Finite Group Databasebeta

← #11895384

Subgroups — #11895384

Order 1152.

772 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5690C211yesmaximal, characteristic, complemented
2#10593978C211yesmaximal, characteristic, complemented
3#10592767C211yesmaximal, characteristic, complemented
4C3×#5066C211yesmaximal, characteristic, complemented
5#10590548C211yesmaximal, characteristic, complemented
6#10590547C211yesmaximal, characteristic
7#10590533C211yesmaximal, characteristic, complemented
8#10590530C211yesmaximal, characteristic, complemented
9#10590488C211yesmaximal, characteristic, complemented
10#10590479C211yesmaximal, characteristic, complemented
11#10590470C211yesmaximal, characteristic, complemented
12#10590456C211yesmaximal, characteristic, complemented
13#10590366C211yesmaximal, characteristic, complemented
14C4×#3713C211yesmaximal, characteristic, complemented
15#10590250C211yesmaximal, characteristic, complemented
16#83643—31nomaximal
17#81150—31nomaximal
18C32×#125C2211yescharacteristic
19#64084C2211yescharacteristic
20C3×#897—21no—
21C3×#896—21no—
22C3×#896—21no—
23C3×#893C2211yescharacteristic
24C3×#893C2211yescharacteristic
25C3×D3×C4⋊C4—21no—
26C3×#890C2211yescharacteristic
27C3×#888C2211yescharacteristic
28C3×C4×D12C2211yescharacteristic
29C3×C4×D12C2211yescharacteristic
30C3×C4×Dic6C2211yescharacteristic
31#63911C2211yescharacteristic
32#63907—21no—
33#63904—21no—
34#63894C2211yescharacteristic
35#63860C2211yescharacteristic
36#63854—21no—
37#63850—21no—
38#63844C2211yescharacteristic
39C2×#3716C2211yescharacteristic
40C2×#3714C2211yescharacteristic
41C2×#3713C2211yescharacteristic
42#63637C2211yescharacteristic
43#63637C2211yescharacteristic
44#63636C2211yescharacteristic
45#63636C2211yescharacteristic
46C4×C3⋊(C3⋊C8)C2211yescharacteristic
47C3×#809C2211yescharacteristic
48C3×#809C2211yescharacteristic
49C3×#808C2211yescharacteristic
50C3×#807C2211yescharacteristic
51C3×C4⋊(C3⋊C8)C2211yescharacteristic
52#63576C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63567C2211yescharacteristic
56#63564C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#554—31no—
62#5690D311yescharacteristic, complemented
63#5585—31no—
64#5559—31no—
65C3×#478—31no—
66#5091—31no—
67#5088—31no—
68#5068—31no—
69#5068—31no—
70#5068—31no—
71#5068—61no—
72#5066—31no—
73#5066D311yescharacteristic, complemented
74Q8×C3⋊C8—31no—
75C4×#214—31no—
76#5016—31no—
77#5016—31no—
78#5015—31no—
79C4×#213—31no—
80C4×#213—31no—
81C4×#213—31no—
82#4875—31no—
83#4872—31no—
84#4871—31no—
85#4852—31no—
86#4844—31no—
87#4830—31no—
88#4787—31no—
89#4786—31no—
90#4768—31no—
91#4760—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×#634C2311yescharacteristic
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×Dic6D411yescharacteristic
102C2×#626—21no—
103C2×#626—21no—
104C2×#624—21no—
105C32×C4⋊C4—21no—
106C32×C4⋊C4—21no—
107C32×C4⋊C4C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109C32×C42C2311yescharacteristic
110#3752—21no—
111#3752—21no—
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×C4⋊Dic3—21no—
119C3×C4⋊Dic3D411yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
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
130#3724—21no—
131#3722—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134Dic32—21no—
135#3716—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×C22⋊Q8—61no—
145C3×C22⋊Q8—61no—
146C3×C22⋊Q8—61no—
147C3×C4×Q8—31no—
148C3×C4×D4—31no—
149C3×C4×D4—31no—
150C3×C4×D4—31no—
151C3×C4×D4—31no—
152C2×C3×C4⋊C4—61no—
153#947—61no—
154#940—31no—
155#936—31no—
156C2×#214—31no—
157C2×#213—31no—
158C2×#213—31no—
159C2×#213—31no—
160#929—61no—
161C4×#67—61no—
162C2×D24—31no—
163C2×#204—31no—
164#897—21no—
165#896—21no—
166#896—21no—
167#894—61no—
168#894—61no—
169#893—31no—
170#893—61no—
171#893C2×D311yescharacteristic
172#893C2×D311yescharacteristic
173D3×C4⋊C4—21no—
174#890C2×D311yescharacteristic
175#888C2×D311yescharacteristic
176#887—31no—
177#885—61no—
178#883—61no—
179#875—31no—
180#875—31no—
181#875—31no—
182#875—61no—
183#874—31no—
184C4×D12—31no—
185C4×D12C2×D311yescharacteristic
186C4×D12C2×D311yescharacteristic
187C4×Dic6—31no—
188C4×Dic6C2×D311yescharacteristic
189C3×#107—31no—
190C3×#106—31no—
191C3×C4⋊C8—31no—
192C3×#102—31no—
193C3×#102—31no—
194#832—31no—
195#832—31no—
196#821—31no—
197#816—31no—
198Dic3⋊C8—31no—
199Dic3⋊C8—31no—
200C8×Dic3—31no—
201C8×Dic3—31no—
202#810—31no—
203#810—31no—
204#810—31no—
205#810—31no—
206#810—31no—
207#810—61no—
208#810—61no—
209#809—31no—
210#809—31no—
211#809—31no—
212#809—31no—
213#809—31no—
214#809—31no—
215#809—31no—
216#809—61no—
217#809—61no—
218#809C2×D311yescharacteristic
219#809C2×D311yescharacteristic
220#808C2×D311yescharacteristic
221#807—31no—
222#807—31no—
223#807C2×D311yescharacteristic
224C4⋊(C3⋊C8)—31no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)C2×D311yescharacteristic
227C4×C3⋊C8—31no—
228C4×C3⋊C8—31no—
229C4×C3⋊C8—31no—
230C4×C3⋊C8—31no—
231C4×C3⋊C8—61no—
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—
243#634—21no—
244#634—21no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3C2×D411yescharacteristic
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C3×D12—21no—
252C3×D12—21no—
253C3×D12—21no—
254C3×D12#4112yes—
255C3×C4×D3—42no—
256C3×C4×D3—81no—
257C3×C4×D3—81no—
258C3×C4×D3—81no—
259C3×Dic6—22no—
260C3×Dic6—81no—
261#626—42no—
262#626—81no—
263#624—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—91no—
271#488—91no—
272#486—91no—
273#478—31no—
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—61no—
285C2×C3×D4—31no—
286C2×C3×D4—31no—
287C22×C3×C4—61no—
288C22×C3×C4—61no—
289C22×C3×C4—61no—
290C22×C3×C4—61no—
291C2×#67—61no—
292C2×#67—61no—
293C2×D12—31no—
294C2×D12—31no—
295C2×D12—61no—
296C2×D12—61no—
297C2×D12—61no—
298C2×D12C22×D311yescharacteristic
299C2×D12C22×D311yescharacteristic
300C2×C4×D3—21no—
301C2×C4×D3—21no—
302C2×C4×D3—21no—
303C2×C4×D3—21no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×Dic6—21no—
307C2×Dic6—31no—
308C2×Dic6—31no—
309C2×Dic6—61no—
310C2×Dic6#6711yescharacteristic
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—31no—
324C3×C4⋊C4—41no—
325C3×C4⋊C4—41no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C4⋊C4C22×D311yescharacteristic
332C3×C4⋊C4C22×D311yescharacteristic
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#217—61no—
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—61no—
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—
361(C2×D3)⋊C4—121no—
362C4⋊Dic3—21no—
363C4⋊Dic3#6711yescharacteristic
364C4⋊Dic3C22×D311yescharacteristic
365C4⋊Dic3C22×D311yescharacteristic
366Dic3⋊C4—21no—
367Dic3⋊C4—21no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4#6711yescharacteristic
371Dic3⋊C4#6711yescharacteristic
372C4×Dic3—61no—
373C4×Dic3—61no—
374C4×Dic3C22×D311yescharacteristic
375C4×Dic3C22×D311yescharacteristic
376C2×C3⋊C8—31no—
377C2×C3⋊C8—31no—
378C2×C3⋊C8—31no—
379C2×C3⋊C8—31no—
380C2×C3⋊C8—61no—
381C2×C3⋊C8—61no—
382C2×C3⋊C8C22×D311yescharacteristic
383C2×C3⋊C8C22×D311yescharacteristic
384D24—62no—
385#204—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—91no—
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—31no—
430C4×D4—91no—
431C4×D4—181no—
432C2×C4⋊C4—61no—
433#107—31no—
434#107—91no—
435#106—31no—
436C4⋊C8—31no—
437C4⋊C8—91no—
438C4⋊C8—91no—
439#103—91no—
440#103—91no—
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—91no—
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—241no—
461C3×D4—32no—
462C3×D4—61no—
463C3×D4—61no—
464C3×D4—61no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—21no—
469C2×C3×C4—21no—
470C2×C3×C4—21no—
471C2×C3×C4—21no—
472C2×C3×C4—31no—
473C2×C3×C4—31no—
474C2×C3×C4—31no—
475C2×C3×C4—31no—
476C2×C3×C4—41no—
477C2×C3×C4—41no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4—122no—
481C2×C3×C4—241no—
482C2×C3×C4—241no—
483C2×C3×C4—241no—
484C2×C3×C4D3×D411yescharacteristic
485C2×C3×C4D3×D411yescharacteristic
486C2×C3×C4C2×#6711yescharacteristic
487C2×C3×C4C2×#6711yescharacteristic
488C2×C3×C4C23×D311yescharacteristic
489C2×C3×C4C23×D311yescharacteristic
490#67—122no—
491#67—241no—
492C2×Dic3—21no—
493C2×Dic3—21no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—121no—
497C2×Dic3C2×#6711yescharacteristic
498C2×Dic3C2×#6711yescharacteristic
499C2×Dic3C2×#6711yescharacteristic
500C2×Dic3C2×#6711yescharacteristic
501D12—21no—
502D12—21no—
503D12—21no—
504D12—61no—
505D12—61no—
506D12—61no—
507D12—61no—
508D12—121no—
509D12—121no—
510D12—122no—
511D12—241no—
512D12#23912yes—
513C4×D3—42no—
514C4×D3—81no—
515C4×D3—81no—
516C4×D3—81no—
517C4×D3—241no—
518C4×D3—241no—
519Dic6—22no—
520Dic6—61no—
521Dic6—61no—
522Dic6—61no—
523Dic6—61no—
524Dic6—81no—
525Dic6—121no—
526Dic6—121no—
527C3×C8—61no—
528C3×C8—61no—
529C3⋊C8—21no—
530C3⋊C8—21no—
531C3⋊C8—61no—
532C3⋊C8—61no—
533C3⋊C8—61no—
534C3⋊C8—61no—
535C3⋊C8—121no—
536C3⋊C8—121no—
537C2×C32#54811yescharacteristic
538C2×C32C2×#13511yescharacteristic
539C2×C32#57611yescharacteristic
540C3⋊D3—81no—
541C3×D3—42no—
542C3×D3—81no—
543C2×Q8—31no—
544C2×Q8—61no—
545C2×Q8—91no—
546C2×D4—31no—
547C2×D4—31no—
548C2×D4—91no—
549C2×D4—181no—
550C2×D4—181no—
551C22×C4—61no—
552C22×C4—61no—
553C22×C4—61no—
554C22×C4—61no—
555C22×C4—181no—
556SD16—182no—
557D8—182no—
558D8—182no—
559C2×C8—31no—
560C2×C8—31no—
561C2×C8—91no—
562C2×C8—91no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—31no—
566C4⋊C4—31no—
567C4⋊C4—31no—
568C4⋊C4—31no—
569C4⋊C4—31no—
570C4⋊C4—61no—
571C4⋊C4—61no—
572C4⋊C4—61no—
573C4⋊C4—181no—
574C4⋊C4C2×D3211yescharacteristic
575C4⋊C4C2×D3211yescharacteristic
576C22⋊C4—61no—
577C22⋊C4—61no—
578C22⋊C4—61no—
579C22⋊C4—61no—
580C22⋊C4—181no—
581C22⋊C4—181no—
582C22⋊C4—181no—
583C22⋊C4—181no—
584C22⋊C4—181no—
585C42—31no—
586C42—31no—
587C42—181no—
588C42C2×D3211yescharacteristic
589C22×C3—21no—
590C22×C3—62no—
591C22×C3—121no—
592C22×C3—121no—
593C22×C3—121no—
594C22×C3—121no—
595C22×C3—121no—
596C22×C3C2×D3×D411yescharacteristic
597C22×C3C22×#6711yescharacteristic
598C2×D3—22no—
599C2×D3—41no—
600C2×D3—41no—
601C2×D3—41no—
602C2×D3—41no—
603C2×D3—41no—
604C2×D3—121no—
605C2×D3—121no—
606C2×D3—121no—
607C2×D3—121no—
608C2×D3—121no—
609C2×D3—121no—
610C2×D3—241no—
611C2×D3—241no—
612C2×D3—241no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—32no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—41no—
625C3×C4—41no—
626C3×C4—61no—
627C3×C4—61no—
628C3×C4—61no—
629C3×C4—81no—
630C3×C4—81no—
631C3×C4—121no—
632C3×C4—121no—
633C3×C4C2×#23911yescharacteristic
634C3×C4#100711yescharacteristic
635C3×C4#100711yescharacteristic
636C3×C4D3×#4111yescharacteristic
637Dic3—21no—
638Dic3—21no—
639Dic3—21no—
640Dic3—41no—
641Dic3—41no—
642Dic3—121no—
643Dic3—121no—
644Dic3—241no—
645Dic3#95012yes—
646C32#336111yescharacteristic, complemented, Sylow
647C23—61no—
648C23—61no—
649C23—181no—
650Q8—62no—
651Q8—181no—
652Q8—181no—
653Q8—241no—
654D4—32no—
655D4—61no—
656D4—61no—
657D4—61no—
658D4—181no—
659D4—181no—
660D4—362no—
661D4—721no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—122no—
671C2×C4—181no—
672C2×C4—241no—
673C2×C4—241no—
674C2×C4—241no—
675C2×C4—721no—
676C2×C4D3×#6711yescharacteristic
677C2×C4D3×#6711yescharacteristic
678C2×C4C22×D3211yescharacteristic
679C8—61no—
680C8—61no—
681C8—181no—
682C8—181no—
683C2×C3—21no—
684C2×C3—21no—
685C2×C3—21no—
686C2×C3—122no—
687C2×C3—241no—
688C2×C3#563311yescharacteristic
689C2×C3D3×#13511yescharacteristic
690C2×C3#577411yescharacteristic
691C2×C3#581711yescharacteristic
692C2×C3C2×#95011yescharacteristic
693C2×C3#583511yescharacteristic
694D3—42no—
695D3—81no—
696D3—241no—
697D3—241no—
698D3—481no—
699C22—62no—
700C22—121no—
701C22—121no—
702C22—121no—
703C22—121no—
704C22—121no—
705C22—361no—
706C22—361no—
707C22—361no—
708C22C2×D3×#6711yescharacteristic
709C4—21no—
710C4—21no—
711C4—32no—
712C4—41no—
713C4—41no—
714C4—61no—
715C4—61no—
716C4—61no—
717C4—121no—
718C4—121no—
719C4—361no—
720C4#6431611yescharacteristic
721C4D3×#23911yescharacteristic
722C3—21no—
723C3#8115011yescharacteristic, complemented
724C3#8364311yescharacteristic, complemented
725C2—122no—
726C2—241no—
727C2—721no—
728C2#1059540211yescharacteristic
729C2D3×#95011yescharacteristic
730C2#1059545411yescharacteristic
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. #10593978C2semidirect
3. #10592767C2semidirect
4. C3×#5066C2semidirect
5. #10590548C2semidirect
7. #10590533C2semidirect
8. #10590530C2semidirect
9. #10590488C2semidirect
10. #10590479C2semidirect
11. #10590470C2semidirect
12. #10590456C2semidirect
13. #10590366C2semidirect
14. C4×#3713C2semidirect
15. #10590250C2semidirect
62. #5690D3semidirect
73. #5066D3semidirect
646. C32#3361semidirect
723. C3#81150semidirect
724. C3#83643semidirect

Maximal subgroups

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

subgroupindex
C3×#56902
#105939782
#105927672
C3×#50662
#105905482
#105905472
#105905332
#105905302
#105904882
#105904792
#105904702
#105904562
#105903662
C4×#37132
#105902502
#836433
#811503