Finite Group Databasebeta

← #25102388

Subgroups — #25102388

Order 11008.

1344 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583376C211yesmaximal, characteristic
2C2×#14583057C211yesmaximal, characteristic
3C2×#14583005C211yesmaximal, characteristic, complemented
4C2×#14582993C211yesmaximal, characteristic, complemented
5#19137273C211yesmaximal, characteristic
6#19134937C211yesmaximal, characteristic, complemented
7#19134937C211yesmaximal, characteristic, complemented
8#19134907C211yesmaximal, characteristic
9#19134860C211yesmaximal, characteristic, complemented
10#19134846C211yesmaximal, characteristic, complemented
11#19134529C211yesmaximal, characteristic
12#19134424C211yesmaximal, characteristic, complemented
13#19134414C211yesmaximal, characteristic, complemented
14#19134363C211yesmaximal, characteristic
15C43×#1854C211yesmaximal, characteristic
16C23×Dic86C2211yescharacteristic
17C22×Dic172C2211yescharacteristic
18C22×Dic172C2211yescharacteristic
19C2×#13063304C2211yescharacteristic
20#14583376—24no—
21#14583376—24no—
22C2×C4×Dic86—21no—
23C2×C4×Dic86—21no—
24C2×#13063290C2211yescharacteristic
25C2×#13063290C2211yescharacteristic
26C2×#13063290C2211yescharacteristic
27C2×#13063290C2211yescharacteristic
28C2×#13063290C2211yescharacteristic
29C2×#13063284C2211yescharacteristic
30C2×#13063281—21no—
31C2×#13063281—21no—
32#14583057C418yescomplemented
33#14583005—24no—
34#14582993—24no—
35C2×#13063250C2211yescharacteristic
36C2×#13063250C2211yescharacteristic
37C2×#13063248C2211yescharacteristic
38C2×#13063248C2211yescharacteristic
39C2×#13063248C2211yescharacteristic
40C2×#13063248C2211yescharacteristic
41C2×#13063248C2211yescharacteristic
42C2×#13063248C2211yescharacteristic
43C2×C22⋊(C43⋊C8)C2211yescharacteristic
44C2×#13063235C2211yescharacteristic
45C2×C8×Dic43C2211yescharacteristic
46#14582804C2211yescharacteristic
47#14582796—21no—
48#14582795C2211yescharacteristic
49#14582793—21no—
50#14582787—21no—
51#14582786—21no—
52C4⋊C4×Dic43C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55#14582653C2211yescharacteristic
56#14582653C2211yescharacteristic
57C2×#117×C43C2211yescharacteristic
58C2×#107×C43C2211yescharacteristic
59C2×#106×C43C2211yescharacteristic
60C2×C22⋊C8×C43C2211yescharacteristic
61C43×#380C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C43×#340C2211yescharacteristic
64C22×Dic86—21no—
65C22×Dic86—22no—
66C22×Dic86—22no—
67C22×Dic86—22no—
68C22×Dic86—22no—
69C22×Dic86—22no—
70C22×Dic86C2×C414yes—
71C22×Dic86C2311yescharacteristic
72C22×Dic86C2311yescharacteristic
73C22×Dic86C2311yescharacteristic
74C23×Dic43—21no—
75C2×Dic172—22no—
76C2×Dic172—22no—
77C2×Dic172—22no—
78C2×Dic172—22no—
79C2×Dic172C2×C414yes—
80C2×Dic172C2×C414yes—
81C22×C43⋊C8C2311yescharacteristic
82C22×C43⋊C8C2311yescharacteristic
83#13063304—22no—
84#13063304C2×C414yes—
85C4×Dic86—28no—
86C4×Dic86—28no—
87#13063290—22no—
88#13063290—22no—
89#13063290—22no—
90#13063290—22no—
91#13063290—22no—
92#13063290—22no—
93#13063290—22no—
94#13063290—22no—
95#13063290D414yes—
96#13063290D414yes—
97#13063284—22no—
98#13063284—22no—
99#13063281—28no—
100#13063281—28no—
101C2×C4⋊Dic43D411yescharacteristic
102C2×C4⋊Dic43D411yescharacteristic
103C2×C4⋊Dic43C2311yescharacteristic
104C2×Dic43⋊C4—21no—
105C2×Dic43⋊C4—21no—
106C2×Dic43⋊C4—21no—
107C2×Dic43⋊C4—21no—
108C2×Dic43⋊C4—21no—
109C2×Dic43⋊C4—21no—
110C2×Dic43⋊C4—21no—
111C2×C22⋊Dic43—21no—
112C2×C22⋊Dic43D411yescharacteristic
113C2×C22⋊Dic43D411yescharacteristic
114C2×C4×Dic43—21no—
115C2×C4×Dic43—21no—
116C2×C4×Dic43—21no—
117C2×C4×Dic43—21no—
118C2×C4×Dic43—21no—
119C2×C4×Dic43—21no—
120C2×C4×Dic43C2311yescharacteristic
121C2×C4×Dic43C2311yescharacteristic
122#13063250C2×C414yes—
123#13063250C2×C414yes—
124#13063248—22no—
125#13063248—22no—
126#13063248—22no—
127#13063248—22no—
128#13063248—22no—
129#13063248—22no—
130C22⋊(C43⋊C8)—22no—
131#13063235—22no—
132C8×Dic43—22no—
133C43⋊#95—21no—
134C43⋊#95—21no—
135C43⋊#95—21no—
136C43⋊#95—21no—
137C23×C4×C43C2311yescharacteristic
138C22×C8×C43C2311yescharacteristic
139C22×C8×C43C2311yescharacteristic
140#117×C43—22no—
141#117×C43—22no—
142C2×C4⋊C4×C43C2311yescharacteristic
143C2×C4⋊C4×C43C2311yescharacteristic
144C2×C4⋊C4×C43C2311yescharacteristic
145C2×C4⋊C4×C43C2311yescharacteristic
146C2×C22⋊C4×C43—21no—
147C2×C22⋊C4×C43—21no—
148C2×C42×C43—21no—
149#107×C43—22no—
150#106×C43—22no—
151C22⋊C8×C43C2×C414yes—
152#95×C43—21no—
153C24×C43C2×D411yescharacteristic
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43C22×C412yes—
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43#4112yes—
165C22×C4×C43C2411yescharacteristic
166C22×Dic43—24no—
167C22×Dic43—24no—
168C22×Dic43—24no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43—21no—
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176C22×Dic43C2×D411yescharacteristic
177C2×Dic86—24no—
178C2×Dic86—24no—
179C2×Dic86—28no—
180C2×Dic86—28no—
181C2×Dic86—24no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—28no—
189C2×Dic86—28no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86—21no—
193C2×Dic86—21no—
194C2×Dic86—21no—
195C2×Dic86C22×C412yes—
196C2×Dic86C22×C412yes—
197C2×Dic86C22×C412yes—
198C2×Dic86C2×D412yes—
199C2×Dic86C2×D412yes—
200C2×Dic86#4112yes—
201C2×Dic86#4112yes—
202C2×C8×C43—21no—
203C2×C8×C43—21no—
204C2×C8×C43—21no—
205C2×C8×C43—21no—
206C2×C8×C43C22×C412yes—
207C2×C8×C43C22×C412yes—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—21no—
210C4⋊C4×C43—21no—
211C4⋊C4×C43—21no—
212C4⋊C4×C43—21no—
213C4⋊C4×C43—21no—
214C4⋊C4×C43C2×D412yes—
215C4⋊C4×C43C2×D412yes—
216C22⋊C4×C43—24no—
217C22⋊C4×C43—81no—
218C42×C43—24no—
219C22⋊Dic43—22no—
220C22⋊Dic43—22no—
221C22⋊Dic43—24no—
222C4⋊Dic43—21no—
223C4⋊Dic43—22no—
224C4⋊Dic43—22no—
225C4⋊Dic43C22×C412yes—
226Dic43⋊C4—24no—
227Dic43⋊C4—24no—
228Dic43⋊C4—24no—
229Dic43⋊C4—24no—
230Dic43⋊C4—24no—
231Dic43⋊C4—42no—
232Dic43⋊C4—81no—
233C4×Dic43—24no—
234C4×Dic43—24no—
235C4×Dic43—21no—
236C4×Dic43—21no—
237C4×Dic43—24no—
238C4×Dic43—24no—
239C4×Dic43—42no—
240C4×Dic43—81no—
241C4×Dic43C2×D412yes—
242C4×Dic43C2×D412yes—
243C2×C43⋊C8—21no—
244C2×C43⋊C8—21no—
245C2×C43⋊C8—21no—
246C2×C43⋊C8—21no—
247C2×C43⋊C8—21no—
248C2×C43⋊C8—21no—
249Dic172—28no—
250Dic172—28no—
251C23×C43—21no—
252C23×C43—21no—
253C23×C43—21no—
254C23×C43—21no—
255C23×C43—21no—
256C23×C43—21no—
257C23×C43C4×D412yes—
258C23×C43C22×D411yescharacteristic
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
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—41no—
277C2×C4×C43C4×D412yes—
278C2×C4×C43C23×C411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×Dic43—216no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—21no—
298C2×Dic43—21no—
299C2×Dic43—21no—
300C2×Dic43—21no—
301C2×Dic43—21no—
302C2×Dic43—21no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43#12012yes—
308C2×Dic43#12012yes—
309Dic86—216no—
310Dic86—22no—
311Dic86—22no—
312Dic86—22no—
313Dic86—22no—
314Dic86—22no—
315Dic86—22no—
316Dic86—22no—
317Dic86—22no—
318Dic86—41no—
319Dic86—41no—
320Dic86C4×D414yes—
321Dic86C4×D414yes—
322C8×C43—22no—
323C8×C43—22no—
324C43⋊C8—41no—
325C43⋊C8—41no—
326#21463—431nomaximal, Sylow
327C22×C43—22no—
328C22×C43—22no—
329C22×C43—22no—
330C22×C43—41no—
331C22×C43—41no—
332C22×C43—41no—
333C22×C43—41no—
334C22×C43C2×C4×D411yescharacteristic
335C22×C43C2×#12011yescharacteristic
336C22×C43#52511yescharacteristic
337C22×C43#57711yescharacteristic
338C22×C43#57811yescharacteristic
339C22×C43#57811yescharacteristic
340C22×C43#57811yescharacteristic
341C4×C43—22no—
342C4×C43—42no—
343C4×C43—42no—
344C4×C43—81no—
345C4×C43—81no—
346C4×C43C2×C4×D411yescharacteristic
347C4×C43C2×C4×D411yescharacteristic
348C4×C43#52511yescharacteristic
349C4×C43#52511yescharacteristic
350Dic43—22no—
351Dic43—22no—
352Dic43—24no—
353Dic43—24no—
354Dic43—42no—
355Dic43—41no—
356Dic43—41no—
357Dic43—42no—
358C2×#519—431no—
359C2×#451—431no—
360C2×#441—431no—
361C2×C4×Q16—431no—
362#2323—431no—
363#1878—431no—
364#1878—431no—
365#1873—431no—
366#1865—431no—
367#1863—431no—
368#1854D4311yescharacteristic
369#1787—431no—
370#1763—431no—
371C4×#103—431no—
372#1750—431no—
373C2×C43—42no—
374C2×C43C4×#12011yescharacteristic
375C2×C43#294711yescharacteristic
376C2×C43#295011yescharacteristic
377C2×C43#301111yescharacteristic
378C2×C43#301311yescharacteristic
379C2×C43#312111yescharacteristic
380C2×C43#312711yescharacteristic
381C23×Q8—431no—
382C22×Q16—431no—
383C22×Q16—431no—
384C2×C22⋊Q8—431no—
385#519—864no—
386#519—864no—
387C2×C4×Q8—431no—
388C2×C4×Q8—431no—
389C2×C4×Q8—431no—
390C2×C4×Q8—431no—
391C2×C4×Q8—431no—
392C2×C4×Q8—861no—
393C2×C4×Q8—861no—
394C2×#117—431no—
395C2×#117—861no—
396C2×#117—861no—
397C2×#117C2×D4311yescharacteristic
398#451—438no—
399#441—864no—
400C4×Q16—864no—
401C2×#107C2×D4311yescharacteristic
402C2×#106C2×D4311yescharacteristic
403C2×#103—431no—
404C2×#103—431no—
405C2×#103—431no—
406C2×#103—431no—
407C2×#103—431no—
408C2×#103—431no—
409C2×#103—431no—
410C2×#103—431no—
411C2×C22⋊C8—431no—
412C2×C22⋊C8C2×D4311yescharacteristic
413C2×#97—431no—
414C2×C4×C8—431no—
415#391—431no—
416#389—431no—
417#389—861no—
418#388—861no—
419#388—861no—
420#387—861no—
421#380C2×D4311yescharacteristic
422C4×C4⋊C4—431no—
423#340—431no—
424#340—431no—
425#340C2×D4311yescharacteristic
426#340C2×D4311yescharacteristic
427#336—431no—
428#336—431no—
429C43#2146311yescharacteristic, complemented, Sylow
430C22×Q8—434no—
431C22×Q8—431no—
432C22×Q8—431no—
433C22×Q8—431no—
434C22×Q8—862no—
435C22×Q8—862no—
436C22×Q8—862no—
437C22×Q8—862no—
438C22×Q8—861no—
439C22×Q8—862no—
440C23×C4—861no—
441C23×C4C22×D4311yescharacteristic
442C2×Q16—434no—
443C2×Q16—434no—
444C2×Q16—862no—
445C2×Q16—862no—
446C2×Q16—862no—
447C2×Q16—862no—
448C22×C8—431no—
449C22×C8—431no—
450C22×C8C22×D4311yescharacteristic
451C22×C8C22×D4311yescharacteristic
452C22⋊Q8—434no—
453C22⋊Q8—862no—
454C4×Q8—434no—
455C4×Q8—434no—
456C4×Q8—868no—
457C4×Q8—868no—
458C4×Q8—862no—
459C4×Q8—862no—
460C4×Q8—862no—
461C4×Q8—862no—
462C4×Q8—862no—
463C4×Q8—862no—
464C4×Q8—862no—
465C4×Q8—862no—
466#117—22no—
467#117—22no—
468#117—862no—
469#117—862no—
470#117—868no—
471#117—868no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—431no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—861no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4C22×D4311yescharacteristic
483C2×C4⋊C4C22×D4311yescharacteristic
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×C42—21no—
492C2×C42—431no—
493C2×C42—431no—
494C2×C42—861no—
495C2×C42—861no—
496C2×C42—861no—
497C2×C42—861no—
498C2×C42—861no—
499C2×C42—861no—
500#107—22no—
501#106—22no—
502#103—434no—
503#103—434no—
504#103—862no—
505#103—862no—
506#103—862no—
507#103—862no—
508#103—862no—
509#103—862no—
510C22⋊C8—862no—
511C22⋊C8C4×D4314yes—
512#97—862no—
513C4×C8—862no—
514#95—21no—
515#95—861no—
516#95—861no—
517#95—861no—
518#95—861no—
519C24D4×D4311yescharacteristic
520C2×Q8—432no—
521C2×Q8—432no—
522C2×Q8—432no—
523C2×Q8—432no—
524C2×Q8—432no—
525C2×Q8—432no—
526C2×Q8—432no—
527C2×Q8—868no—
528C2×Q8—868no—
529C2×Q8—864no—
530C2×Q8—864no—
531C2×Q8—868no—
532C2×Q8—868no—
533C2×Q8—864no—
534C2×Q8—861no—
535C2×Q8—861no—
536C2×Q8—861no—
537C2×Q8—861no—
538C2×Q8—861no—
539C2×Q8—861no—
540C2×Q8—861no—
541C2×Q8—861no—
542C2×Q8—861no—
543C2×Q8—861no—
544C2×Q8—861no—
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—431no—
554C22×C4—431no—
555C22×C4—431no—
556C22×C4—431no—
557C22×C4—864no—
558C22×C4—864no—
559C22×C4—864no—
560C22×C4—861no—
561C22×C4—861no—
562C22×C4—861no—
563C22×C4—861no—
564C22×C4C2×C4×D4312yes—
565C22×C4D4×D4311yescharacteristic
566C22×C4#1062190212yes—
567C22×C4C23×D4311yescharacteristic
568Q16—868no—
569Q16—868no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—861no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8—861no—
580C2×C8C2×C4×D4312yes—
581C2×C8C2×C4×D4312yes—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—432no—
589C4⋊C4—862no—
590C4⋊C4—862no—
591C4⋊C4—864no—
592C4⋊C4—864no—
593C4⋊C4—864no—
594C4⋊C4—864no—
595C4⋊C4—864no—
596C4⋊C4—861no—
597C4⋊C4—3441no—
598C4⋊C4—1722no—
599C4⋊C4D4×D4312yes—
600C4⋊C4D4×D4312yes—
601C22⋊C4—24no—
602C22⋊C4—81no—
603C22⋊C4—862no—
604C22⋊C4—862no—
605C22⋊C4—864no—
606C42—24no—
607C42—432no—
608C42—432no—
609C42—864no—
610C42—864no—
611C42—864no—
612C42—864no—
613C42—861no—
614C42—861no—
615C42—3441no—
616C42—1722no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23#1306328712yes—
624C23C2×D4×D4311yescharacteristic
625Q8—434no—
626Q8—434no—
627Q8—8616no—
628Q8—862no—
629Q8—862no—
630Q8—862no—
631Q8—862no—
632Q8—862no—
633Q8—862no—
634Q8—862no—
635Q8—862no—
636Q8—1721no—
637Q8—1721no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—432no—
657C2×C4—432no—
658C2×C4—8616no—
659C2×C4—862no—
660C2×C4—862no—
661C2×C4—862no—
662C2×C4—862no—
663C2×C4—862no—
664C2×C4—862no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—862no—
670C2×C4—862no—
671C2×C4—861no—
672C2×C4—861no—
673C2×C4—861no—
674C2×C4—861no—
675C2×C4—861no—
676C2×C4—861no—
677C2×C4—1721no—
678C2×C4—1721no—
679C2×C4—1721no—
680C2×C4—1721no—
681C2×C4#1306328712yes—
682C2×C4C22×C4×D4311yescharacteristic
683C2×C4C2×D4×D4311yescharacteristic
684C2×C4C2×D4×D4311yescharacteristic
685C2×C4#41×D4311yescharacteristic
686C2×C4#41×D4311yescharacteristic
687C2×C4C2×#1062190211yescharacteristic
688C8—22no—
689C8—22no—
690C8—1721no—
691C8—1721no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22C2×#1306328711yescharacteristic
700C22#120×D4311yescharacteristic
701C22#1458340711yescharacteristic
702C22#1458370911yescharacteristic
703C22#1458371311yescharacteristic
704C22#1458371311yescharacteristic
705C22#1458371511yescharacteristic
706C4—22no—
707C4—42no—
708C4—42no—
709C4—81no—
710C4—81no—
711C4—864no—
712C4—864no—
713C4—862no—
714C4—862no—
715C4—1722no—
716C4—1722no—
717C4—1721no—
718C4—1721no—
719C4C4×D4×D4311yescharacteristic
720C4C4×D4×D4311yescharacteristic
721C4#1458341211yescharacteristic
722C4#1458341211yescharacteristic
723C2—42no—
724C2#1913709611yescharacteristic
725C2#1914343611yescharacteristic
726C2#1914346211yescharacteristic
727C2#1914388711yescharacteristic
728C2#1914390811yescharacteristic
729C2#1914481911yescharacteristic
730C2#1914489111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1854C2
socleC23×C43C22×D4
prime radicalC24×C43C2×D4
cosocleC22×C4×C43C24
hypercenter#1854D43
hypocenterC43#21463
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1854

Complements

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

NH ≅ G/Ntype
3. C2×#14583005C2semidirect
4. C2×#14582993C2semidirect
6. #19134937C2semidirect
7. #19134937C2semidirect
9. #19134860C2semidirect
10. #19134846C2semidirect
12. #19134424C2semidirect
13. #19134414C2semidirect
32. #14583057C4semidirect
429. C43#21463semidirect

Maximal subgroups

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

subgroupindex
C2×#145833762
C2×#145830572
C2×#145830052
C2×#145829932
#191372732
#191349372
#191349072
#191348602
#191348462
#191345292
#191344242
#191344142
#191343632
C43×#18542
#2146343