Finite Group Databasebeta

← #11872593

Subgroups — #11872593

Order 1152.

848 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596114C211yesmaximal, characteristic
2#10594818C211yesmaximal, characteristic, complemented
3C3×#5050C211yesmaximal, characteristic, complemented
4C3×#5045C211yesmaximal, characteristic, complemented
5#10591582C211yesmaximal, characteristic, complemented
6#10591581C211yesmaximal, characteristic, complemented
7#10591579C211yesmaximal, characteristic, complemented
8#10591579C211yesmaximal, characteristic, complemented
9#10591174C211yesmaximal, characteristic
10#10591136C211yesmaximal, characteristic
11#10591062C211yesmaximal, characteristic, complemented
12#10590497C211yesmaximal, characteristic, complemented
13#10590496C211yesmaximal, characteristic, complemented
14#10590484C211yesmaximal, characteristic, complemented
15#10590483C211yesmaximal, characteristic, complemented
16#81497—31nomaximal
17#80176—31nomaximal
18C22×C3×Dic6C2211yescharacteristic
19C32×C22⋊Q8C2211yescharacteristic
20#64156C2211yescharacteristic
21Q8×C3⋊Dic3C2211yescharacteristic
22#64139C2211yescharacteristic
23#64135C2211yescharacteristic
24#64107—21no—
25#64106—21no—
26#64102C2211yescharacteristic
27#64097C2211yescharacteristic
28#64094—21no—
29#64092—21no—
30C2×C3×#216C2211yescharacteristic
31C2×C3×#216C2211yescharacteristic
32C3×#926C2211yescharacteristic
33#63955—21no—
34#63955—21no—
35#63843C2211yescharacteristic
36#63843C2211yescharacteristic
37#63843C2211yescharacteristic
38#63843C2211yescharacteristic
39Dic3×Dic6—21no—
40Dic3×Dic6—21no—
41C2×#3717C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43C3×#835C2211yescharacteristic
44C3×#835C2211yescharacteristic
45C3×#830C2211yescharacteristic
46C3×#830C2211yescharacteristic
47C3×#810C2211yescharacteristic
48C3×#810C2211yescharacteristic
49C3×#808C2211yescharacteristic
50C3×#807C2211yescharacteristic
51#63575C2211yescharacteristic
52#63573C2211yescharacteristic
53#63572C2211yescharacteristic
54#63572C2211yescharacteristic
55#63566C2211yescharacteristic
56#63566C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63555C2211yescharacteristic
60#63553C2211yescharacteristic
61#5812—31no—
62#5643—31no—
63#5643—31no—
64#5643—61no—
65#5516—31no—
66C3×#485—31no—
67C3×#451—31no—
68#5227—31no—
69#5185—31no—
70#5185—31no—
71#5184—31no—
72Dic3×Q16—31no—
73#5050D311yescharacteristic, complemented
74#5045D311yescharacteristic, complemented
75#5003—31no—
76#4889—31no—
77#4875—31no—
78#4854—31no—
79#4852—31no—
80#4817—31no—
81#4798—31no—
82#4798—31no—
83#4793—31no—
84#4791—31no—
85#4790—31no—
86#4789—31no—
87#4788—31no—
88#4738—31no—
89#4737—31no—
90#4720—31no—
91#4720—31no—
92C2×C32×Q8C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C2×#638—21no—
95C2×C4⋊(C3⋊D3)C2311yescharacteristic
96C2×C4×C3⋊D3—21no—
97C2×#634—21no—
98C22×C3×Dic3—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6—22no—
101C2×C3×Dic6—22no—
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C32×C4⋊C4—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C22⋊C4—21no—
107#3757D411yescharacteristic
108#3757D411yescharacteristic
109#3752—21no—
110#3752—21no—
111#3752—21no—
112#3752—21no—
113C4⋊(C3⋊Dic3)—21no—
114C4⋊(C3⋊Dic3)D411yescharacteristic
115C4⋊(C3⋊Dic3)D411yescharacteristic
116C4⋊(C3⋊Dic3)C2311yescharacteristic
117#3750—21no—
118C4×C3⋊Dic3—21no—
119C4×C3⋊Dic3C2311yescharacteristic
120C4×C3⋊Dic3C2311yescharacteristic
121C3×#217—21no—
122C3×#216—22no—
123C3×#216—22no—
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4⋊Dic3C2311yescharacteristic
126C3×C4×Dic3—21no—
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic32—21no—
136Dic32—21no—
137Dic32—21no—
138Dic32—21no—
139#3717—22no—
140#3717—22no—
141#3121—91noSylow
142C22×C3×Q8—31no—
143C22×Dic6C2×D311yescharacteristic
144C2×C3×Q16—31no—
145C2×C3×Q16—31no—
146C3×C22⋊Q8—21no—
147C3×C22⋊Q8C2×D311yescharacteristic
148C3×C22⋊Q8C2×D311yescharacteristic
149C3×#117—31no—
150#947—31no—
151#947—31no—
152#947—61no—
153Q8×Dic3—31no—
154Q8×Dic3—31no—
155Q8×Dic3—31no—
156Q8×Dic3—31no—
157Q8×Dic3—31no—
158Q8×Dic3—31no—
159Q8×Dic3—61no—
160Q8×Dic3—61no—
161Q8×Dic3—61no—
162C2×#216C2×D311yescharacteristic
163C2×#216C2×D311yescharacteristic
164C2×#215—31no—
165C2×#215—31no—
166#930—31no—
167#930—31no—
168#930—61no—
169#926—31no—
170#926—31no—
171#926—61no—
172#926—61no—
173#926—61no—
174#926C2×D311yescharacteristic
175C2×#204—31no—
176C2×#204—31no—
177#898—61no—
178#898—61no—
179#898—62no—
180#897—61no—
181#897—61no—
182#897—62no—
183#893—31no—
184#893—31no—
185#893—61no—
186#888—31no—
187#888—31no—
188#888—61no—
189#887—31no—
190#887—31no—
191#887—31no—
192#887—31no—
193#885—61no—
194#885—61no—
195#885—62no—
196#883—61no—
197#883—61no—
198#883—62no—
199#877—61no—
200#877—61no—
201C4×Dic6—61no—
202C4×Dic6—61no—
203C3×#107—31no—
204C3×#106—31no—
205C3×#103—31no—
206C3×#103—31no—
207C3×#103—31no—
208C3×#103—31no—
209C3×C22⋊C8—31no—
210C3×C22⋊C8—31no—
211#835—31no—
212#835—31no—
213#835C2×D311yescharacteristic
214#835C2×D311yescharacteristic
215#830C2×D311yescharacteristic
216#830C2×D311yescharacteristic
217#821—31no—
218#821—31no—
219#818—31no—
220#817—31no—
221#816—31no—
222#816—31no—
223#815—31no—
224#815—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—31no—
227Dic3⋊C8—31no—
228Dic3⋊C8—31no—
229C8×Dic3—31no—
230C8×Dic3—31no—
231#810C2×D311yescharacteristic
232#810C2×D311yescharacteristic
233#809—31no—
234#809—31no—
235#808—31no—
236#808C2×D311yescharacteristic
237#807—31no—
238#807C2×D311yescharacteristic
239C23×C32C2×D411yescharacteristic
240C22×C3⋊D3—21no—
241C32×Q8—21no—
242C32×Q8—21no—
243C2×C32×C4—21no—
244C2×C32×C4—21no—
245C2×C32×C4—21no—
246C2×C32×C4—21no—
247C2×C32×C4C2×D411yescharacteristic
248C2×C32×C4C2411yescharacteristic
249#638—81no—
250C2×C3⋊Dic3—21no—
251C2×C3⋊Dic3C2×D411yescharacteristic
252C2×C3⋊Dic3C2×D411yescharacteristic
253C2×C3⋊Dic3C2×D411yescharacteristic
254C2×C3⋊Dic3C2×D411yescharacteristic
255C4⋊(C3⋊D3)—21no—
256C4⋊(C3⋊D3)—21no—
257C4×C3⋊D3—81no—
258#634—81no—
259C2×C3×Dic3—24no—
260C2×C3×Dic3—21no—
261C2×C3×Dic3—21no—
262C2×C3×Dic3—21no—
263C2×C3×Dic3—21no—
264C3×Dic6—24no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267C3×Dic6#4112yes—
268C3×Dic6#4112yes—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272C3×C3⋊C8—21no—
273#542—91no—
274#519—91no—
275#485—31no—
276#482—91no—
277#477—91no—
278#475—91no—
279#464—91no—
280#464—91no—
281#451—31no—
282#448—91no—
283#441—91no—
284#440—91no—
285C4×Q16—91no—
286C4×SD16—91no—
287#433—91no—
288C2×C3×Q8—21no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×Q8—62no—
292C2×C3×Q8—62no—
293C2×C3×Q8—61no—
294C2×C3×Q8C22×D311yescharacteristic
295C2×C3×Q8C22×D311yescharacteristic
296C22×C3×C4—21no—
297C22×C3×C4—61no—
298C22×C3×C4C22×D311yescharacteristic
299C22×C3×C4C22×D311yescharacteristic
300C2×#67—62no—
301C2×#67—61no—
302C2×#67—61no—
303C22×Dic3—21no—
304C2×D12—31no—
305C2×D12—31no—
306C2×D12—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—62no—
310C2×Dic6—21no—
311C2×Dic6—22no—
312C2×Dic6—22no—
313C2×Dic6—61no—
314C2×Dic6—61no—
315C2×Dic6—62no—
316C2×Dic6C22×D311yescharacteristic
317C2×Dic6C22×D311yescharacteristic
318C3×Q16—62no—
319C3×Q16—62no—
320C2×C3×C8—31no—
321C2×C3×C8—31no—
322C2×C3×C8—31no—
323C2×C3×C8—31no—
324C3×C4⋊C4—22no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—21no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C4⋊C4C22×D311yescharacteristic
332C3×C22⋊C4—22no—
333C3×C22⋊C4—21no—
334C3×C22⋊C4—21no—
335C3×C22⋊C4—61no—
336C3×C42—61no—
337#217—21no—
338#217—31no—
339#217—31no—
340#217—31no—
341#217—31no—
342#217—61no—
343#217—61no—
344#216—22no—
345#216—22no—
346#215—62no—
347#215—62no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—62no—
355(C2×D3)⋊C4—62no—
356(C2×D3)⋊C4—62no—
357(C2×D3)⋊C4—62no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—62no—
376C4⋊Dic3C22×D311yescharacteristic
377C4⋊Dic3C22×D311yescharacteristic
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—62no—
385C4×Dic3—21no—
386C4×Dic3—31no—
387C4×Dic3—31no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3—61no—
399C4×Dic3—61no—
400C4×Dic3—61no—
401C4×Dic3—61no—
402C4×Dic3—62no—
403C2×C3⋊C8C22×D311yescharacteristic
404C2×C3⋊C8C22×D311yescharacteristic
405C2×C3⋊C8C22×D311yescharacteristic
406C2×C3⋊C8C22×D311yescharacteristic
407#204—62no—
408#204—62no—
409C22×C32—21no—
410C22×C32—21no—
411C22×C32—21no—
412C22×C32C22×D411yescharacteristic
413C2×C3⋊D3—41no—
414C2×C3⋊D3—41no—
415C2×C3⋊D3—41no—
416C32×C4—21no—
417C32×C4—41no—
418C32×C4—41no—
419C32×C4C2×#4111yescharacteristic
420C32×C4C2×#4111yescharacteristic
421C3⋊Dic3—21no—
422C3⋊Dic3—21no—
423C3⋊Dic3—21no—
424C3⋊Dic3—21no—
425C3⋊Dic3—41no—
426C3×Dic3—22no—
427C3×Dic3—22no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C22×Q8—31no—
431C2×Q16—31no—
432C2×Q16—31no—
433C2×SD16—91no—
434C2×SD16—91no—
435C4⋊Q8—91no—
436#126—181no—
437#124—91no—
438#124—181no—
439#123—181no—
440C22⋊Q8—181no—
441C22⋊Q8D3211yescharacteristic
442#121—91no—
443C4×Q8—91no—
444C4×Q8—91no—
445C4×Q8—91no—
446C4×Q8—91no—
447C4×Q8—91no—
448C4×Q8—181no—
449C4×Q8—181no—
450C4×D4—91no—
451#117—31no—
452#117—91no—
453#117—181no—
454#117—181no—
455#107—31no—
456#107—91no—
457#106—31no—
458#106—91no—
459C4⋊C8—91no—
460C4⋊C8—91no—
461#103—31no—
462#103—31no—
463#103—31no—
464#103—31no—
465#103—91no—
466#103—91no—
467#102—91no—
468#102—91no—
469C22⋊C8—31no—
470C22⋊C8—31no—
471#97—91no—
472C4×C8—91no—
473C23×C3—21no—
474C23×C3D3×D411yescharacteristic
475C23×C3D3×D411yescharacteristic
476C22×D3—62no—
477C22×D3—61no—
478C22×D3—61no—
479C3×Q8—21no—
480C3×Q8—21no—
481C3×Q8—21no—
482C3×Q8—21no—
483C3×Q8—32no—
484C3×Q8—32no—
485C3×Q8—41no—
486C3×Q8—41no—
487C3×Q8—64no—
488C3×Q8—61no—
489C3×Q8—61no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—22no—
495C2×C3×C4—22no—
496C2×C3×C4—21no—
497C2×C3×C4—21no—
498C2×C3×C4—21no—
499C2×C3×C4—21no—
500C2×C3×C4—21no—
501C2×C3×C4—21no—
502C2×C3×C4—41no—
503C2×C3×C4—41no—
504C2×C3×C4—64no—
505C2×C3×C4—61no—
506C2×C3×C4—61no—
507C2×C3×C4—61no—
508C2×C3×C4—61no—
509C2×C3×C4D3×D411yescharacteristic
510C2×C3×C4D3×D411yescharacteristic
511C2×C3×C4C23×D311yescharacteristic
512C2×C3×C4C23×D311yescharacteristic
513#67—241no—
514#67—241no—
515#67—242no—
516C2×Dic3—24no—
517C2×Dic3—21no—
518C2×Dic3—21no—
519C2×Dic3—21no—
520C2×Dic3—21no—
521C2×Dic3—31no—
522C2×Dic3—31no—
523C2×Dic3—31no—
524C2×Dic3—31no—
525C2×Dic3—31no—
526C2×Dic3—31no—
527C2×Dic3—31no—
528C2×Dic3—31no—
529C2×Dic3—61no—
530C2×Dic3—61no—
531C2×Dic3—61no—
532C2×Dic3—61no—
533C2×Dic3—62no—
534C2×Dic3—61no—
535C2×Dic3—61no—
536D12—61no—
537D12—61no—
538D12—61no—
539D12—61no—
540D12—121no—
541D12—121no—
542C4×D3—241no—
543C4×D3—241no—
544C4×D3—242no—
545Dic6—24no—
546Dic6—21no—
547Dic6—21no—
548Dic6—241no—
549Dic6—241no—
550Dic6—242no—
551Dic6#23712yes—
552Dic6#23712yes—
553C3×C8—61no—
554C3×C8—61no—
555C3×C8—61no—
556C3×C8—61no—
557C3⋊C8—21no—
558C3⋊C8—21no—
559C3⋊C8—21no—
560C3⋊C8—21no—
561C2×C32—41no—
562C2×C32#52511yescharacteristic
563C2×C32#57711yescharacteristic
564C2×C32#57811yescharacteristic
565C3⋊D3—81no—
566C2×Q8—31no—
567C2×Q8—31no—
568C2×Q8—62no—
569C2×Q8—62no—
570C2×Q8—61no—
571C2×Q8—181no—
572C2×Q8C2×D3211yescharacteristic
573C2×D4—91no—
574C2×D4—181no—
575C22×C4—61no—
576C22×C4—181no—
577C22×C4C2×D3211yescharacteristic
578Q16—62no—
579Q16—62no—
580SD16—182no—
581SD16—182no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—31no—
585C2×C8—31no—
586C4⋊C4—21no—
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—91no—
590C4⋊C4—91no—
591C4⋊C4—91no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4C2×D3211yescharacteristic
599C22⋊C4—21no—
600C22⋊C4—61no—
601C22⋊C4—91no—
602C22⋊C4—91no—
603C22⋊C4—181no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C42—61no—
608C42—91no—
609C42—91no—
610C42—181no—
611C42—181no—
612C42—181no—
613C42—181no—
614C42—181no—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—21no—
618C22×C3—21no—
619C22×C3—21no—
620C22×C3—21no—
621C22×C3—21no—
622C22×C3—41no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3C2×D3×D411yescharacteristic
626C22×C3C2×D3×D411yescharacteristic
627C2×D3—122no—
628C2×D3—122no—
629C2×D3—122no—
630C2×D3—121no—
631C2×D3—121no—
632C2×D3—121no—
633C2×D3—121no—
634C2×D3—121no—
635C2×D3—121no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—41no—
641C3×C4—42no—
642C3×C4—42no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—41no—
646C3×C4—41no—
647C3×C4—62no—
648C3×C4—62no—
649C3×C4—121no—
650C3×C4—121no—
651C3×C4C2×#23711yescharacteristic
652C3×C4C2×#23711yescharacteristic
653C3×C4D3×#4111yescharacteristic
654C3×C4D3×#4111yescharacteristic
655Dic3—22no—
656Dic3—22no—
657Dic3—41no—
658Dic3—41no—
659Dic3—61no—
660Dic3—61no—
661Dic3—61no—
662Dic3—61no—
663Dic3—61no—
664Dic3—61no—
665Dic3—61no—
666Dic3—61no—
667Dic3—121no—
668Dic3—121no—
669Dic3—121no—
670Dic3—121no—
671Dic3—122no—
672Dic3—121no—
673Dic3—121no—
674C32#312111yescharacteristic, complemented, Sylow
675C23—181no—
676C23#381111yescharacteristic
677Q8—21no—
678Q8—21no—
679Q8—32no—
680Q8—32no—
681Q8—64no—
682Q8—61no—
683Q8—61no—
684Q8—721no—
685D4—181no—
686D4—181no—
687D4—721no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—64no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—91no—
698C2×C4—91no—
699C2×C4—91no—
700C2×C4—91no—
701C2×C4—181no—
702C2×C4—721no—
703C2×C4#381111yescharacteristic
704C2×C4C22×D3211yescharacteristic
705C8—61no—
706C8—61no—
707C8—61no—
708C8—61no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—21no—
712C2×C3—41no—
713C2×C3—41no—
714C2×C3—81no—
715C2×C3#558611yescharacteristic
716C2×C3#565611yescharacteristic
717C2×C3#576611yescharacteristic
718C2×C3#577011yescharacteristic
719C2×C3#577811yescharacteristic
720C2×C3#577911yescharacteristic
721D3—242no—
722D3—241no—
723D3—241no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—361no—
728C22—361no—
729C22—361no—
730C22C2×#381111yescharacteristic
731C4—21no—
732C4—41no—
733C4—41no—
734C4—62no—
735C4—62no—
736C4—121no—
737C4—121no—
738C4—181no—
739C4—181no—
740C4—181no—
741C4—181no—
742C4—361no—
743C4D3×#23711yescharacteristic
744C4D3×#23711yescharacteristic
745C3—21no—
746C3#8017611yescharacteristic, complemented
747C3#8149711yescharacteristic, complemented
748C2—41no—
749C2—721no—
750C2#1059516011yescharacteristic
751C2#1059533711yescharacteristic
752C2#1059547311yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊Q8C22
socleC22×C32C22×D4
prime radical#64139C22
hypercenterC22⋊Q8D32
hypocenterC32#3121
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. #10594818C2semidirect
3. C3×#5050C2semidirect
4. C3×#5045C2semidirect
5. #10591582C2semidirect
6. #10591581C2semidirect
7. #10591579C2semidirect
8. #10591579C2semidirect
11. #10591062C2semidirect
12. #10590497C2semidirect
13. #10590496C2semidirect
14. #10590484C2semidirect
15. #10590483C2semidirect
73. #5050D3semidirect
74. #5045D3semidirect
674. C32#3121semidirect
746. C3#80176semidirect
747. C3#81497semidirect

Maximal subgroups

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

subgroupindex
#105961142
#105948182
C3×#50502
C3×#50452
#105915822
#105915812
#105915792
#105911742
#105911362
#105910622
#105904972
#105904962
#105904842
#105904832
#814973
#801763