Finite Group Databasebeta

← #14424719

Subgroups — #14424719

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×#92019C211yesmaximal, characteristic, complemented
2C2×#91838C211yesmaximal, characteristic, complemented
3C5×#5833C211yesmaximal, characteristic, complemented
4C2×C3×#4096C211yesmaximal, characteristic, complemented
5#11749408C212yesmaximal, complemented
6#11749398C212yesmaximal, complemented
7#11749162C212yesmaximal, complemented
8#11749152C212yesmaximal, complemented
9C2×#90969C211yesmaximal, characteristic, complemented
10#11748368C211yesmaximal, characteristic, complemented
11#11748345C211yesmaximal, characteristic, complemented
12#10615155—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic, complemented
14C22×D60C2211yescharacteristic
15C2×C5×#235C2211yescharacteristic
16C2×C3×#709C2211yescharacteristic
17C2×#6790—22no—
18#92019—24no—
19#92019—24no—
20C2×D3×D20C2212yes—
21C2×D5×D12—21no—
22C2×#6773—21no—
23C2×#6769C2212yes—
24#91838—24no—
25C2×#6717C2212yescomplemented
26C2×#6715C2212yescomplemented
27C2×#6710C2211yescharacteristic, complemented
28C5×#946C2212yescomplemented
29C5×#939—22no—
30C5×#938C2212yescomplemented
31C5×#930—21no—
32C2×C5×C4⋊Dic3C2211yescharacteristic, complemented
33C5×#924—21no—
34C3×#4096—24no—
35C2×C3×#689C2211yescharacteristic, complemented
36C2×C3×#688C2211yescharacteristic, complemented
37C2×C3×#687C2211yescharacteristic, complemented
38C2×C3×#686C2211yescharacteristic, complemented
39C22×C3×#168C2211yescharacteristic, complemented
40#90970C2212yescomplemented
41#90969C2212yescomplemented
42#90969C2212yescomplemented
43#90964C2212yescomplemented
44(C2×D3)⋊#168C2212yescomplemented
45(C2×D3)⋊#168C2212yescomplemented
46#83912—51nomaximal, Hall
47C2×#4149—31no—
48C5×#537—31no—
49C2×#4096D311yescharacteristic, complemented
50C2×#4095—31no—
51#65523—31no—
52#65336—32no—
53#65335—32no—
54#65326—32no—
55#65325—32no—
56#65255—31no—
57C2×#3941—31no—
58C23×D15—21no—
59C22×D3×D5—22no—
60C3×C5×#41—22no—
61C3×C5×#41—22no—
62C2×C3×C5×Q8C2311yescharacteristic
63C2×C3×C5×D4—21no—
64C2×C3×C5×D4C2311yescharacteristic
65C22×C3×C4×C5—21no—
66C22×C3×C4×C5C2311yescharacteristic
67C2×D60—21no—
68C2×D60—22no—
69C2×D60D414yescomplemented
70C2×D60C2312yes—
71C2×C5×#67—22no—
72C2×C5×#67D412yes—
73C22×C5×Dic3—21no—
74C5×#235—22no—
75C5×#235—22no—
76C2×C5×D12D411yescharacteristic
77C2×C4×C5×D3C2312yes—
78C2×C5×Dic6D411yescharacteristic
79C2×C3×C22⋊D5—21no—
80C3×#709—22no—
81C3×#709D414yescomplemented
82C2×C3×D20C2311yescharacteristic
83C2×C3×C4×D5—21no—
84C2×C3×Dic10C2311yescharacteristic
85#6790—216no—
86C2×#1203—22no—
87C2×#1202—22no—
88C2×#1200—22no—
89D3×D20—24no—
90D3×D20—24no—
91D5×D12—28no—
92#6773—28no—
93#6769—24no—
94#6769—24no—
95#6717—24no—
96#6715—24no—
97#6710—22no—
98C2×C3⋊#168C2312yes—
99C5×#217—22no—
100C5×(C2×D3)⋊C4—22no—
101C5×C4⋊Dic3—21no—
102C5×C4⋊Dic3C2312yes—
103C5×Dic3⋊C4—22no—
104C3×#689—22no—
105C3×#688—22no—
106C3×#687—22no—
107C3×#686—22no—
108C2×C3×#168—22no—
109C2×C3×#168C2311yescharacteristic
110C2×C3×#168C2311yescharacteristic
111C2×#1009—51no—
112C2×C3×#135—51no—
113#5833D511yescharacteristic, complemented
114C2×#949—51no—
115#5232—51no—
116#5187—52no—
117#5172—52no—
118#5169—52no—
119#5156—52no—
120C2×#821—51no—
121#5110—51no—
122C2×C5×#41—31no—
123C2×C5×#41C2×D311yescharacteristic, complemented
124#4149—64no—
125#4149—64no—
126C2×#713—61no—
127C2×D4×D5—61no—
128C2×D4×D5—62no—
129C2×#709—32no—
130C2×#709C2×D311yescharacteristic
131C22×D20—31no—
132C22×D20—32no—
133C5×C22⋊Q8—32no—
134C5×C22⋊Q8—61no—
135C5×#121—32no—
136C5×#121—61no—
137C5×#121—62no—
138C2×C5×C4⋊C4—31no—
139#4096—24no—
140#4095—64no—
141C2×#689C2×D311yescharacteristic, complemented
142C2×#688—32no—
143C2×#688C2×D311yescharacteristic, complemented
144C2×#687C2×D311yescharacteristic, complemented
145C2×#686—32no—
146C2×#686C2×D311yescharacteristic, complemented
147C2×#681—31no—
148C22×#168C2×D311yescharacteristic, complemented
149C22⋊#168—32no—
150C22⋊#168—32no—
151#3942—32no—
152#3941—32no—
153#3941—32no—
154#3941—32no—
155#3012—151noSylow
156C23×C3×C5—21no—
157C23×C3×C5C2×D411yescharacteristic
158C22×D15—22no—
159C22×D15—24no—
160C22×D15—81no—
161C22×D15—81no—
162C22×C5×D3C2×D412yes—
163C22×C3×D5—21no—
164C2×D3×D5—28no—
165C2×D3×D5—82no—
166C2×D3×D5—82no—
167C3×C5×Q8—21no—
168C3×C5×Q8—21no—
169C3×C5×D4—21no—
170C3×C5×D4—21no—
171C3×C5×D4—42no—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—42no—
174C2×C3×C4×C5C2×D411yescharacteristic
175C2×C3×C4×C5C2×D412yes—
176C2×C3×C4×C5C2×D412yes—
177C2×C3×C4×C5C2411yescharacteristic
178D60—24no—
179D60—22no—
180D60C2×D414yes—
181C5×#67—24no—
182C5×#67—82no—
183C2×C5×Dic3—22no—
184C2×C5×Dic3—81no—
185C2×C5×Dic3C2×D412yes—
186C5×D12—22no—
187C4×C5×D3—22no—
188C4×C5×D3—22no—
189C5×Dic6—22no—
190C3×C22⋊D5—24no—
191C2×C3×Dic5—21no—
192C3×D20—21no—
193C3×D20C2×D412yes—
194C3×C4×D5—24no—
195C3×Dic10—21no—
196C3×Dic10C2×D412yes—
197#1203—28no—
198#1202—28no—
199#1200—28no—
200C3⋊#168—22no—
201C3×#168—21no—
202C3×#168—21no—
203C2×C3×#41—51no—
204C2×C3×#41C2×D511yescharacteristic, complemented
205#1009—104no—
206#1009—104no—
207C2×#239—52no—
208C2×D3×D4—52no—
209C2×D3×D4—102no—
210C2×#235—101no—
211C2×#235C2×D511yescharacteristic
212C22×D12—51no—
213C22×D12—101no—
214C3×#135—104no—
215C2×C3×Q16—51no—
216C2×C3×SD16—51no—
217C2×C3×SD16—51no—
218C2×C3×D8—51no—
219C22×C3×C8—51no—
220#949—104no—
221#946C2×D512yescomplemented
222C2×#215—52no—
223#939—22no—
224#938C2×D512yescomplemented
225C2×#213—52no—
226#930—21no—
227C2×C4⋊Dic3C2×D511yescharacteristic, complemented
228#924—21no—
229C2×#208—51no—
230#835—52no—
231#832—52no—
232#821—52no—
233#821—52no—
234(C2×D3)⋊C8—52no—
235(C2×D3)⋊C8—52no—
236C23×D5—62no—
237C23×D5—61no—
238C5×#41—22no—
239C5×#41—22no—
240C5×#41—62no—
241C5×#41—62no—
242C2×C5×Q8—31no—
243C2×C5×Q8C22×D311yescharacteristic
244C2×C5×D4—21no—
245C2×C5×D4—32no—
246C2×C5×D4—31no—
247C2×C5×D4—62no—
248C2×C5×D4C22×D311yescharacteristic
249C22×C4×C5—21no—
250C22×C4×C5—32no—
251C22×C4×C5—61no—
252C22×C4×C5C22×D311yescharacteristic
253C2×C22⋊D5—21no—
254C2×C22⋊D5—62no—
255#713—68no—
256D4×D5—68no—
257D4×D5—616no—
258#709—22no—
259#709—64no—
260#709—64no—
261#709#6714yescomplemented
262C2×D20—34no—
263C2×D20—32no—
264C2×D20—64no—
265C2×D20—62no—
266C2×D20—61no—
267C2×D20—62no—
268C2×D20—64no—
269C2×D20C22×D311yescharacteristic
270C2×C4×D5—21no—
271C2×C4×D5—62no—
272C2×Dic10C22×D311yescharacteristic
273C5×C4⋊C4—32no—
274C5×C4⋊C4—62no—
275C5×C4⋊C4—61no—
276C5×C22⋊C4—62no—
277C5×C22⋊C4—62no—
278#689—22no—
279#688—22no—
280#688—64no—
281#687—22no—
282#686—22no—
283#686—64no—
284#681—62no—
285C2×#168—22no—
286C2×#168—32no—
287C2×#168C22×D311yescharacteristic
288C2×#168C22×D311yescharacteristic
289C2×H(5,𝔽2)—151no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—51no—
292#537—31no—
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—41no—
303C22×C3×C5—41no—
304C22×C3×C5—41no—
305C22×C3×C5#12012yes—
306C22×C3×C5C22×D411yescharacteristic
307C2×D15—24no—
308C2×D15—42no—
309C2×D15—42no—
310C2×D15—84no—
311C2×C5×D3—22no—
312C2×C5×D3—22no—
313C2×C5×D3—22no—
314C2×C3×D5—22no—
315C2×C3×D5—41no—
316C2×C3×D5—41no—
317D3×D5—88no—
318C3×C4×C5—41no—
319C3×C4×C5#12012yes—
320C3×C4×C5C22×D411yescharacteristic
321C3×C4×C5C22×D411yescharacteristic
322C3×Dic5—22no—
323C5×Dic3—22no—
324C5×Dic3—42no—
325C23×D3—101no—
326C23×D3—102no—
327C3×#41—22no—
328C3×#41—22no—
329C3×#41—54no—
330C3×#41—102no—
331C2×C3×Q8—51no—
332C2×C3×Q8C22×D511yescharacteristic
333C2×C3×D4—21no—
334C2×C3×D4—51no—
335C2×C3×D4—101no—
336C2×C3×D4C22×D511yescharacteristic
337C22×C3×C4—21no—
338C22×C3×C4—101no—
339C22×C3×C4C22×D511yescharacteristic
340C2×#67—22no—
341C2×#67—102no—
342C2×#67C22⋊D512yes—
343C22×Dic3—21no—
344#239—104no—
345#239—104no—
346D3×D4—104no—
347D3×D4—104no—
348D3×D4—1016no—
349#235—22no—
350#235—22no—
351#235—108no—
352C2×D12—54no—
353C2×D12—52no—
354C2×D12—108no—
355C2×D12—102no—
356C2×D12—102no—
357C2×D12—101no—
358C2×D12C22⋊D511yescharacteristic
359C2×C4×D3—102no—
360C2×C4×D3C22×D512yes—
361C2×Dic6C22⋊D511yescharacteristic
362C3×Q16—102no—
363C3×SD16—102no—
364C3×SD16—102no—
365C3×D8—102no—
366C2×C3×C8—51no—
367C2×C3×C8—51no—
368C2×C3×C8—102no—
369#217—22no—
370#215—104no—
371#213—104no—
372(C2×D3)⋊C4—22no—
373C4⋊Dic3—21no—
374C4⋊Dic3C22×D512yes—
375Dic3⋊C4—22no—
376#208—102no—
377C2×C3⋊C8—52no—
378C23×C5—21no—
379C23×C5—32no—
380C23×C5D3×D411yescharacteristic
381C22×D5—21no—
382C22×D5—68no—
383C22×D5—62no—
384C22×D5—64no—
385C22×D5—242no—
386C22×D5—242no—
387C22×D5—241no—
388C22×D5—241no—
389C5×Q8—21no—
390C5×Q8—21no—
391C5×Q8—62no—
392C5×D4—21no—
393C5×D4—21no—
394C5×D4—42no—
395C5×D4—64no—
396C5×D4—62no—
397C5×D4—242no—
398C2×C4×C5—21no—
399C2×C4×C5—32no—
400C2×C4×C5—42no—
401C2×C4×C5—62no—
402C2×C4×C5—62no—
403C2×C4×C5—62no—
404C2×C4×C5—241no—
405C2×C4×C5D3×D411yescharacteristic
406C2×C4×C5D3×D412yes—
407C2×C4×C5C2×#6712yes—
408C2×C4×C5C23×D311yescharacteristic
409C22⋊D5—24no—
410C22⋊D5—68no—
411C2×Dic5—21no—
412D20—21no—
413D20—34no—
414D20—68no—
415D20—64no—
416D20—62no—
417D20C2×#6712yes—
418C4×D5—24no—
419C4×D5—68no—
420Dic10—21no—
421Dic10C2×#6712yes—
422#168—21no—
423#168—21no—
424#168—62no—
425H(5,𝔽2)—304no—
426H(5,𝔽2)—304no—
427C2×#41—31no—
428C2×#41—51no—
429C2×#41—152no—
430C2×#41—301no—
431C2×#41D3×D511yescharacteristic, complemented
432C22×D4—152no—
433C22×D4—151no—
434C22×D4—301no—
435C22×D4—302no—
436AGL(1,ℤ/8)—304no—
437#135—104no—
438C2×Q16—51no—
439C2×SD16—51no—
440C2×SD16—51no—
441C2×SD16—152no—
442C2×D8—51no—
443C2×D8—152no—
444C2×M16—151no—
445C22×C8—51no—
446C22⋊Q8—32no—
447C22⋊Q8—61no—
448#121—32no—
449#121—61no—
450#121—62no—
451C2×C4⋊C4—31no—
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—81no—
460C2×C3×C5C2×#12011yescharacteristic
461C2×C3×C5#57611yescharacteristic
462C2×C3×C5#57711yescharacteristic
463D15—44no—
464C3×D5—42no—
465C5×D3—42no—
466C23×C3—21no—
467C23×C3—101no—
468C23×C3C2×C22⋊D511yescharacteristic
469C22×D3—108no—
470C22×D3—102no—
471C22×D3—104no—
472C22×D3—402no—
473C22×D3—402no—
474C22×D3—401no—
475C22×D3—401no—
476C22×D3C2×C22⋊D512yes—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—52no—
480C3×Q8—101no—
481C3×D4—21no—
482C3×D4—21no—
483C3×D4—42no—
484C3×D4—52no—
485C3×D4—104no—
486C3×D4—101no—
487C2×C3×C4—21no—
488C2×C3×C4—42no—
489C2×C3×C4—101no—
490C2×C3×C4—104no—
491C2×C3×C4D4×D512yes—
492C2×C3×C4D4×D512yes—
493C2×C3×C4C2×C22⋊D511yescharacteristic
494C2×C3×C4C23×D511yescharacteristic
495#67—24no—
496#67—82no—
497#67—108no—
498C2×Dic3—22no—
499C2×Dic3—81no—
500C2×Dic3C2×C22⋊D512yes—
501D12—22no—
502D12—54no—
503D12—108no—
504D12—102no—
505D12—104no—
506C4×D3—22no—
507C4×D3—22no—
508C4×D3—108no—
509Dic6—22no—
510C3×C8—101no—
511C3×C8—101no—
512C3⋊C8—102no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—41no—
516C22×C5—41no—
517C22×C5—41no—
518C22×C5—62no—
519C22×C5—62no—
520C22×C5—62no—
521C22×C5#93712yes—
522C22×C5C2×D3×D411yescharacteristic
523C2×D5—22no—
524C2×D5—41no—
525C2×D5—41no—
526C2×D5—64no—
527C2×D5—122no—
528C2×D5—122no—
529C2×D5—248no—
530C2×D5—244no—
531C4×C5—41no—
532C4×C5—62no—
533C4×C5—122no—
534C4×C5#93712yes—
535C4×C5C2×D3×D411yescharacteristic
536C4×C5C22×#6711yescharacteristic
537Dic5—22no—
538C24—302no—
539C24—301no—
540#41—22no—
541#41—22no—
542#41—54no—
543#41—62no—
544#41—62no—
545#41—102no—
546#41—304no—
547#41—304no—
548#41—308no—
549C2×Q8—31no—
550C2×Q8—51no—
551C2×Q8C2×D3×D511yescharacteristic
552C2×D4—21no—
553C2×D4—32no—
554C2×D4—31no—
555C2×D4—51no—
556C2×D4—62no—
557C2×D4—101no—
558C2×D4—154no—
559C2×D4—152no—
560C2×D4—302no—
561C2×D4—304no—
562C2×D4—304no—
563C2×D4—308no—
564C2×D4—302no—
565C2×D4—3016no—
566C2×D4—302no—
567C2×D4—301no—
568C2×D4C2×D3×D511yescharacteristic
569C22×C4—21no—
570C22×C4—32no—
571C22×C4—61no—
572C22×C4—101no—
573C22×C4—302no—
574C22×C4C2×D3×D511yescharacteristic
575Q16—102no—
576SD16—102no—
577SD16—102no—
578SD16—304no—
579D8—102no—
580D8—304no—
581M16—302no—
582C2×C8—51no—
583C2×C8—51no—
584C2×C8—102no—
585C2×C8—152no—
586C4⋊C4—32no—
587C4⋊C4—62no—
588C4⋊C4—61no—
589C22⋊C4—62no—
590C22⋊C4—62no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3—102no—
598C22×C3—201no—
599C22×C3—201no—
600C22×C3#408312yes—
601C22×C3C22×C22⋊D511yescharacteristic
602C2×D3—22no—
603C2×D3—22no—
604C2×D3—22no—
605C2×D3—104no—
606C2×D3—202no—
607C2×D3—202no—
608C2×D3—408no—
609C2×D3—404no—
610C3×C4—41no—
611C3×C4—102no—
612C3×C4#408312yes—
613C3×C4C2×D4×D511yescharacteristic
614C3×C4C2×D4×D511yescharacteristic
615Dic3—22no—
616Dic3—42no—
617C2×C5—22no—
618C2×C5—81no—
619C2×C5—122no—
620C2×C5#576911yescharacteristic
621C2×C5#577011yescharacteristic
622C2×C5C2×#93711yescharacteristic
623D5—42no—
624D5—124no—
625C23—21no—
626C23—32no—
627C23—101no—
628C23—308no—
629C23—302no—
630C23—304no—
631C23—1201no—
632C23—1201no—
633C23—1202no—
634C23—1202no—
635C23D3×C22⋊D511yescharacteristic
636Q8—21no—
637Q8—21no—
638Q8—52no—
639Q8—62no—
640Q8—101no—
641D4—21no—
642D4—21no—
643D4—42no—
644D4—52no—
645D4—64no—
646D4—62no—
647D4—104no—
648D4—101no—
649D4—154no—
650D4—242no—
651D4—308no—
652D4—308no—
653D4—302no—
654D4—304no—
655C2×C4—21no—
656C2×C4—32no—
657C2×C4—42no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—101no—
662C2×C4—104no—
663C2×C4—241no—
664C2×C4—308no—
665C2×C4D5×#6712yes—
666C2×C4D3×C22⋊D511yescharacteristic
667C2×C4#679012yes—
668C2×C4C22×D3×D511yescharacteristic
669C8—101no—
670C8—101no—
671C8—302no—
672C2×C3—22no—
673C2×C3—81no—
674C2×C3—202no—
675C2×C3C2×#408311yescharacteristic
676C2×C3#6616911yescharacteristic
677C2×C3#6617111yescharacteristic
678D3—42no—
679D3—204no—
680C5#8391211yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—62no—
687C22—62no—
688C22—62no—
689C22—102no—
690C22—201no—
691C22—201no—
692C22—304no—
693C22—602no—
694C22—602no—
695C22—1204no—
696C22—1208no—
697C22#9157712yes—
698C22C2×D3×C22⋊D511yescharacteristic
699C4—41no—
700C4—62no—
701C4—102no—
702C4—122no—
703C4#9157712yes—
704C4C2×D5×#6711yescharacteristic
705C4C2×#679011yescharacteristic
706C3#1061515511yescharacteristic, complemented, Sylow
707C2—22no—
708C2—81no—
709C2—122no—
710C2—202no—
711C2—604no—
712C2#1175532511yescharacteristic
713C2#1175532611yescharacteristic
714C2C2×#9157711yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
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×#92019C2semidirect
2. C2×#91838C2semidirect
3. C5×#5833C2semidirect
4. C2×C3×#4096C2semidirect
5. #11749408C2semidirect
6. #11749398C2semidirect
7. #11749162C2semidirect
8. #11749152C2semidirect
9. C2×#90969C2semidirect
10. #11748368C2semidirect
11. #11748345C2semidirect
13. C2×C3×C5×#41C22semidirect
25. C2×#6717C22semidirect
26. C2×#6715C22semidirect
27. C2×#6710C22semidirect
28. C5×#946C22semidirect
30. C5×#938C22semidirect
32. C2×C5×C4⋊Dic3C22semidirect
35. C2×C3×#689C22semidirect
36. C2×C3×#688C22semidirect
37. C2×C3×#687C22semidirect
38. C2×C3×#686C22semidirect
39. C22×C3×#168C22semidirect
40. #90970C22semidirect
41. #90969C22semidirect
42. #90969C22semidirect
43. #90964C22semidirect
44. (C2×D3)⋊#168C22semidirect
45. (C2×D3)⋊#168C22semidirect
49. C2×#4096D3semidirect
69. C2×D60D4semidirect
81. C3×#709D4semidirect
113. #5833D5semidirect
123. C2×C5×#41C2×D3semidirect
141. C2×#689C2×D3semidirect
143. C2×#688C2×D3semidirect
144. C2×#687C2×D3semidirect
146. C2×#686C2×D3semidirect
148. C22×#168C2×D3semidirect
204. C2×C3×#41C2×D5semidirect
221. #946C2×D5semidirect
224. #938C2×D5semidirect
227. C2×C4⋊Dic3C2×D5semidirect
261. #709#67semidirect
431. C2×#41D3×D5semidirect
591. C3×C5#3012semidirect
680. C5#83912semidirect
706. C3#10615155semidirect

Maximal subgroups

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

subgroupindex
C2×#920192
C2×#918382
C5×#58332
C2×C3×#40962
#117494082
#117493982
#117491622
#117491522
C2×#909692
#117483682
#117483452
#106151553
#839125