Finite Group Databasebeta

← #11870625

Subgroups — #11870625

Order 1152.

853 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
1C3×#5580C211yesmaximal, characteristic, complemented
2C4×#3799C211yesmaximal, characteristic, complemented
3C4×#3755C211yesmaximal, characteristic, complemented
4C3×C4×#216C211yesmaximal, characteristic, complemented
5#10591657C211yesmaximal, characteristic, complemented
6#10591578C211yesmaximal, characteristic, complemented
7#10591568C211yesmaximal, characteristic, complemented
8#10591558C211yesmaximal, characteristic, complemented
9#10590615C211yesmaximal, characteristic
10#10590491C211yesmaximal, characteristic, complemented
11#10590468C211yesmaximal, characteristic, complemented
12#10590446C211yesmaximal, characteristic, complemented
13C4×#3715C211yesmaximal, characteristic, complemented
14C4×#3714C211yesmaximal, characteristic, complemented
15#10590261C211yesmaximal, characteristic, complemented
16#83140—31nomaximal
17#79746—31nomaximal
18C2×#3799C2211yescharacteristic
19C32×C4×Q8C2211yescharacteristic
20C2×#3755C2211yescharacteristic
21C4×C4⋊(C3⋊D3)C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C2×C3×#216C2211yescharacteristic
25C3×#898—21no—
26C3×#895C2211yescharacteristic
27C3×#894—21no—
28C3×#890C2211yescharacteristic
29C3×C4×D12—21no—
30C3×C4×D12C2211yescharacteristic
31C3×#872—21no—
32C3×C42×D3C2211yescharacteristic
33C3×C4×Dic6C2211yescharacteristic
34#63904—21no—
35C4×#626—21no—
36#63894C2211yescharacteristic
37C4×#624—21no—
38Dic3×Dic6C2211yescharacteristic
39#63841C2211yescharacteristic
40#63836—21no—
41C2×#3715C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43#63662C2211yescharacteristic
44#63636C2211yescharacteristic
45#63635C2211yescharacteristic
46C4×C3⋊(C3⋊C8)C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#810C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×C4×C3⋊C8C2211yescharacteristic
51#63575C2211yescharacteristic
52#63574C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63565C2211yescharacteristic
56#63564C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
61C3×#529—31no—
62#5580D311yescharacteristic, complemented
63C4×#239—31no—
64C4×#235—31no—
65C3×C4×Q16—31no—
66#5187—31no—
67#5185—31no—
68#5066—31no—
69#5063—31no—
70#5057—31no—
71#5054—31no—
72#5047—31no—
73#5045—31no—
74#5037—31no—
75#5035—31no—
76C4×#216D311yescharacteristic, complemented
77C4×#215—31no—
78C4×#215—31no—
79C4×#215—31no—
80C4×#215—61no—
81C4×#214—31no—
82C4×#213—31no—
83#4925—31no—
84#4891—31no—
85#4885—31no—
86#4819—31no—
87#4814—31no—
88#4810—31no—
89#4796—31no—
90C4×D24—31no—
91#4685—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C3×D12—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3D411yescharacteristic
99C2×C3×C4×D3D411yescharacteristic
100C2×C3×C4×D3C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#626—21no—
103C2×#624—21no—
104C2×#624—21no—
105#3799—22no—
106#3799—22no—
107C32×C4⋊C4—21no—
108C32×C4⋊C4C2311yescharacteristic
109C32×C42—21no—
110C32×C42C2311yescharacteristic
111#3755—22no—
112#3752—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×#216—22no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×Dic3⋊C4—21no—
128C3×C4×Dic3—21no—
129C3×C4×Dic3D411yescharacteristic
130C3×C4×Dic3D411yescharacteristic
131C3×C4×Dic3C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133C2×C3×C3⋊C8C2311yescharacteristic
134Dic3⋊Dic3—21no—
135#3722—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
139#3715—22no—
140#3714—22no—
141#3102—91noSylow
142C2×#239—31no—
143C2×#235—31no—
144C2×C3×Q16—31no—
145C3×#126—61no—
146C3×#125—31no—
147C3×#124—31no—
148C3×#123—61no—
149C3×C22⋊Q8—31no—
150C3×#121—31no—
151C3×C4×Q8—21no—
152C3×C4×Q8—31no—
153C3×C4×Q8C2×D311yescharacteristic
154C3×C4×Q8C2×D311yescharacteristic
155C3×C4×D4—31no—
156C3×C4×D4—61no—
157C3×#117—61no—
158C2×C3×C42—31no—
159#947C2×D311yescharacteristic
160#946C2×D311yescharacteristic
161Q8×Dic3—31no—
162C2×#216C2×D311yescharacteristic
163C2×#215—31no—
164C2×#215—31no—
165C2×#215—31no—
166C2×#215—61no—
167C2×#214—31no—
168C2×#213—31no—
169C4×#67—61no—
170C4×#67—61no—
171#926—31no—
172C2×D24—31no—
173#898—21no—
174#895C2×D311yescharacteristic
175#894—21no—
176#893—31no—
177#893—61no—
178#892—31no—
179#892—61no—
180#890C2×D311yescharacteristic
181C4×D12—21no—
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—31no—
185C4×D12—61no—
186C4×D12—61no—
187C4×D12C2×D311yescharacteristic
188#872—21no—
189#872—61no—
190C42×D3—61no—
191C42×D3—61no—
192C42×D3C2×D311yescharacteristic
193C4×Dic6—31no—
194C4×Dic6C2×D311yescharacteristic
195C3×#107—31no—
196C3×#103—31no—
197C3×#103—31no—
198C3×C4×C8—31no—
199#835—31no—
200#835—31no—
201#835—31no—
202#835—61no—
203#835C2×D311yescharacteristic
204#832—31no—
205#832—31no—
206#830—31no—
207#830—31no—
208#821—31no—
209#821—31no—
210(C2×D3)⋊C8—31no—
211(C2×D3)⋊C8—31no—
212#818—31no—
213Dic3⋊C8—31no—
214Dic3⋊C8—31no—
215#810—31no—
216#810C2×D311yescharacteristic
217#809—31no—
218#809—31no—
219#809—31no—
220#809—31no—
221#809—61no—
222#808—31no—
223#808—31no—
224#808—31no—
225#808—31no—
226#808—61no—
227#807—31no—
228#807C2×D311yescharacteristic
229C4⋊(C3⋊C8)—31no—
230C4⋊(C3⋊C8)—31no—
231C4×C3⋊C8—31no—
232C4×C3⋊C8—31no—
233C4×C3⋊C8—61no—
234C4×C3⋊C8C2×D311yescharacteristic
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)#4112yes—
248C4×C3⋊D3—42no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—42no—
258C3×C4×D3—22no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—41no—
262C3×C4×D3—42no—
263C3×Dic6—21no—
264C3×Dic6#4112yes—
265#626—24no—
266#624—24no—
267#624—42no—
268C3⋊(C3⋊C8)—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#529—31no—
273C4×#41—91no—
274#485—91no—
275#482—91no—
276#479—91no—
277#478—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282C4×Q16—31no—
283C4×SD16—91no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—91no—
287C2×C3×Q8—21no—
288C2×C3×Q8—31no—
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×D4—31no—
292C2×C3×D4—61no—
293C22×C3×C4—31no—
294C22×C3×C4—31no—
295C22×C3×C4—31no—
296C22×C3×C4—61no—
297C2×#67—61no—
298#239—62no—
299#239—62no—
300#235—62no—
301#235—62no—
302C2×D12—21no—
303C2×D12—31no—
304C2×D12—31no—
305C2×D12—61no—
306C2×D12—61no—
307C2×D12C22×D311yescharacteristic
308C2×C4×D3—21no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—121no—
316C2×C4×D3#6711yescharacteristic
317C2×C4×D3#6711yescharacteristic
318C2×C4×D3C22×D311yescharacteristic
319C2×Dic6C22×D311yescharacteristic
320C3×Q16—62no—
321C2×C3×C8—31no—
322C2×C3×C8—31no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—41no—
329C3×C4⋊C4—61no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4C22×D311yescharacteristic
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C22⋊C4—61no—
336C3×C22⋊C4—61no—
337C3×C22⋊C4—61no—
338C3×C22⋊C4—61no—
339C3×C22⋊C4—61no—
340C3×C42—21no—
341C3×C42—21no—
342C3×C42—21no—
343C3×C42—31no—
344C3×C42—31no—
345C3×C42—31no—
346C3×C42—41no—
347C3×C42—61no—
348C3×C42C22×D311yescharacteristic
349C3×C42C22×D311yescharacteristic
350#217—61no—
351#216—22no—
352#215—62no—
353#215—62no—
354#215—62no—
355#215—64no—
356#214—62no—
357#213—62no—
358(C2×D3)⋊C4—21no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—21no—
361(C2×D3)⋊C4—21no—
362(C2×D3)⋊C4—21no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—121no—
369C4⋊Dic3—21no—
370C4⋊Dic3—31no—
371C4⋊Dic3—31no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3C22×D311yescharacteristic
375C4⋊Dic3C22×D311yescharacteristic
376Dic3⋊C4—21no—
377Dic3⋊C4—21no—
378Dic3⋊C4—21no—
379Dic3⋊C4—61no—
380C4×Dic3—21no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3#6711yescharacteristic
386C4×Dic3#6711yescharacteristic
387C4×Dic3C22×D311yescharacteristic
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8—61no—
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396D24—62no—
397C22×C32C22×D411yescharacteristic
398C2×C3⋊D3—22no—
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3×D3—21no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C32×C4—21no—
408C32×C4—41no—
409C32×C4—41no—
410C32×C4#13512yes—
411C32×C4C2×#4111yescharacteristic
412C32×C4C2×#4111yescharacteristic
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—22no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C2×#41—91no—
421C2×Q16—31no—
422C2×SD16—91no—
423C2×SD16—91no—
424C2×D8—91no—
425#126—61no—
426#125—31no—
427#124—31no—
428#123—61no—
429C22⋊Q8—31no—
430#121—31no—
431C4×Q8—31no—
432C4×Q8—91no—
433C4×Q8D3211yescharacteristic
434C4×D4—31no—
435C4×D4—61no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—181no—
439C4×D4—181no—
440#117—61no—
441#117—91no—
442#117—181no—
443C2×C42—31no—
444C2×C42—181no—
445#107—31no—
446#107—91no—
447#106—91no—
448#106—91no—
449C4⋊C8—91no—
450C4⋊C8—91no—
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—91no—
460C22⋊C8—91no—
461C4×C8—31no—
462C4×C8—91no—
463C23×C3—31no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—61no—
467C22×D3—61no—
468C22×D3—121no—
469C22×D3C2×#6711yescharacteristic
470C3×Q8—22no—
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8—32no—
476C3×Q8—41no—
477C3×Q8—61no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—122no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—61no—
494C2×C3×C4—62no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—121no—
500C2×C3×C4—122no—
501C2×C3×C4D3×D411yescharacteristic
502C2×C3×C4D3×D411yescharacteristic
503C2×C3×C4C2×#6711yescharacteristic
504C2×C3×C4C2×#6711yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507#67—64no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—121no—
514C2×Dic3C2×#6711yescharacteristic
515C2×Dic3C2×#6711yescharacteristic
516C2×Dic3C2×#6711yescharacteristic
517D12—21no—
518D12—21no—
519D12—32no—
520D12—32no—
521D12—42no—
522D12—62no—
523D12—64no—
524D12—61no—
525D12—61no—
526D12—121no—
527C4×D3—22no—
528C4×D3—21no—
529C4×D3—21no—
530C4×D3—41no—
531C4×D3—42no—
532C4×D3—64no—
533C4×D3—64no—
534C4×D3—122no—
535C4×D3—122no—
536C4×D3—122no—
537C4×D3—122no—
538C4×D3—242no—
539Dic6—21no—
540Dic6#23512yes—
541C3×C8—61no—
542C3×C8—61no—
543C3⋊C8—21no—
544C3⋊C8—21no—
545C3⋊C8—62no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—61no—
549C3⋊C8—61no—
550C3⋊C8—121no—
551C2×C32#52511yescharacteristic
552C2×C32C2×#13511yescharacteristic
553C2×C32#57511yescharacteristic
554C3⋊D3—42no—
555C3×D3—41no—
556C3×D3—81no—
557#41—182no—
558#41—182no—
559C2×Q8—31no—
560C2×Q8C2×D3211yescharacteristic
561C2×D4—31no—
562C2×D4—61no—
563C2×D4—91no—
564C2×D4—181no—
565C22×C4—31no—
566C22×C4—31no—
567C22×C4—31no—
568C22×C4—61no—
569C22×C4—181no—
570C22×C4—181no—
571C22×C4—181no—
572Q16—62no—
573SD16—182no—
574SD16—182no—
575D8—182no—
576C2×C8—31no—
577C2×C8—31no—
578C2×C8—91no—
579C2×C8—91no—
580C4⋊C4—21no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—91no—
588C4⋊C4—181no—
589C4⋊C4C2×D3211yescharacteristic
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C42—21no—
599C42—31no—
600C42—31no—
601C42—31no—
602C42—61no—
603C42—181no—
604C42—181no—
605C42C2×D3211yescharacteristic
606C22×C3—21no—
607C22×C3—61no—
608C22×C3—61no—
609C22×C3—61no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3C2×D3×D411yescharacteristic
614C22×C3C22×#6711yescharacteristic
615C2×D3—21no—
616C2×D3—21no—
617C2×D3—21no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—62no—
622C2×D3—62no—
623C2×D3—122no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—241no—
629C2×D3—241no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—22no—
635C3×C4—41no—
636C3×C4—42no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—62no—
645C3×C4—81no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4#91912yes—
649C3×C4#95012yes—
650C3×C4C2×#23511yescharacteristic
651C3×C4D3×#4111yescharacteristic
652C3×C4D3×#4111yescharacteristic
653C3×C4D3×#4111yescharacteristic
654Dic3—22no—
655Dic3—21no—
656Dic3—21no—
657Dic3—21no—
658Dic3—41no—
659Dic3—41no—
660Dic3—121no—
661Dic3—121no—
662Dic3—241no—
663C32#310211yescharacteristic, complemented, Sylow
664C23—31no—
665C23—61no—
666C23—181no—
667Q8—21no—
668Q8—21no—
669Q8—32no—
670Q8—61no—
671D4—61no—
672D4—61no—
673D4—92no—
674D4—122no—
675D4—184no—
676D4—181no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—31no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—62no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—121no—
689C2×C4—122no—
690C2×C4—184no—
691C2×C4—181no—
692C2×C4—362no—
693C2×C4—362no—
694C2×C4D3×#6711yescharacteristic
695C2×C4D3×#6711yescharacteristic
696C2×C4C22×D3211yescharacteristic
697C8—61no—
698C8—61no—
699C8—181no—
700C8—181no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—121no—
705C2×C3—241no—
706C2×C3#554711yescharacteristic
707C2×C3C2×#91911yescharacteristic
708C2×C3#576811yescharacteristic
709C2×C3C2×#95011yescharacteristic
710C2×C3#582211yescharacteristic
711C2×C3#582811yescharacteristic
712D3—41no—
713D3—81no—
714D3—122no—
715D3—122no—
716D3—242no—
717C22—61no—
718C22—61no—
719C22—61no—
720C22—121no—
721C22—121no—
722C22—121no—
723C22—182no—
724C22—361no—
725C22—361no—
726C22C2×D3×#6711yescharacteristic
727C4—21no—
728C4—41no—
729C4—41no—
730C4—61no—
731C4—61no—
732C4—61no—
733C4—62no—
734C4—121no—
735C4—121no—
736C4—361no—
737C4#6394912yes—
738C4D3×#23511yescharacteristic
739C4#6430611yescharacteristic
740C3—21no—
741C3#7974611yescharacteristic, complemented
742C3#8314011yescharacteristic, complemented
743C2—121no—
744C2—241no—
745C2—362no—
746C2#1059506011yescharacteristic
747C2C2×#6394911yescharacteristic
748C2#1059545311yescharacteristic
subgroupG/H
centerC2×C4D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radical#10590615C2
hypercenterC4×Q8D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5580C2semidirect
2. C4×#3799C2semidirect
3. C4×#3755C2semidirect
4. C3×C4×#216C2semidirect
5. #10591657C2semidirect
6. #10591578C2semidirect
7. #10591568C2semidirect
8. #10591558C2semidirect
10. #10590491C2semidirect
11. #10590468C2semidirect
12. #10590446C2semidirect
13. C4×#3715C2semidirect
14. C4×#3714C2semidirect
15. #10590261C2semidirect
62. #5580D3semidirect
76. C4×#216D3semidirect
663. C32#3102semidirect
741. C3#79746semidirect
742. C3#83140semidirect

Maximal subgroups

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

subgroupindex
C3×#55802
C4×#37992
C4×#37552
C3×C4×#2162
#105916572
#105915782
#105915682
#105915582
#105906152
#105904912
#105904682
#105904462
C4×#37152
C4×#37142
#105902612
#831403
#797463