Finite Group Databasebeta

← #14435576

Subgroups — #14435576

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
1#11756441C211yesmaximal, characteristic, complemented
2#11756304C211yesmaximal, characteristic, complemented
3C3×C5×#463C211yesmaximal, characteristic, complemented
4#11751270C211yesmaximal, characteristic, complemented
5#11751265C211yesmaximal, characteristic, complemented
6#11751257C211yesmaximal, characteristic
7D8×Dic15C211yesmaximal, characteristic, complemented
8#11751158C211yesmaximal, characteristic, complemented
9#11751109C211yesmaximal, characteristic, complemented
10#11750947C211yesmaximal, characteristic, complemented
11#11750941C211yesmaximal, characteristic, complemented
12#11750915C211yesmaximal, characteristic, complemented
13#11750889C211yesmaximal, characteristic, complemented
14#11750886C211yesmaximal, characteristic, complemented
15#11750885C211yesmaximal, characteristic, complemented
16#10612239—31nomaximal, Hall
17C2×D4×D15C2211yescharacteristic
18C2×C3×C5×SD16C2211yescharacteristic
19C2×C3×C5×D8C2211yescharacteristic
20C3×C5×#124C2211yescharacteristic, complemented
21C3×C4×C5×D4C2211yescharacteristic
22#91835C2211yescharacteristic
23Q8×Dic15C2211yescharacteristic, complemented
24C2×#6717C2211yescharacteristic
25#91827C2211yescharacteristic
26D4×Dic15C2211yescharacteristic
27D4×Dic15C2211yescharacteristic, complemented
28C2×#6715C2211yescharacteristic
29C4×#1220—21no—
30C2×#6714—21no—
31#91782C2211yescharacteristic
32#91781C2211yescharacteristic
33#91775—21no—
34#91774—21no—
35#91770—21no—
36C22⋊C4×D15—21no—
37#91768—21no—
38#91767—21no—
39C4×D60C2211yescharacteristic
40#91761C2211yescharacteristic
41#91758C2211yescharacteristic, complemented
42C3×C5×C4⋊C8C2211yescharacteristic, complemented
43C3×C5×#103C2211yescharacteristic, complemented
44C3×C5×#102C2211yescharacteristic, complemented
45#91119C2211yescharacteristic, complemented
46#91116C2211yescharacteristic
47#91116C2211yescharacteristic
48#91116C2211yescharacteristic, complemented
49#91105C2211yescharacteristic
50#91105C2211yescharacteristic
51#91104C2211yescharacteristic
52#91104C2211yescharacteristic
53#91102C2211yescharacteristic, complemented
54#91102C2211yescharacteristic, complemented
55#91099C2211yescharacteristic, complemented
56C8×Dic15C2211yescharacteristic, complemented
57#91092C2211yescharacteristic, complemented
58#91092C2211yescharacteristic, complemented
59C4⋊(C3⋊#168)C2211yescharacteristic, complemented
60#80508—51nomaximal, Hall
61#66016—31no—
62#65879—31no—
63C5×#463D311yescharacteristic, complemented
64#65458—31no—
65#65453—31no—
66#65445—31no—
67D8×Dic5—31no—
68#65346—31no—
69#65297—31no—
70#65135—31no—
71#65129—31no—
72#65103—31no—
73#65077—31no—
74#65074—31no—
75#65073—31no—
76C23×D15—21no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×D4C2311yescharacteristic
79C2×C3×C5×D4C2311yescharacteristic
80C22×C3×C4×C5—21no—
81C2×#1220—21no—
82C2×#1220—21no—
83C22×Dic15—21no—
84C22×Dic15—21no—
85D4×D15—22no—
86D4×D15—22no—
87C2×D60C2311yescharacteristic
88C2×C4×D15—21no—
89C2×C4×D15—21no—
90C2×C4×D15C2311yescharacteristic
91C2×Dic30—21no—
92C3×C5×SD16—22no—
93C3×C5×D8—22no—
94C2×C3×C5×C8C2311yescharacteristic
95C2×C3×C5×C8C2311yescharacteristic
96C3×C5×C4⋊C4C2311yescharacteristic
97C3×C5×C22⋊C4—21no—
98C3×C5×C22⋊C4—21no—
99C3×C5×C22⋊C4—21no—
100C3×C42×C5C2311yescharacteristic
101#6719—21no—
102#6719—21no—
103#6719—21no—
104#6717—22no—
105#6715—22no—
106#6714—21no—
107#6714—21no—
108#6714—21no—
109#6714—21no—
110#6714D411yescharacteristic
111#6714D411yescharacteristic
112C4⋊Dic15—21no—
113C4⋊Dic15—21no—
114C4⋊Dic15C2311yescharacteristic
115C4⋊Dic15C2311yescharacteristic
116C4⋊Dic15C2311yescharacteristic
117#6712—21no—
118#6712D411yescharacteristic
119#6712D411yescharacteristic
120C4×Dic15—21no—
121C4×Dic15—21no—
122C4×Dic15C2311yescharacteristic
123C2×C3⋊#168C2311yescharacteristic
124C2×C3⋊#168C2311yescharacteristic
125#5682—51no—
126#5545—51no—
127C3×#463D511yescharacteristic, complemented
128#5169—51no—
129#5164—51no—
130#5156—51no—
131Dic3×D8—51no—
132#5057—51no—
133#5008—51no—
134#4846—51no—
135#4840—51no—
136#4814—51no—
137#4788—51no—
138#4785—51no—
139#4784—51no—
140C2×D4×D5—31no—
141C2×C5×SD16C2×D311yescharacteristic
142C2×C5×D8C2×D311yescharacteristic
143C5×#124C2×D311yescharacteristic, complemented
144C4×C5×D4C2×D311yescharacteristic
145#4092—31no—
146Q8×Dic5—31no—
147C2×#688—31no—
148#4084—31no—
149D4×Dic5—31no—
150D4×Dic5—31no—
151C2×#686—31no—
152C4×C22⋊D5—61no—
153C2×#685—61no—
154#4039—31no—
155#4038—31no—
156#4032—61no—
157#4031—61no—
158#4027—61no—
159D5×C22⋊C4—61no—
160#4025—61no—
161#4024—61no—
162C4×D20—31no—
163#4018—31no—
164#4015—31no—
165C5×C4⋊C8C2×D311yescharacteristic, complemented
166C5×#103C2×D311yescharacteristic, complemented
167C5×#102C2×D311yescharacteristic, complemented
168#3967—31no—
169#3964—31no—
170#3964—31no—
171#3964—31no—
172#3953—31no—
173#3953—31no—
174#3952—31no—
175#3952—31no—
176#3950—31no—
177#3950—31no—
178#3947—31no—
179C8×Dic5—31no—
180#3940—31no—
181#3940—31no—
182C4⋊#168—31no—
183#3118—151noSylow
184C23×C3×C5—21no—
185C23×C3×C5—21no—
186C22×D15—21no—
187C22×D15—24no—
188C22×D15—81no—
189C22×D15—81no—
190C22×D15C2×D411yescharacteristic
191C3×C5×Q8—21no—
192C3×C5×Q8—21no—
193C3×C5×D4—21no—
194C3×C5×D4—21no—
195C3×C5×D4—21no—
196C3×C5×D4#4112yes—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—81no—
200C2×C3×C4×C5C2×D411yescharacteristic
201C2×C3×C4×C5C2×D411yescharacteristic
202C2×C3×C4×C5C2411yescharacteristic
203#1220—24no—
204#1220—81no—
205C2×Dic15—21no—
206C2×Dic15—21no—
207C2×Dic15—21no—
208C2×Dic15—81no—
209C2×Dic15—81no—
210C2×Dic15C2×D411yescharacteristic
211C2×Dic15C2×D411yescharacteristic
212C2×Dic15C2×D411yescharacteristic
213D60—21no—
214D60#4112yes—
215C4×D15—21no—
216C4×D15—21no—
217C4×D15—81no—
218C4×D15—81no—
219Dic30—81no—
220C3×C5×C8—21no—
221C3×C5×C8—21no—
222C3⋊#168—21no—
223C3⋊#168—21no—
224C2×D3×D4—51no—
225C2×C3×SD16C2×D511yescharacteristic
226C2×C3×D8C2×D511yescharacteristic
227C3×#124C2×D511yescharacteristic, complemented
228C3×C4×D4C2×D511yescharacteristic
229#946—51no—
230Q8×Dic3—51no—
231C2×#215—51no—
232#938—51no—
233D4×Dic3—51no—
234D4×Dic3—51no—
235C2×#213—51no—
236C4×#67—101no—
237C2×(C2×D3)⋊C4—101no—
238#893—51no—
239#892—51no—
240#886—101no—
241#885—101no—
242#67⋊C4—101no—
243D3×C22⋊C4—101no—
244#879—101no—
245#878—101no—
246C4×D12—51no—
247#872—51no—
248#869—51no—
249C3×C4⋊C8C2×D511yescharacteristic, complemented
250C3×#103C2×D511yescharacteristic, complemented
251C3×#102C2×D511yescharacteristic, complemented
252#835—51no—
253#832—51no—
254#832—51no—
255#832—51no—
256#821—51no—
257#821—51no—
258(C2×D3)⋊C8—51no—
259(C2×D3)⋊C8—51no—
260#818—51no—
261#818—51no—
262#815—51no—
263C8×Dic3—51no—
264#808—51no—
265#808—51no—
266C4⋊(C3⋊C8)—51no—
267C23×D5—61no—
268C2×C5×Q8C22×D311yescharacteristic
269C2×C5×D4C22×D311yescharacteristic
270C2×C5×D4C22×D311yescharacteristic
271C22×C4×C5—21no—
272C2×C22⋊D5—61no—
273C2×C22⋊D5—61no—
274C22×Dic5—61no—
275C22×Dic5—61no—
276D4×D5—62no—
277D4×D5—62no—
278C2×D20—31no—
279C2×C4×D5—31no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×Dic10—61no—
283C5×SD16—22no—
284C5×D8—22no—
285C2×C5×C8C22×D311yescharacteristic
286C2×C5×C8C22×D311yescharacteristic
287C5×C4⋊C4C22×D311yescharacteristic
288C5×C22⋊C4—21no—
289C5×C22⋊C4—21no—
290C5×C22⋊C4—21no—
291C42×C5C22×D311yescharacteristic
292C22⋊Dic5—61no—
293C22⋊Dic5—61no—
294C22⋊Dic5—61no—
295#688—62no—
296#686—62no—
297#685—31no—
298#685—31no—
299#685—61no—
300#685—61no—
301#685—61no—
302#685—61no—
303C4⋊Dic5—31no—
304C4⋊Dic5—31no—
305C4⋊Dic5—31no—
306C4⋊Dic5—61no—
307C4⋊Dic5—61no—
308#683—31no—
309#683—31no—
310#683—61no—
311C4×Dic5—31no—
312C4×Dic5—61no—
313C4×Dic5—61no—
314C2×#168—31no—
315C2×#168—31no—
316#542—151no—
317#518—151no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—151no—
322#463—151no—
323#463D1511yescharacteristic, complemented
324#450—151no—
325#447—151no—
326#442—151no—
327#440—151no—
328C4×SD16—151no—
329C4×D8—151no—
330#433—151no—
331C22×C3×C5—22no—
332C22×C3×C5—41no—
333C22×C3×C5—41no—
334C22×C3×C5—41no—
335C22×C3×C5—41no—
336C22×C3×C5—41no—
337C22×C3×C5C22×D411yescharacteristic
338C2×D15—21no—
339C2×D15—22no—
340C2×D15—21no—
341C2×D15—21no—
342C2×D15—41no—
343C2×D15—41no—
344C2×D15—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—21no—
352Dic15—21no—
353Dic15—21no—
354Dic15—41no—
355Dic15—41no—
356Dic15—41no—
357C23×D3—101no—
358C2×C3×Q8C22×D511yescharacteristic
359C2×C3×D4C22×D511yescharacteristic
360C2×C3×D4C22×D511yescharacteristic
361C22×C3×C4—21no—
362C2×#67—101no—
363C2×#67—101no—
364C22×Dic3—101no—
365C22×Dic3—101no—
366D3×D4—102no—
367D3×D4—102no—
368C2×D12—51no—
369C2×C4×D3—51no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×Dic6—101no—
373C3×SD16—22no—
374C3×D8—22no—
375C2×C3×C8C22×D511yescharacteristic
376C2×C3×C8C22×D511yescharacteristic
377C3×C4⋊C4C22×D511yescharacteristic
378C3×C22⋊C4—21no—
379C3×C22⋊C4—21no—
380C3×C22⋊C4—21no—
381C3×C42C22×D511yescharacteristic
382#217—101no—
383#217—101no—
384#217—101no—
385#215—102no—
386#213—102no—
387(C2×D3)⋊C4—51no—
388(C2×D3)⋊C4—51no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392(C2×D3)⋊C4—101no—
393C4⋊Dic3—51no—
394C4⋊Dic3—51no—
395C4⋊Dic3—51no—
396C4⋊Dic3—101no—
397C4⋊Dic3—101no—
398Dic3⋊C4—51no—
399Dic3⋊C4—51no—
400Dic3⋊C4—101no—
401C4×Dic3—51no—
402C4×Dic3—101no—
403C4×Dic3—101no—
404C2×C3⋊C8—51no—
405C2×C3⋊C8—51no—
406C23×C5—21no—
407C23×C5—21no—
408C22×D5—31no—
409C22×D5—61no—
410C22×D5—64no—
411C22×D5—241no—
412C22×D5—241no—
413C5×Q8—21no—
414C5×Q8—21no—
415C5×D4—21no—
416C5×D4—21no—
417C5×D4—21no—
418C5×D4#23712yes—
419C2×C4×C5—21no—
420C2×C4×C5—21no—
421C2×C4×C5—81no—
422C2×C4×C5D3×D411yescharacteristic
423C2×C4×C5D3×D411yescharacteristic
424C2×C4×C5C23×D311yescharacteristic
425C22⋊D5—64no—
426C22⋊D5—241no—
427C2×Dic5—31no—
428C2×Dic5—31no—
429C2×Dic5—31no—
430C2×Dic5—61no—
431C2×Dic5—61no—
432C2×Dic5—61no—
433C2×Dic5—241no—
434C2×Dic5—241no—
435D20—32no—
436D20—61no—
437C4×D5—61no—
438C4×D5—61no—
439C4×D5—241no—
440C4×D5—241no—
441Dic10—241no—
442C5×C8—21no—
443C5×C8—21no—
444#168—61no—
445#168—61no—
446C22×D4—151no—
447C2×SD16—151no—
448C2×SD16C2×D1511yescharacteristic
449C2×D8—151no—
450C2×D8C2×D1511yescharacteristic
451C4⋊Q8—151no—
452#126—301no—
453#124—301no—
454#124C2×D1511yescharacteristic, complemented
455#123—301no—
456C22⋊Q8—151no—
457C22⋊Q8—301no—
458#121—151no—
459C4×Q8—151no—
460C4×D4—151no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—301no—
465C4×D4—301no—
466C4×D4C2×D1511yescharacteristic
467#117—151no—
468#117—151no—
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—151no—
472#107—151no—
473#106—151no—
474#106—151no—
475C4⋊C8—151no—
476C4⋊C8C2×D1511yescharacteristic, complemented
477#103—151no—
478#103C2×D1511yescharacteristic, complemented
479#102—151no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102C2×D1511yescharacteristic, complemented
485C22⋊C8—151no—
486C22⋊C8—151no—
487#97—151no—
488C4×C8—151no—
489C2×C3×C5—42no—
490C2×C3×C5—81no—
491C2×C3×C5#52511yescharacteristic
492C2×C3×C5#57611yescharacteristic
493C2×C3×C5#57711yescharacteristic
494D15—41no—
495D15—42no—
496C23×C3—21no—
497C23×C3—21no—
498C22×D3—51no—
499C22×D3—101no—
500C22×D3—104no—
501C22×D3—401no—
502C22×D3—401no—
503C3×Q8—21no—
504C3×Q8—21no—
505C3×D4—21no—
506C3×D4—21no—
507C3×D4—21no—
508C3×D4#71112yes—
509C2×C3×C4—21no—
510C2×C3×C4—21no—
511C2×C3×C4—81no—
512C2×C3×C4D4×D511yescharacteristic
513C2×C3×C4D4×D511yescharacteristic
514C2×C3×C4C23×D511yescharacteristic
515#67—104no—
516#67—401no—
517C2×Dic3—51no—
518C2×Dic3—51no—
519C2×Dic3—51no—
520C2×Dic3—101no—
521C2×Dic3—101no—
522C2×Dic3—101no—
523C2×Dic3—401no—
524C2×Dic3—401no—
525D12—52no—
526D12—101no—
527C4×D3—101no—
528C4×D3—101no—
529C4×D3—401no—
530C4×D3—401no—
531Dic6—401no—
532C3×C8—21no—
533C3×C8—21no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—22no—
537C22×C5—41no—
538C22×C5—41no—
539C22×C5—41no—
540C22×C5—41no—
541C22×C5—41no—
542C22×C5C2×D3×D411yescharacteristic
543C2×D5—61no—
544C2×D5—61no—
545C2×D5—61no—
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×C5C2×#23711yescharacteristic
555C4×C5D3×#4111yescharacteristic
556Dic5—61no—
557Dic5—61no—
558Dic5—61no—
559Dic5—121no—
560Dic5—121no—
561Dic5—121no—
562C24—301no—
563C2×Q8—301no—
564C2×Q8C22×D1511yescharacteristic
565C2×D4—151no—
566C2×D4—301no—
567C2×D4—302no—
568C2×D4—302no—
569C2×D4—301no—
570C2×D4C22×D1511yescharacteristic
571C2×D4C22×D1511yescharacteristic
572C22×C4—21no—
573C22×C4—151no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578SD16—22no—
579SD16—302no—
580D8—22no—
581D8—302no—
582C2×C8—151no—
583C2×C8—151no—
584C2×C8C22×D1511yescharacteristic
585C2×C8C22×D1511yescharacteristic
586C4⋊C4—151no—
587C4⋊C4—151no—
588C4⋊C4—151no—
589C4⋊C4—151no—
590C4⋊C4—151no—
591C4⋊C4—301no—
592C4⋊C4—301no—
593C4⋊C4—301no—
594C4⋊C4C22×D1511yescharacteristic
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—21no—
598C22⋊C4—151no—
599C22⋊C4—151no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—151no—
608C42—301no—
609C42—301no—
610C42C22×D1511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3C2×D4×D511yescharacteristic
619C2×D3—101no—
620C2×D3—101no—
621C2×D3—101no—
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×C4C2×#71111yescharacteristic
631C3×C4D5×#4111yescharacteristic
632Dic3—101no—
633Dic3—101no—
634Dic3—101no—
635Dic3—201no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—42no—
639C2×C5—81no—
640C2×C5#560611yescharacteristic
641C2×C5#576911yescharacteristic
642C2×C5#577511yescharacteristic
643D5—121no—
644D5—122no—
645C23—21no—
646C23—21no—
647C23—151no—
648C23—304no—
649C23—301no—
650C23—1201no—
651C23—1201no—
652Q8—21no—
653Q8—21no—
654Q8—1201no—
655D4—21no—
656D4—21no—
657D4—21no—
658D4—152no—
659D4—304no—
660D4—301no—
661D4—1201no—
662D4#681912yes—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—81no—
666C2×C4—151no—
667C2×C4—151no—
668C2×C4—151no—
669C2×C4—301no—
670C2×C4—301no—
671C2×C4—301no—
672C2×C4—301no—
673C2×C4—301no—
674C2×C4—1201no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4D4×D1511yescharacteristic
679C2×C4D4×D1511yescharacteristic
680C2×C4C23×D1511yescharacteristic
681C8—21no—
682C8—21no—
683C8—301no—
684C8—301no—
685C2×C3—42no—
686C2×C3—81no—
687C2×C3#6594011yescharacteristic
688C2×C3#6610311yescharacteristic
689C2×C3#6610911yescharacteristic
690D3—201no—
691D3—202no—
692C5#8050811yescharacteristic, complemented, Sylow
693C22—22no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—301no—
700C22—302no—
701C22—301no—
702C22—301no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C2×D4×D1511yescharacteristic
707C4—21no—
708C4—21no—
709C4—41no—
710C4—41no—
711C4—301no—
712C4—301no—
713C4—301no—
714C4—601no—
715C4—601no—
716C4—601no—
717C4C2×#681911yescharacteristic
718C4#41×D1511yescharacteristic
719C3#1061223911yescharacteristic, complemented, Sylow
720C2—42no—
721C2—81no—
722C2—601no—
723C2—602no—
724C2#1175636511yescharacteristic
725C2#1175652811yescharacteristic
726C2#1175653411yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#463C2
socleC22×C3×C5C22×D4
prime radical#11751257C2
hypercenter#463D15
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ #463

Complements

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

NH ≅ G/Ntype
1. #11756441C2semidirect
2. #11756304C2semidirect
3. C3×C5×#463C2semidirect
4. #11751270C2semidirect
5. #11751265C2semidirect
7. D8×Dic15C2semidirect
8. #11751158C2semidirect
9. #11751109C2semidirect
10. #11750947C2semidirect
11. #11750941C2semidirect
12. #11750915C2semidirect
13. #11750889C2semidirect
14. #11750886C2semidirect
15. #11750885C2semidirect
20. C3×C5×#124C22semidirect
23. Q8×Dic15C22semidirect
27. D4×Dic15C22semidirect
41. #91758C22semidirect
42. C3×C5×C4⋊C8C22semidirect
43. C3×C5×#103C22semidirect
44. C3×C5×#102C22semidirect
45. #91119C22semidirect
48. #91116C22semidirect
53. #91102C22semidirect
54. #91102C22semidirect
55. #91099C22semidirect
56. C8×Dic15C22semidirect
57. #91092C22semidirect
58. #91092C22semidirect
59. C4⋊(C3⋊#168)C22semidirect
63. C5×#463D3semidirect
127. C3×#463D5semidirect
143. C5×#124C2×D3semidirect
165. C5×C4⋊C8C2×D3semidirect
166. C5×#103C2×D3semidirect
167. C5×#102C2×D3semidirect
227. C3×#124C2×D5semidirect
249. C3×C4⋊C8C2×D5semidirect
250. C3×#103C2×D5semidirect
251. C3×#102C2×D5semidirect
323. #463D15semidirect
454. #124C2×D15semidirect
476. C4⋊C8C2×D15semidirect
478. #103C2×D15semidirect
484. #102C2×D15semidirect
611. C3×C5#3118semidirect
692. C5#80508semidirect
719. C3#10612239semidirect

Maximal subgroups

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

subgroupindex
#117564412
#117563042
C3×C5×#4632
#117512702
#117512652
#117512572
D8×Dic152
#117511582
#117511092
#117509472
#117509412
#117509152
#117508892
#117508862
#117508852
#106122393
#805085