Finite Group Databasebeta

← #13148077

Subgroups — #13148077

Order 1728.

796 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
1#11721727C211yesmaximal, characteristic, complemented
2C9×#885C211yesmaximal, characteristic, complemented
3C3×#63441C211yesmaximal, characteristic, complemented
4#67⋊Dic9C211yesmaximal, characteristic, complemented
5#11721275C211yesmaximal, characteristic, complemented
6#11721262C211yesmaximal, characteristic
7#11721248C211yesmaximal, characteristic, complemented
8#11721014C211yesmaximal, characteristic, complemented
9#11721011C211yesmaximal, characteristic, complemented
10#11720986C211yesmaximal, characteristic, complemented
11C4×(C3⋊D9)⋊C4C211yesmaximal, characteristic, complemented
12#11720963C211yesmaximal, characteristic, complemented
13#11720958C211yesmaximal, characteristic, complemented
14#11720925C211yesmaximal, characteristic, complemented
15#11720911C211yesmaximal, characteristic, complemented
16#10594137—31nomaximal
17#10589782—31nomaximal
18C2×#6233C2211yescharacteristic
19C22×C3⋊Dic9C2211yescharacteristic
20C2×C4×C3⋊D9C2211yescharacteristic
21C2×C9×#67C2211yescharacteristic
22C2×C9×Dic6C2211yescharacteristic
23C2×#6195C2211yescharacteristic
24C2×D3×Dic9C2211yescharacteristic
25C2×(C3⋊D9)⋊C4C2211yescharacteristic
26C2×(C3⋊D9)⋊C4C2211yescharacteristic
27C3×C9×C22⋊C4C2211yescharacteristic
28#88536C2211yescharacteristic
29#88534C2211yescharacteristic
30C4×C3⋊Dic9C2211yescharacteristic
31C9×#217C2211yescharacteristic
32C3×#3676C2211yescharacteristic
33C3×#3676C2211yescharacteristic
34C9×(C2×D3)⋊C4C2211yescharacteristic
35C9×(C2×D3)⋊C4C2211yescharacteristic
36C4×C9×Dic3C2211yescharacteristic
37C3×C4⋊Dic9C2211yescharacteristic
38C3×Dic9⋊C4C2211yescharacteristic
39C3×Dic9⋊C4C2211yescharacteristic
40C3×C4×Dic9C2211yescharacteristic
41(C2×D3)⋊Dic9C2211yescharacteristic
42(C2×D3)⋊Dic9C2211yescharacteristic
43#88445C2211yescharacteristic
44Dic3⋊Dic9C2211yescharacteristic
45Dic3⋊Dic9C2211yescharacteristic
46Dic3⋊Dic9C2211yescharacteristic
47#88442C2211yescharacteristic
48#88442C2211yescharacteristic
49Dic9⋊Dic3C2211yescharacteristic
50Dic3×Dic9C2211yescharacteristic
51Dic3×Dic9C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64090—31no—
54C3×#885D311yescharacteristic
55C3×#879—31no—
56#63975—31no—
57#67⋊Dic3—31no—
58#63958—31no—
59#63957—31no—
60#63888—31no—
61C4×#624—31no—
62#63881—31no—
63#63878—31no—
64#63867—31no—
65#63859—31no—
66#63854—31no—
67#63843—31no—
68C9×#124—31no—
69#63508—31no—
70Q8×Dic9—31no—
71#63500—31no—
72D4×Dic9—31no—
73#63445—31no—
74#63445—31no—
75#611⋊C4—31no—
76#611⋊C4—31no—
77#611⋊C4—61no—
78#63441—31no—
79#63441D311yescharacteristic, complemented
80#63439—31no—
81#63439—31no—
82C42×D9—31no—
83#63432—31no—
84C23×C3×C9C2311yescharacteristic
85C22×C3⋊D9C2311yescharacteristic
86C22×D3×C9C2311yescharacteristic
87C2×C3×C4×C9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89#6233—22no—
90C2×C3⋊Dic9—22no—
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C4×C3⋊D9—22no—
95C9×#67—22no—
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C9×Dic3C2311yescharacteristic
99C2×C3×Dic9C2311yescharacteristic
100C2×C3×Dic9C2311yescharacteristic
101C2×C3×Dic9C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103C9×Dic6—22no—
104#6195—22no—
105D3×Dic9—22no—
106(C3⋊D9)⋊C4—22no—
107(C3⋊D9)⋊C4—22no—
108#5706—91no—
109#5680—91no—
110C2×#638—31no—
111C22×C3⋊Dic3—31no—
112C2×C4×C3⋊D3—31no—
113C2×C3×#67C2×D311yescharacteristic
114C2×C3×Dic6C2×D311yescharacteristic
115C2×#626—31no—
116C2×#624—31no—
117C2×#624—31no—
118C2×D3×Dic3—31no—
119C32×C22⋊C4C2×D311yescharacteristic
120#3752—31no—
121#3750—31no—
122C4×C3⋊Dic3—31no—
123C3×#217—31no—
124C3×#217—31no—
125C3×#217C2×D311yescharacteristic
126C3×(C2×D3)⋊C4C2×D311yescharacteristic
127C3×(C2×D3)⋊C4C2×D311yescharacteristic
128C3×C4⋊Dic3—31no—
129C3×Dic3⋊C4—31no—
130C3×Dic3⋊C4—31no—
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(C2×D3)⋊Dic3—31no—
141(C2×D3)⋊Dic3—31no—
142Dic32—31no—
143Dic32—31no—
144Dic32—31no—
145C2×Q8×C9—31no—
146C2×D4×C9—31no—
147C2×#611—31no—
148C2×#611—31no—
149C2×#611—61no—
150C22×Dic9—31no—
151C22×Dic9—31no—
152C22×Dic9—61no—
153C2×C4×D9—31no—
154C2×C4×D9—31no—
155C2×C4×D9—31no—
156C2×C4×D9—61no—
157C9×C22⋊C4—21no—
158C9×C22⋊C4—31no—
159C9×C22⋊C4—31no—
160C9×C22⋊C4—31no—
161C9×C22⋊C4C2×D311yescharacteristic
162C42×C9—31no—
163#3676—31no—
164#3676—31no—
165#3676C2×D311yescharacteristic
166#3676C2×D311yescharacteristic
167(C2×D9)⋊C4—31no—
168(C2×D9)⋊C4—31no—
169(C2×D9)⋊C4—61no—
170C4⋊Dic9—31no—
171C4⋊Dic9—31no—
172C4⋊Dic9—31no—
173C4⋊Dic9C2×D311yescharacteristic
174Dic9⋊C4—31no—
175Dic9⋊C4—31no—
176Dic9⋊C4—31no—
177Dic9⋊C4—31no—
178Dic9⋊C4—61no—
179Dic9⋊C4C2×D311yescharacteristic
180Dic9⋊C4C2×D311yescharacteristic
181C4×Dic9—31no—
182C4×Dic9—31no—
183C4×Dic9—31no—
184C4×Dic9—31no—
185C4×Dic9—61no—
186C4×Dic9C2×D311yescharacteristic
187C22×C3×C9—21no—
188C22×C3×C9—21no—
189C22×C3×C9—21no—
190C22×C3×C9C2411yescharacteristic
191C2×C3⋊D9—21no—
192C2×C3⋊D9—21no—
193C2×C3⋊D9#4112yes—
194C2×D3×C9—21no—
195C2×D3×C9—21no—
196C2×D3×C9—21no—
197C3×C4×C9—21no—
198C3×C4×C9—21no—
199C3⋊Dic9—21no—
200C3⋊Dic9—21no—
201C3⋊Dic9#4112yes—
202C9×Dic3—21no—
203C9×Dic3—21no—
204C9×Dic3#4112yes—
205C3×Dic9—21no—
206C3×Dic9—21no—
207C3×Dic9—21no—
208C3×Dic9—21no—
209C3×#126—91no—
210C3×#124—31no—
211#946—91no—
212Q8×Dic3—91no—
213#938—91no—
214D4×Dic3—91no—
215#896—91no—
216#894—91no—
217#893—91no—
218#892—91no—
219#889—91no—
220#887—91no—
221#885D911yescharacteristic, complemented
222#884—91no—
223#883—91no—
224#883—91no—
225#883—91no—
226#67⋊C4—91no—
227#67⋊C4—91no—
228#67⋊C4—91no—
229#67⋊C4—91no—
230#67⋊C4—181no—
231#879—31no—
232#879—91no—
233#877—91no—
234#877—91no—
235#877—91no—
236#876—91no—
237C42×D3—91no—
238C42×D3—91no—
239#870—91no—
240C23×C32C22×D311yescharacteristic
241C22×C3⋊D3—31no—
242C22×C3×D3C22×D311yescharacteristic
243C2×C32×C4C22×D311yescharacteristic
244C2×C32×C4C22×D311yescharacteristic
245#638—62no—
246C2×C3⋊Dic3—31no—
247C2×C3⋊Dic3—31no—
248C2×C3⋊Dic3—31no—
249C2×C3⋊Dic3—62no—
250C4×C3⋊D3—62no—
251C3×#67—22no—
252C2×C3×Dic3—31no—
253C2×C3×Dic3—31no—
254C2×C3×Dic3—31no—
255C2×C3×Dic3—31no—
256C2×C3×Dic3C22×D311yescharacteristic
257C2×C3×Dic3C22×D311yescharacteristic
258C2×C3×Dic3C22×D311yescharacteristic
259C3×Dic6—22no—
260#626—62no—
261#624—62no—
262#624—62no—
263D3×Dic3—62no—
264C23×C9—21no—
265C23×C9—31no—
266C23×C9C22×D311yescharacteristic
267C22×D9—31no—
268C22×D9—61no—
269Q8×C9—62no—
270D4×C9—62no—
271C2×C4×C9—21no—
272C2×C4×C9—21no—
273C2×C4×C9—31no—
274C2×C4×C9—31no—
275C2×C4×C9—31no—
276C2×C4×C9C22×D311yescharacteristic
277C2×C4×C9C22×D311yescharacteristic
278#611—62no—
279#611—62no—
280#611—64no—
281C2×Dic9—31no—
282C2×Dic9—31no—
283C2×Dic9—31no—
284C2×Dic9—61no—
285C2×Dic9—61no—
286C2×Dic9—61no—
287C2×Dic9—62no—
288C2×Dic9—62no—
289C2×Dic9—122no—
290C2×Dic9C22×D311yescharacteristic
291C2×Dic9C22×D311yescharacteristic
292C2×Dic9C22×D311yescharacteristic
293C2×Dic9C22×D311yescharacteristic
294C4×D9—62no—
295C4×D9—62no—
296C4×D9—62no—
297C4×D9—122no—
298#529—271noSylow
299C2×C3×C9—41no—
300C2×C3×C9C2×#4111yescharacteristic
301C2×C3×C9C2×#4111yescharacteristic
302C2×C3×C9C2×#4111yescharacteristic
303C3⋊D9—22no—
304D3×C9—41no—
305C2×C3×Q8—31no—
306C2×C3×D4—31no—
307C2×#67—91no—
308C2×#67—91no—
309C2×#67—91no—
310C2×#67—181no—
311C2×#67C2×D911yescharacteristic
312C22×Dic3—91no—
313C22×Dic3—91no—
314C22×Dic3—91no—
315C22×Dic3—181no—
316C2×D12—91no—
317C2×C4×D3—91no—
318C2×C4×D3—91no—
319C2×C4×D3—91no—
320C2×C4×D3—91no—
321C2×C4×D3—91no—
322C2×C4×D3—91no—
323C2×C4×D3—91no—
324C2×C4×D3—181no—
325C2×Dic6C2×D911yescharacteristic
326C3×C4⋊C4—91no—
327C3×C4⋊C4—91no—
328C3×C4⋊C4—91no—
329C3×C22⋊C4—21no—
330C3×C22⋊C4—31no—
331C3×C22⋊C4—31no—
332C3×C22⋊C4—31no—
333C3×C22⋊C4—91no—
334C3×C22⋊C4—91no—
335C3×C22⋊C4C2×D911yescharacteristic
336C3×C22⋊C4D3211yescharacteristic
337C3×C42—31no—
338C3×C42—91no—
339#217—31no—
340#217—31no—
341#217—91no—
342#217—91no—
343#217C2×D911yescharacteristic
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—181no—
351(C2×D3)⋊C4C2×D911yescharacteristic
352(C2×D3)⋊C4C2×D911yescharacteristic
353C4⋊Dic3—31no—
354C4⋊Dic3—91no—
355C4⋊Dic3—91no—
356C4⋊Dic3—91no—
357C4⋊Dic3—91no—
358Dic3⋊C4—31no—
359Dic3⋊C4—31no—
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—
371C4×Dic3—31no—
372C4×Dic3—91no—
373C4×Dic3—91no—
374C4×Dic3—91no—
375C4×Dic3—91no—
376C4×Dic3—91no—
377C4×Dic3—91no—
378C4×Dic3—91no—
379C4×Dic3—91no—
380C4×Dic3—181no—
381C4×Dic3C2×D911yescharacteristic
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—21no—
385C22×C32C23×D311yescharacteristic
386C2×C3⋊D3—32no—
387C2×C3⋊D3—61no—
388C2×C3⋊D3—61no—
389C2×C3×D3—21no—
390C2×C3×D3—21no—
391C2×C3×D3—21no—
392C32×C4—21no—
393C32×C4—21no—
394C3⋊Dic3—32no—
395C3⋊Dic3—61no—
396C3⋊Dic3—61no—
397C3×Dic3—21no—
398C3×Dic3—21no—
399C3×Dic3—61no—
400C3×Dic3—61no—
401C3×Dic3—61no—
402C3×Dic3—61no—
403C3×Dic3#23712yes—
404C22×C9—22no—
405C22×C9—21no—
406C22×C9—21no—
407C22×C9—21no—
408C22×C9—21no—
409C22×C9—41no—
410C22×C9—41no—
411C22×C9—61no—
412C22×C9—61no—
413C22×C9—61no—
414C22×C9C23×D311yescharacteristic
415C2×D9—32no—
416C2×D9—62no—
417C2×D9—61no—
418C2×D9—61no—
419C2×D9—121no—
420C2×D9—121no—
421C4×C9—21no—
422C4×C9—21no—
423C4×C9—32no—
424C4×C9—41no—
425C4×C9—41no—
426C4×C9—61no—
427C4×C9—61no—
428Dic9—21no—
429Dic9—21no—
430Dic9—21no—
431Dic9—21no—
432Dic9—32no—
433Dic9—62no—
434Dic9—62no—
435Dic9—61no—
436Dic9—61no—
437Dic9—121no—
438#126—91no—
439#126—271no—
440#125—271no—
441#124—31no—
442#123—271no—
443#123—271no—
444C22⋊Q8—271no—
445#121—271no—
446C4×Q8—271no—
447C4×D4—271no—
448C4×D4—271no—
449C4×D4—271no—
450#117—271no—
451#117—271no—
452C2×C42—271no—
453C3×C9#52911yescharacteristic, complemented, Sylow
454C23×C3—21no—
455C23×C3—31no—
456C23×C3C22×D911yescharacteristic
457C23×C3C2×D3211yescharacteristic
458C22×D3—91no—
459C22×D3—91no—
460C22×D3—181no—
461C22×D3C22×D911yescharacteristic
462C3×Q8—62no—
463C3×D4—62no—
464C2×C3×C4—21no—
465C2×C3×C4—21no—
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—91no—
473C2×C3×C4C22×D911yescharacteristic
474C2×C3×C4C22×D911yescharacteristic
475C2×C3×C4C2×D3211yescharacteristic
476C2×C3×C4C2×D3211yescharacteristic
477#67—22no—
478#67—182no—
479#67—182no—
480#67—182no—
481#67—184no—
482C2×Dic3—31no—
483C2×Dic3—31no—
484C2×Dic3—31no—
485C2×Dic3—31no—
486C2×Dic3—91no—
487C2×Dic3—91no—
488C2×Dic3—91no—
489C2×Dic3—91no—
490C2×Dic3—91no—
491C2×Dic3—91no—
492C2×Dic3—181no—
493C2×Dic3—181no—
494C2×Dic3—181no—
495C2×Dic3—182no—
496C2×Dic3—182no—
497C2×Dic3—182no—
498C2×Dic3—362no—
499C2×Dic3C22×D911yescharacteristic
500C2×Dic3C22×D911yescharacteristic
501C2×Dic3C22×D911yescharacteristic
502D12—182no—
503C4×D3—182no—
504C4×D3—182no—
505C4×D3—182no—
506C4×D3—182no—
507C4×D3—182no—
508C4×D3—182no—
509C4×D3—182no—
510C4×D3—362no—
511Dic6—22no—
512C2×C32—41no—
513C2×C32C2×#23711yescharacteristic
514C2×C32D3×#4111yescharacteristic
515C2×C32D3×#4111yescharacteristic
516C3⋊D3—62no—
517C3×D3—41no—
518C2×C9—21no—
519C2×C9—21no—
520C2×C9—21no—
521C2×C9—42no—
522C2×C9—41no—
523C2×C9—121no—
524C2×C9D3×#4111yescharacteristic
525C2×C9D3×#4111yescharacteristic
526C2×C9D3×#4111yescharacteristic
527D9—62no—
528D9—122no—
529C2×Q8—31no—
530C2×D4—31no—
531C2×D4—271no—
532C2×D4—271no—
533C22×C4—271no—
534C22×C4—271no—
535C22×C4—271no—
536C22×C4—271no—
537C22×C4—271no—
538C4⋊C4—91no—
539C4⋊C4—91no—
540C4⋊C4—91no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4—271no—
547C4⋊C4—271no—
548C22⋊C4—31no—
549C22⋊C4—31no—
550C22⋊C4—31no—
551C22⋊C4—91no—
552C22⋊C4—91no—
553C22⋊C4—271no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C22⋊C4—271no—
557C22⋊C4D3×D911yescharacteristic
558C42—31no—
559C42—91no—
560C42—271no—
561C42—271no—
562C42—271no—
563C42—271no—
564C22×C3—22no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—21no—
569C22×C3—21no—
570C22×C3—21no—
571C22×C3—21no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—61no—
575C22×C3—61no—
576C22×C3—61no—
577C22×C3C23×D911yescharacteristic
578C22×C3C22×D3211yescharacteristic
579C2×D3—21no—
580C2×D3—21no—
581C2×D3—21no—
582C2×D3—92no—
583C2×D3—92no—
584C2×D3—182no—
585C2×D3—181no—
586C2×D3—181no—
587C2×D3—181no—
588C2×D3—181no—
589C2×D3—361no—
590C2×D3—361no—
591C3×C4—21no—
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—21no—
595C3×C4—32no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—61no—
599C3×C4—61no—
600C3×C4—181no—
601C3×C4—181no—
602C3×C4—181no—
603C3×C4—181no—
604Dic3—21no—
605Dic3—21no—
606Dic3—61no—
607Dic3—61no—
608Dic3—61no—
609Dic3—61no—
610Dic3—92no—
611Dic3—92no—
612Dic3—182no—
613Dic3—182no—
614Dic3—181no—
615Dic3—181no—
616Dic3—181no—
617Dic3—181no—
618Dic3—361no—
619Dic3#369912yes—
620C32#568011yescharacteristic
621C9—21no—
622C9#570611yescharacteristic, complemented
623C23—31no—
624C23—271no—
625C23C2×D3×D911yescharacteristic
626Q8—62no—
627D4—62no—
628D4—542no—
629D4—542no—
630C2×C4—31no—
631C2×C4—31no—
632C2×C4—31no—
633C2×C4—91no—
634C2×C4—91no—
635C2×C4—91no—
636C2×C4—91no—
637C2×C4—271no—
638C2×C4—271no—
639C2×C4—271no—
640C2×C4—542no—
641C2×C4—542no—
642C2×C4—542no—
643C2×C4—542no—
644C2×C4—542no—
645C2×C4C2×D3×D911yescharacteristic
646C2×C4C2×D3×D911yescharacteristic
647C2×C3—21no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—42no—
651C2×C3—41no—
652C2×C3—41no—
653C2×C3—121no—
654C2×C3C2×#369911yescharacteristic
655C2×C3#41×D911yescharacteristic
656C2×C3#41×D911yescharacteristic
657C2×C3#6430611yescharacteristic
658C2×C3D3×#23711yescharacteristic
659C2×C3#6431211yescharacteristic
660D3—41no—
661D3—182no—
662D3—182no—
663D3—362no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—61no—
668C22—61no—
669C22—61no—
670C22—272no—
671C22—541no—
672C22—541no—
673C22C22×D3×D911yescharacteristic
674C4—21no—
675C4—21no—
676C4—32no—
677C4—61no—
678C4—61no—
679C4—181no—
680C4—181no—
681C4—181no—
682C4—181no—
683C4—272no—
684C4—541no—
685C4—541no—
686C3—21no—
687C3#1058978211yescharacteristic, complemented
688C3#1059413711yescharacteristic
689C2—41no—
690C2—121no—
691C2—542no—
692C2#1172247511yescharacteristic
693C2D3×#369911yescharacteristic
694C2#1172249811yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
socleC22×C32C23×D3
prime radical#11721262C2
hypercenterC22⋊C4D3×D9
hypocenterC3×C9#529
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. #11721727C2semidirect
2. C9×#885C2semidirect
3. C3×#63441C2semidirect
4. #67⋊Dic9C2semidirect
5. #11721275C2semidirect
7. #11721248C2semidirect
8. #11721014C2semidirect
9. #11721011C2semidirect
10. #11720986C2semidirect
11. C4×(C3⋊D9)⋊C4C2semidirect
12. #11720963C2semidirect
13. #11720958C2semidirect
14. #11720925C2semidirect
15. #11720911C2semidirect
79. #63441D3semidirect
221. #885D9semidirect
453. C3×C9#529semidirect
622. C9#5706semidirect
687. C3#10589782semidirect

Maximal subgroups

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

subgroupindex
#117217272
C9×#8852
C3×#634412
#67⋊Dic92
#117212752
#117212622
#117212482
#117210142
#117210112
#117209862
C4×(C3⋊D9)⋊C42
#117209632
#117209582
#117209252
#117209112
#105941373
#105897823