Finite Group Databasebeta

← C2×C3×#65062 #14423185

Subgroups — C2×C3×#65062 #14423185

Order 1920.

2096 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
1C22×C3×D4×D5C211yesmaximal, characteristic, complemented
2C22×C3×#686C211yesmaximal, characteristic, complemented
3C22×C3×D40C211yesmaximal, characteristic, complemented
4C2×C3×#4041C211yesmaximal, characteristic, complemented
5C2×C3×C5×#102C211yesmaximal, characteristic, complemented
6C2×C3×#3952C211yesmaximal, characteristic, complemented
7C2×C3×#3941C211yesmaximal, characteristic, complemented
8C3×#65062C218yesmaximal, direct product factor
9C2×#65062C311yesmaximal, characteristic, direct product factor, Hall
10C24×C3×D5—21no—
11C22×C3×C5×D4C2211yescharacteristic
12C22×C3×C22⋊D5—21no—
13C2×C3×D4×D5—24no—
14C2×C3×D4×D5—24no—
15C2×C3×D4×D5—22no—
16C2×C3×D4×D5C2214yescomplemented
17C22×C3×D20—21no—
18C22×C3×D20C2211yescharacteristic
19C22×C3×D20C2211yescharacteristic, complemented
20C22×C3×C4×D5C2211yescharacteristic
21C22×C3×C5×C8C2211yescharacteristic, complemented
22C2×C3×C5×C4⋊C4C2211yescharacteristic, complemented
23C2×C3×#686—24no—
24C2×C3×#686C2214yescomplemented
25C2×C3×#685—21no—
26C22×C3×#168C2211yescharacteristic, complemented
27C2×C3×D40—24no—
28C2×C3×D40C2214yescomplemented
29C3×#4041—22no—
30C3×#4041C2214yescomplemented
31C3×C5×#102C2214yescomplemented
32C3×#3952C2214yescomplemented
33C3×#3941C2214yescomplemented
34C2×C3×#447—51nomaximal, Hall
35C22×D4×D5C2×C311yescharacteristic, complemented
36C22×#686C2×C311yescharacteristic, complemented
37C22×D40C2×C311yescharacteristic, complemented
38C2×#4041C2×C311yescharacteristic, complemented
39C2×C5×#102C2×C311yescharacteristic, complemented
40C2×#3952C2×C311yescharacteristic, complemented
41C2×#3941C2×C311yescharacteristic, complemented
42#65062C2×C318yesdirect product factor
43C24×C3×C5—21no—
44C23×C3×D5—28no—
45C23×C3×D5—21no—
46C23×C3×D5—24no—
47C23×C3×D5—21no—
48C23×C3×D5—44no—
49C23×C3×D5—44no—
50C23×C3×D5D411yescharacteristic
51C2×C3×C5×D4—21no—
52C2×C3×C5×D4—22no—
53C2×C3×C5×D4D414yescomplemented
54C2×C3×C5×D4C2312yes—
55C22×C3×C4×C5—21no—
56C22×C3×C4×C5C2311yescharacteristic
57C2×C3×C22⋊D5—28no—
58C2×C3×C22⋊D5—24no—
59C22×C3×Dic5D411yescharacteristic
60C3×D4×D5—216no—
61C3×D4×D5—28no—
62C3×D4×D5—28no—
63C2×C3×D20—21no—
64C2×C3×D20—22no—
65C2×C3×D20—22no—
66C2×C3×D20—22no—
67C2×C3×D20—24no—
68C2×C3×D20—21no—
69C2×C3×D20—44no—
70C2×C3×D20D414yescomplemented
71C2×C3×D20C2312yes—
72C2×C3×D20C2312yescomplemented
73C2×C3×C4×D5—22no—
74C2×C3×C4×D5—22no—
75C2×C3×C4×D5D412yes—
76C2×C3×C4×D5C2312yes—
77C2×C3×C5×C8—22no—
78C2×C3×C5×C8C2312yescomplemented
79C3×C5×C4⋊C4—21no—
80C3×C5×C4⋊C4C2312yescomplemented
81C3×#686—28no—
82C3×#685—24no—
83C2×C3×#168—22no—
84C2×C3×#168C2312yescomplemented
85C3×D40—28no—
86C23×C3×D4—51no—
87C22×C3×D8—51no—
88C22×C3×D8—51no—
89C2×C3×#121—51no—
90C3×#447—58no—
91C2×C3×#102—51no—
92C2×C3×#102D511yescharacteristic, complemented
93C2×C3×C22⋊C8—51no—
94C24×D5—21no—
95C22×C5×D4C22×C311yescharacteristic
96C22×C22⋊D5—21no—
97C2×D4×D5—24no—
98C2×D4×D5—24no—
99C2×D4×D5—22no—
100C2×D4×D5C22×C314yescomplemented
101C22×D20—21no—
102C22×D20C22×C311yescharacteristic
103C22×D20C22×C311yescharacteristic, complemented
104C22×C4×D5C22×C311yescharacteristic
105C22×C5×C8C22×C311yescharacteristic, complemented
106C2×C5×C4⋊C4C22×C311yescharacteristic, complemented
107C2×#686—24no—
108C2×#686C22×C314yescomplemented
109C2×#685—21no—
110C22×#168C22×C311yescharacteristic, complemented
111C2×D40—24no—
112C2×D40C22×C314yescomplemented
113#4041—22no—
114#4041C22×C314yescomplemented
115C5×#102C22×C314yescomplemented
116#3952C22×C314yescomplemented
117#3941C22×C314yescomplemented
118C2×#447—51noSylow
119C23×C3×C5—24no—
120C23×C3×C5—22no—
121C23×C3×C5—42no—
122C23×C3×C5—42no—
123C23×C3×C5C2×D411yescharacteristic
124C22×C3×D5—22no—
125C22×C3×D5—22no—
126C22×C3×D5—216no—
127C22×C3×D5—24no—
128C22×C3×D5—22no—
129C22×C3×D5—22no—
130C22×C3×D5—48no—
131C22×C3×D5—432no—
132C22×C3×D5—42no—
133C22×C3×D5—42no—
134C22×C3×D5—48no—
135C22×C3×D5—42no—
136C22×C3×D5—42no—
137C22×C3×D5—42no—
138C22×C3×D5D814yescomplemented
139C22×C3×D5C2×D412yes—
140C3×C5×D4—24no—
141C3×C5×D4—22no—
142C3×C5×D4C2×D414yescomplemented
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5—42no—
145C2×C3×C4×C5C2×D411yescharacteristic
146C2×C3×C4×C5C2×D412yes—
147C2×C3×C4×C5C2×D412yes—
148C2×C3×C4×C5C2411yescharacteristic
149C3×C22⋊D5—216no—
150C2×C3×Dic5—22no—
151C2×C3×Dic5C2×D412yes—
152C3×D20—24no—
153C3×D20—22no—
154C3×D20—22no—
155C3×D20—22no—
156C3×D20—48no—
157C3×D20—42no—
158C3×D20C2×D414yescomplemented
159C3×C4×D5—24no—
160C3×C4×D5—22no—
161C3×C4×D5—22no—
162C3×C5×C8—22no—
163C3×#168—22no—
164C25×C3—101no—
165C22×C3×D4—54no—
166C22×C3×D4—51no—
167C22×C3×D4—51no—
168C22×C3×D4—101no—
169C22×C3×D4—102no—
170C22×C3×D4—101no—
171C22×C3×D4—104no—
172C22×C3×D4—104no—
173C22×C3×D4C2×D511yescharacteristic
174C23×C3×C4—51no—
175C2×C3×D8—54no—
176C2×C3×D8—54no—
177C2×C3×D8—104no—
178C2×C3×D8—104no—
179C22×C3×C8—51no—
180C22×C3×C8C2×D511yescharacteristic, complemented
181C3×#121—54no—
182C3×#121—102no—
183C2×C3×C4⋊C4C2×D511yescharacteristic, complemented
184C2×C3×C22⋊C4—101no—
185C3×#102—54no—
186C3×#102C2×D514yescomplemented
187C3×C22⋊C8—54no—
188C24×C5—21no—
189C23×D5—28no—
190C23×D5—21no—
191C23×D5—24no—
192C23×D5—21no—
193C23×D5—44no—
194C23×D5—44no—
195C23×D5C3×D411yescharacteristic
196C2×C5×D4—21no—
197C2×C5×D4—22no—
198C2×C5×D4C3×D414yescomplemented
199C2×C5×D4C23×C312yes—
200C22×C4×C5—21no—
201C22×C4×C5C23×C311yescharacteristic
202C2×C22⋊D5—28no—
203C2×C22⋊D5—24no—
204C22×Dic5C3×D411yescharacteristic
205D4×D5—216no—
206D4×D5—28no—
207D4×D5—28no—
208C2×D20—22no—
209C2×D20—21no—
210C2×D20—22no—
211C2×D20—22no—
212C2×D20—24no—
213C2×D20—21no—
214C2×D20—44no—
215C2×D20C3×D414yescomplemented
216C2×D20C23×C312yes—
217C2×D20C23×C312yescomplemented
218C2×C4×D5—22no—
219C2×C4×D5—22no—
220C2×C4×D5C3×D412yes—
221C2×C4×D5C23×C312yes—
222C2×C5×C8—22no—
223C2×C5×C8C23×C312yescomplemented
224C5×C4⋊C4—21no—
225C5×C4⋊C4C23×C312yescomplemented
226#686—28no—
227#685—24no—
228C2×#168—22no—
229C2×#168C23×C312yescomplemented
230D40—28no—
231C23×D4—51no—
232C22×D8—51no—
233C22×D8—51no—
234C2×#121—51no—
235#447—58no—
236C2×#102—51no—
237C2×#102C3×D511yescharacteristic, complemented
238C2×C22⋊C8—51no—
239C22×C3×C5—24no—
240C22×C3×C5—42no—
241C22×C3×C5—42no—
242C22×C3×C5—48no—
243C22×C3×C5#12012yes—
244C22×C3×C5C2×D812yes—
245C22×C3×C5AGL(1,ℤ/8)12yes—
246C22×C3×C5C22×D411yescharacteristic
247C2×C3×D5—22no—
248C2×C3×D5—22no—
249C2×C3×D5—28no—
250C2×C3×D5—24no—
251C2×C3×D5—432no—
252C2×C3×D5—42no—
253C2×C3×D5—42no—
254C2×C3×D5—48no—
255C2×C3×D5—42no—
256C2×C3×D5—42no—
257C2×C3×D5—42no—
258C2×C3×D5—84no—
259C2×C3×D5C2×D814yescomplemented
260C3×C4×C5—42no—
261C3×C4×C5#12012yes—
262C3×C4×C5C22×D411yescharacteristic
263C3×C4×C5C22×D411yescharacteristic
264C3×Dic5—22no—
265C24×C3—21no—
266C24×C3—51no—
267C24×C3—104no—
268C24×C3—108no—
269C24×C3—101no—
270C24×C3—101no—
271C24×C3—204no—
272C24×C3—204no—
273C2×C3×D4—22no—
274C2×C3×D4—21no—
275C2×C3×D4—54no—
276C2×C3×D4—52no—
277C2×C3×D4—52no—
278C2×C3×D4—104no—
279C2×C3×D4—104no—
280C2×C3×D4—108no—
281C2×C3×D4—1016no—
282C2×C3×D4—108no—
283C2×C3×D4—108no—
284C2×C3×D4—102no—
285C2×C3×D4—102no—
286C2×C3×D4—101no—
287C2×C3×D4—102no—
288C2×C3×D4—101no—
289C2×C3×D4—204no—
290C2×C3×D4D2014yescomplemented
291C2×C3×D4C22×D512yes—
292C22×C3×C4—21no—
293C22×C3×C4—51no—
294C22×C3×C4—52no—
295C22×C3×C4—52no—
296C22×C3×C4—102no—
297C22×C3×C4—102no—
298C22×C3×C4C22×D511yescharacteristic
299C3×D8—108no—
300C3×D8—108no—
301C2×C3×C8—22no—
302C2×C3×C8—52no—
303C2×C3×C8—102no—
304C2×C3×C8C22×D512yescomplemented
305C3×C4⋊C4—21no—
306C3×C4⋊C4C22×D512yescomplemented
307C3×C22⋊C4—104no—
308C23×C5—24no—
309C23×C5—22no—
310C23×C5—42no—
311C23×C5—42no—
312C23×C5C2×C3×D411yescharacteristic
313C22×D5—22no—
314C22×D5—22no—
315C22×D5—216no—
316C22×D5—24no—
317C22×D5—22no—
318C22×D5—22no—
319C22×D5—48no—
320C22×D5—432no—
321C22×D5—42no—
322C22×D5—42no—
323C22×D5—48no—
324C22×D5—42no—
325C22×D5—42no—
326C22×D5—42no—
327C22×D5C3×D814yescomplemented
328C22×D5C2×C3×D412yes—
329C5×D4—24no—
330C5×D4—22no—
331C5×D4C2×C3×D414yescomplemented
332C2×C4×C5—22no—
333C2×C4×C5—42no—
334C2×C4×C5C2×C3×D412yes—
335C2×C4×C5C2×C3×D411yescharacteristic
336C2×C4×C5C2×C3×D412yes—
337C2×C4×C5C24×C311yescharacteristic
338C22⋊D5—216no—
339C2×Dic5—22no—
340C2×Dic5C2×C3×D412yes—
341D20—24no—
342D20—22no—
343D20—22no—
344D20—22no—
345D20—48no—
346D20—42no—
347D20C2×C3×D414yescomplemented
348C4×D5—24no—
349C4×D5—22no—
350C4×D5—22no—
351C5×C8—22no—
352#168—22no—
353C25—101no—
354C22×D4—54no—
355C22×D4—51no—
356C22×D4—51no—
357C22×D4—101no—
358C22×D4—102no—
359C22×D4—101no—
360C22×D4—104no—
361C22×D4—104no—
362C22×D4C2×C3×D511yescharacteristic
363C23×C4—51no—
364C2×D8—54no—
365C2×D8—54no—
366C2×D8—104no—
367C2×D8—104no—
368C22×C8—51no—
369C22×C8C2×C3×D511yescharacteristic, complemented
370#121—54no—
371#121—102no—
372C2×C4⋊C4C2×C3×D511yescharacteristic, complemented
373C2×C22⋊C4—101no—
374#102—54no—
375#102C2×C3×D514yescomplemented
376C22⋊C8—54no—
377C2×C3×C5—44no—
378C2×C3×C5#44714yescomplemented
379C2×C3×C5C2×#12011yescharacteristic
380C2×C3×C5C22×D811yescharacteristic
381C2×C3×C5C2×AGL(1,ℤ/8)11yescharacteristic
382C3×D5—24no—
383C3×D5—44no—
384C3×D5—82no—
385C23×C3—22no—
386C23×C3—24no—
387C23×C3—42no—
388C23×C3—42no—
389C23×C3—52no—
390C23×C3—54no—
391C23×C3—1016no—
392C23×C3—102no—
393C23×C3—102no—
394C23×C3—102no—
395C23×C3—104no—
396C23×C3—102no—
397C23×C3—208no—
398C23×C3—2032no—
399C23×C3—208no—
400C23×C3—202no—
401C23×C3—202no—
402C23×C3—202no—
403C23×C3—202no—
404C23×C3—202no—
405C23×C3D4×D511yescharacteristic
406C3×D4—22no—
407C3×D4—24no—
408C3×D4—54no—
409C3×D4—1016no—
410C3×D4—102no—
411C3×D4—102no—
412C3×D4—102no—
413C3×D4—104no—
414C3×D4—208no—
415C3×D4—202no—
416C3×D4C2×D2014yescomplemented
417C2×C3×C4—22no—
418C2×C3×C4—42no—
419C2×C3×C4—52no—
420C2×C3×C4—102no—
421C2×C3×C4—102no—
422C2×C3×C4—102no—
423C2×C3×C4—104no—
424C2×C3×C4C2×D2012yes—
425C2×C3×C4D4×D512yes—
426C2×C3×C4D4×D511yescharacteristic
427C2×C3×C4C23×D511yescharacteristic
428C3×C8—22no—
429C3×C8—102no—
430C22×C5—24no—
431C22×C5—42no—
432C22×C5—42no—
433C22×C5—48no—
434C22×C5C3×#12012yes—
435C22×C5C2×C3×D812yes—
436C22×C5C3×AGL(1,ℤ/8)12yes—
437C22×C5C22×C3×D411yescharacteristic
438C2×D5—22no—
439C2×D5—28no—
440C2×D5—22no—
441C2×D5—24no—
442C2×D5—432no—
443C2×D5—42no—
444C2×D5—42no—
445C2×D5—48no—
446C2×D5—42no—
447C2×D5—42no—
448C2×D5—42no—
449C2×D5—84no—
450C2×D5C2×C3×D814yescomplemented
451C4×C5—42no—
452C4×C5C3×#12012yes—
453C4×C5C22×C3×D411yescharacteristic
454C4×C5C22×C3×D411yescharacteristic
455Dic5—22no—
456C24—21no—
457C24—51no—
458C24—104no—
459C24—108no—
460C24—101no—
461C24—101no—
462C24—204no—
463C24—204no—
464C2×D4—22no—
465C2×D4—21no—
466C2×D4—54no—
467C2×D4—52no—
468C2×D4—52no—
469C2×D4—104no—
470C2×D4—104no—
471C2×D4—108no—
472C2×D4—1016no—
473C2×D4—108no—
474C2×D4—108no—
475C2×D4—102no—
476C2×D4—102no—
477C2×D4—101no—
478C2×D4—102no—
479C2×D4—101no—
480C2×D4—204no—
481C2×D4C3×D2014yescomplemented
482C2×D4C22×C3×D512yes—
483C22×C4—21no—
484C22×C4—51no—
485C22×C4—52no—
486C22×C4—52no—
487C22×C4—102no—
488C22×C4—102no—
489C22×C4C22×C3×D511yescharacteristic
490D8—108no—
491D8—108no—
492C2×C8—22no—
493C2×C8—52no—
494C2×C8—102no—
495C2×C8C22×C3×D512yescomplemented
496C4⋊C4—21no—
497C4⋊C4C22×C3×D512yescomplemented
498C22⋊C4—104no—
499C3×C5C2×#44711yescharacteristic, complemented, Hall
500C22×C3—24no—
501C22×C3—48no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—54no—
505C22×C3—102no—
506C22×C3—108no—
507C22×C3—102no—
508C22×C3—104no—
509C22×C3—2032no—
510C22×C3—208no—
511C22×C3—202no—
512C22×C3—202no—
513C22×C3—202no—
514C22×C3—202no—
515C22×C3—202no—
516C22×C3—404no—
517C22×C3#402812yes—
518C22×C3D5×D812yes—
519C22×C3#406012yes—
520C22×C3C2×D4×D511yescharacteristic
521C3×C4—42no—
522C3×C4—102no—
523C3×C4#402812yes—
524C3×C4C22×D2011yescharacteristic
525C3×C4C2×D4×D511yescharacteristic
526C2×C5—44no—
527C2×C5C3×#44714yescomplemented
528C2×C5C2×C3×#12011yescharacteristic
529C2×C5C22×C3×D811yescharacteristic
530C2×C5C2×C3×AGL(1,ℤ/8)11yescharacteristic
531D5—24no—
532D5—44no—
533D5—82no—
534C23—22no—
535C23—24no—
536C23—42no—
537C23—42no—
538C23—52no—
539C23—54no—
540C23—1016no—
541C23—102no—
542C23—102no—
543C23—102no—
544C23—104no—
545C23—102no—
546C23—208no—
547C23—2032no—
548C23—208no—
549C23—202no—
550C23—202no—
551C23—202no—
552C23—202no—
553C23—202no—
554C23C3×D4×D511yescharacteristic
555D4—22no—
556D4—24no—
557D4—54no—
558D4—1016no—
559D4—102no—
560D4—102no—
561D4—102no—
562D4—104no—
563D4—208no—
564D4—202no—
565D4C2×C3×D2014yescomplemented
566C2×C4—22no—
567C2×C4—42no—
568C2×C4—52no—
569C2×C4—102no—
570C2×C4—102no—
571C2×C4—102no—
572C2×C4—104no—
573C2×C4C2×C3×D2012yes—
574C2×C4C3×D4×D512yes—
575C2×C4C3×D4×D511yescharacteristic
576C2×C4C23×C3×D511yescharacteristic
577C8—22no—
578C8—102no—
579C2×C3—44no—
580C2×C3—104no—
581C2×C3—204no—
582C2×C3—402no—
583C2×C3#6506214yesdirect product factor
584C2×C3C2×#402811yescharacteristic
585C2×C3C2×D5×D811yescharacteristic
586C2×C3C2×#406011yescharacteristic
587C5C2×C3×#44711yescharacteristic, complemented, Sylow
588C22—24no—
589C22—48no—
590C22—42no—
591C22—42no—
592C22—54no—
593C22—108no—
594C22—102no—
595C22—102no—
596C22—104no—
597C22—2032no—
598C22—208no—
599C22—202no—
600C22—202no—
601C22—202no—
602C22—202no—
603C22—202no—
604C22—404no—
605C22C3×#402812yes—
606C22C3×D5×D812yes—
607C22C3×#406012yes—
608C22C2×C3×D4×D511yescharacteristic
609C4—42no—
610C4—102no—
611C4C3×#402812yes—
612C4C22×C3×D2011yescharacteristic
613C4C2×C3×D4×D511yescharacteristic
614C3C2×#6506211yescharacteristic, direct product factor, Sylow
615C2—44no—
616C2—104no—
617C2—204no—
618C2—402no—
619C2C3×#6506214yesdirect product factor
620C2C2×C3×#402811yescharacteristic
621C2C2×C3×D5×D811yescharacteristic
622C2C2×C3×#406011yescharacteristic
subgroupG/H
centerC23×C3D4×D5
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC2×C3×C5×#102C2
socleC23×C3×C5C2×D4
hypercenterC2×C3×#102D5
hypocenterC5C2×C3×#447
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C22×C3×C4 ◁ C2×C3×#102

Complements

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

NH ≅ G/Ntype
1. C22×C3×D4×D5C2semidirect
2. C22×C3×#686C2semidirect
3. C22×C3×D40C2semidirect
4. C2×C3×#4041C2semidirect
5. C2×C3×C5×#102C2semidirect
6. C2×C3×#3952C2semidirect
7. C2×C3×#3941C2semidirect
8. C3×#65062C2direct (N × H)
9. C2×#65062C3direct (N × H)
16. C2×C3×D4×D5C22semidirect
19. C22×C3×D20C22semidirect
21. C22×C3×C5×C8C22semidirect
22. C2×C3×C5×C4⋊C4C22semidirect
24. C2×C3×#686C22semidirect
26. C22×C3×#168C22semidirect
28. C2×C3×D40C22semidirect
30. C3×#4041C22semidirect
31. C3×C5×#102C22semidirect
32. C3×#3952C22semidirect
33. C3×#3941C22semidirect
35. C22×D4×D5C2×C3semidirect
36. C22×#686C2×C3semidirect
37. C22×D40C2×C3semidirect
38. C2×#4041C2×C3semidirect
39. C2×C5×#102C2×C3semidirect
40. C2×#3952C2×C3semidirect
41. C2×#3941C2×C3semidirect
42. #65062C2×C3direct (N × H)
53. C2×C3×C5×D4D4semidirect
70. C2×C3×D20D4semidirect
72. C2×C3×D20C23semidirect
78. C2×C3×C5×C8C23semidirect
80. C3×C5×C4⋊C4C23semidirect
84. C2×C3×#168C23semidirect
92. C2×C3×#102D5semidirect
100. C2×D4×D5C22×C3semidirect
103. C22×D20C22×C3semidirect
105. C22×C5×C8C22×C3semidirect
106. C2×C5×C4⋊C4C22×C3semidirect
108. C2×#686C22×C3semidirect
110. C22×#168C22×C3semidirect
112. C2×D40C22×C3semidirect
114. #4041C22×C3semidirect
115. C5×#102C22×C3semidirect
116. #3952C22×C3semidirect
117. #3941C22×C3semidirect
138. C22×C3×D5D8semidirect
142. C3×C5×D4C2×D4semidirect
158. C3×D20C2×D4semidirect
180. C22×C3×C8C2×D5semidirect
183. C2×C3×C4⋊C4C2×D5semidirect
186. C3×#102C2×D5semidirect
198. C2×C5×D4C3×D4semidirect
215. C2×D20C3×D4semidirect
217. C2×D20C23×C3semidirect
223. C2×C5×C8C23×C3semidirect
225. C5×C4⋊C4C23×C3semidirect
229. C2×#168C23×C3semidirect
237. C2×#102C3×D5semidirect
259. C2×C3×D5C2×D8semidirect
290. C2×C3×D4D20semidirect
304. C2×C3×C8C22×D5semidirect
306. C3×C4⋊C4C22×D5semidirect
327. C22×D5C3×D8semidirect
331. C5×D4C2×C3×D4semidirect
347. D20C2×C3×D4semidirect
369. C22×C8C2×C3×D5semidirect
372. C2×C4⋊C4C2×C3×D5semidirect
375. #102C2×C3×D5semidirect
378. C2×C3×C5#447semidirect
416. C3×D4C2×D20semidirect
450. C2×D5C2×C3×D8semidirect
481. C2×D4C3×D20semidirect
495. C2×C8C22×C3×D5semidirect
497. C4⋊C4C22×C3×D5semidirect
499. C3×C5C2×#447semidirect
527. C2×C5C3×#447semidirect
565. D4C2×C3×D20semidirect
583. C2×C3#65062direct (N × H)
587. C5C2×C3×#447semidirect
614. C3C2×#65062direct (N × H)
619. C2C3×#65062direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×D4×D52
C22×C3×#6862
C22×C3×D402
C2×C3×#40412
C2×C3×C5×#1022
C2×C3×#39522
C2×C3×#39412
C3×#650622
C2×#650623
C2×C3×#4475