Finite Group Databasebeta

← #10943982

Subgroups — #10943982

Order 768.

2008 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D3×D4C211yesmaximal, characteristic, complemented
2C2×#5015C211yesmaximal, characteristic, complemented
3C2×#4843C211yesmaximal, characteristic, complemented
4C2×#4773C212yesmaximal, complemented
5#74375C211yesmaximal, characteristic, complemented
6C3×#1802C211yesmaximal, characteristic, complemented
7#70475C211yesmaximal, characteristic, complemented
8#70172C212yesmaximal, complemented
9#69584C211yesmaximal, characteristic, complemented
10#68897C212yesmaximal, complemented
11#68880C212yesmaximal, complemented
12#32902—31nomaximal, Sylow
13C22×D3×D4C2211yescharacteristic
14C23×C4×D3—21no—
15C2×C3×C4×D4C2211yescharacteristic
16C2×D4×Dic3C2211yescharacteristic
17C22×#213C2212yes—
18C2×C4×#67—21no—
19C22×D24C2212yes—
20C4×D3×D4—24no—
21C4×D3×D4—24no—
22C2×#895—21no—
23C2×#895—21no—
24C2×#895C2212yes—
25C2×#893C2211yescharacteristic
26C2×D3×C4⋊C4C2211yescharacteristic
27C2×#67⋊C4—21no—
28C2×D3×C22⋊C4—21no—
29C2×#874C2211yescharacteristic, complemented
30C2×C4×D12C2211yescharacteristic
31C2×C42×D3C2211yescharacteristic
32C2×C3×C4⋊C8C2211yescharacteristic, complemented
33C2×C3×#102C2212yes—
34C3×#384C2211yescharacteristic, complemented
35C2×#821C2212yescomplemented
36C2×(C2×D3)⋊C8C2212yes—
37#5015—24no—
38#4988—21no—
39#4988—21no—
40#4988C2212yescomplemented
41C2×#809C2212yes—
42C2×#809C2212yescomplemented
43C2×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
44#4843—24no—
45#4773—28no—
46C3×#340C2212yescomplemented
47#4550C2212yescomplemented
48#4529C2212yescomplemented
49C22×C4×D4—31no—
50C2×#459—31no—
51C2×#459—31no—
52C2×#447—32no—
53#2856—31no—
54#1879—32no—
55#1879—32no—
56#1874—32no—
57#1802—31no—
58#1802D311yescharacteristic, complemented
59#1797—31no—
60C24×D3—21no—
61C22×C3×D4C2311yescharacteristic
62C23×C3×C4—21no—
63C22×#67—21no—
64C23×Dic3—21no—
65C2×D3×D4—22no—
66C2×D3×D4—22no—
67C2×D3×D4—22no—
68C2×D3×D4—22no—
69C2×D3×D4—22no—
70C2×D3×D4D414yescomplemented
71C22×D12—22no—
72C22×D12—21no—
73C22×D12—21no—
74C22×D12C2312yes—
75C22×D12C2311yescharacteristic
76C22×C4×D3—28no—
77C22×C4×D3—21no—
78C22×C4×D3—21no—
79C22×C4×D3—21no—
80C22×C4×D3—44no—
81C22×C4×D3—44no—
82C22×C4×D3D411yescharacteristic
83C22×C4×D3D411yescharacteristic
84C22×C4×D3C2311yescharacteristic
85C22×C3×C8C2312yes—
86C3×C4×D4—22no—
87C3×C4×D4D414yescomplemented
88C2×C3×C4⋊C4—21no—
89C2×C3×C4⋊C4—21no—
90C2×C3×C4⋊C4C2312yes—
91C2×C3×C4⋊C4C2311yescharacteristic
92C2×C3×C22⋊C4—21no—
93C2×C3×C42C2311yescharacteristic
94C2×#217—21no—
95D4×Dic3—22no—
96D4×Dic3—22no—
97C2×#213—24no—
98C2×#213—24no—
99C2×#213—24no—
100C4×#67—28no—
101C2×(C2×D3)⋊C4—21no—
102C2×(C2×D3)⋊C4—21no—
103C2×(C2×D3)⋊C4—22no—
104C2×(C2×D3)⋊C4—22no—
105C2×(C2×D3)⋊C4—22no—
106C2×C4⋊Dic3C2311yescharacteristic
107C2×Dic3⋊C4—21no—
108C2×C4×Dic3D411yescharacteristic
109C2×C4×Dic3D411yescharacteristic
110C2×C4×Dic3C2311yescharacteristic
111C22×C3⋊C8C2312yes—
112C2×D24—24no—
113C2×D24—24no—
114C2×D24—24no—
115#895—24no—
116#895—24no—
117#895—44no—
118#895—44no—
119#893—22no—
120#893—22no—
121D3×C4⋊C4—22no—
122D3×C4⋊C4—22no—
123#67⋊C4—28no—
124D3×C22⋊C4—28no—
125#874—22no—
126#874—22no—
127C4×D12—22no—
128C4×D12D414yescomplemented
129C42×D3—22no—
130C42×D3—22no—
131C3×C4⋊C8—22no—
132C3×#102—24no—
133#821—24no—
134(C2×D3)⋊C8—24no—
135#809—24no—
136#809—24no—
137C4⋊(C3⋊C8)—22no—
138C23×D4—31no—
139C24×C4—61no—
140C22×D8—32no—
141C22×D8—32no—
142C2×#127—31no—
143C2×#121—32no—
144C2×#121—61no—
145C2×#121—61no—
146C2×C4×D4—31no—
147C2×C4×D4—31no—
148C2×C4×D4—31no—
149C2×C4×D4—61no—
150C2×C4×D4—61no—
151C2×C4×D4—64no—
152C2×C4×D4—64no—
153C2×C4×D4C2×D311yescharacteristic
154C22×C4⋊C4—31no—
155C22×C22⋊C4—61no—
156C22×C42—31no—
157#459—64no—
158#459—64no—
159#447—68no—
160C2×C4⋊C8—31no—
161C2×C4⋊C8C2×D311yescharacteristic, complemented
162C2×#102—32no—
163C2×#102—32no—
164C2×#102—32no—
165C2×#102C2×D312yes—
166C2×C22⋊C8—32no—
167#390—32no—
168#390—61no—
169#390—61no—
170#384C2×D311yescharacteristic, complemented
171#340—32no—
172#340C2×D312yescomplemented
173#336—32no—
174C24×C3—21no—
175C23×D3—24no—
176C23×D3—24no—
177C23×D3—21no—
178C23×D3—24no—
179C23×D3—22no—
180C23×D3—42no—
181C23×D3—42no—
182C23×D3—42no—
183C23×D3—42no—
184C23×D3C2×D411yescharacteristic
185C2×C3×D4—21no—
186C2×C3×D4—21no—
187C2×C3×D4—21no—
188C2×C3×D4C2×D412yes—
189C2×C3×D4C2×D412yes—
190C2×C3×D4#4112yes—
191C22×C3×C4—21no—
192C22×C3×C4—24no—
193C22×C3×C4—22no—
194C22×C3×C4—42no—
195C22×C3×C4—42no—
196C22×C3×C4C2×D411yescharacteristic
197C22×C3×C4C2×D411yescharacteristic
198C22×C3×C4C2411yescharacteristic
199C2×#67—24no—
200C2×#67—24no—
201C2×#67—24no—
202C22×Dic3—24no—
203C22×Dic3—21no—
204C22×Dic3—42no—
205C22×Dic3—42no—
206C22×Dic3C2×D411yescharacteristic
207C22×Dic3C2×D411yescharacteristic
208C22×Dic3C2×D411yescharacteristic
209D3×D4—28no—
210D3×D4—28no—
211D3×D4—28no—
212D3×D4—28no—
213C2×D12—21no—
214C2×D12—21no—
215C2×D12—21no—
216C2×D12—22no—
217C2×D12—22no—
218C2×D12—22no—
219C2×D12—22no—
220C2×D12—22no—
221C2×D12—22no—
222C2×D12—42no—
223C2×D12—42no—
224C2×D12—44no—
225C2×D12—44no—
226C2×D12—44no—
227C2×D12—42no—
228C2×D12—42no—
229C2×D12—42no—
230C2×D12—42no—
231C2×D12C2×D412yes—
232C2×D12C2×D412yes—
233C2×D12#4112yes—
234C2×C4×D3—22no—
235C2×C4×D3—22no—
236C2×C4×D3—21no—
237C2×C4×D3—21no—
238C2×C4×D3—21no—
239C2×C4×D3—21no—
240C2×C4×D3—24no—
241C2×C4×D3—24no—
242C2×C4×D3—22no—
243C2×C4×D3—22no—
244C2×C4×D3—24no—
245C2×C4×D3—432no—
246C2×C4×D3—41no—
247C2×C4×D3—42no—
248C2×C4×D3—42no—
249C2×C4×D3—42no—
250C2×C4×D3—42no—
251C2×C4×D3—42no—
252C2×C4×D3—42no—
253C2×C4×D3D814yescomplemented
254C2×C4×D3C2×D412yes—
255C2×C4×D3#4112yes—
256C2×C3×C8—22no—
257C2×C3×C8—22no—
258C2×C3×C8—22no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—22no—
261C3×C4⋊C4—22no—
262C3×C4⋊C4—42no—
263C3×C4⋊C4—42no—
264C3×C4⋊C4C2×D412yes—
265C3×C22⋊C4—24no—
266C3×C42C2×D412yes—
267C3×C42C2×D412yes—
268#217—24no—
269#213—48no—
270(C2×D3)⋊C4—24no—
271(C2×D3)⋊C4—24no—
272(C2×D3)⋊C4—44no—
273(C2×D3)⋊C4—44no—
274(C2×D3)⋊C4—44no—
275C4⋊Dic3—21no—
276C4⋊Dic3C2×D412yes—
277Dic3⋊C4—24no—
278C4×Dic3—22no—
279C4×Dic3—22no—
280C4×Dic3—21no—
281C4×Dic3—21no—
282C2×C3⋊C8—22no—
283C2×C3⋊C8—22no—
284C2×C3⋊C8—22no—
285D24—48no—
286C25—61no—
287C22×D4—34no—
288C22×D4—31no—
289C22×D4—32no—
290C22×D4—62no—
291C22×D4—62no—
292C22×D4—61no—
293C22×D4—62no—
294C22×D4—62no—
295C22×D4—62no—
296C22×D4—62no—
297C22×D4—61no—
298C22×D4—61no—
299C22×D4C22×D311yescharacteristic
300C23×C4—21no—
301C23×C4—31no—
302C23×C4—31no—
303C23×C4—31no—
304C23×C4—61no—
305C23×C4—61no—
306C23×C4—68no—
307C23×C4—61no—
308C23×C4—61no—
309C23×C4—124no—
310C23×C4—124no—
311C2×D8—64no—
312C2×D8—64no—
313C2×D8—64no—
314C2×D8—64no—
315C2×D8—64no—
316C2×D8—64no—
317C22×C8—32no—
318C22×C8C22×D312yes—
319#127—62no—
320#127—62no—
321#121—64no—
322#121—64no—
323#121—124no—
324#121—124no—
325C4×D4—22no—
326C4×D4—34no—
327C4×D4—68no—
328C4×D4—62no—
329C4×D4—62no—
330C4×D4—68no—
331C4×D4—62no—
332C4×D4—62no—
333C4×D4—62no—
334C4×D4D1214yescomplemented
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—31no—
338C2×C4⋊C4—62no—
339C2×C4⋊C4—61no—
340C2×C4⋊C4—62no—
341C2×C4⋊C4C22×D312yes—
342C2×C4⋊C4C22×D311yescharacteristic
343C2×C22⋊C4—21no—
344C2×C22⋊C4—68no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4—61no—
347C2×C22⋊C4—61no—
348C2×C22⋊C4—62no—
349C2×C22⋊C4—62no—
350C2×C22⋊C4—62no—
351C2×C42—31no—
352C2×C42—31no—
353C2×C42—31no—
354C2×C42—62no—
355C2×C42—62no—
356C2×C42C22×D311yescharacteristic
357C4⋊C8—22no—
358C4⋊C8—62no—
359#102—24no—
360#102—64no—
361#102—64no—
362#102—64no—
363C22⋊C8—64no—
364C23×C3—22no—
365C23×C3—22no—
366C23×C3—22no—
367C23×C3—41no—
368C23×C3—41no—
369C23×C3—41no—
370C23×C3—41no—
371C23×C3C22×D411yescharacteristic
372C22×D3—21no—
373C22×D3—21no—
374C22×D3—21no—
375C22×D3—21no—
376C22×D3—216no—
377C22×D3—22no—
378C22×D3—22no—
379C22×D3—22no—
380C22×D3—48no—
381C22×D3—48no—
382C22×D3—48no—
383C22×D3—48no—
384C22×D3—48no—
385C22×D3—41no—
386C22×D3—41no—
387C22×D3—41no—
388C22×D3—41no—
389C22×D3—48no—
390C22×D3—42no—
391C22×D3—42no—
392C22×D3—42no—
393C22×D3—42no—
394C22×D3—42no—
395C22×D3—42no—
396C22×D3—42no—
397C22×D3#12112yes—
398C22×D3C2×D812yes—
399C22×D3AGL(1,ℤ/8)12yes—
400C3×D4—22no—
401C3×D4—22no—
402C3×D4—22no—
403C3×D4#12114yescomplemented
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—22no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—48no—
410C2×C3×C4—42no—
411C2×C3×C4—42no—
412C2×C3×C4—42no—
413C2×C3×C4#12012yes—
414C2×C3×C4#12012yes—
415C2×C3×C4C2×D812yes—
416C2×C3×C4AGL(1,ℤ/8)12yes—
417C2×C3×C4C22×D411yescharacteristic
418C2×C3×C4C22×D411yescharacteristic
419C2×C3×C4C22×D411yescharacteristic
420C2×C3×C4C2×#4111yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×C3×C4C2×#4111yescharacteristic
423#67—216no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—22no—
430C2×Dic3—21no—
431C2×Dic3—21no—
432C2×Dic3—48no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3#12112yes—
436C2×Dic3C2×D812yes—
437D12—22no—
438D12—22no—
439D12—22no—
440D12—42no—
441D12—42no—
442D12—42no—
443D12—42no—
444D12—84no—
445D12—88no—
446D12—84no—
447D12#12114yescomplemented
448C4×D3—22no—
449C4×D3—22no—
450C4×D3—22no—
451C4×D3—22no—
452C4×D3—28no—
453C4×D3—48no—
454C4×D3—44no—
455C4×D3—48no—
456C4×D3—48no—
457C3×C8—42no—
458C3⋊C8—42no—
459C24—21no—
460C24—31no—
461C24—64no—
462C24—64no—
463C24—64no—
464C24—61no—
465C24—62no—
466C24—122no—
467C24—122no—
468C24—122no—
469C24—122no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—32no—
474C2×D4—32no—
475C2×D4—32no—
476C2×D4—64no—
477C2×D4—68no—
478C2×D4—68no—
479C2×D4—68no—
480C2×D4—64no—
481C2×D4—64no—
482C2×D4—68no—
483C2×D4—61no—
484C2×D4—62no—
485C2×D4—62no—
486C2×D4—62no—
487C2×D4—61no—
488C2×D4—62no—
489C2×D4—61no—
490C2×D4—62no—
491C2×D4—62no—
492C2×D4—122no—
493C2×D4—122no—
494C2×D4—124no—
495C2×D4—124no—
496C2×D4—124no—
497C2×D4—122no—
498C2×D4—122no—
499C2×D4—122no—
500C2×D4—122no—
501C2×D4C2×D1212yes—
502C2×D4D3×D412yes—
503C2×D4#23912yes—
504C22×C4—21no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—31no—
508C22×C4—31no—
509C22×C4—34no—
510C22×C4—32no—
511C22×C4—32no—
512C22×C4—31no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—62no—
516C22×C4—64no—
517C22×C4—64no—
518C22×C4—62no—
519C22×C4—62no—
520C22×C4—61no—
521C22×C4—61no—
522C22×C4—61no—
523C22×C4—61no—
524C22×C4—64no—
525C22×C4—61no—
526C22×C4—62no—
527C22×C4—64no—
528C22×C4—121no—
529C22×C4—122no—
530C22×C4—122no—
531C22×C4—122no—
532C22×C4—1232no—
533C22×C4—122no—
534C22×C4—122no—
535C22×C4—122no—
536C22×C4—122no—
537C22×C4—122no—
538C22×C4D3×D411yescharacteristic
539C22×C4D3×D411yescharacteristic
540C22×C4C23×D311yescharacteristic
541D8—128no—
542D8—128no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—62no—
547C2×C8—62no—
548C2×C8—62no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—32no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—64no—
556C4⋊C4—61no—
557C4⋊C4C2×D1212yes—
558C22⋊C4—24no—
559C22⋊C4—64no—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—124no—
563C22⋊C4—124no—
564C22⋊C4—124no—
565C42—62no—
566C42—62no—
567C42—61no—
568C42—61no—
569C42C2×D1212yes—
570C42D3×D412yes—
571C22×C3—24no—
572C22×C3—42no—
573C22×C3—42no—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—42no—
578C22×C3C2×#12011yescharacteristic
579C22×C3C2×#12111yescharacteristic
580C22×C3#52511yescharacteristic
581C22×C3C22×D811yescharacteristic
582C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
583C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
584C22×C3#57511yescharacteristic
585C2×D3—22no—
586C2×D3—22no—
587C2×D3—22no—
588C2×D3—22no—
589C2×D3—22no—
590C2×D3—22no—
591C2×D3—24no—
592C2×D3—432no—
593C2×D3—42no—
594C2×D3—42no—
595C2×D3—42no—
596C2×D3—42no—
597C2×D3—42no—
598C2×D3—42no—
599C2×D3—82no—
600C2×D3—82no—
601C2×D3—82no—
602C2×D3—82no—
603C2×D3—82no—
604C2×D3—82no—
605C2×D3—82no—
606C2×D3#45914yescomplemented
607C3×C4—22no—
608C3×C4—42no—
609C3×C4—82no—
610C3×C4#44714yescomplemented
611C3×C4C2×#12111yescharacteristic
612C3×C4C2×#12111yescharacteristic
613C3×C4#52511yescharacteristic
614C3×C4#52511yescharacteristic
615Dic3—22no—
616Dic3—22no—
617Dic3—42no—
618Dic3—41no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—32no—
623C23—32no—
624C23—32no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—616no—
630C23—61no—
631C23—61no—
632C23—61no—
633C23—61no—
634C23—62no—
635C23—62no—
636C23—62no—
637C23—128no—
638C23—128no—
639C23—128no—
640C23—128no—
641C23—128no—
642C23—128no—
643C23—121no—
644C23—121no—
645C23—121no—
646C23—121no—
647C23—122no—
648C23—122no—
649C23—122no—
650C23—122no—
651C23—122no—
652C23—122no—
653C23—122no—
654C23C2×D3×D411yescharacteristic
655D4—22no—
656D4—22no—
657D4—22no—
658D4—34no—
659D4—616no—
660D4—62no—
661D4—62no—
662D4—62no—
663D4—122no—
664D4—122no—
665D4—122no—
666D4—122no—
667D4—244no—
668D4—248no—
669D4—244no—
670D4#89514yescomplemented
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—22no—
674C2×C4—32no—
675C2×C4—32no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—48no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—62no—
687C2×C4—62no—
688C2×C4—68no—
689C2×C4—62no—
690C2×C4—62no—
691C2×C4—61no—
692C2×C4—62no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—124no—
696C2×C4—128no—
697C2×C4—128no—
698C2×C4—128no—
699C2×C4—121no—
700C2×C4—121no—
701C2×C4—128no—
702C2×C4#88212yes—
703C2×C4#88212yes—
704C2×C4D3×D812yes—
705C2×C4#91412yes—
706C2×C4C22×D1211yescharacteristic
707C2×C4C2×D3×D411yescharacteristic
708C2×C4C2×D3×D411yescharacteristic
709C2×C4C2×#23911yescharacteristic
710C2×C4D3×#4111yescharacteristic
711C2×C4D3×#4111yescharacteristic
712C8—42no—
713C8—122no—
714C2×C3—44no—
715C2×C3#284711yescharacteristic
716C2×C3C2×#44711yescharacteristic
717C2×C3#300611yescharacteristic
718C2×C3C2×#45911yescharacteristic
719C2×C3#303611yescharacteristic
720C2×C3#310011yescharacteristic
721C2×C3#310911yescharacteristic
722D3—24no—
723D3—44no—
724D3—162no—
725C22—24no—
726C22—34no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—62no—
734C22—62no—
735C22—62no—
736C22—62no—
737C22—62no—
738C22—62no—
739C22—64no—
740C22—1232no—
741C22—122no—
742C22—122no—
743C22—122no—
744C22—122no—
745C22—122no—
746C22—122no—
747C22—242no—
748C22—242no—
749C22—242no—
750C22—242no—
751C22—242no—
752C22—242no—
753C22—242no—
754C22C2×#88211yescharacteristic
755C22D3×#12111yescharacteristic
756C22#562711yescharacteristic
757C22C2×D3×D811yescharacteristic
758C22C2×#91411yescharacteristic
759C22D3×AGL(1,ℤ/8)11yescharacteristic
760C22#577711yescharacteristic
761C4—22no—
762C4—42no—
763C4—62no—
764C4—62no—
765C4—82no—
766C4—121no—
767C4—122no—
768C4#477314yescomplemented
769C4C2×#89511yescharacteristic
770C4#552411yescharacteristic
771C4D3×#12111yescharacteristic
772C4#562711yescharacteristic
773C3#3290211yescharacteristic, complemented, Sylow
774C2—44no—
775C2—64no—
776C2—124no—
777C2—482no—
778C2#7404811yescharacteristic
779C2C2×#477311yescharacteristic
780C2#7888411yescharacteristic
781C2D3×#45911yescharacteristic
782C2#8042811yescharacteristic
783C2#8094811yescharacteristic
784C2#8104611yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1802C2
socleC23×C3C22×D4
hypercenter#1802D3
hypocenterC3#32902
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1802

Complements

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

NH ≅ G/Ntype
1. C2×C4×D3×D4C2semidirect
2. C2×#5015C2semidirect
3. C2×#4843C2semidirect
4. C2×#4773C2semidirect
5. #74375C2semidirect
6. C3×#1802C2semidirect
7. #70475C2semidirect
8. #70172C2semidirect
9. #69584C2semidirect
10. #68897C2semidirect
11. #68880C2semidirect
29. C2×#874C22semidirect
32. C2×C3×C4⋊C8C22semidirect
34. C3×#384C22semidirect
35. C2×#821C22semidirect
40. #4988C22semidirect
42. C2×#809C22semidirect
43. C2×C4⋊(C3⋊C8)C22semidirect
46. C3×#340C22semidirect
47. #4550C22semidirect
48. #4529C22semidirect
58. #1802D3semidirect
70. C2×D3×D4D4semidirect
87. C3×C4×D4D4semidirect
128. C4×D12D4semidirect
161. C2×C4⋊C8C2×D3semidirect
170. #384C2×D3semidirect
172. #340C2×D3semidirect
253. C2×C4×D3D8semidirect
334. C4×D4D12semidirect
403. C3×D4#121semidirect
447. D12#121semidirect
606. C2×D3#459semidirect
610. C3×C4#447semidirect
670. D4#895semidirect
768. C4#4773semidirect
773. C3#32902semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D3×D42
C2×#50152
C2×#48432
C2×#47732
#743752
C3×#18022
#704752
#701722
#695842
#688972
#688802
#329023