Finite Group Databasebeta

← D5×#5227 #14423313

Subgroups — D5×#5227 #14423313

Order 1920.

1584 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×Q8×D5C211yesmaximal, characteristic, complemented
2C2×D5×#215C212yesmaximal, complemented
3D5×#930C211yesmaximal, characteristic
4#11751328C211yesmaximal, characteristic, complemented
5C5×#5227C211yesmaximal, characteristic, complemented
6#11749268C212yesmaximal, complemented
7#11749267C212yesmaximal, complemented
8D5×#835C212yesmaximal, complemented
9#11748532C211yesmaximal, characteristic, complemented
10#11748529C211yesmaximal, characteristic, complemented
11D5×#830C211yesmaximal, characteristic, complemented
12D5×#448—31nomaximal, Hall
13C22×C3×C5×Q8C2211yescharacteristic, complemented
14C2×C3×Q8×D5—28no—
15C2×C3×Q8×D5—21no—
16C2×C3×Q8×D5—21no—
17C2×C3×Q8×D5C2212yes—
18C2×C3×Q8×D5C2212yescomplemented
19C22×C3×C4×D5—21no—
20C22×C3×C4×D5C2211yescharacteristic
21C22×C3×Dic10—21no—
22C22×C3×Dic10C2211yescharacteristic, complemented
23C2×D5×#67—21no—
24C2×D5×D12C2211yescharacteristic
25C2×#6717C2212yescomplemented
26#91819C2211yescharacteristic
27C2×C5×#215C2212yescomplemented
28C5×#930C2211yescharacteristic
29#91566—21no—
30D5×#215—28no—
31D5×(C2×D3)⋊C4—21no—
32#91450C2211yescharacteristic
33#91449C2211yescharacteristic
34#91448—21no—
35D5×C4⋊Dic3C2211yescharacteristic
36C2×#6658C2212yescomplemented
37C2×#6656C2212yescomplemented
38C2×D5×C3⋊C8C2212yes—
39#91119C2212yescomplemented
40#91114C2211yescharacteristic, complemented
41C5×#835C2212yescomplemented
42C5×#830C2211yescharacteristic, complemented
43#90971C2212yescomplemented
44#90970C2212yescomplemented
45#90955C2212yescomplemented
46C2×#5227—51nomaximal, Hall
47C22×Q8×D5D311yescharacteristic, complemented
48C2×D5×SD16—32no—
49D5×#121—31no—
50C5×#448—31no—
51#65516—31no—
52#65459—32no—
53#65329—31no—
54#65095—32no—
55D5×#103—32no—
56#65027—31no—
57D5×C22⋊C8—31no—
58C23×C3×D5D411yescharacteristic
59C22×D3×D5—21no—
60C2×C3×C5×Q8—24no—
61C2×C3×C5×Q8—21no—
62C2×C3×C5×Q8C2312yes—
63C22×C3×C4×C5—21no—
64C22×C3×C4×C5C2311yescharacteristic
65C2×#1220—21no—
66C2×D60C2311yescharacteristic
67C2×C5×#67—21no—
68C2×C5×D12C2311yescharacteristic
69C22×C3×Dic5—21no—
70C22×C3×Dic5D411yescharacteristic
71C3×Q8×D5—28no—
72C3×Q8×D5—28no—
73C3×Q8×D5—24no—
74C3×Q8×D5—24no—
75C3×Q8×D5—24no—
76C3×Q8×D5D418yescomplemented
77C2×C3×C4×D5—28no—
78C2×C3×C4×D5—22no—
79C2×C3×C4×D5—22no—
80C2×C3×C4×D5—24no—
81C2×C3×C4×D5D411yescharacteristic
82C2×C3×C4×D5D411yescharacteristic
83C2×C3×C4×D5C2311yescharacteristic
84C2×C3×C4×D5C2311yescharacteristic
85C2×C3×Dic10—28no—
86C2×C3×Dic10—21no—
87C2×C3×Dic10—22no—
88C2×C3×Dic10—22no—
89C2×C3×Dic10—24no—
90C2×C3×Dic10C2312yes—
91D5×#67—44no—
92C2×#1203—21no—
93C2×#1202—21no—
94C2×#1201—21no—
95C2×D5×Dic3—21no—
96D5×D12—24no—
97#6717—24no—
98#6714—21no—
99C4⋊Dic15C2311yescharacteristic
100C2×C3⋊#168C2312yes—
101C5×#215—24no—
102C5×(C2×D3)⋊C4—21no—
103C5×C4⋊Dic3C2311yescharacteristic
104C2×C5×C3⋊C8C2312yes—
105#6668—21no—
106#6667—21no—
107(C2×D3)⋊Dic5—21no—
108#6658—24no—
109#6656—24no—
110D5×C3⋊C8—24no—
111C23×C3×Q8—51no—
112C22×#215—52no—
113C2×#930—51no—
114#5227—51no—
115#5227—52no—
116#5227—51no—
117#5227—52no—
118#5227—51no—
119#5227D511yescharacteristic, direct product factor
120C2×#835—52no—
121C2×#830—51no—
122C22×C5×Q8C2×D311yescharacteristic, complemented
123C2×Q8×D5—28no—
124C2×Q8×D5—21no—
125C2×Q8×D5—21no—
126C2×Q8×D5C2×D312yes—
127C2×Q8×D5C2×D312yescomplemented
128C2×D4×D5—31no—
129C2×D4×D5—61no—
130C22×C4×D5—21no—
131C22×C4×D5C2×D311yescharacteristic
132C22×Dic10—21no—
133C22×Dic10C2×D311yescharacteristic, complemented
134C2×C5×SD16—32no—
135C5×#121—31no—
136C2×#688—32no—
137#4085—61no—
138#4084—31no—
139C2×#687—32no—
140#4076—31no—
141D5×SD16—68no—
142C2×#677—32no—
143C2×C8×D5—32no—
144#4041—31no—
145D5×C4⋊C4—31no—
146#4030—61no—
147D5×C22⋊C4—61no—
148C5×#103—32no—
149C5×C22⋊C8—31no—
150#3967—32no—
151C22⋊#168—31no—
152#3952—32no—
153#3948—32no—
154#3942—32no—
155C2×#448—151noSylow
156C23×C3×C5C2×D411yescharacteristic
157C22×D15—21no—
158C22×C5×D3—21no—
159C22×C3×D5—22no—
160C22×C3×D5—22no—
161C22×C3×D5SD1614yescomplemented
162C22×C3×D5C2×D411yescharacteristic
163C22×C3×D5C2×D411yescharacteristic
164C2×D3×D5—42no—
165C2×D3×D5—42no—
166C2×D3×D5—42no—
167C3×C5×Q8—24no—
168C3×C5×Q8—22no—
169C3×C5×Q8C2×D414yescomplemented
170C2×C3×C4×C5—24no—
171C2×C3×C4×C5—22no—
172C2×C3×C4×C5—22no—
173C2×C3×C4×C5C2×D411yescharacteristic
174C2×C3×C4×C5C2411yescharacteristic
175#1220—42no—
176C2×Dic15—21no—
177D60—22no—
178C5×#67—42no—
179C2×C5×Dic3—21no—
180C5×D12—22no—
181C2×C3×Dic5—24no—
182C2×C3×Dic5—22no—
183C2×C3×Dic5—22no—
184C2×C3×Dic5C2×D411yescharacteristic
185C2×C3×Dic5C2×D411yescharacteristic
186C3×C4×D5—28no—
187C3×C4×D5—28no—
188C3×C4×D5—22no—
189C3×C4×D5—22no—
190C3×C4×D5—22no—
191C3×C4×D5C2×D414yes—
192C3×Dic10—28no—
193C3×Dic10—24no—
194C3×Dic10—22no—
195C3×Dic10—28no—
196C3×Dic10C2×D414yescomplemented
197#1203—42no—
198#1202—42no—
199#1201—42no—
200D5×Dic3—42no—
201C3⋊#168—22no—
202C5×C3⋊C8—22no—
203C22×C3×Q8—52no—
204C22×C3×Q8—52no—
205C22×C3×Q8—51no—
206C22×C3×Q8—101no—
207C22×C3×Q8—101no—
208C22×C3×Q8—101no—
209C22×C3×Q8—108no—
210C22×C3×Q8C2×D511yescharacteristic, complemented
211C23×C3×C4—51no—
212C23×C3×C4—101no—
213C22×#67—101no—
214C22×D12—51no—
215C2×#215—52no—
216C2×#215—52no—
217C2×#215—52no—
218C2×#215—108no—
219C2×#215C2×D512yescomplemented
220#930—51no—
221#930—51no—
222#930—51no—
223#930—101no—
224#930—101no—
225#930C2×D511yescharacteristic
226C2×(C2×D3)⋊C4—101no—
227C2×C4⋊Dic3—51no—
228C22×C3⋊C8—52no—
229#835—52no—
230#835—52no—
231#835—52no—
232#835C2×D512yescomplemented
233#830—51no—
234#830—52no—
235#830C2×D511yescharacteristic, complemented
236C23×D5—61no—
237C23×D5#6711yescharacteristic
238C2×C5×Q8—24no—
239C2×C5×Q8—21no—
240C2×C5×Q8C22×D312yes—
241C2×C5×D4—31no—
242C2×C5×D4—61no—
243C22×C4×C5—21no—
244C22×C4×C5C22×D311yescharacteristic
245C2×C22⋊D5—61no—
246C2×C22⋊D5—61no—
247C2×C22⋊D5—61no—
248C22×Dic5—21no—
249C22×Dic5#6711yescharacteristic
250Q8×D5—28no—
251Q8×D5—28no—
252Q8×D5—24no—
253Q8×D5—24no—
254Q8×D5—24no—
255Q8×D5#6718yescomplemented
256D4×D5—64no—
257D4×D5—124no—
258C2×D20—31no—
259C2×D20—61no—
260C2×C4×D5—28no—
261C2×C4×D5—22no—
262C2×C4×D5—22no—
263C2×C4×D5—24no—
264C2×C4×D5—61no—
265C2×C4×D5#6711yescharacteristic
266C2×C4×D5#6711yescharacteristic
267C2×C4×D5C22×D311yescharacteristic
268C2×C4×D5C22×D311yescharacteristic
269C2×Dic10—28no—
270C2×Dic10—21no—
271C2×Dic10—22no—
272C2×Dic10—22no—
273C2×Dic10—24no—
274C2×Dic10C22×D312yes—
275C5×SD16—64no—
276C2×C5×C8—32no—
277C5×C4⋊C4—31no—
278C5×C22⋊C4—61no—
279C22⋊Dic5—61no—
280#688—64no—
281#687—64no—
282#685—61no—
283#685—61no—
284C4⋊Dic5—31no—
285#683—61no—
286C2×#168—32no—
287#677—64no—
288C8×D5—64no—
289C23×Q8—51no—
290C22×SD16—152no—
291C2×#121—151no—
292#448—31no—
293#448—151no—
294#448—152no—
295#448—151no—
296#448—152no—
297#448—151no—
298C2×#103—152no—
299C2×C22⋊C8—151no—
300C22×C3×C5—21no—
301C22×C3×C5—21no—
302C22×C3×C5C2×SD1612yescomplemented
303C22×C3×C5C22×D411yescharacteristic
304C2×D15—41no—
305C2×D15—41no—
306C2×D15—41no—
307C2×C5×D3—41no—
308C2×C5×D3—41no—
309C2×C5×D3—41no—
310C2×C3×D5—21no—
311C2×C3×D5—21no—
312C2×C3×D5—28no—
313C2×C3×D5#12012yes—
314C2×C3×D5C2×SD1612yes—
315C2×C3×D5C2×SD1612yescomplemented
316C2×C3×D5#13712yes—
317D3×D5—84no—
318C3×C4×C5—24no—
319C3×C4×C5—21no—
320C3×C4×C5C22×D412yes—
321Dic15—41no—
322C3×Dic5—21no—
323C3×Dic5—24no—
324C3×Dic5#12012yes—
325C5×Dic3—41no—
326C24×C3—51no—
327C23×D3—101no—
328C2×C3×Q8—24no—
329C2×C3×Q8—21no—
330C2×C3×Q8—58no—
331C2×C3×Q8—52no—
332C2×C3×Q8—102no—
333C2×C3×Q8—102no—
334C2×C3×Q8—104no—
335C2×C3×Q8—108no—
336C2×C3×Q8—104no—
337C2×C3×Q8—104no—
338C2×C3×Q8—108no—
339C2×C3×Q8—108no—
340C2×C3×Q8—104no—
341C2×C3×Q8—101no—
342C2×C3×Q8C22×D512yes—
343C22×C3×C4—21no—
344C22×C3×C4—51no—
345C22×C3×C4—51no—
346C22×C3×C4—51no—
347C22×C3×C4—51no—
348C22×C3×C4—51no—
349C22×C3×C4—104no—
350C22×C3×C4—102no—
351C22×C3×C4—102no—
352C22×C3×C4—108no—
353C22×C3×C4—101no—
354C22×C3×C4C22×D511yescharacteristic
355C2×#67—21no—
356C2×#67—101no—
357C2×#67—101no—
358C2×#67—101no—
359C2×#67—204no—
360C22×Dic3—101no—
361C2×D12—51no—
362C2×D12—104no—
363C2×D12—101no—
364C2×D12C22×D511yescharacteristic
365#215—24no—
366#215—104no—
367#215—104no—
368#215—104no—
369(C2×D3)⋊C4—21no—
370(C2×D3)⋊C4—101no—
371(C2×D3)⋊C4—101no—
372(C2×D3)⋊C4—101no—
373C4⋊Dic3—51no—
374C4⋊Dic3—101no—
375C4⋊Dic3C22×D511yescharacteristic
376C2×C3⋊C8—52no—
377C2×C3⋊C8—104no—
378C2×C3⋊C8C22×D512yes—
379C23×C5—61no—
380C23×C5C2×#6711yescharacteristic
381C22×D5—22no—
382C22×D5—22no—
383C22×D5—61no—
384C22×D5—122no—
385C22×D5—122no—
386C22×D5—122no—
387C22×D5#21514yescomplemented
388C22×D5C2×#6711yescharacteristic
389C22×D5C2×#6711yescharacteristic
390C5×Q8—24no—
391C5×Q8—22no—
392C5×Q8C2×#6714yescomplemented
393C5×D4—62no—
394C5×D4—122no—
395C2×C4×C5—24no—
396C2×C4×C5—22no—
397C2×C4×C5—22no—
398C2×C4×C5—61no—
399C2×C4×C5C2×#6711yescharacteristic
400C2×C4×C5C23×D311yescharacteristic
401C22⋊D5—122no—
402C22⋊D5—122no—
403C22⋊D5—122no—
404C2×Dic5—24no—
405C2×Dic5—22no—
406C2×Dic5—22no—
407C2×Dic5—61no—
408C2×Dic5C2×#6711yescharacteristic
409C2×Dic5C2×#6711yescharacteristic
410D20—62no—
411D20—122no—
412C4×D5—28no—
413C4×D5—28no—
414C4×D5—22no—
415C4×D5—22no—
416C4×D5—22no—
417C4×D5—122no—
418C4×D5C2×#6714yes—
419Dic10—28no—
420Dic10—24no—
421Dic10—22no—
422Dic10—28no—
423Dic10C2×#6714yescomplemented
424C5×C8—62no—
425#168—62no—
426C22×Q8—52no—
427C22×Q8—52no—
428C22×Q8—51no—
429C22×Q8—101no—
430C22×Q8—101no—
431C22×Q8—101no—
432C22×Q8—108no—
433C22×Q8D3×D511yescharacteristic, complemented
434C22×D4—151no—
435C22×D4—301no—
436C23×C4—51no—
437C23×C4—101no—
438C2×SD16—32no—
439C2×SD16—152no—
440C2×SD16—152no—
441C2×SD16—152no—
442C2×SD16—308no—
443C22×C8—152no—
444#121—31no—
445#121—151no—
446#121—151no—
447#121—151no—
448#121—301no—
449#121—301no—
450C2×C4⋊C4—151no—
451C2×C22⋊C4—301no—
452#103—32no—
453#103—152no—
454#103—152no—
455#103—152no—
456C22⋊C8—31no—
457C22⋊C8—152no—
458C22⋊C8—151no—
459C2×C3×C5—22no—
460C2×C3×C5C2×#12011yescharacteristic
461C2×C3×C5C22×SD1611yescharacteristic
462C2×C3×C5C2×#13711yescharacteristic
463D15—81no—
464C3×D5—22no—
465C3×D5#44814yescomplemented
466C5×D3—81no—
467C23×C3—51no—
468C23×C3—51no—
469C23×C3—54no—
470C23×C3—102no—
471C23×C3—102no—
472C23×C3D4×D511yescharacteristic
473C22×D3—21no—
474C22×D3—101no—
475C22×D3—202no—
476C22×D3—202no—
477C22×D3—202no—
478C3×Q8—24no—
479C3×Q8—22no—
480C3×Q8—54no—
481C3×Q8—108no—
482C3×Q8—108no—
483C3×Q8—104no—
484C3×Q8—102no—
485C3×Q8D4×D514yescomplemented
486C2×C3×C4—24no—
487C2×C3×C4—22no—
488C2×C3×C4—22no—
489C2×C3×C4—51no—
490C2×C3×C4—54no—
491C2×C3×C4—51no—
492C2×C3×C4—102no—
493C2×C3×C4—102no—
494C2×C3×C4—108no—
495C2×C3×C4—108no—
496C2×C3×C4—102no—
497C2×C3×C4—104no—
498C2×C3×C4—102no—
499C2×C3×C4—102no—
500C2×C3×C4D4×D511yescharacteristic
501C2×C3×C4C23×D511yescharacteristic
502#67—42no—
503#67—202no—
504#67—202no—
505#67—202no—
506C2×Dic3—21no—
507C2×Dic3—101no—
508C2×Dic3—202no—
509D12—22no—
510D12—102no—
511D12—202no—
512C3⋊C8—22no—
513C3⋊C8—102no—
514C22×C5—21no—
515C22×C5—21no—
516C22×C5—121no—
517C22×C5—121no—
518C22×C5—121no—
519C22×C5C2×#21512yescomplemented
520C22×C5C22×#6711yescharacteristic
521C2×D5—21no—
522C2×D5—21no—
523C2×D5—28no—
524C2×D5—121no—
525C2×D5—121no—
526C2×D5—121no—
527C2×D5—244no—
528C2×D5C2×#21512yes—
529C2×D5C2×#21512yescomplemented
530C2×D5#94212yes—
531C2×D5#95312yes—
532C4×C5—24no—
533C4×C5—21no—
534C4×C5—121no—
535C4×C5C22×#6712yes—
536Dic5—21no—
537Dic5—24no—
538Dic5—121no—
539Dic5#95312yes—
540C24—51no—
541C24—301no—
542C2×Q8—24no—
543C2×Q8—21no—
544C2×Q8—58no—
545C2×Q8—52no—
546C2×Q8—102no—
547C2×Q8—102no—
548C2×Q8—104no—
549C2×Q8—108no—
550C2×Q8—104no—
551C2×Q8—104no—
552C2×Q8—108no—
553C2×Q8—108no—
554C2×Q8—104no—
555C2×Q8—101no—
556C2×Q8C2×D3×D512yes—
557C2×D4—31no—
558C2×D4—61no—
559C2×D4—151no—
560C2×D4—304no—
561C2×D4—301no—
562C2×D4—301no—
563C2×D4—301no—
564C2×D4—301no—
565C2×D4—604no—
566C22×C4—21no—
567C22×C4—51no—
568C22×C4—51no—
569C22×C4—51no—
570C22×C4—51no—
571C22×C4—51no—
572C22×C4—104no—
573C22×C4—102no—
574C22×C4—102no—
575C22×C4—108no—
576C22×C4—101no—
577C22×C4—301no—
578C22×C4C2×D3×D511yescharacteristic
579SD16—64no—
580SD16—304no—
581SD16—304no—
582SD16—304no—
583C2×C8—32no—
584C2×C8—152no—
585C2×C8—304no—
586C4⋊C4—31no—
587C4⋊C4—151no—
588C4⋊C4—301no—
589C22⋊C4—61no—
590C22⋊C4—301no—
591C22⋊C4—301no—
592C22⋊C4—301no—
593C3×C5C2×#44811yescharacteristic, complemented, Hall
594C22×C3—21no—
595C22×C3—21no—
596C22×C3—52no—
597C22×C3—52no—
598C22×C3—52no—
599C22×C3—52no—
600C22×C3—108no—
601C22×C3—101no—
602C22×C3—101no—
603C22×C3D5×SD1612yescomplemented
604C22×C3C2×D4×D511yescharacteristic
605C2×D3—41no—
606C2×D3—41no—
607C2×D3—41no—
608C2×D3—201no—
609C2×D3—201no—
610C2×D3—201no—
611C2×D3—404no—
612C3×C4—24no—
613C3×C4—21no—
614C3×C4—52no—
615C3×C4—101no—
616C3×C4—104no—
617C3×C4C2×D4×D512yes—
618Dic3—41no—
619Dic3—201no—
620C2×C5—22no—
621C2×C5—241no—
622C2×C5C22×#21511yescharacteristic
623C2×C5C2×#94211yescharacteristic
624C2×C5C2×#95311yescharacteristic
625D5—22no—
626D5—241no—
627D5#522714yesdirect product factor
628C23—51no—
629C23—54no—
630C23—51no—
631C23—61no—
632C23—102no—
633C23—102no—
634C23—301no—
635C23—602no—
636C23—602no—
637C23—602no—
638C23D5×#6711yescharacteristic
639Q8—24no—
640Q8—22no—
641Q8—54no—
642Q8—108no—
643Q8—108no—
644Q8—104no—
645Q8—102no—
646Q8D5×#6714yescomplemented
647D4—62no—
648D4—122no—
649D4—302no—
650D4—602no—
651D4—602no—
652D4—602no—
653D4—602no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—51no—
658C2×C4—54no—
659C2×C4—51no—
660C2×C4—61no—
661C2×C4—102no—
662C2×C4—102no—
663C2×C4—108no—
664C2×C4—108no—
665C2×C4—102no—
666C2×C4—104no—
667C2×C4—102no—
668C2×C4—102no—
669C2×C4—301no—
670C2×C4—602no—
671C2×C4D5×#6711yescharacteristic
672C2×C4C22×D3×D511yescharacteristic
673C8—62no—
674C8—302no—
675C2×C3—22no—
676C2×C3—54no—
677C2×C3—102no—
678C2×C3D5×#12011yescharacteristic
679C2×C3C2×D5×SD1611yescharacteristic
680C2×C3D5×#13711yescharacteristic
681D3—81no—
682D3—401no—
683C5C2×#522711yescharacteristic, complemented, Sylow
684C22—21no—
685C22—21no—
686C22—52no—
687C22—52no—
688C22—52no—
689C22—52no—
690C22—108no—
691C22—101no—
692C22—101no—
693C22—121no—
694C22—121no—
695C22—121no—
696C22—601no—
697C22—601no—
698C22—601no—
699C22—1204no—
700C22D5×#21512yescomplemented
701C22C2×D5×#6711yescharacteristic
702C4—24no—
703C4—21no—
704C4—52no—
705C4—101no—
706C4—104no—
707C4—121no—
708C4—601no—
709C4C2×D5×#6712yes—
710C3D5×#44811yescharacteristic, complemented, Sylow
711C2—22no—
712C2—54no—
713C2—102no—
714C2—241no—
715C2—1201no—
716C2C2×D5×#21511yescharacteristic
717C2D5×#94211yescharacteristic
718C2D5×#95311yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×Q8C22
socleC22×C3×C5C22×D4
prime radicalD5×#930C2
hypercenterC22×Q8D3×D5
hypocenterC3×C5C2×#448
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
1. C22×C3×Q8×D5C2semidirect
2. C2×D5×#215C2semidirect
4. #11751328C2semidirect
5. C5×#5227C2semidirect
6. #11749268C2semidirect
7. #11749267C2semidirect
8. D5×#835C2semidirect
9. #11748532C2semidirect
10. #11748529C2semidirect
11. D5×#830C2semidirect
13. C22×C3×C5×Q8C22semidirect
18. C2×C3×Q8×D5C22semidirect
22. C22×C3×Dic10C22semidirect
25. C2×#6717C22semidirect
27. C2×C5×#215C22semidirect
36. C2×#6658C22semidirect
37. C2×#6656C22semidirect
39. #91119C22semidirect
40. #91114C22semidirect
41. C5×#835C22semidirect
42. C5×#830C22semidirect
43. #90971C22semidirect
44. #90970C22semidirect
45. #90955C22semidirect
47. C22×Q8×D5D3semidirect
76. C3×Q8×D5D4semidirect
119. #5227D5direct (N × H)
122. C22×C5×Q8C2×D3semidirect
127. C2×Q8×D5C2×D3semidirect
133. C22×Dic10C2×D3semidirect
161. C22×C3×D5SD16semidirect
169. C3×C5×Q8C2×D4semidirect
196. C3×Dic10C2×D4semidirect
210. C22×C3×Q8C2×D5semidirect
219. C2×#215C2×D5semidirect
232. #835C2×D5semidirect
235. #830C2×D5semidirect
255. Q8×D5#67semidirect
302. C22×C3×C5C2×SD16semidirect
315. C2×C3×D5C2×SD16semidirect
387. C22×D5#215semidirect
392. C5×Q8C2×#67semidirect
423. Dic10C2×#67semidirect
433. C22×Q8D3×D5semidirect
465. C3×D5#448semidirect
485. C3×Q8D4×D5semidirect
519. C22×C5C2×#215semidirect
529. C2×D5C2×#215semidirect
593. C3×C5C2×#448semidirect
603. C22×C3D5×SD16semidirect
627. D5#5227direct (N × H)
646. Q8D5×#67semidirect
683. C5C2×#5227semidirect
700. C22D5×#215semidirect
710. C3D5×#448semidirect

Maximal subgroups

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

subgroupindex
C22×C3×Q8×D52
C2×D5×#2152
D5×#9302
#117513282
C5×#52272
#117492682
#117492672
D5×#8352
#117485322
#117485292
D5×#8302
D5×#4483
C2×#52275