Finite Group Databasebeta

← #14435892

Subgroups — #14435892

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
1C3×#66161C211yesmaximal, characteristic, complemented
2#11754507C211yesmaximal, characteristic, complemented
3#11751339C211yesmaximal, characteristic, complemented
4C5×#5238C211yesmaximal, characteristic, complemented
5#11749338C211yesmaximal, characteristic, complemented
6#11749329C211yesmaximal, characteristic, complemented
7#11749223C211yesmaximal, characteristic, complemented
8#11749221C211yesmaximal, characteristic, complemented
9#11749092C211yesmaximal, characteristic, complemented
10#11749086C211yesmaximal, characteristic, complemented
11#11748979C211yesmaximal, characteristic, complemented
12Dic5×#213C211yesmaximal, characteristic, complemented
13#11748474C211yesmaximal, characteristic, complemented
14#11748385C211yesmaximal, characteristic, complemented
15#11748319C211yesmaximal, characteristic, complemented
16#10611803—31nomaximal, Hall
17C2×C3×C5×#41C2211yescharacteristic
18C2×#6717C2211yescharacteristic
19C2×#6715C2211yescharacteristic
20#91819C2211yescharacteristic
21C2×C5×#215C2211yescharacteristic
22C2×C5×#213C2211yescharacteristic
23C5×#930C2211yescharacteristic
24C3×Q8×Dic5C2211yescharacteristic
25C3×Q8×Dic5C2211yescharacteristic
26C3×D4×Dic5—21no—
27C3×D4×Dic5—21no—
28C3×D4×Dic5C2211yescharacteristic
29C3×D4×Dic5C2211yescharacteristic
30C3×#4072—21no—
31C3×#4072C2211yescharacteristic
32C2×C3×C4⋊Dic5—21no—
33C2×C3×C4⋊Dic5C2211yescharacteristic
34#91558—21no—
35#91557—21no—
36#91451C2211yescharacteristic
37#91438—21no—
38#91427—21no—
39#91418C2211yescharacteristic
40Dic5×D12C2211yescharacteristic
41#91388C2211yescharacteristic
42#91119C2211yescharacteristic
43#91116C2211yescharacteristic
44#91114C2211yescharacteristic
45C5×#835C2211yescharacteristic
46C5×#832C2211yescharacteristic
47C5×#830C2211yescharacteristic
48#90990C2211yescharacteristic
49#90990C2211yescharacteristic
50#90986C2211yescharacteristic
51#90986C2211yescharacteristic
52#90982C2211yescharacteristic
53#90982C2211yescharacteristic
54#90968C2211yescharacteristic
55#90968C2211yescharacteristic
56#90966C2211yescharacteristic
57#90966C2211yescharacteristic
58#90952C2211yescharacteristic
59Dic5×C3⋊C8C2211yescharacteristic
60#82568—51nomaximal, Hall
61#66161D311yescharacteristic, complemented
62#65953—31no—
63C5×#449—31no—
64#65527—31no—
65#65453—31no—
66#65452—31no—
67#65439—31no—
68D8×Dic5—31no—
69#65323—31no—
70#65085—31no—
71#65077—31no—
72#65074—31no—
73#65055—31no—
74#65025—31no—
75#65009—31no—
76C3×C5×#41—22no—
77C3×C5×#41—22no—
78C2×C3×C5×Q8C2311yescharacteristic
79C2×C3×C5×D4—21no—
80C2×C3×C5×D4C2311yescharacteristic
81C22×C3×C4×C5—21no—
82C22×C3×C4×C5C2311yescharacteristic
83C2×#1220—21no—
84C2×D60C2311yescharacteristic
85C2×C5×#67—21no—
86C2×C5×D12C2311yescharacteristic
87C22×C3×Dic5—21no—
88C22×C3×Dic5—21no—
89C22×C3×Dic5—21no—
90C2×#1203—21no—
91C2×#1203—21no—
92C2×#1200—21no—
93C2×D3×Dic5—21no—
94#6717—22no—
95#6715—22no—
96#6714—21no—
97C4⋊Dic15C2311yescharacteristic
98C2×C3⋊#168C2311yescharacteristic
99C2×C3⋊#168C2311yescharacteristic
100C5×#215—22no—
101C5×#213—22no—
102C5×(C2×D3)⋊C4—21no—
103C5×C4⋊Dic3C2311yescharacteristic
104C2×C5×C3⋊C8C2311yescharacteristic
105C2×C5×C3⋊C8C2311yescharacteristic
106C3×C22⋊Dic5—21no—
107C3×C22⋊Dic5—21no—
108C3×C22⋊Dic5D411yescharacteristic
109C3×C22⋊Dic5D411yescharacteristic
110C3×C4⋊Dic5—21no—
111C3×C4⋊Dic5—21no—
112C3×C4⋊Dic5—21no—
113C3×C4⋊Dic5D411yescharacteristic
114C3×C4⋊Dic5D411yescharacteristic
115C3×C4⋊Dic5C2311yescharacteristic
116C3×C4⋊Dic5C2311yescharacteristic
117C3×C4×Dic5—21no—
118C3×C4×Dic5—21no—
119C3×C4×Dic5C2311yescharacteristic
120C3×C4×Dic5C2311yescharacteristic
121Dic3⋊Dic5—21no—
122#6669—21no—
123#6667—21no—
124(C2×D3)⋊Dic5—21no—
125C3×#520—51no—
126#5535—51no—
127#5238—51no—
128#5238D511yescharacteristic, complemented
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×C5×#41C2×D311yescharacteristic
141C2×C5×SD16—31no—
142C2×C5×D8—31no—
143C5×#121—31no—
144Q8×Dic5C2×D311yescharacteristic
145Q8×Dic5C2×D311yescharacteristic
146C2×#688—31no—
147#4086—31no—
148#4085—61no—
149#4084—61no—
150D4×Dic5—21no—
151D4×Dic5—21no—
152D4×Dic5—31no—
153D4×Dic5C2×D311yescharacteristic
154D4×Dic5C2×D311yescharacteristic
155C2×#686—31no—
156#4076—31no—
157#4072—21no—
158#4072C2×D311yescharacteristic
159C2×C4⋊Dic5—21no—
160C2×C4⋊Dic5C2×D311yescharacteristic
161#4039—31no—
162#4036—31no—
163#4032—61no—
164#4029—61no—
165C5×#103—31no—
166C5×#102—31no—
167C5×C22⋊C8—31no—
168#3967—31no—
169#3964—31no—
170#3964—31no—
171#3964—31no—
172C22⋊#168—31no—
173#3953—31no—
174#3953—31no—
175#3950—31no—
176#3950—31no—
177#3947—31no—
178#3946—31no—
179#3946—31no—
180C8×Dic5—31no—
181#3940—31no—
182#3940—31no—
183#3119—151noSylow
184C23×C3×C5—21no—
185C23×C3×C5C2×D411yescharacteristic
186C22×D15—21no—
187C22×C5×D3—21no—
188C3×C5×Q8—21no—
189C3×C5×Q8#4112yes—
190C3×C5×D4—24no—
191C3×C5×D4—21no—
192C3×C5×D4#4112yes—
193C2×C3×C4×C5—24no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199#1220—81no—
200C2×Dic15—21no—
201D60—21no—
202D60—21no—
203C5×#67—81no—
204C2×C5×Dic3—21no—
205C5×D12—21no—
206C5×D12—21no—
207C2×C3×Dic5—21no—
208C2×C3×Dic5—21no—
209C2×C3×Dic5—81no—
210C2×C3×Dic5—81no—
211C2×C3×Dic5—81no—
212C2×C3×Dic5C2×D411yescharacteristic
213C2×C3×Dic5C2×D411yescharacteristic
214C2×C3×Dic5C2×D411yescharacteristic
215C2×C3×Dic5C2×D411yescharacteristic
216#1203—81no—
217#1203—81no—
218#1200—81no—
219D3×Dic5—81no—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C5×C3⋊C8—21no—
223C5×C3⋊C8—21no—
224C2×C3×#41C2×D511yescharacteristic
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—51no—
232C3×#117—101no—
233C2×C3×C4⋊C4—51no—
234C2×C3×C4⋊C4—101no—
235C2×#215—51no—
236C2×#215C2×D511yescharacteristic
237C2×#213—51no—
238C2×#213C2×D511yescharacteristic
239#930—51no—
240#930C2×D511yescharacteristic
241#894—101no—
242#894—101no—
243#884—101no—
244#884—101no—
245#874—51no—
246C4×D12—51no—
247C4×D12—51no—
248#870—51no—
249#835—51no—
250#835C2×D511yescharacteristic
251#832—51no—
252#832C2×D511yescharacteristic
253#830—51no—
254#830C2×D511yescharacteristic
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—
267C5×#41—22no—
268C5×#41—22no—
269C2×C5×Q8C22×D311yescharacteristic
270C2×C5×D4—21no—
271C2×C5×D4—31no—
272C2×C5×D4—61no—
273C2×C5×D4C22×D311yescharacteristic
274C22×C4×C5—21no—
275C22×C4×C5C22×D311yescharacteristic
276C2×C22⋊D5—61no—
277C2×C22⋊D5—61no—
278C2×C22⋊D5—61no—
279C22×Dic5—21no—
280C22×Dic5—21no—
281C22×Dic5—21no—
282C22×Dic5—61no—
283C2×D20—31no—
284C2×C4×D5—61no—
285C5×SD16—62no—
286C5×D8—62no—
287C2×C5×C8—31no—
288C2×C5×C8—31no—
289C5×C4⋊C4—31no—
290C5×C22⋊C4—61no—
291C22⋊Dic5—21no—
292C22⋊Dic5—21no—
293C22⋊Dic5—61no—
294C22⋊Dic5#6711yescharacteristic
295C22⋊Dic5#6711yescharacteristic
296#688—62no—
297#686—62no—
298#685—61no—
299#685—61no—
300C4⋊Dic5—21no—
301C4⋊Dic5—21no—
302C4⋊Dic5—21no—
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—21no—
312C4×Dic5C22×D311yescharacteristic
313C4×Dic5C22×D311yescharacteristic
314C2×#168—31no—
315C2×#168—31no—
316#540—151no—
317#520—51no—
318#481—151no—
319#480—151no—
320#479—151no—
321#478—151no—
322#460—151no—
323#459—151no—
324#449—31no—
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—22no—
333C22×C3×C5—21no—
334C22×C3×C5—21no—
335C22×C3×C5—41no—
336C22×C3×C5—41no—
337C22×C3×C5C22×D411yescharacteristic
338C2×D15—41no—
339C2×D15—41no—
340C2×D15—41no—
341C2×C5×D3—41no—
342C2×C5×D3—41no—
343C2×C5×D3—41no—
344C3×C4×C5—21no—
345C3×C4×C5—22no—
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—
356C3×#41—22no—
357C3×#41—22no—
358C2×C3×Q8C22×D511yescharacteristic
359C2×C3×D4—21no—
360C2×C3×D4C22×D511yescharacteristic
361C22×C3×C4—21no—
362C22×C3×C4—101no—
363C22×C3×C4—101no—
364C22×C3×C4—101no—
365C22×C3×C4C22×D511yescharacteristic
366C2×#67—21no—
367C2×#67—101no—
368C2×D12—51no—
369C2×D12—101no—
370C2×D12—101no—
371C2×D12C22×D511yescharacteristic
372C2×C4×D3—101no—
373C2×C4×D3—101no—
374C3×C4⋊C4—51no—
375C3×C4⋊C4—51no—
376C3×C4⋊C4—51no—
377C3×C4⋊C4—51no—
378C3×C4⋊C4—101no—
379C3×C4⋊C4—101no—
380C3×C4⋊C4—101no—
381C3×C22⋊C4—51no—
382C3×C22⋊C4—51no—
383C3×C22⋊C4—101no—
384C3×C22⋊C4—101no—
385C3×C42—51no—
386C3×C42—51no—
387C3×C42—101no—
388C3×C42—101no—
389#215—22no—
390#215—102no—
391#213—22no—
392#213—102no—
393(C2×D3)⋊C4—21no—
394(C2×D3)⋊C4—101no—
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397C4⋊Dic3—51no—
398C4⋊Dic3C22×D511yescharacteristic
399Dic3⋊C4—101no—
400Dic3⋊C4—101no—
401C2×C3⋊C8—51no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8C22×D511yescharacteristic
404C2×C3⋊C8C22×D511yescharacteristic
405C23×C5—21no—
406C23×C5—61no—
407C23×C5C2×#6711yescharacteristic
408C22×D5—61no—
409C5×Q8—21no—
410C5×Q8#23512yes—
411C5×D4—24no—
412C5×D4—21no—
413C5×D4—61no—
414C5×D4—61no—
415C5×D4—241no—
416C5×D4#23512yes—
417C2×C4×C5—24no—
418C2×C4×C5—21no—
419C2×C4×C5—21no—
420C2×C4×C5—21no—
421C2×C4×C5—61no—
422C2×C4×C5C2×#6711yescharacteristic
423C2×C4×C5C23×D311yescharacteristic
424C22⋊D5—241no—
425C22⋊D5—241no—
426C22⋊D5—241no—
427C2×Dic5—21no—
428C2×Dic5—21no—
429C2×Dic5—61no—
430C2×Dic5—81no—
431C2×Dic5—81no—
432C2×Dic5—81no—
433C2×Dic5—241no—
434C2×Dic5C2×#6711yescharacteristic
435C2×Dic5C2×#6711yescharacteristic
436C2×Dic5C2×#6711yescharacteristic
437C2×Dic5C2×#6711yescharacteristic
438D20—61no—
439D20—61no—
440C4×D5—241no—
441C5×C8—61no—
442C5×C8—61no—
443#168—61no—
444#168—61no—
445C2×#41D3×D511yescharacteristic
446C2×SD16—31no—
447C2×SD16—151no—
448C2×D8—31no—
449C2×D8—151no—
450#127—151no—
451#125—151no—
452#123—301no—
453#123—301no—
454#121—31no—
455#121—151no—
456#121—301no—
457#121—301no—
458C4×Q8—51no—
459C4×Q8—51no—
460C4×D4—51no—
461C4×D4—51no—
462C4×D4—101no—
463C4×D4—101no—
464C4×D4—151no—
465C4×D4—151no—
466#117—51no—
467#117—101no—
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—31no—
477#103—151no—
478#102—31no—
479#102—151no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102—151no—
484C22⋊C8—31no—
485C22⋊C8—151no—
486#97—151no—
487C4×C8—151no—
488C2×C3×C5—41no—
489C2×C3×C5—42no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493D15—81no—
494C5×D3—81no—
495C23×C3—21no—
496C23×C3D4×D511yescharacteristic
497C22×D3—21no—
498C22×D3—101no—
499C3×Q8—21no—
500C3×Q8#71112yes—
501C3×D4—24no—
502C3×D4—21no—
503C3×D4#71112yes—
504C2×C3×C4—24no—
505C2×C3×C4—21no—
506C2×C3×C4—21no—
507C2×C3×C4—21no—
508C2×C3×C4—51no—
509C2×C3×C4—51no—
510C2×C3×C4—51no—
511C2×C3×C4—51no—
512C2×C3×C4—101no—
513C2×C3×C4—101no—
514C2×C3×C4—401no—
515C2×C3×C4—401no—
516C2×C3×C4—401no—
517C2×C3×C4D4×D511yescharacteristic
518C2×C3×C4C23×D511yescharacteristic
519#67—81no—
520#67—401no—
521C2×Dic3—21no—
522C2×Dic3—101no—
523D12—21no—
524D12—21no—
525D12—101no—
526D12—101no—
527D12—401no—
528D12—401no—
529C4×D3—401no—
530C4×D3—401no—
531C3⋊C8—21no—
532C3⋊C8—21no—
533C3⋊C8—101no—
534C3⋊C8—101no—
535C22×C5—21no—
536C22×C5—22no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5—41no—
540C22×C5—41no—
541C22×C5—121no—
542C22×C5—121no—
543C22×C5—121no—
544C22×C5C22×#6711yescharacteristic
545C2×D5—121no—
546C2×D5—121no—
547C2×D5—121no—
548C4×C5—21no—
549C4×C5—22no—
550C4×C5—121no—
551C4×C5C2×#23511yescharacteristic
552C4×C5C2×#23511yescharacteristic
553Dic5—21no—
554Dic5—21no—
555Dic5—21no—
556Dic5—21no—
557Dic5—41no—
558Dic5—41no—
559Dic5—121no—
560#41—22no—
561#41—22no—
562C2×Q8C2×D3×D511yescharacteristic
563C2×D4—21no—
564C2×D4—31no—
565C2×D4—61no—
566C2×D4—151no—
567C2×D4—301no—
568C2×D4—301no—
569C2×D4—301no—
570C2×D4C2×D3×D511yescharacteristic
571C22×C4—21no—
572C22×C4—101no—
573C22×C4—101no—
574C22×C4—101no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4C2×D3×D511yescharacteristic
578SD16—62no—
579SD16—302no—
580D8—62no—
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—101no—
592C4⋊C4—101no—
593C4⋊C4—101no—
594C4⋊C4—151no—
595C4⋊C4—301no—
596C4⋊C4—301no—
597C22⋊C4—51no—
598C22⋊C4—51no—
599C22⋊C4—61no—
600C22⋊C4—101no—
601C22⋊C4—101no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C42—51no—
606C42—51no—
607C42—101no—
608C42—101no—
609C3×C5#311911yescharacteristic, complemented, Hall
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—21no—
613C22×C3—22no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3C2×D4×D511yescharacteristic
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—201no—
621C2×D3—201no—
622C2×D3—201no—
623C3×C4—21no—
624C3×C4—22no—
625C3×C4—101no—
626C3×C4—101no—
627C3×C4—101no—
628C3×C4—101no—
629C3×C4—201no—
630C3×C4—201no—
631C3×C4C2×#71111yescharacteristic
632C3×C4C2×#71111yescharacteristic
633Dic3—41no—
634Dic3—201no—
635C2×C5—41no—
636C2×C5—42no—
637C2×C5—241no—
638C2×C5#579111yescharacteristic
639C2×C5#583511yescharacteristic
640C2×C5#583711yescharacteristic
641D5—241no—
642C23—21no—
643C23—61no—
644C23—301no—
645C23D5×#6711yescharacteristic
646Q8—21no—
647Q8#678212yes—
648D4—24no—
649D4—21no—
650D4—61no—
651D4—61no—
652D4—241no—
653D4—301no—
654D4—301no—
655D4—1201no—
656D4—1201no—
657D4—1201no—
658D4#678212yes—
659C2×C4—24no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—51no—
664C2×C4—51no—
665C2×C4—51no—
666C2×C4—51no—
667C2×C4—61no—
668C2×C4—101no—
669C2×C4—101no—
670C2×C4—301no—
671C2×C4—401no—
672C2×C4—401no—
673C2×C4—401no—
674C2×C4—1201no—
675C2×C4—1201no—
676C2×C4D5×#6711yescharacteristic
677C2×C4C22×D3×D511yescharacteristic
678C8—61no—
679C8—61no—
680C8—301no—
681C8—301no—
682C2×C3—41no—
683C2×C3—42no—
684C2×C3#6592011yescharacteristic
685C2×C3#6610311yescharacteristic
686C2×C3#6610911yescharacteristic
687D3—81no—
688D3—401no—
689C5#8256811yescharacteristic, complemented, Sylow
690C22—21no—
691C22—21no—
692C22—21no—
693C22—22no—
694C22—41no—
695C22—41no—
696C22—121no—
697C22—121no—
698C22—121no—
699C22—601no—
700C22—601no—
701C22—601no—
702C22C2×D5×#6711yescharacteristic
703C4—21no—
704C4—22no—
705C4—101no—
706C4—101no—
707C4—101no—
708C4—101no—
709C4—121no—
710C4—201no—
711C4—201no—
712C4—601no—
713C4C2×#678211yescharacteristic
714C4C2×#678211yescharacteristic
715C3#1061180311yescharacteristic, complemented, Sylow
716C2—41no—
717C2—42no—
718C2—241no—
719C2—1201no—
720C2#1175531711yescharacteristic
721C2#1175531811yescharacteristic
722C2#1175538511yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5C22×D4
hypercenterC2×#41D3×D5
hypocenterC3×C5#3119
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C3×#66161C2semidirect
2. #11754507C2semidirect
3. #11751339C2semidirect
4. C5×#5238C2semidirect
5. #11749338C2semidirect
6. #11749329C2semidirect
7. #11749223C2semidirect
8. #11749221C2semidirect
9. #11749092C2semidirect
10. #11749086C2semidirect
11. #11748979C2semidirect
12. Dic5×#213C2semidirect
13. #11748474C2semidirect
14. #11748385C2semidirect
15. #11748319C2semidirect
61. #66161D3semidirect
128. #5238D5semidirect
609. C3×C5#3119semidirect
689. C5#82568semidirect
715. C3#10611803semidirect

Maximal subgroups

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

subgroupindex
C3×#661612
#117545072
#117513392
C5×#52382
#117493382
#117493292
#117492232
#117492212
#117490922
#117490862
#117489792
Dic5×#2132
#117484742
#117483852
#117483192
#106118033
#825685