Finite Group Databasebeta

← #14430001

Subgroups — #14430001

Order 1920.

896 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11753840C211yesmaximal, characteristic
2#11753620C211yesmaximal, characteristic, complemented
3D15×#107C211yesmaximal, characteristic, complemented
4C5×#4891C211yesmaximal, characteristic, complemented
5C3×#65180C211yesmaximal, characteristic, complemented
6#11748108C211yesmaximal, characteristic
7#11747783C211yesmaximal, characteristic, complemented
8#11747771C211yesmaximal, characteristic, complemented
9#11747585C211yesmaximal, characteristic, complemented
10#11747478C211yesmaximal, characteristic
11#11747441C211yesmaximal, characteristic, complemented
12#11747394C211yesmaximal, characteristic, complemented
13#11747392C211yesmaximal, characteristic, complemented
14#11747249C211yesmaximal, characteristic, complemented
15#11747241C211yesmaximal, characteristic, complemented
16D5×#478—31nomaximal, Hall
17C2×#6777C2211yescharacteristic
18C2×C4×D3×D5—21no—
19C2×C8×D15C2211yescharacteristic
20C4⋊C4×D15C2211yescharacteristic
21C4⋊C4×D15C2211yescharacteristic
22C5×#893C2211yescharacteristic
23C5×#890C2211yescharacteristic, complemented
24C3×#4039C2211yescharacteristic
25C3×#4036C2211yescharacteristic, complemented
26#91473—21no—
27#91441—21no—
28#91440—21no—
29#91437—21no—
30#91437C2211yescharacteristic
31Dic3×D20C2211yescharacteristic
32Dic5×D12C2211yescharacteristic
33#91404—21no—
34C4×#1200C2211yescharacteristic
35#91388C2211yescharacteristic, complemented
36#91381C2211yescharacteristic, complemented
37#91339—21no—
38#91336—21no—
39C2×#6648C2211yescharacteristic
40C3×C5×#107C2211yescharacteristic, complemented
41#91102C2211yescharacteristic, complemented
42#91091C2211yescharacteristic, complemented
43#91091C2211yescharacteristic, complemented
44C5×#821C2211yescharacteristic
45C5×Dic3⋊C8C2211yescharacteristic, complemented
46C5×#809C2211yescharacteristic
47C5×#808C2211yescharacteristic, complemented
48C3×#3953C2211yescharacteristic
49C3×#3946C2211yescharacteristic, complemented
50C3×#3941C2211yescharacteristic
51C3×#3940C2211yescharacteristic, complemented
52#90987C2211yescharacteristic, complemented
53#90985C2211yescharacteristic, complemented
54Dic3⋊#168C2211yescharacteristic, complemented
55#90982C2211yescharacteristic, complemented
56#90967C2211yescharacteristic
57#90966C2211yescharacteristic
58#90965C2211yescharacteristic
59#90964C2211yescharacteristic
60D3×#478—51nomaximal, Hall
61D5×#125—31no—
62C4×D4×D5—31no—
63C5×#478—31no—
64#65355—31no—
65#65298—31no—
66#65180D311yescharacteristic, complemented
67D5×#107—31no—
68#65160—31no—
69D5×#106—31no—
70#65136—31no—
71D5×C4⋊C8—31no—
72D5×#102—31no—
73D5×#102—31no—
74#65055—31no—
75#65052—31no—
76C22×D3×D5—21no—
77C2×C4×D15—21no—
78C2×C4×D15—21no—
79C2×C4×D15C2311yescharacteristic
80C2×C5×D12C2311yescharacteristic
81C2×C4×C5×D3—21no—
82C2×C3×D20C2311yescharacteristic
83C2×C3×C4×D5—21no—
84C2×#1201—21no—
85C2×#1200—21no—
86C2×#1200D411yescharacteristic
87C2×#1200D411yescharacteristic
88C2×D3×Dic5—21no—
89C2×D5×Dic3—21no—
90#6777—22no—
91#6777Q814yes—
92C4×D3×D5—44no—
93C2×C3×C5×C8C2311yescharacteristic
94C3×C5×C4⋊C4C2311yescharacteristic
95C3×C5×C4⋊C4C2311yescharacteristic
96C4⋊Dic15C2311yescharacteristic
97C4⋊Dic15C2311yescharacteristic
98#6712—21no—
99#6712—21no—
100C2×C3⋊#168C2311yescharacteristic
101C8×D15—22no—
102C5×(C2×D3)⋊C4—21no—
103C5×C4⋊Dic3—21no—
104C5×C4⋊Dic3C2311yescharacteristic
105C5×Dic3⋊C4—21no—
106C4×C5×Dic3C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C3×#685—21no—
109C3×C4⋊Dic5—21no—
110C3×C4⋊Dic5C2311yescharacteristic
111C3×#683—21no—
112C3×C4×Dic5C2311yescharacteristic
113C2×C3×#168C2311yescharacteristic
114Dic3⋊Dic5—21no—
115#6669—21no—
116#6669—21no—
117#6669—21no—
118#6668—21no—
119(C2×D3)⋊Dic5—21no—
120#6665—21no—
121Dic3×Dic5D411yescharacteristic
122Dic3×Dic5D411yescharacteristic
123#6648—22no—
124D3×#125—51no—
125C4×D3×D4—51no—
126C3×#478—51no—
127#5066—51no—
128#5009—51no—
129#4891D511yescharacteristic, complemented
130D3×#107—51no—
131#4871—51no—
132D3×#106—51no—
133#4847—51no—
134D3×C4⋊C8—51no—
135D3×#102—51no—
136D3×#102—51no—
137#4766—51no—
138#4763—51no—
139C2×D4×D5—31no—
140C22×C4×D5—61no—
141C5×#125—31no—
142C4×C5×D4—31no—
143D4×Dic5—31no—
144C4×C22⋊D5—61no—
145C2×C8×D5—31no—
146C2×C8×D5—31no—
147#4039C2×D311yescharacteristic
148D5×C4⋊C4—31no—
149D5×C4⋊C4—31no—
150D5×C4⋊C4—31no—
151D5×C4⋊C4—61no—
152D5×C4⋊C4—61no—
153#4036—31no—
154#4036C2×D311yescharacteristic, complemented
155#4035—61no—
156#4035—61no—
157#4027—61no—
158D5×C22⋊C4—61no—
159C4×D20—31no—
160C42×D5—31no—
161#4016—31no—
162C5×#107C2×D311yescharacteristic, complemented
163C5×#106—31no—
164C5×C4⋊C8—31no—
165C5×#102—31no—
166C5×#102—31no—
167#3964—31no—
168#3964—31no—
169#3953—31no—
170#3953C2×D311yescharacteristic
171#3950—31no—
172#3949—31no—
173#3946—31no—
174#3946C2×D311yescharacteristic, complemented
175#3941—31no—
176#3941C2×D311yescharacteristic
177#3940—31no—
178#3940C2×D311yescharacteristic, complemented
179#3939—31no—
180#3939—31no—
181C4⋊#168—31no—
182C2×#478—151noSylow
183C22×D15C2×D411yescharacteristic
184C22×C5×D3—21no—
185C22×C3×D5—21no—
186C2×D3×D5—24no—
187C2×D3×D5—42no—
188C2×D3×D5—42no—
189C2×C3×C4×C5—21no—
190C2×C3×C4×C5—21no—
191C2×C3×C4×C5C2411yescharacteristic
192C2×Dic15—21no—
193C2×Dic15—21no—
194C2×Dic15C2×D411yescharacteristic
195C4×D15—42no—
196C4×D15—42no—
197C4×D15C2×Q812yes—
198C4×D15#4112yes—
199C2×C5×Dic3—21no—
200C2×C5×Dic3C2×D411yescharacteristic
201C2×C5×Dic3C2×D411yescharacteristic
202C5×D12—21no—
203C5×D12C2×Q812yes—
204C4×C5×D3—42no—
205C2×C3×Dic5—21no—
206C2×C3×Dic5C2×D411yescharacteristic
207C2×C3×Dic5C2×D411yescharacteristic
208C3×D20—21no—
209C3×D20C2×Q812yes—
210C3×C4×D5—42no—
211#1201—24no—
212#1200—22no—
213#1200—22no—
214#1200—42no—
215D3×Dic5—42no—
216D5×Dic3—42no—
217C3×C5×C8—21no—
218C3⋊#168—21no—
219C3×#168—21no—
220C5×C3⋊C8—21no—
221C2×D3×D4—51no—
222C22×C4×D3—101no—
223C3×#125—51no—
224C3×C4×D4—51no—
225D4×Dic3—51no—
226C4×#67—101no—
227C2×D3×C8—51no—
228C2×D3×C8—51no—
229#893C2×D511yescharacteristic
230D3×C4⋊C4—51no—
231D3×C4⋊C4—51no—
232D3×C4⋊C4—51no—
233D3×C4⋊C4—101no—
234D3×C4⋊C4—101no—
235#890—51no—
236#890C2×D511yescharacteristic, complemented
237#889—101no—
238#889—101no—
239#67⋊C4—101no—
240D3×C22⋊C4—101no—
241C4×D12—51no—
242C42×D3—51no—
243#870—51no—
244C3×#107C2×D511yescharacteristic, complemented
245C3×#106—51no—
246C3×C4⋊C8—51no—
247C3×#102—51no—
248C3×#102—51no—
249#832—51no—
250#832—51no—
251#821—51no—
252#821C2×D511yescharacteristic
253#818—51no—
254#817—51no—
255Dic3⋊C8—51no—
256Dic3⋊C8C2×D511yescharacteristic, complemented
257#809—51no—
258#809C2×D511yescharacteristic
259#808—51no—
260#808C2×D511yescharacteristic, complemented
261#807—51no—
262#807—51no—
263C4⋊(C3⋊C8)—51no—
264C23×D5—61no—
265C2×C5×D4—31no—
266C22×C4×C5—61no—
267C2×C22⋊D5—61no—
268C22×Dic5—61no—
269D4×D5—34no—
270D4×D5—62no—
271C2×D20C22×D311yescharacteristic
272C2×C4×D5—21no—
273C2×C4×D5—31no—
274C2×C4×D5—31no—
275C2×C4×D5—31no—
276C2×C4×D5—61no—
277C2×C4×D5—61no—
278C2×C4×D5—61no—
279C2×C4×D5—61no—
280C2×C4×D5—124no—
281C2×C5×C8—31no—
282C2×C5×C8C22×D311yescharacteristic
283C5×C4⋊C4—31no—
284C5×C4⋊C4—61no—
285C5×C4⋊C4—61no—
286C5×C4⋊C4C22×D311yescharacteristic
287C5×C4⋊C4C22×D311yescharacteristic
288C5×C22⋊C4—61no—
289C42×C5—31no—
290C22⋊Dic5—61no—
291#685—21no—
292#685—61no—
293C4⋊Dic5—21no—
294C4⋊Dic5—31no—
295C4⋊Dic5—31no—
296C4⋊Dic5—61no—
297C4⋊Dic5C22×D311yescharacteristic
298#683—21no—
299#683—61no—
300#683—61no—
301#683—61no—
302#683—61no—
303#683—61no—
304#683—61no—
305C4×Dic5—31no—
306C4×Dic5—31no—
307C4×Dic5C22×D311yescharacteristic
308C2×#168—31no—
309C2×#168C22×D311yescharacteristic
310C8×D5—62no—
311C8×D5—62no—
312C2×#125—151no—
313C2×C4×D4—151no—
314#478—31no—
315#478—51no—
316#478—151no—
317#478—151no—
318#478—151no—
319#478—151no—
320#478—151no—
321#478—151no—
322C2×#107—151no—
323C2×#106—151no—
324C2×C4⋊C8—151no—
325C2×#102—151no—
326C2×#102—151no—
327C22×C3×C5C22×D411yescharacteristic
328C2×D15C22⋊Q812yes—
329C2×D15#13512yes—
330C2×D15AGL(1,ℤ/8)12yes—
331C2×C5×D3—22no—
332C2×C5×D3—41no—
333C2×C5×D3—41no—
334C2×C3×D5—22no—
335C2×C3×D5—41no—
336C2×C3×D5—41no—
337D3×D5—48no—
338C3×C4×C5—41no—
339C3×C4×C5—41no—
340C3×C4×C5C22×Q811yescharacteristic
341C3×C4×C5C2×#4111yescharacteristic
342Dic15—41no—
343Dic15—41no—
344Dic15C22⋊Q812yes—
345C3×Dic5—21no—
346C3×Dic5—21no—
347C3×Dic5—41no—
348C5×Dic3—21no—
349C5×Dic3—21no—
350C5×Dic3—41no—
351C23×D3—101no—
352C2×C3×D4—51no—
353C22×C3×C4—101no—
354C2×#67—101no—
355C22×Dic3—101no—
356D3×D4—54no—
357D3×D4—102no—
358C2×D12C22×D511yescharacteristic
359C2×C4×D3—21no—
360C2×C4×D3—51no—
361C2×C4×D3—51no—
362C2×C4×D3—51no—
363C2×C4×D3—101no—
364C2×C4×D3—101no—
365C2×C4×D3—101no—
366C2×C4×D3—101no—
367C2×C4×D3—204no—
368C2×C3×C8—51no—
369C2×C3×C8C22×D511yescharacteristic
370C3×C4⋊C4—51no—
371C3×C4⋊C4—101no—
372C3×C4⋊C4—101no—
373C3×C4⋊C4C22×D511yescharacteristic
374C3×C4⋊C4C22×D511yescharacteristic
375C3×C22⋊C4—101no—
376C3×C42—51no—
377#217—101no—
378(C2×D3)⋊C4—21no—
379(C2×D3)⋊C4—101no—
380C4⋊Dic3—21no—
381C4⋊Dic3—51no—
382C4⋊Dic3—51no—
383C4⋊Dic3—101no—
384C4⋊Dic3C22×D511yescharacteristic
385Dic3⋊C4—21no—
386Dic3⋊C4—101no—
387Dic3⋊C4—101no—
388Dic3⋊C4—101no—
389Dic3⋊C4—101no—
390Dic3⋊C4—101no—
391Dic3⋊C4—101no—
392C4×Dic3—51no—
393C4×Dic3—51no—
394C4×Dic3C22×D511yescharacteristic
395C2×C3⋊C8—51no—
396C2×C3⋊C8C22×D511yescharacteristic
397D3×C8—102no—
398D3×C8—102no—
399C23×C5—61no—
400C22×D5—21no—
401C22×D5—31no—
402C22×D5—64no—
403C22×D5—122no—
404C22×D5—122no—
405C5×D4—32no—
406C5×D4—61no—
407C2×C4×C5—21no—
408C2×C4×C5—21no—
409C2×C4×C5—31no—
410C2×C4×C5—31no—
411C2×C4×C5—61no—
412C2×C4×C5—122no—
413C2×C4×C5C23×D311yescharacteristic
414C22⋊D5—64no—
415C2×Dic5—21no—
416C2×Dic5—31no—
417C2×Dic5—61no—
418C2×Dic5—61no—
419C2×Dic5—122no—
420C2×Dic5D3×D411yescharacteristic
421C2×Dic5D3×D411yescharacteristic
422D20—21no—
423D20D3×Q812yes—
424C4×D5—32no—
425C4×D5—32no—
426C4×D5—42no—
427C4×D5—62no—
428C4×D5—62no—
429C4×D5—122no—
430C4×D5—122no—
431C4×D5—122no—
432C4×D5—122no—
433C5×C8—21no—
434C5×C8—61no—
435#168—21no—
436#168—61no—
437C22×D4—151no—
438C23×C4—301no—
439C22×C8—151no—
440C22×C8—151no—
441#125—31no—
442#125—51no—
443#125—151no—
444#125—151no—
445#125—301no—
446#125—301no—
447C4×D4—31no—
448C4×D4—51no—
449C4×D4—151no—
450C4×D4—151no—
451C4×D4—301no—
452C4×D4—301no—
453C2×C4⋊C4—151no—
454C2×C4⋊C4—151no—
455C2×C4⋊C4—151no—
456C2×C4⋊C4—301no—
457C2×C4⋊C4—301no—
458C2×C22⋊C4—301no—
459C2×C42—151no—
460#107—151no—
461#107—151no—
462#107—151no—
463#107D3×D511yescharacteristic, complemented
464#106—31no—
465#106—51no—
466#106—151no—
467#106—151no—
468C4⋊C8—31no—
469C4⋊C8—51no—
470C4⋊C8—151no—
471C4⋊C8—151no—
472#102—31no—
473#102—31no—
474#102—51no—
475#102—51no—
476#102—151no—
477#102—151no—
478#102—151no—
479#102—151no—
480C2×C3×C5C2×C22⋊Q811yescharacteristic
481C2×C3×C5C2×#13511yescharacteristic
482C2×C3×C5C2×AGL(1,ℤ/8)11yescharacteristic
483D15#47814yescomplemented
484C3×D5—42no—
485C5×D3—42no—
486C23×C3—101no—
487C22×D3—21no—
488C22×D3—51no—
489C22×D3—104no—
490C22×D3—202no—
491C22×D3—202no—
492C3×D4—52no—
493C3×D4—101no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—51no—
497C2×C3×C4—51no—
498C2×C3×C4—101no—
499C2×C3×C4—202no—
500C2×C3×C4C23×D511yescharacteristic
501#67—104no—
502C2×Dic3—21no—
503C2×Dic3—51no—
504C2×Dic3—101no—
505C2×Dic3—101no—
506C2×Dic3—202no—
507C2×Dic3D4×D511yescharacteristic
508C2×Dic3D4×D511yescharacteristic
509D12—21no—
510D12Q8×D512yes—
511C4×D3—42no—
512C4×D3—52no—
513C4×D3—52no—
514C4×D3—102no—
515C4×D3—102no—
516C4×D3—202no—
517C4×D3—202no—
518C4×D3—202no—
519C4×D3—202no—
520C3×C8—21no—
521C3×C8—101no—
522C3⋊C8—21no—
523C3⋊C8—101no—
524C22×C5—62no—
525C22×C5—121no—
526C22×C5—121no—
527C22×C5C2×D3×D411yescharacteristic
528C2×D5—22no—
529C2×D5—32no—
530C2×D5—32no—
531C2×D5—32no—
532C2×D5—41no—
533C2×D5—41no—
534C2×D5—128no—
535C4×C5—41no—
536C4×C5—41no—
537C4×C5—61no—
538C4×C5—61no—
539C4×C5—121no—
540C4×C5C2×D3×Q811yescharacteristic
541C4×C5D3×#4111yescharacteristic
542Dic5—21no—
543Dic5—21no—
544Dic5—32no—
545Dic5—41no—
546Dic5—121no—
547Dic5—121no—
548C24—301no—
549C2×D4—31no—
550C2×D4—51no—
551C2×D4—154no—
552C2×D4—302no—
553C2×D4—301no—
554C22×C4—61no—
555C22×C4—101no—
556C22×C4—151no—
557C22×C4—151no—
558C22×C4—151no—
559C22×C4—301no—
560C22×C4—301no—
561C22×C4—301no—
562C22×C4—301no—
563C22×C4—301no—
564C22×C4—604no—
565C2×C8—31no—
566C2×C8—51no—
567C2×C8—151no—
568C2×C8—302no—
569C2×C8—302no—
570C2×C8C2×D3×D511yescharacteristic
571C4⋊C4—31no—
572C4⋊C4—51no—
573C4⋊C4—61no—
574C4⋊C4—61no—
575C4⋊C4—101no—
576C4⋊C4—101no—
577C4⋊C4—151no—
578C4⋊C4—151no—
579C4⋊C4—301no—
580C4⋊C4—301no—
581C4⋊C4—301no—
582C4⋊C4—301no—
583C4⋊C4—301no—
584C4⋊C4—301no—
585C4⋊C4—301no—
586C4⋊C4C2×D3×D511yescharacteristic
587C4⋊C4C2×D3×D511yescharacteristic
588C22⋊C4—61no—
589C22⋊C4—101no—
590C22⋊C4—301no—
591C22⋊C4—301no—
592C42—31no—
593C42—51no—
594C42—151no—
595C42—151no—
596C3×C5C2×#47811yescharacteristic, complemented, Hall
597C22×C3—102no—
598C22×C3—201no—
599C22×C3—201no—
600C22×C3C2×D4×D511yescharacteristic
601C2×D3—22no—
602C2×D3—41no—
603C2×D3—41no—
604C2×D3—52no—
605C2×D3—52no—
606C2×D3—52no—
607C2×D3—208no—
608C3×C4—41no—
609C3×C4—41no—
610C3×C4—101no—
611C3×C4—101no—
612C3×C4—201no—
613C3×C4C2×Q8×D511yescharacteristic
614C3×C4D5×#4111yescharacteristic
615Dic3—21no—
616Dic3—21no—
617Dic3—41no—
618Dic3—52no—
619Dic3—201no—
620Dic3—201no—
621C2×C5—122no—
622C2×C5D3×C22⋊Q811yescharacteristic
623C2×C5D3×#13511yescharacteristic
624C2×C5D3×AGL(1,ℤ/8)11yescharacteristic
625D5—34no—
626D5—42no—
627C23—61no—
628C23—101no—
629C23—151no—
630C23—304no—
631C23—602no—
632C23—602no—
633D4—32no—
634D4—52no—
635D4—61no—
636D4—101no—
637D4—304no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—31no—
641C2×C4—31no—
642C2×C4—51no—
643C2×C4—51no—
644C2×C4—61no—
645C2×C4—101no—
646C2×C4—122no—
647C2×C4—151no—
648C2×C4—152no—
649C2×C4—152no—
650C2×C4—202no—
651C2×C4—302no—
652C2×C4—302no—
653C2×C4—301no—
654C2×C4—301no—
655C2×C4—602no—
656C2×C4—602no—
657C2×C4—602no—
658C2×C4—602no—
659C2×C4—602no—
660C2×C4C22×D3×D511yescharacteristic
661C8—21no—
662C8—61no—
663C8—101no—
664C8—301no—
665C2×C3—202no—
666C2×C3D5×C22⋊Q811yescharacteristic
667C2×C3D5×#13511yescharacteristic
668C2×C3D5×AGL(1,ℤ/8)11yescharacteristic
669D3—42no—
670D3—54no—
671C5D3×#47811yescharacteristic, complemented, Sylow
672C22—62no—
673C22—102no—
674C22—121no—
675C22—121no—
676C22—152no—
677C22—152no—
678C22—152no—
679C22—201no—
680C22—201no—
681C22—608no—
682C22D3×D4×D511yescharacteristic
683C4—41no—
684C4—41no—
685C4—61no—
686C4—61no—
687C4—101no—
688C4—101no—
689C4—121no—
690C4—152no—
691C4—201no—
692C4—601no—
693C4—601no—
694C4#9201611yescharacteristic
695C4D3×Q8×D511yescharacteristic
696C3D5×#47811yescharacteristic, complemented, Sylow
697C2—122no—
698C2—154no—
699C2—202no—
700C2#1175386711yescharacteristic
701C2#1175404711yescharacteristic
702C2#1175410511yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#107C22
socleC22×C3×C5C22×D4
prime radicalC2×#6777C22
hypercenter#107D3×D5
hypocenterC3×C5C2×#478
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
2. #11753620C2semidirect
3. D15×#107C2semidirect
4. C5×#4891C2semidirect
5. C3×#65180C2semidirect
7. #11747783C2semidirect
8. #11747771C2semidirect
9. #11747585C2semidirect
11. #11747441C2semidirect
12. #11747394C2semidirect
13. #11747392C2semidirect
14. #11747249C2semidirect
15. #11747241C2semidirect
23. C5×#890C22semidirect
25. C3×#4036C22semidirect
35. #91388C22semidirect
36. #91381C22semidirect
40. C3×C5×#107C22semidirect
41. #91102C22semidirect
42. #91091C22semidirect
43. #91091C22semidirect
45. C5×Dic3⋊C8C22semidirect
47. C5×#808C22semidirect
49. C3×#3946C22semidirect
51. C3×#3940C22semidirect
52. #90987C22semidirect
53. #90985C22semidirect
54. Dic3⋊#168C22semidirect
55. #90982C22semidirect
66. #65180D3semidirect
129. #4891D5semidirect
154. #4036C2×D3semidirect
162. C5×#107C2×D3semidirect
174. #3946C2×D3semidirect
178. #3940C2×D3semidirect
236. #890C2×D5semidirect
244. C3×#107C2×D5semidirect
256. Dic3⋊C8C2×D5semidirect
260. #808C2×D5semidirect
463. #107D3×D5semidirect
483. D15#478semidirect
596. C3×C5C2×#478semidirect
671. C5D3×#478semidirect
696. C3D5×#478semidirect

Maximal subgroups

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

subgroupindex
#117538402
#117536202
D15×#1072
C5×#48912
C3×#651802
#117481082
#117477832
#117477712
#117475852
#117474782
#117474412
#117473942
#117473922
#117472492
#117472412
D5×#4783
D3×#4785