Finite Group Databasebeta

← #14435610

Subgroups — #14435610

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
1C5×#5603C211yesmaximal, characteristic, complemented
2#11754515C211yesmaximal, characteristic, complemented
3#11751137C211yesmaximal, characteristic
4C3×#65324C211yesmaximal, characteristic, complemented
5#11748990C211yesmaximal, characteristic, complemented
6#11748990C211yesmaximal, characteristic, complemented
7#11748989C211yesmaximal, characteristic, complemented
8#11748986C211yesmaximal, characteristic, complemented
9#11748554C211yesmaximal, characteristic, complemented
10#11748404C211yesmaximal, characteristic, complemented
11#11748330C211yesmaximal, characteristic, complemented
12#11747248C211yesmaximal, characteristic, complemented
13#11747246C211yesmaximal, characteristic, complemented
14#11747232C211yesmaximal, characteristic, complemented
15#11747231C211yesmaximal, characteristic, complemented
16#10615191—31nomaximal, Hall
17C22×D60C2211yescharacteristic
18C3×C5×#121C2211yescharacteristic
19C2×#6715C2211yescharacteristic
20C2×#6715C2211yescharacteristic
21C5×#936—21no—
22C5×#936C2211yescharacteristic, complemented
23C5×#935—21no—
24C5×D4×Dic3C2211yescharacteristic, complemented
25C5×#926C2211yescharacteristic
26C5×#924C2211yescharacteristic
27C5×#888C2211yescharacteristic, complemented
28C5×#887C2211yescharacteristic, complemented
29C5×#879—21no—
30C5×#878—21no—
31C3×#4072C2211yescharacteristic
32#91561—21no—
33#91561—21no—
34#91428C2211yescharacteristic
35#91428C2211yescharacteristic
36#91428C2211yescharacteristic
37#91428C2211yescharacteristic
38#91418—21no—
39#91418—21no—
40C2×#6660C2211yescharacteristic
41C2×#6660C2211yescharacteristic
42#91114C2211yescharacteristic
43#91093C2211yescharacteristic
44#91093C2211yescharacteristic
45C3×#3964C2211yescharacteristic, complemented
46C3×#3964C2211yescharacteristic, complemented
47C3×C22⋊#168C2211yescharacteristic
48C3×#3940C2211yescharacteristic, complemented
49C3×#3939C2211yescharacteristic, complemented
50#90989C2211yescharacteristic, complemented
51#90986C2211yescharacteristic, complemented
52Dic3⋊#168C2211yescharacteristic, complemented
53Dic3⋊#168C2211yescharacteristic, complemented
54#90972C2211yescharacteristic, complemented
55#90972C2211yescharacteristic, complemented
56#90969C2211yescharacteristic
57#90969C2211yescharacteristic
58#90953C2211yescharacteristic, complemented
59Dic3×#168C2211yescharacteristic, complemented
60#81352—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#65324D311yescharacteristic, complemented
71#65315—31no—
72C4×#688—31no—
73#65303—31no—
74C4×#686—31no—
75#65289—31no—
76C23×D15—21no—
77C2×C3×C5×D4—21no—
78C2×C3×C5×D4C2311yescharacteristic
79C22×C3×C4×C5C2311yescharacteristic
80C2×D60—21no—
81C2×D60—22no—
82C2×D60—22no—
83C2×D60C2311yescharacteristic
84C2×D60C2311yescharacteristic
85C22×C5×Dic3—21no—
86C2×C5×Dic6—21no—
87C2×C5×Dic6C2311yescharacteristic
88C2×#1200—21no—
89C2×#1200—21no—
90C2×#1200—21no—
91C2×#1200—21no—
92C3×C5×C4⋊C4C2311yescharacteristic
93C3×C5×C22⋊C4—21no—
94#6715—22no—
95#6715—22no—
96C2×C3⋊#168C2311yescharacteristic
97C2×C3⋊#168C2311yescharacteristic
98C5×#217—21no—
99C5×#217—21no—
100C5×#217—21no—
101C5×#217—21no—
102C5×#217D411yescharacteristic
103C5×#217D411yescharacteristic
104C5×C4⋊Dic3D411yescharacteristic
105C5×C4⋊Dic3D411yescharacteristic
106C5×C4⋊Dic3C2311yescharacteristic
107C5×Dic3⋊C4—21no—
108C5×Dic3⋊C4—21no—
109C5×Dic3⋊C4—21no—
110C4×C5×Dic3—21no—
111C4×C5×Dic3C2311yescharacteristic
112C4×C5×Dic3C2311yescharacteristic
113C3×C22⋊Dic5—21no—
114C3×C4⋊Dic5C2311yescharacteristic
115C3×C4⋊Dic5C2311yescharacteristic
116C3×C4×Dic5—21no—
117C2×C3×#168C2311yescharacteristic
118C2×C3×#168C2311yescharacteristic
119#6667—21no—
120#6667—21no—
121#6667—21no—
122#6667—21no—
123#6660—22no—
124#6660—22no—
125#5603D511yescharacteristic, complemented
126#5521—51no—
127C3×#482—51no—
128#5036—51no—
129#4996—51no—
130#4890—51no—
131#4889—51no—
132#4870—51no—
133#4852—51no—
134#4787—51no—
135#4787—51no—
136#4785—51no—
137#4756—51no—
138#4731—51no—
139#4720—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×#121C2×D311yescharacteristic
149C4×C5×Q8—31no—
150C4×C5×D4—31no—
151C5×#117—31no—
152C2×#688—31no—
153C2×#688—31no—
154C2×#686—31no—
155C2×#686—31no—
156#4072C2×D311yescharacteristic
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#3964C2×D311yescharacteristic, complemented
168#3964C2×D311yescharacteristic, complemented
169C22⋊#168—31no—
170C22⋊#168C2×D311yescharacteristic
171#3941—31no—
172#3941—31no—
173#3941—31no—
174#3941—31no—
175#3940—31no—
176#3940C2×D311yescharacteristic, complemented
177#3939—31no—
178#3939C2×D311yescharacteristic, complemented
179C4⋊#168—31no—
180C4⋊#168—31no—
181#3935—31no—
182C4×#168—31no—
183#3118—151noSylow
184C23×C3×C5—21no—
185C23×C3×C5C2×D411yescharacteristic
186C22×D15—21no—
187C22×D15—21no—
188C22×D15—24no—
189C22×D15—81no—
190C22×D15—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
199D60—24no—
200D60—21no—
201D60—21no—
202D60#4112yes—
203D60#4112yes—
204C2×C5×Dic3—21no—
205C2×C5×Dic3—21no—
206C2×C5×Dic3—81no—
207C2×C5×Dic3C2×D411yescharacteristic
208C2×C5×Dic3C2×D411yescharacteristic
209C2×C5×Dic3C2×D411yescharacteristic
210C2×C5×Dic3C2×D411yescharacteristic
211C5×Dic6—21no—
212C5×Dic6—21no—
213C5×Dic6—81no—
214C2×C3×Dic5—21no—
215C2×C3×Dic5—21no—
216#1200—81no—
217#1200—81no—
218#1200—81no—
219#1200—81no—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C3×#168—21no—
223C3×#168—21no—
224C22×D12—51no—
225C3×#121C2×D511yescharacteristic
226C3×#117—51no—
227#936—21no—
228#936C2×D511yescharacteristic, complemented
229#935—21no—
230D4×Dic3C2×D511yescharacteristic, complemented
231C2×#213—51no—
232C2×#213—51no—
233#926C2×D511yescharacteristic
234#924C2×D511yescharacteristic
235C2×#204—51no—
236C2×#204—51no—
237#893—51no—
238#893—51no—
239#893—51no—
240#893—51no—
241#888C2×D511yescharacteristic, complemented
242#887C2×D511yescharacteristic, complemented
243D3×C22⋊C4—101no—
244D3×C22⋊C4—101no—
245#879—21no—
246#878—21no—
247C4×D12—101no—
248C4×D12—101no—
249C3×#107—51no—
250C3×#106—51no—
251C3×#102—51no—
252C3×#102—51no—
253C3×C22⋊C8—51no—
254#830—51no—
255#821—51no—
256#821—51no—
257#815—51no—
258Dic3⋊C8—51no—
259Dic3⋊C8—51no—
260C8×Dic3—51no—
261#810—51no—
262#810—51no—
263#809—51no—
264#809—51no—
265#808—51no—
266#807—51no—
267C23×D5—61no—
268C2×C5×Q8—31no—
269C2×C5×Q8—61no—
270C2×C5×D4—21no—
271C2×C5×D4C22×D311yescharacteristic
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—31no—
286C5×C4⋊C4—61no—
287C5×C4⋊C4—61no—
288C5×C4⋊C4—61no—
289C5×C4⋊C4C22×D311yescharacteristic
290C5×C22⋊C4—21no—
291C5×C22⋊C4—31no—
292C5×C22⋊C4—31no—
293C5×C22⋊C4—61no—
294C5×C22⋊C4—61no—
295C5×C22⋊C4—61no—
296C5×C22⋊C4—61no—
297C42×C5—31no—
298C42×C5—31no—
299C42×C5—61no—
300C22⋊Dic5—21no—
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⋊Dic5C22×D311yescharacteristic
310C4⋊Dic5C22×D311yescharacteristic
311C4×Dic5—21no—
312C2×#168—31no—
313C2×#168—31no—
314C2×#168C22×D311yescharacteristic
315C2×#168C22×D311yescharacteristic
316#542—31no—
317#518—151no—
318#485—151no—
319#482—51no—
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—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×D15—22no—
339C2×D15—22no—
340C2×D15—41no—
341C2×D15—41no—
342C2×D15—41no—
343C2×D15—41no—
344C2×D15—84no—
345C3×C4×C5—21no—
346C3×C4×C5—41no—
347C3×C4×C5C2×#4111yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349C3×Dic5—41no—
350C3×Dic5—41no—
351C5×Dic3—21no—
352C5×Dic3—21no—
353C5×Dic3—21no—
354C5×Dic3—21no—
355C5×Dic3—41no—
356C5×Dic3—41no—
357C23×D3—101no—
358C2×C3×D4—21no—
359C2×C3×D4C22×D511yescharacteristic
360C22×C3×C4C22×D511yescharacteristic
361C22×Dic3—21no—
362C2×D12—51no—
363C2×D12—51no—
364C2×D12—102no—
365C2×D12—102no—
366C2×D12—101no—
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—
375C3×C4⋊C4—51no—
376C3×C4⋊C4—51no—
377C3×C4⋊C4C22×D511yescharacteristic
378C3×C22⋊C4—21no—
379C3×C22⋊C4—101no—
380C3×C42—101no—
381#217—21no—
382#217—21no—
383#217—21no—
384#217—21no—
385#217C22⋊D511yescharacteristic
386#217C22⋊D511yescharacteristic
387#213—102no—
388#213—102no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392(C2×D3)⋊C4—101no—
393C4⋊Dic3C22⋊D511yescharacteristic
394C4⋊Dic3C22⋊D511yescharacteristic
395C4⋊Dic3C22×D511yescharacteristic
396Dic3⋊C4—21no—
397Dic3⋊C4—21no—
398Dic3⋊C4—21no—
399C4×Dic3—21no—
400C4×Dic3C22×D511yescharacteristic
401C4×Dic3C22×D511yescharacteristic
402C2×C3⋊C8—51no—
403C2×C3⋊C8—51no—
404#204—102no—
405#204—102no—
406C23×C5—21no—
407C23×C5D3×D411yescharacteristic
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—21no—
417C5×D4—21no—
418C5×D4—81no—
419C2×C4×C5—21no—
420C2×C4×C5—21no—
421C2×C4×C5—21no—
422C2×C4×C5—31no—
423C2×C4×C5—31no—
424C2×C4×C5—31no—
425C2×C4×C5—31no—
426C2×C4×C5—61no—
427C2×C4×C5—61no—
428C2×C4×C5—241no—
429C2×C4×C5D3×D411yescharacteristic
430C2×C4×C5C23×D311yescharacteristic
431C2×Dic5—21no—
432C2×Dic5—21no—
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—61no—
445#168—61no—
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#121D3×D511yescharacteristic
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—31no—
468#117—51no—
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—51no—
472#107—151no—
473#106—51no—
474#106—151no—
475C4⋊C8—151no—
476C4⋊C8—151no—
477#103—151no—
478#103—151no—
479#102—51no—
480#102—51no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—51no—
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
494D15—42no—
495D15—42no—
496C23×C3—21no—
497C23×C3C2×C22⋊D511yescharacteristic
498C22×D3—101no—
499C22×D3—101no—
500C22×D3—104no—
501C22×D3—401no—
502C22×D3—401no—
503C3×D4—21no—
504C3×D4—21no—
505C3×D4—81no—
506C2×C3×C4—21no—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—101no—
510C2×C3×C4—101no—
511C2×C3×C4C2×C22⋊D511yescharacteristic
512C2×C3×C4C23×D511yescharacteristic
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—81no—
516C2×Dic3C2×C22⋊D511yescharacteristic
517C2×Dic3C2×C22⋊D511yescharacteristic
518C2×Dic3C2×C22⋊D511yescharacteristic
519C2×Dic3C2×C22⋊D511yescharacteristic
520D12—52no—
521D12—52no—
522D12—104no—
523D12—101no—
524D12—101no—
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—41no—
540C22×C5—41no—
541C22×C5—41no—
542C22×C5C2×D3×D411yescharacteristic
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—41no—
552C4×C5—61no—
553C4×C5—61no—
554C4×C5—61no—
555C4×C5—61no—
556C4×C5—121no—
557C4×C5—121no—
558C4×C5D3×#4111yescharacteristic
559C4×C5D3×#4111yescharacteristic
560Dic5—41no—
561Dic5—41no—
562C24—301no—
563C2×Q8—31no—
564C2×Q8—61no—
565C2×D4—21no—
566C2×D4—151no—
567C2×D4—151no—
568C2×D4—302no—
569C2×D4—302no—
570C2×D4—301no—
571C2×D4C2×D3×D511yescharacteristic
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—151no—
585C2×C8—151no—
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—51no—
590C4⋊C4—51no—
591C4⋊C4—61no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4C2×D3×D511yescharacteristic
595C22⋊C4—21no—
596C22⋊C4—31no—
597C22⋊C4—31no—
598C22⋊C4—61no—
599C22⋊C4—61no—
600C22⋊C4—61no—
601C22⋊C4—61no—
602C22⋊C4—101no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—31no—
608C42—31no—
609C42—61no—
610C42—101no—
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3C22×C22⋊D511yescharacteristic
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—41no—
628C3×C4—201no—
629C3×C4—201no—
630C3×C4D5×#4111yescharacteristic
631C3×C4D5×#4111yescharacteristic
632Dic3—21no—
633Dic3—21no—
634Dic3—21no—
635Dic3—21no—
636Dic3—41no—
637Dic3—41no—
638C2×C5—41no—
639C2×C5—81no—
640C2×C5#565611yescharacteristic
641C2×C5#577011yescharacteristic
642C2×C5#577411yescharacteristic
643D5—122no—
644D5—122no—
645C23—21no—
646C23—304no—
647C23—301no—
648C23—301no—
649C23—1201no—
650C23—1201no—
651C23D3×C22⋊D511yescharacteristic
652Q8—61no—
653Q8—61no—
654Q8—241no—
655D4—21no—
656D4—21no—
657D4—81no—
658D4—152no—
659D4—152no—
660D4—304no—
661D4—301no—
662D4—301no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—31no—
669C2×C4—31no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—101no—
673C2×C4—101no—
674C2×C4—241no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4—1201no—
679C2×C4D3×C22⋊D511yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—101no—
682C8—101no—
683C8—301no—
684C8—301no—
685C2×C3—41no—
686C2×C3—81no—
687C2×C3#6616211yescharacteristic
688C2×C3#6616911yescharacteristic
689C2×C3#6617111yescharacteristic
690D3—202no—
691D3—202no—
692C5#8135211yescharacteristic, complemented, Sylow
693C22—21no—
694C22—21no—
695C22—21no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—302no—
700C22—302no—
701C22—601no—
702C22—601no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C2×D3×C22⋊D511yescharacteristic
707C4—21no—
708C4—41no—
709C4—61no—
710C4—61no—
711C4—61no—
712C4—61no—
713C4—121no—
714C4—121no—
715C4—201no—
716C4—201no—
717C4#9202411yescharacteristic
718C4#9202411yescharacteristic
719C3#1061519111yescharacteristic, complemented, Sylow
720C2—41no—
721C2—81no—
722C2—602no—
723C2—602no—
724C2#1175469811yescharacteristic
725C2#1175481311yescharacteristic
726C2#1175532611yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#121C22
socleC22×C3×C5C22×D4
prime radical#11751137C2
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. C5×#5603C2semidirect
2. #11754515C2semidirect
4. C3×#65324C2semidirect
5. #11748990C2semidirect
6. #11748990C2semidirect
7. #11748989C2semidirect
8. #11748986C2semidirect
9. #11748554C2semidirect
10. #11748404C2semidirect
11. #11748330C2semidirect
12. #11747248C2semidirect
13. #11747246C2semidirect
14. #11747232C2semidirect
15. #11747231C2semidirect
22. C5×#936C22semidirect
24. C5×D4×Dic3C22semidirect
27. C5×#888C22semidirect
28. C5×#887C22semidirect
45. C3×#3964C22semidirect
46. C3×#3964C22semidirect
48. C3×#3940C22semidirect
49. C3×#3939C22semidirect
50. #90989C22semidirect
51. #90986C22semidirect
52. Dic3⋊#168C22semidirect
53. Dic3⋊#168C22semidirect
54. #90972C22semidirect
55. #90972C22semidirect
58. #90953C22semidirect
59. Dic3×#168C22semidirect
70. #65324D3semidirect
125. #5603D5semidirect
167. #3964C2×D3semidirect
168. #3964C2×D3semidirect
176. #3940C2×D3semidirect
178. #3939C2×D3semidirect
228. #936C2×D5semidirect
230. D4×Dic3C2×D5semidirect
241. #888C2×D5semidirect
242. #887C2×D5semidirect
611. C3×C5#3118semidirect
692. C5#81352semidirect
719. C3#10615191semidirect

Maximal subgroups

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

subgroupindex
C5×#56032
#117545152
#117511372
C3×#653242
#117489902
#117489892
#117489862
#117485542
#117484042
#117483302
#117472482
#117472462
#117472322
#117472312
#106151913
#813525