Finite Group Databasebeta

← #11872847

Subgroups — #11872847

Order 1152.

836 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593996C211yesmaximal, characteristic
2#10593867C211yesmaximal, characteristic, complemented
3#10592539C211yesmaximal, characteristic, complemented
4C3×#4847C211yesmaximal, characteristic, complemented
5C3×#4841C211yesmaximal, characteristic, complemented
6#10590943C211yesmaximal, characteristic
7#10590943C211yesmaximal, characteristic
8#10590779C211yesmaximal, characteristic, complemented
9#10590775C211yesmaximal, characteristic, complemented
10#10590743C211yesmaximal, characteristic, complemented
11#10590742C211yesmaximal, characteristic, complemented
12#10590715C211yesmaximal, characteristic, complemented
13#10590713C211yesmaximal, characteristic, complemented
14#10590363C211yesmaximal, characteristic, complemented
15#10590270C211yesmaximal, characteristic, complemented
16#81147—31nomaximal
17#80413—31nomaximal
18C2×#3802C2211yescharacteristic
19#64081C2211yescharacteristic
20C2×C3×#204C2211yescharacteristic
21C2×C3×#204C2211yescharacteristic
22C3×C4×D12C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×#870C2211yescharacteristic, complemented
25C3×#869C2211yescharacteristic, complemented
26D3×(C2×D3)⋊C4—21no—
27D3×(C2×D3)⋊C4—21no—
28#63898C2211yescharacteristic
29#63898C2211yescharacteristic
30#63879—21no—
31#63879—21no—
32#63871C2211yescharacteristic
33#63871C2211yescharacteristic
34#63849C2211yescharacteristic
35#63848—21no—
36#63848—21no—
37#63846—21no—
38#63846—21no—
39#63843C2211yescharacteristic, complemented
40#63843C2211yescharacteristic, complemented
41C2×#3715C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43C32×C4⋊C8C2211yescharacteristic, complemented
44#63647C2211yescharacteristic
45#63647C2211yescharacteristic
46#63642C2211yescharacteristic, complemented
47C8×C3⋊Dic3C2211yescharacteristic, complemented
48C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic, complemented
49C3×#821C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×#818C2211yescharacteristic, complemented
52C3×#817C2211yescharacteristic, complemented
53C3×#816C2211yescharacteristic, complemented
54C3×#816C2211yescharacteristic, complemented
55#63576C2211yescharacteristic, complemented
56#63574C2211yescharacteristic, complemented
57#63565C2211yescharacteristic, complemented
58#63565C2211yescharacteristic, complemented
59#63562C2211yescharacteristic
60#63562C2211yescharacteristic
61#5731—31no—
62#5698—31no—
63#5545—31no—
64#5545—31no—
65C3×#478—31no—
66C3×#461—31no—
67#5169—31no—
68#5169—31no—
69#5164—31no—
70Dic3×SD16—31no—
71#5083—31no—
72#5066—31no—
73#5019—31no—
74#5009—31no—
75#4889—31no—
76#4888—31no—
77#4868—31no—
78#4852—31no—
79#4847D311yescharacteristic, complemented
80#4841D311yescharacteristic, complemented
81#4840—31no—
82#4840—31no—
83#4840—61no—
84#4817—31no—
85#4815—31no—
86#4814—31no—
87#4788—31no—
88#4776—31no—
89#4776—31no—
90#4758—31no—
91#4757—31no—
92C22×D32—21no—
93C2×C4×C3⋊D3C2311yescharacteristic
94C2×C3×D12C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3—21no—
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#625—21no—
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103#3802—22no—
104#3802—22no—
105C2×C32×C8C2311yescharacteristic
106C2×C32×C8C2311yescharacteristic
107C32×C42C2311yescharacteristic
108#3752D411yescharacteristic
109#3752D411yescharacteristic
110#3750D411yescharacteristic
111#3750D411yescharacteristic
112C4×C3⋊Dic3C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×#204—22no—
126C3×#204—22no—
127Dic3⋊Dic3—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131#3722—21no—
132#3722—21no—
133#3722—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136Dic32—21no—
137Dic32—21no—
138Dic32—21no—
139#3715—22no—
140#3715—22no—
141#3123—91noSylow
142C2×D3×D4—31no—
143C2×D3×D4—31no—
144C2×C3×SD16—31no—
145C2×C3×SD16—31no—
146C3×C4⋊Q8—31no—
147C3×#125—31no—
148C3×C4×D4—31no—
149C3×C4×D4—31no—
150#946—31no—
151#946—31no—
152Q8×Dic3—31no—
153Q8×Dic3—31no—
154C2×#215—31no—
155C2×#215—31no—
156D4×Dic3—31no—
157D4×Dic3—31no—
158C2×#214—31no—
159C2×#214—31no—
160C4×#67—61no—
161C4×#67—61no—
162C2×(C2×D3)⋊C4—61no—
163C2×(C2×D3)⋊C4—61no—
164C2×#204C2×D311yescharacteristic
165C2×#204C2×D311yescharacteristic
166#898—61no—
167#898—61no—
168#898—61no—
169#898—61no—
170#897—31no—
171#897—31no—
172#893—31no—
173#893—31no—
174#892—31no—
175#892—31no—
176#890—61no—
177#890—61no—
178#889—61no—
179#889—61no—
180#887—31no—
181#887—31no—
182#67⋊C4—61no—
183#67⋊C4—61no—
184D3×C22⋊C4—61no—
185D3×C22⋊C4—61no—
186C4×D12C2×D311yescharacteristic
187C4×D12C2×D311yescharacteristic
188#872—31no—
189#872—31no—
190#872—61no—
191#870C2×D311yescharacteristic, complemented
192#869C2×D311yescharacteristic, complemented
193C3×#107—31no—
194C3×#106—31no—
195C3×C4⋊C8—21no—
196C3×C4⋊C8C2×D311yescharacteristic, complemented
197C3×C4⋊C8C2×D311yescharacteristic, complemented
198C3×#103—31no—
199C3×#103—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(C2×D3)⋊C8—31no—
209(C2×D3)⋊C8—31no—
210(C2×D3)⋊C8—31no—
211(C2×D3)⋊C8—31no—
212(C2×D3)⋊C8—61no—
213(C2×D3)⋊C8—61no—
214#818C2×D311yescharacteristic, complemented
215#817C2×D311yescharacteristic, complemented
216#816C2×D311yescharacteristic, complemented
217#816C2×D311yescharacteristic, complemented
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—
238C2×D32—24no—
239C2×D32—81no—
240C2×D32—81no—
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4×C3⋊D3—21no—
248C4×C3⋊D3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12#4112yes—
258C3×D12#4112yes—
259C3×C4×D3—81no—
260C3×C4×D3—81no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265#625—24no—
266D3×Dic3—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C32×C8—21no—
270C3⋊(C3⋊C8)—21no—
271C3⋊(C3⋊C8)—21no—
272#541—91no—
273#518—91no—
274#485—91no—
275#485—91no—
276#478—31no—
277#478—91no—
278#461—31no—
279#461—91no—
280#450—91no—
281#450—91no—
282#440—91no—
283#440—91no—
284C4×SD16—91no—
285C4×SD16—91no—
286#433—91no—
287C23×D3—61no—
288C23×D3—61no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C22×C3×C4—61no—
294C22×C3×C4—61no—
295C2×#67—61no—
296C2×#67—61no—
297C22×Dic3—61no—
298C22×Dic3—61no—
299D3×D4—62no—
300D3×D4—62no—
301D3×D4—62no—
302D3×D4—62no—
303C2×D12C22×D311yescharacteristic
304C2×D12C22×D311yescharacteristic
305C2×C4×D3—21no—
306C2×C4×D3—21no—
307C2×C4×D3—31no—
308C2×C4×D3—31no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×Dic6C22×D311yescharacteristic
313C2×Dic6C22×D311yescharacteristic
314C3×SD16—62no—
315C3×SD16—62no—
316C2×C3×C8—21no—
317C2×C3×C8—21no—
318C2×C3×C8C22×D311yescharacteristic
319C2×C3×C8C22×D311yescharacteristic
320C2×C3×C8C22×D311yescharacteristic
321C2×C3×C8C22×D311yescharacteristic
322C3×C4⋊C4—31no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—31no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C42—21no—
333C3×C42C22×D311yescharacteristic
334C3×C42C22×D311yescharacteristic
335#217—61no—
336#217—61no—
337#215—62no—
338#215—62no—
339#214—62no—
340#214—62no—
341(C2×D3)⋊C4—21no—
342(C2×D3)⋊C4—21no—
343(C2×D3)⋊C4—31no—
344(C2×D3)⋊C4—31no—
345(C2×D3)⋊C4—31no—
346(C2×D3)⋊C4—31no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357C4⋊Dic3—21no—
358C4⋊Dic3—21no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3C22×D311yescharacteristic
364C4⋊Dic3C22×D311yescharacteristic
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367Dic3⋊C4—21no—
368Dic3⋊C4—21no—
369Dic3⋊C4—31no—
370Dic3⋊C4—31no—
371Dic3⋊C4—31no—
372Dic3⋊C4—31no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379C4×Dic3—31no—
380C4×Dic3—31no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8—61no—
394#204—22no—
395#204—22no—
396C22×C32C22×D411yescharacteristic
397C2×C3⋊D3—21no—
398C2×C3⋊D3—21no—
399C2×C3⋊D3—21no—
400C2×C3×D3—22no—
401C2×C3×D3—22no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406D32—84no—
407C32×C4—21no—
408C32×C4—21no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—21no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C22×D4—91no—
421C2×SD16—31no—
422C2×SD16—31no—
423C2×SD16—91no—
424C2×SD16—91no—
425C4⋊Q8—31no—
426#126—181no—
427#126—181no—
428#125—31no—
429#125—181no—
430#125—181no—
431C22⋊Q8—91no—
432C22⋊Q8—91no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—31no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—181no—
440C4×D4—181no—
441#117—91no—
442#117—91no—
443C2×C22⋊C4—181no—
444C2×C22⋊C4—181no—
445#107—31no—
446#107—91no—
447#106—31no—
448#106—91no—
449C4⋊C8—91no—
450C4⋊C8D3211yescharacteristic, complemented
451#103—31no—
452#103—31no—
453#103—91no—
454#103—91no—
455#102—31no—
456#102—31no—
457#102—91no—
458#102—91no—
459C22⋊C8—91no—
460C22⋊C8—91no—
461#97—91no—
462C4×C8—91no—
463C23×C3—61no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—21no—
467C22×D3—31no—
468C22×D3—31no—
469C22×D3—61no—
470C22×D3—64no—
471C22×D3—64no—
472C22×D3—241no—
473C22×D3—241no—
474C22×D3—241no—
475C22×D3—241no—
476C3×Q8—61no—
477C3×Q8—61no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×D4—32no—
481C3×D4—32no—
482C3×D4—61no—
483C3×D4—61no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—241no—
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—64no—
503C2×Dic3—21no—
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—241no—
519C2×Dic3—241no—
520D12—21no—
521D12—21no—
522D12#23712yes—
523D12#23912yes—
524C4×D3—61no—
525C4×D3—61no—
526C4×D3—61no—
527C4×D3—61no—
528C4×D3—81no—
529C4×D3—81no—
530C4×D3—121no—
531C4×D3—121no—
532C4×D3—241no—
533C4×D3—241no—
534Dic6—21no—
535Dic6—21no—
536Dic6—21no—
537Dic6—21no—
538C3×C8—21no—
539C3×C8—21no—
540C3×C8—21no—
541C3×C8—21no—
542C3×C8—41no—
543C3×C8—41no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—121no—
549C3⋊C8—121no—
550C2×C32#52511yescharacteristic
551C2×C32#57711yescharacteristic
552C2×C32#57711yescharacteristic
553C3⋊D3—41no—
554C3×D3—42no—
555C3×D3—42no—
556C24—181no—
557C2×Q8—31no—
558C2×Q8—31no—
559C2×D4—31no—
560C2×D4—31no—
561C2×D4—181no—
562C2×D4—182no—
563C2×D4—182no—
564C22×C4—61no—
565C22×C4—61no—
566C22×C4—91no—
567C22×C4—181no—
568C22×C4—181no—
569SD16—62no—
570SD16—62no—
571SD16—182no—
572SD16—182no—
573C2×C8—91no—
574C2×C8—91no—
575C2×C8C2×D3211yescharacteristic
576C2×C8C2×D3211yescharacteristic
577C4⋊C4—31no—
578C4⋊C4—31no—
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—91no—
586C4⋊C4—91no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—91no—
594C22⋊C4—91no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C42—91no—
601C42—181no—
602C42—181no—
603C42—181no—
604C42C2×D3211yescharacteristic
605C22×C3—21no—
606C22×C3—62no—
607C22×C3—62no—
608C22×C3—121no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3C2×D3×D411yescharacteristic
613C22×C3C2×D3×D411yescharacteristic
614C2×D3—22no—
615C2×D3—22no—
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—61no—
621C2×D3—61no—
622C2×D3—61no—
623C2×D3—61no—
624C2×D3—61no—
625C2×D3—61no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—244no—
630C2×D3—244no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—121no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4C2×#23711yescharacteristic
646C3×C4C2×#23911yescharacteristic
647C3×C4D3×#4111yescharacteristic
648C3×C4D3×#4111yescharacteristic
649Dic3—41no—
650Dic3—41no—
651Dic3—41no—
652Dic3—41no—
653Dic3—41no—
654Dic3—41no—
655Dic3—61no—
656Dic3—61no—
657Dic3—61no—
658Dic3—61no—
659Dic3—61no—
660Dic3—61no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664C32#312311yescharacteristic, complemented, Sylow
665C23—61no—
666C23—61no—
667C23—91no—
668C23—184no—
669C23—721no—
670C23—721no—
671Q8—61no—
672Q8—61no—
673Q8—61no—
674Q8—61no—
675D4—32no—
676D4—32no—
677D4—61no—
678D4—61no—
679D4—184no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—91no—
687C2×C4—91no—
688C2×C4—91no—
689C2×C4—181no—
690C2×C4—181no—
691C2×C4—241no—
692C2×C4—241no—
693C2×C4—721no—
694C2×C4—721no—
695C2×C4#380211yescharacteristic
696C2×C4#380211yescharacteristic
697C2×C4C22×D3211yescharacteristic
698C8—21no—
699C8—21no—
700C8—181no—
701C8—181no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—122no—
706C2×C3—122no—
707C2×C3#560611yescharacteristic
708C2×C3#562711yescharacteristic
709C2×C3#576211yescharacteristic
710C2×C3#577011yescharacteristic
711C2×C3#577511yescharacteristic
712C2×C3#577811yescharacteristic
713D3—42no—
714D3—42no—
715D3—121no—
716D3—121no—
717D3—241no—
718C22—62no—
719C22—62no—
720C22—121no—
721C22—121no—
722C22—121no—
723C22—121no—
724C22—181no—
725C22—181no—
726C22—181no—
727C22—724no—
728C22C2×#380211yescharacteristic
729C4—21no—
730C4—21no—
731C4—121no—
732C4—121no—
733C4—121no—
734C4—121no—
735C4—121no—
736C4—121no—
737C4—181no—
738C4—181no—
739C4—181no—
740C4D3×#23711yescharacteristic
741C4D3×#23911yescharacteristic
742C3—21no—
743C3#8041311yescharacteristic, complemented
744C3#8114711yescharacteristic, complemented
745C2—122no—
746C2—122no—
747C2—361no—
748C2#1059463211yescharacteristic
749C2#1059468611yescharacteristic
750C2#1059471911yescharacteristic
subgroupG/H
centerC22C2×#3802
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
prime radicalC2×#3802C22
hypercenterC4⋊C8D32
hypocenterC32#3123
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
2. #10593867C2semidirect
3. #10592539C2semidirect
4. C3×#4847C2semidirect
5. C3×#4841C2semidirect
8. #10590779C2semidirect
9. #10590775C2semidirect
10. #10590743C2semidirect
11. #10590742C2semidirect
12. #10590715C2semidirect
13. #10590713C2semidirect
14. #10590363C2semidirect
15. #10590270C2semidirect
24. C3×#870C22semidirect
25. C3×#869C22semidirect
39. #63843C22semidirect
40. #63843C22semidirect
43. C32×C4⋊C8C22semidirect
46. #63642C22semidirect
47. C8×C3⋊Dic3C22semidirect
48. C4⋊(C3⋊(C3⋊C8))C22semidirect
51. C3×#818C22semidirect
52. C3×#817C22semidirect
53. C3×#816C22semidirect
54. C3×#816C22semidirect
55. #63576C22semidirect
56. #63574C22semidirect
57. #63565C22semidirect
58. #63565C22semidirect
79. #4847D3semidirect
80. #4841D3semidirect
191. #870C2×D3semidirect
192. #869C2×D3semidirect
196. C3×C4⋊C8C2×D3semidirect
197. C3×C4⋊C8C2×D3semidirect
214. #818C2×D3semidirect
215. #817C2×D3semidirect
216. #816C2×D3semidirect
217. #816C2×D3semidirect
450. C4⋊C8D32semidirect
664. C32#3123semidirect
743. C3#80413semidirect
744. C3#81147semidirect

Maximal subgroups

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

subgroupindex
#105939962
#105938672
#105925392
C3×#48472
C3×#48412
#105909432
#105907792
#105907752
#105907432
#105907422
#105907152
#105907132
#105903632
#105902702
#811473
#804133