Finite Group Databasebeta

← #14306093

Subgroups — #14306093

Order 1920.

816 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#91569C211yesmaximal, characteristic
2C2×#91090C211yesmaximal, characteristic, complemented
3C5×Dic3×C22⋊C4C211yesmaximal, characteristic, complemented
4C2×C3×#3938C211yesmaximal, characteristic, complemented
5#11749513C211yesmaximal, characteristic, complemented
6C2×#90997C211yesmaximal, characteristic, complemented
7C2×#90995C211yesmaximal, characteristic, complemented
8#10600249—31nomaximal, Hall
9C22×#1220C2211yescharacteristic
10C23×C5×Dic3C2211yescharacteristic
11C22×C3×C22⋊D5C2211yescharacteristic
12C22×#1202C411yescharacteristic, complemented
13C2×C3×C5×C22⋊C4C2211yescharacteristic
14C2×#6719C2211yescharacteristic
15C2×C5×#217C2211yescharacteristic
16C2×C4×C5×Dic3—21no—
17C2×C3×C22⋊Dic5C2211yescharacteristic
18#91569—21no—
19#91569—21no—
20#91569—21no—
21#91569—21no—
22C2×Dic3⋊Dic5—21no—
23C2×Dic3⋊Dic5C411yescharacteristic, complemented
24C2×#6667C411yescharacteristic, complemented
25C2×#6665C411yescharacteristic, complemented
26#91090—22no—
27C5×C3⋊#95—21no—
28C3×#3938—22no—
29#90997—22no—
30#90995—22no—
31#90994—21no—
32#70030—51nomaximal, Hall
33C2×#4076—31no—
34C4×C5×C22⋊C4—31no—
35#65501—31no—
36C2×#3938—31no—
37C2×#3938—31no—
38C2×#3938—31no—
39C2×#3938D311yescharacteristic, complemented
40C24×C3×C5C2311yescharacteristic
41C23×D15C2×C411yescharacteristic
42C23×C3×D5C2×C411yescharacteristic
43C22×C3×C4×C5—21no—
44C2×#1220—21no—
45C2×#1220—21no—
46C2×#1220—21no—
47C2×#1220—21no—
48C2×#1220—21no—
49C2×#1220—21no—
50C22×Dic15—21no—
51C22×Dic15C2×C411yescharacteristic
52C22×C5×Dic3—21no—
53C22×C5×Dic3—42no—
54C22×C5×Dic3C2×C411yescharacteristic
55C22×C5×Dic3C2×C411yescharacteristic
56C22×C5×Dic3D411yescharacteristic
57C22×C5×Dic3D411yescharacteristic
58C22×C5×Dic3D411yescharacteristic
59C22×C5×Dic3D411yescharacteristic
60C2×C3×C22⋊D5—21no—
61C2×C3×C22⋊D5—21no—
62C2×C3×C22⋊D5—21no—
63C2×C3×C22⋊D5—21no—
64C2×C3×C22⋊D5—21no—
65C2×C3×C22⋊D5—21no—
66C22×C3×Dic5—21no—
67C22×C3×Dic5C2×C411yescharacteristic
68C2×#1202—21no—
69C2×#1202—21no—
70C2×#1202—42no—
71C3×C5×C22⋊C4—21no—
72C3×C5×C22⋊C4D412yescomplemented
73#6719—21no—
74#6719—21no—
75C5×#217—21no—
76C5×#217D412yescomplemented
77C4×C5×Dic3—42no—
78C3×C22⋊Dic5—21no—
79C3×C22⋊Dic5—21no—
80Dic3⋊Dic5—21no—
81Dic3⋊Dic5—21no—
82Dic3⋊Dic5—42no—
83#6667—21no—
84#6667—21no—
85#6665—21no—
86#6665—21no—
87C2×#939—51no—
88C2×C3×#99—51no—
89C2×#834—51no—
90C2×#806—51no—
91C2×#806—51no—
92#4942—51no—
93Dic3×C22⋊C4D511yescharacteristic, complemented
94C23×C4×C5—31no—
95C22×C22⋊D5—31no—
96C22×C22⋊D5C2×D311yescharacteristic
97C22×D20—31no—
98C2×C5×C22⋊C4—31no—
99C2×C5×C22⋊C4C2×D311yescharacteristic
100C2×C42×C5—61no—
101C2×C22⋊Dic5—31no—
102C2×C22⋊Dic5C2×D311yescharacteristic
103#4076—61no—
104#4076—61no—
105#4076—61no—
106#4076—61no—
107C2×#685—31no—
108C2×#685—31no—
109C2×C4⋊Dic5—31no—
110C2×C4⋊Dic5—61no—
111C5×#95—61no—
112#3963—61no—
113#3938—22no—
114#3938—62no—
115#3938—62no—
116#3938—62no—
117#1964—151noSylow
118C23×C3×C5—41no—
119C23×C3×C5—41no—
120C23×C3×C5C22×C411yescharacteristic
121C23×C3×C5C2×D411yescharacteristic
122C23×C3×C5C2×D411yescharacteristic
123C23×C3×C5C2×D411yescharacteristic
124C23×C3×C5C2×D411yescharacteristic
125C23×C3×C5#4111yescharacteristic
126C23×C3×C5#4111yescharacteristic
127C22×D15—21no—
128C22×D15—21no—
129C22×D15—21no—
130C22×D15—41no—
131C22×D15—41no—
132C22×C3×D5—21no—
133C22×C3×D5—21no—
134C22×C3×D5—21no—
135C22×C3×D5—41no—
136C22×C3×D5—41no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—41no—
139C2×C3×C4×C5—41no—
140#1220—41no—
141#1220—41no—
142#1220—41no—
143#1220—41no—
144C2×Dic15—21no—
145C2×Dic15—21no—
146C2×Dic15—21no—
147C2×Dic15—41no—
148C2×Dic15—41no—
149C2×Dic15—41no—
150C2×C5×Dic3—22no—
151C2×C5×Dic3—22no—
152C2×C5×Dic3—22no—
153C2×C5×Dic3—22no—
154C2×C5×Dic3—41no—
155C2×C5×Dic3—41no—
156C2×C5×Dic3—41no—
157C2×C5×Dic3—41no—
158C2×C5×Dic3—41no—
159C2×C5×Dic3C22⋊C411yescharacteristic
160C2×C5×Dic3C22⋊C411yescharacteristic
161C2×C5×Dic3C22⋊C411yescharacteristic
162C2×C5×Dic3C22⋊C411yescharacteristic
163C3×C22⋊D5—41no—
164C3×C22⋊D5—41no—
165C3×C22⋊D5—41no—
166C3×C22⋊D5—41no—
167C2×C3×Dic5—21no—
168C2×C3×Dic5—21no—
169C2×C3×Dic5—21no—
170C2×C3×Dic5—41no—
171C2×C3×Dic5—41no—
172C2×C3×Dic5—41no—
173#1202—42no—
174#1202—42no—
175C22×C3×D4—51no—
176C22×#67—51no—
177C22×#67—51no—
178C23×Dic3C2×D511yescharacteristic
179C2×C3×C22⋊C4—51no—
180C2×C3×C22⋊C4C2×D511yescharacteristic
181C2×#217—51no—
182C2×#217—51no—
183C2×#217C2×D511yescharacteristic
184#939—101no—
185#939—101no—
186#939—101no—
187#939—101no—
188C2×(C2×D3)⋊C4—51no—
189C2×Dic3⋊C4—51no—
190C2×Dic3⋊C4—101no—
191C2×C4×Dic3—21no—
192C3×#99—102no—
193#834—102no—
194C3⋊#95—21no—
195C3⋊#95—101no—
196#806—102no—
197#806—102no—
198C24×C5C22×D311yescharacteristic
199C23×D5—31no—
200C23×D5C4×D311yescharacteristic
201C22×C4×C5—21no—
202C22×C4×C5—31no—
203C22×C4×C5—31no—
204C22×C4×C5—31no—
205C22×C4×C5—31no—
206C22×C4×C5—31no—
207C22×C4×C5—31no—
208C22×C4×C5—61no—
209C22×C4×C5—122no—
210C2×C22⋊D5—21no—
211C2×C22⋊D5—21no—
212C2×C22⋊D5—21no—
213C2×C22⋊D5—21no—
214C2×C22⋊D5—21no—
215C2×C22⋊D5—21no—
216C2×C22⋊D5—61no—
217C2×C22⋊D5—61no—
218C2×C22⋊D5—61no—
219C2×C22⋊D5—61no—
220C2×C22⋊D5—61no—
221C2×C22⋊D5—61no—
222C22×Dic5—21no—
223C22×Dic5—31no—
224C22×Dic5—61no—
225C22×Dic5C4×D311yescharacteristic
226C2×D20—61no—
227C2×D20—61no—
228C2×D20—122no—
229C5×C22⋊C4—21no—
230C5×C22⋊C4—32no—
231C5×C22⋊C4—61no—
232C5×C22⋊C4#6712yescomplemented
233C42×C5—122no—
234C22⋊Dic5—21no—
235C22⋊Dic5—21no—
236C22⋊Dic5—61no—
237C22⋊Dic5—61no—
238#685—61no—
239#685—61no—
240#685—61no—
241#685—61no—
242C4⋊Dic5—61no—
243C4⋊Dic5—61no—
244C4⋊Dic5—122no—
245C2×#121—151no—
246C2×#99—51no—
247C2×#99—151no—
248C2×#99—151no—
249C2×#99—151no—
250#380—151no—
251C4×C22⋊C4—31no—
252C22×C3×C5—21no—
253C22×C3×C5—21no—
254C22×C3×C5—21no—
255C22×C3×C5—21no—
256C22×C3×C5—21no—
257C22×C3×C5—21no—
258C22×C3×C5—41no—
259C22×C3×C5—41no—
260C22×C3×C5—41no—
261C22×C3×C5—41no—
262C22×C3×C5C2×C22⋊C411yescharacteristic
263C22×C3×C5C4×D411yescharacteristic
264C22×C3×C5C4×D411yescharacteristic
265C22×C3×C5#12111yescharacteristic
266C22×C3×C5#12111yescharacteristic
267C22×C3×C5#12411yescharacteristic
268C22×C3×C5#12711yescharacteristic
269C2×D15—41no—
270C2×D15—41no—
271C2×D15—41no—
272C2×D15—81no—
273C2×D15—81no—
274C2×C3×D5—41no—
275C2×C3×D5—41no—
276C2×C3×D5—41no—
277C2×C3×D5—81no—
278C2×C3×D5—81no—
279C3×C4×C5—42no—
280Dic15—41no—
281Dic15—81no—
282C3×Dic5—41no—
283C3×Dic5—81no—
284C5×Dic3—21no—
285C5×Dic3—21no—
286C5×Dic3—21no—
287C5×Dic3—42no—
288C5×Dic3#9912yescomplemented
289C24×C3—51no—
290C24×C3C22×D511yescharacteristic
291C23×D3—51no—
292C2×C3×D4—101no—
293C2×C3×D4—101no—
294C2×C3×D4—101no—
295C2×C3×D4—101no—
296C2×C3×D4—101no—
297C2×C3×D4—101no—
298C22×C3×C4—21no—
299C22×C3×C4—51no—
300C22×C3×C4—101no—
301C2×#67—101no—
302C2×#67—101no—
303C2×#67—101no—
304C2×#67—101no—
305C2×#67—101no—
306C2×#67—101no—
307C2×#67—101no—
308C2×#67—101no—
309C2×#67—202no—
310C22×Dic3—21no—
311C22×Dic3—42no—
312C22×Dic3—51no—
313C22×Dic3—101no—
314C22×Dic3C4×D511yescharacteristic
315C22×Dic3C4×D511yescharacteristic
316C22×Dic3D2011yescharacteristic
317C22×Dic3D2011yescharacteristic
318C22×Dic3C22⋊D511yescharacteristic
319C22×Dic3C22⋊D511yescharacteristic
320C3×C22⋊C4—21no—
321C3×C22⋊C4—101no—
322C3×C22⋊C4—101no—
323C3×C22⋊C4D2012yescomplemented
324#217—21no—
325#217—101no—
326#217—101no—
327#217—101no—
328#217—101no—
329#217D2012yescomplemented
330(C2×D3)⋊C4—101no—
331(C2×D3)⋊C4—101no—
332Dic3⋊C4—101no—
333Dic3⋊C4—101no—
334Dic3⋊C4—202no—
335C4×Dic3—42no—
336C23×C5—41no—
337C23×C5—41no—
338C23×C5C2×C4×D311yescharacteristic
339C23×C5#23511yescharacteristic
340C23×C5D3×D411yescharacteristic
341C23×C5D3×D411yescharacteristic
342C23×C5D3×D411yescharacteristic
343C23×C5#23711yescharacteristic
344C23×C5C2×#6711yescharacteristic
345C22×D5—21no—
346C22×D5—21no—
347C22×D5—21no—
348C22×D5—41no—
349C22×D5—41no—
350C22×D5—61no—
351C22×D5—61no—
352C22×D5—61no—
353C22×D5—121no—
354C22×D5—121no—
355C2×C4×C5—22no—
356C2×C4×C5—31no—
357C2×C4×C5—31no—
358C2×C4×C5—31no—
359C2×C4×C5—31no—
360C2×C4×C5—41no—
361C2×C4×C5—41no—
362C2×C4×C5—62no—
363C2×C4×C5—62no—
364C2×C4×C5—62no—
365C2×C4×C5—62no—
366C2×C4×C5—121no—
367C2×C4×C5—121no—
368C2×C4×C5—121no—
369C2×C4×C5—121no—
370C2×C4×C5—121no—
371C22⋊D5—41no—
372C22⋊D5—41no—
373C22⋊D5—41no—
374C22⋊D5—41no—
375C22⋊D5—121no—
376C22⋊D5—121no—
377C22⋊D5—121no—
378C22⋊D5—121no—
379C2×Dic5—21no—
380C2×Dic5—21no—
381C2×Dic5—21no—
382C2×Dic5—41no—
383C2×Dic5—41no—
384C2×Dic5—41no—
385C2×Dic5—61no—
386C2×Dic5—61no—
387C2×Dic5—61no—
388C2×Dic5—121no—
389C2×Dic5—121no—
390C2×Dic5—121no—
391D20—122no—
392D20—122no—
393C22×D4—51no—
394C22×D4—151no—
395C22×D4—151no—
396C23×C4—31no—
397#121—301no—
398#121—301no—
399#121—301no—
400#121—301no—
401C2×C4⋊C4—151no—
402C2×C4⋊C4—301no—
403C2×C22⋊C4—31no—
404C2×C22⋊C4—51no—
405C2×C22⋊C4—151no—
406C2×C22⋊C4—151no—
407C2×C22⋊C4—151no—
408C2×C22⋊C4D3×D511yescharacteristic
409C2×C42—61no—
410#99—102no—
411#99—302no—
412#99—302no—
413#99—302no—
414#95—61no—
415#95—301no—
416C2×C3×C5—21no—
417C2×C3×C5—21no—
418C2×C3×C5—21no—
419C2×C3×C5—21no—
420C2×C3×C5—21no—
421C2×C3×C5—21no—
422C2×C3×C5#39011yescharacteristic
423C2×C3×C5C2×#9911yescharacteristic
424C2×C3×C5#41011yescharacteristic
425D15—81no—
426C3×D5—81no—
427C23×C3—41no—
428C23×C3—41no—
429C23×C3—101no—
430C23×C3—101no—
431C23×C3—101no—
432C23×C3—201no—
433C23×C3—201no—
434C23×C3C2×C4×D511yescharacteristic
435C23×C3C2×D2011yescharacteristic
436C23×C3C2×D2011yescharacteristic
437C23×C3C2×D2011yescharacteristic
438C23×C3#70911yescharacteristic
439C23×C3#70911yescharacteristic
440C23×C3C2×C22⋊D511yescharacteristic
441C22×D3—101no—
442C22×D3—101no—
443C22×D3—101no—
444C22×D3—201no—
445C22×D3—201no—
446C3×D4—201no—
447C3×D4—201no—
448C3×D4—201no—
449C3×D4—201no—
450C2×C3×C4—22no—
451C2×C3×C4—41no—
452C2×C3×C4—41no—
453C2×C3×C4—101no—
454C2×C3×C4—101no—
455C2×C3×C4—101no—
456C2×C3×C4—201no—
457C2×C3×C4—201no—
458C2×C3×C4—201no—
459#67—202no—
460#67—201no—
461#67—201no—
462#67—201no—
463#67—201no—
464#67—202no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—41no—
470C2×Dic3—41no—
471C2×Dic3—41no—
472C2×Dic3—41no—
473C2×Dic3—41no—
474C2×Dic3—101no—
475C2×Dic3—101no—
476C2×Dic3—101no—
477C2×Dic3—201no—
478C2×Dic3—201no—
479C2×Dic3—201no—
480C2×Dic3#68511yescharacteristic
481C2×Dic3#68511yescharacteristic
482C2×Dic3#68511yescharacteristic
483C2×Dic3#68511yescharacteristic
484C22×C5—21no—
485C22×C5—21no—
486C22×C5—21no—
487C22×C5—21no—
488C22×C5—21no—
489C22×C5—21no—
490C22×C5—41no—
491C22×C5—41no—
492C22×C5—41no—
493C22×C5—41no—
494C22×C5D3×C22⋊C411yescharacteristic
495C22×C5#67⋊C411yescharacteristic
496C22×C5#88411yescharacteristic
497C22×C5#88511yescharacteristic
498C22×C5C4×#6711yescharacteristic
499C22×C5#93911yescharacteristic
500C22×C5#94011yescharacteristic
501C2×D5—41no—
502C2×D5—41no—
503C2×D5—41no—
504C2×D5—81no—
505C2×D5—81no—
506C2×D5—121no—
507C2×D5—121no—
508C2×D5—121no—
509C2×D5—241no—
510C2×D5—241no—
511C4×C5—32no—
512C4×C5—42no—
513C4×C5—61no—
514C4×C5—61no—
515C4×C5—61no—
516C4×C5—122no—
517Dic5—41no—
518Dic5—81no—
519Dic5—121no—
520Dic5—241no—
521C24—51no—
522C24—151no—
523C24C2×D3×D511yescharacteristic
524C2×D4—101no—
525C2×D4—101no—
526C2×D4—101no—
527C2×D4—101no—
528C2×D4—101no—
529C2×D4—101no—
530C2×D4—301no—
531C2×D4—301no—
532C2×D4—301no—
533C2×D4—301no—
534C2×D4—301no—
535C2×D4—301no—
536C2×D4—301no—
537C2×D4—301no—
538C2×D4—602no—
539C22×C4—21no—
540C22×C4—31no—
541C22×C4—31no—
542C22×C4—31no—
543C22×C4—31no—
544C22×C4—31no—
545C22×C4—31no—
546C22×C4—51no—
547C22×C4—61no—
548C22×C4—101no—
549C22×C4—122no—
550C22×C4—151no—
551C22×C4—301no—
552C4⋊C4—301no—
553C4⋊C4—301no—
554C4⋊C4—602no—
555C22⋊C4—21no—
556C22⋊C4—32no—
557C22⋊C4—61no—
558C22⋊C4—101no—
559C22⋊C4—101no—
560C22⋊C4—301no—
561C22⋊C4—301no—
562C22⋊C4—301no—
563C22⋊C4—301no—
564C22⋊C4—301no—
565C22⋊C4—301no—
566C22⋊C4#120212yescomplemented
567C42—122no—
568C3×C5#196411yescharacteristic, complemented, Hall
569C22×C3—21no—
570C22×C3—21no—
571C22×C3—21no—
572C22×C3—21no—
573C22×C3—21no—
574C22×C3—21no—
575C22×C3—41no—
576C22×C3—41no—
577C22×C3—41no—
578C22×C3—41no—
579C22×C3—201no—
580C22×C3—201no—
581C22×C3—201no—
582C22×C3—401no—
583C22×C3—401no—
584C22×C3C4×D2011yescharacteristic
585C22×C3C4×D2011yescharacteristic
586C22×C3#402011yescharacteristic
587C22×C3#402111yescharacteristic
588C22×C3C2×#68511yescharacteristic
589C22×C3#407611yescharacteristic
590C22×C3#407611yescharacteristic
591C2×D3—201no—
592C2×D3—201no—
593C2×D3—201no—
594C2×D3—401no—
595C2×D3—401no—
596C3×C4—42no—
597C3×C4—201no—
598C3×C4—401no—
599Dic3—21no—
600Dic3—21no—
601Dic3—21no—
602Dic3—42no—
603Dic3—201no—
604Dic3—401no—
605Dic3#393812yescomplemented
606C2×C5—21no—
607C2×C5—21no—
608C2×C5—21no—
609C2×C5—21no—
610C2×C5—21no—
611C2×C5—21no—
612C2×C5#474011yescharacteristic
613C2×C5D3×#9911yescharacteristic
614C2×C5#495711yescharacteristic
615D5—81no—
616D5—241no—
617C23—41no—
618C23—41no—
619C23—101no—
620C23—101no—
621C23—101no—
622C23—201no—
623C23—201no—
624C23—301no—
625C23—301no—
626C23—301no—
627C23—601no—
628C23—601no—
629C23#677111yescharacteristic
630C23C4×D3×D511yescharacteristic
631C23D3×D2011yescharacteristic
632C23D3×D2011yescharacteristic
633C23#677911yescharacteristic
634C23C2×#120211yescharacteristic
635C23D3×C22⋊D511yescharacteristic
636D4—201no—
637D4—201no—
638D4—201no—
639D4—201no—
640D4—602no—
641D4—602no—
642D4—601no—
643D4—601no—
644D4—601no—
645D4—601no—
646C2×C4—22no—
647C2×C4—31no—
648C2×C4—31no—
649C2×C4—31no—
650C2×C4—31no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—62no—
654C2×C4—62no—
655C2×C4—62no—
656C2×C4—62no—
657C2×C4—101no—
658C2×C4—101no—
659C2×C4—101no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—201no—
666C2×C4—201no—
667C2×C4—201no—
668C2×C4—301no—
669C2×C4—301no—
670C2×C4—301no—
671C2×C4—601no—
672C2×C4—601no—
673C2×C4—601no—
674C2×C3—21no—
675C2×C3—21no—
676C2×C3—21no—
677C2×C3—21no—
678C2×C3—21no—
679C2×C3—21no—
680C2×C3—401no—
681C2×C3#6522811yescharacteristic
682C2×C3C2×#393811yescharacteristic
683C2×C3#6529511yescharacteristic
684D3—401no—
685C5#7003011yescharacteristic, complemented, Sylow
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—201no—
697C22—201no—
698C22—201no—
699C22—401no—
700C22—401no—
701C22—601no—
702C22—601no—
703C22—601no—
704C22—1201no—
705C22—1201no—
706C22#9135311yescharacteristic
707C22#9139511yescharacteristic
708C22C4×#120211yescharacteristic
709C22#9145411yescharacteristic
710C22#9145811yescharacteristic
711C22D3×#68511yescharacteristic
712C22#9156911yescharacteristic
713C4—32no—
714C4—42no—
715C4—61no—
716C4—61no—
717C4—61no—
718C4—122no—
719C4—201no—
720C4—401no—
721C4—601no—
722C4—1201no—
723C3#1060024911yescharacteristic, complemented, Sylow
724C2—21no—
725C2—21no—
726C2—21no—
727C2—21no—
728C2—21no—
729C2—21no—
730C2—401no—
731C2—1201no—
732C2D3×#393811yescharacteristic
733C2#1174713011yescharacteristic
734C2#1174891211yescharacteristic
subgroupG/H
centerC22D3×#685
commutatorC23×C3×C5C22×C4
FrattiniC24C2×D3×D5
FittingC2×C3×C5×C22⋊C4C22
socleC22×C3×C5C2×C22⋊C4
prime radicalC2×#91569C2
cosocleC24×C3×C5C23
hypercenterC2×C22⋊C4D3×D5
hypocenterC3×C5#1964
LCSG ▷ C23×C3×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C24 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#91090C2semidirect
3. C5×Dic3×C22⋊C4C2semidirect
4. C2×C3×#3938C2semidirect
5. #11749513C2semidirect
6. C2×#90997C2semidirect
7. C2×#90995C2semidirect
12. C22×#1202C4semidirect
23. C2×Dic3⋊Dic5C4semidirect
24. C2×#6667C4semidirect
25. C2×#6665C4semidirect
39. C2×#3938D3semidirect
72. C3×C5×C22⋊C4D4semidirect
76. C5×#217D4semidirect
93. Dic3×C22⋊C4D5semidirect
232. C5×C22⋊C4#67semidirect
288. C5×Dic3#99semidirect
323. C3×C22⋊C4D20semidirect
329. #217D20semidirect
566. C22⋊C4#1202semidirect
568. C3×C5#1964semidirect
605. Dic3#3938semidirect
685. C5#70030semidirect
723. C3#10600249semidirect

Maximal subgroups

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

subgroupindex
C2×#915692
C2×#910902
C5×Dic3×C22⋊C42
C2×C3×#39382
#117495132
C2×#909972
C2×#909952
#106002493
#700305