Finite Group Databasebeta

← #14424641

Subgroups — #14424641

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×#92100C211yesmaximal, characteristic, complemented
2C2×C3×C5×#135C211yesmaximal, characteristic, complemented
3#11756592C211yesmaximal, characteristic, complemented
4C2×#91838C211yesmaximal, characteristic, complemented
5#11751333C211yesmaximal, characteristic, complemented
6#11751288C212yesmaximal, complemented
7#11751273C212yesmaximal, complemented
8#11751270C212yesmaximal, complemented
9#11751257C212yesmaximal, complemented
10C2×#91105C211yesmaximal, characteristic, complemented
11#11751211C211yesmaximal, characteristic, complemented
12#10615643—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic
14C2×C3×C5×#41C2211yescharacteristic, complemented
15#92100—24no—
16#92100—24no—
17C2×#6821C2212yes—
18C2×D4×D15—22no—
19C2×D4×D15C2212yes—
20C2×#6817—21no—
21C2×#6817C2211yescharacteristic
22C22×D60—21no—
23C22×D60C2211yescharacteristic
24C3×C5×#135—24no—
25C2×C3×C5×Q16C2211yescharacteristic, complemented
26C2×C3×C5×SD16C2211yescharacteristic, complemented
27C2×C3×C5×SD16C2211yescharacteristic, complemented
28C2×C3×C5×D8C2211yescharacteristic, complemented
29C22×C3×C5×C8C2211yescharacteristic, complemented
30#91838—24no—
31#91835C2212yescomplemented
32C2×#6717C2212yescomplemented
33#91828—22no—
34#91827C2212yescomplemented
35C2×#6715C2212yescomplemented
36#91819—21no—
37C2×C4⋊Dic15C2211yescharacteristic, complemented
38#91813—21no—
39C2×#6710C2211yescharacteristic, complemented
40#91119C2212yescomplemented
41#91116C2212yescomplemented
42#91105C2212yescomplemented
43#91105C2212yescomplemented
44#91104C2212yescomplemented
45#91104C2212yescomplemented
46#83912—51nomaximal, Hall
47C2×#4149—31no—
48C2×C5×#135D311yescharacteristic, complemented
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×D15—21no—
59C23×D15—22no—
60C3×C5×#41—22no—
61C3×C5×#41—22no—
62C3×C5×#41—22no—
63C3×C5×#41D414yescomplemented
64C2×C3×C5×Q8C2311yescharacteristic
65C2×C3×C5×Q8C2311yescharacteristic
66C2×C3×C5×D4—21no—
67C2×C3×C5×D4—21no—
68C2×C3×C5×D4C2311yescharacteristic
69C2×C3×C5×D4C2311yescharacteristic
70C22×C3×C4×C5—21no—
71C22×C3×C4×C5—21no—
72C22×C3×C4×C5C2311yescharacteristic
73C2×#1220—22no—
74C2×#1220—22no—
75C2×#1220D412yes—
76C22×Dic15—21no—
77#6821—24no—
78#6821—24no—
79D4×D15—216no—
80D4×D15—24no—
81D4×D15—24no—
82#6817—28no—
83#6817—22no—
84#6817—22no—
85C2×D60—28no—
86C2×D60—22no—
87C2×D60—21no—
88C2×D60—22no—
89C2×D60D411yescharacteristic
90C2×D60D414yescomplemented
91C2×D60C2312yes—
92C2×C4×D15—22no—
93C2×C4×D15C2312yes—
94C2×Dic30D411yescharacteristic
95C3×C5×Q16—22no—
96C3×C5×SD16—22no—
97C3×C5×SD16—22no—
98C3×C5×D8—22no—
99C2×C3×C5×C8—22no—
100C2×C3×C5×C8C2311yescharacteristic
101C2×C3×C5×C8C2311yescharacteristic
102#6719—22no—
103#6717—24no—
104#6715—24no—
105#6714—22no—
106C4⋊Dic15—21no—
107C4⋊Dic15C2312yes—
108#6712—22no—
109#6710—22no—
110C2×C3⋊#168C2312yes—
111C2×#1009—51no—
112C2×C3×#135D511yescharacteristic, complemented
113#5833—51no—
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×#41C2×D311yescharacteristic
123C2×C5×#41C2×D311yescharacteristic, complemented
124#4149—64no—
125#4149—64no—
126C2×#713—32no—
127C2×D4×D5—32no—
128C2×D4×D5—62no—
129C2×#709—31no—
130C2×#709—61no—
131C22×D20—31no—
132C22×D20—61no—
133C5×#135—24no—
134C2×C5×Q16C2×D311yescharacteristic, complemented
135C2×C5×SD16C2×D311yescharacteristic, complemented
136C2×C5×SD16C2×D311yescharacteristic, complemented
137C2×C5×D8C2×D311yescharacteristic, complemented
138C22×C5×C8C2×D311yescharacteristic, complemented
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×C5—21no—
158C23×C3×C5C2×D411yescharacteristic
159C22×D15—22no—
160C22×D15—28no—
161C22×D15—24no—
162C22×D15—82no—
163C22×D15—82no—
164C22×D15—81no—
165C22×D15—81no—
166C22×D15C2×D412yes—
167C3×C5×Q8—21no—
168C3×C5×Q8—21no—
169C3×C5×Q8—21no—
170C3×C5×Q8C2×D412yes—
171C3×C5×D4—24no—
172C3×C5×D4—21no—
173C3×C5×D4—21no—
174C3×C5×D4—21no—
175C3×C5×D4—42no—
176C3×C5×D4C2×D412yes—
177C2×C3×C4×C5—21no—
178C2×C3×C4×C5—24no—
179C2×C3×C4×C5—21no—
180C2×C3×C4×C5—42no—
181C2×C3×C4×C5C2×D411yescharacteristic
182C2×C3×C4×C5C2×D412yes—
183C2×C3×C4×C5C2×D412yes—
184C2×C3×C4×C5C2411yescharacteristic
185#1220—28no—
186#1220—24no—
187#1220—82no—
188C2×Dic15—22no—
189C2×Dic15—81no—
190C2×Dic15C2×D412yes—
191D60—28no—
192D60—22no—
193D60—24no—
194D60—22no—
195D60C2×D414yes—
196C4×D15—28no—
197C4×D15—22no—
198C4×D15—22no—
199Dic30—22no—
200C3×C5×C8—21no—
201C3×C5×C8—21no—
202C3⋊#168—22no—
203C2×C3×#41C2×D511yescharacteristic
204C2×C3×#41C2×D511yescharacteristic, complemented
205#1009—104no—
206#1009—104no—
207C2×#239—52no—
208C2×D3×D4—52no—
209C2×D3×D4—102no—
210C2×#235—51no—
211C2×#235—101no—
212C22×D12—51no—
213C22×D12—101no—
214C3×#135—24no—
215C2×C3×Q16C2×D511yescharacteristic, complemented
216C2×C3×SD16C2×D511yescharacteristic, complemented
217C2×C3×SD16C2×D511yescharacteristic, complemented
218C2×C3×D8C2×D511yescharacteristic, complemented
219C22×C3×C8C2×D511yescharacteristic, complemented
220#949—104no—
221#946—52no—
222C2×#215—52no—
223#939—102no—
224#938—52no—
225C2×#213—52no—
226#930—101no—
227C2×C4⋊Dic3—51no—
228#924—101no—
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—22no—
241C5×#41#6714yescomplemented
242C2×C5×Q8C22×D311yescharacteristic
243C2×C5×Q8C22×D311yescharacteristic
244C2×C5×D4—21no—
245C2×C5×D4—21no—
246C2×C5×D4C22×D311yescharacteristic
247C2×C5×D4C22×D311yescharacteristic
248C22×C4×C5—21no—
249C22×C4×C5—21no—
250C22×C4×C5C22×D311yescharacteristic
251C2×C22⋊D5—32no—
252C2×C22⋊D5—62no—
253C2×C22⋊D5—62no—
254C22×Dic5—61no—
255#713—64no—
256#713—64no—
257D4×D5—64no—
258D4×D5—616no—
259D4×D5—64no—
260#709—68no—
261#709—62no—
262#709—62no—
263C2×D20—34no—
264C2×D20—32no—
265C2×D20—31no—
266C2×D20—62no—
267C2×D20—68no—
268C2×D20—61no—
269C2×D20—62no—
270C2×C4×D5—32no—
271C2×C4×D5—62no—
272C2×Dic10—31no—
273C5×Q16—22no—
274C5×SD16—22no—
275C5×SD16—22no—
276C5×D8—22no—
277C2×C5×C8—22no—
278C2×C5×C8C22×D311yescharacteristic
279C2×C5×C8C22×D311yescharacteristic
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)—151no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135D1511yescharacteristic, complemented
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—41no—
306C22×C3×C5—41no—
307C22×C3×C5—41no—
308C22×C3×C5#12012yes—
309C22×C3×C5C22×D411yescharacteristic
310C2×D15—22no—
311C2×D15—24no—
312C2×D15—22no—
313C2×D15—22no—
314C2×D15—42no—
315C2×D15—42no—
316C2×D15—84no—
317C2×D15—88no—
318C3×C4×C5—22no—
319C3×C4×C5—41no—
320C3×C4×C5#12012yes—
321C3×C4×C5C22×D411yescharacteristic
322C3×C4×C5C22×D411yescharacteristic
323Dic15—22no—
324Dic15—42no—
325C23×D3—102no—
326C23×D3—101no—
327C3×#41—22no—
328C3×#41—22no—
329C3×#41—22no—
330C3×#41C22⋊D514yescomplemented
331C2×C3×Q8C22×D511yescharacteristic
332C2×C3×Q8C22×D511yescharacteristic
333C2×C3×D4—21no—
334C2×C3×D4—21no—
335C2×C3×D4C22×D511yescharacteristic
336C2×C3×D4C22×D511yescharacteristic
337C22×C3×C4—21no—
338C22×C3×C4—21no—
339C22×C3×C4C22×D511yescharacteristic
340C2×#67—52no—
341C2×#67—102no—
342C2×#67—102no—
343C22×Dic3—101no—
344#239—104no—
345#239—104no—
346D3×D4—104no—
347D3×D4—1016no—
348D3×D4—104no—
349#235—108no—
350#235—102no—
351#235—102no—
352C2×D12—54no—
353C2×D12—52no—
354C2×D12—51no—
355C2×D12—102no—
356C2×D12—108no—
357C2×D12—101no—
358C2×D12—102no—
359C2×C4×D3—52no—
360C2×C4×D3—102no—
361C2×Dic6—51no—
362C3×Q16—22no—
363C3×SD16—22no—
364C3×SD16—22no—
365C3×D8—22no—
366C2×C3×C8—22no—
367C2×C3×C8C22×D511yescharacteristic
368C2×C3×C8C22×D511yescharacteristic
369#217—102no—
370#215—104no—
371#213—104no—
372(C2×D3)⋊C4—102no—
373C4⋊Dic3—52no—
374C4⋊Dic3—101no—
375Dic3⋊C4—102no—
376#208—102no—
377C2×C3⋊C8—52no—
378C23×C5—21no—
379C23×C5—21no—
380C23×C5D3×D411yescharacteristic
381C22×D5—32no—
382C22×D5—62no—
383C22×D5—68no—
384C22×D5—64no—
385C22×D5—242no—
386C22×D5—242no—
387C22×D5—241no—
388C22×D5—241no—
389C5×Q8—21no—
390C5×Q8—21no—
391C5×Q8—21no—
392C5×Q8C2×#6712yes—
393C5×D4—24no—
394C5×D4—21no—
395C5×D4—21no—
396C5×D4—21no—
397C5×D4—42no—
398C5×D4C2×#6712yes—
399C2×C4×C5—21no—
400C2×C4×C5—24no—
401C2×C4×C5—21no—
402C2×C4×C5—42no—
403C2×C4×C5D3×D411yescharacteristic
404C2×C4×C5D3×D412yes—
405C2×C4×C5C2×#6712yes—
406C2×C4×C5C23×D311yescharacteristic
407C22⋊D5—68no—
408C22⋊D5—64no—
409C22⋊D5—242no—
410C2×Dic5—32no—
411C2×Dic5—62no—
412C2×Dic5—241no—
413D20—34no—
414D20—68no—
415D20—64no—
416D20—62no—
417D20—62no—
418C4×D5—68no—
419C4×D5—62no—
420C4×D5—62no—
421Dic10—62no—
422C5×C8—21no—
423C5×C8—21no—
424#168—62no—
425H(5,𝔽2)—304no—
426H(5,𝔽2)—304no—
427C2×#41—151no—
428C2×#41—152no—
429C2×#41—301no—
430C2×#41C2×D1511yescharacteristic
431C2×#41C2×D1511yescharacteristic, complemented
432C22×D4—152no—
433C22×D4—151no—
434C22×D4—301no—
435C22×D4—302no—
436AGL(1,ℤ/8)—304no—
437#135—24no—
438C2×Q16C2×D1511yescharacteristic, complemented
439C2×SD16—152no—
440C2×SD16C2×D1511yescharacteristic, complemented
441C2×SD16C2×D1511yescharacteristic, complemented
442C2×D8—152no—
443C2×D8C2×D1511yescharacteristic, complemented
444C2×M16—151no—
445C22×C8C2×D1511yescharacteristic, complemented
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×C5—81no—
461C2×C3×C5C2×#12011yescharacteristic
462C2×C3×C5#57611yescharacteristic
463C2×C3×C5#57711yescharacteristic
464D15—42no—
465D15—44no—
466C23×C3—21no—
467C23×C3—21no—
468C23×C3D4×D511yescharacteristic
469C22×D3—52no—
470C22×D3—102no—
471C22×D3—108no—
472C22×D3—104no—
473C22×D3—402no—
474C22×D3—402no—
475C22×D3—401no—
476C22×D3—401no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8C2×C22⋊D512yes—
481C3×D4—24no—
482C3×D4—21no—
483C3×D4—21no—
484C3×D4—21no—
485C3×D4—42no—
486C3×D4C2×C22⋊D512yes—
487C2×C3×C4—21no—
488C2×C3×C4—24no—
489C2×C3×C4—21no—
490C2×C3×C4—42no—
491C2×C3×C4D4×D512yes—
492C2×C3×C4D4×D511yescharacteristic
493C2×C3×C4C2×C22⋊D512yes—
494C2×C3×C4C23×D511yescharacteristic
495#67—108no—
496#67—104no—
497#67—402no—
498C2×Dic3—52no—
499C2×Dic3—102no—
500C2×Dic3—401no—
501D12—54no—
502D12—108no—
503D12—102no—
504D12—104no—
505D12—102no—
506C4×D3—108no—
507C4×D3—102no—
508C4×D3—102no—
509Dic6—102no—
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—41no—
519C22×C5—41no—
520C22×C5—41no—
521C22×C5#93712yes—
522C22×C5C2×D3×D411yescharacteristic
523C2×D5—62no—
524C2×D5—62no—
525C2×D5—64no—
526C2×D5—62no—
527C2×D5—122no—
528C2×D5—122no—
529C2×D5—244no—
530C2×D5—248no—
531C4×C5—22no—
532C4×C5—41no—
533C4×C5#93712yes—
534C4×C5C2×D3×D411yescharacteristic
535C4×C5C22×#6711yescharacteristic
536Dic5—62no—
537Dic5—122no—
538C24—302no—
539C24—301no—
540#41—22no—
541#41—22no—
542#41—22no—
543#41—308no—
544#41—304no—
545#41—304no—
546#41—302no—
547#41—302no—
548#41#122014yescomplemented
549C2×Q8—151no—
550C2×Q8C22×D1511yescharacteristic
551C2×Q8C22×D1511yescharacteristic
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—152no—
555C2×D4—154no—
556C2×D4—151no—
557C2×D4—152no—
558C2×D4—302no—
559C2×D4—308no—
560C2×D4—302no—
561C2×D4—304no—
562C2×D4—3016no—
563C2×D4—304no—
564C2×D4—302no—
565C2×D4—301no—
566C2×D4—302no—
567C2×D4C22×D1511yescharacteristic
568C2×D4C22×D1511yescharacteristic
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—152no—
572C22×C4—302no—
573C22×C4—301no—
574C22×C4C22×D1511yescharacteristic
575Q16—22no—
576SD16—22no—
577SD16—22no—
578SD16—304no—
579D8—22no—
580D8—304no—
581M16—302no—
582C2×C8—22no—
583C2×C8—152no—
584C2×C8C22×D1511yescharacteristic
585C2×C8C22×D1511yescharacteristic
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—41no—
598C22×C3—41no—
599C22×C3—41no—
600C22×C3#408312yes—
601C22×C3C2×D4×D511yescharacteristic
602C2×D3—102no—
603C2×D3—102no—
604C2×D3—104no—
605C2×D3—102no—
606C2×D3—202no—
607C2×D3—202no—
608C2×D3—404no—
609C2×D3—408no—
610C3×C4—22no—
611C3×C4—41no—
612C3×C4#408312yes—
613C3×C4C2×D4×D511yescharacteristic
614C3×C4C22×C22⋊D511yescharacteristic
615Dic3—102no—
616Dic3—202no—
617C2×C5—22no—
618C2×C5—42no—
619C2×C5—81no—
620C2×C5#576911yescharacteristic
621C2×C5#577011yescharacteristic
622C2×C5C2×#93711yescharacteristic
623D5—122no—
624D5—124no—
625C23—21no—
626C23—21no—
627C23—152no—
628C23—308no—
629C23—302no—
630C23—304no—
631C23—1201no—
632C23—1201no—
633C23—1202no—
634C23—1202no—
635C23D4×D1511yescharacteristic
636Q8—21no—
637Q8—21no—
638Q8—21no—
639Q8—302no—
640Q8C2×#122012yes—
641D4—24no—
642D4—21no—
643D4—21no—
644D4—21no—
645D4—42no—
646D4—154no—
647D4—308no—
648D4—308no—
649D4—304no—
650D4—304no—
651D4—302no—
652D4—302no—
653D4—1202no—
654D4C2×#122012yes—
655C2×C4—21no—
656C2×C4—24no—
657C2×C4—21no—
658C2×C4—42no—
659C2×C4—152no—
660C2×C4—308no—
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—21no—
670C8—21no—
671C8—302no—
672C2×C3—22no—
673C2×C3—42no—
674C2×C3—81no—
675C2×C3#6610311yescharacteristic
676C2×C3#6610411yescharacteristic
677C2×C3C2×#408311yescharacteristic
678D3—202no—
679D3—204no—
680C5#8391211yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—22no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—304no—
690C22—302no—
691C22—302no—
692C22—302no—
693C22—602no—
694C22—602no—
695C22—1204no—
696C22—1208no—
697C22#9182612yes—
698C22C2×D4×D1511yescharacteristic
699C4—22no—
700C4—41no—
701C4—302no—
702C4—602no—
703C4#9182612yes—
704C4C2×D4×D1511yescharacteristic
705C4C22×#122011yescharacteristic
706C3#1061564311yescharacteristic, complemented, Sylow
707C2—22no—
708C2—42no—
709C2—81no—
710C2—602no—
711C2—604no—
712C2#1175652811yescharacteristic
713C2#1175652911yescharacteristic
714C2C2×#9182611yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC2×C3×C5×#135C2
socleC22×C3×C5C22×D4
hypercenterC2×#135D15
hypocenterC3×C5#3012
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#135

Complements

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

NH ≅ G/Ntype
1. C2×#92100C2semidirect
2. C2×C3×C5×#135C2semidirect
3. #11756592C2semidirect
4. C2×#91838C2semidirect
5. #11751333C2semidirect
6. #11751288C2semidirect
7. #11751273C2semidirect
8. #11751270C2semidirect
9. #11751257C2semidirect
10. C2×#91105C2semidirect
11. #11751211C2semidirect
14. C2×C3×C5×#41C22semidirect
25. C2×C3×C5×Q16C22semidirect
26. C2×C3×C5×SD16C22semidirect
27. C2×C3×C5×SD16C22semidirect
28. C2×C3×C5×D8C22semidirect
29. C22×C3×C5×C8C22semidirect
31. #91835C22semidirect
32. C2×#6717C22semidirect
34. #91827C22semidirect
35. C2×#6715C22semidirect
37. C2×C4⋊Dic15C22semidirect
39. C2×#6710C22semidirect
40. #91119C22semidirect
41. #91116C22semidirect
42. #91105C22semidirect
43. #91105C22semidirect
44. #91104C22semidirect
45. #91104C22semidirect
48. C2×C5×#135D3semidirect
63. C3×C5×#41D4semidirect
90. C2×D60D4semidirect
112. C2×C3×#135D5semidirect
123. C2×C5×#41C2×D3semidirect
134. C2×C5×Q16C2×D3semidirect
135. C2×C5×SD16C2×D3semidirect
136. C2×C5×SD16C2×D3semidirect
137. C2×C5×D8C2×D3semidirect
138. C22×C5×C8C2×D3semidirect
204. C2×C3×#41C2×D5semidirect
215. C2×C3×Q16C2×D5semidirect
216. C2×C3×SD16C2×D5semidirect
217. C2×C3×SD16C2×D5semidirect
218. C2×C3×D8C2×D5semidirect
219. C22×C3×C8C2×D5semidirect
241. C5×#41#67semidirect
291. C2×#135D15semidirect
330. C3×#41C22⋊D5semidirect
431. C2×#41C2×D15semidirect
438. C2×Q16C2×D15semidirect
440. C2×SD16C2×D15semidirect
441. C2×SD16C2×D15semidirect
443. C2×D8C2×D15semidirect
445. C22×C8C2×D15semidirect
548. #41#1220semidirect
591. C3×C5#3012semidirect
680. C5#83912semidirect
706. C3#10615643semidirect

Maximal subgroups

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

subgroupindex
C2×#921002
C2×C3×C5×#1352
#117565922
C2×#918382
#117513332
#117512882
#117512732
#117512702
#117512572
C2×#911052
#117512112
#106156433
#839125