Finite Group Databasebeta

← C2×C3×#65445 #14423176

Subgroups — C2×C3×#65445 #14423176

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×C5×D8C211yesmaximal, characteristic, complemented
3C2×C3×#4084C211yesmaximal, characteristic, complemented
4C22×C3×#686C211yesmaximal, characteristic, complemented
5C2×C3×#3964C211yesmaximal, characteristic, complemented
6C3×#65445C218yesmaximal, direct product factor
7C2×C3×#3953C211yesmaximal, characteristic, complemented
8C2×C3×#3952C211yesmaximal, characteristic, complemented
9C2×#65445C311yesmaximal, characteristic, direct product factor, Hall
10C24×C3×D5—21no—
11C22×C3×C5×D4C2211yescharacteristic
12C22×C3×C5×D4C2211yescharacteristic, complemented
13C22×C3×C22⋊D5—21no—
14C22×C3×C22⋊D5—21no—
15C2×C3×D4×D5—24no—
16C2×C3×D4×D5—24no—
17C2×C3×D4×D5—22no—
18C2×C3×D4×D5C2214yescomplemented
19C22×C3×D20C2211yescharacteristic
20C22×C3×C4×D5C2211yescharacteristic
21C2×C3×C5×D8—24no—
22C2×C3×C5×D8C2214yescomplemented
23C22×C3×C5×C8C2211yescharacteristic, complemented
24C2×C3×C22⋊Dic5—21no—
25C3×#4084—22no—
26C3×#4084C2214yescomplemented
27C2×C3×#686—24no—
28C2×C3×#686C2214yescomplemented
29C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
30C22×C3×#168C2211yescharacteristic, complemented
31C3×#3964C2214yescomplemented
32C3×#3953C2214yescomplemented
33C3×#3952C2214yescomplemented
34C2×C3×#447—51nomaximal, Hall
35C22×D4×D5C2×C311yescharacteristic, complemented
36C22×C5×D8C2×C311yescharacteristic, complemented
37C2×#4084C2×C311yescharacteristic, complemented
38C22×#686C2×C311yescharacteristic, complemented
39C2×#3964C2×C311yescharacteristic, complemented
40#65445C2×C318yesdirect product factor
41C2×#3953C2×C311yescharacteristic, complemented
42C2×#3952C2×C311yescharacteristic, complemented
43C24×C3×C5—21no—
44C24×C3×C5—21no—
45C23×C3×D5—28no—
46C23×C3×D5—21no—
47C23×C3×D5—24no—
48C23×C3×D5—44no—
49C23×C3×D5—44no—
50C23×C3×D5D411yescharacteristic
51C2×C3×C5×D4—21no—
52C2×C3×C5×D4—22no—
53C2×C3×C5×D4—22no—
54C2×C3×C5×D4—22no—
55C2×C3×C5×D4—21no—
56C2×C3×C5×D4D414yescomplemented
57C2×C3×C5×D4C2312yes—
58C2×C3×C5×D4C2312yescomplemented
59C22×C3×C4×C5C2311yescharacteristic
60C2×C3×C22⋊D5—28no—
61C2×C3×C22⋊D5—24no—
62C2×C3×C22⋊D5—24no—
63C2×C3×C22⋊D5—44no—
64C22×C3×Dic5—21no—
65C22×C3×Dic5D411yescharacteristic
66C3×D4×D5—216no—
67C3×D4×D5—28no—
68C3×D4×D5—28no—
69C2×C3×D20—21no—
70C2×C3×D20—22no—
71C2×C3×D20D414yescomplemented
72C2×C3×D20C2312yes—
73C2×C3×C4×D5—22no—
74C2×C3×C4×D5—22no—
75C2×C3×C4×D5D412yes—
76C2×C3×C4×D5C2312yes—
77C3×C5×D8—28no—
78C2×C3×C5×C8—22no—
79C2×C3×C5×C8C2312yescomplemented
80C3×C22⋊Dic5—24no—
81C3×#686—28no—
82C3×C4⋊Dic5—21no—
83C3×C4⋊Dic5C2312yescomplemented
84C2×C3×#168—22no—
85C2×C3×#168C2312yescomplemented
86C23×C3×D4—51no—
87C22×C3×D8—51no—
88C22×C3×D8D511yescharacteristic, complemented
89C2×C3×#121—51no—
90C3×#447—58no—
91C2×C3×#102—51no—
92C2×C3×#102—51no—
93C2×C3×C22⋊C8—51no—
94C24×D5—21no—
95C22×C5×D4C22×C311yescharacteristic
96C22×C5×D4C22×C311yescharacteristic, complemented
97C22×C22⋊D5—21no—
98C22×C22⋊D5—21no—
99C2×D4×D5—24no—
100C2×D4×D5—24no—
101C2×D4×D5—22no—
102C2×D4×D5C22×C314yescomplemented
103C22×D20C22×C311yescharacteristic
104C22×C4×D5C22×C311yescharacteristic
105C2×C5×D8—24no—
106C2×C5×D8C22×C314yescomplemented
107C22×C5×C8C22×C311yescharacteristic, complemented
108C2×C22⋊Dic5—21no—
109#4084—22no—
110#4084C22×C314yescomplemented
111C2×#686—24no—
112C2×#686C22×C314yescomplemented
113C2×C4⋊Dic5C22×C311yescharacteristic, complemented
114C22×#168C22×C311yescharacteristic, complemented
115#3964C22×C314yescomplemented
116#3953C22×C314yescomplemented
117#3952C22×C314yescomplemented
118C2×#447—51noSylow
119C23×C3×C5—24no—
120C23×C3×C5—22no—
121C23×C3×C5—22no—
122C23×C3×C5—42no—
123C23×C3×C5—42no—
124C23×C3×C5—42no—
125C23×C3×C5—42no—
126C23×C3×C5—42no—
127C23×C3×C5C2×D411yescharacteristic
128C22×C3×D5—22no—
129C22×C3×D5—22no—
130C22×C3×D5—216no—
131C22×C3×D5—24no—
132C22×C3×D5—22no—
133C22×C3×D5—48no—
134C22×C3×D5—432no—
135C22×C3×D5—42no—
136C22×C3×D5—42no—
137C22×C3×D5—48no—
138C22×C3×D5D814yescomplemented
139C22×C3×D5C2×D412yes—
140C3×C5×D4—24no—
141C3×C5×D4—22no—
142C3×C5×D4—22no—
143C3×C5×D4—22no—
144C3×C5×D4—42no—
145C3×C5×D4C2×D414yescomplemented
146C2×C3×C4×C5C2×D411yescharacteristic
147C2×C3×C4×C5C2×D412yes—
148C2×C3×C4×C5C2×D412yes—
149C2×C3×C4×C5C2411yescharacteristic
150C3×C22⋊D5—216no—
151C3×C22⋊D5—48no—
152C2×C3×Dic5—22no—
153C2×C3×Dic5—22no—
154C2×C3×Dic5—42no—
155C2×C3×Dic5C2×D412yes—
156C3×D20—24no—
157C3×D20—22no—
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—102no—
168C22×C3×D4—101no—
169C22×C3×D4—104no—
170C22×C3×D4—104no—
171C22×C3×D4—101no—
172C22×C3×D4C2×D511yescharacteristic
173C22×C3×D4C2×D511yescharacteristic, complemented
174C23×C3×C4—51no—
175C2×C3×D8—24no—
176C2×C3×D8—54no—
177C2×C3×D8—104no—
178C2×C3×D8C2×D514yescomplemented
179C22×C3×C8—51no—
180C22×C3×C8C2×D511yescharacteristic, complemented
181C3×#121—54no—
182C3×#121—102no—
183C2×C3×C4⋊C4—51no—
184C2×C3×C22⋊C4—101no—
185C3×#102—54no—
186C3×#102—54no—
187C3×C22⋊C8—54no—
188C24×C5—21no—
189C24×C5—21no—
190C23×D5—28no—
191C23×D5—21no—
192C23×D5—24no—
193C23×D5—44no—
194C23×D5—44no—
195C23×D5C3×D411yescharacteristic
196C2×C5×D4—21no—
197C2×C5×D4—22no—
198C2×C5×D4—22no—
199C2×C5×D4—22no—
200C2×C5×D4—21no—
201C2×C5×D4C3×D414yescomplemented
202C2×C5×D4C23×C312yes—
203C2×C5×D4C23×C312yescomplemented
204C22×C4×C5C23×C311yescharacteristic
205C2×C22⋊D5—28no—
206C2×C22⋊D5—24no—
207C2×C22⋊D5—24no—
208C2×C22⋊D5—44no—
209C22×Dic5—21no—
210C22×Dic5C3×D411yescharacteristic
211D4×D5—216no—
212D4×D5—28no—
213D4×D5—28no—
214C2×D20—21no—
215C2×D20—22no—
216C2×D20C3×D414yescomplemented
217C2×D20C23×C312yes—
218C2×C4×D5—22no—
219C2×C4×D5—22no—
220C2×C4×D5C3×D412yes—
221C2×C4×D5C23×C312yes—
222C5×D8—28no—
223C2×C5×C8—22no—
224C2×C5×C8C23×C312yescomplemented
225C22⋊Dic5—24no—
226#686—28no—
227C4⋊Dic5—21no—
228C4⋊Dic5C23×C312yescomplemented
229C2×#168—22no—
230C2×#168C23×C312yescomplemented
231C23×D4—51no—
232C22×D8—51no—
233C22×D8C3×D511yescharacteristic, complemented
234C2×#121—51no—
235#447—58no—
236C2×#102—51no—
237C2×#102—51no—
238C2×C22⋊C8—51no—
239C22×C3×C5—24no—
240C22×C3×C5—42no—
241C22×C3×C5—42no—
242C22×C3×C5—48no—
243C22×C3×C5—42no—
244C22×C3×C5—42no—
245C22×C3×C5—42no—
246C22×C3×C5—84no—
247C22×C3×C5#12012yes—
248C22×C3×C5C2×D812yes—
249C22×C3×C5AGL(1,ℤ/8)12yes—
250C22×C3×C5C22×D411yescharacteristic
251C2×C3×D5—22no—
252C2×C3×D5—22no—
253C2×C3×D5—28no—
254C2×C3×D5—24no—
255C2×C3×D5—432no—
256C2×C3×D5—42no—
257C2×C3×D5—42no—
258C2×C3×D5—48no—
259C2×C3×D5C2×D814yescomplemented
260C3×C4×C5#12012yes—
261C3×C4×C5C22×D411yescharacteristic
262C3×C4×C5C22×D411yescharacteristic
263C3×Dic5—22no—
264C3×Dic5—42no—
265C24×C3—21no—
266C24×C3—21no—
267C24×C3—51no—
268C24×C3—104no—
269C24×C3—108no—
270C24×C3—101no—
271C24×C3—204no—
272C24×C3—204no—
273C2×C3×D4—22no—
274C2×C3×D4—21no—
275C2×C3×D4—22no—
276C2×C3×D4—21no—
277C2×C3×D4—22no—
278C2×C3×D4—54no—
279C2×C3×D4—52no—
280C2×C3×D4—104no—
281C2×C3×D4—108no—
282C2×C3×D4—1016no—
283C2×C3×D4—108no—
284C2×C3×D4—108no—
285C2×C3×D4—104no—
286C2×C3×D4—101no—
287C2×C3×D4—102no—
288C2×C3×D4—204no—
289C2×C3×D4C22⋊D514yescomplemented
290C2×C3×D4C22×D512yes—
291C2×C3×D4C22×D512yescomplemented
292C22×C3×C4—51no—
293C22×C3×C4—52no—
294C22×C3×C4—52no—
295C22×C3×C4—102no—
296C22×C3×C4—102no—
297C22×C3×C4—101no—
298C22×C3×C4C22×D511yescharacteristic
299C3×D8—28no—
300C3×D8—108no—
301C2×C3×C8—22no—
302C2×C3×C8—52no—
303C2×C3×C8—102no—
304C2×C3×C8C22×D512yescomplemented
305C3×C4⋊C4—52no—
306C3×C4⋊C4—101no—
307C3×C22⋊C4—104no—
308C23×C5—24no—
309C23×C5—22no—
310C23×C5—22no—
311C23×C5—42no—
312C23×C5—42no—
313C23×C5—42no—
314C23×C5—42no—
315C23×C5—42no—
316C23×C5C2×C3×D411yescharacteristic
317C22×D5—22no—
318C22×D5—22no—
319C22×D5—216no—
320C22×D5—24no—
321C22×D5—22no—
322C22×D5—48no—
323C22×D5—432no—
324C22×D5—42no—
325C22×D5—42no—
326C22×D5—48no—
327C22×D5C3×D814yescomplemented
328C22×D5C2×C3×D412yes—
329C5×D4—24no—
330C5×D4—22no—
331C5×D4—22no—
332C5×D4—22no—
333C5×D4—42no—
334C5×D4C2×C3×D414yescomplemented
335C2×C4×C5C2×C3×D411yescharacteristic
336C2×C4×C5C2×C3×D412yes—
337C2×C4×C5C2×C3×D412yes—
338C2×C4×C5C24×C311yescharacteristic
339C22⋊D5—216no—
340C22⋊D5—48no—
341C2×Dic5—22no—
342C2×Dic5—22no—
343C2×Dic5—42no—
344C2×Dic5C2×C3×D412yes—
345D20—24no—
346D20—22no—
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—102no—
357C22×D4—101no—
358C22×D4—104no—
359C22×D4—104no—
360C22×D4—101no—
361C22×D4C2×C3×D511yescharacteristic
362C22×D4C2×C3×D511yescharacteristic, complemented
363C23×C4—51no—
364C2×D8—24no—
365C2×D8—54no—
366C2×D8—104no—
367C2×D8C2×C3×D514yescomplemented
368C22×C8—51no—
369C22×C8C2×C3×D511yescharacteristic, complemented
370#121—54no—
371#121—102no—
372C2×C4⋊C4—51no—
373C2×C22⋊C4—101no—
374#102—54no—
375#102—54no—
376C22⋊C8—54no—
377C2×C3×C5—44no—
378C2×C3×C5—82no—
379C2×C3×C5#44714yescomplemented
380C2×C3×C5C2×#12011yescharacteristic
381C2×C3×C5C22×D811yescharacteristic
382C2×C3×C5C2×AGL(1,ℤ/8)11yescharacteristic
383C3×D5—24no—
384C3×D5—44no—
385C23×C3—22no—
386C23×C3—24no—
387C23×C3—22no—
388C23×C3—42no—
389C23×C3—42no—
390C23×C3—42no—
391C23×C3—42no—
392C23×C3—42no—
393C23×C3—52no—
394C23×C3—54no—
395C23×C3—1016no—
396C23×C3—102no—
397C23×C3—102no—
398C23×C3—102no—
399C23×C3—104no—
400C23×C3—208no—
401C23×C3—208no—
402C23×C3—2032no—
403C23×C3—202no—
404C23×C3—202no—
405C23×C3D4×D511yescharacteristic
406C3×D4—22no—
407C3×D4—22no—
408C3×D4—22no—
409C3×D4—24no—
410C3×D4—42no—
411C3×D4—54no—
412C3×D4—1016no—
413C3×D4—102no—
414C3×D4—104no—
415C3×D4—208no—
416C3×D4C2×C22⋊D514yescomplemented
417C2×C3×C4—52no—
418C2×C3×C4—102no—
419C2×C3×C4—102no—
420C2×C3×C4—102no—
421C2×C3×C4—104no—
422C2×C3×C4—102no—
423C2×C3×C4—202no—
424C2×C3×C4D4×D512yes—
425C2×C3×C4D4×D511yescharacteristic
426C2×C3×C4C2×C22⋊D512yes—
427C2×C3×C4C23×D511yescharacteristic
428C3×C8—22no—
429C3×C8—102no—
430C22×C5—24no—
431C22×C5—42no—
432C22×C5—42no—
433C22×C5—48no—
434C22×C5—42no—
435C22×C5—42no—
436C22×C5—42no—
437C22×C5—84no—
438C22×C5C3×#12012yes—
439C22×C5C2×C3×D812yes—
440C22×C5C3×AGL(1,ℤ/8)12yes—
441C22×C5C22×C3×D411yescharacteristic
442C2×D5—22no—
443C2×D5—28no—
444C2×D5—22no—
445C2×D5—24no—
446C2×D5—432no—
447C2×D5—42no—
448C2×D5—42no—
449C2×D5—48no—
450C2×D5C2×C3×D814yescomplemented
451C4×C5C3×#12012yes—
452C4×C5C22×C3×D411yescharacteristic
453C4×C5C22×C3×D411yescharacteristic
454Dic5—22no—
455Dic5—42no—
456C24—21no—
457C24—21no—
458C24—51no—
459C24—104no—
460C24—108no—
461C24—101no—
462C24—204no—
463C24—204no—
464C2×D4—21no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—21no—
468C2×D4—22no—
469C2×D4—54no—
470C2×D4—52no—
471C2×D4—104no—
472C2×D4—108no—
473C2×D4—1016no—
474C2×D4—108no—
475C2×D4—108no—
476C2×D4—104no—
477C2×D4—101no—
478C2×D4—102no—
479C2×D4—204no—
480C2×D4C3×C22⋊D514yescomplemented
481C2×D4C22×C3×D512yes—
482C2×D4C22×C3×D512yescomplemented
483C22×C4—51no—
484C22×C4—52no—
485C22×C4—52no—
486C22×C4—102no—
487C22×C4—102no—
488C22×C4—101no—
489C22×C4C22×C3×D511yescharacteristic
490D8—28no—
491D8—108no—
492C2×C8—22no—
493C2×C8—52no—
494C2×C8—102no—
495C2×C8C22×C3×D512yescomplemented
496C4⋊C4—52no—
497C4⋊C4—101no—
498C22⋊C4—104no—
499C3×C5C2×#44711yescharacteristic, complemented, Hall
500C22×C3—24no—
501C22×C3—42no—
502C22×C3—42no—
503C22×C3—48no—
504C22×C3—42no—
505C22×C3—42no—
506C22×C3—42no—
507C22×C3—54no—
508C22×C3—84no—
509C22×C3—102no—
510C22×C3—102no—
511C22×C3—108no—
512C22×C3—104no—
513C22×C3—2032no—
514C22×C3—202no—
515C22×C3—202no—
516C22×C3—208no—
517C22×C3D5×D812yes—
518C22×C3#405712yes—
519C22×C3#408312yes—
520C22×C3C2×D4×D511yescharacteristic
521C3×C4—102no—
522C3×C4—202no—
523C3×C4#408312yes—
524C3×C4C2×D4×D511yescharacteristic
525C3×C4C22×C22⋊D511yescharacteristic
526C2×C5—44no—
527C2×C5—82no—
528C2×C5C3×#44714yescomplemented
529C2×C5C2×C3×#12011yescharacteristic
530C2×C5C22×C3×D811yescharacteristic
531C2×C5C2×C3×AGL(1,ℤ/8)11yescharacteristic
532D5—24no—
533D5—44no—
534C23—24no—
535C23—22no—
536C23—22no—
537C23—42no—
538C23—42no—
539C23—42no—
540C23—42no—
541C23—42no—
542C23—52no—
543C23—54no—
544C23—1016no—
545C23—102no—
546C23—102no—
547C23—104no—
548C23—102no—
549C23—208no—
550C23—2032no—
551C23—208no—
552C23—202no—
553C23—202no—
554C23C3×D4×D511yescharacteristic
555D4—24no—
556D4—22no—
557D4—22no—
558D4—22no—
559D4—42no—
560D4—54no—
561D4—1016no—
562D4—104no—
563D4—102no—
564D4—208no—
565D4C2×C3×C22⋊D514yescomplemented
566C2×C4—52no—
567C2×C4—102no—
568C2×C4—104no—
569C2×C4—102no—
570C2×C4—102no—
571C2×C4—102no—
572C2×C4—202no—
573C2×C4C3×D4×D511yescharacteristic
574C2×C4C3×D4×D512yes—
575C2×C4C2×C3×C22⋊D512yes—
576C2×C4C23×C3×D511yescharacteristic
577C8—22no—
578C8—102no—
579C2×C3—44no—
580C2×C3—82no—
581C2×C3—104no—
582C2×C3—204no—
583C2×C3#6544514yesdirect product factor
584C2×C3C2×D5×D811yescharacteristic
585C2×C3C2×#405711yescharacteristic
586C2×C3C2×#408311yescharacteristic
587C5C2×C3×#44711yescharacteristic, complemented, Sylow
588C22—24no—
589C22—48no—
590C22—42no—
591C22—42no—
592C22—42no—
593C22—42no—
594C22—42no—
595C22—54no—
596C22—84no—
597C22—102no—
598C22—108no—
599C22—102no—
600C22—104no—
601C22—2032no—
602C22—208no—
603C22—202no—
604C22—202no—
605C22C3×D5×D812yes—
606C22C3×#405712yes—
607C22C3×#408312yes—
608C22C2×C3×D4×D511yescharacteristic
609C4—102no—
610C4—202no—
611C4C3×#408312yes—
612C4C2×C3×D4×D511yescharacteristic
613C4C22×C3×C22⋊D511yescharacteristic
614C3C2×#6544511yescharacteristic, direct product factor, Sylow
615C2—44no—
616C2—82no—
617C2—104no—
618C2—204no—
619C2C3×#6544514yesdirect product factor
620C2C2×C3×D5×D811yescharacteristic
621C2C2×C3×#405711yescharacteristic
622C2C2×C3×#408311yescharacteristic
subgroupG/H
centerC23×C3D4×D5
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC22×C3×C5×D8C2
socleC23×C3×C5C2×D4
hypercenterC22×C3×D8D5
hypocenterC5C2×C3×#447
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C22×C3×C4 ◁ C22×C3×D8

Complements

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

NH ≅ G/Ntype
1. C22×C3×D4×D5C2semidirect
2. C22×C3×C5×D8C2semidirect
3. C2×C3×#4084C2semidirect
4. C22×C3×#686C2semidirect
5. C2×C3×#3964C2semidirect
6. C3×#65445C2direct (N × H)
7. C2×C3×#3953C2semidirect
8. C2×C3×#3952C2semidirect
9. C2×#65445C3direct (N × H)
12. C22×C3×C5×D4C22semidirect
18. C2×C3×D4×D5C22semidirect
22. C2×C3×C5×D8C22semidirect
23. C22×C3×C5×C8C22semidirect
26. C3×#4084C22semidirect
28. C2×C3×#686C22semidirect
29. C2×C3×C4⋊Dic5C22semidirect
30. C22×C3×#168C22semidirect
31. C3×#3964C22semidirect
32. C3×#3953C22semidirect
33. C3×#3952C22semidirect
35. C22×D4×D5C2×C3semidirect
36. C22×C5×D8C2×C3semidirect
37. C2×#4084C2×C3semidirect
38. C22×#686C2×C3semidirect
39. C2×#3964C2×C3semidirect
40. #65445C2×C3direct (N × H)
41. C2×#3953C2×C3semidirect
42. C2×#3952C2×C3semidirect
56. C2×C3×C5×D4D4semidirect
58. C2×C3×C5×D4C23semidirect
71. C2×C3×D20D4semidirect
79. C2×C3×C5×C8C23semidirect
83. C3×C4⋊Dic5C23semidirect
85. C2×C3×#168C23semidirect
88. C22×C3×D8D5semidirect
96. C22×C5×D4C22×C3semidirect
102. C2×D4×D5C22×C3semidirect
106. C2×C5×D8C22×C3semidirect
107. C22×C5×C8C22×C3semidirect
110. #4084C22×C3semidirect
112. C2×#686C22×C3semidirect
113. C2×C4⋊Dic5C22×C3semidirect
114. C22×#168C22×C3semidirect
115. #3964C22×C3semidirect
116. #3953C22×C3semidirect
117. #3952C22×C3semidirect
138. C22×C3×D5D8semidirect
145. C3×C5×D4C2×D4semidirect
158. C3×D20C2×D4semidirect
173. C22×C3×D4C2×D5semidirect
178. C2×C3×D8C2×D5semidirect
180. C22×C3×C8C2×D5semidirect
201. C2×C5×D4C3×D4semidirect
203. C2×C5×D4C23×C3semidirect
216. C2×D20C3×D4semidirect
224. C2×C5×C8C23×C3semidirect
228. C4⋊Dic5C23×C3semidirect
230. C2×#168C23×C3semidirect
233. C22×D8C3×D5semidirect
259. C2×C3×D5C2×D8semidirect
289. C2×C3×D4C22⋊D5semidirect
291. C2×C3×D4C22×D5semidirect
304. C2×C3×C8C22×D5semidirect
327. C22×D5C3×D8semidirect
334. C5×D4C2×C3×D4semidirect
347. D20C2×C3×D4semidirect
362. C22×D4C2×C3×D5semidirect
367. C2×D8C2×C3×D5semidirect
369. C22×C8C2×C3×D5semidirect
379. C2×C3×C5#447semidirect
416. C3×D4C2×C22⋊D5semidirect
450. C2×D5C2×C3×D8semidirect
480. C2×D4C3×C22⋊D5semidirect
482. C2×D4C22×C3×D5semidirect
495. C2×C8C22×C3×D5semidirect
499. C3×C5C2×#447semidirect
528. C2×C5C3×#447semidirect
565. D4C2×C3×C22⋊D5semidirect
583. C2×C3#65445direct (N × H)
587. C5C2×C3×#447semidirect
614. C3C2×#65445direct (N × H)
619. C2C3×#65445direct (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×C5×D82
C2×C3×#40842
C22×C3×#6862
C2×C3×#39642
C3×#654452
C2×C3×#39532
C2×C3×#39522
C2×#654453
C2×C3×#4475