Finite Group Databasebeta

← C2×#11752518 #14479103

Subgroups — C2×#11752518 #14479103

Order 1920.

3280 conjugacy classes of subgroups.

The subgroup lattice has 616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6765C211yesmaximal, characteristic
2C2×C4×Dic30C211yesmaximal, characteristic, complemented
3C2×C5×#872C211yesmaximal, characteristic, complemented
4C2×C3×C4×D20C211yesmaximal, characteristic, complemented
5C2×#91442C212yesmaximal, complemented
6C2×#91440C212yesmaximal, complemented
7C2×D3×C4⋊Dic5C211yesmaximal, characteristic, complemented
8C2×Dic3×D20C211yesmaximal, characteristic, complemented
9C2×#91394C212yesmaximal, complemented
10C2×D5×Dic3⋊C4C212yesmaximal, complemented
11C2×#91340C211yesmaximal, characteristic, complemented
12#11752518C2116yesmaximal, direct product factor
13C2×#65857—31nomaximal, Hall
14C22×Dic30C2211yescharacteristic
15C22×C4×C5×D3C2211yescharacteristic
16C22×C3×D20C2211yescharacteristic
17C22×C3×C4×D5C2212yes—
18C22×#1201C2212yes—
19C22×D3×Dic5C2212yes—
20C22×D5×Dic3C2212yes—
21C22×D5×Dic3C2212yes—
22C2×#6765C4116yescomplemented
23C2×#6765C2218yes—
24C2×C3×C42×C5C2211yescharacteristic
25C2×C4⋊Dic15C2211yescharacteristic
26C2×#6712C2212yes—
27C2×C4×Dic15C2212yes—
28C4×Dic30C2218yescomplemented
29C2×C5×(C2×D3)⋊C4C2211yescharacteristic
30C2×C5×(C2×D3)⋊C4C2211yescharacteristic
31C2×C5×Dic3⋊C4C2211yescharacteristic
32C2×C5×Dic3⋊C4C2211yescharacteristic
33C2×C4×C5×Dic3C2211yescharacteristic
34C5×#872C2218yescomplemented
35C2×C3×#685C2212yes—
36C2×C3×C4⋊Dic5C2211yescharacteristic
37C3×C4×D20C2218yescomplemented
38C2×Dic3⋊Dic5C2212yes—
39C2×#6669C2212yes—
40C2×#6665C2212yes—
41C2×Dic3×Dic5C2212yes—
42#91442C22116yescomplemented
43#91440C22116yescomplemented
44D3×C4⋊Dic5C2218yescomplemented
45Dic3×D20C2218yescomplemented
46#91394C22116yescomplemented
47D5×Dic3⋊C4C22116yescomplemented
48#91340C2218yescomplemented
49C2×#5546—51nomaximal, Hall
50C22×#709—31no—
51C2×C5×#117—31no—
52C22×C4⋊Dic5—31no—
53#65857—316no—
54C2×#4038—32no—
55C2×D5×C4⋊C4—32no—
56C2×#4027—32no—
57C2×#4027—32no—
58C2×C4×D20—31no—
59C2×C4×D20D311yescharacteristic, complemented
60C2×C4×Dic10—31no—
61C2×C4×Dic10—31no—
62C23×C5×D3C2311yescharacteristic
63C23×C3×D5C2312yes—
64C22×C3×C4×C5C2311yescharacteristic
65C22×C3×C4×C5C2311yescharacteristic
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15C2312yes—
68C22×Dic15C2312yes—
69C2×Dic30C2×C418yescomplemented
70C2×Dic30C2314yes—
71C22×C5×Dic3C2311yescharacteristic
72C22×C5×Dic3C2311yescharacteristic
73C22×C5×Dic3C2311yescharacteristic
74C2×C4×C5×D3C2×C418yescomplemented
75C2×C4×C5×D3C2314yes—
76C22×C3×Dic5C2312yes—
77C2×C3×D20C2×C418yescomplemented
78C2×C3×D20C2314yes—
79C2×C3×C4×D5—44no—
80C2×C3×C4×D5C2318yes—
81C2×#1201C2×C4116yescomplemented
82C2×#1201C2318yes—
83C2×D3×Dic5—44no—
84C2×D3×Dic5C2318yes—
85C2×D5×Dic3—44no—
86C2×D5×Dic3C2×C4116yescomplemented
87C2×D5×Dic3C2318yes—
88C2×D5×Dic3C2318yes—
89#6765C2×C4164yescomplemented
90C3×C42×C5C2314yes—
91C4⋊Dic15C2314yes—
92#6712C2318yes—
93C4×Dic15C2318yes—
94C5×(C2×D3)⋊C4C2314yes—
95C5×(C2×D3)⋊C4C2314yes—
96C5×Dic3⋊C4C2314yes—
97C5×Dic3⋊C4C2314yes—
98C4×C5×Dic3C2314yes—
99C3×#685C2318yes—
100C3×C4⋊Dic5C2314yes—
101Dic3⋊Dic5C2318yes—
102#6669C2318yes—
103#6665C2318yes—
104Dic3×Dic5C2318yes—
105C22×#237—51no—
106C2×C3×C4×D4—51no—
107C2×D4×Dic3—51no—
108C2×C4×#67—52no—
109C22×Dic3⋊C4—52no—
110#5546—516no—
111C2×D3×C4⋊C4—51no—
112C2×#887—51no—
113C2×#67⋊C4—52no—
114C2×#877—52no—
115C2×#872D511yescharacteristic, complemented
116C2×C4×Dic6—51no—
117C23×C4×C5—31no—
118C22×C22⋊D5—32no—
119C23×Dic5—32no—
120C2×#709—316no—
121C2×#709—38no—
122C22×D20C2×D311yescharacteristic
123C22×C4×D5—32no—
124C22×C4×D5—32no—
125C22×C4×D5C2×D312yes—
126C22×Dic10—31no—
127C5×#117—38no—
128C2×C5×C4⋊C4—31no—
129C2×C5×C4⋊C4—31no—
130C2×C5×C22⋊C4—31no—
131C2×C5×C22⋊C4—31no—
132C2×C42×C5—31no—
133C2×C42×C5C2×D311yescharacteristic
134C2×#685—32no—
135C2×#685C2×D312yes—
136C2×C4⋊Dic5—31no—
137C2×C4⋊Dic5—32no—
138C2×C4⋊Dic5—38no—
139C2×C4⋊Dic5C2×D311yescharacteristic
140C2×#683—32no—
141C2×#683—32no—
142C2×C4×Dic5—32no—
143C2×C4×Dic5—32no—
144#4038—316no—
145D5×C4⋊C4—316no—
146#4027—316no—
147#4027—316no—
148C4×D20—38no—
149C4×D20C2×D318yescomplemented
150C4×Dic10—38no—
151C4×Dic10—38no—
152C2×#520—151noSylow
153C23×C3×C5C2411yescharacteristic
154C22×C5×D3—22no—
155C22×C5×D3—22no—
156C22×C5×D3C22×C414yes—
157C22×C5×D3C2412yes—
158C22×C3×D5—24no—
159C22×C3×D5—24no—
160C22×C3×D5C22×C418yes—
161C22×C3×D5C2414yes—
162C2×C3×C4×C5—22no—
163C2×C3×C4×C5—22no—
164C2×C3×C4×C5C22×C414yes—
165C2×C3×C4×C5C2412yes—
166C2×C3×C4×C5C2412yes—
167C2×C3×C4×C5C2412yes—
168C2×Dic15—24no—
169C2×Dic15C22×C418yes—
170C2×Dic15C2414yes—
171C2×Dic15C2414yes—
172Dic30C22×C4116yescomplemented
173C2×C5×Dic3—22no—
174C2×C5×Dic3—22no—
175C2×C5×Dic3C22×C414yes—
176C2×C5×Dic3C2412yes—
177C2×C5×Dic3C2412yes—
178C2×C5×Dic3C2412yes—
179C4×C5×D3C22×C4116yescomplemented
180C2×C3×Dic5—24no—
181C2×C3×Dic5C2414yes—
182C3×D20C22×C4116yescomplemented
183C3×C4×D5—48no—
184#1201C22×C4132yescomplemented
185D3×Dic5—48no—
186D5×Dic3—48no—
187D5×Dic3C22×C4132yescomplemented
188C22×C3×D4—51no—
189C23×C3×C4—52no—
190C22×#67—52no—
191C23×Dic3—52no—
192C23×Dic3—52no—
193C2×#237—516no—
194C2×#237—58no—
195C22×C4×D3—52no—
196C22×C4×D3C2×D511yescharacteristic
197C22×Dic6—51no—
198C3×C4×D4—58no—
199C2×C3×C4⋊C4—51no—
200C2×C3×C22⋊C4—52no—
201C2×C3×C42C2×D511yescharacteristic
202C2×#217—52no—
203D4×Dic3—58no—
204C4×#67—516no—
205C2×(C2×D3)⋊C4C2×D511yescharacteristic
206C2×(C2×D3)⋊C4C2×D511yescharacteristic
207C2×C4⋊Dic3—51no—
208C2×Dic3⋊C4—52no—
209C2×Dic3⋊C4—52no—
210C2×Dic3⋊C4—52no—
211C2×Dic3⋊C4—516no—
212C2×Dic3⋊C4C2×D511yescharacteristic
213C2×Dic3⋊C4C2×D511yescharacteristic
214C2×C4×Dic3—52no—
215C2×C4×Dic3—52no—
216C2×C4×Dic3C2×D511yescharacteristic
217D3×C4⋊C4—58no—
218#887—58no—
219#67⋊C4—516no—
220#877—516no—
221#872C2×D518yescomplemented
222C4×Dic6—58no—
223C24×C5—31no—
224C23×D5C22×D312yes—
225C22×C4×C5—31no—
226C22×C4×C5—38no—
227C22×C4×C5—34no—
228C22×C4×C5—31no—
229C22×C4×C5—31no—
230C22×C4×C5C22×D311yescharacteristic
231C22×C4×C5C22×D311yescharacteristic
232C22×C4×C5C22×D311yescharacteristic
233C2×C22⋊D5—316no—
234C2×C22⋊D5—38no—
235C22×Dic5—32no—
236C22×Dic5—32no—
237C22×Dic5—38no—
238C22×Dic5—124no—
239C22×Dic5C22×D312yes—
240#709—364no—
241C2×D20C4×D318yescomplemented
242C2×D20C22×D314yes—
243C2×C4×D5—316no—
244C2×C4×D5—38no—
245C2×C4×D5—38no—
246C2×C4×D5—44no—
247C2×C4×D5—124no—
248C2×C4×D5C22×D318yes—
249C2×Dic10—38no—
250C2×Dic10—34no—
251C5×C4⋊C4—34no—
252C5×C4⋊C4—34no—
253C5×C22⋊C4—34no—
254C5×C22⋊C4—34no—
255C42×C5—34no—
256C42×C5C22×D314yes—
257#685—38no—
258#685C22×D318yes—
259C4⋊Dic5—34no—
260C4⋊Dic5—38no—
261C4⋊Dic5C22×D314yes—
262#683—38no—
263#683—38no—
264C4×Dic5—38no—
265C4×Dic5—38no—
266C22×#41—151no—
267#520—1516no—
268C2×C4×Q8—151no—
269C2×C4×Q8—151no—
270C2×C4×D4—51no—
271C2×C4×D4—151no—
272C2×C4×D4—152no—
273C2×C4×D4—152no—
274C2×#117—31no—
275C2×#117—152no—
276C22×C4⋊C4—152no—
277C22×C4⋊C4—151no—
278C22×C3×C5C23×C412yes—
279C22×C3×C5H(5,𝔽2)12yes—
280C22×C3×C52−1+412yes—
281C22×C3×C5C2511yescharacteristic
282C2×C5×D3—28no—
283C2×C5×D3—22no—
284C2×C5×D3—22no—
285C2×C5×D3C23×C414yes—
286C2×C3×D5—216no—
287C2×C3×D5—24no—
288C2×C3×D5—24no—
289C2×C3×D5C23×C418yes—
290C3×C4×C5—22no—
291C3×C4×C5—22no—
292C3×C4×C5C23×C414yes—
293Dic15—24no—
294Dic15C23×C418yes—
295C3×Dic5—24no—
296C5×Dic3—22no—
297C5×Dic3—22no—
298C5×Dic3C23×C414yes—
299C24×C3—52no—
300C23×D3C22×D511yescharacteristic
301C2×C3×D4—58no—
302C2×C3×D4—54no—
303C22×C3×C4—52no—
304C22×C3×C4—58no—
305C22×C3×C4—204no—
306C22×C3×C4C22×D511yescharacteristic
307C22×C3×C4C22×D511yescharacteristic
308C22×C3×C4C22×D511yescharacteristic
309C2×#67—516no—
310C2×#67—58no—
311C22×Dic3—52no—
312C22×Dic3—516no—
313C22×Dic3—58no—
314C22×Dic3—52no—
315C22×Dic3—58no—
316C22×Dic3—204no—
317C22×Dic3C22×D511yescharacteristic
318C22×Dic3C22×D511yescharacteristic
319C22×Dic3C22×D511yescharacteristic
320#237—564no—
321C2×C4×D3—58no—
322C2×C4×D3—204no—
323C2×C4×D3C4×D518yescomplemented
324C2×C4×D3C22×D514yes—
325C2×Dic6—58no—
326C2×Dic6—54no—
327C3×C4⋊C4—54no—
328C3×C22⋊C4—58no—
329C3×C42C22×D514yes—
330#217—58no—
331(C2×D3)⋊C4C22×D514yes—
332(C2×D3)⋊C4C22×D514yes—
333C4⋊Dic3—54no—
334Dic3⋊C4—58no—
335Dic3⋊C4—58no—
336Dic3⋊C4—58no—
337Dic3⋊C4C22×D514yes—
338Dic3⋊C4C22×D514yes—
339C4×Dic3—58no—
340C4×Dic3—58no—
341C4×Dic3C22×D514yes—
342C23×C5—34no—
343C23×C5—32no—
344C23×C5—62no—
345C23×C5—62no—
346C23×C5C23×D311yescharacteristic
347C22×D5—24no—
348C22×D5—24no—
349C22×D5C2×C4×D318yes—
350C22×D5C23×D314yes—
351C2×C4×C5—22no—
352C2×C4×C5—22no—
353C2×C4×C5—34no—
354C2×C4×C5—32no—
355C2×C4×C5—316no—
356C2×C4×C5—32no—
357C2×C4×C5—32no—
358C2×C4×C5—62no—
359C2×C4×C5—62no—
360C2×C4×C5C2×C4×D314yes—
361C2×C4×C5C23×D312yes—
362C2×C4×C5C23×D312yes—
363C2×C4×C5C23×D312yes—
364C22⋊D5—332no—
365C2×Dic5—24no—
366C2×Dic5—38no—
367C2×Dic5—34no—
368C2×Dic5—34no—
369C2×Dic5—64no—
370C2×Dic5—128no—
371C2×Dic5C23×D314yes—
372D20C2×C4×D3116yescomplemented
373C4×D5—332no—
374C4×D5—48no—
375C4×D5—128no—
376Dic10—316no—
377C2×#41—158no—
378C2×#41—1516no—
379C22×Q8—151no—
380C22×D4—51no—
381C22×D4—152no—
382C23×C4—31no—
383C23×C4—52no—
384C23×C4—152no—
385C23×C4—152no—
386C23×C4—152no—
387C4×Q8—158no—
388C4×Q8—158no—
389C4×D4—58no—
390C4×D4—158no—
391C4×D4—1516no—
392C4×D4—1516no—
393#117—38no—
394#117—1516no—
395C2×C4⋊C4—31no—
396C2×C4⋊C4—31no—
397C2×C4⋊C4—51no—
398C2×C4⋊C4—1516no—
399C2×C4⋊C4—158no—
400C2×C4⋊C4—152no—
401C2×C4⋊C4—152no—
402C2×C4⋊C4—152no—
403C2×C4⋊C4—151no—
404C2×C22⋊C4—31no—
405C2×C22⋊C4—31no—
406C2×C22⋊C4—52no—
407C2×C22⋊C4—152no—
408C2×C42—31no—
409C2×C42—152no—
410C2×C42—152no—
411C2×C42D3×D511yescharacteristic
412C2×C3×C5#52014yescomplemented
413C2×C3×C5C24×C411yescharacteristic
414C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
415C2×C3×C5C2×2−1+411yescharacteristic
416C3×D5—28no—
417C5×D3—24no—
418C23×C3—58no—
419C23×C3—54no—
420C23×C3—104no—
421C23×C3—104no—
422C23×C3C23×D511yescharacteristic
423C22×D3—22no—
424C22×D3—22no—
425C22×D3C2×C4×D514yes—
426C22×D3C23×D512yes—
427C3×D4—516no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—54no—
431C2×C3×C4—104no—
432C2×C3×C4—208no—
433C2×C3×C4C2×C4×D514yes—
434C2×C3×C4C23×D512yes—
435C2×C3×C4C23×D512yes—
436C2×C3×C4C23×D512yes—
437#67—532no—
438C2×Dic3—22no—
439C2×Dic3—22no—
440C2×Dic3—58no—
441C2×Dic3—54no—
442C2×Dic3—532no—
443C2×Dic3—54no—
444C2×Dic3—104no—
445C2×Dic3—208no—
446C2×Dic3C2×C4×D514yes—
447C2×Dic3C23×D512yes—
448C2×Dic3C23×D512yes—
449C2×Dic3C23×D512yes—
450C4×D3—208no—
451C4×D3C2×C4×D5116yescomplemented
452Dic6—516no—
453C22×C5—34no—
454C22×C5—62no—
455C22×C5—62no—
456C22×C5—68no—
457C22×C5C22×C4×D312yes—
458C22×C5#100412yes—
459C22×C5#101012yes—
460C22×C5C24×D311yescharacteristic
461C2×D5—24no—
462C2×D5—24no—
463C2×D5—216no—
464C2×D5C22×C4×D318yes—
465C4×C5—22no—
466C4×C5—22no—
467C4×C5—34no—
468C4×C5—62no—
469C4×C5—62no—
470C4×C5C22×C4×D314yes—
471Dic5—24no—
472Dic5—38no—
473Dic5—64no—
474C24—31no—
475C24—52no—
476#41—1564no—
477C2×Q8—158no—
478C2×Q8—154no—
479C2×D4—58no—
480C2×D4—54no—
481C2×D4—158no—
482C2×D4—1516no—
483C22×C4—31no—
484C22×C4—38no—
485C22×C4—34no—
486C22×C4—31no—
487C22×C4—31no—
488C22×C4—52no—
489C22×C4—58no—
490C22×C4—158no—
491C22×C4—1516no—
492C22×C4—158no—
493C22×C4—158no—
494C22×C4—152no—
495C22×C4—152no—
496C22×C4—204no—
497C22×C4—604no—
498C22×C4—604no—
499C22×C4C2×D3×D511yescharacteristic
500C22×C4C2×D3×D511yescharacteristic
501C22×C4C2×D3×D511yescharacteristic
502C4⋊C4—34no—
503C4⋊C4—34no—
504C4⋊C4—54no—
505C4⋊C4—158no—
506C4⋊C4—158no—
507C4⋊C4—158no—
508C4⋊C4—154no—
509C22⋊C4—34no—
510C22⋊C4—34no—
511C22⋊C4—58no—
512C22⋊C4—158no—
513C42—34no—
514C42—158no—
515C42—158no—
516C42C2×D3×D514yes—
517C3×C5C2×#52011yescharacteristic, complemented, Hall
518C22×C3—58no—
519C22×C3—1016no—
520C22×C3—104no—
521C22×C3—104no—
522C22×C3C22×C4×D512yes—
523C22×C3#414912yes—
524C22×C3#415012yes—
525C22×C3C24×D511yescharacteristic
526C2×D3—28no—
527C2×D3—22no—
528C2×D3—22no—
529C2×D3C22×C4×D514yes—
530C3×C4—22no—
531C3×C4—22no—
532C3×C4—104no—
533C3×C4C22×C4×D514yes—
534Dic3—22no—
535Dic3—22no—
536Dic3—58no—
537Dic3—104no—
538Dic3C22×C4×D514yes—
539C2×C5—64no—
540C2×C5#554614yescomplemented
541C2×C5C23×C4×D311yescharacteristic
542C2×C5C2×#100411yescharacteristic
543C2×C5C2×#101011yescharacteristic
544D5—28no—
545C23—34no—
546C23—32no—
547C23—58no—
548C23—54no—
549C23—62no—
550C23—62no—
551C23—104no—
552C23—104no—
553C23C22×D3×D511yescharacteristic
554Q8—1516no—
555D4—516no—
556D4—1532no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—34no—
560C2×C4—32no—
561C2×C4—316no—
562C2×C4—32no—
563C2×C4—32no—
564C2×C4—54no—
565C2×C4—62no—
566C2×C4—62no—
567C2×C4—104no—
568C2×C4—1532no—
569C2×C4—158no—
570C2×C4—154no—
571C2×C4—154no—
572C2×C4—208no—
573C2×C4—304no—
574C2×C4—608no—
575C2×C4—608no—
576C2×C4C4×D3×D514yes—
577C2×C4C22×D3×D512yes—
578C2×C4C22×D3×D512yes—
579C2×C4C22×D3×D512yes—
580C2×C3—108no—
581C2×C3#6585714yescomplemented
582C2×C3C23×C4×D511yescharacteristic
583C2×C3C2×#414911yescharacteristic
584C2×C3C2×#415011yescharacteristic
585D3—24no—
586C5C2×#554611yescharacteristic, complemented, Sylow
587C22—34no—
588C22—58no—
589C22—68no—
590C22—62no—
591C22—62no—
592C22—1016no—
593C22—104no—
594C22—104no—
595C22#9200112yes—
596C22C2×C4×D3×D512yes—
597C22#9201712yes—
598C22C23×D3×D511yescharacteristic
599C4—22no—
600C4—22no—
601C4—34no—
602C4—62no—
603C4—62no—
604C4—104no—
605C4—158no—
606C4—304no—
607C4C2×C4×D3×D514yes—
608C3C2×#6585711yescharacteristic, complemented, Sylow
609C2—64no—
610C2—108no—
611C2#1175251814yesdirect product factor
612C2C2×#9200111yescharacteristic
613C2C22×C4×D3×D511yescharacteristic
614C2C2×#9201711yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutatorC2×C3×C5C24×C4
FrattiniC22C23×D3×D5
FittingC2×C3×C42×C5C22
socleC23×C3×C5C24
prime radicalC22×#6765C2
cosocleC22×C3×C5C25
hypercenterC2×C42D3×D5
hypocenterC3×C5C2×#520
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C4×Dic30C2semidirect
3. C2×C5×#872C2semidirect
4. C2×C3×C4×D20C2semidirect
5. C2×#91442C2semidirect
6. C2×#91440C2semidirect
7. C2×D3×C4⋊Dic5C2semidirect
8. C2×Dic3×D20C2semidirect
9. C2×#91394C2semidirect
10. C2×D5×Dic3⋊C4C2semidirect
11. C2×#91340C2semidirect
12. #11752518C2direct (N × H)
22. C2×#6765C4semidirect
28. C4×Dic30C22semidirect
34. C5×#872C22semidirect
37. C3×C4×D20C22semidirect
42. #91442C22semidirect
43. #91440C22semidirect
44. D3×C4⋊Dic5C22semidirect
45. Dic3×D20C22semidirect
46. #91394C22semidirect
47. D5×Dic3⋊C4C22semidirect
48. #91340C22semidirect
59. C2×C4×D20D3semidirect
69. C2×Dic30C2×C4semidirect
74. C2×C4×C5×D3C2×C4semidirect
77. C2×C3×D20C2×C4semidirect
81. C2×#1201C2×C4semidirect
86. C2×D5×Dic3C2×C4semidirect
89. #6765C2×C4semidirect
115. C2×#872D5semidirect
149. C4×D20C2×D3semidirect
172. Dic30C22×C4semidirect
179. C4×C5×D3C22×C4semidirect
182. C3×D20C22×C4semidirect
184. #1201C22×C4semidirect
187. D5×Dic3C22×C4semidirect
221. #872C2×D5semidirect
241. C2×D20C4×D3semidirect
323. C2×C4×D3C4×D5semidirect
372. D20C2×C4×D3semidirect
412. C2×C3×C5#520semidirect
451. C4×D3C2×C4×D5semidirect
517. C3×C5C2×#520semidirect
540. C2×C5#5546semidirect
581. C2×C3#65857semidirect
586. C5C2×#5546semidirect
608. C3C2×#65857semidirect
611. C2#11752518direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67652
C2×C4×Dic302
C2×C5×#8722
C2×C3×C4×D202
C2×#914422
C2×#914402
C2×D3×C4⋊Dic52
C2×Dic3×D202
C2×#913942
C2×D5×Dic3⋊C42
C2×#913402
#117525182
C2×#658573
C2×#55465