Finite Group Databasebeta

← #14459102

Subgroups — #14459102

Order 1920.

840 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×#1220C211yesmaximal, characteristic, complemented
2#11756370C211yesmaximal, characteristic
3C3×C5×#448C211yesmaximal, characteristic, complemented
4C2×#91119C211yesmaximal, characteristic, complemented
5#11751272C211yesmaximal, characteristic, complemented
6#11751271C211yesmaximal, characteristic, complemented
7#11751263C211yesmaximal, characteristic, complemented
8SD16×Dic15C211yesmaximal, characteristic, complemented
9#11751142C211yesmaximal, characteristic, complemented
10#11750906C211yesmaximal, characteristic, complemented
11D15×#103C211yesmaximal, characteristic, complemented
12#11750893C211yesmaximal, characteristic, complemented
13#11750892C211yesmaximal, characteristic, complemented
14#11750826C211yesmaximal, characteristic, complemented
15#11750822C211yesmaximal, characteristic, complemented
16#10611780—31nomaximal, Hall
17C22×C3×C5×Q8C2211yescharacteristic
18C2×Q8×D15C2211yescharacteristic
19C2×#6819—21no—
20C2×C3×C5×SD16C2211yescharacteristic
21C2×C3×C5×SD16C2211yescharacteristic
22C3×C5×#121C2211yescharacteristic
23#91835—21no—
24#91835C2211yescharacteristic
25Q8×Dic15C2211yescharacteristic
26#91833—21no—
27#91833C2211yescharacteristic
28#91827C2211yescharacteristic
29#91824—21no—
30D4×Dic15C2211yescharacteristic
31C2×#6716C2211yescharacteristic
32C4×#1220—21no—
33C4×#1220C2211yescharacteristic
34C2×C4⋊Dic15C2211yescharacteristic
35#91813—21no—
36#91813C2211yescharacteristic
37C22×C3⋊#168C2211yescharacteristic
38C2×C8×D15C2211yescharacteristic
39C4⋊C4×D15C2211yescharacteristic
40#91777C2211yescharacteristic
41#91772—21no—
42#91767—21no—
43C3×C5×#103C2211yescharacteristic
44C3×C5×#103C2211yescharacteristic
45C3×C5×C22⋊C8C2211yescharacteristic
46#91119C2211yescharacteristic
47#91119C2211yescharacteristic
48#91119C2211yescharacteristic
49#91119C2211yescharacteristic
50#91116C2211yescharacteristic
51#91104C2211yescharacteristic
52#91101C2211yescharacteristic
53#91101C2211yescharacteristic
54#91100C2211yescharacteristic
55#91100C2211yescharacteristic
56#91098C2211yescharacteristic
57C8×Dic15C2211yescharacteristic
58#91094C2211yescharacteristic
59#91092C2211yescharacteristic
60#80049—51nomaximal, Hall
61Q8×C22⋊D5—31no—
62#65945—31no—
63C5×#448D311yescharacteristic, complemented
64C2×#3967—31no—
65#65460—31no—
66#65459—31no—
67#65451—31no—
68SD16×Dic5—31no—
69#65330—31no—
70#65094—31no—
71D5×#103—31no—
72#65081—31no—
73#65080—31no—
74#65014—31no—
75#65010—31no—
76C2×C3×C5×Q8—21no—
77C2×C3×C5×Q8—22no—
78C2×C3×C5×Q8—41no—
79C2×C3×C5×Q8C2311yescharacteristic
80C2×C3×C5×Q8C2311yescharacteristic
81C2×C3×C5×D4—21no—
82C2×C3×C5×D4C2311yescharacteristic
83C22×C3×C4×C5—21no—
84C22×C3×C4×C5C2311yescharacteristic
85C2×#1220—21no—
86C2×#1220D411yescharacteristic
87C22×Dic15—21no—
88C22×Dic15—21no—
89Q8×D15—22no—
90Q8×D15—41no—
91#6819—44no—
92C2×C4×D15—21no—
93C2×C4×D15—21no—
94C2×C4×D15C2311yescharacteristic
95C2×Dic30—21no—
96C2×Dic30—21no—
97C2×Dic30C2311yescharacteristic
98C3×C5×SD16—22no—
99C3×C5×SD16—41no—
100C2×C3×C5×C8C2311yescharacteristic
101C2×C3×C5×C8C2311yescharacteristic
102C3×C5×C4⋊C4C2311yescharacteristic
103C3×C5×C22⋊C4—21no—
104#6719—21no—
105#6719—21no—
106#6719—21no—
107#6719D411yescharacteristic
108#6716—41no—
109#6714—21no—
110#6714D411yescharacteristic
111C4⋊Dic15—21no—
112C4⋊Dic15—21no—
113C4⋊Dic15C2311yescharacteristic
114C4⋊Dic15C2311yescharacteristic
115C4⋊Dic15C2311yescharacteristic
116#6712—21no—
117#6712—21no—
118#6712—21no—
119#6712—21no—
120#6712—21no—
121#6712—21no—
122#6712D411yescharacteristic
123C4×Dic15—21no—
124C4×Dic15C2311yescharacteristic
125C2×C3⋊#168—41no—
126C2×C3⋊#168C2311yescharacteristic
127C2×C3⋊#168C2311yescharacteristic
128C8×D15—41no—
129Q8×#67—51no—
130#5611—51no—
131C3×#448D511yescharacteristic, complemented
132C2×#835—51no—
133#5171—51no—
134#5170—51no—
135#5162—51no—
136Dic3×SD16—51no—
137#5041—51no—
138#4805—51no—
139D3×#103—51no—
140#4792—51no—
141#4791—51no—
142#67⋊C8—51no—
143#4721—51no—
144C22×C5×Q8C2×D311yescharacteristic
145C2×Q8×D5—31no—
146C2×#711—61no—
147C2×C5×SD16C2×D311yescharacteristic
148C2×C5×SD16C2×D311yescharacteristic
149C5×#121C2×D311yescharacteristic
150#4092—31no—
151#4092—61no—
152Q8×Dic5—31no—
153#4090—31no—
154#4090—61no—
155#4084—31no—
156#4081—61no—
157D4×Dic5—31no—
158C2×#687—31no—
159C4×C22⋊D5—31no—
160C4×C22⋊D5—61no—
161C2×C4⋊Dic5—31no—
162#4070—31no—
163#4070—61no—
164C22×#168—31no—
165C2×C8×D5—31no—
166D5×C4⋊C4—31no—
167#4034—31no—
168#4029—61no—
169#4024—61no—
170C5×#103C2×D311yescharacteristic
171C5×#103C2×D311yescharacteristic
172C5×C22⋊C8C2×D311yescharacteristic
173#3967—31no—
174#3967—31no—
175#3967—31no—
176#3967—31no—
177#3964—31no—
178#3952—31no—
179#3949—31no—
180#3949—31no—
181#3948—31no—
182#3948—31no—
183#3946—31no—
184C8×Dic5—31no—
185#3942—31no—
186#3940—31no—
187#3298—151noSylow
188C23×C3×C5—21no—
189C23×C3×C5C2×D411yescharacteristic
190C22×D15C2×D411yescharacteristic
191C3×C5×Q8—21no—
192C3×C5×Q8—21no—
193C3×C5×Q8—21no—
194C3×C5×Q8—42no—
195C3×C5×Q8#4112yescomplemented
196C3×C5×D4—21no—
197C3×C5×D4—21no—
198C3×C5×D4—42no—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5—21no—
202C2×C3×C4×C5—21no—
203C2×C3×C4×C5—21no—
204C2×C3×C4×C5—42no—
205C2×C3×C4×C5C2×D411yescharacteristic
206C2×C3×C4×C5C2411yescharacteristic
207#1220—42no—
208#1220SD1614yescomplemented
209C2×Dic15—21no—
210C2×Dic15—21no—
211C2×Dic15—21no—
212C2×Dic15—21no—
213C2×Dic15—42no—
214C2×Dic15—42no—
215C2×Dic15C2×D411yescharacteristic
216C2×Dic15C2×D411yescharacteristic
217C2×Dic15C2×D411yescharacteristic
218C4×D15—21no—
219C4×D15—21no—
220C4×D15—42no—
221C4×D15—42no—
222Dic30—21no—
223Dic30—21no—
224Dic30—42no—
225Dic30—42no—
226C3×C5×C8—21no—
227C3×C5×C8—21no—
228C3⋊#168—21no—
229C3⋊#168—21no—
230C22×C3×Q8C2×D511yescharacteristic
231C2×D3×Q8—51no—
232C2×#237—101no—
233C2×C3×SD16C2×D511yescharacteristic
234C2×C3×SD16C2×D511yescharacteristic
235C3×#121C2×D511yescharacteristic
236#946—51no—
237#946—101no—
238Q8×Dic3—51no—
239#944—51no—
240#944—101no—
241#938—51no—
242#935—101no—
243D4×Dic3—51no—
244C2×#214—51no—
245C4×#67—51no—
246C4×#67—101no—
247C2×C4⋊Dic3—51no—
248#924—51no—
249#924—101no—
250C22×C3⋊C8—51no—
251C2×D3×C8—51no—
252D3×C4⋊C4—51no—
253#888—51no—
254#883—101no—
255#878—101no—
256C3×#103C2×D511yescharacteristic
257C3×#103C2×D511yescharacteristic
258C3×C22⋊C8C2×D511yescharacteristic
259#835—51no—
260#835—51no—
261#835—51no—
262#835—51no—
263#832—51no—
264(C2×D3)⋊C8—51no—
265#817—51no—
266#817—51no—
267#816—51no—
268#816—51no—
269Dic3⋊C8—51no—
270C8×Dic3—51no—
271#810—51no—
272#808—51no—
273C2×C5×Q8—21no—
274C2×C5×Q8—22no—
275C2×C5×Q8—41no—
276C2×C5×Q8C22×D311yescharacteristic
277C2×C5×Q8C22×D311yescharacteristic
278C2×C5×D4—21no—
279C2×C5×D4C22×D311yescharacteristic
280C22×C4×C5—21no—
281C22×C4×C5C22×D311yescharacteristic
282C2×C22⋊D5—31no—
283C2×C22⋊D5—61no—
284C22×Dic5—61no—
285C22×Dic5—61no—
286Q8×D5—62no—
287Q8×D5—121no—
288#711—124no—
289C2×C4×D5—31no—
290C2×C4×D5—61no—
291C2×C4×D5—61no—
292C2×Dic10—31no—
293C2×Dic10—61no—
294C2×Dic10—61no—
295C5×SD16—22no—
296C5×SD16—41no—
297C2×C5×C8C22×D311yescharacteristic
298C2×C5×C8C22×D311yescharacteristic
299C5×C4⋊C4C22×D311yescharacteristic
300C5×C22⋊C4—21no—
301C22⋊Dic5—31no—
302C22⋊Dic5—61no—
303C22⋊Dic5—61no—
304C22⋊Dic5—61no—
305#687—121no—
306#685—31no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5—31no—
311C4⋊Dic5—61no—
312C4⋊Dic5—61no—
313#683—31no—
314#683—61no—
315#683—61no—
316#683—61no—
317#683—61no—
318#683—61no—
319#683—61no—
320C4×Dic5—31no—
321C4×Dic5—61no—
322C2×#168—31no—
323C2×#168—31no—
324C2×#168—121no—
325C8×D5—121no—
326D4×Q8—151no—
327#547—151no—
328#487—151no—
329#483—151no—
330#483—151no—
331#475—151no—
332#465—151no—
333#465—151no—
334#461—151no—
335#448—151no—
336#448D1511yescharacteristic, complemented
337C4×SD16—151no—
338C8×D4—151no—
339C2×#103—151no—
340C2×#103—151no—
341C22×C3×C5—21no—
342C22×C3×C5—21no—
343C22×C3×C5—41no—
344C22×C3×C5—41no—
345C22×C3×C5—41no—
346C22×C3×C5C2×SD1612yes—
347C22×C3×C5C22×D411yescharacteristic
348C2×D15—21no—
349C2×D15—21no—
350C2×D15C2×SD1612yes—
351C3×C4×C5—22no—
352C3×C4×C5—21no—
353C3×C4×C5—41no—
354C3×C4×C5—41no—
355C3×C4×C5C2×#4111yescharacteristic
356C3×C4×C5H(5,𝔽2)11yescharacteristic
357Dic15—21no—
358Dic15—21no—
359Dic15—41no—
360Dic15—41no—
361Dic15—41no—
362Dic15—41no—
363Dic15C2×SD1612yes—
364C2×C3×Q8—21no—
365C2×C3×Q8—22no—
366C2×C3×Q8—41no—
367C2×C3×Q8C22×D511yescharacteristic
368C2×C3×Q8C22×D511yescharacteristic
369C2×C3×D4—21no—
370C2×C3×D4C22×D511yescharacteristic
371C22×C3×C4—21no—
372C22×C3×C4C22×D511yescharacteristic
373C2×#67—51no—
374C2×#67—101no—
375C22×Dic3—101no—
376C22×Dic3—101no—
377D3×Q8—102no—
378D3×Q8—201no—
379#237—204no—
380C2×C4×D3—51no—
381C2×C4×D3—101no—
382C2×C4×D3—101no—
383C2×Dic6—51no—
384C2×Dic6—101no—
385C2×Dic6—101no—
386C3×SD16—22no—
387C3×SD16—41no—
388C2×C3×C8C22×D511yescharacteristic
389C2×C3×C8C22×D511yescharacteristic
390C3×C4⋊C4C22×D511yescharacteristic
391C3×C22⋊C4—21no—
392#217—51no—
393#217—101no—
394#217—101no—
395#217—101no—
396#214—201no—
397(C2×D3)⋊C4—51no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—51no—
401C4⋊Dic3—51no—
402C4⋊Dic3—101no—
403C4⋊Dic3—101no—
404Dic3⋊C4—51no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408Dic3⋊C4—101no—
409Dic3⋊C4—101no—
410Dic3⋊C4—101no—
411C4×Dic3—51no—
412C4×Dic3—101no—
413C2×C3⋊C8—51no—
414C2×C3⋊C8—51no—
415C2×C3⋊C8—201no—
416D3×C8—201no—
417C23×C5—21no—
418C23×C5D3×D411yescharacteristic
419C22×D5—31no—
420C5×Q8—21no—
421C5×Q8—21no—
422C5×Q8—21no—
423C5×Q8—42no—
424C5×Q8#23712yescomplemented
425C5×D4—21no—
426C5×D4—21no—
427C5×D4—42no—
428C2×C4×C5—21no—
429C2×C4×C5—21no—
430C2×C4×C5—21no—
431C2×C4×C5—21no—
432C2×C4×C5—21no—
433C2×C4×C5—42no—
434C2×C4×C5D3×D411yescharacteristic
435C2×C4×C5C23×D311yescharacteristic
436C22⋊D5—34no—
437C22⋊D5—122no—
438C2×Dic5—31no—
439C2×Dic5—31no—
440C2×Dic5—31no—
441C2×Dic5—61no—
442C2×Dic5—61no—
443C2×Dic5—61no—
444C2×Dic5—61no—
445C2×Dic5—122no—
446C2×Dic5—122no—
447C4×D5—61no—
448C4×D5—61no—
449C4×D5—122no—
450C4×D5—122no—
451Dic10—61no—
452Dic10—61no—
453Dic10—122no—
454Dic10—122no—
455C5×C8—21no—
456C5×C8—21no—
457#168—61no—
458#168—61no—
459C2×#41—301no—
460C22×Q8—151no—
461C22×Q8C2×D1511yescharacteristic
462C2×SD16—151no—
463C2×SD16C2×D1511yescharacteristic
464C2×SD16C2×D1511yescharacteristic
465C22×C8—151no—
466C22×C8—151no—
467C4⋊Q8—151no—
468C4⋊Q8—151no—
469C4⋊Q8—301no—
470#123—301no—
471#123—301no—
472C22⋊Q8—151no—
473C22⋊Q8—151no—
474C22⋊Q8—301no—
475C22⋊Q8—301no—
476C22⋊Q8—301no—
477#121—151no—
478#121C2×D1511yescharacteristic
479C4×Q8—151no—
480C4×D4—151no—
481C4×D4—151no—
482C4×D4—301no—
483C2×C4⋊C4—151no—
484C2×C4⋊C4—151no—
485#106—151no—
486#106—151no—
487#106—151no—
488C4⋊C8—151no—
489#103—151no—
490#103—151no—
491#103—151no—
492#103—151no—
493#103—151no—
494#103—151no—
495#103—151no—
496#103C2×D1511yescharacteristic
497#103C2×D1511yescharacteristic
498#102—151no—
499C22⋊C8—151no—
500C22⋊C8C2×D1511yescharacteristic
501C4×C8—151no—
502C2×C3×C5—22no—
503C2×C3×C5—81no—
504C2×C3×C5#54611yescharacteristic
505C2×C3×C5C22×SD1611yescharacteristic
506C2×C3×C5#57811yescharacteristic
507D15—22no—
508C23×C3—21no—
509C23×C3D4×D511yescharacteristic
510C22×D3—51no—
511C3×Q8—21no—
512C3×Q8—21no—
513C3×Q8—21no—
514C3×Q8—42no—
515C3×Q8#71112yescomplemented
516C3×D4—21no—
517C3×D4—21no—
518C3×D4—42no—
519C2×C3×C4—21no—
520C2×C3×C4—21no—
521C2×C3×C4—21no—
522C2×C3×C4—21no—
523C2×C3×C4—21no—
524C2×C3×C4—42no—
525C2×C3×C4D4×D511yescharacteristic
526C2×C3×C4C23×D511yescharacteristic
527#67—54no—
528#67—202no—
529C2×Dic3—51no—
530C2×Dic3—51no—
531C2×Dic3—51no—
532C2×Dic3—101no—
533C2×Dic3—101no—
534C2×Dic3—101no—
535C2×Dic3—101no—
536C2×Dic3—202no—
537C2×Dic3—202no—
538C4×D3—101no—
539C4×D3—101no—
540C4×D3—202no—
541C4×D3—202no—
542Dic6—101no—
543Dic6—101no—
544Dic6—202no—
545Dic6—202no—
546C3×C8—21no—
547C3×C8—21no—
548C3⋊C8—101no—
549C3⋊C8—101no—
550C22×C5—21no—
551C22×C5—21no—
552C22×C5—41no—
553C22×C5—41no—
554C22×C5—41no—
555C22×C5D3×SD1612yes—
556C22×C5C2×D3×D411yescharacteristic
557C2×D5—32no—
558C2×D5—61no—
559C2×D5—61no—
560C4×C5—22no—
561C4×C5—21no—
562C4×C5—41no—
563C4×C5—41no—
564C4×C5C2×#23711yescharacteristic
565C4×C5#100411yescharacteristic
566Dic5—32no—
567Dic5—61no—
568Dic5—61no—
569Dic5—121no—
570Dic5—121no—
571Dic5—121no—
572Dic5—121no—
573#41—604no—
574C2×Q8—21no—
575C2×Q8—22no—
576C2×Q8—41no—
577C2×Q8—151no—
578C2×Q8—301no—
579C2×Q8—301no—
580C2×Q8—302no—
581C2×Q8—601no—
582C2×Q8C22×D1511yescharacteristic
583C2×Q8C22×D1511yescharacteristic
584C2×D4—21no—
585C2×D4—151no—
586C2×D4—301no—
587C2×D4C22×D1511yescharacteristic
588C22×C4—21no—
589C22×C4—151no—
590C22×C4—301no—
591C22×C4—301no—
592C22×C4—301no—
593C22×C4—301no—
594C22×C4C22×D1511yescharacteristic
595SD16—22no—
596SD16—41no—
597SD16—601no—
598C2×C8—151no—
599C2×C8—151no—
600C2×C8—601no—
601C2×C8—601no—
602C2×C8C22×D1511yescharacteristic
603C2×C8C22×D1511yescharacteristic
604C4⋊C4—151no—
605C4⋊C4—151no—
606C4⋊C4—151no—
607C4⋊C4—151no—
608C4⋊C4—301no—
609C4⋊C4—301no—
610C4⋊C4—301no—
611C4⋊C4—301no—
612C4⋊C4—301no—
613C4⋊C4—301no—
614C4⋊C4—301no—
615C4⋊C4—301no—
616C4⋊C4C22×D1511yescharacteristic
617C22⋊C4—21no—
618C22⋊C4—151no—
619C22⋊C4—151no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C22⋊C4—301no—
624C42—151no—
625C42—301no—
626C3×C5#329811yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—41no—
630C22×C3—41no—
631C22×C3—41no—
632C22×C3D5×SD1612yes—
633C22×C3C2×D4×D511yescharacteristic
634C2×D3—52no—
635C2×D3—101no—
636C2×D3—101no—
637C3×C4—22no—
638C3×C4—21no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4C2×#71111yescharacteristic
642C3×C4#414411yescharacteristic
643Dic3—52no—
644Dic3—101no—
645Dic3—101no—
646Dic3—201no—
647Dic3—201no—
648Dic3—201no—
649Dic3—201no—
650C2×C5—22no—
651C2×C5—81no—
652C2×C5#559111yescharacteristic
653C2×C5C2×D3×SD1611yescharacteristic
654C2×C5#577911yescharacteristic
655D5—62no—
656C23—21no—
657C23—151no—
658C23D4×D1511yescharacteristic
659Q8—21no—
660Q8—21no—
661Q8—21no—
662Q8—42no—
663Q8—301no—
664Q8—301no—
665Q8—602no—
666Q8—602no—
667Q8#681912yescomplemented
668D4—21no—
669D4—21no—
670D4—42no—
671D4—154no—
672D4—602no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—42no—
679C2×C4—151no—
680C2×C4—151no—
681C2×C4—151no—
682C2×C4—301no—
683C2×C4—301no—
684C2×C4—301no—
685C2×C4—301no—
686C2×C4—301no—
687C2×C4—301no—
688C2×C4—602no—
689C2×C4—602no—
690C2×C4—602no—
691C2×C4—602no—
692C2×C4D4×D1511yescharacteristic
693C2×C4C23×D1511yescharacteristic
694C8—21no—
695C8—21no—
696C8—301no—
697C8—301no—
698C2×C3—22no—
699C2×C3—81no—
700C2×C3#6592511yescharacteristic
701C2×C3C2×D5×SD1611yescharacteristic
702C2×C3#6611311yescharacteristic
703D3—102no—
704C5#8004911yescharacteristic, complemented, Sylow
705C22—21no—
706C22—21no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—152no—
711C22—301no—
712C22—301no—
713C22SD16×D1512yes—
714C22C2×D4×D1511yescharacteristic
715C4—21no—
716C4—22no—
717C4—41no—
718C4—41no—
719C4—152no—
720C4—301no—
721C4—301no—
722C4—601no—
723C4—601no—
724C4—601no—
725C4—601no—
726C4C2×#681911yescharacteristic
727C4#9209511yescharacteristic
728C3#1061178011yescharacteristic, complemented, Sylow
729C2—22no—
730C2—81no—
731C2—302no—
732C2#1175635011yescharacteristic
733C2C2×SD16×D1511yescharacteristic
734C2#1175653811yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#448C2
socleC22×C3×C5C22×D4
prime radical#11756370C2
hypercenter#448D15
hypocenterC3×C5#3298
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #448

Complements

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

NH ≅ G/Ntype
1. Q8×#1220C2semidirect
3. C3×C5×#448C2semidirect
4. C2×#91119C2semidirect
5. #11751272C2semidirect
6. #11751271C2semidirect
7. #11751263C2semidirect
8. SD16×Dic15C2semidirect
9. #11751142C2semidirect
10. #11750906C2semidirect
11. D15×#103C2semidirect
12. #11750893C2semidirect
13. #11750892C2semidirect
14. #11750826C2semidirect
15. #11750822C2semidirect
63. C5×#448D3semidirect
131. C3×#448D5semidirect
195. C3×C5×Q8#41semidirect
208. #1220SD16semidirect
336. #448D15semidirect
424. C5×Q8#237semidirect
515. C3×Q8#711semidirect
626. C3×C5#3298semidirect
667. Q8#6819semidirect
704. C5#80049semidirect
728. C3#10611780semidirect

Maximal subgroups

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

subgroupindex
Q8×#12202
#117563702
C3×C5×#4482
C2×#911192
#117512722
#117512712
#117512632
SD16×Dic152
#117511422
#117509062
D15×#1032
#117508932
#117508922
#117508262
#117508222
#106117803
#800495