Finite Group Databasebeta

← #11895998

Subgroups — #11895998

Order 1152.

819 conjugacy classes of subgroups.

The subgroup lattice has 749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5685C211yesmaximal, characteristic, complemented
2#10593902C211yesmaximal, characteristic
3#10592766C211yesmaximal, characteristic, complemented
4C3×#5066C211yesmaximal, characteristic, complemented
5#10590550C211yesmaximal, characteristic, complemented
6#10590549C211yesmaximal, characteristic, complemented
7#10590549C211yesmaximal, characteristic, complemented
8#10590548C211yesmaximal, characteristic, complemented
9#10590470C211yesmaximal, characteristic, complemented
10#10590464C211yesmaximal, characteristic, complemented
11#10590458C211yesmaximal, characteristic, complemented
12#10590457C211yesmaximal, characteristic, complemented
13#10590367C211yesmaximal, characteristic, complemented
14#10590358C211yesmaximal, characteristic, complemented
15#10590252C211yesmaximal, characteristic, complemented
16#83690—31nomaximal
17#81153—31nomaximal
18C2×#3799—21no—
19C32×#125C2211yescharacteristic
20#64083C2211yescharacteristic
21C3×#890C2211yescharacteristic
22C3×#889—21no—
23C3×#889—21no—
24C3×#888—21no—
25C3×#888C2211yescharacteristic
26C3×#887—21no—
27C3×#887C2211yescharacteristic
28C3×#887C2211yescharacteristic
29C3×C4×D12C2211yescharacteristic
30C3×C4×Dic6C2211yescharacteristic
31C3×C4×Dic6C2211yescharacteristic
32#63911C2211yescharacteristic
33#63911C2211yescharacteristic
34#63910—21no—
35#63910—21no—
36#63909—21no—
37#63894C2211yescharacteristic
38#63894C2211yescharacteristic
39C2×#3717C2211yescharacteristic
40C2×#3717C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42#63636C2211yescharacteristic
43#63636C2211yescharacteristic
44#63636C2211yescharacteristic
45#63636C2211yescharacteristic
46#63630C2211yescharacteristic
47C3×#809C2211yescharacteristic
48C3×#809C2211yescharacteristic
49C3×#808C2211yescharacteristic
50C3×#807C2211yescharacteristic
51C3×C4⋊(C3⋊C8)C2211yescharacteristic
52#63576C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63565C2211yescharacteristic
56#63564C2211yescharacteristic
57#63564C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#557—31no—
62#5685D311yescharacteristic, complemented
63#5577—31no—
64#5553—31no—
65C3×#478—31no—
66#5088—31no—
67#5087—31no—
68#5067—31no—
69#5067—31no—
70#5067—31no—
71#5067—61no—
72#5066—31no—
73#5066D311yescharacteristic, complemented
74#5027—31no—
75#5027—31no—
76#5027—31no—
77#5026—31no—
78#5026—31no—
79C4×#215—31no—
80#5024—31no—
81#5018—31no—
82#4890—31no—
83#4889—31no—
84#4871—31no—
85#4852—31no—
86#4848—31no—
87#4828—31no—
88#4764—31no—
89#4762—31no—
90#4762—31no—
91#4760—31no—
92C2×C4⋊(C3⋊D3)—21no—
93C2×C4⋊(C3⋊D3)—21no—
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4⋊(C3⋊D3)C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×Dic6—21no—
99C2×C3×Dic6D411yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#626—21no—
102C2×#626—21no—
103C2×#626—21no—
104C2×#626—21no—
105C2×#624—21no—
106C2×#624—21no—
107#3799—44no—
108C32×C4⋊C4—21no—
109C32×C4⋊C4—21no—
110C32×C4⋊C4C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112C32×C42C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×(C2×D3)⋊C4—21no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3D411yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4D411yescharacteristic
126C3×Dic3⋊C4D411yescharacteristic
127C3×C4×Dic3—21no—
128C3×C4×Dic3—21no—
129C3×C4×Dic3—21no—
130C3×C4×Dic3C2311yescharacteristic
131C3×C4×Dic3C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133C2×C3×C3⋊C8C2311yescharacteristic
134#3722—21no—
135#3722—21no—
136#3717—22no—
137#3717—22no—
138#3715—22no—
139#3368—91noSylow
140C2×#239—61no—
141C2×#235—61no—
142C3×C4⋊Q8—31no—
143C3×C4⋊Q8—61no—
144C3×#125—21no—
145C3×#125—31no—
146C3×#125—61no—
147C3×#125—61no—
148C3×#125C2×D311yescharacteristic
149C3×#125C2×D311yescharacteristic
150C3×C4×Q8—31no—
151C3×C4×Q8—31no—
152C3×C4×Q8—31no—
153C3×C4×Q8—31no—
154C3×C4×Q8—61no—
155C3×C4×D4—31no—
156C2×#215—31no—
157C2×#215—31no—
158C2×#215—31no—
159#940—31no—
160#940—31no—
161C2×#214—31no—
162#930—61no—
163C2×#204—31no—
164C2×#204—31no—
165#895—61no—
166#895—61no—
167#895—61no—
168#893—31no—
169#893—31no—
170#890C2×D311yescharacteristic
171#889—21no—
172#889—21no—
173#888—21no—
174#888C2×D311yescharacteristic
175#887—21no—
176#887C2×D311yescharacteristic
177#887C2×D311yescharacteristic
178#884—61no—
179#884—61no—
180#874—31no—
181#874—31no—
182#874—31no—
183#874—31no—
184#874—61no—
185C4×D12—31no—
186C4×D12—31no—
187C4×D12C2×D311yescharacteristic
188C4×Dic6C2×D311yescharacteristic
189C4×Dic6C2×D311yescharacteristic
190C3×#107—31no—
191C3×#106—31no—
192C3×C4⋊C8—31no—
193C3×#102—31no—
194C3×#102—31no—
195#835—31no—
196#832—31no—
197#821—31no—
198#821—31no—
199#815—31no—
200Dic3⋊C8—31no—
201Dic3⋊C8—31no—
202C8×Dic3—31no—
203#810—31no—
204#809—31no—
205#809—31no—
206#809—31no—
207#809—31no—
208#809—31no—
209#809—31no—
210#809—31no—
211#809—31no—
212#809—31no—
213#809—31no—
214#809—31no—
215#809—61no—
216#809—61no—
217#809—61no—
218#809—61no—
219#809C2×D311yescharacteristic
220#809C2×D311yescharacteristic
221#808C2×D311yescharacteristic
222#807—31no—
223#807—31no—
224#807C2×D311yescharacteristic
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)C2×D311yescharacteristic
228#803—31no—
229#803—31no—
230#803—31no—
231#803—61no—
232C4×C3⋊C8—31no—
233C22×C3⋊D3—21no—
234C22×C3⋊D3—21no—
235C22×C3×D3—21no—
236C2×C32×C4—21no—
237C2×C32×C4—21no—
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C4⋊(C3⋊D3)—21no—
242C4⋊(C3⋊D3)—21no—
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—42no—
246C4⋊(C3⋊D3)—81no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—21no—
255C3×D12—21no—
256C3×C4×D3—42no—
257C3×Dic6—21no—
258C3×Dic6—22no—
259C3×Dic6—42no—
260C3×Dic6#4112yescomplemented
261#626—42no—
262#626—42no—
263#626—81no—
264#626—81no—
265#624—42no—
266#624—42no—
267C3⋊(C3⋊C8)—21no—
268C3⋊(C3⋊C8)—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271#557—31no—
272#550—91no—
273#490—91no—
274#490—91no—
275#486—91no—
276#478—31no—
277#478—91no—
278#474—91no—
279#460—91no—
280#460—91no—
281#460—91no—
282#446—91no—
283#440—91no—
284#440—91no—
285C4×SD16—91no—
286C2×C3×Q8—31no—
287C2×C3×Q8—31no—
288C2×C3×Q8—61no—
289C2×C3×D4—31no—
290C22×C3×C4—61no—
291C2×#67—61no—
292C2×#67—61no—
293C2×#67—61no—
294C2×#67—61no—
295#239—124no—
296#235—124no—
297C2×D12—31no—
298C2×D12—31no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—61no—
302C2×D12—61no—
303C2×D12—61no—
304C2×D12—61no—
305C2×D12—61no—
306C2×D12—61no—
307C2×D12—61no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12—61no—
311C2×D12—121no—
312C2×D12—121no—
313C2×D12C22×D311yescharacteristic
314C2×C4×D3—21no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×Dic6—21no—
320C2×Dic6#6711yescharacteristic
321C2×Dic6C22×D311yescharacteristic
322C2×C3×C8—31no—
323C2×C3×C8—31no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—21no—
328C3×C4⋊C4—21no—
329C3×C4⋊C4—21no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—41no—
336C3×C4⋊C4—41no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C4⋊C4—61no—
343C3×C4⋊C4C22×D311yescharacteristic
344C3×C4⋊C4C22×D311yescharacteristic
345C3×C4⋊C4C22×D311yescharacteristic
346C3×C4⋊C4C22×D311yescharacteristic
347C3×C22⋊C4—61no—
348C3×C42—21no—
349C3×C42—31no—
350C3×C42—31no—
351C3×C42—61no—
352C3×C42—61no—
353C3×C42—61no—
354C3×C42C22×D311yescharacteristic
355C3×C42C22×D311yescharacteristic
356#215—62no—
357#215—62no—
358#215—62no—
359#214—62no—
360(C2×D3)⋊C4—21no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365C4⋊Dic3—21no—
366C4⋊Dic3#6711yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—21no—
373Dic3⋊C4—21no—
374Dic3⋊C4#6711yescharacteristic
375Dic3⋊C4#6711yescharacteristic
376C4×Dic3—21no—
377C4×Dic3—21no—
378C4×Dic3—21no—
379C4×Dic3C22×D311yescharacteristic
380C4×Dic3C22×D311yescharacteristic
381C2×C3⋊C8—31no—
382C2×C3⋊C8—31no—
383C2×C3⋊C8—31no—
384C2×C3⋊C8—31no—
385C2×C3⋊C8—61no—
386C2×C3⋊C8—61no—
387C2×C3⋊C8C22×D311yescharacteristic
388C2×C3⋊C8C22×D311yescharacteristic
389#204—62no—
390#204—62no—
391C22×C32C22×D411yescharacteristic
392C2×C3⋊D3—41no—
393C2×C3⋊D3—41no—
394C2×C3⋊D3—41no—
395C2×C3⋊D3—41no—
396C2×C3⋊D3—41no—
397C2×C3⋊D3—41no—
398C2×C3×D3—41no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401C32×C4—21no—
402C32×C4—21no—
403C32×C4—41no—
404C32×C4—41no—
405C32×C4C2×#4111yescharacteristic
406C32×C42−1+411yescharacteristic
407C3×Dic3—22no—
408C3×Dic3—21no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—41no—
412C3×Dic3—41no—
413C3×Dic3AGL(1,ℤ/8)12yes—
414C2×#41—181no—
415C2×SD16—91no—
416C2×SD16—91no—
417C2×SD16—91no—
418C4⋊Q8—31no—
419C4⋊Q8—61no—
420#127—91no—
421#127—91no—
422#127—91no—
423#125—31no—
424#125—61no—
425#125—61no—
426#125D3211yescharacteristic
427#121—181no—
428#121—181no—
429#121—181no—
430C4×Q8—31no—
431C4×Q8—31no—
432C4×Q8—31no—
433C4×Q8—31no—
434C4×Q8—61no—
435C4×D4—31no—
436C4×D4—91no—
437C4×D4—91no—
438#107—31no—
439#107—91no—
440#106—31no—
441C4⋊C8—31no—
442C4⋊C8—91no—
443C4⋊C8—91no—
444#103—91no—
445#102—31no—
446#102—31no—
447#102—91no—
448#102—91no—
449#102—91no—
450#102—91no—
451#102—91no—
452#102—91no—
453#102—91no—
454#97—91no—
455#97—91no—
456C4×C8—91no—
457C23×C3—61no—
458C22×D3—21no—
459C22×D3—61no—
460C22×D3—61no—
461C22×D3—61no—
462C22×D3—61no—
463C22×D3—121no—
464C22×D3—121no—
465C3×Q8—32no—
466C3×Q8—62no—
467C3×Q8—61no—
468C3×Q8—122no—
469C3×D4—61no—
470C3×D4—61no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—31no—
482C2×C3×C4—41no—
483C2×C3×C4—41no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—122no—
488C2×C3×C4D3×D411yescharacteristic
489C2×C3×C4D3×D411yescharacteristic
490C2×C3×C4C2×#6711yescharacteristic
491C2×C3×C4C2×#6711yescharacteristic
492C2×C3×C4C23×D311yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494#67—122no—
495#67—122no—
496#67—241no—
497#67—241no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3C2×#6711yescharacteristic
502C2×Dic3C2×#6711yescharacteristic
503C2×Dic3C2×#6711yescharacteristic
504C2×Dic3C2×#6711yescharacteristic
505D12—21no—
506D12—21no—
507D12—61no—
508D12—61no—
509D12—61no—
510D12—61no—
511D12—61no—
512D12—61no—
513D12—61no—
514D12—61no—
515D12—121no—
516D12—121no—
517D12—121no—
518D12—121no—
519D12—122no—
520D12—122no—
521D12—122no—
522D12—122no—
523D12—242no—
524D12—241no—
525D12—241no—
526D12—242no—
527D12—241no—
528D12—241no—
529C4×D3—42no—
530C4×D3—122no—
531C4×D3—122no—
532C4×D3—122no—
533C4×D3—122no—
534Dic6—21no—
535Dic6—22no—
536Dic6—42no—
537Dic6#23912yescomplemented
538C3×C8—61no—
539C3×C8—61no—
540C3⋊C8—21no—
541C3⋊C8—21no—
542C3⋊C8—61no—
543C3⋊C8—61no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—121no—
547C3⋊C8—121no—
548C2×C32#54811yescharacteristic
549C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
550C2×C32#57711yescharacteristic
551C3⋊D3—81no—
552C3⋊D3—81no—
553C3×D3—81no—
554#41—364no—
555C2×Q8—31no—
556C2×Q8—31no—
557C2×Q8—61no—
558C2×D4—31no—
559C2×D4—91no—
560C2×D4—91no—
561C2×D4—181no—
562C2×D4—181no—
563C2×D4—181no—
564C2×D4—181no—
565C2×D4—181no—
566C2×D4—181no—
567C22×C4—61no—
568C22×C4—181no—
569C22×C4—181no—
570SD16—182no—
571SD16—182no—
572SD16—182no—
573C2×C8—31no—
574C2×C8—31no—
575C2×C8—91no—
576C2×C8—91no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—61no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4C2×D3211yescharacteristic
591C4⋊C4C2×D3211yescharacteristic
592C22⋊C4—61no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C42—31no—
596C42—31no—
597C42—61no—
598C42—61no—
599C42—61no—
600C42C2×D3211yescharacteristic
601C22×C3—21no—
602C22×C3—121no—
603C22×C3—121no—
604C22×C3—121no—
605C22×C3C2×D3×D411yescharacteristic
606C22×C3C22×#6711yescharacteristic
607C2×D3—41no—
608C2×D3—41no—
609C2×D3—41no—
610C2×D3—121no—
611C2×D3—121no—
612C2×D3—121no—
613C2×D3—121no—
614C2×D3—121no—
615C2×D3—121no—
616C2×D3—121no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—241no—
623C2×D3—241no—
624C2×D3—241no—
625C2×D3—241no—
626C2×D3—241no—
627C2×D3—241no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—32no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—62no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—61no—
645C3×C4—81no—
646C3×C4—81no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4C2×#23911yescharacteristic
650C3×C4#100711yescharacteristic
651C3×C4#100711yescharacteristic
652C3×C4D3×#4111yescharacteristic
653Dic3—22no—
654Dic3—21no—
655Dic3—21no—
656Dic3—21no—
657Dic3—41no—
658Dic3—41no—
659Dic3#94912yes—
660C32#336811yescharacteristic, complemented, Sylow
661C23—61no—
662C23—181no—
663C23—181no—
664Q8—32no—
665Q8—62no—
666Q8—61no—
667Q8—122no—
668D4—61no—
669D4—61no—
670D4—181no—
671D4—181no—
672D4—181no—
673D4—181no—
674D4—362no—
675D4—362no—
676D4—362no—
677D4—721no—
678D4—721no—
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—122no—
690C2×C4—362no—
691C2×C4—362no—
692C2×C4D3×#6711yescharacteristic
693C2×C4D3×#6711yescharacteristic
694C2×C4C22×D3211yescharacteristic
695C8—61no—
696C8—61no—
697C8—181no—
698C8—181no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—241no—
703C2×C3#563311yescharacteristic
704C2×C3#577011yescharacteristic
705C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
706C2×C3#581711yescharacteristic
707C2×C3C2×#94911yescharacteristic
708C2×C3#583711yescharacteristic
709D3—81no—
710D3—241no—
711D3—241no—
712D3—241no—
713D3—241no—
714D3—481no—
715D3—481no—
716C22—121no—
717C22—121no—
718C22—121no—
719C22—361no—
720C22—361no—
721C22—361no—
722C22—361no—
723C22—361no—
724C22—361no—
725C22C2×D3×#6711yescharacteristic
726C4—21no—
727C4—21no—
728C4—32no—
729C4—41no—
730C4—41no—
731C4—62no—
732C4—61no—
733C4—61no—
734C4—61no—
735C4—121no—
736C4—121no—
737C4#6431611yescharacteristic
738C4D3×#23911yescharacteristic
739C3—21no—
740C3#8115311yescharacteristic, complemented
741C3#8369011yescharacteristic, complemented
742C2—241no—
743C2—721no—
744C2—721no—
745C2#1059540211yescharacteristic
746C2D3×#94911yescharacteristic
747C2#1059545711yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#125C22
socleC22×C32C22×D4
prime radical#10593902C2
hypercenter#125D32
hypocenterC32#3368
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #125

Complements

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

NH ≅ G/Ntype
1. C3×#5685C2semidirect
3. #10592766C2semidirect
4. C3×#5066C2semidirect
5. #10590550C2semidirect
6. #10590549C2semidirect
7. #10590549C2semidirect
8. #10590548C2semidirect
9. #10590470C2semidirect
10. #10590464C2semidirect
11. #10590458C2semidirect
12. #10590457C2semidirect
13. #10590367C2semidirect
14. #10590358C2semidirect
15. #10590252C2semidirect
62. #5685D3semidirect
73. #5066D3semidirect
260. C3×Dic6#41semidirect
537. Dic6#239semidirect
660. C32#3368semidirect
740. C3#81153semidirect
741. C3#83690semidirect

Maximal subgroups

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

subgroupindex
C3×#56852
#105939022
#105927662
C3×#50662
#105905502
#105905492
#105905482
#105904702
#105904642
#105904582
#105904572
#105903672
#105903582
#105902522
#836903
#811533