Finite Group Databasebeta

← #11897594

Subgroups — #11897594

Order 1152.

799 conjugacy classes of subgroups.

The subgroup lattice has 707 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5690C211yesmaximal, characteristic, complemented
2#10593903C211yesmaximal, characteristic, complemented
3#10592765C211yesmaximal, characteristic, complemented
4C3×#5064C211yesmaximal, characteristic, complemented
5#10590589C211yesmaximal, characteristic
6#10590558C211yesmaximal, characteristic, complemented
7#10590555C211yesmaximal, characteristic, complemented
8#10590468C211yesmaximal, characteristic, complemented
9#10590466C211yesmaximal, characteristic, complemented
10#10590456C211yesmaximal, characteristic
11#10590418C211yesmaximal, characteristic, complemented
12#10590412C211yesmaximal, characteristic, complemented
13#10590346C211yesmaximal, characteristic
14#10590266C211yesmaximal, characteristic, complemented
15#10590251C211yesmaximal, characteristic, complemented
16#83630—31nomaximal
17#81964—31nomaximal
18C2×#3797—21no—
19C32×#125C2211yescharacteristic
20C4×C4⋊(C3⋊D3)C2211yescharacteristic
21C3×#897—21no—
22C3×#896—21no—
23C3×#896—21no—
24C3×#893C2211yescharacteristic
25C3×#893C2211yescharacteristic
26C3×D3×C4⋊C4—21no—
27C3×#890C2211yescharacteristic
28C3×#888C2211yescharacteristic
29C3×C4×D12C2211yescharacteristic
30C3×#869C2211yescharacteristic
31C3×C4×Dic6C2211yescharacteristic
32#63918C2211yescharacteristic
33#63918C2211yescharacteristic
34#63895—21no—
35#63895—21no—
36#63894C2211yescharacteristic
37#63894C2211yescharacteristic
38#63871—21no—
39C2×#3714C2211yescharacteristic
40#63636C2211yescharacteristic
41#63636C2211yescharacteristic
42#63635C2211yescharacteristic
43#63634C2211yescharacteristic
44C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
45C3×#808C2211yescharacteristic
46C3×#808C2211yescharacteristic
47C3×#807C2211yescharacteristic
48C3×#807C2211yescharacteristic
49C3×#803C2211yescharacteristic
50#63574C2211yescharacteristic
51#63574C2211yescharacteristic
52#63573C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63564C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#554—31no—
62#5727—31no—
63#5690D311yescharacteristic, complemented
64Q8×D12—31no—
65C3×#501—31no—
66#5084—31no—
67#5084—31no—
68#5080—31no—
69#5066—31no—
70#5066—31no—
71#5066—31no—
72#5066—61no—
73#5064—31no—
74#5064D311yescharacteristic, complemented
75#5024—31no—
76#5014—31no—
77#5014—31no—
78C4×#213—31no—
79#5008—31no—
80#5008—31no—
81#5007—31no—
82#4891—31no—
83#4890—31no—
84#4876—31no—
85#4872—31no—
86#4870—31no—
87#4870—31no—
88#4869—31no—
89#4855—31no—
90#4711—31no—
91#4701—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×C3×D12C2311yescharacteristic
95C2×C3×C4×D3—21no—
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3—21no—
98C2×C3×Dic6—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6D411yescharacteristic
101C2×#627—21no—
102C2×#627—21no—
103C2×#624—21no—
104C2×#624—21no—
105#3797—44no—
106C32×C4⋊C4—21no—
107C32×C4⋊C4—21no—
108C32×C4⋊C4C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C32×C42C2311yescharacteristic
111#3752—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4D411yescharacteristic
127C3×Dic3⋊C4D411yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C3×C4×Dic3C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134#3722—21no—
135#3722—21no—
136#3714Q814yescomplemented
137#3384—91noSylow
138C2×D3×Q8—61no—
139C2×D3×Q8—61no—
140C3×C4⋊Q8—31no—
141C3×C4⋊Q8—31no—
142C3×#125—21no—
143C3×#125—31no—
144C3×#125C2×D311yescharacteristic
145C3×#125C2×D311yescharacteristic
146C3×C22⋊Q8—61no—
147C3×C22⋊Q8—61no—
148C3×C22⋊Q8—61no—
149C3×C4×Q8—31no—
150C3×C4×D4—31no—
151C3×C4×D4—31no—
152C3×C4×D4—31no—
153C2×C3×C4⋊C4—61no—
154#946—61no—
155C2×#213—31no—
156C2×D24—31no—
157#897—21no—
158#897—61no—
159#897—61no—
160#897—61no—
161#896—21no—
162#896—21no—
163#896—61no—
164#896—61no—
165#893—31no—
166#893—31no—
167#893C2×D311yescharacteristic
168#893C2×D311yescharacteristic
169D3×C4⋊C4—21no—
170#890C2×D311yescharacteristic
171#888—31no—
172#888—31no—
173#888C2×D311yescharacteristic
174C4×D12—31no—
175C4×D12—31no—
176C4×D12—31no—
177C4×D12—31no—
178C4×D12—61no—
179C4×D12C2×D311yescharacteristic
180#869—31no—
181#869—31no—
182#869C2×D311yescharacteristic
183C4×Dic6C2×D311yescharacteristic
184C3×#107—31no—
185C3×#107—31no—
186C3×#106—31no—
187C3×#106—31no—
188C3×#97—31no—
189#832—31no—
190#832—31no—
191#832—31no—
192#821—31no—
193#821—31no—
194#817—31no—
195#815—31no—
196Dic3⋊C8—31no—
197Dic3⋊C8—31no—
198C8×Dic3—31no—
199#809—31no—
200#809—31no—
201#809—31no—
202#809—31no—
203#809—31no—
204#809—31no—
205#809—31no—
206#809—61no—
207#809—61no—
208#808—31no—
209#808—31no—
210#808—31no—
211#808—31no—
212#808—31no—
213#808—31no—
214#808—31no—
215#808—61no—
216#808C2×D311yescharacteristic
217#808C2×D311yescharacteristic
218#807—31no—
219#807—31no—
220#807—61no—
221#807C2×D311yescharacteristic
222#807C2×D311yescharacteristic
223C4⋊(C3⋊C8)—31no—
224C4⋊(C3⋊C8)—31no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)—61no—
228#803—31no—
229#803C2×D311yescharacteristic
230C4×C3⋊C8—31no—
231C22×C3⋊D3—21no—
232C22×C3×D3—21no—
233C2×C32×C4—21no—
234C2×C32×C4—21no—
235C2×C32×C4C2×D411yescharacteristic
236C2×C32×C4C2×D411yescharacteristic
237C2×C32×C4C2411yescharacteristic
238C2×C3⋊Dic3—21no—
239C4⋊(C3⋊D3)—21no—
240C4⋊(C3⋊D3)C2×Q812yes—
241C4×C3⋊D3—42no—
242C2×C3×Dic3—21no—
243C2×C3×Dic3—21no—
244C2×C3×Dic3—21no—
245C2×C3×Dic3C2×D411yescharacteristic
246C2×C3×Dic3C2×D411yescharacteristic
247C2×C3×Dic3C2×D411yescharacteristic
248C2×C3×Dic3C2×D411yescharacteristic
249C3×D12—21no—
250C3×D12C2×Q812yescomplemented
251C3×C4×D3—42no—
252C3×C4×D3—81no—
253C3×C4×D3—81no—
254C3×Dic6—22no—
255C3×Dic6—42no—
256C3×Dic6—81no—
257#627—42no—
258#627—42no—
259#624—42no—
260#624—42no—
261C3⋊(C3⋊C8)—21no—
262C3⋊(C3⋊C8)—21no—
263C3×C3⋊C8—21no—
264C3×C3⋊C8C2×Q812yescomplemented
265#554—31no—
266D4×Q8—91no—
267#501—31no—
268#501—91no—
269#498—91no—
270#478—91no—
271#478—91no—
272#476—91no—
273#476—91no—
274#476—91no—
275#474—91no—
276#446—91no—
277#442—91no—
278#442—91no—
279C4×D8—91no—
280C2×C3×Q8—31no—
281C2×C3×Q8—61no—
282C2×C3×Q8—61no—
283C2×C3×D4—31no—
284C22×C3×C4—61no—
285C22×C3×C4—61no—
286C22×C3×C4—61no—
287D3×Q8—124no—
288D3×Q8—124no—
289C2×D12—31no—
290C2×D12—31no—
291C2×D12—61no—
292C2×D12C22×D311yescharacteristic
293C2×C4×D3—21no—
294C2×C4×D3—21no—
295C2×C4×D3—21no—
296C2×C4×D3—61no—
297C2×C4×D3—61no—
298C2×C4×D3—61no—
299C2×C4×D3—61no—
300C2×C4×D3—61no—
301C2×C4×D3—61no—
302C2×C4×D3—121no—
303C2×Dic6—21no—
304C2×Dic6—21no—
305C2×Dic6—61no—
306C2×Dic6—61no—
307C2×Dic6—61no—
308C2×Dic6—61no—
309C2×Dic6#6711yescharacteristic
310C2×C3×C8—31no—
311C2×C3×C8—31no—
312C3×C4⋊C4—21no—
313C3×C4⋊C4—21no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—21no—
316C3×C4⋊C4—21no—
317C3×C4⋊C4—21no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—41no—
325C3×C4⋊C4—41no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4—61no—
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C4⋊C4C22×D311yescharacteristic
332C3×C4⋊C4C22×D311yescharacteristic
333C3×C4⋊C4C22×D311yescharacteristic
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C22⋊C4—61no—
337C3×C42—21no—
338C3×C42—31no—
339C3×C42—31no—
340C3×C42C22×D311yescharacteristic
341C3×C42C22×D311yescharacteristic
342#213—34no—
343(C2×D3)⋊C4—21no—
344(C2×D3)⋊C4—21no—
345(C2×D3)⋊C4—21no—
346(C2×D3)⋊C4—61no—
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—121no—
353C4⋊Dic3—21no—
354C4⋊Dic3—21no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3#6711yescharacteristic
361C4⋊Dic3C22×D311yescharacteristic
362C4⋊Dic3C22×D311yescharacteristic
363C4⋊Dic3C22×D311yescharacteristic
364Dic3⋊C4—21no—
365Dic3⋊C4—21no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4#6711yescharacteristic
369Dic3⋊C4#6711yescharacteristic
370C4×Dic3C22×D311yescharacteristic
371C4×Dic3C22×D311yescharacteristic
372C2×C3⋊C8—31no—
373C2×C3⋊C8—31no—
374C2×C3⋊C8—31no—
375C2×C3⋊C8—31no—
376C2×C3⋊C8—61no—
377C2×C3⋊C8—61no—
378C2×C3⋊C8C22×D311yescharacteristic
379C2×C3⋊C8C22×D311yescharacteristic
380D24—34no—
381C22×C32C22×D411yescharacteristic
382C2×C3⋊D3—22no—
383C2×C3⋊D3—41no—
384C2×C3⋊D3—41no—
385C2×C3×D3—22no—
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—21no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—41no—
399C3×Dic3—41no—
400C3×Dic3—41no—
401C3×Dic3AGL(1,ℤ/8)12yes—
402C22×Q8—181no—
403C2×D8—91no—
404C4⋊Q8—31no—
405C4⋊Q8—31no—
406C4⋊Q8—91no—
407C4⋊Q8—91no—
408#125—31no—
409#125D3211yescharacteristic
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—91no—
421C4×D4—91no—
422C4×D4—91no—
423C2×C4⋊C4—61no—
424#107—31no—
425#107—31no—
426#107—91no—
427#106—31no—
428#106—31no—
429#106—91no—
430#106—91no—
431#106—91no—
432#106—91no—
433C4⋊C8—91no—
434C4⋊C8—91no—
435C4⋊C8—91no—
436#102—91no—
437#102—91no—
438#102—91no—
439#102—91no—
440#102—91no—
441#102—91no—
442#97—31no—
443#97—91no—
444C4×C8—91no—
445C23×C3—61no—
446C22×D3—21no—
447C22×D3—61no—
448C22×D3—61no—
449C22×D3—121no—
450C3×Q8—62no—
451C3×Q8—122no—
452C3×Q8—241no—
453C3×D4—32no—
454C3×D4—61no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—21no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—31no—
463C2×C3×C4—31no—
464C2×C3×C4—31no—
465C2×C3×C4—31no—
466C2×C3×C4—41no—
467C2×C3×C4—41no—
468C2×C3×C4—61no—
469C2×C3×C4—61no—
470C2×C3×C4—61no—
471C2×C3×C4—122no—
472C2×C3×C4—241no—
473C2×C3×C4—241no—
474C2×C3×C4D3×D411yescharacteristic
475C2×C3×C4D3×D411yescharacteristic
476C2×C3×C4C2×#6711yescharacteristic
477C2×C3×C4C2×#6711yescharacteristic
478C2×C3×C4C23×D311yescharacteristic
479C2×C3×C4C23×D311yescharacteristic
480C2×Dic3—21no—
481C2×Dic3—21no—
482C2×Dic3—21no—
483C2×Dic3—61no—
484C2×Dic3—61no—
485C2×Dic3—121no—
486C2×Dic3C2×#6711yescharacteristic
487C2×Dic3C2×#6711yescharacteristic
488C2×Dic3C2×#6711yescharacteristic
489C2×Dic3C2×#6711yescharacteristic
490D12—21no—
491D12—32no—
492D12—32no—
493D12—62no—
494D12—61no—
495D12—61no—
496D12—121no—
497D12D3×Q812yescomplemented
498C4×D3—42no—
499C4×D3—81no—
500C4×D3—81no—
501C4×D3—122no—
502C4×D3—122no—
503C4×D3—122no—
504C4×D3—122no—
505C4×D3—122no—
506C4×D3—122no—
507C4×D3—242no—
508Dic6—22no—
509Dic6—42no—
510Dic6—81no—
511Dic6—122no—
512Dic6—122no—
513Dic6—122no—
514Dic6—122no—
515C3×C8—32no—
516C3×C8—61no—
517C3⋊C8—21no—
518C3⋊C8—61no—
519C3⋊C8—61no—
520C3⋊C8—61no—
521C3⋊C8—61no—
522C3⋊C8—121no—
523C3⋊C8—121no—
524C3⋊C8D3×Q812yescomplemented
525C2×C32D4×Q811yescharacteristic
526C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
527C2×C32#57711yescharacteristic
528C3⋊D3—42no—
529C3×D3—42no—
530C2×Q8—31no—
531C2×Q8—61no—
532C2×Q8—61no—
533C2×Q8—181no—
534C2×Q8—181no—
535C2×Q8—364no—
536C2×D4—31no—
537C2×D4—91no—
538C22×C4—61no—
539C22×C4—61no—
540C22×C4—61no—
541C22×C4—181no—
542C22×C4—181no—
543C22×C4—181no—
544D8—94no—
545C2×C8—31no—
546C2×C8—31no—
547C2×C8—91no—
548C2×C8—91no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—31no—
552C4⋊C4—31no—
553C4⋊C4—31no—
554C4⋊C4—31no—
555C4⋊C4—31no—
556C4⋊C4—31no—
557C4⋊C4—61no—
558C4⋊C4—61no—
559C4⋊C4—61no—
560C4⋊C4—61no—
561C4⋊C4—91no—
562C4⋊C4—181no—
563C4⋊C4—181no—
564C4⋊C4C2×D3211yescharacteristic
565C4⋊C4C2×D3211yescharacteristic
566C22⋊C4—61no—
567C22⋊C4—61no—
568C22⋊C4—61no—
569C22⋊C4—181no—
570C22⋊C4—181no—
571C22⋊C4—181no—
572C42—31no—
573C42—31no—
574C42C2×D3211yescharacteristic
575C22×C3—21no—
576C22×C3—62no—
577C22×C3—121no—
578C22×C3—121no—
579C22×C3C2×D3×D411yescharacteristic
580C22×C3C22×#6711yescharacteristic
581C2×D3—22no—
582C2×D3—41no—
583C2×D3—41no—
584C2×D3—62no—
585C2×D3—62no—
586C2×D3—122no—
587C2×D3—121no—
588C2×D3—121no—
589C2×D3—121no—
590C2×D3—121no—
591C2×D3—241no—
592C2×D3—241no—
593C3×C4—21no—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—21no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—32no—
600C3×C4—41no—
601C3×C4—41no—
602C3×C4—41no—
603C3×C4—41no—
604C3×C4—41no—
605C3×C4—41no—
606C3×C4—61no—
607C3×C4—61no—
608C3×C4—61no—
609C3×C4—81no—
610C3×C4—81no—
611C3×C4—121no—
612C3×C4—121no—
613C3×C4—121no—
614C3×C4C2×D3×Q811yescharacteristic
615C3×C4C2×D3×Q811yescharacteristic
616C3×C4#100711yescharacteristic
617C3×C4#100711yescharacteristic
618Dic3—21no—
619Dic3—21no—
620Dic3—21no—
621Dic3—41no—
622Dic3—41no—
623Dic3—41no—
624Dic3—121no—
625Dic3—121no—
626Dic3—241no—
627Dic3#94912yes—
628C32#338411yescharacteristic, complemented, Sylow
629C23—61no—
630C23—181no—
631Q8—62no—
632Q8—122no—
633Q8—241no—
634Q8—362no—
635Q8—362no—
636D4—32no—
637D4—61no—
638D4—92no—
639D4—181no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—31no—
643C2×C4—31no—
644C2×C4—31no—
645C2×C4—31no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—122no—
650C2×C4—181no—
651C2×C4—241no—
652C2×C4—241no—
653C2×C4—362no—
654C2×C4—362no—
655C2×C4—362no—
656C2×C4D3×#6711yescharacteristic
657C2×C4D3×#6711yescharacteristic
658C2×C4C22×D3211yescharacteristic
659C8—32no—
660C8—61no—
661C8—181no—
662C8—181no—
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—122no—
667C2×C3#572711yescharacteristic
668C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
669C2×C3#577811yescharacteristic
670C2×C3Q8×#6711yescharacteristic
671C2×C3C2×#94911yescharacteristic
672C2×C3#583611yescharacteristic
673D3—42no—
674D3—122no—
675D3—122no—
676D3—242no—
677C22—62no—
678C22—121no—
679C22—121no—
680C22—182no—
681C22—361no—
682C22—361no—
683C22C2×D3×#6711yescharacteristic
684C4—21no—
685C4—21no—
686C4—32no—
687C4—41no—
688C4—41no—
689C4—61no—
690C4—61no—
691C4—61no—
692C4—121no—
693C4—121no—
694C4—121no—
695C4—361no—
696C4#6431611yescharacteristic
697C4D32×Q811yescharacteristic
698C3—21no—
699C3#8196411yescharacteristic, complemented
700C3#8363011yescharacteristic, complemented
701C2—122no—
702C2—362no—
703C2#1059540311yescharacteristic
704C2D3×#94911yescharacteristic
705C2#1059546411yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#125C22
socleC22×C32C22×D4
prime radicalC2×#3714C22
hypercenter#125D32
hypocenterC32#3384
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #125

Complements

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

NH ≅ G/Ntype
1. C3×#5690C2semidirect
2. #10593903C2semidirect
3. #10592765C2semidirect
4. C3×#5064C2semidirect
6. #10590558C2semidirect
7. #10590555C2semidirect
8. #10590468C2semidirect
9. #10590466C2semidirect
11. #10590418C2semidirect
12. #10590412C2semidirect
14. #10590266C2semidirect
15. #10590251C2semidirect
63. #5690D3semidirect
74. #5064D3semidirect
136. #3714Q8semidirect
250. C3×D12C2×Q8semidirect
264. C3×C3⋊C8C2×Q8semidirect
497. D12D3×Q8semidirect
524. C3⋊C8D3×Q8semidirect
628. C32#3384semidirect
699. C3#81964semidirect
700. C3#83630semidirect

Maximal subgroups

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

subgroupindex
C3×#56902
#105939032
#105927652
C3×#50642
#105905892
#105905582
#105905552
#105904682
#105904662
#105904562
#105904182
#105904122
#105903462
#105902662
#105902512
#836303
#819643