Finite Group Databasebeta

← #14435588

Subgroups — #14435588

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#11756557C211yesmaximal, characteristic, complemented
2#11756402C211yesmaximal, characteristic, complemented
3C3×C5×#450C211yesmaximal, characteristic, complemented
4#11751318C211yesmaximal, characteristic
5#11751266C211yesmaximal, characteristic, complemented
6#11751266C211yesmaximal, characteristic, complemented
7#11751265C211yesmaximal, characteristic, complemented
8SD16×Dic15C211yesmaximal, characteristic, complemented
9#11751146C211yesmaximal, characteristic, complemented
10#11750886C211yesmaximal, characteristic, complemented
11#11750862C211yesmaximal, characteristic, complemented
12#11750860C211yesmaximal, characteristic, complemented
13#11750857C211yesmaximal, characteristic, complemented
14#11750838C211yesmaximal, characteristic, complemented
15#11750821C211yesmaximal, characteristic, complemented
16#10611867—31nomaximal, Hall
17C22×C3×C5×D4C2211yescharacteristic
18C2×C3×C5×SD16C2211yescharacteristic
19C2×C3×C5×SD16C2211yescharacteristic
20C3×C5×C22⋊Q8C2211yescharacteristic
21C2×#6719—21no—
22C2×#6719—21no—
23#91836C2211yescharacteristic, complemented
24Q8×Dic15C2211yescharacteristic, complemented
25D4×Dic15—21no—
26D4×Dic15—21no—
27D4×Dic15C2211yescharacteristic
28D4×Dic15C2211yescharacteristic
29D4×Dic15C2211yescharacteristic
30D4×Dic15C2211yescharacteristic
31C2×#6715C2211yescharacteristic
32C2×#6715C2211yescharacteristic
33#91819C2211yescharacteristic
34#91815C2211yescharacteristic
35#91815C2211yescharacteristic
36#91787—21no—
37#91786—21no—
38#91782C2211yescharacteristic, complemented
39#91777C2211yescharacteristic, complemented
40#91774—21no—
41#91772—21no—
42C3×C5×#102C2211yescharacteristic
43C3×C5×#102C2211yescharacteristic
44C3×C5×C22⋊C8C2211yescharacteristic
45#91119C2211yescharacteristic, complemented
46#91119C2211yescharacteristic, complemented
47#91116C2211yescharacteristic
48#91116C2211yescharacteristic
49#91114C2211yescharacteristic
50#91105C2211yescharacteristic, complemented
51#91105C2211yescharacteristic, complemented
52#91102C2211yescharacteristic, complemented
53#91101C2211yescharacteristic, complemented
54#91099C2211yescharacteristic, complemented
55#91098C2211yescharacteristic, complemented
56#91098C2211yescharacteristic, complemented
57C8×Dic15C2211yescharacteristic, complemented
58#91092C2211yescharacteristic, complemented
59#91091C2211yescharacteristic, complemented
60#80136—51nomaximal, Hall
61#66132—31no—
62#65977—31no—
63C5×#450D311yescharacteristic, complemented
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×Q8C2311yescharacteristic
78C2×C3×C5×D4—22no—
79C2×C3×C5×D4—22no—
80C2×C3×C5×D4—21no—
81C2×C3×C5×D4C2311yescharacteristic
82C2×C3×C5×D4C2311yescharacteristic
83C22×C3×C4×C5C2311yescharacteristic
84C2×#1220—21no—
85C22×Dic15—21no—
86C22×Dic15—21no—
87C22×Dic15—21no—
88C22×Dic15—21no—
89C2×D60C2311yescharacteristic
90C2×C4×D15—21no—
91C2×Dic30—21no—
92C3×C5×SD16—22no—
93C3×C5×SD16—22no—
94C2×C3×C5×C8C2311yescharacteristic
95C2×C3×C5×C8C2311yescharacteristic
96C3×C5×C4⋊C4—21no—
97C3×C5×C4⋊C4C2311yescharacteristic
98C3×C5×C22⋊C4—21no—
99#6719—21no—
100#6719—21no—
101#6719—21no—
102#6719—21no—
103#6719—21no—
104#6719D411yescharacteristic
105#6719D411yescharacteristic
106#6715—22no—
107#6715—22no—
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714—21no—
112C4⋊Dic15—21no—
113C4⋊Dic15D411yescharacteristic
114C4⋊Dic15D411yescharacteristic
115C4⋊Dic15C2311yescharacteristic
116C4⋊Dic15C2311yescharacteristic
117C4⋊Dic15C2311yescharacteristic
118#6712—21no—
119C4×Dic15—21no—
120C4×Dic15—21no—
121C4×Dic15C2311yescharacteristic
122C4×Dic15C2311yescharacteristic
123C2×C3⋊#168C2311yescharacteristic
124C2×C3⋊#168C2311yescharacteristic
125#5798—51no—
126#5643—51no—
127C3×#450D511yescharacteristic, complemented
128#5217—51no—
129#5165—51no—
130#5165—51no—
131#5164—51no—
132Dic3×SD16—51no—
133#5045—51no—
134#4785—51no—
135#4761—51no—
136#4759—51no—
137#4756—51no—
138#4737—51no—
139#4720—51no—
140C22×C5×D4C2×D311yescharacteristic
141C2×C5×SD16C2×D311yescharacteristic
142C2×C5×SD16C2×D311yescharacteristic
143C5×C22⋊Q8C2×D311yescharacteristic
144C2×C22⋊Dic5—61no—
145C2×C22⋊Dic5—61no—
146#4093—31no—
147Q8×Dic5—31no—
148D4×Dic5—31no—
149D4×Dic5—31no—
150D4×Dic5—31no—
151D4×Dic5—31no—
152D4×Dic5—61no—
153D4×Dic5—61no—
154C2×#686—31no—
155C2×#686—31no—
156#4076—31no—
157#4072—31no—
158#4072—31no—
159#4044—61no—
160#4043—61no—
161#4039—31no—
162#4034—31no—
163#4031—61no—
164#4029—61no—
165C5×#102C2×D311yescharacteristic
166C5×#102C2×D311yescharacteristic
167C5×C22⋊C8C2×D311yescharacteristic
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×Q8—21no—
192C3×C5×Q8—21no—
193C3×C5×D4—24no—
194C3×C5×D4—21no—
195C3×C5×D4—21no—
196C3×C5×D4#4112yes—
197C3×C5×D4#4112yes—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5—21no—
202C2×C3×C4×C5C2×D411yescharacteristic
203C2×C3×C4×C5C2411yescharacteristic
204#1220—81no—
205C2×Dic15—21no—
206C2×Dic15—21no—
207C2×Dic15—21no—
208C2×Dic15—81no—
209C2×Dic15—81no—
210C2×Dic15—81no—
211C2×Dic15—81no—
212C2×Dic15C2×D411yescharacteristic
213C2×Dic15C2×D411yescharacteristic
214C2×Dic15C2×D411yescharacteristic
215C2×Dic15C2×D411yescharacteristic
216D60—21no—
217D60—21no—
218C4×D15—81no—
219Dic30—81no—
220C3×C5×C8—21no—
221C3×C5×C8—21no—
222C3⋊#168—21no—
223C3⋊#168—21no—
224C22×C3×D4C2×D511yescharacteristic
225C2×C3×SD16C2×D511yescharacteristic
226C2×C3×SD16C2×D511yescharacteristic
227C3×C22⋊Q8C2×D511yescharacteristic
228C2×#217—101no—
229C2×#217—101no—
230#947—51no—
231Q8×Dic3—51no—
232D4×Dic3—51no—
233D4×Dic3—51no—
234D4×Dic3—51no—
235D4×Dic3—51no—
236D4×Dic3—101no—
237D4×Dic3—101no—
238C2×#213—51no—
239C2×#213—51no—
240#930—51no—
241#926—51no—
242#926—51no—
243#898—101no—
244#897—101no—
245#893—51no—
246#888—51no—
247#885—101no—
248#883—101no—
249C3×#102C2×D511yescharacteristic
250C3×#102C2×D511yescharacteristic
251C3×C22⋊C8C2×D511yescharacteristic
252#835—51no—
253#835—51no—
254#832—51no—
255#832—51no—
256#830—51no—
257#821—51no—
258#821—51no—
259#818—51no—
260#817—51no—
261#815—51no—
262Dic3⋊C8—51no—
263Dic3⋊C8—51no—
264C8×Dic3—51no—
265#808—51no—
266#807—51no—
267C24×C5—21no—
268C2×C5×Q8C22×D311yescharacteristic
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—61no—
277C22×Dic5—61no—
278C22×Dic5—61no—
279C22×Dic5—61no—
280C2×D20—31no—
281C2×C4×D5—61no—
282C2×Dic10—61no—
283C5×SD16—22no—
284C5×SD16—22no—
285C2×C5×C8C22×D311yescharacteristic
286C2×C5×C8C22×D311yescharacteristic
287C5×C4⋊C4—21no—
288C5×C4⋊C4C22×D311yescharacteristic
289C5×C22⋊C4—21no—
290C22⋊Dic5—31no—
291C22⋊Dic5—31no—
292C22⋊Dic5—61no—
293C22⋊Dic5—61no—
294C22⋊Dic5—61no—
295C22⋊Dic5—61no—
296C22⋊Dic5—61no—
297#686—62no—
298#686—62no—
299#685—61no—
300#685—61no—
301#685—61no—
302#685—61no—
303C4⋊Dic5—31no—
304C4⋊Dic5—31no—
305C4⋊Dic5—31no—
306C4⋊Dic5—31no—
307C4⋊Dic5—31no—
308C4⋊Dic5—61no—
309#683—61no—
310C4×Dic5—31no—
311C4×Dic5—31no—
312C4×Dic5—61no—
313C4×Dic5—61no—
314C2×#168—31no—
315C2×#168—31no—
316#542—151no—
317#518—151no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—151no—
322#463—151no—
323#463—151no—
324#450D1511yescharacteristic, complemented
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×C5—41no—
347C3×C4×C5—41no—
348C3×C4×C5C2×#4111yescharacteristic
349C3×C4×C5C2×#4111yescharacteristic
350Dic15—21no—
351Dic15—21no—
352Dic15—21no—
353Dic15—21no—
354Dic15—41no—
355Dic15—41no—
356Dic15—41no—
357C24×C3—21no—
358C2×C3×Q8C22×D511yescharacteristic
359C2×C3×D4—22no—
360C2×C3×D4—22no—
361C2×C3×D4—21no—
362C2×C3×D4C22×D511yescharacteristic
363C2×C3×D4C22×D511yescharacteristic
364C22×C3×C4C22×D511yescharacteristic
365C2×#67—101no—
366C22×Dic3—101no—
367C22×Dic3—101no—
368C22×Dic3—101no—
369C22×Dic3—101no—
370C2×D12—51no—
371C2×C4×D3—101no—
372C2×Dic6—101no—
373C3×SD16—22no—
374C3×SD16—22no—
375C2×C3×C8C22×D511yescharacteristic
376C2×C3×C8C22×D511yescharacteristic
377C3×C4⋊C4—21no—
378C3×C4⋊C4C22×D511yescharacteristic
379C3×C22⋊C4—21no—
380#217—51no—
381#217—51no—
382#217—101no—
383#217—101no—
384#217—101no—
385#217—101no—
386#217—101no—
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⋊Dic3—51no—
394C4⋊Dic3—51no—
395C4⋊Dic3—51no—
396C4⋊Dic3—51no—
397C4⋊Dic3—51no—
398C4⋊Dic3—101no—
399Dic3⋊C4—101no—
400C4×Dic3—51no—
401C4×Dic3—51no—
402C4×Dic3—101no—
403C4×Dic3—101no—
404C2×C3⋊C8—51no—
405C2×C3⋊C8—51no—
406C23×C5—24no—
407C23×C5—21no—
408C23×C5—21no—
409C23×C5—81no—
410C23×C5—81no—
411C23×C5D3×D411yescharacteristic
412C22×D5—61no—
413C5×Q8—21no—
414C5×Q8—21no—
415C5×D4—24no—
416C5×D4—21no—
417C5×D4—21no—
418C5×D4#23712yes—
419C5×D4#23712yes—
420C2×C4×C5—21no—
421C2×C4×C5—21no—
422C2×C4×C5—21no—
423C2×C4×C5—21no—
424C2×C4×C5D3×D411yescharacteristic
425C2×C4×C5C23×D311yescharacteristic
426C22⋊D5—241no—
427C2×Dic5—31no—
428C2×Dic5—31no—
429C2×Dic5—31no—
430C2×Dic5—31no—
431C2×Dic5—61no—
432C2×Dic5—61no—
433C2×Dic5—61no—
434C2×Dic5—241no—
435C2×Dic5—241no—
436C2×Dic5—241no—
437C2×Dic5—241no—
438D20—61no—
439D20—61no—
440C4×D5—241no—
441Dic10—241no—
442C5×C8—21no—
443C5×C8—21no—
444#168—61no—
445#168—61no—
446C22×D4C2×D1511yescharacteristic
447C2×SD16C2×D1511yescharacteristic
448C2×SD16C2×D1511yescharacteristic
449C2×D8—151no—
450C2×D8—151no—
451C4⋊Q8—151no—
452#126—301no—
453#124—151no—
454#124—301no—
455#123—301no—
456C22⋊Q8—301no—
457C22⋊Q8C2×D1511yescharacteristic
458#121—151no—
459C4×Q8—151no—
460C4×D4—151no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—151no—
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—151no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102C2×D1511yescharacteristic
484#102C2×D1511yescharacteristic
485C22⋊C8—151no—
486C22⋊C8C2×D1511yescharacteristic
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×Q8—21no—
504C3×Q8—21no—
505C3×D4—24no—
506C3×D4—21no—
507C3×D4—21no—
508C3×D4#71112yes—
509C3×D4#71112yes—
510C2×C3×C4—21no—
511C2×C3×C4—21no—
512C2×C3×C4—21no—
513C2×C3×C4—21no—
514C2×C3×C4D4×D511yescharacteristic
515C2×C3×C4C23×D511yescharacteristic
516#67—401no—
517C2×Dic3—51no—
518C2×Dic3—51no—
519C2×Dic3—51no—
520C2×Dic3—51no—
521C2×Dic3—101no—
522C2×Dic3—101no—
523C2×Dic3—101no—
524C2×Dic3—401no—
525C2×Dic3—401no—
526C2×Dic3—401no—
527C2×Dic3—401no—
528D12—101no—
529D12—101no—
530C4×D3—401no—
531Dic6—401no—
532C3×C8—21no—
533C3×C8—21no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5—22no—
540C22×C5—22no—
541C22×C5—41no—
542C22×C5—41no—
543C22×C5—41no—
544C22×C5—41no—
545C22×C5—84no—
546C22×C5C2×D3×D411yescharacteristic
547C2×D5—121no—
548C2×D5—121no—
549C2×D5—121no—
550C4×C5—21no—
551C4×C5—41no—
552C4×C5—41no—
553C4×C5C2×#23711yescharacteristic
554C4×C5C2×#23711yescharacteristic
555Dic5—61no—
556Dic5—61no—
557Dic5—61no—
558Dic5—61no—
559Dic5—121no—
560Dic5—121no—
561Dic5—121no—
562C24—21no—
563C2×Q8—301no—
564C2×Q8C22×D1511yescharacteristic
565C2×D4—22no—
566C2×D4—22no—
567C2×D4—21no—
568C2×D4—151no—
569C2×D4—301no—
570C2×D4C22×D1511yescharacteristic
571C2×D4C22×D1511yescharacteristic
572C22×C4—301no—
573C22×C4—301no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4C22×D1511yescharacteristic
578SD16—22no—
579SD16—22no—
580D8—302no—
581D8—302no—
582C2×C8—151no—
583C2×C8—151no—
584C2×C8C22×D1511yescharacteristic
585C2×C8C22×D1511yescharacteristic
586C4⋊C4—21no—
587C4⋊C4—151no—
588C4⋊C4—151no—
589C4⋊C4—151no—
590C4⋊C4—151no—
591C4⋊C4—151no—
592C4⋊C4—301no—
593C4⋊C4—301no—
594C4⋊C4C22×D1511yescharacteristic
595C22⋊C4—21no—
596C22⋊C4—151no—
597C22⋊C4—151no—
598C22⋊C4—301no—
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—151no—
608C42—151no—
609C42—301no—
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—41no—
628C3×C4—41no—
629C3×C4C2×#71111yescharacteristic
630C3×C4C2×#71111yescharacteristic
631Dic3—101no—
632Dic3—101no—
633Dic3—101no—
634Dic3—101no—
635Dic3—201no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5—42no—
640C2×C5—42no—
641C2×C5#558611yescharacteristic
642C2×C5#576211yescharacteristic
643C2×C5#577411yescharacteristic
644D5—241no—
645C23—24no—
646C23—21no—
647C23—21no—
648C23—81no—
649C23—81no—
650C23—301no—
651C23D4×D1511yescharacteristic
652Q8—21no—
653Q8—21no—
654Q8—1201no—
655D4—24no—
656D4—21no—
657D4—21no—
658D4—301no—
659D4—301no—
660D4—1201no—
661D4#681912yes—
662D4#681912yes—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—151no—
668C2×C4—151no—
669C2×C4—151no—
670C2×C4—151no—
671C2×C4—301no—
672C2×C4—301no—
673C2×C4—301no—
674C2×C4—1201no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4—1201no—
679C2×C4D4×D1511yescharacteristic
680C2×C4C23×D1511yescharacteristic
681C8—21no—
682C8—21no—
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#8013611yescharacteristic, 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×D4×D1511yescharacteristic
707C4—21no—
708C4—41no—
709C4—41no—
710C4—301no—
711C4—301no—
712C4—301no—
713C4—301no—
714C4—601no—
715C4—601no—
716C4—601no—
717C4C2×#681911yescharacteristic
718C4C2×#681911yescharacteristic
719C3#1061186711yescharacteristic, complemented, Sylow
720C2—41no—
721C2—42no—
722C2—42no—
723C2—1201no—
724C2#1175634511yescharacteristic
725C2#1175652111yescharacteristic
726C2#1175653311yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#450C2
socleC22×C3×C5C22×D4
prime radical#11751318C2
hypercenter#450D15
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #450

Complements

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

NH ≅ G/Ntype
1. #11756557C2semidirect
2. #11756402C2semidirect
3. C3×C5×#450C2semidirect
5. #11751266C2semidirect
6. #11751266C2semidirect
7. #11751265C2semidirect
8. SD16×Dic15C2semidirect
9. #11751146C2semidirect
10. #11750886C2semidirect
11. #11750862C2semidirect
12. #11750860C2semidirect
13. #11750857C2semidirect
14. #11750838C2semidirect
15. #11750821C2semidirect
23. #91836C22semidirect
24. Q8×Dic15C22semidirect
38. #91782C22semidirect
39. #91777C22semidirect
45. #91119C22semidirect
46. #91119C22semidirect
50. #91105C22semidirect
51. #91105C22semidirect
52. #91102C22semidirect
53. #91101C22semidirect
54. #91099C22semidirect
55. #91098C22semidirect
56. #91098C22semidirect
57. C8×Dic15C22semidirect
58. #91092C22semidirect
59. #91091C22semidirect
63. C5×#450D3semidirect
127. C3×#450D5semidirect
324. #450D15semidirect
611. C3×C5#3118semidirect
692. C5#80136semidirect
719. C3#10611867semidirect

Maximal subgroups

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

subgroupindex
#117565572
#117564022
C3×C5×#4502
#117513182
#117512662
#117512652
SD16×Dic152
#117511462
#117508862
#117508622
#117508602
#117508572
#117508382
#117508212
#106118673
#801365