Finite Group Databasebeta

← #14326094

Subgroups — #14326094

Order 1920.

1856 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C5×#239C211yesmaximal, characteristic
2C2×#91435C211yesmaximal, characteristic, complemented
3C2×Dic5×D12C211yesmaximal, characteristic, complemented
4#11751330C211yesmaximal, characteristic, complemented
5C3×#65519C211yesmaximal, characteristic, complemented
6#11748901C212yesmaximal, complemented
7#11748901C212yesmaximal, complemented
8D3×#3963C212yesmaximal, complemented
9#11748786C211yesmaximal, characteristic, complemented
10#11748777C212yesmaximal, complemented
11C4×(C2×D3)⋊Dic5C211yesmaximal, characteristic, complemented
12#10615819—31nomaximal, Hall
13C22×C3×C5×Q8C2211yescharacteristic
14C2×C5×#239—24no—
15C2×C5×#239—24no—
16C2×C5×#239C418yescomplemented
17C22×C5×D12C2212yes—
18C22×C5×D12C2211yescharacteristic
19C22×C4×C5×D3C2212yes—
20C22×C4×C5×D3C2211yescharacteristic
21C22×D3×Dic5C2212yes—
22C22×D3×Dic5C2212yes—
23C2×C4⋊Dic15C2211yescharacteristic
24C2×C4×Dic15C2211yescharacteristic
25C2×C3×C4⋊Dic5C2211yescharacteristic
26C2×C3×C4×Dic5C2211yescharacteristic
27C2×(C2×D3)⋊Dic5C2211yescharacteristic
28C2×(C2×D3)⋊Dic5C2211yescharacteristic
29C2×(C2×D3)⋊Dic5C2212yes—
30C2×(C2×D3)⋊Dic5C2212yes—
31C2×(C2×D3)⋊Dic5C2212yes—
32#91435—24no—
33Dic5×D12—24no—
34#91115C2212yes—
35#91115C2212yes—
36C3×#3963C2212yes—
37C3×#3963C2212yes—
38#90994C2211yescharacteristic
39#90994C2212yes—
40#90994C2211yescharacteristic
41#76613—51nomaximal, Hall
42C22×C5×#41—31no—
43C2×D4×Dic5—31no—
44C2×D4×Dic5—31no—
45#65519—31no—
46#65519D311yescharacteristic, complemented
47#65509—32no—
48#65509—32no—
49#65501—31no—
50#65500—32no—
51C4×C22⋊Dic5—31no—
52C2×#3963—32no—
53C23×C5×D3C2311yescharacteristic
54C23×C5×D3C2312yes—
55C2×C3×C5×Q8—22no—
56C2×C3×C5×Q8—22no—
57C2×C3×C5×Q8C2×C414yescomplemented
58C22×C3×C4×C5C2312yes—
59C22×C3×C4×C5C2311yescharacteristic
60C22×Dic15C2312yes—
61C22×Dic15C2311yescharacteristic
62C22×Dic15C2311yescharacteristic
63C22×C5×Dic3C2311yescharacteristic
64C5×#239—232no—
65C2×C5×D12—24no—
66C2×C5×D12—24no—
67C2×C5×D12C2×C414yes—
68C2×C5×D12C2×C418yescomplemented
69C2×C5×D12D414yes—
70C2×C5×D12D414yes—
71C2×C4×C5×D3—24no—
72C2×C4×C5×D3—24no—
73C2×C4×C5×D3—22no—
74C2×C4×C5×D3—22no—
75C2×C4×C5×D3C2×C418yescomplemented
76C2×C4×C5×D3C2×C414yescomplemented
77C22×C3×Dic5C2312yes—
78C22×C3×Dic5C2311yescharacteristic
79C22×C3×Dic5C2311yescharacteristic
80C2×D3×Dic5—24no—
81C2×D3×Dic5—24no—
82C2×D3×Dic5—24no—
83C2×D3×Dic5—24no—
84C2×D3×Dic5—42no—
85C2×D3×Dic5—42no—
86C4⋊Dic15—22no—
87C4×Dic15—22no—
88C3×C4⋊Dic5—22no—
89C3×C4×Dic5—22no—
90(C2×D3)⋊Dic5—24no—
91(C2×D3)⋊Dic5—24no—
92(C2×D3)⋊Dic5—22no—
93(C2×D3)⋊Dic5—22no—
94(C2×D3)⋊Dic5—42no—
95C22×#239D511yescharacteristic
96C2×#893—51no—
97C2×C4×D12—51no—
98C3×#391—51no—
99#5229—51no—
100#4987—51no—
101C4×(C2×D3)⋊C4—51no—
102#4665—52no—
103#4665—52no—
104#4664—52no—
105D3×#95—52no—
106C2×C5×#41—38no—
107C2×C5×#41—64no—
108C2×C5×#41—64no—
109C22×C5×Q8C2×D311yescharacteristic
110C22×C5×D4—31no—
111C22×C5×D4—32no—
112C23×C4×C5—32no—
113C23×C4×C5—31no—
114C23×Dic5—32no—
115C23×Dic5—32no—
116C2×C22⋊Dic5—32no—
117C2×C22⋊Dic5—32no—
118C2×C22⋊Dic5—31no—
119C2×C22⋊Dic5—31no—
120C2×C22⋊Dic5—32no—
121D4×Dic5—64no—
122D4×Dic5—64no—
123C2×C4⋊Dic5—31no—
124C2×C4⋊Dic5C2×D311yescharacteristic
125C2×C4×Dic5—31no—
126C2×C4×Dic5C2×D311yescharacteristic
127#3963—32no—
128#3963—32no—
129#3963—31no—
130#3963—32no—
131#3963—31no—
132#3963C2×D312yes—
133#3963C2×D312yes—
134#2339—151noSylow
135C23×C3×C5C2411yescharacteristic
136C22×C5×D3—22no—
137C22×C5×D3—22no—
138C22×C5×D3—22no—
139C22×C5×D3—22no—
140C22×C5×D3—21no—
141C22×C5×D3—21no—
142C22×C5×D3—21no—
143C22×C5×D3—21no—
144C22×C5×D3—21no—
145C22×C5×D3—21no—
146C22×C5×D3C22×C412yes—
147C22×C5×D3C22×C414yes—
148C22×C5×D3C2×D414yes—
149C22×C5×D3C2×D414yes—
150C3×C5×Q8—28no—
151C2×C3×C4×C5—22no—
152C2×C3×C4×C5—22no—
153C2×C3×C4×C5C22×C414yes—
154C2×C3×C4×C5C22×C412yes—
155C2×C3×C4×C5C2×D412yes—
156C2×C3×C4×C5C2×D412yes—
157C2×Dic15—21no—
158C2×Dic15—21no—
159C2×Dic15—21no—
160C2×Dic15—22no—
161C2×Dic15—21no—
162C2×Dic15—22no—
163C2×Dic15—22no—
164C2×Dic15—21no—
165C2×Dic15#4112yescomplemented
166C2×C5×Dic3—21no—
167C2×C5×Dic3—21no—
168C2×C5×Dic3C22×C412yes—
169C5×D12—216no—
170C5×D12C22⋊C4116yescomplemented
171C4×C5×D3—216no—
172C4×C5×D3—28no—
173C2×C3×Dic5—21no—
174C2×C3×Dic5—21no—
175C2×C3×Dic5—21no—
176C2×C3×Dic5—22no—
177C2×C3×Dic5—21no—
178C2×C3×Dic5—22no—
179C2×C3×Dic5—22no—
180C2×C3×Dic5—21no—
181C2×C3×Dic5#4112yescomplemented
182D3×Dic5—48no—
183D3×Dic5—48no—
184C22×C3×Q8C2×D511yescharacteristic
185C2×#239—24no—
186C2×#239—24no—
187C2×#239Dic518yescomplemented
188C22×D12C2×D512yes—
189C22×D12C2×D511yescharacteristic
190C22×C4×D3—52no—
191C22×C4×D3—52no—
192C22×C4×D3C2×D512yes—
193C22×C4×D3C2×D511yescharacteristic
194C2×C3×C4⋊C4—51no—
195C2×C3×C42—51no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4—52no—
198C2×(C2×D3)⋊C4—51no—
199C2×(C2×D3)⋊C4—51no—
200C2×(C2×D3)⋊C4—52no—
201C2×C4⋊Dic3—51no—
202C2×C4×Dic3—51no—
203#893—104no—
204C4×D12—104no—
205C3×#95—52no—
206C3×#95—52no—
207C3⋊#95—52no—
208C3⋊#95—52no—
209C3⋊#95—51no—
210C3⋊#95—52no—
211C3⋊#95—51no—
212C24×C5—32no—
213C24×C5—31no—
214C5×#41—632no—
215C2×C5×Q8—22no—
216C2×C5×Q8—22no—
217C2×C5×Q8C4×D314yescomplemented
218C2×C5×D4—34no—
219C2×C5×D4—38no—
220C2×C5×D4—34no—
221C2×C5×D4—34no—
222C2×C5×D4—64no—
223C2×C5×D4—64no—
224C22×C4×C5—31no—
225C22×C4×C5—38no—
226C22×C4×C5—34no—
227C22×C4×C5—64no—
228C22×C4×C5—64no—
229C22×C4×C5—62no—
230C22×C4×C5—62no—
231C22×C4×C5C22×D312yes—
232C22×C4×C5C22×D311yescharacteristic
233C22×Dic5—31no—
234C22×Dic5—31no—
235C22×Dic5—32no—
236C22×Dic5—64no—
237C22×Dic5—64no—
238C22×Dic5—64no—
239C22×Dic5—64no—
240C22×Dic5—122no—
241C22×Dic5—122no—
242C22×Dic5C22×D311yescharacteristic
243C22×Dic5C22×D312yes—
244C22×Dic5C22×D311yescharacteristic
245C22⋊Dic5—62no—
246C22⋊Dic5—64no—
247C22⋊Dic5—64no—
248C22⋊Dic5—62no—
249C22⋊Dic5—122no—
250C4⋊Dic5—22no—
251C4⋊Dic5—62no—
252C4×Dic5—22no—
253C4×Dic5—62no—
254C22×#41—31no—
255C2×C4×D4—151no—
256C2×C4×D4—151no—
257#391—51no—
258#391—151no—
259#386—152no—
260#386—152no—
261#381—152no—
262#380—151no—
263C4×C22⋊C4—151no—
264C2×#95—152no—
265C22×C3×C5C23×C411yescharacteristic
266C22×C3×C5C22×D411yescharacteristic
267C22×C3×C5C22×D411yescharacteristic
268C22×C3×C5C2×#4111yescharacteristic
269C22×C3×C5C2×#4111yescharacteristic
270C22×C3×C5H(5,𝔽2)11yescharacteristic
271C22×C3×C52−1+411yescharacteristic
272C2×C5×D3—24no—
273C2×C5×D3—24no—
274C2×C5×D3—24no—
275C2×C5×D3—24no—
276C2×C5×D3—24no—
277C2×C5×D3—24no—
278C2×C5×D3—22no—
279C2×C5×D3—22no—
280C2×C5×D3—22no—
281C2×C5×D3—41no—
282C2×C5×D3—41no—
283C2×C5×D3—41no—
284C2×C5×D3—41no—
285C2×C5×D3C2×C22⋊C418yes—
286C3×C4×C5—24no—
287C3×C4×C5C2×C22⋊C414yes—
288Dic15—22no—
289Dic15—42no—
290Dic15—41no—
291C3×Dic5—22no—
292C3×Dic5—42no—
293C3×Dic5—41no—
294C5×Dic3—22no—
295C23×D3C22×D511yescharacteristic
296C23×D3C22×D512yes—
297C2×C3×Q8—22no—
298C2×C3×Q8—22no—
299C2×C3×Q8C2×Dic514yescomplemented
300C22×C3×C4—51no—
301C22×C3×C4—51no—
302C22×C3×C4—52no—
303C22×C3×C4C22×D512yes—
304C22×C3×C4C22×D511yescharacteristic
305C22×Dic3—51no—
306C22×Dic3—51no—
307C22×Dic3—52no—
308C22×Dic3C22×D511yescharacteristic
309#239—232no—
310C2×D12—24no—
311C2×D12—24no—
312C2×D12C2×Dic514yes—
313C2×D12C2×Dic518yescomplemented
314C2×D12C22⋊D514yes—
315C2×D12C22⋊D514yes—
316C2×C4×D3—24no—
317C2×C4×D3—24no—
318C2×C4×D3—22no—
319C2×C4×D3—22no—
320C2×C4×D3—104no—
321C2×C4×D3—104no—
322C2×C4×D3—104no—
323C2×C4×D3—104no—
324C2×C4×D3—202no—
325C2×C4×D3—202no—
326C2×C4×D3C2×Dic518yescomplemented
327C2×C4×D3C2×Dic514yescomplemented
328C3×C4⋊C4—102no—
329C3×C42—102no—
330(C2×D3)⋊C4—102no—
331(C2×D3)⋊C4—102no—
332(C2×D3)⋊C4—104no—
333(C2×D3)⋊C4—104no—
334(C2×D3)⋊C4—202no—
335C4⋊Dic3—102no—
336C4×Dic3—102no—
337C23×C5—34no—
338C23×C5—34no—
339C23×C5—34no—
340C23×C5—32no—
341C23×C5—62no—
342C23×C5—62no—
343C23×C5—62no—
344C23×C5—62no—
345C23×C5—61no—
346C23×C5—61no—
347C23×C5—61no—
348C23×C5—61no—
349C23×C5—61no—
350C23×C5—61no—
351C23×C5C23×D311yescharacteristic
352C5×Q8—28no—
353C5×D4—316no—
354C5×D4—616no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—32no—
358C2×C4×C5—616no—
359C2×C4×C5—61no—
360C2×C4×C5—61no—
361C2×C4×C5—68no—
362C2×C4×C5C2×C4×D314yes—
363C2×C4×C5C2×C4×D312yes—
364C2×C4×C5D3×D412yes—
365C2×C4×C5D3×D412yes—
366C2×Dic5—21no—
367C2×Dic5—21no—
368C2×Dic5—21no—
369C2×Dic5—22no—
370C2×Dic5—21no—
371C2×Dic5—21no—
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—32no—
375C2×Dic5—61no—
376C2×Dic5—61no—
377C2×Dic5—61no—
378C2×Dic5—62no—
379C2×Dic5—61no—
380C2×Dic5—62no—
381C2×Dic5—61no—
382C2×Dic5—62no—
383C2×Dic5—128no—
384C2×Dic5—128no—
385C2×Dic5#23912yescomplemented
386C2×#41—38no—
387C2×#41—64no—
388C2×#41—64no—
389C22×Q8D3×D511yescharacteristic
390C22×D4—31no—
391C22×D4—32no—
392C23×C4—32no—
393C23×C4—31no—
394C23×C4—152no—
395C23×C4—152no—
396C4×D4—304no—
397C4×D4—304no—
398C2×C4⋊C4—51no—
399C2×C4⋊C4—151no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—151no—
403C2×C22⋊C4—151no—
404C2×C22⋊C4—152no—
405C2×C42—51no—
406C2×C42—151no—
407#95—52no—
408#95—52no—
409#95—151no—
410#95—152no—
411#95—151no—
412#95—152no—
413#95—152no—
414C2×C3×C5C22×C22⋊C411yescharacteristic
415C2×C3×C5C4×#4111yescharacteristic
416C2×C3×C5#52011yescharacteristic
417C2×C3×C5#54611yescharacteristic
418C2×C3×C5#54611yescharacteristic
419C2×C3×C5#54711yescharacteristic
420C2×C3×C5#54711yescharacteristic
421C5×D3—28no—
422C5×D3—42no—
423C23×C3C23×D511yescharacteristic
424C22×D3—22no—
425C22×D3—22no—
426C22×D3—22no—
427C22×D3—22no—
428C22×D3—21no—
429C22×D3—21no—
430C22×D3—21no—
431C22×D3—21no—
432C22×D3—21no—
433C22×D3—21no—
434C22×D3C22×Dic512yes—
435C22×D3C22×Dic514yes—
436C22×D3C2×C22⋊D514yes—
437C22×D3C2×C22⋊D514yes—
438C3×Q8—28no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—52no—
442C2×C3×C4—101no—
443C2×C3×C4—101no—
444C2×C3×C4—101no—
445C2×C3×C4—102no—
446C2×C3×C4—102no—
447C2×C3×C4—101no—
448C2×C3×C4—101no—
449C2×C3×C4—102no—
450C2×C3×C4C22×Dic514yes—
451C2×C3×C4C22×Dic512yes—
452C2×C3×C4C2×C22⋊D512yes—
453C2×C3×C4C2×C22⋊D512yes—
454C2×Dic3—21no—
455C2×Dic3—21no—
456C2×Dic3—52no—
457C2×Dic3—101no—
458C2×Dic3—101no—
459C2×Dic3—101no—
460C2×Dic3—102no—
461C2×Dic3—102no—
462C2×Dic3—101no—
463C2×Dic3—101no—
464C2×Dic3—102no—
465C2×Dic3C22×Dic512yes—
466D12—216no—
467D12C22⋊Dic5116yescomplemented
468C4×D3—216no—
469C4×D3—28no—
470C4×D3—208no—
471C4×D3—208no—
472C22×C5—38no—
473C22×C5—64no—
474C22×C5—64no—
475C22×C5—64no—
476C22×C5—64no—
477C22×C5—64no—
478C22×C5—64no—
479C22×C5—62no—
480C22×C5—62no—
481C22×C5—62no—
482C22×C5—121no—
483C22×C5—121no—
484C22×C5—121no—
485C22×C5—121no—
486C22×C5C22×C4×D311yescharacteristic
487C22×C5C2×D3×D411yescharacteristic
488C22×C5C2×D3×D411yescharacteristic
489C22×C5C2×#23911yescharacteristic
490C22×C5#100711yescharacteristic
491C22×C5D3×#4111yescharacteristic
492C22×C5#100911yescharacteristic
493C4×C5—24no—
494C4×C5—62no—
495C4×C5D3×C22⋊C414yes—
496Dic5—22no—
497Dic5—42no—
498Dic5—41no—
499Dic5—62no—
500Dic5—121no—
501Dic5—122no—
502C24—32no—
503C24—31no—
504#41—632no—
505C2×Q8—22no—
506C2×Q8—22no—
507C2×Q8D3×Dic514yescomplemented
508C2×D4—34no—
509C2×D4—38no—
510C2×D4—34no—
511C2×D4—34no—
512C2×D4—64no—
513C2×D4—64no—
514C22×C4—31no—
515C22×C4—38no—
516C22×C4—34no—
517C22×C4—51no—
518C22×C4—51no—
519C22×C4—52no—
520C22×C4—64no—
521C22×C4—64no—
522C22×C4—62no—
523C22×C4—62no—
524C22×C4—151no—
525C22×C4—151no—
526C22×C4—152no—
527C22×C4—304no—
528C22×C4—304no—
529C22×C4—304no—
530C22×C4—304no—
531C22×C4—602no—
532C22×C4—602no—
533C22×C4C2×D3×D512yes—
534C22×C4C2×D3×D511yescharacteristic
535C4⋊C4—102no—
536C4⋊C4—302no—
537C22⋊C4—302no—
538C22⋊C4—302no—
539C22⋊C4—304no—
540C22⋊C4—304no—
541C22⋊C4—602no—
542C42—102no—
543C42—302no—
544C3×C5#233911yescharacteristic, complemented, Hall
545C22×C3D5×#4111yescharacteristic
546C22×C3D5×#4111yescharacteristic
547C22×C3#414911yescharacteristic
548C22×C3#415011yescharacteristic
549C22×C3C23×Dic511yescharacteristic
550C22×C3C22×C22⋊D511yescharacteristic
551C22×C3C22×C22⋊D511yescharacteristic
552C2×D3—24no—
553C2×D3—24no—
554C2×D3—24no—
555C2×D3—24no—
556C2×D3—24no—
557C2×D3—24no—
558C2×D3—22no—
559C2×D3—22no—
560C2×D3—22no—
561C2×D3—41no—
562C2×D3—41no—
563C2×D3—41no—
564C2×D3—41no—
565C2×D3C2×C22⋊Dic518yes—
566C3×C4—24no—
567C3×C4—102no—
568C3×C4—201no—
569C3×C4—202no—
570C3×C4C2×C22⋊Dic514yes—
571Dic3—22no—
572Dic3—102no—
573Dic3—201no—
574Dic3—202no—
575C2×C5—68no—
576C2×C5—122no—
577C2×C5C2×D3×C22⋊C411yescharacteristic
578C2×C5C4×#23911yescharacteristic
579C2×C5#557411yescharacteristic
580C2×C5#563011yescharacteristic
581C2×C5#563111yescharacteristic
582C2×C5#567611yescharacteristic
583C2×C5#572611yescharacteristic
584C23—34no—
585C23—34no—
586C23—34no—
587C23—32no—
588C23—62no—
589C23—62no—
590C23—62no—
591C23—62no—
592C23—61no—
593C23—61no—
594C23—61no—
595C23—61no—
596C23—61no—
597C23—61no—
598C23C22×D3×D511yescharacteristic
599Q8—28no—
600D4—316no—
601D4—616no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—32no—
605C2×C4—52no—
606C2×C4—616no—
607C2×C4—61no—
608C2×C4—61no—
609C2×C4—68no—
610C2×C4—101no—
611C2×C4—101no—
612C2×C4—101no—
613C2×C4—101no—
614C2×C4—102no—
615C2×C4—102no—
616C2×C4—101no—
617C2×C4—102no—
618C2×C4—152no—
619C2×C4—301no—
620C2×C4—301no—
621C2×C4—301no—
622C2×C4—301no—
623C2×C4—302no—
624C2×C4—302no—
625C2×C4—301no—
626C2×C4—302no—
627C2×C4—608no—
628C2×C4—608no—
629C2×C4C2×D3×Dic514yes—
630C2×C4C2×D3×Dic512yes—
631C2×C4D3×C22⋊D512yes—
632C2×C4D3×C22⋊D512yes—
633C2×C3#6615811yescharacteristic
634C2×C3#6615811yescharacteristic
635C2×C3#41×Dic511yescharacteristic
636C2×C3#6616111yescharacteristic
637C2×C3#6616311yescharacteristic
638C2×C3#6616311yescharacteristic
639C2×C3C22×C22⋊Dic511yescharacteristic
640D3—28no—
641D3—42no—
642C5#7661311yescharacteristic, complemented, Sylow
643C22—38no—
644C22—64no—
645C22—64no—
646C22—64no—
647C22—64no—
648C22—64no—
649C22—64no—
650C22—62no—
651C22—62no—
652C22—62no—
653C22—121no—
654C22—121no—
655C22—121no—
656C22—121no—
657C22#9203011yescharacteristic
658C22D5×#23911yescharacteristic
659C22#9203411yescharacteristic
660C22#9203511yescharacteristic
661C22C22×D3×Dic511yescharacteristic
662C22C2×D3×C22⋊D511yescharacteristic
663C22C2×D3×C22⋊D511yescharacteristic
664C4—24no—
665C4—62no—
666C4—102no—
667C4—202no—
668C4—201no—
669C4—302no—
670C4—602no—
671C4—601no—
672C4D3×C22⋊Dic514yes—
673C3#1061581911yescharacteristic, complemented, Sylow
674C2—68no—
675C2—122no—
676C2#1175516311yescharacteristic
677C2Dic5×#23911yescharacteristic
678C2#1175522011yescharacteristic
679C2#1175523311yescharacteristic
680C2#1175527711yescharacteristic
681C2#1175528011yescharacteristic
682C2C2×D3×C22⋊Dic511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC22×C3×C5×Q8C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C5×#239C2
hypercenterC22×Q8D3×D5
hypocenterC3×C5#2339
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
2. C2×#91435C2semidirect
3. C2×Dic5×D12C2semidirect
4. #11751330C2semidirect
5. C3×#65519C2semidirect
6. #11748901C2semidirect
7. #11748901C2semidirect
8. D3×#3963C2semidirect
9. #11748786C2semidirect
10. #11748777C2semidirect
11. C4×(C2×D3)⋊Dic5C2semidirect
16. C2×C5×#239C4semidirect
46. #65519D3semidirect
57. C2×C3×C5×Q8C2×C4semidirect
68. C2×C5×D12C2×C4semidirect
75. C2×C4×C5×D3C2×C4semidirect
76. C2×C4×C5×D3C2×C4semidirect
165. C2×Dic15#41semidirect
170. C5×D12C22⋊C4semidirect
181. C2×C3×Dic5#41semidirect
187. C2×#239Dic5semidirect
217. C2×C5×Q8C4×D3semidirect
299. C2×C3×Q8C2×Dic5semidirect
313. C2×D12C2×Dic5semidirect
326. C2×C4×D3C2×Dic5semidirect
327. C2×C4×D3C2×Dic5semidirect
385. C2×Dic5#239semidirect
467. D12C22⋊Dic5semidirect
507. C2×Q8D3×Dic5semidirect
544. C3×C5#2339semidirect
642. C5#76613semidirect
673. C3#10615819semidirect

Maximal subgroups

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

subgroupindex
C22×C5×#2392
C2×#914352
C2×Dic5×D122
#117513302
C3×#655192
#117489012
D3×#39632
#117487862
#117487772
C4×(C2×D3)⋊Dic52
#106158193
#766135