Finite Group Databasebeta

← C3×D9×C22⋊Q8 #13152907

Subgroups — C3×D9×C22⋊Q8 #13152907

Order 1728.

1040 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×Q8×D9C211yesmaximal, characteristic, complemented
2C22×C3×C4×D9C211yesmaximal, characteristic
3C3×C9×C22⋊Q8C211yesmaximal, characteristic, complemented
4C3×#63508C211yesmaximal, characteristic, complemented
5C3×#63486C211yesmaximal, characteristic, complemented
6C3×#63459C211yesmaximal, characteristic, complemented
7C3×#63458C212yesmaximal, complemented
8C3×C4⋊C4×D9C212yesmaximal, complemented
9C3×C4⋊C4×D9C211yesmaximal, characteristic, complemented
10C3×C22⋊C4×D9C212yesmaximal
11C3×#63440C212yesmaximal, complemented
12C3×D3×C22⋊Q8—31nomaximal
13D9×C22⋊Q8C311yesmaximal, characteristic, direct product factor
14C23×C3×D9C2211yescharacteristic
15C2×C3×Q8×C9C2211yescharacteristic, complemented
16C22×C3×C4×C9C2211yescharacteristic
17C22×C3×Dic9C2211yescharacteristic
18C3×Q8×D9—24no—
19C2×C3×C4×D9—24no—
20C2×C3×C4×D9C2211yescharacteristic
21C2×C3×C4×D9C2211yescharacteristic
22C2×C3×C4×D9C2211yescharacteristic
23C2×C3×C4×D9C2212yes—
24C2×C3×C4×D9C2212yes—
25C2×C3×C4×D9C2211yescharacteristic
26C2×C3×Dic18C2211yescharacteristic, complemented
27C2×C3×Dic18C2212yescomplemented
28C3×C9×C4⋊C4C2212yescomplemented
29C3×C9×C4⋊C4C2211yescharacteristic, complemented
30C3×C9×C22⋊C4C2212yes—
31C3×#3676C2212yes—
32C3×(C2×D9)⋊C4C2212yes—
33C3×(C2×D9)⋊C4C2212yes—
34C3×C4⋊Dic9C2211yescharacteristic, complemented
35C3×C4⋊Dic9C2212yescomplemented
36C3×Dic9⋊C4C2212yescomplemented
37C3×Dic9⋊C4C2212yescomplemented
38C3×Dic9⋊C4C2212yescomplemented
39C2×C3×D3×Q8—31no—
40C22×C3×C4×D3—31no—
41C32×C22⋊Q8D311yescharacteristic
42C3×#946—31no—
43C3×#924—31no—
44C3×#897—31no—
45C3×#896—32no—
46C3×D3×C4⋊C4—31no—
47C3×D3×C4⋊C4—32no—
48C3×D3×C22⋊C4—32no—
49C3×#878—32no—
50C2×Q8×D9C2×C311yescharacteristic, complemented
51C22×C4×D9C2×C311yescharacteristic
52C9×C22⋊Q8—21no—
53C9×C22⋊Q8C2×C311yescharacteristic, complemented
54#63508C2×C311yescharacteristic, complemented
55#63486C2×C311yescharacteristic, complemented
56#63459C2×C311yescharacteristic, complemented
57#63458C2×C312yescomplemented
58C4⋊C4×D9C2×C312yescomplemented
59C4⋊C4×D9C2×C311yescharacteristic, complemented
60C22⋊C4×D9C2×C312yes—
61#63440C2×C312yescomplemented
62C23×C3×C9C2311yescharacteristic
63C22×C3×D9—22no—
64C22×C3×D9—22no—
65C22×C3×D9Q814yescomplemented
66C22×C3×D9C2311yescharacteristic
67C22×C3×D9C2311yescharacteristic
68C3×Q8×C9—22no—
69C2×C3×C4×C9—22no—
70C2×C3×C4×C9C2312yes—
71C2×C3×C4×C9C2311yescharacteristic
72C2×C3×C4×C9C2312yes—
73C2×C3×C4×C9C2311yescharacteristic
74C2×C3×Dic9—22no—
75C2×C3×Dic9C2312yes—
76C2×C3×Dic9C2311yescharacteristic
77C2×C3×Dic9C2312yes—
78C2×C3×Dic9C2311yescharacteristic
79C3×C4×D9—22no—
80C3×C4×D9—24no—
81C3×C4×D9—24no—
82C3×C4×D9—22no—
83C3×C4×D9—22no—
84C3×C4×D9D414yes—
85C3×Dic18—22no—
86C3×Dic18—24no—
87C2×C3×C22⋊Q8—91no—
88D3×C22⋊Q8—31no—
89C23×C3×D3—31no—
90C2×C32×Q8C2×D311yescharacteristic
91C22×C32×C4C2×D311yescharacteristic
92C22×C3×Dic3—31no—
93C3×D3×Q8—64no—
94C2×C3×C4×D3—31no—
95C2×C3×C4×D3—32no—
96C2×C3×C4×D3—32no—
97C2×C3×C4×D3—31no—
98C2×C3×C4×D3—31no—
99C2×C3×C4×D3—31no—
100C2×C3×C4×D3—64no—
101C2×C3×Dic6—32no—
102C2×C3×Dic6—31no—
103C23×D9C22×C311yescharacteristic
104C32×C4⋊C4C2×D312yes—
105C32×C4⋊C4C2×D311yescharacteristic
106C32×C22⋊C4C2×D312yes—
107C3×#217—32no—
108C3×(C2×D3)⋊C4—32no—
109C3×(C2×D3)⋊C4—32no—
110C3×C4⋊Dic3—32no—
111C3×C4⋊Dic3—31no—
112C3×Dic3⋊C4—32no—
113C3×Dic3⋊C4—32no—
114C3×Dic3⋊C4—32no—
115C2×Q8×C9—21no—
116C2×Q8×C9C22×C311yescharacteristic, complemented
117C22×C4×C9—21no—
118C22×C4×C9C22×C311yescharacteristic
119C22×Dic9C22×C311yescharacteristic
120Q8×D9—24no—
121C2×C4×D9—24no—
122C2×C4×D9C22×C311yescharacteristic
123C2×C4×D9C22×C312yes—
124C2×C4×D9C22×C312yes—
125C2×C4×D9C22×C311yescharacteristic
126C2×C4×D9C22×C311yescharacteristic
127C2×C4×D9C22×C311yescharacteristic
128C2×Dic18C22×C312yescomplemented
129C2×Dic18C22×C311yescharacteristic, complemented
130C9×C4⋊C4—21no—
131C9×C4⋊C4—22no—
132C9×C4⋊C4C22×C312yescomplemented
133C9×C4⋊C4C22×C311yescharacteristic, complemented
134C9×C22⋊C4—22no—
135C9×C22⋊C4C22×C312yes—
136#3676C22×C312yes—
137(C2×D9)⋊C4C22×C312yes—
138(C2×D9)⋊C4C22×C312yes—
139C4⋊Dic9C22×C311yescharacteristic, complemented
140C4⋊Dic9C22×C312yescomplemented
141Dic9⋊C4C22×C312yescomplemented
142Dic9⋊C4C22×C312yescomplemented
143Dic9⋊C4C22×C312yescomplemented
144C22×C3×C9—21no—
145C22×C3×C9—21no—
146C22×C3×C9C2×Q812yescomplemented
147C22×C3×C9C2411yescharacteristic
148C2×C3×D9—21no—
149C2×C3×D9—21no—
150C2×C3×D9—28no—
151C2×C3×D9C2×D412yes—
152C2×C3×D9C2×Q812yes—
153C2×C3×D9C2×Q812yescomplemented
154C2×C3×D9#4112yes—
155C3×C4×C9—22no—
156C3×C4×C9—21no—
157C3×C4×C9—22no—
158C3×C4×C9C2×D412yes—
159C3×Dic9—22no—
160C3×Dic9—21no—
161C3×Dic9—22no—
162C3×Dic9C2×D412yes—
163C22×C3×Q8—91no—
164C23×C3×C4—91no—
165C2×D3×Q8—31no—
166C22×C4×D3—31no—
167C3×C22⋊Q8—21no—
168C3×C22⋊Q8—91no—
169C3×C22⋊Q8—91no—
170C3×C22⋊Q8—92no—
171C3×C22⋊Q8—91no—
172C3×C22⋊Q8—92no—
173C3×C22⋊Q8D911yescharacteristic, direct product factor
174C3×C22⋊Q8C3×D311yescharacteristic
175C2×C3×C4⋊C4—91no—
176C2×C3×C4⋊C4—92no—
177C2×C3×C22⋊C4—92no—
178#946—31no—
179#924—31no—
180#897—31no—
181#896—32no—
182D3×C4⋊C4—31no—
183D3×C4⋊C4—32no—
184D3×C22⋊C4—32no—
185#878—32no—
186C23×C32C22×D311yescharacteristic
187C22×C3×D3—31no—
188C22×C3×D3—34no—
189C22×C3×D3—31no—
190C22×C3×D3—62no—
191C22×C3×D3—62no—
192C32×Q8—22no—
193C2×C32×C4—22no—
194C2×C32×C4C22×D311yescharacteristic
195C2×C32×C4C22×D312yes—
196C2×C32×C4C22×D312yes—
197C2×C32×C4C22×D311yescharacteristic
198C2×C3×Dic3—31no—
199C2×C3×Dic3—32no—
200C2×C3×Dic3—31no—
201C2×C3×Dic3—32no—
202C2×C3×Dic3—62no—
203C3×C4×D3—34no—
204C3×C4×D3—62no—
205C3×C4×D3—64no—
206C3×C4×D3—62no—
207C3×C4×D3—64no—
208C3×C4×D3—62no—
209C3×Dic6—64no—
210C3×Dic6—62no—
211C23×C9—21no—
212C23×C9C23×C311yescharacteristic
213C22×D9—22no—
214C22×D9—22no—
215C22×D9C3×Q814yescomplemented
216C22×D9C23×C311yescharacteristic
217C22×D9C23×C311yescharacteristic
218Q8×C9—22no—
219Q8×C9—42no—
220C2×C4×C9—22no—
221C2×C4×C9—21no—
222C2×C4×C9—22no—
223C2×C4×C9—22no—
224C2×C4×C9—21no—
225C2×C4×C9—42no—
226C2×C4×C9C23×C311yescharacteristic
227C2×C4×C9C23×C312yes—
228C2×C4×C9C23×C312yes—
229C2×C4×C9C23×C311yescharacteristic
230C2×Dic9—22no—
231C2×Dic9C23×C312yes—
232C2×Dic9C23×C311yescharacteristic
233C2×Dic9C23×C312yes—
234C2×Dic9C23×C311yescharacteristic
235C4×D9—22no—
236C4×D9—24no—
237C4×D9—24no—
238C4×D9—22no—
239C4×D9—22no—
240C4×D9C3×D414yes—
241Dic18—22no—
242Dic18—24no—
243C2×C22⋊Q8—91noSylow
244C2×C3×C9—22no—
245C2×C3×C9C22×D411yescharacteristic
246C2×C3×C9C22×Q811yescharacteristic
247C2×C3×C9C2×#4111yescharacteristic
248C3×D9—22no—
249C3×D9C22⋊Q814yesdirect product factor
250C24×C3—91no—
251C23×D3—31no—
252C2×C3×Q8—21no—
253C2×C3×Q8—92no—
254C2×C3×Q8—91no—
255C2×C3×Q8—184no—
256C2×C3×Q8C2×D911yescharacteristic, complemented
257C2×C3×Q8C2×C3×D311yescharacteristic
258C22×C3×C4—21no—
259C22×C3×C4—91no—
260C22×C3×C4—91no—
261C22×C3×C4—92no—
262C22×C3×C4—92no—
263C22×C3×C4—91no—
264C22×C3×C4—91no—
265C22×C3×C4—91no—
266C22×C3×C4—184no—
267C22×C3×C4C2×D911yescharacteristic
268C22×C3×C4C2×C3×D311yescharacteristic
269C22×Dic3—31no—
270D3×Q8—64no—
271C2×C4×D3—31no—
272C2×C4×D3—32no—
273C2×C4×D3—32no—
274C2×C4×D3—31no—
275C2×C4×D3—31no—
276C2×C4×D3—31no—
277C2×C4×D3—64no—
278C2×Dic6—32no—
279C2×Dic6—31no—
280C3×C4⋊C4—21no—
281C3×C4⋊C4—22no—
282C3×C4⋊C4—92no—
283C3×C4⋊C4—92no—
284C3×C4⋊C4—92no—
285C3×C4⋊C4—91no—
286C3×C4⋊C4—92no—
287C3×C4⋊C4C2×D911yescharacteristic, complemented
288C3×C4⋊C4C2×D912yescomplemented
289C3×C4⋊C4C2×C3×D312yes—
290C3×C4⋊C4C2×C3×D311yescharacteristic
291C3×C22⋊C4—22no—
292C3×C22⋊C4—92no—
293C3×C22⋊C4—92no—
294C3×C22⋊C4—92no—
295C3×C22⋊C4C2×D912yes—
296C3×C22⋊C4C2×C3×D312yes—
297#217—32no—
298(C2×D3)⋊C4—32no—
299(C2×D3)⋊C4—32no—
300C4⋊Dic3—32no—
301C4⋊Dic3—31no—
302Dic3⋊C4—32no—
303Dic3⋊C4—32no—
304Dic3⋊C4—32no—
305C22×C32—21no—
306C22×C32—21no—
307C22×C32D3×Q812yes—
308C22×C32C23×D311yescharacteristic
309C2×C3×D3—32no—
310C2×C3×D3—32no—
311C2×C3×D3—32no—
312C2×C3×D3—32no—
313C2×C3×D3—68no—
314C2×C3×D3—61no—
315C2×C3×D3—61no—
316C32×C4—22no—
317C32×C4—21no—
318C32×C4—22no—
319C32×C4D3×D412yes—
320C3×Dic3—32no—
321C3×Dic3—62no—
322C3×Dic3—61no—
323C3×Dic3—62no—
324C22×C9—21no—
325C22×C9—21no—
326C22×C9—21no—
327C22×C9—22no—
328C22×C9—41no—
329C22×C9—41no—
330C22×C9C2×C3×Q812yescomplemented
331C22×C9C24×C311yescharacteristic
332C2×D9—21no—
333C2×D9—21no—
334C2×D9—28no—
335C2×D9C2×C3×D412yes—
336C2×D9C2×C3×Q812yes—
337C2×D9C2×C3×Q812yescomplemented
338C2×D9C3×#4112yes—
339C4×C9—22no—
340C4×C9—21no—
341C4×C9—22no—
342C4×C9—22no—
343C4×C9—42no—
344C4×C9—41no—
345C4×C9—42no—
346C4×C9C2×C3×D412yes—
347Dic9—22no—
348Dic9—21no—
349Dic9—22no—
350Dic9C2×C3×D412yes—
351C22×Q8—91no—
352C23×C4—91no—
353C22⋊Q8—91no—
354C22⋊Q8—91no—
355C22⋊Q8—92no—
356C22⋊Q8—91no—
357C22⋊Q8—92no—
358C22⋊Q8C3×D911yescharacteristic, direct product factor
359C2×C4⋊C4—91no—
360C2×C4⋊C4—92no—
361C2×C22⋊C4—92no—
362C3×C9C2×C22⋊Q811yescharacteristic, complemented, Sylow
363C23×C3—21no—
364C23×C3—91no—
365C23×C3—94no—
366C23×C3—91no—
367C23×C3—182no—
368C23×C3—182no—
369C23×C3C22×D911yescharacteristic
370C23×C3C22×C3×D311yescharacteristic
371C22×D3—31no—
372C22×D3—31no—
373C22×D3—34no—
374C22×D3—62no—
375C22×D3—62no—
376C3×Q8—22no—
377C3×Q8—22no—
378C3×Q8—42no—
379C3×Q8—184no—
380C3×Q8—182no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—21no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—21no—
387C2×C3×C4—42no—
388C2×C3×C4—91no—
389C2×C3×C4—94no—
390C2×C3×C4—92no—
391C2×C3×C4—92no—
392C2×C3×C4—91no—
393C2×C3×C4—182no—
394C2×C3×C4—184no—
395C2×C3×C4—182no—
396C2×C3×C4—184no—
397C2×C3×C4—182no—
398C2×C3×C4—182no—
399C2×C3×C4C22×D912yes—
400C2×C3×C4C22×D912yes—
401C2×C3×C4C22×D911yescharacteristic
402C2×C3×C4C22×D911yescharacteristic
403C2×C3×C4C22×C3×D311yescharacteristic
404C2×C3×C4C22×C3×D312yes—
405C2×C3×C4C22×C3×D312yes—
406C2×C3×C4C22×C3×D311yescharacteristic
407C2×Dic3—31no—
408C2×Dic3—32no—
409C2×Dic3—31no—
410C2×Dic3—32no—
411C2×Dic3—62no—
412C4×D3—34no—
413C4×D3—62no—
414C4×D3—64no—
415C4×D3—62no—
416C4×D3—64no—
417C4×D3—62no—
418Dic6—64no—
419Dic6—62no—
420C2×C32—22no—
421C2×C32C2×D3×D411yescharacteristic
422C2×C32C2×D3×Q811yescharacteristic
423C2×C32D3×#4111yescharacteristic
424C3×D3—34no—
425C3×D3—62no—
426C2×C9—22no—
427C2×C9—21no—
428C2×C9—21no—
429C2×C9—21no—
430C2×C9—42no—
431C2×C9C22×C3×D411yescharacteristic
432C2×C9C22×C3×Q811yescharacteristic
433C2×C9C2×C3×#4111yescharacteristic
434D9—22no—
435D9C3×C22⋊Q814yesdirect product factor
436C24—91no—
437C2×Q8—92no—
438C2×Q8—91no—
439C2×Q8—184no—
440C2×Q8C2×C3×D911yescharacteristic, complemented
441C22×C4—91no—
442C22×C4—91no—
443C22×C4—92no—
444C22×C4—92no—
445C22×C4—91no—
446C22×C4—91no—
447C22×C4—91no—
448C22×C4—184no—
449C22×C4C2×C3×D911yescharacteristic
450C4⋊C4—92no—
451C4⋊C4—92no—
452C4⋊C4—92no—
453C4⋊C4—91no—
454C4⋊C4—92no—
455C4⋊C4C2×C3×D911yescharacteristic, complemented
456C4⋊C4C2×C3×D912yescomplemented
457C22⋊C4—92no—
458C22⋊C4—92no—
459C22⋊C4—92no—
460C22⋊C4C2×C3×D912yes—
461C22×C3—21no—
462C22×C3—21no—
463C22×C3—21no—
464C22×C3—21no—
465C22×C3—21no—
466C22×C3—22no—
467C22×C3—41no—
468C22×C3—41no—
469C22×C3—92no—
470C22×C3—92no—
471C22×C3—92no—
472C22×C3—92no—
473C22×C3—188no—
474C22×C3—181no—
475C22×C3—181no—
476C22×C3Q8×D912yescomplemented
477C22×C3C23×D911yescharacteristic
478C22×C3C3×D3×Q812yes—
479C22×C3C23×C3×D311yescharacteristic
480C2×D3—32no—
481C2×D3—32no—
482C2×D3—32no—
483C2×D3—32no—
484C2×D3—68no—
485C2×D3—61no—
486C2×D3—61no—
487C3×C4—22no—
488C3×C4—21no—
489C3×C4—22no—
490C3×C4—21no—
491C3×C4—22no—
492C3×C4—22no—
493C3×C4—22no—
494C3×C4—41no—
495C3×C4—42no—
496C3×C4—42no—
497C3×C4—92no—
498C3×C4—181no—
499C3×C4—182no—
500C3×C4—182no—
501C3×C4D4×D912yes—
502C3×C4C3×D3×D412yes—
503Dic3—32no—
504Dic3—62no—
505Dic3—61no—
506Dic3—62no—
507C32D3×C22⋊Q811yescharacteristic
508C9—21no—
509C9C2×C3×C22⋊Q811yescharacteristic, complemented
510C23—91no—
511C23—91no—
512C23—94no—
513C23—182no—
514C23—182no—
515C23C22×C3×D911yescharacteristic
516Q8—22no—
517Q8—184no—
518Q8—182no—
519C2×C4—22no—
520C2×C4—91no—
521C2×C4—94no—
522C2×C4—92no—
523C2×C4—92no—
524C2×C4—91no—
525C2×C4—182no—
526C2×C4—182no—
527C2×C4—184no—
528C2×C4—184no—
529C2×C4—182no—
530C2×C4—182no—
531C2×C4C22×C3×D912yes—
532C2×C4C22×C3×D912yes—
533C2×C4C22×C3×D911yescharacteristic
534C2×C4C22×C3×D911yescharacteristic
535C2×C3—22no—
536C2×C3—22no—
537C2×C3—21no—
538C2×C3—21no—
539C2×C3—21no—
540C2×C3—42no—
541C2×C3—94no—
542C2×C3—182no—
543C2×C3C2×D4×D911yescharacteristic
544C2×C3C2×Q8×D911yescharacteristic
545C2×C3#41×D911yescharacteristic
546C2×C3C2×C3×D3×D411yescharacteristic
547C2×C3C2×C3×D3×Q811yescharacteristic
548C2×C3C3×D3×#4111yescharacteristic
549D3—34no—
550D3—62no—
551C22—21no—
552C22—21no—
553C22—92no—
554C22—92no—
555C22—92no—
556C22—92no—
557C22—188no—
558C22—181no—
559C22—181no—
560C22C3×Q8×D912yescomplemented
561C22C23×C3×D911yescharacteristic
562C4—21no—
563C4—22no—
564C4—22no—
565C4—92no—
566C4—181no—
567C4—182no—
568C4—182no—
569C4C3×D4×D912yes—
570C3—21no—
571C3D9×C22⋊Q811yescharacteristic, direct product factor
572C3C3×D3×C22⋊Q811yescharacteristic
573C2—22no—
574C2—94no—
575C2—182no—
576C2C2×C3×D4×D911yescharacteristic
577C2C2×C3×Q8×D911yescharacteristic
578C2C3×#41×D911yescharacteristic
subgroupG/H
centerC22×C3C23×D9
commutator, cosocleC22×C9C24×C3
FrattiniC22×C3C23×C3×D3
FittingC3×C9×C22⋊Q8C2
socleC22×C32C23×D3
prime radicalC23×C3×D9C22
hypercenterC3×C22⋊Q8D9
hypocenterC9C2×C3×C22⋊Q8
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22×C3 ◁ C3×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×C3×Q8×D9C2semidirect
3. C3×C9×C22⋊Q8C2semidirect
4. C3×#63508C2semidirect
5. C3×#63486C2semidirect
6. C3×#63459C2semidirect
7. C3×#63458C2semidirect
8. C3×C4⋊C4×D9C2semidirect
9. C3×C4⋊C4×D9C2semidirect
11. C3×#63440C2semidirect
13. D9×C22⋊Q8C3direct (N × H)
15. C2×C3×Q8×C9C22semidirect
26. C2×C3×Dic18C22semidirect
27. C2×C3×Dic18C22semidirect
28. C3×C9×C4⋊C4C22semidirect
29. C3×C9×C4⋊C4C22semidirect
34. C3×C4⋊Dic9C22semidirect
35. C3×C4⋊Dic9C22semidirect
36. C3×Dic9⋊C4C22semidirect
37. C3×Dic9⋊C4C22semidirect
38. C3×Dic9⋊C4C22semidirect
50. C2×Q8×D9C2×C3semidirect
53. C9×C22⋊Q8C2×C3semidirect
54. #63508C2×C3semidirect
55. #63486C2×C3semidirect
56. #63459C2×C3semidirect
57. #63458C2×C3semidirect
58. C4⋊C4×D9C2×C3semidirect
59. C4⋊C4×D9C2×C3semidirect
61. #63440C2×C3semidirect
65. C22×C3×D9Q8semidirect
116. C2×Q8×C9C22×C3semidirect
128. C2×Dic18C22×C3semidirect
129. C2×Dic18C22×C3semidirect
132. C9×C4⋊C4C22×C3semidirect
133. C9×C4⋊C4C22×C3semidirect
139. C4⋊Dic9C22×C3semidirect
140. C4⋊Dic9C22×C3semidirect
141. Dic9⋊C4C22×C3semidirect
142. Dic9⋊C4C22×C3semidirect
143. Dic9⋊C4C22×C3semidirect
146. C22×C3×C9C2×Q8semidirect
153. C2×C3×D9C2×Q8semidirect
173. C3×C22⋊Q8D9direct (N × H)
215. C22×D9C3×Q8semidirect
249. C3×D9C22⋊Q8direct (N × H)
256. C2×C3×Q8C2×D9semidirect
287. C3×C4⋊C4C2×D9semidirect
288. C3×C4⋊C4C2×D9semidirect
330. C22×C9C2×C3×Q8semidirect
337. C2×D9C2×C3×Q8semidirect
358. C22⋊Q8C3×D9direct (N × H)
362. C3×C9C2×C22⋊Q8semidirect
435. D9C3×C22⋊Q8direct (N × H)
440. C2×Q8C2×C3×D9semidirect
455. C4⋊C4C2×C3×D9semidirect
456. C4⋊C4C2×C3×D9semidirect
476. C22×C3Q8×D9semidirect
509. C9C2×C3×C22⋊Q8semidirect
560. C22C3×Q8×D9semidirect
571. C3D9×C22⋊Q8direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×Q8×D92
C22×C3×C4×D92
C3×C9×C22⋊Q82
C3×#635082
C3×#634862
C3×#634592
C3×#634582
C3×C4⋊C4×D92
C3×C22⋊C4×D92
C3×#634402
C3×D3×C22⋊Q83
D9×C22⋊Q83