Finite Group Databasebeta

← #13148906

Subgroups — #13148906

Order 1728.

732 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721750C211yesmaximal, characteristic, complemented
2C3×#63458C211yesmaximal, characteristic, complemented
3C9×#890C211yesmaximal, characteristic, complemented
4#11721004C211yesmaximal, characteristic
5#11720997C211yesmaximal, characteristic, complemented
6#11720988C211yesmaximal, characteristic, complemented
7#11720988C211yesmaximal, characteristic, complemented
8#11720985C211yesmaximal, characteristic, complemented
9#11720978C211yesmaximal, characteristic, complemented
10#11720977C211yesmaximal, characteristic, complemented
11D9×Dic3⋊C4C211yesmaximal, characteristic, complemented
12#11720936C211yesmaximal, characteristic, complemented
13#11720926C211yesmaximal, characteristic, complemented
14#11720920C211yesmaximal, characteristic, complemented
15#11720917C211yesmaximal, characteristic, complemented
16#10594454—31nomaximal
17#10589794—31nomaximal
18C2×C4⋊(C3⋊D9)C2211yescharacteristic
19C2×C4×C3⋊D9C2211yescharacteristic
20C2×C3×C4×D9C2211yescharacteristic
21C2×C3×Dic18C2211yescharacteristic
22C2×#6192C2211yescharacteristic
23C2×#6192C2211yescharacteristic
24C2×(C3⋊D9)⋊C4C2211yescharacteristic
25C2×Dic3×D9C2211yescharacteristic
26C2×Dic3×D9C2211yescharacteristic
27C3×C9×C4⋊C4C2211yescharacteristic
28#88536C2211yescharacteristic
29#88536C2211yescharacteristic
30#88536C2211yescharacteristic
31#88534C2211yescharacteristic
32C3×(C2×D9)⋊C4C2211yescharacteristic
33C3×(C2×D9)⋊C4C2211yescharacteristic
34C9×C4⋊Dic3C2211yescharacteristic
35C9×C4⋊Dic3C2211yescharacteristic
36C9×C4⋊Dic3C2211yescharacteristic
37C9×Dic3⋊C4C2211yescharacteristic
38C9×Dic3⋊C4C2211yescharacteristic
39C4×C9×Dic3C2211yescharacteristic
40C3×Dic9⋊C4C2211yescharacteristic
41C3×Dic9⋊C4C2211yescharacteristic
42#88445C2211yescharacteristic
43#88445C2211yescharacteristic
44#88445C2211yescharacteristic
45#88445C2211yescharacteristic
46#88445C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48Dic3⋊Dic9C2211yescharacteristic
49#88442C2211yescharacteristic
50Dic9⋊Dic3C2211yescharacteristic
51Dic9⋊Dic3C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64103—31no—
54C3×#896—31no—
55C3×#890D311yescharacteristic
56#63909—31no—
57#63897—31no—
58#63890—31no—
59#63890—31no—
60#63888—31no—
61#63881—31no—
62#63880—31no—
63D3×Dic3⋊C4—31no—
64#63871—31no—
65#63868—31no—
66#63848—31no—
67#63846—31no—
68C9×#125—31no—
69#63460—31no—
70#63459—31no—
71#63458—31no—
72#63458D311yescharacteristic, complemented
73#63457—31no—
74#63456—31no—
75#63456—31no—
76#63456—31no—
77#63456—31no—
78#63456—61no—
79#63455—31no—
80C4⋊C4×D9—31no—
81#63451—31no—
82#63438—31no—
83C4×D36—31no—
84C22×C3⋊D9C2311yescharacteristic
85C22×C3⋊D9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
87C2×C3×C4×C9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3⋊Dic9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C4⋊(C3⋊D9)—41no—
93C4×C3⋊D9—41no—
94C2×C9×Dic3C2311yescharacteristic
95C2×C9×Dic3C2311yescharacteristic
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C3×Dic9C2311yescharacteristic
99C2×C3×Dic9C2311yescharacteristic
100C2×C3×Dic9C2311yescharacteristic
101C3×C4×D9—41no—
102C3×Dic18—41no—
103#6192—22no—
104#6192—22no—
105(C3⋊D9)⋊C4—41no—
106Dic3×D9—22no—
107Dic3×D9—41no—
108#5692—91no—
109#5645—91no—
110C2×C4⋊(C3⋊D3)—31no—
111C2×C4×C3⋊D3—31no—
112C2×C3×C4×D3—31no—
113C2×C3×Dic6—31no—
114C2×#626—31no—
115C2×#626—31no—
116C2×#624—31no—
117C2×D3×Dic3—31no—
118C2×D3×Dic3—31no—
119C32×C4⋊C4C2×D311yescharacteristic
120#3752—31no—
121#3752—31no—
122#3752—31no—
123#3750—31no—
124C3×(C2×D3)⋊C4—31no—
125C3×(C2×D3)⋊C4—31no—
126C3×C4⋊Dic3C2×D311yescharacteristic
127C3×C4⋊Dic3C2×D311yescharacteristic
128C3×C4⋊Dic3C2×D311yescharacteristic
129C3×Dic3⋊C4—31no—
130C3×Dic3⋊C4—31no—
131C3×Dic3⋊C4C2×D311yescharacteristic
132C3×Dic3⋊C4C2×D311yescharacteristic
133C3×C4×Dic3C2×D311yescharacteristic
134#3724—31no—
135Dic3⋊Dic3—31no—
136Dic3⋊Dic3—31no—
137Dic3⋊Dic3—31no—
138Dic3⋊Dic3—31no—
139#3722—31no—
140#3722—31no—
141#3722—31no—
142#3722—31no—
143#3722—31no—
144Dic32—31no—
145C2×D36—31no—
146C2×D36—31no—
147C2×D36—31no—
148C2×D36—61no—
149C2×C4×D9—31no—
150C2×C4×D9—31no—
151C2×C4×D9—31no—
152C2×C4×D9—31no—
153C2×C4×D9—61no—
154C2×C4×D9C2×D311yescharacteristic
155C2×Dic18C2×D311yescharacteristic
156C9×C4⋊C4—21no—
157C9×C4⋊C4—31no—
158C9×C4⋊C4—31no—
159C9×C4⋊C4—31no—
160C9×C4⋊C4—31no—
161C9×C4⋊C4—31no—
162C9×C4⋊C4C2×D311yescharacteristic
163C42×C9—31no—
164(C2×D9)⋊C4—31no—
165(C2×D9)⋊C4—31no—
166(C2×D9)⋊C4—31no—
167(C2×D9)⋊C4—31no—
168(C2×D9)⋊C4—31no—
169(C2×D9)⋊C4—31no—
170(C2×D9)⋊C4—31no—
171(C2×D9)⋊C4—31no—
172(C2×D9)⋊C4—61no—
173(C2×D9)⋊C4—61no—
174(C2×D9)⋊C4—61no—
175(C2×D9)⋊C4C2×D311yescharacteristic
176(C2×D9)⋊C4C2×D311yescharacteristic
177C4⋊Dic9—31no—
178C4⋊Dic9—31no—
179Dic9⋊C4—31no—
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4—31no—
183Dic9⋊C4—61no—
184Dic9⋊C4C2×D311yescharacteristic
185Dic9⋊C4C2×D311yescharacteristic
186C4×Dic9—31no—
187C22×C3×C9C2411yescharacteristic
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—21no—
195C2×C3×D9—21no—
196C2×C3×D9#4112yes—
197C3×C4×C9—21no—
198C3×C4×C9—21no—
199C3×C4×C9—21no—
200C3⋊Dic9—21no—
201C3⋊Dic9—21no—
202C9×Dic3—21no—
203C9×Dic3—21no—
204C9×Dic3—21no—
205C9×Dic3—21no—
206C3×Dic9—21no—
207C3×Dic9—21no—
208C3×Dic9—21no—
209C3×#125—31no—
210C3×C22⋊Q8—91no—
211#946—91no—
212#946—91no—
213#930—91no—
214C2×Dic3⋊C4—91no—
215#898—91no—
216#898—91no—
217#898—91no—
218#897—91no—
219#896—31no—
220#896—91no—
221#895—91no—
222#894—91no—
223#894—91no—
224#894—91no—
225#894—91no—
226#894—91no—
227#894—91no—
228#894—181no—
229#893—91no—
230D3×C4⋊C4—91no—
231#890—91no—
232#890D911yescharacteristic, complemented
233#889—91no—
234#886—91no—
235#886—91no—
236#67⋊C4—91no—
237#67⋊C4—91no—
238#876—91no—
239C4×D12—91no—
240C22×C3⋊D3—31no—
241C22×C3⋊D3—31no—
242C22×C3×D3—31no—
243C2×C32×C4C22×D311yescharacteristic
244C2×C32×C4C22×D311yescharacteristic
245C2×C32×C4C22×D311yescharacteristic
246C2×C3⋊Dic3—31no—
247C2×C3⋊Dic3—31no—
248C4⋊(C3⋊D3)—121no—
249C4×C3⋊D3—121no—
250C2×C3×Dic3—31no—
251C2×C3×Dic3—31no—
252C2×C3×Dic3—31no—
253C2×C3×Dic3C22×D311yescharacteristic
254C2×C3×Dic3C22×D311yescharacteristic
255C2×C3×Dic3C22×D311yescharacteristic
256C2×C3×Dic3C22×D311yescharacteristic
257C3×C4×D3—121no—
258C3×Dic6—121no—
259#626—62no—
260#626—62no—
261#624—121no—
262D3×Dic3—62no—
263D3×Dic3—121no—
264C22×D9—31no—
265C22×D9—31no—
266C22×D9—61no—
267C22×D9—61no—
268C22×D9C22×D311yescharacteristic
269C2×C4×C9—21no—
270C2×C4×C9—21no—
271C2×C4×C9—21no—
272C2×C4×C9—31no—
273C2×C4×C9—31no—
274C2×C4×C9—31no—
275C2×C4×C9—31no—
276C2×C4×C9C22×D311yescharacteristic
277C2×C4×C9C22×D311yescharacteristic
278C2×C4×C9C22×D311yescharacteristic
279C2×Dic9—31no—
280C2×Dic9—31no—
281C2×Dic9—61no—
282C2×Dic9—61no—
283C2×Dic9C22×D311yescharacteristic
284C2×Dic9C22×D311yescharacteristic
285C2×Dic9C22×D311yescharacteristic
286D36—62no—
287D36—62no—
288D36—121no—
289D36—122no—
290C4×D9—41no—
291C4×D9—62no—
292C4×D9—121no—
293C4×D9—121no—
294C4×D9—121no—
295C4×D9—122no—
296Dic18—41no—
297#539—271noSylow
298C2×C3×C9C2×#4111yescharacteristic
299C2×C3×C9H(5,𝔽2)11yescharacteristic
300C2×C3×C92−1+411yescharacteristic
301C3⋊D9—41no—
302C3⋊D9—41no—
303C3×D9—22no—
304C2×C3×Q8—91no—
305C22×C3×C4—91no—
306C2×#67—91no—
307C2×#67—91no—
308C22×Dic3—91no—
309C22×Dic3—91no—
310C2×D12—91no—
311C2×D12—91no—
312C2×D12—91no—
313C2×D12—91no—
314C2×D12—181no—
315C2×C4×D3—31no—
316C2×C4×D3—91no—
317C2×C4×D3—91no—
318C2×C4×D3—91no—
319C2×C4×D3—91no—
320C2×C4×D3—91no—
321C2×C4×D3—91no—
322C2×C4×D3—181no—
323C2×Dic6—31no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—31no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—91no—
331C3×C4⋊C4—91no—
332C3×C4⋊C4C2×D911yescharacteristic
333C3×C4⋊C4D3211yescharacteristic
334C3×C22⋊C4—91no—
335C3×C22⋊C4—91no—
336C3×C42—31no—
337(C2×D3)⋊C4—31no—
338(C2×D3)⋊C4—31no—
339(C2×D3)⋊C4—91no—
340(C2×D3)⋊C4—91no—
341(C2×D3)⋊C4—91no—
342(C2×D3)⋊C4—91no—
343(C2×D3)⋊C4—91no—
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—
355(C2×D3)⋊C4—181no—
356(C2×D3)⋊C4—181no—
357(C2×D3)⋊C4—181no—
358C4⋊Dic3—91no—
359C4⋊Dic3—91no—
360C4⋊Dic3—91no—
361C4⋊Dic3—91no—
362C4⋊Dic3C2×D911yescharacteristic
363C4⋊Dic3C2×D911yescharacteristic
364C4⋊Dic3C2×D911yescharacteristic
365Dic3⋊C4—31no—
366Dic3⋊C4—31no—
367Dic3⋊C4—91no—
368Dic3⋊C4—91no—
369Dic3⋊C4—91no—
370Dic3⋊C4—91no—
371Dic3⋊C4—91no—
372Dic3⋊C4—91no—
373Dic3⋊C4—91no—
374Dic3⋊C4—91no—
375Dic3⋊C4—181no—
376Dic3⋊C4C2×D911yescharacteristic
377Dic3⋊C4C2×D911yescharacteristic
378C4×Dic3—91no—
379C4×Dic3—91no—
380C4×Dic3C2×D911yescharacteristic
381C22×C32C23×D311yescharacteristic
382C2×C3⋊D3—61no—
383C2×C3⋊D3—61no—
384C2×C3⋊D3—61no—
385C2×C3⋊D3—61no—
386C2×C3⋊D3—61no—
387C2×C3⋊D3—61no—
388C2×C3×D3—32no—
389C2×C3×D3—61no—
390C2×C3×D3—61no—
391C32×C4—21no—
392C32×C4—21no—
393C32×C4—21no—
394C3⋊Dic3—61no—
395C3⋊Dic3—61no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—21no—
399C3×Dic3—21no—
400C3×Dic3—61no—
401C3×Dic3—61no—
402C3×Dic3—61no—
403C22×C9—21no—
404C22×C9C23×D311yescharacteristic
405C2×D9—21no—
406C2×D9—21no—
407C2×D9—62no—
408C2×D9—61no—
409C2×D9—61no—
410C2×D9—61no—
411C2×D9—61no—
412C2×D9—61no—
413C2×D9—61no—
414C2×D9—121no—
415C2×D9—121no—
416C2×D9—121no—
417C2×D9—121no—
418C2×D9—121no—
419C2×D9#23912yes—
420C4×C9—21no—
421C4×C9—21no—
422C4×C9—21no—
423C4×C9—41no—
424C4×C9—41no—
425C4×C9—41no—
426C4×C9—61no—
427C4×C9—61no—
428C4×C9—61no—
429C4×C9—61no—
430Dic9—21no—
431Dic9—21no—
432Dic9—21no—
433Dic9—61no—
434Dic9—61no—
435Dic9—121no—
436Dic9—121no—
437#126—271no—
438#126—271no—
439#125—31no—
440#125—271no—
441#123—271no—
442#123—271no—
443#123—271no—
444#123—271no—
445C22⋊Q8—91no—
446C22⋊Q8—271no—
447C22⋊Q8—271no—
448#121—271no—
449C4×D4—271no—
450C4×D4—271no—
451C2×C4⋊C4—271no—
452C3×C9#53911yescharacteristic, complemented, Sylow
453C23×C3—91no—
454C22×D3—31no—
455C22×D3—91no—
456C22×D3—91no—
457C22×D3—91no—
458C22×D3—91no—
459C22×D3—181no—
460C22×D3—181no—
461C3×Q8—361no—
462C2×C3×C4—21no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—31no—
466C2×C3×C4—31no—
467C2×C3×C4—31no—
468C2×C3×C4—31no—
469C2×C3×C4—91no—
470C2×C3×C4—91no—
471C2×C3×C4—91no—
472C2×C3×C4—361no—
473C2×C3×C4C22×D911yescharacteristic
474C2×C3×C4C22×D911yescharacteristic
475C2×C3×C4C22×D911yescharacteristic
476C2×C3×C4C2×D3211yescharacteristic
477C2×C3×C4C2×D3211yescharacteristic
478C2×C3×C4C2×D3211yescharacteristic
479#67—182no—
480#67—182no—
481C2×Dic3—31no—
482C2×Dic3—31no—
483C2×Dic3—31no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—91no—
487C2×Dic3—91no—
488C2×Dic3—181no—
489C2×Dic3—181no—
490C2×Dic3—182no—
491C2×Dic3—361no—
492C2×Dic3C22×D911yescharacteristic
493C2×Dic3C22×D911yescharacteristic
494C2×Dic3C22×D911yescharacteristic
495C2×Dic3C22×D911yescharacteristic
496D12—182no—
497D12—182no—
498D12—361no—
499D12—361no—
500D12—362no—
501C4×D3—121no—
502C4×D3—182no—
503C4×D3—361no—
504C4×D3—361no—
505C4×D3—361no—
506C4×D3—361no—
507C4×D3—361no—
508C4×D3—362no—
509Dic6—121no—
510C2×C32#100711yescharacteristic
511C2×C32D3×#4111yescharacteristic
512C2×C32#100911yescharacteristic
513C3⋊D3—121no—
514C3⋊D3—121no—
515C3×D3—62no—
516C2×C9—21no—
517C2×C9—21no—
518C2×C9—21no—
519C2×C9#100411yescharacteristic
520C2×C9C2×#23911yescharacteristic
521C2×C9#101011yescharacteristic
522D9—22no—
523D9—122no—
524D9—121no—
525D9—121no—
526D9—241no—
527C2×Q8—91no—
528C2×D4—271no—
529C2×D4—271no—
530C2×D4—271no—
531C22×C4—91no—
532C22×C4—271no—
533C22×C4—271no—
534C22×C4—271no—
535C22×C4—271no—
536C4⋊C4—31no—
537C4⋊C4—31no—
538C4⋊C4—31no—
539C4⋊C4—31no—
540C4⋊C4—31no—
541C4⋊C4—91no—
542C4⋊C4—91no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4—271no—
547C4⋊C4—271no—
548C4⋊C4—271no—
549C4⋊C4D3×D911yescharacteristic
550C22⋊C4—91no—
551C22⋊C4—91no—
552C22⋊C4—271no—
553C22⋊C4—271no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C22⋊C4—271no—
557C22⋊C4—271no—
558C22⋊C4—271no—
559C22⋊C4—271no—
560C42—31no—
561C42—271no—
562C22×C3—21no—
563C22×C3—92no—
564C22×C3—181no—
565C22×C3—181no—
566C22×C3C23×D911yescharacteristic
567C22×C3C22×D3211yescharacteristic
568C2×D3—32no—
569C2×D3—61no—
570C2×D3—61no—
571C2×D3—182no—
572C2×D3—181no—
573C2×D3—181no—
574C2×D3—181no—
575C2×D3—181no—
576C2×D3—181no—
577C2×D3—181no—
578C2×D3—181no—
579C2×D3—181no—
580C2×D3—181no—
581C2×D3—181no—
582C2×D3—181no—
583C2×D3—181no—
584C2×D3—361no—
585C2×D3—361no—
586C2×D3—361no—
587C2×D3—361no—
588C2×D3—361no—
589C3×C4—21no—
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—21no—
595C3×C4—41no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—61no—
599C3×C4—61no—
600C3×C4—61no—
601C3×C4—61no—
602C3×C4—181no—
603C3×C4—181no—
604C3×C4—181no—
605Dic3—21no—
606Dic3—21no—
607Dic3—21no—
608Dic3—21no—
609Dic3—61no—
610Dic3—61no—
611Dic3—61no—
612Dic3—181no—
613Dic3—181no—
614Dic3—181no—
615Dic3—181no—
616Dic3—361no—
617Dic3—361no—
618C32#569211yescharacteristic
619C9—21no—
620C9#564511yescharacteristic, complemented
621C23—91no—
622C23—271no—
623C23—271no—
624Q8—361no—
625D4—542no—
626D4—542no—
627D4—1081no—
628C2×C4—31no—
629C2×C4—31no—
630C2×C4—31no—
631C2×C4—31no—
632C2×C4—91no—
633C2×C4—91no—
634C2×C4—91no—
635C2×C4—271no—
636C2×C4—271no—
637C2×C4—361no—
638C2×C4—542no—
639C2×C4—1081no—
640C2×C4—1081no—
641C2×C4—1081no—
642C2×C4C2×D3×D911yescharacteristic
643C2×C4C2×D3×D911yescharacteristic
644C2×C4C2×D3×D911yescharacteristic
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—182no—
649C2×C3#6371311yescharacteristic
650C2×C3#41×D911yescharacteristic
651C2×C3#6371511yescharacteristic
652C2×C3#6429711yescharacteristic
653C2×C3#6431411yescharacteristic
654C2×C3D3×#23911yescharacteristic
655D3—62no—
656D3—362no—
657D3—361no—
658D3—361no—
659D3—361no—
660D3—361no—
661D3—721no—
662C22—92no—
663C22—181no—
664C22—181no—
665C22—541no—
666C22—541no—
667C22—541no—
668C22—541no—
669C22—541no—
670C22—541no—
671C22C22×D3×D911yescharacteristic
672C4—21no—
673C4—21no—
674C4—21no—
675C4—61no—
676C4—61no—
677C4—61no—
678C4—61no—
679C4—181no—
680C4—181no—
681C4—181no—
682C4—541no—
683C4—541no—
684C3—21no—
685C3#1058979411yescharacteristic, complemented
686C3#1059445411yescharacteristic
687C2—182no—
688C2—1081no—
689C2—1081no—
690C2#1172245811yescharacteristic
691C2#1172250111yescharacteristic
692C2D9×#23911yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C4⋊C4C22
socleC22×C32C23×D3
prime radical#11721004C2
hypercenterC4⋊C4D3×D9
hypocenterC3×C9#539
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C4⋊C4

Complements

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

NH ≅ G/Ntype
1. #11721750C2semidirect
2. C3×#63458C2semidirect
3. C9×#890C2semidirect
5. #11720997C2semidirect
6. #11720988C2semidirect
7. #11720988C2semidirect
8. #11720985C2semidirect
9. #11720978C2semidirect
10. #11720977C2semidirect
11. D9×Dic3⋊C4C2semidirect
12. #11720936C2semidirect
13. #11720926C2semidirect
14. #11720920C2semidirect
15. #11720917C2semidirect
72. #63458D3semidirect
232. #890D9semidirect
452. C3×C9#539semidirect
620. C9#5645semidirect
685. C3#10589794semidirect

Maximal subgroups

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

subgroupindex
#117217502
C3×#634582
C9×#8902
#117210042
#117209972
#117209882
#117209852
#117209782
#117209772
D9×Dic3⋊C42
#117209362
#117209262
#117209202
#117209172
#105944543
#105897943