Finite Group Databasebeta

← #11898362

Subgroups — #11898362

Order 1152.

775 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5568C211yesmaximal, characteristic, complemented
2#10593932C211yesmaximal, characteristic, complemented
3C4×#3756C211yesmaximal, characteristic, complemented
4C3×#5028C211yesmaximal, characteristic, complemented
5#10591626C211yesmaximal, characteristic, complemented
6#10591606C211yesmaximal, characteristic
7#10591578C211yesmaximal, characteristic, complemented
8#10591564C211yesmaximal, characteristic, complemented
9#10590559C211yesmaximal, characteristic, complemented
10#10590532C211yesmaximal, characteristic, complemented
11#10590476C211yesmaximal, characteristic, complemented
12#10590452C211yesmaximal, characteristic
13#10590378C211yesmaximal, characteristic, complemented
14#10590353C211yesmaximal, characteristic
15#10590250C211yesmaximal, characteristic, complemented
16#83670—31nomaximal
17#80588—31nomaximal
18C32×C4×Q8C2211yescharacteristic
19C2×#3756C2211yescharacteristic
20C4×#634C2211yescharacteristic
21C3×#947C2211yescharacteristic
22C3×#944C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C2×C3×#215C2211yescharacteristic
25C3×#898—21no—
26C3×#896—21no—
27C3×#893C2211yescharacteristic
28C3×#887C2211yescharacteristic
29C3×#876—21no—
30C3×#875C2211yescharacteristic
31C3×#875C2211yescharacteristic
32C3×#872—21no—
33C3×C4×Dic6C2211yescharacteristic
34Dic3×D12C2211yescharacteristic
35#63887—21no—
36#63878—21no—
37#63866C2211yescharacteristic
38#63862—21no—
39#63860C2211yescharacteristic
40#63858—21no—
41Dic3×Dic6C2211yescharacteristic
42C2×#3719C2211yescharacteristic
43C2×#3718C2211yescharacteristic
44C2×#3716C2211yescharacteristic
45C2×#3715C2211yescharacteristic
46C2×#3715C2211yescharacteristic
47C2×#3713C2211yescharacteristic
48#63662C2211yescharacteristic
49#63637C2211yescharacteristic
50#63634C2211yescharacteristic
51C4×C3⋊(C3⋊C8)C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×C4⋊(C3⋊C8)C2211yescharacteristic
55Dic3⋊(C3⋊C8)C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63563C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#556—31no—
62#5671—31no—
63#5584—31no—
64#5568D311yescharacteristic, complemented
65C3×#464—31no—
66#5185—31no—
67#5183—31no—
68#5168—31no—
69#5162—31no—
70#5092—31no—
71#5083—31no—
72#5059—31no—
73#5059—31no—
74#5059—31no—
75#5054—31no—
76#5054—31no—
77C4×#216—31no—
78C4×#216—31no—
79C4×#216—31no—
80C4×#216—61no—
81#5028—31no—
82#5028D311yescharacteristic, complemented
83Q8×C3⋊C8—31no—
84#5019—31no—
85C4×#213—31no—
86#4845—31no—
87#4830—31no—
88#4818—31no—
89#4790—31no—
90#4767—31no—
91#4756—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×D12C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×Dic6D411yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×D3×Dic3—21no—
101C32×C4⋊C4—21no—
102C32×C4⋊C4C2311yescharacteristic
103C32×C42—21no—
104C32×C42C2311yescharacteristic
105#3756—22no—
106C4⋊(C3⋊Dic3)C2311yescharacteristic
107#3750—21no—
108C4×C3⋊Dic3—21no—
109C2×C3⋊(C3⋊C8)C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C3×#216—41no—
112C3×#215—41no—
113C3×(C2×D3)⋊C4—21no—
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×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3D411yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4D411yescharacteristic
125C3×Dic3⋊C4D411yescharacteristic
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138#3719—41no—
139#3718—22no—
140#3716—41no—
141#3715—41no—
142#3715—41no—
143#3713—22no—
144#3393—91noSylow
145C2×C3×Q16—31no—
146C2×C3×SD16—31no—
147C3×C4⋊Q8—31no—
148C3×#126—61no—
149C3×#126—61no—
150C3×#124—31no—
151C3×#124—31no—
152C3×#124—31no—
153C3×C22⋊Q8—61no—
154C3×C4×Q8—21no—
155C3×C4×Q8—31no—
156C3×C4×Q8—31no—
157C3×C4×Q8C2×D311yescharacteristic
158C3×C4×Q8C2×D311yescharacteristic
159C3×C4×D4—31no—
160C3×#117—61no—
161#947C2×D311yescharacteristic
162#946—61no—
163Q8×Dic3—31no—
164#944—31no—
165#944C2×D311yescharacteristic
166C2×#216—31no—
167C2×#216—31no—
168C2×#216—31no—
169C2×#216—31no—
170C2×#216—31no—
171C2×#216—61no—
172C2×#216C2×D311yescharacteristic
173C2×#215—31no—
174C2×#215—31no—
175C2×#215C2×D311yescharacteristic
176#936—31no—
177D4×Dic3—31no—
178C2×#214—31no—
179C2×#214—31no—
180C2×#214—31no—
181C2×#213—31no—
182C2×#213—31no—
183C2×Dic12—31no—
184C2×#204—31no—
185#898—21no—
186#898—61no—
187#898—61no—
188#896—21no—
189#893C2×D311yescharacteristic
190#892—61no—
191#887C2×D311yescharacteristic
192#879—61no—
193#879—61no—
194#878—61no—
195#877—61no—
196#876—21no—
197#875—31no—
198#875C2×D311yescharacteristic
199#875C2×D311yescharacteristic
200C4×D12—31no—
201#872—21no—
202#869—31no—
203C4×Dic6—31no—
204C4×Dic6—31no—
205C4×Dic6—31no—
206C4×Dic6—61no—
207C4×Dic6C2×D311yescharacteristic
208C3×C4⋊C8—31no—
209C3×#103—31no—
210C3×#102—31no—
211#835—31no—
212#835—31no—
213#835—31no—
214#835—61no—
215#832—31no—
216#821—31no—
217#816—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220C8×Dic3—31no—
221C8×Dic3—31no—
222#810—31no—
223#810—31no—
224#810—61no—
225#810C2×D311yescharacteristic
226#809C2×D311yescharacteristic
227#807—31no—
228#807—31no—
229#807—61no—
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)C2×D311yescharacteristic
233C4×C3⋊C8—31no—
234C4×C3⋊C8—31no—
235C4×C3⋊C8—31no—
236C4×C3⋊C8—31no—
237C4×C3⋊C8—61no—
238C22×C3×D3—21no—
239C22×C3×D3—21no—
240C32×Q8—21no—
241C32×Q8—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2×D411yescharacteristic
246C2×C32×C4C2411yescharacteristic
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3—21no—
249#634—21no—
250#634—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—21no—
258C3×D12—21no—
259C3×D12—21no—
260C3×D12—21no—
261C3×C4×D3—42no—
262C3×Dic6—22no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267D3×Dic3—42no—
268C3⋊(C3⋊C8)—21no—
269C3⋊(C3⋊C8)#4112yes—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#556—31no—
273#556—91no—
274#495—91no—
275#495—91no—
276#494—91no—
277#464—31no—
278#464—91no—
279#464—91no—
280#464—91no—
281#461—91no—
282#461—91no—
283C8×Q8—91no—
284C4×Q16—91no—
285C4×Q16—91no—
286C4×D8—91no—
287C2×C3×Q8—21no—
288C2×C3×Q8—31no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—31no—
294C2×C3×D4—31no—
295C22×C3×C4—61no—
296C22×Dic3—61no—
297C2×D12C22×D311yescharacteristic
298C2×D12C22×D311yescharacteristic
299C2×C4×D3—21no—
300C2×C4×D3—61no—
301C2×Dic6—31no—
302C2×Dic6—31no—
303C2×Dic6—61no—
304C2×Dic6#6711yescharacteristic
305C2×Dic6C22×D311yescharacteristic
306C2×Dic6C22×D311yescharacteristic
307C3×Q16—121no—
308C3×SD16—121no—
309C2×C3×C8—31no—
310C2×C3×C8—31no—
311C3×C4⋊C4—21no—
312C3×C4⋊C4—21no—
313C3×C4⋊C4—21no—
314C3×C4⋊C4—31no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—41no—
318C3×C4⋊C4—61no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4C22×D311yescharacteristic
322C3×C4⋊C4C22×D311yescharacteristic
323C3×C22⋊C4—61no—
324C3×C22⋊C4—61no—
325C3×C22⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C42—21no—
331C3×C42—21no—
332C3×C42—21no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—41no—
336C3×C42—61no—
337C3×C42C22×D311yescharacteristic
338C3×C42C22×D311yescharacteristic
339#217—61no—
340#217—61no—
341#217—61no—
342#216—41no—
343#216—62no—
344#216—62no—
345#216—62no—
346#216—62no—
347#216—64no—
348#216—121no—
349#215—41no—
350#215—121no—
351#215—121no—
352#214—121no—
353#214—121no—
354#214—121no—
355#213—62no—
356#213—62no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—21no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—21no—
361(C2×D3)⋊C4—21no—
362(C2×D3)⋊C4—21no—
363(C2×D3)⋊C4—21no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3#6711yescharacteristic
374Dic3⋊C4—21no—
375Dic3⋊C4—21no—
376Dic3⋊C4—21no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—121no—
383Dic3⋊C4#6711yescharacteristic
384Dic3⋊C4#6711yescharacteristic
385C4×Dic3—21no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—121no—
391C4×Dic3C22×D311yescharacteristic
392C4×Dic3C22×D311yescharacteristic
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—31no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—61no—
398C2×C3⋊C8—61no—
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401Dic12—121no—
402#204—121no—
403C22×C32C22×D411yescharacteristic
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C32×C4—21no—
411C32×C4—21no—
412C32×C4—41no—
413C32×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C4H(5,𝔽2)11yescharacteristic
416C3⋊Dic3—41no—
417C3⋊Dic3—41no—
418C3×Dic3—21no—
419C3×Dic3—21no—
420C3×Dic3—21no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3#13512yes—
424C2×Q16—31no—
425C2×Q16—91no—
426C2×Q16—91no—
427C2×Q16—91no—
428C2×SD16—31no—
429C2×SD16—91no—
430C2×SD16—91no—
431C2×SD16—91no—
432C2×D8—91no—
433C4⋊Q8—31no—
434C4⋊Q8—91no—
435#126—61no—
436#126—61no—
437#126—181no—
438#126—181no—
439#124—31no—
440#124—31no—
441#124—31no—
442#124—91no—
443C22⋊Q8—61no—
444C22⋊Q8—181no—
445C4×Q8—31no—
446C4×Q8—31no—
447C4×Q8—91no—
448C4×Q8—91no—
449C4×Q8D3211yescharacteristic
450C4×D4—31no—
451C4×D4—91no—
452#117—61no—
453#117—181no—
454#107—91no—
455C4⋊C8—31no—
456C4⋊C8—91no—
457C4⋊C8—91no—
458#103—31no—
459#103—91no—
460#103—91no—
461#103—91no—
462#102—31no—
463#102—91no—
464C4×C8—91no—
465C4×C8—91no—
466C4×C8—91no—
467C23×C3—61no—
468C23×C3—61no—
469C22×D3—21no—
470C22×D3—21no—
471C3×Q8—22no—
472C3×Q8—21no—
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—41no—
477C3×Q8—62no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×Q8—61no—
481C3×Q8—61no—
482C3×D4—61no—
483C3×D4—61no—
484C3×D4—61no—
485C3×D4—61no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—122no—
502C2×C3×C4D3×D411yescharacteristic
503C2×C3×C4D3×D411yescharacteristic
504C2×C3×C4C2×#6711yescharacteristic
505C2×C3×C4C2×#6711yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—121no—
515C2×Dic3—121no—
516C2×Dic3—122no—
517C2×Dic3C2×#6711yescharacteristic
518C2×Dic3C2×#6711yescharacteristic
519C2×Dic3C2×#6711yescharacteristic
520C2×Dic3C2×#6711yescharacteristic
521D12—21no—
522D12—21no—
523D12—21no—
524D12—21no—
525C4×D3—42no—
526C4×D3—122no—
527Dic6—22no—
528Dic6—21no—
529Dic6—21no—
530Dic6—21no—
531Dic6—21no—
532Dic6—62no—
533Dic6—61no—
534Dic6—61no—
535Dic6—61no—
536Dic6—61no—
537Dic6—121no—
538C3×C8—61no—
539C3×C8—61no—
540C3⋊C8—21no—
541C3⋊C8—21no—
542C3⋊C8—32no—
543C3⋊C8—32no—
544C3⋊C8—62no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—121no—
548C2×C32#55011yescharacteristic
549C2×C32C2×#13511yescharacteristic
550C2×C32#57811yescharacteristic
551C3×D3—81no—
552C3×D3—81no—
553C2×Q8—31no—
554C2×Q8—31no—
555C2×Q8—31no—
556C2×Q8—91no—
557C2×Q8C2×D3211yescharacteristic
558C2×D4—31no—
559C2×D4—31no—
560C22×C4—61no—
561C22×C4—181no—
562Q16—121no—
563Q16—182no—
564Q16—182no—
565Q16—361no—
566SD16—121no—
567SD16—361no—
568SD16—361no—
569SD16—361no—
570D8—182no—
571C2×C8—31no—
572C2×C8—31no—
573C2×C8—91no—
574C2×C8—91no—
575C4⋊C4—21no—
576C4⋊C4—31no—
577C4⋊C4—31no—
578C4⋊C4—31no—
579C4⋊C4—61no—
580C4⋊C4—61no—
581C4⋊C4—61no—
582C4⋊C4—91no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4C2×D3211yescharacteristic
588C22⋊C4—61no—
589C22⋊C4—61no—
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C42—21no—
599C42—31no—
600C42—31no—
601C42—61no—
602C42—181no—
603C42—181no—
604C42C2×D3211yescharacteristic
605C22×C3—21no—
606C22×C3—121no—
607C22×C3—121no—
608C22×C3—121no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3C2×D3×D411yescharacteristic
613C22×C3C22×#6711yescharacteristic
614C2×D3—41no—
615C2×D3—41no—
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—41no—
620C3×C4—22no—
621C3×C4—21no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—32no—
628C3×C4—41no—
629C3×C4—42no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—61no—
635C3×C4—61no—
636C3×C4—61no—
637C3×C4—81no—
638C3×C4—121no—
639C3×C4—121no—
640C3×C4#100411yescharacteristic
641C3×C4D3×#4111yescharacteristic
642C3×C4D3×#4111yescharacteristic
643C3×C4#100911yescharacteristic
644Dic3—21no—
645Dic3—21no—
646Dic3—21no—
647Dic3—41no—
648Dic3—41no—
649Dic3—122no—
650Dic3—121no—
651Dic3—121no—
652Dic3—121no—
653Dic3—121no—
654Dic3—241no—
655Dic3#95012yes—
656C32#339311yescharacteristic, complemented, Sylow
657C23—61no—
658C23—61no—
659Q8—21no—
660Q8—21no—
661Q8—62no—
662Q8—61no—
663Q8—61no—
664Q8—61no—
665Q8—61no—
666Q8—181no—
667Q8—181no—
668D4—61no—
669D4—61no—
670D4—61no—
671D4—61no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—31no—
675C2×C4—31no—
676C2×C4—31no—
677C2×C4—31no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—122no—
681C2×C4—181no—
682C2×C4—181no—
683C2×C4—362no—
684C2×C4D3×#6711yescharacteristic
685C2×C4D3×#6711yescharacteristic
686C2×C4C22×D3211yescharacteristic
687C8—61no—
688C8—61no—
689C8—92no—
690C8—181no—
691C2×C3—21no—
692C2×C3—21no—
693C2×C3—21no—
694C2×C3—241no—
695C2×C3—241no—
696C2×C3#559911yescharacteristic
697C2×C3D3×#13511yescharacteristic
698C2×C3#577911yescharacteristic
699C2×C3C2×#95011yescharacteristic
700C2×C3#583411yescharacteristic
701C2×C3#583811yescharacteristic
702D3—81no—
703D3—81no—
704C22—121no—
705C22—121no—
706C22—121no—
707C22—121no—
708C22—121no—
709C22—121no—
710C22C2×D3×#6711yescharacteristic
711C4—21no—
712C4—21no—
713C4—32no—
714C4—41no—
715C4—41no—
716C4—61no—
717C4—61no—
718C4—61no—
719C4—121no—
720C4—121no—
721C4—361no—
722C4—361no—
723C4#6430611yescharacteristic
724C4#6430711yescharacteristic
725C3—21no—
726C3#8058811yescharacteristic, complemented
727C3#8367011yescharacteristic, complemented
728C2—241no—
729C2—241no—
730C2#1059500611yescharacteristic
731C2#1059532811yescharacteristic
732C2D3×#95011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radicalC2×#3713C22
hypercenterC4×Q8D32
hypocenterC32#3393
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×#5568C2semidirect
2. #10593932C2semidirect
3. C4×#3756C2semidirect
4. C3×#5028C2semidirect
5. #10591626C2semidirect
7. #10591578C2semidirect
8. #10591564C2semidirect
9. #10590559C2semidirect
10. #10590532C2semidirect
11. #10590476C2semidirect
13. #10590378C2semidirect
15. #10590250C2semidirect
64. #5568D3semidirect
82. #5028D3semidirect
656. C32#3393semidirect
726. C3#80588semidirect
727. C3#83670semidirect

Maximal subgroups

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

subgroupindex
C3×#55682
#105939322
C4×#37562
C3×#50282
#105916262
#105916062
#105915782
#105915642
#105905592
#105905322
#105904762
#105904522
#105903782
#105903532
#105902502
#836703
#805883