Finite Group Databasebeta

← #10828468

Subgroups — #10828468

Order 768.

1352 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5596C211yesmaximal, characteristic
2C2×C3×#482C211yesmaximal, characteristic, complemented
3#82226C211yesmaximal, characteristic, complemented
4C2×#5003C211yesmaximal, characteristic, complemented
5#71678C211yesmaximal, characteristic, complemented
6#70638C211yesmaximal, characteristic, complemented
7#70617C211yesmaximal, characteristic, complemented
8#70584C211yesmaximal, characteristic, complemented
9#70565C211yesmaximal, characteristic, complemented
10#70211C211yesmaximal, characteristic, complemented
11#70211C211yesmaximal, characteristic, complemented
12#70169C211yesmaximal, characteristic, complemented
13#70167C211yesmaximal, characteristic, complemented
14#69933C211yesmaximal, characteristic, complemented
15#69910C211yesmaximal, characteristic, complemented
16#24062—31nomaximal, Sylow
17C22×#237—21no—
18C2×C3×#121C2211yescharacteristic
19C2×C3×#117C2211yescharacteristic
20C2×#940C2211yescharacteristic
21C2×#939—21no—
22C2×D4×Dic3C2211yescharacteristic
23C2×#930C2211yescharacteristic
24C2×#926C2211yescharacteristic
25C22×C4×Dic3C2211yescharacteristic
26#5596—24no—
27#5596—24no—
28C2×#893C2211yescharacteristic
29C2×#888C2211yescharacteristic
30C2×#885—21no—
31C2×#67⋊C4—21no—
32C3×#482—24no—
33C2×C3×#107C2211yescharacteristic
34C2×C3×#106C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×C22⋊C8C2211yescharacteristic
38C2×#832C2211yescharacteristic
39C2×#832C2211yescharacteristic
40C2×#830C2211yescharacteristic
41C2×#821C2211yescharacteristic
42C2×#821C2211yescharacteristic
43#5003—24no—
44#4972C2211yescharacteristic
45#4972C2211yescharacteristic
46#4972C2211yescharacteristic
47#4972C2211yescharacteristic
48C2×#809C2211yescharacteristic
49C2×#809C2211yescharacteristic
50C2×#808C2211yescharacteristic
51C2×#807C2211yescharacteristic
52#4946—21no—
53#4946—21no—
54C4×Dic3⋊C4—21no—
55C4×Dic3⋊C4—21no—
56#4551C2211yescharacteristic
57#4551C2211yescharacteristic
58#4550C2211yescharacteristic
59#4550C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64C2×#532—31no—
65C2×#482—31no—
66C2×#482D311yescharacteristic, complemented
67#2296—31no—
68#2058—31no—
69#2057—31no—
70#2041—31no—
71#2041—31no—
72#1875—31no—
73#1875—31no—
74#1864—31no—
75#1864—31no—
76#1862—31no—
77#1862—31no—
78#1817—31no—
79C22×C3×D4—21no—
80C22×C3×D4C2311yescharacteristic
81C23×C3×C4C2311yescharacteristic
82C22×#67—21no—
83C22×#67—21no—
84C22×#67—21no—
85C23×Dic3—21no—
86C23×Dic3D411yescharacteristic
87C23×Dic3D411yescharacteristic
88C2×#237—28no—
89C2×#237—44no—
90C2×#237—44no—
91C22×D12C2311yescharacteristic
92C22×C4×D3—21no—
93C22×Dic6—21no—
94C22×C3×C8C2311yescharacteristic
95C22×C3×C8C2311yescharacteristic
96C3×#121—22no—
97C3×#121D414yes—
98C3×#117—22no—
99C3×#117—22no—
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C22⋊C4—21no—
104C2×C3×C22⋊C4—21no—
105C2×C3×C42—21no—
106C2×#217—21no—
107C2×#217—21no—
108#940—22no—
109#940—22no—
110#939—28no—
111D4×Dic3—22no—
112D4×Dic3—22no—
113#930—22no—
114#930D414yes—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117#926—22no—
118#926—22no—
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×Dic3⋊C4—21no—
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4—21no—
127C2×C4×Dic3—21no—
128C2×C4×Dic3—22no—
129C2×C4×Dic3—22no—
130C2×C4×Dic3D411yescharacteristic
131C2×C4×Dic3D411yescharacteristic
132C2×C4×Dic3C2311yescharacteristic
133C2×C4×Dic3C2311yescharacteristic
134C22×C3⋊C8C2311yescharacteristic
135C22×C3⋊C8C2311yescharacteristic
136#893—22no—
137#893—22no—
138#888—22no—
139#888—22no—
140#885—28no—
141#67⋊C4—28no—
142C3×#107—22no—
143C3×#106—22no—
144C3×#102—22no—
145C3×#102—22no—
146C3×C22⋊C8—22no—
147#832—22no—
148#832—22no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152C3⋊#95—21no—
153#830—22no—
154#821—22no—
155#821—22no—
156#809—22no—
157#809—22no—
158#808—22no—
159#807—22no—
160C22×#41—61no—
161#532—64no—
162#532—64no—
163C2×C4⋊Q8—31no—
164C2×#127—31no—
165C2×#124—61no—
166C2×#121—31no—
167C2×#121—61no—
168C2×#121C2×D311yescharacteristic
169C2×C4×D4—31no—
170C2×C4×D4—31no—
171C2×C4×D4—61no—
172C2×#117—31no—
173C2×#117C2×D311yescharacteristic
174C22×C42—31no—
175#482—24no—
176#482—64no—
177C2×#107—31no—
178C2×#107C2×D311yescharacteristic
179C2×#106—31no—
180C2×#106C2×D311yescharacteristic
181C2×#102—31no—
182C2×#102—31no—
183C2×#102—31no—
184C2×#102—31no—
185C2×#102—31no—
186C2×#102—31no—
187C2×#102C2×D311yescharacteristic
188C2×#102C2×D311yescharacteristic
189C2×C22⋊C8—31no—
190C2×C22⋊C8C2×D311yescharacteristic
191#389—31no—
192#389—31no—
193#389—31no—
194#389—31no—
195#385—61no—
196#385—61no—
197C4×C4⋊C4—61no—
198C4×C4⋊C4—61no—
199#340—31no—
200#340—31no—
201#340—31no—
202#340—31no—
203#336—31no—
204#336—31no—
205#336—31no—
206#336—31no—
207C24×C3—21no—
208C24×C3C2×D411yescharacteristic
209C23×D3—21no—
210C2×C3×D4—24no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4—21no—
216C2×C3×D4—42no—
217C2×C3×D4—42no—
218C2×C3×D4C2×D412yes—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D412yes—
228C22×C3×C4C2×D412yes—
229C22×C3×C4C2411yescharacteristic
230C2×#67—24no—
231C2×#67—24no—
232C2×#67—24no—
233C2×#67—42no—
234C2×#67—42no—
235C2×#67—42no—
236C2×#67—42no—
237C2×#67—42no—
238C2×#67—42no—
239C22×Dic3—22no—
240C22×Dic3—22no—
241C22×Dic3—22no—
242C22×Dic3—24no—
243C22×Dic3—22no—
244C22×Dic3—21no—
245C22×Dic3—21no—
246C22×Dic3—21no—
247C22×Dic3—22no—
248C22×Dic3—41no—
249C22×Dic3—42no—
250C22×Dic3—42no—
251C22×Dic3C2×D411yescharacteristic
252C22×Dic3C2×D411yescharacteristic
253C22×Dic3C2×D411yescharacteristic
254C22×Dic3C2×D411yescharacteristic
255#237—432no—
256C2×D12—21no—
257C2×D12—21no—
258C2×D12—21no—
259C2×D12—21no—
260C2×D12—21no—
261C2×D12C2×D412yes—
262C2×C4×D3—24no—
263C2×C4×D3—42no—
264C2×C4×D3—42no—
265C2×Dic6—24no—
266C2×Dic6—42no—
267C2×Dic6—42no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—21no—
272C2×C3×C8—21no—
273C2×C3×C8—21no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—21no—
279C3×C4⋊C4C2×D412yes—
280C3×C22⋊C4—24no—
281C3×C22⋊C4—42no—
282C3×C42—42no—
283#217—24no—
284#217—24no—
285(C2×D3)⋊C4—24no—
286(C2×D3)⋊C4—24no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3C2×D412yes—
291C4⋊Dic3#4112yescomplemented
292C4⋊Dic3#4112yescomplemented
293Dic3⋊C4—24no—
294Dic3⋊C4—42no—
295Dic3⋊C4—42no—
296Dic3⋊C4—42no—
297Dic3⋊C4—42no—
298C4×Dic3—24no—
299C4×Dic3—22no—
300C4×Dic3—22no—
301C4×Dic3—21no—
302C4×Dic3—21no—
303C4×Dic3—21no—
304C4×Dic3—21no—
305C2×C3⋊C8—21no—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—21no—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C2×#41—68no—
312C2×#41—124no—
313C2×#41—124no—
314C22×Q8—61no—
315C22×D4—21no—
316C22×D4—31no—
317C22×D4—61no—
318C22×D4—61no—
319C22×D4—61no—
320C22×D4C22×D311yescharacteristic
321C23×C4—31no—
322C23×C4—31no—
323C23×C4—61no—
324C23×C4—61no—
325C23×C4C22×D311yescharacteristic
326C22×C8—31no—
327C22×C8—31no—
328C22×C8C22×D311yescharacteristic
329C22×C8C22×D311yescharacteristic
330C4⋊Q8—62no—
331C4⋊Q8—62no—
332#127—62no—
333#127—62no—
334#124—68no—
335#121—22no—
336#121—34no—
337#121—68no—
338#121—62no—
339#121#6714yes—
340C4×D4—68no—
341C4×D4—62no—
342C4×D4—62no—
343C4×D4—62no—
344C4×D4—62no—
345#117—22no—
346#117—22no—
347#117—62no—
348#117—62no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—31no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4C22×D311yescharacteristic
358C2×C4⋊C4C22×D311yescharacteristic
359C2×C4⋊C4C22×D311yescharacteristic
360C2×C22⋊C4—21no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C42—21no—
367C2×C42—31no—
368C2×C42—31no—
369C2×C42—31no—
370C2×C42—31no—
371C2×C42—61no—
372C2×C42—62no—
373C2×C42—62no—
374#107—22no—
375#107—62no—
376#106—22no—
377#106—62no—
378#102—22no—
379#102—22no—
380#102—62no—
381#102—62no—
382#102—62no—
383#102—62no—
384#102—62no—
385#102—62no—
386C22⋊C8—22no—
387C22⋊C8—62no—
388#95—61no—
389#95—61no—
390#95—61no—
391#95—61no—
392C23×C3—21no—
393C23×C3—21no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—22no—
399C23×C3—41no—
400C23×C3—41no—
401C23×C3—41no—
402C23×C3—41no—
403C23×C3—41no—
404C23×C3—41no—
405C23×C3#12012yes—
406C23×C3C22×D411yescharacteristic
407C22×D3—22no—
408C22×D3—41no—
409C22×D3—41no—
410C22×D3—41no—
411C22×D3—41no—
412C22×D3—41no—
413C22×D3—41no—
414C3×D4—22no—
415C3×D4—22no—
416C3×D4—48no—
417C3×D4—41no—
418C3×D4—41no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—22no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4#12012yes—
435C2×C3×C4C22×D411yescharacteristic
436C2×C3×C4C22×D411yescharacteristic
437C2×C3×C4C2×#4111yescharacteristic
438C2×C3×C4C2×#4111yescharacteristic
439C2×C3×C42−1+411yescharacteristic
440C2×C3×C42−1+411yescharacteristic
441#67—48no—
442#67—48no—
443#67—48no—
444C2×Dic3—28no—
445C2×Dic3—21no—
446C2×Dic3—21no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—22no—
453C2×Dic3—22no—
454C2×Dic3—22no—
455C2×Dic3—21no—
456C2×Dic3—21no—
457C2×Dic3—44no—
458C2×Dic3—48no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3—41no—
462C2×Dic3—41no—
463C2×Dic3—41no—
464C2×Dic3—41no—
465C2×Dic3#13512yes—
466C2×Dic3AGL(1,ℤ/8)12yes—
467C2×Dic3AGL(1,ℤ/8)12yes—
468D12—22no—
469D12—22no—
470D12—41no—
471D12—41no—
472C4×D3—48no—
473Dic6—48no—
474C3×C8—41no—
475C3×C8—41no—
476C3⋊C8—41no—
477C3⋊C8—41no—
478C24—21no—
479C24—61no—
480C24D3×D411yescharacteristic
481#41—1232no—
482C2×Q8—64no—
483C2×Q8—122no—
484C2×Q8—122no—
485C2×D4—24no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—32no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—64no—
495C2×D4—64no—
496C2×D4—64no—
497C2×D4—61no—
498C2×D4—61no—
499C2×D4—61no—
500C2×D4—61no—
501C2×D4—61no—
502C2×D4—122no—
503C2×D4—122no—
504C2×D4—122no—
505C2×D4—122no—
506C2×D4—122no—
507C2×D4—122no—
508C2×D4C2×#6712yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—31no—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—64no—
521C22×C4—62no—
522C22×C4—62no—
523C22×C4—62no—
524C22×C4—62no—
525C22×C4—64no—
526C22×C4—62no—
527C22×C4—61no—
528C22×C4—61no—
529C22×C4—61no—
530C22×C4—122no—
531C22×C4—122no—
532C22×C4—122no—
533C22×C4—121no—
534C22×C4—122no—
535C22×C4D3×D411yescharacteristic
536C22×C4D3×D412yes—
537C22×C4C2×#6712yes—
538C22×C4C23×D311yescharacteristic
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—61no—
546C2×C8—61no—
547C2×C8—61no—
548C2×C8—61no—
549C2×C8—61no—
550C2×C8—61no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—32no—
557C4⋊C4—32no—
558C4⋊C4—32no—
559C4⋊C4—64no—
560C4⋊C4—61no—
561C4⋊C4—61no—
562C4⋊C4—61no—
563C4⋊C4—122no—
564C4⋊C4—122no—
565C4⋊C4—122no—
566C4⋊C4—122no—
567C4⋊C4C2×#6712yes—
568C22⋊C4—24no—
569C22⋊C4—42no—
570C22⋊C4—64no—
571C22⋊C4—64no—
572C22⋊C4—64no—
573C22⋊C4—64no—
574C42—42no—
575C42—64no—
576C42—62no—
577C42—62no—
578C42—61no—
579C42—61no—
580C42—61no—
581C42—61no—
582C22×C3—22no—
583C22×C3—22no—
584C22×C3—22no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—41no—
588C22×C3—41no—
589C22×C3—42no—
590C22×C3—42no—
591C22×C3—42no—
592C22×C3—81no—
593C22×C3—81no—
594C22×C3—81no—
595C22×C3—81no—
596C22×C3C2×#12011yescharacteristic
597C22×C3#52511yescharacteristic
598C22×C3#53611yescharacteristic
599C22×C3C2×#13511yescharacteristic
600C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
601C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
602C22×C3#57511yescharacteristic
603C2×D3—42no—
604C2×D3—42no—
605C2×D3—42no—
606C2×D3—81no—
607C2×D3—81no—
608C2×D3—81no—
609C2×D3—81no—
610C3×C4—22no—
611C3×C4—42no—
612C3×C4—81no—
613C3×C4—81no—
614C3×C4#54711yescharacteristic
615C3×C4#54711yescharacteristic
616C3×C4#54711yescharacteristic
617C3×C4#54711yescharacteristic
618Dic3—22no—
619Dic3—22no—
620Dic3—22no—
621Dic3—42no—
622Dic3—42no—
623Dic3—41no—
624Dic3—42no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—22no—
632C23—41no—
633C23—41no—
634C23—41no—
635C23—41no—
636C23—41no—
637C23—41no—
638C23—62no—
639C23—121no—
640C23—121no—
641C23—121no—
642C23—121no—
643C23—121no—
644C23—121no—
645C23#93712yes—
646C23C2×D3×D411yescharacteristic
647Q8—128no—
648D4—22no—
649D4—22no—
650D4—48no—
651D4—41no—
652D4—41no—
653D4—62no—
654D4—62no—
655D4—128no—
656D4—128no—
657D4—128no—
658D4—121no—
659D4—121no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—32no—
668C2×C4—32no—
669C2×C4—32no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—68no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—62no—
686C2×C4—62no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—62no—
691C2×C4—128no—
692C2×C4—124no—
693C2×C4—128no—
694C2×C4—121no—
695C2×C4—121no—
696C2×C4—121no—
697C2×C4—121no—
698C2×C4—121no—
699C2×C4—121no—
700C2×C4#93712yes—
701C2×C4C2×D3×D411yescharacteristic
702C2×C4D3×#4111yescharacteristic
703C2×C4D3×#4111yescharacteristic
704C2×C4#101011yescharacteristic
705C2×C4#101011yescharacteristic
706C2×C4C22×#6711yescharacteristic
707C8—41no—
708C8—41no—
709C8—121no—
710C8—121no—
711C2×C3—42no—
712C2×C3—82no—
713C2×C3#240611yescharacteristic
714C2×C3#300211yescharacteristic
715C2×C3#300311yescharacteristic
716C2×C3#310611yescharacteristic
717C2×C3#311511yescharacteristic
718C2×C3#322811yescharacteristic
719C2×C3#323511yescharacteristic
720D3—82no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—81no—
732C22—81no—
733C22—81no—
734C22—81no—
735C22—122no—
736C22—122no—
737C22—122no—
738C22—241no—
739C22—241no—
740C22—241no—
741C22—241no—
742C22#564811yescharacteristic
743C22#565611yescharacteristic
744C22D3×#13511yescharacteristic
745C22#576811yescharacteristic
746C22D3×AGL(1,ℤ/8)11yescharacteristic
747C22D3×AGL(1,ℤ/8)11yescharacteristic
748C22C2×#93711yescharacteristic
749C4—22no—
750C4—42no—
751C4—62no—
752C4—62no—
753C4—62no—
754C4—81no—
755C4—81no—
756C4—122no—
757C4—122no—
758C4—121no—
759C4—122no—
760C4#565511yescharacteristic
761C4#565511yescharacteristic
762C4#582411yescharacteristic
763C4#582411yescharacteristic
764C3#2406211yescharacteristic, complemented, Sylow
765C2—42no—
766C2—82no—
767C2—242no—
768C2#8134911yescharacteristic
769C2#8135111yescharacteristic
770C2#8135611yescharacteristic
771C2#8135811yescharacteristic
772C2#8284111yescharacteristic
773C2#8391111yescharacteristic
774C2#8394411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#482C2
socleC23×C3C22×D4
prime radicalC2×#5596C2
hypercenterC2×#482D3
hypocenterC3#24062
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#482

Complements

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

NH ≅ G/Ntype
2. C2×C3×#482C2semidirect
3. #82226C2semidirect
4. C2×#5003C2semidirect
5. #71678C2semidirect
6. #70638C2semidirect
7. #70617C2semidirect
8. #70584C2semidirect
9. #70565C2semidirect
10. #70211C2semidirect
11. #70211C2semidirect
12. #70169C2semidirect
13. #70167C2semidirect
14. #69933C2semidirect
15. #69910C2semidirect
66. C2×#482D3semidirect
291. C4⋊Dic3#41semidirect
292. C4⋊Dic3#41semidirect
764. C3#24062semidirect

Maximal subgroups

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

subgroupindex
C2×#55962
C2×C3×#4822
#822262
C2×#50032
#716782
#706382
#706172
#705842
#705652
#702112
#701692
#701672
#699332
#699102
#240623