Finite Group Databasebeta

← #11895899

Subgroups — #11895899

Order 1152.

792 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5727C211yesmaximal, characteristic, complemented
2#10593932C211yesmaximal, characteristic, complemented
3#10592790C211yesmaximal, characteristic, complemented
4C3×#5089C211yesmaximal, characteristic, complemented
5#10590560C211yesmaximal, characteristic, complemented
6#10590559C211yesmaximal, characteristic, complemented
7#10590531C211yesmaximal, characteristic, complemented
8#10590530C211yesmaximal, characteristic
9#10590489C211yesmaximal, characteristic, complemented
10#10590478C211yesmaximal, characteristic, complemented
11#10590463C211yesmaximal, characteristic, complemented
12#10590452C211yesmaximal, characteristic
13#10590360C211yesmaximal, characteristic, complemented
14#10590348C211yesmaximal, characteristic
15#10590251C211yesmaximal, characteristic, complemented
16#83563—31nomaximal
17#81670—31nomaximal
18C2×C3×D3×Q8—21no—
19C32×C4⋊Q8C2211yescharacteristic
20C4×#634C2211yescharacteristic
21C3×#946—21no—
22C3×#896—21no—
23C3×#896—21no—
24C3×#893C2211yescharacteristic
25C3×#893C2211yescharacteristic
26C3×#888C2211yescharacteristic
27C3×#888C2211yescharacteristic
28C3×#875C2211yescharacteristic
29C3×C4×D12C2211yescharacteristic
30C3×C4×Dic6C2211yescharacteristic
31Dic3×D12C2211yescharacteristic
32#63887—21no—
33#63878—21no—
34#63866C2211yescharacteristic
35#63862—21no—
36#63860C2211yescharacteristic
37#63858—21no—
38Dic3×Dic6C2211yescharacteristic
39C2×#3716C2211yescharacteristic
40C2×#3715C2211yescharacteristic
41C2×#3713C2211yescharacteristic
42#63637C2211yescharacteristic
43#63637C2211yescharacteristic
44#63634C2211yescharacteristic
45#63634C2211yescharacteristic
46C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
47C3×#810C2211yescharacteristic
48C3×#810C2211yescharacteristic
49C3×#809C2211yescharacteristic
50C3×#809C2211yescharacteristic
51C3×#803C2211yescharacteristic
52#63575C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63567C2211yescharacteristic
56#63565C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×D4×Q8—31no—
62#5727D311yescharacteristic, complemented
63#5671—31no—
64#5584—31no—
65C3×#489—31no—
66#5093—31no—
67#5091—31no—
68#5091—31no—
69#5091—31no—
70#5091—61no—
71#5089—31no—
72#5089D311yescharacteristic, complemented
73#5087—31no—
74#5057—31no—
75#5024—31no—
76#5019—31no—
77#5018—31no—
78#5018—31no—
79#5016—31no—
80#5016—31no—
81C4×#213—31no—
82#4818—31no—
83#4817—31no—
84#4793—31no—
85#4792—31no—
86#4787—31no—
87#4765—31no—
88#4759—31no—
89#4756—31no—
90#4710—31no—
91#4701—31no—
92C2×C32×Q8—21no—
93C2×#634C2311yescharacteristic
94C3×D3×Q8—44no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
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×C3×Dic6C2311yescharacteristic
104C2×D3×Dic3—21no—
105C32×C4⋊C4—21no—
106C32×C4⋊C4C2311yescharacteristic
107C32×C4⋊C4C2311yescharacteristic
108C32×C42C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110#3750—21no—
111C4×C3⋊Dic3—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×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3D411yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4D411yescharacteristic
124C3×Dic3⋊C4D411yescharacteristic
125C3×C4×Dic3C2311yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135Dic32—21no—
136#3716—22no—
137#3715—22no—
138#3713—22no—
139#3367—91noSylow
140C22×C3×Q8—61no—
141C2×D3×Q8—21no—
142C3×C4⋊Q8—21no—
143C3×C4⋊Q8—31no—
144C3×C4⋊Q8—31no—
145C3×C4⋊Q8C2×D311yescharacteristic
146C3×C4⋊Q8C2×D311yescharacteristic
147C3×#124—31no—
148C3×C22⋊Q8—61no—
149C3×C22⋊Q8—61no—
150C3×C22⋊Q8—61no—
151C3×C4×Q8—31no—
152C3×C4×D4—31no—
153C3×C4×D4—31no—
154C3×C4×D4—31no—
155#946—21no—
156#946—61no—
157Q8×Dic3—31no—
158#944—31no—
159C2×#215—31no—
160#936—31no—
161D4×Dic3—31no—
162C2×#214—31no—
163C2×#214—31no—
164C2×#213—31no—
165C2×#213—31no—
166C2×#204—31no—
167#898—61no—
168#898—61no—
169#896—21no—
170#896—21no—
171#893C2×D311yescharacteristic
172#893C2×D311yescharacteristic
173#892—61no—
174#888C2×D311yescharacteristic
175#888C2×D311yescharacteristic
176#879—61no—
177#879—61no—
178#878—61no—
179#877—61no—
180#875—31no—
181#875C2×D311yescharacteristic
182C4×D12—31no—
183C4×D12C2×D311yescharacteristic
184#869—31no—
185C4×Dic6—31no—
186C4×Dic6—31no—
187C4×Dic6—31no—
188C4×Dic6—61no—
189C4×Dic6C2×D311yescharacteristic
190C3×#103—31no—
191C3×#103—31no—
192C3×#102—31no—
193C3×#102—31no—
194C3×#97—31no—
195#835—31no—
196#832—31no—
197#832—31no—
198#821—31no—
199#818—31no—
200#816—31no—
201#815—31no—
202Dic3⋊C8—31no—
203Dic3⋊C8—31no—
204C8×Dic3—31no—
205#810—31no—
206#810—31no—
207#810—31no—
208#810—31no—
209#810—31no—
210#810—31no—
211#810—61no—
212#810—61no—
213#810C2×D311yescharacteristic
214#810C2×D311yescharacteristic
215#809—31no—
216#809C2×D311yescharacteristic
217#809C2×D311yescharacteristic
218#807—31no—
219#807—31no—
220#807—31no—
221#807—31no—
222#807—31no—
223#807—61no—
224#807—61no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)—31no—
228C4⋊(C3⋊C8)—31no—
229C4⋊(C3⋊C8)—61no—
230#803—31no—
231#803C2×D311yescharacteristic
232C4×C3⋊C8—31no—
233C22×C3×D3—21no—
234C22×C3×D3—21no—
235C32×Q8—42no—
236C2×C32×C4—21no—
237C2×C32×C4—21no—
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—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—42no—
257C3×C4×D3—42no—
258C3×Dic6—22no—
259C3×Dic6—21no—
260C3×Dic6—21no—
261C3×Dic6—42no—
262C3×Dic6—42no—
263D3×Dic3—42no—
264C3⋊(C3⋊C8)—21no—
265C3⋊(C3⋊C8)—21no—
266C3×C3⋊C8—21no—
267C3×C3⋊C8—21no—
268#556—91no—
269D4×Q8—31no—
270#489—31no—
271#489—91no—
272#487—91no—
273#477—91no—
274#477—91no—
275#474—91no—
276#463—91no—
277#463—91no—
278#461—91no—
279#446—91no—
280#440—91no—
281#440—91no—
282C4×D8—91no—
283C2×C3×Q8—21no—
284C2×C3×Q8—21no—
285C2×C3×Q8—31no—
286C2×C3×Q8—31no—
287C2×C3×Q8—41no—
288C2×C3×Q8—61no—
289C2×C3×Q8—61no—
290C2×C3×Q8—124no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C22×C3×C4—61no—
294C22×C3×C4—61no—
295C22×C3×C4—61no—
296C22×Dic3—61no—
297D3×Q8—44no—
298C2×D12C22×D311yescharacteristic
299C2×D12C22×D311yescharacteristic
300C2×C4×D3—21no—
301C2×C4×D3—21no—
302C2×C4×D3—21no—
303C2×C4×D3—61no—
304C2×Dic6—21no—
305C2×Dic6—21no—
306C2×Dic6—31no—
307C2×Dic6—31no—
308C2×Dic6—61no—
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—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—41no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C4⋊C4C22×D311yescharacteristic
326C3×C4⋊C4C22×D311yescharacteristic
327C3×C4⋊C4C22×D311yescharacteristic
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C42—21no—
334C3×C42—31no—
335C3×C42—31no—
336C3×C42C22×D311yescharacteristic
337C3×C42C22×D311yescharacteristic
338#217—61no—
339#217—61no—
340#217—61no—
341#215—62no—
342#214—62no—
343#214—62no—
344#213—62no—
345#213—62no—
346(C2×D3)⋊C4—21no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3#6711yescharacteristic
361C4⋊Dic3C22×D311yescharacteristic
362Dic3⋊C4—21no—
363Dic3⋊C4—21no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—121no—
370Dic3⋊C4#6711yescharacteristic
371Dic3⋊C4#6711yescharacteristic
372C4×Dic3—61no—
373C4×Dic3—61no—
374C4×Dic3—61no—
375C4×Dic3—61no—
376C4×Dic3—121no—
377C4×Dic3C22×D311yescharacteristic
378C4×Dic3C22×D311yescharacteristic
379C2×C3⋊C8—31no—
380C2×C3⋊C8—31no—
381C2×C3⋊C8—31no—
382C2×C3⋊C8—31no—
383C2×C3⋊C8—61no—
384C2×C3⋊C8—61no—
385C2×C3⋊C8C22×D311yescharacteristic
386C2×C3⋊C8C22×D311yescharacteristic
387#204—62no—
388C22×C32C22×D411yescharacteristic
389C2×C3×D3—22no—
390C2×C3×D3—41no—
391C2×C3×D3—41no—
392C2×C3×D3—41no—
393C2×C3×D3—41no—
394C2×C3×D3—41no—
395C32×C4—21no—
396C32×C4—21no—
397C32×C4—41no—
398C32×C4—41no—
399C32×C4C2×#4111yescharacteristic
400C32×C42−1+411yescharacteristic
401C3⋊Dic3—41no—
402C3⋊Dic3—41no—
403C3×Dic3—21no—
404C3×Dic3—21no—
405C3×Dic3—21no—
406C3×Dic3—41no—
407C3×Dic3—41no—
408C3×Dic3AGL(1,ℤ/8)12yes—
409C22×Q8—61no—
410C2×SD16—91no—
411C2×SD16—91no—
412C2×D8—91no—
413C4⋊Q8—31no—
414C4⋊Q8—31no—
415C4⋊Q8—91no—
416C4⋊Q8D3211yescharacteristic
417#126—181no—
418#126—181no—
419#124—31no—
420#124—91no—
421C22⋊Q8—61no—
422C22⋊Q8—61no—
423C22⋊Q8—61no—
424C22⋊Q8—181no—
425C4×Q8—31no—
426C4×Q8—91no—
427C4×Q8—91no—
428C4×D4—31no—
429C4×D4—31no—
430C4×D4—31no—
431C4×D4—91no—
432#117—181no—
433#107—91no—
434#107—91no—
435#107—91no—
436C4⋊C8—91no—
437C4⋊C8—91no—
438C4⋊C8—91no—
439#103—31no—
440#103—31no—
441#103—91no—
442#103—91no—
443#103—91no—
444#103—91no—
445#102—31no—
446#102—31no—
447#102—91no—
448#102—91no—
449#97—31no—
450#97—91no—
451C4×C8—91no—
452C23×C3—61no—
453C23×C3—61no—
454C22×D3—21no—
455C22×D3—21no—
456C3×Q8—42no—
457C3×Q8—42no—
458C3×Q8—62no—
459C3×Q8—61no—
460C3×Q8—61no—
461C3×Q8—82no—
462C3×Q8—122no—
463C3×Q8—122no—
464C3×D4—32no—
465C3×D4—61no—
466C3×D4—61no—
467C3×D4—61no—
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—21no—
475C2×C3×C4—31no—
476C2×C3×C4—31no—
477C2×C3×C4—31no—
478C2×C3×C4—31no—
479C2×C3×C4—41no—
480C2×C3×C4—41no—
481C2×C3×C4—61no—
482C2×C3×C4—61no—
483C2×C3×C4—122no—
484C2×C3×C4—122no—
485C2×C3×C4—122no—
486C2×C3×C4D3×D411yescharacteristic
487C2×C3×C4D3×D411yescharacteristic
488C2×C3×C4C2×#6711yescharacteristic
489C2×C3×C4C2×#6711yescharacteristic
490C2×C3×C4C23×D311yescharacteristic
491C2×C3×C4C23×D311yescharacteristic
492C2×Dic3—21no—
493C2×Dic3—21no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—61no—
497C2×Dic3—61no—
498C2×Dic3—121no—
499C2×Dic3—121no—
500C2×Dic3—122no—
501C2×Dic3C2×#6711yescharacteristic
502C2×Dic3C2×#6711yescharacteristic
503C2×Dic3C2×#6711yescharacteristic
504C2×Dic3C2×#6711yescharacteristic
505D12—21no—
506D12—21no—
507D12—21no—
508D12#23912yes—
509C4×D3—42no—
510C4×D3—42no—
511C4×D3—42no—
512C4×D3—122no—
513Dic6—22no—
514Dic6—21no—
515Dic6—21no—
516Dic6—42no—
517Dic6—42no—
518Dic6—62no—
519Dic6—61no—
520Dic6—61no—
521Dic6—61no—
522Dic6—61no—
523Dic6—121no—
524C3×C8—61no—
525C3×C8—61no—
526C3⋊C8—21no—
527C3⋊C8—21no—
528C3⋊C8—61no—
529C3⋊C8—61no—
530C3⋊C8—61no—
531C3⋊C8—61no—
532C3⋊C8—121no—
533C3⋊C8—121no—
534C2×C32#54811yescharacteristic
535C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
536C2×C32#57811yescharacteristic
537C3×D3—42no—
538C3×D3—81no—
539C2×Q8—21no—
540C2×Q8—31no—
541C2×Q8—31no—
542C2×Q8—61no—
543C2×Q8—61no—
544C2×Q8—91no—
545C2×Q8—124no—
546C2×D4—31no—
547C2×D4—31no—
548C22×C4—61no—
549C22×C4—61no—
550C22×C4—61no—
551C22×C4—181no—
552SD16—182no—
553SD16—182no—
554D8—182no—
555C2×C8—31no—
556C2×C8—31no—
557C2×C8—91no—
558C2×C8—91no—
559C4⋊C4—21no—
560C4⋊C4—31no—
561C4⋊C4—31no—
562C4⋊C4—31no—
563C4⋊C4—31no—
564C4⋊C4—61no—
565C4⋊C4—61no—
566C4⋊C4—91no—
567C4⋊C4—181no—
568C4⋊C4—181no—
569C4⋊C4—181no—
570C4⋊C4—181no—
571C4⋊C4C2×D3211yescharacteristic
572C4⋊C4C2×D3211yescharacteristic
573C22⋊C4—61no—
574C22⋊C4—61no—
575C22⋊C4—61no—
576C22⋊C4—61no—
577C22⋊C4—61no—
578C22⋊C4—181no—
579C22⋊C4—181no—
580C22⋊C4—181no—
581C42—31no—
582C42—31no—
583C42—181no—
584C42—181no—
585C42C2×D3211yescharacteristic
586C22×C3—21no—
587C22×C3—62no—
588C22×C3—121no—
589C22×C3—121no—
590C22×C3—121no—
591C22×C3—121no—
592C22×C3—121no—
593C22×C3C2×D3×D411yescharacteristic
594C22×C3C22×#6711yescharacteristic
595C2×D3—22no—
596C2×D3—41no—
597C2×D3—41no—
598C2×D3—41no—
599C2×D3—41no—
600C2×D3—41no—
601C3×C4—22no—
602C3×C4—21no—
603C3×C4—21no—
604C3×C4—21no—
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—21no—
608C3×C4—32no—
609C3×C4—41no—
610C3×C4—41no—
611C3×C4—41no—
612C3×C4—41no—
613C3×C4—41no—
614C3×C4—61no—
615C3×C4—61no—
616C3×C4—61no—
617C3×C4—81no—
618C3×C4—81no—
619C3×C4—121no—
620C3×C4—121no—
621C3×C4C2×#23911yescharacteristic
622C3×C4#100711yescharacteristic
623C3×C4D3×#4111yescharacteristic
624C3×C4#101011yescharacteristic
625Dic3—21no—
626Dic3—21no—
627Dic3—21no—
628Dic3—41no—
629Dic3—41no—
630Dic3—122no—
631Dic3—121no—
632Dic3—121no—
633Dic3—121no—
634Dic3—121no—
635Dic3—241no—
636Dic3#93212yes—
637C32#336711yescharacteristic, complemented, Sylow
638C23—61no—
639C23—61no—
640Q8—42no—
641Q8—62no—
642Q8—61no—
643Q8—61no—
644Q8—122no—
645Q8—122no—
646Q8—181no—
647Q8—181no—
648D4—32no—
649D4—61no—
650D4—61no—
651D4—61no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—31no—
655C2×C4—31no—
656C2×C4—31no—
657C2×C4—31no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—122no—
661C2×C4—122no—
662C2×C4—122no—
663C2×C4—181no—
664C2×C4—181no—
665C2×C4—362no—
666C2×C4D3×#6711yescharacteristic
667C2×C4D3×#6711yescharacteristic
668C2×C4C22×D3211yescharacteristic
669C8—61no—
670C8—61no—
671C8—181no—
672C8—181no—
673C2×C3—21no—
674C2×C3—21no—
675C2×C3—21no—
676C2×C3—122no—
677C2×C3—241no—
678C2×C3#567711yescharacteristic
679C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
680C2×C3#577911yescharacteristic
681C2×C3C2×#93211yescharacteristic
682C2×C3#581711yescharacteristic
683C2×C3#583811yescharacteristic
684D3—42no—
685D3—81no—
686C22—62no—
687C22—121no—
688C22—121no—
689C22—121no—
690C22—121no—
691C22—121no—
692C22C2×D3×#6711yescharacteristic
693C4—21no—
694C4—21no—
695C4—32no—
696C4—41no—
697C4—41no—
698C4—61no—
699C4—61no—
700C4—61no—
701C4—121no—
702C4—121no—
703C4—361no—
704C4—361no—
705C4#6431511yescharacteristic
706C4D3×#23911yescharacteristic
707C3—21no—
708C3#8167011yescharacteristic, complemented
709C3#8356311yescharacteristic, complemented
710C2—122no—
711C2—241no—
712C2D3×#93211yescharacteristic
713C2#1059532811yescharacteristic
714C2#1059540111yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊Q8C22
socleC22×C32C22×D4
prime radicalC2×#3713C22
hypercenterC4⋊Q8D32
hypocenterC32#3367
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. #10593932C2semidirect
3. #10592790C2semidirect
4. C3×#5089C2semidirect
5. #10590560C2semidirect
6. #10590559C2semidirect
7. #10590531C2semidirect
9. #10590489C2semidirect
10. #10590478C2semidirect
11. #10590463C2semidirect
13. #10590360C2semidirect
15. #10590251C2semidirect
62. #5727D3semidirect
72. #5089D3semidirect
637. C32#3367semidirect
708. C3#81670semidirect
709. C3#83563semidirect

Maximal subgroups

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

subgroupindex
C3×#57272
#105939322
#105927902
C3×#50892
#105905602
#105905592
#105905312
#105905302
#105904892
#105904782
#105904632
#105904522
#105903602
#105903482
#105902512
#835633
#816703