Finite Group Databasebeta

← #14458644

Subgroups — #14458644

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#11754667C211yesmaximal, characteristic
2#11754432C211yesmaximal, characteristic, complemented
3#11750834C211yesmaximal, characteristic, complemented
4C5×#67⋊C8C211yesmaximal, characteristic, complemented
5C3×#65026C211yesmaximal, characteristic, complemented
6#11748539C211yesmaximal, characteristic, complemented
7#11748411C211yesmaximal, characteristic, complemented
8#11748120C211yesmaximal, characteristic, complemented
9D3×#3953C211yesmaximal, characteristic, complemented
10#11747972C211yesmaximal, characteristic, complemented
11#11747970C211yesmaximal, characteristic, complemented
12#11747950C211yesmaximal, characteristic, complemented
13#11747801C211yesmaximal, characteristic, complemented
14#11747789C211yesmaximal, characteristic, complemented
15#11747623C211yesmaximal, characteristic, complemented
16#10611171—31nomaximal, Hall
17C2×#6817C2211yescharacteristic
18C2×D3×D20C2211yescharacteristic
19#91813C2211yescharacteristic, complemented
20C2×Dic60C2211yescharacteristic, complemented
21C2×#6706C2211yescharacteristic
22C4×C5×#67C2211yescharacteristic
23C22×C5×C3⋊C8C2211yescharacteristic, complemented
24C2×C5×D3×C8C2211yescharacteristic
25C3×#4076C2211yescharacteristic
26C3×#4072C2211yescharacteristic, complemented
27#91577—21no—
28#91555—21no—
29#91533—21no—
30#91530—21no—
31#91473—21no—
32#91428C2211yescharacteristic
33D3×C4⋊Dic5C2211yescharacteristic
34#91398—21no—
35#91381C2211yescharacteristic, complemented
36#91378—21no—
37#91365C2211yescharacteristic
38#91365C2211yescharacteristic
39#91364C2211yescharacteristic
40#91354—21no—
41#91340C2211yescharacteristic, complemented
42C2×#6657C2211yescharacteristic
43C3×C5×C22⋊C8C2211yescharacteristic, complemented
44#91105C2211yescharacteristic
45#91100C2211yescharacteristic, complemented
46C5×(C2×D3)⋊C8C2211yescharacteristic
47C5×Dic3⋊C8C2211yescharacteristic, complemented
48C5×C8×Dic3C2211yescharacteristic, complemented
49C3×#3953C2211yescharacteristic
50C3×#3953C2211yescharacteristic
51C3×#3950C2211yescharacteristic, complemented
52C3×#3949C2211yescharacteristic, complemented
53#90987C2211yescharacteristic, complemented
54#90974C2211yescharacteristic, complemented
55#90974C2211yescharacteristic, complemented
56#90974C2211yescharacteristic, complemented
57#90968C2211yescharacteristic
58#90968C2211yescharacteristic
59#90965C2211yescharacteristic
60#81381—51nomaximal, Hall
61#65884—31no—
62#65875—31no—
63C5×C8×D4—31no—
64#65405—31no—
65#65403—31no—
66#65402—31no—
67C2×#3953—31no—
68#65136—31no—
69#65134—31no—
70#65026D311yescharacteristic, complemented
71#65022—31no—
72#65020—31no—
73#65010—31no—
74#64986—31no—
75C4×#677—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×Dic30C2311yescharacteristic
85C2×C5×#67D411yescharacteristic
86C2×C4×C5×D3C2311yescharacteristic
87C2×C3×C22⋊D5—21no—
88C2×C3×D20C2311yescharacteristic
89C2×#1202—21no—
90C2×#1200—21no—
91C2×D3×Dic5—21no—
92D3×D20—22no—
93D3×D20—41no—
94C2×C3×C5×C8C2311yescharacteristic
95C2×C3×C5×C8C2311yescharacteristic
96#6719—21no—
97C4⋊Dic15C2311yescharacteristic
98#6712—21no—
99Dic60—41no—
100#6706—22no—
101C5×#217D411yescharacteristic
102C5×(C2×D3)⋊C4D411yescharacteristic
103C5×Dic3⋊C4D411yescharacteristic
104C4×C5×Dic3C2311yescharacteristic
105C2×C5×C3⋊C8—41no—
106C2×C5×C3⋊C8C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C5×D3×C8—41no—
109C3×C22⋊Dic5—21no—
110C3×#685—21no—
111C3×C4⋊Dic5C2311yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×C4⋊Dic5C2311yescharacteristic
114C3×C4×Dic5—21no—
115Dic3⋊Dic5—21no—
116#6669—21no—
117#6669—21no—
118#6668—21no—
119#6668—21no—
120#6668—21no—
121#6667—21no—
122(C2×D3)⋊Dic5—21no—
123(C2×D3)⋊Dic5—21no—
124#6665—21no—
125#6665—21no—
126Dic3×Dic5—21no—
127#6657—41no—
128#5612—51no—
129#5529—51no—
130C3×#482—51no—
131#5041—51no—
132#5002—51no—
133#4891—51no—
134#4887—51no—
135#4862—51no—
136#4852—51no—
137#4776—51no—
138D3×#102—51no—
139#4768—51no—
140#4767—51no—
141#4733—51no—
142#67⋊C8D511yescharacteristic, complemented
143C2×#709—31no—
144C22×D20—31no—
145C22×C5×C8—31no—
146C22×C5×C8—31no—
147C4×C5×D4—31no—
148#4083—61no—
149#4081—61no—
150#4076C2×D311yescharacteristic
151#4072C2×D311yescharacteristic, complemented
152C2×C4⋊Dic5—31no—
153#4070—31no—
154#4070—31no—
155#4070—31no—
156C2×Dic20—31no—
157C2×#677—31no—
158C2×#677—31no—
159#4040—61no—
160#4035—61no—
161#4030—61no—
162D5×C22⋊C4—61no—
163#4025—61no—
164#4023—61no—
165#4021—31no—
166C4×D20—31no—
167#4016—31no—
168C4×Dic10—31no—
169C5×C4⋊C8—31no—
170C5×C22⋊C8—31no—
171C5×C22⋊C8C2×D311yescharacteristic, complemented
172C4×C5×C8—31no—
173#3953—31no—
174#3953—31no—
175#3953—31no—
176#3953—31no—
177#3953C2×D311yescharacteristic
178#3953C2×D311yescharacteristic
179#3950C2×D311yescharacteristic, complemented
180#3949—31no—
181#3949C2×D311yescharacteristic, complemented
182#3948—31no—
183#3948—31no—
184#3948—31no—
185#3948—31no—
186#3296—151noSylow
187C23×C3×C5C2×D411yescharacteristic
188C22×D15—21no—
189C22×C5×D3C2×D411yescharacteristic
190C22×C3×D5—21no—
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—
207Dic30—21no—
208Dic30—21no—
209C5×#67—22no—
210C2×C5×Dic3C2×D411yescharacteristic
211C2×C5×Dic3C2×D411yescharacteristic
212C2×C5×Dic3C2×D411yescharacteristic
213C4×C5×D3—21no—
214C4×C5×D3—21no—
215C3×C22⋊D5—81no—
216C2×C3×Dic5—21no—
217C2×C3×Dic5—21no—
218C2×C3×Dic5—21no—
219C3×D20—21no—
220C3×D20—21no—
221#1202—42no—
222#1200—81no—
223D3×Dic5—42no—
224C3×C5×C8—21no—
225C3×C5×C8—21no—
226C5×C3⋊C8—21no—
227C5×C3⋊C8—21no—
228C2×D3×D4—51no—
229C2×#235—51no—
230C3×#121—51no—
231C3×#117—51no—
232#938—101no—
233#937—101no—
234#936—51no—
235C2×#214—51no—
236C4×#67C2×D511yescharacteristic
237#924—51no—
238C22×C3⋊C8C2×D511yescharacteristic, complemented
239C2×Dic12—51no—
240C2×#204—51no—
241C2×D3×C8C2×D511yescharacteristic
242#897—51no—
243#897—51no—
244#893—51no—
245D3×C4⋊C4—51no—
246#890—51no—
247#887—51no—
248#883—101no—
249#883—101no—
250D3×C22⋊C4—101no—
251#879—101no—
252#872—101no—
253#870—101no—
254C3×#107—51no—
255C3×#106—51no—
256C3×#102—51no—
257C3×#102—51no—
258C3×C22⋊C8C2×D511yescharacteristic, complemented
259#832—51no—
260#821—51no—
261(C2×D3)⋊C8C2×D511yescharacteristic
262#816—51no—
263Dic3⋊C8C2×D511yescharacteristic, complemented
264C8×Dic3C2×D511yescharacteristic, complemented
265#810—51no—
266#810—51no—
267#810—51no—
268#809—51no—
269#809—51no—
270#808—51no—
271C23×D5—61no—
272C2×C5×D4—31no—
273C22×C4×C5—31no—
274C22×C4×C5C22×D311yescharacteristic
275C2×C22⋊D5—21no—
276C2×C22⋊D5—61no—
277C22×Dic5—61no—
278#709—62no—
279#709—121no—
280C2×D20—31no—
281C2×D20—62no—
282C2×D20—61no—
283C2×D20—121no—
284C2×D20C22×D311yescharacteristic
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×Dic10—31no—
288C2×Dic10—31no—
289C2×C5×C8—31no—
290C2×C5×C8—31no—
291C2×C5×C8—121no—
292C2×C5×C8—121no—
293C2×C5×C8C22×D311yescharacteristic
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4—31no—
296C5×C22⋊C4—31no—
297C5×C22⋊C4—31no—
298C42×C5—31no—
299C22⋊Dic5—21no—
300C22⋊Dic5—61no—
301C22⋊Dic5—61no—
302C22⋊Dic5—61no—
303#685—21no—
304#685—61no—
305#685—61no—
306#685—61no—
307C4⋊Dic5—31no—
308C4⋊Dic5—61no—
309C4⋊Dic5C22×D311yescharacteristic
310C4⋊Dic5C22×D311yescharacteristic
311C4⋊Dic5C22×D311yescharacteristic
312#683—61no—
313#683—61no—
314#683—61no—
315#683—61no—
316#683—61no—
317#683—61no—
318C4×Dic5—21no—
319C4×Dic5—61no—
320Dic20—121no—
321#677—62no—
322#677—121no—
323#552—151no—
324#546—151no—
325#488—151no—
326#483—151no—
327#482—51no—
328#478—151no—
329#467—151no—
330#465—151no—
331#464—151no—
332#452—151no—
333#450—151no—
334C4×SD16—151no—
335C8×D4—31no—
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—21no—
346C2×C5×D3—21no—
347C2×C5×D3#13512yes—
348C2×C3×D5—41no—
349C2×C3×D5—41no—
350C2×C3×D5—41no—
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—41no—
359C3×Dic5—41no—
360C3×Dic5—41no—
361C5×Dic3—21no—
362C5×Dic3—21no—
363C5×Dic3—21no—
364C23×D3—101no—
365C2×C3×D4—51no—
366C2×C3×D4—101no—
367C22×C3×C4C22×D511yescharacteristic
368C2×#67—101no—
369C2×#67—101no—
370C2×#67D2011yescharacteristic
371D3×D4—102no—
372D3×D4—201no—
373#235—102no—
374#235—201no—
375C2×D12—51no—
376C2×C4×D3—101no—
377C2×C4×D3—101no—
378C2×C4×D3—101no—
379C2×C4×D3C22×D511yescharacteristic
380C2×Dic6—51no—
381C2×Dic6—51no—
382C2×C3×C8C22×D511yescharacteristic
383C2×C3×C8C22×D511yescharacteristic
384C3×C4⋊C4—51no—
385C3×C4⋊C4—51no—
386C3×C4⋊C4—51no—
387C3×C22⋊C4—101no—
388C3×C22⋊C4—101no—
389C3×C42—101no—
390#217—101no—
391#217—101no—
392#217—101no—
393#217D2011yescharacteristic
394#214—201no—
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4D2011yescharacteristic
399C4⋊Dic3—51no—
400C4⋊Dic3—101no—
401C4⋊Dic3—101no—
402C4⋊Dic3—101no—
403Dic3⋊C4—101no—
404Dic3⋊C4—101no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4D2011yescharacteristic
408C4×Dic3—101no—
409C4×Dic3C22×D511yescharacteristic
410C2×C3⋊C8—41no—
411C2×C3⋊C8C22×D511yescharacteristic
412C2×C3⋊C8C22×D511yescharacteristic
413Dic12—201no—
414#204—102no—
415D3×C8—41no—
416C23×C5—31no—
417C23×C5D3×D411yescharacteristic
418C22×D5—21no—
419C22×D5—61no—
420C22×D5—122no—
421C22×D5—122no—
422C22×D5—241no—
423C5×D4—62no—
424C2×C4×C5—21no—
425C2×C4×C5—21no—
426C2×C4×C5—31no—
427C2×C4×C5—31no—
428C2×C4×C5—31no—
429C2×C4×C5—61no—
430C2×C4×C5—61no—
431C2×C4×C5D3×D411yescharacteristic
432C2×C4×C5C23×D311yescharacteristic
433C22⋊D5—81no—
434C22⋊D5—122no—
435C2×Dic5—21no—
436C2×Dic5—21no—
437C2×Dic5—21no—
438C2×Dic5—61no—
439C2×Dic5—61no—
440C2×Dic5—61no—
441C2×Dic5—122no—
442D20—21no—
443D20—21no—
444D20—32no—
445D20—61no—
446D20—122no—
447C4×D5—122no—
448C4×D5—241no—
449Dic10—61no—
450Dic10—61no—
451Dic10—61no—
452Dic10—61no—
453C5×C8—21no—
454C5×C8—21no—
455C5×C8—61no—
456C5×C8—61no—
457C2×#41—151no—
458C22×D4—151no—
459C2×Q16—151no—
460C2×SD16—151no—
461C2×SD16—151no—
462C22×C8—31no—
463C22×C8—31no—
464#126—301no—
465#125—151no—
466#125—301no—
467#124—151no—
468#123—301no—
469#123—301no—
470C22⋊Q8—151no—
471C22⋊Q8—151no—
472C22⋊Q8—151no—
473#121—51no—
474#121—301no—
475#120—301no—
476C4×Q8—151no—
477C4×D4—31no—
478C4×D4—151no—
479#117—51no—
480#117—301no—
481C2×C4⋊C4—151no—
482C2×C22⋊C4—301no—
483#107—51no—
484#106—51no—
485#106—151no—
486C4⋊C8—31no—
487#103—151no—
488#103—151no—
489#103—151no—
490#103—151no—
491#102—51no—
492#102—51no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102—151no—
497C22⋊C8—31no—
498C22⋊C8D3×D511yescharacteristic, complemented
499C4×C8—31no—
500C2×C3×C5—41no—
501C2×C3×C5#54611yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—42no—
505C3×D5—81no—
506C5×D3—22no—
507C23×C3—101no—
508C23×C3C2×D2011yescharacteristic
509C22×D3—101no—
510C22×D3—202no—
511C22×D3—202no—
512C22×D3—401no—
513C22×D3C2×D2011yescharacteristic
514C3×D4—101no—
515C3×D4—101no—
516C3×D4—401no—
517C2×C3×C4—21no—
518C2×C3×C4—21no—
519C2×C3×C4—101no—
520C2×C3×C4—101no—
521C2×C3×C4—101no—
522C2×C3×C4C2×D2011yescharacteristic
523C2×C3×C4C23×D511yescharacteristic
524#67—22no—
525#67—202no—
526#67—202no—
527C2×Dic3—101no—
528C2×Dic3—101no—
529C2×Dic3—101no—
530C2×Dic3C2×D2011yescharacteristic
531C2×Dic3C2×D2011yescharacteristic
532C2×Dic3C2×D2011yescharacteristic
533D12—52no—
534D12—101no—
535C4×D3—21no—
536C4×D3—21no—
537C4×D3—202no—
538C4×D3—202no—
539C4×D3—401no—
540Dic6—101no—
541Dic6—101no—
542Dic6—101no—
543Dic6—101no—
544C3×C8—21no—
545C3×C8—21no—
546C3⋊C8—21no—
547C3⋊C8—21no—
548C22×C5—21no—
549C22×C5—21no—
550C22×C5—21no—
551C22×C5—32no—
552C22×C5—61no—
553C22×C5—61no—
554C22×C5C2×D3×D411yescharacteristic
555C2×D5—41no—
556C2×D5—41no—
557C2×D5—41no—
558C2×D5—62no—
559C2×D5—121no—
560C2×D5—121no—
561C2×D5—244no—
562C4×C5—21no—
563C4×C5—61no—
564C4×C5—61no—
565C4×C5—61no—
566C4×C5D3×#4111yescharacteristic
567C4×C5#100911yescharacteristic
568Dic5—41no—
569Dic5—41no—
570Dic5—41no—
571Dic5—121no—
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—302no—
576#41—601no—
577C2×Q8—151no—
578C2×Q8—151no—
579C2×D4—31no—
580C2×D4—51no—
581C2×D4—101no—
582C2×D4—151no—
583C2×D4—301no—
584C2×D4—302no—
585C2×D4—301no—
586C2×D4—601no—
587C22×C4—31no—
588C22×C4—301no—
589C22×C4—301no—
590C22×C4—301no—
591C22×C4C2×D3×D511yescharacteristic
592Q16—601no—
593SD16—302no—
594SD16—601no—
595C2×C8—31no—
596C2×C8—31no—
597C2×C8—121no—
598C2×C8—121no—
599C2×C8C2×D3×D511yescharacteristic
600C2×C8C2×D3×D511yescharacteristic
601C4⋊C4—31no—
602C4⋊C4—51no—
603C4⋊C4—51no—
604C4⋊C4—51no—
605C4⋊C4—151no—
606C4⋊C4—301no—
607C4⋊C4—301no—
608C4⋊C4—301no—
609C4⋊C4—301no—
610C4⋊C4—301no—
611C4⋊C4—301no—
612C4⋊C4—301no—
613C22⋊C4—31no—
614C22⋊C4—31no—
615C22⋊C4—101no—
616C22⋊C4—101no—
617C22⋊C4—301no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—31no—
624C42—101no—
625C42—301no—
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—201no—
631C22×C3—201no—
632C22×C3—201no—
633C22×C3C22×D2011yescharacteristic
634C2×D3—21no—
635C2×D3—21no—
636C2×D3—102no—
637C2×D3—201no—
638C2×D3—201no—
639C2×D3—404no—
640C2×D3#405012yes—
641C3×C4—21no—
642C3×C4—201no—
643C3×C4—201no—
644C3×C4—201no—
645C3×C4#414411yescharacteristic
646C3×C4D5×#4111yescharacteristic
647Dic3—21no—
648Dic3—21no—
649Dic3—21no—
650Dic3—201no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—41no—
654C2×C5—62no—
655C2×C5#565411yescharacteristic
656C2×C5D3×#13511yescharacteristic
657C2×C5#577511yescharacteristic
658D5—81no—
659D5—122no—
660C23—31no—
661C23—101no—
662C23—301no—
663C23—602no—
664C23—602no—
665C23—1201no—
666C23D3×D2011yescharacteristic
667Q8—301no—
668Q8—301no—
669Q8—301no—
670Q8—301no—
671D4—62no—
672D4—101no—
673D4—101no—
674D4—152no—
675D4—301no—
676D4—401no—
677D4—602no—
678D4—602no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—101no—
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×C4D3×D2011yescharacteristic
696C2×C4C22×D3×D511yescharacteristic
697C8—21no—
698C8—21no—
699C8—61no—
700C8—61no—
701C2×C3—41no—
702C2×C3—401no—
703C2×C3#6588811yescharacteristic
704C2×C3C2×#405011yescharacteristic
705C2×C3#6608511yescharacteristic
706D3—22no—
707D3—202no—
708C5#8138111yescharacteristic, complemented, Sylow
709C22—21no—
710C22—21no—
711C22—21no—
712C22—32no—
713C22—61no—
714C22—61no—
715C22—201no—
716C22—201no—
717C22—201no—
718C22—302no—
719C22—601no—
720C22—601no—
721C22—1204no—
722C22C2×D3×D2011yescharacteristic
723C4—21no—
724C4—61no—
725C4—61no—
726C4—61no—
727C4—201no—
728C4—201no—
729C4—201no—
730C4—601no—
731C4—601no—
732C4—601no—
733C4#9202411yescharacteristic
734C4#9202711yescharacteristic
735C3#1061117111yescharacteristic, complemented, Sylow
736C2—41no—
737C2—62no—
738C2—401no—
739C2—602no—
740C2#1175327111yescharacteristic
741C2D3×#405011yescharacteristic
742C2#1175403011yescharacteristic
subgroupG/H
centerC22C2×D3×D20
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×C22⋊C8C22
socleC22×C3×C5C22×D4
prime radical#11754667C2
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. #11754432C2semidirect
3. #11750834C2semidirect
4. C5×#67⋊C8C2semidirect
5. C3×#65026C2semidirect
6. #11748539C2semidirect
7. #11748411C2semidirect
8. #11748120C2semidirect
9. D3×#3953C2semidirect
10. #11747972C2semidirect
11. #11747970C2semidirect
12. #11747950C2semidirect
13. #11747801C2semidirect
14. #11747789C2semidirect
15. #11747623C2semidirect
19. #91813C22semidirect
20. C2×Dic60C22semidirect
23. C22×C5×C3⋊C8C22semidirect
26. C3×#4072C22semidirect
35. #91381C22semidirect
41. #91340C22semidirect
43. C3×C5×C22⋊C8C22semidirect
45. #91100C22semidirect
47. C5×Dic3⋊C8C22semidirect
48. C5×C8×Dic3C22semidirect
51. C3×#3950C22semidirect
52. C3×#3949C22semidirect
53. #90987C22semidirect
54. #90974C22semidirect
55. #90974C22semidirect
56. #90974C22semidirect
70. #65026D3semidirect
142. #67⋊C8D5semidirect
151. #4072C2×D3semidirect
171. C5×C22⋊C8C2×D3semidirect
179. #3950C2×D3semidirect
181. #3949C2×D3semidirect
238. C22×C3⋊C8C2×D5semidirect
258. C3×C22⋊C8C2×D5semidirect
263. Dic3⋊C8C2×D5semidirect
264. C8×Dic3C2×D5semidirect
498. C22⋊C8D3×D5semidirect
626. C3×C5#3296semidirect
708. C5#81381semidirect
735. C3#10611171semidirect

Maximal subgroups

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

subgroupindex
#117546672
#117544322
#117508342
C5×#67⋊C82
C3×#650262
#117485392
#117484112
#117481202
D3×#39532
#117479722
#117479702
#117479502
#117478012
#117477892
#117476232
#106111713
#813815