Finite Group Databasebeta

← C2×#11754923 #14479082

Subgroups — C2×#11754923 #14479082

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×C3×#711C211yesmaximal, characteristic
2C2×D4×Dic15C211yesmaximal, characteristic, complemented
3C2×C5×D4×Dic3C211yesmaximal, characteristic, complemented
4C2×#91559C212yesmaximal, complemented
5C2×Dic3×C22⋊D5C212yesmaximal, complemented
6C22×#6668C212yesmaximal, complemented
7C2×#91528C212yesmaximal, complemented
8#11754923C2116yesmaximal, direct product factor
9C2×D5×C4⋊Dic3C211yesmaximal, characteristic, complemented
10C2×#91357C211yesmaximal, characteristic, complemented
11C2×#91331C211yesmaximal, characteristic, complemented
12C2×Dic3×Dic10C211yesmaximal, characteristic, complemented
13C2×#65880—31nomaximal, Hall
14C22×C3×C5×D4C2211yescharacteristic
15C23×Dic15C2212yes—
16C23×C5×Dic3C2212yes—
17C22×C3×C22⋊D5C2212yes—
18C23×C3×Dic5C2212yes—
19C2×C3×#711C4116yescomplemented
20C2×C3×#711C2218yes—
21C22×C3×C4×D5C2211yescharacteristic
22C22×C3×Dic10C2211yescharacteristic
23C22×D5×Dic3C2212yes—
24C2×#6719C2212yes—
25D4×Dic15C2218yescomplemented
26C2×C4⋊Dic15C2211yescharacteristic
27C2×C4×Dic15C2211yescharacteristic
28C2×C5×#217C2212yes—
29C5×D4×Dic3C2218yescomplemented
30C2×C5×C4⋊Dic3C2211yescharacteristic
31C2×C4×C5×Dic3C2211yescharacteristic
32#91559C22116yescomplemented
33Dic3×C22⋊D5C22116yescomplemented
34C2×#6668C2212yes—
35C2×#6668C2211yescharacteristic
36C2×#6668C2211yescharacteristic
37C2×#6668C2212yes—
38C2×#6668C2212yes—
39C2×#6668C22116yescomplemented
40C2×#6665C2211yescharacteristic
41C2×#6665C2211yescharacteristic
42#91528C22116yescomplemented
43C2×Dic3×Dic5C2212yes—
44C2×Dic3×Dic5C2212yes—
45D5×C4⋊Dic3C2218yescomplemented
46#91357C2218yescomplemented
47#91331C2218yescomplemented
48Dic3×Dic10C2218yescomplemented
49C2×#5827—51nomaximal, Hall
50C22×#711D311yescharacteristic
51C2×C4×C5×D4—31no—
52C2×D4×Dic5—31no—
53C2×C4×C22⋊D5—32no—
54C22×#683—32no—
55#65880—316no—
56C2×D5×C4⋊C4—31no—
57C2×#4033—31no—
58C2×#4027—32no—
59C2×#4023—32no—
60C2×#4018—31no—
61C2×C4×Dic10—31no—
62C24×C3×C5C2312yes—
63C23×C3×D5C2311yescharacteristic
64C2×C3×C5×D4C2×C418yescomplemented
65C2×C3×C5×D4C2314yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15—44no—
68C22×Dic15C2312yes—
69C22×Dic15C2311yescharacteristic
70C22×Dic15C2311yescharacteristic
71C22×Dic15C2318yes—
72C22×C5×Dic3—44no—
73C22×C5×Dic3C2311yescharacteristic
74C22×C5×Dic3C2311yescharacteristic
75C22×C5×Dic3C2312yes—
76C22×C5×Dic3C2318yes—
77C2×C3×C22⋊D5C2×C4116yescomplemented
78C2×C3×C22⋊D5C2318yes—
79C22×C3×Dic5C2×C4116yescomplemented
80C22×C3×Dic5C2312yes—
81C22×C3×Dic5C2311yescharacteristic
82C22×C3×Dic5C2318yes—
83C3×#711C2×C4164yescomplemented
84C2×C3×C4×D5C2×C418yescomplemented
85C2×C3×C4×D5C2314yes—
86C2×C3×Dic10C2×C418yescomplemented
87C2×C3×Dic10C2314yes—
88C2×D5×Dic3—44no—
89C2×D5×Dic3C2318yes—
90#6719C2318yes—
91C4⋊Dic15C2314yes—
92C4×Dic15C2314yes—
93C5×#217C2318yes—
94C5×C4⋊Dic3C2314yes—
95C4×C5×Dic3C2314yes—
96#6668C2318yes—
97#6668C2314yes—
98#6668C2314yes—
99#6668C2318yes—
100#6668C2318yes—
101#6665C2314yes—
102#6665C2314yes—
103Dic3×Dic5C2318yes—
104Dic3×Dic5C2318yes—
105C22×C3×#41—51no—
106#5827—516no—
107C2×Q8×Dic3—51no—
108C2×Q8×Dic3—51no—
109C2×D4×Dic3—51no—
110C2×D4×Dic3—52no—
111C2×D4×Dic3—52no—
112C2×D4×Dic3D511yescharacteristic, complemented
113C2×#926—52no—
114C2×#926—51no—
115C22×C4⋊Dic3—52no—
116C22×C4⋊Dic3—51no—
117C22×C5×D4C2×D311yescharacteristic
118C23×C4×C5—32no—
119C22×C22⋊D5C2×D312yes—
120C23×Dic5—32no—
121C23×Dic5C2×D312yes—
122C2×#711Dic3116yescomplemented
123C2×#711C2×D318yes—
124C22×C4×D5—32no—
125C22×C4×D5C2×D311yescharacteristic
126C22×Dic10C2×D311yescharacteristic
127C4×C5×D4—38no—
128C2×C5×C4⋊C4—31no—
129C2×C5×C22⋊C4—32no—
130C2×C42×C5—31no—
131C2×C22⋊Dic5—32no—
132D4×Dic5—38no—
133C4×C22⋊D5—316no—
134C2×#685—31no—
135C2×#685—31no—
136C2×C4⋊Dic5—31no—
137C2×#683—32no—
138C2×#683—31no—
139C2×#683—31no—
140C2×#683—32no—
141C2×#683—32no—
142C2×#683—316no—
143C2×C4×Dic5—31no—
144C2×C4×Dic5—32no—
145C2×C4×Dic5—32no—
146D5×C4⋊C4—38no—
147#4033—38no—
148#4027—316no—
149#4023—316no—
150#4018—38no—
151C4×Dic10—38no—
152C2×#520—151noSylow
153C23×C3×C5—24no—
154C23×C3×C5—24no—
155C23×C3×C5C22×C418yes—
156C23×C3×C5C2414yes—
157C23×C3×C5C2411yescharacteristic
158C22×C3×D5—22no—
159C22×C3×D5—22no—
160C22×C3×D5C22×C414yes—
161C22×C3×D5C2412yes—
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—
172C2×C5×Dic3—24no—
173C2×C5×Dic3—22no—
174C2×C5×Dic3—22no—
175C2×C5×Dic3—48no—
176C2×C5×Dic3C2412yes—
177C2×C5×Dic3C2414yes—
178C2×C5×Dic3C2412yes—
179C3×C22⋊D5C22×C4132yescomplemented
180C2×C3×Dic5C22×C418yes—
181C2×C3×Dic5C22×C414yes—
182C2×C3×Dic5C22×C4132yescomplemented
183C2×C3×Dic5C2414yes—
184C2×C3×Dic5C2412yes—
185C3×C4×D5C22×C4116yescomplemented
186C3×Dic10C22×C4116yescomplemented
187D5×Dic3—48no—
188C2×C3×#41—516no—
189C2×C3×#41—58no—
190C22×C3×Q8—51no—
191C22×C3×D4—52no—
192C22×C3×D4C2×D511yescharacteristic
193C23×C3×C4—52no—
194C23×C3×C4—51no—
195C23×Dic3—52no—
196C23×Dic3—52no—
197C23×Dic3C2×D512yes—
198C2×#217—52no—
199C2×#217—51no—
200C2×#217—51no—
201C2×#217C2×D512yes—
202Q8×Dic3—58no—
203Q8×Dic3—58no—
204D4×Dic3—58no—
205D4×Dic3—516no—
206D4×Dic3—516no—
207D4×Dic3C2×D518yescomplemented
208#926—516no—
209#926—58no—
210C2×C4⋊Dic3—51no—
211C2×C4⋊Dic3—52no—
212C2×C4⋊Dic3—51no—
213C2×C4⋊Dic3—52no—
214C2×C4⋊Dic3—52no—
215C2×C4⋊Dic3—51no—
216C2×C4⋊Dic3—516no—
217C2×C4⋊Dic3—58no—
218C2×C4⋊Dic3C2×D511yescharacteristic
219C2×C4×Dic3—51no—
220C2×C4×Dic3—52no—
221C2×C4×Dic3—52no—
222C2×C4×Dic3C2×D511yescharacteristic
223C24×C5C22×D312yes—
224C23×D5C22×D311yescharacteristic
225C2×C5×D4C2×Dic318yescomplemented
226C2×C5×D4C22×D314yes—
227C22×C4×C5—31no—
228C22×C4×C5—31no—
229C22×C4×C5—32no—
230C22×C4×C5—38no—
231C22×C4×C5—124no—
232C22×C4×C5C22×D311yescharacteristic
233C2×C22⋊D5C2×Dic3116yescomplemented
234C2×C22⋊D5C22×D318yes—
235C22×Dic5—31no—
236C22×Dic5—32no—
237C22×Dic5—31no—
238C22×Dic5—38no—
239C22×Dic5—124no—
240C22×Dic5C2×Dic3116yescomplemented
241C22×Dic5C22×D312yes—
242C22×Dic5C22×D311yescharacteristic
243C22×Dic5C22×D318yes—
244#711C2×Dic3164yescomplemented
245C2×C4×D5—38no—
246C2×C4×D5—124no—
247C2×C4×D5C2×Dic318yescomplemented
248C2×C4×D5C22×D314yes—
249C2×Dic10C2×Dic318yescomplemented
250C2×Dic10C22×D314yes—
251C5×C4⋊C4—34no—
252C5×C22⋊C4—38no—
253C42×C5—34no—
254C22⋊Dic5—38no—
255#685—34no—
256#685—34no—
257C4⋊Dic5—34no—
258#683—38no—
259#683—34no—
260#683—34no—
261#683—38no—
262#683—38no—
263C4×Dic5—34no—
264C4×Dic5—38no—
265C4×Dic5—38no—
266C22×#41—51no—
267#520—1516no—
268C2×C4×Q8—151no—
269C2×C4×Q8—151no—
270C2×C4×D4—31no—
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×C3×D5—28no—
287C2×C3×D5—22no—
288C2×C3×D5—22no—
289C2×C3×D5C23×C414yes—
290C3×C4×C5C23×C414yes—
291Dic15—24no—
292Dic15—22no—
293Dic15—22no—
294C3×Dic5C23×C418yes—
295C3×Dic5C23×C414yes—
296C5×Dic3—24no—
297C5×Dic3—22no—
298C5×Dic3—22no—
299C24×C3—51no—
300C24×C3C22×D512yes—
301C3×#41—564no—
302C2×C3×Q8—58no—
303C2×C3×Q8—54no—
304C2×C3×D4—516no—
305C2×C3×D4—58no—
306C2×C3×D4C4×D518yescomplemented
307C2×C3×D4C22×D514yes—
308C22×C3×C4—516no—
309C22×C3×C4—52no—
310C22×C3×C4—51no—
311C22×C3×C4—58no—
312C22×C3×C4—58no—
313C22×C3×C4—54no—
314C22×C3×C4C22×D511yescharacteristic
315C22×Dic3—44no—
316C22×Dic3—51no—
317C22×Dic3—51no—
318C22×Dic3—52no—
319C22×Dic3—58no—
320C22×Dic3—58no—
321C22×Dic3—204no—
322C22×Dic3—204no—
323C22×Dic3C22×D511yescharacteristic
324C22×Dic3C22×D512yes—
325C22×Dic3C22×D511yescharacteristic
326C22×Dic3C22×D518yes—
327#217—58no—
328#217—54no—
329#217—54no—
330#217C22×D518yes—
331C4⋊Dic3—54no—
332C4⋊Dic3—58no—
333C4⋊Dic3—54no—
334C4⋊Dic3—58no—
335C4⋊Dic3—58no—
336C4⋊Dic3—54no—
337C4⋊Dic3C22×D514yes—
338C4×Dic3—54no—
339C4×Dic3—58no—
340C4×Dic3—58no—
341C4×Dic3C22×D514yes—
342C23×C5—24no—
343C23×C5—24no—
344C23×C5C22×Dic318yes—
345C23×C5C23×D314yes—
346C23×C5C23×D311yescharacteristic
347C22×D5—22no—
348C22×D5—22no—
349C22×D5C22×Dic314yes—
350C22×D5C23×D312yes—
351C5×D4C22×Dic3116yescomplemented
352C2×C4×C5—32no—
353C2×C4×C5—34no—
354C2×C4×C5—32no—
355C2×C4×C5—64no—
356C2×C4×C5—62no—
357C2×C4×C5—62no—
358C2×C4×C5—128no—
359C2×C4×C5C22×Dic314yes—
360C2×C4×C5C23×D312yes—
361C22⋊D5C22×Dic3132yescomplemented
362C2×Dic5—32no—
363C2×Dic5—32no—
364C2×Dic5—34no—
365C2×Dic5—64no—
366C2×Dic5—62no—
367C2×Dic5—62no—
368C2×Dic5—128no—
369C2×Dic5C22×Dic318yes—
370C2×Dic5C22×Dic314yes—
371C2×Dic5C22×Dic3132yescomplemented
372C2×Dic5C23×D314yes—
373C2×Dic5C23×D312yes—
374C4×D5—128no—
375C4×D5C22×Dic3116yescomplemented
376Dic10C22×Dic3116yescomplemented
377C2×#41—516no—
378C2×#41—58no—
379C22×Q8—51no—
380C22×D4—52no—
381C22×D4D3×D511yescharacteristic
382C23×C4—32no—
383C23×C4—52no—
384C23×C4—51no—
385C23×C4—152no—
386C23×C4—152no—
387C4×Q8—158no—
388C4×Q8—158no—
389C4×D4—38no—
390C4×D4—1516no—
391C4×D4—1516no—
392C4×D4—158no—
393#117—158no—
394#117—1516no—
395C2×C4⋊C4—31no—
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—32no—
405C2×C22⋊C4—151no—
406C2×C22⋊C4—151no—
407C2×C22⋊C4—152no—
408C2×C42—31no—
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
417C3×D5—24no—
418C23×C3—24no—
419C23×C3—24no—
420C23×C3—54no—
421C23×C3—52no—
422C23×C3—102no—
423C23×C3—102no—
424C23×C3C2×C4×D518yes—
425C23×C3C23×D514yes—
426C23×C3C23×D511yescharacteristic
427C3×Q8—516no—
428C3×D4—532no—
429C3×D4C2×C4×D5116yescomplemented
430C2×C3×C4—54no—
431C2×C3×C4—58no—
432C2×C3×C4—532no—
433C2×C3×C4—54no—
434C2×C3×C4—52no—
435C2×C3×C4—516no—
436C2×C3×C4C2×C4×D514yes—
437C2×C3×C4C23×D512yes—
438C2×Dic3—22no—
439C2×Dic3—24no—
440C2×Dic3—22no—
441C2×Dic3—48no—
442C2×Dic3—52no—
443C2×Dic3—54no—
444C2×Dic3—52no—
445C2×Dic3—104no—
446C2×Dic3—102no—
447C2×Dic3—102no—
448C2×Dic3—208no—
449C2×Dic3—208no—
450C2×Dic3C23×D512yes—
451C2×Dic3C23×D514yes—
452C2×Dic3C23×D512yes—
453C22×C5—24no—
454C22×C5—24no—
455C22×C5—216no—
456C22×C5#100912yes—
457C22×C5#101012yes—
458C22×C5C23×Dic318yes—
459C22×C5C23×Dic312yes—
460C22×C5C24×D311yescharacteristic
461C2×D5—22no—
462C2×D5—22no—
463C2×D5—28no—
464C2×D5C23×Dic314yes—
465C4×C5—64no—
466C4×C5—62no—
467C4×C5—62no—
468C4×C5C23×Dic314yes—
469Dic5—64no—
470Dic5—62no—
471Dic5—62no—
472Dic5C23×Dic318yes—
473Dic5C23×Dic314yes—
474C24—51no—
475C24C2×D3×D512yes—
476#41—564no—
477C2×Q8—58no—
478C2×Q8—54no—
479C2×D4—516no—
480C2×D4—58no—
481C2×D4D5×Dic318yescomplemented
482C2×D4C2×D3×D514yes—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—32no—
486C22×C4—38no—
487C22×C4—516no—
488C22×C4—58no—
489C22×C4—52no—
490C22×C4—51no—
491C22×C4—58no—
492C22×C4—54no—
493C22×C4—124no—
494C22×C4—158no—
495C22×C4—151no—
496C22×C4—152no—
497C22×C4—151no—
498C22×C4—158no—
499C22×C4—604no—
500C22×C4—604no—
501C22×C4C2×D3×D511yescharacteristic
502C4⋊C4—34no—
503C4⋊C4—154no—
504C4⋊C4—158no—
505C4⋊C4—158no—
506C4⋊C4—158no—
507C4⋊C4—154no—
508C4⋊C4—154no—
509C22⋊C4—38no—
510C22⋊C4—154no—
511C22⋊C4—154no—
512C22⋊C4—158no—
513C42—34no—
514C42—158no—
515C42—158no—
516C42—154no—
517C3×C5C2×#52011yescharacteristic, complemented, Hall
518C22×C3—216no—
519C22×C3—24no—
520C22×C3—24no—
521C22×C3—54no—
522C22×C3—108no—
523C22×C3—102no—
524C22×C3—102no—
525C22×C3C22×C4×D518yes—
526C22×C3C22×C4×D512yes—
527C22×C3#414412yes—
528C22×C3#415012yes—
529C22×C3C24×D511yescharacteristic
530C3×C4—54no—
531C3×C4—58no—
532C3×C4C22×C4×D514yes—
533Dic3—22no—
534Dic3—24no—
535Dic3—22no—
536Dic3—104no—
537Dic3—102no—
538Dic3—102no—
539C2×C5—28no—
540C2×C5#582714yescomplemented
541C2×C5C2×#100911yescharacteristic
542C2×C5C2×#101011yescharacteristic
543C2×C5C24×Dic311yescharacteristic
544D5—24no—
545C23—24no—
546C23—24no—
547C23—54no—
548C23—52no—
549C23—102no—
550C23—102no—
551C23C2×D5×Dic318yes—
552C23C22×D3×D514yes—
553C23C22×D3×D511yescharacteristic
554Q8—516no—
555D4—532no—
556D4C2×D5×Dic3116yescomplemented
557C2×C4—32no—
558C2×C4—32no—
559C2×C4—34no—
560C2×C4—54no—
561C2×C4—58no—
562C2×C4—532no—
563C2×C4—54no—
564C2×C4—52no—
565C2×C4—516no—
566C2×C4—62no—
567C2×C4—62no—
568C2×C4—64no—
569C2×C4—128no—
570C2×C4—152no—
571C2×C4—154no—
572C2×C4—152no—
573C2×C4—302no—
574C2×C4—304no—
575C2×C4—302no—
576C2×C4—608no—
577C2×C4—608no—
578C2×C4C2×D5×Dic314yes—
579C2×C4C22×D3×D512yes—
580C2×C3—28no—
581C2×C3—104no—
582C2×C3#6588014yescomplemented
583C2×C3C23×C4×D511yescharacteristic
584C2×C3C2×#414411yescharacteristic
585C2×C3C2×#415011yescharacteristic
586C5C2×#582711yescharacteristic, complemented, Sylow
587C22—216no—
588C22—24no—
589C22—24no—
590C22—54no—
591C22—108no—
592C22—102no—
593C22—102no—
594C22#9202012yes—
595C22#9202712yes—
596C22C22×D5×Dic318yes—
597C22C22×D5×Dic312yes—
598C22C23×D3×D511yescharacteristic
599C4—54no—
600C4—58no—
601C4—62no—
602C4—62no—
603C4—64no—
604C4—302no—
605C4—304no—
606C4—302no—
607C4C22×D5×Dic314yes—
608C3C2×#6588011yescharacteristic, complemented, Sylow
609C2—28no—
610C2—104no—
611C2#1175492314yesdirect product factor
612C2C2×#9202011yescharacteristic
613C2C2×#9202711yescharacteristic
614C2C23×D5×Dic311yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutatorC2×C3×C5C24×C4
FrattiniC22C23×D3×D5
FittingC22×C3×C5×D4C22
socleC23×C3×C5C24
prime radicalC22×C3×#711C2
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×C5×D4×Dic3C2semidirect
4. C2×#91559C2semidirect
5. C2×Dic3×C22⋊D5C2semidirect
6. C22×#6668C2semidirect
7. C2×#91528C2semidirect
8. #11754923C2direct (N × H)
9. C2×D5×C4⋊Dic3C2semidirect
10. C2×#91357C2semidirect
11. C2×#91331C2semidirect
12. C2×Dic3×Dic10C2semidirect
19. C2×C3×#711C4semidirect
25. D4×Dic15C22semidirect
29. C5×D4×Dic3C22semidirect
32. #91559C22semidirect
33. Dic3×C22⋊D5C22semidirect
39. C2×#6668C22semidirect
42. #91528C22semidirect
45. D5×C4⋊Dic3C22semidirect
46. #91357C22semidirect
47. #91331C22semidirect
48. Dic3×Dic10C22semidirect
64. C2×C3×C5×D4C2×C4semidirect
77. C2×C3×C22⋊D5C2×C4semidirect
79. C22×C3×Dic5C2×C4semidirect
83. C3×#711C2×C4semidirect
84. C2×C3×C4×D5C2×C4semidirect
86. C2×C3×Dic10C2×C4semidirect
112. C2×D4×Dic3D5semidirect
122. C2×#711Dic3semidirect
162. C3×C5×D4C22×C4semidirect
179. C3×C22⋊D5C22×C4semidirect
182. C2×C3×Dic5C22×C4semidirect
185. C3×C4×D5C22×C4semidirect
186. C3×Dic10C22×C4semidirect
207. D4×Dic3C2×D5semidirect
225. C2×C5×D4C2×Dic3semidirect
233. C2×C22⋊D5C2×Dic3semidirect
240. C22×Dic5C2×Dic3semidirect
244. #711C2×Dic3semidirect
247. C2×C4×D5C2×Dic3semidirect
249. C2×Dic10C2×Dic3semidirect
306. C2×C3×D4C4×D5semidirect
351. C5×D4C22×Dic3semidirect
361. C22⋊D5C22×Dic3semidirect
371. C2×Dic5C22×Dic3semidirect
375. C4×D5C22×Dic3semidirect
376. Dic10C22×Dic3semidirect
413. C2×C3×C5#520semidirect
429. C3×D4C2×C4×D5semidirect
481. C2×D4D5×Dic3semidirect
517. C3×C5C2×#520semidirect
540. C2×C5#5827semidirect
556. D4C2×D5×Dic3semidirect
582. C2×C3#65880semidirect
586. C5C2×#5827semidirect
608. C3C2×#65880semidirect
611. C2#11754923direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#7112
C2×D4×Dic152
C2×C5×D4×Dic32
C2×#915592
C2×Dic3×C22⋊D52
C22×#66682
C2×#915282
#117549232
C2×D5×C4⋊Dic32
C2×#913572
C2×#913312
C2×Dic3×Dic102
C2×#658803
C2×#58275