Finite Group Databasebeta

← #13147517

Subgroups — #13147517

Order 1728.

784 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721709C211yesmaximal, characteristic, complemented
2C9×#872C211yesmaximal, characteristic, complemented
3C3×#63437C211yesmaximal, characteristic, complemented
4#11721044C211yesmaximal, characteristic, complemented
5#11721041C211yesmaximal, characteristic, complemented
6#11721035C211yesmaximal, characteristic, complemented
7#11721034C211yesmaximal, characteristic, complemented
8#11720983C211yesmaximal, characteristic, complemented
9#11720982C211yesmaximal, characteristic, complemented
10#11720978C211yesmaximal, characteristic, complemented
11#11720976C211yesmaximal, characteristic, complemented
12#11720975C211yesmaximal, characteristic, complemented
13#11720974C211yesmaximal, characteristic, complemented
14#11720940C211yesmaximal, characteristic, complemented
15#11720904C211yesmaximal, characteristic, complemented
16#10593930—31nomaximal
17#10589634—31nomaximal
18C2×C4×C3⋊D9C2211yescharacteristic
19C2×C4×D3×C9C2211yescharacteristic
20C2×C3×D36C2211yescharacteristic
21C2×C3×Dic18C2211yescharacteristic
22C2×#6195C2211yescharacteristic
23C2×#6194C2211yescharacteristic
24C2×#6194C2211yescharacteristic
25C2×#6192C2211yescharacteristic
26C2×#6192C2211yescharacteristic
27C2×Dic3×D9C2211yescharacteristic
28C2×Dic3×D9C2211yescharacteristic
29C2×#6189C2211yescharacteristic
30C3×C42×C9C2211yescharacteristic
31#88536C2211yescharacteristic
32#88536C2211yescharacteristic
33#88534C2211yescharacteristic
34#88534C2211yescharacteristic
35C4×C3⋊Dic9C2211yescharacteristic
36C9×(C2×D3)⋊C4C2211yescharacteristic
37C9×(C2×D3)⋊C4C2211yescharacteristic
38C3×(C2×D9)⋊C4C2211yescharacteristic
39C3×(C2×D9)⋊C4C2211yescharacteristic
40C3×(C2×D9)⋊C4C2211yescharacteristic
41C3×(C2×D9)⋊C4C2211yescharacteristic
42C9×Dic3⋊C4C2211yescharacteristic
43C9×Dic3⋊C4C2211yescharacteristic
44C4×C9×Dic3C2211yescharacteristic
45(C2×D3)⋊Dic9C2211yescharacteristic
46#88445C2211yescharacteristic
47(C2×D9)⋊Dic3C2211yescharacteristic
48(C2×D9)⋊Dic3C2211yescharacteristic
49Dic3⋊Dic9C2211yescharacteristic
50#88442C2211yescharacteristic
51Dic3×Dic9C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64081—31no—
54C3×#875—31no—
55C3×#872D311yescharacteristic
56#63915—31no—
57#63912—31no—
58#63907—31no—
59#63906—31no—
60#63886—31no—
61#63885—31no—
62#63881—31no—
63#63879—31no—
64#63878—31no—
65#63877—31no—
66#63852—31no—
67#63839—31no—
68C9×#117—31no—
69#63492—31no—
70C4×#611—31no—
71#63457—31no—
72#63455—31no—
73#63454—31no—
74#63450—31no—
75#63447—31no—
76#63447—31no—
77#63446—31no—
78#63446—31no—
79#63437—31no—
80#63437D311yescharacteristic, complemented
81#63434—31no—
82#63434—31no—
83#63434—61no—
84C22×C3⋊D9C2311yescharacteristic
85C22×D3×C9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
87C22×C3×D9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3×C4×C9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C4×C3⋊D9—22no—
95C2×C9×Dic3C2311yescharacteristic
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C3×Dic9C2311yescharacteristic
99C2×C3×Dic9C2311yescharacteristic
100C4×D3×C9—22no—
101C3×D36—41no—
102C3×Dic18—41no—
103#6195—41no—
104#6194—22no—
105#6194—41no—
106#6192—22no—
107#6192—41no—
108Dic3×D9—22no—
109Dic3×D9—22no—
110#6189—41no—
111#5670—91no—
112#5532—91no—
113C2×C4×C3⋊D3—31no—
114C2×C3×D12—31no—
115C2×C3×C4×D3C2×D311yescharacteristic
116C2×C3×Dic6—31no—
117C2×#627—31no—
118C2×#626—31no—
119C2×#626—31no—
120C2×#626—31no—
121C2×#625—31no—
122C2×#625—31no—
123C2×D3×Dic3—31no—
124C2×D3×Dic3—31no—
125C32×C42C2×D311yescharacteristic
126#3752—31no—
127#3752—31no—
128#3750—31no—
129#3750—31no—
130C4×C3⋊Dic3—31no—
131C3×(C2×D3)⋊C4—31no—
132C3×(C2×D3)⋊C4—31no—
133C3×(C2×D3)⋊C4—31no—
134C3×(C2×D3)⋊C4—31no—
135C3×(C2×D3)⋊C4C2×D311yescharacteristic
136C3×(C2×D3)⋊C4C2×D311yescharacteristic
137C3×Dic3⋊C4C2×D311yescharacteristic
138C3×Dic3⋊C4C2×D311yescharacteristic
139C3×C4×Dic3C2×D311yescharacteristic
140#3724—31no—
141Dic3⋊Dic3—31no—
142#3722—31no—
143(C2×D3)⋊Dic3—31no—
144(C2×D3)⋊Dic3—31no—
145(C2×D3)⋊Dic3—31no—
146Dic32—31no—
147Dic32—31no—
148C22×C4×C9—31no—
149C2×#611—31no—
150C2×#611—31no—
151C2×#611—31no—
152C2×D36—31no—
153C2×D36—31no—
154C2×D36C2×D311yescharacteristic
155C2×C4×D9—31no—
156C2×C4×D9—31no—
157C2×C4×D9—31no—
158C2×C4×D9—61no—
159C2×Dic18—31no—
160C2×Dic18C2×D311yescharacteristic
161C9×C4⋊C4—31no—
162C9×C4⋊C4—31no—
163C9×C22⋊C4—31no—
164C9×C22⋊C4—31no—
165C42×C9—21no—
166C42×C9—31no—
167C42×C9C2×D311yescharacteristic
168#3676—31no—
169(C2×D9)⋊C4—31no—
170(C2×D9)⋊C4—31no—
171(C2×D9)⋊C4—31no—
172(C2×D9)⋊C4—31no—
173(C2×D9)⋊C4—31no—
174(C2×D9)⋊C4—61no—
175(C2×D9)⋊C4—61no—
176(C2×D9)⋊C4C2×D311yescharacteristic
177(C2×D9)⋊C4C2×D311yescharacteristic
178(C2×D9)⋊C4C2×D311yescharacteristic
179(C2×D9)⋊C4C2×D311yescharacteristic
180C4⋊Dic9—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4—31no—
183Dic9⋊C4—31no—
184Dic9⋊C4—61no—
185Dic9⋊C4—61no—
186C4×Dic9—31no—
187C4×Dic9—31no—
188C4×Dic9—31no—
189C4×Dic9—61no—
190C22×C3×C9C2411yescharacteristic
191C2×C3⋊D9—21no—
192C2×C3⋊D9—21no—
193C2×C3⋊D9—21no—
194C2×D3×C9—21no—
195C2×D3×C9—21no—
196C2×D3×C9—21no—
197C2×C3×D9—21no—
198C2×C3×D9—21no—
199C2×C3×D9—21no—
200C2×C3×D9—21no—
201C2×C3×D9—21no—
202C2×C3×D9—21no—
203C3×C4×C9—21no—
204C3×C4×C9—21no—
205C3×C4×C9—21no—
206C3⋊Dic9—21no—
207C3⋊Dic9—21no—
208C3⋊Dic9#4112yes—
209C9×Dic3—21no—
210C9×Dic3—21no—
211C9×Dic3#4112yes—
212C3×Dic9—21no—
213C3×Dic9—21no—
214C3×#124—91no—
215C3×#117—31no—
216#947—91no—
217#944—91no—
218#939—91no—
219#939—91no—
220#930—91no—
221C4×#67—91no—
222#895—91no—
223#893—91no—
224#892—91no—
225#888—91no—
226#885—91no—
227#885—91no—
228#885—91no—
229#885—91no—
230#884—91no—
231#884—91no—
232#884—91no—
233#884—91no—
234#67⋊C4—91no—
235#67⋊C4—91no—
236#877—91no—
237#877—91no—
238#875—31no—
239#875—91no—
240#872—91no—
241#872—91no—
242#872—91no—
243#872—181no—
244#872D911yescharacteristic, complemented
245C22×C3⋊D3—31no—
246C22×C3×D3—31no—
247C22×C3×D3—31no—
248C22×C3×D3C22×D311yescharacteristic
249C2×C32×C4C22×D311yescharacteristic
250C2×C32×C4C22×D311yescharacteristic
251C2×C32×C4C22×D311yescharacteristic
252C2×C3⋊Dic3—31no—
253C2×C3⋊Dic3—31no—
254C2×C3⋊Dic3—31no—
255C4×C3⋊D3—62no—
256C2×C3×Dic3—31no—
257C2×C3×Dic3—31no—
258C2×C3×Dic3C22×D311yescharacteristic
259C2×C3×Dic3C22×D311yescharacteristic
260C2×C3×Dic3C22×D311yescharacteristic
261C3×D12—121no—
262C3×C4×D3—22no—
263C3×Dic6—121no—
264#627—121no—
265#626—62no—
266#626—121no—
267#626—121no—
268#625—62no—
269#625—121no—
270D3×Dic3—62no—
271D3×Dic3—62no—
272C23×C9—31no—
273C22×D9—31no—
274C22×D9—61no—
275C22×D9C22×D311yescharacteristic
276C22×D9C22×D311yescharacteristic
277C2×C4×C9—21no—
278C2×C4×C9—21no—
279C2×C4×C9—21no—
280C2×C4×C9—31no—
281C2×C4×C9—31no—
282C2×C4×C9—31no—
283C2×C4×C9—62no—
284C2×C4×C9C22×D311yescharacteristic
285C2×C4×C9C22×D311yescharacteristic
286C2×C4×C9C22×D311yescharacteristic
287#611—62no—
288#611—121no—
289#611—121no—
290C2×Dic9—31no—
291C2×Dic9—31no—
292C2×Dic9—31no—
293C2×Dic9—61no—
294C2×Dic9—61no—
295C2×Dic9—61no—
296C2×Dic9C22×D311yescharacteristic
297C2×Dic9C22×D311yescharacteristic
298D36—41no—
299D36—62no—
300D36—121no—
301C4×D9—62no—
302C4×D9—62no—
303C4×D9—64no—
304C4×D9—62no—
305Dic18—41no—
306Dic18—121no—
307#555—271noSylow
308C2×C3×C9C2×#4111yescharacteristic
309C2×C3×C9C2×#4111yescharacteristic
310C2×C3×C9H(5,𝔽2)11yescharacteristic
311C3⋊D9—41no—
312D3×C9—41no—
313C3×D9—41no—
314C3×D9—41no—
315C2×C3×Q8—91no—
316C2×C3×D4—91no—
317C22×C3×C4—31no—
318C2×#67—91no—
319C2×#67—91no—
320C2×#67—91no—
321C2×#67—91no—
322C2×#67—91no—
323C2×#67—91no—
324C2×#67—91no—
325C22×Dic3—91no—
326C22×Dic3—91no—
327C2×D12—31no—
328C2×D12—91no—
329C2×D12—91no—
330C2×D12—91no—
331C2×C4×D3—91no—
332C2×C4×D3—91no—
333C2×C4×D3—91no—
334C2×C4×D3—91no—
335C2×C4×D3—181no—
336C2×C4×D3C2×D911yescharacteristic
337C2×Dic6—31no—
338C2×Dic6—91no—
339C2×Dic6—91no—
340C3×C4⋊C4—31no—
341C3×C4⋊C4—31no—
342C3×C22⋊C4—31no—
343C3×C22⋊C4—31no—
344C3×C22⋊C4—91no—
345C3×C22⋊C4—91no—
346C3×C22⋊C4—91no—
347C3×C22⋊C4—91no—
348C3×C42—21no—
349C3×C42—31no—
350C3×C42C2×D911yescharacteristic
351C3×C42D3211yescharacteristic
352#217—91no—
353#217—91no—
354#217—91no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—31no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—31no—
359(C2×D3)⋊C4—91no—
360(C2×D3)⋊C4—91no—
361(C2×D3)⋊C4—91no—
362(C2×D3)⋊C4—91no—
363(C2×D3)⋊C4—91no—
364(C2×D3)⋊C4—91no—
365(C2×D3)⋊C4—91no—
366(C2×D3)⋊C4—91no—
367(C2×D3)⋊C4—91no—
368(C2×D3)⋊C4—181no—
369(C2×D3)⋊C4—181no—
370(C2×D3)⋊C4C2×D911yescharacteristic
371(C2×D3)⋊C4C2×D911yescharacteristic
372C4⋊Dic3—91no—
373Dic3⋊C4—91no—
374Dic3⋊C4—91no—
375Dic3⋊C4—91no—
376Dic3⋊C4—91no—
377Dic3⋊C4—91no—
378Dic3⋊C4—91no—
379Dic3⋊C4—91no—
380Dic3⋊C4—181no—
381Dic3⋊C4—181no—
382Dic3⋊C4C2×D911yescharacteristic
383Dic3⋊C4C2×D911yescharacteristic
384C4×Dic3—91no—
385C4×Dic3—91no—
386C4×Dic3—91no—
387C4×Dic3—91no—
388C4×Dic3—91no—
389C4×Dic3—91no—
390C4×Dic3—181no—
391C4×Dic3C2×D911yescharacteristic
392C22×C32C23×D311yescharacteristic
393C2×C3⋊D3—61no—
394C2×C3⋊D3—61no—
395C2×C3⋊D3—61no—
396C2×C3×D3—21no—
397C2×C3×D3—21no—
398C2×C3×D3—21no—
399C2×C3×D3—61no—
400C2×C3×D3—61no—
401C2×C3×D3—61no—
402C2×C3×D3—61no—
403C2×C3×D3—61no—
404C2×C3×D3—61no—
405C32×C4—21no—
406C32×C4—21no—
407C32×C4—21no—
408C3⋊Dic3—32no—
409C3⋊Dic3—61no—
410C3⋊Dic3—61no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—61no—
414C3×Dic3—61no—
415C3×Dic3#23512yes—
416C22×C9—21no—
417C22×C9—61no—
418C22×C9—61no—
419C22×C9—61no—
420C22×C9C23×D311yescharacteristic
421C2×D9—21no—
422C2×D9—21no—
423C2×D9—21no—
424C2×D9—21no—
425C2×D9—21no—
426C2×D9—21no—
427C2×D9—62no—
428C2×D9—61no—
429C2×D9—61no—
430C2×D9—61no—
431C2×D9—121no—
432C2×D9—121no—
433C4×C9—22no—
434C4×C9—21no—
435C4×C9—21no—
436C4×C9—21no—
437C4×C9—32no—
438C4×C9—41no—
439C4×C9—41no—
440C4×C9—61no—
441C4×C9—61no—
442Dic9—21no—
443Dic9—21no—
444Dic9—32no—
445Dic9—62no—
446Dic9—61no—
447Dic9—61no—
448Dic9—121no—
449Dic9—121no—
450C4⋊Q8—271no—
451#124—91no—
452#124—271no—
453#124—271no—
454#124—271no—
455#121—271no—
456#121—271no—
457#121—271no—
458#121—271no—
459C4×D4—271no—
460C4×D4—271no—
461#117—31no—
462#117—271no—
463#117—271no—
464#117—271no—
465C3×C9#55511yescharacteristic, complemented, Sylow
466C23×C3—31no—
467C23×C3—91no—
468C23×C3—91no—
469C22×D3—31no—
470C22×D3—31no—
471C22×D3—91no—
472C22×D3—91no—
473C22×D3—181no—
474C22×D3C22×D911yescharacteristic
475C3×Q8—361no—
476C3×D4—361no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—31no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—62no—
484C2×C3×C4—91no—
485C2×C3×C4—91no—
486C2×C3×C4C22×D911yescharacteristic
487C2×C3×C4C22×D911yescharacteristic
488C2×C3×C4C22×D911yescharacteristic
489C2×C3×C4C2×D3211yescharacteristic
490C2×C3×C4C2×D3211yescharacteristic
491C2×C3×C4C2×D3211yescharacteristic
492#67—182no—
493#67—182no—
494#67—182no—
495#67—361no—
496#67—361no—
497#67—361no—
498#67—361no—
499C2×Dic3—31no—
500C2×Dic3—31no—
501C2×Dic3—91no—
502C2×Dic3—91no—
503C2×Dic3—91no—
504C2×Dic3—91no—
505C2×Dic3—91no—
506C2×Dic3—91no—
507C2×Dic3—181no—
508C2×Dic3—181no—
509C2×Dic3—181no—
510C2×Dic3—182no—
511C2×Dic3—182no—
512C2×Dic3C22×D911yescharacteristic
513C2×Dic3C22×D911yescharacteristic
514C2×Dic3C22×D911yescharacteristic
515D12—121no—
516D12—182no—
517D12—361no—
518D12—361no—
519C4×D3—22no—
520C4×D3—182no—
521C4×D3—182no—
522C4×D3—182no—
523C4×D3—184no—
524C4×D3—182no—
525Dic6—121no—
526Dic6—361no—
527Dic6—361no—
528C2×C32C2×#23511yescharacteristic
529C2×C32D3×#4111yescharacteristic
530C2×C32#100911yescharacteristic
531C3⋊D3—121no—
532C3×D3—41no—
533C3×D3—121no—
534C3×D3—121no—
535C2×C9—21no—
536C2×C9—21no—
537C2×C9—21no—
538C2×C9—121no—
539C2×C9#100411yescharacteristic
540C2×C9D3×#4111yescharacteristic
541C2×C9D3×#4111yescharacteristic
542D9—41no—
543D9—41no—
544D9—122no—
545D9—121no—
546C2×Q8—91no—
547C2×Q8—271no—
548C2×D4—91no—
549C2×D4—271no—
550C2×D4—271no—
551C2×D4—271no—
552C2×D4—271no—
553C2×D4—271no—
554C22×C4—31no—
555C22×C4—271no—
556C22×C4—271no—
557C22×C4—271no—
558C4⋊C4—31no—
559C4⋊C4—31no—
560C4⋊C4—271no—
561C4⋊C4—271no—
562C4⋊C4—271no—
563C4⋊C4—271no—
564C22⋊C4—31no—
565C22⋊C4—31no—
566C22⋊C4—91no—
567C22⋊C4—91no—
568C22⋊C4—91no—
569C22⋊C4—91no—
570C22⋊C4—271no—
571C22⋊C4—271no—
572C22⋊C4—271no—
573C22⋊C4—271no—
574C22⋊C4—271no—
575C22⋊C4—271no—
576C42—31no—
577C42—271no—
578C42—271no—
579C42—271no—
580C42D3×D911yescharacteristic
581C22×C3—21no—
582C22×C3—61no—
583C22×C3—61no—
584C22×C3—61no—
585C22×C3—181no—
586C22×C3—181no—
587C22×C3—181no—
588C22×C3—181no—
589C22×C3—181no—
590C22×C3—181no—
591C22×C3C23×D911yescharacteristic
592C22×C3C22×D3211yescharacteristic
593C2×D3—21no—
594C2×D3—21no—
595C2×D3—21no—
596C2×D3—61no—
597C2×D3—61no—
598C2×D3—61no—
599C2×D3—61no—
600C2×D3—61no—
601C2×D3—61no—
602C2×D3—182no—
603C2×D3—181no—
604C2×D3—181no—
605C2×D3—181no—
606C2×D3—181no—
607C2×D3—181no—
608C2×D3—181no—
609C2×D3—361no—
610C2×D3—361no—
611C3×C4—22no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—32no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—61no—
622C3×C4—61no—
623C3×C4—181no—
624C3×C4—181no—
625Dic3—21no—
626Dic3—21no—
627Dic3—61no—
628Dic3—61no—
629Dic3—92no—
630Dic3—92no—
631Dic3—182no—
632Dic3—181no—
633Dic3—181no—
634Dic3—181no—
635Dic3—181no—
636Dic3—361no—
637Dic3—361no—
638Dic3#369712yes—
639C32#553211yescharacteristic
640C9—21no—
641C9#567011yescharacteristic, complemented
642C23—31no—
643C23—91no—
644C23—91no—
645C23—271no—
646Q8—361no—
647Q8—1081no—
648D4—361no—
649D4—542no—
650D4—542no—
651D4—1081no—
652D4—1081no—
653D4—1081no—
654C2×C4—31no—
655C2×C4—31no—
656C2×C4—31no—
657C2×C4—62no—
658C2×C4—91no—
659C2×C4—91no—
660C2×C4—271no—
661C2×C4—271no—
662C2×C4—271no—
663C2×C4—542no—
664C2×C4—542no—
665C2×C4—542no—
666C2×C4C2×D3×D911yescharacteristic
667C2×C4C2×D3×D911yescharacteristic
668C2×C4C2×D3×D911yescharacteristic
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—121no—
673C2×C3—361no—
674C2×C3—361no—
675C2×C3C2×#369711yescharacteristic
676C2×C3#41×D911yescharacteristic
677C2×C3#6371511yescharacteristic
678C2×C3D3×#23511yescharacteristic
679C2×C3#6430611yescharacteristic
680C2×C3#6430711yescharacteristic
681D3—41no—
682D3—121no—
683D3—121no—
684D3—362no—
685D3—361no—
686D3—361no—
687C22—61no—
688C22—61no—
689C22—61no—
690C22—181no—
691C22—181no—
692C22—181no—
693C22—181no—
694C22—181no—
695C22—181no—
696C22—541no—
697C22—541no—
698C22—541no—
699C22C22×D3×D911yescharacteristic
700C4—21no—
701C4—21no—
702C4—21no—
703C4—32no—
704C4—61no—
705C4—61no—
706C4—181no—
707C4—181no—
708C4—272no—
709C4—541no—
710C4—541no—
711C3—21no—
712C3#1058963411yescharacteristic, complemented
713C3#1059393011yescharacteristic
714C2—121no—
715C2—361no—
716C2—361no—
717C2—1081no—
718C2D3×#369711yescharacteristic
719C2#1172247511yescharacteristic
720C2#1172247711yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C42×C9C22
socleC22×C32C23×D3
hypercenterC42D3×D9
hypocenterC3×C9#555
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C42

Complements

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

NH ≅ G/Ntype
1. #11721709C2semidirect
2. C9×#872C2semidirect
3. C3×#63437C2semidirect
4. #11721044C2semidirect
5. #11721041C2semidirect
6. #11721035C2semidirect
7. #11721034C2semidirect
8. #11720983C2semidirect
9. #11720982C2semidirect
10. #11720978C2semidirect
11. #11720976C2semidirect
12. #11720975C2semidirect
13. #11720974C2semidirect
14. #11720940C2semidirect
15. #11720904C2semidirect
80. #63437D3semidirect
244. #872D9semidirect
465. C3×C9#555semidirect
641. C9#5670semidirect
712. C3#10589634semidirect

Maximal subgroups

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

subgroupindex
#117217092
C9×#8722
C3×#634372
#117210442
#117210412
#117210352
#117210342
#117209832
#117209822
#117209782
#117209762
#117209752
#117209742
#117209402
#117209042
#105939303
#105896343