Finite Group Databasebeta

← #14435597

Subgroups — #14435597

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#11756341C211yesmaximal, characteristic, complemented
2#11756304C211yesmaximal, characteristic, complemented
3C3×C5×#440C211yesmaximal, characteristic, complemented
4#11751270C211yesmaximal, characteristic, complemented
5#11751266C211yesmaximal, characteristic, complemented
6C4×#6717C211yesmaximal, characteristic, complemented
7C4×#6715C211yesmaximal, characteristic, complemented
8#11750991C211yesmaximal, characteristic, complemented
9#11750986C211yesmaximal, characteristic, complemented
10#11750920C211yesmaximal, characteristic, complemented
11#11750916C211yesmaximal, characteristic, complemented
12#11750874C211yesmaximal, characteristic
13#11750862C211yesmaximal, characteristic, complemented
14#11750812C211yesmaximal, characteristic, complemented
15#11750810C211yesmaximal, characteristic, complemented
16#10611516—31nomaximal, Hall
17C2×D4×D15C2211yescharacteristic
18C2×C3×C5×SD16C2211yescharacteristic
19C3×C4×C5×Q8C2211yescharacteristic, complemented
20C3×C4×C5×D4C2211yescharacteristic
21#91836C2211yescharacteristic, complemented
22#91835C2211yescharacteristic
23C2×#6717C2211yescharacteristic
24D4×Dic15C2211yescharacteristic
25C2×#6715C2211yescharacteristic
26C4×#1220—21no—
27C2×#6714—21no—
28C2×D120C2211yescharacteristic
29#91785—21no—
30#91784C2211yescharacteristic
31#91783—21no—
32#91782C2211yescharacteristic
33#91781C2211yescharacteristic
34#91777C2211yescharacteristic, complemented
35#91770—21no—
36C22⋊C4×D15—21no—
37#91765—21no—
38#91764—21no—
39C4×D60C2211yescharacteristic
40C4×D60C2211yescharacteristic, complemented
41#91761C2211yescharacteristic
42C3×C5×#107C2211yescharacteristic, complemented
43C3×C5×#103C2211yescharacteristic, complemented
44C3×C5×#102C2211yescharacteristic
45C3×C5×#97C2211yescharacteristic, complemented
46#91119C2211yescharacteristic, complemented
47#91116C2211yescharacteristic
48#91105C2211yescharacteristic
49#91105C2211yescharacteristic, complemented
50#91104C2211yescharacteristic
51#91104C2211yescharacteristic
52#91101C2211yescharacteristic, complemented
53#91098C2211yescharacteristic, complemented
54#91098C2211yescharacteristic, complemented
55#91093C2211yescharacteristic
56#91093C2211yescharacteristic, complemented
57#91092C2211yescharacteristic, complemented
58#91091C2211yescharacteristic, complemented
59C4×C3⋊#168C2211yescharacteristic, complemented
60#79785—51nomaximal, Hall
61#65916—31no—
62#65879—31no—
63C5×#440D311yescharacteristic, complemented
64#65458—31no—
65#65454—31no—
66C4×#688—31no—
67C4×#686—31no—
68#65179—31no—
69#65174—31no—
70#65108—31no—
71#65104—31no—
72#65062—31no—
73#65050—31no—
74#65000—31no—
75#64998—31no—
76C23×D15—21no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×D4C2311yescharacteristic
79C22×C3×C4×C5—21no—
80C2×#1220—21no—
81C22×Dic15—21no—
82D4×D15—22no—
83D4×D15—22no—
84C2×D60—21no—
85C2×D60C2311yescharacteristic
86C2×D60C2311yescharacteristic
87C2×C4×D15—21no—
88C2×C4×D15—21no—
89C2×C4×D15—21no—
90C2×C4×D15C2311yescharacteristic
91C2×Dic30—21no—
92C3×C5×SD16—22no—
93C2×C3×C5×C8C2311yescharacteristic
94C2×C3×C5×C8C2311yescharacteristic
95C3×C5×C4⋊C4—21no—
96C3×C5×C4⋊C4C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98C3×C5×C22⋊C4—21no—
99C3×C42×C5—21no—
100C3×C42×C5C2311yescharacteristic
101#6719—21no—
102#6717—22no—
103#6715—22no—
104#6714—21no—
105#6714—21no—
106#6714—21no—
107#6714—21no—
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714—21no—
112#6714D411yescharacteristic
113#6714D411yescharacteristic
114C4⋊Dic15C2311yescharacteristic
115C4⋊Dic15C2311yescharacteristic
116#6712—21no—
117#6712—21no—
118#6712D411yescharacteristic
119#6712D411yescharacteristic
120C4×Dic15—21no—
121C4×Dic15C2311yescharacteristic
122C2×C3⋊#168C2311yescharacteristic
123C2×C3⋊#168C2311yescharacteristic
124D120—22no—
125#5582—51no—
126#5545—51no—
127C3×#440D511yescharacteristic, complemented
128#5169—51no—
129#5165—51no—
130C4×#215—51no—
131C4×#213—51no—
132#4890—51no—
133#4885—51no—
134#4819—51no—
135#4815—51no—
136#4773—51no—
137#4761—51no—
138#4711—51no—
139#4709—51no—
140C2×D4×D5—31no—
141C2×C5×SD16C2×D311yescharacteristic
142C4×C5×Q8C2×D311yescharacteristic, complemented
143C4×C5×D4C2×D311yescharacteristic
144#4093—31no—
145#4092—31no—
146C2×#688—31no—
147D4×Dic5—31no—
148C2×#686—31no—
149C4×C22⋊D5—61no—
150C2×#685—61no—
151C2×D40—31no—
152#4042—61no—
153#4041—31no—
154#4040—61no—
155#4039—31no—
156#4038—31no—
157#4034—31no—
158#4027—61no—
159D5×C22⋊C4—61no—
160#4022—61no—
161#4021—61no—
162C4×D20—31no—
163C4×D20—31no—
164#4018—31no—
165C5×#107C2×D311yescharacteristic, complemented
166C5×#103C2×D311yescharacteristic, complemented
167C5×#102C2×D311yescharacteristic
168C5×#97C2×D311yescharacteristic, complemented
169#3967—31no—
170#3964—31no—
171#3953—31no—
172#3953—31no—
173#3952—31no—
174#3952—31no—
175#3949—31no—
176#3946—31no—
177#3946—31no—
178#3941—31no—
179#3941—31no—
180#3940—31no—
181#3939—31no—
182C4×#168—31no—
183#3118—151noSylow
184C23×C3×C5—21no—
185C22×D15—21no—
186C22×D15—24no—
187C22×D15—21no—
188C22×D15—81no—
189C22×D15—81no—
190C22×D15C2×D411yescharacteristic
191C3×C5×Q8—21no—
192C3×C5×Q8—21no—
193C3×C5×D4—21no—
194C3×C5×D4#4112yes—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5—81no—
199C2×C3×C4×C5C2×D411yescharacteristic
200C2×C3×C4×C5C2×D411yescharacteristic
201C2×C3×C4×C5C2411yescharacteristic
202#1220—24no—
203C2×Dic15—21no—
204C2×Dic15—21no—
205C2×Dic15—81no—
206C2×Dic15C2×D411yescharacteristic
207C2×Dic15C2×D411yescharacteristic
208C2×Dic15C2×D411yescharacteristic
209D60—21no—
210D60—21no—
211D60—21no—
212D60—81no—
213D60#4112yes—
214C4×D15—21no—
215C4×D15—21no—
216C4×D15—81no—
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
226C3×C4×Q8C2×D511yescharacteristic, complemented
227C3×C4×D4C2×D511yescharacteristic
228#947—51no—
229#946—51no—
230C2×#215—51no—
231D4×Dic3—51no—
232C2×#213—51no—
233C4×#67—101no—
234C2×(C2×D3)⋊C4—101no—
235C2×D24—51no—
236#896—101no—
237#895—51no—
238#894—101no—
239#893—51no—
240#892—51no—
241#888—51no—
242#67⋊C4—101no—
243D3×C22⋊C4—101no—
244#876—101no—
245#875—101no—
246C4×D12—51no—
247C4×D12—51no—
248#872—51no—
249C3×#107C2×D511yescharacteristic, complemented
250C3×#103C2×D511yescharacteristic, complemented
251C3×#102C2×D511yescharacteristic
252C3×#97C2×D511yescharacteristic, complemented
253#835—51no—
254#832—51no—
255#821—51no—
256#821—51no—
257(C2×D3)⋊C8—51no—
258(C2×D3)⋊C8—51no—
259#817—51no—
260Dic3⋊C8—51no—
261Dic3⋊C8—51no—
262#809—51no—
263#809—51no—
264#808—51no—
265#807—51no—
266C4×C3⋊C8—51no—
267C23×D5—61no—
268C2×C5×Q8C22×D311yescharacteristic
269C2×C5×D4C22×D311yescharacteristic
270C22×C4×C5—21no—
271C2×C22⋊D5—61no—
272C22×Dic5—61no—
273D4×D5—62no—
274D4×D5—62no—
275C2×D20—31no—
276C2×D20—31no—
277C2×D20—61no—
278C2×C4×D5—31no—
279C2×C4×D5—61no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×Dic10—61no—
283C5×SD16—22no—
284C2×C5×C8C22×D311yescharacteristic
285C2×C5×C8C22×D311yescharacteristic
286C5×C4⋊C4—21no—
287C5×C4⋊C4C22×D311yescharacteristic
288C5×C4⋊C4C22×D311yescharacteristic
289C5×C22⋊C4—21no—
290C42×C5—21no—
291C42×C5C22×D311yescharacteristic
292C22⋊Dic5—61no—
293#688—62no—
294#686—62no—
295#685—31no—
296#685—31no—
297#685—61no—
298#685—61no—
299#685—61no—
300#685—61no—
301#685—61no—
302#685—61no—
303#685—61no—
304#685—61no—
305C4⋊Dic5—31no—
306C4⋊Dic5—31no—
307#683—31no—
308#683—31no—
309#683—61no—
310#683—61no—
311C4×Dic5—31no—
312C4×Dic5—61no—
313C2×#168—31no—
314C2×#168—31no—
315D40—62no—
316#542—151no—
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#440D1511yescharacteristic, complemented
328C4×SD16—151no—
329C4×D8—151no—
330#433—151no—
331C22×C3×C5—22no—
332C22×C3×C5—41no—
333C22×C3×C5—41no—
334C22×C3×C5C22×D411yescharacteristic
335C2×D15—21no—
336C2×D15—22no—
337C2×D15—21no—
338C2×D15—21no—
339C2×D15—41no—
340C2×D15—41no—
341C2×D15—41no—
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×C5—41no—
350C3×C4×C5C2×#4111yescharacteristic
351C3×C4×C5C2×#4111yescharacteristic
352Dic15—21no—
353Dic15—21no—
354Dic15—21no—
355Dic15—41no—
356Dic15—41no—
357C23×D3—101no—
358C2×C3×Q8C22×D511yescharacteristic
359C2×C3×D4C22×D511yescharacteristic
360C22×C3×C4—21no—
361C2×#67—101no—
362C22×Dic3—101no—
363D3×D4—102no—
364D3×D4—102no—
365C2×D12—51no—
366C2×D12—51no—
367C2×D12—101no—
368C2×C4×D3—51no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×Dic6—101no—
373C3×SD16—22no—
374C2×C3×C8C22×D511yescharacteristic
375C2×C3×C8C22×D511yescharacteristic
376C3×C4⋊C4—21no—
377C3×C4⋊C4C22×D511yescharacteristic
378C3×C4⋊C4C22×D511yescharacteristic
379C3×C22⋊C4—21no—
380C3×C42—21no—
381C3×C42C22×D511yescharacteristic
382#217—101no—
383#215—102no—
384#213—102no—
385(C2×D3)⋊C4—51no—
386(C2×D3)⋊C4—51no—
387(C2×D3)⋊C4—101no—
388(C2×D3)⋊C4—101no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392(C2×D3)⋊C4—101no—
393(C2×D3)⋊C4—101no—
394(C2×D3)⋊C4—101no—
395C4⋊Dic3—51no—
396C4⋊Dic3—51no—
397Dic3⋊C4—51no—
398Dic3⋊C4—51no—
399Dic3⋊C4—101no—
400Dic3⋊C4—101no—
401C4×Dic3—51no—
402C4×Dic3—101no—
403C2×C3⋊C8—51no—
404C2×C3⋊C8—51no—
405D24—102no—
406C23×C5—21no—
407C22×D5—31no—
408C22×D5—61no—
409C22×D5—64no—
410C22×D5—61no—
411C22×D5—241no—
412C22×D5—241no—
413C5×Q8—21no—
414C5×Q8—21no—
415C5×D4—21no—
416C5×D4#23512yes—
417C2×C4×C5—21no—
418C2×C4×C5—21no—
419C2×C4×C5—21no—
420C2×C4×C5—81no—
421C2×C4×C5D3×D411yescharacteristic
422C2×C4×C5D3×D411yescharacteristic
423C2×C4×C5C23×D311yescharacteristic
424C22⋊D5—64no—
425C2×Dic5—31no—
426C2×Dic5—31no—
427C2×Dic5—31no—
428C2×Dic5—61no—
429C2×Dic5—61no—
430C2×Dic5—241no—
431D20—32no—
432D20—61no—
433D20—61no—
434D20—61no—
435D20—241no—
436C4×D5—61no—
437C4×D5—61no—
438C4×D5—241no—
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×D8—151no—
451C4⋊Q8—151no—
452#126—301no—
453#124—151no—
454#124—301no—
455#123—301no—
456C22⋊Q8—151no—
457C22⋊Q8—301no—
458#121—151no—
459C4×Q8C2×D1511yescharacteristic, complemented
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#107C2×D1511yescharacteristic, complemented
473#106—151no—
474#106—151no—
475C4⋊C8—151no—
476C4⋊C8—151no—
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
485C22⋊C8—151no—
486C22⋊C8—151no—
487#97C2×D1511yescharacteristic, complemented
488C4×C8—151no—
489C2×C3×C5—42no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493D15—41no—
494D15—42no—
495D15—81no—
496C23×C3—21no—
497C22×D3—51no—
498C22×D3—101no—
499C22×D3—104no—
500C22×D3—101no—
501C22×D3—401no—
502C22×D3—401no—
503C3×Q8—21no—
504C3×Q8—21no—
505C3×D4—21no—
506C3×D4#70912yes—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—21no—
510C2×C3×C4—81no—
511C2×C3×C4D4×D511yescharacteristic
512C2×C3×C4D4×D511yescharacteristic
513C2×C3×C4C23×D511yescharacteristic
514#67—104no—
515C2×Dic3—51no—
516C2×Dic3—51no—
517C2×Dic3—51no—
518C2×Dic3—101no—
519C2×Dic3—101no—
520C2×Dic3—401no—
521D12—52no—
522D12—101no—
523D12—101no—
524D12—101no—
525D12—401no—
526C4×D3—101no—
527C4×D3—101no—
528C4×D3—401no—
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×C5C2×D3×D411yescharacteristic
540C2×D5—61no—
541C2×D5—61no—
542C2×D5—61no—
543C2×D5—62no—
544C2×D5—121no—
545C2×D5—121no—
546C2×D5—121no—
547C2×D5—121no—
548C2×D5—121no—
549C2×D5—244no—
550C4×C5—21no—
551C4×C5—21no—
552C4×C5—41no—
553C4×C5—41no—
554C4×C5—41no—
555C4×C5C2×#23511yescharacteristic
556C4×C5D3×#4111yescharacteristic
557Dic5—61no—
558Dic5—61no—
559Dic5—61no—
560Dic5—121no—
561Dic5—121no—
562C24—301no—
563C2×Q8—301no—
564C2×Q8C22×D1511yescharacteristic
565C2×D4—151no—
566C2×D4—151no—
567C2×D4—301no—
568C2×D4—301no—
569C2×D4—302no—
570C2×D4—302no—
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—302no—
581D8—302no—
582C2×C8—151no—
583C2×C8—151no—
584C2×C8C22×D1511yescharacteristic
585C2×C8C22×D1511yescharacteristic
586C4⋊C4—21no—
587C4⋊C4—151no—
588C4⋊C4—151no—
589C4⋊C4—151no—
590C4⋊C4—151no—
591C4⋊C4—301no—
592C4⋊C4—301no—
593C4⋊C4C22×D1511yescharacteristic
594C4⋊C4C22×D1511yescharacteristic
595C22⋊C4—21no—
596C22⋊C4—151no—
597C22⋊C4—151no—
598C22⋊C4—301no—
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—21no—
608C42—151no—
609C42—301no—
610C42C22×D1511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3C2×D4×D511yescharacteristic
616C2×D3—101no—
617C2×D3—101no—
618C2×D3—101no—
619C2×D3—102no—
620C2×D3—201no—
621C2×D3—201no—
622C2×D3—201no—
623C2×D3—201no—
624C2×D3—201no—
625C2×D3—404no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4C2×#70911yescharacteristic
632C3×C4D5×#4111yescharacteristic
633Dic3—101no—
634Dic3—101no—
635Dic3—101no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—42no—
639C2×C5#554711yescharacteristic
640C2×C5#577411yescharacteristic
641C2×C5#577811yescharacteristic
642D5—121no—
643D5—122no—
644D5—241no—
645C23—21no—
646C23—151no—
647C23—304no—
648C23—301no—
649C23—301no—
650C23—1201no—
651C23—1201no—
652Q8—21no—
653Q8—21no—
654Q8—1201no—
655D4—21no—
656D4—152no—
657D4—304no—
658D4—301no—
659D4—301no—
660D4—301no—
661D4—1201no—
662D4#681712yes—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—81no—
667C2×C4—151no—
668C2×C4—151no—
669C2×C4—151no—
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#6588111yescharacteristic
687C2×C3#6610811yescharacteristic
688C2×C3#6611211yescharacteristic
689D3—201no—
690D3—202no—
691D3—401no—
692C5#7978511yescharacteristic, complemented, Sylow
693C22—22no—
694C22—41no—
695C22—41no—
696C22—301no—
697C22—302no—
698C22—301no—
699C22—301no—
700C22—601no—
701C22—601no—
702C22—601no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C2×D4×D1511yescharacteristic
707C4—21no—
708C4—21no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—301no—
713C4—301no—
714C4—301no—
715C4—601no—
716C4—601no—
717C4C2×#681711yescharacteristic
718C4#41×D1511yescharacteristic
719C3#1061151611yescharacteristic, complemented, Sylow
720C2—42no—
721C2—601no—
722C2—602no—
723C2—1201no—
724C2#1175630611yescharacteristic
725C2#1175653311yescharacteristic
726C2#1175653711yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#440C2
socleC22×C3×C5C22×D4
prime radical#11750874C2
hypercenter#440D15
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ #440

Complements

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

NH ≅ G/Ntype
1. #11756341C2semidirect
2. #11756304C2semidirect
3. C3×C5×#440C2semidirect
4. #11751270C2semidirect
5. #11751266C2semidirect
6. C4×#6717C2semidirect
7. C4×#6715C2semidirect
8. #11750991C2semidirect
9. #11750986C2semidirect
10. #11750920C2semidirect
11. #11750916C2semidirect
13. #11750862C2semidirect
14. #11750812C2semidirect
15. #11750810C2semidirect
19. C3×C4×C5×Q8C22semidirect
21. #91836C22semidirect
34. #91777C22semidirect
40. C4×D60C22semidirect
42. C3×C5×#107C22semidirect
43. C3×C5×#103C22semidirect
45. C3×C5×#97C22semidirect
46. #91119C22semidirect
49. #91105C22semidirect
52. #91101C22semidirect
53. #91098C22semidirect
54. #91098C22semidirect
56. #91093C22semidirect
57. #91092C22semidirect
58. #91091C22semidirect
59. C4×C3⋊#168C22semidirect
63. C5×#440D3semidirect
127. C3×#440D5semidirect
142. C4×C5×Q8C2×D3semidirect
165. C5×#107C2×D3semidirect
166. C5×#103C2×D3semidirect
168. C5×#97C2×D3semidirect
226. C3×C4×Q8C2×D5semidirect
249. C3×#107C2×D5semidirect
250. C3×#103C2×D5semidirect
252. C3×#97C2×D5semidirect
327. #440D15semidirect
459. C4×Q8C2×D15semidirect
472. #107C2×D15semidirect
478. #103C2×D15semidirect
487. #97C2×D15semidirect
611. C3×C5#3118semidirect
692. C5#79785semidirect
719. C3#10611516semidirect

Maximal subgroups

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

subgroupindex
#117563412
#117563042
C3×C5×#4402
#117512702
#117512662
C4×#67172
C4×#67152
#117509912
#117509862
#117509202
#117509162
#117508742
#117508622
#117508122
#117508102
#106115163
#797855