Finite Group Databasebeta

← #14435642

Subgroups — #14435642

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×#66132C211yesmaximal, characteristic, complemented
2#11754184C211yesmaximal, characteristic, complemented
3#11751318C211yesmaximal, characteristic
4C5×#5218C211yesmaximal, characteristic, complemented
5#11749104C211yesmaximal, characteristic, complemented
6#11749101C211yesmaximal, characteristic, complemented
7#11749068C211yesmaximal, characteristic, complemented
8#11749068C211yesmaximal, characteristic, complemented
9#11749001C211yesmaximal, characteristic, complemented
10Dic5×#214C211yesmaximal, characteristic, complemented
11#11748979C211yesmaximal, characteristic, complemented
12#11748975C211yesmaximal, characteristic, complemented
13#11748452C211yesmaximal, characteristic, complemented
14#11748404C211yesmaximal, characteristic, complemented
15#11748319C211yesmaximal, characteristic, complemented
16#10611867—31nomaximal, Hall
17C22×C3×C5×D4C2211yescharacteristic
18C2×#6715C2211yescharacteristic
19C2×#6715C2211yescharacteristic
20#91819C2211yescharacteristic
21C2×C5×#214C2211yescharacteristic
22C2×C5×#214C2211yescharacteristic
23C5×#924C2211yescharacteristic
24C2×C3×C22⋊Dic5—21no—
25C2×C3×C22⋊Dic5—21no—
26C3×D4×Dic5—21no—
27C3×D4×Dic5—21no—
28C3×D4×Dic5C2211yescharacteristic
29C3×D4×Dic5C2211yescharacteristic
30C3×D4×Dic5C2211yescharacteristic
31C3×D4×Dic5C2211yescharacteristic
32C3×#4072C2211yescharacteristic
33C3×#4072C2211yescharacteristic
34#91562—21no—
35#91526—21no—
36#91468C2211yescharacteristic, complemented
37#91429—21no—
38#91418C2211yescharacteristic, complemented
39#91375C2211yescharacteristic, complemented
40#91345—21no—
41Dic5×Dic6C2211yescharacteristic, complemented
42#91116C2211yescharacteristic
43#91116C2211yescharacteristic
44#91114C2211yescharacteristic
45C5×#832C2211yescharacteristic
46C5×#832C2211yescharacteristic
47C5×#830C2211yescharacteristic
48#90990C2211yescharacteristic, complemented
49#90989C2211yescharacteristic, complemented
50#90987C2211yescharacteristic, complemented
51#90986C2211yescharacteristic, complemented
52#90982C2211yescharacteristic, complemented
53#90982C2211yescharacteristic, complemented
54#90972C2211yescharacteristic, complemented
55#90972C2211yescharacteristic, complemented
56#90968C2211yescharacteristic, complemented
57#90968C2211yescharacteristic, complemented
58#90952C2211yescharacteristic, complemented
59Dic5×C3⋊C8C2211yescharacteristic, complemented
60#82541—51nomaximal, Hall
61#66132D311yescharacteristic, complemented
62#65977—31no—
63C5×#450—31no—
64#65506—31no—
65#65454—31no—
66#65454—31no—
67#65453—31no—
68SD16×Dic5—31no—
69#65334—31no—
70#65074—31no—
71#65050—31no—
72#65048—31no—
73#65045—31no—
74#65026—31no—
75#65009—31no—
76C24×C3×C5—21no—
77C2×C3×C5×D4—22no—
78C2×C3×C5×D4—22no—
79C2×C3×C5×D4—21no—
80C2×C3×C5×D4C2311yescharacteristic
81C2×C3×C5×D4C2311yescharacteristic
82C22×C3×C4×C5C2311yescharacteristic
83C2×#1220—21no—
84C2×D60C2311yescharacteristic
85C2×C5×Dic6C2311yescharacteristic
86C22×C3×Dic5—21no—
87C22×C3×Dic5—21no—
88C22×C3×Dic5—21no—
89C22×C3×Dic5—21no—
90C2×#1204—21no—
91C2×#1200—21no—
92#6715—22no—
93#6715—22no—
94#6714—21no—
95C4⋊Dic15C2311yescharacteristic
96C2×C3⋊#168C2311yescharacteristic
97C2×C3⋊#168C2311yescharacteristic
98C5×#217—21no—
99C5×#214—22no—
100C5×#214—22no—
101C5×C4⋊Dic3C2311yescharacteristic
102C5×Dic3⋊C4—21no—
103C2×C5×C3⋊C8C2311yescharacteristic
104C2×C5×C3⋊C8C2311yescharacteristic
105C3×C22⋊Dic5—21no—
106C3×C22⋊Dic5—21no—
107C3×C22⋊Dic5—21no—
108C3×C22⋊Dic5—21no—
109C3×C22⋊Dic5—21no—
110C3×C22⋊Dic5D411yescharacteristic
111C3×C22⋊Dic5D411yescharacteristic
112C3×C4⋊Dic5D411yescharacteristic
113C3×C4⋊Dic5D411yescharacteristic
114C3×C4⋊Dic5C2311yescharacteristic
115C3×C4⋊Dic5C2311yescharacteristic
116C3×C4×Dic5—21no—
117C3×C4×Dic5C2311yescharacteristic
118C3×C4×Dic5C2311yescharacteristic
119Dic3⋊Dic5—21no—
120#6668—21no—
121#6667—21no—
122#6667—21no—
123#6667—21no—
124Dic3×Dic5—21no—
125C3×#518—51no—
126#5534—51no—
127#5218D511yescharacteristic, complemented
128#5217—51no—
129#5018—51no—
130C4×#214—51no—
131#5016—51no—
132#5016—51no—
133#5014—51no—
134C4×#213—51no—
135#5008—51no—
136#5007—51no—
137#5003—51no—
138#5000—51no—
139#4996—51no—
140C22×C5×D4C2×D311yescharacteristic
141C2×C5×SD16—31no—
142C2×C5×SD16—31no—
143C5×C22⋊Q8—31no—
144C2×C22⋊Dic5—21no—
145C2×C22⋊Dic5—21no—
146#4093—31no—
147Q8×Dic5—31no—
148D4×Dic5—21no—
149D4×Dic5—21no—
150D4×Dic5C2×D311yescharacteristic
151D4×Dic5C2×D311yescharacteristic
152D4×Dic5C2×D311yescharacteristic
153D4×Dic5C2×D311yescharacteristic
154C2×#686—31no—
155C2×#686—31no—
156#4076—31no—
157#4072C2×D311yescharacteristic
158#4072C2×D311yescharacteristic
159#4044—61no—
160#4043—61no—
161#4039—31no—
162#4034—31no—
163#4031—61no—
164#4029—61no—
165C5×#102—31no—
166C5×#102—31no—
167C5×C22⋊C8—31no—
168#3967—31no—
169#3967—31no—
170#3964—31no—
171#3964—31no—
172C22⋊#168—31no—
173#3953—31no—
174#3953—31no—
175#3950—31no—
176#3949—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—24no—
185C23×C3×C5—21no—
186C23×C3×C5—21no—
187C23×C3×C5—81no—
188C23×C3×C5—81no—
189C23×C3×C5C2×D411yescharacteristic
190C22×D15—21no—
191C3×C5×D4—24no—
192C3×C5×D4—21no—
193C3×C5×D4—21no—
194C3×C5×D4#4112yes—
195C3×C5×D4#4112yes—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5C2×D411yescharacteristic
199C2×C3×C4×C5C2411yescharacteristic
200#1220—81no—
201C2×Dic15—21no—
202D60—21no—
203D60—21no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3—21no—
206C5×Dic6—21no—
207C5×Dic6—21no—
208C2×C3×Dic5—21no—
209C2×C3×Dic5—21no—
210C2×C3×Dic5—81no—
211C2×C3×Dic5—81no—
212C2×C3×Dic5—81no—
213C2×C3×Dic5—81no—
214C2×C3×Dic5C2×D411yescharacteristic
215C2×C3×Dic5C2×D411yescharacteristic
216C2×C3×Dic5C2×D411yescharacteristic
217C2×C3×Dic5C2×D411yescharacteristic
218#1204—81no—
219#1200—81no—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C5×C3⋊C8—21no—
223C5×C3⋊C8—21no—
224C22×C3×D4C2×D511yescharacteristic
225C3×C4×D4—51no—
226C3×C4×D4—51no—
227C3×C4×D4—51no—
228C3×C4×D4—51no—
229C3×C4×D4—101no—
230C3×C4×D4—101no—
231C3×#117—51no—
232C3×#117—51no—
233C2×C3×C22⋊C4—101no—
234C2×C3×C22⋊C4—101no—
235C2×#214C2×D511yescharacteristic
236C2×#214C2×D511yescharacteristic
237C2×#213—51no—
238C2×#213—51no—
239#930—51no—
240#924C2×D511yescharacteristic
241#898—101no—
242#896—101no—
243#885—101no—
244#883—101no—
245#875—51no—
246C4×D12—51no—
247#869—51no—
248C4×Dic6—51no—
249#832—51no—
250#832—51no—
251#832C2×D511yescharacteristic
252#832C2×D511yescharacteristic
253#830—51no—
254#830C2×D511yescharacteristic
255#810—51no—
256#810—51no—
257#809—51no—
258#809—51no—
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—21no—
268C2×C5×Q8—31no—
269C2×C5×D4—22no—
270C2×C5×D4—22no—
271C2×C5×D4—21no—
272C2×C5×D4C22×D311yescharacteristic
273C2×C5×D4C22×D311yescharacteristic
274C22×C4×C5C22×D311yescharacteristic
275C2×C22⋊D5—61no—
276C22×Dic5—21no—
277C22×Dic5—21no—
278C22×Dic5—21no—
279C22×Dic5—21no—
280C2×D20—31no—
281C2×C4×D5—61no—
282C2×Dic10—61no—
283C5×SD16—62no—
284C5×SD16—62no—
285C2×C5×C8—31no—
286C2×C5×C8—31no—
287C5×C4⋊C4—31no—
288C5×C4⋊C4—61no—
289C5×C22⋊C4—61no—
290C22⋊Dic5—21no—
291C22⋊Dic5—21no—
292C22⋊Dic5—21no—
293C22⋊Dic5—21no—
294C22⋊Dic5—21no—
295C22⋊Dic5#6711yescharacteristic
296C22⋊Dic5#6711yescharacteristic
297#686—62no—
298#686—62no—
299#685—61no—
300#685—61no—
301#685—61no—
302#685—61no—
303C4⋊Dic5—31no—
304C4⋊Dic5—61no—
305C4⋊Dic5#6711yescharacteristic
306C4⋊Dic5#6711yescharacteristic
307C4⋊Dic5C22×D311yescharacteristic
308C4⋊Dic5C22×D311yescharacteristic
309#683—61no—
310C4×Dic5—21no—
311C4×Dic5—61no—
312C4×Dic5C22×D311yescharacteristic
313C4×Dic5C22×D311yescharacteristic
314C2×#168—31no—
315C2×#168—31no—
316#542—151no—
317#518—51no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—151no—
322#463—151no—
323#463—151no—
324#450—31no—
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—22no—
333C22×C3×C5—22no—
334C22×C3×C5—21no—
335C22×C3×C5—21no—
336C22×C3×C5—41no—
337C22×C3×C5—41no—
338C22×C3×C5—41no—
339C22×C3×C5—41no—
340C22×C3×C5—84no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—41no—
343C2×D15—41no—
344C2×D15—41no—
345C3×C4×C5—21no—
346C3×C4×C5C2×#4111yescharacteristic
347C3×C4×C5C2×#4111yescharacteristic
348Dic15—41no—
349C3×Dic5—21no—
350C3×Dic5—21no—
351C3×Dic5—21no—
352C3×Dic5—21no—
353C3×Dic5—41no—
354C3×Dic5—41no—
355C5×Dic3—41no—
356C5×Dic3—41no—
357C24×C3—21no—
358C2×C3×D4—22no—
359C2×C3×D4—22no—
360C2×C3×D4—21no—
361C2×C3×D4C22×D511yescharacteristic
362C2×C3×D4C22×D511yescharacteristic
363C22×C3×C4—101no—
364C22×C3×C4—101no—
365C22×C3×C4—101no—
366C22×C3×C4—101no—
367C22×C3×C4C22×D511yescharacteristic
368C2×#67—101no—
369C2×D12—51no—
370C2×C4×D3—101no—
371C2×Dic6—101no—
372C2×Dic6C22×D511yescharacteristic
373C3×C4⋊C4—51no—
374C3×C4⋊C4—51no—
375C3×C4⋊C4—51no—
376C3×C4⋊C4—51no—
377C3×C22⋊C4—51no—
378C3×C22⋊C4—51no—
379C3×C22⋊C4—101no—
380C3×C22⋊C4—101no—
381C3×C22⋊C4—101no—
382C3×C22⋊C4—101no—
383C3×C22⋊C4—101no—
384C3×C42—51no—
385C3×C42—51no—
386C3×C42—101no—
387#217—21no—
388#214—22no—
389#214—22no—
390#213—102no—
391#213—102no—
392(C2×D3)⋊C4—101no—
393(C2×D3)⋊C4—101no—
394(C2×D3)⋊C4—101no—
395(C2×D3)⋊C4—101no—
396C4⋊Dic3—51no—
397C4⋊Dic3—101no—
398C4⋊Dic3C22×D511yescharacteristic
399Dic3⋊C4—21no—
400Dic3⋊C4—101no—
401C4×Dic3—101no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8—51no—
404C2×C3⋊C8C22×D511yescharacteristic
405C2×C3⋊C8C22×D511yescharacteristic
406C23×C5—24no—
407C23×C5—21no—
408C23×C5—21no—
409C23×C5—81no—
410C23×C5—81no—
411C23×C5C2×#6711yescharacteristic
412C22×D5—61no—
413C5×Q8—61no—
414C5×Q8—61no—
415C5×D4—24no—
416C5×D4—21no—
417C5×D4—21no—
418C5×D4#23512yes—
419C5×D4#23512yes—
420C2×C4×C5—21no—
421C2×C4×C5—21no—
422C2×C4×C5—61no—
423C2×C4×C5—61no—
424C2×C4×C5C2×#6711yescharacteristic
425C2×C4×C5C23×D311yescharacteristic
426C22⋊D5—241no—
427C2×Dic5—21no—
428C2×Dic5—21no—
429C2×Dic5—61no—
430C2×Dic5—81no—
431C2×Dic5—81no—
432C2×Dic5—81no—
433C2×Dic5—81no—
434C2×Dic5C2×#6711yescharacteristic
435C2×Dic5C2×#6711yescharacteristic
436C2×Dic5C2×#6711yescharacteristic
437C2×Dic5C2×#6711yescharacteristic
438D20—61no—
439D20—61no—
440C4×D5—241no—
441Dic10—241no—
442C5×C8—61no—
443C5×C8—61no—
444#168—61no—
445#168—61no—
446C22×D4D3×D511yescharacteristic
447C2×SD16—31no—
448C2×SD16—31no—
449C2×D8—151no—
450C2×D8—151no—
451C4⋊Q8—151no—
452#126—301no—
453#124—151no—
454#124—301no—
455#123—301no—
456C22⋊Q8—31no—
457C22⋊Q8—301no—
458#121—151no—
459C4×Q8—151no—
460C4×D4—51no—
461C4×D4—51no—
462C4×D4—51no—
463C4×D4—51no—
464C4×D4—101no—
465C4×D4—101no—
466C4×D4—151no—
467#117—51no—
468#117—51no—
469C2×C22⋊C4—101no—
470C2×C22⋊C4—101no—
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—42no—
491C2×C3×C5—42no—
492C2×C3×C5#52511yescharacteristic
493C2×C3×C5#57611yescharacteristic
494C2×C3×C5#57711yescharacteristic
495D15—81no—
496C23×C3—24no—
497C23×C3—21no—
498C23×C3—21no—
499C23×C3—81no—
500C23×C3—81no—
501C23×C3D4×D511yescharacteristic
502C22×D3—101no—
503C3×D4—24no—
504C3×D4—21no—
505C3×D4—21no—
506C3×D4#71112yes—
507C3×D4#71112yes—
508C2×C3×C4—21no—
509C2×C3×C4—21no—
510C2×C3×C4—51no—
511C2×C3×C4—51no—
512C2×C3×C4—51no—
513C2×C3×C4—51no—
514C2×C3×C4—101no—
515C2×C3×C4—101no—
516C2×C3×C4—401no—
517C2×C3×C4—401no—
518C2×C3×C4—401no—
519C2×C3×C4—401no—
520C2×C3×C4D4×D511yescharacteristic
521C2×C3×C4C23×D511yescharacteristic
522#67—401no—
523C2×Dic3—21no—
524C2×Dic3—21no—
525C2×Dic3—101no—
526D12—101no—
527D12—101no—
528C4×D3—401no—
529Dic6—21no—
530Dic6—21no—
531Dic6—401no—
532C3⋊C8—21no—
533C3⋊C8—21no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—21no—
537C22×C5—22no—
538C22×C5—22no—
539C22×C5—21no—
540C22×C5—21no—
541C22×C5—41no—
542C22×C5—41no—
543C22×C5—41no—
544C22×C5—41no—
545C22×C5—84no—
546C22×C5C22×#6711yescharacteristic
547C2×D5—121no—
548C2×D5—121no—
549C2×D5—121no—
550C4×C5—21no—
551C4×C5—121no—
552C4×C5—121no—
553C4×C5C2×#23511yescharacteristic
554C4×C5C2×#23511yescharacteristic
555Dic5—21no—
556Dic5—21no—
557Dic5—21no—
558Dic5—21no—
559Dic5—41no—
560Dic5—41no—
561Dic5—121no—
562C24—21no—
563C2×Q8—31no—
564C2×Q8—301no—
565C2×D4—22no—
566C2×D4—22no—
567C2×D4—21no—
568C2×D4—151no—
569C2×D4—301no—
570C2×D4C2×D3×D511yescharacteristic
571C2×D4C2×D3×D511yescharacteristic
572C22×C4—101no—
573C22×C4—101no—
574C22×C4—101no—
575C22×C4—101no—
576C22×C4—301no—
577C22×C4C2×D3×D511yescharacteristic
578SD16—62no—
579SD16—62no—
580D8—302no—
581D8—302no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—151no—
585C2×C8—151no—
586C4⋊C4—31no—
587C4⋊C4—51no—
588C4⋊C4—51no—
589C4⋊C4—51no—
590C4⋊C4—51no—
591C4⋊C4—61no—
592C4⋊C4—151no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C22⋊C4—51no—
596C22⋊C4—51no—
597C22⋊C4—61no—
598C22⋊C4—101no—
599C22⋊C4—101no—
600C22⋊C4—101no—
601C22⋊C4—101no—
602C22⋊C4—101no—
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—22no—
616C22×C3—22no—
617C22×C3—41no—
618C22×C3—41no—
619C22×C3—41no—
620C22×C3—41no—
621C22×C3—84no—
622C22×C3C2×D4×D511yescharacteristic
623C2×D3—201no—
624C2×D3—201no—
625C2×D3—201no—
626C3×C4—21no—
627C3×C4—101no—
628C3×C4—101no—
629C3×C4—101no—
630C3×C4—101no—
631C3×C4—201no—
632C3×C4—201no—
633C3×C4C2×#71111yescharacteristic
634C3×C4C2×#71111yescharacteristic
635Dic3—41no—
636Dic3—41no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5—42no—
640C2×C5—42no—
641C2×C5#579111yescharacteristic
642C2×C5#583511yescharacteristic
643C2×C5#583611yescharacteristic
644D5—241no—
645C23—24no—
646C23—21no—
647C23—21no—
648C23—81no—
649C23—81no—
650C23—301no—
651C23D5×#6711yescharacteristic
652Q8—61no—
653Q8—61no—
654Q8—1201no—
655D4—24no—
656D4—21no—
657D4—21no—
658D4—301no—
659D4—301no—
660D4—1201no—
661D4#678212yes—
662D4#678212yes—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—51no—
666C2×C4—51no—
667C2×C4—51no—
668C2×C4—51no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—101no—
672C2×C4—101no—
673C2×C4—301no—
674C2×C4—401no—
675C2×C4—401no—
676C2×C4—401no—
677C2×C4—401no—
678C2×C4—1201no—
679C2×C4D5×#6711yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—61no—
682C8—61no—
683C8—301no—
684C8—301no—
685C2×C3—41no—
686C2×C3—42no—
687C2×C3—42no—
688C2×C3#6592011yescharacteristic
689C2×C3#6609611yescharacteristic
690C2×C3#6610811yescharacteristic
691D3—401no—
692C5#8254111yescharacteristic, complemented, Sylow
693C22—21no—
694C22—22no—
695C22—22no—
696C22—21no—
697C22—21no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—84no—
703C22—601no—
704C22—601no—
705C22—601no—
706C22C2×D5×#6711yescharacteristic
707C4—21no—
708C4—101no—
709C4—101no—
710C4—101no—
711C4—101no—
712C4—121no—
713C4—121no—
714C4—201no—
715C4—201no—
716C4—601no—
717C4C2×#678211yescharacteristic
718C4C2×#678211yescharacteristic
719C3#1061186711yescharacteristic, complemented, Sylow
720C2—41no—
721C2—42no—
722C2—42no—
723C2—1201no—
724C2#1175469211yescharacteristic
725C2#1175470711yescharacteristic
726C2#1175538511yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×D4C22
socleC22×C3×C5C22×D4
prime radical#11751318C2
hypercenterC22×D4D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C3×#66132C2semidirect
2. #11754184C2semidirect
4. C5×#5218C2semidirect
5. #11749104C2semidirect
6. #11749101C2semidirect
7. #11749068C2semidirect
8. #11749068C2semidirect
9. #11749001C2semidirect
10. Dic5×#214C2semidirect
11. #11748979C2semidirect
12. #11748975C2semidirect
13. #11748452C2semidirect
14. #11748404C2semidirect
15. #11748319C2semidirect
36. #91468C22semidirect
38. #91418C22semidirect
39. #91375C22semidirect
41. Dic5×Dic6C22semidirect
48. #90990C22semidirect
49. #90989C22semidirect
50. #90987C22semidirect
51. #90986C22semidirect
52. #90982C22semidirect
53. #90982C22semidirect
54. #90972C22semidirect
55. #90972C22semidirect
56. #90968C22semidirect
57. #90968C22semidirect
58. #90952C22semidirect
59. Dic5×C3⋊C8C22semidirect
61. #66132D3semidirect
127. #5218D5semidirect
611. C3×C5#3118semidirect
692. C5#82541semidirect
719. C3#10611867semidirect

Maximal subgroups

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

subgroupindex
C3×#661322
#117541842
#117513182
C5×#52182
#117491042
#117491012
#117490682
#117490012
Dic5×#2142
#117489792
#117489752
#117484522
#117484042
#117483192
#106118673
#825415