Finite Group Databasebeta

← #11873003

Subgroups — #11873003

Order 1152.

828 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595396C211yesmaximal, characteristic, complemented
2#10594327C211yesmaximal, characteristic, complemented
3#10592516C211yesmaximal, characteristic, complemented
4C3×#4811C211yesmaximal, characteristic, complemented
5C3×#4798C211yesmaximal, characteristic, complemented
6#10591657C211yesmaximal, characteristic, complemented
7#10591581C211yesmaximal, characteristic, complemented
8#10591568C211yesmaximal, characteristic, complemented
9#10590823C211yesmaximal, characteristic
10#10590779C211yesmaximal, characteristic, complemented
11#10590764C211yesmaximal, characteristic, complemented
12#10590699C211yesmaximal, characteristic, complemented
13#10590557C211yesmaximal, characteristic, complemented
14#10590498C211yesmaximal, characteristic, complemented
15#10590459C211yesmaximal, characteristic, complemented
16#81457—31nomaximal
17#80574—31nomaximal
18C2×#3799C2211yescharacteristic
19Q8×C3⋊Dic3C2211yescharacteristic
20C2×#3755C2211yescharacteristic
21#64102C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C2×C3×#216C2211yescharacteristic
25C2×C3×#204C2211yescharacteristic
26C3×D3×C4⋊C4C2211yescharacteristic
27C3×#887C2211yescharacteristic
28#63918C2211yescharacteristic
29#63915—21no—
30#63908C2211yescharacteristic
31#63904—21no—
32C4×#626—21no—
33#63898C2211yescharacteristic
34#63894C2211yescharacteristic
35#63893—21no—
36#63891—21no—
37#63883—21no—
38#63862—21no—
39#63855C2211yescharacteristic
40#63843C2211yescharacteristic
41#63836—21no—
42C2×#3714C2211yescharacteristic
43C32×#103C2211yescharacteristic
44#63648C2211yescharacteristic
45#63642C2211yescharacteristic
46#63634C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#809C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63575C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63566C2211yescharacteristic
56#63565C2211yescharacteristic
57#63564C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63553C2211yescharacteristic
61#5682—31no—
62#5643—31no—
63#5574—31no—
64#5504—31no—
65C3×#484—31no—
66C3×#464—31no—
67#5187—31no—
68Dic3×Q16—31no—
69#5172—31no—
70#5164—31no—
71#5057—31no—
72#5047—31no—
73#5021—31no—
74#4967—31no—
75#4890—31no—
76#4889—31no—
77#4875—31no—
78#4872—31no—
79#4846—31no—
80#4840—31no—
81#4819—31no—
82#4817—31no—
83#4817—31no—
84#4817—61no—
85#4811D311yescharacteristic, complemented
86#4798D311yescharacteristic, complemented
87#4790—31no—
88#4774—31no—
89#4756—31no—
90#4734—31no—
91#4720—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#626—21no—
101C2×#625—21no—
102C2×#624—21no—
103C2×#624—21no—
104C2×D3×Dic3—21no—
105#3799—22no—
106#3799—22no—
107C2×C32×C8C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109#3755—22no—
110#3752—21no—
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4×C3⋊Dic3—21no—
114C4×C3⋊Dic3C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×#216—22no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×#204—22no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134#3722—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140#3714—22no—
141#3124—91noSylow
142C2×#239—31no—
143C2×#235—31no—
144C2×C3×Q16—31no—
145C2×C3×SD16—31no—
146C3×#124—31no—
147C3×C22⋊Q8—31no—
148C3×C4×Q8—31no—
149C2×C3×C4⋊C4—31no—
150#947C2×D311yescharacteristic
151#946C2×D311yescharacteristic
152Q8×Dic3—31no—
153Q8×Dic3—31no—
154Q8×Dic3—31no—
155Q8×Dic3—61no—
156C2×#216C2×D311yescharacteristic
157C2×#215—31no—
158C2×#215—31no—
159C2×#215—61no—
160#938—31no—
161D4×Dic3—31no—
162C2×#213—31no—
163#930—31no—
164C4×#67—61no—
165C4×#67—61no—
166#926—31no—
167C2×D24—31no—
168C2×#204C2×D311yescharacteristic
169#898—61no—
170#897—61no—
171#893—31no—
172#893—31no—
173#893—31no—
174#893—31no—
175#893—61no—
176#893—61no—
177#892—61no—
178D3×C4⋊C4—61no—
179D3×C4⋊C4—61no—
180D3×C4⋊C4C2×D311yescharacteristic
181#888—31no—
182#887—31no—
183#887C2×D311yescharacteristic
184#886—61no—
185#885—61no—
186#885—61no—
187#883—61no—
188#879—61no—
189#878—61no—
190C4×D12—31no—
191C4×D12—61no—
192#872—31no—
193#872—61no—
194#869—31no—
195C3×#107—31no—
196C3×#107—31no—
197C3×C4⋊C8—31no—
198C3×#103—21no—
199C3×#103—31no—
200C3×#103C2×D311yescharacteristic
201C3×#103C2×D311yescharacteristic
202C3×#102—31no—
203C3×C22⋊C8—31no—
204#835—31no—
205#835—31no—
206#835C2×D311yescharacteristic
207#832—31no—
208#830—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—61no—
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8C2×D311yescharacteristic
215#818—31no—
216#818C2×D311yescharacteristic
217#816—31no—
218#815—31no—
219#815—31no—
220#815—61no—
221Dic3⋊C8—31no—
222Dic3⋊C8C2×D311yescharacteristic
223C8×Dic3—31no—
224C8×Dic3—31no—
225#810—31no—
226#809—31no—
227#809—31no—
228#809C2×D311yescharacteristic
229#807—31no—
230#807—31no—
231#807—31no—
232#807—61no—
233#807C2×D311yescharacteristic
234C4⋊(C3⋊C8)—31no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3C2×D411yescharacteristic
245C2×C3⋊Dic3C2×D411yescharacteristic
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)#4112yes—
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
255C3×D12—21no—
256C3×D12—21no—
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—81no—
260C3×Dic6—21no—
261C3×Dic6#4112yes—
262#627—81no—
263#626—24no—
264#625—81no—
265#624—24no—
266#624—81no—
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—31no—
275#480—91no—
276#477—91no—
277#474—91no—
278#464—31no—
279#463—91no—
280#452—91no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—91no—
286#433—91no—
287C2×C3×Q8—21no—
288C2×C3×Q8—31no—
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×D4—31no—
292C22×C3×C4—31no—
293C22×C3×C4—61no—
294C2×#67—61no—
295C2×#67—61no—
296C2×#67—61no—
297C22×Dic3—61no—
298#239—62no—
299#239—62no—
300#235—62no—
301#235—62no—
302C2×D12—31no—
303C2×D12—31no—
304C2×D12—61no—
305C2×D12—61no—
306C2×D12C22×D311yescharacteristic
307C2×C4×D3—21no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—121no—
316C2×C4×D3C22×D311yescharacteristic
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6C22×D311yescharacteristic
320C3×Q16—62no—
321C3×SD16—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—31no—
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×C22⋊C4—61no—
336C3×C22⋊C4—61no—
337C3×C22⋊C4—61no—
338C3×C42—31no—
339C3×C42—61no—
340#217—31no—
341#217—31no—
342#217—61no—
343#217—61no—
344#216—22no—
345#215—62no—
346#215—62no—
347#215—64no—
348#213—62no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—31no—
353(C2×D3)⋊C4—31no—
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—121no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—121no—
371C4⋊Dic3C22×D311yescharacteristic
372C4⋊Dic3C22×D311yescharacteristic
373Dic3⋊C4—21no—
374Dic3⋊C4—21no—
375Dic3⋊C4—21no—
376Dic3⋊C4—31no—
377Dic3⋊C4—31no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380C4×Dic3—21no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—121no—
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395D24—62no—
396#204—22no—
397C22×C32C22×D411yescharacteristic
398C2×C3⋊D3—22no—
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3×D3—21no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C32×C4—41no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—22no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C2×#41—91no—
421C2×Q16—31no—
422C2×SD16—31no—
423C2×SD16—91no—
424C2×D8—91no—
425C4⋊Q8—91no—
426#126—181no—
427#124—31no—
428#124—181no—
429#123—181no—
430C22⋊Q8—31no—
431C22⋊Q8—181no—
432#121—91no—
433C4×Q8—31no—
434C4×Q8—91no—
435C4×Q8—91no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—181no—
440C4×D4—181no—
441#117—91no—
442#117—181no—
443C2×C4⋊C4—31no—
444C2×C4⋊C4—181no—
445#107—31no—
446#107—31no—
447#107—91no—
448#107—91no—
449C4⋊C8—31no—
450C4⋊C8—91no—
451#103—31no—
452#103—91no—
453#103—91no—
454#103D3211yescharacteristic
455#102—31no—
456#102—91no—
457#102—91no—
458#102—91no—
459C22⋊C8—31no—
460C22⋊C8—91no—
461#97—91no—
462C4×C8—91no—
463C23×C3—31no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—61no—
467C22×D3—61no—
468C22×D3—121no—
469C22×D3D3×D411yescharacteristic
470C3×Q8—22no—
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8—32no—
476C3×Q8—41no—
477C3×Q8—61no—
478C3×D4—61no—
479C3×D4—61no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—41no—
489C2×C3×C4—41no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—241no—
496C2×C3×C4C23×D311yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498#67—64no—
499#67—241no—
500#67—241no—
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—31no—
505C2×Dic3—31no—
506C2×Dic3—31no—
507C2×Dic3—31no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—121no—
513C2×Dic3—241no—
514C2×Dic3D3×D411yescharacteristic
515C2×Dic3D3×D411yescharacteristic
516C2×Dic3D3×D411yescharacteristic
517D12—21no—
518D12—21no—
519D12—32no—
520D12—32no—
521D12—62no—
522D12—64no—
523D12—61no—
524D12—61no—
525D12—121no—
526C4×D3—21no—
527C4×D3—21no—
528C4×D3—64no—
529C4×D3—64no—
530C4×D3—81no—
531C4×D3—241no—
532C4×D3—241no—
533C4×D3—241no—
534C4×D3—241no—
535C4×D3—241no—
536C4×D3—242no—
537Dic6—21no—
538Dic6—241no—
539Dic6—241no—
540Dic6#23712yes—
541C3×C8—21no—
542C3×C8—21no—
543C3×C8—41no—
544C3×C8—61no—
545C3×C8—61no—
546C3⋊C8—21no—
547C3⋊C8—21no—
548C3⋊C8—62no—
549C3⋊C8—61no—
550C3⋊C8—61no—
551C2×C32#52511yescharacteristic
552C2×C32#57611yescharacteristic
553C2×C32#57811yescharacteristic
554C3⋊D3—42no—
555C3×D3—41no—
556C3×D3—81no—
557#41—182no—
558#41—182no—
559C2×Q8—31no—
560C2×Q8—181no—
561C2×Q8C2×D3211yescharacteristic
562C2×D4—31no—
563C2×D4—91no—
564C2×D4—181no—
565C2×D4—181no—
566C22×C4—31no—
567C22×C4—61no—
568C22×C4—181no—
569C22×C4—181no—
570C22×C4—181no—
571C22×C4—181no—
572Q16—62no—
573SD16—62no—
574SD16—182no—
575D8—182no—
576C2×C8—31no—
577C2×C8—31no—
578C2×C8—91no—
579C2×C8C2×D3211yescharacteristic
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—91no—
586C4⋊C4—91no—
587C4⋊C4—91no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C4⋊C4C2×D3211yescharacteristic
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—91no—
596C22⋊C4—91no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C42—31no—
602C42—61no—
603C42—91no—
604C42—181no—
605C42—181no—
606C22×C3—21no—
607C22×C3—61no—
608C22×C3—61no—
609C22×C3—61no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3C2×D3×D411yescharacteristic
614C22×C3C2×D3×D411yescharacteristic
615C2×D3—21no—
616C2×D3—21no—
617C2×D3—21no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—62no—
622C2×D3—62no—
623C2×D3—122no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—241no—
629C2×D3—241no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—42no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—62no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—81no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4C2×#23711yescharacteristic
645C3×C4D3×#4111yescharacteristic
646C3×C4D3×#4111yescharacteristic
647C3×C4D3×#4111yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—22no—
652Dic3—41no—
653Dic3—41no—
654Dic3—61no—
655Dic3—61no—
656Dic3—61no—
657Dic3—61no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—241no—
663C32#312411yescharacteristic, complemented, Sylow
664C23—31no—
665C23—61no—
666C23—181no—
667Q8—21no—
668Q8—21no—
669Q8—32no—
670Q8—61no—
671Q8—721no—
672D4—61no—
673D4—61no—
674D4—92no—
675D4—184no—
676D4—181no—
677D4—721no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—91no—
689C2×C4—91no—
690C2×C4—184no—
691C2×C4—181no—
692C2×C4—241no—
693C2×C4—721no—
694C2×C4—721no—
695C2×C4—721no—
696C2×C4C22×D3211yescharacteristic
697C8—21no—
698C8—61no—
699C8—61no—
700C8—181no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—121no—
705C2×C3—241no—
706C2×C3#560611yescharacteristic
707C2×C3#565611yescharacteristic
708C2×C3#576611yescharacteristic
709C2×C3#576911yescharacteristic
710C2×C3#577411yescharacteristic
711C2×C3#577911yescharacteristic
712D3—41no—
713D3—81no—
714D3—122no—
715D3—122no—
716D3—242no—
717C22—61no—
718C22—61no—
719C22—61no—
720C22—121no—
721C22—121no—
722C22—121no—
723C22—182no—
724C22—361no—
725C22—361no—
726C22D32×D411yescharacteristic
727C4—41no—
728C4—41no—
729C4—61no—
730C4—61no—
731C4—61no—
732C4—62no—
733C4—121no—
734C4—121no—
735C4—181no—
736C4—181no—
737C4—361no—
738C4#6430611yescharacteristic
739C4D3×#23711yescharacteristic
740C3—21no—
741C3#8057411yescharacteristic, complemented
742C3#8145711yescharacteristic, complemented
743C2—121no—
744C2—241no—
745C2—362no—
746C2#1059426711yescharacteristic
747C2#1059475511yescharacteristic
748C2#1059476611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10590823C2
hypercenter#103D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. #10595396C2semidirect
2. #10594327C2semidirect
3. #10592516C2semidirect
4. C3×#4811C2semidirect
5. C3×#4798C2semidirect
6. #10591657C2semidirect
7. #10591581C2semidirect
8. #10591568C2semidirect
10. #10590779C2semidirect
11. #10590764C2semidirect
12. #10590699C2semidirect
13. #10590557C2semidirect
14. #10590498C2semidirect
15. #10590459C2semidirect
85. #4811D3semidirect
86. #4798D3semidirect
663. C32#3124semidirect
741. C3#80574semidirect
742. C3#81457semidirect

Maximal subgroups

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

subgroupindex
#105953962
#105943272
#105925162
C3×#48112
C3×#47982
#105916572
#105915812
#105915682
#105908232
#105907792
#105907642
#105906992
#105905572
#105904982
#105904592
#814573
#805743