Finite Group Databasebeta

← #11895756

Subgroups — #11895756

Order 1152.

862 conjugacy classes of subgroups.

The subgroup lattice has 781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595272C211yesmaximal, characteristic, complemented
2#10595143C211yesmaximal, characteristic, complemented
3#10592849C211yesmaximal, characteristic, complemented
4C3×#5152C211yesmaximal, characteristic, complemented
5C3×#5150C211yesmaximal, characteristic, complemented
6#10591487C211yesmaximal, characteristic, complemented
7#10591481C211yesmaximal, characteristic, complemented
8#10591480C211yesmaximal, characteristic, complemented
9#10591436C211yesmaximal, characteristic, complemented
10#10591409C211yesmaximal, characteristic, complemented
11#10591400C211yesmaximal, characteristic, complemented
12#10590882C211yesmaximal, characteristic, complemented
13#10590786C211yesmaximal, characteristic, complemented
14#10590782C211yesmaximal, characteristic, complemented
15#10590759C211yesmaximal, characteristic, complemented
16#80320—31nomaximal
17#79851—31nomaximal
18C2×#3804—21no—
19C2×C32×D8C2211yescharacteristic
20#64149C2211yescharacteristic
21D4×C3⋊Dic3C2211yescharacteristic
22C2×#3753C2211yescharacteristic
23C3×#940C2211yescharacteristic
24C3×D4×Dic3C2211yescharacteristic
25C3×D4×Dic3C2211yescharacteristic
26C3×D4×Dic3C2211yescharacteristic
27C2×C3×#213C2211yescharacteristic
28#63982—21no—
29#63978—21no—
30#63971—21no—
31C2×Dic3⋊Dic3—21no—
32#63964—21no—
33#63964—21no—
34#63958—21no—
35#63918C2211yescharacteristic
36C4×#627C2211yescharacteristic
37#63911C2211yescharacteristic
38#63898C2211yescharacteristic
39#63894C2211yescharacteristic
40#63872C2211yescharacteristic
41#63869C2211yescharacteristic
42#63659C2211yescharacteristic
43#63648C2211yescharacteristic
44#63641C2211yescharacteristic
45C3×#832C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#817C2211yescharacteristic
50C3×#815C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52#63576C2211yescharacteristic
53#63573C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63564C2211yescharacteristic
56#63564C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63555C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5718—31no—
62#5553—31no—
63#5543—31no—
64#5539—31no—
65C3×#459—31no—
66C3×#442—31no—
67#5152—31no—
68#5152D311yescharacteristic, complemented
69#5150—31no—
70#5150—31no—
71#5150—31no—
72#5150—61no—
73#5150D311yescharacteristic, complemented
74#5070—31no—
75#5015—31no—
76C4×#213—31no—
77#5009—31no—
78#4871—31no—
79#4870—31no—
80#4842—31no—
81#4831—31no—
82#4785—31no—
83#4764—31no—
84#4764—31no—
85#4764—31no—
86#4763—31no—
87#4763—31no—
88#4760—31no—
89#4756—31no—
90#4713—31no—
91#4701—31no—
92C2×C32×D4C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C2×#638—21no—
95C2×#638—21no—
96C22×C3⋊Dic3—21no—
97C2×C4⋊(C3⋊D3)C2311yescharacteristic
98C2×C3×#67—21no—
99C2×C3×#67—21no—
100C22×C3×Dic3—21no—
101C22×C3×Dic3—21no—
102C22×C3×Dic3—21no—
103C2×C3×D12C2311yescharacteristic
104C2×#627—21no—
105C2×#627D411yescharacteristic
106C2×#626—21no—
107C2×#626—21no—
108C2×#624—21no—
109#3804—44no—
110C2×D3×Dic3—21no—
111C32×D8—22no—
112C2×C32×C8C2311yescharacteristic
113#3757—21no—
114#3753—22no—
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C3×#217—21no—
119C3×#217—21no—
120C3×#217—21no—
121C3×#213—22no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4×Dic3C2311yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129#3724—21no—
130#3724D411yescharacteristic
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3D411yescharacteristic
136Dic3⋊Dic3D411yescharacteristic
137#3722—21no—
138(C2×D3)⋊Dic3—21no—
139#3366—91noSylow
140C2×#237—61no—
141C2×#235—61no—
142C2×C3×D8—21no—
143C2×C3×D8—31no—
144C2×C3×D8C2×D311yescharacteristic
145C2×C3×D8C2×D311yescharacteristic
146C3×#127—31no—
147C3×C4×D4—31no—
148C3×C4×D4—31no—
149C3×C4×D4—31no—
150#940—31no—
151#940—31no—
152#940—31no—
153#940—61no—
154#940C2×D311yescharacteristic
155#939—61no—
156#939—61no—
157#938—61no—
158D4×Dic3—31no—
159D4×Dic3—31no—
160D4×Dic3—31no—
161D4×Dic3—61no—
162D4×Dic3C2×D311yescharacteristic
163D4×Dic3C2×D311yescharacteristic
164D4×Dic3C2×D311yescharacteristic
165C2×#213—31no—
166C2×#213—31no—
167C2×#213—61no—
168C2×#213C2×D311yescharacteristic
169#930—61no—
170C2×C4⋊Dic3—61no—
171#924—61no—
172#924—61no—
173C2×Dic3⋊C4—61no—
174#893—31no—
175#893—31no—
176#890—31no—
177#890—31no—
178#890—31no—
179#888—31no—
180#884—61no—
181#884—61no—
182#878—61no—
183#878—61no—
184#878—61no—
185#878—61no—
186#874—31no—
187C4×D12—31no—
188#870—31no—
189#869—31no—
190C4×Dic6—31no—
191C4×Dic6—31no—
192C3×#106—31no—
193C3×C4⋊C8—31no—
194C3×#102—31no—
195C3×#102—31no—
196C3×#102—31no—
197C3×#102—31no—
198C3×#97—31no—
199#832—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—61no—
204#832C2×D311yescharacteristic
205#832C2×D311yescharacteristic
206#832C2×D311yescharacteristic
207#821—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—61no—
213#821C2×D311yescharacteristic
214#817—31no—
215#817C2×D311yescharacteristic
216#815—31no—
217#815—31no—
218#815C2×D311yescharacteristic
219Dic3⋊C8—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8—31no—
222Dic3⋊C8—61no—
223Dic3⋊C8C2×D311yescharacteristic
224C8×Dic3—31no—
225#809—31no—
226#809—31no—
227#809—31no—
228#808—31no—
229#807—31no—
230#807—31no—
231C4⋊(C3⋊C8)—31no—
232C4×C3⋊C8—31no—
233C23×C32—21no—
234C23×C32—21no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C32×D4—21no—
238C32×D4—21no—
239C32×D4—21no—
240C32×D4#4112yescomplemented
241C2×C32×C4C2411yescharacteristic
242#638—42no—
243#638—81no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—81no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248C4⋊(C3⋊D3)—21no—
249C4⋊(C3⋊D3)—21no—
250C3×#67—42no—
251C3×#67—81no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—42no—
256C2×C3×Dic3—42no—
257C2×C3×Dic3—81no—
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C2×C3×Dic3C2×D411yescharacteristic
262C3×D12—21no—
263C3×D12—21no—
264#627—22no—
265#627—81no—
266#626—42no—
267#626—81no—
268#624—42no—
269D3×Dic3—42no—
270C32×C8—21no—
271C3⋊(C3⋊C8)—21no—
272C3×C3⋊C8—21no—
273C3×C3⋊C8—21no—
274#554—91no—
275#550—91no—
276#490—91no—
277#490—91no—
278#486—91no—
279#478—91no—
280#478—91no—
281#476—91no—
282#459—31no—
283#459—91no—
284#459—91no—
285#446—91no—
286#442—31no—
287#442—91no—
288C4×D8—91no—
289C2×C3×D4—21no—
290C2×C3×D4—21no—
291C2×C3×D4—31no—
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—61no—
299C22×C3×C4—61no—
300C22×C3×C4—61no—
301C2×#67—21no—
302C2×#67—21no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67—61no—
306C2×#67—61no—
307C2×#67—61no—
308C2×#67—61no—
309C2×#67—121no—
310C2×#67—121no—
311C22×Dic3—21no—
312C22×Dic3—21no—
313C22×Dic3—21no—
314C22×Dic3—61no—
315C22×Dic3—61no—
316C22×Dic3—61no—
317C22×Dic3—121no—
318#237—124no—
319#235—124no—
320C2×D12—31no—
321C2×D12—31no—
322C2×D12—61no—
323C2×D12—61no—
324C2×D12—61no—
325C2×D12C22×D311yescharacteristic
326C2×C4×D3—61no—
327C2×C4×D3—61no—
328C2×C4×D3—61no—
329C2×Dic6—31no—
330C2×Dic6—31no—
331C2×Dic6—61no—
332C2×Dic6—61no—
333C3×D8—22no—
334C3×D8—22no—
335C3×D8—42no—
336C3×D8—62no—
337C2×C3×C8—21no—
338C2×C3×C8—31no—
339C2×C3×C8—31no—
340C2×C3×C8C22×D311yescharacteristic
341C2×C3×C8C22×D311yescharacteristic
342C3×C4⋊C4—31no—
343C3×C4⋊C4—31no—
344C3×C4⋊C4—31no—
345C3×C22⋊C4—61no—
346C3×C22⋊C4—61no—
347C3×C22⋊C4—61no—
348C3×C42—31no—
349C3×C42—31no—
350#217—21no—
351#217—21no—
352#217—21no—
353#217—61no—
354#217—61no—
355#217—61no—
356#217—121no—
357#213—22no—
358#213—62no—
359#213—62no—
360#213—122no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375C4⋊Dic3C22×D311yescharacteristic
376Dic3⋊C4—31no—
377Dic3⋊C4—31no—
378Dic3⋊C4—31no—
379Dic3⋊C4—31no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386C4×Dic3—31no—
387C4×Dic3—31no—
388C4×Dic3—61no—
389C4×Dic3C22×D311yescharacteristic
390C4×Dic3C22×D311yescharacteristic
391C2×C3⋊C8—31no—
392C2×C3⋊C8—31no—
393C2×C3⋊C8—61no—
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396C22×C32—22no—
397C22×C32—41no—
398C22×C32—41no—
399C22×C32—41no—
400C22×C32—41no—
401C22×C32—41no—
402C22×C32C22×D411yescharacteristic
403C2×C3⋊D3—41no—
404C2×C3⋊D3—41no—
405C2×C3⋊D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C42−1+411yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C3×Dic3AGL(1,ℤ/8)12yes—
421C2×#41—181no—
422C2×D8—31no—
423C2×D8—91no—
424C2×D8D3211yescharacteristic
425C4⋊Q8—91no—
426#127—31no—
427#127—91no—
428#127—91no—
429#125—91no—
430#125—91no—
431C22⋊Q8—181no—
432C22⋊Q8—181no—
433C22⋊Q8—181no—
434#121—181no—
435#121—181no—
436#121—181no—
437C4×Q8—91no—
438C4×D4—31no—
439C4×D4—31no—
440C4×D4—31no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—91no—
444C2×C4⋊C4—181no—
445#107—91no—
446#106—31no—
447#106—91no—
448C4⋊C8—31no—
449C4⋊C8—91no—
450C4⋊C8—91no—
451#102—31no—
452#102—31no—
453#102—31no—
454#102—31no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459#102—91no—
460#102—91no—
461#97—31no—
462#97—91no—
463C4×C8—91no—
464C23×C3—21no—
465C23×C3—21no—
466C23×C3—21no—
467C23×C3—21no—
468C23×C3—41no—
469C23×C3—41no—
470C23×C3—61no—
471C22×D3—21no—
472C22×D3—61no—
473C22×D3—61no—
474C22×D3—121no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—21no—
478C3×D4—21no—
479C3×D4—21no—
480C3×D4—21no—
481C3×D4—22no—
482C3×D4—41no—
483C3×D4—41no—
484C3×D4—41no—
485C3×D4—61no—
486C3×D4—61no—
487C3×D4—122no—
488C3×D4—241no—
489C3×D4#23512yescomplemented
490C3×D4#23712yescomplemented
491C2×C3×C4—21no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—122no—
500C2×C3×C4—122no—
501C2×C3×C4—241no—
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—42no—
505#67—81no—
506#67—122no—
507#67—122no—
508#67—122no—
509#67—242no—
510#67—241no—
511#67—241no—
512#67—241no—
513#67—242no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—31no—
518C2×Dic3—31no—
519C2×Dic3—31no—
520C2×Dic3—31no—
521C2×Dic3—42no—
522C2×Dic3—42no—
523C2×Dic3—61no—
524C2×Dic3—61no—
525C2×Dic3—61no—
526C2×Dic3—61no—
527C2×Dic3—81no—
528C2×Dic3—121no—
529C2×Dic3—122no—
530C2×Dic3—241no—
531C2×Dic3—241no—
532C2×Dic3—242no—
533C2×Dic3D3×D411yescharacteristic
534C2×Dic3D3×D411yescharacteristic
535C2×Dic3D3×D411yescharacteristic
536C2×Dic3D3×D411yescharacteristic
537D12—21no—
538D12—21no—
539D12—61no—
540D12—61no—
541D12—61no—
542D12—61no—
543D12—121no—
544D12—121no—
545D12—122no—
546D12—241no—
547C4×D3—122no—
548C4×D3—122no—
549C4×D3—122no—
550Dic6—62no—
551Dic6—62no—
552Dic6—241no—
553Dic6—241no—
554C3×C8—21no—
555C3×C8—21no—
556C3×C8—41no—
557C3×C8—61no—
558C3×C8—61no—
559C3⋊C8—21no—
560C3⋊C8—21no—
561C3⋊C8—61no—
562C3⋊C8—61no—
563C3⋊C8—121no—
564C2×C32—42no—
565C2×C32—81no—
566C2×C32#54811yescharacteristic
567C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
568C2×C32#57611yescharacteristic
569C3⋊D3—81no—
570C3×D3—81no—
571#41—364no—
572C2×Q8—91no—
573C2×Q8—181no—
574C2×D4—31no—
575C2×D4—61no—
576C2×D4—61no—
577C2×D4—91no—
578C2×D4—181no—
579C2×D4—181no—
580C2×D4—181no—
581C2×D4—181no—
582C2×D4C2×D3211yescharacteristic
583C2×D4C2×D3211yescharacteristic
584C22×C4—61no—
585C22×C4—61no—
586C22×C4—61no—
587C22×C4—181no—
588C22×C4—181no—
589C22×C4—181no—
590D8—22no—
591D8—62no—
592D8—182no—
593C2×C8—31no—
594C2×C8—31no—
595C2×C8—91no—
596C2×C8C2×D3211yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—31no—
600C4⋊C4—91no—
601C4⋊C4—91no—
602C4⋊C4—91no—
603C4⋊C4—91no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4—181no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C22⋊C4—61no—
610C22⋊C4—61no—
611C22⋊C4—61no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C22⋊C4—181no—
615C42—31no—
616C42—31no—
617C42—91no—
618C22×C3—22no—
619C22×C3—22no—
620C22×C3—21no—
621C22×C3—42no—
622C22×C3—41no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—41no—
626C22×C3—41no—
627C22×C3—41no—
628C22×C3—41no—
629C22×C3—41no—
630C22×C3—41no—
631C22×C3—41no—
632C22×C3—81no—
633C22×C3—81no—
634C22×C3—81no—
635C22×C3—81no—
636C22×C3—81no—
637C22×C3—121no—
638C22×C3—121no—
639C22×C3—121no—
640C22×C3C2×D3×D411yescharacteristic
641C22×C3C2×D3×D411yescharacteristic
642C2×D3—41no—
643C2×D3—41no—
644C2×D3—41no—
645C2×D3—121no—
646C2×D3—121no—
647C2×D3—121no—
648C2×D3—121no—
649C2×D3—121no—
650C2×D3—121no—
651C2×D3—241no—
652C2×D3—241no—
653C2×D3—241no—
654C3×C4—21no—
655C3×C4—21no—
656C3×C4—32no—
657C3×C4—61no—
658C3×C4—61no—
659C3×C4—61no—
660C3×C4—121no—
661C3×C4—121no—
662C3×C4—121no—
663C3×C4C2×#23511yescharacteristic
664C3×C4C2×#23711yescharacteristic
665C3×C4#101011yescharacteristic
666C3×C4#101011yescharacteristic
667Dic3—21no—
668Dic3—21no—
669Dic3—21no—
670Dic3—41no—
671Dic3—41no—
672Dic3—41no—
673Dic3—62no—
674Dic3—61no—
675Dic3—61no—
676Dic3—61no—
677Dic3—61no—
678Dic3—121no—
679Dic3—121no—
680Dic3—121no—
681Dic3—241no—
682Dic3#91112yes—
683C32#336611yescharacteristic, complemented, Sylow
684C23—21no—
685C23—21no—
686C23—61no—
687C23—181no—
688Q8—182no—
689Q8—721no—
690D4—21no—
691D4—21no—
692D4—21no—
693D4—61no—
694D4—61no—
695D4—122no—
696D4—181no—
697D4—181no—
698D4—241no—
699D4—362no—
700D4—362no—
701D4—721no—
702D4—721no—
703D4#380412yescomplemented
704C2×C4—31no—
705C2×C4—31no—
706C2×C4—31no—
707C2×C4—31no—
708C2×C4—61no—
709C2×C4—61no—
710C2×C4—61no—
711C2×C4—91no—
712C2×C4—91no—
713C2×C4—122no—
714C2×C4—122no—
715C2×C4—181no—
716C2×C4—241no—
717C2×C4—362no—
718C2×C4—362no—
719C2×C4—721no—
720C2×C4C22×D3211yescharacteristic
721C8—21no—
722C8—61no—
723C8—61no—
724C8—181no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—21no—
728C2×C3—42no—
729C2×C3—42no—
730C2×C3—82no—
731C2×C3—81no—
732C2×C3—81no—
733C2×C3—161no—
734C2×C3—241no—
735C2×C3#555211yescharacteristic
736C2×C3#559811yescharacteristic
737C2×C3C2×#91111yescharacteristic
738C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
739C2×C3#577411yescharacteristic
740C2×C3#577411yescharacteristic
741D3—81no—
742D3—241no—
743D3—241no—
744D3—481no—
745C22—22no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—121no—
752C22—121no—
753C22—121no—
754C22—361no—
755C22—361no—
756C22—361no—
757C22D32×D411yescharacteristic
758C4—32no—
759C4—61no—
760C4—61no—
761C4—61no—
762C4—121no—
763C4—121no—
764C4—121no—
765C4—181no—
766C4—181no—
767C4—361no—
768C4#6430911yescharacteristic
769C4C2×#380411yescharacteristic
770C3—21no—
771C3#7985111yescharacteristic, complemented
772C3#8032011yescharacteristic, complemented
773C2—42no—
774C2—81no—
775C2—241no—
776C2—721no—
777C2D3×#91111yescharacteristic
778C2#1059473511yescharacteristic
779C2#1059514111yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×D8C22
socleC22×C32C22×D4
hypercenterC2×D8D32
hypocenterC32#3366
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. #10595272C2semidirect
2. #10595143C2semidirect
3. #10592849C2semidirect
4. C3×#5152C2semidirect
5. C3×#5150C2semidirect
6. #10591487C2semidirect
7. #10591481C2semidirect
8. #10591480C2semidirect
9. #10591436C2semidirect
10. #10591409C2semidirect
11. #10591400C2semidirect
12. #10590882C2semidirect
13. #10590786C2semidirect
14. #10590782C2semidirect
15. #10590759C2semidirect
68. #5152D3semidirect
73. #5150D3semidirect
240. C32×D4#41semidirect
489. C3×D4#235semidirect
490. C3×D4#237semidirect
683. C32#3366semidirect
703. D4#3804semidirect
771. C3#79851semidirect
772. C3#80320semidirect

Maximal subgroups

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

subgroupindex
#105952722
#105951432
#105928492
C3×#51522
C3×#51502
#105914872
#105914812
#105914802
#105914362
#105914092
#105914002
#105908822
#105907862
#105907822
#105907592
#803203
#798513