Finite Group Databasebeta

← C4×#91838 #14416651

Subgroups — C4×#91838 #14416651

Order 1920.

1096 conjugacy classes of subgroups.

The subgroup lattice has 612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×C5×#41C211yesmaximal, characteristic, complemented
2C2×#91838C211yesmaximal, characteristic
3C2×C4×D60C211yesmaximal, characteristic, complemented
4#11751333C211yesmaximal, characteristic, complemented
5#11751127C212yesmaximal, complemented
6C4×#6717C212yesmaximal, complemented
7#11751115C212yesmaximal, complemented
8C4×#6715C212yesmaximal, complemented
9#11751102C211yesmaximal, characteristic, complemented
10#11751096C211yesmaximal, characteristic, complemented
11C4×#6710C211yesmaximal, characteristic, complemented
12C4×#4095—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic
14C22×D60C2211yescharacteristic
15C22×C4×D15—21no—
16C3×C4×C5×Q8C2211yescharacteristic, complemented
17C3×C4×C5×Q8C2211yescharacteristic, complemented
18C3×C4×C5×D4—21no—
19C3×C4×C5×D4—21no—
20C3×C4×C5×D4C2211yescharacteristic, complemented
21C3×C4×C5×D4C2211yescharacteristic, complemented
22C3×C5×#117—21no—
23C3×C5×#117C2211yescharacteristic
24C2×C3×C42×C5—21no—
25C2×C3×C42×C5C2211yescharacteristic
26#91838C418yesdirect product factor
27C2×#6717C2212yes—
28C2×#6715C2212yes—
29C2×#6714—21no—
30C2×C4⋊Dic15C2211yescharacteristic
31C2×#6710C2211yescharacteristic
32C2×#6710C2211yescharacteristic
33C4×D60—21no—
34C4×D60—21no—
35C4×D60C2212yes—
36C4×D60C2212yes—
37#91119C2212yescomplemented
38#91116C2212yescomplemented
39#91093C2212yes—
40#91093C2212yes—
41#91092C2212yescomplemented
42#91091C2212yescomplemented
43#91087C2212yescomplemented
44C4×C3⋊#168C2212yescomplemented
45C4×#949—51nomaximal, Hall
46C4×C5×#41D311yescharacteristic, complemented
47C2×#4095—31no—
48C2×C4×D20—31no—
49#65521—31no—
50#65315—32no—
51C4×#688—32no—
52#65303—32no—
53C4×#686—32no—
54#65290—31no—
55#65284—31no—
56C4×#681—31no—
57C23×D15—21no—
58C3×C5×#41—22no—
59C3×C5×#41C2×C414yescomplemented
60C2×C3×C5×Q8C2311yescharacteristic
61C2×C3×C5×D4—21no—
62C2×C3×C5×D4C2311yescharacteristic
63C22×C3×C4×C5—21no—
64C22×C3×C4×C5—21no—
65C22×C3×C4×C5—21no—
66C22×C3×C4×C5D411yescharacteristic
67C22×C3×C4×C5D411yescharacteristic
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15—21no—
70C2×D60—21no—
71C2×D60—22no—
72C2×D60C2×C414yescomplemented
73C2×D60C2312yes—
74C2×C4×D15—22no—
75C2×C4×D15—22no—
76C2×C4×D15—44no—
77C3×C5×C4⋊C4—21no—
78C3×C5×C4⋊C4—21no—
79C3×C5×C4⋊C4C2311yescharacteristic
80C3×C5×C4⋊C4C2311yescharacteristic
81C3×C5×C22⋊C4—21no—
82C3×C5×C22⋊C4—21no—
83C3×C5×C22⋊C4—21no—
84C3×C42×C5—21no—
85C3×C42×C5—21no—
86C3×C42×C5—21no—
87C3×C42×C5D411yescharacteristic
88C3×C42×C5D411yescharacteristic
89C3×C42×C5C2311yescharacteristic
90C3×C42×C5C2311yescharacteristic
91#6717C2×C418yescomplemented
92#6715C2×C418yescomplemented
93#6714—22no—
94#6714—22no—
95C4⋊Dic15—21no—
96C4⋊Dic15C2312yes—
97#6710—22no—
98#6710C2×C414yescomplemented
99C2×C3⋊#168C2312yes—
100C2×C3⋊#168C2312yes—
101C3×C4×#41D511yescharacteristic, complemented
102C2×#949—51no—
103C2×C4×D12—51no—
104#5232—51no—
105#5026—52no—
106C4×#215—52no—
107#5014—52no—
108C4×#213—52no—
109#5001—51no—
110#4995—51no—
111C4×#208—51no—
112C2×C5×#41C2×D311yescharacteristic
113C22×D20—31no—
114C22×C4×D5—61no—
115C4×C5×Q8C2×D311yescharacteristic, complemented
116C4×C5×Q8C2×D311yescharacteristic, complemented
117C4×C5×D4—21no—
118C4×C5×D4—21no—
119C4×C5×D4C2×D311yescharacteristic, complemented
120C4×C5×D4C2×D311yescharacteristic, complemented
121C5×#117—21no—
122C5×#117C2×D311yescharacteristic
123C2×C42×C5—21no—
124C2×C42×C5C2×D311yescharacteristic
125#4095—38no—
126C2×#688—32no—
127C2×#686—32no—
128C2×#685—61no—
129C2×C4⋊Dic5—31no—
130C2×#681—31no—
131C2×#681—31no—
132C4×D20—32no—
133C4×D20—32no—
134C4×D20—61no—
135C4×D20—61no—
136#3967—32no—
137#3964—32no—
138#3941—32no—
139#3941—32no—
140#3940—32no—
141#3939—32no—
142#3935—32no—
143C4×#168—32no—
144C4×AGL(1,ℤ/8)—151noSylow
145C23×C3×C5—21no—
146C23×C3×C5C2×D411yescharacteristic
147C22×D15—24no—
148C22×D15—22no—
149C22×D15—42no—
150C22×D15—42no—
151C3×C5×Q8—21no—
152C3×C5×Q8C22×C412yescomplemented
153C3×C5×D4—24no—
154C3×C5×D4—21no—
155C3×C5×D4C22×C412yescomplemented
156C2×C3×C4×C5—21no—
157C2×C3×C4×C5—24no—
158C2×C3×C4×C5—22no—
159C2×C3×C4×C5—21no—
160C2×C3×C4×C5—21no—
161C2×C3×C4×C5—41no—
162C2×C3×C4×C5—42no—
163C2×C3×C4×C5—42no—
164C2×C3×C4×C5C22×C412yes—
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2×D411yescharacteristic
167C2×C3×C4×C5C2×D411yescharacteristic
168C2×C3×C4×C5C2×D411yescharacteristic
169C2×C3×C4×C5C2×D411yescharacteristic
170C2×C3×C4×C5#4112yes—
171C2×C3×C4×C5C2411yescharacteristic
172C2×Dic15—22no—
173C2×Dic15—42no—
174D60—24no—
175D60—22no—
176D60C22×C414yes—
177C4×D15—44no—
178C4×D15—44no—
179C3⋊#168—22no—
180C3⋊#168C22×C414yescomplemented
181C2×C3×#41C2×D511yescharacteristic
182C22×D12—51no—
183C22×C4×D3—101no—
184C3×C4×Q8C2×D511yescharacteristic, complemented
185C3×C4×Q8C2×D511yescharacteristic, complemented
186C3×C4×D4—21no—
187C3×C4×D4—21no—
188C3×C4×D4C2×D511yescharacteristic, complemented
189C3×C4×D4C2×D511yescharacteristic, complemented
190C3×#117—21no—
191C3×#117C2×D511yescharacteristic
192C2×C3×C42—21no—
193C2×C3×C42C2×D511yescharacteristic
194#949—58no—
195C2×#215—52no—
196C2×#213—52no—
197C2×(C2×D3)⋊C4—101no—
198C2×C4⋊Dic3—51no—
199C2×#208—51no—
200C2×#208—51no—
201C4×D12—52no—
202C4×D12—52no—
203C4×D12—101no—
204C4×D12—101no—
205#835—52no—
206#832—52no—
207#809—52no—
208#809—52no—
209#808—52no—
210#807—52no—
211#803—52no—
212C4×C3⋊C8—52no—
213C23×D5—61no—
214C5×#41—22no—
215C5×#41C4×D314yescomplemented
216C2×C5×Q8C22×D311yescharacteristic
217C2×C5×D4—21no—
218C2×C5×D4C22×D311yescharacteristic
219C22×C4×C5—21no—
220C22×C4×C5—21no—
221C22×C4×C5—21no—
222C22×C4×C5#6711yescharacteristic
223C22×C4×C5#6711yescharacteristic
224C22×C4×C5C22×D311yescharacteristic
225C22×Dic5—61no—
226C2×D20—34no—
227C2×D20—32no—
228C2×D20—62no—
229C2×D20—61no—
230C2×C4×D5—62no—
231C2×C4×D5—62no—
232C2×C4×D5—124no—
233C5×C4⋊C4—21no—
234C5×C4⋊C4—21no—
235C5×C4⋊C4C22×D311yescharacteristic
236C5×C4⋊C4C22×D311yescharacteristic
237C5×C22⋊C4—21no—
238C5×C22⋊C4—21no—
239C5×C22⋊C4—21no—
240C42×C5—21no—
241C42×C5—21no—
242C42×C5—21no—
243C42×C5#6711yescharacteristic
244C42×C5#6711yescharacteristic
245C42×C5C22×D311yescharacteristic
246C42×C5C22×D311yescharacteristic
247#688—38no—
248#686—38no—
249#685—62no—
250#685—62no—
251C4⋊Dic5—32no—
252C4⋊Dic5—61no—
253#681—34no—
254#681—62no—
255C2×#168—32no—
256C2×#168—32no—
257C2×AGL(1,ℤ/8)—151no—
258C4×#41D1511yescharacteristic, complemented
259C2×C4×D4—151no—
260#442—152no—
261#440—152no—
262C4×SD16—152no—
263C4×D8—152no—
264#428—151no—
265#418—151no—
266#417—151no—
267C4×M16—151no—
268C22×C3×C5—21no—
269C22×C3×C5—21no—
270C22×C3×C5—22no—
271C22×C3×C5—41no—
272C22×C3×C5—41no—
273C22×C3×C5C4×D412yes—
274C22×C3×C5C22×D411yescharacteristic
275C2×D15—24no—
276C2×D15—48no—
277C2×D15—42no—
278C2×D15—42no—
279C3×C4×C5—22no—
280C3×C4×C5—21no—
281C3×C4×C5—21no—
282C3×C4×C5—21no—
283C3×C4×C5—41no—
284C3×C4×C5—41no—
285C3×C4×C5C4×D412yes—
286C3×C4×C5AGL(1,ℤ/8)12yescomplemented
287C3×C4×C5C23×C411yescharacteristic
288C3×C4×C5C2×#4111yescharacteristic
289Dic15—42no—
290C23×D3—101no—
291C3×#41—22no—
292C3×#41C4×D514yescomplemented
293C2×C3×Q8C22×D511yescharacteristic
294C2×C3×D4—21no—
295C2×C3×D4C22×D511yescharacteristic
296C22×C3×C4—21no—
297C22×C3×C4—21no—
298C22×C3×C4—21no—
299C22×C3×C4C22⋊D511yescharacteristic
300C22×C3×C4C22⋊D511yescharacteristic
301C22×C3×C4C22×D511yescharacteristic
302C22×Dic3—101no—
303C2×D12—54no—
304C2×D12—52no—
305C2×D12—102no—
306C2×D12—101no—
307C2×C4×D3—102no—
308C2×C4×D3—102no—
309C2×C4×D3—204no—
310C3×C4⋊C4—21no—
311C3×C4⋊C4—21no—
312C3×C4⋊C4C22×D511yescharacteristic
313C3×C4⋊C4C22×D511yescharacteristic
314C3×C22⋊C4—21no—
315C3×C22⋊C4—21no—
316C3×C22⋊C4—21no—
317C3×C42—21no—
318C3×C42—21no—
319C3×C42—21no—
320C3×C42C22⋊D511yescharacteristic
321C3×C42C22⋊D511yescharacteristic
322C3×C42C22×D511yescharacteristic
323C3×C42C22×D511yescharacteristic
324#215—58no—
325#213—58no—
326(C2×D3)⋊C4—102no—
327(C2×D3)⋊C4—102no—
328C4⋊Dic3—52no—
329C4⋊Dic3—101no—
330#208—54no—
331#208—102no—
332C2×C3⋊C8—52no—
333C2×C3⋊C8—52no—
334C23×C5—21no—
335C23×C5C2×#6711yescharacteristic
336C22×D5—64no—
337C22×D5—62no—
338C22×D5—122no—
339C22×D5—122no—
340C5×Q8—21no—
341C5×Q8C2×C4×D312yescomplemented
342C5×D4—24no—
343C5×D4—21no—
344C5×D4C2×C4×D312yescomplemented
345C2×C4×C5—21no—
346C2×C4×C5—24no—
347C2×C4×C5—22no—
348C2×C4×C5—21no—
349C2×C4×C5—21no—
350C2×C4×C5—41no—
351C2×C4×C5—42no—
352C2×C4×C5—42no—
353C2×C4×C5C2×C4×D312yes—
354C2×C4×C5#23512yes—
355C2×C4×C5C2×#6711yescharacteristic
356C2×C4×C5C2×#6711yescharacteristic
357C2×C4×C5C2×#6711yescharacteristic
358C2×C4×C5C2×#6711yescharacteristic
359C2×C4×C5C2×#6711yescharacteristic
360C2×C4×C5C23×D311yescharacteristic
361C2×Dic5—62no—
362C2×Dic5—122no—
363D20—34no—
364D20—64no—
365D20—62no—
366C4×D5—124no—
367C4×D5—124no—
368#168—34no—
369#168—62no—
370C2×#41C2×D1511yescharacteristic
371C22×D4—151no—
372C23×C4—301no—
373AGL(1,ℤ/8)—158no—
374C2×SD16—152no—
375C2×D8—152no—
376C2×M16—151no—
377C2×M16—151no—
378C4×Q8C2×D1511yescharacteristic, complemented
379C4×Q8C2×D1511yescharacteristic, complemented
380C4×D4—21no—
381C4×D4—21no—
382C4×D4—152no—
383C4×D4—152no—
384C4×D4—301no—
385C4×D4—301no—
386C4×D4C2×D1511yescharacteristic, complemented
387C4×D4C2×D1511yescharacteristic, complemented
388#117—21no—
389#117C2×D1511yescharacteristic
390C2×C4⋊C4—151no—
391C2×C22⋊C4—301no—
392C2×C42—21no—
393C2×C42C2×D1511yescharacteristic
394#107—152no—
395#106—152no—
396#103—152no—
397#102—152no—
398#102—152no—
399#102—152no—
400#97—152no—
401C4×C8—152no—
402C2×C3×C5—22no—
403C2×C3×C5—42no—
404C2×C3×C5C2×C4×D411yescharacteristic
405C2×C3×C5C2×AGL(1,ℤ/8)11yescharacteristic
406C2×C3×C5#57511yescharacteristic
407D15—44no—
408C23×C3—21no—
409C23×C3C2×C22⋊D511yescharacteristic
410C22×D3—102no—
411C22×D3—104no—
412C22×D3—202no—
413C22×D3—202no—
414C3×Q8—21no—
415C3×Q8C2×C4×D512yescomplemented
416C3×D4—24no—
417C3×D4—21no—
418C3×D4C2×C4×D512yescomplemented
419C2×C3×C4—21no—
420C2×C3×C4—24no—
421C2×C3×C4—22no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—41no—
425C2×C3×C4—42no—
426C2×C3×C4—42no—
427C2×C3×C4C2×C4×D512yes—
428C2×C3×C4#70912yes—
429C2×C3×C4C2×C22⋊D511yescharacteristic
430C2×C3×C4C2×C22⋊D511yescharacteristic
431C2×C3×C4C2×C22⋊D511yescharacteristic
432C2×C3×C4C2×C22⋊D511yescharacteristic
433C2×C3×C4C2×C22⋊D511yescharacteristic
434C2×C3×C4C23×D511yescharacteristic
435C2×Dic3—102no—
436C2×Dic3—202no—
437D12—54no—
438D12—102no—
439D12—104no—
440C4×D3—204no—
441C4×D3—204no—
442C3⋊C8—54no—
443C3⋊C8—102no—
444C22×C5—21no—
445C22×C5—21no—
446C22×C5—22no—
447C22×C5—41no—
448C22×C5—41no—
449C22×C5C4×#6712yes—
450C22×C5C22×#6711yescharacteristic
451C2×D5—64no—
452C2×D5—128no—
453C2×D5—122no—
454C2×D5—122no—
455C4×C5—22no—
456C4×C5—21no—
457C4×C5—21no—
458C4×C5—21no—
459C4×C5—41no—
460C4×C5—41no—
461C4×C5C4×#6712yes—
462C4×C5#94912yescomplemented
463C4×C5C22×C4×D311yescharacteristic
464C4×C5C2×#23511yescharacteristic
465Dic5—122no—
466C24—301no—
467#41—22no—
468#41C4×D1514yescomplemented
469C2×Q8C22×D1511yescharacteristic
470C2×D4—21no—
471C2×D4—154no—
472C2×D4—152no—
473C2×D4—302no—
474C2×D4—301no—
475C2×D4C22×D1511yescharacteristic
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—301no—
480C22×C4—302no—
481C22×C4—302no—
482C22×C4—604no—
483C22×C4#122011yescharacteristic
484C22×C4#122011yescharacteristic
485C22×C4C22×D1511yescharacteristic
486SD16—158no—
487D8—158no—
488M16—154no—
489M16—302no—
490C2×C8—152no—
491C2×C8—152no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—152no—
495C4⋊C4—301no—
496C4⋊C4C22×D1511yescharacteristic
497C4⋊C4C22×D1511yescharacteristic
498C22⋊C4—21no—
499C22⋊C4—21no—
500C22⋊C4—21no—
501C22⋊C4—302no—
502C22⋊C4—302no—
503C42—21no—
504C42—21no—
505C42—21no—
506C42#122011yescharacteristic
507C42#122011yescharacteristic
508C42C22×D1511yescharacteristic
509C42C22×D1511yescharacteristic
510C3×C5C4×AGL(1,ℤ/8)11yescharacteristic, complemented, Hall
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—22no—
514C22×C3—41no—
515C22×C3—41no—
516C22×C3C4×C22⋊D512yes—
517C22×C3C22×C22⋊D511yescharacteristic
518C2×D3—104no—
519C2×D3—208no—
520C2×D3—202no—
521C2×D3—202no—
522C3×C4—22no—
523C3×C4—21no—
524C3×C4—21no—
525C3×C4—21no—
526C3×C4—41no—
527C3×C4—41no—
528C3×C4C4×C22⋊D512yes—
529C3×C4#409512yescomplemented
530C3×C4C22×C4×D511yescharacteristic
531C3×C4C2×#70911yescharacteristic
532Dic3—202no—
533C2×C5—22no—
534C2×C5—42no—
535C2×C5C2×C4×#6711yescharacteristic
536C2×C5C2×#94911yescharacteristic
537C2×C5#582211yescharacteristic
538D5—124no—
539C23—21no—
540C23—304no—
541C23—302no—
542C23—602no—
543C23—602no—
544C23C2×#122011yescharacteristic
545Q8—21no—
546Q8C2×C4×D1512yescomplemented
547D4—24no—
548D4—21no—
549D4—154no—
550D4—304no—
551D4—302no—
552D4C2×C4×D1512yescomplemented
553C2×C4—21no—
554C2×C4—24no—
555C2×C4—22no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—41no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—302no—
562C2×C4—604no—
563C2×C4—602no—
564C2×C4—604no—
565C2×C4C2×C4×D1512yes—
566C2×C4#681712yes—
567C2×C4C2×#122011yescharacteristic
568C2×C4C2×#122011yescharacteristic
569C2×C4C2×#122011yescharacteristic
570C2×C4C2×#122011yescharacteristic
571C2×C4C2×#122011yescharacteristic
572C2×C4C23×D1511yescharacteristic
573C8—154no—
574C8—302no—
575C2×C3—22no—
576C2×C3—42no—
577C2×C3C2×C4×C22⋊D511yescharacteristic
578C2×C3C2×#409511yescharacteristic
579C2×C3#6615611yescharacteristic
580D3—204no—
581C5C4×#94911yescharacteristic, complemented, Sylow
582C22—21no—
583C22—21no—
584C22—22no—
585C22—41no—
586C22—41no—
587C22—304no—
588C22—608no—
589C22—602no—
590C22—602no—
591C22C4×#122012yes—
592C22C22×#122011yescharacteristic
593C4—22no—
594C4—21no—
595C4—21no—
596C4—21no—
597C4—41no—
598C4—41no—
599C4—602no—
600C4C4×#122012yes—
601C4#9183812yesdirect product factor
602C4C22×C4×D1511yescharacteristic
603C4C2×#681711yescharacteristic
604C3C4×#409511yescharacteristic, complemented, Sylow
605C2—22no—
606C2—42no—
607C2—604no—
608C2C2×C4×#122011yescharacteristic
609C2C2×#9183811yescharacteristic
610C2#1175658111yescharacteristic
subgroupG/H
centerC2×C4C2×#1220
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C23×D15
FittingC3×C4×C5×#41C2
socleC22×C3×C5C22×D4
prime radicalC2×#91838C2
cosocleC2×C3×C4×C5C24
hypercenterC4×#41D15
hypocenterC3×C5C4×AGL(1,ℤ/8)
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×#41

Complements

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

NH ≅ G/Ntype
1. C3×C4×C5×#41C2semidirect
3. C2×C4×D60C2semidirect
4. #11751333C2semidirect
5. #11751127C2semidirect
6. C4×#6717C2semidirect
7. #11751115C2semidirect
8. C4×#6715C2semidirect
9. #11751102C2semidirect
10. #11751096C2semidirect
11. C4×#6710C2semidirect
16. C3×C4×C5×Q8C22semidirect
17. C3×C4×C5×Q8C22semidirect
20. C3×C4×C5×D4C22semidirect
21. C3×C4×C5×D4C22semidirect
26. #91838C4direct (N × H)
37. #91119C22semidirect
38. #91116C22semidirect
41. #91092C22semidirect
42. #91091C22semidirect
43. #91087C22semidirect
44. C4×C3⋊#168C22semidirect
46. C4×C5×#41D3semidirect
59. C3×C5×#41C2×C4semidirect
72. C2×D60C2×C4semidirect
91. #6717C2×C4semidirect
92. #6715C2×C4semidirect
98. #6710C2×C4semidirect
101. C3×C4×#41D5semidirect
115. C4×C5×Q8C2×D3semidirect
116. C4×C5×Q8C2×D3semidirect
119. C4×C5×D4C2×D3semidirect
120. C4×C5×D4C2×D3semidirect
152. C3×C5×Q8C22×C4semidirect
155. C3×C5×D4C22×C4semidirect
180. C3⋊#168C22×C4semidirect
184. C3×C4×Q8C2×D5semidirect
185. C3×C4×Q8C2×D5semidirect
188. C3×C4×D4C2×D5semidirect
189. C3×C4×D4C2×D5semidirect
215. C5×#41C4×D3semidirect
258. C4×#41D15semidirect
286. C3×C4×C5AGL(1,ℤ/8)semidirect
292. C3×#41C4×D5semidirect
341. C5×Q8C2×C4×D3semidirect
344. C5×D4C2×C4×D3semidirect
378. C4×Q8C2×D15semidirect
379. C4×Q8C2×D15semidirect
386. C4×D4C2×D15semidirect
387. C4×D4C2×D15semidirect
415. C3×Q8C2×C4×D5semidirect
418. C3×D4C2×C4×D5semidirect
462. C4×C5#949semidirect
468. #41C4×D15semidirect
510. C3×C5C4×AGL(1,ℤ/8)semidirect
529. C3×C4#4095semidirect
546. Q8C2×C4×D15semidirect
552. D4C2×C4×D15semidirect
581. C5C4×#949semidirect
601. C4#91838direct (N × H)
604. C3C4×#4095semidirect

Maximal subgroups

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

subgroupindex
C3×C4×C5×#412
C2×#918382
C2×C4×D602
#117513332
#117511272
C4×#67172
#117511152
C4×#67152
#117511022
#117510962
C4×#67102
C4×#40953
C4×#9495