Finite Group Databasebeta

← #13148857

Subgroups — #13148857

Order 1728.

728 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721752C211yesmaximal, characteristic, complemented
2C3×#63455C211yesmaximal, characteristic, complemented
3C9×#889C211yesmaximal, characteristic, complemented
4C4×#6192C211yesmaximal, characteristic, complemented
5#11720996C211yesmaximal, characteristic, complemented
6#11720988C211yesmaximal, characteristic, complemented
7#11720983C211yesmaximal, characteristic
8#11720981C211yesmaximal, characteristic, complemented
9D9×Dic3⋊C4C211yesmaximal, characteristic, complemented
10#11720947C211yesmaximal, characteristic, complemented
11#11720945C211yesmaximal, characteristic, complemented
12#11720941C211yesmaximal, characteristic, complemented
13#11720938C211yesmaximal, characteristic, complemented
14#11720934C211yesmaximal, characteristic, complemented
15#11720933C211yesmaximal, characteristic, complemented
16#10594407—31nomaximal
17#10589794—31nomaximal
18C2×C4×C3⋊D9C2211yescharacteristic
19C2×#6226C2211yescharacteristic
20C2×C3×D36C2211yescharacteristic
21C2×C3×C4×D9C2211yescharacteristic
22C2×C3×C4×D9C2211yescharacteristic
23C2×#6192C2211yescharacteristic
24C2×#6192C2211yescharacteristic
25C2×Dic3×D9C2211yescharacteristic
26C2×Dic3×D9C2211yescharacteristic
27C3×C9×C4⋊C4C2211yescharacteristic
28#88536C2211yescharacteristic
29#88536C2211yescharacteristic
30#88534C2211yescharacteristic
31#88534C2211yescharacteristic
32C3×(C2×D9)⋊C4C2211yescharacteristic
33C3×(C2×D9)⋊C4C2211yescharacteristic
34C9×C4⋊Dic3C2211yescharacteristic
35C9×Dic3⋊C4C2211yescharacteristic
36C9×Dic3⋊C4C2211yescharacteristic
37C9×Dic3⋊C4C2211yescharacteristic
38C9×Dic3⋊C4C2211yescharacteristic
39C4×C9×Dic3C2211yescharacteristic
40C3×C4×Dic9C2211yescharacteristic
41#88445C2211yescharacteristic
42#88445C2211yescharacteristic
43(C2×D9)⋊Dic3C2211yescharacteristic
44(C2×D9)⋊Dic3C2211yescharacteristic
45(C2×D9)⋊Dic3C2211yescharacteristic
46(C2×D9)⋊Dic3C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48Dic3⋊Dic9C2211yescharacteristic
49#88442C2211yescharacteristic
50#88442C2211yescharacteristic
51Dic9⋊Dic3C2211yescharacteristic
52Dic9⋊Dic3C2211yescharacteristic
53#64105—31no—
54C3×#893—31no—
55C3×#889D311yescharacteristic
56C4×#626—31no—
57#63896—31no—
58#63890—31no—
59#63886—31no—
60#63884—31no—
61D3×Dic3⋊C4—31no—
62#63868—31no—
63#63867—31no—
64#63859—31no—
65#63857—31no—
66#63853—31no—
67#63850—31no—
68C9×#125—31no—
69#63460—31no—
70#63459—31no—
71#63458—31no—
72#63458—31no—
73#63458—61no—
74#63457—31no—
75#63456—31no—
76#63456—31no—
77#63456—31no—
78#63456—31no—
79#63455D311yescharacteristic, complemented
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
92C2×C3⋊Dic9C2311yescharacteristic
93C4×C3⋊D9—41no—
94#6226—41no—
95C2×C9×Dic3C2311yescharacteristic
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C9×Dic3C2311yescharacteristic
99C2×C3×Dic9C2311yescharacteristic
100C2×C3×Dic9C2311yescharacteristic
101C3×D36—22no—
102C3×C4×D9—41no—
103C3×C4×D9—41no—
104#6192—22no—
105#6192—41no—
106Dic3×D9—22no—
107Dic3×D9—41no—
108#5692—91no—
109#5564—91no—
110C2×C4×C3⋊D3—31no—
111C2×#634—31no—
112C2×C3×D12—31no—
113C2×C3×C4×D3—31no—
114C2×C3×C4×D3—31no—
115C2×#626—31no—
116C2×#626—31no—
117C2×D3×Dic3—31no—
118C2×D3×Dic3—31no—
119C32×C4⋊C4C2×D311yescharacteristic
120#3752—31no—
121#3752—31no—
122#3750—31no—
123#3750—31no—
124C3×(C2×D3)⋊C4—31no—
125C3×(C2×D3)⋊C4—31no—
126C3×C4⋊Dic3C2×D311yescharacteristic
127C3×Dic3⋊C4C2×D311yescharacteristic
128C3×Dic3⋊C4C2×D311yescharacteristic
129C3×Dic3⋊C4C2×D311yescharacteristic
130C3×Dic3⋊C4C2×D311yescharacteristic
131C3×C4×Dic3—31no—
132C3×C4×Dic3C2×D311yescharacteristic
133#3724—31no—
134#3724—31no—
135Dic3⋊Dic3—31no—
136Dic3⋊Dic3—31no—
137Dic3⋊Dic3—31no—
138Dic3⋊Dic3—31no—
139#3722—31no—
140#3722—31no—
141(C2×D3)⋊Dic3—31no—
142(C2×D3)⋊Dic3—31no—
143(C2×D3)⋊Dic3—31no—
144(C2×D3)⋊Dic3—31no—
145C2×D36—31no—
146C2×D36—31no—
147C2×D36C2×D311yescharacteristic
148C2×C4×D9—31no—
149C2×C4×D9—31no—
150C2×C4×D9—31no—
151C2×C4×D9—61no—
152C2×C4×D9C2×D311yescharacteristic
153C2×C4×D9C2×D311yescharacteristic
154C2×Dic18—31no—
155C2×Dic18—61no—
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)⋊C4C2×D311yescharacteristic
175(C2×D9)⋊C4C2×D311yescharacteristic
176C4⋊Dic9—31no—
177C4⋊Dic9—31no—
178Dic9⋊C4—31no—
179Dic9⋊C4—31no—
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4—31no—
183Dic9⋊C4—31no—
184Dic9⋊C4—61no—
185Dic9⋊C4—61no—
186C4×Dic9C2×D311yescharacteristic
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—
202C3⋊Dic9—21no—
203C9×Dic3—21no—
204C9×Dic3—21no—
205C9×Dic3—21no—
206C9×Dic3—21no—
207C3×Dic9—21no—
208C3×Dic9—21no—
209C3×#125—31no—
210C3×C4×D4—91no—
211#939—91no—
212#935—91no—
213#929—91no—
214C4×#67—91no—
215#924—91no—
216C2×Dic3⋊C4—91no—
217#898—91no—
218#897—91no—
219#896—91no—
220#896—91no—
221#896—91no—
222#896—181no—
223#895—91no—
224#894—91no—
225#894—91no—
226#894—91no—
227#894—91no—
228#893—31no—
229D3×C4⋊C4—91no—
230#889—91no—
231#889D911yescharacteristic, complemented
232#886—91no—
233#883—91no—
234#879—91no—
235#878—91no—
236#876—91no—
237#876—91no—
238C4×D12—91no—
239#870—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—
248C2×C3⋊Dic3—31no—
249C4×C3⋊D3—121no—
250#634—121no—
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×D12—62no—
258C3×C4×D3—121no—
259C3×C4×D3—121no—
260#626—62no—
261#626—121no—
262D3×Dic3—62no—
263D3×Dic3—121no—
264C22×D9—31no—
265C22×D9—61no—
266C22×D9C22×D311yescharacteristic
267C22×D9C22×D311yescharacteristic
268C2×C4×C9—21no—
269C2×C4×C9—21no—
270C2×C4×C9—21no—
271C2×C4×C9—31no—
272C2×C4×C9—31no—
273C2×C4×C9—31no—
274C2×C4×C9—31no—
275C2×C4×C9C22×D311yescharacteristic
276C2×C4×C9C22×D311yescharacteristic
277C2×C4×C9C22×D311yescharacteristic
278C2×Dic9—31no—
279C2×Dic9—31no—
280C2×Dic9—31no—
281C2×Dic9—61no—
282C2×Dic9—61no—
283C2×Dic9—61no—
284C2×Dic9C22×D311yescharacteristic
285C2×Dic9C22×D311yescharacteristic
286D36—22no—
287D36—62no—
288D36—121no—
289C4×D9—41no—
290C4×D9—41no—
291C4×D9—62no—
292C4×D9—121no—
293C4×D9—122no—
294C4×D9—121no—
295Dic18—121no—
296Dic18—122no—
297#539—271noSylow
298C2×C3×C9C2×#4111yescharacteristic
299C2×C3×C9H(5,𝔽2)11yescharacteristic
300C2×C3×C92−1+411yescharacteristic
301C3⋊D9—41no—
302C3×D9—22no—
303C3×D9—41no—
304C2×C3×D4—91no—
305C22×C3×C4—91no—
306C22×C3×C4—91no—
307C2×#67—91no—
308C2×#67—91no—
309C22×Dic3—91no—
310C22×Dic3—91no—
311C2×D12—31no—
312C2×D12—91no—
313C2×D12—91no—
314C2×C4×D3—31no—
315C2×C4×D3—31no—
316C2×C4×D3—91no—
317C2×C4×D3—91no—
318C2×C4×D3—91no—
319C2×C4×D3—91no—
320C2×C4×D3—181no—
321C2×Dic6—91no—
322C2×Dic6—91no—
323C2×Dic6—181no—
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⋊C4C2×D911yescharacteristic
331C3×C4⋊C4D3211yescharacteristic
332C3×C22⋊C4—91no—
333C3×C22⋊C4—91no—
334C3×C42—31no—
335C3×C42—91no—
336#217—91no—
337#217—91no—
338#217—91no—
339#217—91no—
340(C2×D3)⋊C4—31no—
341(C2×D3)⋊C4—31no—
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—181no—
355(C2×D3)⋊C4—181no—
356C4⋊Dic3—91no—
357C4⋊Dic3—91no—
358C4⋊Dic3—91no—
359C4⋊Dic3—91no—
360C4⋊Dic3C2×D911yescharacteristic
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—91no—
371Dic3⋊C4—91no—
372Dic3⋊C4—91no—
373Dic3⋊C4—181no—
374Dic3⋊C4—181no—
375Dic3⋊C4C2×D911yescharacteristic
376Dic3⋊C4C2×D911yescharacteristic
377Dic3⋊C4C2×D911yescharacteristic
378Dic3⋊C4C2×D911yescharacteristic
379C4×Dic3—31no—
380C4×Dic3C2×D911yescharacteristic
381C22×C32C23×D311yescharacteristic
382C2×C3⋊D3—61no—
383C2×C3⋊D3—61no—
384C2×C3⋊D3—61no—
385C2×C3×D3—32no—
386C2×C3×D3—61no—
387C2×C3×D3—61no—
388C2×C3×D3—61no—
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—61no—
397C3×Dic3—21no—
398C3×Dic3—21no—
399C3×Dic3—21no—
400C3×Dic3—21no—
401C3×Dic3—61no—
402C3×Dic3—61no—
403C22×C9—21no—
404C22×C9C23×D311yescharacteristic
405C2×D9—21no—
406C2×D9—21no—
407C2×D9—21no—
408C2×D9—21no—
409C2×D9—21no—
410C2×D9—62no—
411C2×D9—61no—
412C2×D9—61no—
413C2×D9—61no—
414C2×D9—121no—
415C2×D9—121no—
416C2×D9#23512yes—
417C4×C9—21no—
418C4×C9—21no—
419C4×C9—21no—
420C4×C9—41no—
421C4×C9—41no—
422C4×C9—41no—
423C4×C9—61no—
424C4×C9—61no—
425C4×C9—61no—
426C4×C9—61no—
427Dic9—21no—
428Dic9—21no—
429Dic9—62no—
430Dic9—61no—
431Dic9—61no—
432Dic9—61no—
433Dic9—121no—
434Dic9—121no—
435#126—271no—
436#126—271no—
437#125—31no—
438#125—271no—
439#123—271no—
440#123—271no—
441#123—271no—
442#123—271no—
443C22⋊Q8—271no—
444C22⋊Q8—271no—
445C22⋊Q8—271no—
446#121—271no—
447C4×D4—91no—
448C4×D4—271no—
449C2×C4⋊C4—271no—
450C3×C9#53911yescharacteristic, complemented, Sylow
451C23×C3—91no—
452C23×C3—91no—
453C22×D3—31no—
454C22×D3—31no—
455C22×D3—91no—
456C22×D3—91no—
457C22×D3—181no—
458C3×D4—182no—
459C2×C3×C4—21no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—31no—
463C2×C3×C4—31no—
464C2×C3×C4—31no—
465C2×C3×C4—31no—
466C2×C3×C4—91no—
467C2×C3×C4—91no—
468C2×C3×C4—361no—
469C2×C3×C4—361no—
470C2×C3×C4C22×D911yescharacteristic
471C2×C3×C4C22×D911yescharacteristic
472C2×C3×C4C22×D911yescharacteristic
473C2×C3×C4C2×D3211yescharacteristic
474C2×C3×C4C2×D3211yescharacteristic
475C2×C3×C4C2×D3211yescharacteristic
476#67—182no—
477#67—361no—
478C2×Dic3—31no—
479C2×Dic3—31no—
480C2×Dic3—91no—
481C2×Dic3—91no—
482C2×Dic3—91no—
483C2×Dic3—91no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—181no—
487C2×Dic3—181no—
488C2×Dic3—181no—
489C2×Dic3—182no—
490C2×Dic3—361no—
491C2×Dic3C22×D911yescharacteristic
492C2×Dic3C22×D911yescharacteristic
493C2×Dic3C22×D911yescharacteristic
494C2×Dic3C22×D911yescharacteristic
495D12—62no—
496D12—182no—
497D12—361no—
498C4×D3—121no—
499C4×D3—121no—
500C4×D3—182no—
501C4×D3—361no—
502C4×D3—361no—
503C4×D3—362no—
504C4×D3—361no—
505Dic6—361no—
506Dic6—361no—
507Dic6—362no—
508C2×C32#100711yescharacteristic
509C2×C32D3×#4111yescharacteristic
510C2×C32#100911yescharacteristic
511C3⋊D3—121no—
512C3×D3—62no—
513C3×D3—121no—
514C2×C9—21no—
515C2×C9—21no—
516C2×C9—21no—
517C2×C9C2×#23511yescharacteristic
518C2×C9#100411yescharacteristic
519C2×C9#101011yescharacteristic
520D9—22no—
521D9—41no—
522D9—122no—
523D9—121no—
524C2×Q8—271no—
525C2×D4—91no—
526C2×D4—271no—
527C2×D4—271no—
528C22×C4—91no—
529C22×C4—91no—
530C22×C4—271no—
531C22×C4—271no—
532C22×C4—271no—
533C4⋊C4—31no—
534C4⋊C4—31no—
535C4⋊C4—31no—
536C4⋊C4—31no—
537C4⋊C4—31no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4D3×D911yescharacteristic
547C22⋊C4—91no—
548C22⋊C4—91no—
549C22⋊C4—271no—
550C22⋊C4—271no—
551C22⋊C4—271no—
552C22⋊C4—271no—
553C22⋊C4—271no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C22⋊C4—271no—
557C42—31no—
558C42—91no—
559C22×C3—21no—
560C22×C3—92no—
561C22×C3—181no—
562C22×C3—181no—
563C22×C3—181no—
564C22×C3—181no—
565C22×C3—181no—
566C22×C3C23×D911yescharacteristic
567C22×C3C22×D3211yescharacteristic
568C2×D3—32no—
569C2×D3—61no—
570C2×D3—61no—
571C2×D3—61no—
572C2×D3—61no—
573C2×D3—61no—
574C2×D3—182no—
575C2×D3—181no—
576C2×D3—181no—
577C2×D3—181no—
578C2×D3—181no—
579C2×D3—181no—
580C2×D3—181no—
581C2×D3—361no—
582C2×D3—361no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—21no—
586C3×C4—21no—
587C3×C4—21no—
588C3×C4—21no—
589C3×C4—41no—
590C3×C4—41no—
591C3×C4—41no—
592C3×C4—61no—
593C3×C4—61no—
594C3×C4—61no—
595C3×C4—61no—
596C3×C4—181no—
597C3×C4—181no—
598Dic3—21no—
599Dic3—21no—
600Dic3—21no—
601Dic3—21no—
602Dic3—61no—
603Dic3—61no—
604Dic3—182no—
605Dic3—181no—
606Dic3—181no—
607Dic3—181no—
608Dic3—181no—
609Dic3—181no—
610Dic3—181no—
611Dic3—361no—
612Dic3—361no—
613C32#569211yescharacteristic
614C9—21no—
615C9#556411yescharacteristic, complemented
616C23—91no—
617C23—91no—
618C23—271no—
619Q8—1081no—
620D4—182no—
621D4—542no—
622D4—1081no—
623C2×C4—31no—
624C2×C4—31no—
625C2×C4—31no—
626C2×C4—31no—
627C2×C4—91no—
628C2×C4—91no—
629C2×C4—271no—
630C2×C4—271no—
631C2×C4—271no—
632C2×C4—361no—
633C2×C4—361no—
634C2×C4—542no—
635C2×C4—1081no—
636C2×C4—1081no—
637C2×C4C2×D3×D911yescharacteristic
638C2×C4C2×D3×D911yescharacteristic
639C2×C4C2×D3×D911yescharacteristic
640C2×C3—21no—
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—182no—
644C2×C3—361no—
645C2×C3#6371311yescharacteristic
646C2×C3#41×D911yescharacteristic
647C2×C3#6371511yescharacteristic
648C2×C3D3×#23511yescharacteristic
649C2×C3#6431411yescharacteristic
650C2×C3#6431511yescharacteristic
651D3—62no—
652D3—121no—
653D3—362no—
654D3—361no—
655D3—361no—
656C22—92no—
657C22—181no—
658C22—181no—
659C22—181no—
660C22—181no—
661C22—181no—
662C22—541no—
663C22—541no—
664C22—541no—
665C22C22×D3×D911yescharacteristic
666C4—21no—
667C4—21no—
668C4—21no—
669C4—61no—
670C4—61no—
671C4—61no—
672C4—61no—
673C4—181no—
674C4—181no—
675C4—541no—
676C4—541no—
677C4—541no—
678C3—21no—
679C3#1058979411yescharacteristic, complemented
680C3#1059440711yescharacteristic
681C2—182no—
682C2—361no—
683C2—1081no—
684C2D9×#23511yescharacteristic
685C2#1172250111yescharacteristic
686C2#1172251011yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C4⋊C4C22
socleC22×C32C23×D3
prime radical#11720983C2
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. #11721752C2semidirect
2. C3×#63455C2semidirect
3. C9×#889C2semidirect
4. C4×#6192C2semidirect
5. #11720996C2semidirect
6. #11720988C2semidirect
8. #11720981C2semidirect
9. D9×Dic3⋊C4C2semidirect
10. #11720947C2semidirect
11. #11720945C2semidirect
12. #11720941C2semidirect
13. #11720938C2semidirect
14. #11720934C2semidirect
15. #11720933C2semidirect
79. #63455D3semidirect
231. #889D9semidirect
450. C3×C9#539semidirect
615. C9#5564semidirect
679. C3#10589794semidirect

Maximal subgroups

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

subgroupindex
#117217522
C3×#634552
C9×#8892
C4×#61922
#117209962
#117209882
#117209832
#117209812
D9×Dic3⋊C42
#117209472
#117209452
#117209412
#117209382
#117209342
#117209332
#105944073
#105897943