Finite Group Databasebeta

← #25065101

Subgroups — #25065101

Order 11008.

940 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148496C211yesmaximal, characteristic
2#19143703C211yesmaximal, characteristic, complemented
3#19143262C211yesmaximal, characteristic, complemented
4#19133297C211yesmaximal, characteristic, complemented
5#19133296C211yesmaximal, characteristic, complemented
6#19133294C211yesmaximal, characteristic, complemented
7#19133278C211yesmaximal, characteristic, complemented
8#19133269C211yesmaximal, characteristic, complemented
9#19133259C211yesmaximal, characteristic, complemented
10#19133258C211yesmaximal, characteristic, complemented
11#19133244C211yesmaximal, characteristic, complemented
12#19133241C211yesmaximal, characteristic, complemented
13#19133241C211yesmaximal, characteristic, complemented
14#332×D43C211yesmaximal, characteristic, complemented
15C43×#1553C211yesmaximal, characteristic, complemented
16#14583618—21no—
17#14583613C412yes—
18#14583608C412yes—
19#14583599C412yes—
20#14583596C412yes—
21#14583557—21no—
22#14583556—21no—
23#14583548—21no—
24#14583516—21no—
25#14583514—21no—
26#14583478—21no—
27#14583456C2211yescharacteristic
28#14583454C2211yescharacteristic
29#14583447C2211yescharacteristic
30#14583447C2211yescharacteristic
31C4⋊Q8×D43C2211yescharacteristic
32#14583378—21no—
33C4×#10621898C2211yescharacteristic
34C8×Dic86—21no—
35C8×D172—21no—
36(C22⋊D43)⋊C8—21no—
37(C22⋊D43)⋊C8—21no—
38#14582961—21no—
39#14582957—21no—
40#14582955C2211yescharacteristic
41#14582952C2211yescharacteristic
42#14582951C2211yescharacteristic
43#14582951C2211yescharacteristic
44#14582951C2211yescharacteristic
45#14582921C2211yescharacteristic
46C2×C4⋊(C43⋊C8)C2211yescharacteristic
47C4⋊C8×D43C2211yescharacteristic
48C4⋊C8×D43C2211yescharacteristic
49C4⋊C8×D43C2211yescharacteristic
50#14582864—21no—
51#14582856—21no—
52#14582646C2211yescharacteristic
53#14582646C2211yescharacteristic
54#14582646C2211yescharacteristic
55#14582646C2211yescharacteristic
56#14582645C2211yescharacteristic
57#14582645C2211yescharacteristic
58#14582644C2211yescharacteristic
59#14582644C2211yescharacteristic
60#14582644C2211yescharacteristic
61#14582644C2211yescharacteristic
62#14582643C2211yescharacteristic
63#14582643C2211yescharacteristic
64C43×#532C2211yescharacteristic
65C43×#432C2211yescharacteristic
66C43×#431C2211yescharacteristic
67C43×#332C2211yescharacteristic
68C43×#332C2211yescharacteristic
69C43×#331C2211yescharacteristic
70C43×#331C2211yescharacteristic
71C2×#10621898D411yescharacteristic
72C2×#10621900—21no—
73C2×#10621900—21no—
74C2×Q8×D43—21no—
75C2×#10621872—21no—
76C22×C43⋊C8—21no—
77C2×C8×D43—21no—
78C2×C8×D43—21no—
79C2×C8×D43—21no—
80#13063325C2311yescharacteristic
81#13063325C2311yescharacteristic
82#13063324—21no—
83#13063324C2×C412yes—
84#13063323—21no—
85#13063318—22no—
86#13063318—22no—
87#13063317C2×C412yes—
88#13063316C2×C412yes—
89#13063312—22no—
90#13063312—21no—
91#13063312—21no—
92#13063311—22no—
93#13063308—22no—
94#13063306—22no—
95#13063305—21no—
96#13063304—21no—
97#13063304—21no—
98#13063304—22no—
99#13063302—22no—
100#13063302—22no—
101#13063301—21no—
102#13063298—22no—
103#13063297—22no—
104#13063296—22no—
105#13063296—21no—
106#13063296—21no—
107#13063296C2×C412yes—
108#13063296C2×C412yes—
109Q8×Dic43—21no—
110C4×Dic86—21no—
111C4×Dic86—21no—
112C4×Dic86C2×C411yescharacteristic
113C4×Dic86D411yescharacteristic
114#13063290—21no—
115C4×D172C2×C411yescharacteristic
116C4×D172D411yescharacteristic
117D4×Dic43—21no—
118D4×Dic43—21no—
119D4×Dic43C2×C412yes—
120D4×Dic43C2×C412yes—
121C4×C22⋊D43—22no—
122C4×C22⋊D43C2×C411yescharacteristic
123C4×C22⋊D43C2×C411yescharacteristic
124C4×C22⋊D43D411yescharacteristic
125C4×C22⋊D43D411yescharacteristic
126(C22⋊D43)⋊C4—22no—
127#13063284C2×C412yes—
128#13063284D411yescharacteristic
129#13063283C2×C412yes—
130#13063282D411yescharacteristic
131#13063282D411yescharacteristic
132#13063281—22no—
133C2×Dic43⋊C4—22no—
134C4⋊C4×D43—21no—
135C4⋊C4×D43C2×C412yes—
136C42×D43C2311yescharacteristic
137C42×D43C2311yescharacteristic
138C4⋊(C43⋊C8)—21no—
139C4⋊(C43⋊C8)C2311yescharacteristic
140C4⋊(C43⋊C8)C2311yescharacteristic
141C4⋊(C43⋊C8)C2311yescharacteristic
142C4⋊(C43⋊C8)C2311yescharacteristic
143Dic43⋊C8—21no—
144Dic43⋊C8—21no—
145Dic43⋊C8—21no—
146Dic43⋊C8—21no—
147C22⋊(C43⋊C8)—21no—
148(C2×D43)⋊C8—21no—
149(C2×D43)⋊C8—21no—
150(C2×D43)⋊C8—21no—
151(C2×D43)⋊C8—21no—
152#13063235—21no—
153C4×C43⋊C8—21no—
154C8×Dic43—21no—
155C8×Dic43—21no—
156C8×Dic43—21no—
157C2×#41×C43—21no—
158C4⋊Q8×C43C2311yescharacteristic
159#127×C43C2311yescharacteristic
160#124×C43—21no—
161#121×C43—21no—
162#121×C43C2×C412yes—
163C4×D4×C43—21no—
164C4×D4×C43C2×C412yes—
165C2×C42×C43C2311yescharacteristic
166C4⋊C8×C43C2311yescharacteristic
167C4⋊C8×C43C2311yescharacteristic
168C4⋊C8×C43C2311yescharacteristic
169C4⋊C8×C43C2311yescharacteristic
170C22⋊C8×C43—21no—
171C22⋊C8×C43—21no—
172#97×C43—21no—
173C4×C8×C43—21no—
174#41×C43—81no—
175#41×C43—81no—
176C2×Q8×C43—21no—
177C2×D4×C43—21no—
178C2×D4×C43—21no—
179C2×D4×C43—22no—
180C2×D4×C43C22×C412yes—
181C22×C4×C43—22no—
182C22×C4×C43C22×C411yescharacteristic
183C22×C4×C43C2×D411yescharacteristic
184C22×C4×C43C2×D411yescharacteristic
185C2×C22⋊D43—22no—
186C2×C22⋊D43—22no—
187C2×C22⋊D43C22⋊C411yescharacteristic
188C2×C22⋊D43C22⋊C411yescharacteristic
189C22×Dic43—22no—
190C22×Dic43—22no—
191Q8×D43—81no—
192Q8×D43—81no—
193#10621900—42no—
194#10621900—42no—
195#10621900—81no—
196#10621900—81no—
197#10621898—22no—
198#10621898—22no—
199C2×D172C22⋊C411yescharacteristic
200C2×C4×D43—22no—
201C2×C4×D43C22×C411yescharacteristic
202C2×C4×D43C22×C411yescharacteristic
203C2×C4×D43C2×D411yescharacteristic
204C2×C4×D43C2×D411yescharacteristic
205C2×C4×D43C2×D411yescharacteristic
206C2×C4×D43C2×D411yescharacteristic
207C2×Dic86—21no—
208C2×Dic86—21no—
209C2×Dic86—22no—
210C2×Dic86C22⋊C411yescharacteristic
211C2×C8×C43—21no—
212C2×C8×C43—21no—
213C2×C8×C43—21no—
214C2×C8×C43—21no—
215C4⋊C4×C43—21no—
216C4⋊C4×C43C22×C412yes—
217C22⋊C4×C43—22no—
218C22⋊C4×C43—22no—
219C42×C43C22×C411yescharacteristic
220C42×C43C2×D411yescharacteristic
221C42×C43C2×D411yescharacteristic
222C42×C43C2411yescharacteristic
223C22⋊Dic43—22no—
224C22⋊Dic43—22no—
225C22⋊Dic43—22no—
226C22⋊Dic43—22no—
227C22⋊Dic43—22no—
228C22⋊Dic43C22⋊C411yescharacteristic
229C22⋊Dic43C22⋊C411yescharacteristic
230(C2×D43)⋊C4—22no—
231(C2×D43)⋊C4C22⋊C411yescharacteristic
232(C2×D43)⋊C4C22⋊C411yescharacteristic
233(C2×D43)⋊C4C22⋊C411yescharacteristic
234(C2×D43)⋊C4C22⋊C411yescharacteristic
235C4⋊Dic43—21no—
236C4⋊Dic43—21no—
237C4⋊Dic43—22no—
238C4⋊Dic43C22⋊C411yescharacteristic
239C4⋊Dic43C22⋊C411yescharacteristic
240C4⋊Dic43C22×C412yes—
241C4⋊Dic43C22×C412yes—
242Dic43⋊C4—22no—
243Dic43⋊C4—22no—
244Dic43⋊C4—22no—
245Dic43⋊C4—22no—
246Dic43⋊C4—22no—
247Dic43⋊C4C22⋊C411yescharacteristic
248Dic43⋊C4C22⋊C411yescharacteristic
249Dic43⋊C4C22⋊C411yescharacteristic
250Dic43⋊C4C22⋊C411yescharacteristic
251C4×Dic43—22no—
252C4×Dic43—22no—
253C4×Dic43C22×C411yescharacteristic
254C4×Dic43C22×C411yescharacteristic
255C4×Dic43C2×D411yescharacteristic
256C4×Dic43C2×D411yescharacteristic
257C4×Dic43C2×D411yescharacteristic
258C4×Dic43C2×D411yescharacteristic
259C2×C43⋊C8—21no—
260C2×C43⋊C8—21no—
261C2×C43⋊C8—21no—
262C2×C43⋊C8—21no—
263C2×C43⋊C8—81no—
264#10621872—42no—
265C8×D43—42no—
266C8×D43—81no—
267C8×D43—81no—
268C23×C43—22no—
269C23×C43C2×C22⋊C411yescharacteristic
270C22×D43C2×C22⋊C411yescharacteristic
271C22×D43C2×C22⋊C411yescharacteristic
272Q8×C43—41no—
273Q8×C43—41no—
274D4×C43—42no—
275D4×C43—41no—
276D4×C43—41no—
277D4×C43—41no—
278D4×C43—41no—
279D4×C43—82no—
280C2×C4×C43—21no—
281C2×C4×C43—21no—
282C2×C4×C43—21no—
283C2×C4×C43—21no—
284C2×C4×C43—22no—
285C2×C4×C43—41no—
286C2×C4×C43—82no—
287C2×C4×C43C2×C22⋊C411yescharacteristic
288C2×C4×C43C2×C22⋊C411yescharacteristic
289C2×C4×C43C2×C22⋊C411yescharacteristic
290C2×C4×C43C23×C411yescharacteristic
291C2×C4×C43C22×D411yescharacteristic
292C2×C4×C43C22×D411yescharacteristic
293C22⋊D43—22no—
294C22⋊D43—22no—
295C22⋊D43—44no—
296C22⋊D43—82no—
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—44no—
300C2×Dic43—82no—
301C2×Dic43C2×C22⋊C411yescharacteristic
302C2×Dic43C2×C22⋊C411yescharacteristic
303C2×Dic43C2×C22⋊C411yescharacteristic
304C2×Dic43C2×C22⋊C411yescharacteristic
305C2×Dic43C2×C22⋊C411yescharacteristic
306C2×Dic43C2×C22⋊C411yescharacteristic
307D172—22no—
308C4×D43—21no—
309C4×D43—21no—
310C4×D43—21no—
311C4×D43—21no—
312C4×D43—21no—
313C4×D43—21no—
314C4×D43—41no—
315C4×D43—41no—
316C4×D43—82no—
317C4×D43#13512yes—
318C4×D43#13512yes—
319Dic86—22no—
320Dic86—41no—
321Dic86—41no—
322Dic86—41no—
323Dic86—41no—
324Dic86—82no—
325C8×C43—41no—
326C8×C43—41no—
327C8×C43—41no—
328C8×C43—41no—
329C43⋊C8—41no—
330C43⋊C8—41no—
331C43⋊C8—41no—
332C43⋊C8—41no—
333#17727—431nomaximal, Sylow
334C22×C43—21no—
335C22×C43—21no—
336C22×C43—21no—
337C22×C43—42no—
338C22×C43—42no—
339C22×C43—42no—
340C22×C43C22×C22⋊C411yescharacteristic
341C2×D43—21no—
342C2×D43—21no—
343C2×D43—21no—
344C2×D43—21no—
345C2×D43—21no—
346C2×D43#41612yes—
347C4×C43—21no—
348C4×C43—21no—
349C4×C43—21no—
350C4×C43—21no—
351C4×C43—42no—
352C4×C43C2×#13511yescharacteristic
353C4×C43C2×#13511yescharacteristic
354C4×C43#57611yescharacteristic
355C4×C43#57711yescharacteristic
356Dic43—21no—
357Dic43—21no—
358Dic43—21no—
359Dic43—21no—
360Dic43—21no—
361Dic43—42no—
362Dic43—42no—
363Dic43#41612yes—
364#3511—431no—
365#2988—431no—
366#2925—431no—
367#1553—431no—
368#1553D4311yescharacteristic, complemented
369#1552—431no—
370#1552—431no—
371#1549—431no—
372#1547—431no—
373#1544—431no—
374#1544—431no—
375#1540—431no—
376#1540—431no—
377#1540—431no—
378C2×#332—431no—
379C2×C43—41no—
380C2×C43—82no—
381C2×C43#288911yescharacteristic
382C2×C43C2×#41611yescharacteristic
383C2×C43#289711yescharacteristic
384D43—22no—
385D43—41no—
386#556—861no—
387#555—432no—
388#554—432no—
389#553—432no—
390#553—432no—
391#548—861no—
392#548—861no—
393#547—861no—
394#542—861no—
395#542—861no—
396#537—861no—
397#533—431no—
398#533—431no—
399#532—431no—
400#532—431no—
401#532C2×D4311yescharacteristic
402C2×C4⋊Q8—431no—
403#520—861no—
404C4×#41—431no—
405C8×Q8—861no—
406C8×D4—861no—
407C8×D4—861no—
408C8×D4—861no—
409#433—861no—
410#433—861no—
411#432—431no—
412#432C2×D4311yescharacteristic
413#431—431no—
414#431—431no—
415#431—431no—
416#431—431no—
417#431C2×D4311yescharacteristic
418#423—431no—
419C2×C4⋊C8—431no—
420C2×C4⋊C8—431no—
421C2×C4⋊C8—431no—
422C2×C4⋊C8—431no—
423#408—861no—
424#405—861no—
425#332—431no—
426#332—431no—
427#332—431no—
428#332—431no—
429#332—431no—
430#332—431no—
431#332—431no—
432#332—431no—
433#332—431no—
434#332—431no—
435#332C2×D4311yescharacteristic
436#332C2×D4311yescharacteristic
437#331—431no—
438#331—431no—
439#331C2×D4311yescharacteristic
440#331C2×D4311yescharacteristic
441C43#1772711yescharacteristic, complemented, Sylow
442C2×#41—21no—
443C2×#41—431no—
444C2×#41—861no—
445C2×#41—861no—
446C22×Q8—861no—
447C2×M16—861no—
448C22×C8—861no—
449C22×C8—861no—
450C22×C8—861no—
451C22×C8—861no—
452C4⋊Q8—432no—
453C4⋊Q8—431no—
454C4⋊Q8—431no—
455C4⋊Q8—861no—
456C4⋊Q8—861no—
457C4⋊Q8C22×D4311yescharacteristic
458#127C22×D4311yescharacteristic
459#126—862no—
460#126—862no—
461#125—432no—
462#125—432no—
463#124—21no—
464#124—861no—
465#124—861no—
466#124—862no—
467#124—862no—
468#123—862no—
469#123—862no—
470C22⋊Q8—862no—
471C22⋊Q8—862no—
472C22⋊Q8—861no—
473C22⋊Q8—862no—
474C22⋊Q8—861no—
475C22⋊Q8—861no—
476C22⋊Q8—861no—
477#121—21no—
478#121—432no—
479#121—432no—
480#121—862no—
481#121—861no—
482#121—861no—
483#121—862no—
484#121—862no—
485#121C4×D4312yes—
486C4×Q8—431no—
487C4×Q8—431no—
488C4×Q8—861no—
489C4×Q8—861no—
490C4×Q8—861no—
491C4×Q8—861no—
492C4×D4—21no—
493C4×D4—431no—
494C4×D4—431no—
495C4×D4—431no—
496C4×D4—431no—
497C4×D4—432no—
498C4×D4—432no—
499C4×D4—431no—
500C4×D4—431no—
501C4×D4—861no—
502C4×D4—861no—
503C4×D4—862no—
504C4×D4—862no—
505C4×D4C4×D4312yes—
506#117—431no—
507#117—431no—
508#117—431no—
509#117—432no—
510#117—432no—
511#117—862no—
512C2×C4⋊C4—432no—
513C2×C4⋊C4—861no—
514C2×C4⋊C4—862no—
515C2×C42—431no—
516C2×C42—431no—
517C2×C42C22×D4311yescharacteristic
518C4⋊C8—431no—
519C4⋊C8—431no—
520C4⋊C8—431no—
521C4⋊C8—431no—
522C4⋊C8—861no—
523C4⋊C8—861no—
524C4⋊C8—861no—
525C4⋊C8—861no—
526C4⋊C8—861no—
527C4⋊C8C22×D4311yescharacteristic
528C4⋊C8C22×D4311yescharacteristic
529C4⋊C8C22×D4311yescharacteristic
530C4⋊C8C22×D4311yescharacteristic
531C22⋊C8—21no—
532C22⋊C8—21no—
533C22⋊C8—861no—
534C22⋊C8—861no—
535C22⋊C8—861no—
536C22⋊C8—861no—
537C22⋊C8—861no—
538#97—21no—
539#97—861no—
540C4×C8—21no—
541C4×C8—861no—
542C4×C8—861no—
543C4×C8—861no—
544C4×C8—861no—
545#41—81no—
546#41—81no—
547#41—862no—
548#41—862no—
549#41—3441no—
550#41—3441no—
551#41—1722no—
552#41—1722no—
553C2×Q8—21no—
554C2×Q8—431no—
555C2×Q8—862no—
556C2×Q8—861no—
557C2×Q8—861no—
558C2×Q8—3441no—
559C2×Q8—3441no—
560C2×D4—22no—
561C2×D4—21no—
562C2×D4—21no—
563C2×D4—431no—
564C2×D4—431no—
565C2×D4—431no—
566C2×D4—862no—
567C2×D4—862no—
568C2×D4C2×C4×D4312yes—
569C22×C4—22no—
570C22×C4—431no—
571C22×C4—431no—
572C22×C4—431no—
573C22×C4—431no—
574C22×C4—431no—
575C22×C4—431no—
576C22×C4—862no—
577C22×C4—862no—
578C22×C4—862no—
579C22×C4C2×C4×D4311yescharacteristic
580C22×C4D4×D4311yescharacteristic
581C22×C4D4×D4311yescharacteristic
582M16—1722no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—21no—
586C2×C8—21no—
587C2×C8—861no—
588C2×C8—861no—
589C2×C8—861no—
590C2×C8—861no—
591C2×C8—3441no—
592C2×C8—3441no—
593C2×C8—3441no—
594C2×C8—1722no—
595C4⋊C4—21no—
596C4⋊C4—431no—
597C4⋊C4—431no—
598C4⋊C4—431no—
599C4⋊C4—431no—
600C4⋊C4—431no—
601C4⋊C4—431no—
602C4⋊C4—432no—
603C4⋊C4—432no—
604C4⋊C4—862no—
605C4⋊C4—862no—
606C4⋊C4—862no—
607C4⋊C4—862no—
608C4⋊C4—862no—
609C4⋊C4—862no—
610C4⋊C4—861no—
611C4⋊C4—861no—
612C4⋊C4C2×C4×D4312yes—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—431no—
616C22⋊C4—431no—
617C22⋊C4—431no—
618C22⋊C4—431no—
619C22⋊C4—431no—
620C22⋊C4—431no—
621C22⋊C4—862no—
622C22⋊C4—862no—
623C22⋊C4—862no—
624C22⋊C4—862no—
625C22⋊C4—862no—
626C22⋊C4—862no—
627C42—431no—
628C42—431no—
629C42—431no—
630C42—431no—
631C42—431no—
632C42—431no—
633C42—862no—
634C42—862no—
635C42C2×C4×D4311yescharacteristic
636C42D4×D4311yescharacteristic
637C42D4×D4311yescharacteristic
638C42C23×D4311yescharacteristic
639C23—22no—
640C23—431no—
641C23—431no—
642C23C22⋊C4×D4311yescharacteristic
643Q8—41no—
644Q8—41no—
645Q8—862no—
646Q8—3442no—
647Q8—1721no—
648Q8—1721no—
649Q8—1721no—
650Q8—1721no—
651D4—42no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—82no—
657D4—862no—
658D4—862no—
659D4—862no—
660D4—3442no—
661D4—1724no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—41no—
668C2×C4—82no—
669C2×C4—431no—
670C2×C4—432no—
671C2×C4—432no—
672C2×C4—431no—
673C2×C4—431no—
674C2×C4—431no—
675C2×C4—431no—
676C2×C4—431no—
677C2×C4—861no—
678C2×C4—861no—
679C2×C4—861no—
680C2×C4—861no—
681C2×C4—861no—
682C2×C4—861no—
683C2×C4—862no—
684C2×C4—862no—
685C2×C4—3442no—
686C2×C4—3442no—
687C2×C4—1721no—
688C2×C4—1721no—
689C2×C4—1724no—
690C2×C4C22⋊C4×D4311yescharacteristic
691C2×C4C22⋊C4×D4311yescharacteristic
692C2×C4C22⋊C4×D4311yescharacteristic
693C2×C4C22×C4×D4311yescharacteristic
694C2×C4C2×D4×D4311yescharacteristic
695C2×C4C2×D4×D4311yescharacteristic
696C8—41no—
697C8—41no—
698C8—41no—
699C8—41no—
700C8—1721no—
701C8—1721no—
702C8—1721no—
703C8—1721no—
704C22—21no—
705C22—21no—
706C22—21no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—432no—
711C22—861no—
712C22—861no—
713C22—861no—
714C22—861no—
715C22—861no—
716C22C2×C22⋊C4×D4311yescharacteristic
717C4—21no—
718C4—21no—
719C4—21no—
720C4—21no—
721C4—42no—
722C4—432no—
723C4—861no—
724C4—861no—
725C4—861no—
726C4—861no—
727C4—861no—
728C4—1722no—
729C4—1722no—
730C4#135×D4311yescharacteristic
731C4#135×D4311yescharacteristic
732C4#1458370311yescharacteristic
733C4#1458370911yescharacteristic
734C2—41no—
735C2—82no—
736C2—862no—
737C2—1721no—
738C2#1914307611yescharacteristic
739C2#416×D4311yescharacteristic
740C2#1914312011yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC2×C4×C43C23×C4
FrattiniC42C23×D43
FittingC43×#1553C2
socleC22×C43C22×C22⋊C4
prime radical#19148496C2
cosocleC42×C43C24
hypercenter#1553D43
hypocenterC43#17727
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1553

Complements

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

NH ≅ G/Ntype
2. #19143703C2semidirect
3. #19143262C2semidirect
4. #19133297C2semidirect
5. #19133296C2semidirect
6. #19133294C2semidirect
7. #19133278C2semidirect
8. #19133269C2semidirect
9. #19133259C2semidirect
10. #19133258C2semidirect
11. #19133244C2semidirect
12. #19133241C2semidirect
13. #19133241C2semidirect
14. #332×D43C2semidirect
15. C43×#1553C2semidirect
368. #1553D43semidirect
441. C43#17727semidirect

Maximal subgroups

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

subgroupindex
#191484962
#191437032
#191432622
#191332972
#191332962
#191332942
#191332782
#191332692
#191332592
#191332582
#191332442
#191332412
#332×D432
C43×#15532
#1772743