Finite Group Databasebeta

← #13148167

Subgroups — #13148167

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
2C3×#63448C211yesmaximal, characteristic, complemented
3C9×#878C211yesmaximal, characteristic, complemented
4#11721277C211yesmaximal, characteristic
5#611⋊Dic3C211yesmaximal, characteristic, complemented
6#11721255C211yesmaximal, characteristic, complemented
7C2×Dic3×Dic9C211yesmaximal, characteristic, complemented
8#11721003C211yesmaximal, characteristic, complemented
9#11720978C211yesmaximal, characteristic, complemented
10#11720975C211yesmaximal, characteristic, complemented
11#11720946C211yesmaximal, characteristic, complemented
12#11720922C211yesmaximal, characteristic, complemented
13#11720921C211yesmaximal, characteristic, complemented
14#11720916C211yesmaximal, characteristic, complemented
15#11720911C211yesmaximal, characteristic, complemented
16#10594144—31nomaximal
17#10589726—31nomaximal
18C2×#6233C2211yescharacteristic
19C22×C3⋊Dic9C2211yescharacteristic
20C2×C4×C3⋊D9C2211yescharacteristic
21C2×C3×#611C2211yescharacteristic
22C22×C9×Dic3C2211yescharacteristic
23C22×C3×Dic9C2211yescharacteristic
24C2×C9×Dic6C2211yescharacteristic
25C2×#6192C2211yescharacteristic
26C2×Dic3×D9C2211yescharacteristic
27C3×C9×C22⋊C4C2211yescharacteristic
28#88536C2211yescharacteristic
29#88534C2211yescharacteristic
30C4×C3⋊Dic9C2211yescharacteristic
31C9×#217C2211yescharacteristic
32C3×(C2×D9)⋊C4C2211yescharacteristic
33C3×(C2×D9)⋊C4C2211yescharacteristic
34C9×C4⋊Dic3C2211yescharacteristic
35C9×Dic3⋊C4C2211yescharacteristic
36C9×Dic3⋊C4C2211yescharacteristic
37C3×C4⋊Dic9C2211yescharacteristic
38C3×C4⋊Dic9C2211yescharacteristic
39#88445C2211yescharacteristic
40#88445C2211yescharacteristic
41#88445C2211yescharacteristic
42(C2×D9)⋊Dic3C2211yescharacteristic
43(C2×D9)⋊Dic3C2211yescharacteristic
44Dic3⋊Dic9C2211yescharacteristic
45Dic3⋊Dic9C2211yescharacteristic
46Dic3⋊Dic9C2211yescharacteristic
47Dic9⋊Dic3C2211yescharacteristic
48Dic3×Dic9C2211yescharacteristic
49Dic3×Dic9C2211yescharacteristic
50Dic3×Dic9C2211yescharacteristic
51Dic3×Dic9C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64090—31no—
54C3×#886—31no—
55C3×#878D311yescharacteristic
56#63978—31no—
57#67⋊Dic3—31no—
58#63966—31no—
59C2×Dic32—31no—
60#63907—31no—
61#63881—31no—
62#63878—31no—
63#63858—31no—
64#63849—31no—
65#63848—31no—
66#63846—31no—
67#63843—31no—
68C9×C22⋊Q8—31no—
69#63509—31no—
70Q8×Dic9—31no—
71#63492—31no—
72C2×C4×Dic9—31no—
73#63460—31no—
74#63460—31no—
75#63455—31no—
76#63454—31no—
77#63454—31no—
78#63452—31no—
79#63448—31no—
80#63448D311yescharacteristic, complemented
81#611⋊C4—31no—
82#611⋊C4—31no—
83#611⋊C4—61no—
84C23×C3×C9C2311yescharacteristic
85C22×C3⋊D9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
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—
95C3×#611—22no—
96C2×C9×Dic3—22no—
97C2×C9×Dic3C2311yescharacteristic
98C2×C9×Dic3C2311yescharacteristic
99C2×C9×Dic3C2311yescharacteristic
100C2×C9×Dic3C2311yescharacteristic
101C2×C3×Dic9—22no—
102C2×C3×Dic9C2311yescharacteristic
103C2×C3×Dic9C2311yescharacteristic
104C2×C3×Dic9C2311yescharacteristic
105C9×Dic6—22no—
106#6192—22no—
107Dic3×D9—22no—
108#5649—91no—
109#5624—91no—
110C2×#638—31no—
111C22×C3⋊Dic3—31no—
112C2×C4×C3⋊D3—31no—
113C2×C3×#67—31no—
114C22×C3×Dic3—31no—
115C22×C3×Dic3C2×D311yescharacteristic
116C2×C3×Dic6C2×D311yescharacteristic
117C2×#626—31no—
118C2×D3×Dic3—31no—
119C32×C22⋊C4C2×D311yescharacteristic
120#3752—31no—
121#3750—31no—
122C4×C3⋊Dic3—31no—
123C3×#217C2×D311yescharacteristic
124C3×(C2×D3)⋊C4—31no—
125C3×(C2×D3)⋊C4—31no—
126C3×C4⋊Dic3—31no—
127C3×C4⋊Dic3—31no—
128C3×C4⋊Dic3C2×D311yescharacteristic
129C3×Dic3⋊C4C2×D311yescharacteristic
130C3×Dic3⋊C4C2×D311yescharacteristic
131Dic3⋊Dic3—31no—
132Dic3⋊Dic3—31no—
133Dic3⋊Dic3—31no—
134Dic3⋊Dic3—31no—
135#3722—31no—
136#3722—31no—
137#3722—31no—
138(C2×D3)⋊Dic3—31no—
139(C2×D3)⋊Dic3—31no—
140Dic32—31no—
141Dic32—31no—
142Dic32—31no—
143Dic32—31no—
144Dic32—31no—
145C2×Q8×C9—31no—
146C22×C4×C9—31no—
147C2×#611—31no—
148C2×#611—61no—
149C2×#611C2×D311yescharacteristic
150C22×Dic9—31no—
151C22×Dic9—61no—
152C22×Dic9C2×D311yescharacteristic
153C2×D36—31no—
154C2×C4×D9—31no—
155C2×C4×D9—31no—
156C2×C4×D9—61no—
157C9×C4⋊C4—31no—
158C9×C4⋊C4—31no—
159C9×C4⋊C4—31no—
160C9×C22⋊C4—21no—
161C9×C22⋊C4—31no—
162C9×C22⋊C4C2×D311yescharacteristic
163(C2×D9)⋊C4—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—61no—
170(C2×D9)⋊C4C2×D311yescharacteristic
171(C2×D9)⋊C4C2×D311yescharacteristic
172C4⋊Dic9—31no—
173C4⋊Dic9—31no—
174C4⋊Dic9—31no—
175C4⋊Dic9C2×D311yescharacteristic
176C4⋊Dic9C2×D311yescharacteristic
177Dic9⋊C4—31no—
178Dic9⋊C4—31no—
179Dic9⋊C4—61no—
180C4×Dic9—31no—
181C4×Dic9—31no—
182C4×Dic9—31no—
183C4×Dic9—31no—
184C4×Dic9—31no—
185C4×Dic9—31no—
186C4×Dic9—61no—
187C22×C3×C9—21no—
188C22×C3×C9—21no—
189C22×C3×C9#4112yes—
190C22×C3×C9C2411yescharacteristic
191C2×C3⋊D9—21no—
192C2×C3⋊D9—21no—
193C2×C3⋊D9—21no—
194C2×C3×D9—21no—
195C2×C3×D9—21no—
196C2×C3×D9—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—21no—
205C9×Dic3#4112yes—
206C3×Dic9—21no—
207C3×Dic9—21no—
208C3×Dic9—21no—
209C3×#123—91no—
210C3×C22⋊Q8—31no—
211#947—91no—
212Q8×Dic3—91no—
213#939—91no—
214D4×Dic3—91no—
215#930—91no—
216#929—91no—
217C2×C4×Dic3—91no—
218C2×C4×Dic3—91no—
219#898—91no—
220#898—91no—
221#898—91no—
222#893—91no—
223#892—91no—
224#892—91no—
225#892—91no—
226#890—91no—
227#889—91no—
228#887—91no—
229#886—31no—
230#886—91no—
231#885—91no—
232#67⋊C4—91no—
233#67⋊C4—91no—
234#67⋊C4—91no—
235#67⋊C4—91no—
236#67⋊C4—181no—
237#879—91no—
238#878D911yescharacteristic, complemented
239#877—91no—
240C23×C32C22×D311yescharacteristic
241C22×C3⋊D3—31no—
242C22×C3×D3—31no—
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—62no—
252C2×C3×Dic3—22no—
253C2×C3×Dic3—31no—
254C2×C3×Dic3—31no—
255C2×C3×Dic3—31no—
256C2×C3×Dic3—62no—
257C2×C3×Dic3C22×D311yescharacteristic
258C2×C3×Dic3C22×D311yescharacteristic
259C2×C3×Dic3C22×D311yescharacteristic
260C2×C3×Dic3C22×D311yescharacteristic
261C3×Dic6—22no—
262#626—62no—
263D3×Dic3—62no—
264C23×C9—21no—
265C23×C9C22×D311yescharacteristic
266C22×D9—31no—
267C22×D9—61no—
268C22×D9C22×D311yescharacteristic
269Q8×C9—62no—
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×C9—62no—
277C2×C4×C9C22×D311yescharacteristic
278C2×C4×C9C22×D311yescharacteristic
279#611—22no—
280#611—64no—
281#611—62no—
282C2×Dic9—22no—
283C2×Dic9—31no—
284C2×Dic9—31no—
285C2×Dic9—31no—
286C2×Dic9—61no—
287C2×Dic9—61no—
288C2×Dic9—61no—
289C2×Dic9—62no—
290C2×Dic9—122no—
291C2×Dic9C22×D311yescharacteristic
292C2×Dic9C22×D311yescharacteristic
293C2×Dic9C22×D311yescharacteristic
294D36—62no—
295C4×D9—62no—
296C4×D9—62no—
297C4×D9—122no—
298#529—271noSylow
299C2×C3×C9—22no—
300C2×C3×C9C2×#4111yescharacteristic
301C2×C3×C9C2×#4111yescharacteristic
302C2×C3×C9C2×#4111yescharacteristic
303C3⋊D9—41no—
304C3×D9—41no—
305C2×C3×Q8—31no—
306C2×C3×D4—91no—
307C22×C3×C4—31no—
308C22×C3×C4—91no—
309C2×#67—31no—
310C2×#67—91no—
311C2×#67—91no—
312C2×#67—91no—
313C2×#67—181no—
314C22×Dic3—31no—
315C22×Dic3—91no—
316C22×Dic3—91no—
317C22×Dic3—91no—
318C22×Dic3—181no—
319C22×Dic3C2×D911yescharacteristic
320C2×D12—91no—
321C2×C4×D3—91no—
322C2×C4×D3—91no—
323C2×C4×D3—91no—
324C2×C4×D3—181no—
325C2×Dic6C2×D911yescharacteristic
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—91no—
330C3×C4⋊C4—91no—
331C3×C22⋊C4—21no—
332C3×C22⋊C4—31no—
333C3×C22⋊C4—91no—
334C3×C22⋊C4—91no—
335C3×C22⋊C4C2×D911yescharacteristic
336C3×C22⋊C4D3211yescharacteristic
337#217—91no—
338#217—91no—
339#217C2×D911yescharacteristic
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—181no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—91no—
356C4⋊Dic3—91no—
357C4⋊Dic3—91no—
358C4⋊Dic3—91no—
359C4⋊Dic3C2×D911yescharacteristic
360Dic3⋊C4—91no—
361Dic3⋊C4—91no—
362Dic3⋊C4—91no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—91no—
366Dic3⋊C4—181no—
367Dic3⋊C4C2×D911yescharacteristic
368Dic3⋊C4C2×D911yescharacteristic
369C4×Dic3—91no—
370C4×Dic3—91no—
371C4×Dic3—91no—
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—91no—
381C4×Dic3—181no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32#23912yes—
385C22×C32C23×D311yescharacteristic
386C2×C3⋊D3—61no—
387C2×C3⋊D3—61no—
388C2×C3⋊D3—61no—
389C2×C3×D3—61no—
390C2×C3×D3—61no—
391C2×C3×D3—61no—
392C32×C4—21no—
393C32×C4—21no—
394C3⋊Dic3—32no—
395C3⋊Dic3—61no—
396C3⋊Dic3—61no—
397C3×Dic3—21no—
398C3×Dic3—21no—
399C3×Dic3—21no—
400C3×Dic3—61no—
401C3×Dic3—61no—
402C3×Dic3—61no—
403C3×Dic3#23712yes—
404C22×C9—21no—
405C22×C9—21no—
406C22×C9—21no—
407C22×C9—22no—
408C22×C9—41no—
409C22×C9—41no—
410C22×C9#23712yes—
411C22×C9C23×D311yescharacteristic
412C2×D9—21no—
413C2×D9—21no—
414C2×D9—21no—
415C2×D9—62no—
416C2×D9—61no—
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—
428C4×C9—61no—
429Dic9—21no—
430Dic9—21no—
431Dic9—21no—
432Dic9—32no—
433Dic9—62no—
434Dic9—62no—
435Dic9—61no—
436Dic9—61no—
437Dic9—121no—
438#126—271no—
439#126—271no—
440#125—271no—
441#124—271no—
442#123—91no—
443#123—271no—
444C22⋊Q8—31no—
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—91no—
456C23×C3C22×D911yescharacteristic
457C23×C3C2×D3211yescharacteristic
458C22×D3—31no—
459C22×D3—91no—
460C22×D3—91no—
461C22×D3—181no—
462C3×Q8—62no—
463C3×D4—182no—
464C2×C3×C4—21no—
465C2×C3×C4—21no—
466C2×C3×C4—31no—
467C2×C3×C4—31no—
468C2×C3×C4—31no—
469C2×C3×C4—31no—
470C2×C3×C4—62no—
471C2×C3×C4—91no—
472C2×C3×C4—91no—
473C2×C3×C4—91no—
474C2×C3×C4—182no—
475C2×C3×C4C22×D911yescharacteristic
476C2×C3×C4C22×D911yescharacteristic
477C2×C3×C4C2×D3211yescharacteristic
478C2×C3×C4C2×D3211yescharacteristic
479#67—62no—
480#67—184no—
481#67—182no—
482#67—182no—
483#67—182no—
484C2×Dic3—22no—
485C2×Dic3—31no—
486C2×Dic3—31no—
487C2×Dic3—31no—
488C2×Dic3—62no—
489C2×Dic3—91no—
490C2×Dic3—91no—
491C2×Dic3—91no—
492C2×Dic3—91no—
493C2×Dic3—91no—
494C2×Dic3—91no—
495C2×Dic3—181no—
496C2×Dic3—181no—
497C2×Dic3—181no—
498C2×Dic3—182no—
499C2×Dic3—182no—
500C2×Dic3—182no—
501C2×Dic3—362no—
502C2×Dic3C22×D911yescharacteristic
503C2×Dic3C22×D911yescharacteristic
504C2×Dic3C22×D911yescharacteristic
505C2×Dic3C22×D911yescharacteristic
506D12—182no—
507C4×D3—182no—
508C4×D3—182no—
509C4×D3—182no—
510C4×D3—362no—
511Dic6—22no—
512C2×C32—22no—
513C2×C32C2×#23711yescharacteristic
514C2×C32C2×#23911yescharacteristic
515C2×C32D3×#4111yescharacteristic
516C3⋊D3—121no—
517C3×D3—121no—
518C2×C9—22no—
519C2×C9—21no—
520C2×C9—21no—
521C2×C9—21no—
522C2×C9—42no—
523C2×C9C2×#23711yescharacteristic
524C2×C9D3×#4111yescharacteristic
525C2×C9D3×#4111yescharacteristic
526D9—41no—
527D9—122no—
528D9—121no—
529C2×Q8—31no—
530C2×D4—91no—
531C2×D4—271no—
532C2×D4—271no—
533C22×C4—31no—
534C22×C4—91no—
535C22×C4—271no—
536C22×C4—271no—
537C22×C4—271no—
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—
548C22⋊C4—31no—
549C22⋊C4—91no—
550C22⋊C4—91no—
551C22⋊C4—271no—
552C22⋊C4—271no—
553C22⋊C4—271no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C22⋊C4—271no—
557C22⋊C4D3×D911yescharacteristic
558C42—271no—
559C42—271no—
560C42—271no—
561C42—271no—
562C42—271no—
563C42—271no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—22no—
569C22×C3—21no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—181no—
573C22×C3—181no—
574C22×C3—181no—
575C22×C3#370112yes—
576C22×C3C23×D911yescharacteristic
577C22×C3#379612yes—
578C22×C3C22×D3211yescharacteristic
579C2×D3—61no—
580C2×D3—61no—
581C2×D3—61no—
582C2×D3—182no—
583C2×D3—181no—
584C2×D3—181no—
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—61no—
601C3×C4—181no—
602C3×C4—181no—
603C3×C4—181no—
604Dic3—21no—
605Dic3—21no—
606Dic3—21no—
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#562411yescharacteristic
621C9—21no—
622C9#564911yescharacteristic, complemented
623C23—91no—
624C23—271no—
625C23C2×D3×D911yescharacteristic
626Q8—62no—
627D4—182no—
628D4—542no—
629D4—542no—
630C2×C4—31no—
631C2×C4—31no—
632C2×C4—31no—
633C2×C4—31no—
634C2×C4—62no—
635C2×C4—91no—
636C2×C4—91no—
637C2×C4—91no—
638C2×C4—182no—
639C2×C4—271no—
640C2×C4—271no—
641C2×C4—271no—
642C2×C4—542no—
643C2×C4—542no—
644C2×C4—542no—
645C2×C4C2×D3×D911yescharacteristic
646C2×C4C2×D3×D911yescharacteristic
647C2×C3—22no—
648C2×C3—22no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—42no—
653C2×C3—361no—
654C2×C3C2×#369911yescharacteristic
655C2×C3C2×#370111yescharacteristic
656C2×C3#41×D911yescharacteristic
657C2×C3C2×#379611yescharacteristic
658C2×C3D3×#23711yescharacteristic
659C2×C3#6431211yescharacteristic
660D3—121no—
661D3—362no—
662D3—361no—
663D3—361no—
664C22—21no—
665C22—21no—
666C22—181no—
667C22—181no—
668C22—181no—
669C22—541no—
670C22—541no—
671C22—541no—
672C22#8863412yes—
673C22C22×D3×D911yescharacteristic
674C4—21no—
675C4—21no—
676C4—32no—
677C4—61no—
678C4—61no—
679C4—61no—
680C4—181no—
681C4—181no—
682C4—181no—
683C4—272no—
684C4—541no—
685C4—541no—
686C3—21no—
687C3#1058972611yescharacteristic, complemented
688C3#1059414411yescharacteristic
689C2—22no—
690C2—361no—
691C2—1081no—
692C2C2×#8863411yescharacteristic
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#11721277C2
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. C3×#63448C2semidirect
3. C9×#878C2semidirect
5. #611⋊Dic3C2semidirect
6. #11721255C2semidirect
7. C2×Dic3×Dic9C2semidirect
8. #11721003C2semidirect
9. #11720978C2semidirect
10. #11720975C2semidirect
11. #11720946C2semidirect
12. #11720922C2semidirect
13. #11720921C2semidirect
14. #11720916C2semidirect
15. #11720911C2semidirect
80. #63448D3semidirect
238. #878D9semidirect
453. C3×C9#529semidirect
622. C9#5649semidirect
687. C3#10589726semidirect

Maximal subgroups

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

subgroupindex
#117217272
C3×#634482
C9×#8782
#117212772
#611⋊Dic32
#117212552
C2×Dic3×Dic92
#117210032
#117209782
#117209752
#117209462
#117209222
#117209212
#117209162
#117209112
#105941443
#105897263