Finite Group Databasebeta

← D5×#4868 #14431680

Subgroups — D5×#4868 #14431680

Order 1920.

832 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D5×#897C211yesmaximal, characteristic
2D5×#892C211yesmaximal, characteristic
3#11750969C211yesmaximal, characteristic, complemented
4C5×#4868C211yesmaximal, characteristic, complemented
5C3×D5×#106C211yesmaximal, characteristic, complemented
6D5×(C2×D3)⋊C8C211yesmaximal, characteristic
7#11747689C211yesmaximal, characteristic, complemented
8#11747681C211yesmaximal, characteristic, complemented
9D5×#816C211yesmaximal, characteristic, complemented
10D5×#810C211yesmaximal, characteristic, complemented
11D5×#807C211yesmaximal, characteristic, complemented
12#11747361C211yesmaximal, characteristic, complemented
13#11747215C211yesmaximal, characteristic, complemented
14#11747211C211yesmaximal, characteristic, complemented
15#11747177C211yesmaximal, characteristic, complemented
16D5×#485—31nomaximal, Hall
17C2×C4×D3×D5C2211yescharacteristic
18C2×D5×Dic6C2211yescharacteristic
19#91786C2211yescharacteristic
20#91781C2211yescharacteristic
21C5×#897C2211yescharacteristic
22C5×#892C2211yescharacteristic
23C2×C3×C8×D5C2211yescharacteristic
24C3×D5×C4⋊C4C2211yescharacteristic
25C3×D5×C4⋊C4C2211yescharacteristic
26D5×(C2×D3)⋊C4—21no—
27D5×(C2×D3)⋊C4—21no—
28#91419—21no—
29#91417—21no—
30D5×C4⋊Dic3—21no—
31D5×C4⋊Dic3C2211yescharacteristic
32#91403—21no—
33#91400—21no—
34C4×D5×Dic3—21no—
35#91383C2211yescharacteristic
36#91365C2211yescharacteristic
37#91347C2211yescharacteristic
38#91338C2211yescharacteristic
39C2×D5×C3⋊C8C2211yescharacteristic
40C3×C5×#106C2211yescharacteristic, complemented
41#91104C2211yescharacteristic
42#91100C2211yescharacteristic, complemented
43#91094C2211yescharacteristic, complemented
44#91091C2211yescharacteristic, complemented
45C5×(C2×D3)⋊C8C2211yescharacteristic
46C5×#816C2211yescharacteristic, complemented
47C5×#810C2211yescharacteristic, complemented
48C5×#807C2211yescharacteristic, complemented
49C3×#3949C2211yescharacteristic, complemented
50C3×#3940C2211yescharacteristic, complemented
51C3×#3940C2211yescharacteristic, complemented
52#90990C2211yescharacteristic, complemented
53#90989C2211yescharacteristic, complemented
54#90975C2211yescharacteristic, complemented
55#90974C2211yescharacteristic, complemented
56#90973C2211yescharacteristic, complemented
57#90972C2211yescharacteristic, complemented
58#90957C2211yescharacteristic
59(C2×D3)⋊#168C2211yescharacteristic
60C2×#4868—51nomaximal, Hall
61D5×C22⋊Q8—31no—
62D5×#117—31no—
63C5×#485—31no—
64#65334—31no—
65#65285—31no—
66#65177—31no—
67D5×#107—31no—
68#65156—31no—
69D5×#106D311yescharacteristic, complemented
70#65104—31no—
71#65103—31no—
72D5×#103—31no—
73D5×#103—31no—
74D5×C22⋊C8—31no—
75#65012—31no—
76C22×D3×D5D411yescharacteristic
77C2×C4×D15C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C2×C4×C5×D3C2311yescharacteristic
80C2×C5×Dic6C2311yescharacteristic
81C2×C3×C4×D5—21no—
82C2×C3×C4×D5—21no—
83C2×C3×C4×D5C2311yescharacteristic
84C2×#1204—21no—
85C2×#1200D411yescharacteristic
86C2×D3×Dic5D411yescharacteristic
87C2×D5×Dic3—21no—
88C2×D5×Dic3—21no—
89C2×D5×Dic3D411yescharacteristic
90C4×D3×D5—22no—
91C4×D3×D5—22no—
92D5×Dic6—22no—
93D5×Dic6—22no—
94C2×C3×C5×C8C2311yescharacteristic
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C5×C4⋊C4C2311yescharacteristic
97#6714—21no—
98#6714—21no—
99C4⋊Dic15—21no—
100C4⋊Dic15C2311yescharacteristic
101C4×Dic15—21no—
102C2×C3⋊#168C2311yescharacteristic
103C5×(C2×D3)⋊C4—21no—
104C5×(C2×D3)⋊C4—21no—
105C5×C4⋊Dic3—21no—
106C5×C4⋊Dic3C2311yescharacteristic
107C4×C5×Dic3—21no—
108C2×C5×C3⋊C8C2311yescharacteristic
109C3×C4⋊Dic5C2311yescharacteristic
110C3×C4⋊Dic5C2311yescharacteristic
111C3×#683—21no—
112C3×#683—21no—
113C2×C3×#168C2311yescharacteristic
114C3×C8×D5—22no—
115#6668—21no—
116#6668—21no—
117#6668—21no—
118#6667—21no—
119#6667—21no—
120(C2×D3)⋊Dic5—21no—
121(C2×D3)⋊Dic5—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124D5×C3⋊C8—22no—
125C2×#897—51no—
126C2×#892—51no—
127C2×C3×#106—51no—
128C2×(C2×D3)⋊C8—51no—
129C2×#816—51no—
130C2×#810—51no—
131C2×#807—51no—
132#4868—51no—
133#4868—51no—
134#4868—51no—
135#4868—51no—
136#4868—51no—
137#4868—51no—
138#4868—51no—
139#4868D511yescharacteristic, direct product factor
140C2×Q8×D5—31no—
141C22×C4×D5—31no—
142C5×C22⋊Q8—31no—
143C5×#117—31no—
144#4092—31no—
145#4072—31no—
146#4070—31no—
147C2×C8×D5—31no—
148C2×C8×D5C2×D311yescharacteristic
149#4043—31no—
150#4042—61no—
151#4038—31no—
152#4038—31no—
153D5×C4⋊C4—31no—
154D5×C4⋊C4—61no—
155D5×C4⋊C4C2×D311yescharacteristic
156D5×C4⋊C4C2×D311yescharacteristic
157D5×C22⋊C4—61no—
158D5×C22⋊C4—61no—
159#4024—61no—
160#4023—61no—
161#4018—61no—
162C42×D5—61no—
163C5×#107—31no—
164C5×#106C2×D311yescharacteristic, complemented
165C5×#103—31no—
166C5×#103—31no—
167C5×C22⋊C8—31no—
168#3967—31no—
169#3967—31no—
170C22⋊#168—31no—
171#3952—31no—
172#3952—31no—
173#3950—31no—
174#3949C2×D311yescharacteristic, complemented
175#3948—31no—
176#3948—31no—
177#3942—31no—
178#3942—31no—
179#3940C2×D311yescharacteristic, complemented
180#3940C2×D311yescharacteristic, complemented
181#3939—31no—
182#3939—31no—
183C2×#485—151noSylow
184C22×D15C2×D411yescharacteristic
185C22×C5×D3C2×D411yescharacteristic
186C22×C3×D5C2×D411yescharacteristic
187C2×D3×D5—22no—
188C2×D3×D5—22no—
189C2×D3×D5—22no—
190C2×C3×C4×C5—21no—
191C2×C3×C4×C5—21no—
192C2×C3×C4×C5C2411yescharacteristic
193C2×Dic15—21no—
194C2×Dic15—21no—
195C2×Dic15C2×D411yescharacteristic
196C4×D15—21no—
197C4×D15—21no—
198Dic30—21no—
199Dic30—21no—
200C2×C5×Dic3—21no—
201C2×C5×Dic3—21no—
202C2×C5×Dic3C2×D411yescharacteristic
203C4×C5×D3—21no—
204C4×C5×D3—21no—
205C5×Dic6—21no—
206C5×Dic6—21no—
207C2×C3×Dic5—21no—
208C2×C3×Dic5—21no—
209C2×C3×Dic5C2×D411yescharacteristic
210C3×C4×D5—42no—
211C3×C4×D5—42no—
212C3×C4×D5#4112yes—
213C3×C4×D5#4112yes—
214#1204—42no—
215#1200—22no—
216D3×Dic5—22no—
217D5×Dic3—22no—
218D5×Dic3—42no—
219D5×Dic3—42no—
220C3×C5×C8—21no—
221C3⋊#168—21no—
222C3×#168—21no—
223C5×C3⋊C8—21no—
224C22×C4×D3—51no—
225C22×Dic6—51no—
226C22×C3×C8—51no—
227C2×C3×C4⋊C4—51no—
228C2×C3×C4⋊C4—51no—
229C2×(C2×D3)⋊C4—101no—
230C2×(C2×D3)⋊C4—101no—
231C2×C4⋊Dic3—51no—
232C2×C4⋊Dic3—101no—
233C2×C4×Dic3—101no—
234C22×C3⋊C8—51no—
235#897—51no—
236#897—51no—
237#897—51no—
238#897—101no—
239#897—101no—
240#897C2×D511yescharacteristic
241#892—51no—
242#892—51no—
243#892—51no—
244#892—101no—
245#892—101no—
246#892C2×D511yescharacteristic
247C3×#106—51no—
248C3×#106—51no—
249C3×#106—51no—
250C3×#106C2×D511yescharacteristic, complemented
251(C2×D3)⋊C8—51no—
252(C2×D3)⋊C8—51no—
253(C2×D3)⋊C8—51no—
254(C2×D3)⋊C8C2×D511yescharacteristic
255#816—51no—
256#816—51no—
257#816—51no—
258#816C2×D511yescharacteristic, complemented
259#810—51no—
260#810—51no—
261#810—51no—
262#810C2×D511yescharacteristic, complemented
263#807—51no—
264#807—51no—
265#807—51no—
266#807C2×D511yescharacteristic, complemented
267C23×D5—31no—
268C2×C5×Q8—31no—
269C22×C4×C5—31no—
270C22×Dic5—31no—
271Q8×D5—62no—
272Q8×D5—62no—
273C2×C4×D5—21no—
274C2×C4×D5—21no—
275C2×C4×D5—31no—
276C2×C4×D5—31no—
277C2×C4×D5—31no—
278C2×C4×D5—62no—
279C2×C4×D5—62no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×C4×D5C22×D311yescharacteristic
283C2×Dic10—31no—
284C2×Dic10—61no—
285C2×C5×C8—31no—
286C2×C5×C8C22×D311yescharacteristic
287C5×C4⋊C4—31no—
288C5×C4⋊C4—61no—
289C5×C4⋊C4C22×D311yescharacteristic
290C5×C4⋊C4C22×D311yescharacteristic
291C5×C22⋊C4—61no—
292C5×C22⋊C4—61no—
293C42×C5—61no—
294C22⋊Dic5—61no—
295C22⋊Dic5—61no—
296#685—61no—
297#685—61no—
298#685—61no—
299#685—61no—
300C4⋊Dic5—31no—
301C4⋊Dic5—61no—
302C4⋊Dic5C22×D311yescharacteristic
303C4⋊Dic5C22×D311yescharacteristic
304#683—21no—
305#683—21no—
306#683—61no—
307#683—61no—
308#683—61no—
309C4×Dic5—61no—
310C4×Dic5—61no—
311C4×Dic5—61no—
312C2×#168—31no—
313C2×#168C22×D311yescharacteristic
314C8×D5—22no—
315C8×D5—62no—
316C2×C22⋊Q8—151no—
317C2×#117—151no—
318#485—31no—
319#485—151no—
320#485—151no—
321#485—151no—
322#485—151no—
323#485—151no—
324#485—151no—
325#485—151no—
326C2×#107—151no—
327C2×#106—51no—
328C2×#103—151no—
329C2×#103—151no—
330C2×C22⋊C8—151no—
331C22×C3×C5C22×D411yescharacteristic
332C2×D15—21no—
333C2×D15—21no—
334C2×D15—21no—
335C2×C5×D3—21no—
336C2×C5×D3—21no—
337C2×C5×D3—21no—
338C2×C3×D5#12312yes—
339C2×C3×D5#13512yes—
340C2×C3×D5#13712yes—
341D3×D5—44no—
342C3×C4×C5—41no—
343C3×C4×C5—41no—
344C3×C4×C5C2×#4111yescharacteristic
345C3×C4×C5C2×#4111yescharacteristic
346Dic15—21no—
347Dic15—41no—
348Dic15—41no—
349C3×Dic5—41no—
350C3×Dic5—41no—
351C3×Dic5#12312yes—
352C5×Dic3—21no—
353C5×Dic3—41no—
354C5×Dic3—41no—
355C23×D3—51no—
356C22×C3×C4—51no—
357C22×C3×C4—101no—
358C22×C3×C4—101no—
359C22×Dic3—51no—
360C22×Dic3—101no—
361C22×Dic3—101no—
362C2×C4×D3—51no—
363C2×C4×D3—51no—
364C2×C4×D3—51no—
365C2×C4×D3—102no—
366C2×C4×D3—102no—
367C2×C4×D3C22×D511yescharacteristic
368C2×Dic6—51no—
369C2×Dic6—102no—
370C2×Dic6—102no—
371C2×Dic6—101no—
372C2×Dic6C22×D511yescharacteristic
373C2×C3×C8—51no—
374C2×C3×C8—102no—
375C2×C3×C8C22×D511yescharacteristic
376C3×C4⋊C4—51no—
377C3×C4⋊C4—51no—
378C3×C4⋊C4—101no—
379C3×C4⋊C4—101no—
380C3×C4⋊C4C22×D511yescharacteristic
381C3×C4⋊C4C22×D511yescharacteristic
382(C2×D3)⋊C4—21no—
383(C2×D3)⋊C4—21no—
384(C2×D3)⋊C4—101no—
385(C2×D3)⋊C4—101no—
386(C2×D3)⋊C4—101no—
387(C2×D3)⋊C4—101no—
388(C2×D3)⋊C4—101no—
389(C2×D3)⋊C4—101no—
390C4⋊Dic3—21no—
391C4⋊Dic3—51no—
392C4⋊Dic3—101no—
393C4⋊Dic3—101no—
394C4⋊Dic3—101no—
395C4⋊Dic3—101no—
396C4⋊Dic3C22×D511yescharacteristic
397C4×Dic3—21no—
398C4×Dic3—101no—
399C4×Dic3—101no—
400C4×Dic3—101no—
401C2×C3⋊C8—51no—
402C2×C3⋊C8—102no—
403C2×C3⋊C8C22×D511yescharacteristic
404C23×C5—31no—
405C22×D5—31no—
406C22×D5—62no—
407C22×D5—62no—
408C22×D5—62no—
409C22×D5D3×D411yescharacteristic
410C5×Q8—61no—
411C5×Q8—61no—
412C2×C4×C5—21no—
413C2×C4×C5—21no—
414C2×C4×C5—31no—
415C2×C4×C5—61no—
416C2×C4×C5—61no—
417C2×C4×C5—61no—
418C2×C4×C5—61no—
419C2×C4×C5C23×D311yescharacteristic
420C2×Dic5—21no—
421C2×Dic5—21no—
422C2×Dic5—31no—
423C2×Dic5—62no—
424C2×Dic5—61no—
425C2×Dic5—61no—
426C2×Dic5D3×D411yescharacteristic
427C4×D5—42no—
428C4×D5—42no—
429C4×D5—62no—
430C4×D5—61no—
431C4×D5—61no—
432C4×D5—62no—
433C4×D5—122no—
434C4×D5—122no—
435C4×D5#23512yes—
436C4×D5#23912yes—
437Dic10—61no—
438Dic10—61no—
439Dic10—122no—
440C5×C8—21no—
441C5×C8—61no—
442#168—21no—
443#168—61no—
444C22×Q8—151no—
445C23×C4—151no—
446C22×C8—51no—
447C22×C8—151no—
448C22⋊Q8—31no—
449C22⋊Q8—151no—
450C22⋊Q8—151no—
451C22⋊Q8—151no—
452C22⋊Q8—301no—
453C22⋊Q8—301no—
454#117—31no—
455#117—151no—
456#117—151no—
457#117—151no—
458#117—301no—
459#117—301no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—151no—
463C2×C4⋊C4—301no—
464C2×C22⋊C4—301no—
465C2×C22⋊C4—301no—
466C2×C42—301no—
467#107—31no—
468#107—151no—
469#107—151no—
470#107—151no—
471#106—51no—
472#106—51no—
473#106—51no—
474#106D3×D511yescharacteristic, complemented
475#103—31no—
476#103—31no—
477#103—151no—
478#103—151no—
479#103—151no—
480#103—151no—
481#103—151no—
482#103—151no—
483C22⋊C8—31no—
484C22⋊C8—151no—
485C22⋊C8—151no—
486C22⋊C8—151no—
487C2×C3×C5C2×#12311yescharacteristic
488C2×C3×C5C2×#13511yescharacteristic
489C2×C3×C5C2×#13711yescharacteristic
490D15—41no—
491C3×D5#48514yescomplemented
492C5×D3—41no—
493C23×C3—51no—
494C22×D3—51no—
495C22×D3—102no—
496C22×D3—102no—
497C22×D3—102no—
498C22×D3D4×D511yescharacteristic
499C2×C3×C4—21no—
500C2×C3×C4—21no—
501C2×C3×C4—51no—
502C2×C3×C4—52no—
503C2×C3×C4—52no—
504C2×C3×C4—101no—
505C2×C3×C4—101no—
506C2×C3×C4—202no—
507C2×C3×C4—202no—
508C2×C3×C4C23×D511yescharacteristic
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—51no—
512C2×Dic3—102no—
513C2×Dic3—101no—
514C2×Dic3—101no—
515C2×Dic3—202no—
516C2×Dic3—202no—
517C2×Dic3D4×D511yescharacteristic
518C4×D3—21no—
519C4×D3—21no—
520C4×D3—102no—
521C4×D3—102no—
522C4×D3—101no—
523C4×D3—101no—
524Dic6—21no—
525Dic6—21no—
526Dic6—101no—
527Dic6—101no—
528Dic6—202no—
529C3×C8—21no—
530C3×C8—101no—
531C3⋊C8—21no—
532C3⋊C8—101no—
533C22×C5—61no—
534C22×C5—61no—
535C22×C5—61no—
536C22×C5C2×D3×D411yescharacteristic
537C2×D5—61no—
538C2×D5—61no—
539C2×D5—61no—
540C2×D5—124no—
541C2×D5#89412yes—
542C2×D5#91512yes—
543C2×D5#91612yes—
544C4×C5—41no—
545C4×C5—41no—
546C4×C5—61no—
547C4×C5—121no—
548C4×C5—121no—
549C4×C5C2×#23511yescharacteristic
550C4×C5C2×#23911yescharacteristic
551Dic5—41no—
552Dic5—41no—
553Dic5—61no—
554Dic5—121no—
555Dic5—121no—
556Dic5#89412yes—
557C24—151no—
558C2×Q8—31no—
559C2×Q8—151no—
560C2×Q8—301no—
561C2×Q8—302no—
562C2×Q8—302no—
563C22×C4—31no—
564C22×C4—51no—
565C22×C4—101no—
566C22×C4—101no—
567C22×C4—151no—
568C22×C4—151no—
569C22×C4—151no—
570C22×C4—151no—
571C22×C4—302no—
572C22×C4—302no—
573C22×C4—301no—
574C22×C4—301no—
575C2×C8—31no—
576C2×C8—51no—
577C2×C8—102no—
578C2×C8—151no—
579C2×C8—302no—
580C2×C8C2×D3×D511yescharacteristic
581C4⋊C4—31no—
582C4⋊C4—51no—
583C4⋊C4—51no—
584C4⋊C4—61no—
585C4⋊C4—101no—
586C4⋊C4—101no—
587C4⋊C4—151no—
588C4⋊C4—301no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4C2×D3×D511yescharacteristic
593C4⋊C4C2×D3×D511yescharacteristic
594C22⋊C4—61no—
595C22⋊C4—61no—
596C22⋊C4—301no—
597C22⋊C4—301no—
598C22⋊C4—301no—
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—61no—
603C42—301no—
604C42—301no—
605C42—301no—
606C3×C5C2×#48511yescharacteristic, complemented, Hall
607C22×C3—52no—
608C22×C3—52no—
609C22×C3—52no—
610C22×C3C2×D4×D511yescharacteristic
611C2×D3—21no—
612C2×D3—21no—
613C2×D3—21no—
614C2×D3—101no—
615C2×D3—101no—
616C2×D3—101no—
617C2×D3—204no—
618C3×C4—41no—
619C3×C4—41no—
620C3×C4—52no—
621C3×C4—201no—
622C3×C4—201no—
623C3×C4D5×#4111yescharacteristic
624C3×C4D5×#4111yescharacteristic
625Dic3—21no—
626Dic3—41no—
627Dic3—41no—
628Dic3—101no—
629Dic3—201no—
630Dic3—201no—
631C2×C5—121no—
632C2×C5C2×#89411yescharacteristic
633C2×C5C2×#91511yescharacteristic
634C2×C5C2×#91611yescharacteristic
635D5—121no—
636D5#486814yesdirect product factor
637C23—31no—
638C23—51no—
639C23—151no—
640C23—302no—
641C23—302no—
642C23—302no—
643Q8—61no—
644Q8—61no—
645Q8—301no—
646Q8—301no—
647Q8—602no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—31no—
651C2×C4—51no—
652C2×C4—52no—
653C2×C4—52no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—101no—
659C2×C4—101no—
660C2×C4—151no—
661C2×C4—202no—
662C2×C4—202no—
663C2×C4—302no—
664C2×C4—302no—
665C2×C4—302no—
666C2×C4—301no—
667C2×C4—301no—
668C2×C4—301no—
669C2×C4—301no—
670C2×C4—602no—
671C2×C4—602no—
672C2×C4C22×D3×D511yescharacteristic
673C8—21no—
674C8—61no—
675C8—101no—
676C8—301no—
677C2×C3—54no—
678C2×C3D5×#12311yescharacteristic
679C2×C3D5×#13511yescharacteristic
680C2×C3D5×#13711yescharacteristic
681D3—41no—
682D3—201no—
683C5C2×#486811yescharacteristic, complemented, Sylow
684C22—52no—
685C22—52no—
686C22—52no—
687C22—61no—
688C22—61no—
689C22—61no—
690C22—301no—
691C22—301no—
692C22—301no—
693C22—604no—
694C22D3×D4×D511yescharacteristic
695C4—41no—
696C4—41no—
697C4—52no—
698C4—61no—
699C4—121no—
700C4—121no—
701C4—201no—
702C4—201no—
703C4—301no—
704C4—601no—
705C4—601no—
706C4D5×#23511yescharacteristic
707C4D5×#23911yescharacteristic
708C3D5×#48511yescharacteristic, complemented, Sylow
709C2—54no—
710C2—121no—
711C2—601no—
712C2D5×#89411yescharacteristic
713C2D5×#91511yescharacteristic
714C2D5×#91611yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#106C22
socleC22×C3×C5C22×D4
prime radicalC22×D3×D5D4
hypercenter#106D3×D5
hypocenterC3×C5C2×#485
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
3. #11750969C2semidirect
4. C5×#4868C2semidirect
5. C3×D5×#106C2semidirect
7. #11747689C2semidirect
8. #11747681C2semidirect
9. D5×#816C2semidirect
10. D5×#810C2semidirect
11. D5×#807C2semidirect
12. #11747361C2semidirect
13. #11747215C2semidirect
14. #11747211C2semidirect
15. #11747177C2semidirect
40. C3×C5×#106C22semidirect
42. #91100C22semidirect
43. #91094C22semidirect
44. #91091C22semidirect
46. C5×#816C22semidirect
47. C5×#810C22semidirect
48. C5×#807C22semidirect
49. C3×#3949C22semidirect
50. C3×#3940C22semidirect
51. C3×#3940C22semidirect
52. #90990C22semidirect
53. #90989C22semidirect
54. #90975C22semidirect
55. #90974C22semidirect
56. #90973C22semidirect
57. #90972C22semidirect
69. D5×#106D3semidirect
139. #4868D5direct (N × H)
164. C5×#106C2×D3semidirect
174. #3949C2×D3semidirect
179. #3940C2×D3semidirect
180. #3940C2×D3semidirect
250. C3×#106C2×D5semidirect
258. #816C2×D5semidirect
262. #810C2×D5semidirect
266. #807C2×D5semidirect
474. #106D3×D5semidirect
491. C3×D5#485semidirect
606. C3×C5C2×#485semidirect
636. D5#4868direct (N × H)
683. C5C2×#4868semidirect
708. C3D5×#485semidirect

Maximal subgroups

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

subgroupindex
D5×#8972
D5×#8922
#117509692
C5×#48682
C3×D5×#1062
D5×(C2×D3)⋊C82
#117476892
#117476812
D5×#8162
D5×#8102
D5×#8072
#117473612
#117472152
#117472112
#117471772
D5×#4853
C2×#48685