Finite Group Databasebeta

← #11897543

Subgroups — #11897543

Order 1152.

799 conjugacy classes of subgroups.

The subgroup lattice has 707 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D4×Dic6C211yesmaximal, characteristic, complemented
2#10593929C211yesmaximal, characteristic, complemented
3#10592708C211yesmaximal, characteristic, complemented
4C3×#5014C211yesmaximal, characteristic
5#10591430C211yesmaximal, characteristic
6Dic3×#213C211yesmaximal, characteristic
7#10591411C211yesmaximal, characteristic, complemented
8#10591408C211yesmaximal, characteristic, complemented
9#10590465C211yesmaximal, characteristic, complemented
10#10590463C211yesmaximal, characteristic, complemented
11#10590421C211yesmaximal, characteristic, complemented
12#10590412C211yesmaximal, characteristic, complemented
13#10590305C211yesmaximal, characteristic, complemented
14#10590266C211yesmaximal, characteristic, complemented
15#10590251C211yesmaximal, characteristic, complemented
16#83564—31nomaximal
17#79855—31nomaximal
18C22×C3×Dic6—21no—
19C32×C4×D4C2211yescharacteristic
20#64079C2211yescharacteristic
21C3×D4×Dic3C2211yescharacteristic
22C3×D4×Dic3C2211yescharacteristic
23C2×C3×#213C2211yescharacteristic
24C3×#924—21no—
25C3×#888C2211yescharacteristic
26C3×#888C2211yescharacteristic
27C3×#878—21no—
28C3×#878—21no—
29C3×C4×D12C2211yescharacteristic
30C3×#869C2211yescharacteristic
31C3×C4×Dic6C2211yescharacteristic
32#63918C2211yescharacteristic
33#63899—21no—
34Dic3×D12C2211yescharacteristic
35Dic3×D12C2211yescharacteristic
36#63887—21no—
37D3×Dic3⋊C4—21no—
38#63869C2211yescharacteristic
39#63851—21no—
40#63659C2211yescharacteristic
41#63659C2211yescharacteristic
42#63635C2211yescharacteristic
43#63634C2211yescharacteristic
44C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
45C3×#832C2211yescharacteristic
46C3×#809C2211yescharacteristic
47C3×#808C2211yescharacteristic
48C3×#803C2211yescharacteristic
49#63575C2211yescharacteristic
50#63575C2211yescharacteristic
51#63574C2211yescharacteristic
52#63574C2211yescharacteristic
53#63573C2211yescharacteristic
54#63573C2211yescharacteristic
55Dic3⋊(C3⋊C8)C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×D4×Q8—31no—
62#5579—31no—
63#5539—31no—
64D4×Dic6D311yescharacteristic, complemented
65C3×#442—31no—
66#5152—31no—
67Dic3×D8—31no—
68#5087—31no—
69#5084—31no—
70#5084—31no—
71#5081—31no—
72#5081—31no—
73#5080—31no—
74#5024—31no—
75#5014—31no—
76#5014D311yescharacteristic
77C4×#213—31no—
78#5009—31no—
79#5009—31no—
80#5009—31no—
81#5009—61no—
82#5008—31no—
83#5008—31no—
84#4856—31no—
85#4855—31no—
86#4766—31no—
87#4761—31no—
88#4761—31no—
89#4759—31no—
90#4702—31no—
91#4701—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C22×C3×Dic3—21no—
95C22×C3×Dic3—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×Dic6—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6—21no—
101C2×C3×Dic6—44no—
102C2×C3×Dic6D411yescharacteristic
103C2×#627—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C32×C4⋊C4C2311yescharacteristic
107C32×C22⋊C4—21no—
108C32×C42C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111#3750—21no—
112#3750—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×#217—21no—
116C3×#217—21no—
117C3×#213Q814yescomplemented
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4D411yescharacteristic
127C3×Dic3⋊C4D411yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C3×C4×Dic3C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137#3384—91noSylow
138C22×C3×Q8—61no—
139C22×Dic6—21no—
140C2×C3×D8—31no—
141C3×C4⋊Q8—31no—
142C3×C4⋊Q8—31no—
143C3×C4⋊Q8—31no—
144C3×C22⋊Q8—61no—
145C3×C22⋊Q8—61no—
146C3×C22⋊Q8—61no—
147C3×C4×Q8—31no—
148C3×C4×D4—21no—
149C3×C4×D4—31no—
150C3×C4×D4—31no—
151C3×C4×D4—31no—
152C3×C4×D4C2×D311yescharacteristic
153C3×C4×D4C2×D311yescharacteristic
154#946—61no—
155D4×Dic3—31no—
156D4×Dic3—31no—
157D4×Dic3C2×D311yescharacteristic
158D4×Dic3C2×D311yescharacteristic
159C2×#213C2×D311yescharacteristic
160#924—21no—
161#924—61no—
162C2×Dic3⋊C4—61no—
163#896—61no—
164#896—61no—
165D3×C4⋊C4—61no—
166#890—31no—
167#888—31no—
168#888C2×D311yescharacteristic
169#888C2×D311yescharacteristic
170#878—21no—
171#878—21no—
172#878—61no—
173#878—61no—
174C4×D12—31no—
175C4×D12—31no—
176C4×D12C2×D311yescharacteristic
177#870—31no—
178#870—31no—
179#870—31no—
180#870—61no—
181#869—31no—
182#869C2×D311yescharacteristic
183C4×Dic6C2×D311yescharacteristic
184C3×#106—31no—
185C3×#102—31no—
186C3×#102—31no—
187C3×#97—31no—
188#832—31no—
189#832—31no—
190#832—31no—
191#832—31no—
192#832—31no—
193#832—31no—
194#832—61no—
195#832—61no—
196#832C2×D311yescharacteristic
197#818—31no—
198#818—31no—
199#817—31no—
200#817—31no—
201#815—31no—
202Dic3⋊C8—31no—
203Dic3⋊C8—31no—
204C8×Dic3—31no—
205#809—31no—
206#809—31no—
207#809C2×D311yescharacteristic
208#808—31no—
209#808—31no—
210#808—31no—
211#808—31no—
212#808—31no—
213#808—31no—
214#808—31no—
215#808—31no—
216#808—61no—
217#808C2×D311yescharacteristic
218#807—31no—
219#807—31no—
220#807—31no—
221#807—31no—
222#807—61no—
223C4⋊(C3⋊C8)—31no—
224C4⋊(C3⋊C8)—31no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)—61no—
228#803—31no—
229#803C2×D311yescharacteristic
230C4×C3⋊C8—31no—
231C23×C32—21no—
232C22×C3×D3—21no—
233C32×D4—21no—
234C32×D4C2×Q812yes—
235C2×C32×C4—21no—
236C2×C32×C4—42no—
237C2×C32×C4C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2411yescharacteristic
240C2×C3⋊Dic3—21no—
241C2×C3⋊Dic3—21no—
242C2×C3×Dic3—21no—
243C2×C3×Dic3—21no—
244C2×C3×Dic3—21no—
245C2×C3×Dic3—42no—
246C2×C3×Dic3—42no—
247C2×C3×Dic3C2×D411yescharacteristic
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C3×D12—21no—
252C3×D12C2×Q812yescomplemented
253C3×C4×D3—81no—
254C3×Dic6—22no—
255C3×Dic6—42no—
256C3×Dic6—42no—
257C3×Dic6—42no—
258#627—81no—
259D3×Dic3—42no—
260D3×Dic3—81no—
261C3⋊(C3⋊C8)—21no—
262C3⋊(C3⋊C8)—21no—
263C3×C3⋊C8—21no—
264C3×C3⋊C8C2×Q812yescomplemented
265#554—91no—
266D4×Q8—31no—
267#501—91no—
268#501—91no—
269#498—91no—
270#478—91no—
271#478—91no—
272#476—91no—
273#476—91no—
274#476—91no—
275#474—91no—
276#446—91no—
277#442—31no—
278#442—91no—
279C4×D8—91no—
280C2×C3×Q8—31no—
281C2×C3×Q8—61no—
282C2×C3×Q8—61no—
283C2×C3×Q8—61no—
284C2×C3×Q8—124no—
285C2×C3×D4—21no—
286C2×C3×D4—31no—
287C2×C3×D4C22×D311yescharacteristic
288C2×C3×D4C22×D311yescharacteristic
289C22×C3×C4—21no—
290C22×C3×C4—21no—
291C22×C3×C4—41no—
292C22×C3×C4—61no—
293C22×C3×C4—61no—
294C22×C3×C4—61no—
295C22×Dic3—21no—
296C22×Dic3—21no—
297C22×Dic3—61no—
298C22×Dic3—61no—
299C2×D12C22×D311yescharacteristic
300C2×C4×D3—21no—
301C2×C4×D3—61no—
302C2×C4×D3—61no—
303C2×Dic6—21no—
304C2×Dic6—21no—
305C2×Dic6—21no—
306C2×Dic6—44no—
307C2×Dic6—61no—
308C2×Dic6—61no—
309C2×Dic6#6711yescharacteristic
310C3×D8—34no—
311C2×C3×C8—31no—
312C2×C3×C8—31no—
313C3×C4⋊C4—21no—
314C3×C4⋊C4—31no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4C22×D311yescharacteristic
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C22⋊C4—21no—
326C3×C22⋊C4—21no—
327C3×C22⋊C4—41no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C42—21no—
332C3×C42—31no—
333C3×C42—31no—
334C3×C42C22×D311yescharacteristic
335C3×C42C22×D311yescharacteristic
336#217—21no—
337#217—21no—
338#217—61no—
339#217—61no—
340#213Dic614yescomplemented
341(C2×D3)⋊C4—21no—
342(C2×D3)⋊C4—61no—
343(C2×D3)⋊C4—61no—
344C4⋊Dic3—21no—
345C4⋊Dic3—31no—
346C4⋊Dic3—31no—
347C4⋊Dic3—31no—
348C4⋊Dic3—31no—
349C4⋊Dic3—61no—
350C4⋊Dic3—61no—
351C4⋊Dic3—61no—
352C4⋊Dic3—61no—
353C4⋊Dic3#6711yescharacteristic
354C4⋊Dic3C22×D311yescharacteristic
355C4⋊Dic3C22×D311yescharacteristic
356C4⋊Dic3C22×D311yescharacteristic
357Dic3⋊C4—21no—
358Dic3⋊C4—21no—
359Dic3⋊C4—61no—
360Dic3⋊C4—61no—
361Dic3⋊C4—61no—
362Dic3⋊C4—61no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—121no—
368Dic3⋊C4—121no—
369Dic3⋊C4#6711yescharacteristic
370Dic3⋊C4#6711yescharacteristic
371C4×Dic3C22×D311yescharacteristic
372C4×Dic3C22×D311yescharacteristic
373C2×C3⋊C8—31no—
374C2×C3⋊C8—31no—
375C2×C3⋊C8—31no—
376C2×C3⋊C8—31no—
377C2×C3⋊C8—61no—
378C2×C3⋊C8—61no—
379C2×C3⋊C8C22×D311yescharacteristic
380C2×C3⋊C8C22×D311yescharacteristic
381C22×C32—22no—
382C22×C32—41no—
383C22×C32—41no—
384C22×C32C22×D411yescharacteristic
385C2×C3×D3—22no—
386C2×C3×D3—41no—
387C2×C3×D3—41no—
388C32×C4—21no—
389C32×C4—21no—
390C32×C4—41no—
391C32×C4C22×Q811yescharacteristic
392C32×C42−1+411yescharacteristic
393C3⋊Dic3—41no—
394C3⋊Dic3—41no—
395C3×Dic3—21no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—41no—
399C3×Dic3—41no—
400C3×Dic3—41no—
401C3×Dic3AGL(1,ℤ/8)12yes—
402C22×Q8—61no—
403C2×D8—31no—
404C4⋊Q8—31no—
405C4⋊Q8—31no—
406C4⋊Q8—31no—
407C4⋊Q8—91no—
408#125—91no—
409#125—91no—
410C22⋊Q8—61no—
411C22⋊Q8—61no—
412C22⋊Q8—61no—
413C22⋊Q8—181no—
414C22⋊Q8—181no—
415C22⋊Q8—181no—
416C4×Q8—31no—
417C4×D4—31no—
418C4×D4—31no—
419C4×D4—31no—
420C4×D4—91no—
421C4×D4—91no—
422C4×D4D3211yescharacteristic
423C2×C4⋊C4—181no—
424#107—91no—
425#107—91no—
426#107—91no—
427#106—31no—
428#106—91no—
429#106—91no—
430#106—91no—
431#106—91no—
432#106—91no—
433C4⋊C8—91no—
434C4⋊C8—91no—
435C4⋊C8—91no—
436#102—31no—
437#102—31no—
438#102—91no—
439#102—91no—
440#102—91no—
441#102—91no—
442#97—31no—
443#97—91no—
444C4×C8—91no—
445C23×C3—21no—
446C23×C3—21no—
447C23×C3—41no—
448C23×C3—61no—
449C22×D3—21no—
450C3×Q8—62no—
451C3×Q8—122no—
452C3×Q8—122no—
453C3×Q8—122no—
454C3×D4—21no—
455C3×D4—21no—
456C3×D4—22no—
457C3×D4—32no—
458C3×D4—41no—
459C3×D4—61no—
460C3×D4C2×Dic612yes—
461C3×D4D3×Q812yes—
462C2×C3×C4—21no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—31no—
468C2×C3×C4—31no—
469C2×C3×C4—31no—
470C2×C3×C4—31no—
471C2×C3×C4—41no—
472C2×C3×C4—42no—
473C2×C3×C4—42no—
474C2×C3×C4—61no—
475C2×C3×C4—61no—
476C2×C3×C4—61no—
477C2×C3×C4—82no—
478C2×C3×C4—122no—
479C2×C3×C4—122no—
480C2×C3×C4—241no—
481C2×C3×C4D3×D411yescharacteristic
482C2×C3×C4D3×D411yescharacteristic
483C2×C3×C4C2×#6711yescharacteristic
484C2×C3×C4C2×#6711yescharacteristic
485C2×C3×C4C23×D311yescharacteristic
486C2×C3×C4C23×D311yescharacteristic
487C2×Dic3—21no—
488C2×Dic3—21no—
489C2×Dic3—21no—
490C2×Dic3—42no—
491C2×Dic3—42no—
492C2×Dic3—61no—
493C2×Dic3—61no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—121no—
497C2×Dic3—121no—
498C2×Dic3—122no—
499C2×Dic3—241no—
500C2×Dic3C2×#6711yescharacteristic
501C2×Dic3C2×#6711yescharacteristic
502C2×Dic3C2×#6711yescharacteristic
503C2×Dic3C2×#6711yescharacteristic
504D12—21no—
505D12C2×Dic612yescomplemented
506C4×D3—81no—
507C4×D3—122no—
508C4×D3—241no—
509Dic6—22no—
510Dic6—42no—
511Dic6—42no—
512Dic6—42no—
513Dic6—241no—
514Dic6—241no—
515C3×C8—32no—
516C3×C8—61no—
517C3⋊C8—21no—
518C3⋊C8—61no—
519C3⋊C8—61no—
520C3⋊C8—61no—
521C3⋊C8—61no—
522C3⋊C8—121no—
523C3⋊C8—121no—
524C3⋊C8C2×Dic612yescomplemented
525C2×C32—42no—
526C2×C32D4×Q811yescharacteristic
527C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
528C2×C32#57711yescharacteristic
529C3×D3—42no—
530C2×Q8—31no—
531C2×Q8—61no—
532C2×Q8—61no—
533C2×Q8—61no—
534C2×Q8—124no—
535C2×Q8—181no—
536C2×D4—31no—
537C2×D4C2×D3211yescharacteristic
538C22×C4—21no—
539C22×C4—61no—
540C22×C4—61no—
541C22×C4—61no—
542C22×C4—181no—
543C22×C4—181no—
544D8—34no—
545C2×C8—31no—
546C2×C8—31no—
547C2×C8—91no—
548C2×C8—91no—
549C4⋊C4—31no—
550C4⋊C4—31no—
551C4⋊C4—31no—
552C4⋊C4—31no—
553C4⋊C4—31no—
554C4⋊C4—31no—
555C4⋊C4—61no—
556C4⋊C4—61no—
557C4⋊C4—61no—
558C4⋊C4—91no—
559C4⋊C4—91no—
560C4⋊C4—181no—
561C4⋊C4—181no—
562C4⋊C4—181no—
563C4⋊C4—181no—
564C4⋊C4—181no—
565C4⋊C4C2×D3211yescharacteristic
566C22⋊C4—21no—
567C22⋊C4—61no—
568C22⋊C4—61no—
569C22⋊C4—61no—
570C22⋊C4—181no—
571C22⋊C4—181no—
572C42—31no—
573C42—31no—
574C42C2×D3211yescharacteristic
575C22×C3—22no—
576C22×C3—22no—
577C22×C3—21no—
578C22×C3—42no—
579C22×C3—41no—
580C22×C3—41no—
581C22×C3—41no—
582C22×C3—41no—
583C22×C3—62no—
584C22×C3—81no—
585C22×C3—81no—
586C22×C3—121no—
587C22×C3—121no—
588C22×C3C2×D3×D411yescharacteristic
589C22×C3C22×#6711yescharacteristic
590C2×D3—22no—
591C2×D3—41no—
592C2×D3—41no—
593C3×C4—21no—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—21no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—32no—
600C3×C4—41no—
601C3×C4—41no—
602C3×C4—41no—
603C3×C4—41no—
604C3×C4—61no—
605C3×C4—61no—
606C3×C4—61no—
607C3×C4—81no—
608C3×C4—121no—
609C3×C4—121no—
610C3×C4—121no—
611C3×C4C22×Dic611yescharacteristic
612C3×C4C2×D3×Q811yescharacteristic
613C3×C4#100711yescharacteristic
614C3×C4#101011yescharacteristic
615Dic3—21no—
616Dic3—21no—
617Dic3—21no—
618Dic3—41no—
619Dic3—41no—
620Dic3—41no—
621Dic3—121no—
622Dic3—121no—
623Dic3—121no—
624Dic3—121no—
625Dic3—241no—
626Dic3—241no—
627Dic3#93212yes—
628C32#338411yescharacteristic, complemented, Sylow
629C23—21no—
630C23—61no—
631Q8—62no—
632Q8—122no—
633Q8—122no—
634Q8—122no—
635Q8—721no—
636D4—21no—
637D4—32no—
638D4—61no—
639D4D3×Dic612yes—
640C2×C4—21no—
641C2×C4—31no—
642C2×C4—31no—
643C2×C4—31no—
644C2×C4—31no—
645C2×C4—42no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—122no—
650C2×C4—122no—
651C2×C4—181no—
652C2×C4—181no—
653C2×C4—241no—
654C2×C4—362no—
655C2×C4—721no—
656C2×C4D3×#6711yescharacteristic
657C2×C4D3×#6711yescharacteristic
658C2×C4C22×D3211yescharacteristic
659C8—32no—
660C8—61no—
661C8—181no—
662C8—181no—
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—42no—
667C2×C3—42no—
668C2×C3—82no—
669C2×C3—122no—
670C2×C3D4×Dic611yescharacteristic
671C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
672C2×C3#577511yescharacteristic
673C2×C3C2×#93211yescharacteristic
674C2×C3Q8×#6711yescharacteristic
675C2×C3#583711yescharacteristic
676D3—42no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—62no—
681C22—121no—
682C22—121no—
683C22C2×D3×#6711yescharacteristic
684C4—21no—
685C4—21no—
686C4—32no—
687C4—41no—
688C4—61no—
689C4—61no—
690C4—61no—
691C4—121no—
692C4—121no—
693C4—121no—
694C4—361no—
695C4—361no—
696C4C2×D3×Dic611yescharacteristic
697C4#6429711yescharacteristic
698C3—21no—
699C3#7985511yescharacteristic, complemented
700C3#8356411yescharacteristic, complemented
701C2—42no—
702C2—122no—
703C2Dic6×#6711yescharacteristic
704C2D3×#93211yescharacteristic
705C2#1059545511yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
prime radicalC2×C3×#213C22
hypercenterC4×D4D32
hypocenterC32#3384
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C3×D4×Dic6C2semidirect
2. #10593929C2semidirect
3. #10592708C2semidirect
7. #10591411C2semidirect
8. #10591408C2semidirect
9. #10590465C2semidirect
10. #10590463C2semidirect
11. #10590421C2semidirect
12. #10590412C2semidirect
13. #10590305C2semidirect
14. #10590266C2semidirect
15. #10590251C2semidirect
64. D4×Dic6D3semidirect
117. C3×#213Q8semidirect
252. C3×D12C2×Q8semidirect
264. C3×C3⋊C8C2×Q8semidirect
340. #213Dic6semidirect
505. D12C2×Dic6semidirect
524. C3⋊C8C2×Dic6semidirect
628. C32#3384semidirect
699. C3#79855semidirect
700. C3#83564semidirect

Maximal subgroups

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

subgroupindex
C3×D4×Dic62
#105939292
#105927082
C3×#50142
#105914302
Dic3×#2132
#105914112
#105914082
#105904652
#105904632
#105904212
#105904122
#105903052
#105902662
#105902512
#835643
#798553