Finite Group Databasebeta

← #11868839

Subgroups — #11868839

Order 1152.

880 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Dic3×#239C211yesmaximal, characteristic
2D3×#888C211yesmaximal, characteristic, complemented
3#10592492C211yesmaximal, characteristic, complemented
4C3×#4803C211yesmaximal, characteristic
5C3×#4791C211yesmaximal, characteristic, complemented
6#10591631C211yesmaximal, characteristic, complemented
7#10591550C211yesmaximal, characteristic
8#10591544C211yesmaximal, characteristic, complemented
9#10590776C211yesmaximal, characteristic, complemented
10#10590762C211yesmaximal, characteristic, complemented
11#10590681C211yesmaximal, characteristic, complemented
12#10590663C211yesmaximal, characteristic, complemented
13#10590581C211yesmaximal, characteristic, complemented
14#10590472C211yesmaximal, characteristic, complemented
15#10590463C211yesmaximal, characteristic, complemented
16#81012—31nomaximal
17#78870—31nomaximal
18C2×C3×#239C2211yescharacteristic
19C2×D3×Dic6—21no—
20Q8×C3⋊Dic3C2211yescharacteristic
21#64097C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
24C3×D3×C4⋊C4C2211yescharacteristic
25C3×#888C2211yescharacteristic
26#63919C2211yescharacteristic
27#63918C2211yescharacteristic
28#63898—21no—
29#63898C2211yescharacteristic
30Dic3×D12—21no—
31Dic3×D12C2211yescharacteristic
32D3×C4⋊Dic3C2211yescharacteristic
33D3×Dic3⋊C4—21no—
34C4×D3×Dic3—21no—
35C4×D3×Dic3C2211yescharacteristic
36#63841—21no—
37#63841C2211yescharacteristic
38#63840—21no—
39#63839—21no—
40C2×#3711C2211yescharacteristic
41C32×#103C2211yescharacteristic
42#63662C2211yescharacteristic
43#63645C2211yescharacteristic
44#63641C2211yescharacteristic
45#63634C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#817C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#809C2211yescharacteristic
52C3×#808C2211yescharacteristic
53#63575C2211yescharacteristic
54#63575C2211yescharacteristic
55#63574C2211yescharacteristic
56#63573C2211yescharacteristic
57#63572C2211yescharacteristic
58Dic3⋊(C3⋊C8)C2211yescharacteristic
59#63563C2211yescharacteristic
60#63562C2211yescharacteristic
61Dic3×#41—31no—
62D3×C4⋊Q8—31no—
63C4×#239—31no—
64C2×#888—31no—
65C3×#475—31no—
66C3×#417—31no—
67#5232—31no—
68#5121—31no—
69#5118—31no—
70#5087—31no—
71#5020—31no—
72#4964—31no—
73#4870—31no—
74#4870—31no—
75#4861—31no—
76#4861—31no—
77#4846—31no—
78#4837—31no—
79#4803—31no—
80#4803D311yescharacteristic
81#4793—31no—
82#4793—31no—
83#4793—31no—
84#4793—31no—
85#4793—61no—
86#4791—31no—
87#4791D311yescharacteristic, complemented
88#4761—31no—
89#4761—31no—
90#4759—31no—
91#4759—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634—21no—
94C3×#239—22no—
95C3×#239Q814yescomplemented
96C2×C3×D12—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3C2311yescharacteristic
101C2×C3×Dic6—21no—
102C2×#627—21no—
103C2×#627—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3D411yescharacteristic
108C2×D3×Dic3D411yescharacteristic
109D3×Dic6—44no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112C4⋊(C3⋊Dic3)—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C4×C3⋊Dic3—21no—
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×ΓL(1,𝔽25)—22no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136Dic32—21no—
137Dic32D411yescharacteristic
138Dic32D411yescharacteristic
139#3711—22no—
140#3079—91noSylow
141C2×C3×#41—31no—
142C2×#239C2×D311yescharacteristic
143C2×D3×Q8—61no—
144C22×Dic6—61no—
145C2×C3×M16—31no—
146C3×C4⋊Q8—31no—
147C3×C4×Q8—31no—
148C2×C3×C4⋊C4—31no—
149Q8×Dic3—31no—
150Q8×Dic3—31no—
151Q8×Dic3—61no—
152Q8×Dic3C2×D311yescharacteristic
153#944—61no—
154D4×Dic3—31no—
155D4×Dic3—31no—
156D4×Dic3—61no—
157D4×Dic3—61no—
158#926—31no—
159#926—61no—
160C2×C4⋊Dic3—31no—
161C2×Dic3⋊C4—61no—
162C2×C4×Dic3—31no—
163C2×C4×Dic3—61no—
164C2×#208—31no—
165C2×ΓL(1,𝔽25)—31no—
166C2×ΓL(1,𝔽25)C2×D311yescharacteristic
167#893—31no—
168#893—61no—
169#892—31no—
170#892—61no—
171D3×C4⋊C4—31no—
172D3×C4⋊C4—61no—
173D3×C4⋊C4C2×D311yescharacteristic
174#888—31no—
175#888—31no—
176#888—31no—
177#888—31no—
178#888—31no—
179#888—61no—
180#888—61no—
181#888—61no—
182#888—61no—
183#888C2×D311yescharacteristic
184C4×D12—31no—
185C4×D12—61no—
186C42×D3—31no—
187C42×D3—61no—
188#869—31no—
189C3×#106—31no—
190C3×#106—31no—
191C3×C4⋊C8—31no—
192C3×#103—21no—
193C3×#103—31no—
194C3×#103—31no—
195C3×#103C2×D311yescharacteristic
196C3×#103C2×D311yescharacteristic
197C3×#102—31no—
198C3×#102—31no—
199#835—31no—
200#835—31no—
201#835—61no—
202#835C2×D311yescharacteristic
203#835C2×D311yescharacteristic
204#832—31no—
205#832—31no—
206#821—31no—
207#821C2×D311yescharacteristic
208#818—31no—
209#818—31no—
210#818—31no—
211#818—31no—
212#818—61no—
213#817—31no—
214#817C2×D311yescharacteristic
215Dic3⋊C8—31no—
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220Dic3⋊C8—61no—
221Dic3⋊C8C2×D311yescharacteristic
222#809—31no—
223#809C2×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—
234C22×C3×D3—21no—
235C22×C3×D3C2×D411yescharacteristic
236C32×Q8—21no—
237C32×Q8C2×Q812yescomplemented
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245#634—42no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C3×D12—24no—
253C3×D12—21no—
254C3×D12C2×Q812yescomplemented
255C3×C4×D3—24no—
256C3×C4×D3—42no—
257C3×C4×D3C2×Q812yes—
258C3×C4×D3#4112yes—
259C3×Dic6—42no—
260#627—42no—
261#627—42no—
262D3×Dic3—22no—
263D3×Dic3—22no—
264D3×Dic3—42no—
265D3×Dic3—42no—
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—91no—
276#476—91no—
277#475—31no—
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—21no—
289C2×C3×Q8—61no—
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C22×C3×C4—31no—
295C22×C3×C4—61no—
296C22×C3×C4—61no—
297C22×Dic3—31no—
298C22×Dic3—31no—
299C22×Dic3—61no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302#239—22no—
303#239Dic614yescomplemented
304D3×Q8—124no—
305C2×D12—21no—
306C2×D12C22×D311yescharacteristic
307C2×C4×D3—21no—
308C2×C4×D3—21no—
309C2×C4×D3—31no—
310C2×C4×D3—31no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
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—
324C3×M16—62no—
325C2×C3×C8—21no—
326C2×C3×C8—31no—
327C2×C3×C8—31no—
328C2×C3×C8C22×D311yescharacteristic
329C2×C3×C8C22×D311yescharacteristic
330C3×C4⋊C4—21no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C42—31no—
340C3×C42—61no—
341#217—61no—
342#217—61no—
343#217—61no—
344(C2×D3)⋊C4—61no—
345(C2×D3)⋊C4—61no—
346(C2×D3)⋊C4—61no—
347C4⋊Dic3—21no—
348C4⋊Dic3—31no—
349C4⋊Dic3—31no—
350C4⋊Dic3—31no—
351C4⋊Dic3—31no—
352C4⋊Dic3—61no—
353C4⋊Dic3—61no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—121no—
359C4⋊Dic3C22×D311yescharacteristic
360C4⋊Dic3C22×D311yescharacteristic
361C4⋊Dic3C22×D311yescharacteristic
362Dic3⋊C4—21no—
363Dic3⋊C4—21no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—121no—
371C4×Dic3—21no—
372C4×Dic3—31no—
373C4×Dic3—31no—
374C4×Dic3—31no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—121no—
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—21no—
395C2×C3×D3—21no—
396C2×C3×D3—22no—
397C2×C3×D3—41no—
398C2×C3×D3—41no—
399C2×C3×D3C22⋊Q812yes—
400C32×C4—22no—
401C32×C4—41no—
402C32×C4C22×Q811yescharacteristic
403C32×C4C2×#4111yescharacteristic
404C3⋊Dic3—21no—
405C3⋊Dic3—41no—
406C3⋊Dic3—41no—
407C3⋊Dic3#13712yes—
408C3×Dic3—21no—
409C3×Dic3—41no—
410C3×Dic3—41no—
411C3×Dic3—41no—
412C3×Dic3C22⋊Q812yes—
413C3×Dic3AGL(1,ℤ/8)12yes—
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—31no—
425C4×Q8—91no—
426C4×D4—91no—
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#103D3211yescharacteristic
453#102—31no—
454#102—31no—
455#102—91no—
456#102—91no—
457C23×C3—31no—
458C23×C3—61no—
459C22×D3—21no—
460C22×D3D3×D411yescharacteristic
461C3×Q8—21no—
462C3×Q8—21no—
463C3×Q8—22no—
464C3×Q8—41no—
465C3×Q8—122no—
466C3×Q8C2×Dic612yescomplemented
467C3×Q8D3×Q812yescomplemented
468C3×D4—32no—
469C3×D4—64no—
470C3×D4—61no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—31no—
477C2×C3×C4—31no—
478C2×C3×C4—32no—
479C2×C3×C4—32no—
480C2×C3×C4—31no—
481C2×C3×C4—41no—
482C2×C3×C4—41no—
483C2×C3×C4—64no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—122no—
488C2×C3×C4C23×D311yescharacteristic
489C2×C3×C4C23×D311yescharacteristic
490C2×Dic3—21no—
491C2×Dic3—21no—
492C2×Dic3—21no—
493C2×Dic3—31no—
494C2×Dic3—31no—
495C2×Dic3—31no—
496C2×Dic3—31no—
497C2×Dic3—61no—
498C2×Dic3—61no—
499C2×Dic3—62no—
500C2×Dic3—62no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—121no—
506C2×Dic3—121no—
507C2×Dic3—122no—
508C2×Dic3—122no—
509C2×Dic3—122no—
510C2×Dic3D3×D411yescharacteristic
511C2×Dic3D3×D411yescharacteristic
512C2×Dic3D3×D411yescharacteristic
513D12—24no—
514D12—21no—
515D12C2×Dic612yescomplemented
516C4×D3—24no—
517C4×D3—42no—
518C4×D3—62no—
519C4×D3—62no—
520C4×D3—122no—
521C4×D3—122no—
522C4×D3—122no—
523C4×D3C2×Dic612yes—
524C4×D3#23712yes—
525Dic6—42no—
526Dic6—122no—
527Dic6—122no—
528Dic6—122no—
529Dic6—122no—
530Dic6—122no—
531Dic6—122no—
532Dic6—242no—
533C3×C8—21no—
534C3×C8—21no—
535C3×C8—41no—
536C3×C8—61no—
537C3×C8—61no—
538C3⋊C8—21no—
539C3⋊C8—21no—
540C3⋊C8—61no—
541C3⋊C8—61no—
542C3⋊C8—121no—
543C2×C32C2×C22⋊Q811yescharacteristic
544C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
545C2×C32C2×#13711yescharacteristic
546C3×D3—22no—
547C3×D3—42no—
548#41—34no—
549#41—62no—
550C2×Q8—61no—
551C2×Q8—181no—
552C2×Q8—181no—
553C2×Q8—181no—
554C2×Q8—364no—
555C2×Q8C2×D3211yescharacteristic
556C2×D4—31no—
557C2×D4—61no—
558C22×C4—31no—
559C22×C4—61no—
560C22×C4—61no—
561C22×C4—91no—
562C22×C4—91no—
563C22×C4—181no—
564C22×C4—181no—
565C22×C4—181no—
566M16—62no—
567M16—182no—
568C2×C8—31no—
569C2×C8—31no—
570C2×C8—91no—
571C2×C8C2×D3211yescharacteristic
572C4⋊C4—31no—
573C4⋊C4—31no—
574C4⋊C4—31no—
575C4⋊C4—61no—
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⋊C4C2×D3211yescharacteristic
586C22⋊C4—181no—
587C22⋊C4—181no—
588C22⋊C4—181no—
589C42—31no—
590C42—61no—
591C42—91no—
592C42—91no—
593C42—91no—
594C42—181no—
595C42—181no—
596C22×C3—21no—
597C22×C3—32no—
598C22×C3—61no—
599C22×C3—61no—
600C22×C3—62no—
601C22×C3—121no—
602C22×C3—121no—
603C22×C3C2×D3×D411yescharacteristic
604C22×C3C2×D3×D411yescharacteristic
605C2×D3—21no—
606C2×D3—21no—
607C2×D3—22no—
608C2×D3—41no—
609C2×D3—41no—
610C2×D3#87812yes—
611C3×C4—22no—
612C3×C4—22no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—32no—
616C3×C4—32no—
617C3×C4—42no—
618C3×C4—41no—
619C3×C4—41no—
620C3×C4—61no—
621C3×C4—81no—
622C3×C4—121no—
623C3×C4—121no—
624C3×C4—121no—
625C3×C4C22×Dic611yescharacteristic
626C3×C4C2×#23711yescharacteristic
627C3×C4C2×D3×Q811yescharacteristic
628C3×C4D3×#4111yescharacteristic
629Dic3—21no—
630Dic3—32no—
631Dic3—32no—
632Dic3—41no—
633Dic3—41no—
634Dic3—41no—
635Dic3—62no—
636Dic3—61no—
637Dic3—61no—
638Dic3—121no—
639Dic3—121no—
640Dic3—121no—
641Dic3—121no—
642Dic3—121no—
643Dic3—241no—
644Dic3—241no—
645Dic3#87812yes—
646Dic3#91412yes—
647C32#307911yescharacteristic, complemented, Sylow
648C23—31no—
649C23—61no—
650Q8—21no—
651Q8—122no—
652Q8—362no—
653Q8—362no—
654Q8—362no—
655Q8D3×Dic612yescomplemented
656D4—32no—
657D4—64no—
658D4—61no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—31no—
662C2×C4—31no—
663C2×C4—32no—
664C2×C4—32no—
665C2×C4—31no—
666C2×C4—64no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—91no—
671C2×C4—91no—
672C2×C4—122no—
673C2×C4—182no—
674C2×C4—182no—
675C2×C4—181no—
676C2×C4—181no—
677C2×C4—362no—
678C2×C4—362no—
679C2×C4—362no—
680C2×C4C22×D3211yescharacteristic
681C8—21no—
682C8—61no—
683C8—61no—
684C8—181no—
685C2×C3—21no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—62no—
689C2×C3—122no—
690C2×C3C2×#87811yescharacteristic
691C2×C3D3×C22⋊Q811yescharacteristic
692C2×C3C2×#91411yescharacteristic
693C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
694C2×C3D3×#13711yescharacteristic
695C2×C3D3×#13711yescharacteristic
696D3—22no—
697D3—42no—
698C22—32no—
699C22—61no—
700C22—61no—
701C22—62no—
702C22—121no—
703C22—121no—
704C22D32×D411yescharacteristic
705C4—22no—
706C4—32no—
707C4—32no—
708C4—41no—
709C4—61no—
710C4—92no—
711C4—121no—
712C4—121no—
713C4—121no—
714C4—181no—
715C4—361no—
716C4—361no—
717C4C2×D3×Dic611yescharacteristic
718C4D3×#23711yescharacteristic
719C3—21no—
720C3#7887011yescharacteristic, complemented
721C3#8101211yescharacteristic, complemented
722C2—62no—
723C2—122no—
724C2D3×#87811yescharacteristic
725C2D3×#91411yescharacteristic
726C2#1059476011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×C3×#239C22
hypercenter#103D32
hypocenterC32#3079
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
2. D3×#888C2semidirect
3. #10592492C2semidirect
5. C3×#4791C2semidirect
6. #10591631C2semidirect
8. #10591544C2semidirect
9. #10590776C2semidirect
10. #10590762C2semidirect
11. #10590681C2semidirect
12. #10590663C2semidirect
13. #10590581C2semidirect
14. #10590472C2semidirect
15. #10590463C2semidirect
87. #4791D3semidirect
95. C3×#239Q8semidirect
237. C32×Q8C2×Q8semidirect
254. C3×D12C2×Q8semidirect
303. #239Dic6semidirect
466. C3×Q8C2×Dic6semidirect
467. C3×Q8D3×Q8semidirect
515. D12C2×Dic6semidirect
647. C32#3079semidirect
655. Q8D3×Dic6semidirect
720. C3#78870semidirect
721. C3#81012semidirect

Maximal subgroups

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

subgroupindex
Dic3×#2392
D3×#8882
#105924922
C3×#48032
C3×#47912
#105916312
#105915502
#105915442
#105907762
#105907622
#105906812
#105906632
#105905812
#105904722
#105904632
#810123
#788703