Finite Group Databasebeta

← #11872965

Subgroups — #11872965

Order 1152.

824 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595394C211yesmaximal, characteristic, complemented
2#10595124C211yesmaximal, characteristic, complemented
3#10592865C211yesmaximal, characteristic, complemented
4C3×#5172C211yesmaximal, characteristic
5C3×#5164C211yesmaximal, characteristic, complemented
6#10591631C211yesmaximal, characteristic, complemented
7#10591599C211yesmaximal, characteristic, complemented
8#10591537C211yesmaximal, characteristic, complemented
9#10591434C211yesmaximal, characteristic, complemented
10Dic3×#213C211yesmaximal, characteristic, complemented
11#10591413C211yesmaximal, characteristic, complemented
12#10590778C211yesmaximal, characteristic, complemented
13#10590747C211yesmaximal, characteristic, complemented
14#10590697C211yesmaximal, characteristic, complemented
15#10590684C211yesmaximal, characteristic, complemented
16#80074—31nomaximal
17#79813—31nomaximal
18C2×C3×#239C2211yescharacteristic
19C2×C32×SD16C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21C2×#3756C2211yescharacteristic
22#64145C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C3×#938C2211yescharacteristic
25C3×D4×Dic3C2211yescharacteristic
26C2×C3×#213C2211yescharacteristic
27#63964—21no—
28#63961—21no—
29#63959—21no—
30#63956—21no—
31#63919C2211yescharacteristic
32#63898—21no—
33#63898C2211yescharacteristic
34Dic3×D12—21no—
35Dic3×D12C2211yescharacteristic
36D3×C4⋊Dic3—21no—
37D3×C4⋊Dic3C2211yescharacteristic
38#63857C2211yescharacteristic
39#63855—21no—
40#63855C2211yescharacteristic
41#63844C2211yescharacteristic
42C2×#3716C2211yescharacteristic
43#63659C2211yescharacteristic
44#63643C2211yescharacteristic
45#63641C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#832C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#818C2211yescharacteristic
52C3×#815C2211yescharacteristic
53#63576C2211yescharacteristic
54#63575C2211yescharacteristic
55#63575C2211yescharacteristic
56#63572C2211yescharacteristic
57#63567C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5827—31no—
62#5603—31no—
63#5574—31no—
64#5561—31no—
65C3×#449—31no—
66C3×#440—31no—
67#5239—31no—
68#5172D311yescharacteristic
69#5166—31no—
70#5166—31no—
71#5166—61no—
72#5164D311yescharacteristic, complemented
73#5153—31no—
74Dic3×D8—31no—
75#5033—31no—
76C4×#216—31no—
77C4×#213—31no—
78#4890—31no—
79#4884—31no—
80#4808—31no—
81#4793—31no—
82#4793—31no—
83#4790—31no—
84#4787—31no—
85#4774—31no—
86#4759—31no—
87#4757—31no—
88#4722—31no—
89#4720—31no—
90#4710—31no—
91#4709—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×#67—21no—
96C22×C3×Dic3—21no—
97C3×#239—22no—
98C3×#239—22no—
99C2×C3×D12—21no—
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3C2311yescharacteristic
103C2×#627—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C32×SD16—22no—
108C2×C32×C8C2311yescharacteristic
109#3757—21no—
110#3757—21no—
111#3756—22no—
112C4⋊(C3⋊Dic3)—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#217—21no—
118C3×#217—21no—
119C3×#213—22no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128#3724—21no—
129#3724—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140#3716—22no—
141#3124—91noSylow
142C2×C3×#41—31no—
143C2×#239C2×D311yescharacteristic
144C2×C3×SD16—21no—
145C2×C3×SD16C2×D311yescharacteristic
146C2×C3×SD16C2×D311yescharacteristic
147C2×C3×D8—31no—
148C3×#121—31no—
149C3×C4×Q8—31no—
150C3×C4×D4—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153Q8×Dic3—61no—
154Q8×Dic3C2×D311yescharacteristic
155C2×#216—31no—
156C2×#216—31no—
157C2×#216—61no—
158#938C2×D311yescharacteristic
159#936—31no—
160#936—31no—
161#936—61no—
162#936—61no—
163#935—61no—
164D4×Dic3—31no—
165D4×Dic3—31no—
166D4×Dic3—61no—
167D4×Dic3—61no—
168D4×Dic3C2×D311yescharacteristic
169C2×#214—31no—
170C2×#213C2×D311yescharacteristic
171#929—61no—
172#926—31no—
173#926—61no—
174C2×C4⋊Dic3—31no—
175C2×C4⋊Dic3—61no—
176#924—31no—
177#924—61no—
178C2×#204—31no—
179#897—31no—
180#893—31no—
181#893—61no—
182D3×C4⋊C4—31no—
183D3×C4⋊C4—61no—
184#888—31no—
185#888—31no—
186#887—31no—
187#885—61no—
188#879—61no—
189#879—61no—
190#878—61no—
191C4×D12—31no—
192C4×D12—61no—
193#872—31no—
194#872—61no—
195C4×Dic6—31no—
196C3×#107—31no—
197C3×#103—31no—
198C3×#103—31no—
199C3×#102—31no—
200C3×#102—31no—
201C3×C22⋊C8—31no—
202C3×#97—31no—
203#835C2×D311yescharacteristic
204#835C2×D311yescharacteristic
205#832—31no—
206#832—31no—
207#832—31no—
208#832—61no—
209#832C2×D311yescharacteristic
210#830—31no—
211#821C2×D311yescharacteristic
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8C2×D311yescharacteristic
214#818—31no—
215#818—31no—
216#818C2×D311yescharacteristic
217#816—31no—
218#816—31no—
219#816—31no—
220#816—61no—
221#815C2×D311yescharacteristic
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—61no—
227C8×Dic3—31no—
228#810—31no—
229#809—31no—
230#807—31no—
231#807—31no—
232#807—31no—
233#807—31no—
234C4×C3⋊C8—31no—
235C23×C32—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8#4112yes—
240C32×D4—21no—
241C32×D4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248#634—21no—
249#634—21no—
250C3×#67—81no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—81no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C3×D12—24no—
259C3×D12—21no—
260C3×D12#4112yes—
261C3×C4×D3—24no—
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264#627—81no—
265D3×Dic3—81no—
266D3×Dic3—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#542—91no—
273#520—91no—
274#484—91no—
275#480—91no—
276#477—91no—
277#474—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—31no—
282#440—31no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—91no—
286#433—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—21no—
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×D4—21no—
293C2×C3×D4—31no—
294C2×C3×D4—61no—
295C2×C3×D4—61no—
296C2×C3×D4C22×D311yescharacteristic
297C2×C3×D4C22×D311yescharacteristic
298C22×C3×C4—31no—
299C22×C3×C4—61no—
300C22×C3×C4—61no—
301C2×#67—21no—
302C22×Dic3—21no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306#239—22no—
307#239—22no—
308C2×D12—21no—
309C2×D12C22×D311yescharacteristic
310C2×C4×D3—21no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3C22×D311yescharacteristic
315C2×Dic6—31no—
316C2×Dic6—31no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C3×SD16—22no—
321C3×SD16—22no—
322C3×SD16—42no—
323C3×D8—62no—
324C2×C3×C8—21no—
325C2×C3×C8—31no—
326C2×C3×C8—31no—
327C2×C3×C8C22×D311yescharacteristic
328C2×C3×C8C22×D311yescharacteristic
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C42—31no—
336C3×C42—61no—
337#217—21no—
338#217—21no—
339#217—31no—
340#217—31no—
341#217—61no—
342#217—61no—
343#217—61no—
344#217—61no—
345#217—61no—
346#217—61no—
347#217—61no—
348#217—121no—
349#217—121no—
350#216—62no—
351#216—62no—
352#216—122no—
353#214—62no—
354#213—22no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—31no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360C4⋊Dic3—21no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—121no—
371C4⋊Dic3C22×D311yescharacteristic
372C4⋊Dic3C22×D311yescharacteristic
373C4⋊Dic3C22×D311yescharacteristic
374Dic3⋊C4—31no—
375Dic3⋊C4—31no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382C4×Dic3—21no—
383C4×Dic3—31no—
384C4×Dic3—31no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—121no—
391C4×Dic3C22×D311yescharacteristic
392C2×C3⋊C8—31no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—61no—
395C2×C3⋊C8C22×D311yescharacteristic
396C2×C3⋊C8C22×D311yescharacteristic
397#204—62no—
398C22×C32—41no—
399C22×C32—41no—
400C22×C32—41no—
401C22×C32C22×D411yescharacteristic
402C2×C3×D3—21no—
403C2×C3×D3—22no—
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C32×C4—22no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—41no—
414C3⋊Dic3—41no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C3×Dic3—41no—
421C2×#41—31no—
422C2×Q16—91no—
423C2×SD16—91no—
424C2×SD16D3211yescharacteristic
425C2×D8—31no—
426C4⋊Q8—91no—
427#126—181no—
428#124—91no—
429#124—181no—
430#123—181no—
431C22⋊Q8—91no—
432C22⋊Q8—181no—
433#121—31no—
434C4×Q8—31no—
435C4×Q8—91no—
436C4×Q8—91no—
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—181no—
441C4×D4—181no—
442#117—91no—
443#117—181no—
444C2×C4⋊C4—91no—
445C2×C4⋊C4—181no—
446#107—31no—
447#107—91no—
448#107—91no—
449#107—91no—
450C4⋊C8—91no—
451C4⋊C8—91no—
452#103—31no—
453#103—31no—
454#103—91no—
455#103—91no—
456#102—31no—
457#102—31no—
458#102—91no—
459#102—91no—
460C22⋊C8—31no—
461C22⋊C8—91no—
462#97—31no—
463C4×C8—91no—
464C23×C3—21no—
465C23×C3—21no—
466C23×C3—31no—
467C23×C3—41no—
468C23×C3—61no—
469C22×D3—21no—
470C22×D3D3×D411yescharacteristic
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—22no—
474C3×Q8—41no—
475C3×Q8#23512yes—
476C3×Q8#23712yes—
477C3×D4—21no—
478C3×D4—21no—
479C3×D4—21no—
480C3×D4—21no—
481C3×D4—32no—
482C3×D4—41no—
483C3×D4—41no—
484C3×D4—64no—
485C3×D4—61no—
486C3×D4—241no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—41no—
494C2×C3×C4—64no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—241no—
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—81no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—31no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—81no—
518C2×Dic3—121no—
519C2×Dic3—121no—
520C2×Dic3—241no—
521C2×Dic3—241no—
522C2×Dic3—241no—
523C2×Dic3D3×D411yescharacteristic
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526D12—24no—
527D12—21no—
528D12#23712yes—
529C4×D3—24no—
530C4×D3—21no—
531C4×D3—21no—
532C4×D3—241no—
533C4×D3—241no—
534C4×D3—241no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—121no—
540Dic6—121no—
541Dic6—241no—
542Dic6—241no—
543C3×C8—21no—
544C3×C8—21no—
545C3×C8—41no—
546C3×C8—61no—
547C3×C8—61no—
548C3⋊C8—21no—
549C3⋊C8—21no—
550C3⋊C8—61no—
551C3⋊C8—61no—
552C3⋊C8—121no—
553C2×C32—81no—
554C2×C32#52511yescharacteristic
555C2×C32#57611yescharacteristic
556C2×C32#57811yescharacteristic
557C3×D3—41no—
558C3×D3—42no—
559#41—62no—
560#41—62no—
561C2×Q8—91no—
562C2×Q8—181no—
563C2×Q8C2×D3211yescharacteristic
564C2×D4—31no—
565C2×D4—61no—
566C2×D4—61no—
567C2×D4C2×D3211yescharacteristic
568C22×C4—31no—
569C22×C4—61no—
570C22×C4—61no—
571C22×C4—181no—
572C22×C4—181no—
573C22×C4—181no—
574Q16—182no—
575SD16—22no—
576SD16—182no—
577D8—62no—
578C2×C8—31no—
579C2×C8—31no—
580C2×C8—91no—
581C2×C8C2×D3211yescharacteristic
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—61no—
586C4⋊C4—91no—
587C4⋊C4—91no—
588C4⋊C4—91no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C22⋊C4—61no—
595C22⋊C4—61no—
596C22⋊C4—91no—
597C22⋊C4—91no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C22⋊C4—181no—
603C42—31no—
604C42—61no—
605C42—91no—
606C42—181no—
607C42—181no—
608C22×C3—21no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—62no—
618C22×C3—61no—
619C22×C3—81no—
620C22×C3—81no—
621C22×C3—81no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3C2×D3×D411yescharacteristic
625C22×C3C2×D3×D411yescharacteristic
626C2×D3—21no—
627C2×D3—21no—
628C2×D3—21no—
629C2×D3—22no—
630C2×D3—41no—
631C2×D3—41no—
632C3×C4—22no—
633C3×C4—22no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—42no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4C2×#23511yescharacteristic
644C3×C4C2×#23711yescharacteristic
645C3×C4C2×#23711yescharacteristic
646C3×C4D3×#4111yescharacteristic
647Dic3—21no—
648Dic3—21no—
649Dic3—21no—
650Dic3—41no—
651Dic3—41no—
652Dic3—41no—
653Dic3—61no—
654Dic3—61no—
655Dic3—61no—
656Dic3—61no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—241no—
664Dic3—241no—
665C32#312411yescharacteristic, complemented, Sylow
666C23—21no—
667C23—31no—
668C23—61no—
669Q8—21no—
670Q8—181no—
671Q8—181no—
672Q8—721no—
673Q8#380412yes—
674D4—21no—
675D4—21no—
676D4—32no—
677D4—64no—
678D4—61no—
679D4—241no—
680C2×C4—21no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—64no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—91no—
691C2×C4—91no—
692C2×C4—181no—
693C2×C4—181no—
694C2×C4—241no—
695C2×C4—721no—
696C2×C4—721no—
697C2×C4—721no—
698C2×C4C22×D3211yescharacteristic
699C8—21no—
700C8—61no—
701C8—61no—
702C8—181no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—81no—
707C2×C3—81no—
708C2×C3—121no—
709C2×C3—122no—
710C2×C3—161no—
711C2×C3#554711yescharacteristic
712C2×C3#558611yescharacteristic
713C2×C3#577111yescharacteristic
714C2×C3#577411yescharacteristic
715C2×C3#577411yescharacteristic
716C2×C3#577911yescharacteristic
717D3—41no—
718D3—42no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—62no—
723C22—61no—
724C22—61no—
725C22—61no—
726C22—121no—
727C22—121no—
728C22D32×D411yescharacteristic
729C4—22no—
730C4—61no—
731C4—61no—
732C4—61no—
733C4—121no—
734C4—121no—
735C4—121no—
736C4—181no—
737C4—181no—
738C4—361no—
739C4—361no—
740C4D3×#23711yescharacteristic
741C4C2×#380411yescharacteristic
742C3—21no—
743C3#7981311yescharacteristic, complemented
744C3#8007411yescharacteristic, complemented
745C2—81no—
746C2—121no—
747C2—122no—
748C2#1059475011yescharacteristic
749C2#1059475611yescharacteristic
750C2#1059512911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×SD16C22
socleC22×C32C22×D4
prime radicalC3×#5172C2
hypercenterC2×SD16D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×SD16

Complements

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

NH ≅ G/Ntype
1. #10595394C2semidirect
2. #10595124C2semidirect
3. #10592865C2semidirect
5. C3×#5164C2semidirect
6. #10591631C2semidirect
7. #10591599C2semidirect
8. #10591537C2semidirect
9. #10591434C2semidirect
10. Dic3×#213C2semidirect
11. #10591413C2semidirect
12. #10590778C2semidirect
13. #10590747C2semidirect
14. #10590697C2semidirect
15. #10590684C2semidirect
72. #5164D3semidirect
665. C32#3124semidirect
743. C3#79813semidirect
744. C3#80074semidirect

Maximal subgroups

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

subgroupindex
#105953942
#105951242
#105928652
C3×#51722
C3×#51642
#105916312
#105915992
#105915372
#105914342
Dic3×#2132
#105914132
#105907782
#105907472
#105906972
#105906842
#800743
#798133