Finite Group Databasebeta

← C4×#91456 #14321498

Subgroups — C4×#91456 #14321498

Order 1920.

1648 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C42×C5×D3C211yesmaximal, characteristic, complemented
2C2×C3×C4×D20C211yesmaximal, characteristic, complemented
3C2×#91456C211yesmaximal, characteristic
4C2×C4×#1201C212yesmaximal, complemented
5C4×C4⋊Dic15C211yesmaximal, characteristic, complemented
6#11748910C212yesmaximal, complemented
7#11748858C211yesmaximal, characteristic, complemented
8#11748786C211yesmaximal, characteristic, complemented
9#11748785C211yesmaximal, characteristic, complemented
10#11748705C212yesmaximal, complemented
11C4×#6665C212yesmaximal, complemented
12C4×#4076—31nomaximal, Hall
13C22×C4×C5×D3C2211yescharacteristic
14C22×C4×C5×D3C2211yescharacteristic
15C22×C4×C5×D3C2211yescharacteristic
16C22×C3×D20C2211yescharacteristic
17C22×C3×C4×D5C2212yes—
18C22×#1201C2212yes—
19C2×C3×C42×C5C2211yescharacteristic
20C2×C4⋊Dic15C2211yescharacteristic
21C2×C4⋊Dic15C2211yescharacteristic
22C2×C4×Dic15C2212yes—
23C2×C4×C5×Dic3C2211yescharacteristic
24C2×C4×C5×Dic3C2211yescharacteristic
25C2×C4×C5×Dic3C2211yescharacteristic
26C42×C5×D3—24no—
27C2×C3×#685C2212yes—
28C2×C3×C4⋊Dic5C2211yescharacteristic
29C3×C4×D20—24no—
30C2×#6669C2212yes—
31C2×(C2×D3)⋊Dic5C2212yes—
32C2×#6665C2212yes—
33C2×#6665C2212yes—
34C2×#6665C2212yes—
35#91456C418yesdirect product factor
36C4×#1201—28no—
37#91115C2212yes—
38#90994C2212yes—
39#90994C2212yes—
40C4×#938—51nomaximal, Hall
41C22×C42×C5—31no—
42C2×#4076—31no—
43C2×C4×C22⋊D5—32no—
44C2×C4×D20D311yescharacteristic, complemented
45#65502—32no—
46#65501—31no—
47#65229—32no—
48#65228—31no—
49C4×#685—32no—
50C4×C4⋊Dic5—31no—
51#65217—31no—
52C23×C5×D3C2311yescharacteristic
53C23×C3×D5C2312yes—
54C22×C3×C4×C5C2311yescharacteristic
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2311yescharacteristic
57C22×Dic15C2312yes—
58C22×Dic15C2312yes—
59C22×C5×Dic3C2311yescharacteristic
60C22×C5×Dic3C2311yescharacteristic
61C22×C5×Dic3C2311yescharacteristic
62C2×C4×C5×D3—22no—
63C2×C4×C5×D3—22no—
64C2×C4×C5×D3—22no—
65C2×C4×C5×D3—22no—
66C2×C4×C5×D3—22no—
67C2×C4×C5×D3—22no—
68C2×C4×C5×D3—22no—
69C2×C4×C5×D3C2×C414yescomplemented
70C2×C4×C5×D3D414yescomplemented
71C22×C3×Dic5C2312yes—
72C2×C3×D20—22no—
73C2×C3×D20—22no—
74C2×C3×D20C2×C414yescomplemented
75C2×C3×C4×D5—24no—
76C2×C3×C4×D5—24no—
77C2×C3×C4×D5—24no—
78C2×#1201—24no—
79C2×#1201—24no—
80C2×#1201C2×C418yescomplemented
81C3×C42×C5D414yescomplemented
82C4⋊Dic15—22no—
83C4⋊Dic15C2×C414yescomplemented
84C4×Dic15—24no—
85C4×C5×Dic3—22no—
86C4×C5×Dic3—22no—
87C4×C5×Dic3—22no—
88C3×#685—24no—
89C3×C4⋊Dic5—22no—
90#6669—24no—
91(C2×D3)⋊Dic5—24no—
92#6665—24no—
93#6665—24no—
94#6665C2×C418yescomplemented
95C2×C3×C4×D4—51no—
96C2×#938—51no—
97C2×C4×#67—52no—
98C2×C42×D3D511yescharacteristic, complemented
99#5221—51no—
100C4×#217—52no—
101#4987—51no—
102#4972—51no—
103#4956—52no—
104#4944—52no—
105C4×C4⋊Dic3—51no—
106C23×C4×C5—31no—
107C23×C4×C5—31no—
108C23×C4×C5—31no—
109C22×C22⋊D5—32no—
110C22×D20C2×D311yescharacteristic
111C22×C4×D5C2×D312yes—
112C2×C42×C5—31no—
113C2×C42×C5—31no—
114C2×C42×C5—31no—
115C2×C42×C5—64no—
116C2×C42×C5C2×D311yescharacteristic
117C2×C22⋊Dic5—32no—
118#4076—38no—
119C4×C22⋊D5—68no—
120C2×#685—32no—
121C2×#685—32no—
122C2×#685—32no—
123C2×#685C2×D312yes—
124C2×C4⋊Dic5—31no—
125C2×C4⋊Dic5—31no—
126C2×C4⋊Dic5C2×D311yescharacteristic
127C2×#683—32no—
128C2×C4×Dic5—32no—
129C4×D20—24no—
130#3963—32no—
131#3963—32no—
132#3963—32no—
133C4×#121—151noSylow
134C23×C3×C5C2411yescharacteristic
135C22×C5×D3—21no—
136C22×C5×D3—21no—
137C22×C5×D3—21no—
138C22×C5×D3—21no—
139C22×C5×D3C22×C412yes—
140C22×C5×D3C2×D412yes—
141C22×C5×D3#4112yes—
142C22×C3×D5—22no—
143C22×C3×D5—22no—
144C22×C3×D5—22no—
145C22×C3×D5—22no—
146C22×C3×D5—22no—
147C22×C3×D5—22no—
148C22×C3×D5C22×C414yes—
149C2×C3×C4×C5—21no—
150C2×C3×C4×C5—21no—
151C2×C3×C4×C5C22×C412yes—
152C2×C3×C4×C5C2×D412yes—
153C2×C3×C4×C5C2×D412yes—
154C2×C3×C4×C5C2×D412yes—
155C2×C3×C4×C5C2×D412yes—
156C2×C3×C4×C5#4112yes—
157C2×C3×C4×C5#4112yes—
158C2×Dic15—22no—
159C2×Dic15—22no—
160C2×Dic15—22no—
161C2×Dic15—22no—
162C2×Dic15—22no—
163C2×Dic15C22×C414yes—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3—21no—
168C2×C5×Dic3—21no—
169C2×C5×Dic3—21no—
170C2×C5×Dic3C22×C412yes—
171C2×C5×Dic3C2×D412yes—
172C2×C5×Dic3#4112yes—
173C4×C5×D3—28no—
174C4×C5×D3—28no—
175C4×C5×D3—28no—
176C2×C3×Dic5—22no—
177C2×C3×Dic5—22no—
178C2×C3×Dic5—22no—
179C3×D20—28no—
180C3×C4×D5—48no—
181#1201—216no—
182C22×C3×D4—51no—
183C23×C3×C4—52no—
184C22×#67—52no—
185C22×C4×D3C2×D511yescharacteristic
186C22×C4×D3C2×D511yescharacteristic
187C22×C4×D3C2×D511yescharacteristic
188C3×C4×D4—104no—
189C2×C3×C4⋊C4—51no—
190C2×C3×C22⋊C4—52no—
191C2×C3×C42C2×D511yescharacteristic
192C2×#217—52no—
193C2×#217—52no—
194C2×#217—52no—
195#938—58no—
196C4×#67—108no—
197C2×(C2×D3)⋊C4—52no—
198C2×C4⋊Dic3—51no—
199C2×C4⋊Dic3—51no—
200C2×Dic3⋊C4—52no—
201C2×C4×Dic3—52no—
202C2×C4×Dic3C2×D511yescharacteristic
203C2×C4×Dic3C2×D511yescharacteristic
204C2×C4×Dic3C2×D511yescharacteristic
205C42×D3—24no—
206C3⋊#95—52no—
207C3⋊#95—52no—
208C3⋊#95—52no—
209C24×C5—31no—
210C23×D5C22×D312yes—
211C22×C4×C5—31no—
212C22×C4×C5—31no—
213C22×C4×C5—31no—
214C22×C4×C5—34no—
215C22×C4×C5—34no—
216C22×C4×C5—62no—
217C22×C4×C5—62no—
218C22×C4×C5—62no—
219C22×C4×C5—62no—
220C22×C4×C5—62no—
221C22×C4×C5—62no—
222C22×C4×C5—62no—
223C22×C4×C5C22×D311yescharacteristic
224C22×C4×C5C22×D311yescharacteristic
225C22×C4×C5C22×D311yescharacteristic
226C2×C22⋊D5—38no—
227C2×C22⋊D5—64no—
228C2×C22⋊D5—64no—
229C22×Dic5—32no—
230C22×Dic5—32no—
231C22×Dic5C22×D312yes—
232C2×D20—22no—
233C2×D20—22no—
234C2×D20C4×D314yescomplemented
235C2×C4×D5—24no—
236C2×C4×D5—24no—
237C2×C4×D5—24no—
238C42×C5—62no—
239C42×C5—62no—
240C42×C5—62no—
241C42×C5#6714yescomplemented
242C22⋊Dic5—64no—
243#685—24no—
244#685—38no—
245#685—64no—
246#685—64no—
247C4⋊Dic5—22no—
248C4⋊Dic5—34no—
249C4⋊Dic5—62no—
250#683—64no—
251C4×Dic5—64no—
252C2×#121—151no—
253C2×C4×D4—51no—
254C2×C4×D4—152no—
255C22×C42—31no—
256#390—151no—
257#389—151no—
258#388—152no—
259#386—152no—
260#380—151no—
261C4×C4⋊C4—151no—
262C4×C22⋊C4—152no—
263C22×C3×C5C23×C411yescharacteristic
264C22×C3×C5C22×D411yescharacteristic
265C22×C3×C5C22×D411yescharacteristic
266C22×C3×C5C2×#4111yescharacteristic
267C22×C3×C5C2×#4111yescharacteristic
268C22×C3×C5C2×#4111yescharacteristic
269C22×C3×C5C2×#4111yescharacteristic
270C2×C5×D3—22no—
271C2×C5×D3—22no—
272C2×C5×D3—22no—
273C2×C5×D3—22no—
274C2×C5×D3—22no—
275C2×C5×D3—22no—
276C2×C5×D3C4×D414yescomplemented
277C2×C3×D5—24no—
278C2×C3×D5—24no—
279C2×C3×D5—24no—
280C2×C3×D5—42no—
281C2×C3×D5—42no—
282C2×C3×D5—42no—
283C2×C3×D5—42no—
284C3×C4×C5—22no—
285C3×C4×C5C4×D414yescomplemented
286C3×C4×C5#12114yescomplemented
287Dic15—24no—
288Dic15—42no—
289C3×Dic5—42no—
290C5×Dic3—22no—
291C5×Dic3—22no—
292C5×Dic3—22no—
293C24×C3—52no—
294C23×D3C22×D511yescharacteristic
295C2×C3×D4—54no—
296C2×C3×D4—102no—
297C2×C3×D4—102no—
298C22×C3×C4—52no—
299C22×C3×C4—104no—
300C22×C3×C4—104no—
301C22×C3×C4—104no—
302C22×C3×C4C22×D511yescharacteristic
303C22×C3×C4C22×D511yescharacteristic
304C22×C3×C4C22×D511yescharacteristic
305C2×#67—58no—
306C2×#67—104no—
307C2×#67—104no—
308C22×Dic3—52no—
309C22×Dic3—52no—
310C22×Dic3C22×D511yescharacteristic
311C22×Dic3C22×D511yescharacteristic
312C22×Dic3C22×D511yescharacteristic
313C2×C4×D3—22no—
314C2×C4×D3—22no—
315C2×C4×D3—22no—
316C2×C4×D3—22no—
317C2×C4×D3—22no—
318C2×C4×D3—22no—
319C2×C4×D3—22no—
320C2×C4×D3C4×D514yescomplemented
321C2×C4×D3D2014yescomplemented
322C3×C4⋊C4—102no—
323C3×C22⋊C4—104no—
324C3×C42C22⋊D514yescomplemented
325#217—58no—
326#217—104no—
327#217—104no—
328(C2×D3)⋊C4—104no—
329C4⋊Dic3—54no—
330C4⋊Dic3—102no—
331Dic3⋊C4—104no—
332C4×Dic3—22no—
333C4×Dic3—22no—
334C4×Dic3—22no—
335C4×Dic3—104no—
336C23×C5—32no—
337C23×C5—32no—
338C23×C5—32no—
339C23×C5—61no—
340C23×C5—61no—
341C23×C5—61no—
342C23×C5—61no—
343C23×C5C23×D311yescharacteristic
344C22×D5—22no—
345C22×D5—22no—
346C22×D5—22no—
347C22×D5—22no—
348C22×D5—22no—
349C22×D5—22no—
350C22×D5C2×C4×D314yes—
351C2×C4×C5—21no—
352C2×C4×C5—21no—
353C2×C4×C5—32no—
354C2×C4×C5—32no—
355C2×C4×C5—32no—
356C2×C4×C5—68no—
357C2×C4×C5—61no—
358C2×C4×C5—61no—
359C2×C4×C5—61no—
360C2×C4×C5—61no—
361C2×C4×C5—61no—
362C2×C4×C5—61no—
363C2×C4×C5—68no—
364C2×C4×C5—68no—
365C2×C4×C5C2×C4×D312yes—
366C2×C4×C5#23512yes—
367C2×C4×C5D3×D412yes—
368C2×C4×C5#23712yes—
369C2×C4×C5C2×#6712yes—
370C2×C4×C5C2×#6712yes—
371C2×C4×C5C2×#6712yes—
372C22⋊D5—616no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—34no—
377C2×Dic5—62no—
378C2×Dic5—62no—
379C2×Dic5—62no—
380C2×Dic5—62no—
381C2×Dic5—62no—
382D20—28no—
383C4×D5—48no—
384C22×D4—51no—
385C22×D4—152no—
386C23×C4—31no—
387C23×C4—31no—
388C23×C4—31no—
389C23×C4—52no—
390#121—158no—
391C4×D4—104no—
392C4×D4—308no—
393C2×C4⋊C4—51no—
394C2×C4⋊C4—151no—
395C2×C4⋊C4—152no—
396C2×C4⋊C4—151no—
397C2×C22⋊C4—52no—
398C2×C22⋊C4—152no—
399C2×C22⋊C4—152no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C42—31no—
403C2×C42—31no—
404C2×C42—31no—
405C2×C42—64no—
406C2×C42—152no—
407C2×C42D3×D511yescharacteristic
408#95—152no—
409#95—152no—
410#95—152no—
411C2×C3×C5C2×C4×D411yescharacteristic
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5C4×#4111yescharacteristic
414C2×C3×C5C2×#12111yescharacteristic
415C2×C3×C5#52511yescharacteristic
416C2×C3×C5#52911yescharacteristic
417C2×C3×C5#53211yescharacteristic
418C3×D5—44no—
419C5×D3—24no—
420C23×C3—54no—
421C23×C3—102no—
422C23×C3—102no—
423C23×C3—102no—
424C23×C3—102no—
425C23×C3—102no—
426C23×C3—102no—
427C23×C3C23×D511yescharacteristic
428C22×D3—21no—
429C22×D3—21no—
430C22×D3—21no—
431C22×D3—21no—
432C22×D3C2×C4×D512yes—
433C22×D3C2×D2012yes—
434C22×D3#70912yes—
435C3×D4—108no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—102no—
439C2×C3×C4—102no—
440C2×C3×C4—102no—
441C2×C3×C4—208no—
442C2×C3×C4C2×C4×D512yes—
443C2×C3×C4C2×D2012yes—
444C2×C3×C4#70912yes—
445C2×C3×C4#70912yes—
446C2×C3×C4C2×C22⋊D512yes—
447C2×C3×C4C2×C22⋊D512yes—
448C2×C3×C4C2×C22⋊D512yes—
449#67—1016no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—21no—
456C2×Dic3—54no—
457C2×Dic3—102no—
458C2×Dic3—102no—
459C2×Dic3—102no—
460C2×Dic3—102no—
461C2×Dic3—102no—
462C2×Dic3C2×C4×D512yes—
463C2×Dic3C2×D2012yes—
464C2×Dic3#70912yes—
465C4×D3—28no—
466C4×D3—28no—
467C4×D3—28no—
468C22×C5—34no—
469C22×C5—62no—
470C22×C5—62no—
471C22×C5—62no—
472C22×C5—62no—
473C22×C5—62no—
474C22×C5—62no—
475C22×C5C22×C4×D311yescharacteristic
476C22×C5C2×#23511yescharacteristic
477C22×C5C2×D3×D411yescharacteristic
478C22×C5C2×#23711yescharacteristic
479C22×C5D3×#4111yescharacteristic
480C22×C5D3×#4111yescharacteristic
481C22×C5C22×#6711yescharacteristic
482C2×D5—24no—
483C2×D5—24no—
484C2×D5—24no—
485C2×D5—42no—
486C2×D5—42no—
487C2×D5—42no—
488C2×D5—42no—
489C4×C5—22no—
490C4×C5—62no—
491C4×C5—62no—
492C4×C5—62no—
493C4×C5C4×#6714yescomplemented
494C4×C5#93814yescomplemented
495Dic5—42no—
496Dic5—64no—
497Dic5—122no—
498C24—31no—
499C24—52no—
500C2×D4—54no—
501C2×D4—102no—
502C2×D4—102no—
503C2×D4—158no—
504C2×D4—304no—
505C2×D4—304no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—31no—
509C22×C4—34no—
510C22×C4—34no—
511C22×C4—52no—
512C22×C4—62no—
513C22×C4—62no—
514C22×C4—62no—
515C22×C4—62no—
516C22×C4—62no—
517C22×C4—62no—
518C22×C4—62no—
519C22×C4—104no—
520C22×C4—104no—
521C22×C4—104no—
522C22×C4—152no—
523C22×C4—152no—
524C22×C4C2×D3×D511yescharacteristic
525C22×C4C2×D3×D511yescharacteristic
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—102no—
528C4⋊C4—154no—
529C4⋊C4—304no—
530C4⋊C4—302no—
531C22⋊C4—104no—
532C22⋊C4—158no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—304no—
536C42—62no—
537C42—62no—
538C42—62no—
539C42—304no—
540C42#120114yescomplemented
541C3×C5C4×#12111yescharacteristic, complemented, Hall
542C22×C3—104no—
543C22×C3—104no—
544C22×C3—104no—
545C22×C3—202no—
546C22×C3—202no—
547C22×C3—202no—
548C22×C3—202no—
549C22×C3C22×C4×D511yescharacteristic
550C22×C3C22×D2011yescharacteristic
551C22×C3C2×#70911yescharacteristic
552C22×C3C2×#70911yescharacteristic
553C22×C3C2×#70911yescharacteristic
554C22×C3C2×#70911yescharacteristic
555C22×C3C22×C22⋊D511yescharacteristic
556C2×D3—22no—
557C2×D3—22no—
558C2×D3—22no—
559C2×D3—22no—
560C2×D3—22no—
561C2×D3—22no—
562C2×D3C4×D2014yescomplemented
563C3×C4—22no—
564C3×C4—202no—
565C3×C4C4×C22⋊D514yescomplemented
566C3×C4#407614yescomplemented
567Dic3—22no—
568Dic3—22no—
569Dic3—22no—
570Dic3—104no—
571Dic3—202no—
572C2×C5—64no—
573C2×C5C4×#23711yescharacteristic
574C2×C5C4×D3×D411yescharacteristic
575C2×C5#554811yescharacteristic
576C2×C5#555711yescharacteristic
577C2×C5C2×C4×#6711yescharacteristic
578C2×C5C2×#93811yescharacteristic
579C2×C5#582811yescharacteristic
580D5—44no—
581C23—32no—
582C23—32no—
583C23—32no—
584C23—54no—
585C23—61no—
586C23—61no—
587C23—61no—
588C23—61no—
589C23—102no—
590C23—102no—
591C23—102no—
592C23—102no—
593C23—102no—
594C23—102no—
595C23C22×D3×D511yescharacteristic
596D4—108no—
597D4—3016no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—32no—
601C2×C4—32no—
602C2×C4—32no—
603C2×C4—68no—
604C2×C4—61no—
605C2×C4—61no—
606C2×C4—61no—
607C2×C4—61no—
608C2×C4—61no—
609C2×C4—61no—
610C2×C4—68no—
611C2×C4—68no—
612C2×C4—102no—
613C2×C4—102no—
614C2×C4—102no—
615C2×C4—154no—
616C2×C4—208no—
617C2×C4—302no—
618C2×C4—302no—
619C2×C4—302no—
620C2×C4—302no—
621C2×C4—302no—
622C2×C4#676512yes—
623C2×C4#677112yes—
624C2×C4C4×D3×D512yes—
625C2×C4D3×D2012yes—
626C2×C4C2×#120112yes—
627C2×C4C2×#120112yes—
628C2×C4C2×#120112yes—
629C2×C3—204no—
630C2×C3C2×C4×D2011yescharacteristic
631C2×C3C4×#70911yescharacteristic
632C2×C3#6581111yescharacteristic
633C2×C3#6581311yescharacteristic
634C2×C3C2×C4×C22⋊D511yescharacteristic
635C2×C3C2×#407611yescharacteristic
636C2×C3#6612511yescharacteristic
637D3—24no—
638C5C4×#93811yescharacteristic, complemented, Sylow
639C22—34no—
640C22—62no—
641C22—62no—
642C22—62no—
643C22—62no—
644C22—62no—
645C22—62no—
646C22—104no—
647C22—104no—
648C22—104no—
649C22—202no—
650C22—202no—
651C22—202no—
652C22—202no—
653C22C2×#676511yescharacteristic
654C22C2×#677111yescharacteristic
655C22C2×C4×D3×D511yescharacteristic
656C22C2×D3×D2011yescharacteristic
657C22D3×#70911yescharacteristic
658C22D3×#70911yescharacteristic
659C22C22×#120111yescharacteristic
660C4—22no—
661C4—62no—
662C4—62no—
663C4—62no—
664C4—202no—
665C4—304no—
666C4—602no—
667C4C4×#120114yescomplemented
668C4#9145614yesdirect product factor
669C3C4×#407611yescharacteristic, complemented, Sylow
670C2—64no—
671C2—204no—
672C2C4×#676511yescharacteristic
673C2#1175267511yescharacteristic
674C2#1175269511yescharacteristic
675C2C4×D3×D2011yescharacteristic
676C2C2×C4×#120111yescharacteristic
677C2C2×#9145611yescharacteristic
678C2#1175457711yescharacteristic
subgroupG/H
centerC22×C4C2×D3×D5
commutatorC22×C3×C5C23×C4
FrattiniC23C22×D3×D5
FittingC2×C3×C42×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC2×#91456C2
hypercenterC2×C42D3×D5
hypocenterC3×C5C4×#121
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×C42×C5×D3C2semidirect
2. C2×C3×C4×D20C2semidirect
4. C2×C4×#1201C2semidirect
5. C4×C4⋊Dic15C2semidirect
6. #11748910C2semidirect
7. #11748858C2semidirect
8. #11748786C2semidirect
9. #11748785C2semidirect
10. #11748705C2semidirect
11. C4×#6665C2semidirect
35. #91456C4direct (N × H)
44. C2×C4×D20D3semidirect
69. C2×C4×C5×D3C2×C4semidirect
70. C2×C4×C5×D3D4semidirect
74. C2×C3×D20C2×C4semidirect
80. C2×#1201C2×C4semidirect
81. C3×C42×C5D4semidirect
83. C4⋊Dic15C2×C4semidirect
94. #6665C2×C4semidirect
98. C2×C42×D3D5semidirect
234. C2×D20C4×D3semidirect
241. C42×C5#67semidirect
276. C2×C5×D3C4×D4semidirect
285. C3×C4×C5C4×D4semidirect
286. C3×C4×C5#121semidirect
320. C2×C4×D3C4×D5semidirect
321. C2×C4×D3D20semidirect
324. C3×C42C22⋊D5semidirect
493. C4×C5C4×#67semidirect
494. C4×C5#938semidirect
540. C42#1201semidirect
541. C3×C5C4×#121semidirect
562. C2×D3C4×D20semidirect
565. C3×C4C4×C22⋊D5semidirect
566. C3×C4#4076semidirect
638. C5C4×#938semidirect
667. C4C4×#1201semidirect
668. C4#91456direct (N × H)
669. C3C4×#4076semidirect

Maximal subgroups

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

subgroupindex
C2×C42×C5×D32
C2×C3×C4×D202
C2×#914562
C2×C4×#12012
C4×C4⋊Dic152
#117489102
#117488582
#117487862
#117487852
#117487052
C4×#66652
C4×#40763
C4×#9385