Finite Group Databasebeta

← #14435686

Subgroups — #14435686

Order 1920.

812 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#5582C211yesmaximal, characteristic, complemented
2#11752727C211yesmaximal, characteristic, complemented
3#11751127C211yesmaximal, characteristic, complemented
4C3×C4×#688C211yesmaximal, characteristic, complemented
5#11749398C211yesmaximal, characteristic, complemented
6#11749236C211yesmaximal, characteristic, complemented
7#11749228C211yesmaximal, characteristic, complemented
8#11749214C211yesmaximal, characteristic, complemented
9#11747482C211yesmaximal, characteristic
10#11747248C211yesmaximal, characteristic, complemented
11#11747245C211yesmaximal, characteristic, complemented
12#11747209C211yesmaximal, characteristic, complemented
13C4×#6654C211yesmaximal, characteristic, complemented
14#11747021C211yesmaximal, characteristic, complemented
15#11746877C211yesmaximal, characteristic, complemented
16#10615191—31nomaximal, Hall
17C2×D3×D20C2211yescharacteristic
18C3×C4×C5×Q8C2211yescharacteristic, complemented
19C2×#6717C2211yescharacteristic
20C4×D60C2211yescharacteristic
21C5×#947C2211yescharacteristic, complemented
22C5×#946C2211yescharacteristic
23C5×#896—21no—
24C5×#895C2211yescharacteristic
25C5×#894—21no—
26C5×#888C2211yescharacteristic, complemented
27C5×#876—21no—
28C5×#875—21no—
29C4×C5×D12C2211yescharacteristic, complemented
30C5×#872C2211yescharacteristic
31C2×C3×#688C2211yescharacteristic
32C3×C4×D20C2211yescharacteristic
33#91473—21no—
34D5×(C2×D3)⋊C4—21no—
35#91444—21no—
36#91428C2211yescharacteristic
37Dic3×D20C2211yescharacteristic
38#91396—21no—
39#91338C2211yescharacteristic
40C2×#6654C2211yescharacteristic
41C2×#6652C2211yescharacteristic
42#91119C2211yescharacteristic, complemented
43#91093C2211yescharacteristic
44#91091C2211yescharacteristic, complemented
45#91087C2211yescharacteristic, complemented
46C3×#3967C2211yescharacteristic, complemented
47C3×#3941C2211yescharacteristic
48C3×#3940C2211yescharacteristic, complemented
49C3×C4×#168C2211yescharacteristic, complemented
50#90988C2211yescharacteristic, complemented
51#90986C2211yescharacteristic, complemented
52Dic3⋊#168C2211yescharacteristic, complemented
53Dic3⋊#168C2211yescharacteristic, complemented
54#90969C2211yescharacteristic
55#90967C2211yescharacteristic, complemented
56#90966C2211yescharacteristic, complemented
57#90964C2211yescharacteristic
58(C2×D3)⋊#168C2211yescharacteristic
59(C2×D3)⋊#168C2211yescharacteristic
60#79696—51nomaximal, Hall
61C5×#542—31no—
62#65855—31no—
63#65376—31no—
64#65373—31no—
65#65346—31no—
66#65346—31no—
67#65335—31no—
68#65334—31no—
69#65325—31no—
70#65324—31no—
71#65315—31no—
72C4×#688D311yescharacteristic, complemented
73#65303—31no—
74C4×#686—31no—
75#65289—31no—
76C22×D3×D5—21no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×D60C2311yescharacteristic
79C2×C4×D15—21no—
80C2×C5×D12—21no—
81C2×C5×D12C2311yescharacteristic
82C2×C4×C5×D3—21no—
83C2×C4×C5×D3C2311yescharacteristic
84C2×C5×Dic6—21no—
85C2×C3×D20C2311yescharacteristic
86C2×C3×C4×D5—21no—
87C2×#1202—21no—
88C2×#1200—21no—
89C2×D5×Dic3—21no—
90D3×D20—22no—
91D3×D20—22no—
92C3×C5×C4⋊C4—21no—
93C3×C5×C4⋊C4C2311yescharacteristic
94C3×C42×C5—21no—
95C3×C42×C5C2311yescharacteristic
96#6717—22no—
97#6714—21no—
98C4⋊Dic15C2311yescharacteristic
99C2×C3⋊#168C2311yescharacteristic
100C2×C3⋊#168C2311yescharacteristic
101C5×(C2×D3)⋊C4—21no—
102C5×(C2×D3)⋊C4—21no—
103C5×(C2×D3)⋊C4—21no—
104C5×(C2×D3)⋊C4—21no—
105C5×(C2×D3)⋊C4—21no—
106C5×(C2×D3)⋊C4D411yescharacteristic
107C5×(C2×D3)⋊C4D411yescharacteristic
108C5×C4⋊Dic3C2311yescharacteristic
109C5×Dic3⋊C4—21no—
110C5×Dic3⋊C4—21no—
111C5×Dic3⋊C4D411yescharacteristic
112C5×Dic3⋊C4D411yescharacteristic
113C4×C5×Dic3C2311yescharacteristic
114C3×#688—22no—
115C3×#685—21no—
116C3×C4⋊Dic5C2311yescharacteristic
117C2×C3×#168C2311yescharacteristic
118C2×C3×#168C2311yescharacteristic
119#6667—21no—
120(C2×D3)⋊Dic5—21no—
121#6665—21no—
122Dic3×Dic5—21no—
123#6654—22no—
124#6652—22no—
125#5582D511yescharacteristic, complemented
126#5545—51no—
127C3×C4×SD16—51no—
128#5169—51no—
129#5165—51no—
130#5026—51no—
131#5014—51no—
132#4870—51no—
133#4866—51no—
134#4819—51no—
135#4814—51no—
136#4773—51no—
137#4759—51no—
138C4×D24—51no—
139#4690—51no—
140C22×D20—31no—
141C5×C4⋊Q8—31no—
142C5×#126—61no—
143C5×#124—31no—
144C5×#124—61no—
145C5×#123—61no—
146C5×C22⋊Q8—31no—
147C5×C22⋊Q8—61no—
148C5×#121—31no—
149C4×C5×Q8C2×D311yescharacteristic, complemented
150C4×C5×D4—31no—
151C5×#117—31no—
152C2×#688—31no—
153C2×#688C2×D311yescharacteristic
154C2×#686—31no—
155C2×#686—31no—
156#4072—31no—
157#4039—61no—
158#4039—61no—
159D5×C22⋊C4—61no—
160D5×C22⋊C4—61no—
161C4×D20—31no—
162C4×D20—31no—
163C4×D20—31no—
164C4×D20C2×D311yescharacteristic
165#3967—31no—
166#3967C2×D311yescharacteristic, complemented
167#3964—31no—
168#3964—31no—
169C22⋊#168—31no—
170C22⋊#168—31no—
171#3941—31no—
172#3941—31no—
173#3941—31no—
174#3941C2×D311yescharacteristic
175#3940—31no—
176#3940C2×D311yescharacteristic, complemented
177#3939—31no—
178#3939—31no—
179C4⋊#168—31no—
180C4⋊#168—31no—
181#3935—31no—
182C4×#168C2×D311yescharacteristic, complemented
183#3118—151noSylow
184C22×D15—21no—
185C22×C5×D3—21no—
186C22×C5×D3C2×D411yescharacteristic
187C22×C3×D5—21no—
188C2×D3×D5—24no—
189C2×D3×D5—81no—
190C2×D3×D5—81no—
191C3×C5×Q8—21no—
192C3×C5×Q8—21no—
193C2×C3×C4×C5—21no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5C2×D411yescharacteristic
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198C2×Dic15—21no—
199D60—21no—
200D60#4112yes—
201C4×D15—81no—
202C2×C5×Dic3—21no—
203C2×C5×Dic3C2×D411yescharacteristic
204C2×C5×Dic3C2×D411yescharacteristic
205C2×C5×Dic3C2×D411yescharacteristic
206C5×D12—21no—
207C5×D12—21no—
208C5×D12—81no—
209C4×C5×D3—21no—
210C4×C5×D3—21no—
211C4×C5×D3—81no—
212C5×Dic6—81no—
213C2×C3×Dic5—21no—
214C3×D20—21no—
215C3×D20#4112yes—
216C3×C4×D5—81no—
217#1202—24no—
218#1200—81no—
219D5×Dic3—81no—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C3×#168—21no—
223C3×#168—21no—
224C2×D3×D4—51no—
225C2×C3×SD16—51no—
226C3×C4×Q8C2×D511yescharacteristic, complemented
227C3×C4×D4—51no—
228#947C2×D511yescharacteristic, complemented
229#946C2×D511yescharacteristic
230C2×#215—51no—
231D4×Dic3—51no—
232C2×#213—51no—
233C4×#67—101no—
234C2×(C2×D3)⋊C4—101no—
235C2×D24—51no—
236#896—21no—
237#895C2×D511yescharacteristic
238#894—21no—
239#893—51no—
240#892—51no—
241#888C2×D511yescharacteristic, complemented
242#67⋊C4—101no—
243D3×C22⋊C4—101no—
244#876—21no—
245#875—21no—
246C4×D12—51no—
247C4×D12C2×D511yescharacteristic, complemented
248#872C2×D511yescharacteristic
249C3×#106—51no—
250C3×#103—51no—
251C3×#102—51no—
252C3×C4×C8—51no—
253#835—51no—
254#832—51no—
255#821—51no—
256#821—51no—
257(C2×D3)⋊C8—51no—
258(C2×D3)⋊C8—51no—
259#818—51no—
260Dic3⋊C8—51no—
261Dic3⋊C8—51no—
262#809—51no—
263#809—51no—
264#808—51no—
265#807—51no—
266#803—51no—
267C23×D5—61no—
268C2×C5×Q8—61no—
269C2×C5×Q8C22×D311yescharacteristic
270C2×C5×D4—31no—
271C2×C5×D4—61no—
272C22×C4×C5—31no—
273C22×C4×C5—61no—
274C2×D20—31no—
275C2×D20—62no—
276C2×D20—61no—
277C2×D20—62no—
278C2×D20C22×D311yescharacteristic
279C2×C4×D5—21no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×C4×D5—61no—
283C5×C4⋊C4—21no—
284C5×C4⋊C4—31no—
285C5×C4⋊C4—31no—
286C5×C4⋊C4—31no—
287C5×C4⋊C4—61no—
288C5×C4⋊C4—61no—
289C5×C4⋊C4C22×D311yescharacteristic
290C5×C22⋊C4—31no—
291C5×C22⋊C4—31no—
292C5×C22⋊C4—61no—
293C5×C22⋊C4—61no—
294C5×C22⋊C4—61no—
295C5×C22⋊C4—61no—
296C5×C22⋊C4—61no—
297C42×C5—21no—
298C42×C5—31no—
299C42×C5C22×D311yescharacteristic
300C22⋊Dic5—61no—
301#688—22no—
302#688—62no—
303#686—62no—
304#686—62no—
305#685—21no—
306#685—61no—
307#685—61no—
308#685—61no—
309C4⋊Dic5—31no—
310C4⋊Dic5C22×D311yescharacteristic
311C4×Dic5—61no—
312C2×#168—31no—
313C2×#168—31no—
314C2×#168C22×D311yescharacteristic
315C2×#168C22×D311yescharacteristic
316#542—31no—
317#518—151no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—151no—
322#463—151no—
323#463—151no—
324#450—151no—
325#447—151no—
326#442—151no—
327#440—151no—
328C4×SD16—51no—
329C4×D8—151no—
330#433—151no—
331C22×C3×C5C22×D411yescharacteristic
332C2×D15—22no—
333C2×D15—41no—
334C2×D15—41no—
335C2×C5×D3—21no—
336C2×C5×D3—21no—
337C2×C5×D3—21no—
338C2×C5×D3—41no—
339C2×C5×D3—41no—
340C2×C5×D3—41no—
341C2×C3×D5—22no—
342C2×C3×D5—41no—
343C2×C3×D5—41no—
344D3×D5—84no—
345C3×C4×C5—21no—
346C3×C4×C5—21no—
347C3×C4×C5—41no—
348C3×C4×C5—41no—
349C3×C4×C5C2×#4111yescharacteristic
350C3×C4×C5C2×#4111yescharacteristic
351Dic15—41no—
352C3×Dic5—41no—
353C5×Dic3—21no—
354C5×Dic3—21no—
355C5×Dic3—21no—
356C5×Dic3—41no—
357C23×D3—101no—
358C2×C3×Q8C22×D511yescharacteristic
359C2×C3×D4—51no—
360C22×C3×C4—101no—
361C2×#67—101no—
362C22×Dic3—101no—
363D3×D4—102no—
364D3×D4—102no—
365C2×D12—21no—
366C2×D12—51no—
367C2×D12C22×D511yescharacteristic
368C2×C4×D3—21no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×C4×D3C22×D511yescharacteristic
372C2×Dic6—21no—
373C3×SD16—102no—
374C2×C3×C8—51no—
375C2×C3×C8—51no—
376C3×C4⋊C4—21no—
377C3×C4⋊C4—51no—
378C3×C4⋊C4C22×D511yescharacteristic
379C3×C22⋊C4—101no—
380C3×C42—21no—
381C3×C42C22×D511yescharacteristic
382#217—101no—
383#215—102no—
384#213—102no—
385(C2×D3)⋊C4—21no—
386(C2×D3)⋊C4—21no—
387(C2×D3)⋊C4—21no—
388(C2×D3)⋊C4—21no—
389(C2×D3)⋊C4—21no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392(C2×D3)⋊C4—101no—
393(C2×D3)⋊C4C22⋊D511yescharacteristic
394(C2×D3)⋊C4C22⋊D511yescharacteristic
395C4⋊Dic3—51no—
396C4⋊Dic3C22×D511yescharacteristic
397Dic3⋊C4—21no—
398Dic3⋊C4—21no—
399Dic3⋊C4C22⋊D511yescharacteristic
400Dic3⋊C4C22⋊D511yescharacteristic
401C4×Dic3—101no—
402C4×Dic3C22×D511yescharacteristic
403C2×C3⋊C8—51no—
404C2×C3⋊C8—51no—
405D24—102no—
406C23×C5—31no—
407C23×C5—61no—
408C22×D5—21no—
409C22×D5—64no—
410C22×D5—61no—
411C22×D5—241no—
412C22×D5—241no—
413C5×Q8—21no—
414C5×Q8—21no—
415C5×Q8—241no—
416C5×D4—61no—
417C5×D4—61no—
418C5×D4—241no—
419C2×C4×C5—21no—
420C2×C4×C5—21no—
421C2×C4×C5—31no—
422C2×C4×C5—31no—
423C2×C4×C5—31no—
424C2×C4×C5—61no—
425C2×C4×C5—61no—
426C2×C4×C5—61no—
427C2×C4×C5—241no—
428C2×C4×C5D3×D411yescharacteristic
429C2×C4×C5D3×D411yescharacteristic
430C2×C4×C5C23×D311yescharacteristic
431C2×Dic5—21no—
432C2×Dic5—61no—
433D20—21no—
434D20—32no—
435D20—64no—
436D20—61no—
437D20#23512yes—
438C4×D5—81no—
439C4×D5—241no—
440C4×D5—241no—
441C4×D5—241no—
442#168—21no—
443#168—21no—
444#168—61no—
445#168—61no—
446C22×D4—151no—
447C2×SD16—51no—
448C2×SD16—151no—
449C2×D8—151no—
450C2×D8—151no—
451C4⋊Q8—31no—
452#126—61no—
453#124—31no—
454#124—61no—
455#123—61no—
456C22⋊Q8—31no—
457C22⋊Q8—61no—
458#121—31no—
459C4×Q8D3×D511yescharacteristic, complemented
460C4×D4—31no—
461C4×D4—51no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—31no—
468#117—151no—
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—151no—
472#107—151no—
473#106—51no—
474#106—151no—
475C4⋊C8—151no—
476C4⋊C8—151no—
477#103—51no—
478#103—151no—
479#102—51no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—151no—
486C22⋊C8—151no—
487#97—151no—
488C4×C8—51no—
489C2×C3×C5#52511yescharacteristic
490C2×C3×C5#57611yescharacteristic
491C2×C3×C5#57711yescharacteristic
492D15—42no—
493C3×D5—42no—
494C5×D3—41no—
495C5×D3—81no—
496C23×C3—101no—
497C22×D3—21no—
498C22×D3—104no—
499C22×D3—101no—
500C22×D3—401no—
501C22×D3—401no—
502C22×D3C2×C22⋊D511yescharacteristic
503C3×Q8—21no—
504C3×Q8—21no—
505C3×D4—52no—
506C3×D4—101no—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—101no—
510C2×C3×C4—401no—
511C2×C3×C4C2×C22⋊D511yescharacteristic
512C2×C3×C4C2×C22⋊D511yescharacteristic
513C2×C3×C4C23×D511yescharacteristic
514#67—104no—
515C2×Dic3—21no—
516C2×Dic3—101no—
517C2×Dic3—401no—
518C2×Dic3C2×C22⋊D511yescharacteristic
519C2×Dic3C2×C22⋊D511yescharacteristic
520C2×Dic3C2×C22⋊D511yescharacteristic
521D12—21no—
522D12—21no—
523D12—52no—
524D12—81no—
525D12—101no—
526C4×D3—21no—
527C4×D3—21no—
528C4×D3—81no—
529C4×D3—401no—
530C4×D3—401no—
531Dic6—81no—
532C3×C8—101no—
533C3×C8—101no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—61no—
537C22×C5—61no—
538C22×C5—61no—
539C22×C5—121no—
540C22×C5—121no—
541C22×C5—121no—
542C22×C5C2×D3×D411yescharacteristic
543C2×D5—22no—
544C2×D5—41no—
545C2×D5—41no—
546C2×D5—62no—
547C2×D5—121no—
548C2×D5—121no—
549C2×D5—244no—
550C4×C5—21no—
551C4×C5—21no—
552C4×C5—41no—
553C4×C5—41no—
554C4×C5—61no—
555C4×C5—61no—
556C4×C5—61no—
557C4×C5—121no—
558C4×C5C2×#23511yescharacteristic
559C4×C5D3×#4111yescharacteristic
560Dic5—41no—
561Dic5—121no—
562C24—301no—
563C2×Q8—61no—
564C2×Q8C2×D3×D511yescharacteristic
565C2×D4—31no—
566C2×D4—51no—
567C2×D4—61no—
568C2×D4—151no—
569C2×D4—301no—
570C2×D4—302no—
571C2×D4—302no—
572C22×C4—31no—
573C22×C4—61no—
574C22×C4—101no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578SD16—102no—
579SD16—302no—
580D8—302no—
581D8—302no—
582C2×C8—51no—
583C2×C8—51no—
584C2×C8—151no—
585C2×C8—151no—
586C4⋊C4—21no—
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—31no—
590C4⋊C4—51no—
591C4⋊C4—61no—
592C4⋊C4—61no—
593C4⋊C4—151no—
594C4⋊C4C2×D3×D511yescharacteristic
595C22⋊C4—31no—
596C22⋊C4—31no—
597C22⋊C4—61no—
598C22⋊C4—61no—
599C22⋊C4—61no—
600C22⋊C4—61no—
601C22⋊C4—61no—
602C22⋊C4—101no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—21no—
608C42—31no—
609C42—301no—
610C42C2×D3×D511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—102no—
613C22×C3—201no—
614C22×C3—201no—
615C22×C3C22×C22⋊D511yescharacteristic
616C2×D3—21no—
617C2×D3—21no—
618C2×D3—21no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—102no—
623C2×D3—201no—
624C2×D3—201no—
625C2×D3—404no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—201no—
631C3×C4D5×#4111yescharacteristic
632C3×C4D5×#4111yescharacteristic
633Dic3—21no—
634Dic3—21no—
635Dic3—21no—
636Dic3—41no—
637Dic3—201no—
638C2×C5—121no—
639C2×C5—241no—
640C2×C5#554711yescharacteristic
641C2×C5#576211yescharacteristic
642C2×C5#576911yescharacteristic
643D5—42no—
644D5—122no—
645C23—31no—
646C23—61no—
647C23—101no—
648C23—304no—
649C23—301no—
650C23—1201no—
651C23—1201no—
652Q8—21no—
653Q8—21no—
654Q8—241no—
655D4—52no—
656D4—61no—
657D4—61no—
658D4—101no—
659D4—152no—
660D4—241no—
661D4—304no—
662D4—301no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—101no—
672C2×C4—241no—
673C2×C4—301no—
674C2×C4—401no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4D3×C22⋊D511yescharacteristic
679C2×C4D3×C22⋊D511yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—101no—
682C8—101no—
683C8—301no—
684C8—301no—
685C2×C3—202no—
686C2×C3#6616211yescharacteristic
687C2×C3#6616911yescharacteristic
688C2×C3#6617111yescharacteristic
689D3—41no—
690D3—81no—
691D3—202no—
692C5#7969611yescharacteristic, complemented, Sylow
693C22—61no—
694C22—61no—
695C22—61no—
696C22—102no—
697C22—121no—
698C22—121no—
699C22—121no—
700C22—201no—
701C22—201no—
702C22—302no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C2×D3×C22⋊D511yescharacteristic
707C4—21no—
708C4—21no—
709C4—41no—
710C4—41no—
711C4—61no—
712C4—61no—
713C4—61no—
714C4—121no—
715C4—201no—
716C4—601no—
717C4D5×#23511yescharacteristic
718C4#9201611yescharacteristic
719C3#1061519111yescharacteristic, complemented, Sylow
720C2—121no—
721C2—202no—
722C2—241no—
723C2—602no—
724C2#1175464911yescharacteristic
725C2#1175509111yescharacteristic
726C2#1175532511yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×Q8C22
socleC22×C3×C5C22×D4
prime radical#11747482C2
hypercenterC4×Q8D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C5×#5582C2semidirect
2. #11752727C2semidirect
3. #11751127C2semidirect
4. C3×C4×#688C2semidirect
5. #11749398C2semidirect
6. #11749236C2semidirect
7. #11749228C2semidirect
8. #11749214C2semidirect
10. #11747248C2semidirect
11. #11747245C2semidirect
12. #11747209C2semidirect
13. C4×#6654C2semidirect
14. #11747021C2semidirect
15. #11746877C2semidirect
18. C3×C4×C5×Q8C22semidirect
21. C5×#947C22semidirect
26. C5×#888C22semidirect
29. C4×C5×D12C22semidirect
42. #91119C22semidirect
44. #91091C22semidirect
45. #91087C22semidirect
46. C3×#3967C22semidirect
48. C3×#3940C22semidirect
49. C3×C4×#168C22semidirect
50. #90988C22semidirect
51. #90986C22semidirect
52. Dic3⋊#168C22semidirect
53. Dic3⋊#168C22semidirect
55. #90967C22semidirect
56. #90966C22semidirect
72. C4×#688D3semidirect
125. #5582D5semidirect
149. C4×C5×Q8C2×D3semidirect
166. #3967C2×D3semidirect
176. #3940C2×D3semidirect
182. C4×#168C2×D3semidirect
226. C3×C4×Q8C2×D5semidirect
228. #947C2×D5semidirect
241. #888C2×D5semidirect
247. C4×D12C2×D5semidirect
459. C4×Q8D3×D5semidirect
611. C3×C5#3118semidirect
692. C5#79696semidirect
719. C3#10615191semidirect

Maximal subgroups

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

subgroupindex
C5×#55822
#117527272
#117511272
C3×C4×#6882
#117493982
#117492362
#117492282
#117492142
#117474822
#117472482
#117472452
#117472092
C4×#66542
#117470212
#117468772
#106151913
#796965