Finite Group Databasebeta

← #14327341

Subgroups — #14327341

Order 1920.

1320 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C5×D4C211yesmaximal, characteristic
2C2×#91815C211yesmaximal, characteristic, complemented
3C22×C4⋊Dic15C211yesmaximal, characteristic, complemented
4#11751321C212yesmaximal
5#11751313C211yesmaximal, characteristic, complemented
6#11751313C211yesmaximal, characteristic, complemented
7#11751081C212yesmaximal, complemented
8#11751052C212yesmaximal, complemented
9C22⋊C4×Dic15C212yesmaximal, complemented
10#11751037C211yesmaximal, characteristic, complemented
11C4×C4⋊Dic15C211yesmaximal, characteristic, complemented
12#10614066—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×C3×C4×C5C2211yescharacteristic
15C23×C3×C4×C5C2211yescharacteristic
16C23×Dic15C2212yes—
17C3×C4×C5×D4C418yescomplemented
18C2×C3×C5×C4⋊C4C2211yescharacteristic
19C2×C3×C5×C22⋊C4C2211yescharacteristic
20C2×C3×C5×C22⋊C4C2211yescharacteristic
21C2×C3×C42×C5C2211yescharacteristic
22C2×#6719C2212yes—
23C2×#6719C2212yes—
24C2×#6719C2212yes—
25#91815—24no—
26C2×C4⋊Dic15—24no—
27C2×C4⋊Dic15C2211yescharacteristic
28C2×C4⋊Dic15C2212yes—
29C2×C4⋊Dic15C2211yescharacteristic
30C2×C4⋊Dic15C2211yescharacteristic
31C2×C4⋊Dic15C2211yescharacteristic
32C2×C4×Dic15C2212yes—
33C2×C4×Dic15C2212yes—
34#91115C2212yes—
35#91115C2212yes—
36#91115C2212yes—
37#91115C2212yes—
38#91115C2212yes—
39#82335—51nomaximal, Hall
40C2×C4×C5×D4D311yescharacteristic
41C2×#4072—31no—
42C22×C4⋊Dic5—31no—
43#65509—32no—
44#65501—31no—
45#65501—31no—
46#65270—32no—
47#65240—32no—
48C22⋊C4×Dic5—32no—
49#65225—31no—
50C4×C4⋊Dic5—31no—
51C24×C3×C5C2311yescharacteristic
52C24×C3×C5C2311yescharacteristic
53C2×C3×C5×D4—22no—
54C2×C3×C5×D4—22no—
55C2×C3×C5×D4C2×C414yes—
56C22×C3×C4×C5—22no—
57C22×C3×C4×C5—22no—
58C22×C3×C4×C5—22no—
59C22×C3×C4×C5—22no—
60C22×C3×C4×C5C2×C414yes—
61C22×C3×C4×C5C2×C414yescomplemented
62C22×C3×C4×C5C2311yescharacteristic
63C22×C3×C4×C5C2311yescharacteristic
64C22×C3×C4×C5C2311yescharacteristic
65C22×C3×C4×C5C2311yescharacteristic
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15—24no—
68C22×Dic15—24no—
69C22×Dic15—42no—
70C22×Dic15C2312yes—
71C22×Dic15C2312yes—
72C22×Dic15C2312yes—
73C22×Dic15C2312yes—
74C3×C5×C4⋊C4C2×C414yescomplemented
75C3×C5×C22⋊C4C2×C414yes—
76C3×C5×C22⋊C4C2×C414yescomplemented
77C3×C42×C5C2×C414yescomplemented
78#6719—24no—
79#6719—24no—
80#6719—42no—
81C4⋊Dic15—22no—
82C4⋊Dic15—22no—
83C4⋊Dic15—22no—
84C4⋊Dic15—24no—
85C4⋊Dic15D414yescomplemented
86C4×Dic15—24no—
87C4×Dic15—42no—
88C2×C3×C4×D4D511yescharacteristic
89C2×#926—51no—
90C22×C4⋊Dic3—51no—
91#5220—52no—
92#5212—51no—
93#5212—51no—
94#4980—52no—
95#4951—52no—
96Dic3×C22⋊C4—52no—
97#4936—51no—
98C4×C4⋊Dic3—51no—
99C22×C5×D4C2×D311yescharacteristic
100C23×C4×C5C2×D311yescharacteristic
101C23×C4×C5C2×D311yescharacteristic
102C23×Dic5—32no—
103C4×C5×D4Dic318yescomplemented
104C2×C5×C4⋊C4C2×D311yescharacteristic
105C2×C5×C22⋊C4C2×D311yescharacteristic
106C2×C5×C22⋊C4C2×D311yescharacteristic
107C2×C42×C5C2×D311yescharacteristic
108C2×C22⋊Dic5—32no—
109C2×C22⋊Dic5—32no—
110C2×C22⋊Dic5—32no—
111#4072—64no—
112C2×C4⋊Dic5—31no—
113C2×C4⋊Dic5—31no—
114C2×C4⋊Dic5—32no—
115C2×C4⋊Dic5—31no—
116C2×C4⋊Dic5—31no—
117C2×C4⋊Dic5—64no—
118C2×C4×Dic5—32no—
119C2×C4×Dic5—32no—
120#3963—32no—
121#3963—32no—
122#3963—32no—
123#3963—32no—
124#3963—32no—
125#2352—151noSylow
126C23×C3×C5—21no—
127C23×C3×C5—21no—
128C23×C3×C5—21no—
129C23×C3×C5—21no—
130C23×C3×C5—21no—
131C23×C3×C5—21no—
132C23×C3×C5—21no—
133C23×C3×C5—21no—
134C23×C3×C5—21no—
135C23×C3×C5—21no—
136C23×C3×C5C22×C412yes—
137C23×C3×C5C22×C412yes—
138C23×C3×C5#4112yes—
139C23×C3×C5#4112yes—
140C23×C3×C5C2411yescharacteristic
141C3×C5×D4—28no—
142C2×C3×C4×C5—21no—
143C2×C3×C4×C5—21no—
144C2×C3×C4×C5—21no—
145C2×C3×C4×C5—21no—
146C2×C3×C4×C5—21no—
147C2×C3×C4×C5—21no—
148C2×C3×C4×C5—21no—
149C2×C3×C4×C5—21no—
150C2×C3×C4×C5—28no—
151C2×C3×C4×C5—28no—
152C2×C3×C4×C5C22×C412yes—
153C2×C3×C4×C5C22×C412yes—
154C2×C3×C4×C5C22×C412yes—
155C2×C3×C4×C5C22×C412yes—
156C2×C3×C4×C5C22×C412yes—
157C2×C3×C4×C5C2×D412yes—
158C2×C3×C4×C5#4112yes—
159C2×Dic15—22no—
160C2×Dic15—22no—
161C2×Dic15—22no—
162C2×Dic15—22no—
163C2×Dic15—22no—
164C2×Dic15—22no—
165C2×Dic15—22no—
166C2×Dic15—22no—
167C2×Dic15—22no—
168C2×Dic15—22no—
169C2×Dic15—22no—
170C2×Dic15—48no—
171C2×Dic15C2×D414yes—
172C22×C3×D4C2×D511yescharacteristic
173C23×C3×C4C2×D511yescharacteristic
174C23×C3×C4C2×D511yescharacteristic
175C23×Dic3—52no—
176C3×C4×D4Dic518yescomplemented
177C2×C3×C4⋊C4C2×D511yescharacteristic
178C2×C3×C22⋊C4C2×D511yescharacteristic
179C2×C3×C22⋊C4C2×D511yescharacteristic
180C2×C3×C42C2×D511yescharacteristic
181C2×#217—52no—
182C2×#217—52no—
183C2×#217—52no—
184#926—104no—
185C2×C4⋊Dic3—51no—
186C2×C4⋊Dic3—51no—
187C2×C4⋊Dic3—51no—
188C2×C4⋊Dic3—51no—
189C2×C4⋊Dic3—52no—
190C2×C4⋊Dic3—104no—
191C2×C4×Dic3—52no—
192C2×C4×Dic3—52no—
193C3⋊#95—52no—
194C3⋊#95—52no—
195C3⋊#95—52no—
196C3⋊#95—52no—
197C3⋊#95—52no—
198C24×C5C22×D311yescharacteristic
199C24×C5C22×D311yescharacteristic
200C2×C5×D4—22no—
201C2×C5×D4—22no—
202C2×C5×D4C2×Dic314yes—
203C22×C4×C5—22no—
204C22×C4×C5—22no—
205C22×C4×C5—22no—
206C22×C4×C5—22no—
207C22×C4×C5C2×Dic314yes—
208C22×C4×C5C2×Dic314yescomplemented
209C22×C4×C5C22×D311yescharacteristic
210C22×C4×C5C22×D311yescharacteristic
211C22×C4×C5C22×D311yescharacteristic
212C22×C4×C5C22×D311yescharacteristic
213C22×C4×C5C22×D311yescharacteristic
214C22×Dic5—32no—
215C22×Dic5—32no—
216C22×Dic5—32no—
217C22×Dic5—32no—
218C22×Dic5—64no—
219C22×Dic5—64no—
220C22×Dic5—122no—
221C5×C4⋊C4C2×Dic314yescomplemented
222C5×C22⋊C4C2×Dic314yes—
223C5×C22⋊C4C2×Dic314yescomplemented
224C42×C5C2×Dic314yescomplemented
225C22⋊Dic5—64no—
226C22⋊Dic5—64no—
227C22⋊Dic5—122no—
228C4⋊Dic5—34no—
229C4⋊Dic5—64no—
230C4⋊Dic5—62no—
231C4⋊Dic5—62no—
232C4⋊Dic5—62no—
233C4×Dic5—64no—
234C4×Dic5—122no—
235C2×C4×D4D1511yescharacteristic
236C2×#117—151no—
237C22×C4⋊C4—151no—
238#388—152no—
239#387—152no—
240#386—152no—
241#382—151no—
242#380—151no—
243#380—151no—
244C4×C4⋊C4—151no—
245C4×C22⋊C4—152no—
246C22×C3×C5—22no—
247C22×C3×C5—22no—
248C22×C3×C5—22no—
249C22×C3×C5—22no—
250C22×C3×C5—22no—
251C22×C3×C5—22no—
252C22×C3×C5—22no—
253C22×C3×C5—22no—
254C22×C3×C5—22no—
255C22×C3×C5—41no—
256C22×C3×C5—41no—
257C22×C3×C5—41no—
258C22×C3×C5—41no—
259C22×C3×C5#11714yescomplemented
260C22×C3×C5C23×C411yescharacteristic
261C22×C3×C5C22×D411yescharacteristic
262C22×C3×C5C2×#4111yescharacteristic
263C22×C3×C5C2×#4111yescharacteristic
264C22×C3×C5C2×#4111yescharacteristic
265C22×C3×C5H(5,𝔽2)11yescharacteristic
266C22×C3×C52−1+411yescharacteristic
267C3×C4×C5—22no—
268C3×C4×C5—22no—
269C3×C4×C5—22no—
270C3×C4×C5—22no—
271C3×C4×C5C4×D414yes—
272Dic15—24no—
273Dic15—42no—
274Dic15—42no—
275Dic15—42no—
276C24×C3C22×D511yescharacteristic
277C24×C3C22×D511yescharacteristic
278C2×C3×D4—22no—
279C2×C3×D4—22no—
280C2×C3×D4C2×Dic514yes—
281C22×C3×C4—22no—
282C22×C3×C4—22no—
283C22×C3×C4—22no—
284C22×C3×C4—22no—
285C22×C3×C4C2×Dic514yes—
286C22×C3×C4C2×Dic514yescomplemented
287C22×C3×C4C22×D511yescharacteristic
288C22×C3×C4C22×D511yescharacteristic
289C22×C3×C4C22×D511yescharacteristic
290C22×C3×C4C22×D511yescharacteristic
291C22×C3×C4C22×D511yescharacteristic
292C22×Dic3—52no—
293C22×Dic3—52no—
294C22×Dic3—52no—
295C22×Dic3—52no—
296C22×Dic3—104no—
297C22×Dic3—104no—
298C22×Dic3—202no—
299C3×C4⋊C4C2×Dic514yescomplemented
300C3×C22⋊C4C2×Dic514yes—
301C3×C22⋊C4C2×Dic514yescomplemented
302C3×C42C2×Dic514yescomplemented
303#217—104no—
304#217—104no—
305#217—202no—
306C4⋊Dic3—54no—
307C4⋊Dic3—104no—
308C4⋊Dic3—102no—
309C4⋊Dic3—102no—
310C4⋊Dic3—102no—
311C4×Dic3—104no—
312C4×Dic3—202no—
313C23×C5—21no—
314C23×C5—21no—
315C23×C5—21no—
316C23×C5—21no—
317C23×C5—21no—
318C23×C5—21no—
319C23×C5—21no—
320C23×C5—21no—
321C23×C5—21no—
322C23×C5—21no—
323C23×C5#23512yes—
324C23×C5#23512yes—
325C23×C5C22×Dic312yes—
326C23×C5C22×Dic312yes—
327C23×C5C23×D311yescharacteristic
328C5×D4—28no—
329C2×C4×C5—21no—
330C2×C4×C5—21no—
331C2×C4×C5—21no—
332C2×C4×C5—21no—
333C2×C4×C5—21no—
334C2×C4×C5—21no—
335C2×C4×C5—21no—
336C2×C4×C5—21no—
337C2×C4×C5—28no—
338C2×C4×C5—28no—
339C2×C4×C5D3×D412yes—
340C2×C4×C5#23712yes—
341C2×C4×C5C22×Dic312yes—
342C2×C4×C5C22×Dic312yes—
343C2×C4×C5C22×Dic312yes—
344C2×C4×C5C22×Dic312yes—
345C2×C4×C5C22×Dic312yes—
346C2×Dic5—34no—
347C2×Dic5—62no—
348C2×Dic5—62no—
349C2×Dic5—62no—
350C2×Dic5—62no—
351C2×Dic5—62no—
352C2×Dic5—62no—
353C2×Dic5—62no—
354C2×Dic5—62no—
355C2×Dic5—62no—
356C2×Dic5—62no—
357C2×Dic5—62no—
358C2×Dic5—128no—
359C22×D4C2×D1511yescharacteristic
360C23×C4—152no—
361C23×C4C2×D1511yescharacteristic
362C23×C4C2×D1511yescharacteristic
363C4×D4Dic1518yescomplemented
364#117—304no—
365C2×C4⋊C4—151no—
366C2×C4⋊C4—151no—
367C2×C4⋊C4—152no—
368C2×C4⋊C4—151no—
369C2×C4⋊C4—151no—
370C2×C4⋊C4—304no—
371C2×C4⋊C4C2×D1511yescharacteristic
372C2×C22⋊C4—152no—
373C2×C22⋊C4—152no—
374C2×C22⋊C4—152no—
375C2×C22⋊C4C2×D1511yescharacteristic
376C2×C22⋊C4C2×D1511yescharacteristic
377C2×C42—152no—
378C2×C42—152no—
379C2×C42C2×D1511yescharacteristic
380#95—152no—
381#95—152no—
382#95—152no—
383#95—152no—
384#95—152no—
385C2×C3×C5—24no—
386C2×C3×C5—42no—
387C2×C3×C5C2×#11711yescharacteristic
388C2×C3×C5C2×C4×D411yescharacteristic
389C2×C3×C5#52011yescharacteristic
390C2×C3×C5#54611yescharacteristic
391C2×C3×C5#54811yescharacteristic
392C2×C3×C5#55211yescharacteristic
393C2×C3×C5#55311yescharacteristic
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3—21no—
400C23×C3—21no—
401C23×C3—21no—
402C23×C3—21no—
403C23×C3—21no—
404C23×C3#70912yes—
405C23×C3#70912yes—
406C23×C3C22×Dic512yes—
407C23×C3C22×Dic512yes—
408C23×C3C23×D511yescharacteristic
409C3×D4—28no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—28no—
419C2×C3×C4—28no—
420C2×C3×C4D4×D512yes—
421C2×C3×C4#71112yes—
422C2×C3×C4C22×Dic512yes—
423C2×C3×C4C22×Dic512yes—
424C2×C3×C4C22×Dic512yes—
425C2×C3×C4C22×Dic512yes—
426C2×C3×C4C22×Dic512yes—
427C2×Dic3—54no—
428C2×Dic3—102no—
429C2×Dic3—102no—
430C2×Dic3—102no—
431C2×Dic3—102no—
432C2×Dic3—102no—
433C2×Dic3—102no—
434C2×Dic3—102no—
435C2×Dic3—102no—
436C2×Dic3—102no—
437C2×Dic3—102no—
438C2×Dic3—102no—
439C2×Dic3—208no—
440C22×C5—22no—
441C22×C5—22no—
442C22×C5—22no—
443C22×C5—22no—
444C22×C5—22no—
445C22×C5—22no—
446C22×C5—22no—
447C22×C5—22no—
448C22×C5—22no—
449C22×C5—41no—
450C22×C5—41no—
451C22×C5—41no—
452C22×C5—41no—
453C22×C5#92614yescomplemented
454C22×C5C2×#23511yescharacteristic
455C22×C5C2×#23511yescharacteristic
456C22×C5C2×D3×D411yescharacteristic
457C22×C5C2×#23711yescharacteristic
458C22×C5#100911yescharacteristic
459C22×C5#101011yescharacteristic
460C22×C5C23×Dic311yescharacteristic
461C4×C5—22no—
462C4×C5—22no—
463C4×C5—22no—
464C4×C5—22no—
465C4×C5D4×Dic314yes—
466Dic5—64no—
467Dic5—122no—
468Dic5—122no—
469Dic5—122no—
470C24C22×D1511yescharacteristic
471C24C22×D1511yescharacteristic
472C2×D4—22no—
473C2×D4—22no—
474C2×D4C2×Dic1514yes—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—152no—
480C22×C4—152no—
481C22×C4—152no—
482C22×C4—152no—
483C22×C4—304no—
484C22×C4—304no—
485C22×C4—602no—
486C22×C4C2×Dic1514yes—
487C22×C4C2×Dic1514yescomplemented
488C22×C4C22×D1511yescharacteristic
489C22×C4C22×D1511yescharacteristic
490C22×C4C22×D1511yescharacteristic
491C22×C4C22×D1511yescharacteristic
492C22×C4C22×D1511yescharacteristic
493C4⋊C4—154no—
494C4⋊C4—304no—
495C4⋊C4—302no—
496C4⋊C4—302no—
497C4⋊C4—302no—
498C4⋊C4C2×Dic1514yescomplemented
499C22⋊C4—304no—
500C22⋊C4—304no—
501C22⋊C4—602no—
502C22⋊C4C2×Dic1514yes—
503C22⋊C4C2×Dic1514yescomplemented
504C42—304no—
505C42—602no—
506C42C2×Dic1514yescomplemented
507C3×C5#235211yescharacteristic, complemented, Hall
508C22×C3—22no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—22no—
512C22×C3—22no—
513C22×C3—22no—
514C22×C3—22no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—41no—
518C22×C3—41no—
519C22×C3—41no—
520C22×C3—41no—
521C22×C3#407214yescomplemented
522C22×C3C2×#70911yescharacteristic
523C22×C3C2×#70911yescharacteristic
524C22×C3C2×D4×D511yescharacteristic
525C22×C3C2×#71111yescharacteristic
526C22×C3#414911yescharacteristic
527C22×C3#415011yescharacteristic
528C22×C3C23×Dic511yescharacteristic
529C3×C4—22no—
530C3×C4—22no—
531C3×C4—22no—
532C3×C4—22no—
533C3×C4D4×Dic514yes—
534Dic3—104no—
535Dic3—202no—
536Dic3—202no—
537Dic3—202no—
538C2×C5—24no—
539C2×C5—42no—
540C2×C5#554111yescharacteristic
541C2×C5#555011yescharacteristic
542C2×C5#555211yescharacteristic
543C2×C5#556511yescharacteristic
544C2×C5C2×#92611yescharacteristic
545C2×C5C2×D4×Dic311yescharacteristic
546C2×C5#582711yescharacteristic
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23#681712yes—
558C23#681712yes—
559C23C22×Dic1512yes—
560C23C22×Dic1512yes—
561C23C23×D1511yescharacteristic
562D4—28no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—28no—
572C2×C4—28no—
573C2×C4—154no—
574C2×C4—302no—
575C2×C4—302no—
576C2×C4—302no—
577C2×C4—302no—
578C2×C4—302no—
579C2×C4—302no—
580C2×C4—302no—
581C2×C4—302no—
582C2×C4—302no—
583C2×C4—302no—
584C2×C4—302no—
585C2×C4—608no—
586C2×C4D4×D1512yes—
587C2×C4#681912yes—
588C2×C4C22×Dic1512yes—
589C2×C4C22×Dic1512yes—
590C2×C4C22×Dic1512yes—
591C2×C4C22×Dic1512yes—
592C2×C4C22×Dic1512yes—
593C2×C3—24no—
594C2×C3—42no—
595C2×C3#6587511yescharacteristic
596C2×C3#6588411yescharacteristic
597C2×C3#6588611yescharacteristic
598C2×C3#6589911yescharacteristic
599C2×C3C2×#407211yescharacteristic
600C2×C3C2×D4×Dic511yescharacteristic
601C2×C3#6616111yescharacteristic
602C5#8233511yescharacteristic, complemented, Sylow
603C22—22no—
604C22—22no—
605C22—22no—
606C22—22no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22#9181514yescomplemented
617C22C2×#681711yescharacteristic
618C22C2×#681711yescharacteristic
619C22C2×D4×D1511yescharacteristic
620C22C2×#681911yescharacteristic
621C22#9210011yescharacteristic
622C22#9210111yescharacteristic
623C22C23×Dic1511yescharacteristic
624C4—22no—
625C4—22no—
626C4—22no—
627C4—22no—
628C4—304no—
629C4—602no—
630C4—602no—
631C4—602no—
632C4D4×Dic1514yes—
633C3#1061406611yescharacteristic, complemented, Sylow
634C2—24no—
635C2—42no—
636C2#1175630011yescharacteristic
637C2#1175630911yescharacteristic
638C2#1175631111yescharacteristic
639C2#1175632411yescharacteristic
640C2C2×#9181511yescharacteristic
641C2C2×D4×Dic1511yescharacteristic
642C2#1175658611yescharacteristic
subgroupG/H
center, FrattiniC23C23×D15
commutatorC22×C3×C5C23×C4
FittingC2×C3×C4×C5×D4C2
socle, cosocleC23×C3×C5C24
prime radicalC22×C3×C5×D4C22
hypercenterC2×C4×D4D15
hypocenterC3×C5#2352
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
2. C2×#91815C2semidirect
3. C22×C4⋊Dic15C2semidirect
5. #11751313C2semidirect
6. #11751313C2semidirect
7. #11751081C2semidirect
8. #11751052C2semidirect
9. C22⋊C4×Dic15C2semidirect
10. #11751037C2semidirect
11. C4×C4⋊Dic15C2semidirect
17. C3×C4×C5×D4C4semidirect
61. C22×C3×C4×C5C2×C4semidirect
74. C3×C5×C4⋊C4C2×C4semidirect
76. C3×C5×C22⋊C4C2×C4semidirect
77. C3×C42×C5C2×C4semidirect
85. C4⋊Dic15D4semidirect
103. C4×C5×D4Dic3semidirect
176. C3×C4×D4Dic5semidirect
208. C22×C4×C5C2×Dic3semidirect
221. C5×C4⋊C4C2×Dic3semidirect
223. C5×C22⋊C4C2×Dic3semidirect
224. C42×C5C2×Dic3semidirect
259. C22×C3×C5#117semidirect
286. C22×C3×C4C2×Dic5semidirect
299. C3×C4⋊C4C2×Dic5semidirect
301. C3×C22⋊C4C2×Dic5semidirect
302. C3×C42C2×Dic5semidirect
363. C4×D4Dic15semidirect
453. C22×C5#926semidirect
487. C22×C4C2×Dic15semidirect
498. C4⋊C4C2×Dic15semidirect
503. C22⋊C4C2×Dic15semidirect
506. C42C2×Dic15semidirect
507. C3×C5#2352semidirect
521. C22×C3#4072semidirect
602. C5#82335semidirect
616. C22#91815semidirect
633. C3#10614066semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×C5×D42
C2×#918152
C22×C4⋊Dic152
#117513212
#117513132
#117510812
#117510522
C22⋊C4×Dic152
#117510372
C4×C4⋊Dic152
#106140663
#823355