Finite Group Databasebeta

← #11897593

Subgroups — #11897593

Order 1152.

862 conjugacy classes of subgroups.

The subgroup lattice has 733 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596161C211yesmaximal, characteristic, complemented
2#10593904C211yesmaximal, characteristic, complemented
3C3×#5066C211yesmaximal, characteristic, complemented
4C3×#5064C211yesmaximal, characteristic, complemented
5#10590563C211yesmaximal, characteristic, complemented
6#10590473C211yesmaximal, characteristic, complemented
7#10590472C211yesmaximal, characteristic, complemented
8#10590462C211yesmaximal, characteristic
9#10590459C211yesmaximal, characteristic
10#10590433C211yesmaximal, characteristic, complemented
11#10590430C211yesmaximal, characteristic, complemented
12#10590416C211yesmaximal, characteristic, complemented
13#10590346C211yesmaximal, characteristic
14#10590300C211yesmaximal, characteristic, complemented
15#10590255C211yesmaximal, characteristic, complemented
16#81964—31nomaximal
17#81158—31nomaximal
18C2×D3×Dic6—21no—
19C32×#125C2211yescharacteristic
20#64106—21no—
21#64105—21no—
22#64105—21no—
23#64102C2211yescharacteristic
24#64102C2211yescharacteristic
25C4⋊C4×C3⋊D3—21no—
26#64099C2211yescharacteristic
27#64097C2211yescharacteristic
28C4×C4⋊(C3⋊D3)C2211yescharacteristic
29C4×#634C2211yescharacteristic
30C3×C4×D12C2211yescharacteristic
31C3×#869C2211yescharacteristic
32#63919C2211yescharacteristic
33#63919C2211yescharacteristic
34#63899—21no—
35#63899—21no—
36#63898C2211yescharacteristic
37#63898C2211yescharacteristic
38#63856—21no—
39C2×#3714C2211yescharacteristic
40C3×#809C2211yescharacteristic
41C3×#809C2211yescharacteristic
42C3×#808C2211yescharacteristic
43C3×#808C2211yescharacteristic
44C3×#808C2211yescharacteristic
45C3×#807C2211yescharacteristic
46C3×#807C2211yescharacteristic
47C3×#807C2211yescharacteristic
48C3×C4⋊(C3⋊C8)C2211yescharacteristic
49C3×#803C2211yescharacteristic
50#63573C2211yescharacteristic
51#63573C2211yescharacteristic
52#63573C2211yescharacteristic
53#63572C2211yescharacteristic
54#63572C2211yescharacteristic
55#63564C2211yescharacteristic
56#63564C2211yescharacteristic
57#63564C2211yescharacteristic
58#63563C2211yescharacteristic
59#63555C2211yescharacteristic
60#63553C2211yescharacteristic
61#5727—31no—
62#5690—31no—
63#5690—31no—
64#5690—61no—
65D4×Dic6—31no—
66C3×#501—31no—
67C3×#478—31no—
68#5084—31no—
69#5066D311yescharacteristic, complemented
70#5064D311yescharacteristic, complemented
71#5014—31no—
72#4891—31no—
73#4890—31no—
74#4890—31no—
75#4876—31no—
76#4876—31no—
77#4872—31no—
78#4870—31no—
79#4870—31no—
80#4870—31no—
81#4869—31no—
82#4855—31no—
83#4855—31no—
84#4842—31no—
85#4828—31no—
86#4785—31no—
87#4763—31no—
88#4761—31no—
89#4756—31no—
90#4711—31no—
91#4701—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×C4×C3⋊D3—21no—
95C2×C4×C3⋊D3—21no—
96C2×#634—21no—
97C2×#634D411yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×Dic6—21no—
101C2×#627—21no—
102C2×#627—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105D3×Dic6—44no—
106C32×C4⋊C4—21no—
107C32×C4⋊C4—21no—
108C32×C4⋊C4C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C32×C42C2311yescharacteristic
111#3752—21no—
112#3752—21no—
113#3752—21no—
114C4⋊(C3⋊Dic3)—21no—
115C4⋊(C3⋊Dic3)D411yescharacteristic
116C4⋊(C3⋊Dic3)C2311yescharacteristic
117#3750—21no—
118#3750—21no—
119#3750D411yescharacteristic
120#3750D411yescharacteristic
121C4×C3⋊Dic3C2311yescharacteristic
122C4×C3⋊Dic3C2311yescharacteristic
123C3×(C2×D3)⋊C4—21no—
124C3×C4⋊Dic3—21no—
125C3×C4⋊Dic3C2311yescharacteristic
126C3×C4⋊Dic3C2311yescharacteristic
127C3×C4⋊Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132#3724—21no—
133#3724—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136#3714Q814yescomplemented
137#3384—91noSylow
138C2×D3×Q8—61no—
139C22×Dic6—61no—
140C3×C4⋊Q8—31no—
141C3×#125—21no—
142C3×#125C2×D311yescharacteristic
143C3×#125C2×D311yescharacteristic
144C3×C4×D4—31no—
145#946—61no—
146D4×Dic3—31no—
147D4×Dic3—31no—
148C2×#213—31no—
149#924—61no—
150C2×D24—31no—
151#897—61no—
152#897—61no—
153#897—62no—
154#896—61no—
155#896—61no—
156#896—61no—
157#896—61no—
158#896—61no—
159#896—61no—
160#896—62no—
161#896—62no—
162#893—31no—
163#893—31no—
164#893—31no—
165#893—31no—
166#893—31no—
167#893—31no—
168#893—61no—
169#893—61no—
170D3×C4⋊C4—61no—
171D3×C4⋊C4—61no—
172D3×C4⋊C4—62no—
173#890—31no—
174#890—31no—
175#890—61no—
176#888—31no—
177#888—31no—
178#888—31no—
179#888—31no—
180#888—31no—
181#888—31no—
182#888—61no—
183#878—61no—
184#878—61no—
185C4×D12—31no—
186C4×D12—31no—
187C4×D12—61no—
188C4×D12C2×D311yescharacteristic
189#869C2×D311yescharacteristic
190C4×Dic6—31no—
191C4×Dic6—31no—
192C4×Dic6—61no—
193C3×#107—31no—
194C3×#107—31no—
195C3×#107—31no—
196C3×#106—31no—
197C3×#106—31no—
198C3×#106—31no—
199C3×C4⋊C8—31no—
200C3×#102—31no—
201C3×#102—31no—
202C3×#97—31no—
203#832—31no—
204#821—31no—
205#821—31no—
206#821—31no—
207#821—31no—
208#817—31no—
209#817—31no—
210#817—31no—
211#815—31no—
212#815—31no—
213Dic3⋊C8—31no—
214Dic3⋊C8—31no—
215Dic3⋊C8—31no—
216Dic3⋊C8—31no—
217C8×Dic3—31no—
218C8×Dic3—31no—
219#809—31no—
220#809—31no—
221#809—31no—
222#809C2×D311yescharacteristic
223#809C2×D311yescharacteristic
224#808—31no—
225#808—31no—
226#808—31no—
227#808C2×D311yescharacteristic
228#808C2×D311yescharacteristic
229#808C2×D311yescharacteristic
230#807C2×D311yescharacteristic
231#807C2×D311yescharacteristic
232#807C2×D311yescharacteristic
233C4⋊(C3⋊C8)C2×D311yescharacteristic
234#803C2×D311yescharacteristic
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C2×C32×C4—21no—
238C2×C32×C4—21no—
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)C2×Q812yescomplemented
249C4×C3⋊D3—42no—
250C4×C3⋊D3—81no—
251C4×C3⋊D3—81no—
252#634—22no—
253#634—81no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C3×D12—21no—
258C3×D12C2×Q812yes—
259C3×C4×D3—42no—
260C3×Dic6—42no—
261#627—42no—
262#627—42no—
263D3×Dic3—42no—
264D3×Dic3—42no—
265C3×C3⋊C8—21no—
266C3×C3⋊C8—21no—
267C3×C3⋊C8—21no—
268C3×C3⋊C8C2×Q812yescomplemented
269#554—91no—
270D4×Q8—91no—
271#501—31no—
272#501—91no—
273#498—91no—
274#478—31no—
275#478—91no—
276#476—91no—
277#476—91no—
278#476—91no—
279#474—91no—
280#446—91no—
281#442—91no—
282#442—91no—
283C4×D8—91no—
284C2×C3×Q8—61no—
285C2×C3×D4—31no—
286C22×C3×C4—61no—
287C22×Dic3—61no—
288C22×Dic3—61no—
289D3×Q8—124no—
290C2×D12—31no—
291C2×D12—31no—
292C2×D12—61no—
293C2×D12C22×D311yescharacteristic
294C2×C4×D3—21no—
295C2×C4×D3—61no—
296C2×C4×D3—61no—
297C2×C4×D3—61no—
298C2×C4×D3—61no—
299C2×C4×D3—62no—
300C2×C4×D3—61no—
301C2×C4×D3—61no—
302C2×C4×D3—62no—
303C2×C4×D3—62no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×Dic6—21no—
307C2×Dic6—31no—
308C2×Dic6—31no—
309C2×Dic6—61no—
310C2×Dic6—61no—
311C2×Dic6—61no—
312C2×Dic6—61no—
313C2×Dic6—61no—
314C2×Dic6—61no—
315C2×Dic6—61no—
316C2×Dic6—62no—
317C2×Dic6—124no—
318C2×C3×C8—31no—
319C2×C3×C8—31no—
320C2×C3×C8—31no—
321C2×C3×C8—31no—
322C3×C4⋊C4—22no—
323C3×C4⋊C4—22no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—21no—
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—61no—
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C4⋊C4C22×D311yescharacteristic
336C3×C4⋊C4C22×D311yescharacteristic
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C22⋊C4—61no—
339C3×C42—21no—
340C3×C42C22×D311yescharacteristic
341C3×C42C22×D311yescharacteristic
342#217—61no—
343#217—61no—
344#213—34no—
345(C2×D3)⋊C4—21no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—62no—
353(C2×D3)⋊C4—62no—
354(C2×D3)⋊C4—62no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357C4⋊Dic3—21no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—62no—
367C4⋊Dic3C22×D311yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—31no—
371Dic3⋊C4—31no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—61no—
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—61no—
384Dic3⋊C4—62no—
385Dic3⋊C4—62no—
386C4×Dic3—31no—
387C4×Dic3—31no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C2×C3⋊C8C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396D24—34no—
397C22×C32C22×D411yescharacteristic
398C2×C3⋊D3—22no—
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3×D3—22no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C32×C4—21no—
405C32×C4—21no—
406C32×C4—41no—
407C32×C4—41no—
408C32×C4C22×Q811yescharacteristic
409C32×C42−1+411yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—41no—
414C3⋊Dic3AGL(1,ℤ/8)12yes—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C22×Q8—181no—
419C2×D8—91no—
420C4⋊Q8—31no—
421C4⋊Q8—91no—
422C4⋊Q8—91no—
423C4⋊Q8—91no—
424#125—91no—
425#125D3211yescharacteristic
426C22⋊Q8—181no—
427C22⋊Q8—181no—
428C22⋊Q8—181no—
429C22⋊Q8—181no—
430C22⋊Q8—181no—
431C22⋊Q8—181no—
432C4×Q8—91no—
433C4×D4—31no—
434C4×D4—91no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—91no—
439C2×C4⋊C4—181no—
440#107—31no—
441#107—31no—
442#107—31no—
443#106—31no—
444#106—31no—
445#106—31no—
446#106—91no—
447#106—91no—
448#106—91no—
449C4⋊C8—31no—
450C4⋊C8—91no—
451C4⋊C8—91no—
452#102—31no—
453#102—31no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#97—31no—
459#97—91no—
460C4×C8—91no—
461C23×C3—61no—
462C22×D3—21no—
463C22×D3—62no—
464C22×D3—61no—
465C22×D3—61no—
466C3×Q8—122no—
467C3×D4—32no—
468C3×D4—61no—
469C2×C3×C4—22no—
470C2×C3×C4—22no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4—61no—
481C2×C3×C4—122no—
482C2×C3×C4D3×D411yescharacteristic
483C2×C3×C4D3×D411yescharacteristic
484C2×C3×C4D3×D411yescharacteristic
485C2×C3×C4D3×D411yescharacteristic
486C2×C3×C4C23×D311yescharacteristic
487C2×C3×C4C23×D311yescharacteristic
488C2×Dic3—21no—
489C2×Dic3—21no—
490C2×Dic3—21no—
491C2×Dic3—31no—
492C2×Dic3—31no—
493C2×Dic3—31no—
494C2×Dic3—31no—
495C2×Dic3—31no—
496C2×Dic3—31no—
497C2×Dic3—31no—
498C2×Dic3—31no—
499C2×Dic3—61no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—62no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—122no—
507C2×Dic3—122no—
508D12—21no—
509D12—32no—
510D12—32no—
511D12—62no—
512D12—62no—
513D12—61no—
514D12—61no—
515D12D3×Q812yes—
516C4×D3—42no—
517C4×D3—122no—
518C4×D3—122no—
519C4×D3—122no—
520C4×D3—124no—
521C4×D3—122no—
522C4×D3—241no—
523C4×D3—241no—
524C4×D3—241no—
525C4×D3—241no—
526C4×D3—242no—
527C4×D3—242no—
528Dic6—42no—
529Dic6—62no—
530Dic6—62no—
531Dic6—122no—
532Dic6—122no—
533Dic6—122no—
534Dic6—122no—
535Dic6—122no—
536Dic6—241no—
537Dic6—241no—
538Dic6—242no—
539C3×C8—32no—
540C3×C8—61no—
541C3×C8—61no—
542C3×C8—61no—
543C3⋊C8—21no—
544C3⋊C8—21no—
545C3⋊C8—21no—
546C3⋊C8D3×Q812yescomplemented
547C2×C32D4×Q811yescharacteristic
548C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
549C2×C32#57711yescharacteristic
550C3⋊D3—42no—
551C3×D3—42no—
552C2×Q8—61no—
553C2×Q8—91no—
554C2×Q8—181no—
555C2×Q8—181no—
556C2×Q8—181no—
557C2×Q8—364no—
558C2×D4—31no—
559C2×D4—91no—
560C22×C4—61no—
561C22×C4—181no—
562C22×C4—181no—
563C22×C4—181no—
564C22×C4—181no—
565C22×C4—181no—
566D8—94no—
567C2×C8—31no—
568C2×C8—31no—
569C2×C8—31no—
570C2×C8—31no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—31no—
574C4⋊C4—31no—
575C4⋊C4—31no—
576C4⋊C4—61no—
577C4⋊C4—91no—
578C4⋊C4—91no—
579C4⋊C4—91no—
580C4⋊C4—91no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4C2×D3211yescharacteristic
587C4⋊C4C2×D3211yescharacteristic
588C22⋊C4—61no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C42—91no—
595C42—91no—
596C42C2×D3211yescharacteristic
597C22×C3—21no—
598C22×C3—62no—
599C22×C3—121no—
600C22×C3—121no—
601C22×C3C2×D3×D411yescharacteristic
602C22×C3C2×D3×D411yescharacteristic
603C2×D3—22no—
604C2×D3—41no—
605C2×D3—41no—
606C2×D3—64no—
607C2×D3—62no—
608C2×D3—62no—
609C2×D3—122no—
610C2×D3—122no—
611C2×D3—121no—
612C2×D3—121no—
613C2×D3—121no—
614C2×D3—121no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—21no—
621C3×C4—41no—
622C3×C4—41no—
623C3×C4—42no—
624C3×C4—42no—
625C3×C4—41no—
626C3×C4—41no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4—121no—
630C3×C4—121no—
631C3×C4—121no—
632C3×C4C2×D3×Q811yescharacteristic
633C3×C4C2×D3×Q811yescharacteristic
634C3×C4#100711yescharacteristic
635C3×C4#101011yescharacteristic
636Dic3—32no—
637Dic3—32no—
638Dic3—41no—
639Dic3—41no—
640Dic3—41no—
641Dic3—62no—
642Dic3—61no—
643Dic3—61no—
644Dic3—61no—
645Dic3—61no—
646Dic3—61no—
647Dic3—61no—
648Dic3—121no—
649Dic3—121no—
650Dic3—121no—
651Dic3—122no—
652Dic3—121no—
653Dic3—121no—
654C32#338411yescharacteristic, complemented, Sylow
655C23—61no—
656C23—181no—
657Q8—122no—
658Q8—182no—
659Q8—362no—
660Q8—362no—
661Q8—721no—
662D4—32no—
663D4—61no—
664D4—92no—
665D4—181no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—91no—
672C2×C4—91no—
673C2×C4—91no—
674C2×C4—91no—
675C2×C4—122no—
676C2×C4—181no—
677C2×C4—362no—
678C2×C4—362no—
679C2×C4—362no—
680C2×C4—721no—
681C2×C4—721no—
682C2×C4#381111yescharacteristic
683C2×C4#381111yescharacteristic
684C2×C4C22×D3211yescharacteristic
685C8—32no—
686C8—61no—
687C8—61no—
688C8—61no—
689C2×C3—21no—
690C2×C3—21no—
691C2×C3—21no—
692C2×C3—122no—
693C2×C3#563211yescharacteristic
694C2×C3#572711yescharacteristic
695C2×C3#577011yescharacteristic
696C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
697C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
698C2×C3#577811yescharacteristic
699D3—42no—
700D3—124no—
701D3—122no—
702D3—122no—
703C22—62no—
704C22—121no—
705C22—121no—
706C22—182no—
707C22—361no—
708C22—361no—
709C22C2×#381111yescharacteristic
710C4—21no—
711C4—21no—
712C4—41no—
713C4—41no—
714C4—92no—
715C4—121no—
716C4—121no—
717C4—121no—
718C4—181no—
719C4—181no—
720C4—181no—
721C4—361no—
722C4#6431511yescharacteristic
723C4D32×Q811yescharacteristic
724C3—21no—
725C3#8115811yescharacteristic, complemented
726C3#8196411yescharacteristic, complemented
727C2—122no—
728C2—362no—
729C2#1059536111yescharacteristic
730C2#1059545811yescharacteristic
731C2#1059547311yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#125C22
socleC22×C32C22×D4
prime radicalC2×#3714C22
hypercenter#125D32
hypocenterC32#3384
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #125

Complements

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

NH ≅ G/Ntype
1. #10596161C2semidirect
2. #10593904C2semidirect
3. C3×#5066C2semidirect
4. C3×#5064C2semidirect
5. #10590563C2semidirect
6. #10590473C2semidirect
7. #10590472C2semidirect
10. #10590433C2semidirect
11. #10590430C2semidirect
12. #10590416C2semidirect
14. #10590300C2semidirect
15. #10590255C2semidirect
69. #5066D3semidirect
70. #5064D3semidirect
136. #3714Q8semidirect
248. C4⋊(C3⋊D3)C2×Q8semidirect
268. C3×C3⋊C8C2×Q8semidirect
546. C3⋊C8D3×Q8semidirect
654. C32#3384semidirect
725. C3#81158semidirect
726. C3#81964semidirect

Maximal subgroups

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

subgroupindex
#105961612
#105939042
C3×#50662
C3×#50642
#105905632
#105904732
#105904722
#105904622
#105904592
#105904332
#105904302
#105904162
#105903462
#105903002
#105902552
#819643
#811583