Finite Group Databasebeta

← #11876899

Subgroups — #11876899

Order 1152.

800 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595377C211yesmaximal, characteristic, complemented
2#10595173C211yesmaximal, characteristic, complemented
3#10592863C211yesmaximal, characteristic, complemented
4C3×#5174C211yesmaximal, characteristic, complemented
5C3×#5168C211yesmaximal, characteristic, complemented
6#10591638C211yesmaximal, characteristic, complemented
7#10591614C211yesmaximal, characteristic, complemented
8#10591582C211yesmaximal, characteristic, complemented
9#10591478C211yesmaximal, characteristic, complemented
10#10591451C211yesmaximal, characteristic
11#10591436C211yesmaximal, characteristic, complemented
12#10590873C211yesmaximal, characteristic, complemented
13#10590833C211yesmaximal, characteristic, complemented
14#10590779C211yesmaximal, characteristic, complemented
15Dic3×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
16#81812—31nomaximal
17#80791—31nomaximal
18C2×C32×SD16C2211yescharacteristic
19Q8×C3⋊Dic3C2211yescharacteristic
20D4×C3⋊Dic3C2211yescharacteristic
21C3×#947C2211yescharacteristic
22C3×#946C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C3×#938C2211yescharacteristic
25C3×#936C2211yescharacteristic
26C2×C3×#213C2211yescharacteristic
27C2×C3×#204C2211yescharacteristic
28C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
29#67⋊Dic3—21no—
30#63969—21no—
31#63957—21no—
32#63956—21no—
33#63908C2211yescharacteristic
34#63902—21no—
35#63898C2211yescharacteristic
36#63891—21no—
37#63878—21no—
38C4×D3×Dic3C2211yescharacteristic
39#63869C2211yescharacteristic
40#63869C2211yescharacteristic
41#63861—21no—
42#63856C2211yescharacteristic
43#63843C2211yescharacteristic
44C2×#3711C2211yescharacteristic
45#63662C2211yescharacteristic
46#63659C2211yescharacteristic
47#63645C2211yescharacteristic
48#63642C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×#832C2211yescharacteristic
51C3×#818C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53#63573C2211yescharacteristic
54#63573C2211yescharacteristic
55#63566C2211yescharacteristic
56#63565C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63555C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5680—31no—
62#5680—31no—
63#5624—31no—
64#5600—31no—
65C3×#495—31no—
66C3×#468—31no—
67#5189—31no—
68#5184—31no—
69#5174—31no—
70#5174D311yescharacteristic, complemented
71#5168D311yescharacteristic, complemented
72#5164—31no—
73#5164—31no—
74#5164—31no—
75#5164—61no—
76#5159—31no—
77#5152—31no—
78#5134—31no—
79Dic3×M16—31no—
80#5056—31no—
81#5056—31no—
82#5052—31no—
83#5039—31no—
84#4889—31no—
85#4878—31no—
86#4800—31no—
87#4789—31no—
88#4785—31no—
89#4768—31no—
90C4×ΓL(1,𝔽25)—31no—
91#4683—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C22×C3⋊Dic3—21no—
95C2×C3×#67—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#625—21no—
100C2×D3×Dic3—21no—
101C2×D3×Dic3D411yescharacteristic
102C2×D3×Dic3D411yescharacteristic
103C32×SD16—22no—
104C2×C32×C8C2311yescharacteristic
105#3757—21no—
106C4⋊(C3⋊Dic3)—21no—
107C4⋊(C3⋊Dic3)C2311yescharacteristic
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4×C3⋊Dic3—21no—
110C4×C3⋊Dic3C2311yescharacteristic
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C3×#217—21no—
113C3×#217—21no—
114C3×#217—21no—
115C3×#216—22no—
116C3×#213—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×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×#204—22no—
127C3×ΓL(1,𝔽25)—22no—
128#3724—21no—
129#3724—21no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140#3711—22no—
141#3183—91noSylow
142C2×C3×Q16—31no—
143C2×C3×SD16—21no—
144C2×C3×SD16—31no—
145C2×C3×SD16C2×D311yescharacteristic
146C2×C3×SD16C2×D311yescharacteristic
147C2×C3×D8—31no—
148C2×C3×M16—31no—
149C3×#124—31no—
150C3×#124—31no—
151C3×C22⋊Q8—31no—
152C3×#121—31no—
153#947C2×D311yescharacteristic
154#946—31no—
155#946C2×D311yescharacteristic
156Q8×Dic3—31no—
157Q8×Dic3—31no—
158Q8×Dic3—31no—
159Q8×Dic3—61no—
160C2×#216C2×D311yescharacteristic
161#938—31no—
162#938C2×D311yescharacteristic
163#936C2×D311yescharacteristic
164#935—61no—
165D4×Dic3—31no—
166D4×Dic3—31no—
167D4×Dic3—31no—
168D4×Dic3—61no—
169D4×Dic3—61no—
170C2×#213C2×D311yescharacteristic
171#930—31no—
172#924—31no—
173C2×C4×Dic3—31no—
174C2×#208—31no—
175C2×#204C2×D311yescharacteristic
176C2×ΓL(1,𝔽25)—31no—
177C2×ΓL(1,𝔽25)C2×D311yescharacteristic
178#898—61no—
179#893—31no—
180#892—61no—
181#890—31no—
182#890—31no—
183#887—31no—
184#886—61no—
185#883—61no—
186#883—61no—
187#67⋊C4—61no—
188#67⋊C4—61no—
189#67⋊C4—61no—
190#879—61no—
191#879—61no—
192#879—61no—
193#877—61no—
194#877—61no—
195#877—61no—
196C42×D3—31no—
197#870—31no—
198#870—31no—
199C3×#107—31no—
200C3×#103—31no—
201C3×#102—31no—
202C3×C4×C8—31no—
203#835—31no—
204#835—31no—
205#835—31no—
206#835—31no—
207#835—61no—
208#835C2×D311yescharacteristic
209#832—31no—
210#832—31no—
211#832—31no—
212#832—31no—
213#832—61no—
214#832C2×D311yescharacteristic
215#821—31no—
216#818—31no—
217#818—31no—
218#818—61no—
219#818C2×D311yescharacteristic
220#817—31no—
221#817—31no—
222#816—31no—
223#815—31no—
224#815—31no—
225#815—31no—
226#815—31no—
227#815—61no—
228C8×Dic3—31no—
229C8×Dic3C2×D311yescharacteristic
230#810—31no—
231#809—31no—
232#808—31no—
233#808—31no—
234C4×C3⋊C8—31no—
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×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—42no—
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3⋊Dic3C2×D411yescharacteristic
249C3×#67—42no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
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×Dic6—21no—
261C3×Dic6—21no—
262#625—42no—
263D3×Dic3—41no—
264D3×Dic3—41no—
265D3×Dic3—42no—
266C32×C8#4112yes—
267C3⋊(C3⋊C8)—21no—
268C3×C3⋊C8—21no—
269C3×C3⋊C8#4112yes—
270#529—91no—
271#529—91no—
272#499—91no—
273#495—31no—
274#488—91no—
275#488—91no—
276#470—91no—
277#469—91no—
278#468—31no—
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—
295C2×#67—21no—
296C2×#67—61no—
297C2×#67—61no—
298C22×Dic3—31no—
299C22×Dic3—31no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303C22×Dic3—121no—
304C2×D12C22×D311yescharacteristic
305C2×C4×D3—31no—
306C2×C4×D3—31no—
307C2×C4×D3—61no—
308C2×C4×D3C22×D311yescharacteristic
309C2×Dic6C22×D311yescharacteristic
310C3×Q16—62no—
311C3×SD16—24no—
312C3×SD16—22no—
313C3×SD16—22no—
314C3×SD16—62no—
315C3×D8—62no—
316C3×M16—62no—
317C2×C3×C8—21no—
318C2×C3×C8—31no—
319C2×C3×C8—31no—
320C2×C3×C8C22×D311yescharacteristic
321C2×C3×C8C22×D311yescharacteristic
322C3×C4⋊C4—31no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—61no—
325C3×C22⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C42—31no—
332#217—21no—
333#217—21no—
334#217—21no—
335#217—61no—
336#217—61no—
337#217—61no—
338#217—61no—
339#217—61no—
340#217—121no—
341#216—22no—
342#213—22no—
343(C2×D3)⋊C4—21no—
344(C2×D3)⋊C4—21no—
345(C2×D3)⋊C4—21no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349C4⋊Dic3—31no—
350C4⋊Dic3—31no—
351C4⋊Dic3—31no—
352C4⋊Dic3—31no—
353C4⋊Dic3—61no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—121no—
361C4⋊Dic3C22×D311yescharacteristic
362C4⋊Dic3C22×D311yescharacteristic
363Dic3⋊C4—21no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373C4×Dic3—31no—
374C4×Dic3—31no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—121no—
385C4×Dic3C22×D311yescharacteristic
386#208—62no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392#204—22no—
393ΓL(1,𝔽25)—22no—
394ΓL(1,𝔽25)—62no—
395C22×C32—41no—
396C22×C32—41no—
397C22×C32—41no—
398C22×C32C22×D411yescharacteristic
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C32×C4—41no—
406C32×C4C2×#4111yescharacteristic
407C32×C4C2×#4111yescharacteristic
408C3⋊Dic3—21no—
409C3⋊Dic3—21no—
410C3⋊Dic3—41no—
411C3⋊Dic3—41no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C2×Q16—31no—
419C2×SD16—31no—
420C2×SD16D3211yescharacteristic
421C2×D8—31no—
422C2×M16—31no—
423C2×M16—91no—
424#126—181no—
425#126—181no—
426#125—91no—
427#125—91no—
428#124—31no—
429#124—31no—
430#123—181no—
431#123—181no—
432C22⋊Q8—31no—
433C22⋊Q8—91no—
434#121—31no—
435#121—91no—
436C4×Q8—91no—
437C4×Q8—91no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—181no—
441C4×D4—181no—
442#117—181no—
443#117—181no—
444C2×C42—91no—
445#107—31no—
446#107—91no—
447#106—91no—
448#106—91no—
449#103—31no—
450#103—91no—
451#103—91no—
452#103—91no—
453#102—31no—
454#102—91no—
455#102—91no—
456#102—91no—
457#97—91no—
458#97—91no—
459C4×C8—31no—
460C4×C8—91no—
461C23×C3—21no—
462C23×C3—21no—
463C23×C3—31no—
464C23×C3—41no—
465C23×C3—61no—
466C22×D3—21no—
467C22×D3D3×D411yescharacteristic
468C3×Q8—22no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—41no—
474C3×Q8—61no—
475C3×Q8—61no—
476C3×D4—22no—
477C3×D4—21no—
478C3×D4—21no—
479C3×D4—21no—
480C3×D4—21no—
481C3×D4—41no—
482C3×D4—61no—
483C3×D4—61no—
484C3×D4—122no—
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—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—42no—
500#67—122no—
501#67—122no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—21no—
505C2×Dic3—31no—
506C2×Dic3—31no—
507C2×Dic3—31no—
508C2×Dic3—31no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—121no—
516C2×Dic3—121no—
517C2×Dic3—121no—
518C2×Dic3—121no—
519C2×Dic3—122no—
520C2×Dic3—122no—
521C2×Dic3—122no—
522C2×Dic3—242no—
523C2×Dic3D3×D411yescharacteristic
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526D12—21no—
527D12—21no—
528C4×D3—21no—
529C4×D3—21no—
530C4×D3—121no—
531C4×D3—121no—
532C4×D3—122no—
533Dic6—21no—
534Dic6—21no—
535C3×C8—22no—
536C3×C8—32no—
537C3×C8—61no—
538C3×C8#23712yes—
539C3×C8#23712yes—
540C3⋊C8—21no—
541C3⋊C8—61no—
542C3⋊C8—61no—
543C3⋊C8—121no—
544C3⋊C8#23712yes—
545C2×C32—81no—
546C2×C32#53211yescharacteristic
547C2×C32#57511yescharacteristic
548C2×C32#57511yescharacteristic
549C3×D3—41no—
550C3×D3—81no—
551C2×Q8—31no—
552C2×Q8C2×D3211yescharacteristic
553C2×D4—31no—
554C2×D4—61no—
555C2×D4—181no—
556C2×D4C2×D3211yescharacteristic
557C22×C4—31no—
558C22×C4—91no—
559C22×C4—91no—
560C22×C4—181no—
561C22×C4—181no—
562Q16—62no—
563SD16—22no—
564SD16—62no—
565D8—62no—
566M16—62no—
567M16—182no—
568C2×C8—31no—
569C2×C8—31no—
570C2×C8—91no—
571C2×C8C2×D3211yescharacteristic
572C4⋊C4—31no—
573C4⋊C4—31no—
574C4⋊C4—61no—
575C4⋊C4—91no—
576C4⋊C4—91no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C22⋊C4—61no—
585C22⋊C4—61no—
586C22⋊C4—61no—
587C22⋊C4—61no—
588C22⋊C4—61no—
589C22⋊C4—61no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C42—31no—
595C42—91no—
596C42—91no—
597C42—91no—
598C42—181no—
599C42—181no—
600C22×C3—21no—
601C22×C3—42no—
602C22×C3—41no—
603C22×C3—41no—
604C22×C3—41no—
605C22×C3—41no—
606C22×C3—41no—
607C22×C3—41no—
608C22×C3—61no—
609C22×C3—61no—
610C22×C3—61no—
611C22×C3—81no—
612C22×C3—81no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3—121no—
616C22×C3C2×D3×D411yescharacteristic
617C22×C3C2×D3×D411yescharacteristic
618C2×D3—21no—
619C2×D3—21no—
620C2×D3—21no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—41no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—42no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4—61no—
630C3×C4—61no—
631C3×C4—61no—
632C3×C4—121no—
633C3×C4—121no—
634C3×C4—121no—
635C3×C4C2×#23711yescharacteristic
636C3×C4C2×#23711yescharacteristic
637C3×C4C2×#23711yescharacteristic
638C3×C4D3×#4111yescharacteristic
639Dic3—21no—
640Dic3—21no—
641Dic3—21no—
642Dic3—41no—
643Dic3—41no—
644Dic3—41no—
645Dic3—61no—
646Dic3—61no—
647Dic3—61no—
648Dic3—61no—
649Dic3—121no—
650Dic3—121no—
651Dic3—121no—
652Dic3—121no—
653Dic3—121no—
654Dic3—121no—
655Dic3—241no—
656Dic3—241no—
657C32#318311yescharacteristic, complemented, Sylow
658C23—21no—
659C23—31no—
660C23—61no—
661Q8—21no—
662Q8—21no—
663Q8—61no—
664Q8—61no—
665D4—21no—
666D4—21no—
667D4—61no—
668D4—61no—
669D4—122no—
670D4—362no—
671C2×C4—21no—
672C2×C4—31no—
673C2×C4—31no—
674C2×C4—31no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—91no—
681C2×C4—91no—
682C2×C4—181no—
683C2×C4—181no—
684C2×C4—361no—
685C2×C4—361no—
686C2×C4—362no—
687C2×C4—362no—
688C2×C4C22×D3211yescharacteristic
689C8—32no—
690C8—61no—
691C8—181no—
692C8#380512yes—
693C2×C3—21no—
694C2×C3—21no—
695C2×C3—21no—
696C2×C3—82no—
697C2×C3—81no—
698C2×C3—81no—
699C2×C3—121no—
700C2×C3—241no—
701C2×C3#559611yescharacteristic
702C2×C3#571611yescharacteristic
703C2×C3#576811yescharacteristic
704C2×C3#576811yescharacteristic
705C2×C3#577311yescharacteristic
706C2×C3#577711yescharacteristic
707D3—41no—
708D3—81no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—61no—
713C22—61no—
714C22—61no—
715C22—121no—
716C22—121no—
717C22—121no—
718C22D32×D411yescharacteristic
719C4—41no—
720C4—61no—
721C4—61no—
722C4—61no—
723C4—121no—
724C4—121no—
725C4—121no—
726C4—181no—
727C4—181no—
728C4—361no—
729C4—361no—
730C4D3×#23711yescharacteristic
731C4C2×#380511yescharacteristic
732C3—21no—
733C3#8079111yescharacteristic, complemented
734C3#8181211yescharacteristic, complemented
735C2—81no—
736C2—121no—
737C2—241no—
738C2#1059474511yescharacteristic
739C2#1059474611yescharacteristic
740C2#1059513311yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×SD16C22
socleC22×C32C22×D4
prime radical#10591451C2
hypercenterC2×SD16D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×SD16

Complements

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

NH ≅ G/Ntype
1. #10595377C2semidirect
2. #10595173C2semidirect
3. #10592863C2semidirect
4. C3×#5174C2semidirect
5. C3×#5168C2semidirect
6. #10591638C2semidirect
7. #10591614C2semidirect
8. #10591582C2semidirect
9. #10591478C2semidirect
11. #10591436C2semidirect
12. #10590873C2semidirect
13. #10590833C2semidirect
14. #10590779C2semidirect
15. Dic3×ΓL(1,𝔽25)C2semidirect
70. #5174D3semidirect
71. #5168D3semidirect
657. C32#3183semidirect
733. C3#80791semidirect
734. C3#81812semidirect

Maximal subgroups

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

subgroupindex
#105953772
#105951732
#105928632
C3×#51742
C3×#51682
#105916382
#105916142
#105915822
#105914782
#105914512
#105914362
#105908732
#105908332
#105907792
Dic3×ΓL(1,𝔽25)2
#818123
#807913