Finite Group Databasebeta

← #10731935

Subgroups — #10731935

Order 768.

1922 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#399C211yesmaximal, characteristic, complemented
2C2×#4993C211yesmaximal, characteristic, complemented
3C2×#4976C212yesmaximal, complemented
4C2×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
5C2×#4957C212yesmaximal
6C2×#4957C211yesmaximal, characteristic
7#71570C212yesmaximal, complemented
8#71547C212yesmaximal, complemented
9#71546C211yesmaximal, characteristic, complemented
10#69427C211yesmaximal, characteristic, complemented
11Dic3⋊#95C211yesmaximal, characteristic, complemented
12#15148—31nomaximal, Sylow
13C23×#67C2211yescharacteristic
14C22×C3×C4⋊C4C2212yes—
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C22⋊C4C2211yescharacteristic
17C22×C3×C22⋊C4C2212yes—
18C22×#217C2212yes—
19C22×#217C2211yescharacteristic
20C22×(C2×D3)⋊C4C2211yescharacteristic
21C22×(C2×D3)⋊C4C2212yes—
22C22×(C2×D3)⋊C4C2212yes—
23C22×(C2×D3)⋊C4C2211yescharacteristic
24C22×C4⋊Dic3C2211yescharacteristic
25C22×Dic3⋊C4C2211yescharacteristic
26C22×Dic3⋊C4C2212yes—
27C22×Dic3⋊C4C2212yes—
28C22×C4×Dic3C2212yes—
29C22×C4×Dic3C2211yescharacteristic
30C3×#399—24no—
31C2×C3×#95C2211yescharacteristic
32C2×C3⋊#95C2211yescharacteristic
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2212yes—
36C2×C3⋊#95C2212yes—
37#4993—24no—
38#4976—28no—
39Dic3×C4⋊C4—24no—
40#4957—28no—
41#4957—24no—
42C2×#399—31no—
43C2×#399D311yescharacteristic, complemented
44C2×#390—31no—
45C2×#390—32no—
46C2×#389—32no—
47C2×C4×C4⋊C4—31no—
48#1439—31no—
49#1439—32no—
50#1439—31no—
51#1439—32no—
52C4⋊#95—31no—
53C25×C3C2311yescharacteristic
54C24×D3C2311yescharacteristic
55C23×C3×C4C2311yescharacteristic
56C23×C3×C4C2312yes—
57C23×C3×C4C2312yes—
58C23×C3×C4C2311yescharacteristic
59C22×#67—22no—
60C22×#67—24no—
61C22×#67—24no—
62C22×#67—22no—
63C22×#67Q814yes—
64C23×Dic3C2311yescharacteristic
65C23×Dic3C2311yescharacteristic
66C23×Dic3C2312yes—
67C23×Dic3C2312yes—
68C23×Dic3C2311yescharacteristic
69C2×C3×C4⋊C4—22no—
70C2×C3×C4⋊C4—22no—
71C2×C3×C4⋊C4—24no—
72C2×C3×C4⋊C4—24no—
73C2×C3×C4⋊C4—42no—
74C2×C3×C4⋊C4D414yescomplemented
75C2×C3×C22⋊C4—24no—
76C2×C3×C22⋊C4—22no—
77C2×C3×C22⋊C4—24no—
78C2×C3×C22⋊C4—22no—
79C2×C3×C22⋊C4—22no—
80C2×C3×C22⋊C4—42no—
81C2×#217—24no—
82C2×#217—22no—
83C2×#217—24no—
84C2×#217—42no—
85C2×#217—42no—
86C2×(C2×D3)⋊C4—24no—
87C2×(C2×D3)⋊C4—22no—
88C2×(C2×D3)⋊C4—24no—
89C2×(C2×D3)⋊C4—22no—
90C2×(C2×D3)⋊C4—22no—
91C2×(C2×D3)⋊C4—24no—
92C2×(C2×D3)⋊C4—22no—
93C2×(C2×D3)⋊C4—24no—
94C2×(C2×D3)⋊C4—42no—
95C2×(C2×D3)⋊C4—42no—
96C2×(C2×D3)⋊C4—42no—
97C2×C4⋊Dic3—22no—
98C2×C4⋊Dic3—24no—
99C2×Dic3⋊C4—24no—
100C2×Dic3⋊C4—24no—
101C2×Dic3⋊C4—24no—
102C2×Dic3⋊C4—22no—
103C2×Dic3⋊C4—24no—
104C2×Dic3⋊C4—24no—
105C2×Dic3⋊C4—42no—
106C2×Dic3⋊C4D418yes—
107C2×C4×Dic3—24no—
108C2×C4×Dic3—24no—
109C2×C4×Dic3—24no—
110C2×C4×Dic3—24no—
111C2×C4×Dic3D414yes—
112C3×#95—22no—
113C3⋊#95—24no—
114C3⋊#95—22no—
115C3⋊#95—24no—
116C3⋊#95—24no—
117C3⋊#95—42no—
118C23×D4—31no—
119C22×C4⋊C4—32no—
120C22×C4⋊C4—31no—
121C22×C4⋊C4—31no—
122C22×C4⋊C4—32no—
123C22×C4⋊C4C2×D312yes—
124C22×C4⋊C4C2×D311yescharacteristic
125C22×C22⋊C4—31no—
126C22×C22⋊C4—32no—
127C22×C22⋊C4—32no—
128C22×C22⋊C4—32no—
129C22×C22⋊C4—31no—
130C22×C22⋊C4—31no—
131C22×C22⋊C4C2×D311yescharacteristic
132C22×C22⋊C4C2×D312yes—
133C22×C42—31no—
134C22×C42—32no—
135#399—24no—
136#399—64no—
137#390—64no—
138#390—68no—
139#389—68no—
140C4×C4⋊C4—64no—
141C2×#95—31no—
142C2×#95—32no—
143C2×#95—32no—
144C2×#95—32no—
145C2×#95—32no—
146C2×#95C2×D311yescharacteristic
147C24×C3—21no—
148C24×C3—22no—
149C24×C3—21no—
150C24×C3—22no—
151C24×C3—21no—
152C24×C3—22no—
153C24×C3—21no—
154C24×C3—21no—
155C24×C3—22no—
156C24×C3—21no—
157C24×C3C2×Q812yes—
158C24×C3C2411yescharacteristic
159C23×D3—21no—
160C23×D3—21no—
161C23×D3—22no—
162C23×D3—21no—
163C23×D3—22no—
164C23×D3—22no—
165C23×D3—21no—
166C23×D3—22no—
167C23×D3—21no—
168C23×D3—21no—
169C23×D3C2×Q812yes—
170C22×C3×C4—22no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4—22no—
185C22×C3×C4—21no—
186C22×C3×C4—21no—
187C22×C3×C4—21no—
188C22×C3×C4—22no—
189C22×C3×C4C2×D414yes—
190C22×C3×C4C2×D412yes—
191C22×C3×C4C2×D414yes—
192C22×C3×C4C2×D412yes—
193C22×C3×C4#4112yes—
194C2×#67—28no—
195C2×#67—216no—
196C2×#67—44no—
197C2×#67—48no—
198C2×#67—44no—
199C22×Dic3—22no—
200C22×Dic3—22no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—22no—
208C22×Dic3—21no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—21no—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3—21no—
217C22×Dic3—21no—
218C22×Dic3—21no—
219C22×Dic3—22no—
220C22×Dic3C2×D412yes—
221C22×Dic3C2×D414yes—
222C22×Dic3C2×D412yes—
223C22×Dic3C2×D414yes—
224C22×Dic3C2×Q812yes—
225C22×Dic3#4114yes—
226C22×Dic3#4114yes—
227C22×Dic3#4112yes—
228C3×C4⋊C4—28no—
229C3×C4⋊C4—48no—
230C3×C22⋊C4—48no—
231C3×C22⋊C4—44no—
232#217—48no—
233#217—44no—
234(C2×D3)⋊C4—48no—
235(C2×D3)⋊C4—48no—
236(C2×D3)⋊C4—44no—
237(C2×D3)⋊C4—44no—
238C4⋊Dic3—28no—
239Dic3⋊C4—216no—
240Dic3⋊C4—48no—
241Dic3⋊C4—44no—
242C4×Dic3—28no—
243C4×Dic3—48no—
244C25—31no—
245C25C22×D311yescharacteristic
246C22×D4—34no—
247C22×D4—62no—
248C22×D4—64no—
249C22×D4—64no—
250C22×D4—62no—
251C23×C4—31no—
252C23×C4—32no—
253C23×C4—32no—
254C23×C4—31no—
255C23×C4—31no—
256C23×C4C22×D311yescharacteristic
257C23×C4C22×D312yes—
258C23×C4C22×D312yes—
259C23×C4C22×D311yescharacteristic
260C2×C4⋊C4—22no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—38no—
265C2×C4⋊C4—42no—
266C2×C4⋊C4—64no—
267C2×C4⋊C4—64no—
268C2×C4⋊C4—64no—
269C2×C4⋊C4—62no—
270C2×C4⋊C4—64no—
271C2×C4⋊C4—64no—
272C2×C4⋊C4—62no—
273C2×C4⋊C4—64no—
274C2×C4⋊C4—122no—
275C2×C4⋊C4#6714yescomplemented
276C2×C22⋊C4—24no—
277C2×C22⋊C4—22no—
278C2×C22⋊C4—22no—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—22no—
281C2×C22⋊C4—42no—
282C2×C22⋊C4—64no—
283C2×C22⋊C4—62no—
284C2×C22⋊C4—64no—
285C2×C22⋊C4—64no—
286C2×C22⋊C4—62no—
287C2×C22⋊C4—64no—
288C2×C22⋊C4—64no—
289C2×C22⋊C4—62no—
290C2×C22⋊C4—62no—
291C2×C22⋊C4—64no—
292C2×C22⋊C4—62no—
293C2×C22⋊C4—122no—
294C2×C22⋊C4—122no—
295C2×C22⋊C4—122no—
296C2×C22⋊C4—122no—
297C2×C22⋊C4—122no—
298C2×C42—34no—
299C2×C42—64no—
300C2×C42—64no—
301C2×C42—64no—
302C2×C42—64no—
303#95—22no—
304#95—64no—
305#95—64no—
306#95—64no—
307#95—62no—
308#95—122no—
309C23×C3—22no—
310C23×C3—24no—
311C23×C3—22no—
312C23×C3—22no—
313C23×C3—24no—
314C23×C3—41no—
315C23×C3—41no—
316C23×C3—42no—
317C23×C3—41no—
318C23×C3—42no—
319C23×C3—41no—
320C23×C3—42no—
321C23×C3—41no—
322C23×C3—41no—
323C23×C3—42no—
324C23×C3—42no—
325C23×C3—42no—
326C23×C3—42no—
327C23×C3—42no—
328C23×C3—42no—
329C23×C3—41no—
330C23×C3—41no—
331C23×C3—42no—
332C23×C3C22×D411yescharacteristic
333C23×C3C22×D412yes—
334C23×C3C22×D411yescharacteristic
335C23×C3C22×Q811yescharacteristic
336C23×C3C2×#4111yescharacteristic
337C23×C3C2×#4112yes—
338C23×C3C2×#4111yescharacteristic
339C23×C3C2×#4112yes—
340C23×C3H(5,𝔽2)12yes—
341C23×C3H(5,𝔽2)11yescharacteristic
342C23×C32−1+411yescharacteristic
343C22×D3—22no—
344C22×D3—24no—
345C22×D3—22no—
346C22×D3—22no—
347C22×D3—24no—
348C22×D3—41no—
349C22×D3—41no—
350C22×D3—42no—
351C22×D3—41no—
352C22×D3—42no—
353C22×D3—41no—
354C22×D3—42no—
355C22×D3—41no—
356C22×D3—41no—
357C22×D3—42no—
358C22×D3—42no—
359C22×D3—42no—
360C22×D3—42no—
361C22×D3—42no—
362C22×D3—42no—
363C22×D3—41no—
364C22×D3—41no—
365C22×D3—42no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—24no—
369C2×C3×C4—24no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—24no—
373C2×C3×C4—24no—
374C2×C3×C4—24no—
375C2×C3×C4—24no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4#12114yes—
390#67—416no—
391C2×Dic3—22no—
392C2×Dic3—24no—
393C2×Dic3—24no—
394C2×Dic3—22no—
395C2×Dic3—22no—
396C2×Dic3—24no—
397C2×Dic3—24no—
398C2×Dic3—24no—
399C2×Dic3—24no—
400C2×Dic3—42no—
401C2×Dic3—42no—
402C2×Dic3—42no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—42no—
407C2×Dic3—42no—
408C2×Dic3—42no—
409C2×Dic3—42no—
410C2×Dic3—41no—
411C2×Dic3—41no—
412C2×Dic3—41no—
413C2×Dic3—42no—
414C2×Dic3—42no—
415C2×Dic3C22⋊Q814yes—
416C2×Dic3C22⋊Q818yes—
417C2×Dic3#12314yes—
418C2×Dic3#12318yes—
419C2×Dic3#12714yes—
420C24—22no—
421C24—21no—
422C24—21no—
423C24—22no—
424C24—21no—
425C24—22no—
426C24—22no—
427C24—21no—
428C24—21no—
429C24—21no—
430C24—32no—
431C24—62no—
432C24—61no—
433C24—61no—
434C24—62no—
435C24—61no—
436C24—62no—
437C24—62no—
438C24—61no—
439C24—61no—
440C24—61no—
441C24D3×Q812yes—
442C24C23×D311yescharacteristic
443C2×D4—616no—
444C2×D4—68no—
445C2×D4—124no—
446C2×D4—128no—
447C2×D4—124no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—32no—
468C22×C4—34no—
469C22×C4—32no—
470C22×C4—34no—
471C22×C4—32no—
472C22×C4—32no—
473C22×C4—34no—
474C22×C4—34no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—61no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—61no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—62no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—62no—
495C22×C4—61no—
496C22×C4D3×D414yes—
497C22×C4D3×D412yes—
498C22×C4#23712yes—
499C22×C4C2×#6714yes—
500C22×C4C2×#6712yes—
501C4⋊C4—28no—
502C4⋊C4—48no—
503C4⋊C4—616no—
504C4⋊C4—68no—
505C4⋊C4—128no—
506C4⋊C4—124no—
507C22⋊C4—48no—
508C22⋊C4—44no—
509C22⋊C4—128no—
510C22⋊C4—128no—
511C22⋊C4—124no—
512C22⋊C4—128no—
513C22⋊C4—124no—
514C22⋊C4—124no—
515C42—68no—
516C42—128no—
517C22×C3—42no—
518C22×C3—42no—
519C22×C3—44no—
520C22×C3—44no—
521C22×C3—42no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—82no—
525C22×C3—82no—
526C22×C3—81no—
527C22×C3—81no—
528C22×C3C2×#12111yescharacteristic
529C22×C3C2×C22⋊Q811yescharacteristic
530C22×C3C2×C22⋊Q812yes—
531C22×C3C2×#12311yescharacteristic
532C22×C3C2×#12312yes—
533C22×C3#52511yescharacteristic
534C22×C3#52912yes—
535C22×C3C2×#12711yescharacteristic
536C22×C3#53212yes—
537C22×C3#53511yescharacteristic
538C22×C3#53711yescharacteristic
539C22×C3#54012yes—
540C22×C3#54212yes—
541C22×C3D4212yes—
542C22×C3#54612yes—
543C22×C3#54812yes—
544C22×C3D4×Q811yescharacteristic
545C22×C3#55012yes—
546C22×C3#55011yescharacteristic
547C22×C3#55411yescharacteristic
548C22×C3#55412yes—
549C22×C3#55611yescharacteristic
550C22×C3#55912yes—
551C2×D3—42no—
552C2×D3—42no—
553C2×D3—44no—
554C2×D3—44no—
555C2×D3—42no—
556C2×D3—81no—
557C2×D3—81no—
558C2×D3—82no—
559C2×D3—82no—
560C2×D3—81no—
561C2×D3—81no—
562C3×C4—24no—
563C3×C4—44no—
564C3×C4—44no—
565C3×C4—81no—
566Dic3—42no—
567Dic3—44no—
568Dic3—44no—
569Dic3—81no—
570Dic3#39918yescomplemented
571C23—22no—
572C23—24no—
573C23—22no—
574C23—24no—
575C23—22no—
576C23—42no—
577C23—42no—
578C23—41no—
579C23—42no—
580C23—42no—
581C23—41no—
582C23—42no—
583C23—41no—
584C23—42no—
585C23—42no—
586C23—41no—
587C23—41no—
588C23—42no—
589C23—42no—
590C23—41no—
591C23—42no—
592C23—41no—
593C23—41no—
594C23—62no—
595C23—64no—
596C23—62no—
597C23—64no—
598C23—62no—
599C23—122no—
600C23—122no—
601C23—121no—
602C23—122no—
603C23—122no—
604C23—121no—
605C23—122no—
606C23—121no—
607C23—122no—
608C23—122no—
609C23—121no—
610C23—121no—
611C23—122no—
612C23—122no—
613C23—121no—
614C23—122no—
615C23—121no—
616C23—121no—
617C23C2×D3×D412yes—
618C23C2×D3×D411yescharacteristic
619C23C2×#23711yescharacteristic
620C23#100412yes—
621C23C2×D3×Q811yescharacteristic
622C23#100711yescharacteristic
623C23D3×#4112yes—
624C23D3×#4112yes—
625C23D3×#4111yescharacteristic
626C23#100911yescharacteristic
627C23C22×#6711yescharacteristic
628D4—1216no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—34no—
640C2×C4—38no—
641C2×C4—34no—
642C2×C4—38no—
643C2×C4—34no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—64no—
658C2×C4—62no—
659C2×C4—64no—
660C2×C4—64no—
661C2×C4—64no—
662C2×C4—64no—
663C2×C4—62no—
664C2×C4—64no—
665C2×C4—62no—
666C2×C4—122no—
667C2×C4—122no—
668C2×C4—122no—
669C2×C4—122no—
670C2×C4—122no—
671C2×C4—122no—
672C2×C4—122no—
673C2×C4—122no—
674C2×C4—122no—
675C2×C4—122no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—122no—
679C2×C4—122no—
680C2×C4—121no—
681C2×C4#93914yes—
682C2×C3—82no—
683C2×C3C2×#39911yescharacteristic
684C2×C3#244512yes—
685C2×C3#244812yes—
686C2×C3#245212yes—
687C2×C3#245412yes—
688C2×C3#253811yescharacteristic
689C2×C3#254011yescharacteristic
690C2×C3#254111yescharacteristic
691C2×C3#258011yescharacteristic
692C2×C3#262411yescharacteristic
693C2×C3#285411yescharacteristic
694D3—82no—
695C22—42no—
696C22—44no—
697C22—42no—
698C22—44no—
699C22—42no—
700C22—82no—
701C22—82no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—122no—
707C22—124no—
708C22—122no—
709C22—124no—
710C22—122no—
711C22—242no—
712C22—242no—
713C22—241no—
714C22—241no—
715C22—241no—
716C22—241no—
717C22D3×C22⋊Q812yes—
718C22D3×C22⋊Q811yescharacteristic
719C22#562911yescharacteristic
720C22#563312yes—
721C22#563511yescharacteristic
722C22#563612yes—
723C22#564012yes—
724C22#564111yescharacteristic
725C22#564912yes—
726C22D3×#12312yes—
727C22D3×#12311yescharacteristic
728C22#565412yes—
729C22#565611yescharacteristic
730C22#566312yes—
731C22#566412yes—
732C22D3×#12711yescharacteristic
733C22#571511yescharacteristic
734C22#571812yes—
735C22D4×#6712yes—
736C22C2×#93911yescharacteristic
737C22Q8×#6711yescharacteristic
738C22#583212yes—
739C22#583411yescharacteristic
740C4—24no—
741C4—38no—
742C4—44no—
743C4—44no—
744C4—81no—
745C4—124no—
746C4—124no—
747C4—122no—
748C4—241no—
749C3#1514811yescharacteristic, complemented, Sylow
750C2—82no—
751C2—242no—
752C2#7802212yes—
753C2#7802312yes—
754C2#7803611yescharacteristic
755C2#7804111yescharacteristic
756C2#7804811yescharacteristic
757C2D3×#39911yescharacteristic
758C2#8276612yes—
759C2#8277811yescharacteristic
760C2#8284912yes—
761C2#8289111yescharacteristic
762C2#8317711yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC2×C3×#399C2
prime radicalC23×#67C22
hypercenterC2×#399D3
hypocenterC3#15148
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#399

Complements

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

NH ≅ G/Ntype
1. C2×C3×#399C2semidirect
2. C2×#4993C2semidirect
3. C2×#4976C2semidirect
4. C2×Dic3×C4⋊C4C2semidirect
7. #71570C2semidirect
8. #71547C2semidirect
9. #71546C2semidirect
10. #69427C2semidirect
11. Dic3⋊#95C2semidirect
43. C2×#399D3semidirect
74. C2×C3×C4⋊C4D4semidirect
275. C2×C4⋊C4#67semidirect
570. Dic3#399semidirect
749. C3#15148semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#3992
C2×#49932
C2×#49762
C2×Dic3×C4⋊C42
C2×#49572
#715702
#715472
#715462
#694272
Dic3⋊#952
#151483