Finite Group Databasebeta

← #14412606

Subgroups — #14412606

Order 1920.

1544 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92016C211yesmaximal, characteristic
2C2×M16×D15C211yesmaximal, characteristic, complemented
3C2×#91347C211yesmaximal, characteristic, complemented
4C5×#5133C211yesmaximal, characteristic, complemented
5C3×#65422C211yesmaximal, characteristic, complemented
6#11748384C211yesmaximal, characteristic, complemented
7#11748368C211yesmaximal, characteristic, complemented
8#11748145C212yesmaximal, complemented
9#11748141C212yesmaximal, complemented
10#11748109C212yesmaximal, complemented
11#11747644C212yesmaximal, complemented
12#10610612—31nomaximal, Hall
13C22×C4×D15C2211yescharacteristic
14C2×C5×#235C2211yescharacteristic
15C2×C3×#709C2211yescharacteristic
16C2×#6790—21no—
17C2×#6780—21no—
18#92016—24no—
19#92016C418yescomplemented
20C2×#6777C2211yescharacteristic
21C2×C4×D3×D5—21no—
22C2×#6771—21no—
23C2×D15⋊Q8C2211yescharacteristic
24C2×#6768C2211yescharacteristic
25C2×#6766C2211yescharacteristic
26C2×C3×C5×M16C2211yescharacteristic, complemented
27C2×#6710C2211yescharacteristic, complemented
28M16×D15—24no—
29C2×#6705C2212yes—
30C2×C8×D15C2212yescomplemented
31C2×C5×C4⋊Dic3C2211yescharacteristic, complemented
32C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
33C2×#6667—21no—
34C2×Dic3×Dic5—21no—
35#91347—21no—
36#91347—21no—
37#91347C2212yes—
38#91347C2212yescomplemented
39C5×#821C2212yescomplemented
40C5×#816C2212yescomplemented
41C3×#3953C2212yescomplemented
42C3×#3948C2212yescomplemented
43#90972C2212yescomplemented
44#90970C2212yescomplemented
45#90966C2212yescomplemented
46#90964C2212yescomplemented
47#78881—51nomaximal, Hall
48C2×D5×#41—31no—
49C2×D5×M16—31no—
50C2×#4038—31no—
51C5×#417—31no—
52#65521—31no—
53#65422D311yescharacteristic, complemented
54#65255—31no—
55#65093—32no—
56#65091—32no—
57#65061—32no—
58#65059—32no—
59C23×D15D411yescharacteristic
60C22×D3×D5—21no—
61C22×C3×C4×C5C2311yescharacteristic
62C22×Dic15D411yescharacteristic
63C2×C4×D15C2×C414yes—
64C2×C4×D15D411yescharacteristic
65C2×C4×D15D411yescharacteristic
66C2×C4×D15D414yes—
67C2×C4×D15C2311yescharacteristic
68C2×C4×D15C2311yescharacteristic
69C2×C5×#67—21no—
70C22×C5×Dic3—21no—
71C5×#235—22no—
72C5×#235C2×C414yes—
73C2×C5×D12C2311yescharacteristic
74C2×C4×C5×D3—21no—
75C2×C5×Dic6C2311yescharacteristic
76C2×C3×C22⋊D5—21no—
77C22×C3×Dic5—21no—
78C3×#709—22no—
79C3×#709C2×C414yes—
80C2×C3×D20C2311yescharacteristic
81C2×C3×C4×D5—21no—
82C2×C3×Dic10C2311yescharacteristic
83#6790—28no—
84C2×#1204—21no—
85C2×#1203—21no—
86C2×#1202—21no—
87C2×#1201—21no—
88C2×#1200—21no—
89C2×D3×Dic5—21no—
90#6780—28no—
91C2×D5×Dic3—21no—
92#6777—22no—
93#6777C2×C414yescomplemented
94C4×D3×D5—28no—
95#6771—28no—
96D15⋊Q8—22no—
97D15⋊Q8C2×C414yescomplemented
98#6768—22no—
99#6768C2×C414yescomplemented
100#6766—22no—
101#6766C2×C414yescomplemented
102C3×C5×M16—22no—
103C2×C3×C5×C8C2312yes—
104#6710—22no—
105C2×C3⋊#168C2312yes—
106#6705—24no—
107C8×D15—24no—
108C5×C4⋊Dic3—21no—
109C5×C4⋊Dic3C2312yes—
110C3×C4⋊Dic5—21no—
111C3×C4⋊Dic5C2312yes—
112#6667—22no—
113#6667—22no—
114Dic3×Dic5—22no—
115Dic3×Dic5—22no—
116C2×D3×#41—51no—
117C2×D3×M16—51no—
118C2×#892—51no—
119C3×#417—51no—
120#5232—51no—
121#5133D511yescharacteristic, complemented
122#4966—51no—
123#4804—52no—
124#4802—52no—
125#4772—52no—
126#4770—52no—
127C2×C5×#41—31no—
128D5×#41—38no—
129D5×#41—64no—
130C2×#713—31no—
131C2×Q8×D5—31no—
132C2×#711—31no—
133C2×#711—61no—
134C2×D4×D5—31no—
135C2×D4×D5—61no—
136C2×#709—61no—
137C2×#709C2×D311yescharacteristic
138C22×C4×D5—31no—
139C22×C4×D5—61no—
140C2×C5×M16C2×D311yescharacteristic, complemented
141C2×C5×C4⋊C4—31no—
142C2×#685—61no—
143C2×C4⋊Dic5C2×D311yescharacteristic, complemented
144C2×C4×Dic5—61no—
145C2×#681—31no—
146D5×M16—64no—
147C2×#676—32no—
148C2×C8×D5—32no—
149#4038—32no—
150#4038—32no—
151#4038—61no—
152#4038—61no—
153C5×#103—32no—
154C5×#102—32no—
155#3967—32no—
156#3964—32no—
157#3953C2×D312yescomplemented
158#3948C2×D312yescomplemented
159#3942—32no—
160#3941—32no—
161#2896—151noSylow
162C23×C3×C5C2×D411yescharacteristic
163C22×D15—41no—
164C22×D15—41no—
165C22×D15C22⋊C414yes—
166C22×D15C2×D411yescharacteristic
167C22×D15C2×D411yescharacteristic
168C22×C5×D3—21no—
169C22×C3×D5—21no—
170C2×D3×D5—24no—
171C2×D3×D5—42no—
172C2×D3×D5—42no—
173C2×C3×C4×C5C22×C412yes—
174C2×C3×C4×C5C2×D411yescharacteristic
175C2×C3×C4×C5C2×D412yes—
176C2×C3×C4×C5C2411yescharacteristic
177C2×Dic15C22⋊C414yes—
178C2×Dic15C2×D411yescharacteristic
179C2×Dic15C2×D411yescharacteristic
180C4×D15C22⋊C414yes—
181C4×D15C22⋊C414yes—
182C4×D15C22×C412yes—
183C4×D15C22×C412yes—
184C4×D15C2×D412yes—
185C4×D15C2×D412yes—
186C5×#67—24no—
187C2×C5×Dic3—21no—
188C2×C5×Dic3—22no—
189C2×C5×Dic3—42no—
190C5×D12—21no—
191C5×D12C22×C412yes—
192C4×C5×D3—24no—
193C5×Dic6—21no—
194C5×Dic6C22×C412yes—
195C3×C22⋊D5—24no—
196C2×C3×Dic5—21no—
197C2×C3×Dic5—22no—
198C2×C3×Dic5—42no—
199C3×D20—21no—
200C3×D20C22×C412yes—
201C3×C4×D5—24no—
202C3×Dic10—21no—
203C3×Dic10C22×C412yes—
204#1204—24no—
205#1203—24no—
206#1202—24no—
207#1201—24no—
208#1200—24no—
209D3×Dic5—24no—
210D5×Dic3—24no—
211C3×C5×C8—22no—
212C3⋊#168—22no—
213C2×C3×#41—51no—
214D3×#41—58no—
215D3×#41—104no—
216C2×#239—51no—
217C2×D3×Q8—51no—
218C2×#237—51no—
219C2×#237—101no—
220C2×D3×D4—51no—
221C2×D3×D4—101no—
222C2×#235—101no—
223C2×#235C2×D511yescharacteristic
224C22×C4×D3—51no—
225C22×C4×D3—101no—
226C2×C3×M16C2×D511yescharacteristic, complemented
227C2×C3×C4⋊C4—51no—
228C2×(C2×D3)⋊C4—101no—
229C2×C4⋊Dic3C2×D511yescharacteristic, complemented
230C2×C4×Dic3—101no—
231C2×#208—51no—
232D3×M16—104no—
233C2×ΓL(1,𝔽25)—52no—
234C2×D3×C8—52no—
235#892—52no—
236#892—52no—
237#892—101no—
238#892—101no—
239C3×#103—52no—
240C3×#102—52no—
241#835—52no—
242#832—52no—
243#821C2×D512yescomplemented
244#816C2×D512yescomplemented
245#810—52no—
246#809—52no—
247C23×D5—31no—
248C23×D5—61no—
249C5×#41—34no—
250C5×#41—62no—
251C2×C5×Q8—31no—
252C2×C5×D4—31no—
253C2×C5×D4—61no—
254C22×C4×C5—61no—
255C22×C4×C5—61no—
256C22×C4×C5C22×D311yescharacteristic
257C2×C22⋊D5—21no—
258C2×C22⋊D5—61no—
259C2×C22⋊D5—61no—
260C22×Dic5—21no—
261C22×Dic5—31no—
262C22×Dic5—61no—
263#713—34no—
264#713—62no—
265Q8×D5—34no—
266Q8×D5—62no—
267#711—34no—
268#711—62no—
269#711—68no—
270D4×D5—34no—
271D4×D5—62no—
272D4×D5—68no—
273#709—22no—
274#709—68no—
275#709C4×D314yes—
276C2×D20—61no—
277C2×D20C22×D311yescharacteristic
278C2×C4×D5—21no—
279C2×C4×D5—34no—
280C2×C4×D5—31no—
281C2×C4×D5—31no—
282C2×C4×D5—34no—
283C2×C4×D5—31no—
284C2×C4×D5—31no—
285C2×C4×D5—68no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×Dic10—61no—
289C2×Dic10C22×D311yescharacteristic
290C5×M16—22no—
291C2×C5×C8C22×D312yes—
292C5×C4⋊C4—32no—
293C5×C4⋊C4—61no—
294#685—62no—
295#685—62no—
296C4⋊Dic5—21no—
297C4⋊Dic5C22×D312yes—
298C4×Dic5—62no—
299C4×Dic5—62no—
300#681—62no—
301C2×#168—32no—
302#676—64no—
303C8×D5—64no—
304C22×#41—151no—
305C22×M16—151no—
306C2×#117—151no—
307#419—152no—
308#418—152no—
309#417—31no—
310#417—51no—
311#417—151no—
312#417—151no—
313#416—152no—
314#416—152no—
315C22×C3×C5—21no—
316C22×C3×C5—21no—
317C22×C3×C5C2×C22⋊C412yes—
318C22×C3×C5C22×D411yescharacteristic
319C2×D15—21no—
320C2×D15—21no—
321C2×D15—21no—
322C2×D15—21no—
323C2×D15—44no—
324C2×D15C2×C22⋊C412yes—
325C2×D15C2×C22⋊C412yes—
326C2×C5×D3—22no—
327C2×C5×D3—41no—
328C2×C5×D3—41no—
329C2×C3×D5—22no—
330C2×C3×D5—41no—
331C2×C3×D5—41no—
332D3×D5—48no—
333C3×C4×C5C2×C22⋊C412yes—
334C3×C4×C5C23×C411yescharacteristic
335C3×C4×C5C22×D411yescharacteristic
336Dic15C2×C22⋊C412yes—
337Dic15C2×C22⋊C412yes—
338C3×Dic5—22no—
339C3×Dic5—42no—
340C5×Dic3—22no—
341C5×Dic3—42no—
342C23×D3—51no—
343C23×D3—101no—
344C3×#41—54no—
345C3×#41—102no—
346C2×C3×Q8—51no—
347C2×C3×D4—51no—
348C2×C3×D4—101no—
349C22×C3×C4—101no—
350C22×C3×C4—101no—
351C22×C3×C4C22×D511yescharacteristic
352C2×#67—21no—
353C2×#67—101no—
354C2×#67—101no—
355C22×Dic3—21no—
356C22×Dic3—51no—
357C22×Dic3—101no—
358#239—54no—
359#239—102no—
360D3×Q8—54no—
361D3×Q8—102no—
362#237—54no—
363#237—102no—
364#237—108no—
365D3×D4—54no—
366D3×D4—102no—
367D3×D4—108no—
368#235—22no—
369#235—108no—
370#235C4×D514yes—
371C2×D12—101no—
372C2×D12C22×D511yescharacteristic
373C2×C4×D3—21no—
374C2×C4×D3—54no—
375C2×C4×D3—51no—
376C2×C4×D3—51no—
377C2×C4×D3—54no—
378C2×C4×D3—51no—
379C2×C4×D3—51no—
380C2×C4×D3—108no—
381C2×C4×D3—101no—
382C2×C4×D3—101no—
383C2×Dic6—101no—
384C2×Dic6C22×D511yescharacteristic
385C3×M16—22no—
386C2×C3×C8C22×D512yes—
387C3×C4⋊C4—52no—
388C3×C4⋊C4—101no—
389(C2×D3)⋊C4—102no—
390(C2×D3)⋊C4—102no—
391C4⋊Dic3—21no—
392C4⋊Dic3C22×D512yes—
393C4×Dic3—102no—
394C4×Dic3—102no—
395#208—102no—
396C2×C3⋊C8—52no—
397ΓL(1,𝔽25)—104no—
398D3×C8—104no—
399C23×C5—61no—
400C23×C5D3×D411yescharacteristic
401C22×D5—21no—
402C22×D5—31no—
403C22×D5—31no—
404C22×D5—34no—
405C22×D5—64no—
406C22×D5—122no—
407C22×D5—122no—
408C22×D5—121no—
409C22×D5—121no—
410C5×Q8—32no—
411C5×Q8—61no—
412C5×D4—32no—
413C5×D4—64no—
414C5×D4—61no—
415C2×C4×C5—61no—
416C2×C4×C5—64no—
417C2×C4×C5—62no—
418C2×C4×C5—122no—
419C2×C4×C5C2×C4×D312yes—
420C2×C4×C5D3×D411yescharacteristic
421C2×C4×C5D3×D412yes—
422C2×C4×C5C23×D311yescharacteristic
423C22⋊D5—24no—
424C22⋊D5—64no—
425C22⋊D5—64no—
426C2×Dic5—21no—
427C2×Dic5—22no—
428C2×Dic5—34no—
429C2×Dic5—31no—
430C2×Dic5—31no—
431C2×Dic5—42no—
432C2×Dic5—64no—
433D20—21no—
434D20—64no—
435D20C2×C4×D312yes—
436C4×D5—24no—
437C4×D5—34no—
438C4×D5—34no—
439C4×D5—32no—
440C4×D5—32no—
441C4×D5—32no—
442C4×D5—32no—
443C4×D5—64no—
444C4×D5—64no—
445Dic10—21no—
446Dic10—64no—
447Dic10C2×C4×D312yes—
448C5×C8—22no—
449#168—62no—
450C2×#41—31no—
451C2×#41—51no—
452C2×#41—151no—
453C2×#41—151no—
454C2×#41—158no—
455C2×#41—301no—
456C2×#41—301no—
457C2×#41—304no—
458C22×Q8—151no—
459C22×D4—151no—
460C22×D4—301no—
461C23×C4—151no—
462C23×C4—301no—
463C2×M16—151no—
464C2×M16—152no—
465C2×M16—304no—
466C2×M16D3×D511yescharacteristic, complemented
467C22×C8—152no—
468#117—152no—
469#117—152no—
470#117—301no—
471#117—301no—
472C2×C4⋊C4—31no—
473C2×C4⋊C4—51no—
474C2×C22⋊C4—301no—
475C2×C42—301no—
476#103—32no—
477#103—52no—
478#103—152no—
479#103—152no—
480#102—32no—
481#102—52no—
482#102—152no—
483#102—152no—
484C2×C3×C5—22no—
485C2×C3×C5C22×C22⋊C411yescharacteristic
486C2×C3×C5#57511yescharacteristic
487C2×C3×C5#57511yescharacteristic
488D15—22no—
489D15—22no—
490C3×D5—42no—
491C5×D3—42no—
492C23×C3—101no—
493C23×C3D4×D511yescharacteristic
494C22×D3—21no—
495C22×D3—51no—
496C22×D3—51no—
497C22×D3—54no—
498C22×D3—104no—
499C22×D3—202no—
500C22×D3—202no—
501C22×D3—201no—
502C22×D3—201no—
503C3×Q8—52no—
504C3×Q8—101no—
505C3×D4—52no—
506C3×D4—104no—
507C3×D4—101no—
508C2×C3×C4—101no—
509C2×C3×C4—104no—
510C2×C3×C4—102no—
511C2×C3×C4—202no—
512C2×C3×C4C2×C4×D512yes—
513C2×C3×C4D4×D511yescharacteristic
514C2×C3×C4D4×D512yes—
515C2×C3×C4C23×D511yescharacteristic
516#67—24no—
517#67—104no—
518#67—104no—
519C2×Dic3—21no—
520C2×Dic3—22no—
521C2×Dic3—42no—
522C2×Dic3—51no—
523C2×Dic3—51no—
524C2×Dic3—54no—
525C2×Dic3—104no—
526D12—21no—
527D12—104no—
528D12C2×C4×D512yes—
529C4×D3—24no—
530C4×D3—52no—
531C4×D3—52no—
532C4×D3—52no—
533C4×D3—52no—
534C4×D3—54no—
535C4×D3—54no—
536C4×D3—104no—
537C4×D3—104no—
538Dic6—21no—
539Dic6—104no—
540Dic6C2×C4×D512yes—
541C3×C8—22no—
542C3⋊C8—102no—
543C22×C5—21no—
544C22×C5—21no—
545C22×C5—62no—
546C22×C5—121no—
547C22×C5—121no—
548C22×C5D3×C22⋊C412yes—
549C22×C5C2×D3×D411yescharacteristic
550C2×D5—22no—
551C2×D5—32no—
552C2×D5—32no—
553C2×D5—41no—
554C2×D5—41no—
555C2×D5—61no—
556C2×D5—61no—
557C2×D5—61no—
558C2×D5—61no—
559C2×D5—128no—
560C2×D5—124no—
561C4×C5—62no—
562C4×C5—122no—
563C4×C5D3×C22⋊C412yes—
564C4×C5C22×C4×D311yescharacteristic
565C4×C5C2×D3×D411yescharacteristic
566Dic5—22no—
567Dic5—32no—
568Dic5—32no—
569Dic5—42no—
570C24—151no—
571C24—301no—
572#41—34no—
573#41—54no—
574#41—62no—
575#41—102no—
576#41—154no—
577#41—154no—
578#41—308no—
579#41—308no—
580#41—302no—
581#41—302no—
582C2×Q8—31no—
583C2×Q8—51no—
584C2×Q8—154no—
585C2×Q8—301no—
586C2×Q8—302no—
587C2×D4—31no—
588C2×D4—51no—
589C2×D4—61no—
590C2×D4—101no—
591C2×D4—154no—
592C2×D4—301no—
593C2×D4—301no—
594C2×D4—302no—
595C2×D4—301no—
596C2×D4—308no—
597C22×C4—61no—
598C22×C4—61no—
599C22×C4—101no—
600C22×C4—101no—
601C22×C4—151no—
602C22×C4—154no—
603C22×C4—151no—
604C22×C4—151no—
605C22×C4—154no—
606C22×C4—151no—
607C22×C4—151no—
608C22×C4—308no—
609C22×C4—301no—
610C22×C4—301no—
611C22×C4—301no—
612C22×C4C2×D3×D511yescharacteristic
613M16—22no—
614M16—304no—
615M16—302no—
616C2×C8—152no—
617C2×C8—304no—
618C2×C8C2×D3×D512yes—
619C4⋊C4—32no—
620C4⋊C4—52no—
621C4⋊C4—61no—
622C4⋊C4—101no—
623C22⋊C4—302no—
624C22⋊C4—302no—
625C42—302no—
626C42—302no—
627C3×C5#289611yescharacteristic, complemented, Hall
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—102no—
631C22×C3—201no—
632C22×C3—201no—
633C22×C3D5×C22⋊C412yes—
634C22×C3C2×D4×D511yescharacteristic
635C2×D3—22no—
636C2×D3—41no—
637C2×D3—41no—
638C2×D3—52no—
639C2×D3—52no—
640C2×D3—101no—
641C2×D3—101no—
642C2×D3—101no—
643C2×D3—101no—
644C2×D3—208no—
645C2×D3—204no—
646C3×C4—102no—
647C3×C4—202no—
648C3×C4D5×C22⋊C412yes—
649C3×C4C22×C4×D511yescharacteristic
650C3×C4C2×D4×D511yescharacteristic
651Dic3—22no—
652Dic3—42no—
653Dic3—52no—
654Dic3—52no—
655C2×C5—22no—
656C2×C5—122no—
657C2×C5C2×D3×C22⋊C411yescharacteristic
658C2×C5#577311yescharacteristic
659C2×C5#577711yescharacteristic
660D5—42no—
661D5—62no—
662D5—62no—
663C23—61no—
664C23—101no—
665C23—151no—
666C23—151no—
667C23—154no—
668C23—304no—
669C23—601no—
670C23—601no—
671C23—602no—
672C23—602no—
673C23#677711yescharacteristic
674Q8—32no—
675Q8—52no—
676Q8—61no—
677Q8—101no—
678Q8—304no—
679D4—32no—
680D4—52no—
681D4—64no—
682D4—61no—
683D4—104no—
684D4—101no—
685D4—304no—
686D4—304no—
687D4—304no—
688C2×C4—61no—
689C2×C4—64no—
690C2×C4—62no—
691C2×C4—101no—
692C2×C4—104no—
693C2×C4—102no—
694C2×C4—122no—
695C2×C4—154no—
696C2×C4—151no—
697C2×C4—151no—
698C2×C4—154no—
699C2×C4—154no—
700C2×C4—152no—
701C2×C4—152no—
702C2×C4—152no—
703C2×C4—152no—
704C2×C4—202no—
705C2×C4—304no—
706C2×C4—304no—
707C2×C4—304no—
708C2×C4C4×D3×D512yes—
709C2×C4#677711yescharacteristic
710C2×C4#679012yes—
711C2×C4C22×D3×D511yescharacteristic
712C8—22no—
713C8—302no—
714C2×C3—22no—
715C2×C3—202no—
716C2×C3C2×D5×C22⋊C411yescharacteristic
717C2×C3#6610711yescharacteristic
718C2×C3#6611111yescharacteristic
719D3—42no—
720D3—102no—
721D3—102no—
722C5#7888111yescharacteristic, complemented, Sylow
723C22—21no—
724C22—21no—
725C22—62no—
726C22—102no—
727C22—121no—
728C22—121no—
729C22—152no—
730C22—152no—
731C22—201no—
732C22—201no—
733C22—301no—
734C22—301no—
735C22—301no—
736C22—301no—
737C22—604no—
738C22—608no—
739C22#9147312yes—
740C22C2×#677711yescharacteristic
741C4—62no—
742C4—102no—
743C4—122no—
744C4—152no—
745C4—152no—
746C4—202no—
747C4#9147312yes—
748C4C2×C4×D3×D511yescharacteristic
749C4C2×#679011yescharacteristic
750C3#1061061211yescharacteristic, complemented, Sylow
751C2—22no—
752C2—122no—
753C2—202no—
754C2—302no—
755C2—302no—
756C2#1175403511yescharacteristic
757C2#1175403611yescharacteristic
758C2C2×#9147311yescharacteristic
subgroupG/H
centerC22C2×#6777
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×M16C22
socleC22×C3×C5C22×D4
prime radicalC2×#92016C2
cosocleC2×C3×C4×C5C24
hypercenterC2×M16D3×D5
hypocenterC3×C5#2896
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×M16

Complements

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

NH ≅ G/Ntype
2. C2×M16×D15C2semidirect
3. C2×#91347C2semidirect
4. C5×#5133C2semidirect
5. C3×#65422C2semidirect
6. #11748384C2semidirect
7. #11748368C2semidirect
8. #11748145C2semidirect
9. #11748141C2semidirect
10. #11748109C2semidirect
11. #11747644C2semidirect
19. #92016C4semidirect
26. C2×C3×C5×M16C22semidirect
27. C2×#6710C22semidirect
30. C2×C8×D15C22semidirect
31. C2×C5×C4⋊Dic3C22semidirect
32. C2×C3×C4⋊Dic5C22semidirect
38. #91347C22semidirect
39. C5×#821C22semidirect
40. C5×#816C22semidirect
41. C3×#3953C22semidirect
42. C3×#3948C22semidirect
43. #90972C22semidirect
44. #90970C22semidirect
45. #90966C22semidirect
46. #90964C22semidirect
53. #65422D3semidirect
93. #6777C2×C4semidirect
97. D15⋊Q8C2×C4semidirect
99. #6768C2×C4semidirect
101. #6766C2×C4semidirect
121. #5133D5semidirect
140. C2×C5×M16C2×D3semidirect
143. C2×C4⋊Dic5C2×D3semidirect
157. #3953C2×D3semidirect
158. #3948C2×D3semidirect
226. C2×C3×M16C2×D5semidirect
229. C2×C4⋊Dic3C2×D5semidirect
243. #821C2×D5semidirect
244. #816C2×D5semidirect
466. C2×M16D3×D5semidirect
627. C3×C5#2896semidirect
722. C5#78881semidirect
750. C3#10610612semidirect

Maximal subgroups

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

subgroupindex
C2×#920162
C2×M16×D152
C2×#913472
C5×#51332
C3×#654222
#117483842
#117483682
#117481452
#117481412
#117481092
#117476442
#106106123
#788815