Finite Group Databasebeta

← #11868828

Subgroups — #11868828

Order 1152.

886 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#888C211yesmaximal, characteristic, complemented
2#10594362C211yesmaximal, characteristic
3#10592589C211yesmaximal, characteristic, complemented
4C3×#4881C211yesmaximal, characteristic, complemented
5C3×#4875C211yesmaximal, characteristic, complemented
6#10590816C211yesmaximal, characteristic, complemented
7#10590759C211yesmaximal, characteristic, complemented
8#10590671C211yesmaximal, characteristic
9#10590663C211yesmaximal, characteristic, complemented
10#10590609C211yesmaximal, characteristic
11#10590557C211yesmaximal, characteristic, complemented
12#10590497C211yesmaximal, characteristic, complemented
13#10590466C211yesmaximal, characteristic, complemented
14#10590436C211yesmaximal, characteristic, complemented
15#10590430C211yesmaximal, characteristic, complemented
16#81109—31nomaximal
17#79240—31nomaximal
18C2×#3799C2211yescharacteristic
19C2×D3×Dic6—21no—
20#64102C2211yescharacteristic
21#64097C2211yescharacteristic
22C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
23C3×#892C2211yescharacteristic
24C3×D3×C4⋊C4C2211yescharacteristic
25C3×#888C2211yescharacteristic
26C3×#887C2211yescharacteristic
27#63919C2211yescharacteristic
28#63918C2211yescharacteristic
29#63894C2211yescharacteristic
30D3×C4⋊Dic3C2211yescharacteristic
31C4×#624—21no—
32#63881—21no—
33#63880—21no—
34D3×Dic3⋊C4—21no—
35C4×D3×Dic3C2211yescharacteristic
36#63843C2211yescharacteristic
37#63840—21no—
38#63839—21no—
39#63836—21no—
40C2×#3711C2211yescharacteristic
41C32×#107C2211yescharacteristic
42#63648C2211yescharacteristic
43#63641C2211yescharacteristic
44#63636C2211yescharacteristic
45#63634C2211yescharacteristic
46C3×#817C2211yescharacteristic
47C3×#816C2211yescharacteristic
48C3×Dic3⋊C8C2211yescharacteristic
49C3×#810C2211yescharacteristic
50C3×#808C2211yescharacteristic
51C3×#807C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63574C2211yescharacteristic
54#63573C2211yescharacteristic
55#63572C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63565C2211yescharacteristic
59#63564C2211yescharacteristic
60#63564C2211yescharacteristic
61D3×C4⋊Q8—31no—
62C4×#239—31no—
63#5522—31no—
64C2×#888—31no—
65C3×#477—31no—
66C3×#428—31no—
67#5133—31no—
68#5118—31no—
69#5084—31no—
70#5021—31no—
71#4995—31no—
72#4966—31no—
73#4890—31no—
74#4890—31no—
75#4890—31no—
76#4890—31no—
77#4890—61no—
78#4881—31no—
79#4881D311yescharacteristic, complemented
80#4875—31no—
81#4875D311yescharacteristic, complemented
82#4870—31no—
83#4870—31no—
84#4854—31no—
85#4854—31no—
86#4842—31no—
87#4837—31no—
88#4803—31no—
89#4803—31no—
90#4791—31no—
91#4791—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×#634—21no—
95C2×C3×C4×D3—21no—
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6—21no—
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#627—21no—
101C2×#626—21no—
102C2×#624—21no—
103C2×#624—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3D411yescharacteristic
106C2×D3×Dic3D411yescharacteristic
107#3799—22no—
108#3799Q814yescomplemented
109D3×Dic6—44no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112C32×C4⋊C4C2311yescharacteristic
113#3752—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C3×ΓL(1,𝔽25)—22no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135#3722—21no—
136Dic32—21no—
137Dic32D411yescharacteristic
138Dic32D411yescharacteristic
139#3711—22no—
140#3079—91noSylow
141C2×#239—31no—
142C2×D3×Q8—61no—
143C2×#235—31no—
144C22×Dic6—61no—
145C2×C3×M16—31no—
146C3×C4⋊Q8—31no—
147C3×C4×Q8—31no—
148C3×#117—31no—
149C2×C3×C4⋊C4—31no—
150Q8×Dic3—31no—
151#944—61no—
152C2×C4⋊Dic3—31no—
153C2×Dic3⋊C4—61no—
154C2×C4×Dic3—31no—
155C2×#208—31no—
156C2×ΓL(1,𝔽25)—31no—
157C2×ΓL(1,𝔽25)C2×D311yescharacteristic
158#893—31no—
159#893—31no—
160#893—31no—
161#893—61no—
162#893—61no—
163#892—61no—
164#892C2×D311yescharacteristic
165D3×C4⋊C4—31no—
166D3×C4⋊C4—61no—
167D3×C4⋊C4C2×D311yescharacteristic
168#888—31no—
169#888—31no—
170#888—31no—
171#888—31no—
172#888—31no—
173#888—61no—
174#888—61no—
175#888—61no—
176#888—61no—
177#888C2×D311yescharacteristic
178#887—31no—
179#887C2×D311yescharacteristic
180#67⋊C4—61no—
181#67⋊C4—61no—
182C4×D12—31no—
183C4×D12—61no—
184#872—61no—
185C42×D3—31no—
186C42×D3—61no—
187C42×D3—61no—
188#869—31no—
189C3×#107—21no—
190C3×#107—31no—
191C3×#107—31no—
192C3×#107C2×D311yescharacteristic
193C3×#107C2×D311yescharacteristic
194C3×#106—31no—
195C3×#106—31no—
196C3×C4⋊C8—31no—
197C3×#103—31no—
198C3×#103—31no—
199#835—31no—
200#835—31no—
201#821—31no—
202#821—31no—
203#821—31no—
204#821—31no—
205#821—61no—
206#817—31no—
207#817C2×D311yescharacteristic
208#816—31no—
209#816C2×D311yescharacteristic
210Dic3⋊C8—31no—
211Dic3⋊C8—31no—
212Dic3⋊C8—31no—
213Dic3⋊C8—31no—
214Dic3⋊C8—31no—
215Dic3⋊C8—61no—
216Dic3⋊C8C2×D311yescharacteristic
217#810—31no—
218#810C2×D311yescharacteristic
219#809—31no—
220#809—31no—
221#809—31no—
222#809—31no—
223#809—61no—
224#808—31no—
225#808—31no—
226#808—31no—
227#808C2×D311yescharacteristic
228#807—31no—
229#807—31no—
230#807—61no—
231#807C2×D311yescharacteristic
232#807C2×D311yescharacteristic
233C4⋊(C3⋊C8)—31no—
234C22×C3⋊D3—21no—
235C22×C3×D3C2×D411yescharacteristic
236C2×C32×C4—21no—
237C2×C32×C4—21no—
238C2×C32×C4C2411yescharacteristic
239C2×C3⋊Dic3—21no—
240C2×C3⋊Dic3C2×D411yescharacteristic
241C2×C3⋊Dic3C2×D411yescharacteristic
242C4⋊(C3⋊D3)—21no—
243C4⋊(C3⋊D3)C2×Q812yescomplemented
244C4×C3⋊D3—42no—
245#634—42no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C3×C4×D3—42no—
254C3×C4×D3C2×Q812yes—
255C3×C4×D3#4112yes—
256C3×Dic6—21no—
257C3×Dic6—42no—
258C3×Dic6C2×Q812yescomplemented
259#627—42no—
260#627—42no—
261#626—24no—
262#624—24no—
263#624—42no—
264D3×Dic3—22no—
265D3×Dic3—22no—
266D3×Dic3—42no—
267C32×C8—21no—
268C3⋊(C3⋊C8)—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271C2×C4⋊Q8—91no—
272C4×#41—91no—
273#477—31no—
274#477—91no—
275#476—91no—
276#476—91no—
277#475—91no—
278#475—91no—
279#474—91no—
280#474—91no—
281#428—31no—
282#428—91no—
283#423—91no—
284#417—91no—
285#417—91no—
286C2×C3×Q8—31no—
287C2×C3×Q8—61no—
288C22×C3×C4—31no—
289C22×C3×C4—61no—
290C2×#67—61no—
291C22×Dic3—31no—
292C22×Dic3—31no—
293C22×Dic3—61no—
294#239—34no—
295#239—62no—
296D3×Q8—124no—
297#235—34no—
298#235—62no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—61no—
302C2×D12—61no—
303C2×C4×D3—21no—
304C2×C4×D3—31no—
305C2×C4×D3—31no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—121no—
314C2×C4×D3C22×D311yescharacteristic
315C2×Dic6—21no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—121no—
323C2×Dic6—124no—
324C2×Dic6C22×D311yescharacteristic
325C3×M16—62no—
326C2×C3×C8—21no—
327C2×C3×C8—31no—
328C2×C3×C8—31no—
329C2×C3×C8C22×D311yescharacteristic
330C2×C3×C8C22×D311yescharacteristic
331C3×C4⋊C4—21no—
332C3×C4⋊C4—21no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C4⋊C4C22×D311yescharacteristic
343C3×C22⋊C4—61no—
344C3×C42—31no—
345C3×C42—61no—
346C3×C42—61no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—121no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3C22×D311yescharacteristic
360C4⋊Dic3C22×D311yescharacteristic
361C4⋊Dic3C22×D311yescharacteristic
362Dic3⋊C4—21no—
363Dic3⋊C4—21no—
364Dic3⋊C4—21no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—121no—
373C4×Dic3—21no—
374C4×Dic3—21no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—31no—
380C4×Dic3—31no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3C22×D311yescharacteristic
385#208—62no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—61no—
389C2×C3⋊C8C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391ΓL(1,𝔽25)—22no—
392ΓL(1,𝔽25)—62no—
393C22×C32C22×D411yescharacteristic
394C2×C3⋊D3—22no—
395C2×C3⋊D3—41no—
396C2×C3⋊D3—41no—
397C2×C3×D3—21no—
398C2×C3×D3—21no—
399C2×C3×D3C22⋊Q812yes—
400C32×C4—41no—
401C32×C4—41no—
402C32×C4C22×Q811yescharacteristic
403C32×C4C2×#4111yescharacteristic
404C3⋊Dic3—21no—
405C3⋊Dic3—41no—
406C3⋊Dic3AGL(1,ℤ/8)12yes—
407C3×Dic3—22no—
408C3×Dic3—21no—
409C3×Dic3—41no—
410C3×Dic3—41no—
411C3×Dic3—41no—
412C3×Dic3C22⋊Q812yes—
413C3×Dic3#13712yes—
414C2×#41—91no—
415C22×Q8—181no—
416C2×M16—31no—
417C2×M16—91no—
418C4⋊Q8—31no—
419C4⋊Q8—91no—
420C4⋊Q8—91no—
421C4⋊Q8—91no—
422C4⋊Q8—181no—
423C4⋊Q8—181no—
424C4×Q8—31no—
425C4×Q8—91no—
426C4×D4—91no—
427C4×D4—91no—
428C4×D4—181no—
429C4×D4—181no—
430#117—31no—
431#117—181no—
432C2×C4⋊C4—31no—
433C2×C4⋊C4—91no—
434C2×C4⋊C4—181no—
435C2×C42—91no—
436C2×C42—181no—
437#107—31no—
438#107—31no—
439#107—91no—
440#107D3211yescharacteristic
441#106—31no—
442#106—31no—
443#106—91no—
444#106—91no—
445C4⋊C8—31no—
446C4⋊C8—91no—
447C4⋊C8—91no—
448C4⋊C8—91no—
449#103—31no—
450#103—31no—
451#103—91no—
452#103—91no—
453#102—91no—
454#102—91no—
455#102—91no—
456#102—91no—
457C23×C3—31no—
458C22×D3—61no—
459C22×D3—61no—
460C22×D3—121no—
461C22×D3D3×D411yescharacteristic
462C3×Q8—32no—
463C3×Q8—61no—
464C3×Q8—122no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—21no—
469C2×C3×C4—21no—
470C2×C3×C4—31no—
471C2×C3×C4—31no—
472C2×C3×C4—32no—
473C2×C3×C4—32no—
474C2×C3×C4—31no—
475C2×C3×C4—41no—
476C2×C3×C4—41no—
477C2×C3×C4—61no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4—61no—
481C2×C3×C4—122no—
482C2×C3×C4C23×D311yescharacteristic
483C2×C3×C4C23×D311yescharacteristic
484#67—64no—
485C2×Dic3—21no—
486C2×Dic3—21no—
487C2×Dic3—21no—
488C2×Dic3—21no—
489C2×Dic3—31no—
490C2×Dic3—31no—
491C2×Dic3—31no—
492C2×Dic3—31no—
493C2×Dic3—61no—
494C2×Dic3—61no—
495C2×Dic3—62no—
496C2×Dic3—62no—
497C2×Dic3—61no—
498C2×Dic3—61no—
499C2×Dic3—121no—
500C2×Dic3—122no—
501C2×Dic3D3×D411yescharacteristic
502C2×Dic3D3×D411yescharacteristic
503C2×Dic3D3×D411yescharacteristic
504D12—32no—
505D12—32no—
506D12—62no—
507D12—64no—
508D12—61no—
509D12—61no—
510D12—121no—
511C4×D3—42no—
512C4×D3—64no—
513C4×D3—62no—
514C4×D3—62no—
515C4×D3—64no—
516C4×D3—122no—
517C4×D3—122no—
518C4×D3—122no—
519C4×D3—122no—
520C4×D3—122no—
521C4×D3—242no—
522C4×D3#23512yes—
523C4×D3D3×Q812yes—
524Dic6—21no—
525Dic6—42no—
526Dic6—122no—
527Dic6—122no—
528Dic6—122no—
529Dic6—122no—
530Dic6—122no—
531Dic6—122no—
532Dic6—242no—
533Dic6D3×Q812yescomplemented
534C3×C8—21no—
535C3×C8—21no—
536C3×C8—41no—
537C3×C8—61no—
538C3×C8—61no—
539C3⋊C8—21no—
540C3⋊C8—21no—
541C3⋊C8—61no—
542C3⋊C8—61no—
543C3⋊C8—121no—
544C2×C32C2×C22⋊Q811yescharacteristic
545C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
546C2×C32C2×#13711yescharacteristic
547C3⋊D3—42no—
548C3×D3—22no—
549#41—94no—
550#41—182no—
551C2×Q8—31no—
552C2×Q8—61no—
553C2×Q8—181no—
554C2×Q8—181no—
555C2×Q8—181no—
556C2×Q8—364no—
557C2×D4—91no—
558C2×D4—181no—
559C22×C4—31no—
560C22×C4—61no—
561C22×C4—91no—
562C22×C4—91no—
563C22×C4—181no—
564C22×C4—181no—
565C22×C4—181no—
566C22×C4—181no—
567M16—62no—
568M16—182no—
569C2×C8—31no—
570C2×C8—31no—
571C2×C8—91no—
572C2×C8C2×D3211yescharacteristic
573C4⋊C4—31no—
574C4⋊C4—31no—
575C4⋊C4—31no—
576C4⋊C4—61no—
577C4⋊C4—61no—
578C4⋊C4—61no—
579C4⋊C4—91no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C4⋊C4C2×D3211yescharacteristic
586C4⋊C4C2×D3211yescharacteristic
587C22⋊C4—61no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C42—31no—
591C42—61no—
592C42—61no—
593C42—91no—
594C42—91no—
595C42—91no—
596C42—181no—
597C22×C3—21no—
598C22×C3—32no—
599C22×C3—61no—
600C22×C3—61no—
601C22×C3C2×D3×D411yescharacteristic
602C22×C3C2×D3×D411yescharacteristic
603C2×D3—21no—
604C2×D3—21no—
605C2×D3—62no—
606C2×D3—62no—
607C2×D3—122no—
608C2×D3—121no—
609C2×D3—121no—
610C2×D3—121no—
611C2×D3—121no—
612C2×D3—241no—
613C2×D3—241no—
614C2×D3#89612yes—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—32no—
618C3×C4—32no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—41no—
623C3×C4—62no—
624C3×C4—61no—
625C3×C4—81no—
626C3×C4—81no—
627C3×C4—121no—
628C3×C4—121no—
629C3×C4—121no—
630C3×C4C2×#23511yescharacteristic
631C3×C4C2×D3×Q811yescharacteristic
632C3×C4C2×D3×Q811yescharacteristic
633C3×C4D3×#4111yescharacteristic
634Dic3—21no—
635Dic3—22no—
636Dic3—32no—
637Dic3—32no—
638Dic3—41no—
639Dic3—41no—
640Dic3—41no—
641Dic3—62no—
642Dic3—61no—
643Dic3—61no—
644Dic3—121no—
645Dic3—121no—
646Dic3—121no—
647Dic3—241no—
648Dic3#89612yes—
649Dic3#91812yes—
650C32#307911yescharacteristic, complemented, Sylow
651C23—31no—
652C23—181no—
653Q8—32no—
654Q8—61no—
655Q8—122no—
656Q8—362no—
657Q8—362no—
658Q8—362no—
659D4—92no—
660D4—184no—
661D4—181no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—32no—
667C2×C4—32no—
668C2×C4—31no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—91no—
674C2×C4—91no—
675C2×C4—122no—
676C2×C4—184no—
677C2×C4—182no—
678C2×C4—182no—
679C2×C4—181no—
680C2×C4—362no—
681C2×C4—362no—
682C2×C4—362no—
683C2×C4C22×D3211yescharacteristic
684C8—21no—
685C8—61no—
686C8—61no—
687C8—181no—
688C2×C3—21no—
689C2×C3—21no—
690C2×C3—21no—
691C2×C3—62no—
692C2×C3C2×#89611yescharacteristic
693C2×C3D3×C22⋊Q811yescharacteristic
694C2×C3C2×#91811yescharacteristic
695C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
696C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
697C2×C3D3×#13711yescharacteristic
698D3—22no—
699D3—122no—
700D3—122no—
701D3—242no—
702C22—32no—
703C22—61no—
704C22—61no—
705C22—182no—
706C22—361no—
707C22—361no—
708C22D32×D411yescharacteristic
709C4—32no—
710C4—32no—
711C4—41no—
712C4—41no—
713C4—62no—
714C4—61no—
715C4—92no—
716C4—121no—
717C4—121no—
718C4—121no—
719C4—181no—
720C4—361no—
721C4D3×#23511yescharacteristic
722C4D32×Q811yescharacteristic
723C3—21no—
724C3#7924011yescharacteristic, complemented
725C3#8110911yescharacteristic, complemented
726C2—62no—
727C2—362no—
728C2D3×#89611yescharacteristic
729C2#1059472611yescharacteristic
730C2D3×#91811yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
prime radicalC2×#3799C22
hypercenter#107D32
hypocenterC32#3079
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
1. D3×#888C2semidirect
3. #10592589C2semidirect
4. C3×#4881C2semidirect
5. C3×#4875C2semidirect
6. #10590816C2semidirect
7. #10590759C2semidirect
9. #10590663C2semidirect
11. #10590557C2semidirect
12. #10590497C2semidirect
13. #10590466C2semidirect
14. #10590436C2semidirect
15. #10590430C2semidirect
79. #4881D3semidirect
81. #4875D3semidirect
108. #3799Q8semidirect
243. C4⋊(C3⋊D3)C2×Q8semidirect
258. C3×Dic6C2×Q8semidirect
533. Dic6D3×Q8semidirect
650. C32#3079semidirect
724. C3#79240semidirect
725. C3#81109semidirect

Maximal subgroups

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

subgroupindex
D3×#8882
#105943622
#105925892
C3×#48812
C3×#48752
#105908162
#105907592
#105906712
#105906632
#105906092
#105905572
#105904972
#105904662
#105904362
#105904302
#811093
#792403