Finite Group Databasebeta

← #14424723

Subgroups — #14424723

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×C3×#4149C211yesmaximal, characteristic, complemented
2C2×C5×#950C211yesmaximal, characteristic, complemented
3#11754607C211yesmaximal, characteristic, complemented
4C2×#91298C211yesmaximal, characteristic, complemented
5#11751333C211yesmaximal, characteristic, complemented
6#11749294C212yesmaximal, complemented
7#11749270C212yesmaximal, complemented
8#11749044C212yesmaximal, complemented
9#11749021C212yesmaximal, complemented
10C2×#90965C211yesmaximal, characteristic, complemented
11#11748342C211yesmaximal, characteristic, complemented
12#10615643—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic
14C2×C5×#235C2211yescharacteristic, complemented
15C3×#4149—24no—
16C3×#4149—24no—
17C2×C3×#713C2212yes—
18C2×C3×D4×D5—22no—
19C2×C3×D4×D5C2212yes—
20C2×C3×#709—21no—
21C2×C3×#709C2211yescharacteristic
22C22×C3×D20—21no—
23C22×C3×D20C2211yescharacteristic
24C2×C4⋊Dic15C2211yescharacteristic, complemented
25C2×#6710C2211yescharacteristic, complemented
26C5×#950—24no—
27C2×C5×#216C2211yescharacteristic, complemented
28C2×C5×#215C2211yescharacteristic, complemented
29C2×C5×#214C2211yescharacteristic, complemented
30C2×C5×#213C2211yescharacteristic, complemented
31C22×C5×C3⋊C8C2211yescharacteristic, complemented
32#91571—22no—
33#91456—21no—
34#91449C2212yescomplemented
35#91369—21no—
36#91359C2212yescomplemented
37C2×#6655C2212yescomplemented
38#91298—24no—
39C2×#6652C2212yescomplemented
40#91119C2212yescomplemented
41#91116C2212yescomplemented
42#90965C2212yescomplemented
43#90965C2212yescomplemented
44#90955C2212yescomplemented
45#90955C2212yescomplemented
46#84102—51nomaximal, Hall
47C2×#4149D311yescharacteristic, complemented
48C2×C5×#135—31no—
49#66167—31no—
50C2×#4095—31no—
51#65521—31no—
52#65476—32no—
53#65461—32no—
54#65458—32no—
55#65445—32no—
56C2×#3953—31no—
57#65399—31no—
58C23×C3×D5—21no—
59C23×C3×D5—22no—
60C3×C5×#41—22no—
61C3×C5×#41D414yescomplemented
62C2×C3×C5×Q8C2311yescharacteristic
63C2×C3×C5×D4—21no—
64C2×C3×C5×D4C2311yescharacteristic
65C22×C3×C4×C5—21no—
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15—21no—
68C2×C5×#67—21no—
69C5×#235—22no—
70C5×#235—22no—
71C2×C5×D12C2311yescharacteristic
72C2×C4×C5×D3—21no—
73C2×C5×Dic6C2311yescharacteristic
74C2×C3×C22⋊D5—22no—
75C2×C3×C22⋊D5D412yes—
76C3×#713—24no—
77C3×#713—24no—
78C3×D4×D5—216no—
79C3×D4×D5—24no—
80C3×D4×D5—24no—
81C3×#709—28no—
82C3×#709—22no—
83C3×#709—22no—
84C2×C3×D20—28no—
85C2×C3×D20—22no—
86C2×C3×D20—21no—
87C2×C3×D20—22no—
88C2×C3×D20D411yescharacteristic
89C2×C3×D20D414yescomplemented
90C2×C3×D20C2312yes—
91C2×C3×C4×D5—22no—
92C2×C3×C4×D5C2312yes—
93C2×C3×Dic10D411yescharacteristic
94C2×#1201—22no—
95C4⋊Dic15—21no—
96C4⋊Dic15C2312yes—
97#6710—22no—
98C2×C3⋊#168C2312yes—
99C5×#216—22no—
100C5×#215—22no—
101C5×#214—22no—
102C5×#213—22no—
103C2×C5×C3⋊C8—22no—
104C2×C5×C3⋊C8C2311yescharacteristic
105C2×C5×C3⋊C8C2311yescharacteristic
106#6669—22no—
107(C2×D3)⋊Dic5—22no—
108#6665—22no—
109#6655—24no—
110#6652—24no—
111C2×C3×H(5,𝔽2)—51no—
112#5833—51no—
113C2×#950D511yescharacteristic, complemented
114C2×#932—51no—
115#5239—52no—
116#5238—52no—
117#5234—51no—
118#5232—51no—
119#5218—52no—
120#5217—52no—
121C2×#832—51no—
122C2×C5×#41—31no—
123C2×C5×#41C2×D311yescharacteristic
124#4149—24no—
125#4149—24no—
126C2×#713C2×D312yes—
127C2×D4×D5—22no—
128C2×D4×D5C2×D312yes—
129C2×#709—21no—
130C2×#709C2×D311yescharacteristic
131C22×D20—21no—
132C22×D20C2×D311yescharacteristic
133C5×#135—64no—
134C2×C5×Q16—31no—
135C2×C5×SD16—31no—
136C2×C5×SD16—31no—
137C2×C5×D8—31no—
138C22×C5×C8—31no—
139#4095—64no—
140#4092—32no—
141C2×#688—32no—
142#4085—62no—
143#4084—32no—
144C2×#686—32no—
145#4076—61no—
146C2×C4⋊Dic5—31no—
147#4070—61no—
148C2×#681—31no—
149#3967—32no—
150#3964—32no—
151#3953—32no—
152#3953—32no—
153#3952—32no—
154#3952—32no—
155#3012—151noSylow
156C23×C3×C5—21no—
157C23×C3×C5C2×D411yescharacteristic
158C22×C5×D3—21no—
159C22×C3×D5—22no—
160C22×C3×D5—28no—
161C22×C3×D5—24no—
162C22×C3×D5—82no—
163C22×C3×D5—82no—
164C22×C3×D5—81no—
165C22×C3×D5—81no—
166C22×C3×D5C2×D412yes—
167C3×C5×Q8—21no—
168C3×C5×Q8C2×D412yes—
169C3×C5×D4—24no—
170C3×C5×D4—21no—
171C3×C5×D4C2×D412yes—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—24no—
174C2×C3×C4×C5C2×D411yescharacteristic
175C2×C3×C4×C5C2×D412yes—
176C2×C3×C4×C5C2×D412yes—
177C2×C3×C4×C5C2411yescharacteristic
178C2×Dic15—22no—
179C2×Dic15—81no—
180C5×#67—42no—
181C2×C5×Dic3—21no—
182C5×D12—21no—
183C5×D12—21no—
184C4×C5×D3—42no—
185C5×Dic6—21no—
186C5×Dic6—21no—
187C3×C22⋊D5—28no—
188C3×C22⋊D5—24no—
189C2×C3×Dic5C2×D412yes—
190C3×D20—28no—
191C3×D20—22no—
192C3×D20—24no—
193C3×D20—22no—
194C3×D20C2×D414yes—
195C3×C4×D5—28no—
196C3×C4×D5—22no—
197C3×C4×D5—22no—
198C3×Dic10—22no—
199#1201—82no—
200C3⋊#168—22no—
201C5×C3⋊C8—21no—
202C5×C3⋊C8—21no—
203C3×H(5,𝔽2)—104no—
204C3×H(5,𝔽2)—104no—
205C2×C3×#41—51no—
206C2×C3×#41—52no—
207C2×C3×#41—101no—
208C2×C3×#41C2×D511yescharacteristic
209C22×C3×D4—52no—
210C22×C3×D4—51no—
211C22×C3×D4—101no—
212C22×C3×D4—102no—
213C2×#235C2×D511yescharacteristic, complemented
214#950—24no—
215#946—101no—
216C2×#216C2×D511yescharacteristic, complemented
217C2×#215C2×D511yescharacteristic, complemented
218#939—102no—
219#938—101no—
220C2×#214—52no—
221C2×#214C2×D511yescharacteristic, complemented
222#932—104no—
223C2×#213—52no—
224C2×#213C2×D511yescharacteristic, complemented
225#930—52no—
226C2×C4⋊Dic3—51no—
227#924—52no—
228C2×#208—51no—
229C22×C3⋊C8C2×D511yescharacteristic, complemented
230#835—52no—
231#832—52no—
232#832—52no—
233#832—52no—
234#830—52no—
235#830—52no—
236C23×D5—21no—
237C23×D5—22no—
238C5×#41—22no—
239C5×#41—62no—
240C5×#41—62no—
241C5×#41#6714yescomplemented
242C2×C5×Q8—31no—
243C2×C5×Q8C22×D311yescharacteristic
244C2×C5×D4—21no—
245C2×C5×D4—31no—
246C2×C5×D4—61no—
247C2×C5×D4C22×D311yescharacteristic
248C22×C4×C5—21no—
249C22×C4×C5—61no—
250C22×C4×C5C22×D311yescharacteristic
251C2×C22⋊D5—22no—
252C2×C22⋊D5—62no—
253C2×C22⋊D5#6712yes—
254C22×Dic5—61no—
255#713—24no—
256#713—24no—
257D4×D5—216no—
258D4×D5—24no—
259D4×D5—24no—
260#709—28no—
261#709—22no—
262#709—22no—
263C2×D20—28no—
264C2×D20—22no—
265C2×D20—21no—
266C2×D20—22no—
267C2×D20#6711yescharacteristic
268C2×D20#6714yescomplemented
269C2×D20C22×D312yes—
270C2×C4×D5—22no—
271C2×C4×D5C22×D312yes—
272C2×Dic10#6711yescharacteristic
273C5×Q16—62no—
274C5×SD16—62no—
275C5×SD16—62no—
276C5×D8—62no—
277C2×C5×C8—31no—
278C2×C5×C8—31no—
279C2×C5×C8—62no—
280C22⋊Dic5—62no—
281#688—64no—
282#686—64no—
283#685—62no—
284C4⋊Dic5—32no—
285C4⋊Dic5—61no—
286#683—62no—
287#681—62no—
288C2×#168—32no—
289C2×H(5,𝔽2)—51no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—31no—
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—22no—
303C22×C3×C5—41no—
304C22×C3×C5—41no—
305C22×C3×C5#12012yes—
306C22×C3×C5C22×D411yescharacteristic
307C2×C5×D3—41no—
308C2×C5×D3—41no—
309C2×C5×D3—41no—
310C2×C3×D5—22no—
311C2×C3×D5—24no—
312C2×C3×D5—22no—
313C2×C3×D5—22no—
314C2×C3×D5—42no—
315C2×C3×D5—42no—
316C2×C3×D5—84no—
317C2×C3×D5—88no—
318C3×C4×C5—22no—
319C3×C4×C5#12012yes—
320C3×C4×C5C22×D411yescharacteristic
321C3×C4×C5C22×D411yescharacteristic
322Dic15—42no—
323C3×Dic5—22no—
324C5×Dic3—41no—
325C24×C3—102no—
326C24×C3—101no—
327C3×#41—22no—
328C3×#41—108no—
329C3×#41—104no—
330C3×#41—104no—
331C3×#41—102no—
332C3×#41—102no—
333C3×#41C22⋊D514yescomplemented
334C2×C3×Q8—51no—
335C2×C3×Q8C22×D511yescharacteristic
336C2×C3×D4—21no—
337C2×C3×D4—52no—
338C2×C3×D4—54no—
339C2×C3×D4—51no—
340C2×C3×D4—52no—
341C2×C3×D4—102no—
342C2×C3×D4—108no—
343C2×C3×D4—102no—
344C2×C3×D4—104no—
345C2×C3×D4—1016no—
346C2×C3×D4—104no—
347C2×C3×D4—101no—
348C2×C3×D4—102no—
349C2×C3×D4C22×D511yescharacteristic
350C22×C3×C4—21no—
351C22×C3×C4—52no—
352C22×C3×C4—102no—
353C22×C3×C4C22×D511yescharacteristic
354C2×#67—21no—
355C2×#67—102no—
356C22×Dic3—101no—
357#235—22no—
358#235—22no—
359C2×D12C22×D511yescharacteristic
360C2×C4×D3—21no—
361C2×Dic6C22×D511yescharacteristic
362#217—102no—
363#216—22no—
364#215—22no—
365#214—22no—
366#214—104no—
367#213—22no—
368#213—104no—
369(C2×D3)⋊C4—102no—
370C4⋊Dic3—52no—
371C4⋊Dic3—101no—
372Dic3⋊C4—102no—
373#208—102no—
374C2×C3⋊C8—22no—
375C2×C3⋊C8—52no—
376C2×C3⋊C8C22×D511yescharacteristic
377C2×C3⋊C8C22×D511yescharacteristic
378C23×C5—21no—
379C23×C5—61no—
380C23×C5C2×#6711yescharacteristic
381C22×D5—22no—
382C22×D5—28no—
383C22×D5—24no—
384C22×D5—82no—
385C22×D5—82no—
386C22×D5—81no—
387C22×D5—81no—
388C22×D5C2×#6712yes—
389C5×Q8—21no—
390C5×Q8—61no—
391C5×Q8—61no—
392C5×Q8C2×#6712yes—
393C5×D4—24no—
394C5×D4—21no—
395C5×D4—61no—
396C5×D4—61no—
397C5×D4—122no—
398C5×D4C2×#6712yes—
399C2×C4×C5—21no—
400C2×C4×C5—24no—
401C2×C4×C5—61no—
402C2×C4×C5—122no—
403C2×C4×C5C2×#6712yes—
404C2×C4×C5C2×#6711yescharacteristic
405C2×C4×C5C2×#6712yes—
406C2×C4×C5C23×D311yescharacteristic
407C22⋊D5—28no—
408C22⋊D5—24no—
409C22⋊D5—242no—
410C2×Dic5—62no—
411C2×Dic5—241no—
412C2×Dic5C2×#6712yes—
413D20—28no—
414D20—22no—
415D20—24no—
416D20—22no—
417D20C2×#6714yes—
418C4×D5—28no—
419C4×D5—22no—
420C4×D5—22no—
421Dic10—22no—
422C5×C8—61no—
423C5×C8—61no—
424#168—62no—
425H(5,𝔽2)—104no—
426H(5,𝔽2)—104no—
427C2×#41—31no—
428C2×#41—51no—
429C2×#41—52no—
430C2×#41—101no—
431C2×#41D3×D511yescharacteristic
432C22×D4—52no—
433C22×D4—51no—
434C22×D4—101no—
435C22×D4—102no—
436AGL(1,ℤ/8)—304no—
437#135—64no—
438C2×Q16—31no—
439C2×SD16—31no—
440C2×SD16—31no—
441C2×SD16—152no—
442C2×D8—31no—
443C2×D8—152no—
444C2×M16—151no—
445C22×C8—31no—
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—42no—
460C2×C3×C5C2×#12011yescharacteristic
461C2×C3×C5#57611yescharacteristic
462C2×C3×C5#57711yescharacteristic
463C3×D5—42no—
464C3×D5—44no—
465C5×D3—81no—
466C23×C3—21no—
467C23×C3—52no—
468C23×C3—108no—
469C23×C3—102no—
470C23×C3—104no—
471C23×C3—401no—
472C23×C3—401no—
473C23×C3—402no—
474C23×C3—402no—
475C23×C3D4×D511yescharacteristic
476C22×D3—21no—
477C3×Q8—21no—
478C3×Q8—102no—
479C3×Q8C2×C22⋊D512yes—
480C3×D4—24no—
481C3×D4—21no—
482C3×D4—54no—
483C3×D4—108no—
484C3×D4—108no—
485C3×D4—104no—
486C3×D4—102no—
487C3×D4—104no—
488C3×D4—102no—
489C3×D4C2×C22⋊D512yes—
490C2×C3×C4—21no—
491C2×C3×C4—24no—
492C2×C3×C4—52no—
493C2×C3×C4—108no—
494C2×C3×C4—102no—
495C2×C3×C4—102no—
496C2×C3×C4D4×D512yes—
497C2×C3×C4D4×D511yescharacteristic
498C2×C3×C4C2×C22⋊D512yes—
499C2×C3×C4C23×D511yescharacteristic
500#67—42no—
501#67—402no—
502C2×Dic3—21no—
503C2×Dic3—102no—
504C2×Dic3—401no—
505D12—21no—
506D12—21no—
507C4×D3—42no—
508Dic6—21no—
509Dic6—21no—
510C3⋊C8—21no—
511C3⋊C8—21no—
512C3⋊C8—102no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—22no—
516C22×C5—41no—
517C22×C5—41no—
518C22×C5—121no—
519C22×C5—121no—
520C22×C5—121no—
521C22×C5#95312yes—
522C22×C5C22×#6711yescharacteristic
523C2×D5—22no—
524C2×D5—22no—
525C2×D5—22no—
526C2×D5—24no—
527C2×D5—42no—
528C2×D5—42no—
529C2×D5—84no—
530C2×D5—88no—
531C4×C5—22no—
532C4×C5—121no—
533C4×C5#95312yes—
534C4×C5C22×#6711yescharacteristic
535C4×C5C22×#6711yescharacteristic
536Dic5—22no—
537Dic5—122no—
538C24—102no—
539C24—101no—
540#41—22no—
541#41—62no—
542#41—62no—
543#41—108no—
544#41—104no—
545#41—104no—
546#41—102no—
547#41—102no—
548#41#120114yescomplemented
549C2×Q8—31no—
550C2×Q8—51no—
551C2×Q8C2×D3×D511yescharacteristic
552C2×D4—21no—
553C2×D4—31no—
554C2×D4—52no—
555C2×D4—54no—
556C2×D4—51no—
557C2×D4—52no—
558C2×D4—61no—
559C2×D4—102no—
560C2×D4—108no—
561C2×D4—102no—
562C2×D4—104no—
563C2×D4—1016no—
564C2×D4—104no—
565C2×D4—102no—
566C2×D4—101no—
567C2×D4—302no—
568C2×D4C2×D3×D511yescharacteristic
569C22×C4—21no—
570C22×C4—52no—
571C22×C4—61no—
572C22×C4—102no—
573C22×C4—301no—
574C22×C4C2×D3×D511yescharacteristic
575Q16—62no—
576SD16—62no—
577SD16—62no—
578SD16—304no—
579D8—62no—
580D8—304no—
581M16—302no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—62no—
585C2×C8—152no—
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—22no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3—102no—
598C22×C3—102no—
599C22×C3—104no—
600C22×C3—102no—
601C22×C3—202no—
602C22×C3—202no—
603C22×C3—404no—
604C22×C3—408no—
605C22×C3#408312yes—
606C22×C3C2×D4×D511yescharacteristic
607C2×D3—41no—
608C2×D3—41no—
609C2×D3—41no—
610C3×C4—22no—
611C3×C4—102no—
612C3×C4#408312yes—
613C3×C4C2×D4×D511yescharacteristic
614C3×C4C22×C22⋊D511yescharacteristic
615Dic3—41no—
616Dic3—202no—
617C2×C5—22no—
618C2×C5—42no—
619C2×C5—241no—
620C2×C5#583511yescharacteristic
621C2×C5#583611yescharacteristic
622C2×C5C2×#95311yescharacteristic
623D5—42no—
624D5—44no—
625C23—21no—
626C23—52no—
627C23—61no—
628C23—108no—
629C23—102no—
630C23—104no—
631C23—401no—
632C23—401no—
633C23—402no—
634C23—402no—
635C23D5×#6711yescharacteristic
636Q8—21no—
637Q8—61no—
638Q8—61no—
639Q8—102no—
640Q8C2×#120112yes—
641D4—24no—
642D4—21no—
643D4—54no—
644D4—61no—
645D4—61no—
646D4—108no—
647D4—108no—
648D4—104no—
649D4—102no—
650D4—104no—
651D4—102no—
652D4—122no—
653D4—1202no—
654D4C2×#120112yes—
655C2×C4—21no—
656C2×C4—24no—
657C2×C4—52no—
658C2×C4—61no—
659C2×C4—108no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—122no—
663C2×C4—302no—
664C2×C4—1201no—
665C2×C4C2×#120112yes—
666C2×C4D5×#6712yes—
667C2×C4D5×#6711yescharacteristic
668C2×C4C22×D3×D511yescharacteristic
669C8—61no—
670C8—61no—
671C8—302no—
672C2×C3—22no—
673C2×C3—42no—
674C2×C3—202no—
675C2×C3—204no—
676C2×C3#6610311yescharacteristic
677C2×C3#6610411yescharacteristic
678C2×C3C2×#408311yescharacteristic
679D3—81no—
680C5#8410211yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—22no—
684C22—41no—
685C22—41no—
686C22—102no—
687C22—102no—
688C22—104no—
689C22—102no—
690C22—121no—
691C22—121no—
692C22—121no—
693C22—202no—
694C22—202no—
695C22—404no—
696C22—408no—
697C22#9156312yes—
698C22C2×D5×#6711yescharacteristic
699C4—22no—
700C4—102no—
701C4—121no—
702C4—602no—
703C4#9156312yes—
704C4C22×#120111yescharacteristic
705C4C2×D5×#6711yescharacteristic
706C3#1061564311yescharacteristic, complemented, Sylow
707C2—22no—
708C2—42no—
709C2—202no—
710C2—204no—
711C2—241no—
712C2#1175531811yescharacteristic
713C2#1175533711yescharacteristic
714C2C2×#9156311yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5C22×D4
hypercenterC2×#41D3×D5
hypocenterC3×C5#3012
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C3×#4149C2semidirect
2. C2×C5×#950C2semidirect
3. #11754607C2semidirect
4. C2×#91298C2semidirect
5. #11751333C2semidirect
6. #11749294C2semidirect
7. #11749270C2semidirect
8. #11749044C2semidirect
9. #11749021C2semidirect
10. C2×#90965C2semidirect
11. #11748342C2semidirect
14. C2×C5×#235C22semidirect
24. C2×C4⋊Dic15C22semidirect
25. C2×#6710C22semidirect
27. C2×C5×#216C22semidirect
28. C2×C5×#215C22semidirect
29. C2×C5×#214C22semidirect
30. C2×C5×#213C22semidirect
31. C22×C5×C3⋊C8C22semidirect
34. #91449C22semidirect
36. #91359C22semidirect
37. C2×#6655C22semidirect
39. C2×#6652C22semidirect
40. #91119C22semidirect
41. #91116C22semidirect
42. #90965C22semidirect
43. #90965C22semidirect
44. #90955C22semidirect
45. #90955C22semidirect
47. C2×#4149D3semidirect
61. C3×C5×#41D4semidirect
89. C2×C3×D20D4semidirect
113. C2×#950D5semidirect
213. C2×#235C2×D5semidirect
216. C2×#216C2×D5semidirect
217. C2×#215C2×D5semidirect
221. C2×#214C2×D5semidirect
224. C2×#213C2×D5semidirect
229. C22×C3⋊C8C2×D5semidirect
241. C5×#41#67semidirect
268. C2×D20#67semidirect
333. C3×#41C22⋊D5semidirect
548. #41#1201semidirect
591. C3×C5#3012semidirect
680. C5#84102semidirect
706. C3#10615643semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#41492
C2×C5×#9502
#117546072
C2×#912982
#117513332
#117492942
#117492702
#117490442
#117490212
C2×#909652
#117483422
#106156433
#841025