Finite Group Databasebeta

← #11870591

Subgroups — #11870591

Order 1152.

868 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5624C211yesmaximal, characteristic, complemented
2#10594954C211yesmaximal, characteristic, complemented
3#10592746C211yesmaximal, characteristic, complemented
4C3×#5045C211yesmaximal, characteristic, complemented
5#10591577C211yesmaximal, characteristic, complemented
6#10591568C211yesmaximal, characteristic, complemented
7#10591537C211yesmaximal, characteristic, complemented
8#10591536C211yesmaximal, characteristic, complemented
9#10591182C211yesmaximal, characteristic
10#10591090C211yesmaximal, characteristic, complemented
11#10591053C211yesmaximal, characteristic, complemented
12#10590492C211yesmaximal, characteristic, complemented
13#10590479C211yesmaximal, characteristic, complemented
14#10590470C211yesmaximal, characteristic, complemented
15#10590456C211yesmaximal, characteristic, complemented
16#83140—31nomaximal
17#81492—31nomaximal
18C2×#3828C2211yescharacteristic
19C32×C22⋊Q8C2211yescharacteristic
20C2×#3756C2211yescharacteristic
21C2×#3755C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C3×#930C2211yescharacteristic
25C3×#926C2211yescharacteristic
26C2×C3×C4×Dic3C2211yescharacteristic
27C3×#898—21no—
28C3×#893C2211yescharacteristic
29C3×#892—21no—
30C3×#890C2211yescharacteristic
31C3×#886—21no—
32C3×#67⋊C4—21no—
33#63952—21no—
34#63952—21no—
35#63894C2211yescharacteristic
36#63894C2211yescharacteristic
37C4×#624—21no—
38#63874—21no—
39#63844C2211yescharacteristic
40#63844C2211yescharacteristic
41C2×#3716C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43#63657C2211yescharacteristic
44#63637C2211yescharacteristic
45#63636C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#830C2211yescharacteristic
49C3×#808C2211yescharacteristic
50C3×#807C2211yescharacteristic
51#63576C2211yescharacteristic
52#63574C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63567C2211yescharacteristic
56#63564C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#529—31no—
62#5624D311yescharacteristic, complemented
63#5522—31no—
64C4×#235—31no—
65C3×#485—31no—
66#5066—31no—
67#5063—31no—
68#5057—31no—
69#5054—31no—
70#5047—31no—
71#5047—31no—
72#5047—61no—
73#5045D311yescharacteristic, complemented
74#5037—31no—
75#5035—31no—
76C4×#216—31no—
77C4×#215—31no—
78C4×#214—31no—
79C4×#213—31no—
80#5003—31no—
81#4925—31no—
82#4877—31no—
83#4872—31no—
84#4871—31no—
85#4852—31no—
86#4819—31no—
87#4798—31no—
88#4790—31no—
89#4788—31no—
90#4734—31no—
91#4718—31no—
92C2×C32×Q8C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C2×#638—21no—
95#3828—22no—
96#3828—22no—
97C2×C4⋊(C3⋊D3)C2311yescharacteristic
98C2×C4×C3⋊D3—21no—
99C2×#634C2311yescharacteristic
100C2×C3×#67—21no—
101C22×C3×Dic3D411yescharacteristic
102C22×C3×Dic3D411yescharacteristic
103C2×C3×D12C2311yescharacteristic
104C2×C3×C4×D3—21no—
105C2×#624—21no—
106C2×#624—21no—
107C32×C4⋊C4—21no—
108C32×C4⋊C4C2311yescharacteristic
109C32×C22⋊C4—21no—
110#3756—22no—
111#3755—22no—
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3D411yescharacteristic
128C3×C4×Dic3D411yescharacteristic
129C3×C4×Dic3C2311yescharacteristic
130C3×C4×Dic3C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133#3724—21no—
134#3724—21no—
135#3722—21no—
136#3722—21no—
137Dic32—21no—
138Dic32—21no—
139#3716—22no—
140#3714—22no—
141#3102—91noSylow
142C2×#235—31no—
143C2×#235—31no—
144C2×#235—61no—
145C3×#126—61no—
146C3×#125—31no—
147C3×#124—31no—
148C3×#123—61no—
149C3×C22⋊Q8—21no—
150C3×C22⋊Q8C2×D311yescharacteristic
151C3×C22⋊Q8C2×D311yescharacteristic
152C3×#121—31no—
153C3×C4×Q8—31no—
154C3×C4×D4—31no—
155C3×C4×D4—61no—
156C3×#117—31no—
157C3×#117—61no—
158C2×C3×C42—31no—
159#947C2×D311yescharacteristic
160Q8×Dic3C2×D311yescharacteristic
161C2×#216—31no—
162C2×#216—31no—
163C2×#216—61no—
164C2×#215—31no—
165C2×#215—31no—
166C2×#215—61no—
167C2×#214—31no—
168C2×#213—31no—
169#930C2×D311yescharacteristic
170C4×#67—61no—
171C4×#67—61no—
172#926C2×D311yescharacteristic
173C2×C4×Dic3C2×D311yescharacteristic
174C2×D24—31no—
175C2×#204—31no—
176#898—21no—
177#893—31no—
178#893—31no—
179#893C2×D311yescharacteristic
180#892—21no—
181#890C2×D311yescharacteristic
182#887—31no—
183#887—31no—
184#886—21no—
185#67⋊C4—21no—
186#67⋊C4—61no—
187#67⋊C4—61no—
188C4×D12—31no—
189C4×D12—31no—
190#872—61no—
191#872—61no—
192C42×D3—61no—
193C42×D3—61no—
194C4×Dic6—31no—
195C4×Dic6—31no—
196C3×#107—31no—
197C3×#106—31no—
198C3×#103—31no—
199C3×#103—31no—
200C3×C22⋊C8—31no—
201#835C2×D311yescharacteristic
202#835C2×D311yescharacteristic
203#832—31no—
204#832—31no—
205#830—31no—
206#830—31no—
207#830—61no—
208#830C2×D311yescharacteristic
209#821—31no—
210#816—31no—
211Dic3⋊C8—31no—
212Dic3⋊C8—31no—
213C8×Dic3—31no—
214C8×Dic3—31no—
215#810—31no—
216#810—31no—
217#810—31no—
218#810—61no—
219#809—31no—
220#809—31no—
221#809—31no—
222#809—31no—
223#809—31no—
224#809—61no—
225#808—31no—
226#808—31no—
227#808C2×D311yescharacteristic
228#807—31no—
229#807—31no—
230#807C2×D311yescharacteristic
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)—31no—
233C4×C3⋊C8—31no—
234C4×C3⋊C8—31no—
235C23×C32C2×D411yescharacteristic
236C22×C3⋊D3—21no—
237C22×C3×D3—21no—
238C32×Q8—21no—
239C32×Q8—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2411yescharacteristic
246#638—24no—
247C2×C3⋊Dic3—21no—
248C4⋊(C3⋊D3)—21no—
249C4⋊(C3⋊D3)#4112yes—
250C4×C3⋊D3—24no—
251#634—21no—
252#634#4112yes—
253C3×#67—42no—
254C2×C3×Dic3—22no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3—41no—
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C2×C3×Dic3C2×D411yescharacteristic
262C2×C3×Dic3C2×D411yescharacteristic
263C3×D12—21no—
264C3×D12—21no—
265C3×C4×D3—42no—
266#624—42no—
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—31no—
275#482—91no—
276#479—91no—
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—
287C2×C3×Q8—21no—
288C2×C3×Q8C22×D311yescharacteristic
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×D4—31no—
291C2×C3×D4—61no—
292C22×C3×C4—21no—
293C22×C3×C4—31no—
294C22×C3×C4—31no—
295C22×C3×C4—61no—
296C22×C3×C4C22×D311yescharacteristic
297C22×C3×C4C22×D311yescharacteristic
298C2×#67—21no—
299C2×#67—61no—
300C2×#67—61no—
301C2×#67—121no—
302C22×Dic3#6711yescharacteristic
303C22×Dic3#6711yescharacteristic
304#235—62no—
305#235—62no—
306#235—62no—
307#235—62no—
308#235—122no—
309#235—122no—
310C2×D12—31no—
311C2×D12—31no—
312C2×D12—61no—
313C2×D12C22×D311yescharacteristic
314C2×C4×D3—21no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—121no—
322C2×Dic6—31no—
323C2×Dic6—31no—
324C2×Dic6—61no—
325C2×C3×C8—31no—
326C2×C3×C8—31no—
327C3×C4⋊C4—21no—
328C3×C4⋊C4—21no—
329C3×C4⋊C4—21no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—41no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C22⋊C4—21no—
340C3×C22⋊C4—21no—
341C3×C22⋊C4—41no—
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C22⋊C4—61no—
345C3×C22⋊C4—61no—
346C3×C22⋊C4—61no—
347C3×C42—31no—
348C3×C42—31no—
349C3×C42—31no—
350C3×C42—31no—
351C3×C42—61no—
352C3×C42—61no—
353#217—21no—
354#216—62no—
355#216—62no—
356#216—122no—
357#215—62no—
358#215—62no—
359#215—122no—
360#214—62no—
361#213—62no—
362(C2×D3)⋊C4—21no—
363(C2×D3)⋊C4—21no—
364(C2×D3)⋊C4—21no—
365(C2×D3)⋊C4—21no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—61no—
370C4⋊Dic3—21no—
371C4⋊Dic3—21no—
372C4⋊Dic3C22×D311yescharacteristic
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—21no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380C4×Dic3—21no—
381C4×Dic3—21no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3#6711yescharacteristic
387C4×Dic3#6711yescharacteristic
388C4×Dic3C22×D311yescharacteristic
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—31no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—61no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398D24—62no—
399#204—62no—
400C22×C32—21no—
401C22×C32—21no—
402C22×C32—21no—
403C22×C32C22×D411yescharacteristic
404C2×C3⋊D3—22no—
405C2×C3⋊D3—41no—
406C2×C3⋊D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C32×C4—21no—
411C32×C4—41no—
412C32×C4—41no—
413C32×C4C2×#4111yescharacteristic
414C32×C4C2×#4111yescharacteristic
415C3⋊Dic3—22no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—21no—
419C3×Dic3—41no—
420C3×Dic3—41no—
421C3×Dic3—41no—
422C3×Dic3#13512yes—
423C2×#41—91no—
424C2×Q16—91no—
425C2×SD16—91no—
426C2×SD16—91no—
427C2×D8—91no—
428#126—61no—
429#125—31no—
430#124—31no—
431#123—61no—
432C22⋊Q8D3211yescharacteristic
433#121—31no—
434C4×Q8—31no—
435C4×Q8—91no—
436C4×Q8—91no—
437C4×D4—31no—
438C4×D4—61no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4—181no—
442C4×D4—181no—
443#117—31no—
444#117—61no—
445#117—181no—
446C2×C42—31no—
447C2×C42—181no—
448#107—31no—
449#107—91no—
450#106—31no—
451#106—91no—
452C4⋊C8—91no—
453C4⋊C8—91no—
454#103—31no—
455#103—31no—
456#103—91no—
457#103—91no—
458#102—91no—
459#102—91no—
460#102—91no—
461#102—91no—
462C22⋊C8—31no—
463C22⋊C8—91no—
464C4×C8—91no—
465C4×C8—91no—
466C23×C3—21no—
467C23×C3—61no—
468C23×C3D3×D411yescharacteristic
469C23×C3C2×#6711yescharacteristic
470C22×D3—21no—
471C22×D3—61no—
472C22×D3—61no—
473C22×D3—121no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—41no—
479C3×Q8—41no—
480C3×D4—61no—
481C3×D4—61no—
482C3×D4—122no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—41no—
500C2×C3×C4—41no—
501C2×C3×C4—62no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4—122no—
506C2×C3×C4—121no—
507C2×C3×C4D3×D411yescharacteristic
508C2×C3×C4C2×#6711yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510C2×C3×C4C23×D311yescharacteristic
511#67—42no—
512#67—64no—
513#67—64no—
514#67—124no—
515C2×Dic3—22no—
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—21no—
519C2×Dic3—41no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—121no—
523C2×Dic3C2×#6711yescharacteristic
524C2×Dic3C2×#6711yescharacteristic
525C2×Dic3C2×#6711yescharacteristic
526C2×Dic3C2×#6711yescharacteristic
527D12—21no—
528D12—21no—
529D12—32no—
530D12—32no—
531D12—62no—
532D12—61no—
533D12—61no—
534D12—121no—
535C4×D3—42no—
536C4×D3—64no—
537C4×D3—64no—
538C4×D3—124no—
539C4×D3—122no—
540C4×D3—122no—
541C4×D3—122no—
542C4×D3—122no—
543Dic6—32no—
544Dic6—32no—
545Dic6—62no—
546Dic6—61no—
547Dic6—61no—
548Dic6—121no—
549C3×C8—61no—
550C3×C8—61no—
551C3⋊C8—21no—
552C3⋊C8—21no—
553C3⋊C8—61no—
554C3⋊C8—61no—
555C3⋊C8—61no—
556C3⋊C8—61no—
557C3⋊C8—121no—
558C3⋊C8—121no—
559C2×C32—41no—
560C2×C32#52511yescharacteristic
561C2×C32C2×#13511yescharacteristic
562C2×C32#57511yescharacteristic
563C3⋊D3—42no—
564C3×D3—81no—
565#41—182no—
566#41—182no—
567C2×Q8—91no—
568C2×Q8C2×D3211yescharacteristic
569C2×D4—31no—
570C2×D4—61no—
571C2×D4—91no—
572C2×D4—181no—
573C22×C4—31no—
574C22×C4—31no—
575C22×C4—61no—
576C22×C4—181no—
577C22×C4—181no—
578C22×C4—181no—
579C22×C4C2×D3211yescharacteristic
580Q16—182no—
581SD16—182no—
582SD16—182no—
583D8—182no—
584C2×C8—31no—
585C2×C8—31no—
586C2×C8—91no—
587C2×C8—91no—
588C4⋊C4—21no—
589C4⋊C4—31no—
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4—61no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4C2×D3211yescharacteristic
598C22⋊C4—21no—
599C22⋊C4—61no—
600C22⋊C4—61no—
601C22⋊C4—61no—
602C22⋊C4—61no—
603C22⋊C4—61no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C42—31no—
607C42—31no—
608C42—31no—
609C42—31no—
610C42—61no—
611C42—61no—
612C42—181no—
613C42—181no—
614C22×C3—21no—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—21no—
618C22×C3—21no—
619C22×C3—21no—
620C22×C3—21no—
621C22×C3—41no—
622C22×C3—41no—
623C22×C3—41no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3—121no—
627C22×C3C2×D3×D411yescharacteristic
628C22×C3C22×#6711yescharacteristic
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—62no—
633C2×D3—62no—
634C2×D3—122no—
635C2×D3—121no—
636C2×D3—121no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—241no—
640C2×D3—241no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—32no—
646C3×C4—41no—
647C3×C4—41no—
648C3×C4—41no—
649C3×C4—41no—
650C3×C4—41no—
651C3×C4—61no—
652C3×C4—61no—
653C3×C4—61no—
654C3×C4—81no—
655C3×C4—81no—
656C3×C4—121no—
657C3×C4—121no—
658C3×C4—121no—
659C3×C4D3×#4111yescharacteristic
660C3×C4D3×#4111yescharacteristic
661C3×C4D3×#4111yescharacteristic
662C3×C4D3×#4111yescharacteristic
663Dic3—21no—
664Dic3—21no—
665Dic3—21no—
666Dic3—41no—
667Dic3—41no—
668Dic3—41no—
669Dic3—62no—
670Dic3—62no—
671Dic3—122no—
672Dic3#95012yes—
673C32#310211yescharacteristic, complemented, Sylow
674C23—61no—
675C23—181no—
676C23D3×#6711yescharacteristic
677Q8—21no—
678Q8—21no—
679Q8—92no—
680Q8—181no—
681D4—61no—
682D4—61no—
683D4—92no—
684D4—122no—
685D4—184no—
686D4—181no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—31no—
692C2×C4—31no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—62no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—122no—
700C2×C4—121no—
701C2×C4—184no—
702C2×C4—181no—
703C2×C4—362no—
704C2×C4—362no—
705C2×C4D3×#6711yescharacteristic
706C2×C4C22×D3211yescharacteristic
707C8—61no—
708C8—61no—
709C8—181no—
710C8—181no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—41no—
715C2×C3—41no—
716C2×C3—81no—
717C2×C3—241no—
718C2×C3#565611yescharacteristic
719C2×C3D3×#13511yescharacteristic
720C2×C3#577711yescharacteristic
721C2×C3C2×#95011yescharacteristic
722C2×C3#582211yescharacteristic
723C2×C3#582811yescharacteristic
724D3—81no—
725D3—122no—
726D3—122no—
727D3—242no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—121no—
732C22—121no—
733C22—121no—
734C22—182no—
735C22—361no—
736C22—361no—
737C22C2×D3×#6711yescharacteristic
738C4—21no—
739C4—32no—
740C4—41no—
741C4—41no—
742C4—61no—
743C4—61no—
744C4—61no—
745C4—121no—
746C4—121no—
747C4—121no—
748C4—182no—
749C4#6431211yescharacteristic
750C4#6431211yescharacteristic
751C3—21no—
752C3#8149211yescharacteristic, complemented
753C3#8314011yescharacteristic, complemented
754C2—41no—
755C2—241no—
756C2—362no—
757C2#1059515911yescharacteristic
758C2#1059531711yescharacteristic
759C2D3×#95011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊Q8C22
socleC22×C32C22×D4
prime radical#10591182C2
hypercenterC22⋊Q8D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5624C2semidirect
2. #10594954C2semidirect
3. #10592746C2semidirect
4. C3×#5045C2semidirect
5. #10591577C2semidirect
6. #10591568C2semidirect
7. #10591537C2semidirect
8. #10591536C2semidirect
10. #10591090C2semidirect
11. #10591053C2semidirect
12. #10590492C2semidirect
13. #10590479C2semidirect
14. #10590470C2semidirect
15. #10590456C2semidirect
62. #5624D3semidirect
73. #5045D3semidirect
673. C32#3102semidirect
752. C3#81492semidirect
753. C3#83140semidirect

Maximal subgroups

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

subgroupindex
C3×#56242
#105949542
#105927462
C3×#50452
#105915772
#105915682
#105915372
#105915362
#105911822
#105910902
#105910532
#105904922
#105904792
#105904702
#105904562
#831403
#814923