Finite Group Databasebeta

← #11872377

Subgroups — #11872377

Order 1152.

843 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594496C211yesmaximal, characteristic, complemented
2#10594327C211yesmaximal, characteristic, complemented
3#10592590C211yesmaximal, characteristic, complemented
4C3×#4889C211yesmaximal, characteristic, complemented
5C3×#4882C211yesmaximal, characteristic, complemented
6#10590876C211yesmaximal, characteristic, complemented
7#10590823C211yesmaximal, characteristic, complemented
8#10590746C211yesmaximal, characteristic, complemented
9#10590697C211yesmaximal, characteristic, complemented
10#10590615C211yesmaximal, characteristic, complemented
11#10590551C211yesmaximal, characteristic, complemented
12#10590500C211yesmaximal, characteristic, complemented
13#10590494C211yesmaximal, characteristic, complemented
14#10590456C211yesmaximal, characteristic, complemented
15#10590453C211yesmaximal, characteristic, complemented
16#81272—31nomaximal
17#79812—31nomaximal
18C2×#3799C2211yescharacteristic
19#64102C2211yescharacteristic
20#64099C2211yescharacteristic
21C2×C3×#204C2211yescharacteristic
22C3×#895C2211yescharacteristic
23C3×#893C2211yescharacteristic
24C3×D3×C4⋊C4C2211yescharacteristic
25C3×#887C2211yescharacteristic
26#63914C2211yescharacteristic
27#63908—21no—
28#63908C2211yescharacteristic
29#63905—21no—
30#63904—21no—
31C4×#626—21no—
32#63894C2211yescharacteristic
33Dic3×D12C2211yescharacteristic
34#63891—21no—
35#63885—21no—
36#63883—21no—
37#63855C2211yescharacteristic
38#63843C2211yescharacteristic
39#63836—21no—
40C2×#3715C2211yescharacteristic
41C2×#3714C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43C32×#107C2211yescharacteristic
44#63648C2211yescharacteristic
45#63641C2211yescharacteristic
46#63636C2211yescharacteristic
47#63635C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#815C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#809C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×#807C2211yescharacteristic
55#63573C2211yescharacteristic
56#63572C2211yescharacteristic
57#63566C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5619—31no—
62#5574—31no—
63#5562—31no—
64#5504—31no—
65C3×#480—31no—
66C3×#440—31no—
67#5172—31no—
68#5163—31no—
69#5037—31no—
70C4×#215—31no—
71C4×#213—31no—
72#4968—31no—
73#4891—31no—
74#4891—31no—
75#4891—61no—
76#4889D311yescharacteristic, complemented
77#4882D311yescharacteristic, complemented
78#4877—31no—
79#4872—31no—
80#4810—31no—
81#4799—31no—
82#4786—31no—
83#4786—31no—
84#4785—31no—
85#4777—31no—
86#4762—31no—
87#4758—31no—
88#4734—31no—
89#4720—31no—
90#4711—31no—
91#4709—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×C3×D12—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#626—21no—
102C2×#625—21no—
103C2×#625—21no—
104C2×#625—21no—
105C2×#624—21no—
106C2×#624—21no—
107C2×D3×Dic3—21no—
108#3799—22no—
109#3799—22no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112C32×C4⋊C4C2311yescharacteristic
113#3752—21no—
114C4⋊(C3⋊Dic3)—21no—
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116#3750—21no—
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×#204—22no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3D411yescharacteristic
131Dic3⋊Dic3D411yescharacteristic
132#3722—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3D411yescharacteristic
136(C2×D3)⋊Dic3D411yescharacteristic
137Dic32—21no—
138#3715—22no—
139#3714—22no—
140#3714—22no—
141#3119—91noSylow
142C2×#239—31no—
143C2×#235—31no—
144C2×C3×SD16—31no—
145C3×#121—31no—
146C3×C4×Q8—31no—
147C3×C4×D4—31no—
148C2×C3×C4⋊C4—31no—
149Q8×Dic3—31no—
150C2×#215—31no—
151#940—31no—
152#940—31no—
153#939—61no—
154#938—31no—
155#938—61no—
156D4×Dic3—31no—
157C2×#214—31no—
158C2×#213—31no—
159C2×#213—31no—
160#930—31no—
161#930—61no—
162#929—61no—
163C4×#67—61no—
164C4×#67—61no—
165#926—31no—
166C2×D24—31no—
167C2×D24—31no—
168C2×#204C2×D311yescharacteristic
169#895C2×D311yescharacteristic
170#893—31no—
171#893—31no—
172#893—31no—
173#893—61no—
174#893—61no—
175#893C2×D311yescharacteristic
176#892—61no—
177D3×C4⋊C4—61no—
178D3×C4⋊C4—61no—
179D3×C4⋊C4C2×D311yescharacteristic
180#890—31no—
181#890—31no—
182#890—61no—
183#887—31no—
184#887C2×D311yescharacteristic
185#886—61no—
186#884—61no—
187#883—61no—
188#883—61no—
189C4×D12—31no—
190C4×D12—31no—
191C4×D12—61no—
192#872—31no—
193#872—61no—
194C3×#107—21no—
195C3×#107—31no—
196C3×#107C2×D311yescharacteristic
197C3×#107C2×D311yescharacteristic
198C3×#103—31no—
199C3×#102—31no—
200C3×#102—31no—
201C3×#102—31no—
202C3×C22⋊C8—31no—
203C3×#97—31no—
204#835—31no—
205#832—31no—
206#830—31no—
207#821—31no—
208#821—31no—
209#821—61no—
210#821C2×D311yescharacteristic
211(C2×D3)⋊C8—31no—
212(C2×D3)⋊C8C2×D311yescharacteristic
213#817—31no—
214#816—31no—
215#815C2×D311yescharacteristic
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220Dic3⋊C8—61no—
221C8×Dic3—31no—
222#810C2×D311yescharacteristic
223#809—31no—
224#809—31no—
225#809—31no—
226#809—61no—
227#809C2×D311yescharacteristic
228#809C2×D311yescharacteristic
229#808—31no—
230#808—31no—
231#808—31no—
232#808—61no—
233#807C2×D311yescharacteristic
234C4×C3⋊C8—31no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)#4112yes—
247C4×C3⋊D3—81no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C3×D12—21no—
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—81no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—81no—
261C3×C4×D3—81no—
262C3×Dic6—21no—
263C3×Dic6#4112yes—
264#626—24no—
265#625—81no—
266#625—81no—
267#625—81no—
268#624—24no—
269#624—81no—
270D3×Dic3—81no—
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#540—91no—
276#520—91no—
277#481—91no—
278#480—31no—
279#479—91no—
280#478—91no—
281#460—91no—
282#459—91no—
283#449—91no—
284#449—91no—
285#442—91no—
286#440—31no—
287C4×SD16—91no—
288C4×D8—91no—
289#433—91no—
290C2×C3×Q8—31no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C22×C3×C4—31no—
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—
304C22×Dic3—61no—
305#239—62no—
306#239—62no—
307#235—62no—
308#235—62no—
309C2×D12—21no—
310C2×D12—31no—
311C2×D12—31no—
312C2×D12—61no—
313C2×D12—61no—
314C2×D12C22×D311yescharacteristic
315C2×D12C22×D311yescharacteristic
316C2×C4×D3—21no—
317C2×C4×D3—21no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—121no—
326C2×C4×D3C22×D311yescharacteristic
327C2×Dic6C22×D311yescharacteristic
328C3×SD16—62no—
329C2×C3×C8—21no—
330C2×C3×C8—31no—
331C2×C3×C8—31no—
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C3×C4⋊C4—21no—
335C3×C4⋊C4—21no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C4⋊C4C22×D311yescharacteristic
343C3×C22⋊C4—61no—
344C3×C22⋊C4—61no—
345C3×C42—31no—
346C3×C42—61no—
347#217—31no—
348#217—31no—
349#217—61no—
350#217—61no—
351#215—62no—
352#214—62no—
353#213—62no—
354#213—62no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—31no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—121no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—31no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—121no—
375C4⋊Dic3C22×D311yescharacteristic
376Dic3⋊C4—21no—
377Dic3⋊C4—21no—
378Dic3⋊C4—31no—
379Dic3⋊C4—31no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—121no—
384C4×Dic3—21no—
385C4×Dic3—31no—
386C4×Dic3—31no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3C22×D311yescharacteristic
391C2×C3⋊C8—31no—
392C2×C3⋊C8—31no—
393C2×C3⋊C8—61no—
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396D24—62no—
397D24—62no—
398#204—22no—
399C22×C32C22×D411yescharacteristic
400C2×C3⋊D3—22no—
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3×D3—21no—
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C32×C4—41no—
413C32×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C4C2×#4111yescharacteristic
416C3⋊Dic3—21no—
417C3⋊Dic3—21no—
418C3⋊Dic3—41no—
419C3×Dic3—21no—
420C3×Dic3—22no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C2×#41—91no—
425C2×SD16—31no—
426C2×SD16—91no—
427C2×D8—91no—
428C2×D8—91no—
429#127—91no—
430#125—91no—
431#123—181no—
432#123—181no—
433#121—31no—
434#121—91no—
435#121—181no—
436#121—181no—
437C4×Q8—31no—
438C4×Q8—91no—
439C4×D4—31no—
440C4×D4—91no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—181no—
444C4×D4—181no—
445#117—91no—
446#117—181no—
447C2×C4⋊C4—31no—
448C2×C4⋊C4—181no—
449#107—31no—
450#107D3211yescharacteristic
451#106—91no—
452#106—91no—
453C4⋊C8—91no—
454C4⋊C8—91no—
455#103—31no—
456#103—91no—
457#102—31no—
458#102—31no—
459#102—31no—
460#102—91no—
461#102—91no—
462#102—91no—
463C22⋊C8—31no—
464C22⋊C8—91no—
465#97—31no—
466C4×C8—91no—
467C23×C3—31no—
468C23×C3—61no—
469C23×C3—61no—
470C22×D3—21no—
471C22×D3—21no—
472C22×D3—61no—
473C22×D3—61no—
474C22×D3—121no—
475C22×D3D3×D411yescharacteristic
476C3×Q8—32no—
477C3×Q8—61no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—61no—
481C3×D4—61no—
482C3×D4—241no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—241no—
498C2×C3×C4—241no—
499C2×C3×C4C23×D311yescharacteristic
500C2×C3×C4C23×D311yescharacteristic
501#67—64no—
502#67—241no—
503#67—241no—
504#67—241no—
505#67—241no—
506#67—241no—
507#67—241no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—121no—
519C2×Dic3—241no—
520C2×Dic3D3×D411yescharacteristic
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523D12—21no—
524D12—21no—
525D12—21no—
526D12—21no—
527D12—32no—
528D12—32no—
529D12—62no—
530D12—64no—
531D12—61no—
532D12—61no—
533D12—81no—
534D12—121no—
535C4×D3—21no—
536C4×D3—21no—
537C4×D3—64no—
538C4×D3—64no—
539C4×D3—81no—
540C4×D3—81no—
541C4×D3—241no—
542C4×D3—241no—
543C4×D3—241no—
544C4×D3—241no—
545C4×D3—241no—
546C4×D3—242no—
547Dic6—21no—
548Dic6#23512yes—
549C3×C8—21no—
550C3×C8—21no—
551C3×C8—41no—
552C3×C8—61no—
553C3×C8—61no—
554C3⋊C8—21no—
555C3⋊C8—21no—
556C3⋊C8—61no—
557C3⋊C8—61no—
558C3⋊C8—121no—
559C2×C32#52511yescharacteristic
560C2×C32#57611yescharacteristic
561C2×C32#57711yescharacteristic
562C3⋊D3—42no—
563C3×D3—41no—
564C3×D3—81no—
565C3×D3—81no—
566#41—182no—
567#41—182no—
568C2×Q8—31no—
569C2×D4—31no—
570C2×D4—31no—
571C2×D4—61no—
572C2×D4—91no—
573C2×D4—181no—
574C2×D4—181no—
575C2×D4—181no—
576C2×D4—181no—
577C22×C4—31no—
578C22×C4—61no—
579C22×C4—61no—
580C22×C4—181no—
581C22×C4—181no—
582C22×C4—181no—
583C22×C4—181no—
584SD16—62no—
585SD16—182no—
586D8—182no—
587D8—182no—
588C2×C8—31no—
589C2×C8—31no—
590C2×C8—91no—
591C2×C8C2×D3211yescharacteristic
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—
601C4⋊C4C2×D3211yescharacteristic
602C4⋊C4C2×D3211yescharacteristic
603C22⋊C4—61no—
604C22⋊C4—61no—
605C22⋊C4—91no—
606C22⋊C4—91no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C42—31no—
612C42—61no—
613C42—91no—
614C42—181no—
615C22×C3—21no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3—61no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3C2×D3×D411yescharacteristic
626C22×C3C2×D3×D411yescharacteristic
627C2×D3—21no—
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—41no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—62no—
637C2×D3—62no—
638C2×D3—122no—
639C2×D3—121no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3—121no—
643C2×D3—241no—
644C2×D3—241no—
645C3×C4—21no—
646C3×C4—21no—
647C3×C4—41no—
648C3×C4—41no—
649C3×C4—41no—
650C3×C4—41no—
651C3×C4—62no—
652C3×C4—61no—
653C3×C4—61no—
654C3×C4—61no—
655C3×C4—81no—
656C3×C4—81no—
657C3×C4—121no—
658C3×C4C2×#23511yescharacteristic
659C3×C4D3×#4111yescharacteristic
660C3×C4D3×#4111yescharacteristic
661C3×C4D3×#4111yescharacteristic
662Dic3—21no—
663Dic3—21no—
664Dic3—21no—
665Dic3—22no—
666Dic3—41no—
667Dic3—61no—
668Dic3—61no—
669Dic3—61no—
670Dic3—61no—
671Dic3—121no—
672Dic3—121no—
673Dic3—121no—
674Dic3—121no—
675Dic3—241no—
676C32#311911yescharacteristic, complemented, Sylow
677C23—31no—
678C23—61no—
679C23—61no—
680C23—181no—
681Q8—32no—
682Q8—61no—
683D4—61no—
684D4—61no—
685D4—61no—
686D4—61no—
687D4—92no—
688D4—184no—
689D4—181no—
690D4—241no—
691D4—721no—
692D4—721no—
693D4—721no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—31no—
697C2×C4—31no—
698C2×C4—31no—
699C2×C4—61no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—91no—
704C2×C4—91no—
705C2×C4—184no—
706C2×C4—181no—
707C2×C4—241no—
708C2×C4—241no—
709C2×C4—721no—
710C2×C4—721no—
711C2×C4—721no—
712C2×C4C22×D3211yescharacteristic
713C8—21no—
714C8—61no—
715C8—61no—
716C8—181no—
717C2×C3—21no—
718C2×C3—21no—
719C2×C3—21no—
720C2×C3—121no—
721C2×C3—241no—
722C2×C3—241no—
723C2×C3#554711yescharacteristic
724C2×C3#565611yescharacteristic
725C2×C3#575711yescharacteristic
726C2×C3#577411yescharacteristic
727C2×C3#577811yescharacteristic
728C2×C3#577811yescharacteristic
729D3—41no—
730D3—81no—
731D3—81no—
732D3—122no—
733D3—122no—
734D3—242no—
735C22—61no—
736C22—61no—
737C22—61no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22—121no—
744C22—182no—
745C22—361no—
746C22—361no—
747C22D32×D411yescharacteristic
748C4—41no—
749C4—41no—
750C4—61no—
751C4—62no—
752C4—61no—
753C4—61no—
754C4—121no—
755C4—181no—
756C4—181no—
757C4—361no—
758C4D3×#23511yescharacteristic
759C4#6431911yescharacteristic
760C3—21no—
761C3#7981211yescharacteristic, complemented
762C3#8127211yescharacteristic, complemented
763C2—121no—
764C2—241no—
765C2—241no—
766C2—362no—
767C2#1059461411yescharacteristic
768C2#1059473211yescharacteristic
769C2#1059476711yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
hypercenter#107D32
hypocenterC32#3119
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. #10594496C2semidirect
2. #10594327C2semidirect
3. #10592590C2semidirect
4. C3×#4889C2semidirect
5. C3×#4882C2semidirect
6. #10590876C2semidirect
7. #10590823C2semidirect
8. #10590746C2semidirect
9. #10590697C2semidirect
10. #10590615C2semidirect
11. #10590551C2semidirect
12. #10590500C2semidirect
13. #10590494C2semidirect
14. #10590456C2semidirect
15. #10590453C2semidirect
76. #4889D3semidirect
77. #4882D3semidirect
676. C32#3119semidirect
761. C3#79812semidirect
762. C3#81272semidirect

Maximal subgroups

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

subgroupindex
#105944962
#105943272
#105925902
C3×#48892
C3×#48822
#105908762
#105908232
#105907462
#105906972
#105906152
#105905512
#105905002
#105904942
#105904562
#105904532
#812723
#798123