Finite Group Databasebeta

← #11876930

Subgroups — #11876930

Order 1152.

788 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5680C211yesmaximal, characteristic, complemented
2#10593921C211yesmaximal, characteristic, complemented
3#10592755C211yesmaximal, characteristic, complemented
4C3×#5059C211yesmaximal, characteristic, complemented
5#10591638C211yesmaximal, characteristic, complemented
6#10591587C211yesmaximal, characteristic, complemented
7#10591576C211yesmaximal, characteristic, complemented
8#10591566C211yesmaximal, characteristic, complemented
9#10591502C211yesmaximal, characteristic, complemented
10#10591451C211yesmaximal, characteristic
11#10591440C211yesmaximal, characteristic, complemented
12#10591430C211yesmaximal, characteristic, complemented
13C4×#3711C211yesmaximal, characteristic, complemented
14#10590304C211yesmaximal, characteristic, complemented
15#10590278C211yesmaximal, characteristic, complemented
16#83139—31nomaximal
17#81812—31nomaximal
18C32×#124C2211yescharacteristic
19#64079C2211yescharacteristic
20C3×#946C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic
22C2×C3×#216C2211yescharacteristic
23C2×C3×#215C2211yescharacteristic
24C3×#938C2211yescharacteristic
25C3×D4×Dic3C2211yescharacteristic
26C2×C3×#214C2211yescharacteristic
27C2×C3×#213C2211yescharacteristic
28C3×#883—21no—
29C3×#67⋊C4—21no—
30C3×#879—21no—
31C3×#877—21no—
32C3×#875C2211yescharacteristic
33C3×C42×D3C2211yescharacteristic
34C3×#870C2211yescharacteristic
35#63908C2211yescharacteristic
36#63905—21no—
37Dic3×D12C2211yescharacteristic
38#63879—21no—
39#63877—21no—
40#63859—21no—
41#63856C2211yescharacteristic
42Dic3×Dic6C2211yescharacteristic
43C2×#3711C2211yescharacteristic
44C2×#3711C2211yescharacteristic
45#63662C2211yescharacteristic
46#63662C2211yescharacteristic
47#63659C2211yescharacteristic
48#63659C2211yescharacteristic
49C4×C3⋊(C3⋊C8)C2211yescharacteristic
50C3×C4×C3⋊C8C2211yescharacteristic
51#63575C2211yescharacteristic
52#63575C2211yescharacteristic
53#63573C2211yescharacteristic
54#63573C2211yescharacteristic
55#63565C2211yescharacteristic
56#63565C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60#63554C2211yescharacteristic
61C3×#529—31no—
62#5680—31no—
63#5680D311yescharacteristic, complemented
64#5479—31no—
65C3×#495—31no—
66#5189—31no—
67#5184—31no—
68#5174—31no—
69#5174—31no—
70#5164—31no—
71#5164—31no—
72#5159—31no—
73#5152—31no—
74#5068—31no—
75#5065—31no—
76#5059D311yescharacteristic, complemented
77#5056—31no—
78#5056—31no—
79#5056—31no—
80#5056—61no—
81#5052—31no—
82#5049—31no—
83#5042—31no—
84#5039—31no—
85#5030—31no—
86#5026—31no—
87#5018—31no—
88#5014—31no—
89C4×#208—31no—
90C4×ΓL(1,𝔽25)—31no—
91#4683—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C2×C3×#67—21no—
95C22×C3×Dic3—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3D411yescharacteristic
98C2×C3×C4×D3D411yescharacteristic
99C2×C3×C4×D3C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#625—21no—
102C2×D3×Dic3—21no—
103C32×C22⋊C4—21no—
104C32×C22⋊C4—21no—
105C32×C42C2311yescharacteristic
106C4⋊(C3⋊Dic3)C2311yescharacteristic
107C4⋊(C3⋊Dic3)C2311yescharacteristic
108#3750—21no—
109#3750—21no—
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C3×#217—21no—
113C3×#217—21no—
114C3×#216—22no—
115C3×#215—22no—
116C3×#214—22no—
117C3×#213—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×C4×Dic3—21no—
128C3×C4×Dic3D411yescharacteristic
129C3×C4×Dic3D411yescharacteristic
130C3×C4×Dic3C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133#3724—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3711—22no—
140#3711—22no—
141#3183—91noSylow
142C2×C3×Q16—31no—
143C2×C3×SD16—31no—
144C2×C3×SD16—31no—
145C2×C3×D8—31no—
146C3×#126—61no—
147C3×#125—31no—
148C3×#124—21no—
149C3×#124—31no—
150C3×#124C2×D311yescharacteristic
151C3×#124C2×D311yescharacteristic
152C3×#123—61no—
153C3×C22⋊Q8—31no—
154C3×#121—31no—
155C3×C4×Q8—31no—
156C3×C4×D4—31no—
157C3×C4×D4—61no—
158C3×#117—61no—
159C2×C3×C42—31no—
160#946—31no—
161#946C2×D311yescharacteristic
162Q8×Dic3—31no—
163Q8×Dic3C2×D311yescharacteristic
164C2×#216C2×D311yescharacteristic
165C2×#215C2×D311yescharacteristic
166#938—31no—
167#938C2×D311yescharacteristic
168D4×Dic3—31no—
169D4×Dic3C2×D311yescharacteristic
170C2×#214C2×D311yescharacteristic
171C2×#213C2×D311yescharacteristic
172#930—31no—
173#929—61no—
174C4×#67—61no—
175#924—31no—
176C2×#208—31no—
177C2×#208—31no—
178C2×ΓL(1,𝔽25)—31no—
179C2×ΓL(1,𝔽25)—31no—
180#883—21no—
181#883—61no—
182#67⋊C4—21no—
183#67⋊C4—61no—
184#879—21no—
185#879—61no—
186#877—21no—
187#877—61no—
188#876—61no—
189#875C2×D311yescharacteristic
190C4×D12—31no—
191#872—61no—
192C42×D3C2×D311yescharacteristic
193#870—31no—
194#870—31no—
195#870—61no—
196#870C2×D311yescharacteristic
197C4×Dic6—31no—
198C3×C4×C8—31no—
199#835—31no—
200#835—31no—
201#835—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#835—61no—
206#835—61no—
207#832—31no—
208#832—31no—
209#832—31no—
210#832—31no—
211#832—31no—
212#832—31no—
213#832—61no—
214#832—61no—
215#818—31no—
216#818—31no—
217#817—31no—
218#817—31no—
219#815—31no—
220#815—31no—
221#810—31no—
222#810—31no—
223#809—31no—
224#809—31no—
225#808—31no—
226#808—31no—
227#807—31no—
228#807—31no—
229#803—31no—
230#803—31no—
231C4×C3⋊C8—31no—
232C4×C3⋊C8—31no—
233C4×C3⋊C8—61no—
234C4×C3⋊C8C2×D311yescharacteristic
235C23×C32—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8—21no—
240C32×D4—21no—
241C32×D4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2411yescharacteristic
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248C3×#67—42no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—42no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×D12—21no—
257C3×D12—21no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—41no—
261C3×C4×D3—41no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264#625—42no—
265D3×Dic3—42no—
266C3⋊(C3⋊C8)—21no—
267C3⋊(C3⋊C8)—21no—
268C3×C3⋊C8#4112yes—
269C3×C3⋊C8#4112yes—
270#529—31no—
271#529—91no—
272#499—91no—
273#495—31no—
274#488—91no—
275#488—91no—
276#470—91no—
277#469—91no—
278#468—91no—
279#468—91no—
280#442—91no—
281#441—91no—
282#440—91no—
283#440—91no—
284C4×M16—91no—
285C2×C3×Q8—21no—
286C2×C3×Q8—31no—
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×Q8C22×D311yescharacteristic
289C2×C3×D4—21no—
290C2×C3×D4—31no—
291C2×C3×D4—61no—
292C2×C3×D4C22×D311yescharacteristic
293C2×C3×D4C22×D311yescharacteristic
294C22×C3×C4—31no—
295C22×C3×C4—31no—
296C22×C3×C4—31no—
297C22×C3×C4—61no—
298C2×#67—21no—
299C2×#67—61no—
300C2×#67—61no—
301C22×Dic3—21no—
302C22×Dic3—61no—
303C2×D12C22×D311yescharacteristic
304C2×C4×D3—61no—
305C2×C4×D3#6711yescharacteristic
306C2×C4×D3#6711yescharacteristic
307C2×C4×D3C22×D311yescharacteristic
308C2×Dic6C22×D311yescharacteristic
309C3×Q16—62no—
310C3×SD16—62no—
311C3×SD16—62no—
312C3×D8—62no—
313C2×C3×C8—31no—
314C2×C3×C8—31no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—61no—
318C3×C4⋊C4—61no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4—61no—
321C3×C22⋊C4—21no—
322C3×C22⋊C4—21no—
323C3×C22⋊C4—21no—
324C3×C22⋊C4—21no—
325C3×C22⋊C4—41no—
326C3×C22⋊C4—41no—
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C42—21no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—31no—
336C3×C42—61no—
337C3×C42C22×D311yescharacteristic
338C3×C42C22×D311yescharacteristic
339#217—21no—
340#217—21no—
341#217—61no—
342#217—61no—
343#217—61no—
344#216—22no—
345#215—22no—
346#214—22no—
347#213—22no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354C4⋊Dic3—21no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3C22×D311yescharacteristic
363C4⋊Dic3C22×D311yescharacteristic
364Dic3⋊C4—21no—
365Dic3⋊C4—21no—
366Dic3⋊C4—21no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—121no—
375Dic3⋊C4—121no—
376C4×Dic3—21no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3#6711yescharacteristic
380C4×Dic3#6711yescharacteristic
381C4×Dic3C22×D311yescharacteristic
382#208—62no—
383#208—62no—
384C2×C3⋊C8—31no—
385C2×C3⋊C8—31no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—61no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392ΓL(1,𝔽25)—62no—
393ΓL(1,𝔽25)—62no—
394C22×C32—41no—
395C22×C32—41no—
396C22×C32—41no—
397C22×C32C22×D411yescharacteristic
398C2×C3×D3—21no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C32×C4—21no—
405C32×C4—21no—
406C32×C4—41no—
407C32×C4C2×#4111yescharacteristic
408C32×C4C2×#4111yescharacteristic
409C3⋊Dic3—41no—
410C3⋊Dic3—41no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C2×Q16—31no—
418C2×SD16—31no—
419C2×SD16—31no—
420C2×D8—31no—
421C2×M16—91no—
422C2×M16—91no—
423#126—61no—
424#126—181no—
425#125—31no—
426#125—91no—
427#124—31no—
428#124D3211yescharacteristic
429#123—61no—
430#123—181no—
431C22⋊Q8—31no—
432C22⋊Q8—91no—
433#121—31no—
434#121—91no—
435C4×Q8—31no—
436C4×Q8—91no—
437C4×D4—31no—
438C4×D4—61no—
439C4×D4—91no—
440C4×D4—181no—
441#117—61no—
442#117—181no—
443C2×C42—31no—
444#107—91no—
445#107—91no—
446#106—91no—
447#106—91no—
448#103—91no—
449#103—91no—
450#103—91no—
451#103—91no—
452#102—91no—
453#102—91no—
454#102—91no—
455#102—91no—
456#97—91no—
457#97—91no—
458C4×C8—31no—
459C4×C8—91no—
460C23×C3—21no—
461C23×C3—21no—
462C23×C3—31no—
463C23×C3—41no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3C2×#6711yescharacteristic
467C3×Q8—21no—
468C3×Q8—21no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—41no—
472C3×Q8—41no—
473C3×Q8—61no—
474C3×Q8—61no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—21no—
478C3×D4—21no—
479C3×D4—41no—
480C3×D4—41no—
481C3×D4—61no—
482C3×D4—61no—
483C3×D4—122no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—41no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—121no—
499C2×C3×C4—121no—
500C2×C3×C4—122no—
501C2×C3×C4D3×D411yescharacteristic
502C2×C3×C4D3×D411yescharacteristic
503C2×C3×C4C2×#6711yescharacteristic
504C2×C3×C4C2×#6711yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507#67—42no—
508#67—122no—
509#67—122no—
510C2×Dic3—21no—
511C2×Dic3—21no—
512C2×Dic3—21no—
513C2×Dic3—42no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—121no—
519C2×Dic3—121no—
520C2×Dic3—122no—
521C2×Dic3C2×#6711yescharacteristic
522C2×Dic3C2×#6711yescharacteristic
523C2×Dic3C2×#6711yescharacteristic
524D12—21no—
525D12—21no—
526C4×D3—21no—
527C4×D3—21no—
528C4×D3—41no—
529C4×D3—41no—
530C4×D3—122no—
531Dic6—21no—
532Dic6—21no—
533C3×C8—32no—
534C3×C8—32no—
535C3⋊C8—61no—
536C3⋊C8—61no—
537C3⋊C8—61no—
538C3⋊C8—61no—
539C3⋊C8—121no—
540C3⋊C8—121no—
541C3⋊C8#23712yes—
542C3⋊C8#23712yes—
543C2×C32—81no—
544C2×C32#53211yescharacteristic
545C2×C32#57511yescharacteristic
546C2×C32#57511yescharacteristic
547C3×D3—41no—
548C3×D3—81no—
549C2×Q8—31no—
550C2×Q8C2×D3211yescharacteristic
551C2×D4—31no—
552C2×D4—61no—
553C2×D4—181no—
554C2×D4C2×D3211yescharacteristic
555C22×C4—31no—
556C22×C4—31no—
557C22×C4—31no—
558C22×C4—61no—
559C22×C4—181no—
560Q16—62no—
561SD16—62no—
562SD16—62no—
563D8—62no—
564M16—182no—
565M16—182no—
566C2×C8—31no—
567C2×C8—31no—
568C2×C8—91no—
569C2×C8—91no—
570C4⋊C4—31no—
571C4⋊C4—31no—
572C4⋊C4—61no—
573C4⋊C4—61no—
574C4⋊C4—61no—
575C4⋊C4—61no—
576C4⋊C4—91no—
577C4⋊C4—91no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—61no—
585C22⋊C4—61no—
586C22⋊C4—61no—
587C22⋊C4—61no—
588C22⋊C4—61no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C42—31no—
593C42—31no—
594C42—31no—
595C42—61no—
596C42—181no—
597C42C2×D3211yescharacteristic
598C22×C3—21no—
599C22×C3—41no—
600C22×C3—41no—
601C22×C3—41no—
602C22×C3—41no—
603C22×C3—41no—
604C22×C3—41no—
605C22×C3—61no—
606C22×C3—61no—
607C22×C3—61no—
608C22×C3—81no—
609C22×C3—81no—
610C22×C3—81no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3C2×D3×D411yescharacteristic
615C22×C3C22×#6711yescharacteristic
616C2×D3—21no—
617C2×D3—21no—
618C2×D3—21no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—41no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—61no—
633C3×C4—61no—
634C3×C4—61no—
635C3×C4—81no—
636C3×C4—121no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4C2×#23711yescharacteristic
640C3×C4C2×#23711yescharacteristic
641C3×C4D3×#4111yescharacteristic
642C3×C4D3×#4111yescharacteristic
643Dic3—21no—
644Dic3—21no—
645Dic3—21no—
646Dic3—41no—
647Dic3—41no—
648Dic3—41no—
649Dic3—121no—
650Dic3—121no—
651Dic3—121no—
652Dic3—121no—
653Dic3—241no—
654Dic3—241no—
655C32#318311yescharacteristic, complemented, Sylow
656C23—21no—
657C23—31no—
658C23—61no—
659Q8—21no—
660Q8—21no—
661Q8—61no—
662Q8—61no—
663D4—21no—
664D4—21no—
665D4—61no—
666D4—61no—
667D4—122no—
668D4—362no—
669C2×C4—21no—
670C2×C4—31no—
671C2×C4—31no—
672C2×C4—31no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—122no—
681C2×C4—181no—
682C2×C4—181no—
683C2×C4—362no—
684C2×C4D3×#6711yescharacteristic
685C2×C4D3×#6711yescharacteristic
686C2×C4C22×D3211yescharacteristic
687C8—32no—
688C8—32no—
689C8—181no—
690C8—181no—
691C2×C3—21no—
692C2×C3—21no—
693C2×C3—21no—
694C2×C3—81no—
695C2×C3—81no—
696C2×C3—121no—
697C2×C3—161no—
698C2×C3—241no—
699C2×C3#571611yescharacteristic
700C2×C3#576811yescharacteristic
701C2×C3#576811yescharacteristic
702C2×C3#582211yescharacteristic
703C2×C3#582211yescharacteristic
704C2×C3#583211yescharacteristic
705D3—41no—
706D3—81no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—61no—
711C22—61no—
712C22—61no—
713C22—121no—
714C22—121no—
715C22—121no—
716C22C2×D3×#6711yescharacteristic
717C4—21no—
718C4—21no—
719C4—41no—
720C4—61no—
721C4—61no—
722C4—61no—
723C4—121no—
724C4—121no—
725C4—121no—
726C4—361no—
727C4—361no—
728C4D3×#23711yescharacteristic
729C4D3×#23711yescharacteristic
730C3—21no—
731C3#8181211yescharacteristic, complemented
732C3#8313911yescharacteristic, complemented
733C2—81no—
734C2—121no—
735C2—241no—
736C2#1059515211yescharacteristic
737C2#1059545311yescharacteristic
738C2#1059545311yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#124C22
socleC22×C32C22×D4
prime radical#10591451C2
hypercenter#124D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #124

Complements

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

NH ≅ G/Ntype
1. C3×#5680C2semidirect
2. #10593921C2semidirect
3. #10592755C2semidirect
4. C3×#5059C2semidirect
5. #10591638C2semidirect
6. #10591587C2semidirect
7. #10591576C2semidirect
8. #10591566C2semidirect
9. #10591502C2semidirect
11. #10591440C2semidirect
12. #10591430C2semidirect
13. C4×#3711C2semidirect
14. #10590304C2semidirect
15. #10590278C2semidirect
63. #5680D3semidirect
76. #5059D3semidirect
655. C32#3183semidirect
731. C3#81812semidirect
732. C3#83139semidirect

Maximal subgroups

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

subgroupindex
C3×#56802
#105939212
#105927552
C3×#50592
#105916382
#105915872
#105915762
#105915662
#105915022
#105914512
#105914402
#105914302
C4×#37112
#105903042
#105902782
#831393
#818123