Finite Group Databasebeta

← #11888039

Subgroups — #11888039

Order 1152.

829 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594887C211yesmaximal, characteristic
2#10594840C211yesmaximal, characteristic, complemented
3#10592815C211yesmaximal, characteristic, complemented
4C3×#5113C211yesmaximal, characteristic, complemented
5C3×C8×#67C211yesmaximal, characteristic, complemented
6#10591173C211yesmaximal, characteristic, complemented
7#10591134C211yesmaximal, characteristic, complemented
8#10590969C211yesmaximal, characteristic, complemented
9#10590954C211yesmaximal, characteristic, complemented
10#10590890C211yesmaximal, characteristic, complemented
11#10590848C211yesmaximal, characteristic, complemented
12#10590808C211yesmaximal, characteristic, complemented
13#10590762C211yesmaximal, characteristic, complemented
14#10590744C211yesmaximal, characteristic, complemented
15#10590710C211yesmaximal, characteristic, complemented
16#79442—31nomaximal
17#78849—31nomaximal
18C2×C3×#235C2211yescharacteristic
19C2×#3795C2211yescharacteristic
20C22×C32×C8C2211yescharacteristic
21#64133C2211yescharacteristic
22#64133C2211yescharacteristic
23C2×#3746C2211yescharacteristic
24C3×C4×#67C2211yescharacteristic
25C3×#926C2211yescharacteristic
26C2×C3×D3×C8C2211yescharacteristic
27#63970—21no—
28#63969—21no—
29#63959—21no—
30#63956—21no—
31#63918C2211yescharacteristic
32#63905—21no—
33Dic3×D12C2211yescharacteristic
34D3×Dic3⋊C4—21no—
35#63866C2211yescharacteristic
36#63859—21no—
37#63857C2211yescharacteristic
38#63856C2211yescharacteristic
39#63844C2211yescharacteristic
40#63841C2211yescharacteristic
41#63837—21no—
42C2×#3719C2211yescharacteristic
43C2×#3716C2211yescharacteristic
44#63645C2211yescharacteristic
45#63643C2211yescharacteristic
46#63643C2211yescharacteristic
47C3×#830C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×Dic3⋊C8C2211yescharacteristic
54C3×C8×Dic3C2211yescharacteristic
55#63575C2211yescharacteristic
56#63573C2211yescharacteristic
57#63567C2211yescharacteristic
58#63567C2211yescharacteristic
59#63566C2211yescharacteristic
60#63563C2211yescharacteristic
61#5824—31no—
62#5551—31no—
63#5542—31no—
64#5533—31no—
65C3×C8×D4—31no—
66C3×#416—31no—
67#5239—31no—
68#5116—31no—
69#5116—31no—
70#5116—31no—
71#5116—61no—
72#5113—31no—
73#5113D311yescharacteristic, complemented
74C8×#67D311yescharacteristic, complemented
75#4996—31no—
76#4849—31no—
77#4846—31no—
78#4814—31no—
79#4813—31no—
80#4795—31no—
81#4792—31no—
82#4783—31no—
83#4772—31no—
84#4759—31no—
85#4758—31no—
86#4733—31no—
87#4733—31no—
88#4723—31no—
89#4723—31no—
90C4×#204—31no—
91#4681—31no—
92C22×C32×C4C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×#67—21no—
96C2×C3×#67D411yescharacteristic
97C3×#235—22no—
98C3×#235—41no—
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×#627—21no—
104C2×#625—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107#3795—22no—
108#3795—41no—
109C2×C32×C8—41no—
110C2×C32×C8C2311yescharacteristic
111C2×C32×C8C2311yescharacteristic
112#3757—21no—
113#3757—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116#3750—21no—
117#3750—21no—
118#3746—41no—
119C3×#217—21no—
120C3×#217D411yescharacteristic
121C3×(C2×D3)⋊C4D411yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4D411yescharacteristic
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×D3×C8—41no—
130#3724—21no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140Dic32—21no—
141Dic32—21no—
142#3719—41no—
143#3716—22no—
144#3302—91noSylow
145C2×C3×#41—31no—
146C2×#237—31no—
147C2×#235—31no—
148C2×#235C2×D311yescharacteristic
149C22×C3×C8—21no—
150C22×C3×C8—31no—
151C22×C3×C8C2×D311yescharacteristic
152C22×C3×C8C2×D311yescharacteristic
153C3×C4×D4—31no—
154C3×#117—31no—
155#946—31no—
156#944—31no—
157C2×#216—31no—
158#939—61no—
159#938—61no—
160#936—61no—
161#935—61no—
162D4×Dic3—31no—
163C2×#214—31no—
164#929—61no—
165C4×#67C2×D311yescharacteristic
166#926—31no—
167#926C2×D311yescharacteristic
168#924—31no—
169#924—31no—
170#924—31no—
171#924—31no—
172#924—31no—
173#924—31no—
174#924—61no—
175#924—61no—
176C2×Dic3⋊C4—61no—
177C2×Dic12—31no—
178C2×Dic12—31no—
179C2×Dic12—31no—
180C2×Dic12—61no—
181C2×#204—31no—
182C2×D3×C8C2×D311yescharacteristic
183#897—31no—
184#892—31no—
185D3×C4⋊C4—61no—
186#888—31no—
187#887—31no—
188#887—61no—
189#885—61no—
190#883—61no—
191#883—61no—
192#879—61no—
193#879—61no—
194#879—61no—
195#876—61no—
196C4×D12—31no—
197#869—31no—
198#869—31no—
199C4×Dic6—31no—
200C4×Dic6—61no—
201C3×C4⋊C8—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#102—31no—
205C3×#102—31no—
206C3×C22⋊C8—31no—
207C3×C22⋊C8—31no—
208C3×C4×C8—31no—
209#835—31no—
210#832—31no—
211#830C2×D311yescharacteristic
212#821—31no—
213#821C2×D311yescharacteristic
214#821C2×D311yescharacteristic
215(C2×D3)⋊C8C2×D311yescharacteristic
216#818—31no—
217#818—31no—
218#818—31no—
219#818—61no—
220#817—31no—
221#816—31no—
222#816—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—31no—
227#816—31no—
228#816—61no—
229#816—61no—
230#816C2×D311yescharacteristic
231#816C2×D311yescharacteristic
232Dic3⋊C8C2×D311yescharacteristic
233C8×Dic3C2×D311yescharacteristic
234#810—31no—
235#810—31no—
236#808—31no—
237#807—31no—
238C23×C32C2×D411yescharacteristic
239C22×C3×D3—21no—
240C22×C3×D3C2×D411yescharacteristic
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3—21no—
249#634—21no—
250#634—21no—
251#634—21no—
252#634—21no—
253C3×#67—22no—
254C3×#67—42no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C3×D12—21no—
262C3×D12#4112yes—
263C3×C4×D3—21no—
264C3×C4×D3—21no—
265C3×C4×D3—42no—
266C3×Dic6—21no—
267C3×Dic6—21no—
268#627—42no—
269#625—42no—
270D3×Dic3—42no—
271D3×Dic3—42no—
272C32×C8—21no—
273C32×C8—21no—
274C3×C3⋊C8—21no—
275C3×C3⋊C8—21no—
276#556—91no—
277#547—91no—
278#487—91no—
279#485—91no—
280#485—91no—
281#474—91no—
282#467—91no—
283#467—91no—
284#462—91no—
285#452—91no—
286#452—91no—
287C4×SD16—91no—
288C8×D4—31no—
289#416—31no—
290#416—91no—
291C3×#41—62no—
292C3×#41—121no—
293C2×C3×Q8—31no—
294C2×C3×D4—31no—
295C2×C3×D4—31no—
296C2×C3×D4—61no—
297C22×C3×C4—21no—
298C22×C3×C4—31no—
299C22×C3×C4—61no—
300C22×C3×C4C22×D311yescharacteristic
301C22×C3×C4C22×D311yescharacteristic
302C2×#67—21no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67D1211yescharacteristic
306C22×Dic3—61no—
307C22×Dic3—61no—
308#237—62no—
309#237—121no—
310#235—22no—
311#235—41no—
312#235—62no—
313#235—121no—
314C2×D12C22×D311yescharacteristic
315C2×C4×D3—21no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3C22×D311yescharacteristic
319C2×Dic6—31no—
320C2×Dic6—31no—
321C2×Dic6—31no—
322C2×Dic6—31no—
323C2×Dic6—61no—
324C2×Dic6—61no—
325C2×Dic6—61no—
326C2×Dic6—61no—
327C2×Dic6C22×D311yescharacteristic
328C2×C3×C8—21no—
329C2×C3×C8—21no—
330C2×C3×C8—31no—
331C2×C3×C8—31no—
332C2×C3×C8—41no—
333C2×C3×C8—41no—
334C2×C3×C8—42no—
335C2×C3×C8—121no—
336C2×C3×C8C22×D311yescharacteristic
337C2×C3×C8C22×D311yescharacteristic
338C2×C3×C8C22×D311yescharacteristic
339C2×C3×C8C22×D311yescharacteristic
340C3×C4⋊C4—31no—
341C3×C4⋊C4—31no—
342C3×C4⋊C4—31no—
343C3×C22⋊C4—31no—
344C3×C22⋊C4—31no—
345C3×C22⋊C4—61no—
346C3×C42—31no—
347C3×C42—61no—
348#217—21no—
349#217—61no—
350#217—61no—
351#217—61no—
352#217—61no—
353#217—61no—
354#217—61no—
355#217—61no—
356#217—61no—
357#217—121no—
358#217—121no—
359#217D1211yescharacteristic
360#216—121no—
361#214—62no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4D1211yescharacteristic
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—31no—
370C4⋊Dic3—31no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3C22×D311yescharacteristic
378C4⋊Dic3C22×D311yescharacteristic
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390Dic3⋊C4—61no—
391Dic3⋊C4—121no—
392Dic3⋊C4—121no—
393Dic3⋊C4D1211yescharacteristic
394C4×Dic3—21no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3—61no—
399C4×Dic3C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402Dic12—121no—
403Dic12—121no—
404Dic12—122no—
405Dic12—121no—
406#204—62no—
407D3×C8—41no—
408C22×C32—21no—
409C22×C32—21no—
410C22×C32—21no—
411C22×C32C22×D411yescharacteristic
412C2×C3×D3—22no—
413C2×C3×D3—21no—
414C2×C3×D3—21no—
415C2×C3×D3—21no—
416C2×C3×D3—41no—
417C2×C3×D3—41no—
418C32×C4—21no—
419C32×C4C2×#4111yescharacteristic
420C32×C4H(5,𝔽2)11yescharacteristic
421C3⋊Dic3—41no—
422C3⋊Dic3—41no—
423C3⋊Dic3—41no—
424C3⋊Dic3—41no—
425C3×Dic3—21no—
426C3×Dic3—21no—
427C3×Dic3—41no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C3×Dic3#13512yes—
431C2×#41—31no—
432C2×#41—91no—
433C2×Q16—91no—
434C2×Q16—91no—
435C2×SD16—91no—
436C22×C8—31no—
437C22×C8D3211yescharacteristic
438C4⋊Q8—91no—
439C4⋊Q8—91no—
440#126—181no—
441#126—181no—
442#124—181no—
443#123—181no—
444#123—181no—
445C22⋊Q8—91no—
446C22⋊Q8—91no—
447C22⋊Q8—91no—
448C22⋊Q8—91no—
449#121—181no—
450C4×Q8—91no—
451C4×Q8—181no—
452C4×D4—31no—
453C4×D4—91no—
454#117—31no—
455#117—91no—
456C2×C4⋊C4—181no—
457#107—91no—
458#107—91no—
459#106—91no—
460C4⋊C8—31no—
461#103—31no—
462#103—31no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103—91no—
468#102—31no—
469#102—31no—
470#102—91no—
471C22⋊C8—31no—
472C22⋊C8—31no—
473C4×C8—31no—
474C23×C3—21no—
475C23×C3—31no—
476C23×C3—61no—
477C23×C3C2×D1211yescharacteristic
478C23×C3D3×D411yescharacteristic
479C22×D3—21no—
480C22×D3C2×D1211yescharacteristic
481C3×Q8—61no—
482C3×Q8—61no—
483C3×D4—32no—
484C3×D4—62no—
485C3×D4—61no—
486C3×D4—122no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—41no—
497C2×C3×C4—41no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—122no—
504C2×C3×C4C2×D1211yescharacteristic
505C2×C3×C4D3×D411yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508#67—22no—
509#67—42no—
510#67—122no—
511#67—122no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—121no—
524C2×Dic3—121no—
525C2×Dic3—121no—
526C2×Dic3—121no—
527C2×Dic3—122no—
528C2×Dic3—122no—
529C2×Dic3C2×D1211yescharacteristic
530C2×Dic3C2×D1211yescharacteristic
531C2×Dic3C2×D1211yescharacteristic
532D12—21no—
533D12#23512yes—
534C4×D3—21no—
535C4×D3—21no—
536C4×D3—42no—
537C4×D3—122no—
538C4×D3—122no—
539Dic6—21no—
540Dic6—21no—
541Dic6—61no—
542Dic6—61no—
543Dic6—61no—
544Dic6—61no—
545Dic6—61no—
546Dic6—61no—
547Dic6—61no—
548Dic6—61no—
549Dic6—121no—
550Dic6—121no—
551Dic6—121no—
552Dic6—121no—
553Dic6—122no—
554Dic6—122no—
555C3×C8—22no—
556C3×C8—21no—
557C3×C8—21no—
558C3×C8—21no—
559C3×C8—21no—
560C3×C8—41no—
561C3×C8—61no—
562C3×C8—61no—
563C3⋊C8—21no—
564C3⋊C8—21no—
565C2×C32—41no—
566C2×C32#54611yescharacteristic
567C2×C32C2×#13511yescharacteristic
568C2×C32#57811yescharacteristic
569C3×D3—41no—
570C3×D3—42no—
571#41—62no—
572#41—121no—
573#41—182no—
574#41—361no—
575C2×Q8—31no—
576C2×Q8—91no—
577C2×Q8—91no—
578C2×Q8—181no—
579C2×D4—31no—
580C2×D4—31no—
581C2×D4—61no—
582C2×D4—181no—
583C22×C4—31no—
584C22×C4—61no—
585C22×C4—181no—
586C22×C4—181no—
587C22×C4C2×D3211yescharacteristic
588Q16—361no—
589Q16—361no—
590SD16—182no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—41no—
594C2×C8—121no—
595C2×C8C2×D3211yescharacteristic
596C2×C8C2×D3211yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—31no—
600C4⋊C4—91no—
601C4⋊C4—91no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4—181no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C4⋊C4—181no—
610C22⋊C4—31no—
611C22⋊C4—31no—
612C22⋊C4—61no—
613C22⋊C4—181no—
614C22⋊C4—181no—
615C22⋊C4—181no—
616C22⋊C4—181no—
617C22⋊C4—181no—
618C22⋊C4—181no—
619C42—31no—
620C42—61no—
621C42—181no—
622C42—181no—
623C22×C3—22no—
624C22×C3—21no—
625C22×C3—21no—
626C22×C3—21no—
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—21no—
631C22×C3—41no—
632C22×C3—41no—
633C22×C3—61no—
634C22×C3—61no—
635C22×C3—61no—
636C22×C3—62no—
637C22×C3—121no—
638C22×C3—121no—
639C22×C3C22×D1211yescharacteristic
640C22×C3C2×D3×D411yescharacteristic
641C2×D3—21no—
642C2×D3—22no—
643C2×D3—21no—
644C2×D3—21no—
645C2×D3—41no—
646C2×D3—41no—
647C3×C4—21no—
648C3×C4—21no—
649C3×C4—21no—
650C3×C4—21no—
651C3×C4—32no—
652C3×C4—41no—
653C3×C4—61no—
654C3×C4—61no—
655C3×C4—121no—
656C3×C4—121no—
657C3×C4—121no—
658C3×C4C2×#23511yescharacteristic
659C3×C4#100411yescharacteristic
660C3×C4#100411yescharacteristic
661C3×C4D3×#4111yescharacteristic
662Dic3—21no—
663Dic3—21no—
664Dic3—41no—
665Dic3—41no—
666Dic3—41no—
667Dic3—121no—
668Dic3—121no—
669Dic3—121no—
670Dic3—121no—
671Dic3—121no—
672Dic3—121no—
673Dic3—121no—
674Dic3—121no—
675Dic3—241no—
676Dic3—241no—
677Dic3—241no—
678Dic3—241no—
679Dic3#90412yes—
680C32#330211yescharacteristic, complemented, Sylow
681C23—31no—
682C23—61no—
683C23D3×D1211yescharacteristic
684Q8—61no—
685Q8—61no—
686Q8—181no—
687Q8—181no—
688Q8—181no—
689Q8—181no—
690Q8—362no—
691D4—32no—
692D4—62no—
693D4—61no—
694D4—122no—
695D4—362no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—31no—
699C2×C4—31no—
700C2×C4—31no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—61no—
705C2×C4—61no—
706C2×C4—122no—
707C2×C4—181no—
708C2×C4—181no—
709C2×C4—181no—
710C2×C4—181no—
711C2×C4—362no—
712C2×C4—362no—
713C2×C4D3×D1211yescharacteristic
714C2×C4C22×D3211yescharacteristic
715C8—21no—
716C8—21no—
717C8—61no—
718C8—61no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—42no—
723C2×C3—41no—
724C2×C3—41no—
725C2×C3—121no—
726C2×C3—122no—
727C2×C3#549011yescharacteristic
728C2×C3#555411yescharacteristic
729C2×C3C2×#90411yescharacteristic
730C2×C3#575311yescharacteristic
731C2×C3D3×#13511yescharacteristic
732C2×C3#577111yescharacteristic
733D3—42no—
734D3—41no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—61no—
739C22—62no—
740C22—61no—
741C22—61no—
742C22—121no—
743C22—121no—
744C22C2×D3×D1211yescharacteristic
745C4—21no—
746C4—32no—
747C4—61no—
748C4—61no—
749C4—121no—
750C4—121no—
751C4—121no—
752C4—361no—
753C4—361no—
754C4—361no—
755C4—361no—
756C4D3×#23511yescharacteristic
757C4#6433011yescharacteristic
758C3—21no—
759C3#7884911yescharacteristic, complemented
760C3#7944211yescharacteristic, complemented
761C2—41no—
762C2—121no—
763C2—122no—
764C2D3×#90411yescharacteristic
765C2#1059469211yescharacteristic
766C2#1059507311yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×C8C22
socleC22×C32C22×D4
prime radical#10594887C2
hypercenterC22×C8D32
hypocenterC32#3302
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
2. #10594840C2semidirect
3. #10592815C2semidirect
4. C3×#5113C2semidirect
5. C3×C8×#67C2semidirect
6. #10591173C2semidirect
7. #10591134C2semidirect
8. #10590969C2semidirect
9. #10590954C2semidirect
10. #10590890C2semidirect
11. #10590848C2semidirect
12. #10590808C2semidirect
13. #10590762C2semidirect
14. #10590744C2semidirect
15. #10590710C2semidirect
73. #5113D3semidirect
74. C8×#67D3semidirect
680. C32#3302semidirect
759. C3#78849semidirect
760. C3#79442semidirect

Maximal subgroups

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

subgroupindex
#105948872
#105948402
#105928152
C3×#51132
C3×C8×#672
#105911732
#105911342
#105909692
#105909542
#105908902
#105908482
#105908082
#105907622
#105907442
#105907102
#794423
#788493