Finite Group Databasebeta

← #11857322

Subgroups — #11857322

Order 1152.

1177 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#63805C211yesmaximal, characteristic
2C2×#63804C211yesmaximal, characteristic
3#10593965C211yesmaximal, characteristic
4#10592388C211yesmaximal, characteristic, complemented
5C3×#4689C211yesmaximal, characteristic, complemented
6C3×C4×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
7#10590909C211yesmaximal, characteristic, complemented
8#10590908C211yesmaximal, characteristic, complemented
9#10590668C211yesmaximal, characteristic, complemented
10#10590667C211yesmaximal, characteristic, complemented
11#10590664C211yesmaximal, characteristic, complemented
12D3×#815C211yesmaximal, characteristic, complemented
13#10590321C211yesmaximal, characteristic, complemented
14#10590318C211yesmaximal, characteristic, complemented
15D3×#803C211yesmaximal, characteristic, complemented
16#78550—31nomaximal
17#78516—31nomaximal
18C2×#3798C2211yescharacteristic
19C2×#3743C2211yescharacteristic
20C2×C8×C3⋊D3C2211yescharacteristic
21#64081C2211yescharacteristic
22C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
23C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
24C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
25C2×C3×D3×C8C2211yescharacteristic
26C3×#872C2211yescharacteristic
27C3×C42×D3C2211yescharacteristic
28#63904C412yes—
29C4×#624C2211yescharacteristic
30#63880C412yes—
31#63879C412yes—
32C4×D3×Dic3C2211yescharacteristic
33#63855C2211yescharacteristic
34#63837C412yes—
35C2×#3712C2211yescharacteristic
36C2×#3711C2211yescharacteristic
37C2×#3710C2211yescharacteristic
38C2×D3×C3⋊C8C2211yescharacteristic
39C2×D3×C3⋊C8C2211yescharacteristic
40C2×D3×C3⋊C8C2211yescharacteristic
41#63805C418yescomplemented
42#63804C418yescomplemented
43C32×C4×C8C2211yescharacteristic
44#63642C2211yescharacteristic
45C8×C3⋊Dic3C2211yescharacteristic
46#63630C2211yescharacteristic
47C3×#815C2211yescharacteristic
48C3×#815C2211yescharacteristic
49C3×#815C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#803C2211yescharacteristic
52C3×C4×C3⋊C8C2211yescharacteristic
53#63555C2211yescharacteristic
54#63554C2211yescharacteristic
55#63554C2211yescharacteristic
56#63554C2211yescharacteristic
57#63553C2211yescharacteristic
58Dic3×C3⋊C8C2211yescharacteristic
59C2×#907—31no—
60C2×#907—31no—
61C2×#907—31no—
62C2×#901—31no—
63#5522—31no—
64C4×#235—31no—
65C3×#405—31no—
66C3×C4×M16—31no—
67#5122—31no—
68#5122—31no—
69Dic3×M16—31no—
70C2×#815—31no—
71#4997—31no—
72C2×#803—31no—
73#4708—31no—
74#4708—31no—
75#4707—31no—
76#4707—31no—
77D3×#97—31no—
78D3×#97—31no—
79D3×#97—31no—
80D3×#97—31no—
81#4689—31no—
82#4689—31no—
83#4689—31no—
84#4689—31no—
85#4689—31no—
86#4689—61no—
87#4689D311yescharacteristic, complemented
88C4×ΓL(1,𝔽25)—31no—
89C4×ΓL(1,𝔽25)D311yescharacteristic, complemented
90C2×C4×C3⋊D3C2311yescharacteristic
91C2×C3×C4×D3C2×C412yes—
92C2×C3×C4×D3C2311yescharacteristic
93C2×C3×C4×D3C2311yescharacteristic
94C2×#627C2×C411yescharacteristic
95C2×#626C2×C411yescharacteristic
96C2×#626C2×C411yescharacteristic
97C2×#625C2×C411yescharacteristic
98C2×#624C2×C412yes—
99C2×D3×Dic3C2×C412yes—
100#3798C2×C414yes—
101#3798C2×C414yes—
102C2×C32×C8C2311yescharacteristic
103C2×C32×C8C2311yescharacteristic
104C32×C42C2311yescharacteristic
105#3752C2×C412yes—
106#3750C2×C412yes—
107C4×C3⋊Dic3C2311yescharacteristic
108C2×C3⋊(C3⋊C8)C2311yescharacteristic
109C2×C3⋊(C3⋊C8)C2311yescharacteristic
110#3743C2×C414yescomplemented
111C8×C3⋊D3C2×C414yescomplemented
112C3×(C2×D3)⋊C4C2×C412yes—
113C3×Dic3⋊C4C2×C412yes—
114C3×C4×Dic3C2×C412yes—
115C3×C4×Dic3C2311yescharacteristic
116C3×C4×Dic3C2311yescharacteristic
117C2×C3×C3⋊C8C2311yescharacteristic
118C2×C3×C3⋊C8C2311yescharacteristic
119C2×C3×C3⋊C8C2311yescharacteristic
120C2×C3×C3⋊C8C2311yescharacteristic
121C3×ΓL(1,𝔽25)C2×C414yescomplemented
122C3×ΓL(1,𝔽25)C2×C414yescomplemented
123C3×ΓL(1,𝔽25)C2×C414yescomplemented
124C3×D3×C8C2×C414yescomplemented
125Dic3⋊Dic3C2×C412yes—
126(C2×D3)⋊Dic3C2×C412yes—
127Dic32C2×C412yes—
128Dic32C2×C412yes—
129#3712C2×C414yescomplemented
130#3711C2×C414yescomplemented
131#3710C2×C414yescomplemented
132D3×C3⋊C8C2×C414yescomplemented
133D3×C3⋊C8C2×C414yescomplemented
134D3×C3⋊C8C2×C414yescomplemented
135#2875—91noSylow
136C2×#235—31no—
137C2×#235—31no—
138C2×C3×M16—31no—
139C2×C3×M16—31no—
140C2×C3×M16—31no—
141C22×C3×C8—31no—
142C3×#117—31no—
143C2×C3×C42—31no—
144C4×#67—32no—
145C4×#67—32no—
146#926—31no—
147C2×C4×Dic3—31no—
148C2×#208—31no—
149C22×C3⋊C8—31no—
150C22×C3⋊C8—31no—
151C22×C3⋊C8—31no—
152#907—38no—
153#907—38no—
154#907—38no—
155#901—38no—
156C2×ΓL(1,𝔽25)—31no—
157C2×ΓL(1,𝔽25)—31no—
158C2×ΓL(1,𝔽25)—31no—
159C2×ΓL(1,𝔽25)—31no—
160C2×ΓL(1,𝔽25)—31no—
161C2×ΓL(1,𝔽25)—61no—
162C2×ΓL(1,𝔽25)C2×D311yescharacteristic
163C2×ΓL(1,𝔽25)C2×D311yescharacteristic
164C2×ΓL(1,𝔽25)C2×D311yescharacteristic
165C2×D3×C8—31no—
166C2×D3×C8—31no—
167C2×D3×C8—31no—
168C2×D3×C8—31no—
169C2×D3×C8—31no—
170C2×D3×C8—31no—
171C2×D3×C8—31no—
172C2×D3×C8—61no—
173C2×D3×C8C2×D311yescharacteristic
174#893—32no—
175#887—32no—
176#67⋊C4—32no—
177#67⋊C4—32no—
178C4×D12—32no—
179#872—31no—
180#872—31no—
181#872—31no—
182#872—61no—
183#872C2×D311yescharacteristic
184C42×D3—31no—
185C42×D3—31no—
186C42×D3—31no—
187C42×D3C2×D311yescharacteristic
188C4×Dic6—32no—
189C3×#97—31no—
190C3×#97—31no—
191C3×#97—31no—
192C3×#97—31no—
193C3×C4×C8—21no—
194C3×C4×C8—31no—
195C3×C4×C8—31no—
196C3×C4×C8C2×D311yescharacteristic
197C3×C4×C8C2×D311yescharacteristic
198#815—31no—
199#815—31no—
200#815—31no—
201#815—31no—
202#815—31no—
203#815—31no—
204#815—31no—
205#815—61no—
206#815C2×D311yescharacteristic
207#815C2×D311yescharacteristic
208#815C2×D311yescharacteristic
209C8×Dic3—31no—
210C8×Dic3—31no—
211C8×Dic3—31no—
212C8×Dic3—31no—
213C8×Dic3—31no—
214C8×Dic3—61no—
215C8×Dic3C2×D311yescharacteristic
216#803—31no—
217#803—31no—
218#803—31no—
219#803—31no—
220#803—31no—
221#803—61no—
222#803C2×D311yescharacteristic
223C4×C3⋊C8—31no—
224C4×C3⋊C8C2×D311yescharacteristic
225C22×C3⋊D3C22×C411yescharacteristic
226C22×C3×D3C22×C411yescharacteristic
227C22×C3×D3C22×C411yescharacteristic
228C2×C32×C4C22×C412yes—
229C2×C32×C4C2411yescharacteristic
230C2×C3⋊Dic3C22×C412yes—
231C2×C3⋊Dic3C22×C411yescharacteristic
232C4×C3⋊D3C22×C412yes—
233C4×C3⋊D3C22×C412yes—
234C2×C3×Dic3C22×C412yes—
235C2×C3×Dic3C22×C412yes—
236C2×C3×Dic3C22×C411yescharacteristic
237C2×C3×Dic3C22×C411yescharacteristic
238C3×C4×D3—42no—
239C3×C4×D3C22×C412yes—
240C3×C4×D3C22×C412yes—
241C3×C4×D3C22×C412yes—
242C3×C4×D3C22×C412yes—
243#627C4214yes—
244#626C4214yes—
245#626C4214yes—
246#625C4214yes—
247#624—42no—
248D3×Dic3—42no—
249C32×C8C22×C412yes—
250C32×C8C22×C412yes—
251C3⋊(C3⋊C8)C22×C412yes—
252C3⋊(C3⋊C8)C22×C412yes—
253C3×C3⋊C8C22×C412yes—
254C3×C3⋊C8C22×C412yes—
255C3×C3⋊C8C22×C412yes—
256C3×C3⋊C8C22×C412yes—
257C2×#131—91no—
258C2×#131—91no—
259C4×#41—91no—
260#405—31no—
261#405—91no—
262#405—91no—
263#405—91no—
264#405—91no—
265#405—91no—
266C4×M16—31no—
267C4×M16—91no—
268C4×M16—91no—
269C2×#97—91no—
270C2×#97—91no—
271C2×#97—91no—
272C22×C3×C4—31no—
273C22×C3×C4—31no—
274C22×C3×C4—32no—
275C2×#67—31no—
276C2×#67—31no—
277C2×#67—31no—
278C2×#67—31no—
279C22×Dic3—32no—
280#235—34no—
281#235—34no—
282#235—34no—
283#235—34no—
284C2×D12—31no—
285C2×D12—31no—
286C2×C4×D3—31no—
287C2×C4×D3—31no—
288C2×C4×D3—32no—
289C2×C4×D3—32no—
290C2×C4×D3—32no—
291C2×C4×D3—61no—
292C2×C4×D3C4×D312yes—
293C2×C4×D3C22×D311yescharacteristic
294C2×C4×D3C22×D311yescharacteristic
295C2×Dic6—31no—
296C2×Dic6—31no—
297C3×M16—34no—
298C3×M16—34no—
299C3×M16—34no—
300C2×C3×C8—21no—
301C2×C3×C8—21no—
302C2×C3×C8—31no—
303C2×C3×C8—31no—
304C2×C3×C8—31no—
305C2×C3×C8—31no—
306C2×C3×C8—34no—
307C2×C3×C8C22×D311yescharacteristic
308C2×C3×C8C22×D311yescharacteristic
309C2×C3×C8C22×D311yescharacteristic
310C2×C3×C8C22×D311yescharacteristic
311C3×C4⋊C4—32no—
312C3×C22⋊C4—32no—
313C3×C42—21no—
314C3×C42—32no—
315C3×C42—31no—
316C3×C42—31no—
317C3×C42C22×D311yescharacteristic
318C3×C42C22×D311yescharacteristic
319#217—32no—
320(C2×D3)⋊C4—32no—
321(C2×D3)⋊C4—32no—
322(C2×D3)⋊C4—32no—
323(C2×D3)⋊C4—62no—
324(C2×D3)⋊C4C4×D312yes—
325C4⋊Dic3—32no—
326Dic3⋊C4—32no—
327Dic3⋊C4—32no—
328Dic3⋊C4—32no—
329Dic3⋊C4—62no—
330Dic3⋊C4C4×D312yes—
331C4×Dic3—31no—
332C4×Dic3—31no—
333C4×Dic3—32no—
334C4×Dic3—32no—
335C4×Dic3—32no—
336C4×Dic3—32no—
337C4×Dic3—61no—
338C4×Dic3C4×D312yes—
339C4×Dic3C22×D311yescharacteristic
340C4×Dic3C22×D311yescharacteristic
341#208—34no—
342C2×C3⋊C8—31no—
343C2×C3⋊C8—31no—
344C2×C3⋊C8—31no—
345C2×C3⋊C8—31no—
346C2×C3⋊C8—34no—
347C2×C3⋊C8—34no—
348C2×C3⋊C8—34no—
349C2×C3⋊C8—61no—
350C2×C3⋊C8—61no—
351C2×C3⋊C8C22×D311yescharacteristic
352C2×C3⋊C8C22×D311yescharacteristic
353C2×C3⋊C8C22×D311yescharacteristic
354C2×C3⋊C8C22×D311yescharacteristic
355ΓL(1,𝔽25)—34no—
356ΓL(1,𝔽25)—34no—
357ΓL(1,𝔽25)—34no—
358ΓL(1,𝔽25)—34no—
359ΓL(1,𝔽25)—34no—
360ΓL(1,𝔽25)—64no—
361ΓL(1,𝔽25)C4×D314yescomplemented
362ΓL(1,𝔽25)C4×D314yescomplemented
363ΓL(1,𝔽25)C4×D314yescomplemented
364D3×C8—34no—
365D3×C8—34no—
366D3×C8—34no—
367D3×C8—34no—
368D3×C8—34no—
369D3×C8—34no—
370D3×C8—34no—
371D3×C8—64no—
372D3×C8C4×D314yescomplemented
373C22×C32C23×C411yescharacteristic
374C2×C3⋊D3—22no—
375C2×C3⋊D3C2×C4212yes—
376C2×C3×D3—22no—
377C2×C3×D3—22no—
378C2×C3×D3C2×C4212yes—
379C2×C3×D3C2×C4212yes—
380C32×C4—22no—
381C32×C4C23×C411yescharacteristic
382C32×C4C23×C411yescharacteristic
383C3⋊Dic3—22no—
384C3⋊Dic3C2×C4212yes—
385C3×Dic3—22no—
386C3×Dic3—22no—
387C3×Dic3C2×C4212yes—
388C3×Dic3C2×C4212yes—
389C2×#41—91no—
390#131—98no—
391#131—98no—
392C2×M16—31no—
393C2×M16—31no—
394C2×M16—31no—
395C2×M16—91no—
396C2×M16—91no—
397C2×M16—91no—
398C22×C8—31no—
399C22×C8—91no—
400C22×C8—91no—
401C22×C8—91no—
402C22×C8—91no—
403C22×C8—91no—
404C4×Q8—92no—
405C4×D4—92no—
406C4×D4—92no—
407C4×D4—92no—
408#117—31no—
409#117—91no—
410#117—91no—
411C2×C42—31no—
412C2×C42—91no—
413C2×C42—91no—
414#97—31no—
415#97—31no—
416#97—31no—
417#97—31no—
418#97—91no—
419#97—91no—
420#97—91no—
421#97—91no—
422#97—91no—
423#97—91no—
424C4×C8—31no—
425C4×C8—31no—
426C4×C8—91no—
427C4×C8—91no—
428C4×C8—91no—
429C4×C8D3211yescharacteristic
430C23×C3—31no—
431C23×C3—31no—
432C22×D3—31no—
433C22×D3—31no—
434C22×D3—61no—
435C22×D3C2×C4×D311yescharacteristic
436C22×D3C2×C4×D311yescharacteristic
437C2×C3×C4—21no—
438C2×C3×C4—22no—
439C2×C3×C4—31no—
440C2×C3×C4—31no—
441C2×C3×C4—32no—
442C2×C3×C4—32no—
443C2×C3×C4—32no—
444C2×C3×C4—32no—
445C2×C3×C4—32no—
446C2×C3×C4—32no—
447C2×C3×C4—122no—
448C2×C3×C4C2×C4×D312yes—
449C2×C3×C4C2×C4×D312yes—
450C2×C3×C4C23×D311yescharacteristic
451C2×C3×C4C23×D311yescharacteristic
452#67—34no—
453#67—34no—
454#67—34no—
455#67—34no—
456C2×Dic3—31no—
457C2×Dic3—31no—
458C2×Dic3—32no—
459C2×Dic3—32no—
460C2×Dic3—61no—
461C2×Dic3—62no—
462C2×Dic3—122no—
463C2×Dic3C2×C4×D312yes—
464C2×Dic3C2×C4×D312yes—
465C2×Dic3C2×C4×D311yescharacteristic
466C2×Dic3C2×C4×D311yescharacteristic
467D12—34no—
468D12—34no—
469C4×D3—32no—
470C4×D3—32no—
471C4×D3—32no—
472C4×D3—32no—
473C4×D3—42no—
474C4×D3—62no—
475C4×D3—62no—
476C4×D3—122no—
477C4×D3—122no—
478C4×D3—122no—
479C4×D3C2×C4×D312yes—
480C4×D3C2×C4×D312yes—
481C4×D3C2×C4×D312yes—
482C4×D3C2×C4×D312yes—
483Dic6—34no—
484Dic6—34no—
485C3×C8—22no—
486C3×C8—22no—
487C3×C8—32no—
488C3×C8—32no—
489C3×C8—32no—
490C3×C8—32no—
491C3×C8C2×C4×D312yes—
492C3×C8C2×C4×D312yes—
493C3×C8C2×C4×D312yes—
494C3×C8C2×C4×D312yes—
495C3⋊C8—32no—
496C3⋊C8—32no—
497C3⋊C8—32no—
498C3⋊C8—32no—
499C3⋊C8—62no—
500C3⋊C8—62no—
501C3⋊C8C2×C4×D312yes—
502C3⋊C8C2×C4×D312yes—
503C3⋊C8C2×C4×D312yes—
504C3⋊C8C2×C4×D312yes—
505C2×C32C22×C4211yescharacteristic
506C2×C32#56812yes—
507C3⋊D3—22no—
508C3×D3—22no—
509C3×D3—22no—
510#41—94no—
511#41—94no—
512C2×Q8—91no—
513C2×D4—91no—
514C2×D4—91no—
515C2×D4—91no—
516C22×C4—31no—
517C22×C4—31no—
518C22×C4—32no—
519C22×C4—92no—
520C22×C4—92no—
521C22×C4—91no—
522M16—34no—
523M16—34no—
524M16—34no—
525M16—94no—
526M16—94no—
527M16—94no—
528C2×C8—31no—
529C2×C8—31no—
530C2×C8—31no—
531C2×C8—31no—
532C2×C8—34no—
533C2×C8—94no—
534C2×C8—94no—
535C2×C8—94no—
536C2×C8—94no—
537C2×C8—91no—
538C2×C8—91no—
539C2×C8—94no—
540C2×C8C2×D3211yescharacteristic
541C2×C8C2×D3211yescharacteristic
542C4⋊C4—32no—
543C4⋊C4—92no—
544C4⋊C4—92no—
545C22⋊C4—32no—
546C22⋊C4—92no—
547C22⋊C4—92no—
548C42—31no—
549C42—31no—
550C42—32no—
551C42—92no—
552C42—92no—
553C42—91no—
554C42C2×D3211yescharacteristic
555C22×C3—21no—
556C22×C3—32no—
557C22×C3—32no—
558C22×C3—62no—
559C22×C3—62no—
560C22×C3C22×C4×D311yescharacteristic
561C22×C3C22×C4×D311yescharacteristic
562C2×D3—22no—
563C2×D3—22no—
564C2×D3—32no—
565C2×D3—32no—
566C2×D3—62no—
567C2×D3—62no—
568C2×D3—62no—
569C2×D3—122no—
570C2×D3C42×D312yes—
571C2×D3C42×D312yes—
572C3×C4—22no—
573C3×C4—22no—
574C3×C4—21no—
575C3×C4—21no—
576C3×C4—32no—
577C3×C4—32no—
578C3×C4—42no—
579C3×C4—62no—
580C3×C4—62no—
581C3×C4C22×C4×D311yescharacteristic
582C3×C4C22×C4×D311yescharacteristic
583C3×C4C22×C4×D311yescharacteristic
584C3×C4C22×C4×D311yescharacteristic
585Dic3—22no—
586Dic3—22no—
587Dic3—32no—
588Dic3—32no—
589Dic3—62no—
590Dic3—62no—
591Dic3—62no—
592Dic3—122no—
593Dic3C42×D312yes—
594Dic3C42×D312yes—
595C32#287511yescharacteristic, complemented, Sylow
596C23—31no—
597C23—31no—
598C23—91no—
599Q8—94no—
600D4—94no—
601D4—94no—
602D4—94no—
603C2×C4—31no—
604C2×C4—31no—
605C2×C4—32no—
606C2×C4—32no—
607C2×C4—32no—
608C2×C4—32no—
609C2×C4—32no—
610C2×C4—32no—
611C2×C4—91no—
612C2×C4—92no—
613C2×C4—92no—
614C2×C4—92no—
615C2×C4—122no—
616C2×C4—362no—
617C2×C4—362no—
618C2×C4C4×D3212yes—
619C2×C4C22×D3211yescharacteristic
620C8—32no—
621C8—32no—
622C8—32no—
623C8—32no—
624C8—92no—
625C8—92no—
626C8C4×D3212yes—
627C8C4×D3212yes—
628C2×C3—22no—
629C2×C3—21no—
630C2×C3—62no—
631C2×C3—62no—
632C2×C3C2×C42×D311yescharacteristic
633C2×C3C2×C42×D311yescharacteristic
634C2×C3#574512yes—
635C2×C3#575012yes—
636D3—22no—
637D3—22no—
638D3—62no—
639D3—62no—
640D3—122no—
641C22—32no—
642C22—32no—
643C22—62no—
644C22—62no—
645C22—92no—
646C22—182no—
647C22C2×C4×D3211yescharacteristic
648C4—22no—
649C4—32no—
650C4—32no—
651C4—62no—
652C4—62no—
653C4—92no—
654C4—182no—
655C4C2×C4×D3211yescharacteristic
656C4C2×C4×D3211yescharacteristic
657C3—21no—
658C3#7851611yescharacteristic, complemented
659C3#7855011yescharacteristic, complemented
660C2—62no—
661C2—62no—
662C2—182no—
663C2C42×D3211yescharacteristic
664C2#1059466812yes—
subgroupG/H
center, FrattiniC2×C4C22×D32
commutatorC2×C32C22×C42
FittingC32×C4×C8C22
socleC22×C32C23×C4
prime radicalC2×#3798C22
cosocleC2×C32×C4C24
hypercenterC4×C8D32
hypocenterC32#2875
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C4×C8

Complements

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

NH ≅ G/Ntype
4. #10592388C2semidirect
5. C3×#4689C2semidirect
6. C3×C4×ΓL(1,𝔽25)C2semidirect
7. #10590909C2semidirect
8. #10590908C2semidirect
9. #10590668C2semidirect
10. #10590667C2semidirect
11. #10590664C2semidirect
12. D3×#815C2semidirect
13. #10590321C2semidirect
14. #10590318C2semidirect
15. D3×#803C2semidirect
41. #63805C4semidirect
42. #63804C4semidirect
87. #4689D3semidirect
89. C4×ΓL(1,𝔽25)D3semidirect
110. #3743C2×C4semidirect
111. C8×C3⋊D3C2×C4semidirect
121. C3×ΓL(1,𝔽25)C2×C4semidirect
122. C3×ΓL(1,𝔽25)C2×C4semidirect
123. C3×ΓL(1,𝔽25)C2×C4semidirect
124. C3×D3×C8C2×C4semidirect
129. #3712C2×C4semidirect
130. #3711C2×C4semidirect
131. #3710C2×C4semidirect
132. D3×C3⋊C8C2×C4semidirect
133. D3×C3⋊C8C2×C4semidirect
134. D3×C3⋊C8C2×C4semidirect
361. ΓL(1,𝔽25)C4×D3semidirect
362. ΓL(1,𝔽25)C4×D3semidirect
363. ΓL(1,𝔽25)C4×D3semidirect
372. D3×C8C4×D3semidirect
595. C32#2875semidirect
658. C3#78516semidirect
659. C3#78550semidirect

Maximal subgroups

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

subgroupindex
C2×#638052
C2×#638042
#105939652
#105923882
C3×#46892
C3×C4×ΓL(1,𝔽25)2
#105909092
#105909082
#105906682
#105906672
#105906642
D3×#8152
#105903212
#105903182
D3×#8032
#785503
#785163