Finite Group Databasebeta

← #14435930

Subgroups — #14435930

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×#5523C211yesmaximal, characteristic, complemented
2C3×#65869C211yesmaximal, characteristic, complemented
3#11751101C211yesmaximal, characteristic, complemented
4#11748517C211yesmaximal, characteristic, complemented
5#11748517C211yesmaximal, characteristic, complemented
6#11748372C211yesmaximal, characteristic, complemented
7#11748370C211yesmaximal, characteristic, complemented
8#11747068C211yesmaximal, characteristic, complemented
9#11747048C211yesmaximal, characteristic, complemented
10C4×#6655C211yesmaximal, characteristic, complemented
11#11747033C211yesmaximal, characteristic, complemented
12#11747021C211yesmaximal, characteristic, complemented
13C4×#6652C211yesmaximal, characteristic, complemented
14#11746926C211yesmaximal, characteristic, complemented
15#11746902C211yesmaximal, characteristic, complemented
16#10614299—31nomaximal, Hall
17C2×C5×#235C2211yescharacteristic
18C3×C5×#117C2211yescharacteristic
19C2×C5×C4⋊Dic3C2211yescharacteristic
20C5×#892—21no—
21C5×D3×C4⋊C4—21no—
22C5×#67⋊C4—21no—
23C5×#67⋊C4—21no—
24C4×C5×D12C2211yescharacteristic
25C4×C5×D12C2211yescharacteristic
26C4×C5×Dic6C2211yescharacteristic
27C4×C5×Dic6C2211yescharacteristic
28C3×#4076C2211yescharacteristic
29C3×#4076C2211yescharacteristic
30C3×#4040—21no—
31C3×#4040—21no—
32C3×#4030—21no—
33C3×#4030—21no—
34C3×#4020C2211yescharacteristic
35C3×C4×D20C2211yescharacteristic
36C3×C4×D20C2211yescharacteristic
37C3×#4016C2211yescharacteristic
38C2×#6655C2211yescharacteristic
39C2×#6655C2211yescharacteristic
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#90972C2211yescharacteristic
53#90972C2211yescharacteristic
54#90966C2211yescharacteristic
55#90966C2211yescharacteristic
56#90964C2211yescharacteristic
57#90964C2211yescharacteristic
58#90964C2211yescharacteristic
59#90964C2211yescharacteristic
60#83434—51nomaximal, Hall
61C5×#520—31no—
62#65869D311yescharacteristic, complemented
63#65527—31no—
64#65527—31no—
65#65316—31no—
66#65315—31no—
67C4×#688—31no—
68#65311—31no—
69#65304—31no—
70#65303—31no—
71C4×#686—31no—
72#65298—31no—
73#65289—31no—
74#65257—31no—
75#65256—31no—
76C22×C3×C4×C5C2311yescharacteristic
77C2×C5×#67—21no—
78C22×C5×Dic3—21no—
79C5×#235—22no—
80C5×#235—22no—
81C2×C5×D12C2311yescharacteristic
82C2×C4×C5×D3—21no—
83C2×C4×C5×D3—21no—
84C2×C4×C5×D3—21no—
85C2×C5×Dic6C2311yescharacteristic
86C2×C3×C22⋊D5—21no—
87C2×C3×C22⋊D5—21no—
88C2×C3×D20—21no—
89C2×C3×D20—21no—
90C2×C3×D20C2311yescharacteristic
91C2×C3×D20C2311yescharacteristic
92C2×C3×C4×D5—21no—
93C2×C3×C4×D5—21no—
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×C4⋊Dic3—21no—
107C5×C4⋊Dic3C2311yescharacteristic
108C5×C4⋊Dic3C2311yescharacteristic
109C5×Dic3⋊C4—21no—
110C5×Dic3⋊C4—21no—
111C4×C5×Dic3—21no—
112C4×C5×Dic3—21no—
113C3×#685—21no—
114C3×#685—21no—
115C3×#685—21no—
116C3×#685—21no—
117C3×C4⋊Dic5C2311yescharacteristic
118C3×C4⋊Dic5C2311yescharacteristic
119C3×#683—21no—
120C3×#683—21no—
121#6655—22no—
122#6655—22no—
123#6652—22no—
124#6652—22no—
125C3×#540—51no—
126#5523D511yescharacteristic, complemented
127#5075—51no—
128#5072—51no—
129#5066—51no—
130#5063—51no—
131#5037—51no—
132#5037—51no—
133#5034—51no—
134#5033—51no—
135#5018—51no—
136C4×#214—51no—
137#5014—51no—
138C4×#213—51no—
139#5000—51no—
140C2×C5×#41—31no—
141C4×C5×Q8—31no—
142C4×C5×Q8—31no—
143C4×C5×D4—31no—
144C4×C5×D4—31no—
145C4×C5×D4—61no—
146C4×C5×D4—61no—
147C5×#117—61no—
148C5×#117C2×D311yescharacteristic
149C2×C5×C4⋊C4—31no—
150C2×C5×C4⋊C4—61no—
151C2×#688—31no—
152C2×#688—31no—
153C2×#686—31no—
154C2×#686—31no—
155#4076C2×D311yescharacteristic
156#4076C2×D311yescharacteristic
157#4040—21no—
158#4040—21no—
159#4030—21no—
160#4030—21no—
161#4020C2×D311yescharacteristic
162C4×D20C2×D311yescharacteristic
163C4×D20C2×D311yescharacteristic
164#4016C2×D311yescharacteristic
165#3967—31no—
166#3967—31no—
167#3964—31no—
168#3964—31no—
169C22⋊#168—31no—
170C22⋊#168—31no—
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⋊#168—31no—
180C4⋊#168—31no—
181#3935—31no—
182C4×#168—31no—
183#3119—151noSylow
184C23×C3×C5C2×D411yescharacteristic
185C22×C5×D3—21no—
186C22×C3×D5—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—24no—
197C2×C5×Dic3—21no—
198C2×C5×Dic3—21no—
199C2×C5×Dic3—21no—
200C2×C5×Dic3—81no—
201C5×D12—21no—
202C5×D12#4112yes—
203C4×C5×D3—24no—
204C4×C5×D3—81no—
205C4×C5×D3—81no—
206C5×Dic6—21no—
207C5×Dic6#4112yes—
208C3×C22⋊D5—81no—
209C3×C22⋊D5—81no—
210C2×C3×Dic5—21no—
211C2×C3×Dic5—21no—
212C3×D20—21no—
213C3×D20—21no—
214C3×D20—21no—
215C3×D20—21no—
216C3×D20—81no—
217C3×D20—81no—
218C3×C4×D5—81no—
219C3×C4×D5—81no—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C3⋊#168—21no—
223C3⋊#168—21no—
224C2×#235C2×D511yescharacteristic
225C3×#127—51no—
226C3×#125—51no—
227C3×#123—101no—
228C3×#123—101no—
229C3×#121—51no—
230C3×#121—51no—
231C3×#121—101no—
232C3×#121—101no—
233C3×C4×D4—51no—
234C3×C4×D4—51no—
235C3×#117C2×D511yescharacteristic
236C2×#214—51no—
237C2×#214—51no—
238C2×#213—51no—
239C2×#213—51no—
240C2×C4⋊Dic3C2×D511yescharacteristic
241#892—21no—
242D3×C4⋊C4—21no—
243#67⋊C4—21no—
244#67⋊C4—21no—
245C4×D12C2×D511yescharacteristic
246C4×D12C2×D511yescharacteristic
247C4×Dic6C2×D511yescharacteristic
248C4×Dic6C2×D511yescharacteristic
249#832—51no—
250#832—51no—
251#832—51no—
252#832—51no—
253#830—51no—
254#830—51no—
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—
267C5×#41—62no—
268C5×#41—62no—
269C2×C5×Q8—31no—
270C2×C5×D4—31no—
271C2×C5×D4—61no—
272C22×C4×C5—61no—
273C22×C4×C5—61no—
274C22×C4×C5—61no—
275C22×C4×C5—61no—
276C22×C4×C5C22×D311yescharacteristic
277C2×C22⋊D5—21no—
278C2×C22⋊D5—21no—
279C2×D20—21no—
280C2×D20—21no—
281C2×D20C22×D311yescharacteristic
282C2×D20C22×D311yescharacteristic
283C2×C4×D5—21no—
284C2×C4×D5—21no—
285C5×C4⋊C4—31no—
286C5×C4⋊C4—31no—
287C5×C4⋊C4—61no—
288C5×C4⋊C4—61no—
289C5×C4⋊C4—61no—
290C5×C4⋊C4#6711yescharacteristic
291C5×C4⋊C4#6711yescharacteristic
292C5×C22⋊C4—61no—
293C5×C22⋊C4—61no—
294C5×C22⋊C4#6711yescharacteristic
295C5×C22⋊C4#6711yescharacteristic
296C42×C5—61no—
297C42×C5—61no—
298C42×C5C22×D311yescharacteristic
299C42×C5C22×D311yescharacteristic
300#688—62no—
301#688—62no—
302#686—62no—
303#686—62no—
304#685—21no—
305#685—21no—
306#685—21no—
307#685—21no—
308C4⋊Dic5C22×D311yescharacteristic
309C4⋊Dic5C22×D311yescharacteristic
310#683—21no—
311#683—21no—
312C2×#168—31no—
313C2×#168—31no—
314C2×#168—31no—
315C2×#168—31no—
316#540—51no—
317#520—31no—
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—22no—
336C2×C5×D3—41no—
337C2×C5×D3—41no—
338C2×C3×D5—41no—
339C2×C3×D5—41no—
340C2×C3×D5—41no—
341C2×C3×D5—41no—
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—41no—
352C3×Dic5—41no—
353C5×Dic3—22no—
354C5×Dic3—41no—
355C5×Dic3—41no—
356C2×C3×D4—51no—
357C2×C3×D4—51no—
358C2×C3×D4—101no—
359C2×C3×D4—101no—
360C2×C3×D4—101no—
361C2×C3×D4—101no—
362C22×C3×C4—101no—
363C22×C3×C4—101no—
364C22×C3×C4C22×D511yescharacteristic
365C2×#67—21no—
366C22×Dic3—21no—
367#235—22no—
368#235—22no—
369C2×D12C22×D511yescharacteristic
370C2×C4×D3—21no—
371C2×C4×D3—21no—
372C2×C4×D3—21no—
373C2×Dic6C22×D511yescharacteristic
374C3×C4⋊C4—51no—
375C3×C4⋊C4—51no—
376C3×C4⋊C4—101no—
377C3×C4⋊C4—101no—
378C3×C4⋊C4C22⋊D511yescharacteristic
379C3×C4⋊C4C22⋊D511yescharacteristic
380C3×C22⋊C4—101no—
381C3×C22⋊C4—101no—
382C3×C22⋊C4—101no—
383C3×C22⋊C4—101no—
384C3×C22⋊C4C22⋊D511yescharacteristic
385C3×C22⋊C4C22⋊D511yescharacteristic
386C3×C42C22×D511yescharacteristic
387C3×C42C22×D511yescharacteristic
388#214—102no—
389#214—102no—
390#213—102no—
391#213—102no—
392(C2×D3)⋊C4—21no—
393(C2×D3)⋊C4—21no—
394C4⋊Dic3—21no—
395C4⋊Dic3C22×D511yescharacteristic
396C4⋊Dic3C22×D511yescharacteristic
397Dic3⋊C4—21no—
398Dic3⋊C4—21no—
399C4×Dic3—21no—
400C4×Dic3—21no—
401C2×C3⋊C8—51no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8—51no—
404C2×C3⋊C8—51no—
405C23×C5—61no—
406C23×C5C2×#6711yescharacteristic
407C22×D5—21no—
408C22×D5—21no—
409C5×Q8—32no—
410C5×Q8—61no—
411C5×D4—32no—
412C5×D4—64no—
413C5×D4—61no—
414C2×C4×C5—21no—
415C2×C4×C5—21no—
416C2×C4×C5—64no—
417C2×C4×C5—61no—
418C2×C4×C5—61no—
419C2×C4×C5—61no—
420C2×C4×C5—241no—
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—81no—
430C22⋊D5—81no—
431C2×Dic5—21no—
432C2×Dic5—21no—
433D20—21no—
434D20—21no—
435D20—21no—
436D20—21no—
437D20—81no—
438D20—81no—
439C4×D5—81no—
440C4×D5—81no—
441#168—61no—
442#168—61no—
443#168—61no—
444#168—61no—
445C2×#41—31no—
446C2×SD16—151no—
447C2×SD16—151no—
448C2×D8—151no—
449C2×D8—151no—
450#127—51no—
451#125—51no—
452#123—101no—
453#123—101no—
454#121—51no—
455#121—51no—
456#121—101no—
457#121—101no—
458C4×Q8—31no—
459C4×Q8—31no—
460C4×D4—31no—
461C4×D4—31no—
462C4×D4—51no—
463C4×D4—51no—
464C4×D4—61no—
465C4×D4—61no—
466#117—61no—
467#117D3×D511yescharacteristic
468C2×C4⋊C4—31no—
469C2×C4⋊C4—61no—
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—81no—
493C3×D5—81no—
494C5×D3—42no—
495C23×C3—101no—
496C23×C3—101no—
497C23×C3C2×C22⋊D511yescharacteristic
498C22×D3—21no—
499C3×D4—101no—
500C3×D4—101no—
501C3×D4—101no—
502C3×D4—101no—
503C3×D4—401no—
504C3×D4—401no—
505C3×D4—401no—
506C3×D4—401no—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—101no—
510C2×C3×C4—101no—
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—24no—
520C2×Dic3—21no—
521C2×Dic3—21no—
522C2×Dic3—21no—
523C2×Dic3—81no—
524D12—21no—
525D12#70912yes—
526C4×D3—24no—
527C4×D3—81no—
528C4×D3—81no—
529Dic6—21no—
530Dic6#70912yes—
531C3⋊C8—101no—
532C3⋊C8—101no—
533C3⋊C8—101no—
534C3⋊C8—101no—
535C22×C5—21no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—62no—
539C22×C5—121no—
540C22×C5—121no—
541C22×C5C22×#6711yescharacteristic
542C2×D5—41no—
543C2×D5—41no—
544C2×D5—41no—
545C2×D5—41no—
546C2×D5—41no—
547C2×D5—41no—
548C4×C5—21no—
549C4×C5—21no—
550C4×C5—21no—
551C4×C5—21no—
552C4×C5—21no—
553C4×C5—62no—
554C4×C5—121no—
555C4×C5—121no—
556C4×C5D3×#4111yescharacteristic
557C4×C5D3×#4111yescharacteristic
558Dic5—41no—
559Dic5—41no—
560#41—62no—
561#41—62no—
562C2×Q8—31no—
563C2×D4—31no—
564C2×D4—51no—
565C2×D4—51no—
566C2×D4—61no—
567C2×D4—101no—
568C2×D4—101no—
569C2×D4—101no—
570C2×D4—101no—
571C22×C4—61no—
572C22×C4—61no—
573C22×C4—61no—
574C22×C4—61no—
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—61no—
593C4⋊C4—101no—
594C4⋊C4—101no—
595C4⋊C4#120111yescharacteristic
596C4⋊C4#120111yescharacteristic
597C22⋊C4—61no—
598C22⋊C4—61no—
599C22⋊C4—101no—
600C22⋊C4—101no—
601C22⋊C4—101no—
602C22⋊C4—101no—
603C22⋊C4#120111yescharacteristic
604C22⋊C4#120111yescharacteristic
605C42—61no—
606C42—61no—
607C42C2×D3×D511yescharacteristic
608C42C2×D3×D511yescharacteristic
609C3×C5#311911yescharacteristic, complemented, Hall
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—21no—
613C22×C3—201no—
614C22×C3—201no—
615C22×C3—201no—
616C22×C3—201no—
617C22×C3—201no—
618C22×C3—201no—
619C22×C3C22×C22⋊D511yescharacteristic
620C2×D3—22no—
621C2×D3—41no—
622C2×D3—41no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—201no—
629C3×C4—201no—
630C3×C4C2×#70911yescharacteristic
631C3×C4C2×#70911yescharacteristic
632Dic3—22no—
633Dic3—41no—
634Dic3—41no—
635C2×C5—41no—
636C2×C5—122no—
637C2×C5#582811yescharacteristic
638C2×C5#583511yescharacteristic
639C2×C5#583611yescharacteristic
640D5—81no—
641D5—81no—
642C23—61no—
643C23—101no—
644C23—101no—
645C23C2×#120111yescharacteristic
646Q8—32no—
647Q8—61no—
648D4—32no—
649D4—64no—
650D4—61no—
651D4—101no—
652D4—101no—
653D4—101no—
654D4—101no—
655D4—401no—
656D4—401no—
657D4—401no—
658D4—401no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—64no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—101no—
666C2×C4—101no—
667C2×C4—241no—
668C2×C4—241no—
669C2×C4—241no—
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—401no—
684C2×C3—401no—
685C2×C3#6612511yescharacteristic
686C2×C3#6616911yescharacteristic
687C2×C3#6617111yescharacteristic
688D3—42no—
689C5#8343411yescharacteristic, complemented, Sylow
690C22—21no—
691C22—21no—
692C22—21no—
693C22—62no—
694C22—121no—
695C22—121no—
696C22—201no—
697C22—201no—
698C22—201no—
699C22—201no—
700C22—201no—
701C22—201no—
702C22C22×#120111yescharacteristic
703C4—21no—
704C4—21no—
705C4—21no—
706C4—21no—
707C4—21no—
708C4—62no—
709C4—121no—
710C4—121no—
711C4—201no—
712C4—201no—
713C4D3×#70911yescharacteristic
714C4D3×#70911yescharacteristic
715C3#1061429911yescharacteristic, complemented, Sylow
716C2—41no—
717C2—122no—
718C2—401no—
719C2—401no—
720C2#1175457711yescharacteristic
721C2#1175530111yescharacteristic
722C2#1175530311yescharacteristic
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×#5523C2semidirect
2. C3×#65869C2semidirect
3. #11751101C2semidirect
4. #11748517C2semidirect
5. #11748517C2semidirect
6. #11748372C2semidirect
7. #11748370C2semidirect
8. #11747068C2semidirect
9. #11747048C2semidirect
10. C4×#6655C2semidirect
11. #11747033C2semidirect
12. #11747021C2semidirect
13. C4×#6652C2semidirect
14. #11746926C2semidirect
15. #11746902C2semidirect
62. #65869D3semidirect
126. #5523D5semidirect
609. C3×C5#3119semidirect
689. C5#83434semidirect
715. C3#10614299semidirect

Maximal subgroups

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

subgroupindex
C5×#55232
C3×#658692
#117511012
#117485172
#117483722
#117483702
#117470682
#117470482
C4×#66552
#117470332
#117470212
C4×#66522
#117469262
#117469022
#106142993
#834345