Finite Group Databasebeta

← #11868808

Subgroups — #11868808

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
1Dic3×#237C211yesmaximal, characteristic
2D3×#888C211yesmaximal, characteristic, complemented
3#10592458C211yesmaximal, characteristic, complemented
4C3×#4771C211yesmaximal, characteristic
5C3×#4761C211yesmaximal, characteristic, complemented
6#10591494C211yesmaximal, characteristic, complemented
7#10591414C211yesmaximal, characteristic
8#10591408C211yesmaximal, characteristic, complemented
9#10590816C211yesmaximal, characteristic, complemented
10#10590804C211yesmaximal, characteristic, complemented
11#10590681C211yesmaximal, characteristic, complemented
12#10590663C211yesmaximal, characteristic, complemented
13#10590581C211yesmaximal, characteristic, complemented
14#10590497C211yesmaximal, characteristic, complemented
15#10590489C211yesmaximal, characteristic, complemented
16#81061—31nomaximal
17#78870—31nomaximal
18C2×C3×#237C2211yescharacteristic
19C2×D3×Dic6—21no—
20D4×C3⋊Dic3C2211yescharacteristic
21#64097C2211yescharacteristic
22C3×D4×Dic3C2211yescharacteristic
23C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
24C3×D3×C4⋊C4C2211yescharacteristic
25C3×#888C2211yescharacteristic
26#67⋊Dic3—21no—
27Dic3×#67—21no—
28#63955—21no—
29C2×Dic32—21no—
30#63919C2211yescharacteristic
31#63918C2211yescharacteristic
32D3×C4⋊Dic3C2211yescharacteristic
33D3×Dic3⋊C4—21no—
34C4×D3×Dic3C2211yescharacteristic
35#63843C2211yescharacteristic
36Dic3×Dic6C2211yescharacteristic
37#63841C2211yescharacteristic
38#63840—21no—
39#63839—21no—
40C2×#3711C2211yescharacteristic
41C32×#102C2211yescharacteristic
42#63659C2211yescharacteristic
43#63645C2211yescharacteristic
44#63641C2211yescharacteristic
45#63634C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#817C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#808C2211yescharacteristic
53#63575C2211yescharacteristic
54#63575C2211yescharacteristic
55#63574C2211yescharacteristic
56#63573C2211yescharacteristic
57#63572C2211yescharacteristic
58Dic3⋊(C3⋊C8)C2211yescharacteristic
59#63566C2211yescharacteristic
60#63565C2211yescharacteristic
61Dic3×#41—31no—
62D3×C4⋊Q8—31no—
63C4×#237—31no—
64C2×#888—31no—
65C3×#476—31no—
66C3×#417—31no—
67#5232—31no—
68#5121—31no—
69#5118—31no—
70#5091—31no—
71#5008—31no—
72#4964—31no—
73#4861—31no—
74#4861—31no—
75#4854—31no—
76#4854—31no—
77#4850—31no—
78#4837—31no—
79#4793—31no—
80#4793—31no—
81#4791—31no—
82#4791—31no—
83#4771—31no—
84#4771D311yescharacteristic
85#4761—31no—
86#4761D311yescharacteristic, complemented
87#4759—31no—
88#4759—31no—
89#4759—31no—
90#4759—31no—
91#4759—61no—
92C2×C32×D4C2311yescharacteristic
93C22×C3⋊Dic3—21no—
94C2×#634—21no—
95C2×C3×#67—21no—
96C22×C3×Dic3—21no—
97C22×C3×Dic3—21no—
98C3×#237—22no—
99C3×#237Q814yescomplemented
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6—21no—
103C2×C3×Dic6C2311yescharacteristic
104C2×#627—21no—
105C2×#627—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3D411yescharacteristic
108C2×D3×Dic3D411yescharacteristic
109D3×Dic6—44no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112#3757—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C3×#217—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C3×ΓL(1,𝔽25)—22no—
128#3724—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134Dic32—21no—
135Dic32—21no—
136Dic32—21no—
137Dic32D411yescharacteristic
138Dic32D411yescharacteristic
139#3711—22no—
140#3079—91noSylow
141C2×C3×#41—31no—
142C2×D3×Q8—61no—
143C2×#237C2×D311yescharacteristic
144C22×Dic6—61no—
145C2×C3×M16—31no—
146C3×C4⋊Q8—31no—
147C3×C4×D4—31no—
148C2×C3×C4⋊C4—31no—
149Q8×Dic3—31no—
150Q8×Dic3—31no—
151#944—61no—
152D4×Dic3—31no—
153D4×Dic3—31no—
154D4×Dic3—61no—
155D4×Dic3—61no—
156D4×Dic3—61no—
157D4×Dic3C2×D311yescharacteristic
158C4×#67—61no—
159#926—31no—
160#926—61no—
161C2×C4⋊Dic3—31no—
162C2×Dic3⋊C4—61no—
163C2×C4×Dic3—31no—
164C2×C4×Dic3—61no—
165C2×C4×Dic3—61no—
166C2×#208—31no—
167C2×ΓL(1,𝔽25)—31no—
168C2×ΓL(1,𝔽25)C2×D311yescharacteristic
169#892—31no—
170D3×C4⋊C4—31no—
171D3×C4⋊C4—61no—
172D3×C4⋊C4C2×D311yescharacteristic
173#888—31no—
174#888—31no—
175#888—31no—
176#888—31no—
177#888—31no—
178#888—61no—
179#888—61no—
180#888—61no—
181#888—61no—
182#888C2×D311yescharacteristic
183#887—31no—
184#67⋊C4—61no—
185#877—61no—
186C42×D3—31no—
187#869—31no—
188C4×Dic6—31no—
189C3×#106—31no—
190C3×#106—31no—
191C3×C4⋊C8—31no—
192C3×#103—31no—
193C3×#103—31no—
194C3×#102—21no—
195C3×#102—31no—
196C3×#102—31no—
197C3×#102C2×D311yescharacteristic
198C3×#102C2×D311yescharacteristic
199#835—31no—
200#835—31no—
201#832—31no—
202#832—31no—
203#832—61no—
204#832C2×D311yescharacteristic
205#832C2×D311yescharacteristic
206#818—31no—
207#818—31no—
208#818—31no—
209#818—31no—
210#818—61no—
211#817—31no—
212#817C2×D311yescharacteristic
213#816—31no—
214#816C2×D311yescharacteristic
215Dic3⋊C8—31no—
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220Dic3⋊C8—61no—
221Dic3⋊C8C2×D311yescharacteristic
222#810—31no—
223#810C2×D311yescharacteristic
224#808—31no—
225#808—31no—
226#808—31no—
227#808C2×D311yescharacteristic
228#807—31no—
229#807—31no—
230#807—31no—
231#807—31no—
232#807—61no—
233C4⋊(C3⋊C8)—31no—
234C23×C32—21no—
235C22×C3×D3C2×D411yescharacteristic
236C32×D4—21no—
237C32×D4C2×Q812yescomplemented
238C2×C32×C4—21no—
239C2×C32×C4C2411yescharacteristic
240C2×C3⋊Dic3—21no—
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—42no—
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245#634—42no—
246C3×#67—24no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—24no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—42no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×C4×D3—42no—
257C3×C4×D3C2×Q812yes—
258C3×C4×D3#4112yes—
259C3×Dic6—21no—
260C3×Dic6—42no—
261C3×Dic6C2×Q812yescomplemented
262#627—42no—
263#627—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—91no—
274#477—91no—
275#476—31no—
276#476—91no—
277#475—91no—
278#475—91no—
279#474—91no—
280#474—91no—
281#428—91no—
282#428—91no—
283#423—91no—
284#417—31no—
285#417—91no—
286C3×#41—34no—
287C3×#41—62no—
288C2×C3×Q8—31no—
289C2×C3×Q8—61no—
290C2×C3×D4—21no—
291C2×C3×D4—61no—
292C2×C3×D4C22×D311yescharacteristic
293C2×C3×D4C22×D311yescharacteristic
294C22×C3×C4—31no—
295C22×C3×C4—61no—
296C22×C3×C4—61no—
297C22×C3×C4—61no—
298C2×#67—21no—
299C22×Dic3—21no—
300C22×Dic3—21no—
301C22×Dic3—31no—
302C22×Dic3—31no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306C22×Dic3—121no—
307D3×Q8—124no—
308#237—22no—
309#237Dic614yescomplemented
310C2×C4×D3—21no—
311C2×C4×D3—31no—
312C2×C4×D3—31no—
313C2×C4×D3—61no—
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—31no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C22⋊C4—61no—
340C3×C42—31no—
341#217—21no—
342#217—61no—
343#217—61no—
344#217—61no—
345#217—121no—
346(C2×D3)⋊C4—61no—
347C4⋊Dic3—31no—
348C4⋊Dic3—31no—
349C4⋊Dic3—31no—
350C4⋊Dic3—31no—
351C4⋊Dic3—61no—
352C4⋊Dic3—61no—
353C4⋊Dic3—61no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3C22×D311yescharacteristic
358C4⋊Dic3C22×D311yescharacteristic
359C4⋊Dic3C22×D311yescharacteristic
360Dic3⋊C4—21no—
361Dic3⋊C4—21no—
362Dic3⋊C4—61no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—121no—
371C4×Dic3—31no—
372C4×Dic3—31no—
373C4×Dic3—31no—
374C4×Dic3—31no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3—61no—
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×C32—22no—
394C22×C32—41no—
395C22×C32—41no—
396C22×C32C22×D411yescharacteristic
397C2×C3×D3—21no—
398C2×C3×D3—21no—
399C2×C3×D3C22⋊Q812yes—
400C32×C4—41no—
401C32×C4C22×Q811yescharacteristic
402C32×C4C2×#4111yescharacteristic
403C3⋊Dic3—21no—
404C3⋊Dic3—41no—
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—31no—
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—91no—
425C4×Q8—91no—
426C4×D4—31no—
427C4×D4—91no—
428C4×D4—181no—
429C4×D4—181no—
430#117—91no—
431#117—181no—
432C2×C4⋊C4—31no—
433C2×C4⋊C4—91no—
434C2×C4⋊C4—181no—
435C2×C42—91no—
436C2×C42—181no—
437#107—91no—
438#107—91no—
439#107—91no—
440#107—91no—
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—31no—
454#102—31no—
455#102—91no—
456#102D3211yescharacteristic
457C23×C3—21no—
458C23×C3—21no—
459C23×C3—31no—
460C23×C3—41no—
461C22×D3D3×D411yescharacteristic
462C3×Q8—32no—
463C3×Q8—61no—
464C3×Q8—122no—
465C3×D4—21no—
466C3×D4—21no—
467C3×D4—22no—
468C3×D4—41no—
469C3×D4—64no—
470C3×D4C2×Dic612yescomplemented
471C3×D4D3×Q812yescomplemented
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—31no—
476C2×C3×C4—31no—
477C2×C3×C4—32no—
478C2×C3×C4—32no—
479C2×C3×C4—31no—
480C2×C3×C4—41no—
481C2×C3×C4—64no—
482C2×C3×C4—61no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—122no—
487C2×C3×C4—122no—
488C2×C3×C4C23×D311yescharacteristic
489C2×C3×C4C23×D311yescharacteristic
490#67—24no—
491C2×Dic3—21no—
492C2×Dic3—24no—
493C2×Dic3—21no—
494C2×Dic3—21no—
495C2×Dic3—21no—
496C2×Dic3—31no—
497C2×Dic3—31no—
498C2×Dic3—31no—
499C2×Dic3—31no—
500C2×Dic3—42no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—62no—
504C2×Dic3—62no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—121no—
510C2×Dic3—121no—
511C2×Dic3—122no—
512C2×Dic3—122no—
513C2×Dic3—122no—
514C2×Dic3—242no—
515C2×Dic3D3×D411yescharacteristic
516C2×Dic3D3×D411yescharacteristic
517C2×Dic3D3×D411yescharacteristic
518C4×D3—42no—
519C4×D3—62no—
520C4×D3—62no—
521C4×D3—122no—
522C4×D3C2×Dic612yes—
523C4×D3#23712yes—
524Dic6—21no—
525Dic6—42no—
526Dic6—122no—
527Dic6—122no—
528Dic6—122no—
529Dic6—122no—
530Dic6—122no—
531Dic6—122no—
532Dic6—242no—
533Dic6C2×Dic612yescomplemented
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×C32—42no—
545C2×C32C2×C22⋊Q811yescharacteristic
546C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
547C2×C32C2×#13711yescharacteristic
548C3×D3—22no—
549#41—34no—
550#41—62no—
551C2×Q8—31no—
552C2×Q8—61no—
553C2×Q8—181no—
554C2×Q8—181no—
555C2×Q8—181no—
556C2×Q8—364no—
557C2×D4—61no—
558C2×D4C2×D3211yescharacteristic
559C22×C4—31no—
560C22×C4—61no—
561C22×C4—61no—
562C22×C4—61no—
563C22×C4—91no—
564C22×C4—91no—
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—91no—
579C4⋊C4—91no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4C2×D3211yescharacteristic
587C22⋊C4—61no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C42—31no—
591C42—91no—
592C42—91no—
593C42—91no—
594C42—181no—
595C42—181no—
596C42—181no—
597C22×C3—22no—
598C22×C3—22no—
599C22×C3—21no—
600C22×C3—32no—
601C22×C3—42no—
602C22×C3—41no—
603C22×C3—41no—
604C22×C3—41no—
605C22×C3—41no—
606C22×C3—61no—
607C22×C3—61no—
608C22×C3—81no—
609C22×C3—81no—
610C22×C3C2×D3×D411yescharacteristic
611C22×C3C2×D3×D411yescharacteristic
612C2×D3—21no—
613C2×D3—21no—
614C2×D3#87812yes—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—32no—
618C3×C4—32no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—61no—
622C3×C4—62no—
623C3×C4—81no—
624C3×C4—121no—
625C3×C4—121no—
626C3×C4—121no—
627C3×C4C22×Dic611yescharacteristic
628C3×C4C2×#23711yescharacteristic
629C3×C4C2×D3×Q811yescharacteristic
630C3×C4D3×#4111yescharacteristic
631Dic3—22no—
632Dic3—21no—
633Dic3—32no—
634Dic3—32no—
635Dic3—41no—
636Dic3—41no—
637Dic3—41no—
638Dic3—62no—
639Dic3—61no—
640Dic3—61no—
641Dic3—121no—
642Dic3—121no—
643Dic3—121no—
644Dic3—121no—
645Dic3—121no—
646Dic3—241no—
647Dic3—241no—
648Dic3#87812yes—
649Dic3#91512yes—
650C32#307911yescharacteristic, complemented, Sylow
651C23—21no—
652C23—31no—
653Q8—32no—
654Q8—61no—
655Q8—122no—
656Q8—362no—
657Q8—362no—
658Q8—362no—
659D4—21no—
660D4—64no—
661D4D3×Dic612yescomplemented
662C2×C4—21no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—32no—
666C2×C4—32no—
667C2×C4—31no—
668C2×C4—64no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—91no—
674C2×C4—91no—
675C2×C4—122no—
676C2×C4—122no—
677C2×C4—182no—
678C2×C4—182no—
679C2×C4—181no—
680C2×C4—181no—
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—42no—
692C2×C3—42no—
693C2×C3—62no—
694C2×C3—82no—
695C2×C3C2×#87811yescharacteristic
696C2×C3D3×C22⋊Q811yescharacteristic
697C2×C3C2×#91511yescharacteristic
698C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
699C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
700C2×C3D3×#13711yescharacteristic
701D3—22no—
702C22—22no—
703C22—32no—
704C22—41no—
705C22—41no—
706C22—61no—
707C22—61no—
708C22D32×D411yescharacteristic
709C4—32no—
710C4—32no—
711C4—41no—
712C4—62no—
713C4—61no—
714C4—92no—
715C4—121no—
716C4—121no—
717C4—121no—
718C4—181no—
719C4—361no—
720C4—361no—
721C4C2×D3×Dic611yescharacteristic
722C4D3×#23711yescharacteristic
723C3—21no—
724C3#7887011yescharacteristic, complemented
725C3#8106111yescharacteristic, complemented
726C2—42no—
727C2—62no—
728C2D3×#87811yescharacteristic
729C2#1059472611yescharacteristic
730C2D3×#91511yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
prime radicalC2×C3×#237C22
hypercenter#102D32
hypocenterC32#3079
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
2. D3×#888C2semidirect
3. #10592458C2semidirect
5. C3×#4761C2semidirect
6. #10591494C2semidirect
8. #10591408C2semidirect
9. #10590816C2semidirect
10. #10590804C2semidirect
11. #10590681C2semidirect
12. #10590663C2semidirect
13. #10590581C2semidirect
14. #10590497C2semidirect
15. #10590489C2semidirect
86. #4761D3semidirect
99. C3×#237Q8semidirect
237. C32×D4C2×Q8semidirect
261. C3×Dic6C2×Q8semidirect
309. #237Dic6semidirect
470. C3×D4C2×Dic6semidirect
471. C3×D4D3×Q8semidirect
533. Dic6C2×Dic6semidirect
650. C32#3079semidirect
661. D4D3×Dic6semidirect
724. C3#78870semidirect
725. C3#81061semidirect

Maximal subgroups

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

subgroupindex
Dic3×#2372
D3×#8882
#105924582
C3×#47712
C3×#47612
#105914942
#105914142
#105914082
#105908162
#105908042
#105906812
#105906632
#105905812
#105904972
#105904892
#810613
#788703