Finite Group Databasebeta

← #11858350

Subgroups — #11858350

Order 1152.

1031 conjugacy classes of subgroups.

The subgroup lattice has 669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#63804C212yesmaximal
2C4×#3798C211yesmaximal, characteristic
3#10592536C211yesmaximal, characteristic, complemented
4C3×#4837C211yesmaximal, characteristic, complemented
5C3×D3×C4⋊C8C211yesmaximal, characteristic, complemented
6#10590702C212yesmaximal, complemented
7#10590695C212yesmaximal, complemented
8#10590694C212yesmaximal, complemented
9#10590336C211yesmaximal, characteristic, complemented
10#10590331C211yesmaximal, characteristic, complemented
11D3×C4⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
12#79049—31nomaximal
13#79012—31nomaximal
14C2×#3798C2211yescharacteristic
15C2×#3743C2212yes—
16C42×C3⋊D3C2211yescharacteristic
17C2×C3×ΓL(1,𝔽25)C2212yes—
18C2×C3×D3×C8C2212yes—
19C3×C42×D3C2211yescharacteristic
20C3×C42×D3C2211yescharacteristic
21C4×#627C411yescharacteristic
22C4×#627C411yescharacteristic
23C4×#626C411yescharacteristic
24C4×#626C411yescharacteristic
25C4×#626C411yescharacteristic
26C4×#626C411yescharacteristic
27C4×#625C411yescharacteristic
28C4×#625C411yescharacteristic
29#63874C2211yescharacteristic
30#63855C2211yescharacteristic
31#63855C2211yescharacteristic
32C2×#3711C2212yes—
33C2×#3710C2212yes—
34C2×D3×C3⋊C8C2212yes—
35#63804—28no—
36C32×C4⋊C8C2211yescharacteristic
37#63641C2212yes—
38C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
39C3×Dic3⋊C8C2212yes—
40C3×Dic3⋊C8C2212yes—
41C3×C4⋊(C3⋊C8)C2211yescharacteristic
42C3×C4⋊(C3⋊C8)C2211yescharacteristic
43#63572C2212yes—
44Dic3⋊(C3⋊C8)C2212yes—
45Dic3⋊(C3⋊C8)C2212yes—
46C2×#907—32no—
47C2×#901—32no—
48C4×#235—31no—
49C4×#235—31no—
50C3×#423—31no—
51C2×C3×C4⋊C8—31no—
52#5119—32no—
53#5102—32no—
54#4924—31no—
55C2×C4⋊(C3⋊C8)—31no—
56#4839—32no—
57#4839—32no—
58#4839—32no—
59#4839—32no—
60#4837—31no—
61#4837—31no—
62#4837—31no—
63#4837—61no—
64#4837D311yescharacteristic, complemented
65D3×C4⋊C8—31no—
66D3×C4⋊C8—31no—
67D3×C4⋊C8—31no—
68D3×C4⋊C8D311yescharacteristic, complemented
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×#627C2×C411yescharacteristic
79C2×#626C2×C411yescharacteristic
80C2×#626C2×C411yescharacteristic
81C2×#625C2×C411yescharacteristic
82#3798D414yes—
83#3798Q814yes—
84C2×C32×C8C2312yes—
85C32×C42C2311yescharacteristic
86C4×C3⋊Dic3C2×C411yescharacteristic
87C4×C3⋊Dic3C2×C411yescharacteristic
88C4×C3⋊Dic3C2311yescharacteristic
89C2×C3⋊(C3⋊C8)C2312yes—
90#3743—24no—
91C3×C4×Dic3C2×C411yescharacteristic
92C3×C4×Dic3C2×C411yescharacteristic
93C3×C4×Dic3C2×C411yescharacteristic
94C3×C4×Dic3C2×C411yescharacteristic
95C3×C4×Dic3C2311yescharacteristic
96C3×C4×Dic3C2311yescharacteristic
97C2×C3×C3⋊C8C2312yes—
98C2×C3×C3⋊C8C2312yes—
99C3×ΓL(1,𝔽25)—24no—
100C3×D3×C8—24no—
101#3724C2×C411yescharacteristic
102#3724C2×C411yescharacteristic
103Dic3⋊Dic3C2×C411yescharacteristic
104Dic3⋊Dic3C2×C411yescharacteristic
105Dic3⋊Dic3C2×C411yescharacteristic
106Dic3⋊Dic3C2×C411yescharacteristic
107#3722C2×C411yescharacteristic
108#3722C2×C411yescharacteristic
109(C2×D3)⋊Dic3C2×C411yescharacteristic
110(C2×D3)⋊Dic3C2×C411yescharacteristic
111(C2×D3)⋊Dic3C2×C411yescharacteristic
112(C2×D3)⋊Dic3C2×C411yescharacteristic
113#3711—24no—
114#3710—24no—
115D3×C3⋊C8—24no—
116#2906—91noSylow
117C2×#235—31no—
118C2×#235—31no—
119C2×C3×M16—32no—
120C22×C3×C8—32no—
121C2×C3×C42—31no—
122C2×C3×C42—31no—
123C4×#67—31no—
124C4×#67—31no—
125C4×#67—31no—
126C4×#67—31no—
127C4×#67—31no—
128C4×#67—31no—
129C4×#67—31no—
130C4×#67—31no—
131#926—31no—
132#926—31no—
133C2×#208—32no—
134C22×C3⋊C8—32no—
135#907—68no—
136#901—68no—
137C2×ΓL(1,𝔽25)—32no—
138C2×ΓL(1,𝔽25)—32no—
139C2×ΓL(1,𝔽25)—32no—
140C2×ΓL(1,𝔽25)—62no—
141C2×ΓL(1,𝔽25)C2×D312yes—
142C2×D3×C8—32no—
143C2×D3×C8—32no—
144C2×D3×C8—32no—
145C2×D3×C8C2×D312yes—
146C4×D12—31no—
147C4×D12—31no—
148C4×D12—31no—
149C4×D12—31no—
150#872—31no—
151#872—31no—
152#872—31no—
153#872—31no—
154C42×D3—31no—
155C42×D3—31no—
156C42×D3—61no—
157C42×D3C2×D311yescharacteristic
158C42×D3C2×D311yescharacteristic
159C4×Dic6—31no—
160C4×Dic6—31no—
161C4×Dic6—31no—
162C4×Dic6—31no—
163C3×C4⋊C8—21no—
164C3×C4⋊C8—32no—
165C3×C4⋊C8—32no—
166C3×C4⋊C8—31no—
167C3×C4⋊C8—31no—
168C3×C4⋊C8C2×D311yescharacteristic
169C3×C4⋊C8C2×D311yescharacteristic
170Dic3⋊C8—32no—
171Dic3⋊C8—32no—
172Dic3⋊C8—32no—
173Dic3⋊C8—32no—
174Dic3⋊C8—32no—
175Dic3⋊C8—32no—
176Dic3⋊C8—62no—
177Dic3⋊C8C2×D312yes—
178Dic3⋊C8C2×D312yes—
179C4⋊(C3⋊C8)—31no—
180C4⋊(C3⋊C8)—31no—
181C4⋊(C3⋊C8)—32no—
182C4⋊(C3⋊C8)—32no—
183C4⋊(C3⋊C8)—61no—
184C4⋊(C3⋊C8)C2×D311yescharacteristic
185C4⋊(C3⋊C8)C2×D311yescharacteristic
186C22×C3⋊D3C22×C411yescharacteristic
187C22×C3×D3C22×C411yescharacteristic
188C22×C3×D3C22×C411yescharacteristic
189C2×C32×C4C22×C411yescharacteristic
190C2×C32×C4C22×C411yescharacteristic
191C2×C32×C4C2411yescharacteristic
192C2×C3⋊Dic3C22×C411yescharacteristic
193C2×C3⋊Dic3C22×C411yescharacteristic
194C2×C3⋊Dic3C22×C411yescharacteristic
195C4×C3⋊D3—22no—
196C4×C3⋊D3—41no—
197C4×C3⋊D3C2×D412yes—
198C4×C3⋊D3C2×Q812yes—
199C2×C3×Dic3C22×C411yescharacteristic
200C2×C3×Dic3C22×C411yescharacteristic
201C2×C3×Dic3C22×C411yescharacteristic
202C2×C3×Dic3C22×C411yescharacteristic
203C2×C3×Dic3C22×C411yescharacteristic
204C2×C3×Dic3C22×C411yescharacteristic
205C3×C4×D3—22no—
206C3×C4×D3—22no—
207C3×C4×D3—41no—
208C3×C4×D3—41no—
209C3×C4×D3C2×D412yes—
210C3×C4×D3C2×D412yes—
211C3×C4×D3C2×Q812yes—
212C3×C4×D3C2×Q812yes—
213#627C4⋊C414yes—
214#626C4⋊C414yes—
215#626C4⋊C414yes—
216#625C4⋊C414yes—
217C32×C8—22no—
218C3⋊(C3⋊C8)—22no—
219C3×C3⋊C8—22no—
220C3×C3⋊C8—22no—
221C2×#131—92no—
222C4×#41—91no—
223#424—92no—
224#424—92no—
225#424—92no—
226#423—31no—
227#423—91no—
228#423—91no—
229C2×C4⋊C8—31no—
230C2×C4⋊C8—91no—
231C2×C4⋊C8—91no—
232C22×C3×C4—31no—
233C22×C3×C4—31no—
234C22×C3×C4—31no—
235C22×C3×C4—31no—
236C22×C3×C4—31no—
237C22×C3×C4—31no—
238C2×#67—31no—
239C2×#67—31no—
240C2×#67—31no—
241C2×#67—31no—
242#235—34no—
243#235—34no—
244#235—34no—
245#235—34no—
246C2×D12—31no—
247C2×D12—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—61no—
255C2×C4×D3—61no—
256C2×C4×D3—61no—
257C2×C4×D3C4×D311yescharacteristic
258C2×C4×D3C4×D311yescharacteristic
259C2×C4×D3C4×D311yescharacteristic
260C2×C4×D3C4×D311yescharacteristic
261C2×C4×D3C22×D311yescharacteristic
262C2×C4×D3C22×D311yescharacteristic
263C2×Dic6—31no—
264C2×Dic6—31no—
265C3×M16—64no—
266C2×C3×C8—22no—
267C2×C3×C8—32no—
268C2×C3×C8—32no—
269C2×C3×C8—64no—
270C2×C3×C8C22×D312yes—
271C2×C3×C8C22×D312yes—
272C3×C42—21no—
273C3×C42—31no—
274C3×C42—31no—
275C3×C42—31no—
276C3×C42—31no—
277C3×C42—31no—
278C3×C42—31no—
279C3×C42C22×D311yescharacteristic
280C3×C42C22×D311yescharacteristic
281#217—31no—
282#217—31no—
283#217—31no—
284#217—31no—
285(C2×D3)⋊C4—31no—
286(C2×D3)⋊C4—31no—
287(C2×D3)⋊C4—31no—
288(C2×D3)⋊C4—31no—
289(C2×D3)⋊C4—31no—
290(C2×D3)⋊C4—31no—
291(C2×D3)⋊C4—31no—
292(C2×D3)⋊C4—31no—
293C4⋊Dic3—31no—
294C4⋊Dic3—31no—
295C4⋊Dic3—31no—
296C4⋊Dic3—31no—
297Dic3⋊C4—31no—
298Dic3⋊C4—31no—
299Dic3⋊C4—31no—
300Dic3⋊C4—31no—
301Dic3⋊C4—31no—
302Dic3⋊C4—31no—
303Dic3⋊C4—31no—
304Dic3⋊C4—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⋊C8—64no—
325C2×C3⋊C8C22×D312yes—
326C2×C3⋊C8C22×D312yes—
327ΓL(1,𝔽25)—24no—
328ΓL(1,𝔽25)—64no—
329ΓL(1,𝔽25)—64no—
330ΓL(1,𝔽25)—64no—
331ΓL(1,𝔽25)—124no—
332D3×C8—24no—
333D3×C8—64no—
334D3×C8—64no—
335D3×C8—64no—
336C22×C32C23×C411yescharacteristic
337C2×C3⋊D3—21no—
338C2×C3⋊D3—21no—
339C2×C3⋊D3C2×C4⋊C412yes—
340C2×C3×D3—21no—
341C2×C3×D3—21no—
342C2×C3×D3—21no—
343C2×C3×D3—21no—
344C2×C3×D3C2×C4⋊C412yes—
345C2×C3×D3C2×C4⋊C412yes—
346C32×C4—21no—
347C32×C4#13112yescomplemented
348C32×C4C22×D411yescharacteristic
349C32×C4C22×Q811yescharacteristic
350C3⋊Dic3—21no—
351C3⋊Dic3—21no—
352C3⋊Dic3C2×C4⋊C412yes—
353C3×Dic3—21no—
354C3×Dic3—21no—
355C3×Dic3—21no—
356C3×Dic3—21no—
357C3×Dic3C2×C4⋊C412yes—
358C3×Dic3C2×C4⋊C412yes—
359C2×#41—91no—
360#131—188no—
361C2×M16—32no—
362C2×M16—92no—
363C2×M16—92no—
364C22×C8—32no—
365C22×C8—92no—
366C22×C8—92no—
367C4×Q8—91no—
368C4×Q8—91no—
369C4×D4—91no—
370C4×D4—91no—
371C4×D4—91no—
372C4×D4—91no—
373C4×D4—91no—
374C4×D4—91no—
375#117—91no—
376#117—91no—
377#117—91no—
378C2×C42—31no—
379C2×C42—31no—
380C2×C42—91no—
381C4⋊C8—32no—
382C4⋊C8—32no—
383C4⋊C8—31no—
384C4⋊C8—31no—
385C4⋊C8—92no—
386C4⋊C8—92no—
387C4⋊C8—92no—
388C4⋊C8—92no—
389C4⋊C8—91no—
390C4⋊C8D3211yescharacteristic
391C23×C3—31no—
392C23×C3—31no—
393C22×D3—31no—
394C22×D3—31no—
395C22×D3—61no—
396C22×D3C2×C4×D311yescharacteristic
397C22×D3C2×C4×D311yescharacteristic
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—21no—
401C2×C3×C4—31no—
402C2×C3×C4—31no—
403C2×C3×C4—32no—
404C2×C3×C4—32no—
405C2×C3×C4—32no—
406C2×C3×C4—32no—
407C2×C3×C4—31no—
408C2×C3×C4—31no—
409C2×C3×C4—31no—
410C2×C3×C4—31no—
411C2×C3×C4—62no—
412C2×C3×C4—62no—
413C2×C3×C4—121no—
414C2×C3×C4—121no—
415C2×C3×C4C2×C4×D311yescharacteristic
416C2×C3×C4C2×C4×D311yescharacteristic
417C2×C3×C4C2×C4×D311yescharacteristic
418C2×C3×C4C2×C4×D311yescharacteristic
419C2×C3×C4C23×D311yescharacteristic
420C2×C3×C4C23×D311yescharacteristic
421#67—34no—
422#67—34no—
423#67—34no—
424#67—34no—
425C2×Dic3—31no—
426C2×Dic3—31no—
427C2×Dic3—31no—
428C2×Dic3—31no—
429C2×Dic3—31no—
430C2×Dic3—31no—
431C2×Dic3—61no—
432C2×Dic3—61no—
433C2×Dic3—61no—
434C2×Dic3C2×C4×D311yescharacteristic
435C2×Dic3C2×C4×D311yescharacteristic
436C2×Dic3C2×C4×D311yescharacteristic
437C2×Dic3C2×C4×D311yescharacteristic
438C2×Dic3C2×C4×D311yescharacteristic
439C2×Dic3C2×C4×D311yescharacteristic
440D12—34no—
441D12—34no—
442C4×D3—22no—
443C4×D3—22no—
444C4×D3—32no—
445C4×D3—32no—
446C4×D3—32no—
447C4×D3—32no—
448C4×D3—41no—
449C4×D3—41no—
450C4×D3—62no—
451C4×D3—62no—
452C4×D3—62no—
453C4×D3—62no—
454C4×D3—122no—
455C4×D3—121no—
456C4×D3—121no—
457C4×D3—122no—
458C4×D3D3×D412yes—
459C4×D3D3×D412yes—
460C4×D3D3×Q812yes—
461C4×D3D3×Q812yes—
462Dic6—34no—
463Dic6—34no—
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×C32C22×C4⋊C411yescharacteristic
475C2×C32C2×#13111yescharacteristic
476C2×C32#56811yescharacteristic
477C3⋊D3—22no—
478C3×D3—22no—
479C3×D3—22no—
480#41—94no—
481#41—94no—
482C2×Q8—91no—
483C2×D4—91no—
484C2×D4—91no—
485C2×D4—91no—
486C22×C4—31no—
487C22×C4—31no—
488C22×C4—31no—
489C22×C4—31no—
490C22×C4—31no—
491C22×C4—31no—
492C22×C4—91no—
493C22×C4—91no—
494C22×C4—91no—
495M16—64no—
496M16—184no—
497M16—184no—
498C2×C8—32no—
499C2×C8—32no—
500C2×C8—64no—
501C2×C8—92no—
502C2×C8—184no—
503C2×C8—184no—
504C2×C8C2×D3212yes—
505C4⋊C4—91no—
506C4⋊C4—91no—
507C4⋊C4—91no—
508C4⋊C4—91no—
509C4⋊C4—91no—
510C4⋊C4—91no—
511C22⋊C4—91no—
512C22⋊C4—91no—
513C22⋊C4—91no—
514C22⋊C4—91no—
515C22⋊C4—91no—
516C22⋊C4—91no—
517C42—31no—
518C42—31no—
519C42—31no—
520C42—31no—
521C42—31no—
522C42—31no—
523C42—91no—
524C42—91no—
525C42—91no—
526C42C2×D3211yescharacteristic
527C22×C3—21no—
528C22×C3—32no—
529C22×C3—32no—
530C22×C3—61no—
531C22×C3—61no—
532C22×C3—61no—
533C22×C3—61no—
534C22×C3C22×C4×D311yescharacteristic
535C22×C3C22×C4×D311yescharacteristic
536C2×D3—21no—
537C2×D3—21no—
538C2×D3—21no—
539C2×D3—21no—
540C2×D3—32no—
541C2×D3—32no—
542C2×D3—62no—
543C2×D3—61no—
544C2×D3—61no—
545C2×D3—61no—
546C2×D3—61no—
547C2×D3—121no—
548C2×D3—121no—
549C2×D3D3×C4⋊C412yes—
550C2×D3D3×C4⋊C412yes—
551C3×C4—21no—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—22no—
555C3×C4—21no—
556C3×C4—32no—
557C3×C4—32no—
558C3×C4—41no—
559C3×C4—61no—
560C3×C4—61no—
561C3×C4—61no—
562C3×C4—61no—
563C3×C4#90112yescomplemented
564C3×C4#90712yescomplemented
565C3×C4C2×D3×D411yescharacteristic
566C3×C4C2×D3×D411yescharacteristic
567C3×C4C2×D3×Q811yescharacteristic
568C3×C4C2×D3×Q811yescharacteristic
569Dic3—21no—
570Dic3—21no—
571Dic3—21no—
572Dic3—21no—
573Dic3—32no—
574Dic3—32no—
575Dic3—62no—
576Dic3—62no—
577Dic3—61no—
578Dic3—61no—
579Dic3—61no—
580Dic3—61no—
581Dic3—121no—
582Dic3D3×C4⋊C412yes—
583Dic3D3×C4⋊C412yes—
584C32#290611yescharacteristic, complemented, Sylow
585C23—31no—
586C23—31no—
587C23—91no—
588Q8—94no—
589D4—94no—
590D4—94no—
591D4—94no—
592C2×C4—31no—
593C2×C4—31no—
594C2×C4—32no—
595C2×C4—32no—
596C2×C4—32no—
597C2×C4—32no—
598C2×C4—31no—
599C2×C4—31no—
600C2×C4—31no—
601C2×C4—31no—
602C2×C4—62no—
603C2×C4—62no—
604C2×C4—91no—
605C2×C4—92no—
606C2×C4—92no—
607C2×C4—91no—
608C2×C4—91no—
609C2×C4—121no—
610C2×C4—121no—
611C2×C4—182no—
612C2×C4—361no—
613C2×C4C4×D3211yescharacteristic
614C2×C4C4×D3211yescharacteristic
615C2×C4C22×D3211yescharacteristic
616C8—22no—
617C8—62no—
618C8—62no—
619C8—182no—
620C2×C3—21no—
621C2×C3—21no—
622C2×C3—21no—
623C2×C3—62no—
624C2×C3—62no—
625C2×C3C2×D3×C4⋊C411yescharacteristic
626C2×C3C2×D3×C4⋊C411yescharacteristic
627C2×C3C2×#90111yescharacteristic
628C2×C3C2×#90711yescharacteristic
629C2×C3#574511yescharacteristic
630C2×C3#574511yescharacteristic
631D3—22no—
632D3—22no—
633D3—62no—
634D3—62no—
635D3—122no—
636C22—32no—
637C22—32no—
638C22—61no—
639C22—61no—
640C22—61no—
641C22—61no—
642C22—92no—
643C22—181no—
644C22—181no—
645C22C2×C4×D3211yescharacteristic
646C4—21no—
647C4—32no—
648C4—32no—
649C4—61no—
650C4—61no—
651C4—61no—
652C4—61no—
653C4—92no—
654C4—181no—
655C4—181no—
656C4#6380412yescomplemented
657C4D32×D411yescharacteristic
658C4D32×Q811yescharacteristic
659C3—21no—
660C3#7901211yescharacteristic, complemented
661C3#7904911yescharacteristic, complemented
662C2—62no—
663C2—62no—
664C2—182no—
665C2D32×C4⋊C411yescharacteristic
666C2C2×#6380411yescharacteristic
667C2#1059472211yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D32
commutator, socleC22×C32C23×C4
FittingC32×C4⋊C8C22
prime radicalC2×#3798C22
cosocleC2×C32×C4C24
hypercenterC4⋊C8D32
hypocenterC32#2906
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
3. #10592536C2semidirect
4. C3×#4837C2semidirect
5. C3×D3×C4⋊C8C2semidirect
6. #10590702C2semidirect
7. #10590695C2semidirect
8. #10590694C2semidirect
9. #10590336C2semidirect
10. #10590331C2semidirect
11. D3×C4⋊(C3⋊C8)C2semidirect
64. #4837D3semidirect
68. D3×C4⋊C8D3semidirect
347. C32×C4#131semidirect
563. C3×C4#901semidirect
564. C3×C4#907semidirect
584. C32#2906semidirect
656. C4#63804semidirect
660. C3#79012semidirect
661. C3#79049semidirect

Maximal subgroups

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

subgroupindex
C2×#638042
C4×#37982
#105925362
C3×#48372
C3×D3×C4⋊C82
#105907022
#105906952
#105906942
#105903362
#105903312
D3×C4⋊(C3⋊C8)2
#790493
#790123