Finite Group Databasebeta

← #11787147

Subgroups — #11787147

Order 1152.

923 conjugacy classes of subgroups.

The subgroup lattice has 659 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D3×C8C211yesmaximal, characteristic, complemented
2C2×C4×#625C211yesmaximal, characteristic
3C2×C3×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
4C2×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
5C2×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
6#10589416C211yesmaximal, characteristic, complemented
7#10589156C211yesmaximal, characteristic, complemented
8#71975—31nomaximal
9#69957—31nomaximal
10C22×C3×C4×D3C2211yescharacteristic
11C22×C3×C4×D3C2211yescharacteristic
12C22×#625C411yescharacteristic
13C22×C32×C8C2211yescharacteristic
14C2×C4×C3⋊Dic3C2211yescharacteristic
15C22×C3⋊(C3⋊C8)C2211yescharacteristic
16C22×C3×C3⋊C8C2211yescharacteristic
17C22×C3×C3⋊C8C2211yescharacteristic
18C2×C3×D3×C8—22no—
19C2×C3×D3×C8—22no—
20C2×C3×D3×C8—22no—
21C2×#3724C411yescharacteristic
22C2×(C2×D3)⋊Dic3C411yescharacteristic
23C2×(C2×D3)⋊Dic3C411yescharacteristic
24C4×#625—22no—
25C4×#625—22no—
26C3×(C2×D3)⋊C8—22no—
27(C2×D3)⋊(C3⋊C8)—22no—
28(C2×D3)⋊(C3⋊C8)—22no—
29C23×C3×C8—31no—
30C2×C4×#67—31no—
31C2×C4×#67—31no—
32C22×D3×C8D311yescharacteristic, complemented
33C2×C3×C22⋊C8—31no—
34C2×#830—31no—
35C2×#830—31no—
36C2×(C2×D3)⋊C8—31no—
37C2×(C2×D3)⋊C8—31no—
38C2×(C2×D3)⋊C8D311yescharacteristic, complemented
39#4550—31no—
40#4550—31no—
41#4550—31no—
42#4550—31no—
43#4550—61no—
44C23×C3×D3C2×C411yescharacteristic
45C23×C3×D3C2×C411yescharacteristic
46C22×C32×C4C2311yescharacteristic
47C22×C3⋊Dic3C2×C411yescharacteristic
48C22×C3⋊Dic3C2×C411yescharacteristic
49C22×C3×Dic3C2×C411yescharacteristic
50C22×C3×Dic3C2×C411yescharacteristic
51C2×C3×C4×D3—21no—
52C2×C3×C4×D3—21no—
53C2×C3×C4×D3—21no—
54C2×C3×C4×D3—21no—
55C2×C3×C4×D3—21no—
56C2×C3×C4×D3—21no—
57C2×C3×C4×D3—21no—
58C2×C3×C4×D3—21no—
59C2×C3×C4×D3—21no—
60C2×C3×C4×D3—21no—
61C2×C3×C4×D3D412yes—
62C2×C3×C4×D3D412yes—
63C2×#625—22no—
64C2×#625—22no—
65C2×#625C814yescomplemented
66C2×C32×C8—21no—
67C2×C32×C8—21no—
68C2×C32×C8D412yescomplemented
69C4×C3⋊Dic3—21no—
70C4×C3⋊Dic3—21no—
71C2×C3⋊(C3⋊C8)—21no—
72C2×C3⋊(C3⋊C8)—21no—
73C2×C3⋊(C3⋊C8)—21no—
74C2×C3×C3⋊C8—21no—
75C2×C3×C3⋊C8—21no—
76C2×C3×C3⋊C8—21no—
77C2×C3×C3⋊C8—21no—
78C2×C3×C3⋊C8—21no—
79C2×C3×C3⋊C8D412yescomplemented
80C3×D3×C8—28no—
81#3724—22no—
82(C2×D3)⋊Dic3—22no—
83(C2×D3)⋊Dic3—22no—
84#1869—91noSylow
85C23×C3×C4—31no—
86C23×C3×C4—31no—
87C22×#67—31no—
88C22×#67—31no—
89C22×C4×D3C2×D311yescharacteristic
90C22×C4×D3C2×D311yescharacteristic
91C22×C3×C8—21no—
92C22×C3×C8—31no—
93C22×C3×C8—31no—
94C22×C3×C8—62no—
95C22×C3×C8—62no—
96C22×C3×C8—62no—
97C22×C3×C8C2×D311yescharacteristic
98C22×C3×C8C2×D311yescharacteristic
99C2×#217—31no—
100C2×#217—31no—
101C4×#67—62no—
102C4×#67—62no—
103C4×#67—62no—
104C4×#67—62no—
105C2×(C2×D3)⋊C4—31no—
106C2×(C2×D3)⋊C4—31no—
107C2×Dic3⋊C4—31no—
108C2×Dic3⋊C4—31no—
109C2×C4×Dic3—31no—
110C2×C4×Dic3—31no—
111C2×C4×Dic3—61no—
112C22×C3⋊C8—31no—
113C22×C3⋊C8—31no—
114C22×C3⋊C8—61no—
115C22×C3⋊C8C2×D311yescharacteristic
116C22×C3⋊C8C2×D311yescharacteristic
117C2×D3×C8—22no—
118C2×D3×C8—22no—
119C2×D3×C8—22no—
120C3×C22⋊C8—62no—
121#830—62no—
122#830—62no—
123(C2×D3)⋊C8—22no—
124(C2×D3)⋊C8—62no—
125(C2×D3)⋊C8—62no—
126C23×C32C22×C411yescharacteristic
127C22×C3×D3—21no—
128C22×C3×D3—21no—
129C22×C3×D3—21no—
130C22×C3×D3—21no—
131C22×C3×D3—21no—
132C22×C3×D3—21no—
133C22×C3×D3—21no—
134C22×C3×D3—21no—
135C22×C3×D3—21no—
136C22×C3×D3—21no—
137C22×C3×D3C22⋊C412yes—
138C22×C3×D3C2×C812yes—
139C22×C3×D3C2×C812yescomplemented
140C22×C3×D3M1612yes—
141C2×C32×C4C2×D411yescharacteristic
142C2×C32×C4C2×D411yescharacteristic
143C2×C32×C4C2×D411yescharacteristic
144C2×C32×C4C2×D411yescharacteristic
145C2×C32×C4#4111yescharacteristic
146C2×C32×C4#4111yescharacteristic
147C2×C3⋊Dic3—21no—
148C2×C3⋊Dic3—21no—
149C2×C3⋊Dic3—21no—
150C2×C3⋊Dic3—21no—
151C2×C3⋊Dic3—21no—
152C2×C3⋊Dic3C2×C812yescomplemented
153C2×C3×Dic3—21no—
154C2×C3×Dic3—21no—
155C2×C3×Dic3—21no—
156C2×C3×Dic3—21no—
157C2×C3×Dic3—21no—
158C2×C3×Dic3C22⋊C412yes—
159C3×C4×D3—22no—
160C3×C4×D3—22no—
161C3×C4×D3—22no—
162C3×C4×D3—22no—
163C3×C4×D3—41no—
164C3×C4×D3—41no—
165C3×C4×D3—41no—
166C3×C4×D3—41no—
167#625—28no—
168C32×C8—22no—
169C3⋊(C3⋊C8)—41no—
170C3×C3⋊C8—22no—
171C3×C3⋊C8—41no—
172C23×C8—31no—
173C2×C4×D4—91no—
174C2×C22⋊C8—31no—
175C2×C22⋊C8—91no—
176C2×C22⋊C8—91no—
177#336—91no—
178#336—91no—
179C24×C3—31no—
180C24×C3—31no—
181C23×D3C4×D311yescharacteristic
182C23×D3C4×D311yescharacteristic
183C22×C3×C4—21no—
184C22×C3×C4—31no—
185C22×C3×C4—32no—
186C22×C3×C4—32no—
187C22×C3×C4—31no—
188C22×C3×C4—61no—
189C22×C3×C4—61no—
190C22×C3×C4—61no—
191C22×C3×C4—61no—
192C22×C3×C4—61no—
193C22×C3×C4—61no—
194C22×C3×C4—61no—
195C22×C3×C4—61no—
196C22×C3×C4—61no—
197C22×C3×C4—61no—
198C22×C3×C4C22×D311yescharacteristic
199C22×C3×C4C22×D311yescharacteristic
200C2×#67—34no—
201C2×#67—34no—
202C2×#67—62no—
203C2×#67—62no—
204C2×#67—62no—
205C2×#67—62no—
206C22×Dic3—31no—
207C22×Dic3—31no—
208C22×Dic3—31no—
209C22×Dic3—31no—
210C22×Dic3—61no—
211C22×Dic3—61no—
212C22×Dic3C4×D311yescharacteristic
213C22×Dic3C4×D311yescharacteristic
214C2×C4×D3—21no—
215C2×C4×D3—21no—
216C2×C4×D3—21no—
217C2×C4×D3—21no—
218C2×C4×D3—21no—
219C2×C4×D3—21no—
220C2×C4×D3—21no—
221C2×C4×D3—21no—
222C2×C4×D3—21no—
223C2×C4×D3—21no—
224C2×C4×D3D1212yes—
225C2×C4×D3#6712yes—
226C2×C3×C8—21no—
227C2×C3×C8—21no—
228C2×C3×C8—21no—
229C2×C3×C8—21no—
230C2×C3×C8—22no—
231C2×C3×C8—32no—
232C2×C3×C8—41no—
233C2×C3×C8—41no—
234C2×C3×C8—68no—
235C2×C3×C8—61no—
236C2×C3×C8—61no—
237C2×C3×C8—61no—
238C2×C3×C8—61no—
239C2×C3×C8—61no—
240C2×C3×C8#6712yescomplemented
241C2×C3×C8#6712yescomplemented
242#217—62no—
243#217—62no—
244(C2×D3)⋊C4—62no—
245(C2×D3)⋊C4—62no—
246Dic3⋊C4—62no—
247Dic3⋊C4—62no—
248C4×Dic3—61no—
249C4×Dic3—61no—
250C4×Dic3—61no—
251C4×Dic3—61no—
252C4×Dic3—121no—
253C4×Dic3—121no—
254C2×C3⋊C8—21no—
255C2×C3⋊C8—21no—
256C2×C3⋊C8—21no—
257C2×C3⋊C8—21no—
258C2×C3⋊C8—21no—
259C2×C3⋊C8—62no—
260C2×C3⋊C8—61no—
261C2×C3⋊C8—61no—
262C2×C3⋊C8—61no—
263C2×C3⋊C8—61no—
264C2×C3⋊C8—61no—
265C2×C3⋊C8—61no—
266C2×C3⋊C8—121no—
267C2×C3⋊C8—121no—
268C2×C3⋊C8#6712yescomplemented
269D3×C8—28no—
270C22×C32C2×C22⋊C411yescharacteristic
271C22×C32C4×D411yescharacteristic
272C22×C32C4×D411yescharacteristic
273C22×C32C22×C811yescharacteristic
274C22×C32C2×M1611yescharacteristic
275C22×C32#13111yescharacteristic
276C22×C32#13111yescharacteristic
277C2×C3×D3—22no—
278C2×C3×D3—22no—
279C2×C3×D3—22no—
280C2×C3×D3—22no—
281C2×C3×D3—22no—
282C2×C3×D3—22no—
283C2×C3×D3—22no—
284C2×C3×D3—22no—
285C2×C3×D3—22no—
286C2×C3×D3—41no—
287C2×C3×D3—41no—
288C2×C3×D3—41no—
289C2×C3×D3—41no—
290C2×C3×D3C22⋊C814yescomplemented
291C32×C4#12011yescharacteristic
292C32×C4#12111yescharacteristic
293C32×C4#12111yescharacteristic
294C32×C4#12311yescharacteristic
295C3⋊Dic3—22no—
296C3⋊Dic3—41no—
297C3×Dic3—22no—
298C3×Dic3—41no—
299C22×D4—91no—
300C23×C4—31no—
301C23×C4—31no—
302C22×C8—31no—
303C22×C8—31no—
304C22×C8—62no—
305C22×C8—62no—
306C22×C8—62no—
307C22×C8—91no—
308C22×C8D3211yescharacteristic
309C4×D4—182no—
310C4×D4—182no—
311C2×C4⋊C4—91no—
312C2×C22⋊C4—91no—
313C2×C22⋊C4—91no—
314C2×C42—91no—
315C22⋊C8—62no—
316C22⋊C8—182no—
317C22⋊C8—182no—
318C23×C3—21no—
319C23×C3—32no—
320C23×C3—32no—
321C23×C3—32no—
322C23×C3—32no—
323C23×C3—61no—
324C23×C3—61no—
325C23×C3—61no—
326C23×C3—61no—
327C23×C3—61no—
328C23×C3—61no—
329C23×C3—61no—
330C23×C3—61no—
331C23×C3—61no—
332C23×C3—61no—
333C23×C3C2×C4×D311yescharacteristic
334C23×C3C2×C4×D311yescharacteristic
335C22×D3—21no—
336C22×D3—21no—
337C22×D3—21no—
338C22×D3—21no—
339C22×D3—21no—
340C22×D3—21no—
341C22×D3—21no—
342C22×D3—21no—
343C22×D3—21no—
344C22×D3—21no—
345C22×D3D3×C812yes—
346C22×D3D3×C812yescomplemented
347C22×D3ΓL(1,𝔽25)12yes—
348C22×D3(C2×D3)⋊C412yes—
349C2×C3×C4—21no—
350C2×C3×C4—21no—
351C2×C3×C4—21no—
352C2×C3×C4—21no—
353C2×C3×C4—21no—
354C2×C3×C4—21no—
355C2×C3×C4—32no—
356C2×C3×C4—61no—
357C2×C3×C4—61no—
358C2×C3×C4—62no—
359C2×C3×C4—62no—
360C2×C3×C4—62no—
361C2×C3×C4—62no—
362C2×C3×C4—61no—
363C2×C3×C4—61no—
364C2×C3×C4—61no—
365C2×C3×C4—121no—
366C2×C3×C4—121no—
367C2×C3×C4—121no—
368C2×C3×C4—121no—
369C2×C3×C4C2×D1211yescharacteristic
370C2×C3×C4#23511yescharacteristic
371C2×C3×C4#23511yescharacteristic
372C2×C3×C4#23511yescharacteristic
373C2×C3×C4D3×D411yescharacteristic
374C2×C3×C4D3×D411yescharacteristic
375C2×C3×C4D3×D411yescharacteristic
376C2×C3×C4#23711yescharacteristic
377C2×C3×C4C2×#6711yescharacteristic
378C2×C3×C4C2×#6711yescharacteristic
379C2×C3×C4C2×#6711yescharacteristic
380C2×C3×C4C2×#6711yescharacteristic
381#67—68no—
382#67—68no—
383C2×Dic3—21no—
384C2×Dic3—21no—
385C2×Dic3—21no—
386C2×Dic3—21no—
387C2×Dic3—21no—
388C2×Dic3—32no—
389C2×Dic3—32no—
390C2×Dic3—62no—
391C2×Dic3—61no—
392C2×Dic3—61no—
393C2×Dic3—61no—
394C2×Dic3—61no—
395C2×Dic3—62no—
396C2×Dic3—61no—
397C2×Dic3—61no—
398C2×Dic3—61no—
399C2×Dic3—61no—
400C2×Dic3—61no—
401C2×Dic3—61no—
402C2×Dic3—121no—
403C2×Dic3—121no—
404C2×Dic3—121no—
405C2×Dic3—121no—
406C2×Dic3(C2×D3)⋊C412yes—
407C4×D3—22no—
408C4×D3—22no—
409C4×D3—22no—
410C4×D3—22no—
411C4×D3—41no—
412C4×D3—41no—
413C4×D3—41no—
414C4×D3—41no—
415C3×C8—22no—
416C3×C8—22no—
417C3×C8—42no—
418C3×C8—62no—
419C3×C8—121no—
420C3⋊C8—22no—
421C3⋊C8—41no—
422C3⋊C8—122no—
423C3⋊C8—121no—
424C3⋊C8—121no—
425C2×C32#38611yescharacteristic
426C2×C32C2×C22⋊C811yescharacteristic
427C2×C32#40811yescharacteristic
428C2×C32C8×D411yescharacteristic
429C2×C32C8×D411yescharacteristic
430C2×C32#43511yescharacteristic
431C2×C32#43511yescharacteristic
432C3×D3—24no—
433C3×D3—42no—
434C24—31no—
435C24—31no—
436C2×D4—94no—
437C2×D4—182no—
438C2×D4—182no—
439C22×C4—31no—
440C22×C4—32no—
441C22×C4—32no—
442C22×C4—31no—
443C22×C4—61no—
444C22×C4—61no—
445C22×C4—61no—
446C22×C4—61no—
447C22×C4—61no—
448C22×C4—61no—
449C22×C4—61no—
450C22×C4—61no—
451C22×C4—61no—
452C22×C4—61no—
453C22×C4—91no—
454C22×C4—91no—
455C22×C4C2×D3211yescharacteristic
456C2×C8—21no—
457C2×C8—21no—
458C2×C8—32no—
459C2×C8—68no—
460C2×C8—61no—
461C2×C8—61no—
462C2×C8—61no—
463C2×C8—61no—
464C2×C8—61no—
465C2×C8—181no—
466C2×C8—181no—
467C2×C8—181no—
468C2×C8#62512yescomplemented
469C4⋊C4—182no—
470C22⋊C4—182no—
471C22⋊C4—182no—
472C42—181no—
473C42—181no—
474C22×C3—21no—
475C22×C3—21no—
476C22×C3—21no—
477C22×C3—21no—
478C22×C3—21no—
479C22×C3—21no—
480C22×C3—21no—
481C22×C3—34no—
482C22×C3—62no—
483C22×C3—62no—
484C22×C3—62no—
485C22×C3—62no—
486C22×C3—62no—
487C22×C3—62no—
488C22×C3—62no—
489C22×C3—62no—
490C22×C3—62no—
491C22×C3—121no—
492C22×C3—121no—
493C22×C3—121no—
494C22×C3—121no—
495C22×C3D3×C22⋊C411yescharacteristic
496C22×C3#67⋊C411yescharacteristic
497C22×C3C2×D3×C811yescharacteristic
498C22×C3C2×D3×C811yescharacteristic
499C22×C3C2×ΓL(1,𝔽25)11yescharacteristic
500C22×C3#90111yescharacteristic
501C22×C3#90111yescharacteristic
502C22×C3#90111yescharacteristic
503C22×C3D3×M1611yescharacteristic
504C22×C3#90711yescharacteristic
505C22×C3C2×(C2×D3)⋊C411yescharacteristic
506C22×C3C4×#6711yescharacteristic
507C22×C3C4×#6711yescharacteristic
508C22×C3C4×#6711yescharacteristic
509C2×D3—22no—
510C2×D3—22no—
511C2×D3—22no—
512C2×D3—22no—
513C2×D3—22no—
514C2×D3—22no—
515C2×D3—22no—
516C2×D3—22no—
517C2×D3—22no—
518C2×D3—41no—
519C2×D3—41no—
520C2×D3—41no—
521C2×D3—41no—
522C2×D3(C2×D3)⋊C814yescomplemented
523C3×C4—21no—
524C3×C4—21no—
525C3×C4—21no—
526C3×C4—21no—
527C3×C4—62no—
528C3×C4—121no—
529C3×C4#88311yescharacteristic
530C3×C4#88411yescharacteristic
531C3×C4#92911yescharacteristic
532C3×C4#93011yescharacteristic
533C3×C4#93011yescharacteristic
534C3×C4#93711yescharacteristic
535C3×C4#93811yescharacteristic
536C3×C4#95311yescharacteristic
537Dic3—22no—
538Dic3—41no—
539Dic3—62no—
540Dic3—62no—
541Dic3—122no—
542Dic3—122no—
543Dic3—121no—
544Dic3—121no—
545C32#186911yescharacteristic, complemented, Sylow
546C23—32no—
547C23—32no—
548C23—32no—
549C23—32no—
550C23—61no—
551C23—61no—
552C23—61no—
553C23—61no—
554C23—61no—
555C23—61no—
556C23—61no—
557C23—61no—
558C23—61no—
559C23—61no—
560C23C4×D3211yescharacteristic
561D4—188no—
562C2×C4—32no—
563C2×C4—61no—
564C2×C4—61no—
565C2×C4—62no—
566C2×C4—62no—
567C2×C4—62no—
568C2×C4—62no—
569C2×C4—61no—
570C2×C4—61no—
571C2×C4—61no—
572C2×C4—92no—
573C2×C4—121no—
574C2×C4—121no—
575C2×C4—121no—
576C2×C4—121no—
577C2×C4—181no—
578C2×C4—181no—
579C2×C4—181no—
580C2×C4—181no—
581C2×C4—181no—
582C2×C4#379511yescharacteristic
583C2×C4#379811yescharacteristic
584C2×C4D3×D1211yescharacteristic
585C2×C4C2×#62511yescharacteristic
586C2×C4D3×#6711yescharacteristic
587C2×C4D3×#6711yescharacteristic
588C8—22no—
589C8—62no—
590C8—121no—
591C8—361no—
592C2×C3—21no—
593C2×C3—21no—
594C2×C3—21no—
595C2×C3—21no—
596C2×C3—21no—
597C2×C3—21no—
598C2×C3—21no—
599C2×C3—64no—
600C2×C3—122no—
601C2×C3D3×C22⋊C811yescharacteristic
602C2×C3#67⋊C811yescharacteristic
603C2×C3#472711yescharacteristic
604C2×C3#472811yescharacteristic
605C2×C3#495611yescharacteristic
606C2×C3C2×(C2×D3)⋊C811yescharacteristic
607C2×C3C8×#6711yescharacteristic
608C2×C3C8×#6711yescharacteristic
609C2×C3C8×#6711yescharacteristic
610C2×C3#511011yescharacteristic
611C2×C3#511111yescharacteristic
612C2×C3#511111yescharacteristic
613C2×C3#512711yescharacteristic
614C2×C3#521311yescharacteristic
615D3—24no—
616D3—42no—
617C22—34no—
618C22—62no—
619C22—62no—
620C22—62no—
621C22—62no—
622C22—62no—
623C22—62no—
624C22—62no—
625C22—62no—
626C22—62no—
627C22—121no—
628C22—121no—
629C22—121no—
630C22—121no—
631C22D32×C811yescharacteristic
632C22D3×ΓL(1,𝔽25)11yescharacteristic
633C22#6380311yescharacteristic
634C22#6380411yescharacteristic
635C22#6387911yescharacteristic
636C22C4×#62511yescharacteristic
637C22D3×(C2×D3)⋊C411yescharacteristic
638C4—62no—
639C4—121no—
640C4—182no—
641C4—361no—
642C4#6390511yescharacteristic
643C4#6390611yescharacteristic
644C4#6390811yescharacteristic
645C4#6397611yescharacteristic
646C3—21no—
647C3#6995711yescharacteristic, complemented
648C3#7197511yescharacteristic, complemented
649C2—64no—
650C2—122no—
651C2C8×#62511yescharacteristic
652C2#1059071711yescharacteristic
653C2#1059072211yescharacteristic
654C2#1059072311yescharacteristic
655C2D3×(C2×D3)⋊C811yescharacteristic
656C2#1059095311yescharacteristic
657C2#1059138111yescharacteristic
subgroupG/H
center, FrattiniC22×C4C2×D32
commutatorC22×C32C22×C8
FittingC22×C32×C8C22
socleC23×C32C22×C4
prime radicalC22×#625C4
cosocleC22×C32×C4C23
hypercenterC22×C8D32
hypocenterC32#1869
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
1. C22×C3×D3×C8C2semidirect
3. C2×C3×(C2×D3)⋊C8C2semidirect
4. C2×(C2×D3)⋊(C3⋊C8)C2semidirect
5. C2×(C2×D3)⋊(C3⋊C8)C2semidirect
6. #10589416C2semidirect
7. #10589156C2semidirect
32. C22×D3×C8D3semidirect
38. C2×(C2×D3)⋊C8D3semidirect
65. C2×#625C8semidirect
68. C2×C32×C8D4semidirect
79. C2×C3×C3⋊C8D4semidirect
139. C22×C3×D3C2×C8semidirect
152. C2×C3⋊Dic3C2×C8semidirect
240. C2×C3×C8#67semidirect
241. C2×C3×C8#67semidirect
268. C2×C3⋊C8#67semidirect
290. C2×C3×D3C22⋊C8semidirect
346. C22×D3D3×C8semidirect
468. C2×C8#625semidirect
522. C2×D3(C2×D3)⋊C8semidirect
545. C32#1869semidirect
647. C3#69957semidirect
648. C3#71975semidirect

Maximal subgroups

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

subgroupindex
C22×C3×D3×C82
C2×C4×#6252
C2×C3×(C2×D3)⋊C82
C2×(C2×D3)⋊(C3⋊C8)2
#105894162
#105891562
#719753
#699573