Finite Group Databasebeta

← C3×#10590717 #13157717

Subgroups — C3×#10590717 #13157717

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×#625C211yesmaximal, characteristic
3C2×C3×D3×C3⋊C8C211yesmaximal, characteristic, complemented
4C3×#63641C211yesmaximal, characteristic, complemented
5C32×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
6C3×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
7C3×#63553C211yesmaximal, characteristic, complemented
8C3×C8×#67—31nomaximal
9C3×#67⋊C8—31nomaximal
10#10590717C311yesmaximal, characteristic, direct product factor
11C2×C32×C4×D3C2211yescharacteristic
12C2×C32×C4×D3C2211yescharacteristic
13C2×C3×#625C411yescharacteristic
14C2×C33×C8C2211yescharacteristic
15C3×C4×C3⋊Dic3C2211yescharacteristic
16C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
17C2×C32×C3⋊C8C2211yescharacteristic
18C2×C32×C3⋊C8C2211yescharacteristic
19C32×D3×C8—22no—
20C3×#3724C411yescharacteristic
21C3×(C2×D3)⋊Dic3C411yescharacteristic
22C3×(C2×D3)⋊Dic3C411yescharacteristic
23C3×D3×C3⋊C8—22no—
24C22×C32×C8—31no—
25C3×C4×#67—31no—
26C3×C4×#67—31no—
27C22×C3×C3⋊C8—31no—
28C2×C3×D3×C8—21no—
29C2×C3×D3×C8—31no—
30C2×C3×D3×C8D311yescharacteristic, complemented
31C2×C3×D3×C8C2×C311yescharacteristic, complemented
32C4×#625C2×C311yescharacteristic
33C2×D3×C3⋊C8C2×C311yescharacteristic, complemented
34C32×C22⋊C8—31no—
35#63641C2×C311yescharacteristic, complemented
36C3×#830—31no—
37C3×(C2×D3)⋊C8—21no—
38C3×(C2×D3)⋊C8—31no—
39C3×(C2×D3)⋊C8D311yescharacteristic, complemented
40C3×(C2×D3)⋊C8C2×C311yescharacteristic, complemented
41C3×Dic3⋊C8—31no—
42C3×Dic3⋊C8—31no—
43C3×Dic3⋊C8—61no—
44C3×C8×Dic3—31no—
45C3×C8×Dic3—31no—
46(C2×D3)⋊(C3⋊C8)C2×C311yescharacteristic, complemented
47#63553C2×C311yescharacteristic, complemented
48C22×C32×D3C2×C411yescharacteristic
49C22×C32×D3C2×C411yescharacteristic
50C2×C33×C4C2311yescharacteristic
51C2×C3×C3⋊Dic3C2×C411yescharacteristic
52C2×C3×C3⋊Dic3C2×C411yescharacteristic
53C2×C32×Dic3C2×C411yescharacteristic
54C2×C32×Dic3C2×C411yescharacteristic
55C32×C4×D3—21no—
56C32×C4×D3—21no—
57C32×C4×D3—21no—
58C32×C4×D3—21no—
59C3×#625C814yescomplemented
60C33×C8—21no—
61C3×C3⋊(C3⋊C8)—21no—
62C32×C3⋊C8—21no—
63C32×C3⋊C8D412yescomplemented
64C3×C8×D4—91no—
65C8×#67—31no—
66#67⋊C8—31no—
67C22×C32×C4—31no—
68C22×C32×C4—31no—
69C2×C3×#67—31no—
70C2×C3×#67—31no—
71C2×C3×C4×D3—21no—
72C2×C3×C4×D3—21no—
73C2×C3×C4×D3C2×D311yescharacteristic
74C2×C3×C4×D3C2×D311yescharacteristic
75C2×C3×C4×D3C22×C311yescharacteristic
76C2×C3×C4×D3C22×C311yescharacteristic
77C2×#625C3×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
88C4×C3⋊Dic3C22×C311yescharacteristic
89C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
90C3×#217—31no—
91C3×#217—31no—
92C3×(C2×D3)⋊C4—31no—
93C3×(C2×D3)⋊C4—31no—
94C3×Dic3⋊C4—31no—
95C3×Dic3⋊C4—31no—
96C3×C4×Dic3—31no—
97C3×C4×Dic3—31no—
98C3×C4×Dic3—61no—
99C2×C3×C3⋊C8—21no—
100C2×C3×C3⋊C8—21no—
101C2×C3×C3⋊C8—31no—
102C2×C3×C3⋊C8—31no—
103C2×C3×C3⋊C8—62no—
104C2×C3×C3⋊C8—61no—
105C2×C3×C3⋊C8C2×D311yescharacteristic
106C2×C3×C3⋊C8C2×D311yescharacteristic
107C2×C3×C3⋊C8C22×C311yescharacteristic
108C2×C3×C3⋊C8C22×C311yescharacteristic
109C3×D3×C8—24no—
110C3×D3×C8—22no—
111C3×D3×C8—22no—
112C3×D3×C8—62no—
113#3724C3×C411yescharacteristic
114(C2×D3)⋊Dic3C3×C411yescharacteristic
115(C2×D3)⋊Dic3C3×C411yescharacteristic
116D3×C3⋊C8—22no—
117C22×C33C22×C411yescharacteristic
118C2×C32×D3—21no—
119C2×C32×D3—21no—
120C2×C32×D3—21no—
121C2×C32×D3—21no—
122C2×C32×D3C2×C812yescomplemented
123C2×C32×D3C2×C812yescomplemented
124C33×C4C2×D411yescharacteristic
125C33×C4#4111yescharacteristic
126C3×C3⋊Dic3—21no—
127C3×C3⋊Dic3C2×C812yescomplemented
128C32×Dic3—21no—
129C32×Dic3—21no—
130C22×C3×C8—31no—
131C22×C3×C8—31no—
132C22×C3×C8—61no—
133C22×C3×C8—91no—
134C3×C4×D4—91no—
135C4×#67—31no—
136C4×#67—31no—
137C22×C3⋊C8—31no—
138C2×D3×C8—31no—
139C2×D3×C8C3×D311yescharacteristic, complemented
140C3×C4⋊C8—91no—
141C3×C22⋊C8—31no—
142C3×C22⋊C8—31no—
143C3×C22⋊C8—61no—
144C3×C22⋊C8—91no—
145C3×C4×C8—91no—
146#830—31no—
147(C2×D3)⋊C8—31no—
148(C2×D3)⋊C8C3×D311yescharacteristic, complemented
149Dic3⋊C8—31no—
150Dic3⋊C8—31no—
151Dic3⋊C8—61no—
152C8×Dic3—31no—
153C8×Dic3—31no—
154C23×C32—31no—
155C23×C32—31no—
156C22×C3×D3—21no—
157C22×C3×D3—21no—
158C22×C3×D3C4×D311yescharacteristic
159C22×C3×D3C4×D311yescharacteristic
160C22×C3×D3C2×C3×C411yescharacteristic
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—41no—
168C2×C32×C4—61no—
169C2×C32×C4—61no—
170C2×C32×C4—61no—
171C2×C32×C4—61no—
172C2×C32×C4C22×D311yescharacteristic
173C2×C32×C4C22×D311yescharacteristic
174C2×C32×C4C23×C311yescharacteristic
175C2×C3⋊Dic3C2×C3×C411yescharacteristic
176C2×C3⋊Dic3C2×C3×C411yescharacteristic
177C3×#67—34no—
178C3×#67—34no—
179C2×C3×Dic3—21no—
180C2×C3×Dic3—21no—
181C2×C3×Dic3—31no—
182C2×C3×Dic3—31no—
183C2×C3×Dic3—31no—
184C2×C3×Dic3—31no—
185C2×C3×Dic3—61no—
186C2×C3×Dic3—61no—
187C2×C3×Dic3C4×D311yescharacteristic
188C2×C3×Dic3C4×D311yescharacteristic
189C2×C3×Dic3C2×C3×C411yescharacteristic
190C2×C3×Dic3C2×C3×C411yescharacteristic
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—21no—
198C3×C4×D3—21no—
199C3×C4×D3—21no—
200C3×C4×D3—21no—
201C3×C4×D3—41no—
202C3×C4×D3—41no—
203#625C3×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
227C32×D3—22no—
228C32×D3—22no—
229C2×C3×D4—91no—
230C22×C3×C4—31no—
231C22×C3×C4—31no—
232C22×C3×C4—31no—
233C22×C3×C4—31no—
234C22×C3×C4—61no—
235C22×C3×C4—61no—
236C2×#67—31no—
237C2×#67—31no—
238C2×C4×D3C2×C3×D311yescharacteristic
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—91no—
262#217—31no—
263#217—31no—
264(C2×D3)⋊C4—31no—
265(C2×D3)⋊C4—31no—
266Dic3⋊C4—31no—
267Dic3⋊C4—31no—
268C4×Dic3—31no—
269C4×Dic3—31no—
270C4×Dic3—61no—
271C2×C3⋊C8—31no—
272C2×C3⋊C8—31no—
273C2×C3⋊C8—61no—
274C2×C3⋊C8—62no—
275C2×C3⋊C8C2×C3×D311yescharacteristic
276C2×C3⋊C8C2×C3×D311yescharacteristic
277D3×C8—22no—
278D3×C8—62no—
279C22×C32—21no—
280C22×C32—21no—
281C22×C32—21no—
282C22×C32—32no—
283C22×C32—32no—
284C22×C32—41no—
285C22×C32—61no—
286C22×C32—61no—
287C22×C32—61no—
288C22×C32—61no—
289C22×C32C2×C4×D311yescharacteristic
290C22×C32C2×C4×D311yescharacteristic
291C22×C32C22×C3×C411yescharacteristic
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—21no—
299C2×C3×D3—21no—
300C2×C3×D3—21no—
301C2×C3×D3—21no—
302C2×C3×D3—22no—
303C2×C3×D3—22no—
304C2×C3×D3—41no—
305C2×C3×D3—41no—
306C2×C3×D3D3×C812yescomplemented
307C2×C3×D3D3×C812yescomplemented
308C2×C3×D3C2×C3×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—41no—
317C32×C4—41no—
318C32×C4—61no—
319C32×C4—61no—
320C32×C4#23511yescharacteristic
321C32×C4D3×D411yescharacteristic
322C32×C4#23711yescharacteristic
323C32×C4C2×#6711yescharacteristic
324C32×C4C2×C3×D411yescharacteristic
325C32×C4C3×#4111yescharacteristic
326C3⋊Dic3—21no—
327C3⋊Dic3C2×C3×C812yescomplemented
328C3×Dic3—22no—
329C3×Dic3—21no—
330C3×Dic3—21no—
331C3×Dic3—21no—
332C3×Dic3—21no—
333C3×Dic3—32no—
334C3×Dic3—32no—
335C3×Dic3—41no—
336C3×Dic3—62no—
337C3×Dic3—61no—
338C3×Dic3—61no—
339C3×Dic3—121no—
340C22×C8—31no—
341C22×C8—91no—
342C4×D4—91no—
343C4⋊C8—91no—
344C22⋊C8—31no—
345C22⋊C8—91no—
346C4×C8—91no—
347C33C8×D411yescharacteristic, complemented, Sylow
348C23×C3—31no—
349C23×C3—31no—
350C23×C3—31no—
351C23×C3—31no—
352C23×C3—61no—
353C23×C3—61no—
354C22×D3C3×C4×D311yescharacteristic
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—41no—
365C2×C3×C4—61no—
366C2×C3×C4—61no—
367C2×C3×C4—62no—
368C2×C3×C4—62no—
369C2×C3×C4—61no—
370C2×C3×C4—61no—
371C2×C3×C4—61no—
372C2×C3×C4—61no—
373C2×C3×C4—61no—
374C2×C3×C4—61no—
375C2×C3×C4—61no—
376C2×C3×C4—61no—
377C2×C3×C4—91no—
378C2×C3×C4—91no—
379C2×C3×C4—121no—
380C2×C3×C4—121no—
381C2×C3×C4C2×D3211yescharacteristic
382C2×C3×C4C22×C3×D311yescharacteristic
383C2×C3×C4C22×C3×D311yescharacteristic
384#67—34no—
385#67—34no—
386C2×Dic3—31no—
387C2×Dic3—31no—
388C2×Dic3—31no—
389C2×Dic3—31no—
390C2×Dic3—61no—
391C2×Dic3—61no—
392C2×Dic3C3×C4×D311yescharacteristic
393C2×Dic3C3×C4×D311yescharacteristic
394C4×D3—21no—
395C4×D3—21no—
396C4×D3—21no—
397C4×D3—21no—
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—62no—
431C2×C32#67⋊C411yescharacteristic
432C2×C32C2×D3×C811yescharacteristic
433C2×C32C2×D3×C811yescharacteristic
434C2×C32#90111yescharacteristic
435C2×C32#90711yescharacteristic
436C2×C32C4×#6711yescharacteristic
437C2×C32C3×C4×D411yescharacteristic
438C2×C32C22×C3×C811yescharacteristic
439C2×C32C3×#13111yescharacteristic
440C3×D3—24no—
441C3×D3—22no—
442C3×D3—22no—
443C3×D3—22no—
444C3×D3—22no—
445C3×D3—42no—
446C2×D4—91no—
447C22×C4—31no—
448C22×C4—31no—
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—91no—
459C22×C3—21no—
460C22×C3—21no—
461C22×C3—21no—
462C22×C3—32no—
463C22×C3—32no—
464C22×C3—32no—
465C22×C3—32no—
466C22×C3—41no—
467C22×C3—62no—
468C22×C3—62no—
469C22×C3—62no—
470C22×C3—62no—
471C22×C3—61no—
472C22×C3—61no—
473C22×C3—61no—
474C22×C3—61no—
475C22×C3—61no—
476C22×C3—61no—
477C22×C3—61no—
478C22×C3—61no—
479C22×C3—121no—
480C22×C3—121no—
481C22×C3C4×D3211yescharacteristic
482C22×C3C2×C3×C4×D311yescharacteristic
483C22×C3C2×C3×C4×D311yescharacteristic
484C2×D3—21no—
485C2×D3—21no—
486C2×D3—21no—
487C2×D3—21no—
488C2×D3C3×D3×C812yescomplemented
489C2×D3C3×D3×C812yescomplemented
490C3×C4—21no—
491C3×C4—21no—
492C3×C4—21no—
493C3×C4—21no—
494C3×C4—21no—
495C3×C4—21no—
496C3×C4—41no—
497C3×C4—41no—
498C3×C4—62no—
499C3×C4—61no—
500C3×C4—61no—
501C3×C4—61no—
502C3×C4—61no—
503C3×C4—92no—
504C3×C4—121no—
505C3×C4—181no—
506C3×C4#379511yescharacteristic
507C3×C4D3×#6711yescharacteristic
508C3×C4C3×#23511yescharacteristic
509C3×C4C3×D3×D411yescharacteristic
510C3×C4C3×#23711yescharacteristic
511C3×C4C2×C3×#6711yescharacteristic
512Dic3—21no—
513Dic3—21no—
514Dic3—32no—
515Dic3—32no—
516Dic3—62no—
517Dic3—61no—
518Dic3—61no—
519Dic3—121no—
520C32—21no—
521C32—21no—
522C32—21no—
523C32—41no—
524C32#67⋊C811yescharacteristic, complemented
525C32C8×#6711yescharacteristic, complemented
526C32C3×C8×D411yescharacteristic, complemented
527C23—31no—
528C23—31no—
529D4—94no—
530C2×C4—31no—
531C2×C4—31no—
532C2×C4—61no—
533C2×C4—61no—
534C2×C4—61no—
535C2×C4—61no—
536C2×C4—91no—
537C2×C4—91no—
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—62no—
559C2×C3—62no—
560C2×C3—122no—
561C2×C3D32×C811yescharacteristic
562C2×C3#6380411yescharacteristic
563C2×C3#6387911yescharacteristic
564C2×C3C3×#67⋊C411yescharacteristic
565C2×C3C2×C3×D3×C811yescharacteristic
566C2×C3C2×C3×D3×C811yescharacteristic
567C2×C3C3×#90111yescharacteristic
568C2×C3C3×#90711yescharacteristic
569C2×C3C3×C4×#6711yescharacteristic
570D3—22no—
571D3—22no—
572C22—32no—
573C22—32no—
574C22—61no—
575C22—61no—
576C22—61no—
577C22—61no—
578C22C3×C4×D3211yescharacteristic
579C4—61no—
580C4—61no—
581C4—92no—
582C4—181no—
583C4C3×#379511yescharacteristic
584C4C3×D3×#6711yescharacteristic
585C3—21no—
586C3—21no—
587C3—21no—
588C3—41no—
589C3#1059071711yescharacteristic, direct product factor
590C3C3×#67⋊C811yescharacteristic, complemented
591C3C3×C8×#6711yescharacteristic, complemented
592C2—62no—
593C2—62no—
594C2C3×D32×C811yescharacteristic
595C2C3×#6380411yescharacteristic
596C2C3×#6387911yescharacteristic
subgroupG/H
centerC2×C3×C4C2×D32
commutatorC2×C32C22×C3×C8
FrattiniC2×C4C2×C3×D32
FittingC2×C33×C8C22
socleC22×C33C22×C4
prime radicalC2×C3×#625C4
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×D3×C3⋊C8C2semidirect
4. C3×#63641C2semidirect
5. C32×(C2×D3)⋊C8C2semidirect
6. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
7. C3×#63553C2semidirect
10. #10590717C3direct (N × H)
30. C2×C3×D3×C8D3semidirect
31. C2×C3×D3×C8C2×C3semidirect
33. C2×D3×C3⋊C8C2×C3semidirect
35. #63641C2×C3semidirect
39. C3×(C2×D3)⋊C8D3semidirect
40. C3×(C2×D3)⋊C8C2×C3semidirect
46. (C2×D3)⋊(C3⋊C8)C2×C3semidirect
47. #63553C2×C3semidirect
59. C3×#625C8semidirect
63. C32×C3⋊C8D4semidirect
122. C2×C32×D3C2×C8semidirect
123. C2×C32×D3C2×C8semidirect
127. C3×C3⋊Dic3C2×C8semidirect
139. C2×D3×C8C3×D3semidirect
148. (C2×D3)⋊C8C3×D3semidirect
203. #625C3×C8semidirect
221. C3×C3⋊C8#67semidirect
222. C3×C3⋊C8C3×D4semidirect
306. C2×C3×D3D3×C8semidirect
307. C2×C3×D3D3×C8semidirect
308. C2×C3×D3C2×C3×C8semidirect
309. C2×C3×D3C2×C3×C8semidirect
327. C3⋊Dic3C2×C3×C8semidirect
347. C33C8×D4semidirect
416. C3⋊C8C3×#67semidirect
488. C2×D3C3×D3×C8semidirect
489. C2×D3C3×D3×C8semidirect
524. C32#67⋊C8semidirect
525. C32C8×#67semidirect
526. C32C3×C8×D4semidirect
589. C3#10590717direct (N × H)
590. C3C3×#67⋊C8semidirect
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×#6252
C2×C3×D3×C3⋊C82
C3×#636412
C32×(C2×D3)⋊C82
C3×(C2×D3)⋊(C3⋊C8)2
C3×#635532
C3×C8×#673
C3×#67⋊C83
#105907173