Finite Group Databasebeta

← #11868039

Subgroups — #11868039

Order 1152.

979 conjugacy classes of subgroups.

The subgroup lattice has 769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5822C211yesmaximal, characteristic, complemented
2C2×C3×#950C211yesmaximal, characteristic, complemented
3#10594786C211yesmaximal, characteristic, complemented
4C2×#63814C211yesmaximal, characteristic, complemented
5#10592936C211yesmaximal, characteristic, complemented
6#10591642C212yesmaximal, complemented
7#10591641C212yesmaximal, complemented
8#10591506C212yesmaximal, complemented
9#10591505C212yesmaximal, complemented
10C2×#63577C211yesmaximal, characteristic, complemented
11#10591076C211yesmaximal, characteristic, complemented
12#84001—31nomaximal
13#83928—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C2×C3×#235C2211yescharacteristic
17C2×#3748C2211yescharacteristic
18C2×#3748C2211yescharacteristic
19C3×#951—21no—
20C3×#950—22no—
21C3×#950—21no—
22C3×#950—21no—
23C3×#950—21no—
24C3×#950—21no—
25C3×#949—21no—
26C2×C3×#216C2211yescharacteristic, complemented
27C3×#942C2212yes—
28C2×C3×#215C2211yescharacteristic, complemented
29C2×C3×#214C2211yescharacteristic, complemented
30C3×#932C2212yes—
31C2×C3×#213C2211yescharacteristic, complemented
32C2×C3×#208C2211yescharacteristic
33C22×C3×C3⋊C8C2211yescharacteristic
34#63827—21no—
35#63827C2212yes—
36#63823—21no—
37#63823C2212yes—
38#63822—22no—
39C2×#3711—21no—
40#63814—21no—
41#63814—21no—
42#63814C2212yes—
43#63814C2212yes—
44C2×D3×C3⋊C8—21no—
45#63663C2212yescomplemented
46#63660C2212yescomplemented
47#63577C2212yescomplemented
48#63577C2212yescomplemented
49#63560C2212yescomplemented
50#63558C2212yescomplemented
51C3×#575—31no—
52C2×C3×#135—31no—
53#5822—31no—
54#5822—31no—
55#5822D311yescharacteristic, complemented
56C2×#950D311yescharacteristic, complemented
57C2×#948—31no—
58C2×#901—31no—
59#5237—31no—
60#5237—31no—
61#5237—31no—
62#5237—61no—
63#5204—32no—
64#5203—32no—
65#5200—32no—
66#5199—32no—
67#5192—32no—
68#5177—32no—
69#5177—32no—
70#5160—32no—
71#5132—31no—
72C2×#822—31no—
73C2×#819—31no—
74C32×#41—21no—
75C32×#41—21no—
76C32×#41—21no—
77C32×#41—21no—
78C2×C32×Q8C2311yescharacteristic
79C2×C32×D4—21no—
80C2×C32×D4C2311yescharacteristic
81C22×C32×C4—21no—
82C22×C32×C4C2311yescharacteristic
83C2×C3×#67—21no—
84C2×C3×#67—21no—
85C3×#235—21no—
86C3×#235—21no—
87C3×#235—21no—
88C3×#235—21no—
89C3×#235—21no—
90C3×#235—21no—
91C3×#235D412yes—
92C3×#235C2312yes—
93C2×C3×D12D411yescharacteristic
94C2×C3×D12C2311yescharacteristic
95C2×C3×C4×D3—21no—
96C2×C3×C4×D3—21no—
97C2×C3×Dic6D411yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99#3748—21no—
100#3748—21no—
101#3748C2312yes—
102#3748C2312yes—
103C2×C3⋊(C3⋊C8)—21no—
104C2×C3⋊(C3⋊C8)—21no—
105C3×#216—22no—
106C3×#216—21no—
107C3×#216—21no—
108C3×#215—22no—
109C3×#215—21no—
110C3×#215—21no—
111C3×#214—22no—
112C3×#214—21no—
113C3×#214—21no—
114C3×#213—22no—
115C3×#213—21no—
116C3×#213—21no—
117C3×#208—21no—
118C3×#208C2312yes—
119C2×C3×C3⋊C8—21no—
120C2×C3×C3⋊C8D411yescharacteristic
121C2×C3×C3⋊C8D411yescharacteristic
122C2×C3×C3⋊C8D411yescharacteristic
123C2×C3×C3⋊C8D411yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126#3718—22no—
127#3715—22no—
128#3715—22no—
129#3713—22no—
130#3711—22no—
131#3711—22no—
132D3×C3⋊C8—22no—
133D3×C3⋊C8—22no—
134#3067—91noSylow
135C2×C3×#41—21no—
136C2×C3×#41—31no—
137C2×C3×#41—31no—
138C2×C3×#41C2×D311yescharacteristic
139C2×C3×#41C2×D311yescharacteristic
140C2×#235C2×D311yescharacteristic
141C2×#235C2×D311yescharacteristic
142C3×#137—32no—
143C3×#137—61no—
144C3×AGL(1,ℤ/8)—32no—
145C3×AGL(1,ℤ/8)—61no—
146C3×#135—61no—
147C3×#135—61no—
148C3×#135—61no—
149C3×#135—61no—
150C3×#135—62no—
151C2×C3×Q16—31no—
152C2×C3×SD16—31no—
153C2×C3×SD16—31no—
154C2×C3×D8—31no—
155C2×C3×M16—31no—
156C22×C3×C8—31no—
157#951—21no—
158#951—32no—
159#951—61no—
160#950—22no—
161#950—21no—
162#950—21no—
163#950—21no—
164#950—21no—
165#950—62no—
166#950—62no—
167#949—21no—
168#949—32no—
169#949—61no—
170#948—32no—
171#948—32no—
172#948—61no—
173#948—61no—
174C2×#216C2×D311yescharacteristic, complemented
175#942—32no—
176#942—61no—
177#942C2×D312yes—
178C2×#215C2×D311yescharacteristic, complemented
179C2×#214C2×D311yescharacteristic, complemented
180#932—32no—
181#932—61no—
182#932C2×D312yes—
183C2×#213C2×D311yescharacteristic, complemented
184C2×#208—31no—
185C2×#208—31no—
186C2×#208—31no—
187C2×#208—31no—
188C2×#208—61no—
189C2×#208—61no—
190C2×#208—61no—
191C2×#208C2×D311yescharacteristic
192C22×C3⋊C8—61no—
193C22×C3⋊C8C2×D311yescharacteristic
194#901—32no—
195#901—32no—
196#901—61no—
197#901—61no—
198C2×ΓL(1,𝔽25)—61no—
199C2×D3×C8—61no—
200#836—32no—
201#836—32no—
202#836—32no—
203#836—62no—
204#833—32no—
205#833—32no—
206#833—32no—
207#833—62no—
208#824—32no—
209#823—32no—
210#822—32no—
211#822—32no—
212#819—32no—
213#819—32no—
214C23×C32—21no—
215C23×C32#4111yescharacteristic
216C22×C3×D3—21no—
217C22×C3×D3—21no—
218C32×Q8—21no—
219C32×Q8—21no—
220C32×D4—21no—
221C32×D4—21no—
222C32×D4—41no—
223C32×D4—41no—
224C2×C32×C4—21no—
225C2×C32×C4—41no—
226C2×C32×C4—41no—
227C2×C32×C4C2×D411yescharacteristic
228C2×C32×C4C2×D411yescharacteristic
229C2×C32×C4C2×D411yescharacteristic
230C2×C32×C4C2×D411yescharacteristic
231C2×C32×C4#4111yescharacteristic
232C2×C32×C4C2411yescharacteristic
233C3×#67—22no—
234C3×#67—22no—
235C3×#67—41no—
236C3×#67—41no—
237C2×C3×Dic3—21no—
238C2×C3×Dic3—21no—
239C3×D12—21no—
240C3×D12—21no—
241C3×D12—21no—
242C3×D12C2×D412yes—
243C3×C4×D3—22no—
244C3×C4×D3—22no—
245C3×C4×D3—41no—
246C3×C4×D3—41no—
247C3×Dic6—21no—
248C3×Dic6—21no—
249C3×Dic6—21no—
250C3×Dic6C2×D412yes—
251C3⋊(C3⋊C8)—22no—
252C3⋊(C3⋊C8)—22no—
253C3×C3⋊C8—22no—
254C3×C3⋊C8C2×D411yescharacteristic
255C3×C3⋊C8C2×D411yescharacteristic
256C3×C3⋊C8C2×D411yescharacteristic
257C3×C3⋊C8C2×D411yescharacteristic
258#575—31no—
259#575—91no—
260C2×#135—31no—
261C2×#131—91no—
262#473—92no—
263#472—92no—
264#471—92no—
265#471—92no—
266C2×#108—91no—
267#413—91no—
268#413—91no—
269C3×#41—21no—
270C3×#41—21no—
271C3×#41—21no—
272C3×#41—21no—
273C3×#41—21no—
274C3×#41—21no—
275C3×#41—21no—
276C3×#41—21no—
277C3×#41—32no—
278C3×#41—32no—
279C3×#41—41no—
280C3×#41—41no—
281C3×#41—41no—
282C3×#41—41no—
283C3×#41—61no—
284C3×#41—61no—
285C3×#41—61no—
286C3×#41—61no—
287C3×#41—61no—
288C3×#41—61no—
289C2×C3×Q8—21no—
290C2×C3×Q8—31no—
291C2×C3×Q8—31no—
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×D4—22no—
295C2×C3×D4—21no—
296C2×C3×D4—21no—
297C2×C3×D4—21no—
298C2×C3×D4—31no—
299C2×C3×D4—31no—
300C2×C3×D4—61no—
301C2×C3×D4—61no—
302C2×C3×D4C22×D311yescharacteristic
303C2×C3×D4C22×D311yescharacteristic
304C22×C3×C4—22no—
305C22×C3×C4—21no—
306C22×C3×C4—21no—
307C22×C3×C4—21no—
308C22×C3×C4—61no—
309C22×C3×C4—61no—
310C22×C3×C4C22×D311yescharacteristic
311C22×C3×C4C22×D311yescharacteristic
312C2×#67—21no—
313C2×#67—21no—
314#235—21no—
315#235—21no—
316#235—21no—
317#235—21no—
318#235—21no—
319#235—21no—
320#235#6712yes—
321#235C22×D312yes—
322C2×D12#6711yescharacteristic
323C2×D12C22×D311yescharacteristic
324C2×C4×D3—21no—
325C2×C4×D3—21no—
326C2×Dic6#6711yescharacteristic
327C2×Dic6C22×D311yescharacteristic
328C3×Q16—61no—
329C3×Q16—61no—
330C3×Q16—62no—
331C3×SD16—61no—
332C3×SD16—61no—
333C3×SD16—61no—
334C3×SD16—61no—
335C3×SD16—62no—
336C3×SD16—62no—
337C3×D8—61no—
338C3×D8—61no—
339C3×D8—62no—
340C3×M16—32no—
341C3×M16—61no—
342C2×C3×C8—31no—
343C2×C3×C8—31no—
344C2×C3×C8—31no—
345C2×C3×C8—31no—
346C2×C3×C8—31no—
347C2×C3×C8—31no—
348C2×C3×C8—61no—
349#216—22no—
350#216—21no—
351#216—21no—
352#216—62no—
353#216—62no—
354#215—22no—
355#215—21no—
356#215—21no—
357#215—62no—
358#215—62no—
359#214—22no—
360#214—21no—
361#214—21no—
362#214—62no—
363#214—62no—
364#213—22no—
365#213—21no—
366#213—21no—
367#213—62no—
368#213—62no—
369#208—21no—
370#208—32no—
371#208—32no—
372#208—32no—
373#208—32no—
374#208—62no—
375#208—62no—
376#208—61no—
377#208—61no—
378#208—61no—
379#208—61no—
380#208—62no—
381#208—62no—
382#208—121no—
383#208—121no—
384#208C22×D312yes—
385C2×C3⋊C8—21no—
386C2×C3⋊C8—61no—
387C2×C3⋊C8—61no—
388C2×C3⋊C8—61no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8—62no—
391C2×C3⋊C8—62no—
392C2×C3⋊C8—121no—
393C2×C3⋊C8—121no—
394C2×C3⋊C8#6711yescharacteristic
395C2×C3⋊C8#6711yescharacteristic
396C2×C3⋊C8#6711yescharacteristic
397C2×C3⋊C8#6711yescharacteristic
398C2×C3⋊C8C22×D311yescharacteristic
399C2×C3⋊C8C22×D311yescharacteristic
400ΓL(1,𝔽25)—62no—
401ΓL(1,𝔽25)—62no—
402D3×C8—62no—
403D3×C8—62no—
404C22×C32—41no—
405C22×C32—41no—
406C22×C32—81no—
407C22×C32#12111yescharacteristic
408C22×C32#12111yescharacteristic
409C22×C32C2×#4111yescharacteristic
410C2×C3×D3—22no—
411C2×C3×D3—42no—
412C2×C3×D3—41no—
413C2×C3×D3—81no—
414C32×C4—41no—
415C32×C4#12111yescharacteristic
416C32×C4#12111yescharacteristic
417C32×C4C22×D411yescharacteristic
418C32×C4C22×D411yescharacteristic
419C3×Dic3—22no—
420C3×Dic3—41no—
421C2×#41—31no—
422C2×#41—31no—
423C2×#41D3211yescharacteristic
424#137—32no—
425#137—61no—
426#137—92no—
427#137—181no—
428AGL(1,ℤ/8)—32no—
429AGL(1,ℤ/8)—61no—
430AGL(1,ℤ/8)—92no—
431AGL(1,ℤ/8)—181no—
432#135—61no—
433#135—61no—
434#135—61no—
435#135—61no—
436#135—62no—
437#135—182no—
438C2×Q16—31no—
439C2×SD16—31no—
440C2×SD16—31no—
441C2×D8—31no—
442#131—92no—
443#131—92no—
444#131—181no—
445#131—181no—
446C2×M16—31no—
447C2×M16—91no—
448C2×M16—91no—
449C2×M16—181no—
450C22×C8—31no—
451C22×C8—181no—
452#108—92no—
453#108—92no—
454#101—92no—
455#101—92no—
456#100—92no—
457#100—92no—
458C23×C3—22no—
459C23×C3—21no—
460C23×C3—21no—
461C23×C3—21no—
462C23×C3—61no—
463C23×C3—61no—
464C23×C3#23711yescharacteristic
465C23×C3#23711yescharacteristic
466C22×D3—21no—
467C22×D3—21no—
468C3×Q8—21no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—21no—
472C3×Q8—32no—
473C3×Q8—41no—
474C3×Q8—41no—
475C3×Q8—61no—
476C3×Q8—61no—
477C3×Q8—61no—
478C3×D4—21no—
479C3×D4—21no—
480C3×D4—21no—
481C3×D4—21no—
482C3×D4—32no—
483C3×D4—41no—
484C3×D4—41no—
485C3×D4—42no—
486C3×D4—42no—
487C3×D4—41no—
488C3×D4—41no—
489C3×D4—41no—
490C3×D4—41no—
491C3×D4—62no—
492C3×D4—62no—
493C3×D4—61no—
494C3×D4—61no—
495C3×D4—61no—
496C3×D4—121no—
497C3×D4—121no—
498C2×C3×C4—22no—
499C2×C3×C4—21no—
500C2×C3×C4—21no—
501C2×C3×C4—21no—
502C2×C3×C4—21no—
503C2×C3×C4—21no—
504C2×C3×C4—21no—
505C2×C3×C4—21no—
506C2×C3×C4—21no—
507C2×C3×C4—42no—
508C2×C3×C4—42no—
509C2×C3×C4—41no—
510C2×C3×C4—41no—
511C2×C3×C4—41no—
512C2×C3×C4—41no—
513C2×C3×C4—61no—
514C2×C3×C4—62no—
515C2×C3×C4—62no—
516C2×C3×C4—61no—
517C2×C3×C4—121no—
518C2×C3×C4—121no—
519C2×C3×C4D3×D411yescharacteristic
520C2×C3×C4D3×D411yescharacteristic
521C2×C3×C4D3×D411yescharacteristic
522C2×C3×C4D3×D411yescharacteristic
523C2×C3×C4#23711yescharacteristic
524C2×C3×C4#23711yescharacteristic
525C2×C3×C4C2×#6711yescharacteristic
526C2×C3×C4C2×#6711yescharacteristic
527C2×C3×C4C2×#6711yescharacteristic
528C2×C3×C4C2×#6711yescharacteristic
529C2×C3×C4C23×D311yescharacteristic
530C2×C3×C4C23×D311yescharacteristic
531#67—22no—
532#67—22no—
533#67—41no—
534#67—41no—
535C2×Dic3—21no—
536C2×Dic3—21no—
537D12—21no—
538D12—21no—
539D12—21no—
540D12C2×#6712yes—
541C4×D3—22no—
542C4×D3—22no—
543C4×D3—41no—
544C4×D3—41no—
545Dic6—21no—
546Dic6—21no—
547Dic6—21no—
548Dic6C2×#6712yes—
549C3×C8—31no—
550C3×C8—31no—
551C3×C8—31no—
552C3×C8—31no—
553C3×C8—62no—
554C3⋊C8—22no—
555C3⋊C8—62no—
556C3⋊C8—62no—
557C3⋊C8—62no—
558C3⋊C8—62no—
559C3⋊C8—122no—
560C3⋊C8—122no—
561C3⋊C8C2×#6711yescharacteristic
562C3⋊C8C2×#6711yescharacteristic
563C3⋊C8C2×#6711yescharacteristic
564C3⋊C8C2×#6711yescharacteristic
565C2×C32—21no—
566C2×C32—21no—
567C2×C32—21no—
568C2×C32—81no—
569C2×C32C2×#12111yescharacteristic
570C3×D3—42no—
571C3×D3—81no—
572#41—21no—
573#41—21no—
574#41—21no—
575#41—21no—
576#41—32no—
577#41—32no—
578#41—61no—
579#41—61no—
580#41—61no—
581#41—61no—
582#41—61no—
583#41—61no—
584C2×Q8—31no—
585C2×Q8—31no—
586C2×Q8C2×D3211yescharacteristic
587C2×D4—21no—
588C2×D4—31no—
589C2×D4—31no—
590C2×D4—61no—
591C2×D4—61no—
592C2×D4C2×D3211yescharacteristic
593C22×C4—21no—
594C22×C4—61no—
595C22×C4—61no—
596C22×C4C2×D3211yescharacteristic
597Q16—61no—
598Q16—61no—
599Q16—62no—
600Q16—182no—
601SD16—61no—
602SD16—61no—
603SD16—61no—
604SD16—61no—
605SD16—62no—
606SD16—62no—
607SD16—182no—
608SD16—182no—
609D8—61no—
610D8—61no—
611D8—62no—
612D8—182no—
613M16—32no—
614M16—61no—
615M16—92no—
616M16—92no—
617M16—182no—
618M16—182no—
619M16—181no—
620M16—181no—
621C2×C8—31no—
622C2×C8—31no—
623C2×C8—31no—
624C2×C8—31no—
625C2×C8—31no—
626C2×C8—31no—
627C2×C8—61no—
628C2×C8—182no—
629C2×C8—182no—
630C2×C8—181no—
631C2×C8—181no—
632C22×C3—21no—
633C22×C3—21no—
634C22×C3—21no—
635C22×C3—41no—
636C22×C3—41no—
637C22×C3—42no—
638C22×C3—41no—
639C22×C3—41no—
640C22×C3—62no—
641C22×C3—81no—
642C22×C3—81no—
643C22×C3—81no—
644C22×C3—82no—
645C22×C3—122no—
646C22×C3—121no—
647C22×C3—241no—
648C22×C3#93811yescharacteristic
649C22×C3#93811yescharacteristic
650C22×C3#93911yescharacteristic
651C22×C3#93911yescharacteristic
652C22×C3C2×#23711yescharacteristic
653C22×C3C2×#23711yescharacteristic
654C2×D3—22no—
655C2×D3—42no—
656C2×D3—41no—
657C2×D3—81no—
658C3×C4—21no—
659C3×C4—21no—
660C3×C4—21no—
661C3×C4—21no—
662C3×C4—42no—
663C3×C4—41no—
664C3×C4—41no—
665C3×C4—62no—
666C3×C4—121no—
667C3×C4#93811yescharacteristic
668C3×C4#93811yescharacteristic
669C3×C4#93911yescharacteristic
670C3×C4#93911yescharacteristic
671C3×C4C2×D3×D411yescharacteristic
672C3×C4C2×D3×D411yescharacteristic
673C3×C4C22×#6711yescharacteristic
674C3×C4C22×#6711yescharacteristic
675Dic3—22no—
676Dic3—41no—
677C32#306711yescharacteristic, complemented, Sylow
678C23—21no—
679C23—61no—
680C23—61no—
681C23#380511yescharacteristic
682Q8—21no—
683Q8—21no—
684Q8—32no—
685Q8—61no—
686Q8—61no—
687Q8—61no—
688D4—21no—
689D4—21no—
690D4—32no—
691D4—41no—
692D4—41no—
693D4—62no—
694D4—62no—
695D4—61no—
696D4—61no—
697D4—61no—
698D4—121no—
699D4—121no—
700C2×C4—21no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—61no—
704C2×C4—62no—
705C2×C4—62no—
706C2×C4—61no—
707C2×C4—121no—
708C2×C4—121no—
709C2×C4#380511yescharacteristic
710C2×C4D3×#6711yescharacteristic
711C2×C4D3×#6711yescharacteristic
712C2×C4D3×#6711yescharacteristic
713C2×C4D3×#6711yescharacteristic
714C2×C4C22×D3211yescharacteristic
715C8—31no—
716C8—31no—
717C8—31no—
718C8—31no—
719C8—62no—
720C8—182no—
721C8—182no—
722C2×C3—21no—
723C2×C3—21no—
724C2×C3—21no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—21no—
728C2×C3—21no—
729C2×C3—41no—
730C2×C3—41no—
731C2×C3—41no—
732C2×C3—82no—
733C2×C3—81no—
734C2×C3—81no—
735C2×C3—122no—
736C2×C3—241no—
737C2×C3C2×#93811yescharacteristic
738C2×C3C2×#93911yescharacteristic
739D3—42no—
740D3—81no—
741C22—41no—
742C22—41no—
743C22—62no—
744C22—81no—
745C22—122no—
746C22—121no—
747C22—241no—
748C22#6397011yescharacteristic
749C22#6397011yescharacteristic
750C22C2×#380511yescharacteristic
751C4—41no—
752C4—62no—
753C4—121no—
754C4#6397011yescharacteristic
755C4#6397011yescharacteristic
756C4C2×D3×#6711yescharacteristic
757C4C2×D3×#6711yescharacteristic
758C3—21no—
759C3#8392811yescharacteristic, complemented
760C3#8400111yescharacteristic, complemented
761C2—21no—
762C2—21no—
763C2—21no—
764C2—81no—
765C2—122no—
766C2—241no—
767C2C2×#6397011yescharacteristic
subgroupG/H
centerC4#63970
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC2×C32C2×#121
hypercenterC2×#41D32
hypocenterC32#3067
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C4 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C3×#5822C2semidirect
2. C2×C3×#950C2semidirect
3. #10594786C2semidirect
4. C2×#63814C2semidirect
5. #10592936C2semidirect
6. #10591642C2semidirect
7. #10591641C2semidirect
8. #10591506C2semidirect
9. #10591505C2semidirect
10. C2×#63577C2semidirect
11. #10591076C2semidirect
26. C2×C3×#216C22semidirect
28. C2×C3×#215C22semidirect
29. C2×C3×#214C22semidirect
31. C2×C3×#213C22semidirect
45. #63663C22semidirect
46. #63660C22semidirect
47. #63577C22semidirect
48. #63577C22semidirect
49. #63560C22semidirect
50. #63558C22semidirect
55. #5822D3semidirect
56. C2×#950D3semidirect
174. C2×#216C2×D3semidirect
178. C2×#215C2×D3semidirect
179. C2×#214C2×D3semidirect
183. C2×#213C2×D3semidirect
677. C32#3067semidirect
759. C3#83928semidirect
760. C3#84001semidirect

Maximal subgroups

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

subgroupindex
C3×#58222
C2×C3×#9502
#105947862
C2×#638142
#105929362
#105916422
#105916412
#105915062
#105915052
C2×#635772
#105910762
#840013
#839283