Finite Group Databasebeta

← #14435928

Subgroups — #14435928

Order 1920.

792 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#5535C211yesmaximal, characteristic, complemented
2C3×#65857C211yesmaximal, characteristic, complemented
3#11751101C211yesmaximal, characteristic, complemented
4#11748511C211yesmaximal, characteristic, complemented
5#11748511C211yesmaximal, characteristic, complemented
6#11748385C211yesmaximal, characteristic, complemented
7#11748381C211yesmaximal, characteristic, complemented
8#11747060C211yesmaximal, characteristic, complemented
9#11747050C211yesmaximal, characteristic, complemented
10C4×#6656C211yesmaximal, characteristic, complemented
11#11747026C211yesmaximal, characteristic, complemented
12#11747021C211yesmaximal, characteristic, complemented
13C4×#6652C211yesmaximal, characteristic, complemented
14#11746919C211yesmaximal, characteristic, complemented
15#11746887C211yesmaximal, characteristic, complemented
16#10615165—31nomaximal, Hall
17C2×C3×#709C2211yescharacteristic
18C3×C5×#117C2211yescharacteristic
19C5×#930C2211yescharacteristic
20C5×#930C2211yescharacteristic
21C5×#894—21no—
22C5×#894—21no—
23C5×#884—21no—
24C5×#884—21no—
25C5×#874C2211yescharacteristic
26C4×C5×D12C2211yescharacteristic
27C4×C5×D12C2211yescharacteristic
28C5×#870C2211yescharacteristic
29C2×C3×C4⋊Dic5C2211yescharacteristic
30C3×#4038—21no—
31C3×D5×C4⋊C4—21no—
32C3×#4027—21no—
33C3×#4027—21no—
34C3×C4×D20C2211yescharacteristic
35C3×C4×D20C2211yescharacteristic
36C3×C4×Dic10C2211yescharacteristic
37C3×C4×Dic10C2211yescharacteristic
38C2×#6656C2211yescharacteristic
39C2×#6656C2211yescharacteristic
40C2×#6652C2211yescharacteristic
41C2×#6652C2211yescharacteristic
42#91114C2211yescharacteristic
43#91114C2211yescharacteristic
44C4⋊(C3⋊#168)C2211yescharacteristic
45C4⋊(C3⋊#168)C2211yescharacteristic
46#91087C2211yescharacteristic
47C4×C3⋊#168C2211yescharacteristic
48#90989C2211yescharacteristic
49#90989C2211yescharacteristic
50#90986C2211yescharacteristic
51#90986C2211yescharacteristic
52#90970C2211yescharacteristic
53#90970C2211yescharacteristic
54#90966C2211yescharacteristic
55#90966C2211yescharacteristic
56#90966C2211yescharacteristic
57#90966C2211yescharacteristic
58#90964C2211yescharacteristic
59#90964C2211yescharacteristic
60#82568—51nomaximal, Hall
61C5×#540—31no—
62#65857D311yescharacteristic, complemented
63#65364—31no—
64#65361—31no—
65#65355—31no—
66#65352—31no—
67#65326—31no—
68#65326—31no—
69#65323—31no—
70#65322—31no—
71#65307—31no—
72C4×#687—31no—
73#65303—31no—
74C4×#686—31no—
75#65289—31no—
76C22×C3×C4×C5C2311yescharacteristic
77C2×C5×#67—21no—
78C2×C5×#67—21no—
79C2×C5×D12—21no—
80C2×C5×D12—21no—
81C2×C5×D12C2311yescharacteristic
82C2×C5×D12C2311yescharacteristic
83C2×C4×C5×D3—21no—
84C2×C4×C5×D3—21no—
85C2×C3×C22⋊D5—21no—
86C22×C3×Dic5—21no—
87C3×#709—22no—
88C3×#709—22no—
89C2×C3×D20C2311yescharacteristic
90C2×C3×C4×D5—21no—
91C2×C3×C4×D5—21no—
92C2×C3×C4×D5—21no—
93C2×C3×Dic10C2311yescharacteristic
94C3×C5×C4⋊C4D411yescharacteristic
95C3×C5×C4⋊C4D411yescharacteristic
96C3×C5×C22⋊C4D411yescharacteristic
97C3×C5×C22⋊C4D411yescharacteristic
98C3×C42×C5C2311yescharacteristic
99C3×C42×C5C2311yescharacteristic
100C2×C3⋊#168C2311yescharacteristic
101C2×C3⋊#168C2311yescharacteristic
102C2×C3⋊#168C2311yescharacteristic
103C2×C3⋊#168C2311yescharacteristic
104C5×(C2×D3)⋊C4—21no—
105C5×(C2×D3)⋊C4—21no—
106C5×(C2×D3)⋊C4—21no—
107C5×(C2×D3)⋊C4—21no—
108C5×C4⋊Dic3C2311yescharacteristic
109C5×C4⋊Dic3C2311yescharacteristic
110C5×Dic3⋊C4—21no—
111C5×Dic3⋊C4—21no—
112C3×#685—21no—
113C3×#685—21no—
114C3×C4⋊Dic5—21no—
115C3×C4⋊Dic5C2311yescharacteristic
116C3×C4⋊Dic5C2311yescharacteristic
117C3×#683—21no—
118C3×#683—21no—
119C3×C4×Dic5—21no—
120C3×C4×Dic5—21no—
121#6656—22no—
122#6656—22no—
123#6652—22no—
124#6652—22no—
125C3×#520—51no—
126#5535D511yescharacteristic, complemented
127#5238—51no—
128#5238—51no—
129#5027—51no—
130#5026—51no—
131C4×#215—51no—
132#5022—51no—
133#5015—51no—
134#5014—51no—
135C4×#213—51no—
136#5009—51no—
137#5000—51no—
138#4968—51no—
139#4967—51no—
140C2×#709C2×D311yescharacteristic
141C5×#127—31no—
142C5×#125—31no—
143C5×#123—61no—
144C5×#123—61no—
145C5×#121—31no—
146C5×#121—31no—
147C5×#121—61no—
148C5×#121—61no—
149C4×C5×D4—31no—
150C4×C5×D4—31no—
151C5×#117C2×D311yescharacteristic
152C2×#687—31no—
153C2×#687—31no—
154C2×#686—31no—
155C2×#686—31no—
156C2×C4⋊Dic5C2×D311yescharacteristic
157#4038—21no—
158D5×C4⋊C4—21no—
159#4027—21no—
160#4027—21no—
161C4×D20C2×D311yescharacteristic
162C4×D20C2×D311yescharacteristic
163C4×Dic10C2×D311yescharacteristic
164C4×Dic10C2×D311yescharacteristic
165#3964—31no—
166#3964—31no—
167#3964—31no—
168#3964—31no—
169C22⋊#168—31no—
170C22⋊#168—31no—
171#3942—31no—
172#3942—31no—
173#3941—31no—
174#3941—31no—
175#3940—31no—
176#3940—31no—
177#3939—31no—
178#3939—31no—
179C4⋊#168—31no—
180C4⋊#168—31no—
181#3935—31no—
182C4×#168—31no—
183#3119—151noSylow
184C23×C3×C5C2×D411yescharacteristic
185C22×C5×D3—21no—
186C22×C5×D3—21no—
187C22×C3×D5—21no—
188C2×C3×C4×C5—21no—
189C2×C3×C4×C5—21no—
190C2×C3×C4×C5C2×D411yescharacteristic
191C2×C3×C4×C5C2×D411yescharacteristic
192C2×C3×C4×C5C2×D411yescharacteristic
193C2×C3×C4×C5C2×D411yescharacteristic
194C2×C3×C4×C5C2×D411yescharacteristic
195C2×C3×C4×C5C2411yescharacteristic
196C5×#67—81no—
197C5×#67—81no—
198C2×C5×Dic3—21no—
199C2×C5×Dic3—21no—
200C5×D12—21no—
201C5×D12—21no—
202C5×D12—21no—
203C5×D12—21no—
204C5×D12—81no—
205C5×D12—81no—
206C4×C5×D3—81no—
207C4×C5×D3—81no—
208C3×C22⋊D5—24no—
209C2×C3×Dic5—21no—
210C2×C3×Dic5—21no—
211C2×C3×Dic5—21no—
212C2×C3×Dic5—81no—
213C3×D20—21no—
214C3×D20#4112yes—
215C3×C4×D5—24no—
216C3×C4×D5—81no—
217C3×C4×D5—81no—
218C3×Dic10—21no—
219C3×Dic10#4112yes—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C3⋊#168—21no—
223C3⋊#168—21no—
224C2×C3×#41—51no—
225C3×C4×Q8—51no—
226C3×C4×Q8—51no—
227C3×C4×D4—51no—
228C3×C4×D4—51no—
229C3×C4×D4—101no—
230C3×C4×D4—101no—
231C3×#117—101no—
232C3×#117C2×D511yescharacteristic
233C2×C3×C4⋊C4—51no—
234C2×C3×C4⋊C4—101no—
235C2×#215—51no—
236C2×#215—51no—
237C2×#213—51no—
238C2×#213—51no—
239#930C2×D511yescharacteristic
240#930C2×D511yescharacteristic
241#894—21no—
242#894—21no—
243#884—21no—
244#884—21no—
245#874C2×D511yescharacteristic
246C4×D12C2×D511yescharacteristic
247C4×D12C2×D511yescharacteristic
248#870C2×D511yescharacteristic
249#835—51no—
250#835—51no—
251#832—51no—
252#832—51no—
253#830—51no—
254#830—51no—
255#809—51no—
256#809—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—
267C2×C5×D4—31no—
268C2×C5×D4—31no—
269C2×C5×D4—61no—
270C2×C5×D4—61no—
271C2×C5×D4—61no—
272C2×C5×D4—61no—
273C22×C4×C5—61no—
274C22×C4×C5—61no—
275C22×C4×C5C22×D311yescharacteristic
276C2×C22⋊D5—21no—
277C22×Dic5—21no—
278#709—22no—
279#709—22no—
280C2×D20C22×D311yescharacteristic
281C2×C4×D5—21no—
282C2×C4×D5—21no—
283C2×C4×D5—21no—
284C2×Dic10C22×D311yescharacteristic
285C5×C4⋊C4—31no—
286C5×C4⋊C4—31no—
287C5×C4⋊C4—61no—
288C5×C4⋊C4—61no—
289C5×C4⋊C4#6711yescharacteristic
290C5×C4⋊C4#6711yescharacteristic
291C5×C22⋊C4—61no—
292C5×C22⋊C4—61no—
293C5×C22⋊C4—61no—
294C5×C22⋊C4—61no—
295C5×C22⋊C4#6711yescharacteristic
296C5×C22⋊C4#6711yescharacteristic
297C42×C5C22×D311yescharacteristic
298C42×C5C22×D311yescharacteristic
299#687—62no—
300#687—62no—
301#686—62no—
302#686—62no—
303#685—21no—
304#685—21no—
305C4⋊Dic5—21no—
306C4⋊Dic5C22×D311yescharacteristic
307C4⋊Dic5C22×D311yescharacteristic
308#683—21no—
309#683—21no—
310C4×Dic5—21no—
311C4×Dic5—21no—
312C2×#168—31no—
313C2×#168—31no—
314C2×#168—31no—
315C2×#168—31no—
316#540—31no—
317#520—51no—
318#481—151no—
319#480—151no—
320#479—151no—
321#478—151no—
322#460—151no—
323#459—151no—
324#449—151no—
325#449—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×C5C22×D411yescharacteristic
335C2×C5×D3—41no—
336C2×C5×D3—41no—
337C2×C5×D3—41no—
338C2×C5×D3—41no—
339C2×C5×D3—41no—
340C2×C5×D3—41no—
341C2×C3×D5—22no—
342C2×C3×D5—41no—
343C2×C3×D5—41no—
344C3×C4×C5—21no—
345C3×C4×C5—21no—
346C3×C4×C5—21no—
347C3×C4×C5—21no—
348C3×C4×C5—21no—
349C3×C4×C5C2×#4111yescharacteristic
350C3×C4×C5C2×#4111yescharacteristic
351C3×Dic5—22no—
352C3×Dic5—41no—
353C3×Dic5—41no—
354C5×Dic3—41no—
355C5×Dic3—41no—
356C3×#41—102no—
357C3×#41—102no—
358C2×C3×Q8—51no—
359C2×C3×D4—51no—
360C2×C3×D4—101no—
361C22×C3×C4—101no—
362C22×C3×C4—101no—
363C22×C3×C4—101no—
364C22×C3×C4—101no—
365C22×C3×C4C22×D511yescharacteristic
366C2×#67—21no—
367C2×#67—21no—
368C2×D12—21no—
369C2×D12—21no—
370C2×D12C22×D511yescharacteristic
371C2×D12C22×D511yescharacteristic
372C2×C4×D3—21no—
373C2×C4×D3—21no—
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×C4⋊C4C22⋊D511yescharacteristic
381C3×C22⋊C4—101no—
382C3×C22⋊C4—101no—
383C3×C22⋊C4C22⋊D511yescharacteristic
384C3×C22⋊C4C22⋊D511yescharacteristic
385C3×C42—101no—
386C3×C42—101no—
387C3×C42C22×D511yescharacteristic
388C3×C42C22×D511yescharacteristic
389#215—102no—
390#215—102no—
391#213—102no—
392#213—102no—
393(C2×D3)⋊C4—21no—
394(C2×D3)⋊C4—21no—
395(C2×D3)⋊C4—21no—
396(C2×D3)⋊C4—21no—
397C4⋊Dic3C22×D511yescharacteristic
398C4⋊Dic3C22×D511yescharacteristic
399Dic3⋊C4—21no—
400Dic3⋊C4—21no—
401C2×C3⋊C8—51no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8—51no—
404C2×C3⋊C8—51no—
405C23×C5—61no—
406C23×C5—61no—
407C23×C5C2×#6711yescharacteristic
408C22×D5—21no—
409C5×D4—61no—
410C5×D4—61no—
411C5×D4—61no—
412C5×D4—61no—
413C5×D4—241no—
414C5×D4—241no—
415C5×D4—241no—
416C5×D4—241no—
417C2×C4×C5—21no—
418C2×C4×C5—21no—
419C2×C4×C5—61no—
420C2×C4×C5—61no—
421C2×C4×C5—241no—
422C2×C4×C5—241no—
423C2×C4×C5C2×#6711yescharacteristic
424C2×C4×C5C2×#6711yescharacteristic
425C2×C4×C5C2×#6711yescharacteristic
426C2×C4×C5C2×#6711yescharacteristic
427C2×C4×C5C2×#6711yescharacteristic
428C2×C4×C5C23×D311yescharacteristic
429C22⋊D5—24no—
430C2×Dic5—21no—
431C2×Dic5—21no—
432C2×Dic5—21no—
433C2×Dic5—81no—
434D20—21no—
435D20#23512yes—
436C4×D5—24no—
437C4×D5—81no—
438C4×D5—81no—
439Dic10—21no—
440Dic10#23512yes—
441#168—61no—
442#168—61no—
443#168—61no—
444#168—61no—
445C2×#41—51no—
446C2×SD16—151no—
447C2×SD16—151no—
448C2×D8—151no—
449C2×D8—151no—
450#127—31no—
451#125—31no—
452#123—61no—
453#123—61no—
454#121—31no—
455#121—31no—
456#121—61no—
457#121—61no—
458C4×Q8—51no—
459C4×Q8—51no—
460C4×D4—31no—
461C4×D4—31no—
462C4×D4—51no—
463C4×D4—51no—
464C4×D4—101no—
465C4×D4—101no—
466#117—101no—
467#117D3×D511yescharacteristic
468C2×C4⋊C4—51no—
469C2×C4⋊C4—101no—
470#107—151no—
471#107—151no—
472#106—151no—
473#106—151no—
474C4⋊C8—151no—
475C4⋊C8—151no—
476#103—151no—
477#103—151no—
478#102—151no—
479#102—151no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102—151no—
484C22⋊C8—151no—
485C22⋊C8—151no—
486#97—151no—
487C4×C8—151no—
488C2×C3×C5—41no—
489C2×C3×C5#52511yescharacteristic
490C2×C3×C5#57611yescharacteristic
491C2×C3×C5#57711yescharacteristic
492C3×D5—42no—
493C5×D3—81no—
494C5×D3—81no—
495C23×C3—101no—
496C23×C3C2×C22⋊D511yescharacteristic
497C22×D3—21no—
498C22×D3—21no—
499C3×Q8—52no—
500C3×Q8—101no—
501C3×D4—52no—
502C3×D4—104no—
503C3×D4—101no—
504C2×C3×C4—21no—
505C2×C3×C4—21no—
506C2×C3×C4—104no—
507C2×C3×C4—101no—
508C2×C3×C4—101no—
509C2×C3×C4—101no—
510C2×C3×C4—401no—
511C2×C3×C4—401no—
512C2×C3×C4—401no—
513C2×C3×C4C2×C22⋊D511yescharacteristic
514C2×C3×C4C2×C22⋊D511yescharacteristic
515C2×C3×C4C2×C22⋊D511yescharacteristic
516C2×C3×C4C2×C22⋊D511yescharacteristic
517C2×C3×C4C2×C22⋊D511yescharacteristic
518C2×C3×C4C23×D511yescharacteristic
519#67—81no—
520#67—81no—
521C2×Dic3—21no—
522C2×Dic3—21no—
523D12—21no—
524D12—21no—
525D12—21no—
526D12—21no—
527D12—81no—
528D12—81no—
529C4×D3—81no—
530C4×D3—81no—
531C3⋊C8—101no—
532C3⋊C8—101no—
533C3⋊C8—101no—
534C3⋊C8—101no—
535C22×C5—21no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—121no—
539C22×C5—121no—
540C22×C5—121no—
541C22×C5—121no—
542C22×C5—121no—
543C22×C5—121no—
544C22×C5C22×#6711yescharacteristic
545C2×D5—22no—
546C2×D5—41no—
547C2×D5—41no—
548C4×C5—21no—
549C4×C5—21no—
550C4×C5—21no—
551C4×C5—21no—
552C4×C5—21no—
553C4×C5—121no—
554C4×C5—121no—
555C4×C5C2×#23511yescharacteristic
556C4×C5C2×#23511yescharacteristic
557Dic5—22no—
558Dic5—41no—
559Dic5—41no—
560#41—102no—
561#41—102no—
562C2×Q8—51no—
563C2×D4—31no—
564C2×D4—31no—
565C2×D4—51no—
566C2×D4—61no—
567C2×D4—61no—
568C2×D4—61no—
569C2×D4—61no—
570C2×D4—101no—
571C22×C4—61no—
572C22×C4—61no—
573C22×C4—101no—
574C22×C4—101no—
575C22×C4—101no—
576C22×C4—101no—
577C22×C4C2×D3×D511yescharacteristic
578SD16—302no—
579SD16—302no—
580D8—302no—
581D8—302no—
582C2×C8—151no—
583C2×C8—151no—
584C2×C8—151no—
585C2×C8—151no—
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—51no—
589C4⋊C4—51no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—101no—
593C4⋊C4—101no—
594C4⋊C4—101no—
595C4⋊C4#120111yescharacteristic
596C4⋊C4#120111yescharacteristic
597C22⋊C4—61no—
598C22⋊C4—61no—
599C22⋊C4—61no—
600C22⋊C4—61no—
601C22⋊C4—101no—
602C22⋊C4—101no—
603C22⋊C4#120111yescharacteristic
604C22⋊C4#120111yescharacteristic
605C42—101no—
606C42—101no—
607C42C2×D3×D511yescharacteristic
608C42C2×D3×D511yescharacteristic
609C3×C5#311911yescharacteristic, complemented, Hall
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—21no—
613C22×C3—102no—
614C22×C3—201no—
615C22×C3—201no—
616C22×C3C22×C22⋊D511yescharacteristic
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—41no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—102no—
629C3×C4—201no—
630C3×C4—201no—
631C3×C4D5×#4111yescharacteristic
632C3×C4D5×#4111yescharacteristic
633Dic3—41no—
634Dic3—41no—
635C2×C5—41no—
636C2×C5—241no—
637C2×C5—241no—
638C2×C5#579111yescharacteristic
639C2×C5#583511yescharacteristic
640C2×C5#583711yescharacteristic
641D5—42no—
642C23—61no—
643C23—61no—
644C23—101no—
645C23C2×#120111yescharacteristic
646Q8—52no—
647Q8—101no—
648D4—52no—
649D4—61no—
650D4—61no—
651D4—61no—
652D4—61no—
653D4—104no—
654D4—101no—
655D4—241no—
656D4—241no—
657D4—241no—
658D4—241no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—104no—
664C2×C4—101no—
665C2×C4—101no—
666C2×C4—101no—
667C2×C4—241no—
668C2×C4—241no—
669C2×C4—401no—
670C2×C4—401no—
671C2×C4—401no—
672C2×C4C2×#120111yescharacteristic
673C2×C4C2×#120111yescharacteristic
674C2×C4C2×#120111yescharacteristic
675C2×C4C2×#120111yescharacteristic
676C2×C4C2×#120111yescharacteristic
677C2×C4C22×D3×D511yescharacteristic
678C8—301no—
679C8—301no—
680C8—301no—
681C8—301no—
682C2×C3—41no—
683C2×C3—202no—
684C2×C3#6616211yescharacteristic
685C2×C3#6616911yescharacteristic
686C2×C3#6617011yescharacteristic
687D3—81no—
688D3—81no—
689C5#8256811yescharacteristic, complemented, Sylow
690C22—21no—
691C22—21no—
692C22—21no—
693C22—102no—
694C22—121no—
695C22—121no—
696C22—121no—
697C22—121no—
698C22—121no—
699C22—121no—
700C22—201no—
701C22—201no—
702C22C22×#120111yescharacteristic
703C4—21no—
704C4—21no—
705C4—21no—
706C4—21no—
707C4—21no—
708C4—102no—
709C4—121no—
710C4—121no—
711C4—201no—
712C4—201no—
713C4D5×#23511yescharacteristic
714C4D5×#23511yescharacteristic
715C3#1061516511yescharacteristic, complemented, Sylow
716C2—41no—
717C2—202no—
718C2—241no—
719C2—241no—
720C2#1175456311yescharacteristic
721C2#1175530111yescharacteristic
722C2#1175530411yescharacteristic
subgroupG/H
centerC22C22×#1201
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#117C22
socleC22×C3×C5C22×D4
hypercenter#117D3×D5
hypocenterC3×C5#3119
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. C5×#5535C2semidirect
2. C3×#65857C2semidirect
3. #11751101C2semidirect
4. #11748511C2semidirect
5. #11748511C2semidirect
6. #11748385C2semidirect
7. #11748381C2semidirect
8. #11747060C2semidirect
9. #11747050C2semidirect
10. C4×#6656C2semidirect
11. #11747026C2semidirect
12. #11747021C2semidirect
13. C4×#6652C2semidirect
14. #11746919C2semidirect
15. #11746887C2semidirect
62. #65857D3semidirect
126. #5535D5semidirect
609. C3×C5#3119semidirect
689. C5#82568semidirect
715. C3#10615165semidirect

Maximal subgroups

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

subgroupindex
C5×#55352
C3×#658572
#117511012
#117485112
#117483852
#117483812
#117470602
#117470502
C4×#66562
#117470262
#117470212
C4×#66522
#117469192
#117468872
#106151653
#825685