Finite Group Databasebeta

← #10823479

Subgroups — #10823479

Order 768.

1178 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5603C211yesmaximal, characteristic, complemented
2C2×Dic3×D8C211yesmaximal, characteristic, complemented
3#82633C211yesmaximal, characteristic, complemented
4C2×#4757C211yesmaximal, characteristic, complemented
5C3×#1999C211yesmaximal, characteristic
6#72045C211yesmaximal, characteristic, complemented
7#71685C211yesmaximal, characteristic, complemented
8#71679C211yesmaximal, characteristic, complemented
9#70178C211yesmaximal, characteristic, complemented
10#70163C211yesmaximal, characteristic, complemented
11#70152C211yesmaximal, characteristic, complemented
12#69937C211yesmaximal, characteristic, complemented
13#69907C211yesmaximal, characteristic, complemented
14#68826C211yesmaximal, characteristic, complemented
15#68781C211yesmaximal, characteristic, complemented
16#23579—31nomaximal, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×#121C2211yescharacteristic
19C2×C3×#121C2211yescharacteristic
20C2×#936—21no—
21C2×#936C2211yescharacteristic
22C2×#935—21no—
23C2×D4×Dic3C2211yescharacteristic
24C2×D4×Dic3C2211yescharacteristic
25C22×#214C2211yescharacteristic
26C2×#926C2211yescharacteristic
27C2×#924C2211yescharacteristic
28#5603—24no—
29#5603—24no—
30C2×#888C2211yescharacteristic
31C2×#887C2211yescharacteristic
32C2×#879—21no—
33C2×#878—21no—
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×C22⋊C8C2211yescharacteristic
37#5221—21no—
38#5221C2211yescharacteristic
39#5220—21no—
40C2×#832C2211yescharacteristic
41C2×#832C2211yescharacteristic
42C2×#832C2211yescharacteristic
43#5212C2211yescharacteristic
44C2×#830C2211yescharacteristic
45Dic3×D8—24no—
46C2×#818C2211yescharacteristic
47C2×#816C2211yescharacteristic
48C2×#816C2211yescharacteristic
49C2×#815C2211yescharacteristic
50C2×C8×Dic3C2211yescharacteristic
51#4984C2211yescharacteristic
52Dic3×C4⋊C4C2211yescharacteristic
53C2×#810C2211yescharacteristic
54C2×#807C2211yescharacteristic
55#4951—21no—
56#4950—21no—
57#4757—24no—
58C3×#340C2211yescharacteristic
59#4551C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64C2×#542—31no—
65C2×#440—31no—
66C2×C4×D8—31no—
67#2324—31no—
68#2057—31no—
69#2042—31no—
70#2036—31no—
71#2033—31no—
72#2023—31no—
73#2012—31no—
74#2000—31no—
75#1999D311yescharacteristic
76#1762—31no—
77C4×#103—31no—
78#1750—31no—
79C22×C3×D4—21no—
80C22×C3×D4—21no—
81C22×C3×D4C2311yescharacteristic
82C22×C3×D4C2311yescharacteristic
83C23×C3×C4C2311yescharacteristic
84C23×Dic3—21no—
85C23×Dic3—21no—
86C22×Dic6—21no—
87C22×Dic6C2311yescharacteristic
88C2×C3×D8—22no—
89C2×C3×D8—22no—
90C2×C3×D8—22no—
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C3×#121—22no—
94C3×#121—22no—
95C3×#121—22no—
96C3×#121—22no—
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C22⋊C4—21no—
100C2×C3×C22⋊C4—21no—
101C2×#217—21no—
102C2×#217—21no—
103C2×#217—21no—
104C2×#217—21no—
105C2×#217—21no—
106C2×#217—21no—
107C2×#217—21no—
108C2×#217—21no—
109C2×#217D411yescharacteristic
110C2×#217D411yescharacteristic
111#936—28no—
112#936—22no—
113#936—22no—
114#935—28no—
115D4×Dic3—22no—
116D4×Dic3—22no—
117D4×Dic3—22no—
118D4×Dic3D414yescomplemented
119C2×#214—22no—
120C2×#214—22no—
121C2×#214—22no—
122#926—22no—
123#926—22no—
124C2×C4⋊Dic3—21no—
125C2×C4⋊Dic3D411yescharacteristic
126C2×C4⋊Dic3D411yescharacteristic
127C2×C4⋊Dic3C2311yescharacteristic
128C2×C4⋊Dic3C2311yescharacteristic
129C2×C4⋊Dic3C2311yescharacteristic
130#924—22no—
131#924—22no—
132C2×Dic3⋊C4—21no—
133C2×Dic3⋊C4—21no—
134C2×Dic3⋊C4—21no—
135C2×C4×Dic3—21no—
136C2×C4×Dic3—21no—
137C2×C4×Dic3C2311yescharacteristic
138C2×C4×Dic3C2311yescharacteristic
139C22×C3⋊C8C2311yescharacteristic
140C22×C3⋊C8C2311yescharacteristic
141#888—22no—
142#888—22no—
143#887—22no—
144#887D414yescomplemented
145#879—28no—
146#878—28no—
147C3×#102—22no—
148C3×#102—22no—
149C3×C22⋊C8—22no—
150#832—22no—
151#832—22no—
152#832—22no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156#830—22no—
157#818—22no—
158#816—22no—
159#816—22no—
160#815—22no—
161C8×Dic3—22no—
162#810—22no—
163#807—22no—
164C22×SD16—31no—
165C22×D8C2×D311yescharacteristic
166#542—64no—
167#542—64no—
168C2×C4⋊Q8—31no—
169C2×#126—61no—
170C2×#124—31no—
171C2×#124—61no—
172C2×#123—61no—
173C2×C22⋊Q8—31no—
174C2×C22⋊Q8—61no—
175C2×#121C2×D311yescharacteristic
176C2×#121C2×D311yescharacteristic
177C2×C4×Q8—31no—
178C2×C4×D4—31no—
179C2×C4×D4—31no—
180C2×#117—31no—
181#440—64no—
182C4×D8—64no—
183C2×#107—31no—
184C2×#107—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#102—31no—
189C2×#102—31no—
190C2×#102—31no—
191C2×#102C2×D311yescharacteristic
192C2×#102C2×D311yescharacteristic
193C2×C22⋊C8—31no—
194C2×C22⋊C8C2×D311yescharacteristic
195C2×#97—31no—
196C2×C4×C8—31no—
197#390—31no—
198#390—61no—
199#389—31no—
200#388—61no—
201#386—61no—
202#385—61no—
203#380—31no—
204C4×C4⋊C4—31no—
205#340—31no—
206#340—31no—
207#340—31no—
208#340C2×D311yescharacteristic
209#336—31no—
210#336—31no—
211C24×C3—21no—
212C24×C3—21no—
213C24×C3C2×D411yescharacteristic
214C2×C3×D4—24no—
215C2×C3×D4—24no—
216C2×C3×D4—21no—
217C2×C3×D4—21no—
218C2×C3×D4—21no—
219C2×C3×D4—21no—
220C2×C3×D4—21no—
221C2×C3×D4—21no—
222C2×C3×D4—21no—
223C2×C3×D4—21no—
224C2×C3×D4—21no—
225C2×C3×D4—21no—
226C2×C3×D4—81no—
227C2×C3×D4—81no—
228C2×C3×D4—81no—
229C2×C3×D4—81no—
230C2×C3×D4C2×D412yes—
231C2×C3×D4#4112yes—
232C22×C3×C4—21no—
233C22×C3×C4—21no—
234C22×C3×C4—21no—
235C22×C3×C4—21no—
236C22×C3×C4—21no—
237C22×C3×C4—21no—
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4C2×D411yescharacteristic
241C22×C3×C4C2411yescharacteristic
242C22×Dic3—21no—
243C22×Dic3—21no—
244C22×Dic3—24no—
245C22×Dic3—21no—
246C22×Dic3—21no—
247C22×Dic3—42no—
248C22×Dic3—81no—
249C22×Dic3—81no—
250C22×Dic3—81no—
251C22×Dic3—81no—
252C22×Dic3C2×D411yescharacteristic
253C22×Dic3C2×D411yescharacteristic
254C22×Dic3C2×D411yescharacteristic
255C22×Dic3C2×D411yescharacteristic
256C2×Dic6—21no—
257C2×Dic6—21no—
258C2×Dic6—21no—
259C2×Dic6—21no—
260C2×Dic6—21no—
261C2×Dic6—24no—
262C2×Dic6—81no—
263C2×Dic6—81no—
264C2×Dic6C2×D412yes—
265C3×D8—28no—
266C2×C3×C8—21no—
267C2×C3×C8—21no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8#4112yes—
272C3×C4⋊C4—21no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4C2×D412yes—
275C3×C4⋊C4#4112yes—
276C3×C22⋊C4—24no—
277C3×C22⋊C4—24no—
278#217—24no—
279#217—24no—
280#217—24no—
281#217—24no—
282#217—22no—
283#217—22no—
284#217—42no—
285#217—81no—
286#217—81no—
287#217—81no—
288#214—28no—
289C4⋊Dic3—21no—
290C4⋊Dic3—22no—
291C4⋊Dic3—22no—
292C4⋊Dic3—21no—
293C4⋊Dic3—21no—
294C4⋊Dic3—21no—
295C4⋊Dic3—21no—
296C4⋊Dic3—81no—
297C4⋊Dic3C2×D412yes—
298Dic3⋊C4—24no—
299Dic3⋊C4—24no—
300Dic3⋊C4—24no—
301C4×Dic3—21no—
302C4×Dic3—21no—
303C4×Dic3—24no—
304C4×Dic3—81no—
305C4×Dic3C2×D412yes—
306C4×Dic3C2×D412yes—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—21no—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C2×C3⋊C8—21no—
312C2×C3⋊C8#4112yes—
313C22×Q8—31no—
314C22×Q8—61no—
315C22×D4—21no—
316C22×D4—21no—
317C22×D4C22×D311yescharacteristic
318C22×D4C22×D311yescharacteristic
319C23×C4—61no—
320C23×C4—61no—
321C23×C4C22×D311yescharacteristic
322C2×SD16—62no—
323C2×SD16—62no—
324C2×SD16—62no—
325C2×D8—22no—
326C2×D8—22no—
327C2×D8—22no—
328C22×C8—31no—
329C22×C8—31no—
330C22×C8C22×D311yescharacteristic
331C22×C8C22×D311yescharacteristic
332C4⋊Q8—62no—
333C4⋊Q8—62no—
334#126—68no—
335#124—62no—
336#124—68no—
337#124—62no—
338#123—68no—
339C22⋊Q8—68no—
340C22⋊Q8—62no—
341C22⋊Q8—62no—
342#121—22no—
343#121—22no—
344#121—22no—
345#121—22no—
346C4×Q8—34no—
347C4×Q8—62no—
348C4×D4—34no—
349C4×D4—62no—
350C4×D4—62no—
351C4×D4—62no—
352#117—62no—
353#117—62no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—31no—
357C2×C4⋊C4—31no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—61no—
360C2×C4⋊C4—61no—
361C2×C4⋊C4—61no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4C22×D311yescharacteristic
364C2×C4⋊C4C22×D311yescharacteristic
365C2×C22⋊C4—21no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—31no—
368C2×C22⋊C4—31no—
369C2×C22⋊C4—61no—
370C2×C22⋊C4—61no—
371C2×C22⋊C4—61no—
372C2×C22⋊C4—61no—
373C2×C22⋊C4—61no—
374C2×C22⋊C4—61no—
375C2×C22⋊C4—61no—
376C2×C22⋊C4—61no—
377C2×C42—31no—
378C2×C42—31no—
379C2×C42—61no—
380C2×C42—61no—
381#107—62no—
382#107—62no—
383#103—62no—
384#103—62no—
385#103—62no—
386#102—22no—
387#102—22no—
388#102—62no—
389#102—62no—
390#102—62no—
391C22⋊C8—22no—
392C22⋊C8—62no—
393#97—62no—
394C4×C8—62no—
395#95—61no—
396#95—61no—
397#95—61no—
398C23×C3—21no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3—21no—
402C23×C3—21no—
403C23×C3—21no—
404C23×C3—21no—
405C23×C3—21no—
406C23×C3—21no—
407C23×C3—41no—
408C23×C3—41no—
409C23×C3—41no—
410C23×C3—41no—
411C23×C3—41no—
412C23×C3—41no—
413C23×C3—41no—
414C23×C3—41no—
415C23×C3—41no—
416C23×C3—41no—
417C23×C3—41no—
418C23×C3—41no—
419C23×C3C22×D411yescharacteristic
420C3×D4—22no—
421C3×D4—22no—
422C3×D4—22no—
423C3×D4—22no—
424C3×D4—41no—
425C3×D4—41no—
426C3×D4—41no—
427C3×D4—41no—
428C3×D4—84no—
429C3×D4—84no—
430C2×C3×C4—22no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—22no—
434C2×C3×C4—21no—
435C2×C3×C4—41no—
436C2×C3×C4—41no—
437C2×C3×C4—41no—
438C2×C3×C4—41no—
439C2×C3×C4—41no—
440C2×C3×C4—41no—
441C2×C3×C4—41no—
442C2×C3×C4—41no—
443C2×C3×C4C22×D411yescharacteristic
444C2×C3×C4C22×D411yescharacteristic
445C2×C3×C4C2×#4111yescharacteristic
446C2×C3×C4C2×#4111yescharacteristic
447C2×C3×C4C2×#4111yescharacteristic
448C2×C3×C4C2×#4111yescharacteristic
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—22no—
455C2×Dic3—21no—
456C2×Dic3—22no—
457C2×Dic3—21no—
458C2×Dic3—21no—
459C2×Dic3—21no—
460C2×Dic3—21no—
461C2×Dic3—41no—
462C2×Dic3—41no—
463C2×Dic3—41no—
464C2×Dic3—41no—
465C2×Dic3—41no—
466C2×Dic3—41no—
467C2×Dic3—41no—
468C2×Dic3—41no—
469C2×Dic3—41no—
470C2×Dic3—41no—
471C2×Dic3—84no—
472C2×Dic3—84no—
473C2×Dic3#12012yes—
474C2×Dic3#12012yes—
475Dic6—22no—
476Dic6—22no—
477Dic6—41no—
478Dic6—41no—
479Dic6—84no—
480C3×C8—22no—
481C3×C8—41no—
482C3⋊C8—22no—
483C3⋊C8—41no—
484C24—21no—
485C24—21no—
486C24D3×D411yescharacteristic
487C2×Q8—32no—
488C2×Q8—64no—
489C2×Q8—61no—
490C2×Q8—61no—
491C2×Q8—61no—
492C2×Q8—61no—
493C2×Q8—61no—
494C2×Q8—241no—
495C2×Q8—241no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4D3×D412yes—
513C2×D4#23712yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—31no—
523C22×C4—31no—
524C22×C4—31no—
525C22×C4—31no—
526C22×C4—64no—
527C22×C4—61no—
528C22×C4—61no—
529C22×C4—61no—
530C22×C4—61no—
531C22×C4—122no—
532C22×C4—241no—
533C22×C4—241no—
534C22×C4—241no—
535C22×C4—241no—
536C22×C4D3×D411yescharacteristic
537C22×C4C23×D311yescharacteristic
538SD16—68no—
539D8—28no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—32no—
546C2×C8—61no—
547C2×C8—61no—
548C2×C8—61no—
549C2×C8—61no—
550C2×C8—61no—
551C2×C8#23712yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—32no—
555C4⋊C4—62no—
556C4⋊C4—62no—
557C4⋊C4—64no—
558C4⋊C4—64no—
559C4⋊C4—64no—
560C4⋊C4—61no—
561C4⋊C4—61no—
562C4⋊C4—61no—
563C4⋊C4—61no—
564C4⋊C4—61no—
565C4⋊C4—241no—
566C4⋊C4D3×D412yes—
567C4⋊C4#23712yes—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—62no—
571C22⋊C4—62no—
572C22⋊C4—64no—
573C22⋊C4—64no—
574C22⋊C4—64no—
575C22⋊C4—64no—
576C22⋊C4—122no—
577C22⋊C4—241no—
578C22⋊C4—241no—
579C22⋊C4—241no—
580C42—32no—
581C42—32no—
582C42—64no—
583C42—61no—
584C42—61no—
585C42—241no—
586C22×C3—41no—
587C22×C3—42no—
588C22×C3—41no—
589C22×C3—42no—
590C22×C3—41no—
591C22×C3—42no—
592C22×C3—42no—
593C22×C3—41no—
594C22×C3—41no—
595C22×C3—42no—
596C22×C3—41no—
597C22×C3—41no—
598C22×C3—42no—
599C22×C3—81no—
600C22×C3—81no—
601C22×C3—81no—
602C22×C3—81no—
603C22×C3—81no—
604C22×C3—81no—
605C22×C3—81no—
606C22×C3—81no—
607C22×C3C2×#12011yescharacteristic
608C22×C3#52511yescharacteristic
609C22×C3#53211yescharacteristic
610C22×C3#57611yescharacteristic
611C22×C3#57611yescharacteristic
612C22×C3#57711yescharacteristic
613C22×C3#57811yescharacteristic
614C3×C4—42no—
615C3×C4—41no—
616C3×C4—42no—
617C3×C4#52511yescharacteristic
618C3×C4#52511yescharacteristic
619C3×C4#53211yescharacteristic
620C3×C4#53211yescharacteristic
621Dic3—22no—
622Dic3—22no—
623Dic3—42no—
624Dic3—41no—
625Dic3—42no—
626Dic3—41no—
627Dic3—81no—
628Dic3—81no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—22no—
634C23—21no—
635C23—22no—
636C23—21no—
637C23—21no—
638C23—41no—
639C23—41no—
640C23—41no—
641C23—41no—
642C23—41no—
643C23—41no—
644C23—41no—
645C23—41no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—41no—
650C23C2×D3×D411yescharacteristic
651Q8—62no—
652Q8—62no—
653Q8—121no—
654Q8—121no—
655Q8—244no—
656D4—22no—
657D4—22no—
658D4—22no—
659D4—22no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—41no—
664D4—84no—
665D4—84no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—32no—
672C2×C4—32no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—62no—
691C2×C4—61no—
692C2×C4—62no—
693C2×C4—121no—
694C2×C4—121no—
695C2×C4—121no—
696C2×C4—121no—
697C2×C4—121no—
698C2×C4—121no—
699C2×C4—121no—
700C2×C4—121no—
701C2×C4—121no—
702C2×C4—121no—
703C2×C4—244no—
704C2×C4—244no—
705C2×C4C2×D3×D411yescharacteristic
706C2×C4C2×D3×D411yescharacteristic
707C2×C4C2×#23711yescharacteristic
708C2×C4C2×#23711yescharacteristic
709C2×C4C2×#23711yescharacteristic
710C2×C4D3×#4111yescharacteristic
711C8—22no—
712C8—41no—
713C8—62no—
714C8—121no—
715C2×C3—81no—
716C2×C3—82no—
717C2×C3—82no—
718C2×C3#238811yescharacteristic
719C2×C3#300811yescharacteristic
720C2×C3#301311yescharacteristic
721C2×C3#311811yescharacteristic
722C2×C3#312411yescharacteristic
723C2×C3#317511yescharacteristic
724C2×C3#317911yescharacteristic
725C22—41no—
726C22—41no—
727C22—42no—
728C22—41no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—41no—
733C22—41no—
734C22—42no—
735C22—41no—
736C22—41no—
737C22—42no—
738C22—81no—
739C22—81no—
740C22—81no—
741C22—81no—
742C22—81no—
743C22—81no—
744C22—81no—
745C22—81no—
746C22#558611yescharacteristic
747C22D3×#12011yescharacteristic
748C22#559611yescharacteristic
749C22#575711yescharacteristic
750C22#577111yescharacteristic
751C22#577411yescharacteristic
752C22#577511yescharacteristic
753C4—42no—
754C4—41no—
755C4—42no—
756C4—62no—
757C4—62no—
758C4—122no—
759C4—121no—
760C4—122no—
761C4—121no—
762C4—241no—
763C4—241no—
764C4#558611yescharacteristic
765C4#559611yescharacteristic
766C4#560611yescharacteristic
767C4#571611yescharacteristic
768C3#2357911yescharacteristic, complemented, Sylow
769C2—81no—
770C2—82no—
771C2—82no—
772C2#7666511yescharacteristic
773C2#7999211yescharacteristic
774C2#8000411yescharacteristic
775C2#8007411yescharacteristic
776C2#8008811yescharacteristic
777C2#8069811yescharacteristic
778C2#8085111yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
Fitting, prime radicalC3×#1999C2
socleC23×C3C22×D4
hypercenter#1999D3
hypocenterC3#23579
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1999

Complements

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

NH ≅ G/Ntype
1. C2×#5603C2semidirect
2. C2×Dic3×D8C2semidirect
3. #82633C2semidirect
4. C2×#4757C2semidirect
6. #72045C2semidirect
7. #71685C2semidirect
8. #71679C2semidirect
9. #70178C2semidirect
10. #70163C2semidirect
11. #70152C2semidirect
12. #69937C2semidirect
13. #69907C2semidirect
14. #68826C2semidirect
15. #68781C2semidirect
118. D4×Dic3D4semidirect
144. #887D4semidirect
768. C3#23579semidirect

Maximal subgroups

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

subgroupindex
C2×#56032
C2×Dic3×D82
#826332
C2×#47572
C3×#19992
#720452
#716852
#716792
#701782
#701632
#701522
#699372
#699072
#688262
#687812
#235793