Finite Group Databasebeta

← #14435607

Subgroups — #14435607

Order 1920.

812 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#65937C211yesmaximal, characteristic, complemented
2#11754503C211yesmaximal, characteristic, complemented
3#11751136C211yesmaximal, characteristic, complemented
4C5×#5036C211yesmaximal, characteristic
5#11748978C211yesmaximal, characteristic, complemented
6#11748978C211yesmaximal, characteristic, complemented
7#11748977C211yesmaximal, characteristic, complemented
8Dic5×#213C211yesmaximal, characteristic, complemented
9#11748537C211yesmaximal, characteristic, complemented
10#11748446C211yesmaximal, characteristic, complemented
11#11748319C211yesmaximal, characteristic, complemented
12#11747239C211yesmaximal, characteristic, complemented
13#11747237C211yesmaximal, characteristic, complemented
14#11747218C211yesmaximal, characteristic, complemented
15#11747217C211yesmaximal, characteristic, complemented
16#10611723—31nomaximal, Hall
17C22×C5×D12C2211yescharacteristic
18C3×C5×#121C2211yescharacteristic
19#91815C2211yescharacteristic
20C2×C5×#213C2211yescharacteristic
21C2×C5×#213C2211yescharacteristic
22C3×#4082—21no—
23C3×#4082C2211yescharacteristic, complemented
24C3×#4081—21no—
25C3×D4×Dic5C2211yescharacteristic, complemented
26C3×#4072C2211yescharacteristic
27C3×#4070C2211yescharacteristic
28C3×#4034C2211yescharacteristic, complemented
29C3×#4033C2211yescharacteristic, complemented
30C3×#4025—21no—
31C3×#4024—21no—
32D3×C22⋊Dic5—21no—
33D3×C22⋊Dic5—21no—
34#91435—21no—
35#91435—21no—
36Dic5×D12C2211yescharacteristic
37Dic5×D12C2211yescharacteristic
38Dic5×D12C2211yescharacteristic
39Dic5×D12C2211yescharacteristic
40C2×#6656C2211yescharacteristic
41C2×#6656C2211yescharacteristic
42#91116C2211yescharacteristic, complemented
43#91116C2211yescharacteristic, complemented
44#91114C2211yescharacteristic
45#91092C2211yescharacteristic, complemented
46#91091C2211yescharacteristic, complemented
47C5×#830C2211yescharacteristic
48C5×#809C2211yescharacteristic
49C5×#809C2211yescharacteristic
50#90990C2211yescharacteristic, complemented
51#90987C2211yescharacteristic, complemented
52#90982C2211yescharacteristic, complemented
53#90982C2211yescharacteristic, complemented
54#90971C2211yescharacteristic, complemented
55#90971C2211yescharacteristic, complemented
56#90966C2211yescharacteristic
57#90966C2211yescharacteristic
58#90952C2211yescharacteristic, complemented
59Dic5×C3⋊C8C2211yescharacteristic, complemented
60#83460—51nomaximal, Hall
61#66132—31no—
62#65937D311yescharacteristic, complemented
63C5×#447—31no—
64#65507—31no—
65#65442—31no—
66#65442—31no—
67#65441—31no—
68D8×Dic5—31no—
69#65324—31no—
70#65050—31no—
71#65048—31no—
72#65047—31no—
73#65046—31no—
74#65012—31no—
75#65009—31no—
76C23×C5×D3—21no—
77C2×C3×C5×D4—21no—
78C2×C3×C5×D4C2311yescharacteristic
79C22×C3×C4×C5C2311yescharacteristic
80C2×C5×D12—21no—
81C2×C5×D12—22no—
82C2×C5×D12—22no—
83C2×C5×D12C2311yescharacteristic
84C2×C5×D12C2311yescharacteristic
85C22×C3×Dic5—21no—
86C2×C3×Dic10—21no—
87C2×C3×Dic10C2311yescharacteristic
88C2×D3×Dic5—21no—
89C2×D3×Dic5—21no—
90C2×D3×Dic5—21no—
91C2×D3×Dic5—21no—
92C3×C5×C4⋊C4C2311yescharacteristic
93C3×C5×C22⋊C4—21no—
94#6719—21no—
95C4⋊Dic15C2311yescharacteristic
96C4⋊Dic15C2311yescharacteristic
97C4×Dic15—21no—
98C2×C3⋊#168C2311yescharacteristic
99C2×C3⋊#168C2311yescharacteristic
100C5×#213—22no—
101C5×#213—22no—
102C2×C5×C3⋊C8C2311yescharacteristic
103C2×C5×C3⋊C8C2311yescharacteristic
104C3×C22⋊Dic5—21no—
105C3×C22⋊Dic5—21no—
106C3×C22⋊Dic5—21no—
107C3×C22⋊Dic5—21no—
108C3×C22⋊Dic5D411yescharacteristic
109C3×C22⋊Dic5D411yescharacteristic
110C3×C4⋊Dic5D411yescharacteristic
111C3×C4⋊Dic5D411yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C3×#683—21no—
115C3×#683—21no—
116C3×C4×Dic5—21no—
117C3×C4×Dic5C2311yescharacteristic
118C3×C4×Dic5C2311yescharacteristic
119(C2×D3)⋊Dic5—21no—
120(C2×D3)⋊Dic5—21no—
121(C2×D3)⋊Dic5—21no—
122(C2×D3)⋊Dic5—21no—
123#6656—22no—
124#6656—22no—
125C3×#542—51no—
126#5521—51no—
127#5087—51no—
128#5084—51no—
129#5057—51no—
130#5057—51no—
131#5046—51no—
132#5045—51no—
133#5036D511yescharacteristic
134#5035—51no—
135#5026—51no—
136C4×#215—51no—
137#5014—51no—
138C4×#213—51no—
139#5000—51no—
140C22×C5×D4—31no—
141C2×C5×D8—31no—
142C2×C5×D8—31no—
143C5×#121C2×D311yescharacteristic
144C2×C22⋊Dic5—61no—
145C2×C22⋊Dic5—61no—
146#4082—21no—
147#4082C2×D311yescharacteristic, complemented
148#4081—21no—
149D4×Dic5—31no—
150D4×Dic5—31no—
151D4×Dic5—31no—
152D4×Dic5—31no—
153D4×Dic5—61no—
154D4×Dic5—61no—
155D4×Dic5C2×D311yescharacteristic, complemented
156C2×#687—31no—
157C2×#687—31no—
158#4072—31no—
159#4072C2×D311yescharacteristic
160#4070C2×D311yescharacteristic
161#4034C2×D311yescharacteristic, complemented
162#4033C2×D311yescharacteristic, complemented
163#4025—21no—
164#4024—21no—
165C5×#102—31no—
166C5×#102—31no—
167C5×C22⋊C8—31no—
168#3964—31no—
169#3964—31no—
170#3964—31no—
171#3964—31no—
172C22⋊#168—31no—
173#3950—31no—
174#3949—31no—
175#3948—31no—
176#3948—31no—
177#3947—31no—
178#3946—31no—
179#3946—31no—
180C8×Dic5—31no—
181#3940—31no—
182#3939—31no—
183#3118—151noSylow
184C23×C3×C5—21no—
185C23×C3×C5C2×D411yescharacteristic
186C22×C5×D3—21no—
187C22×C5×D3—21no—
188C22×C5×D3—24no—
189C22×C5×D3—81no—
190C22×C5×D3—81no—
191C3×C5×D4—21no—
192C3×C5×D4—21no—
193C3×C5×D4—81no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201C5×D12—24no—
202C5×D12—21no—
203C5×D12—21no—
204C5×D12#4112yes—
205C5×D12#4112yes—
206C2×C3×Dic5—21no—
207C2×C3×Dic5—21no—
208C2×C3×Dic5—81no—
209C2×C3×Dic5C2×D411yescharacteristic
210C2×C3×Dic5C2×D411yescharacteristic
211C2×C3×Dic5C2×D411yescharacteristic
212C2×C3×Dic5C2×D411yescharacteristic
213C3×Dic10—21no—
214C3×Dic10—21no—
215C3×Dic10—81no—
216D3×Dic5—81no—
217D3×Dic5—81no—
218D3×Dic5—81no—
219D3×Dic5—81no—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C5×C3⋊C8—21no—
223C5×C3⋊C8—21no—
224C22×D12C2×D511yescharacteristic
225C3×C4⋊Q8—51no—
226C3×#126—101no—
227C3×#124—51no—
228C3×#124—101no—
229C3×#123—101no—
230C3×C22⋊Q8—51no—
231C3×C22⋊Q8—101no—
232C3×#121C2×D511yescharacteristic
233C3×C4×Q8—51no—
234C3×C4×D4—51no—
235C3×#117—51no—
236C2×#215—51no—
237C2×#215—51no—
238C2×#213C2×D511yescharacteristic
239C2×#213C2×D511yescharacteristic
240#926—51no—
241#893—101no—
242#893—101no—
243D3×C22⋊C4—101no—
244D3×C22⋊C4—101no—
245C4×D12—51no—
246C4×D12—51no—
247C4×D12—51no—
248C4×D12—51no—
249#835—51no—
250#835—51no—
251#832—51no—
252#832—51no—
253#830—51no—
254#830C2×D511yescharacteristic
255#809—51no—
256#809—51no—
257#809C2×D511yescharacteristic
258#809C2×D511yescharacteristic
259#808—51no—
260#808—51no—
261#807—51no—
262#807—51no—
263C4⋊(C3⋊C8)—51no—
264C4⋊(C3⋊C8)—51no—
265#803—51no—
266C4×C3⋊C8—51no—
267C24×C5—61no—
268C2×C5×D4—21no—
269C2×C5×D4—31no—
270C2×C5×D4—31no—
271C2×C5×D4—62no—
272C2×C5×D4—62no—
273C2×C5×D4—61no—
274C2×C5×D4C22×D311yescharacteristic
275C22×C4×C5C22×D311yescharacteristic
276C22×Dic5—21no—
277C22×Dic5—61no—
278C22×Dic5—61no—
279C22×Dic5—61no—
280C22×Dic5—61no—
281C2×Dic10—21no—
282C2×Dic10C22×D311yescharacteristic
283C5×D8—62no—
284C5×D8—62no—
285C2×C5×C8—31no—
286C2×C5×C8—31no—
287C5×C4⋊C4C22×D311yescharacteristic
288C5×C22⋊C4—21no—
289C22⋊Dic5—21no—
290C22⋊Dic5—21no—
291C22⋊Dic5—21no—
292C22⋊Dic5—21no—
293C22⋊Dic5—61no—
294C22⋊Dic5—61no—
295C22⋊Dic5—61no—
296C22⋊Dic5—61no—
297C22⋊Dic5—61no—
298C22⋊Dic5#6711yescharacteristic
299C22⋊Dic5#6711yescharacteristic
300#687—62no—
301#687—62no—
302C4⋊Dic5—31no—
303C4⋊Dic5—31no—
304C4⋊Dic5#6711yescharacteristic
305C4⋊Dic5#6711yescharacteristic
306C4⋊Dic5C22×D311yescharacteristic
307#683—21no—
308#683—21no—
309#683—21no—
310C4×Dic5—21no—
311C4×Dic5—61no—
312C4×Dic5C22×D311yescharacteristic
313C4×Dic5C22×D311yescharacteristic
314C2×#168—31no—
315C2×#168—31no—
316#542—51no—
317#518—151no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—151no—
322#463—151no—
323#463—151no—
324#450—151no—
325#447—31no—
326#442—151no—
327#440—151no—
328C4×SD16—151no—
329C4×D8—151no—
330#433—151no—
331C22×C3×C5—21no—
332C22×C3×C5—21no—
333C22×C3×C5—21no—
334C22×C3×C5—41no—
335C22×C3×C5—41no—
336C22×C3×C5—41no—
337C22×C3×C5C22×D411yescharacteristic
338C2×C5×D3—22no—
339C2×C5×D3—22no—
340C2×C5×D3—41no—
341C2×C5×D3—41no—
342C2×C5×D3—41no—
343C2×C5×D3—41no—
344C2×C5×D3—84no—
345C3×C4×C5—21no—
346C3×C4×C5—41no—
347C3×C4×C5C2×#4111yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349Dic15—41no—
350Dic15—41no—
351C3×Dic5—21no—
352C3×Dic5—21no—
353C3×Dic5—21no—
354C3×Dic5—21no—
355C3×Dic5—41no—
356C3×Dic5—41no—
357C23×D3—21no—
358C2×C3×Q8—51no—
359C2×C3×Q8—101no—
360C2×C3×D4—21no—
361C2×C3×D4C22×D511yescharacteristic
362C22×C3×C4—101no—
363C22×C3×C4C22×D511yescharacteristic
364C2×D12—21no—
365C2×D12—22no—
366C2×D12—22no—
367C2×D12C22×D511yescharacteristic
368C2×D12C22×D511yescharacteristic
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×C4×D3—101no—
373C3×C4⋊C4—51no—
374C3×C4⋊C4—51no—
375C3×C4⋊C4—51no—
376C3×C4⋊C4—101no—
377C3×C4⋊C4—101no—
378C3×C4⋊C4—101no—
379C3×C4⋊C4C22×D511yescharacteristic
380C3×C22⋊C4—21no—
381C3×C22⋊C4—51no—
382C3×C22⋊C4—51no—
383C3×C22⋊C4—101no—
384C3×C22⋊C4—101no—
385C3×C22⋊C4—101no—
386C3×C22⋊C4—101no—
387C3×C42—51no—
388C3×C42—51no—
389C3×C42—101no—
390#217—101no—
391#215—102no—
392#215—102no—
393#213—22no—
394#213—22no—
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—51no—
401C4×Dic3—101no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8—51no—
404C2×C3⋊C8C22×D511yescharacteristic
405C2×C3⋊C8C22×D511yescharacteristic
406C23×C5—21no—
407C23×C5—64no—
408C23×C5—61no—
409C23×C5—61no—
410C23×C5—241no—
411C23×C5—241no—
412C23×C5C2×#6711yescharacteristic
413C5×D4—21no—
414C5×D4—21no—
415C5×D4—32no—
416C5×D4—32no—
417C5×D4—64no—
418C5×D4—61no—
419C5×D4—61no—
420C5×D4—81no—
421C2×C4×C5—21no—
422C2×C4×C5—21no—
423C2×C4×C5—21no—
424C2×C4×C5C2×#6711yescharacteristic
425C2×C4×C5C23×D311yescharacteristic
426C2×Dic5—21no—
427C2×Dic5—21no—
428C2×Dic5—61no—
429C2×Dic5—61no—
430C2×Dic5—81no—
431C2×Dic5—241no—
432C2×Dic5—241no—
433C2×Dic5—241no—
434C2×Dic5—241no—
435C2×Dic5C2×#6711yescharacteristic
436C2×Dic5C2×#6711yescharacteristic
437C2×Dic5C2×#6711yescharacteristic
438C2×Dic5C2×#6711yescharacteristic
439Dic10—21no—
440Dic10—21no—
441Dic10—81no—
442C5×C8—61no—
443C5×C8—61no—
444#168—61no—
445#168—61no—
446C22×D4—31no—
447C2×SD16—151no—
448C2×SD16—151no—
449C2×D8—31no—
450C2×D8—31no—
451C4⋊Q8—51no—
452#126—101no—
453#124—51no—
454#124—101no—
455#123—101no—
456C22⋊Q8—51no—
457C22⋊Q8—101no—
458#121D3×D511yescharacteristic
459C4×Q8—51no—
460C4×D4—51no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—51no—
468#117—151no—
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—151no—
472#107—151no—
473#106—151no—
474#106—151no—
475C4⋊C8—151no—
476C4⋊C8—151no—
477#103—151no—
478#103—151no—
479#102—31no—
480#102—31no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—31no—
486C22⋊C8—151no—
487#97—151no—
488C4×C8—151no—
489C2×C3×C5—41no—
490C2×C3×C5—81no—
491C2×C3×C5#52511yescharacteristic
492C2×C3×C5#57611yescharacteristic
493C2×C3×C5#57711yescharacteristic
494C5×D3—42no—
495C5×D3—42no—
496C23×C3—21no—
497C23×C3D4×D511yescharacteristic
498C22×D3—21no—
499C22×D3—21no—
500C22×D3—24no—
501C22×D3—81no—
502C22×D3—81no—
503C3×Q8—101no—
504C3×Q8—101no—
505C3×Q8—401no—
506C3×D4—21no—
507C3×D4—21no—
508C3×D4—81no—
509C2×C3×C4—21no—
510C2×C3×C4—21no—
511C2×C3×C4—21no—
512C2×C3×C4—51no—
513C2×C3×C4—51no—
514C2×C3×C4—51no—
515C2×C3×C4—51no—
516C2×C3×C4—101no—
517C2×C3×C4—101no—
518C2×C3×C4—401no—
519C2×C3×C4D4×D511yescharacteristic
520C2×C3×C4C23×D511yescharacteristic
521C2×Dic3—101no—
522C2×Dic3—101no—
523D12—24no—
524D12—21no—
525D12—21no—
526D12#71112yes—
527D12#71112yes—
528C4×D3—401no—
529C4×D3—401no—
530C4×D3—401no—
531C4×D3—401no—
532C3⋊C8—21no—
533C3⋊C8—21no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5—41no—
540C22×C5—41no—
541C22×C5—41no—
542C22×C5—62no—
543C22×C5—62no—
544C22×C5—121no—
545C22×C5—121no—
546C22×C5—121no—
547C22×C5—121no—
548C22×C5—244no—
549C22×C5C22×#6711yescharacteristic
550C4×C5—21no—
551C4×C5—41no—
552C4×C5D3×#4111yescharacteristic
553C4×C5D3×#4111yescharacteristic
554Dic5—21no—
555Dic5—21no—
556Dic5—21no—
557Dic5—21no—
558Dic5—41no—
559Dic5—41no—
560Dic5—121no—
561Dic5—121no—
562C24—61no—
563C2×Q8—51no—
564C2×Q8—101no—
565C2×D4—21no—
566C2×D4—31no—
567C2×D4—31no—
568C2×D4—62no—
569C2×D4—62no—
570C2×D4—61no—
571C2×D4C2×D3×D511yescharacteristic
572C22×C4—101no—
573C22×C4—301no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4C2×D3×D511yescharacteristic
578SD16—302no—
579SD16—302no—
580D8—62no—
581D8—62no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—151no—
585C2×C8—151no—
586C4⋊C4—51no—
587C4⋊C4—51no—
588C4⋊C4—51no—
589C4⋊C4—101no—
590C4⋊C4—101no—
591C4⋊C4—101no—
592C4⋊C4—151no—
593C4⋊C4—151no—
594C4⋊C4C2×D3×D511yescharacteristic
595C22⋊C4—21no—
596C22⋊C4—51no—
597C22⋊C4—51no—
598C22⋊C4—101no—
599C22⋊C4—101no—
600C22⋊C4—101no—
601C22⋊C4—101no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—51no—
608C42—51no—
609C42—101no—
610C42—301no—
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3C2×D4×D511yescharacteristic
619C2×D3—22no—
620C2×D3—22no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—84no—
626C3×C4—21no—
627C3×C4—41no—
628C3×C4—101no—
629C3×C4—101no—
630C3×C4—101no—
631C3×C4—101no—
632C3×C4—201no—
633C3×C4—201no—
634C3×C4C2×#71111yescharacteristic
635C3×C4C2×#71111yescharacteristic
636Dic3—201no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5—81no—
640C2×C5—122no—
641C2×C5—122no—
642C2×C5#582811yescharacteristic
643C2×C5#583511yescharacteristic
644C2×C5#583711yescharacteristic
645C23—21no—
646C23—64no—
647C23—61no—
648C23—61no—
649C23—241no—
650C23—241no—
651C23D5×#6711yescharacteristic
652Q8—101no—
653Q8—101no—
654Q8—401no—
655D4—21no—
656D4—21no—
657D4—32no—
658D4—32no—
659D4—64no—
660D4—61no—
661D4—61no—
662D4—81no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—51no—
667C2×C4—51no—
668C2×C4—51no—
669C2×C4—51no—
670C2×C4—101no—
671C2×C4—101no—
672C2×C4—301no—
673C2×C4—301no—
674C2×C4—401no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4—1201no—
679C2×C4D5×#6711yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—61no—
682C8—61no—
683C8—301no—
684C8—301no—
685C2×C3—41no—
686C2×C3—81no—
687C2×C3#6592011yescharacteristic
688C2×C3#6609111yescharacteristic
689C2×C3#6610911yescharacteristic
690D3—42no—
691D3—42no—
692C5#8346011yescharacteristic, complemented, Sylow
693C22—21no—
694C22—21no—
695C22—21no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—62no—
700C22—62no—
701C22—121no—
702C22—121no—
703C22—121no—
704C22—121no—
705C22—244no—
706C22C2×D5×#6711yescharacteristic
707C4—21no—
708C4—41no—
709C4—101no—
710C4—101no—
711C4—101no—
712C4—101no—
713C4—201no—
714C4—201no—
715C4—601no—
716C4—601no—
717C4D3×#71111yescharacteristic
718C4D3×#71111yescharacteristic
719C3#1061172311yescharacteristic, complemented, Sylow
720C2—41no—
721C2—81no—
722C2—122no—
723C2—122no—
724C2#1175469111yescharacteristic
725C2#1175479511yescharacteristic
726C2#1175531711yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#121C22
socleC22×C3×C5C22×D4
prime radicalC5×#5036C2
hypercenter#121D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #121

Complements

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

NH ≅ G/Ntype
1. C3×#65937C2semidirect
2. #11754503C2semidirect
3. #11751136C2semidirect
5. #11748978C2semidirect
6. #11748978C2semidirect
7. #11748977C2semidirect
8. Dic5×#213C2semidirect
9. #11748537C2semidirect
10. #11748446C2semidirect
11. #11748319C2semidirect
12. #11747239C2semidirect
13. #11747237C2semidirect
14. #11747218C2semidirect
15. #11747217C2semidirect
23. C3×#4082C22semidirect
25. C3×D4×Dic5C22semidirect
28. C3×#4034C22semidirect
29. C3×#4033C22semidirect
42. #91116C22semidirect
43. #91116C22semidirect
45. #91092C22semidirect
46. #91091C22semidirect
50. #90990C22semidirect
51. #90987C22semidirect
52. #90982C22semidirect
53. #90982C22semidirect
54. #90971C22semidirect
55. #90971C22semidirect
58. #90952C22semidirect
59. Dic5×C3⋊C8C22semidirect
62. #65937D3semidirect
147. #4082C2×D3semidirect
155. D4×Dic5C2×D3semidirect
161. #4034C2×D3semidirect
162. #4033C2×D3semidirect
611. C3×C5#3118semidirect
692. C5#83460semidirect
719. C3#10611723semidirect

Maximal subgroups

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

subgroupindex
C3×#659372
#117545032
#117511362
C5×#50362
#117489782
#117489772
Dic5×#2132
#117485372
#117484462
#117483192
#117472392
#117472372
#117472182
#117472172
#106117233
#834605