Finite Group Databasebeta

← #11872841

Subgroups — #11872841

Order 1152.

849 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593994C211yesmaximal, characteristic
2#10593880C211yesmaximal, characteristic, complemented
3C4×#3744C211yesmaximal, characteristic, complemented
4C3×C4×#204C211yesmaximal, characteristic, complemented
5C3×#4690C211yesmaximal, characteristic, complemented
6#10590946C211yesmaximal, characteristic
7#10590942C211yesmaximal, characteristic
8#10590772C211yesmaximal, characteristic, complemented
9#10590769C211yesmaximal, characteristic, complemented
10#10590760C211yesmaximal, characteristic, complemented
11#10590752C211yesmaximal, characteristic, complemented
12#10590711C211yesmaximal, characteristic, complemented
13#10590709C211yesmaximal, characteristic, complemented
14#10590362C211yesmaximal, characteristic, complemented
15#10590360C211yesmaximal, characteristic, complemented
16#79659—31nomaximal
17#79387—31nomaximal
18C2×D3×D12C2211yescharacteristic
19C2×#3744C2211yescharacteristic
20C4×C4⋊(C3⋊D3)C2211yescharacteristic
21C4×#634C2211yescharacteristic, complemented
22C2×C3×#204C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×#872C2211yescharacteristic
25C3×C4×Dic6C2211yescharacteristic, complemented
26#63921—21no—
27D3×(C2×D3)⋊C4—21no—
28#63904—21no—
29#63894C2211yescharacteristic
30Dic3×D12C2211yescharacteristic
31#63881—21no—
32#63870—21no—
33#63869C2211yescharacteristic, complemented
34#63867—21no—
35#63866C2211yescharacteristic, complemented
36#63862—21no—
37#63859—21no—
38#63857C2211yescharacteristic
39#63856C2211yescharacteristic
40#63841C2211yescharacteristic
41C2×#3717C2211yescharacteristic
42C2×#3716C2211yescharacteristic
43C32×C4×C8C2211yescharacteristic, complemented
44#63648C2211yescharacteristic
45#63644C2211yescharacteristic, complemented
46#63643C2211yescharacteristic, complemented
47C3×#821C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#817C2211yescharacteristic, complemented
51C3×#816C2211yescharacteristic, complemented
52C3×Dic3⋊C8C2211yescharacteristic, complemented
53C3×Dic3⋊C8C2211yescharacteristic, complemented
54C3×#803C2211yescharacteristic, complemented
55#63575C2211yescharacteristic, complemented
56#63575C2211yescharacteristic, complemented
57#63567C2211yescharacteristic, complemented
58#63566C2211yescharacteristic, complemented
59#63564C2211yescharacteristic
60#63563C2211yescharacteristic
61#5583—31no—
62#5545—31no—
63#5521—31no—
64#5518—31no—
65C3×C4×SD16—31no—
66C3×#433—31no—
67#5169—31no—
68#5162—31no—
69#5026—31no—
70#5018—31no—
71#4871—31no—
72#4868—31no—
73#4847—31no—
74#4847—31no—
75#4841—31no—
76#4841—31no—
77#4818—31no—
78#4815—31no—
79#4776—31no—
80#4763—31no—
81#4731—31no—
82#4731—31no—
83#4723—31no—
84#4723—31no—
85#4710—31no—
86#4710—31no—
87C4×#204—31no—
88C4×#204—31no—
89C4×#204—61no—
90C4×#204D311yescharacteristic, complemented
91#4690D311yescharacteristic, complemented
92C22×D32—21no—
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×#634C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3C2311yescharacteristic
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
111#3750—21no—
112C4×C3⋊Dic3—21no—
113#3744—22no—
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4D411yescharacteristic
116C3×(C2×D3)⋊C4D411yescharacteristic
117C3×C4⋊Dic3C2311yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4D411yescharacteristic
121C3×Dic3⋊C4D411yescharacteristic
122C3×C4×Dic3—21no—
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×#204—22no—
127#3724—21no—
128#3724—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3717—22no—
140#3716—22no—
141#3123—91noSylow
142C2×D3×D4—31no—
143C22×D12—31no—
144C2×C3×SD16—31no—
145C3×C4×Q8—31no—
146C3×C4×D4—31no—
147C3×#117—31no—
148#946—31no—
149#944—31no—
150C2×#215—31no—
151D4×Dic3—31no—
152C2×#214—31no—
153C4×#67—61no—
154C2×(C2×D3)⋊C4—61no—
155#926—31no—
156#924—31no—
157#924—31no—
158C2×#204—31no—
159C2×#204—31no—
160C2×#204—31no—
161C2×#204—31no—
162C2×#204—61no—
163C2×#204C2×D311yescharacteristic
164#898—61no—
165#897—31no—
166#893—31no—
167#893—61no—
168#893—61no—
169#892—31no—
170#890—31no—
171#889—61no—
172#889—61no—
173#889—61no—
174#67⋊C4—61no—
175D3×C22⋊C4—61no—
176D3×C22⋊C4—61no—
177D3×C22⋊C4—61no—
178#879—61no—
179#879—61no—
180#876—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—61no—
190#869—31no—
191C4×Dic6—31no—
192C4×Dic6—31no—
193C4×Dic6—61no—
194C4×Dic6C2×D311yescharacteristic, complemented
195C3×#106—31no—
196C3×C4⋊C8—31no—
197C3×C4⋊C8—31no—
198C3×#103—31no—
199C3×#102—31no—
200C3×C22⋊C8—31no—
201C3×C22⋊C8—31no—
202C3×#97—31no—
203C3×C4×C8—21no—
204C3×C4×C8C2×D311yescharacteristic, complemented
205C3×C4×C8C2×D311yescharacteristic, complemented
206#835—31no—
207#832—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—61no—
213#821C2×D311yescharacteristic
214(C2×D3)⋊C8C2×D311yescharacteristic
215(C2×D3)⋊C8C2×D311yescharacteristic
216#818—31no—
217#818—31no—
218#817—31no—
219#817—31no—
220#817—61no—
221#817C2×D311yescharacteristic, complemented
222#816—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—61no—
227#816C2×D311yescharacteristic, complemented
228Dic3⋊C8C2×D311yescharacteristic, complemented
229Dic3⋊C8C2×D311yescharacteristic, complemented
230#810—31no—
231#809—31no—
232#807—31no—
233#807—31no—
234#803C2×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—
250#634—21no—
251#634—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C3×D12—21no—
259C3×D12#4112yes—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×C4×D3—81no—
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—91no—
279#461—91no—
280#450—91no—
281#450—91no—
282#440—91no—
283#440—91no—
284C4×SD16—31no—
285C4×SD16—91no—
286#433—31no—
287C23×D3—61no—
288C23×D3—61no—
289C2×C3×Q8—31no—
290C2×C3×D4—31no—
291C22×C3×C4—31no—
292C22×C3×C4—61no—
293C2×#67—61no—
294C22×Dic3—61no—
295D3×D4—62no—
296D3×D4—62no—
297C2×D12—31no—
298C2×D12—31no—
299C2×D12—61no—
300C2×D12—62no—
301C2×D12—61no—
302C2×D12—62no—
303C2×D12C22×D311yescharacteristic
304C2×C4×D3—21no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—121no—
311C2×C4×D3C22×D311yescharacteristic
312C2×Dic6—31no—
313C2×Dic6—31no—
314C2×Dic6—61no—
315C2×Dic6C22×D311yescharacteristic
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—31no—
329C3×C4⋊C4—61no—
330C3×C22⋊C4—31no—
331C3×C22⋊C4—31no—
332C3×C22⋊C4—61no—
333C3×C42—21no—
334C3×C42—31no—
335C3×C42—61no—
336C3×C42C22×D311yescharacteristic
337C3×C42C22×D311yescharacteristic
338#217—61no—
339#217—61no—
340#217—61no—
341#217—61no—
342#215—62no—
343#214—62no—
344(C2×D3)⋊C4—21no—
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—61no—
353(C2×D3)⋊C4—121no—
354(C2×D3)⋊C4D1211yescharacteristic
355(C2×D3)⋊C4D1211yescharacteristic
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3C22×D311yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368Dic3⋊C4—21no—
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⋊C4D1211yescharacteristic
381Dic3⋊C4D1211yescharacteristic
382C4×Dic3—21no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—121no—
388C4×Dic3C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391#204—22no—
392#204—62no—
393#204—62no—
394#204—64no—
395#204—62no—
396#204—62no—
397C22×C32C22×D411yescharacteristic
398C2×C3⋊D3—22no—
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3×D3—22no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—21no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407D32—84no—
408C32×C4—21no—
409C32×C4—21no—
410C32×C4C2×#4111yescharacteristic
411C32×C4C2×#4111yescharacteristic
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3⋊Dic3—41no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C3×Dic3—41no—
421C22×D4—91no—
422C2×SD16—31no—
423C2×SD16—91no—
424C2×SD16—91no—
425C2×SD16—91no—
426C4⋊Q8—91no—
427#126—181no—
428#126—181no—
429#125—91no—
430#125—181no—
431#125—181no—
432C22⋊Q8—91no—
433C22⋊Q8—91no—
434C4×Q8—31no—
435C4×Q8—91no—
436C4×D4—31no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—181no—
441C4×D4—181no—
442#117—31no—
443#117—91no—
444C2×C22⋊C4—181no—
445C2×C22⋊C4—181no—
446#107—91no—
447#107—91no—
448#106—31no—
449#106—91no—
450C4⋊C8—31no—
451C4⋊C8—31no—
452#103—31no—
453#103—91no—
454#103—91no—
455#103—91no—
456#102—31no—
457#102—91no—
458#102—91no—
459#102—91no—
460C22⋊C8—31no—
461C22⋊C8—31no—
462#97—31no—
463C4×C8D3211yescharacteristic, complemented
464C23×C3—31no—
465C23×C3—61no—
466C22×D3—21no—
467C22×D3—64no—
468C22×D3—64no—
469C22×D3—61no—
470C22×D3—61no—
471C22×D3—121no—
472C22×D3—241no—
473C22×D3—241no—
474C22×D3—241no—
475C22×D3—241no—
476C22×D3C2×D1211yescharacteristic
477C3×Q8—61no—
478C3×Q8—61no—
479C3×D4—32no—
480C3×D4—61no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—241no—
493C2×C3×C4C2×D1211yescharacteristic
494C2×C3×C4C2×D1211yescharacteristic
495C2×C3×C4D3×D411yescharacteristic
496C2×C3×C4D3×D411yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—64no—
500C2×Dic3—21no—
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—121no—
510C2×Dic3—121no—
511C2×Dic3—121no—
512C2×Dic3—241no—
513C2×Dic3C2×D1211yescharacteristic
514C2×Dic3C2×D1211yescharacteristic
515C2×Dic3C2×D1211yescharacteristic
516D12—21no—
517D12—32no—
518D12—32no—
519D12—62no—
520D12—64no—
521D12—61no—
522D12—61no—
523D12—121no—
524D12#23512yes—
525C4×D3—21no—
526C4×D3—21no—
527C4×D3—81no—
528C4×D3—241no—
529C4×D3—241no—
530C4×D3—241no—
531C4×D3—241no—
532C4×D3—241no—
533C4×D3—242no—
534Dic6—21no—
535Dic6—21no—
536Dic6—62no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—61no—
541Dic6—121no—
542C3×C8—22no—
543C3×C8—21no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—21no—
547C3×C8—41no—
548C3×C8—61no—
549C3×C8—61no—
550C3⋊C8—21no—
551C3⋊C8—21no—
552C2×C32#52511yescharacteristic
553C2×C32#57711yescharacteristic
554C2×C32#57711yescharacteristic
555C3⋊D3—42no—
556C3×D3—41no—
557C3×D3—42no—
558C24—181no—
559C2×Q8—31no—
560C2×Q8—91no—
561C2×D4—31no—
562C2×D4—91no—
563C2×D4—181no—
564C2×D4—182no—
565C2×D4—182no—
566C22×C4—31no—
567C22×C4—61no—
568C22×C4—181no—
569C22×C4—181no—
570C22×C4—181no—
571SD16—62no—
572SD16—182no—
573SD16—182no—
574SD16—182no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8C2×D3211yescharacteristic
578C2×C8C2×D3211yescharacteristic
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—61no—
584C4⋊C4—91no—
585C4⋊C4—91no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C22⋊C4—31no—
594C22⋊C4—31no—
595C22⋊C4—61no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C42—31no—
603C42—61no—
604C42—181no—
605C42—181no—
606C42C2×D3211yescharacteristic
607C22×C3—21no—
608C22×C3—61no—
609C22×C3—61no—
610C22×C3—62no—
611C22×C3—61no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3C22×D1211yescharacteristic
615C22×C3C2×D3×D411yescharacteristic
616C2×D3—21no—
617C2×D3—21no—
618C2×D3—21no—
619C2×D3—22no—
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—62no—
623C2×D3—62no—
624C2×D3—122no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—241no—
630C2×D3—241no—
631C2×D3—244no—
632C2×D3—244no—
633C3×C4—22no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—41no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4C2×#23511yescharacteristic
648C3×C4D3×#4111yescharacteristic
649C3×C4D3×#4111yescharacteristic
650C3×C4D3×#4111yescharacteristic
651Dic3—21no—
652Dic3—21no—
653Dic3—21no—
654Dic3—41no—
655Dic3—41no—
656Dic3—41no—
657Dic3—122no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—241no—
665Dic3—241no—
666C32#312311yescharacteristic, complemented, Sylow
667C23—31no—
668C23—61no—
669C23—184no—
670C23—181no—
671C23—721no—
672C23—721no—
673Q8—61no—
674Q8—61no—
675Q8—181no—
676Q8—181no—
677D4—32no—
678D4—61no—
679D4—92no—
680D4—184no—
681D4—181no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4—181no—
693C2×C4—241no—
694C2×C4—721no—
695C2×C4—721no—
696C2×C4—721no—
697C2×C4D3×D1211yescharacteristic
698C2×C4D3×D1211yescharacteristic
699C2×C4C22×D3211yescharacteristic
700C8—21no—
701C8—21no—
702C8—61no—
703C8—61no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—21no—
707C2×C3—122no—
708C2×C3—121no—
709C2×C3#552411yescharacteristic
710C2×C3#554711yescharacteristic
711C2×C3#575111yescharacteristic
712C2×C3#575111yescharacteristic
713C2×C3#576211yescharacteristic
714C2×C3#577011yescharacteristic
715D3—41no—
716D3—42no—
717D3—122no—
718D3—122no—
719D3—242no—
720C22—61no—
721C22—61no—
722C22—61no—
723C22—62no—
724C22—121no—
725C22—121no—
726C22—182no—
727C22—361no—
728C22—361no—
729C22—724no—
730C22C2×D3×D1211yescharacteristic
731C4—21no—
732C4—21no—
733C4—61no—
734C4—61no—
735C4—61no—
736C4—121no—
737C4—121no—
738C4—121no—
739C4—361no—
740C4—361no—
741C4—361no—
742C4D3×#23511yescharacteristic
743C4#6430611yescharacteristic
744C3—21no—
745C3#7938711yescharacteristic, complemented
746C3#7965911yescharacteristic, complemented
747C2—121no—
748C2—122no—
749C2—362no—
750C2#1059399711yescharacteristic
751C2#1059467711yescharacteristic
752C2#1059467911yescharacteristic
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. #10593880C2semidirect
3. C4×#3744C2semidirect
4. C3×C4×#204C2semidirect
5. C3×#4690C2semidirect
8. #10590772C2semidirect
9. #10590769C2semidirect
10. #10590760C2semidirect
11. #10590752C2semidirect
12. #10590711C2semidirect
13. #10590709C2semidirect
14. #10590362C2semidirect
15. #10590360C2semidirect
21. C4×#634C22semidirect
25. C3×C4×Dic6C22semidirect
33. #63869C22semidirect
35. #63866C22semidirect
43. C32×C4×C8C22semidirect
45. #63644C22semidirect
46. #63643C22semidirect
50. C3×#817C22semidirect
51. C3×#816C22semidirect
52. C3×Dic3⋊C8C22semidirect
53. C3×Dic3⋊C8C22semidirect
54. C3×#803C22semidirect
55. #63575C22semidirect
56. #63575C22semidirect
57. #63567C22semidirect
58. #63566C22semidirect
90. C4×#204D3semidirect
91. #4690D3semidirect
194. C4×Dic6C2×D3semidirect
204. C3×C4×C8C2×D3semidirect
205. C3×C4×C8C2×D3semidirect
221. #817C2×D3semidirect
227. #816C2×D3semidirect
228. Dic3⋊C8C2×D3semidirect
229. Dic3⋊C8C2×D3semidirect
234. #803C2×D3semidirect
463. C4×C8D32semidirect
666. C32#3123semidirect
745. C3#79387semidirect
746. C3#79659semidirect

Maximal subgroups

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

subgroupindex
#105939942
#105938802
C4×#37442
C3×C4×#2042
C3×#46902
#105909462
#105909422
#105907722
#105907692
#105907602
#105907522
#105907112
#105907092
#105903622
#105903602
#796593
#793873