Finite Group Databasebeta

← #11872351

Subgroups — #11872351

Order 1152.

840 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593950C211yesmaximal, characteristic, complemented
2#10593889C211yesmaximal, characteristic, complemented
3#10592539C211yesmaximal, characteristic, complemented
4C3×#4848C211yesmaximal, characteristic, complemented
5C3×#4847C211yesmaximal, characteristic, complemented
6#10590964C211yesmaximal, characteristic, complemented
7#10590964C211yesmaximal, characteristic, complemented
8#10590779C211yesmaximal, characteristic, complemented
9#10590775C211yesmaximal, characteristic, complemented
10#10590741C211yesmaximal, characteristic, complemented
11#10590740C211yesmaximal, characteristic, complemented
12#10590650C211yesmaximal, characteristic, complemented
13#10590649C211yesmaximal, characteristic, complemented
14#10590347C211yesmaximal, characteristic, complemented
15#10590286C211yesmaximal, characteristic, complemented
16#81144—31nomaximal
17#80364—31nomaximal
18C2×#3796C2211yescharacteristic
19#64081C2211yescharacteristic
20C2×C3×#204C2211yescharacteristic
21C2×C3×#204C2211yescharacteristic
22C3×#874C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×#870C2211yescharacteristic
25C3×C4×Dic6C2211yescharacteristic
26#63916C2211yescharacteristic
27#63916C2211yescharacteristic
28#63904—21no—
29#63900C2211yescharacteristic
30#63898C2211yescharacteristic
31#63898C2211yescharacteristic
32#63898C2211yescharacteristic
33#63886—21no—
34#63886—21no—
35#63884—21no—
36#63884—21no—
37#63880—21no—
38#63877—21no—
39D3×Dic3⋊C4—21no—
40#63843C2211yescharacteristic
41C2×#3713C2211yescharacteristic
42C2×#3713C2211yescharacteristic
43C32×C4⋊C8C2211yescharacteristic
44#63647C2211yescharacteristic
45#63647C2211yescharacteristic
46#63642C2211yescharacteristic
47C8×C3⋊Dic3C2211yescharacteristic
48C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×#821C2211yescharacteristic
52C3×#821C2211yescharacteristic
53C3×#818C2211yescharacteristic
54C3×#817C2211yescharacteristic
55#63576C2211yescharacteristic
56#63574C2211yescharacteristic
57#63565C2211yescharacteristic
58#63565C2211yescharacteristic
59#63562C2211yescharacteristic
60#63562C2211yescharacteristic
61#5719—31no—
62#5697—31no—
63#5574—31no—
64#5546—31no—
65C3×#478—31no—
66C3×#460—31no—
67#5172—31no—
68#5172—31no—
69#5164—31no—
70Dic3×SD16—31no—
71#5072—31no—
72#5063—31no—
73#5022—31no—
74#5015—31no—
75#4889—31no—
76#4882—31no—
77#4863—31no—
78#4852—31no—
79#4848D311yescharacteristic, complemented
80#4847D311yescharacteristic, complemented
81#4840—31no—
82#4840—31no—
83#4840—61no—
84#4785—31no—
85#4785—31no—
86#4781—31no—
87#4781—31no—
88#4777—31no—
89#4774—31no—
90#4756—31no—
91#4756—31no—
92C2×C4×C3⋊D3C2311yescharacteristic
93C2×C3×D12—21no—
94C2×C3×D12—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×Dic6C2311yescharacteristic
100C2×#626—21no—
101C2×#626—21no—
102C2×#626—21no—
103C2×#624—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108#3796—22no—
109#3796—22no—
110C2×C32×C8C2311yescharacteristic
111C2×C32×C8C2311yescharacteristic
112C32×C42C2311yescharacteristic
113#3752D411yescharacteristic
114#3752D411yescharacteristic
115#3750D411yescharacteristic
116#3750D411yescharacteristic
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C2×C3⋊(C3⋊C8)C2311yescharacteristic
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×Dic3⋊C4—21no—
128C3×C4×Dic3—21no—
129C3×#204—22no—
130C3×#204—22no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3713—22no—
140#3713—22no—
141#3119—91noSylow
142C2×#239—31no—
143C2×#237—31no—
144C2×C3×SD16—31no—
145C2×C3×SD16—31no—
146C3×#127—31no—
147C3×#125—31no—
148C3×C4×Q8—31no—
149C3×C4×D4—31no—
150Q8×Dic3—31no—
151#939—61no—
152#939—61no—
153#938—31no—
154#938—31no—
155#935—61no—
156#935—61no—
157D4×Dic3—31no—
158D4×Dic3—31no—
159D4×Dic3—31no—
160C2×#213—31no—
161C2×#213—31no—
162C2×#213—31no—
163C2×#213—31no—
164C4×#67—61no—
165C2×Dic3⋊C4—61no—
166C2×#204C2×D311yescharacteristic
167C2×#204C2×D311yescharacteristic
168#895—31no—
169#895—31no—
170#895—61no—
171#895—61no—
172#894—61no—
173#894—61no—
174#893—31no—
175#893—31no—
176#893—31no—
177#893—61no—
178D3×C4⋊C4—31no—
179D3×C4⋊C4—31no—
180D3×C4⋊C4—61no—
181#887—31no—
182#67⋊C4—61no—
183#877—61no—
184#874C2×D311yescharacteristic
185C4×D12—61no—
186C4×D12C2×D311yescharacteristic
187#872—31no—
188#872—31no—
189#872—61no—
190#872—61no—
191#870C2×D311yescharacteristic
192C4×Dic6C2×D311yescharacteristic
193C3×#107—31no—
194C3×#106—31no—
195C3×C4⋊C8—21no—
196C3×C4⋊C8C2×D311yescharacteristic
197C3×C4⋊C8C2×D311yescharacteristic
198C3×#102—31no—
199C3×#102—31no—
200C3×#102—31no—
201C3×#102—31no—
202#835—31no—
203#835—31no—
204#832—31no—
205#832—31no—
206#821C2×D311yescharacteristic
207#821C2×D311yescharacteristic
208#821C2×D311yescharacteristic
209#821C2×D311yescharacteristic
210(C2×D3)⋊C8—31no—
211(C2×D3)⋊C8—31no—
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8—61no—
215(C2×D3)⋊C8—61no—
216#818C2×D311yescharacteristic
217#817C2×D311yescharacteristic
218#815—31no—
219#815—31no—
220#815—61no—
221C8×Dic3—31no—
222C8×Dic3—31no—
223C8×Dic3—61no—
224#810—31no—
225#810—31no—
226#809—31no—
227#809—31no—
228#808—31no—
229#808—31no—
230#807—31no—
231#807—31no—
232C4⋊(C3⋊C8)—31no—
233C4⋊(C3⋊C8)—31no—
234C4⋊(C3⋊C8)—61no—
235C22×C3⋊D3C2×D411yescharacteristic
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3—21no—
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3C2×D411yescharacteristic
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245C4×C3⋊D3—21no—
246C4×C3⋊D3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C3×D12—21no—
253C3×D12—21no—
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—81no—
258C3×D12—81no—
259C3×D12#4112yes—
260C3×C4×D3—81no—
261C3×Dic6—21no—
262C3×Dic6#4112yes—
263#626—24no—
264#626—81no—
265#626—81no—
266#624—81no—
267D3×Dic3—24no—
268D3×Dic3—81no—
269D3×Dic3—81no—
270D3×Dic3—81no—
271C32×C8—21no—
272C32×C8—21no—
273C3⋊(C3⋊C8)—21no—
274C3⋊(C3⋊C8)—21no—
275#540—91no—
276#520—91no—
277#481—91no—
278#480—91no—
279#479—91no—
280#478—31no—
281#460—31no—
282#459—91no—
283#449—91no—
284#449—91no—
285#442—91no—
286#440—91no—
287C4×SD16—91no—
288C4×D8—91no—
289#433—91no—
290C2×C3×Q8—31no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C2×C3×D4—31no—
294C2×C3×D4—61no—
295C2×C3×D4—61no—
296C22×C3×C4—61no—
297C2×#67—61no—
298C2×#67—61no—
299C2×#67—61no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303C22×Dic3—61no—
304#239—62no—
305#239—62no—
306#237—62no—
307#237—62no—
308C2×D12—21no—
309C2×D12—21no—
310C2×D12—61no—
311C2×D12—61no—
312C2×D12—61no—
313C2×D12C22×D311yescharacteristic
314C2×D12C22×D311yescharacteristic
315C2×D12C22×D311yescharacteristic
316C2×C4×D3—21no—
317C2×C4×D3—31no—
318C2×C4×D3—31no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—61no—
326C2×Dic6C22×D311yescharacteristic
327C3×SD16—62no—
328C3×SD16—62no—
329C2×C3×C8—21no—
330C2×C3×C8—21no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C42—21no—
344C3×C42—61no—
345C3×C42C22×D311yescharacteristic
346C3×C42C22×D311yescharacteristic
347#217—61no—
348#217—61no—
349#217—61no—
350#217—61no—
351#217—61no—
352#213—62no—
353#213—62no—
354#213—62no—
355#213—62no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—31no—
359(C2×D3)⋊C4—31no—
360(C2×D3)⋊C4—31no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3C22×D311yescharacteristic
370C4⋊Dic3C22×D311yescharacteristic
371C4⋊Dic3C22×D311yescharacteristic
372C4⋊Dic3C22×D311yescharacteristic
373Dic3⋊C4—21no—
374Dic3⋊C4—21no—
375Dic3⋊C4—21no—
376Dic3⋊C4—31no—
377Dic3⋊C4—31no—
378Dic3⋊C4—31no—
379Dic3⋊C4—31no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385C4×Dic3—21no—
386C4×Dic3—31no—
387C4×Dic3—31no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—31no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8—61no—
397#204—22no—
398#204—22no—
399C22×C32C22×D411yescharacteristic
400C2×C3⋊D3—21no—
401C2×C3⋊D3—21no—
402C2×C3⋊D3—21no—
403C2×C3×D3—22no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C32×C4—21no—
413C32×C4—21no—
414C32×C4C2×#4111yescharacteristic
415C32×C4C2×#4111yescharacteristic
416C3⋊Dic3—21no—
417C3⋊Dic3—21no—
418C3⋊Dic3—21no—
419C3×Dic3—22no—
420C3×Dic3—41no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3—41no—
424C2×#41—91no—
425C2×SD16—31no—
426C2×SD16—31no—
427C2×D8—91no—
428C2×D8—91no—
429#127—31no—
430#125—31no—
431#123—181no—
432#123—181no—
433#121—91no—
434#121—91no—
435#121—181no—
436#121—181no—
437C4×Q8—31no—
438C4×Q8—91no—
439C4×D4—31no—
440C4×D4—91no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—181no—
444C4×D4—181no—
445#117—91no—
446#117—181no—
447C2×C4⋊C4—91no—
448C2×C4⋊C4—181no—
449#107—31no—
450#107—91no—
451#106—31no—
452#106—91no—
453C4⋊C8—91no—
454C4⋊C8D3211yescharacteristic
455#103—91no—
456#103—91no—
457#102—31no—
458#102—31no—
459#102—31no—
460#102—31no—
461#102—91no—
462#102—91no—
463C22⋊C8—91no—
464C22⋊C8—91no—
465#97—91no—
466C4×C8—91no—
467C23×C3—61no—
468C23×C3—61no—
469C23×C3—61no—
470C22×D3—21no—
471C22×D3—21no—
472C22×D3—21no—
473C22×D3—31no—
474C22×D3—31no—
475C22×D3—61no—
476C3×Q8—32no—
477C3×Q8—61no—
478C3×D4—32no—
479C3×D4—61no—
480C3×D4—61no—
481C3×D4—61no—
482C3×D4—61no—
483C3×D4—61no—
484C3×D4—241no—
485C3×D4—241no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—241no—
495C2×C3×C4D3×D411yescharacteristic
496C2×C3×C4D3×D411yescharacteristic
497C2×C3×C4D3×D411yescharacteristic
498C2×C3×C4D3×D411yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500C2×C3×C4C23×D311yescharacteristic
501#67—64no—
502#67—241no—
503#67—241no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—31no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—64no—
519C2×Dic3—241no—
520C2×Dic3—241no—
521C2×Dic3—241no—
522D12—21no—
523D12—21no—
524D12—21no—
525D12—21no—
526D12—21no—
527D12—64no—
528D12—81no—
529D12—81no—
530D12—241no—
531D12—241no—
532D12#23912yes—
533C4×D3—64no—
534C4×D3—61no—
535C4×D3—61no—
536C4×D3—61no—
537C4×D3—61no—
538C4×D3—81no—
539C4×D3—121no—
540C4×D3—121no—
541C4×D3—241no—
542C4×D3—241no—
543C4×D3—241no—
544C4×D3—241no—
545C4×D3—241no—
546Dic6—21no—
547Dic6#23712yes—
548C3×C8—21no—
549C3×C8—21no—
550C3×C8—21no—
551C3×C8—21no—
552C3×C8—41no—
553C3×C8—41no—
554C3⋊C8—61no—
555C3⋊C8—61no—
556C3⋊C8—61no—
557C3⋊C8—61no—
558C3⋊C8—121no—
559C3⋊C8—121no—
560C2×C32#52511yescharacteristic
561C2×C32#57611yescharacteristic
562C2×C32#57711yescharacteristic
563C3⋊D3—41no—
564C3×D3—42no—
565C3×D3—81no—
566C3×D3—81no—
567#41—182no—
568#41—182no—
569C2×Q8—31no—
570C2×D4—31no—
571C2×D4—31no—
572C2×D4—31no—
573C2×D4—61no—
574C2×D4—61no—
575C2×D4—181no—
576C2×D4—181no—
577C2×D4—181no—
578C22×C4—61no—
579C22×C4—91no—
580C22×C4—181no—
581C22×C4—181no—
582C22×C4—181no—
583C22×C4—181no—
584C22×C4—181no—
585SD16—62no—
586SD16—62no—
587D8—182no—
588D8—182no—
589C2×C8—91no—
590C2×C8—91no—
591C2×C8C2×D3211yescharacteristic
592C2×C8C2×D3211yescharacteristic
593C4⋊C4—31no—
594C4⋊C4—31no—
595C4⋊C4—31no—
596C4⋊C4—31no—
597C4⋊C4—61no—
598C4⋊C4—61no—
599C4⋊C4—61no—
600C4⋊C4—91no—
601C4⋊C4—91no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C22⋊C4—61no—
605C22⋊C4—91no—
606C22⋊C4—91no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C42—61no—
613C42—91no—
614C42—181no—
615C42C2×D3211yescharacteristic
616C22×C3—21no—
617C22×C3—62no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3C2×D3×D411yescharacteristic
627C22×C3C2×D3×D411yescharacteristic
628C2×D3—22no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—41no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—61no—
638C2×D3—61no—
639C2×D3—61no—
640C2×D3—61no—
641C2×D3—61no—
642C2×D3—61no—
643C2×D3—121no—
644C2×D3—121no—
645C2×D3—121no—
646C3×C4—21no—
647C3×C4—21no—
648C3×C4—21no—
649C3×C4—21no—
650C3×C4—21no—
651C3×C4—21no—
652C3×C4—41no—
653C3×C4—41no—
654C3×C4—62no—
655C3×C4—121no—
656C3×C4—121no—
657C3×C4—121no—
658C3×C4—121no—
659C3×C4C2×#23711yescharacteristic
660C3×C4C2×#23911yescharacteristic
661C3×C4D3×#4111yescharacteristic
662C3×C4D3×#4111yescharacteristic
663Dic3—22no—
664Dic3—41no—
665Dic3—41no—
666Dic3—41no—
667Dic3—41no—
668Dic3—61no—
669Dic3—61no—
670Dic3—61no—
671Dic3—61no—
672Dic3—61no—
673Dic3—61no—
674Dic3—121no—
675Dic3—121no—
676Dic3—121no—
677C32#311911yescharacteristic, complemented, Sylow
678C23—61no—
679C23—61no—
680C23—61no—
681C23—91no—
682Q8—32no—
683Q8—61no—
684D4—32no—
685D4—61no—
686D4—61no—
687D4—61no—
688D4—61no—
689D4—61no—
690D4—184no—
691D4—241no—
692D4—241no—
693D4—721no—
694D4—721no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—61no—
700C2×C4—91no—
701C2×C4—91no—
702C2×C4—91no—
703C2×C4—184no—
704C2×C4—181no—
705C2×C4—181no—
706C2×C4—241no—
707C2×C4—721no—
708C2×C4—721no—
709C2×C4—721no—
710C2×C4—721no—
711C2×C4#380211yescharacteristic
712C2×C4#380211yescharacteristic
713C2×C4C22×D3211yescharacteristic
714C8—21no—
715C8—21no—
716C8—181no—
717C8—181no—
718C2×C3—21no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—122no—
722C2×C3—241no—
723C2×C3—241no—
724C2×C3#560611yescharacteristic
725C2×C3#562711yescharacteristic
726C2×C3#576211yescharacteristic
727C2×C3#577011yescharacteristic
728C2×C3#577411yescharacteristic
729C2×C3#577411yescharacteristic
730D3—42no—
731D3—81no—
732D3—81no—
733D3—121no—
734D3—121no—
735D3—241no—
736C22—62no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22—121no—
744C22—121no—
745C22—181no—
746C22—181no—
747C22—181no—
748C22C2×#380211yescharacteristic
749C4—21no—
750C4—21no—
751C4—62no—
752C4—121no—
753C4—121no—
754C4—121no—
755C4—121no—
756C4—181no—
757C4—181no—
758C4—181no—
759C4D3×#23711yescharacteristic
760C4D3×#23911yescharacteristic
761C3—21no—
762C3#8036411yescharacteristic, complemented
763C3#8114411yescharacteristic, complemented
764C2—122no—
765C2—241no—
766C2—241no—
767C2—361no—
768C2#1059463211yescharacteristic
769C2#1059468611yescharacteristic
770C2#1059472011yescharacteristic
subgroupG/H
centerC22C2×#3802
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
hypercenterC4⋊C8D32
hypocenterC32#3119
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. #10593950C2semidirect
2. #10593889C2semidirect
3. #10592539C2semidirect
4. C3×#4848C2semidirect
5. C3×#4847C2semidirect
6. #10590964C2semidirect
7. #10590964C2semidirect
8. #10590779C2semidirect
9. #10590775C2semidirect
10. #10590741C2semidirect
11. #10590740C2semidirect
12. #10590650C2semidirect
13. #10590649C2semidirect
14. #10590347C2semidirect
15. #10590286C2semidirect
79. #4848D3semidirect
80. #4847D3semidirect
677. C32#3119semidirect
762. C3#80364semidirect
763. C3#81144semidirect

Maximal subgroups

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

subgroupindex
#105939502
#105938892
#105925392
C3×#48482
C3×#48472
#105909642
#105907792
#105907752
#105907412
#105907402
#105906502
#105906492
#105903472
#105902862
#811443
#803643