Finite Group Databasebeta

← #14479223

Subgroups — #14479223

Order 1920.

3320 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92095C211yesmaximal, characteristic
2C5×#5798C211yesmaximal, characteristic, complemented
3C2×C3×D4×Dic5C211yesmaximal, characteristic, complemented
4#11755413C214yesmaximal, complemented
5C2×#91552C214yesmaximal, complemented
6#11754922C214yesmaximal, complemented
7#11754916C214yesmaximal, complemented
8#11754853C214yesmaximal, complemented
9D4×#1200C214yesmaximal, complemented
10#11754496C212yesmaximal, complemented
11#11754414C212yesmaximal, complemented
12#10617758—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C22×#1220C2214yes—
15#92095C4116yescomplemented
16C2×#6819C2214yes—
17C2×D4×D15C2214yes—
18C2×#6817C2212yes—
19C23×C3×Dic5C2212yescomplemented
20C22×#1200C2214yescomplemented
21C2×C5×#217C2214yescomplemented
22C5×D4×Dic3C2214yescomplemented
23C5×D4×Dic3C2214yescomplemented
24C5×#926C2212yescomplemented
25C2×C3×C22⋊Dic5C2212yescomplemented
26C3×D4×Dic5C2214yescomplemented
27C3×D4×Dic5C2214yescomplemented
28C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
29C2×C3×C4×Dic5C2211yescharacteristic, complemented
30#91561C2218yescomplemented
31#91556C2218yescomplemented
32#91556C2218yescomplemented
33#91552C2218yescomplemented
34#91552C2218yescomplemented
35#91552C2214yescomplemented
36#91552C2218yescomplemented
37#91552C2214yescomplemented
38C2×#6669C2214yescomplemented
39C2×#6667C2214yescomplemented
40#91532C2218yescomplemented
41C2×Dic3×Dic5C2214yescomplemented
42#91437C2214yescomplemented
43#91428C2214yescomplemented
44#91418C2212yescomplemented
45#91418C2212yescomplemented
46C4×#1200C2214yescomplemented
47#91386C2214yescomplemented
48#91347C2214yescomplemented
49#91340C2214yescomplemented
50#91333C2212yescomplemented
51#91333C2212yescomplemented
52C4×#1004—51nomaximal, Hall
53C2×#4144—31no—
54C5×#518—31no—
55C2×D4×Dic5D311yescharacteristic, complemented
56#65880—34no—
57#65879—34no—
58C4×D4×D5—34no—
59C4×#711—34no—
60#65857—32no—
61#65856—32no—
62#65820—34no—
63C2×#4027—34no—
64C24×C3×C5C2312yes—
65C23×D15C2314yes—
66C2×C3×C5×D4C2×C418yescomplemented
67C2×C3×C5×D4C2314yes—
68C22×C3×C4×C5C2311yescharacteristic
69C2×#1220C2×C4132yescomplemented
70C2×#1220C2314yes—
71C2×#1220C2318yes—
72C22×Dic15C2314yes—
73#6819C2×C4132yescomplemented
74D4×D15C2×C4132yescomplemented
75#6817C2×C4116yescomplemented
76C2×D60C2312yes—
77C2×C4×D15C2314yes—
78C2×Dic30C2312yes—
79C22×C5×Dic3C2314yes—
80C22×C5×Dic3C2314yes—
81C22×C3×Dic5—44no—
82C22×C3×Dic5C2314yes—
83C22×C3×Dic5C2311yescharacteristic
84C22×C3×Dic5C2314yes—
85C22×C3×Dic5C2311yescharacteristic
86C22×C3×Dic5C2312yes—
87C2×#1200—48no—
88C2×#1200C2314yes—
89C2×#1200C2314yes—
90C2×#1200C2318yes—
91C5×#217C2314yes—
92C5×#217C2318yes—
93C5×C4⋊Dic3C2312yes—
94C5×C4⋊Dic3C2312yes—
95C4×C5×Dic3C2314yes—
96C3×C22⋊Dic5C2318yes—
97C3×C4⋊Dic5C2314yes—
98C3×C4×Dic5C2312yes—
99C3×C4×Dic5C2312yes—
100#6669C2318yes—
101#6669C2314yes—
102#6669C2314yes—
103#6667C2314yes—
104#6667C2314yes—
105#6667C2318yes—
106Dic3×Dic5C2314yes—
107Dic3×Dic5C2314yes—
108Dic3×Dic5C2318yes—
109C2×#1004—51no—
110C2×C3×C4×D4—51no—
111#5798D511yescharacteristic, complemented
112C2×C4×#67—54no—
113#5546—54no—
114#5545—54no—
115C4×D3×D4—54no—
116C4×#237—54no—
117#5504—52no—
118#5486—54no—
119C4×#235—52no—
120C22×C5×D4C2×D311yescharacteristic
121C22×C22⋊D5—34no—
122C23×Dic5C2×D312yescomplemented
123#4144—316no—
124C2×#711—34no—
125C2×D4×D5—34no—
126C2×#709—32no—
127C22×C4×D5—34no—
128C4×C5×D4—34no—
129C4×C5×D4—34no—
130C5×#117—32no—
131C2×C5×C22⋊C4—34no—
132C2×C22⋊Dic5C2×D312yescomplemented
133D4×Dic5C2×D314yescomplemented
134D4×Dic5C2×D314yescomplemented
135C4×C22⋊D5—38no—
136C4×C22⋊D5—38no—
137C2×#685—34no—
138C2×C4⋊Dic5C2×D311yescharacteristic, complemented
139C2×#683—34no—
140C2×C4×Dic5—34no—
141C2×C4×Dic5C2×D311yescharacteristic, complemented
142#4039—32no—
143#4039—32no—
144#4038—34no—
145D5×C4⋊C4—34no—
146#4033—32no—
147#4033—32no—
148#4027—34no—
149#4027—38no—
150#4027—38no—
151#4027—38no—
152#4027—34no—
153D5×C22⋊C4—38no—
154#4023—38no—
155C4×D20—34no—
156#4018—34no—
157C42×D5—34no—
158C4×Dic10—34no—
159C4×H(5,𝔽2)—151noSylow
160C23×C3×C5—42no—
161C23×C3×C5—42no—
162C23×C3×C5C22×C418yescomplemented
163C23×C3×C5C2414yes—
164C23×C3×C5C2411yescharacteristic
165C22×D15—44no—
166C22×D15—44no—
167C22×D15C22×C4116yescomplemented
168C22×D15C2414yes—
169C3×C5×D4C22×C4116yescomplemented
170C2×C3×C4×C5C22×C414yescomplemented
171C2×C3×C4×C5C2412yes—
172#1220C22×C4116yescomplemented
173#1220C22×C4132yescomplemented
174C2×Dic15C22×C4116yescomplemented
175C2×Dic15C2414yes—
176D60C22×C418yescomplemented
177C4×D15C22×C4116yescomplemented
178Dic30C22×C418yescomplemented
179C2×C5×Dic3—44no—
180C2×C5×Dic3—44no—
181C2×C5×Dic3C2414yes—
182C2×C5×Dic3C2414yes—
183C2×C3×Dic5—28no—
184C2×C3×Dic5—22no—
185C2×C3×Dic5—42no—
186C2×C3×Dic5—44no—
187C2×C3×Dic5—41no—
188C2×C3×Dic5C2412yes—
189C2×C3×Dic5C2414yes—
190C2×C3×Dic5C2411yescharacteristic
191C2×C3×Dic5C2411yescharacteristic
192#1200—28no—
193#1200—48no—
194#1200—44no—
195C22×C3×D4C2×D511yescharacteristic
196C23×C3×C4—52no—
197C22×#67—54no—
198#1004—516no—
199C2×#237—54no—
200C2×D3×D4—54no—
201C2×#235—52no—
202C22×C4×D3—54no—
203C3×C4×D4—54no—
204C3×C4×D4—54no—
205C2×C3×C4⋊C4—51no—
206C2×C3×C22⋊C4—52no—
207C2×C3×C42—51no—
208C2×#217C2×D514yescomplemented
209D4×Dic3C2×D514yescomplemented
210D4×Dic3C2×D514yescomplemented
211C4×#67—54no—
212C4×#67—54no—
213C4×#67—58no—
214C4×#67—58no—
215C4×#67—58no—
216C2×(C2×D3)⋊C4—54no—
217#926C2×D512yescomplemented
218C2×Dic3⋊C4—54no—
219C2×C4×Dic3—54no—
220#893—54no—
221#892—54no—
222D3×C4⋊C4—54no—
223#887—54no—
224#67⋊C4—58no—
225#67⋊C4—58no—
226D3×C22⋊C4—58no—
227#877—58no—
228C4×D12—52no—
229C4×D12—52no—
230#872—54no—
231C42×D3—54no—
232C4×Dic6—52no—
233C4×Dic6—52no—
234C24×C5C22×D312yes—
235C23×D5—34no—
236C2×C5×D4C4×D318yescomplemented
237C2×C5×D4C22×D314yes—
238C22×C4×C5—34no—
239C22×C4×C5—34no—
240C22×C4×C5C22×D311yescharacteristic
241C2×C22⋊D5—332no—
242C2×C22⋊D5—34no—
243C2×C22⋊D5—38no—
244C22×Dic5—34no—
245C22×Dic5—44no—
246C22×Dic5C22×D314yes—
247C22×Dic5C22×D311yescharacteristic
248C22×Dic5C22×D311yescharacteristic
249C22×Dic5C22×D312yes—
250C22×Dic5C22×D314yes—
251#711—332no—
252D4×D5—332no—
253#709—316no—
254C2×D20—32no—
255C2×C4×D5—34no—
256C2×C4×D5—34no—
257C2×C4×D5—38no—
258C2×C4×D5—34no—
259C2×C4×D5—128no—
260C2×Dic10—32no—
261C5×C4⋊C4—32no—
262C5×C4⋊C4—32no—
263C5×C22⋊C4—34no—
264C5×C22⋊C4—38no—
265C42×C5—34no—
266C22⋊Dic5C22×D318yes—
267#685—34no—
268#685—34no—
269#685—38no—
270C4⋊Dic5C22×D314yes—
271#683—38no—
272#683—34no—
273#683—34no—
274C4×Dic5—38no—
275C4×Dic5—34no—
276C4×Dic5—34no—
277C4×Dic5C22×D312yes—
278C4×Dic5C22×D312yes—
279C2×H(5,𝔽2)—151no—
280#520—152no—
281#520—154no—
282#518—31no—
283#518—154no—
284#518—154no—
285C4×#41—152no—
286C4×#41—154no—
287C2×C4×D4—51no—
288C2×C4×D4—154no—
289C2×C4×D4—154no—
290C22×C3×C5—21no—
291C22×C3×C5—24no—
292C22×C3×C5—21no—
293C22×C3×C5—24no—
294C22×C3×C5—48no—
295C22×C3×C5C23×C418yes—
296C22×C3×C5C23×C412yes—
297C22×C3×C5C2511yescharacteristic
298C2×D15—24no—
299C2×D15—24no—
300C2×D15—416no—
301C2×D15C23×C418yes—
302C3×C4×C5C23×C414yes—
303Dic15C23×C418yes—
304C3×Dic5—24no—
305C3×Dic5—21no—
306C3×Dic5—22no—
307C3×Dic5H(5,𝔽2)12yescomplemented
308C5×Dic3—24no—
309C5×Dic3—24no—
310C24×C3C22×D512yes—
311C23×D3—54no—
312C2×C3×D4C4×D518yescomplemented
313C2×C3×D4C22×D514yes—
314C22×C3×C4—54no—
315C22×C3×C4—51no—
316C22×C3×C4—54no—
317C22×C3×C4—51no—
318C22×C3×C4—52no—
319C22×C3×C4—204no—
320C22×C3×C4C22×D511yescharacteristic
321C2×#67—532no—
322C2×#67—58no—
323C2×#67—54no—
324C22×Dic3—54no—
325C22×Dic3C22×D514yes—
326C22×Dic3C22×D514yes—
327#237—532no—
328D3×D4—532no—
329#235—516no—
330C2×D12—52no—
331C2×C4×D3—54no—
332C2×C4×D3—54no—
333C2×C4×D3—54no—
334C2×C4×D3—58no—
335C2×C4×D3—208no—
336C2×Dic6—52no—
337C3×C4⋊C4—54no—
338C3×C22⋊C4—58no—
339C3×C42—52no—
340C3×C42—52no—
341#217C22×D518yes—
342#217C22×D514yes—
343(C2×D3)⋊C4—54no—
344(C2×D3)⋊C4—54no—
345(C2×D3)⋊C4—58no—
346C4⋊Dic3C22×D512yes—
347C4⋊Dic3C22×D512yes—
348Dic3⋊C4—54no—
349Dic3⋊C4—54no—
350Dic3⋊C4—58no—
351C4×Dic3—54no—
352C4×Dic3—54no—
353C4×Dic3—58no—
354C4×Dic3C22×D514yes—
355C23×C5—42no—
356C23×C5—42no—
357C23×C5C2×C4×D318yescomplemented
358C23×C5C23×D314yes—
359C23×C5C23×D311yescharacteristic
360C22×D5—34no—
361C22×D5—316no—
362C22×D5—124no—
363C22×D5—124no—
364C5×D4C2×C4×D3116yescomplemented
365C2×C4×C5—34no—
366C2×C4×C5—34no—
367C2×C4×C5—124no—
368C2×C4×C5—124no—
369C2×C4×C5C2×C4×D314yescomplemented
370C2×C4×C5C23×D312yes—
371C22⋊D5—316no—
372C22⋊D5—332no—
373C2×Dic5—28no—
374C2×Dic5—22no—
375C2×Dic5—316no—
376C2×Dic5—34no—
377C2×Dic5—42no—
378C2×Dic5—44no—
379C2×Dic5—41no—
380C2×Dic5C23×D312yes—
381C2×Dic5C23×D314yes—
382C2×Dic5C23×D311yescharacteristic
383C2×Dic5C23×D311yescharacteristic
384D20—38no—
385C4×D5—316no—
386C4×D5—68no—
387C4×D5—124no—
388C4×D5—128no—
389Dic10—38no—
390H(5,𝔽2)—1516no—
391C2×#41—154no—
392C2×#41—152no—
393C22×D4—154no—
394C22×D4—154no—
395C22×D4D3×D511yescharacteristic
396C23×C4—52no—
397C23×C4—154no—
398C4×Q8—154no—
399C4×Q8—152no—
400C4×Q8—152no—
401C4×D4—34no—
402C4×D4—34no—
403C4×D4—54no—
404C4×D4—54no—
405C4×D4—154no—
406C4×D4—152no—
407C4×D4—152no—
408C4×D4—154no—
409C4×D4—158no—
410C4×D4—158no—
411C4×D4—158no—
412C4×D4—154no—
413C4×D4—158no—
414C4×D4—158no—
415#117—32no—
416#117—154no—
417#117—158no—
418#117—154no—
419C2×C4⋊C4—51no—
420C2×C4⋊C4—154no—
421C2×C4⋊C4—154no—
422C2×C22⋊C4—34no—
423C2×C22⋊C4—52no—
424C2×C22⋊C4—158no—
425C2×C22⋊C4—154no—
426C2×C42—51no—
427C2×C42—154no—
428C2×C42—154no—
429C2×C3×C5—28no—
430C2×C3×C5—22no—
431C2×C3×C5C24×C411yescharacteristic
432C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
433C2×C3×C5#58511yescharacteristic
434D15—28no—
435C23×C3—42no—
436C23×C3—42no—
437C23×C3C2×C4×D518yescomplemented
438C23×C3C23×D511yescharacteristic
439C23×C3C23×D514yes—
440C22×D3—54no—
441C22×D3—516no—
442C22×D3—204no—
443C22×D3—204no—
444C3×D4C2×C4×D5116yescomplemented
445C2×C3×C4—51no—
446C2×C3×C4—52no—
447C2×C3×C4—54no—
448C2×C3×C4—51no—
449C2×C3×C4—108no—
450C2×C3×C4—102no—
451C2×C3×C4—201no—
452C2×C3×C4—202no—
453C2×C3×C4—204no—
454C2×C3×C4C2×C4×D514yescomplemented
455C2×C3×C4C23×D512yes—
456#67—516no—
457#67—532no—
458C2×Dic3—44no—
459C2×Dic3—44no—
460C2×Dic3—516no—
461C2×Dic3—54no—
462C2×Dic3C23×D514yes—
463C2×Dic3C23×D514yes—
464D12—58no—
465C4×D3—516no—
466C4×D3—108no—
467C4×D3—204no—
468C4×D3—208no—
469Dic6—58no—
470C22×C5—21no—
471C22×C5—24no—
472C22×C5—21no—
473C22×C5—24no—
474C22×C5—48no—
475C22×C5C22×C4×D318yes—
476C22×C5C22×C4×D312yes—
477C22×C5C24×D311yescharacteristic
478C2×D5—38no—
479C2×D5—64no—
480C2×D5—64no—
481C2×D5—1216no—
482C4×C5—64no—
483C4×C5—64no—
484C4×C5C22×C4×D314yes—
485Dic5—24no—
486Dic5—21no—
487Dic5—22no—
488Dic5—38no—
489Dic5#100412yescomplemented
490C24—154no—
491C24C2×D3×D512yes—
492#41—1532no—
493#41—1516no—
494C2×Q8—152no—
495C2×D4—1532no—
496C2×D4—154no—
497C2×D4—158no—
498C2×D4—1532no—
499C2×D4—152no—
500C2×D4#120018yescomplemented
501C2×D4C2×D3×D514yes—
502C22×C4—34no—
503C22×C4—34no—
504C22×C4—51no—
505C22×C4—54no—
506C22×C4—51no—
507C22×C4—52no—
508C22×C4—54no—
509C22×C4—154no—
510C22×C4—154no—
511C22×C4—158no—
512C22×C4—154no—
513C22×C4—154no—
514C22×C4—204no—
515C22×C4—608no—
516C22×C4C2×D3×D511yescharacteristic
517C4⋊C4—32no—
518C4⋊C4—32no—
519C4⋊C4—54no—
520C4⋊C4—154no—
521C4⋊C4—158no—
522C4⋊C4—154no—
523C22⋊C4—34no—
524C22⋊C4—38no—
525C22⋊C4—58no—
526C22⋊C4—154no—
527C22⋊C4—158no—
528C22⋊C4—154no—
529C42—34no—
530C42—52no—
531C42—52no—
532C42—154no—
533C42—158no—
534C42—154no—
535C3×C5C4×H(5,𝔽2)11yescharacteristic, complemented, Hall
536C22×C3—24no—
537C22×C3—21no—
538C22×C3—24no—
539C22×C3—21no—
540C22×C3—48no—
541C22×C3C22×C4×D518yes—
542C22×C3C22×C4×D512yes—
543C22×C3C24×D511yescharacteristic
544C2×D3—58no—
545C2×D3—104no—
546C2×D3—104no—
547C2×D3—2016no—
548C3×C4—52no—
549C3×C4—104no—
550C3×C4—101no—
551C3×C4—102no—
552C3×C4C22×C4×D514yes—
553Dic3—24no—
554Dic3—24no—
555Dic3—58no—
556C2×C5—28no—
557C2×C5—22no—
558C2×C5C23×C4×D311yescharacteristic
559C2×C5C2×#100411yescharacteristic
560C2×C5#596411yescharacteristic
561D5—68no—
562C23—42no—
563C23—42no—
564C23—154no—
565C23—1516no—
566C23—604no—
567C23—604no—
568C23C2×#120018yescomplemented
569C23C22×D3×D511yescharacteristic
570C23C22×D3×D514yes—
571Q8—158no—
572D4—1532no—
573D4—1516no—
574D4—158no—
575D4C2×#1200116yescomplemented
576C2×C4—34no—
577C2×C4—34no—
578C2×C4—51no—
579C2×C4—52no—
580C2×C4—51no—
581C2×C4—54no—
582C2×C4—102no—
583C2×C4—108no—
584C2×C4—124no—
585C2×C4—124no—
586C2×C4—1516no—
587C2×C4—154no—
588C2×C4—1516no—
589C2×C4—204no—
590C2×C4—202no—
591C2×C4—201no—
592C2×C4—308no—
593C2×C4—608no—
594C2×C4—604no—
595C2×C4C2×#120014yescomplemented
596C2×C4C22×D3×D512yes—
597C2×C3—28no—
598C2×C3—22no—
599C2×C3C23×C4×D511yescharacteristic
600C2×C3D5×H(5,𝔽2)11yescharacteristic
601C2×C3#6628511yescharacteristic
602D3—108no—
603C5C4×#100411yescharacteristic, complemented, Sylow
604C22—24no—
605C22—21no—
606C22—24no—
607C22—21no—
608C22—48no—
609C22—158no—
610C22—304no—
611C22—304no—
612C22—6016no—
613C22C22×#120018yes—
614C22C22×#120012yes—
615C22C23×D3×D511yescharacteristic
616C4—52no—
617C4—64no—
618C4—64no—
619C4—101no—
620C4—104no—
621C4—102no—
622C4—158no—
623C4C22×#120014yes—
624C3#1061775811yescharacteristic, complemented, Sylow
625C2—22no—
626C2—28no—
627C2—308no—
628C2D5×#100411yescharacteristic
629C2#1175703411yescharacteristic
630C2C23×#120011yescharacteristic
subgroupG/H
center, FrattiniC22C23×D3×D5
commutatorC2×C3×C5C24×C4
FittingC22×C3×C5×D4C22
socle, cosocleC22×C3×C5C25
prime radicalC2×#92095C2
hypercenterC22×D4D3×D5
hypocenterC3×C5C4×H(5,𝔽2)
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. C5×#5798C2semidirect
3. C2×C3×D4×Dic5C2semidirect
4. #11755413C2semidirect
5. C2×#91552C2semidirect
6. #11754922C2semidirect
7. #11754916C2semidirect
8. #11754853C2semidirect
9. D4×#1200C2semidirect
10. #11754496C2semidirect
11. #11754414C2semidirect
15. #92095C4semidirect
19. C23×C3×Dic5C22semidirect
20. C22×#1200C22semidirect
21. C2×C5×#217C22semidirect
22. C5×D4×Dic3C22semidirect
23. C5×D4×Dic3C22semidirect
24. C5×#926C22semidirect
25. C2×C3×C22⋊Dic5C22semidirect
26. C3×D4×Dic5C22semidirect
27. C3×D4×Dic5C22semidirect
28. C2×C3×C4⋊Dic5C22semidirect
29. C2×C3×C4×Dic5C22semidirect
30. #91561C22semidirect
31. #91556C22semidirect
32. #91556C22semidirect
33. #91552C22semidirect
34. #91552C22semidirect
35. #91552C22semidirect
36. #91552C22semidirect
37. #91552C22semidirect
38. C2×#6669C22semidirect
39. C2×#6667C22semidirect
40. #91532C22semidirect
41. C2×Dic3×Dic5C22semidirect
42. #91437C22semidirect
43. #91428C22semidirect
44. #91418C22semidirect
45. #91418C22semidirect
46. C4×#1200C22semidirect
47. #91386C22semidirect
48. #91347C22semidirect
49. #91340C22semidirect
50. #91333C22semidirect
51. #91333C22semidirect
55. C2×D4×Dic5D3semidirect
66. C2×C3×C5×D4C2×C4semidirect
69. C2×#1220C2×C4semidirect
73. #6819C2×C4semidirect
74. D4×D15C2×C4semidirect
75. #6817C2×C4semidirect
111. #5798D5semidirect
122. C23×Dic5C2×D3semidirect
132. C2×C22⋊Dic5C2×D3semidirect
133. D4×Dic5C2×D3semidirect
134. D4×Dic5C2×D3semidirect
138. C2×C4⋊Dic5C2×D3semidirect
141. C2×C4×Dic5C2×D3semidirect
162. C23×C3×C5C22×C4semidirect
167. C22×D15C22×C4semidirect
169. C3×C5×D4C22×C4semidirect
170. C2×C3×C4×C5C22×C4semidirect
172. #1220C22×C4semidirect
173. #1220C22×C4semidirect
174. C2×Dic15C22×C4semidirect
176. D60C22×C4semidirect
177. C4×D15C22×C4semidirect
178. Dic30C22×C4semidirect
208. C2×#217C2×D5semidirect
209. D4×Dic3C2×D5semidirect
210. D4×Dic3C2×D5semidirect
217. #926C2×D5semidirect
236. C2×C5×D4C4×D3semidirect
307. C3×Dic5H(5,𝔽2)semidirect
312. C2×C3×D4C4×D5semidirect
357. C23×C5C2×C4×D3semidirect
364. C5×D4C2×C4×D3semidirect
369. C2×C4×C5C2×C4×D3semidirect
437. C23×C3C2×C4×D5semidirect
444. C3×D4C2×C4×D5semidirect
454. C2×C3×C4C2×C4×D5semidirect
489. Dic5#1004semidirect
500. C2×D4#1200semidirect
535. C3×C5C4×H(5,𝔽2)semidirect
568. C23C2×#1200semidirect
575. D4C2×#1200semidirect
595. C2×C4C2×#1200semidirect
603. C5C4×#1004semidirect
624. C3#10617758semidirect

Maximal subgroups

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

subgroupindex
C2×#920952
C5×#57982
C2×C3×D4×Dic52
#117554132
C2×#915522
#117549222
#117549162
#117548532
D4×#12002
#117544962
#117544142
#106177583
C4×#10045