Finite Group Databasebeta

← C2×#11748903 #14320261

Subgroups — C2×#11748903 #14320261

Order 1920.

2464 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×D3×Dic5C211yesmaximal, characteristic
2C22×C4⋊Dic15C211yesmaximal, characteristic, complemented
3C22×C5×(C2×D3)⋊C4C211yesmaximal, characteristic
4C22×Dic3⋊Dic5C211yesmaximal, characteristic, complemented
5C22×(C2×D3)⋊Dic5C211yesmaximal, characteristic
6C2×C3×#3963C211yesmaximal, characteristic, complemented
7C2×#90994C211yesmaximal, characteristic, complemented
8#11748903C218yesmaximal, direct product factor
9C2×#65239—31nomaximal, Hall
10C24×C5×D3C2211yescharacteristic
11C23×C3×C4×C5C2211yescharacteristic
12C23×Dic15C2211yescharacteristic
13C23×Dic15C2211yescharacteristic
14C23×C5×Dic3C2211yescharacteristic
15C23×C3×Dic5C2211yescharacteristic
16C23×C3×Dic5C2211yescharacteristic
17C22×D3×Dic5—24no—
18C22×D3×Dic5—24no—
19C22×D3×Dic5—24no—
20C22×D3×Dic5C2214yes—
21C2×C4⋊Dic15—24no—
22C2×C4⋊Dic15C2214yescomplemented
23C2×C5×(C2×D3)⋊C4C418yescomplemented
24C2×C5×(C2×D3)⋊C4C2214yes—
25C2×Dic3⋊Dic5—24no—
26C2×Dic3⋊Dic5C2214yescomplemented
27C2×(C2×D3)⋊Dic5—24no—
28C2×(C2×D3)⋊Dic5C2214yes—
29C3×#3963C2214yescomplemented
30#90994C2214yescomplemented
31C2×#4668—51nomaximal, Hall
32C24×Dic5—31no—
33C22×C5×C22⋊C4—31no—
34C22×C22⋊Dic5—31no—
35C22×C4⋊Dic5—31no—
36C22×C4⋊Dic5—31no—
37C2×#3963—31no—
38C2×#3963D311yescharacteristic, complemented
39#65239—38no—
40C24×C3×C5C2311yescharacteristic
41C23×C5×D3—22no—
42C23×C5×D3—22no—
43C23×C5×D3—22no—
44C23×C5×D3—22no—
45C23×C5×D3C2×C414yes—
46C23×C5×D3D414yes—
47C23×C5×D3Q814yes—
48C23×C5×D3C2312yes—
49C22×C3×C4×C5—22no—
50C22×C3×C4×C5—22no—
51C22×C3×C4×C5C2×C414yescomplemented
52C22×C3×C4×C5C2312yes—
53C22×Dic15—22no—
54C22×Dic15—22no—
55C22×Dic15—22no—
56C22×Dic15—22no—
57C22×Dic15—22no—
58C22×Dic15D414yes—
59C22×Dic15C2312yes—
60C22×Dic15C2312yes—
61C22×C5×Dic3—22no—
62C22×C5×Dic3—22no—
63C22×C5×Dic3C2×C414yescomplemented
64C22×C5×Dic3C2312yes—
65C22×C3×Dic5—22no—
66C22×C3×Dic5—22no—
67C22×C3×Dic5—22no—
68C22×C3×Dic5—22no—
69C22×C3×Dic5—22no—
70C22×C3×Dic5D414yes—
71C22×C3×Dic5C2312yes—
72C22×C3×Dic5C2312yes—
73C2×D3×Dic5—232no—
74C2×D3×Dic5—28no—
75C2×D3×Dic5—28no—
76C2×D3×Dic5—28no—
77C4⋊Dic15—28no—
78C5×(C2×D3)⋊C4C2×C4116yescomplemented
79Dic3⋊Dic5—28no—
80(C2×D3)⋊Dic5—28no—
81C23×C4×D3—51no—
82C22×(C2×D3)⋊C4—51no—
83C22×(C2×D3)⋊C4D511yescharacteristic
84C22×C4⋊Dic3—51no—
85C22×Dic3⋊C4—51no—
86C2×C3×#95—51no—
87C2×C3⋊#95—51no—
88#4668—58no—
89C25×C5—31no—
90C23×C4×C5—31no—
91C23×C4×C5C2×D311yescharacteristic
92C23×Dic5—31no—
93C23×Dic5—31no—
94C23×Dic5—34no—
95C23×Dic5—64no—
96C23×Dic5—64no—
97C23×Dic5—64no—
98C23×Dic5C2×D311yescharacteristic
99C23×Dic5C2×D311yescharacteristic
100C2×C5×C22⋊C4—38no—
101C2×C5×C22⋊C4—34no—
102C2×C22⋊Dic5—34no—
103C2×C22⋊Dic5—64no—
104C2×C4⋊Dic5—34no—
105C2×C4⋊Dic5—34no—
106C2×C4⋊Dic5—64no—
107C2×C4⋊Dic5—64no—
108#3963—34no—
109#3963C2×D314yescomplemented
110C2×#385—151noSylow
111C23×C3×C5C22×C412yes—
112C23×C3×C5C2×D412yes—
113C23×C3×C5C2×D412yes—
114C23×C3×C5C2×D412yes—
115C23×C3×C5C2×Q812yes—
116C23×C3×C5#4112yes—
117C23×C3×C5#4112yes—
118C23×C3×C5C2411yescharacteristic
119C22×C5×D3—28no—
120C22×C5×D3—28no—
121C22×C5×D3—28no—
122C22×C5×D3—28no—
123C22×C5×D3—28no—
124C22×C5×D3—28no—
125C22×C5×D3—22no—
126C22×C5×D3—22no—
127C22×C5×D3—22no—
128C22×C5×D3—22no—
129C22×C5×D3C4⋊C4116yescomplemented
130C22×C5×D3C22×C414yes—
131C22×C5×D3C2×D414yes—
132C22×C5×D3C2×Q814yes—
133C2×C3×C4×C5—28no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5C22×C414yescomplemented
137C2×Dic15—28no—
138C2×Dic15—22no—
139C2×Dic15—22no—
140C2×Dic15—22no—
141C2×Dic15—22no—
142C2×Dic15—22no—
143C2×Dic15—44no—
144C2×Dic15C2×D414yes—
145C2×C5×Dic3—28no—
146C2×C5×Dic3—22no—
147C2×C5×Dic3—22no—
148C2×C5×Dic3C22×C414yescomplemented
149C2×C3×Dic5—28no—
150C2×C3×Dic5—22no—
151C2×C3×Dic5—22no—
152C2×C3×Dic5—22no—
153C2×C3×Dic5—22no—
154C2×C3×Dic5—22no—
155C2×C3×Dic5—44no—
156C2×C3×Dic5C2×D414yes—
157D3×Dic5—232no—
158C24×D3C2×D511yescharacteristic
159C23×C3×C4—51no—
160C23×C3×C4—51no—
161C23×C3×C4C2×D511yescharacteristic
162C23×Dic3—51no—
163C23×Dic3—51no—
164C23×Dic3C2×D511yescharacteristic
165C22×C4×D3—54no—
166C22×C4×D3—104no—
167C22×C4×D3—104no—
168C22×C4×D3—104no—
169C2×(C2×D3)⋊C4—54no—
170C2×(C2×D3)⋊C4—104no—
171C2×(C2×D3)⋊C4Dic518yescomplemented
172C2×(C2×D3)⋊C4C2×D514yes—
173C2×C4⋊Dic3—54no—
174C2×C4⋊Dic3—104no—
175C2×Dic3⋊C4—54no—
176C2×Dic3⋊C4—104no—
177C3×#95—54no—
178C3⋊#95—54no—
179C24×C5—34no—
180C24×C5—34no—
181C24×C5—34no—
182C24×C5—32no—
183C24×C5—62no—
184C24×C5—62no—
185C24×C5—62no—
186C24×C5—62no—
187C24×C5C22×D311yescharacteristic
188C22×C4×C5—22no—
189C22×C4×C5—22no—
190C22×C4×C5—34no—
191C22×C4×C5—32no—
192C22×C4×C5—62no—
193C22×C4×C5—62no—
194C22×C4×C5C4×D314yescomplemented
195C22×C4×C5C22×D312yes—
196C22×Dic5—22no—
197C22×Dic5—22no—
198C22×Dic5—22no—
199C22×Dic5—22no—
200C22×Dic5—22no—
201C22×Dic5—34no—
202C22×Dic5—32no—
203C22×Dic5—32no—
204C22×Dic5—68no—
205C22×Dic5—68no—
206C22×Dic5—632no—
207C22×Dic5—62no—
208C22×Dic5—62no—
209C22×Dic5—68no—
210C22×Dic5—62no—
211C22×Dic5—62no—
212C22×Dic5—62no—
213C22×Dic5D1214yes—
214C22×Dic5C22×D312yes—
215C22×Dic5C22×D312yes—
216C5×C22⋊C4—316no—
217C22⋊Dic5—68no—
218C4⋊Dic5—68no—
219C4⋊Dic5—68no—
220C24×C4—151no—
221C22×C4⋊C4—151no—
222C22×C4⋊C4—151no—
223C22×C22⋊C4—31no—
224C22×C22⋊C4—151no—
225#385—158no—
226C2×#95—51no—
227C2×#95—151no—
228C22×C3×C5C2×C4⋊C414yes—
229C22×C3×C5C4×D414yes—
230C22×C3×C5C4×D414yes—
231C22×C3×C5#12014yes—
232C22×C3×C5C22⋊Q814yes—
233C22×C3×C5C22⋊Q814yes—
234C22×C3×C5#12314yes—
235C22×C3×C5C23×C411yescharacteristic
236C22×C3×C5C22×D411yescharacteristic
237C22×C3×C5C22×D411yescharacteristic
238C22×C3×C5C22×D411yescharacteristic
239C22×C3×C5C22×Q811yescharacteristic
240C22×C3×C5C2×#4111yescharacteristic
241C22×C3×C5C2×#4111yescharacteristic
242C2×C5×D3—24no—
243C2×C5×D3—24no—
244C2×C5×D3—24no—
245C2×C5×D3—24no—
246C2×C5×D3—24no—
247C2×C5×D3—24no—
248C2×C5×D3—232no—
249C2×C5×D3C2×C4⋊C418yescomplemented
250C3×C4×C5—24no—
251Dic15—24no—
252Dic15—42no—
253C3×Dic5—24no—
254C3×Dic5—42no—
255C5×Dic3—24no—
256C24×C3C22×D511yescharacteristic
257C23×D3—22no—
258C23×D3—22no—
259C23×D3—22no—
260C23×D3—22no—
261C23×D3Dic1014yes—
262C23×D3D2014yes—
263C23×D3C2×Dic514yes—
264C23×D3C22×D512yes—
265C22×C3×C4—22no—
266C22×C3×C4—22no—
267C22×C3×C4—54no—
268C22×C3×C4—52no—
269C22×C3×C4—52no—
270C22×C3×C4—102no—
271C22×C3×C4—102no—
272C22×C3×C4—102no—
273C22×C3×C4—102no—
274C22×C3×C4—102no—
275C22×C3×C4C2×Dic514yescomplemented
276C22×C3×C4C22×D512yes—
277C22×Dic3—22no—
278C22×Dic3—22no—
279C22×Dic3—54no—
280C22×Dic3—52no—
281C22×Dic3—52no—
282C22×Dic3—102no—
283C22×Dic3—102no—
284C22×Dic3—102no—
285C22×Dic3—102no—
286C22×Dic3—102no—
287C22×Dic3C2×Dic514yescomplemented
288C22×Dic3C22×D512yes—
289C2×C4×D3—108no—
290C2×C4×D3—108no—
291C2×C4×D3—1032no—
292C2×C4×D3—108no—
293(C2×D3)⋊C4—108no—
294(C2×D3)⋊C4C2×Dic5116yescomplemented
295C4⋊Dic3—108no—
296Dic3⋊C4—108no—
297C23×C5—316no—
298C23×C5—34no—
299C23×C5—34no—
300C23×C5—34no—
301C23×C5—68no—
302C23×C5—68no—
303C23×C5—68no—
304C23×C5—68no—
305C23×C5—68no—
306C23×C5—68no—
307C23×C5—62no—
308C23×C5—62no—
309C23×C5—62no—
310C23×C5—62no—
311C23×C5C2×C4×D312yes—
312C23×C5C2×D1212yes—
313C23×C5#23512yes—
314C23×C5D3×D412yes—
315C23×C5D3×D412yes—
316C23×C5#23712yes—
317C23×C5D3×Q812yes—
318C23×C5C23×D311yescharacteristic
319C2×C4×C5—28no—
320C2×C4×C5—22no—
321C2×C4×C5—22no—
322C2×C4×C5—34no—
323C2×C4×C5—68no—
324C2×C4×C5—62no—
325C2×C4×C5—62no—
326C2×C4×C5C2×C4×D314yescomplemented
327C2×Dic5—28no—
328C2×Dic5—22no—
329C2×Dic5—22no—
330C2×Dic5—22no—
331C2×Dic5—22no—
332C2×Dic5—22no—
333C2×Dic5—34no—
334C2×Dic5—44no—
335C2×Dic5—632no—
336C2×Dic5—68no—
337C2×Dic5—62no—
338C2×Dic5—62no—
339C2×Dic5—62no—
340C2×Dic5—62no—
341C2×Dic5—62no—
342C2×Dic5—124no—
343C2×Dic5C2×D1214yes—
344C25—31no—
345C23×C4—31no—
346C23×C4—51no—
347C23×C4—51no—
348C23×C4—154no—
349C23×C4—151no—
350C23×C4—151no—
351C23×C4—304no—
352C23×C4—304no—
353C23×C4—304no—
354C23×C4D3×D511yescharacteristic
355C2×C4⋊C4—154no—
356C2×C4⋊C4—154no—
357C2×C4⋊C4—304no—
358C2×C4⋊C4—304no—
359C2×C22⋊C4—38no—
360C2×C22⋊C4—34no—
361C2×C22⋊C4—154no—
362C2×C22⋊C4—304no—
363#95—54no—
364#95—154no—
365C2×C3×C5#38518yescomplemented
366C2×C3×C5C22×C4⋊C411yescharacteristic
367C2×C3×C5C2×C4×D411yescharacteristic
368C2×C3×C5C2×C4×D411yescharacteristic
369C2×C3×C5C2×#12011yescharacteristic
370C2×C3×C5C2×C22⋊Q811yescharacteristic
371C2×C3×C5C2×C22⋊Q811yescharacteristic
372C2×C3×C5C2×#12311yescharacteristic
373C5×D3—28no—
374C23×C3C2×Dic1012yes—
375C23×C3C2×D2012yes—
376C23×C3D4×D512yes—
377C23×C3D4×D512yes—
378C23×C3#71112yes—
379C23×C3#71112yes—
380C23×C3C22×Dic512yes—
381C23×C3C23×D511yescharacteristic
382C22×D3—22no—
383C22×D3—22no—
384C22×D3—22no—
385C22×D3—22no—
386C22×D3—28no—
387C22×D3—28no—
388C22×D3—28no—
389C22×D3—28no—
390C22×D3—28no—
391C22×D3—28no—
392C22×D3C4⋊Dic5116yescomplemented
393C22×D3C2×Dic1014yes—
394C22×D3C2×D2014yes—
395C22×D3C22×Dic514yes—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—28no—
399C2×C3×C4—54no—
400C2×C3×C4—102no—
401C2×C3×C4—102no—
402C2×C3×C4—108no—
403C2×C3×C4—102no—
404C2×C3×C4—102no—
405C2×C3×C4—102no—
406C2×C3×C4—204no—
407C2×C3×C4C22×Dic514yescomplemented
408C2×Dic3—22no—
409C2×Dic3—22no—
410C2×Dic3—28no—
411C2×Dic3—54no—
412C2×Dic3—102no—
413C2×Dic3—102no—
414C2×Dic3—108no—
415C2×Dic3—102no—
416C2×Dic3—102no—
417C2×Dic3—102no—
418C2×Dic3—204no—
419C2×Dic3C22×Dic514yescomplemented
420C4×D3—1032no—
421C22×C5—38no—
422C22×C5—632no—
423C22×C5—64no—
424C22×C5—64no—
425C22×C5—64no—
426C22×C5—64no—
427C22×C5—64no—
428C22×C5—64no—
429C22×C5C4×D1214yes—
430C22×C5#67⋊C414yes—
431C22×C5#88214yes—
432C22×C5#88314yes—
433C22×C5D3×C4⋊C414yes—
434C22×C5#89614yes—
435C22×C5#89714yes—
436C22×C5C22×C4×D311yescharacteristic
437C22×C5C22×D1211yescharacteristic
438C22×C5C2×#23511yescharacteristic
439C22×C5C2×D3×D411yescharacteristic
440C22×C5C2×D3×D411yescharacteristic
441C22×C5C2×#23711yescharacteristic
442C22×C5C2×D3×Q811yescharacteristic
443C4×C5—24no—
444C4×C5—64no—
445Dic5—24no—
446Dic5—42no—
447Dic5—64no—
448Dic5—122no—
449C24—34no—
450C24—34no—
451C24—34no—
452C24—32no—
453C24—62no—
454C24—62no—
455C24—62no—
456C24—62no—
457C24C2×D3×D511yescharacteristic
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—34no—
461C22×C4—32no—
462C22×C4—54no—
463C22×C4—52no—
464C22×C4—52no—
465C22×C4—62no—
466C22×C4—62no—
467C22×C4—102no—
468C22×C4—102no—
469C22×C4—102no—
470C22×C4—102no—
471C22×C4—102no—
472C22×C4—154no—
473C22×C4—152no—
474C22×C4—152no—
475C22×C4—308no—
476C22×C4—308no—
477C22×C4—308no—
478C22×C4—3032no—
479C22×C4—302no—
480C22×C4—302no—
481C22×C4—302no—
482C22×C4—302no—
483C22×C4—302no—
484C22×C4D3×Dic514yescomplemented
485C22×C4C2×D3×D512yes—
486C4⋊C4—308no—
487C4⋊C4—308no—
488C22⋊C4—316no—
489C22⋊C4—308no—
490C3×C5C2×#38511yescharacteristic, complemented, Hall
491C22×C3#402414yes—
492C22×C3#402414yes—
493C22×C3#402814yes—
494C22×C3#403214yes—
495C22×C3C2×C4⋊Dic514yes—
496C22×C3D4×Dic514yes—
497C22×C3D4×Dic514yes—
498C22×C3C22×Dic1011yescharacteristic
499C22×C3C22×D2011yescharacteristic
500C22×C3C2×D4×D511yescharacteristic
501C22×C3C2×D4×D511yescharacteristic
502C22×C3C2×#71111yescharacteristic
503C22×C3C2×#71111yescharacteristic
504C22×C3C23×Dic511yescharacteristic
505C2×D3—24no—
506C2×D3—24no—
507C2×D3—24no—
508C2×D3—24no—
509C2×D3—24no—
510C2×D3—24no—
511C2×D3—232no—
512C2×D3C2×C4⋊Dic518yescomplemented
513C3×C4—24no—
514C3×C4—104no—
515C3×C4—202no—
516Dic3—24no—
517Dic3—104no—
518Dic3—202no—
519C2×C5—68no—
520C2×C5#466818yescomplemented
521C2×C5C2×C4×D1211yescharacteristic
522C2×C5C2×#67⋊C411yescharacteristic
523C2×C5C2×#88211yescharacteristic
524C2×C5C2×#88311yescharacteristic
525C2×C5C2×D3×C4⋊C411yescharacteristic
526C2×C5C2×#89611yescharacteristic
527C2×C5C2×#89711yescharacteristic
528C23—316no—
529C23—34no—
530C23—34no—
531C23—34no—
532C23—68no—
533C23—68no—
534C23—68no—
535C23—68no—
536C23—68no—
537C23—62no—
538C23—62no—
539C23—62no—
540C23—62no—
541C23—68no—
542C23D3×Dic1012yes—
543C23#677212yes—
544C23D5×D1212yes—
545C23D3×D2012yes—
546C23#678012yes—
547C23C2×D3×Dic512yes—
548C23#679012yes—
549C23C22×D3×D511yescharacteristic
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—28no—
553C2×C4—34no—
554C2×C4—54no—
555C2×C4—68no—
556C2×C4—62no—
557C2×C4—62no—
558C2×C4—108no—
559C2×C4—102no—
560C2×C4—102no—
561C2×C4—102no—
562C2×C4—102no—
563C2×C4—102no—
564C2×C4—154no—
565C2×C4—204no—
566C2×C4—3032no—
567C2×C4—308no—
568C2×C4—302no—
569C2×C4—302no—
570C2×C4—302no—
571C2×C4—302no—
572C2×C4—302no—
573C2×C4—604no—
574C2×C4C2×D3×Dic514yescomplemented
575C2×C3#6523918yescomplemented
576C2×C3C2×#402411yescharacteristic
577C2×C3C2×#402411yescharacteristic
578C2×C3C2×#402811yescharacteristic
579C2×C3C2×#403211yescharacteristic
580C2×C3C22×C4⋊Dic511yescharacteristic
581C2×C3C2×D4×Dic511yescharacteristic
582C2×C3C2×D4×Dic511yescharacteristic
583D3—28no—
584C5C2×#466811yescharacteristic, complemented, Sylow
585C22—38no—
586C22—632no—
587C22—64no—
588C22—64no—
589C22—64no—
590C22—64no—
591C22—64no—
592C22—64no—
593C22Dic5×D1214yes—
594C22#9141714yes—
595C22D3×C4⋊Dic514yes—
596C22#9143214yes—
597C22#9145714yes—
598C22#9147614yes—
599C22#67⋊Dic514yes—
600C22C2×D3×Dic1011yescharacteristic
601C22C2×#677211yescharacteristic
602C22C2×D5×D1211yescharacteristic
603C22C2×D3×D2011yescharacteristic
604C22C2×#678011yescharacteristic
605C22C22×D3×Dic511yescharacteristic
606C22C2×#679011yescharacteristic
607C4—24no—
608C4—64no—
609C4—104no—
610C4—202no—
611C4—304no—
612C4—602no—
613C3C2×#6523911yescharacteristic, complemented, Sylow
614C2—68no—
615C2#1174890318yesdirect product factor
616C2C2×Dic5×D1211yescharacteristic
617C2C2×#9141711yescharacteristic
618C2C2×D3×C4⋊Dic511yescharacteristic
619C2C2×#9143211yescharacteristic
620C2C2×#9145711yescharacteristic
621C2C2×#9147611yescharacteristic
622C2C2×#67⋊Dic511yescharacteristic
subgroupG/H
centerC24C2×D3×D5
commutatorC22×C3×C5C23×C4
FrattiniC23C22×D3×D5
FittingC23×C3×C4×C5C22
socleC24×C3×C5C23
prime radicalC24×C5×D3C22
cosocleC23×C3×C5C24
hypercenterC23×C4D3×D5
hypocenterC3×C5C2×#385
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C24 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊Dic15C2semidirect
4. C22×Dic3⋊Dic5C2semidirect
6. C2×C3×#3963C2semidirect
7. C2×#90994C2semidirect
8. #11748903C2direct (N × H)
22. C2×C4⋊Dic15C22semidirect
23. C2×C5×(C2×D3)⋊C4C4semidirect
26. C2×Dic3⋊Dic5C22semidirect
29. C3×#3963C22semidirect
30. #90994C22semidirect
38. C2×#3963D3semidirect
51. C22×C3×C4×C5C2×C4semidirect
63. C22×C5×Dic3C2×C4semidirect
78. C5×(C2×D3)⋊C4C2×C4semidirect
109. #3963C2×D3semidirect
129. C22×C5×D3C4⋊C4semidirect
136. C2×C3×C4×C5C22×C4semidirect
148. C2×C5×Dic3C22×C4semidirect
171. C2×(C2×D3)⋊C4Dic5semidirect
194. C22×C4×C5C4×D3semidirect
249. C2×C5×D3C2×C4⋊C4semidirect
275. C22×C3×C4C2×Dic5semidirect
287. C22×Dic3C2×Dic5semidirect
294. (C2×D3)⋊C4C2×Dic5semidirect
326. C2×C4×C5C2×C4×D3semidirect
365. C2×C3×C5#385semidirect
392. C22×D3C4⋊Dic5semidirect
407. C2×C3×C4C22×Dic5semidirect
419. C2×Dic3C22×Dic5semidirect
484. C22×C4D3×Dic5semidirect
490. C3×C5C2×#385semidirect
512. C2×D3C2×C4⋊Dic5semidirect
520. C2×C5#4668semidirect
574. C2×C4C2×D3×Dic5semidirect
575. C2×C3#65239semidirect
584. C5C2×#4668semidirect
613. C3C2×#65239semidirect
615. C2#11748903direct (N × H)

Maximal subgroups

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

subgroupindex
C23×D3×Dic52
C22×C4⋊Dic152
C22×C5×(C2×D3)⋊C42
C22×Dic3⋊Dic52
C22×(C2×D3)⋊Dic52
C2×C3×#39632
C2×#909942
#117489032
C2×#652393
C2×#46685