Finite Group Databasebeta

← #11873016

Subgroups — #11873016

Order 1152.

825 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594361C211yesmaximal, characteristic, complemented
2#10594352C211yesmaximal, characteristic, complemented
3#10592581C211yesmaximal, characteristic, complemented
4C3×#4890C211yesmaximal, characteristic, complemented
5C3×#4873C211yesmaximal, characteristic, complemented
6#10590965C211yesmaximal, characteristic, complemented
7#10590801C211yesmaximal, characteristic, complemented
8#10590745C211yesmaximal, characteristic, complemented
9#10590648C211yesmaximal, characteristic, complemented
10#10590617C211yesmaximal, characteristic
11#10590534C211yesmaximal, characteristic, complemented
12#10590528C211yesmaximal, characteristic, complemented
13#10590489C211yesmaximal, characteristic, complemented
14#10590457C211yesmaximal, characteristic, complemented
15#10590454C211yesmaximal, characteristic, complemented
16#80953—31nomaximal
17#79749—31nomaximal
18C2×#3796C2211yescharacteristic
19#64104C2211yescharacteristic
20C4⋊C4×C3⋊D3C2211yescharacteristic
21C2×C3×Dic12C2211yescharacteristic
22C3×#893C2211yescharacteristic
23C3×#888C2211yescharacteristic
24C3×#887C2211yescharacteristic
25C3×#887C2211yescharacteristic
26C4×#626—21no—
27#63897—21no—
28#63894C2211yescharacteristic
29Dic3×D12C2211yescharacteristic
30#63888—21no—
31#63881—21no—
32#63877—21no—
33D3×Dic3⋊C4—21no—
34#63874C2211yescharacteristic
35#63871C2211yescharacteristic
36#63868—21no—
37#63864—21no—
38#63864C2211yescharacteristic
39Dic3×Dic6C2211yescharacteristic
40C2×#3717C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43C32×#107C2211yescharacteristic
44#63648C2211yescharacteristic
45#63647C2211yescharacteristic
46#63636C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×Dic3⋊C8C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×#807C2211yescharacteristic
55#63575C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63565C2211yescharacteristic
59#63557C2211yescharacteristic
60#63554C2211yescharacteristic
61#5733—31no—
62#5582—31no—
63#5574—31no—
64#5546—31no—
65C3×#474—31no—
66C3×C4×Q16—31no—
67#5187—31no—
68#5185—31no—
69#5091—31no—
70#5026—31no—
71#5026—31no—
72#5016—31no—
73#4890D311yescharacteristic, complemented
74#4889—31no—
75#4884—31no—
76#4882—31no—
77#4882—31no—
78#4882—61no—
79#4873D311yescharacteristic, complemented
80#4845—31no—
81#4840—31no—
82#4819—31no—
83#4811—31no—
84#4810—31no—
85#4793—31no—
86#4783—31no—
87#4781—31no—
88#4757—31no—
89#4756—31no—
90C4×D24—31no—
91#4690—31no—
92C2×C4⋊(C3⋊D3)—21no—
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C4×C3⋊D3C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×Dic6—21no—
99C2×C3×Dic6C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#626—21no—
102C2×#624—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105#3796—22no—
106#3796—22no—
107C2×C32×C8C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3752—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×(C2×D3)⋊C4—21no—
115C3×C4⋊Dic3C2311yescharacteristic
116C3×Dic3⋊C4—21no—
117C3×Dic3⋊C4—21no—
118C3×Dic3⋊C4—21no—
119C3×C4×Dic3—21no—
120C3×C4×Dic3—21no—
121C3×C4×Dic3C2311yescharacteristic
122C3×C4×Dic3C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C3×Dic12—22no—
126#3724D411yescharacteristic
127#3724D411yescharacteristic
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130#3722—21no—
131#3722—21no—
132#3722—21no—
133#3722—21no—
134#3722D411yescharacteristic
135#3722D411yescharacteristic
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138#3717—22no—
139#3715—22no—
140#3714—22no—
141#3124—91noSylow
142C2×#239—31no—
143C2×#237—31no—
144C2×C3×Q16—31no—
145C3×C4⋊Q8—31no—
146C3×C4×Q8—31no—
147C3×C4×Q8—31no—
148C3×C4×D4—31no—
149#947—31no—
150#947—61no—
151#946—31no—
152#946—61no—
153Q8×Dic3—31no—
154C2×#215—31no—
155C2×#215—31no—
156D4×Dic3—31no—
157C2×#214—31no—
158C2×#213—31no—
159C4×#67—61no—
160C2×Dic3⋊C4—61no—
161C2×Dic12C2×D311yescharacteristic
162C2×D24—31no—
163C2×#204—31no—
164#898—61no—
165#897—31no—
166#896—61no—
167#895—31no—
168#895—31no—
169#895—61no—
170#894—61no—
171#894—61no—
172#893—31no—
173#893—61no—
174#893C2×D311yescharacteristic
175D3×C4⋊C4—31no—
176D3×C4⋊C4—31no—
177D3×C4⋊C4—61no—
178D3×C4⋊C4—61no—
179#888C2×D311yescharacteristic
180#887C2×D311yescharacteristic
181#887C2×D311yescharacteristic
182#67⋊C4—61no—
183#877—61no—
184#876—61no—
185#875—31no—
186#875—61no—
187C4×D12—31no—
188C4×D12—31no—
189C4×D12—61no—
190#872—31no—
191#872—31no—
192#872—61no—
193C4×Dic6—31no—
194C3×#107—21no—
195C3×#107—31no—
196C3×#107C2×D311yescharacteristic
197C3×#107C2×D311yescharacteristic
198C3×C4⋊C8—31no—
199C3×#103—31no—
200C3×#103—31no—
201C3×#102—31no—
202C3×#102—31no—
203C3×C4×C8—31no—
204#835—31no—
205#835—31no—
206#821—31no—
207#821—31no—
208#821—61no—
209#821C2×D311yescharacteristic
210(C2×D3)⋊C8—31no—
211(C2×D3)⋊C8—31no—
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8—61no—
215#818—31no—
216#816—31no—
217#815—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8C2×D311yescharacteristic
220C8×Dic3C2×D311yescharacteristic
221#810—31no—
222#810C2×D311yescharacteristic
223#810C2×D311yescharacteristic
224#809—31no—
225#809—31no—
226#809—61no—
227#809C2×D311yescharacteristic
228#807—31no—
229#807—31no—
230#807—31no—
231#807—61no—
232#807C2×D311yescharacteristic
233C4⋊(C3⋊C8)—31no—
234#803—31no—
235C22×C3⋊D3—21no—
236C22×C3⋊D3C2×D411yescharacteristic
237C22×C3×D3—21no—
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3C2×D411yescharacteristic
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—81no—
246C4×C3⋊D3—21no—
247C4×C3⋊D3—21no—
248C4×C3⋊D3—81no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×D12—21no—
257C3×D12#4112yes—
258C3×C4×D3—81no—
259C3×Dic6—21no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262C3×Dic6—81no—
263C3×Dic6#4112yes—
264#626—24no—
265#624—81no—
266D3×Dic3—24no—
267D3×Dic3—81no—
268C32×C8—21no—
269C3⋊(C3⋊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—31no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—31no—
285C4×D8—91no—
286#433—91no—
287C2×C3×Q8—31no—
288C2×C3×Q8—31no—
289C2×C3×Q8—61no—
290C2×C3×D4—31no—
291C22×C3×C4—61no—
292C2×#67—61no—
293C22×Dic3—61no—
294C22×Dic3—61no—
295#239—62no—
296#239—62no—
297#237—62no—
298#237—62no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—61no—
302C2×D12—61no—
303C2×D12—61no—
304C2×D12—61no—
305C2×D12—121no—
306C2×D12C22×D311yescharacteristic
307C2×C4×D3—21no—
308C2×C4×D3—31no—
309C2×C4×D3—31no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—121no—
318C2×Dic6—21no—
319C2×Dic6C22×D311yescharacteristic
320C2×Dic6C22×D311yescharacteristic
321C3×Q16—62no—
322C2×C3×C8—21no—
323C2×C3×C8—31no—
324C2×C3×C8—31no—
325C2×C3×C8C22×D311yescharacteristic
326C2×C3×C8C22×D311yescharacteristic
327C3×C4⋊C4—21no—
328C3×C4⋊C4—21no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4C22×D311yescharacteristic
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C4⋊C4C22×D311yescharacteristic
336C3×C4⋊C4C22×D311yescharacteristic
337C3×C22⋊C4—61no—
338C3×C42—31no—
339C3×C42—31no—
340C3×C42—61no—
341C3×C42—61no—
342#217—61no—
343#215—62no—
344#215—62no—
345#214—62no—
346#213—62no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—31no—
349(C2×D3)⋊C4—31no—
350(C2×D3)⋊C4—31no—
351(C2×D3)⋊C4—31no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—121no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—21no—
373Dic3⋊C4—31no—
374Dic3⋊C4—31no—
375Dic3⋊C4—31no—
376Dic3⋊C4—31no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—121no—
382C4×Dic3—21no—
383C4×Dic3—21no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3C22×D311yescharacteristic
387C4×Dic3C22×D311yescharacteristic
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8C22×D311yescharacteristic
392C2×C3⋊C8C22×D311yescharacteristic
393Dic12—22no—
394D24—62no—
395#204—62no—
396C22×C32C22×D411yescharacteristic
397C2×C3⋊D3—21no—
398C2×C3⋊D3—21no—
399C2×C3⋊D3—21no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3×D3—22no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—41no—
407C32×C4—41no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—41no—
412C3×Dic3—22no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C2×#41—91no—
420C2×Q16—31no—
421C2×SD16—91no—
422C2×SD16—91no—
423C2×D8—91no—
424C4⋊Q8—31no—
425#126—181no—
426#124—91no—
427#124—181no—
428#123—181no—
429C22⋊Q8—91no—
430C22⋊Q8—181no—
431#121—91no—
432C4×Q8—31no—
433C4×Q8—31no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—181no—
439C4×D4—181no—
440#117—91no—
441#117—181no—
442C2×C4⋊C4—91no—
443C2×C4⋊C4—181no—
444#107—31no—
445#107—91no—
446#107—91no—
447#107D3211yescharacteristic
448C4⋊C8—31no—
449C4⋊C8—91no—
450#103—31no—
451#103—31no—
452#103—91no—
453#103—91no—
454#102—31no—
455#102—31no—
456#102—91no—
457#102—91no—
458C22⋊C8—91no—
459C22⋊C8—91no—
460#97—91no—
461C4×C8—31no—
462C23×C3—61no—
463C22×D3—21no—
464C22×D3—31no—
465C22×D3—31no—
466C22×D3—61no—
467C22×D3—61no—
468C22×D3—61no—
469C22×D3—121no—
470C3×Q8—32no—
471C3×Q8—61no—
472C3×Q8—61no—
473C3×Q8—61no—
474C3×Q8—241no—
475C3×D4—32no—
476C3×D4—61no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—31no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—41no—
487C2×C3×C4—41no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—241no—
492C2×C3×C4C23×D311yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494#67—64no—
495C2×Dic3—21no—
496C2×Dic3—21no—
497C2×Dic3—21no—
498C2×Dic3—31no—
499C2×Dic3—31no—
500C2×Dic3—61no—
501C2×Dic3—64no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—121no—
505C2×Dic3—241no—
506C2×Dic3D3×D411yescharacteristic
507C2×Dic3D3×D411yescharacteristic
508C2×Dic3D3×D411yescharacteristic
509C2×Dic3D3×D411yescharacteristic
510D12—21no—
511D12—64no—
512D12—61no—
513D12—61no—
514D12—61no—
515D12—61no—
516D12—121no—
517D12—121no—
518D12—241no—
519D12—241no—
520D12—242no—
521D12#23912yes—
522C4×D3—64no—
523C4×D3—61no—
524C4×D3—61no—
525C4×D3—61no—
526C4×D3—61no—
527C4×D3—81no—
528C4×D3—121no—
529C4×D3—121no—
530C4×D3—241no—
531C4×D3—241no—
532C4×D3—241no—
533C4×D3—241no—
534C4×D3—241no—
535C4×D3—242no—
536Dic6—21no—
537Dic6—21no—
538Dic6—21no—
539Dic6—81no—
540Dic6#23512yes—
541C3×C8—21no—
542C3×C8—21no—
543C3×C8—41no—
544C3×C8—61no—
545C3×C8—61no—
546C3⋊C8—21no—
547C3⋊C8—21no—
548C3⋊C8—61no—
549C3⋊C8—61no—
550C3⋊C8—121no—
551C2×C32#52511yescharacteristic
552C2×C32#57611yescharacteristic
553C2×C32#57811yescharacteristic
554C3⋊D3—41no—
555C3⋊D3—81no—
556C3×D3—42no—
557#41—182no—
558#41—182no—
559C2×Q8—31no—
560C2×Q8—31no—
561C2×Q8—61no—
562C2×D4—31no—
563C2×D4—91no—
564C2×D4—181no—
565C2×D4—181no—
566C22×C4—61no—
567C22×C4—91no—
568C22×C4—181no—
569C22×C4—181no—
570C22×C4—181no—
571C22×C4—181no—
572Q16—62no—
573SD16—182no—
574SD16—182no—
575D8—182no—
576C2×C8—31no—
577C2×C8—31no—
578C2×C8—91no—
579C2×C8C2×D3211yescharacteristic
580C4⋊C4—31no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—91no—
585C4⋊C4—91no—
586C4⋊C4—91no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4C2×D3211yescharacteristic
591C4⋊C4C2×D3211yescharacteristic
592C22⋊C4—61no—
593C22⋊C4—91no—
594C22⋊C4—91no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C42—31no—
602C42—31no—
603C42—61no—
604C42—61no—
605C42—181no—
606C22×C3—21no—
607C22×C3—62no—
608C22×C3—121no—
609C22×C3—121no—
610C22×C3C2×D3×D411yescharacteristic
611C22×C3C2×D3×D411yescharacteristic
612C2×D3—22no—
613C2×D3—41no—
614C2×D3—41no—
615C2×D3—62no—
616C2×D3—61no—
617C2×D3—61no—
618C2×D3—61no—
619C2×D3—61no—
620C2×D3—61no—
621C2×D3—61no—
622C2×D3—121no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—121no—
630C2×D3—241no—
631C2×D3—241no—
632C2×D3—241no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—62no—
644C3×C4—81no—
645C3×C4—81no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4C2×#23511yescharacteristic
649C3×C4C2×#23911yescharacteristic
650C3×C4D3×#4111yescharacteristic
651C3×C4D3×#4111yescharacteristic
652Dic3—21no—
653Dic3—21no—
654Dic3—21no—
655Dic3—21no—
656Dic3—22no—
657Dic3—41no—
658Dic3—41no—
659Dic3—61no—
660Dic3—61no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—241no—
665C32#312411yescharacteristic, complemented, Sylow
666C23—61no—
667C23—91no—
668C23—181no—
669Q8—32no—
670Q8—61no—
671Q8—61no—
672Q8—61no—
673Q8—241no—
674D4—32no—
675D4—61no—
676D4—184no—
677D4—181no—
678D4—181no—
679D4—721no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—91no—
690C2×C4—184no—
691C2×C4—181no—
692C2×C4—181no—
693C2×C4—181no—
694C2×C4—241no—
695C2×C4—721no—
696C2×C4—721no—
697C2×C4—721no—
698C2×C4C22×D3211yescharacteristic
699C8—21no—
700C8—61no—
701C8—61no—
702C8—181no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—122no—
707C2×C3#554711yescharacteristic
708C2×C3#562711yescharacteristic
709C2×C3#575711yescharacteristic
710C2×C3#576611yescharacteristic
711C2×C3#576911yescharacteristic
712C2×C3#577911yescharacteristic
713D3—42no—
714D3—122no—
715D3—121no—
716D3—121no—
717D3—241no—
718D3—241no—
719D3—481no—
720C22—62no—
721C22—121no—
722C22—121no—
723C22—181no—
724C22—181no—
725C22—181no—
726C22—361no—
727C22—361no—
728C22—361no—
729C22D32×D411yescharacteristic
730C4—41no—
731C4—41no—
732C4—62no—
733C4—61no—
734C4—61no—
735C4—61no—
736C4—61no—
737C4—121no—
738C4—121no—
739C4—181no—
740C4—361no—
741C4D3×#23511yescharacteristic
742C4D3×#23911yescharacteristic
743C3—21no—
744C3#7974911yescharacteristic, complemented
745C3#8095311yescharacteristic, complemented
746C2—122no—
747C2—361no—
748C2—721no—
749C2#1059462311yescharacteristic
750C2#1059473411yescharacteristic
751C2#1059476611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
prime radical#10590617C2
hypercenter#107D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
1. #10594361C2semidirect
2. #10594352C2semidirect
3. #10592581C2semidirect
4. C3×#4890C2semidirect
5. C3×#4873C2semidirect
6. #10590965C2semidirect
7. #10590801C2semidirect
8. #10590745C2semidirect
9. #10590648C2semidirect
11. #10590534C2semidirect
12. #10590528C2semidirect
13. #10590489C2semidirect
14. #10590457C2semidirect
15. #10590454C2semidirect
73. #4890D3semidirect
79. #4873D3semidirect
665. C32#3124semidirect
744. C3#79749semidirect
745. C3#80953semidirect

Maximal subgroups

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

subgroupindex
#105943612
#105943522
#105925812
C3×#48902
C3×#48732
#105909652
#105908012
#105907452
#105906482
#105906172
#105905342
#105905282
#105904892
#105904572
#105904542
#809533
#797493