Finite Group Databasebeta

← #11864107

Subgroups — #11864107

Order 1152.

2418 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×#64123C211yesmaximal, characteristic, complemented
3C2×#64120C211yesmaximal, characteristic, complemented
4C3⋊D3×#121C211yesmaximal, characteristic, complemented
5C32×#449C211yesmaximal, characteristic, complemented
6#10592937C211yesmaximal, characteristic, complemented
7#10592869C211yesmaximal, characteristic, complemented
8#10592855C211yesmaximal, characteristic, complemented
9#10592736C211yesmaximal, characteristic, complemented
10#10592505C211yesmaximal, characteristic, complemented
11#10592502C211yesmaximal, characteristic, complemented
12#10592472C211yesmaximal, characteristic, complemented
13#10592470C211yesmaximal, characteristic, complemented
14#10592433C211yesmaximal, characteristic, complemented
15#10592425C211yesmaximal, characteristic, complemented
16#80084—34nomaximal
17C2×C32×#41C2211yescharacteristic, complemented
18#41×C3⋊D3—24no—
19#41×C3⋊D3—24no—
20C2×#3832C2211yescharacteristic
21C2×Q8×C3⋊D3C2211yescharacteristic, complemented
22C2×#3830—21no—
23C2×#3830C2211yescharacteristic
24C2×D4×C3⋊D3—21no—
25C2×D4×C3⋊D3—21no—
26C2×D4×C3⋊D3C2211yescharacteristic, complemented
27C2×D4×C3⋊D3C2211yescharacteristic, complemented
28C2×#3828—21no—
29C2×#3828C2211yescharacteristic, complemented
30C22×C4×C3⋊D3—21no—
31C22×C4×C3⋊D3C2211yescharacteristic
32C2×C32×SD16C2211yescharacteristic, complemented
33C2×C32×D8C2211yescharacteristic, complemented
34C32×#121C2211yescharacteristic, complemented
35C2×#3755C2211yescharacteristic, complemented
36#64148—21no—
37#64147C2211yescharacteristic
38C2×#3754C2211yescharacteristic, complemented
39C2×#3753C2211yescharacteristic, complemented
40C2×#3753C2211yescharacteristic, complemented
41#64139C2211yescharacteristic, complemented
42#64123—24no—
43#64120—24no—
44C2×#3745C2211yescharacteristic, complemented
45C2×#3744C2211yescharacteristic, complemented
46C2×#3743C2211yescharacteristic, complemented
47C2×#3743C2211yescharacteristic, complemented
48#64104C2211yescharacteristic
49C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
50#64093—21no—
51C22⋊C4×C3⋊D3—21no—
52C32×#103C2211yescharacteristic, complemented
53C32×#102C2211yescharacteristic, complemented
54C32×C22⋊C8C2211yescharacteristic, complemented
55#63662C2211yescharacteristic, complemented
56#63659C2211yescharacteristic, complemented
57#63657C2211yescharacteristic, complemented
58#63648C2211yescharacteristic, complemented
59#63647C2211yescharacteristic, complemented
60#63647C2211yescharacteristic, complemented
61#63643C2211yescharacteristic, complemented
62#63637C2211yescharacteristic, complemented
63#63636C2211yescharacteristic, complemented
64C2×D3×#41—34no—
65C2×#914—34no—
66C2×#911—34no—
67D3×#121—34no—
68C3×#449D314yescomplemented
69#5238—34no—
70#5170—34no—
71#5156—34no—
72#5037—34no—
73#4806—34no—
74#4803—34no—
75#4773—34no—
76#4771—34no—
77#4734—34no—
78#4726—34no—
79C23×C3⋊D3—21no—
80C23×C3⋊D3—21no—
81C23×C3⋊D3D411yescharacteristic
82C32×#41—22no—
83C32×#41—22no—
84C2×C32×Q8C2311yescharacteristic
85C2×C32×D4—21no—
86C2×C32×D4—21no—
87C2×C32×D4C2311yescharacteristic
88C2×C32×D4C2311yescharacteristic
89C22×C32×C4—21no—
90C22×C32×C4C2311yescharacteristic
91C2×#638—21no—
92C2×#638—21no—
93C2×#638—21no—
94C2×#638—21no—
95C2×#638—21no—
96C2×#638—21no—
97C22×C3⋊Dic3—21no—
98C22×C3⋊Dic3D411yescharacteristic
99#3832—22no—
100#3832D414yescomplemented
101Q8×C3⋊D3—22no—
102Q8×C3⋊D3—22no—
103#3830—28no—
104#3830—22no—
105#3830D414yescomplemented
106D4×C3⋊D3—28no—
107D4×C3⋊D3—22no—
108D4×C3⋊D3—22no—
109D4×C3⋊D3—22no—
110D4×C3⋊D3—22no—
111D4×C3⋊D3—44no—
112#3828—28no—
113#3828—22no—
114#3828—22no—
115C2×C4⋊(C3⋊D3)—21no—
116C2×C4⋊(C3⋊D3)—21no—
117C2×C4⋊(C3⋊D3)C2311yescharacteristic
118C2×C4⋊(C3⋊D3)C2311yescharacteristic
119C2×C4×C3⋊D3—28no—
120C2×C4×C3⋊D3—21no—
121C2×C4×C3⋊D3—21no—
122C2×C4×C3⋊D3—21no—
123C2×C4×C3⋊D3—22no—
124C2×C4×C3⋊D3—22no—
125C2×C4×C3⋊D3—21no—
126C2×C4×C3⋊D3D411yescharacteristic
127C2×C4×C3⋊D3D411yescharacteristic
128C2×C4×C3⋊D3C2311yescharacteristic
129C2×C4×C3⋊D3C2311yescharacteristic
130C2×#634—21no—
131C2×#634C2311yescharacteristic
132C32×SD16—22no—
133C32×D8—22no—
134C2×C32×C8C2311yescharacteristic
135C2×C32×C8C2311yescharacteristic
136C32×C4⋊C4C2311yescharacteristic
137C32×C22⋊C4—21no—
138#3757—21no—
139#3755—22no—
140#3754—22no—
141#3753—22no—
142#3753—22no—
143#3752—21no—
144#3752—21no—
145C4⋊(C3⋊Dic3)C2311yescharacteristic
146#3750—21no—
147C2×C3⋊(C3⋊C8)C2311yescharacteristic
148C2×C3⋊(C3⋊C8)C2311yescharacteristic
149#3745—22no—
150#3744—22no—
151#3743—22no—
152#3743—22no—
153#3006—91noSylow
154C2×C3×#41C2×D314yescomplemented
155D3×#41—616no—
156D3×#41—616no—
157C2×#239—34no—
158C2×D3×Q8—34no—
159C2×#237—34no—
160C2×#237—64no—
161C2×D3×D4—34no—
162C2×D3×D4—34no—
163C2×D3×D4—64no—
164C2×D3×D4—64no—
165C2×#235—34no—
166C2×#235—64no—
167C22×C4×D3—34no—
168C22×C4×D3—64no—
169C2×C3×SD16C2×D314yescomplemented
170C2×C3×D8C2×D314yescomplemented
171C3×#121C2×D314yescomplemented
172C2×#215—34no—
173#939—64no—
174#938—34no—
175C2×#214—34no—
176C2×#213—34no—
177C2×#213—34no—
178#930—34no—
179#914—616no—
180#911—616no—
181C2×D24—34no—
182C2×#204—34no—
183C2×ΓL(1,𝔽25)—34no—
184C2×ΓL(1,𝔽25)—34no—
185#895—34no—
186D3×C4⋊C4—34no—
187#884—64no—
188D3×C22⋊C4—64no—
189C3×#103C2×D314yescomplemented
190C3×#102C2×D314yescomplemented
191C3×C22⋊C8C2×D314yescomplemented
192#835—34no—
193#832—34no—
194#830—34no—
195#821—34no—
196(C2×D3)⋊C8—34no—
197(C2×D3)⋊C8—34no—
198#816—34no—
199#810—34no—
200#809—34no—
201C23×C32—21no—
202C23×C32—21no—
203C23×C32C2×D411yescharacteristic
204C22×C3⋊D3—24no—
205C22×C3⋊D3—21no—
206C22×C3⋊D3—22no—
207C22×C3⋊D3—22no—
208C22×C3⋊D3—21no—
209C22×C3⋊D3—41no—
210C22×C3⋊D3—42no—
211C22×C3⋊D3—42no—
212C22×C3⋊D3—42no—
213C22×C3⋊D3—42no—
214C22×C3⋊D3—42no—
215C22×C3⋊D3C2×D411yescharacteristic
216C22×C3⋊D3C2×D411yescharacteristic
217C32×Q8—21no—
218C32×Q8C2×D412yescomplemented
219C32×D4—24no—
220C32×D4—21no—
221C32×D4—21no—
222C32×D4—21no—
223C32×D4—42no—
224C32×D4C2×D412yescomplemented
225C2×C32×C4—24no—
226C2×C32×C4—21no—
227C2×C32×C4—21no—
228C2×C32×C4—21no—
229C2×C32×C4—21no—
230C2×C32×C4C2×D411yescharacteristic
231C2×C32×C4C2411yescharacteristic
232#638—24no—
233#638—24no—
234#638—24no—
235#638—42no—
236#638—42no—
237#638—42no—
238C2×C3⋊Dic3—21no—
239C2×C3⋊Dic3—22no—
240C2×C3⋊Dic3—24no—
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3C2×D411yescharacteristic
243C2×C3⋊Dic3C2×D411yescharacteristic
244C4⋊(C3⋊D3)—24no—
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)—42no—
249C4⋊(C3⋊D3)C2×D412yescomplemented
250C4×C3⋊D3—24no—
251C4×C3⋊D3—24no—
252C4×C3⋊D3—22no—
253C4×C3⋊D3—21no—
254C4×C3⋊D3—21no—
255C4×C3⋊D3—22no—
256C4×C3⋊D3—24no—
257C4×C3⋊D3—42no—
258C4×C3⋊D3C2×D412yes—
259C4×C3⋊D3C2×D412yes—
260#634—24no—
261#634—21no—
262#634C2×D412yescomplemented
263C32×C8—21no—
264C32×C8—21no—
265C3⋊(C3⋊C8)—21no—
266C3⋊(C3⋊C8)—21no—
267C22×#41—91no—
268C2×AGL(1,ℤ/8)—91no—
269C2×AGL(1,ℤ/8)—91no—
270C2×#121—91no—
271#449—91no—
272#449—91no—
273#449—91no—
274#449C3⋊D311yescharacteristic, complemented
275#448—91no—
276#448—91no—
277#447—91no—
278#447—91no—
279#417—91no—
280#417—91no—
281#407—91no—
282C23×D3—34no—
283C23×D3—64no—
284C23×D3—64no—
285C3×#41—28no—
286C3×#41—28no—
287C2×C3×Q8C22×D314yes—
288C2×C3×D4—24no—
289C2×C3×D4—24no—
290C2×C3×D4C22×D314yes—
291C2×C3×D4C22×D314yes—
292C22×C3×C4—24no—
293C22×C3×C4C22×D314yes—
294C2×#67—64no—
295C2×#67—64no—
296C2×#67—64no—
297C2×#67—64no—
298C2×#67—64no—
299C2×#67—64no—
300C22×Dic3—34no—
301C22×Dic3—64no—
302#239—316no—
303#239—68no—
304D3×Q8—68no—
305D3×Q8—68no—
306#237—316no—
307#237—68no—
308#237—632no—
309D3×D4—68no—
310D3×D4—68no—
311D3×D4—68no—
312D3×D4—632no—
313D3×D4—68no—
314D3×D4—1216no—
315#235—68no—
316#235—68no—
317#235—632no—
318C2×D12—34no—
319C2×D12—34no—
320C2×D12—64no—
321C2×D12—64no—
322C2×C4×D3—34no—
323C2×C4×D3—34no—
324C2×C4×D3—34no—
325C2×C4×D3—34no—
326C2×C4×D3—68no—
327C2×C4×D3—68no—
328C2×C4×D3—64no—
329C2×C4×D3—64no—
330C2×C4×D3—632no—
331C2×C4×D3—64no—
332C2×C4×D3—64no—
333C2×Dic6—34no—
334C2×Dic6—64no—
335C3×SD16—28no—
336C3×D8—28no—
337C2×C3×C8C22×D314yes—
338C2×C3×C8C22×D314yes—
339C3×C4⋊C4C22×D314yes—
340C3×C22⋊C4—24no—
341#217—64no—
342#215—68no—
343#214—68no—
344#213—68no—
345#213—68no—
346(C2×D3)⋊C4—64no—
347(C2×D3)⋊C4—64no—
348C4⋊Dic3—34no—
349Dic3⋊C4—64no—
350C2×C3⋊C8—34no—
351C2×C3⋊C8—34no—
352D24—68no—
353#204—68no—
354ΓL(1,𝔽25)—68no—
355ΓL(1,𝔽25)—68no—
356C22×C32—21no—
357C22×C32—22no—
358C22×C32—21no—
359C22×C32—21no—
360C22×C32—41no—
361C22×C32—41no—
362C22×C32—41no—
363C22×C32—41no—
364C22×C32—41no—
365C22×C32C22×D411yescharacteristic
366C2×C3⋊D3—21no—
367C2×C3⋊D3—21no—
368C2×C3⋊D3—21no—
369C2×C3⋊D3—21no—
370C2×C3⋊D3—22no—
371C2×C3⋊D3—44no—
372C2×C3⋊D3—48no—
373C2×C3⋊D3—41no—
374C2×C3⋊D3—41no—
375C2×C3⋊D3—41no—
376C2×C3⋊D3—41no—
377C2×C3⋊D3—41no—
378C2×C3⋊D3—84no—
379C2×C3⋊D3#12012yes—
380C2×C3⋊D3AGL(1,ℤ/8)12yescomplemented
381C32×C4—22no—
382C32×C4—21no—
383C32×C4—41no—
384C32×C4C22×D411yescharacteristic
385C32×C4C22×D411yescharacteristic
386C3⋊Dic3—21no—
387C3⋊Dic3—22no—
388C3⋊Dic3—41no—
389C3⋊Dic3#12012yes—
390C2×#41—91no—
391C2×#41—91no—
392C2×#41—91no—
393C2×#41—181no—
394C2×#41—181no—
395C2×#41—184no—
396C2×#41—184no—
397C2×#41C2×C3⋊D311yescharacteristic, complemented
398C22×Q8—91no—
399C22×D4—91no—
400C22×D4—91no—
401C22×D4—181no—
402C22×D4—181no—
403C23×C4—91no—
404C23×C4—181no—
405AGL(1,ℤ/8)—184no—
406AGL(1,ℤ/8)—184no—
407C2×SD16—91no—
408C2×SD16—91no—
409C2×SD16—91no—
410C2×SD16C2×C3⋊D311yescharacteristic, complemented
411C2×D8—91no—
412C2×D8—91no—
413C2×D8—91no—
414C2×D8C2×C3⋊D311yescharacteristic, complemented
415C2×M16—91no—
416C2×M16—91no—
417#121—91no—
418#121—91no—
419#121—91no—
420#121—181no—
421#121—181no—
422#121C2×C3⋊D311yescharacteristic, complemented
423C2×C4⋊C4—91no—
424C2×C22⋊C4—181no—
425#103—91no—
426#103—91no—
427#103—91no—
428#103C2×C3⋊D311yescharacteristic, complemented
429#102—91no—
430#102—91no—
431#102—91no—
432#102C2×C3⋊D311yescharacteristic, complemented
433C22⋊C8—91no—
434C22⋊C8—91no—
435C22⋊C8—91no—
436C22⋊C8C2×C3⋊D311yescharacteristic, complemented
437C23×C3—24no—
438C23×C3—24no—
439C23×C3D3×D414yes—
440C22×D3—34no—
441C22×D3—34no—
442C22×D3—68no—
443C22×D3—68no—
444C22×D3—616no—
445C22×D3—64no—
446C22×D3—64no—
447C22×D3—128no—
448C22×D3—128no—
449C22×D3—124no—
450C22×D3—128no—
451C22×D3—128no—
452C22×D3—128no—
453C3×Q8—24no—
454C3×Q8D3×D418yescomplemented
455C3×D4—216no—
456C3×D4—24no—
457C3×D4—24no—
458C3×D4—24no—
459C3×D4—48no—
460C3×D4D3×D418yescomplemented
461C2×C3×C4—216no—
462C2×C3×C4—24no—
463C2×C3×C4—24no—
464C2×C3×C4—24no—
465C2×C3×C4—24no—
466C2×C3×C4D3×D414yes—
467C2×C3×C4C23×D314yes—
468#67—616no—
469#67—616no—
470#67—616no—
471#67—128no—
472#67—128no—
473#67—128no—
474C2×Dic3—34no—
475C2×Dic3—34no—
476C2×Dic3—616no—
477C2×Dic3—68no—
478C2×Dic3—64no—
479C2×Dic3—64no—
480D12—38no—
481D12—616no—
482D12—64no—
483D12—64no—
484D12—64no—
485D12—128no—
486C4×D3—38no—
487C4×D3—38no—
488C4×D3—68no—
489C4×D3—616no—
490C4×D3—68no—
491C4×D3—616no—
492C4×D3—616no—
493C4×D3—64no—
494C4×D3—64no—
495C4×D3—128no—
496Dic6—38no—
497Dic6—616no—
498Dic6—64no—
499C3×C8—24no—
500C3×C8—24no—
501C3⋊C8—64no—
502C3⋊C8—64no—
503C2×C32—41no—
504C2×C32—42no—
505C2×C32—81no—
506C2×C32C2×#12011yescharacteristic
507C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
508C2×C32#57511yescharacteristic
509C3⋊D3—22no—
510C3⋊D3—22no—
511C3⋊D3—42no—
512C3⋊D3—81no—
513C24—91no—
514C24—181no—
515C24—181no—
516#41—22no—
517#41—22no—
518#41—94no—
519#41—94no—
520#41—182no—
521#41—182no—
522#41—188no—
523#41—182no—
524#41—182no—
525#41—188no—
526C2×Q8—91no—
527C2×Q8—181no—
528C2×Q8—182no—
529C2×Q8—182no—
530C2×Q8C22×C3⋊D311yescharacteristic
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—91no—
534C2×D4—91no—
535C2×D4—181no—
536C2×D4—181no—
537C2×D4—182no—
538C2×D4—182no—
539C2×D4—181no—
540C2×D4—181no—
541C2×D4—182no—
542C2×D4—188no—
543C2×D4—181no—
544C2×D4—181no—
545C2×D4—182no—
546C2×D4—181no—
547C2×D4—181no—
548C2×D4—364no—
549C2×D4C22×C3⋊D311yescharacteristic
550C2×D4C22×C3⋊D311yescharacteristic
551C22×C4—21no—
552C22×C4—91no—
553C22×C4—91no—
554C22×C4—91no—
555C22×C4—91no—
556C22×C4—91no—
557C22×C4—182no—
558C22×C4—182no—
559C22×C4—181no—
560C22×C4—181no—
561C22×C4—188no—
562C22×C4—181no—
563C22×C4—181no—
564C22×C4—181no—
565C22×C4C22×C3⋊D311yescharacteristic
566SD16—22no—
567SD16—182no—
568SD16—182no—
569SD16—182no—
570D8—22no—
571D8—182no—
572D8—182no—
573D8—182no—
574M16—182no—
575M16—182no—
576C2×C8—91no—
577C2×C8—91no—
578C2×C8C22×C3⋊D311yescharacteristic
579C2×C8C22×C3⋊D311yescharacteristic
580C4⋊C4—91no—
581C4⋊C4—181no—
582C4⋊C4C22×C3⋊D311yescharacteristic
583C22⋊C4—21no—
584C22⋊C4—181no—
585C22⋊C4—181no—
586C22⋊C4—181no—
587C22×C3—24no—
588C22×C3—24no—
589C22×C3—24no—
590C22×C3—28no—
591C22×C3—44no—
592C22×C3—44no—
593C22×C3—44no—
594C22×C3—44no—
595C22×C3—44no—
596C22×C3C2×D3×D414yes—
597C2×D3—38no—
598C2×D3—38no—
599C2×D3—64no—
600C2×D3—64no—
601C2×D3—64no—
602C2×D3—64no—
603C2×D3—68no—
604C2×D3—1216no—
605C2×D3—1232no—
606C2×D3—124no—
607C2×D3—124no—
608C2×D3—124no—
609C2×D3—124no—
610C2×D3—124no—
611C2×D3—2416no—
612C3×C4—28no—
613C3×C4—24no—
614C3×C4—44no—
615C3×C4C2×D3×D414yes—
616C3×C4C2×D3×D414yes—
617Dic3—38no—
618Dic3—68no—
619Dic3—64no—
620Dic3—124no—
621C32#300611yescharacteristic, complemented, Sylow
622C23—21no—
623C23—21no—
624C23—91no—
625C23—91no—
626C23—182no—
627C23—182no—
628C23—184no—
629C23—181no—
630C23—181no—
631C23—361no—
632C23—362no—
633C23—362no—
634C23—362no—
635C23—362no—
636C23—362no—
637C23D4×C3⋊D311yescharacteristic
638Q8—21no—
639Q8—92no—
640Q8—184no—
641Q8—181no—
642Q8D4×C3⋊D312yescomplemented
643D4—24no—
644D4—21no—
645D4—21no—
646D4—21no—
647D4—42no—
648D4—92no—
649D4—184no—
650D4—184no—
651D4—184no—
652D4—184no—
653D4—181no—
654D4—181no—
655D4—181no—
656D4—362no—
657D4—362no—
658D4—362no—
659D4—362no—
660D4D4×C3⋊D312yescomplemented
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—91no—
667C2×C4—92no—
668C2×C4—92no—
669C2×C4—91no—
670C2×C4—182no—
671C2×C4—184no—
672C2×C4—182no—
673C2×C4—184no—
674C2×C4—184no—
675C2×C4—182no—
676C2×C4—184no—
677C2×C4—181no—
678C2×C4—181no—
679C2×C4—181no—
680C2×C4—181no—
681C2×C4—362no—
682C2×C4D4×C3⋊D311yescharacteristic
683C2×C4C23×C3⋊D311yescharacteristic
684C8—21no—
685C8—21no—
686C8—181no—
687C8—181no—
688C2×C3—44no—
689C2×C3—48no—
690C2×C3—84no—
691C2×C3D3×#12014yes—
692C2×C3#576814yes—
693C2×C3D3×AGL(1,ℤ/8)14yes—
694D3—68no—
695D3—68no—
696D3—128no—
697D3—244no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—22no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—92no—
708C22—92no—
709C22—181no—
710C22—181no—
711C22—181no—
712C22—181no—
713C22—182no—
714C22—364no—
715C22—368no—
716C22—361no—
717C22—361no—
718C22—361no—
719C22—361no—
720C22—361no—
721C22—724no—
722C22C2×D4×C3⋊D311yescharacteristic
723C4—21no—
724C4—22no—
725C4—41no—
726C4—92no—
727C4—181no—
728C4—182no—
729C4—361no—
730C4C2×D4×C3⋊D311yescharacteristic
731C4C2×D4×C3⋊D311yescharacteristic
732C3#8008414yescomplemented
733C2—41no—
734C2—42no—
735C2—81no—
736C2—182no—
737C2—182no—
738C2—362no—
739C2—721no—
740C2C3⋊D3×#12011yescharacteristic
741C2#1059623911yescharacteristic
742C2C3⋊D3×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC22C2×D4×C3⋊D3
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C23×C3⋊D3
FittingC32×#449C2
socleC22×C32C22×D4
hypercenter#449C3⋊D3
hypocenterC32#3006
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #449

Complements

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

NH ≅ G/Ntype
1. C2×#41×C3⋊D3C2semidirect
2. C2×#64123C2semidirect
3. C2×#64120C2semidirect
4. C3⋊D3×#121C2semidirect
5. C32×#449C2semidirect
6. #10592937C2semidirect
7. #10592869C2semidirect
8. #10592855C2semidirect
9. #10592736C2semidirect
10. #10592505C2semidirect
11. #10592502C2semidirect
12. #10592472C2semidirect
13. #10592470C2semidirect
14. #10592433C2semidirect
15. #10592425C2semidirect
17. C2×C32×#41C22semidirect
21. C2×Q8×C3⋊D3C22semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×D4×C3⋊D3C22semidirect
29. C2×#3828C22semidirect
32. C2×C32×SD16C22semidirect
33. C2×C32×D8C22semidirect
34. C32×#121C22semidirect
35. C2×#3755C22semidirect
38. C2×#3754C22semidirect
39. C2×#3753C22semidirect
40. C2×#3753C22semidirect
41. #64139C22semidirect
44. C2×#3745C22semidirect
45. C2×#3744C22semidirect
46. C2×#3743C22semidirect
47. C2×#3743C22semidirect
49. C4⋊C4×C3⋊D3C22semidirect
52. C32×#103C22semidirect
53. C32×#102C22semidirect
54. C32×C22⋊C8C22semidirect
55. #63662C22semidirect
56. #63659C22semidirect
57. #63657C22semidirect
58. #63648C22semidirect
59. #63647C22semidirect
60. #63647C22semidirect
61. #63643C22semidirect
62. #63637C22semidirect
63. #63636C22semidirect
68. C3×#449D3semidirect
100. #3832D4semidirect
105. #3830D4semidirect
154. C2×C3×#41C2×D3semidirect
169. C2×C3×SD16C2×D3semidirect
170. C2×C3×D8C2×D3semidirect
171. C3×#121C2×D3semidirect
189. C3×#103C2×D3semidirect
190. C3×#102C2×D3semidirect
191. C3×C22⋊C8C2×D3semidirect
218. C32×Q8C2×D4semidirect
224. C32×D4C2×D4semidirect
249. C4⋊(C3⋊D3)C2×D4semidirect
262. #634C2×D4semidirect
274. #449C3⋊D3semidirect
380. C2×C3⋊D3AGL(1,ℤ/8)semidirect
397. C2×#41C2×C3⋊D3semidirect
410. C2×SD16C2×C3⋊D3semidirect
414. C2×D8C2×C3⋊D3semidirect
422. #121C2×C3⋊D3semidirect
428. #103C2×C3⋊D3semidirect
432. #102C2×C3⋊D3semidirect
436. C22⋊C8C2×C3⋊D3semidirect
454. C3×Q8D3×D4semidirect
460. C3×D4D3×D4semidirect
621. C32#3006semidirect
642. Q8D4×C3⋊D3semidirect
660. D4D4×C3⋊D3semidirect
732. C3#80084semidirect

Maximal subgroups

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

subgroupindex
C2×#41×C3⋊D32
C2×#641232
C2×#641202
C3⋊D3×#1212
C32×#4492
#105929372
#105928692
#105928552
#105927362
#105925052
#105925022
#105924722
#105924702
#105924332
#105924252
#800843