Finite Group Databasebeta

← #10967588

Subgroups — #10967588

Order 768.

2630 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D3×Q8C211yesmaximal, characteristic, complemented
2C2×C4×#239C211yesmaximal, characteristic
3C3×#2581C211yesmaximal, characteristic, complemented
4#82499C211yesmaximal, characteristic, complemented
5#82480C211yesmaximal, characteristic, complemented
6#78345C212yesmaximal, complemented
7#78131C212yesmaximal, complemented
8#77249C212yesmaximal
9#77171C212yesmaximal, complemented
10#76619C212yesmaximal, complemented
11#76479C212yesmaximal, complemented
12#76231C212yesmaximal, complemented
13#75965C212yesmaximal, complemented
14#75125C214yesmaximal, complemented
15#74940C214yesmaximal, complemented
16#74240C211yesmaximal, characteristic, complemented
17#74147C211yesmaximal, characteristic, complemented
18#34971—31nomaximal, Sylow
19C22×#239C2211yescharacteristic
20C22×D3×Q8C2211yescharacteristic
21C2×C3×C4×Q8C2211yescharacteristic
22C2×C3×C4×Q8C2211yescharacteristic
23C2×#946C2212yes—
24C2×Q8×Dic3C2211yescharacteristic
25C2×Q8×Dic3C2211yescharacteristic
26C4×#239—28no—
27C4×D3×Q8—28no—
28C2×#897C2212yes—
29C2×#894C2214yes—
30C2×#893C2211yescharacteristic
31C2×#893C2212yes—
32C2×#892C2211yescharacteristic
33C2×#892C2212yes—
34C2×D3×C4⋊C4C2212yes—
35C2×D3×C4⋊C4C2211yescharacteristic
36C2×#887C2212yes—
37C2×#887C2211yescharacteristic
38C2×C4×D12C2211yescharacteristic
39C2×C4×D12C2212yes—
40C2×C42×D3C2212yes—
41C2×C42×D3C2212yes—
42C2×C42×D3C2211yescharacteristic
43C2×C4×Dic6C2211yescharacteristic
44C2×C4×Dic6C2212yes—
45C3×#400C2212yes—
46C3×#395C2212yes—
47C3×#391C2212yes—
48C3×#389C2212yes—
49C3×#387C2214yes—
50C3×#382C2211yescharacteristic
51#5230C2212yes—
52#4991C2212yes—
53#4989C2214yes—
54#4987C2212yes—
55#4987C2212yes—
56#4987C2212yes—
57#4985C2212yes—
58#4982C2214yes—
59#4981C2212yes—
60#4978C2214yes—
61Dic3×C4⋊C4C2214yes—
62Dic3×C4⋊C4C2212yes—
63#4940C2214yes—
64#4936C2211yescharacteristic
65#4929C2212yes—
66#4928C2212yes—
67#4675C2214yes—
68#4673C2214yes—
69#4672C2212yes—
70#4670C2214yes—
71#4668C2214yes—
72#4668C2214yes—
73#4666C2214yes—
74#4666C2214yes—
75#4666C2212yes—
76#4665C2214yes—
77#4664C2212yes—
78#4664C2214yes—
79#4661C2212yes—
80#4656C2214yes—
81#4655C2214yes—
82#4654C2214yes—
83#4651C2212yes—
84#4649C2214yes—
85#4648C2212yes—
86C2×C4×#41—31no—
87C22×C4×Q8—31no—
88#2599—34no—
89#2581—31no—
90#2581D311yescharacteristic, complemented
91#2536—31no—
92#2536—31no—
93#2486—32no—
94#2484—32no—
95#2409—32no—
96#2406—32no—
97#2399—32no—
98#2398—32no—
99C4×C22⋊Q8—32no—
100C4×C22⋊Q8—32no—
101C4×#123—34no—
102#2283—31no—
103C22×C3×Q8C2311yescharacteristic
104C22×C3×Q8C2311yescharacteristic
105C2×#239—28no—
106C2×#239—24no—
107C2×D3×Q8—24no—
108C2×D3×Q8—24no—
109C2×D3×Q8—24no—
110C22×D12C2311yescharacteristic
111C22×D12C2312yes—
112C22×C4×D3C2312yes—
113C22×C4×D3C2312yes—
114C22×C4×D3C2312yes—
115C22×C4×D3C2312yes—
116C22×C4×D3C2312yes—
117C22×C4×D3C2311yescharacteristic
118C22×C4×D3C2311yescharacteristic
119C22×C4×D3C2311yescharacteristic
120C22×Dic6C2312yes—
121C22×Dic6C2311yescharacteristic
122C3×C4×Q8—24no—
123C3×C4×Q8—24no—
124C2×C3×C4⋊C4C2314yes—
125C2×C3×C4⋊C4C2312yes—
126C2×C3×C4⋊C4C2312yes—
127C2×C3×C4⋊C4C2312yes—
128C2×C3×C4⋊C4C2311yescharacteristic
129C2×C3×C4⋊C4C2311yescharacteristic
130C2×C3×C42C2312yes—
131C2×C3×C42C2312yes—
132C2×C3×C42C2311yescharacteristic
133#946—28no—
134Q8×Dic3—24no—
135Q8×Dic3—24no—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2314yes—
139C2×(C2×D3)⋊C4C2314yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×(C2×D3)⋊C4C2314yes—
142C2×(C2×D3)⋊C4C2312yes—
143C2×(C2×D3)⋊C4C2312yes—
144C2×C4⋊Dic3C2314yes—
145C2×C4⋊Dic3C2312yes—
146C2×C4⋊Dic3C2312yes—
147C2×C4⋊Dic3C2311yescharacteristic
148C2×C4⋊Dic3C2311yescharacteristic
149C2×C4⋊Dic3C2312yes—
150C2×Dic3⋊C4C2314yes—
151C2×Dic3⋊C4C2314yes—
152C2×Dic3⋊C4C2312yes—
153C2×Dic3⋊C4C2312yes—
154C2×Dic3⋊C4C2312yes—
155C2×C4×Dic3C2314yes—
156C2×C4×Dic3C2312yes—
157C2×C4×Dic3C2312yes—
158C2×C4×Dic3C2312yes—
159C2×C4×Dic3C2312yes—
160C2×C4×Dic3C2312yes—
161C2×C4×Dic3C2311yescharacteristic
162C2×C4×Dic3C2311yescharacteristic
163C2×C4×Dic3C2311yescharacteristic
164#897—28no—
165#894—216no—
166#893—28no—
167#893—24no—
168#892—24no—
169#892—28no—
170D3×C4⋊C4—28no—
171D3×C4⋊C4—24no—
172#887—24no—
173#887—28no—
174C4×D12—28no—
175C4×D12—24no—
176C42×D3—28no—
177C42×D3—28no—
178C42×D3D418yes—
179C4×Dic6—24no—
180C4×Dic6—28no—
181C3×#95C2312yes—
182C3×#95C2314yes—
183C3×#95C2312yes—
184C3×#95C2314yes—
185C3×#95C2314yes—
186C3⋊#95C2314yes—
187C3⋊#95C2312yes—
188C3⋊#95C2314yes—
189C3⋊#95C2314yes—
190C3⋊#95C2312yes—
191C3⋊#95C2314yes—
192C3⋊#95C2314yes—
193C3⋊#95C2314yes—
194C3⋊#95C2314yes—
195C22×#41—31no—
196C23×Q8—31no—
197C2×#123—34no—
198C2×C22⋊Q8—32no—
199C2×C22⋊Q8—32no—
200C4×#41—68no—
201C2×C4×Q8—31no—
202C2×C4×Q8—31no—
203C2×C4×Q8—32no—
204C2×C4×Q8—31no—
205C2×C4×Q8—31no—
206C2×C4×Q8—32no—
207C2×C4×Q8—68no—
208C2×C4×Q8C2×D311yescharacteristic
209C2×C4×Q8C2×D311yescharacteristic
210C2×C4×D4—31no—
211C2×C4×D4—32no—
212C2×C4×D4—32no—
213C2×C4×D4—31no—
214C2×#117—32no—
215C2×#117—31no—
216C22×C4⋊C4—32no—
217C22×C4⋊C4—31no—
218C22×C42—31no—
219C22×C42—32no—
220C22×C42—32no—
221#400—32no—
222#400C2×D312yes—
223#398—34no—
224#398—32no—
225#398—32no—
226#397—34no—
227#395—32no—
228#395—34no—
229#395C2×D312yes—
230#394—32no—
231#394—32no—
232#393—34no—
233#391—32no—
234#391C2×D312yes—
235#389—32no—
236#389C2×D312yes—
237#388—34no—
238#388—34no—
239#387—34no—
240#387—34no—
241#387—34no—
242#387C2×D314yes—
243#386—34no—
244#385—34no—
245#385—34no—
246#385—34no—
247#383—32no—
248#382—31no—
249#382C2×D311yescharacteristic
250#381—32no—
251#381—34no—
252#380—32no—
253#380—32no—
254#380—32no—
255C4×C4⋊C4—34no—
256C4×C4⋊C4—32no—
257C4×C4⋊C4—34no—
258C4×C22⋊C4—34no—
259C4×C22⋊C4—34no—
260C4×C22⋊C4—32no—
261#376—32no—
262C23×D3C2412yes—
263C23×D3C2411yescharacteristic
264C2×C3×Q8—22no—
265C2×C3×Q8—22no—
266C2×C3×Q8—22no—
267C2×C3×Q8—24no—
268C2×C3×Q8#4114yescomplemented
269C22×C3×C4C2412yes—
270C22×C3×C4C2414yes—
271C22×C3×C4C2412yes—
272C22×C3×C4C2411yescharacteristic
273C22×C3×C4C2411yescharacteristic
274C22×C3×C4C2412yes—
275C22×C3×C4C2412yes—
276C22×C3×C4C2411yescharacteristic
277C22×Dic3C2414yes—
278C22×Dic3C2412yes—
279C22×Dic3C2412yes—
280C22×Dic3C2411yescharacteristic
281C22×Dic3C2411yescharacteristic
282C22×Dic3C2412yes—
283C22×Dic3C2411yescharacteristic
284#239—232no—
285D3×Q8—232no—
286C2×D12—24no—
287C2×D12—24no—
288C2×D12—24no—
289C2×D12—22no—
290C2×D12#4118yes—
291C2×C4×D3—24no—
292C2×C4×D3—24no—
293C2×C4×D3—24no—
294C2×C4×D3—24no—
295C2×C4×D3—22no—
296C2×C4×D3—22no—
297C2×C4×D3—24no—
298C2×C4×D3—24no—
299C2×C4×D3—24no—
300C2×C4×D3—24no—
301C2×C4×D3—24no—
302C2×C4×D3—28no—
303C2×C4×D3—24no—
304C2×C4×D3—24no—
305C2×C4×D3—24no—
306C2×C4×D3—24no—
307C2×C4×D3—24no—
308C2×C4×D3—24no—
309C2×C4×D3C2×D414yes—
310C2×C4×D3C2×D414yes—
311C2×C4×D3C2×D414yes—
312C2×Dic6—22no—
313C2×Dic6—24no—
314C2×Dic6—22no—
315C2×Dic6—24no—
316C2×Dic6—24no—
317C2×Dic6#4114yescomplemented
318C3×C4⋊C4—24no—
319C3×C4⋊C4—22no—
320C3×C4⋊C4—24no—
321C3×C4⋊C4—22no—
322C3×C4⋊C4—28no—
323C3×C4⋊C4—24no—
324C3×C42—24no—
325C3×C42—24no—
326C3×C42C2×D414yes—
327(C2×D3)⋊C4—24no—
328(C2×D3)⋊C4—28no—
329(C2×D3)⋊C4—28no—
330(C2×D3)⋊C4—28no—
331(C2×D3)⋊C4—24no—
332(C2×D3)⋊C4—28no—
333(C2×D3)⋊C4—24no—
334(C2×D3)⋊C4—28no—
335C4⋊Dic3—22no—
336C4⋊Dic3—22no—
337C4⋊Dic3—24no—
338C4⋊Dic3—24no—
339C4⋊Dic3—24no—
340C4⋊Dic3—28no—
341Dic3⋊C4—24no—
342Dic3⋊C4—28no—
343Dic3⋊C4—28no—
344Dic3⋊C4—24no—
345Dic3⋊C4—24no—
346C4×Dic3—24no—
347C4×Dic3—24no—
348C4×Dic3—24no—
349C4×Dic3—24no—
350C4×Dic3—24no—
351C4×Dic3—28no—
352C4×Dic3C2×D414yes—
353C4×Dic3C2×D414yes—
354C4×Dic3C2×D414yes—
355C2×#41—64no—
356C2×#41—68no—
357C22×Q8—31no—
358C22×Q8—32no—
359C22×Q8—64no—
360C22×Q8—64no—
361C22×Q8—64no—
362C22×Q8C22×D311yescharacteristic
363C22×Q8C22×D311yescharacteristic
364C22×D4—32no—
365C22×D4—31no—
366C23×C4—31no—
367C23×C4—31no—
368C23×C4—31no—
369C23×C4—32no—
370C23×C4—32no—
371C23×C4—32no—
372C23×C4—32no—
373C23×C4—32no—
374#123—616no—
375C22⋊Q8—68no—
376C22⋊Q8—68no—
377C4×Q8—24no—
378C4×Q8—24no—
379C4×Q8—68no—
380C4×Q8—64no—
381C4×Q8—68no—
382C4×Q8—64no—
383C4×Q8—64no—
384C4×Q8—64no—
385C4×D4—68no—
386C4×D4—64no—
387C4×D4—68no—
388C4×D4—64no—
389#117—68no—
390#117—64no—
391C2×C4⋊C4—31no—
392C2×C4⋊C4—32no—
393C2×C4⋊C4—32no—
394C2×C4⋊C4—32no—
395C2×C4⋊C4—32no—
396C2×C4⋊C4—32no—
397C2×C4⋊C4—31no—
398C2×C4⋊C4—32no—
399C2×C4⋊C4—34no—
400C2×C4⋊C4—34no—
401C2×C4⋊C4—34no—
402C2×C4⋊C4—64no—
403C2×C4⋊C4—68no—
404C2×C4⋊C4C22×D311yescharacteristic
405C2×C4⋊C4C22×D312yes—
406C2×C4⋊C4C22×D312yes—
407C2×C4⋊C4C22×D311yescharacteristic
408C2×C4⋊C4C22×D312yes—
409C2×C4⋊C4C22×D314yes—
410C2×C22⋊C4—32no—
411C2×C22⋊C4—32no—
412C2×C22⋊C4—32no—
413C2×C22⋊C4—34no—
414C2×C22⋊C4—34no—
415C2×C22⋊C4—34no—
416C2×C22⋊C4—34no—
417C2×C22⋊C4—34no—
418C2×C42—31no—
419C2×C42—31no—
420C2×C42—31no—
421C2×C42—38no—
422C2×C42—32no—
423C2×C42—32no—
424C2×C42—32no—
425C2×C42—32no—
426C2×C42—32no—
427C2×C42—34no—
428C2×C42—68no—
429C2×C42—68no—
430C2×C42C22×D312yes—
431C2×C42C22×D312yes—
432C2×C42C22×D311yescharacteristic
433#95—34no—
434#95—32no—
435#95—34no—
436#95—32no—
437#95—34no—
438#95—34no—
439#95—34no—
440#95—34no—
441#95—34no—
442#95C22×D312yes—
443#95C22×D314yes—
444#95C22×D312yes—
445#95C22×D314yes—
446#95C22×D314yes—
447C23×C3C2511yescharacteristic
448C22×D3—21no—
449C22×D3—21no—
450C22×D3—22no—
451C22×D3—22no—
452C22×D3—22no—
453C22×D3—22no—
454C22×D3—22no—
455C22×D3—22no—
456C22×D3—22no—
457C22×D3C22×D412yes—
458C22×D3C2×#4114yes—
459C22×D3C2×#4114yes—
460C3×Q8—28no—
461C3×Q8—28no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—22no—
465C2×C3×C4—22no—
466C2×C3×C4—22no—
467C2×C3×C4—22no—
468C2×C3×C4—22no—
469C2×C3×C4—22no—
470C2×C3×C4—24no—
471C2×C3×C4—24no—
472C2×C3×C4—24no—
473C2×C3×C4—24no—
474C2×C3×C4—22no—
475C2×C3×C4—22no—
476C2×C3×C4C22×D412yes—
477C2×C3×C4C22×D412yes—
478C2×C3×C4C22×D412yes—
479C2×C3×C4C2×#4114yes—
480C2×C3×C4C2×#4112yes—
481C2×C3×C4C2×#4114yes—
482C2×C3×C4C2×#4112yes—
483C2×Dic3—22no—
484C2×Dic3—21no—
485C2×Dic3—22no—
486C2×Dic3—21no—
487C2×Dic3—22no—
488C2×Dic3—22no—
489C2×Dic3—22no—
490C2×Dic3—22no—
491C2×Dic3—24no—
492C2×Dic3—24no—
493C2×Dic3—24no—
494C2×Dic3—22no—
495C2×Dic3—24no—
496C2×Dic3C22×D412yes—
497C2×Dic3C22×D412yes—
498C2×Dic3C22×D412yes—
499C2×Dic3C2×#4114yes—
500C2×Dic32−1+414yes—
501D12—28no—
502D12—216no—
503C4×D3—216no—
504C4×D3—216no—
505C4×D3—28no—
506C4×D3—28no—
507C4×D3—28no—
508C4×D3—48no—
509C4×D3—48no—
510C4×D3—48no—
511Dic6—216no—
512Dic6—28no—
513C24—31no—
514C24—32no—
515#41—632no—
516C2×Q8—22no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—24no—
520C2×Q8—34no—
521C2×Q8—64no—
522C2×Q8—64no—
523C2×Q8—632no—
524C2×Q8—62no—
525C2×Q8—64no—
526C2×Q8—62no—
527C2×Q8#23914yescomplemented
528C2×D4—38no—
529C2×D4—64no—
530C2×D4—64no—
531C2×D4—64no—
532C2×D4—62no—
533C22×C4—31no—
534C22×C4—31no—
535C22×C4—31no—
536C22×C4—32no—
537C22×C4—34no—
538C22×C4—34no—
539C22×C4—34no—
540C22×C4—34no—
541C22×C4—32no—
542C22×C4—32no—
543C22×C4—64no—
544C22×C4—64no—
545C22×C4—64no—
546C22×C4—64no—
547C22×C4—64no—
548C22×C4—64no—
549C22×C4—64no—
550C22×C4—64no—
551C22×C4—64no—
552C22×C4—64no—
553C22×C4—68no—
554C22×C4—64no—
555C22×C4—62no—
556C22×C4—62no—
557C22×C4—64no—
558C22×C4—64no—
559C22×C4—64no—
560C22×C4—64no—
561C22×C4C23×D312yes—
562C22×C4C23×D314yes—
563C22×C4C23×D312yes—
564C22×C4C23×D311yescharacteristic
565C22×C4C23×D311yescharacteristic
566C22×C4C23×D312yes—
567C22×C4C23×D312yes—
568C22×C4C23×D311yescharacteristic
569C4⋊C4—24no—
570C4⋊C4—22no—
571C4⋊C4—24no—
572C4⋊C4—22no—
573C4⋊C4—24no—
574C4⋊C4—28no—
575C4⋊C4—64no—
576C4⋊C4—64no—
577C4⋊C4—64no—
578C4⋊C4—64no—
579C4⋊C4—68no—
580C4⋊C4—64no—
581C4⋊C4—62no—
582C4⋊C4—62no—
583C4⋊C4—68no—
584C4⋊C4—64no—
585C4⋊C4—68no—
586C22⋊C4—64no—
587C22⋊C4—68no—
588C22⋊C4—64no—
589C22⋊C4—68no—
590C22⋊C4—68no—
591C22⋊C4—68no—
592C22⋊C4—64no—
593C22⋊C4—68no—
594C42—24no—
595C42—24no—
596C42—34no—
597C42—34no—
598C42—34no—
599C42—64no—
600C42—64no—
601C42—64no—
602C42—64no—
603C42—68no—
604C42—64no—
605C42D3×D414yes—
606C22×C3C23×D411yescharacteristic
607C22×C3C22×#4111yescharacteristic
608C22×C3C22×#4112yes—
609C22×C3C22×#4111yescharacteristic
610C22×C3C2×2−1+412yes—
611C2×D3—22no—
612C2×D3—22no—
613C2×D3—24no—
614C2×D3—24no—
615C2×D3—24no—
616C2×D3—24no—
617C2×D3—24no—
618C2×D3—42no—
619C2×D3—42no—
620C2×D3—42no—
621C2×D3—42no—
622C2×D3#52514yes—
623C3×C4—24no—
624C3×C4—22no—
625C3×C4—24no—
626C3×C4—22no—
627C3×C4—42no—
628C3×C4—42no—
629C3×C4—44no—
630C3×C4#52514yes—
631Dic3—22no—
632Dic3—24no—
633Dic3—22no—
634Dic3—42no—
635Dic3—42no—
636Dic3—44no—
637Dic3#53614yes—
638C23—32no—
639C23—34no—
640C23—34no—
641C23—61no—
642C23—61no—
643C23—62no—
644C23—62no—
645C23—62no—
646C23—62no—
647C23—62no—
648C23—62no—
649C23—62no—
650C23C24×D311yescharacteristic
651Q8—28no—
652Q8—28no—
653Q8—616no—
654Q8—68no—
655D4—616no—
656D4—68no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—32no—
672C2×C4—34no—
673C2×C4—32no—
674C2×C4—32no—
675C2×C4—34no—
676C2×C4—68no—
677C2×C4—68no—
678C2×C4—616no—
679C2×C4—616no—
680C2×C4—62no—
681C2×C4—61no—
682C2×C4—62no—
683C2×C4—62no—
684C2×C4—61no—
685C2×C4—68no—
686C2×C4—62no—
687C2×C4—62no—
688C2×C4—64no—
689C2×C4—62no—
690C2×C4—64no—
691C2×C4—64no—
692C2×C4—62no—
693C2×C4—64no—
694C2×C4—128no—
695C2×C4—128no—
696C2×C4—128no—
697C2×C4C2×D3×D412yes—
698C2×C4C2×D3×D412yes—
699C2×C4C2×D3×D412yes—
700C2×C4C2×#23914yes—
701C2×C4C2×#23912yes—
702C2×C4D3×#4114yes—
703C2×C4D3×#4112yes—
704C2×C3C2×#52511yescharacteristic
705C2×C3C2×#52511yescharacteristic
706C2×C3C2×#53611yescharacteristic
707C2×C3#348212yes—
708C2×C3#348212yes—
709D3—24no—
710D3—44no—
711C22—34no—
712C22—62no—
713C22—62no—
714C22—64no—
715C22—64no—
716C22—64no—
717C22—64no—
718C22—64no—
719C22—122no—
720C22—122no—
721C22—122no—
722C22—122no—
723C22C22×D3×D411yescharacteristic
724C22C22×#23911yescharacteristic
725C22C2×D3×#4112yes—
726C22C2×D3×#4111yescharacteristic
727C22D3×2−1+412yes—
728C4—22no—
729C4—24no—
730C4—22no—
731C4—24no—
732C4—34no—
733C4—42no—
734C4—42no—
735C4—44no—
736C4—62no—
737C4—62no—
738C4—64no—
739C4—122no—
740C4—122no—
741C4—124no—
742C4#562714yes—
743C3#3497111yescharacteristic, complemented, Sylow
744C2—64no—
745C2—124no—
746C2C2×#562711yescharacteristic
747C2D3×#52511yescharacteristic
748C2D3×#53611yescharacteristic
749C2#8698112yes—
750C2#8701712yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2581C2
prime radicalC22×#239C22
hypercenter#2581D3
hypocenterC3#34971
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2581

Complements

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

NH ≅ G/Ntype
1. C2×C4×D3×Q8C2semidirect
3. C3×#2581C2semidirect
4. #82499C2semidirect
5. #82480C2semidirect
6. #78345C2semidirect
7. #78131C2semidirect
9. #77171C2semidirect
10. #76619C2semidirect
11. #76479C2semidirect
12. #76231C2semidirect
13. #75965C2semidirect
14. #75125C2semidirect
15. #74940C2semidirect
16. #74240C2semidirect
17. #74147C2semidirect
90. #2581D3semidirect
268. C2×C3×Q8#41semidirect
317. C2×Dic6#41semidirect
527. C2×Q8#239semidirect
743. C3#34971semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D3×Q82
C2×C4×#2392
C3×#25812
#824992
#824802
#783452
#781312
#772492
#771712
#766192
#764792
#762312
#759652
#751252
#749402
#742402
#741472
#349713