Finite Group Databasebeta

← #11872492

Subgroups — #11872492

Order 1152.

820 conjugacy classes of subgroups.

The subgroup lattice has 737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595354C211yesmaximal, characteristic, complemented
2#10595353C211yesmaximal, characteristic
3#10592886C211yesmaximal, characteristic
4C3×#5182C211yesmaximal, characteristic, complemented
5C3×Dic3×Q16C211yesmaximal, characteristic, complemented
6#10591602C211yesmaximal, characteristic
7#10591576C211yesmaximal, characteristic, complemented
8#10591565C211yesmaximal, characteristic, complemented
9#10591553C211yesmaximal, characteristic, complemented
10#10591545C211yesmaximal, characteristic, complemented
11#10591540C211yesmaximal, characteristic, complemented
12#10590792C211yesmaximal, characteristic, complemented
13#10590774C211yesmaximal, characteristic, complemented
14#10590689C211yesmaximal, characteristic, complemented
15#10590648C211yesmaximal, characteristic, complemented
16#80460—31nomaximal
17#79748—31nomaximal
18C2×#3832C2211yescharacteristic
19C2×C32×Q16C2211yescharacteristic
20#64155C2211yescharacteristic
21C2×#3755C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C3×Q8×Dic3C2211yescharacteristic
25C3×#944C2211yescharacteristic
26C2×C3×#216C2211yescharacteristic
27#63900—21no—
28#63900C2211yescharacteristic
29#63894—21no—
30#63894—21no—
31#63894C2211yescharacteristic
32#63894C2211yescharacteristic
33#63874—21no—
34#63874C2211yescharacteristic
35#63871C2211yescharacteristic
36#63869C2211yescharacteristic
37#63868—21no—
38#63867—21no—
39#63848—21no—
40#63847—21no—
41Dic3×Dic6C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43#63662C2211yescharacteristic
44#63648C2211yescharacteristic
45#63647C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53#63576C2211yescharacteristic
54#63573C2211yescharacteristic
55#63573C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63565C2211yescharacteristic
58#63564C2211yescharacteristic
59#63557C2211yescharacteristic
60#63554C2211yescharacteristic
61#5731—31no—
62#5583—31no—
63#5574—31no—
64#5574—31no—
65C3×#462—31no—
66C3×C4×Q16—31no—
67#5187—31no—
68#5187—31no—
69#5187—31no—
70#5187—61no—
71#5184—31no—
72#5182D311yescharacteristic, complemented
73Dic3×Q16D311yescharacteristic, complemented
74#5083—31no—
75#5030—31no—
76#5026—31no—
77#5022—31no—
78#4891—31no—
79#4884—31no—
80#4847—31no—
81#4840—31no—
82#4818—31no—
83#4817—31no—
84#4811—31no—
85#4808—31no—
86#4805—31no—
87#4805—31no—
88#4799—31no—
89#4788—31no—
90C4×#204—31no—
91#4690—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×Q8C2311yescharacteristic
94#3832—22no—
95#3832—22no—
96C2×C4⋊(C3⋊D3)—21no—
97C2×C4⋊(C3⋊D3)C2311yescharacteristic
98C2×C4×C3⋊D3—21no—
99C2×C4×C3⋊D3C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#624—21no—
102C2×#624—21no—
103C2×#624—21no—
104C32×Q16—22no—
105C2×C32×C8C2311yescharacteristic
106#3755—22no—
107#3752—21no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109#3750—21no—
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C3×#216—22no—
112C3×C4⋊Dic3—21no—
113C3×C4⋊Dic3—21no—
114C3×C4⋊Dic3—21no—
115C3×C4⋊Dic3C2311yescharacteristic
116C3×C4⋊Dic3C2311yescharacteristic
117C3×C4⋊Dic3C2311yescharacteristic
118C3×Dic3⋊C4—21no—
119C3×Dic3⋊C4—21no—
120C3×C4×Dic3—21no—
121C3×C4×Dic3—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3C2311yescharacteristic
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127#3724—21no—
128#3724—21no—
129#3724D411yescharacteristic
130#3724D411yescharacteristic
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134#3722—21no—
135#3722—21no—
136#3722—21no—
137#3722D411yescharacteristic
138#3722D411yescharacteristic
139Dic32—21no—
140#3717—22no—
141#3120—91noSylow
142C2×#239—31no—
143C2×#239—31no—
144C2×#239—61no—
145C2×C3×Q16—21no—
146C2×C3×Q16—31no—
147C2×C3×Q16C2×D311yescharacteristic
148C2×C3×Q16C2×D311yescharacteristic
149C3×C4⋊Q8—31no—
150C3×C4×Q8—31no—
151C3×C4×Q8—31no—
152C3×C4×Q8—31no—
153#946—31no—
154#946—31no—
155#946—31no—
156#946—61no—
157Q8×Dic3—31no—
158Q8×Dic3C2×D311yescharacteristic
159Q8×Dic3C2×D311yescharacteristic
160Q8×Dic3C2×D311yescharacteristic
161#944C2×D311yescharacteristic
162C2×#216C2×D311yescharacteristic
163C2×#215—31no—
164C2×#215—31no—
165C2×#215—31no—
166C2×#215—61no—
167C2×#204—31no—
168#898—61no—
169#898—61no—
170#898—61no—
171#897—31no—
172#893—31no—
173#893—31no—
174#893—61no—
175#893—61no—
176D3×C4⋊C4—31no—
177D3×C4⋊C4—31no—
178D3×C4⋊C4—61no—
179D3×C4⋊C4—61no—
180#890—31no—
181#889—61no—
182#889—61no—
183#889—61no—
184#876—61no—
185C4×D12—31no—
186C4×D12—31no—
187C4×D12—61no—
188C4×D12—61no—
189#872—31no—
190#872—31no—
191#872—61no—
192#872—61no—
193#870—31no—
194#870—61no—
195C4×Dic6—31no—
196C3×#107—31no—
197C3×C4⋊C8—31no—
198C3×#103—31no—
199C3×#103—31no—
200C3×#103—31no—
201C3×#103—31no—
202C3×C4×C8—31no—
203#835—31no—
204#835—31no—
205#835—31no—
206#835—61no—
207#835C2×D311yescharacteristic
208#835C2×D311yescharacteristic
209#835C2×D311yescharacteristic
210#821—31no—
211#821—31no—
212#821—31no—
213#821—61no—
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8—61no—
219#818C2×D311yescharacteristic
220#817—31no—
221#817—31no—
222#816C2×D311yescharacteristic
223#815—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8C2×D311yescharacteristic
226C8×Dic3C2×D311yescharacteristic
227#810—31no—
228#809—31no—
229#808—31no—
230#808—31no—
231#807—31no—
232#807—31no—
233C4⋊(C3⋊C8)—31no—
234#803—31no—
235C22×C3⋊D3—21no—
236C22×C3⋊D3C2×D411yescharacteristic
237C32×Q8—21no—
238C32×Q8—21no—
239C32×Q8—21no—
240C32×Q8#4112yes—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C4⋊(C3⋊D3)—24no—
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)#4112yes—
249C4×C3⋊D3—24no—
250C4×C3⋊D3—21no—
251C4×C3⋊D3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C3×Dic6—21no—
261C3×Dic6—21no—
262#624—81no—
263#624—81no—
264#624—81no—
265C32×C8—21no—
266C3⋊(C3⋊C8)—21no—
267C3×C3⋊C8—21no—
268C3×C3⋊C8—21no—
269#541—91no—
270#520—91no—
271#484—91no—
272#483—91no—
273#479—91no—
274#478—91no—
275#462—31no—
276#461—91no—
277#452—91no—
278#452—91no—
279#441—91no—
280#440—91no—
281C4×Q16—31no—
282C4×SD16—91no—
283#433—91no—
284C2×C3×Q8—21no—
285C2×C3×Q8—21no—
286C2×C3×Q8—31no—
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×Q8C22×D311yescharacteristic
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291#239—62no—
292#239—62no—
293#239—62no—
294#239—62no—
295#239—122no—
296#239—122no—
297C2×D12—31no—
298C2×D12—31no—
299C2×D12—61no—
300C2×D12—61no—
301C2×D12—61no—
302C2×D12—121no—
303C2×C4×D3—31no—
304C2×C4×D3—31no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—121no—
315C2×Dic6C22×D311yescharacteristic
316C3×Q16—22no—
317C3×Q16—22no—
318C3×Q16—42no—
319C3×Q16—62no—
320C2×C3×C8—21no—
321C2×C3×C8—31no—
322C2×C3×C8—31no—
323C2×C3×C8C22×D311yescharacteristic
324C2×C3×C8C22×D311yescharacteristic
325C3×C4⋊C4—31no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4—61no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—61no—
336C3×C42—61no—
337C3×C42—61no—
338#216—22no—
339#215—62no—
340#215—62no—
341#215—62no—
342#215—122no—
343(C2×D3)⋊C4—31no—
344(C2×D3)⋊C4—31no—
345(C2×D3)⋊C4—31no—
346(C2×D3)⋊C4—31no—
347(C2×D3)⋊C4—61no—
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—
355(C2×D3)⋊C4—121no—
356C4⋊Dic3—21no—
357C4⋊Dic3—21no—
358C4⋊Dic3—21no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368Dic3⋊C4—21no—
369Dic3⋊C4—21no—
370Dic3⋊C4—31no—
371Dic3⋊C4—31no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—121no—
384C4×Dic3—21no—
385C4×Dic3—21no—
386C4×Dic3—21no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3C22×D311yescharacteristic
390C4×Dic3C22×D311yescharacteristic
391C2×C3⋊C8—31no—
392C2×C3⋊C8—31no—
393C2×C3⋊C8—61no—
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396#204—62no—
397C22×C32C22×D411yescharacteristic
398C2×C3⋊D3—21no—
399C2×C3⋊D3—22no—
400C2×C3⋊D3—21no—
401C2×C3⋊D3—21no—
402C2×C3⋊D3—41no—
403C2×C3⋊D3—41no—
404C32×C4—22no—
405C32×C4—41no—
406C32×C4C2×#4111yescharacteristic
407C32×C4C2×#4111yescharacteristic
408C3⋊Dic3—21no—
409C3⋊Dic3—41no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C2×#41—91no—
419C2×Q16—31no—
420C2×Q16D3211yescharacteristic
421C2×SD16—91no—
422C2×SD16—91no—
423C4⋊Q8—31no—
424#126—181no—
425#126—181no—
426#125—91no—
427#125—181no—
428#125—181no—
429C22⋊Q8—91no—
430C22⋊Q8—91no—
431C4×Q8—31no—
432C4×Q8—31no—
433C4×Q8—31no—
434C4×Q8—91no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—181no—
438C4×D4—181no—
439#117—91no—
440#117—181no—
441C2×C4⋊C4—91no—
442C2×C4⋊C4—181no—
443#107—31no—
444#107—91no—
445#106—91no—
446#106—91no—
447C4⋊C8—31no—
448C4⋊C8—91no—
449#103—31no—
450#103—31no—
451#103—31no—
452#103—31no—
453#103—91no—
454#103—91no—
455#102—91no—
456#102—91no—
457C22⋊C8—91no—
458C22⋊C8—91no—
459#97—91no—
460C4×C8—31no—
461C22×D3—31no—
462C22×D3—31no—
463C22×D3—61no—
464C22×D3—61no—
465C22×D3—61no—
466C22×D3—121no—
467C3×Q8—21no—
468C3×Q8—21no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—22no—
474C3×Q8—41no—
475C3×Q8—41no—
476C3×Q8—41no—
477C3×Q8—61no—
478C3×Q8—61no—
479C3×Q8#23512yes—
480C3×Q8#23712yes—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—41no—
491C2×C3×C4—41no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4C23×D311yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—21no—
502C2×Dic3—31no—
503C2×Dic3—31no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—121no—
508C2×Dic3D3×D411yescharacteristic
509C2×Dic3D3×D411yescharacteristic
510C2×Dic3D3×D411yescharacteristic
511C2×Dic3D3×D411yescharacteristic
512D12—32no—
513D12—32no—
514D12—62no—
515D12—64no—
516D12—64no—
517D12—61no—
518D12—61no—
519D12—121no—
520D12—124no—
521C4×D3—64no—
522C4×D3—64no—
523C4×D3—61no—
524C4×D3—61no—
525C4×D3—61no—
526C4×D3—61no—
527C4×D3—121no—
528C4×D3—121no—
529C4×D3—124no—
530C4×D3—241no—
531C4×D3—241no—
532C4×D3—241no—
533C4×D3—241no—
534C4×D3—241no—
535C4×D3—241no—
536Dic6—21no—
537Dic6—21no—
538C3×C8—21no—
539C3×C8—21no—
540C3×C8—41no—
541C3×C8—61no—
542C3×C8—61no—
543C3⋊C8—21no—
544C3⋊C8—21no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—121no—
548C2×C32#52511yescharacteristic
549C2×C32#57711yescharacteristic
550C2×C32#57811yescharacteristic
551C3⋊D3—41no—
552C3⋊D3—42no—
553#41—182no—
554#41—182no—
555C2×Q8—31no—
556C2×Q8C2×D3211yescharacteristic
557C2×Q8C2×D3211yescharacteristic
558C2×D4—91no—
559C2×D4—181no—
560C22×C4—91no—
561C22×C4—181no—
562C22×C4—181no—
563C22×C4—181no—
564C22×C4—181no—
565Q16—22no—
566Q16—62no—
567SD16—182no—
568SD16—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—61no—
579C4⋊C4—61no—
580C4⋊C4—61no—
581C4⋊C4—91no—
582C4⋊C4—91no—
583C4⋊C4—91no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C22⋊C4—91no—
591C22⋊C4—91no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C42—31no—
597C42—31no—
598C42—61no—
599C42—61no—
600C42—61no—
601C42—181no—
602C22×C3—21no—
603C22×C3C2×D3×D411yescharacteristic
604C22×C3C2×D3×D411yescharacteristic
605C2×D3—61no—
606C2×D3—61no—
607C2×D3—61no—
608C2×D3—61no—
609C2×D3—62no—
610C2×D3—61no—
611C2×D3—62no—
612C2×D3—61no—
613C2×D3—122no—
614C2×D3—121no—
615C2×D3—121no—
616C2×D3—121no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—241no—
622C2×D3—241no—
623C3×C4—22no—
624C3×C4—22no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—42no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—61no—
631C3×C4—61no—
632C3×C4—61no—
633C3×C4—61no—
634C3×C4—81no—
635C3×C4—121no—
636C3×C4—121no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4C2×#23511yescharacteristic
640C3×C4C2×#23711yescharacteristic
641C3×C4D3×#4111yescharacteristic
642C3×C4D3×#4111yescharacteristic
643Dic3—21no—
644Dic3—21no—
645Dic3—21no—
646Dic3—21no—
647Dic3—41no—
648Dic3—41no—
649Dic3—41no—
650Dic3—41no—
651Dic3—61no—
652Dic3—61no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—241no—
657C32#312011yescharacteristic, complemented, Sylow
658C23—91no—
659C23—181no—
660Q8—21no—
661Q8—21no—
662Q8—21no—
663Q8—61no—
664Q8—61no—
665Q8#380412yes—
666D4—92no—
667D4—184no—
668D4—181no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—31no—
672C2×C4—31no—
673C2×C4—31no—
674C2×C4—31no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—91no—
680C2×C4—184no—
681C2×C4—181no—
682C2×C4—181no—
683C2×C4—181no—
684C2×C4—721no—
685C2×C4—721no—
686C2×C4—721no—
687C2×C4C22×D3211yescharacteristic
688C8—21no—
689C8—61no—
690C8—61no—
691C8—181no—
692C2×C3—21no—
693C2×C3—21no—
694C2×C3—21no—
695C2×C3#554711yescharacteristic
696C2×C3#560611yescharacteristic
697C2×C3#576611yescharacteristic
698C2×C3#576611yescharacteristic
699C2×C3#577011yescharacteristic
700C2×C3#577811yescharacteristic
701D3—121no—
702D3—122no—
703D3—121no—
704D3—122no—
705D3—241no—
706D3—242no—
707C22—182no—
708C22—181no—
709C22—181no—
710C22—181no—
711C22—361no—
712C22—361no—
713C22D32×D411yescharacteristic
714C4—22no—
715C4—41no—
716C4—61no—
717C4—61no—
718C4—61no—
719C4—61no—
720C4—121no—
721C4—121no—
722C4—121no—
723C4—121no—
724C4—181no—
725C4—361no—
726C4#6431211yescharacteristic
727C4C2×#380411yescharacteristic
728C3—21no—
729C3#7974811yescharacteristic, complemented
730C3#8046011yescharacteristic, complemented
731C2—361no—
732C2—362no—
733C2#1059476511yescharacteristic
734C2#1059477011yescharacteristic
735C2#1059513811yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×Q16C22
socleC22×C32C22×D4
prime radicalC2×#3832C22
hypercenterC2×Q16D32
hypocenterC32#3120
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q16

Complements

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

NH ≅ G/Ntype
1. #10595354C2semidirect
4. C3×#5182C2semidirect
5. C3×Dic3×Q16C2semidirect
7. #10591576C2semidirect
8. #10591565C2semidirect
9. #10591553C2semidirect
10. #10591545C2semidirect
11. #10591540C2semidirect
12. #10590792C2semidirect
13. #10590774C2semidirect
14. #10590689C2semidirect
15. #10590648C2semidirect
72. #5182D3semidirect
73. Dic3×Q16D3semidirect
657. C32#3120semidirect
729. C3#79748semidirect
730. C3#80460semidirect

Maximal subgroups

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

subgroupindex
#105953542
#105953532
#105928862
C3×#51822
C3×Dic3×Q162
#105916022
#105915762
#105915652
#105915532
#105915452
#105915402
#105907922
#105907742
#105906892
#105906482
#804603
#797483