Finite Group Databasebeta

← #14435674

Subgroups — #14435674

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
1#11756280C211yesmaximal, characteristic, complemented
2C5×#5534C211yesmaximal, characteristic, complemented
3C3×#65289C211yesmaximal, characteristic, complemented
4#11748554C211yesmaximal, characteristic, complemented
5#11748525C211yesmaximal, characteristic
6#11748466C211yesmaximal, characteristic, complemented
7#11748378C211yesmaximal, characteristic, complemented
8#11747058C211yesmaximal, characteristic, complemented
9C4×#6660C211yesmaximal, characteristic, complemented
10#11747046C211yesmaximal, characteristic, complemented
11#11747046C211yesmaximal, characteristic, complemented
12#11747025C211yesmaximal, characteristic, complemented
13C4×#6654C211yesmaximal, characteristic, complemented
14#11746966C211yesmaximal, characteristic, complemented
15#11746885C211yesmaximal, characteristic, complemented
16#10615191—31nomaximal, Hall
17C22×D60C2211yescharacteristic
18C3×C5×#117C2211yescharacteristic
19#91815C2211yescharacteristic
20#91782—21no—
21#91782—21no—
22C22⋊C4×D15—21no—
23C22⋊C4×D15—21no—
24C4×D60C2211yescharacteristic
25C4×D60C2211yescharacteristic
26C4×D60C2211yescharacteristic
27C4×D60C2211yescharacteristic
28C5×#930C2211yescharacteristic
29C5×#924C2211yescharacteristic
30C5×#898—21no—
31C5×#896—21no—
32C5×#885—21no—
33C5×#883—21no—
34C5×#875C2211yescharacteristic, complemented
35C4×C5×D12C2211yescharacteristic, complemented
36C5×#869C2211yescharacteristic, complemented
37C4×C5×Dic6C2211yescharacteristic, complemented
38C2×#6660C2211yescharacteristic
39C2×#6660C2211yescharacteristic
40C2×#6654C2211yescharacteristic
41C2×#6654C2211yescharacteristic
42C3×C22⋊#168C2211yescharacteristic
43C3×C22⋊#168C2211yescharacteristic
44C3×C4⋊#168C2211yescharacteristic, complemented
45C3×C4⋊#168C2211yescharacteristic, complemented
46C3×#3935C2211yescharacteristic, complemented
47C3×C4×#168C2211yescharacteristic, complemented
48#90988C2211yescharacteristic, complemented
49#90988C2211yescharacteristic, complemented
50#90985C2211yescharacteristic, complemented
51#90985C2211yescharacteristic, complemented
52#90973C2211yescharacteristic, complemented
53#90973C2211yescharacteristic, complemented
54#90969C2211yescharacteristic
55#90969C2211yescharacteristic
56#90969C2211yescharacteristic
57#90969C2211yescharacteristic
58#90967C2211yescharacteristic, complemented
59#90967C2211yescharacteristic, complemented
60#79383—51nomaximal, Hall
61C5×#542—31no—
62#65855—31no—
63#65376—31no—
64#65373—31no—
65#65346—31no—
66#65346—31no—
67#65335—31no—
68#65334—31no—
69#65325—31no—
70#65324—31no—
71#65315—31no—
72C4×#688—31no—
73#65303—31no—
74C4×#686—31no—
75#65289D311yescharacteristic, complemented
76C23×D15—21no—
77C22×C3×C4×C5C2311yescharacteristic
78C2×D60—21no—
79C2×D60—22no—
80C2×D60—22no—
81C2×D60C2311yescharacteristic
82C2×D60C2311yescharacteristic
83C2×C4×D15—21no—
84C2×C4×D15—21no—
85C2×C4×D15—21no—
86C2×C4×D15—21no—
87C2×C5×#67—21no—
88C2×C5×D12C2311yescharacteristic
89C2×C4×C5×D3—21no—
90C2×C5×Dic6—21no—
91C2×C5×Dic6C2311yescharacteristic
92C3×C5×C4⋊C4D411yescharacteristic
93C3×C5×C4⋊C4D411yescharacteristic
94C3×C5×C22⋊C4D411yescharacteristic
95C3×C5×C22⋊C4D411yescharacteristic
96C3×C42×C5C2311yescharacteristic
97C3×C42×C5C2311yescharacteristic
98#6719—21no—
99#6714—21no—
100#6714—21no—
101#6714—21no—
102#6714—21no—
103C4⋊Dic15C2311yescharacteristic
104C4⋊Dic15C2311yescharacteristic
105C4×Dic15—21no—
106C5×#217—21no—
107C5×(C2×D3)⋊C4—21no—
108C5×(C2×D3)⋊C4—21no—
109C5×(C2×D3)⋊C4—21no—
110C5×(C2×D3)⋊C4—21no—
111C5×C4⋊Dic3—21no—
112C5×C4⋊Dic3C2311yescharacteristic
113C5×C4⋊Dic3C2311yescharacteristic
114C5×Dic3⋊C4—21no—
115C5×Dic3⋊C4—21no—
116C4×C5×Dic3—21no—
117C2×C3×#168C2311yescharacteristic
118C2×C3×#168C2311yescharacteristic
119C2×C3×#168C2311yescharacteristic
120C2×C3×#168C2311yescharacteristic
121#6660—22no—
122#6660—22no—
123#6654—22no—
124#6654—22no—
125#5534D511yescharacteristic, complemented
126#5521—51no—
127C3×#433—51no—
128#4846—51no—
129#4844—51no—
130#4844—51no—
131#4842—51no—
132#4737—51no—
133#4732—51no—
134#4731—51no—
135#4723—51no—
136#4711—51no—
137#4710—51no—
138C4×D24—51no—
139C4×#204—51no—
140C22×D20—31no—
141C5×C4⋊Q8—31no—
142C5×#126—61no—
143C5×#124—31no—
144C5×#124—61no—
145C5×#123—61no—
146C5×C22⋊Q8—31no—
147C5×C22⋊Q8—61no—
148C5×#121—31no—
149C4×C5×Q8—31no—
150C4×C5×D4—31no—
151C5×#117C2×D311yescharacteristic
152C2×#688—31no—
153C2×#688—31no—
154C2×#686—31no—
155C2×#686—31no—
156#4072—31no—
157#4039—61no—
158#4039—61no—
159D5×C22⋊C4—61no—
160D5×C22⋊C4—61no—
161C4×D20—31no—
162C4×D20—31no—
163C4×D20—31no—
164C4×D20—31no—
165#3967—31no—
166#3967—31no—
167#3964—31no—
168#3964—31no—
169C22⋊#168C2×D311yescharacteristic
170C22⋊#168C2×D311yescharacteristic
171#3941—31no—
172#3941—31no—
173#3941—31no—
174#3941—31no—
175#3940—31no—
176#3940—31no—
177#3939—31no—
178#3939—31no—
179C4⋊#168C2×D311yescharacteristic, complemented
180C4⋊#168C2×D311yescharacteristic, complemented
181#3935C2×D311yescharacteristic, complemented
182C4×#168C2×D311yescharacteristic, complemented
183#3118—151noSylow
184C23×C3×C5C2×D411yescharacteristic
185C22×D15—21no—
186C22×D15—21no—
187C22×D15—24no—
188C22×D15—81no—
189C22×D15—81no—
190C22×C5×D3—21no—
191C2×C3×C4×C5—21no—
192C2×C3×C4×C5—21no—
193C2×C3×C4×C5C2×D411yescharacteristic
194C2×C3×C4×C5C2×D411yescharacteristic
195C2×C3×C4×C5C2×D411yescharacteristic
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201D60—24no—
202D60—21no—
203D60—21no—
204D60#4112yes—
205D60#4112yes—
206C4×D15—81no—
207C4×D15—81no—
208C4×D15—81no—
209C4×D15—81no—
210C5×#67—81no—
211C2×C5×Dic3—21no—
212C2×C5×Dic3—21no—
213C2×C5×Dic3—21no—
214C5×D12—21no—
215C5×D12—21no—
216C4×C5×D3—81no—
217C5×Dic6—21no—
218C5×Dic6—21no—
219C5×Dic6—81no—
220C3×#168—21no—
221C3×#168—21no—
222C3×#168—21no—
223C3×#168—21no—
224C22×D12—51no—
225C3×#117C2×D511yescharacteristic
226#930C2×D511yescharacteristic
227#926—51no—
228#924C2×D511yescharacteristic
229C2×D24—51no—
230C2×D24—51no—
231C2×#204—51no—
232C2×#204—51no—
233#898—21no—
234#896—21no—
235#893—101no—
236#893—101no—
237#885—21no—
238#883—21no—
239D3×C22⋊C4—101no—
240D3×C22⋊C4—101no—
241#875C2×D511yescharacteristic, complemented
242C4×D12—51no—
243C4×D12—51no—
244C4×D12—51no—
245C4×D12—51no—
246C4×D12C2×D511yescharacteristic, complemented
247#869C2×D511yescharacteristic, complemented
248C4×Dic6C2×D511yescharacteristic, complemented
249C3×C4⋊C8—51no—
250C3×C4⋊C8—51no—
251C3×C22⋊C8—51no—
252C3×C22⋊C8—51no—
253C3×#97—51no—
254C3×C4×C8—51no—
255#821—51no—
256#821—51no—
257#821—51no—
258#821—51no—
259#821—51no—
260#821—51no—
261#818—51no—
262#818—51no—
263#817—51no—
264#817—51no—
265#816—51no—
266#816—51no—
267C23×D5—61no—
268C2×C5×Q8—31no—
269C2×C5×Q8—61no—
270C2×C5×D4—31no—
271C2×C5×D4—61no—
272C22×C4×C5—61no—
273C22×C4×C5C22×D311yescharacteristic
274C2×D20—31no—
275C2×D20—31no—
276C2×D20—62no—
277C2×D20—62no—
278C2×D20—61no—
279C2×C4×D5—61no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×C4×D5—61no—
283C5×C4⋊C4—31no—
284C5×C4⋊C4—31no—
285C5×C4⋊C4—61no—
286C5×C4⋊C4—61no—
287C5×C4⋊C4—61no—
288C5×C4⋊C4D1211yescharacteristic
289C5×C4⋊C4D1211yescharacteristic
290C5×C22⋊C4—61no—
291C5×C22⋊C4—61no—
292C5×C22⋊C4—61no—
293C5×C22⋊C4—61no—
294C5×C22⋊C4—61no—
295C5×C22⋊C4D1211yescharacteristic
296C5×C22⋊C4D1211yescharacteristic
297C42×C5—61no—
298C42×C5C22×D311yescharacteristic
299C42×C5C22×D311yescharacteristic
300C22⋊Dic5—61no—
301#688—62no—
302#688—62no—
303#686—62no—
304#686—62no—
305#685—61no—
306#685—61no—
307#685—61no—
308#685—61no—
309C4⋊Dic5—31no—
310C4⋊Dic5—31no—
311C4×Dic5—61no—
312C2×#168C22×D311yescharacteristic
313C2×#168C22×D311yescharacteristic
314C2×#168C22×D311yescharacteristic
315C2×#168C22×D311yescharacteristic
316#542—31no—
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—151no—
326#442—151no—
327#440—151no—
328C4×SD16—151no—
329C4×D8—151no—
330#433—51no—
331C22×C3×C5—21no—
332C22×C3×C5—21no—
333C22×C3×C5—21no—
334C22×C3×C5C22×D411yescharacteristic
335C2×D15—22no—
336C2×D15—22no—
337C2×D15—41no—
338C2×D15—41no—
339C2×D15—41no—
340C2×D15—41no—
341C2×D15—84no—
342C2×C5×D3—41no—
343C2×C5×D3—41no—
344C2×C5×D3—41no—
345C3×C4×C5—21no—
346C3×C4×C5—21no—
347C3×C4×C5—21no—
348C3×C4×C5—21no—
349C3×C4×C5—21no—
350C3×C4×C5C2×#4111yescharacteristic
351C3×C4×C5C2×#4111yescharacteristic
352Dic15—41no—
353Dic15—41no—
354C5×Dic3—41no—
355C5×Dic3—41no—
356C5×Dic3—41no—
357C23×D3—101no—
358C22×C3×C4C22×D511yescharacteristic
359C2×#67—21no—
360C2×D12—51no—
361C2×D12—51no—
362C2×D12—102no—
363C2×D12—102no—
364C2×D12—101no—
365C2×D12C22×D511yescharacteristic
366C2×C4×D3—21no—
367C2×C4×D3—101no—
368C2×C4×D3—101no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×Dic6—21no—
372C2×Dic6C22×D511yescharacteristic
373C2×C3×C8—51no—
374C2×C3×C8—51no—
375C2×C3×C8—51no—
376C2×C3×C8—51no—
377C3×C4⋊C4C22⋊D511yescharacteristic
378C3×C4⋊C4C22⋊D511yescharacteristic
379C3×C22⋊C4C22⋊D511yescharacteristic
380C3×C22⋊C4C22⋊D511yescharacteristic
381C3×C42C22×D511yescharacteristic
382C3×C42C22×D511yescharacteristic
383#217—21no—
384#217—101no—
385(C2×D3)⋊C4—21no—
386(C2×D3)⋊C4—21no—
387(C2×D3)⋊C4—21no—
388(C2×D3)⋊C4—21no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392(C2×D3)⋊C4—101no—
393C4⋊Dic3—21no—
394C4⋊Dic3—51no—
395C4⋊Dic3—51no—
396C4⋊Dic3C22×D511yescharacteristic
397C4⋊Dic3C22×D511yescharacteristic
398Dic3⋊C4—21no—
399Dic3⋊C4—21no—
400C4×Dic3—21no—
401C4×Dic3—101no—
402D24—102no—
403D24—102no—
404#204—102no—
405#204—102no—
406C23×C5—61no—
407C23×C5C2×D1211yescharacteristic
408C22×D5—61no—
409C22×D5—61no—
410C22×D5—64no—
411C22×D5—241no—
412C22×D5—241no—
413C5×Q8—61no—
414C5×Q8—61no—
415C5×Q8—241no—
416C5×D4—61no—
417C5×D4—61no—
418C5×D4—241no—
419C2×C4×C5—21no—
420C2×C4×C5—21no—
421C2×C4×C5—61no—
422C2×C4×C5—61no—
423C2×C4×C5—61no—
424C2×C4×C5—241no—
425C2×C4×C5C2×D1211yescharacteristic
426C2×C4×C5C2×D1211yescharacteristic
427C2×C4×C5C2×D1211yescharacteristic
428C2×C4×C5C2×D1211yescharacteristic
429C2×C4×C5C2×D1211yescharacteristic
430C2×C4×C5C23×D311yescharacteristic
431C2×Dic5—61no—
432C2×Dic5—61no—
433D20—32no—
434D20—32no—
435D20—64no—
436D20—61no—
437D20—61no—
438C4×D5—241no—
439C4×D5—241no—
440C4×D5—241no—
441C4×D5—241no—
442#168—21no—
443#168—21no—
444#168—21no—
445#168—21no—
446C22×D4—151no—
447C2×SD16—151no—
448C2×SD16—151no—
449C2×D8—151no—
450C2×D8—151no—
451C4⋊Q8—31no—
452#126—61no—
453#124—31no—
454#124—61no—
455#123—61no—
456C22⋊Q8—31no—
457C22⋊Q8—61no—
458#121—31no—
459C4×Q8—31no—
460C4×D4—31no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—151no—
468#117D3×D511yescharacteristic
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—151no—
472#107—151no—
473#106—151no—
474#106—151no—
475C4⋊C8—51no—
476C4⋊C8—51no—
477#103—151no—
478#103—151no—
479#102—151no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—51no—
486C22⋊C8—51no—
487#97—51no—
488C4×C8—51no—
489C2×C3×C5—41no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493D15—42no—
494D15—42no—
495C5×D3—81no—
496C23×C3C2×C22⋊D511yescharacteristic
497C22×D3—21no—
498C22×D3—101no—
499C22×D3—101no—
500C22×D3—104no—
501C22×D3—401no—
502C22×D3—401no—
503C2×C3×C4—21no—
504C2×C3×C4—21no—
505C2×C3×C4C2×C22⋊D511yescharacteristic
506C2×C3×C4C2×C22⋊D511yescharacteristic
507C2×C3×C4C2×C22⋊D511yescharacteristic
508C2×C3×C4C2×C22⋊D511yescharacteristic
509C2×C3×C4C2×C22⋊D511yescharacteristic
510C2×C3×C4C23×D511yescharacteristic
511#67—81no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—101no—
516C2×Dic3—101no—
517D12—21no—
518D12—21no—
519D12—52no—
520D12—52no—
521D12—104no—
522D12—101no—
523D12—101no—
524C4×D3—81no—
525C4×D3—401no—
526C4×D3—401no—
527C4×D3—401no—
528C4×D3—401no—
529Dic6—21no—
530Dic6—21no—
531Dic6—81no—
532C3×C8—101no—
533C3×C8—101no—
534C3×C8—101no—
535C3×C8—101no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5—121no—
540C22×C5—121no—
541C22×C5—121no—
542C22×C5C22×D1211yescharacteristic
543C2×D5—62no—
544C2×D5—62no—
545C2×D5—121no—
546C2×D5—121no—
547C2×D5—121no—
548C2×D5—121no—
549C2×D5—244no—
550C4×C5—21no—
551C4×C5—21no—
552C4×C5—21no—
553C4×C5—21no—
554C4×C5—21no—
555C4×C5—121no—
556C4×C5—121no—
557C4×C5—121no—
558C4×C5D3×#4111yescharacteristic
559C4×C5D3×#4111yescharacteristic
560Dic5—121no—
561Dic5—121no—
562C24—301no—
563C2×Q8—31no—
564C2×Q8—61no—
565C2×D4—31no—
566C2×D4—61no—
567C2×D4—151no—
568C2×D4—151no—
569C2×D4—302no—
570C2×D4—302no—
571C2×D4—301no—
572C22×C4—61no—
573C22×C4—301no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4C2×D3×D511yescharacteristic
578SD16—302no—
579SD16—302no—
580D8—302no—
581D8—302no—
582C2×C8—51no—
583C2×C8—51no—
584C2×C8—51no—
585C2×C8—51no—
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—151no—
592C4⋊C4—151no—
593C4⋊C4#120311yescharacteristic
594C4⋊C4#120311yescharacteristic
595C22⋊C4—61no—
596C22⋊C4—61no—
597C22⋊C4—61no—
598C22⋊C4—61no—
599C22⋊C4—61no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4#120311yescharacteristic
606C22⋊C4#120311yescharacteristic
607C42—61no—
608C42—301no—
609C42C2×D3×D511yescharacteristic
610C42C2×D3×D511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3C22×C22⋊D511yescharacteristic
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—102no—
620C2×D3—102no—
621C2×D3—201no—
622C2×D3—201no—
623C2×D3—201no—
624C2×D3—201no—
625C2×D3—404no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4D5×#4111yescharacteristic
632C3×C4D5×#4111yescharacteristic
633Dic3—41no—
634Dic3—41no—
635Dic3—41no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5—241no—
640C2×C5#552411yescharacteristic
641C2×C5#575111yescharacteristic
642C2×C5#575211yescharacteristic
643D5—122no—
644D5—122no—
645C23—61no—
646C23—304no—
647C23—301no—
648C23—301no—
649C23—1201no—
650C23—1201no—
651C23C2×#120311yescharacteristic
652Q8—61no—
653Q8—61no—
654Q8—241no—
655D4—61no—
656D4—61no—
657D4—152no—
658D4—152no—
659D4—241no—
660D4—304no—
661D4—301no—
662D4—301no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—241no—
669C2×C4—301no—
670C2×C4—301no—
671C2×C4—1201no—
672C2×C4—1201no—
673C2×C4—1201no—
674C2×C4—1201no—
675C2×C4C2×#120311yescharacteristic
676C2×C4C2×#120311yescharacteristic
677C2×C4C2×#120311yescharacteristic
678C2×C4C2×#120311yescharacteristic
679C2×C4C2×#120311yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—101no—
682C8—101no—
683C8—101no—
684C8—101no—
685C2×C3—41no—
686C2×C3#6616211yescharacteristic
687C2×C3#6616911yescharacteristic
688C2×C3#6617111yescharacteristic
689D3—81no—
690D3—202no—
691D3—202no—
692C5#7938311yescharacteristic, complemented, Sylow
693C22—21no—
694C22—21no—
695C22—21no—
696C22—121no—
697C22—121no—
698C22—121no—
699C22—302no—
700C22—302no—
701C22—601no—
702C22—601no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C22×#120311yescharacteristic
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—21no—
712C4—121no—
713C4—121no—
714C4—121no—
715C4—601no—
716C4—601no—
717C4#9201611yescharacteristic
718C4#9201611yescharacteristic
719C3#1061519111yescharacteristic, complemented, Sylow
720C2—41no—
721C2—241no—
722C2—602no—
723C2—602no—
724C2#1175459211yescharacteristic
725C2#1175530511yescharacteristic
726C2#1175530811yescharacteristic
subgroupG/H
centerC22C22×#1203
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#117C22
socleC22×C3×C5C22×D4
prime radical#11748525C2
hypercenter#117D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #117

Complements

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

NH ≅ G/Ntype
1. #11756280C2semidirect
2. C5×#5534C2semidirect
3. C3×#65289C2semidirect
4. #11748554C2semidirect
6. #11748466C2semidirect
7. #11748378C2semidirect
8. #11747058C2semidirect
9. C4×#6660C2semidirect
10. #11747046C2semidirect
11. #11747046C2semidirect
12. #11747025C2semidirect
13. C4×#6654C2semidirect
14. #11746966C2semidirect
15. #11746885C2semidirect
34. C5×#875C22semidirect
35. C4×C5×D12C22semidirect
36. C5×#869C22semidirect
37. C4×C5×Dic6C22semidirect
44. C3×C4⋊#168C22semidirect
45. C3×C4⋊#168C22semidirect
46. C3×#3935C22semidirect
47. C3×C4×#168C22semidirect
48. #90988C22semidirect
49. #90988C22semidirect
50. #90985C22semidirect
51. #90985C22semidirect
52. #90973C22semidirect
53. #90973C22semidirect
58. #90967C22semidirect
59. #90967C22semidirect
75. #65289D3semidirect
125. #5534D5semidirect
179. C4⋊#168C2×D3semidirect
180. C4⋊#168C2×D3semidirect
181. #3935C2×D3semidirect
182. C4×#168C2×D3semidirect
241. #875C2×D5semidirect
246. C4×D12C2×D5semidirect
247. #869C2×D5semidirect
248. C4×Dic6C2×D5semidirect
611. C3×C5#3118semidirect
692. C5#79383semidirect
719. C3#10615191semidirect

Maximal subgroups

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

subgroupindex
#117562802
C5×#55342
C3×#652892
#117485542
#117485252
#117484662
#117483782
#117470582
C4×#66602
#117470462
#117470252
C4×#66542
#117469662
#117468852
#106151913
#793835