Finite Group Databasebeta

← #11895747

Subgroups — #11895747

Order 1152.

843 conjugacy classes of subgroups.

The subgroup lattice has 767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5553C211yesmaximal, characteristic, complemented
2#10593929C211yesmaximal, characteristic, complemented
3#10592708C211yesmaximal, characteristic, complemented
4C3×#5014C211yesmaximal, characteristic, complemented
5#10591487C211yesmaximal, characteristic, complemented
6#10591477C211yesmaximal, characteristic, complemented
7#10591428C211yesmaximal, characteristic, complemented
8#10591428C211yesmaximal, characteristic, complemented
9#10590558C211yesmaximal, characteristic, complemented
10#10590545C211yesmaximal, characteristic, complemented
11#10590455C211yesmaximal, characteristic, complemented
12#10590452C211yesmaximal, characteristic, complemented
13#10590347C211yesmaximal, characteristic, complemented
14#10590275C211yesmaximal, characteristic, complemented
15#10590251C211yesmaximal, characteristic, complemented
16#83581—31nomaximal
17#79851—31nomaximal
18C2×C3×#235—21no—
19C32×C4×D4C2211yescharacteristic
20#64079C2211yescharacteristic
21C3×#940C2211yescharacteristic
22C3×#940C2211yescharacteristic
23C2×C3×#213C2211yescharacteristic
24C3×#930—21no—
25C3×#893C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×#884—21no—
28C3×#884—21no—
29C3×#874C2211yescharacteristic
30C3×C4×D12C2211yescharacteristic
31C3×C4×Dic6C2211yescharacteristic
32#63918C2211yescharacteristic
33#63899—21no—
34Dic3×D12C2211yescharacteristic
35Dic3×D12C2211yescharacteristic
36#63887—21no—
37D3×Dic3⋊C4—21no—
38#63869C2211yescharacteristic
39#63851—21no—
40C2×#3713C2211yescharacteristic
41C2×#3713C2211yescharacteristic
42#63659C2211yescharacteristic
43#63659C2211yescharacteristic
44#63635C2211yescharacteristic
45#63634C2211yescharacteristic
46C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#809C2211yescharacteristic
49C3×#808C2211yescharacteristic
50C3×#803C2211yescharacteristic
51Dic3⋊(C3⋊C8)C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63563C2211yescharacteristic
54#63563C2211yescharacteristic
55#63563C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#550—31no—
62#5579—31no—
63#5553D311yescharacteristic, complemented
64#5539—31no—
65C3×#442—31no—
66#5150—31no—
67#5150—31no—
68#5072—31no—
69#5072—31no—
70#5072—31no—
71#5071—31no—
72#5071—31no—
73#5070—31no—
74#5024—31no—
75#5015—31no—
76#5014—31no—
77#5014D311yescharacteristic, complemented
78C4×#213—31no—
79#5009—31no—
80#5009—31no—
81#5009—31no—
82#5009—61no—
83#5008—31no—
84#4871—31no—
85#4870—31no—
86#4785—31no—
87#4764—31no—
88#4760—31no—
89#4756—31no—
90#4713—31no—
91#4701—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C2×C3×#67—21no—
95C2×C3×#67—21no—
96C2×C3×#67—21no—
97C2×C3×#67—21no—
98C3×#235—44no—
99C2×C3×D12—21no—
100C2×C3×D12—21no—
101C2×C3×D12C2311yescharacteristic
102C2×C3×D12C2311yescharacteristic
103C2×C3×D12C2311yescharacteristic
104C2×C3×C4×D3—21no—
105C2×C3×C4×D3—21no—
106C2×C3×C4×D3—21no—
107C2×C3×Dic6D411yescharacteristic
108C2×#627—21no—
109C2×D3×Dic3—21no—
110C2×D3×Dic3—21no—
111C32×C4⋊C4C2311yescharacteristic
112C32×C22⋊C4—21no—
113C32×C42C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116#3750—21no—
117#3750—21no—
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C2×C3⋊(C3⋊C8)C2311yescharacteristic
120C3×#213—22no—
121C3×(C2×D3)⋊C4—21no—
122C3×(C2×D3)⋊C4—21no—
123C3×(C2×D3)⋊C4—21no—
124C3×C4⋊Dic3D411yescharacteristic
125C3×C4⋊Dic3C2311yescharacteristic
126C3×Dic3⋊C4D411yescharacteristic
127C3×Dic3⋊C4D411yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C3×C4×Dic3C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137#3713—22no—
138#3713—22no—
139#3366—91noSylow
140C2×C3×#41—61no—
141C2×#235—21no—
142C2×C3×D8—31no—
143C3×#127—31no—
144C3×#127—31no—
145C3×#127—31no—
146C3×#121—61no—
147C3×#121—61no—
148C3×#121—61no—
149C3×C4×Q8—31no—
150C3×C4×D4—21no—
151C3×C4×D4—31no—
152C3×C4×D4—31no—
153C3×C4×D4—31no—
154C3×C4×D4C2×D311yescharacteristic
155C3×C4×D4C2×D311yescharacteristic
156#946—61no—
157#940C2×D311yescharacteristic
158#940C2×D311yescharacteristic
159D4×Dic3—31no—
160D4×Dic3—31no—
161C2×#213—31no—
162C2×#213—31no—
163C2×#213—31no—
164C2×#213—31no—
165C2×#213C2×D311yescharacteristic
166#930—21no—
167#924—61no—
168C2×Dic3⋊C4—61no—
169#896—61no—
170#896—61no—
171#893C2×D311yescharacteristic
172#893C2×D311yescharacteristic
173D3×C4⋊C4—61no—
174#890—31no—
175#888—31no—
176#884—21no—
177#884—21no—
178#878—61no—
179#878—61no—
180#874C2×D311yescharacteristic
181C4×D12—31no—
182C4×D12—31no—
183C4×D12C2×D311yescharacteristic
184#870—31no—
185#870—31no—
186#870—31no—
187#870—61no—
188#869—31no—
189C4×Dic6C2×D311yescharacteristic
190C3×#106—31no—
191C3×#102—31no—
192C3×#102—31no—
193C3×#97—31no—
194#832—31no—
195#832—31no—
196#832—31no—
197#832—31no—
198#832—31no—
199#832—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#832—61no—
205#832—61no—
206#832C2×D311yescharacteristic
207#821—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#815—31no—
212Dic3⋊C8—31no—
213Dic3⋊C8—31no—
214C8×Dic3—31no—
215#809—31no—
216#809—31no—
217#809C2×D311yescharacteristic
218#808—31no—
219#808—31no—
220#808—61no—
221#808C2×D311yescharacteristic
222#807—31no—
223#807—31no—
224#807—61no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)—31no—
228C4⋊(C3⋊C8)—31no—
229C4⋊(C3⋊C8)—61no—
230#803—31no—
231#803C2×D311yescharacteristic
232C4×C3⋊C8—31no—
233C23×C32—21no—
234C22×C3×D3—21no—
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C32×D4—21no—
238C32×D4—21no—
239C2×C32×C4—21no—
240C2×C32×C4—42no—
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C3×#67—42no—
247C3×#67—42no—
248C3×#67—81no—
249C3×#67—81no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—21no—
259C3×D12—21no—
260C3×D12—42no—
261C3×D12—81no—
262C3×D12#4112yescomplemented
263C3×C4×D3—42no—
264C3×C4×D3—42no—
265C3×C4×D3—81no—
266C3×Dic6—22no—
267#627—81no—
268D3×Dic3—42no—
269D3×Dic3—81no—
270C3⋊(C3⋊C8)—21no—
271C3⋊(C3⋊C8)—21no—
272C3×C3⋊C8—21no—
273C3×C3⋊C8—21no—
274#554—91no—
275#550—31no—
276#490—91no—
277#490—91no—
278#486—91no—
279#478—91no—
280#478—91no—
281#476—91no—
282#459—91no—
283#459—91no—
284#459—91no—
285#446—91no—
286#442—31no—
287#442—91no—
288C4×D8—91no—
289C3×#41—124no—
290C2×C3×Q8—31no—
291C2×C3×D4—21no—
292C2×C3×D4—31no—
293C2×C3×D4—31no—
294C2×C3×D4—31no—
295C2×C3×D4—61no—
296C2×C3×D4—61no—
297C2×C3×D4—61no—
298C2×C3×D4—61no—
299C2×C3×D4—61no—
300C2×C3×D4—61no—
301C2×C3×D4C22×D311yescharacteristic
302C2×C3×D4C22×D311yescharacteristic
303C22×C3×C4—21no—
304C22×C3×C4—21no—
305C22×C3×C4—41no—
306C22×C3×C4—61no—
307C22×C3×C4—61no—
308C22×C3×C4—61no—
309C2×#67—21no—
310C2×#67—21no—
311C2×#67—21no—
312C2×#67—21no—
313C22×Dic3—61no—
314C22×Dic3—61no—
315#235—44no—
316C2×D12—21no—
317C2×D12—21no—
318C2×D12C22×D311yescharacteristic
319C2×D12C22×D311yescharacteristic
320C2×D12C22×D311yescharacteristic
321C2×C4×D3—21no—
322C2×C4×D3—21no—
323C2×C4×D3—21no—
324C2×C4×D3—61no—
325C2×C4×D3—61no—
326C2×Dic6—61no—
327C2×Dic6—61no—
328C2×Dic6#6711yescharacteristic
329C3×D8—62no—
330C2×C3×C8—31no—
331C2×C3×C8—31no—
332C3×C4⋊C4—21no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C22⋊C4—21no—
340C3×C22⋊C4—21no—
341C3×C22⋊C4—41no—
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C22⋊C4—61no—
345C3×C42—21no—
346C3×C42—31no—
347C3×C42—31no—
348C3×C42C22×D311yescharacteristic
349C3×C42C22×D311yescharacteristic
350#217—61no—
351#217—61no—
352#213—22no—
353#213—62no—
354#213—62no—
355#213—62no—
356#213—62no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—21no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3#6711yescharacteristic
371C4⋊Dic3C22×D311yescharacteristic
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—121no—
381Dic3⋊C4—121no—
382Dic3⋊C4#6711yescharacteristic
383Dic3⋊C4#6711yescharacteristic
384C4×Dic3C22×D311yescharacteristic
385C4×Dic3C22×D311yescharacteristic
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8—61no—
392C2×C3⋊C8C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394C22×C32—41no—
395C22×C32—41no—
396C22×C32—41no—
397C22×C32C22×D411yescharacteristic
398C2×C3×D3—22no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C32×C4—21no—
408C32×C4—21no—
409C32×C4—41no—
410C32×C4C2×#4111yescharacteristic
411C32×C42−1+411yescharacteristic
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3AGL(1,ℤ/8)12yes—
419C2×#41—61no—
420C2×D8—31no—
421C2×D8—91no—
422C2×D8—91no—
423C4⋊Q8—91no—
424#127—31no—
425#127—31no—
426#127—31no—
427#125—91no—
428#125—91no—
429C22⋊Q8—181no—
430C22⋊Q8—181no—
431C22⋊Q8—181no—
432#121—61no—
433#121—61no—
434#121—61no—
435C4×Q8—31no—
436C4×D4—31no—
437C4×D4—31no—
438C4×D4—31no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4D3211yescharacteristic
442C2×C4⋊C4—181no—
443#107—91no—
444#106—31no—
445#106—91no—
446C4⋊C8—91no—
447C4⋊C8—91no—
448C4⋊C8—91no—
449#102—31no—
450#102—31no—
451#102—91no—
452#102—91no—
453#102—91no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459#97—31no—
460#97—91no—
461C4×C8—91no—
462C23×C3—21no—
463C23×C3—21no—
464C23×C3—41no—
465C23×C3—61no—
466C23×C3—61no—
467C23×C3—61no—
468C22×D3—21no—
469C22×D3—21no—
470C22×D3—21no—
471C3×Q8—62no—
472C3×D4—22no—
473C3×D4—21no—
474C3×D4—21no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—32no—
478C3×D4—41no—
479C3×D4—61no—
480C3×D4—61no—
481C3×D4—61no—
482C3×D4—61no—
483C3×D4—61no—
484C3×D4—122no—
485C3×D4—122no—
486C3×D4—122no—
487C3×D4—241no—
488C3×D4—241no—
489C3×D4—241no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—31no—
498C2×C3×C4—31no—
499C2×C3×C4—41no—
500C2×C3×C4—42no—
501C2×C3×C4—42no—
502C2×C3×C4—61no—
503C2×C3×C4—82no—
504C2×C3×C4—122no—
505C2×C3×C4—122no—
506C2×C3×C4—241no—
507C2×C3×C4D3×D411yescharacteristic
508C2×C3×C4D3×D411yescharacteristic
509C2×C3×C4C2×#6711yescharacteristic
510C2×C3×C4C2×#6711yescharacteristic
511C2×C3×C4C23×D311yescharacteristic
512C2×C3×C4C23×D311yescharacteristic
513#67—42no—
514#67—42no—
515#67—81no—
516#67—81no—
517C2×Dic3—21no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—121no—
523C2×Dic3—121no—
524C2×Dic3—122no—
525C2×Dic3—241no—
526C2×Dic3C2×#6711yescharacteristic
527C2×Dic3C2×#6711yescharacteristic
528C2×Dic3C2×#6711yescharacteristic
529C2×Dic3C2×#6711yescharacteristic
530D12—21no—
531D12—21no—
532D12—21no—
533D12—21no—
534D12—21no—
535D12—42no—
536D12—81no—
537D12#23512yescomplemented
538C4×D3—42no—
539C4×D3—42no—
540C4×D3—81no—
541C4×D3—122no—
542C4×D3—241no—
543Dic6—22no—
544Dic6—241no—
545Dic6—241no—
546C3×C8—61no—
547C3×C8—61no—
548C3⋊C8—21no—
549C3⋊C8—21no—
550C3⋊C8—61no—
551C3⋊C8—61no—
552C3⋊C8—61no—
553C3⋊C8—61no—
554C3⋊C8—121no—
555C3⋊C8—121no—
556C2×C32—81no—
557C2×C32#54811yescharacteristic
558C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
559C2×C32#57611yescharacteristic
560C3×D3—42no—
561C3×D3—81no—
562C3×D3—81no—
563#41—124no—
564C2×Q8—31no—
565C2×Q8—181no—
566C2×D4—31no—
567C2×D4—31no—
568C2×D4—31no—
569C2×D4—61no—
570C2×D4—61no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4—61no—
574C2×D4—61no—
575C2×D4C2×D3211yescharacteristic
576C22×C4—21no—
577C22×C4—61no—
578C22×C4—61no—
579C22×C4—61no—
580C22×C4—181no—
581C22×C4—181no—
582D8—62no—
583D8—182no—
584D8—182no—
585C2×C8—31no—
586C2×C8—31no—
587C2×C8—91no—
588C2×C8—91no—
589C4⋊C4—31no—
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—31no—
593C4⋊C4—91no—
594C4⋊C4—91no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4C2×D3211yescharacteristic
601C22⋊C4—21no—
602C22⋊C4—61no—
603C22⋊C4—61no—
604C22⋊C4—61no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C42—31no—
608C42—31no—
609C42C2×D3211yescharacteristic
610C22×C3—21no—
611C22×C3—42no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—62no—
619C22×C3—81no—
620C22×C3—81no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3—121no—
627C22×C3—121no—
628C22×C3—121no—
629C22×C3C2×D3×D411yescharacteristic
630C22×C3C22×#6711yescharacteristic
631C2×D3—22no—
632C2×D3—41no—
633C2×D3—41no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—41no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—21no—
646C3×C4—32no—
647C3×C4—41no—
648C3×C4—41no—
649C3×C4—41no—
650C3×C4—41no—
651C3×C4—61no—
652C3×C4—61no—
653C3×C4—61no—
654C3×C4—81no—
655C3×C4—121no—
656C3×C4C2×#23511yescharacteristic
657C3×C4D3×#4111yescharacteristic
658C3×C4#101011yescharacteristic
659C3×C4#101011yescharacteristic
660Dic3—21no—
661Dic3—21no—
662Dic3—21no—
663Dic3—41no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—121no—
668Dic3—241no—
669Dic3—241no—
670Dic3#93212yes—
671C32#336611yescharacteristic, complemented, Sylow
672C23—21no—
673C23—61no—
674C23—61no—
675C23—61no—
676Q8—62no—
677Q8—721no—
678D4—21no—
679D4—21no—
680D4—32no—
681D4—61no—
682D4—61no—
683D4—61no—
684D4—61no—
685D4—61no—
686D4—122no—
687D4—122no—
688D4—122no—
689D4—241no—
690D4—241no—
691D4—241no—
692C2×C4—21no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—31no—
696C2×C4—31no—
697C2×C4—42no—
698C2×C4—61no—
699C2×C4—122no—
700C2×C4—122no—
701C2×C4—181no—
702C2×C4—181no—
703C2×C4—241no—
704C2×C4—362no—
705C2×C4—721no—
706C2×C4D3×#6711yescharacteristic
707C2×C4D3×#6711yescharacteristic
708C2×C4C22×D3211yescharacteristic
709C8—61no—
710C8—61no—
711C8—181no—
712C8—181no—
713C2×C3—21no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—82no—
717C2×C3—81no—
718C2×C3—81no—
719C2×C3—122no—
720C2×C3—241no—
721C2×C3—241no—
722C2×C3#555211yescharacteristic
723C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
724C2×C3#577411yescharacteristic
725C2×C3C2×#93211yescharacteristic
726C2×C3#583111yescharacteristic
727C2×C3#583511yescharacteristic
728D3—42no—
729D3—81no—
730D3—81no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—62no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22C2×D3×#6711yescharacteristic
744C4—21no—
745C4—21no—
746C4—32no—
747C4—41no—
748C4—61no—
749C4—61no—
750C4—61no—
751C4—121no—
752C4—361no—
753C4—361no—
754C4#6429811yescharacteristic
755C4D3×#23511yescharacteristic
756C3—21no—
757C3#7985111yescharacteristic, complemented
758C3#8358111yescharacteristic, complemented
759C2—81no—
760C2—122no—
761C2—241no—
762C2—241no—
763C2#1059489911yescharacteristic
764C2D3×#93211yescharacteristic
765C2#1059545411yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
hypercenterC4×D4D32
hypocenterC32#3366
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C3×#5553C2semidirect
2. #10593929C2semidirect
3. #10592708C2semidirect
4. C3×#5014C2semidirect
5. #10591487C2semidirect
6. #10591477C2semidirect
7. #10591428C2semidirect
8. #10591428C2semidirect
9. #10590558C2semidirect
10. #10590545C2semidirect
11. #10590455C2semidirect
12. #10590452C2semidirect
13. #10590347C2semidirect
14. #10590275C2semidirect
15. #10590251C2semidirect
63. #5553D3semidirect
77. #5014D3semidirect
262. C3×D12#41semidirect
537. D12#235semidirect
671. C32#3366semidirect
757. C3#79851semidirect
758. C3#83581semidirect

Maximal subgroups

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

subgroupindex
C3×#55532
#105939292
#105927082
C3×#50142
#105914872
#105914772
#105914282
#105905582
#105905452
#105904552
#105904522
#105903472
#105902752
#105902512
#835813
#798513