Finite Group Databasebeta

← #11872956

Subgroups — #11872956

Order 1152.

823 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593983C211yesmaximal, characteristic, complemented
2#10593887C211yesmaximal, characteristic, complemented
3C4×#3746C211yesmaximal, characteristic, complemented
4C3×C4×D24C211yesmaximal, characteristic, complemented
5C3×#4690C211yesmaximal, characteristic, complemented
6#10590969C211yesmaximal, characteristic, complemented
7#10590962C211yesmaximal, characteristic
8#10590861C211yesmaximal, characteristic, complemented
9#10590805C211yesmaximal, characteristic, complemented
10#10590762C211yesmaximal, characteristic, complemented
11#10590755C211yesmaximal, characteristic, complemented
12#10590684C211yesmaximal, characteristic, complemented
13#10590680C211yesmaximal, characteristic, complemented
14#10590360C211yesmaximal, characteristic, complemented
15#10590360C211yesmaximal, characteristic, complemented
16#79597—31nomaximal
17#79388—31nomaximal
18C2×#3795C2211yescharacteristic
19C2×#3746C2211yescharacteristic
20C4×#634C2211yescharacteristic
21C4×#634C2211yescharacteristic
22C2×C3×D24C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×C4×D12C2211yescharacteristic
25C3×#872C2211yescharacteristic
26#63918C2211yescharacteristic
27#63915—21no—
28#63908C2211yescharacteristic
29#63905—21no—
30#63902—21no—
31Dic3×D12C2211yescharacteristic
32D3×C4⋊Dic3C2211yescharacteristic
33#63879—21no—
34#63878—21no—
35D3×Dic3⋊C4—21no—
36#63862—21no—
37#63860C2211yescharacteristic
38#63857C2211yescharacteristic
39#63851—21no—
40#63844C2211yescharacteristic
41C2×#3716C2211yescharacteristic
42C2×#3716C2211yescharacteristic
43C32×C4×C8C2211yescharacteristic
44#63645C2211yescharacteristic
45#63643C2211yescharacteristic
46#63643C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#818C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53C3×Dic3⋊C8C2211yescharacteristic
54C3×#803C2211yescharacteristic
55#63575C2211yescharacteristic
56#63575C2211yescharacteristic
57#63567C2211yescharacteristic
58#63567C2211yescharacteristic
59#63563C2211yescharacteristic
60#63563C2211yescharacteristic
61#5561—31no—
62#5546—31no—
63#5534—31no—
64#5523—31no—
65C3×C4×D8—31no—
66C3×#433—31no—
67#5158—31no—
68#5153—31no—
69#5018—31no—
70#5018—31no—
71#4884—31no—
72#4875—31no—
73#4850—31no—
74#4846—31no—
75#4845—31no—
76#4844—31no—
77#4783—31no—
78#4774—31no—
79#4767—31no—
80#4759—31no—
81#4736—31no—
82#4734—31no—
83#4733—31no—
84#4722—31no—
85#4710—31no—
86#4710—31no—
87C4×Dic12—31no—
88C4×Dic12—31no—
89C4×Dic12—61no—
90C4×D24D311yescharacteristic, complemented
91#4690D311yescharacteristic, complemented
92C2×#634C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×D12C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×#627—21no—
100C2×#625—21no—
101C2×#625—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105#3795—22no—
106#3795—22no—
107C2×C32×C8C2311yescharacteristic
108C2×C32×C8C2311yescharacteristic
109C32×C42C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113#3750—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3—21no—
116#3746—22no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4D411yescharacteristic
120C3×(C2×D3)⋊C4D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4D411yescharacteristic
124C3×Dic3⋊C4D411yescharacteristic
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×D24—22no—
129#3724—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3716—22no—
140#3716—22no—
141#3124—91noSylow
142C2×#237—31no—
143C2×#235—31no—
144C2×C3×D8—31no—
145C3×C4×D4—31no—
146C3×C4×D4—31no—
147C3×#117—31no—
148#938—31no—
149#936—31no—
150D4×Dic3—31no—
151C2×#214—31no—
152C2×#214—31no—
153#930—31no—
154#929—61no—
155C4×#67—61no—
156C2×C4⋊Dic3—31no—
157#924—31no—
158#924—61no—
159C2×Dic3⋊C4—61no—
160C2×Dic12—31no—
161C2×Dic12—31no—
162C2×Dic12—61no—
163C2×D24C2×D311yescharacteristic
164C2×#204—31no—
165C2×#204—31no—
166#898—61no—
167#897—31no—
168#896—61no—
169#892—61no—
170D3×C4⋊C4—31no—
171D3×C4⋊C4—61no—
172#888—31no—
173#887—31no—
174#885—61no—
175#885—61no—
176#883—61no—
177#67⋊C4—61no—
178#67⋊C4—61no—
179#67⋊C4—61no—
180#879—61no—
181#877—61no—
182#875—31no—
183C4×D12—31no—
184C4×D12C2×D311yescharacteristic
185C4×D12C2×D311yescharacteristic
186#872C2×D311yescharacteristic
187#869—31no—
188C4×Dic6—31no—
189C4×Dic6—31no—
190C4×Dic6—31no—
191C4×Dic6—31no—
192C4×Dic6—31no—
193C4×Dic6—61no—
194C4×Dic6—61no—
195C3×#107—31no—
196C3×C4⋊C8—31no—
197C3×C4⋊C8—31no—
198C3×#102—31no—
199C3×#102—31no—
200C3×C22⋊C8—31no—
201C3×C22⋊C8—31no—
202C3×#97—31no—
203C3×C4×C8—21no—
204C3×C4×C8C2×D311yescharacteristic
205C3×C4×C8C2×D311yescharacteristic
206#832—31no—
207#832—31no—
208#821—31no—
209#821—31no—
210#821C2×D311yescharacteristic
211#821C2×D311yescharacteristic
212(C2×D3)⋊C8C2×D311yescharacteristic
213(C2×D3)⋊C8C2×D311yescharacteristic
214#818—31no—
215#818—31no—
216#818—31no—
217#818—31no—
218#818—61no—
219#818C2×D311yescharacteristic
220#816—31no—
221#816—31no—
222#816—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—61no—
227#816—61no—
228Dic3⋊C8C2×D311yescharacteristic
229Dic3⋊C8C2×D311yescharacteristic
230#810—31no—
231#810—31no—
232#807—31no—
233#807—31no—
234#803C2×D311yescharacteristic
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245#634—21no—
246#634—21no—
247#634—21no—
248#634#4112yes—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12#4112yes—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—81no—
261C3×C4×D3—81no—
262#627—81no—
263#625—24no—
264#625—81no—
265D3×Dic3—24no—
266D3×Dic3—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C32×C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#542—91no—
273#520—91no—
274#484—91no—
275#480—91no—
276#477—91no—
277#474—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—31no—
286#433—31no—
287C2×C3×D4—31no—
288C2×C3×D4—31no—
289C22×C3×C4—31no—
290C22×C3×C4—61no—
291C22×C3×C4—61no—
292C2×#67—61no—
293C2×#67—61no—
294C2×#67—61no—
295C2×#67—61no—
296C22×Dic3—61no—
297C22×Dic3—61no—
298C22×Dic3—61no—
299#237—62no—
300#237—62no—
301#235—62no—
302#235—62no—
303C2×D12C22×D311yescharacteristic
304C2×D12C22×D311yescharacteristic
305C2×C4×D3—21no—
306C2×C4×D3—21no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3C22×D311yescharacteristic
311C2×Dic6—31no—
312C2×Dic6—31no—
313C2×Dic6—31no—
314C2×Dic6—31no—
315C2×Dic6—61no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C3×D8—62no—
320C2×C3×C8—21no—
321C2×C3×C8—21no—
322C2×C3×C8—31no—
323C2×C3×C8—31no—
324C2×C3×C8C22×D311yescharacteristic
325C2×C3×C8C22×D311yescharacteristic
326C2×C3×C8C22×D311yescharacteristic
327C2×C3×C8C22×D311yescharacteristic
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C22⋊C4—31no—
333C3×C22⋊C4—31no—
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C42—21no—
337C3×C42—31no—
338C3×C42C22×D311yescharacteristic
339C3×C42C22×D311yescharacteristic
340#217—61no—
341#217—61no—
342#217—61no—
343#217—61no—
344#217—61no—
345#214—62no—
346#214—62no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4D1211yescharacteristic
355(C2×D3)⋊C4D1211yescharacteristic
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—121no—
377Dic3⋊C4—121no—
378Dic3⋊C4D1211yescharacteristic
379Dic3⋊C4D1211yescharacteristic
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—121no—
387C4×Dic3—121no—
388C4×Dic3C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391Dic12—62no—
392Dic12—62no—
393Dic12—64no—
394D24—22no—
395#204—62no—
396#204—62no—
397C22×C32C22×D411yescharacteristic
398C2×C3×D3—22no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—21no—
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×C4C2×#4111yescharacteristic
411C3⋊Dic3—22no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3⋊Dic3—41no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C2×#41—91no—
421C2×Q16—91no—
422C2×SD16—91no—
423C2×SD16—91no—
424C2×D8—31no—
425C4⋊Q8—91no—
426#126—181no—
427#124—91no—
428#124—181no—
429#123—181no—
430C22⋊Q8—91no—
431C22⋊Q8—181no—
432#121—91no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×Q8—91no—
436C4×D4—31no—
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—181no—
440C4×D4—181no—
441#117—31no—
442#117—181no—
443C2×C4⋊C4—91no—
444C2×C4⋊C4—181no—
445#107—31no—
446#107—91no—
447#107—91no—
448#107—91no—
449C4⋊C8—31no—
450C4⋊C8—31no—
451#103—91no—
452#103—91no—
453#103—91no—
454#103—91no—
455#102—31no—
456#102—31no—
457#102—91no—
458#102—91no—
459C22⋊C8—31no—
460C22⋊C8—31no—
461#97—31no—
462C4×C8D3211yescharacteristic
463C23×C3—31no—
464C23×C3—61no—
465C23×C3—61no—
466C22×D3—21no—
467C22×D3—21no—
468C22×D3C2×D1211yescharacteristic
469C3×D4—32no—
470C3×D4—61no—
471C3×D4—61no—
472C3×D4—61no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—31no—
477C2×C3×C4—31no—
478C2×C3×C4—31no—
479C2×C3×C4—61no—
480C2×C3×C4—61no—
481C2×C3×C4—61no—
482C2×C3×C4—61no—
483C2×C3×C4—241no—
484C2×C3×C4—241no—
485C2×C3×C4C2×D1211yescharacteristic
486C2×C3×C4C2×D1211yescharacteristic
487C2×C3×C4D3×D411yescharacteristic
488C2×C3×C4D3×D411yescharacteristic
489C2×C3×C4C23×D311yescharacteristic
490C2×C3×C4C23×D311yescharacteristic
491#67—64no—
492#67—64no—
493#67—241no—
494#67—241no—
495C2×Dic3—21no—
496C2×Dic3—21no—
497C2×Dic3—64no—
498C2×Dic3—61no—
499C2×Dic3—61no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—121no—
507C2×Dic3—121no—
508C2×Dic3—121no—
509C2×Dic3—121no—
510C2×Dic3—241no—
511C2×Dic3—241no—
512C2×Dic3C2×D1211yescharacteristic
513C2×Dic3C2×D1211yescharacteristic
514C2×Dic3C2×D1211yescharacteristic
515D12—21no—
516D12—21no—
517D12—21no—
518D12#23512yes—
519C4×D3—21no—
520C4×D3—21no—
521C4×D3—64no—
522C4×D3—81no—
523C4×D3—81no—
524C4×D3—241no—
525C4×D3—241no—
526Dic6—32no—
527Dic6—32no—
528Dic6—62no—
529Dic6—61no—
530Dic6—61no—
531Dic6—62no—
532Dic6—61no—
533Dic6—61no—
534Dic6—61no—
535Dic6—61no—
536Dic6—121no—
537Dic6—121no—
538Dic6—241no—
539Dic6—241no—
540C3×C8—22no—
541C3×C8—21no—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—21no—
545C3×C8—41no—
546C3×C8—61no—
547C3×C8—61no—
548C3⋊C8—21no—
549C3⋊C8—21no—
550C2×C32#52511yescharacteristic
551C2×C32#57611yescharacteristic
552C2×C32#57811yescharacteristic
553C3×D3—41no—
554C3×D3—42no—
555C3×D3—81no—
556#41—182no—
557#41—182no—
558C2×Q8—91no—
559C2×Q8—91no—
560C2×Q8—181no—
561C2×D4—31no—
562C2×D4—31no—
563C2×D4—181no—
564C2×D4—181no—
565C22×C4—31no—
566C22×C4—61no—
567C22×C4—61no—
568C22×C4—181no—
569C22×C4—181no—
570C22×C4—181no—
571Q16—182no—
572SD16—182no—
573SD16—182no—
574D8—62no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8C2×D3211yescharacteristic
578C2×C8C2×D3211yescharacteristic
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—91no—
584C4⋊C4—91no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C22⋊C4—31no—
592C22⋊C4—31no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C42—31no—
601C42—181no—
602C42—181no—
603C42—181no—
604C42C2×D3211yescharacteristic
605C22×C3—21no—
606C22×C3—61no—
607C22×C3—61no—
608C22×C3—62no—
609C22×C3—61no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3C22×D1211yescharacteristic
616C22×C3C2×D3×D411yescharacteristic
617C2×D3—21no—
618C2×D3—21no—
619C2×D3—21no—
620C2×D3—22no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—41no—
626C3×C4—22no—
627C3×C4—21no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—41no—
634C3×C4—61no—
635C3×C4—61no—
636C3×C4—61no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4C2×#23511yescharacteristic
640C3×C4D3×#4111yescharacteristic
641C3×C4D3×#4111yescharacteristic
642C3×C4D3×#4111yescharacteristic
643Dic3—21no—
644Dic3—21no—
645Dic3—21no—
646Dic3—41no—
647Dic3—41no—
648Dic3—62no—
649Dic3—62no—
650Dic3—122no—
651Dic3—122no—
652Dic3—121no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—241no—
659Dic3—241no—
660C32#312411yescharacteristic, complemented, Sylow
661C23—31no—
662C23—61no—
663C23—61no—
664Q8—92no—
665Q8—181no—
666Q8—181no—
667Q8—181no—
668Q8—721no—
669D4—32no—
670D4—61no—
671D4—61no—
672D4—61no—
673D4—184no—
674D4—721no—
675C2×C4—31no—
676C2×C4—31no—
677C2×C4—31no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—184no—
683C2×C4—181no—
684C2×C4—181no—
685C2×C4—181no—
686C2×C4—181no—
687C2×C4—241no—
688C2×C4—241no—
689C2×C4—721no—
690C2×C4—721no—
691C2×C4D3×D1211yescharacteristic
692C2×C4D3×D1211yescharacteristic
693C2×C4C22×D3211yescharacteristic
694C8—21no—
695C8—21no—
696C8—61no—
697C8—61no—
698C2×C3—21no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—122no—
702C2×C3—121no—
703C2×C3—241no—
704C2×C3#552411yescharacteristic
705C2×C3#554711yescharacteristic
706C2×C3#575211yescharacteristic
707C2×C3#575311yescharacteristic
708C2×C3#575711yescharacteristic
709C2×C3#577111yescharacteristic
710D3—41no—
711D3—42no—
712D3—81no—
713C22—61no—
714C22—61no—
715C22—61no—
716C22—62no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22—121no—
722C22C2×D3×D1211yescharacteristic
723C4—21no—
724C4—21no—
725C4—61no—
726C4—61no—
727C4—61no—
728C4—121no—
729C4—121no—
730C4—182no—
731C4—361no—
732C4—361no—
733C4—361no—
734C4D3×#23511yescharacteristic
735C4#6430611yescharacteristic
736C3—21no—
737C3#7938811yescharacteristic, complemented
738C3#7959711yescharacteristic, complemented
739C2—121no—
740C2—122no—
741C2—241no—
742C2#1059399711yescharacteristic
743C2#1059467811yescharacteristic
744C2#1059469211yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×C8C22
socleC22×C32C22×D4
prime radical#10590962C2
hypercenterC4×C8D32
hypocenterC32#3124
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. #10593983C2semidirect
2. #10593887C2semidirect
3. C4×#3746C2semidirect
4. C3×C4×D24C2semidirect
5. C3×#4690C2semidirect
6. #10590969C2semidirect
8. #10590861C2semidirect
9. #10590805C2semidirect
10. #10590762C2semidirect
11. #10590755C2semidirect
12. #10590684C2semidirect
13. #10590680C2semidirect
14. #10590360C2semidirect
15. #10590360C2semidirect
90. C4×D24D3semidirect
91. #4690D3semidirect
660. C32#3124semidirect
737. C3#79388semidirect
738. C3#79597semidirect

Maximal subgroups

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

subgroupindex
#105939832
#105938872
C4×#37462
C3×C4×D242
C3×#46902
#105909692
#105909622
#105908612
#105908052
#105907622
#105907552
#105906842
#105906802
#105903602
#795973
#793883