Finite Group Databasebeta

← #10966700

Subgroups — #10966700

Order 768.

2570 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5691C211yesmaximal, characteristic, complemented
2C2×C4×#239C211yesmaximal, characteristic, complemented
3C3×#2584C211yesmaximal, characteristic, complemented
4#83063C211yesmaximal, characteristic, complemented
5#82484C211yesmaximal, characteristic, complemented
6#77812C212yesmaximal, complemented
7#77738C212yesmaximal, complemented
8#77197C212yesmaximal, complemented
9#77169C212yesmaximal, complemented
10#76210C212yesmaximal, complemented
11#76209C212yesmaximal, complemented
12#76096C214yesmaximal, complemented
13#75965C212yesmaximal, complemented
14#75964C212yesmaximal, complemented
15#75961C214yesmaximal, complemented
16#73798C211yesmaximal, characteristic, complemented
17C4×#892C211yesmaximal, characteristic, complemented
18#34911—31nomaximal, Sylow
19C22×#239C2211yescharacteristic
20C2×C3×#125C2211yescharacteristic
21C2×C3×C4×Q8C2211yescharacteristic
22C2×Q8×Dic3C2211yescharacteristic
23#5691—28no—
24C4×#239—28no—
25C2×#898C2212yes—
26C2×#897C2211yescharacteristic
27C2×#897C2212yes—
28C2×#895C2211yescharacteristic
29C2×#895C2212yes—
30C2×#894C2212yes—
31C2×#893C2212yes—
32C2×#893C2211yescharacteristic
33C2×#893C2212yes—
34C2×#893C2211yescharacteristic
35C2×#893C2214yes—
36C2×#892C2211yescharacteristic
37C2×#892C2212yes—
38C2×#892C2212yes—
39C2×#892C2212yes—
40C2×#887C2211yescharacteristic
41C2×#875C2211yescharacteristic
42C2×C4×D12C2211yescharacteristic
43C2×C4×D12C2212yes—
44C2×C42×D3C2212yes—
45C2×C42×D3C2211yescharacteristic
46C3×#398C2212yes—
47C3×#395C2212yes—
48C3×#389C2214yes—
49C3×#389C2212yes—
50C3×#389C2212yes—
51C3×C4×C4⋊C4C2211yescharacteristic
52#5231C2212yes—
53#4992C2212yes—
54#4991C2214yes—
55#4991C2214yes—
56#4991C2212yes—
57#4990C2214yes—
58#4990C2214yes—
59#4990C2214yes—
60#4989C2214yes—
61#4988C2214yes—
62#4987C2212yes—
63#4987C2212yes—
64#4986C2212yes—
65#4984C2214yes—
66Dic3×C4⋊C4C2212yes—
67Dic3×C4⋊C4C2214yes—
68#4939C2212yes—
69#4939C2214yes—
70C4×(C2×D3)⋊C4C2212yes—
71C4×C4⋊Dic3C2211yescharacteristic
72C42×Dic3C2212yes—
73#4929C2212yes—
74#4677C2212yes—
75#4674C2214yes—
76#4671C2214yes—
77#4671C2212yes—
78#4670C2214yes—
79#4670C2214yes—
80#4666C2212yes—
81#4666C2214yes—
82#4666C2214yes—
83#4665C2214yes—
84#4654C2214yes—
85#4648C2212yes—
86C2×#529—31no—
87C2×C4×#41—31no—
88#2604—32no—
89#2603—32no—
90#2602—34no—
91#2592—31no—
92#2584D311yescharacteristic, complemented
93#2562—31no—
94#2540—31no—
95#2415—32no—
96#2414—32no—
97#2395—32no—
98#2388—32no—
99C4×C22⋊Q8—32no—
100C4×#121—32no—
101#2293—34no—
102C4×#117—31no—
103C22×C3×Q8C2311yescharacteristic
104C2×#239—24no—
105C2×#239—28no—
106C22×D12C2312yes—
107C22×D12C2311yescharacteristic
108C22×D12C2311yescharacteristic
109C22×D12C2314yes—
110C22×D12C2312yes—
111C22×C4×D3C2312yes—
112C22×C4×D3C2312yes—
113C22×C4×D3C2311yescharacteristic
114C22×C4×D3C2311yescharacteristic
115C22×C4×D3C2312yes—
116C22×C4×D3C2312yes—
117C22×C4×D3C2311yescharacteristic
118C22×Dic6C2311yescharacteristic
119C3×#125—24no—
120C3×C4×Q8—24no—
121C2×C3×C4⋊C4C2314yes—
122C2×C3×C4⋊C4C2311yescharacteristic
123C2×C3×C4⋊C4C2312yes—
124C2×C3×C4⋊C4C2311yescharacteristic
125C2×C3×C4⋊C4C2312yes—
126C2×C3×C4⋊C4C2312yes—
127C2×C3×C4⋊C4C2311yescharacteristic
128C2×C3×C4⋊C4C2314yes—
129C2×C3×C4⋊C4C2312yes—
130C2×C3×C42C2312yes—
131C2×C3×C42C2312yes—
132C2×C3×C42C2311yescharacteristic
133Q8×Dic3—24no—
134C2×(C2×D3)⋊C4C2312yes—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2314yes—
138C2×(C2×D3)⋊C4C2314yes—
139C2×(C2×D3)⋊C4C2312yes—
140C2×(C2×D3)⋊C4C2312yes—
141C2×(C2×D3)⋊C4C2314yes—
142C2×(C2×D3)⋊C4C2312yes—
143C2×(C2×D3)⋊C4C2312yes—
144C2×(C2×D3)⋊C4C2312yes—
145C2×(C2×D3)⋊C4C2312yes—
146C2×(C2×D3)⋊C4C2312yes—
147C2×(C2×D3)⋊C4C2314yes—
148C2×(C2×D3)⋊C4C2314yes—
149C2×C4⋊Dic3C2314yes—
150C2×C4⋊Dic3C2312yes—
151C2×C4⋊Dic3C2312yes—
152C2×C4⋊Dic3C2312yes—
153C2×C4⋊Dic3C2311yescharacteristic
154C2×Dic3⋊C4C2312yes—
155C2×C4×Dic3C2314yes—
156C2×C4×Dic3C2312yes—
157C2×C4×Dic3C2314yes—
158C2×C4×Dic3C2312yes—
159C2×C4×Dic3C2312yes—
160C2×C4×Dic3C2312yes—
161C2×C4×Dic3C2311yescharacteristic
162C2×C4×Dic3C2311yescharacteristic
163C2×C4×Dic3C2311yescharacteristic
164#898—28no—
165#897—24no—
166#897—28no—
167#895—24no—
168#895—28no—
169#894—28no—
170#893—28no—
171#893—28no—
172#893—216no—
173#893—24no—
174#893—24no—
175#892—24no—
176#892—28no—
177#892—28no—
178#892—28no—
179#887—24no—
180#875—24no—
181C4×D12—28no—
182C4×D12—24no—
183C42×D3—28no—
184C42×D3D418yescomplemented
185C3×#95C2312yes—
186C3×#95C2314yes—
187C3×#95C2314yes—
188C3⋊#95C2314yes—
189C3⋊#95C2312yes—
190C3⋊#95C2314yes—
191C3⋊#95C2314yes—
192C3⋊#95C2314yes—
193C3⋊#95C2314yes—
194C22×#41—31no—
195#529—68no—
196C2×#126—32no—
197C2×#125C2×D311yescharacteristic
198C2×#124—31no—
199C2×#123—32no—
200C2×C22⋊Q8—31no—
201C2×C22⋊Q8—32no—
202C2×#121—31no—
203C2×#121—32no—
204C4×#41—68no—
205C2×C4×Q8—31no—
206C2×C4×Q8—31no—
207C2×C4×Q8C2×D311yescharacteristic
208C2×C4×D4—32no—
209C2×C4×D4—31no—
210C2×C4×D4—32no—
211C2×C4×D4—34no—
212C2×C4×D4—31no—
213C2×C4×D4—31no—
214C2×C4×D4—32no—
215C2×#117—31no—
216C2×#117—32no—
217C2×#117—32no—
218C2×#117—32no—
219C22×C42—31no—
220C22×C42—32no—
221#400—32no—
222#399—32no—
223#398C2×D312yes—
224#397—32no—
225#397—34no—
226#395C2×D312yes—
227#394—32no—
228#394—34no—
229#394—34no—
230#393—32no—
231#392—34no—
232#392—32no—
233#391—32no—
234#390—34no—
235#390—32no—
236#390—34no—
237#389—34no—
238#389C2×D314yes—
239#389C2×D312yes—
240#389C2×D312yes—
241#388—34no—
242#388—34no—
243#388—34no—
244#388—34no—
245#388—34no—
246#387—34no—
247#386—34no—
248#385—34no—
249#380—32no—
250#380—32no—
251C4×C4⋊C4—34no—
252C4×C4⋊C4—32no—
253C4×C4⋊C4—31no—
254C4×C4⋊C4C2×D311yescharacteristic
255C4×C22⋊C4—32no—
256C4×C22⋊C4—32no—
257C4×C22⋊C4—34no—
258C4×C22⋊C4—34no—
259#376—32no—
260C43—32no—
261C23×D3C2412yes—
262C23×D3C2411yescharacteristic
263C23×D3C2412yes—
264C2×C3×Q8—22no—
265C2×C3×Q8—24no—
266C22×C3×C4C2412yes—
267C22×C3×C4C2412yes—
268C22×C3×C4C2412yes—
269C22×C3×C4C2411yescharacteristic
270C22×C3×C4C2411yescharacteristic
271C22×C3×C4C2412yes—
272C22×C3×C4C2414yes—
273C22×C3×C4C2411yescharacteristic
274C22×Dic3C2414yes—
275C22×Dic3C2412yes—
276C22×Dic3C2412yes—
277C22×Dic3C2411yescharacteristic
278C22×Dic3C2411yescharacteristic
279C22×Dic3C2411yescharacteristic
280#239—232no—
281C2×D12—24no—
282C2×D12—24no—
283C2×D12—24no—
284C2×D12—22no—
285C2×D12—24no—
286C2×D12—24no—
287C2×D12—28no—
288C2×D12—22no—
289C2×D12—28no—
290C2×D12—24no—
291C2×D12—44no—
292C2×D12—42no—
293C2×D12—42no—
294C2×C4×D3—24no—
295C2×C4×D3—24no—
296C2×C4×D3—24no—
297C2×C4×D3—24no—
298C2×C4×D3—24no—
299C2×C4×D3—24no—
300C2×C4×D3—24no—
301C2×C4×D3—24no—
302C2×C4×D3—24no—
303C2×C4×D3—28no—
304C2×C4×D3—41no—
305C2×C4×D3—41no—
306C2×C4×D3—42no—
307C2×C4×D3—42no—
308C2×C4×D3C2×D414yes—
309C2×C4×D3C2×D414yes—
310C2×C4×D3C2×D414yes—
311C2×C4×D3#4118yes—
312C2×Dic6—22no—
313C2×Dic6—24no—
314C3×C4⋊C4—22no—
315C3×C4⋊C4—24no—
316C3×C4⋊C4—22no—
317C3×C4⋊C4—24no—
318C3×C4⋊C4—22no—
319C3×C4⋊C4—24no—
320C3×C4⋊C4—28no—
321C3×C4⋊C4—44no—
322C3×C4⋊C4#4118yescomplemented
323C3×C42—24no—
324C3×C42—42no—
325C3×C42C2×D414yes—
326(C2×D3)⋊C4—24no—
327(C2×D3)⋊C4—24no—
328(C2×D3)⋊C4—28no—
329(C2×D3)⋊C4—24no—
330(C2×D3)⋊C4—24no—
331(C2×D3)⋊C4—24no—
332(C2×D3)⋊C4—28no—
333(C2×D3)⋊C4—28no—
334(C2×D3)⋊C4—28no—
335(C2×D3)⋊C4—28no—
336(C2×D3)⋊C4—24no—
337(C2×D3)⋊C4—24no—
338(C2×D3)⋊C4—24no—
339(C2×D3)⋊C4—44no—
340(C2×D3)⋊C4—44no—
341C4⋊Dic3—22no—
342C4⋊Dic3—24no—
343C4⋊Dic3—28no—
344C4⋊Dic3—24no—
345C4⋊Dic3—24no—
346Dic3⋊C4—24no—
347C4×Dic3—28no—
348C4×Dic3—24no—
349C4×Dic3—24no—
350C4×Dic3—24no—
351C4×Dic3—28no—
352C4×Dic3—42no—
353C4×Dic3C2×D414yes—
354C4×Dic3C2×D414yes—
355C4×Dic3C2×D414yes—
356C2×#41—64no—
357C2×#41—68no—
358C22×Q8—31no—
359C22×Q8C22×D311yescharacteristic
360C22×D4—31no—
361C22×D4—32no—
362C22×D4—31no—
363C22×D4—34no—
364C22×D4—32no—
365C23×C4—31no—
366C23×C4—31no—
367C23×C4—32no—
368C23×C4—31no—
369C23×C4—32no—
370C23×C4—32no—
371C23×C4—32no—
372#126—68no—
373#125—24no—
374#124—64no—
375#123—68no—
376C22⋊Q8—64no—
377C22⋊Q8—68no—
378#121—64no—
379#121—68no—
380C4×Q8—24no—
381C4×Q8—64no—
382C4×Q8—64no—
383C4×D4—68no—
384C4×D4—64no—
385C4×D4—64no—
386C4×D4—68no—
387C4×D4—68no—
388C4×D4—616no—
389C4×D4—64no—
390#117—68no—
391#117—68no—
392#117—64no—
393#117—68no—
394C2×C4⋊C4—32no—
395C2×C4⋊C4—31no—
396C2×C4⋊C4—32no—
397C2×C4⋊C4—32no—
398C2×C4⋊C4—32no—
399C2×C4⋊C4—34no—
400C2×C4⋊C4C22×D312yes—
401C2×C4⋊C4C22×D311yescharacteristic
402C2×C4⋊C4C22×D312yes—
403C2×C4⋊C4C22×D311yescharacteristic
404C2×C4⋊C4C22×D312yes—
405C2×C4⋊C4C22×D314yes—
406C2×C4⋊C4C22×D311yescharacteristic
407C2×C4⋊C4C22×D314yes—
408C2×C4⋊C4C22×D312yes—
409C2×C22⋊C4—32no—
410C2×C22⋊C4—32no—
411C2×C22⋊C4—32no—
412C2×C22⋊C4—32no—
413C2×C22⋊C4—32no—
414C2×C22⋊C4—34no—
415C2×C22⋊C4—32no—
416C2×C22⋊C4—32no—
417C2×C22⋊C4—32no—
418C2×C22⋊C4—34no—
419C2×C22⋊C4—34no—
420C2×C22⋊C4—34no—
421C2×C22⋊C4—34no—
422C2×C22⋊C4—34no—
423C2×C22⋊C4—34no—
424C2×C42—31no—
425C2×C42—31no—
426C2×C42—31no—
427C2×C42—38no—
428C2×C42—32no—
429C2×C42—32no—
430C2×C42—34no—
431C2×C42—32no—
432C2×C42—34no—
433C2×C42—32no—
434C2×C42—68no—
435C2×C42C22×D312yes—
436C2×C42C22×D312yes—
437C2×C42C22×D311yescharacteristic
438#95—34no—
439#95—32no—
440#95—34no—
441#95—34no—
442#95—34no—
443#95—34no—
444#95C22×D312yes—
445#95C22×D314yes—
446#95C22×D314yes—
447C23×C3C2511yescharacteristic
448C22×D3—22no—
449C22×D3—22no—
450C22×D3—22no—
451C22×D3—22no—
452C22×D3—22no—
453C22×D3—22no—
454C22×D3—22no—
455C22×D3—21no—
456C22×D3—22no—
457C22×D3—21no—
458C22×D3—22no—
459C22×D3—24no—
460C22×D3—24no—
461C22×D3—22no—
462C22×D3—22no—
463C22×D3C22×D412yes—
464C22×D3C2×#4114yes—
465C3×Q8—28no—
466C2×C3×C4—22no—
467C2×C3×C4—24no—
468C2×C3×C4—22no—
469C2×C3×C4—22no—
470C2×C3×C4—21no—
471C2×C3×C4—21no—
472C2×C3×C4—24no—
473C2×C3×C4—22no—
474C2×C3×C4—22no—
475C2×C3×C4—22no—
476C2×C3×C4—24no—
477C2×C3×C4—22no—
478C2×C3×C4—22no—
479C2×C3×C4—22no—
480C2×C3×C4—22no—
481C2×C3×C4C22×D412yes—
482C2×C3×C4C22×D412yes—
483C2×C3×C4C22×D412yes—
484C2×C3×C4C2×#4118yes—
485C2×C3×C4C2×#4114yes—
486C2×C3×C4C2×#4114yes—
487C2×Dic3—22no—
488C2×Dic3—21no—
489C2×Dic3—21no—
490C2×Dic3—22no—
491C2×Dic3—22no—
492C2×Dic3—24no—
493C2×Dic3—24no—
494C2×Dic3—22no—
495C2×Dic3—24no—
496C2×Dic3—22no—
497C2×Dic3—24no—
498C2×Dic3C22×D412yes—
499C2×Dic3C22×D412yes—
500C2×Dic3C22×D412yes—
501C2×Dic3C2×#4114yes—
502D12—28no—
503D12—216no—
504D12—416no—
505D12—48no—
506D12—44no—
507C4×D3—28no—
508C4×D3—28no—
509C4×D3—216no—
510C4×D3—44no—
511C4×D3—48no—
512C4×D3—48no—
513C4×D3—48no—
514Dic6—44no—
515C24—31no—
516C24—32no—
517C24—32no—
518#41—632no—
519C2×Q8—22no—
520C2×Q8—24no—
521C2×Q8—62no—
522C2×Q8—64no—
523C2×D4—64no—
524C2×D4—64no—
525C2×D4—64no—
526C2×D4—64no—
527C2×D4—68no—
528C2×D4—62no—
529C2×D4—62no—
530C2×D4—68no—
531C2×D4—64no—
532C2×D4—64no—
533C2×D4—124no—
534C2×D4—122no—
535C2×D4—122no—
536C22×C4—31no—
537C22×C4—31no—
538C22×C4—31no—
539C22×C4—34no—
540C22×C4—34no—
541C22×C4—38no—
542C22×C4—34no—
543C22×C4—34no—
544C22×C4—32no—
545C22×C4—32no—
546C22×C4—64no—
547C22×C4—64no—
548C22×C4—64no—
549C22×C4—64no—
550C22×C4—64no—
551C22×C4—68no—
552C22×C4—64no—
553C22×C4—64no—
554C22×C4—64no—
555C22×C4—64no—
556C22×C4—121no—
557C22×C4—121no—
558C22×C4—122no—
559C22×C4—122no—
560C22×C4C23×D312yes—
561C22×C4C23×D312yes—
562C22×C4C23×D312yes—
563C22×C4C23×D311yescharacteristic
564C22×C4C23×D311yescharacteristic
565C22×C4C23×D314yes—
566C22×C4C23×D312yes—
567C22×C4C23×D311yescharacteristic
568C4⋊C4—24no—
569C4⋊C4—22no—
570C4⋊C4—24no—
571C4⋊C4—22no—
572C4⋊C4—24no—
573C4⋊C4—22no—
574C4⋊C4—28no—
575C4⋊C4—44no—
576C4⋊C4—64no—
577C4⋊C4—64no—
578C4⋊C4—64no—
579C4⋊C4—62no—
580C4⋊C4—64no—
581C4⋊C4—68no—
582C4⋊C4#23918yescomplemented
583C22⋊C4—64no—
584C22⋊C4—64no—
585C22⋊C4—64no—
586C22⋊C4—64no—
587C22⋊C4—64no—
588C22⋊C4—68no—
589C22⋊C4—64no—
590C22⋊C4—64no—
591C22⋊C4—64no—
592C22⋊C4—68no—
593C22⋊C4—68no—
594C22⋊C4—68no—
595C22⋊C4—68no—
596C22⋊C4—124no—
597C22⋊C4—124no—
598C42—24no—
599C42—34no—
600C42—34no—
601C42—34no—
602C42—42no—
603C42—64no—
604C42—64no—
605C42—64no—
606C42—68no—
607C42—68no—
608C42—122no—
609C42D3×D414yes—
610C22×C3C23×D411yescharacteristic
611C22×C3C22×#4112yes—
612C22×C3C22×#4112yes—
613C22×C3#58511yescharacteristic
614C22×C3#58511yescharacteristic
615C2×D3—22no—
616C2×D3—24no—
617C2×D3—22no—
618C2×D3—22no—
619C2×D3—24no—
620C2×D3—24no—
621C2×D3—42no—
622C2×D3—42no—
623C2×D3—42no—
624C2×D3—42no—
625C2×D3—42no—
626C2×D3—42no—
627C2×D3—42no—
628C2×D3—42no—
629C2×D3—42no—
630C2×D3—44no—
631C2×D3—44no—
632C3×C4—22no—
633C3×C4—24no—
634C3×C4—22no—
635C3×C4—28no—
636C3×C4—42no—
637C3×C4—42no—
638C3×C4—42no—
639C3×C4#53214yes—
640Dic3—22no—
641Dic3—22no—
642Dic3—42no—
643Dic3—42no—
644Dic3—44no—
645Dic3#52514yes—
646C23—32no—
647C23—34no—
648C23—62no—
649C23—62no—
650C23—62no—
651C23—62no—
652C23—62no—
653C23—62no—
654C23—61no—
655C23—62no—
656C23—62no—
657C23—61no—
658C23—62no—
659C23—64no—
660C23—64no—
661C23—62no—
662C23—62no—
663C23C24×D311yescharacteristic
664Q8—28no—
665Q8—124no—
666D4—68no—
667D4—616no—
668D4—1216no—
669D4—128no—
670D4—124no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—21no—
676C2×C4—24no—
677C2×C4—21no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—24no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—32no—
687C2×C4—34no—
688C2×C4—32no—
689C2×C4—32no—
690C2×C4—68no—
691C2×C4—616no—
692C2×C4—62no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—68no—
696C2×C4—62no—
697C2×C4—62no—
698C2×C4—64no—
699C2×C4—62no—
700C2×C4—64no—
701C2×C4—62no—
702C2×C4—64no—
703C2×C4—64no—
704C2×C4—124no—
705C2×C4—128no—
706C2×C4—128no—
707C2×C4—128no—
708C2×C4C2×D3×D412yes—
709C2×C4C2×D3×D412yes—
710C2×C4C2×D3×D412yes—
711C2×C4C2×#23918yes—
712C2×C4C2×#23914yes—
713C2×C4D3×#4114yes—
714C2×C3C2×#52511yescharacteristic
715C2×C3C2×#53211yescharacteristic
716C2×C3#344911yescharacteristic
717C2×C3#347512yes—
718C2×C3#348012yes—
719D3—42no—
720D3—44no—
721D3—82no—
722C22—62no—
723C22—64no—
724C22—62no—
725C22—64no—
726C22—62no—
727C22—64no—
728C22—122no—
729C22—122no—
730C22—122no—
731C22—122no—
732C22—122no—
733C22—122no—
734C22—122no—
735C22—122no—
736C22—124no—
737C22—122no—
738C22—124no—
739C22C22×D3×D411yescharacteristic
740C22C22×#23912yes—
741C22C2×D3×#4112yes—
742C22#596611yescharacteristic
743C22#596811yescharacteristic
744C4—22no—
745C4—24no—
746C4—22no—
747C4—28no—
748C4—34no—
749C4—42no—
750C4—42no—
751C4—42no—
752C4—62no—
753C4—62no—
754C4—122no—
755C4—122no—
756C4—124no—
757C4#572514yes—
758C3#3491111yescharacteristic, complemented, Sylow
759C2—122no—
760C2—124no—
761C2—242no—
762C2D3×#52511yescharacteristic
763C2C2×#572511yescharacteristic
764C2#8636311yescharacteristic
765C2#8692212yes—
766C2#8701612yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2584C2
hypercenter#2584D3
hypocenterC3#34911
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2584

Complements

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

NH ≅ G/Ntype
1. C2×#5691C2semidirect
2. C2×C4×#239C2semidirect
3. C3×#2584C2semidirect
4. #83063C2semidirect
5. #82484C2semidirect
6. #77812C2semidirect
7. #77738C2semidirect
8. #77197C2semidirect
9. #77169C2semidirect
10. #76210C2semidirect
11. #76209C2semidirect
12. #76096C2semidirect
13. #75965C2semidirect
14. #75964C2semidirect
15. #75961C2semidirect
16. #73798C2semidirect
17. C4×#892C2semidirect
92. #2584D3semidirect
184. C42×D3D4semidirect
322. C3×C4⋊C4#41semidirect
582. C4⋊C4#239semidirect
758. C3#34911semidirect

Maximal subgroups

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

subgroupindex
C2×#56912
C2×C4×#2392
C3×#25842
#830632
#824842
#778122
#777382
#771972
#771692
#762102
#762092
#760962
#759652
#759642
#759612
#737982
C4×#8922
#349113