Finite Group Databasebeta

← #14484770

Subgroups — #14484770

Order 1920.

2224 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×C5×#548C211yesmaximal, characteristic, complemented
2#11756593C211yesmaximal, characteristic, complemented
3#41×Dic15C211yesmaximal, characteristic, complemented
4#11756576C211yesmaximal, characteristic, complemented
5C2×Q8×Dic15C211yesmaximal, characteristic, complemented
6#11756440C213yesmaximal, complemented
7#11756439C213yesmaximal, complemented
8#11756400C213yesmaximal, complemented
9#11756383C213yesmaximal, complemented
10#11756377C213yesmaximal, complemented
11#11756355C213yesmaximal, complemented
12C4×#6821C211yesmaximal, characteristic, complemented
13#11756328C211yesmaximal, characteristic, complemented
14#11756324C213yesmaximal, complemented
15C4×#6819C213yesmaximal, complemented
16#10618612—31nomaximal, Hall
17C2×C3×C5×#41C2211yescharacteristic
18C22×C3×C5×Q8C2211yescharacteristic
19C2×#6821C2211yescharacteristic
20C2×#6819C2213yes—
21C3×C5×#124C2213yes—
22C3×C5×C22⋊Q8C2213yes—
23C3×C5×#121C2213yes—
24C3×C4×C5×Q8C2211yescharacteristic
25C3×C4×C5×D4C2213yes—
26#91836C2213yes—
27#91835C2213yes—
28Q8×Dic15C2211yescharacteristic
29Q8×Dic15C2211yescharacteristic
30Q8×Dic15C2213yes—
31Q8×Dic15C2213yes—
32Q8×Dic15C2211yescharacteristic
33#91829C2213yes—
34#91828C2216yes—
35#91827C2213yes—
36D4×Dic15C2213yes—
37D4×Dic15C2213yes—
38D4×Dic15C2213yes—
39#91819C2213yes—
40#91819C2213yes—
41C4×#1220C2213yes—
42C4×#1220C2213yes—
43#91815C2213yes—
44C2×C4⋊Dic15C2213yes—
45C2×C4×Dic15C2213yes—
46C2×C4×Dic15C2213yes—
47#91787C2216yes—
48#91782C2213yes—
49#91781C2213yes—
50#91781C2213yes—
51#91779C2213yes—
52#91777C2213yes—
53#91776C2213yes—
54#91775C2216yes—
55#91774C2216yes—
56#91772C2216yes—
57#91770C2213yes—
58#91770C2213yes—
59#91770C2216yes—
60#91768C2216yes—
61#91766C2211yescharacteristic
62#91766C2213yes—
63C4×D60C2213yes—
64C42×D15C2213yes—
65#91759C2213yes—
66C4×Dic30C2213yes—
67#86711—51nomaximal, Hall
68C5×#548D311yescharacteristic, complemented
69#66168—31no—
70#41×Dic5—31no—
71#66151—31no—
72C2×Q8×Dic5—31no—
73#66015—33no—
74#66014—33no—
75#65975—33no—
76#65958—33no—
77#65952—33no—
78#65930—33no—
79C4×#713—31no—
80#65903—31no—
81#65899—33no—
82C4×#711—33no—
83C3×C5×#41—24no—
84C2×C3×C5×Q8—24no—
85C2×C3×C5×Q8C2313yes—
86C2×C3×C5×Q8C2311yescharacteristic
87C2×C3×C5×D4C2313yes—
88C2×C3×C5×D4C2313yes—
89C22×C3×C4×C5C2313yes—
90C22×C3×C4×C5C2313yes—
91C2×#1220C2313yes—
92C2×#1220C2313yes—
93C2×#1220C2316yes—
94C22×Dic15C2313yes—
95C22×Dic15C2313yes—
96C22×Dic15C2313yes—
97C22×Dic15C2311yescharacteristic
98#6821—24no—
99#6819—212no—
100C2×D60C2313yes—
101C2×C4×D15C2313yes—
102C2×C4×D15C2313yes—
103C2×C4×D15C2313yes—
104C2×Dic30C2313yes—
105C3×C5×C4⋊C4C2313yes—
106C3×C5×C4⋊C4C2313yes—
107C3×C5×C22⋊C4C2311yescharacteristic
108C3×C5×C22⋊C4C2313yes—
109C3×C5×C22⋊C4C2316yes—
110C3×C42×C5C2313yes—
111#6719C2313yes—
112#6719C2311yescharacteristic
113#6719C2316yes—
114#6714C2316yes—
115#6714C2316yes—
116#6714C2313yes—
117#6714C2313yes—
118C4⋊Dic15C2313yes—
119C4⋊Dic15C2313yes—
120C4⋊Dic15C2313yes—
121C4⋊Dic15C2313yes—
122C4⋊Dic15C2316yes—
123#6712C2311yescharacteristic
124#6712C2313yes—
125#6712C2316yes—
126#6712C2313yes—
127#6712C2311yescharacteristic
128C4×Dic15C2313yes—
129C4×Dic15C2313yes—
130C4×Dic15C2311yescharacteristic
131C4×Dic15C2313yes—
132C4×Dic15C2313yes—
133C4×Dic15C2313yes—
134C4×Dic15C2311yescharacteristic
135C4×Dic15C2313yes—
136C4×Dic15C2313yes—
137C3×#548D511yescharacteristic, complemented
138#5834—51no—
139Dic3×#41—51no—
140#5817—51no—
141C2×Q8×Dic3—51no—
142#5681—53no—
143#5680—53no—
144#5641—53no—
145#5624—53no—
146#5618—53no—
147#5596—53no—
148C4×#239—51no—
149#5569—51no—
150#5565—53no—
151C4×#237—53no—
152C2×C5×#41C2×D311yescharacteristic
153C22×C5×Q8C2×D311yescharacteristic
154C2×#713—31no—
155C2×#711—33no—
156C5×#124C2×D313yes—
157C5×C22⋊Q8C2×D313yes—
158C5×#121C2×D313yes—
159C4×C5×Q8C2×D311yescharacteristic
160C4×C5×D4C2×D313yes—
161#4093—33no—
162#4092—33no—
163Q8×Dic5—31no—
164Q8×Dic5—31no—
165Q8×Dic5—33no—
166Q8×Dic5—33no—
167Q8×Dic5—31no—
168#4086—33no—
169#4085—36no—
170#4084—33no—
171D4×Dic5—33no—
172D4×Dic5—33no—
173D4×Dic5—33no—
174#4076—33no—
175#4076—33no—
176C4×C22⋊D5—33no—
177C4×C22⋊D5—33no—
178#4072—33no—
179C2×C4⋊Dic5—33no—
180C2×C4×Dic5—33no—
181C2×C4×Dic5—33no—
182#4044—36no—
183#4039—33no—
184#4038—33no—
185#4038—33no—
186#4036—33no—
187#4034—33no—
188#4033—33no—
189#4032—36no—
190#4031—36no—
191#4029—36no—
192#4027—33no—
193#4027—33no—
194#4027—36no—
195#4025—36no—
196#4023—31no—
197#4023—33no—
198C4×D20—33no—
199C42×D5—33no—
200#4016—33no—
201C4×Dic10—33no—
202#3480—151noSylow
203C23×C3×C5C2413yes—
204C23×C3×C5C2411yescharacteristic
205C22×D15C2413yes—
206C3×C5×Q8—26no—
207C3×C5×Q8#4114yescomplemented
208C3×C5×D4—26no—
209C3×C5×D4—26no—
210C2×C3×C4×C5—26no—
211C2×C3×C4×C5—26no—
212C2×C3×C4×C5C2411yescharacteristic
213C2×C3×C4×C5C2413yes—
214C2×C3×C4×C5C2411yescharacteristic
215C2×C3×C4×C5C2413yes—
216C2×C3×C4×C5C2413yes—
217#1220—26no—
218#1220—26no—
219#1220—46no—
220C2×Dic15—26no—
221C2×Dic15—43no—
222C2×Dic15—43no—
223C2×Dic15#4114yescomplemented
224C2×Dic15C2411yescharacteristic
225C2×Dic15C2411yescharacteristic
226C2×Dic15C2413yes—
227C2×Dic15C2413yes—
228C2×Dic15C2413yes—
229C2×Dic15C2411yescharacteristic
230C2×Dic15C2411yescharacteristic
231D60—26no—
232C4×D15—26no—
233C4×D15—26no—
234C4×D15—43no—
235Dic30—26no—
236C2×C3×#41C2×D511yescharacteristic
237C22×C3×Q8C2×D511yescharacteristic
238C2×#239—51no—
239C2×#237—53no—
240C3×#124C2×D513yes—
241C3×C22⋊Q8C2×D513yes—
242C3×#121C2×D513yes—
243C3×C4×Q8C2×D511yescharacteristic
244C3×C4×D4C2×D513yes—
245#947—53no—
246#946—53no—
247Q8×Dic3—53no—
248Q8×Dic3—53no—
249Q8×Dic3—51no—
250Q8×Dic3—51no—
251Q8×Dic3—51no—
252#940—53no—
253#939—56no—
254#938—53no—
255D4×Dic3—53no—
256D4×Dic3—53no—
257D4×Dic3—53no—
258#930—53no—
259#930—53no—
260C4×#67—53no—
261C4×#67—53no—
262#926—53no—
263C2×C4⋊Dic3—53no—
264C2×C4×Dic3—53no—
265C2×C4×Dic3—53no—
266#898—56no—
267#893—53no—
268#892—53no—
269#892—53no—
270#890—53no—
271#888—53no—
272#887—53no—
273#886—56no—
274#885—56no—
275#883—56no—
276#67⋊C4—56no—
277#67⋊C4—53no—
278#67⋊C4—53no—
279#879—56no—
280#877—53no—
281#877—51no—
282C4×D12—53no—
283C42×D3—53no—
284#870—53no—
285C4×Dic6—53no—
286C5×#41—24no—
287C2×C5×Q8—24no—
288C2×C5×Q8C22×D313yes—
289C2×C5×Q8C22×D311yescharacteristic
290C2×C5×D4C22×D313yes—
291C2×C5×D4C22×D313yes—
292C22×C4×C5C22×D313yes—
293C22×C4×C5C22×D313yes—
294C2×C22⋊D5—33no—
295C2×C22⋊D5—33no—
296C2×C22⋊D5—36no—
297C22×Dic5—31no—
298C22×Dic5—33no—
299C22×Dic5—33no—
300C22×Dic5—33no—
301#713—64no—
302#711—612no—
303C2×D20—33no—
304C2×C4×D5—33no—
305C2×C4×D5—33no—
306C2×C4×D5—33no—
307C2×Dic10—33no—
308C5×C4⋊C4C22×D313yes—
309C5×C4⋊C4C22×D313yes—
310C5×C22⋊C4C22×D311yescharacteristic
311C5×C22⋊C4C22×D313yes—
312C5×C22⋊C4C22×D316yes—
313C42×C5C22×D313yes—
314C22⋊Dic5—33no—
315C22⋊Dic5—31no—
316C22⋊Dic5—36no—
317#685—36no—
318#685—36no—
319#685—33no—
320#685—33no—
321C4⋊Dic5—33no—
322C4⋊Dic5—33no—
323C4⋊Dic5—33no—
324C4⋊Dic5—33no—
325C4⋊Dic5—36no—
326#683—31no—
327#683—33no—
328#683—36no—
329#683—33no—
330#683—31no—
331C4×Dic5—33no—
332C4×Dic5—33no—
333C4×Dic5—31no—
334C4×Dic5—33no—
335C4×Dic5—33no—
336C4×Dic5—33no—
337C4×Dic5—31no—
338C4×Dic5—33no—
339C4×Dic5—33no—
340#559—153no—
341#557—151no—
342#556—153no—
343#553—153no—
344#553—153no—
345#550—151no—
346#548—151no—
347#548D1511yescharacteristic, complemented
348#532—153no—
349#529—153no—
350#529—153no—
351C4×#41—151no—
352C4×#41—151no—
353C4×#41—153no—
354C2×C4×Q8—151no—
355C22×C3×C5—21no—
356C22×C3×C5—21no—
357C22×C3×C5—23no—
358C22×C3×C5—23no—
359C22×C3×C5—23no—
360C22×C3×C5C2×#4112yes—
361C22×C3×C5C2511yescharacteristic
362C2×D15—23no—
363C2×D15—23no—
364C2×D15—23no—
365C3×C4×C5—23no—
366C3×C4×C5—21no—
367C3×C4×C5—23no—
368C3×C4×C5—21no—
369C3×C4×C5C2×#4116yes—
370Dic15—23no—
371Dic15—21no—
372Dic15—23no—
373Dic15—21no—
374Dic15—23no—
375Dic15C2×#4112yes—
376Dic15C2×#4112yes—
377C3×#41—24no—
378C2×C3×Q8—24no—
379C2×C3×Q8C22×D513yes—
380C2×C3×Q8C22×D511yescharacteristic
381C2×C3×D4C22×D513yes—
382C2×C3×D4C22×D513yes—
383C22×C3×C4C22×D513yes—
384C22×C3×C4C22×D513yes—
385C2×#67—53no—
386C2×#67—53no—
387C2×#67—56no—
388C22×Dic3—51no—
389C22×Dic3—53no—
390C22×Dic3—53no—
391C22×Dic3—53no—
392#239—104no—
393#237—1012no—
394C2×D12—53no—
395C2×C4×D3—53no—
396C2×C4×D3—53no—
397C2×C4×D3—53no—
398C2×Dic6—53no—
399C3×C4⋊C4C22×D513yes—
400C3×C4⋊C4C22×D513yes—
401C3×C22⋊C4C22×D511yescharacteristic
402C3×C22⋊C4C22×D513yes—
403C3×C22⋊C4C22×D516yes—
404C3×C42C22×D513yes—
405#217—53no—
406#217—51no—
407#217—56no—
408(C2×D3)⋊C4—56no—
409(C2×D3)⋊C4—56no—
410(C2×D3)⋊C4—53no—
411(C2×D3)⋊C4—53no—
412C4⋊Dic3—53no—
413C4⋊Dic3—53no—
414C4⋊Dic3—53no—
415C4⋊Dic3—53no—
416C4⋊Dic3—56no—
417Dic3⋊C4—51no—
418Dic3⋊C4—53no—
419Dic3⋊C4—56no—
420Dic3⋊C4—53no—
421Dic3⋊C4—51no—
422C4×Dic3—53no—
423C4×Dic3—53no—
424C4×Dic3—51no—
425C4×Dic3—53no—
426C4×Dic3—53no—
427C4×Dic3—53no—
428C4×Dic3—51no—
429C4×Dic3—53no—
430C4×Dic3—53no—
431C23×C5C23×D313yes—
432C23×C5C23×D311yescharacteristic
433C22×D5—33no—
434C5×Q8—26no—
435C5×Q8#23714yescomplemented
436C5×D4—26no—
437C5×D4—26no—
438C2×C4×C5—26no—
439C2×C4×C5—26no—
440C2×C4×C5C23×D311yescharacteristic
441C2×C4×C5C23×D313yes—
442C2×C4×C5C23×D311yescharacteristic
443C2×C4×C5C23×D313yes—
444C2×C4×C5C23×D313yes—
445C22⋊D5—66no—
446C22⋊D5—66no—
447C22⋊D5—126no—
448C2×Dic5—34no—
449C2×Dic5—31no—
450C2×Dic5—31no—
451C2×Dic5—31no—
452C2×Dic5—31no—
453C2×Dic5—33no—
454C2×Dic5—33no—
455C2×Dic5—33no—
456C2×Dic5—66no—
457C2×Dic5—123no—
458C2×Dic5—123no—
459D20—66no—
460C4×D5—66no—
461C4×D5—66no—
462C4×D5—123no—
463Dic10—66no—
464C2×#41—151no—
465C2×#41—153no—
466C2×#41C2×D1511yescharacteristic
467C22×Q8C2×D1511yescharacteristic
468C4⋊Q8—153no—
469#127—153no—
470#126—156no—
471#126—156no—
472#125—153no—
473#125—153no—
474#124—153no—
475#124—156no—
476#124C2×D1513yes—
477#123—156no—
478#123—156no—
479C22⋊Q8—153no—
480C22⋊Q8C2×D1513yes—
481#121—153no—
482#121—156no—
483#121—153no—
484#121—153no—
485#121C2×D1513yes—
486C4×Q8—151no—
487C4×Q8—153no—
488C4×Q8—151no—
489C4×Q8—153no—
490C4×Q8—151no—
491C4×Q8—153no—
492C4×Q8—153no—
493C4×Q8C2×D1511yescharacteristic
494C4×D4—153no—
495C4×D4—153no—
496C4×D4—153no—
497C4×D4—153no—
498C4×D4—153no—
499C4×D4—153no—
500C4×D4—153no—
501C4×D4—153no—
502C4×D4—156no—
503C4×D4—153no—
504C4×D4C2×D1513yes—
505#117—153no—
506#117—153no—
507#117—153no—
508#117—151no—
509#117—153no—
510C2×C4⋊C4—153no—
511C2×C42—153no—
512C2×C42—153no—
513C2×C42—153no—
514C2×C3×C5—22no—
515C2×C3×C5—43no—
516C2×C3×C5C22×#4111yescharacteristic
517C2×C3×C5C22×#4111yescharacteristic
518C2×C3×C5#58511yescharacteristic
519D15—43no—
520C23×C3C23×D513yes—
521C23×C3C23×D511yescharacteristic
522C22×D3—53no—
523C3×Q8—26no—
524C3×Q8#71114yescomplemented
525C3×D4—26no—
526C3×D4—26no—
527C2×C3×C4—26no—
528C2×C3×C4—26no—
529C2×C3×C4C23×D511yescharacteristic
530C2×C3×C4C23×D513yes—
531C2×C3×C4C23×D511yescharacteristic
532C2×C3×C4C23×D513yes—
533C2×C3×C4C23×D513yes—
534#67—106no—
535#67—106no—
536#67—206no—
537C2×Dic3—54no—
538C2×Dic3—51no—
539C2×Dic3—51no—
540C2×Dic3—51no—
541C2×Dic3—51no—
542C2×Dic3—53no—
543C2×Dic3—53no—
544C2×Dic3—53no—
545C2×Dic3—106no—
546C2×Dic3—203no—
547C2×Dic3—203no—
548D12—106no—
549C4×D3—106no—
550C4×D3—106no—
551C4×D3—203no—
552Dic6—106no—
553C22×C5—21no—
554C22×C5—21no—
555C22×C5—23no—
556C22×C5—23no—
557C22×C5—23no—
558C22×C5D3×#4112yes—
559C22×C5C24×D311yescharacteristic
560C2×D5—63no—
561C2×D5—63no—
562C2×D5—63no—
563C4×C5—21no—
564C4×C5—23no—
565C4×C5—23no—
566C4×C5—21no—
567C4×C5C2×#23716yes—
568Dic5—32no—
569Dic5—32no—
570Dic5—61no—
571Dic5—63no—
572Dic5—63no—
573Dic5—61no—
574Dic5—63no—
575#41—24no—
576#41—3012no—
577#41—304no—
578C2×Q8—24no—
579C2×Q8—153no—
580C2×Q8C22×D1513yes—
581C2×Q8C22×D1511yescharacteristic
582C2×D4—153no—
583C2×D4—153no—
584C2×D4—156no—
585C2×D4—153no—
586C2×D4C22×D1513yes—
587C2×D4C22×D1513yes—
588C22×C4—151no—
589C22×C4—153no—
590C22×C4—153no—
591C22×C4—153no—
592C22×C4—153no—
593C22×C4—153no—
594C22×C4—153no—
595C22×C4C22×D1513yes—
596C22×C4C22×D1513yes—
597C4⋊C4—153no—
598C4⋊C4—153no—
599C4⋊C4—156no—
600C4⋊C4—151no—
601C4⋊C4—151no—
602C4⋊C4—153no—
603C4⋊C4—153no—
604C4⋊C4—153no—
605C4⋊C4—153no—
606C4⋊C4—156no—
607C4⋊C4C22×D1513yes—
608C4⋊C4C22×D1513yes—
609C22⋊C4—151no—
610C22⋊C4—153no—
611C22⋊C4—156no—
612C22⋊C4—153no—
613C22⋊C4—156no—
614C22⋊C4—153no—
615C22⋊C4—156no—
616C22⋊C4C22×D1511yescharacteristic
617C22⋊C4C22×D1513yes—
618C22⋊C4C22×D1516yes—
619C42—151no—
620C42—151no—
621C42—153no—
622C42—153no—
623C42—153no—
624C42—153no—
625C42—153no—
626C42—153no—
627C42—153no—
628C42C22×D1513yes—
629C3×C5#348011yescharacteristic, complemented, Hall
630C22×C3—21no—
631C22×C3—21no—
632C22×C3—23no—
633C22×C3—23no—
634C22×C3—23no—
635C22×C3D5×#4112yes—
636C22×C3C24×D511yescharacteristic
637C2×D3—103no—
638C2×D3—103no—
639C2×D3—103no—
640C3×C4—21no—
641C3×C4—23no—
642C3×C4—23no—
643C3×C4—21no—
644C3×C4C2×#71116yes—
645Dic3—52no—
646Dic3—52no—
647Dic3—101no—
648Dic3—103no—
649Dic3—103no—
650Dic3—101no—
651Dic3—103no—
652C2×C5—22no—
653C2×C5—43no—
654C2×C5C22×#23711yescharacteristic
655C2×C5C2×D3×#4111yescharacteristic
656C2×C5#596811yescharacteristic
657D5—123no—
658C23—153no—
659C23C23×D1513yes—
660C23C23×D1511yescharacteristic
661Q8—26no—
662Q8—306no—
663Q8#681914yescomplemented
664D4—26no—
665D4—26no—
666D4—306no—
667D4—306no—
668D4—306no—
669D4—606no—
670C2×C4—26no—
671C2×C4—26no—
672C2×C4—154no—
673C2×C4—151no—
674C2×C4—151no—
675C2×C4—151no—
676C2×C4—151no—
677C2×C4—153no—
678C2×C4—153no—
679C2×C4—153no—
680C2×C4—306no—
681C2×C4—306no—
682C2×C4—306no—
683C2×C4—603no—
684C2×C4—603no—
685C2×C4—603no—
686C2×C4C23×D1511yescharacteristic
687C2×C4C23×D1513yes—
688C2×C4C23×D1511yescharacteristic
689C2×C4C23×D1513yes—
690C2×C4C23×D1513yes—
691C2×C3—22no—
692C2×C3—43no—
693C2×C3C22×#71111yescharacteristic
694C2×C3C2×D5×#4111yescharacteristic
695C2×C3#6628711yescharacteristic
696D3—203no—
697C5#8671111yescharacteristic, complemented, Sylow
698C22—21no—
699C22—21no—
700C22—23no—
701C22—23no—
702C22—23no—
703C22—303no—
704C22—303no—
705C22—303no—
706C22#41×D1512yes—
707C22C24×D1511yescharacteristic
708C4—21no—
709C4—23no—
710C4—23no—
711C4—21no—
712C4—152no—
713C4—152no—
714C4—301no—
715C4—303no—
716C4—303no—
717C4—301no—
718C4—303no—
719C4C2×#681916yes—
720C3#1061861211yescharacteristic, complemented, Sylow
721C2—22no—
722C2—43no—
723C2—603no—
724C2C22×#681911yescharacteristic
725C2C2×#41×D1511yescharacteristic
726C2#1175715011yescharacteristic
subgroupG/H
center, FrattiniC22C24×D15
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#548C2
hypercenter#548D15
hypocenterC3×C5#3480
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #548

Complements

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

NH ≅ G/Ntype
1. C3×C5×#548C2semidirect
2. #11756593C2semidirect
3. #41×Dic15C2semidirect
4. #11756576C2semidirect
5. C2×Q8×Dic15C2semidirect
6. #11756440C2semidirect
7. #11756439C2semidirect
8. #11756400C2semidirect
9. #11756383C2semidirect
10. #11756377C2semidirect
11. #11756355C2semidirect
12. C4×#6821C2semidirect
13. #11756328C2semidirect
14. #11756324C2semidirect
15. C4×#6819C2semidirect
68. C5×#548D3semidirect
137. C3×#548D5semidirect
207. C3×C5×Q8#41semidirect
223. C2×Dic15#41semidirect
347. #548D15semidirect
435. C5×Q8#237semidirect
524. C3×Q8#711semidirect
629. C3×C5#3480semidirect
663. Q8#6819semidirect
697. C5#86711semidirect
720. C3#10618612semidirect

Maximal subgroups

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

subgroupindex
C3×C5×#5482
#117565932
#41×Dic152
#117565762
C2×Q8×Dic152
#117564402
#117564392
#117564002
#117563832
#117563772
#117563552
C4×#68212
#117563282
#117563242
C4×#68192
#106186123
#867115