Finite Group Databasebeta

← #14321452

Subgroups — #14321452

Order 1920.

1648 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#91456C211yesmaximal, characteristic
2C2×#91442C212yesmaximal, complemented
3C2×#91434C211yesmaximal, characteristic, complemented
4C2×C4×D3×Dic5C211yesmaximal, characteristic, complemented
5C4⋊C4×Dic15C211yesmaximal, characteristic, complemented
6C5×#4987C211yesmaximal, characteristic, complemented
7C3×#65277C211yesmaximal, characteristic, complemented
8#11748911C212yesmaximal, complemented
9#11748884C212yesmaximal, complemented
10#11748841C211yesmaximal, characteristic, complemented
11#11748708C212yesmaximal, complemented
12#10605596—31nomaximal, Hall
13C22×C4×C5×D3C2211yescharacteristic
14C22×C3×D20C2211yescharacteristic
15C22×#1201C2212yes—
16C22×D3×Dic5C2211yescharacteristic
17C22×D3×Dic5C2211yescharacteristic
18C22×D5×Dic3C2212yes—
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C4⋊Dic15C2211yescharacteristic
21C2×C4×Dic15C2212yes—
22C2×C4×Dic15C2211yescharacteristic
23C2×C5×(C2×D3)⋊C4C2212yes—
24C2×C5×C4⋊Dic3C2211yescharacteristic
25C2×C3×#685C2212yes—
26C2×C3×#685C2212yes—
27C2×C3×C4×Dic5C2211yescharacteristic
28C2×#6669C2212yes—
29C2×#6665C2212yes—
30C2×#6665C2212yes—
31C2×Dic3×Dic5C2211yescharacteristic
32C2×Dic3×Dic5C2211yescharacteristic
33#91456C418yescomplemented
34#91442—28no—
35#91434—24no—
36C4×D3×Dic5—24no—
37#91115C2212yes—
38C5×C3⋊#95C2212yes—
39#90994C2212yes—
40#76291—51nomaximal, Hall
41C2×#4076—31no—
42C22×C4×Dic5—31no—
43C2×#4039—31no—
44C2×#4027—32no—
45C5×#380—31no—
46#65277D311yescharacteristic, complemented
47C4⋊C4×Dic5—31no—
48#65262—31no—
49#65247—32no—
50#64958—32no—
51#64955—32no—
52C23×C5×D3C2311yescharacteristic
53C23×C3×D5C2312yes—
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2311yescharacteristic
56C22×Dic15C2312yes—
57C22×Dic15C2311yescharacteristic
58C22×Dic15C2311yescharacteristic
59C22×C5×Dic3C2312yes—
60C22×C5×Dic3C2311yescharacteristic
61C2×C4×C5×D3—22no—
62C2×C4×C5×D3—22no—
63C2×C4×C5×D3C2×C414yescomplemented
64C22×C3×Dic5C2311yescharacteristic
65C22×C3×Dic5C2311yescharacteristic
66C2×C3×D20—22no—
67C2×C3×D20—22no—
68C2×C3×D20C2×C414yescomplemented
69C2×#1201—24no—
70C2×#1201—24no—
71C2×#1201C2×C418yescomplemented
72C2×D3×Dic5—22no—
73C2×D3×Dic5—22no—
74C2×D3×Dic5—22no—
75C2×D3×Dic5—22no—
76C2×D3×Dic5—22no—
77C2×D3×Dic5D414yescomplemented
78C2×D5×Dic3—24no—
79C2×D5×Dic3—24no—
80C2×D5×Dic3—24no—
81C3×C5×C4⋊C4—22no—
82C4⋊Dic15C2×C414yescomplemented
83C4×Dic15—24no—
84C4×Dic15D414yescomplemented
85C5×(C2×D3)⋊C4—24no—
86C5×C4⋊Dic3—22no—
87C3×#685—24no—
88C3×#685—24no—
89C3×C4×Dic5—22no—
90#6669—24no—
91#6665—24no—
92#6665C2×C418yescomplemented
93Dic3×Dic5—22no—
94Dic3×Dic5—22no—
95C2×#938—51no—
96C2×D4×Dic3—51no—
97C2×#67⋊C4—52no—
98C2×C42×D3—51no—
99C3×#390—51no—
100#4987D511yescharacteristic, complemented
101Dic3×C4⋊C4—51no—
102#4956—52no—
103#4945—52no—
104Dic3×C22⋊C4—52no—
105#4928—51no—
106C23×C4×C5—31no—
107C22×C22⋊D5—32no—
108C23×Dic5—31no—
109C23×Dic5—31no—
110C22×D20C2×D311yescharacteristic
111C22×C4×D5—32no—
112C2×C5×C4⋊C4—31no—
113C2×C5×C4⋊C4C2×D311yescharacteristic
114C2×C5×C22⋊C4—32no—
115#4076—38no—
116C2×#685—32no—
117C2×#685—32no—
118C2×#685C2×D312yes—
119C2×#685C2×D312yes—
120C2×C4⋊Dic5—31no—
121C2×#683—32no—
122C2×C4×Dic5—31no—
123C2×C4×Dic5—32no—
124C2×C4×Dic5—31no—
125C2×C4×Dic5—31no—
126C2×C4×Dic5—64no—
127C2×C4×Dic5C2×D311yescharacteristic
128#4039—64no—
129#4027—68no—
130C5×#95—32no—
131#3963—32no—
132#3963—32no—
133C4×#121—151noSylow
134C23×C3×C5C2411yescharacteristic
135C22×C5×D3—21no—
136C22×C5×D3—21no—
137C22×C5×D3—21no—
138C22×C5×D3—21no—
139C22×C5×D3C22×C412yes—
140C22×C5×D3C2×D412yes—
141C22×C5×D3#4112yes—
142C22×C3×D5—22no—
143C22×C3×D5—22no—
144C22×C3×D5—22no—
145C22×C3×D5—22no—
146C22×C3×D5—22no—
147C22×C3×D5—22no—
148C22×C3×D5C22×C414yes—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5—22no—
152C2×C3×C4×C5C22×C412yes—
153C2×C3×C4×C5C2×D412yes—
154C2×C3×C4×C5#4112yes—
155C2×Dic15—22no—
156C2×Dic15—21no—
157C2×Dic15—21no—
158C2×Dic15—22no—
159C2×Dic15C22×C414yes—
160C2×Dic15C2×D412yes—
161C2×Dic15C2×D412yes—
162C2×Dic15C2×D412yes—
163C2×Dic15#4112yes—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—22no—
167C2×C5×Dic3—22no—
168C2×C5×Dic3—22no—
169C2×C5×Dic3C22×C412yes—
170C4×C5×D3—28no—
171C2×C3×Dic5—21no—
172C2×C3×Dic5—21no—
173C2×C3×Dic5—21no—
174C2×C3×Dic5—21no—
175C2×C3×Dic5C2×D412yes—
176C2×C3×Dic5#4112yes—
177C3×D20—28no—
178#1201—216no—
179D3×Dic5—28no—
180D3×Dic5—28no—
181D5×Dic3—48no—
182C22×C3×D4—51no—
183C22×#67—52no—
184C23×Dic3—52no—
185C22×C4×D3—51no—
186C22×C4×D3—51no—
187C22×C4×D3C2×D511yescharacteristic
188C2×C3×C4⋊C4C2×D511yescharacteristic
189C2×C3×C22⋊C4—52no—
190C2×C3×C22⋊C4—52no—
191C2×C3×C42—51no—
192C2×#217—52no—
193C2×#217—52no—
194#938—58no—
195D4×Dic3—104no—
196C2×(C2×D3)⋊C4C2×D512yes—
197C2×C4⋊Dic3—51no—
198C2×C4⋊Dic3C2×D511yescharacteristic
199C2×Dic3⋊C4—52no—
200C2×C4×Dic3—51no—
201C2×C4×Dic3—52no—
202C2×C4×Dic3—51no—
203C2×C4×Dic3—51no—
204#67⋊C4—108no—
205C42×D3—104no—
206C3⋊#95—52no—
207C3⋊#95—52no—
208C3⋊#95C2×D512yes—
209C24×C5—31no—
210C23×D5C22×D312yes—
211C22×C4×C5—31no—
212C22×C4×C5—34no—
213C22×C4×C5—32no—
214C22×C4×C5—62no—
215C22×C4×C5—62no—
216C22×C4×C5C22×D312yes—
217C22×C4×C5C22×D311yescharacteristic
218C2×C22⋊D5—38no—
219C2×C22⋊D5—64no—
220C2×C22⋊D5—64no—
221C22×Dic5—31no—
222C22×Dic5—31no—
223C22×Dic5—32no—
224C22×Dic5—34no—
225C22×Dic5—62no—
226C22×Dic5—62no—
227C22×Dic5—62no—
228C22×Dic5—62no—
229C22×Dic5—62no—
230C22×Dic5C22×D311yescharacteristic
231C22×Dic5C22×D311yescharacteristic
232C2×D20—22no—
233C2×D20—22no—
234C2×D20C4×D314yescomplemented
235C2×C4×D5—64no—
236C2×C4×D5—64no—
237C2×C4×D5—64no—
238C5×C4⋊C4—22no—
239C5×C4⋊C4—62no—
240C5×C22⋊C4—64no—
241#685—24no—
242#685—24no—
243#685—38no—
244#685—64no—
245C4⋊Dic5—34no—
246#683—64no—
247C4×Dic5—22no—
248C4×Dic5—34no—
249C4×Dic5—62no—
250C4×Dic5—62no—
251C4×Dic5—64no—
252C2×#121—151no—
253C2×C4×D4—152no—
254C2×C4×D4—151no—
255C22×C42—151no—
256#390—51no—
257#389—151no—
258#388—152no—
259#386—152no—
260#380—31no—
261C4×C4⋊C4—151no—
262C4×C22⋊C4—152no—
263C22×C3×C5C23×C411yescharacteristic
264C22×C3×C5C22×D411yescharacteristic
265C22×C3×C5C22×D411yescharacteristic
266C22×C3×C5C2×#4111yescharacteristic
267C22×C3×C5C2×#4111yescharacteristic
268C22×C3×C5C2×#4111yescharacteristic
269C22×C3×C5C2×#4111yescharacteristic
270C2×C5×D3—22no—
271C2×C5×D3—22no—
272C2×C5×D3—22no—
273C2×C5×D3—22no—
274C2×C5×D3—22no—
275C2×C5×D3—22no—
276C2×C5×D3C4×D414yescomplemented
277C2×C3×D5—24no—
278C2×C3×D5—24no—
279C2×C3×D5—24no—
280C2×C3×D5—42no—
281C2×C3×D5—42no—
282C2×C3×D5—42no—
283C2×C3×D5—42no—
284C3×C4×C5—42no—
285C3×C4×C5C4×D414yescomplemented
286Dic15—24no—
287Dic15—22no—
288Dic15#12114yescomplemented
289C3×Dic5—22no—
290C3×Dic5—22no—
291C5×Dic3—22no—
292C5×Dic3—42no—
293C24×C3—52no—
294C23×D3C22×D511yescharacteristic
295C2×C3×D4—54no—
296C2×C3×D4—102no—
297C2×C3×D4—102no—
298C22×C3×C4—51no—
299C22×C3×C4—51no—
300C22×C3×C4C22×D512yes—
301C22×C3×C4C22×D511yescharacteristic
302C2×#67—58no—
303C2×#67—104no—
304C2×#67—104no—
305C22×Dic3—51no—
306C22×Dic3—51no—
307C22×Dic3—52no—
308C22×Dic3—104no—
309C22×Dic3—104no—
310C22×Dic3—104no—
311C22×Dic3C22×D512yes—
312C22×Dic3C22×D511yescharacteristic
313C2×C4×D3—22no—
314C2×C4×D3—22no—
315C2×C4×D3—54no—
316C2×C4×D3—102no—
317C2×C4×D3—102no—
318C2×C4×D3—102no—
319C2×C4×D3—102no—
320C2×C4×D3—102no—
321C2×C4×D3C4×D514yescomplemented
322C3×C4⋊C4—22no—
323C3×C22⋊C4—104no—
324C3×C22⋊C4—104no—
325C3×C42—102no—
326#217—58no—
327#217—104no—
328(C2×D3)⋊C4—24no—
329C4⋊Dic3—22no—
330C4⋊Dic3—54no—
331Dic3⋊C4—104no—
332C4×Dic3—54no—
333C4×Dic3—102no—
334C4×Dic3—102no—
335C4×Dic3—104no—
336C23×C5—32no—
337C23×C5—32no—
338C23×C5—32no—
339C23×C5—61no—
340C23×C5—61no—
341C23×C5—61no—
342C23×C5—61no—
343C23×C5C23×D311yescharacteristic
344C22×D5—22no—
345C22×D5—22no—
346C22×D5—22no—
347C22×D5—22no—
348C22×D5—22no—
349C22×D5—22no—
350C22×D5C2×C4×D314yes—
351C2×C4×C5—22no—
352C2×C4×C5—22no—
353C2×C4×C5—22no—
354C2×C4×C5—32no—
355C2×C4×C5—61no—
356C2×C4×C5—61no—
357C2×C4×C5—68no—
358C2×C4×C5—62no—
359C2×C4×C5—62no—
360C2×C4×C5—62no—
361C2×C4×C5C2×C4×D312yes—
362C2×C4×C5D3×D412yes—
363C2×C4×C5#23712yes—
364C22⋊D5—616no—
365C2×Dic5—21no—
366C2×Dic5—21no—
367C2×Dic5—21no—
368C2×Dic5—21no—
369C2×Dic5—32no—
370C2×Dic5—32no—
371C2×Dic5—32no—
372C2×Dic5—34no—
373C2×Dic5—32no—
374C2×Dic5—68no—
375C2×Dic5—68no—
376C2×Dic5—62no—
377C2×Dic5—61no—
378C2×Dic5—61no—
379C2×Dic5—62no—
380C2×Dic5D3×D412yes—
381C2×Dic5#23712yes—
382D20—28no—
383C4×D5—128no—
384C22×D4—51no—
385C22×D4—152no—
386C23×C4—31no—
387C23×C4—152no—
388C23×C4—151no—
389C23×C4—151no—
390#121—158no—
391C4×D4—304no—
392C4×D4—308no—
393C2×C4⋊C4—31no—
394C2×C4⋊C4—151no—
395C2×C4⋊C4—152no—
396C2×C4⋊C4D3×D511yescharacteristic
397C2×C22⋊C4—32no—
398C2×C22⋊C4—52no—
399C2×C22⋊C4—52no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C42—51no—
403C2×C42—151no—
404C2×C42—151no—
405C2×C42—151no—
406C2×C42—152no—
407C2×C42—304no—
408#95—32no—
409#95—152no—
410#95—152no—
411C2×C3×C5C2×C4×D411yescharacteristic
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5C4×#4111yescharacteristic
414C2×C3×C5C2×#12111yescharacteristic
415C2×C3×C5#52511yescharacteristic
416C2×C3×C5#52911yescharacteristic
417C2×C3×C5#53211yescharacteristic
418C3×D5—44no—
419C5×D3—24no—
420C23×C3—54no—
421C23×C3—102no—
422C23×C3—102no—
423C23×C3—102no—
424C23×C3—102no—
425C23×C3—102no—
426C23×C3—102no—
427C23×C3C23×D511yescharacteristic
428C22×D3—21no—
429C22×D3—21no—
430C22×D3—21no—
431C22×D3—21no—
432C22×D3C2×C4×D512yes—
433C22×D3D4×D512yes—
434C22×D3#71312yes—
435C3×D4—108no—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—22no—
439C2×C3×C4—52no—
440C2×C3×C4—52no—
441C2×C3×C4—101no—
442C2×C3×C4—101no—
443C2×C3×C4—101no—
444C2×C3×C4—101no—
445C2×C3×C4C2×C4×D512yes—
446C2×C3×C4D4×D512yes—
447C2×C3×C4#71112yes—
448#67—1016no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—22no—
452C2×Dic3—22no—
453C2×Dic3—22no—
454C2×Dic3—52no—
455C2×Dic3—52no—
456C2×Dic3—52no—
457C2×Dic3—54no—
458C2×Dic3—52no—
459C2×Dic3—102no—
460C2×Dic3—101no—
461C2×Dic3—102no—
462C2×Dic3—101no—
463C2×Dic3—208no—
464C2×Dic3C2×C4×D512yes—
465C4×D3—28no—
466C4×D3—108no—
467C4×D3—108no—
468C22×C5—34no—
469C22×C5—62no—
470C22×C5—62no—
471C22×C5—62no—
472C22×C5—62no—
473C22×C5—62no—
474C22×C5—62no—
475C22×C5C22×C4×D311yescharacteristic
476C22×C5C2×D3×D411yescharacteristic
477C22×C5C2×D3×D411yescharacteristic
478C22×C5C2×#23711yescharacteristic
479C22×C5C2×#23711yescharacteristic
480C22×C5D3×#4111yescharacteristic
481C22×C5D3×#4111yescharacteristic
482C2×D5—24no—
483C2×D5—24no—
484C2×D5—24no—
485C2×D5—42no—
486C2×D5—42no—
487C2×D5—42no—
488C2×D5—42no—
489C4×C5—42no—
490C4×C5—62no—
491C4×C5—122no—
492C4×C5#67⋊C414yescomplemented
493Dic5—22no—
494Dic5—22no—
495Dic5—34no—
496Dic5—64no—
497Dic5—62no—
498C24—31no—
499C24—52no—
500C2×D4—54no—
501C2×D4—102no—
502C2×D4—102no—
503C2×D4—158no—
504C2×D4—304no—
505C2×D4—304no—
506C22×C4—31no—
507C22×C4—34no—
508C22×C4—32no—
509C22×C4—51no—
510C22×C4—51no—
511C22×C4—62no—
512C22×C4—62no—
513C22×C4—154no—
514C22×C4—151no—
515C22×C4—151no—
516C22×C4—152no—
517C22×C4—302no—
518C22×C4—304no—
519C22×C4—304no—
520C22×C4—304no—
521C22×C4—302no—
522C22×C4—302no—
523C22×C4—302no—
524C22×C4—302no—
525C22×C4C2×D3×D512yes—
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—22no—
528C4⋊C4—62no—
529C4⋊C4—154no—
530C4⋊C4—304no—
531C22⋊C4—64no—
532C22⋊C4—104no—
533C22⋊C4—104no—
534C22⋊C4—158no—
535C22⋊C4—304no—
536C42—102no—
537C42—154no—
538C42—304no—
539C42—302no—
540C42—302no—
541C3×C5C4×#12111yescharacteristic, complemented, Hall
542C22×C3—104no—
543C22×C3—104no—
544C22×C3—104no—
545C22×C3—202no—
546C22×C3—202no—
547C22×C3—202no—
548C22×C3—202no—
549C22×C3C22×C4×D511yescharacteristic
550C22×C3C2×D4×D511yescharacteristic
551C22×C3C2×D4×D511yescharacteristic
552C22×C3C2×#71111yescharacteristic
553C22×C3C2×#71311yescharacteristic
554C22×C3D5×#4111yescharacteristic
555C22×C3D5×#4111yescharacteristic
556C2×D3—22no—
557C2×D3—22no—
558C2×D3—22no—
559C2×D3—22no—
560C2×D3—22no—
561C2×D3—22no—
562C2×D3#403914yescomplemented
563C3×C4—42no—
564C3×C4—102no—
565C3×C4—102no—
566C3×C4#402714yescomplemented
567Dic3—22no—
568Dic3—42no—
569Dic3—54no—
570Dic3—104no—
571Dic3—102no—
572C2×C5—64no—
573C2×C5C2×#67⋊C411yescharacteristic
574C2×C5C4×#23711yescharacteristic
575C2×C5C4×D3×D411yescharacteristic
576C2×C5D3×#12111yescharacteristic
577C2×C5#560611yescharacteristic
578C2×C5#568011yescharacteristic
579C2×C5#571611yescharacteristic
580D5—44no—
581C23—32no—
582C23—32no—
583C23—32no—
584C23—54no—
585C23—61no—
586C23—61no—
587C23—61no—
588C23—61no—
589C23—102no—
590C23—102no—
591C23—102no—
592C23—102no—
593C23—102no—
594C23—102no—
595C23C22×D3×D511yescharacteristic
596D4—108no—
597D4—3016no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—32no—
602C2×C4—52no—
603C2×C4—52no—
604C2×C4—61no—
605C2×C4—61no—
606C2×C4—68no—
607C2×C4—62no—
608C2×C4—62no—
609C2×C4—62no—
610C2×C4—101no—
611C2×C4—101no—
612C2×C4—101no—
613C2×C4—101no—
614C2×C4—152no—
615C2×C4—152no—
616C2×C4—152no—
617C2×C4—154no—
618C2×C4—152no—
619C2×C4—308no—
620C2×C4—308no—
621C2×C4—302no—
622C2×C4—301no—
623C2×C4—301no—
624C2×C4—302no—
625C2×C4—608no—
626C2×C4C4×D3×D512yes—
627C2×C4#677712yes—
628C2×C4#678012yes—
629C2×C3—204no—
630C2×C3C2×#402711yescharacteristic
631C2×C3C2×#403911yescharacteristic
632C2×C3#6585611yescharacteristic
633C2×C3#6593011yescharacteristic
634C2×C3D5×#12111yescharacteristic
635C2×C3#6595811yescharacteristic
636C2×C3#6596111yescharacteristic
637D3—24no—
638C5#7629111yescharacteristic, complemented, Sylow
639C22—34no—
640C22—62no—
641C22—62no—
642C22—62no—
643C22—62no—
644C22—62no—
645C22—62no—
646C22—104no—
647C22—104no—
648C22—104no—
649C22—202no—
650C22—202no—
651C22—202no—
652C22—202no—
653C22C2×C4×D3×D511yescharacteristic
654C22C2×#677711yescharacteristic
655C22D3×D4×D511yescharacteristic
656C22D5×#23711yescharacteristic
657C22D3×#71311yescharacteristic
658C22#9203411yescharacteristic
659C22C2×#678011yescharacteristic
660C4—42no—
661C4—62no—
662C4—102no—
663C4—102no—
664C4—122no—
665C4—154no—
666C4—304no—
667C4—302no—
668C4#9144214yescomplemented
669C3#1060559611yescharacteristic, complemented, Sylow
670C2—64no—
671C2—204no—
672C2#1175339811yescharacteristic
673C2D3×#403911yescharacteristic
674C2#1175385011yescharacteristic
675C2#1175388511yescharacteristic
676C2C2×#9144211yescharacteristic
677C2#1175477111yescharacteristic
678C2#1175525011yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC2×#91456C2
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C4×#121
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#91442C2semidirect
3. C2×#91434C2semidirect
4. C2×C4×D3×Dic5C2semidirect
5. C4⋊C4×Dic15C2semidirect
6. C5×#4987C2semidirect
7. C3×#65277C2semidirect
8. #11748911C2semidirect
9. #11748884C2semidirect
10. #11748841C2semidirect
11. #11748708C2semidirect
33. #91456C4semidirect
46. #65277D3semidirect
63. C2×C4×C5×D3C2×C4semidirect
68. C2×C3×D20C2×C4semidirect
71. C2×#1201C2×C4semidirect
77. C2×D3×Dic5D4semidirect
82. C4⋊Dic15C2×C4semidirect
84. C4×Dic15D4semidirect
92. #6665C2×C4semidirect
100. #4987D5semidirect
234. C2×D20C4×D3semidirect
276. C2×C5×D3C4×D4semidirect
285. C3×C4×C5C4×D4semidirect
288. Dic15#121semidirect
321. C2×C4×D3C4×D5semidirect
492. C4×C5#67⋊C4semidirect
541. C3×C5C4×#121semidirect
562. C2×D3#4039semidirect
566. C3×C4#4027semidirect
638. C5#76291semidirect
668. C4#91442semidirect
669. C3#10605596semidirect

Maximal subgroups

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

subgroupindex
C2×#914562
C2×#914422
C2×#914342
C2×C4×D3×Dic52
C4⋊C4×Dic152
C5×#49872
C3×#652772
#117489112
#117488842
#117488412
#117487082
#106055963
#762915