Finite Group Databasebeta

← #14479222

Subgroups — #14479222

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×C3×#4144C211yesmaximal, characteristic
2C2×D4×Dic15C211yesmaximal, characteristic, complemented
3C5×#5798C211yesmaximal, characteristic, complemented
4#11755406C214yesmaximal, complemented
5C2×#91559C214yesmaximal, complemented
6#11754923C214yesmaximal, complemented
7#11754910C214yesmaximal, complemented
8Dic3×#711C214yesmaximal, complemented
9D4×D5×Dic3C214yesmaximal, complemented
10#11754509C212yesmaximal, complemented
11#11754444C212yesmaximal, complemented
12#10617758—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×Dic15C2212yescomplemented
15C22×C3×C22⋊D5C2214yes—
16C3×#4144C4116yescomplemented
17C2×C3×#711C2214yes—
18C2×C3×D4×D5C2214yes—
19C2×C3×#709C2212yes—
20C22×D5×Dic3C2214yescomplemented
21C2×#6719C2212yescomplemented
22D4×Dic15C2214yescomplemented
23D4×Dic15C2214yescomplemented
24C2×C4⋊Dic15C2211yescharacteristic, complemented
25C2×C4×Dic15C2211yescharacteristic, complemented
26C2×C5×#217C2214yescomplemented
27C5×D4×Dic3C2214yescomplemented
28C5×D4×Dic3C2214yescomplemented
29C5×#926C2212yescomplemented
30#91559C2218yescomplemented
31#91559C2218yescomplemented
32#91559C2214yescomplemented
33#91559C2218yescomplemented
34#91559C2214yescomplemented
35Dic3×C22⋊D5C2218yescomplemented
36Dic3×C22⋊D5C2218yescomplemented
37D5×#217C2218yescomplemented
38C2×#6668C2214yescomplemented
39C2×#6665C2214yescomplemented
40#91528C2218yescomplemented
41C2×Dic3×Dic5C2214yescomplemented
42#91434C2212yescomplemented
43#91434C2212yescomplemented
44Dic3×D20C2214yescomplemented
45D5×C4⋊Dic3C2214yescomplemented
46C4×D5×Dic3C2214yescomplemented
47#91358C2214yescomplemented
48#91357C2214yescomplemented
49#91331C2212yescomplemented
50#91331C2212yescomplemented
51Dic3×Dic10C2214yescomplemented
52Dic3×H(5,𝔽2)—51nomaximal, Hall
53C2×#4144D311yescharacteristic
54C5×#518—31no—
55C2×D4×Dic5—31no—
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×C3×D5C2314yes—
66C2×C3×C5×D4C2×C418yescomplemented
67C2×C3×C5×D4C2314yes—
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15—44no—
70C22×Dic15C2314yes—
71C22×Dic15C2311yescharacteristic
72C22×Dic15C2314yes—
73C22×Dic15C2311yescharacteristic
74C22×Dic15C2312yes—
75C22×C5×Dic3C2314yes—
76C22×C5×Dic3C2314yes—
77C2×C3×C22⋊D5C2×C4132yescomplemented
78C2×C3×C22⋊D5C2314yes—
79C2×C3×C22⋊D5C2318yes—
80C22×C3×Dic5C2314yes—
81C3×#711C2×C4132yescomplemented
82C3×D4×D5C2×C4132yescomplemented
83C3×#709C2×C4116yescomplemented
84C2×C3×D20C2312yes—
85C2×C3×C4×D5C2314yes—
86C2×C3×Dic10C2312yes—
87C2×D5×Dic3—48no—
88C2×D5×Dic3C2314yes—
89C2×D5×Dic3C2318yes—
90C2×D5×Dic3C2314yes—
91#6719C2318yes—
92C4⋊Dic15C2314yes—
93C4×Dic15C2312yes—
94C4×Dic15C2312yes—
95C5×#217C2314yes—
96C5×#217C2318yes—
97C5×C4⋊Dic3C2312yes—
98C5×C4⋊Dic3C2312yes—
99C4×C5×Dic3C2314yes—
100#6668C2318yes—
101#6668C2314yes—
102#6668C2314yes—
103#6665C2318yes—
104#6665C2314yes—
105#6665C2314yes—
106Dic3×Dic5C2314yes—
107Dic3×Dic5C2318yes—
108Dic3×Dic5C2314yes—
109C2×C3×H(5,𝔽2)—51no—
110#5827—54no—
111#5827—52no—
112Dic3×#41—54no—
113Dic3×#41—52no—
114#5798—54no—
115#5798—54no—
116#5798D511yescharacteristic, complemented
117C2×D4×Dic3—51no—
118C2×D4×Dic3—54no—
119C2×D4×Dic3—54no—
120C22×C5×D4C2×D311yescharacteristic
121C22×C22⋊D5C2×D314yes—
122C23×Dic5—32no—
123#4144Dic3116yescomplemented
124C2×#711C2×D314yes—
125C2×D4×D5C2×D314yes—
126C2×#709C2×D312yes—
127C22×C4×D5—34no—
128C4×C5×D4—34no—
129C4×C5×D4—34no—
130C5×#117—32no—
131C2×C5×C22⋊C4—34no—
132C2×C22⋊Dic5—32no—
133D4×Dic5—34no—
134D4×Dic5—34no—
135C4×C22⋊D5—38no—
136C4×C22⋊D5—38no—
137C2×#685—34no—
138C2×C4⋊Dic5—31no—
139C2×#683—34no—
140C2×C4×Dic5—31no—
141C2×C4×Dic5—34no—
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×C5C2411yescharacteristic
164C23×C3×C5C2414yes—
165C22×C3×D5—44no—
166C22×C3×D5—44no—
167C22×C3×D5C22×C4116yescomplemented
168C22×C3×D5C2414yes—
169C3×C5×D4C22×C4116yescomplemented
170C2×C3×C4×C5C22×C414yescomplemented
171C2×C3×C4×C5C2412yes—
172C2×Dic15—28no—
173C2×Dic15—22no—
174C2×Dic15—42no—
175C2×Dic15—44no—
176C2×Dic15—41no—
177C2×Dic15C2412yes—
178C2×Dic15C2414yes—
179C2×Dic15C2411yescharacteristic
180C2×Dic15C2411yescharacteristic
181C2×C5×Dic3—44no—
182C2×C5×Dic3—44no—
183C2×C5×Dic3C2414yes—
184C2×C5×Dic3C2414yes—
185C3×C22⋊D5C22×C4116yescomplemented
186C3×C22⋊D5C22×C4132yescomplemented
187C2×C3×Dic5C22×C4116yescomplemented
188C2×C3×Dic5C2414yes—
189C3×D20C22×C418yescomplemented
190C3×C4×D5C22×C4116yescomplemented
191C3×Dic10C22×C418yescomplemented
192D5×Dic3—28no—
193D5×Dic3—48no—
194D5×Dic3—44no—
195C3×H(5,𝔽2)—516no—
196C2×C3×#41—54no—
197C2×C3×#41—52no—
198C22×C3×D4—54no—
199C22×C3×D4—54no—
200C22×C3×D4C2×D511yescharacteristic
201C23×Dic3—52no—
202C23×Dic3—54no—
203C2×#217—52no—
204C2×#217—54no—
205C2×#217—58no—
206C2×#217C2×D514yescomplemented
207Q8×Dic3—52no—
208Q8×Dic3—52no—
209Q8×Dic3—54no—
210D4×Dic3—54no—
211D4×Dic3—54no—
212D4×Dic3—58no—
213D4×Dic3—58no—
214D4×Dic3—58no—
215D4×Dic3—54no—
216D4×Dic3—58no—
217D4×Dic3—58no—
218D4×Dic3—54no—
219D4×Dic3—52no—
220D4×Dic3—52no—
221D4×Dic3—54no—
222D4×Dic3C2×D514yescomplemented
223D4×Dic3C2×D514yescomplemented
224#926—58no—
225#926—54no—
226#926—54no—
227#926C2×D512yescomplemented
228C2×C4⋊Dic3—51no—
229C2×C4⋊Dic3—54no—
230C2×C4⋊Dic3—54no—
231C2×C4×Dic3—51no—
232C2×C4×Dic3—54no—
233C2×C4×Dic3—54no—
234C24×C5C22×D312yes—
235C23×D5C22×D314yes—
236C2×C5×D4C2×Dic318yescomplemented
237C2×C5×D4C22×D314yes—
238C22×C4×C5—34no—
239C22×C4×C5—34no—
240C22×C4×C5C22×D311yescharacteristic
241C2×C22⋊D5C2×Dic3132yescomplemented
242C2×C22⋊D5C22×D314yes—
243C2×C22⋊D5C22×D318yes—
244C22×Dic5—34no—
245C22×Dic5—31no—
246C22×Dic5—31no—
247C22×Dic5—32no—
248C22×Dic5—34no—
249C22×Dic5—124no—
250C22×Dic5C22×D314yes—
251#711C2×Dic3132yescomplemented
252D4×D5C2×Dic3132yescomplemented
253#709C2×Dic3116yescomplemented
254C2×D20C22×D312yes—
255C2×C4×D5—34no—
256C2×C4×D5—38no—
257C2×C4×D5—34no—
258C2×C4×D5—128no—
259C2×C4×D5C22×D314yes—
260C2×Dic10C22×D312yes—
261C5×C4⋊C4—32no—
262C5×C4⋊C4—32no—
263C5×C22⋊C4—34no—
264C5×C22⋊C4—38no—
265C42×C5—34no—
266C22⋊Dic5—38no—
267#685—34no—
268#685—34no—
269#685—38no—
270C4⋊Dic5—34no—
271#683—38no—
272#683—34no—
273#683—34no—
274C4×Dic5—32no—
275C4×Dic5—32no—
276C4×Dic5—38no—
277C4×Dic5—34no—
278C4×Dic5—34no—
279C2×H(5,𝔽2)—51no—
280#520—152no—
281#520—154no—
282#518—31no—
283#518—154no—
284#518—154no—
285C4×#41—152no—
286C4×#41—154no—
287C2×C4×D4—154no—
288C2×C4×D4—154no—
289C2×C4×D4—151no—
290C22×C3×C5—24no—
291C22×C3×C5—21no—
292C22×C3×C5—24no—
293C22×C3×C5—21no—
294C22×C3×C5—48no—
295C22×C3×C5C23×C418yes—
296C22×C3×C5C23×C412yes—
297C22×C3×C5C2511yescharacteristic
298C2×C3×D5—24no—
299C2×C3×D5—24no—
300C2×C3×D5—416no—
301C2×C3×D5C23×C418yes—
302C3×C4×C5C23×C414yes—
303Dic15—24no—
304Dic15—21no—
305Dic15—22no—
306Dic15H(5,𝔽2)12yescomplemented
307C3×Dic5C23×C418yes—
308C5×Dic3—24no—
309C5×Dic3—24no—
310C24×C3—54no—
311C24×C3C22×D512yes—
312C3×#41—532no—
313C3×#41—516no—
314C2×C3×Q8—52no—
315C2×C3×D4—532no—
316C2×C3×D4—58no—
317C2×C3×D4—54no—
318C2×C3×D4—532no—
319C2×C3×D4—52no—
320C2×C3×D4C4×D518yescomplemented
321C2×C3×D4C22×D514yes—
322C22×C3×C4—54no—
323C22×C3×C4—54no—
324C22×C3×C4C22×D511yescharacteristic
325C22×Dic3—54no—
326C22×Dic3—51no—
327C22×Dic3—51no—
328C22×Dic3—54no—
329C22×Dic3—52no—
330C22×Dic3—54no—
331C22×Dic3—54no—
332C22×Dic3—58no—
333C22×Dic3—208no—
334C22×Dic3—204no—
335C22×Dic3C22×D514yes—
336C22×Dic3C22×D514yes—
337#217—58no—
338#217—54no—
339#217—58no—
340#217—54no—
341#217C22×D518yes—
342#217C22×D514yes—
343C4⋊Dic3—54no—
344C4⋊Dic3—58no—
345C4⋊Dic3—54no—
346C4⋊Dic3—54no—
347C4⋊Dic3C22×D512yes—
348C4⋊Dic3C22×D512yes—
349C4×Dic3—52no—
350C4×Dic3—52no—
351C4×Dic3—54no—
352C4×Dic3—54no—
353C4×Dic3—58no—
354C4×Dic3C22×D514yes—
355C23×C5—42no—
356C23×C5—42no—
357C23×C5C22×Dic318yescomplemented
358C23×C5C23×D314yes—
359C23×C5C23×D311yescharacteristic
360C22×D5—44no—
361C22×D5—44no—
362C22×D5C22×Dic3116yescomplemented
363C22×D5C23×D314yes—
364C5×D4C22×Dic3116yescomplemented
365C2×C4×C5—34no—
366C2×C4×C5—34no—
367C2×C4×C5—124no—
368C2×C4×C5—124no—
369C2×C4×C5C22×Dic314yescomplemented
370C2×C4×C5C23×D312yes—
371C22⋊D5C22×Dic3116yescomplemented
372C22⋊D5C22×Dic3132yescomplemented
373C2×Dic5—31no—
374C2×Dic5—32no—
375C2×Dic5—31no—
376C2×Dic5—34no—
377C2×Dic5—68no—
378C2×Dic5—62no—
379C2×Dic5—121no—
380C2×Dic5—122no—
381C2×Dic5—124no—
382C2×Dic5C22×Dic3116yescomplemented
383C2×Dic5C23×D314yes—
384D20C22×Dic318yescomplemented
385C4×D5—68no—
386C4×D5—124no—
387C4×D5—128no—
388C4×D5C22×Dic3116yescomplemented
389Dic10C22×Dic318yescomplemented
390H(5,𝔽2)—516no—
391C2×#41—54no—
392C2×#41—52no—
393C22×D4—54no—
394C22×D4—54no—
395C22×D4D3×D511yescharacteristic
396C23×C4—154no—
397C23×C4—152no—
398C4×Q8—154no—
399C4×Q8—152no—
400C4×Q8—152no—
401C4×D4—34no—
402C4×D4—34no—
403C4×D4—154no—
404C4×D4—154no—
405C4×D4—158no—
406C4×D4—158no—
407C4×D4—158no—
408C4×D4—154no—
409C4×D4—152no—
410C4×D4—152no—
411C4×D4—158no—
412C4×D4—158no—
413C4×D4—154no—
414C4×D4—154no—
415#117—32no—
416#117—154no—
417#117—158no—
418#117—154no—
419C2×C4⋊C4—154no—
420C2×C4⋊C4—154no—
421C2×C4⋊C4—151no—
422C2×C22⋊C4—34no—
423C2×C22⋊C4—158no—
424C2×C22⋊C4—154no—
425C2×C22⋊C4—152no—
426C2×C42—154no—
427C2×C42—154no—
428C2×C42—151no—
429C2×C3×C5—28no—
430C2×C3×C5—22no—
431C2×C3×C5C24×C411yescharacteristic
432C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
433C2×C3×C5#58511yescharacteristic
434C3×D5—28no—
435C23×C3—42no—
436C23×C3—42no—
437C23×C3—54no—
438C23×C3—516no—
439C23×C3—204no—
440C23×C3—204no—
441C23×C3C2×C4×D518yescomplemented
442C23×C3C23×D514yes—
443C23×C3C23×D511yescharacteristic
444C3×Q8—58no—
445C3×D4—532no—
446C3×D4—516no—
447C3×D4—58no—
448C3×D4C2×C4×D5116yescomplemented
449C2×C3×C4—516no—
450C2×C3×C4—54no—
451C2×C3×C4—516no—
452C2×C3×C4C2×C4×D514yescomplemented
453C2×C3×C4C23×D512yes—
454C2×Dic3—44no—
455C2×Dic3—44no—
456C2×Dic3—51no—
457C2×Dic3—52no—
458C2×Dic3—54no—
459C2×Dic3—51no—
460C2×Dic3—108no—
461C2×Dic3—108no—
462C2×Dic3—102no—
463C2×Dic3—204no—
464C2×Dic3—208no—
465C2×Dic3—201no—
466C2×Dic3—204no—
467C2×Dic3—202no—
468C2×Dic3C23×D514yes—
469C2×Dic3C23×D514yes—
470C22×C5—21no—
471C22×C5—24no—
472C22×C5—21no—
473C22×C5—24no—
474C22×C5—48no—
475C22×C5C23×Dic318yes—
476C22×C5C23×Dic312yes—
477C22×C5C24×D311yescharacteristic
478C2×D5—24no—
479C2×D5—24no—
480C2×D5—416no—
481C2×D5C23×Dic318yes—
482C4×C5—64no—
483C4×C5—64no—
484C4×C5C23×Dic314yes—
485Dic5—32no—
486Dic5—64no—
487Dic5—61no—
488Dic5—62no—
489Dic5C23×Dic318yes—
490C24—54no—
491C24C2×D3×D512yes—
492#41—532no—
493#41—516no—
494C2×Q8—52no—
495C2×D4—532no—
496C2×D4—54no—
497C2×D4—58no—
498C2×D4—532no—
499C2×D4—52no—
500C2×D4D5×Dic318yescomplemented
501C2×D4C2×D3×D514yes—
502C22×C4—34no—
503C22×C4—34no—
504C22×C4—54no—
505C22×C4—54no—
506C22×C4—154no—
507C22×C4—154no—
508C22×C4—158no—
509C22×C4—151no—
510C22×C4—154no—
511C22×C4—151no—
512C22×C4—152no—
513C22×C4—154no—
514C22×C4—608no—
515C22×C4—604no—
516C22×C4C2×D3×D511yescharacteristic
517C4⋊C4—32no—
518C4⋊C4—32no—
519C4⋊C4—158no—
520C4⋊C4—154no—
521C4⋊C4—154no—
522C4⋊C4—154no—
523C22⋊C4—34no—
524C22⋊C4—38no—
525C22⋊C4—158no—
526C22⋊C4—154no—
527C22⋊C4—154no—
528C22⋊C4—158no—
529C42—34no—
530C42—154no—
531C42—158no—
532C42—154no—
533C42—152no—
534C42—152no—
535C3×C5C4×H(5,𝔽2)11yescharacteristic, complemented, Hall
536C22×C3—24no—
537C22×C3—21no—
538C22×C3—24no—
539C22×C3—21no—
540C22×C3—48no—
541C22×C3—58no—
542C22×C3—104no—
543C22×C3—104no—
544C22×C3—2016no—
545C22×C3C22×C4×D518yes—
546C22×C3C22×C4×D512yes—
547C22×C3C24×D511yescharacteristic
548C3×C4—58no—
549C3×C4C22×C4×D514yes—
550Dic3—24no—
551Dic3—24no—
552Dic3—52no—
553Dic3—104no—
554Dic3—101no—
555Dic3—102no—
556C2×C5—28no—
557C2×C5—22no—
558C2×C5D3×H(5,𝔽2)11yescharacteristic
559C2×C5#596611yescharacteristic
560C2×C5C24×Dic311yescharacteristic
561D5—28no—
562C23—42no—
563C23—42no—
564C23—54no—
565C23—516no—
566C23—204no—
567C23—204no—
568C23C2×D5×Dic318yescomplemented
569C23C22×D3×D511yescharacteristic
570C23C22×D3×D514yes—
571Q8—58no—
572D4—532no—
573D4—516no—
574D4—58no—
575D4C2×D5×Dic3116yescomplemented
576C2×C4—34no—
577C2×C4—34no—
578C2×C4—516no—
579C2×C4—54no—
580C2×C4—516no—
581C2×C4—124no—
582C2×C4—124no—
583C2×C4—151no—
584C2×C4—152no—
585C2×C4—154no—
586C2×C4—151no—
587C2×C4—308no—
588C2×C4—308no—
589C2×C4—302no—
590C2×C4—608no—
591C2×C4—604no—
592C2×C4—604no—
593C2×C4—602no—
594C2×C4—601no—
595C2×C4C2×D5×Dic314yescomplemented
596C2×C4C22×D3×D512yes—
597C2×C3—22no—
598C2×C3—28no—
599C2×C3—108no—
600C2×C3C23×C4×D511yescharacteristic
601C2×C3D5×H(5,𝔽2)11yescharacteristic
602C2×C3#6628511yescharacteristic
603C5Dic3×H(5,𝔽2)11yescharacteristic, complemented, Sylow
604C22—24no—
605C22—21no—
606C22—24no—
607C22—21no—
608C22—48no—
609C22—58no—
610C22—104no—
611C22—104no—
612C22—2016no—
613C22C22×D5×Dic318yes—
614C22C22×D5×Dic312yes—
615C22C23×D3×D511yescharacteristic
616C4—58no—
617C4—64no—
618C4—64no—
619C4—152no—
620C4—304no—
621C4—301no—
622C4—302no—
623C4C22×D5×Dic314yes—
624C3#1061775811yescharacteristic, complemented, Sylow
625C2—22no—
626C2—28no—
627C2—108no—
628C2#1175703011yescharacteristic
629C2#1175703611yescharacteristic
630C2C23×D5×Dic311yescharacteristic
subgroupG/H
center, FrattiniC22C23×D3×D5
commutatorC2×C3×C5C24×C4
FittingC22×C3×C5×D4C22
socle, cosocleC22×C3×C5C25
prime radicalC2×C3×#4144C2
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. C2×D4×Dic15C2semidirect
3. C5×#5798C2semidirect
4. #11755406C2semidirect
5. C2×#91559C2semidirect
6. #11754923C2semidirect
7. #11754910C2semidirect
8. Dic3×#711C2semidirect
9. D4×D5×Dic3C2semidirect
10. #11754509C2semidirect
11. #11754444C2semidirect
14. C23×Dic15C22semidirect
16. C3×#4144C4semidirect
20. C22×D5×Dic3C22semidirect
21. C2×#6719C22semidirect
22. D4×Dic15C22semidirect
23. D4×Dic15C22semidirect
24. C2×C4⋊Dic15C22semidirect
25. C2×C4×Dic15C22semidirect
26. C2×C5×#217C22semidirect
27. C5×D4×Dic3C22semidirect
28. C5×D4×Dic3C22semidirect
29. C5×#926C22semidirect
30. #91559C22semidirect
31. #91559C22semidirect
32. #91559C22semidirect
33. #91559C22semidirect
34. #91559C22semidirect
35. Dic3×C22⋊D5C22semidirect
36. Dic3×C22⋊D5C22semidirect
37. D5×#217C22semidirect
38. C2×#6668C22semidirect
39. C2×#6665C22semidirect
40. #91528C22semidirect
41. C2×Dic3×Dic5C22semidirect
42. #91434C22semidirect
43. #91434C22semidirect
44. Dic3×D20C22semidirect
45. D5×C4⋊Dic3C22semidirect
46. C4×D5×Dic3C22semidirect
47. #91358C22semidirect
48. #91357C22semidirect
49. #91331C22semidirect
50. #91331C22semidirect
51. Dic3×Dic10C22semidirect
66. C2×C3×C5×D4C2×C4semidirect
77. C2×C3×C22⋊D5C2×C4semidirect
81. C3×#711C2×C4semidirect
82. C3×D4×D5C2×C4semidirect
83. C3×#709C2×C4semidirect
116. #5798D5semidirect
123. #4144Dic3semidirect
162. C23×C3×C5C22×C4semidirect
167. C22×C3×D5C22×C4semidirect
169. C3×C5×D4C22×C4semidirect
170. C2×C3×C4×C5C22×C4semidirect
185. C3×C22⋊D5C22×C4semidirect
186. C3×C22⋊D5C22×C4semidirect
187. C2×C3×Dic5C22×C4semidirect
189. C3×D20C22×C4semidirect
190. C3×C4×D5C22×C4semidirect
191. C3×Dic10C22×C4semidirect
206. C2×#217C2×D5semidirect
222. D4×Dic3C2×D5semidirect
223. D4×Dic3C2×D5semidirect
227. #926C2×D5semidirect
236. C2×C5×D4C2×Dic3semidirect
241. C2×C22⋊D5C2×Dic3semidirect
251. #711C2×Dic3semidirect
252. D4×D5C2×Dic3semidirect
253. #709C2×Dic3semidirect
306. Dic15H(5,𝔽2)semidirect
320. C2×C3×D4C4×D5semidirect
357. C23×C5C22×Dic3semidirect
362. C22×D5C22×Dic3semidirect
364. C5×D4C22×Dic3semidirect
369. C2×C4×C5C22×Dic3semidirect
371. C22⋊D5C22×Dic3semidirect
372. C22⋊D5C22×Dic3semidirect
382. C2×Dic5C22×Dic3semidirect
384. D20C22×Dic3semidirect
388. C4×D5C22×Dic3semidirect
389. Dic10C22×Dic3semidirect
441. C23×C3C2×C4×D5semidirect
448. C3×D4C2×C4×D5semidirect
452. C2×C3×C4C2×C4×D5semidirect
500. C2×D4D5×Dic3semidirect
535. C3×C5C4×H(5,𝔽2)semidirect
568. C23C2×D5×Dic3semidirect
575. D4C2×D5×Dic3semidirect
595. C2×C4C2×D5×Dic3semidirect
603. C5Dic3×H(5,𝔽2)semidirect
624. C3#10617758semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#41442
C2×D4×Dic152
C5×#57982
#117554062
C2×#915592
#117549232
#117549102
Dic3×#7112
D4×D5×Dic32
#117545092
#117544442
#106177583
Dic3×H(5,𝔽2)5