Finite Group Databasebeta

← #25135546

Subgroups — #25135546

Order 11008.

884 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19144535C211yesmaximal, characteristic, complemented
2C2×#14583044C211yesmaximal, characteristic
3#19143253C211yesmaximal, characteristic, complemented
4#19135962C211yesmaximal, characteristic, complemented
5#19135955C211yesmaximal, characteristic, complemented
6#19135855C211yesmaximal, characteristic, complemented
7#19135850C211yesmaximal, characteristic, complemented
8#19135504C211yesmaximal, characteristic, complemented
9#19135497C211yesmaximal, characteristic, complemented
10#19135260C211yesmaximal, characteristic, complemented
11#19135253C211yesmaximal, characteristic, complemented
12#19135058C211yesmaximal, characteristic, complemented
13#19134800C211yesmaximal, characteristic, complemented
14#19134523C211yesmaximal, characteristic, complemented
15C43×#2896C211yesmaximal, characteristic, complemented
16C22×#10621884C2211yescharacteristic
17C22×#10621882C2211yescharacteristic
18C2×#13063299C2211yescharacteristic
19#14583223—21no—
20#14583223—21no—
21#14583217—21no—
22#14583212—21no—
23#14583044—21no—
24#14583044—21no—
25#14583044—21no—
26#14583044—21no—
27#14582960—21no—
28#14582960—21no—
29#14582956—21no—
30#14582952—21no—
31C2×#13063260C2211yescharacteristic
32C2×#13063260C2211yescharacteristic
33#14582942C2211yescharacteristic
34#14582942C2211yescharacteristic
35#14582926C2211yescharacteristic
36#14582926C2211yescharacteristic
37#14582903C2211yescharacteristic
38#14582903C2211yescharacteristic
39C2×#13063249C2211yescharacteristic
40C2×#13063246C2211yescharacteristic
41C2×#13063244C2211yescharacteristic
42C2×#13063244C2211yescharacteristic
43C2×#13063242C2211yescharacteristic
44C2×#13063242C2211yescharacteristic
45C2×#13063241C2211yescharacteristic
46C2×#13063241C2211yescharacteristic
47#14582863C2211yescharacteristic
48#14582863C2211yescharacteristic
49C2×C22⋊(C43⋊C8)C2211yescharacteristic
50#14582855C2211yescharacteristic
51#14582855C2211yescharacteristic
52#14582667C2211yescharacteristic
53#14582667C2211yescharacteristic
54#14582663C2211yescharacteristic
55#14582663C2211yescharacteristic
56C22×#41×C43C2211yescharacteristic
57C22×M16×C43C2211yescharacteristic
58C2×#117×C43C2211yescharacteristic
59C43×#419C2211yescharacteristic
60C43×#419C2211yescharacteristic
61C43×#418C2211yescharacteristic
62C43×#418C2211yescharacteristic
63C43×#417—21no—
64C43×#417—21no—
65C43×#416—21no—
66C43×#416—21no—
67C22×D172C2311yescharacteristic
68C22×C22⋊D43—21no—
69C2×#10621884—22no—
70C2×#10621884—21no—
71C2×#10621884—21no—
72C2×#10621884—41no—
73C2×#10621882—22no—
74C2×#10621882—21no—
75C2×#10621882—21no—
76C2×#10621882—41no—
77C2×#10621877C2311yescharacteristic
78C2×#10621877C2311yescharacteristic
79C2×#10621877C2311yescharacteristic
80C2×#10621877C2311yescharacteristic
81C22×C43⋊C8C2311yescharacteristic
82C22×C43⋊C8C2311yescharacteristic
83#13063299—21no—
84#13063299—21no—
85#13063299—21no—
86#13063299—21no—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×(C2×D43)⋊C4—21no—
89#13063260—41no—
90#13063260—41no—
91#13063258—21no—
92#13063258—21no—
93#13063256—21no—
94#13063256—21no—
95C4⋊(C43⋊C8)—21no—
96C4⋊(C43⋊C8)—21no—
97C4⋊(C43⋊C8)—21no—
98C4⋊(C43⋊C8)—21no—
99#13063249—21no—
100#13063249—21no—
101#13063246—21no—
102#13063246—21no—
103#13063245—21no—
104#13063245—21no—
105#13063245—21no—
106#13063245—21no—
107#13063244—22no—
108#13063244—41no—
109#13063242—22no—
110#13063242—41no—
111#13063241—41no—
112#13063241—41no—
113C22⋊(C43⋊C8)—21no—
114C22⋊(C43⋊C8)—21no—
115C22⋊(C43⋊C8)—21no—
116C22⋊(C43⋊C8)—21no—
117C22⋊(C43⋊C8)D411yescharacteristic
118C22⋊(C43⋊C8)D411yescharacteristic
119C22⋊(C43⋊C8)D411yescharacteristic
120C22⋊(C43⋊C8)D411yescharacteristic
121#13063236—21no—
122#13063236—21no—
123C4×C43⋊C8—21no—
124C4×C43⋊C8—21no—
125C2×#41×C43—22no—
126C2×#41×C43—22no—
127C2×#41×C43—21no—
128C2×#41×C43—21no—
129C2×#41×C43—21no—
130C2×#41×C43—21no—
131C2×#41×C43—41no—
132C2×#41×C43—41no—
133C22×Q8×C43C2311yescharacteristic
134C22×D4×C43—21no—
135C22×D4×C43C2311yescharacteristic
136C23×C4×C43—21no—
137C23×C4×C43C2311yescharacteristic
138C2×M16×C43—21no—
139C2×M16×C43—41no—
140C2×M16×C43—41no—
141C2×M16×C43C2311yescharacteristic
142C2×M16×C43C2311yescharacteristic
143C22×C8×C43—21no—
144#117×C43—21no—
145#117×C43—21no—
146#117×C43D411yescharacteristic
147#117×C43D411yescharacteristic
148#117×C43C2311yescharacteristic
149#117×C43C2311yescharacteristic
150C2×C4⋊C4×C43D411yescharacteristic
151C2×C4⋊C4×C43D411yescharacteristic
152C2×C22⋊C4×C43—21no—
153C2×C42×C43—21no—
154#103×C43—21no—
155#103×C43—21no—
156#103×C43—21no—
157#103×C43—21no—
158#102×C43—21no—
159#102×C43—21no—
160#102×C43—21no—
161#102×C43—21no—
162C24×C43—21no—
163C24×C43#4111yescharacteristic
164C23×D43—21no—
165#41×C43—24no—
166#41×C43—24no—
167#41×C43—42no—
168#41×C43—42no—
169#41×C43—42no—
170#41×C43—42no—
171#41×C43—42no—
172#41×C43—42no—
173C2×Q8×C43—21no—
174C2×Q8×C43—21no—
175C2×Q8×C43—21no—
176C2×Q8×C43—21no—
177C2×Q8×C43—21no—
178C2×Q8×C43#4112yes—
179C2×D4×C43—21no—
180C2×D4×C43—21no—
181C2×D4×C43—21no—
182C2×D4×C43—21no—
183C2×D4×C43—21no—
184C2×D4×C43—42no—
185C2×D4×C43—42no—
186C2×D4×C43—41no—
187C2×D4×C43—41no—
188C2×D4×C43#4112yes—
189C22×C4×C43—21no—
190C22×C4×C43—21no—
191C22×C4×C43—21no—
192C22×C4×C43—21no—
193C22×C4×C43—21no—
194C22×C4×C43—21no—
195C22×C4×C43—21no—
196C22×C4×C43—42no—
197C22×C4×C43—42no—
198C22×C4×C43—41no—
199C22×C4×C43—41no—
200C22×C4×C43C2×D411yescharacteristic
201C22×C4×C43C2×D411yescharacteristic
202C22×C4×C43C2×D411yescharacteristic
203C22×C4×C43C2×D411yescharacteristic
204C22×C4×C43#4111yescharacteristic
205C22×C4×C43C2411yescharacteristic
206C2×C22⋊D43—41no—
207C2×C22⋊D43—41no—
208C2×C22⋊D43—82no—
209C22×Dic43—21no—
210C2×D172—21no—
211C2×D172—21no—
212C2×D172—21no—
213C2×D172—21no—
214C2×D172—21no—
215C2×D172—21no—
216M16×C43—21no—
217M16×C43—21no—
218M16×C43—21no—
219M16×C43—21no—
220M16×C43—42no—
221C2×C8×C43—21no—
222C2×C8×C43—21no—
223C2×C8×C43—42no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—21no—
226C4⋊C4×C43C2×D411yescharacteristic
227C4⋊C4×C43C2×D411yescharacteristic
228C4⋊C4×C43C2×D411yescharacteristic
229C4⋊C4×C43C2×D411yescharacteristic
230C22⋊C4×C43—21no—
231C22⋊C4×C43—21no—
232C22⋊C4×C43—21no—
233C22⋊C4×C43—21no—
234C42×C43—21no—
235C42×C43—21no—
236C42×C43—21no—
237C42×C43—21no—
238#10621884—42no—
239#10621884—42no—
240#10621882—42no—
241#10621882—42no—
242(C2×D43)⋊C4—41no—
243(C2×D43)⋊C4—41no—
244C4⋊Dic43—21no—
245C4⋊Dic43—21no—
246#10621877—21no—
247#10621877—21no—
248#10621877—21no—
249#10621877—21no—
250#10621877—21no—
251#10621877—21no—
252#10621877—21no—
253#10621877—21no—
254C2×C43⋊C8—21no—
255C2×C43⋊C8—21no—
256C2×C43⋊C8—21no—
257C2×C43⋊C8—21no—
258C2×C43⋊C8—21no—
259C2×C43⋊C8—21no—
260C2×C43⋊C8—21no—
261C2×C43⋊C8—21no—
262C2×C43⋊C8C2×D411yescharacteristic
263C2×C43⋊C8C2×D411yescharacteristic
264C2×C43⋊C8C2×D411yescharacteristic
265C2×C43⋊C8C2×D411yescharacteristic
266C23×C43—21no—
267C23×C43—21no—
268C23×C43—22no—
269C23×C43—41no—
270C23×C43—41no—
271C23×C43—41no—
272C23×C43—41no—
273C23×C43—81no—
274C23×C43—81no—
275C23×C43#12111yescharacteristic
276C23×C43#12111yescharacteristic
277C23×C43C2×#4111yescharacteristic
278C22×D43—41no—
279C22×D43—41no—
280C22×D43—41no—
281C22×D43—81no—
282C22×D43—81no—
283Q8×C43—22no—
284Q8×C43—22no—
285Q8×C43—41no—
286Q8×C43—41no—
287D4×C43—22no—
288D4×C43—22no—
289D4×C43—44no—
290D4×C43—44no—
291D4×C43—41no—
292D4×C43—41no—
293C2×C4×C43—21no—
294C2×C4×C43—21no—
295C2×C4×C43—21no—
296C2×C4×C43—21no—
297C2×C4×C43—21no—
298C2×C4×C43—21no—
299C2×C4×C43—21no—
300C2×C4×C43—21no—
301C2×C4×C43—21no—
302C2×C4×C43—21no—
303C2×C4×C43—21no—
304C2×C4×C43—21no—
305C2×C4×C43—21no—
306C2×C4×C43—21no—
307C2×C4×C43—22no—
308C2×C4×C43—44no—
309C2×C4×C43—44no—
310C2×C4×C43—42no—
311C2×C4×C43—41no—
312C2×C4×C43—41no—
313C2×C4×C43—81no—
314C2×C4×C43#12111yescharacteristic
315C2×C4×C43#12111yescharacteristic
316C2×C4×C43C22×D411yescharacteristic
317C2×C4×C43C22×D411yescharacteristic
318C2×C4×C43C2×#4111yescharacteristic
319C2×C4×C43C2×#4111yescharacteristic
320C2×C4×C43H(5,𝔽2)11yescharacteristic
321C2×C4×C43H(5,𝔽2)11yescharacteristic
322C22⋊D43—82no—
323C22⋊D43—82no—
324C2×Dic43—41no—
325C2×Dic43—81no—
326D172—41no—
327D172—41no—
328D172—41no—
329D172—41no—
330C8×C43—41no—
331C8×C43—41no—
332C43⋊C8—21no—
333C43⋊C8—21no—
334C43⋊C8—21no—
335C43⋊C8—21no—
336C43⋊C8—41no—
337C43⋊C8—41no—
338C43⋊C8—41no—
339C43⋊C8—41no—
340#24524—431nomaximal, Sylow
341C22×C43—21no—
342C22×C43—21no—
343C22×C43—21no—
344C22×C43—21no—
345C22×C43—21no—
346C22×C43—21no—
347C22×C43—21no—
348C22×C43—21no—
349C22×C43—42no—
350C22×C43—81no—
351C22×C43—81no—
352C22×C43—82no—
353C22×C43—82no—
354C22×C43—81no—
355C22×C43—81no—
356C22×C43C2×#12111yescharacteristic
357C22×C43#55111yescharacteristic
358C22×C43#55111yescharacteristic
359C2×D43—81no—
360C2×D43—81no—
361C2×D43—81no—
362C2×D43—161no—
363C2×D43—161no—
364C4×C43—21no—
365C4×C43—21no—
366C4×C43—42no—
367C4×C43—41no—
368C4×C43—41no—
369C4×C43—41no—
370C4×C43—41no—
371C4×C43#52511yescharacteristic
372C4×C43#53511yescharacteristic
373C4×C43#54611yescharacteristic
374C4×C43#54611yescharacteristic
375Dic43—81no—
376#3094—431no—
377C2×#449—431no—
378#2924—431no—
379#2896D4311yescharacteristic, complemented
380#2064—431no—
381#2063—431no—
382#2046—431no—
383#2045—431no—
384#1978—431no—
385#1977—431no—
386#1931—431no—
387#1930—431no—
388#1900—431no—
389#1855—431no—
390#1785—431no—
391C2×C43—21no—
392C2×C43—21no—
393C2×C43—41no—
394C2×C43—41no—
395C2×C43—82no—
396C2×C43#241111yescharacteristic
397C2×C43#306711yescharacteristic
398C2×C43#306811yescharacteristic
399D43—161no—
400C22×#41C2×D4311yescharacteristic
401C22×SD16—431no—
402C22×D8—431no—
403C22×M16C2×D4311yescharacteristic
404C2×#121—431no—
405C2×#117C2×D4311yescharacteristic
406#482—861no—
407#482—861no—
408#481—861no—
409#480—861no—
410#449—861no—
411#449—861no—
412#449—861no—
413#449—861no—
414#433—861no—
415#433—861no—
416#432—861no—
417#431—861no—
418C2×#108—431no—
419C2×#108—431no—
420#428—431no—
421#428—431no—
422#424—431no—
423#424—431no—
424#419C2×D4311yescharacteristic
425#419C2×D4311yescharacteristic
426#418—431no—
427#418—431no—
428#418C2×D4311yescharacteristic
429#418C2×D4311yescharacteristic
430#417—21no—
431#417—21no—
432#416—21no—
433#416—21no—
434C2×#103—431no—
435C2×#102—431no—
436C2×#101—431no—
437C2×#101—431no—
438C2×#100—431no—
439C2×#100—431no—
440C2×#100—431no—
441C2×#100—431no—
442#407—431no—
443#407—431no—
444C2×C22⋊C8—431no—
445#405—431no—
446#405—431no—
447#343—431no—
448#343—431no—
449#341—431no—
450#341—431no—
451C43#2452411yescharacteristic, complemented, Sylow
452C2×#41—22no—
453C2×#41—22no—
454C2×#41—21no—
455C2×#41—21no—
456C2×#41—21no—
457C2×#41—21no—
458C2×#41—41no—
459C2×#41—41no—
460C22×Q8C22×D4311yescharacteristic
461C22×D4—21no—
462C22×D4—431no—
463C22×D4—861no—
464C22×D4C22×D4311yescharacteristic
465C23×C4—21no—
466C23×C4C22×D4311yescharacteristic
467C2×SD16—861no—
468C2×SD16—861no—
469C2×SD16—862no—
470C2×SD16—1721no—
471C2×D8—861no—
472C2×D8—861no—
473C2×D8—862no—
474C2×D8—1721no—
475C2×M16—21no—
476C2×M16—41no—
477C2×M16—41no—
478C2×M16—431no—
479C2×M16—431no—
480C2×M16—431no—
481C2×M16—431no—
482C2×M16C22×D4311yescharacteristic
483C2×M16C22×D4311yescharacteristic
484C22×C8—21no—
485C22×C8—431no—
486C22×C8—431no—
487#121—861no—
488#121—861no—
489#121—861no—
490#121—861no—
491#117—21no—
492#117—21no—
493#117C22⋊D4311yescharacteristic
494#117C22⋊D4311yescharacteristic
495#117C22×D4311yescharacteristic
496#117C22×D4311yescharacteristic
497C2×C4⋊C4—431no—
498C2×C4⋊C4C22⋊D4311yescharacteristic
499C2×C4⋊C4C22⋊D4311yescharacteristic
500C2×C22⋊C4—21no—
501C2×C22⋊C4—861no—
502C2×C42—21no—
503#108—1721no—
504#108—1721no—
505#107—861no—
506#107—861no—
507#106—861no—
508#106—861no—
509C4⋊C8—861no—
510C4⋊C8—861no—
511C4⋊C8—861no—
512C4⋊C8—861no—
513#103—21no—
514#103—21no—
515#103—21no—
516#103—21no—
517#103—861no—
518#103—861no—
519#102—21no—
520#102—21no—
521#102—21no—
522#102—21no—
523#102—861no—
524#102—861no—
525#102—861no—
526#102—861no—
527#102—861no—
528#102—861no—
529#101—862no—
530#101—1721no—
531#100—862no—
532#100—1721no—
533#100—1721no—
534#100—1721no—
535C22⋊C8—431no—
536C22⋊C8—431no—
537C22⋊C8—431no—
538C22⋊C8—431no—
539C22⋊C8—861no—
540C22⋊C8—861no—
541C22⋊C8—861no—
542C22⋊C8—861no—
543#97—861no—
544#97—861no—
545C4×C8—861no—
546C4×C8—861no—
547C24—21no—
548C24—861no—
549C24#1062190011yescharacteristic
550#41—24no—
551#41—24no—
552#41—42no—
553#41—42no—
554#41—42no—
555#41—42no—
556#41—42no—
557#41—42no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8—21no—
563C2×Q8#1062189812yes—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—42no—
570C2×D4—42no—
571C2×D4—41no—
572C2×D4—41no—
573C2×D4—861no—
574C2×D4—861no—
575C2×D4—861no—
576C2×D4—861no—
577C2×D4—861no—
578C2×D4—861no—
579C2×D4—3442no—
580C2×D4—1721no—
581C2×D4—1721no—
582C2×D4#1062189812yes—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—21no—
589C22×C4—21no—
590C22×C4—42no—
591C22×C4—42no—
592C22×C4—41no—
593C22×C4—41no—
594C22×C4—861no—
595C22×C4D4×D4311yescharacteristic
596C22×C4D4×D4311yescharacteristic
597C22×C4#1062190011yescharacteristic
598C22×C4C2×C22⋊D4311yescharacteristic
599C22×C4C2×C22⋊D4311yescharacteristic
600C22×C4C23×D4311yescharacteristic
601SD16—1722no—
602SD16—1722no—
603D8—1722no—
604D8—1722no—
605M16—21no—
606M16—21no—
607M16—21no—
608M16—21no—
609M16—42no—
610M16—861no—
611M16—861no—
612M16—861no—
613M16—861no—
614M16—861no—
615M16—861no—
616M16—861no—
617M16—861no—
618C2×C8—21no—
619C2×C8—21no—
620C2×C8—42no—
621C2×C8—431no—
622C2×C8—431no—
623C2×C8—431no—
624C2×C8—431no—
625C2×C8—861no—
626C2×C8—861no—
627C2×C8—861no—
628C2×C8—861no—
629C2×C8—861no—
630C2×C8—861no—
631C2×C8—861no—
632C2×C8—861no—
633C4⋊C4—21no—
634C4⋊C4—21no—
635C4⋊C4—861no—
636C4⋊C4—861no—
637C4⋊C4C2×C22⋊D4311yescharacteristic
638C4⋊C4C2×C22⋊D4311yescharacteristic
639C4⋊C4C2×C22⋊D4311yescharacteristic
640C4⋊C4C2×C22⋊D4311yescharacteristic
641C22⋊C4—21no—
642C22⋊C4—21no—
643C22⋊C4—21no—
644C22⋊C4—21no—
645C22⋊C4—1721no—
646C22⋊C4—1721no—
647C42—21no—
648C42—21no—
649C42—21no—
650C42—21no—
651C23—21no—
652C23—21no—
653C23—22no—
654C23—41no—
655C23—41no—
656C23—41no—
657C23—41no—
658C23—81no—
659C23—81no—
660C23—3441no—
661C23—3441no—
662C23—1721no—
663C23—1721no—
664C23—1721no—
665C23#1306329711yescharacteristic
666C23#1306329711yescharacteristic
667C23C2×#1062190011yescharacteristic
668Q8—22no—
669Q8—22no—
670Q8—41no—
671Q8—41no—
672D4—22no—
673D4—22no—
674D4—44no—
675D4—44no—
676D4—41no—
677D4—41no—
678D4—3442no—
679D4—3442no—
680D4—1721no—
681D4—1721no—
682D4—1721no—
683D4—1721no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—22no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—81no—
705C2×C4—3441no—
706C2×C4—1721no—
707C2×C4#1306329711yescharacteristic
708C2×C4#1306329711yescharacteristic
709C2×C4C2×D4×D4311yescharacteristic
710C2×C4C22×C22⋊D4311yescharacteristic
711C2×C4C2×#1062189811yescharacteristic
712C2×C4C2×#1062189811yescharacteristic
713C2×C4#1306337011yescharacteristic
714C2×C4#1306337011yescharacteristic
715C8—41no—
716C8—41no—
717C8—861no—
718C8—861no—
719C8—861no—
720C8—861no—
721C8—1721no—
722C8—1721no—
723C8—1721no—
724C8—1721no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—42no—
734C22—81no—
735C22—81no—
736C22—82no—
737C22—82no—
738C22—81no—
739C22—81no—
740C22—3441no—
741C22—3441no—
742C22—3441no—
743C22—6881no—
744C22—6881no—
745C22C2×#1306329711yescharacteristic
746C22#1458357511yescharacteristic
747C22#1458357511yescharacteristic
748C4—21no—
749C4—21no—
750C4—41no—
751C4—41no—
752C4—41no—
753C4—41no—
754C4—42no—
755C4—3441no—
756C4#1458341011yescharacteristic
757C4#1458346611yescharacteristic
758C4#1458353911yescharacteristic
759C4#1458353911yescharacteristic
760C2—21no—
761C2—21no—
762C2—41no—
763C2—41no—
764C2—82no—
765C2—6881no—
766C2#1913798011yescharacteristic
767C2#1914431211yescharacteristic
768C2#1914432511yescharacteristic
subgroupG/H
centerC22C2×#13063297
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2896C2
socleC22×C43C2×#121
prime radicalC2×#14583044C2
hypercenter#2896D43
hypocenterC43#24524
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2896

Complements

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

NH ≅ G/Ntype
1. #19144535C2semidirect
3. #19143253C2semidirect
4. #19135962C2semidirect
5. #19135955C2semidirect
6. #19135855C2semidirect
7. #19135850C2semidirect
8. #19135504C2semidirect
9. #19135497C2semidirect
10. #19135260C2semidirect
11. #19135253C2semidirect
12. #19135058C2semidirect
13. #19134800C2semidirect
14. #19134523C2semidirect
15. C43×#2896C2semidirect
379. #2896D43semidirect
451. C43#24524semidirect

Maximal subgroups

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

subgroupindex
#191445352
C2×#145830442
#191432532
#191359622
#191359552
#191358552
#191358502
#191355042
#191354972
#191352602
#191352532
#191350582
#191348002
#191345232
C43×#28962
#2452443