Finite Group Databasebeta

← #25140446

Subgroups — #25140446

Order 11008.

1014 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583044C211yesmaximal, characteristic
2C2×#14582984C211yesmaximal, characteristic, complemented
3#19138089C211yesmaximal, characteristic, complemented
4#19137436C211yesmaximal, characteristic, complemented
5#19136114C211yesmaximal, characteristic, complemented
6#19136031C211yesmaximal, characteristic, complemented
7#19135904C211yesmaximal, characteristic, complemented
8#19135778C211yesmaximal, characteristic, complemented
9#19135280C211yesmaximal, characteristic, complemented
10#19135204C211yesmaximal, characteristic, complemented
11#19134948C211yesmaximal, characteristic, complemented
12#19134940C211yesmaximal, characteristic, complemented
13#19134851C211yesmaximal, characteristic, complemented
14#19134608C211yesmaximal, characteristic, complemented
15C43×#1788C211yesmaximal, characteristic, complemented
16C22×#10621884C2211yescharacteristic
17C22×#10621882C2211yescharacteristic
18C2×#13063299C2211yescharacteristic
19C2×Q8×Dic43C2211yescharacteristic
20C2×Q8×Dic43C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22#14583044—24no—
23#14582984—24no—
24C2×#13063259C2211yescharacteristic
25C2×#13063256C2211yescharacteristic
26C2×Dic43⋊C8C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063247C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×C22⋊(C43⋊C8)C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582826—21no—
34#14582815—21no—
35#14582802—21no—
36#14582802—21no—
37#14582802C2211yescharacteristic
38#14582802C2211yescharacteristic
39#14582800C2211yescharacteristic
40#14582798C2211yescharacteristic
41#14582775—21no—
42#14582764C2211yescharacteristic
43#14582761—21no—
44#14582759—21no—
45#14582759C2211yescharacteristic
46C4×C22⋊Dic43—21no—
47C4×C22⋊Dic43C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54C22×#41×C43C2211yescharacteristic
55C2×#103×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×C22⋊C8×C43C2211yescharacteristic
60C43×#380C2211yescharacteristic
61C22×D172C2311yescharacteristic
62C22×C22⋊D43—21no—
63C22×C4×D43—21no—
64C2×#10621884—22no—
65C2×#10621884—22no—
66C2×#10621884D414yes—
67C2×#10621882—22no—
68C2×#10621882—22no—
69C2×#10621882—41no—
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72#13063299—22no—
73#13063299—41no—
74Q8×Dic43—22no—
75Q8×Dic43—22no—
76Q8×Dic43—41no—
77Q8×Dic43—41no—
78#13063287—22no—
79#13063287—41no—
80C2×C4⋊Dic43—21no—
81C2×C4⋊Dic43—21no—
82C2×C4⋊Dic43—21no—
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43D411yescharacteristic
92C2×C22⋊Dic43D411yescharacteristic
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×C4×Dic43—21no—
98C2×C4×Dic43—21no—
99C2×C4×Dic43C2311yescharacteristic
100C2×C4×Dic43C2311yescharacteristic
101#13063259—41no—
102#13063256—22no—
103Dic43⋊C8—41no—
104#13063249—22no—
105#13063247—22no—
106#13063247—41no—
107#13063246—22no—
108C22⋊(C43⋊C8)—22no—
109C8×Dic43—22no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95D411yescharacteristic
115C43⋊#95D411yescharacteristic
116C2×#41×C43—22no—
117C2×#41×C43—22no—
118C2×#41×C43—22no—
119C2×#41×C43—22no—
120C2×#41×C43—41no—
121C2×#41×C43—41no—
122C22×Q8×C43C2311yescharacteristic
123C22×D4×C43—21no—
124C22×D4×C43C2311yescharacteristic
125C23×C4×C43—21no—
126C23×C4×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C22×C8×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132#103×C43—22no—
133#103×C43—22no—
134#102×C43—22no—
135#102×C43—41no—
136C22⋊C8×C43—41no—
137#95×C43—21no—
138C24×C43—21no—
139C24×C43C2×D411yescharacteristic
140C23×D43—21no—
141#41×C43—44no—
142#41×C43—44no—
143#41×C43—44no—
144#41×C43—44no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43C2×D412yes—
149C2×Q8×C43#4112yes—
150C2×Q8×C43#4112yes—
151C2×D4×C43—24no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—42no—
158C2×D4×C43—42no—
159C2×D4×C43#4112yes—
160C22×C4×C43—24no—
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43—42no—
171C22×C4×C43—42no—
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2411yescharacteristic
174C2×C22⋊D43—42no—
175C2×C22⋊D43—42no—
176C2×C22⋊D43—81no—
177C22×Dic43—21no—
178C22×Dic43—21no—
179C22×Dic43—21no—
180C22×Dic43C2×D411yescharacteristic
181C22×Dic43C2×D411yescharacteristic
182C22×Dic43C2×D411yescharacteristic
183C22×Dic43C2×D411yescharacteristic
184C2×D172—21no—
185C2×D172—21no—
186C2×D172—21no—
187C2×D172—21no—
188C2×D172—21no—
189C2×D172C2×D412yes—
190C2×C4×D43—42no—
191C2×C4×D43—42no—
192C2×C4×D43—81no—
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—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C22⋊C4×C43—81no—
204C22⋊Dic43—22no—
205C22⋊Dic43—41no—
206C22⋊Dic43—42no—
207C22⋊Dic43—42no—
208C22⋊Dic43—81no—
209C22⋊Dic43—81no—
210C22⋊Dic43—81no—
211#10621884—28no—
212#10621882—44no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—81no—
216(C2×D43)⋊C4—81no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—42no—
224C4⋊Dic43—42no—
225C4⋊Dic43—81no—
226C4×Dic43—21no—
227C4×Dic43—21no—
228C4×Dic43—21no—
229C4×Dic43—21no—
230C4×Dic43—42no—
231C4×Dic43—42no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8C2×D412yes—
238C23×C43—21no—
239C23×C43—22no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43—21no—
245C23×C43—21no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43C22×D411yescharacteristic
253C22×D43—22no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43—41no—
257C22×D43—41no—
258C22×D43—41no—
259C22×D43—41no—
260Q8×C43—22no—
261Q8×C43—22no—
262Q8×C43—22no—
263Q8×C43#12314yes—
264D4×C43—22no—
265D4×C43—22no—
266D4×C43—48no—
267D4×C43—41no—
268D4×C43—41no—
269C2×C4×C43—22no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—21no—
275C2×C4×C43—48no—
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×C43—41no—
284C2×C4×C43—41no—
285C2×C4×C43—41no—
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C2×#4111yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C2×C4×C43H(5,𝔽2)11yescharacteristic
291C2×C4×C43H(5,𝔽2)11yescharacteristic
292C22⋊D43—84no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—21no—
299C2×Dic43—21no—
300C2×Dic43—21no—
301C2×Dic43—21no—
302C2×Dic43—21no—
303C2×Dic43—21no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—41no—
308C2×Dic43—41no—
309C2×Dic43—41no—
310C2×Dic43—41no—
311C2×Dic43—41no—
312C2×Dic43—41no—
313C2×Dic43#13512yes—
314D172—22no—
315D172—22no—
316D172—41no—
317D172—41no—
318C4×D43—84no—
319C8×C43—41no—
320C8×C43—41no—
321C43⋊C8—22no—
322C43⋊C8—41no—
323#24900—431nomaximal, Sylow
324C22×C43—41no—
325C22×C43—42no—
326C22×C43—41no—
327C22×C43—42no—
328C22×C43—41no—
329C22×C43—42no—
330C22×C43—41no—
331C22×C43—41no—
332C22×C43—41no—
333C22×C43—41no—
334C22×C43—81no—
335C22×C43—81no—
336C22×C43—81no—
337C22×C43—81no—
338C22×C43#52511yescharacteristic
339C22×C43D4211yescharacteristic
340C22×C43#54611yescharacteristic
341C22×C43C2×#13511yescharacteristic
342C22×C43#57511yescharacteristic
343C22×C43#57611yescharacteristic
344C22×C43#57711yescharacteristic
345C2×D43—42no—
346C2×D43—42no—
347C2×D43—42no—
348C2×D43—81no—
349C2×D43—81no—
350C2×D43—81no—
351C2×D43—81no—
352C4×C43—24no—
353C4×C43—41no—
354C4×C43—81no—
355C4×C43—81no—
356C4×C43C2×#12311yescharacteristic
357C4×C43#53811yescharacteristic
358C4×C43#54611yescharacteristic
359C4×C43#55111yescharacteristic
360Dic43—22no—
361Dic43—41no—
362Dic43—41no—
363Dic43—41no—
364Dic43—81no—
365Dic43—81no—
366Dic43—81no—
367C2×#449—431no—
368C2×C4×SD16—431no—
369#2420—431no—
370#2341—431no—
371#2092—431no—
372#2077—431no—
373#2054—431no—
374#2033—431no—
375#1934—431no—
376#1923—431no—
377#1880—431no—
378#1879—431no—
379#1863—431no—
380#1805—431no—
381#1788D4311yescharacteristic, complemented
382C2×C43—81no—
383C2×C43—82no—
384C2×C43#241811yescharacteristic
385C2×C43#310211yescharacteristic
386C2×C43#311911yescharacteristic
387C2×C43#326811yescharacteristic
388C2×C43#328211yescharacteristic
389C2×C43#330511yescharacteristic
390C2×C43#332611yescharacteristic
391D43—82no—
392C22×#41C2×D4311yescharacteristic
393C22×SD16—431no—
394C22×D8—431no—
395C2×#121—431no—
396C2×C4×Q8—431no—
397C2×C4×Q8—431no—
398C2×C4×D4—431no—
399#449—864no—
400C4×SD16—864no—
401C2×#107—431no—
402C2×#106—431no—
403C2×C4⋊C8—431no—
404C2×#103—431no—
405C2×#103C2×D4311yescharacteristic
406C2×#103C2×D4311yescharacteristic
407C2×#102—431no—
408C2×#102—431no—
409C2×#102—431no—
410C2×#102C2×D4311yescharacteristic
411C2×#102C2×D4311yescharacteristic
412C2×C22⋊C8—431no—
413C2×C22⋊C8C2×D4311yescharacteristic
414C2×C4×C8—431no—
415#397—861no—
416#394—861no—
417#390—431no—
418#390—431no—
419#390—431no—
420#390—861no—
421#390—861no—
422#389—431no—
423#386—861no—
424#382—431no—
425#381—861no—
426#380—431no—
427#380—861no—
428#380C2×D4311yescharacteristic
429C4×C22⋊C4—431no—
430C4×C22⋊C4—861no—
431#340—431no—
432#340—431no—
433#340—431no—
434#340—431no—
435#336—431no—
436#336—431no—
437C43#2490011yescharacteristic, complemented, Sylow
438C2×#41—22no—
439C2×#41—22no—
440C2×#41—22no—
441C2×#41—22no—
442C2×#41—41no—
443C2×#41—41no—
444C22×Q8C22×D4311yescharacteristic
445C22×D4—21no—
446C22×D4—431no—
447C22×D4—861no—
448C22×D4C22×D4311yescharacteristic
449C23×C4—21no—
450C23×C4—861no—
451C23×C4C22×D4311yescharacteristic
452C2×SD16—434no—
453C2×SD16—862no—
454C2×SD16—862no—
455C2×D8—862no—
456C2×D8—862no—
457C2×D8—1721no—
458C22×C8—431no—
459C22×C8—431no—
460C22×C8C22×D4311yescharacteristic
461C22×C8C22×D4311yescharacteristic
462#121—862no—
463#121—1721no—
464C4×Q8—862no—
465C4×Q8—862no—
466C4×Q8—1721no—
467C4×Q8—1721no—
468C4×D4—862no—
469C4×D4—1721no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4C22×D4311yescharacteristic
477C2×C4⋊C4C22×D4311yescharacteristic
478C2×C22⋊C4—21no—
479C2×C22⋊C4—431no—
480C2×C22⋊C4—431no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C22⋊C4—861no—
485C2×C22⋊C4—861no—
486C2×C22⋊C4—861no—
487C2×C22⋊C4—861no—
488C2×C22⋊C4—861no—
489C2×C22⋊C4—861no—
490C2×C42—431no—
491C2×C42—431no—
492C2×C42—861no—
493C2×C42—861no—
494#107—1721no—
495#106—862no—
496C4⋊C8—1721no—
497#103—22no—
498#103—22no—
499#103—862no—
500#102—22no—
501#102—41no—
502#102—862no—
503#102—862no—
504#102—1721no—
505C22⋊C8—41no—
506C22⋊C8—862no—
507C4×C8—862no—
508#95—21no—
509#95—431no—
510#95—431no—
511#95—861no—
512#95—861no—
513#95—861no—
514#95—861no—
515C24—21no—
516C24—861no—
517C24D4×D4311yescharacteristic
518#41—44no—
519#41—44no—
520#41—44no—
521#41—44no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8#1062189812yes—
526C2×Q8D4×D4312yes—
527C2×Q8#1062190012yes—
528C2×D4—24no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—432no—
537C2×D4—861no—
538C2×D4—861no—
539C2×D4—861no—
540C2×D4—861no—
541C2×D4—861no—
542C2×D4—3441no—
543C2×D4—1722no—
544C2×D4—1722no—
545C2×D4#1062190012yes—
546C22×C4—21no—
547C22×C4—24no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—42no—
557C22×C4—42no—
558C22×C4—431no—
559C22×C4—431no—
560C22×C4—431no—
561C22×C4—431no—
562C22×C4—861no—
563C22×C4—861no—
564C22×C4—861no—
565C22×C4—3441no—
566C22×C4—1722no—
567C22×C4—1722no—
568C22×C4D4×D4311yescharacteristic
569C22×C4C23×D4311yescharacteristic
570SD16—868no—
571D8—1724no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—432no—
579C2×C8—861no—
580C2×C8—861no—
581C2×C8—861no—
582C2×C8—861no—
583C2×C8—861no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4—3441no—
595C4⋊C4—1722no—
596C4⋊C4—1722no—
597C22⋊C4—81no—
598C22⋊C4—862no—
599C22⋊C4—3441no—
600C22⋊C4—3441no—
601C22⋊C4—3441no—
602C22⋊C4—3441no—
603C22⋊C4—3441no—
604C22⋊C4—1722no—
605C22⋊C4—1722no—
606C22⋊C4—1722no—
607C22⋊C4—1721no—
608C22⋊C4—1722no—
609C42—861no—
610C42—861no—
611C42—861no—
612C42—861no—
613C42—1722no—
614C42—1722no—
615C23—21no—
616C23—22no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—862no—
630C23—1721no—
631C23—1721no—
632C23—1721no—
633C23—1721no—
634C23—1721no—
635C23—1721no—
636C23C2×D4×D4311yescharacteristic
637Q8—22no—
638Q8—22no—
639Q8—22no—
640Q8#1306330714yes—
641D4—22no—
642D4—22no—
643D4—48no—
644D4—41no—
645D4—41no—
646D4—862no—
647D4—862no—
648D4—3444no—
649D4—1721no—
650D4—1721no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—48no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—432no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—861no—
672C2×C4—861no—
673C2×C4—861no—
674C2×C4—861no—
675C2×C4—861no—
676C2×C4—861no—
677C2×C4—861no—
678C2×C4—861no—
679C2×C4—861no—
680C2×C4—3444no—
681C2×C4—1721no—
682C2×C4—1721no—
683C2×C4—1721no—
684C2×C4—1721no—
685C2×C4—1721no—
686C2×C4—1721no—
687C2×C4—1721no—
688C2×C4—1721no—
689C2×C4—1721no—
690C2×C4C2×D4×D4311yescharacteristic
691C2×C4C2×#1062190011yescharacteristic
692C2×C4C2×#1062190011yescharacteristic
693C2×C4C2×#1062189811yescharacteristic
694C2×C4#1306337011yescharacteristic
695C2×C4#1306337011yescharacteristic
696C8—41no—
697C8—41no—
698C8—862no—
699C8—1721no—
700C22—42no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—42no—
710C22—81no—
711C22—81no—
712C22—81no—
713C22—81no—
714C22—3441no—
715C22—3441no—
716C22—3441no—
717C22—3441no—
718C22—1722no—
719C22—1722no—
720C22—1722no—
721C22#1458340511yescharacteristic
722C22#1458353111yescharacteristic
723C22#1458353911yescharacteristic
724C22#135×D4311yescharacteristic
725C22#1458369811yescharacteristic
726C22#1458370111yescharacteristic
727C22#1458370911yescharacteristic
728C4—24no—
729C4—41no—
730C4—81no—
731C4—81no—
732C4—862no—
733C4—3441no—
734C4—3441no—
735C4—3441no—
736C4—1721no—
737C4—1721no—
738C4—1721no—
739C4C2×#1306330711yescharacteristic
740C4#1458348411yescharacteristic
741C4#1458353611yescharacteristic
742C4#1458357511yescharacteristic
743C2—81no—
744C2—82no—
745C2—3442no—
746C2#1913806111yescharacteristic
747C2#1914461411yescharacteristic
748C2#1914478711yescharacteristic
749C2#1914613811yescharacteristic
750C2#1914630511yescharacteristic
751C2#1914654111yescharacteristic
752C2#1914684911yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1788C2
socleC23×C43C22×D4
prime radicalC2×#14583044C2
hypercenter#1788D43
hypocenterC43#24900
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1788

Complements

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

NH ≅ G/Ntype
2. C2×#14582984C2semidirect
3. #19138089C2semidirect
4. #19137436C2semidirect
5. #19136114C2semidirect
6. #19136031C2semidirect
7. #19135904C2semidirect
8. #19135778C2semidirect
9. #19135280C2semidirect
10. #19135204C2semidirect
11. #19134948C2semidirect
12. #19134940C2semidirect
13. #19134851C2semidirect
14. #19134608C2semidirect
15. C43×#1788C2semidirect
381. #1788D43semidirect
437. C43#24900semidirect

Maximal subgroups

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

subgroupindex
C2×#145830442
C2×#145829842
#191380892
#191374362
#191361142
#191360312
#191359042
#191357782
#191352802
#191352042
#191349482
#191349402
#191348512
#191346082
C43×#17882
#2490043