Finite Group Databasebeta

← C22⋊C4×#683 #12020718

Subgroups — C22⋊C4×#683 #12020718

Order 1280.

2574 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#683C211yesmaximal, characteristic
2C2×C4×C5×C22⋊C4C211yesmaximal, characteristic
3C2×#65231C211yesmaximal, characteristic
4C2×C22⋊C4×Dic5C211yesmaximal, characteristic
5C2×C22⋊C4×Dic5C211yesmaximal, characteristic
6C2×C4×#683C212yesmaximal, complemented
7#10602920C211yesmaximal, characteristic
8#10602337C211yesmaximal, characteristic
9#10602329C212yesmaximal, complemented
10#10600199C212yesmaximal, complemented
11#10600197C212yesmaximal, complemented
12C24×C4×C5C2211yescharacteristic
13C24×Dic5C2211yescharacteristic
14C24×Dic5C2211yescharacteristic
15C22×C5×C22⋊C4C2211yescharacteristic
16C22×C5×C22⋊C4C2211yescharacteristic
17C22×C42×C5C2212yes—
18C22×C22⋊Dic5C2211yescharacteristic
19C22×C22⋊Dic5C2211yescharacteristic
20C22×#683—28no—
21C22×#683C418yescomplemented
22C22×#683C2211yescharacteristic
23C22×#683C2211yescharacteristic
24C22×#683C2211yescharacteristic
25C22×#683C2212yes—
26C22×#683C2211yescharacteristic
27C22×C4×Dic5C2212yes—
28C22×C4×Dic5C2212yes—
29C4×C5×C22⋊C4—24no—
30C2×C5×#95C2212yes—
31C2×#3963C2212yes—
32C2×#3963C2212yes—
33C2×#3963C2212yes—
34C2×#3963C2212yes—
35C2×#3963C2212yes—
36C2×#3963C2212yes—
37C2×#3963C2212yes—
38#65231C418yescomplemented
39C22⋊C4×Dic5—24no—
40C22⋊C4×Dic5C418yescomplemented
41C4×#683—28no—
42C22⋊C4×C4⋊C4—51nomaximal, Sylow
43C25×C5C2311yescharacteristic
44C23×C4×C5—22no—
45C23×C4×C5—22no—
46C23×C4×C5—24no—
47C23×C4×C5—42no—
48C23×C4×C5C2×C414yes—
49C23×C4×C5C2311yescharacteristic
50C23×C4×C5C2312yes—
51C23×C4×C5C2311yescharacteristic
52C23×C4×C5C2312yes—
53C23×Dic5—24no—
54C23×Dic5—24no—
55C23×Dic5—22no—
56C23×Dic5—22no—
57C23×Dic5—24no—
58C23×Dic5—42no—
59C23×Dic5C2×C414yes—
60C23×Dic5C2×C414yes—
61C23×Dic5C2×C414yes—
62C23×Dic5C2×C414yes—
63C23×Dic5C2312yes—
64C23×Dic5C2312yes—
65C23×Dic5C2311yescharacteristic
66C23×Dic5C2311yescharacteristic
67C23×Dic5C2311yescharacteristic
68C23×Dic5C2311yescharacteristic
69C2×C5×C22⋊C4—22no—
70C2×C5×C22⋊C4—22no—
71C2×C5×C22⋊C4C2×C414yes—
72C2×C5×C22⋊C4C2×C414yes—
73C2×C5×C22⋊C4D414yes—
74C2×C5×C22⋊C4Q814yes—
75C2×C42×C5—24no—
76C2×C42×C5—24no—
77C2×C42×C5—42no—
78C2×C22⋊Dic5—22no—
79C2×C22⋊Dic5—22no—
80C2×C22⋊Dic5—22no—
81C2×C22⋊Dic5—22no—
82C2×C22⋊Dic5C2×C414yes—
83C2×C22⋊Dic5C2×C414yes—
84C2×#683—24no—
85C2×#683—24no—
86C2×#683—24no—
87C2×#683—24no—
88C2×#683—24no—
89C2×#683—232no—
90C2×#683C2×C414yes—
91C2×#683C2×C414yes—
92C2×#683C2×C414yes—
93C2×#683C2×C414yes—
94C2×#683C2×C418yescomplemented
95C2×#683D418yes—
96C2×C4×Dic5—24no—
97C2×C4×Dic5—24no—
98C2×C4×Dic5—24no—
99C2×C4×Dic5—24no—
100C2×C4×Dic5—42no—
101C2×C4×Dic5C2×C418yescomplemented
102C5×#95—24no—
103#3963—24no—
104#3963—24no—
105#3963—24no—
106#3963—42no—
107#3963—42no—
108#3963C2×C418yescomplemented
109#3963C2×C418yescomplemented
110C23×C4⋊C4—51no—
111C2×#380—51no—
112C2×C4×C4⋊C4—52no—
113C2×C4×C22⋊C4—51no—
114C2×C4×C22⋊C4—51no—
115C2×C4×C22⋊C4D511yescharacteristic
116#1436—52no—
117#1436—52no—
118C4⋊#95—52no—
119C22⋊#95—51no—
120C22⋊#95—51no—
121C24×C5—22no—
122C24×C5—22no—
123C24×C5—22no—
124C24×C5—22no—
125C24×C5C22×C412yes—
126C24×C5C22×C412yes—
127C24×C5C22×C412yes—
128C24×C5C2×D412yes—
129C24×C5C2×Q812yes—
130C24×C5#4112yes—
131C24×C5#4112yes—
132C24×C5C2411yescharacteristic
133C22×C4×C5—21no—
134C22×C4×C5—22no—
135C22×C4×C5—21no—
136C22×C4×C5—22no—
137C22×C4×C5—22no—
138C22×C4×C5—22no—
139C22×C4×C5—22no—
140C22×C4×C5—28no—
141C22×C4×C5—22no—
142C22×C4×C5—22no—
143C22×C4×C5—21no—
144C22×C4×C5—22no—
145C22×C4×C5—22no—
146C22×C4×C5—21no—
147C22×C4×C5—22no—
148C22×C4×C5—22no—
149C22×C4×C5—22no—
150C22×C4×C5—22no—
151C22×C4×C5—28no—
152C22×C4×C5—44no—
153C22×C4×C5—48no—
154C22×C4×C5—48no—
155C22×C4×C5C22×C414yes—
156C22×C4×C5C22×C412yes—
157C22×C4×C5C22×C412yes—
158C22×C4×C5C22×C414yes—
159C22×C4×C5C2×D414yes—
160C22×C4×C5C2×D414yes—
161C22×C4×C5C2×Q814yes—
162C22×Dic5—21no—
163C22×Dic5—22no—
164C22×Dic5—21no—
165C22×Dic5—22no—
166C22×Dic5—22no—
167C22×Dic5—28no—
168C22×Dic5—28no—
169C22×Dic5—216no—
170C22×Dic5—216no—
171C22×Dic5—28no—
172C22×Dic5—22no—
173C22×Dic5—21no—
174C22×Dic5—22no—
175C22×Dic5—22no—
176C22×Dic5—22no—
177C22×Dic5—22no—
178C22×Dic5—22no—
179C22×Dic5—22no—
180C22×Dic5—21no—
181C22×Dic5—22no—
182C22×Dic5—22no—
183C22×Dic5—22no—
184C22×Dic5—22no—
185C22×Dic5—22no—
186C22×Dic5—22no—
187C22×Dic5—22no—
188C22×Dic5—28no—
189C22×Dic5—44no—
190C22×Dic5—48no—
191C22×Dic5—48no—
192C22×Dic5C42116yescomplemented
193C22×Dic5C22×C414yes—
194C22×Dic5C22×C414yes—
195C22×Dic5C22×C412yes—
196C22×Dic5C22×C412yes—
197C22×Dic5C22×C412yes—
198C22×Dic5C22×C412yes—
199C22×Dic5C22×C412yes—
200C22×Dic5C22×C412yes—
201C22×Dic5C22×C412yes—
202C22×Dic5C22×C412yes—
203C22×Dic5C2×D414yes—
204C22×Dic5C2×D414yes—
205C22×Dic5#4114yes—
206C5×C22⋊C4—28no—
207C5×C22⋊C4C4⋊C4116yescomplemented
208C42×C5—48no—
209C22⋊Dic5—28no—
210C22⋊Dic5—28no—
211#683—28no—
212#683—28no—
213#683—28no—
214#683—216no—
215#683C22⋊C4116yesdirect product factor
216C4×Dic5—216no—
217C4×Dic5—48no—
218C24×C4—51no—
219C24×C4—51no—
220C24×C4C2×D511yescharacteristic
221C22×C4⋊C4—51no—
222C22×C4⋊C4—58no—
223C22×C4⋊C4—51no—
224C22×C4⋊C4—51no—
225C22×C4⋊C4—51no—
226C22×C4⋊C4—52no—
227C22×C4⋊C4—108no—
228C22×C22⋊C4—51no—
229C22×C22⋊C4—51no—
230C22×C22⋊C4C2×D511yescharacteristic
231C22×C22⋊C4C2×D511yescharacteristic
232C22×C42—52no—
233C22×C42—52no—
234C22×C42C2×D512yes—
235#380—58no—
236C4×C4⋊C4—108no—
237C4×C22⋊C4—24no—
238C4×C22⋊C4—58no—
239C4×C22⋊C4—104no—
240C2×#95—52no—
241C2×#95—52no—
242C2×#95—52no—
243C2×#95—52no—
244C2×#95—52no—
245C2×#95—52no—
246C2×#95—52no—
247C2×#95C2×D512yes—
248C23×C5—22no—
249C23×C5—22no—
250C23×C5—24no—
251C23×C5—24no—
252C23×C5—22no—
253C23×C5—22no—
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×C5C2×C4214yes—
265C23×C5C2×C4⋊C414yes—
266C23×C5#11714yes—
267C23×C5C4×D414yes—
268C23×C5C4×D414yes—
269C23×C5C4×Q814yes—
270C23×C5C4×Q814yes—
271C23×C5C23×C411yescharacteristic
272C23×C5C23×C411yescharacteristic
273C23×C5C23×C411yescharacteristic
274C23×C5C22×D412yes—
275C23×C5C22×D411yescharacteristic
276C23×C5C22×Q811yescharacteristic
277C23×C5C2×#4111yescharacteristic
278C23×C5C2×#4111yescharacteristic
279C23×C5C2×#4112yes—
280C23×C5H(5,𝔽2)12yes—
281C23×C52−1+412yes—
282C2×C4×C5—24no—
283C2×C4×C5—22no—
284C2×C4×C5—22no—
285C2×C4×C5—24no—
286C2×C4×C5—24no—
287C2×C4×C5—24no—
288C2×C4×C5—24no—
289C2×C4×C5—24no—
290C2×C4×C5—24no—
291C2×C4×C5—24no—
292C2×C4×C5—22no—
293C2×C4×C5—24no—
294C2×C4×C5—24no—
295C2×C4×C5—22no—
296C2×C4×C5—22no—
297C2×C4×C5—24no—
298C2×C4×C5—416no—
299C2×C4×C5—42no—
300C2×C4×C5—42no—
301C2×C4×C5—42no—
302C2×C4×C5—42no—
303C2×C4×C5—42no—
304C2×C4×C5—42no—
305C2×C4×C5C2×C22⋊C414yes—
306C2×C4×C5C2×C4⋊C418yescomplemented
307C2×Dic5—22no—
308C2×Dic5—22no—
309C2×Dic5—22no—
310C2×Dic5—24no—
311C2×Dic5—24no—
312C2×Dic5—22no—
313C2×Dic5—24no—
314C2×Dic5—24no—
315C2×Dic5—232no—
316C2×Dic5—22no—
317C2×Dic5—24no—
318C2×Dic5—24no—
319C2×Dic5—24no—
320C2×Dic5—24no—
321C2×Dic5—22no—
322C2×Dic5—22no—
323C2×Dic5—24no—
324C2×Dic5—24no—
325C2×Dic5—416no—
326C2×Dic5—42no—
327C2×Dic5—42no—
328C2×Dic5—42no—
329C2×Dic5—42no—
330C2×Dic5—42no—
331C2×Dic5—42no—
332C2×Dic5—42no—
333C2×Dic5—42no—
334C2×Dic5—42no—
335C2×Dic5—42no—
336C2×Dic5C2×C4214yes—
337C2×Dic5C2×C4214yes—
338C2×Dic5C2×C22⋊C414yes—
339C2×Dic5C2×C22⋊C414yes—
340C2×Dic5#11714yes—
341C2×Dic5C4×D418yes—
342C2×Dic5C4×D418yes—
343C25C22×D511yescharacteristic
344C23×C4—22no—
345C23×C4—22no—
346C23×C4—24no—
347C23×C4—42no—
348C23×C4—51no—
349C23×C4—54no—
350C23×C4—54no—
351C23×C4—54no—
352C23×C4—51no—
353C23×C4—51no—
354C23×C4—52no—
355C23×C4—52no—
356C23×C4—51no—
357C23×C4—54no—
358C23×C4—104no—
359C23×C4—104no—
360C23×C4—104no—
361C23×C4—102no—
362C23×C4—102no—
363C23×C4—202no—
364C23×C4C4×D514yes—
365C23×C4C22×D512yes—
366C23×C4C22×D511yescharacteristic
367C23×C4C22×D512yes—
368C23×C4C22×D511yescharacteristic
369C2×C4⋊C4—54no—
370C2×C4⋊C4—58no—
371C2×C4⋊C4—54no—
372C2×C4⋊C4—54no—
373C2×C4⋊C4—54no—
374C2×C4⋊C4—58no—
375C2×C4⋊C4—1032no—
376C2×C4⋊C4—104no—
377C2×C4⋊C4—104no—
378C2×C4⋊C4—104no—
379C2×C4⋊C4—104no—
380C2×C4⋊C4—104no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—54no—
384C2×C22⋊C4—54no—
385C2×C22⋊C4—102no—
386C2×C22⋊C4—102no—
387C2×C22⋊C4—102no—
388C2×C22⋊C4—102no—
389C2×C22⋊C4Dic1014yes—
390C2×C22⋊C4C4×D514yes—
391C2×C22⋊C4C4×D514yes—
392C2×C22⋊C4C22⋊D514yes—
393C2×C42—24no—
394C2×C42—24no—
395C2×C42—42no—
396C2×C42—58no—
397C2×C42—104no—
398C2×C42—104no—
399C2×C42—104no—
400C2×C42—104no—
401C2×C42—202no—
402#95—24no—
403#95—58no—
404#95—58no—
405#95—104no—
406#95—104no—
407#95—104no—
408#95—202no—
409#95—202no—
410C22×C5—24no—
411C22×C5—24no—
412C22×C5—24no—
413C22×C5—24no—
414C22×C5—28no—
415C22×C5—28no—
416C22×C5—28no—
417C22×C5—28no—
418C22×C5—24no—
419C22×C5—24no—
420C22×C5C4×C4⋊C418yescomplemented
421C22×C5C22×C4211yescharacteristic
422C22×C5C22×C22⋊C411yescharacteristic
423C22×C5C22×C4⋊C411yescharacteristic
424C22×C5C2×#11711yescharacteristic
425C22×C5C2×#11711yescharacteristic
426C22×C5C2×C4×D411yescharacteristic
427C22×C5C2×C4×D411yescharacteristic
428C22×C5C2×C4×D412yes—
429C22×C5C2×C4×D412yes—
430C22×C5C2×C4×Q811yescharacteristic
431C22×C5C2×C4×Q811yescharacteristic
432C22×C5#51811yescharacteristic
433C22×C5#51911yescharacteristic
434C22×C5#52012yes—
435C22×C5#52012yes—
436C22×C5D4212yes—
437C22×C5#54612yes—
438C22×C5#54712yes—
439C22×C5#54812yes—
440C22×C5D4×Q812yes—
441C22×C5#55212yes—
442C22×C5#55312yes—
443C22×C5#55412yes—
444C4×C5—24no—
445C4×C5—28no—
446C4×C5—42no—
447C4×C5—44no—
448Dic5—24no—
449Dic5—24no—
450Dic5—42no—
451Dic5—44no—
452Dic5—44no—
453Dic5C4×C22⋊C418yescomplemented
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24C2×Dic1012yes—
459C24C2×C4×D512yes—
460C24C2×C4×D512yes—
461C24C2×C4×D512yes—
462C24#70912yes—
463C24#70912yes—
464C24C2×C22⋊D512yes—
465C24C23×D511yescharacteristic
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—28no—
484C22×C4—28no—
485C22×C4—44no—
486C22×C4—48no—
487C22×C4—48no—
488C22×C4—52no—
489C22×C4—52no—
490C22×C4—52no—
491C22×C4—54no—
492C22×C4—54no—
493C22×C4—52no—
494C22×C4—52no—
495C22×C4—52no—
496C22×C4—52no—
497C22×C4—54no—
498C22×C4—516no—
499C22×C4—54no—
500C22×C4—54no—
501C22×C4—52no—
502C22×C4—108no—
503C22×C4—108no—
504C22×C4—1016no—
505C22×C4—1016no—
506C22×C4—108no—
507C22×C4—101no—
508C22×C4—102no—
509C22×C4—102no—
510C22×C4—102no—
511C22×C4—101no—
512C22×C4—102no—
513C22×C4—102no—
514C22×C4—102no—
515C22×C4—101no—
516C22×C4—102no—
517C22×C4—102no—
518C22×C4—102no—
519C22×C4—102no—
520C22×C4—102no—
521C22×C4—102no—
522C22×C4—102no—
523C22×C4—102no—
524C22×C4—102no—
525C22×C4—102no—
526C22×C4—101no—
527C22×C4—102no—
528C22×C4—108no—
529C22×C4—204no—
530C22×C4—208no—
531C22×C4—208no—
532C22×C4C2×Dic1014yes—
533C22×C4C2×C4×D514yes—
534C22×C4C2×C4×D512yes—
535C22×C4C2×C4×D512yes—
536C22×C4C2×C4×D514yes—
537C22×C4D4×D514yes—
538C22×C4C2×C22⋊D514yes—
539C4⋊C4—516no—
540C4⋊C4—108no—
541C4⋊C4—108no—
542C4⋊C4—1016no—
543C4⋊C4—108no—
544C22⋊C4—28no—
545C22⋊C4—108no—
546C22⋊C4—108no—
547C22⋊C4#683116yesdirect product factor
548C42—48no—
549C42—1016no—
550C42—208no—
551C2×C5—28no—
552C2×C5C2×C4×C22⋊C411yescharacteristic
553C2×C5C2×C4×C4⋊C411yescharacteristic
554C2×C5#227411yescharacteristic
555C2×C5D4×C22⋊C411yescharacteristic
556C2×C5Q8×C22⋊C411yescharacteristic
557C2×C5#234411yescharacteristic
558C2×C5#234511yescharacteristic
559C2×C5D4×C4⋊C412yes—
560C2×C5#235212yes—
561C2×C5#236012yes—
562C2×C5#236112yes—
563C23—22no—
564C23—22no—
565C23—24no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23C4×Dic1014yes—
580C23C4×Dic1014yes—
581C23C42×D514yes—
582C23#401814yes—
583C23C2×#68314yes—
584C23C4×C22⋊D514yes—
585C23C4×C22⋊D514yes—
586C23C22×Dic1011yescharacteristic
587C23C22×C4×D511yescharacteristic
588C23C22×C4×D511yescharacteristic
589C23C22×C4×D511yescharacteristic
590C23C2×#70911yescharacteristic
591C23C2×#70911yescharacteristic
592C23C2×D4×D512yes—
593C23#414412yes—
594C23D5×#4112yes—
595C23#415012yes—
596C23C22×C22⋊D511yescharacteristic
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—416no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—54no—
621C2×C4—54no—
622C2×C4—54no—
623C2×C4—58no—
624C2×C4—58no—
625C2×C4—54no—
626C2×C4—54no—
627C2×C4—1032no—
628C2×C4—102no—
629C2×C4—102no—
630C2×C4—104no—
631C2×C4—102no—
632C2×C4—102no—
633C2×C4—104no—
634C2×C4—104no—
635C2×C4—104no—
636C2×C4—104no—
637C2×C4—102no—
638C2×C4—102no—
639C2×C4—104no—
640C2×C4—102no—
641C2×C4—104no—
642C2×C4—104no—
643C2×C4—104no—
644C2×C4—104no—
645C2×C4—2016no—
646C2×C4—202no—
647C2×C4—202no—
648C2×C4—202no—
649C2×C4—202no—
650C2×C4—202no—
651C2×C4—202no—
652C2×C4—202no—
653C2×C4—202no—
654C2×C4—202no—
655C2×C4—202no—
656C2×C4D5×C22⋊C414yes—
657C2×C4C2×#68318yescomplemented
658C5C22⋊C4×C4⋊C411yescharacteristic, complemented, Sylow
659C22—28no—
660C22—28no—
661C22—24no—
662C22—24no—
663C22—24no—
664C22—24no—
665C22—28no—
666C22—28no—
667C22—24no—
668C22—24no—
669C22C4×#68318yescomplemented
670C22C2×C4×Dic1011yescharacteristic
671C22C2×C4×Dic1011yescharacteristic
672C22C2×C42×D511yescharacteristic
673C22C2×#401811yescharacteristic
674C22C2×D5×C22⋊C411yescharacteristic
675C22#6582011yescharacteristic
676C22#6582412yes—
677C22#6585011yescharacteristic
678C22D5×#11711yescharacteristic
679C22#6586512yes—
680C22D4×Dic1012yes—
681C22#6587312yes—
682C22#6587412yes—
683C22C4×D4×D512yes—
684C22C4×D4×D512yes—
685C22#6588012yes—
686C22#6588012yes—
687C22#6588612yes—
688C22C22×#68311yescharacteristic
689C22C2×C4×C22⋊D511yescharacteristic
690C22C2×C4×C22⋊D511yescharacteristic
691C22D4×C22⋊D512yes—
692C22#6615812yes—
693C4—28no—
694C4—24no—
695C4—44no—
696C4—42no—
697C4—58no—
698C4—104no—
699C4—104no—
700C4—204no—
701C4—202no—
702C4—204no—
703C2—28no—
704C2#1060516611yescharacteristic
705C2C22⋊C4×Dic1011yescharacteristic
706C2#1060518911yescharacteristic
707C2#1060519212yes—
708C2#1060519712yes—
709C2C4×D5×C22⋊C411yescharacteristic
710C2C2×C4×#68311yescharacteristic
711C2C22⋊C4×C22⋊D511yescharacteristic
712C2#1061396911yescharacteristic
713C2D4×#68312yes—
714C2#1061407112yes—
subgroupG/H
center, FrattiniC24C23×D5
commutatorC22×C5C22×C42
FittingC2×C4×C5×C22⋊C4C2
socle, cosocleC24×C5C24
prime radicalC25×C5C23
hypercenterC2×C4×C22⋊C4D5
hypocenterC5C22⋊C4×C4⋊C4
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
6. C2×C4×#683C2semidirect
9. #10602329C2semidirect
10. #10600199C2semidirect
11. #10600197C2semidirect
21. C22×#683C4semidirect
38. #65231C4semidirect
40. C22⋊C4×Dic5C4semidirect
94. C2×#683C2×C4semidirect
101. C2×C4×Dic5C2×C4semidirect
108. #3963C2×C4semidirect
109. #3963C2×C4semidirect
192. C22×Dic5C42semidirect
207. C5×C22⋊C4C4⋊C4semidirect
215. #683C22⋊C4direct (N × H)
306. C2×C4×C5C2×C4⋊C4semidirect
420. C22×C5C4×C4⋊C4semidirect
453. Dic5C4×C22⋊C4semidirect
547. C22⋊C4#683direct (N × H)
657. C2×C4C2×#683semidirect
658. C5C22⋊C4×C4⋊C4semidirect
669. C22C4×#683semidirect

Maximal subgroups

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

subgroupindex
C23×#6832
C2×C4×C5×C22⋊C42
C2×#652312
C2×C22⋊C4×Dic52
C2×C4×#6832
#106029202
#106023372
#106023292
#106001992
#106001972
C22⋊C4×C4⋊C45