Finite Group Databasebeta

← D5×#4871 #14429997

Subgroups — D5×#4871 #14429997

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
1D5×#893C211yesmaximal, characteristic
2D5×#890C211yesmaximal, characteristic, complemented
3#11750972C211yesmaximal, characteristic, complemented
4C5×#4871C211yesmaximal, characteristic, complemented
5C3×D5×#106C211yesmaximal, characteristic, complemented
6D5×#821C211yesmaximal, characteristic
7#11747814C211yesmaximal, characteristic, complemented
8#11747797C211yesmaximal, characteristic, complemented
9D5×Dic3⋊C8C211yesmaximal, characteristic, complemented
10D5×#809C211yesmaximal, characteristic
11D5×#807C211yesmaximal, characteristic, complemented
12#11747394C211yesmaximal, characteristic, complemented
13#11747260C211yesmaximal, characteristic, complemented
14#11747252C211yesmaximal, characteristic, complemented
15#11747185C211yesmaximal, characteristic, complemented
16D5×#478—31nomaximal, Hall
17C2×D5×D12C2211yescharacteristic
18C2×C4×D3×D5—21no—
19#91782C2211yescharacteristic
20#91779C2211yescharacteristic, complemented
21C5×#893C2211yescharacteristic
22C5×#890C2211yescharacteristic, complemented
23C2×C3×C8×D5C2211yescharacteristic
24C3×D5×C4⋊C4C2211yescharacteristic
25C3×D5×C4⋊C4C2211yescharacteristic
26D5×(C2×D3)⋊C4—21no—
27#91446—21no—
28#91435C2211yescharacteristic
29#91428C2211yescharacteristic
30D5×C4⋊Dic3—21no—
31D5×C4⋊Dic3C2211yescharacteristic
32#91406—21no—
33D5×Dic3⋊C4—21no—
34C4×D5×Dic3C2211yescharacteristic
35#91384C2211yescharacteristic, complemented
36#91381C2211yescharacteristic, complemented
37#91335—21no—
38#91334—21no—
39C2×D5×C3⋊C8C2211yescharacteristic
40C3×C5×#106C2211yescharacteristic, complemented
41#91105C2211yescharacteristic
42#91098C2211yescharacteristic, complemented
43#91093C2211yescharacteristic
44#91091C2211yescharacteristic, complemented
45C5×#821C2211yescharacteristic
46C5×Dic3⋊C8C2211yescharacteristic, complemented
47C5×#809C2211yescharacteristic
48C5×#807C2211yescharacteristic, complemented
49C3×#3949C2211yescharacteristic, complemented
50C3×#3940C2211yescharacteristic, complemented
51C3×#3940C2211yescharacteristic, complemented
52#90990C2211yescharacteristic, complemented
53#90989C2211yescharacteristic, complemented
54Dic3⋊#168C2211yescharacteristic, complemented
55#90983C2211yescharacteristic, complemented
56#90969C2211yescharacteristic
57#90968C2211yescharacteristic
58#90967C2211yescharacteristic
59#90966C2211yescharacteristic
60C2×#4871—51nomaximal, Hall
61D5×#125—31no—
62C4×D4×D5—31no—
63C5×#478—31no—
64#65355—31no—
65#65298—31no—
66#65180—31no—
67D5×#107—31no—
68#65160—31no—
69D5×#106D311yescharacteristic, complemented
70#65136—31no—
71D5×C4⋊C8—31no—
72D5×#102—31no—
73D5×#102—31no—
74#65055—31no—
75#65052—31no—
76C22×D3×D5—21no—
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×C5×D12C2311yescharacteristic
80C2×C4×C5×D3—21no—
81C2×C3×C4×D5—21no—
82C2×C3×C4×D5—21no—
83C2×C3×C4×D5C2311yescharacteristic
84C2×#1203—21no—
85C2×#1200—21no—
86C2×D3×Dic5—21no—
87C2×D5×Dic3—21no—
88C2×D5×Dic3D411yescharacteristic
89C2×D5×Dic3D411yescharacteristic
90D5×D12—22no—
91D5×D12Q814yes—
92C4×D3×D5—44no—
93C2×C3×C5×C8C2311yescharacteristic
94C3×C5×C4⋊C4C2311yescharacteristic
95C3×C5×C4⋊C4C2311yescharacteristic
96#6714—21no—
97C4⋊Dic15—21no—
98C4⋊Dic15C2311yescharacteristic
99#6712—21no—
100C4×Dic15C2311yescharacteristic
101C2×C3⋊#168C2311yescharacteristic
102C5×(C2×D3)⋊C4—21no—
103C5×C4⋊Dic3—21no—
104C5×C4⋊Dic3C2311yescharacteristic
105C5×Dic3⋊C4—21no—
106C4×C5×Dic3C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C3×C4⋊Dic5C2311yescharacteristic
109C3×C4⋊Dic5C2311yescharacteristic
110C3×#683—21no—
111C3×#683—21no—
112C2×C3×#168C2311yescharacteristic
113C3×C8×D5—22no—
114Dic3⋊Dic5—21no—
115#6669—21no—
116#6668—21no—
117#6668—21no—
118#6668—21no—
119#6667—21no—
120(C2×D3)⋊Dic5—21no—
121Dic3×Dic5D411yescharacteristic
122Dic3×Dic5D411yescharacteristic
123D5×C3⋊C8—22no—
124C2×#893—51no—
125C2×#890—51no—
126C2×C3×#106—51no—
127C2×#821—51no—
128C2×Dic3⋊C8—51no—
129C2×#809—51no—
130C2×#807—51no—
131#4871—51no—
132#4871—51no—
133#4871—51no—
134#4871—51no—
135#4871—51no—
136#4871—51no—
137#4871—51no—
138#4871D511yescharacteristic, direct product factor
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×D5C2×D311yescharacteristic
147#4039—31no—
148D5×C4⋊C4—31no—
149D5×C4⋊C4—61no—
150D5×C4⋊C4—61no—
151D5×C4⋊C4C2×D311yescharacteristic
152D5×C4⋊C4C2×D311yescharacteristic
153#4036—31no—
154#4036—31no—
155#4035—61no—
156#4035—61no—
157#4027—61no—
158D5×C22⋊C4—61no—
159C4×D20—31no—
160C42×D5—31no—
161#4016—31no—
162C5×#107—31no—
163C5×#106C2×D311yescharacteristic, complemented
164C5×C4⋊C8—31no—
165C5×#102—31no—
166C5×#102—31no—
167#3964—31no—
168#3964—31no—
169#3953—31no—
170#3953—31no—
171#3950—31no—
172#3949C2×D311yescharacteristic, complemented
173#3946—31no—
174#3946—31no—
175#3941—31no—
176#3941—31no—
177#3940C2×D311yescharacteristic, complemented
178#3940C2×D311yescharacteristic, complemented
179#3939—31no—
180#3939—31no—
181C4⋊#168—31no—
182C2×#478—151noSylow
183C22×D15—21no—
184C22×C5×D3—21no—
185C22×C3×D5C2×D411yescharacteristic
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×Dic15C2×D411yescharacteristic
194C2×Dic15C2×D411yescharacteristic
195D60—21no—
196D60C2×Q812yes—
197C4×D15—42no—
198C2×C5×Dic3—21no—
199C2×C5×Dic3C2×D411yescharacteristic
200C2×C5×Dic3C2×D411yescharacteristic
201C5×D12—21no—
202C5×D12C2×Q812yes—
203C4×C5×D3—42no—
204C2×C3×Dic5—21no—
205C2×C3×Dic5—21no—
206C2×C3×Dic5C2×D411yescharacteristic
207C3×C4×D5—42no—
208C3×C4×D5—42no—
209C3×C4×D5C2×Q812yes—
210C3×C4×D5#4112yes—
211#1203—24no—
212#1200—42no—
213D3×Dic5—42no—
214D5×Dic3—22no—
215D5×Dic3—22no—
216D5×Dic3—42no—
217C3×C5×C8—21no—
218C3⋊#168—21no—
219C3×#168—21no—
220C5×C3⋊C8—21no—
221C22×D12—51no—
222C22×C4×D3—101no—
223C22×C3×C8—51no—
224C2×C3×C4⋊C4—51no—
225C2×C3×C4⋊C4—51no—
226C2×(C2×D3)⋊C4—101no—
227C2×C4⋊Dic3—51no—
228C2×C4⋊Dic3—101no—
229C2×Dic3⋊C4—101no—
230C2×C4×Dic3—51no—
231C22×C3⋊C8—51no—
232#893—51no—
233#893—51no—
234#893—51no—
235#893—101no—
236#893—101no—
237#893C2×D511yescharacteristic
238#890—51no—
239#890—51no—
240#890—51no—
241#890—101no—
242#890—101no—
243#890C2×D511yescharacteristic, complemented
244C3×#106—51no—
245C3×#106—51no—
246C3×#106—51no—
247C3×#106C2×D511yescharacteristic, complemented
248#821—51no—
249#821—51no—
250#821—51no—
251#821C2×D511yescharacteristic
252Dic3⋊C8—51no—
253Dic3⋊C8—51no—
254Dic3⋊C8—51no—
255Dic3⋊C8C2×D511yescharacteristic, complemented
256#809—51no—
257#809—51no—
258#809—51no—
259#809C2×D511yescharacteristic
260#807—51no—
261#807—51no—
262#807—51no—
263#807C2×D511yescharacteristic, complemented
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×D20—31no—
272C2×C4×D5—21no—
273C2×C4×D5—21no—
274C2×C4×D5—31no—
275C2×C4×D5—31no—
276C2×C4×D5—61no—
277C2×C4×D5—61no—
278C2×C4×D5—61no—
279C2×C4×D5—124no—
280C2×C4×D5C22×D311yescharacteristic
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—61no—
292#685—61no—
293C4⋊Dic5—31no—
294C4⋊Dic5—61no—
295C4⋊Dic5—61no—
296C4⋊Dic5C22×D311yescharacteristic
297C4⋊Dic5C22×D311yescharacteristic
298#683—21no—
299#683—21no—
300#683—61no—
301#683—61no—
302#683—61no—
303#683—61no—
304#683—61no—
305C4×Dic5—31no—
306C4×Dic5—31no—
307C4×Dic5—31no—
308C2×#168—31no—
309C2×#168C22×D311yescharacteristic
310C8×D5—22no—
311C8×D5—62no—
312C2×#125—151no—
313C2×C4×D4—151no—
314#478—31no—
315#478—151no—
316#478—151no—
317#478—151no—
318#478—151no—
319#478—151no—
320#478—151no—
321#478—151no—
322C2×#107—151no—
323C2×#106—51no—
324C2×C4⋊C8—151no—
325C2×#102—151no—
326C2×#102—151no—
327C22×C3×C5C22×D411yescharacteristic
328C2×D15—22no—
329C2×D15—41no—
330C2×D15—41no—
331C2×C5×D3—22no—
332C2×C5×D3—41no—
333C2×C5×D3—41no—
334C2×C3×D5C22⋊Q812yes—
335C2×C3×D5#13512yes—
336C2×C3×D5AGL(1,ℤ/8)12yes—
337D3×D5—48no—
338C3×C4×C5—41no—
339C3×C4×C5—41no—
340C3×C4×C5C22×Q811yescharacteristic
341C3×C4×C5C2×#4111yescharacteristic
342Dic15—21no—
343Dic15—21no—
344Dic15—41no—
345C3×Dic5—41no—
346C3×Dic5—41no—
347C3×Dic5C22⋊Q812yes—
348C5×Dic3—21no—
349C5×Dic3—21no—
350C5×Dic3—41no—
351C23×D3—101no—
352C22×C3×C4—51no—
353C22×C3×C4—101no—
354C22×C3×C4—101no—
355C22×Dic3—51no—
356C22×Dic3—51no—
357C22×Dic3—101no—
358C2×D12—51no—
359C2×D12—54no—
360C2×D12—102no—
361C2×D12—101no—
362C2×D12C22×D511yescharacteristic
363C2×C4×D3—21no—
364C2×C4×D3—101no—
365C2×C4×D3—101no—
366C2×C4×D3—101no—
367C2×C4×D3—204no—
368C2×C3×C8—51no—
369C2×C3×C8—102no—
370C2×C3×C8C22×D511yescharacteristic
371C3×C4⋊C4—51no—
372C3×C4⋊C4—51no—
373C3×C4⋊C4—101no—
374C3×C4⋊C4—101no—
375C3×C4⋊C4C22×D511yescharacteristic
376C3×C4⋊C4C22×D511yescharacteristic
377(C2×D3)⋊C4—21no—
378(C2×D3)⋊C4—101no—
379(C2×D3)⋊C4—101no—
380(C2×D3)⋊C4—101no—
381C4⋊Dic3—21no—
382C4⋊Dic3—51no—
383C4⋊Dic3—101no—
384C4⋊Dic3—101no—
385C4⋊Dic3—101no—
386C4⋊Dic3—101no—
387C4⋊Dic3C22×D511yescharacteristic
388Dic3⋊C4—21no—
389Dic3⋊C4—101no—
390Dic3⋊C4—101no—
391Dic3⋊C4—101no—
392C4×Dic3—51no—
393C4×Dic3—51no—
394C4×Dic3—51no—
395C4×Dic3C22×D511yescharacteristic
396C2×C3⋊C8—51no—
397C2×C3⋊C8—102no—
398C2×C3⋊C8C22×D511yescharacteristic
399C23×C5—61no—
400C22×D5—61no—
401C22×D5—64no—
402C22×D5—122no—
403C22×D5—122no—
404C22×D5D3×D411yescharacteristic
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—21no—
417C2×Dic5—31no—
418C2×Dic5—31no—
419C2×Dic5—61no—
420C2×Dic5—122no—
421C2×Dic5D3×D411yescharacteristic
422D20—32no—
423D20—61no—
424C4×D5—42no—
425C4×D5—42no—
426C4×D5—62no—
427C4×D5—62no—
428C4×D5—122no—
429C4×D5—122no—
430C4×D5—122no—
431C4×D5#23512yes—
432C4×D5D3×Q812yes—
433C5×C8—21no—
434C5×C8—61no—
435#168—21no—
436#168—61no—
437C22×D4—151no—
438C23×C4—301no—
439C22×C8—51no—
440C22×C8—151no—
441#125—31no—
442#125—151no—
443#125—151no—
444#125—151no—
445#125—301no—
446#125—301no—
447C4×D4—31no—
448C4×D4—151no—
449C4×D4—151no—
450C4×D4—151no—
451C4×D4—301no—
452C4×D4—301no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—51no—
455C2×C4⋊C4—151no—
456C2×C4⋊C4—301no—
457C2×C4⋊C4—301no—
458C2×C22⋊C4—301no—
459C2×C42—151no—
460#107—31no—
461#107—151no—
462#107—151no—
463#107—151no—
464#106—51no—
465#106—51no—
466#106—51no—
467#106D3×D511yescharacteristic, complemented
468C4⋊C8—31no—
469C4⋊C8—151no—
470C4⋊C8—151no—
471C4⋊C8—151no—
472#102—31no—
473#102—31no—
474#102—151no—
475#102—151no—
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—42no—
484C3×D5#47814yescomplemented
485C5×D3—42no—
486C23×C3—51no—
487C22×D3—21no—
488C22×D3—104no—
489C22×D3—101no—
490C22×D3—202no—
491C22×D3—202no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—51no—
495C2×C3×C4—52no—
496C2×C3×C4—52no—
497C2×C3×C4—101no—
498C2×C3×C4—101no—
499C2×C3×C4—202no—
500C2×C3×C4—202no—
501C2×C3×C4C23×D511yescharacteristic
502C2×Dic3—21no—
503C2×Dic3—51no—
504C2×Dic3—51no—
505C2×Dic3—102no—
506C2×Dic3—102no—
507C2×Dic3—101no—
508C2×Dic3—202no—
509C2×Dic3D4×D511yescharacteristic
510C2×Dic3D4×D511yescharacteristic
511D12—21no—
512D12—52no—
513D12—104no—
514D12—101no—
515D12Q8×D512yes—
516C4×D3—42no—
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—62no—
529C2×D5—121no—
530C2×D5—121no—
531C2×D5—128no—
532C2×D5#89612yes—
533C2×D5#91412yes—
534C2×D5#91612yes—
535C4×C5—41no—
536C4×C5—41no—
537C4×C5—61no—
538C4×C5—61no—
539C4×C5—121no—
540C4×C5C2×#23511yescharacteristic
541C4×C5C2×D3×Q811yescharacteristic
542Dic5—41no—
543Dic5—41no—
544Dic5—61no—
545Dic5—61no—
546Dic5—121no—
547Dic5#89612yes—
548C24—301no—
549C2×D4—31no—
550C2×D4—154no—
551C2×D4—151no—
552C2×D4—302no—
553C2×D4—301no—
554C22×C4—51no—
555C22×C4—61no—
556C22×C4—101no—
557C22×C4—101no—
558C22×C4—151no—
559C22×C4—151no—
560C22×C4—301no—
561C22×C4—301no—
562C22×C4—301no—
563C22×C4—301no—
564C22×C4—604no—
565C2×C8—31no—
566C2×C8—51no—
567C2×C8—102no—
568C2×C8—151no—
569C2×C8—302no—
570C2×C8C2×D3×D511yescharacteristic
571C4⋊C4—31no—
572C4⋊C4—51no—
573C4⋊C4—51no—
574C4⋊C4—61no—
575C4⋊C4—61no—
576C4⋊C4—101no—
577C4⋊C4—101no—
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—301no—
590C22⋊C4—301no—
591C22⋊C4—301no—
592C42—31no—
593C42—151no—
594C42—151no—
595C42—151no—
596C3×C5C2×#47811yescharacteristic, complemented, Hall
597C22×C3—52no—
598C22×C3—52no—
599C22×C3—52no—
600C22×C3C2×D4×D511yescharacteristic
601C2×D3—22no—
602C2×D3—41no—
603C2×D3—41no—
604C2×D3—102no—
605C2×D3—208no—
606C2×D3—201no—
607C2×D3—201no—
608C3×C4—41no—
609C3×C4—41no—
610C3×C4—52no—
611C3×C4—201no—
612C3×C4—201no—
613C3×C4C2×Q8×D511yescharacteristic
614C3×C4D5×#4111yescharacteristic
615Dic3—21no—
616Dic3—21no—
617Dic3—41no—
618Dic3—101no—
619Dic3—101no—
620Dic3—201no—
621C2×C5—122no—
622C2×C5C2×#89611yescharacteristic
623C2×C5C2×#91411yescharacteristic
624C2×C5C2×#91611yescharacteristic
625D5—122no—
626D5#487114yesdirect product factor
627C23—51no—
628C23—61no—
629C23—304no—
630C23—301no—
631C23—602no—
632C23—602no—
633D4—32no—
634D4—61no—
635D4—152no—
636D4—304no—
637D4—301no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—31no—
641C2×C4—31no—
642C2×C4—51no—
643C2×C4—52no—
644C2×C4—52no—
645C2×C4—61no—
646C2×C4—101no—
647C2×C4—101no—
648C2×C4—122no—
649C2×C4—151no—
650C2×C4—151no—
651C2×C4—202no—
652C2×C4—202no—
653C2×C4—302no—
654C2×C4—302no—
655C2×C4—301no—
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—54no—
666C2×C3D5×C22⋊Q811yescharacteristic
667C2×C3D5×#13511yescharacteristic
668C2×C3D5×AGL(1,ℤ/8)11yescharacteristic
669D3—42no—
670D3—202no—
671C5C2×#487111yescharacteristic, complemented, Sylow
672C22—52no—
673C22—52no—
674C22—52no—
675C22—62no—
676C22—121no—
677C22—121no—
678C22—302no—
679C22—608no—
680C22—601no—
681C22—601no—
682C22D3×D4×D511yescharacteristic
683C4—41no—
684C4—41no—
685C4—52no—
686C4—61no—
687C4—61no—
688C4—121no—
689C4—201no—
690C4—201no—
691C4—301no—
692C4—301no—
693C4—601no—
694C4D5×#23511yescharacteristic
695C4D3×Q8×D511yescharacteristic
696C3D5×#47811yescharacteristic, complemented, Sylow
697C2—54no—
698C2—122no—
699C2—602no—
700C2D5×#89611yescharacteristic
701C2D5×#91411yescharacteristic
702C2D5×#91611yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#106C22
socleC22×C3×C5C22×D4
prime radicalC2×D5×D12C22
hypercenter#106D3×D5
hypocenterC3×C5C2×#478
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
2. D5×#890C2semidirect
3. #11750972C2semidirect
4. C5×#4871C2semidirect
5. C3×D5×#106C2semidirect
7. #11747814C2semidirect
8. #11747797C2semidirect
9. D5×Dic3⋊C8C2semidirect
11. D5×#807C2semidirect
12. #11747394C2semidirect
13. #11747260C2semidirect
14. #11747252C2semidirect
15. #11747185C2semidirect
20. #91779C22semidirect
22. C5×#890C22semidirect
35. #91384C22semidirect
36. #91381C22semidirect
40. C3×C5×#106C22semidirect
42. #91098C22semidirect
44. #91091C22semidirect
46. C5×Dic3⋊C8C22semidirect
48. C5×#807C22semidirect
49. C3×#3949C22semidirect
50. C3×#3940C22semidirect
51. C3×#3940C22semidirect
52. #90990C22semidirect
53. #90989C22semidirect
54. Dic3⋊#168C22semidirect
55. #90983C22semidirect
69. D5×#106D3semidirect
138. #4871D5direct (N × H)
163. C5×#106C2×D3semidirect
172. #3949C2×D3semidirect
177. #3940C2×D3semidirect
178. #3940C2×D3semidirect
243. #890C2×D5semidirect
247. C3×#106C2×D5semidirect
255. Dic3⋊C8C2×D5semidirect
263. #807C2×D5semidirect
467. #106D3×D5semidirect
484. C3×D5#478semidirect
596. C3×C5C2×#478semidirect
626. D5#4871direct (N × H)
671. C5C2×#4871semidirect
696. C3D5×#478semidirect

Maximal subgroups

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

subgroupindex
D5×#8932
D5×#8902
#117509722
C5×#48712
C3×D5×#1062
D5×#8212
#117478142
#117477972
D5×Dic3⋊C82
D5×#8092
D5×#8072
#117473942
#117472602
#117472522
#117471852
D5×#4783
C2×#48715