Finite Group Databasebeta

← #11872493

Subgroups — #11872493

Order 1152.

799 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
1#10595394C211yesmaximal, characteristic
2#10595349C211yesmaximal, characteristic, complemented
3Q16×C3⋊Dic3C211yesmaximal, characteristic, complemented
4C3×#5187C211yesmaximal, characteristic
5C3×#5182C211yesmaximal, characteristic, complemented
6#10591597C211yesmaximal, characteristic
7#10591582C211yesmaximal, characteristic, complemented
8#10591572C211yesmaximal, characteristic, complemented
9#10591564C211yesmaximal, characteristic, complemented
10#10591549C211yesmaximal, characteristic, complemented
11#10591547C211yesmaximal, characteristic, complemented
12#10590767C211yesmaximal, characteristic, complemented
13#10590742C211yesmaximal, characteristic, complemented
14#10590698C211yesmaximal, characteristic, complemented
15#10590682C211yesmaximal, characteristic, complemented
16#80460—31nomaximal
17#80217—31nomaximal
18C2×C3×#239C2211yescharacteristic
19C2×C32×Q16C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21Q8×C3⋊Dic3C2211yescharacteristic
22C3×#946C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C3×#944C2211yescharacteristic
25C2×C3×#216C2211yescharacteristic
26C2×C3×#215C2211yescharacteristic
27#63898—21no—
28#63898C2211yescharacteristic
29Dic3×D12—21no—
30Dic3×D12C2211yescharacteristic
31D3×C4⋊Dic3—21no—
32D3×C4⋊Dic3C2211yescharacteristic
33#63870—21no—
34#63869C2211yescharacteristic
35#63862—21no—
36#63861—21no—
37#63856C2211yescharacteristic
38#63855—21no—
39#63855C2211yescharacteristic
40#63845—21no—
41#63843C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43#63662C2211yescharacteristic
44#63662C2211yescharacteristic
45#63645C2211yescharacteristic
46C8×C3⋊Dic3C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53#63575C2211yescharacteristic
54#63574C2211yescharacteristic
55#63573C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63563C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63555C2211yescharacteristic
61#5827—31no—
62#5731—31no—
63#5625—31no—
64#5574—31no—
65C3×#462—31no—
66C3×#452—31no—
67#5239—31no—
68#5187—31no—
69#5187D311yescharacteristic
70#5184—31no—
71#5182D311yescharacteristic, complemented
72Dic3×Q16—31no—
73Dic3×Q16—31no—
74Dic3×Q16—61no—
75#5164—31no—
76#5162—31no—
77#5083—31no—
78#5043—31no—
79#5022—31no—
80#4847—31no—
81#4840—31no—
82#4817—31no—
83#4811—31no—
84#4805—31no—
85#4796—31no—
86#4789—31no—
87#4788—31no—
88#4766—31no—
89#4758—31no—
90#4722—31no—
91#4720—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×Q8C2311yescharacteristic
94C3×#239—22no—
95C3×#239—22no—
96C2×C3×D12—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C32×Q16—22no—
105C2×C32×C8C2311yescharacteristic
106C4⋊(C3⋊Dic3)—21no—
107C4⋊(C3⋊Dic3)—21no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110C4×C3⋊Dic3—21no—
111C4×C3⋊Dic3—21no—
112C4×C3⋊Dic3C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#216—22no—
115C3×#215—22no—
116C3×(C2×D3)⋊C4—21no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127#3724—21no—
128#3724—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140#3715—22no—
141#3120—91noSylow
142C2×C3×#41—31no—
143C2×#239C2×D311yescharacteristic
144C2×C3×Q16—21no—
145C2×C3×Q16—31no—
146C2×C3×Q16C2×D311yescharacteristic
147C2×C3×Q16C2×D311yescharacteristic
148C2×C3×SD16—31no—
149C3×C4⋊Q8—31no—
150C3×C22⋊Q8—31no—
151C3×C4×Q8—31no—
152#946—31no—
153#946C2×D311yescharacteristic
154Q8×Dic3—31no—
155Q8×Dic3—31no—
156Q8×Dic3—31no—
157Q8×Dic3—31no—
158Q8×Dic3—31no—
159Q8×Dic3—61no—
160Q8×Dic3—61no—
161Q8×Dic3C2×D311yescharacteristic
162#944C2×D311yescharacteristic
163C2×#216C2×D311yescharacteristic
164C2×#215—31no—
165C2×#215C2×D311yescharacteristic
166D4×Dic3—31no—
167D4×Dic3—31no—
168D4×Dic3—61no—
169D4×Dic3—61no—
170C2×#214—31no—
171#926—31no—
172#926—61no—
173C2×C4⋊Dic3—31no—
174C2×C4⋊Dic3—61no—
175#924—31no—
176#898—61no—
177#898—61no—
178#893—31no—
179#893—61no—
180D3×C4⋊C4—31no—
181D3×C4⋊C4—61no—
182#890—31no—
183#890—61no—
184#889—61no—
185#889—61no—
186#889—61no—
187#887—31no—
188#879—61no—
189#879—61no—
190C4×D12—31no—
191C4×D12—61no—
192#872—31no—
193#872—61no—
194#870—31no—
195C3×C4⋊C8—31no—
196C3×#103—31no—
197C3×#103—31no—
198C3×#103—31no—
199C3×#102—31no—
200C3×C22⋊C8—31no—
201#835—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#835—31no—
206#835—61no—
207#835—61no—
208#835C2×D311yescharacteristic
209#835C2×D311yescharacteristic
210#832—31no—
211#830—31no—
212#821—31no—
213#821C2×D311yescharacteristic
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8C2×D311yescharacteristic
216#818—31no—
217#818—31no—
218#818—31no—
219#818—61no—
220#817—31no—
221#816—31no—
222#816C2×D311yescharacteristic
223#815—31no—
224#815—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8C2×D311yescharacteristic
227C8×Dic3—31no—
228C8×Dic3—31no—
229C8×Dic3—61no—
230#808—31no—
231#808—31no—
232#808—31no—
233#807—31no—
234C4⋊(C3⋊C8)—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⋊Dic3—21no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—24no—
255C3×D12—21no—
256C3×D12#4112yes—
257C3×C4×D3—24no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262D3×Dic3—81no—
263D3×Dic3—81no—
264D3×Dic3—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—31no—
278#452—91no—
279#441—91no—
280#440—91no—
281C4×Q16—91no—
282C4×SD16—91no—
283#433—91no—
284C3×#41—62no—
285C3×#41—62no—
286C2×C3×Q8—21no—
287C2×C3×Q8—21no—
288C2×C3×Q8—31no—
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—31no—
294C2×C3×D4—61no—
295C22×C3×C4—31no—
296C22×C3×C4—61no—
297C22×Dic3—61no—
298C22×Dic3—61no—
299C22×Dic3—61no—
300#239—22no—
301#239—22no—
302C2×D12—21no—
303C2×D12C22×D311yescharacteristic
304C2×C4×D3—21no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3C22×D311yescharacteristic
309C2×Dic6C22×D311yescharacteristic
310C3×Q16—24no—
311C3×Q16—22no—
312C3×Q16—22no—
313C3×Q16—62no—
314C3×SD16—62no—
315C2×C3×C8—21no—
316C2×C3×C8—31no—
317C2×C3×C8—31no—
318C2×C3×C8C22×D311yescharacteristic
319C2×C3×C8C22×D311yescharacteristic
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C42—31no—
328C3×C42—61no—
329#217—31no—
330#217—31no—
331#217—61no—
332#217—61no—
333#217—61no—
334#216—22no—
335#215—22no—
336#215—62no—
337#214—62no—
338(C2×D3)⋊C4—21no—
339(C2×D3)⋊C4—31no—
340(C2×D3)⋊C4—31no—
341(C2×D3)⋊C4—61no—
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—31no—
350C4⋊Dic3—31no—
351C4⋊Dic3—61no—
352C4⋊Dic3—61no—
353C4⋊Dic3—61no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—121no—
361C4⋊Dic3—121no—
362C4⋊Dic3C22×D311yescharacteristic
363C4⋊Dic3C22×D311yescharacteristic
364Dic3⋊C4—21no—
365Dic3⋊C4—21no—
366Dic3⋊C4—21no—
367Dic3⋊C4—31no—
368Dic3⋊C4—31no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376C4×Dic3—21no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—121no—
387C4×Dic3—121no—
388C4×Dic3C22×D311yescharacteristic
389C2×C3⋊C8—31no—
390C2×C3⋊C8—31no—
391C2×C3⋊C8—61no—
392C2×C3⋊C8C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394C22×C32C22×D411yescharacteristic
395C2×C3×D3—21no—
396C2×C3×D3—22no—
397C2×C3×D3—21no—
398C2×C3×D3—21no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401C32×C4—22no—
402C32×C4—41no—
403C32×C4C2×#4111yescharacteristic
404C32×C4C2×#4111yescharacteristic
405C3⋊Dic3—21no—
406C3⋊Dic3—21no—
407C3⋊Dic3—41no—
408C3⋊Dic3—41no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C3×Dic3—41no—
415C2×#41—31no—
416C2×Q16—31no—
417C2×Q16D3211yescharacteristic
418C2×SD16—31no—
419C2×SD16—91no—
420C4⋊Q8—31no—
421#126—181no—
422#126—181no—
423#125—91no—
424#125—181no—
425#125—181no—
426C22⋊Q8—31no—
427C22⋊Q8—91no—
428C4×Q8—31no—
429C4×Q8—91no—
430C4×Q8—91no—
431C4×Q8—91no—
432C4×D4—91no—
433C4×D4—91no—
434C4×D4—181no—
435C4×D4—181no—
436#117—91no—
437#117—181no—
438C2×C4⋊C4—91no—
439C2×C4⋊C4—181no—
440#107—91no—
441#107—91no—
442#106—91no—
443#106—91no—
444C4⋊C8—31no—
445C4⋊C8—91no—
446#103—31no—
447#103—31no—
448#103—31no—
449#103—91no—
450#103—91no—
451#103—91no—
452#102—31no—
453#102—91no—
454C22⋊C8—31no—
455C22⋊C8—91no—
456#97—91no—
457C4×C8—91no—
458C23×C3—31no—
459C23×C3—61no—
460C22×D3—21no—
461C22×D3D3×D411yescharacteristic
462C3×Q8—21no—
463C3×Q8—21no—
464C3×Q8—22no—
465C3×Q8—21no—
466C3×Q8—21no—
467C3×Q8—21no—
468C3×Q8—21no—
469C3×Q8—22no—
470C3×Q8—41no—
471C3×Q8—41no—
472C3×Q8—61no—
473C3×Q8—61no—
474C3×Q8#23712yes—
475C3×Q8#23712yes—
476C3×D4—32no—
477C3×D4—64no—
478C3×D4—61no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—41no—
488C2×C3×C4—41no—
489C2×C3×C4—64no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4C23×D311yescharacteristic
496C2×C3×C4C23×D311yescharacteristic
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—31no—
501C2×Dic3—31no—
502C2×Dic3—31no—
503C2×Dic3—31no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—121no—
511C2×Dic3—121no—
512C2×Dic3—241no—
513C2×Dic3—241no—
514C2×Dic3—241no—
515C2×Dic3D3×D411yescharacteristic
516C2×Dic3D3×D411yescharacteristic
517C2×Dic3D3×D411yescharacteristic
518D12—24no—
519D12—21no—
520D12#23712yes—
521C4×D3—24no—
522C4×D3—21no—
523C4×D3—21no—
524C4×D3—241no—
525C4×D3—241no—
526C4×D3—241no—
527Dic6—21no—
528Dic6—21no—
529C3×C8—22no—
530C3×C8—21no—
531C3×C8—21no—
532C3×C8—61no—
533C3×C8—61no—
534C3⋊C8—21no—
535C3⋊C8—21no—
536C3⋊C8—61no—
537C3⋊C8—61no—
538C3⋊C8—121no—
539C2×C32#52511yescharacteristic
540C2×C32#57711yescharacteristic
541C2×C32#57811yescharacteristic
542C3×D3—41no—
543C3×D3—42no—
544#41—62no—
545#41—62no—
546C2×Q8—31no—
547C2×Q8C2×D3211yescharacteristic
548C2×Q8C2×D3211yescharacteristic
549C2×D4—31no—
550C2×D4—61no—
551C22×C4—31no—
552C22×C4—61no—
553C22×C4—181no—
554C22×C4—181no—
555C22×C4—181no—
556Q16—22no—
557Q16—62no—
558SD16—62no—
559SD16—182no—
560C2×C8—31no—
561C2×C8—31no—
562C2×C8—91no—
563C2×C8C2×D3211yescharacteristic
564C4⋊C4—31no—
565C4⋊C4—31no—
566C4⋊C4—61no—
567C4⋊C4—61no—
568C4⋊C4—61no—
569C4⋊C4—61no—
570C4⋊C4—91no—
571C4⋊C4—91no—
572C4⋊C4—91no—
573C4⋊C4—91no—
574C4⋊C4—181no—
575C4⋊C4—181no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C22⋊C4—61no—
582C22⋊C4—91no—
583C22⋊C4—91no—
584C22⋊C4—181no—
585C22⋊C4—181no—
586C22⋊C4—181no—
587C42—31no—
588C42—61no—
589C42—91no—
590C42—181no—
591C42—181no—
592C42—181no—
593C22×C3—21no—
594C22×C3—61no—
595C22×C3—61no—
596C22×C3—62no—
597C22×C3—61no—
598C22×C3—121no—
599C22×C3—121no—
600C22×C3C2×D3×D411yescharacteristic
601C22×C3C2×D3×D411yescharacteristic
602C2×D3—21no—
603C2×D3—21no—
604C2×D3—21no—
605C2×D3—22no—
606C2×D3—41no—
607C2×D3—41no—
608C3×C4—22no—
609C3×C4—22no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—42no—
613C3×C4—42no—
614C3×C4—41no—
615C3×C4—41no—
616C3×C4—61no—
617C3×C4—61no—
618C3×C4—61no—
619C3×C4—121no—
620C3×C4—121no—
621C3×C4—121no—
622C3×C4C2×#23711yescharacteristic
623C3×C4C2×#23711yescharacteristic
624C3×C4C2×#23711yescharacteristic
625C3×C4D3×#4111yescharacteristic
626Dic3—21no—
627Dic3—21no—
628Dic3—21no—
629Dic3—41no—
630Dic3—41no—
631Dic3—41no—
632Dic3—62no—
633Dic3—61no—
634Dic3—61no—
635Dic3—61no—
636Dic3—61no—
637Dic3—121no—
638Dic3—121no—
639Dic3—121no—
640Dic3—121no—
641Dic3—121no—
642Dic3—241no—
643Dic3—241no—
644C32#312011yescharacteristic, complemented, Sylow
645C23—31no—
646C23—61no—
647Q8—21no—
648Q8—21no—
649Q8—21no—
650Q8—61no—
651Q8—61no—
652Q8#380512yes—
653D4—32no—
654D4—64no—
655D4—61no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—31no—
659C2×C4—31no—
660C2×C4—31no—
661C2×C4—64no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—91no—
668C2×C4—91no—
669C2×C4—181no—
670C2×C4—181no—
671C2×C4—721no—
672C2×C4—721no—
673C2×C4—721no—
674C2×C4C22×D3211yescharacteristic
675C8—21no—
676C8—61no—
677C8—61no—
678C8—181no—
679C2×C3—21no—
680C2×C3—21no—
681C2×C3—21no—
682C2×C3—121no—
683C2×C3—122no—
684C2×C3#558611yescharacteristic
685C2×C3#560611yescharacteristic
686C2×C3#576611yescharacteristic
687C2×C3#577111yescharacteristic
688C2×C3#577811yescharacteristic
689C2×C3#577811yescharacteristic
690D3—41no—
691D3—42no—
692C22—62no—
693C22—61no—
694C22—61no—
695C22—61no—
696C22—121no—
697C22—121no—
698C22D32×D411yescharacteristic
699C4—22no—
700C4—41no—
701C4—61no—
702C4—61no—
703C4—61no—
704C4—121no—
705C4—121no—
706C4—121no—
707C4—181no—
708C4—181no—
709C4—361no—
710C4—361no—
711C4D3×#23711yescharacteristic
712C4C2×#380511yescharacteristic
713C3—21no—
714C3#8021711yescharacteristic, complemented
715C3#8046011yescharacteristic, complemented
716C2—121no—
717C2—122no—
718C2#1059476711yescharacteristic
719C2#1059476811yescharacteristic
720C2#1059513011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×Q16C22
socleC22×C32C22×D4
prime radicalC2×C3×#239C22
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
2. #10595349C2semidirect
3. Q16×C3⋊Dic3C2semidirect
5. C3×#5182C2semidirect
7. #10591582C2semidirect
8. #10591572C2semidirect
9. #10591564C2semidirect
10. #10591549C2semidirect
11. #10591547C2semidirect
12. #10590767C2semidirect
13. #10590742C2semidirect
14. #10590698C2semidirect
15. #10590682C2semidirect
71. #5182D3semidirect
644. C32#3120semidirect
714. C3#80217semidirect
715. C3#80460semidirect

Maximal subgroups

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

subgroupindex
#105953942
#105953492
Q16×C3⋊Dic32
C3×#51872
C3×#51822
#105915972
#105915822
#105915722
#105915642
#105915492
#105915472
#105907672
#105907422
#105906982
#105906822
#804603
#802173