Finite Group Databasebeta

← C2×C3×(C2×D3)⋊(C3⋊C8) #13158094

Subgroups — C2×C3×(C2×D3)⋊(C3⋊C8) #13158094

Order 1728.

1250 conjugacy classes of subgroups.

The subgroup lattice has 604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×C4×D3C211yesmaximal, characteristic
2C22×C3×C3⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
3C22×C32×C3⋊C8C211yesmaximal, characteristic, complemented
4C3×(C2×D3)⋊(C3⋊C8)C214yesmaximal, direct product factor
5C2×C3×#830—31nomaximal
6C2×C3×(C2×D3)⋊C8—31nomaximal
7C2×(C2×D3)⋊(C3⋊C8)C311yesmaximal, characteristic, direct product factor
8C23×C32×D3C411yescharacteristic
9C22×C33×C4C2211yescharacteristic
10C22×C32×Dic3C411yescharacteristic
11C2×C32×C4×D3—22no—
12C2×C32×C4×D3—22no—
13C2×C32×C4×D3C412yes—
14C2×C32×C4×D3C2212yes—
15C2×C3×C3⋊(C3⋊C8)—22no—
16C2×C3×C3⋊(C3⋊C8)C2212yescomplemented
17C2×C32×C3⋊C8—22no—
18C2×C32×C3⋊C8C2212yescomplemented
19C23×C32×C4—31no—
20C22×C3×C4×D3—21no—
21C22×C3×C4×D3D311yescharacteristic
22C22×C3×C4×D3C2×C311yescharacteristic
23C22×C32×C8—31no—
24C22×C3⋊(C3⋊C8)C2×C311yescharacteristic, complemented
25C22×C3×C3⋊C8—21no—
26C22×C3×C3⋊C8—31no—
27C22×C3×C3⋊C8—31no—
28C22×C3×C3⋊C8—61no—
29C22×C3×C3⋊C8D311yescharacteristic, complemented
30C22×C3×C3⋊C8C2×C311yescharacteristic, complemented
31C3×#830—34no—
32C3×(C2×D3)⋊C8—34no—
33(C2×D3)⋊(C3⋊C8)C2×C314yesdirect product factor
34C23×C33C2×C411yescharacteristic
35C22×C32×D3—22no—
36C22×C32×D3—22no—
37C22×C32×D3C814yescomplemented
38C22×C32×D3C2×C412yes—
39C2×C33×C4C2×C411yescharacteristic
40C2×C33×C4D412yes—
41C2×C33×C4D412yes—
42C2×C33×C4C2311yescharacteristic
43C2×C32×Dic3—22no—
44C2×C32×Dic3C2×C412yes—
45C32×C4×D3—24no—
46C32×C4×D3—22no—
47C32×C4×D3—22no—
48C3×C3⋊(C3⋊C8)—22no—
49C32×C3⋊C8—22no—
50C2×C3×C22⋊C8—91no—
51C2×#830—31no—
52C2×(C2×D3)⋊C8—31no—
53C24×C32—31no—
54C23×C3×D3—21no—
55C23×C3×D3Dic311yescharacteristic
56C23×C3×D3C3×C411yescharacteristic
57C22×C32×C4—21no—
58C22×C32×C4—21no—
59C22×C32×C4—21no—
60C22×C32×C4—31no—
61C22×C32×C4—32no—
62C22×C32×C4—32no—
63C22×C32×C4—41no—
64C22×C32×C4—62no—
65C22×C32×C4—62no—
66C22×C32×C4C2×D311yescharacteristic
67C22×C32×C4C2×D311yescharacteristic
68C22×C32×C4C22×C311yescharacteristic
69C22×C3×Dic3—21no—
70C22×C3×Dic3Dic311yescharacteristic
71C22×C3×Dic3C3×C411yescharacteristic
72C2×C3×C4×D3—24no—
73C2×C3×C4×D3—24no—
74C2×C3×C4×D3—22no—
75C2×C3×C4×D3—22no—
76C2×C3×C4×D3—22no—
77C2×C3×C4×D3—22no—
78C2×C3×C4×D3—22no—
79C2×C3×C4×D3—22no—
80C2×C3×C4×D3Dic312yes—
81C2×C3×C4×D3C3×C412yes—
82C2×C3×C4×D3C2×D312yes—
83C2×C3×C4×D3C22×C312yes—
84C2×C32×C8—32no—
85C2×C32×C8—62no—
86C2×C3⋊(C3⋊C8)—22no—
87C2×C3⋊(C3⋊C8)C22×C312yescomplemented
88C2×C3×C3⋊C8—24no—
89C2×C3×C3⋊C8—22no—
90C2×C3×C3⋊C8—22no—
91C2×C3×C3⋊C8—22no—
92C2×C3×C3⋊C8—32no—
93C2×C3×C3⋊C8—32no—
94C2×C3×C3⋊C8—62no—
95C2×C3×C3⋊C8—64no—
96C2×C3×C3⋊C8—62no—
97C2×C3×C3⋊C8—62no—
98C2×C3×C3⋊C8C2×D312yescomplemented
99C2×C3×C3⋊C8C22×C312yescomplemented
100C22×C33C22⋊C412yes—
101C22×C33C2×C812yes—
102C22×C33M1612yes—
103C22×C33C22×C411yescharacteristic
104C2×C32×D3—28no—
105C2×C32×D3—22no—
106C2×C32×D3—22no—
107C2×C32×D3C2×C814yescomplemented
108C33×C4C22⋊C412yes—
109C33×C4C2×D411yescharacteristic
110C33×C4C2×D411yescharacteristic
111C32×Dic3—22no—
112C23×C3×C4—31no—
113C23×C3×C4—31no—
114C23×C3×C4—61no—
115C22×C4×D3C3×D311yescharacteristic
116C22×C3×C8—31no—
117C22×C3×C8—31no—
118C22×C3×C8—61no—
119C22×C3×C8—91no—
120C22×C3⋊C8—31no—
121C22×C3⋊C8—31no—
122C22×C3⋊C8—61no—
123C22×C3⋊C8C3×D311yescharacteristic, complemented
124C3×C22⋊C8—94no—
125#830—34no—
126(C2×D3)⋊C8—34no—
127C23×C32—21no—
128C23×C32—21no—
129C23×C32—21no—
130C23×C32—34no—
131C23×C32—32no—
132C23×C32—41no—
133C23×C32—62no—
134C23×C32—62no—
135C23×C32C4×D311yescharacteristic
136C23×C32C2×Dic311yescharacteristic
137C23×C32C2×C3×C411yescharacteristic
138C22×C3×D3—24no—
139C22×C3×D3—24no—
140C22×C3×D3—22no—
141C22×C3×D3—22no—
142C22×C3×D3—22no—
143C22×C3×D3—22no—
144C22×C3×D3—24no—
145C22×C3×D3—22no—
146C22×C3×D3C3⋊C814yescomplemented
147C22×C3×D3C3×C814yescomplemented
148C22×C3×D3C2×Dic312yes—
149C22×C3×D3C2×C3×C412yes—
150C2×C32×C4—21no—
151C2×C32×C4—22no—
152C2×C32×C4—22no—
153C2×C32×C4—21no—
154C2×C32×C4—22no—
155C2×C32×C4—21no—
156C2×C32×C4—22no—
157C2×C32×C4—22no—
158C2×C32×C4—22no—
159C2×C32×C4—21no—
160C2×C32×C4—21no—
161C2×C32×C4—21no—
162C2×C32×C4—32no—
163C2×C32×C4—41no—
164C2×C32×C4—42no—
165C2×C32×C4—42no—
166C2×C32×C4—41no—
167C2×C32×C4—62no—
168C2×C32×C4—64no—
169C2×C32×C4—62no—
170C2×C32×C4—62no—
171C2×C32×C4C4×D311yescharacteristic
172C2×C32×C4D1212yes—
173C2×C32×C4C2×Dic311yescharacteristic
174C2×C32×C4#6712yes—
175C2×C32×C4#6712yes—
176C2×C32×C4#6712yes—
177C2×C32×C4C2×C3×C411yescharacteristic
178C2×C32×C4C3×D412yes—
179C2×C32×C4C3×D412yes—
180C2×C32×C4C22×D311yescharacteristic
181C2×C32×C4C22×D311yescharacteristic
182C2×C32×C4C23×C311yescharacteristic
183C2×C3×Dic3—24no—
184C2×C3×Dic3—22no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3C2×Dic312yes—
188C2×C3×Dic3C2×C3×C412yes—
189C3×C4×D3—28no—
190C3×C4×D3—24no—
191C3×C4×D3—24no—
192C3×C4×D3—24no—
193C3×C4×D3—24no—
194C3×C4×D3—22no—
195C3×C4×D3—22no—
196C3×C4×D3—22no—
197C3×C4×D3—22no—
198C32×C8—62no—
199C3⋊(C3⋊C8)—22no—
200C3×C3⋊C8—24no—
201C3×C3⋊C8—22no—
202C3×C3⋊C8—22no—
203C3×C3⋊C8—64no—
204C3×C3⋊C8—62no—
205C3×C3⋊C8—62no—
206C2×C22⋊C8—91noSylow
207C2×C33C22⋊C814yescomplemented
208C2×C33C2×C22⋊C411yescharacteristic
209C2×C33C22×C811yescharacteristic
210C2×C33C2×M1611yescharacteristic
211C32×D3—24no—
212C24×C3—31no—
213C24×C3—31no—
214C24×C3—61no—
215C23×D3C3×Dic311yescharacteristic
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—31no—
220C22×C3×C4—31no—
221C22×C3×C4—32no—
222C22×C3×C4—32no—
223C22×C3×C4—32no—
224C22×C3×C4—32no—
225C22×C3×C4—41no—
226C22×C3×C4—62no—
227C22×C3×C4—62no—
228C22×C3×C4—61no—
229C22×C3×C4—64no—
230C22×C3×C4—64no—
231C22×C3×C4—62no—
232C22×C3×C4—62no—
233C22×C3×C4—62no—
234C22×C3×C4—62no—
235C22×C3×C4D3211yescharacteristic
236C22×C3×C4C2×C3×D311yescharacteristic
237C22×C3×C4C2×C3×D311yescharacteristic
238C22×Dic3C3×Dic311yescharacteristic
239C2×C4×D3—22no—
240C2×C4×D3—22no—
241C2×C4×D3C3×Dic312yes—
242C2×C4×D3C2×C3×D312yes—
243C2×C3×C8—32no—
244C2×C3×C8—32no—
245C2×C3×C8—62no—
246C2×C3×C8—64no—
247C2×C3×C8—62no—
248C2×C3×C8—62no—
249C2×C3×C8—92no—
250C2×C3×C8—182no—
251C2×C3⋊C8—22no—
252C2×C3⋊C8—32no—
253C2×C3⋊C8—32no—
254C2×C3⋊C8—62no—
255C2×C3⋊C8—64no—
256C2×C3⋊C8—62no—
257C2×C3⋊C8—62no—
258C2×C3⋊C8C2×C3×D312yescomplemented
259C22×C32—22no—
260C22×C32—22no—
261C22×C32—22no—
262C22×C32—22no—
263C22×C32—22no—
264C22×C32—22no—
265C22×C32—22no—
266C22×C32—22no—
267C22×C32—22no—
268C22×C32—21no—
269C22×C32—21no—
270C22×C32—21no—
271C22×C32—34no—
272C22×C32—42no—
273C22×C32—42no—
274C22×C32—42no—
275C22×C32—41no—
276C22×C32—68no—
277C22×C32—62no—
278C22×C32—62no—
279C22×C32D3×C812yes—
280C22×C32ΓL(1,𝔽25)12yes—
281C22×C32C2×C3⋊C812yes—
282C22×C32#20812yes—
283C22×C32(C2×D3)⋊C412yes—
284C22×C32#21712yes—
285C22×C32C3×C22⋊C412yes—
286C22×C32C2×C3×C812yes—
287C22×C32C3×M1612yes—
288C22×C32C2×C4×D311yescharacteristic
289C22×C32C22×Dic311yescharacteristic
290C22×C32C22×C3×C411yescharacteristic
291C2×C3×D3—24no—
292C2×C3×D3—24no—
293C2×C3×D3—216no—
294C2×C3×D3—28no—
295C2×C3×D3—28no—
296C2×C3×D3—22no—
297C2×C3×D3—22no—
298C2×C3×D3—22no—
299C2×C3×D3—22no—
300C2×C3×D3—24no—
301C2×C3×D3C2×C3⋊C814yescomplemented
302C2×C3×D3C2×C3×C814yescomplemented
303C32×C4—22no—
304C32×C4—22no—
305C32×C4—22no—
306C32×C4—21no—
307C32×C4—21no—
308C32×C4—21no—
309C32×C4—21no—
310C32×C4—21no—
311C32×C4—21no—
312C32×C4—42no—
313C32×C4—41no—
314C32×C4—41no—
315C32×C4—62no—
316C32×C4(C2×D3)⋊C412yes—
317C32×C4#21712yes—
318C32×C4C3×C22⋊C412yes—
319C32×C4C2×D1211yescharacteristic
320C32×C4C2×#6711yescharacteristic
321C32×C4C2×#6711yescharacteristic
322C32×C4C2×#6711yescharacteristic
323C32×C4C2×C3×D411yescharacteristic
324C32×C4C2×C3×D411yescharacteristic
325C3×Dic3—24no—
326C3×Dic3—22no—
327C3×Dic3—22no—
328C23×C4—31no—
329C22×C8—31no—
330C22×C8—91no—
331C22⋊C8—94no—
332C33C2×C22⋊C811yescharacteristic, complemented, Sylow
333C23×C3—21no—
334C23×C3—21no—
335C23×C3—21no—
336C23×C3—34no—
337C23×C3—34no—
338C23×C3—32no—
339C23×C3—32no—
340C23×C3—41no—
341C23×C3—62no—
342C23×C3—64no—
343C23×C3—64no—
344C23×C3—64no—
345C23×C3—62no—
346C23×C3—62no—
347C23×C3—62no—
348C23×C3—62no—
349C23×C3D3×Dic311yescharacteristic
350C23×C3C3×C4×D311yescharacteristic
351C23×C3C2×C3×Dic311yescharacteristic
352C22×D3—22no—
353C22×D3—22no—
354C22×D3C3×C3⋊C814yescomplemented
355C22×D3C2×C3×Dic312yes—
356C2×C3×C4—21no—
357C2×C3×C4—21no—
358C2×C3×C4—21no—
359C2×C3×C4—22no—
360C2×C3×C4—22no—
361C2×C3×C4—22no—
362C2×C3×C4—22no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—32no—
369C2×C3×C4—32no—
370C2×C3×C4—41no—
371C2×C3×C4—42no—
372C2×C3×C4—42no—
373C2×C3×C4—41no—
374C2×C3×C4—62no—
375C2×C3×C4—64no—
376C2×C3×C4—64no—
377C2×C3×C4—68no—
378C2×C3×C4—64no—
379C2×C3×C4—62no—
380C2×C3×C4—62no—
381C2×C3×C4—64no—
382C2×C3×C4—64no—
383C2×C3×C4—62no—
384C2×C3×C4—62no—
385C2×C3×C4—62no—
386C2×C3×C4—62no—
387C2×C3×C4D3×Dic311yescharacteristic
388C2×C3×C4#62512yes—
389C2×C3×C4#62612yes—
390C2×C3×C4C3×C4×D311yescharacteristic
391C2×C3×C4C3×D1212yes—
392C2×C3×C4C2×C3×Dic311yescharacteristic
393C2×C3×C4C3×#6712yes—
394C2×C3×C4C3×#6712yes—
395C2×C3×C4C3×#6712yes—
396C2×C3×C4C2×D3211yescharacteristic
397C2×C3×C4C22×C3×D311yescharacteristic
398C2×C3×C4C22×C3×D311yescharacteristic
399C2×Dic3—22no—
400C2×Dic3C2×C3×Dic312yes—
401C4×D3—24no—
402C4×D3—22no—
403C4×D3—22no—
404C3×C8—64no—
405C3×C8—62no—
406C3×C8—62no—
407C3×C8—182no—
408C3⋊C8—22no—
409C3⋊C8—64no—
410C3⋊C8—62no—
411C3⋊C8—62no—
412C2×C32—21no—
413C2×C32—21no—
414C2×C32—21no—
415C2×C32—21no—
416C2×C32—21no—
417C2×C32—24no—
418C2×C32—21no—
419C2×C32—21no—
420C2×C32—21no—
421C2×C32—24no—
422C2×C32—24no—
423C2×C32—21no—
424C2×C32—44no—
425C2×C32—41no—
426C2×C32—41no—
427C2×C32—41no—
428C2×C32—64no—
429C2×C32(C2×D3)⋊C814yescomplemented
430C2×C32#83014yescomplemented
431C2×C32C3×C22⋊C814yescomplemented
432C2×C32C2×D3×C811yescharacteristic
433C2×C32C2×ΓL(1,𝔽25)11yescharacteristic
434C2×C32C22×C3⋊C811yescharacteristic
435C2×C32C2×#20811yescharacteristic
436C2×C32C2×(C2×D3)⋊C411yescharacteristic
437C2×C32C2×#21711yescharacteristic
438C2×C32C2×C3×C22⋊C411yescharacteristic
439C2×C32C22×C3×C811yescharacteristic
440C2×C32C2×C3×M1611yescharacteristic
441C3×D3—28no—
442C3×D3—24no—
443C3×D3—24no—
444C24—31no—
445C22×C4—31no—
446C22×C4—32no—
447C22×C4—32no—
448C22×C4—62no—
449C22×C4—62no—
450C22×C4C3×D3211yescharacteristic
451C2×C8—32no—
452C2×C8—62no—
453C2×C8—92no—
454C2×C8—182no—
455C22×C3—21no—
456C22×C3—21no—
457C22×C3—21no—
458C22×C3—22no—
459C22×C3—22no—
460C22×C3—22no—
461C22×C3—22no—
462C22×C3—22no—
463C22×C3—22no—
464C22×C3—22no—
465C22×C3—22no—
466C22×C3—22no—
467C22×C3—34no—
468C22×C3—34no—
469C22×C3—41no—
470C22×C3—42no—
471C22×C3—42no—
472C22×C3—42no—
473C22×C3—64no—
474C22×C3—64no—
475C22×C3—64no—
476C22×C3—616no—
477C22×C3—62no—
478C22×C3—62no—
479C22×C3—68no—
480C22×C3—62no—
481C22×C3—68no—
482C22×C3—62no—
483C22×C3D3×C3⋊C812yes—
484C22×C3#371112yes—
485C22×C3(C2×D3)⋊Dic312yes—
486C22×C3C3×D3×C812yes—
487C22×C3C3×ΓL(1,𝔽25)12yes—
488C22×C3C2×C3×C3⋊C812yes—
489C22×C3C3×#20812yes—
490C22×C3C3×(C2×D3)⋊C412yes—
491C22×C3C3×#21712yes—
492C22×C3C2×D3×Dic311yescharacteristic
493C22×C3C2×C3×C4×D311yescharacteristic
494C22×C3C22×C3×Dic311yescharacteristic
495C2×D3—22no—
496C2×D3—22no—
497C2×D3—28no—
498C2×D3C2×C3×C3⋊C814yescomplemented
499C3×C4—21no—
500C3×C4—21no—
501C3×C4—21no—
502C3×C4—21no—
503C3×C4—21no—
504C3×C4—21no—
505C3×C4—22no—
506C3×C4—22no—
507C3×C4—22no—
508C3×C4—41no—
509C3×C4—41no—
510C3×C4—42no—
511C3×C4—64no—
512C3×C4—62no—
513C3×C4—62no—
514C3×C4(C2×D3)⋊Dic312yes—
515C3×C4C3×(C2×D3)⋊C412yes—
516C3×C4C3×#21712yes—
517C3×C4C2×#62511yescharacteristic
518C3×C4C2×#62611yescharacteristic
519C3×C4C2×C3×D1211yescharacteristic
520C3×C4C2×C3×#6711yescharacteristic
521C3×C4C2×C3×#6711yescharacteristic
522C3×C4C2×C3×#6711yescharacteristic
523Dic3—22no—
524C32—21no—
525C32—21no—
526C32—21no—
527C32—41no—
528C32C2×(C2×D3)⋊C811yescharacteristic, complemented
529C32C2×#83011yescharacteristic, complemented
530C32C2×C3×C22⋊C811yescharacteristic, complemented
531C23—32no—
532C23—34no—
533C23—62no—
534C23—62no—
535C23C3×D3×Dic311yescharacteristic
536C2×C4—32no—
537C2×C4—62no—
538C2×C4—62no—
539C2×C4—62no—
540C2×C4—64no—
541C2×C4C3×D3×Dic311yescharacteristic
542C2×C4C3×#62512yes—
543C2×C4C3×#62612yes—
544C2×C4C2×C3×D3211yescharacteristic
545C8—62no—
546C8—182no—
547C2×C3—21no—
548C2×C3—21no—
549C2×C3—21no—
550C2×C3—21no—
551C2×C3—21no—
552C2×C3—21no—
553C2×C3—21no—
554C2×C3—21no—
555C2×C3—21no—
556C2×C3—24no—
557C2×C3—24no—
558C2×C3—24no—
559C2×C3—41no—
560C2×C3—41no—
561C2×C3—41no—
562C2×C3—44no—
563C2×C3—68no—
564C2×C3—64no—
565C2×C3—64no—
566C2×C3(C2×D3)⋊(C3⋊C8)14yesdirect product factor
567C2×C3C3×(C2×D3)⋊C814yescomplemented
568C2×C3C3×#83014yescomplemented
569C2×C3C2×D3×C3⋊C811yescharacteristic
570C2×C3C2×#371111yescharacteristic
571C2×C3C2×(C2×D3)⋊Dic311yescharacteristic
572C2×C3C2×C3×D3×C811yescharacteristic
573C2×C3C2×C3×ΓL(1,𝔽25)11yescharacteristic
574C2×C3C22×C3×C3⋊C811yescharacteristic
575C2×C3C2×C3×#20811yescharacteristic
576C2×C3C2×C3×(C2×D3)⋊C411yescharacteristic
577C2×C3C2×C3×#21711yescharacteristic
578D3—24no—
579C22—34no—
580C22—62no—
581C22—62no—
582C22—68no—
583C22C3×D3×C3⋊C812yes—
584C22C3×#371112yes—
585C22C3×(C2×D3)⋊Dic312yes—
586C22C2×C3×D3×Dic311yescharacteristic
587C4—62no—
588C4C3×(C2×D3)⋊Dic312yes—
589C4C2×C3×#62511yescharacteristic
590C4C2×C3×#62611yescharacteristic
591C3—21no—
592C3—21no—
593C3—21no—
594C3—41no—
595C3C2×(C2×D3)⋊(C3⋊C8)11yescharacteristic, direct product factor
596C3C2×C3×(C2×D3)⋊C811yescharacteristic, complemented
597C3C2×C3×#83011yescharacteristic, complemented
598C2—64no—
599C2C3×(C2×D3)⋊(C3⋊C8)14yesdirect product factor
600C2C2×C3×D3×C3⋊C811yescharacteristic
601C2C2×C3×#371111yescharacteristic
602C2C2×C3×(C2×D3)⋊Dic311yescharacteristic
subgroupG/H
center, hypercenterC22×C3×C4D32
commutatorC2×C32C22×C3×C8
FrattiniC2×C4C2×C3×D32
FittingC22×C33×C4C22
socleC23×C33C2×C4
prime radicalC23×C32×D3C4
cosocleC2×C32×C4C23×C3
hypocenterC32C2×C3×C22⋊C8
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
2. C22×C3×C3⋊(C3⋊C8)C2semidirect
3. C22×C32×C3⋊C8C2semidirect
4. C3×(C2×D3)⋊(C3⋊C8)C2direct (N × H)
7. C2×(C2×D3)⋊(C3⋊C8)C3direct (N × H)
16. C2×C3×C3⋊(C3⋊C8)C22semidirect
18. C2×C32×C3⋊C8C22semidirect
24. C22×C3⋊(C3⋊C8)C2×C3semidirect
29. C22×C3×C3⋊C8D3semidirect
30. C22×C3×C3⋊C8C2×C3semidirect
33. (C2×D3)⋊(C3⋊C8)C2×C3direct (N × H)
37. C22×C32×D3C8semidirect
87. C2×C3⋊(C3⋊C8)C22×C3semidirect
98. C2×C3×C3⋊C8C2×D3semidirect
99. C2×C3×C3⋊C8C22×C3semidirect
107. C2×C32×D3C2×C8semidirect
123. C22×C3⋊C8C3×D3semidirect
146. C22×C3×D3C3⋊C8semidirect
147. C22×C3×D3C3×C8semidirect
207. C2×C33C22⋊C8semidirect
258. C2×C3⋊C8C2×C3×D3semidirect
301. C2×C3×D3C2×C3⋊C8semidirect
302. C2×C3×D3C2×C3×C8semidirect
332. C33C2×C22⋊C8semidirect
354. C22×D3C3×C3⋊C8semidirect
429. C2×C32(C2×D3)⋊C8semidirect
430. C2×C32#830semidirect
431. C2×C32C3×C22⋊C8semidirect
498. C2×D3C2×C3×C3⋊C8semidirect
528. C32C2×(C2×D3)⋊C8semidirect
529. C32C2×#830semidirect
530. C32C2×C3×C22⋊C8semidirect
566. C2×C3(C2×D3)⋊(C3⋊C8)direct (N × H)
567. C2×C3C3×(C2×D3)⋊C8semidirect
568. C2×C3C3×#830semidirect
595. C3C2×(C2×D3)⋊(C3⋊C8)direct (N × H)
596. C3C2×C3×(C2×D3)⋊C8semidirect
597. C3C2×C3×#830semidirect
599. C2C3×(C2×D3)⋊(C3⋊C8)direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C32×C4×D32
C22×C3×C3⋊(C3⋊C8)2
C22×C32×C3⋊C82
C3×(C2×D3)⋊(C3⋊C8)2
C2×C3×#8303
C2×C3×(C2×D3)⋊C83
C2×(C2×D3)⋊(C3⋊C8)3