Finite Group Databasebeta

← #11895958

Subgroups — #11895958

Order 1152.

828 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595422C211yesmaximal, characteristic, complemented
2#10595143C211yesmaximal, characteristic
3#10592862C211yesmaximal, characteristic, complemented
4C3×#5164C211yesmaximal, characteristic, complemented
5C3×#5163C211yesmaximal, characteristic, complemented
6#10591617C211yesmaximal, characteristic, complemented
7#10591572C211yesmaximal, characteristic, complemented
8#10591536C211yesmaximal, characteristic, complemented
9#10591487C211yesmaximal, characteristic, complemented
10#10591480C211yesmaximal, characteristic, complemented
11#10591411C211yesmaximal, characteristic, complemented
12#10590882C211yesmaximal, characteristic, complemented
13#10590786C211yesmaximal, characteristic, complemented
14#10590780C211yesmaximal, characteristic, complemented
15#10590764C211yesmaximal, characteristic, complemented
16#80371—31nomaximal
17#79752—31nomaximal
18C2×#3804—21no—
19C2×C32×SD16C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21C2×#3755C2211yescharacteristic
22#64149C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C3×Q8×Dic3C2211yescharacteristic
25C2×C3×#215C2211yescharacteristic
26C3×#940C2211yescharacteristic
27C3×D4×Dic3C2211yescharacteristic
28#63978—21no—
29#63971—21no—
30#63958—21no—
31#63918—21no—
32#63918C2211yescharacteristic
33C4×#627—21no—
34C4×#627C2211yescharacteristic
35#63911C2211yescharacteristic
36#63898C2211yescharacteristic
37#63894C2211yescharacteristic
38#63872—21no—
39#63872C2211yescharacteristic
40#63869—21no—
41#63869C2211yescharacteristic
42#63659C2211yescharacteristic
43#63648C2211yescharacteristic
44#63641C2211yescharacteristic
45C3×#835C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×#815C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52#63575C2211yescharacteristic
53#63574C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63564C2211yescharacteristic
56#63564C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63555C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5718—31no—
62#5570—31no—
63#5569—31no—
64#5553—31no—
65C3×#460—31no—
66C3×#440—31no—
67#5164—31no—
68#5164D311yescharacteristic, complemented
69#5163—31no—
70#5163—31no—
71#5163—31no—
72#5163—61no—
73#5163D311yescharacteristic, complemented
74#5070—31no—
75#5027—31no—
76C4×#215—31no—
77#5009—31no—
78#4891—31no—
79#4890—31no—
80#4846—31no—
81#4831—31no—
82#4817—31no—
83#4788—31no—
84#4766—31no—
85#4766—31no—
86#4764—31no—
87#4764—31no—
88#4764—31no—
89#4760—31no—
90#4713—31no—
91#4701—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C2×#638—21no—
95C2×#638—21no—
96C2×C4⋊(C3⋊D3)C2311yescharacteristic
97C2×C3×#67—21no—
98C2×C3×#67—21no—
99C22×C3×Dic3—21no—
100C2×C3×D12C2311yescharacteristic
101C2×#627—21no—
102C2×#627D411yescharacteristic
103C2×#626—21no—
104C2×#626—21no—
105C2×#624—21no—
106#3804—44no—
107C2×D3×Dic3—21no—
108C32×SD16—22no—
109C2×C32×C8C2311yescharacteristic
110#3755—22no—
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4×C3⋊Dic3—21no—
114C4×C3⋊Dic3C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×#217—21no—
117C3×#215—22no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4×Dic3—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129#3724—21no—
130#3724D411yescharacteristic
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3D411yescharacteristic
136Dic3⋊Dic3D411yescharacteristic
137#3722—21no—
138(C2×D3)⋊Dic3—21no—
139#3368—91noSylow
140C2×#237—61no—
141C2×#235—61no—
142C2×C3×SD16—21no—
143C2×C3×SD16—31no—
144C2×C3×SD16C2×D311yescharacteristic
145C2×C3×SD16C2×D311yescharacteristic
146C3×#127—31no—
147C3×C4×Q8—31no—
148C3×C4×Q8—31no—
149C3×C4×D4—31no—
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152Q8×Dic3—61no—
153Q8×Dic3C2×D311yescharacteristic
154Q8×Dic3C2×D311yescharacteristic
155C2×#215—31no—
156C2×#215—31no—
157C2×#215—61no—
158C2×#215C2×D311yescharacteristic
159#940—31no—
160#940—31no—
161#940—31no—
162#940—61no—
163#940C2×D311yescharacteristic
164#939—61no—
165#939—61no—
166#938—61no—
167D4×Dic3—31no—
168D4×Dic3C2×D311yescharacteristic
169#930—61no—
170#893—31no—
171#893—31no—
172#890—31no—
173#890—31no—
174#890—31no—
175#890—61no—
176#890—61no—
177#890—61no—
178#888—31no—
179#888—61no—
180#884—61no—
181#884—61no—
182#874—31no—
183C4×D12—31no—
184#870—31no—
185#870—61no—
186#869—31no—
187#869—61no—
188C4×Dic6—31no—
189C4×Dic6—31no—
190C4×Dic6—61no—
191C4×Dic6—61no—
192C3×#107—31no—
193C3×C4⋊C8—31no—
194C3×#103—31no—
195C3×#102—31no—
196C3×#102—31no—
197C3×#102—31no—
198C3×#97—31no—
199#835C2×D311yescharacteristic
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#832—61no—
205#832C2×D311yescharacteristic
206#832C2×D311yescharacteristic
207#821—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—61no—
213#821C2×D311yescharacteristic
214#818—31no—
215#818C2×D311yescharacteristic
216#815—31no—
217#815—31no—
218#815C2×D311yescharacteristic
219Dic3⋊C8—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8—31no—
222Dic3⋊C8—61no—
223Dic3⋊C8C2×D311yescharacteristic
224C8×Dic3—31no—
225#809—31no—
226#809—31no—
227#809—31no—
228#808—31no—
229#808—31no—
230#807—31no—
231C4⋊(C3⋊C8)—31no—
232C4×C3⋊C8—31no—
233C23×C32—21no—
234C22×C3⋊D3—21no—
235C22×C3×D3—21no—
236C32×Q8—21no—
237C32×Q8#4112yescomplemented
238C32×D4—21no—
239C32×D4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242#638—42no—
243#638—81no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)—21no—
249C3×#67—42no—
250C3×#67—81no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—42no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×D12—21no—
260C3×D12—21no—
261#627—22no—
262#627—42no—
263#626—42no—
264#626—81no—
265#624—42no—
266D3×Dic3—42no—
267C32×C8—21no—
268C3⋊(C3⋊C8)—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271#557—91no—
272#550—91no—
273#490—91no—
274#490—91no—
275#486—91no—
276#478—91no—
277#478—91no—
278#474—91no—
279#460—31no—
280#460—91no—
281#460—91no—
282#446—91no—
283#440—31no—
284#440—91no—
285C4×SD16—91no—
286C2×C3×Q8—21no—
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×Q8C22×D311yescharacteristic
289C2×C3×D4—21no—
290C2×C3×D4—31no—
291C2×C3×D4—61no—
292C2×C3×D4—61no—
293C2×C3×D4C22×D311yescharacteristic
294C2×C3×D4C22×D311yescharacteristic
295C22×C3×C4—61no—
296C2×#67—21no—
297C2×#67—21no—
298C2×#67—61no—
299C2×#67—61no—
300C2×#67—61no—
301C2×#67—61no—
302C2×#67—61no—
303C2×#67—61no—
304C2×#67—121no—
305C2×#67—121no—
306C22×Dic3—21no—
307C22×Dic3—61no—
308#237—124no—
309#235—124no—
310C2×D12—31no—
311C2×D12—31no—
312C2×D12—61no—
313C2×D12—61no—
314C2×D12—61no—
315C2×D12C22×D311yescharacteristic
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×Dic6—31no—
320C2×Dic6—31no—
321C2×Dic6—61no—
322C2×Dic6—61no—
323C3×SD16—22no—
324C3×SD16—22no—
325C3×SD16—42no—
326C3×SD16—62no—
327C2×C3×C8—21no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C2×C3×C8C22×D311yescharacteristic
331C2×C3×C8C22×D311yescharacteristic
332C3×C4⋊C4—31no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C22⋊C4—61no—
338C3×C42—31no—
339C3×C42—31no—
340C3×C42—61no—
341C3×C42—61no—
342#217—21no—
343#217—61no—
344#215—22no—
345#215—62no—
346#215—62no—
347#215—122no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351C4⋊Dic3—21no—
352C4⋊Dic3—21no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—121no—
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368Dic3⋊C4—31no—
369Dic3⋊C4—31no—
370Dic3⋊C4—31no—
371Dic3⋊C4—31no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378C4×Dic3—21no—
379C4×Dic3—21no—
380C4×Dic3—31no—
381C4×Dic3—31no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—121no—
386C4×Dic3C22×D311yescharacteristic
387C4×Dic3C22×D311yescharacteristic
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8C22×D311yescharacteristic
392C2×C3⋊C8C22×D311yescharacteristic
393C22×C32—41no—
394C22×C32—41no—
395C22×C32—41no—
396C22×C32C22×D411yescharacteristic
397C2×C3⋊D3—41no—
398C2×C3⋊D3—41no—
399C2×C3⋊D3—41no—
400C2×C3×D3—41no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C32×C4—22no—
404C32×C4C2×#4111yescharacteristic
405C32×C42−1+411yescharacteristic
406C3⋊Dic3—21no—
407C3⋊Dic3—21no—
408C3⋊Dic3—41no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C3×Dic3—41no—
415C3×Dic3AGL(1,ℤ/8)12yes—
416C2×#41—181no—
417C2×SD16—31no—
418C2×SD16—91no—
419C2×SD16D3211yescharacteristic
420C4⋊Q8—91no—
421C4⋊Q8—181no—
422#127—31no—
423#127—91no—
424#127—91no—
425#125—91no—
426#125—91no—
427#125—181no—
428#125—181no—
429#121—181no—
430#121—181no—
431#121—181no—
432C4×Q8—31no—
433C4×Q8—31no—
434C4×Q8—91no—
435C4×Q8—91no—
436C4×Q8—181no—
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—91no—
440#107—31no—
441#107—91no—
442#106—91no—
443C4⋊C8—31no—
444C4⋊C8—91no—
445C4⋊C8—91no—
446#103—31no—
447#102—31no—
448#102—31no—
449#102—31no—
450#102—91no—
451#102—91no—
452#102—91no—
453#102—91no—
454#102—91no—
455#102—91no—
456#97—31no—
457#97—91no—
458C4×C8—91no—
459C23×C3—21no—
460C23×C3—21no—
461C23×C3—41no—
462C23×C3—61no—
463C22×D3—21no—
464C22×D3—61no—
465C22×D3—61no—
466C22×D3—121no—
467C3×Q8—21no—
468C3×Q8—21no—
469C3×Q8—22no—
470C3×Q8—41no—
471C3×Q8#23512yescomplemented
472C3×Q8#23712yescomplemented
473C3×D4—21no—
474C3×D4—21no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—41no—
478C3×D4—41no—
479C3×D4—61no—
480C3×D4—61no—
481C3×D4—122no—
482C3×D4—241no—
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—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—122no—
495C2×C3×C4C23×D311yescharacteristic
496C2×C3×C4C23×D311yescharacteristic
497#67—42no—
498#67—81no—
499#67—122no—
500#67—122no—
501#67—122no—
502#67—242no—
503#67—241no—
504#67—241no—
505#67—241no—
506#67—242no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—42no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—121no—
520C2×Dic3—122no—
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523C2×Dic3D3×D411yescharacteristic
524C2×Dic3D3×D411yescharacteristic
525D12—21no—
526D12—21no—
527D12—61no—
528D12—61no—
529D12—61no—
530D12—61no—
531D12—121no—
532D12—121no—
533D12—122no—
534D12—241no—
535C4×D3—122no—
536C4×D3—122no—
537C4×D3—122no—
538Dic6—62no—
539Dic6—62no—
540Dic6—122no—
541Dic6—122no—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—41no—
545C3×C8—61no—
546C3×C8—61no—
547C3⋊C8—21no—
548C3⋊C8—21no—
549C3⋊C8—61no—
550C3⋊C8—61no—
551C3⋊C8—121no—
552C2×C32—81no—
553C2×C32#54811yescharacteristic
554C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
555C2×C32#57711yescharacteristic
556C3⋊D3—81no—
557C3×D3—81no—
558#41—364no—
559C2×Q8—91no—
560C2×Q8—181no—
561C2×Q8C2×D3211yescharacteristic
562C2×D4—31no—
563C2×D4—61no—
564C2×D4—61no—
565C2×D4—91no—
566C2×D4—181no—
567C2×D4—181no—
568C2×D4—181no—
569C2×D4—181no—
570C2×D4C2×D3211yescharacteristic
571C22×C4—61no—
572C22×C4—181no—
573C22×C4—181no—
574SD16—22no—
575SD16—62no—
576SD16—182no—
577C2×C8—31no—
578C2×C8—31no—
579C2×C8—91no—
580C2×C8C2×D3211yescharacteristic
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—91no—
587C4⋊C4—91no—
588C4⋊C4—91no—
589C4⋊C4—91no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C22⋊C4—61no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C42—31no—
600C42—31no—
601C42—61no—
602C42—61no—
603C42—91no—
604C42—181no—
605C22×C3—21no—
606C22×C3—41no—
607C22×C3—41no—
608C22×C3—41no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—81no—
613C22×C3—81no—
614C22×C3—81no—
615C22×C3—121no—
616C22×C3—121no—
617C22×C3—121no—
618C22×C3C2×D3×D411yescharacteristic
619C22×C3C2×D3×D411yescharacteristic
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—241no—
630C2×D3—241no—
631C2×D3—241no—
632C3×C4—22no—
633C3×C4—22no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—32no—
637C3×C4—42no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4C2×#23511yescharacteristic
645C3×C4C2×#23711yescharacteristic
646C3×C4#101011yescharacteristic
647C3×C4#101011yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—41no—
652Dic3—41no—
653Dic3—41no—
654Dic3—62no—
655Dic3—61no—
656Dic3—61no—
657Dic3—61no—
658Dic3—61no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—241no—
663Dic3#91412yes—
664C32#336811yescharacteristic, complemented, Sylow
665C23—21no—
666C23—61no—
667C23—181no—
668Q8—21no—
669Q8—182no—
670Q8—362no—
671Q8#380412yescomplemented
672D4—21no—
673D4—21no—
674D4—61no—
675D4—61no—
676D4—122no—
677D4—181no—
678D4—181no—
679D4—241no—
680D4—362no—
681D4—362no—
682D4—721no—
683D4—721no—
684C2×C4—21no—
685C2×C4—31no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—31no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—91no—
693C2×C4—91no—
694C2×C4—122no—
695C2×C4—181no—
696C2×C4—362no—
697C2×C4—362no—
698C2×C4C22×D3211yescharacteristic
699C8—21no—
700C8—61no—
701C8—61no—
702C8—181no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—81no—
707C2×C3—81no—
708C2×C3—161no—
709C2×C3—241no—
710C2×C3#555211yescharacteristic
711C2×C3#559811yescharacteristic
712C2×C3C2×#91411yescharacteristic
713C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
714C2×C3#577511yescharacteristic
715C2×C3#577811yescharacteristic
716D3—81no—
717D3—241no—
718D3—241no—
719D3—481no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—121no—
724C22—121no—
725C22—121no—
726C22—361no—
727C22—361no—
728C22—361no—
729C22D32×D411yescharacteristic
730C4—22no—
731C4—32no—
732C4—61no—
733C4—61no—
734C4—61no—
735C4—121no—
736C4—121no—
737C4—121no—
738C4—181no—
739C4—181no—
740C4—361no—
741C4#6430911yescharacteristic
742C4C2×#380411yescharacteristic
743C3—21no—
744C3#7975211yescharacteristic, complemented
745C3#8037111yescharacteristic, complemented
746C2—81no—
747C2—241no—
748C2—721no—
749C2D3×#91411yescharacteristic
750C2#1059475411yescharacteristic
751C2#1059514111yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×SD16C22
socleC22×C32C22×D4
prime radical#10595143C2
hypercenterC2×SD16D32
hypocenterC32#3368
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×SD16

Complements

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

NH ≅ G/Ntype
1. #10595422C2semidirect
3. #10592862C2semidirect
4. C3×#5164C2semidirect
5. C3×#5163C2semidirect
6. #10591617C2semidirect
7. #10591572C2semidirect
8. #10591536C2semidirect
9. #10591487C2semidirect
10. #10591480C2semidirect
11. #10591411C2semidirect
12. #10590882C2semidirect
13. #10590786C2semidirect
14. #10590780C2semidirect
15. #10590764C2semidirect
68. #5164D3semidirect
73. #5163D3semidirect
237. C32×Q8#41semidirect
471. C3×Q8#235semidirect
472. C3×Q8#237semidirect
664. C32#3368semidirect
671. Q8#3804semidirect
744. C3#79752semidirect
745. C3#80371semidirect

Maximal subgroups

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

subgroupindex
#105954222
#105951432
#105928622
C3×#51642
C3×#51632
#105916172
#105915722
#105915362
#105914872
#105914802
#105914112
#105908822
#105907862
#105907802
#105907642
#803713
#797523