Finite Group Databasebeta

← #14424650

Subgroups — #14424650

Order 1920.

1528 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92095C211yesmaximal, characteristic, complemented
2C2×C3×C5×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
3#11756592C211yesmaximal, characteristic, complemented
4C2×#91839C211yesmaximal, characteristic, complemented
5C2×#91116C211yesmaximal, characteristic, complemented
6#11751274C212yesmaximal, complemented
7#11751270C212yesmaximal, complemented
8#11751259C212yesmaximal, complemented
9#11751257C212yesmaximal, complemented
10#11751234C211yesmaximal, characteristic, complemented
11#11751230C211yesmaximal, characteristic, complemented
12#10615680—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic, complemented
14C22×C3×C5×D4C2211yescharacteristic
15C22×#1220—22no—
16#92095—24no—
17#92095—24no—
18C2×#6819—21no—
19C2×#6819C2212yes—
20C2×D4×D15—21no—
21C2×D4×D15C2212yes—
22C2×#6817C2211yescharacteristic
23C2×#6817C2211yescharacteristic
24C3×C5×AGL(1,ℤ/8)—24no—
25C2×C3×C5×SD16C2212yescomplemented
26C2×C3×C5×D8C2212yescomplemented
27C2×C3×C5×M16C2211yescharacteristic, complemented
28#91839—24no—
29#91835C2212yescomplemented
30C2×#6718C2211yescharacteristic, complemented
31C2×#6717C2211yescharacteristic, complemented
32#91828—22no—
33#91827C2212yescomplemented
34C2×#6716C2211yescharacteristic, complemented
35C2×#6715C2211yescharacteristic, complemented
36#91819—21no—
37C2×C4⋊Dic15C2211yescharacteristic, complemented
38#91813—21no—
39C22×C3⋊#168C2211yescharacteristic, complemented
40#91116C2212yescomplemented
41#91116C2212yescomplemented
42#91105C2212yescomplemented
43#91104C2212yescomplemented
44#91104C2212yescomplemented
45#91100C2212yescomplemented
46#83949—51nomaximal, Hall
47C2×#4144—31no—
48C2×C5×AGL(1,ℤ/8)D311yescharacteristic, complemented
49#66167—31no—
50C2×#4096—31no—
51C2×#3964—31no—
52#65462—32no—
53#65458—32no—
54#65447—32no—
55#65445—32no—
56#65422—31no—
57#65418—31no—
58C24×C3×C5—21no—
59C23×D15—22no—
60C3×C5×#41—22no—
61C3×C5×#41—22no—
62C2×C3×C5×Q8C2311yescharacteristic
63C2×C3×C5×D4—21no—
64C2×C3×C5×D4—21no—
65C2×C3×C5×D4—22no—
66C2×C3×C5×D4D414yescomplemented
67C2×C3×C5×D4C2311yescharacteristic
68C2×C3×C5×D4C2312yes—
69C22×C3×C4×C5—21no—
70C22×C3×C4×C5C2311yescharacteristic
71C2×#1220—216no—
72C2×#1220—21no—
73C2×#1220—22no—
74C2×#1220—22no—
75C2×#1220—22no—
76C2×#1220D412yes—
77C22×Dic15—22no—
78C22×Dic15—21no—
79#6819—28no—
80#6819—24no—
81#6819—24no—
82D4×D15—28no—
83D4×D15—24no—
84D4×D15—24no—
85#6817—22no—
86#6817—22no—
87#6817—22no—
88#6817D414yescomplemented
89C2×D60D411yescharacteristic
90C2×D60C2311yescharacteristic
91C2×C4×D15—21no—
92C2×C4×D15C2312yes—
93C2×Dic30D411yescharacteristic
94C2×Dic30C2311yescharacteristic
95C3×C5×SD16—24no—
96C3×C5×D8—24no—
97C3×C5×M16—22no—
98C2×C3×C5×C8C2312yes—
99#6719—22no—
100#6718—22no—
101#6717—22no—
102#6716—22no—
103#6715—22no—
104#6714—22no—
105C4⋊Dic15—21no—
106C4⋊Dic15C2312yes—
107#6712—22no—
108C2×C3⋊#168—22no—
109C2×C3⋊#168C2311yescharacteristic
110C2×C3⋊#168C2311yescharacteristic
111C2×#1004—51no—
112C2×C3×AGL(1,ℤ/8)D511yescharacteristic, complemented
113#5833—51no—
114C2×#950—51no—
115C2×#832—51no—
116#5173—52no—
117#5169—52no—
118#5158—52no—
119#5156—52no—
120#5133—51no—
121#5129—51no—
122C2×C5×#41C2×D311yescharacteristic, complemented
123C22×C5×D4C2×D311yescharacteristic
124C22×C22⋊D5—62no—
125#4144—64no—
126#4144—64no—
127C2×#711—32no—
128C2×#711—61no—
129C2×D4×D5—32no—
130C2×D4×D5—61no—
131C2×#709—31no—
132C2×#709—31no—
133C5×AGL(1,ℤ/8)—24no—
134C2×C5×SD16C2×D312yescomplemented
135C2×C5×D8C2×D312yescomplemented
136C2×C5×M16C2×D311yescharacteristic, complemented
137#4096—64no—
138#4092—32no—
139C2×#689—31no—
140C2×#688—31no—
141#4085—62no—
142#4084—32no—
143C2×#687—31no—
144C2×#686—31no—
145#4076—61no—
146C2×C4⋊Dic5—31no—
147#4070—61no—
148C22×#168—31no—
149#3964—32no—
150#3964—32no—
151#3953—32no—
152#3952—32no—
153#3952—32no—
154#3948—32no—
155#3012—151noSylow
156C23×C3×C5—22no—
157C23×C3×C5—24no—
158C23×C3×C5—21no—
159C23×C3×C5—81no—
160C23×C3×C5—81no—
161C23×C3×C5C2×D411yescharacteristic
162C22×D15—21no—
163C22×D15—28no—
164C22×D15—82no—
165C22×D15—82no—
166C22×D15C2×D412yes—
167C3×C5×Q8—21no—
168C3×C5×Q8—21no—
169C3×C5×D4—24no—
170C3×C5×D4—22no—
171C3×C5×D4—21no—
172C3×C5×D4—21no—
173C3×C5×D4—42no—
174C3×C5×D4C2×D414yes—
175C2×C3×C4×C5—21no—
176C2×C3×C4×C5—42no—
177C2×C3×C4×C5C2×D411yescharacteristic
178C2×C3×C4×C5C2×D412yes—
179C2×C3×C4×C5C2×D412yes—
180C2×C3×C4×C5C2411yescharacteristic
181#1220—28no—
182#1220—28no—
183#1220—24no—
184#1220—24no—
185#1220—82no—
186C2×Dic15—28no—
187C2×Dic15—21no—
188C2×Dic15—22no—
189C2×Dic15—81no—
190C2×Dic15C2×D412yes—
191D60—22no—
192D60—21no—
193D60C2×D412yes—
194C4×D15—24no—
195C4×D15—22no—
196C4×D15—22no—
197Dic30—22no—
198Dic30—21no—
199Dic30C2×D412yes—
200C3×C5×C8—22no—
201C3⋊#168—21no—
202C3⋊#168—21no—
203C2×C3×#41C2×D511yescharacteristic, complemented
204C22×C3×D4C2×D511yescharacteristic
205C22×#67—102no—
206#1004—104no—
207#1004—104no—
208C2×#237—52no—
209C2×#237—101no—
210C2×D3×D4—52no—
211C2×D3×D4—101no—
212C2×#235—51no—
213C2×#235—51no—
214C3×AGL(1,ℤ/8)—24no—
215C2×C3×SD16C2×D512yescomplemented
216C2×C3×D8C2×D512yescomplemented
217C2×C3×M16C2×D511yescharacteristic, complemented
218#950—104no—
219#946—52no—
220C2×#216—51no—
221C2×#215—51no—
222#939—102no—
223#938—52no—
224C2×#214—51no—
225C2×#213—51no—
226#930—101no—
227C2×C4⋊Dic3—51no—
228#924—101no—
229C22×C3⋊C8—51no—
230#832—52no—
231#832—52no—
232#821—52no—
233(C2×D3)⋊C8—52no—
234(C2×D3)⋊C8—52no—
235#816—52no—
236C24×C5—21no—
237C23×D5—62no—
238C5×#41—22no—
239C5×#41—22no—
240C2×C5×Q8C22×D311yescharacteristic
241C2×C5×D4—21no—
242C2×C5×D4—21no—
243C2×C5×D4—22no—
244C2×C5×D4#6714yescomplemented
245C2×C5×D4C22×D311yescharacteristic
246C2×C5×D4C22×D312yes—
247C22×C4×C5—21no—
248C22×C4×C5C22×D311yescharacteristic
249C2×C22⋊D5—32no—
250C2×C22⋊D5—62no—
251C2×C22⋊D5—62no—
252C2×C22⋊D5—616no—
253C2×C22⋊D5—61no—
254C2×C22⋊D5—62no—
255C22×Dic5—62no—
256C22×Dic5—61no—
257#711—64no—
258#711—68no—
259#711—64no—
260D4×D5—64no—
261D4×D5—68no—
262D4×D5—64no—
263#709—34no—
264#709—62no—
265#709—62no—
266#709—62no—
267C2×D20—31no—
268C2×D20—31no—
269C2×C4×D5—32no—
270C2×C4×D5—61no—
271C2×Dic10—31no—
272C2×Dic10—31no—
273C5×SD16—24no—
274C5×D8—24no—
275C5×M16—22no—
276C2×C5×C8C22×D312yes—
277C22⋊Dic5—62no—
278#689—62no—
279#688—62no—
280#687—62no—
281#686—62no—
282#685—62no—
283C4⋊Dic5—32no—
284C4⋊Dic5—61no—
285#683—62no—
286C2×#168—31no—
287C2×#168—31no—
288C2×#168—62no—
289C2×H(5,𝔽2)—151no—
290C2×AGL(1,ℤ/8)D1511yescharacteristic, complemented
291C2×#135—151no—
292#537—151no—
293#452—152no—
294#450—152no—
295#449—152no—
296#447—152no—
297#417—151no—
298C2×#102—151no—
299#408—151no—
300C22×C3×C5—21no—
301C22×C3×C5—21no—
302C22×C3×C5—24no—
303C22×C3×C5—42no—
304C22×C3×C5—42no—
305C22×C3×C5—41no—
306C22×C3×C5—41no—
307C22×C3×C5—41no—
308C22×C3×C5—84no—
309C22×C3×C5#12012yes—
310C22×C3×C5C22×D411yescharacteristic
311C2×D15—22no—
312C2×D15—22no—
313C2×D15—22no—
314C2×D15—22no—
315C2×D15—41no—
316C2×D15—41no—
317C2×D15—88no—
318C3×C4×C5—41no—
319C3×C4×C5#12012yes—
320C3×C4×C5C22×D411yescharacteristic
321C3×C4×C5C22×D411yescharacteristic
322Dic15—22no—
323Dic15—22no—
324Dic15—42no—
325C24×C3—21no—
326C23×D3—102no—
327C3×#41—22no—
328C3×#41—22no—
329C2×C3×Q8C22×D511yescharacteristic
330C2×C3×D4—21no—
331C2×C3×D4—21no—
332C2×C3×D4—22no—
333C2×C3×D4C22⋊D514yescomplemented
334C2×C3×D4C22×D511yescharacteristic
335C2×C3×D4C22×D512yes—
336C22×C3×C4—21no—
337C22×C3×C4C22×D511yescharacteristic
338C2×#67—52no—
339C2×#67—102no—
340C2×#67—102no—
341C2×#67—1016no—
342C2×#67—101no—
343C2×#67—102no—
344C22×Dic3—102no—
345C22×Dic3—101no—
346#237—104no—
347#237—108no—
348#237—104no—
349D3×D4—104no—
350D3×D4—108no—
351D3×D4—104no—
352#235—54no—
353#235—102no—
354#235—102no—
355#235—102no—
356C2×D12—51no—
357C2×D12—51no—
358C2×C4×D3—52no—
359C2×C4×D3—101no—
360C2×Dic6—51no—
361C2×Dic6—51no—
362C3×SD16—24no—
363C3×D8—24no—
364C3×M16—22no—
365C2×C3×C8C22×D512yes—
366#217—102no—
367#216—102no—
368#215—102no—
369#214—102no—
370#213—102no—
371(C2×D3)⋊C4—102no—
372C4⋊Dic3—52no—
373C4⋊Dic3—101no—
374Dic3⋊C4—102no—
375C2×C3⋊C8—51no—
376C2×C3⋊C8—51no—
377C2×C3⋊C8—102no—
378C23×C5—22no—
379C23×C5—24no—
380C23×C5—21no—
381C23×C5—81no—
382C23×C5—81no—
383C23×C5D3×D411yescharacteristic
384C22×D5—32no—
385C22×D5—61no—
386C22×D5—68no—
387C22×D5—242no—
388C22×D5—242no—
389C5×Q8—21no—
390C5×Q8—21no—
391C5×D4—24no—
392C5×D4—22no—
393C5×D4—21no—
394C5×D4—21no—
395C5×D4—42no—
396C5×D4C2×#6714yes—
397C2×C4×C5—21no—
398C2×C4×C5—42no—
399C2×C4×C5D3×D411yescharacteristic
400C2×C4×C5D3×D412yes—
401C2×C4×C5C2×#6712yes—
402C2×C4×C5C23×D311yescharacteristic
403C22⋊D5—68no—
404C22⋊D5—68no—
405C22⋊D5—64no—
406C22⋊D5—64no—
407C22⋊D5—242no—
408C2×Dic5—32no—
409C2×Dic5—68no—
410C2×Dic5—61no—
411C2×Dic5—62no—
412C2×Dic5—241no—
413D20—32no—
414D20—62no—
415D20—61no—
416C4×D5—64no—
417C4×D5—62no—
418C4×D5—62no—
419Dic10—32no—
420Dic10—62no—
421Dic10—61no—
422C5×C8—22no—
423#168—61no—
424#168—61no—
425H(5,𝔽2)—304no—
426H(5,𝔽2)—304no—
427C2×#41—151no—
428C2×#41—152no—
429C2×#41—151no—
430C2×#41—301no—
431C2×#41C2×D1511yescharacteristic, complemented
432C22×D4—152no—
433C22×D4—301no—
434C22×D4—302no—
435C22×D4C2×D1511yescharacteristic
436AGL(1,ℤ/8)—24no—
437#135—304no—
438C2×Q16—151no—
439C2×SD16—151no—
440C2×SD16—151no—
441C2×SD16C2×D1512yescomplemented
442C2×D8—151no—
443C2×D8C2×D1512yescomplemented
444C2×M16C2×D1511yescharacteristic, complemented
445C22×C8—151no—
446C22⋊Q8—152no—
447C22⋊Q8—301no—
448#121—152no—
449#121—301no—
450#121—302no—
451C2×C4⋊C4—151no—
452#103—152no—
453#102—152no—
454#102—152no—
455#102—152no—
456C22⋊C8—152no—
457C22⋊C8—152no—
458C2×C3×C5—22no—
459C2×C3×C5—44no—
460C2×C3×C5—81no—
461C2×C3×C5C2×#12011yescharacteristic
462C2×C3×C5#57611yescharacteristic
463C2×C3×C5#57711yescharacteristic
464D15—42no—
465D15—42no—
466C23×C3—22no—
467C23×C3—24no—
468C23×C3—21no—
469C23×C3—81no—
470C23×C3—81no—
471C23×C3D4×D511yescharacteristic
472C22×D3—52no—
473C22×D3—101no—
474C22×D3—108no—
475C22×D3—402no—
476C22×D3—402no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×D4—22no—
480C3×D4—21no—
481C3×D4—21no—
482C3×D4—24no—
483C3×D4—42no—
484C3×D4C2×C22⋊D514yes—
485C2×C3×C4—21no—
486C2×C3×C4—42no—
487C2×C3×C4D4×D512yes—
488C2×C3×C4D4×D511yescharacteristic
489C2×C3×C4C2×C22⋊D512yes—
490C2×C3×C4C23×D511yescharacteristic
491#67—108no—
492#67—108no—
493#67—104no—
494#67—104no—
495#67—402no—
496C2×Dic3—52no—
497C2×Dic3—108no—
498C2×Dic3—101no—
499C2×Dic3—102no—
500C2×Dic3—401no—
501D12—52no—
502D12—101no—
503D12—102no—
504C4×D3—102no—
505C4×D3—102no—
506C4×D3—104no—
507Dic6—52no—
508Dic6—101no—
509Dic6—102no—
510C3×C8—22no—
511C3⋊C8—101no—
512C3⋊C8—101no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—24no—
516C22×C5—42no—
517C22×C5—42no—
518C22×C5—41no—
519C22×C5—41no—
520C22×C5—41no—
521C22×C5—84no—
522C22×C5#93712yes—
523C22×C5C2×D3×D411yescharacteristic
524C2×D5—62no—
525C2×D5—62no—
526C2×D5—62no—
527C2×D5—62no—
528C2×D5—121no—
529C2×D5—121no—
530C2×D5—248no—
531C4×C5—41no—
532C4×C5#93712yes—
533C4×C5C2×D3×D411yescharacteristic
534C4×C5C22×#6711yescharacteristic
535Dic5—62no—
536Dic5—62no—
537Dic5—122no—
538C24—21no—
539C24—302no—
540#41—22no—
541#41—22no—
542#41—154no—
543#41—304no—
544#41—308no—
545#41—304no—
546#41—302no—
547#41—302no—
548#41—302no—
549C2×Q8—151no—
550C2×Q8—151no—
551C2×Q8C22×D1511yescharacteristic
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—22no—
555C2×D4—152no—
556C2×D4—151no—
557C2×D4—151no—
558C2×D4—302no—
559C2×D4—304no—
560C2×D4—308no—
561C2×D4—302no—
562C2×D4—3016no—
563C2×D4—301no—
564C2×D4—304no—
565C2×D4—302no—
566C2×D4#122014yescomplemented
567C2×D4C22×D1511yescharacteristic
568C2×D4C22×D1512yes—
569C22×C4—21no—
570C22×C4—152no—
571C22×C4—302no—
572C22×C4—301no—
573C22×C4—301no—
574C22×C4C22×D1511yescharacteristic
575Q16—302no—
576SD16—24no—
577SD16—302no—
578SD16—302no—
579D8—24no—
580D8—302no—
581M16—22no—
582C2×C8—151no—
583C2×C8—151no—
584C2×C8—302no—
585C2×C8C22×D1512yes—
586C4⋊C4—152no—
587C4⋊C4—302no—
588C4⋊C4—301no—
589C22⋊C4—302no—
590C22⋊C4—302no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—24no—
595C22×C3—42no—
596C22×C3—42no—
597C22×C3—41no—
598C22×C3—41no—
599C22×C3—41no—
600C22×C3—84no—
601C22×C3#408312yes—
602C22×C3C2×D4×D511yescharacteristic
603C2×D3—102no—
604C2×D3—102no—
605C2×D3—102no—
606C2×D3—102no—
607C2×D3—201no—
608C2×D3—201no—
609C2×D3—408no—
610C3×C4—41no—
611C3×C4#408312yes—
612C3×C4C2×D4×D511yescharacteristic
613C3×C4C22×C22⋊D511yescharacteristic
614Dic3—102no—
615Dic3—102no—
616Dic3—202no—
617C2×C5—22no—
618C2×C5—44no—
619C2×C5—81no—
620C2×C5#577411yescharacteristic
621C2×C5#577511yescharacteristic
622C2×C5C2×#93711yescharacteristic
623D5—122no—
624D5—122no—
625C23—22no—
626C23—24no—
627C23—21no—
628C23—81no—
629C23—81no—
630C23—152no—
631C23—308no—
632C23—301no—
633C23—1202no—
634C23—1202no—
635C23D4×D1511yescharacteristic
636Q8—21no—
637Q8—21no—
638Q8—152no—
639Q8—302no—
640Q8—301no—
641D4—24no—
642D4—22no—
643D4—21no—
644D4—21no—
645D4—42no—
646D4—152no—
647D4—308no—
648D4—308no—
649D4—304no—
650D4—304no—
651D4—302no—
652D4—301no—
653D4—1202no—
654D4C2×#122014yes—
655C2×C4—21no—
656C2×C4—42no—
657C2×C4—152no—
658C2×C4—308no—
659C2×C4—301no—
660C2×C4—304no—
661C2×C4—302no—
662C2×C4—302no—
663C2×C4—302no—
664C2×C4—1201no—
665C2×C4D4×D1511yescharacteristic
666C2×C4D4×D1512yes—
667C2×C4C2×#122012yes—
668C2×C4C23×D1511yescharacteristic
669C8—22no—
670C8—301no—
671C8—301no—
672C2×C3—22no—
673C2×C3—44no—
674C2×C3—81no—
675C2×C3#6610811yescharacteristic
676C2×C3#6610911yescharacteristic
677C2×C3C2×#408311yescharacteristic
678D3—202no—
679D3—202no—
680C5#8394911yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—24no—
684C22—42no—
685C22—42no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—84no—
690C22—302no—
691C22—302no—
692C22—302no—
693C22—302no—
694C22—601no—
695C22—601no—
696C22—1208no—
697C22#9182612yes—
698C22C2×D4×D1511yescharacteristic
699C4—41no—
700C4—302no—
701C4—302no—
702C4—602no—
703C4#9182612yes—
704C4C2×D4×D1511yescharacteristic
705C4C22×#122011yescharacteristic
706C3#1061568011yescharacteristic, complemented, Sylow
707C2—22no—
708C2—44no—
709C2—81no—
710C2—602no—
711C2—602no—
712C2#1175653311yescharacteristic
713C2#1175653411yescharacteristic
714C2C2×#9182611yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC2×C3×C5×AGL(1,ℤ/8)C2
socleC22×C3×C5C22×D4
hypercenterC2×AGL(1,ℤ/8)D15
hypocenterC3×C5#3012
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. C2×#92095C2semidirect
2. C2×C3×C5×AGL(1,ℤ/8)C2semidirect
3. #11756592C2semidirect
4. C2×#91839C2semidirect
5. C2×#91116C2semidirect
6. #11751274C2semidirect
7. #11751270C2semidirect
8. #11751259C2semidirect
9. #11751257C2semidirect
10. #11751234C2semidirect
11. #11751230C2semidirect
13. C2×C3×C5×#41C22semidirect
25. C2×C3×C5×SD16C22semidirect
26. C2×C3×C5×D8C22semidirect
27. C2×C3×C5×M16C22semidirect
29. #91835C22semidirect
30. C2×#6718C22semidirect
31. C2×#6717C22semidirect
33. #91827C22semidirect
34. C2×#6716C22semidirect
35. C2×#6715C22semidirect
37. C2×C4⋊Dic15C22semidirect
39. C22×C3⋊#168C22semidirect
40. #91116C22semidirect
41. #91116C22semidirect
42. #91105C22semidirect
43. #91104C22semidirect
44. #91104C22semidirect
45. #91100C22semidirect
48. C2×C5×AGL(1,ℤ/8)D3semidirect
66. C2×C3×C5×D4D4semidirect
88. #6817D4semidirect
112. C2×C3×AGL(1,ℤ/8)D5semidirect
122. C2×C5×#41C2×D3semidirect
134. C2×C5×SD16C2×D3semidirect
135. C2×C5×D8C2×D3semidirect
136. C2×C5×M16C2×D3semidirect
203. C2×C3×#41C2×D5semidirect
215. C2×C3×SD16C2×D5semidirect
216. C2×C3×D8C2×D5semidirect
217. C2×C3×M16C2×D5semidirect
244. C2×C5×D4#67semidirect
290. C2×AGL(1,ℤ/8)D15semidirect
333. C2×C3×D4C22⋊D5semidirect
431. C2×#41C2×D15semidirect
441. C2×SD16C2×D15semidirect
443. C2×D8C2×D15semidirect
444. C2×M16C2×D15semidirect
566. C2×D4#1220semidirect
591. C3×C5#3012semidirect
680. C5#83949semidirect
706. C3#10615680semidirect

Maximal subgroups

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

subgroupindex
C2×#920952
C2×C3×C5×AGL(1,ℤ/8)2
#117565922
C2×#918392
C2×#911162
#117512742
#117512702
#117512592
#117512572
#117512342
#117512302
#106156803
#839495