Finite Group Databasebeta

← C4×#65511 #12021091

Subgroups — C4×#65511 #12021091

Order 1280.

2550 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C5×D4C211yesmaximal, characteristic
2C2×#65511C211yesmaximal, characteristic
3C2×C4×C22⋊Dic5C212yesmaximal, complemented
4C2×C4×C22⋊Dic5C212yesmaximal, complemented
5C2×C4×#683C211yesmaximal, characteristic, complemented
6#10602924C211yesmaximal, characteristic
7#10602360C211yesmaximal, characteristic, complemented
8#10602359C211yesmaximal, characteristic, complemented
9#10602342C212yesmaximal, complemented
10#10602340C212yesmaximal, complemented
11C4×#3963C211yesmaximal, characteristic, complemented
12C23×C5×D4C2211yescharacteristic
13C24×C4×C5C2212yes—
14C2×C4×C5×D4—28no—
15C2×C4×C5×D4—24no—
16C22×C5×C4⋊C4C2211yescharacteristic
17C22×C5×C22⋊C4C2212yes—
18C22×C42×C5C2211yescharacteristic
19C22×C22⋊Dic5C2212yes—
20C22×C22⋊Dic5C2212yes—
21C22×C22⋊Dic5C2212yes—
22C22×C22⋊Dic5C2212yes—
23C22×#683C2211yescharacteristic
24C22×#683C2211yescharacteristic
25C22×C4×Dic5C2211yescharacteristic
26C22×C4×Dic5C2212yes—
27C22×C4×Dic5C2211yescharacteristic
28#65511C418yesdirect product factor
29C4×C22⋊Dic5—28no—
30C4×C22⋊Dic5—28no—
31C2×#3963C2211yescharacteristic
32C2×#3963C2211yescharacteristic
33C2×#3963C2212yes—
34C2×#3963C2211yescharacteristic
35C2×#3963C2212yes—
36C2×#3963C2212yes—
37C2×#3963C2212yes—
38C2×#3963C2212yes—
39C2×#3963C2211yescharacteristic
40C4×#683—24no—
41C4×#394—51nomaximal, Sylow
42C25×C5C2312yes—
43C22×C5×D4—24no—
44C22×C5×D4—24no—
45C22×C5×D4—22no—
46C22×C5×D4—22no—
47C22×C5×D4C2×C414yes—
48C23×C4×C5—24no—
49C23×C4×C5—24no—
50C23×C4×C5—24no—
51C23×C4×C5—24no—
52C23×C4×C5—24no—
53C23×C4×C5—24no—
54C23×C4×C5D418yes—
55C23×C4×C5C2311yescharacteristic
56C23×C4×C5C2312yes—
57C23×C4×C5C2311yescharacteristic
58C23×C4×C5C2311yescharacteristic
59C23×Dic5C2311yescharacteristic
60C23×Dic5C2312yes—
61C23×Dic5C2311yescharacteristic
62C23×Dic5C2311yescharacteristic
63C23×Dic5C2312yes—
64C23×Dic5C2311yescharacteristic
65C4×C5×D4—232no—
66C2×C5×C4⋊C4—24no—
67C2×C5×C4⋊C4—22no—
68C2×C5×C22⋊C4—24no—
69C2×C5×C22⋊C4—24no—
70C2×C5×C22⋊C4—24no—
71C2×C42×C5—24no—
72C2×C42×C5D414yes—
73C2×C22⋊Dic5—24no—
74C2×C22⋊Dic5—24no—
75C2×C22⋊Dic5—24no—
76C2×C22⋊Dic5—24no—
77C2×C22⋊Dic5—24no—
78C2×C22⋊Dic5—24no—
79C2×C22⋊Dic5—24no—
80C2×C22⋊Dic5—24no—
81C2×C22⋊Dic5—24no—
82C2×C22⋊Dic5—24no—
83C2×C22⋊Dic5C2×C418yescomplemented
84C2×C22⋊Dic5C2×C418yescomplemented
85C2×#683—22no—
86C2×#683—22no—
87C2×#683—22no—
88C2×#683—22no—
89C2×#683—22no—
90C2×#683C2×C414yescomplemented
91C2×C4×Dic5—22no—
92C2×C4×Dic5—22no—
93C2×C4×Dic5—22no—
94C2×C4×Dic5—24no—
95C2×C4×Dic5—24no—
96C2×C4×Dic5—24no—
97C2×C4×Dic5—24no—
98C2×C4×Dic5D414yescomplemented
99#3963—22no—
100#3963—22no—
101#3963—24no—
102#3963—24no—
103#3963—22no—
104#3963—24no—
105#3963—24no—
106#3963—24no—
107#3963C2×C414yescomplemented
108C22×C4×D4D511yescharacteristic
109C2×#394—51no—
110C2×C4×C4⋊C4—51no—
111C2×C4×C22⋊C4—52no—
112C2×C4×C22⋊C4—52no—
113#1442—51no—
114#1441—51no—
115#1440—52no—
116#1439—52no—
117#1438—51no—
118C4×#95—51no—
119C24×C5—22no—
120C24×C5—22no—
121C24×C5—22no—
122C24×C5—22no—
123C24×C5—22no—
124C24×C5—22no—
125C24×C5—22no—
126C24×C5—22no—
127C24×C5—22no—
128C24×C5—22no—
129C24×C5—22no—
130C24×C5—22no—
131C24×C5C22×C414yes—
132C24×C5C2×D414yes—
133C24×C5#4114yes—
134C24×C5C2411yescharacteristic
135C2×C5×D4—28no—
136C2×C5×D4—28no—
137C2×C5×D4—216no—
138C2×C5×D4—216no—
139C2×C5×D4—28no—
140C22×C4×C5—22no—
141C22×C4×C5—22no—
142C22×C4×C5—22no—
143C22×C4×C5—22no—
144C22×C4×C5—22no—
145C22×C4×C5—22no—
146C22×C4×C5—22no—
147C22×C4×C5—22no—
148C22×C4×C5—22no—
149C22×C4×C5—22no—
150C22×C4×C5—21no—
151C22×C4×C5—21no—
152C22×C4×C5—216no—
153C22×C4×C5—216no—
154C22×C4×C5—216no—
155C22×C4×C5—48no—
156C22×C4×C5—48no—
157C22×C4×C5—48no—
158C22×C4×C5—48no—
159C22×C4×C5C22×C412yes—
160C22×C4×C5C2×D412yes—
161C22×C4×C5C2×D412yes—
162C22×C4×C5C2×D414yes—
163C22×C4×C5C2×D412yes—
164C22×C4×C5C2×D414yes—
165C22×C4×C5C2×D412yes—
166C22×C4×C5#4112yes—
167C22×C4×C5#4112yes—
168C22×C4×C5#4114yes—
169C22×Dic5—21no—
170C22×Dic5—21no—
171C22×Dic5—21no—
172C22×Dic5—21no—
173C22×Dic5—22no—
174C22×Dic5—22no—
175C22×Dic5—22no—
176C22×Dic5—22no—
177C22×Dic5—22no—
178C22×Dic5—22no—
179C22×Dic5—21no—
180C22×Dic5—21no—
181C22×Dic5—21no—
182C22×Dic5—22no—
183C22×Dic5—22no—
184C22×Dic5—22no—
185C22×Dic5—22no—
186C22×Dic5—22no—
187C22×Dic5—22no—
188C22×Dic5—22no—
189C22×Dic5—22no—
190C22×Dic5—22no—
191C22×Dic5—22no—
192C22×Dic5—22no—
193C22×Dic5—21no—
194C22×Dic5—22no—
195C22×Dic5—21no—
196C22×Dic5—21no—
197C22×Dic5C22×C414yes—
198C22×Dic5C22×C412yes—
199C22×Dic5C22×C412yes—
200C22×Dic5C2×D412yes—
201C22×Dic5C2×D412yes—
202C22×Dic5#4114yes—
203C22×Dic5#4112yes—
204C22×Dic5#4112yes—
205C5×C4⋊C4—28no—
206C5×C22⋊C4—216no—
207C42×C5—28no—
208C22⋊Dic5—216no—
209C22⋊Dic5—216no—
210C22⋊Dic5—216no—
211C22⋊Dic5—216no—
212#683—28no—
213#683—28no—
214C4×Dic5—28no—
215C4×Dic5—44no—
216C4×Dic5—48no—
217C23×D4C2×D511yescharacteristic
218C24×C4C2×D512yes—
219C2×C4×D4—28no—
220C2×C4×D4—24no—
221C22×C4⋊C4—51no—
222C22×C4⋊C4—51no—
223C22×C4⋊C4C2×D511yescharacteristic
224C22×C22⋊C4—52no—
225C22×C22⋊C4—52no—
226C22×C22⋊C4—52no—
227C22×C22⋊C4—52no—
228C22×C22⋊C4C2×D512yes—
229C22×C42—51no—
230C22×C42—52no—
231C22×C42—51no—
232C22×C42C2×D511yescharacteristic
233#394—58no—
234C4×C4⋊C4—104no—
235C4×C22⋊C4—108no—
236C4×C22⋊C4—108no—
237C2×#95—51no—
238C2×#95—51no—
239C2×#95—52no—
240C2×#95—51no—
241C2×#95—52no—
242C2×#95—52no—
243C2×#95—51no—
244C2×#95—52no—
245C2×#95—52no—
246C23×C5—24no—
247C23×C5—24no—
248C23×C5—24no—
249C23×C5—24no—
250C23×C5—24no—
251C23×C5—24no—
252C23×C5—24no—
253C23×C5—24no—
254C23×C5—24no—
255C23×C5—24no—
256C23×C5—24no—
257C23×C5—24no—
258C23×C5—24no—
259C23×C5—24no—
260C23×C5—24no—
261C23×C5—24no—
262C23×C5—24no—
263C23×C5—24no—
264C23×C5—42no—
265C23×C5—42no—
266C23×C5—42no—
267C23×C5—42no—
268C23×C5—42no—
269C23×C5—42no—
270C23×C5—42no—
271C23×C5—42no—
272C23×C5—42no—
273C23×C5—42no—
274C23×C5—42no—
275C23×C5—42no—
276C23×C5—42no—
277C23×C5—42no—
278C23×C5—42no—
279C23×C5—42no—
280C23×C5C4×D418yes—
281C23×C5C23×C411yescharacteristic
282C23×C5C22×D411yescharacteristic
283C23×C5C22×D412yes—
284C23×C5C22×D411yescharacteristic
285C23×C5C2×#4112yes—
286C23×C5C2×#4111yescharacteristic
287C23×C5C2×#4111yescharacteristic
288C23×C5C2×#4112yes—
289C23×C5C2×#4111yescharacteristic
290C23×C5C2×#4111yescharacteristic
291C23×C5C2×#4112yes—
292C5×D4—232no—
293C2×C4×C5—24no—
294C2×C4×C5—22no—
295C2×C4×C5—22no—
296C2×C4×C5—24no—
297C2×C4×C5—22no—
298C2×C4×C5—24no—
299C2×C4×C5—24no—
300C2×C4×C5—24no—
301C2×C4×C5—22no—
302C2×C4×C5—22no—
303C2×C4×C5—42no—
304C2×C4×C5—42no—
305C2×C4×C5—42no—
306C2×C4×C5—42no—
307C2×C4×C5—42no—
308C2×C4×C5—42no—
309C2×C4×C5—432no—
310C2×C4×C5C4×D414yes—
311C2×C4×C5#12014yes—
312C2×C4×C5#12114yes—
313C2×C4×C5#12118yes—
314C2×C4×C5#12318yes—
315C2×C4×C5#12414yes—
316C2×Dic5—22no—
317C2×Dic5—22no—
318C2×Dic5—22no—
319C2×Dic5—22no—
320C2×Dic5—22no—
321C2×Dic5—22no—
322C2×Dic5—22no—
323C2×Dic5—24no—
324C2×Dic5—24no—
325C2×Dic5—24no—
326C2×Dic5—24no—
327C2×Dic5—22no—
328C2×Dic5—22no—
329C2×Dic5—24no—
330C2×Dic5—24no—
331C2×Dic5—24no—
332C2×Dic5—24no—
333C2×Dic5—24no—
334C2×Dic5—41no—
335C2×Dic5—41no—
336C2×Dic5—42no—
337C2×Dic5—42no—
338C2×Dic5—42no—
339C2×Dic5—41no—
340C2×Dic5—42no—
341C2×Dic5—41no—
342C2×Dic5—42no—
343C2×Dic5—42no—
344C2×Dic5—42no—
345C2×Dic5—42no—
346C2×Dic5—42no—
347C2×Dic5—41no—
348C2×Dic5—42no—
349C2×Dic5—41no—
350C2×Dic5—42no—
351C2×Dic5C4×D414yescomplemented
352C25C22×D512yes—
353C22×D4—24no—
354C22×D4—24no—
355C22×D4—22no—
356C22×D4—22no—
357C22×D4C4×D514yes—
358C23×C4—24no—
359C23×C4—24no—
360C23×C4—24no—
361C23×C4—24no—
362C23×C4—24no—
363C23×C4—24no—
364C23×C4—51no—
365C23×C4—51no—
366C23×C4—51no—
367C23×C4—52no—
368C23×C4—51no—
369C23×C4—52no—
370C23×C4C22⋊D518yes—
371C23×C4C22×D511yescharacteristic
372C23×C4C22×D512yes—
373C23×C4C22×D511yescharacteristic
374C23×C4C22×D511yescharacteristic
375C4×D4—232no—
376C2×C4⋊C4—24no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—54no—
379C2×C4⋊C4—102no—
380C2×C4⋊C4—102no—
381C2×C4⋊C4—102no—
382C2×C4⋊C4—102no—
383C2×C4⋊C4—102no—
384C2×C22⋊C4—24no—
385C2×C22⋊C4—24no—
386C2×C22⋊C4—24no—
387C2×C22⋊C4—58no—
388C2×C22⋊C4—58no—
389C2×C22⋊C4—104no—
390C2×C22⋊C4—104no—
391C2×C22⋊C4—104no—
392C2×C22⋊C4—104no—
393C2×C22⋊C4—104no—
394C2×C22⋊C4—104no—
395C2×C22⋊C4—104no—
396C2×C22⋊C4—104no—
397C2×C22⋊C4—104no—
398C2×C22⋊C4—104no—
399C2×C42—24no—
400C2×C42—54no—
401C2×C42—102no—
402C2×C42—102no—
403C2×C42—104no—
404C2×C42—104no—
405C2×C42—104no—
406C2×C42—104no—
407C2×C42—102no—
408C2×C42C22⋊D514yes—
409#95—54no—
410#95—104no—
411#95—104no—
412#95—104no—
413#95—102no—
414#95—104no—
415#95—104no—
416#95—102no—
417#95—102no—
418C22×C5—28no—
419C22×C5—28no—
420C22×C5—28no—
421C22×C5—44no—
422C22×C5—44no—
423C22×C5—44no—
424C22×C5—44no—
425C22×C5—44no—
426C22×C5—44no—
427C22×C5—44no—
428C22×C5—44no—
429C22×C5—44no—
430C22×C5—44no—
431C22×C5—44no—
432C22×C5—44no—
433C22×C5C2×C4×D412yes—
434C22×C5C2×C4×D411yescharacteristic
435C22×C5C2×C4×D411yescharacteristic
436C22×C5C4×#4111yescharacteristic
437C22×C5C4×#4112yes—
438C22×C5C2×#12011yescharacteristic
439C22×C5C2×#12111yescharacteristic
440C22×C5C2×#12112yes—
441C22×C5C2×#12312yes—
442C22×C5#52512yes—
443C22×C5#52511yescharacteristic
444C22×C5#52512yes—
445C22×C5#52512yes—
446C22×C5#52511yescharacteristic
447C22×C5C2×#12411yescharacteristic
448C22×C5#52912yes—
449C22×C5#52912yes—
450C22×C5#52912yes—
451C22×C5#52912yes—
452C22×C5#52911yescharacteristic
453C22×C5#53211yescharacteristic
454C22×C5#53211yescharacteristic
455C22×C5#53212yes—
456C4×C5—24no—
457C4×C5—44no—
458C4×C5—42no—
459C4×C5#39418yescomplemented
460Dic5—24no—
461Dic5—42no—
462Dic5—44no—
463Dic5—42no—
464Dic5—42no—
465Dic5—44no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24—22no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—22no—
478C24C2×C4×D514yes—
479C24#70914yes—
480C24C2×C22⋊D514yes—
481C24C23×D511yescharacteristic
482C2×D4—28no—
483C2×D4—216no—
484C2×D4—28no—
485C2×D4—216no—
486C2×D4—28no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—216no—
500C22×C4—216no—
501C22×C4—216no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—52no—
507C22×C4—52no—
508C22×C4—52no—
509C22×C4—54no—
510C22×C4—52no—
511C22×C4—52no—
512C22×C4—54no—
513C22×C4—52no—
514C22×C4—101no—
515C22×C4—101no—
516C22×C4—101no—
517C22×C4—101no—
518C22×C4—102no—
519C22×C4—102no—
520C22×C4—102no—
521C22×C4—102no—
522C22×C4—102no—
523C22×C4—101no—
524C22×C4—102no—
525C22×C4—102no—
526C22×C4—102no—
527C22×C4—101no—
528C22×C4—102no—
529C22×C4—102no—
530C22×C4—102no—
531C22×C4—102no—
532C22×C4—102no—
533C22×C4—102no—
534C22×C4—101no—
535C22×C4—101no—
536C22×C4—102no—
537C22×C4—102no—
538C22×C4—102no—
539C22×C4—102no—
540C22×C4—101no—
541C22×C4—101no—
542C22×C4C2×C4×D512yes—
543C22×C4#70912yes—
544C22×C4D4×D512yes—
545C22×C4#71112yes—
546C22×C4#71114yes—
547C22×C4C2×C22⋊D514yes—
548C22×C4C2×C22⋊D512yes—
549C22×C4C2×C22⋊D512yes—
550C22×C4C2×C22⋊D514yes—
551C22×C4C2×C22⋊D512yes—
552C4⋊C4—28no—
553C4⋊C4—108no—
554C4⋊C4—108no—
555C22⋊C4—216no—
556C22⋊C4—1016no—
557C22⋊C4—1016no—
558C22⋊C4—1016no—
559C22⋊C4—1016no—
560C42—28no—
561C42—108no—
562C42—204no—
563C42—208no—
564C2×C5—48no—
565C2×C5C4×#12011yescharacteristic
566C2×C5C4×#12112yes—
567C2×C5C4×#12111yescharacteristic
568C2×C5C4×#12312yes—
569C2×C5C4×#12411yescharacteristic
570C2×C5C2×#39411yescharacteristic
571C2×C5#238811yescharacteristic
572C2×C5#239212yes—
573C2×C5#239211yescharacteristic
574C2×C5#239512yes—
575C2×C5#239811yescharacteristic
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23C4×C22⋊D518yes—
611C23C22×C4×D511yescharacteristic
612C23C2×#70912yes—
613C23C2×#70911yescharacteristic
614C23C2×D4×D511yescharacteristic
615C23C2×#71111yescharacteristic
616C23C2×#71112yes—
617C23D5×#4111yescharacteristic
618C23D5×#4112yes—
619C23D5×#4111yescharacteristic
620C23C22×C22⋊D512yes—
621C23C22×C22⋊D511yescharacteristic
622D4—232no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—432no—
640C2×C4—54no—
641C2×C4—102no—
642C2×C4—102no—
643C2×C4—102no—
644C2×C4—102no—
645C2×C4—102no—
646C2×C4—102no—
647C2×C4—104no—
648C2×C4—104no—
649C2×C4—102no—
650C2×C4—104no—
651C2×C4—104no—
652C2×C4—102no—
653C2×C4—104no—
654C2×C4—104no—
655C2×C4—104no—
656C2×C4—104no—
657C2×C4—104no—
658C2×C4—102no—
659C2×C4—202no—
660C2×C4—201no—
661C2×C4—202no—
662C2×C4—201no—
663C2×C4—202no—
664C2×C4—202no—
665C2×C4—202no—
666C2×C4—202no—
667C2×C4—202no—
668C2×C4—202no—
669C2×C4—202no—
670C2×C4—202no—
671C2×C4—201no—
672C2×C4—202no—
673C2×C4—201no—
674C2×C4—201no—
675C2×C4—201no—
676C2×C4C4×C22⋊D514yes—
677C2×C4#408118yes—
678C2×C4#408214yes—
679C2×C4#408414yes—
680C2×C4#408518yes—
681C2×C4#409914yes—
682C5C4×#39411yescharacteristic, complemented, Sylow
683C22—28no—
684C22—28no—
685C22—28no—
686C22—44no—
687C22—44no—
688C22—44no—
689C22—44no—
690C22—44no—
691C22—44no—
692C22—44no—
693C22—44no—
694C22—44no—
695C22—44no—
696C22—44no—
697C22—44no—
698C22C4×#71112yes—
699C22C4×#71111yescharacteristic
700C22#6587212yes—
701C22#6587212yes—
702C22#6587212yes—
703C22C4×D4×D511yescharacteristic
704C22#6588112yes—
705C22#6588211yescharacteristic
706C22#6589112yes—
707C22#6589111yescharacteristic
708C22C2×C4×C22⋊D512yes—
709C22C2×C4×C22⋊D511yescharacteristic
710C22#6612512yes—
711C22#6612511yescharacteristic
712C22C2×#408112yes—
713C22C2×#408211yescharacteristic
714C22C2×#408411yescharacteristic
715C22C2×#408512yes—
716C22#6616212yes—
717C22#6616211yescharacteristic
718C22#6616612yes—
719C22#6616611yescharacteristic
720C22C2×#409911yescharacteristic
721C4—24no—
722C4—42no—
723C4—44no—
724C4—104no—
725C4—202no—
726C4—204no—
727C4—204no—
728C4—202no—
729C4—202no—
730C4#6551118yesdirect product factor
731C2—48no—
732C2C4×#408512yes—
733C2C4×#408112yes—
734C2C4×#408211yescharacteristic
735C2#1061407612yes—
736C2#1061407712yes—
737C2#1061407911yescharacteristic
738C2C4×#408411yescharacteristic
739C2#1061413211yescharacteristic
740C2C4×#409911yescharacteristic
741C2C2×#6551111yescharacteristic
742C2#1061582611yescharacteristic
subgroupG/H
centerC23×C4C22×D5
commutatorC23×C5C23×C4
FrattiniC24C23×D5
FittingC22×C4×C5×D4C2
socle, cosocleC24×C5C24
prime radicalC23×C5×D4C22
hypercenterC22×C4×D4D5
hypocenterC5C4×#394
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23×C4 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
3. C2×C4×C22⋊Dic5C2semidirect
4. C2×C4×C22⋊Dic5C2semidirect
5. C2×C4×#683C2semidirect
7. #10602360C2semidirect
8. #10602359C2semidirect
9. #10602342C2semidirect
10. #10602340C2semidirect
11. C4×#3963C2semidirect
28. #65511C4direct (N × H)
83. C2×C22⋊Dic5C2×C4semidirect
84. C2×C22⋊Dic5C2×C4semidirect
90. C2×#683C2×C4semidirect
98. C2×C4×Dic5D4semidirect
107. #3963C2×C4semidirect
351. C2×Dic5C4×D4semidirect
459. C4×C5#394semidirect
682. C5C4×#394semidirect
730. C4#65511direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C5×D42
C2×#655112
C2×C4×C22⋊Dic52
C2×C4×#6832
#106029242
#106023602
#106023592
#106023422
#106023402
C4×#39632
C4×#3945