Finite Group Databasebeta

← #25135403

Subgroups — #25135403

Order 11008.

986 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×#14583042C211yesmaximal, characteristic
2C2×#14582957C211yesmaximal, characteristic, complemented
3#19140385C211yesmaximal, characteristic, complemented
4#19137188C211yesmaximal, characteristic, complemented
5#19135991C211yesmaximal, characteristic, complemented
6#19135984C211yesmaximal, characteristic, complemented
7#19135911C211yesmaximal, characteristic, complemented
8#19135904C211yesmaximal, characteristic, complemented
9#19135477C211yesmaximal, characteristic, complemented
10#19135458C211yesmaximal, characteristic, complemented
11#19135290C211yesmaximal, characteristic, complemented
12#19135269C211yesmaximal, characteristic, complemented
13#19134783C211yesmaximal, characteristic, complemented
14#19134536C211yesmaximal, characteristic, complemented
15C43×#1874C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C22×#10621883C2211yescharacteristic
18C22×#10621882C2211yescharacteristic
19C2×#13063284C2211yescharacteristic
20#14583042—24no—
21#14582957—24no—
22C2×#13063258C2211yescharacteristic
23C2×#13063258C2211yescharacteristic
24C2×Dic43⋊C8C2211yescharacteristic
25C2×Dic43⋊C8C2211yescharacteristic
26C2×#13063250C2211yescharacteristic
27C2×#13063250C2211yescharacteristic
28C2×#13063248C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063245C2211yescharacteristic
32C2×C22⋊(C43⋊C8)C2211yescharacteristic
33C2×#13063235C2211yescharacteristic
34C2×C8×Dic43C2211yescharacteristic
35#14582835—21no—
36#14582824—21no—
37#14582813—21no—
38#14582813—21no—
39#14582804C2211yescharacteristic
40#14582804C2211yescharacteristic
41#14582802C2211yescharacteristic
42#14582802C2211yescharacteristic
43#14582800C2211yescharacteristic
44#14582800C2211yescharacteristic
45#14582795C2211yescharacteristic
46#14582795C2211yescharacteristic
47#14582778—21no—
48#14582778—21no—
49#14582759C2211yescharacteristic
50#14582756—21no—
51#14582756—21no—
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54C2×#121×C43C2211yescharacteristic
55C22×C4⋊C4×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×C22⋊C8×C43C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C2×#10621898—22no—
62C2×#10621898—22no—
63C2×#10621898—22no—
64C2×#10621898—22no—
65C2×#10621898—41no—
66C2×#10621898—41no—
67C22×Dic86C2311yescharacteristic
68C22×D172C2311yescharacteristic
69C22×C22⋊D43—21no—
70C22×C4×D43—21no—
71C2×#10621883—22no—
72C2×#10621883—22no—
73C2×#10621883—41no—
74C2×#10621882—22no—
75C2×#10621882—22no—
76C2×#10621882—41no—
77C22×C43⋊C8C2311yescharacteristic
78C22×C43⋊C8C2311yescharacteristic
79#13063284—22no—
80#13063284—22no—
81C2×C4⋊Dic43D411yescharacteristic
82C2×C4⋊Dic43D411yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×Dic43⋊C4—21no—
86C2×Dic43⋊C4—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43D411yescharacteristic
93C2×C22⋊Dic43D411yescharacteristic
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×C4×Dic43C2311yescharacteristic
99C2×C4×Dic43C2311yescharacteristic
100#13063258—41no—
101#13063258—41no—
102Dic43⋊C8—22no—
103Dic43⋊C8—22no—
104#13063250—22no—
105#13063250—41no—
106#13063248—22no—
107#13063247—22no—
108#13063247—41no—
109#13063245—22no—
110C22⋊(C43⋊C8)D414yes—
111#13063235—22no—
112C8×Dic43—22no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C22×D4×C43—21no—
121C22×D4×C43C2311yescharacteristic
122C23×C4×C43—21no—
123C23×C4×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126#121×C43—22no—
127#121×C43—22no—
128C2×C4⋊C4×C43—21no—
129C2×C4⋊C4×C43—41no—
130C2×C4⋊C4×C43—41no—
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C22⋊C4×C43—21no—
135#102×C43—41no—
136#102×C43—41no—
137C22⋊C8×C43—22no—
138C24×C43—21no—
139C24×C43C2×D411yescharacteristic
140C23×D43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—42no—
148C2×D4×C43—81no—
149C2×D4×C43—81no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—42no—
158C22×C4×C43—81no—
159C22×C4×C43—81no—
160C22×C4×C43C2×D412yes—
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43#4112yes—
163C22×C4×C43C2411yescharacteristic
164C2×C22⋊D43—24no—
165C2×C22⋊D43—42no—
166C2×C22⋊D43—42no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174#10621898—44no—
175#10621898—44no—
176#10621898—44no—
177#10621898—44no—
178C2×D172—21no—
179C2×D172—21no—
180C2×D172—21no—
181C2×D172—21no—
182C2×D172—21no—
183C2×D172#4112yes—
184C2×C4×D43—24no—
185C2×C4×D43—42no—
186C2×C4×D43—42no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86#4112yes—
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—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—42no—
206C22⋊C4×C43—42no—
207C22⋊Dic43—22no—
208C22⋊Dic43—22no—
209C22⋊Dic43—81no—
210C22⋊Dic43—81no—
211C22⋊Dic43—81no—
212C22⋊Dic43—81no—
213C22⋊Dic43—81no—
214#10621883—44no—
215#10621882—44no—
216(C2×D43)⋊C4—81no—
217(C2×D43)⋊C4—81no—
218(C2×D43)⋊C4—81no—
219(C2×D43)⋊C4—81no—
220C4⋊Dic43—22no—
221C4⋊Dic43—22no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226Dic43⋊C4—81no—
227Dic43⋊C4—81no—
228C4×Dic43—21no—
229C4×Dic43—21no—
230C4×Dic43—21no—
231C4×Dic43—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8C2×D412yes—
237C2×C43⋊C8C2×D412yes—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43#12112yes—
252C23×C43C22×D411yescharacteristic
253C22×D43—22no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43—41no—
257C22×D43—41no—
258C22×D43—41no—
259C22×D43—41no—
260D4×C43—41no—
261D4×C43—41no—
262D4×C43—41no—
263D4×C43—41no—
264D4×C43—84no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—22no—
270C2×C4×C43—22no—
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×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—84no—
281C2×C4×C43#12112yes—
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43C2×#4111yescharacteristic
286C2×C4×C43H(5,𝔽2)11yescharacteristic
287C2×C4×C43H(5,𝔽2)11yescharacteristic
288C22⋊D43—48no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—22no—
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—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—41no—
308C2×Dic43—41no—
309C2×Dic43—41no—
310D172—22no—
311D172—22no—
312D172—41no—
313D172—41no—
314C4×D43—48no—
315Dic86—22no—
316Dic86—22no—
317Dic86—41no—
318Dic86—41no—
319C8×C43—41no—
320C8×C43—41no—
321C43⋊C8—22no—
322C43⋊C8—22no—
323#24513—431nomaximal, Sylow
324C22×C43—22no—
325C22×C43—22no—
326C22×C43—22no—
327C22×C43—41no—
328C22×C43—41no—
329C22×C43—41no—
330C22×C43—41no—
331C22×C43—81no—
332C22×C43—81no—
333C22×C43—81no—
334C22×C43—81no—
335C22×C43—81no—
336C22×C43—81no—
337C22×C43—81no—
338C22×C43C2×#12111yescharacteristic
339C22×C43#52511yescharacteristic
340C22×C43#53511yescharacteristic
341C22×C43#57611yescharacteristic
342C22×C43#57611yescharacteristic
343C22×C43#57711yescharacteristic
344C22×C43#57811yescharacteristic
345C2×D43—42no—
346C2×D43—42no—
347C2×D43—42no—
348C2×D43—81no—
349C2×D43—81no—
350C2×D43—81no—
351C2×D43—81no—
352C4×C43—22no—
353C4×C43—81no—
354C4×C43—81no—
355C4×C43—81no—
356C4×C43#54611yescharacteristic
357C4×C43#54611yescharacteristic
358C4×C43#55111yescharacteristic
359C4×C43#55111yescharacteristic
360Dic43—42no—
361Dic43—41no—
362Dic43—41no—
363Dic43—41no—
364Dic43—41no—
365Dic43—81no—
366Dic43—81no—
367C2×#449—431no—
368C2×#433—431no—
369#2624—431no—
370#2311—431no—
371#2068—431no—
372#2067—431no—
373#2055—431no—
374#2054—431no—
375#1973—431no—
376#1970—431no—
377#1936—431no—
378#1933—431no—
379#1874D4311yescharacteristic, complemented
380#1852—431no—
381#1788—431no—
382C2×C43—42no—
383C2×C43—161no—
384C2×C43#241111yescharacteristic
385C2×C43#306111yescharacteristic
386C2×C43#306211yescharacteristic
387C2×C43#311911yescharacteristic
388C2×C43#312411yescharacteristic
389C2×C43#322011yescharacteristic
390C2×C43#322511yescharacteristic
391D43—82no—
392C22×#41—431no—
393C22×SD16—431no—
394C22×D8—431no—
395C2×#121C2×D4311yescharacteristic
396C2×#117—431no—
397C22×C4⋊C4C2×D4311yescharacteristic
398#449—864no—
399#433—864no—
400C2×#107—431no—
401C2×#107—431no—
402C2×C4⋊C8—431no—
403C2×C4⋊C8—431no—
404C2×#103—431no—
405C2×#103—431no—
406C2×#103—431no—
407C2×#102—431no—
408C2×#102—431no—
409C2×#102—431no—
410C2×#102C2×D4311yescharacteristic
411C2×#102C2×D4311yescharacteristic
412C2×C22⋊C8—431no—
413C2×C22⋊C8C2×D4311yescharacteristic
414C2×#97—431no—
415C2×C4×C8—431no—
416#399—861no—
417#397—861no—
418#394—861no—
419#394—861no—
420#391—431no—
421#391—431no—
422#390—431no—
423#390—431no—
424#390—431no—
425#390—431no—
426#389—431no—
427#389—431no—
428#386—861no—
429#386—861no—
430#380—431no—
431#380—861no—
432#380—861no—
433#340—431no—
434#340—431no—
435#340C2×D4311yescharacteristic
436#340C2×D4311yescharacteristic
437C43#2451311yescharacteristic, complemented, Sylow
438C2×#41—862no—
439C2×#41—862no—
440C2×#41—862no—
441C2×#41—862no—
442C2×#41—1721no—
443C2×#41—1721no—
444C22×Q8—431no—
445C22×D4—21no—
446C22×D4—431no—
447C22×D4—861no—
448C22×D4C22×D4311yescharacteristic
449C23×C4—21no—
450C23×C4—861no—
451C23×C4C22×D4311yescharacteristic
452C2×SD16—862no—
453C2×SD16—862no—
454C2×SD16—1721no—
455C2×D8—862no—
456C2×D8—862no—
457C2×D8—1721no—
458C22×C8—431no—
459C22×C8—431no—
460C22×C8C22×D4311yescharacteristic
461C22×C8C22×D4311yescharacteristic
462#121—22no—
463#121—22no—
464#117—862no—
465#117—862no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—41no—
468C2×C4⋊C4—41no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4C22×D4311yescharacteristic
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—
492#107—1721no—
493#107—1721no—
494C4⋊C8—862no—
495C4⋊C8—862no—
496#103—862no—
497#103—862no—
498#103—1721no—
499#102—41no—
500#102—41no—
501#102—862no—
502#102—862no—
503#102—1721no—
504C22⋊C8—22no—
505C22⋊C8—434no—
506#97—862no—
507C4×C8—862no—
508#95—861no—
509#95—861no—
510#95—861no—
511#95—861no—
512#95—861no—
513#95—861no—
514#95—861no—
515C24—21no—
516C24—861no—
517C24D4×D4311yescharacteristic
518#41—1724no—
519#41—1724no—
520#41—1724no—
521#41—1724no—
522C2×Q8—432no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—42no—
535C2×D4—81no—
536C2×D4—81no—
537C2×D4—432no—
538C2×D4—864no—
539C2×D4—861no—
540C2×D4—861no—
541C2×D4—861no—
542C2×D4—861no—
543C2×D4—861no—
544C2×D4—1722no—
545C2×D4—1722no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—42no—
554C22×C4—81no—
555C22×C4—81no—
556C22×C4—431no—
557C22×C4—431no—
558C22×C4—431no—
559C22×C4—431no—
560C22×C4—864no—
561C22×C4—861no—
562C22×C4—861no—
563C22×C4—861no—
564C22×C4—1722no—
565C22×C4—1722no—
566C22×C4#1062189812yes—
567C22×C4D4×D4311yescharacteristic
568C22×C4D4×D4312yes—
569C22×C4C23×D4311yescharacteristic
570SD16—1724no—
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—432no—
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—21no—
589C4⋊C4—21no—
590C4⋊C4—42no—
591C4⋊C4—862no—
592C4⋊C4—862no—
593C4⋊C4—861no—
594C4⋊C4—861no—
595C4⋊C4—861no—
596C4⋊C4—861no—
597C4⋊C4—3441no—
598C4⋊C4—3441no—
599C22⋊C4—42no—
600C22⋊C4—862no—
601C22⋊C4—862no—
602C22⋊C4—3441no—
603C22⋊C4—3441no—
604C22⋊C4—3441no—
605C22⋊C4—3441no—
606C22⋊C4—3441no—
607C22⋊C4—3441no—
608C22⋊C4—3441no—
609C22⋊C4—3441no—
610C22⋊C4—3441no—
611C42—861no—
612C42—861no—
613C42—861no—
614C42—861no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—862no—
629C23—1721no—
630C23—1721no—
631C23—1721no—
632C23—1721no—
633C23—1721no—
634C23—1721no—
635C23#1306329812yes—
636C23C2×D4×D4311yescharacteristic
637Q8—862no—
638Q8—862no—
639Q8—1721no—
640Q8—1721no—
641D4—41no—
642D4—41no—
643D4—41no—
644D4—41no—
645D4—84no—
646D4—862no—
647D4—862no—
648D4—1728no—
649D4—1721no—
650D4—1721no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—41no—
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—84no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—862no—
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—1728no—
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#1306329812yes—
690C2×C4C2×D4×D4311yescharacteristic
691C2×C4#41×D4311yescharacteristic
692C2×C4#41×D4311yescharacteristic
693C2×C4C2×#1062189811yescharacteristic
694C2×C4#1306337011yescharacteristic
695C2×C4#1306337011yescharacteristic
696C8—41no—
697C8—41no—
698C8—862no—
699C8—862no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22—81no—
712C22—81no—
713C22—81no—
714C22—3441no—
715C22—3441no—
716C22—3441no—
717C22—3441no—
718C22—1722no—
719C22—1722no—
720C22—1722no—
721C22C2×#1306329811yescharacteristic
722C22#1458340711yescharacteristic
723C22#1458346411yescharacteristic
724C22#1458370011yescharacteristic
725C22#1458370311yescharacteristic
726C22#1458370511yescharacteristic
727C22#1458371511yescharacteristic
728C4—22no—
729C4—81no—
730C4—81no—
731C4—81no—
732C4—3441no—
733C4—3441no—
734C4—1721no—
735C4—1721no—
736C4—1721no—
737C4—1721no—
738C4—1722no—
739C4#1458353811yescharacteristic
740C4#1458353811yescharacteristic
741C4#1458357811yescharacteristic
742C4#1458357811yescharacteristic
743C2—42no—
744C2—161no—
745C2—3442no—
746C2#1913798311yescharacteristic
747C2#1914426411yescharacteristic
748C2#1914427311yescharacteristic
749C2#1914478911yescharacteristic
750C2#1914485211yescharacteristic
751C2#1914564111yescharacteristic
752C2#1914570211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1874C2
socleC23×C43C22×D4
prime radicalC2×#14583042C2
hypercenter#1874D43
hypocenterC43#24513
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1874

Complements

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

NH ≅ G/Ntype
2. C2×#14582957C2semidirect
3. #19140385C2semidirect
4. #19137188C2semidirect
5. #19135991C2semidirect
6. #19135984C2semidirect
7. #19135911C2semidirect
8. #19135904C2semidirect
9. #19135477C2semidirect
10. #19135458C2semidirect
11. #19135290C2semidirect
12. #19135269C2semidirect
13. #19134783C2semidirect
14. #19134536C2semidirect
15. C43×#1874C2semidirect
379. #1874D43semidirect
437. C43#24513semidirect

Maximal subgroups

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

subgroupindex
C2×#145830422
C2×#145829572
#191403852
#191371882
#191359912
#191359842
#191359112
#191359042
#191354772
#191354582
#191352902
#191352692
#191347832
#191345362
C43×#18742
#2451343