Finite Group Databasebeta

← #13176708

Subgroups — #13176708

Order 1728.

1820 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89020C211yesmaximal, characteristic
2M16×C3⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C3×M16×C3⋊D3C211yesmaximal, characteristic, complemented
4C32×D3×M16C211yesmaximal, characteristic, complemented
5#11723358C211yesmaximal, characteristic, complemented
6C3⋊D3×#208C211yesmaximal, characteristic, complemented
7D3×#3748C211yesmaximal, characteristic, complemented
8#11723334C212yesmaximal, complemented
9#11723333C212yesmaximal, complemented
10#11723332C212yesmaximal, complemented
11#11723331C212yesmaximal, complemented
12#10596216—31nomaximal
13#10594722—34nomaximal
14C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
15C2×C3×C4×C3⋊D3C2211yescharacteristic
16C2×C32×C4×D3C2211yescharacteristic
17C2×#6293C411yescharacteristic
18C2×#6292C411yescharacteristic
19C2×#6291C411yescharacteristic
20C2×#6290C411yescharacteristic
21#89020C411yescharacteristic
22#89020C411yescharacteristic
23#89020C411yescharacteristic
24#89020C411yescharacteristic
25#89020C2211yescharacteristic
26#89020C2211yescharacteristic
27#89020C2211yescharacteristic
28#89020C2211yescharacteristic
29C33×M16C2211yescharacteristic
30#88855C2211yescharacteristic
31#88850C2212yescomplemented
32C8×C3⋊(C3⋊D3)C2212yescomplemented
33C3×#3748C2211yescharacteristic
34C3×#3743C2212yescomplemented
35C3×C8×C3⋊D3C2212yescomplemented
36C32×#208C2211yescharacteristic
37C32×ΓL(1,𝔽25)C2212yescomplemented
38C32×D3×C8C2212yescomplemented
39#88788C2212yescomplemented
40#88787C2212yescomplemented
41#88786C2212yescomplemented
42#88785C2212yescomplemented
43C3⋊D3×C3⋊C8C2212yescomplemented
44D3×C3⋊(C3⋊C8)C2212yescomplemented
45C2×#3828—31no—
46C2×#3798—34no—
47C2×C32×M16—31no—
48C2×#3748—31no—
49#64116—32no—
50#64116—32no—
51M16×C3⋊D3—31no—
52M16×C3⋊D3—31no—
53M16×C3⋊D3—31no—
54M16×C3⋊D3—34no—
55M16×C3⋊D3—64no—
56M16×C3⋊D3D311yescharacteristic, complemented
57#64110—32no—
58#64110—32no—
59C3×D3×M16—34no—
60C3×D3×M16D314yescomplemented
61#63818—34no—
62D3×#208—34no—
63D3×#208—34no—
64#63805—38no—
65#63804—38no—
66#63804—38no—
67#63803—38no—
68C22×C3⋊(C3⋊D3)C2×C411yescharacteristic
69C22×C3×C3⋊D3C2×C411yescharacteristic
70C22×C32×D3C2×C411yescharacteristic
71C2×C33×C4C2311yescharacteristic
72C2×C3⋊(C3⋊Dic3)C2×C411yescharacteristic
73C4×C3⋊(C3⋊D3)C2×C411yescharacteristic
74C4×C3⋊(C3⋊D3)C2×C411yescharacteristic
75C4×C3⋊(C3⋊D3)C2311yescharacteristic
76C4×C3⋊(C3⋊D3)C2311yescharacteristic
77C2×C3×C3⋊Dic3C2×C411yescharacteristic
78C3×C4×C3⋊D3C2×C411yescharacteristic
79C3×C4×C3⋊D3C2×C411yescharacteristic
80C3×C4×C3⋊D3C2311yescharacteristic
81C3×C4×C3⋊D3C2311yescharacteristic
82C2×C32×Dic3C2×C411yescharacteristic
83C32×C4×D3C2×C411yescharacteristic
84C32×C4×D3C2×C411yescharacteristic
85C32×C4×D3C2311yescharacteristic
86C32×C4×D3C2311yescharacteristic
87#6293C2×C411yescharacteristic
88#6293C2×C411yescharacteristic
89#6293C2×C411yescharacteristic
90#6293C2×C411yescharacteristic
91#6292C2×C411yescharacteristic
92#6292C2×C411yescharacteristic
93#6292C2×C411yescharacteristic
94#6292C2×C411yescharacteristic
95#6291C2×C411yescharacteristic
96#6291C2×C411yescharacteristic
97#6291C2×C411yescharacteristic
98#6291C2×C411yescharacteristic
99#6290C2×C411yescharacteristic
100#6290C2×C411yescharacteristic
101#6290C2×C411yescharacteristic
102#6290C2×C411yescharacteristic
103C33×C8C2312yes—
104C3⋊(C3⋊(C3⋊C8))C2312yes—
105C3×C3⋊(C3⋊C8)C2312yes—
106C32×C3⋊C8C2312yes—
107#5745—94no—
108#5745—91no—
109C22×C32×C4—31no—
110C2×#638—31no—
111C2×#638—31no—
112#3828—31no—
113#3828—31no—
114#3828—31no—
115#3828—31no—
116#3828—31no—
117#3828—31no—
118#3828—31no—
119#3828—31no—
120C2×C4⋊(C3⋊D3)—31no—
121C2×C4×C3⋊D3—31no—
122C2×C4×C3⋊D3—34no—
123C2×C4×C3⋊D3—64no—
124C2×C4×C3⋊D3C2×D311yescharacteristic
125C2×#634—31no—
126C2×C3×C4×D3—34no—
127C2×C3×C4×D3C2×D314yes—
128C2×#627—34no—
129C2×#626—34no—
130C2×#626—34no—
131C2×#625—34no—
132#3798—34no—
133#3798—34no—
134#3798—34no—
135#3798—34no—
136#3798—34no—
137#3798—34no—
138#3798—34no—
139#3798—34no—
140C32×M16—24no—
141C32×M16—31no—
142C32×M16—32no—
143C32×M16C2×D314yes—
144C32×M16C2×D311yescharacteristic
145C2×C32×C8—32no—
146#3748—31no—
147#3748—34no—
148#3748—32no—
149#3748—64no—
150#3748C2×D311yescharacteristic
151C2×C3⋊(C3⋊C8)—32no—
152#3743—32no—
153#3743—32no—
154#3743—38no—
155#3743—32no—
156#3743—68no—
157#3743C2×D312yescomplemented
158C8×C3⋊D3—32no—
159C8×C3⋊D3—32no—
160C8×C3⋊D3—38no—
161C8×C3⋊D3—32no—
162C8×C3⋊D3—68no—
163C8×C3⋊D3C2×D312yescomplemented
164C3×#208—34no—
165C3×#208C2×D314yes—
166C3×ΓL(1,𝔽25)—38no—
167C3×ΓL(1,𝔽25)C2×D318yescomplemented
168C3×D3×C8—38no—
169C3×D3×C8C2×D318yescomplemented
170#3712—38no—
171#3711—38no—
172#3711—38no—
173#3710—38no—
174D3×C3⋊C8—38no—
175D3×C3⋊C8—38no—
176C22×C33C22×C411yescharacteristic
177C2×C3⋊(C3⋊D3)—41no—
178C2×C3⋊(C3⋊D3)C22×C411yescharacteristic
179C2×C3⋊(C3⋊D3)C22×C411yescharacteristic
180C2×C3×C3⋊D3—41no—
181C2×C3×C3⋊D3C22×C411yescharacteristic
182C2×C3×C3⋊D3C22×C411yescharacteristic
183C2×C32×D3—41no—
184C2×C32×D3C22×C411yescharacteristic
185C2×C32×D3C22×C411yescharacteristic
186C33×C4C22×C411yescharacteristic
187C33×C4C2411yescharacteristic
188C3⋊(C3⋊Dic3)C22×C411yescharacteristic
189C3⋊(C3⋊Dic3)C22×C411yescharacteristic
190C3×C3⋊Dic3C22×C411yescharacteristic
191C3×C3⋊Dic3C22×C411yescharacteristic
192C32×Dic3C22×C411yescharacteristic
193C32×Dic3C22×C411yescharacteristic
194C2×#235—94no—
195C2×#235—91no—
196C2×C3×M16—34no—
197C2×C3×M16—91no—
198C2×#208—94no—
199C2×#208—91no—
200#907—98no—
201#907—98no—
202#907—92no—
203#907—92no—
204D3×M16—34no—
205D3×M16—94no—
206D3×M16—94no—
207D3×M16—91no—
208D3×M16—94no—
209D3×M16—91no—
210D3×M16—91no—
211D3×M16—184no—
212D3×M16C3⋊D311yescharacteristic, complemented
213#901—98no—
214#901—98no—
215#901—92no—
216#901—92no—
217C23×C32—31no—
218C22×C3⋊D3—31no—
219C22×C3⋊D3—34no—
220C22×C3⋊D3—64no—
221C22×C3⋊D3C4×D311yescharacteristic
222C22×C3×D3—34no—
223C22×C3×D3C4×D314yes—
224C2×C32×C4—24no—
225C2×C32×C4—31no—
226C2×C32×C4—31no—
227C2×C32×C4—31no—
228C2×C32×C4—31no—
229C2×C32×C4—31no—
230C2×C32×C4C22×D314yes—
231C2×C32×C4C22×D311yescharacteristic
232#638—31no—
233#638—31no—
234#638—31no—
235#638—31no—
236#638—31no—
237#638—31no—
238#638—31no—
239#638—31no—
240C2×C3⋊Dic3—31no—
241C2×C3⋊Dic3—34no—
242C2×C3⋊Dic3—64no—
243C2×C3⋊Dic3C4×D311yescharacteristic
244C4⋊(C3⋊D3)—31no—
245C4⋊(C3⋊D3)—31no—
246C4⋊(C3⋊D3)—31no—
247C4⋊(C3⋊D3)—31no—
248C4×C3⋊D3—31no—
249C4×C3⋊D3—31no—
250C4×C3⋊D3—31no—
251C4×C3⋊D3—31no—
252C4×C3⋊D3—34no—
253C4×C3⋊D3—34no—
254C4×C3⋊D3—34no—
255C4×C3⋊D3—34no—
256C4×C3⋊D3—64no—
257C4×C3⋊D3—64no—
258C4×C3⋊D3—64no—
259C4×C3⋊D3—64no—
260C4×C3⋊D3C4×D311yescharacteristic
261C4×C3⋊D3C4×D311yescharacteristic
262C4×C3⋊D3C22×D311yescharacteristic
263C4×C3⋊D3C22×D311yescharacteristic
264#634—31no—
265#634—31no—
266#634—31no—
267#634—31no—
268C2×C3×Dic3—34no—
269C2×C3×Dic3C4×D314yes—
270C3×C4×D3—34no—
271C3×C4×D3—34no—
272C3×C4×D3—34no—
273C3×C4×D3—34no—
274C3×C4×D3C4×D314yes—
275C3×C4×D3C4×D314yes—
276C3×C4×D3C22×D314yes—
277C3×C4×D3C22×D314yes—
278#627—34no—
279#627—34no—
280#627—34no—
281#627—34no—
282#626—34no—
283#626—34no—
284#626—34no—
285#626—34no—
286#626—34no—
287#626—34no—
288#626—34no—
289#626—34no—
290#625—34no—
291#625—34no—
292#625—34no—
293#625—34no—
294C32×C8—28no—
295C32×C8—32no—
296C32×C8C22×D318yes—
297C32×C8C22×D312yes—
298C3⋊(C3⋊C8)—32no—
299C3⋊(C3⋊C8)—38no—
300C3⋊(C3⋊C8)—68no—
301C3⋊(C3⋊C8)C22×D312yes—
302C3×C3⋊C8—38no—
303C3×C3⋊C8C22×D318yes—
304#568—271noSylow
305C2×C33—21no—
306C2×C33C23×C411yescharacteristic
307C3⋊(C3⋊D3)—21no—
308C3⋊(C3⋊D3)—21no—
309C3×C3⋊D3—21no—
310C3×C3⋊D3—21no—
311C32×D3—21no—
312C32×D3—21no—
313C22×C3×C4—34no—
314C22×C3×C4—91no—
315C2×#67—94no—
316C2×#67—94no—
317C2×#67—91no—
318C2×#67—91no—
319#235—94no—
320#235—94no—
321#235—94no—
322#235—94no—
323#235—94no—
324#235—94no—
325#235—94no—
326#235—94no—
327#235—91no—
328#235—91no—
329#235—91no—
330#235—91no—
331#235—91no—
332#235—91no—
333#235—91no—
334#235—91no—
335C2×D12—94no—
336C2×D12—91no—
337C2×C4×D3—34no—
338C2×C4×D3—94no—
339C2×C4×D3—91no—
340C2×C4×D3—184no—
341C2×C4×D3C2×C3⋊D311yescharacteristic
342C2×Dic6—94no—
343C2×Dic6—91no—
344C3×M16—24no—
345C3×M16—34no—
346C3×M16—38no—
347C3×M16—91no—
348C3×M16—92no—
349C3×M16D3214yes—
350C3×M16C2×C3⋊D311yescharacteristic
351C2×C3×C8—38no—
352C2×C3×C8—92no—
353#208—34no—
354#208—98no—
355#208—94no—
356#208—91no—
357#208—92no—
358#208—184no—
359#208C2×C3⋊D311yescharacteristic
360C2×C3⋊C8—98no—
361C2×C3⋊C8—92no—
362ΓL(1,𝔽25)—38no—
363ΓL(1,𝔽25)—98no—
364ΓL(1,𝔽25)—98no—
365ΓL(1,𝔽25)—92no—
366ΓL(1,𝔽25)—98no—
367ΓL(1,𝔽25)—92no—
368ΓL(1,𝔽25)—92no—
369ΓL(1,𝔽25)—188no—
370ΓL(1,𝔽25)C2×C3⋊D312yescomplemented
371D3×C8—38no—
372D3×C8—98no—
373D3×C8—98no—
374D3×C8—92no—
375D3×C8—98no—
376D3×C8—92no—
377D3×C8—92no—
378D3×C8—188no—
379D3×C8C2×C3⋊D312yescomplemented
380C22×C32—24no—
381C22×C32—31no—
382C22×C32—31no—
383C22×C32—121no—
384C22×C32C2×C4×D314yes—
385C22×C32C2×C4×D311yescharacteristic
386C2×C3⋊D3—31no—
387C2×C3⋊D3—31no—
388C2×C3⋊D3—34no—
389C2×C3⋊D3—34no—
390C2×C3⋊D3—41no—
391C2×C3⋊D3—64no—
392C2×C3⋊D3—64no—
393C2×C3⋊D3—121no—
394C2×C3⋊D3—124no—
395C2×C3⋊D3—128no—
396C2×C3⋊D3C2×C4×D311yescharacteristic
397C2×C3⋊D3C2×C4×D311yescharacteristic
398C2×C3×D3—34no—
399C2×C3×D3—34no—
400C2×C3×D3—44no—
401C2×C3×D3—124no—
402C2×C3×D3C2×C4×D314yes—
403C2×C3×D3C2×C4×D314yes—
404C32×C4—24no—
405C32×C4—24no—
406C32×C4—31no—
407C32×C4—31no—
408C32×C4C2×C4×D314yes—
409C32×C4C2×C4×D311yescharacteristic
410C32×C4C23×D314yes—
411C32×C4C23×D311yescharacteristic
412C3⋊Dic3—31no—
413C3⋊Dic3—31no—
414C3⋊Dic3—34no—
415C3⋊Dic3—34no—
416C3⋊Dic3—64no—
417C3⋊Dic3—64no—
418C3⋊Dic3C2×C4×D311yescharacteristic
419C3⋊Dic3C2×C4×D311yescharacteristic
420C3×Dic3—34no—
421C3×Dic3—34no—
422C3×Dic3C2×C4×D314yes—
423C3×Dic3C2×C4×D314yes—
424C2×#41—271no—
425#131—272no—
426#131—272no—
427#131—272no—
428#131—272no—
429C2×M16—31no—
430C2×M16—91no—
431C2×M16—271no—
432C2×M16—271no—
433C2×M16—271no—
434C2×M16—271no—
435C33#56811yescharacteristic, complemented, Sylow
436C23×C3—34no—
437C23×C3—91no—
438C22×D3—34no—
439C22×D3—94no—
440C22×D3—91no—
441C22×D3—184no—
442C22×D3C4×C3⋊D311yescharacteristic
443C2×C3×C4—24no—
444C2×C3×C4—34no—
445C2×C3×C4—34no—
446C2×C3×C4—34no—
447C2×C3×C4—34no—
448C2×C3×C4—34no—
449C2×C3×C4—91no—
450C2×C3×C4—91no—
451C2×C3×C4—91no—
452C2×C3×C4—91no—
453C2×C3×C4—91no—
454C2×C3×C4C2×D3214yes—
455C2×C3×C4C22×C3⋊D311yescharacteristic
456#67—94no—
457#67—94no—
458#67—94no—
459#67—94no—
460#67—94no—
461#67—94no—
462#67—94no—
463#67—94no—
464#67—91no—
465#67—91no—
466#67—91no—
467#67—91no—
468#67—91no—
469#67—91no—
470#67—91no—
471#67—91no—
472C2×Dic3—34no—
473C2×Dic3—94no—
474C2×Dic3—91no—
475C2×Dic3—184no—
476C2×Dic3C4×C3⋊D311yescharacteristic
477D12—94no—
478D12—94no—
479D12—94no—
480D12—94no—
481D12—91no—
482D12—91no—
483D12—91no—
484D12—91no—
485C4×D3—34no—
486C4×D3—34no—
487C4×D3—34no—
488C4×D3—34no—
489C4×D3—94no—
490C4×D3—94no—
491C4×D3—91no—
492C4×D3—91no—
493C4×D3—94no—
494C4×D3—94no—
495C4×D3—91no—
496C4×D3—91no—
497C4×D3—184no—
498C4×D3—184no—
499C4×D3—184no—
500C4×D3—184no—
501C4×D3C4×C3⋊D311yescharacteristic
502C4×D3C4×C3⋊D311yescharacteristic
503C4×D3C22×C3⋊D311yescharacteristic
504C4×D3C22×C3⋊D311yescharacteristic
505Dic6—94no—
506Dic6—94no—
507Dic6—94no—
508Dic6—94no—
509Dic6—91no—
510Dic6—91no—
511Dic6—91no—
512Dic6—91no—
513C3×C8—28no—
514C3×C8—38no—
515C3×C8—92no—
516C3×C8C2×D3218yes—
517C3×C8C22×C3⋊D312yes—
518C3⋊C8—38no—
519C3⋊C8—98no—
520C3⋊C8—92no—
521C3⋊C8—188no—
522C3⋊C8C22×C3⋊D312yes—
523C2×C32—21no—
524C2×C32—24no—
525C2×C32—24no—
526C2×C32—44no—
527C2×C32—61no—
528C2×C32—61no—
529C2×C32C22×C4×D314yes—
530C2×C32C22×C4×D311yescharacteristic
531C3⋊D3—21no—
532C3⋊D3—21no—
533C3⋊D3—68no—
534C3⋊D3—64no—
535C3⋊D3—61no—
536C3⋊D3—61no—
537C3⋊D3—64no—
538C3⋊D3—124no—
539C3×D3—24no—
540C3×D3—24no—
541C3×D3—64no—
542C3×D3—64no—
543#41—271no—
544#41—271no—
545#41—271no—
546#41—271no—
547#41—271no—
548#41—271no—
549#41—271no—
550#41—271no—
551C2×Q8—271no—
552C2×D4—271no—
553C2×D4—271no—
554C2×D4—271no—
555C22×C4—31no—
556C22×C4—91no—
557C22×C4—271no—
558M16—31no—
559M16—32no—
560M16—91no—
561M16—92no—
562M16—272no—
563M16—272no—
564M16—272no—
565M16—271no—
566M16—272no—
567M16D3×C3⋊D311yescharacteristic
568C2×C8—32no—
569C2×C8—92no—
570C2×C8—272no—
571C2×C8—272no—
572C2×C8—272no—
573C2×C8—272no—
574C22×C3—24no—
575C22×C3—34no—
576C22×C3—34no—
577C22×C3—91no—
578C22×C3—91no—
579C22×C3—124no—
580C22×C3—361no—
581C22×C3C4×D3214yes—
582C22×C3C2×C4×C3⋊D311yescharacteristic
583C2×D3—34no—
584C2×D3—34no—
585C2×D3—41no—
586C2×D3—94no—
587C2×D3—94no—
588C2×D3—91no—
589C2×D3—91no—
590C2×D3—124no—
591C2×D3—184no—
592C2×D3—184no—
593C2×D3—361no—
594C2×D3—364no—
595C2×D3—368no—
596C2×D3C2×C4×C3⋊D311yescharacteristic
597C2×D3C2×C4×C3⋊D311yescharacteristic
598C3×C4—24no—
599C3×C4—24no—
600C3×C4—34no—
601C3×C4—34no—
602C3×C4—91no—
603C3×C4—91no—
604C3×C4C4×D3214yes—
605C3×C4C2×C4×C3⋊D311yescharacteristic
606C3×C4C22×D3214yes—
607C3×C4C23×C3⋊D311yescharacteristic
608Dic3—34no—
609Dic3—34no—
610Dic3—94no—
611Dic3—94no—
612Dic3—91no—
613Dic3—91no—
614Dic3—184no—
615Dic3—184no—
616Dic3C2×C4×C3⋊D311yescharacteristic
617Dic3C2×C4×C3⋊D311yescharacteristic
618C32—24no—
619C32#574514yescomplemented
620C32#574511yescharacteristic, complemented
621C23—31no—
622C23—91no—
623C23—271no—
624Q8—271no—
625Q8—271no—
626Q8—271no—
627Q8—271no—
628D4—271no—
629D4—271no—
630D4—271no—
631D4—271no—
632D4—271no—
633D4—271no—
634D4—271no—
635D4—271no—
636D4—271no—
637D4—271no—
638D4—271no—
639D4—271no—
640C2×C4—31no—
641C2×C4—31no—
642C2×C4—31no—
643C2×C4—31no—
644C2×C4—31no—
645C2×C4—91no—
646C2×C4—91no—
647C2×C4—91no—
648C2×C4—91no—
649C2×C4—91no—
650C2×C4—271no—
651C2×C4—271no—
652C2×C4—271no—
653C2×C4—271no—
654C2×C4—271no—
655C2×C4C2×D3×C3⋊D311yescharacteristic
656C8—32no—
657C8—92no—
658C8—272no—
659C8C2×D3×C3⋊D312yes—
660C2×C3—21no—
661C2×C3—24no—
662C2×C3—24no—
663C2×C3—44no—
664C2×C3—64no—
665C2×C3—64no—
666C2×C3—181no—
667C2×C3—181no—
668C2×C3C2×C4×D3214yes—
669C2×C3C22×C4×C3⋊D311yescharacteristic
670D3—21no—
671D3—21no—
672D3—64no—
673D3—64no—
674D3—188no—
675D3—181no—
676D3—181no—
677D3—184no—
678D3—184no—
679D3—364no—
680C22—31no—
681C22—31no—
682C22—91no—
683C22—91no—
684C22—121no—
685C22—271no—
686C22—271no—
687C22—361no—
688C22—1081no—
689C22C4×D3×C3⋊D311yescharacteristic
690C4—31no—
691C4—31no—
692C4—91no—
693C4—91no—
694C4—271no—
695C4—271no—
696C4C4×D3×C3⋊D311yescharacteristic
697C4C22×D3×C3⋊D311yescharacteristic
698C3—24no—
699C3#1059472214yescomplemented
700C3#1059621611yescharacteristic, complemented
701C2—21no—
702C2—61no—
703C2—61no—
704C2—181no—
705C2—181no—
706C2—541no—
707C2—541no—
708C2C2×C4×D3×C3⋊D311yescharacteristic
subgroupG/H
center, FrattiniC4C22×D3×C3⋊D3
commutator, socleC2×C33C23×C4
FittingC33×M16C22
prime radicalC2×#89020C2
cosocleC33×C4C24
hypercenterM16D3×C3⋊D3
hypocenterC33#568
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C4 ◁ M16

Complements

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

NH ≅ G/Ntype
2. M16×C3⋊(C3⋊D3)C2semidirect
3. C3×M16×C3⋊D3C2semidirect
4. C32×D3×M16C2semidirect
5. #11723358C2semidirect
6. C3⋊D3×#208C2semidirect
7. D3×#3748C2semidirect
8. #11723334C2semidirect
9. #11723333C2semidirect
10. #11723332C2semidirect
11. #11723331C2semidirect
31. #88850C22semidirect
32. C8×C3⋊(C3⋊D3)C22semidirect
34. C3×#3743C22semidirect
35. C3×C8×C3⋊D3C22semidirect
37. C32×ΓL(1,𝔽25)C22semidirect
38. C32×D3×C8C22semidirect
39. #88788C22semidirect
40. #88787C22semidirect
41. #88786C22semidirect
42. #88785C22semidirect
43. C3⋊D3×C3⋊C8C22semidirect
44. D3×C3⋊(C3⋊C8)C22semidirect
56. M16×C3⋊D3D3semidirect
60. C3×D3×M16D3semidirect
157. #3743C2×D3semidirect
163. C8×C3⋊D3C2×D3semidirect
167. C3×ΓL(1,𝔽25)C2×D3semidirect
169. C3×D3×C8C2×D3semidirect
212. D3×M16C3⋊D3semidirect
370. ΓL(1,𝔽25)C2×C3⋊D3semidirect
379. D3×C8C2×C3⋊D3semidirect
435. C33#568semidirect
619. C32#5745semidirect
620. C32#5745semidirect
699. C3#10594722semidirect
700. C3#10596216semidirect

Maximal subgroups

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

subgroupindex
C2×#890202
M16×C3⋊(C3⋊D3)2
C3×M16×C3⋊D32
C32×D3×M162
#117233582
C3⋊D3×#2082
D3×#37482
#117233342
#117233332
#117233322
#117233312
#105962163
#105947223