Finite Group Databasebeta

← C2×#10590936 #11857366

Subgroups — C2×#10590936 #11857366

Order 1152.

2117 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D32C211yesmaximal, characteristic
2C22×C3×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
3C22×#3711C211yesmaximal, characteristic, complemented
4C2×#63647C211yesmaximal, characteristic, complemented
5C2×C3×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
6C2×#63557C211yesmaximal, characteristic, complemented
7C2×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
8#10590936C218yesmaximal, direct product factor
9C2×#5126—31nomaximal
10C2×#4726—31nomaximal
11C23×D32C411yescharacteristic
12C22×C4×C3⋊D3C2211yescharacteristic
13C22×C3×C4×D3C2211yescharacteristic
14C22×C3×C4×D3C2211yescharacteristic
15C22×#624C411yescharacteristic
16C22×D3×Dic3C411yescharacteristic
17C22×D3×Dic3C411yescharacteristic
18C2×C4×D32—24no—
19C2×C4×D32—24no—
20C2×C4×D32C414yes—
21C2×C4×D32C2214yes—
22C22×C32×C8C2211yescharacteristic, complemented
23C22×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
24C22×C3×C3⋊C8C2211yescharacteristic, complemented
25C22×C3×C3⋊C8C2211yescharacteristic, complemented
26C2×C3×ΓL(1,𝔽25)—24no—
27C2×C3×ΓL(1,𝔽25)C2214yescomplemented
28C2×#3711—24no—
29C2×#3711C2214yescomplemented
30#63647C2214yescomplemented
31C3×(C2×D3)⋊C8C2214yescomplemented
32#63557C2214yescomplemented
33(C2×D3)⋊(C3⋊C8)C2214yescomplemented
34C23×C4×D3—31no—
35C23×C4×D3—31no—
36C22×C3×M16—31no—
37C22×#208—31no—
38C22×ΓL(1,𝔽25)—31no—
39C22×ΓL(1,𝔽25)D311yescharacteristic, complemented
40C2×C3×C22⋊C8—31no—
41C2×#830—31no—
42#5126—38no—
43C2×(C2×D3)⋊C8—31no—
44C2×(C2×D3)⋊C8—31no—
45C2×(C2×D3)⋊C8—31no—
46C2×(C2×D3)⋊C8—31no—
47C2×(C2×D3)⋊C8—31no—
48C2×(C2×D3)⋊C8—61no—
49C2×(C2×D3)⋊C8D311yescharacteristic, complemented
50#4726—38no—
51C23×C3⋊D3C2×C411yescharacteristic
52C23×C3×D3C2×C411yescharacteristic
53C23×C3×D3C2×C411yescharacteristic
54C22×D32—24no—
55C22×D32—24no—
56C22×D32—24no—
57C22×D32C2×C414yes—
58C22×C32×C4C2311yescharacteristic
59C22×C3⋊Dic3C2×C411yescharacteristic
60C2×C4×C3⋊D3—22no—
61C2×C4×C3⋊D3—22no—
62C2×C4×C3⋊D3C2×C412yes—
63C2×C4×C3⋊D3C2312yes—
64C22×C3×Dic3C2×C411yescharacteristic
65C22×C3×Dic3C2×C411yescharacteristic
66C2×C3×C4×D3—22no—
67C2×C3×C4×D3—22no—
68C2×C3×C4×D3C2×C412yes—
69C2×C3×C4×D3C2×C412yes—
70C2×C3×C4×D3D414yes—
71C2×C3×C4×D3D414yes—
72C2×C3×C4×D3C2312yes—
73C2×C3×C4×D3C2312yes—
74C2×#624—24no—
75C2×#624C2×C414yes—
76C2×D3×Dic3—24no—
77C2×D3×Dic3—24no—
78C2×D3×Dic3C2×C414yes—
79C2×D3×Dic3C2×C414yes—
80C4×D32—216no—
81C4×D32—28no—
82C4×D32—28no—
83C2×C32×C8—22no—
84C2×C32×C8C2312yescomplemented
85C2×C3⋊(C3⋊C8)—22no—
86C2×C3⋊(C3⋊C8)C2312yescomplemented
87C2×C3×C3⋊C8—22no—
88C2×C3×C3⋊C8—22no—
89C2×C3×C3⋊C8C2312yescomplemented
90C2×C3×C3⋊C8C2312yescomplemented
91C3×ΓL(1,𝔽25)—28no—
92#3711—28no—
93C2×#407—91noSylow
94C24×D3—31no—
95C24×D3—31no—
96C23×C3×C4—31no—
97C23×C3×C4—31no—
98C23×Dic3—31no—
99C23×Dic3—31no—
100C22×C4×D3—31no—
101C22×C4×D3—31no—
102C22×C4×D3—31no—
103C22×C4×D3—31no—
104C22×C4×D3—31no—
105C22×C4×D3—31no—
106C22×C4×D3—34no—
107C22×C4×D3—34no—
108C22×C4×D3—34no—
109C22×C4×D3—34no—
110C22×C4×D3—61no—
111C22×C4×D3—64no—
112C22×C4×D3—64no—
113C22×C4×D3—64no—
114C22×C4×D3—64no—
115C22×C4×D3C2×D311yescharacteristic
116C22×C4×D3C2×D311yescharacteristic
117C2×C3×M16—34no—
118C2×C3×M16—64no—
119C22×C3×C8—21no—
120C22×C3×C8—31no—
121C22×C3×C8—31no—
122C22×C3×C8C2×D311yescharacteristic, complemented
123C22×C3×C8C2×D311yescharacteristic, complemented
124C2×#208—34no—
125C2×#208—64no—
126C22×C3⋊C8—31no—
127C22×C3⋊C8—31no—
128C22×C3⋊C8—61no—
129C22×C3⋊C8C2×D311yescharacteristic, complemented
130C22×C3⋊C8C2×D311yescharacteristic, complemented
131C2×ΓL(1,𝔽25)—24no—
132C2×ΓL(1,𝔽25)—34no—
133C2×ΓL(1,𝔽25)—64no—
134C2×ΓL(1,𝔽25)C2×D314yescomplemented
135C3×C22⋊C8—34no—
136#830—34no—
137(C2×D3)⋊C8—34no—
138(C2×D3)⋊C8—34no—
139(C2×D3)⋊C8—34no—
140(C2×D3)⋊C8—34no—
141(C2×D3)⋊C8—34no—
142(C2×D3)⋊C8—64no—
143(C2×D3)⋊C8C2×D314yescomplemented
144C23×C32C22×C411yescharacteristic
145C22×C3⋊D3—22no—
146C22×C3⋊D3—22no—
147C22×C3⋊D3M1614yescomplemented
148C22×C3⋊D3C22×C412yes—
149C22×C3×D3—22no—
150C22×C3×D3—22no—
151C22×C3×D3—22no—
152C22×C3×D3—22no—
153C22×C3×D3C22⋊C414yes—
154C22×C3×D3M1614yescomplemented
155C22×C3×D3C22×C412yes—
156C22×C3×D3C22×C412yes—
157C2×D32—232no—
158C2×D32—28no—
159C2×D32—28no—
160C2×D32—28no—
161C2×C32×C4C22×C411yescharacteristic
162C2×C32×C4C2×D412yes—
163C2×C32×C4C2×D412yes—
164C2×C32×C4C2411yescharacteristic
165C2×C3⋊Dic3—22no—
166C2×C3⋊Dic3C22×C412yes—
167C4×C3⋊D3—24no—
168C4×C3⋊D3—22no—
169C4×C3⋊D3—22no—
170C2×C3×Dic3—22no—
171C2×C3×Dic3C22⋊C414yes—
172C2×C3×Dic3C22×C412yes—
173C2×C3×Dic3C22×C412yes—
174C3×C4×D3—24no—
175C3×C4×D3—22no—
176C3×C4×D3—22no—
177C3×C4×D3C22⋊C418yes—
178C3×C4×D3C2×D414yes—
179C3×C4×D3C2×D414yes—
180#624—28no—
181D3×Dic3—28no—
182D3×Dic3—28no—
183C32×C8—22no—
184C3⋊(C3⋊C8)—22no—
185C3×C3⋊C8—22no—
186C3×C3⋊C8—22no—
187C24×C4—91no—
188C22×M16—31no—
189C22×M16—91no—
190#407—98no—
191C2×C22⋊C8—31no—
192C2×C22⋊C8—91no—
193C2×C22⋊C8—91no—
194C2×C22⋊C8—91no—
195C24×C3—31no—
196C24×C3—31no—
197C23×D3—31no—
198C23×D3—31no—
199C23×D3—34no—
200C23×D3—34no—
201C23×D3—61no—
202C23×D3—64no—
203C23×D3—64no—
204C23×D3—64no—
205C23×D3—64no—
206C23×D3—64no—
207C23×D3—64no—
208C23×D3C4×D311yescharacteristic
209C23×D3C4×D311yescharacteristic
210C22×C3×C4—21no—
211C22×C3×C4—31no—
212C22×C3×C4—32no—
213C22×C3×C4—34no—
214C22×C3×C4—34no—
215C22×C3×C4—32no—
216C22×C3×C4—31no—
217C22×C3×C4—32no—
218C22×C3×C4—32no—
219C22×C3×C4—62no—
220C22×C3×C4—62no—
221C22×C3×C4C22×D311yescharacteristic
222C22×C3×C4C22×D311yescharacteristic
223C22×Dic3—31no—
224C22×Dic3—31no—
225C22×Dic3—34no—
226C22×Dic3—34no—
227C22×Dic3—61no—
228C22×Dic3—64no—
229C22×Dic3—64no—
230C22×Dic3C4×D311yescharacteristic
231C22×Dic3C4×D311yescharacteristic
232C2×C4×D3—22no—
233C2×C4×D3—22no—
234C2×C4×D3—34no—
235C2×C4×D3—34no—
236C2×C4×D3—32no—
237C2×C4×D3—32no—
238C2×C4×D3—32no—
239C2×C4×D3—32no—
240C2×C4×D3—34no—
241C2×C4×D3—34no—
242C2×C4×D3—62no—
243C2×C4×D3—62no—
244C2×C4×D3—616no—
245C2×C4×D3—68no—
246C2×C4×D3—68no—
247C2×C4×D3—64no—
248C2×C4×D3—64no—
249C2×C4×D3—64no—
250C2×C4×D3—62no—
251C2×C4×D3—62no—
252C2×C4×D3—62no—
253C2×C4×D3—62no—
254C2×C4×D3—64no—
255C2×C4×D3—616no—
256C2×C4×D3—68no—
257C2×C4×D3—68no—
258C2×C4×D3—122no—
259C2×C4×D3—122no—
260C2×C4×D3C4×D312yes—
261C2×C4×D3C4×D312yes—
262C2×C4×D3D1214yes—
263C2×C4×D3#6714yes—
264C2×C4×D3C22×D312yes—
265C2×C4×D3C22×D312yes—
266C3×M16—68no—
267C2×C3×C8—22no—
268C2×C3×C8—22no—
269C2×C3×C8—22no—
270C2×C3×C8—32no—
271C2×C3×C8—32no—
272C2×C3×C8—42no—
273C2×C3×C8—62no—
274C2×C3×C8—62no—
275C2×C3×C8C22×D312yescomplemented
276C2×C3×C8C22×D312yescomplemented
277#208—68no—
278C2×C3⋊C8—22no—
279C2×C3⋊C8—22no—
280C2×C3⋊C8—32no—
281C2×C3⋊C8—32no—
282C2×C3⋊C8—62no—
283C2×C3⋊C8—62no—
284C2×C3⋊C8—62no—
285C2×C3⋊C8—122no—
286C2×C3⋊C8C22×D312yescomplemented
287C2×C3⋊C8C22×D312yescomplemented
288ΓL(1,𝔽25)—28no—
289ΓL(1,𝔽25)—68no—
290C22×C32C2×C22⋊C412yes—
291C22×C32C2×M1612yes—
292C22×C32C2×M1612yes—
293C22×C32C23×C411yescharacteristic
294C2×C3⋊D3—22no—
295C2×C3⋊D3—22no—
296C2×C3⋊D3—28no—
297C2×C3⋊D3C2×M1614yescomplemented
298C2×C3×D3—22no—
299C2×C3×D3—22no—
300C2×C3×D3—22no—
301C2×C3×D3—22no—
302C2×C3×D3—28no—
303C2×C3×D3—28no—
304C2×C3×D3C2×C22⋊C414yes—
305C2×C3×D3C2×M1614yescomplemented
306D32—232no—
307C32×C4C2×C22⋊C412yes—
308C32×C4C22×D411yescharacteristic
309C32×C4C22×D411yescharacteristic
310C3⋊Dic3—22no—
311C3×Dic3—22no—
312C3×Dic3C2×C22⋊C414yes—
313C25—91no—
314C23×C4—31no—
315C23×C4—31no—
316C23×C4—94no—
317C23×C4—91no—
318C23×C4—94no—
319C23×C4—91no—
320C23×C4—91no—
321C23×C4—91no—
322C23×C4—184no—
323C23×C4—184no—
324C2×M16—34no—
325C2×M16—64no—
326C2×M16—94no—
327C2×M16—184no—
328C22×C8—31no—
329C22×C8—31no—
330C22×C8—91no—
331C22×C8D3211yescharacteristic, complemented
332C22⋊C8—34no—
333C22⋊C8—94no—
334C22⋊C8—94no—
335C22⋊C8—94no—
336C23×C3—21no—
337C23×C3—34no—
338C23×C3—34no—
339C23×C3—32no—
340C23×C3—32no—
341C23×C3—62no—
342C23×C3—62no—
343C23×C3—62no—
344C23×C3—62no—
345C23×C3C2×C4×D311yescharacteristic
346C23×C3C2×C4×D311yescharacteristic
347C22×D3—22no—
348C22×D3—22no—
349C22×D3—22no—
350C22×D3—22no—
351C22×D3—34no—
352C22×D3—34no—
353C22×D3—32no—
354C22×D3—32no—
355C22×D3—64no—
356C22×D3—62no—
357C22×D3—68no—
358C22×D3—68no—
359C22×D3—68no—
360C22×D3—68no—
361C22×D3—632no—
362C22×D3—632no—
363C22×D3—62no—
364C22×D3—62no—
365C22×D3—62no—
366C22×D3—62no—
367C22×D3—68no—
368C22×D3—68no—
369C22×D3—122no—
370C22×D3—122no—
371C22×D3ΓL(1,𝔽25)14yescomplemented
372C22×D3(C2×D3)⋊C414yes—
373C22×D3C2×C4×D312yes—
374C22×D3C2×C4×D312yes—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—34no—
380C2×C3×C4—32no—
381C2×C3×C4—38no—
382C2×C3×C4—34no—
383C2×C3×C4—34no—
384C2×C3×C4—32no—
385C2×C3×C4—62no—
386C2×C3×C4—64no—
387C2×C3×C4—62no—
388C2×C3×C4—62no—
389C2×C3×C4C2×C4×D311yescharacteristic
390C2×C3×C4C2×C4×D311yescharacteristic
391C2×C3×C4C2×D1212yes—
392C2×C3×C4D3×D412yes—
393C2×C3×C4D3×D412yes—
394C2×C3×C4C2×#6712yes—
395C2×C3×C4C23×D311yescharacteristic
396C2×C3×C4C23×D311yescharacteristic
397C2×Dic3—22no—
398C2×Dic3—32no—
399C2×Dic3—32no—
400C2×Dic3—62no—
401C2×Dic3—68no—
402C2×Dic3—62no—
403C2×Dic3—62no—
404C2×Dic3—68no—
405C2×Dic3—122no—
406C2×Dic3(C2×D3)⋊C414yes—
407C2×Dic3C2×C4×D312yes—
408C2×Dic3C2×C4×D312yes—
409C4×D3—24no—
410C4×D3—22no—
411C4×D3—22no—
412C4×D3—68no—
413C4×D3—68no—
414C4×D3—68no—
415C4×D3—64no—
416C4×D3—64no—
417C4×D3—62no—
418C4×D3—62no—
419C4×D3—62no—
420C4×D3—62no—
421C4×D3—68no—
422C4×D3—122no—
423C4×D3—122no—
424C4×D3—124no—
425C4×D3(C2×D3)⋊C418yes—
426C4×D3C2×D1214yes—
427C4×D3C2×#6714yes—
428C3×C8—22no—
429C3×C8—22no—
430C3×C8—42no—
431C3×C8—62no—
432C3×C8—62no—
433C3⋊C8—22no—
434C3⋊C8—22no—
435C3⋊C8—62no—
436C3⋊C8—62no—
437C3⋊C8—122no—
438C2×C32#40714yescomplemented
439C2×C32C22×C22⋊C411yescharacteristic
440C2×C32C22×M1611yescharacteristic
441C2×C32C22×M1611yescharacteristic
442C3⋊D3—24no—
443C3×D3—24no—
444C3×D3—24no—
445C24—31no—
446C24—31no—
447C24—94no—
448C24—91no—
449C24—184no—
450C24—184no—
451C24—184no—
452C22×C4—31no—
453C22×C4—32no—
454C22×C4—32no—
455C22×C4—34no—
456C22×C4—34no—
457C22×C4—31no—
458C22×C4—32no—
459C22×C4—32no—
460C22×C4—62no—
461C22×C4—62no—
462C22×C4—94no—
463C22×C4—94no—
464C22×C4—94no—
465C22×C4—91no—
466C22×C4—92no—
467C22×C4—92no—
468C22×C4—184no—
469C22×C4—188no—
470C22×C4—188no—
471C22×C4—1816no—
472C22×C4—184no—
473C22×C4—184no—
474C22×C4—182no—
475C22×C4—182no—
476C22×C4C2×D3211yescharacteristic
477M16—68no—
478M16—188no—
479C2×C8—22no—
480C2×C8—32no—
481C2×C8—32no—
482C2×C8—62no—
483C2×C8—62no—
484C2×C8—92no—
485C2×C8—182no—
486C2×C8C2×D3212yescomplemented
487C22×C3—22no—
488C22×C3—21no—
489C22×C3—22no—
490C22×C3—22no—
491C22×C3—34no—
492C22×C3—34no—
493C22×C3—68no—
494C22×C3—62no—
495C22×C3—62no—
496C22×C3—62no—
497C22×C3—68no—
498C22×C3—62no—
499C22×C3D3×C22⋊C412yes—
500C22×C3C2×ΓL(1,𝔽25)12yes—
501C22×C3D3×M1612yes—
502C22×C3D3×M1612yes—
503C22×C3D3×M1612yes—
504C22×C3C2×(C2×D3)⋊C412yes—
505C22×C3C22×C4×D311yescharacteristic
506C22×C3C22×C4×D311yescharacteristic
507C2×D3—28no—
508C2×D3—22no—
509C2×D3—22no—
510C2×D3—22no—
511C2×D3—22no—
512C2×D3—28no—
513C2×D3—34no—
514C2×D3—34no—
515C2×D3—64no—
516C2×D3—632no—
517C2×D3—632no—
518C2×D3—68no—
519C2×D3—62no—
520C2×D3—62no—
521C2×D3—62no—
522C2×D3—68no—
523C2×D3—62no—
524C2×D3—122no—
525C2×D3—122no—
526C2×D3—128no—
527C2×D3C2×ΓL(1,𝔽25)14yescomplemented
528C2×D3C2×(C2×D3)⋊C414yes—
529C3×C4—21no—
530C3×C4—21no—
531C3×C4—22no—
532C3×C4—34no—
533C3×C4—62no—
534C3×C4D3×C22⋊C412yes—
535C3×C4C2×(C2×D3)⋊C412yes—
536C3×C4C22×D1211yescharacteristic
537C3×C4C2×D3×D411yescharacteristic
538C3×C4C2×D3×D411yescharacteristic
539C3×C4C22×#6711yescharacteristic
540Dic3—22no—
541Dic3—62no—
542Dic3—62no—
543Dic3—122no—
544Dic3C2×(C2×D3)⋊C414yes—
545C32C2×#40711yescharacteristic, complemented, Sylow
546C23—34no—
547C23—32no—
548C23—32no—
549C23—34no—
550C23—62no—
551C23—62no—
552C23—62no—
553C23—62no—
554C23—92no—
555C23—94no—
556C23—188no—
557C23—188no—
558C23—188no—
559C23—1832no—
560C23—182no—
561C23—182no—
562C23C4×D3211yescharacteristic
563C2×C4—32no—
564C2×C4—34no—
565C2×C4—34no—
566C2×C4—34no—
567C2×C4—38no—
568C2×C4—32no—
569C2×C4—62no—
570C2×C4—62no—
571C2×C4—62no—
572C2×C4—64no—
573C2×C4—92no—
574C2×C4—188no—
575C2×C4—188no—
576C2×C4—188no—
577C2×C4—182no—
578C2×C4—182no—
579C2×C4—182no—
580C2×C4—184no—
581C2×C4C4×D3211yescharacteristic
582C2×C4D3×D1212yes—
583C2×C4D3×#6712yes—
584C2×C4C22×D3211yescharacteristic
585C8—22no—
586C8—62no—
587C8—62no—
588C8—182no—
589C2×C3—21no—
590C2×C3—21no—
591C2×C3—24no—
592C2×C3—21no—
593C2×C3—64no—
594C2×C3—64no—
595C2×C3#472614yescomplemented
596C2×C3#512614yescomplemented
597C2×C3C2×D3×C22⋊C411yescharacteristic
598C2×C3C22×ΓL(1,𝔽25)11yescharacteristic
599C2×C3C2×D3×M1611yescharacteristic
600C2×C3C2×D3×M1611yescharacteristic
601C2×C3C2×D3×M1611yescharacteristic
602C2×C3C22×(C2×D3)⋊C411yescharacteristic
603D3—24no—
604D3—24no—
605D3—64no—
606D3—64no—
607D3—124no—
608C22—34no—
609C22—34no—
610C22—62no—
611C22—62no—
612C22—62no—
613C22—68no—
614C22—68no—
615C22—62no—
616C22—94no—
617C22—1832no—
618C22—182no—
619C22—188no—
620C22—182no—
621C22D3×ΓL(1,𝔽25)12yes—
622C22#6379112yes—
623C22D3×(C2×D3)⋊C412yes—
624C22C2×C4×D3211yescharacteristic
625C4—34no—
626C4—62no—
627C4—182no—
628C4D3×(C2×D3)⋊C412yes—
629C4C2×D3×D1211yescharacteristic
630C4C2×D3×#6711yescharacteristic
631C3—21no—
632C3C2×#472611yescharacteristic, complemented
633C3C2×#512611yescharacteristic, complemented
634C2—64no—
635C2—64no—
636C2—184no—
637C2#1059093614yesdirect product factor
638C2C2×D3×ΓL(1,𝔽25)11yescharacteristic
639C2C2×#6379111yescharacteristic
640C2C2×D3×(C2×D3)⋊C411yescharacteristic
subgroupG/H
centerC22×C4C2×D32
commutatorC22×C32C23×C4
FrattiniC2×C4C22×D32
FittingC22×C32×C8C22
socleC23×C32C22×C4
prime radicalC23×D32C4
cosocleC2×C32×C4C24
hypercenterC22×C8D32
hypocenterC32C2×#407
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
2. C22×C3×ΓL(1,𝔽25)C2semidirect
3. C22×#3711C2semidirect
4. C2×#63647C2semidirect
5. C2×C3×(C2×D3)⋊C8C2semidirect
6. C2×#63557C2semidirect
7. C2×(C2×D3)⋊(C3⋊C8)C2semidirect
8. #10590936C2direct (N × H)
22. C22×C32×C8C22semidirect
23. C22×C3⋊(C3⋊C8)C22semidirect
24. C22×C3×C3⋊C8C22semidirect
25. C22×C3×C3⋊C8C22semidirect
27. C2×C3×ΓL(1,𝔽25)C22semidirect
29. C2×#3711C22semidirect
30. #63647C22semidirect
31. C3×(C2×D3)⋊C8C22semidirect
32. #63557C22semidirect
33. (C2×D3)⋊(C3⋊C8)C22semidirect
39. C22×ΓL(1,𝔽25)D3semidirect
49. C2×(C2×D3)⋊C8D3semidirect
84. C2×C32×C8C23semidirect
86. C2×C3⋊(C3⋊C8)C23semidirect
89. C2×C3×C3⋊C8C23semidirect
90. C2×C3×C3⋊C8C23semidirect
122. C22×C3×C8C2×D3semidirect
123. C22×C3×C8C2×D3semidirect
129. C22×C3⋊C8C2×D3semidirect
130. C22×C3⋊C8C2×D3semidirect
134. C2×ΓL(1,𝔽25)C2×D3semidirect
143. (C2×D3)⋊C8C2×D3semidirect
147. C22×C3⋊D3M16semidirect
154. C22×C3×D3M16semidirect
275. C2×C3×C8C22×D3semidirect
276. C2×C3×C8C22×D3semidirect
286. C2×C3⋊C8C22×D3semidirect
287. C2×C3⋊C8C22×D3semidirect
297. C2×C3⋊D3C2×M16semidirect
305. C2×C3×D3C2×M16semidirect
331. C22×C8D32semidirect
371. C22×D3ΓL(1,𝔽25)semidirect
438. C2×C32#407semidirect
486. C2×C8C2×D32semidirect
527. C2×D3C2×ΓL(1,𝔽25)semidirect
545. C32C2×#407semidirect
595. C2×C3#4726semidirect
596. C2×C3#5126semidirect
632. C3C2×#4726semidirect
633. C3C2×#5126semidirect
637. C2#10590936direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×D322
C22×C3×ΓL(1,𝔽25)2
C22×#37112
C2×#636472
C2×C3×(C2×D3)⋊C82
C2×#635572
C2×(C2×D3)⋊(C3⋊C8)2
#105909362
C2×#51263
C2×#47263