Finite Group Databasebeta

← #11872328

Subgroups — #11872328

Order 1152.

852 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593986C211yesmaximal, characteristic, complemented
2#10593887C211yesmaximal, characteristic, complemented
3#10592409C211yesmaximal, characteristic, complemented
4C3×#4711C211yesmaximal, characteristic, complemented
5C3×#4709C211yesmaximal, characteristic, complemented
6#10590968C211yesmaximal, characteristic, complemented
7#10590962C211yesmaximal, characteristic, complemented
8#10590879C211yesmaximal, characteristic, complemented
9#10590809C211yesmaximal, characteristic, complemented
10#10590767C211yesmaximal, characteristic, complemented
11#10590753C211yesmaximal, characteristic, complemented
12#10590680C211yesmaximal, characteristic, complemented
13#10590677C211yesmaximal, characteristic, complemented
14C4×#3716C211yesmaximal, characteristic, complemented
15C4×#3714C211yesmaximal, characteristic, complemented
16#79873—31nomaximal
17#79384—31nomaximal
18C2×#3795C2211yescharacteristic
19C2×#3744C2211yescharacteristic
20C4×C4⋊(C3⋊D3)C2211yescharacteristic
21C4×#634C2211yescharacteristic
22C2×C3×D24C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×C4×D12C2211yescharacteristic
25C3×#872C2211yescharacteristic
26#63912—21no—
27#63911C2211yescharacteristic
28#63909C2211yescharacteristic
29#63908C2211yescharacteristic
30#63906—21no—
31#63902—21no—
32Dic3×D12C2211yescharacteristic
33D3×C4⋊Dic3C2211yescharacteristic
34#63879—21no—
35#63878—21no—
36D3×Dic3⋊C4—21no—
37#63869C2211yescharacteristic
38#63853—21no—
39#63850—21no—
40#63844C2211yescharacteristic
41C2×#3716C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43C32×#97C2211yescharacteristic
44#63648C2211yescharacteristic
45#63645C2211yescharacteristic
46#63643C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#817C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53C3×Dic3⋊C8C2211yescharacteristic
54C3×C4×C3⋊C8C2211yescharacteristic
55#63575C2211yescharacteristic
56#63573C2211yescharacteristic
57#63567C2211yescharacteristic
58#63564C2211yescharacteristic
59#63563C2211yescharacteristic
60#63563C2211yescharacteristic
61#5562—31no—
62#5546—31no—
63#5535—31no—
64#5523—31no—
65C3×#442—31no—
66C3×#433—31no—
67#5158—31no—
68#5150—31no—
69C4×#214—31no—
70C4×#213—31no—
71#4863—31no—
72#4857—31no—
73#4848—31no—
74#4847—31no—
75#4843—31no—
76#4829—31no—
77#4781—31no—
78#4774—31no—
79#4766—31no—
80#4762—31no—
81#4736—31no—
82#4735—31no—
83#4734—31no—
84#4734—31no—
85#4711D311yescharacteristic, complemented
86#4710—31no—
87#4710—31no—
88#4710—61no—
89#4709D311yescharacteristic, complemented
90C4×D24—31no—
91C4×#204—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×#634C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3C2311yescharacteristic
100C2×#626—21no—
101C2×#626—21no—
102C2×#626—21no—
103C2×#625—21no—
104C2×#625—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108#3795—22no—
109#3795—22no—
110C2×C32×C8C2311yescharacteristic
111C2×C32×C8C2311yescharacteristic
112C32×C42C2311yescharacteristic
113#3752—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116#3750—21no—
117C4×C3⋊Dic3—21no—
118#3744—22no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4D411yescharacteristic
122C3×(C2×D3)⋊C4D411yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4D411yescharacteristic
126C3×Dic3⋊C4D411yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C3×D24—22no—
131#3724—21no—
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135#3722—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3716—22no—
140#3714—22no—
141#3119—91noSylow
142C2×#237—31no—
143C2×#235—31no—
144C2×C3×D8—31no—
145C3×C4×D4—31no—
146C3×C4×D4—31no—
147C3×#117—31no—
148#940—31no—
149#938—31no—
150D4×Dic3—31no—
151C2×#214—31no—
152C2×#213—31no—
153#930—31no—
154#930—31no—
155#930—61no—
156#929—61no—
157C4×#67—61no—
158C2×C4⋊Dic3—31no—
159C2×Dic3⋊C4—61no—
160C2×D24—31no—
161C2×D24C2×D311yescharacteristic
162C2×#204—31no—
163C2×#204—31no—
164C2×#204—31no—
165C2×#204—61no—
166#895—31no—
167#894—61no—
168#894—61no—
169#892—61no—
170D3×C4⋊C4—31no—
171D3×C4⋊C4—61no—
172#890—31no—
173#887—31no—
174#884—61no—
175#884—61no—
176#884—61no—
177#883—61no—
178#67⋊C4—61no—
179#67⋊C4—61no—
180#67⋊C4—61no—
181#877—61no—
182#874—31no—
183C4×D12—31no—
184C4×D12—31no—
185C4×D12—31no—
186C4×D12—61no—
187C4×D12C2×D311yescharacteristic
188C4×D12C2×D311yescharacteristic
189#872C2×D311yescharacteristic
190#870—31no—
191C4×Dic6—31no—
192C4×Dic6—31no—
193C4×Dic6—31no—
194C4×Dic6—61no—
195C3×#106—31no—
196C3×C4⋊C8—31no—
197C3×C4⋊C8—31no—
198C3×#102—31no—
199C3×#102—31no—
200C3×C22⋊C8—31no—
201C3×C22⋊C8—31no—
202C3×#97—21no—
203C3×#97C2×D311yescharacteristic
204C3×#97C2×D311yescharacteristic
205C3×C4×C8—31no—
206#832—31no—
207#832—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—61no—
214#821C2×D311yescharacteristic
215#821C2×D311yescharacteristic
216(C2×D3)⋊C8C2×D311yescharacteristic
217(C2×D3)⋊C8C2×D311yescharacteristic
218#818—31no—
219#818—31no—
220#818—31no—
221#818—61no—
222#817—31no—
223#817C2×D311yescharacteristic
224#816—31no—
225#816—31no—
226#816—31no—
227#816—61no—
228Dic3⋊C8C2×D311yescharacteristic
229Dic3⋊C8C2×D311yescharacteristic
230#810—31no—
231#809—31no—
232#808—31no—
233#807—31no—
234C4×C3⋊C8C2×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)—21no—
247C4×C3⋊D3—81no—
248#634—21no—
249#634#4112yes—
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—21no—
258C3×D12#4112yes—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—81no—
262C3×C4×D3—81no—
263#626—81no—
264#626—81no—
265#626—81no—
266#625—24no—
267#625—81no—
268D3×Dic3—24no—
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—91no—
282#459—91no—
283#449—91no—
284#449—91no—
285#442—31no—
286#440—91no—
287C4×SD16—91no—
288C4×D8—91no—
289#433—31no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C22×C3×C4—31no—
293C22×C3×C4—61no—
294C22×C3×C4—61no—
295C2×#67—61no—
296C2×#67—61no—
297C2×#67—61no—
298C2×#67—61no—
299C2×#67—61no—
300C2×#67—61no—
301C2×#67—61no—
302C22×Dic3—61no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305#237—62no—
306#237—62no—
307#235—62no—
308#235—62no—
309C2×D12—31no—
310C2×D12—31no—
311C2×D12—61no—
312C2×D12—61no—
313C2×D12—61no—
314C2×D12—61no—
315C2×D12C22×D311yescharacteristic
316C2×D12C22×D311yescharacteristic
317C2×C4×D3—21no—
318C2×C4×D3—21no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—121no—
325C2×C4×D3C22×D311yescharacteristic
326C2×Dic6—31no—
327C2×Dic6—31no—
328C2×Dic6—61no—
329C3×D8—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—31no—
342C3×C22⋊C4—31no—
343C3×C22⋊C4—31no—
344C3×C22⋊C4—61no—
345C3×C22⋊C4—61no—
346C3×C42—21no—
347C3×C42—31no—
348C3×C42C22×D311yescharacteristic
349C3×C42C22×D311yescharacteristic
350#217—61no—
351#217—61no—
352#214—62no—
353#213—62no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—21no—
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—121no—
363(C2×D3)⋊C4D1211yescharacteristic
364(C2×D3)⋊C4D1211yescharacteristic
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—121no—
384Dic3⋊C4D1211yescharacteristic
385Dic3⋊C4D1211yescharacteristic
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—121no—
391C4×Dic3C22×D311yescharacteristic
392C2×C3⋊C8C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394D24—22no—
395D24—62no—
396#204—62no—
397#204—62no—
398#204—64no—
399#204—62no—
400C22×C32C22×D411yescharacteristic
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3⋊D3—41no—
404C2×C3×D3—22no—
405C2×C3×D3—21no—
406C2×C3×D3—21no—
407C2×C3×D3—21no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C2×C3×D3—41no—
413C32×C4—21no—
414C32×C4—21no—
415C32×C4C2×#4111yescharacteristic
416C32×C4C2×#4111yescharacteristic
417C3⋊Dic3—22no—
418C3⋊Dic3—41no—
419C3⋊Dic3—41no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C2×#41—91no—
426C2×SD16—91no—
427C2×SD16—91no—
428C2×D8—31no—
429C2×D8—91no—
430#127—91no—
431#125—91no—
432#123—181no—
433#123—181no—
434#121—91no—
435#121—91no—
436#121—181no—
437#121—181no—
438C4×Q8—91no—
439C4×Q8—91no—
440C4×D4—31no—
441C4×D4—31no—
442C4×D4—91no—
443C4×D4—91no—
444C4×D4—181no—
445C4×D4—181no—
446#117—31no—
447#117—181no—
448C2×C4⋊C4—91no—
449C2×C4⋊C4—181no—
450#107—91no—
451#107—91no—
452#106—31no—
453#106—91no—
454C4⋊C8—31no—
455C4⋊C8—31no—
456#103—91no—
457#103—91no—
458#102—31no—
459#102—31no—
460#102—91no—
461#102—91no—
462#102—91no—
463#102—91no—
464C22⋊C8—31no—
465C22⋊C8—31no—
466#97D3211yescharacteristic
467C4×C8—31no—
468C23×C3—31no—
469C23×C3—61no—
470C23×C3—61no—
471C22×D3—21no—
472C22×D3—21no—
473C22×D3—61no—
474C22×D3—61no—
475C22×D3—121no—
476C22×D3C2×D1211yescharacteristic
477C3×D4—32no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—61no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—241no—
492C2×C3×C4—241no—
493C2×C3×C4C2×D1211yescharacteristic
494C2×C3×C4C2×D1211yescharacteristic
495C2×C3×C4D3×D411yescharacteristic
496C2×C3×C4D3×D411yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—64no—
500#67—64no—
501#67—241no—
502#67—241no—
503#67—241no—
504#67—241no—
505#67—241no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—64no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—121no—
516C2×Dic3—121no—
517C2×Dic3—121no—
518C2×Dic3—241no—
519C2×Dic3—241no—
520C2×Dic3C2×D1211yescharacteristic
521C2×Dic3C2×D1211yescharacteristic
522C2×Dic3C2×D1211yescharacteristic
523D12—21no—
524D12—21no—
525D12—21no—
526D12—62no—
527D12—61no—
528D12—61no—
529D12—61no—
530D12—61no—
531D12—121no—
532D12—241no—
533D12—241no—
534D12—241no—
535D12#23512yes—
536C4×D3—21no—
537C4×D3—21no—
538C4×D3—64no—
539C4×D3—81no—
540C4×D3—81no—
541C4×D3—241no—
542C4×D3—241no—
543C4×D3—241no—
544C4×D3—241no—
545C4×D3—242no—
546Dic6—32no—
547Dic6—32no—
548Dic6—62no—
549Dic6—61no—
550Dic6—61no—
551Dic6—121no—
552C3×C8—22no—
553C3×C8—21no—
554C3×C8—21no—
555C3×C8—21no—
556C3×C8—21no—
557C3×C8—41no—
558C3×C8—61no—
559C3×C8—61no—
560C3⋊C8—21no—
561C3⋊C8—21no—
562C2×C32#52511yescharacteristic
563C2×C32#57611yescharacteristic
564C2×C32#57711yescharacteristic
565C3⋊D3—81no—
566C3×D3—41no—
567C3×D3—42no—
568C3×D3—81no—
569#41—182no—
570#41—182no—
571C2×Q8—91no—
572C2×D4—31no—
573C2×D4—31no—
574C2×D4—91no—
575C2×D4—181no—
576C2×D4—181no—
577C2×D4—181no—
578C2×D4—181no—
579C2×D4—181no—
580C22×C4—31no—
581C22×C4—61no—
582C22×C4—61no—
583C22×C4—181no—
584C22×C4—181no—
585C22×C4—181no—
586C22×C4—181no—
587SD16—182no—
588SD16—182no—
589D8—62no—
590D8—182no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8C2×D3211yescharacteristic
594C2×C8C2×D3211yescharacteristic
595C4⋊C4—31no—
596C4⋊C4—31no—
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—91no—
600C4⋊C4—91no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C22⋊C4—31no—
607C22⋊C4—31no—
608C22⋊C4—61no—
609C22⋊C4—61no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C42—31no—
615C42—181no—
616C42—181no—
617C42C2×D3211yescharacteristic
618C22×C3—21no—
619C22×C3—61no—
620C22×C3—61no—
621C22×C3—62no—
622C22×C3—61no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3—121no—
627C22×C3—121no—
628C22×C3C22×D1211yescharacteristic
629C22×C3C2×D3×D411yescharacteristic
630C2×D3—21no—
631C2×D3—21no—
632C2×D3—21no—
633C2×D3—22no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—122no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3—121no—
643C2×D3—121no—
644C2×D3—121no—
645C2×D3—121no—
646C2×D3—241no—
647C2×D3—241no—
648C3×C4—21no—
649C3×C4—21no—
650C3×C4—21no—
651C3×C4—21no—
652C3×C4—21no—
653C3×C4—21no—
654C3×C4—41no—
655C3×C4—41no—
656C3×C4—61no—
657C3×C4—61no—
658C3×C4—61no—
659C3×C4—121no—
660C3×C4—121no—
661C3×C4C2×#23511yescharacteristic
662C3×C4D3×#4111yescharacteristic
663C3×C4D3×#4111yescharacteristic
664C3×C4D3×#4111yescharacteristic
665Dic3—21no—
666Dic3—21no—
667Dic3—21no—
668Dic3—41no—
669Dic3—41no—
670Dic3—62no—
671Dic3—62no—
672Dic3—122no—
673Dic3—121no—
674Dic3—121no—
675Dic3—121no—
676Dic3—121no—
677Dic3—241no—
678Dic3—241no—
679C32#311911yescharacteristic, complemented, Sylow
680C23—31no—
681C23—61no—
682C23—61no—
683C23—181no—
684Q8—92no—
685Q8—181no—
686D4—32no—
687D4—61no—
688D4—61no—
689D4—61no—
690D4—184no—
691D4—181no—
692D4—181no—
693D4—721no—
694D4—721no—
695D4—721no—
696D4—721no—
697C2×C4—31no—
698C2×C4—31no—
699C2×C4—31no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—184no—
705C2×C4—181no—
706C2×C4—181no—
707C2×C4—181no—
708C2×C4—241no—
709C2×C4—241no—
710C2×C4—721no—
711C2×C4—721no—
712C2×C4—721no—
713C2×C4D3×D1211yescharacteristic
714C2×C4D3×D1211yescharacteristic
715C2×C4C22×D3211yescharacteristic
716C8—21no—
717C8—21no—
718C8—61no—
719C8—61no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—21no—
723C2×C3—121no—
724C2×C3—122no—
725C2×C3—241no—
726C2×C3#552411yescharacteristic
727C2×C3#554711yescharacteristic
728C2×C3#575111yescharacteristic
729C2×C3#575211yescharacteristic
730C2×C3#577411yescharacteristic
731C2×C3#577511yescharacteristic
732D3—42no—
733D3—41no—
734D3—81no—
735D3—242no—
736D3—241no—
737D3—241no—
738C22—61no—
739C22—61no—
740C22—61no—
741C22—62no—
742C22—121no—
743C22—121no—
744C22—121no—
745C22—121no—
746C22—121no—
747C22—361no—
748C22—361no—
749C22—361no—
750C22C2×D3×D1211yescharacteristic
751C4—21no—
752C4—21no—
753C4—61no—
754C4—61no—
755C4—61no—
756C4—121no—
757C4—121no—
758C4—182no—
759C4—361no—
760C4—361no—
761C4D3×#23511yescharacteristic
762C4#6430611yescharacteristic
763C3—21no—
764C3#7938411yescharacteristic, complemented
765C3#7987311yescharacteristic, complemented
766C2—121no—
767C2—122no—
768C2—241no—
769C2—721no—
770C2#1059399711yescharacteristic
771C2#1059471311yescharacteristic
772C2#1059471411yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#97C22
socleC22×C32C22×D4
hypercenter#97D32
hypocenterC32#3119
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #97

Complements

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

NH ≅ G/Ntype
1. #10593986C2semidirect
2. #10593887C2semidirect
3. #10592409C2semidirect
4. C3×#4711C2semidirect
5. C3×#4709C2semidirect
6. #10590968C2semidirect
7. #10590962C2semidirect
8. #10590879C2semidirect
9. #10590809C2semidirect
10. #10590767C2semidirect
11. #10590753C2semidirect
12. #10590680C2semidirect
13. #10590677C2semidirect
14. C4×#3716C2semidirect
15. C4×#3714C2semidirect
85. #4711D3semidirect
89. #4709D3semidirect
679. C32#3119semidirect
764. C3#79384semidirect
765. C3#79873semidirect

Maximal subgroups

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

subgroupindex
#105939862
#105938872
#105924092
C3×#47112
C3×#47092
#105909682
#105909622
#105908792
#105908092
#105907672
#105907532
#105906802
#105906772
C4×#37162
C4×#37142
#798733
#793843