Finite Group Databasebeta

← D3×#65928 #14495262

Subgroups — D3×#65928 #14495262

Order 1920.

2816 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756353C211yesmaximal, characteristic, complemented
2C5×D3×#120C211yesmaximal, characteristic, complemented
3C3×#65928C211yesmaximal, characteristic, complemented
4#11755443C212yesmaximal, complemented
5D3×#4099C212yesmaximal, complemented
6D3×#4083C213yesmaximal, complemented
7#11755003C213yesmaximal, complemented
8#11754983C213yesmaximal, complemented
9D3×#4082C213yesmaximal, complemented
10#11753300C216yesmaximal, complemented
11D3×#4031C216yesmaximal, complemented
12C2×#65928—31nomaximal, Hall
13C24×C5×D3C2211yescharacteristic, complemented
14C23×D3×D5C2211yescharacteristic, complemented
15C2×C5×D3×D4C2213yes—
16C2×D3×C22⋊D5C2216yes—
17C2×D3×Dic10C2213yescomplemented
18C3×C5×#120C2211yescharacteristic, complemented
19#91842C2212yescomplemented
20#91826C2213yescomplemented
21#91825C2213yescomplemented
22#91774C2216yescomplemented
23C5×#953C2211yescharacteristic, complemented
24C5×#937C2213yescomplemented
25C5×#882C2213yescomplemented
26C5×D3×C22⋊C4C2213yescomplemented
27C3×#4099C2212yescomplemented
28C3×#4083C2213yescomplemented
29C3×#4082C2213yescomplemented
30C3×#4031C2216yescomplemented
31#91577C2216yescomplemented
32#91573C2213yescomplemented
33#91570C2216yescomplemented
34#91568C2216yescomplemented
35#91563C2213yescomplemented
36D3×C22⋊Dic5C2213yescomplemented
37D3×C22⋊Dic5C2216yescomplemented
38#91534C2216yescomplemented
39#91526C2216yescomplemented
40#91525C2216yescomplemented
41#91525C2216yescomplemented
42#91475C2216yescomplemented
43D3×#685C2216yescomplemented
44#91464C2216yescomplemented
45#91462C2216yescomplemented
46C4×D3×Dic5C2213yescomplemented
47#91373C2213yescomplemented
48#91370C2213yescomplemented
49#91350C2216yescomplemented
50#91326C2216yescomplemented
51D3×H(3,𝔽4)—51nomaximal, Hall
52C2×C5×#120—31no—
53C2×#4099—32no—
54C2×#4083—33no—
55C2×#4082—33no—
56#65928—33no—
57#65928—33no—
58#65928—36no—
59#65928—31no—
60#65928—32no—
61#65928D311yescharacteristic, direct product factor
62C2×#4031—36no—
63C24×C3×C5C2311yescharacteristic, complemented
64C23×D15C2311yescharacteristic, complemented
65C23×C5×D3—46no—
66C23×C5×D3C2313yes—
67C23×C5×D3C2311yescharacteristic
68C23×C5×D3C2313yescomplemented
69C23×C3×D5C2311yescharacteristic, complemented
70C22×D3×D5—46no—
71C22×D3×D5C2312yes—
72C22×D3×D5C2312yescomplemented
73C2×C3×C5×D4C2313yes—
74C2×#1220C2316yes—
75C2×Dic30C2313yescomplemented
76C2×C5×#67C2313yes—
77C2×C5×#67C2313yes—
78C5×D3×D4—46no—
79C2×C5×D12C2313yes—
80C2×C4×C5×D3C2313yes—
81C2×C3×C22⋊D5C2316yes—
82C2×C3×Dic10C2313yescomplemented
83D3×C22⋊D5—412no—
84C2×#1204C2316yescomplemented
85C2×#1203C2316yes—
86C2×#1201C2316yes—
87C2×D3×Dic5C2316yes—
88D3×Dic10—46no—
89C3×C5×C22⋊C4C2313yescomplemented
90#6719C2316yescomplemented
91#6719C2313yescomplemented
92#6714C2316yescomplemented
93C4×Dic15C2313yescomplemented
94C5×#217C2313yescomplemented
95C5×(C2×D3)⋊C4C2316yescomplemented
96C3×C22⋊Dic5C2313yescomplemented
97C3×C22⋊Dic5C2316yescomplemented
98C3×#685C2316yescomplemented
99C3×C4×Dic5C2313yescomplemented
100#6667C2316yescomplemented
101(C2×D3)⋊Dic5C2316yescomplemented
102(C2×D3)⋊Dic5C2316yescomplemented
103(C2×D3)⋊Dic5C2316yescomplemented
104#6665C2316yescomplemented
105Dic3×Dic5C2316yescomplemented
106C3×H(3,𝔽4)—51no—
107#5683—53no—
108#5683—56no—
109D3×#124—53no—
110D3×#124—56no—
111#5594—51no—
112#5594—52no—
113#5594—53no—
114D3×#120—52no—
115D3×#120—53no—
116D3×#120D511yescharacteristic, complemented
117C25×C5—31no—
118C24×D5—31no—
119C22×C5×D4—33no—
120C22×C22⋊D5—36no—
121C22×Dic10—33no—
122C5×#120—31no—
123C5×#120—33no—
124C5×#120—33no—
125C5×#120C2×D311yescharacteristic, complemented
126C2×C5×C22⋊C4—33no—
127#4099—32no—
128#4099—36no—
129#4099—36no—
130#4099C2×D312yescomplemented
131C2×C22⋊Dic5—36no—
132C2×C22⋊Dic5—33no—
133#4083—33no—
134#4083—33no—
135#4083—36no—
136#4083—33no—
137#4083—36no—
138#4083C2×D313yescomplemented
139#4082—33no—
140#4082—33no—
141#4082—36no—
142#4082—36no—
143#4082—33no—
144#4082C2×D313yescomplemented
145C2×#685—36no—
146C2×C4×Dic5—33no—
147#4031—36no—
148#4031—36no—
149#4031—36no—
150#4031—36no—
151#4031—36no—
152#4031—36no—
153#4031—36no—
154#4031C2×D316yescomplemented
155C2×H(3,𝔽4)—151noSylow
156C23×C3×C5—43no—
157C23×C3×C5C2411yescharacteristic
158C23×C3×C5C2413yes—
159C22×D15—43no—
160C22×D15C2412yes—
161C22×C5×D3—212no—
162C22×C5×D3—26no—
163C22×C5×D3—26no—
164C22×C5×D3—43no—
165C22×C5×D3—46no—
166C22×C5×D3—416no—
167C22×C5×D3C2411yescharacteristic
168C22×C5×D3C2413yes—
169C22×C5×D3C2411yescharacteristic
170C22×C3×D5—43no—
171C22×C3×D5C2412yes—
172C2×D3×D5—212no—
173C2×D3×D5—46no—
174C2×D3×D5—416no—
175C3×C5×D4—43no—
176C2×C3×C4×C5C2413yes—
177#1220—46no—
178C2×Dic15C2416yes—
179Dic30—43no—
180C5×#67—43no—
181C5×#67—43no—
182C2×C5×Dic3C2413yes—
183C5×D12—43no—
184C4×C5×D3—26no—
185C3×C22⋊D5—46no—
186C2×C3×Dic5C2416yes—
187C3×Dic10—43no—
188#1204—46no—
189#1203—46no—
190#1201—46no—
191D3×Dic5—212no—
192C24×D3—51no—
193C24×D3C2×D511yescharacteristic, complemented
194C2×D3×Q8—53no—
195C2×D3×D4—56no—
196C2×D3×D4C2×D513yes—
197C3×#124—53no—
198C3×#124—56no—
199C3×#120—52no—
200C3×#120—53no—
201C3×#120C2×D511yescharacteristic, complemented
202#953—52no—
203#953—53no—
204#953C2×D511yescharacteristic, complemented
205#947—53no—
206#947—56no—
207#937—56no—
208#937—53no—
209#937—56no—
210#937C2×D513yescomplemented
211#936—53no—
212#936—56no—
213#885—56no—
214#885—56no—
215#885—56no—
216#885—56no—
217#885—56no—
218#885—56no—
219#882—56no—
220#882—53no—
221#882—56no—
222#882C2×D513yescomplemented
223D3×C22⋊C4—53no—
224D3×C22⋊C4—56no—
225D3×C22⋊C4—56no—
226D3×C22⋊C4C2×D513yescomplemented
227#875—53no—
228#875—56no—
229C42×D3—53no—
230C24×C5—31no—
231C24×C5—33no—
232C24×C5—33no—
233C24×C5—126no—
234C24×C5C22×D311yescharacteristic, complemented
235C23×D5—31no—
236C23×D5—32no—
237C23×D5—32no—
238C23×D5—126no—
239C23×D5C22×D311yescharacteristic, complemented
240C2×C5×D4—33no—
241C2×C5×D4—33no—
242C2×C5×D4—33no—
243C2×C5×D4—126no—
244C2×C5×D4C22×D313yes—
245C22×C4×C5—33no—
246C2×C22⋊D5—36no—
247C2×C22⋊D5—36no—
248C2×C22⋊D5—36no—
249C2×C22⋊D5—1212no—
250C2×C22⋊D5C22×D316yes—
251C22×Dic5—36no—
252C2×Dic10—33no—
253C2×Dic10—36no—
254C2×Dic10—126no—
255C2×Dic10C22×D313yescomplemented
256C5×C22⋊C4—33no—
257C5×C22⋊C4—36no—
258C5×C22⋊C4C22×D313yescomplemented
259C22⋊Dic5—36no—
260C22⋊Dic5—33no—
261C22⋊Dic5—36no—
262C22⋊Dic5—36no—
263C22⋊Dic5—36no—
264C22⋊Dic5C22×D316yescomplemented
265C22⋊Dic5C22×D313yescomplemented
266#685—36no—
267#685—36no—
268#685—36no—
269#685C22×D316yescomplemented
270C4×Dic5—33no—
271C4×Dic5—36no—
272C4×Dic5C22×D313yescomplemented
273H(3,𝔽4)—51no—
274H(3,𝔽4)—152no—
275H(3,𝔽4)—153no—
276H(3,𝔽4)—153no—
277H(3,𝔽4)—156no—
278H(3,𝔽4)—151no—
279C2×#124—156no—
280C2×#124—153no—
281C2×#120—31no—
282C2×#120—153no—
283C2×#120—152no—
284C22×C3×C5—26no—
285C22×C3×C5—23no—
286C22×C3×C5—23no—
287C22×C3×C5—44no—
288C22×C3×C5C2511yescharacteristic
289C2×D15—26no—
290C2×D15—44no—
291C2×C5×D3—26no—
292C2×C5×D3—23no—
293C2×C5×D3—23no—
294C2×C5×D3—412no—
295C2×C5×D3—44no—
296C2×C5×D3—412no—
297C2×C5×D3H(5,𝔽2)16yes—
298C2×C3×D5—26no—
299C2×C3×D5—44no—
300D3×D5—48no—
301D3×D5—48no—
302C3×C4×C5—23no—
303Dic15—26no—
304C3×Dic5—26no—
305C5×Dic3—23no—
306C24×C3—51no—
307C24×C3C22×D511yescharacteristic, complemented
308C23×D3—46no—
309C23×D3—51no—
310C23×D3—52no—
311C23×D3—52no—
312C23×D3—206no—
313C23×D3C22×D511yescharacteristic
314C23×D3C22×D513yes—
315C23×D3C22×D513yescomplemented
316C2×C3×Q8—53no—
317C2×C3×D4—56no—
318C2×C3×D4C22×D513yes—
319C2×#67—56no—
320C2×#67—56no—
321C2×#67C22×D513yes—
322C2×#67C22×D513yes—
323D3×Q8—206no—
324D3×D4—46no—
325D3×D4—2012no—
326C2×D12—56no—
327C2×D12C22×D513yes—
328C2×C4×D3—56no—
329C2×C4×D3C22×D513yes—
330C2×Dic6—53no—
331C2×Dic6—56no—
332C3×C22⋊C4—53no—
333C3×C22⋊C4—56no—
334C3×C22⋊C4—56no—
335C3×C22⋊C4C22×D513yescomplemented
336C3×C42—53no—
337#217—53no—
338#217—56no—
339#217—56no—
340#217C22×D513yescomplemented
341(C2×D3)⋊C4—56no—
342(C2×D3)⋊C4—56no—
343(C2×D3)⋊C4—56no—
344(C2×D3)⋊C4—56no—
345(C2×D3)⋊C4—56no—
346(C2×D3)⋊C4C22×D516yescomplemented
347C4×Dic3—53no—
348C4×Dic3—56no—
349C23×C5—31no—
350C23×C5—31no—
351C23×C5—33no—
352C23×C5—43no—
353C23×C5—612no—
354C23×C5—66no—
355C23×C5—66no—
356C23×C5—126no—
357C23×C5—123no—
358C23×C5—1216no—
359C23×C5C23×D311yescharacteristic
360C23×C5C23×D313yes—
361C22×D5—32no—
362C22×D5—43no—
363C22×D5—612no—
364C22×D5—126no—
365C22×D5—1216no—
366C22×D5—123no—
367C22×D5C23×D312yes—
368C5×D4—43no—
369C5×D4—123no—
370C5×D4—123no—
371C5×D4—123no—
372C2×C4×C5—33no—
373C2×C4×C5—66no—
374C2×C4×C5C23×D313yes—
375C22⋊D5—46no—
376C22⋊D5—126no—
377C22⋊D5—126no—
378C22⋊D5—126no—
379C2×Dic5—36no—
380C2×Dic5—612no—
381C2×Dic5C23×D316yes—
382Dic10—43no—
383Dic10—126no—
384Dic10—123no—
385C25—31no—
386C25—151no—
387C22×Q8—153no—
388C22×D4—33no—
389C22×D4—156no—
390#124—53no—
391#124—56no—
392#124—156no—
393#124—153no—
394#124—156no—
395#124—156no—
396#124—156no—
397#124—156no—
398#124—156no—
399#124—156no—
400#124—156no—
401#124—153no—
402#124—153no—
403#124—156no—
404#120—31no—
405#120—33no—
406#120—33no—
407#120—52no—
408#120—53no—
409#120—153no—
410#120—156no—
411#120—156no—
412#120—156no—
413#120—153no—
414#120—156no—
415#120—152no—
416#120—153no—
417#120D3×D511yescharacteristic, complemented
418C2×C22⋊C4—33no—
419C2×C22⋊C4—156no—
420C2×C22⋊C4—156no—
421C2×C22⋊C4—153no—
422C2×C42—153no—
423C2×C3×C5—41no—
424C2×C3×C5—43no—
425C2×C3×C5C2×H(5,𝔽2)13yes—
426D15—42no—
427C3×D5—42no—
428C5×D3—41no—
429C5×D3—43no—
430C5×D3H(3,𝔽4)14yescomplemented
431C23×C3—43no—
432C23×C3—52no—
433C23×C3—203no—
434C23×C3C23×D511yescharacteristic
435C23×C3C23×D513yes—
436C22×D3—26no—
437C22×D3—26no—
438C22×D3—212no—
439C22×D3—46no—
440C22×D3—43no—
441C22×D3—416no—
442C22×D3—52no—
443C22×D3—1012no—
444C22×D3—206no—
445C22×D3—2016no—
446C22×D3—203no—
447C22×D3C23×D511yescharacteristic
448C22×D3C23×D513yes—
449C22×D3C23×D511yescharacteristic
450C3×Q8—203no—
451C3×D4—43no—
452C3×D4—206no—
453C2×C3×C4—56no—
454C2×C3×C4C23×D513yes—
455#67—43no—
456#67—43no—
457#67—206no—
458#67—206no—
459C2×Dic3—56no—
460C2×Dic3C23×D513yes—
461D12—43no—
462D12—206no—
463C4×D3—26no—
464C4×D3—1012no—
465Dic6—206no—
466Dic6—203no—
467C22×C5—26no—
468C22×C5—23no—
469C22×C5—23no—
470C22×C5—36no—
471C22×C5—44no—
472C22×C5—66no—
473C22×C5—63no—
474C22×C5—63no—
475C22×C5—124no—
476C22×C5—1212no—
477C22×C5—1212no—
478C22×C5C24×D311yescharacteristic
479C2×D5—26no—
480C2×D5—44no—
481C2×D5—66no—
482C2×D5—128no—
483C2×D5—128no—
484C2×D5—124no—
485C4×C5—23no—
486C4×C5—63no—
487Dic5—26no—
488Dic5—66no—
489C24—33no—
490C24—31no—
491C24—33no—
492C24—51no—
493C24—126no—
494C24—152no—
495C24—152no—
496C24—151no—
497C24—606no—
498C24C2×D3×D511yescharacteristic, complemented
499C2×Q8—53no—
500C2×Q8—156no—
501C2×Q8—153no—
502C2×Q8—606no—
503C2×D4—33no—
504C2×D4—33no—
505C2×D4—33no—
506C2×D4—56no—
507C2×D4—126no—
508C2×D4—156no—
509C2×D4—156no—
510C2×D4—156no—
511C2×D4—6012no—
512C2×D4C2×D3×D513yes—
513C22×C4—33no—
514C22×C4—156no—
515C22⋊C4—33no—
516C22⋊C4—36no—
517C22⋊C4—56no—
518C22⋊C4—53no—
519C22⋊C4—56no—
520C22⋊C4—156no—
521C22⋊C4—156no—
522C22⋊C4—156no—
523C22⋊C4—156no—
524C22⋊C4—156no—
525C22⋊C4—156no—
526C22⋊C4—153no—
527C22⋊C4—156no—
528C22⋊C4C2×D3×D513yescomplemented
529C42—53no—
530C42—156no—
531C42—153no—
532C3×C5C2×H(3,𝔽4)11yescharacteristic, complemented, Hall
533C22×C3—23no—
534C22×C3—23no—
535C22×C3—26no—
536C22×C3—44no—
537C22×C3—106no—
538C22×C3—204no—
539C22×C3C24×D511yescharacteristic
540C2×D3—23no—
541C2×D3—23no—
542C2×D3—26no—
543C2×D3—412no—
544C2×D3—412no—
545C2×D3—44no—
546C2×D3—106no—
547C2×D3—208no—
548C2×D3—204no—
549C2×D3—208no—
550C2×D3#414416yes—
551C3×C4—23no—
552C3×C4—106no—
553Dic3—23no—
554Dic3—106no—
555C2×C5—34no—
556C2×C5—41no—
557C2×C5—43no—
558C2×C5—121no—
559C2×C5—123no—
560C2×C5D3×H(5,𝔽2)13yes—
561D5—42no—
562D5—122no—
563C23—31no—
564C23—33no—
565C23—31no—
566C23—43no—
567C23—52no—
568C23—66no—
569C23—66no—
570C23—612no—
571C23—123no—
572C23—126no—
573C23—1216no—
574C23—152no—
575C23—203no—
576C23—3012no—
577C23—603no—
578C23—606no—
579C23—6016no—
580C23C22×D3×D513yes—
581C23C22×D3×D511yescharacteristic
582Q8—203no—
583Q8—603no—
584Q8—606no—
585D4—43no—
586D4—123no—
587D4—123no—
588D4—123no—
589D4—206no—
590D4—606no—
591D4—606no—
592D4—606no—
593C2×C4—33no—
594C2×C4—56no—
595C2×C4—66no—
596C2×C4—156no—
597C2×C4—3012no—
598C2×C4C22×D3×D513yes—
599C2×C3—43no—
600C2×C3—41no—
601C2×C3—202no—
602C2×C3C2×#414413yes—
603D3—43no—
604D3—41no—
605D3—202no—
606D3#6592814yesdirect product factor
607C5D3×H(3,𝔽4)11yescharacteristic, complemented, Sylow
608C22—23no—
609C22—23no—
610C22—26no—
611C22—36no—
612C22—44no—
613C22—63no—
614C22—63no—
615C22—66no—
616C22—106no—
617C22—1212no—
618C22—124no—
619C22—1212no—
620C22—204no—
621C22—306no—
622C22—608no—
623C22—604no—
624C22—608no—
625C22C23×D3×D511yescharacteristic
626C4—23no—
627C4—63no—
628C4—106no—
629C4—306no—
630C3C2×#6592811yescharacteristic, complemented, Sylow
631C2—34no—
632C2—43no—
633C2—41no—
634C2—123no—
635C2—121no—
636C2—202no—
637C2—602no—
638C2D3×#414413yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#120C22
hypercenter#120D3×D5
hypocenterC3×C5C2×H(3,𝔽4)
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #120

Complements

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

NH ≅ G/Ntype
1. #11756353C2semidirect
2. C5×D3×#120C2semidirect
3. C3×#65928C2semidirect
4. #11755443C2semidirect
5. D3×#4099C2semidirect
6. D3×#4083C2semidirect
7. #11755003C2semidirect
8. #11754983C2semidirect
9. D3×#4082C2semidirect
10. #11753300C2semidirect
11. D3×#4031C2semidirect
13. C24×C5×D3C22semidirect
14. C23×D3×D5C22semidirect
17. C2×D3×Dic10C22semidirect
18. C3×C5×#120C22semidirect
19. #91842C22semidirect
20. #91826C22semidirect
21. #91825C22semidirect
22. #91774C22semidirect
23. C5×#953C22semidirect
24. C5×#937C22semidirect
25. C5×#882C22semidirect
26. C5×D3×C22⋊C4C22semidirect
27. C3×#4099C22semidirect
28. C3×#4083C22semidirect
29. C3×#4082C22semidirect
30. C3×#4031C22semidirect
31. #91577C22semidirect
32. #91573C22semidirect
33. #91570C22semidirect
34. #91568C22semidirect
35. #91563C22semidirect
36. D3×C22⋊Dic5C22semidirect
37. D3×C22⋊Dic5C22semidirect
38. #91534C22semidirect
39. #91526C22semidirect
40. #91525C22semidirect
41. #91525C22semidirect
42. #91475C22semidirect
43. D3×#685C22semidirect
44. #91464C22semidirect
45. #91462C22semidirect
46. C4×D3×Dic5C22semidirect
47. #91373C22semidirect
48. #91370C22semidirect
49. #91350C22semidirect
50. #91326C22semidirect
61. #65928D3direct (N × H)
63. C24×C3×C5C23semidirect
64. C23×D15C23semidirect
68. C23×C5×D3C23semidirect
69. C23×C3×D5C23semidirect
72. C22×D3×D5C23semidirect
75. C2×Dic30C23semidirect
82. C2×C3×Dic10C23semidirect
84. C2×#1204C23semidirect
89. C3×C5×C22⋊C4C23semidirect
90. #6719C23semidirect
91. #6719C23semidirect
92. #6714C23semidirect
93. C4×Dic15C23semidirect
94. C5×#217C23semidirect
95. C5×(C2×D3)⋊C4C23semidirect
96. C3×C22⋊Dic5C23semidirect
97. C3×C22⋊Dic5C23semidirect
98. C3×#685C23semidirect
99. C3×C4×Dic5C23semidirect
100. #6667C23semidirect
101. (C2×D3)⋊Dic5C23semidirect
102. (C2×D3)⋊Dic5C23semidirect
103. (C2×D3)⋊Dic5C23semidirect
104. #6665C23semidirect
105. Dic3×Dic5C23semidirect
116. D3×#120D5semidirect
125. C5×#120C2×D3semidirect
130. #4099C2×D3semidirect
138. #4083C2×D3semidirect
144. #4082C2×D3semidirect
154. #4031C2×D3semidirect
193. C24×D3C2×D5semidirect
201. C3×#120C2×D5semidirect
204. #953C2×D5semidirect
210. #937C2×D5semidirect
222. #882C2×D5semidirect
226. D3×C22⋊C4C2×D5semidirect
234. C24×C5C22×D3semidirect
239. C23×D5C22×D3semidirect
255. C2×Dic10C22×D3semidirect
258. C5×C22⋊C4C22×D3semidirect
264. C22⋊Dic5C22×D3semidirect
265. C22⋊Dic5C22×D3semidirect
269. #685C22×D3semidirect
272. C4×Dic5C22×D3semidirect
307. C24×C3C22×D5semidirect
315. C23×D3C22×D5semidirect
335. C3×C22⋊C4C22×D5semidirect
340. #217C22×D5semidirect
346. (C2×D3)⋊C4C22×D5semidirect
417. #120D3×D5semidirect
430. C5×D3H(3,𝔽4)semidirect
498. C24C2×D3×D5semidirect
528. C22⋊C4C2×D3×D5semidirect
532. C3×C5C2×H(3,𝔽4)semidirect
606. D3#65928direct (N × H)
607. C5D3×H(3,𝔽4)semidirect
630. C3C2×#65928semidirect

Maximal subgroups

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

subgroupindex
#117563532
C5×D3×#1202
C3×#659282
#117554432
D3×#40992
D3×#40832
#117550032
#117549832
D3×#40822
#117533002
D3×#40312
C2×#659283
D3×H(3,𝔽4)5