Finite Group Databasebeta

← #14425424

Subgroups — #14425424

Order 1920.

1396 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#1010C211yesmaximal, characteristic, complemented
2C3×#66156C211yesmaximal, characteristic, complemented
3#11754251C211yesmaximal, characteristic, complemented
4#11754138C211yesmaximal, characteristic, complemented
5#11751337C211yesmaximal, characteristic, complemented
6#11749465C214yesmaximal, complemented
7#11749458C214yesmaximal, complemented
8#11748424C211yesmaximal, characteristic, complemented
9C2×#90962C211yesmaximal, characteristic, complemented
10#10615847—31nomaximal, Hall
11C2×C3×C5×#41C2211yescharacteristic
12C5×#1010—22no—
13C5×#1010—22no—
14C5×#1010—22no—
15C5×#1010C2214yes—
16C2×C5×D3×Q8—21no—
17C2×C5×#237—21no—
18C2×C5×#237—22no—
19C2×C5×#235—21no—
20C2×C5×#235C2211yescharacteristic
21C22×C5×Dic6—21no—
22C22×C5×Dic6C2211yescharacteristic
23C2×C3×#709C2211yescharacteristic
24#91815C2211yescharacteristic
25C2×#6710C2211yescharacteristic
26C3×#4097C2212yescomplemented
27C3×#4096—22no—
28C3×#4095C2212yescomplemented
29C3×#4088—21no—
30C3×#4078—21no—
31C2×C3×#681C2211yescharacteristic
32#91536—22no—
33#91385C2212yescomplemented
34#91368C2212yescomplemented
35#91359—22no—
36#91309C2212yescomplemented
37#91307—21no—
38#91299—21no—
39#91298C2212yescomplemented
40#91297—22no—
41#91121C2214yescomplemented
42#90978C2214yescomplemented
43#90962C2214yescomplemented
44#84006—51nomaximal, Hall
45C2×C5×2−1+4—31no—
46#66156—31no—
47#66156D311yescharacteristic, complemented
48#66150—31no—
49#65535—34no—
50#65534—34no—
51#65525—31no—
52#65525—31no—
53C2×#3968—31no—
54C3×C5×#41—21no—
55C3×C5×#41—21no—
56C3×C5×#41D412yes—
57C3×C5×#41C2312yes—
58C2×C3×C5×Q8D411yescharacteristic
59C2×C3×C5×D4—21no—
60C2×C3×C5×D4D411yescharacteristic
61C22×C3×C4×C5—21no—
62C22×C3×C4×C5C2311yescharacteristic
63C2×C5×#67—22no—
64C2×C5×#67—21no—
65C22×C5×Dic3—22no—
66C22×C5×Dic3D412yes—
67C5×D3×Q8—24no—
68C5×D3×Q8—24no—
69C5×#237—28no—
70C5×#237—24no—
71C5×#237—24no—
72C5×#237—28no—
73C5×#235—24no—
74C5×#235—21no—
75C5×#235—21no—
76C5×#235—24no—
77C5×#235D412yes—
78C5×#235C2312yes—
79C2×C5×D12D411yescharacteristic
80C2×C4×C5×D3—22no—
81C2×C4×C5×D3—21no—
82C2×C5×Dic6—22no—
83C2×C5×Dic6—24no—
84C2×C5×Dic6—21no—
85C2×C5×Dic6—21no—
86C2×C5×Dic6—21no—
87C2×C5×Dic6—21no—
88C2×C5×Dic6—24no—
89C2×C5×Dic6D412yes—
90C2×C5×Dic6D411yescharacteristic
91C2×C5×Dic6C2312yes—
92C2×C3×C22⋊D5—21no—
93C3×#709—21no—
94C3×#709—21no—
95C3×#709—21no—
96C3×#709—21no—
97C2×C3×D20C2311yescharacteristic
98C2×C3×C4×D5—21no—
99C2×C3×Dic10C2311yescharacteristic
100#6719—21no—
101C4⋊Dic15—21no—
102C4×Dic15C2312yes—
103#6710—21no—
104#6710C2312yes—
105C2×C3⋊#168—21no—
106C3×#689—22no—
107C3×#688—22no—
108C3×#687—22no—
109C3×#686—22no—
110C3×#681—21no—
111C3×#681C2312yes—
112C2×C3×#168—21no—
113#6669—24no—
114#6665—24no—
115#6661—22no—
116#6656—22no—
117#6655—22no—
118#6652—22no—
119C2×#1010D511yescharacteristic, complemented
120C3×#575—51no—
121#5825—51no—
122#5822—51no—
123#5236—51no—
124#5205—54no—
125#5201—54no—
126#5139—51no—
127C2×#824—51no—
128C5×2−1+4—34no—
129C5×2−1+4—62no—
130C5×2−1+4—62no—
131C5×2−1+4—62no—
132C2×C5×#41—31no—
133C2×C5×#41—61no—
134C2×C5×#41—62no—
135C2×C5×#41—61no—
136C2×C5×#41C2×D311yescharacteristic
137C22×C5×Q8—31no—
138C22×C5×Q8—61no—
139C22×C5×Q8—61no—
140C2×#709C2×D311yescharacteristic
141#4097—32no—
142#4097C2×D312yescomplemented
143#4096—22no—
144#4096—62no—
145#4095—32no—
146#4095C2×D312yescomplemented
147#4093—32no—
148#4092—62no—
149#4090—32no—
150#4088—21no—
151#4088—61no—
152#4078—21no—
153#4078—61no—
154#4075—62no—
155#4072—31no—
156C2×#681—31no—
157C2×#681C2×D311yescharacteristic
158#3969—34no—
159#3969—34no—
160#3968—34no—
161#3020—151noSylow
162C23×C3×C5—21no—
163C23×C3×C5C2×D411yescharacteristic
164C22×C5×D3—21no—
165C22×C3×D5—21no—
166C3×C5×Q8—21no—
167C3×C5×Q8C2×D412yes—
168C3×C5×D4—22no—
169C3×C5×D4—22no—
170C3×C5×D4—21no—
171C3×C5×D4C2×D412yes—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—22no—
174C2×C3×C4×C5—22no—
175C2×C3×C4×C5C2×D411yescharacteristic
176C2×C3×C4×C5C2×D411yescharacteristic
177C2×C3×C4×C5C2×D411yescharacteristic
178C2×C3×C4×C5C2×D411yescharacteristic
179C2×C3×C4×C5C2×D411yescharacteristic
180C2×C3×C4×C5C2411yescharacteristic
181C2×Dic15—22no—
182C5×#67—28no—
183C5×#67—22no—
184C5×#67—22no—
185C2×C5×Dic3—28no—
186C2×C5×Dic3—22no—
187C2×C5×Dic3—21no—
188C2×C5×Dic3—22no—
189C2×C5×Dic3C2×D414yes—
190C5×D12—21no—
191C5×D12C2×D412yes—
192C4×C5×D3—28no—
193C4×C5×D3—22no—
194C4×C5×D3—22no—
195C5×Dic6—28no—
196C5×Dic6—22no—
197C5×Dic6—21no—
198C5×Dic6—22no—
199C5×Dic6—22no—
200C5×Dic6—22no—
201C5×Dic6C2×D412yes—
202C3×C22⋊D5—41no—
203C3×C22⋊D5—41no—
204C2×C3×Dic5—21no—
205C3×D20—21no—
206C3×D20—21no—
207C3×C4×D5—41no—
208C3×C4×D5—41no—
209C3×Dic10—21no—
210C3×Dic10—21no—
211C3⋊#168—22no—
212C3×#168—22no—
213C2×C3×#41—51no—
214C2×C3×#41C2×D511yescharacteristic
215#1010—22no—
216#1010—22no—
217#1010—22no—
218#1010C2×D514yes—
219C2×D3×Q8—21no—
220C2×#237—21no—
221C2×#237—22no—
222C2×#235—21no—
223C2×#235C2×D511yescharacteristic
224C22×Dic6—21no—
225C22×Dic6C2×D511yescharacteristic
226C3×#137—52no—
227C3×#137—101no—
228C3×AGL(1,ℤ/8)—52no—
229C3×AGL(1,ℤ/8)—101no—
230C3×#135—102no—
231C2×C3×M16—51no—
232#951—101no—
233#950—102no—
234#949—101no—
235#944—52no—
236#942—52no—
237#936—52no—
238#935—102no—
239#932—52no—
240#926—51no—
241#924—102no—
242C2×#208—51no—
243#837—54no—
244#825—54no—
245#824—54no—
246C5×#41—21no—
247C5×#41—21no—
248C5×#41—32no—
249C5×#41—32no—
250C5×#41—64no—
251C5×#41—64no—
252C5×#41—68no—
253C5×#41—68no—
254C5×#41—64no—
255C5×#41—64no—
256C5×#41—61no—
257C5×#41—61no—
258C5×#41#6712yes—
259C5×#41C22×D312yes—
260C2×C5×Q8—32no—
261C2×C5×Q8—32no—
262C2×C5×Q8—31no—
263C2×C5×Q8—64no—
264C2×C5×Q8—62no—
265C2×C5×Q8—64no—
266C2×C5×Q8—64no—
267C2×C5×Q8—64no—
268C2×C5×Q8—61no—
269C2×C5×Q8—61no—
270C2×C5×Q8—61no—
271C2×C5×Q8—61no—
272C2×C5×Q8#6711yescharacteristic
273C2×C5×D4—21no—
274C2×C5×D4—31no—
275C2×C5×D4—62no—
276C2×C5×D4—61no—
277C2×C5×D4#6711yescharacteristic
278C22×C4×C5—21no—
279C22×C4×C5—32no—
280C22×C4×C5—62no—
281C22×C4×C5—62no—
282C22×C4×C5—61no—
283C22×C4×C5C22×D311yescharacteristic
284C2×C22⋊D5—21no—
285#709—21no—
286#709—21no—
287#709—21no—
288#709—21no—
289C2×D20C22×D311yescharacteristic
290C2×C4×D5—21no—
291C2×Dic10C22×D311yescharacteristic
292C22⋊Dic5—61no—
293#689—22no—
294#689—62no—
295#688—22no—
296#688—62no—
297#687—22no—
298#687—62no—
299#686—22no—
300#686—62no—
301#685—64no—
302C4⋊Dic5—61no—
303#683—64no—
304C4×Dic5—32no—
305#681—21no—
306#681—32no—
307#681—61no—
308#681C22×D312yes—
309C2×#168—21no—
310C2×#168—61no—
311C2×2−1+4—31no—
312#575—51no—
313#575—151no—
314#536—151no—
315#456—154no—
316#454—154no—
317#421—151no—
318#421—151no—
319C2×#101—151no—
320C22×C3×C5—22no—
321C22×C3×C5—41no—
322C22×C3×C5—42no—
323C22×C3×C5#12011yescharacteristic
324C22×C3×C5#12011yescharacteristic
325C22×C3×C5C22×D411yescharacteristic
326C2×C5×D3—22no—
327C2×C5×D3—42no—
328C2×C3×D5—42no—
329C2×C3×D5—41no—
330C3×C4×C5—22no—
331C3×C4×C5#12011yescharacteristic
332C3×C4×C5#12011yescharacteristic
333C3×C4×C5C22×D411yescharacteristic
334C3×C4×C5C22×D411yescharacteristic
335Dic15—42no—
336C3×Dic5—41no—
337C5×Dic3—24no—
338C5×Dic3—22no—
339C3×#41—21no—
340C3×#41—21no—
341C3×#41—101no—
342C3×#41—101no—
343C3×#41—101no—
344C3×#41—101no—
345C3×#41C22⋊D512yes—
346C3×#41C22×D512yes—
347C2×C3×Q8—51no—
348C2×C3×Q8C22⋊D511yescharacteristic
349C2×C3×D4—21no—
350C2×C3×D4—51no—
351C2×C3×D4—101no—
352C2×C3×D4C22⋊D511yescharacteristic
353C22×C3×C4—21no—
354C22×C3×C4—101no—
355C22×C3×C4C22×D511yescharacteristic
356C2×#67—22no—
357C2×#67—21no—
358C22×Dic3—22no—
359C22×Dic3C22⋊D512yes—
360D3×Q8—24no—
361D3×Q8—24no—
362#237—28no—
363#237—24no—
364#237—24no—
365#237—28no—
366#235—24no—
367#235—21no—
368#235—21no—
369#235—24no—
370#235C22⋊D512yes—
371#235C22×D512yes—
372C2×D12C22⋊D511yescharacteristic
373C2×C4×D3—22no—
374C2×C4×D3—21no—
375C2×Dic6—22no—
376C2×Dic6—24no—
377C2×Dic6—21no—
378C2×Dic6—21no—
379C2×Dic6—21no—
380C2×Dic6—21no—
381C2×Dic6—24no—
382C2×Dic6C22⋊D512yes—
383C2×Dic6C22⋊D511yescharacteristic
384C2×Dic6C22×D512yes—
385C3×Q16—102no—
386C3×SD16—102no—
387C3×SD16—102no—
388C3×D8—102no—
389C3×M16—52no—
390C3×M16—101no—
391C2×C3×C8—101no—
392#217—101no—
393#217—104no—
394#216—102no—
395#215—102no—
396#214—102no—
397#213—102no—
398C4⋊Dic3—101no—
399Dic3⋊C4—104no—
400C4×Dic3—52no—
401#208—52no—
402#208—101no—
403C2×C3⋊C8—101no—
404C23×C5—21no—
405C23×C5—61no—
406C23×C5D3×D411yescharacteristic
407C22×D5—21no—
408C5×Q8—21no—
409C5×Q8—32no—
410C5×Q8—68no—
411C5×Q8—62no—
412C5×Q8—62no—
413C5×Q8—61no—
414C5×Q8—62no—
415C5×Q8—62no—
416C5×Q8C2×#6712yes—
417C5×D4—22no—
418C5×D4—22no—
419C5×D4—21no—
420C5×D4—32no—
421C5×D4—68no—
422C5×D4—62no—
423C5×D4—62no—
424C5×D4—61no—
425C5×D4C2×#6712yes—
426C2×C4×C5—21no—
427C2×C4×C5—22no—
428C2×C4×C5—22no—
429C2×C4×C5—34no—
430C2×C4×C5—68no—
431C2×C4×C5—68no—
432C2×C4×C5—62no—
433C2×C4×C5—62no—
434C2×C4×C5—61no—
435C2×C4×C5—62no—
436C2×C4×C5—62no—
437C2×C4×C5D3×D411yescharacteristic
438C2×C4×C5D3×D411yescharacteristic
439C2×C4×C5D3×D411yescharacteristic
440C2×C4×C5C2×#6711yescharacteristic
441C2×C4×C5C2×#6711yescharacteristic
442C2×C4×C5C23×D311yescharacteristic
443C22⋊D5—41no—
444C22⋊D5—41no—
445C2×Dic5—21no—
446C2×Dic5—62no—
447D20—21no—
448D20—21no—
449C4×D5—41no—
450C4×D5—41no—
451Dic10—21no—
452Dic10—21no—
453#168—22no—
454#168—62no—
4552−1+4—34no—
4562−1+4—62no—
4572−1+4—62no—
4582−1+4—62no—
459C2×#41—31no—
460C2×#41—51no—
461C2×#41—61no—
462C2×#41—62no—
463C2×#41—61no—
464C2×#41D3×D511yescharacteristic
465C22×Q8—31no—
466C22×Q8—61no—
467C22×Q8—61no—
468#137—52no—
469#137—101no—
470#137—152no—
471#137—301no—
472AGL(1,ℤ/8)—52no—
473AGL(1,ℤ/8)—101no—
474AGL(1,ℤ/8)—152no—
475AGL(1,ℤ/8)—301no—
476#135—102no—
477#135—302no—
478C2×M16—51no—
479C2×M16—151no—
480C4⋊Q8—152no—
481#124—152no—
482#123—302no—
483C22⋊Q8—302no—
484#117—151no—
485#104—154no—
486#104—154no—
487#101—154no—
488C2×C3×C5—21no—
489C2×C3×C5—21no—
490C2×C3×C5—21no—
491C2×C3×C5—42no—
492C2×C3×C5C2×#12011yescharacteristic
493C3×D5—81no—
494C5×D3—42no—
495C23×C3—21no—
496C23×C3—101no—
497C23×C3C2×C22⋊D511yescharacteristic
498C22×D3—21no—
499C3×Q8—21no—
500C3×Q8—101no—
501C3×Q8—101no—
502C3×Q8C2×C22⋊D512yes—
503C3×D4—22no—
504C3×D4—22no—
505C3×D4—21no—
506C3×D4—101no—
507C3×D4—101no—
508C3×D4—201no—
509C3×D4—201no—
510C3×D4C2×C22⋊D512yes—
511C2×C3×C4—21no—
512C2×C3×C4—22no—
513C2×C3×C4—22no—
514C2×C3×C4—101no—
515C2×C3×C4—201no—
516C2×C3×C4—201no—
517C2×C3×C4C2×C22⋊D511yescharacteristic
518C2×C3×C4C2×C22⋊D511yescharacteristic
519C2×C3×C4C2×C22⋊D511yescharacteristic
520C2×C3×C4C2×C22⋊D511yescharacteristic
521C2×C3×C4C2×C22⋊D511yescharacteristic
522C2×C3×C4C23×D511yescharacteristic
523#67—28no—
524#67—22no—
525#67—22no—
526C2×Dic3—28no—
527C2×Dic3—22no—
528C2×Dic3—21no—
529C2×Dic3—22no—
530C2×Dic3—102no—
531C2×Dic3C2×C22⋊D514yes—
532D12—21no—
533D12C2×C22⋊D512yes—
534C4×D3—28no—
535C4×D3—22no—
536C4×D3—22no—
537Dic6—28no—
538Dic6—22no—
539Dic6—21no—
540Dic6—22no—
541Dic6—22no—
542Dic6—22no—
543Dic6C2×C22⋊D512yes—
544C3×C8—102no—
545C3⋊C8—102no—
546C22×C5—22no—
547C22×C5—41no—
548C22×C5—42no—
549C22×C5—62no—
550C22×C5—122no—
551C22×C5#93711yescharacteristic
552C22×C5#93711yescharacteristic
553C22×C5C2×D3×D411yescharacteristic
554C2×D5—42no—
555C2×D5—41no—
556C4×C5—22no—
557C4×C5—64no—
558C4×C5—62no—
559C4×C5#93711yescharacteristic
560C4×C5#93711yescharacteristic
561C4×C5C2×D3×D411yescharacteristic
562C4×C5C22×#6711yescharacteristic
563Dic5—41no—
564Dic5—122no—
565#41—21no—
566#41—21no—
567#41—32no—
568#41—32no—
569#41—64no—
570#41—64no—
571#41—68no—
572#41—68no—
573#41—64no—
574#41—64no—
575#41—61no—
576#41—61no—
577#41—101no—
578#41—101no—
579#41—101no—
580#41—101no—
581#41#120112yes—
582#41C2×D3×D512yes—
583C2×Q8—32no—
584C2×Q8—32no—
585C2×Q8—31no—
586C2×Q8—51no—
587C2×Q8—64no—
588C2×Q8—62no—
589C2×Q8—64no—
590C2×Q8—64no—
591C2×Q8—64no—
592C2×Q8—61no—
593C2×Q8—61no—
594C2×Q8—61no—
595C2×Q8—61no—
596C2×Q8#120111yescharacteristic
597C2×D4—21no—
598C2×D4—31no—
599C2×D4—51no—
600C2×D4—62no—
601C2×D4—61no—
602C2×D4—101no—
603C2×D4#120111yescharacteristic
604C22×C4—21no—
605C22×C4—32no—
606C22×C4—62no—
607C22×C4—62no—
608C22×C4—61no—
609C22×C4—101no—
610C22×C4C2×D3×D511yescharacteristic
611Q16—102no—
612Q16—302no—
613SD16—102no—
614SD16—102no—
615SD16—302no—
616SD16—302no—
617D8—102no—
618D8—302no—
619M16—52no—
620M16—101no—
621M16—152no—
622M16—301no—
623C2×C8—101no—
624C2×C8—301no—
625C4⋊C4—304no—
626C4⋊C4—301no—
627C22⋊C4—304no—
628C22⋊C4—301no—
629C42—152no—
630C3×C5#302011yescharacteristic, complemented, Hall
631C22×C3—22no—
632C22×C3—41no—
633C22×C3—42no—
634C22×C3—202no—
635C22×C3—201no—
636C22×C3#409911yescharacteristic
637C22×C3#409911yescharacteristic
638C22×C3C22×C22⋊D511yescharacteristic
639C2×D3—22no—
640C2×D3—42no—
641C3×C4—22no—
642C3×C4—201no—
643C3×C4#409911yescharacteristic
644C3×C4#409911yescharacteristic
645C3×C4C22×C22⋊D511yescharacteristic
646C3×C4C22×C22⋊D511yescharacteristic
647Dic3—24no—
648Dic3—22no—
649Dic3—202no—
650C2×C5—21no—
651C2×C5—21no—
652C2×C5—21no—
653C2×C5—42no—
654C2×C5—122no—
655C2×C5C2×#93711yescharacteristic
656D5—81no—
657C23—21no—
658C23—61no—
659C23—101no—
660C23D3×C22⋊D511yescharacteristic
661Q8—21no—
662Q8—32no—
663Q8—68no—
664Q8—62no—
665Q8—62no—
666Q8—62no—
667Q8—62no—
668Q8—61no—
669Q8—101no—
670Q8—101no—
671Q8C2×#120112yes—
672D4—22no—
673D4—22no—
674D4—21no—
675D4—32no—
676D4—68no—
677D4—62no—
678D4—62no—
679D4—61no—
680D4—101no—
681D4—101no—
682D4—201no—
683D4—201no—
684D4C2×#120112yes—
685C2×C4—21no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—34no—
689C2×C4—68no—
690C2×C4—68no—
691C2×C4—62no—
692C2×C4—62no—
693C2×C4—61no—
694C2×C4—62no—
695C2×C4—62no—
696C2×C4—101no—
697C2×C4—201no—
698C2×C4—201no—
699C2×C4—302no—
700C2×C4C2×#120111yescharacteristic
701C2×C4C2×#120111yescharacteristic
702C2×C4D3×C22⋊D511yescharacteristic
703C2×C4D3×C22⋊D511yescharacteristic
704C2×C4D3×C22⋊D511yescharacteristic
705C2×C4C22×D3×D511yescharacteristic
706C8—102no—
707C8—302no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—42no—
712C2×C3—401no—
713C2×C3C2×#409911yescharacteristic
714D3—42no—
715C5#8400611yescharacteristic, complemented, Sylow
716C22—22no—
717C22—41no—
718C22—42no—
719C22—62no—
720C22—122no—
721C22—202no—
722C22—201no—
723C22#9156811yescharacteristic
724C22#9156811yescharacteristic
725C22C2×D3×C22⋊D511yescharacteristic
726C4—22no—
727C4—64no—
728C4—62no—
729C4—201no—
730C4—602no—
731C4#9156811yescharacteristic
732C4#9156811yescharacteristic
733C4C22×#120111yescharacteristic
734C4C2×D3×C22⋊D511yescharacteristic
735C3#1061584711yescharacteristic, complemented, Sylow
736C2—21no—
737C2—21no—
738C2—21no—
739C2—42no—
740C2—122no—
741C2—401no—
742C2C2×#9156811yescharacteristic
subgroupG/H
centerC2C2×#91568
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC2×C3×C5C2×#120
hypercenterC2×#41D3×D5
hypocenterC3×C5#3020
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C5×#1010C2semidirect
2. C3×#66156C2semidirect
3. #11754251C2semidirect
4. #11754138C2semidirect
5. #11751337C2semidirect
6. #11749465C2semidirect
7. #11749458C2semidirect
8. #11748424C2semidirect
9. C2×#90962C2semidirect
26. C3×#4097C22semidirect
28. C3×#4095C22semidirect
33. #91385C22semidirect
34. #91368C22semidirect
36. #91309C22semidirect
39. #91298C22semidirect
41. #91121C22semidirect
42. #90978C22semidirect
43. #90962C22semidirect
47. #66156D3semidirect
119. C2×#1010D5semidirect
142. #4097C2×D3semidirect
146. #4095C2×D3semidirect
630. C3×C5#3020semidirect
715. C5#84006semidirect
735. C3#10615847semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#10102
C3×#661562
#117542512
#117541382
#117513372
#117494652
#117494582
#117484242
C2×#909622
#106158473
#840065