Finite Group Databasebeta

← #25140858

Subgroups — #25140858

Order 11008.

896 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19144569C211yesmaximal, characteristic, complemented
2#19143479C211yesmaximal, characteristic, complemented
3#19143121C211yesmaximal, characteristic, complemented
4#19136118C211yesmaximal, characteristic, complemented
5#19136040C211yesmaximal, characteristic, complemented
6#19135884C211yesmaximal, characteristic, complemented
7#19135821C211yesmaximal, characteristic, complemented
8#19135254C211yesmaximal, characteristic, complemented
9#19135240C211yesmaximal, characteristic, complemented
10#19134973C211yesmaximal, characteristic, complemented
11#19134924C211yesmaximal, characteristic, complemented
12#19134826C211yesmaximal, characteristic, complemented
13#19134657C211yesmaximal, characteristic, complemented
14#19134549C211yesmaximal, characteristic, complemented
15C43×#3012C211yesmaximal, characteristic
16C2×#13063332C2211yescharacteristic
17#14583382C2211yescharacteristic
18#14583382C2211yescharacteristic, complemented
19#14583237—21no—
20#14583232—21no—
21#14583220—21no—
22#14583210—21no—
23#14583011—21no—
24#14583006—21no—
25SD16×Dic43—21no—
26SD16×Dic43—21no—
27C2×#13063260C2211yescharacteristic, complemented
28#14582939C2211yescharacteristic, complemented
29C2×#13063258C2211yescharacteristic, complemented
30C2×#13063257C2211yescharacteristic, complemented
31C2×#13063252C2211yescharacteristic
32C2×#13063252C2211yescharacteristic
33C2×#13063252C2211yescharacteristic, complemented
34#14582904—21no—
35#14582904C2211yescharacteristic
36#14582900—21no—
37#14582900C2211yescharacteristic
38#14582900C2211yescharacteristic
39#14582900C2211yescharacteristic
40#14582900C2211yescharacteristic, complemented
41#14582895—21no—
42#14582895C2211yescharacteristic
43C2×#13063246—21no—
44C2×#13063246C2211yescharacteristic
45C2×#13063242C2211yescharacteristic
46#14582866C2211yescharacteristic, complemented
47#14582854C2211yescharacteristic, complemented
48#14582802C2211yescharacteristic
49#14582764C2211yescharacteristic, complemented
50#14582668C2211yescharacteristic, complemented
51#14582667C2211yescharacteristic, complemented
52#14582667C2211yescharacteristic, complemented
53#14582664C2211yescharacteristic, complemented
54#14582660C2211yescharacteristic, complemented
55#14582653C2211yescharacteristic, complemented
56C2×H(5,𝔽2)×C43C2211yescharacteristic
57C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
58C2×#135×C43C2211yescharacteristic
59C43×#537C2211yescharacteristic
60C43×#452—21no—
61C43×#450—21no—
62C43×#449—21no—
63C43×#447—21no—
64C43×#417C2211yescharacteristic
65C2×#102×C43C2211yescharacteristic
66C43×#408C2211yescharacteristic
67#13063332—22no—
68#13063332—41no—
69C2×#10621877—21no—
70C2×#10621877C2311yescharacteristic
71C2×#10621877C2311yescharacteristic
72C2×#10621877C2311yescharacteristic
73C22×C43⋊C8—21no—
74C22×C43⋊C8C2311yescharacteristic
75Q8×Dic43—21no—
76Q8×Dic43—21no—
77D4×Dic43—21no—
78D4×Dic43—21no—
79D4×Dic43—41no—
80D4×Dic43—41no—
81#13063284—21no—
82#13063284—21no—
83#13063284C2311yescharacteristic
84C2×C4⋊Dic43—21no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C22⋊Dic43—41no—
89C2×C4×Dic43C2311yescharacteristic
90#13063260—41no—
91#13063258—21no—
92#13063258—21no—
93#13063258—21no—
94#13063257—21no—
95#13063257—21no—
96#13063256—21no—
97#13063252—22no—
98#13063252—41no—
99#13063252—41no—
100#13063249—21no—
101#13063249—21no—
102#13063249—21no—
103#13063249—21no—
104#13063249D411yescharacteristic
105#13063249D411yescharacteristic
106#13063246—21no—
107#13063246—21no—
108#13063246—21no—
109#13063246—21no—
110#13063246—21no—
111#13063246—21no—
112#13063246—21no—
113#13063246—21no—
114#13063246D411yescharacteristic
115#13063246D411yescharacteristic
116#13063242—22no—
117C22⋊(C43⋊C8)—21no—
118C22⋊(C43⋊C8)—21no—
119#13063235—21no—
120C8×Dic43—21no—
121C43⋊#95—41no—
122H(5,𝔽2)×C43—22no—
123H(5,𝔽2)×C43—22no—
124H(5,𝔽2)×C43—22no—
125H(5,𝔽2)×C43—41no—
126C2×#41×C43—21no—
127C2×#41×C43—21no—
128C2×#41×C43C2311yescharacteristic
129C2×#41×C43C2311yescharacteristic
130C2×#41×C43C2311yescharacteristic
131C22×D4×C43—21no—
132C22×D4×C43—21no—
133C22×D4×C43—41no—
134C22×D4×C43C2311yescharacteristic
135AGL(1,ℤ/8)×C43—22no—
136AGL(1,ℤ/8)×C43—41no—
137#135×C43—22no—
138#135×C43—22no—
139C2×Q16×C43D411yescharacteristic
140C2×SD16×C43—21no—
141C2×SD16×C43D411yescharacteristic
142C2×SD16×C43D411yescharacteristic
143C2×D8×C43—21no—
144C2×D8×C43D411yescharacteristic
145C2×M16×C43C2311yescharacteristic
146C22×C8×C43C2311yescharacteristic
147C22⋊Q8×C43—21no—
148C22⋊Q8×C43—21no—
149#121×C43—21no—
150#121×C43—21no—
151#121×C43—41no—
152C2×C4⋊C4×C43C2311yescharacteristic
153#103×C43—21no—
154#102×C43—21no—
155#102×C43—21no—
156#102×C43—21no—
157C22⋊C8×C43—21no—
158C22⋊C8×C43—21no—
159C24×C43—21no—
160C24×C43—41no—
161#41×C43—21no—
162#41×C43—21no—
163#41×C43—24no—
164#41×C43—21no—
165#41×C43—21no—
166#41×C43—21no—
167#41×C43—21no—
168#41×C43—21no—
169#41×C43—21no—
170#41×C43—21no—
171#41×C43—21no—
172#41×C43—42no—
173#41×C43—42no—
174#41×C43—42no—
175#41×C43#4112yes—
176#41×C43#4112yes—
177C2×Q8×C43C2×D411yescharacteristic
178C2×Q8×C43C2×D411yescharacteristic
179C2×Q8×C43C2×D411yescharacteristic
180C2×D4×C43—21no—
181C2×D4×C43—21no—
182C2×D4×C43—21no—
183C2×D4×C43—21no—
184C2×D4×C43—24no—
185C2×D4×C43—21no—
186C2×D4×C43—21no—
187C2×D4×C43—21no—
188C2×D4×C43—21no—
189C2×D4×C43—41no—
190C2×D4×C43—41no—
191C2×D4×C43—41no—
192C2×D4×C43—44no—
193C2×D4×C43—42no—
194C2×D4×C43—42no—
195C2×D4×C43—44no—
196C2×D4×C43—42no—
197C2×D4×C43C2×D411yescharacteristic
198C2×D4×C43C2×D411yescharacteristic
199C2×D4×C43C2×D411yescharacteristic
200C2×D4×C43#4112yes—
201C22×C4×C43—21no—
202C22×C4×C43—21no—
203C22×C4×C43—21no—
204C22×C4×C43—21no—
205C22×C4×C43—41no—
206C22×C4×C43C2411yescharacteristic
207C22×Dic43—21no—
208C22×Dic43—21no—
209C22×Dic43—21no—
210C22×Dic43—41no—
211C22×Dic43—41no—
212Q16×C43—22no—
213SD16×C43—22no—
214SD16×C43—22no—
215SD16×C43—42no—
216D8×C43—22no—
217D8×C43—42no—
218M16×C43—21no—
219M16×C43—21no—
220C2×C8×C43—21no—
221C2×C8×C43—21no—
222C2×C8×C43—21no—
223C2×C8×C43C2×D411yescharacteristic
224C2×C8×C43C2×D411yescharacteristic
225C4⋊C4×C43—21no—
226C4⋊C4×C43—21no—
227C4⋊C4×C43—41no—
228C22⋊C4×C43—41no—
229C22⋊C4×C43—41no—
230C22⋊Dic43—21no—
231C22⋊Dic43—41no—
232C22⋊Dic43—41no—
233C22⋊Dic43—82no—
234C4⋊Dic43—21no—
235C4⋊Dic43—21no—
236C4⋊Dic43—21no—
237C4⋊Dic43—21no—
238C4⋊Dic43—41no—
239C4⋊Dic43—41no—
240C4⋊Dic43C2×D411yescharacteristic
241C4⋊Dic43C2×D411yescharacteristic
242C4×Dic43—21no—
243C4×Dic43—21no—
244C4×Dic43—21no—
245C4×Dic43—41no—
246C4×Dic43—41no—
247#10621877—21no—
248#10621877—21no—
249#10621877—21no—
250#10621877—21no—
251#10621877—21no—
252#10621877—21no—
253#10621877—42no—
254C2×C43⋊C8—21no—
255C2×C43⋊C8—21no—
256C2×C43⋊C8—21no—
257C2×C43⋊C8—21no—
258C2×C43⋊C8—21no—
259C2×C43⋊C8—42no—
260C2×C43⋊C8C2×D411yescharacteristic
261C2×C43⋊C8C2×D411yescharacteristic
262C23×C43—21no—
263C23×C43—21no—
264C23×C43—21no—
265C23×C43—22no—
266C23×C43—44no—
267C23×C43—41no—
268C23×C43—41no—
269C23×C43—81no—
270C23×C43—81no—
271C23×C43—161no—
272C23×C43—161no—
273C23×C43H(5,𝔽2)11yescharacteristic
274Q8×C43—21no—
275Q8×C43—21no—
276Q8×C43—21no—
277Q8×C43—21no—
278Q8×C43—21no—
279Q8×C43#12312yes—
280D4×C43—22no—
281D4×C43—22no—
282D4×C43—21no—
283D4×C43—21no—
284D4×C43—22no—
285D4×C43—21no—
286D4×C43—21no—
287D4×C43—22no—
288D4×C43—21no—
289D4×C43—44no—
290D4×C43—44no—
291D4×C43—41no—
292D4×C43—41no—
293D4×C43—41no—
294D4×C43—41no—
295D4×C43—41no—
296D4×C43—41no—
297D4×C43—161no—
298D4×C43#12312yes—
299C2×C4×C43—21no—
300C2×C4×C43—22no—
301C2×C4×C43—22no—
302C2×C4×C43—21no—
303C2×C4×C43—21no—
304C2×C4×C43—44no—
305C2×C4×C43—41no—
306C2×C4×C43—41no—
307C2×C4×C43—41no—
308C2×C4×C43—41no—
309C2×C4×C43—41no—
310C2×C4×C43—81no—
311C2×C4×C43C22×D411yescharacteristic
312C2×C4×C43C22×D411yescharacteristic
313C2×C4×C43C2×#4111yescharacteristic
314C2×C4×C43C2×#4111yescharacteristic
315C2×C4×C43C2×#4111yescharacteristic
316C2×C4×C43H(5,𝔽2)11yescharacteristic
317C2×Dic43—21no—
318C2×Dic43—21no—
319C2×Dic43—41no—
320C2×Dic43—41no—
321C2×Dic43—41no—
322C2×Dic43—41no—
323C2×Dic43—41no—
324C2×Dic43—81no—
325C2×Dic43—81no—
326C2×Dic43—161no—
327C2×Dic43—161no—
328C8×C43—21no—
329C8×C43—21no—
330C8×C43—41no—
331C43⋊C8—21no—
332C43⋊C8—21no—
333C43⋊C8—41no—
334C43⋊C8—41no—
335C43⋊C8—41no—
336#24928—431nomaximal, Sylow
337C22×C43—21no—
338C22×C43—21no—
339C22×C43—22no—
340C22×C43—41no—
341C22×C43—41no—
342C22×C43—41no—
343C22×C43—42no—
344C22×C43—41no—
345C22×C43—41no—
346C22×C43—41no—
347C22×C43—41no—
348C22×C43—41no—
349C22×C43—82no—
350C22×C43—81no—
351C22×C43—81no—
352C22×C43—161no—
353C22×C43—164no—
354C22×C43#53811yescharacteristic
355C22×C43D4211yescharacteristic
356C22×C43#55111yescharacteristic
357C4×C43—22no—
358C4×C43—41no—
359C4×C43—41no—
360C4×C43—81no—
361C4×C43C2×#12311yescharacteristic
362C4×C43#52511yescharacteristic
363C4×C43#54611yescharacteristic
364C4×C43#54611yescharacteristic
365Dic43—41no—
366Dic43—41no—
367Dic43—81no—
368Dic43—81no—
369Dic43—81no—
370#3098—431no—
371#3012D4311yescharacteristic
372#2952—431no—
373#2897—431no—
374#2092—431no—
375#2079—431no—
376#2051—431no—
377#2040—431no—
378#1931—431no—
379#1929—431no—
380#1883—431no—
381#1876—431no—
382#1860—431no—
383#1816—431no—
384#1792—431no—
385C2×C43—21no—
386C2×C43—21no—
387C2×C43—42no—
388C2×C43—81no—
389C2×C43—81no—
390C2×C43—82no—
391C2×C43#241811yescharacteristic
392C2×C43#328811yescharacteristic
393C2×C43#329011yescharacteristic
394C2×H(5,𝔽2)C2×D4311yescharacteristic
395C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
396C2×#135C2×D4311yescharacteristic
397C2×#131—431no—
398#537C2×D4311yescharacteristic
399#520—431no—
400#520—431no—
401#485—861no—
402#484—861no—
403#482—861no—
404#480—861no—
405#452—21no—
406#450—21no—
407#449—21no—
408#447—21no—
409#442—861no—
410#441—861no—
411C4×SD16—861no—
412C4×SD16—861no—
413C2×#108—431no—
414#428—431no—
415C2×#107—431no—
416C2×#106—431no—
417C2×#104—431no—
418C2×#104—431no—
419C2×#104—431no—
420#418—431no—
421#418—861no—
422#417—431no—
423#417—431no—
424#417—431no—
425#417—431no—
426#417—861no—
427#417C2×D4311yescharacteristic
428#416—431no—
429#416—861no—
430C2×#102—431no—
431C2×#102—861no—
432C2×#102C2×D4311yescharacteristic
433C2×#100—431no—
434#408—431no—
435#408C2×D4311yescharacteristic
436#405—431no—
437#390—431no—
438#382—431no—
439#343—431no—
440#343—431no—
441#343—431no—
442#341—431no—
443#339—431no—
444#336—431no—
445C43#2492811yescharacteristic, complemented, Sylow
446H(5,𝔽2)—22no—
447H(5,𝔽2)—22no—
448H(5,𝔽2)—22no—
449H(5,𝔽2)—41no—
450C2×#41—21no—
451C2×#41—21no—
452C2×#41C22×D4311yescharacteristic
453C2×#41C22×D4311yescharacteristic
454C2×#41C22×D4311yescharacteristic
455C22×D4—21no—
456C22×D4—21no—
457C22×D4—41no—
458C22×D4C22×D4311yescharacteristic
459AGL(1,ℤ/8)—22no—
460AGL(1,ℤ/8)—41no—
461#135—22no—
462#135—22no—
463C2×Q16C22⋊D4311yescharacteristic
464C2×SD16—21no—
465C2×SD16C22⋊D4311yescharacteristic
466C2×SD16C22⋊D4311yescharacteristic
467C2×D8—21no—
468C2×D8C22⋊D4311yescharacteristic
469#131—862no—
470#131—1721no—
471C2×M16—431no—
472C2×M16—431no—
473C2×M16—431no—
474C2×M16—861no—
475C2×M16C22×D4311yescharacteristic
476C22×C8—431no—
477C22×C8—861no—
478C22×C8C22×D4311yescharacteristic
479C22⋊Q8—21no—
480C22⋊Q8—21no—
481#121—21no—
482#121—21no—
483#121—41no—
484C4×Q8—861no—
485C4×Q8—861no—
486C4×D4—861no—
487C4×D4—861no—
488C4×D4—1721no—
489C4×D4—1721no—
490#117—431no—
491#117—861no—
492#117—861no—
493C2×C4⋊C4—431no—
494C2×C4⋊C4—431no—
495C2×C4⋊C4—861no—
496C2×C4⋊C4—861no—
497C2×C4⋊C4C22×D4311yescharacteristic
498C2×C22⋊C4—1721no—
499C2×C42—431no—
500#108—1721no—
501#107—861no—
502#107—861no—
503#107—861no—
504#106—861no—
505#106—861no—
506#106—861no—
507#104—862no—
508#104—1721no—
509#104—1721no—
510#103—21no—
511#103—431no—
512#103—431no—
513#103—861no—
514#103—861no—
515#103—861no—
516#103—861no—
517#102—21no—
518#102—21no—
519#102—21no—
520#102—431no—
521#102—431no—
522#102—861no—
523#102—861no—
524#102—861no—
525#102—861no—
526#102—861no—
527#102—861no—
528#102—861no—
529#102—861no—
530#100—862no—
531C22⋊C8—21no—
532C22⋊C8—21no—
533C22⋊C8—861no—
534C22⋊C8—861no—
535#97—861no—
536C4×C8—861no—
537#95—1721no—
538C24—21no—
539C24—41no—
540#41—21no—
541#41—21no—
542#41—24no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—21no—
550#41—21no—
551#41—42no—
552#41—42no—
553#41—42no—
554#41#1062190012yes—
555#41#1062190012yes—
556C2×Q8D4×D4311yescharacteristic
557C2×Q8C2×C22⋊D4311yescharacteristic
558C2×Q8C2×C22⋊D4311yescharacteristic
559C2×D4—21no—
560C2×D4—24no—
561C2×D4—21no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—42no—
569C2×D4—41no—
570C2×D4—41no—
571C2×D4—42no—
572C2×D4—44no—
573C2×D4—44no—
574C2×D4—42no—
575C2×D4—41no—
576C2×D4D4×D4311yescharacteristic
577C2×D4#1062190012yes—
578C2×D4C2×C22⋊D4311yescharacteristic
579C2×D4C2×C22⋊D4311yescharacteristic
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—41no—
585C22×C4—861no—
586C22×C4—861no—
587C22×C4—861no—
588C22×C4—1721no—
589C22×C4—1721no—
590C22×C4C23×D4311yescharacteristic
591Q16—22no—
592SD16—22no—
593SD16—22no—
594SD16—42no—
595D8—22no—
596D8—42no—
597M16—21no—
598M16—21no—
599M16—861no—
600M16—861no—
601M16—861no—
602M16—861no—
603M16—861no—
604M16—861no—
605M16—1722no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—431no—
610C2×C8—431no—
611C2×C8—861no—
612C2×C8—861no—
613C2×C8—861no—
614C2×C8—861no—
615C2×C8—861no—
616C2×C8—1722no—
617C2×C8C2×C22⋊D4311yescharacteristic
618C2×C8C2×C22⋊D4311yescharacteristic
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—41no—
622C4⋊C4—431no—
623C4⋊C4—431no—
624C4⋊C4—861no—
625C4⋊C4—861no—
626C4⋊C4—861no—
627C4⋊C4—861no—
628C4⋊C4—1721no—
629C4⋊C4—1721no—
630C22⋊C4—41no—
631C22⋊C4—41no—
632C22⋊C4—861no—
633C22⋊C4—3442no—
634C22⋊C4—1721no—
635C22⋊C4—1721no—
636C42—861no—
637C42—861no—
638C42—861no—
639C42—1721no—
640C42—1721no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—22no—
645C23—44no—
646C23—41no—
647C23—41no—
648C23—81no—
649C23—81no—
650C23—161no—
651C23—161no—
652C23#1306337011yescharacteristic
653Q8—21no—
654Q8—21no—
655Q8—21no—
656Q8—21no—
657Q8—21no—
658Q8#1306330612yes—
659D4—22no—
660D4—22no—
661D4—21no—
662D4—21no—
663D4—22no—
664D4—21no—
665D4—21no—
666D4—21no—
667D4—22no—
668D4—44no—
669D4—44no—
670D4—41no—
671D4—41no—
672D4—41no—
673D4—41no—
674D4—41no—
675D4—41no—
676D4—161no—
677D4#1306330612yes—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—44no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—81no—
690C2×C4—861no—
691C2×C4—861no—
692C2×C4—3441no—
693C2×C4—3441no—
694C2×C4—1721no—
695C2×C4—1721no—
696C2×C4—1721no—
697C2×C4—1721no—
698C2×C4—1721no—
699C2×C4—6881no—
700C2×C4—6881no—
701C2×C4C2×D4×D4311yescharacteristic
702C2×C4C22×C22⋊D4311yescharacteristic
703C2×C4C2×#1062190011yescharacteristic
704C2×C4C2×#1062190011yescharacteristic
705C2×C4C2×#1062190011yescharacteristic
706C2×C4#1306337011yescharacteristic
707C8—21no—
708C8—21no—
709C8—41no—
710C8—861no—
711C8—861no—
712C8—1721no—
713C8—1721no—
714C8—1721no—
715C22—21no—
716C22—21no—
717C22—22no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—42no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—82no—
728C22—81no—
729C22—81no—
730C22—161no—
731C22—164no—
732C22#1458348411yescharacteristic
733C22D4×C22⋊D4311yescharacteristic
734C22#1458358011yescharacteristic
735C4—22no—
736C4—41no—
737C4—41no—
738C4—81no—
739C4—3441no—
740C4—3441no—
741C4—3441no—
742C4—1721no—
743C4—1721no—
744C4C2×#1306330611yescharacteristic
745C4#1458340511yescharacteristic
746C4#1458353611yescharacteristic
747C4#1458354311yescharacteristic
748C2—21no—
749C2—21no—
750C2—42no—
751C2—81no—
752C2—81no—
753C2—82no—
754C2#1913805311yescharacteristic
755C2#1914635911yescharacteristic
756C2#1914637511yescharacteristic
subgroupG/H
centerC22D4×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
Fitting, prime radicalC43×#3012C2
socleC22×C43D42
hypercenter#3012D43
hypocenterC43#24928
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #19144569C2semidirect
2. #19143479C2semidirect
3. #19143121C2semidirect
4. #19136118C2semidirect
5. #19136040C2semidirect
6. #19135884C2semidirect
7. #19135821C2semidirect
8. #19135254C2semidirect
9. #19135240C2semidirect
10. #19134973C2semidirect
11. #19134924C2semidirect
12. #19134826C2semidirect
13. #19134657C2semidirect
14. #19134549C2semidirect
18. #14583382C22semidirect
27. C2×#13063260C22semidirect
28. #14582939C22semidirect
29. C2×#13063258C22semidirect
30. C2×#13063257C22semidirect
33. C2×#13063252C22semidirect
40. #14582900C22semidirect
46. #14582866C22semidirect
47. #14582854C22semidirect
49. #14582764C22semidirect
50. #14582668C22semidirect
51. #14582667C22semidirect
52. #14582667C22semidirect
53. #14582664C22semidirect
54. #14582660C22semidirect
55. #14582653C22semidirect
445. C43#24928semidirect

Maximal subgroups

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

subgroupindex
#191445692
#191434792
#191431212
#191361182
#191360402
#191358842
#191358212
#191352542
#191352402
#191349732
#191349242
#191348262
#191346572
#191345492
C43×#30122
#2492843