Finite Group Databasebeta

← #11897537

Subgroups — #11897537

Order 1152.

793 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5727C211yesmaximal, characteristic, complemented
2#10593929C211yesmaximal, characteristic, complemented
3#10592780C211yesmaximal, characteristic, complemented
4C3×#5084C211yesmaximal, characteristic, complemented
5#10590558C211yesmaximal, characteristic, complemented
6#10590545C211yesmaximal, characteristic, complemented
7#10590465C211yesmaximal, characteristic, complemented
8#10590463C211yesmaximal, characteristic, complemented
9#10590455C211yesmaximal, characteristic
10#10590452C211yesmaximal, characteristic
11#10590421C211yesmaximal, characteristic, complemented
12#10590412C211yesmaximal, characteristic, complemented
13#10590344C211yesmaximal, characteristic
14#10590271C211yesmaximal, characteristic, complemented
15#10590252C211yesmaximal, characteristic, complemented
16#83564—31nomaximal
17#81055—31nomaximal
18C2×C3×D3×Q8—21no—
19C32×C4⋊Q8C2211yescharacteristic
20#64079C2211yescharacteristic
21C3×#946—21no—
22C3×#896—21no—
23C3×#896—21no—
24C3×#893C2211yescharacteristic
25C3×#893C2211yescharacteristic
26C3×#888C2211yescharacteristic
27C3×#888C2211yescharacteristic
28C3×C4×D12C2211yescharacteristic
29C3×C4×D12C2211yescharacteristic
30C3×C4×Dic6C2211yescharacteristic
31#63918C2211yescharacteristic
32#63899—21no—
33Dic3×D12C2211yescharacteristic
34Dic3×D12C2211yescharacteristic
35#63887—21no—
36D3×Dic3⋊C4—21no—
37#63869C2211yescharacteristic
38#63851—21no—
39C2×#3713C2211yescharacteristic
40#63635C2211yescharacteristic
41#63635C2211yescharacteristic
42#63634C2211yescharacteristic
43#63634C2211yescharacteristic
44#63630C2211yescharacteristic
45C3×#809C2211yescharacteristic
46C3×#809C2211yescharacteristic
47C3×#808C2211yescharacteristic
48C3×#808C2211yescharacteristic
49C3×C4⋊(C3⋊C8)C2211yescharacteristic
50#63575C2211yescharacteristic
51#63574C2211yescharacteristic
52#63573C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63563C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×D4×Q8—31no—
62#5727D311yescharacteristic, complemented
63#5579—31no—
64#5539—31no—
65C3×#476—31no—
66#5087—31no—
67#5084—31no—
68#5084D311yescharacteristic, complemented
69#5081—31no—
70#5081—31no—
71#5081—31no—
72#5081—61no—
73#5080—31no—
74#5024—31no—
75#5014—31no—
76#5014—31no—
77#5014—31no—
78C4×#213—31no—
79#5009—31no—
80#5009—31no—
81#5008—31no—
82#4871—31no—
83#4870—31no—
84#4856—31no—
85#4855—31no—
86#4847—31no—
87#4828—31no—
88#4785—31no—
89#4761—31no—
90#4759—31no—
91#4756—31no—
92C2×C32×Q8—21no—
93C3×D3×Q8—44no—
94C2×C3×D12C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3—21no—
100C2×C3×Dic6—21no—
101C2×C3×Dic6—21no—
102C2×C3×Dic6D411yescharacteristic
103C2×#627—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C32×C4⋊C4—21no—
107C32×C4⋊C4C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109C32×C42C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113#3750—21no—
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4D411yescharacteristic
126C3×Dic3⋊C4D411yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136#3713Q814yescomplemented
137#3384—91noSylow
138C22×C3×Q8—61no—
139C2×D3×Q8—21no—
140C3×C4⋊Q8—21no—
141C3×C4⋊Q8—31no—
142C3×C4⋊Q8—31no—
143C3×C4⋊Q8C2×D311yescharacteristic
144C3×C4⋊Q8C2×D311yescharacteristic
145C3×C22⋊Q8—61no—
146C3×C22⋊Q8—61no—
147C3×C22⋊Q8—61no—
148C3×C4×Q8—31no—
149C3×C4×D4—31no—
150C3×C4×D4—31no—
151C3×C4×D4—31no—
152C3×C4×D4—31no—
153#946—21no—
154#946—61no—
155D4×Dic3—31no—
156D4×Dic3—31no—
157C2×#213—31no—
158C2×#213—31no—
159#924—61no—
160C2×Dic3⋊C4—61no—
161#896—21no—
162#896—21no—
163#896—61no—
164#896—61no—
165#893C2×D311yescharacteristic
166#893C2×D311yescharacteristic
167D3×C4⋊C4—61no—
168#890—31no—
169#888—31no—
170#888C2×D311yescharacteristic
171#888C2×D311yescharacteristic
172#878—61no—
173#878—61no—
174C4×D12—31no—
175C4×D12—31no—
176C4×D12C2×D311yescharacteristic
177C4×D12C2×D311yescharacteristic
178#870—31no—
179#870—31no—
180#870—31no—
181#870—61no—
182#869—31no—
183C4×Dic6C2×D311yescharacteristic
184C3×#106—31no—
185C3×#106—31no—
186C3×C4⋊C8—31no—
187C3×#102—31no—
188C3×#102—31no—
189#832—31no—
190#832—31no—
191#832—31no—
192#832—31no—
193#821—31no—
194#821—31no—
195#818—31no—
196#817—31no—
197#815—31no—
198Dic3⋊C8—31no—
199Dic3⋊C8—31no—
200C8×Dic3—31no—
201#809—31no—
202#809—31no—
203#809C2×D311yescharacteristic
204#809C2×D311yescharacteristic
205#808—31no—
206#808—31no—
207#808—31no—
208#808—31no—
209#808—31no—
210#808—31no—
211#808—31no—
212#808—61no—
213#808—61no—
214#808C2×D311yescharacteristic
215#808C2×D311yescharacteristic
216#807—31no—
217#807—31no—
218#807—31no—
219#807—31no—
220#807—31no—
221#807—61no—
222#807—61no—
223C4⋊(C3⋊C8)—31no—
224C4⋊(C3⋊C8)—31no—
225C4⋊(C3⋊C8)C2×D311yescharacteristic
226#803—31no—
227#803—31no—
228#803—31no—
229#803—61no—
230C4×C3⋊C8—31no—
231C22×C3×D3—21no—
232C22×C3×D3—21no—
233C32×Q8—42no—
234C2×C32×C4—21no—
235C2×C32×C4—21no—
236C2×C32×C4C2×D411yescharacteristic
237C2×C32×C4C2×D411yescharacteristic
238C2×C32×C4C2411yescharacteristic
239C2×C3⋊Dic3—21no—
240C2×C3⋊Dic3—21no—
241C2×C3×Dic3—21no—
242C2×C3×Dic3—21no—
243C2×C3×Dic3C2×D411yescharacteristic
244C2×C3×Dic3C2×D411yescharacteristic
245C2×C3×Dic3C2×D411yescharacteristic
246C2×C3×Dic3C2×D411yescharacteristic
247C3×D12—21no—
248C3×D12—21no—
249C3×D12C2×Q812yes—
250C3×D12C2×Q812yescomplemented
251C3×C4×D3—42no—
252C3×C4×D3—42no—
253C3×C4×D3—42no—
254C3×C4×D3—81no—
255C3×Dic6—22no—
256C3×Dic6—42no—
257C3×Dic6—42no—
258#627—81no—
259D3×Dic3—42no—
260D3×Dic3—81no—
261C3⋊(C3⋊C8)—21no—
262C3⋊(C3⋊C8)C2×Q812yescomplemented
263C3×C3⋊C8—21no—
264C3×C3⋊C8—21no—
265#554—91no—
266D4×Q8—31no—
267#501—91no—
268#501—91no—
269#498—91no—
270#478—91no—
271#478—91no—
272#476—31no—
273#476—91no—
274#476—91no—
275#474—91no—
276#446—91no—
277#442—91no—
278#442—91no—
279C4×D8—91no—
280C2×C3×Q8—21no—
281C2×C3×Q8—21no—
282C2×C3×Q8—31no—
283C2×C3×Q8—41no—
284C2×C3×Q8—61no—
285C2×C3×Q8—61no—
286C2×C3×Q8—124no—
287C2×C3×D4—31no—
288C2×C3×D4—31no—
289C22×C3×C4—61no—
290C22×C3×C4—61no—
291C22×C3×C4—61no—
292C22×C3×C4—61no—
293C22×Dic3—61no—
294C22×Dic3—61no—
295D3×Q8—44no—
296C2×D12C22×D311yescharacteristic
297C2×D12C22×D311yescharacteristic
298C2×C4×D3—21no—
299C2×C4×D3—21no—
300C2×C4×D3—21no—
301C2×C4×D3—21no—
302C2×C4×D3—61no—
303C2×C4×D3—61no—
304C2×Dic6—21no—
305C2×Dic6—21no—
306C2×Dic6—61no—
307C2×Dic6—61no—
308C2×Dic6#6711yescharacteristic
309C2×C3×C8—31no—
310C2×C3×C8—31no—
311C3×C4⋊C4—21no—
312C3×C4⋊C4—21no—
313C3×C4⋊C4—21no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—41no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4C22×D311yescharacteristic
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C4⋊C4C22×D311yescharacteristic
326C3×C4⋊C4C22×D311yescharacteristic
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C42—21no—
332C3×C42—31no—
333C3×C42—31no—
334C3×C42C22×D311yescharacteristic
335C3×C42C22×D311yescharacteristic
336#217—61no—
337#217—61no—
338#213—34no—
339#213—34no—
340(C2×D3)⋊C4—21no—
341(C2×D3)⋊C4—21no—
342(C2×D3)⋊C4—21no—
343(C2×D3)⋊C4—21no—
344(C2×D3)⋊C4—61no—
345(C2×D3)⋊C4—61no—
346C4⋊Dic3—31no—
347C4⋊Dic3—31no—
348C4⋊Dic3—31no—
349C4⋊Dic3—31no—
350C4⋊Dic3—61no—
351C4⋊Dic3—61no—
352C4⋊Dic3—61no—
353C4⋊Dic3—61no—
354C4⋊Dic3#6711yescharacteristic
355C4⋊Dic3C22×D311yescharacteristic
356C4⋊Dic3C22×D311yescharacteristic
357Dic3⋊C4—21no—
358Dic3⋊C4—21no—
359Dic3⋊C4—61no—
360Dic3⋊C4—61no—
361Dic3⋊C4—61no—
362Dic3⋊C4—61no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—121no—
368Dic3⋊C4—121no—
369Dic3⋊C4#6711yescharacteristic
370Dic3⋊C4#6711yescharacteristic
371C4×Dic3C22×D311yescharacteristic
372C4×Dic3C22×D311yescharacteristic
373C2×C3⋊C8—31no—
374C2×C3⋊C8—31no—
375C2×C3⋊C8—31no—
376C2×C3⋊C8—31no—
377C2×C3⋊C8—61no—
378C2×C3⋊C8—61no—
379C2×C3⋊C8C22×D311yescharacteristic
380C2×C3⋊C8C22×D311yescharacteristic
381C22×C32C22×D411yescharacteristic
382C2×C3×D3—22no—
383C2×C3×D3—22no—
384C2×C3×D3—41no—
385C2×C3×D3—41no—
386C2×C3×D3—41no—
387C2×C3×D3—41no—
388C32×C4—21no—
389C32×C4—21no—
390C32×C4—41no—
391C32×C4—41no—
392C32×C4C22×Q811yescharacteristic
393C32×C42−1+411yescharacteristic
394C3⋊Dic3—41no—
395C3⋊Dic3—41no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—21no—
399C3×Dic3—41no—
400C3×Dic3—41no—
401C3×Dic3AGL(1,ℤ/8)12yes—
402C22×Q8—61no—
403C2×D8—91no—
404C4⋊Q8—31no—
405C4⋊Q8—31no—
406C4⋊Q8—91no—
407C4⋊Q8D3211yescharacteristic
408#125—91no—
409#125—91no—
410C22⋊Q8—61no—
411C22⋊Q8—61no—
412C22⋊Q8—61no—
413C22⋊Q8—181no—
414C22⋊Q8—181no—
415C22⋊Q8—181no—
416C4×Q8—31no—
417C4×D4—31no—
418C4×D4—31no—
419C4×D4—31no—
420C4×D4—31no—
421C4×D4—91no—
422C4×D4—91no—
423C2×C4⋊C4—181no—
424#107—91no—
425#107—91no—
426#107—91no—
427#106—31no—
428#106—31no—
429#106—91no—
430#106—91no—
431#106—91no—
432#106—91no—
433C4⋊C8—31no—
434C4⋊C8—91no—
435C4⋊C8—91no—
436#102—31no—
437#102—31no—
438#102—91no—
439#102—91no—
440#102—91no—
441#102—91no—
442#97—91no—
443#97—91no—
444C4×C8—91no—
445C23×C3—61no—
446C23×C3—61no—
447C22×D3—21no—
448C22×D3—21no—
449C3×Q8—42no—
450C3×Q8—42no—
451C3×Q8—62no—
452C3×Q8—82no—
453C3×Q8—122no—
454C3×Q8—122no—
455C3×D4—32no—
456C3×D4—32no—
457C3×D4—61no—
458C3×D4—61no—
459C2×C3×C4—21no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—21no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—21no—
466C2×C3×C4—31no—
467C2×C3×C4—31no—
468C2×C3×C4—31no—
469C2×C3×C4—31no—
470C2×C3×C4—41no—
471C2×C3×C4—41no—
472C2×C3×C4—61no—
473C2×C3×C4—61no—
474C2×C3×C4—122no—
475C2×C3×C4—122no—
476C2×C3×C4—122no—
477C2×C3×C4—241no—
478C2×C3×C4D3×D411yescharacteristic
479C2×C3×C4D3×D411yescharacteristic
480C2×C3×C4C2×#6711yescharacteristic
481C2×C3×C4C2×#6711yescharacteristic
482C2×C3×C4C23×D311yescharacteristic
483C2×C3×C4C23×D311yescharacteristic
484C2×Dic3—21no—
485C2×Dic3—21no—
486C2×Dic3—61no—
487C2×Dic3—61no—
488C2×Dic3—61no—
489C2×Dic3—61no—
490C2×Dic3—121no—
491C2×Dic3—121no—
492C2×Dic3—122no—
493C2×Dic3—241no—
494C2×Dic3C2×#6711yescharacteristic
495C2×Dic3C2×#6711yescharacteristic
496C2×Dic3C2×#6711yescharacteristic
497C2×Dic3C2×#6711yescharacteristic
498D12—21no—
499D12—21no—
500D12D3×Q812yes—
501D12D3×Q812yescomplemented
502C4×D3—42no—
503C4×D3—42no—
504C4×D3—42no—
505C4×D3—81no—
506C4×D3—122no—
507C4×D3—241no—
508Dic6—22no—
509Dic6—42no—
510Dic6—42no—
511Dic6—241no—
512Dic6—241no—
513C3×C8—61no—
514C3×C8—61no—
515C3⋊C8—21no—
516C3⋊C8—21no—
517C3⋊C8—32no—
518C3⋊C8—32no—
519C3⋊C8—62no—
520C3⋊C8—62no—
521C3⋊C8—61no—
522C3⋊C8—61no—
523C2×C32D4×Q811yescharacteristic
524C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
525C2×C32#57711yescharacteristic
526C3×D3—42no—
527C3×D3—42no—
528C2×Q8—21no—
529C2×Q8—31no—
530C2×Q8—61no—
531C2×Q8—61no—
532C2×Q8—124no—
533C2×Q8—181no—
534C2×D4—31no—
535C2×D4—31no—
536C22×C4—61no—
537C22×C4—61no—
538C22×C4—61no—
539C22×C4—61no—
540C22×C4—181no—
541C22×C4—181no—
542D8—94no—
543C2×C8—31no—
544C2×C8—31no—
545C2×C8—91no—
546C2×C8—91no—
547C4⋊C4—21no—
548C4⋊C4—31no—
549C4⋊C4—31no—
550C4⋊C4—31no—
551C4⋊C4—31no—
552C4⋊C4—31no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—91no—
556C4⋊C4—91no—
557C4⋊C4—181no—
558C4⋊C4—181no—
559C4⋊C4—181no—
560C4⋊C4—181no—
561C4⋊C4—181no—
562C4⋊C4C2×D3211yescharacteristic
563C4⋊C4C2×D3211yescharacteristic
564C22⋊C4—61no—
565C22⋊C4—61no—
566C22⋊C4—61no—
567C22⋊C4—61no—
568C22⋊C4—181no—
569C22⋊C4—181no—
570C42—31no—
571C42—31no—
572C42C2×D3211yescharacteristic
573C22×C3—21no—
574C22×C3—62no—
575C22×C3—62no—
576C22×C3—121no—
577C22×C3—121no—
578C22×C3—121no—
579C22×C3—121no—
580C22×C3C2×D3×D411yescharacteristic
581C22×C3C22×#6711yescharacteristic
582C2×D3—22no—
583C2×D3—22no—
584C2×D3—41no—
585C2×D3—41no—
586C2×D3—41no—
587C2×D3—41no—
588C3×C4—21no—
589C3×C4—21no—
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—32no—
595C3×C4—41no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—41no—
599C3×C4—41no—
600C3×C4—41no—
601C3×C4—61no—
602C3×C4—61no—
603C3×C4—61no—
604C3×C4—81no—
605C3×C4—81no—
606C3×C4—121no—
607C3×C4—121no—
608C3×C4C2×D3×Q811yescharacteristic
609C3×C4C2×D3×Q811yescharacteristic
610C3×C4#100711yescharacteristic
611C3×C4#101011yescharacteristic
612Dic3—21no—
613Dic3—21no—
614Dic3—21no—
615Dic3—41no—
616Dic3—41no—
617Dic3—121no—
618Dic3—121no—
619Dic3—121no—
620Dic3—121no—
621Dic3—241no—
622Dic3—241no—
623Dic3#93212yes—
624C32#338411yescharacteristic, complemented, Sylow
625C23—61no—
626C23—61no—
627Q8—42no—
628Q8—62no—
629Q8—122no—
630Q8—122no—
631Q8—721no—
632D4—32no—
633D4—32no—
634D4—61no—
635D4—61no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—31no—
639C2×C4—31no—
640C2×C4—31no—
641C2×C4—31no—
642C2×C4—61no—
643C2×C4—61no—
644C2×C4—122no—
645C2×C4—122no—
646C2×C4—122no—
647C2×C4—181no—
648C2×C4—181no—
649C2×C4—241no—
650C2×C4—362no—
651C2×C4—721no—
652C2×C4D3×#6711yescharacteristic
653C2×C4D3×#6711yescharacteristic
654C2×C4C22×D3211yescharacteristic
655C8—61no—
656C8—61no—
657C8—92no—
658C8—181no—
659C2×C3—21no—
660C2×C3—21no—
661C2×C3—21no—
662C2×C3—122no—
663C2×C3—122no—
664C2×C3#563211yescharacteristic
665C2×C3#576211yescharacteristic
666C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
667C2×C3C2×#93211yescharacteristic
668C2×C3Q8×#6711yescharacteristic
669C2×C3#583711yescharacteristic
670D3—42no—
671D3—42no—
672C22—62no—
673C22—62no—
674C22—121no—
675C22—121no—
676C22—121no—
677C22—121no—
678C22C2×D3×#6711yescharacteristic
679C4—21no—
680C4—21no—
681C4—32no—
682C4—41no—
683C4—41no—
684C4—61no—
685C4—61no—
686C4—61no—
687C4—121no—
688C4—121no—
689C4—361no—
690C4—361no—
691C4#6431511yescharacteristic
692C4D32×Q811yescharacteristic
693C3—21no—
694C3#8105511yescharacteristic, complemented
695C3#8356411yescharacteristic, complemented
696C2—122no—
697C2—122no—
698C2D3×#93211yescharacteristic
699C2#1059531811yescharacteristic
700C2#1059540011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊Q8C22
socleC22×C32C22×D4
prime radicalC2×#3713C22
hypercenterC4⋊Q8D32
hypocenterC32#3384
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5727C2semidirect
2. #10593929C2semidirect
3. #10592780C2semidirect
4. C3×#5084C2semidirect
5. #10590558C2semidirect
6. #10590545C2semidirect
7. #10590465C2semidirect
8. #10590463C2semidirect
11. #10590421C2semidirect
12. #10590412C2semidirect
14. #10590271C2semidirect
15. #10590252C2semidirect
62. #5727D3semidirect
68. #5084D3semidirect
136. #3713Q8semidirect
250. C3×D12C2×Q8semidirect
262. C3⋊(C3⋊C8)C2×Q8semidirect
501. D12D3×Q8semidirect
624. C32#3384semidirect
694. C3#81055semidirect
695. C3#83564semidirect

Maximal subgroups

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

subgroupindex
C3×#57272
#105939292
#105927802
C3×#50842
#105905582
#105905452
#105904652
#105904632
#105904552
#105904522
#105904212
#105904122
#105903442
#105902712
#105902522
#835643
#810553