Finite Group Databasebeta

← C3×C8×#626 #13157719

Subgroups — C3×C8×#626 #13157719

Order 1728.

754 conjugacy classes of subgroups.

The subgroup lattice has 600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C8×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×C32×D3×C8C211yesmaximal, characteristic, complemented
3C3×C4×#626C211yesmaximal, characteristic
4C32×C8×Dic3C211yesmaximal, characteristic, complemented
5C3×Dic3⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
6C3×#63557C211yesmaximal, characteristic, complemented
7C3×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
8C3×C8×#67—31nomaximal
9C3×C8×D12—31nomaximal
10C8×#626C311yesmaximal, 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
16C3×C8×C3⋊D3—22no—
17C32×C4×Dic3C2211yescharacteristic
18C2×C32×C3⋊C8C2211yescharacteristic
19C2×C32×C3⋊C8C2211yescharacteristic
20C32×D3×C8—22no—
21C3×Dic3⋊Dic3C411yescharacteristic
22C3×#3722C411yescharacteristic
23C3×(C2×D3)⋊Dic3C411yescharacteristic
24C22×C32×C8—31no—
25C2×C8×C3⋊D3C2×C311yescharacteristic, complemented
26C3×C4×#67—31no—
27C2×C3×D3×C8—21no—
28C2×C3×D3×C8—31no—
29C2×C3×D3×C8—31no—
30C2×C3×D3×C8—61no—
31C2×C3×D3×C8D311yescharacteristic, complemented
32C2×C3×D3×C8C2×C311yescharacteristic, complemented
33C3×C4×D12—31no—
34C4×#626C2×C311yescharacteristic
35C32×C4×C8—31no—
36C3×#830—31no—
37C3×(C2×D3)⋊C8—31no—
38C3×(C2×D3)⋊C8—31no—
39C3×(C2×D3)⋊C8—31no—
40C3×Dic3⋊C8—31no—
41C3×C8×Dic3—21no—
42C3×C8×Dic3D311yescharacteristic, complemented
43C3×C8×Dic3C2×C311yescharacteristic, complemented
44C3×C4⋊(C3⋊C8)—31no—
45Dic3⋊(C3⋊C8)C2×C311yescharacteristic, complemented
46#63557C2×C311yescharacteristic, complemented
47(C2×D3)⋊(C3⋊C8)C2×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×#626C814yesdirect product factor
60C33×C8D412yescomplemented
61C3×C3⋊(C3⋊C8)—21no—
62C32×C3⋊C8—21no—
63C32×C3⋊C8—21no—
64C3×C8×D4—91no—
65C8×#67—31no—
66C8×D12—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
90C8×C3⋊D3—22no—
91C3×#217—31no—
92C3×(C2×D3)⋊C4—31no—
93C3×(C2×D3)⋊C4—31no—
94C3×(C2×D3)⋊C4—31no—
95C3×C4⋊Dic3—31no—
96C3×Dic3⋊C4—31no—
97C3×C4×Dic3—21no—
98C3×C4×Dic3C2×D311yescharacteristic
99C3×C4×Dic3C22×C311yescharacteristic
100C2×C3×C3⋊C8—21no—
101C2×C3×C3⋊C8—21no—
102C2×C3×C3⋊C8—31no—
103C2×C3×C3⋊C8—31no—
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—64no—
113C3×D3×C8—62no—
114C3×D3×C8—62no—
115Dic3⋊Dic3C3×C411yescharacteristic
116#3722C3×C411yescharacteristic
117(C2×D3)⋊Dic3C3×C411yescharacteristic
118C22×C33C22×C411yescharacteristic
119C2×C3×C3⋊D3—21no—
120C2×C3×C3⋊D3—21no—
121C2×C3×C3⋊D3C2×C812yescomplemented
122C2×C32×D3—21no—
123C2×C32×D3—21no—
124C2×C32×D3C2×C812yescomplemented
125C33×C4C2×D411yescharacteristic
126C33×C4#4111yescharacteristic
127C3×C3⋊Dic3—21no—
128C32×Dic3—21no—
129C32×Dic3—21no—
130C32×Dic3C2×C812yescomplemented
131C22×C3×C8—31no—
132C22×C3×C8—31no—
133C22×C3×C8—61no—
134C22×C3×C8—91no—
135C3×C4×D4—91no—
136C4×#67—31no—
137C2×D3×C8—31no—
138C2×D3×C8—31no—
139C2×D3×C8—61no—
140C2×D3×C8C3×D311yescharacteristic, complemented
141C4×D12—31no—
142C3×C4⋊C8—91no—
143C3×C22⋊C8—91no—
144C3×C22⋊C8—91no—
145C3×C4×C8—31no—
146C3×C4×C8—31no—
147C3×C4×C8—61no—
148#830—31no—
149(C2×D3)⋊C8—31no—
150(C2×D3)⋊C8—31no—
151(C2×D3)⋊C8—31no—
152Dic3⋊C8—31no—
153C8×Dic3C3×D311yescharacteristic, complemented
154C4⋊(C3⋊C8)—31no—
155C23×C32—31no—
156C22×C3⋊D3C2×C3×C411yescharacteristic
157C22×C3×D3—21no—
158C22×C3×D3—31no—
159C22×C3×D3—31no—
160C22×C3×D3—61no—
161C22×C3×D3C4×D311yescharacteristic
162C22×C3×D3C2×C3×C411yescharacteristic
163C2×C32×C4—21no—
164C2×C32×C4—21no—
165C2×C32×C4—21no—
166C2×C32×C4—31no—
167C2×C32×C4—31no—
168C2×C32×C4—31no—
169C2×C32×C4—41no—
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
176C4×C3⋊D3—21no—
177C4×C3⋊D3—21no—
178C3×#67—34no—
179C2×C3×Dic3—21no—
180C2×C3×Dic3—21no—
181C2×C3×Dic3—21no—
182C2×C3×Dic3—31no—
183C2×C3×Dic3—31no—
184C2×C3×Dic3—61no—
185C2×C3×Dic3C4×D311yescharacteristic
186C2×C3×Dic3C4×D311yescharacteristic
187C2×C3×Dic3C4×D311yescharacteristic
188C2×C3×Dic3C2×C3×C411yescharacteristic
189C2×C3×Dic3C2×C3×C411yescharacteristic
190C2×C3×Dic3C2×C3×C411yescharacteristic
191C3×D12—34no—
192C3×C4×D3—22no—
193C3×C4×D3—22no—
194C3×C4×D3—21no—
195C3×C4×D3—21no—
196C3×C4×D3—21no—
197C3×C4×D3—21no—
198C3×C4×D3—62no—
199C3×C4×D3—62no—
200C3×C4×D3—61no—
201C3×C4×D3—61no—
202C3×C4×D3—61no—
203C3×C4×D3—61no—
204#626C3×C814yesdirect product factor
205C32×C8—22no—
206C32×C8—22no—
207C32×C8—22no—
208C32×C8—42no—
209C32×C8—61no—
210C32×C8—61no—
211C32×C8D1212yescomplemented
212C32×C8#6712yescomplemented
213C32×C8C3×D412yescomplemented
214C3⋊(C3⋊C8)—21no—
215C3×C3⋊C8—22no—
216C3×C3⋊C8—22no—
217C3×C3⋊C8—21no—
218C3×C3⋊C8—21no—
219C3×C3⋊C8—21no—
220C3×C3⋊C8—21no—
221C3×C3⋊C8—62no—
222C3×C3⋊C8—61no—
223C3×C3⋊C8—61no—
224C8×D4—91noSylow
225C2×C33C4×D411yescharacteristic
226C2×C33C22×C811yescharacteristic
227C2×C33#13111yescharacteristic
228C3×C3⋊D3—22no—
229C32×D3—22no—
230C2×C3×D4—91no—
231C22×C3×C4—31no—
232C22×C3×C4—31no—
233C22×C3×C4—61no—
234C22×C3×C4—91no—
235C2×#67—31no—
236C2×D12—31no—
237C2×C4×D3—31no—
238C2×C4×D3—31no—
239C2×C4×D3—61no—
240C2×C4×D3C2×C3×D311yescharacteristic
241C2×C3×C8—21no—
242C2×C3×C8—21no—
243C2×C3×C8—21no—
244C2×C3×C8—31no—
245C2×C3×C8—31no—
246C2×C3×C8—31no—
247C2×C3×C8—31no—
248C2×C3×C8—41no—
249C2×C3×C8—61no—
250C2×C3×C8—61no—
251C2×C3×C8—64no—
252C2×C3×C8—62no—
253C2×C3×C8—62no—
254C2×C3×C8—91no—
255C2×C3×C8—182no—
256C2×C3×C8D3211yescharacteristic
257C2×C3×C8C2×C3×D311yescharacteristic
258C2×C3×C8C2×C3×D311yescharacteristic
259C3×C4⋊C4—91no—
260C3×C22⋊C4—91no—
261C3×C22⋊C4—91no—
262C3×C42—31no—
263C3×C42—31no—
264C3×C42—61no—
265#217—31no—
266(C2×D3)⋊C4—31no—
267(C2×D3)⋊C4—31no—
268(C2×D3)⋊C4—31no—
269C4⋊Dic3—31no—
270Dic3⋊C4—31no—
271C4×Dic3C2×C3×D311yescharacteristic
272C2×C3⋊C8—31no—
273C2×C3⋊C8—31no—
274C2×C3⋊C8—61no—
275C2×C3⋊C8C2×C3×D311yescharacteristic
276C2×C3⋊C8C2×C3×D311yescharacteristic
277D3×C8—22no—
278D3×C8—64no—
279D3×C8—62no—
280D3×C8—62no—
281C22×C32—21no—
282C22×C32—21no—
283C22×C32—21no—
284C22×C32—32no—
285C22×C32—41no—
286C22×C32—61no—
287C22×C32—61no—
288C22×C32C2×C4×D311yescharacteristic
289C22×C32C2×C4×D311yescharacteristic
290C22×C32C22×C3×C411yescharacteristic
291C2×C3⋊D3—21no—
292C2×C3⋊D3—21no—
293C2×C3⋊D3C2×C3×C812yescomplemented
294C2×C3×D3—22no—
295C2×C3×D3—22no—
296C2×C3×D3—21no—
297C2×C3×D3—21no—
298C2×C3×D3—21no—
299C2×C3×D3—21no—
300C2×C3×D3—22no—
301C2×C3×D3—32no—
302C2×C3×D3—32no—
303C2×C3×D3—62no—
304C2×C3×D3—62no—
305C2×C3×D3—62no—
306C2×C3×D3—61no—
307C2×C3×D3—61no—
308C2×C3×D3—61no—
309C2×C3×D3—61no—
310C2×C3×D3D3×C812yescomplemented
311C2×C3×D3C2×C3×C812yescomplemented
312C32×C4—21no—
313C32×C4—21no—
314C32×C4—21no—
315C32×C4—21no—
316C32×C4—21no—
317C32×C4—21no—
318C32×C4—32no—
319C32×C4—41no—
320C32×C4—41no—
321C32×C4—61no—
322C32×C4—61no—
323C32×C4C2×D1211yescharacteristic
324C32×C4#23511yescharacteristic
325C32×C4#23511yescharacteristic
326C32×C4C2×#6711yescharacteristic
327C32×C4C2×C3×D411yescharacteristic
328C32×C4C3×#4111yescharacteristic
329C3⋊Dic3—21no—
330C3×Dic3—22no—
331C3×Dic3—22no—
332C3×Dic3—21no—
333C3×Dic3—21no—
334C3×Dic3—21no—
335C3×Dic3—21no—
336C3×Dic3—22no—
337C3×Dic3—62no—
338C3×Dic3—61no—
339C3×Dic3—61no—
340C3×Dic3D3×C812yescomplemented
341C3×Dic3C2×C3×C812yescomplemented
342C22×C8—31no—
343C22×C8—91no—
344C4×D4—91no—
345C4⋊C8—91no—
346C22⋊C8—91no—
347C22⋊C8—91no—
348C4×C8—31no—
349C33C8×D411yescharacteristic, complemented, Sylow
350C23×C3—31no—
351C23×C3—31no—
352C23×C3—61no—
353C23×C3—91no—
354C22×D3—31no—
355C22×D3—31no—
356C22×D3—61no—
357C22×D3C3×C4×D311yescharacteristic
358C3×D4—94no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—31no—
363C2×C3×C4—31no—
364C2×C3×C4—31no—
365C2×C3×C4—31no—
366C2×C3×C4—31no—
367C2×C3×C4—31no—
368C2×C3×C4—41no—
369C2×C3×C4—61no—
370C2×C3×C4—61no—
371C2×C3×C4—61no—
372C2×C3×C4—62no—
373C2×C3×C4—62no—
374C2×C3×C4—61no—
375C2×C3×C4—61no—
376C2×C3×C4—61no—
377C2×C3×C4—61no—
378C2×C3×C4—91no—
379C2×C3×C4—181no—
380C2×C3×C4—181no—
381C2×C3×C4C2×D3211yescharacteristic
382C2×C3×C4C22×C3×D311yescharacteristic
383C2×C3×C4C22×C3×D311yescharacteristic
384#67—34no—
385C2×Dic3—31no—
386C2×Dic3—31no—
387C2×Dic3—61no—
388C2×Dic3C3×C4×D311yescharacteristic
389C2×Dic3C3×C4×D311yescharacteristic
390C2×Dic3C3×C4×D311yescharacteristic
391D12—34no—
392C4×D3—21no—
393C4×D3—21no—
394C4×D3—62no—
395C4×D3—62no—
396C4×D3—61no—
397C4×D3—61no—
398C4×D3—61no—
399C4×D3—61no—
400C3×C8—22no—
401C3×C8—22no—
402C3×C8—22no—
403C3×C8—42no—
404C3×C8—62no—
405C3×C8—62no—
406C3×C8—61no—
407C3×C8—61no—
408C3×C8—61no—
409C3×C8—61no—
410C3×C8—181no—
411C3×C8#62612yesdirect product factor
412C3×C8C3×D1212yescomplemented
413C3×C8C3×#6712yescomplemented
414C3⋊C8—21no—
415C3⋊C8—21no—
416C3⋊C8—62no—
417C3⋊C8—61no—
418C3⋊C8—61no—
419C2×C32—21no—
420C2×C32—21no—
421C2×C32—21no—
422C2×C32—21no—
423C2×C32—21no—
424C2×C32—21no—
425C2×C32—21no—
426C2×C32—21no—
427C2×C32—21no—
428C2×C32—41no—
429C2×C32—41no—
430C2×C32—41no—
431C2×C32—62no—
432C2×C32C4×D1211yescharacteristic
433C2×C32C2×D3×C811yescharacteristic
434C2×C32C2×D3×C811yescharacteristic
435C2×C32#90111yescharacteristic
436C2×C32#90111yescharacteristic
437C2×C32C4×#6711yescharacteristic
438C2×C32C3×C4×D411yescharacteristic
439C2×C32C22×C3×C811yescharacteristic
440C2×C32C3×#13111yescharacteristic
441C3⋊D3—22no—
442C3×D3—24no—
443C3×D3—22no—
444C3×D3—22no—
445C3×D3—64no—
446C3×D3—62no—
447C3×D3—62no—
448C2×D4—91no—
449C22×C4—31no—
450C22×C4—91no—
451C2×C8—31no—
452C2×C8—31no—
453C2×C8—62no—
454C2×C8—91no—
455C2×C8—182no—
456C2×C8C3×D3211yescharacteristic
457C4⋊C4—91no—
458C22⋊C4—91no—
459C22⋊C4—91no—
460C42—31no—
461C22×C3—21no—
462C22×C3—21no—
463C22×C3—21no—
464C22×C3—32no—
465C22×C3—32no—
466C22×C3—41no—
467C22×C3—62no—
468C22×C3—62no—
469C22×C3—62no—
470C22×C3—61no—
471C22×C3—61no—
472C22×C3—61no—
473C22×C3—61no—
474C22×C3—92no—
475C22×C3—181no—
476C22×C3—181no—
477C22×C3C4×D3211yescharacteristic
478C22×C3C2×C3×C4×D311yescharacteristic
479C22×C3C2×C3×C4×D311yescharacteristic
480C2×D3—21no—
481C2×D3—21no—
482C2×D3—32no—
483C2×D3—32no—
484C2×D3—62no—
485C2×D3—62no—
486C2×D3—62no—
487C2×D3—61no—
488C2×D3—61no—
489C2×D3—61no—
490C2×D3—61no—
491C2×D3C3×D3×C812yescomplemented
492C3×C4—21no—
493C3×C4—21no—
494C3×C4—21no—
495C3×C4—21no—
496C3×C4—21no—
497C3×C4—21no—
498C3×C4—32no—
499C3×C4—32no—
500C3×C4—41no—
501C3×C4—41no—
502C3×C4—62no—
503C3×C4—62no—
504C3×C4—62no—
505C3×C4—61no—
506C3×C4—61no—
507C3×C4—61no—
508C3×C4—61no—
509C3×C4—181no—
510C3×C4#379811yescharacteristic
511C3×C4C2×#62611yescharacteristic
512C3×C4C2×C3×D1211yescharacteristic
513C3×C4C3×#23511yescharacteristic
514C3×C4C3×#23511yescharacteristic
515C3×C4C2×C3×#6711yescharacteristic
516Dic3—21no—
517Dic3—21no—
518Dic3—62no—
519Dic3—61no—
520Dic3—61no—
521Dic3C3×D3×C812yescomplemented
522C32—21no—
523C32—21no—
524C32—21no—
525C32—41no—
526C32C8×D1211yescharacteristic, complemented
527C32C8×#6711yescharacteristic, complemented
528C32C3×C8×D411yescharacteristic, complemented
529C23—31no—
530C23—91no—
531D4—94no—
532C2×C4—31no—
533C2×C4—31no—
534C2×C4—31no—
535C2×C4—61no—
536C2×C4—61no—
537C2×C4—91no—
538C2×C4—181no—
539C2×C4—181no—
540C2×C4C2×C3×D3211yescharacteristic
541C8—61no—
542C8—61no—
543C8—181no—
544C8C3×#62612yesdirect product factor
545C2×C3—21no—
546C2×C3—21no—
547C2×C3—21no—
548C2×C3—21no—
549C2×C3—21no—
550C2×C3—21no—
551C2×C3—21no—
552C2×C3—21no—
553C2×C3—21no—
554C2×C3—41no—
555C2×C3—41no—
556C2×C3—41no—
557C2×C3—64no—
558C2×C3—62no—
559C2×C3—62no—
560C2×C3—182no—
561C2×C3D32×C811yescharacteristic
562C2×C3#6380311yescharacteristic
563C2×C3C4×#62611yescharacteristic
564C2×C3C3×C4×D1211yescharacteristic
565C2×C3C2×C3×D3×C811yescharacteristic
566C2×C3C2×C3×D3×C811yescharacteristic
567C2×C3C3×#90111yescharacteristic
568C2×C3C3×#90111yescharacteristic
569C2×C3C3×C4×#6711yescharacteristic
570D3—22no—
571D3—64no—
572D3—62no—
573D3—62no—
574C22—32no—
575C22—61no—
576C22—61no—
577C22—92no—
578C22—181no—
579C22—181no—
580C22C3×C4×D3211yescharacteristic
581C4—32no—
582C4—61no—
583C4—61no—
584C4—181no—
585C4C3×#379811yescharacteristic
586C4C2×C3×#62611yescharacteristic
587C3—21no—
588C3—21no—
589C3—21no—
590C3—41no—
591C3C8×#62611yescharacteristic, direct product factor
592C3C3×C8×D1211yescharacteristic, complemented
593C3C3×C8×#6711yescharacteristic, complemented
594C2—62no—
595C2—182no—
596C2C3×D32×C811yescharacteristic
597C2C3×#6380311yescharacteristic
598C2C3×C4×#62611yescharacteristic
subgroupG/H
center, hypercenterC2×C3×C8D32
commutatorC2×C32C22×C3×C8
FrattiniC2×C4C2×C3×D32
FittingC2×C33×C8C22
socleC22×C33C22×C4
prime radicalC2×C3×#626C4
cosocleC2×C32×C4C23×C3
hypocenterC32C3×C8×D4
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C3×C8

Complements

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

NH ≅ G/Ntype
1. C2×C3×C8×C3⋊D3C2semidirect
2. C2×C32×D3×C8C2semidirect
4. C32×C8×Dic3C2semidirect
5. C3×Dic3⋊(C3⋊C8)C2semidirect
6. C3×#63557C2semidirect
7. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
10. C8×#626C3direct (N × H)
25. C2×C8×C3⋊D3C2×C3semidirect
31. C2×C3×D3×C8D3semidirect
32. C2×C3×D3×C8C2×C3semidirect
42. C3×C8×Dic3D3semidirect
43. C3×C8×Dic3C2×C3semidirect
45. Dic3⋊(C3⋊C8)C2×C3semidirect
46. #63557C2×C3semidirect
47. (C2×D3)⋊(C3⋊C8)C2×C3semidirect
59. C3×#626C8direct (N × H)
60. C33×C8D4semidirect
121. C2×C3×C3⋊D3C2×C8semidirect
124. C2×C32×D3C2×C8semidirect
130. C32×Dic3C2×C8semidirect
140. C2×D3×C8C3×D3semidirect
153. C8×Dic3C3×D3semidirect
204. #626C3×C8direct (N × H)
211. C32×C8D12semidirect
212. C32×C8#67semidirect
213. C32×C8C3×D4semidirect
293. C2×C3⋊D3C2×C3×C8semidirect
310. C2×C3×D3D3×C8semidirect
311. C2×C3×D3C2×C3×C8semidirect
340. C3×Dic3D3×C8semidirect
341. C3×Dic3C2×C3×C8semidirect
349. C33C8×D4semidirect
411. C3×C8#626direct (N × H)
412. C3×C8C3×D12semidirect
413. C3×C8C3×#67semidirect
491. C2×D3C3×D3×C8semidirect
521. Dic3C3×D3×C8semidirect
526. C32C8×D12semidirect
527. C32C8×#67semidirect
528. C32C3×C8×D4semidirect
544. C8C3×#626direct (N × H)
591. C3C8×#626direct (N × H)
592. C3C3×C8×D12semidirect
593. C3C3×C8×#67semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C8×C3⋊D32
C2×C32×D3×C82
C3×C4×#6262
C32×C8×Dic32
C3×Dic3⋊(C3⋊C8)2
C3×#635572
C3×(C2×D3)⋊(C3⋊C8)2
C3×C8×#673
C3×C8×D123
C8×#6263