Finite Group Databasebeta

← C3×#10590720 #13157720

Subgroups — C3×#10590720 #13157720

Order 1728.

722 conjugacy classes of subgroups.

The subgroup lattice has 598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×D3×C8C211yesmaximal, characteristic, complemented
2C3×C4×#626C211yesmaximal, characteristic
3C2×C3×#3710C211yesmaximal, characteristic, complemented
4C3×#63647C211yesmaximal, characteristic, complemented
5C32×Dic3⋊C8C211yesmaximal, characteristic, complemented
6C3×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
7C3×Dic3×C3⋊C8C211yesmaximal, characteristic, complemented
8C3×C8×#67—31nomaximal
9C3×#4834—31nomaximal
10#10590720C311yesmaximal, characteristic, direct product factor
11C2×C3×C4×C3⋊D3C2211yescharacteristic
12C2×C32×C4×D3C2211yescharacteristic
13C2×C3×#626C411yescharacteristic
14C2×C33×C8C2211yescharacteristic
15C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
16C32×C4×Dic3C2211yescharacteristic
17C2×C32×C3⋊C8C2211yescharacteristic
18C2×C32×C3⋊C8C2211yescharacteristic
19C32×D3×C8—22no—
20C3×Dic3⋊Dic3C411yescharacteristic
21C3×#3722C411yescharacteristic
22C3×(C2×D3)⋊Dic3C411yescharacteristic
23C3×#3710—22no—
24C22×C32×C8—31no—
25C3×C4×#67—31no—
26C2×C3×D3×C8—21no—
27C2×C3×D3×C8—31no—
28C2×C3×D3×C8—31no—
29C2×C3×D3×C8D311yescharacteristic, complemented
30C2×C3×D3×C8C2×C311yescharacteristic, complemented
31C3×C4×D12—31no—
32C4×#626C2×C311yescharacteristic
33C2×#3710C2×C311yescharacteristic, complemented
34C32×C4⋊C8—31no—
35#63647C2×C311yescharacteristic, complemented
36C3×#830—31no—
37C3×(C2×D3)⋊C8—31no—
38C3×(C2×D3)⋊C8—31no—
39C3×(C2×D3)⋊C8—31no—
40C3×(C2×D3)⋊C8—61no—
41C3×Dic3⋊C8—21no—
42C3×Dic3⋊C8D311yescharacteristic, complemented
43C3×Dic3⋊C8C2×C311yescharacteristic, complemented
44C3×C8×Dic3—31no—
45C3×C4×C3⋊C8—31no—
46(C2×D3)⋊(C3⋊C8)C2×C311yescharacteristic, complemented
47Dic3×C3⋊C8C2×C311yescharacteristic, complemented
48C22×C3×C3⋊D3C2×C411yescharacteristic
49C22×C32×D3C2×C411yescharacteristic
50C2×C33×C4C2311yescharacteristic
51C2×C3×C3⋊Dic3C2×C411yescharacteristic
52C3×C4×C3⋊D3—21no—
53C3×C4×C3⋊D3—21no—
54C2×C32×Dic3C2×C411yescharacteristic
55C2×C32×Dic3C2×C411yescharacteristic
56C2×C32×Dic3C2×C411yescharacteristic
57C32×C4×D3—21no—
58C32×C4×D3—21no—
59C3×#626C814yescomplemented
60C33×C8—21no—
61C3×C3⋊(C3⋊C8)—21no—
62C32×C3⋊C8—21no—
63C32×C3⋊C8D412yescomplemented
64C3×C8×D4—91no—
65C8×#67—31no—
66#4834—31no—
67C22×C32×C4—31no—
68C2×C4×C3⋊D3C22×C311yescharacteristic
69C2×C3×#67—31no—
70C2×C3×D12—31no—
71C2×C3×C4×D3—21no—
72C2×C3×C4×D3—31no—
73C2×C3×C4×D3—31no—
74C2×C3×C4×D3—61no—
75C2×C3×C4×D3C2×D311yescharacteristic
76C2×C3×C4×D3C22×C311yescharacteristic
77C2×#626C3×C411yescharacteristic
78C2×C32×C8—21no—
79C2×C32×C8—21no—
80C2×C32×C8—21no—
81C2×C32×C8—31no—
82C2×C32×C8—31no—
83C2×C32×C8—41no—
84C2×C32×C8—62no—
85C2×C32×C8C2×D311yescharacteristic
86C2×C32×C8C2×D311yescharacteristic
87C2×C32×C8C22×C311yescharacteristic
88C32×C42—31no—
89C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
90C3×#217—31no—
91C3×(C2×D3)⋊C4—31no—
92C3×(C2×D3)⋊C4—31no—
93C3×(C2×D3)⋊C4—31no—
94C3×C4⋊Dic3—31no—
95C3×Dic3⋊C4—31no—
96C3×C4×Dic3—21no—
97C3×C4×Dic3C2×D311yescharacteristic
98C3×C4×Dic3C22×C311yescharacteristic
99C2×C3×C3⋊C8—21no—
100C2×C3×C3⋊C8—21no—
101C2×C3×C3⋊C8—31no—
102C2×C3×C3⋊C8—31no—
103C2×C3×C3⋊C8—61no—
104C2×C3×C3⋊C8C2×D311yescharacteristic
105C2×C3×C3⋊C8C2×D311yescharacteristic
106C2×C3×C3⋊C8C22×C311yescharacteristic
107C2×C3×C3⋊C8C22×C311yescharacteristic
108C3×D3×C8—24no—
109C3×D3×C8—22no—
110C3×D3×C8—22no—
111C3×D3×C8—62no—
112C3×D3×C8—62no—
113Dic3⋊Dic3C3×C411yescharacteristic
114#3722C3×C411yescharacteristic
115(C2×D3)⋊Dic3C3×C411yescharacteristic
116#3710—22no—
117C22×C33C22×C411yescharacteristic
118C2×C3×C3⋊D3—21no—
119C2×C3×C3⋊D3—21no—
120C2×C3×C3⋊D3C2×C812yescomplemented
121C2×C32×D3—21no—
122C2×C32×D3—21no—
123C2×C32×D3C2×C812yescomplemented
124C33×C4C2×D411yescharacteristic
125C33×C4#4111yescharacteristic
126C3×C3⋊Dic3—21no—
127C32×Dic3—21no—
128C32×Dic3—21no—
129C32×Dic3C2×C812yescomplemented
130C22×C3×C8—31no—
131C22×C3×C8—31no—
132C22×C3×C8—61no—
133C22×C3×C8—91no—
134C3×C4×D4—91no—
135C4×#67—31no—
136C2×D3×C8—31no—
137C2×D3×C8—31no—
138C2×D3×C8C3×D311yescharacteristic, complemented
139C4×D12—31no—
140C3×C4⋊C8—31no—
141C3×C4⋊C8—31no—
142C3×C4⋊C8—61no—
143C3×C22⋊C8—91no—
144C3×C22⋊C8—91no—
145C3×C4×C8—91no—
146#830—31no—
147(C2×D3)⋊C8—31no—
148(C2×D3)⋊C8—31no—
149(C2×D3)⋊C8—31no—
150(C2×D3)⋊C8—61no—
151Dic3⋊C8C3×D311yescharacteristic, complemented
152C8×Dic3—31no—
153C4×C3⋊C8—31no—
154C23×C32—31no—
155C22×C3⋊D3C2×C3×C411yescharacteristic
156C22×C3×D3—21no—
157C22×C3×D3—31no—
158C22×C3×D3—31no—
159C22×C3×D3—61no—
160C22×C3×D3C4×D311yescharacteristic
161C22×C3×D3C2×C3×C411yescharacteristic
162C2×C32×C4—21no—
163C2×C32×C4—21no—
164C2×C32×C4—21no—
165C2×C32×C4—31no—
166C2×C32×C4—31no—
167C2×C32×C4—31no—
168C2×C32×C4—41no—
169C2×C32×C4—61no—
170C2×C32×C4—61no—
171C2×C32×C4C22×D311yescharacteristic
172C2×C32×C4C22×D311yescharacteristic
173C2×C32×C4C23×C311yescharacteristic
174C2×C3⋊Dic3C2×C3×C411yescharacteristic
175C4×C3⋊D3—21no—
176C4×C3⋊D3—21no—
177C3×#67—34no—
178C2×C3×Dic3—21no—
179C2×C3×Dic3—21no—
180C2×C3×Dic3—21no—
181C2×C3×Dic3—31no—
182C2×C3×Dic3—31no—
183C2×C3×Dic3—61no—
184C2×C3×Dic3C4×D311yescharacteristic
185C2×C3×Dic3C4×D311yescharacteristic
186C2×C3×Dic3C4×D311yescharacteristic
187C2×C3×Dic3C2×C3×C411yescharacteristic
188C2×C3×Dic3C2×C3×C411yescharacteristic
189C2×C3×Dic3C2×C3×C411yescharacteristic
190C3×D12—34no—
191C3×C4×D3—22no—
192C3×C4×D3—22no—
193C3×C4×D3—21no—
194C3×C4×D3—21no—
195C3×C4×D3—21no—
196C3×C4×D3—21no—
197C3×C4×D3—61no—
198C3×C4×D3—61no—
199C3×C4×D3—61no—
200C3×C4×D3—61no—
201C3×C4×D3—121no—
202C3×C4×D3—121no—
203#626C3×C814yescomplemented
204C32×C8—21no—
205C32×C8—22no—
206C32×C8—21no—
207C32×C8—21no—
208C32×C8—32no—
209C32×C8—41no—
210C32×C8—41no—
211C32×C8—42no—
212C32×C8—61no—
213C3⋊(C3⋊C8)—21no—
214C3×C3⋊C8—21no—
215C3×C3⋊C8—21no—
216C3×C3⋊C8—22no—
217C3×C3⋊C8—41no—
218C3×C3⋊C8—61no—
219C3×C3⋊C8—61no—
220C3×C3⋊C8—121no—
221C3×C3⋊C8#6712yescomplemented
222C3×C3⋊C8C3×D412yescomplemented
223C8×D4—91noSylow
224C2×C33C4×D411yescharacteristic
225C2×C33C22×C811yescharacteristic
226C2×C33#13111yescharacteristic
227C3×C3⋊D3—22no—
228C32×D3—22no—
229C2×C3×D4—91no—
230C22×C3×C4—31no—
231C22×C3×C4—31no—
232C22×C3×C4—61no—
233C22×C3×C4—91no—
234C2×#67—31no—
235C2×D12—31no—
236C2×C4×D3—31no—
237C2×C4×D3—31no—
238C2×C4×D3—61no—
239C2×C4×D3C2×C3×D311yescharacteristic
240C2×C3×C8—21no—
241C2×C3×C8—21no—
242C2×C3×C8—21no—
243C2×C3×C8—31no—
244C2×C3×C8—31no—
245C2×C3×C8—31no—
246C2×C3×C8—31no—
247C2×C3×C8—41no—
248C2×C3×C8—61no—
249C2×C3×C8—61no—
250C2×C3×C8—62no—
251C2×C3×C8—62no—
252C2×C3×C8—64no—
253C2×C3×C8—91no—
254C2×C3×C8—182no—
255C2×C3×C8D3211yescharacteristic
256C2×C3×C8C2×C3×D311yescharacteristic
257C2×C3×C8C2×C3×D311yescharacteristic
258C3×C4⋊C4—91no—
259C3×C22⋊C4—91no—
260C3×C22⋊C4—91no—
261C3×C42—31no—
262C3×C42—31no—
263C3×C42—61no—
264#217—31no—
265(C2×D3)⋊C4—31no—
266(C2×D3)⋊C4—31no—
267(C2×D3)⋊C4—31no—
268C4⋊Dic3—31no—
269Dic3⋊C4—31no—
270C4×Dic3C2×C3×D311yescharacteristic
271C2×C3⋊C8—31no—
272C2×C3⋊C8—31no—
273C2×C3⋊C8—61no—
274C2×C3⋊C8C2×C3×D311yescharacteristic
275C2×C3⋊C8C2×C3×D311yescharacteristic
276D3×C8—22no—
277D3×C8—62no—
278D3×C8—62no—
279C22×C32—21no—
280C22×C32—21no—
281C22×C32—21no—
282C22×C32—32no—
283C22×C32—41no—
284C22×C32—61no—
285C22×C32—61no—
286C22×C32C2×C4×D311yescharacteristic
287C22×C32C2×C4×D311yescharacteristic
288C22×C32C22×C3×C411yescharacteristic
289C2×C3⋊D3—21no—
290C2×C3⋊D3—21no—
291C2×C3⋊D3C2×C3×C812yescomplemented
292C2×C3×D3—22no—
293C2×C3×D3—22no—
294C2×C3×D3—21no—
295C2×C3×D3—21no—
296C2×C3×D3—21no—
297C2×C3×D3—21no—
298C2×C3×D3—22no—
299C2×C3×D3—32no—
300C2×C3×D3—32no—
301C2×C3×D3—62no—
302C2×C3×D3—61no—
303C2×C3×D3—61no—
304C2×C3×D3—61no—
305C2×C3×D3—61no—
306C2×C3×D3—121no—
307C2×C3×D3—121no—
308C2×C3×D3D3×C812yescomplemented
309C2×C3×D3C2×C3×C812yescomplemented
310C32×C4—21no—
311C32×C4—21no—
312C32×C4—21no—
313C32×C4—21no—
314C32×C4—21no—
315C32×C4—21no—
316C32×C4—32no—
317C32×C4—41no—
318C32×C4—41no—
319C32×C4—61no—
320C32×C4—61no—
321C32×C4#23511yescharacteristic
322C32×C4D3×D411yescharacteristic
323C32×C4#23911yescharacteristic
324C32×C4C2×#6711yescharacteristic
325C32×C4C2×C3×D411yescharacteristic
326C32×C4C3×#4111yescharacteristic
327C3⋊Dic3—21no—
328C3×Dic3—22no—
329C3×Dic3—21no—
330C3×Dic3—21no—
331C3×Dic3—21no—
332C3×Dic3—21no—
333C3×Dic3—22no—
334C3×Dic3—41no—
335C3×Dic3—61no—
336C3×Dic3—61no—
337C3×Dic3—121no—
338C3×Dic3D3×C812yescomplemented
339C3×Dic3C2×C3×C812yescomplemented
340C22×C8—31no—
341C22×C8—91no—
342C4×D4—91no—
343C4⋊C8—31no—
344C22⋊C8—91no—
345C22⋊C8—91no—
346C4×C8—91no—
347C33C8×D411yescharacteristic, complemented, Sylow
348C23×C3—31no—
349C23×C3—31no—
350C23×C3—61no—
351C23×C3—91no—
352C22×D3—31no—
353C22×D3—31no—
354C22×D3—61no—
355C22×D3C3×C4×D311yescharacteristic
356C3×D4—94no—
357C2×C3×C4—21no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—31no—
361C2×C3×C4—31no—
362C2×C3×C4—31no—
363C2×C3×C4—31no—
364C2×C3×C4—31no—
365C2×C3×C4—31no—
366C2×C3×C4—41no—
367C2×C3×C4—61no—
368C2×C3×C4—61no—
369C2×C3×C4—61no—
370C2×C3×C4—62no—
371C2×C3×C4—62no—
372C2×C3×C4—61no—
373C2×C3×C4—61no—
374C2×C3×C4—61no—
375C2×C3×C4—61no—
376C2×C3×C4—91no—
377C2×C3×C4—181no—
378C2×C3×C4—181no—
379C2×C3×C4C2×D3211yescharacteristic
380C2×C3×C4C22×C3×D311yescharacteristic
381C2×C3×C4C22×C3×D311yescharacteristic
382#67—34no—
383C2×Dic3—31no—
384C2×Dic3—31no—
385C2×Dic3—61no—
386C2×Dic3C3×C4×D311yescharacteristic
387C2×Dic3C3×C4×D311yescharacteristic
388C2×Dic3C3×C4×D311yescharacteristic
389D12—34no—
390C4×D3—21no—
391C4×D3—21no—
392C4×D3—61no—
393C4×D3—61no—
394C4×D3—61no—
395C4×D3—61no—
396C4×D3—121no—
397C4×D3—121no—
398C3×C8—22no—
399C3×C8—21no—
400C3×C8—21no—
401C3×C8—21no—
402C3×C8—32no—
403C3×C8—32no—
404C3×C8—41no—
405C3×C8—41no—
406C3×C8—42no—
407C3×C8—62no—
408C3×C8—61no—
409C3×C8—61no—
410C3×C8—121no—
411C3×C8—181no—
412C3⋊C8—21no—
413C3⋊C8—61no—
414C3⋊C8—61no—
415C3⋊C8—121no—
416C3⋊C8C3×#6712yescomplemented
417C2×C32—21no—
418C2×C32—21no—
419C2×C32—21no—
420C2×C32—21no—
421C2×C32—21no—
422C2×C32—21no—
423C2×C32—21no—
424C2×C32—21no—
425C2×C32—21no—
426C2×C32—41no—
427C2×C32—41no—
428C2×C32—41no—
429C2×C32—62no—
430C2×C32#89311yescharacteristic
431C2×C32C2×D3×C811yescharacteristic
432C2×C32C2×D3×C811yescharacteristic
433C2×C32#90111yescharacteristic
434C2×C32#90711yescharacteristic
435C2×C32C4×#6711yescharacteristic
436C2×C32C3×C4×D411yescharacteristic
437C2×C32C22×C3×C811yescharacteristic
438C2×C32C3×#13111yescharacteristic
439C3⋊D3—22no—
440C3×D3—24no—
441C3×D3—22no—
442C3×D3—22no—
443C3×D3—62no—
444C3×D3—62no—
445C3×D3—122no—
446C2×D4—91no—
447C22×C4—31no—
448C22×C4—91no—
449C2×C8—31no—
450C2×C8—31no—
451C2×C8—62no—
452C2×C8—91no—
453C2×C8—182no—
454C2×C8C3×D3211yescharacteristic
455C4⋊C4—91no—
456C22⋊C4—91no—
457C22⋊C4—91no—
458C42—31no—
459C22×C3—21no—
460C22×C3—21no—
461C22×C3—21no—
462C22×C3—32no—
463C22×C3—32no—
464C22×C3—41no—
465C22×C3—62no—
466C22×C3—62no—
467C22×C3—62no—
468C22×C3—61no—
469C22×C3—61no—
470C22×C3—61no—
471C22×C3—61no—
472C22×C3—92no—
473C22×C3—181no—
474C22×C3—181no—
475C22×C3C4×D3211yescharacteristic
476C22×C3C2×C3×C4×D311yescharacteristic
477C22×C3C2×C3×C4×D311yescharacteristic
478C2×D3—21no—
479C2×D3—21no—
480C2×D3—32no—
481C2×D3—32no—
482C2×D3—62no—
483C2×D3—61no—
484C2×D3—61no—
485C2×D3—61no—
486C2×D3—61no—
487C2×D3—121no—
488C2×D3—121no—
489C2×D3C3×D3×C812yescomplemented
490C3×C4—21no—
491C3×C4—21no—
492C3×C4—21no—
493C3×C4—21no—
494C3×C4—21no—
495C3×C4—21no—
496C3×C4—32no—
497C3×C4—32no—
498C3×C4—41no—
499C3×C4—41no—
500C3×C4—62no—
501C3×C4—62no—
502C3×C4—61no—
503C3×C4—61no—
504C3×C4—61no—
505C3×C4—61no—
506C3×C4—121no—
507C3×C4—181no—
508C3×C4#379911yescharacteristic
509C3×C4D3×#6711yescharacteristic
510C3×C4C3×#23511yescharacteristic
511C3×C4C3×D3×D411yescharacteristic
512C3×C4C3×#23911yescharacteristic
513C3×C4C2×C3×#6711yescharacteristic
514Dic3—21no—
515Dic3—21no—
516Dic3—61no—
517Dic3—61no—
518Dic3—121no—
519Dic3C3×D3×C812yescomplemented
520C32—21no—
521C32—21no—
522C32—21no—
523C32—41no—
524C32#483411yescharacteristic, complemented
525C32C8×#6711yescharacteristic, complemented
526C32C3×C8×D411yescharacteristic, complemented
527C23—31no—
528C23—91no—
529D4—94no—
530C2×C4—31no—
531C2×C4—31no—
532C2×C4—31no—
533C2×C4—61no—
534C2×C4—61no—
535C2×C4—91no—
536C2×C4—181no—
537C2×C4—181no—
538C2×C4C2×C3×D3211yescharacteristic
539C8—21no—
540C8—32no—
541C8—61no—
542C8—181no—
543C2×C3—21no—
544C2×C3—21no—
545C2×C3—21no—
546C2×C3—21no—
547C2×C3—21no—
548C2×C3—21no—
549C2×C3—21no—
550C2×C3—21no—
551C2×C3—21no—
552C2×C3—41no—
553C2×C3—41no—
554C2×C3—41no—
555C2×C3—64no—
556C2×C3—62no—
557C2×C3—62no—
558C2×C3—182no—
559C2×C3D32×C811yescharacteristic
560C2×C3#6380411yescharacteristic
561C2×C3#6390411yescharacteristic
562C2×C3C3×#89311yescharacteristic
563C2×C3C2×C3×D3×C811yescharacteristic
564C2×C3C2×C3×D3×C811yescharacteristic
565C2×C3C3×#90111yescharacteristic
566C2×C3C3×#90711yescharacteristic
567C2×C3C3×C4×#6711yescharacteristic
568D3—22no—
569D3—62no—
570D3—62no—
571D3—122no—
572C22—32no—
573C22—61no—
574C22—61no—
575C22—92no—
576C22—181no—
577C22—181no—
578C22C3×C4×D3211yescharacteristic
579C4—32no—
580C4—61no—
581C4—61no—
582C4—181no—
583C4C3×#379911yescharacteristic
584C4C3×D3×#6711yescharacteristic
585C3—21no—
586C3—21no—
587C3—21no—
588C3—41no—
589C3#1059072011yescharacteristic, direct product factor
590C3C3×#483411yescharacteristic, complemented
591C3C3×C8×#6711yescharacteristic, complemented
592C2—62no—
593C2—182no—
594C2C3×D32×C811yescharacteristic
595C2C3×#6380411yescharacteristic
596C2C3×#6390411yescharacteristic
subgroupG/H
centerC2×C3×C4C2×D32
commutatorC2×C32C22×C3×C8
FrattiniC2×C4C2×C3×D32
FittingC2×C33×C8C22
socleC22×C33C22×C4
prime radicalC2×C3×#626C4
cosocleC2×C32×C4C23×C3
hypercenterC2×C3×C8D32
hypocenterC32C3×C8×D4
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C3×C4 ◁ C2×C3×C8

Complements

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

NH ≅ G/Ntype
1. C2×C32×D3×C8C2semidirect
3. C2×C3×#3710C2semidirect
4. C3×#63647C2semidirect
5. C32×Dic3⋊C8C2semidirect
6. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
7. C3×Dic3×C3⋊C8C2semidirect
10. #10590720C3direct (N × H)
29. C2×C3×D3×C8D3semidirect
30. C2×C3×D3×C8C2×C3semidirect
33. C2×#3710C2×C3semidirect
35. #63647C2×C3semidirect
42. C3×Dic3⋊C8D3semidirect
43. C3×Dic3⋊C8C2×C3semidirect
46. (C2×D3)⋊(C3⋊C8)C2×C3semidirect
47. Dic3×C3⋊C8C2×C3semidirect
59. C3×#626C8semidirect
63. C32×C3⋊C8D4semidirect
120. C2×C3×C3⋊D3C2×C8semidirect
123. C2×C32×D3C2×C8semidirect
129. C32×Dic3C2×C8semidirect
138. C2×D3×C8C3×D3semidirect
151. Dic3⋊C8C3×D3semidirect
203. #626C3×C8semidirect
221. C3×C3⋊C8#67semidirect
222. C3×C3⋊C8C3×D4semidirect
291. C2×C3⋊D3C2×C3×C8semidirect
308. C2×C3×D3D3×C8semidirect
309. C2×C3×D3C2×C3×C8semidirect
338. C3×Dic3D3×C8semidirect
339. C3×Dic3C2×C3×C8semidirect
347. C33C8×D4semidirect
416. C3⋊C8C3×#67semidirect
489. C2×D3C3×D3×C8semidirect
519. Dic3C3×D3×C8semidirect
524. C32#4834semidirect
525. C32C8×#67semidirect
526. C32C3×C8×D4semidirect
589. C3#10590720direct (N × H)
590. C3C3×#4834semidirect
591. C3C3×C8×#67semidirect

Maximal subgroups

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

subgroupindex
C2×C32×D3×C82
C3×C4×#6262
C2×C3×#37102
C3×#636472
C32×Dic3⋊C82
C3×(C2×D3)⋊(C3⋊C8)2
C3×Dic3×C3⋊C82
C3×C8×#673
C3×#48343
#105907203