Finite Group Databasebeta

← D3×#66031 #14481228

Subgroups — D3×#66031 #14481228

Order 1920.

2008 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756457C211yesmaximal, characteristic, complemented
2C5×D3×#125C211yesmaximal, characteristic, complemented
3C3×#66031C211yesmaximal, characteristic, complemented
4D3×#4044C214yesmaximal
5D3×#4043C212yesmaximal
6D3×#4036C214yesmaximal, complemented
7#11753570C214yesmaximal, complemented
8D3×#4033C212yesmaximal, complemented
9#11753394C212yesmaximal, complemented
10#11753379C212yesmaximal, complemented
11#11753322C214yesmaximal, complemented
12D3×#4018C211yesmaximal, characteristic
13D3×#4015C211yesmaximal, characteristic, complemented
14#11752510C211yesmaximal, characteristic, complemented
15#11752485C211yesmaximal, characteristic, complemented
16C2×#66031—31nomaximal, Hall
17C2×C4×D3×D5C2211yescharacteristic
18C2×D3×Dic10C2212yes—
19C3×C5×#125C2211yescharacteristic, complemented
20#91787C2214yes—
21#91786C2212yes—
22#91779C2214yescomplemented
23#91776C2212yescomplemented
24#91761C2211yescharacteristic
25#91758C2211yescharacteristic, complemented
26C5×D3×C4⋊C4C2214yes—
27C5×D3×C4⋊C4C2212yes—
28C5×#890C2212yescomplemented
29C5×#889C2214yescomplemented
30C42×C5×D3C2211yescharacteristic
31C5×#870C2211yescharacteristic, complemented
32C3×#4044C2214yes—
33C3×#4043C2212yes—
34C3×#4036C2214yescomplemented
35C3×#4033C2212yescomplemented
36C3×#4018C2211yescharacteristic
37C3×#4015C2211yescharacteristic, complemented
38D3×#685C2212yes—
39D3×#685C2214yes—
40#91469C2214yescomplemented
41#91429C2214yes—
42D3×C4⋊Dic5C2214yes—
43D3×C4⋊Dic5C2214yes—
44#91422C2214yes—
45#91403C2212yes—
46D3×#683C2212yes—
47D3×#683C2214yes—
48C4×D3×Dic5C2211yescharacteristic
49C4×D3×Dic5C2214yes—
50#91393C2212yes—
51#91390C2212yes—
52#91389C2212yescomplemented
53#91388C2214yescomplemented
54#91387C2214yes—
55#91386C2211yescharacteristic
56#91384C2214yescomplemented
57#91366C2214yes—
58#91362C2214yes—
59#91361C2214yes—
60#91360C2212yes—
61#91357C2211yescharacteristic
62#91346C2214yescomplemented
63#91346C2214yescomplemented
64#91345C2214yes—
65#91343C2214yescomplemented
66#91343C2214yescomplemented
67#91337C2214yes—
68#91333C2212yescomplemented
69#91331C2212yescomplemented
70#91325C2214yescomplemented
71#91323C2214yescomplemented
72D3×#541—51nomaximal, Hall
73C2×C5×#125—31no—
74#66031—34no—
75#66031—32no—
76#66031—34no—
77#66031—32no—
78#66031—31no—
79#66031—31no—
80#66031—31no—
81#66031D311yescharacteristic, direct product factor
82C2×#4044—34no—
83C2×#4043—32no—
84C2×#4036—34no—
85C2×#4033—32no—
86C2×#4018—31no—
87C2×#4015—31no—
88C22×D3×D5C2311yescharacteristic
89C2×C4×D15C2311yescharacteristic
90C2×Dic30C2312yes—
91C2×C4×C5×D3C2314yes—
92C2×C4×C5×D3C2312yes—
93C2×C4×C5×D3C2311yescharacteristic
94C2×C3×C4×D5C2311yescharacteristic
95C2×C3×Dic10C2312yes—
96C2×#1204C2314yes—
97C2×#1200C2311yescharacteristic
98C2×D3×Dic5C2312yes—
99C2×D3×Dic5C2314yes—
100C2×D3×Dic5C2311yescharacteristic
101C2×D5×Dic3C2311yescharacteristic
102C4×D3×D5—24no—
103D3×Dic10—28no—
104C3×C5×C4⋊C4C2314yes—
105C3×C5×C4⋊C4C2312yes—
106C3×C42×C5C2311yescharacteristic
107#6714C2312yes—
108#6714C2314yes—
109C4⋊Dic15C2314yes—
110C4⋊Dic15C2314yes—
111#6712C2312yes—
112#6712C2314yes—
113C4×Dic15C2311yescharacteristic
114C4×Dic15C2314yes—
115C5×C4⋊Dic3C2312yes—
116C5×C4⋊Dic3C2314yes—
117C5×Dic3⋊C4C2314yes—
118C5×Dic3⋊C4C2314yes—
119C5×Dic3⋊C4C2314yes—
120C4×C5×Dic3C2312yes—
121C4×C5×Dic3C2311yescharacteristic
122C3×#685C2312yes—
123C3×#685C2314yes—
124C3×C4⋊Dic5C2314yes—
125C3×C4⋊Dic5C2314yes—
126C3×#683C2312yes—
127C3×#683C2314yes—
128C3×C4×Dic5C2314yes—
129C3×C4×Dic5C2311yescharacteristic
130Dic3⋊Dic5C2314yes—
131Dic3⋊Dic5C2314yes—
132Dic3⋊Dic5C2314yes—
133Dic3⋊Dic5C2314yes—
134#6669C2312yes—
135#6669C2314yes—
136#6668C2312yes—
137#6668C2314yes—
138#6667C2312yes—
139#6667C2314yes—
140#6665C2312yes—
141#6665C2314yes—
142Dic3×Dic5C2312yes—
143Dic3×Dic5C2314yes—
144Dic3×Dic5C2314yes—
145C3×#541—51no—
146#5731—51no—
147D3×C4⋊Q8—51no—
148D3×#126—54no—
149#5701—54no—
150#5698—51no—
151#5696—54no—
152D3×#125—54no—
153D3×#125D511yescharacteristic, complemented
154D3×C22⋊Q8—52no—
155#5625—52no—
156#5583—52no—
157C4×D3×Q8—52no—
158D3×#117—51no—
159#5518—51no—
160C22×C4×D5—31no—
161C22×Dic10—32no—
162C5×#125—34no—
163C5×#125—32no—
164C5×#125—31no—
165C5×#125C2×D311yescharacteristic, complemented
166C2×C5×C4⋊C4—32no—
167C2×C5×C4⋊C4—34no—
168C2×C42×C5—31no—
169C2×#685—32no—
170C2×#685—34no—
171C2×C4⋊Dic5—34no—
172C2×C4⋊Dic5—34no—
173C2×#683—32no—
174C2×#683—34no—
175C2×C4×Dic5—31no—
176C2×C4×Dic5—34no—
177#4044—34no—
178#4044—34no—
179#4044—34no—
180#4044—34no—
181#4044—34no—
182#4044—34no—
183#4044—34no—
184#4044C2×D314yes—
185#4043—32no—
186#4043—32no—
187#4043—32no—
188#4043—34no—
189#4043—34no—
190#4043C2×D312yes—
191#4036—34no—
192#4036—34no—
193#4036—34no—
194#4036—34no—
195#4036—34no—
196#4036—34no—
197#4036—34no—
198#4036C2×D314yescomplemented
199#4033—32no—
200#4033—32no—
201#4033—34no—
202#4033—34no—
203#4033—32no—
204#4033C2×D312yescomplemented
205#4018—31no—
206#4018—31no—
207#4018—32no—
208#4018—32no—
209#4018—31no—
210#4018C2×D311yescharacteristic
211#4015—32no—
212#4015—31no—
213#4015—34no—
214#4015C2×D311yescharacteristic, complemented
215C2×#541—151noSylow
216C22×D15C2411yescharacteristic
217C22×C5×D3C2411yescharacteristic
218C22×C3×D5C2411yescharacteristic
219C2×D3×D5—22no—
220C2×D3×D5—24no—
221C2×C3×C4×C5C2414yes—
222C2×C3×C4×C5C2412yes—
223C2×C3×C4×C5C2411yescharacteristic
224C2×Dic15C2412yes—
225C2×Dic15C2414yes—
226C2×Dic15C2411yescharacteristic
227C4×D15—22no—
228Dic30—24no—
229C2×C5×Dic3C2414yes—
230C2×C5×Dic3C2412yes—
231C2×C5×Dic3C2411yescharacteristic
232C4×C5×D3—28no—
233C4×C5×D3—24no—
234C4×C5×D3#4114yes—
235C2×C3×Dic5C2412yes—
236C2×C3×Dic5C2414yes—
237C2×C3×Dic5C2411yescharacteristic
238C3×C4×D5—22no—
239C3×Dic10—24no—
240#1204—28no—
241#1200—22no—
242D3×Dic5—28no—
243D3×Dic5—22no—
244D3×Dic5—24no—
245D5×Dic3—22no—
246C2×D3×Q8—52no—
247C22×C4×D3—51no—
248C3×C4⋊Q8—51no—
249C3×#126—54no—
250C3×#125—54no—
251C3×#125C2×D511yescharacteristic, complemented
252C3×C22⋊Q8—52no—
253C3×C4×Q8—52no—
254C3×#117—51no—
255#946—52no—
256Q8×Dic3—52no—
257#944—52no—
258#926—51no—
259#924—52no—
260#898—54no—
261#898—54no—
262#898—54no—
263#897—52no—
264#896—54no—
265#892—52no—
266D3×C4⋊C4—52no—
267D3×C4⋊C4—54no—
268D3×C4⋊C4—54no—
269D3×C4⋊C4—54no—
270D3×C4⋊C4C2×D514yes—
271D3×C4⋊C4C2×D512yes—
272#890—54no—
273#890—54no—
274#890C2×D512yescomplemented
275#889—54no—
276#889—54no—
277#889—54no—
278#889—54no—
279#889C2×D514yescomplemented
280#888—54no—
281#887—52no—
282#887—54no—
283D3×C22⋊C4—52no—
284D3×C22⋊C4—54no—
285#879—54no—
286#879—54no—
287#879—54no—
288#878—54no—
289#877—52no—
290#876—54no—
291#872—51no—
292#872—51no—
293C42×D3—54no—
294C42×D3—51no—
295C42×D3C2×D511yescharacteristic
296#870—54no—
297#870C2×D511yescharacteristic, complemented
298#869—51no—
299C4×Dic6—52no—
300C4×Dic6—54no—
301C23×D5—31no—
302C22×C4×C5—31no—
303C22×C4×C5—32no—
304C22×C4×C5—34no—
305C22×Dic5—34no—
306C22×Dic5—31no—
307C22×Dic5—32no—
308C2×C4×D5—31no—
309C2×C4×D5—31no—
310C2×C4×D5—31no—
311C2×C4×D5—64no—
312C2×C4×D5C22×D311yescharacteristic
313C2×Dic10—32no—
314C2×Dic10—34no—
315C2×Dic10—68no—
316C2×Dic10C22×D312yes—
317C5×C4⋊C4—34no—
318C5×C4⋊C4—34no—
319C5×C4⋊C4—34no—
320C5×C4⋊C4—32no—
321C5×C4⋊C4—34no—
322C5×C4⋊C4C22×D312yes—
323C5×C4⋊C4C22×D314yes—
324C42×C5—32no—
325C42×C5—31no—
326C42×C5C22×D311yescharacteristic
327#685—32no—
328#685—34no—
329#685—32no—
330#685—34no—
331#685—32no—
332#685—34no—
333#685C22×D312yes—
334#685C22×D314yes—
335C4⋊Dic5—34no—
336C4⋊Dic5—34no—
337C4⋊Dic5—34no—
338C4⋊Dic5—34no—
339C4⋊Dic5—34no—
340C4⋊Dic5—34no—
341C4⋊Dic5C22×D314yes—
342C4⋊Dic5C22×D314yes—
343#683—32no—
344#683—34no—
345#683—32no—
346#683—34no—
347#683—32no—
348#683—34no—
349#683C22×D312yes—
350#683C22×D314yes—
351C4×Dic5—31no—
352C4×Dic5—34no—
353C4×Dic5—32no—
354C4×Dic5—34no—
355C4×Dic5—34no—
356C4×Dic5C22×D311yescharacteristic
357C4×Dic5C22×D314yes—
358#541—51no—
359#541—151no—
360#541—152no—
361#541—152no—
362#541—154no—
363#541—154no—
364#541—151no—
365#541—151no—
366C2×C4⋊Q8—151no—
367C2×#126—154no—
368C2×#125—31no—
369C2×#125—154no—
370C2×C22⋊Q8—152no—
371C2×C4×Q8—152no—
372C2×#117—151no—
373C22×C3×C5C2511yescharacteristic
374C2×D15—21no—
375C2×D15—22no—
376C2×C5×D3C2×#4112yes—
377C2×C5×D32−1+414yes—
378C2×C3×D5—21no—
379C2×C3×D5—22no—
380D3×D5—44no—
381C3×C4×C5—24no—
382C3×C4×C5—22no—
383C3×C4×C5C2×#4112yes—
384Dic15—21no—
385Dic15—24no—
386Dic15—22no—
387C3×Dic5—21no—
388C3×Dic5—24no—
389C3×Dic5—22no—
390C5×Dic3—24no—
391C5×Dic3—22no—
392C5×Dic3C2×#4112yes—
393C23×D3—51no—
394C2×C3×Q8—52no—
395C22×C3×C4—51no—
396C22×Dic3—51no—
397D3×Q8—108no—
398C2×C4×D3—52no—
399C2×C4×D3—54no—
400C2×C4×D3—51no—
401C2×C4×D3—51no—
402C2×C4×D3—51no—
403C2×C4×D3—104no—
404C2×C4×D3C22×D514yes—
405C2×C4×D3C22×D512yes—
406C2×C4×D3C22×D511yescharacteristic
407C2×Dic6—52no—
408C2×Dic6—54no—
409C3×C4⋊C4—54no—
410C3×C4⋊C4—52no—
411C3×C4⋊C4—54no—
412C3×C4⋊C4—54no—
413C3×C4⋊C4C22×D512yes—
414C3×C4⋊C4C22×D514yes—
415C3×C22⋊C4—52no—
416C3×C22⋊C4—54no—
417C3×C42—51no—
418C3×C42—54no—
419C3×C42C22×D511yescharacteristic
420#217—52no—
421#217—54no—
422(C2×D3)⋊C4—52no—
423(C2×D3)⋊C4—54no—
424(C2×D3)⋊C4—52no—
425(C2×D3)⋊C4—54no—
426C4⋊Dic3—54no—
427C4⋊Dic3—54no—
428C4⋊Dic3—54no—
429C4⋊Dic3—52no—
430C4⋊Dic3C22×D512yes—
431C4⋊Dic3C22×D514yes—
432Dic3⋊C4—54no—
433Dic3⋊C4—52no—
434Dic3⋊C4—54no—
435Dic3⋊C4—52no—
436Dic3⋊C4—54no—
437Dic3⋊C4—54no—
438Dic3⋊C4—54no—
439Dic3⋊C4—54no—
440Dic3⋊C4C22×D514yes—
441Dic3⋊C4C22×D514yes—
442Dic3⋊C4C22×D514yes—
443C4×Dic3—51no—
444C4×Dic3—54no—
445C4×Dic3—52no—
446C4×Dic3—54no—
447C4×Dic3—54no—
448C4×Dic3C22×D511yescharacteristic
449C4×Dic3C22×D512yes—
450C23×C5—31no—
451C22×D5—31no—
452C22×D5—62no—
453C22×D5—64no—
454C22×D5C23×D311yescharacteristic
455C2×C4×C5—31no—
456C2×C4×C5—34no—
457C2×C4×C5—34no—
458C2×C4×C5—32no—
459C2×C4×C5—64no—
460C2×C4×C5—68no—
461C2×C4×C5C23×D314yes—
462C2×C4×C5C23×D312yes—
463C2×C4×C5C23×D311yescharacteristic
464C2×Dic5—32no—
465C2×Dic5—34no—
466C2×Dic5—31no—
467C2×Dic5—68no—
468C2×Dic5—62no—
469C2×Dic5—64no—
470C2×Dic5C23×D312yes—
471C2×Dic5C23×D314yes—
472C2×Dic5C23×D311yescharacteristic
473C4×D5—22no—
474C4×D5—62no—
475C4×D5—62no—
476C4×D5—62no—
477Dic10—24no—
478Dic10—68no—
479Dic10—64no—
480C22×Q8—152no—
481C23×C4—151no—
482C4⋊Q8—51no—
483C4⋊Q8—154no—
484C4⋊Q8—152no—
485C4⋊Q8—151no—
486#126—54no—
487#126—154no—
488#126—154no—
489#126—154no—
490#126—154no—
491#126—154no—
492#126—154no—
493#126—154no—
494#125—34no—
495#125—32no—
496#125—31no—
497#125—54no—
498#125—154no—
499#125—154no—
500#125—154no—
501#125—154no—
502#125—154no—
503#125—154no—
504#125—154no—
505#125D3×D511yescharacteristic, complemented
506C22⋊Q8—52no—
507C22⋊Q8—154no—
508C22⋊Q8—154no—
509C22⋊Q8—152no—
510C22⋊Q8—152no—
511C22⋊Q8—152no—
512C4×Q8—52no—
513C4×Q8—152no—
514C4×Q8—154no—
515C4×Q8—154no—
516C4×Q8—152no—
517C4×Q8—152no—
518#117—51no—
519#117—151no—
520#117—152no—
521#117—152no—
522#117—151no—
523#117—151no—
524C2×C4⋊C4—32no—
525C2×C4⋊C4—34no—
526C2×C4⋊C4—152no—
527C2×C4⋊C4—154no—
528C2×C4⋊C4—154no—
529C2×C4⋊C4—154no—
530C2×C22⋊C4—152no—
531C2×C22⋊C4—154no—
532C2×C42—31no—
533C2×C42—151no—
534C2×C42—154no—
535C2×C3×C5C22×#4111yescharacteristic
536C2×C3×C5C2×2−1+412yes—
537D15—41no—
538C3×D5—41no—
539C5×D3#54114yescomplemented
540C23×C3—51no—
541C22×D3—51no—
542C22×D3—102no—
543C22×D3—104no—
544C22×D3C23×D511yescharacteristic
545C3×Q8—104no—
546C2×C3×C4—52no—
547C2×C3×C4—54no—
548C2×C3×C4—51no—
549C2×C3×C4—102no—
550C2×C3×C4C23×D514yes—
551C2×C3×C4C23×D512yes—
552C2×C3×C4C23×D511yescharacteristic
553C2×Dic3—52no—
554C2×Dic3—54no—
555C2×Dic3—51no—
556C2×Dic3—102no—
557C2×Dic3C23×D514yes—
558C2×Dic3C23×D512yes—
559C2×Dic3C23×D511yescharacteristic
560C4×D3—28no—
561C4×D3—24no—
562C4×D3—102no—
563C4×D3—108no—
564C4×D3—104no—
565C4×D3—102no—
566C4×D3—102no—
567C4×D3#71314yes—
568Dic6—104no—
569Dic6—108no—
570C22×C5—32no—
571C22×C5—34no—
572C22×C5C24×D311yescharacteristic
573C2×D5—21no—
574C2×D5—22no—
575C2×D5—61no—
576C2×D5—62no—
577C2×D5—124no—
578C4×C5—24no—
579C4×C5—22no—
580C4×C5—32no—
581C4×C5—64no—
582C4×C5—62no—
583C4×C5D3×#4112yes—
584Dic5—24no—
585Dic5—21no—
586Dic5—22no—
587Dic5—64no—
588Dic5—61no—
589Dic5—62no—
590C24—151no—
591C2×Q8—52no—
592C2×Q8—154no—
593C2×Q8—152no—
594C2×Q8—308no—
595C22×C4—31no—
596C22×C4—32no—
597C22×C4—34no—
598C22×C4—51no—
599C22×C4—151no—
600C22×C4—151no—
601C22×C4—152no—
602C22×C4—154no—
603C22×C4—151no—
604C22×C4—151no—
605C22×C4—304no—
606C4⋊C4—34no—
607C4⋊C4—32no—
608C4⋊C4—34no—
609C4⋊C4—34no—
610C4⋊C4—34no—
611C4⋊C4—52no—
612C4⋊C4—54no—
613C4⋊C4—54no—
614C4⋊C4—54no—
615C4⋊C4—152no—
616C4⋊C4—152no—
617C4⋊C4—154no—
618C4⋊C4—154no—
619C4⋊C4—154no—
620C4⋊C4—154no—
621C4⋊C4—154no—
622C4⋊C4—154no—
623C4⋊C4—152no—
624C4⋊C4—154no—
625C4⋊C4—154no—
626C4⋊C4—154no—
627C4⋊C4C2×D3×D512yes—
628C4⋊C4C2×D3×D514yes—
629C22⋊C4—52no—
630C22⋊C4—54no—
631C22⋊C4—152no—
632C22⋊C4—154no—
633C22⋊C4—152no—
634C22⋊C4—154no—
635C22⋊C4—152no—
636C22⋊C4—154no—
637C42—32no—
638C42—31no—
639C42—51no—
640C42—54no—
641C42—152no—
642C42—154no—
643C42—154no—
644C42—151no—
645C42—154no—
646C42C2×D3×D511yescharacteristic
647C3×C5C2×#54111yescharacteristic, complemented, Hall
648C22×C3—101no—
649C22×C3—102no—
650C22×C3C24×D511yescharacteristic
651C2×D3—101no—
652C2×D3—102no—
653C2×D3—204no—
654C2×D3C2×#71312yes—
655C2×D3#415014yes—
656C3×C4—24no—
657C3×C4—22no—
658C3×C4—104no—
659C3×C4—101no—
660C3×C4—102no—
661C3×C4C2×#71312yes—
662Dic3—24no—
663Dic3—22no—
664Dic3—104no—
665Dic3—101no—
666Dic3—102no—
667Dic3C2×#71312yes—
668C2×C5—34no—
669C2×C5C2×D3×#4111yescharacteristic
670C2×C5D3×2−1+412yes—
671D5—41no—
672D5—121no—
673C23—31no—
674C23—51no—
675C23—151no—
676C23—302no—
677C23—304no—
678Q8—104no—
679Q8—308no—
680Q8—304no—
681C2×C4—31no—
682C2×C4—34no—
683C2×C4—32no—
684C2×C4—34no—
685C2×C4—52no—
686C2×C4—54no—
687C2×C4—51no—
688C2×C4—64no—
689C2×C4—68no—
690C2×C4—102no—
691C2×C4—152no—
692C2×C4—154no—
693C2×C4—151no—
694C2×C4—302no—
695C2×C4—302no—
696C2×C4—302no—
697C2×C4—308no—
698C2×C4—304no—
699C2×C4—302no—
700C2×C4C22×D3×D512yes—
701C2×C4C22×D3×D514yes—
702C2×C4C22×D3×D511yescharacteristic
703C2×C3—201no—
704C2×C3C22×#71311yescharacteristic
705C2×C3C2×#415012yes—
706D3—201no—
707D3#6603114yesdirect product factor
708C5D3×#54111yescharacteristic, complemented, Sylow
709C22—34no—
710C22—32no—
711C22—102no—
712C22—101no—
713C22—302no—
714C22—301no—
715C22—604no—
716C22C23×D3×D511yescharacteristic
717C4—22no—
718C4—24no—
719C4—32no—
720C4—62no—
721C4—64no—
722C4—102no—
723C4—101no—
724C4—104no—
725C4—302no—
726C4—301no—
727C4—304no—
728C4D3×#71312yes—
729C3C2×#6603111yescharacteristic, complemented, Sylow
730C2—34no—
731C2—201no—
732C2—601no—
733C2C2×D3×#71311yescharacteristic
734C2D3×#415012yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#125C22
prime radicalC22×D3×D5C23
hypercenter#125D3×D5
hypocenterC3×C5C2×#541
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #125

Complements

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

NH ≅ G/Ntype
1. #11756457C2semidirect
2. C5×D3×#125C2semidirect
3. C3×#66031C2semidirect
6. D3×#4036C2semidirect
7. #11753570C2semidirect
8. D3×#4033C2semidirect
9. #11753394C2semidirect
10. #11753379C2semidirect
11. #11753322C2semidirect
13. D3×#4015C2semidirect
14. #11752510C2semidirect
15. #11752485C2semidirect
19. C3×C5×#125C22semidirect
22. #91779C22semidirect
23. #91776C22semidirect
25. #91758C22semidirect
28. C5×#890C22semidirect
29. C5×#889C22semidirect
31. C5×#870C22semidirect
34. C3×#4036C22semidirect
35. C3×#4033C22semidirect
37. C3×#4015C22semidirect
40. #91469C22semidirect
52. #91389C22semidirect
53. #91388C22semidirect
56. #91384C22semidirect
62. #91346C22semidirect
63. #91346C22semidirect
65. #91343C22semidirect
66. #91343C22semidirect
68. #91333C22semidirect
69. #91331C22semidirect
70. #91325C22semidirect
71. #91323C22semidirect
81. #66031D3direct (N × H)
153. D3×#125D5semidirect
165. C5×#125C2×D3semidirect
198. #4036C2×D3semidirect
204. #4033C2×D3semidirect
214. #4015C2×D3semidirect
251. C3×#125C2×D5semidirect
274. #890C2×D5semidirect
279. #889C2×D5semidirect
297. #870C2×D5semidirect
505. #125D3×D5semidirect
539. C5×D3#541semidirect
647. C3×C5C2×#541semidirect
707. D3#66031direct (N × H)
708. C5D3×#541semidirect
729. C3C2×#66031semidirect

Maximal subgroups

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

subgroupindex
#117564572
C5×D3×#1252
C3×#660312
D3×#40442
D3×#40432
D3×#40362
#117535702
D3×#40332
#117533942
#117533792
#117533222
D3×#40182
D3×#40152
#117525102
#117524852
C2×#660313
D3×#5415