Finite Group Databasebeta

← #13153879

Subgroups — #13153879

Order 1728.

1240 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C9×#117C211yesmaximal, characteristic, complemented
2#11721818C211yesmaximal, characteristic, complemented
3C2×#88536C211yesmaximal, characteristic, complemented
4#11721754C211yesmaximal, characteristic, complemented
5#11721752C211yesmaximal, characteristic, complemented
6#11721750C211yesmaximal, characteristic, complemented
7#11721750C211yesmaximal, characteristic, complemented
8#11721728C211yesmaximal, characteristic
9#11721727C211yesmaximal, characteristic, complemented
10C22⋊C4×C3⋊D9C211yesmaximal, characteristic, complemented
11#11721724C211yesmaximal, characteristic, complemented
12#11721713C211yesmaximal, characteristic, complemented
13#11721712C211yesmaximal, characteristic, complemented
14C4×C4⋊(C3⋊D9)C211yesmaximal, characteristic, complemented
15#11721709C211yesmaximal, characteristic, complemented
16#10595998—31nomaximal
17#10589629—33nomaximal
18C23×C3⋊D9C2211yescharacteristic
19C22×C3×C4×C9C2211yescharacteristic
20C2×#6233C2211yescharacteristic
21C22×C3⋊Dic9C2211yescharacteristic
22C2×C4⋊(C3⋊D9)C2211yescharacteristic
23C2×C4⋊(C3⋊D9)C2211yescharacteristic
24C2×C4×C3⋊D9C2211yescharacteristic
25C2×C4×C3⋊D9C2211yescharacteristic
26C2×C4×C3⋊D9C2211yescharacteristic, complemented
27C2×#6226C2211yescharacteristic, complemented
28C3×C9×C4⋊C4C2211yescharacteristic, complemented
29C3×C9×C4⋊C4C2211yescharacteristic, complemented
30C3×C9×C22⋊C4C2211yescharacteristic
31C3×C9×C22⋊C4C2211yescharacteristic
32C3×C42×C9C2211yescharacteristic, complemented
33C3×C42×C9C2211yescharacteristic, complemented
34#88551C2211yescharacteristic
35#88536C2211yescharacteristic
36#88536C2211yescharacteristic
37#88536C2211yescharacteristic
38#88536C2211yescharacteristic
39#88536C2211yescharacteristic
40#88536C2211yescharacteristic
41#88536C2211yescharacteristic
42#88536C2211yescharacteristic
43#88536C2211yescharacteristic, complemented
44#88536C2211yescharacteristic, complemented
45#88536C2211yescharacteristic, complemented
46C4⋊(C3⋊Dic9)C2211yescharacteristic, complemented
47#88534C2211yescharacteristic, complemented
48#88534C2211yescharacteristic, complemented
49#88534C2211yescharacteristic, complemented
50#88534C2211yescharacteristic, complemented
51#88534C2211yescharacteristic, complemented
52C4×C3⋊Dic9C2211yescharacteristic, complemented
53C32×#117D311yescharacteristic
54#64138—31no—
55C2×#3752—31no—
56#64107—31no—
57#64105—31no—
58#64103—31no—
59#64103—31no—
60#64091—31no—
61#64090—31no—
62C22⋊C4×C3⋊D3—31no—
63#64087—31no—
64#64085—31no—
65#64084—31no—
66C4×C4⋊(C3⋊D3)—31no—
67#64081—31no—
68C9×#117D313yescomplemented
69#63491—33no—
70C2×(C2×D9)⋊C4—33no—
71#63460—33no—
72#63458—33no—
73#63456—33no—
74#63456—33no—
75#63444—33no—
76#611⋊C4—33no—
77C22⋊C4×D9—33no—
78#63440—33no—
79#63438—33no—
80#63437—33no—
81C4×D36—33no—
82#63434—33no—
83C23×C3×C9C2311yescharacteristic
84C22×C3⋊D9—22no—
85C22×C3⋊D9—22no—
86C22×C3⋊D9—41no—
87C22×C3⋊D9C2311yescharacteristic
88C22×C3⋊D9C2311yescharacteristic
89C22×C3⋊D9C2311yescharacteristic
90C2×C3×C4×C9—22no—
91C2×C3×C4×C9C2311yescharacteristic
92C2×C3×C4×C9C2311yescharacteristic
93C2×C3×C4×C9C2311yescharacteristic
94C2×C3×C4×C9C2311yescharacteristic
95C2×C3×C4×C9C2311yescharacteristic
96C2×C3×C4×C9C2311yescharacteristic
97#6233—22no—
98C2×C3⋊Dic9—41no—
99C2×C3⋊Dic9C2311yescharacteristic
100C2×C3⋊Dic9C2311yescharacteristic
101C2×C3⋊Dic9C2311yescharacteristic
102C2×C3⋊Dic9C2311yescharacteristic
103C2×C3⋊Dic9C2311yescharacteristic
104C4⋊(C3⋊D9)—22no—
105C4⋊(C3⋊D9)—41no—
106C4×C3⋊D9—22no—
107C4×C3⋊D9—41no—
108C4×C3⋊D9—41no—
109#6226—41no—
110#5527—93no—
111#5527—91no—
112C23×C3⋊D3—31no—
113C22×C32×C4C2×D311yescharacteristic
114C2×#638—31no—
115C22×C3⋊Dic3—31no—
116C2×C4⋊(C3⋊D3)—31no—
117C2×C4⋊(C3⋊D3)—31no—
118C2×C4×C3⋊D3—31no—
119C2×C4×C3⋊D3—31no—
120C2×C4×C3⋊D3—31no—
121C2×#634—31no—
122C23×D9—33no—
123C32×C4⋊C4C2×D311yescharacteristic
124C32×C4⋊C4C2×D311yescharacteristic
125C32×C22⋊C4C2×D311yescharacteristic
126C32×C22⋊C4C2×D311yescharacteristic
127C32×C42C2×D311yescharacteristic
128C32×C42C2×D311yescharacteristic
129#3757—31no—
130#3752—31no—
131#3752—31no—
132#3752—31no—
133#3752—31no—
134#3752—31no—
135#3752—31no—
136#3752—31no—
137#3752—31no—
138#3752—31no—
139#3752—31no—
140#3752—31no—
141C4⋊(C3⋊Dic3)—31no—
142#3750—31no—
143#3750—31no—
144#3750—31no—
145#3750—31no—
146#3750—31no—
147C4×C3⋊Dic3—31no—
148C22×C4×C9C2×D313yes—
149C2×#611—33no—
150C22×Dic9—33no—
151C2×D36—33no—
152C2×D36—33no—
153C2×C4×D9—33no—
154C2×C4×D9—33no—
155C2×C4×D9—33no—
156C2×Dic18—33no—
157C9×C4⋊C4C2×D313yescomplemented
158C9×C4⋊C4C2×D313yescomplemented
159C9×C22⋊C4C2×D313yes—
160C9×C22⋊C4C2×D313yes—
161C42×C9C2×D313yescomplemented
162C42×C9C2×D313yescomplemented
163#3676—33no—
164(C2×D9)⋊C4—33no—
165(C2×D9)⋊C4—33no—
166(C2×D9)⋊C4—33no—
167(C2×D9)⋊C4—33no—
168(C2×D9)⋊C4—33no—
169(C2×D9)⋊C4—33no—
170(C2×D9)⋊C4—33no—
171(C2×D9)⋊C4—33no—
172(C2×D9)⋊C4—33no—
173(C2×D9)⋊C4—33no—
174(C2×D9)⋊C4—33no—
175C4⋊Dic9—33no—
176Dic9⋊C4—33no—
177Dic9⋊C4—33no—
178Dic9⋊C4—33no—
179Dic9⋊C4—33no—
180Dic9⋊C4—33no—
181C4×Dic9—33no—
182C22×C3×C9—21no—
183C22×C3×C9—21no—
184C22×C3×C9#4112yes—
185C22×C3×C9C2411yescharacteristic
186C2×C3⋊D9—21no—
187C2×C3⋊D9—21no—
188C2×C3⋊D9—21no—
189C2×C3⋊D9—21no—
190C2×C3⋊D9—21no—
191C2×C3⋊D9—21no—
192C2×C3⋊D9—21no—
193C2×C3⋊D9—21no—
194C2×C3⋊D9—44no—
195C2×C3⋊D9#4112yes—
196C3×C4×C9—21no—
197C3×C4×C9—21no—
198C3×C4×C9—21no—
199C3×C4×C9—21no—
200C3×C4×C9—21no—
201C3×C4×C9—21no—
202C3⋊Dic9—21no—
203C3⋊Dic9—21no—
204C3⋊Dic9—21no—
205C3⋊Dic9—21no—
206C3⋊Dic9—21no—
207C3×#117D913yescomplemented
208C3×#117C3⋊D311yescharacteristic
209#929—93no—
210#929—91no—
211C2×(C2×D3)⋊C4—93no—
212C2×(C2×D3)⋊C4—91no—
213#898—93no—
214#898—91no—
215#896—93no—
216#896—91no—
217#894—93no—
218#894—93no—
219#894—91no—
220#894—91no—
221#882—93no—
222#882—91no—
223#67⋊C4—93no—
224#67⋊C4—91no—
225D3×C22⋊C4—93no—
226D3×C22⋊C4—91no—
227#878—93no—
228#878—91no—
229#876—93no—
230#876—91no—
231#875—93no—
232#875—91no—
233C4×D12—93no—
234C4×D12—91no—
235#872—93no—
236#872—91no—
237C23×C32C22×D311yescharacteristic
238C22×C3⋊D3—31no—
239C22×C3⋊D3—31no—
240C22×C3⋊D3—31no—
241C22×C3⋊D3—62no—
242C22×C3⋊D3—62no—
243C22×C3⋊D3—121no—
244C2×C32×C4—22no—
245C2×C32×C4C22×D311yescharacteristic
246C2×C32×C4C22×D311yescharacteristic
247C2×C32×C4C22×D311yescharacteristic
248C2×C32×C4C22×D311yescharacteristic
249C2×C32×C4C22×D311yescharacteristic
250C2×C32×C4C22×D311yescharacteristic
251#638—62no—
252C2×C3⋊Dic3—31no—
253C2×C3⋊Dic3—31no—
254C2×C3⋊Dic3—31no—
255C2×C3⋊Dic3—31no—
256C2×C3⋊Dic3—31no—
257C2×C3⋊Dic3—121no—
258C4⋊(C3⋊D3)—62no—
259C4⋊(C3⋊D3)—121no—
260C4×C3⋊D3—62no—
261C4×C3⋊D3—121no—
262C4×C3⋊D3—121no—
263#634—121no—
264C23×C9C22×D313yes—
265C22×D9—33no—
266C22×D9—33no—
267C22×D9—33no—
268C22×D9—66no—
269C22×D9—66no—
270C22×D9—123no—
271C2×C4×C9—26no—
272C2×C4×C9C22×D313yes—
273C2×C4×C9C22×D313yes—
274C2×C4×C9C22×D313yes—
275C2×C4×C9C22×D313yes—
276C2×C4×C9C22×D313yes—
277C2×C4×C9C22×D313yes—
278#611—66no—
279C2×Dic9—33no—
280C2×Dic9—33no—
281C2×Dic9—33no—
282C2×Dic9—33no—
283C2×Dic9—33no—
284C2×Dic9—123no—
285D36—66no—
286D36—123no—
287C4×D9—66no—
288C4×D9—123no—
289C4×D9—123no—
290Dic18—123no—
291#551—271noSylow
292C2×C3×C9—22no—
293C2×C3×C9C2×#4111yescharacteristic
294C2×C3×C9C2×#4111yescharacteristic
295C2×C3×C9H(5,𝔽2)11yescharacteristic
296C3⋊D9—22no—
297C3⋊D9—41no—
298C3⋊D9—41no—
299C23×D3—93no—
300C23×D3—91no—
301C22×C3×C4C2×D913yes—
302C22×C3×C4C2×C3⋊D311yescharacteristic
303C2×#67—93no—
304C2×#67—91no—
305C22×Dic3—93no—
306C22×Dic3—91no—
307C2×D12—93no—
308C2×D12—91no—
309C2×D12—93no—
310C2×D12—91no—
311C2×C4×D3—93no—
312C2×C4×D3—91no—
313C2×C4×D3—93no—
314C2×C4×D3—93no—
315C2×C4×D3—91no—
316C2×C4×D3—91no—
317C2×Dic6—93no—
318C2×Dic6—91no—
319C3×C4⋊C4C2×D913yescomplemented
320C3×C4⋊C4C2×D913yescomplemented
321C3×C4⋊C4C2×C3⋊D311yescharacteristic
322C3×C4⋊C4C2×C3⋊D311yescharacteristic
323C3×C22⋊C4C2×D913yes—
324C3×C22⋊C4C2×D913yes—
325C3×C22⋊C4C2×C3⋊D311yescharacteristic
326C3×C22⋊C4C2×C3⋊D311yescharacteristic
327C3×C42C2×D913yescomplemented
328C3×C42C2×D913yescomplemented
329C3×C42C2×C3⋊D311yescharacteristic
330C3×C42C2×C3⋊D311yescharacteristic
331#217—93no—
332#217—91no—
333(C2×D3)⋊C4—93no—
334(C2×D3)⋊C4—93no—
335(C2×D3)⋊C4—93no—
336(C2×D3)⋊C4—93no—
337(C2×D3)⋊C4—93no—
338(C2×D3)⋊C4—93no—
339(C2×D3)⋊C4—93no—
340(C2×D3)⋊C4—93no—
341(C2×D3)⋊C4—93no—
342(C2×D3)⋊C4—93no—
343(C2×D3)⋊C4—93no—
344(C2×D3)⋊C4—91no—
345(C2×D3)⋊C4—91no—
346(C2×D3)⋊C4—91no—
347(C2×D3)⋊C4—91no—
348(C2×D3)⋊C4—91no—
349(C2×D3)⋊C4—91no—
350(C2×D3)⋊C4—91no—
351(C2×D3)⋊C4—91no—
352(C2×D3)⋊C4—91no—
353(C2×D3)⋊C4—91no—
354(C2×D3)⋊C4—91no—
355C4⋊Dic3—93no—
356C4⋊Dic3—91no—
357Dic3⋊C4—93no—
358Dic3⋊C4—93no—
359Dic3⋊C4—93no—
360Dic3⋊C4—93no—
361Dic3⋊C4—93no—
362Dic3⋊C4—91no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—91no—
366Dic3⋊C4—91no—
367C4×Dic3—93no—
368C4×Dic3—91no—
369C22×C32—21no—
370C22×C32—21no—
371C22×C32#23512yes—
372C22×C32C23×D311yescharacteristic
373C2×C3⋊D3—32no—
374C2×C3⋊D3—61no—
375C2×C3⋊D3—61no—
376C2×C3⋊D3—61no—
377C2×C3⋊D3—61no—
378C2×C3⋊D3—61no—
379C2×C3⋊D3—61no—
380C2×C3⋊D3—61no—
381C2×C3⋊D3—61no—
382C2×C3⋊D3—124no—
383C32×C4—21no—
384C32×C4—21no—
385C32×C4—21no—
386C32×C4—21no—
387C32×C4—21no—
388C32×C4—21no—
389C3⋊Dic3—61no—
390C3⋊Dic3—61no—
391C3⋊Dic3—61no—
392C3⋊Dic3—61no—
393C3⋊Dic3—61no—
394C22×C9—23no—
395C22×C9—23no—
396C22×C9#23516yes—
397C22×C9C23×D313yes—
398C2×D9—36no—
399C2×D9—63no—
400C2×D9—63no—
401C2×D9—63no—
402C2×D9—63no—
403C2×D9—63no—
404C2×D9—63no—
405C2×D9—63no—
406C2×D9—63no—
407C2×D9—1212no—
408C4×C9—23no—
409C4×C9—23no—
410C4×C9—23no—
411C4×C9—23no—
412C4×C9—23no—
413C4×C9—23no—
414Dic9—63no—
415Dic9—63no—
416Dic9—63no—
417Dic9—63no—
418Dic9—63no—
419#126—271no—
420#126—271no—
421#124—271no—
422#123—271no—
423#123—271no—
424#123—271no—
425C22⋊Q8—271no—
426C22⋊Q8—271no—
427#120—271no—
428C4×D4—271no—
429C4×D4—271no—
430#117—271no—
431#117C3⋊D911yescharacteristic, complemented
432C2×C22⋊C4—271no—
433C2×C22⋊C4—271no—
434C3×C9#55111yescharacteristic, complemented, Sylow
435C23×C3C22×D913yes—
436C23×C3C22×C3⋊D311yescharacteristic
437C22×D3—91no—
438C22×D3—93no—
439C22×D3—91no—
440C22×D3—91no—
441C22×D3—93no—
442C22×D3—93no—
443C22×D3—182no—
444C22×D3—186no—
445C22×D3—186no—
446C22×D3—182no—
447C22×D3—361no—
448C22×D3—363no—
449C2×C3×C4—26no—
450C2×C3×C4—22no—
451C2×C3×C4C22×D913yes—
452C2×C3×C4C22×D913yes—
453C2×C3×C4C22×D913yes—
454C2×C3×C4C22×D913yes—
455C2×C3×C4C22×D913yes—
456C2×C3×C4C22×D913yes—
457C2×C3×C4C22×C3⋊D311yescharacteristic
458C2×C3×C4C22×C3⋊D311yescharacteristic
459C2×C3×C4C22×C3⋊D311yescharacteristic
460C2×C3×C4C22×C3⋊D311yescharacteristic
461C2×C3×C4C22×C3⋊D311yescharacteristic
462C2×C3×C4C22×C3⋊D311yescharacteristic
463#67—186no—
464#67—182no—
465C2×Dic3—91no—
466C2×Dic3—91no—
467C2×Dic3—91no—
468C2×Dic3—91no—
469C2×Dic3—91no—
470C2×Dic3—93no—
471C2×Dic3—93no—
472C2×Dic3—93no—
473C2×Dic3—93no—
474C2×Dic3—93no—
475C2×Dic3—361no—
476C2×Dic3—363no—
477D12—182no—
478D12—186no—
479D12—361no—
480D12—363no—
481C4×D3—182no—
482C4×D3—186no—
483C4×D3—361no—
484C4×D3—361no—
485C4×D3—363no—
486C4×D3—363no—
487Dic6—361no—
488Dic6—363no—
489C2×C32—22no—
490C2×C32C2×#23511yescharacteristic
491C2×C32D3×#4111yescharacteristic
492C2×C32#100911yescharacteristic
493C3⋊D3—62no—
494C3⋊D3—121no—
495C3⋊D3—121no—
496C2×C9—26no—
497C2×C9C2×#23513yes—
498C2×C9D3×#4113yes—
499C2×C9#100913yes—
500D9—66no—
501D9—123no—
502D9—123no—
503C24—271no—
504C2×Q8—271no—
505C2×D4—271no—
506C2×D4—271no—
507C2×D4—271no—
508C22×C4—271no—
509C22×C4—271no—
510C22×C4—271no—
511C22×C4—271no—
512C22×C4C2×C3⋊D911yescharacteristic
513C4⋊C4—271no—
514C4⋊C4—271no—
515C4⋊C4—271no—
516C4⋊C4—271no—
517C4⋊C4—271no—
518C4⋊C4—271no—
519C4⋊C4C2×C3⋊D911yescharacteristic, complemented
520C4⋊C4C2×C3⋊D911yescharacteristic, complemented
521C22⋊C4—271no—
522C22⋊C4—271no—
523C22⋊C4—271no—
524C22⋊C4—271no—
525C22⋊C4—271no—
526C22⋊C4—271no—
527C22⋊C4—271no—
528C22⋊C4—271no—
529C22⋊C4—271no—
530C22⋊C4—271no—
531C22⋊C4—271no—
532C22⋊C4—271no—
533C22⋊C4C2×C3⋊D911yescharacteristic
534C22⋊C4C2×C3⋊D911yescharacteristic
535C42—271no—
536C42C2×C3⋊D911yescharacteristic, complemented
537C42C2×C3⋊D911yescharacteristic, complemented
538C22×C3—21no—
539C22×C3—21no—
540C22×C3—23no—
541C22×C3—23no—
542C22×C3#369716yes—
543C22×C3C23×D913yes—
544C22×C3#382812yes—
545C22×C3C23×C3⋊D311yescharacteristic
546C2×D3—92no—
547C2×D3—96no—
548C2×D3—181no—
549C2×D3—181no—
550C2×D3—183no—
551C2×D3—183no—
552C2×D3—181no—
553C2×D3—181no—
554C2×D3—181no—
555C2×D3—181no—
556C2×D3—181no—
557C2×D3—181no—
558C2×D3—183no—
559C2×D3—183no—
560C2×D3—183no—
561C2×D3—183no—
562C2×D3—183no—
563C2×D3—183no—
564C2×D3—364no—
565C2×D3—3612no—
566C3×C4—21no—
567C3×C4—21no—
568C3×C4—21no—
569C3×C4—21no—
570C3×C4—21no—
571C3×C4—21no—
572C3×C4—23no—
573C3×C4—23no—
574C3×C4—23no—
575C3×C4—23no—
576C3×C4—23no—
577C3×C4—23no—
578Dic3—181no—
579Dic3—181no—
580Dic3—181no—
581Dic3—181no—
582Dic3—181no—
583Dic3—183no—
584Dic3—183no—
585Dic3—183no—
586Dic3—183no—
587Dic3—183no—
588C32#552711yescharacteristic
589C9#552713yescomplemented
590C23—271no—
591C23—271no—
592C23—271no—
593C23—542no—
594C23—542no—
595C23—1081no—
596C23C22×C3⋊D911yescharacteristic
597Q8—1081no—
598D4—542no—
599D4—542no—
600D4—1081no—
601C2×C4—22no—
602C2×C4—271no—
603C2×C4—271no—
604C2×C4—271no—
605C2×C4—271no—
606C2×C4—271no—
607C2×C4—542no—
608C2×C4—1081no—
609C2×C4—1081no—
610C2×C4—1081no—
611C2×C4C22×C3⋊D911yescharacteristic
612C2×C4C22×C3⋊D911yescharacteristic
613C2×C4C22×C3⋊D911yescharacteristic
614C2×C4C22×C3⋊D911yescharacteristic
615C2×C4C22×C3⋊D911yescharacteristic
616C2×C4C22×C3⋊D911yescharacteristic
617C2×C3—22no—
618C2×C3—26no—
619C2×C3C2×#369713yes—
620C2×C3#41×D913yes—
621C2×C3#6371513yes—
622C2×C3C2×#382811yescharacteristic
623C2×C3#41×C3⋊D311yescharacteristic
624C2×C3#6436611yescharacteristic
625D3—182no—
626D3—186no—
627D3—361no—
628D3—361no—
629D3—363no—
630D3—363no—
631C22—21no—
632C22—21no—
633C22—272no—
634C22—541no—
635C22—541no—
636C22—541no—
637C22—541no—
638C22—541no—
639C22—541no—
640C22—541no—
641C22—541no—
642C22—1084no—
643C22#8873612yes—
644C22C23×C3⋊D911yescharacteristic
645C4—21no—
646C4—21no—
647C4—21no—
648C4—21no—
649C4—21no—
650C4—21no—
651C4—541no—
652C4—541no—
653C4—541no—
654C4—541no—
655C4—541no—
656C3#1058962913yescomplemented
657C3#1059599811yescharacteristic
658C2—22no—
659C2—542no—
660C2—1081no—
661C2—1081no—
662C2C2×#8873611yescharacteristic
663C2#41×C3⋊D911yescharacteristic
664C2#1172267211yescharacteristic
subgroupG/H
centerC22C23×C3⋊D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C23×C3⋊D3
FittingC3×C9×#117C2
socleC22×C32C23×D3
prime radical#11721728C2
hypercenter#117C3⋊D9
hypocenterC3×C9#551
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ #117

Complements

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

NH ≅ G/Ntype
1. C3×C9×#117C2semidirect
2. #11721818C2semidirect
3. C2×#88536C2semidirect
4. #11721754C2semidirect
5. #11721752C2semidirect
6. #11721750C2semidirect
7. #11721750C2semidirect
9. #11721727C2semidirect
10. C22⋊C4×C3⋊D9C2semidirect
11. #11721724C2semidirect
12. #11721713C2semidirect
13. #11721712C2semidirect
14. C4×C4⋊(C3⋊D9)C2semidirect
15. #11721709C2semidirect
26. C2×C4×C3⋊D9C22semidirect
27. C2×#6226C22semidirect
28. C3×C9×C4⋊C4C22semidirect
29. C3×C9×C4⋊C4C22semidirect
32. C3×C42×C9C22semidirect
33. C3×C42×C9C22semidirect
43. #88536C22semidirect
44. #88536C22semidirect
45. #88536C22semidirect
46. C4⋊(C3⋊Dic9)C22semidirect
47. #88534C22semidirect
48. #88534C22semidirect
49. #88534C22semidirect
50. #88534C22semidirect
51. #88534C22semidirect
52. C4×C3⋊Dic9C22semidirect
68. C9×#117D3semidirect
157. C9×C4⋊C4C2×D3semidirect
158. C9×C4⋊C4C2×D3semidirect
161. C42×C9C2×D3semidirect
162. C42×C9C2×D3semidirect
207. C3×#117D9semidirect
319. C3×C4⋊C4C2×D9semidirect
320. C3×C4⋊C4C2×D9semidirect
327. C3×C42C2×D9semidirect
328. C3×C42C2×D9semidirect
431. #117C3⋊D9semidirect
434. C3×C9#551semidirect
519. C4⋊C4C2×C3⋊D9semidirect
520. C4⋊C4C2×C3⋊D9semidirect
536. C42C2×C3⋊D9semidirect
537. C42C2×C3⋊D9semidirect
589. C9#5527semidirect
656. C3#10589629semidirect

Maximal subgroups

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

subgroupindex
C3×C9×#1172
#117218182
C2×#885362
#117217542
#117217522
#117217502
#117217282
#117217272
C22⋊C4×C3⋊D92
#117217242
#117217132
#117217122
C4×C4⋊(C3⋊D9)2
#117217092
#105959983
#105896293