Finite Group Databasebeta

← #11895856

Subgroups — #11895856

Order 1152.

804 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D4×Dic6C211yesmaximal, characteristic, complemented
2#10593932C211yesmaximal, characteristic, complemented
3#10592717C211yesmaximal, characteristic, complemented
4C3×#5016C211yesmaximal, characteristic
5#10591489C211yesmaximal, characteristic, complemented
6#10591468C211yesmaximal, characteristic
7#10591440C211yesmaximal, characteristic, complemented
8Dic3×#213C211yesmaximal, characteristic
9#10590560C211yesmaximal, characteristic, complemented
10#10590531C211yesmaximal, characteristic, complemented
11#10590489C211yesmaximal, characteristic, complemented
12#10590463C211yesmaximal, characteristic, complemented
13#10590284C211yesmaximal, characteristic, complemented
14#10590280C211yesmaximal, characteristic, complemented
15#10590252C211yesmaximal, characteristic, complemented
16#83563—31nomaximal
17#80518—31nomaximal
18C22×C3×Dic6—21no—
19C32×C4×D4C2211yescharacteristic
20C2×#3754C2211yescharacteristic
21C4×#634C2211yescharacteristic
22C3×D4×Dic3C2211yescharacteristic
23C3×D4×Dic3C2211yescharacteristic
24C2×C3×#214C2211yescharacteristic
25C2×C3×#213C2211yescharacteristic
26C3×#924—21no—
27C3×#888C2211yescharacteristic
28C3×#888C2211yescharacteristic
29C3×#878—21no—
30C3×#878—21no—
31C3×#875C2211yescharacteristic
32C3×#869C2211yescharacteristic
33C3×C4×Dic6C2211yescharacteristic
34Dic3×D12C2211yescharacteristic
35#63887—21no—
36#63878—21no—
37#63866C2211yescharacteristic
38#63862—21no—
39#63860C2211yescharacteristic
40#63858—21no—
41Dic3×Dic6C2211yescharacteristic
42#63659C2211yescharacteristic
43#63637C2211yescharacteristic
44#63634C2211yescharacteristic
45#63630C2211yescharacteristic
46C3×#810C2211yescharacteristic
47C3×#809C2211yescharacteristic
48C3×C4⋊(C3⋊C8)C2211yescharacteristic
49#63575C2211yescharacteristic
50#63575C2211yescharacteristic
51Dic3⋊(C3⋊C8)C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63567C2211yescharacteristic
54#63567C2211yescharacteristic
55#63565C2211yescharacteristic
56#63565C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×D4×Q8—31no—
62#5671—31no—
63#5584—31no—
64D4×Dic6D311yescharacteristic, complemented
65C3×#463—31no—
66#5164—31no—
67#5162—31no—
68#5153—31no—
69Dic3×D8—31no—
70#5093—31no—
71#5091—31no—
72#5091—31no—
73#5089—31no—
74#5089—31no—
75#5087—31no—
76#5055—31no—
77#5024—31no—
78#5019—31no—
79#5018—31no—
80#5018—31no—
81#5018—31no—
82#5018—61no—
83#5016—31no—
84#5016D311yescharacteristic
85C4×#213—31no—
86#4850—31no—
87#4828—31no—
88#4793—31no—
89#4792—31no—
90#4765—31no—
91#4759—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C2×#634C2311yescharacteristic
95C22×C3×Dic3—21no—
96C22×C3×Dic3—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×Dic6—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6—21no—
101C2×C3×Dic6—44no—
102C2×C3×Dic6D411yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×D3×Dic3—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C22⋊C4—21no—
107C32×C42C2311yescharacteristic
108#3754—22no—
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110#3750—21no—
111C4×C3⋊Dic3—21no—
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×#217—21no—
116C3×#214—22no—
117C3×#213—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3D411yescharacteristic
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
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3367—91noSylow
140C22×C3×Q8—61no—
141C22×Dic6—21no—
142C2×C3×SD16—31no—
143C2×C3×D8—31no—
144C3×C4⋊Q8—31no—
145C3×C4⋊Q8—31no—
146C3×C4⋊Q8—31no—
147C3×#124—31no—
148C3×C22⋊Q8—61no—
149C3×C22⋊Q8—61no—
150C3×C22⋊Q8—61no—
151C3×C4×Q8—31no—
152C3×C4×D4—21no—
153C3×C4×D4—31no—
154C3×C4×D4—31no—
155C3×C4×D4C2×D311yescharacteristic
156C3×C4×D4C2×D311yescharacteristic
157#946—61no—
158Q8×Dic3—31no—
159#944—31no—
160#936—31no—
161D4×Dic3—31no—
162D4×Dic3C2×D311yescharacteristic
163D4×Dic3C2×D311yescharacteristic
164C2×#214—31no—
165C2×#214—31no—
166C2×#214—61no—
167C2×#214C2×D311yescharacteristic
168C2×#213C2×D311yescharacteristic
169#924—21no—
170#898—61no—
171#898—61no—
172#892—61no—
173#888C2×D311yescharacteristic
174#888C2×D311yescharacteristic
175#879—61no—
176#879—61no—
177#878—21no—
178#878—21no—
179#878—61no—
180#877—61no—
181#875—31no—
182#875C2×D311yescharacteristic
183C4×D12—31no—
184#869—31no—
185#869C2×D311yescharacteristic
186C4×Dic6—31no—
187C4×Dic6—31no—
188C4×Dic6—31no—
189C4×Dic6—61no—
190C4×Dic6C2×D311yescharacteristic
191C3×C4⋊C8—31no—
192C3×#103—31no—
193C3×#102—31no—
194#835—31no—
195#835—31no—
196#832—31no—
197#832—31no—
198#832—31no—
199#832—31no—
200#832—61no—
201#818—31no—
202#818—31no—
203#816—31no—
204#816—31no—
205#815—31no—
206Dic3⋊C8—31no—
207Dic3⋊C8—31no—
208C8×Dic3—31no—
209#810—31no—
210#810—31no—
211#810—31no—
212#810—31no—
213#810—31no—
214#810—31no—
215#810—61no—
216#810C2×D311yescharacteristic
217#809—31no—
218#809—31no—
219#809C2×D311yescharacteristic
220#807—31no—
221#807—31no—
222#807—31no—
223#807—31no—
224#807—61no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)C2×D311yescharacteristic
228#803—31no—
229#803—31no—
230#803—31no—
231#803—61no—
232C4×C3⋊C8—31no—
233C23×C32—21no—
234C22×C3×D3—21no—
235C32×D4—21no—
236C32×D4#4112yes—
237C2×C32×C4—21no—
238C2×C32×C4—42no—
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244#634—21no—
245#634—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—42no—
250C2×C3×Dic3—42no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12—21no—
257C3×Dic6—22no—
258C3×Dic6—21no—
259C3×Dic6—21no—
260C3×Dic6—42no—
261C3×Dic6—42no—
262C3×Dic6—42no—
263D3×Dic3—42no—
264C3⋊(C3⋊C8)—21no—
265C3⋊(C3⋊C8)—21no—
266C3×C3⋊C8—21no—
267C3×C3⋊C8—21no—
268#556—91no—
269D4×Q8—31no—
270#489—91no—
271#489—91no—
272#487—91no—
273#477—91no—
274#477—91no—
275#474—91no—
276#463—31no—
277#463—91no—
278#461—91no—
279#446—91no—
280#440—91no—
281#440—91no—
282C4×D8—91no—
283C2×C3×Q8—31no—
284C2×C3×Q8—31no—
285C2×C3×Q8—61no—
286C2×C3×Q8—61no—
287C2×C3×Q8—61no—
288C2×C3×Q8—124no—
289C2×C3×D4—21no—
290C2×C3×D4—31no—
291C2×C3×D4C22×D311yescharacteristic
292C2×C3×D4C22×D311yescharacteristic
293C22×C3×C4—21no—
294C22×C3×C4—21no—
295C22×C3×C4—41no—
296C22×C3×C4—61no—
297C22×C3×C4—61no—
298C22×Dic3—21no—
299C22×Dic3—21no—
300C22×Dic3—61no—
301C2×D12C22×D311yescharacteristic
302C2×C4×D3—61no—
303C2×Dic6—21no—
304C2×Dic6—21no—
305C2×Dic6—21no—
306C2×Dic6—31no—
307C2×Dic6—31no—
308C2×Dic6—44no—
309C2×Dic6—61no—
310C2×Dic6#6711yescharacteristic
311C2×Dic6C22×D311yescharacteristic
312C3×SD16—62no—
313C3×D8—62no—
314C2×C3×C8—31no—
315C2×C3×C8—31no—
316C3×C4⋊C4—21no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4C22×D311yescharacteristic
326C3×C4⋊C4C22×D311yescharacteristic
327C3×C22⋊C4—21no—
328C3×C22⋊C4—21no—
329C3×C22⋊C4—41no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C42—21no—
335C3×C42—31no—
336C3×C42—31no—
337C3×C42C22×D311yescharacteristic
338C3×C42C22×D311yescharacteristic
339#217—21no—
340#217—21no—
341#217—61no—
342#217—61no—
343#217—61no—
344#214—22no—
345#214—64no—
346#214—62no—
347#214—62no—
348#213—22no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354C4⋊Dic3—21no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3#6711yescharacteristic
362C4⋊Dic3C22×D311yescharacteristic
363C4⋊Dic3C22×D311yescharacteristic
364Dic3⋊C4—21no—
365Dic3⋊C4—21no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—121no—
372Dic3⋊C4#6711yescharacteristic
373Dic3⋊C4#6711yescharacteristic
374C4×Dic3—61no—
375C4×Dic3—61no—
376C4×Dic3—61no—
377C4×Dic3—61no—
378C4×Dic3—121no—
379C4×Dic3C22×D311yescharacteristic
380C4×Dic3C22×D311yescharacteristic
381C2×C3⋊C8—31no—
382C2×C3⋊C8—31no—
383C2×C3⋊C8—31no—
384C2×C3⋊C8—31no—
385C2×C3⋊C8—61no—
386C2×C3⋊C8—61no—
387C2×C3⋊C8C22×D311yescharacteristic
388C2×C3⋊C8C22×D311yescharacteristic
389C22×C32—22no—
390C22×C32—41no—
391C22×C32—41no—
392C22×C32C22×D411yescharacteristic
393C2×C3×D3—41no—
394C2×C3×D3—41no—
395C2×C3×D3—41no—
396C32×C4—21no—
397C32×C4—21no—
398C32×C4—41no—
399C32×C4C2×#4111yescharacteristic
400C32×C42−1+411yescharacteristic
401C3⋊Dic3—41no—
402C3⋊Dic3—41no—
403C3×Dic3—21no—
404C3×Dic3—21no—
405C3×Dic3—21no—
406C3×Dic3—41no—
407C3×Dic3—41no—
408C3×Dic3—41no—
409C3×Dic3AGL(1,ℤ/8)12yes—
410C22×Q8—61no—
411C2×SD16—31no—
412C2×SD16—91no—
413C2×D8—31no—
414C4⋊Q8—31no—
415C4⋊Q8—31no—
416C4⋊Q8—31no—
417C4⋊Q8—91no—
418#126—181no—
419#126—181no—
420#124—31no—
421#124—91no—
422C22⋊Q8—61no—
423C22⋊Q8—61no—
424C22⋊Q8—61no—
425C22⋊Q8—181no—
426C4×Q8—31no—
427C4×Q8—91no—
428C4×Q8—91no—
429C4×D4—31no—
430C4×D4—31no—
431C4×D4—91no—
432C4×D4D3211yescharacteristic
433#117—181no—
434#107—91no—
435#107—91no—
436#107—91no—
437C4⋊C8—31no—
438C4⋊C8—91no—
439C4⋊C8—91no—
440#103—31no—
441#103—91no—
442#103—91no—
443#103—91no—
444#103—91no—
445#103—91no—
446#102—31no—
447#102—91no—
448#102—91no—
449#102—91no—
450#97—91no—
451#97—91no—
452C4×C8—91no—
453C23×C3—21no—
454C23×C3—21no—
455C23×C3—41no—
456C23×C3—61no—
457C22×D3—21no—
458C3×Q8—62no—
459C3×Q8—61no—
460C3×Q8—61no—
461C3×Q8—122no—
462C3×Q8—122no—
463C3×Q8—122no—
464C3×D4—21no—
465C3×D4—21no—
466C3×D4—22no—
467C3×D4—41no—
468C3×D4—61no—
469C3×D4—61no—
470C3×D4#23712yes—
471C3×D4#23912yes—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—31no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—41no—
482C2×C3×C4—42no—
483C2×C3×C4—42no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—82no—
488C2×C3×C4—122no—
489C2×C3×C4—122no—
490C2×C3×C4D3×D411yescharacteristic
491C2×C3×C4D3×D411yescharacteristic
492C2×C3×C4C2×#6711yescharacteristic
493C2×C3×C4C2×#6711yescharacteristic
494C2×C3×C4C23×D311yescharacteristic
495C2×C3×C4C23×D311yescharacteristic
496C2×Dic3—21no—
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—42no—
500C2×Dic3—42no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—121no—
506C2×Dic3—121no—
507C2×Dic3—122no—
508C2×Dic3C2×#6711yescharacteristic
509C2×Dic3C2×#6711yescharacteristic
510C2×Dic3C2×#6711yescharacteristic
511C2×Dic3C2×#6711yescharacteristic
512D12—21no—
513D12—21no—
514C4×D3—122no—
515Dic6—22no—
516Dic6—21no—
517Dic6—21no—
518Dic6—42no—
519Dic6—42no—
520Dic6—42no—
521Dic6—62no—
522Dic6—61no—
523Dic6—61no—
524Dic6—61no—
525Dic6—61no—
526Dic6—121no—
527C3×C8—61no—
528C3×C8—61no—
529C3⋊C8—21no—
530C3⋊C8—21no—
531C3⋊C8—62no—
532C3⋊C8—61no—
533C3⋊C8—61no—
534C3⋊C8—61no—
535C3⋊C8—61no—
536C3⋊C8—121no—
537C2×C32—42no—
538C2×C32#54811yescharacteristic
539C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
540C2×C32#57811yescharacteristic
541C3×D3—81no—
542C2×Q8—31no—
543C2×Q8—31no—
544C2×Q8—61no—
545C2×Q8—61no—
546C2×Q8—61no—
547C2×Q8—91no—
548C2×Q8—124no—
549C2×D4—31no—
550C2×D4C2×D3211yescharacteristic
551C22×C4—21no—
552C22×C4—61no—
553C22×C4—61no—
554C22×C4—181no—
555SD16—62no—
556SD16—182no—
557D8—62no—
558C2×C8—31no—
559C2×C8—31no—
560C2×C8—91no—
561C2×C8—91no—
562C4⋊C4—31no—
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—31no—
566C4⋊C4—31no—
567C4⋊C4—61no—
568C4⋊C4—61no—
569C4⋊C4—61no—
570C4⋊C4—91no—
571C4⋊C4—181no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C4⋊C4C2×D3211yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—61no—
578C22⋊C4—61no—
579C22⋊C4—61no—
580C22⋊C4—61no—
581C22⋊C4—181no—
582C22⋊C4—181no—
583C22⋊C4—181no—
584C42—31no—
585C42—31no—
586C42—181no—
587C42—181no—
588C42C2×D3211yescharacteristic
589C22×C3—22no—
590C22×C3—22no—
591C22×C3—21no—
592C22×C3—42no—
593C22×C3—41no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3—81no—
598C22×C3—81no—
599C22×C3—121no—
600C22×C3—121no—
601C22×C3—121no—
602C22×C3C2×D3×D411yescharacteristic
603C22×C3C22×#6711yescharacteristic
604C2×D3—41no—
605C2×D3—41no—
606C2×D3—41no—
607C3×C4—21no—
608C3×C4—21no—
609C3×C4—21no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—32no—
614C3×C4—41no—
615C3×C4—41no—
616C3×C4—41no—
617C3×C4—41no—
618C3×C4—61no—
619C3×C4—61no—
620C3×C4—61no—
621C3×C4—81no—
622C3×C4—121no—
623C3×C4—121no—
624C3×C4—121no—
625C3×C4C2×#23711yescharacteristic
626C3×C4C2×#23911yescharacteristic
627C3×C4#100711yescharacteristic
628C3×C4#101011yescharacteristic
629Dic3—21no—
630Dic3—21no—
631Dic3—21no—
632Dic3—41no—
633Dic3—41no—
634Dic3—41no—
635Dic3—122no—
636Dic3—121no—
637Dic3—121no—
638Dic3—121no—
639Dic3—121no—
640Dic3—241no—
641Dic3#93212yes—
642C32#336711yescharacteristic, complemented, Sylow
643C23—21no—
644C23—61no—
645Q8—62no—
646Q8—61no—
647Q8—61no—
648Q8—122no—
649Q8—122no—
650Q8—122no—
651Q8—181no—
652Q8—181no—
653D4—21no—
654D4—61no—
655D4—61no—
656D4#379612yes—
657C2×C4—21no—
658C2×C4—31no—
659C2×C4—31no—
660C2×C4—31no—
661C2×C4—31no—
662C2×C4—42no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—122no—
667C2×C4—122no—
668C2×C4—181no—
669C2×C4—181no—
670C2×C4—362no—
671C2×C4D3×#6711yescharacteristic
672C2×C4D3×#6711yescharacteristic
673C2×C4C22×D3211yescharacteristic
674C8—61no—
675C8—61no—
676C8—181no—
677C8—181no—
678C2×C3—21no—
679C2×C3—21no—
680C2×C3—21no—
681C2×C3—42no—
682C2×C3—42no—
683C2×C3—82no—
684C2×C3—241no—
685C2×C3#559811yescharacteristic
686C2×C3#577111yescharacteristic
687C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
688C2×C3C2×#93211yescharacteristic
689C2×C3#581711yescharacteristic
690C2×C3#583811yescharacteristic
691D3—81no—
692C22—22no—
693C22—41no—
694C22—41no—
695C22—121no—
696C22—121no—
697C22—121no—
698C22C2×D3×#6711yescharacteristic
699C4—21no—
700C4—21no—
701C4—32no—
702C4—41no—
703C4—61no—
704C4—61no—
705C4—61no—
706C4—121no—
707C4—121no—
708C4—121no—
709C4—361no—
710C4—361no—
711C4C2×#379611yescharacteristic
712C4#6429711yescharacteristic
713C3—21no—
714C3#8051811yescharacteristic, complemented
715C3#8356311yescharacteristic, complemented
716C2—42no—
717C2—241no—
718C2#1059490011yescharacteristic
719C2D3×#93211yescharacteristic
720C2#1059546711yescharacteristic
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#3367
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. #10593932C2semidirect
3. #10592717C2semidirect
5. #10591489C2semidirect
7. #10591440C2semidirect
9. #10590560C2semidirect
10. #10590531C2semidirect
11. #10590489C2semidirect
12. #10590463C2semidirect
13. #10590284C2semidirect
14. #10590280C2semidirect
15. #10590252C2semidirect
64. D4×Dic6D3semidirect
642. C32#3367semidirect
714. C3#80518semidirect
715. C3#83563semidirect

Maximal subgroups

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

subgroupindex
C3×D4×Dic62
#105939322
#105927172
C3×#50162
#105914892
#105914682
#105914402
Dic3×#2132
#105905602
#105905312
#105904892
#105904632
#105902842
#105902802
#105902522
#835633
#805183