Finite Group Databasebeta

← C2×#11754920 #14479084

Subgroups — C2×#11754920 #14479084

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×C5×#237C211yesmaximal, characteristic
2C2×D4×Dic15C211yesmaximal, characteristic, complemented
3C2×C3×D4×Dic5C211yesmaximal, characteristic, complemented
4C2×#67⋊Dic5C212yesmaximal, complemented
5C2×Dic5×#67C212yesmaximal, complemented
6C22×Dic3⋊Dic5C212yesmaximal, complemented
7C2×#91529C212yesmaximal, complemented
8#11754920C2116yesmaximal, direct product factor
9C2×D3×C4⋊Dic5C211yesmaximal, characteristic, complemented
10C2×#91371C211yesmaximal, characteristic, complemented
11C2×#91344C211yesmaximal, characteristic, complemented
12C2×Dic5×Dic6C211yesmaximal, characteristic, complemented
13C2×#66161—31nomaximal, Hall
14C22×C3×C5×D4C2211yescharacteristic
15C23×Dic15C2212yes—
16C22×C5×#67C2212yes—
17C23×C5×Dic3C2212yes—
18C2×C5×#237C4116yescomplemented
19C2×C5×#237C2218yes—
20C22×C4×C5×D3C2211yescharacteristic
21C22×C5×Dic6C2211yescharacteristic
22C23×C3×Dic5C2212yes—
23C22×D3×Dic5C2212yes—
24C2×#6719C2212yes—
25D4×Dic15C2218yescomplemented
26C2×C4⋊Dic15C2211yescharacteristic
27C2×C4×Dic15C2211yescharacteristic
28C2×C3×C22⋊Dic5C2212yes—
29C3×D4×Dic5C2218yescomplemented
30C2×C3×C4⋊Dic5C2211yescharacteristic
31C2×C3×C4×Dic5C2211yescharacteristic
32#67⋊Dic5C22116yescomplemented
33Dic5×#67C22116yescomplemented
34C2×Dic3⋊Dic5C2211yescharacteristic
35C2×Dic3⋊Dic5C2211yescharacteristic
36C2×Dic3⋊Dic5C2212yes—
37C2×Dic3⋊Dic5C2212yes—
38C2×Dic3⋊Dic5C2212yes—
39C2×Dic3⋊Dic5C22116yescomplemented
40C2×(C2×D3)⋊Dic5C2211yescharacteristic
41C2×(C2×D3)⋊Dic5C2211yescharacteristic
42#91529C22116yescomplemented
43C2×Dic3×Dic5C2212yes—
44C2×Dic3×Dic5C2212yes—
45D3×C4⋊Dic5C2218yescomplemented
46#91371C2218yescomplemented
47#91344C2218yescomplemented
48Dic5×Dic6C2218yescomplemented
49C2×#5546—51nomaximal, Hall
50C22×C5×#41—31no—
51#66161—316no—
52C2×Q8×Dic5—31no—
53C2×Q8×Dic5—31no—
54C2×D4×Dic5—31no—
55C2×D4×Dic5—32no—
56C2×D4×Dic5—32no—
57C2×D4×Dic5D311yescharacteristic, complemented
58C2×#4072—31no—
59C2×#4072—32no—
60C22×C4⋊Dic5—31no—
61C22×C4⋊Dic5—32no—
62C24×C3×C5C2312yes—
63C23×C5×D3C2311yescharacteristic
64C2×C3×C5×D4C2×C418yescomplemented
65C2×C3×C5×D4C2314yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15—44no—
68C22×Dic15C2311yescharacteristic
69C22×Dic15C2312yes—
70C22×Dic15C2311yescharacteristic
71C22×Dic15C2318yes—
72C2×C5×#67C2×C4116yescomplemented
73C2×C5×#67C2318yes—
74C22×C5×Dic3C2×C4116yescomplemented
75C22×C5×Dic3C2312yes—
76C22×C5×Dic3C2311yescharacteristic
77C22×C5×Dic3C2318yes—
78C5×#237C2×C4164yescomplemented
79C2×C4×C5×D3C2×C418yescomplemented
80C2×C4×C5×D3C2314yes—
81C2×C5×Dic6C2×C418yescomplemented
82C2×C5×Dic6C2314yes—
83C22×C3×Dic5—44no—
84C22×C3×Dic5C2311yescharacteristic
85C22×C3×Dic5C2312yes—
86C22×C3×Dic5C2311yescharacteristic
87C22×C3×Dic5C2318yes—
88C2×D3×Dic5—44no—
89C2×D3×Dic5C2318yes—
90#6719C2318yes—
91C4⋊Dic15C2314yes—
92C4×Dic15C2314yes—
93C3×C22⋊Dic5C2318yes—
94C3×C4⋊Dic5C2314yes—
95C3×C4×Dic5C2314yes—
96Dic3⋊Dic5C2318yes—
97Dic3⋊Dic5C2314yes—
98Dic3⋊Dic5C2314yes—
99Dic3⋊Dic5C2318yes—
100Dic3⋊Dic5C2318yes—
101(C2×D3)⋊Dic5C2314yes—
102(C2×D3)⋊Dic5C2314yes—
103Dic3×Dic5C2318yes—
104Dic3×Dic5C2318yes—
105C22×#237D511yescharacteristic
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×#872—51no—
116C2×C4×Dic6—51no—
117C2×C5×#41—316no—
118C2×C5×#41—38no—
119C22×C5×Q8—31no—
120C22×C5×D4—32no—
121C22×C5×D4C2×D311yescharacteristic
122C23×C4×C5—32no—
123C23×C4×C5—31no—
124C23×Dic5—32no—
125C23×Dic5—32no—
126C23×Dic5C2×D312yes—
127C2×C22⋊Dic5—32no—
128C2×C22⋊Dic5—31no—
129C2×C22⋊Dic5—31no—
130C2×C22⋊Dic5C2×D312yes—
131Q8×Dic5—38no—
132Q8×Dic5—38no—
133D4×Dic5—38no—
134D4×Dic5—316no—
135D4×Dic5—316no—
136D4×Dic5C2×D318yescomplemented
137#4072—316no—
138#4072—38no—
139C2×C4⋊Dic5—31no—
140C2×C4⋊Dic5—31no—
141C2×C4⋊Dic5—32no—
142C2×C4⋊Dic5—32no—
143C2×C4⋊Dic5—32no—
144C2×C4⋊Dic5—316no—
145C2×C4⋊Dic5—31no—
146C2×C4⋊Dic5—38no—
147C2×C4⋊Dic5C2×D311yescharacteristic
148C2×C4×Dic5—31no—
149C2×C4×Dic5—32no—
150C2×C4×Dic5—32no—
151C2×C4×Dic5C2×D311yescharacteristic
152C2×#520—151noSylow
153C23×C3×C5—24no—
154C23×C3×C5—24no—
155C23×C3×C5C22×C418yes—
156C23×C3×C5C2414yes—
157C23×C3×C5C2411yescharacteristic
158C22×C5×D3—22no—
159C22×C5×D3—22no—
160C22×C5×D3C22×C414yes—
161C22×C5×D3C2412yes—
162C3×C5×D4C22×C4116yescomplemented
163C2×C3×C4×C5C22×C414yes—
164C2×C3×C4×C5C2412yes—
165C2×Dic15—24no—
166C2×Dic15—22no—
167C2×Dic15—22no—
168C2×Dic15—48no—
169C2×Dic15C2412yes—
170C2×Dic15C2414yes—
171C2×Dic15C2412yes—
172C5×#67C22×C4132yescomplemented
173C2×C5×Dic3C22×C418yes—
174C2×C5×Dic3C22×C414yes—
175C2×C5×Dic3C22×C4132yescomplemented
176C2×C5×Dic3C2414yes—
177C2×C5×Dic3C2412yes—
178C4×C5×D3C22×C4116yescomplemented
179C5×Dic6C22×C4116yescomplemented
180C2×C3×Dic5—24no—
181C2×C3×Dic5—22no—
182C2×C3×Dic5—22no—
183C2×C3×Dic5—48no—
184C2×C3×Dic5C2412yes—
185C2×C3×Dic5C2414yes—
186C2×C3×Dic5C2412yes—
187D3×Dic5—48no—
188C22×C3×D4C2×D511yescharacteristic
189C23×C3×C4—52no—
190C22×#67C2×D512yes—
191C23×Dic3—52no—
192C23×Dic3C2×D512yes—
193C2×#237Dic5116yescomplemented
194C2×#237C2×D518yes—
195C22×C4×D3—52no—
196C22×C4×D3C2×D511yescharacteristic
197C22×Dic6C2×D511yescharacteristic
198C3×C4×D4—58no—
199C2×C3×C4⋊C4—51no—
200C2×C3×C22⋊C4—52no—
201C2×C3×C42—51no—
202C2×#217—52no—
203D4×Dic3—58no—
204C4×#67—516no—
205C2×(C2×D3)⋊C4—51no—
206C2×(C2×D3)⋊C4—51no—
207C2×C4⋊Dic3—51no—
208C2×Dic3⋊C4—52no—
209C2×Dic3⋊C4—51no—
210C2×Dic3⋊C4—51no—
211C2×Dic3⋊C4—52no—
212C2×Dic3⋊C4—52no—
213C2×Dic3⋊C4—516no—
214C2×C4×Dic3—51no—
215C2×C4×Dic3—52no—
216C2×C4×Dic3—52no—
217D3×C4⋊C4—58no—
218#887—58no—
219#67⋊C4—516no—
220#877—516no—
221#872—58no—
222C4×Dic6—58no—
223C24×C5—31no—
224C24×C5C22×D312yes—
225C5×#41—364no—
226C2×C5×Q8—38no—
227C2×C5×Q8—34no—
228C2×C5×D4—316no—
229C2×C5×D4—38no—
230C2×C5×D4C4×D318yescomplemented
231C2×C5×D4C22×D314yes—
232C22×C4×C5—316no—
233C22×C4×C5—31no—
234C22×C4×C5—32no—
235C22×C4×C5—38no—
236C22×C4×C5—38no—
237C22×C4×C5—34no—
238C22×C4×C5C22×D311yescharacteristic
239C22×Dic5—31no—
240C22×Dic5—32no—
241C22×Dic5—31no—
242C22×Dic5—38no—
243C22×Dic5—38no—
244C22×Dic5—44no—
245C22×Dic5—124no—
246C22×Dic5—124no—
247C22×Dic5C22×D311yescharacteristic
248C22×Dic5C22×D311yescharacteristic
249C22×Dic5C22×D312yes—
250C22×Dic5C22×D318yes—
251C22⋊Dic5—38no—
252C22⋊Dic5—34no—
253C22⋊Dic5—34no—
254C22⋊Dic5C22×D318yes—
255C4⋊Dic5—34no—
256C4⋊Dic5—38no—
257C4⋊Dic5—34no—
258C4⋊Dic5—38no—
259C4⋊Dic5—38no—
260C4⋊Dic5—34no—
261C4⋊Dic5C22×D314yes—
262C4×Dic5—34no—
263C4×Dic5—38no—
264C4×Dic5—38no—
265C4×Dic5C22×D314yes—
266C22×#41—31no—
267#520—1516no—
268C2×C4×Q8—151no—
269C2×C4×Q8—151no—
270C2×C4×D4—51no—
271C2×C4×D4—152no—
272C2×C4×D4—152no—
273C2×C4×D4—151no—
274C2×#117—151no—
275C2×#117—152no—
276C22×C4⋊C4—151no—
277C22×C4⋊C4—152no—
278C22×C3×C5—216no—
279C22×C3×C5—24no—
280C22×C3×C5—24no—
281C22×C3×C5C23×C418yes—
282C22×C3×C5C23×C412yes—
283C22×C3×C5H(5,𝔽2)12yes—
284C22×C3×C52−1+412yes—
285C22×C3×C5C2511yescharacteristic
286C2×C5×D3—28no—
287C2×C5×D3—22no—
288C2×C5×D3—22no—
289C2×C5×D3C23×C414yes—
290C3×C4×C5C23×C414yes—
291Dic15—24no—
292Dic15—22no—
293Dic15—22no—
294C3×Dic5—24no—
295C3×Dic5—22no—
296C3×Dic5—22no—
297C5×Dic3C23×C418yes—
298C5×Dic3C23×C414yes—
299C24×C3C22×D512yes—
300C23×D3C22×D511yescharacteristic
301C2×C3×D4C2×Dic518yescomplemented
302C2×C3×D4C22×D514yes—
303C22×C3×C4—51no—
304C22×C3×C4—52no—
305C22×C3×C4—51no—
306C22×C3×C4—58no—
307C22×C3×C4—204no—
308C22×C3×C4C22×D511yescharacteristic
309C2×#67C2×Dic5116yescomplemented
310C2×#67C22×D518yes—
311C22×Dic3—51no—
312C22×Dic3—51no—
313C22×Dic3—52no—
314C22×Dic3—58no—
315C22×Dic3—204no—
316C22×Dic3C2×Dic5116yescomplemented
317C22×Dic3C22×D512yes—
318C22×Dic3C22×D511yescharacteristic
319C22×Dic3C22×D518yes—
320#237C2×Dic5164yescomplemented
321C2×C4×D3—58no—
322C2×C4×D3—204no—
323C2×C4×D3C2×Dic518yescomplemented
324C2×C4×D3C22×D514yes—
325C2×Dic6C2×Dic518yescomplemented
326C2×Dic6C22×D514yes—
327C3×C4⋊C4—54no—
328C3×C22⋊C4—58no—
329C3×C42—54no—
330#217—58no—
331(C2×D3)⋊C4—54no—
332(C2×D3)⋊C4—54no—
333C4⋊Dic3—54no—
334Dic3⋊C4—58no—
335Dic3⋊C4—54no—
336Dic3⋊C4—54no—
337Dic3⋊C4—58no—
338Dic3⋊C4—58no—
339C4×Dic3—54no—
340C4×Dic3—58no—
341C4×Dic3—58no—
342C23×C5—24no—
343C23×C5—24no—
344C23×C5—34no—
345C23×C5—32no—
346C23×C5—62no—
347C23×C5—62no—
348C23×C5C2×C4×D318yes—
349C23×C5C23×D314yes—
350C23×C5C23×D311yescharacteristic
351C5×Q8—316no—
352C5×D4—332no—
353C5×D4C2×C4×D3116yescomplemented
354C2×C4×C5—34no—
355C2×C4×C5—38no—
356C2×C4×C5—332no—
357C2×C4×C5—34no—
358C2×C4×C5—32no—
359C2×C4×C5—316no—
360C2×C4×C5C2×C4×D314yes—
361C2×C4×C5C23×D312yes—
362C2×Dic5—22no—
363C2×Dic5—24no—
364C2×Dic5—22no—
365C2×Dic5—32no—
366C2×Dic5—32no—
367C2×Dic5—34no—
368C2×Dic5—48no—
369C2×Dic5—64no—
370C2×Dic5—62no—
371C2×Dic5—62no—
372C2×Dic5—128no—
373C2×Dic5—128no—
374C2×Dic5C23×D312yes—
375C2×Dic5C23×D314yes—
376C2×Dic5C23×D312yes—
377C2×#41—316no—
378C2×#41—38no—
379C22×Q8—31no—
380C22×D4—32no—
381C22×D4D3×D511yescharacteristic
382C23×C4—32no—
383C23×C4—31no—
384C23×C4—52no—
385C23×C4—152no—
386C23×C4—152no—
387C4×Q8—158no—
388C4×Q8—158no—
389C4×D4—58no—
390C4×D4—1516no—
391C4×D4—1516no—
392C4×D4—158no—
393#117—158no—
394#117—1516no—
395C2×C4⋊C4—51no—
396C2×C4⋊C4—158no—
397C2×C4⋊C4—151no—
398C2×C4⋊C4—152no—
399C2×C4⋊C4—152no—
400C2×C4⋊C4—152no—
401C2×C4⋊C4—1516no—
402C2×C4⋊C4—151no—
403C2×C4⋊C4—151no—
404C2×C22⋊C4—52no—
405C2×C22⋊C4—151no—
406C2×C22⋊C4—151no—
407C2×C22⋊C4—152no—
408C2×C42—51no—
409C2×C42—152no—
410C2×C42—152no—
411C2×C42—151no—
412C2×C3×C5—28no—
413C2×C3×C5#52014yescomplemented
414C2×C3×C5C24×C411yescharacteristic
415C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
416C2×C3×C5C2×2−1+411yescharacteristic
417C5×D3—24no—
418C23×C3—24no—
419C23×C3—24no—
420C23×C3C22×Dic518yes—
421C23×C3C23×D514yes—
422C23×C3C23×D511yescharacteristic
423C22×D3—22no—
424C22×D3—22no—
425C22×D3C22×Dic514yes—
426C22×D3C23×D512yes—
427C3×D4C22×Dic5116yescomplemented
428C2×C3×C4—52no—
429C2×C3×C4—54no—
430C2×C3×C4—52no—
431C2×C3×C4—104no—
432C2×C3×C4—102no—
433C2×C3×C4—102no—
434C2×C3×C4—208no—
435C2×C3×C4C22×Dic514yes—
436C2×C3×C4C23×D512yes—
437#67C22×Dic5132yescomplemented
438C2×Dic3—52no—
439C2×Dic3—52no—
440C2×Dic3—54no—
441C2×Dic3—104no—
442C2×Dic3—102no—
443C2×Dic3—102no—
444C2×Dic3—208no—
445C2×Dic3C22×Dic518yes—
446C2×Dic3C22×Dic514yes—
447C2×Dic3C22×Dic5132yescomplemented
448C2×Dic3C23×D514yes—
449C2×Dic3C23×D512yes—
450C4×D3—208no—
451C4×D3C22×Dic5116yescomplemented
452Dic6C22×Dic5116yescomplemented
453C22×C5—24no—
454C22×C5—24no—
455C22×C5—216no—
456C22×C5—34no—
457C22×C5—62no—
458C22×C5—62no—
459C22×C5—68no—
460C22×C5C22×C4×D318yes—
461C22×C5C22×C4×D312yes—
462C22×C5#100412yes—
463C22×C5#101012yes—
464C22×C5C24×D311yescharacteristic
465C4×C5—34no—
466C4×C5—38no—
467C4×C5C22×C4×D314yes—
468Dic5—22no—
469Dic5—24no—
470Dic5—22no—
471Dic5—64no—
472Dic5—62no—
473Dic5—62no—
474C24—31no—
475C24C2×D3×D512yes—
476#41—364no—
477C2×Q8—38no—
478C2×Q8—34no—
479C2×D4—316no—
480C2×D4—38no—
481C2×D4D3×Dic518yescomplemented
482C2×D4C2×D3×D514yes—
483C22×C4—316no—
484C22×C4—38no—
485C22×C4—32no—
486C22×C4—31no—
487C22×C4—38no—
488C22×C4—34no—
489C22×C4—51no—
490C22×C4—51no—
491C22×C4—52no—
492C22×C4—58no—
493C22×C4—158no—
494C22×C4—151no—
495C22×C4—152no—
496C22×C4—151no—
497C22×C4—158no—
498C22×C4—204no—
499C22×C4—604no—
500C22×C4—604no—
501C22×C4C2×D3×D511yescharacteristic
502C4⋊C4—54no—
503C4⋊C4—154no—
504C4⋊C4—158no—
505C4⋊C4—158no—
506C4⋊C4—158no—
507C4⋊C4—154no—
508C4⋊C4—154no—
509C22⋊C4—58no—
510C22⋊C4—154no—
511C22⋊C4—154no—
512C22⋊C4—158no—
513C42—54no—
514C42—158no—
515C42—158no—
516C42—154no—
517C3×C5C2×#52011yescharacteristic, complemented, Hall
518C22×C3—216no—
519C22×C3—24no—
520C22×C3—24no—
521C22×C3#414912yes—
522C22×C3#415012yes—
523C22×C3C23×Dic518yes—
524C22×C3C23×Dic512yes—
525C22×C3C24×D511yescharacteristic
526C2×D3—28no—
527C2×D3—22no—
528C2×D3—22no—
529C2×D3C23×Dic514yes—
530C3×C4—104no—
531C3×C4—102no—
532C3×C4—102no—
533C3×C4C23×Dic514yes—
534Dic3—104no—
535Dic3—102no—
536Dic3—102no—
537Dic3C23×Dic518yes—
538Dic3C23×Dic514yes—
539C2×C5—28no—
540C2×C5—64no—
541C2×C5#554614yescomplemented
542C2×C5C23×C4×D311yescharacteristic
543C2×C5C2×#100411yescharacteristic
544C2×C5C2×#101011yescharacteristic
545C23—24no—
546C23—24no—
547C23—34no—
548C23—32no—
549C23—62no—
550C23—62no—
551C23C2×D3×Dic518yes—
552C23C22×D3×D514yes—
553C23C22×D3×D511yescharacteristic
554Q8—316no—
555D4—332no—
556D4C2×D3×Dic5116yescomplemented
557C2×C4—34no—
558C2×C4—38no—
559C2×C4—332no—
560C2×C4—34no—
561C2×C4—32no—
562C2×C4—316no—
563C2×C4—52no—
564C2×C4—52no—
565C2×C4—54no—
566C2×C4—102no—
567C2×C4—102no—
568C2×C4—104no—
569C2×C4—152no—
570C2×C4—154no—
571C2×C4—152no—
572C2×C4—208no—
573C2×C4—302no—
574C2×C4—304no—
575C2×C4—302no—
576C2×C4—608no—
577C2×C4—608no—
578C2×C4C2×D3×Dic514yes—
579C2×C4C22×D3×D512yes—
580C2×C3—28no—
581C2×C3#6616114yescomplemented
582C2×C3C2×#414911yescharacteristic
583C2×C3C2×#415011yescharacteristic
584C2×C3C24×Dic511yescharacteristic
585D3—24no—
586C5C2×#554611yescharacteristic, complemented, Sylow
587C22—216no—
588C22—24no—
589C22—24no—
590C22—34no—
591C22—68no—
592C22—62no—
593C22—62no—
594C22#9202012yes—
595C22#9202612yes—
596C22C22×D3×Dic518yes—
597C22C22×D3×Dic512yes—
598C22C23×D3×D511yescharacteristic
599C4—34no—
600C4—38no—
601C4—102no—
602C4—102no—
603C4—104no—
604C4—302no—
605C4—304no—
606C4—302no—
607C4C22×D3×Dic514yes—
608C3C2×#6616111yescharacteristic, complemented, Sylow
609C2—28no—
610C2—64no—
611C2#1175492014yesdirect product factor
612C2C2×#9202011yescharacteristic
613C2C2×#9202611yescharacteristic
614C2C23×D3×Dic511yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutatorC2×C3×C5C24×C4
FrattiniC22C23×D3×D5
FittingC22×C3×C5×D4C22
socleC23×C3×C5C24
prime radicalC22×C5×#237C2
cosocleC22×C3×C5C25
hypercenterC22×D4D3×D5
hypocenterC3×C5C2×#520
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. C2×D4×Dic15C2semidirect
3. C2×C3×D4×Dic5C2semidirect
4. C2×#67⋊Dic5C2semidirect
5. C2×Dic5×#67C2semidirect
6. C22×Dic3⋊Dic5C2semidirect
7. C2×#91529C2semidirect
8. #11754920C2direct (N × H)
9. C2×D3×C4⋊Dic5C2semidirect
10. C2×#91371C2semidirect
11. C2×#91344C2semidirect
12. C2×Dic5×Dic6C2semidirect
18. C2×C5×#237C4semidirect
25. D4×Dic15C22semidirect
29. C3×D4×Dic5C22semidirect
32. #67⋊Dic5C22semidirect
33. Dic5×#67C22semidirect
39. C2×Dic3⋊Dic5C22semidirect
42. #91529C22semidirect
45. D3×C4⋊Dic5C22semidirect
46. #91371C22semidirect
47. #91344C22semidirect
48. Dic5×Dic6C22semidirect
57. C2×D4×Dic5D3semidirect
64. C2×C3×C5×D4C2×C4semidirect
72. C2×C5×#67C2×C4semidirect
74. C22×C5×Dic3C2×C4semidirect
78. C5×#237C2×C4semidirect
79. C2×C4×C5×D3C2×C4semidirect
81. C2×C5×Dic6C2×C4semidirect
136. D4×Dic5C2×D3semidirect
162. C3×C5×D4C22×C4semidirect
172. C5×#67C22×C4semidirect
175. C2×C5×Dic3C22×C4semidirect
178. C4×C5×D3C22×C4semidirect
179. C5×Dic6C22×C4semidirect
193. C2×#237Dic5semidirect
230. C2×C5×D4C4×D3semidirect
301. C2×C3×D4C2×Dic5semidirect
309. C2×#67C2×Dic5semidirect
316. C22×Dic3C2×Dic5semidirect
320. #237C2×Dic5semidirect
323. C2×C4×D3C2×Dic5semidirect
325. C2×Dic6C2×Dic5semidirect
353. C5×D4C2×C4×D3semidirect
413. C2×C3×C5#520semidirect
427. C3×D4C22×Dic5semidirect
437. #67C22×Dic5semidirect
447. C2×Dic3C22×Dic5semidirect
451. C4×D3C22×Dic5semidirect
452. Dic6C22×Dic5semidirect
481. C2×D4D3×Dic5semidirect
517. C3×C5C2×#520semidirect
541. C2×C5#5546semidirect
556. D4C2×D3×Dic5semidirect
581. C2×C3#66161semidirect
586. C5C2×#5546semidirect
608. C3C2×#66161semidirect
611. C2#11754920direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C5×#2372
C2×D4×Dic152
C2×C3×D4×Dic52
C2×#67⋊Dic52
C2×Dic5×#672
C22×Dic3⋊Dic52
C2×#915292
#117549202
C2×D3×C4⋊Dic52
C2×#913712
C2×#913442
C2×Dic5×Dic62
C2×#661613
C2×#55465