescharacteristic
225C2×Dic86C22×C413yes—
226C2×Dic86C22×C413yes—
227M16×C43—26no—
228M16×C43C2×D4112yescomplemented
229C2×C8×C43—26no—
230C2×C8×C43C2×D4112yescomplemented
231C2×C8×C43C2413yes—
232C2×C8×C43C2411yescharacteristic
233C2×C8×C43C2413yes—
234C2×C8×C43C2411yescharacteristic
235C4⋊C4×C43C22×C413yes—
236C4⋊C4×C43C22×C413yes—
237C22⋊C4×C43C22×C416yes—
238C42×C43C22×C413yes—
239C42×C43C22×C413yes—
240C42×C43C2413yes—
241C42×C43C2411yescharacteristic
242(C2×D43)⋊C4C22×C411yescharacteristic
243(C2×D43)⋊C4C22×C411yescharacteristic
244(C2×D43)⋊C4C22×C413yes—
245(C2×D43)⋊C4C22×C413yes—
246(C2×D43)⋊C4C22×C413yes—
247(C2×D43)⋊C4C22×C413yes—
248(C2×D43)⋊C4C22×C413yes—
249(C2×D43)⋊C4C22×C413yes—
250(C2×D43)⋊C4C22×C416yes—
251(C2×D43)⋊C4C22×C416yes—
252C4⋊Dic43C22×C411yescharacteristic
253C4⋊Dic43C22×C413yes—
254C4⋊Dic43C22×C413yes—
255C4⋊Dic43C22×C413yes—
256C4⋊Dic43C22×C416yes—
257#10621877—26no—
258#10621877—26no—
259C2×C43⋊C8—26no—
260C2×C43⋊C8—26no—
261C2×C43⋊C8C2411yescharacteristic
262C2×C43⋊C8C2413yes—
263C2×C43⋊C8C2413yes—
264C2×C43⋊C8C2411yescharacteristic
265#10621872—26no—
266#10621872—212no—
267#10621872—22no—
268#10621872—26no—
269#10621872—26no—
270C8×D43—22no—
271C8×D43—26no—
272C8×D43—26no—
273C8×D43—26no—
274C8×D43—212no—
275C23×C43C23×C413yes—
276C22×D43—26no—
277C22×D43—26no—
278C22×D43—26no—
279C22×D43—43no—
280C22×D43—43no—
281C22×D43—43no—
282C22×D43C23×C411yescharacteristic
283C22×D43C23×C413yes—
284C22×D43C23×C413yes—
285C22×D43C23×C411yescharacteristic
286Q8×C43C4×D414yes—
287D4×C43C4×D4112yes—
288C2×C4×C43—43no—
289C2×C4×C43—43no—
290C2×C4×C43C23×C411yescharacteristic
291C2×C4×C43C23×C413yes—
292C2×C4×C43C23×C413yes—
293C2×C4×C43C23×C411yescharacteristic
294C2×C4×C43C23×C413yes—
295C2×C4×C43C22×D416yes—
296C2×C4×C43C2×#4116yes—
297C2×C4×C43C2511yescharacteristic
298C22⋊D43—212no—
299C22⋊D43—212no—
300C2×Dic43—26no—
301C2×Dic43—26no—
302C2×Dic43C23×C413yes—
303C2×Dic43C23×C413yes—
304C2×Dic43C23×C411yescharacteristic
305C2×Dic43C23×C411yescharacteristic
306D172—22no—
307D172—26no—
308D172—26no—
309D172—26no—
310D172—43no—
311D172—43no—
312D172—46no—
313C4×D43—26no—
314C4×D43—26no—
315C4×D43—26no—
316C4×D43—26no—
317C4×D43—21no—
318C4×D43—23no—
319C4×D43—23no—
320C4×D43—21no—
321C4×D43—21no—
322C4×D43—21no—
323C4×D43—23no—
324C4×D43—23no—
325Dic86—26no—
326Dic86—26no—
327C8×C43—21no—
328C8×C43—23no—
329C8×C43C22×D412yes—
330C8×C43C22×D416yes—
331C43⋊C8—21no—
332C43⋊C8—23no—
333C43⋊C8—23no—
334C43⋊C8—21no—
335#60146—431nomaximal, Sylow
336C22×C43—23no—
337C22×C43—23no—
338C22×C43C2×C4×D416yes—
339C22×C43C24×C411yescharacteristic
340C2×D43—21no—
341C2×D43—21no—
342C2×D43—21no—
343C2×D43—23no—
344C2×D43—23no—
345C2×D43—23no—
346C2×D43—21no—
347C2×D43—23no—
348C2×D43—21no—
349C2×D43—23no—
350C2×D43—23no—
351C2×D43—412no—
352C2×D43—86no—
353C2×D43#56812yescomplemented
354C4×C43—21no—
355C4×C43—23no—
356C4×C43—23no—
357C4×C43—21no—
358C4×C43C2×C4×D416yes—
359C4×C43C23×D411yescharacteristic
360C4×C43C22×#4111yescharacteristic
361Dic43—23no—
362Dic43—23no—
363Dic43—21no—
364Dic43—21no—
365C2×#568—431no—
366C22×#131—431no—
367D4×#41—431no—
368#2935—433no—
369D4×M16—433no—
370#2933—433no—
371#2933—433no—
372#2932—433no—
373#2930—433no—
374#2929—433no—
375C2×#435—433no—
376#2906—431no—
377#2880—431no—
378#2880—431no—
379#2875D4311yescharacteristic, complemented
380C2×C43—26no—
381C2×C43C22×C4×D411yescharacteristic
382C2×C43C2×#56811yescharacteristic
383C2×C43#357311yescharacteristic
384D43—22no—
385D43—43no—
386D43—43no—
387D43—41no—
388C22×#41—431no—
389C22×#41—431no—
390#568—868no—
391C2×#131—431no—
392C2×#131—431no—
393C2×#131—433no—
394C2×#131—433no—
395C2×#131—433no—
396C2×#131—433no—
397C2×#131—868no—
398C2×#131C2×D4311yescharacteristic
399C2×#131C2×D4311yescharacteristic
400C22×M16—433no—
401C22×M16—433no—
402C22×M16—433no—
403C23×C8—433no—
404#550—431no—
405D4×Q8—431no—
406#548—431no—
407#548—431no—
408#547—433no—
409#546—433no—
410#546—433no—
411D42—433no—
412#532—433no—
413#525—433no—
414#525—433no—
415C4×#41C2×D4311yescharacteristic
416C2×C4×D4—433no—
417#436—436no—
418#436—436no—
419#435—431no—
420#435—433no—
421#435—433no—
422#435—433no—
423#435—433no—
424#435—433no—
425#435—433no—
426#435—433no—
427#435—436no—
428#435—436no—
429#435—436no—
430C8×D4—436no—
431C8×D4—436no—
432#424—433no—
433#424—433no—
434#423—433no—
435C2×C4⋊C8—433no—
436#408—433no—
437#408—433no—
438#408—433no—
439#408—433no—
440#407—433no—
441#407—433no—
442C2×C22⋊C8—433no—
443C2×C22⋊C8—433no—
444#405C2×D4313yescomplemented
445#405C2×D4313yescomplemented
446C4×M16C2×D4313yescomplemented
447C2×#97C2×D4313yescomplemented
448C43#6014611yescharacteristic, complemented, Sylow
449C2×#41—431no—
450C2×#41—431no—
451C2×#41—433no—
452C2×#41—433no—
453C2×#41—433no—
454C2×#41—433no—
455C2×#41—864no—
456C2×#41—864no—
457C2×#41—864no—
458C2×#41—864no—
459C2×#41C22×D4311yescharacteristic
460C22×Q8—431no—
461C22×Q8—431no—
462C22×D4—433no—
463C22×D4—433no—
464C22×D4—433no—
465C23×C4—433no—
466C23×C4—433no—
467#131—24no—
468#131—864no—
469#131—864no—
470#131—8612no—
471#131—8612no—
472#131—8612no—
473#131—8612no—
474#131D17218yescomplemented
475C2×M16—433no—
476C2×M16—433no—
477C2×M16—431no—
478C2×M16—433no—
479C2×M16—433no—
480C2×M16—436no—
481C2×M16—433no—
482C2×M16—8612no—
483C2×M16—8612no—
484C2×M16—8612no—
485C2×M16C22×D4313yes—
486C2×M16C22×D4313yes—
487C22×C8—433no—
488C22×C8—433no—
489C22×C8—431no—
490C22×C8—433no—
491C22×C8—433no—
492C22×C8—433no—
493C22×C8—436no—
494C22×C8—8612no—
495C22×C8C22×D4313yes—
496C22×C8C22×D4313yes—
497C4⋊Q8—433no—
498#127—433no—
499#124—433no—
500#124—433no—
501#123—436no—
502#123—436no—
503C22⋊Q8—433no—
504C22⋊Q8—433no—
505C22⋊Q8—433no—
506C22⋊Q8—433no—
507#121—436no—
508#121—436no—
509#121—433no—
510#121—433no—
511#121—433no—
512#121—433no—
513#120—436no—
514#120—436no—
515C4×Q8C4×D4311yescharacteristic
516C4×Q8C4×D4311yescharacteristic
517C4×D4—433no—
518C4×D4—433no—
519C4×D4—433no—
520C4×D4—433no—
521C4×D4—431no—
522C4×D4—433no—
523C4×D4—433no—
524C4×D4—433no—
525C4×D4—436no—
526C4×D4C4×D4313yes—
527C4×D4C4×D4313yes—
528#117C22×D4313yes—
529C2×C4⋊C4—433no—
530C2×C22⋊C4—433no—
531C2×C22⋊C4—433no—
532C2×C42C22×D4313yes—
533C4⋊C8—431no—
534C4⋊C8—433no—
535C4⋊C8—433no—
536C4⋊C8—433no—
537C4⋊C8—436no—
538C22⋊C8—431no—
539C22⋊C8—431no—
540C22⋊C8—433no—
541C22⋊C8—433no—
542C22⋊C8—433no—
543C22⋊C8—433no—
544C22⋊C8—433no—
545C22⋊C8—433no—
546C22⋊C8—436no—
547C22⋊C8—436no—
548#97C22×D4311yescharacteristic
549#97C22×D4313yes—
550#97C22×D4313yes—
551#97C22×D4313yes—
552C4×C8C22×D4316yes—
553C24—433no—
554C24—433no—
555#41—864no—
556#41—864no—
557#41—8612no—
558#41—8612no—
559#41—866no—
560#41—866no—
561#41—866no—
562#41—866no—
563#41C2×D17214yes—
564#41#1062189814yes—
565C2×Q8—433no—
566C2×Q8—433no—
567C2×Q8—864no—
568C2×Q8—864no—
569C2×Q8C2×C4×D4311yescharacteristic
570C2×D4—436no—
571C2×D4—436no—
572C2×D4—431no—
573C2×D4—433no—
574C2×D4—433no—
575C2×D4—433no—
576C2×D4—433no—
577C2×D4—433no—
578C2×D4—436no—
579C2×D4—8612no—
580C2×D4—8612no—
581C2×D4—1726no—
582C2×D4C2×C4×D4313yes—
583C22×C4—433no—
584C22×C4—433no—
585C22×C4—433no—
586C22×C4—433no—
587C22×C4—433no—
588C22×C4—433no—
589C22×C4—431no—
590C22×C4—433no—
591C22×C4—433no—
592C22×C4—431no—
593C22×C4—866no—
594C22×C4—866no—
595C22×C4—866no—
596C22×C4—866no—
597C22×C4C2×C4×D4313yes—
598C22×C4C2×C4×D4313yes—
599C22×C4C23×D4313yes—
600M16—26no—
601M16—866no—
602M16—866no—
603M16—862no—
604M16—866no—
605M16—866no—
606M16—8612no—
607M16—866no—
608M16C2×D172112yescomplemented
609C2×C8—26no—
610C2×C8—431no—
611C2×C8—431no—
612C2×C8—433no—
613C2×C8—433no—
614C2×C8—866no—
615C2×C8—866no—
616C2×C8—862no—
617C2×C8—866no—
618C2×C8—866no—
619C2×C8—866no—
620C2×C8—8612no—
621C2×C8C2×D172112yescomplemented
622C2×C8C23×D4313yes—
623C2×C8C23×D4311yescharacteristic
624C2×C8C23×D4313yes—
625C2×C8C23×D4311yescharacteristic
626C4⋊C4—431no—
627C4⋊C4—433no—
628C4⋊C4—433no—
629C4⋊C4—433no—
630C4⋊C4—436no—
631C4⋊C4C2×C4×D4313yes—
632C4⋊C4C2×C4×D4313yes—
633C22⋊C4—431no—
634C22⋊C4—431no—
635C22⋊C4—433no—
636C22⋊C4—433no—
637C22⋊C4—433no—
638C22⋊C4—433no—
639C22⋊C4—433no—
640C22⋊C4—433no—
641C22⋊C4—436no—
642C22⋊C4—436no—
643C22⋊C4C2×C4×D4316yes—
644C42C2×C4×D4313yes—
645C42C2×C4×D4313yes—
646C42C23×D4313yes—
647C42C23×D4311yescharacteristic
648C23—431no—
649C23—431no—
650C23—433no—
651C23—433no—
652C23—866no—
653C23—866no—
654C23—866no—
655C23—1723no—
656C23—1723no—
657C23—1723no—
658C23C22×C4×D4313yes—
659Q8—866no—
660Q8—866no—
661Q8C4×D17214yes—
662D4—862no—
663D4—866no—
664D4—8612no—
665D4—8612no—
666D4—866no—
667D4—866no—
668D4—1723no—
669D4—1723no—
670D4—1726no—
671D4C4×D172112yes—
672C2×C4—43no—
673C2×C4—43no—
674C2×C4—431no—
675C2×C4—431no—
676C2×C4—433no—
677C2×C4—433no—
678C2×C4—866no—
679C2×C4—866no—
680C2×C4—866no—
681C2×C4—866no—
682C2×C4—866no—
683C2×C4—866no—
684C2×C4—861no—
685C2×C4—863no—
686C2×C4—863no—
687C2×C4—861no—
688C2×C4—861no—
689C2×C4—861no—
690C2×C4—863no—
691C2×C4—863no—
692C2×C4C22×C4×D4311yescharacteristic
693C2×C4C22×C4×D4311yescharacteristic
694C2×C4C22×C4×D4313yes—
695C2×C4C22×C4×D4313yes—
696C2×C4C22×C4×D4313yes—
697C2×C4C22×D17216yes—
698C2×C4C2×#1062189816yes—
699C2×C4C24×D4311yescharacteristic
700C8—21no—
701C8—23no—
702C8—861no—
703C8—863no—
704C8—861no—
705C8—863no—
706C8C22×D17212yes—
707C8C22×D17216yes—
708C22—23no—
709C22—23no—
710C22—432no—
711C22—861no—
712C22—861no—
713C22—861no—
714C22—863no—
715C22—863no—
716C22—861no—
717C22—863no—
718C22—863no—
719C22—863no—
720C22—863no—
721C22—861no—
722C22—3446no—
723C22—17212no—
724C22C2×C4×D17216yes—
725C22C23×C4×D4311yescharacteristic
726C4—21no—
727C4—23no—
728C4—21no—
729C4—23no—
730C4—861no—
731C4—861no—
732C4—863no—
733C4—863no—
734C4C2×C4×D17216yes—
735C4C23×D17211yescharacteristic
736C4C22×#1062189811yescharacteristic
737C2—26no—
738C2—862no—
739C2—1721no—
740C2—1723no—
741C2—1723no—
742C2C22×C4×D17211yescharacteristic
743C2#568×D4311yescharacteristic
744C2#1914930811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2875C2
prime radical#41×D172C2
cosocleC2×C4×C43C25
hypercenter#2875D43
hypocenterC43#60146
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2875

Complements

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

NH ≅ G/Ntype
1. C2×#14583664C2semidirect
2. C2×#131×D43C2semidirect
4. #19143341C2semidirect
5. M16×D172C2semidirect
6. #19143323C2semidirect
7. #19143323C2semidirect
8. #19143314C2semidirect
9. #19143300C2semidirect
10. #19143291C2semidirect
11. C2×#14582972C2semidirect
12. #19143163C2semidirect
13. #19143042C2semidirect
14. #19143042C2semidirect
15. C43×#2875C2semidirect
19. C2×#13063333C22semidirect
20. C2×#13063333C22semidirect
23. C2×#13063331C22semidirect
24. C2×#13063331C22semidirect
26. C22×#10621872C22semidirect
27. C2×M16×D43C22semidirect
28. C2×M16×D43C22semidirect
29. C22×C8×D43C22semidirect
42. #14582978C22semidirect
43. #14582978C22semidirect
46. #14582972C22semidirect
47. #14582972C22semidirect
48. #14582972C22semidirect
49. #14582972C22semidirect
50. #14582972C22semidirect
51. #14582972C22semidirect
52. #14582972C22semidirect
53. #14582972C22semidirect
54. #14582972C22semidirect
55. C8×D172C22semidirect
56. C8×D172C22semidirect
57. #14582926C22semidirect
58. #14582926C22semidirect
59. #14582923C22semidirect
60. C2×C4⋊(C43⋊C8)C22semidirect
61. #14582867C22semidirect
62. #14582867C22semidirect
63. #14582865C22semidirect
64. #14582865C22semidirect
65. #14582862C22semidirect
66. #14582862C22semidirect
67. C2×(C2×D43)⋊C8C22semidirect
68. C2×(C2×D43)⋊C8C22semidirect
72. C43×#405C22semidirect
73. C43×#405C22semidirect
74. C4×M16×C43C22semidirect
75. C2×#97×C43C22semidirect
164. #131×C43D4semidirect
228. M16×C43C2×D4semidirect
230. C2×C8×C43C2×D4semidirect
353. C2×D43#568semidirect
379. #2875D43semidirect
444. #405C2×D43semidirect
445. #405C2×D43semidirect
446. C4×M16C2×D43semidirect
447. C2×#97C2×D43semidirect
448. C43#60146semidirect
474. #131D172semidirect
608. M16C2×D172semidirect
621. C2×C8C2×D172semidirect

Maximal subgroups

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

subgroupindex
C2×#145836642
C2×#131×D432
#41×D1722
#191433412
M16×D1722
#191433232
#191433142
#191433002
#191432912
C2×#145829722
#191431632
#191430422
C43×#28752
#6014643