Finite Group Databasebeta

← #11858832

Subgroups — #11858832

Order 1152.

1027 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C42×D32C211yesmaximal, characteristic
2#10592384C211yesmaximal, characteristic, complemented
3C3×C4×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
4C3×#4685C211yesmaximal, characteristic, complemented
5#10590936C212yesmaximal
6#10590665C212yesmaximal, complemented
7#10590663C212yesmaximal, complemented
8#10590660C212yesmaximal, complemented
9C4×#3711C211yesmaximal, characteristic, complemented
10#10590297C211yesmaximal, characteristic, complemented
11#10590261C211yesmaximal, characteristic, complemented
12#79282—31nomaximal
13#78517—31nomaximal
14C2×C4×D32C411yescharacteristic
15C2×C4×D32C411yescharacteristic
16C2×C4×D32C2211yescharacteristic
17C42×C3⋊D3C2211yescharacteristic
18C2×C3×ΓL(1,𝔽25)C2212yes—
19C3×C42×D3C2211yescharacteristic
20C3×C42×D3C2211yescharacteristic
21C4×#624C411yescharacteristic
22C4×#624C411yescharacteristic
23C4×#624C2211yescharacteristic
24C4×D3×Dic3C411yescharacteristic
25C4×D3×Dic3C411yescharacteristic
26C4×D3×Dic3C411yescharacteristic
27C4×D3×Dic3C411yescharacteristic
28C4×D3×Dic3C2211yescharacteristic
29C4×D3×Dic3C2211yescharacteristic
30C2×#3711C2212yes—
31C32×C4×C8C2211yescharacteristic, complemented
32#63647C2212yes—
33#63641C2212yescomplemented
34C4×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
35C3×(C2×D3)⋊C8C2212yes—
36C3×#815C2212yescomplemented
37C3×Dic3⋊C8C2212yescomplemented
38C3×C4×C3⋊C8C2211yescharacteristic, complemented
39C3×C4×C3⋊C8C2211yescharacteristic, complemented
40#63572C2212yescomplemented
41Dic3⋊(C3⋊C8)C2212yescomplemented
42#63557C2212yes—
43(C2×D3)⋊(C3⋊C8)C2212yes—
44#63554C2212yescomplemented
45C2×C42×D3—31no—
46C2×C42×D3—31no—
47C3×#431—31no—
48C3×C4×M16—31no—
49#5126—32no—
50#5118—32no—
51#4925—31no—
52C4×#208—31no—
53#4837—32no—
54#4835—32no—
55#4726—32no—
56#4719—32no—
57#4705—32no—
58#4705—32no—
59C4×ΓL(1,𝔽25)—31no—
60C4×ΓL(1,𝔽25)D311yescharacteristic, complemented
61#4685—31no—
62#4685—31no—
63#4685—31no—
64#4685—31no—
65#4685—31no—
66#4685—61no—
67#4685D311yescharacteristic, complemented
68C22×D32C2×C411yescharacteristic
69C2×C4×C3⋊D3C2×C411yescharacteristic
70C2×C4×C3⋊D3C2×C411yescharacteristic
71C2×C4×C3⋊D3C2311yescharacteristic
72C2×C3×C4×D3C2×C411yescharacteristic
73C2×C3×C4×D3C2×C411yescharacteristic
74C2×C3×C4×D3C2×C411yescharacteristic
75C2×C3×C4×D3C2×C411yescharacteristic
76C2×C3×C4×D3C2311yescharacteristic
77C2×C3×C4×D3C2311yescharacteristic
78C2×#624C2×C411yescharacteristic
79C2×#624C2×C411yescharacteristic
80C2×#624C2×C411yescharacteristic
81C2×D3×Dic3C2×C411yescharacteristic
82C2×D3×Dic3C2×C411yescharacteristic
83C2×D3×Dic3C2×C411yescharacteristic
84C2×D3×Dic3C2×C411yescharacteristic
85C2×D3×Dic3C2×C411yescharacteristic
86C2×D3×Dic3C2×C411yescharacteristic
87C4×D32—24no—
88C4×D32—24no—
89C4×D32—24no—
90C2×C32×C8C2312yes—
91C32×C42C2311yescharacteristic
92C4×C3⋊Dic3C2×C411yescharacteristic
93C4×C3⋊Dic3C2×C411yescharacteristic
94C4×C3⋊Dic3C2311yescharacteristic
95C2×C3⋊(C3⋊C8)C2312yes—
96C3×C4×Dic3C2×C411yescharacteristic
97C3×C4×Dic3C2×C411yescharacteristic
98C3×C4×Dic3C2×C411yescharacteristic
99C3×C4×Dic3C2×C411yescharacteristic
100C3×C4×Dic3C2311yescharacteristic
101C3×C4×Dic3C2311yescharacteristic
102C2×C3×C3⋊C8C2312yes—
103C2×C3×C3⋊C8C2312yes—
104C3×ΓL(1,𝔽25)—24no—
105Dic32C2×C411yescharacteristic
106Dic32C2×C411yescharacteristic
107Dic32C2×C411yescharacteristic
108Dic32C2×C411yescharacteristic
109Dic32C2×C411yescharacteristic
110Dic32C2×C411yescharacteristic
111#3711—24no—
112#2920—91noSylow
113C22×C4×D3—31no—
114C22×C4×D3—31no—
115C22×C4×D3—31no—
116C22×C4×D3—31no—
117C22×C4×D3—31no—
118C22×C4×D3—31no—
119C2×C3×M16—32no—
120C2×C3×C42—31no—
121C2×C3×C42—31no—
122C2×C4×Dic3—31no—
123C2×C4×Dic3—31no—
124C2×C4×Dic3—31no—
125C2×C4×Dic3—31no—
126C2×C4×Dic3—31no—
127C2×C4×Dic3—31no—
128C2×#208—32no—
129C2×ΓL(1,𝔽25)—32no—
130C2×ΓL(1,𝔽25)C2×D312yes—
131C42×D3—31no—
132C42×D3—31no—
133C42×D3—31no—
134C42×D3—31no—
135C42×D3—31no—
136C42×D3—31no—
137C42×D3—31no—
138C42×D3—31no—
139C42×D3—31no—
140C42×D3—31no—
141C42×D3—31no—
142C42×D3—31no—
143C42×D3—31no—
144C42×D3—31no—
145C42×D3—61no—
146C42×D3C2×D311yescharacteristic
147C42×D3C2×D311yescharacteristic
148C3×C4⋊C8—32no—
149C3×C22⋊C8—32no—
150C3×#97—32no—
151C3×C4×C8—21no—
152C3×C4×C8—31no—
153C3×C4×C8—31no—
154C3×C4×C8C2×D311yescharacteristic, complemented
155C3×C4×C8C2×D311yescharacteristic, complemented
156#830—32no—
157(C2×D3)⋊C8—32no—
158(C2×D3)⋊C8—32no—
159(C2×D3)⋊C8—32no—
160(C2×D3)⋊C8—32no—
161(C2×D3)⋊C8—32no—
162(C2×D3)⋊C8—62no—
163(C2×D3)⋊C8C2×D312yes—
164#815—32no—
165#815C2×D312yescomplemented
166Dic3⋊C8—32no—
167Dic3⋊C8—32no—
168Dic3⋊C8—32no—
169Dic3⋊C8—32no—
170Dic3⋊C8—32no—
171Dic3⋊C8—62no—
172Dic3⋊C8C2×D312yescomplemented
173C4⋊(C3⋊C8)—32no—
174#803—32no—
175C4×C3⋊C8—31no—
176C4×C3⋊C8—31no—
177C4×C3⋊C8—61no—
178C4×C3⋊C8C2×D311yescharacteristic, complemented
179C4×C3⋊C8C2×D311yescharacteristic, complemented
180C22×C3⋊D3C22×C411yescharacteristic
181C22×C3×D3C22×C411yescharacteristic
182C22×C3×D3C22×C411yescharacteristic
183C2×D32—22no—
184C2×D32—22no—
185C2×D32—22no—
186C2×C32×C4C22×C411yescharacteristic
187C2×C32×C4C22×C411yescharacteristic
188C2×C32×C4C2411yescharacteristic
189C2×C3⋊Dic3C22×C411yescharacteristic
190C2×C3⋊Dic3C22×C411yescharacteristic
191C2×C3⋊Dic3C22×C411yescharacteristic
192C4×C3⋊D3—22no—
193C4×C3⋊D3—22no—
194C4×C3⋊D3M1614yescomplemented
195C2×C3×Dic3C22×C411yescharacteristic
196C2×C3×Dic3C22×C411yescharacteristic
197C2×C3×Dic3C22×C411yescharacteristic
198C2×C3×Dic3C22×C411yescharacteristic
199C2×C3×Dic3C22×C411yescharacteristic
200C2×C3×Dic3C22×C411yescharacteristic
201C3×C4×D3—22no—
202C3×C4×D3—22no—
203C3×C4×D3—22no—
204C3×C4×D3—22no—
205C3×C4×D3M1614yescomplemented
206C3×C4×D3#4114yes—
207#624—22no—
208#624—22no—
209#624—22no—
210D3×Dic3—22no—
211D3×Dic3—22no—
212D3×Dic3—22no—
213D3×Dic3—22no—
214D3×Dic3—22no—
215D3×Dic3—22no—
216C32×C8—22no—
217C3⋊(C3⋊C8)—22no—
218C3×C3⋊C8—22no—
219C3×C3⋊C8—22no—
220C22×C42—91no—
221#432—92no—
222#432—92no—
223#431—31no—
224#431—91no—
225#431—91no—
226#431—91no—
227#423—92no—
228#407—92no—
229C4×M16—31no—
230C4×M16—91no—
231C23×D3—31no—
232C23×D3—31no—
233C22×C3×C4—31no—
234C22×C3×C4—31no—
235C22×C3×C4—31no—
236C22×C3×C4—31no—
237C22×C3×C4—31no—
238C22×C3×C4—31no—
239C22×Dic3—31no—
240C22×Dic3—31no—
241C22×Dic3—31no—
242C22×Dic3—31no—
243C22×Dic3—31no—
244C22×Dic3—31no—
245C2×C4×D3—31no—
246C2×C4×D3—31no—
247C2×C4×D3—31no—
248C2×C4×D3—31no—
249C2×C4×D3—31no—
250C2×C4×D3—31no—
251C2×C4×D3—31no—
252C2×C4×D3—31no—
253C2×C4×D3—31no—
254C2×C4×D3—31no—
255C2×C4×D3—31no—
256C2×C4×D3—31no—
257C2×C4×D3—31no—
258C2×C4×D3—31no—
259C2×C4×D3—31no—
260C2×C4×D3—31no—
261C2×C4×D3—31no—
262C2×C4×D3—31no—
263C2×C4×D3—61no—
264C2×C4×D3—61no—
265C2×C4×D3—61no—
266C2×C4×D3—64no—
267C2×C4×D3—64no—
268C2×C4×D3—64no—
269C2×C4×D3—64no—
270C2×C4×D3—64no—
271C2×C4×D3—64no—
272C2×C4×D3C4×D311yescharacteristic
273C2×C4×D3C4×D311yescharacteristic
274C2×C4×D3C4×D311yescharacteristic
275C2×C4×D3C4×D311yescharacteristic
276C2×C4×D3C22×D311yescharacteristic
277C2×C4×D3C22×D311yescharacteristic
278C3×M16—64no—
279C2×C3×C8—22no—
280C2×C3×C8—32no—
281C2×C3×C8—32no—
282C2×C3×C8C22×D312yes—
283C2×C3×C8C22×D312yes—
284C3×C42—21no—
285C3×C42—31no—
286C3×C42—31no—
287C3×C42—31no—
288C3×C42—31no—
289C3×C42—31no—
290C3×C42—31no—
291C3×C42C22×D311yescharacteristic
292C3×C42C22×D311yescharacteristic
293C4×Dic3—31no—
294C4×Dic3—31no—
295C4×Dic3—31no—
296C4×Dic3—31no—
297C4×Dic3—31no—
298C4×Dic3—31no—
299C4×Dic3—31no—
300C4×Dic3—31no—
301C4×Dic3—31no—
302C4×Dic3—31no—
303C4×Dic3—31no—
304C4×Dic3—31no—
305C4×Dic3—31no—
306C4×Dic3—31no—
307C4×Dic3—31no—
308C4×Dic3—31no—
309C4×Dic3—31no—
310C4×Dic3—31no—
311C4×Dic3—61no—
312C4×Dic3—61no—
313C4×Dic3—61no—
314C4×Dic3C4×D311yescharacteristic
315C4×Dic3C4×D311yescharacteristic
316C4×Dic3C4×D311yescharacteristic
317C4×Dic3C4×D311yescharacteristic
318C4×Dic3C22×D311yescharacteristic
319C4×Dic3C22×D311yescharacteristic
320#208—64no—
321C2×C3⋊C8—32no—
322C2×C3⋊C8—32no—
323C2×C3⋊C8—62no—
324C2×C3⋊C8C22×D312yes—
325C2×C3⋊C8C22×D312yes—
326ΓL(1,𝔽25)—24no—
327ΓL(1,𝔽25)—64no—
328C22×C32C23×C411yescharacteristic
329C2×C3⋊D3—21no—
330C2×C3⋊D3—21no—
331C2×C3⋊D3C2×M1612yes—
332C2×C3×D3—21no—
333C2×C3×D3—21no—
334C2×C3×D3—21no—
335C2×C3×D3—21no—
336C2×C3×D3#11712yes—
337C2×C3×D3C2×M1612yes—
338D32—28no—
339C32×C4C2×M1612yes—
340C32×C4C2×M1612yes—
341C32×C4C2×#4112yes—
342C3⋊Dic3—21no—
343C3⋊Dic3—21no—
344C3⋊Dic3C2×M1612yes—
345C3×Dic3—21no—
346C3×Dic3—21no—
347C3×Dic3—21no—
348C3×Dic3—21no—
349C3×Dic3#11712yes—
350C3×Dic3C2×M1612yes—
351C23×C4—91no—
352C23×C4—91no—
353C23×C4—91no—
354C2×M16—32no—
355C2×M16—92no—
356C2×C42—31no—
357C2×C42—31no—
358C2×C42—91no—
359C2×C42—91no—
360C2×C42—91no—
361C2×C42—91no—
362C2×C42—91no—
363C2×C42—91no—
364C2×C42—91no—
365C2×C42—91no—
366C2×C42—91no—
367C2×C42—91no—
368C4⋊C8—32no—
369C4⋊C8—92no—
370C4⋊C8—92no—
371C4⋊C8—92no—
372C22⋊C8—32no—
373C22⋊C8—92no—
374C22⋊C8—92no—
375C22⋊C8—92no—
376#97—32no—
377#97—92no—
378C4×C8—31no—
379C4×C8—31no—
380C4×C8—91no—
381C4×C8D3211yescharacteristic, complemented
382C23×C3—31no—
383C23×C3—31no—
384C22×D3—31no—
385C22×D3—31no—
386C22×D3—61no—
387C22×D3—62no—
388C22×D3—62no—
389C22×D3—62no—
390C22×D3—62no—
391C22×D3—62no—
392C22×D3—62no—
393C22×D3C2×C4×D311yescharacteristic
394C22×D3C2×C4×D311yescharacteristic
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—31no—
399C2×C3×C4—31no—
400C2×C3×C4—34no—
401C2×C3×C4—34no—
402C2×C3×C4—31no—
403C2×C3×C4—31no—
404C2×C3×C4—31no—
405C2×C3×C4—31no—
406C2×C3×C4—62no—
407C2×C3×C4—62no—
408C2×C3×C4—62no—
409C2×C3×C4—62no—
410C2×C3×C4C2×C4×D311yescharacteristic
411C2×C3×C4C2×C4×D311yescharacteristic
412C2×C3×C4C2×C4×D311yescharacteristic
413C2×C3×C4C2×C4×D311yescharacteristic
414C2×C3×C4C23×D311yescharacteristic
415C2×C3×C4C23×D311yescharacteristic
416C2×Dic3—31no—
417C2×Dic3—31no—
418C2×Dic3—31no—
419C2×Dic3—31no—
420C2×Dic3—31no—
421C2×Dic3—31no—
422C2×Dic3—61no—
423C2×Dic3—61no—
424C2×Dic3—61no—
425C2×Dic3—62no—
426C2×Dic3—62no—
427C2×Dic3—62no—
428C2×Dic3—62no—
429C2×Dic3—62no—
430C2×Dic3—62no—
431C2×Dic3C2×C4×D311yescharacteristic
432C2×Dic3C2×C4×D311yescharacteristic
433C2×Dic3C2×C4×D311yescharacteristic
434C2×Dic3C2×C4×D311yescharacteristic
435C2×Dic3C2×C4×D311yescharacteristic
436C2×Dic3C2×C4×D311yescharacteristic
437C4×D3—22no—
438C4×D3—22no—
439C4×D3—22no—
440C4×D3—22no—
441C4×D3—34no—
442C4×D3—34no—
443C4×D3—64no—
444C4×D3—62no—
445C4×D3—62no—
446C4×D3—62no—
447C4×D3—62no—
448C4×D3—62no—
449C4×D3—62no—
450C4×D3—62no—
451C4×D3—62no—
452C4×D3—62no—
453C4×D3—62no—
454C4×D3—62no—
455C4×D3—62no—
456C4×D3—62no—
457C4×D3—62no—
458C4×D3—62no—
459C4×D3—62no—
460C4×D3—122no—
461C4×D3—122no—
462C4×D3ΓL(1,𝔽25)14yescomplemented
463C4×D3#23514yes—
464C3×C8—22no—
465C3×C8—22no—
466C3×C8—42no—
467C3×C8—62no—
468C3×C8—62no—
469C3⋊C8—22no—
470C3⋊C8—22no—
471C3⋊C8—62no—
472C3⋊C8—62no—
473C3⋊C8—122no—
474C2×C32C2×#11711yescharacteristic
475C2×C32C22×M1611yescharacteristic
476C2×C32C22×M1611yescharacteristic
477C3⋊D3—22no—
478C3×D3—22no—
479C3×D3—22no—
480C24—91no—
481C22×C4—31no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—31no—
486C22×C4—31no—
487C22×C4—91no—
488C22×C4—91no—
489C22×C4—91no—
490C22×C4—91no—
491C22×C4—91no—
492C22×C4—91no—
493C22×C4—91no—
494C22×C4—91no—
495C22×C4—91no—
496C22×C4—91no—
497C22×C4—91no—
498C22×C4—91no—
499C22×C4—184no—
500C22×C4—184no—
501C22×C4—184no—
502M16—64no—
503M16—184no—
504C2×C8—32no—
505C2×C8—32no—
506C2×C8—92no—
507C2×C8C2×D3212yes—
508C42—31no—
509C42—31no—
510C42—31no—
511C42—31no—
512C42—31no—
513C42—31no—
514C42—91no—
515C42—91no—
516C42—91no—
517C42—91no—
518C42—91no—
519C42—91no—
520C42—91no—
521C42—91no—
522C42—91no—
523C42C2×D3211yescharacteristic
524C22×C3—21no—
525C22×C3—32no—
526C22×C3—32no—
527C22×C3—61no—
528C22×C3—61no—
529C22×C3—61no—
530C22×C3—61no—
531C22×C3C22×C4×D311yescharacteristic
532C22×C3C22×C4×D311yescharacteristic
533C2×D3—21no—
534C2×D3—21no—
535C2×D3—21no—
536C2×D3—21no—
537C2×D3—32no—
538C2×D3—32no—
539C2×D3—62no—
540C2×D3—68no—
541C2×D3—68no—
542C2×D3—61no—
543C2×D3—61no—
544C2×D3—61no—
545C2×D3—61no—
546C2×D3—121no—
547C2×D3—121no—
548C2×D3#87212yes—
549C2×D3C2×ΓL(1,𝔽25)12yes—
550C3×C4—22no—
551C3×C4—22no—
552C3×C4—22no—
553C3×C4—32no—
554C3×C4—32no—
555C3×C4—61no—
556C3×C4—61no—
557C3×C4—61no—
558C3×C4—61no—
559C3×C4C2×ΓL(1,𝔽25)12yes—
560C3×C4D3×M1612yes—
561C3×C4D3×M1612yes—
562C3×C4D3×M1612yes—
563C3×C4C2×#23512yes—
564C3×C4D3×#4112yes—
565Dic3—21no—
566Dic3—21no—
567Dic3—21no—
568Dic3—21no—
569Dic3—32no—
570Dic3—32no—
571Dic3—62no—
572Dic3—61no—
573Dic3—61no—
574Dic3—61no—
575Dic3—61no—
576Dic3—121no—
577Dic3—121no—
578Dic3#87212yes—
579Dic3C2×ΓL(1,𝔽25)12yes—
580C32#292011yescharacteristic, complemented, Sylow
581C23—31no—
582C23—31no—
583C23—91no—
584C23—182no—
585C23—182no—
586C23—182no—
587C2×C4—31no—
588C2×C4—31no—
589C2×C4—34no—
590C2×C4—34no—
591C2×C4—31no—
592C2×C4—31no—
593C2×C4—31no—
594C2×C4—31no—
595C2×C4—62no—
596C2×C4—62no—
597C2×C4—62no—
598C2×C4—62no—
599C2×C4—91no—
600C2×C4—94no—
601C2×C4—91no—
602C2×C4—91no—
603C2×C4—182no—
604C2×C4—182no—
605C2×C4—182no—
606C2×C4—182no—
607C2×C4—182no—
608C2×C4—182no—
609C2×C4—182no—
610C2×C4—182no—
611C2×C4—182no—
612C2×C4—182no—
613C2×C4—182no—
614C2×C4C4×D3211yescharacteristic
615C2×C4C4×D3211yescharacteristic
616C2×C4C22×D3211yescharacteristic
617C8—22no—
618C8—62no—
619C8—62no—
620C8—182no—
621C2×C3—21no—
622C2×C3—21no—
623C2×C3—21no—
624C2×C3—62no—
625C2×C3—62no—
626C2×C3C2×#87211yescharacteristic
627C2×C3D3×#11711yescharacteristic
628C2×C3C22×ΓL(1,𝔽25)11yescharacteristic
629C2×C3C2×D3×M1611yescharacteristic
630C2×C3C2×D3×M1611yescharacteristic
631C2×C3C2×D3×M1611yescharacteristic
632D3—22no—
633D3—22no—
634D3—62no—
635D3—62no—
636D3—122no—
637C22—32no—
638C22—32no—
639C22—61no—
640C22—61no—
641C22—61no—
642C22—61no—
643C22—92no—
644C22—188no—
645C22—181no—
646C22—181no—
647C22C2×C4×D3211yescharacteristic
648C4—32no—
649C4—32no—
650C4—61no—
651C4—61no—
652C4—61no—
653C4—61no—
654C4—92no—
655C4—181no—
656C4—181no—
657C4D3×ΓL(1,𝔽25)12yes—
658C4#6379112yes—
659C4D3×#23512yes—
660C3—21no—
661C3#7851711yescharacteristic, complemented
662C3#7928211yescharacteristic, complemented
663C2—62no—
664C2—62no—
665C2—182no—
666C2D3×#87211yescharacteristic
667C2C2×D3×ΓL(1,𝔽25)11yescharacteristic
668C2C2×#6379111yescharacteristic
subgroupG/H
centerC42C2×D32
commutator, socleC22×C32C23×C4
FrattiniC2×C4C22×D32
FittingC32×C4×C8C22
prime radicalC22×D32C2×C4
cosocleC2×C32×C4C24
hypercenterC4×C8D32
hypocenterC32#2920
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C42 ◁ C4×C8

Complements

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

NH ≅ G/Ntype
2. #10592384C2semidirect
3. C3×C4×ΓL(1,𝔽25)C2semidirect
4. C3×#4685C2semidirect
6. #10590665C2semidirect
7. #10590663C2semidirect
8. #10590660C2semidirect
9. C4×#3711C2semidirect
10. #10590297C2semidirect
11. #10590261C2semidirect
31. C32×C4×C8C22semidirect
33. #63641C22semidirect
34. C4×C3⋊(C3⋊C8)C22semidirect
36. C3×#815C22semidirect
37. C3×Dic3⋊C8C22semidirect
38. C3×C4×C3⋊C8C22semidirect
39. C3×C4×C3⋊C8C22semidirect
40. #63572C22semidirect
41. Dic3⋊(C3⋊C8)C22semidirect
44. #63554C22semidirect
60. C4×ΓL(1,𝔽25)D3semidirect
67. #4685D3semidirect
154. C3×C4×C8C2×D3semidirect
155. C3×C4×C8C2×D3semidirect
165. #815C2×D3semidirect
172. Dic3⋊C8C2×D3semidirect
178. C4×C3⋊C8C2×D3semidirect
179. C4×C3⋊C8C2×D3semidirect
194. C4×C3⋊D3M16semidirect
205. C3×C4×D3M16semidirect
381. C4×C8D32semidirect
462. C4×D3ΓL(1,𝔽25)semidirect
580. C32#2920semidirect
661. C3#78517semidirect
662. C3#79282semidirect

Maximal subgroups

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

subgroupindex
C42×D322
#105923842
C3×C4×ΓL(1,𝔽25)2
C3×#46852
#105909362
#105906652
#105906632
#105906602
C4×#37112
#105902972
#105902612
#792823
#785173