Finite Group Databasebeta

← #11898391

Subgroups — #11898391

Order 1152.

776 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595387C211yesmaximal, characteristic, complemented
2#10595384C211yesmaximal, characteristic, complemented
3#10592884C211yesmaximal, characteristic, complemented
4C3×#5185C211yesmaximal, characteristic, complemented
5C3×#5183C211yesmaximal, characteristic, complemented
6#10591610C211yesmaximal, characteristic
7#10591609C211yesmaximal, characteristic
8#10591581C211yesmaximal, characteristic, complemented
9Dic3×#216C211yesmaximal, characteristic, complemented
10#10591565C211yesmaximal, characteristic, complemented
11#10591564C211yesmaximal, characteristic, complemented
12#10590801C211yesmaximal, characteristic, complemented
13#10590797C211yesmaximal, characteristic, complemented
14#10590745C211yesmaximal, characteristic
15#10590644C211yesmaximal, characteristic, complemented
16#81795—31nomaximal
17#80588—31nomaximal
18C2×C32×Q16C2211yescharacteristic
19#64156C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21C2×#3755C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C3×#944C2211yescharacteristic
25C3×#944C2211yescharacteristic
26C2×C3×#216C2211yescharacteristic
27C2×C3×#216C2211yescharacteristic
28C2×C3×#215C2211yescharacteristic
29C2×C3×Dic12C2211yescharacteristic
30C4×#627C2211yescharacteristic
31#63895—21no—
32#63894C2211yescharacteristic
33#63893—21no—
34Dic3×D12C2211yescharacteristic
35#63878—21no—
36#63868—21no—
37#63864C2211yescharacteristic
38#63863C2211yescharacteristic
39#63862—21no—
40#63861—21no—
41#63848—21no—
42#63843C2211yescharacteristic
43Dic3×Dic6C2211yescharacteristic
44#63836—21no—
45C2×#3717C2211yescharacteristic
46C2×#3715C2211yescharacteristic
47C2×#3714C2211yescharacteristic
48#63662C2211yescharacteristic
49#63648C2211yescharacteristic
50#63641C2211yescharacteristic
51C3×#835C2211yescharacteristic
52C3×#821C2211yescharacteristic
53C3×Dic3⋊C8C2211yescharacteristic
54C3×C8×Dic3C2211yescharacteristic
55#63575C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63565C2211yescharacteristic
59#63553C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5732—31no—
62#5732—31no—
63#5671—31no—
64#5568—31no—
65C3×#494—31no—
66C3×#464—31no—
67#5191—31no—
68#5191—31no—
69#5185—31no—
70#5185—31no—
71#5185—31no—
72#5185—31no—
73#5185—61no—
74#5185D311yescharacteristic, complemented
75#5183D311yescharacteristic, complemented
76Dic3×Q16—31no—
77Dic3×Q16—31no—
78#5168—31no—
79#5162—31no—
80#5083—31no—
81#5083—31no—
82#5059—31no—
83C4×#216—31no—
84#4845—31no—
85#4830—31no—
86#4818—31no—
87#4790—31no—
88#4767—31no—
89#4756—31no—
90C4×D24—31no—
91C8×Dic6—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×Q8C2311yescharacteristic
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×Dic6C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×#627D411yescharacteristic
99C2×#624—21no—
100C2×D3×Dic3—21no—
101C32×Q16—41no—
102C2×C32×C8C2311yescharacteristic
103#3755—41no—
104#3752—21no—
105#3752—21no—
106C4⋊(C3⋊Dic3)—21no—
107C4⋊(C3⋊Dic3)C2311yescharacteristic
108C4×C3⋊Dic3—21no—
109C4×C3⋊Dic3C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C3×#216—22no—
112C3×#216—22no—
113C3×#215—41no—
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3C2311yescharacteristic
118C3×Dic3⋊C4—21no—
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3C2311yescharacteristic
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C3×Dic12—41no—
128#3724D411yescharacteristic
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3D411yescharacteristic
132Dic3⋊Dic3D411yescharacteristic
133#3722—21no—
134#3722—21no—
135#3722—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139Dic32—21no—
140Dic32—21no—
141#3717—41no—
142#3715—41no—
143#3714—22no—
144#3393—91noSylow
145C2×C3×Q16—21no—
146C2×C3×Q16—31no—
147C2×C3×Q16—31no—
148C2×C3×Q16—31no—
149C2×C3×Q16C2×D311yescharacteristic
150C2×C3×Q16C2×D311yescharacteristic
151C2×C3×SD16—31no—
152C3×C4⋊Q8—31no—
153C3×C4⋊Q8—31no—
154C3×#124—31no—
155C3×C4×Q8—31no—
156#947—31no—
157#947—31no—
158#947—31no—
159#947—31no—
160#947—61no—
161#947C2×D311yescharacteristic
162Q8×Dic3—31no—
163Q8×Dic3—31no—
164Q8×Dic3—31no—
165Q8×Dic3—31no—
166Q8×Dic3—61no—
167Q8×Dic3C2×D311yescharacteristic
168#944C2×D311yescharacteristic
169#944C2×D311yescharacteristic
170C2×#216C2×D311yescharacteristic
171C2×#216C2×D311yescharacteristic
172C2×#215—31no—
173C2×#215—31no—
174C2×#215—31no—
175C2×#215—31no—
176C2×#215—61no—
177C2×#215C2×D311yescharacteristic
178#936—31no—
179D4×Dic3—31no—
180C2×#214—31no—
181C2×#213—31no—
182C2×Dic12C2×D311yescharacteristic
183C2×D24—31no—
184C2×#204—31no—
185#898—61no—
186#898—61no—
187#898—61no—
188#898—61no—
189#898—61no—
190#897—61no—
191#897—61no—
192#896—61no—
193#893—31no—
194#892—61no—
195#892—61no—
196#887—31no—
197#879—61no—
198#879—61no—
199#878—61no—
200#877—61no—
201#876—61no—
202#875—31no—
203C4×D12—31no—
204C4×D12—31no—
205#872—61no—
206C4×Dic6—31no—
207C4×Dic6—31no—
208C4×Dic6—31no—
209C3×C4⋊C8—31no—
210C3×#103—31no—
211C3×#102—31no—
212C3×C4×C8—31no—
213#835—31no—
214#835—31no—
215#835—31no—
216#835—31no—
217#835—61no—
218#835C2×D311yescharacteristic
219#821—31no—
220#821—31no—
221#821—61no—
222#821C2×D311yescharacteristic
223#818—31no—
224#816—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—31no—
227Dic3⋊C8—31no—
228Dic3⋊C8—61no—
229Dic3⋊C8C2×D311yescharacteristic
230C8×Dic3—31no—
231C8×Dic3—31no—
232C8×Dic3—31no—
233C8×Dic3C2×D311yescharacteristic
234#810—31no—
235#807—31no—
236C4⋊(C3⋊C8)—31no—
237C4×C3⋊C8—31no—
238C22×C3⋊D3—21no—
239C22×C3×D3—21no—
240C32×Q8—21no—
241C32×Q8—21no—
242C32×Q8—21no—
243C32×Q8—21no—
244C2×C32×C4—21no—
245C2×C32×C4—21no—
246C2×C32×C4C2411yescharacteristic
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3C2×D411yescharacteristic
249C2×C3⋊Dic3C2×D411yescharacteristic
250C4⋊(C3⋊D3)—21no—
251C4⋊(C3⋊D3)—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×D12—21no—
260C3×D12—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265#627—22no—
266#624—42no—
267D3×Dic3—42no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8#4112yes—
272#556—91no—
273#556—91no—
274#495—91no—
275#495—91no—
276#494—31no—
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—21no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×Q8C22×D311yescharacteristic
295C2×C3×D4—31no—
296C22×Dic3—61no—
297C2×D12—31no—
298C2×D12—31no—
299C2×D12—61no—
300C2×D12C22×D311yescharacteristic
301C2×C4×D3—61no—
302C2×C4×D3—61no—
303C2×C4×D3—61no—
304C2×Dic6—31no—
305C2×Dic6—31no—
306C2×Dic6C22×D311yescharacteristic
307C2×Dic6C22×D311yescharacteristic
308C3×Q16—41no—
309C3×Q16—41no—
310C3×Q16—42no—
311C3×Q16—62no—
312C3×Q16—62no—
313C3×Q16—121no—
314C3×SD16—121no—
315C2×C3×C8—21no—
316C2×C3×C8—31no—
317C2×C3×C8—31no—
318C2×C3×C8C22×D311yescharacteristic
319C2×C3×C8C22×D311yescharacteristic
320C3×C4⋊C4—31no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C22⋊C4—61no—
328C3×C42—31no—
329C3×C42—31no—
330C3×C42—61no—
331#217—61no—
332#217—61no—
333#217—61no—
334#216—22no—
335#216—22no—
336#215—41no—
337#215—121no—
338#215—121no—
339#215—121no—
340#215—121no—
341#215—122no—
342#214—121no—
343#213—62no—
344(C2×D3)⋊C4—21no—
345(C2×D3)⋊C4—21no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
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—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—121no—
360(C2×D3)⋊C4—121no—
361C4⋊Dic3—21no—
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—121no—
372C4⋊Dic3C22×D311yescharacteristic
373Dic3⋊C4—21no—
374Dic3⋊C4—21no—
375Dic3⋊C4—21no—
376Dic3⋊C4—21no—
377Dic3⋊C4—31no—
378Dic3⋊C4—31no—
379Dic3⋊C4—31no—
380Dic3⋊C4—31no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383C4×Dic3—21no—
384C4×Dic3—31no—
385C4×Dic3—31no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—121no—
394C4×Dic3C22×D311yescharacteristic
395C4×Dic3C22×D311yescharacteristic
396C2×C3⋊C8—31no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—61no—
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401Dic12—41no—
402D24—62no—
403#204—121no—
404C22×C32C22×D411yescharacteristic
405C2×C3⋊D3—41no—
406C2×C3⋊D3—41no—
407C2×C3⋊D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C32×C4—41no—
412C32×C4—41no—
413C32×C4C2×#4111yescharacteristic
414C32×C4H(5,𝔽2)11yescharacteristic
415C3⋊Dic3—21no—
416C3⋊Dic3—21no—
417C3⋊Dic3—41no—
418C3×Dic3—21no—
419C3×Dic3—21no—
420C3×Dic3—21no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3—41no—
424C3×Dic3#13512yes—
425C2×Q16—31no—
426C2×Q16—31no—
427C2×Q16—31no—
428C2×Q16D3211yescharacteristic
429C2×SD16—31no—
430C2×SD16—91no—
431C2×SD16—91no—
432C2×SD16—91no—
433C2×D8—91no—
434C4⋊Q8—31no—
435C4⋊Q8—31no—
436#126—181no—
437#126—181no—
438#126—181no—
439#126—181no—
440#124—31no—
441#124—91no—
442#124—91no—
443#124—91no—
444C22⋊Q8—181no—
445C22⋊Q8—181no—
446C4×Q8—31no—
447C4×Q8—91no—
448C4×Q8—91no—
449C4×Q8—91no—
450C4×Q8—91no—
451C4×D4—91no—
452C4×D4—91no—
453#117—181no—
454#117—181no—
455#107—91no—
456C4⋊C8—31no—
457C4⋊C8—91no—
458C4⋊C8—91no—
459#103—31no—
460#103—91no—
461#103—91no—
462#103—91no—
463#102—31no—
464#102—91no—
465C4×C8—31no—
466C4×C8—91no—
467C4×C8—91no—
468C23×C3—61no—
469C22×D3—21no—
470C22×D3—61no—
471C22×D3—61no—
472C22×D3—121no—
473C3×Q8—22no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—21no—
481C3×Q8—21no—
482C3×Q8—41no—
483C3×Q8—41no—
484C3×Q8—41no—
485C3×Q8—61no—
486C3×Q8—61no—
487C3×Q8—61no—
488C3×Q8—61no—
489C3×D4—61no—
490C3×D4—61no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—31no—
497C2×C3×C4—31no—
498C2×C3×C4—31no—
499C2×C3×C4—31no—
500C2×C3×C4—41no—
501C2×C3×C4—41no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4C23×D311yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—121no—
519C2×Dic3—122no—
520C2×Dic3D3×D411yescharacteristic
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523C2×Dic3D3×D411yescharacteristic
524D12—21no—
525D12—21no—
526D12—61no—
527D12—61no—
528D12—61no—
529D12—61no—
530D12—121no—
531D12—121no—
532C4×D3—122no—
533C4×D3—122no—
534C4×D3—122no—
535Dic6—21no—
536Dic6—21no—
537Dic6—21no—
538Dic6—21no—
539Dic6—62no—
540Dic6—62no—
541C3×C8—21no—
542C3×C8—21no—
543C3×C8—32no—
544C3×C8—41no—
545C3×C8—61no—
546C3⋊C8—21no—
547C3⋊C8—61no—
548C3⋊C8—61no—
549C3⋊C8—121no—
550C3⋊C8#23712yes—
551C2×C32#55011yescharacteristic
552C2×C32C2×#13511yescharacteristic
553C2×C32#57811yescharacteristic
554C3⋊D3—81no—
555C3×D3—81no—
556C2×Q8—31no—
557C2×Q8—31no—
558C2×Q8—91no—
559C2×Q8C2×D3211yescharacteristic
560C2×Q8C2×D3211yescharacteristic
561C2×D4—31no—
562C2×D4—91no—
563C22×C4—181no—
564C22×C4—181no—
565Q16—41no—
566Q16—62no—
567Q16—62no—
568Q16—121no—
569SD16—121no—
570SD16—361no—
571SD16—361no—
572SD16—361no—
573D8—182no—
574C2×C8—31no—
575C2×C8—31no—
576C2×C8—91no—
577C2×C8C2×D3211yescharacteristic
578C4⋊C4—31no—
579C4⋊C4—61no—
580C4⋊C4—61no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—91no—
585C4⋊C4—91no—
586C4⋊C4—91no—
587C4⋊C4—91no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C42—31no—
602C42—31no—
603C42—61no—
604C42—91no—
605C42—181no—
606C42—181no—
607C42—181no—
608C22×C3—21no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3C2×D3×D411yescharacteristic
613C22×C3C2×D3×D411yescharacteristic
614C2×D3—41no—
615C2×D3—41no—
616C2×D3—41no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—241no—
624C2×D3—241no—
625C2×D3—241no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—32no—
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—121no—
641C3×C4C2×#23711yescharacteristic
642C3×C4#100411yescharacteristic
643C3×C4#100411yescharacteristic
644C3×C4D3×#4111yescharacteristic
645Dic3—21no—
646Dic3—21no—
647Dic3—21no—
648Dic3—41no—
649Dic3—41no—
650Dic3—41no—
651Dic3—61no—
652Dic3—61no—
653Dic3—61no—
654Dic3—61no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—241no—
660Dic3#91912yes—
661C32#339311yescharacteristic, complemented, Sylow
662C23—61no—
663C23—181no—
664Q8—21no—
665Q8—21no—
666Q8—21no—
667Q8—21no—
668Q8—61no—
669Q8—61no—
670Q8—61no—
671Q8—61no—
672Q8—182no—
673D4—61no—
674D4—61no—
675D4—181no—
676D4—181no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—31no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—91no—
687C2×C4—91no—
688C2×C4—181no—
689C2×C4—362no—
690C2×C4—362no—
691C2×C4C22×D3211yescharacteristic
692C8—21no—
693C8—32no—
694C8—61no—
695C8—181no—
696C2×C3—21no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—241no—
700C2×C3#559911yescharacteristic
701C2×C3#571811yescharacteristic
702C2×C3C2×#91911yescharacteristic
703C2×C3#576611yescharacteristic
704C2×C3D3×#13511yescharacteristic
705C2×C3#577911yescharacteristic
706D3—81no—
707D3—241no—
708D3—241no—
709D3—481no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—361no—
714C22—361no—
715C22—361no—
716C22D32×D411yescharacteristic
717C4—32no—
718C4—41no—
719C4—41no—
720C4—61no—
721C4—61no—
722C4—61no—
723C4—121no—
724C4—121no—
725C4—121no—
726C4—181no—
727C4—181no—
728C4—361no—
729C4D3×#23711yescharacteristic
730C4#6433011yescharacteristic
731C3—21no—
732C3#8058811yescharacteristic, complemented
733C3#8179511yescharacteristic, complemented
734C2—241no—
735C2—721no—
736C2D3×#91911yescharacteristic
737C2#1059476611yescharacteristic
738C2#1059522711yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×Q16C22
socleC22×C32C22×D4
prime radicalC2×#3714C22
hypercenterC2×Q16D32
hypocenterC32#3393
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q16

Complements

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

NH ≅ G/Ntype
1. #10595387C2semidirect
2. #10595384C2semidirect
3. #10592884C2semidirect
4. C3×#5185C2semidirect
5. C3×#5183C2semidirect
8. #10591581C2semidirect
9. Dic3×#216C2semidirect
10. #10591565C2semidirect
11. #10591564C2semidirect
12. #10590801C2semidirect
13. #10590797C2semidirect
15. #10590644C2semidirect
74. #5185D3semidirect
75. #5183D3semidirect
661. C32#3393semidirect
732. C3#80588semidirect
733. C3#81795semidirect

Maximal subgroups

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

subgroupindex
#105953872
#105953842
#105928842
C3×#51852
C3×#51832
#105916102
#105916092
#105915812
Dic3×#2162
#105915652
#105915642
#105908012
#105907972
#105907452
#105906442
#817953
#805883