Finite Group Databasebeta

← #11860596

Subgroups — #11860596

Order 1152.

994 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595347C211yesmaximal, characteristic, complemented
2C2×#63946C211yesmaximal, characteristic
3#10594359C211yesmaximal, characteristic
4#10592488C211yesmaximal, characteristic, complemented
5C3×#4817C211yesmaximal, characteristic, complemented
6C3×D3×#103C211yesmaximal, characteristic, complemented
7#10591571C211yesmaximal, characteristic, complemented
8#10591537C211yesmaximal, characteristic, complemented
9#10590954C211yesmaximal, characteristic
10#10590794C211yesmaximal, characteristic, complemented
11#10590743C211yesmaximal, characteristic, complemented
12#10590693C211yesmaximal, characteristic, complemented
13#10590580C211yesmaximal, characteristic, complemented
14#10590482C211yesmaximal, characteristic, complemented
15#10590475C211yesmaximal, characteristic, complemented
16#79776—31nomaximal
17#78774—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×#3795C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21C2×#3756C2211yescharacteristic
22#64096C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C2×C3×#215C2211yescharacteristic
25C2×C3×D3×C8C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×D3×C4⋊C4C2211yescharacteristic
28#63946C418yescomplemented
29C4×#625—21no—
30#63898C2211yescharacteristic
31#63879—21no—
32#63878—21no—
33D3×Dic3⋊C4—21no—
34#63855—21no—
35#63855C2211yescharacteristic
36#63844C2211yescharacteristic
37#63843—21no—
38#63843C2211yescharacteristic
39Dic3×Dic6—21no—
40Dic3×Dic6C2211yescharacteristic
41#63841—21no—
42#63841C2211yescharacteristic
43C2×#3719C2211yescharacteristic
44C2×#3715C2211yescharacteristic
45C2×#3711C2211yescharacteristic
46C32×#103C2211yescharacteristic
47#63643C2211yescharacteristic
48#63642C2211yescharacteristic
49#63635C2211yescharacteristic
50C3×#835C2211yescharacteristic
51C3×#821C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×#815C2211yescharacteristic
54C3×#810C2211yescharacteristic
55C3×#807C2211yescharacteristic
56#63576C2211yescharacteristic
57#63573C2211yescharacteristic
58#63567C2211yescharacteristic
59#63563C2211yescharacteristic
60#63553C2211yescharacteristic
61Dic3×C3⋊C8C2211yescharacteristic
62#5812—31no—
63C2×#942—31no—
64C2×#915—31no—
65#5572—31no—
66#5546—31no—
67#5504—31no—
68C3×#440—31no—
69C2×C3×#103—31no—
70Dic3×SD16—31no—
71#5113—31no—
72#5101—31no—
73C4×#216—31no—
74C4×#214—31no—
75#4964—31no—
76#4881—31no—
77#4873—31no—
78#4817—31no—
79#4817D311yescharacteristic, complemented
80D3×#103D311yescharacteristic, complemented
81#4790—31no—
82#4790—31no—
83#4789—31no—
84#4789—31no—
85#4789—31no—
86#4789—61no—
87#4788—31no—
88#4788—31no—
89#4772—31no—
90#4757—31no—
91#4716—31no—
92#4708—31no—
93C2×C32×Q8C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C3×D3×Q8—22no—
96C3×D3×Q8C2×C414yescomplemented
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6—21no—
103C2×C3×Dic6C2311yescharacteristic
104C2×#625—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107#3795—22no—
108#3795C2×C414yes—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3756C2×C414yescomplemented
112C4⋊(C3⋊Dic3)—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3—21no—
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C3×#215C2×C414yescomplemented
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×D3×C8—22no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3D411yescharacteristic
134Dic3⋊Dic3D411yescharacteristic
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140Dic32—21no—
141Dic32—21no—
142Dic32—21no—
143#3719C2×C414yescomplemented
144#3715C2×C414yescomplemented
145#3711C2×C414yescomplemented
146#2947—91noSylow
147C22×C3×Q8—31no—
148C2×D3×Q8C2×D311yescharacteristic
149C2×#237—31no—
150C2×#235—31no—
151C2×C3×SD16—31no—
152C22×C3×C8—31no—
153C3×C4×Q8—31no—
154C3×C4×D4—31no—
155C2×C3×C4⋊C4—31no—
156Q8×Dic3—31no—
157Q8×Dic3—31no—
158Q8×Dic3—31no—
159Q8×Dic3—31no—
160Q8×Dic3—61no—
161Q8×Dic3—61no—
162Q8×Dic3—61no—
163Q8×Dic3C2×D311yescharacteristic
164C2×#216—31no—
165C2×#216—31no—
166C2×#216—31no—
167C2×#216—61no—
168#942—38no—
169C2×#215—31no—
170C2×#215C2×D311yescharacteristic
171D4×Dic3—31no—
172C2×#214—31no—
173C4×#67—61no—
174C4×#67—61no—
175C4×#67—61no—
176#926—31no—
177#926—31no—
178#926—61no—
179#926—61no—
180C2×Dic3⋊C4—61no—
181C2×#208—31no—
182#915—38no—
183C2×Dic12—31no—
184C2×ΓL(1,𝔽25)—31no—
185C2×D3×C8C2×D311yescharacteristic
186#893—31no—
187#893C2×D311yescharacteristic
188#892—31no—
189#892—61no—
190#892—61no—
191D3×C4⋊C4—61no—
192D3×C4⋊C4C2×D311yescharacteristic
193#887—31no—
194#887—31no—
195#887—31no—
196#887—31no—
197#887—61no—
198#887—61no—
199#67⋊C4—61no—
200#877—61no—
201#872—31no—
202#872—61no—
203C4×Dic6—31no—
204C4×Dic6—31no—
205C4×Dic6—61no—
206C3×#107—31no—
207C3×#103—21no—
208C3×#103—31no—
209C3×#103—31no—
210C3×#103—31no—
211C3×#103C2×D311yescharacteristic
212C3×#103C2×D311yescharacteristic
213C3×#102—31no—
214C3×#97—31no—
215#835C2×D311yescharacteristic
216#832—31no—
217#821—31no—
218#821C2×D311yescharacteristic
219#817—31no—
220#816—31no—
221#816—31no—
222#816—31no—
223#816—61no—
224#816C2×D311yescharacteristic
225#815—31no—
226#815—31no—
227#815—61no—
228#815C2×D311yescharacteristic
229C8×Dic3—31no—
230C8×Dic3—31no—
231C8×Dic3—31no—
232#810—31no—
233#810C2×D311yescharacteristic
234#808—31no—
235#808—31no—
236#808—31no—
237#808—61no—
238#807—31no—
239#807—31no—
240#807C2×D311yescharacteristic
241C4×C3⋊C8—31no—
242C22×C3×D3—21no—
243C22×C3×D3C2×D411yescharacteristic
244C32×Q8—21no—
245C32×Q8C22×C412yes—
246C2×C32×C4—21no—
247C2×C32×C4—21no—
248C2×C32×C4C2411yescharacteristic
249C2×C3⋊Dic3—21no—
250C2×C3⋊Dic3—21no—
251C2×C3⋊Dic3C2×D411yescharacteristic
252C2×C3⋊Dic3C2×D411yescharacteristic
253#634—21no—
254#634C22×C412yes—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C3×D12—21no—
262C3×D12C22×C412yes—
263C3×C4×D3—24no—
264C3×C4×D3—81no—
265C3×C4×D3—81no—
266C3×C4×D3C22×C412yes—
267C3×C4×D3#4112yes—
268C3×Dic6—21no—
269C3×Dic6—24no—
270C3×Dic6C22×C412yes—
271#625—24no—
272D3×Dic3—24no—
273D3×Dic3—81no—
274C32×C8—21no—
275C3⋊(C3⋊C8)C22×C412yes—
276C3×C3⋊C8—21no—
277C3×C3⋊C8C22×C412yes—
278C2×#137—91no—
279#520—91no—
280#519—91no—
281#441—91no—
282#441—91no—
283#440—31no—
284#440—91no—
285C4×Q16—91no—
286C4×Q16—91no—
287C4×SD16—91no—
288C4×SD16—91no—
289#428—91no—
290#416—91no—
291C2×#103—31no—
292#405—91no—
293C2×C3×Q8—21no—
294C2×C3×Q8—34no—
295C2×C3×Q8—31no—
296C2×C3×Q8—61no—
297C2×C3×Q8—62no—
298C2×C3×Q8C22×D311yescharacteristic
299C2×C3×Q8C22×D311yescharacteristic
300C2×C3×D4—31no—
301C22×C3×C4—31no—
302C22×C3×C4—61no—
303C22×C3×C4—61no—
304C22×C3×C4—61no—
305C2×#67—61no—
306C2×#67—61no—
307C22×Dic3—61no—
308C22×Dic3—61no—
309D3×Q8—22no—
310D3×Q8C4×D314yescomplemented
311#237—34no—
312#237—62no—
313#235—34no—
314#235—62no—
315C2×D12C22×D311yescharacteristic
316C2×C4×D3—21no—
317C2×C4×D3—21no—
318C2×C4×D3—21no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3C22×D311yescharacteristic
322C2×Dic6—21no—
323C2×Dic6—31no—
324C2×Dic6—31no—
325C2×Dic6—61no—
326C2×Dic6C22×D311yescharacteristic
327C3×SD16—34no—
328C2×C3×C8—21no—
329C2×C3×C8—31no—
330C2×C3×C8—31no—
331C2×C3×C8—62no—
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C3×C4⋊C4—21no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C22⋊C4—61no—
342C3×C42—31no—
343C3×C42—61no—
344#217—31no—
345#217—31no—
346#217—61no—
347#217—61no—
348#216—34no—
349#216—34no—
350#216—34no—
351#216—64no—
352#215—34no—
353#215C4×D314yescomplemented
354#214—34no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—31no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360C4⋊Dic3—21no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—121no—
371C4⋊Dic3C22×D311yescharacteristic
372C4⋊Dic3C22×D311yescharacteristic
373Dic3⋊C4—21no—
374Dic3⋊C4—31no—
375Dic3⋊C4—31no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—121no—
383C4×Dic3—21no—
384C4×Dic3—31no—
385C4×Dic3—31no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3—61no—
399C4×Dic3—121no—
400C4×Dic3—121no—
401C4×Dic3C22×D311yescharacteristic
402#208—34no—
403C2×C3⋊C8—31no—
404C2×C3⋊C8—31no—
405C2×C3⋊C8—61no—
406C2×C3⋊C8C22×D311yescharacteristic
407C2×C3⋊C8C22×D311yescharacteristic
408Dic12—34no—
409ΓL(1,𝔽25)—34no—
410D3×C8—22no—
411C22×C32C22×D411yescharacteristic
412C2×C3×D3—21no—
413C2×C3×D3—21no—
414C2×C3×D3—22no—
415C2×C3×D3—41no—
416C2×C3×D3—41no—
417C2×C3×D3C4×D412yes—
418C32×C4—22no—
419C32×C4—41no—
420C32×C4C23×C411yescharacteristic
421C32×C4C2×#4111yescharacteristic
422C3⋊Dic3—22no—
423C3⋊Dic3—21no—
424C3⋊Dic3—21no—
425C3⋊Dic3—41no—
426C3×Dic3—22no—
427C3×Dic3—21no—
428C3×Dic3—21no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C3×Dic3C4×D412yes—
432C2×#41—91no—
433C22×Q8—31no—
434#137—98no—
435C2×Q16—91no—
436C2×Q16—91no—
437C2×SD16—31no—
438C2×SD16—91no—
439C2×M16—91no—
440C22×C8—31no—
441C4×Q8—31no—
442C4×Q8—91no—
443C4×Q8—91no—
444C4×Q8—91no—
445C4×Q8—91no—
446C4×Q8—91no—
447C4×Q8—181no—
448C4×Q8—181no—
449C4×D4—31no—
450C4×D4—91no—
451C4×D4—181no—
452C4×D4—181no—
453#117—91no—
454#117—91no—
455#117—181no—
456#117—181no—
457#117—181no—
458C2×C4⋊C4—31no—
459C2×C4⋊C4—181no—
460#107—31no—
461#107—91no—
462#106—91no—
463#106—91no—
464#103—31no—
465#103—31no—
466#103—31no—
467#103—91no—
468#103—91no—
469#103D3211yescharacteristic
470#102—31no—
471#102—91no—
472#97—31no—
473#97—91no—
474C4×C8—91no—
475C4×C8—91no—
476C23×C3—31no—
477C23×C3—61no—
478C22×D3—21no—
479C22×D3D3×D411yescharacteristic
480C3×Q8—21no—
481C3×Q8—21no—
482C3×Q8—22no—
483C3×Q8—32no—
484C3×Q8—41no—
485C3×Q8—64no—
486C3×Q8—61no—
487C3×Q8C2×C4×D312yes—
488C3×Q8C2×C4×D312yes—
489C3×D4—32no—
490C3×D4—61no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—31no—
497C2×C3×C4—32no—
498C2×C3×C4—32no—
499C2×C3×C4—31no—
500C2×C3×C4—31no—
501C2×C3×C4—41no—
502C2×C3×C4—41no—
503C2×C3×C4—64no—
504C2×C3×C4—61no—
505C2×C3×C4—61no—
506C2×C3×C4—61no—
507C2×C3×C4—241no—
508C2×C3×C4—241no—
509C2×C3×C4C23×D311yescharacteristic
510C2×C3×C4C23×D311yescharacteristic
511#67—64no—
512#67—64no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—31no—
517C2×Dic3—31no—
518C2×Dic3—31no—
519C2×Dic3—31no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—61no—
524C2×Dic3—64no—
525C2×Dic3—61no—
526C2×Dic3—61no—
527C2×Dic3—121no—
528C2×Dic3—121no—
529C2×Dic3—241no—
530C2×Dic3D3×D411yescharacteristic
531C2×Dic3D3×D411yescharacteristic
532C2×Dic3D3×D411yescharacteristic
533D12—21no—
534D12C2×C4×D312yes—
535C4×D3—24no—
536C4×D3—64no—
537C4×D3—81no—
538C4×D3—81no—
539C4×D3—241no—
540C4×D3C2×C4×D312yes—
541C4×D3#23712yes—
542Dic6—21no—
543Dic6—24no—
544Dic6—32no—
545Dic6—32no—
546Dic6—62no—
547Dic6—61no—
548Dic6—61no—
549Dic6—121no—
550Dic6C2×C4×D312yes—
551C3×C8—21no—
552C3×C8—21no—
553C3×C8—32no—
554C3×C8—41no—
555C3×C8—61no—
556C3⋊C8—21no—
557C3⋊C8—32no—
558C3⋊C8—32no—
559C3⋊C8—62no—
560C3⋊C8C2×C4×D312yes—
561C2×C32C2×C4×D411yescharacteristic
562C2×C32#57711yescharacteristic
563C2×C32#57811yescharacteristic
564C3×D3—22no—
565C3×D3—42no—
566#41—94no—
567#41—182no—
568C2×Q8—34no—
569C2×Q8—31no—
570C2×Q8—61no—
571C2×Q8—62no—
572C2×Q8—91no—
573C2×Q8C2×D3211yescharacteristic
574C2×D4—31no—
575C2×D4—181no—
576C22×C4—31no—
577C22×C4—61no—
578C22×C4—61no—
579C22×C4—61no—
580C22×C4—181no—
581C22×C4—181no—
582Q16—94no—
583Q16—94no—
584SD16—34no—
585SD16—94no—
586M16—94no—
587C2×C8—31no—
588C2×C8—31no—
589C2×C8—62no—
590C2×C8—91no—
591C2×C8C2×D3211yescharacteristic
592C4⋊C4—31no—
593C4⋊C4—31no—
594C4⋊C4—61no—
595C4⋊C4—61no—
596C4⋊C4—91no—
597C4⋊C4—91no—
598C4⋊C4—91no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4C2×D3211yescharacteristic
605C22⋊C4—61no—
606C22⋊C4—91no—
607C22⋊C4—91no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C42—31no—
611C42—61no—
612C42—91no—
613C42—181no—
614C42—181no—
615C42—181no—
616C42—181no—
617C42—181no—
618C42—181no—
619C22×C3—21no—
620C22×C3—32no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—62no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3C2×D3×D411yescharacteristic
627C22×C3C2×D3×D411yescharacteristic
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—22no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3#67⋊C412yes—
634C3×C4—22no—
635C3×C4—22no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—32no—
639C3×C4—42no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—62no—
645C3×C4—81no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4C22×C4×D311yescharacteristic
649C3×C4C22×C4×D311yescharacteristic
650C3×C4C2×#23711yescharacteristic
651C3×C4D3×#4111yescharacteristic
652Dic3—22no—
653Dic3—21no—
654Dic3—21no—
655Dic3—41no—
656Dic3—41no—
657Dic3—62no—
658Dic3—61no—
659Dic3—61no—
660Dic3—61no—
661Dic3—61no—
662Dic3—62no—
663Dic3—122no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—121no—
668Dic3—241no—
669Dic3#67⋊C412yes—
670C32#294711yescharacteristic, complemented, Sylow
671C23—31no—
672C23—61no—
673Q8—21no—
674Q8—32no—
675Q8—64no—
676Q8—61no—
677Q8—92no—
678Q8—181no—
679Q8C4×D3212yes—
680D4—32no—
681D4—61no—
682D4—184no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—31no—
686C2×C4—32no—
687C2×C4—32no—
688C2×C4—31no—
689C2×C4—31no—
690C2×C4—64no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—91no—
695C2×C4—91no—
696C2×C4—184no—
697C2×C4—181no—
698C2×C4—181no—
699C2×C4—241no—
700C2×C4—241no—
701C2×C4—721no—
702C2×C4C22×D3211yescharacteristic
703C8—21no—
704C8—32no—
705C8—61no—
706C8—92no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—62no—
711C2×C3—122no—
712C2×C3C2×#67⋊C411yescharacteristic
713C2×C3C4×D3×D411yescharacteristic
714C2×C3#576211yescharacteristic
715C2×C3#576611yescharacteristic
716C2×C3#577511yescharacteristic
717C2×C3#577911yescharacteristic
718D3—22no—
719D3—42no—
720C22—32no—
721C22—61no—
722C22—61no—
723C22—62no—
724C22—121no—
725C22—121no—
726C22D32×D411yescharacteristic
727C4—22no—
728C4—32no—
729C4—41no—
730C4—61no—
731C4—62no—
732C4—61no—
733C4—121no—
734C4—121no—
735C4—181no—
736C4—182no—
737C4—181no—
738C4—361no—
739C4C2×C4×D3211yescharacteristic
740C4D3×#23711yescharacteristic
741C3—21no—
742C3#7877411yescharacteristic, complemented
743C3#7977611yescharacteristic, complemented
744C2—62no—
745C2—122no—
746C2D3×#67⋊C411yescharacteristic
747C2#1059474911yescharacteristic
748C2#1059476611yescharacteristic
subgroupG/H
centerC22D32×D4
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×#3795C22
cosocleC2×C32×C4C24
hypercenter#103D32
hypocenterC32#2947
LCSG ▷ 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. #10595347C2semidirect
4. #10592488C2semidirect
5. C3×#4817C2semidirect
6. C3×D3×#103C2semidirect
7. #10591571C2semidirect
8. #10591537C2semidirect
10. #10590794C2semidirect
11. #10590743C2semidirect
12. #10590693C2semidirect
13. #10590580C2semidirect
14. #10590482C2semidirect
15. #10590475C2semidirect
28. #63946C4semidirect
79. #4817D3semidirect
80. D3×#103D3semidirect
96. C3×D3×Q8C2×C4semidirect
111. #3756C2×C4semidirect
119. C3×#215C2×C4semidirect
143. #3719C2×C4semidirect
144. #3715C2×C4semidirect
145. #3711C2×C4semidirect
310. D3×Q8C4×D3semidirect
353. #215C4×D3semidirect
670. C32#2947semidirect
742. C3#78774semidirect
743. C3#79776semidirect

Maximal subgroups

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

subgroupindex
#105953472
C2×#639462
#105943592
#105924882
C3×#48172
C3×D3×#1032
#105915712
#105915372
#105909542
#105907942
#105907432
#105906932
#105905802
#105904822
#105904752
#797763
#787743