Finite Group Databasebeta

← D3×#63441 #13148216

Subgroups — D3×#63441 #13148216

Order 1728.

798 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721725C211yesmaximal, characteristic, complemented
2D3×C9×C22⋊C4C211yesmaximal, characteristic
3C3×#63441C211yesmaximal, characteristic, complemented
4D3×#3676C211yesmaximal, characteristic
5D3×#3676C211yesmaximal, characteristic
6#11721247C211yesmaximal, characteristic, complemented
7#11721246C211yesmaximal, characteristic, complemented
8D3×C4⋊Dic9C211yesmaximal, characteristic, complemented
9D3×Dic9⋊C4C211yesmaximal, characteristic, complemented
10D3×Dic9⋊C4C211yesmaximal, characteristic, complemented
11C4×D3×Dic9C211yesmaximal, characteristic, complemented
12#11720966C211yesmaximal, characteristic, complemented
13#11720965C211yesmaximal, characteristic, complemented
14#11720963C211yesmaximal, characteristic, complemented
15#11720962C211yesmaximal, characteristic, complemented
16D3×#879—31nomaximal
17C2×#63441—31nomaximal
18C23×D3×C9C2211yescharacteristic
19C2×C4×D3×C9C2211yescharacteristic
20C2×C4×D3×C9C2211yescharacteristic
21C2×D3×Dic9C2211yescharacteristic
22C2×D3×Dic9C2211yescharacteristic
23C2×D3×Dic9C2211yescharacteristic
24C2×D3×Dic9C2211yescharacteristic
25C3×C9×C22⋊C4C2211yescharacteristic
26#88551C2211yescharacteristic
27#88551C2211yescharacteristic
28C4⋊(C3⋊Dic9)C2211yescharacteristic, complemented
29#88534C2211yescharacteristic, complemented
30#88534C2211yescharacteristic, complemented
31C4×C3⋊Dic9C2211yescharacteristic, complemented
32C9×#217C2211yescharacteristic
33C3×#3676C2211yescharacteristic
34C3×#3676C2211yescharacteristic
35C9×(C2×D3)⋊C4C2211yescharacteristic
36C9×(C2×D3)⋊C4C2211yescharacteristic
37C3×C4⋊Dic9C2211yescharacteristic, complemented
38C3×Dic9⋊C4C2211yescharacteristic, complemented
39C3×Dic9⋊C4C2211yescharacteristic, complemented
40C3×C4×Dic9C2211yescharacteristic, complemented
41(C2×D3)⋊Dic9C2211yescharacteristic
42(C2×D3)⋊Dic9C2211yescharacteristic
43(C2×D3)⋊Dic9C2211yescharacteristic
44(C2×D3)⋊Dic9C2211yescharacteristic
45Dic3⋊Dic9C2211yescharacteristic, complemented
46Dic3⋊Dic9C2211yescharacteristic, complemented
47#88442C2211yescharacteristic, complemented
48#88442C2211yescharacteristic, complemented
49Dic9⋊Dic3C2211yescharacteristic, complemented
50Dic9⋊Dic3C2211yescharacteristic, complemented
51Dic3×Dic9C2211yescharacteristic, complemented
52Dic3×Dic9C2211yescharacteristic, complemented
53#64088—31no—
54C3×D3×C22⋊C4D311yescharacteristic
55C3×#879—31no—
56D3×#217—31no—
57D3×#217—31no—
58#63956—31no—
59#63956—31no—
60D3×C4⋊Dic3—31no—
61D3×Dic3⋊C4—31no—
62D3×Dic3⋊C4—31no—
63C4×D3×Dic3—31no—
64#63862—31no—
65#63861—31no—
66#63859—31no—
67#63858—31no—
68C2×C9×C22⋊C4—31no—
69C2×#3676—31no—
70C2×#3676—31no—
71C2×C4⋊Dic9—31no—
72C2×Dic9⋊C4—31no—
73C2×Dic9⋊C4—31no—
74C2×C4×Dic9—31no—
75#63441—31no—
76#63441—31no—
77#63441—31no—
78#63441—31no—
79#63441—31no—
80#63441—31no—
81#63441—31no—
82#63441—61no—
83#63441D311yescharacteristic, direct product factor
84C23×C3×C9C2311yescharacteristic
85C22×D3×C9—22no—
86C22×D3×C9—22no—
87C22×D3×C9—22no—
88C22×D3×C9C2311yescharacteristic
89C22×D3×C9C2311yescharacteristic
90C2×C3×C4×C9C2311yescharacteristic
91C2×C3×C4×C9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C2×C3⋊Dic9C2311yescharacteristic
95C2×C3⋊Dic9C2311yescharacteristic
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C3×Dic9C2311yescharacteristic
99C2×C3×Dic9C2311yescharacteristic
100C2×C3×Dic9C2311yescharacteristic
101C2×C3×Dic9C2311yescharacteristic
102C4×D3×C9—22no—
103C4×D3×C9—22no—
104D3×Dic9—22no—
105D3×Dic9—22no—
106D3×Dic9—22no—
107D3×Dic9—22no—
108D3×#126—91no—
109C2×#879—91no—
110C23×C3×D3C2×D311yescharacteristic
111C2×C3×C4×D3C2×D311yescharacteristic
112C2×C3×C4×D3C2×D311yescharacteristic
113C2×D3×Dic3—31no—
114C2×D3×Dic3—31no—
115C2×D3×Dic3—31no—
116C2×D3×Dic3—31no—
117C24×C9—31no—
118C32×C22⋊C4C2×D311yescharacteristic
119#3757—31no—
120#3757—31no—
121C4⋊(C3⋊Dic3)—31no—
122#3750—31no—
123#3750—31no—
124C4×C3⋊Dic3—31no—
125C3×#217—31no—
126C3×#217—31no—
127C3×#217C2×D311yescharacteristic
128C3×(C2×D3)⋊C4C2×D311yescharacteristic
129C3×(C2×D3)⋊C4C2×D311yescharacteristic
130C3×C4⋊Dic3—31no—
131C3×Dic3⋊C4—31no—
132C3×Dic3⋊C4—31no—
133C3×C4×Dic3—31no—
134#3724—31no—
135#3724—31no—
136Dic3⋊Dic3—31no—
137Dic3⋊Dic3—31no—
138Dic3⋊Dic3—31no—
139Dic3⋊Dic3—31no—
140(C2×D3)⋊Dic3—31no—
141(C2×D3)⋊Dic3—31no—
142(C2×D3)⋊Dic3—31no—
143(C2×D3)⋊Dic3—31no—
144Dic32—31no—
145Dic32—31no—
146C22×C4×C9—31no—
147C22×C4×C9—31no—
148C22×Dic9—31no—
149C22×Dic9—31no—
150C22×Dic9—31no—
151C22×Dic9—31no—
152C9×C22⋊C4—21no—
153C9×C22⋊C4—31no—
154C9×C22⋊C4—31no—
155C9×C22⋊C4—31no—
156C9×C22⋊C4C2×D311yescharacteristic
157#3676—31no—
158#3676—31no—
159#3676—31no—
160#3676—31no—
161#3676—31no—
162#3676—31no—
163#3676—61no—
164#3676—61no—
165#3676C2×D311yescharacteristic
166#3676C2×D311yescharacteristic
167C4⋊Dic9—31no—
168C4⋊Dic9—31no—
169C4⋊Dic9—31no—
170C4⋊Dic9—61no—
171C4⋊Dic9C2×D311yescharacteristic, complemented
172Dic9⋊C4—31no—
173Dic9⋊C4—31no—
174Dic9⋊C4—31no—
175Dic9⋊C4—31no—
176Dic9⋊C4—31no—
177Dic9⋊C4—31no—
178Dic9⋊C4—61no—
179Dic9⋊C4—61no—
180Dic9⋊C4C2×D311yescharacteristic, complemented
181Dic9⋊C4C2×D311yescharacteristic, complemented
182C4×Dic9—31no—
183C4×Dic9—31no—
184C4×Dic9—31no—
185C4×Dic9—61no—
186C4×Dic9C2×D311yescharacteristic, complemented
187C22×C3×C9—21no—
188C22×C3×C9—21no—
189C22×C3×C9—21no—
190C22×C3×C9C2411yescharacteristic
191C2×D3×C9—21no—
192C2×D3×C9—21no—
193C2×D3×C9—21no—
194C2×D3×C9—44no—
195C2×D3×C9#4112yes—
196C2×D3×C9#4112yes—
197C2×D3×C9#4112yes—
198C3×C4×C9—21no—
199C3×C4×C9—21no—
200C3⋊Dic9—21no—
201C3⋊Dic9—21no—
202C3⋊Dic9—21no—
203C3⋊Dic9—21no—
204C9×Dic3—21no—
205C9×Dic3—21no—
206C3×Dic9—21no—
207C3×Dic9—21no—
208C3×Dic9—21no—
209C3×Dic9—21no—
210C3×#126—91no—
211C2×C3×C22⋊C4—31no—
212C2×#217—91no—
213C2×#217—91no—
214C2×C4⋊Dic3—91no—
215C2×Dic3⋊C4—91no—
216C2×Dic3⋊C4—91no—
217C2×C4×Dic3—91no—
218#898—91no—
219#898—91no—
220#898—91no—
221D3×C4⋊C4—91no—
222D3×C4⋊C4—91no—
223D3×C4⋊C4—91no—
224D3×C22⋊C4—91no—
225D3×C22⋊C4—91no—
226D3×C22⋊C4D911yescharacteristic
227#879—31no—
228#879—91no—
229#879—91no—
230#879—91no—
231#879—91no—
232#879—91no—
233#879—91no—
234#879—91no—
235#879—91no—
236#879—91no—
237#879—91no—
238#879—181no—
239#876—91no—
240C42×D3—91no—
241C23×C32C22×D311yescharacteristic
242C22×C3×D3—22no—
243C22×C3×D3—22no—
244C22×C3×D3—22no—
245C22×C3×D3C22×D311yescharacteristic
246C22×C3×D3C22×D311yescharacteristic
247C2×C32×C4C22×D311yescharacteristic
248C2×C32×C4C22×D311yescharacteristic
249C2×C3⋊Dic3—31no—
250C2×C3⋊Dic3—31no—
251C2×C3⋊Dic3—31no—
252C2×C3⋊Dic3—31no—
253C2×C3×Dic3—31no—
254C2×C3×Dic3—31no—
255C2×C3×Dic3—31no—
256C2×C3×Dic3—31no—
257C2×C3×Dic3C22×D311yescharacteristic
258C2×C3×Dic3C22×D311yescharacteristic
259C3×C4×D3—22no—
260C3×C4×D3—22no—
261D3×Dic3—62no—
262D3×Dic3—62no—
263D3×Dic3—62no—
264D3×Dic3—62no—
265C23×C9—21no—
266C23×C9—31no—
267C23×C9—31no—
268C23×C9—62no—
269C23×C9—62no—
270C23×C9—62no—
271C23×C9C22×D311yescharacteristic
272C2×C4×C9—21no—
273C2×C4×C9—21no—
274C2×C4×C9—31no—
275C2×C4×C9—31no—
276C2×C4×C9—62no—
277C2×C4×C9—62no—
278C2×C4×C9C22×D311yescharacteristic
279C2×C4×C9C22×D311yescharacteristic
280C2×Dic9—31no—
281C2×Dic9—31no—
282C2×Dic9—31no—
283C2×Dic9—31no—
284C2×Dic9—61no—
285C2×Dic9—61no—
286C2×Dic9—61no—
287C2×Dic9—61no—
288C2×Dic9—62no—
289C2×Dic9—62no—
290C2×Dic9—62no—
291C2×Dic9—62no—
292C2×Dic9C22×D311yescharacteristic
293C2×Dic9C22×D311yescharacteristic
294C2×Dic9C22×D311yescharacteristic
295C2×Dic9C22×D311yescharacteristic
296C2×#126—271noSylow
297C2×C3×C9—41no—
298C2×C3×C9C2×#4111yescharacteristic
299C2×C3×C9C2×#4111yescharacteristic
300C2×C3×C9C2×#4111yescharacteristic
301D3×C9—41no—
302D3×C9#12614yescomplemented
303C24×C3—31no—
304C23×D3C2×D911yescharacteristic
305C22×C3×C4—31no—
306C22×C3×C4—31no—
307C22×Dic3—91no—
308C22×Dic3—91no—
309C22×Dic3—91no—
310C22×Dic3—91no—
311C2×C4×D3—91no—
312C2×C4×D3—91no—
313C2×C4×D3—91no—
314C2×C4×D3—91no—
315C2×C4×D3C2×D911yescharacteristic
316C2×C4×D3C2×D911yescharacteristic
317C3×C4⋊C4—91no—
318C3×C4⋊C4—91no—
319C3×C4⋊C4—91no—
320C3×C22⋊C4—21no—
321C3×C22⋊C4—31no—
322C3×C22⋊C4—31no—
323C3×C22⋊C4—31no—
324C3×C22⋊C4—91no—
325C3×C22⋊C4—91no—
326C3×C22⋊C4C2×D911yescharacteristic
327C3×C22⋊C4D3211yescharacteristic
328C3×C42—91no—
329#217—31no—
330#217—31no—
331#217—91no—
332#217—91no—
333#217—91no—
334#217—91no—
335#217—91no—
336#217—91no—
337#217—91no—
338#217—91no—
339#217—181no—
340#217—181no—
341#217C2×D911yescharacteristic
342(C2×D3)⋊C4—91no—
343(C2×D3)⋊C4—91no—
344(C2×D3)⋊C4—91no—
345(C2×D3)⋊C4—91no—
346(C2×D3)⋊C4C2×D911yescharacteristic
347(C2×D3)⋊C4C2×D911yescharacteristic
348C4⋊Dic3—31no—
349C4⋊Dic3—91no—
350C4⋊Dic3—91no—
351C4⋊Dic3—91no—
352C4⋊Dic3—91no—
353C4⋊Dic3—91no—
354C4⋊Dic3—91no—
355C4⋊Dic3—181no—
356Dic3⋊C4—31no—
357Dic3⋊C4—31no—
358Dic3⋊C4—91no—
359Dic3⋊C4—91no—
360Dic3⋊C4—91no—
361Dic3⋊C4—91no—
362Dic3⋊C4—91no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—91no—
366Dic3⋊C4—91no—
367Dic3⋊C4—91no—
368Dic3⋊C4—91no—
369Dic3⋊C4—91no—
370Dic3⋊C4—181no—
371Dic3⋊C4—181no—
372C4×Dic3—31no—
373C4×Dic3—91no—
374C4×Dic3—91no—
375C4×Dic3—91no—
376C4×Dic3—91no—
377C4×Dic3—91no—
378C4×Dic3—91no—
379C4×Dic3—181no—
380C22×C32—21no—
381C22×C32—21no—
382C22×C32—21no—
383C22×C32C23×D311yescharacteristic
384C2×C3×D3—21no—
385C2×C3×D3—21no—
386C2×C3×D3—21no—
387C2×C3×D3—44no—
388C2×C3×D3#23512yes—
389C2×C3×D3#23712yes—
390C2×C3×D3#23712yes—
391C32×C4—21no—
392C32×C4—21no—
393C3⋊Dic3—61no—
394C3⋊Dic3—61no—
395C3⋊Dic3—61no—
396C3⋊Dic3—61no—
397C3×Dic3—21no—
398C3×Dic3—21no—
399C3×Dic3—61no—
400C3×Dic3—61no—
401C3×Dic3—61no—
402C3×Dic3—61no—
403C22×C9—21no—
404C22×C9—21no—
405C22×C9—21no—
406C22×C9—21no—
407C22×C9—32no—
408C22×C9—32no—
409C22×C9—32no—
410C22×C9—41no—
411C22×C9—41no—
412C22×C9—41no—
413C22×C9—61no—
414C22×C9—61no—
415C22×C9—61no—
416C22×C9—124no—
417C22×C9C23×D311yescharacteristic
418C4×C9—21no—
419C4×C9—21no—
420C4×C9—41no—
421C4×C9—41no—
422C4×C9—61no—
423C4×C9—61no—
424Dic9—21no—
425Dic9—21no—
426Dic9—21no—
427Dic9—21no—
428Dic9—61no—
429Dic9—61no—
430Dic9—61no—
431Dic9—61no—
432Dic9—121no—
433Dic9—121no—
434Dic9—121no—
435Dic9—121no—
436#126—91no—
437#126—271no—
438#126—271no—
439#126—271no—
440#126—271no—
441#126—271no—
442#126—271no—
443#126—271no—
444C2×C4⋊C4—271no—
445C2×C4⋊C4—271no—
446C2×C4⋊C4—271no—
447C2×C22⋊C4—31no—
448C2×C22⋊C4—271no—
449C2×C22⋊C4—271no—
450C2×C42—271no—
451C3×C9C2×#12611yescharacteristic, complemented, Sylow
452C23×C3—21no—
453C23×C3—31no—
454C23×C3—31no—
455C23×C3—62no—
456C23×C3—62no—
457C23×C3—62no—
458C23×C3C22×D911yescharacteristic
459C23×C3C2×D3211yescharacteristic
460C22×D3—22no—
461C22×D3—22no—
462C22×D3—22no—
463C22×D3C22×D911yescharacteristic
464C22×D3C22×D911yescharacteristic
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—31no—
468C2×C3×C4—31no—
469C2×C3×C4—62no—
470C2×C3×C4—62no—
471C2×C3×C4—91no—
472C2×C3×C4—91no—
473C2×C3×C4—91no—
474C2×C3×C4—91no—
475C2×C3×C4C22×D911yescharacteristic
476C2×C3×C4C22×D911yescharacteristic
477C2×C3×C4C2×D3211yescharacteristic
478C2×C3×C4C2×D3211yescharacteristic
479C2×Dic3—31no—
480C2×Dic3—31no—
481C2×Dic3—31no—
482C2×Dic3—31no—
483C2×Dic3—91no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—91no—
487C2×Dic3—91no—
488C2×Dic3—91no—
489C2×Dic3—91no—
490C2×Dic3—91no—
491C2×Dic3—181no—
492C2×Dic3—181no—
493C2×Dic3—181no—
494C2×Dic3—181no—
495C2×Dic3—182no—
496C2×Dic3—182no—
497C2×Dic3—182no—
498C2×Dic3—182no—
499C2×Dic3C22×D911yescharacteristic
500C2×Dic3C22×D911yescharacteristic
501C4×D3—22no—
502C4×D3—22no—
503C4×D3—182no—
504C4×D3—182no—
505C4×D3—182no—
506C4×D3—182no—
507C2×C32—41no—
508C2×C32C2×#23511yescharacteristic
509C2×C32C2×#23711yescharacteristic
510C2×C32C2×#23711yescharacteristic
511C3×D3—41no—
512C3×D3#87914yes—
513C2×C9—21no—
514C2×C9—21no—
515C2×C9—21no—
516C2×C9—34no—
517C2×C9—41no—
518C2×C9—81no—
519C2×C9—121no—
520C2×C9D3×#4111yescharacteristic
521C2×C9D3×#4111yescharacteristic
522C2×C9D3×#4111yescharacteristic
523C24—31no—
524C22×C4—31no—
525C22×C4—31no—
526C22×C4—271no—
527C22×C4—271no—
528C22×C4—271no—
529C22×C4—271no—
530C4⋊C4—91no—
531C4⋊C4—91no—
532C4⋊C4—91no—
533C4⋊C4—271no—
534C4⋊C4—271no—
535C4⋊C4—271no—
536C4⋊C4—271no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C4⋊C4—271no—
542C22⋊C4—31no—
543C22⋊C4—31no—
544C22⋊C4—31no—
545C22⋊C4—91no—
546C22⋊C4—91no—
547C22⋊C4—271no—
548C22⋊C4—271no—
549C22⋊C4—271no—
550C22⋊C4—271no—
551C22⋊C4—271no—
552C22⋊C4—271no—
553C22⋊C4D3×D911yescharacteristic
554C42—91no—
555C42—271no—
556C42—271no—
557C42—271no—
558C22×C3—21no—
559C22×C3—21no—
560C22×C3—21no—
561C22×C3—21no—
562C22×C3—21no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—32no—
566C22×C3—32no—
567C22×C3—32no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—61no—
572C22×C3—61no—
573C22×C3—61no—
574C22×C3—124no—
575C22×C3C23×D911yescharacteristic
576C22×C3C22×D3211yescharacteristic
577C2×D3—21no—
578C2×D3—21no—
579C2×D3—21no—
580C2×D3—44no—
581C2×D3#369712yes—
582C2×D3#369912yes—
583C2×D3#369912yes—
584C3×C4—21no—
585C3×C4—21no—
586C3×C4—21no—
587C3×C4—21no—
588C3×C4—41no—
589C3×C4—41no—
590C3×C4—61no—
591C3×C4—61no—
592C3×C4—181no—
593C3×C4—181no—
594C3×C4—181no—
595C3×C4—181no—
596Dic3—21no—
597Dic3—21no—
598Dic3—61no—
599Dic3—61no—
600Dic3—61no—
601Dic3—61no—
602Dic3—181no—
603Dic3—181no—
604Dic3—181no—
605Dic3—181no—
606Dic3—181no—
607Dic3—181no—
608Dic3—181no—
609Dic3—181no—
610Dic3—361no—
611Dic3—361no—
612Dic3—361no—
613Dic3—361no—
614C32C2×#87911yescharacteristic
615C9—21no—
616C9D3×#12611yescharacteristic, complemented
617C23—31no—
618C23—31no—
619C23—62no—
620C23—62no—
621C23—62no—
622C23C2×D3×D911yescharacteristic
623C2×C4—31no—
624C2×C4—31no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—91no—
628C2×C4—91no—
629C2×C4—91no—
630C2×C4—91no—
631C2×C4—271no—
632C2×C4—271no—
633C2×C4—271no—
634C2×C4—271no—
635C2×C4—542no—
636C2×C4—542no—
637C2×C4—542no—
638C2×C4—542no—
639C2×C4C2×D3×D911yescharacteristic
640C2×C4C2×D3×D911yescharacteristic
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—34no—
645C2×C3—41no—
646C2×C3—41no—
647C2×C3—81no—
648C2×C3—121no—
649C2×C3C2×#369711yescharacteristic
650C2×C3C2×#369911yescharacteristic
651C2×C3C2×#369911yescharacteristic
652C2×C3D3×#23511yescharacteristic
653C2×C3D3×#23711yescharacteristic
654C2×C3D3×#23711yescharacteristic
655D3—41no—
656D3#6344114yesdirect product factor
657C22—21no—
658C22—21no—
659C22—21no—
660C22—32no—
661C22—32no—
662C22—32no—
663C22—61no—
664C22—61no—
665C22—61no—
666C22—124no—
667C22C22×D3×D911yescharacteristic
668C4—21no—
669C4—21no—
670C4—61no—
671C4—61no—
672C4—181no—
673C4—181no—
674C4—181no—
675C4—181no—
676C4—541no—
677C4—541no—
678C4—541no—
679C4—541no—
680C3—21no—
681C3C2×#6344111yescharacteristic, complemented
682C3D3×#87911yescharacteristic
683C2—34no—
684C2—41no—
685C2—121no—
686C2D3×#369711yescharacteristic
687C2D3×#369911yescharacteristic
688C2D3×#369911yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
socleC22×C32C23×D3
prime radicalC23×C3×D3C2×D3
hypercenterC22⋊C4D3×D9
hypocenterC3×C9C2×#126
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
1. #11721725C2semidirect
3. C3×#63441C2semidirect
6. #11721247C2semidirect
7. #11721246C2semidirect
8. D3×C4⋊Dic9C2semidirect
9. D3×Dic9⋊C4C2semidirect
10. D3×Dic9⋊C4C2semidirect
11. C4×D3×Dic9C2semidirect
12. #11720966C2semidirect
13. #11720965C2semidirect
14. #11720963C2semidirect
15. #11720962C2semidirect
28. C4⋊(C3⋊Dic9)C22semidirect
29. #88534C22semidirect
30. #88534C22semidirect
31. C4×C3⋊Dic9C22semidirect
37. C3×C4⋊Dic9C22semidirect
38. C3×Dic9⋊C4C22semidirect
39. C3×Dic9⋊C4C22semidirect
40. C3×C4×Dic9C22semidirect
45. Dic3⋊Dic9C22semidirect
46. Dic3⋊Dic9C22semidirect
47. #88442C22semidirect
48. #88442C22semidirect
49. Dic9⋊Dic3C22semidirect
50. Dic9⋊Dic3C22semidirect
51. Dic3×Dic9C22semidirect
52. Dic3×Dic9C22semidirect
83. #63441D3direct (N × H)
171. C4⋊Dic9C2×D3semidirect
180. Dic9⋊C4C2×D3semidirect
181. Dic9⋊C4C2×D3semidirect
186. C4×Dic9C2×D3semidirect
302. D3×C9#126semidirect
451. C3×C9C2×#126semidirect
616. C9D3×#126semidirect
656. D3#63441direct (N × H)
681. C3C2×#63441semidirect

Maximal subgroups

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

subgroupindex
#117217252
D3×C9×C22⋊C42
C3×#634412
D3×#36762
#117212472
#117212462
D3×C4⋊Dic92
D3×Dic9⋊C42
C4×D3×Dic92
#117209662
#117209652
#117209632
#117209622
D3×#8793
C2×#634413