Finite Group Databasebeta

← #11873485

Subgroups — #11873485

Order 1152.

848 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#10595152C211yesmaximal, characteristic
2#10594445C211yesmaximal, characteristic, complemented
3#10592467C211yesmaximal, characteristic, complemented
4C3×#4772C211yesmaximal, characteristic, complemented
5C3×#4760C211yesmaximal, characteristic, complemented
6#10591487C211yesmaximal, characteristic, complemented
7#10591420C211yesmaximal, characteristic, complemented
8#10591403C211yesmaximal, characteristic, complemented
9#10590954C211yesmaximal, characteristic, complemented
10#10590890C211yesmaximal, characteristic, complemented
11#10590868C211yesmaximal, characteristic, complemented
12D3×C8×Dic3C211yesmaximal, characteristic, complemented
13#10590608C211yesmaximal, characteristic, complemented
14#10590560C211yesmaximal, characteristic, complemented
15#10590539C211yesmaximal, characteristic, complemented
16#81562—31nomaximal
17#78825—31nomaximal
18C2×C3×#237C2211yescharacteristic
19C2×#3795C2211yescharacteristic
20#64145C2211yescharacteristic
21#64099C2211yescharacteristic
22C3×#940C2211yescharacteristic
23C2×C3×D3×C8C2211yescharacteristic
24C3×#892C2211yescharacteristic
25C3×#888C2211yescharacteristic
26Dic3×#67—21no—
27Dic3×#67—21no—
28#63970—21no—
29#63970—21no—
30#63918C2211yescharacteristic
31#63893—21no—
32#63887—21no—
33C4×D3×Dic3C2211yescharacteristic
34#63872C2211yescharacteristic
35#63866C2211yescharacteristic
36#63863C2211yescharacteristic
37Dic3×Dic6—21no—
38#63841C2211yescharacteristic
39#63837—21no—
40C2×D3×C3⋊C8C2211yescharacteristic
41C32×#102C2211yescharacteristic
42#63659C2211yescharacteristic
43#63643C2211yescharacteristic
44C8×C3⋊Dic3C2211yescharacteristic
45#63637C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#809C2211yescharacteristic
53#63567C2211yescharacteristic
54#63567C2211yescharacteristic
55#63566C2211yescharacteristic
56#63565C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63553C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5832—31no—
62#5728—31no—
63#5716—31no—
64#5517—31no—
65C3×#486—31no—
66C3×#416—31no—
67#5233—31no—
68#5113—31no—
69C2×C8×Dic3—31no—
70#5093—31no—
71#5070—31no—
72#5002—31no—
73#4800—31no—
74#4800—31no—
75#4792—31no—
76#4792—31no—
77#4772—31no—
78#4772—31no—
79#4772—31no—
80#4772D311yescharacteristic, complemented
81#4768—31no—
82#4768—31no—
83#4768—31no—
84#4768—31no—
85#4768—31no—
86#4768—31no—
87#4768—61no—
88#4760—31no—
89#4760D311yescharacteristic, complemented
90C4×D3×C8—31no—
91#4681—31no—
92C2×C32×D4C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×#67—21no—
95C2×C3×#67—21no—
96C2×C3×#67—21no—
97C22×C3×Dic3—21no—
98C3×#237—22no—
99C3×#237—22no—
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6—21no—
103C2×C3×Dic6C2311yescharacteristic
104C2×#627—21no—
105C2×#625—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3D411yescharacteristic
108C2×D3×Dic3D411yescharacteristic
109#3795—22no—
110#3795—22no—
111C2×C32×C8C2311yescharacteristic
112C32×C4⋊C4C2311yescharacteristic
113#3757—21no—
114#3757—21no—
115C4⋊(C3⋊Dic3)—21no—
116C4⋊(C3⋊Dic3)C2311yescharacteristic
117#3750—21no—
118C4×C3⋊Dic3C2311yescharacteristic
119C2×C3⋊(C3⋊C8)C2311yescharacteristic
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×D3×C8—22no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
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—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140D3×C3⋊C8—22no—
141#3131—91noSylow
142C2×C3×#41—31no—
143C2×#237—31no—
144C2×#237C2×D311yescharacteristic
145C2×#235—31no—
146C22×C3×C8—31no—
147C3×C4⋊Q8—31no—
148C3×#127—31no—
149C3×#117—31no—
150#947—31no—
151#946—61no—
152Q8×Dic3—61no—
153#944—31no—
154#940C2×D311yescharacteristic
155#939—61no—
156#939—61no—
157#938—61no—
158#938—61no—
159#936—31no—
160#936—31no—
161#936—31no—
162#936—61no—
163D4×Dic3—61no—
164D4×Dic3—61no—
165C4×#67—61no—
166C4×#67—61no—
167#926—31no—
168C2×C4×Dic3—31no—
169C22×C3⋊C8—31no—
170C2×D3×C8—31no—
171C2×D3×C8C2×D311yescharacteristic
172#897—61no—
173#892—31no—
174#892C2×D311yescharacteristic
175#890—31no—
176#890—31no—
177#890—31no—
178#890—31no—
179#890—61no—
180#888—31no—
181#888C2×D311yescharacteristic
182#887—61no—
183#878—61no—
184#878—61no—
185C42×D3—31no—
186#869—31no—
187#869—31no—
188C4×Dic6—61no—
189C4×Dic6—61no—
190C3×#103—31no—
191C3×#103—31no—
192C3×#102—21no—
193C3×#102—31no—
194C3×#102—31no—
195C3×#102—31no—
196C3×#102—31no—
197C3×#102C2×D311yescharacteristic
198C3×#102C2×D311yescharacteristic
199C3×C4×C8—31no—
200#835—31no—
201#835—31no—
202#832—31no—
203#832—31no—
204#832—31no—
205#832—31no—
206#832—61no—
207#832C2×D311yescharacteristic
208#832C2×D311yescharacteristic
209#821—31no—
210#821C2×D311yescharacteristic
211#816—31no—
212#816—31no—
213#816—31no—
214#816—31no—
215#816—31no—
216#816—61no—
217#816C2×D311yescharacteristic
218C8×Dic3—31no—
219C8×Dic3—31no—
220C8×Dic3—31no—
221C8×Dic3—31no—
222C8×Dic3—31no—
223C8×Dic3—61no—
224C8×Dic3C2×D311yescharacteristic
225#810—31no—
226#810—31no—
227#810—31no—
228#810—31no—
229#810—31no—
230#810—61no—
231#810C2×D311yescharacteristic
232#809—31no—
233#809C2×D311yescharacteristic
234C4×C3⋊C8—31no—
235C23×C32—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×D4—21no—
239C32×D4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3C2×D411yescharacteristic
245C2×C3⋊Dic3C2×D411yescharacteristic
246#634—21no—
247#634—21no—
248C3×#67—42no—
249C3×#67—42no—
250C3×#67—42no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—42no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C3×D12—21no—
259C3×D12—21no—
260C3×C4×D3#4112yes—
261C3×C4×D3#4112yes—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—42no—
265#627—42no—
266#625—42no—
267D3×Dic3—22no—
268D3×Dic3—22no—
269D3×Dic3—42no—
270C32×C8—21no—
271C3⋊(C3⋊C8)—21no—
272C3×C3⋊C8—21no—
273C3×C3⋊C8—21no—
274#533—91no—
275#532—91no—
276#488—91no—
277#488—91no—
278#488—91no—
279#488—91no—
280#487—91no—
281#487—91no—
282#486—31no—
283#486—91no—
284#416—31no—
285#416—91no—
286#416—91no—
287#416—91no—
288C2×C4×C8—91no—
289C3×#41—62no—
290C3×#41—62no—
291C2×C3×Q8—31no—
292C2×C3×Q8—61no—
293C2×C3×D4—21no—
294C2×C3×D4—31no—
295C2×C3×D4—61no—
296C2×C3×D4—61no—
297C2×C3×D4—61no—
298C2×C3×D4C22×D311yescharacteristic
299C2×C3×D4C22×D311yescharacteristic
300C22×C3×C4—31no—
301C22×C3×C4—61no—
302C2×#67—21no—
303C2×#67—21no—
304C2×#67—21no—
305C2×#67—61no—
306C2×#67—61no—
307C22×Dic3—21no—
308C22×Dic3—31no—
309C22×Dic3—31no—
310C22×Dic3—61no—
311#237—22no—
312#237—22no—
313#237—62no—
314#237—62no—
315#235—62no—
316#235—62no—
317C2×D12C22×D311yescharacteristic
318C2×C4×D3—31no—
319C2×C4×D3—31no—
320C2×C4×D3—61no—
321C2×C4×D3C22×D311yescharacteristic
322C2×Dic6—21no—
323C2×Dic6—31no—
324C2×Dic6—31no—
325C2×Dic6—61no—
326C2×Dic6—61no—
327C2×Dic6—61no—
328C2×Dic6C22×D311yescharacteristic
329C2×C3×C8—21no—
330C2×C3×C8—31no—
331C2×C3×C8—31no—
332C2×C3×C8—62no—
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C3×C4⋊C4—21no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C22⋊C4—61no—
342C3×C42—31no—
343C3×C42—61no—
344#217—61no—
345#217—61no—
346#217—61no—
347#217—61no—
348#217—61no—
349#217—61no—
350#217—61no—
351#217—121no—
352#217—121no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—121no—
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—121no—
379C4×Dic3—21no—
380C4×Dic3—31no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—31no—
385C4×Dic3—31no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8—62no—
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396D3×C8—22no—
397D3×C8—62no—
398C22×C32—41no—
399C22×C32—41no—
400C22×C32—41no—
401C22×C32C22×D411yescharacteristic
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3#12412yes—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—41no—
414C3⋊Dic3—41no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C3×Dic3#12412yes—
419C3×Dic3#13512yes—
420C3×Dic3#13512yes—
421C2×#41—31no—
422C2×#41—91no—
423C22×C8—31no—
424C22×C8—91no—
425C4⋊Q8—31no—
426C4⋊Q8—91no—
427C4⋊Q8—91no—
428#127—31no—
429#125—91no—
430#125—91no—
431#124—91no—
432#124—91no—
433C22⋊Q8—181no—
434C22⋊Q8—181no—
435#121—181no—
436#121—181no—
437C4×Q8—181no—
438C4×Q8—181no—
439C4×D4—181no—
440C4×D4—181no—
441#117—31no—
442#117—91no—
443C2×C42—91no—
444#103—31no—
445#103—31no—
446#103—91no—
447#103—91no—
448#103—91no—
449#103—91no—
450#103—91no—
451#103—91no—
452#102—31no—
453#102—31no—
454#102—31no—
455#102—31no—
456#102—91no—
457#102—91no—
458#102—91no—
459#102D3211yescharacteristic
460C4×C8—31no—
461C4×C8—91no—
462C4×C8—91no—
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—61no—
472C3×Q8—61no—
473C3×Q8—122no—
474C3×D4—21no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—21no—
478C3×D4—41no—
479C3×D4—41no—
480C3×D4—61no—
481C3×D4—61no—
482C3×D4—122no—
483C3×D4—122no—
484C3×D4—122no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—32no—
492C2×C3×C4—32no—
493C2×C3×C4—41no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—122no—
498C2×C3×C4C23×D311yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500#67—42no—
501#67—42no—
502#67—42no—
503#67—122no—
504#67—122no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—42no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—62no—
516C2×Dic3—62no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—121no—
522C2×Dic3—121no—
523C2×Dic3—122no—
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526C2×Dic3D3×D411yescharacteristic
527D12—21no—
528D12—21no—
529C4×D3—62no—
530C4×D3—62no—
531C4×D3—122no—
532C4×D3#23512yes—
533C4×D3#23712yes—
534Dic6—21no—
535Dic6—21no—
536Dic6—42no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—61no—
541Dic6—121no—
542Dic6—121no—
543Dic6—122no—
544Dic6—122no—
545C3×C8—21no—
546C3×C8—21no—
547C3×C8—41no—
548C3×C8—61no—
549C3×C8—61no—
550C3⋊C8—21no—
551C3⋊C8—21no—
552C3⋊C8—61no—
553C3⋊C8—61no—
554C3⋊C8—121no—
555C2×C32—81no—
556C2×C32C2×#12411yescharacteristic
557C2×C32C2×#13511yescharacteristic
558C2×C32C2×#13511yescharacteristic
559C3×D3—22no—
560C3×D3—81no—
561#41—62no—
562#41—62no—
563#41—182no—
564#41—182no—
565C2×Q8—31no—
566C2×Q8—61no—
567C2×Q8—91no—
568C2×Q8—181no—
569C2×D4—31no—
570C2×D4—61no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4—181no—
574C2×D4C2×D3211yescharacteristic
575C22×C4—31no—
576C22×C4—61no—
577C22×C4—91no—
578C22×C4—91no—
579C22×C4—181no—
580C2×C8—31no—
581C2×C8—31no—
582C2×C8—62no—
583C2×C8—91no—
584C2×C8—182no—
585C2×C8C2×D3211yescharacteristic
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—61no—
589C4⋊C4—91no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4C2×D3211yescharacteristic
598C22⋊C4—61no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C22⋊C4—181no—
603C22⋊C4—181no—
604C42—31no—
605C42—61no—
606C42—91no—
607C42—91no—
608C42—91no—
609C42—181no—
610C22×C3—21no—
611C22×C3—32no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—61no—
619C22×C3—61no—
620C22×C3—81no—
621C22×C3—81no—
622C22×C3—81no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3C2×D3×D411yescharacteristic
627C22×C3C2×D3×D411yescharacteristic
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3#88512yes—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—32no—
637C3×C4—32no—
638C3×C4—32no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—81no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4C2×#23511yescharacteristic
646C3×C4C2×#23711yescharacteristic
647C3×C4D3×#4111yescharacteristic
648C3×C4D3×#4111yescharacteristic
649Dic3—41no—
650Dic3—41no—
651Dic3—41no—
652Dic3—61no—
653Dic3—61no—
654Dic3—61no—
655Dic3—61no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—241no—
663Dic3—241no—
664Dic3#88512yes—
665Dic3#91212yes—
666Dic3#91612yes—
667C32#313111yescharacteristic, complemented, Sylow
668C23—21no—
669C23—31no—
670C23—61no—
671Q8—61no—
672Q8—61no—
673Q8—122no—
674Q8—181no—
675Q8—181no—
676Q8—362no—
677D4—21no—
678D4—21no—
679D4—61no—
680D4—61no—
681D4—122no—
682D4—122no—
683D4—122no—
684D4—362no—
685C2×C4—21no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—31no—
689C2×C4—32no—
690C2×C4—32no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—91no—
695C2×C4—91no—
696C2×C4—122no—
697C2×C4—182no—
698C2×C4—182no—
699C2×C4—181no—
700C2×C4—181no—
701C2×C4—362no—
702C2×C4C22×D3211yescharacteristic
703C8—21no—
704C8—61no—
705C8—61no—
706C8—181no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—62no—
711C2×C3—81no—
712C2×C3—81no—
713C2×C3—161no—
714C2×C3—241no—
715C2×C3C2×#88511yescharacteristic
716C2×C3D3×#12411yescharacteristic
717C2×C3C2×#91211yescharacteristic
718C2×C3C2×#91611yescharacteristic
719C2×C3D3×#13511yescharacteristic
720C2×C3D3×#13511yescharacteristic
721D3—22no—
722D3—81no—
723C22—32no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—61no—
728C22—61no—
729C22—121no—
730C22—121no—
731C22—121no—
732C22D32×D411yescharacteristic
733C4—32no—
734C4—32no—
735C4—32no—
736C4—41no—
737C4—121no—
738C4—121no—
739C4—121no—
740C4—181no—
741C4—181no—
742C4—361no—
743C4—361no—
744C4D3×#23511yescharacteristic
745C4D3×#23711yescharacteristic
746C3—21no—
747C3#7882511yescharacteristic, complemented
748C3#8156211yescharacteristic, complemented
749C2—62no—
750C2—81no—
751C2—241no—
752C2D3×#88511yescharacteristic
753C2D3×#91211yescharacteristic
754C2D3×#91611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
prime radical#10595152C2
hypercenter#102D32
hypocenterC32#3131
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
2. #10594445C2semidirect
3. #10592467C2semidirect
4. C3×#4772C2semidirect
5. C3×#4760C2semidirect
6. #10591487C2semidirect
7. #10591420C2semidirect
8. #10591403C2semidirect
9. #10590954C2semidirect
10. #10590890C2semidirect
11. #10590868C2semidirect
12. D3×C8×Dic3C2semidirect
13. #10590608C2semidirect
14. #10590560C2semidirect
15. #10590539C2semidirect
80. #4772D3semidirect
89. #4760D3semidirect
667. C32#3131semidirect
747. C3#78825semidirect
748. C3#81562semidirect

Maximal subgroups

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

subgroupindex
#105951522
#105944452
#105924672
C3×#47722
C3×#47602
#105914872
#105914202
#105914032
#105909542
#105908902
#105908682
D3×C8×Dic32
#105906082
#105905602
#105905392
#815623
#788253