Finite Group Databasebeta

← #10834034

Subgroups — #10834034

Order 768.

1056 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2625C211yesmaximal, characteristic, complemented
2C2×#5046C211yesmaximal, characteristic
3#82269C211yesmaximal, characteristic
4C2×#5000C211yesmaximal, characteristic, complemented
5#71693C211yesmaximal, characteristic, complemented
6#69680C211yesmaximal, characteristic, complemented
7#69680C211yesmaximal, characteristic, complemented
8#69679C211yesmaximal, characteristic, complemented
9#69676C211yesmaximal, characteristic, complemented
10#69630C211yesmaximal, characteristic, complemented
11#69629C211yesmaximal, characteristic, complemented
12#69617C211yesmaximal, characteristic, complemented
13#69615C211yesmaximal, characteristic, complemented
14#69521C211yesmaximal, characteristic
15#69506C211yesmaximal, characteristic, complemented
16#24516—31nomaximal, Sylow
17C23×D12C2211yescharacteristic
18C2×C3×C22⋊Q8C2211yescharacteristic
19C2×C3×#117C2211yescharacteristic
20C22×#215C2211yescharacteristic
21C22×#215C2211yescharacteristic
22C2×#926C2211yescharacteristic
23C3×#400—21no—
24C3×#398—21no—
25C3×#397—21no—
26C3×#397—21no—
27C3×#391C2211yescharacteristic, complemented
28C3×#391C2211yescharacteristic, complemented
29C3×#389C2211yescharacteristic, complemented
30C3×#389C2211yescharacteristic, complemented
31C3×#380C2211yescharacteristic
32C2×#835C2211yescharacteristic, complemented
33C2×#835C2211yescharacteristic, complemented
34C2×#830C2211yescharacteristic
35C2×#830C2211yescharacteristic
36#5046—24no—
37#5000—24no—
38#4988—21no—
39#4988—21no—
40C2×#809C2211yescharacteristic
41C2×#809C2211yescharacteristic
42C2×#809C2211yescharacteristic
43C2×#809C2211yescharacteristic
44C2×#809C2211yescharacteristic
45C2×#809C2211yescharacteristic
46C2×#808C2211yescharacteristic, complemented
47C2×#807C2211yescharacteristic, complemented
48#4955—21no—
49#4955—21no—
50#4939C2211yescharacteristic
51#4939C2211yescharacteristic
52#4939C2211yescharacteristic
53#4939C2211yescharacteristic
54C2×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
55C2×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
56C2×#803C2211yescharacteristic, complemented
57C2×C4×C3⋊C8C2211yescharacteristic, complemented
58#4529C2211yescharacteristic, complemented
59#4529C2211yescharacteristic, complemented
60#4529C2211yescharacteristic, complemented
61#4529C2211yescharacteristic, complemented
62C2×#450—31no—
63C2×#433—31no—
64#2625D311yescharacteristic, complemented
65#2309—31no—
66#2067—31no—
67#2065—31no—
68#2055—31no—
69#2055—31no—
70#1973—31no—
71#1968—31no—
72#1936—31no—
73#1934—31no—
74#1873—31no—
75#1854—31no—
76#1786—31no—
77C24×D3—21no—
78C22×C3×Q8C2311yescharacteristic
79C23×C3×C4C2311yescharacteristic
80C22×D12—21no—
81C22×D12—22no—
82C22×D12—22no—
83C22×D12—22no—
84C22×D12—22no—
85C22×D12—41no—
86C22×D12—41no—
87C22×D12C2311yescharacteristic
88C22×D12C2311yescharacteristic
89C3×C22⋊Q8—22no—
90C3×C22⋊Q8—22no—
91C3×#117—22no—
92C3×#117—22no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4D411yescharacteristic
97C2×C3×C4⋊C4D411yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C22⋊C4—21no—
102C2×C3×C22⋊C4—21no—
103C2×C3×C22⋊C4D411yescharacteristic
104C2×C3×C22⋊C4D411yescharacteristic
105C2×C3×C42C2311yescharacteristic
106C2×C3×C42C2311yescharacteristic
107C2×#217—21no—
108C2×#215—22no—
109C2×#215—22no—
110C2×#215—22no—
111C2×#215—22no—
112C2×#215—41no—
113C2×#215—41no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4—21no—
118C2×(C2×D3)⋊C4—21no—
119C2×(C2×D3)⋊C4—21no—
120C2×(C2×D3)⋊C4—21no—
121C2×(C2×D3)⋊C4—21no—
122#926—41no—
123#926—41no—
124C2×C4⋊Dic3C2311yescharacteristic
125C2×C4⋊Dic3C2311yescharacteristic
126C2×C4×Dic3—21no—
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C3×#95—21no—
132C3×#95—21no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138#835—41no—
139#835—41no—
140#830—22no—
141#830D414yes—
142#809—22no—
143#809—22no—
144#809—22no—
145#809—22no—
146#809—41no—
147#809—41no—
148#808—41no—
149#807—41no—
150C4⋊(C3⋊C8)—22no—
151C4⋊(C3⋊C8)—22no—
152#803—22no—
153C4×C3⋊C8—22no—
154C23×D4—31no—
155C22×SD16—31no—
156C22×SD16—31no—
157C2×C22⋊Q8C2×D311yescharacteristic
158C2×#117—31no—
159C2×#117C2×D311yescharacteristic
160#450—64no—
161#433—64no—
162C2×#107—31no—
163C2×#106—31no—
164C2×C4⋊C8—31no—
165C2×C4⋊C8—31no—
166C2×#103—31no—
167C2×#103—31no—
168C2×#102—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102—31no—
174C2×C22⋊C8—31no—
175C2×C22⋊C8—31no—
176C2×#97—31no—
177C2×C4×C8—31no—
178#400—21no—
179#398—21no—
180#397—21no—
181#397—21no—
182#391C2×D311yescharacteristic, complemented
183#391C2×D311yescharacteristic, complemented
184#390—31no—
185#390—31no—
186#390—31no—
187#390—31no—
188#390—61no—
189#390—61no—
190#389C2×D311yescharacteristic, complemented
191#389C2×D311yescharacteristic, complemented
192#380C2×D311yescharacteristic
193#379—61no—
194#379—61no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199C24×C3C2×D411yescharacteristic
200C23×D3—21no—
201C23×D3—21no—
202C23×D3—24no—
203C23×D3—42no—
204C23×D3—42no—
205C23×D3—81no—
206C23×D3—81no—
207C23×D3—81no—
208C23×D3—81no—
209C2×C3×Q8—21no—
210C2×C3×Q8—21no—
211C2×C3×Q8—21no—
212C2×C3×Q8—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4C2×D412yes—
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4#4112yes—
230C22×C3×C4C2411yescharacteristic
231C22×Dic3—21no—
232C22×Dic3—21no—
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—24no—
242C2×D12—21no—
243C2×D12—21no—
244C2×D12—44no—
245C2×D12—44no—
246C2×D12—44no—
247C2×D12—44no—
248C2×D12—42no—
249C2×D12—42no—
250C2×D12#4112yes—
251C2×D12#4112yes—
252C3×C4⋊C4—22no—
253C3×C4⋊C4—22no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—42no—
261C3×C4⋊C4—81no—
262C3×C4⋊C4—81no—
263C3×C22⋊C4—22no—
264C3×C22⋊C4—22no—
265C3×C22⋊C4—42no—
266C3×C22⋊C4—81no—
267C3×C42—21no—
268C3×C42—21no—
269C3×C42—21no—
270C3×C42—21no—
271#217—42no—
272#215—44no—
273#215—44no—
274(C2×D3)⋊C4—81no—
275(C2×D3)⋊C4—81no—
276(C2×D3)⋊C4—81no—
277(C2×D3)⋊C4—81no—
278(C2×D3)⋊C4—81no—
279(C2×D3)⋊C4—81no—
280(C2×D3)⋊C4—81no—
281(C2×D3)⋊C4—81no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4×Dic3—42no—
287C2×C3⋊C8—21no—
288C2×C3⋊C8—21no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8—21no—
291C2×C3⋊C8—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8C2×D412yes—
298C2×C3⋊C8C2×D412yes—
299C25—61no—
300C22×Q8C22×D311yescharacteristic
301C22×D4—31no—
302C22×D4—31no—
303C22×D4—62no—
304C22×D4—62no—
305C22×D4—62no—
306C22×D4—62no—
307C22×D4—61no—
308C22×D4—121no—
309C22×D4—121no—
310C23×C4C22×D311yescharacteristic
311C2×SD16—62no—
312C2×SD16—62no—
313C2×SD16—62no—
314C2×SD16—62no—
315C2×SD16—121no—
316C2×SD16—121no—
317C22×C8—31no—
318C22×C8—31no—
319C22×C8—31no—
320C22×C8—31no—
321C22⋊Q8—22no—
322C22⋊Q8—22no—
323#117—22no—
324#117—22no—
325#117—121no—
326#117—121no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—31no—
331C2×C4⋊C4—31no—
332C2×C4⋊C4#6711yescharacteristic
333C2×C4⋊C4#6711yescharacteristic
334C2×C4⋊C4C22×D311yescharacteristic
335C2×C4⋊C4C22×D311yescharacteristic
336C2×C4⋊C4C22×D311yescharacteristic
337C2×C22⋊C4—21no—
338C2×C22⋊C4—21no—
339C2×C22⋊C4—61no—
340C2×C22⋊C4—61no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4—61no—
344C2×C22⋊C4—61no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4—61no—
347C2×C22⋊C4—61no—
348C2×C22⋊C4#6711yescharacteristic
349C2×C22⋊C4#6711yescharacteristic
350C2×C42—61no—
351C2×C42C22×D311yescharacteristic
352C2×C42C22×D311yescharacteristic
353#107—121no—
354#106—121no—
355C4⋊C8—62no—
356C4⋊C8—62no—
357#103—121no—
358#103—121no—
359#102—62no—
360#102—62no—
361#102—62no—
362#102—62no—
363#102—121no—
364#102—121no—
365C22⋊C8—34no—
366C22⋊C8—62no—
367#97—62no—
368C4×C8—62no—
369#95—21no—
370#95—21no—
371#95—21no—
372#95—21no—
373#95—21no—
374#95—21no—
375#95—21no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3#12112yes—
383C23×C3C22×D411yescharacteristic
384C22×D3—22no—
385C22×D3—22no—
386C22×D3—48no—
387C22×D3—41no—
388C22×D3—41no—
389C22×D3—41no—
390C22×D3—41no—
391C22×D3—41no—
392C22×D3—41no—
393C22×D3—41no—
394C22×D3—41no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3—41no—
398C22×D3—41no—
399C22×D3—84no—
400C22×D3—84no—
401C22×D3—84no—
402C22×D3—84no—
403C22×D3—84no—
404C22×D3—84no—
405C3×Q8—41no—
406C3×Q8—41no—
407C3×Q8—41no—
408C3×Q8—41no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—41no—
436C2×C3×C4—41no—
437C2×C3×C4—41no—
438C2×C3×C4—41no—
439C2×C3×C4#12112yes—
440C2×C3×C4C22×D411yescharacteristic
441C2×C3×C4C2×#4111yescharacteristic
442C2×C3×C4C2×#4111yescharacteristic
443C2×C3×C4C2×#4111yescharacteristic
444C2×C3×C4H(5,𝔽2)11yescharacteristic
445C2×C3×C4H(5,𝔽2)11yescharacteristic
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452D12—22no—
453D12—22no—
454D12—22no—
455D12—22no—
456D12—48no—
457D12—41no—
458D12—41no—
459D12—41no—
460D12—41no—
461C3⋊C8—22no—
462C3⋊C8—22no—
463C3⋊C8—41no—
464C3⋊C8—41no—
465C24—64no—
466C24—61no—
467C24—61no—
468C24—122no—
469C24—122no—
470C24—241no—
471C24—241no—
472C24—241no—
473C24—241no—
474C24C2×#6711yescharacteristic
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—32no—
482C2×D4—32no—
483C2×D4—64no—
484C2×D4—61no—
485C2×D4—61no—
486C2×D4—61no—
487C2×D4—61no—
488C2×D4—61no—
489C2×D4—61no—
490C2×D4—61no—
491C2×D4—61no—
492C2×D4—61no—
493C2×D4—61no—
494C2×D4—124no—
495C2×D4—124no—
496C2×D4—124no—
497C2×D4—124no—
498C2×D4—122no—
499C2×D4—122no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4D3×D412yes—
511C22×C4#23712yes—
512C22×C4C2×#6711yescharacteristic
513C22×C4C2×#6711yescharacteristic
514C22×C4C2×#6711yescharacteristic
515C22×C4C2×#6711yescharacteristic
516C22×C4C2×#6711yescharacteristic
517C22×C4C23×D311yescharacteristic
518SD16—124no—
519SD16—124no—
520C2×C8—32no—
521C2×C8—32no—
522C2×C8—61no—
523C2×C8—61no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C2×C8—61no—
531C2×C8—61no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—42no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—81no—
546C4⋊C4—81no—
547C22⋊C4—22no—
548C22⋊C4—22no—
549C22⋊C4—42no—
550C22⋊C4—81no—
551C22⋊C4—122no—
552C22⋊C4—241no—
553C22⋊C4—241no—
554C22⋊C4—241no—
555C22⋊C4—241no—
556C22⋊C4—241no—
557C22⋊C4—241no—
558C22⋊C4—241no—
559C22⋊C4—241no—
560C42—21no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—122no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—22no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3C2×#12111yescharacteristic
573C22×C3#52511yescharacteristic
574C22×C3#53511yescharacteristic
575C22×C3#57611yescharacteristic
576C22×C3#57711yescharacteristic
577C22×C3#57711yescharacteristic
578C22×C3#57711yescharacteristic
579C2×D3—42no—
580C2×D3—42no—
581C2×D3—42no—
582C2×D3—42no—
583C2×D3—42no—
584C2×D3—42no—
585C2×D3—816no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C2×D3—81no—
590C2×D3—81no—
591C2×D3—81no—
592C2×D3—81no—
593C2×D3—81no—
594C3×C4—22no—
595C3×C4—41no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—41no—
599C3×C4—81no—
600C3×C4—81no—
601C3×C4—81no—
602C3×C4—81no—
603C3×C4#54611yescharacteristic
604C3×C4#54611yescharacteristic
605C3×C4#55111yescharacteristic
606C3×C4#55111yescharacteristic
607Dic3—81no—
608Dic3—81no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—62no—
616C23—62no—
617C23—128no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23—121no—
624C23—121no—
625C23—121no—
626C23—121no—
627C23—121no—
628C23—121no—
629C23—121no—
630C23—244no—
631C23—244no—
632C23—244no—
633C23—244no—
634C23—244no—
635C23—244no—
636C23#93912yes—
637C23C22×#6711yescharacteristic
638Q8—41no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642D4—62no—
643D4—62no—
644D4—62no—
645D4—62no—
646D4—128no—
647D4—121no—
648D4—121no—
649D4—121no—
650D4—121no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
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—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4—121no—
686C2×C4—121no—
687C2×C4#93912yes—
688C2×C4C2×D3×D411yescharacteristic
689C2×C4C2×#23711yescharacteristic
690C2×C4D3×#4111yescharacteristic
691C2×C4D3×#4111yescharacteristic
692C2×C4#100911yescharacteristic
693C2×C4#100911yescharacteristic
694C8—62no—
695C8—62no—
696C8—121no—
697C8—121no—
698C2×C3—42no—
699C2×C3#241111yescharacteristic
700C2×C3#305711yescharacteristic
701C2×C3#306211yescharacteristic
702C2×C3#311811yescharacteristic
703C2×C3#312311yescharacteristic
704C2×C3#322211yescharacteristic
705C2×C3#322411yescharacteristic
706D3—82no—
707D3—82no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—122no—
716C22—122no—
717C22—122no—
718C22—122no—
719C22—122no—
720C22—122no—
721C22—2416no—
722C22—241no—
723C22—241no—
724C22—241no—
725C22—241no—
726C22—241no—
727C22—241no—
728C22—241no—
729C22—241no—
730C22C2×#93911yescharacteristic
731C22#582811yescharacteristic
732C22#583011yescharacteristic
733C22#583511yescharacteristic
734C22#583711yescharacteristic
735C22#583711yescharacteristic
736C22#583711yescharacteristic
737C4—22no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—41no—
742C4—81no—
743C4—81no—
744C4—81no—
745C4—81no—
746C4—241no—
747C4—241no—
748C4#565411yescharacteristic
749C4#565411yescharacteristic
750C4#565811yescharacteristic
751C4#565811yescharacteristic
752C3#2451611yescharacteristic, complemented, Sylow
753C2—42no—
754C2—242no—
755C2—242no—
756C2#8289411yescharacteristic
757C2#8339811yescharacteristic
758C2#8342211yescharacteristic
759C2#8344711yescharacteristic
760C2#8344811yescharacteristic
761C2#8346011yescharacteristic
762C2#8346311yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2625C2
socleC23×C3C22×D4
prime radicalC23×D12C22
hypercenter#2625D3
hypocenterC3#24516
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2625

Complements

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

NH ≅ G/Ntype
1. C3×#2625C2semidirect
4. C2×#5000C2semidirect
5. #71693C2semidirect
6. #69680C2semidirect
7. #69680C2semidirect
8. #69679C2semidirect
9. #69676C2semidirect
10. #69630C2semidirect
11. #69629C2semidirect
12. #69617C2semidirect
13. #69615C2semidirect
15. #69506C2semidirect
27. C3×#391C22semidirect
28. C3×#391C22semidirect
29. C3×#389C22semidirect
30. C3×#389C22semidirect
32. C2×#835C22semidirect
33. C2×#835C22semidirect
46. C2×#808C22semidirect
47. C2×#807C22semidirect
54. C2×C4⋊(C3⋊C8)C22semidirect
55. C2×C4⋊(C3⋊C8)C22semidirect
56. C2×#803C22semidirect
57. C2×C4×C3⋊C8C22semidirect
58. #4529C22semidirect
59. #4529C22semidirect
60. #4529C22semidirect
61. #4529C22semidirect
64. #2625D3semidirect
182. #391C2×D3semidirect
183. #391C2×D3semidirect
190. #389C2×D3semidirect
191. #389C2×D3semidirect
752. C3#24516semidirect

Maximal subgroups

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

subgroupindex
C3×#26252
C2×#50462
#822692
C2×#50002
#716932
#696802
#696792
#696762
#696302
#696292
#696172
#696152
#695212
#695062
#245163