Finite Group Databasebeta

← #11870672

Subgroups — #11870672

Order 1152.

848 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×#239C211yesmaximal, characteristic, complemented
2#10593976C211yesmaximal, characteristic, complemented
3#10592727C211yesmaximal, characteristic, complemented
4C3×#5022C211yesmaximal, characteristic, complemented
5#10591599C211yesmaximal, characteristic, complemented
6#10591588C211yesmaximal, characteristic
7#10591537C211yesmaximal, characteristic, complemented
8#10591536C211yesmaximal, characteristic, complemented
9#10590479C211yesmaximal, characteristic, complemented
10#10590456C211yesmaximal, characteristic, complemented
11#10590429C211yesmaximal, characteristic, complemented
12#10590425C211yesmaximal, characteristic, complemented
13#10590366C211yesmaximal, characteristic, complemented
14#10590270C211yesmaximal, characteristic, complemented
15#10590248C211yesmaximal, characteristic, complemented
16#82528—31nomaximal
17#81204—31nomaximal
18C2×C3×#239C2211yescharacteristic
19C32×C4×Q8C2211yescharacteristic
20C2×#3756C2211yescharacteristic
21C2×#3755C2211yescharacteristic
22#64084C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C3×#893—21no—
25C3×#893C2211yescharacteristic
26C3×#892—21no—
27C3×#892C2211yescharacteristic
28C3×C4×D12—21no—
29C3×C4×D12C2211yescharacteristic
30C3×C42×D3—21no—
31C3×C42×D3C2211yescharacteristic
32C3×#870C2211yescharacteristic
33#63909C2211yescharacteristic
34#63904—21no—
35#63894C2211yescharacteristic
36#63868—21no—
37#63857C2211yescharacteristic
38#63850—21no—
39#63844C2211yescharacteristic
40#63836—21no—
41C2×#3716C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43#63637C2211yescharacteristic
44#63636C2211yescharacteristic
45C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#808C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×C4⋊(C3⋊C8)C2211yescharacteristic
51#63576C2211yescharacteristic
52#63574C2211yescharacteristic
53#63567C2211yescharacteristic
54#63564C2211yescharacteristic
55#63562C2211yescharacteristic
56#63562C2211yescharacteristic
57(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
58(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×C4×#41—31no—
62#5691—31no—
63C4×#239D311yescharacteristic, complemented
64#5479—31no—
65C3×#479—31no—
66#5239—31no—
67#5238—31no—
68#5066—31no—
69C4×#216—31no—
70#5028—31no—
71#5028—31no—
72#5028—61no—
73C4×#215—31no—
74#5022D311yescharacteristic, complemented
75C4×#214—31no—
76#5016—31no—
77C4×#213—31no—
78#5009—31no—
79#5003—31no—
80#4996—31no—
81#4925—31no—
82#4888—31no—
83#4872—31no—
84#4866—31no—
85#4852—31no—
86#4844—31no—
87#4833—31no—
88#4810—31no—
89#4808—31no—
90#4790—31no—
91#4788—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C3×#239—22no—
96C3×#239—22no—
97C2×C3×D12—21no—
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3D411yescharacteristic
103C2×C3×C4×D3D411yescharacteristic
104C2×C3×C4×D3C2311yescharacteristic
105C2×#626—21no—
106C2×#624—21no—
107C32×C4⋊C4—21no—
108C32×C4⋊C4C2311yescharacteristic
109C32×C42—21no—
110C32×C42C2311yescharacteristic
111#3756—22no—
112#3755—22no—
113#3752—21no—
114#3752—21no—
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3—21no—
128C3×C4×Dic3D411yescharacteristic
129C3×C4×Dic3D411yescharacteristic
130C3×C4×Dic3C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133#3724—21no—
134Dic3⋊Dic3—21no—
135#3722—21no—
136#3722—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3716—22no—
140#3714—22no—
141#3102—91noSylow
142C2×C3×#41—31no—
143C2×#239C2×D311yescharacteristic
144C3×#125—31no—
145C3×C4×Q8—21no—
146C3×C4×Q8—31no—
147C3×C4×Q8C2×D311yescharacteristic
148C3×C4×Q8C2×D311yescharacteristic
149C3×C4×D4—31no—
150C3×C4×D4—31no—
151C3×C4×D4—61no—
152C3×C4×D4—61no—
153C3×#117—31no—
154C3×#117—61no—
155C2×C3×C42—31no—
156C2×C3×C42—61no—
157Q8×Dic3C2×D311yescharacteristic
158C2×#216—31no—
159C2×#216—31no—
160C2×#216—61no—
161C2×#215—31no—
162C2×#215—31no—
163C2×#215—61no—
164C2×#214—31no—
165C2×#213—31no—
166#930—31no—
167#929—61no—
168C4×#67—61no—
169#924—31no—
170C2×D24—31no—
171C2×#204—31no—
172#898—61no—
173#897—31no—
174#895—31no—
175#894—61no—
176#893—21no—
177#893—31no—
178#893—61no—
179#893C2×D311yescharacteristic
180#892—21no—
181#892—61no—
182#892C2×D311yescharacteristic
183#887—31no—
184#876—61no—
185#875—31no—
186#875—31no—
187#875—61no—
188C4×D12—21no—
189C4×D12—31no—
190C4×D12C2×D311yescharacteristic
191#872—61no—
192C42×D3—21no—
193C42×D3C2×D311yescharacteristic
194#870C2×D311yescharacteristic
195C4×Dic6—31no—
196C3×#107—31no—
197C3×#106—31no—
198C3×C4⋊C8—31no—
199C3×#103—31no—
200C3×#103—31no—
201#835C2×D311yescharacteristic
202#835C2×D311yescharacteristic
203#832—31no—
204#832—31no—
205#830—31no—
206#830—31no—
207#821—31no—
208(C2×D3)⋊C8—31no—
209(C2×D3)⋊C8—31no—
210#816—31no—
211C8×Dic3—31no—
212C8×Dic3—31no—
213#810—31no—
214#810—31no—
215#810—31no—
216#810—61no—
217#809—31no—
218#809—31no—
219#809—31no—
220#809—31no—
221#809—31no—
222#809—61no—
223#808—31no—
224#808—31no—
225#808C2×D311yescharacteristic
226#807—31no—
227#807—31no—
228#807C2×D311yescharacteristic
229C4⋊(C3⋊C8)—31no—
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—61no—
232C4⋊(C3⋊C8)C2×D311yescharacteristic
233C4×C3⋊C8—31no—
234C4×C3⋊C8—31no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8#4112yes—
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)—21no—
248#634—21no—
249#634—21no—
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—24no—
257C3×D12—21no—
258C3×D12#4112yes—
259C3×C4×D3—24no—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×C4×D3—22no—
263C3×C4×D3—41no—
264C3×C4×D3—42no—
265C3×C4×D3—42no—
266#626—42no—
267#624—42no—
268C3⋊(C3⋊C8)—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#529—91no—
273C4×#41—31no—
274#485—91no—
275#482—91no—
276#479—31no—
277#478—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282C4×Q16—91no—
283C4×SD16—91no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—21no—
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C22×C3×C4—31no—
295C22×C3×C4—31no—
296C22×C3×C4—31no—
297C22×C3×C4—61no—
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C2×#67—61no—
301#239—22no—
302#239—22no—
303C2×D12—21no—
304C2×D12—31no—
305C2×D12—31no—
306C2×D12—61no—
307C2×D12—61no—
308C2×D12C22×D311yescharacteristic
309C2×C4×D3—21no—
310C2×C4×D3—21no—
311C2×C4×D3—21no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3#6711yescharacteristic
315C2×C4×D3#6711yescharacteristic
316C2×C4×D3C22×D311yescharacteristic
317C2×Dic6—31no—
318C2×Dic6—31no—
319C2×Dic6—61no—
320C2×C3×C8—31no—
321C2×C3×C8—31no—
322C3×C4⋊C4—21no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
333C3×C4⋊C4C22×D311yescharacteristic
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C22⋊C4—61no—
337C3×C42—21no—
338C3×C42—21no—
339C3×C42—21no—
340C3×C42—31no—
341C3×C42—31no—
342C3×C42—31no—
343C3×C42—41no—
344C3×C42—61no—
345C3×C42—61no—
346C3×C42C22×D311yescharacteristic
347C3×C42C22×D311yescharacteristic
348#217—61no—
349#216—62no—
350#216—62no—
351#216—122no—
352#215—62no—
353#215—62no—
354#215—122no—
355#214—62no—
356#213—62no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—21no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
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—61no—
369(C2×D3)⋊C4—121no—
370(C2×D3)⋊C4—121no—
371C4⋊Dic3—21no—
372C4⋊Dic3—61no—
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375C4⋊Dic3C22×D311yescharacteristic
376Dic3⋊C4—21no—
377Dic3⋊C4—21no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381C4×Dic3—21no—
382C4×Dic3—21no—
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—
397#204—62no—
398C22×C32C22×D411yescharacteristic
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3×D3—21no—
403C2×C3×D3—22no—
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C32×C4—22no—
409C32×C4—21no—
410C32×C4—21no—
411C32×C4—41no—
412C32×C4C2×#4111yescharacteristic
413C32×C4C2×#4111yescharacteristic
414C3⋊Dic3—41no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C3×Dic3#13512yes—
421C2×#41—31no—
422C2×Q16—91no—
423C2×SD16—91no—
424C2×SD16—91no—
425C2×D8—91no—
426#126—181no—
427#125—31no—
428#124—91no—
429#123—181no—
430C22⋊Q8—91no—
431#121—91no—
432C4×Q8—31no—
433C4×Q8—91no—
434C4×Q8D3211yescharacteristic
435C4×D4—31no—
436C4×D4—31no—
437C4×D4—61no—
438C4×D4—61no—
439C4×D4—91no—
440C4×D4—181no—
441#117—31no—
442#117—61no—
443#117—181no—
444C2×C42—31no—
445C2×C42—61no—
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#103—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459#102—91no—
460C22⋊C8—91no—
461C22⋊C8—91no—
462C4×C8—91no—
463C4×C8—91no—
464C23×C3—31no—
465C23×C3—61no—
466C22×D3—21no—
467C22×D3—61no—
468C22×D3—61no—
469C22×D3—121no—
470C22×D3C2×#6711yescharacteristic
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—22no—
474C3×Q8—41no—
475C3×Q8#23512yes—
476C3×Q8#23912yes—
477C3×D4—32no—
478C3×D4—64no—
479C3×D4—61no—
480C2×C3×C4—21no—
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—31no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—41no—
491C2×C3×C4—41no—
492C2×C3×C4—62no—
493C2×C3×C4—64no—
494C2×C3×C4—61no—
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×C4—122no—
502C2×C3×C4D3×D411yescharacteristic
503C2×C3×C4D3×D411yescharacteristic
504C2×C3×C4C2×#6711yescharacteristic
505C2×C3×C4C2×#6711yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508#67—122no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—21no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—121no—
515C2×Dic3C2×#6711yescharacteristic
516C2×Dic3C2×#6711yescharacteristic
517C2×Dic3C2×#6711yescharacteristic
518D12—24no—
519D12—21no—
520D12—61no—
521D12—61no—
522D12—61no—
523D12—61no—
524D12—121no—
525D12—121no—
526D12—122no—
527D12#23512yes—
528C4×D3—24no—
529C4×D3—21no—
530C4×D3—21no—
531C4×D3—22no—
532C4×D3—41no—
533C4×D3—42no—
534C4×D3—42no—
535C4×D3—122no—
536C4×D3—122no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—61no—
541Dic6—121no—
542Dic6—121no—
543C3×C8—61no—
544C3×C8—61no—
545C3⋊C8—21no—
546C3⋊C8—21no—
547C3⋊C8—61no—
548C3⋊C8—61no—
549C3⋊C8—61no—
550C3⋊C8—61no—
551C3⋊C8—121no—
552C3⋊C8—121no—
553C2×C32#52511yescharacteristic
554C2×C32C2×#13511yescharacteristic
555C2×C32#57511yescharacteristic
556C3⋊D3—81no—
557C3×D3—41no—
558C3×D3—42no—
559#41—62no—
560#41—62no—
561C2×Q8—91no—
562C2×Q8C2×D3211yescharacteristic
563C2×D4—31no—
564C2×D4—61no—
565C2×D4—91no—
566C2×D4—181no—
567C22×C4—31no—
568C22×C4—31no—
569C22×C4—31no—
570C22×C4—61no—
571C22×C4—61no—
572C22×C4—61no—
573C22×C4—181no—
574Q16—182no—
575SD16—182no—
576SD16—182no—
577D8—182no—
578C2×C8—31no—
579C2×C8—31no—
580C2×C8—91no—
581C2×C8—91no—
582C4⋊C4—21no—
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—31no—
586C4⋊C4—61no—
587C4⋊C4—61no—
588C4⋊C4—61no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C4⋊C4C2×D3211yescharacteristic
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C42—21no—
601C42—31no—
602C42—31no—
603C42—31no—
604C42—61no—
605C42—61no—
606C42—181no—
607C42C2×D3211yescharacteristic
608C22×C3—21no—
609C22×C3—61no—
610C22×C3—61no—
611C22×C3—62no—
612C22×C3—61no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3C2×D3×D411yescharacteristic
616C22×C3C22×#6711yescharacteristic
617C2×D3—21no—
618C2×D3—22no—
619C2×D3—21no—
620C2×D3—21no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—241no—
630C2×D3—241no—
631C2×D3—241no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—22no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—22no—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—32no—
641C3×C4—41no—
642C3×C4—41no—
643C3×C4—42no—
644C3×C4—41no—
645C3×C4—41no—
646C3×C4—61no—
647C3×C4—61no—
648C3×C4—81no—
649C3×C4—121no—
650C3×C4—121no—
651C3×C4—121no—
652C3×C4C2×#23511yescharacteristic
653C3×C4C2×#23511yescharacteristic
654C3×C4C2×#23911yescharacteristic
655C3×C4D3×#4111yescharacteristic
656Dic3—21no—
657Dic3—21no—
658Dic3—41no—
659Dic3—41no—
660Dic3—41no—
661Dic3—121no—
662Dic3—121no—
663Dic3—241no—
664Dic3#95012yes—
665C32#310211yescharacteristic, complemented, Sylow
666C23—31no—
667C23—61no—
668C23—181no—
669Q8—21no—
670Q8—181no—
671Q8—181no—
672Q8#379912yes—
673D4—32no—
674D4—64no—
675D4—61no—
676D4—181no—
677D4—181no—
678D4—362no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—62no—
685C2×C4—64no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—121no—
692C2×C4—122no—
693C2×C4—122no—
694C2×C4—181no—
695C2×C4—362no—
696C2×C4D3×#6711yescharacteristic
697C2×C4D3×#6711yescharacteristic
698C2×C4C22×D3211yescharacteristic
699C8—61no—
700C8—61no—
701C8—181no—
702C8—181no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—121no—
707C2×C3—122no—
708C2×C3#562711yescharacteristic
709C2×C3D3×#13511yescharacteristic
710C2×C3#577711yescharacteristic
711C2×C3#579111yescharacteristic
712C2×C3C2×#95011yescharacteristic
713C2×C3#582211yescharacteristic
714D3—41no—
715D3—42no—
716D3—241no—
717D3—241no—
718D3—481no—
719C22—61no—
720C22—62no—
721C22—61no—
722C22—61no—
723C22—121no—
724C22—121no—
725C22—361no—
726C22—361no—
727C22—361no—
728C22C2×D3×#6711yescharacteristic
729C4—21no—
730C4—22no—
731C4—21no—
732C4—32no—
733C4—41no—
734C4—61no—
735C4—61no—
736C4—121no—
737C4—121no—
738C4—121no—
739C4—361no—
740C4C2×#379911yescharacteristic
741C4D3×#23511yescharacteristic
742C3—21no—
743C3#8120411yescharacteristic, complemented
744C3#8252811yescharacteristic, complemented
745C2—121no—
746C2—122no—
747C2—721no—
748C2#1059500511yescharacteristic
749C2#1059531711yescharacteristic
750C2D3×#95011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radical#10591588C2
hypercenterC4×Q8D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C3×C4×#239C2semidirect
2. #10593976C2semidirect
3. #10592727C2semidirect
4. C3×#5022C2semidirect
5. #10591599C2semidirect
7. #10591537C2semidirect
8. #10591536C2semidirect
9. #10590479C2semidirect
10. #10590456C2semidirect
11. #10590429C2semidirect
12. #10590425C2semidirect
13. #10590366C2semidirect
14. #10590270C2semidirect
15. #10590248C2semidirect
63. C4×#239D3semidirect
74. #5022D3semidirect
665. C32#3102semidirect
743. C3#81204semidirect
744. C3#82528semidirect

Maximal subgroups

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

subgroupindex
C3×C4×#2392
#105939762
#105927272
C3×#50222
#105915992
#105915882
#105915372
#105915362
#105904792
#105904562
#105904292
#105904252
#105903662
#105902702
#105902482
#825283
#812043