Finite Group Databasebeta

← #11870641

Subgroups — #11870641

Order 1152.

837 conjugacy classes of subgroups.

The subgroup lattice has 743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Dic3×#239C211yesmaximal, characteristic, complemented
2#10594426C211yesmaximal, characteristic, complemented
3#10592495C211yesmaximal, characteristic, complemented
4C3×#4810C211yesmaximal, characteristic
5C3×#4790C211yesmaximal, characteristic, complemented
6#10591612C211yesmaximal, characteristic, complemented
7#10591597C211yesmaximal, characteristic, complemented
8Dic3×#215C211yesmaximal, characteristic, complemented
9Dic3×D24C211yesmaximal, characteristic, complemented
10#10590751C211yesmaximal, characteristic, complemented
11#10590710C211yesmaximal, characteristic, complemented
12#10590655C211yesmaximal, characteristic, complemented
13#10590473C211yesmaximal, characteristic, complemented
14#10590453C211yesmaximal, characteristic, complemented
15#10590446C211yesmaximal, characteristic, complemented
16#80068—31nomaximal
17#79746—31nomaximal
18C2×C3×#239C2211yescharacteristic
19Q8×C3⋊Dic3C2211yescharacteristic
20#64099C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic
22C2×C3×#216C2211yescharacteristic
23C2×C3×#215C2211yescharacteristic
24C2×C3×D24C2211yescharacteristic
25C3×#895C2211yescharacteristic
26C3×#887C2211yescharacteristic
27#63898—21no—
28#63898C2211yescharacteristic
29Dic3×D12—21no—
30Dic3×D12—21no—
31Dic3×D12C2211yescharacteristic
32Dic3×D12C2211yescharacteristic
33#63884—21no—
34#63877—21no—
35C4×D3×Dic3—21no—
36C4×D3×Dic3C2211yescharacteristic
37#63863C2211yescharacteristic
38#63861—21no—
39#63856C2211yescharacteristic
40#63841—21no—
41#63841C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43C32×#103C2211yescharacteristic
44#63662C2211yescharacteristic
45#63645C2211yescharacteristic
46#63641C2211yescharacteristic
47#63635C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#809C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63573C2211yescharacteristic
54#63572C2211yescharacteristic
55#63566C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61Dic3×#41—31no—
62#5600—31no—
63#5580—31no—
64C4×#239—31no—
65C3×#449—31no—
66C3×C4×Q16—31no—
67#5239—31no—
68#5187—31no—
69#5185—31no—
70#5166—31no—
71Dic3×SD16—31no—
72#5153—31no—
73Dic3×D8—31no—
74#5035—31no—
75C4×#215—31no—
76C4×#215—31no—
77#4891—31no—
78#4885—31no—
79#4819—31no—
80#4814—31no—
81#4810D311yescharacteristic
82#4796—31no—
83#4796—31no—
84#4796—61no—
85#4790D311yescharacteristic, complemented
86#4763—31no—
87#4758—31no—
88#4723—31no—
89#4718—31no—
90C4×D24—31no—
91#4685—31no—
92C2×C32×Q8C2311yescharacteristic
93C3×#239—22no—
94C3×#239—22no—
95C2×C3×D12—21no—
96C2×C3×D12—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3D411yescharacteristic
106C2×D3×Dic3D411yescharacteristic
107C2×C32×C8C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109C4⋊(C3⋊Dic3)—21no—
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#216—22no—
118C3×#215—22no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×D24—22no—
129#3724—21no—
130(C2×D3)⋊Dic3—21no—
131(C2×D3)⋊Dic3—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140#3715—22no—
141#3102—91noSylow
142C2×C3×#41—31no—
143C2×#239C2×D311yescharacteristic
144C2×C3×Q16—31no—
145C2×C3×SD16—31no—
146C2×C3×D8—31no—
147C3×#121—31no—
148C3×C4×Q8—31no—
149C3×C4×Q8—31no—
150#947—31no—
151#946—31no—
152Q8×Dic3—31no—
153Q8×Dic3—31no—
154Q8×Dic3—61no—
155Q8×Dic3C2×D311yescharacteristic
156C2×#216C2×D311yescharacteristic
157C2×#215—31no—
158C2×#215C2×D311yescharacteristic
159#936—31no—
160#935—61no—
161D4×Dic3—31no—
162D4×Dic3—31no—
163D4×Dic3—31no—
164D4×Dic3—61no—
165D4×Dic3—61no—
166D4×Dic3—61no—
167C2×#214—31no—
168#926—31no—
169#926—61no—
170#924—31no—
171C2×C4×Dic3—31no—
172C2×C4×Dic3—61no—
173C2×D24C2×D311yescharacteristic
174#898—61no—
175#895C2×D311yescharacteristic
176#894—61no—
177#893—31no—
178#893—61no—
179#892—31no—
180#892—61no—
181#890—31no—
182#890—31no—
183#890—61no—
184#887C2×D311yescharacteristic
185#879—61no—
186#877—61no—
187C4×D12—31no—
188C4×D12—31no—
189C4×D12—61no—
190C4×D12—61no—
191#872—61no—
192C42×D3—31no—
193C42×D3—61no—
194C3×#107—31no—
195C3×#103—21no—
196C3×#103—31no—
197C3×#103C2×D311yescharacteristic
198C3×#103C2×D311yescharacteristic
199C3×#102—31no—
200C3×C22⋊C8—31no—
201C3×C4×C8—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#835—61no—
206#832—31no—
207#832—31no—
208#832—31no—
209#830—31no—
210#821—31no—
211#821—31no—
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8C2×D311yescharacteristic
214#818—31no—
215#818—31no—
216#818—61no—
217#817—31no—
218#816—31no—
219#816C2×D311yescharacteristic
220Dic3⋊C8—31no—
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—61no—
225C8×Dic3—31no—
226C8×Dic3C2×D311yescharacteristic
227#809—31no—
228#809C2×D311yescharacteristic
229#808—31no—
230#808—31no—
231#808—31no—
232#808—61no—
233#807C2×D311yescharacteristic
234C4×C3⋊C8—31no—
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8#4112yes—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
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×D12—21no—
255C3×D12—21no—
256C3×D12—42no—
257C3×D12#4112yes—
258C3×C4×D3—24no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263D3×Dic3—22no—
264D3×Dic3—41no—
265D3×Dic3—42no—
266D3×Dic3—42no—
267D3×Dic3—42no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#529—91no—
273C4×#41—91no—
274#485—91no—
275#482—91no—
276#479—91no—
277#478—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—31no—
282C4×Q16—31no—
283C4×SD16—91no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—21no—
290C2×C3×Q8—31no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—31no—
294C2×C3×D4—31no—
295C2×C3×D4—61no—
296C2×C3×D4—61no—
297C22×C3×C4—31no—
298C22×C3×C4—61no—
299C22×Dic3—31no—
300C22×Dic3—31no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303C22×Dic3—61no—
304#239—22no—
305#239—22no—
306C2×D12—21no—
307C2×D12—21no—
308C2×D12C22×D311yescharacteristic
309C2×D12C22×D311yescharacteristic
310C2×C4×D3—21no—
311C2×C4×D3—31no—
312C2×C4×D3—31no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3C22×D311yescharacteristic
317C2×Dic6C22×D311yescharacteristic
318C3×Q16—62no—
319C3×SD16—62no—
320C3×D8—62no—
321C2×C3×C8—21no—
322C2×C3×C8—31no—
323C2×C3×C8—31no—
324C2×C3×C8C22×D311yescharacteristic
325C2×C3×C8C22×D311yescharacteristic
326C3×C4⋊C4—21no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4—61no—
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C4⋊C4C22×D311yescharacteristic
332C3×C22⋊C4—61no—
333C3×C42—31no—
334C3×C42—61no—
335C3×C42—61no—
336#217—61no—
337#217—61no—
338#217—61no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—61no—
343#216—22no—
344#215—22no—
345#215—62no—
346#214—62no—
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—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355C4⋊Dic3—21no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—121no—
367C4⋊Dic3—121no—
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—121no—
375C4×Dic3—21no—
376C4×Dic3—21no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—31no—
380C4×Dic3—31no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—121no—
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395D24—22no—
396C22×C32C22×D411yescharacteristic
397C2×C3×D3—21no—
398C2×C3×D3—22no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—22no—
407C32×C4—41no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—21no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C3×Dic3#13512yes—
419C2×#41—31no—
420C2×Q16—31no—
421C2×SD16—31no—
422C2×SD16—91no—
423C2×D8—31no—
424#126—181no—
425#125—91no—
426#124—91no—
427#123—181no—
428C22⋊Q8—91no—
429#121—31no—
430C4×Q8—31no—
431C4×Q8—31no—
432C4×Q8—91no—
433C4×D4—91no—
434C4×D4—91no—
435C4×D4—91no—
436C4×D4—181no—
437C4×D4—181no—
438C4×D4—181no—
439#117—91no—
440#117—181no—
441#117—181no—
442C2×C42—91no—
443C2×C42—181no—
444#107—31no—
445#107—91no—
446#106—91no—
447#106—91no—
448C4⋊C8—91no—
449C4⋊C8—91no—
450#103—31no—
451#103—91no—
452#103—91no—
453#103D3211yescharacteristic
454#102—31no—
455#102—91no—
456#102—91no—
457#102—91no—
458C22⋊C8—31no—
459C22⋊C8—91no—
460C4×C8—31no—
461C4×C8—91no—
462C23×C3—31no—
463C23×C3—61no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—21no—
467C22×D3D3×D411yescharacteristic
468C3×Q8—21no—
469C3×Q8—21no—
470C3×Q8—22no—
471C3×Q8—41no—
472C3×Q8—61no—
473C3×Q8—61no—
474C3×Q8#23512yes—
475C3×Q8#23712yes—
476C3×D4—32no—
477C3×D4—64no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—61no—
481C3×D4—122no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—41no—
491C2×C3×C4—41no—
492C2×C3×C4—64no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—31no—
502C2×Dic3—31no—
503C2×Dic3—31no—
504C2×Dic3—31no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—62no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—121no—
513C2×Dic3—121no—
514C2×Dic3—121no—
515C2×Dic3—122no—
516C2×Dic3—122no—
517C2×Dic3—122no—
518C2×Dic3D3×D411yescharacteristic
519C2×Dic3D3×D411yescharacteristic
520C2×Dic3D3×D411yescharacteristic
521D12—24no—
522D12—21no—
523D12—21no—
524D12—21no—
525D12—42no—
526D12#23712yes—
527C4×D3—24no—
528C4×D3—21no—
529C4×D3—21no—
530C4×D3—62no—
531C4×D3—121no—
532C4×D3—122no—
533C4×D3—122no—
534C4×D3—122no—
535Dic6—21no—
536Dic6—21no—
537C3×C8—21no—
538C3×C8—21no—
539C3×C8—41no—
540C3×C8—61no—
541C3×C8—61no—
542C3⋊C8—21no—
543C3⋊C8—21no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—121no—
547C2×C32#52511yescharacteristic
548C2×C32C2×#13511yescharacteristic
549C2×C32#57511yescharacteristic
550C3×D3—41no—
551C3×D3—42no—
552C3×D3—81no—
553#41—62no—
554#41—62no—
555C2×Q8—31no—
556C2×Q8C2×D3211yescharacteristic
557C2×D4—31no—
558C2×D4—31no—
559C2×D4—61no—
560C2×D4—61no—
561C22×C4—31no—
562C22×C4—61no—
563C22×C4—91no—
564C22×C4—91no—
565C22×C4—181no—
566C22×C4—181no—
567C22×C4—181no—
568Q16—62no—
569SD16—62no—
570SD16—182no—
571D8—62no—
572C2×C8—31no—
573C2×C8—31no—
574C2×C8—91no—
575C2×C8C2×D3211yescharacteristic
576C4⋊C4—31no—
577C4⋊C4—61no—
578C4⋊C4—61no—
579C4⋊C4—91no—
580C4⋊C4—91no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C4⋊C4C2×D3211yescharacteristic
586C22⋊C4—61no—
587C22⋊C4—181no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C42—31no—
595C42—61no—
596C42—61no—
597C42—91no—
598C42—91no—
599C42—91no—
600C42—181no—
601C42—181no—
602C22×C3—21no—
603C22×C3—61no—
604C22×C3—61no—
605C22×C3—62no—
606C22×C3—61no—
607C22×C3—121no—
608C22×C3—121no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3C2×D3×D411yescharacteristic
613C22×C3C2×D3×D411yescharacteristic
614C2×D3—21no—
615C2×D3—21no—
616C2×D3—21no—
617C2×D3—22no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—41no—
623C3×C4—22no—
624C3×C4—22no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—32no—
628C3×C4—42no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4—61no—
632C3×C4—61no—
633C3×C4—81no—
634C3×C4—121no—
635C3×C4—121no—
636C3×C4C2×#23511yescharacteristic
637C3×C4C2×#23711yescharacteristic
638C3×C4C2×#23711yescharacteristic
639C3×C4D3×#4111yescharacteristic
640Dic3—21no—
641Dic3—21no—
642Dic3—41no—
643Dic3—41no—
644Dic3—61no—
645Dic3—61no—
646Dic3—61no—
647Dic3—61no—
648Dic3—121no—
649Dic3—121no—
650Dic3—121no—
651Dic3—121no—
652Dic3—121no—
653Dic3—121no—
654Dic3—241no—
655Dic3—241no—
656Dic3#91912yes—
657C32#310211yescharacteristic, complemented, Sylow
658C23—31no—
659C23—61no—
660C23—61no—
661Q8—21no—
662Q8—61no—
663Q8—61no—
664Q8#379512yes—
665D4—32no—
666D4—64no—
667D4—61no—
668D4—61no—
669D4—61no—
670D4—122no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—31no—
674C2×C4—31no—
675C2×C4—31no—
676C2×C4—64no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—91no—
682C2×C4—91no—
683C2×C4—182no—
684C2×C4—181no—
685C2×C4—181no—
686C2×C4—362no—
687C2×C4—362no—
688C2×C4—361no—
689C2×C4—362no—
690C2×C4C22×D3211yescharacteristic
691C8—21no—
692C8—61no—
693C8—61no—
694C8—181no—
695C2×C3—21no—
696C2×C3—21no—
697C2×C3—21no—
698C2×C3—121no—
699C2×C3—122no—
700C2×C3—241no—
701C2×C3#554711yescharacteristic
702C2×C3#558611yescharacteristic
703C2×C3C2×#91911yescharacteristic
704C2×C3D3×#13511yescharacteristic
705C2×C3#576811yescharacteristic
706C2×C3#577311yescharacteristic
707D3—41no—
708D3—42no—
709D3—81no—
710C22—62no—
711C22—61no—
712C22—61no—
713C22—61no—
714C22—121no—
715C22—121no—
716C22—121no—
717C22—121no—
718C22—121no—
719C22D32×D411yescharacteristic
720C4—22no—
721C4—32no—
722C4—41no—
723C4—61no—
724C4—61no—
725C4—121no—
726C4—121no—
727C4—181no—
728C4—181no—
729C4—361no—
730C4—361no—
731C4C2×#379511yescharacteristic
732C4D3×#23711yescharacteristic
733C3—21no—
734C3#7974611yescharacteristic, complemented
735C3#8006811yescharacteristic, complemented
736C2—121no—
737C2—122no—
738C2—241no—
739C2#1059405411yescharacteristic
740C2#1059474511yescharacteristic
741C2D3×#91911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC3×#4810C2
hypercenter#103D32
hypocenterC32#3102
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
1. Dic3×#239C2semidirect
2. #10594426C2semidirect
3. #10592495C2semidirect
5. C3×#4790C2semidirect
6. #10591612C2semidirect
7. #10591597C2semidirect
8. Dic3×#215C2semidirect
9. Dic3×D24C2semidirect
10. #10590751C2semidirect
11. #10590710C2semidirect
12. #10590655C2semidirect
13. #10590473C2semidirect
14. #10590453C2semidirect
15. #10590446C2semidirect
85. #4790D3semidirect
657. C32#3102semidirect
734. C3#79746semidirect
735. C3#80068semidirect

Maximal subgroups

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

subgroupindex
Dic3×#2392
#105944262
#105924952
C3×#48102
C3×#47902
#105916122
#105915972
Dic3×#2152
Dic3×D242
#105907512
#105907102
#105906552
#105904732
#105904532
#105904462
#800683
#797463