Finite Group Databasebeta

← C4×#91460 #14321499

Subgroups — C4×#91460 #14321499

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×C4×D60C211yesmaximal, characteristic, complemented
2C2×C42×C5×D3C211yesmaximal, characteristic, complemented
3C2×#91460C211yesmaximal, characteristic
4C2×C4×#1203C212yesmaximal, complemented
5C3×C4×C4⋊Dic5C211yesmaximal, characteristic, complemented
6#11748914C212yesmaximal, complemented
7#11748857C211yesmaximal, characteristic, complemented
8#11748789C211yesmaximal, characteristic, complemented
9#11748786C211yesmaximal, characteristic, complemented
10#11748730C212yesmaximal, complemented
11C4×#6667C212yesmaximal, complemented
12C4×#4076—31nomaximal, Hall
13C22×D60C2211yescharacteristic
14C22×C4×D15C2212yes—
15C22×C4×C5×D3C2211yescharacteristic
16C22×C4×C5×D3C2211yescharacteristic
17C22×C4×C5×D3C2211yescharacteristic
18C22×#1203C2212yes—
19C2×C3×C42×C5C2211yescharacteristic
20C2×#6714C2212yes—
21C2×C4⋊Dic15C2211yescharacteristic
22C4×D60—24no—
23C2×C4×C5×Dic3C2211yescharacteristic
24C2×C4×C5×Dic3C2211yescharacteristic
25C2×C4×C5×Dic3C2211yescharacteristic
26C42×C5×D3—24no—
27C2×C3×C4⋊Dic5C2211yescharacteristic
28C2×C3×C4⋊Dic5C2211yescharacteristic
29C2×C3×C4×Dic5C2212yes—
30C2×#6668C2212yes—
31C2×#6667C2212yes—
32C2×#6667C2212yes—
33C2×#6667C2212yes—
34C2×(C2×D3)⋊Dic5C2212yes—
35#91460C418yesdirect product factor
36C4×#1203—28no—
37C3×#3963C2212yes—
38#90994C2212yes—
39#90994C2212yes—
40C4×#895—51nomaximal, Hall
41C22×C42×C5—31no—
42C2×#4076—31no—
43C2×C4×C22⋊D5—32no—
44C2×C4×D20—31no—
45#65502—32no—
46#65501—31no—
47#65229—32no—
48#65228—31no—
49C4×#685—32no—
50C4×C4⋊Dic5D311yescharacteristic, complemented
51#65217—31no—
52C23×D15C2312yes—
53C23×C5×D3C2311yescharacteristic
54C22×C3×C4×C5C2311yescharacteristic
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2311yescharacteristic
57C22×Dic15C2312yes—
58C2×D60—22no—
59C2×D60—22no—
60C2×D60C2×C414yescomplemented
61C2×C4×D15—24no—
62C2×C4×D15—24no—
63C2×C4×D15—24no—
64C22×C5×Dic3C2311yescharacteristic
65C22×C5×Dic3C2311yescharacteristic
66C22×C5×Dic3C2311yescharacteristic
67C2×C4×C5×D3—22no—
68C2×C4×C5×D3—22no—
69C2×C4×C5×D3—22no—
70C2×C4×C5×D3—22no—
71C2×C4×C5×D3—22no—
72C2×C4×C5×D3—22no—
73C2×C4×C5×D3—22no—
74C2×C4×C5×D3C2×C414yescomplemented
75C2×C4×C5×D3D414yescomplemented
76C22×C3×Dic5C2312yes—
77C22×C3×Dic5C2312yes—
78C2×#1203—24no—
79C2×#1203—24no—
80C2×#1203C2×C418yescomplemented
81C3×C42×C5D414yescomplemented
82#6714—24no—
83C4⋊Dic15—22no—
84C4×C5×Dic3—22no—
85C4×C5×Dic3—22no—
86C4×C5×Dic3—22no—
87C3×C4⋊Dic5—22no—
88C3×C4⋊Dic5C2×C414yescomplemented
89C3×C4×Dic5—24no—
90#6668—24no—
91#6667—24no—
92#6667—24no—
93#6667C2×C418yescomplemented
94(C2×D3)⋊Dic5—24no—
95C2×#895—51no—
96C2×C4×D12—52no—
97C2×C4×D12—51no—
98C2×C42×D3D511yescharacteristic, complemented
99C3×C4×C4⋊C4—51no—
100#4988—51no—
101#4987—51no—
102#4984—51no—
103C4×(C2×D3)⋊C4—52no—
104#4670—52no—
105#4665—52no—
106C23×C4×C5—31no—
107C23×C4×C5—31no—
108C23×C4×C5—31no—
109C22×C22⋊D5—32no—
110C22×D20—31no—
111C22×C4×D5—32no—
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×#685—32no—
124C2×C4⋊Dic5—31no—
125C2×C4⋊Dic5C2×D311yescharacteristic
126C2×C4⋊Dic5C2×D311yescharacteristic
127C2×#683—32no—
128C2×C4×Dic5C2×D312yes—
129C4×D20—64no—
130#3963—32no—
131#3963—32no—
132#3963C2×D312yes—
133C4×#121—151noSylow
134C23×C3×C5C2411yescharacteristic
135C22×D15—22no—
136C22×D15—22no—
137C22×D15—22no—
138C22×D15—22no—
139C22×D15—22no—
140C22×D15—22no—
141C22×D15C22×C414yes—
142C22×C5×D3—21no—
143C22×C5×D3—21no—
144C22×C5×D3—21no—
145C22×C5×D3—21no—
146C22×C5×D3C22×C412yes—
147C22×C5×D3C2×D412yes—
148C22×C5×D3#4112yes—
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—
161D60—28no—
162C4×D15—48no—
163C2×C5×Dic3—21no—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3—21no—
168C2×C5×Dic3—21no—
169C2×C5×Dic3C22×C412yes—
170C2×C5×Dic3C2×D412yes—
171C2×C5×Dic3#4112yes—
172C4×C5×D3—28no—
173C4×C5×D3—28no—
174C4×C5×D3—28no—
175C2×C3×Dic5—22no—
176C2×C3×Dic5—22no—
177C2×C3×Dic5—22no—
178C2×C3×Dic5—22no—
179C2×C3×Dic5—22no—
180C2×C3×Dic5C22×C414yes—
181#1203—216no—
182C22×D12—52no—
183C22×D12—51no—
184C22×C4×D3—52no—
185C22×C4×D3C2×D511yescharacteristic
186C22×C4×D3C2×D511yescharacteristic
187C22×C4×D3C2×D511yescharacteristic
188C2×C3×C4⋊C4—51no—
189C2×C3×C4⋊C4—51no—
190C2×C3×C42—52no—
191C2×C3×C42C2×D511yescharacteristic
192C2×(C2×D3)⋊C4—52no—
193C2×(C2×D3)⋊C4—52no—
194C2×(C2×D3)⋊C4—52no—
195C2×(C2×D3)⋊C4—52no—
196C2×(C2×D3)⋊C4—52no—
197C2×C4⋊Dic3—51no—
198C2×C4⋊Dic3—52no—
199C2×C4×Dic3C2×D511yescharacteristic
200C2×C4×Dic3C2×D511yescharacteristic
201C2×C4×Dic3C2×D511yescharacteristic
202#895—58no—
203C4×D12—108no—
204C4×D12—104no—
205C42×D3—24no—
206C3×#95—52no—
207C3⋊#95—52no—
208C3⋊#95—52no—
209C24×C5—31no—
210C23×D5—32no—
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×Dic5C22×D312yes—
231C22×Dic5C22×D312yes—
232C2×D20—34no—
233C2×D20—62no—
234C2×D20—62no—
235C2×C4×D5—64no—
236C2×C4×D5—64no—
237C2×C4×D5—64no—
238C42×C5—62no—
239C42×C5—62no—
240C42×C5—62no—
241C42×C5D1214yescomplemented
242C22⋊Dic5—64no—
243#685—38no—
244#685—64no—
245#685—64no—
246#685—64no—
247C4⋊Dic5—22no—
248C4⋊Dic5—62no—
249C4⋊Dic5C4×D314yescomplemented
250#683—64no—
251C4×Dic5—24no—
252C2×#121—151no—
253C2×C4×D4—152no—
254C2×C4×D4—151no—
255C22×C42—31no—
256#390—151no—
257#389—151no—
258#388—152no—
259#386—152no—
260#380—151no—
261C4×C4⋊C4—51no—
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×D15—24no—
271C2×D15—24no—
272C2×D15—24no—
273C2×D15—42no—
274C2×D15—42no—
275C2×D15—42no—
276C2×D15—42no—
277C2×C5×D3—22no—
278C2×C5×D3—22no—
279C2×C5×D3—22no—
280C2×C5×D3—22no—
281C2×C5×D3—22no—
282C2×C5×D3—22no—
283C2×C5×D3C4×D414yescomplemented
284C3×C4×C5—22no—
285C3×C4×C5C4×D414yescomplemented
286C3×C4×C5#12114yescomplemented
287Dic15—42no—
288C3×Dic5—24no—
289C3×Dic5—42no—
290C5×Dic3—22no—
291C5×Dic3—22no—
292C5×Dic3—22no—
293C23×D3—52no—
294C23×D3C22×D511yescharacteristic
295C22×C3×C4—52no—
296C22×C3×C4—52no—
297C22×C3×C4C22×D511yescharacteristic
298C22×C3×C4C22×D511yescharacteristic
299C22×C3×C4C22×D511yescharacteristic
300C22×Dic3—52no—
301C22×Dic3C22×D511yescharacteristic
302C22×Dic3C22×D511yescharacteristic
303C22×Dic3C22×D511yescharacteristic
304C2×D12—58no—
305C2×D12—54no—
306C2×D12—104no—
307C2×D12—104no—
308C2×D12—102no—
309C2×D12—102no—
310C2×C4×D3—22no—
311C2×C4×D3—22no—
312C2×C4×D3—22no—
313C2×C4×D3—22no—
314C2×C4×D3—22no—
315C2×C4×D3—22no—
316C2×C4×D3—22no—
317C2×C4×D3—104no—
318C2×C4×D3—104no—
319C2×C4×D3—104no—
320C2×C4×D3C4×D514yescomplemented
321C2×C4×D3D2014yescomplemented
322C3×C4⋊C4—54no—
323C3×C4⋊C4—102no—
324C3×C42—104no—
325C3×C42C22⋊D514yescomplemented
326(C2×D3)⋊C4—58no—
327(C2×D3)⋊C4—104no—
328(C2×D3)⋊C4—104no—
329(C2×D3)⋊C4—104no—
330(C2×D3)⋊C4—104no—
331C4⋊Dic3—102no—
332C4⋊Dic3—104no—
333C4×Dic3—22no—
334C4×Dic3—22no—
335C4×Dic3—22no—
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—34no—
345C22×D5—62no—
346C22×D5—62no—
347C22×D5—62no—
348C22×D5—62no—
349C22×D5—62no—
350C22×D5—62no—
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×C5C2×D1212yes—
367C2×C4×C5C2×D1212yes—
368C2×C4×C5C2×D1212yes—
369C2×C4×C5#23512yes—
370C2×C4×C5D3×D412yes—
371C2×C4×C5#23912yes—
372C22⋊D5—616no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—62no—
379C2×Dic5—62no—
380C2×Dic5—62no—
381C2×Dic5C2×C4×D314yes—
382D20—68no—
383C4×D5—128no—
384C22×D4—152no—
385C22×D4—151no—
386C23×C4—31no—
387C23×C4—31no—
388C23×C4—31no—
389C23×C4—152no—
390#121—158no—
391C4×D4—308no—
392C4×D4—304no—
393C2×C4⋊C4—51no—
394C2×C4⋊C4—51no—
395C2×C4⋊C4—152no—
396C2×C4⋊C4—151no—
397C2×C22⋊C4—152no—
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—52no—
406C2×C42—64no—
407C2×C42D3×D511yescharacteristic
408#95—52no—
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
418D15—44no—
419C5×D3—24no—
420C23×C3C23×D511yescharacteristic
421C22×D3—21no—
422C22×D3—21no—
423C22×D3—21no—
424C22×D3—21no—
425C22×D3—54no—
426C22×D3—102no—
427C22×D3—102no—
428C22×D3—102no—
429C22×D3—102no—
430C22×D3—102no—
431C22×D3—102no—
432C22×D3C2×C4×D512yes—
433C22×D3C2×D2012yes—
434C22×D3#70912yes—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—54no—
438C2×C3×C4—102no—
439C2×C3×C4—102no—
440C2×C3×C4—102no—
441C2×C3×C4—102no—
442C2×C3×C4—102no—
443C2×C3×C4C2×C4×D512yes—
444C2×C3×C4C2×D2012yes—
445C2×C3×C4#70912yes—
446C2×C3×C4#70912yes—
447C2×C3×C4C2×C22⋊D512yes—
448C2×C3×C4C2×C22⋊D512yes—
449C2×C3×C4C2×C22⋊D512yes—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—21no—
456C2×Dic3—102no—
457C2×Dic3—102no—
458C2×Dic3—102no—
459C2×Dic3C2×C4×D512yes—
460C2×Dic3C2×D2012yes—
461C2×Dic3#70912yes—
462D12—1016no—
463D12—108no—
464C4×D3—28no—
465C4×D3—28no—
466C4×D3—28no—
467C4×D3—208no—
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×C5C22×D1211yescharacteristic
477C22×C5C2×#23511yescharacteristic
478C22×C5C2×D3×D411yescharacteristic
479C22×C5C2×#23911yescharacteristic
480C22×C5D3×#4111yescharacteristic
481C22×C5D3×#4111yescharacteristic
482C2×D5—64no—
483C2×D5—64no—
484C2×D5—64no—
485C2×D5—122no—
486C2×D5—122no—
487C2×D5—122no—
488C2×D5—122no—
489C4×C5—22no—
490C4×C5—62no—
491C4×C5—62no—
492C4×C5—62no—
493C4×C5C4×D1214yescomplemented
494C4×C5#89514yescomplemented
495Dic5—24no—
496Dic5—42no—
497Dic5—122no—
498C24—31no—
499C24—152no—
500C2×D4—158no—
501C2×D4—154no—
502C2×D4—304no—
503C2×D4—304no—
504C2×D4—302no—
505C2×D4—302no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—31no—
509C22×C4—34no—
510C22×C4—34no—
511C22×C4—52no—
512C22×C4—52no—
513C22×C4—62no—
514C22×C4—62no—
515C22×C4—62no—
516C22×C4—62no—
517C22×C4—62no—
518C22×C4—62no—
519C22×C4—62no—
520C22×C4—152no—
521C22×C4—304no—
522C22×C4—304no—
523C22×C4—304no—
524C22×C4C2×D3×D511yescharacteristic
525C22×C4C2×D3×D511yescharacteristic
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—54no—
528C4⋊C4—102no—
529C4⋊C4—304no—
530C4⋊C4—302no—
531C22⋊C4—158no—
532C22⋊C4—304no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—304no—
536C42—62no—
537C42—62no—
538C42—62no—
539C42—104no—
540C42#120314yescomplemented
541C3×C5C4×#12111yescharacteristic, complemented, Hall
542C22×C3C22×C4×D511yescharacteristic
543C22×C3C22×D2011yescharacteristic
544C22×C3C2×#70911yescharacteristic
545C22×C3C2×#70911yescharacteristic
546C22×C3C2×#70911yescharacteristic
547C22×C3C2×#70911yescharacteristic
548C22×C3C22×C22⋊D511yescharacteristic
549C2×D3—22no—
550C2×D3—22no—
551C2×D3—22no—
552C2×D3—22no—
553C2×D3—22no—
554C2×D3—22no—
555C2×D3—104no—
556C2×D3—104no—
557C2×D3—104no—
558C2×D3—202no—
559C2×D3—202no—
560C2×D3—202no—
561C2×D3—202no—
562C2×D3C4×D2014yescomplemented
563C3×C4—22no—
564C3×C4—104no—
565C3×C4—202no—
566C3×C4C4×C22⋊D514yescomplemented
567C3×C4#407614yescomplemented
568Dic3—22no—
569Dic3—22no—
570Dic3—22no—
571Dic3—202no—
572C2×C5—64no—
573C2×C5C2×C4×D1211yescharacteristic
574C2×C5C2×#89511yescharacteristic
575C2×C5#552411yescharacteristic
576C2×C5C4×D3×D411yescharacteristic
577C2×C5#554811yescharacteristic
578C2×C5C4×#23911yescharacteristic
579C2×C5#558011yescharacteristic
580D5—124no—
581C23—32no—
582C23—32no—
583C23—32no—
584C23—61no—
585C23—61no—
586C23—61no—
587C23—61no—
588C23—154no—
589C23—302no—
590C23—302no—
591C23—302no—
592C23—302no—
593C23—302no—
594C23—302no—
595C23C22×D3×D511yescharacteristic
596D4—3016no—
597D4—308no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—32no—
601C2×C4—32no—
602C2×C4—32no—
603C2×C4—54no—
604C2×C4—68no—
605C2×C4—61no—
606C2×C4—61no—
607C2×C4—61no—
608C2×C4—61no—
609C2×C4—61no—
610C2×C4—61no—
611C2×C4—68no—
612C2×C4—68no—
613C2×C4—102no—
614C2×C4—102no—
615C2×C4—102no—
616C2×C4—102no—
617C2×C4—102no—
618C2×C4—302no—
619C2×C4—302no—
620C2×C4—302no—
621C2×C4—608no—
622C2×C4#676912yes—
623C2×C4#677112yes—
624C2×C4C4×D3×D512yes—
625C2×C4D3×D2012yes—
626C2×C4C2×#120312yes—
627C2×C4C2×#120312yes—
628C2×C4C2×#120312yes—
629C2×C3C2×C4×D2011yescharacteristic
630C2×C3C4×#70911yescharacteristic
631C2×C3#6581111yescharacteristic
632C2×C3#6581311yescharacteristic
633C2×C3C2×C4×C22⋊D511yescharacteristic
634C2×C3C2×#407611yescharacteristic
635C2×C3#6612511yescharacteristic
636D3—24no—
637D3—204no—
638C5C4×#89511yescharacteristic, complemented, Sylow
639C22—34no—
640C22—62no—
641C22—62no—
642C22—62no—
643C22—62no—
644C22—62no—
645C22—62no—
646C22—304no—
647C22—304no—
648C22—304no—
649C22—602no—
650C22—602no—
651C22—602no—
652C22—602no—
653C22C2×#676911yescharacteristic
654C22C2×#677111yescharacteristic
655C22C2×C4×D3×D511yescharacteristic
656C22C2×D3×D2011yescharacteristic
657C22D3×#70911yescharacteristic
658C22D3×#70911yescharacteristic
659C22C22×#120311yescharacteristic
660C4—22no—
661C4—62no—
662C4—62no—
663C4—62no—
664C4—104no—
665C4—202no—
666C4—602no—
667C4C4×#120314yescomplemented
668C4#9146014yesdirect product factor
669C3C4×#407611yescharacteristic, complemented, Sylow
670C2—64no—
671C2—604no—
672C2#1175249911yescharacteristic
673C2C4×#676911yescharacteristic
674C2#1175267511yescharacteristic
675C2C4×D3×D2011yescharacteristic
676C2C2×C4×#120311yescharacteristic
677C2C2×#9146011yescharacteristic
678C2#1175458411yescharacteristic
subgroupG/H
centerC22×C4C2×D3×D5
commutatorC22×C3×C5C23×C4
FrattiniC23C22×D3×D5
FittingC2×C3×C42×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC2×#91460C2
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×C4×D60C2semidirect
2. C2×C42×C5×D3C2semidirect
4. C2×C4×#1203C2semidirect
5. C3×C4×C4⋊Dic5C2semidirect
6. #11748914C2semidirect
7. #11748857C2semidirect
8. #11748789C2semidirect
9. #11748786C2semidirect
10. #11748730C2semidirect
11. C4×#6667C2semidirect
35. #91460C4direct (N × H)
50. C4×C4⋊Dic5D3semidirect
60. C2×D60C2×C4semidirect
74. C2×C4×C5×D3C2×C4semidirect
75. C2×C4×C5×D3D4semidirect
80. C2×#1203C2×C4semidirect
81. C3×C42×C5D4semidirect
88. C3×C4⋊Dic5C2×C4semidirect
93. #6667C2×C4semidirect
98. C2×C42×D3D5semidirect
241. C42×C5D12semidirect
249. C4⋊Dic5C4×D3semidirect
283. C2×C5×D3C4×D4semidirect
285. C3×C4×C5C4×D4semidirect
286. C3×C4×C5#121semidirect
320. C2×C4×D3C4×D5semidirect
321. C2×C4×D3D20semidirect
325. C3×C42C22⋊D5semidirect
493. C4×C5C4×D12semidirect
494. C4×C5#895semidirect
540. C42#1203semidirect
541. C3×C5C4×#121semidirect
562. C2×D3C4×D20semidirect
566. C3×C4C4×C22⋊D5semidirect
567. C3×C4#4076semidirect
638. C5C4×#895semidirect
667. C4C4×#1203semidirect
668. C4#91460direct (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×C4×D602
C2×C42×C5×D32
C2×#914602
C2×C4×#12032
C3×C4×C4⋊Dic52
#117489142
#117488572
#117487892
#117487862
#117487302
C4×#66672
C4×#40763
C4×#8955