Finite Group Databasebeta

← #11810284

Subgroups — #11810284

Order 1152.

2400 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#120C211yesmaximal, characteristic
2C22×#3757C211yesmaximal, characteristic, complemented
3C2×#64144C211yesmaximal, characteristic, complemented
4C2×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
5#10592946C211yesmaximal, characteristic, complemented
6#10592921C211yesmaximal, characteristic, complemented
7#10592921C211yesmaximal, characteristic, complemented
8#10592919C211yesmaximal, characteristic, complemented
9#10592919C211yesmaximal, characteristic, complemented
10#10592652C211yesmaximal, characteristic, complemented
11#10592648C211yesmaximal, characteristic, complemented
12#10592645C211yesmaximal, characteristic, complemented
13#10592643C211yesmaximal, characteristic, complemented
14#10592643C211yesmaximal, characteristic, complemented
15#10592641C211yesmaximal, characteristic, complemented
16#82585—34nomaximal
17C25×C32C2211yescharacteristic
18C22×C32×D4C2211yescharacteristic
19C22×C32×D4C2211yescharacteristic
20C22×C32×D4C2211yescharacteristic
21C23×C3⋊Dic3C2211yescharacteristic
22C23×C3⋊Dic3C2211yescharacteristic
23C23×C3⋊Dic3C2211yescharacteristic, complemented
24C32×#120—24no—
25C2×C32×C22⋊C4C2211yescharacteristic
26C2×C32×C22⋊C4C2211yescharacteristic
27C2×C32×C22⋊C4C2211yescharacteristic
28C2×#3757—24no—
29C2×#3757C2211yescharacteristic
30C2×#3757C2211yescharacteristic
31C2×#3757C2211yescharacteristic
32C2×#3757C2211yescharacteristic
33C2×#3757C2211yescharacteristic
34C2×#3757C2211yescharacteristic
35C2×#3757C2211yescharacteristic
36C2×#3757C2211yescharacteristic
37C2×#3757C2211yescharacteristic
38C2×#3757C2211yescharacteristic
39C2×#3757C2211yescharacteristic, complemented
40C2×#3757C2211yescharacteristic, complemented
41C2×#3757C2211yescharacteristic, complemented
42#64144—24no—
43D4×C3⋊Dic3—24no—
44C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
45C2×#3750C2211yescharacteristic, complemented
46C2×#3750C2211yescharacteristic, complemented
47C2×#3750C2211yescharacteristic, complemented
48C2×#3750C2211yescharacteristic, complemented
49C2×C4×C3⋊Dic3C2211yescharacteristic, complemented
50#63658C2211yescharacteristic, complemented
51#63658C2211yescharacteristic, complemented
52#63658C2211yescharacteristic, complemented
53#63658C2211yescharacteristic, complemented
54#63658C2211yescharacteristic, complemented
55#63658C2211yescharacteristic, complemented
56C2×C3×#120D314yes—
57C22×#217—34no—
58C2×#935—34no—
59C2×D4×Dic3—34no—
60#5247—34no—
61#5222—34no—
62#5222—34no—
63#5220—34no—
64#5220—34no—
65#4953—34no—
66#4949—34no—
67#4946—34no—
68#4944—34no—
69#4944—34no—
70#4942—34no—
71C24×C32—22no—
72C24×C32—22no—
73C24×C32—22no—
74C24×C32—22no—
75C24×C32—22no—
76C24×C32—41no—
77C24×C32—41no—
78C24×C32C2311yescharacteristic
79C24×C32C2311yescharacteristic
80C24×C32C2311yescharacteristic
81C24×C32C2311yescharacteristic
82C2×C32×D4—22no—
83C2×C32×D4—22no—
84C2×C32×D4—22no—
85C2×C32×D4—22no—
86C2×C32×D4—22no—
87C2×C32×D4—22no—
88C2×C32×D4—41no—
89C2×C32×D4—41no—
90C2×C32×D4D414yes—
91C22×C32×C4C2311yescharacteristic
92C22×C32×C4C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C22×C3⋊Dic3—22no—
95C22×C3⋊Dic3—22no—
96C22×C3⋊Dic3—22no—
97C22×C3⋊Dic3—22no—
98C22×C3⋊Dic3—22no—
99C22×C3⋊Dic3—22no—
100C22×C3⋊Dic3—41no—
101C22×C3⋊Dic3—41no—
102C22×C3⋊Dic3—41no—
103C22×C3⋊Dic3C2311yescharacteristic
104C22×C3⋊Dic3C2311yescharacteristic
105C22×C3⋊Dic3C2311yescharacteristic
106C22×C3⋊Dic3C2311yescharacteristic
107C22×C3⋊Dic3C2311yescharacteristic
108C22×C3⋊Dic3C2311yescharacteristic
109C22×C3⋊Dic3C2311yescharacteristic
110C22×C3⋊Dic3C2311yescharacteristic
111C32×C22⋊C4—22no—
112C32×C22⋊C4—22no—
113C32×C22⋊C4—22no—
114#3757—22no—
115#3757—22no—
116#3757—22no—
117#3757—22no—
118#3757—22no—
119#3757—22no—
120#3757—22no—
121#3757—22no—
122#3757—22no—
123#3757—41no—
124#3757—41no—
125#3757—41no—
126#3757D414yescomplemented
127C4⋊(C3⋊Dic3)—22no—
128#3750—22no—
129#3750—22no—
130#3750—41no—
131#3750—41no—
132C4×C3⋊Dic3—22no—
133#2418—91noSylow
134C25×C3C2×D314yes—
135C22×C3×D4C2×D314yes—
136C22×C3×D4C2×D314yes—
137C22×C3×D4C2×D314yes—
138C23×Dic3—34no—
139C23×Dic3—34no—
140C23×Dic3—34no—
141C3×#120—216no—
142C2×C3×C22⋊C4C2×D314yes—
143C2×C3×C22⋊C4C2×D314yes—
144C2×C3×C22⋊C4C2×D314yes—
145C2×#217—34no—
146C2×#217—34no—
147C2×#217—34no—
148C2×#217—34no—
149C2×#217—34no—
150C2×#217—34no—
151C2×#217—34no—
152C2×#217—34no—
153C2×#217—34no—
154C2×#217—34no—
155C2×#217—34no—
156C2×#217—34no—
157C2×#217—34no—
158C2×#217—616no—
159#935—616no—
160D4×Dic3—616no—
161C2×C4⋊Dic3—34no—
162C2×Dic3⋊C4—34no—
163C2×Dic3⋊C4—34no—
164C2×Dic3⋊C4—34no—
165C2×Dic3⋊C4—34no—
166C2×C4×Dic3—34no—
167C3⋊#95—34no—
168C3⋊#95—34no—
169C3⋊#95—34no—
170C3⋊#95—34no—
171C3⋊#95—34no—
172C3⋊#95—34no—
173C23×C32—21no—
174C23×C32—21no—
175C23×C32—21no—
176C23×C32—21no—
177C23×C32—28no—
178C23×C32—21no—
179C23×C32—21no—
180C23×C32—21no—
181C23×C32—21no—
182C23×C32—21no—
183C23×C32—21no—
184C23×C32—21no—
185C23×C32—21no—
186C23×C32—21no—
187C23×C32—21no—
188C23×C32—21no—
189C23×C32—21no—
190C23×C32—21no—
191C23×C32—21no—
192C23×C32—21no—
193C23×C32—21no—
194C23×C32—21no—
195C23×C32—21no—
196C23×C32—44no—
197C23×C32—44no—
198C23×C32—44no—
199C23×C32—44no—
200C23×C32—44no—
201C23×C32—44no—
202C23×C32C2×D412yes—
203C23×C32C2×D412yes—
204C23×C32C2×D412yes—
205C23×C32#4112yes—
206C23×C32#4112yes—
207C23×C32#4112yes—
208C23×C32C2411yescharacteristic
209C32×D4—28no—
210C32×D4—44no—
211C32×D4—44no—
212C2×C32×C4—21no—
213C2×C32×C4—21no—
214C2×C32×C4—21no—
215C2×C32×C4—21no—
216C2×C32×C4—21no—
217C2×C32×C4—21no—
218C2×C32×C4—21no—
219C2×C32×C4—21no—
220C2×C32×C4C2×D412yes—
221C2×C3⋊Dic3—21no—
222C2×C3⋊Dic3—21no—
223C2×C3⋊Dic3—21no—
224C2×C3⋊Dic3—21no—
225C2×C3⋊Dic3—21no—
226C2×C3⋊Dic3—21no—
227C2×C3⋊Dic3—21no—
228C2×C3⋊Dic3—21no—
229C2×C3⋊Dic3—21no—
230C2×C3⋊Dic3—21no—
231C2×C3⋊Dic3—21no—
232C2×C3⋊Dic3—21no—
233C2×C3⋊Dic3—21no—
234C2×C3⋊Dic3—21no—
235C2×C3⋊Dic3—21no—
236C2×C3⋊Dic3—21no—
237C2×C3⋊Dic3—21no—
238C2×C3⋊Dic3—21no—
239C2×C3⋊Dic3—21no—
240C2×C3⋊Dic3—21no—
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—44no—
244C2×C3⋊Dic3—44no—
245C2×C3⋊Dic3—44no—
246C2×C3⋊Dic3C2×D412yes—
247C2×C3⋊Dic3C2×D412yes—
248C2×#123—91no—
249C2×#120C3⋊D311yescharacteristic
250C2×C4×D4—91no—
251C22×C22⋊C4—91no—
252#399—91no—
253#397—91no—
254#394—91no—
255#394—91no—
256#388—91no—
257#388—91no—
258#386—91no—
259#386—91no—
260#385—91no—
261#380—91no—
262#379—91no—
263C24×C3—28no—
264C24×C3—28no—
265C24×C3—28no—
266C24×C3—28no—
267C24×C3—28no—
268C24×C3—44no—
269C24×C3—44no—
270C24×C3C22×D314yes—
271C24×C3C22×D314yes—
272C24×C3C22×D314yes—
273C24×C3C22×D314yes—
274C2×C3×D4—28no—
275C2×C3×D4—28no—
276C2×C3×D4—28no—
277C2×C3×D4—28no—
278C2×C3×D4—28no—
279C2×C3×D4—28no—
280C2×C3×D4—44no—
281C2×C3×D4—44no—
282C2×C3×D4#67116yes—
283C22×C3×C4C22×D314yes—
284C22×C3×C4C22×D314yes—
285C22×C3×C4C22×D314yes—
286C22×Dic3—34no—
287C22×Dic3—34no—
288C22×Dic3—34no—
289C22×Dic3—34no—
290C22×Dic3—34no—
291C22×Dic3—34no—
292C22×Dic3—34no—
293C22×Dic3—34no—
294C22×Dic3—68no—
295C22×Dic3—68no—
296C22×Dic3—68no—
297C22×Dic3—68no—
298C22×Dic3—68no—
299C22×Dic3—68no—
300C22×Dic3—124no—
301C22×Dic3—124no—
302C22×Dic3—124no—
303C3×C22⋊C4—28no—
304C3×C22⋊C4—28no—
305C3×C22⋊C4—28no—
306#217—316no—
307#217—68no—
308#217—68no—
309#217—68no—
310#217—68no—
311#217—68no—
312#217—68no—
313#217—68no—
314#217—68no—
315#217—68no—
316#217—124no—
317#217—124no—
318#217—124no—
319C4⋊Dic3—68no—
320Dic3⋊C4—68no—
321Dic3⋊C4—68no—
322Dic3⋊C4—124no—
323Dic3⋊C4—124no—
324C4×Dic3—68no—
325C22×C32—22no—
326C22×C32—22no—
327C22×C32—22no—
328C22×C32—22no—
329C22×C32—22no—
330C22×C32—22no—
331C22×C32—22no—
332C22×C32—22no—
333C22×C32—22no—
334C22×C32—22no—
335C22×C32—22no—
336C22×C32—22no—
337C22×C32—22no—
338C22×C32—22no—
339C22×C32—22no—
340C22×C32—416no—
341C22×C32—41no—
342C22×C32—41no—
343C22×C32—41no—
344C22×C32—41no—
345C22×C32—41no—
346C22×C32—41no—
347C22×C32—41no—
348C22×C32—41no—
349C22×C32—41no—
350C22×C32—41no—
351C22×C32—41no—
352C22×C32—41no—
353C22×C32#12314yescomplemented
354C22×C32C22×D411yescharacteristic
355C22×C32C22×D411yescharacteristic
356C22×C32C2×#4111yescharacteristic
357C22×C32C2×#4111yescharacteristic
358C22×C32C2×#4111yescharacteristic
359C22×C32H(5,𝔽2)11yescharacteristic
360C22×C32H(5,𝔽2)11yescharacteristic
361C32×C4—22no—
362C32×C4—41no—
363C32×C4—41no—
364C3⋊Dic3—22no—
365C3⋊Dic3—22no—
366C3⋊Dic3—41no—
367C3⋊Dic3—41no—
368C3⋊Dic3—41no—
369C3⋊Dic3—41no—
370C3⋊Dic3—41no—
371C3⋊Dic3—41no—
372C25C2×C3⋊D311yescharacteristic
373C22×D4C2×C3⋊D311yescharacteristic
374C22×D4C2×C3⋊D311yescharacteristic
375C22×D4C2×C3⋊D311yescharacteristic
376C23×C4—91no—
377C23×C4—91no—
378C23×C4—91no—
379#123—184no—
380#120—24no—
381C4×D4—184no—
382C2×C4⋊C4—91no—
383C2×C4⋊C4—91no—
384C2×C4⋊C4—91no—
385C2×C4⋊C4—91no—
386C2×C4⋊C4—91no—
387C2×C22⋊C4—91no—
388C2×C22⋊C4—91no—
389C2×C22⋊C4—91no—
390C2×C22⋊C4—91no—
391C2×C22⋊C4—91no—
392C2×C22⋊C4—91no—
393C2×C22⋊C4—91no—
394C2×C22⋊C4—91no—
395C2×C22⋊C4—91no—
396C2×C22⋊C4—91no—
397C2×C22⋊C4—91no—
398C2×C22⋊C4—91no—
399C2×C22⋊C4—91no—
400C2×C22⋊C4—184no—
401C2×C22⋊C4C2×C3⋊D311yescharacteristic
402C2×C22⋊C4C2×C3⋊D311yescharacteristic
403C2×C22⋊C4C2×C3⋊D311yescharacteristic
404C2×C42—91no—
405#95—91no—
406#95—91no—
407#95—91no—
408#95—91no—
409#95—91no—
410#95—91no—
411C23×C3—24no—
412C23×C3—24no—
413C23×C3—24no—
414C23×C3—24no—
415C23×C3—232no—
416C23×C3—24no—
417C23×C3—24no—
418C23×C3—24no—
419C23×C3—24no—
420C23×C3—24no—
421C23×C3—24no—
422C23×C3—24no—
423C23×C3—24no—
424C23×C3—24no—
425C23×C3—24no—
426C23×C3—24no—
427C23×C3—24no—
428C23×C3—24no—
429C23×C3—24no—
430C23×C3—24no—
431C23×C3—24no—
432C23×C3—24no—
433C23×C3—24no—
434C23×C3—416no—
435C23×C3—416no—
436C23×C3—416no—
437C23×C3—416no—
438C23×C3—416no—
439C23×C3—416no—
440C23×C3D3×D418yes—
441C23×C3#23718yes—
442C23×C3#23718yes—
443C23×C3#23718yes—
444C23×C3C2×#6718yes—
445C23×C3C2×#6718yes—
446C23×C3C23×D314yes—
447C3×D4—232no—
448C3×D4—416no—
449C3×D4—416no—
450C2×C3×C4—24no—
451C2×C3×C4—24no—
452C2×C3×C4—24no—
453C2×C3×C4—24no—
454C2×C3×C4—24no—
455C2×C3×C4—24no—
456C2×C3×C4—24no—
457C2×C3×C4—24no—
458C2×C3×C4C2×#6718yes—
459C2×Dic3—38no—
460C2×Dic3—38no—
461C2×Dic3—64no—
462C2×Dic3—64no—
463C2×Dic3—64no—
464C2×Dic3—64no—
465C2×Dic3—64no—
466C2×Dic3—64no—
467C2×Dic3—64no—
468C2×Dic3—64no—
469C2×Dic3—64no—
470C2×Dic3—64no—
471C2×Dic3—64no—
472C2×Dic3—64no—
473C2×Dic3—64no—
474C2×Dic3—64no—
475C2×Dic3—64no—
476C2×Dic3—64no—
477C2×Dic3—64no—
478C2×Dic3—64no—
479C2×Dic3—64no—
480C2×Dic3—64no—
481C2×Dic3—64no—
482C2×Dic3—64no—
483C2×Dic3—1216no—
484C2×Dic3—1216no—
485C2×Dic3—1216no—
486C2×C32—24no—
487C2×C32—42no—
488C2×C32—42no—
489C2×C32—42no—
490C2×C32C2×#12311yescharacteristic
491C2×C32#52511yescharacteristic
492C2×C32#53811yescharacteristic
493C2×C32D4211yescharacteristic
494C2×C32#54611yescharacteristic
495C2×C32#54611yescharacteristic
496C2×C32#55111yescharacteristic
497C24—22no—
498C24—22no—
499C24—22no—
500C24—22no—
501C24—22no—
502C24—41no—
503C24—41no—
504C24C22×C3⋊D311yescharacteristic
505C24C22×C3⋊D311yescharacteristic
506C24C22×C3⋊D311yescharacteristic
507C24C22×C3⋊D311yescharacteristic
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—41no—
515C2×D4—41no—
516C2×D4#63814yes—
517C22×C4—91no—
518C22×C4—91no—
519C22×C4—91no—
520C22×C4—91no—
521C22×C4—91no—
522C22×C4—91no—
523C22×C4—91no—
524C22×C4—91no—
525C22×C4—182no—
526C22×C4—182no—
527C22×C4—182no—
528C22×C4—182no—
529C22×C4—182no—
530C22×C4—182no—
531C22×C4—361no—
532C22×C4—361no—
533C22×C4—361no—
534C22×C4C22×C3⋊D311yescharacteristic
535C22×C4C22×C3⋊D311yescharacteristic
536C22×C4C22×C3⋊D311yescharacteristic
537C4⋊C4—182no—
538C4⋊C4—182no—
539C4⋊C4—182no—
540C4⋊C4—361no—
541C4⋊C4—361no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—94no—
546C22⋊C4—182no—
547C22⋊C4—182no—
548C22⋊C4—182no—
549C22⋊C4—182no—
550C22⋊C4—182no—
551C22⋊C4—182no—
552C22⋊C4—182no—
553C22⋊C4—182no—
554C22⋊C4—182no—
555C22⋊C4—361no—
556C22⋊C4—361no—
557C22⋊C4—361no—
558C42—182no—
559C22×C3—28no—
560C22×C3—28no—
561C22×C3—28no—
562C22×C3—28no—
563C22×C3—28no—
564C22×C3—28no—
565C22×C3—28no—
566C22×C3—28no—
567C22×C3—28no—
568C22×C3—28no—
569C22×C3—28no—
570C22×C3—28no—
571C22×C3—28no—
572C22×C3—28no—
573C22×C3—28no—
574C22×C3—464no—
575C22×C3—44no—
576C22×C3—44no—
577C22×C3—44no—
578C22×C3—44no—
579C22×C3—44no—
580C22×C3—44no—
581C22×C3—44no—
582C22×C3—44no—
583C22×C3—44no—
584C22×C3—44no—
585C22×C3—44no—
586C22×C3—44no—
587C22×C3#935116yescomplemented
588C22×C3C2×D3×D414yes—
589C22×C3C2×#23714yes—
590C22×C3C2×#23714yes—
591C22×C3C2×#23714yes—
592C22×C3#100414yes—
593C22×C3#100414yes—
594C22×C3C22×#6714yes—
595C3×C4—28no—
596C3×C4—44no—
597C3×C4—44no—
598Dic3—68no—
599Dic3—68no—
600Dic3—124no—
601Dic3—124no—
602Dic3—124no—
603Dic3—124no—
604Dic3—124no—
605Dic3—124no—
606C32#241811yescharacteristic, complemented, Sylow
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—28no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23D4×C3⋊D312yes—
637C23#383012yes—
638C23#383012yes—
639C23#383012yes—
640C23C2×#63812yes—
641C23C2×#63812yes—
642C23C23×C3⋊D311yescharacteristic
643D4—28no—
644D4—44no—
645D4—44no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—92no—
655C2×C4—92no—
656C2×C4—181no—
657C2×C4—181no—
658C2×C4—181no—
659C2×C4—181no—
660C2×C4—181no—
661C2×C4—181no—
662C2×C4—181no—
663C2×C4—181no—
664C2×C4—181no—
665C2×C4—181no—
666C2×C4—181no—
667C2×C4—181no—
668C2×C4—181no—
669C2×C4—181no—
670C2×C4—181no—
671C2×C4—181no—
672C2×C4—181no—
673C2×C4—181no—
674C2×C4—181no—
675C2×C4—181no—
676C2×C4—181no—
677C2×C4—181no—
678C2×C4—364no—
679C2×C4—364no—
680C2×C4—364no—
681C2×C4C2×#63812yes—
682C2×C3—216no—
683C2×C3—48no—
684C2×C3—48no—
685C2×C3—48no—
686C2×C3#558614yes—
687C2×C3#558714yes—
688C2×C3#559114yes—
689C2×C3#559314yes—
690C2×C3C2×#93514yes—
691C2×C3D4×#6714yes—
692C2×C3#580614yes—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—416no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22#6414414yescomplemented
722C22C2×D4×C3⋊D311yescharacteristic
723C22C2×#383011yescharacteristic
724C22C2×#383011yescharacteristic
725C22C2×#383011yescharacteristic
726C22#6436111yescharacteristic
727C22#6436111yescharacteristic
728C22C22×#63811yescharacteristic
729C4—22no—
730C4—41no—
731C4—41no—
732C4—182no—
733C4—182no—
734C4—361no—
735C4—361no—
736C4—361no—
737C4—361no—
738C4—361no—
739C4—361no—
740C3#8258514yescomplemented
741C2—24no—
742C2—42no—
743C2—42no—
744C2—42no—
745C2#1059605711yescharacteristic
746C2#1059605811yescharacteristic
747C2#1059606211yescharacteristic
748C2#1059606411yescharacteristic
749C2C2×#6414411yescharacteristic
750C2D4×#63811yescharacteristic
751C2#1059627711yescharacteristic
subgroupG/H
center, FrattiniC23C23×C3⋊D3
commutator, socle, cosocleC23×C32C24
Fitting, prime radicalC2×C32×#120C2
hypercenterC2×#120C3⋊D3
hypocenterC32#2418
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×#120

Complements

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

NH ≅ G/Ntype
2. C22×#3757C2semidirect
3. C2×#64144C2semidirect
4. C2×D4×C3⋊Dic3C2semidirect
5. #10592946C2semidirect
6. #10592921C2semidirect
7. #10592921C2semidirect
8. #10592919C2semidirect
9. #10592919C2semidirect
10. #10592652C2semidirect
11. #10592648C2semidirect
12. #10592645C2semidirect
13. #10592643C2semidirect
14. #10592643C2semidirect
15. #10592641C2semidirect
23. C23×C3⋊Dic3C22semidirect
39. C2×#3757C22semidirect
40. C2×#3757C22semidirect
41. C2×#3757C22semidirect
44. C2×C4⋊(C3⋊Dic3)C22semidirect
45. C2×#3750C22semidirect
46. C2×#3750C22semidirect
47. C2×#3750C22semidirect
48. C2×#3750C22semidirect
49. C2×C4×C3⋊Dic3C22semidirect
50. #63658C22semidirect
51. #63658C22semidirect
52. #63658C22semidirect
53. #63658C22semidirect
54. #63658C22semidirect
55. #63658C22semidirect
126. #3757D4semidirect
353. C22×C32#123semidirect
587. C22×C3#935semidirect
606. C32#2418semidirect
721. C22#64144semidirect
740. C3#82585semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#1202
C22×#37572
C2×#641442
C2×D4×C3⋊Dic32
#105929462
#105929212
#105929192
#105926522
#105926482
#105926452
#105926432
#105926412
#825853