Finite Group Databasebeta

← D5×#5510 #14480584

Subgroups — D5×#5510 #14480584

Order 1920.

3280 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D5×#235C212yesmaximal, complemented
2#11756269C211yesmaximal, characteristic, complemented
3C5×#5510C211yesmaximal, characteristic, complemented
4C2×C3×D5×C4⋊C4C211yesmaximal, characteristic, complemented
5D5×#930C214yesmaximal, complemented
6#11754603C212yesmaximal, complemented
7#11754331C214yesmaximal, complemented
8D5×#897C214yesmaximal, complemented
9D5×#895C214yesmaximal, complemented
10#11753691C214yesmaximal, complemented
11#11753690C214yesmaximal, complemented
12D5×#537—31nomaximal, Hall
13C2×#6817C2212yescomplemented
14C2×C5×#235C2212yescomplemented
15C22×C3×C4×D5C2212yes—
16C22×C3×C4×D5C2211yescharacteristic
17C2×D5×#67C2214yes—
18C2×#6782C2214yescomplemented
19D5×#235—216no—
20C2×D5×D12C2212yes—
21C2×D5×D12C2214yes—
22C2×C4×D3×D5C2214yes—
23C2×#6773C2212yescomplemented
24C2×#6772C2212yescomplemented
25C2×#6771C2214yescomplemented
26C2×D5×Dic6C2212yes—
27C2×C3×C5×C4⋊C4C2211yescharacteristic, complemented
28#91819C2214yescomplemented
29#91786C2214yescomplemented
30#91784C2214yescomplemented
31C5×#930C2214yescomplemented
32C5×#897C2214yescomplemented
33C5×#895C2214yescomplemented
34C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
35C2×C3×#683C2212yescomplemented
36C3×D5×C4⋊C4C2214yes—
37C3×D5×C4⋊C4C2214yescomplemented
38#91566C2218yescomplemented
39D5×(C2×D3)⋊C4C2218yes—
40#91466C2214yescomplemented
41#91460C2214yescomplemented
42#91450C2214yescomplemented
43#91449C2214yescomplemented
44#91448C2218yescomplemented
45#91420C2218yescomplemented
46#91419C2218yescomplemented
47#91417C2218yescomplemented
48#91416C2218yescomplemented
49D5×C4⋊Dic3C2214yes—
50#91383C2214yescomplemented
51#91365C2214yescomplemented
52C2×#5510—51nomaximal, Hall
53C2×D5×#41—32no—
54C5×#537—31no—
55#66167—32no—
56#65963—34no—
57D5×C22⋊Q8—34no—
58#65942—34no—
59D5×#121—34no—
60D5×#121—34no—
61#65931—34no—
62#65844—31no—
63C2×D5×C4⋊C4D311yescharacteristic, complemented
64C23×C3×D5C2311yescharacteristic
65C22×D3×D5C2314yes—
66C22×C3×C4×C5C2312yes—
67C22×C3×C4×C5C2311yescharacteristic
68C2×#1220C2314yes—
69#6817—28no—
70C2×D60C2312yes—
71C2×D60C2314yes—
72C2×C4×D15C2314yes—
73C2×Dic30C2312yes—
74C2×C5×#67C2314yes—
75C5×#235—28no—
76C2×C5×D12C2312yes—
77C2×C5×D12C2314yes—
78C2×C4×C5×D3C2314yes—
79C2×C5×Dic6C2312yes—
80C22×C3×Dic5C2312yes—
81C22×C3×Dic5C2311yescharacteristic
82C2×C3×C4×D5—44no—
83C2×C3×C4×D5D418yescomplemented
84C2×C3×C4×D5C2314yes—
85C2×C3×C4×D5C2314yes—
86C2×C3×C4×D5C2312yes—
87C2×C3×C4×D5C2312yes—
88D5×#67—216no—
89C2×#1204C2314yes—
90C2×#1203C2314yes—
91C2×#1203C2318yes—
92C2×#1202C2314yes—
93C2×#1201C2314yes—
94C2×#1200C2314yes—
95#6782—216no—
96C2×D3×Dic5C2314yes—
97C2×D5×Dic3C2314yes—
98D5×D12—28no—
99D5×D12—48no—
100C4×D3×D5—216no—
101#6773—28no—
102#6772—28no—
103#6771—216no—
104D5×Dic6—28no—
105C3×C5×C4⋊C4C2314yes—
106#6714C2318yes—
107C4⋊Dic15C2314yes—
108C5×(C2×D3)⋊C4C2318yes—
109C5×C4⋊Dic3C2314yes—
110C3×C4⋊Dic5C2314yes—
111C3×#683C2318yes—
112#6668C2318yes—
113#6667C2318yes—
114(C2×D3)⋊Dic5C2318yes—
115C22×#235—52no—
116C22×C3×C4⋊C4—51no—
117C2×#930—54no—
118#5510—52no—
119#5510—51no—
120#5510—54no—
121#5510—54no—
122#5510—54no—
123#5510D511yescharacteristic, direct product factor
124C2×#897—54no—
125C2×#895—54no—
126C2×C5×#41—32no—
127D5×#41—616no—
128C2×#713—32no—
129C2×Q8×D5—32no—
130C2×#711—34no—
131C2×#711—32no—
132C2×D4×D5—34no—
133C2×D4×D5—32no—
134C2×D4×D5—34no—
135C2×#709—32no—
136C2×#709—34no—
137C22×C4×D5—34no—
138C22×C4×D5C2×D312yes—
139C22×C4×D5C2×D311yescharacteristic
140C5×C22⋊Q8—34no—
141C5×#121—34no—
142C5×#121—34no—
143C2×C5×C4⋊C4C2×D311yescharacteristic, complemented
144#4092—34no—
145#4085—38no—
146#4085—38no—
147#4084—34no—
148#4084—34no—
149#4076—34no—
150#4076—34no—
151C2×C4⋊Dic5C2×D311yescharacteristic, complemented
152#4070—34no—
153C2×#683C2×D312yescomplemented
154#4043—34no—
155#4042—38no—
156#4041—34no—
157#4041—34no—
158D5×C4⋊C4—34no—
159D5×C4⋊C4C2×D314yes—
160D5×C4⋊C4C2×D314yescomplemented
161#4030—38no—
162#4030—38no—
163D5×C22⋊C4—38no—
164#4024—38no—
165C2×#537—151noSylow
166C23×C3×C5C2411yescharacteristic
167C22×D15C2414yes—
168C22×C5×D3C2414yes—
169C22×C3×D5—22no—
170C22×C3×D5—22no—
171C22×C3×D5C2×D414yes—
172C22×C3×D5C2411yescharacteristic
173C22×C3×D5C2411yescharacteristic
174C2×D3×D5—28no—
175C2×D3×D5—28no—
176C2×D3×D5—28no—
177C2×C3×C4×C5—42no—
178C2×C3×C4×C5C2×D414yescomplemented
179C2×C3×C4×C5C2414yes—
180C2×C3×C4×C5C2412yes—
181#1220—28no—
182C2×Dic15C2414yes—
183D60—24no—
184D60—44no—
185C4×D15—28no—
186Dic30—24no—
187C5×#67—28no—
188C2×C5×Dic3C2414yes—
189C5×D12—24no—
190C5×D12—44no—
191C4×C5×D3—28no—
192C5×Dic6—24no—
193C2×C3×Dic5—42no—
194C2×C3×Dic5C2×D414yescomplemented
195C2×C3×Dic5C2414yes—
196C2×C3×Dic5C2412yes—
197C3×C4×D5—28no—
198C3×C4×D5—44no—
199C3×C4×D5C2×D418yes—
200C3×C4×D5C2×D418yescomplemented
201#1204—28no—
202#1203—28no—
203#1203—48no—
204#1202—28no—
205#1201—28no—
206#1200—28no—
207D3×Dic5—28no—
208D5×Dic3—28no—
209C23×C3×C4—51no—
210C23×C3×C4—52no—
211C22×#67—54no—
212C2×#235—52no—
213C2×#235—54no—
214C2×#235—52no—
215C2×#235—54no—
216C2×#235—52no—
217C2×#235—1016no—
218C2×#235C2×D512yescomplemented
219C22×D12—52no—
220C22×D12—54no—
221C22×C4×D3—54no—
222C22×Dic6—52no—
223C2×C3×C4⋊C4—52no—
224C2×C3×C4⋊C4—51no—
225C2×C3×C4⋊C4—54no—
226C2×C3×C4⋊C4—54no—
227C2×C3×C4⋊C4C2×D511yescharacteristic, complemented
228#930—54no—
229#930—58no—
230#930—54no—
231#930—58no—
232#930—54no—
233#930C2×D514yescomplemented
234C2×(C2×D3)⋊C4—58no—
235C2×C4⋊Dic3—54no—
236#897—54no—
237#897—54no—
238#897—54no—
239#897—58no—
240#897—58no—
241#897C2×D514yescomplemented
242#895—58no—
243#895—54no—
244#895—54no—
245#895—54no—
246#895—58no—
247#895C2×D514yescomplemented
248C23×D5—34no—
249C23×D5C22×D311yescharacteristic
250C5×#41—68no—
251C2×C5×Q8—32no—
252C2×C5×D4—34no—
253C2×C5×D4—32no—
254C2×C5×D4—34no—
255C22×C4×C5—34no—
256C22×C4×C5C22×D312yes—
257C22×C4×C5C22×D311yescharacteristic
258C2×C22⋊D5—34no—
259C2×C22⋊D5—34no—
260C2×C22⋊D5—34no—
261C2×C22⋊D5—38no—
262C22×Dic5—34no—
263C22×Dic5C22×D312yes—
264C22×Dic5C22×D311yescharacteristic
265#713—68no—
266Q8×D5—68no—
267#711—616no—
268#711—68no—
269D4×D5—616no—
270D4×D5—68no—
271D4×D5—128no—
272#709—68no—
273#709—616no—
274C2×D20—34no—
275C2×D20—32no—
276C2×D20—34no—
277C2×C4×D5—34no—
278C2×C4×D5—34no—
279C2×C4×D5—34no—
280C2×C4×D5—44no—
281C2×C4×D5—616no—
282C2×C4×D5D1218yescomplemented
283C2×C4×D5C22×D314yes—
284C2×C4×D5C22×D314yes—
285C2×C4×D5C22×D312yes—
286C2×C4×D5C22×D312yes—
287C2×Dic10—32no—
288C2×Dic10—34no—
289C5×C4⋊C4—34no—
290C5×C4⋊C4C22×D314yes—
291C5×C22⋊C4—38no—
292C22⋊Dic5—38no—
293#685—38no—
294#685—38no—
295C4⋊Dic5—34no—
296C4⋊Dic5C22×D314yes—
297#683—38no—
298#683C22×D318yes—
299C22×#41—152no—
300#537—31no—
301#537—154no—
302#537—154no—
303#537—154no—
304#537—152no—
305#537—151no—
306C2×C22⋊Q8—154no—
307C2×#121—154no—
308C2×#121—154no—
309C22×C4⋊C4—51no—
310C22×C3×C5—21no—
311C22×C3×C5—21no—
312C22×C3×C5C22×D412yes—
313C22×C3×C5C2511yescharacteristic
314C2×D15—24no—
315C2×D15—24no—
316C2×D15—24no—
317C2×C5×D3—24no—
318C2×C5×D3—24no—
319C2×C5×D3—24no—
320C2×C3×D5—21no—
321C2×C3×D5—21no—
322C2×C3×D5—28no—
323C2×C3×D5C22×D412yes—
324C2×C3×D5C22×D412yes—
325C2×C3×D5H(5,𝔽2)12yes—
326C2×C3×D52−1+412yes—
327D3×D5—416no—
328C3×C4×C5—24no—
329C3×C4×C5C22×D414yes—
330Dic15—24no—
331C3×Dic5—24no—
332C3×Dic5C22×D414yes—
333C5×Dic3—24no—
334C24×C3—51no—
335C23×D3—54no—
336C22×C3×C4—51no—
337C22×C3×C4—58no—
338C22×C3×C4—52no—
339C22×C3×C4—52no—
340C22×C3×C4—52no—
341C22×C3×C4—54no—
342C22×C3×C4—54no—
343C22×C3×C4—204no—
344C22×C3×C4C22×D512yes—
345C22×C3×C4C22×D511yescharacteristic
346C2×#67—54no—
347C2×#67—54no—
348C2×#67—54no—
349C2×#67—1016no—
350C2×#67C22×D514yes—
351C22×Dic3—54no—
352#235—28no—
353#235—108no—
354#235—1016no—
355#235—108no—
356#235—1016no—
357#235—108no—
358C2×D12—54no—
359C2×D12—52no—
360C2×D12—58no—
361C2×D12—54no—
362C2×D12—108no—
363C2×D12—208no—
364C2×D12C22×D512yes—
365C2×D12C22×D514yes—
366C2×C4×D3—54no—
367C2×C4×D3—54no—
368C2×C4×D3—54no—
369C2×C4×D3—1016no—
370C2×C4×D3C22×D514yes—
371C2×Dic6—52no—
372C2×Dic6—54no—
373C2×Dic6—108no—
374C2×Dic6C22×D512yes—
375C3×C4⋊C4—58no—
376C3×C4⋊C4—54no—
377C3×C4⋊C4C22×D514yes—
378(C2×D3)⋊C4—58no—
379(C2×D3)⋊C4—58no—
380(C2×D3)⋊C4—58no—
381(C2×D3)⋊C4C22×D518yes—
382C4⋊Dic3—54no—
383C4⋊Dic3—58no—
384C4⋊Dic3C22×D514yes—
385C23×C5—34no—
386C23×C5C23×D311yescharacteristic
387C22×D5—22no—
388C22×D5—22no—
389C22×D5—34no—
390C22×D5—68no—
391C22×D5—68no—
392C22×D5—68no—
393C22×D5C2×D1214yes—
394C22×D5C23×D311yescharacteristic
395C22×D5C23×D311yescharacteristic
396C5×Q8—64no—
397C5×D4—68no—
398C5×D4—64no—
399C5×D4—124no—
400C2×C4×C5—34no—
401C2×C4×C5—42no—
402C2×C4×C5—68no—
403C2×C4×C5C2×D1214yescomplemented
404C2×C4×C5C23×D314yes—
405C2×C4×C5C23×D312yes—
406C22⋊D5—68no—
407C22⋊D5—68no—
408C22⋊D5—68no—
409C22⋊D5—128no—
410C2×Dic5—34no—
411C2×Dic5—42no—
412C2×Dic5—68no—
413C2×Dic5C2×D1214yescomplemented
414C2×Dic5C23×D314yes—
415C2×Dic5C23×D312yes—
416D20—68no—
417D20—64no—
418D20—124no—
419C4×D5—28no—
420C4×D5—44no—
421C4×D5—68no—
422C4×D5—68no—
423C4×D5—68no—
424C4×D5C2×D1218yes—
425C4×D5C2×D1218yescomplemented
426Dic10—64no—
427Dic10—68no—
428C2×#41—32no—
429C2×#41—154no—
430C2×#41—154no—
431C2×#41—152no—
432C2×#41—152no—
433C2×#41—152no—
434C2×#41—3016no—
435C22×Q8—152no—
436C22×D4—152no—
437C22×D4—154no—
438C22×D4—154no—
439C23×C4—51no—
440C23×C4—52no—
441C23×C4—154no—
442C22⋊Q8—34no—
443C22⋊Q8—158no—
444C22⋊Q8—158no—
445C22⋊Q8—154no—
446C22⋊Q8—154no—
447C22⋊Q8—154no—
448#121—34no—
449#121—34no—
450#121—158no—
451#121—158no—
452#121—154no—
453#121—154no—
454#121—154no—
455#121—158no—
456#121—154no—
457#121—158no—
458#121—154no—
459#121—154no—
460C2×C4⋊C4—52no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—54no—
463C2×C4⋊C4—54no—
464C2×C4⋊C4—154no—
465C2×C4⋊C4D3×D511yescharacteristic, complemented
466C2×C22⋊C4—158no—
467C2×C3×C5—22no—
468C2×C3×C5C23×D411yescharacteristic
469C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
470C2×C3×C5C2×2−1+411yescharacteristic
471D15—44no—
472C3×D5—22no—
473C3×D5#53714yescomplemented
474C5×D3—44no—
475C23×C3—51no—
476C23×C3—54no—
477C23×C3—51no—
478C23×C3—102no—
479C23×C3—102no—
480C23×C3C23×D511yescharacteristic
481C22×D3—54no—
482C22×D3—108no—
483C22×D3—108no—
484C22×D3—108no—
485C22×D3C23×D514yes—
486C2×C3×C4—42no—
487C2×C3×C4—54no—
488C2×C3×C4—52no—
489C2×C3×C4—58no—
490C2×C3×C4—58no—
491C2×C3×C4—54no—
492C2×C3×C4—108no—
493C2×C3×C4—204no—
494C2×C3×C4—202no—
495C2×C3×C4D4×D514yescomplemented
496C2×C3×C4C23×D514yes—
497C2×C3×C4C23×D512yes—
498#67—28no—
499#67—108no—
500#67—108no—
501#67—108no—
502C2×Dic3—54no—
503C2×Dic3—108no—
504C2×Dic3C23×D514yes—
505D12—24no—
506D12—44no—
507D12—108no—
508D12—104no—
509D12—204no—
510D12—208no—
511C4×D3—28no—
512C4×D3—108no—
513C4×D3—108no—
514C4×D3—108no—
515Dic6—24no—
516Dic6—108no—
517Dic6—104no—
518C22×C5—21no—
519C22×C5—21no—
520C22×C5—64no—
521C22×C5—64no—
522C22×C5—64no—
523C22×C5C22×D1212yes—
524C22×C5C24×D311yescharacteristic
525C2×D5—21no—
526C2×D5—21no—
527C2×D5—28no—
528C2×D5—64no—
529C2×D5—64no—
530C2×D5—64no—
531C2×D5—1216no—
532C2×D5C22×D1212yes—
533C2×D5C22×D1212yes—
534C2×D5#100412yes—
535C2×D5#100712yes—
536C4×C5—24no—
537C4×C5—64no—
538C4×C5C22×D1214yes—
539Dic5—24no—
540Dic5—64no—
541Dic5C22×D1214yes—
542C24—51no—
543C24—154no—
544#41—68no—
545#41—3016no—
546#41—3016no—
547#41—308no—
548#41—308no—
549#41—308no—
550C2×Q8—32no—
551C2×Q8—154no—
552C2×Q8—152no—
553C2×Q8—308no—
554C2×D4—34no—
555C2×D4—32no—
556C2×D4—34no—
557C2×D4—154no—
558C2×D4—154no—
559C2×D4—158no—
560C2×D4—154no—
561C2×D4—154no—
562C2×D4—152no—
563C2×D4—154no—
564C2×D4—308no—
565C2×D4—3016no—
566C2×D4—608no—
567C22×C4—34no—
568C22×C4—51no—
569C22×C4—58no—
570C22×C4—52no—
571C22×C4—52no—
572C22×C4—52no—
573C22×C4—54no—
574C22×C4—54no—
575C22×C4—154no—
576C22×C4—154no—
577C22×C4—154no—
578C22×C4—154no—
579C22×C4—204no—
580C22×C4—3016no—
581C22×C4C2×D3×D512yes—
582C22×C4C2×D3×D511yescharacteristic
583C4⋊C4—34no—
584C4⋊C4—58no—
585C4⋊C4—54no—
586C4⋊C4—158no—
587C4⋊C4—154no—
588C4⋊C4C2×D3×D514yes—
589C22⋊C4—38no—
590C22⋊C4—158no—
591C22⋊C4—158no—
592C22⋊C4—158no—
593C3×C5C2×#53711yescharacteristic, 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×C3C2×D4×D512yes—
604C22×C3C24×D511yescharacteristic
605C2×D3—24no—
606C2×D3—24no—
607C2×D3—24no—
608C2×D3—104no—
609C2×D3—104no—
610C2×D3—104no—
611C2×D3—2016no—
612C3×C4—24no—
613C3×C4—54no—
614C3×C4—104no—
615C3×C4C2×D4×D514yes—
616Dic3—24no—
617Dic3—104no—
618C2×C5—22no—
619C2×C5—124no—
620C2×C5C23×D1211yescharacteristic
621C2×C5C2×#100411yescharacteristic
622C2×C5C2×#100711yescharacteristic
623D5—22no—
624D5—124no—
625D5#551014yesdirect product factor
626C23—34no—
627C23—51no—
628C23—54no—
629C23—51no—
630C23—102no—
631C23—102no—
632C23—154no—
633C23—308no—
634C23—308no—
635C23—308no—
636C23C22×D3×D511yescharacteristic
637Q8—64no—
638Q8—308no—
639Q8—304no—
640D4—68no—
641D4—64no—
642D4—124no—
643D4—308no—
644D4—308no—
645D4—308no—
646D4—308no—
647D4—304no—
648D4—604no—
649D4—608no—
650C2×C4—34no—
651C2×C4—42no—
652C2×C4—54no—
653C2×C4—52no—
654C2×C4—58no—
655C2×C4—58no—
656C2×C4—54no—
657C2×C4—68no—
658C2×C4—108no—
659C2×C4—154no—
660C2×C4—204no—
661C2×C4—202no—
662C2×C4—308no—
663C2×C4—308no—
664C2×C4—308no—
665C2×C4—308no—
666C2×C4D5×D1214yescomplemented
667C2×C4C22×D3×D514yes—
668C2×C4C22×D3×D512yes—
669C2×C3—22no—
670C2×C3—54no—
671C2×C3—102no—
672C2×C3C22×D4×D511yescharacteristic
673C2×C3D5×H(5,𝔽2)11yescharacteristic
674C2×C3D5×2−1+411yescharacteristic
675D3—44no—
676D3—204no—
677C5C2×#551011yescharacteristic, complemented, Sylow
678C22—21no—
679C22—21no—
680C22—52no—
681C22—52no—
682C22—52no—
683C22—52no—
684C22—64no—
685C22—64no—
686C22—64no—
687C22—108no—
688C22—101no—
689C22—101no—
690C22—304no—
691C22—304no—
692C22—304no—
693C22—6016no—
694C22C2×D5×D1212yes—
695C22C23×D3×D511yescharacteristic
696C4—24no—
697C4—54no—
698C4—64no—
699C4—104no—
700C4—304no—
701C4C2×D5×D1214yes—
702C3D5×#53711yescharacteristic, complemented, Sylow
703C2—22no—
704C2—54no—
705C2—102no—
706C2—124no—
707C2—604no—
708C2C22×D5×D1211yescharacteristic
709C2D5×#100411yescharacteristic
710C2D5×#100711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC2×C3×C5×C4⋊C4C22
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C2×#537
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×D5×#235C2semidirect
2. #11756269C2semidirect
3. C5×#5510C2semidirect
4. C2×C3×D5×C4⋊C4C2semidirect
5. D5×#930C2semidirect
6. #11754603C2semidirect
7. #11754331C2semidirect
8. D5×#897C2semidirect
9. D5×#895C2semidirect
10. #11753691C2semidirect
11. #11753690C2semidirect
13. C2×#6817C22semidirect
14. C2×C5×#235C22semidirect
18. C2×#6782C22semidirect
23. C2×#6773C22semidirect
24. C2×#6772C22semidirect
25. C2×#6771C22semidirect
27. C2×C3×C5×C4⋊C4C22semidirect
28. #91819C22semidirect
29. #91786C22semidirect
30. #91784C22semidirect
31. C5×#930C22semidirect
32. C5×#897C22semidirect
33. C5×#895C22semidirect
34. C2×C3×C4⋊Dic5C22semidirect
35. C2×C3×#683C22semidirect
37. C3×D5×C4⋊C4C22semidirect
38. #91566C22semidirect
40. #91466C22semidirect
41. #91460C22semidirect
42. #91450C22semidirect
43. #91449C22semidirect
44. #91448C22semidirect
45. #91420C22semidirect
46. #91419C22semidirect
47. #91417C22semidirect
48. #91416C22semidirect
50. #91383C22semidirect
51. #91365C22semidirect
63. C2×D5×C4⋊C4D3semidirect
83. C2×C3×C4×D5D4semidirect
123. #5510D5direct (N × H)
143. C2×C5×C4⋊C4C2×D3semidirect
151. C2×C4⋊Dic5C2×D3semidirect
153. C2×#683C2×D3semidirect
160. D5×C4⋊C4C2×D3semidirect
178. C2×C3×C4×C5C2×D4semidirect
194. C2×C3×Dic5C2×D4semidirect
200. C3×C4×D5C2×D4semidirect
218. C2×#235C2×D5semidirect
227. C2×C3×C4⋊C4C2×D5semidirect
233. #930C2×D5semidirect
241. #897C2×D5semidirect
247. #895C2×D5semidirect
282. C2×C4×D5D12semidirect
403. C2×C4×C5C2×D12semidirect
413. C2×Dic5C2×D12semidirect
425. C4×D5C2×D12semidirect
465. C2×C4⋊C4D3×D5semidirect
473. C3×D5#537semidirect
495. C2×C3×C4D4×D5semidirect
593. C3×C5C2×#537semidirect
625. D5#5510direct (N × H)
666. C2×C4D5×D12semidirect
677. C5C2×#5510semidirect
702. C3D5×#537semidirect

Maximal subgroups

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

subgroupindex
C2×D5×#2352
#117562692
C5×#55102
C2×C3×D5×C4⋊C42
D5×#9302
#117546032
#117543312
D5×#8972
D5×#8952
#117536912
#117536902
D5×#5373
C2×#55105