Finite Group Databasebeta

← D5×#4789 #14416424

Subgroups — D5×#4789 #14416424

Order 1920.

960 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×D5×Dic3C211yesmaximal, characteristic
2C2×D5×#216C211yesmaximal, characteristic
3D5×#887C211yesmaximal, characteristic
4#11750890C211yesmaximal, characteristic, complemented
5C5×#4789C211yesmaximal, characteristic, complemented
6C3×D5×#103C211yesmaximal, characteristic
7#11749266C211yesmaximal, characteristic, complemented
8#11749260C211yesmaximal, characteristic, complemented
9#11747832C211yesmaximal, characteristic, complemented
10#11747829C211yesmaximal, characteristic, complemented
11D5×#816C211yesmaximal, characteristic
12D5×#815C211yesmaximal, characteristic
13D5×#808C211yesmaximal, characteristic
14#11747274C211yesmaximal, characteristic, complemented
15#11747267C211yesmaximal, characteristic, complemented
16D5×#441—31nomaximal, Hall
17C2×C3×Q8×D5C2211yescharacteristic
18C2×D5×Dic6C2211yescharacteristic
19Q8×Dic15C2211yescharacteristic
20C2×#6718C2211yescharacteristic
21#91776C2211yescharacteristic
22C5×Q8×Dic3C2211yescharacteristic
23C2×C5×#216C2211yescharacteristic
24C5×#887C2211yescharacteristic
25C2×C3×C8×D5C2211yescharacteristic
26C3×D5×C4⋊C4C2211yescharacteristic
27D5×#216C418yescomplemented
28D5×C4⋊Dic3—21no—
29D5×C4⋊Dic3C2211yescharacteristic
30D5×Dic3⋊C4—21no—
31C4×D5×Dic3—21no—
32C4×D5×Dic3—21no—
33C4×D5×Dic3C2211yescharacteristic
34#91344C2211yescharacteristic
35#91340C2211yescharacteristic
36#91331—21no—
37#91331C2211yescharacteristic
38Dic3×Dic10—21no—
39Dic3×Dic10C2211yescharacteristic
40#91325—21no—
41#91324—21no—
42C2×#6662C2211yescharacteristic
43C2×#6661C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45C3×C5×#103C2211yescharacteristic
46#91100C2211yescharacteristic
47#91099C2211yescharacteristic
48#91092C2211yescharacteristic
49C5×#816C2211yescharacteristic
50C5×#815C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C3×#3967C2211yescharacteristic
53C3×#3948C2211yescharacteristic
54C3×#3942C2211yescharacteristic
55#90987C2211yescharacteristic
56#90986C2211yescharacteristic
57#90975C2211yescharacteristic
58#90973C2211yescharacteristic
59#90954C2211yescharacteristic
60#90953C2211yescharacteristic
61C2×#4789—51nomaximal, Hall
62C2×D5×Q16—31no—
63C4×Q8×D5—31no—
64C4×Q8×D5—31no—
65C5×#441—31no—
66#65473—31no—
67#65319—31no—
68#65319—31no—
69D5×#106—31no—
70#65142—31no—
71D5×#103—31no—
72D5×#103D311yescharacteristic
73#65078—31no—
74#65078—31no—
75#65005—31no—
76D5×#97—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C2×C5×Dic6C2311yescharacteristic
80C3×Q8×D5—22no—
81C3×Q8×D5C2×C414yes—
82C2×C3×C4×D5—21no—
83C2×C3×C4×D5—21no—
84C2×C3×C4×D5C2311yescharacteristic
85C2×C3×Dic10—21no—
86C2×C3×Dic10C2311yescharacteristic
87C2×#1204—21no—
88C2×D5×Dic3—21no—
89C2×D5×Dic3—21no—
90C2×D5×Dic3D411yescharacteristic
91C2×D5×Dic3D411yescharacteristic
92D5×Dic6—22no—
93D5×Dic6C2×C414yes—
94C2×C3×C5×C8C2311yescharacteristic
95C3×C5×C4⋊C4C2311yescharacteristic
96#6718C2×C414yescomplemented
97C4⋊Dic15—21no—
98C4⋊Dic15C2311yescharacteristic
99#6712—21no—
100C4×Dic15—21no—
101C4×Dic15—21no—
102C4×Dic15C2311yescharacteristic
103C2×C3⋊#168C2311yescharacteristic
104C5×#216C2×C414yescomplemented
105C5×C4⋊Dic3—21no—
106C5×C4⋊Dic3C2311yescharacteristic
107C5×Dic3⋊C4—21no—
108C4×C5×Dic3—21no—
109C4×C5×Dic3—21no—
110C4×C5×Dic3C2311yescharacteristic
111C2×C5×C3⋊C8C2311yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C2×C3×#168C2311yescharacteristic
115C3×C8×D5—22no—
116Dic3⋊Dic5—21no—
117#6669—21no—
118#6668—21no—
119#6668—21no—
120#6668—21no—
121Dic3×Dic5—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5D411yescharacteristic
126Dic3×Dic5D411yescharacteristic
127#6662C2×C414yescomplemented
128#6661C2×C414yescomplemented
129D5×C3⋊C8C2×C414yes—
130C2×Q8×Dic3—51no—
131C22×#216—51no—
132C2×#887—51no—
133C2×C3×#103—51no—
134C2×#816—51no—
135C2×#815—51no—
136C2×#808—51no—
137#4789—51no—
138#4789—51no—
139#4789—51no—
140#4789—51no—
141#4789—51no—
142#4789—51no—
143#4789—51no—
144#4789D511yescharacteristic, direct product factor
145C2×Q8×D5—31no—
146C2×Q8×D5C2×D311yescharacteristic
147C2×C5×Q16—31no—
148C4×C5×Q8—31no—
149C4×C5×Q8—31no—
150Q8×Dic5—31no—
151Q8×Dic5—31no—
152C2×#689—31no—
153C2×#689—31no—
154D5×Q16—38no—
155C2×Dic20—31no—
156C2×C8×D5—31no—
157C2×C8×D5C2×D311yescharacteristic
158D5×C4⋊C4—31no—
159D5×C4⋊C4—61no—
160D5×C4⋊C4—61no—
161D5×C4⋊C4C2×D311yescharacteristic
162#4033—31no—
163#4033—31no—
164#4033—61no—
165#4033—61no—
166C42×D5—31no—
167C42×D5—61no—
168C42×D5—61no—
169C4×Dic10—31no—
170C4×Dic10—31no—
171C4×Dic10—61no—
172C4×Dic10—61no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#103C2×D311yescharacteristic
176C5×#97—31no—
177#3967—31no—
178#3967C2×D311yescharacteristic
179#3949—31no—
180#3948—31no—
181#3948C2×D311yescharacteristic
182#3947—31no—
183#3947—31no—
184#3942—31no—
185#3942C2×D311yescharacteristic
186#3940—31no—
187#3940—31no—
188#3935—31no—
189C2×#441—151noSylow
190C22×C3×D5C2×D411yescharacteristic
191C3×C5×Q8—21no—
192C3×C5×Q8C22×C412yes—
193C2×C3×C4×C5—21no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5C2411yescharacteristic
196C2×Dic15—21no—
197C2×Dic15—21no—
198C2×Dic15C2×D411yescharacteristic
199C2×Dic15C2×D411yescharacteristic
200Dic30—21no—
201Dic30C22×C412yes—
202C2×C5×Dic3—21no—
203C2×C5×Dic3—21no—
204C2×C5×Dic3C2×D411yescharacteristic
205C2×C5×Dic3C2×D411yescharacteristic
206C5×Dic6—21no—
207C5×Dic6C22×C412yes—
208C2×C3×Dic5—21no—
209C2×C3×Dic5—21no—
210C2×C3×Dic5C2×D411yescharacteristic
211C3×C4×D5—24no—
212C3×C4×D5—42no—
213C3×C4×D5C22×C412yes—
214C3×C4×D5#4112yes—
215C3×Dic10—21no—
216C3×Dic10—24no—
217C3×Dic10C22×C412yes—
218#1204—24no—
219D5×Dic3—24no—
220D5×Dic3—22no—
221D5×Dic3—22no—
222D5×Dic3—42no—
223C3×C5×C8—21no—
224C3⋊#168C22×C412yes—
225C3×#168—21no—
226C5×C3⋊C8C22×C412yes—
227C22×C3×Q8—51no—
228C22×Dic6—51no—
229C22×C3×C8—51no—
230C2×C3×C4⋊C4—51no—
231Q8×Dic3—51no—
232Q8×Dic3—51no—
233Q8×Dic3—51no—
234Q8×Dic3—101no—
235Q8×Dic3—101no—
236Q8×Dic3C2×D511yescharacteristic
237C2×#216—51no—
238C2×#216—51no—
239C2×#216—58no—
240C2×#216—51no—
241C2×#216C2×D511yescharacteristic
242C2×C4⋊Dic3—51no—
243C2×C4⋊Dic3—101no—
244C2×Dic3⋊C4—101no—
245C2×C4×Dic3—51no—
246C2×C4×Dic3—101no—
247C2×C4×Dic3—101no—
248C22×C3⋊C8—51no—
249#887—51no—
250#887—51no—
251#887—51no—
252#887—101no—
253#887—101no—
254#887C2×D511yescharacteristic
255C3×#103—51no—
256C3×#103—51no—
257C3×#103—51no—
258C3×#103C2×D511yescharacteristic
259#816—51no—
260#816—51no—
261#816—51no—
262#816C2×D511yescharacteristic
263#815—51no—
264#815—51no—
265#815—51no—
266#815C2×D511yescharacteristic
267#808—51no—
268#808—51no—
269#808—51no—
270#808C2×D511yescharacteristic
271C2×C5×Q8—31no—
272C2×C5×Q8C22×D311yescharacteristic
273Q8×D5—22no—
274Q8×D5—34no—
275Q8×D5—62no—
276Q8×D5C4×D314yes—
277C2×C4×D5—21no—
278C2×C4×D5—21no—
279C2×C4×D5—31no—
280C2×C4×D5—31no—
281C2×C4×D5—61no—
282C2×C4×D5—61no—
283C2×C4×D5C22×D311yescharacteristic
284C2×Dic10—21no—
285C2×Dic10—31no—
286C2×Dic10—61no—
287C2×Dic10C22×D311yescharacteristic
288C5×Q16—34no—
289C2×C5×C8—31no—
290C2×C5×C8C22×D311yescharacteristic
291C5×C4⋊C4—31no—
292C5×C4⋊C4—61no—
293C5×C4⋊C4—61no—
294C5×C4⋊C4C22×D311yescharacteristic
295C42×C5—31no—
296C42×C5—61no—
297C42×C5—61no—
298#689—34no—
299#689—34no—
300C4⋊Dic5—31no—
301C4⋊Dic5—61no—
302C4⋊Dic5—61no—
303C4⋊Dic5C22×D311yescharacteristic
304#683—21no—
305#683—61no—
306#683—61no—
307#683—61no—
308#683—61no—
309#683—61no—
310C4×Dic5—31no—
311C4×Dic5—31no—
312C4×Dic5—31no—
313C4×Dic5—61no—
314C4×Dic5—61no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C2×#168—31no—
320C2×#168C22×D311yescharacteristic
321Dic20—34no—
322C8×D5—22no—
323C8×D5—34no—
324C22×Q16—151no—
325C2×C4×Q8—151no—
326C2×C4×Q8—151no—
327#441—31no—
328#441—151no—
329#441—151no—
330#441—151no—
331#441—151no—
332#441—151no—
333#441—151no—
334#441—151no—
335C2×#106—151no—
336C2×#103—51no—
337C2×#103—151no—
338C2×#97—151no—
339C22×C3×C5C22×D411yescharacteristic
340C2×C3×D5C4×D412yes—
341C2×C3×D5#13712yes—
342C2×C3×D5#13712yes—
343C3×C4×C5—22no—
344C3×C4×C5—41no—
345C3×C4×C5C23×C411yescharacteristic
346C3×C4×C5C2×#4111yescharacteristic
347Dic15—22no—
348Dic15—21no—
349Dic15—21no—
350Dic15—41no—
351C3×Dic5—22no—
352C3×Dic5—41no—
353C3×Dic5C4×D412yes—
354C5×Dic3—22no—
355C5×Dic3—21no—
356C5×Dic3—21no—
357C5×Dic3—41no—
358C2×C3×Q8—54no—
359C2×C3×Q8—51no—
360C2×C3×Q8—101no—
361C2×C3×Q8—102no—
362C2×C3×Q8C22×D511yescharacteristic
363C22×C3×C4—51no—
364C22×C3×C4—101no—
365C22×C3×C4—101no—
366C22×Dic3—51no—
367C22×Dic3—51no—
368C22×Dic3—101no—
369C22×Dic3—101no—
370C2×Dic6—51no—
371C2×Dic6—54no—
372C2×Dic6—102no—
373C2×Dic6—101no—
374C2×Dic6C22×D511yescharacteristic
375C2×C3×C8—51no—
376C2×C3×C8—102no—
377C2×C3×C8C22×D511yescharacteristic
378C3×C4⋊C4—51no—
379C3×C4⋊C4—101no—
380C3×C4⋊C4C22×D511yescharacteristic
381#216—54no—
382#216—54no—
383#216—54no—
384#216C4×D514yescomplemented
385C4⋊Dic3—21no—
386C4⋊Dic3—51no—
387C4⋊Dic3—101no—
388C4⋊Dic3—101no—
389C4⋊Dic3—101no—
390C4⋊Dic3—101no—
391C4⋊Dic3C22×D511yescharacteristic
392Dic3⋊C4—21no—
393Dic3⋊C4—101no—
394Dic3⋊C4—101no—
395Dic3⋊C4—101no—
396C4×Dic3—21no—
397C4×Dic3—21no—
398C4×Dic3—51no—
399C4×Dic3—51no—
400C4×Dic3—51no—
401C4×Dic3—101no—
402C4×Dic3—101no—
403C4×Dic3—101no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C4×Dic3C22×D511yescharacteristic
408C2×C3⋊C8—51no—
409C2×C3⋊C8—54no—
410C2×C3⋊C8C22×D511yescharacteristic
411C22×D5D3×D411yescharacteristic
412C5×Q8—21no—
413C5×Q8—32no—
414C5×Q8—61no—
415C5×Q8C2×C4×D312yes—
416C2×C4×C5—21no—
417C2×C4×C5—21no—
418C2×C4×C5—31no—
419C2×C4×C5—31no—
420C2×C4×C5—61no—
421C2×C4×C5—61no—
422C2×C4×C5C23×D311yescharacteristic
423C2×Dic5—21no—
424C2×Dic5—21no—
425C2×Dic5—31no—
426C2×Dic5—31no—
427C2×Dic5—61no—
428C2×Dic5—61no—
429C2×Dic5D3×D411yescharacteristic
430C4×D5—24no—
431C4×D5—42no—
432C4×D5—64no—
433C4×D5—62no—
434C4×D5—62no—
435C4×D5—122no—
436C4×D5C2×C4×D312yes—
437C4×D5#23712yes—
438Dic10—21no—
439Dic10—24no—
440Dic10—32no—
441Dic10—61no—
442Dic10—64no—
443Dic10C2×C4×D312yes—
444C5×C8—21no—
445C5×C8—32no—
446#168—21no—
447#168—32no—
448C22×Q8—51no—
449C22×Q8—151no—
450C2×Q16—31no—
451C2×Q16—151no—
452C2×Q16—158no—
453C2×Q16—151no—
454C2×Q16—151no—
455C22×C8—51no—
456C22×C8—151no—
457C4×Q8—31no—
458C4×Q8—31no—
459C4×Q8—151no—
460C4×Q8—151no—
461C4×Q8—151no—
462C4×Q8—151no—
463C4×Q8—151no—
464C4×Q8—151no—
465C4×Q8—301no—
466C4×Q8—301no—
467C4×Q8—301no—
468C4×Q8—301no—
469C2×C4⋊C4—51no—
470C2×C4⋊C4—151no—
471C2×C4⋊C4—301no—
472C2×C4⋊C4—301no—
473C2×C42—151no—
474C2×C42—301no—
475C2×C42—301no—
476#106—31no—
477#106—151no—
478#106—151no—
479#106—151no—
480#103—31no—
481#103—51no—
482#103—51no—
483#103—51no—
484#103—151no—
485#103—151no—
486#103—151no—
487#103D3×D511yescharacteristic
488#97—31no—
489#97—151no—
490#97—151no—
491#97—151no—
492C2×C3×C5C2×C4×D411yescharacteristic
493C2×C3×C5C2×#13711yescharacteristic
494C2×C3×C5C2×#13711yescharacteristic
495C3×D5#44114yescomplemented
496C23×C3—51no—
497C3×Q8—21no—
498C3×Q8—52no—
499C3×Q8—104no—
500C3×Q8—101no—
501C3×Q8C2×C4×D512yes—
502C2×C3×C4—21no—
503C2×C3×C4—21no—
504C2×C3×C4—51no—
505C2×C3×C4—52no—
506C2×C3×C4—52no—
507C2×C3×C4—104no—
508C2×C3×C4—101no—
509C2×C3×C4—101no—
510C2×C3×C4—202no—
511C2×C3×C4C23×D511yescharacteristic
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—51no—
515C2×Dic3—51no—
516C2×Dic3—104no—
517C2×Dic3—102no—
518C2×Dic3—102no—
519C2×Dic3—101no—
520C2×Dic3—101no—
521C2×Dic3—202no—
522C2×Dic3D4×D511yescharacteristic
523C2×Dic3D4×D511yescharacteristic
524Dic6—21no—
525Dic6—52no—
526Dic6—104no—
527Dic6—101no—
528Dic6C2×C4×D512yes—
529C3×C8—21no—
530C3×C8—101no—
531C3⋊C8—52no—
532C3⋊C8C2×C4×D512yes—
533C22×C5C2×D3×D411yescharacteristic
534C2×D5#67⋊C412yes—
535C2×D5#91512yes—
536C2×D5#91812yes—
537C4×C5—22no—
538C4×C5—41no—
539C4×C5—62no—
540C4×C5—61no—
541C4×C5—61no—
542C4×C5—121no—
543C4×C5C22×C4×D311yescharacteristic
544C4×C5C2×#23711yescharacteristic
545Dic5—22no—
546Dic5—41no—
547Dic5—62no—
548Dic5—61no—
549Dic5—61no—
550Dic5—121no—
551Dic5#67⋊C412yes—
552C2×Q8—31no—
553C2×Q8—54no—
554C2×Q8—51no—
555C2×Q8—101no—
556C2×Q8—102no—
557C2×Q8—154no—
558C2×Q8—151no—
559C2×Q8—301no—
560C2×Q8—302no—
561C2×Q8C2×D3×D511yescharacteristic
562C22×C4—51no—
563C22×C4—101no—
564C22×C4—101no—
565C22×C4—151no—
566C22×C4—151no—
567C22×C4—301no—
568C22×C4—301no—
569Q16—34no—
570Q16—154no—
571Q16—154no—
572Q16—154no—
573C2×C8—31no—
574C2×C8—51no—
575C2×C8—102no—
576C2×C8—154no—
577C2×C8—151no—
578C2×C8C2×D3×D511yescharacteristic
579C4⋊C4—31no—
580C4⋊C4—51no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—101no—
584C4⋊C4—151no—
585C4⋊C4—301no—
586C4⋊C4—301no—
587C4⋊C4—301no—
588C4⋊C4—301no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4C2×D3×D511yescharacteristic
593C42—31no—
594C42—61no—
595C42—61no—
596C42—151no—
597C42—151no—
598C42—151no—
599C42—301no—
600C42—301no—
601C42—301no—
602C42—301no—
603C42—301no—
604C42—301no—
605C3×C5C2×#44111yescharacteristic, complemented, Hall
606C22×C3—52no—
607C22×C3—52no—
608C22×C3—52no—
609C22×C3C2×D4×D511yescharacteristic
610C3×C4—22no—
611C3×C4—41no—
612C3×C4—52no—
613C3×C4—102no—
614C3×C4—201no—
615C3×C4C22×C4×D511yescharacteristic
616C3×C4D5×#4111yescharacteristic
617Dic3—21no—
618Dic3—21no—
619Dic3—22no—
620Dic3—41no—
621Dic3—101no—
622Dic3—101no—
623Dic3—102no—
624Dic3—201no—
625C2×C5C2×#67⋊C411yescharacteristic
626C2×C5C2×#91511yescharacteristic
627C2×C5C2×#91811yescharacteristic
628D5#478914yesdirect product factor
629C23—51no—
630Q8—21no—
631Q8—32no—
632Q8—52no—
633Q8—61no—
634Q8—104no—
635Q8—101no—
636Q8—152no—
637Q8—304no—
638Q8—301no—
639Q8C4×D3×D512yes—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—31no—
643C2×C4—31no—
644C2×C4—51no—
645C2×C4—52no—
646C2×C4—52no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—104no—
650C2×C4—101no—
651C2×C4—101no—
652C2×C4—151no—
653C2×C4—151no—
654C2×C4—202no—
655C2×C4—302no—
656C2×C4—302no—
657C2×C4—304no—
658C2×C4—301no—
659C2×C4—301no—
660C2×C4—602no—
661C2×C4C22×D3×D511yescharacteristic
662C8—21no—
663C8—32no—
664C8—101no—
665C8—152no—
666C2×C3—54no—
667C2×C3C4×D4×D511yescharacteristic
668C2×C3D5×#13711yescharacteristic
669C2×C3D5×#13711yescharacteristic
670C5C2×#478911yescharacteristic, complemented, Sylow
671C22—52no—
672C22—52no—
673C22—52no—
674C22D3×D4×D511yescharacteristic
675C4—22no—
676C4—41no—
677C4—52no—
678C4—61no—
679C4—61no—
680C4—62no—
681C4—102no—
682C4—121no—
683C4—201no—
684C4—301no—
685C4—301no—
686C4—302no—
687C4—601no—
688C4C2×C4×D3×D511yescharacteristic
689C4D5×#23711yescharacteristic
690C3D5×#44111yescharacteristic, complemented, Sylow
691C2—54no—
692C2D5×#67⋊C411yescharacteristic
693C2D5×#91511yescharacteristic
694C2D5×#91811yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#103C22
socleC22×C3×C5C22×D4
prime radicalC22×C3×D5C2×D4
cosocleC2×C3×C4×C5C24
hypercenter#103D3×D5
hypocenterC3×C5C2×#441
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
4. #11750890C2semidirect
5. C5×#4789C2semidirect
7. #11749266C2semidirect
8. #11749260C2semidirect
9. #11747832C2semidirect
10. #11747829C2semidirect
14. #11747274C2semidirect
15. #11747267C2semidirect
27. D5×#216C4semidirect
96. #6718C2×C4semidirect
104. C5×#216C2×C4semidirect
127. #6662C2×C4semidirect
128. #6661C2×C4semidirect
144. #4789D5direct (N × H)
384. #216C4×D5semidirect
495. C3×D5#441semidirect
605. C3×C5C2×#441semidirect
628. D5#4789direct (N × H)
670. C5C2×#4789semidirect
690. C3D5×#441semidirect

Maximal subgroups

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

subgroupindex
Q8×D5×Dic32
C2×D5×#2162
D5×#8872
#117508902
C5×#47892
C3×D5×#1032
#117492662
#117492602
#117478322
#117478292
D5×#8162
D5×#8152
D5×#8082
#117472742
#117472672
D5×#4413
C2×#47895