Finite Group Databasebeta

← C5×D3×#544 #14481726

Subgroups — C5×D3×#544 #14481726

Order 1920.

2160 conjugacy classes of subgroups.

The subgroup lattice has 576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C5×#544C211yesmaximal, characteristic, complemented
2C5×#5729C214yesmaximal, complemented
3C5×D3×C4⋊Q8C214yesmaximal, complemented
4C5×#5689C214yesmaximal, complemented
5C5×D3×#125C214yesmaximal, complemented
6C5×D3×C22⋊Q8C214yesmaximal
7C5×#5623C214yesmaximal, complemented
8C5×D3×#117C212yesmaximal
9C5×#5519C212yesmaximal, complemented
10C2×C5×D3×C4⋊C4C211yesmaximal, characteristic
11C5×#5500C211yesmaximal, characteristic, complemented
12C2×C5×#544—31nomaximal, Hall
13C2×C5×D3×Q8C2214yes—
14C22×C4×C5×D3C2212yes—
15C22×C4×C5×D3C2211yescharacteristic
16C3×C5×C4⋊Q8C2214yescomplemented
17C3×C5×#125C2214yescomplemented
18C3×C5×C22⋊Q8C2214yes—
19C3×C5×#117C2212yes—
20C2×C3×C5×C4⋊C4C2211yescharacteristic
21C5×#946C2214yes—
22C5×#944C2218yescomplemented
23C5×#926C2212yes—
24C2×C5×C4⋊Dic3C2211yescharacteristic
25C5×#924C2214yes—
26C2×C5×Dic3⋊C4C2212yes—
27C5×#897C2214yes—
28C5×#896C2218yes—
29C5×#892C2212yes—
30C5×#892C2212yes—
31C5×D3×C4⋊C4C2212yes—
32C5×D3×C4⋊C4C2214yes—
33C5×D3×C4⋊C4C2214yes—
34C5×D3×C4⋊C4C2218yes—
35C5×D3×C4⋊C4C2214yes—
36C5×D3×C4⋊C4C2212yes—
37C5×#890C2214yescomplemented
38C5×#890C2214yescomplemented
39C5×#889C2218yescomplemented
40C5×#889C2218yescomplemented
41C5×#888C2214yescomplemented
42C5×#888C2218yescomplemented
43C5×#888C2214yescomplemented
44C5×D3×C22⋊C4C2214yes—
45C5×#878C2218yes—
46C5×#877C2214yes—
47C5×#872C2214yes—
48C42×C5×D3C2214yes—
49C5×#870C2214yescomplemented
50C5×#869C2214yescomplemented
51D3×#544C511yesmaximal, characteristic, direct product factor, Hall
52C5×#544—34no—
53C5×#544—34no—
54C5×#544—34no—
55C5×#544—32no—
56C5×#544—31no—
57C5×#544D311yescharacteristic, direct product factor
58C2×C5×C4⋊Q8—34no—
59C2×C5×#125—34no—
60C2×C5×C22⋊Q8—34no—
61C2×C5×#117—32no—
62C22×C5×C4⋊C4—31no—
63C23×C5×D3C2311yescharacteristic
64C2×C3×C5×Q8C2314yes—
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×C5×Dic3C2312yes—
68C22×C5×Dic3C2311yescharacteristic
69C5×D3×Q8—48no—
70C2×C4×C5×D3—44no—
71C2×C4×C5×D3Q818yescomplemented
72C2×C4×C5×D3C2314yes—
73C2×C4×C5×D3C2314yes—
74C2×C4×C5×D3C2314yes—
75C2×C4×C5×D3C2314yes—
76C2×C4×C5×D3C2312yes—
77C2×C4×C5×D3C2312yes—
78C2×C5×Dic6C2318yes—
79C2×C5×Dic6C2314yes—
80C3×C5×C4⋊C4C2312yes—
81C3×C5×C4⋊C4C2318yes—
82C3×C5×C4⋊C4C2314yes—
83C3×C5×C4⋊C4C2314yes—
84C3×C5×C4⋊C4C2312yes—
85C3×C5×C22⋊C4C2314yes—
86C3×C42×C5C2314yes—
87C5×#217C2314yes—
88C5×(C2×D3)⋊C4C2314yes—
89C5×(C2×D3)⋊C4C2314yes—
90C5×C4⋊Dic3C2312yes—
91C5×C4⋊Dic3C2314yes—
92C5×C4⋊Dic3C2318yes—
93C5×C4⋊Dic3C2312yes—
94C5×C4⋊Dic3C2314yes—
95C5×Dic3⋊C4C2318yes—
96C5×Dic3⋊C4C2318yes—
97C5×Dic3⋊C4C2314yes—
98C5×Dic3⋊C4C2314yes—
99C5×Dic3⋊C4C2318yes—
100C5×Dic3⋊C4C2318yes—
101C4×C5×Dic3C2314yes—
102C4×C5×Dic3C2314yes—
103C4×C5×Dic3C2314yes—
104C3×#544C2×C511yescharacteristic, complemented
105#5729C2×C514yescomplemented
106D3×C4⋊Q8C2×C514yescomplemented
107#5689C2×C514yescomplemented
108D3×#125C2×C514yescomplemented
109D3×C22⋊Q8C2×C514yes—
110#5623C2×C514yescomplemented
111D3×#117C2×C512yes—
112#5519C2×C512yescomplemented
113C2×D3×C4⋊C4C2×C511yescharacteristic
114#5500C2×C511yescharacteristic, complemented
115C22×C5×Q8—34no—
116C23×C4×C5—31no—
117C23×C4×C5—32no—
118C5×C4⋊Q8—38no—
119C5×C4⋊Q8—38no—
120C5×C4⋊Q8—34no—
121C5×C4⋊Q8—34no—
122C5×C4⋊Q8—34no—
123C5×C4⋊Q8C2×D314yescomplemented
124C5×#125—38no—
125C5×#125—38no—
126C5×#125—34no—
127C5×#125—34no—
128C5×#125—34no—
129C5×#125C2×D314yescomplemented
130C5×C22⋊Q8—34no—
131C5×C22⋊Q8—34no—
132C5×C22⋊Q8—38no—
133C5×C22⋊Q8—34no—
134C5×C22⋊Q8—38no—
135C5×C22⋊Q8C2×D314yes—
136C5×#117—32no—
137C5×#117—32no—
138C5×#117—32no—
139C5×#117—34no—
140C5×#117—34no—
141C5×#117C2×D312yes—
142C2×C5×C4⋊C4—32no—
143C2×C5×C4⋊C4—31no—
144C2×C5×C4⋊C4—34no—
145C2×C5×C4⋊C4—34no—
146C2×C5×C4⋊C4—32no—
147C2×C5×C4⋊C4—32no—
148C2×C5×C4⋊C4—34no—
149C2×C5×C4⋊C4—38no—
150C2×C5×C4⋊C4C2×D311yescharacteristic
151C2×C5×C22⋊C4—34no—
152C2×C42×C5—34no—
153C2×#544—31noSylow
154C23×C3×C5C2411yescharacteristic
155C22×C5×D3—22no—
156C22×C5×D3—22no—
157C22×C5×D3C2×Q814yes—
158C22×C5×D3C2411yescharacteristic
159C22×C5×D3C2411yescharacteristic
160C3×C5×Q8—44no—
161C2×C3×C4×C5—42no—
162C2×C3×C4×C5C2×Q814yescomplemented
163C2×C3×C4×C5C2414yes—
164C2×C3×C4×C5C2414yes—
165C2×C3×C4×C5C2414yes—
166C2×C3×C4×C5C2412yes—
167C2×C5×Dic3—42no—
168C2×C5×Dic3C2×Q814yescomplemented
169C2×C5×Dic3C2414yes—
170C2×C5×Dic3C2414yes—
171C2×C5×Dic3C2414yes—
172C2×C5×Dic3C2412yes—
173C4×C5×D3—28no—
174C4×C5×D3—28no—
175C4×C5×D3—28no—
176C4×C5×D3—44no—
177C4×C5×D3C2×Q818yes—
178C4×C5×D3C2×Q818yescomplemented
179C5×Dic6—44no—
180C5×Dic6—48no—
181C2×D3×Q8C22×C514yes—
182C22×C4×D3C22×C512yes—
183C22×C4×D3C22×C511yescharacteristic
184C3×C4⋊Q8C22×C514yescomplemented
185C3×#125C22×C514yescomplemented
186C3×C22⋊Q8C22×C514yes—
187C3×#117C22×C512yes—
188C2×C3×C4⋊C4C22×C511yescharacteristic
189#946C22×C514yes—
190#944C22×C518yescomplemented
191#926C22×C512yes—
192C2×C4⋊Dic3C22×C511yescharacteristic
193#924C22×C514yes—
194C2×Dic3⋊C4C22×C512yes—
195#897C22×C514yes—
196#896C22×C518yes—
197#892C22×C512yes—
198#892C22×C512yes—
199D3×C4⋊C4C22×C512yes—
200D3×C4⋊C4C22×C514yes—
201D3×C4⋊C4C22×C514yes—
202D3×C4⋊C4C22×C518yes—
203D3×C4⋊C4C22×C514yes—
204D3×C4⋊C4C22×C512yes—
205#890C22×C514yescomplemented
206#890C22×C514yescomplemented
207#889C22×C518yescomplemented
208#889C22×C518yescomplemented
209#888C22×C514yescomplemented
210#888C22×C518yescomplemented
211#888C22×C514yescomplemented
212D3×C22⋊C4C22×C514yes—
213#878C22×C518yes—
214#877C22×C514yes—
215#872C22×C514yes—
216C42×D3C22×C514yes—
217#870C22×C514yescomplemented
218#869C22×C514yescomplemented
219C24×C5—31no—
220C2×C5×Q8—34no—
221C2×C5×Q8—38no—
222C2×C5×Q8—128no—
223C2×C5×Q8C22×D314yes—
224C22×C4×C5—31no—
225C22×C4×C5—38no—
226C22×C4×C5—32no—
227C22×C4×C5—32no—
228C22×C4×C5—32no—
229C22×C4×C5—34no—
230C22×C4×C5—34no—
231C22×C4×C5—34no—
232C22×C4×C5—34no—
233C22×C4×C5—124no—
234C22×C4×C5C22×D312yes—
235C22×C4×C5C22×D311yescharacteristic
236C5×C4⋊C4—38no—
237C5×C4⋊C4—34no—
238C5×C4⋊C4—34no—
239C5×C4⋊C4—32no—
240C5×C4⋊C4—34no—
241C5×C4⋊C4—32no—
242C5×C4⋊C4—38no—
243C5×C4⋊C4—34no—
244C5×C4⋊C4—38no—
245C5×C4⋊C4—38no—
246C5×C4⋊C4—38no—
247C5×C4⋊C4C22×D314yes—
248C5×C4⋊C4C22×D312yes—
249C5×C4⋊C4C22×D312yes—
250C5×C4⋊C4C22×D314yes—
251C5×C4⋊C4C22×D318yes—
252C5×C22⋊C4—34no—
253C5×C22⋊C4—34no—
254C5×C22⋊C4—34no—
255C5×C22⋊C4C22×D314yes—
256C42×C5—34no—
257C42×C5—34no—
258C42×C5—34no—
259C42×C5C22×D314yes—
260#544—34no—
261#544—34no—
262#544—34no—
263#544—32no—
264#544—31no—
265#544C5×D311yescharacteristic, direct product factor
266C2×C4⋊Q8—34no—
267C2×#125—34no—
268C2×C22⋊Q8—34no—
269C2×#117—32no—
270C22×C4⋊C4—31no—
271C22×C3×C5—21no—
272C22×C3×C5—21no—
273C22×C3×C5C22×Q812yes—
274C22×C3×C5C2511yescharacteristic
275C2×C5×D3—21no—
276C2×C5×D3—21no—
277C2×C5×D3—28no—
278C2×C5×D3C22×Q812yes—
279C2×C5×D3C22×Q812yes—
280C2×C5×D3H(5,𝔽2)12yes—
281C2×C5×D32−1+412yes—
282C3×C4×C5—24no—
283C3×C4×C5—24no—
284C3×C4×C5—24no—
285C3×C4×C5C22×Q814yes—
286C5×Dic3—24no—
287C5×Dic3—24no—
288C5×Dic3—24no—
289C5×Dic3C22×Q814yes—
290C23×D3C23×C511yescharacteristic
291C2×C3×Q8C23×C514yes—
292C22×C3×C4C23×C512yes—
293C22×C3×C4C23×C511yescharacteristic
294C22×Dic3C23×C512yes—
295C22×Dic3C23×C511yescharacteristic
296D3×Q8—48no—
297C2×C4×D3—44no—
298C2×C4×D3C5×Q818yescomplemented
299C2×C4×D3C23×C514yes—
300C2×C4×D3C23×C514yes—
301C2×C4×D3C23×C514yes—
302C2×C4×D3C23×C514yes—
303C2×C4×D3C23×C512yes—
304C2×C4×D3C23×C512yes—
305C2×Dic6C23×C518yes—
306C2×Dic6C23×C514yes—
307C3×C4⋊C4C23×C512yes—
308C3×C4⋊C4C23×C518yes—
309C3×C4⋊C4C23×C514yes—
310C3×C4⋊C4C23×C514yes—
311C3×C4⋊C4C23×C512yes—
312C3×C22⋊C4C23×C514yes—
313C3×C42C23×C514yes—
314#217C23×C514yes—
315(C2×D3)⋊C4C23×C514yes—
316(C2×D3)⋊C4C23×C514yes—
317C4⋊Dic3C23×C512yes—
318C4⋊Dic3C23×C514yes—
319C4⋊Dic3C23×C518yes—
320C4⋊Dic3C23×C512yes—
321C4⋊Dic3C23×C514yes—
322Dic3⋊C4C23×C518yes—
323Dic3⋊C4C23×C518yes—
324Dic3⋊C4C23×C514yes—
325Dic3⋊C4C23×C514yes—
326Dic3⋊C4C23×C518yes—
327Dic3⋊C4C23×C518yes—
328C4×Dic3C23×C514yes—
329C4×Dic3C23×C514yes—
330C4×Dic3C23×C514yes—
331C23×C5—31no—
332C23×C5—34no—
333C23×C5—31no—
334C23×C5—62no—
335C23×C5—62no—
336C23×C5C23×D311yescharacteristic
337C5×Q8—44no—
338C5×Q8—124no—
339C5×Q8—128no—
340C2×C4×C5—34no—
341C2×C4×C5—32no—
342C2×C4×C5—38no—
343C2×C4×C5—38no—
344C2×C4×C5—34no—
345C2×C4×C5—34no—
346C2×C4×C5—34no—
347C2×C4×C5—42no—
348C2×C4×C5—68no—
349C2×C4×C5—68no—
350C2×C4×C5—68no—
351C2×C4×C5—124no—
352C2×C4×C5—122no—
353C2×C4×C5D3×Q814yescomplemented
354C2×C4×C5C23×D314yes—
355C2×C4×C5C23×D314yes—
356C2×C4×C5C23×D314yes—
357C2×C4×C5C23×D312yes—
358C22×Q8—34no—
359C23×C4—31no—
360C23×C4—32no—
361C4⋊Q8—38no—
362C4⋊Q8—38no—
363C4⋊Q8—34no—
364C4⋊Q8—34no—
365C4⋊Q8—34no—
366C4⋊Q8C2×C5×D314yescomplemented
367#125—38no—
368#125—38no—
369#125—34no—
370#125—34no—
371#125—34no—
372#125C2×C5×D314yescomplemented
373C22⋊Q8—34no—
374C22⋊Q8—34no—
375C22⋊Q8—38no—
376C22⋊Q8—34no—
377C22⋊Q8—38no—
378C22⋊Q8C2×C5×D314yes—
379#117—32no—
380#117—32no—
381#117—32no—
382#117—34no—
383#117—34no—
384#117C2×C5×D312yes—
385C2×C4⋊C4—32no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—34no—
388C2×C4⋊C4—34no—
389C2×C4⋊C4—32no—
390C2×C4⋊C4—32no—
391C2×C4⋊C4—34no—
392C2×C4⋊C4—38no—
393C2×C4⋊C4C2×C5×D311yescharacteristic
394C2×C22⋊C4—34no—
395C2×C42—34no—
396C2×C3×C5—22no—
397C2×C3×C5C23×Q811yescharacteristic
398C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
399C2×C3×C5C2×2−1+411yescharacteristic
400C5×D3—22no—
401C5×D3#54414yesdirect product factor
402C23×C3C24×C511yescharacteristic
403C22×D3—22no—
404C22×D3—22no—
405C22×D3C2×C5×Q814yes—
406C22×D3C24×C511yescharacteristic
407C22×D3C24×C511yescharacteristic
408C3×Q8—44no—
409C2×C3×C4—42no—
410C2×C3×C4C2×C5×Q814yescomplemented
411C2×C3×C4C24×C514yes—
412C2×C3×C4C24×C514yes—
413C2×C3×C4C24×C514yes—
414C2×C3×C4C24×C512yes—
415C2×Dic3—42no—
416C2×Dic3C2×C5×Q814yescomplemented
417C2×Dic3C24×C514yes—
418C2×Dic3C24×C514yes—
419C2×Dic3C24×C514yes—
420C2×Dic3C24×C512yes—
421C4×D3—28no—
422C4×D3—28no—
423C4×D3—28no—
424C4×D3—44no—
425C4×D3C2×C5×Q818yes—
426C4×D3C2×C5×Q818yescomplemented
427Dic6—44no—
428Dic6—48no—
429C22×C5—21no—
430C22×C5—21no—
431C22×C5—32no—
432C22×C5—32no—
433C22×C5—32no—
434C22×C5—32no—
435C22×C5—68no—
436C22×C5—61no—
437C22×C5—61no—
438C22×C5C2×D3×Q812yes—
439C22×C5C24×D311yescharacteristic
440C4×C5—24no—
441C4×C5—24no—
442C4×C5—24no—
443C4×C5—34no—
444C4×C5—64no—
445C4×C5—64no—
446C4×C5—64no—
447C4×C5C2×D3×Q814yes—
448C24—31no—
449C2×Q8—34no—
450C2×Q8—38no—
451C2×Q8—128no—
452C2×Q8C22×C5×D314yes—
453C22×C4—31no—
454C22×C4—38no—
455C22×C4—32no—
456C22×C4—32no—
457C22×C4—32no—
458C22×C4—34no—
459C22×C4—34no—
460C22×C4—34no—
461C22×C4—34no—
462C22×C4—124no—
463C22×C4C22×C5×D312yes—
464C22×C4C22×C5×D311yescharacteristic
465C4⋊C4—38no—
466C4⋊C4—34no—
467C4⋊C4—34no—
468C4⋊C4—32no—
469C4⋊C4—34no—
470C4⋊C4—32no—
471C4⋊C4—38no—
472C4⋊C4—34no—
473C4⋊C4—38no—
474C4⋊C4—38no—
475C4⋊C4—38no—
476C4⋊C4C22×C5×D314yes—
477C4⋊C4C22×C5×D312yes—
478C4⋊C4C22×C5×D312yes—
479C4⋊C4C22×C5×D314yes—
480C4⋊C4C22×C5×D318yes—
481C22⋊C4—34no—
482C22⋊C4—34no—
483C22⋊C4—34no—
484C22⋊C4C22×C5×D314yes—
485C42—34no—
486C42—34no—
487C42—34no—
488C42C22×C5×D314yes—
489C3×C5C2×#54411yescharacteristic, complemented, Hall
490C22×C3—21no—
491C22×C3—21no—
492C22×C3C22×C5×Q812yes—
493C22×C3C25×C511yescharacteristic
494C2×D3—21no—
495C2×D3—21no—
496C2×D3—28no—
497C2×D3C22×C5×Q812yes—
498C2×D3C22×C5×Q812yes—
499C2×D3C5×H(5,𝔽2)12yes—
500C2×D3C5×2−1+412yes—
501C3×C4—24no—
502C3×C4—24no—
503C3×C4—24no—
504C3×C4C22×C5×Q814yes—
505Dic3—24no—
506Dic3—24no—
507Dic3—24no—
508Dic3C22×C5×Q814yes—
509C2×C5—22no—
510C2×C5—34no—
511C2×C5—62no—
512C2×C5C22×D3×Q811yescharacteristic
513C2×C5D3×H(5,𝔽2)11yescharacteristic
514C2×C5D3×2−1+411yescharacteristic
515C23—31no—
516C23—34no—
517C23—31no—
518C23—62no—
519C23—62no—
520C23C23×C5×D311yescharacteristic
521Q8—44no—
522Q8—124no—
523Q8—128no—
524C2×C4—34no—
525C2×C4—32no—
526C2×C4—38no—
527C2×C4—38no—
528C2×C4—34no—
529C2×C4—34no—
530C2×C4—34no—
531C2×C4—42no—
532C2×C4—68no—
533C2×C4—68no—
534C2×C4—68no—
535C2×C4—124no—
536C2×C4—122no—
537C2×C4C5×D3×Q814yescomplemented
538C2×C4C23×C5×D314yes—
539C2×C4C23×C5×D314yes—
540C2×C4C23×C5×D314yes—
541C2×C4C23×C5×D312yes—
542C2×C3—22no—
543C2×C3C23×C5×Q811yescharacteristic
544C2×C3C2×C5×H(5,𝔽2)11yescharacteristic
545C2×C3C2×C5×2−1+411yescharacteristic
546D3—22no—
547D3C5×#54414yesdirect product factor
548C5D3×#54411yescharacteristic, direct product factor, Sylow
549C22—21no—
550C22—21no—
551C22—32no—
552C22—32no—
553C22—32no—
554C22—32no—
555C22—68no—
556C22—61no—
557C22—61no—
558C22C2×C5×D3×Q812yes—
559C22C24×C5×D311yescharacteristic
560C4—24no—
561C4—24no—
562C4—24no—
563C4—34no—
564C4—64no—
565C4—64no—
566C4—64no—
567C4C2×C5×D3×Q814yes—
568C3C2×C5×#54411yescharacteristic, complemented, Sylow
569C2—22no—
570C2—34no—
571C2—62no—
572C2C22×C5×D3×Q811yescharacteristic
573C2C5×D3×H(5,𝔽2)11yescharacteristic
574C2C5×D3×2−1+411yescharacteristic
subgroupG/H
centerC22×C5C24×D3
commutator, cosocleC22×C3C25×C5
FrattiniC22C24×C5×D3
FittingC3×C5×#544C2
socleC22×C3×C5C25
prime radicalC23×C5×D3C23
hypercenterC5×#544D3
hypocenterC3C2×C5×#544
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C5 ◁ C5×#544

Complements

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

NH ≅ G/Ntype
1. C3×C5×#544C2semidirect
2. C5×#5729C2semidirect
3. C5×D3×C4⋊Q8C2semidirect
4. C5×#5689C2semidirect
5. C5×D3×#125C2semidirect
7. C5×#5623C2semidirect
9. C5×#5519C2semidirect
11. C5×#5500C2semidirect
16. C3×C5×C4⋊Q8C22semidirect
17. C3×C5×#125C22semidirect
22. C5×#944C22semidirect
37. C5×#890C22semidirect
38. C5×#890C22semidirect
39. C5×#889C22semidirect
40. C5×#889C22semidirect
41. C5×#888C22semidirect
42. C5×#888C22semidirect
43. C5×#888C22semidirect
49. C5×#870C22semidirect
50. C5×#869C22semidirect
51. D3×#544C5direct (N × H)
57. C5×#544D3direct (N × H)
71. C2×C4×C5×D3Q8semidirect
104. C3×#544C2×C5semidirect
105. #5729C2×C5semidirect
106. D3×C4⋊Q8C2×C5semidirect
107. #5689C2×C5semidirect
108. D3×#125C2×C5semidirect
110. #5623C2×C5semidirect
112. #5519C2×C5semidirect
114. #5500C2×C5semidirect
123. C5×C4⋊Q8C2×D3semidirect
129. C5×#125C2×D3semidirect
162. C2×C3×C4×C5C2×Q8semidirect
168. C2×C5×Dic3C2×Q8semidirect
178. C4×C5×D3C2×Q8semidirect
184. C3×C4⋊Q8C22×C5semidirect
185. C3×#125C22×C5semidirect
190. #944C22×C5semidirect
205. #890C22×C5semidirect
206. #890C22×C5semidirect
207. #889C22×C5semidirect
208. #889C22×C5semidirect
209. #888C22×C5semidirect
210. #888C22×C5semidirect
211. #888C22×C5semidirect
217. #870C22×C5semidirect
218. #869C22×C5semidirect
265. #544C5×D3direct (N × H)
298. C2×C4×D3C5×Q8semidirect
353. C2×C4×C5D3×Q8semidirect
366. C4⋊Q8C2×C5×D3semidirect
372. #125C2×C5×D3semidirect
401. C5×D3#544direct (N × H)
410. C2×C3×C4C2×C5×Q8semidirect
416. C2×Dic3C2×C5×Q8semidirect
426. C4×D3C2×C5×Q8semidirect
489. C3×C5C2×#544semidirect
537. C2×C4C5×D3×Q8semidirect
547. D3C5×#544direct (N × H)
548. C5D3×#544direct (N × H)
568. C3C2×C5×#544semidirect

Maximal subgroups

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

subgroupindex
C3×C5×#5442
C5×#57292
C5×D3×C4⋊Q82
C5×#56892
C5×D3×#1252
C5×D3×C22⋊Q82
C5×#56232
C5×D3×#1172
C5×#55192
C2×C5×D3×C4⋊C42
C5×#55002
C2×C5×#5443
D3×#5445