Finite Group Databasebeta

← #11872848

Subgroups — #11872848

Order 1152.

839 conjugacy classes of subgroups.

The subgroup lattice has 751 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593994C211yesmaximal, characteristic
2#10593862C211yesmaximal, characteristic, complemented
3#10592546C211yesmaximal, characteristic, complemented
4C3×#4841C211yesmaximal, characteristic, complemented
5C3×#4840C211yesmaximal, characteristic, complemented
6#10590942C211yesmaximal, characteristic
7#10590942C211yesmaximal, characteristic
8#10590795C211yesmaximal, characteristic, complemented
9#10590792C211yesmaximal, characteristic, complemented
10#10590766C211yesmaximal, characteristic, complemented
11Dic3×#204C211yesmaximal, characteristic, complemented
12#10590711C211yesmaximal, characteristic, complemented
13#10590710C211yesmaximal, characteristic, complemented
14#10590379C211yesmaximal, characteristic, complemented
15#10590271C211yesmaximal, characteristic, complemented
16#80413—31nomaximal
17#79387—31nomaximal
18C2×D3×D12C2211yescharacteristic
19C4×C4⋊(C3⋊D3)C2211yescharacteristic
20#64079C2211yescharacteristic, complemented
21C2×C3×#204C2211yescharacteristic
22C2×C3×#204C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×#872C2211yescharacteristic
25C3×#869C2211yescharacteristic, complemented
26#63921—21no—
27D3×(C2×D3)⋊C4—21no—
28#63904—21no—
29#63894C2211yescharacteristic
30Dic3×D12C2211yescharacteristic
31#63881—21no—
32#63858—21no—
33#63858—21no—
34#63856C2211yescharacteristic
35#63856C2211yescharacteristic
36#63847—21no—
37#63847—21no—
38Dic3×Dic6C2211yescharacteristic, complemented
39Dic3×Dic6C2211yescharacteristic, complemented
40#63841C2211yescharacteristic
41C2×#3717C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43C32×C4⋊C8C2211yescharacteristic, complemented
44#63648C2211yescharacteristic
45#63648C2211yescharacteristic
46#63645C2211yescharacteristic, complemented
47#63644C2211yescharacteristic, complemented
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#816C2211yescharacteristic, complemented
51C3×#816C2211yescharacteristic, complemented
52C3×#815C2211yescharacteristic, complemented
53C3×C8×Dic3C2211yescharacteristic, complemented
54C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
55#63575C2211yescharacteristic, complemented
56#63573C2211yescharacteristic, complemented
57#63566C2211yescharacteristic, complemented
58#63566C2211yescharacteristic, complemented
59#63563C2211yescharacteristic
60#63563C2211yescharacteristic
61#5731—31no—
62#5545—31no—
63#5521—31no—
64#5518—31no—
65C3×#461—31no—
66C3×#433—31no—
67#5169—31no—
68#5169—31no—
69#5164—31no—
70Dic3×SD16—31no—
71#5083—31no—
72#5009—31no—
73#4847—31no—
74#4847—31no—
75#4847—31no—
76#4847—61no—
77#4841—31no—
78#4841D311yescharacteristic, complemented
79#4840D311yescharacteristic, complemented
80#4817—31no—
81#4815—31no—
82#4814—31no—
83#4788—31no—
84#4731—31no—
85#4731—31no—
86#4723—31no—
87#4723—31no—
88#4710—31no—
89#4710—31no—
90C4×#204—31no—
91C4×#204—31no—
92C22×D32—21no—
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#626—21no—
101C2×#624—21no—
102C2×D3×Dic3—21no—
103D3×D12—22no—
104D3×D12—22no—
105C2×C32×C8C2311yescharacteristic
106C2×C32×C8C2311yescharacteristic
107C32×C42C2311yescharacteristic
108#3752—21no—
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113#3750—21no—
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4D411yescharacteristic
116C3×(C2×D3)⋊C4D411yescharacteristic
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4D411yescharacteristic
121C3×Dic3⋊C4D411yescharacteristic
122C3×C4×Dic3C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C3×#204—22no—
126C3×#204—22no—
127#3724—21no—
128#3724—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131#3722—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136Dic32—21no—
137Dic32—21no—
138Dic32—21no—
139#3717—22no—
140#3717—22no—
141#3123—91noSylow
142C2×D3×D4—31no—
143C22×D12—31no—
144C2×C3×SD16—31no—
145C2×C3×SD16—31no—
146C3×C4⋊Q8—31no—
147C3×C4×D4—31no—
148C3×#117—31no—
149#946—31no—
150#946—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153C2×#215—31no—
154C2×#215—31no—
155D4×Dic3—31no—
156C4×#67—61no—
157C2×(C2×D3)⋊C4—61no—
158#926—31no—
159#924—31no—
160#924—31no—
161C2×#204—31no—
162C2×#204—31no—
163C2×#204C2×D311yescharacteristic
164C2×#204C2×D311yescharacteristic
165#898—61no—
166#898—61no—
167#893—31no—
168#893—61no—
169#893—61no—
170#892—31no—
171#889—61no—
172#889—61no—
173#889—61no—
174#889—61no—
175#67⋊C4—61no—
176D3×C22⋊C4—61no—
177D3×C22⋊C4—61no—
178D3×C22⋊C4—61no—
179#879—61no—
180#879—61no—
181C4×D12—31no—
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—31no—
185C4×D12—61no—
186C4×D12C2×D311yescharacteristic
187#872C2×D311yescharacteristic
188#870—31no—
189#870—31no—
190#870—61no—
191#869C2×D311yescharacteristic, complemented
192C4×Dic6—31no—
193C4×Dic6—31no—
194C3×C4⋊C8—21no—
195C3×C4⋊C8—31no—
196C3×C4⋊C8C2×D311yescharacteristic, complemented
197C3×C4⋊C8C2×D311yescharacteristic, complemented
198C3×#103—31no—
199C3×#103—31no—
200C3×C22⋊C8—31no—
201C3×C22⋊C8—31no—
202C3×#97—31no—
203C3×C4×C8—31no—
204#835—31no—
205#835—31no—
206#832—31no—
207#832—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—61no—
215#821—61no—
216(C2×D3)⋊C8C2×D311yescharacteristic
217(C2×D3)⋊C8C2×D311yescharacteristic
218#818—31no—
219#818—31no—
220#818—31no—
221#818—61no—
222#817—31no—
223#817—31no—
224#817—31no—
225#817—61no—
226#816—31no—
227#816—31no—
228#816C2×D311yescharacteristic, complemented
229#816C2×D311yescharacteristic, complemented
230#815C2×D311yescharacteristic, complemented
231C8×Dic3C2×D311yescharacteristic, complemented
232#808—31no—
233#807—31no—
234C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×D32—24no—
239C2×D32—81no—
240C2×D32—81no—
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)#4112yes—
249C4×C3⋊D3—81no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×D12—21no—
257C3×D12#4112yes—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—81no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265#626—24no—
266#624—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—91no—
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—31no—
287C23×D3—61no—
288C23×D3—61no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×D4—31no—
292C22×C3×C4—31no—
293C22×C3×C4—61no—
294C2×#67—61no—
295C22×Dic3—61no—
296D3×D4—62no—
297D3×D4—62no—
298C2×D12—31no—
299C2×D12—31no—
300C2×D12—61no—
301C2×D12—62no—
302C2×D12—61no—
303C2×D12—62no—
304C2×D12C22×D311yescharacteristic
305C2×C4×D3—21no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—121no—
312C2×C4×D3C22×D311yescharacteristic
313C2×Dic6C22×D311yescharacteristic
314C2×Dic6C22×D311yescharacteristic
315C3×SD16—62no—
316C3×SD16—62no—
317C2×C3×C8—21no—
318C2×C3×C8—21no—
319C2×C3×C8—31no—
320C2×C3×C8—31no—
321C2×C3×C8C22×D311yescharacteristic
322C2×C3×C8C22×D311yescharacteristic
323C2×C3×C8C22×D311yescharacteristic
324C2×C3×C8C22×D311yescharacteristic
325C3×C4⋊C4—31no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4—61no—
330C3×C22⋊C4—31no—
331C3×C22⋊C4—31no—
332C3×C22⋊C4—61no—
333C3×C42—21no—
334C3×C42—31no—
335C3×C42C22×D311yescharacteristic
336C3×C42C22×D311yescharacteristic
337#217—61no—
338#217—61no—
339#217—61no—
340#217—61no—
341#215—62no—
342#215—62no—
343(C2×D3)⋊C4—21no—
344(C2×D3)⋊C4—61no—
345(C2×D3)⋊C4—61no—
346(C2×D3)⋊C4—61no—
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—121no—
353(C2×D3)⋊C4D1211yescharacteristic
354(C2×D3)⋊C4D1211yescharacteristic
355C4⋊Dic3—21no—
356C4⋊Dic3—21no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—121no—
380Dic3⋊C4—121no—
381Dic3⋊C4D1211yescharacteristic
382Dic3⋊C4D1211yescharacteristic
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392#204—22no—
393#204—22no—
394#204—62no—
395#204—62no—
396C22×C32C22×D411yescharacteristic
397C2×C3⋊D3—22no—
398C2×C3⋊D3—41no—
399C2×C3⋊D3—41no—
400C2×C3×D3—22no—
401C2×C3×D3—21no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406D32—84no—
407C32×C4—21no—
408C32×C4—21no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
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—91no—
429#125—181no—
430#125—181no—
431C22⋊Q8—91no—
432C22⋊Q8—91no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—181no—
440C4×D4—181no—
441#117—31no—
442#117—91no—
443C2×C22⋊C4—181no—
444C2×C22⋊C4—181no—
445#107—91no—
446#107—91no—
447#106—91no—
448#106—91no—
449C4⋊C8—31no—
450C4⋊C8D3211yescharacteristic, complemented
451#103—31no—
452#103—31no—
453#103—91no—
454#103—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459C22⋊C8—31no—
460C22⋊C8—31no—
461#97—31no—
462C4×C8—31no—
463C23×C3—31no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—64no—
467C22×D3—64no—
468C22×D3—61no—
469C22×D3—61no—
470C22×D3—121no—
471C22×D3—241no—
472C22×D3—241no—
473C22×D3—241no—
474C22×D3—241no—
475C22×D3C2×D1211yescharacteristic
476C3×Q8—61no—
477C3×Q8—61no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×D4—32no—
481C3×D4—61no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
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×C4C2×D1211yescharacteristic
495C2×C3×C4C2×D1211yescharacteristic
496C2×C3×C4D3×D411yescharacteristic
497C2×C3×C4D3×D411yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500#67—64no—
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—121no—
511C2×Dic3—121no—
512C2×Dic3—121no—
513C2×Dic3—241no—
514C2×Dic3C2×D1211yescharacteristic
515C2×Dic3C2×D1211yescharacteristic
516C2×Dic3C2×D1211yescharacteristic
517D12—21no—
518D12—32no—
519D12—32no—
520D12—62no—
521D12—64no—
522D12—61no—
523D12—61no—
524D12—121no—
525D12#23712yes—
526C4×D3—21no—
527C4×D3—21no—
528C4×D3—81no—
529C4×D3—241no—
530C4×D3—241no—
531C4×D3—241no—
532C4×D3—241no—
533C4×D3—241no—
534C4×D3—242no—
535Dic6—21no—
536Dic6—21no—
537Dic6—21no—
538Dic6—21no—
539C3×C8—21no—
540C3×C8—21no—
541C3×C8—21no—
542C3×C8—21no—
543C3×C8—41no—
544C3×C8—41no—
545C3×C8—61no—
546C3×C8—61no—
547C3⋊C8—21no—
548C3⋊C8—21no—
549C2×C32#52511yescharacteristic
550C2×C32#57711yescharacteristic
551C2×C32#57711yescharacteristic
552C3⋊D3—42no—
553C3×D3—41no—
554C3×D3—42no—
555C24—181no—
556C2×Q8—31no—
557C2×Q8—31no—
558C2×D4—31no—
559C2×D4—91no—
560C2×D4—181no—
561C2×D4—182no—
562C2×D4—182no—
563C22×C4—31no—
564C22×C4—61no—
565C22×C4—181no—
566C22×C4—181no—
567C22×C4—181no—
568SD16—62no—
569SD16—62no—
570SD16—182no—
571SD16—182no—
572C2×C8—31no—
573C2×C8—31no—
574C2×C8C2×D3211yescharacteristic
575C2×C8C2×D3211yescharacteristic
576C4⋊C4—31no—
577C4⋊C4—31no—
578C4⋊C4—31no—
579C4⋊C4—61no—
580C4⋊C4—61no—
581C4⋊C4—91no—
582C4⋊C4—91no—
583C4⋊C4—91no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C22⋊C4—31no—
591C22⋊C4—31no—
592C22⋊C4—61no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C42—31no—
600C42—181no—
601C42—181no—
602C42—181no—
603C42C2×D3211yescharacteristic
604C22×C3—21no—
605C22×C3—61no—
606C22×C3—61no—
607C22×C3—62no—
608C22×C3—61no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3C22×D1211yescharacteristic
612C22×C3C2×D3×D411yescharacteristic
613C2×D3—21no—
614C2×D3—21no—
615C2×D3—21no—
616C2×D3—22no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—62no—
620C2×D3—62no—
621C2×D3—122no—
622C2×D3—121no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—241no—
627C2×D3—241no—
628C2×D3—244no—
629C2×D3—244no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4C2×#23711yescharacteristic
645C3×C4D3×#4111yescharacteristic
646C3×C4D3×#4111yescharacteristic
647C3×C4D3×#4111yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—41no—
652Dic3—41no—
653Dic3—41no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—241no—
661Dic3—241no—
662Dic3—241no—
663C32#312311yescharacteristic, complemented, Sylow
664C23—31no—
665C23—61no—
666C23—184no—
667C23—181no—
668C23—721no—
669C23—721no—
670Q8—61no—
671Q8—61no—
672Q8—61no—
673Q8—61no—
674D4—32no—
675D4—61no—
676D4—92no—
677D4—184no—
678D4—181no—
679C2×C4—31no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—181no—
688C2×C4—181no—
689C2×C4—181no—
690C2×C4—241no—
691C2×C4—721no—
692C2×C4—721no—
693C2×C4—721no—
694C2×C4D3×D1211yescharacteristic
695C2×C4D3×D1211yescharacteristic
696C2×C4C22×D3211yescharacteristic
697C8—21no—
698C8—21no—
699C8—61no—
700C8—61no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—122no—
705C2×C3—121no—
706C2×C3#552411yescharacteristic
707C2×C3#560611yescharacteristic
708C2×C3#575111yescharacteristic
709C2×C3#575111yescharacteristic
710C2×C3#576211yescharacteristic
711C2×C3#577811yescharacteristic
712D3—41no—
713D3—42no—
714D3—122no—
715D3—122no—
716D3—242no—
717C22—61no—
718C22—62no—
719C22—61no—
720C22—61no—
721C22—121no—
722C22—121no—
723C22—182no—
724C22—361no—
725C22—361no—
726C22—724no—
727C22C2×D3×D1211yescharacteristic
728C4—21no—
729C4—21no—
730C4—61no—
731C4—61no—
732C4—61no—
733C4—121no—
734C4—121no—
735C4—121no—
736C4—361no—
737C4—361no—
738C4—361no—
739C4D3×#23711yescharacteristic
740C4#6431911yescharacteristic
741C3—21no—
742C3#7938711yescharacteristic, complemented
743C3#8041311yescharacteristic, complemented
744C2—121no—
745C2—122no—
746C2—362no—
747C2#1059462611yescharacteristic
748C2#1059467711yescharacteristic
749C2#1059471511yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
prime radicalC2×D3×D12C22
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. #10593862C2semidirect
3. #10592546C2semidirect
4. C3×#4841C2semidirect
5. C3×#4840C2semidirect
8. #10590795C2semidirect
9. #10590792C2semidirect
10. #10590766C2semidirect
11. Dic3×#204C2semidirect
12. #10590711C2semidirect
13. #10590710C2semidirect
14. #10590379C2semidirect
15. #10590271C2semidirect
20. #64079C22semidirect
25. C3×#869C22semidirect
38. Dic3×Dic6C22semidirect
39. Dic3×Dic6C22semidirect
43. C32×C4⋊C8C22semidirect
46. #63645C22semidirect
47. #63644C22semidirect
50. C3×#816C22semidirect
51. C3×#816C22semidirect
52. C3×#815C22semidirect
53. C3×C8×Dic3C22semidirect
54. C3×C4⋊(C3⋊C8)C22semidirect
55. #63575C22semidirect
56. #63573C22semidirect
57. #63566C22semidirect
58. #63566C22semidirect
78. #4841D3semidirect
79. #4840D3semidirect
191. #869C2×D3semidirect
196. C3×C4⋊C8C2×D3semidirect
197. C3×C4⋊C8C2×D3semidirect
228. #816C2×D3semidirect
229. #816C2×D3semidirect
230. #815C2×D3semidirect
231. C8×Dic3C2×D3semidirect
234. C4⋊(C3⋊C8)C2×D3semidirect
450. C4⋊C8D32semidirect
663. C32#3123semidirect
742. C3#79387semidirect
743. C3#80413semidirect

Maximal subgroups

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

subgroupindex
#105939942
#105938622
#105925462
C3×#48412
C3×#48402
#105909422
#105907952
#105907922
#105907662
Dic3×#2042
#105907112
#105907102
#105903792
#105902712
#804133
#793873