Finite Group Databasebeta

← #11872813

Subgroups — #11872813

Order 1152.

836 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
1#10594982C211yesmaximal, characteristic
2#10594824C211yesmaximal, characteristic, complemented
3#10592422C211yesmaximal, characteristic, complemented
4C3×#4731C211yesmaximal, characteristic
5C3×#4720C211yesmaximal, characteristic, complemented
6#10591172C211yesmaximal, characteristic
7#10591127C211yesmaximal, characteristic, complemented
8#10590772C211yesmaximal, characteristic, complemented
9#10590767C211yesmaximal, characteristic, complemented
10#10590766C211yesmaximal, characteristic, complemented
11Dic3×#204C211yesmaximal, characteristic, complemented
12#10590752C211yesmaximal, characteristic, complemented
13#10590752C211yesmaximal, characteristic, complemented
14#10590747C211yesmaximal, characteristic, complemented
15#10590744C211yesmaximal, characteristic, complemented
16#80137—31nomaximal
17#79387—31nomaximal
18C22×C3×D12C2211yescharacteristic
19#64135C2211yescharacteristic
20#64133C2211yescharacteristic
21C3×#926C2211yescharacteristic
22C3×#924C2211yescharacteristic
23C2×C3×#204C2211yescharacteristic
24C2×C3×#204C2211yescharacteristic
25D3×#217—21no—
26D3×#217—21no—
27#63956—21no—
28#63956—21no—
29#63898—21no—
30#63898—21no—
31Dic3×D12C2211yescharacteristic
32Dic3×D12C2211yescharacteristic
33Dic3×D12C2211yescharacteristic
34Dic3×D12C2211yescharacteristic
35#63869C2211yescharacteristic, complemented
36#63866C2211yescharacteristic, complemented
37#63847—21no—
38#63846—21no—
39#63844C2211yescharacteristic, complemented
40Dic3×Dic6C2211yescharacteristic, complemented
41C2×#3716C2211yescharacteristic
42C2×#3716C2211yescharacteristic
43C32×C22⋊C8C2211yescharacteristic
44#63645C2211yescharacteristic, complemented
45#63644C2211yescharacteristic, complemented
46#63643C2211yescharacteristic, complemented
47#63643C2211yescharacteristic, complemented
48C3×#830C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×#815C2211yescharacteristic, complemented
52C3×Dic3⋊C8C2211yescharacteristic, complemented
53C3×Dic3⋊C8C2211yescharacteristic, complemented
54C3×C8×Dic3C2211yescharacteristic, complemented
55#63575C2211yescharacteristic, complemented
56#63573C2211yescharacteristic, complemented
57#63566C2211yescharacteristic, complemented
58#63566C2211yescharacteristic, complemented
59#63563C2211yescharacteristic
60#63563C2211yescharacteristic
61#5798—31no—
62#5625—31no—
63#5521—31no—
64#5518—31no—
65C3×#450—31no—
66C3×#433—31no—
67#5218—31no—
68#5164—31no—
69#5162—31no—
70#5162—31no—
71Dic3×SD16—31no—
72#5045—31no—
73#4847—31no—
74#4847—31no—
75#4841—31no—
76#4841—31no—
77#4766—31no—
78#4763—31no—
79#4758—31no—
80#4757—31no—
81#4731—31no—
82#4731D311yescharacteristic
83#4723—31no—
84#4723—31no—
85#4723—31no—
86#4723—61no—
87#4720D311yescharacteristic, complemented
88#4710—31no—
89#4710—31no—
90C4×#204—31no—
91C4×#204—31no—
92C23×C3×D3—21no—
93C22×C32×C4C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×D12—21no—
96C2×C3×D12—22no—
97C2×C3×D12—22no—
98C2×C3×D12C2311yescharacteristic
99C2×C3×D12C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105C2×C32×C8C2311yescharacteristic
106C2×C32×C8C2311yescharacteristic
107#3757—21no—
108#3757—21no—
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113C4×C3⋊Dic3—21no—
114C3×#217—21no—
115C3×#217D411yescharacteristic
116C3×#217D411yescharacteristic
117C3×C4⋊Dic3D411yescharacteristic
118C3×C4⋊Dic3D411yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×C4×Dic3C2311yescharacteristic
122C3×C4×Dic3C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C3×#204—22no—
126C3×#204—22no—
127#3724—21no—
128#3724—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
139#3716—22no—
140#3716—22no—
141#3123—91noSylow
142C22×C3×D4—31no—
143C22×D12C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×SD16—31no—
146C3×C22⋊Q8—31no—
147C3×#117—31no—
148C2×#217—61no—
149C2×#217—61no—
150Q8×Dic3—31no—
151#944—31no—
152D4×Dic3—31no—
153D4×Dic3—31no—
154D4×Dic3—31no—
155D4×Dic3—31no—
156D4×Dic3—61no—
157D4×Dic3—61no—
158C2×#214—31no—
159C2×#214—31no—
160#926—31no—
161#926—31no—
162#926—61no—
163#926C2×D311yescharacteristic
164#924—31no—
165#924—31no—
166#924—61no—
167#924C2×D311yescharacteristic
168C2×#204—31no—
169C2×#204—31no—
170C2×#204C2×D311yescharacteristic
171C2×#204C2×D311yescharacteristic
172#893—61no—
173#893—61no—
174#890—31no—
175#890—61no—
176#889—61no—
177#889—61no—
178#889—61no—
179#887—31no—
180D3×C22⋊C4—61no—
181D3×C22⋊C4—61no—
182#879—61no—
183#879—61no—
184#879—61no—
185#879—61no—
186C4×D12—31no—
187C4×D12—31no—
188C4×D12—31no—
189C4×D12—31no—
190#870—31no—
191#869—31no—
192C4×Dic6—31no—
193C4×Dic6—31no—
194C3×C4⋊C8—31no—
195C3×C4⋊C8—31no—
196C3×#102—31no—
197C3×#102—31no—
198C3×C22⋊C8—21no—
199C3×C22⋊C8—31no—
200C3×C22⋊C8C2×D311yescharacteristic
201C3×C22⋊C8C2×D311yescharacteristic
202C3×#97—31no—
203C3×C4×C8—31no—
204#835—31no—
205#835—31no—
206#832—31no—
207#832—31no—
208#830C2×D311yescharacteristic
209#821—31no—
210#821—31no—
211#821C2×D311yescharacteristic
212#821C2×D311yescharacteristic
213#818—31no—
214#818—31no—
215#818—31no—
216#818—61no—
217#817—31no—
218#817—31no—
219#817—31no—
220#817—61no—
221#816—31no—
222#816—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—31no—
227#816—61no—
228#816—61no—
229#815C2×D311yescharacteristic, complemented
230Dic3⋊C8C2×D311yescharacteristic, complemented
231Dic3⋊C8C2×D311yescharacteristic, complemented
232C8×Dic3C2×D311yescharacteristic, complemented
233#808—31no—
234#807—31no—
235C23×C32C2×D411yescharacteristic
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3—24no—
239C22×C3×D3—81no—
240C22×C3×D3—81no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3—21no—
249#634—21no—
250#634—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—24no—
258C3×D12—21no—
259C3×D12—21no—
260C3×D12#4112yes—
261C3×D12#4112yes—
262C3×Dic6—21no—
263C3×Dic6—21no—
264D3×Dic3—81no—
265D3×Dic3—81no—
266D3×Dic3—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C32×C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#541—91no—
273#518—91no—
274#485—91no—
275#485—91no—
276#478—91no—
277#478—91no—
278#461—91no—
279#461—91no—
280#450—31no—
281#450—91no—
282#440—91no—
283#440—91no—
284C4×SD16—91no—
285C4×SD16—91no—
286#433—31no—
287C24×C3—61no—
288C23×D3—21no—
289C2×C3×Q8—31no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C2×C3×D4—62no—
293C2×C3×D4—62no—
294C2×C3×D4—61no—
295C22×C3×C4—21no—
296C22×C3×C4C22×D311yescharacteristic
297C22×C3×C4C22×D311yescharacteristic
298C22×Dic3—61no—
299C22×Dic3—61no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C2×D12—21no—
303C2×D12—22no—
304C2×D12—22no—
305C2×D12C22×D311yescharacteristic
306C2×D12C22×D311yescharacteristic
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×Dic6—31no—
312C2×Dic6—31no—
313C2×Dic6—61no—
314C2×Dic6C22×D311yescharacteristic
315C3×SD16—62no—
316C3×SD16—62no—
317C2×C3×C8—21no—
318C2×C3×C8—21no—
319C2×C3×C8—31no—
320C2×C3×C8—31no—
321C2×C3×C8C22×D311yescharacteristic
322C2×C3×C8C22×D311yescharacteristic
323C2×C3×C8C22×D311yescharacteristic
324C2×C3×C8C22×D311yescharacteristic
325C3×C4⋊C4—31no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—61no—
329C3×C22⋊C4—31no—
330C3×C22⋊C4—31no—
331C3×C22⋊C4—61no—
332C3×C42—31no—
333C3×C42—31no—
334#217—21no—
335#217—61no—
336#217—61no—
337#217—61no—
338#217—61no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—121no—
344#217—121no—
345#217D1211yescharacteristic
346#217D1211yescharacteristic
347#214—62no—
348#214—62no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3D1211yescharacteristic
367C4⋊Dic3D1211yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—121no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—121no—
388C4×Dic3C22×D311yescharacteristic
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392#204—22no—
393#204—22no—
394#204—62no—
395#204—62no—
396C22×C32—21no—
397C22×C32—21no—
398C22×C32—21no—
399C22×C32C22×D411yescharacteristic
400C2×C3×D3—22no—
401C2×C3×D3—22no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—84no—
407C32×C4—21no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—41no—
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C22×D4—31no—
421C2×SD16—31no—
422C2×SD16—31no—
423C2×SD16—91no—
424C2×SD16—91no—
425C4⋊Q8—91no—
426#126—181no—
427#126—181no—
428#125—91no—
429#125—181no—
430#125—181no—
431C22⋊Q8—31no—
432C22⋊Q8—91no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—181no—
440C4×D4—181no—
441#117—31no—
442#117—91no—
443C2×C22⋊C4—181no—
444C2×C22⋊C4—181no—
445#107—91no—
446#107—91no—
447#106—91no—
448#106—91no—
449C4⋊C8—31no—
450C4⋊C8—31no—
451#103—91no—
452#103—91no—
453#103—91no—
454#103—91no—
455#102—31no—
456#102—31no—
457#102—91no—
458#102—91no—
459C22⋊C8—31no—
460C22⋊C8D3211yescharacteristic
461#97—31no—
462C4×C8—31no—
463C23×C3—21no—
464C23×C3—64no—
465C23×C3—61no—
466C23×C3—61no—
467C23×C3—241no—
468C23×C3—241no—
469C23×C3C2×D1211yescharacteristic
470C23×C3D3×D411yescharacteristic
471C22×D3—21no—
472C22×D3—21no—
473C22×D3—24no—
474C22×D3—81no—
475C22×D3—81no—
476C3×Q8—61no—
477C3×Q8—61no—
478C3×D4—32no—
479C3×D4—32no—
480C3×D4—64no—
481C3×D4—61no—
482C3×D4—61no—
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—31no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—41no—
494C2×C3×C4—41no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4C2×D1211yescharacteristic
498C2×C3×C4D3×D411yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500C2×C3×C4C23×D311yescharacteristic
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—121no—
512C2×Dic3—121no—
513C2×Dic3—121no—
514C2×Dic3—121no—
515C2×Dic3—241no—
516C2×Dic3—241no—
517C2×Dic3—241no—
518C2×Dic3—241no—
519C2×Dic3C2×D1211yescharacteristic
520C2×Dic3C2×D1211yescharacteristic
521C2×Dic3C2×D1211yescharacteristic
522C2×Dic3C2×D1211yescharacteristic
523D12—24no—
524D12—21no—
525D12—21no—
526D12#23712yes—
527D12#23712yes—
528C4×D3—241no—
529C4×D3—241no—
530C4×D3—241no—
531C4×D3—241no—
532Dic6—21no—
533Dic6—21no—
534Dic6—61no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—121no—
539Dic6—121no—
540C3×C8—21no—
541C3×C8—21no—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—41no—
545C3×C8—41no—
546C3×C8—61no—
547C3×C8—61no—
548C3⋊C8—21no—
549C3⋊C8—21no—
550C2×C32—41no—
551C2×C32#52511yescharacteristic
552C2×C32#57711yescharacteristic
553C2×C32#57711yescharacteristic
554C3×D3—42no—
555C3×D3—42no—
556C24—61no—
557C2×Q8—31no—
558C2×Q8—91no—
559C2×D4—31no—
560C2×D4—31no—
561C2×D4—62no—
562C2×D4—62no—
563C2×D4—61no—
564C22×C4—181no—
565C22×C4—181no—
566C22×C4—181no—
567C22×C4—181no—
568C22×C4C2×D3211yescharacteristic
569SD16—62no—
570SD16—62no—
571SD16—182no—
572SD16—182no—
573C2×C8—31no—
574C2×C8—31no—
575C2×C8C2×D3211yescharacteristic
576C2×C8C2×D3211yescharacteristic
577C4⋊C4—31no—
578C4⋊C4—31no—
579C4⋊C4—31no—
580C4⋊C4—61no—
581C4⋊C4—91no—
582C4⋊C4—91no—
583C4⋊C4—91no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C22⋊C4—31no—
592C22⋊C4—31no—
593C22⋊C4—61no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C42—31no—
601C42—31no—
602C42—181no—
603C42—181no—
604C42—181no—
605C22×C3—21no—
606C22×C3—21no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—21no—
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—62no—
616C22×C3—62no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—244no—
622C22×C3C22×D1211yescharacteristic
623C22×C3C2×D3×D411yescharacteristic
624C2×D3—22no—
625C2×D3—22no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—84no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—41no—
636C3×C4—61no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4C2×#23711yescharacteristic
643C3×C4C2×#23711yescharacteristic
644C3×C4D3×#4111yescharacteristic
645C3×C4D3×#4111yescharacteristic
646Dic3—21no—
647Dic3—21no—
648Dic3—21no—
649Dic3—21no—
650Dic3—41no—
651Dic3—41no—
652Dic3—121no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—241no—
661Dic3—241no—
662Dic3—241no—
663Dic3—241no—
664C32#312311yescharacteristic, complemented, Sylow
665C23—64no—
666C23—61no—
667C23—61no—
668C23—241no—
669C23—241no—
670C23D3×D1211yescharacteristic
671Q8—61no—
672Q8—61no—
673Q8—181no—
674Q8—181no—
675D4—32no—
676D4—32no—
677D4—64no—
678D4—61no—
679D4—61no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—181no—
689C2×C4—181no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4—721no—
693C2×C4—721no—
694C2×C4—721no—
695C2×C4—721no—
696C2×C4D3×D1211yescharacteristic
697C2×C4C22×D3211yescharacteristic
698C8—21no—
699C8—21no—
700C8—61no—
701C8—61no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—41no—
706C2×C3—41no—
707C2×C3—81no—
708C2×C3—122no—
709C2×C3—122no—
710C2×C3#552411yescharacteristic
711C2×C3#558611yescharacteristic
712C2×C3#575111yescharacteristic
713C2×C3#575111yescharacteristic
714C2×C3#576211yescharacteristic
715C2×C3#577511yescharacteristic
716D3—42no—
717D3—42no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—62no—
722C22—62no—
723C22—121no—
724C22—121no—
725C22—121no—
726C22—121no—
727C22—244no—
728C22C2×D3×D1211yescharacteristic
729C4—21no—
730C4—61no—
731C4—61no—
732C4—61no—
733C4—61no—
734C4—121no—
735C4—121no—
736C4—361no—
737C4—361no—
738C4—361no—
739C4—361no—
740C4D3×#23711yescharacteristic
741C4D3×#23711yescharacteristic
742C3—21no—
743C3#7938711yescharacteristic, complemented
744C3#8013711yescharacteristic, complemented
745C2—41no—
746C2—122no—
747C2—122no—
748C2#1059407811yescharacteristic
749C2#1059467711yescharacteristic
750C2#1059471311yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊C8C22
socleC22×C32C22×D4
prime radicalC22×C3×D12C22
hypercenterC22⋊C8D32
hypocenterC32#3123
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
2. #10594824C2semidirect
3. #10592422C2semidirect
5. C3×#4720C2semidirect
7. #10591127C2semidirect
8. #10590772C2semidirect
9. #10590767C2semidirect
10. #10590766C2semidirect
11. Dic3×#204C2semidirect
12. #10590752C2semidirect
13. #10590752C2semidirect
14. #10590747C2semidirect
15. #10590744C2semidirect
35. #63869C22semidirect
36. #63866C22semidirect
39. #63844C22semidirect
40. Dic3×Dic6C22semidirect
44. #63645C22semidirect
45. #63644C22semidirect
46. #63643C22semidirect
47. #63643C22semidirect
51. C3×#815C22semidirect
52. C3×Dic3⋊C8C22semidirect
53. C3×Dic3⋊C8C22semidirect
54. C3×C8×Dic3C22semidirect
55. #63575C22semidirect
56. #63573C22semidirect
57. #63566C22semidirect
58. #63566C22semidirect
87. #4720D3semidirect
229. #815C2×D3semidirect
230. Dic3⋊C8C2×D3semidirect
231. Dic3⋊C8C2×D3semidirect
232. C8×Dic3C2×D3semidirect
664. C32#3123semidirect
743. C3#79387semidirect
744. C3#80137semidirect

Maximal subgroups

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

subgroupindex
#105949822
#105948242
#105924222
C3×#47312
C3×#47202
#105911722
#105911272
#105907722
#105907672
#105907662
Dic3×#2042
#105907522
#105907472
#105907442
#801373
#793873