Finite Group Databasebeta

← #12007209

Subgroups — #12007209

Order 1280.

958 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65274C211yesmaximal, characteristic
2C2×#65265C211yesmaximal, characteristic
3C2×C5×#340C211yesmaximal, characteristic
4C2×#64771C211yesmaximal, characteristic
5C2×#64770C211yesmaximal, characteristic
6C2×#64749C211yesmaximal, characteristic
7C2×#64749C211yesmaximal, characteristic
8C23×C5×C8C2211yescharacteristic
9C22×C5×C4⋊C4C2211yescharacteristic
10C22×C5×C4⋊C4C2211yescharacteristic
11C22×C4⋊Dic5—21no—
12C22×C4⋊Dic5C2211yescharacteristic
13C22×C4⋊Dic5C2211yescharacteristic
14C22×#683—21no—
15C22×#683—21no—
16C22×C4×Dic5C2211yescharacteristic
17C23×#168C2211yescharacteristic
18C2×#3963—21no—
19#65274—22no—
20#65274C414yescomplemented
21#65265—22no—
22#65265—22no—
23C5×#340—22no—
24#64771—22no—
25#64770—22no—
26#64749—22no—
27#64749—22no—
28#11207—51nomaximal, Sylow
29C23×C4×C5—21no—
30C23×C4×C5—21no—
31C23×C4×C5C2311yescharacteristic
32C23×Dic5—21no—
33C23×Dic5—21no—
34C23×Dic5D411yescharacteristic
35C23×Dic5D411yescharacteristic
36C22×C5×C8—21no—
37C22×C5×C8—21no—
38C22×C5×C8—21no—
39C22×C5×C8—21no—
40C22×C5×C8—21no—
41C22×C5×C8—21no—
42C22×C5×C8Q812yes—
43C2×C5×C4⋊C4—21no—
44C2×C5×C4⋊C4—21no—
45C2×C5×C4⋊C4—21no—
46C2×C5×C4⋊C4—21no—
47C2×C5×C4⋊C4—21no—
48C2×C5×C4⋊C4—21no—
49C2×C5×C4⋊C4—21no—
50C2×C5×C4⋊C4—21no—
51C2×C5×C4⋊C4C2×C412yes—
52C2×C5×C4⋊C4D412yes—
53C2×C5×C4⋊C4D412yes—
54C2×C5×C4⋊C4Q812yes—
55C2×C4⋊Dic5—21no—
56C2×C4⋊Dic5—21no—
57C2×C4⋊Dic5—21no—
58C2×C4⋊Dic5—21no—
59C2×C4⋊Dic5—21no—
60C2×C4⋊Dic5—21no—
61C2×C4⋊Dic5—21no—
62C2×C4⋊Dic5—21no—
63C2×C4⋊Dic5—21no—
64C2×C4⋊Dic5—21no—
65C2×C4⋊Dic5—24no—
66C2×C4⋊Dic5—42no—
67C2×C4⋊Dic5—42no—
68C2×C4⋊Dic5C2×C412yes—
69C2×C4⋊Dic5D412yes—
70C2×#683—24no—
71C2×#683—24no—
72C2×#683—42no—
73C2×#683—42no—
74C2×#683—42no—
75C2×#683—42no—
76C2×C4×Dic5—21no—
77C2×C4×Dic5—21no—
78C2×C4×Dic5—21no—
79C2×C4×Dic5—21no—
80C2×C4×Dic5C2×C412yes—
81C2×C4×Dic5D412yes—
82C22×#168—21no—
83C22×#168—21no—
84C22×#168—21no—
85C22×#168—21no—
86C22×#168—21no—
87C22×#168—21no—
88C22×#168Q812yes—
89#3963—24no—
90C2×#389—51no—
91C2×#384—51no—
92C2×#340—51no—
93C2×#340—51no—
94C2×#340—51no—
95C2×#340D511yescharacteristic
96C2×#336—51no—
97C24×C5C2×D411yescharacteristic
98C22×C4×C5—22no—
99C22×C4×C5—22no—
100C22×C4×C5—22no—
101C22×C4×C5—22no—
102C22×C4×C5—41no—
103C22×C4×C5—41no—
104C22×C4×C5—41no—
105C22×C4×C5—41no—
106C22×C4×C5—41no—
107C22×C4×C5—41no—
108C22×C4×C5—41no—
109C22×C4×C5—41no—
110C22×C4×C5—41no—
111C22×C4×C5—41no—
112C22×C4×C5C22×C411yescharacteristic
113C22×C4×C5C2×D411yescharacteristic
114C22×C4×C5C2×D411yescharacteristic
115C22×C4×C5C2×D411yescharacteristic
116C22×C4×C5C2×D411yescharacteristic
117C22×C4×C5C2×Q811yescharacteristic
118C22×C4×C5C2×Q811yescharacteristic
119C22×C4×C5C2×Q811yescharacteristic
120C22×C4×C5#4111yescharacteristic
121C22×C4×C5#4111yescharacteristic
122C22×C4×C5#4111yescharacteristic
123C22×C4×C5#4111yescharacteristic
124C22×C4×C5#4111yescharacteristic
125C22×C4×C5#4111yescharacteristic
126C22×Dic5—21no—
127C22×Dic5—21no—
128C22×Dic5—21no—
129C22×Dic5—21no—
130C22×Dic5—21no—
131C22×Dic5—21no—
132C22×Dic5—21no—
133C22×Dic5—21no—
134C22×Dic5—22no—
135C22×Dic5—22no—
136C22×Dic5—41no—
137C22×Dic5—41no—
138C22×Dic5—41no—
139C22×Dic5—41no—
140C22×Dic5—41no—
141C22×Dic5—41no—
142C22×Dic5—41no—
143C22×Dic5—41no—
144C22×Dic5—41no—
145C22×Dic5—41no—
146C22×Dic5—41no—
147C22×Dic5—41no—
148C22×Dic5C22⋊C412yes—
149C22×Dic5C22⋊C412yes—
150C22×Dic5D812yes—
151C22×Dic5SD1612yes—
152C22×Dic5SD1612yes—
153C22×Dic5Q1612yes—
154C2×C5×C8—22no—
155C2×C5×C8—22no—
156C2×C5×C8—22no—
157C2×C5×C8—41no—
158C2×C5×C8—41no—
159C2×C5×C8—41no—
160C2×C5×C8—41no—
161C5×C4⋊C4—22no—
162C5×C4⋊C4—22no—
163C5×C4⋊C4—22no—
164C5×C4⋊C4—22no—
165C5×C4⋊C4—22no—
166C5×C4⋊C4—41no—
167C5×C4⋊C4—41no—
168C5×C4⋊C4C4⋊C414yescomplemented
169C4⋊Dic5—22no—
170C4⋊Dic5—22no—
171C4⋊Dic5—22no—
172C4⋊Dic5—22no—
173C4⋊Dic5—41no—
174C4⋊Dic5—41no—
175C4⋊Dic5—41no—
176C4⋊Dic5—41no—
177C4⋊Dic5—48no—
178#683—48no—
179#683—48no—
180C4×Dic5—22no—
181C4×Dic5—22no—
182C4×Dic5—22no—
183C4×Dic5—22no—
184C2×#168—22no—
185C2×#168—22no—
186C2×#168—22no—
187C2×#168—41no—
188C2×#168—41no—
189C2×#168—41no—
190C2×#168—41no—
191C23×C8—51no—
192C23×C8C2×D511yescharacteristic
193C22×C4⋊C4—51no—
194C22×C4⋊C4—51no—
195C22×C4⋊C4—101no—
196C22×C4⋊C4—101no—
197C22×C4⋊C4—101no—
198C22×C4⋊C4C2×D511yescharacteristic
199C22×C4⋊C4C2×D511yescharacteristic
200C22×C42—51no—
201#389—54no—
202#389—102no—
203#384—102no—
204#384—102no—
205C2×#95—101no—
206#340—22no—
207#340—102no—
208#340—102no—
209#340—102no—
210#336—102no—
211C23×C5C2×C22⋊C411yescharacteristic
212C23×C5#12011yescharacteristic
213C23×C5#12111yescharacteristic
214C23×C5C22⋊Q811yescharacteristic
215C23×C5#12311yescharacteristic
216C23×C5#12411yescharacteristic
217C23×C5C4⋊Q811yescharacteristic
218C23×C5C2×D811yescharacteristic
219C23×C5C2×SD1611yescharacteristic
220C23×C5C2×SD1611yescharacteristic
221C23×C5C2×Q1611yescharacteristic
222C23×C5AGL(1,ℤ/8)11yescharacteristic
223C23×C5AGL(1,ℤ/8)11yescharacteristic
224C23×C5#13711yescharacteristic
225C23×C5#13711yescharacteristic
226C2×C4×C5—24no—
227C2×C4×C5—42no—
228C2×C4×C5—42no—
229C2×C4×C5—42no—
230C2×C4×C5—42no—
231C2×C4×C5—42no—
232C2×C4×C5—42no—
233C2×C4×C5—42no—
234C2×C4×C5—42no—
235C2×C4×C5—42no—
236C2×C4×C5—81no—
237C2×C4×C5—81no—
238C2×C4×C5—81no—
239C2×C4×C5—81no—
240C2×C4×C5C2×C4⋊C411yescharacteristic
241C2×C4×C5#11711yescharacteristic
242C2×C4×C5C4×D411yescharacteristic
243C2×C4×C5C4×D411yescharacteristic
244C2×C4×C5C4×Q811yescharacteristic
245C2×C4×C5C4×Q811yescharacteristic
246C2×C4×C5#12111yescharacteristic
247C2×C4×C5#12111yescharacteristic
248C2×C4×C5#12111yescharacteristic
249C2×C4×C5#12111yescharacteristic
250C2×C4×C5#12111yescharacteristic
251C2×C4×C5C22⋊Q811yescharacteristic
252C2×C4×C5C22⋊Q811yescharacteristic
253C2×C4×C5C22⋊Q811yescharacteristic
254C2×C4×C5C22⋊Q811yescharacteristic
255C2×C4×C5C22⋊Q811yescharacteristic
256C2×C4×C5C22⋊Q811yescharacteristic
257C2×C4×C5C22⋊Q811yescharacteristic
258C2×C4×C5#12311yescharacteristic
259C2×C4×C5#12311yescharacteristic
260C2×C4×C5#12511yescharacteristic
261C2×C4×C5#12511yescharacteristic
262C2×C4×C5#12511yescharacteristic
263C2×C4×C5#12511yescharacteristic
264C2×C4×C5#12611yescharacteristic
265C2×C4×C5#12611yescharacteristic
266C2×C4×C5C4⋊Q811yescharacteristic
267C2×C4×C5C4⋊Q811yescharacteristic
268C2×Dic5—22no—
269C2×Dic5—22no—
270C2×Dic5—22no—
271C2×Dic5—22no—
272C2×Dic5—22no—
273C2×Dic5—22no—
274C2×Dic5—22no—
275C2×Dic5—22no—
276C2×Dic5—22no—
277C2×Dic5—22no—
278C2×Dic5—22no—
279C2×Dic5—22no—
280C2×Dic5—42no—
281C2×Dic5—42no—
282C2×Dic5—42no—
283C2×Dic5—42no—
284C2×Dic5—42no—
285C2×Dic5—42no—
286C2×Dic5—81no—
287C2×Dic5—81no—
288C2×Dic5—81no—
289C2×Dic5—81no—
290C2×Dic5—81no—
291C2×Dic5—81no—
292C2×Dic5—81no—
293C2×Dic5—81no—
294C2×Dic5#10214yes—
295C2×Dic5#10314yes—
296C5×C8—42no—
297#168—42no—
298C23×C4—21no—
299C23×C4—21no—
300C23×C4—51no—
301C23×C4—51no—
302C23×C4—101no—
303C23×C4—101no—
304C23×C4C22×D511yescharacteristic
305C22×C8—21no—
306C22×C8—21no—
307C22×C8—21no—
308C22×C8—21no—
309C22×C8—21no—
310C22×C8—21no—
311C22×C8—52no—
312C22×C8—101no—
313C22×C8—101no—
314C22×C8—101no—
315C22×C8—101no—
316C22×C8—101no—
317C22×C8—101no—
318C22×C8Dic1012yes—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—52no—
328C2×C4⋊C4—52no—
329C2×C4⋊C4—101no—
330C2×C4⋊C4—101no—
331C2×C4⋊C4—101no—
332C2×C4⋊C4—101no—
333C2×C4⋊C4—101no—
334C2×C4⋊C4—101no—
335C2×C4⋊C4—101no—
336C2×C4⋊C4—101no—
337C2×C4⋊C4—104no—
338C2×C4⋊C4—104no—
339C2×C4⋊C4—104no—
340C2×C4⋊C4—101no—
341C2×C4⋊C4—101no—
342C2×C4⋊C4—202no—
343C2×C4⋊C4—202no—
344C2×C4⋊C4—202no—
345C2×C4⋊C4—202no—
346C2×C4⋊C4—202no—
347C2×C4⋊C4—202no—
348C2×C4⋊C4Dic1012yes—
349C2×C4⋊C4C4×D512yes—
350C2×C4⋊C4D2012yes—
351C2×C4⋊C4C22⋊D512yes—
352C2×C42—52no—
353C2×C42—52no—
354C2×C42—101no—
355C2×C42—101no—
356C2×C42—101no—
357C2×C42—101no—
358#95—104no—
359C22×C5#38011yescharacteristic
360C22×C5#38611yescharacteristic
361C22×C5#39111yescharacteristic
362C22×C5#39411yescharacteristic
363C22×C5#39511yescharacteristic
364C22×C5#39811yescharacteristic
365C22×C5#40011yescharacteristic
366C22×C5C2×#10211yescharacteristic
367C22×C5C2×#10311yescharacteristic
368C22×C5#41711yescharacteristic
369C22×C5#41711yescharacteristic
370C22×C5#44711yescharacteristic
371C22×C5#44811yescharacteristic
372C22×C5#45011yescharacteristic
373C22×C5#45111yescharacteristic
374C22×C5#45911yescharacteristic
375C22×C5#46011yescharacteristic
376C22×C5#46111yescharacteristic
377C22×C5#46211yescharacteristic
378C22×C5#47411yescharacteristic
379C22×C5#47511yescharacteristic
380C22×C5#47611yescharacteristic
381C22×C5#47711yescharacteristic
382C22×C5#48011yescharacteristic
383C22×C5#48111yescharacteristic
384C22×C5#48311yescharacteristic
385C22×C5#48411yescharacteristic
386C22×C5#48611yescharacteristic
387C22×C5#48711yescharacteristic
388C22×C5#49011yescharacteristic
389C22×C5#49111yescharacteristic
390C22×C5#49811yescharacteristic
391C22×C5#50011yescharacteristic
392C22×C5#50111yescharacteristic
393C22×C5#50111yescharacteristic
394C4×C5—44no—
395C4×C5—82no—
396C4×C5#38711yescharacteristic
397C4×C5#38711yescharacteristic
398C4×C5#38911yescharacteristic
399C4×C5#38911yescharacteristic
400C4×C5#39611yescharacteristic
401C4×C5#39611yescharacteristic
402C4×C5#39811yescharacteristic
403C4×C5#39811yescharacteristic
404Dic5—24no—
405Dic5—24no—
406Dic5—82no—
407Dic5—82no—
408C24D4×D511yescharacteristic
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—41no—
414C22×C4—41no—
415C22×C4—41no—
416C22×C4—41no—
417C22×C4—41no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—41no—
421C22×C4—41no—
422C22×C4—41no—
423C22×C4—52no—
424C22×C4—52no—
425C22×C4—52no—
426C22×C4—52no—
427C22×C4—52no—
428C22×C4—52no—
429C22×C4—101no—
430C22×C4—101no—
431C22×C4—101no—
432C22×C4—101no—
433C22×C4—101no—
434C22×C4—101no—
435C22×C4—101no—
436C22×C4—101no—
437C22×C4—102no—
438C22×C4—102no—
439C22×C4—201no—
440C22×C4—201no—
441C22×C4—201no—
442C22×C4—201no—
443C22×C4—201no—
444C22×C4—201no—
445C22×C4—201no—
446C22×C4—201no—
447C22×C4—201no—
448C22×C4—201no—
449C22×C4—201no—
450C22×C4—201no—
451C22×C4C2×Dic1011yescharacteristic
452C22×C4C2×Dic1011yescharacteristic
453C22×C4C2×C4×D511yescharacteristic
454C22×C4C2×D2011yescharacteristic
455C22×C4#70911yescharacteristic
456C22×C4#70911yescharacteristic
457C22×C4D4×D511yescharacteristic
458C22×C4D4×D511yescharacteristic
459C22×C4#71111yescharacteristic
460C22×C4#71111yescharacteristic
461C22×C4#71111yescharacteristic
462C22×C4Q8×D511yescharacteristic
463C22×C4#71311yescharacteristic
464C22×C4C2×C22⋊D511yescharacteristic
465C2×C8—22no—
466C2×C8—22no—
467C2×C8—22no—
468C2×C8—41no—
469C2×C8—41no—
470C2×C8—41no—
471C2×C8—41no—
472C2×C8—102no—
473C2×C8—102no—
474C2×C8—102no—
475C2×C8—201no—
476C2×C8—201no—
477C2×C8—201no—
478C2×C8—201no—
479C4⋊C4—22no—
480C4⋊C4—22no—
481C4⋊C4—22no—
482C4⋊C4—22no—
483C4⋊C4—22no—
484C4⋊C4—41no—
485C4⋊C4—41no—
486C4⋊C4—102no—
487C4⋊C4—102no—
488C4⋊C4—102no—
489C4⋊C4—102no—
490C4⋊C4—208no—
491C4⋊C4—208no—
492C4⋊C4—208no—
493C4⋊C4—201no—
494C4⋊C4—201no—
495C4⋊C4—201no—
496C4⋊C4—201no—
497C4⋊C4#68314yescomplemented
498C42—102no—
499C42—102no—
500C42—102no—
501C42—102no—
502C2×C5#144111yescharacteristic
503C2×C5#180211yescharacteristic
504C2×C5#180311yescharacteristic
505C2×C5#187211yescharacteristic
506C2×C5#187411yescharacteristic
507C2×C5#199011yescharacteristic
508C2×C5#199211yescharacteristic
509C2×C5#204111yescharacteristic
510C2×C5#204311yescharacteristic
511C2×C5#205711yescharacteristic
512C2×C5#205811yescharacteristic
513C2×C5#208311yescharacteristic
514C2×C5#208411yescharacteristic
515C2×C5#209911yescharacteristic
516C2×C5#210011yescharacteristic
517C23#402411yescharacteristic
518C23D5×C22⋊C411yescharacteristic
519C23#402811yescharacteristic
520C23#403111yescharacteristic
521C23#403411yescharacteristic
522C23#404011yescharacteristic
523C23D5×D811yescharacteristic
524C23#405711yescharacteristic
525C23D5×SD1611yescharacteristic
526C23D5×SD1611yescharacteristic
527C23#406011yescharacteristic
528C23#406111yescharacteristic
529C23D5×Q1611yescharacteristic
530C23#406411yescharacteristic
531C23#408511yescharacteristic
532C2×C4—24no—
533C2×C4—42no—
534C2×C4—42no—
535C2×C4—42no—
536C2×C4—42no—
537C2×C4—42no—
538C2×C4—42no—
539C2×C4—42no—
540C2×C4—42no—
541C2×C4—42no—
542C2×C4—54no—
543C2×C4—54no—
544C2×C4—81no—
545C2×C4—81no—
546C2×C4—81no—
547C2×C4—81no—
548C2×C4—102no—
549C2×C4—102no—
550C2×C4—102no—
551C2×C4—102no—
552C2×C4—102no—
553C2×C4—102no—
554C2×C4—102no—
555C2×C4—102no—
556C2×C4—102no—
557C2×C4—102no—
558C2×C4—102no—
559C2×C4—102no—
560C2×C4—202no—
561C2×C4—202no—
562C2×C4—202no—
563C2×C4—202no—
564C2×C4—202no—
565C2×C4—202no—
566C2×C4—401no—
567C2×C4—401no—
568C2×C4—401no—
569C2×C4—401no—
570C2×C4—401no—
571C2×C4—401no—
572C2×C4—401no—
573C2×C4—401no—
574C2×C4C4×Dic1011yescharacteristic
575C2×C4#401511yescharacteristic
576C2×C4#401611yescharacteristic
577C2×C4C4×D2011yescharacteristic
578C2×C4#402311yescharacteristic
579C2×C4#402411yescharacteristic
580C2×C4#402411yescharacteristic
581C2×C4#402411yescharacteristic
582C2×C4#402511yescharacteristic
583C2×C4#402911yescharacteristic
584C2×C4#403011yescharacteristic
585C2×C4#403211yescharacteristic
586C2×C4#403311yescharacteristic
587C2×C4#403411yescharacteristic
588C2×C4#403511yescharacteristic
589C2×C4#403611yescharacteristic
590C2×C4#403611yescharacteristic
591C2×C4#403911yescharacteristic
592C2×C4#404111yescharacteristic
593C2×C4#404211yescharacteristic
594C2×C4#404311yescharacteristic
595C2×C4#404411yescharacteristic
596C2×C4C2×#68311yescharacteristic
597C2×C4#407011yescharacteristic
598C2×C4#407611yescharacteristic
599C2×C4#408411yescharacteristic
600C2×C4#408511yescharacteristic
601C2×C4#409211yescharacteristic
602C8—42no—
603C8—202no—
604C5#1120711yescharacteristic, complemented, Sylow
605C22#6493511yescharacteristic
606C22#6494511yescharacteristic
607C22#6494911yescharacteristic
608C22#6495411yescharacteristic
609C22#6504811yescharacteristic
610C22#6504911yescharacteristic
611C22#6505011yescharacteristic
612C22#6505311yescharacteristic
613C22D5×#10211yescharacteristic
614C22#6506011yescharacteristic
615C22#6506211yescharacteristic
616C22#6506511yescharacteristic
617C22#6508011yescharacteristic
618C22#6508111yescharacteristic
619C22#6508311yescharacteristic
620C22#6508611yescharacteristic
621C22D5×#10311yescharacteristic
622C22#6509211yescharacteristic
623C22#6509511yescharacteristic
624C22#6509711yescharacteristic
625C22#6514411yescharacteristic
626C22#6514511yescharacteristic
627C22#6515111yescharacteristic
628C22#6515211yescharacteristic
629C22#6516311yescharacteristic
630C22#6516511yescharacteristic
631C22#6517111yescharacteristic
632C22#6517311yescharacteristic
633C22#6523111yescharacteristic
634C22#6525011yescharacteristic
635C22#6527311yescharacteristic
636C22#6543911yescharacteristic
637C22#6545111yescharacteristic
638C22#6545211yescharacteristic
639C22#6547111yescharacteristic
640C4—44no—
641C4—82no—
642C4—104no—
643C4—104no—
644C4—402no—
645C4—402no—
646C4#6494211yescharacteristic
647C4#6494311yescharacteristic
648C4#6494611yescharacteristic
649C4#6495011yescharacteristic
650C4#6521711yescharacteristic
651C4#6523711yescharacteristic
652C4#6526211yescharacteristic
653C4#6528311yescharacteristic
654C2#1059959611yescharacteristic
655C2#1059959811yescharacteristic
656C2#1059961911yescharacteristic
657C2#1059962011yescharacteristic
658C2#1059963511yescharacteristic
659C2#1059963611yescharacteristic
660C2#1059967111yescharacteristic
661C2#1059967311yescharacteristic
662C2#1060020411yescharacteristic
663C2#1060094611yescharacteristic
664C2#1060097011yescharacteristic
665C2#1060101411yescharacteristic
666C2#1060103911yescharacteristic
667C2#1060136011yescharacteristic
668C2#1060141211yescharacteristic
subgroupG/H
centerC24D4×D5
commutatorC22×C4×C5C22×C4
FrattiniC23×C4C22×D5
FittingC2×C5×#340C2
socle, prime radicalC24×C5C2×D4
cosocleC23×C4×C5C23
hypercenterC2×#340D5
hypocenterC5#11207
LCSG ▷ C22×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C24 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
20. #65274C4semidirect
168. C5×C4⋊C4C4⋊C4semidirect
497. C4⋊C4#683semidirect
604. C5#11207semidirect

Maximal subgroups

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

subgroupindex
C2×#652742
C2×#652652
C2×C5×#3402
C2×#647712
C2×#647702
C2×#647492
#112075