Finite Group Databasebeta

← #10732000

Subgroups — #10732000

Order 768.

2146 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#887C211yesmaximal, characteristic, complemented
2C2×#4947C211yesmaximal, characteristic, complemented
3C2×#4957C212yesmaximal
4C2×#4957C211yesmaximal, characteristic
5C2×#4673C211yesmaximal, characteristic, complemented
6C3×#1439C211yesmaximal, characteristic, complemented
7#71570C211yesmaximal, characteristic, complemented
8#71547C212yesmaximal, complemented
9#69428C212yesmaximal, complemented
10Dic3⋊#95C212yesmaximal, complemented
11Dic3⋊#95C211yesmaximal, characteristic, complemented
12#15157—31nomaximal, Sylow
13C23×#67C2211yescharacteristic
14C23×Dic6C2211yescharacteristic
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C22⋊C4C2211yescharacteristic
17C22×C3×C22⋊C4C2212yes—
18C22×#217C2212yes—
19C22×#217C2211yescharacteristic
20C22×(C2×D3)⋊C4C2212yes—
21C22×(C2×D3)⋊C4C2211yescharacteristic
22C22×(C2×D3)⋊C4C2211yescharacteristic
23C22×(C2×D3)⋊C4C2212yes—
24C22×Dic3⋊C4C2211yescharacteristic
25C22×Dic3⋊C4C2212yes—
26C22×Dic3⋊C4C2212yes—
27C22×C4×Dic3C2211yescharacteristic
28C22×C4×Dic3C2212yes—
29C2×#887—28no—
30C2×#887—24no—
31C2×C3×#95C2211yescharacteristic
32C2×C3×#95C2212yes—
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2211yescharacteristic
36C2×C3⋊#95C2212yes—
37C2×C3⋊#95C2212yes—
38#4957—24no—
39#4957—28no—
40#4947—24no—
41#4673—24no—
42C22×C4×Q8—31no—
43C2×#393—31no—
44C2×#393—31no—
45C2×#390—32no—
46C2×#390—31no—
47#1439—32no—
48#1439—31no—
49#1439—32no—
50#1439D311yescharacteristic, complemented
51C4⋊#95—32no—
52C4⋊#95—31no—
53C25×C3C2311yescharacteristic
54C24×D3C2311yescharacteristic
55C23×C3×C4C2311yescharacteristic
56C23×C3×C4C2312yes—
57C23×C3×C4C2312yes—
58C23×C3×C4C2311yescharacteristic
59C22×#67—24no—
60C22×#67—22no—
61C22×#67—22no—
62C22×#67—24no—
63C22×#67Q814yescomplemented
64C23×Dic3C2311yescharacteristic
65C23×Dic3C2312yes—
66C23×Dic3C2311yescharacteristic
67C23×Dic3C2312yes—
68C23×Dic3C2311yescharacteristic
69C22×Dic6—22no—
70C22×Dic6—22no—
71C22×Dic6—24no—
72C22×Dic6—24no—
73C22×Dic6D414yescomplemented
74C2×C3×C4⋊C4—24no—
75C2×C3×C4⋊C4—22no—
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×C3×C22⋊C4—42no—
82C2×#217—24no—
83C2×#217—22no—
84C2×#217—24no—
85C2×#217—24no—
86C2×#217—42no—
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—24no—
95C2×(C2×D3)⋊C4—42no—
96C2×(C2×D3)⋊C4—42no—
97C2×(C2×D3)⋊C4—42no—
98C2×Dic3⋊C4—24no—
99C2×Dic3⋊C4—24no—
100C2×Dic3⋊C4—24no—
101C2×Dic3⋊C4—22no—
102C2×Dic3⋊C4—24no—
103C2×Dic3⋊C4—24no—
104C2×Dic3⋊C4—24no—
105C2×Dic3⋊C4—24no—
106C2×C4×Dic3—24no—
107C2×C4×Dic3—24no—
108C2×C4×Dic3—24no—
109C2×C4×Dic3D414yes—
110C2×C4×Dic3D418yes—
111#887—232no—
112C3×#95—22no—
113C3×#95—42no—
114C3⋊#95—22no—
115C3⋊#95—24no—
116C3⋊#95—24no—
117C3⋊#95—42no—
118C3⋊#95—42no—
119C23×Q8—31no—
120C23×D4—31no—
121C2×C4×Q8—64no—
122C2×C4×Q8—68no—
123C22×C4⋊C4—32no—
124C22×C4⋊C4—31no—
125C22×C4⋊C4—32no—
126C22×C4⋊C4C2×D311yescharacteristic
127C22×C22⋊C4—32no—
128C22×C22⋊C4—32no—
129C22×C22⋊C4—31no—
130C22×C22⋊C4—31no—
131C22×C22⋊C4—31no—
132C22×C22⋊C4—32no—
133C22×C22⋊C4C2×D311yescharacteristic
134C22×C22⋊C4C2×D312yes—
135C22×C42—32no—
136C22×C42—31no—
137#393—64no—
138#393—64no—
139#390—68no—
140#390—64no—
141C2×#95—32no—
142C2×#95—32no—
143C2×#95—31no—
144C2×#95—32no—
145C2×#95—32no—
146C2×#95C2×D311yescharacteristic
147C2×#95C2×D312yes—
148C24×C3—21no—
149C24×C3—22no—
150C24×C3—21no—
151C24×C3—22no—
152C24×C3—21no—
153C24×C3—21no—
154C24×C3—22no—
155C24×C3—22no—
156C24×C3—21no—
157C24×C3—21no—
158C24×C3C2×Q812yes—
159C24×C3C2411yescharacteristic
160C23×D3—21no—
161C23×D3—21no—
162C23×D3—22no—
163C23×D3—21no—
164C23×D3—22no—
165C23×D3—21no—
166C23×D3—22no—
167C23×D3—22no—
168C23×D3—21no—
169C23×D3—21no—
170C23×D3C2×Q812yes—
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—21no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—21no—
183C22×C3×C4—22no—
184C22×C3×C4—22no—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
187C22×C3×C4—21no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4C2×D414yes—
192C22×C3×C4C2×D412yes—
193C22×C3×C4C2×D412yes—
194C22×C3×C4#4112yes—
195C2×#67—216no—
196C2×#67—28no—
197C2×#67—44no—
198C2×#67—44no—
199C2×#67—48no—
200C22×Dic3—22no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—21no—
206C22×Dic3—22no—
207C22×Dic3—21no—
208C22×Dic3—21no—
209C22×Dic3—22no—
210C22×Dic3—21no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—21no—
216C22×Dic3—22no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—22no—
220C22×Dic3C2×D412yes—
221C22×Dic3C2×D414yes—
222C22×Dic3C2×D414yes—
223C22×Dic3C2×D412yes—
224C22×Dic3C2×D414yes—
225C22×Dic3C2×Q812yes—
226C22×Dic3#4114yes—
227C22×Dic3#4112yes—
228C22×Dic3#4114yes—
229C2×Dic6—28no—
230C2×Dic6—216no—
231C2×Dic6—28no—
232C2×Dic6—28no—
233C2×Dic6—216no—
234C3×C4⋊C4—28no—
235C3×C22⋊C4—48no—
236C3×C22⋊C4—44no—
237#217—44no—
238#217—48no—
239(C2×D3)⋊C4—44no—
240(C2×D3)⋊C4—48no—
241(C2×D3)⋊C4—44no—
242(C2×D3)⋊C4—48no—
243Dic3⋊C4—216no—
244Dic3⋊C4—44no—
245Dic3⋊C4—48no—
246C4×Dic3—216no—
247C4×Dic3—28no—
248C25—31no—
249C25C22×D311yescharacteristic
250C22×Q8—34no—
251C22×Q8—64no—
252C22×Q8—64no—
253C22×Q8—62no—
254C22×Q8—62no—
255C22×D4—34no—
256C22×D4—62no—
257C22×D4—64no—
258C22×D4—62no—
259C22×D4—64no—
260C23×C4—31no—
261C23×C4—32no—
262C23×C4—31no—
263C23×C4—31no—
264C23×C4—32no—
265C23×C4C22×D311yescharacteristic
266C23×C4C22×D312yes—
267C23×C4C22×D312yes—
268C23×C4C22×D311yescharacteristic
269C4×Q8—632no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—64no—
273C2×C4⋊C4—64no—
274C2×C4⋊C4—64no—
275C2×C4⋊C4—62no—
276C2×C4⋊C4—64no—
277C2×C4⋊C4—64no—
278C2×C4⋊C4—64no—
279C2×C4⋊C4—64no—
280C2×C22⋊C4—22no—
281C2×C22⋊C4—24no—
282C2×C22⋊C4—22no—
283C2×C22⋊C4—22no—
284C2×C22⋊C4—42no—
285C2×C22⋊C4—42no—
286C2×C22⋊C4—64no—
287C2×C22⋊C4—62no—
288C2×C22⋊C4—64no—
289C2×C22⋊C4—64no—
290C2×C22⋊C4—64no—
291C2×C22⋊C4—62no—
292C2×C22⋊C4—64no—
293C2×C22⋊C4—64no—
294C2×C22⋊C4—62no—
295C2×C22⋊C4—64no—
296C2×C22⋊C4—62no—
297C2×C22⋊C4—62no—
298C2×C22⋊C4—122no—
299C2×C22⋊C4—122no—
300C2×C22⋊C4—122no—
301C2×C22⋊C4—122no—
302C2×C42—38no—
303C2×C42—34no—
304C2×C42—64no—
305C2×C42—64no—
306C2×C42—64no—
307#95—22no—
308#95—42no—
309#95—64no—
310#95—64no—
311#95—62no—
312#95—122no—
313#95—122no—
314C23×C3—24no—
315C23×C3—22no—
316C23×C3—22no—
317C23×C3—24no—
318C23×C3—22no—
319C23×C3—41no—
320C23×C3—42no—
321C23×C3—41no—
322C23×C3—41no—
323C23×C3—42no—
324C23×C3—41no—
325C23×C3—42no—
326C23×C3—41no—
327C23×C3—42no—
328C23×C3—42no—
329C23×C3—41no—
330C23×C3—42no—
331C23×C3—41no—
332C23×C3—42no—
333C23×C3—41no—
334C23×C3—42no—
335C23×C3—42no—
336C23×C3—42no—
337C23×C3C22×D411yescharacteristic
338C23×C3C22×D412yes—
339C23×C3C22×D411yescharacteristic
340C23×C3C22×Q811yescharacteristic
341C23×C3C2×#4111yescharacteristic
342C23×C3C2×#4112yes—
343C23×C3C2×#4111yescharacteristic
344C23×C3C2×#4112yes—
345C23×C3H(5,𝔽2)12yes—
346C23×C3H(5,𝔽2)11yescharacteristic
347C23×C32−1+411yescharacteristic
348C22×D3—24no—
349C22×D3—22no—
350C22×D3—22no—
351C22×D3—24no—
352C22×D3—22no—
353C22×D3—41no—
354C22×D3—41no—
355C22×D3—42no—
356C22×D3—41no—
357C22×D3—42no—
358C22×D3—41no—
359C22×D3—42no—
360C22×D3—41no—
361C22×D3—42no—
362C22×D3—42no—
363C22×D3—41no—
364C22×D3—42no—
365C22×D3—41no—
366C22×D3—42no—
367C22×D3—41no—
368C22×D3—42no—
369C22×D3—42no—
370C22×D3—42no—
371C2×C3×C4—22no—
372C2×C3×C4—24no—
373C2×C3×C4—22no—
374C2×C3×C4—24no—
375C2×C3×C4—24no—
376C2×C3×C4—24no—
377C2×C3×C4—24no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—42no—
386C2×C3×C4—41no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4#12114yes—
395#67—416no—
396C2×Dic3—24no—
397C2×Dic3—24no—
398C2×Dic3—24no—
399C2×Dic3—24no—
400C2×Dic3—24no—
401C2×Dic3—24no—
402C2×Dic3—22no—
403C2×Dic3—22no—
404C2×Dic3—22no—
405C2×Dic3—42no—
406C2×Dic3—42no—
407C2×Dic3—41no—
408C2×Dic3—42no—
409C2×Dic3—41no—
410C2×Dic3—42no—
411C2×Dic3—42no—
412C2×Dic3—41no—
413C2×Dic3—42no—
414C2×Dic3—42no—
415C2×Dic3—42no—
416C2×Dic3—42no—
417C2×Dic3—42no—
418C2×Dic3—42no—
419C2×Dic3#12014yes—
420C2×Dic3#12118yes—
421C2×Dic3C22⋊Q818yes—
422C2×Dic3C22⋊Q814yes—
423C2×Dic3#12414yes—
424C2×Dic3#12418yes—
425Dic6—232no—
426C24—21no—
427C24—21no—
428C24—21no—
429C24—22no—
430C24—21no—
431C24—22no—
432C24—22no—
433C24—21no—
434C24—22no—
435C24—21no—
436C24—32no—
437C24—61no—
438C24—61no—
439C24—61no—
440C24—62no—
441C24—62no—
442C24—61no—
443C24—62no—
444C24—61no—
445C24—62no—
446C24—61no—
447C24D3×Q812yes—
448C24C23×D311yescharacteristic
449C2×Q8—616no—
450C2×Q8—68no—
451C2×Q8—68no—
452C2×Q8—616no—
453C2×Q8—68no—
454C2×D4—616no—
455C2×D4—68no—
456C2×D4—124no—
457C2×D4—128no—
458C2×D4—124no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—32no—
480C22×C4—34no—
481C22×C4—32no—
482C22×C4—32no—
483C22×C4—34no—
484C22×C4—34no—
485C22×C4—34no—
486C22×C4—34no—
487C22×C4—32no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4—61no—
494C22×C4—62no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—62no—
499C22×C4—61no—
500C22×C4—62no—
501C22×C4—62no—
502C22×C4—62no—
503C22×C4—62no—
504C22×C4—62no—
505C22×C4—62no—
506C22×C4—62no—
507C22×C4—62no—
508C22×C4#23512yes—
509C22×C4D3×D414yes—
510C22×C4D3×D412yes—
511C22×C4D3×D412yes—
512C4⋊C4—28no—
513C4⋊C4—616no—
514C4⋊C4—124no—
515C4⋊C4—128no—
516C22⋊C4—48no—
517C22⋊C4—44no—
518C22⋊C4—128no—
519C22⋊C4—128no—
520C22⋊C4—128no—
521C22⋊C4—124no—
522C22⋊C4—124no—
523C22⋊C4—124no—
524C42—68no—
525C42—616no—
526C22×C3—42no—
527C22×C3—44no—
528C22×C3—42no—
529C22×C3—44no—
530C22×C3—42no—
531C22×C3—81no—
532C22×C3—82no—
533C22×C3—81no—
534C22×C3—81no—
535C22×C3—81no—
536C22×C3—82no—
537C22×C3C2×#12011yescharacteristic
538C22×C3C2×#12111yescharacteristic
539C22×C3C2×#12112yes—
540C22×C3C2×C22⋊Q812yes—
541C22×C3C2×C22⋊Q811yescharacteristic
542C22×C3#52511yescharacteristic
543C22×C3#52512yes—
544C22×C3C2×#12411yescharacteristic
545C22×C3C2×#12412yes—
546C22×C3#53511yescharacteristic
547C22×C3#53512yes—
548C22×C3#53712yes—
549C22×C3#53711yescharacteristic
550C22×C3D4×Q811yescharacteristic
551C22×C3#55012yes—
552C22×C3#55011yescharacteristic
553C22×C3#55412yes—
554C22×C3#55411yescharacteristic
555C22×C3#55612yes—
556C22×C3#55611yescharacteristic
557C22×C3#55912yes—
558C22×C3#55912yes—
559C22×C3#55912yes—
560C2×D3—42no—
561C2×D3—44no—
562C2×D3—42no—
563C2×D3—44no—
564C2×D3—42no—
565C2×D3—81no—
566C2×D3—82no—
567C2×D3—81no—
568C2×D3—81no—
569C2×D3—81no—
570C2×D3—82no—
571C3×C4—24no—
572C3×C4—44no—
573C3×C4—81no—
574C3×C4—82no—
575Dic3—28no—
576Dic3—42no—
577Dic3—81no—
578Dic3—82no—
579Dic3#39318yescomplemented
580C23—22no—
581C23—24no—
582C23—22no—
583C23—24no—
584C23—22no—
585C23—41no—
586C23—42no—
587C23—42no—
588C23—41no—
589C23—42no—
590C23—42no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—42no—
595C23—42no—
596C23—41no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—41no—
601C23—42no—
602C23—41no—
603C23—62no—
604C23—64no—
605C23—62no—
606C23—64no—
607C23—62no—
608C23—121no—
609C23—122no—
610C23—122no—
611C23—121no—
612C23—122no—
613C23—122no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23—122no—
618C23—122no—
619C23—121no—
620C23—122no—
621C23—122no—
622C23—122no—
623C23—121no—
624C23—122no—
625C23—121no—
626C23C2×#23511yescharacteristic
627C23C2×D3×D411yescharacteristic
628C23C2×D3×D411yescharacteristic
629C23C2×D3×D412yes—
630C23#100412yes—
631C23#100411yescharacteristic
632C23C2×D3×Q811yescharacteristic
633C23D3×#4112yes—
634C23D3×#4111yescharacteristic
635C23D3×#4112yes—
636C23#101011yescharacteristic
637Q8—632no—
638D4—1216no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—34no—
647C2×C4—38no—
648C2×C4—34no—
649C2×C4—38no—
650C2×C4—34no—
651C2×C4—38no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—64no—
669C2×C4—64no—
670C2×C4—64no—
671C2×C4—64no—
672C2×C4—64no—
673C2×C4—64no—
674C2×C4—62no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—122no—
678C2×C4—122no—
679C2×C4—122no—
680C2×C4—122no—
681C2×C4—121no—
682C2×C4—122no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4—122no—
686C2×C4—122no—
687C2×C4—122no—
688C2×C4—122no—
689C2×C4—122no—
690C2×C4—122no—
691C2×C4#88414yes—
692C2×C3—82no—
693C2×C3C2×#39311yescharacteristic
694C2×C3#253812yes—
695C2×C3#253811yescharacteristic
696C2×C3#254811yescharacteristic
697C2×C3#254812yes—
698C2×C3#258011yescharacteristic
699C2×C3#258012yes—
700C2×C3#259212yes—
701C2×C3#259211yescharacteristic
702C2×C3#261511yescharacteristic
703C2×C3#284711yescharacteristic
704D3—82no—
705C22—44no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—44no—
710C22—81no—
711C22—82no—
712C22—82no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—124no—
717C22—122no—
718C22—122no—
719C22—122no—
720C22—124no—
721C22—241no—
722C22—242no—
723C22—242no—
724C22—241no—
725C22—241no—
726C22—241no—
727C22C2×#88411yescharacteristic
728C22#551111yescharacteristic
729C22#553311yescharacteristic
730C22#554712yes—
731C22#555912yes—
732C22D3×#12011yescharacteristic
733C22#559212yes—
734C22#559712yes—
735C22#559912yes—
736C22#559911yescharacteristic
737C22D3×#12112yes—
738C22#560811yescharacteristic
739C22D3×C22⋊Q812yes—
740C22D3×C22⋊Q811yescharacteristic
741C22#563211yescharacteristic
742C22#563612yes—
743C22#565611yescharacteristic
744C22#566412yes—
745C22#566412yes—
746C22D3×#12411yescharacteristic
747C22D3×#12412yes—
748C22#570212yes—
749C22#571511yescharacteristic
750C4—24no—
751C4—38no—
752C4—44no—
753C4—68no—
754C4—81no—
755C4—82no—
756C4—122no—
757C4—241no—
758C4—242no—
759C3#1515711yescharacteristic, complemented, Sylow
760C2—82no—
761C2—242no—
762C2#7393611yescharacteristic
763C2#7448712yes—
764C2#7493511yescharacteristic
765C2#7561912yes—
766C2#7635211yescharacteristic
767C2#7669711yescharacteristic
768C2D3×#39311yescharacteristic
769C2#7694612yes—
770C2#7731412yes—
771C2#7752611yescharacteristic
772C2#7804111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×#1439C2
prime radicalC23×#67C22
hypercenter#1439D3
hypocenterC3#15157
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1439

Complements

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

NH ≅ G/Ntype
1. C22×#887C2semidirect
2. C2×#4947C2semidirect
5. C2×#4673C2semidirect
6. C3×#1439C2semidirect
7. #71570C2semidirect
8. #71547C2semidirect
9. #69428C2semidirect
10. Dic3⋊#95C2semidirect
11. Dic3⋊#95C2semidirect
50. #1439D3semidirect
63. C22×#67Q8semidirect
73. C22×Dic6D4semidirect
579. Dic3#393semidirect
759. C3#15157semidirect

Maximal subgroups

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

subgroupindex
C22×#8872
C2×#49472
C2×#49572
C2×#46732
C3×#14392
#715702
#715472
#694282
Dic3⋊#952
#151573