Finite Group Databasebeta

← #11872852

Subgroups — #11872852

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#10595349C211yesmaximal, characteristic, complemented
2#10594604C211yesmaximal, characteristic
3#10592487C211yesmaximal, characteristic, complemented
4C3×#4818C211yesmaximal, characteristic, complemented
5C3×#4815C211yesmaximal, characteristic, complemented
6#10591651C211yesmaximal, characteristic
7#10591572C211yesmaximal, characteristic, complemented
8#10591565C211yesmaximal, characteristic, complemented
9#10590942C211yesmaximal, characteristic
10#10590775C211yesmaximal, characteristic, complemented
11#10590769C211yesmaximal, characteristic, complemented
12#10590698C211yesmaximal, characteristic, complemented
13#10590542C211yesmaximal, characteristic, complemented
14#10590519C211yesmaximal, characteristic, complemented
15#10590484C211yesmaximal, characteristic, complemented
16#81498—31nomaximal
17#80413—31nomaximal
18C2×D3×D12C2211yescharacteristic
19Q8×C3⋊Dic3C2211yescharacteristic, complemented
20C2×#3755C2211yescharacteristic
21#64102C2211yescharacteristic
22C3×#946C2211yescharacteristic
23C3×#944C2211yescharacteristic, complemented
24C2×C3×#215C2211yescharacteristic
25C2×C3×#204C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×#892C2211yescharacteristic
28#63921—21no—
29D3×(C2×D3)⋊C4—21no—
30C4×#626—21no—
31#63898C2211yescharacteristic
32#63894C2211yescharacteristic
33#63880—21no—
34#63870—21no—
35#63869C2211yescharacteristic, complemented
36#63862—21no—
37#63861—21no—
38#63856C2211yescharacteristic
39#63855C2211yescharacteristic
40#63845—21no—
41#63843C2211yescharacteristic, complemented
42C2×#3717C2211yescharacteristic
43C32×#103C2211yescharacteristic, complemented
44#63648C2211yescharacteristic
45C8×C3⋊Dic3C2211yescharacteristic, complemented
46#63635C2211yescharacteristic, complemented
47C3×#835C2211yescharacteristic, complemented
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#817C2211yescharacteristic, complemented
50C3×Dic3⋊C8C2211yescharacteristic, complemented
51C3×#810C2211yescharacteristic, complemented
52C3×#807C2211yescharacteristic, complemented
53#63575C2211yescharacteristic, complemented
54Dic3⋊(C3⋊C8)C2211yescharacteristic, complemented
55#63565C2211yescharacteristic, complemented
56#63564C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63555C2211yescharacteristic, complemented
61#5731—31no—
62#5625—31no—
63#5545—31no—
64#5521—31no—
65C3×#485—31no—
66C3×#461—31no—
67#5169—31no—
68#5169—31no—
69#5164—31no—
70Dic3×SD16—31no—
71#5083—31no—
72#5046—31no—
73#5009—31no—
74#4996—31no—
75#4891—31no—
76#4889—31no—
77#4871—31no—
78#4852—31no—
79#4847—31no—
80#4840—31no—
81#4818—31no—
82#4818D311yescharacteristic, complemented
83#4817—31no—
84#4817—31no—
85#4815D311yescharacteristic, complemented
86#4814—31no—
87#4788—31no—
88#4788—31no—
89#4788—61no—
90#4731—31no—
91#4720—31no—
92C22×D32—21no—
93C2×C32×Q8C2311yescharacteristic
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4×C3⋊D3—21no—
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
106C32×C4⋊C4C2311yescharacteristic
107#3755—22no—
108#3752—21no—
109C4⋊(C3⋊Dic3)—21no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4×C3⋊Dic3—21no—
112C4×C3⋊Dic3C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#215—22no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C3×#204—22no—
128#3724—21no—
129#3724—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134#3722—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
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×C22⋊Q8—31no—
148C3×C4×D4—31no—
149C3×#117—31no—
150#946—31no—
151#946C2×D311yescharacteristic
152Q8×Dic3—31no—
153Q8×Dic3—31no—
154Q8×Dic3—31no—
155Q8×Dic3—61no—
156#944C2×D311yescharacteristic, complemented
157C2×#215—31no—
158C2×#215—31no—
159C2×#215—31no—
160C2×#215—61no—
161C2×#215C2×D311yescharacteristic
162D4×Dic3—31no—
163C4×#67—61no—
164C2×(C2×D3)⋊C4—61no—
165#926—31no—
166#924—31no—
167C2×#204—31no—
168C2×#204C2×D311yescharacteristic
169#898—61no—
170#898—61no—
171#893—31no—
172#893—31no—
173#893—31no—
174#893—31no—
175#893—61no—
176#893C2×D311yescharacteristic
177#892C2×D311yescharacteristic
178#890—31no—
179#890—61no—
180#889—61no—
181#889—61no—
182#889—61no—
183#887—31no—
184#67⋊C4—61no—
185D3×C22⋊C4—61no—
186D3×C22⋊C4—61no—
187D3×C22⋊C4—61no—
188#879—61no—
189#879—61no—
190C4×D12—31no—
191C4×D12—61no—
192C4×D12—61no—
193#872—31no—
194#870—31no—
195C3×#107—31no—
196C3×#106—31no—
197C3×C4⋊C8—31no—
198C3×#103—21no—
199C3×#103—31no—
200C3×#103—31no—
201C3×#103C2×D311yescharacteristic, complemented
202C3×#103C2×D311yescharacteristic, complemented
203C3×C22⋊C8—31no—
204#835—31no—
205#835C2×D311yescharacteristic, complemented
206#832—31no—
207#832—31no—
208#830—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—61no—
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8C2×D311yescharacteristic
216#818—31no—
217#817C2×D311yescharacteristic, complemented
218#815—31no—
219#815—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8C2×D311yescharacteristic, complemented
222C8×Dic3—31no—
223C8×Dic3—31no—
224C8×Dic3—61no—
225#810—31no—
226#810C2×D311yescharacteristic, complemented
227#809—31no—
228#809—31no—
229#808—31no—
230#808—31no—
231#808—61no—
232#807—31no—
233#807C2×D311yescharacteristic, complemented
234C4⋊(C3⋊C8)—31no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×D32—24no—
239C2×D32—81no—
240C2×D32—81no—
241C32×Q8—21no—
242C32×Q8—21no—
243C2×C32×C4—21no—
244C2×C32×C4—21no—
245C2×C32×C4C2411yescharacteristic
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3⋊Dic3C2×D411yescharacteristic
249C4⋊(C3⋊D3)—21no—
250C4⋊(C3⋊D3)#4112yes—
251C4×C3⋊D3—81no—
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—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#541—91no—
273#518—91no—
274#485—31no—
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—91no—
287C23×D3—61no—
288C23×D3—61no—
289C2×C3×Q8—21no—
290C2×C3×Q8—31no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—31no—
294C22×C3×C4—31no—
295C22×C3×C4—61no—
296C2×#67—61no—
297C22×Dic3—61no—
298D3×D4—62no—
299D3×D4—62no—
300C2×D12—31no—
301C2×D12—31no—
302C2×D12—61no—
303C2×D12—62no—
304C2×D12—61no—
305C2×D12—62no—
306C2×D12C22×D311yescharacteristic
307C2×C4×D3—21no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—121no—
314C2×C4×D3C22×D311yescharacteristic
315C2×Dic6C22×D311yescharacteristic
316C3×SD16—62no—
317C3×SD16—62no—
318C2×C3×C8—21no—
319C2×C3×C8—31no—
320C2×C3×C8—31no—
321C2×C3×C8C22×D311yescharacteristic
322C2×C3×C8C22×D311yescharacteristic
323C3×C4⋊C4—21no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—31no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C42—31no—
335C3×C42—61no—
336#217—31no—
337#217—31no—
338#217—61no—
339#217—61no—
340#215—22no—
341#215—62no—
342#215—62no—
343#215—62no—
344#215—64no—
345(C2×D3)⋊C4—21no—
346(C2×D3)⋊C4—21no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—31no—
349(C2×D3)⋊C4—31no—
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—121no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—121no—
367C4⋊Dic3C22×D311yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380C4×Dic3—21no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—121no—
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395#204—22no—
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—41no—
409C32×C4—41no—
410C32×C4C2×#4111yescharacteristic
411C32×C4C2×#4111yescharacteristic
412C3⋊Dic3—21no—
413C3⋊Dic3—21no—
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—31no—
424C2×SD16—91no—
425C2×SD16—91no—
426C4⋊Q8—31no—
427#126—181no—
428#126—181no—
429#125—91no—
430#125—181no—
431#125—181no—
432C22⋊Q8—31no—
433C22⋊Q8—91no—
434C4×Q8—91no—
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—31no—
447#107—91no—
448#106—31no—
449#106—91no—
450C4⋊C8—31no—
451C4⋊C8—91no—
452#103—31no—
453#103—31no—
454#103—91no—
455#103D3211yescharacteristic, complemented
456#102—91no—
457#102—91no—
458#102—91no—
459#102—91no—
460C22⋊C8—31no—
461C22⋊C8—91no—
462#97—91no—
463C4×C8—91no—
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×D3D3×D411yescharacteristic
477C3×Q8—22no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—21no—
481C3×Q8—21no—
482C3×Q8—41no—
483C3×Q8—61no—
484C3×Q8—61no—
485C3×D4—32no—
486C3×D4—61no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—41no—
496C2×C3×C4—41no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—241no—
503C2×C3×C4C23×D311yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505#67—64no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—121no—
518C2×Dic3—241no—
519C2×Dic3D3×D411yescharacteristic
520C2×Dic3D3×D411yescharacteristic
521C2×Dic3D3×D411yescharacteristic
522D12—21no—
523D12—32no—
524D12—32no—
525D12—62no—
526D12—64no—
527D12—61no—
528D12—61no—
529D12—121no—
530D12#23712yes—
531C4×D3—21no—
532C4×D3—21no—
533C4×D3—81no—
534C4×D3—241no—
535C4×D3—241no—
536C4×D3—241no—
537C4×D3—241no—
538C4×D3—242no—
539C4×D3—241no—
540Dic6—21no—
541Dic6—21no—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—41no—
545C3×C8—61no—
546C3×C8—61no—
547C3⋊C8—21no—
548C3⋊C8—21no—
549C3⋊C8—62no—
550C3⋊C8—61no—
551C3⋊C8—61no—
552C2×C32#52511yescharacteristic
553C2×C32#57711yescharacteristic
554C2×C32#57711yescharacteristic
555C3⋊D3—42no—
556C3×D3—41no—
557C3×D3—42no—
558C24—181no—
559C2×Q8—31no—
560C2×Q8C2×D3211yescharacteristic
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—62no—
573SD16—182no—
574SD16—182no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8—91no—
578C2×C8C2×D3211yescharacteristic
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—91no—
585C4⋊C4—91no—
586C4⋊C4—91no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4C2×D3211yescharacteristic
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—61no—
596C22⋊C4—91no—
597C22⋊C4—91no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C42—31no—
603C42—61no—
604C42—91no—
605C42—181no—
606C42—181no—
607C22×C3—21no—
608C22×C3—62no—
609C22×C3—61no—
610C22×C3—61no—
611C22×C3—61no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3C2×D3×D411yescharacteristic
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—21no—
634C3×C4—21no—
635C3×C4—42no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—81no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4C2×#23711yescharacteristic
648C3×C4D3×#4111yescharacteristic
649C3×C4D3×#4111yescharacteristic
650C3×C4D3×#4111yescharacteristic
651Dic3—21no—
652Dic3—21no—
653Dic3—21no—
654Dic3—41no—
655Dic3—41no—
656Dic3—41no—
657Dic3—62no—
658Dic3—61no—
659Dic3—61no—
660Dic3—61no—
661Dic3—61no—
662Dic3—121no—
663Dic3—121no—
664Dic3—121no—
665Dic3—241no—
666C32#312311yescharacteristic, complemented, Sylow
667C23—31no—
668C23—61no—
669C23—184no—
670C23—181no—
671C23—721no—
672C23—721no—
673Q8—21no—
674Q8—21no—
675Q8—61no—
676Q8—61no—
677D4—32no—
678D4—61no—
679D4—92no—
680D4—184no—
681D4—181no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—31no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—91no—
693C2×C4—91no—
694C2×C4—181no—
695C2×C4—241no—
696C2×C4—721no—
697C2×C4—721no—
698C2×C4—721no—
699C2×C4C22×D3211yescharacteristic
700C8—21no—
701C8—61no—
702C8—61no—
703C8—181no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—21no—
707C2×C3—121no—
708C2×C3—122no—
709C2×C3#560611yescharacteristic
710C2×C3#565611yescharacteristic
711C2×C3#576211yescharacteristic
712C2×C3#577011yescharacteristic
713C2×C3#577811yescharacteristic
714C2×C3#577811yescharacteristic
715D3—42no—
716D3—41no—
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—
730C22D32×D411yescharacteristic
731C4—41no—
732C4—41no—
733C4—61no—
734C4—61no—
735C4—61no—
736C4—121no—
737C4—121no—
738C4—121no—
739C4—181no—
740C4—181no—
741C4—361no—
742C4#6430611yescharacteristic
743C4D3×#23711yescharacteristic
744C3—21no—
745C3#8041311yescharacteristic, complemented
746C3#8149811yescharacteristic, complemented
747C2—121no—
748C2—122no—
749C2—362no—
750C2#1059426711yescharacteristic
751C2#1059475311yescharacteristic
752C2#1059476711yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×D3×D12C22
hypercenter#103D32
hypocenterC32#3123
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. #10595349C2semidirect
3. #10592487C2semidirect
4. C3×#4818C2semidirect
5. C3×#4815C2semidirect
7. #10591572C2semidirect
8. #10591565C2semidirect
10. #10590775C2semidirect
11. #10590769C2semidirect
12. #10590698C2semidirect
13. #10590542C2semidirect
14. #10590519C2semidirect
15. #10590484C2semidirect
19. Q8×C3⋊Dic3C22semidirect
23. C3×#944C22semidirect
35. #63869C22semidirect
41. #63843C22semidirect
43. C32×#103C22semidirect
45. C8×C3⋊Dic3C22semidirect
46. #63635C22semidirect
47. C3×#835C22semidirect
49. C3×#817C22semidirect
50. C3×Dic3⋊C8C22semidirect
51. C3×#810C22semidirect
52. C3×#807C22semidirect
53. #63575C22semidirect
54. Dic3⋊(C3⋊C8)C22semidirect
55. #63565C22semidirect
60. #63555C22semidirect
82. #4818D3semidirect
85. #4815D3semidirect
156. #944C2×D3semidirect
201. C3×#103C2×D3semidirect
202. C3×#103C2×D3semidirect
205. #835C2×D3semidirect
217. #817C2×D3semidirect
221. Dic3⋊C8C2×D3semidirect
226. #810C2×D3semidirect
233. #807C2×D3semidirect
455. #103D32semidirect
666. C32#3123semidirect
745. C3#80413semidirect
746. C3#81498semidirect

Maximal subgroups

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

subgroupindex
#105953492
#105946042
#105924872
C3×#48182
C3×#48152
#105916512
#105915722
#105915652
#105909422
#105907752
#105907692
#105906982
#105905422
#105905192
#105904842
#814983
#804133