Finite Group Databasebeta

← #11895386

Subgroups — #11895386

Order 1152.

775 conjugacy classes of subgroups.

The subgroup lattice has 731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5690C211yesmaximal, characteristic, complemented
2#10593939C211yesmaximal, characteristic, complemented
3#10592765C211yesmaximal, characteristic, complemented
4C3×#5068C211yesmaximal, characteristic, complemented
5#10590548C211yesmaximal, characteristic, complemented
6#10590547C211yesmaximal, characteristic
7#10590537C211yesmaximal, characteristic, complemented
8#10590534C211yesmaximal, characteristic, complemented
9#10590489C211yesmaximal, characteristic, complemented
10#10590475C211yesmaximal, characteristic, complemented
11#10590469C211yesmaximal, characteristic, complemented
12#10590452C211yesmaximal, characteristic, complemented
13#10590348C211yesmaximal, characteristic, complemented
14C4×#3714C211yesmaximal, characteristic, complemented
15C3⋊C8×Dic6C211yesmaximal, characteristic, complemented
16#83643—31nomaximal
17#81633—31nomaximal
18C32×#125C2211yescharacteristic
19C4×C4⋊(C3⋊D3)C2211yescharacteristic
20C3×#897—21no—
21C3×#896—21no—
22C3×#896—21no—
23C3×#893C2211yescharacteristic
24C3×#893C2211yescharacteristic
25C3×D3×C4⋊C4—21no—
26C3×#890C2211yescharacteristic
27C3×#888C2211yescharacteristic
28C3×#875C2211yescharacteristic
29C3×C4×D12C2211yescharacteristic
30C3×C4×Dic6C2211yescharacteristic
31#63911C2211yescharacteristic
32#63907—21no—
33Dic3×D12C2211yescharacteristic
34#63890—21no—
35#63881—21no—
36#63864C2211yescharacteristic
37#63853—21no—
38Dic3×Dic6C2211yescharacteristic
39C2×#3715C2211yescharacteristic
40C2×#3714C2211yescharacteristic
41C2×#3713C2211yescharacteristic
42#63636C2211yescharacteristic
43#63636C2211yescharacteristic
44#63635C2211yescharacteristic
45#63634C2211yescharacteristic
46C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
47C3×#810C2211yescharacteristic
48C3×#810C2211yescharacteristic
49C3×#809C2211yescharacteristic
50C3×#809C2211yescharacteristic
51C3×C4×C3⋊C8C2211yescharacteristic
52#63575C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63565C2211yescharacteristic
56#63564C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#554—31no—
62#5690D311yescharacteristic, complemented
63#5681—31no—
64#5585—31no—
65C3×#488—31no—
66#5091—31no—
67#5088—31no—
68#5068—31no—
69#5068D311yescharacteristic, complemented
70#5066—31no—
71#5066—31no—
72#5066—31no—
73#5066—61no—
74#5057—31no—
75Q8×C3⋊C8—31no—
76C4×#214—31no—
77#5016—31no—
78#5016—31no—
79#5015—31no—
80C4×#213—31no—
81C4×#213—31no—
82#4819—31no—
83#4800—31no—
84#4793—31no—
85#4788—31no—
86#4786—31no—
87#4766—31no—
88#4760—31no—
89#4756—31no—
90C4×D24—31no—
91C8×Dic6—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×C3×D12C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6D411yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#626—21no—
103C2×#626—21no—
104C2×D3×Dic3—21no—
105C32×C4⋊C4—21no—
106C32×C4⋊C4—21no—
107C32×C4⋊C4C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109C32×C42C2311yescharacteristic
110#3752—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4D411yescharacteristic
125C3×Dic3⋊C4D411yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130Dic3⋊Dic3—21no—
131#3722—21no—
132#3722—21no—
133(C2×D3)⋊Dic3—21no—
134Dic32—21no—
135#3715—22no—
136#3714—22no—
137#3713—22no—
138#3361—91noSylow
139C3×C4⋊Q8—31no—
140C3×#125—21no—
141C3×#125—31no—
142C3×#125C2×D311yescharacteristic
143C3×#125C2×D311yescharacteristic
144C3×#124—31no—
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—
152C2×C3×C4⋊C4—61no—
153#947—31no—
154#947—61no—
155Q8×Dic3—31no—
156C2×#215—31no—
157#940—31no—
158D4×Dic3—31no—
159C2×#214—31no—
160C2×#213—31no—
161C2×#213—31no—
162C2×#213—31no—
163C2×D24—31no—
164#897—21no—
165#896—21no—
166#896—21no—
167#894—61no—
168#894—61no—
169#893—61no—
170#893C2×D311yescharacteristic
171#893C2×D311yescharacteristic
172D3×C4⋊C4—21no—
173#890C2×D311yescharacteristic
174#888C2×D311yescharacteristic
175#886—61no—
176#885—61no—
177#883—61no—
178#67⋊C4—61no—
179#875—31no—
180#875C2×D311yescharacteristic
181#874—31no—
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—31no—
185C4×D12—61no—
186C4×D12C2×D311yescharacteristic
187C4×Dic6—31no—
188C4×Dic6C2×D311yescharacteristic
189C3×#103—31no—
190C3×#103—31no—
191C3×#102—31no—
192C3×#102—31no—
193C3×C4×C8—31no—
194#835—31no—
195#832—31no—
196#832—31no—
197#821—31no—
198#821—31no—
199#818—31no—
200Dic3⋊C8—31no—
201Dic3⋊C8—31no—
202C8×Dic3—31no—
203C8×Dic3—31no—
204#810—31no—
205#810C2×D311yescharacteristic
206#810C2×D311yescharacteristic
207#809—31no—
208#809—31no—
209#809—31no—
210#809—31no—
211#809—31no—
212#809—31no—
213#809—61no—
214#809—61no—
215#809C2×D311yescharacteristic
216#809C2×D311yescharacteristic
217#808—31no—
218#808—31no—
219#808—61no—
220#807—31no—
221#807—31no—
222#807—31no—
223#807—61no—
224C4⋊(C3⋊C8)—31no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)—31no—
228C4⋊(C3⋊C8)—61no—
229C4×C3⋊C8—31no—
230C4×C3⋊C8—31no—
231C4×C3⋊C8C2×D311yescharacteristic
232C22×C3⋊D3—21no—
233C22×C3×D3—21no—
234C22×C3×D3—21no—
235C2×C32×C4—21no—
236C2×C32×C4—21no—
237C2×C32×C4C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2411yescharacteristic
240C2×C3⋊Dic3—21no—
241C4⋊(C3⋊D3)—21no—
242C4⋊(C3⋊D3)—21no—
243C4×C3⋊D3—81no—
244C2×C3×Dic3—21no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3C2×D411yescharacteristic
247C2×C3×Dic3C2×D411yescharacteristic
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C3×D12—21no—
251C3×D12—21no—
252C3×D12—21no—
253C3×D12#4112yes—
254C3×C4×D3—42no—
255C3×C4×D3—81no—
256C3×C4×D3—81no—
257C3×Dic6—22no—
258C3×Dic6—21no—
259C3×Dic6—21no—
260C3×Dic6—81no—
261#626—42no—
262#626—81no—
263D3×Dic3—81no—
264C3⋊(C3⋊C8)—21no—
265C3⋊(C3⋊C8)—21no—
266C3×C3⋊C8—21no—
267C3×C3⋊C8—21no—
268#559—91no—
269#554—31no—
270#488—31no—
271#488—91no—
272#486—91no—
273#478—91no—
274#478—91no—
275#477—91no—
276#463—91no—
277#463—91no—
278#459—91no—
279C8×Q8—91no—
280C4×SD16—91no—
281C4×D8—91no—
282C4×D8—91no—
283C2×C3×Q8—31no—
284C2×C3×Q8—31no—
285C2×C3×Q8—61no—
286C2×C3×D4—31no—
287C2×C3×D4—31no—
288C22×C3×C4—61no—
289C22×C3×C4—61no—
290C22×C3×C4—61no—
291C2×#67—61no—
292C2×#67—61no—
293C22×Dic3—61no—
294C2×D12—31no—
295C2×D12—31no—
296C2×D12—61no—
297C2×D12—61no—
298C2×D12—61no—
299C2×D12C22×D311yescharacteristic
300C2×D12C22×D311yescharacteristic
301C2×C4×D3—21no—
302C2×C4×D3—21no—
303C2×C4×D3—21no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—121no—
308C2×Dic6—21no—
309C2×Dic6#6711yescharacteristic
310C2×Dic6C22×D311yescharacteristic
311C2×C3×C8—31no—
312C2×C3×C8—31no—
313C3×C4⋊C4—21no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—21no—
316C3×C4⋊C4—21no—
317C3×C4⋊C4—21no—
318C3×C4⋊C4—21no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—41no—
324C3×C4⋊C4—41no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C4⋊C4C22×D311yescharacteristic
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
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#217—61no—
343#215—62no—
344#214—62no—
345#213—62no—
346#213—62no—
347#213—62no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—121no—
361C4⋊Dic3—21no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3#6711yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368Dic3⋊C4—21no—
369Dic3⋊C4—21no—
370Dic3⋊C4—61no—
371Dic3⋊C4#6711yescharacteristic
372Dic3⋊C4#6711yescharacteristic
373C4×Dic3—61no—
374C4×Dic3—61no—
375C4×Dic3C22×D311yescharacteristic
376C4×Dic3C22×D311yescharacteristic
377C2×C3⋊C8—31no—
378C2×C3⋊C8—31no—
379C2×C3⋊C8—31no—
380C2×C3⋊C8—31no—
381C2×C3⋊C8—61no—
382C2×C3⋊C8—61no—
383C2×C3⋊C8C22×D311yescharacteristic
384C2×C3⋊C8C22×D311yescharacteristic
385D24—62no—
386C22×C32C22×D411yescharacteristic
387C2×C3⋊D3—41no—
388C2×C3⋊D3—41no—
389C2×C3⋊D3—41no—
390C2×C3×D3—22no—
391C2×C3×D3—41no—
392C2×C3×D3—41no—
393C2×C3×D3—41no—
394C2×C3×D3—41no—
395C2×C3×D3—41no—
396C32×C4—21no—
397C32×C4—21no—
398C32×C4—41no—
399C32×C4—41no—
400C32×C4C2×#4111yescharacteristic
401C32×C42−1+411yescharacteristic
402C3⋊Dic3—41no—
403C3×Dic3—21no—
404C3×Dic3—21no—
405C3×Dic3—21no—
406C3×Dic3—41no—
407C3×Dic3—41no—
408C3×Dic3#13512yes—
409C2×SD16—91no—
410C2×D8—91no—
411C2×D8—91no—
412C4⋊Q8—31no—
413#127—91no—
414#125—31no—
415#125D3211yescharacteristic
416#124—31no—
417#124—91no—
418#124—181no—
419#123—181no—
420#123—181no—
421C22⋊Q8—61no—
422C22⋊Q8—61no—
423C22⋊Q8—61no—
424C4×Q8—31no—
425C4×Q8—91no—
426C4×D4—31no—
427C4×D4—31no—
428C4×D4—31no—
429C4×D4—91no—
430C4×D4—91no—
431C4×D4—181no—
432C2×C4⋊C4—61no—
433#107—91no—
434#107—91no—
435#106—91no—
436C4⋊C8—91no—
437C4⋊C8—91no—
438C4⋊C8—91no—
439#103—31no—
440#103—31no—
441#103—91no—
442#102—31no—
443#102—31no—
444#102—91no—
445#102—91no—
446#102—91no—
447#102—91no—
448#102—91no—
449C4×C8—31no—
450C4×C8—91no—
451C4×C8—91no—
452C23×C3—61no—
453C23×C3—61no—
454C22×D3—21no—
455C22×D3—21no—
456C22×D3—61no—
457C22×D3—61no—
458C22×D3—121no—
459C3×Q8—62no—
460C3×Q8—61no—
461C3×Q8—61no—
462C3×Q8—241no—
463C3×D4—32no—
464C3×D4—61no—
465C3×D4—61no—
466C3×D4—61no—
467C2×C3×C4—21no—
468C2×C3×C4—21no—
469C2×C3×C4—21no—
470C2×C3×C4—21no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—31no—
475C2×C3×C4—31no—
476C2×C3×C4—31no—
477C2×C3×C4—31no—
478C2×C3×C4—41no—
479C2×C3×C4—41no—
480C2×C3×C4—61no—
481C2×C3×C4—61no—
482C2×C3×C4—122no—
483C2×C3×C4—241no—
484C2×C3×C4—241no—
485C2×C3×C4D3×D411yescharacteristic
486C2×C3×C4D3×D411yescharacteristic
487C2×C3×C4C2×#6711yescharacteristic
488C2×C3×C4C2×#6711yescharacteristic
489C2×C3×C4C23×D311yescharacteristic
490C2×C3×C4C23×D311yescharacteristic
491#67—122no—
492#67—241no—
493C2×Dic3—21no—
494C2×Dic3—21no—
495C2×Dic3—61no—
496C2×Dic3—61no—
497C2×Dic3—121no—
498C2×Dic3—241no—
499C2×Dic3C2×#6711yescharacteristic
500C2×Dic3C2×#6711yescharacteristic
501C2×Dic3C2×#6711yescharacteristic
502C2×Dic3C2×#6711yescharacteristic
503D12—21no—
504D12—21no—
505D12—21no—
506D12—62no—
507D12—61no—
508D12—61no—
509D12—61no—
510D12—61no—
511D12—121no—
512D12—122no—
513D12—241no—
514D12#23912yes—
515C4×D3—42no—
516C4×D3—81no—
517C4×D3—81no—
518C4×D3—241no—
519C4×D3—241no—
520C4×D3—241no—
521C4×D3—242no—
522Dic6—22no—
523Dic6—21no—
524Dic6—21no—
525Dic6—81no—
526C3×C8—61no—
527C3×C8—61no—
528C3⋊C8—21no—
529C3⋊C8—21no—
530C3⋊C8—61no—
531C3⋊C8—61no—
532C3⋊C8—61no—
533C3⋊C8—61no—
534C3⋊C8—121no—
535C3⋊C8—121no—
536C2×C32#54811yescharacteristic
537C2×C32C2×#13511yescharacteristic
538C2×C32#57611yescharacteristic
539C3⋊D3—81no—
540C3×D3—42no—
541C3×D3—81no—
542C2×Q8—31no—
543C2×Q8—31no—
544C2×Q8—61no—
545C2×D4—31no—
546C2×D4—31no—
547C2×D4—91no—
548C2×D4—181no—
549C2×D4—181no—
550C22×C4—61no—
551C22×C4—61no—
552C22×C4—61no—
553C22×C4—181no—
554C22×C4—181no—
555SD16—182no—
556D8—182no—
557D8—182no—
558C2×C8—31no—
559C2×C8—31no—
560C2×C8—91no—
561C2×C8—91no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—31no—
565C4⋊C4—31no—
566C4⋊C4—31no—
567C4⋊C4—31no—
568C4⋊C4—61no—
569C4⋊C4—61no—
570C4⋊C4—61no—
571C4⋊C4—91no—
572C4⋊C4—181no—
573C4⋊C4C2×D3211yescharacteristic
574C4⋊C4C2×D3211yescharacteristic
575C22⋊C4—61no—
576C22⋊C4—61no—
577C22⋊C4—61no—
578C22⋊C4—61no—
579C22⋊C4—61no—
580C22⋊C4—181no—
581C22⋊C4—181no—
582C22⋊C4—181no—
583C22⋊C4—181no—
584C42—31no—
585C42—31no—
586C42—181no—
587C42C2×D3211yescharacteristic
588C22×C3—21no—
589C22×C3—62no—
590C22×C3—121no—
591C22×C3—121no—
592C22×C3—121no—
593C22×C3—121no—
594C22×C3—121no—
595C22×C3C2×D3×D411yescharacteristic
596C22×C3C22×#6711yescharacteristic
597C2×D3—22no—
598C2×D3—41no—
599C2×D3—41no—
600C2×D3—41no—
601C2×D3—41no—
602C2×D3—41no—
603C2×D3—122no—
604C2×D3—121no—
605C2×D3—121no—
606C2×D3—121no—
607C2×D3—121no—
608C2×D3—121no—
609C2×D3—121no—
610C2×D3—241no—
611C2×D3—241no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—32no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—41no—
625C3×C4—61no—
626C3×C4—61no—
627C3×C4—61no—
628C3×C4—81no—
629C3×C4—81no—
630C3×C4—121no—
631C3×C4—121no—
632C3×C4C2×#23911yescharacteristic
633C3×C4#100711yescharacteristic
634C3×C4D3×#4111yescharacteristic
635C3×C4#101011yescharacteristic
636Dic3—21no—
637Dic3—21no—
638Dic3—21no—
639Dic3—41no—
640Dic3—41no—
641Dic3—121no—
642Dic3—121no—
643Dic3—241no—
644Dic3#95012yes—
645C32#336111yescharacteristic, complemented, Sylow
646C23—61no—
647C23—61no—
648C23—181no—
649Q8—62no—
650Q8—61no—
651Q8—61no—
652Q8—241no—
653D4—32no—
654D4—61no—
655D4—61no—
656D4—61no—
657D4—181no—
658D4—181no—
659D4—362no—
660D4—721no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—122no—
670C2×C4—181no—
671C2×C4—241no—
672C2×C4—241no—
673C2×C4—721no—
674C2×C4—721no—
675C2×C4D3×#6711yescharacteristic
676C2×C4D3×#6711yescharacteristic
677C2×C4C22×D3211yescharacteristic
678C8—61no—
679C8—61no—
680C8—181no—
681C8—181no—
682C2×C3—21no—
683C2×C3—21no—
684C2×C3—21no—
685C2×C3—122no—
686C2×C3—241no—
687C2×C3#567711yescharacteristic
688C2×C3D3×#13511yescharacteristic
689C2×C3#576911yescharacteristic
690C2×C3#581711yescharacteristic
691C2×C3C2×#95011yescharacteristic
692C2×C3#583511yescharacteristic
693D3—42no—
694D3—81no—
695D3—242no—
696D3—241no—
697D3—241no—
698C22—62no—
699C22—121no—
700C22—121no—
701C22—121no—
702C22—121no—
703C22—121no—
704C22—361no—
705C22—361no—
706C22—361no—
707C22C2×D3×#6711yescharacteristic
708C4—21no—
709C4—21no—
710C4—32no—
711C4—41no—
712C4—41no—
713C4—61no—
714C4—61no—
715C4—61no—
716C4—121no—
717C4—121no—
718C4—361no—
719C4#6431511yescharacteristic
720C4D3×#23911yescharacteristic
721C3—21no—
722C3#8163311yescharacteristic, complemented
723C3#8364311yescharacteristic, complemented
724C2—122no—
725C2—241no—
726C2—721no—
727C2#1059540111yescharacteristic
728C2D3×#95011yescharacteristic
729C2#1059545611yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#125C22
socleC22×C32C22×D4
prime radical#10590547C2
hypercenter#125D32
hypocenterC32#3361
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. #10593939C2semidirect
3. #10592765C2semidirect
4. C3×#5068C2semidirect
5. #10590548C2semidirect
7. #10590537C2semidirect
8. #10590534C2semidirect
9. #10590489C2semidirect
10. #10590475C2semidirect
11. #10590469C2semidirect
12. #10590452C2semidirect
13. #10590348C2semidirect
14. C4×#3714C2semidirect
15. C3⋊C8×Dic6C2semidirect
62. #5690D3semidirect
69. #5068D3semidirect
645. C32#3361semidirect
722. C3#81633semidirect
723. C3#83643semidirect

Maximal subgroups

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

subgroupindex
C3×#56902
#105939392
#105927652
C3×#50682
#105905482
#105905472
#105905372
#105905342
#105904892
#105904752
#105904692
#105904522
#105903482
C4×#37142
C3⋊C8×Dic62
#836433
#816333