Finite Group Databasebeta

← D3×C22⋊C4×D9 #13148390

Subgroups — D3×C22⋊C4×D9 #13148390

Order 1728.

2154 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×D3×D9C211yesmaximal, characteristic
2C2×C4×D3×D9C212yesmaximal, complemented
3C22⋊C4×C3⋊D9C211yesmaximal, characteristic, complemented
4D3×C9×C22⋊C4C211yesmaximal, characteristic, complemented
5C3×C22⋊C4×D9C211yesmaximal, characteristic, complemented
6D3×#3676C211yesmaximal, characteristic, complemented
7#11721274C211yesmaximal, characteristic, complemented
8D9×#217C211yesmaximal, characteristic, complemented
9#11721048C212yesmaximal, complemented
10D3×(C2×D9)⋊C4C212yesmaximal, complemented
11D9×(C2×D3)⋊C4C212yesmaximal, complemented
12D32×C22⋊C4—31nomaximal
13C2×C22⋊C4×D9—31nomaximal
14C23×C3⋊D9C2211yescharacteristic
15C23×D3×C9C2211yescharacteristic
16C23×C3×D9C2211yescharacteristic
17C22×D3×D9—28no—
18C22×D3×D9C418yescomplemented
19C22×D3×D9C2211yescharacteristic
20C22×D3×D9C2211yescharacteristic
21C22×D3×D9C2211yescharacteristic
22C22×D3×D9C2211yescharacteristic
23C2×C4×C3⋊D9C2212yescomplemented
24C2×C4×D3×C9C2212yescomplemented
25C2×C3×C4×D9C2212yescomplemented
26C2×D3×Dic9C2212yescomplemented
27C2×(C3⋊D9)⋊C4C2212yescomplemented
28C2×Dic3×D9C2212yescomplemented
29C4×D3×D9—28no—
30C3×C9×C22⋊C4C2211yescharacteristic, complemented
31#88551C2211yescharacteristic, complemented
32#88536C2212yescomplemented
33C9×#217C2211yescharacteristic, complemented
34C3×#3676C2211yescharacteristic, complemented
35C9×(C2×D3)⋊C4C2212yescomplemented
36C3×(C2×D9)⋊C4C2212yescomplemented
37(C2×D3)⋊Dic9C2212yescomplemented
38#88445C2212yescomplemented
39(C2×D9)⋊Dic3C2212yescomplemented
40C23×D32—31no—
41C2×C4×D32—32no—
42C24×D9—31no—
43C22⋊C4×C3⋊D3—31no—
44C3×D3×C22⋊C4—31no—
45C3×D3×C22⋊C4D311yescharacteristic
46#63974—31no—
47D3×#217—31no—
48D3×#217—31no—
49#63921—32no—
50D3×(C2×D3)⋊C4—32no—
51D3×(C2×D3)⋊C4—32no—
52C22×C4×D9—32no—
53C2×C9×C22⋊C4—31no—
54C2×#3676—31no—
55C2×(C2×D9)⋊C4—32no—
56C22⋊C4×D9—31no—
57C22⋊C4×D9—32no—
58C22⋊C4×D9—31no—
59C22⋊C4×D9—31no—
60C22⋊C4×D9—32no—
61C22⋊C4×D9—61no—
62C22⋊C4×D9D311yescharacteristic, direct product factor
63C23×C3×C9C2311yescharacteristic
64C22×C3⋊D9—24no—
65C22×C3⋊D9C2×C414yescomplemented
66C22×C3⋊D9C2311yescharacteristic
67C22×C3⋊D9C2311yescharacteristic
68C22×D3×C9—24no—
69C22×D3×C9C2×C414yescomplemented
70C22×D3×C9C2311yescharacteristic
71C22×D3×C9C2311yescharacteristic
72C22×C3×D9—24no—
73C22×C3×D9C2×C414yescomplemented
74C22×C3×D9C2311yescharacteristic
75C22×C3×D9C2311yescharacteristic
76C2×D3×D9—24no—
77C2×D3×D9—24no—
78C2×D3×D9—24no—
79C2×D3×D9—232no—
80C2×D3×D9C2×C414yes—
81C2×D3×D9C2×C414yescomplemented
82C2×D3×D9C2×C414yescomplemented
83C2×D3×D9C2×C414yescomplemented
84C2×D3×D9D418yes—
85C2×C3×C4×C9C2312yescomplemented
86C2×C3⋊Dic9C2312yescomplemented
87C4×C3⋊D9—24no—
88C2×C9×Dic3C2312yescomplemented
89C2×C3×Dic9C2312yescomplemented
90C4×D3×C9—24no—
91C3×C4×D9—24no—
92D3×Dic9—24no—
93(C3⋊D9)⋊C4—24no—
94Dic3×D9—24no—
95C2×D3×C22⋊C4—91no—
96C2×D3×C22⋊C4—91no—
97C23×C3⋊D3—31no—
98C23×C3×D3—31no—
99C23×C3×D3C2×D311yescharacteristic
100C22×D32—31no—
101C22×D32—38no—
102C22×D32—31no—
103C22×D32—31no—
104C22×D32—31no—
105C22×D32—68no—
106C2×C4×C3⋊D3—32no—
107C2×C3×C4×D3—32no—
108C2×C3×C4×D3C2×D312yes—
109C2×#624—32no—
110C2×D3×Dic3—32no—
111C2×D3×Dic3—32no—
112C4×D32—68no—
113C24×C9—31no—
114C23×D9—31no—
115C23×D9—31no—
116C23×D9—38no—
117C23×D9—31no—
118C23×D9—31no—
119C23×D9—31no—
120C23×D9—68no—
121C23×D9—61no—
122C23×D9C2×D311yescharacteristic
123C32×C22⋊C4C2×D311yescharacteristic
124#3757—31no—
125#3752—32no—
126C3×#217—31no—
127C3×#217C2×D311yescharacteristic
128C3×(C2×D3)⋊C4—32no—
129C3×(C2×D3)⋊C4C2×D312yes—
130#3722—32no—
131(C2×D3)⋊Dic3—32no—
132(C2×D3)⋊Dic3—32no—
133C22×C4×C9—32no—
134C22×Dic9—32no—
135C2×C4×D9—32no—
136C2×C4×D9—32no—
137C2×C4×D9—32no—
138C2×C4×D9—68no—
139C2×C4×D9—62no—
140C2×C4×D9C2×D312yescomplemented
141C9×C22⋊C4—21no—
142C9×C22⋊C4—31no—
143C9×C22⋊C4—32no—
144C9×C22⋊C4C2×D311yescharacteristic, complemented
145#3676—31no—
146#3676—32no—
147#3676—61no—
148#3676C2×D311yescharacteristic, complemented
149(C2×D9)⋊C4—32no—
150(C2×D9)⋊C4—32no—
151(C2×D9)⋊C4—32no—
152(C2×D9)⋊C4—62no—
153(C2×D9)⋊C4C2×D312yescomplemented
154C22×C3×C9—22no—
155C22×C3×C9C22×C412yescomplemented
156C22×C3×C9C2411yescharacteristic
157C2×C3⋊D9—22no—
158C2×C3⋊D9—28no—
159C2×C3⋊D9C22×C412yes—
160C2×C3⋊D9C22×C412yescomplemented
161C2×C3⋊D9C2×D414yes—
162C2×D3×C9—22no—
163C2×D3×C9—28no—
164C2×D3×C9C22×C412yes—
165C2×D3×C9C22×C412yescomplemented
166C2×D3×C9C2×D414yes—
167C2×C3×D9—22no—
168C2×C3×D9—28no—
169C2×C3×D9C22×C412yes—
170C2×C3×D9C22×C412yescomplemented
171C2×C3×D9C2×D414yes—
172D3×D9—28no—
173D3×D9—28no—
174D3×D9—28no—
175D3×D9C22⋊C4116yesdirect product factor
176C3×C4×C9—22no—
177C3⋊Dic9—22no—
178C9×Dic3—22no—
179C3×Dic9—22no—
180C24×D3—91no—
181C24×D3—91no—
182C22×C4×D3—92no—
183C22×C4×D3—92no—
184C2×C3×C22⋊C4—31no—
185C2×C3×C22⋊C4—91no—
186C2×#217—91no—
187C2×#217—91no—
188C2×(C2×D3)⋊C4—92no—
189C2×(C2×D3)⋊C4—92no—
190D3×C22⋊C4—31no—
191D3×C22⋊C4—92no—
192D3×C22⋊C4—91no—
193D3×C22⋊C4—92no—
194D3×C22⋊C4—91no—
195D3×C22⋊C4—91no—
196D3×C22⋊C4—92no—
197D3×C22⋊C4—91no—
198D3×C22⋊C4—91no—
199D3×C22⋊C4—91no—
200D3×C22⋊C4—92no—
201D3×C22⋊C4—181no—
202D3×C22⋊C4D911yescharacteristic, direct product factor
203C23×C32C22×D311yescharacteristic
204C22×C3⋊D3—31no—
205C22×C3⋊D3—34no—
206C22×C3⋊D3—31no—
207C22×C3⋊D3—64no—
208C22×C3×D3—24no—
209C22×C3×D3—31no—
210C22×C3×D3—34no—
211C22×C3×D3—31no—
212C22×C3×D3—64no—
213C22×C3×D3C4×D314yes—
214C22×C3×D3C22×D311yescharacteristic
215C22×C3×D3C22×D311yescharacteristic
216C2×D32—34no—
217C2×D32—38no—
218C2×D32—34no—
219C2×D32—34no—
220C2×D32—34no—
221C2×D32—632no—
222C2×D32—64no—
223C2×D32—64no—
224C2×D32—64no—
225C2×C32×C4C22×D312yes—
226C2×C3⋊Dic3—32no—
227C4×C3⋊D3—64no—
228C2×C3×Dic3—32no—
229C2×C3×Dic3C22×D312yes—
230C3×C4×D3—24no—
231C3×C4×D3—64no—
232#624—64no—
233D3×Dic3—64no—
234D3×Dic3—64no—
235C23×C9—21no—
236C23×C9—31no—
237C23×C9—34no—
238C23×C9—31no—
239C23×C9—64no—
240C23×C9C22×D311yescharacteristic
241C22×D9—24no—
242C22×D9—31no—
243C22×D9—34no—
244C22×D9—38no—
245C22×D9—34no—
246C22×D9—31no—
247C22×D9—34no—
248C22×D9—34no—
249C22×D9—34no—
250C22×D9—61no—
251C22×D9—61no—
252C22×D9—64no—
253C22×D9—64no—
254C22×D9—632no—
255C22×D9—64no—
256C22×D9—64no—
257C22×D9—64no—
258C22×D9—124no—
259C22×D9C4×D314yescomplemented
260C22×D9C22×D311yescharacteristic
261C22×D9C22×D311yescharacteristic
262C2×C4×C9—22no—
263C2×C4×C9—32no—
264C2×C4×C9—64no—
265C2×C4×C9C22×D312yescomplemented
266C2×Dic9—32no—
267C2×Dic9—62no—
268C2×Dic9—64no—
269C2×Dic9C22×D312yescomplemented
270C4×D9—24no—
271C4×D9—64no—
272C4×D9—64no—
273C4×D9—64no—
274C4×D9—124no—
275C22×C22⋊C4—271noSylow
276C2×C3×C9—22no—
277C2×C3×C9C23×C411yescharacteristic
278C2×C3×C9C22×D412yes—
279C3⋊D9—22no—
280C3⋊D9C2×C22⋊C414yescomplemented
281D3×C9—22no—
282D3×C9C2×C22⋊C414yescomplemented
283C3×D9—22no—
284C3×D9C2×C22⋊C414yescomplemented
285C24×C3—31no—
286C24×C3—91no—
287C23×D3—31no—
288C23×D3—91no—
289C23×D3—91no—
290C23×D3—91no—
291C23×D3—91no—
292C23×D3—98no—
293C23×D3—91no—
294C23×D3—91no—
295C23×D3—91no—
296C23×D3—98no—
297C23×D3—91no—
298C23×D3—91no—
299C23×D3—91no—
300C23×D3—181no—
301C23×D3—188no—
302C23×D3—188no—
303C23×D3C2×D911yescharacteristic
304C22×C3×C4—32no—
305C22×C3×C4—92no—
306C22×Dic3—92no—
307C22×Dic3—92no—
308C2×C4×D3—32no—
309C2×C4×D3—92no—
310C2×C4×D3—92no—
311C2×C4×D3—92no—
312C2×C4×D3—92no—
313C2×C4×D3—92no—
314C2×C4×D3—92no—
315C2×C4×D3—182no—
316C2×C4×D3—188no—
317C2×C4×D3—188no—
318C2×C4×D3C2×D912yescomplemented
319C3×C22⋊C4—21no—
320C3×C22⋊C4—31no—
321C3×C22⋊C4—32no—
322C3×C22⋊C4—91no—
323C3×C22⋊C4—92no—
324C3×C22⋊C4C2×D911yescharacteristic, complemented
325C3×C22⋊C4D3211yescharacteristic
326#217—31no—
327#217—92no—
328#217—91no—
329#217—91no—
330#217—92no—
331#217—181no—
332#217C2×D911yescharacteristic, complemented
333(C2×D3)⋊C4—32no—
334(C2×D3)⋊C4—92no—
335(C2×D3)⋊C4—92no—
336(C2×D3)⋊C4—92no—
337(C2×D3)⋊C4—92no—
338(C2×D3)⋊C4—92no—
339(C2×D3)⋊C4—92no—
340(C2×D3)⋊C4—182no—
341(C2×D3)⋊C4C2×D912yescomplemented
342C22×C32—22no—
343C22×C32C2×C4×D312yes—
344C22×C32C23×D311yescharacteristic
345C2×C3⋊D3—32no—
346C2×C3⋊D3—34no—
347C2×C3⋊D3—32no—
348C2×C3⋊D3—68no—
349C2×C3⋊D3—62no—
350C2×C3×D3—22no—
351C2×C3×D3—28no—
352C2×C3×D3—32no—
353C2×C3×D3—34no—
354C2×C3×D3—32no—
355C2×C3×D3—68no—
356C2×C3×D3—62no—
357C2×C3×D3C2×C4×D312yes—
358C2×C3×D3C2×C4×D312yes—
359C2×C3×D3D3×D414yes—
360D32—316no—
361D32—68no—
362D32—68no—
363D32—68no—
364C32×C4—22no—
365C3⋊Dic3—62no—
366C3×Dic3—22no—
367C3×Dic3—62no—
368C22×C9—22no—
369C22×C9—21no—
370C22×C9—22no—
371C22×C9—32no—
372C22×C9—34no—
373C22×C9—32no—
374C22×C9—42no—
375C22×C9—68no—
376C22×C9—62no—
377C22×C9C2×C4×D312yescomplemented
378C22×C9C23×D311yescharacteristic
379C2×D9—22no—
380C2×D9—28no—
381C2×D9—32no—
382C2×D9—34no—
383C2×D9—316no—
384C2×D9—32no—
385C2×D9—62no—
386C2×D9—64no—
387C2×D9—62no—
388C2×D9—68no—
389C2×D9—68no—
390C2×D9—68no—
391C2×D9—62no—
392C2×D9—68no—
393C2×D9—128no—
394C2×D9—122no—
395C2×D9C2×C4×D312yes—
396C2×D9C2×C4×D312yescomplemented
397C2×D9D3×D414yes—
398C4×C9—22no—
399C4×C9—42no—
400C4×C9—62no—
401Dic9—22no—
402Dic9—62no—
403Dic9—122no—
404C25—271no—
405C23×C4—272no—
406C2×C22⋊C4—31no—
407C2×C22⋊C4—91no—
408C2×C22⋊C4—271no—
409C2×C22⋊C4—272no—
410C2×C22⋊C4—272no—
411C2×C22⋊C4—271no—
412C2×C22⋊C4—272no—
413C2×C22⋊C4—271no—
414C2×C22⋊C4—271no—
415C3×C9C22×C22⋊C411yescharacteristic, complemented, Sylow
416C23×C3—21no—
417C23×C3—31no—
418C23×C3—31no—
419C23×C3—34no—
420C23×C3—64no—
421C23×C3—91no—
422C23×C3—94no—
423C23×C3—91no—
424C23×C3—184no—
425C23×C3C22×D911yescharacteristic
426C23×C3C2×D3211yescharacteristic
427C22×D3—24no—
428C22×D3—31no—
429C22×D3—31no—
430C22×D3—34no—
431C22×D3—64no—
432C22×D3—98no—
433C22×D3—94no—
434C22×D3—94no—
435C22×D3—94no—
436C22×D3—94no—
437C22×D3—91no—
438C22×D3—91no—
439C22×D3—94no—
440C22×D3—98no—
441C22×D3—91no—
442C22×D3—94no—
443C22×D3—91no—
444C22×D3—94no—
445C22×D3—94no—
446C22×D3—94no—
447C22×D3—94no—
448C22×D3—181no—
449C22×D3—181no—
450C22×D3—184no—
451C22×D3—184no—
452C22×D3—1832no—
453C22×D3—184no—
454C22×D3—184no—
455C22×D3—1832no—
456C22×D3—184no—
457C22×D3—184no—
458C22×D3—184no—
459C22×D3—184no—
460C22×D3—184no—
461C22×D3—364no—
462C22×D3C4×D914yescomplemented
463C22×D3C22×D911yescharacteristic
464C22×D3C22×D911yescharacteristic
465C2×C3×C4—22no—
466C2×C3×C4—32no—
467C2×C3×C4—64no—
468C2×C3×C4—92no—
469C2×C3×C4—184no—
470C2×C3×C4C22×D912yescomplemented
471C2×C3×C4C2×D3212yes—
472C2×Dic3—32no—
473C2×Dic3—92no—
474C2×Dic3—92no—
475C2×Dic3—182no—
476C2×Dic3—184no—
477C2×Dic3—184no—
478C2×Dic3C22×D912yescomplemented
479C4×D3—24no—
480C4×D3—64no—
481C4×D3—184no—
482C4×D3—184no—
483C4×D3—184no—
484C4×D3—184no—
485C4×D3—184no—
486C4×D3—184no—
487C4×D3—364no—
488C2×C32—22no—
489C2×C32C22×C4×D311yescharacteristic
490C2×C32C2×D3×D412yes—
491C3⋊D3—34no—
492C3⋊D3—62no—
493C3×D3—22no—
494C3×D3—34no—
495C3×D3—62no—
496C3×D3D3×C22⋊C414yes—
497C2×C9—22no—
498C2×C9—21no—
499C2×C9—22no—
500C2×C9—34no—
501C2×C9—42no—
502C2×C9—62no—
503C2×C9C22×C4×D311yescharacteristic
504C2×C9C2×D3×D412yes—
505D9—22no—
506D9—34no—
507D9—64no—
508D9—62no—
509D9—122no—
510D9D3×C22⋊C414yesdirect product factor
511C24—31no—
512C24—91no—
513C24—271no—
514C24—271no—
515C24—271no—
516C24—271no—
517C24—278no—
518C24—271no—
519C24—548no—
520C22×C4—32no—
521C22×C4—92no—
522C22×C4—272no—
523C22×C4—272no—
524C22×C4—272no—
525C22×C4—272no—
526C22×C4—548no—
527C22⋊C4—31no—
528C22⋊C4—32no—
529C22⋊C4—91no—
530C22⋊C4—92no—
531C22⋊C4—272no—
532C22⋊C4—272no—
533C22⋊C4—272no—
534C22⋊C4—271no—
535C22⋊C4—272no—
536C22⋊C4D3×D911yescharacteristic, direct product factor
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—21no—
540C22×C3—22no—
541C22×C3—32no—
542C22×C3—34no—
543C22×C3—32no—
544C22×C3—42no—
545C22×C3—68no—
546C22×C3—62no—
547C22×C3—92no—
548C22×C3—94no—
549C22×C3—92no—
550C22×C3—188no—
551C22×C3—182no—
552C22×C3C2×C4×D912yescomplemented
553C22×C3C23×D911yescharacteristic
554C22×C3C4×D3212yes—
555C22×C3C22×D3211yescharacteristic
556C2×D3—22no—
557C2×D3—28no—
558C2×D3—32no—
559C2×D3—34no—
560C2×D3—32no—
561C2×D3—68no—
562C2×D3—62no—
563C2×D3—916no—
564C2×D3—92no—
565C2×D3—94no—
566C2×D3—92no—
567C2×D3—94no—
568C2×D3—916no—
569C2×D3—92no—
570C2×D3—92no—
571C2×D3—184no—
572C2×D3—182no—
573C2×D3—182no—
574C2×D3—188no—
575C2×D3—188no—
576C2×D3—188no—
577C2×D3—188no—
578C2×D3—188no—
579C2×D3—188no—
580C2×D3—188no—
581C2×D3—182no—
582C2×D3—182no—
583C2×D3—188no—
584C2×D3—368no—
585C2×D3—362no—
586C2×D3C2×C4×D912yes—
587C2×D3C2×C4×D912yescomplemented
588C2×D3D4×D914yes—
589C3×C4—22no—
590C3×C4—22no—
591C3×C4—42no—
592C3×C4—62no—
593C3×C4—182no—
594Dic3—22no—
595Dic3—62no—
596Dic3—182no—
597Dic3—182no—
598Dic3—362no—
599C32C2×D3×C22⋊C411yescharacteristic
600C9—21no—
601C9C2×D3×C22⋊C411yescharacteristic, complemented
602C23—31no—
603C23—31no—
604C23—34no—
605C23—64no—
606C23—91no—
607C23—91no—
608C23—94no—
609C23—184no—
610C23—278no—
611C23—274no—
612C23—274no—
613C23—274no—
614C23—274no—
615C23—271no—
616C23—271no—
617C23—274no—
618C23—544no—
619C23—544no—
620C23—544no—
621C23—5432no—
622C23—544no—
623C23C2×D3×D911yescharacteristic
624C2×C4—32no—
625C2×C4—64no—
626C2×C4—92no—
627C2×C4—184no—
628C2×C4—272no—
629C2×C4—544no—
630C2×C4—544no—
631C2×C4—544no—
632C2×C4—544no—
633C2×C4C2×D3×D912yescomplemented
634C2×C3—22no—
635C2×C3—22no—
636C2×C3—21no—
637C2×C3—22no—
638C2×C3—34no—
639C2×C3—42no—
640C2×C3—62no—
641C2×C3—94no—
642C2×C3—182no—
643C2×C3C22×C4×D911yescharacteristic
644C2×C3C2×D4×D912yes—
645C2×C3C2×C4×D3211yescharacteristic
646C2×C3D32×D412yes—
647D3—22no—
648D3—34no—
649D3—62no—
650D3—94no—
651D3—94no—
652D3—184no—
653D3—182no—
654D3—182no—
655D3—362no—
656D3C22⋊C4×D914yesdirect product factor
657C22—22no—
658C22—32no—
659C22—34no—
660C22—32no—
661C22—68no—
662C22—62no—
663C22—92no—
664C22—94no—
665C22—92no—
666C22—188no—
667C22—182no—
668C22—2716no—
669C22—272no—
670C22—274no—
671C22—272no—
672C22—548no—
673C22—548no—
674C22—548no—
675C22—548no—
676C22—542no—
677C22C4×D3×D912yescomplemented
678C22C22×D3×D911yescharacteristic
679C4—22no—
680C4—62no—
681C4—182no—
682C4—542no—
683C3—21no—
684C3C2×C22⋊C4×D911yescharacteristic, complemented
685C3D32×C22⋊C411yescharacteristic
686C2—22no—
687C2—34no—
688C2—62no—
689C2—94no—
690C2—182no—
691C2—274no—
692C2—542no—
693C2C2×C4×D3×D911yescharacteristic
694C2D3×D4×D912yes—
subgroupG/H
centerC22C22×D3×D9
commutatorC2×C3×C9C23×C4
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
socleC22×C32C23×D3
prime radicalC23×D3×D9C2
cosocleC22×C3×C9C24
hypercenterC22⋊C4D3×D9
hypocenterC3×C9C22×C22⋊C4
LCSG ▷ C2×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×D3×D9C2semidirect
3. C22⋊C4×C3⋊D9C2semidirect
4. D3×C9×C22⋊C4C2semidirect
5. C3×C22⋊C4×D9C2semidirect
6. D3×#3676C2semidirect
7. #11721274C2semidirect
8. D9×#217C2semidirect
9. #11721048C2semidirect
10. D3×(C2×D9)⋊C4C2semidirect
11. D9×(C2×D3)⋊C4C2semidirect
18. C22×D3×D9C4semidirect
23. C2×C4×C3⋊D9C22semidirect
24. C2×C4×D3×C9C22semidirect
25. C2×C3×C4×D9C22semidirect
26. C2×D3×Dic9C22semidirect
27. C2×(C3⋊D9)⋊C4C22semidirect
28. C2×Dic3×D9C22semidirect
30. C3×C9×C22⋊C4C22semidirect
31. #88551C22semidirect
32. #88536C22semidirect
33. C9×#217C22semidirect
34. C3×#3676C22semidirect
35. C9×(C2×D3)⋊C4C22semidirect
36. C3×(C2×D9)⋊C4C22semidirect
37. (C2×D3)⋊Dic9C22semidirect
38. #88445C22semidirect
39. (C2×D9)⋊Dic3C22semidirect
62. C22⋊C4×D9D3direct (N × H)
65. C22×C3⋊D9C2×C4semidirect
69. C22×D3×C9C2×C4semidirect
73. C22×C3×D9C2×C4semidirect
81. C2×D3×D9C2×C4semidirect
82. C2×D3×D9C2×C4semidirect
83. C2×D3×D9C2×C4semidirect
85. C2×C3×C4×C9C23semidirect
86. C2×C3⋊Dic9C23semidirect
88. C2×C9×Dic3C23semidirect
89. C2×C3×Dic9C23semidirect
140. C2×C4×D9C2×D3semidirect
144. C9×C22⋊C4C2×D3semidirect
148. #3676C2×D3semidirect
153. (C2×D9)⋊C4C2×D3semidirect
155. C22×C3×C9C22×C4semidirect
160. C2×C3⋊D9C22×C4semidirect
165. C2×D3×C9C22×C4semidirect
170. C2×C3×D9C22×C4semidirect
175. D3×D9C22⋊C4direct (N × H)
202. D3×C22⋊C4D9direct (N × H)
259. C22×D9C4×D3semidirect
265. C2×C4×C9C22×D3semidirect
269. C2×Dic9C22×D3semidirect
280. C3⋊D9C2×C22⋊C4semidirect
282. D3×C9C2×C22⋊C4semidirect
284. C3×D9C2×C22⋊C4semidirect
318. C2×C4×D3C2×D9semidirect
324. C3×C22⋊C4C2×D9semidirect
332. #217C2×D9semidirect
341. (C2×D3)⋊C4C2×D9semidirect
377. C22×C9C2×C4×D3semidirect
396. C2×D9C2×C4×D3semidirect
415. C3×C9C22×C22⋊C4semidirect
462. C22×D3C4×D9semidirect
470. C2×C3×C4C22×D9semidirect
478. C2×Dic3C22×D9semidirect
510. D9D3×C22⋊C4direct (N × H)
536. C22⋊C4D3×D9direct (N × H)
552. C22×C3C2×C4×D9semidirect
587. C2×D3C2×C4×D9semidirect
601. C9C2×D3×C22⋊C4semidirect
633. C2×C4C2×D3×D9semidirect
656. D3C22⋊C4×D9direct (N × H)
677. C22C4×D3×D9semidirect
684. C3C2×C22⋊C4×D9semidirect

Maximal subgroups

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

subgroupindex
C23×D3×D92
C2×C4×D3×D92
C22⋊C4×C3⋊D92
D3×C9×C22⋊C42
C3×C22⋊C4×D92
D3×#36762
#117212742
D9×#2172
#117210482
D3×(C2×D9)⋊C42
D9×(C2×D3)⋊C42
D32×C22⋊C43
C2×C22⋊C4×D93