Finite Group Databasebeta

← D5×#5030 #14416430

Subgroups — D5×#5030 #14416430

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
1C3×C4×Q8×D5C211yesmaximal, characteristic
2C2×D5×#216C211yesmaximal, characteristic
3C4×D5×Dic6C211yesmaximal, characteristic
4#11751131C211yesmaximal, characteristic, complemented
5C5×#5030C211yesmaximal, characteristic, complemented
6#11749250C211yesmaximal, characteristic, complemented
7#11749247C211yesmaximal, characteristic, complemented
8D5×#835C211yesmaximal, characteristic
9D5×#810C211yesmaximal, characteristic
10D5×#808C211yesmaximal, characteristic
11#11747269C211yesmaximal, characteristic, complemented
12#11747262C211yesmaximal, characteristic, complemented
13#11747091C211yesmaximal, characteristic, complemented
14#11747089C211yesmaximal, characteristic, complemented
15D5×#803C211yesmaximal, characteristic
16D5×#441—31nomaximal, Hall
17C2×C3×Q8×D5C2211yescharacteristic
18C2×D5×Dic6C2211yescharacteristic
19C3×C4×C5×Q8C2211yescharacteristic
20C2×#6718C2211yescharacteristic
21C4×Dic30C2211yescharacteristic
22C2×C5×#216C2211yescharacteristic
23C4×C5×Dic6C2211yescharacteristic
24C3×Q8×Dic5C2211yescharacteristic
25C3×D5×C4⋊C4—21no—
26C3×D5×C4⋊C4C2211yescharacteristic
27C3×#4033—21no—
28C3×#4033C2211yescharacteristic
29C3×C42×D5—21no—
30C3×C42×D5C2211yescharacteristic
31C3×C4×Dic10—21no—
32C3×C4×Dic10C2211yescharacteristic
33D5×#216C418yescomplemented
34C4×#1204—21no—
35D5×C4⋊Dic3C2211yescharacteristic
36D5×Dic3⋊C4—21no—
37C4×D5×Dic3—21no—
38#91333C2211yescharacteristic
39Dic5×Dic6C2211yescharacteristic
40#91323—21no—
41C2×#6662C2211yescharacteristic
42C2×#6661C2211yescharacteristic
43C2×D5×C3⋊C8C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45#91119C2211yescharacteristic
46#91094C2211yescharacteristic
47#91092C2211yescharacteristic
48#91087C2211yescharacteristic
49C5×#835C2211yescharacteristic
50C5×#810C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C5×#803C2211yescharacteristic
53#90987C2211yescharacteristic
54#90986C2211yescharacteristic
55#90974C2211yescharacteristic
56#90972C2211yescharacteristic
57#90971C2211yescharacteristic
58#90970C2211yescharacteristic
59#90952C2211yescharacteristic
60#90952C2211yescharacteristic
61C2×#5030—51nomaximal, Hall
62C2×D5×Q16—31no—
63C4×Q8×D5—31no—
64C4×Q8×D5D311yescharacteristic
65C5×#441—31no—
66#65473—31no—
67#65319—31no—
68#65319—31no—
69D5×#106—31no—
70#65142—31no—
71D5×#103—31no—
72D5×#103—31no—
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×D5D411yescharacteristic
85C2×C3×C4×D5D411yescharacteristic
86C2×C3×C4×D5C2311yescharacteristic
87C2×C3×Dic10—21no—
88C2×C3×Dic10C2311yescharacteristic
89C2×#1204—21no—
90C2×D5×Dic3—21no—
91C2×D5×Dic3—21no—
92D5×Dic6—22no—
93D5×Dic6C2×C414yes—
94C3×C5×C4⋊C4—21no—
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C42×C5—21no—
97C3×C42×C5C2311yescharacteristic
98#6718C2×C414yescomplemented
99C4⋊Dic15C2311yescharacteristic
100#6712—21no—
101C4×Dic15—21no—
102C2×C3⋊#168C2311yescharacteristic
103C2×C3⋊#168C2311yescharacteristic
104C5×#216C2×C414yescomplemented
105C5×C4⋊Dic3C2311yescharacteristic
106C5×Dic3⋊C4—21no—
107C4×C5×Dic3—21no—
108C2×C5×C3⋊C8C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C3×C4⋊Dic5—21no—
111C3×C4⋊Dic5C2311yescharacteristic
112C3×#683—21no—
113C3×#683—21no—
114C3×#683—21no—
115C3×C4×Dic5—21no—
116C3×C4×Dic5—21no—
117C3×C4×Dic5—21no—
118C3×C4×Dic5D411yescharacteristic
119C3×C4×Dic5D411yescharacteristic
120C3×C4×Dic5C2311yescharacteristic
121Dic3⋊Dic5—21no—
122#6669—21no—
123#6668—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126#6662C2×C414yescomplemented
127#6661C2×C414yescomplemented
128D5×C3⋊C8—22no—
129D5×C3⋊C8C2×C414yes—
130C2×C3×C4×Q8—51no—
131C22×#216—51no—
132C2×C4×Dic6—51no—
133C2×#835—51no—
134#5030—51no—
135#5030—51no—
136#5030—51no—
137#5030—51no—
138#5030—51no—
139#5030—51no—
140#5030—51no—
141#5030D511yescharacteristic, direct product factor
142C2×#810—51no—
143C2×#808—51no—
144C2×#803—51no—
145C2×Q8×D5—31no—
146C2×Q8×D5C2×D311yescharacteristic
147C2×C5×Q16—31no—
148C4×C5×Q8—31no—
149C4×C5×Q8C2×D311yescharacteristic
150Q8×Dic5—31no—
151Q8×Dic5C2×D311yescharacteristic
152C2×#689—31no—
153C2×#689—31no—
154D5×Q16—38no—
155C2×Dic20—31no—
156C2×C8×D5—31no—
157C2×C8×D5—31no—
158D5×C4⋊C4—21no—
159D5×C4⋊C4—31no—
160D5×C4⋊C4—61no—
161D5×C4⋊C4C2×D311yescharacteristic
162#4033—21no—
163#4033—31no—
164#4033—61no—
165#4033C2×D311yescharacteristic
166C42×D5—21no—
167C42×D5—61no—
168C42×D5C2×D311yescharacteristic
169C4×Dic10—21no—
170C4×Dic10—31no—
171C4×Dic10—61no—
172C4×Dic10C2×D311yescharacteristic
173C5×#106—31no—
174C5×#103—31no—
175C5×#103—31no—
176C5×#97—31no—
177#3967—31no—
178#3967—31no—
179#3949—31no—
180#3948—31no—
181#3948—31no—
182#3947—31no—
183#3947—31no—
184#3942—31no—
185#3942—31no—
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×C5C2×D411yescharacteristic
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198C2×Dic15—21no—
199C2×Dic15—21no—
200Dic30—21no—
201Dic30C22×C412yes—
202C2×C5×Dic3—21no—
203C2×C5×Dic3—21no—
204C5×Dic6—21no—
205C5×Dic6C22×C412yes—
206C2×C3×Dic5—21no—
207C2×C3×Dic5—21no—
208C2×C3×Dic5C2×D411yescharacteristic
209C2×C3×Dic5C2×D411yescharacteristic
210C2×C3×Dic5C2×D411yescharacteristic
211C3×C4×D5—24no—
212C3×C4×D5—22no—
213C3×C4×D5—22no—
214C3×C4×D5—42no—
215C3×C4×D5C22×C412yes—
216C3×C4×D5#4112yes—
217C3×Dic10—21no—
218C3×Dic10—24no—
219C3×Dic10C22×C412yes—
220#1204—24no—
221D5×Dic3—24no—
222D5×Dic3—42no—
223C3⋊#168—21no—
224C3⋊#168C22×C412yes—
225C5×C3⋊C8—21no—
226C5×C3⋊C8C22×C412yes—
227C22×C3×Q8—51no—
228C22×Dic6—51no—
229C3×C4×Q8—51no—
230C3×C4×Q8—51no—
231C3×C4×Q8—51no—
232C3×C4×Q8—101no—
233C3×C4×Q8—101no—
234C3×C4×Q8C2×D511yescharacteristic
235C2×C3×C4⋊C4—51no—
236C2×C3×C4⋊C4—101no—
237C2×C3×C42—51no—
238C2×C3×C42—101no—
239C2×#216—51no—
240C2×#216—51no—
241C2×#216—58no—
242C2×#216—51no—
243C2×#216C2×D511yescharacteristic
244C2×C4⋊Dic3—51no—
245C2×Dic3⋊C4—101no—
246C2×C4×Dic3—101no—
247C22×C3⋊C8—51no—
248C22×C3⋊C8—51no—
249C4×Dic6—51no—
250C4×Dic6—51no—
251C4×Dic6—51no—
252C4×Dic6—101no—
253C4×Dic6—101no—
254C4×Dic6C2×D511yescharacteristic
255#835—51no—
256#835—51no—
257#835—51no—
258#835C2×D511yescharacteristic
259#810—51no—
260#810—51no—
261#810—51no—
262#810C2×D511yescharacteristic
263#808—51no—
264#808—51no—
265#808—51no—
266#808C2×D511yescharacteristic
267#803—51no—
268#803—51no—
269#803—51no—
270#803C2×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—61no—
280C2×C4×D5—61no—
281C2×C4×D5#6711yescharacteristic
282C2×C4×D5#6711yescharacteristic
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×C8—31no—
291C5×C4⋊C4—21no—
292C5×C4⋊C4—31no—
293C5×C4⋊C4—61no—
294C5×C4⋊C4C22×D311yescharacteristic
295C42×C5—21no—
296C42×C5—61no—
297C42×C5C22×D311yescharacteristic
298#689—34no—
299#689—34no—
300C4⋊Dic5—21no—
301C4⋊Dic5—31no—
302C4⋊Dic5—61no—
303C4⋊Dic5C22×D311yescharacteristic
304#683—21no—
305#683—21no—
306#683—21no—
307#683—61no—
308#683—61no—
309#683—61no—
310C4×Dic5—21no—
311C4×Dic5—21no—
312C4×Dic5—21no—
313C4×Dic5—61no—
314C4×Dic5—61no—
315C4×Dic5—61no—
316C4×Dic5#6711yescharacteristic
317C4×Dic5#6711yescharacteristic
318C4×Dic5C22×D311yescharacteristic
319C2×#168—31no—
320C2×#168—31no—
321Dic20—34no—
322C8×D5—34no—
323C8×D5—62no—
324C22×Q16—151no—
325C2×C4×Q8—51no—
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—151no—
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—21no—
345C3×C4×C5—21no—
346C3×C4×C5—41no—
347C3×C4×C5C23×C411yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349Dic15—22no—
350Dic15—41no—
351C3×Dic5—22no—
352C3×Dic5—21no—
353C3×Dic5—21no—
354C3×Dic5—41no—
355C3×Dic5C4×D412yes—
356C5×Dic3—22no—
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—51no—
365C22×C3×C4—51no—
366C22×C3×C4—101no—
367C22×C3×C4—101no—
368C22×Dic3—101no—
369C22×Dic3—101no—
370C2×Dic6—51no—
371C2×Dic6—54no—
372C2×Dic6—102no—
373C2×Dic6—101no—
374C2×Dic6C22×D511yescharacteristic
375C3×C4⋊C4—21no—
376C3×C4⋊C4—51no—
377C3×C4⋊C4—101no—
378C3×C4⋊C4—101no—
379C3×C4⋊C4—101no—
380C3×C4⋊C4—101no—
381C3×C4⋊C4C22×D511yescharacteristic
382C3×C42—21no—
383C3×C42—51no—
384C3×C42—51no—
385C3×C42—51no—
386C3×C42—101no—
387C3×C42—101no—
388C3×C42—101no—
389C3×C42C22×D511yescharacteristic
390#216—54no—
391#216—54no—
392#216—54no—
393#216C4×D514yescomplemented
394C4⋊Dic3—51no—
395C4⋊Dic3—101no—
396C4⋊Dic3C22×D511yescharacteristic
397Dic3⋊C4—21no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400Dic3⋊C4—101no—
401C4×Dic3—21no—
402C4×Dic3—101no—
403C4×Dic3—101no—
404C4×Dic3—101no—
405C2×C3⋊C8—51no—
406C2×C3⋊C8—54no—
407C2×C3⋊C8—51no—
408C2×C3⋊C8—102no—
409C2×C3⋊C8C22×D511yescharacteristic
410C2×C3⋊C8C22×D511yescharacteristic
411C22×D5C2×#6711yescharacteristic
412C5×Q8—21no—
413C5×Q8—32no—
414C5×Q8—61no—
415C5×Q8C2×C4×D312yes—
416C2×C4×C5—21no—
417C2×C4×C5—21no—
418C2×C4×C5—61no—
419C2×C4×C5—61no—
420C2×C4×C5C2×#6711yescharacteristic
421C2×C4×C5C2×#6711yescharacteristic
422C2×C4×C5C23×D311yescharacteristic
423C2×Dic5—21no—
424C2×Dic5—21no—
425C2×Dic5—61no—
426C2×Dic5—61no—
427C2×Dic5C2×#6711yescharacteristic
428C2×Dic5C2×#6711yescharacteristic
429C2×Dic5C2×#6711yescharacteristic
430C4×D5—24no—
431C4×D5—22no—
432C4×D5—22no—
433C4×D5—42no—
434C4×D5—64no—
435C4×D5—122no—
436C4×D5C2×C4×D312yes—
437C4×D5#23512yes—
438Dic10—21no—
439Dic10—24no—
440Dic10—32no—
441Dic10—61no—
442Dic10—64no—
443Dic10C2×C4×D312yes—
444C5×C8—32no—
445C5×C8—61no—
446#168—32no—
447#168—61no—
448C22×Q8—51no—
449C22×Q8—151no—
450C2×Q16—31no—
451C2×Q16—151no—
452C2×Q16—158no—
453C2×Q16—151no—
454C2×Q16—151no—
455C22×C8—151no—
456C22×C8—151no—
457C4×Q8—31no—
458C4×Q8—51no—
459C4×Q8—51no—
460C4×Q8—51no—
461C4×Q8—101no—
462C4×Q8—101no—
463C4×Q8—151no—
464C4×Q8—151no—
465C4×Q8—151no—
466C4×Q8—301no—
467C4×Q8—301no—
468C4×Q8D3×D511yescharacteristic
469C2×C4⋊C4—51no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4—151no—
472C2×C4⋊C4—301no—
473C2×C42—51no—
474C2×C42—101no—
475C2×C42—301no—
476#106—31no—
477#106—151no—
478#106—151no—
479#106—151no—
480#103—31no—
481#103—31no—
482#103—151no—
483#103—151no—
484#103—151no—
485#103—151no—
486#103—151no—
487#103—151no—
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—51no—
508C2×C3×C4—51no—
509C2×C3×C4—102no—
510C2×C3×C4—102no—
511C2×C3×C4—104no—
512C2×C3×C4—101no—
513C2×C3×C4—101no—
514C2×C3×C4—202no—
515C2×C3×C4D4×D511yescharacteristic
516C2×C3×C4D4×D511yescharacteristic
517C2×C3×C4C23×D511yescharacteristic
518C2×Dic3—21no—
519C2×Dic3—21no—
520C2×Dic3—104no—
521C2×Dic3—101no—
522C2×Dic3—101no—
523C2×Dic3—202no—
524Dic6—21no—
525Dic6—52no—
526Dic6—104no—
527Dic6—101no—
528Dic6C2×C4×D512yes—
529C3⋊C8—21no—
530C3⋊C8—52no—
531C3⋊C8—101no—
532C3⋊C8C2×C4×D512yes—
533C22×C5C22×#6711yescharacteristic
534C2×D5C4×#6712yes—
535C2×D5#94212yes—
536C2×D5#95112yes—
537C4×C5—22no—
538C4×C5—21no—
539C4×C5—21no—
540C4×C5—41no—
541C4×C5—62no—
542C4×C5—121no—
543C4×C5C22×C4×D311yescharacteristic
544C4×C5C2×#23511yescharacteristic
545Dic5—22no—
546Dic5—21no—
547Dic5—21no—
548Dic5—41no—
549Dic5—62no—
550Dic5—121no—
551Dic5C4×#6712yes—
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—51no—
564C22×C4—51no—
565C22×C4—101no—
566C22×C4—101no—
567C22×C4—301no—
568C22×C4—301no—
569Q16—34no—
570Q16—154no—
571Q16—154no—
572Q16—154no—
573C2×C8—31no—
574C2×C8—31no—
575C2×C8—154no—
576C2×C8—151no—
577C2×C8—151no—
578C2×C8—302no—
579C4⋊C4—21no—
580C4⋊C4—31no—
581C4⋊C4—51no—
582C4⋊C4—61no—
583C4⋊C4—101no—
584C4⋊C4—101no—
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
593C42—21no—
594C42—51no—
595C42—51no—
596C42—51no—
597C42—61no—
598C42—101no—
599C42—101no—
600C42—101no—
601C42—301no—
602C42—301no—
603C42—301no—
604C42C2×D3×D511yescharacteristic
605C3×C5C2×#44111yescharacteristic, complemented, Hall
606C22×C3—52no—
607C22×C3—52no—
608C22×C3—52no—
609C22×C3C2×D4×D511yescharacteristic
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—22no—
613C3×C4—41no—
614C3×C4—52no—
615C3×C4—101no—
616C3×C4—101no—
617C3×C4—102no—
618C3×C4—201no—
619C3×C4C22×C4×D511yescharacteristic
620C3×C4D5×#4111yescharacteristic
621Dic3—22no—
622Dic3—41no—
623Dic3—102no—
624Dic3—201no—
625C2×C5C2×C4×#6711yescharacteristic
626C2×C5C2×#94211yescharacteristic
627C2×C5C2×#95111yescharacteristic
628D5#503014yesdirect 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—51no—
643C2×C4—52no—
644C2×C4—52no—
645C2×C4—51no—
646C2×C4—51no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—102no—
650C2×C4—102no—
651C2×C4—104no—
652C2×C4—101no—
653C2×C4—101no—
654C2×C4—202no—
655C2×C4—304no—
656C2×C4—301no—
657C2×C4—301no—
658C2×C4—602no—
659C2×C4D5×#6711yescharacteristic
660C2×C4D5×#6711yescharacteristic
661C2×C4C22×D3×D511yescharacteristic
662C8—32no—
663C8—61no—
664C8—152no—
665C8—301no—
666C2×C3—54no—
667C2×C3C4×D4×D511yescharacteristic
668C2×C3D5×#13711yescharacteristic
669C2×C3D5×#13711yescharacteristic
670C5C2×#503011yescharacteristic, complemented, Sylow
671C22—52no—
672C22—52no—
673C22—52no—
674C22C2×D5×#6711yescharacteristic
675C4—21no—
676C4—21no—
677C4—22no—
678C4—41no—
679C4—52no—
680C4—62no—
681C4—101no—
682C4—101no—
683C4—102no—
684C4—121no—
685C4—201no—
686C4—302no—
687C4—601no—
688C4C2×C4×D3×D511yescharacteristic
689C4D5×#23511yescharacteristic
690C3D5×#44111yescharacteristic, complemented, Sylow
691C2—54no—
692C2C4×D5×#6711yescharacteristic
693C2D5×#94211yescharacteristic
694C2D5×#95111yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×Q8C22
socleC22×C3×C5C22×D4
prime radicalC22×C3×D5C2×D4
cosocleC2×C3×C4×C5C24
hypercenterC4×Q8D3×D5
hypocenterC3×C5C2×#441
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
4. #11751131C2semidirect
5. C5×#5030C2semidirect
6. #11749250C2semidirect
7. #11749247C2semidirect
11. #11747269C2semidirect
12. #11747262C2semidirect
13. #11747091C2semidirect
14. #11747089C2semidirect
33. D5×#216C4semidirect
98. #6718C2×C4semidirect
104. C5×#216C2×C4semidirect
126. #6662C2×C4semidirect
127. #6661C2×C4semidirect
141. #5030D5direct (N × H)
393. #216C4×D5semidirect
495. C3×D5#441semidirect
605. C3×C5C2×#441semidirect
628. D5#5030direct (N × H)
670. C5C2×#5030semidirect
690. C3D5×#441semidirect

Maximal subgroups

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

subgroupindex
C3×C4×Q8×D52
C2×D5×#2162
C4×D5×Dic62
#117511312
C5×#50302
#117492502
#117492472
D5×#8352
D5×#8102
D5×#8082
#117472692
#117472622
#117470912
#117470892
D5×#8032
D5×#4413
C2×#50305