Finite Group Databasebeta

← #11895758

Subgroups — #11895758

Order 1152.

858 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595272C211yesmaximal, characteristic, complemented
2#10595144C211yesmaximal, characteristic, complemented
3#10592851C211yesmaximal, characteristic, complemented
4C3×#5150C211yesmaximal, characteristic, complemented
5C3×#5150C211yesmaximal, characteristic, complemented
6#10591487C211yesmaximal, characteristic, complemented
7#10591486C211yesmaximal, characteristic, complemented
8#10591479C211yesmaximal, characteristic, complemented
9#10591477C211yesmaximal, characteristic, complemented
10#10591430C211yesmaximal, characteristic, complemented
11Dic3×#213C211yesmaximal, characteristic, complemented
12#10590888C211yesmaximal, characteristic, complemented
13#10590772C211yesmaximal, characteristic, complemented
14#10590757C211yesmaximal, characteristic, complemented
15#10590646C211yesmaximal, characteristic, complemented
16#80321—31nomaximal
17#80320—31nomaximal
18C2×#3805—21no—
19C2×C32×D8C2211yescharacteristic
20D4×C3⋊Dic3C2211yescharacteristic
21D4×C3⋊Dic3C2211yescharacteristic
22C3×#940C2211yescharacteristic
23C3×#940C2211yescharacteristic
24C3×D4×Dic3C2211yescharacteristic
25C3×D4×Dic3C2211yescharacteristic
26C2×C3×#213C2211yescharacteristic
27C2×C3×#213C2211yescharacteristic
28#63982—21no—
29#63980—21no—
30#63970—21no—
31#63970—21no—
32C2×Dic3⋊Dic3—21no—
33#63964—21no—
34#63964—21no—
35#63918C2211yescharacteristic
36C4×#627C2211yescharacteristic
37#63914C2211yescharacteristic
38Dic3×D12C2211yescharacteristic
39Dic3×D12C2211yescharacteristic
40#63872C2211yescharacteristic
41#63869C2211yescharacteristic
42#63659C2211yescharacteristic
43#63659C2211yescharacteristic
44#63644C2211yescharacteristic
45#63642C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52#63575C2211yescharacteristic
53#63573C2211yescharacteristic
54#63572C2211yescharacteristic
55#63563C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5718—31no—
62#5718—31no—
63#5543—31no—
64#5539—31no—
65C3×#459—31no—
66C3×#459—31no—
67#5152—31no—
68#5152—31no—
69#5152—31no—
70#5152—61no—
71#5150—31no—
72#5150—31no—
73#5150D311yescharacteristic, complemented
74#5150D311yescharacteristic, complemented
75Dic3×D8—31no—
76#5071—31no—
77#5070—31no—
78#5014—31no—
79C4×#213—31no—
80#4847—31no—
81#4842—31no—
82#4831—31no—
83#4828—31no—
84#4766—31no—
85#4764—31no—
86#4764—31no—
87#4764—31no—
88#4763—31no—
89#4763—31no—
90#4761—31no—
91#4760—31no—
92C2×C32×D4C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C22×C3⋊Dic3—21no—
95C22×C3⋊Dic3—21no—
96C2×C3×#67—21no—
97C2×C3×#67—21no—
98C2×C3×#67—21no—
99C2×C3×#67—21no—
100C22×C3×Dic3—21no—
101C22×C3×Dic3—21no—
102C2×C3×D12C2311yescharacteristic
103C2×C3×D12C2311yescharacteristic
104C2×#627—21no—
105C2×#627D411yescharacteristic
106C2×#625—21no—
107C2×#625—21no—
108#3805—44no—
109C2×D3×Dic3—21no—
110C2×D3×Dic3—21no—
111C32×D8—22no—
112C2×C32×C8C2311yescharacteristic
113#3757—21no—
114#3757—21no—
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116C4⋊(C3⋊Dic3)C2311yescharacteristic
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C3×#217—21no—
120C3×#217—21no—
121C3×#213—22no—
122C3×#213—22no—
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(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139#3366—91noSylow
140C2×#237—61no—
141C2×#237—61no—
142C2×C3×D8—21no—
143C2×C3×D8—31no—
144C2×C3×D8—31no—
145C2×C3×D8C2×D311yescharacteristic
146C2×C3×D8C2×D311yescharacteristic
147C3×#127—31no—
148C3×#127—31no—
149C3×C4×D4—31no—
150C3×C4×D4—31no—
151#940—31no—
152#940—31no—
153#940C2×D311yescharacteristic
154#940C2×D311yescharacteristic
155#939—61no—
156#939—61no—
157#939—61no—
158#939—61no—
159#938—61no—
160#938—61no—
161D4×Dic3—31no—
162D4×Dic3—31no—
163D4×Dic3—31no—
164D4×Dic3—31no—
165D4×Dic3—31no—
166D4×Dic3—31no—
167D4×Dic3—61no—
168D4×Dic3—61no—
169D4×Dic3C2×D311yescharacteristic
170D4×Dic3C2×D311yescharacteristic
171C2×#213C2×D311yescharacteristic
172C2×#213C2×D311yescharacteristic
173C2×C4⋊Dic3—61no—
174#924—61no—
175#924—61no—
176C2×Dic3⋊C4—61no—
177#890—31no—
178#890—31no—
179#890—31no—
180#888—31no—
181#878—61no—
182#878—61no—
183#878—61no—
184#878—61no—
185C4×D12—31no—
186C4×D12—31no—
187#870—31no—
188#869—31no—
189C4×Dic6—31no—
190C4×Dic6—31no—
191C3×C4⋊C8—31no—
192C3×C4⋊C8—31no—
193C3×#102—31no—
194C3×#102—31no—
195C3×#102—31no—
196C3×#102—31no—
197#832—31no—
198#832—31no—
199#832—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#832—31no—
205#832—61no—
206#832—61no—
207#832C2×D311yescharacteristic
208#832C2×D311yescharacteristic
209#821—31no—
210#821—31no—
211#821C2×D311yescharacteristic
212#821C2×D311yescharacteristic
213#818—31no—
214#817—31no—
215#817—31no—
216#817—31no—
217#817—61no—
218#815—31no—
219#815—31no—
220#815—31no—
221#815—61no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8C2×D311yescharacteristic
225Dic3⋊C8C2×D311yescharacteristic
226C8×Dic3—31no—
227#809—31no—
228#809—31no—
229#808—31no—
230#807—31no—
231#803—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
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—42no—
245C2×C3⋊Dic3—81no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248C3×#67—42no—
249C3×#67—42no—
250C3×#67—81no—
251C3×#67—81no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—42no—
255C2×C3×Dic3—81no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C3×D12—21no—
261C3×D12—21no—
262C3×D12—21no—
263C3×D12—21no—
264#627—22no—
265#627—81no—
266#625—42no—
267#625—81no—
268D3×Dic3—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—31no—
284#459—91no—
285#446—91no—
286#442—91no—
287#442—91no—
288C4×D8—91no—
289C2×C3×D4—21no—
290C2×C3×D4—21no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4—61no—
295C2×C3×D4—61no—
296C2×C3×D4—61no—
297C2×C3×D4C22×D311yescharacteristic
298C2×C3×D4C22×D311yescharacteristic
299C2×C3×D4C22×D311yescharacteristic
300C2×C3×D4C22×D311yescharacteristic
301C22×C3×C4—61no—
302C22×C3×C4—61no—
303C2×#67—21no—
304C2×#67—21no—
305C2×#67—21no—
306C2×#67—21no—
307C2×#67—61no—
308C2×#67—61no—
309C2×#67—61no—
310C2×#67—61no—
311C22×Dic3—21no—
312C22×Dic3—21no—
313C22×Dic3—61no—
314C22×Dic3—61no—
315C22×Dic3—61no—
316C22×Dic3—61no—
317C22×Dic3—61no—
318C22×Dic3—61no—
319C22×Dic3—121no—
320C22×Dic3—121no—
321#237—124no—
322#237—124no—
323C2×D12C22×D311yescharacteristic
324C2×D12C22×D311yescharacteristic
325C2×C4×D3—61no—
326C2×C4×D3—61no—
327C2×Dic6—31no—
328C2×Dic6—31no—
329C2×Dic6—61no—
330C2×Dic6—61no—
331C3×D8—24no—
332C3×D8—22no—
333C3×D8—22no—
334C3×D8—62no—
335C3×D8—62no—
336C2×C3×C8—21no—
337C2×C3×C8—31no—
338C2×C3×C8—31no—
339C2×C3×C8C22×D311yescharacteristic
340C2×C3×C8C22×D311yescharacteristic
341C3×C4⋊C4—31no—
342C3×C4⋊C4—31no—
343C3×C22⋊C4—61no—
344C3×C22⋊C4—61no—
345C3×C42—31no—
346C3×C42—31no—
347#217—21no—
348#217—21no—
349#217—61no—
350#217—61no—
351#217—61no—
352#217—61no—
353#217—61no—
354#217—61no—
355#217—121no—
356#217—121no—
357#213—22no—
358#213—22no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—31no—
376Dic3⋊C4—31no—
377Dic3⋊C4—31no—
378Dic3⋊C4—31no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385C4×Dic3—31no—
386C4×Dic3—31no—
387C4×Dic3—61no—
388C4×Dic3C22×D311yescharacteristic
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395C22×C32—22no—
396C22×C32—41no—
397C22×C32—41no—
398C22×C32—41no—
399C22×C32—41no—
400C22×C32—41no—
401C22×C32C22×D411yescharacteristic
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C32×C4C2×#4111yescharacteristic
409C32×C42−1+411yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—21no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C3×Dic3AGL(1,ℤ/8)12yes—
420C2×#41—181no—
421C2×D8—31no—
422C2×D8—31no—
423C2×D8D3211yescharacteristic
424C4⋊Q8—91no—
425#127—31no—
426#127—31no—
427#127—91no—
428#125—91no—
429#125—91no—
430C22⋊Q8—181no—
431C22⋊Q8—181no—
432C22⋊Q8—181no—
433#121—181no—
434#121—181no—
435#121—181no—
436C4×Q8—91no—
437C4×D4—31no—
438C4×D4—31no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4—91no—
442C4×D4—91no—
443C2×C4⋊C4—181no—
444#107—91no—
445#106—91no—
446#106—91no—
447C4⋊C8—31no—
448C4⋊C8—31no—
449C4⋊C8—91no—
450#102—31no—
451#102—31no—
452#102—31no—
453#102—31no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459#102—91no—
460#97—91no—
461#97—91no—
462C4×C8—91no—
463C23×C3—21no—
464C23×C3—21no—
465C23×C3—21no—
466C23×C3—21no—
467C23×C3—41no—
468C23×C3—41no—
469C23×C3—61no—
470C23×C3—61no—
471C22×D3—21no—
472C22×D3—21no—
473C3×D4—22no—
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—61no—
484C3×D4—61no—
485C3×D4—61no—
486C3×D4—61no—
487C3×D4—122no—
488C3×D4—122no—
489C3×D4—241no—
490C3×D4—241no—
491C3×D4#23712yescomplemented
492C3×D4#23712yescomplemented
493C2×C3×C4—21no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—31no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—122no—
501C2×C3×C4—241no—
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—42no—
505#67—42no—
506#67—81no—
507#67—81no—
508#67—122no—
509#67—122no—
510#67—241no—
511#67—241no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—31no—
517C2×Dic3—31no—
518C2×Dic3—42no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—61no—
524C2×Dic3—61no—
525C2×Dic3—81no—
526C2×Dic3—121no—
527C2×Dic3—121no—
528C2×Dic3—122no—
529C2×Dic3—122no—
530C2×Dic3—122no—
531C2×Dic3—122no—
532C2×Dic3—242no—
533C2×Dic3—241no—
534C2×Dic3—241no—
535C2×Dic3—242no—
536C2×Dic3D3×D411yescharacteristic
537C2×Dic3D3×D411yescharacteristic
538C2×Dic3D3×D411yescharacteristic
539C2×Dic3D3×D411yescharacteristic
540D12—21no—
541D12—21no—
542D12—21no—
543D12—21no—
544C4×D3—122no—
545C4×D3—122no—
546Dic6—62no—
547Dic6—62no—
548Dic6—241no—
549Dic6—241no—
550C3×C8—22no—
551C3×C8—21no—
552C3×C8—21no—
553C3×C8—61no—
554C3×C8—61no—
555C3⋊C8—21no—
556C3⋊C8—21no—
557C3⋊C8—61no—
558C3⋊C8—61no—
559C3⋊C8—121no—
560C2×C32—42no—
561C2×C32—81no—
562C2×C32#54811yescharacteristic
563C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
564C2×C32#57611yescharacteristic
565C3×D3—81no—
566C3×D3—81no—
567#41—364no—
568C2×Q8—91no—
569C2×Q8—181no—
570C2×D4—31no—
571C2×D4—31no—
572C2×D4—61no—
573C2×D4—61no—
574C2×D4—61no—
575C2×D4—61no—
576C2×D4—181no—
577C2×D4—181no—
578C2×D4C2×D3211yescharacteristic
579C2×D4C2×D3211yescharacteristic
580C22×C4—61no—
581C22×C4—61no—
582C22×C4—181no—
583C22×C4—181no—
584C22×C4—181no—
585C22×C4—181no—
586D8—22no—
587D8—62no—
588D8—62no—
589C2×C8—31no—
590C2×C8—31no—
591C2×C8—91no—
592C2×C8C2×D3211yescharacteristic
593C4⋊C4—31no—
594C4⋊C4—31no—
595C4⋊C4—91no—
596C4⋊C4—91no—
597C4⋊C4—91no—
598C4⋊C4—91no—
599C4⋊C4—91no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C22⋊C4—61no—
606C22⋊C4—61no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C42—31no—
612C42—31no—
613C42—91no—
614C22×C3—22no—
615C22×C3—22no—
616C22×C3—21no—
617C22×C3—42no—
618C22×C3—42no—
619C22×C3—41no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—41no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—41no—
626C22×C3—41no—
627C22×C3—41no—
628C22×C3—41no—
629C22×C3—81no—
630C22×C3—81no—
631C22×C3—81no—
632C22×C3—81no—
633C22×C3—121no—
634C22×C3—121no—
635C22×C3—121no—
636C22×C3—121no—
637C22×C3—121no—
638C22×C3—121no—
639C22×C3C2×D3×D411yescharacteristic
640C22×C3C2×D3×D411yescharacteristic
641C2×D3—41no—
642C2×D3—41no—
643C2×D3—41no—
644C2×D3—41no—
645C2×D3—41no—
646C2×D3—41no—
647C3×C4—21no—
648C3×C4—21no—
649C3×C4—32no—
650C3×C4—61no—
651C3×C4—61no—
652C3×C4—61no—
653C3×C4—121no—
654C3×C4—121no—
655C3×C4C2×#23711yescharacteristic
656C3×C4C2×#23711yescharacteristic
657C3×C4#101011yescharacteristic
658C3×C4#101011yescharacteristic
659Dic3—21no—
660Dic3—21no—
661Dic3—21no—
662Dic3—41no—
663Dic3—41no—
664Dic3—61no—
665Dic3—61no—
666Dic3—61no—
667Dic3—61no—
668Dic3—121no—
669Dic3—121no—
670Dic3—121no—
671Dic3—121no—
672Dic3—121no—
673Dic3—121no—
674Dic3—241no—
675Dic3—241no—
676Dic3#91112yes—
677C32#336611yescharacteristic, complemented, Sylow
678C23—21no—
679C23—21no—
680C23—61no—
681C23—61no—
682Q8—182no—
683Q8—721no—
684D4—21no—
685D4—21no—
686D4—21no—
687D4—61no—
688D4—61no—
689D4—61no—
690D4—61no—
691D4—122no—
692D4—122no—
693D4—241no—
694D4—241no—
695D4—362no—
696D4—721no—
697D4#380512yescomplemented
698C2×C4—31no—
699C2×C4—31no—
700C2×C4—31no—
701C2×C4—31no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—91no—
705C2×C4—91no—
706C2×C4—122no—
707C2×C4—181no—
708C2×C4—181no—
709C2×C4—241no—
710C2×C4—362no—
711C2×C4—362no—
712C2×C4—362no—
713C2×C4—721no—
714C2×C4C22×D3211yescharacteristic
715C8—21no—
716C8—61no—
717C8—61no—
718C8—181no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—42no—
723C2×C3—42no—
724C2×C3—82no—
725C2×C3—82no—
726C2×C3—81no—
727C2×C3—81no—
728C2×C3—241no—
729C2×C3—241no—
730C2×C3#559811yescharacteristic
731C2×C3#559811yescharacteristic
732C2×C3C2×#91111yescharacteristic
733C2×C3#575711yescharacteristic
734C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
735C2×C3#577411yescharacteristic
736D3—81no—
737D3—81no—
738C22—22no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—121no—
745C22—121no—
746C22—121no—
747C22—121no—
748C22—121no—
749C22—121no—
750C22D32×D411yescharacteristic
751C4—32no—
752C4—61no—
753C4—61no—
754C4—61no—
755C4—121no—
756C4—121no—
757C4—181no—
758C4—181no—
759C4—361no—
760C4—361no—
761C4#6430911yescharacteristic
762C4C2×#380511yescharacteristic
763C3—21no—
764C3#8032011yescharacteristic, complemented
765C3#8032111yescharacteristic, complemented
766C2—42no—
767C2—81no—
768C2—241no—
769C2—241no—
770C2D3×#91111yescharacteristic
771C2#1059473211yescharacteristic
772C2#1059514211yescharacteristic
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. #10595144C2semidirect
3. #10592851C2semidirect
4. C3×#5150C2semidirect
5. C3×#5150C2semidirect
6. #10591487C2semidirect
7. #10591486C2semidirect
8. #10591479C2semidirect
9. #10591477C2semidirect
10. #10591430C2semidirect
11. Dic3×#213C2semidirect
12. #10590888C2semidirect
13. #10590772C2semidirect
14. #10590757C2semidirect
15. #10590646C2semidirect
73. #5150D3semidirect
74. #5150D3semidirect
240. C32×D4#41semidirect
491. C3×D4#237semidirect
492. C3×D4#237semidirect
677. C32#3366semidirect
697. D4#3805semidirect
764. C3#80320semidirect
765. C3#80321semidirect

Maximal subgroups

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

subgroupindex
#105952722
#105951442
#105928512
C3×#51502
#105914872
#105914862
#105914792
#105914772
#105914302
Dic3×#2132
#105908882
#105907722
#105907572
#105906462
#803213
#803203