Finite Group Databasebeta

← #14458732

Subgroups — #14458732

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#11754382C211yesmaximal, characteristic
2#11754201C211yesmaximal, characteristic, complemented
3#11750832C211yesmaximal, characteristic, complemented
4C5×#67⋊C8C211yesmaximal, characteristic, complemented
5C3×#65010C211yesmaximal, characteristic, complemented
6#11748560C211yesmaximal, characteristic, complemented
7C2×#90968C211yesmaximal, characteristic, complemented
8#11748166C211yesmaximal, characteristic, complemented
9#11747988C211yesmaximal, characteristic, complemented
10#11747914C211yesmaximal, characteristic, complemented
11#11747872C211yesmaximal, characteristic, complemented
12#11747797C211yesmaximal, characteristic, complemented
13#11747789C211yesmaximal, characteristic, complemented
14#11747677C211yesmaximal, characteristic, complemented
15#11747643C211yesmaximal, characteristic, complemented
16#10611171—31nomaximal, Hall
17C22×D60C2211yescharacteristic
18C2×#6769C2211yescharacteristic
19#91813C2211yescharacteristic
20C2×#6706C2211yescharacteristic
21C2×#6706C2211yescharacteristic
22C4×C5×#67C2211yescharacteristic
23C22×C5×C3⋊C8C2211yescharacteristic
24C2×C5×D3×C8C2211yescharacteristic, complemented
25C2×C3×C4⋊Dic5C2211yescharacteristic
26C3×#4070C2211yescharacteristic
27#91573—21no—
28#91561—21no—
29#91539—21no—
30#91528—21no—
31#91460C2211yescharacteristic
32#91433—21no—
33#91428C2211yescharacteristic
34#91420—21no—
35#91381C2211yescharacteristic, complemented
36#91374C2211yescharacteristic
37#91365C2211yescharacteristic, complemented
38#91341—21no—
39#91340C2211yescharacteristic, complemented
40#91339—21no—
41#91338C2211yescharacteristic, complemented
42C2×#6662C2211yescharacteristic, complemented
43C3×C5×C22⋊C8C2211yescharacteristic
44#91105C2211yescharacteristic
45#91105C2211yescharacteristic
46C5×(C2×D3)⋊C8C2211yescharacteristic, complemented
47C5×Dic3⋊C8C2211yescharacteristic, complemented
48C5×C8×Dic3C2211yescharacteristic, complemented
49C3×#3949C2211yescharacteristic, complemented
50C3×#3949C2211yescharacteristic, complemented
51C3×#3948C2211yescharacteristic, complemented
52C3×#3948C2211yescharacteristic, complemented
53#90990C2211yescharacteristic, complemented
54#90974C2211yescharacteristic, complemented
55#90971C2211yescharacteristic, complemented
56#90968C2211yescharacteristic
57#90968C2211yescharacteristic
58#90968C2211yescharacteristic
59#90968C2211yescharacteristic
60#81445—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#65026—31no—
71#65022—31no—
72#65020—31no—
73#65010D311yescharacteristic, complemented
74#64986—31no—
75C4×#677—31no—
76C23×D15—21no—
77C22×C3×C4×C5C2311yescharacteristic
78C2×D60—22no—
79C2×D60—21no—
80C2×D60—41no—
81C2×D60C2311yescharacteristic
82C2×D60C2311yescharacteristic
83C2×Dic30C2311yescharacteristic
84C2×C5×#67D411yescharacteristic
85C2×C4×C5×D3C2311yescharacteristic
86C22×C3×Dic5—21no—
87C2×C3×Dic10C2311yescharacteristic
88C2×#1203—21no—
89C2×#1203—21no—
90C2×#1200—21no—
91C2×#1200—21no—
92#6769—22no—
93#6769—41no—
94C2×C3×C5×C8C2311yescharacteristic
95C2×C3×C5×C8C2311yescharacteristic
96#6719—21no—
97C4⋊Dic15C2311yescharacteristic
98#6712—21no—
99#6706—22no—
100#6706—41no—
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×C4⋊Dic5—21no—
111C3×C4⋊Dic5C2311yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×C4⋊Dic5C2311yescharacteristic
114C3×#683—21no—
115#6669—21no—
116#6669—21no—
117#6668—21no—
118#6668—21no—
119#6667—21no—
120#6667—21no—
121#6667—21no—
122#6667—21no—
123(C2×D3)⋊Dic5—21no—
124(C2×D3)⋊Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127#6662—41no—
128#5630—51no—
129#5513—51no—
130C3×#483—51no—
131#5051—51no—
132C2×#809—51no—
133#4871—51no—
134#4866—51no—
135#4864—51no—
136#4852—51no—
137#4808—51no—
138#4804—51no—
139#4800—51no—
140#4798—51no—
141#4731—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#4076—31no—
151#4072—31no—
152C2×C4⋊Dic5C2×D311yescharacteristic
153#4070—31no—
154#4070—31no—
155#4070C2×D311yescharacteristic
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
172C4×C5×C8—31no—
173#3953—31no—
174#3953—31no—
175#3953—31no—
176#3953—31no—
177#3953—31no—
178#3953—31no—
179#3950—31no—
180#3949C2×D311yescharacteristic, complemented
181#3949C2×D311yescharacteristic, complemented
182#3948—31no—
183#3948—31no—
184#3948C2×D311yescharacteristic, complemented
185#3948C2×D311yescharacteristic, complemented
186#3296—151noSylow
187C23×C3×C5C2×D411yescharacteristic
188C22×D15—21no—
189C22×D15—21no—
190C22×D15—42no—
191C22×D15—42no—
192C22×D15—81no—
193C22×C5×D3C2×D411yescharacteristic
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198C2×Dic15—21no—
199C2×Dic15—21no—
200D60—21no—
201D60—21no—
202D60—21no—
203D60—42no—
204D60#4112yes—
205Dic30—21no—
206Dic30—21no—
207C5×#67—22no—
208C2×C5×Dic3C2×D411yescharacteristic
209C2×C5×Dic3C2×D411yescharacteristic
210C2×C5×Dic3C2×D411yescharacteristic
211C4×C5×D3—21no—
212C4×C5×D3—21no—
213C2×C3×Dic5—21no—
214C2×C3×Dic5—21no—
215C2×C3×Dic5—21no—
216C2×C3×Dic5—21no—
217C2×C3×Dic5—42no—
218C3×Dic10—21no—
219C3×Dic10—21no—
220#1203—42no—
221#1203—81no—
222#1200—42no—
223#1200—81no—
224C3×C5×C8—21no—
225C3×C5×C8—21no—
226C5×C3⋊C8—21no—
227C5×C3⋊C8—21no—
228C2×#239—51no—
229C22×D12—51no—
230C3×C22⋊Q8—51no—
231C2×C3×C4⋊C4—51no—
232#947—51no—
233C2×#216—51no—
234#929—101no—
235C4×#67C2×D511yescharacteristic
236#926—101no—
237#924—51no—
238C22×C3⋊C8C2×D511yescharacteristic
239C2×#204—51no—
240C2×#204—51no—
241C2×D3×C8C2×D511yescharacteristic, complemented
242#898—101no—
243#897—51no—
244#895—51no—
245#895—101no—
246#894—101no—
247#893—51no—
248#892—51no—
249#890—51no—
250#889—101no—
251#887—51no—
252#882—101no—
253D3×C22⋊C4—101no—
254C3×#106—51no—
255C3×#106—51no—
256C3×#103—51no—
257C3×#103—51no—
258C3×C22⋊C8C2×D511yescharacteristic
259#835—51no—
260#821—51no—
261#821—51no—
262(C2×D3)⋊C8C2×D511yescharacteristic, complemented
263Dic3⋊C8C2×D511yescharacteristic, complemented
264C8×Dic3C2×D511yescharacteristic, complemented
265#810—51no—
266#809—51no—
267#809—51no—
268#809—51no—
269#809—51no—
270#807—51no—
271C23×D5—61no—
272C2×C5×D4—31no—
273C22×C4×C5—31no—
274C22×C4×C5C22×D311yescharacteristic
275C2×C22⋊D5—61no—
276C2×C22⋊D5—61no—
277C22×Dic5—21no—
278#709—62no—
279#709—121no—
280C2×D20—31no—
281C2×D20—31no—
282C2×D20—62no—
283C2×D20—61no—
284C2×D20—121no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×Dic10—31no—
288C2×Dic10C22×D311yescharacteristic
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—61no—
304#685—61no—
305#685—61no—
306#685—61no—
307C4⋊Dic5—21no—
308C4⋊Dic5—31no—
309C4⋊Dic5C22×D311yescharacteristic
310C4⋊Dic5C22×D311yescharacteristic
311C4⋊Dic5C22×D311yescharacteristic
312#683—21no—
313#683—61no—
314#683—61no—
315#683—61no—
316#683—61no—
317#683—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320Dic20—121no—
321#677—62no—
322#677—121no—
323#552—151no—
324#546—151no—
325#488—151no—
326#483—51no—
327#482—151no—
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#13512yes—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—22no—
343C2×D15—41no—
344C2×D15—41no—
345C2×D15—41no—
346C2×D15—41no—
347C2×D15—41no—
348C2×D15—84no—
349C2×C5×D3—21no—
350C2×C5×D3—21no—
351C2×C5×D3—21no—
352C3×C4×C5—21no—
353C3×C4×C5C2×#4111yescharacteristic
354C3×C4×C5H(5,𝔽2)11yescharacteristic
355Dic15—41no—
356Dic15—41no—
357C3×Dic5—41no—
358C3×Dic5—41no—
359C3×Dic5—41no—
360C3×Dic5—41no—
361C5×Dic3—21no—
362C5×Dic3—21no—
363C5×Dic3—21no—
364C23×D3—101no—
365C2×C3×Q8—51no—
366C22×C3×C4—101no—
367C22×C3×C4C22×D511yescharacteristic
368C2×#67D2011yescharacteristic
369#239—102no—
370#239—201no—
371C2×D12—51no—
372C2×D12—51no—
373C2×D12—102no—
374C2×D12—101no—
375C2×D12—101no—
376C2×D12—101no—
377C2×D12—201no—
378C2×C4×D3—101no—
379C2×C4×D3—101no—
380C2×C4×D3C22×D511yescharacteristic
381C2×Dic6—51no—
382C2×C3×C8C22×D511yescharacteristic
383C2×C3×C8C22×D511yescharacteristic
384C3×C4⋊C4—51no—
385C3×C4⋊C4—51no—
386C3×C4⋊C4—51no—
387C3×C4⋊C4—101no—
388C3×C4⋊C4—101no—
389C3×C22⋊C4—101no—
390#217—101no—
391#217D2011yescharacteristic
392#216—201no—
393(C2×D3)⋊C4—101no—
394(C2×D3)⋊C4—101no—
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399(C2×D3)⋊C4D2011yescharacteristic
400C4⋊Dic3—51no—
401C4⋊Dic3—101no—
402C4⋊Dic3—101no—
403Dic3⋊C4—101no—
404Dic3⋊C4—101no—
405Dic3⋊C4—101no—
406Dic3⋊C4D2011yescharacteristic
407C4×Dic3—101no—
408C4×Dic3—101no—
409C4×Dic3C22×D511yescharacteristic
410C2×C3⋊C8—41no—
411C2×C3⋊C8C22×D511yescharacteristic
412C2×C3⋊C8C22×D511yescharacteristic
413#204—102no—
414#204—201no—
415D3×C8—41no—
416C23×C5—31no—
417C23×C5D3×D411yescharacteristic
418C22×D5—61no—
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—122no—
434C22⋊D5—241no—
435C2×Dic5—21no—
436C2×Dic5—21no—
437C2×Dic5—21no—
438C2×Dic5—21no—
439C2×Dic5—42no—
440C2×Dic5—61no—
441C2×Dic5—61no—
442D20—32no—
443D20—61no—
444D20—61no—
445D20—61no—
446D20—122no—
447C4×D5—122no—
448C4×D5—241no—
449Dic10—21no—
450Dic10—21no—
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—51no—
471C22⋊Q8—151no—
472C22⋊Q8—151no—
473#121—151no—
474#121—301no—
475#120—301no—
476C4×Q8—151no—
477C4×D4—31no—
478C4×D4—151no—
479#117—151no—
480#117—301no—
481C2×C4⋊C4—51no—
482C2×C22⋊C4—301no—
483#107—151no—
484#106—51no—
485#106—51no—
486C4⋊C8—31no—
487#103—51no—
488#103—51no—
489#103—151no—
490#103—151no—
491#102—151no—
492#102—151no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102—151no—
497C22⋊C8—31no—
498C22⋊C8D3×D511yescharacteristic
499C4×C8—31no—
500C2×C3×C5—22no—
501C2×C3×C5#54611yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—42no—
505D15—81no—
506C5×D3—41no—
507C23×C3C2×D2011yescharacteristic
508C22×D3—101no—
509C22×D3—101no—
510C22×D3—202no—
511C22×D3—202no—
512C22×D3—401no—
513C22×D3C2×D2011yescharacteristic
514C3×Q8—101no—
515C3×Q8—101no—
516C2×C3×C4—21no—
517C2×C3×C4—21no—
518C2×C3×C4—101no—
519C2×C3×C4—101no—
520C2×C3×C4—101no—
521C2×C3×C4—101no—
522C2×C3×C4—202no—
523C2×C3×C4C2×D2011yescharacteristic
524C2×C3×C4C23×D511yescharacteristic
525#67—22no—
526C2×Dic3—101no—
527C2×Dic3—101no—
528C2×Dic3C2×D2011yescharacteristic
529C2×Dic3C2×D2011yescharacteristic
530C2×Dic3C2×D2011yescharacteristic
531D12—52no—
532D12—101no—
533D12—101no—
534D12—101no—
535D12—202no—
536D12—202no—
537D12—401no—
538C4×D3—21no—
539C4×D3—21no—
540C4×D3—202no—
541C4×D3—401no—
542Dic6—101no—
543Dic6—101no—
544C3×C8—21no—
545C3×C8—21no—
546C3⋊C8—21no—
547C3⋊C8—21no—
548C22×C5—21no—
549C22×C5—21no—
550C22×C5—61no—
551C22×C5—61no—
552C22×C5—61no—
553C22×C5#91612yes—
554C22×C5C2×D3×D411yescharacteristic
555C2×D5—62no—
556C2×D5—121no—
557C2×D5—121no—
558C2×D5—121no—
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—41no—
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—302no—
576#41—601no—
577C2×Q8—51no—
578C2×Q8—151no—
579C2×D4—31no—
580C2×D4—151no—
581C2×D4—151no—
582C2×D4—302no—
583C2×D4—301no—
584C2×D4—301no—
585C2×D4—301no—
586C2×D4—601no—
587C22×C4—31no—
588C22×C4—101no—
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—101no—
606C4⋊C4—101no—
607C4⋊C4—151no—
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—301no—
617C22⋊C4—301no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—31no—
624C42—301no—
625C42—301no—
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3#405012yes—
630C22×C3C22×D2011yescharacteristic
631C2×D3—21no—
632C2×D3—21no—
633C2×D3—21no—
634C2×D3—102no—
635C2×D3—201no—
636C2×D3—201no—
637C2×D3—201no—
638C2×D3—201no—
639C2×D3—201no—
640C2×D3—404no—
641C3×C4—21no—
642C3×C4—201no—
643C3×C4—201no—
644C3×C4—201no—
645C3×C4—201no—
646C3×C4#414411yescharacteristic
647C3×C4D5×#4111yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—22no—
654C2×C5—121no—
655C2×C5#565411yescharacteristic
656C2×C5C2×#91611yescharacteristic
657C2×C5#577811yescharacteristic
658D5—122no—
659D5—241no—
660C23—31no—
661C23—301no—
662C23—301no—
663C23—602no—
664C23—602no—
665C23—1201no—
666C23D3×D2011yescharacteristic
667Q8—101no—
668Q8—101no—
669Q8—301no—
670Q8—301no—
671D4—62no—
672D4—152no—
673D4—301no—
674D4—301no—
675D4—301no—
676D4—602no—
677D4—602no—
678D4—1201no—
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—101no—
690C2×C4—202no—
691C2×C4—301no—
692C2×C4—301no—
693C2×C4—602no—
694C2×C4—1201no—
695C2×C4D3×D2011yescharacteristic
696C2×C4C22×D3×D511yescharacteristic
697C8—21no—
698C8—21no—
699C8—61no—
700C8—61no—
701C2×C3—22no—
702C2×C3#6588811yescharacteristic
703C2×C3C2×#405011yescharacteristic
704C2×C3#6608511yescharacteristic
705D3—41no—
706D3—202no—
707D3—401no—
708C5#8144511yescharacteristic, complemented, Sylow
709C22—21no—
710C22—21no—
711C22—61no—
712C22—61no—
713C22—61no—
714C22—302no—
715C22—601no—
716C22—601no—
717C22—601no—
718C22—601no—
719C22—601no—
720C22—1204no—
721C22#9127212yes—
722C22C2×D3×D2011yescharacteristic
723C4—21no—
724C4—61no—
725C4—61no—
726C4—61no—
727C4—201no—
728C4—201no—
729C4—201no—
730C4—201no—
731C4—601no—
732C4—601no—
733C4#9202411yescharacteristic
734C4#9202711yescharacteristic
735C3#1061117111yescharacteristic, complemented, Sylow
736C2—22no—
737C2—121no—
738C2—602no—
739C2—1201no—
740C2#1175327111yescharacteristic
741C2C2×#9127211yescharacteristic
742C2#1175403211yescharacteristic
subgroupG/H
centerC22C2×D3×D20
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×C22⋊C8C22
socleC22×C3×C5C22×D4
prime radical#11754382C2
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. #11754201C2semidirect
3. #11750832C2semidirect
4. C5×#67⋊C8C2semidirect
5. C3×#65010C2semidirect
6. #11748560C2semidirect
7. C2×#90968C2semidirect
8. #11748166C2semidirect
9. #11747988C2semidirect
10. #11747914C2semidirect
11. #11747872C2semidirect
12. #11747797C2semidirect
13. #11747789C2semidirect
14. #11747677C2semidirect
15. #11747643C2semidirect
24. C2×C5×D3×C8C22semidirect
35. #91381C22semidirect
37. #91365C22semidirect
39. #91340C22semidirect
41. #91338C22semidirect
42. C2×#6662C22semidirect
46. C5×(C2×D3)⋊C8C22semidirect
47. C5×Dic3⋊C8C22semidirect
48. C5×C8×Dic3C22semidirect
49. C3×#3949C22semidirect
50. C3×#3949C22semidirect
51. C3×#3948C22semidirect
52. C3×#3948C22semidirect
53. #90990C22semidirect
54. #90974C22semidirect
55. #90971C22semidirect
73. #65010D3semidirect
142. #67⋊C8D5semidirect
180. #3949C2×D3semidirect
181. #3949C2×D3semidirect
184. #3948C2×D3semidirect
185. #3948C2×D3semidirect
241. C2×D3×C8C2×D5semidirect
262. (C2×D3)⋊C8C2×D5semidirect
263. Dic3⋊C8C2×D5semidirect
264. C8×Dic3C2×D5semidirect
626. C3×C5#3296semidirect
708. C5#81445semidirect
735. C3#10611171semidirect

Maximal subgroups

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

subgroupindex
#117543822
#117542012
#117508322
C5×#67⋊C82
C3×#650102
#117485602
C2×#909682
#117481662
#117479882
#117479142
#117478722
#117477972
#117477892
#117476772
#117476432
#106111713
#814455