Finite Group Databasebeta

← #25124992

Subgroups — #25124992

Order 11008.

1122 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×#14583514C211yesmaximal, characteristic
2C2×#14582999C211yesmaximal, characteristic, complemented
3C2×C4×Dic172C211yesmaximal, characteristic, complemented
4#19137278C211yesmaximal, characteristic, complemented
5#19135922C211yesmaximal, characteristic, complemented
6#19135835C211yesmaximal, characteristic, complemented
7#19135801C211yesmaximal, characteristic, complemented
8#19135776C211yesmaximal, characteristic
9#19135735C211yesmaximal, characteristic, complemented
10#19135691C211yesmaximal, characteristic, complemented
11#19135606C211yesmaximal, characteristic, complemented
12#19135599C211yesmaximal, characteristic
13#19134428C211yesmaximal, characteristic, complemented
14#19134362C211yesmaximal, characteristic, complemented
15C4×#102×C43C211yesmaximal, characteristic, complemented
16C22×Dic172C2211yescharacteristic
17C22×#10621883C2211yescharacteristic
18#14583514—24no—
19#14583514—24no—
20C2×#13063324C2211yescharacteristic
21C2×#13063318—21no—
22C2×#13063312C2211yescharacteristic
23C2×#13063311—21no—
24C2×#13063308—21no—
25C2×#13063305C2211yescharacteristic
26C2×#13063305C2211yescharacteristic
27C2×#13063304—21no—
28C2×#13063296C2211yescharacteristic
29C2×C4×Dic86C2211yescharacteristic
30C2×C4×Dic86C2211yescharacteristic
31C2×#13063282C2211yescharacteristic
32#14582999—24no—
33C4×Dic172—24no—
34C2×#13063259C2211yescharacteristic
35C2×#13063258C2211yescharacteristic
36C2×#13063250C2211yescharacteristic
37C2×#13063250C2211yescharacteristic
38C2×#13063248C2211yescharacteristic
39C2×#13063248C2211yescharacteristic
40C2×#13063248C2211yescharacteristic
41C2×#13063246C2211yescharacteristic
42C2×(C2×D43)⋊C8C2211yescharacteristic
43C2×(C2×D43)⋊C8C2211yescharacteristic
44C2×#13063236C2211yescharacteristic
45#14582804C2211yescharacteristic
46#14582798C2211yescharacteristic
47#14582797—21no—
48#14582791—21no—
49#14582790—21no—
50#14582784—21no—
51#14582756C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×C4×C8×C43C2211yescharacteristic
60C4×C4⋊C4×C43C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C22×Dic86—21no—
64C22×Dic86C2311yescharacteristic
65C22×Dic86C2311yescharacteristic
66C22×C22⋊D43—21no—
67C22×C4×D43C2311yescharacteristic
68C2×Dic172—22no—
69C2×Dic172—22no—
70C2×Dic172—22no—
71C2×#10621883—22no—
72C2×#10621883—22no—
73C2×#10621883—22no—
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76#13063324—22no—
77#13063324—22no—
78#13063318—28no—
79#13063312—22no—
80#13063312—22no—
81#13063311—28no—
82#13063308—28no—
83#13063305—22no—
84#13063305—22no—
85#13063305—22no—
86#13063305—22no—
87#13063304—28no—
88#13063296—22no—
89#13063296—22no—
90C4×Dic86—22no—
91C4×Dic86—22no—
92C4×Dic86—22no—
93C4×Dic86D414yes—
94#13063282—22no—
95#13063282—22no—
96C2×C4⋊Dic43—21no—
97C2×C4⋊Dic43—21no—
98C2×C4⋊Dic43—21no—
99C2×C4⋊Dic43C2311yescharacteristic
100C2×C4⋊Dic43C2311yescharacteristic
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4—21no—
104C2×Dic43⋊C4D411yescharacteristic
105C2×Dic43⋊C4D411yescharacteristic
106C2×C22⋊Dic43—21no—
107C2×C22⋊Dic43—21no—
108C2×C22⋊Dic43—21no—
109C2×(C2×D43)⋊C4—21no—
110C2×(C2×D43)⋊C4—21no—
111C2×(C2×D43)⋊C4—21no—
112C2×(C2×D43)⋊C4D411yescharacteristic
113C2×(C2×D43)⋊C4D411yescharacteristic
114C2×C4×Dic43—21no—
115C2×C4×Dic43—21no—
116C2×C4×Dic43C2311yescharacteristic
117#13063259—22no—
118#13063258—22no—
119#13063250—22no—
120#13063250—22no—
121#13063248—22no—
122#13063248—22no—
123#13063248—22no—
124#13063246—22no—
125(C2×D43)⋊C8—22no—
126(C2×D43)⋊C8—22no—
127#13063236—22no—
128C43⋊#95—21no—
129C43⋊#95—21no—
130C43⋊#95—21no—
131C43⋊#95—21no—
132C22×D4×C43C2311yescharacteristic
133C23×C4×C43—21no—
134C22×C8×C43C2311yescharacteristic
135C22×C8×C43C2311yescharacteristic
136C4×D4×C43—22no—
137C4×D4×C43D414yes—
138C2×C4⋊C4×C43C2311yescharacteristic
139C2×C4⋊C4×C43C2311yescharacteristic
140C2×C4⋊C4×C43C2311yescharacteristic
141C2×C22⋊C4×C43—21no—
142C2×C42×C43—21no—
143C2×C42×C43C2311yescharacteristic
144#102×C43—22no—
145#102×C43—22no—
146C4×C8×C43—22no—
147#95×C43—21no—
148C24×C43—21no—
149C23×D43C2×D411yescharacteristic
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43C2×D412yes—
156C22×C4×C43—24no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—81no—
161C22×C4×C43—81no—
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2411yescharacteristic
165C2×C22⋊D43—24no—
166C2×C22⋊D43—81no—
167C2×C22⋊D43—81no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×C4×D43—21no—
178C2×C4×D43—21no—
179C2×C4×D43—21no—
180C2×C4×D43—21no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—24no—
192C2×Dic86—81no—
193C2×Dic86—81no—
194C2×Dic86C2×D412yes—
195C2×Dic86#4112yes—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43#4112yes—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43C2×D412yes—
207C4⋊C4×C43#4112yes—
208C22⋊C4×C43—24no—
209C42×C43—81no—
210C42×C43C2×D412yes—
211C42×C43C2×D412yes—
212C22⋊Dic43—24no—
213C22⋊Dic43—24no—
214C22⋊Dic43—24no—
215#10621883—28no—
216(C2×D43)⋊C4—24no—
217(C2×D43)⋊C4—24no—
218(C2×D43)⋊C4—22no—
219(C2×D43)⋊C4—22no—
220(C2×D43)⋊C4—81no—
221C4⋊Dic43—24no—
222C4⋊Dic43—24no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226C4⋊Dic43—81no—
227C4⋊Dic43C2×D412yes—
228Dic43⋊C4—24no—
229Dic43⋊C4—24no—
230Dic43⋊C4—22no—
231Dic43⋊C4—22no—
232Dic43⋊C4—42no—
233C4×Dic43—24no—
234C4×Dic43—21no—
235C4×Dic43—21no—
236C4×Dic43—42no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8—21no—
241C2×C43⋊C8—21no—
242C2×C43⋊C8#4112yes—
243Dic172—28no—
244C23×C43—22no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43C22×D411yescharacteristic
252C22×D43—21no—
253C22×D43—21no—
254C22×D43—21no—
255C22×D43—21no—
256C22×D43—21no—
257C22×D43—21no—
258C22×D43—21no—
259D4×C43—22no—
260D4×C43—22no—
261D4×C43—41no—
262D4×C43—41no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—84no—
277C2×C4×C43#12012yes—
278C2×C4×C43#12012yes—
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C22⋊D43—84no—
286C2×Dic43—21no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—22no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C4×D43—41no—
308C4×D43—41no—
309C4×D43—41no—
310C4×D43—41no—
311Dic86—22no—
312Dic86—22no—
313Dic86—22no—
314Dic86—22no—
315Dic86—41no—
316Dic86—41no—
317Dic86—41no—
318Dic86—41no—
319Dic86—84no—
320C8×C43—22no—
321C8×C43—41no—
322C43⋊C8—22no—
323C43⋊C8—41no—
324#23585—431nomaximal, Sylow
325C22×C43—42no—
326C22×C43—42no—
327C22×C43—42no—
328C22×C43—81no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43C2×#12011yescharacteristic
333C22×C43#52511yescharacteristic
334C22×C43#53211yescharacteristic
335C22×C43#57611yescharacteristic
336C22×C43#57711yescharacteristic
337C22×C43#57811yescharacteristic
338C22×C43#57811yescharacteristic
339C2×D43—41no—
340C2×D43—41no—
341C2×D43—41no—
342C2×D43—41no—
343C2×D43—41no—
344C2×D43—41no—
345C2×D43—41no—
346C4×C43—22no—
347C4×C43—22no—
348C4×C43—42no—
349C4×C43—42no—
350C4×C43—81no—
351C4×C43#52511yescharacteristic
352C4×C43#52511yescharacteristic
353C4×C43#53211yescharacteristic
354C4×C43#53211yescharacteristic
355Dic43—42no—
356Dic43—42no—
357Dic43—41no—
358Dic43—41no—
359Dic43—41no—
360Dic43—42no—
361Dic43—81no—
362C2×#542—431no—
363C2×#440—431no—
364C2×C4×Q16—431no—
365#2323—431no—
366#2057—431no—
367#2042—431no—
368#2036—431no—
369#2033—431no—
370#2024—431no—
371#2015—431no—
372#2001—431no—
373#2000—431no—
374#1763—431no—
375C4×#102D4311yescharacteristic, complemented
376#1750—431no—
377C2×C43—82no—
378C2×C43#238811yescharacteristic
379C2×C43#301111yescharacteristic
380C2×C43#301211yescharacteristic
381C2×C43#312111yescharacteristic
382C2×C43#312411yescharacteristic
383C2×C43#317511yescharacteristic
384C2×C43#317811yescharacteristic
385D43—81no—
386C22×Q16—431no—
387C22×SD16—431no—
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—431no—
397C2×C22⋊Q8—861no—
398C2×#121—431no—
399C2×C4×Q8—431no—
400C2×C4×Q8—431no—
401C2×C4×D4C2×D4311yescharacteristic
402C2×#117—431no—
403#440—864no—
404C4×Q16—864no—
405C2×#107—431no—
406C2×#107—431no—
407C2×#103—431no—
408C2×#103—431no—
409C2×#103—431no—
410C2×#103—431no—
411C2×#103—431no—
412C2×#102—431no—
413C2×#102C2×D4311yescharacteristic
414C2×#102C2×D4311yescharacteristic
415C2×C22⋊C8—431no—
416C2×C22⋊C8—431no—
417C2×#97—431no—
418C2×C4×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⋊C4C2×D4311yescharacteristic
427#340—431no—
428#340—431no—
429#340C2×D4311yescharacteristic
430#340C2×D4311yescharacteristic
431#336—431no—
432#336—431no—
433C43#2358511yescharacteristic, complemented, Sylow
434C22×Q8—431no—
435C22×Q8—431no—
436C22×Q8—861no—
437C22×D4—861no—
438C22×D4C22×D4311yescharacteristic
439C23×C4—21no—
440C23×C4—431no—
441C2×Q16—862no—
442C2×Q16—862no—
443C2×Q16—862no—
444C2×SD16—862no—
445C2×SD16—862no—
446C2×SD16—862no—
447C22×C8—431no—
448C22×C8—431no—
449C22×C8C22×D4311yescharacteristic
450C22×C8C22×D4311yescharacteristic
451C4⋊Q8—862no—
452C4⋊Q8—862no—
453#126—868no—
454#124—868no—
455#124—862no—
456#124—862no—
457#123—868no—
458C22⋊Q8—862no—
459C22⋊Q8—862no—
460C22⋊Q8—868no—
461C22⋊Q8—862no—
462C22⋊Q8—862no—
463#121—862no—
464#121—862no—
465C4×Q8—434no—
466C4×Q8—862no—
467C4×Q8—862no—
468C4×Q8—862no—
469C4×D4—22no—
470C4×D4D17214yes—
471#117—862no—
472#117—862no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—431no—
475C2×C4⋊C4—431no—
476C2×C4⋊C4—431no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—861no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4—861no—
483C2×C4⋊C4C22×D4311yescharacteristic
484C2×C4⋊C4C22×D4311yescharacteristic
485C2×C4⋊C4C22×D4311yescharacteristic
486C2×C22⋊C4—21no—
487C2×C22⋊C4—431no—
488C2×C22⋊C4—431no—
489C2×C22⋊C4—861no—
490C2×C22⋊C4—861no—
491C2×C22⋊C4—861no—
492C2×C22⋊C4—861no—
493C2×C22⋊C4—861no—
494C2×C22⋊C4—861no—
495C2×C42—21no—
496C2×C42—431no—
497C2×C42—861no—
498C2×C42—861no—
499C2×C42C22×D4311yescharacteristic
500#107—862no—
501#107—862no—
502#103—862no—
503#103—862no—
504#103—862no—
505#103—862no—
506#103—862no—
507#102—22no—
508#102—22no—
509#102—862no—
510C22⋊C8—862no—
511C22⋊C8—862no—
512#97—862no—
513C4×C8—22no—
514#95—21no—
515#95—861no—
516#95—861no—
517#95—861no—
518#95—861no—
519C24—21no—
520C24—431no—
521C2×Q8—432no—
522C2×Q8—432no—
523C2×Q8—864no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8—861no—
529C2×Q8—861no—
530C2×Q8—861no—
531C2×Q8—861no—
532C2×Q8—861no—
533C2×Q8—861no—
534C2×Q8—3441no—
535C2×Q8—3441no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—864no—
542C2×D4—3441no—
543C2×D4—3441no—
544C2×D4C2×D17212yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—24no—
548C22×C4—21no—
549C22×C4—81no—
550C22×C4—81no—
551C22×C4—431no—
552C22×C4—431no—
553C22×C4—431no—
554C22×C4—861no—
555C22×C4—861no—
556C22×C4—861no—
557C22×C4—861no—
558C22×C4—861no—
559C22×C4—861no—
560C22×C4—861no—
561C22×C4—861no—
562C22×C4—861no—
563C22×C4—861no—
564C22×C4D4×D4311yescharacteristic
565C22×C4D4×D4311yescharacteristic
566C22×C4C23×D4311yescharacteristic
567Q16—868no—
568SD16—868no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—432no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8—861no—
580C2×C8#1062189812yes—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—432no—
586C4⋊C4—864no—
587C4⋊C4—864no—
588C4⋊C4—864no—
589C4⋊C4—862no—
590C4⋊C4—862no—
591C4⋊C4—864no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4—861no—
595C4⋊C4—3441no—
596C4⋊C4—1722no—
597C4⋊C4C2×D17212yes—
598C4⋊C4#1062189812yes—
599C22⋊C4—24no—
600C22⋊C4—864no—
601C22⋊C4—864no—
602C22⋊C4—864no—
603C22⋊C4—864no—
604C22⋊C4—864no—
605C22⋊C4—862no—
606C22⋊C4—862no—
607C22⋊C4—3441no—
608C42—81no—
609C42—864no—
610C42—861no—
611C42—861no—
612C42—1722no—
613C42C2×D17212yes—
614C42D4×D4312yes—
615C23—22no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—861no—
623C23—861no—
624C23—861no—
625C23—861no—
626C23—861no—
627C23—861no—
628C23—861no—
629C23C2×D4×D4311yescharacteristic
630Q8—862no—
631Q8—862no—
632Q8—862no—
633Q8—862no—
634Q8—3444no—
635Q8—1721no—
636Q8—1721no—
637Q8—1721no—
638Q8—1721no—
639D4—22no—
640D4—22no—
641D4—41no—
642D4—41no—
643D4—3444no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—84no—
658C2×C4—861no—
659C2×C4—862no—
660C2×C4—861no—
661C2×C4—862no—
662C2×C4—861no—
663C2×C4—862no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
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#1306329512yes—
684C2×C4#1306329512yes—
685C2×C4C2×D4×D4311yescharacteristic
686C2×C4C22×D17211yescharacteristic
687C2×C4#41×D4311yescharacteristic
688C2×C4#41×D4311yescharacteristic
689C2×C4C2×#1062189811yescharacteristic
690C2×C4C2×#1062189811yescharacteristic
691C8—22no—
692C8—41no—
693C8—862no—
694C8—1721no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—1721no—
703C22—1721no—
704C22—1721no—
705C22—1721no—
706C22—1721no—
707C22—1721no—
708C22—1721no—
709C22C2×#1306329511yescharacteristic
710C22#1458340811yescharacteristic
711C22#1458344611yescharacteristic
712C22#1458370011yescharacteristic
713C22#1458370511yescharacteristic
714C22#1458371311yescharacteristic
715C22#1458371311yescharacteristic
716C4—22no—
717C4—22no—
718C4—42no—
719C4—42no—
720C4—81no—
721C4—3441no—
722C4—1721no—
723C4—1722no—
724C4—1722no—
725C4—1721no—
726C4—1721no—
727C4—1722no—
728C4#1458340811yescharacteristic
729C4#1458341111yescharacteristic
730C4#1458344611yescharacteristic
731C4#1458344911yescharacteristic
732C2—82no—
733C2—3441no—
734C2#1913781111yescharacteristic
735C2#1914389311yescharacteristic
736C2#1914390411yescharacteristic
737C2#1914482011yescharacteristic
738C2#1914485311yescharacteristic
739C2#1914523011yescharacteristic
740C2#1914525911yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC4×#102×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063296C22
hypercenterC4×#102D43
hypocenterC43#23585
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
2. C2×#14582999C2semidirect
3. C2×C4×Dic172C2semidirect
4. #19137278C2semidirect
5. #19135922C2semidirect
6. #19135835C2semidirect
7. #19135801C2semidirect
9. #19135735C2semidirect
10. #19135691C2semidirect
11. #19135606C2semidirect
13. #19134428C2semidirect
14. #19134362C2semidirect
15. C4×#102×C43C2semidirect
375. C4×#102D43semidirect
433. C43#23585semidirect

Maximal subgroups

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

subgroupindex
C2×#145835142
C2×#145829992
C2×C4×Dic1722
#191372782
#191359222
#191358352
#191358012
#191357762
#191357352
#191356912
#191356062
#191355992
#191344282
#191343622
C4×#102×C432
#2358543