Finite Group Databasebeta

← D5×#4890 #14429856

Subgroups — D5×#4890 #14429856

Order 1920.

960 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D5×#893C211yesmaximal, characteristic
2D5×#888C211yesmaximal, characteristic, complemented
3#11750991C211yesmaximal, characteristic, complemented
4C5×#4890C211yesmaximal, characteristic, complemented
5C3×D5×#107C211yesmaximal, characteristic, complemented
6D5×#821C211yesmaximal, characteristic
7#11747811C211yesmaximal, characteristic, complemented
8#11747794C211yesmaximal, characteristic, complemented
9D5×Dic3⋊C8C211yesmaximal, characteristic, complemented
10D5×#809C211yesmaximal, characteristic
11D5×#807C211yesmaximal, characteristic, complemented
12#11747416C211yesmaximal, characteristic, complemented
13#11747254C211yesmaximal, characteristic, complemented
14#11747246C211yesmaximal, characteristic, complemented
15#11747180C211yesmaximal, characteristic, complemented
16D5×#474—31nomaximal, Hall
17C2×D5×D12C2211yescharacteristic
18C2×C4×D3×D5—21no—
19C2×D5×Dic6—21no—
20#91782C2211yescharacteristic
21#91777C2211yescharacteristic, complemented
22C5×#893C2211yescharacteristic
23C5×#888C2211yescharacteristic, complemented
24C2×C3×C8×D5C2211yescharacteristic
25C3×D5×C4⋊C4C2211yescharacteristic
26C3×D5×C4⋊C4C2211yescharacteristic
27D5×(C2×D3)⋊C4—21no—
28#91470C2211yescharacteristic, complemented
29#91469C2211yescharacteristic, complemented
30#91446—21no—
31#91435C2211yescharacteristic
32#91428C2211yescharacteristic
33D5×C4⋊Dic3C2211yescharacteristic
34#91406—21no—
35D5×Dic3⋊C4—21no—
36C4×D5×Dic3C2211yescharacteristic
37#91329—21no—
38#91328—21no—
39C2×D5×C3⋊C8C2211yescharacteristic
40C3×C5×#107C2211yescharacteristic, complemented
41#91105C2211yescharacteristic
42#91098C2211yescharacteristic, complemented
43#91093C2211yescharacteristic
44#91091C2211yescharacteristic, complemented
45C5×#821C2211yescharacteristic
46C5×Dic3⋊C8C2211yescharacteristic, complemented
47C5×#809C2211yescharacteristic
48C5×#807C2211yescharacteristic, complemented
49C3×#3950C2211yescharacteristic, complemented
50C3×#3939C2211yescharacteristic, complemented
51C3×#3939C2211yescharacteristic, complemented
52#90990C2211yescharacteristic, complemented
53#90989C2211yescharacteristic, complemented
54Dic3⋊#168C2211yescharacteristic, complemented
55#90983C2211yescharacteristic, complemented
56#90969C2211yescharacteristic
57#90968C2211yescharacteristic
58#90967C2211yescharacteristic
59#90966C2211yescharacteristic
60C2×#4890—51nomaximal, Hall
61D5×C4⋊Q8—31no—
62C4×D4×D5—31no—
63C5×#474—31no—
64#65376—31no—
65#65296—31no—
66#65179—31no—
67#65179—31no—
68D5×#107—31no—
69D5×#107D311yescharacteristic, complemented
70#65135—31no—
71D5×C4⋊C8—31no—
72D5×#102—31no—
73D5×#102—31no—
74#65048—31no—
75#65048—31no—
76C22×D3×D5—21no—
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×Dic30—21no—
80C2×C5×D12C2311yescharacteristic
81C2×C4×C5×D3—21no—
82C2×C5×Dic6—21no—
83C2×C3×C4×D5—21no—
84C2×C3×C4×D5—21no—
85C2×C3×C4×D5C2311yescharacteristic
86C2×#1204—21no—
87C2×#1204—21no—
88C2×#1203—21no—
89C2×#1200—21no—
90C2×D3×Dic5—21no—
91C2×D5×Dic3—21no—
92C2×D5×Dic3D411yescharacteristic
93C2×D5×Dic3D411yescharacteristic
94D5×D12—22no—
95D5×D12Q814yescomplemented
96C4×D3×D5—44no—
97D5×Dic6—44no—
98C2×C3×C5×C8C2311yescharacteristic
99C3×C5×C4⋊C4C2311yescharacteristic
100C3×C5×C4⋊C4C2311yescharacteristic
101#6714—21no—
102C4⋊Dic15C2311yescharacteristic
103#6712—21no—
104C4×Dic15C2311yescharacteristic
105C2×C3⋊#168C2311yescharacteristic
106C5×(C2×D3)⋊C4—21no—
107C5×C4⋊Dic3C2311yescharacteristic
108C5×Dic3⋊C4—21no—
109C4×C5×Dic3C2311yescharacteristic
110C2×C5×C3⋊C8C2311yescharacteristic
111C3×C4⋊Dic5C2311yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C3×#683—21no—
115C2×C3×#168C2311yescharacteristic
116C3×C8×D5—22no—
117Dic3⋊Dic5—21no—
118#6669—21no—
119#6668—21no—
120#6667—21no—
121(C2×D3)⋊Dic5—21no—
122Dic3×Dic5D411yescharacteristic
123Dic3×Dic5D411yescharacteristic
124D5×C3⋊C8—22no—
125C2×#893—51no—
126C2×#888—51no—
127C2×C3×#107—51no—
128C2×#821—51no—
129C2×Dic3⋊C8—51no—
130C2×#809—51no—
131C2×#807—51no—
132#4890—51no—
133#4890—51no—
134#4890—51no—
135#4890—51no—
136#4890—51no—
137#4890—51no—
138#4890—51no—
139#4890D511yescharacteristic, direct product factor
140C2×Q8×D5—61no—
141C2×D4×D5—31no—
142C22×C4×D5—61no—
143C5×C4⋊Q8—31no—
144C4×C5×D4—31no—
145#4090—61no—
146D4×Dic5—31no—
147C4×C22⋊D5—61no—
148C2×C8×D5—31no—
149C2×C8×D5C2×D311yescharacteristic
150#4039—31no—
151D5×C4⋊C4—31no—
152D5×C4⋊C4—61no—
153D5×C4⋊C4C2×D311yescharacteristic
154D5×C4⋊C4C2×D311yescharacteristic
155#4034—31no—
156#4034—31no—
157#4034—61no—
158#4027—61no—
159D5×C22⋊C4—61no—
160C4×D20—31no—
161C42×D5—31no—
162#4015—31no—
163C5×#107—31no—
164C5×#107C2×D311yescharacteristic, complemented
165C5×C4⋊C8—31no—
166C5×#102—31no—
167C5×#102—31no—
168#3964—31no—
169#3964—31no—
170#3953—31no—
171#3953—31no—
172#3950—31no—
173#3950C2×D311yescharacteristic, complemented
174#3946—31no—
175#3946—31no—
176#3941—31no—
177#3941—31no—
178#3939—31no—
179#3939—31no—
180#3939C2×D311yescharacteristic, complemented
181#3939C2×D311yescharacteristic, complemented
182C4⋊#168—31no—
183C2×#474—151noSylow
184C22×D15—21no—
185C22×C5×D3—21no—
186C22×C3×D5C2×D411yescharacteristic
187C2×D3×D5—24no—
188C2×D3×D5—42no—
189C2×D3×D5—42no—
190C2×C3×C4×C5—21no—
191C2×C3×C4×C5—21no—
192C2×C3×C4×C5C2411yescharacteristic
193C2×Dic15—21no—
194C2×Dic15C2×D411yescharacteristic
195C2×Dic15C2×D411yescharacteristic
196D60—21no—
197D60C2×Q812yescomplemented
198C4×D15—42no—
199Dic30—42no—
200C2×C5×Dic3—21no—
201C2×C5×Dic3C2×D411yescharacteristic
202C2×C5×Dic3C2×D411yescharacteristic
203C5×D12—21no—
204C5×D12C2×Q812yescomplemented
205C4×C5×D3—42no—
206C5×Dic6—42no—
207C2×C3×Dic5—21no—
208C2×C3×Dic5—21no—
209C2×C3×Dic5C2×D411yescharacteristic
210C3×C4×D5—42no—
211C3×C4×D5—42no—
212C3×C4×D5C2×Q812yes—
213C3×C4×D5#4112yes—
214#1204—42no—
215#1204—42no—
216#1203—24no—
217#1200—42no—
218D3×Dic5—42no—
219D5×Dic3—22no—
220D5×Dic3—42no—
221D5×Dic3D814yes—
222C3×C5×C8—21no—
223C3⋊#168—21no—
224C3×#168—21no—
225C5×C3⋊C8—21no—
226C22×D12—51no—
227C22×C4×D3—101no—
228C22×Dic6—101no—
229C22×C3×C8—51no—
230C2×C3×C4⋊C4—51no—
231C2×C3×C4⋊C4—51no—
232C2×(C2×D3)⋊C4—101no—
233C2×C4⋊Dic3—51no—
234C2×Dic3⋊C4—101no—
235C2×C4×Dic3—51no—
236C22×C3⋊C8—51no—
237#893—51no—
238#893—51no—
239#893—51no—
240#893—101no—
241#893—101no—
242#893C2×D511yescharacteristic
243#888—51no—
244#888—51no—
245#888—51no—
246#888—101no—
247#888—101no—
248#888C2×D511yescharacteristic, complemented
249C3×#107—51no—
250C3×#107—51no—
251C3×#107—51no—
252C3×#107C2×D511yescharacteristic, complemented
253#821—51no—
254#821—51no—
255#821—51no—
256#821C2×D511yescharacteristic
257Dic3⋊C8—51no—
258Dic3⋊C8—51no—
259Dic3⋊C8—51no—
260Dic3⋊C8C2×D511yescharacteristic, complemented
261#809—51no—
262#809—51no—
263#809—51no—
264#809C2×D511yescharacteristic
265#807—51no—
266#807—51no—
267#807—51no—
268#807C2×D511yescharacteristic, complemented
269C23×D5—61no—
270C2×C5×Q8—61no—
271C2×C5×D4—31no—
272C22×C4×C5—61no—
273C2×C22⋊D5—61no—
274C22×Dic5—61no—
275Q8×D5—124no—
276D4×D5—34no—
277D4×D5—62no—
278C2×D20—31no—
279C2×C4×D5—21no—
280C2×C4×D5—21no—
281C2×C4×D5—31no—
282C2×C4×D5—31no—
283C2×C4×D5—61no—
284C2×C4×D5—61no—
285C2×C4×D5—61no—
286C2×C4×D5—124no—
287C2×C4×D5C22×D311yescharacteristic
288C2×Dic10—61no—
289C2×Dic10—61no—
290C2×Dic10—61no—
291C2×C5×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4—61no—
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C4⋊C4C22×D311yescharacteristic
297C5×C22⋊C4—61no—
298C42×C5—31no—
299C22⋊Dic5—61no—
300#685—61no—
301#685—61no—
302C4⋊Dic5—31no—
303C4⋊Dic5—61no—
304C4⋊Dic5C22×D311yescharacteristic
305C4⋊Dic5C22×D311yescharacteristic
306#683—21no—
307#683—21no—
308#683—61no—
309#683—61no—
310#683—61no—
311C4×Dic5—31no—
312C4×Dic5—31no—
313C4×Dic5—31no—
314C2×#168—31no—
315C2×#168C22×D311yescharacteristic
316C8×D5—22no—
317C8×D5—62no—
318C2×C4⋊Q8—151no—
319C2×C4×D4—151no—
320#474—31no—
321#474—151no—
322#474—151no—
323#474—151no—
324#474—151no—
325#474—151no—
326#474—151no—
327#474—151no—
328C2×#107—51no—
329C2×#107—151no—
330C2×C4⋊C8—151no—
331C2×#102—151no—
332C2×#102—151no—
333C22×C3×C5C22×D411yescharacteristic
334C2×D15—22no—
335C2×D15—41no—
336C2×D15—41no—
337C2×C5×D3—22no—
338C2×C5×D3—41no—
339C2×C5×D3—41no—
340C2×C3×D5C22⋊Q812yes—
341C2×C3×D5C2×D812yes—
342C2×C3×D5#13712yes—
343D3×D5—48no—
344C3×C4×C5—41no—
345C3×C4×C5—41no—
346C3×C4×C5C22×Q811yescharacteristic
347C3×C4×C5C2×#4111yescharacteristic
348Dic15—21no—
349Dic15—41no—
350Dic15C2×D812yes—
351C3×Dic5—41no—
352C3×Dic5—41no—
353C3×Dic5C22⋊Q812yes—
354C5×Dic3—21no—
355C5×Dic3—41no—
356C5×Dic3C2×D812yes—
357C23×D3—101no—
358C22×C3×C4—51no—
359C22×C3×C4—101no—
360C22×C3×C4—101no—
361C22×Dic3—51no—
362C22×Dic3—51no—
363C22×Dic3—101no—
364C2×D12—51no—
365C2×D12—54no—
366C2×D12—102no—
367C2×D12—101no—
368C2×D12C22×D511yescharacteristic
369C2×C4×D3—21no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×C4×D3—101no—
373C2×C4×D3—204no—
374C2×Dic6—21no—
375C2×Dic6—101no—
376C2×Dic6—101no—
377C2×Dic6—101no—
378C2×Dic6—204no—
379C2×C3×C8—51no—
380C2×C3×C8—102no—
381C2×C3×C8C22×D511yescharacteristic
382C3×C4⋊C4—51no—
383C3×C4⋊C4—51no—
384C3×C4⋊C4—101no—
385C3×C4⋊C4—101no—
386C3×C4⋊C4C22×D511yescharacteristic
387C3×C4⋊C4C22×D511yescharacteristic
388(C2×D3)⋊C4—21no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392C4⋊Dic3—51no—
393C4⋊Dic3—101no—
394C4⋊Dic3C22×D511yescharacteristic
395Dic3⋊C4—21no—
396Dic3⋊C4—101no—
397Dic3⋊C4—101no—
398Dic3⋊C4—101no—
399C4×Dic3—51no—
400C4×Dic3—51no—
401C4×Dic3—51no—
402C4×Dic3C22×D511yescharacteristic
403C2×C3⋊C8—51no—
404C2×C3⋊C8—102no—
405C2×C3⋊C8C22×D511yescharacteristic
406C23×C5—61no—
407C22×D5—61no—
408C22×D5—64no—
409C22×D5—122no—
410C22×D5—122no—
411C22×D5D3×D411yescharacteristic
412C5×Q8—122no—
413C5×D4—32no—
414C5×D4—61no—
415C2×C4×C5—21no—
416C2×C4×C5—21no—
417C2×C4×C5—31no—
418C2×C4×C5—31no—
419C2×C4×C5—61no—
420C2×C4×C5—122no—
421C2×C4×C5C23×D311yescharacteristic
422C22⋊D5—64no—
423C2×Dic5—21no—
424C2×Dic5—21no—
425C2×Dic5—31no—
426C2×Dic5—31no—
427C2×Dic5—61no—
428C2×Dic5—122no—
429C2×Dic5D3×D411yescharacteristic
430D20—32no—
431D20—61no—
432C4×D5—34no—
433C4×D5—42no—
434C4×D5—42no—
435C4×D5—62no—
436C4×D5—122no—
437C4×D5—122no—
438C4×D5—122no—
439C4×D5#23512yes—
440C4×D5D3×Q812yes—
441Dic10—122no—
442Dic10—122no—
443Dic10—122no—
444C5×C8—21no—
445C5×C8—61no—
446#168—21no—
447#168—61no—
448C22×Q8—301no—
449C22×D4—151no—
450C23×C4—301no—
451C22×C8—51no—
452C22×C8—151no—
453C4⋊Q8—31no—
454C4⋊Q8—151no—
455C4⋊Q8—151no—
456C4⋊Q8—151no—
457C4⋊Q8—301no—
458C4⋊Q8—301no—
459C4×D4—31no—
460C4×D4—151no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—301no—
464C4×D4—301no—
465C2×C4⋊C4—51no—
466C2×C4⋊C4—51no—
467C2×C4⋊C4—151no—
468C2×C4⋊C4—301no—
469C2×C22⋊C4—301no—
470C2×C42—151no—
471#107—31no—
472#107—51no—
473#107—51no—
474#107—51no—
475#107—151no—
476#107—151no—
477#107—151no—
478#107D3×D511yescharacteristic, complemented
479C4⋊C8—31no—
480C4⋊C8—151no—
481C4⋊C8—151no—
482C4⋊C8—151no—
483#102—31no—
484#102—31no—
485#102—151no—
486#102—151no—
487#102—151no—
488#102—151no—
489#102—151no—
490#102—151no—
491C2×C3×C5C2×C22⋊Q811yescharacteristic
492C2×C3×C5C22×D811yescharacteristic
493C2×C3×C5C2×#13711yescharacteristic
494D15—42no—
495C3×D5#47414yescomplemented
496C5×D3—42no—
497C23×C3—51no—
498C22×D3—21no—
499C22×D3—104no—
500C22×D3—101no—
501C22×D3—202no—
502C22×D3—202no—
503C2×C3×C4—21no—
504C2×C3×C4—21no—
505C2×C3×C4—51no—
506C2×C3×C4—52no—
507C2×C3×C4—52no—
508C2×C3×C4—101no—
509C2×C3×C4—101no—
510C2×C3×C4—202no—
511C2×C3×C4—202no—
512C2×C3×C4C23×D511yescharacteristic
513C2×Dic3—21no—
514C2×Dic3—51no—
515C2×Dic3—54no—
516C2×Dic3—51no—
517C2×Dic3—102no—
518C2×Dic3—101no—
519C2×Dic3—202no—
520C2×Dic3D4×D511yescharacteristic
521C2×Dic3D4×D511yescharacteristic
522D12—21no—
523D12—52no—
524D12—104no—
525D12—101no—
526D12Q8×D512yescomplemented
527C4×D3—42no—
528C4×D3—202no—
529C4×D3—202no—
530C4×D3—202no—
531Dic6—42no—
532Dic6—202no—
533Dic6—202no—
534Dic6—202no—
535C3×C8—21no—
536C3×C8—101no—
537C3⋊C8—21no—
538C3⋊C8—101no—
539C22×C5—62no—
540C22×C5—121no—
541C22×C5—121no—
542C22×C5C2×D3×D411yescharacteristic
543C2×D5—62no—
544C2×D5—121no—
545C2×D5—121no—
546C2×D5—128no—
547C2×D5#89612yes—
548C2×D5D3×D812yes—
549C2×D5#91812yes—
550C4×C5—32no—
551C4×C5—41no—
552C4×C5—41no—
553C4×C5—61no—
554C4×C5—121no—
555C4×C5C2×#23511yescharacteristic
556C4×C5C2×D3×Q811yescharacteristic
557Dic5—32no—
558Dic5—41no—
559Dic5—41no—
560Dic5—61no—
561Dic5—121no—
562Dic5#89612yes—
563C24—301no—
564C2×Q8—61no—
565C2×Q8—301no—
566C2×Q8—301no—
567C2×Q8—301no—
568C2×Q8—604no—
569C2×D4—31no—
570C2×D4—154no—
571C2×D4—151no—
572C2×D4—302no—
573C2×D4—301no—
574C22×C4—51no—
575C22×C4—61no—
576C22×C4—101no—
577C22×C4—101no—
578C22×C4—151no—
579C22×C4—151no—
580C22×C4—301no—
581C22×C4—301no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—604no—
585C2×C8—31no—
586C2×C8—51no—
587C2×C8—102no—
588C2×C8—151no—
589C2×C8—302no—
590C2×C8C2×D3×D511yescharacteristic
591C4⋊C4—31no—
592C4⋊C4—51no—
593C4⋊C4—51no—
594C4⋊C4—61no—
595C4⋊C4—101no—
596C4⋊C4—101no—
597C4⋊C4—151no—
598C4⋊C4—301no—
599C4⋊C4—301no—
600C4⋊C4—301no—
601C4⋊C4—301no—
602C4⋊C4C2×D3×D511yescharacteristic
603C4⋊C4C2×D3×D511yescharacteristic
604C22⋊C4—61no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C22⋊C4—301no—
608C42—31no—
609C42—151no—
610C42—151no—
611C42—151no—
612C3×C5C2×#47411yescharacteristic, complemented, Hall
613C22×C3—52no—
614C22×C3—52no—
615C22×C3—52no—
616C22×C3C2×D4×D511yescharacteristic
617C2×D3—22no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—102no—
621C2×D3—208no—
622C2×D3—201no—
623C2×D3—201no—
624C3×C4—41no—
625C3×C4—41no—
626C3×C4—52no—
627C3×C4—201no—
628C3×C4—201no—
629C3×C4C2×Q8×D511yescharacteristic
630C3×C4D5×#4111yescharacteristic
631Dic3—21no—
632Dic3—41no—
633Dic3—52no—
634Dic3—101no—
635Dic3—201no—
636Dic3D5×D812yes—
637C2×C5—122no—
638C2×C5C2×#89611yescharacteristic
639C2×C5C2×D3×D811yescharacteristic
640C2×C5C2×#91811yescharacteristic
641D5—122no—
642D5#489014yesdirect product factor
643C23—51no—
644C23—61no—
645C23—304no—
646C23—301no—
647C23—602no—
648C23—602no—
649Q8—122no—
650Q8—602no—
651Q8—602no—
652Q8—602no—
653D4—32no—
654D4—61no—
655D4—152no—
656D4—304no—
657D4—301no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—31no—
661C2×C4—31no—
662C2×C4—51no—
663C2×C4—52no—
664C2×C4—52no—
665C2×C4—61no—
666C2×C4—101no—
667C2×C4—101no—
668C2×C4—122no—
669C2×C4—154no—
670C2×C4—151no—
671C2×C4—151no—
672C2×C4—202no—
673C2×C4—202no—
674C2×C4—302no—
675C2×C4—301no—
676C2×C4—602no—
677C2×C4—602no—
678C2×C4—602no—
679C2×C4—602no—
680C2×C4C22×D3×D511yescharacteristic
681C8—21no—
682C8—61no—
683C8—101no—
684C8—301no—
685C2×C3—54no—
686C2×C3D5×C22⋊Q811yescharacteristic
687C2×C3C2×D5×D811yescharacteristic
688C2×C3D5×#13711yescharacteristic
689D3—42no—
690D3—202no—
691C5C2×#489011yescharacteristic, complemented, Sylow
692C22—52no—
693C22—52no—
694C22—52no—
695C22—62no—
696C22—121no—
697C22—121no—
698C22—302no—
699C22—608no—
700C22—601no—
701C22—601no—
702C22D3×D4×D511yescharacteristic
703C4—32no—
704C4—41no—
705C4—41no—
706C4—52no—
707C4—61no—
708C4—121no—
709C4—152no—
710C4—201no—
711C4—201no—
712C4—301no—
713C4—601no—
714C4D5×#23511yescharacteristic
715C4D3×Q8×D511yescharacteristic
716C3D5×#47411yescharacteristic, complemented, Sylow
717C2—54no—
718C2—122no—
719C2—602no—
720C2D5×#89611yescharacteristic
721C2D3×D5×D811yescharacteristic
722C2D5×#91811yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#107C22
socleC22×C3×C5C22×D4
prime radicalC2×D5×D12C22
hypercenter#107D3×D5
hypocenterC3×C5C2×#474
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. D5×#888C2semidirect
3. #11750991C2semidirect
4. C5×#4890C2semidirect
5. C3×D5×#107C2semidirect
7. #11747811C2semidirect
8. #11747794C2semidirect
9. D5×Dic3⋊C8C2semidirect
11. D5×#807C2semidirect
12. #11747416C2semidirect
13. #11747254C2semidirect
14. #11747246C2semidirect
15. #11747180C2semidirect
21. #91777C22semidirect
23. C5×#888C22semidirect
28. #91470C22semidirect
29. #91469C22semidirect
40. C3×C5×#107C22semidirect
42. #91098C22semidirect
44. #91091C22semidirect
46. C5×Dic3⋊C8C22semidirect
48. C5×#807C22semidirect
49. C3×#3950C22semidirect
50. C3×#3939C22semidirect
51. C3×#3939C22semidirect
52. #90990C22semidirect
53. #90989C22semidirect
54. Dic3⋊#168C22semidirect
55. #90983C22semidirect
69. D5×#107D3semidirect
95. D5×D12Q8semidirect
139. #4890D5direct (N × H)
164. C5×#107C2×D3semidirect
173. #3950C2×D3semidirect
180. #3939C2×D3semidirect
181. #3939C2×D3semidirect
197. D60C2×Q8semidirect
204. C5×D12C2×Q8semidirect
248. #888C2×D5semidirect
252. C3×#107C2×D5semidirect
260. Dic3⋊C8C2×D5semidirect
268. #807C2×D5semidirect
478. #107D3×D5semidirect
495. C3×D5#474semidirect
526. D12Q8×D5semidirect
612. C3×C5C2×#474semidirect
642. D5#4890direct (N × H)
691. C5C2×#4890semidirect
716. C3D5×#474semidirect

Maximal subgroups

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

subgroupindex
D5×#8932
D5×#8882
#117509912
C5×#48902
C3×D5×#1072
D5×#8212
#117478112
#117477942
D5×Dic3⋊C82
D5×#8092
D5×#8072
#117474162
#117472542
#117472462
#117471802
D5×#4743
C2×#48905