Finite Group Databasebeta

← #11895743

Subgroups — #11895743

Order 1152.

839 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593941C211yesmaximal, characteristic, complemented
2#10593906C211yesmaximal, characteristic, complemented
3#10592527C211yesmaximal, characteristic, complemented
4C3×#4847C211yesmaximal, characteristic, complemented
5C3×#4843C211yesmaximal, characteristic, complemented
6#10590888C211yesmaximal, characteristic, complemented
7#10590885C211yesmaximal, characteristic, complemented
8#10590781C211yesmaximal, characteristic, complemented
9#10590780C211yesmaximal, characteristic, complemented
10#10590777C211yesmaximal, characteristic, complemented
11#10590776C211yesmaximal, characteristic, complemented
12#10590749C211yesmaximal, characteristic, complemented
13#10590749C211yesmaximal, characteristic, complemented
14#10590344C211yesmaximal, characteristic, complemented
15#10590279C211yesmaximal, characteristic, complemented
16#81152—31nomaximal
17#80321—31nomaximal
18C2×#3795—21no—
19C4×#634C2211yescharacteristic
20C2×C3×D24C2211yescharacteristic
21C2×C3×D24C2211yescharacteristic
22C3×#874C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×C4×D12C2211yescharacteristic
25C3×#870C2211yescharacteristic
26#63919C2211yescharacteristic
27#63914C2211yescharacteristic
28#63914C2211yescharacteristic
29#63908—21no—
30#63898C2211yescharacteristic
31#63898C2211yescharacteristic
32#63898C2211yescharacteristic
33#63898C2211yescharacteristic
34#63896—21no—
35#63893—21no—
36#63885—21no—
37#63885—21no—
38D3×Dic3⋊C4—21no—
39#63872C2211yescharacteristic
40#63851—21no—
41C2×#3713C2211yescharacteristic
42C32×C4⋊C8C2211yescharacteristic
43#63642C2211yescharacteristic
44#63641C2211yescharacteristic
45#63641C2211yescharacteristic
46C8×C3⋊Dic3C2211yescharacteristic
47#63630C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×#821C2211yescharacteristic
52C3×#818C2211yescharacteristic
53C3×#817C2211yescharacteristic
54#63574C2211yescharacteristic
55#63562C2211yescharacteristic
56#63562C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63562C2211yescharacteristic
60#63562C2211yescharacteristic
61#5718—31no—
62#5690—31no—
63#5553—31no—
64#5539—31no—
65C3×#478—31no—
66C3×#459—31no—
67#5152—31no—
68#5150—31no—
69#5150—31no—
70Dic3×D8—31no—
71#5071—31no—
72#5067—31no—
73#5014—31no—
74#5014—31no—
75#4891—31no—
76#4872—31no—
77#4870—31no—
78#4869—31no—
79#4847D311yescharacteristic, complemented
80#4843D311yescharacteristic, complemented
81#4828—31no—
82#4828—31no—
83#4828—61no—
84#4786—31no—
85#4786—31no—
86#4766—31no—
87#4764—31no—
88#4764—31no—
89#4761—31no—
90#4760—31no—
91#4760—31no—
92C2×#634D411yescharacteristic
93C2×C3×D12—21no—
94C2×C3×D12—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3—21no—
101C2×#627—21no—
102C2×#625—21no—
103C2×#625—21no—
104C2×#625—21no—
105C2×#625—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108C2×D3×Dic3—21no—
109C2×D3×Dic3—21no—
110#3795—44no—
111C2×C32×C8C2311yescharacteristic
112C2×C32×C8C2311yescharacteristic
113C32×C42C2311yescharacteristic
114C4⋊(C3⋊Dic3)D411yescharacteristic
115#3750D411yescharacteristic
116#3750D411yescharacteristic
117C4×C3⋊Dic3C2311yescharacteristic
118C4×C3⋊Dic3C2311yescharacteristic
119C2×C3⋊(C3⋊C8)C2311yescharacteristic
120C2×C3⋊(C3⋊C8)C2311yescharacteristic
121C3×(C2×D3)⋊C4—21no—
122C3×(C2×D3)⋊C4—21no—
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4⋊Dic3C2311yescharacteristic
126C3×C4⋊Dic3C2311yescharacteristic
127C3×Dic3⋊C4—21no—
128C3×Dic3⋊C4—21no—
129C3×D24—22no—
130C3×D24—22no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138#3713—22no—
139#3366—91noSylow
140C2×#237—61no—
141C2×#235—61no—
142C2×C3×D8—31no—
143C2×C3×D8—31no—
144C3×#127—31no—
145C3×#125—31no—
146C3×C4×D4—31no—
147C3×C4×D4—31no—
148#940—31no—
149#940—31no—
150#940—31no—
151#940—31no—
152#939—61no—
153#939—61no—
154#938—61no—
155D4×Dic3—31no—
156D4×Dic3—31no—
157D4×Dic3—31no—
158D4×Dic3—31no—
159C2×#213—31no—
160C2×#213—31no—
161#930—61no—
162#924—61no—
163C2×Dic3⋊C4—61no—
164C2×D24C2×D311yescharacteristic
165C2×D24C2×D311yescharacteristic
166#897—61no—
167#896—61no—
168#896—61no—
169#893—31no—
170#893—31no—
171#893—31no—
172#893—31no—
173D3×C4⋊C4—61no—
174#890—31no—
175#890—31no—
176#888—31no—
177#888—31no—
178#884—61no—
179#884—61no—
180#878—61no—
181#878—61no—
182#874C2×D311yescharacteristic
183C4×D12C2×D311yescharacteristic
184C4×D12C2×D311yescharacteristic
185#870C2×D311yescharacteristic
186C4×Dic6—31no—
187C4×Dic6—31no—
188C4×Dic6—61no—
189C3×#107—31no—
190C3×#106—31no—
191C3×C4⋊C8—21no—
192C3×C4⋊C8C2×D311yescharacteristic
193C3×C4⋊C8C2×D311yescharacteristic
194C3×#102—31no—
195C3×#102—31no—
196C3×#102—31no—
197C3×#102—31no—
198#832—31no—
199#832—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#821C2×D311yescharacteristic
205#821C2×D311yescharacteristic
206#821C2×D311yescharacteristic
207#821C2×D311yescharacteristic
208#818C2×D311yescharacteristic
209#817C2×D311yescharacteristic
210#815—31no—
211#815—31no—
212#815—61no—
213Dic3⋊C8—31no—
214Dic3⋊C8—31no—
215Dic3⋊C8—31no—
216Dic3⋊C8—31no—
217Dic3⋊C8—61no—
218Dic3⋊C8—61no—
219C8×Dic3—31no—
220C8×Dic3—31no—
221C8×Dic3—61no—
222#809—31no—
223#809—31no—
224#809—31no—
225#809—31no—
226#809—31no—
227#809—31no—
228#808—31no—
229#808—31no—
230#803—31no—
231#803—31no—
232#803—61no—
233C22×C3×D3—21no—
234C22×C3×D3—21no—
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C2×C32×C4C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2411yescharacteristic
240C2×C3⋊Dic3C2×D411yescharacteristic
241C2×C3⋊Dic3C2×D411yescharacteristic
242C2×C3⋊Dic3C2×D411yescharacteristic
243C2×C3⋊Dic3C2×D411yescharacteristic
244#634—22no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C3×D12—21no—
250C3×D12—21no—
251C3×D12—21no—
252C3×D12—21no—
253C3×D12—21no—
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—42no—
257C3×D12—81no—
258C3×D12#4112yescomplemented
259C3×C4×D3—42no—
260C3×C4×D3—81no—
261#627—81no—
262#625—42no—
263#625—42no—
264#625—81no—
265#625—81no—
266D3×Dic3—42no—
267D3×Dic3—42no—
268D3×Dic3—42no—
269D3×Dic3—81no—
270C32×C8—21no—
271C32×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—31no—
280#478—91no—
281#476—91no—
282#459—31no—
283#459—91no—
284#459—91no—
285#446—91no—
286#442—91no—
287#442—91no—
288C4×D8—91no—
289C2×C3×D4—31no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4—61no—
295C22×C3×C4—61no—
296C22×C3×C4—61no—
297C2×#67—61no—
298C2×#67—61no—
299C2×#67—61no—
300C2×#67—61no—
301C2×#67—61no—
302C2×#67—61no—
303C2×#67—61no—
304C2×#67—61no—
305C22×Dic3—61no—
306C22×Dic3—61no—
307C22×Dic3—61no—
308C22×Dic3—61no—
309#237—124no—
310#235—124no—
311C2×D12—21no—
312C2×D12—21no—
313C2×D12C22×D311yescharacteristic
314C2×D12C22×D311yescharacteristic
315C2×D12C22×D311yescharacteristic
316C2×D12C22×D311yescharacteristic
317C2×C4×D3—21no—
318C2×C4×D3—21no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×Dic6—31no—
324C2×Dic6—31no—
325C2×Dic6—61no—
326C2×Dic6—61no—
327C2×Dic6—61no—
328C3×D8—62no—
329C3×D8—62no—
330C2×C3×C8—21no—
331C2×C3×C8—21no—
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C2×C3×C8C22×D311yescharacteristic
336C3×C4⋊C4—31no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—31no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C42—21no—
345C3×C42C22×D311yescharacteristic
346C3×C42C22×D311yescharacteristic
347#217—61no—
348#217—61no—
349#217—61no—
350#217—61no—
351#213—62no—
352#213—62no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3C22×D311yescharacteristic
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368Dic3⋊C4—21no—
369Dic3⋊C4—21no—
370Dic3⋊C4—31no—
371Dic3⋊C4—31no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380C4×Dic3—31no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8—61no—
392D24—22no—
393D24—22no—
394C22×C32C22×D411yescharacteristic
395C2×C3×D3—22no—
396C2×C3×D3—41no—
397C2×C3×D3—41no—
398C2×C3×D3—41no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C32×C4—21no—
408C32×C4—21no—
409C32×C4C2×#4111yescharacteristic
410C32×C42−1+411yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—21no—
414C3⋊Dic3AGL(1,ℤ/8)12yes—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C2×#41—181no—
420C2×D8—31no—
421C2×D8—31no—
422C2×D8—91no—
423C4⋊Q8—91no—
424#127—31no—
425#127—91no—
426#127—91no—
427#125—31no—
428#125—91no—
429C22⋊Q8—181no—
430C22⋊Q8—181no—
431C22⋊Q8—181no—
432#121—181no—
433#121—181no—
434#121—181no—
435C4×Q8—91no—
436C4×D4—31no—
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4—91no—
442C2×C4⋊C4—181no—
443#107—31no—
444#106—31no—
445#106—91no—
446C4⋊C8—91no—
447C4⋊C8—91no—
448C4⋊C8D3211yescharacteristic
449#102—31no—
450#102—31no—
451#102—31no—
452#102—31no—
453#102—91no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459#97—91no—
460#97—91no—
461C4×C8—91no—
462C23×C3—61no—
463C23×C3—61no—
464C23×C3—61no—
465C23×C3—61no—
466C22×D3—21no—
467C22×D3—21no—
468C22×D3—21no—
469C22×D3—21no—
470C3×D4—32no—
471C3×D4—61no—
472C3×D4—61no—
473C3×D4—61no—
474C3×D4—61no—
475C3×D4—61no—
476C3×D4—61no—
477C3×D4—61no—
478C3×D4—122no—
479C3×D4—241no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—122no—
488C2×C3×C4—241no—
489C2×C3×C4D3×D411yescharacteristic
490C2×C3×C4D3×D411yescharacteristic
491C2×C3×C4D3×D411yescharacteristic
492C2×C3×C4D3×D411yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494C2×C3×C4C23×D311yescharacteristic
495#67—122no—
496#67—122no—
497#67—122no—
498#67—122no—
499#67—241no—
500#67—241no—
501#67—241no—
502#67—241no—
503C2×Dic3—21no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—31no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—31no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—122no—
520C2×Dic3—122no—
521C2×Dic3—122no—
522C2×Dic3—241no—
523D12—21no—
524D12—21no—
525D12—21no—
526D12—21no—
527D12—21no—
528D12—21no—
529D12—21no—
530D12—42no—
531D12—81no—
532D12#23712yescomplemented
533C4×D3—42no—
534C4×D3—81no—
535C4×D3—122no—
536C4×D3—122no—
537C4×D3—122no—
538C4×D3—241no—
539Dic6—62no—
540Dic6—62no—
541Dic6—122no—
542Dic6—241no—
543Dic6—241no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—21no—
547C3×C8—21no—
548C3×C8—41no—
549C3×C8—41no—
550C3⋊C8—62no—
551C3⋊C8—61no—
552C3⋊C8—61no—
553C3⋊C8—61no—
554C3⋊C8—61no—
555C3⋊C8—121no—
556C2×C32#54811yescharacteristic
557C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
558C2×C32#57611yescharacteristic
559C3×D3—42no—
560C3×D3—81no—
561C3×D3—81no—
562C3×D3—81no—
563#41—364no—
564C2×Q8—91no—
565C2×Q8—181no—
566C2×D4—31no—
567C2×D4—31no—
568C2×D4—31no—
569C2×D4—31no—
570C2×D4—61no—
571C2×D4—61no—
572C2×D4—181no—
573C2×D4—181no—
574C2×D4—181no—
575C2×D4—181no—
576C22×C4—61no—
577C22×C4—61no—
578C22×C4—181no—
579C22×C4—181no—
580C22×C4—181no—
581C22×C4—181no—
582D8—62no—
583D8—62no—
584D8—182no—
585C2×C8—91no—
586C2×C8—91no—
587C2×C8C2×D3211yescharacteristic
588C2×C8C2×D3211yescharacteristic
589C4⋊C4—31no—
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—31no—
593C4⋊C4—61no—
594C4⋊C4—61no—
595C4⋊C4—91no—
596C4⋊C4—91no—
597C4⋊C4—91no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C22⋊C4—61no—
602C22⋊C4—61no—
603C22⋊C4—181no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C42—91no—
608C42—91no—
609C42C2×D3211yescharacteristic
610C22×C3—21no—
611C22×C3—62no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3—121no—
616C22×C3—121no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3C2×D3×D411yescharacteristic
624C22×C3C2×D3×D411yescharacteristic
625C2×D3—22no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—41no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4C2×#23711yescharacteristic
650C3×C4#100711yescharacteristic
651C3×C4D3×#4111yescharacteristic
652C3×C4#101011yescharacteristic
653Dic3—32no—
654Dic3—32no—
655Dic3—41no—
656Dic3—41no—
657Dic3—41no—
658Dic3—41no—
659Dic3—62no—
660Dic3—61no—
661Dic3—61no—
662Dic3—61no—
663Dic3—61no—
664Dic3—61no—
665Dic3—61no—
666Dic3—121no—
667Dic3—121no—
668Dic3—121no—
669C32#336611yescharacteristic, complemented, Sylow
670C23—61no—
671C23—61no—
672C23—61no—
673C23—61no—
674Q8—182no—
675Q8—721no—
676D4—32no—
677D4—61no—
678D4—61no—
679D4—61no—
680D4—61no—
681D4—61no—
682D4—61no—
683D4—61no—
684D4—122no—
685D4—241no—
686D4—362no—
687D4—362no—
688D4—721no—
689D4—721no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—91no—
695C2×C4—91no—
696C2×C4—91no—
697C2×C4—91no—
698C2×C4—122no—
699C2×C4—241no—
700C2×C4—362no—
701C2×C4—362no—
702C2×C4—362no—
703C2×C4—721no—
704C2×C4#380211yescharacteristic
705C2×C4#380211yescharacteristic
706C2×C4C22×D3211yescharacteristic
707C8—21no—
708C8—21no—
709C8—181no—
710C8—181no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—122no—
715C2×C3—241no—
716C2×C3—241no—
717C2×C3—241no—
718C2×C3#559811yescharacteristic
719C2×C3#563311yescharacteristic
720C2×C3#575711yescharacteristic
721C2×C3#576911yescharacteristic
722C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
723C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
724D3—42no—
725D3—81no—
726D3—81no—
727D3—81no—
728C22—62no—
729C22—121no—
730C22—121no—
731C22—121no—
732C22—121no—
733C22—121no—
734C22—121no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22C2×#380211yescharacteristic
741C4—21no—
742C4—21no—
743C4—92no—
744C4—121no—
745C4—121no—
746C4—121no—
747C4—121no—
748C4—181no—
749C4—181no—
750C4—181no—
751C4D3×#23711yescharacteristic
752C4#6431511yescharacteristic
753C3—21no—
754C3#8032111yescharacteristic, complemented
755C3#8115211yescharacteristic, complemented
756C2—122no—
757C2—241no—
758C2—241no—
759C2—241no—
760C2#1059452511yescharacteristic
761C2#1059468711yescharacteristic
762C2#1059471611yescharacteristic
subgroupG/H
centerC22C2×#3802
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
hypercenterC4⋊C8D32
hypocenterC32#3366
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. #10593941C2semidirect
2. #10593906C2semidirect
3. #10592527C2semidirect
4. C3×#4847C2semidirect
5. C3×#4843C2semidirect
6. #10590888C2semidirect
7. #10590885C2semidirect
8. #10590781C2semidirect
9. #10590780C2semidirect
10. #10590777C2semidirect
11. #10590776C2semidirect
12. #10590749C2semidirect
13. #10590749C2semidirect
14. #10590344C2semidirect
15. #10590279C2semidirect
79. #4847D3semidirect
80. #4843D3semidirect
258. C3×D12#41semidirect
532. D12#237semidirect
669. C32#3366semidirect
754. C3#80321semidirect
755. C3#81152semidirect

Maximal subgroups

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

subgroupindex
#105939412
#105939062
#105925272
C3×#48472
C3×#48432
#105908882
#105908852
#105907812
#105907802
#105907772
#105907762
#105907492
#105903442
#105902792
#811523
#803213