Finite Group Databasebeta

← #25131158

Subgroups — #25131158

Order 11008.

1086 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
1C2×#14583516C211yesmaximal, characteristic
2C2×#14583182C211yesmaximal, characteristic, complemented
3C2×#14583119C211yesmaximal, characteristic, complemented
4#19137279C211yesmaximal, characteristic, complemented
5#19135792C211yesmaximal, characteristic, complemented
6#19135781C211yesmaximal, characteristic
7#19135603C211yesmaximal, characteristic, complemented
8#19135541C211yesmaximal, characteristic, complemented
9#19135526C211yesmaximal, characteristic, complemented
10#19134933C211yesmaximal, characteristic, complemented
11#19134931C211yesmaximal, characteristic, complemented
12#19134864C211yesmaximal, characteristic, complemented
13#19134858C211yesmaximal, characteristic, complemented
14#19134577C211yesmaximal, characteristic, complemented
15C43×#2000C211yesmaximal, characteristic
16C22×#10621885C2211yescharacteristic
17#14583516—24no—
18#14583516—24no—
19C2×#13063324C2211yescharacteristic
20C2×#13063318—21no—
21C2×#13063312—21no—
22C2×#13063312C2211yescharacteristic
23C2×#13063306—21no—
24C2×#13063304C2211yescharacteristic
25C2×#13063302—21no—
26C2×Q8×Dic43C2211yescharacteristic
27C2×#13063290C2211yescharacteristic
28C2×D4×Dic43C2211yescharacteristic
29C2×#13063284C2211yescharacteristic
30#14583182—24no—
31#14583119—24no—
32C2×#13063257C2211yescharacteristic
33C2×#13063256C2211yescharacteristic
34C2×Dic43⋊C8C2211yescharacteristic
35C2×Dic43⋊C8C2211yescharacteristic
36C2×#13063250C2211yescharacteristic
37C2×#13063250C2211yescharacteristic
38C2×#13063249C2211yescharacteristic
39C2×#13063248C2211yescharacteristic
40C2×#13063246C2211yescharacteristic
41C2×#13063246C2211yescharacteristic
42C2×C22⋊(C43⋊C8)C2211yescharacteristic
43#14582806C2211yescharacteristic
44#14582798—21no—
45#14582798C2211yescharacteristic
46#14582792—21no—
47#14582792—21no—
48#14582785—21no—
49#14582759C2211yescharacteristic
50C4⋊C4×Dic43C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C22×SD16×C43C2211yescharacteristic
57C2×C22⋊Q8×C43C2211yescharacteristic
58C2×#121×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C2×C22⋊C8×C43C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C22×Dic86—21no—
64C22×Dic86C2311yescharacteristic
65C23×Dic43—21no—
66C2×#10621885—22no—
67C2×#10621885—22no—
68C2×#10621885—41no—
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063324—22no—
72#13063324D414yes—
73#13063318—28no—
74#13063312—28no—
75#13063312—22no—
76#13063312D414yes—
77#13063306—28no—
78#13063304—22no—
79#13063304—22no—
80#13063302—28no—
81Q8×Dic43—22no—
82Q8×Dic43—22no—
83#13063290—22no—
84#13063290—22no—
85D4×Dic43—22no—
86D4×Dic43—22no—
87#13063284—22no—
88#13063284—22no—
89C2×C4⋊Dic43—21no—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43D411yescharacteristic
92C2×C4⋊Dic43D411yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C2×C22⋊Dic43—21no—
100C2×C22⋊Dic43—21no—
101C2×C22⋊Dic43—21no—
102C2×C22⋊Dic43—21no—
103C2×C22⋊Dic43—21no—
104C2×C22⋊Dic43D411yescharacteristic
105C2×C22⋊Dic43D411yescharacteristic
106C2×C4×Dic43—21no—
107C2×C4×Dic43—21no—
108C2×C4×Dic43—21no—
109C2×C4×Dic43C2311yescharacteristic
110C2×C4×Dic43C2311yescharacteristic
111#13063257—22no—
112#13063256—22no—
113Dic43⋊C8—22no—
114Dic43⋊C8—22no—
115#13063250—22no—
116#13063250—41no—
117#13063249—22no—
118#13063248—22no—
119#13063246—22no—
120#13063246—41no—
121C22⋊(C43⋊C8)—41no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C43⋊#95—21no—
127C22×Q8×C43C2311yescharacteristic
128C22×D4×C43—21no—
129C22×D4×C43C2311yescharacteristic
130C23×C4×C43C2311yescharacteristic
131C2×SD16×C43—22no—
132C2×SD16×C43—22no—
133C2×SD16×C43—41no—
134C22×C8×C43C2311yescharacteristic
135C22×C8×C43C2311yescharacteristic
136C22⋊Q8×C43—22no—
137C22⋊Q8×C43—22no—
138#121×C43—22no—
139#121×C43—22no—
140C2×C4⋊C4×C43—21no—
141C2×C4⋊C4×C43C2311yescharacteristic
142C2×C4⋊C4×C43C2311yescharacteristic
143C2×C22⋊C4×C43—21no—
144C2×C22⋊C4×C43—21no—
145#103×C43—22no—
146#102×C43—22no—
147C22⋊C8×C43—41no—
148C24×C43—21no—
149C24×C43C2×D411yescharacteristic
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43#4112yes—
156C2×D4×C43—24no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—21no—
161C2×D4×C43—21no—
162C2×D4×C43—81no—
163C2×D4×C43—81no—
164C2×D4×C43C2×D412yes—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43—21no—
171C22×C4×C43—21no—
172C22×C4×C43—21no—
173C22×C4×C43—21no—
174C22×C4×C43C2×D411yescharacteristic
175C22×C4×C43C2411yescharacteristic
176C22×Dic43—24no—
177C22×Dic43—21no—
178C22×Dic43—21no—
179C22×Dic43—21no—
180C22×Dic43—21no—
181C22×Dic43—81no—
182C22×Dic43—81no—
183C22×Dic43C2×D411yescharacteristic
184C22×Dic43C2×D411yescharacteristic
185C22×Dic43C2×D411yescharacteristic
186C22×Dic43C2×D411yescharacteristic
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86—24no—
193C2×Dic86—81no—
194C2×Dic86—81no—
195C2×Dic86C2×D412yes—
196SD16×C43—44no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C4⋊C4×C43—24no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43C2×D412yes—
207C4⋊C4×C43#4112yes—
208C22⋊C4×C43—24no—
209C22⋊C4×C43—24no—
210C22⋊Dic43—24no—
211C22⋊Dic43—24no—
212C22⋊Dic43—24no—
213C22⋊Dic43—24no—
214C22⋊Dic43—22no—
215C22⋊Dic43—22no—
216C22⋊Dic43—81no—
217#10621885—44no—
218C4⋊Dic43—21no—
219C4⋊Dic43—22no—
220C4⋊Dic43—22no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—42no—
226C4⋊Dic43—81no—
227C4⋊Dic43C2×D412yes—
228Dic43⋊C4—24no—
229Dic43⋊C4—24no—
230Dic43⋊C4—24no—
231C4×Dic43—24no—
232C4×Dic43—21no—
233C4×Dic43—21no—
234C4×Dic43—42no—
235C4×Dic43—81no—
236C4×Dic43C2×D412yes—
237C4×Dic43C2×D412yes—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8—21no—
241C2×C43⋊C8—21no—
242C2×C43⋊C8—21no—
243C2×C43⋊C8—21no—
244C23×C43—21no—
245C23×C43—22no—
246C23×C43—21no—
247C23×C43—21no—
248C23×C43—21no—
249C23×C43—21no—
250C23×C43—21no—
251C23×C43—21no—
252C23×C43—41no—
253C23×C43—41no—
254C23×C43—41no—
255C23×C43—41no—
256C23×C43—41no—
257C23×C43—41no—
258C23×C43C22×D411yescharacteristic
259Q8×C43—22no—
260Q8×C43—22no—
261Q8×C43—41no—
262Q8×C43—41no—
263D4×C43—22no—
264D4×C43—22no—
265D4×C43—41no—
266D4×C43—41no—
267D4×C43—84no—
268C2×C4×C43—22no—
269C2×C4×C43—21no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
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×C43C22×D411yescharacteristic
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C2×#4111yescharacteristic
287C2×C4×C43C2×#4111yescharacteristic
288C2×C4×C43H(5,𝔽2)11yescharacteristic
289C2×C4×C432−1+411yescharacteristic
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—21no—
299C2×Dic43—21no—
300C2×Dic43—21no—
301C2×Dic43—21no—
302C2×Dic43—41no—
303C2×Dic43—41no—
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—84no—
313C2×Dic43#12012yes—
314C2×Dic43#12012yes—
315Dic86—22no—
316Dic86—22no—
317Dic86—41no—
318Dic86—41no—
319Dic86—84no—
320C8×C43—41no—
321C8×C43—41no—
322C43⋊C8—41no—
323C43⋊C8—41no—
324#24169—431nomaximal, Sylow
325C22×C43—41no—
326C22×C43—41no—
327C22×C43—41no—
328C22×C43—42no—
329C22×C43—41no—
330C22×C43—41no—
331C22×C43—41no—
332C22×C43—42no—
333C22×C43—41no—
334C22×C43—42no—
335C22×C43—81no—
336C22×C43—81no—
337C22×C43—81no—
338C22×C43—81no—
339C22×C43C2×#12011yescharacteristic
340C22×C43#52511yescharacteristic
341C22×C43#53711yescharacteristic
342C22×C43#57711yescharacteristic
343C22×C43#57711yescharacteristic
344C22×C43#57711yescharacteristic
345C22×C43#57811yescharacteristic
346C4×C43—42no—
347C4×C43—41no—
348C4×C43—42no—
349C4×C43—42no—
350C4×C43#54611yescharacteristic
351C4×C43#54711yescharacteristic
352C4×C43#54811yescharacteristic
353C4×C43#55011yescharacteristic
354Dic43—22no—
355Dic43—22no—
356Dic43—42no—
357Dic43—42no—
358Dic43—41no—
359Dic43—41no—
360Dic43—81no—
361Dic43—81no—
362C2×#542—431no—
363C2×#475—431no—
364C2×#464—431no—
365#2323—431no—
366#2035—431no—
367#2034—431no—
368#2001—431no—
369#2000D4311yescharacteristic
370#1987—431no—
371#1983—431no—
372#1878—431no—
373#1877—431no—
374#1865—431no—
375#1864—431no—
376#1798—431no—
377C2×C43—81no—
378C2×C43—82no—
379C2×C43#240711yescharacteristic
380C2×C43#300911yescharacteristic
381C2×C43#301311yescharacteristic
382C2×C43#312111yescharacteristic
383C2×C43#312511yescharacteristic
384C2×C43#325811yescharacteristic
385C2×C43#326311yescharacteristic
386C22×Q16—431no—
387C22×SD16C2×D4311yescharacteristic
388#542—864no—
389#542—864no—
390C2×C4⋊Q8—431no—
391C2×#126—861no—
392C2×#124—431no—
393C2×#124—861no—
394C2×#123—861no—
395C2×C22⋊Q8—431no—
396C2×C22⋊Q8—861no—
397C2×C22⋊Q8C2×D4311yescharacteristic
398C2×#121C2×D4311yescharacteristic
399C2×C4×Q8—431no—
400C2×C4×Q8—431no—
401C2×C4×D4—431no—
402C2×#117—431no—
403#475—864no—
404#464—864no—
405C2×#106—431no—
406C2×#106—431no—
407C2×C4⋊C8—431no—
408C2×C4⋊C8—431no—
409C2×#103—431no—
410C2×#103—431no—
411C2×#103—431no—
412C2×#103—431no—
413C2×#103C2×D4311yescharacteristic
414C2×#102—431no—
415C2×#102—431no—
416C2×#102C2×D4311yescharacteristic
417C2×C22⋊C8—431no—
418C2×C22⋊C8C2×D4311yescharacteristic
419#391—431no—
420#389—431no—
421#389—861no—
422#388—861no—
423#388—861no—
424#387—861no—
425#380—431no—
426C4×C4⋊C4—431no—
427#340—431no—
428#340—431no—
429#340—431no—
430#340C2×D4311yescharacteristic
431#336—431no—
432#336—431no—
433C43#2416911yescharacteristic, complemented, Sylow
434C22×Q8—431no—
435C22×Q8—861no—
436C22×Q8C22×D4311yescharacteristic
437C22×D4—21no—
438C22×D4C22×D4311yescharacteristic
439C23×C4—861no—
440C23×C4C22×D4311yescharacteristic
441C2×Q16—862no—
442C2×Q16—862no—
443C2×Q16—1721no—
444C2×SD16—22no—
445C2×SD16—22no—
446C2×SD16—41no—
447C22×C8—431no—
448C22×C8—431no—
449C22×C8C22×D4311yescharacteristic
450C22×C8C22×D4311yescharacteristic
451C4⋊Q8—434no—
452C4⋊Q8—862no—
453#126—868no—
454#124—434no—
455#124—862no—
456#124—868no—
457#123—868no—
458C22⋊Q8—22no—
459C22⋊Q8—22no—
460C22⋊Q8—868no—
461C22⋊Q8—862no—
462C22⋊Q8—862no—
463#121—22no—
464#121—22no—
465C4×Q8—862no—
466C4×Q8—862no—
467C4×Q8—862no—
468C4×Q8—862no—
469C4×D4—862no—
470C4×D4—862no—
471#117—862no—
472#117—862no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—431no—
475C2×C4⋊C4—431no—
476C2×C4⋊C4—431no—
477C2×C4⋊C4—431no—
478C2×C4⋊C4—431no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4—861no—
483C2×C4⋊C4—861no—
484C2×C4⋊C4C22×D4311yescharacteristic
485C2×C4⋊C4C22×D4311yescharacteristic
486C2×C22⋊C4—21no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4—431no—
489C2×C22⋊C4—431no—
490C2×C22⋊C4—861no—
491C2×C22⋊C4—861no—
492C2×C22⋊C4—861no—
493C2×C22⋊C4—861no—
494C2×C22⋊C4—861no—
495C2×C42—431no—
496C2×C42—431no—
497C2×C42—861no—
498C2×C42—861no—
499C2×C42—861no—
500#106—862no—
501#106—862no—
502C4⋊C8—862no—
503C4⋊C8—862no—
504#103—22no—
505#103—862no—
506#103—862no—
507#103—862no—
508#103—1721no—
509#102—22no—
510#102—862no—
511#102—1721no—
512C22⋊C8—41no—
513C22⋊C8—1721no—
514#95—861no—
515#95—861no—
516#95—861no—
517#95—861no—
518#95—861no—
519C24—21no—
520C24D4×D4311yescharacteristic
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—432no—
527C2×Q8—864no—
528C2×Q8—861no—
529C2×Q8—861no—
530C2×Q8—861no—
531C2×Q8—861no—
532C2×Q8—861no—
533C2×Q8—3441no—
534C2×Q8—3441no—
535C2×Q8#1062190012yes—
536C2×D4—24no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—81no—
543C2×D4—81no—
544C2×D4D4×D4312yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—431no—
555C22×C4—431no—
556C22×C4—431no—
557C22×C4—431no—
558C22×C4—864no—
559C22×C4—861no—
560C22×C4—861no—
561C22×C4—861no—
562C22×C4—861no—
563C22×C4—3441no—
564C22×C4—3441no—
565C22×C4D4×D4311yescharacteristic
566C22×C4C23×D4311yescharacteristic
567Q16—1724no—
568SD16—44no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8—861no—
580C2×C8—861no—
581C4⋊C4—24no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—432no—
585C4⋊C4—862no—
586C4⋊C4—862no—
587C4⋊C4—864no—
588C4⋊C4—864no—
589C4⋊C4—864no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4—861no—
595C4⋊C4—3441no—
596C4⋊C4—1722no—
597C4⋊C4D4×D4312yes—
598C4⋊C4#1062190012yes—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—862no—
602C22⋊C4—862no—
603C22⋊C4—864no—
604C22⋊C4—864no—
605C22⋊C4—864no—
606C22⋊C4—864no—
607C22⋊C4—3441no—
608C42—432no—
609C42—432no—
610C42—864no—
611C42—861no—
612C42—861no—
613C42—3441no—
614C42—1722no—
615C23—22no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23C2×D4×D4311yescharacteristic
630Q8—22no—
631Q8—22no—
632Q8—41no—
633Q8—41no—
634Q8—862no—
635Q8—862no—
636Q8—3444no—
637Q8—1721no—
638Q8—1721no—
639D4—22no—
640D4—22no—
641D4—41no—
642D4—41no—
643D4—84no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—432no—
661C2×C4—432no—
662C2×C4—861no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—862no—
668C2×C4—861no—
669C2×C4—862no—
670C2×C4—861no—
671C2×C4—861no—
672C2×C4—861no—
673C2×C4—861no—
674C2×C4—3444no—
675C2×C4—1721no—
676C2×C4—1721no—
677C2×C4—1721no—
678C2×C4—1721no—
679C2×C4—1721no—
680C2×C4—1721no—
681C2×C4—1721no—
682C2×C4—1721no—
683C2×C4—1721no—
684C2×C4—1721no—
685C2×C4C2×D4×D4311yescharacteristic
686C2×C4C2×D4×D4311yescharacteristic
687C2×C4C2×#1062190011yescharacteristic
688C2×C4C2×#1062190011yescharacteristic
689C2×C4#1306337011yescharacteristic
690C2×C4#1306337211yescharacteristic
691C8—41no—
692C8—41no—
693C8—1721no—
694C8—1721no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—42no—
700C22—41no—
701C22—42no—
702C22—41no—
703C22—41no—
704C22—42no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22#120×D4311yescharacteristic
710C22#1458340511yescharacteristic
711C22#1458347611yescharacteristic
712C22#1458370511yescharacteristic
713C22#1458370611yescharacteristic
714C22#1458370911yescharacteristic
715C22#1458371511yescharacteristic
716C4—41no—
717C4—42no—
718C4—42no—
719C4—42no—
720C4—862no—
721C4—862no—
722C4—3441no—
723C4—3441no—
724C4—1722no—
725C4—1721no—
726C4—1722no—
727C4—1721no—
728C4#1458353611yescharacteristic
729C4#1458354911yescharacteristic
730C4#1458355511yescharacteristic
731C4#1458356911yescharacteristic
732C2—81no—
733C2—82no—
734C2#1913793311yescharacteristic
735C2#1914386711yescharacteristic
736C2#1914391411yescharacteristic
737C2#1914481711yescharacteristic
738C2#1914487311yescharacteristic
739C2#1914602211yescharacteristic
740C2#1914605911yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2000C2
socleC23×C43C22×D4
prime radicalC2×#121×C43C22
hypercenter#2000D43
hypocenterC43#24169
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2000

Complements

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

NH ≅ G/Ntype
2. C2×#14583182C2semidirect
3. C2×#14583119C2semidirect
4. #19137279C2semidirect
5. #19135792C2semidirect
7. #19135603C2semidirect
8. #19135541C2semidirect
9. #19135526C2semidirect
10. #19134933C2semidirect
11. #19134931C2semidirect
12. #19134864C2semidirect
13. #19134858C2semidirect
14. #19134577C2semidirect
433. C43#24169semidirect

Maximal subgroups

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

subgroupindex
C2×#145835162
C2×#145831822
C2×#145831192
#191372792
#191357922
#191357812
#191356032
#191355412
#191355262
#191349332
#191349312
#191348642
#191348582
#191345772
C43×#20002
#2416943