Finite Group Databasebeta

← #25099166

Subgroups — #25099166

Order 11008.

1118 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19143182C211yesmaximal, characteristic, complemented
2C2×#14582902C211yesmaximal, characteristic
3#418×D43C211yesmaximal, characteristic
4C2×#100×D43C211yesmaximal, characteristic
5#19143011C211yesmaximal, characteristic, complemented
6#19135260C211yesmaximal, characteristic, complemented
7#19135259C211yesmaximal, characteristic, complemented
8#19135258C211yesmaximal, characteristic, complemented
9#19135257C211yesmaximal, characteristic, complemented
10#19135256C211yesmaximal, characteristic, complemented
11#19135255C211yesmaximal, characteristic, complemented
12#19135254C211yesmaximal, characteristic, complemented
13#19134332C211yesmaximal, characteristic, complemented
14#19134320C211yesmaximal, characteristic, complemented
15C43×#1931C211yesmaximal, characteristic, complemented
16C22×D4×D43C2211yescharacteristic
17C22×#10621872C2211yescharacteristic
18C2×M16×D43C2211yescharacteristic
19C2×M16×D43C2211yescharacteristic
20C2×M16×D43C2211yescharacteristic
21C2×#13063283C2211yescharacteristic
22#117×D43C2211yescharacteristic
23#14582942C2211yescharacteristic, complemented
24#14582941C2211yescharacteristic, complemented
25#14582940—21no—
26#14582939C2211yescharacteristic, complemented
27#14582938—21no—
28#14582936—21no—
29#14582934—21no—
30#14582905C2211yescharacteristic
31#14582904C2211yescharacteristic
32#14582903C2211yescharacteristic
33#14582902—21no—
34#14582902—21no—
35#14582902—21no—
36#14582902—21no—
37#14582902—21no—
38#14582902—21no—
39C2×#13063247C2211yescharacteristic
40C2×#13063246C2211yescharacteristic
41C2×#13063245C2211yescharacteristic
42#102×D43—21no—
43#102×D43—21no—
44C2×#13063242C2211yescharacteristic
45C2×#13063241C2211yescharacteristic
46C2×#13063241C2211yescharacteristic
47#100×D43C418yescomplemented
48#14582857C2211yescharacteristic, complemented
49#14582856—21no—
50#14582855C2211yescharacteristic, complemented
51#14582854C2211yescharacteristic, complemented
52#14582853—21no—
53#14582851—21no—
54C4×#10621872—21no—
55#14582668C2211yescharacteristic, complemented
56#14582667C2211yescharacteristic, complemented
57#14582667C2211yescharacteristic, complemented
58#14582664C2211yescharacteristic, complemented
59#14582663C2211yescharacteristic, complemented
60#14582663C2211yescharacteristic, complemented
61C43×#428C2211yescharacteristic, complemented
62C43×#418C2211yescharacteristic
63C2×#102×C43C2211yescharacteristic
64C2×#100×C43C2211yescharacteristic
65C43×#405C2211yescharacteristic, complemented
66C43×#343C2211yescharacteristic, complemented
67C43×#341C2211yescharacteristic, complemented
68C24×D43—21no—
69C22×D172C2311yescharacteristic
70C22×C22⋊D43—21no—
71C2×D4×D43—21no—
72C2×D4×D43—21no—
73C2×D4×D43—21no—
74C2×D4×D43—21no—
75C2×D4×D43—22no—
76C2×D4×D43—22no—
77C2×D4×D43—22no—
78C2×D4×D43C2×C414yes—
79C22×C4×D43C2311yescharacteristic
80C2×#10621877C2311yescharacteristic
81C2×#10621877C2311yescharacteristic
82C2×#10621877C2311yescharacteristic
83C2×#10621872—21no—
84C2×#10621872—21no—
85C2×#10621872—22no—
86C2×#10621872—22no—
87C2×#10621872—21no—
88C2×#10621872D411yescharacteristic
89C2×#10621872D411yescharacteristic
90C2×#10621872D411yescharacteristic
91C2×#10621872D411yescharacteristic
92M16×D43—22no—
93M16×D43—22no—
94M16×D43—22no—
95M16×D43—22no—
96M16×D43C2×C414yes—
97M16×D43C2×C414yes—
98C22×C43⋊C8C2311yescharacteristic
99C2×C8×D43—21no—
100C2×C8×D43—21no—
101C2×C8×D43—21no—
102#13063284C2311yescharacteristic
103#13063283—21no—
104#13063283—21no—
105#13063283—21no—
106#13063283—21no—
107#13063283D411yescharacteristic
108#13063283D411yescharacteristic
109#13063282—21no—
110#13063281—21no—
111C2×C4⋊Dic43C2311yescharacteristic
112C4⋊C4×D43D411yescharacteristic
113C4⋊C4×D43D411yescharacteristic
114C2×(C2×D43)⋊C4—21no—
115C22⋊C4×D43—21no—
116C2×C4×Dic43—21no—
117C42×D43—21no—
118#13063259—21no—
119#13063258—21no—
120#13063258—21no—
121#13063257—21no—
122#13063256—21no—
123#13063256—21no—
124#13063247—21no—
125#13063247—21no—
126#13063247—21no—
127#13063247—21no—
128#13063246—21no—
129#13063246—21no—
130#13063246—21no—
131#13063246—21no—
132#13063245—21no—
133#13063245—21no—
134#13063245—21no—
135#13063245—21no—
136#13063242C2×C414yescomplemented
137#13063241C2×C414yescomplemented
138#13063241C2×C414yescomplemented
139#13063236—21no—
140#13063235—21no—
141#13063235—21no—
142C4×C43⋊C8—21no—
143C8×Dic43—21no—
144C8×Dic43—21no—
145C22×D4×C43C2311yescharacteristic
146C2×M16×C43C2311yescharacteristic
147C2×M16×C43C2311yescharacteristic
148C2×M16×C43C2311yescharacteristic
149C22×C8×C43C2311yescharacteristic
150#117×C43C2311yescharacteristic
151C2×C4⋊C4×C43C2311yescharacteristic
152#107×C43—21no—
153#106×C43—21no—
154#102×C43—21no—
155#102×C43—21no—
156#102×C43—21no—
157#102×C43—21no—
158#100×C43C2×C414yescomplemented
159#97×C43—21no—
160C4×C8×C43—21no—
161C24×C43—21no—
162C23×D43—21no—
163C23×D43—24no—
164C23×D43—41no—
165C23×D43—41no—
166C23×D43—42no—
167C23×D43—82no—
168C23×D43—82no—
169C23×D43#4111yescharacteristic
170C2×D4×C43—21no—
171C2×D4×C43—21no—
172C2×D4×C43—21no—
173C2×D4×C43—21no—
174C2×D4×C43—21no—
175C2×D4×C43C22×C412yes—
176C22×C4×C43—21no—
177C22×C4×C43C2411yescharacteristic
178C2×C22⋊D43—24no—
179C2×C22⋊D43—41no—
180C2×C22⋊D43—41no—
181C2×C22⋊D43—42no—
182C22×Dic43—21no—
183C22×Dic43#4111yescharacteristic
184D4×D43—24no—
185D4×D43—24no—
186D4×D43—24no—
187D4×D43—24no—
188D4×D43—42no—
189D4×D43—42no—
190D4×D43—42no—
191D4×D43—42no—
192C2×D172—21no—
193C2×D172—21no—
194C2×D172—21no—
195C2×D172—21no—
196C2×D172—21no—
197C2×D172C22×C412yes—
198C2×C4×D43—21no—
199C2×C4×D43—21no—
200C2×C4×D43C22×C412yes—
201C2×C4×D43C2×D411yescharacteristic
202C2×C4×D43C2×D411yescharacteristic
203C2×C4×D43C2×D411yescharacteristic
204C2×C4×D43C2×D411yescharacteristic
205C2×C4×D43#4112yes—
206C2×C4×D43#4112yes—
207C2×C4×D43#4112yes—
208M16×C43—21no—
209M16×C43—21no—
210M16×C43—21no—
211M16×C43—21no—
212M16×C43C22×C412yes—
213M16×C43C22×C412yes—
214C2×C8×C43—21no—
215C2×C8×C43—21no—
216C2×C8×C43—21no—
217C2×C8×C43—21no—
218C2×C8×C43—21no—
219C2×C8×C43C2×D411yescharacteristic
220C2×C8×C43C2×D411yescharacteristic
221C4⋊C4×C43—21no—
222C4⋊C4×C43—21no—
223C4⋊C4×C43C2×D411yescharacteristic
224C4⋊C4×C43C2×D411yescharacteristic
225C22⋊C4×C43—21no—
226C42×C43—21no—
227C22⋊Dic43—21no—
228(C2×D43)⋊C4—21no—
229(C2×D43)⋊C4—21no—
230(C2×D43)⋊C4—41no—
231(C2×D43)⋊C4—41no—
232C4⋊Dic43—21no—
233C4⋊Dic43—21no—
234C4⋊Dic43C2×D411yescharacteristic
235C4⋊Dic43C2×D411yescharacteristic
236Dic43⋊C4—21no—
237Dic43⋊C4—21no—
238C4×Dic43—21no—
239C4×Dic43—21no—
240C4×Dic43—21no—
241C4×Dic43—41no—
242C4×Dic43—41no—
243#10621877—21no—
244#10621877—21no—
245#10621877—21no—
246#10621877—21no—
247#10621877C22×C412yes—
248#10621877C22×C412yes—
249C2×C43⋊C8—21no—
250C2×C43⋊C8—21no—
251C2×C43⋊C8—21no—
252C2×C43⋊C8—21no—
253C2×C43⋊C8—21no—
254C2×C43⋊C8C2×D411yescharacteristic
255C2×C43⋊C8C2×D411yescharacteristic
256#10621872—24no—
257#10621872—24no—
258#10621872—22no—
259#10621872—22no—
260#10621872—22no—
261#10621872—22no—
262#10621872—42no—
263C8×D43—24no—
264C8×D43—24no—
265C8×D43—42no—
266C23×C43—22no—
267C23×C43—41no—
268C23×C43—41no—
269C23×C43—81no—
270C23×C43—81no—
271C23×C43C2×#4111yescharacteristic
272C22×D43—22no—
273C22×D43—41no—
274C22×D43—41no—
275C22×D43—41no—
276C22×D43—41no—
277C22×D43—44no—
278C22×D43—44no—
279C22×D43—82no—
280C22×D43—82no—
281C22×D43—82no—
282C22×D43—82no—
283C22×D43—88no—
284C22×D43—88no—
285C22×D43—81no—
286C22×D43—81no—
287C22×D43#11712yes—
288C22×D43#12111yescharacteristic
289C22×D43#12111yescharacteristic
290C22×D43#12612yes—
291D4×C43—22no—
292D4×C43—22no—
293D4×C43—41no—
294D4×C43—41no—
295C2×C4×C43—21no—
296C2×C4×C43—21no—
297C2×C4×C43—41no—
298C2×C4×C43—81no—
299C2×C4×C43C23×C411yescharacteristic
300C2×C4×C43C22×D411yescharacteristic
301C2×C4×C43C22×D411yescharacteristic
302C2×C4×C43C2×#4111yescharacteristic
303C2×C4×C43C2×#4111yescharacteristic
304C2×C4×C43C2×#4111yescharacteristic
305C22⋊D43—44no—
306C22⋊D43—44no—
307C2×Dic43—21no—
308C2×Dic43—21no—
309C2×Dic43—41no—
310C2×Dic43—81no—
311C2×Dic43#11712yes—
312C2×Dic43#12111yescharacteristic
313C2×Dic43#12111yescharacteristic
314C2×Dic43#12612yes—
315D172—22no—
316D172—22no—
317D172—41no—
318D172—41no—
319C4×D43—81no—
320C4×D43—81no—
321C4×D43C4×D412yes—
322C4×D43C4×D412yes—
323C4×D43C4×D412yes—
324C4×D43C4×D412yes—
325C4×D43#12312yes—
326C4×D43#12312yes—
327C4×D43#12412yes—
328C4×D43#12412yes—
329C8×C43—22no—
330C8×C43—22no—
331C8×C43—21no—
332C8×C43—21no—
333C8×C43—41no—
334C43⋊C8—22no—
335C43⋊C8—22no—
336C43⋊C8—21no—
337C43⋊C8—21no—
338C43⋊C8—41no—
339#21078—431nomaximal, Sylow
340C22×C43—21no—
341C22×C43—21no—
342C22×C43—42no—
343C22×C43—82no—
344C22×C43—82no—
345C22×C43—81no—
346C22×C43—81no—
347C22×C43C2×#11711yescharacteristic
348C22×C43C2×#12111yescharacteristic
349C22×C43C2×#12611yescharacteristic
350C2×D43—21no—
351C2×D43—21no—
352C2×D43—21no—
353C2×D43—21no—
354C2×D43—42no—
355C2×D43—42no—
356C2×D43—42no—
357C2×D43—88no—
358C2×D43—88no—
359C2×D43—82no—
360C2×D43—81no—
361C2×D43—81no—
362C2×D43—82no—
363C2×D43#38812yes—
364C2×D43#38812yes—
365C4×C43—41no—
366C4×C43—41no—
367C4×C43—81no—
368C4×C43C2×C4×D411yescharacteristic
369C4×C43C2×C4×D411yescharacteristic
370C4×C43C2×#12311yescharacteristic
371C4×C43C2×#12411yescharacteristic
372Dic43—41no—
373Dic43—41no—
374Dic43—81no—
375Dic43#38812yes—
376Dic43#38812yes—
377#2911—431no—
378C2×#418—431no—
379C2×#418—431no—
380C22×#100—431no—
381#2873—431no—
382#1931—431no—
383#1931—431no—
384#1931—431no—
385#1931—431no—
386#1931—431no—
387#1931—431no—
388#1931—431no—
389#1931D4311yescharacteristic, complemented
390#1742—431no—
391#1738—431no—
392C2×C43—21no—
393C2×C43—21no—
394C2×C43—82no—
395C2×C43C2×#38811yescharacteristic
396C2×C43#306811yescharacteristic
397C2×C43#306811yescharacteristic
398D43—22no—
399D43—22no—
400D43—82no—
401C23×D4—431no—
402C22×M16—431no—
403C22×M16—431no—
404C22×M16—431no—
405C22×M16—431no—
406C2×#117—431no—
407C2×#117—431no—
408#428—431no—
409#428—431no—
410#428—431no—
411#428—861no—
412#428—861no—
413#428C2×D4311yescharacteristic, complemented
414#427—861no—
415#427—861no—
416#418—431no—
417#418—431no—
418#418—431no—
419#418—861no—
420#418—861no—
421#418—861no—
422#418—861no—
423#418—861no—
424#418—861no—
425#418C2×D4311yescharacteristic
426C2×#102—431no—
427C2×#102—431no—
428C2×#102—431no—
429C2×#102—861no—
430C2×#102—861no—
431C2×#102C2×D4311yescharacteristic
432C2×#100—431no—
433C2×#100—431no—
434C2×#100—431no—
435C2×#100—438no—
436C2×#100C2×D4311yescharacteristic
437#405—431no—
438#405—431no—
439#405—431no—
440#405—861no—
441#405—861no—
442#405C2×D4311yescharacteristic, complemented
443C4×M16—861no—
444C4×M16—861no—
445#343—431no—
446#343—431no—
447#343—431no—
448#343C2×D4311yescharacteristic, complemented
449#341—431no—
450#341—431no—
451#341—431no—
452#341C2×D4311yescharacteristic, complemented
453C43#2107811yescharacteristic, complemented, Sylow
454C25—861no—
455C22×D4—434no—
456C22×D4—431no—
457C22×D4—861no—
458C22×D4—861no—
459C22×D4—861no—
460C22×D4—861no—
461C22×D4—862no—
462C22×D4—862no—
463C22×D4—862no—
464C22×D4—861no—
465C22×D4C22×D4311yescharacteristic
466C23×C4—431no—
467C2×M16—431no—
468C2×M16—431no—
469C2×M16—431no—
470C2×M16—431no—
471C2×M16—431no—
472C2×M16—431no—
473C2×M16—434no—
474C2×M16—434no—
475C2×M16—431no—
476C2×M16—861no—
477C2×M16—862no—
478C2×M16—862no—
479C2×M16—861no—
480C2×M16—861no—
481C2×M16—862no—
482C2×M16—862no—
483C2×M16—862no—
484C2×M16—862no—
485C2×M16C22×D4311yescharacteristic
486C2×M16C22×D4311yescharacteristic
487C2×M16C22×D4311yescharacteristic
488C22×C8—431no—
489C22×C8—861no—
490C22×C8—861no—
491C22×C8—861no—
492C22×C8C22×D4311yescharacteristic
493#117—431no—
494#117—431no—
495#117—431no—
496#117—861no—
497#117—861no—
498#117—861no—
499#117—861no—
500#117—861no—
501#117—861no—
502#117C22×D4311yescharacteristic
503C2×C4⋊C4—431no—
504C2×C4⋊C4—431no—
505C2×C4⋊C4—431no—
506C2×C4⋊C4C22×D4311yescharacteristic
507C2×C22⋊C4—861no—
508C2×C22⋊C4—861no—
509C2×C42—861no—
510C2×C42—861no—
511#107—21no—
512#107—861no—
513#107—861no—
514#107—861no—
515#106—21no—
516#106—861no—
517#106—861no—
518#106—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#102—861no—
530#102—861no—
531#102—861no—
532#102—861no—
533#102—861no—
534#102—861no—
535#100—434no—
536#100—434no—
537#100—434no—
538#100C4×D4314yescomplemented
539#97—21no—
540#97—861no—
541#97—861no—
542#97—861no—
543C4×C8—21no—
544C4×C8—861no—
545C4×C8—861no—
546C4×C8—861no—
547C24—21no—
548C24—431no—
549C24—864no—
550C24—861no—
551C24—3442no—
552C24—3442no—
553C24—1721no—
554C24—1721no—
555C24—1722no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—432no—
562C2×D4—864no—
563C2×D4—864no—
564C2×D4—864no—
565C2×D4—864no—
566C2×D4—864no—
567C2×D4—861no—
568C2×D4—861no—
569C2×D4—861no—
570C2×D4—861no—
571C2×D4—861no—
572C2×D4—1722no—
573C2×D4—1722no—
574C2×D4—1722no—
575C2×D4—1722no—
576C2×D4—1721no—
577C2×D4—1721no—
578C2×D4—1722no—
579C2×D4C2×C4×D4312yes—
580C22×C4—21no—
581C22×C4—431no—
582C22×C4—432no—
583C22×C4—431no—
584C22×C4—431no—
585C22×C4—431no—
586C22×C4—431no—
587C22×C4—432no—
588C22×C4—432no—
589C22×C4—432no—
590C22×C4—861no—
591C22×C4—861no—
592C22×C4—861no—
593C22×C4C23×D4311yescharacteristic
594M16—21no—
595M16—21no—
596M16—21no—
597M16—21no—
598M16—432no—
599M16—432no—
600M16—864no—
601M16—864no—
602M16—862no—
603M16—862no—
604M16—862no—
605M16—862no—
606M16—861no—
607M16—861no—
608M16—861no—
609M16—861no—
610M16—1722no—
611M16C2×C4×D4312yes—
612M16C2×C4×D4312yes—
613C2×C8—21no—
614C2×C8—21no—
615C2×C8—21no—
616C2×C8—21no—
617C2×C8—21no—
618C2×C8—431no—
619C2×C8—431no—
620C2×C8—864no—
621C2×C8—864no—
622C2×C8—861no—
623C2×C8—861no—
624C2×C8—861no—
625C2×C8—861no—
626C2×C8—861no—
627C2×C8—1722no—
628C2×C8D4×D4311yescharacteristic
629C2×C8D4×D4311yescharacteristic
630C4⋊C4—21no—
631C4⋊C4—21no—
632C4⋊C4—431no—
633C4⋊C4—431no—
634C4⋊C4—861no—
635C4⋊C4—861no—
636C4⋊C4—861no—
637C4⋊C4—861no—
638C4⋊C4D4×D4311yescharacteristic
639C4⋊C4D4×D4311yescharacteristic
640C22⋊C4—21no—
641C22⋊C4—861no—
642C22⋊C4—861no—
643C22⋊C4—861no—
644C22⋊C4—1721no—
645C22⋊C4—1721no—
646C42—21no—
647C42—861no—
648C42—861no—
649C42—861no—
650C42—1721no—
651C42—1721no—
652C23—22no—
653C23—41no—
654C23—41no—
655C23—81no—
656C23—81no—
657C23—431no—
658C23—431no—
659C23—432no—
660C23—432no—
661C23—862no—
662C23—3441no—
663C23—3441no—
664C23—3442no—
665C23—3442no—
666C23—3442no—
667C23—3442no—
668C23—3448no—
669C23—3448no—
670C23—1721no—
671C23—1721no—
672C23—1724no—
673C23—1724no—
674C23—1721no—
675C23—1721no—
676C23#41×D4311yescharacteristic
677D4—22no—
678D4—22no—
679D4—41no—
680D4—41no—
681D4—862no—
682D4—862no—
683D4—1724no—
684D4—1724no—
685D4—1721no—
686D4—1721no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—41no—
690C2×C4—81no—
691C2×C4—432no—
692C2×C4—431no—
693C2×C4—431no—
694C2×C4—432no—
695C2×C4—432no—
696C2×C4—432no—
697C2×C4—432no—
698C2×C4—432no—
699C2×C4—432no—
700C2×C4—432no—
701C2×C4—432no—
702C2×C4—432no—
703C2×C4—861no—
704C2×C4—861no—
705C2×C4—3441no—
706C2×C4—3441no—
707C2×C4—3441no—
708C2×C4—1721no—
709C2×C4C22×C4×D4311yescharacteristic
710C2×C4C2×D4×D4311yescharacteristic
711C2×C4C2×D4×D4311yescharacteristic
712C2×C4#41×D4311yescharacteristic
713C2×C4#41×D4311yescharacteristic
714C2×C4#41×D4311yescharacteristic
715C8—22no—
716C8—22no—
717C8—21no—
718C8—21no—
719C8—41no—
720C8—862no—
721C8—862no—
722C8—861no—
723C8—861no—
724C8—1721no—
725C22—21no—
726C22—21no—
727C22—42no—
728C22—82no—
729C22—82no—
730C22—81no—
731C22—81no—
732C22—432no—
733C22—432no—
734C22—861no—
735C22—861no—
736C22—861no—
737C22—861no—
738C22—3442no—
739C22—3442no—
740C22—3448no—
741C22—3448no—
742C22—3441no—
743C22—3441no—
744C22—1722no—
745C22—1722no—
746C22—1722no—
747C22#117×D4311yescharacteristic
748C22#121×D4311yescharacteristic
749C22#126×D4311yescharacteristic
750C4—41no—
751C4—41no—
752C4—81no—
753C4—432no—
754C4—432no—
755C4—3441no—
756C4—1721no—
757C4—1721no—
758C4C4×D4×D4311yescharacteristic
759C4C4×D4×D4311yescharacteristic
760C4#123×D4311yescharacteristic
761C4#124×D4311yescharacteristic
762C2—21no—
763C2—21no—
764C2—82no—
765C2—862no—
766C2—862no—
767C2—3442no—
768C2#388×D4311yescharacteristic
769C2#1914431811yescharacteristic
770C2#1914432111yescharacteristic
subgroupG/H
centerC22#121×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1931C2
socleC22×C43C2×#121
prime radicalC22×D4×D43C22
cosocleC22×C4×C43C24
hypercenter#1931D43
hypocenterC43#21078
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1931

Complements

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

NH ≅ G/Ntype
1. #19143182C2semidirect
5. #19143011C2semidirect
6. #19135260C2semidirect
7. #19135259C2semidirect
8. #19135258C2semidirect
9. #19135257C2semidirect
10. #19135256C2semidirect
11. #19135255C2semidirect
12. #19135254C2semidirect
13. #19134332C2semidirect
14. #19134320C2semidirect
15. C43×#1931C2semidirect
23. #14582942C22semidirect
24. #14582941C22semidirect
26. #14582939C22semidirect
47. #100×D43C4semidirect
48. #14582857C22semidirect
50. #14582855C22semidirect
51. #14582854C22semidirect
55. #14582668C22semidirect
56. #14582667C22semidirect
57. #14582667C22semidirect
58. #14582664C22semidirect
59. #14582663C22semidirect
60. #14582663C22semidirect
61. C43×#428C22semidirect
65. C43×#405C22semidirect
66. C43×#343C22semidirect
67. C43×#341C22semidirect
136. #13063242C2×C4semidirect
137. #13063241C2×C4semidirect
138. #13063241C2×C4semidirect
158. #100×C43C2×C4semidirect
389. #1931D43semidirect
413. #428C2×D43semidirect
442. #405C2×D43semidirect
448. #343C2×D43semidirect
452. #341C2×D43semidirect
453. C43#21078semidirect
538. #100C4×D43semidirect

Maximal subgroups

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

subgroupindex
#191431822
C2×#145829022
#418×D432
C2×#100×D432
#191430112
#191352602
#191352592
#191352582
#191352572
#191352562
#191352552
#191352542
#191343322
#191343202
C43×#19312
#2107843