Finite Group Databasebeta

← #10834032

Subgroups — #10834032

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×#2309C211yesmaximal, characteristic
2C2×#5218C211yesmaximal, characteristic
3#82263C211yesmaximal, characteristic, complemented
4C2×#5000C211yesmaximal, characteristic, complemented
5#72128C211yesmaximal, characteristic
6#71585C211yesmaximal, characteristic, complemented
7#71576C211yesmaximal, characteristic, complemented
8#69653C211yesmaximal, characteristic, complemented
9#69652C211yesmaximal, characteristic, complemented
10#69651C211yesmaximal, characteristic, complemented
11#69651C211yesmaximal, characteristic, complemented
12#69649C211yesmaximal, characteristic, complemented
13#69646C211yesmaximal, characteristic, complemented
14#69645C211yesmaximal, characteristic, complemented
15#69644C211yesmaximal, characteristic, complemented
16#24516—31nomaximal, Sylow
17C23×C3×D4C2211yescharacteristic
18C2×C3×#117C2211yescharacteristic
19C2×C3×#117C2211yescharacteristic
20C22×#214C2211yescharacteristic
21C22×#214C2211yescharacteristic
22C2×#924C2211yescharacteristic
23C3×#390—21no—
24C3×#390—21no—
25C3×#390C2211yescharacteristic
26C3×#390C2211yescharacteristic
27C3×#390C2211yescharacteristic
28C3×#390C2211yescharacteristic
29C3×#379—21no—
30C3×#379—21no—
31#5218—24no—
32C2×#832C2211yescharacteristic
33C2×#832C2211yescharacteristic
34C2×#832C2211yescharacteristic
35C2×#832C2211yescharacteristic
36C2×#832C2211yescharacteristic
37C2×#832C2211yescharacteristic
38#5212C2211yescharacteristic
39C2×#830C2211yescharacteristic
40C2×#830C2211yescharacteristic
41#5000—24no—
42#4985—21no—
43#4983—21no—
44C2×#810C2211yescharacteristic, complemented
45C2×#810C2211yescharacteristic, complemented
46C2×#808C2211yescharacteristic, complemented
47C2×#807C2211yescharacteristic, complemented
48#4952—21no—
49#4952—21no—
50#4929C2211yescharacteristic, complemented
51#4929C2211yescharacteristic, complemented
52#4928C2211yescharacteristic, complemented
53#4928C2211yescharacteristic, complemented
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#2625—31no—
65#2309D311yescharacteristic
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—
77C25×C3—21no—
78C22×C3×D4—22no—
79C22×C3×D4—22no—
80C22×C3×D4—21no—
81C22×C3×D4—22no—
82C22×C3×D4—22no—
83C22×C3×D4—41no—
84C22×C3×D4—41no—
85C22×C3×D4C2311yescharacteristic
86C22×C3×D4C2311yescharacteristic
87C23×C3×C4C2311yescharacteristic
88C22×Dic6C2311yescharacteristic
89C3×#117—22no—
90C3×#117—22no—
91C3×#117—41no—
92C3×#117—41no—
93C2×C3×C4⋊C4D411yescharacteristic
94C2×C3×C4⋊C4D411yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×C3×C22⋊C4—21no—
100C2×C3×C22⋊C4—21no—
101C2×C3×C22⋊C4—21no—
102C2×C3×C22⋊C4—21no—
103C2×C3×C22⋊C4—21no—
104C2×C3×C22⋊C4—21no—
105C2×C3×C22⋊C4—21no—
106C2×C3×C22⋊C4D411yescharacteristic
107C2×C3×C22⋊C4D411yescharacteristic
108C2×C3×C42—21no—
109C2×C3×C42C2311yescharacteristic
110C2×C3×C42C2311yescharacteristic
111C2×#217—21no—
112C2×#217—21no—
113C2×#214—22no—
114C2×#214—22no—
115C2×#214—22no—
116C2×#214—22no—
117C2×#214—41no—
118C2×#214—41no—
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122#924—22no—
123#924—22no—
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4—21no—
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131#832—22no—
132#832—22no—
133#832—22no—
134#832—22no—
135#832—41no—
136#832—41no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144#830—22no—
145#830D414yes—
146#810—41no—
147#810—41no—
148#808—41no—
149#807—41no—
150C4⋊(C3⋊C8)—22no—
151C4⋊(C3⋊C8)—22no—
152#803—22no—
153C4×C3⋊C8—22no—
154C23×D4C2×D311yescharacteristic
155C22×SD16—31no—
156C22×SD16—31no—
157C2×C22⋊Q8—31no—
158C2×#117C2×D311yescharacteristic
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—61no—
179#398—61no—
180#397—61no—
181#397—61no—
182#391—31no—
183#391—31no—
184#390—21no—
185#390—21no—
186#390C2×D311yescharacteristic
187#390C2×D311yescharacteristic
188#390C2×D311yescharacteristic
189#390C2×D311yescharacteristic
190#389—31no—
191#389—31no—
192#380—31no—
193#379—21no—
194#379—21no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199C24×C3—24no—
200C24×C3—21no—
201C24×C3—21no—
202C24×C3—42no—
203C24×C3—42no—
204C24×C3—81no—
205C24×C3—81no—
206C24×C3—81no—
207C24×C3—81no—
208C24×C3C2×D411yescharacteristic
209C2×C3×D4—24no—
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4—21no—
216C2×C3×D4—21no—
217C2×C3×D4—21no—
218C2×C3×D4—21no—
219C2×C3×D4—21no—
220C2×C3×D4—44no—
221C2×C3×D4—44no—
222C2×C3×D4—44no—
223C2×C3×D4—44no—
224C2×C3×D4—42no—
225C2×C3×D4—42no—
226C2×C3×D4#4112yes—
227C2×C3×D4#4112yes—
228C22×C3×C4—21no—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4—21no—
232C22×C3×C4—21no—
233C22×C3×C4—21no—
234C22×C3×C4C2×D412yes—
235C22×C3×C4C2×D411yescharacteristic
236C22×C3×C4C2×D411yescharacteristic
237C22×C3×C4C2×D411yescharacteristic
238C22×C3×C4C2×D411yescharacteristic
239C22×C3×C4C2×D411yescharacteristic
240C22×C3×C4#4112yes—
241C22×C3×C4C2411yescharacteristic
242C22×Dic3—21no—
243C22×Dic3—21no—
244C22×Dic3—21no—
245C22×Dic3—21no—
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
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×C22⋊C4—22no—
259C3×C22⋊C4—22no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—81no—
262C3×C22⋊C4—81no—
263C3×C22⋊C4—81no—
264C3×C22⋊C4—81no—
265C3×C22⋊C4—81no—
266C3×C22⋊C4—81no—
267C3×C22⋊C4—81no—
268C3×C22⋊C4—81no—
269C3×C42—21no—
270C3×C42—21no—
271C3×C42—21no—
272C3×C42—21no—
273C3×C42—42no—
274#217—42no—
275#217—81no—
276#214—44no—
277#214—44no—
278C4⋊Dic3—21no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—21no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284Dic3⋊C4—42no—
285Dic3⋊C4—81no—
286Dic3⋊C4—81no—
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—21no—
300C22×Q8—31no—
301C22×D4—22no—
302C22×D4—22no—
303C22×D4—22no—
304C22×D4—22no—
305C22×D4—21no—
306C22×D4—41no—
307C22×D4—41no—
308C22×D4C22×D311yescharacteristic
309C22×D4C22×D311yescharacteristic
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—62no—
322C22⋊Q8—62no—
323#117—22no—
324#117—22no—
325#117—41no—
326#117—41no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—61no—
331C2×C4⋊C4—61no—
332C2×C4⋊C4—61no—
333C2×C4⋊C4#6711yescharacteristic
334C2×C4⋊C4#6711yescharacteristic
335C2×C4⋊C4C22×D311yescharacteristic
336C2×C4⋊C4C22×D311yescharacteristic
337C2×C22⋊C4—21no—
338C2×C22⋊C4—21no—
339C2×C22⋊C4—21no—
340C2×C22⋊C4—21no—
341C2×C22⋊C4—21no—
342C2×C22⋊C4—21no—
343C2×C22⋊C4—21no—
344C2×C22⋊C4—21no—
345C2×C22⋊C4—21no—
346C2×C22⋊C4—61no—
347C2×C22⋊C4—61no—
348C2×C22⋊C4#6711yescharacteristic
349C2×C22⋊C4#6711yescharacteristic
350C2×C42—21no—
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—61no—
370#95—61no—
371#95—61no—
372#95—61no—
373#95—61no—
374#95—61no—
375#95—61no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3—22no—
383C23×C3—22no—
384C23×C3—48no—
385C23×C3—41no—
386C23×C3—41no—
387C23×C3—41no—
388C23×C3—41no—
389C23×C3—41no—
390C23×C3—41no—
391C23×C3—41no—
392C23×C3—41no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3—84no—
398C23×C3—84no—
399C23×C3—84no—
400C23×C3—84no—
401C23×C3—84no—
402C23×C3—84no—
403C23×C3#12112yes—
404C23×C3C22×D411yescharacteristic
405C3×D4—22no—
406C3×D4—22no—
407C3×D4—22no—
408C3×D4—22no—
409C3×D4—48no—
410C3×D4—41no—
411C3×D4—41no—
412C3×D4—41no—
413C3×D4—41no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
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—21no—
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—21no—
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#12112yes—
439C2×C3×C4C22×D411yescharacteristic
440C2×C3×C4C2×#4111yescharacteristic
441C2×C3×C4C2×#4111yescharacteristic
442C2×C3×C4C2×#4111yescharacteristic
443C2×C3×C4H(5,𝔽2)11yescharacteristic
444C2×C3×C4H(5,𝔽2)11yescharacteristic
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457Dic6—41no—
458Dic6—41no—
459Dic6—41no—
460Dic6—41no—
461C3⋊C8—22no—
462C3⋊C8—22no—
463C3⋊C8—41no—
464C3⋊C8—41no—
465C24—24no—
466C24—21no—
467C24—21no—
468C24—42no—
469C24—42no—
470C24—81no—
471C24—81no—
472C24—81no—
473C24—81no—
474C24C2×#6711yescharacteristic
475C2×Q8—61no—
476C2×Q8—61no—
477C2×Q8—61no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
481C2×D4—24no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—44no—
493C2×D4—44no—
494C2×D4—44no—
495C2×D4—44no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4#23512yes—
499C2×D4#23512yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—61no—
507C22×C4—61no—
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—61no—
539C4⋊C4—61no—
540C4⋊C4—61no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—122no—
545C4⋊C4—241no—
546C4⋊C4—241no—
547C22⋊C4—22no—
548C22⋊C4—22no—
549C22⋊C4—42no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—81no—
553C22⋊C4—81no—
554C22⋊C4—81no—
555C22⋊C4—81no—
556C22⋊C4—81no—
557C22⋊C4—81no—
558C22⋊C4—122no—
559C22⋊C4—241no—
560C42—21no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—42no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—22no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—42no—
573C22×C3—42no—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—42no—
578C22×C3—816no—
579C22×C3—81no—
580C22×C3—81no—
581C22×C3—81no—
582C22×C3—81no—
583C22×C3—81no—
584C22×C3—81no—
585C22×C3—81no—
586C22×C3—81no—
587C22×C3C2×#12111yescharacteristic
588C22×C3#52511yescharacteristic
589C22×C3#53511yescharacteristic
590C22×C3#57611yescharacteristic
591C22×C3#57711yescharacteristic
592C22×C3#57711yescharacteristic
593C22×C3#57711yescharacteristic
594C3×C4—22no—
595C3×C4—41no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—41no—
599C3×C4—81no—
600C3×C4—81no—
601C3×C4#54611yescharacteristic
602C3×C4#54611yescharacteristic
603C3×C4#55111yescharacteristic
604C3×C4#55111yescharacteristic
605Dic3—81no—
606Dic3—81no—
607Dic3—81no—
608Dic3—81no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—22no—
616C23—22no—
617C23—48no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23#93912yes—
637C23C22×#6711yescharacteristic
638Q8—121no—
639Q8—121no—
640Q8—121no—
641Q8—121no—
642D4—22no—
643D4—22no—
644D4—22no—
645D4—22no—
646D4—48no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4—41no—
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—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4—121no—
686C2×C4—121no—
687C2×C4#93912yes—
688C2×C4C2×#23511yescharacteristic
689C2×C4C2×#23511yescharacteristic
690C2×C4C2×D3×D411yescharacteristic
691C2×C4C2×#23711yescharacteristic
692C2×C4#100411yescharacteristic
693C2×C4#100411yescharacteristic
694C8—62no—
695C8—62no—
696C8—121no—
697C8—121no—
698C2×C3—42no—
699C2×C3—82no—
700C2×C3—82no—
701C2×C3#241111yescharacteristic
702C2×C3#305711yescharacteristic
703C2×C3#306211yescharacteristic
704C2×C3#311811yescharacteristic
705C2×C3#312311yescharacteristic
706C2×C3#322211yescharacteristic
707C2×C3#322411yescharacteristic
708C22—22no—
709C22—22no—
710C22—22no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—816no—
722C22—81no—
723C22—81no—
724C22—81no—
725C22—81no—
726C22—81no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22#579111yescharacteristic
731C22C2×#93911yescharacteristic
732C22#580511yescharacteristic
733C22#583511yescharacteristic
734C22#583611yescharacteristic
735C22#583611yescharacteristic
736C22#583611yescharacteristic
737C4—22no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—41no—
742C4—81no—
743C4—81no—
744C4—241no—
745C4—241no—
746C4—241no—
747C4—241no—
748C4#549011yescharacteristic
749C4#549011yescharacteristic
750C4#549511yescharacteristic
751C4#549511yescharacteristic
752C3#2451611yescharacteristic, complemented, Sylow
753C2—42no—
754C2—82no—
755C2—82no—
756C2#8210611yescharacteristic
757C2#8254111yescharacteristic
758C2#8254511yescharacteristic
759C2#8337711yescharacteristic
760C2#8337911yescharacteristic
761C2#8338911yescharacteristic
762C2#8339311yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2309C2
socleC23×C3C22×D4
prime radicalC23×C3×D4C22
hypercenter#2309D3
hypocenterC3#24516
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2309

Complements

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

NH ≅ G/Ntype
3. #82263C2semidirect
4. C2×#5000C2semidirect
6. #71585C2semidirect
7. #71576C2semidirect
8. #69653C2semidirect
9. #69652C2semidirect
10. #69651C2semidirect
11. #69651C2semidirect
12. #69649C2semidirect
13. #69646C2semidirect
14. #69645C2semidirect
15. #69644C2semidirect
44. C2×#810C22semidirect
45. C2×#810C22semidirect
46. C2×#808C22semidirect
47. C2×#807C22semidirect
50. #4929C22semidirect
51. #4929C22semidirect
52. #4928C22semidirect
53. #4928C22semidirect
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
752. C3#24516semidirect

Maximal subgroups

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

subgroupindex
C3×#23092
C2×#52182
#822632
C2×#50002
#721282
#715852
#715762
#696532
#696522
#696512
#696492
#696462
#696452
#696442
#245163