Finite Group Databasebeta

← #11872926

Subgroups — #11872926

Order 1152.

830 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595222C211yesmaximal, characteristic, complemented
2#10595124C211yesmaximal, characteristic, complemented
3#10592852C211yesmaximal, characteristic, complemented
4C3×#5158C211yesmaximal, characteristic
5C3×Dic3×D8C211yesmaximal, characteristic, complemented
6#10591494C211yesmaximal, characteristic, complemented
7#10591463C211yesmaximal, characteristic, complemented
8#10591443C211yesmaximal, characteristic, complemented
9#10591440C211yesmaximal, characteristic, complemented
10#10591413C211yesmaximal, characteristic, complemented
11#10591405C211yesmaximal, characteristic, complemented
12#10590817C211yesmaximal, characteristic, complemented
13#10590793C211yesmaximal, characteristic, complemented
14#10590696C211yesmaximal, characteristic, complemented
15#10590684C211yesmaximal, characteristic, complemented
16#80074—31nomaximal
17#79597—31nomaximal
18C2×C3×#237C2211yescharacteristic
19C2×C32×D8C2211yescharacteristic
20#64145C2211yescharacteristic
21D4×C3⋊Dic3C2211yescharacteristic
22C2×#3754C2211yescharacteristic
23C3×#938C2211yescharacteristic
24C3×D4×Dic3C2211yescharacteristic
25C3×D4×Dic3C2211yescharacteristic
26C2×C3×#214C2211yescharacteristic
27#67⋊Dic3—21no—
28Dic3×#67—21no—
29C2×Dic3⋊Dic3—21no—
30#63964—21no—
31#63961—21no—
32#63959—21no—
33#63956—21no—
34#63955—21no—
35#63919C2211yescharacteristic
36D3×C4⋊Dic3C2211yescharacteristic
37#63857C2211yescharacteristic
38#63855C2211yescharacteristic
39#63844C2211yescharacteristic
40#63843C2211yescharacteristic
41Dic3×Dic6C2211yescharacteristic
42C2×#3719C2211yescharacteristic
43#63659C2211yescharacteristic
44#63643C2211yescharacteristic
45#63641C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#832C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#818C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53#63576C2211yescharacteristic
54#63575C2211yescharacteristic
55#63575C2211yescharacteristic
56#63572C2211yescharacteristic
57#63567C2211yescharacteristic
58#63565C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63554C2211yescharacteristic
61#5827—31no—
62#5603—31no—
63#5561—31no—
64#5546—31no—
65C3×#449—31no—
66C3×C4×D8—31no—
67#5239—31no—
68#5166—31no—
69#5164—31no—
70#5158D311yescharacteristic
71#5153—31no—
72#5153—31no—
73#5153—61no—
74Dic3×D8D311yescharacteristic, complemented
75#5033—31no—
76#5018—31no—
77#5018—31no—
78#4884—31no—
79#4875—31no—
80#4793—31no—
81#4790—31no—
82#4783—31no—
83#4774—31no—
84#4767—31no—
85#4759—31no—
86#4759—31no—
87#4757—31no—
88#4722—31no—
89#4720—31no—
90C4×Dic12—31no—
91#4690—31no—
92C2×C32×D4C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C22×C3⋊Dic3—21no—
95C2×#634C2311yescharacteristic
96C2×C3×#67—21no—
97C2×C3×#67—21no—
98C22×C3×Dic3—21no—
99C22×C3×Dic3—21no—
100C22×C3×Dic3—21no—
101C3×#237—22no—
102C3×#237—22no—
103C2×C3×C4×D3C2311yescharacteristic
104C2×C3×Dic6C2311yescharacteristic
105C2×#627—21no—
106C2×D3×Dic3—21no—
107C32×D8—22no—
108C2×C32×C8C2311yescharacteristic
109#3757—21no—
110#3757—21no—
111#3757—21no—
112#3754—22no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4×C3⋊Dic3C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×#217—21no—
117C3×#217—21no—
118C3×#217—21no—
119C3×#214—22no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126#3724—21no—
127#3724—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3D411yescharacteristic
136(C2×D3)⋊Dic3D411yescharacteristic
137Dic32—21no—
138Dic32—21no—
139Dic32—21no—
140#3719—22no—
141#3124—91noSylow
142C2×C3×#41—31no—
143C2×#237C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×D8—21no—
146C2×C3×D8C2×D311yescharacteristic
147C2×C3×D8C2×D311yescharacteristic
148C3×#121—31no—
149C3×C4×D4—31no—
150C3×C4×D4—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153C2×#216—31no—
154#938C2×D311yescharacteristic
155#936—31no—
156#936—31no—
157#936—61no—
158#936—61no—
159#935—61no—
160D4×Dic3—31no—
161D4×Dic3—31no—
162D4×Dic3—61no—
163D4×Dic3—61no—
164D4×Dic3—61no—
165D4×Dic3C2×D311yescharacteristic
166D4×Dic3C2×D311yescharacteristic
167C2×#214—31no—
168C2×#214—31no—
169C2×#214—61no—
170C2×#214C2×D311yescharacteristic
171#929—61no—
172C4×#67—61no—
173#926—31no—
174#926—61no—
175C2×C4⋊Dic3—31no—
176C2×C4⋊Dic3—61no—
177#924—31no—
178#924—61no—
179C2×Dic3⋊C4—61no—
180C2×Dic12—31no—
181#897—31no—
182D3×C4⋊C4—31no—
183#888—31no—
184#888—31no—
185#887—31no—
186#887—31no—
187#885—61no—
188#67⋊C4—61no—
189#879—61no—
190#879—61no—
191#878—61no—
192#877—61no—
193#872—31no—
194C4×Dic6—31no—
195C4×Dic6—31no—
196C3×#107—31no—
197C3×#103—31no—
198C3×#102—31no—
199C3×#102—31no—
200C3×#102—31no—
201C3×C22⋊C8—31no—
202C3×C4×C8—31no—
203#835—31no—
204#832—31no—
205#832—31no—
206#832—61no—
207#832C2×D311yescharacteristic
208#832C2×D311yescharacteristic
209#832C2×D311yescharacteristic
210#830—31no—
211(C2×D3)⋊C8—31no—
212(C2×D3)⋊C8C2×D311yescharacteristic
213#818—31no—
214#818—31no—
215#818C2×D311yescharacteristic
216#816—31no—
217#816—31no—
218#816—31no—
219#816—61no—
220#816C2×D311yescharacteristic
221#815—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—61no—
227C8×Dic3C2×D311yescharacteristic
228#810—31no—
229#810—31no—
230#807—31no—
231#807—31no—
232#807—31no—
233#807—31no—
234#803—31no—
235C23×C32—21no—
236C23×C32—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×D4—21no—
239C32×D4—21no—
240C32×D4—21no—
241C32×D4#4112yes—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—81no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248#634—21no—
249#634—21no—
250C3×#67—24no—
251C3×#67—81no—
252C2×C3×Dic3—24no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—81no—
258C2×C3×Dic3—81no—
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C2×C3×Dic3C2×D411yescharacteristic
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#627—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—91no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—31no—
286#433—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—31no—
290C2×C3×D4—21no—
291C2×C3×D4—21no—
292C2×C3×D4—61no—
293C2×C3×D4—61no—
294C2×C3×D4C22×D311yescharacteristic
295C2×C3×D4C22×D311yescharacteristic
296C2×C3×D4C22×D311yescharacteristic
297C2×C3×D4C22×D311yescharacteristic
298C22×C3×C4—31no—
299C22×C3×C4—61no—
300C22×C3×C4—61no—
301C22×C3×C4—61no—
302C2×#67—21no—
303C2×#67—21no—
304C22×Dic3—21no—
305C22×Dic3—21no—
306C22×Dic3—21no—
307C22×Dic3—61no—
308C22×Dic3—61no—
309C22×Dic3—61no—
310C22×Dic3—121no—
311#237—22no—
312#237—22no—
313C2×C4×D3—61no—
314C2×C4×D3C22×D311yescharacteristic
315C2×Dic6—31no—
316C2×Dic6—31no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6C22×D311yescharacteristic
321C3×SD16—62no—
322C3×D8—22no—
323C3×D8—22no—
324C3×D8—42no—
325C2×C3×C8—21no—
326C2×C3×C8—31no—
327C2×C3×C8—31no—
328C2×C3×C8C22×D311yescharacteristic
329C2×C3×C8C22×D311yescharacteristic
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C42—31no—
337#217—21no—
338#217—21no—
339#217—21no—
340#217—31no—
341#217—31no—
342#217—61no—
343#217—61no—
344#217—61no—
345#217—61no—
346#217—61no—
347#217—61no—
348#217—61no—
349#217—121no—
350#217—121no—
351#217—121no—
352#216—62no—
353#214—22no—
354#214—62no—
355#214—62no—
356#214—122no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—31no—
359(C2×D3)⋊C4—61no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3C22×D311yescharacteristic
370C4⋊Dic3C22×D311yescharacteristic
371C4⋊Dic3C22×D311yescharacteristic
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3C22×D311yescharacteristic
392C2×C3⋊C8—31no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—61no—
395C2×C3⋊C8C22×D311yescharacteristic
396C2×C3⋊C8C22×D311yescharacteristic
397Dic12—62no—
398C22×C32—22no—
399C22×C32—41no—
400C22×C32—41no—
401C22×C32—41no—
402C22×C32—41no—
403C22×C32—41no—
404C22×C32C22×D411yescharacteristic
405C2×C3×D3—21no—
406C2×C3×D3—21no—
407C2×C3×D3—21no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—21no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—22no—
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—31no—
424C2×SD16—91no—
425C2×D8D3211yescharacteristic
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—91no—
435C4×Q8—91no—
436C4×Q8—91no—
437C4×D4—31no—
438C4×D4—31no—
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—91no—
454#103—91no—
455#103—91no—
456#102—31no—
457#102—31no—
458#102—31no—
459#102—91no—
460C22⋊C8—31no—
461C22⋊C8—91no—
462#97—91no—
463C4×C8—31no—
464C23×C3—21no—
465C23×C3—21no—
466C23×C3—21no—
467C23×C3—21no—
468C23×C3—31no—
469C23×C3—41no—
470C23×C3—41no—
471C22×D3D3×D411yescharacteristic
472C3×Q8—32no—
473C3×Q8—61no—
474C3×D4—21no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—21no—
478C3×D4—21no—
479C3×D4—21no—
480C3×D4—22no—
481C3×D4—41no—
482C3×D4—41no—
483C3×D4—41no—
484C3×D4—64no—
485C3×D4—241no—
486C3×D4#23512yes—
487C3×D4#23712yes—
488C2×C3×C4—21no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—64no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—241no—
500C2×C3×C4—241no—
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—24no—
504#67—81no—
505C2×Dic3—24no—
506C2×Dic3—21no—
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—61no—
519C2×Dic3—61no—
520C2×Dic3—81no—
521C2×Dic3—81no—
522C2×Dic3—121no—
523C2×Dic3—121no—
524C2×Dic3—241no—
525C2×Dic3—241no—
526C2×Dic3—241no—
527C2×Dic3—242no—
528C2×Dic3D3×D411yescharacteristic
529C2×Dic3D3×D411yescharacteristic
530C2×Dic3D3×D411yescharacteristic
531C4×D3—21no—
532C4×D3—21no—
533C4×D3—241no—
534Dic6—21no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—121no—
540Dic6—121no—
541Dic6—241no—
542Dic6—241no—
543Dic6#23712yes—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—41no—
547C3×C8—61no—
548C3×C8—61no—
549C3⋊C8—21no—
550C3⋊C8—21no—
551C3⋊C8—61no—
552C3⋊C8—61no—
553C3⋊C8—121no—
554C2×C32—42no—
555C2×C32—81no—
556C2×C32#52511yescharacteristic
557C2×C32#57611yescharacteristic
558C2×C32#57811yescharacteristic
559C3×D3—41no—
560#41—62no—
561#41—62no—
562C2×Q8—31no—
563C2×Q8—91no—
564C2×Q8—181no—
565C2×D4—61no—
566C2×D4—61no—
567C2×D4C2×D3211yescharacteristic
568C2×D4C2×D3211yescharacteristic
569C22×C4—31no—
570C22×C4—61no—
571C22×C4—61no—
572C22×C4—61no—
573C22×C4—181no—
574C22×C4—181no—
575Q16—182no—
576SD16—62no—
577SD16—182no—
578D8—22no—
579C2×C8—31no—
580C2×C8—31no—
581C2×C8—91no—
582C2×C8C2×D3211yescharacteristic
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—31no—
586C4⋊C4—91no—
587C4⋊C4—91no—
588C4⋊C4—91no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C22⋊C4—61no—
596C22⋊C4—61no—
597C22⋊C4—61no—
598C22⋊C4—91no—
599C22⋊C4—91no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C22⋊C4—181no—
603C22⋊C4—181no—
604C42—31no—
605C42—91no—
606C42—181no—
607C42—181no—
608C42—181no—
609C22×C3—22no—
610C22×C3—22no—
611C22×C3—21no—
612C22×C3—42no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—41no—
619C22×C3—41no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—41no—
623C22×C3—61no—
624C22×C3—61no—
625C22×C3—61no—
626C22×C3—81no—
627C22×C3—81no—
628C22×C3—81no—
629C22×C3—81no—
630C22×C3—81no—
631C22×C3C2×D3×D411yescharacteristic
632C22×C3C2×D3×D411yescharacteristic
633C2×D3—21no—
634C2×D3—21no—
635C2×D3—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—62no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4C2×#23511yescharacteristic
646C3×C4C2×#23711yescharacteristic
647C3×C4C2×#23711yescharacteristic
648C3×C4D3×#4111yescharacteristic
649Dic3—21no—
650Dic3—21no—
651Dic3—22no—
652Dic3—21no—
653Dic3—41no—
654Dic3—41no—
655Dic3—41no—
656Dic3—61no—
657Dic3—61no—
658Dic3—61no—
659Dic3—61no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—121no—
665Dic3—121no—
666Dic3—241no—
667Dic3—241no—
668C32#312411yescharacteristic, complemented, Sylow
669C23—21no—
670C23—21no—
671C23—31no—
672Q8—32no—
673Q8—61no—
674Q8—181no—
675Q8—181no—
676Q8—721no—
677D4—21no—
678D4—21no—
679D4—21no—
680D4—64no—
681D4—241no—
682D4#380412yes—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—64no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—91no—
694C2×C4—91no—
695C2×C4—181no—
696C2×C4—181no—
697C2×C4—241no—
698C2×C4—241no—
699C2×C4—721no—
700C2×C4—721no—
701C2×C4C22×D3211yescharacteristic
702C8—21no—
703C8—61no—
704C8—61no—
705C8—181no—
706C2×C3—21no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—42no—
710C2×C3—42no—
711C2×C3—82no—
712C2×C3—81no—
713C2×C3—81no—
714C2×C3—121no—
715C2×C3—161no—
716C2×C3#554711yescharacteristic
717C2×C3#558611yescharacteristic
718C2×C3#575711yescharacteristic
719C2×C3#577111yescharacteristic
720C2×C3#577111yescharacteristic
721C2×C3#577411yescharacteristic
722D3—41no—
723C22—22no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—61no—
730C22—61no—
731C22—61no—
732C22D32×D411yescharacteristic
733C4—61no—
734C4—62no—
735C4—61no—
736C4—61no—
737C4—121no—
738C4—121no—
739C4—121no—
740C4—181no—
741C4—181no—
742C4—361no—
743C4—361no—
744C4D3×#23711yescharacteristic
745C4C2×#380411yescharacteristic
746C3—21no—
747C3#7959711yescharacteristic, complemented
748C3#8007411yescharacteristic, complemented
749C2—42no—
750C2—81no—
751C2—121no—
752C2#1059473211yescharacteristic
753C2#1059473711yescharacteristic
754C2#1059512911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×D8C22
socleC22×C32C22×D4
prime radicalC3×#5158C2
hypercenterC2×D8D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×D8

Complements

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

NH ≅ G/Ntype
1. #10595222C2semidirect
2. #10595124C2semidirect
3. #10592852C2semidirect
5. C3×Dic3×D8C2semidirect
6. #10591494C2semidirect
7. #10591463C2semidirect
8. #10591443C2semidirect
9. #10591440C2semidirect
10. #10591413C2semidirect
11. #10591405C2semidirect
12. #10590817C2semidirect
13. #10590793C2semidirect
14. #10590696C2semidirect
15. #10590684C2semidirect
74. Dic3×D8D3semidirect
668. C32#3124semidirect
747. C3#79597semidirect
748. C3#80074semidirect

Maximal subgroups

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

subgroupindex
#105952222
#105951242
#105928522
C3×#51582
C3×Dic3×D82
#105914942
#105914632
#105914432
#105914402
#105914132
#105914052
#105908172
#105907932
#105906962
#105906842
#800743
#795973