Finite Group Databasebeta

← #11872350

Subgroups — #11872350

Order 1152.

843 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593949C211yesmaximal, characteristic, complemented
2#10593890C211yesmaximal, characteristic, complemented
3#10592546C211yesmaximal, characteristic, complemented
4C3×#4848C211yesmaximal, characteristic, complemented
5C3×#4840C211yesmaximal, characteristic, complemented
6#10590823C211yesmaximal, characteristic, complemented
7#10590823C211yesmaximal, characteristic, complemented
8#10590766C211yesmaximal, characteristic, complemented
9Dic3×#204C211yesmaximal, characteristic, complemented
10#10590746C211yesmaximal, characteristic, complemented
11#10590745C211yesmaximal, characteristic, complemented
12#10590680C211yesmaximal, characteristic, complemented
13#10590676C211yesmaximal, characteristic, complemented
14#10590355C211yesmaximal, characteristic, complemented
15#10590302C211yesmaximal, characteristic, complemented
16#80364—31nomaximal
17#79384—31nomaximal
18C2×#3799C2211yescharacteristic
19C4×C4⋊(C3⋊D3)C2211yescharacteristic
20#64079C2211yescharacteristic
21C2×C3×#204C2211yescharacteristic
22C2×C3×#204C2211yescharacteristic
23C3×#874C2211yescharacteristic
24C3×#872C2211yescharacteristic
25C3×C4×Dic6C2211yescharacteristic
26#63908C2211yescharacteristic
27#63908C2211yescharacteristic
28#63894C2211yescharacteristic
29Dic3×D12C2211yescharacteristic
30Dic3×D12C2211yescharacteristic
31D3×C4⋊Dic3C2211yescharacteristic
32#63885—21no—
33#63885—21no—
34#63884—21no—
35#63884—21no—
36#63883—21no—
37#63881—21no—
38#63880—21no—
39Dic3×Dic6C2211yescharacteristic
40#63836—21no—
41C2×#3714C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43C32×C4⋊C8C2211yescharacteristic
44#63648C2211yescharacteristic
45#63648C2211yescharacteristic
46#63645C2211yescharacteristic
47#63644C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×(C2×D3)⋊C8C2211yescharacteristic
52C3×#815C2211yescharacteristic
53C3×C8×Dic3C2211yescharacteristic
54C3×C4⋊(C3⋊C8)C2211yescharacteristic
55#63575C2211yescharacteristic
56#63573C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63563C2211yescharacteristic
60#63563C2211yescharacteristic
61#5719—31no—
62#5574—31no—
63#5535—31no—
64#5523—31no—
65C3×#460—31no—
66C3×#433—31no—
67#5172—31no—
68#5172—31no—
69#5164—31no—
70Dic3×SD16—31no—
71#5072—31no—
72#5022—31no—
73#4848D311yescharacteristic, complemented
74#4847—31no—
75#4847—31no—
76#4847—61no—
77#4843—31no—
78#4840D311yescharacteristic, complemented
79#4829—31no—
80#4785—31no—
81#4777—31no—
82#4774—31no—
83#4756—31no—
84#4736—31no—
85#4735—31no—
86#4734—31no—
87#4734—31no—
88#4711—31no—
89#4710—31no—
90C4×D24—31no—
91C4×#204—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×C3×D12—21no—
95C2×C3×D12—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#626—21no—
101C2×#625—21no—
102C2×#625—21no—
103C2×#624—21no—
104C2×#624—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108#3799—22no—
109#3799—22no—
110C2×C32×C8C2311yescharacteristic
111C2×C32×C8C2311yescharacteristic
112C32×C42C2311yescharacteristic
113#3752—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116C4⋊(C3⋊Dic3)C2311yescharacteristic
117#3750—21no—
118#3750—21no—
119C3×(C2×D3)⋊C4D411yescharacteristic
120C3×(C2×D3)⋊C4D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4D411yescharacteristic
124C3×Dic3⋊C4D411yescharacteristic
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×#204—22no—
130C3×#204—22no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3714—22no—
140#3714—22no—
141#3119—91noSylow
142C2×#239—31no—
143C2×#235—31no—
144C2×C3×SD16—31no—
145C2×C3×SD16—31no—
146C3×#127—31no—
147C3×C4×Q8—31no—
148C3×#117—31no—
149Q8×Dic3—31no—
150#939—61no—
151#939—61no—
152#938—31no—
153#938—31no—
154#935—61no—
155#935—61no—
156D4×Dic3—31no—
157D4×Dic3—31no—
158C2×#213—31no—
159C2×#213—31no—
160#930—31no—
161#930—31no—
162C2×C4⋊Dic3—31no—
163C2×D24—31no—
164C2×D24—31no—
165C2×#204C2×D311yescharacteristic
166C2×#204C2×D311yescharacteristic
167#894—61no—
168#894—61no—
169#893—31no—
170#893—61no—
171#892—61no—
172D3×C4⋊C4—31no—
173D3×C4⋊C4—61no—
174D3×C4⋊C4—61no—
175#884—61no—
176#884—61no—
177#67⋊C4—61no—
178#67⋊C4—61no—
179#874C2×D311yescharacteristic
180C4×D12—31no—
181C4×D12—31no—
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—31no—
185C4×D12—61no—
186C4×D12—61no—
187#872—61no—
188#872C2×D311yescharacteristic
189#870—31no—
190#870—31no—
191#870—61no—
192C4×Dic6—31no—
193C4×Dic6C2×D311yescharacteristic
194C3×C4⋊C8—21no—
195C3×C4⋊C8—31no—
196C3×C4⋊C8C2×D311yescharacteristic
197C3×C4⋊C8C2×D311yescharacteristic
198C3×#102—31no—
199C3×#102—31no—
200C3×C22⋊C8—31no—
201C3×C22⋊C8—31no—
202C3×#97—31no—
203C3×C4×C8—31no—
204#835—31no—
205#835—31no—
206#832—31no—
207#832—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—61no—
215#821—61no—
216#821C2×D311yescharacteristic
217#821C2×D311yescharacteristic
218(C2×D3)⋊C8C2×D311yescharacteristic
219(C2×D3)⋊C8C2×D311yescharacteristic
220#818—31no—
221#818—31no—
222#818—31no—
223#818—61no—
224#817—31no—
225#817—31no—
226#817—31no—
227#817—61no—
228#816—31no—
229#816—31no—
230#815C2×D311yescharacteristic
231C8×Dic3C2×D311yescharacteristic
232#808—31no—
233#807—31no—
234C4⋊(C3⋊C8)C2×D311yescharacteristic
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)#4112yes—
247C4×C3⋊D3—81no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C3×D12—21no—
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—81no—
258C3×D12—81no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×Dic6—21no—
262C3×Dic6#4112yes—
263#626—24no—
264#625—81no—
265#625—81no—
266#624—24no—
267#624—81no—
268D3×Dic3—81no—
269D3×Dic3—81no—
270D3×Dic3—81no—
271C32×C8—21no—
272C32×C8—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#540—91no—
276#520—91no—
277#481—91no—
278#480—91no—
279#479—91no—
280#478—91no—
281#460—31no—
282#459—91no—
283#449—91no—
284#449—91no—
285#442—91no—
286#440—91no—
287C4×SD16—91no—
288C4×D8—91no—
289#433—31no—
290C2×C3×Q8—31no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4—61no—
295C22×C3×C4—31no—
296C2×#67—61no—
297C2×#67—61no—
298C2×#67—61no—
299C2×#67—61no—
300C2×#67—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303C22×Dic3—61no—
304#239—62no—
305#239—62no—
306#235—62no—
307#235—62no—
308C2×D12—21no—
309C2×D12—21no—
310C2×D12—31no—
311C2×D12—31no—
312C2×D12—61no—
313C2×D12—61no—
314C2×D12C22×D311yescharacteristic
315C2×D12C22×D311yescharacteristic
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—121no—
326C2×C4×D3C22×D311yescharacteristic
327C2×Dic6C22×D311yescharacteristic
328C3×SD16—62no—
329C3×SD16—62no—
330C2×C3×C8—21no—
331C2×C3×C8—21no—
332C2×C3×C8—31no—
333C2×C3×C8—31no—
334C2×C3×C8C22×D311yescharacteristic
335C2×C3×C8C22×D311yescharacteristic
336C2×C3×C8C22×D311yescharacteristic
337C2×C3×C8C22×D311yescharacteristic
338C3×C4⋊C4—31no—
339C3×C4⋊C4—31no—
340C3×C4⋊C4—31no—
341C3×C4⋊C4—61no—
342C3×C22⋊C4—31no—
343C3×C22⋊C4—31no—
344C3×C42—21no—
345C3×C42—31no—
346C3×C42—61no—
347C3×C42C22×D311yescharacteristic
348C3×C42C22×D311yescharacteristic
349#217—61no—
350#217—61no—
351#217—61no—
352#217—61no—
353#213—62no—
354#213—62no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—121no—
364(C2×D3)⋊C4D1211yescharacteristic
365(C2×D3)⋊C4D1211yescharacteristic
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—31no—
370C4⋊Dic3—31no—
371C4⋊Dic3—31no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3C22×D311yescharacteristic
378Dic3⋊C4—21no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—121no—
386Dic3⋊C4—121no—
387Dic3⋊C4D1211yescharacteristic
388Dic3⋊C4D1211yescharacteristic
389C4×Dic3—21no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395D24—62no—
396D24—62no—
397#204—22no—
398#204—22no—
399C22×C32C22×D411yescharacteristic
400C2×C3⋊D3—22no—
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3×D3—21no—
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C32×C4—21no—
413C32×C4—21no—
414C32×C4C2×#4111yescharacteristic
415C32×C4C2×#4111yescharacteristic
416C3⋊Dic3—41no—
417C3⋊Dic3—41no—
418C3⋊Dic3—41no—
419C3×Dic3—21no—
420C3×Dic3—22no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C2×#41—91no—
425C2×SD16—31no—
426C2×SD16—31no—
427C2×D8—91no—
428C2×D8—91no—
429#127—31no—
430#125—91no—
431#123—181no—
432#123—181no—
433#121—91no—
434#121—91no—
435#121—181no—
436#121—181no—
437C4×Q8—31no—
438C4×Q8—91no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—181no—
444C4×D4—181no—
445#117—31no—
446#117—181no—
447C2×C4⋊C4—91no—
448C2×C4⋊C4—181no—
449#107—91no—
450#107—91no—
451#106—91no—
452#106—91no—
453C4⋊C8—31no—
454C4⋊C8D3211yescharacteristic
455#103—91no—
456#103—91no—
457#102—31no—
458#102—31no—
459#102—91no—
460#102—91no—
461#102—91no—
462#102—91no—
463C22⋊C8—31no—
464C22⋊C8—31no—
465#97—31no—
466C4×C8—31no—
467C23×C3—31no—
468C23×C3—61no—
469C23×C3—61no—
470C22×D3—21no—
471C22×D3—21no—
472C22×D3—61no—
473C22×D3—61no—
474C22×D3—121no—
475C22×D3C2×D1211yescharacteristic
476C3×Q8—32no—
477C3×Q8—61no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—61no—
481C3×D4—61no—
482C3×D4—241no—
483C3×D4—241no—
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—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4C2×D1211yescharacteristic
495C2×C3×C4C2×D1211yescharacteristic
496C2×C3×C4D3×D411yescharacteristic
497C2×C3×C4D3×D411yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500#67—64no—
501#67—241no—
502#67—241no—
503#67—241no—
504#67—241no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—121no—
514C2×Dic3—121no—
515C2×Dic3—121no—
516C2×Dic3—241no—
517C2×Dic3—241no—
518C2×Dic3—241no—
519C2×Dic3C2×D1211yescharacteristic
520C2×Dic3C2×D1211yescharacteristic
521C2×Dic3C2×D1211yescharacteristic
522D12—21no—
523D12—21no—
524D12—21no—
525D12—21no—
526D12—32no—
527D12—32no—
528D12—62no—
529D12—64no—
530D12—61no—
531D12—61no—
532D12—81no—
533D12—81no—
534D12—121no—
535C4×D3—21no—
536C4×D3—21no—
537C4×D3—64no—
538C4×D3—64no—
539C4×D3—241no—
540C4×D3—241no—
541C4×D3—241no—
542C4×D3—241no—
543C4×D3—241no—
544C4×D3—241no—
545C4×D3—241no—
546C4×D3—242no—
547Dic6—21no—
548Dic6#23712yes—
549C3×C8—21no—
550C3×C8—21no—
551C3×C8—21no—
552C3×C8—21no—
553C3×C8—41no—
554C3×C8—41no—
555C3×C8—61no—
556C3×C8—61no—
557C3⋊C8—21no—
558C3⋊C8—21no—
559C2×C32#52511yescharacteristic
560C2×C32#57611yescharacteristic
561C2×C32#57711yescharacteristic
562C3⋊D3—42no—
563C3×D3—41no—
564C3×D3—81no—
565C3×D3—81no—
566#41—182no—
567#41—182no—
568C2×Q8—31no—
569C2×D4—31no—
570C2×D4—31no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4—91no—
574C2×D4—181no—
575C2×D4—181no—
576C2×D4—181no—
577C22×C4—31no—
578C22×C4—181no—
579C22×C4—181no—
580C22×C4—181no—
581C22×C4—181no—
582C22×C4—181no—
583C22×C4—181no—
584SD16—62no—
585SD16—62no—
586D8—182no—
587D8—182no—
588C2×C8—31no—
589C2×C8—31no—
590C2×C8C2×D3211yescharacteristic
591C2×C8C2×D3211yescharacteristic
592C4⋊C4—31no—
593C4⋊C4—31no—
594C4⋊C4—31no—
595C4⋊C4—61no—
596C4⋊C4—91no—
597C4⋊C4—91no—
598C4⋊C4—91no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C22⋊C4—31no—
604C22⋊C4—31no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C42—31no—
612C42—61no—
613C42—181no—
614C42C2×D3211yescharacteristic
615C22×C3—21no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3—61no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3C22×D1211yescharacteristic
626C22×C3C2×D3×D411yescharacteristic
627C2×D3—21no—
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—41no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—62no—
637C2×D3—62no—
638C2×D3—122no—
639C2×D3—121no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3—121no—
643C2×D3—241no—
644C2×D3—241no—
645C3×C4—21no—
646C3×C4—21no—
647C3×C4—21no—
648C3×C4—21no—
649C3×C4—21no—
650C3×C4—21no—
651C3×C4—41no—
652C3×C4—41no—
653C3×C4—61no—
654C3×C4—61no—
655C3×C4—62no—
656C3×C4—61no—
657C3×C4—121no—
658C3×C4C2×#23711yescharacteristic
659C3×C4D3×#4111yescharacteristic
660C3×C4D3×#4111yescharacteristic
661C3×C4D3×#4111yescharacteristic
662Dic3—21no—
663Dic3—21no—
664Dic3—21no—
665Dic3—22no—
666Dic3—41no—
667Dic3—121no—
668Dic3—121no—
669Dic3—121no—
670Dic3—121no—
671Dic3—121no—
672Dic3—121no—
673Dic3—241no—
674Dic3—241no—
675Dic3—241no—
676C32#311911yescharacteristic, complemented, Sylow
677C23—31no—
678C23—61no—
679C23—61no—
680C23—181no—
681Q8—32no—
682Q8—61no—
683D4—61no—
684D4—61no—
685D4—61no—
686D4—61no—
687D4—92no—
688D4—184no—
689D4—181no—
690D4—241no—
691D4—241no—
692D4—721no—
693D4—721no—
694C2×C4—31no—
695C2×C4—31no—
696C2×C4—31no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—61no—
700C2×C4—61no—
701C2×C4—184no—
702C2×C4—181no—
703C2×C4—181no—
704C2×C4—181no—
705C2×C4—721no—
706C2×C4—721no—
707C2×C4—721no—
708C2×C4—721no—
709C2×C4—721no—
710C2×C4D3×D1211yescharacteristic
711C2×C4D3×D1211yescharacteristic
712C2×C4C22×D3211yescharacteristic
713C8—21no—
714C8—21no—
715C8—61no—
716C8—61no—
717C2×C3—21no—
718C2×C3—21no—
719C2×C3—21no—
720C2×C3—121no—
721C2×C3—241no—
722C2×C3—241no—
723C2×C3#552411yescharacteristic
724C2×C3#560611yescharacteristic
725C2×C3#575111yescharacteristic
726C2×C3#575211yescharacteristic
727C2×C3#576211yescharacteristic
728C2×C3#577411yescharacteristic
729D3—41no—
730D3—81no—
731D3—81no—
732D3—122no—
733D3—122no—
734D3—242no—
735C22—61no—
736C22—61no—
737C22—61no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22—121no—
744C22—182no—
745C22—361no—
746C22—361no—
747C22C2×D3×D1211yescharacteristic
748C4—21no—
749C4—21no—
750C4—61no—
751C4—62no—
752C4—61no—
753C4—61no—
754C4—121no—
755C4—361no—
756C4—361no—
757C4—361no—
758C4D3×#23711yescharacteristic
759C4#6431911yescharacteristic
760C3—21no—
761C3#7938411yescharacteristic, complemented
762C3#8036411yescharacteristic, complemented
763C2—121no—
764C2—241no—
765C2—241no—
766C2—362no—
767C2#1059462611yescharacteristic
768C2#1059467711yescharacteristic
769C2#1059471411yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
hypercenterC4⋊C8D32
hypocenterC32#3119
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. #10593949C2semidirect
2. #10593890C2semidirect
3. #10592546C2semidirect
4. C3×#4848C2semidirect
5. C3×#4840C2semidirect
6. #10590823C2semidirect
7. #10590823C2semidirect
8. #10590766C2semidirect
9. Dic3×#204C2semidirect
10. #10590746C2semidirect
11. #10590745C2semidirect
12. #10590680C2semidirect
13. #10590676C2semidirect
14. #10590355C2semidirect
15. #10590302C2semidirect
73. #4848D3semidirect
78. #4840D3semidirect
676. C32#3119semidirect
761. C3#79384semidirect
762. C3#80364semidirect

Maximal subgroups

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

subgroupindex
#105939492
#105938902
#105925462
C3×#48482
C3×#48402
#105908232
#105907662
Dic3×#2042
#105907462
#105907452
#105906802
#105906762
#105903552
#105903022
#803643
#793843