Finite Group Databasebeta

← #14458658

Subgroups — #14458658

Order 1920.

816 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11754665C211yesmaximal, characteristic
2#11754403C211yesmaximal, characteristic, complemented
3#11751214C211yesmaximal, characteristic, complemented
4C5×#5114C211yesmaximal, characteristic, complemented
5C3×C8×C22⋊D5C211yesmaximal, characteristic, complemented
6#11748566C211yesmaximal, characteristic, complemented
7#11748378C211yesmaximal, characteristic, complemented
8#11748114C211yesmaximal, characteristic, complemented
9D5×#821C211yesmaximal, characteristic, complemented
10#11747963C211yesmaximal, characteristic, complemented
11#11747961C211yesmaximal, characteristic, complemented
12#11747939C211yesmaximal, characteristic, complemented
13#11747833C211yesmaximal, characteristic, complemented
14#11747773C211yesmaximal, characteristic, complemented
15#11747611C211yesmaximal, characteristic, complemented
16#10612402—31nomaximal, Hall
17C2×#6817C2211yescharacteristic
18C2×D5×D12C2211yescharacteristic
19C22×C3×C5×C8C2211yescharacteristic, complemented
20#91815C2211yescharacteristic, complemented
21C5×#930C2211yescharacteristic
22C5×#924C2211yescharacteristic, complemented
23C2×C5×#204C2211yescharacteristic
24C3×C4×C22⋊D5C2211yescharacteristic
25C2×C3×C8×D5C2211yescharacteristic
26#91577—21no—
27#91557—21no—
28#91548—21no—
29#91530—21no—
30#91473—21no—
31#91418C2211yescharacteristic
32D5×C4⋊Dic3C2211yescharacteristic
33#91394—21no—
34#91388C2211yescharacteristic, complemented
35#91382—21no—
36#91373C2211yescharacteristic
37#91360C2211yescharacteristic
38#91359C2211yescharacteristic
39#91355—21no—
40Dic5×Dic6C2211yescharacteristic, complemented
41C2×#6663C2211yescharacteristic, complemented
42C2×#6660C2211yescharacteristic
43#91105C2211yescharacteristic
44#91105C2211yescharacteristic
45#91100C2211yescharacteristic, complemented
46#91100C2211yescharacteristic, complemented
47C5×#821C2211yescharacteristic
48C5×#817C2211yescharacteristic, complemented
49C5×#816C2211yescharacteristic, complemented
50C3×C22⋊#168C2211yescharacteristic, complemented
51C3×#3952C2211yescharacteristic
52C3×#3946C2211yescharacteristic, complemented
53C3×C8×Dic5C2211yescharacteristic, complemented
54#90988C2211yescharacteristic, complemented
55#90985C2211yescharacteristic, complemented
56#90975C2211yescharacteristic, complemented
57#90969C2211yescharacteristic
58#90967C2211yescharacteristic
59#90967C2211yescharacteristic
60#79440—51nomaximal, Hall
61#65973—31no—
62#65946—31no—
63C5×#465—31no—
64#65458—31no—
65#65455—31no—
66#65402—31no—
67C8×C22⋊D5D311yescharacteristic, complemented
68#65336—31no—
69#65324—31no—
70#65160—31no—
71#65151—31no—
72#65102—31no—
73#65077—31no—
74D5×#102—31no—
75#65057—31no—
76C22×D3×D5—21no—
77C22×C3×C4×C5C2311yescharacteristic
78C2×#1220—21no—
79#6817—22no—
80#6817—41no—
81C2×D60C2311yescharacteristic
82C2×C4×D15—21no—
83C2×Dic30C2311yescharacteristic
84C2×C5×#67—21no—
85C2×C5×D12C2311yescharacteristic
86C2×C5×Dic6C2311yescharacteristic
87C2×C3×C22⋊D5D411yescharacteristic
88C2×C3×C4×D5C2311yescharacteristic
89C2×#1203—21no—
90C2×#1200—21no—
91C2×D5×Dic3—21no—
92D5×D12—22no—
93D5×D12—41no—
94C2×C3×C5×C8—41no—
95C2×C3×C5×C8C2311yescharacteristic
96C2×C3×C5×C8C2311yescharacteristic
97#6719—21no—
98C4⋊Dic15C2311yescharacteristic
99C4⋊Dic15C2311yescharacteristic
100C4×Dic15—21no—
101C5×#217—21no—
102C5×(C2×D3)⋊C4—21no—
103C5×C4⋊Dic3C2311yescharacteristic
104C5×C4⋊Dic3C2311yescharacteristic
105C5×Dic3⋊C4—21no—
106C5×#204—41no—
107C3×C22⋊Dic5D411yescharacteristic
108C3×#685D411yescharacteristic
109C3×#683D411yescharacteristic
110C3×C4×Dic5C2311yescharacteristic
111C2×C3×#168C2311yescharacteristic
112C2×C3×#168C2311yescharacteristic
113C3×C8×D5—41no—
114Dic3⋊Dic5—21no—
115Dic3⋊Dic5—21no—
116Dic3⋊Dic5—21no—
117#6669—21no—
118#6669—21no—
119#6668—21no—
120#6667—21no—
121(C2×D3)⋊Dic5—21no—
122(C2×D3)⋊Dic5—21no—
123#6665—21no—
124#6665—21no—
125Dic3×Dic5—21no—
126#6663—41no—
127#6660—22no—
128#5550—51no—
129#5541—51no—
130C3×C8×D4—51no—
131#5116—51no—
132#5114D511yescharacteristic, complemented
133#5113—51no—
134C2×#821—51no—
135#4847—51no—
136#4845—51no—
137#4737—51no—
138#4733—51no—
139#4731—51no—
140#4721—51no—
141#4697—51no—
142C4×#204—51no—
143C2×D4×D5—31no—
144C2×#709—31no—
145C2×C5×SD16—31no—
146C22×C5×C8C2×D311yescharacteristic, complemented
147C5×C22⋊Q8—31no—
148C5×#121—31no—
149#4092—31no—
150Q8×Dic5—31no—
151C2×#689—31no—
152C2×#688—31no—
153#4084—61no—
154#4083—61no—
155#4082—31no—
156C4×C22⋊D5C2×D311yescharacteristic
157#4072—31no—
158C2×C8×D5C2×D311yescharacteristic
159#4043—31no—
160#4039—31no—
161#4038—61no—
162D5×C4⋊C4—31no—
163#4036—31no—
164#4035—61no—
165#4029—61no—
166#4029—61no—
167D5×C22⋊C4—61no—
168#4025—61no—
169C5×#106—31no—
170C5×#103—31no—
171C5×#102—31no—
172#3964—31no—
173#3964—31no—
174C22⋊#168C2×D311yescharacteristic, complemented
175#3953—31no—
176#3953—31no—
177#3952C2×D311yescharacteristic
178#3948—31no—
179#3948—31no—
180#3946C2×D311yescharacteristic, complemented
181C8×Dic5C2×D311yescharacteristic, complemented
182#3942—31no—
183#3941—31no—
184#3940—31no—
185#3939—31no—
186#3296—151noSylow
187C23×C3×C5C2×D411yescharacteristic
188C22×D15—21no—
189C22×C5×D3—21no—
190C22×C3×D5C2×D411yescharacteristic
191C2×D3×D5—42no—
192C2×D3×D5—42no—
193C2×D3×D5—81no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198#1220—42no—
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×Dic15—21no—
202D60—21no—
203D60#4112yes—
204C4×D15—42no—
205Dic30—21no—
206Dic30—21no—
207C5×#67—81no—
208C2×C5×Dic3—21no—
209C2×C5×Dic3—21no—
210C2×C5×Dic3—21no—
211C5×D12—21no—
212C5×D12—21no—
213C5×Dic6—21no—
214C5×Dic6—21no—
215C3×C22⋊D5—22no—
216C2×C3×Dic5C2×D411yescharacteristic
217C2×C3×Dic5C2×D411yescharacteristic
218C2×C3×Dic5C2×D411yescharacteristic
219C3×C4×D5—21no—
220C3×C4×D5—21no—
221#1203—42no—
222#1200—81no—
223D5×Dic3—42no—
224C3×C5×C8—21no—
225C3×C5×C8—21no—
226C3×#168—21no—
227C3×#168—21no—
228C2×#235—51no—
229C22×D12—51no—
230C22×C3×C8—51no—
231C22×C3×C8C2×D511yescharacteristic, complemented
232C3×C4×D4—51no—
233#937—101no—
234#935—101no—
235#930C2×D511yescharacteristic
236#926—51no—
237C2×C4⋊Dic3—51no—
238#924—51no—
239#924—51no—
240#924C2×D511yescharacteristic, complemented
241C2×Dic12—51no—
242C2×#204—51no—
243C2×#204C2×D511yescharacteristic
244#894—101no—
245#889—101no—
246#884—101no—
247D3×C22⋊C4—101no—
248#879—101no—
249#877—101no—
250#875—51no—
251C4×D12—51no—
252#870—51no—
253C4×Dic6—51no—
254C3×C4⋊C8—51no—
255C3×C22⋊C8—51no—
256C3×C22⋊C8—51no—
257C3×C4×C8—51no—
258#821—51no—
259#821—51no—
260#821—51no—
261#821—51no—
262#821—51no—
263#821C2×D511yescharacteristic
264#818—51no—
265#817—51no—
266#817C2×D511yescharacteristic, complemented
267#816—51no—
268#816—51no—
269#816—51no—
270#816C2×D511yescharacteristic, complemented
271C23×D5—61no—
272C2×C5×Q8—31no—
273C2×C5×D4—31no—
274C2×C5×D4—61no—
275C22×C4×C5C22×D311yescharacteristic
276C2×C22⋊D5—61no—
277C2×C22⋊D5—61no—
278C2×C22⋊D5D1211yescharacteristic
279D4×D5—62no—
280D4×D5—121no—
281#709—62no—
282#709—121no—
283C2×D20—31no—
284C2×C4×D5—61no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×C4×D5C22×D311yescharacteristic
288C2×Dic10—31no—
289C5×SD16—121no—
290C2×C5×C8—41no—
291C2×C5×C8C22×D311yescharacteristic
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4—31no—
295C5×C4⋊C4—61no—
296C5×C22⋊C4—61no—
297C5×C22⋊C4—61no—
298C22⋊Dic5—61no—
299C22⋊Dic5—61no—
300C22⋊Dic5—61no—
301C22⋊Dic5D1211yescharacteristic
302#689—121no—
303#688—62no—
304#685—61no—
305#685—61no—
306#685—61no—
307#685D1211yescharacteristic
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5—61no—
311C4⋊Dic5—61no—
312C4⋊Dic5—61no—
313#683—61no—
314#683—61no—
315#683—61no—
316#683D1211yescharacteristic
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5C22×D311yescharacteristic
320C2×#168C22×D311yescharacteristic
321C2×#168C22×D311yescharacteristic
322C8×D5—41no—
323#552—151no—
324#546—151no—
325#488—151no—
326#483—151no—
327#482—151no—
328#478—151no—
329#467—151no—
330#465—31no—
331#464—151no—
332#452—151no—
333#450—151no—
334C4×SD16—151no—
335C8×D4—51no—
336#416—151no—
337C2×#102—151no—
338C22×C3×C5—21no—
339C22×C3×C5—21no—
340C22×C3×C5—21no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—22no—
343C2×D15—41no—
344C2×D15—41no—
345C2×C5×D3—41no—
346C2×C5×D3—41no—
347C2×C5×D3—41no—
348C2×C3×D5—21no—
349C2×C3×D5—21no—
350C2×C3×D5#13512yes—
351D3×D5—84no—
352C3×C4×C5—21no—
353C3×C4×C5C2×#4111yescharacteristic
354C3×C4×C5H(5,𝔽2)11yescharacteristic
355Dic15—41no—
356Dic15—41no—
357Dic15—41no—
358C3×Dic5—21no—
359C3×Dic5—21no—
360C3×Dic5—21no—
361C5×Dic3—41no—
362C5×Dic3—41no—
363C5×Dic3—41no—
364C23×D3—101no—
365C2×C3×D4—51no—
366C22×C3×C4—51no—
367C22×C3×C4C22×D511yescharacteristic
368C2×#67—21no—
369C2×#67—101no—
370C22×Dic3—101no—
371#235—102no—
372#235—201no—
373C2×D12—51no—
374C2×D12—102no—
375C2×D12—101no—
376C2×D12—201no—
377C2×D12C22×D511yescharacteristic
378C2×C4×D3—101no—
379C2×C4×D3—101no—
380C2×Dic6—51no—
381C2×Dic6C22×D511yescharacteristic
382C2×C3×C8—41no—
383C2×C3×C8—51no—
384C2×C3×C8—51no—
385C2×C3×C8—201no—
386C2×C3×C8C22×D511yescharacteristic
387C2×C3×C8C22×D511yescharacteristic
388C3×C4⋊C4—51no—
389C3×C22⋊C4—51no—
390C3×C22⋊C4—51no—
391C3×C42—51no—
392#217—21no—
393#217—101no—
394#217—101no—
395#217—101no—
396(C2×D3)⋊C4—21no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399(C2×D3)⋊C4—101no—
400C4⋊Dic3—51no—
401C4⋊Dic3—51no—
402C4⋊Dic3—101no—
403C4⋊Dic3C22×D511yescharacteristic
404C4⋊Dic3C22×D511yescharacteristic
405Dic3⋊C4—21no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408Dic3⋊C4—101no—
409Dic3⋊C4—101no—
410Dic3⋊C4—101no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413Dic12—201no—
414#204—41no—
415#204—102no—
416C23×C5—61no—
417C23×C5C2×D1211yescharacteristic
418C22×D5—61no—
419C22×D5—122no—
420C22×D5—122no—
421C22×D5—241no—
422C22×D5C2×D1211yescharacteristic
423C5×Q8—61no—
424C5×Q8—61no—
425C5×D4—61no—
426C5×D4—61no—
427C5×D4—241no—
428C2×C4×C5—21no—
429C2×C4×C5—21no—
430C2×C4×C5—61no—
431C2×C4×C5—61no—
432C2×C4×C5—61no—
433C2×C4×C5C2×D1211yescharacteristic
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—22no—
436C22⋊D5—122no—
437C22⋊D5—122no—
438C2×Dic5—61no—
439C2×Dic5—61no—
440C2×Dic5—61no—
441C2×Dic5C2×D1211yescharacteristic
442C2×Dic5C2×D1211yescharacteristic
443C2×Dic5C2×D1211yescharacteristic
444D20—32no—
445D20—61no—
446C4×D5—21no—
447C4×D5—21no—
448C4×D5—122no—
449C4×D5—122no—
450C4×D5—241no—
451Dic10—61no—
452Dic10—61no—
453C5×C8—21no—
454C5×C8—21no—
455#168—21no—
456#168—21no—
457C2×#41—151no—
458C22×D4—151no—
459C2×Q16—151no—
460C2×SD16—31no—
461C2×SD16—151no—
462C22×C8—51no—
463C22×C8D3×D511yescharacteristic, complemented
464#126—301no—
465#125—151no—
466#125—301no—
467#124—151no—
468#123—301no—
469#123—301no—
470C22⋊Q8—31no—
471C22⋊Q8—151no—
472C22⋊Q8—151no—
473#121—31no—
474#121—301no—
475#120—301no—
476C4×Q8—151no—
477C4×D4—51no—
478C4×D4—151no—
479#117—151no—
480#117—301no—
481C2×C4⋊C4—151no—
482C2×C22⋊C4—301no—
483#107—151no—
484#106—31no—
485#106—151no—
486C4⋊C8—51no—
487#103—31no—
488#103—151no—
489#103—151no—
490#103—151no—
491#102—31no—
492#102—151no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102—151no—
497C22⋊C8—51no—
498C22⋊C8—51no—
499C4×C8—51no—
500C2×C3×C5—41no—
501C2×C3×C5#54611yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—42no—
505C3×D5—22no—
506C5×D3—81no—
507C23×C3—51no—
508C23×C3D4×D511yescharacteristic
509C22×D3—21no—
510C22×D3—101no—
511C22×D3—202no—
512C22×D3—202no—
513C22×D3—401no—
514C3×D4—102no—
515C2×C3×C4—21no—
516C2×C3×C4—21no—
517C2×C3×C4—51no—
518C2×C3×C4—51no—
519C2×C3×C4—51no—
520C2×C3×C4—101no—
521C2×C3×C4—101no—
522C2×C3×C4D4×D511yescharacteristic
523C2×C3×C4C23×D511yescharacteristic
524#67—81no—
525#67—202no—
526C2×Dic3—21no—
527C2×Dic3—21no—
528C2×Dic3—21no—
529C2×Dic3—101no—
530C2×Dic3—101no—
531C2×Dic3—101no—
532C2×Dic3—202no—
533D12—21no—
534D12—21no—
535D12—52no—
536D12—101no—
537D12—202no—
538C4×D3—202no—
539C4×D3—401no—
540Dic6—21no—
541Dic6—21no—
542Dic6—101no—
543Dic6—101no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—101no—
547C3×C8—101no—
548C22×C5—21no—
549C22×C5—21no—
550C22×C5—21no—
551C22×C5—121no—
552C22×C5—121no—
553C22×C5—121no—
554C22×C5C22×D1211yescharacteristic
555C2×D5—21no—
556C2×D5—21no—
557C2×D5—62no—
558C2×D5—121no—
559C2×D5—121no—
560C2×D5—244no—
561C2×D5#90412yes—
562C4×C5—21no—
563C4×C5—121no—
564C4×C5—121no—
565C4×C5—121no—
566C4×C5#100411yescharacteristic
567C4×C5D3×#4111yescharacteristic
568Dic5—21no—
569Dic5—21no—
570Dic5—21no—
571Dic5—121no—
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—302no—
576#41—601no—
577C2×Q8—31no—
578C2×Q8—151no—
579C2×D4—31no—
580C2×D4—51no—
581C2×D4—61no—
582C2×D4—151no—
583C2×D4—301no—
584C2×D4—302no—
585C2×D4—301no—
586C2×D4—601no—
587C22×C4—51no—
588C22×C4—301no—
589C22×C4—301no—
590C22×C4—301no—
591C22×C4C2×D3×D511yescharacteristic
592Q16—601no—
593SD16—121no—
594SD16—302no—
595C2×C8—41no—
596C2×C8—51no—
597C2×C8—51no—
598C2×C8—201no—
599C2×C8C2×D3×D511yescharacteristic
600C2×C8C2×D3×D511yescharacteristic
601C4⋊C4—31no—
602C4⋊C4—31no—
603C4⋊C4—51no—
604C4⋊C4—61no—
605C4⋊C4—151no—
606C4⋊C4—151no—
607C4⋊C4—301no—
608C4⋊C4—301no—
609C4⋊C4—301no—
610C4⋊C4—301no—
611C4⋊C4—301no—
612C4⋊C4—301no—
613C22⋊C4—51no—
614C22⋊C4—51no—
615C22⋊C4—61no—
616C22⋊C4—61no—
617C22⋊C4—301no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—51no—
624C42—301no—
625C42—301no—
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—52no—
631C22×C3—101no—
632C22×C3—101no—
633C22×C3C2×D4×D511yescharacteristic
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—102no—
638C2×D3—201no—
639C2×D3—201no—
640C2×D3—404no—
641C3×C4—21no—
642C3×C4—101no—
643C3×C4—101no—
644C3×C4—101no—
645C3×C4#414411yescharacteristic
646C3×C4D5×#4111yescharacteristic
647Dic3—41no—
648Dic3—41no—
649Dic3—41no—
650Dic3—201no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—41no—
654C2×C5—241no—
655C2×C5#555411yescharacteristic
656C2×C5C2×#90411yescharacteristic
657C2×C5#575111yescharacteristic
658D5—22no—
659D5—122no—
660C23—51no—
661C23—61no—
662C23—301no—
663C23—602no—
664C23—602no—
665C23—1201no—
666C23D5×D1211yescharacteristic
667Q8—61no—
668Q8—61no—
669Q8—301no—
670Q8—301no—
671D4—61no—
672D4—61no—
673D4—102no—
674D4—152no—
675D4—241no—
676D4—301no—
677D4—602no—
678D4—602no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—51no—
682C2×C4—51no—
683C2×C4—51no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—101no—
688C2×C4—101no—
689C2×C4—301no—
690C2×C4—301no—
691C2×C4—301no—
692C2×C4—602no—
693C2×C4—602no—
694C2×C4—1201no—
695C2×C4D5×D1211yescharacteristic
696C2×C4C22×D3×D511yescharacteristic
697C8—21no—
698C8—21no—
699C8—101no—
700C8—101no—
701C2×C3—41no—
702C2×C3—102no—
703C2×C3#6594411yescharacteristic
704C2×C3#6609611yescharacteristic
705C2×C3D5×#13511yescharacteristic
706D3—81no—
707D3—202no—
708C5#7944011yescharacteristic, complemented, Sylow
709C22—21no—
710C22—21no—
711C22—21no—
712C22—52no—
713C22—101no—
714C22—101no—
715C22—121no—
716C22—121no—
717C22—121no—
718C22—302no—
719C22—601no—
720C22—601no—
721C22—1204no—
722C22C2×D5×D1211yescharacteristic
723C4—21no—
724C4—101no—
725C4—101no—
726C4—101no—
727C4—121no—
728C4—121no—
729C4—121no—
730C4—601no—
731C4—601no—
732C4—601no—
733C4#9201611yescharacteristic
734C4#9204911yescharacteristic
735C3#1061240211yescharacteristic, complemented, Sylow
736C2—41no—
737C2—102no—
738C2—241no—
739C2—602no—
740C2D5×#90411yescharacteristic
741C2#1175396011yescharacteristic
742C2#1175464811yescharacteristic
subgroupG/H
centerC22C2×D5×D12
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×C8C22
socleC22×C3×C5C22×D4
prime radical#11754665C2
hypercenterC22×C8D3×D5
hypocenterC3×C5#3296
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
2. #11754403C2semidirect
3. #11751214C2semidirect
4. C5×#5114C2semidirect
5. C3×C8×C22⋊D5C2semidirect
6. #11748566C2semidirect
7. #11748378C2semidirect
8. #11748114C2semidirect
9. D5×#821C2semidirect
10. #11747963C2semidirect
11. #11747961C2semidirect
12. #11747939C2semidirect
13. #11747833C2semidirect
14. #11747773C2semidirect
15. #11747611C2semidirect
19. C22×C3×C5×C8C22semidirect
20. #91815C22semidirect
22. C5×#924C22semidirect
34. #91388C22semidirect
40. Dic5×Dic6C22semidirect
41. C2×#6663C22semidirect
45. #91100C22semidirect
46. #91100C22semidirect
48. C5×#817C22semidirect
49. C5×#816C22semidirect
50. C3×C22⋊#168C22semidirect
52. C3×#3946C22semidirect
53. C3×C8×Dic5C22semidirect
54. #90988C22semidirect
55. #90985C22semidirect
56. #90975C22semidirect
67. C8×C22⋊D5D3semidirect
132. #5114D5semidirect
146. C22×C5×C8C2×D3semidirect
174. C22⋊#168C2×D3semidirect
180. #3946C2×D3semidirect
181. C8×Dic5C2×D3semidirect
231. C22×C3×C8C2×D5semidirect
240. #924C2×D5semidirect
266. #817C2×D5semidirect
270. #816C2×D5semidirect
463. C22×C8D3×D5semidirect
626. C3×C5#3296semidirect
708. C5#79440semidirect
735. C3#10612402semidirect

Maximal subgroups

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

subgroupindex
#117546652
#117544032
#117512142
C5×#51142
C3×C8×C22⋊D52
#117485662
#117483782
#117481142
D5×#8212
#117479632
#117479612
#117479392
#117478332
#117477732
#117476112
#106124023
#794405