Finite Group Databasebeta

← #12005465

Subgroups — #12005465

Order 1280.

958 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C5×C4⋊C4C211yesmaximal, characteristic
2C22×#3940C211yesmaximal, characteristic
3C2×#64749C211yesmaximal, characteristic
4C2×#64749C211yesmaximal, characteristic
5C2×#64749C211yesmaximal, characteristic
6#10602328C211yesmaximal, characteristic
7C2×#64744C211yesmaximal, characteristic
8C22×C5×C4⋊C4C2211yescharacteristic
9C22×C5×C4⋊C4C2211yescharacteristic
10C22×C42×C5—21no—
11C22×C42×C5C2211yescharacteristic
12C22×C4⋊Dic5C2211yescharacteristic
13C22×C4⋊Dic5C2211yescharacteristic
14C23×#168C2211yescharacteristic
15C23×#168C2211yescharacteristic
16C4×C5×C4⋊C4—22no—
17C4×C5×C4⋊C4—22no—
18C2×C5×#95—21no—
19C2×#3963—21no—
20C2×#3963—21no—
21C2×#3940—22no—
22C2×#3940—22no—
23C2×#3940C414yescomplemented
24#64749—22no—
25#64749—22no—
26#64749C414yescomplemented
27#64744C414yescomplemented
28#10908—51nomaximal, Sylow
29C23×C4×C5—21no—
30C23×C4×C5—21no—
31C23×C4×C5D411yescharacteristic
32C23×C4×C5D411yescharacteristic
33C23×C4×C5C2311yescharacteristic
34C23×Dic5—21no—
35C23×Dic5—21no—
36C2×C5×C4⋊C4—21no—
37C2×C5×C4⋊C4—21no—
38C2×C5×C4⋊C4—21no—
39C2×C5×C4⋊C4—21no—
40C2×C5×C4⋊C4—21no—
41C2×C5×C4⋊C4—21no—
42C2×C5×C4⋊C4C2×C412yes—
43C2×C5×C4⋊C4C2×C412yes—
44C2×C5×C4⋊C4D412yes—
45C2×C5×C4⋊C4D412yes—
46C2×C5×C4⋊C4D412yes—
47C2×C5×C4⋊C4Q812yes—
48C2×C42×C5—21no—
49C2×C42×C5—21no—
50C2×C42×C5—21no—
51C2×C42×C5—21no—
52C2×C42×C5—24no—
53C2×C42×C5—42no—
54C2×C42×C5—42no—
55C2×C42×C5C2×C412yes—
56C2×C42×C5Q812yes—
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—21no—
66C2×C4⋊Dic5—21no—
67C2×C4⋊Dic5C2×C412yes—
68C2×C4⋊Dic5C2×C412yes—
69C22×#168—21no—
70C22×#168—21no—
71C22×#168—21no—
72C22×#168—21no—
73C22×#168—21no—
74C22×#168—21no—
75C22×#168—21no—
76C22×#168—21no—
77C22×#168—21no—
78C22×#168—21no—
79C22×#168C2×C412yes—
80C22×#168C2×C412yes—
81C22×#168C2×C412yes—
82C22×#168C2×C412yes—
83C5×#95—24no—
84#3963—42no—
85#3963—42no—
86#3940—28no—
87C22×#106—51no—
88C2×C4×C4⋊C4D511yescharacteristic
89C2×#340—51no—
90C2×#340—51no—
91C2×#340—51no—
92C2×#336—51no—
93C4⋊#95—51no—
94C24×C5C2×D411yescharacteristic
95C22×C4×C5—21no—
96C22×C4×C5—21no—
97C22×C4×C5—21no—
98C22×C4×C5—21no—
99C22×C4×C5—22no—
100C22×C4×C5—22no—
101C22×C4×C5—22no—
102C22×C4×C5—22no—
103C22×C4×C5—21no—
104C22×C4×C5—22no—
105C22×C4×C5—22no—
106C22×C4×C5—21no—
107C22×C4×C5—21no—
108C22×C4×C5—21no—
109C22×C4×C5—21no—
110C22×C4×C5—21no—
111C22×C4×C5—41no—
112C22×C4×C5—41no—
113C22×C4×C5—41no—
114C22×C4×C5—41no—
115C22×C4×C5—41no—
116C22×C4×C5—41no—
117C22×C4×C5—41no—
118C22×C4×C5—41no—
119C22×C4×C5C4⋊C412yes—
120C22×C4×C5C4⋊C412yes—
121C22×C4×C5SD1612yes—
122C22×C4×C5SD1612yes—
123C22×C4×C5C22×C411yescharacteristic
124C22×C4×C5C22×C411yescharacteristic
125C22×C4×C5C22×C411yescharacteristic
126C22×C4×C5C2×D411yescharacteristic
127C22×C4×C5C2×D411yescharacteristic
128C22×C4×C5C2×D411yescharacteristic
129C22×C4×C5C2×Q811yescharacteristic
130C22×C4×C5C2×Q811yescharacteristic
131C22×C4×C5#4111yescharacteristic
132C22×C4×C5#4111yescharacteristic
133C22×C4×C5#4111yescharacteristic
134C22×C4×C5#4111yescharacteristic
135C22×C4×C5#4111yescharacteristic
136C22×C4×C5#4111yescharacteristic
137C22×Dic5—22no—
138C22×Dic5—22no—
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×Dic5—41no—
149C22×Dic5—41no—
150C22×Dic5—41no—
151C5×C4⋊C4—22no—
152C5×C4⋊C4—22no—
153C5×C4⋊C4—22no—
154C5×C4⋊C4—22no—
155C5×C4⋊C4—22no—
156C5×C4⋊C4—22no—
157C5×C4⋊C4C22⋊C414yes—
158C5×C4⋊C4C4⋊C414yes—
159C42×C5—22no—
160C42×C5—22no—
161C42×C5—22no—
162C42×C5—22no—
163C42×C5—48no—
164C4⋊Dic5—22no—
165C4⋊Dic5—22no—
166C4⋊Dic5—22no—
167C4⋊Dic5—22no—
168C4⋊Dic5—41no—
169C4⋊Dic5—41no—
170C4⋊Dic5—41no—
171C4⋊Dic5—41no—
172C2×#168—22no—
173C2×#168—22no—
174C2×#168—22no—
175C2×#168—22no—
176C2×#168—22no—
177C2×#168—22no—
178C2×#168—22no—
179C2×#168—22no—
180C2×#168—22no—
181C2×#168—41no—
182C2×#168—41no—
183C2×#168—41no—
184C2×#168—41no—
185C2×#168C4214yescomplemented
186C23×C8—51no—
187C23×C8—51no—
188C22×C4⋊C4—51no—
189C22×C4⋊C4—51no—
190C22×C4⋊C4C2×D511yescharacteristic
191C22×C4⋊C4C2×D511yescharacteristic
192C22×C42—21no—
193C22×C42C2×D511yescharacteristic
194C2×#106—54no—
195C2×#106—102no—
196C2×#106—102no—
197C4×C4⋊C4—22no—
198C4×C4⋊C4—22no—
199C2×#95—21no—
200C2×#95—101no—
201C2×#95—101no—
202#340—54no—
203#340—102no—
204#340—102no—
205#336—54no—
206C23×C5C2×C4⋊C411yescharacteristic
207C23×C5C4×D411yescharacteristic
208C23×C5C4×D411yescharacteristic
209C23×C5#12011yescharacteristic
210C23×C5#12111yescharacteristic
211C23×C5C22⋊Q811yescharacteristic
212C23×C5#12311yescharacteristic
213C23×C5C2×SD1611yescharacteristic
214C23×C5C2×SD1611yescharacteristic
215C23×C5#13511yescharacteristic
216C23×C5#13511yescharacteristic
217C23×C5AGL(1,ℤ/8)11yescharacteristic
218C23×C5AGL(1,ℤ/8)11yescharacteristic
219C23×C5#13711yescharacteristic
220C23×C5#13711yescharacteristic
221C2×C4×C5—22no—
222C2×C4×C5—22no—
223C2×C4×C5—22no—
224C2×C4×C5—22no—
225C2×C4×C5—22no—
226C2×C4×C5—22no—
227C2×C4×C5—22no—
228C2×C4×C5—24no—
229C2×C4×C5—24no—
230C2×C4×C5—22no—
231C2×C4×C5—22no—
232C2×C4×C5—42no—
233C2×C4×C5—42no—
234C2×C4×C5—42no—
235C2×C4×C5—42no—
236C2×C4×C5—41no—
237C2×C4×C5—42no—
238C2×C4×C5—42no—
239C2×C4×C5—42no—
240C2×C4×C5—41no—
241C2×C4×C5—42no—
242C2×C4×C5—42no—
243C2×C4×C5—42no—
244C2×C4×C5—42no—
245C2×C4×C5—42no—
246C2×C4×C5—41no—
247C2×C4×C5—41no—
248C2×C4×C5#10614yescomplemented
249C2×C4×C5C2×C4211yescharacteristic
250C2×C4×C5C2×C22⋊C411yescharacteristic
251C2×C4×C5C2×C4⋊C411yescharacteristic
252C2×C4×C5#11711yescharacteristic
253C2×C4×C5#11711yescharacteristic
254C2×C4×C5#11711yescharacteristic
255C2×C4×C5C4×D411yescharacteristic
256C2×C4×C5C4×D411yescharacteristic
257C2×C4×C5C4×D411yescharacteristic
258C2×C4×C5C4×D411yescharacteristic
259C2×C4×C5C4×D411yescharacteristic
260C2×C4×C5C4×D411yescharacteristic
261C2×C4×C5C4×Q811yescharacteristic
262C2×C4×C5C4×Q811yescharacteristic
263C2×C4×C5C4×Q811yescharacteristic
264C2×C4×C5C4×Q811yescharacteristic
265C2×C4×C5#12111yescharacteristic
266C2×C4×C5C22⋊Q811yescharacteristic
267C2×C4×C5C22⋊Q811yescharacteristic
268C2×C4×C5C22⋊Q811yescharacteristic
269C2×C4×C5#12311yescharacteristic
270C2×C4×C5#12311yescharacteristic
271C2×C4×C5#12411yescharacteristic
272C2×C4×C5#12511yescharacteristic
273C2×C4×C5#12511yescharacteristic
274C2×C4×C5#12611yescharacteristic
275C2×C4×C5#12611yescharacteristic
276C2×C4×C5C4⋊Q811yescharacteristic
277C2×Dic5—42no—
278C2×Dic5—42no—
279C2×Dic5—42no—
280C2×Dic5—42no—
281C2×Dic5—42no—
282C2×Dic5—42no—
283C2×Dic5—81no—
284C2×Dic5—81no—
285C2×Dic5—81no—
286C2×Dic5—81no—
287C2×Dic5—81no—
288C2×Dic5—81no—
289C2×Dic5—81no—
290C2×Dic5—81no—
291#168—24no—
292#168—42no—
293C23×C4—21no—
294C23×C4—21no—
295C23×C4—101no—
296C23×C4—101no—
297C23×C4C22⋊D511yescharacteristic
298C23×C4C22⋊D511yescharacteristic
299C23×C4C22×D511yescharacteristic
300C22×C8—52no—
301C22×C8—52no—
302C22×C8—52no—
303C22×C8—52no—
304C22×C8—101no—
305C22×C8—101no—
306C22×C8—101no—
307C22×C8—101no—
308C22×C8—101no—
309C22×C8—101no—
310C22×C8—101no—
311C22×C8—101no—
312C22×C8—101no—
313C22×C8—101no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—52no—
321C2×C4⋊C4—52no—
322C2×C4⋊C4—101no—
323C2×C4⋊C4—101no—
324C2×C4⋊C4—101no—
325C2×C4⋊C4—101no—
326C2×C4⋊C4—101no—
327C2×C4⋊C4—101no—
328C2×C4⋊C4—101no—
329C2×C4⋊C4—101no—
330C2×C4⋊C4—101no—
331C2×C4⋊C4—101no—
332C2×C4⋊C4Dic1012yes—
333C2×C4⋊C4C4×D512yes—
334C2×C4⋊C4C4×D512yes—
335C2×C4⋊C4D2012yes—
336C2×C4⋊C4C22⋊D512yes—
337C2×C4⋊C4C22⋊D512yes—
338C2×C42—21no—
339C2×C42—21no—
340C2×C42—21no—
341C2×C42—21no—
342C2×C42—24no—
343C2×C42—42no—
344C2×C42—42no—
345C2×C42Dic1012yes—
346C2×C42C4×D512yes—
347#106—108no—
348#95—24no—
349#95—202no—
350#95—202no—
351C22×C5C4×C4⋊C411yescharacteristic
352C22×C5#38511yescharacteristic
353C22×C5#38511yescharacteristic
354C22×C5#38611yescharacteristic
355C22×C5#38711yescharacteristic
356C22×C5#38811yescharacteristic
357C22×C5#38911yescharacteristic
358C22×C5C2×#10611yescharacteristic
359C22×C5#42711yescharacteristic
360C22×C5#42811yescharacteristic
361C22×C5#42811yescharacteristic
362C22×C5C4×SD1611yescharacteristic
363C22×C5C4×SD1611yescharacteristic
364C22×C5C4×SD1611yescharacteristic
365C22×C5C4×SD1611yescharacteristic
366C22×C5#44011yescharacteristic
367C22×C5#44011yescharacteristic
368C22×C5#44111yescharacteristic
369C22×C5#44211yescharacteristic
370C22×C5#44811yescharacteristic
371C22×C5#44911yescharacteristic
372C22×C5#45011yescharacteristic
373C22×C5#45211yescharacteristic
374C22×C5#46011yescharacteristic
375C22×C5#46111yescharacteristic
376C22×C5#46311yescharacteristic
377C22×C5#46411yescharacteristic
378C22×C5#47511yescharacteristic
379C22×C5#47611yescharacteristic
380C22×C5#47811yescharacteristic
381C22×C5#47911yescharacteristic
382C22×C5#48111yescharacteristic
383C22×C5#48211yescharacteristic
384C22×C5#48311yescharacteristic
385C22×C5#48511yescharacteristic
386C4×C5—24no—
387C4×C5—42no—
388C4×C5—44no—
389C4×C5—44no—
390C4×C5C4×C22⋊C411yescharacteristic
391C4×C5C4×C4⋊C411yescharacteristic
392C4×C5#38711yescharacteristic
393C4×C5#38711yescharacteristic
394C4×C5#38711yescharacteristic
395C4×C5#38811yescharacteristic
396C4×C5#38911yescharacteristic
397C4×C5#39111yescharacteristic
398Dic5—82no—
399Dic5—82no—
400C24C2×C22⋊D511yescharacteristic
401C22×C4—21no—
402C22×C4—21no—
403C22×C4—21no—
404C22×C4—21no—
405C22×C4—21no—
406C22×C4—21no—
407C22×C4—21no—
408C22×C4—21no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—21no—
415C22×C4—22no—
416C22×C4—21no—
417C22×C4—41no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—41no—
421C22×C4—41no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—102no—
426C22×C4—102no—
427C22×C4—201no—
428C22×C4—201no—
429C22×C4—201no—
430C22×C4—201no—
431C22×C4—201no—
432C22×C4—201no—
433C22×C4—201no—
434C22×C4—201no—
435C22×C4—201no—
436C22×C4—201no—
437C22×C4—201no—
438C22×C4—201no—
439C22×C4#68312yes—
440C22×C4#68312yes—
441C22×C4#68712yes—
442C22×C4#68812yes—
443C22×C4C2×Dic1011yescharacteristic
444C22×C4C2×Dic1011yescharacteristic
445C22×C4C2×C4×D511yescharacteristic
446C22×C4C2×C4×D511yescharacteristic
447C22×C4C2×C4×D511yescharacteristic
448C22×C4C2×D2011yescharacteristic
449C22×C4#70911yescharacteristic
450C22×C4#70911yescharacteristic
451C22×C4#70911yescharacteristic
452C22×C4#70911yescharacteristic
453C22×C4#70911yescharacteristic
454C22×C4#70911yescharacteristic
455C22×C4C2×C22⋊D511yescharacteristic
456C22×C4C2×C22⋊D511yescharacteristic
457C2×C8—54no—
458C2×C8—102no—
459C2×C8—102no—
460C2×C8—102no—
461C2×C8—102no—
462C2×C8—102no—
463C2×C8—102no—
464C2×C8—102no—
465C2×C8—102no—
466C2×C8—102no—
467C2×C8—201no—
468C2×C8—201no—
469C2×C8—201no—
470C2×C8—201no—
471C4⋊C4—22no—
472C4⋊C4—22no—
473C4⋊C4—22no—
474C4⋊C4—22no—
475C4⋊C4—22no—
476C4⋊C4—22no—
477C4⋊C4—102no—
478C4⋊C4—102no—
479C4⋊C4—102no—
480C4⋊C4—102no—
481C4⋊C4—201no—
482C4⋊C4—201no—
483C4⋊C4—201no—
484C4⋊C4—201no—
485C4⋊C4#68314yes—
486C4⋊C4#68514yes—
487C42—22no—
488C42—22no—
489C42—22no—
490C42—22no—
491C42—48no—
492C2×C5#143611yescharacteristic
493C2×C5C4×#10611yescharacteristic
494C2×C5#177611yescharacteristic
495C2×C5#185311yescharacteristic
496C2×C5#185411yescharacteristic
497C2×C5#186411yescharacteristic
498C2×C5#186511yescharacteristic
499C2×C5#187711yescharacteristic
500C2×C5#188011yescharacteristic
501C2×C5#191911yescharacteristic
502C2×C5#192011yescharacteristic
503C2×C5#192611yescharacteristic
504C2×C5#192711yescharacteristic
505C2×C5#194811yescharacteristic
506C2×C5#194911yescharacteristic
507C23C2×#68311yescharacteristic
508C23#407011yescharacteristic
509C23C4×C22⋊D511yescharacteristic
510C23C4×C22⋊D511yescharacteristic
511C23#407511yescharacteristic
512C23#407611yescharacteristic
513C23#407811yescharacteristic
514C23C2×#68711yescharacteristic
515C23C2×#68811yescharacteristic
516C23#408811yescharacteristic
517C23#409511yescharacteristic
518C23#409611yescharacteristic
519C23#409611yescharacteristic
520C23#409711yescharacteristic
521C23#409911yescharacteristic
522C2×C4—22no—
523C2×C4—22no—
524C2×C4—22no—
525C2×C4—22no—
526C2×C4—22no—
527C2×C4—22no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—22no—
531C2×C4—24no—
532C2×C4—24no—
533C2×C4—41no—
534C2×C4—41no—
535C2×C4—42no—
536C2×C4—42no—
537C2×C4—42no—
538C2×C4—42no—
539C2×C4—42no—
540C2×C4—42no—
541C2×C4—42no—
542C2×C4—42no—
543C2×C4—42no—
544C2×C4—42no—
545C2×C4—41no—
546C2×C4—42no—
547C2×C4—41no—
548C2×C4—42no—
549C2×C4—202no—
550C2×C4—202no—
551C2×C4—202no—
552C2×C4—202no—
553C2×C4—202no—
554C2×C4—202no—
555C2×C4—401no—
556C2×C4—401no—
557C2×C4—401no—
558C2×C4—401no—
559C2×C4—401no—
560C2×C4—401no—
561C2×C4—401no—
562C2×C4—401no—
563C2×C4#394014yescomplemented
564C2×C4C4×Dic1011yescharacteristic
565C2×C4C4×Dic1011yescharacteristic
566C2×C4C4×Dic1011yescharacteristic
567C2×C4C4×Dic1011yescharacteristic
568C2×C4#401511yescharacteristic
569C2×C4#401611yescharacteristic
570C2×C4#401611yescharacteristic
571C2×C4C42×D511yescharacteristic
572C2×C4#401811yescharacteristic
573C2×C4#401811yescharacteristic
574C2×C4#401811yescharacteristic
575C2×C4C4×D2011yescharacteristic
576C2×C4C4×D2011yescharacteristic
577C2×C4#402111yescharacteristic
578C2×C4#402211yescharacteristic
579C2×C4#402211yescharacteristic
580C2×C4C2×#68311yescharacteristic
581C2×C4#407011yescharacteristic
582C2×C4#407011yescharacteristic
583C2×C4#407011yescharacteristic
584C2×C4C2×#68511yescharacteristic
585C2×C4C4×C22⋊D511yescharacteristic
586C2×C4C4×C22⋊D511yescharacteristic
587C2×C4C4×C22⋊D511yescharacteristic
588C2×C4C4×C22⋊D511yescharacteristic
589C2×C4#407511yescharacteristic
590C2×C4#407511yescharacteristic
591C2×C4#407611yescharacteristic
592C8—104no—
593C8—202no—
594C5#1090811yescharacteristic, complemented, Sylow
595C22#6521711yescharacteristic
596C22C4×#68311yescharacteristic
597C22#6522211yescharacteristic
598C22#6522911yescharacteristic
599C22C2×#394011yescharacteristic
600C22#6525311yescharacteristic
601C22#6525711yescharacteristic
602C22#6526011yescharacteristic
603C22#6528411yescharacteristic
604C22#6528511yescharacteristic
605C22#6528711yescharacteristic
606C22#6529211yescharacteristic
607C22#6529711yescharacteristic
608C22#6529811yescharacteristic
609C22#6530311yescharacteristic
610C22#6530511yescharacteristic
611C22C4×#68711yescharacteristic
612C22C4×#68711yescharacteristic
613C22#6530711yescharacteristic
614C22#6530811yescharacteristic
615C22#6530911yescharacteristic
616C22#6531111yescharacteristic
617C22C4×#68811yescharacteristic
618C22C4×#68811yescharacteristic
619C22#6531511yescharacteristic
620C22#6531611yescharacteristic
621C22#6531711yescharacteristic
622C22#6531911yescharacteristic
623C22#6549911yescharacteristic
624C22#6549911yescharacteristic
625C22#6550211yescharacteristic
626C22#6550711yescharacteristic
627C22#6551611yescharacteristic
628C22#6552711yescharacteristic
629C22#6552811yescharacteristic
630C4—24no—
631C4—42no—
632C4—44no—
633C4—44no—
634C4—402no—
635C4—402no—
636C4#6521711yescharacteristic
637C4#6521811yescharacteristic
638C4C4×#68311yescharacteristic
639C4#6522211yescharacteristic
640C4#6522211yescharacteristic
641C4#6522211yescharacteristic
642C4C4×#68511yescharacteristic
643C4#6522911yescharacteristic
644C2#1060025211yescharacteristic
645C2#1060025311yescharacteristic
646C2#1060025611yescharacteristic
647C2#1060025711yescharacteristic
648C2#1060026011yescharacteristic
649C2#1060026111yescharacteristic
650C2C4×#394011yescharacteristic
651C2#1060027411yescharacteristic
652C2#1060232911yescharacteristic
653C2#1060234911yescharacteristic
654C2#1060236911yescharacteristic
655C2#1060240011yescharacteristic
656C2#1060240511yescharacteristic
657C2#1060242211yescharacteristic
658C2#1060242611yescharacteristic
subgroupG/H
centerC24C2×C22⋊D5
commutatorC2×C4×C5C2×C42
FrattiniC23×C4C22×D5
FittingC2×C4×C5×C4⋊C4C2
socle, prime radicalC24×C5C2×D4
cosocleC23×C4×C5C23
hypercenterC2×C4×C4⋊C4D5
hypocenterC5#10908
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C24 ◁ C22×C42 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
23. C2×#3940C4semidirect
26. #64749C4semidirect
27. #64744C4semidirect
185. C2×#168C42semidirect
248. C2×C4×C5#106semidirect
563. C2×C4#3940semidirect
594. C5#10908semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C5×C4⋊C42
C22×#39402
C2×#647492
#106023282
C2×#647442
#109085