Finite Group Databasebeta

← #13147528

Subgroups — #13147528

Order 1728.

784 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721712C211yesmaximal, characteristic, complemented
2C9×#872C211yesmaximal, characteristic, complemented
3C3×#63434C211yesmaximal, characteristic, complemented
4#11721042C211yesmaximal, characteristic, complemented
5#11721039C211yesmaximal, characteristic, complemented
6#11721034C211yesmaximal, characteristic, complemented
7#11721033C211yesmaximal, characteristic, complemented
8#11721030C211yesmaximal, characteristic, complemented
9#11721005C211yesmaximal, characteristic, complemented
10#11721002C211yesmaximal, characteristic, complemented
11#11720956C211yesmaximal, characteristic, complemented
12#11720940C211yesmaximal, characteristic, complemented
13#11720905C211yesmaximal, characteristic, complemented
14#11720899C211yesmaximal, characteristic, complemented
15#11720898C211yesmaximal, characteristic, complemented
16#10593977—31nomaximal
17#10589634—31nomaximal
18C2×C4⋊(C3⋊D9)C2211yescharacteristic
19C2×#6226C2211yescharacteristic
20C2×C4×D3×C9C2211yescharacteristic
21C2×C3×C4×D9C2211yescharacteristic
22C2×#6195C2211yescharacteristic
23C2×#6195C2211yescharacteristic
24C2×#6194C2211yescharacteristic
25C2×#6192C2211yescharacteristic
26C2×#6192C2211yescharacteristic
27C2×(C3⋊D9)⋊C4C2211yescharacteristic
28C2×(C3⋊D9)⋊C4C2211yescharacteristic
29C2×#6189C2211yescharacteristic
30C3×C42×C9C2211yescharacteristic
31#88536C2211yescharacteristic
32#88536C2211yescharacteristic
33#88536C2211yescharacteristic
34#88536C2211yescharacteristic
35C9×(C2×D3)⋊C4C2211yescharacteristic
36C9×(C2×D3)⋊C4C2211yescharacteristic
37C3×(C2×D9)⋊C4C2211yescharacteristic
38C3×(C2×D9)⋊C4C2211yescharacteristic
39C9×Dic3⋊C4C2211yescharacteristic
40C9×Dic3⋊C4C2211yescharacteristic
41C4×C9×Dic3C2211yescharacteristic
42C3×Dic9⋊C4C2211yescharacteristic
43C3×Dic9⋊C4C2211yescharacteristic
44C3×C4×Dic9C2211yescharacteristic
45(C2×D3)⋊Dic9C2211yescharacteristic
46#88445C2211yescharacteristic
47#88445C2211yescharacteristic
48(C2×D9)⋊Dic3C2211yescharacteristic
49Dic3⋊Dic9C2211yescharacteristic
50Dic9⋊Dic3C2211yescharacteristic
51Dic3×Dic9C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64084—31no—
54C3×#872—31no—
55C3×#872D311yescharacteristic
56#63913—31no—
57#63910—31no—
58#63910—31no—
59#63906—31no—
60#63906—31no—
61#63904—31no—
62#63904—31no—
63#63852—31no—
64#63852—31no—
65#63840—31no—
66#63836—31no—
67#63836—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#63437—31no—
81#63437—61no—
82#63434—31no—
83#63434D311yescharacteristic, complemented
84C22×C3⋊D9C2311yescharacteristic
85C22×C3⋊D9C2311yescharacteristic
86C22×D3×C9C2311yescharacteristic
87C22×C3×D9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3×C4×C9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C4⋊(C3⋊D9)—41no—
94#6226—41no—
95C2×C9×Dic3C2311yescharacteristic
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C3×Dic9C2311yescharacteristic
99C2×C3×Dic9C2311yescharacteristic
100C2×C3×Dic9C2311yescharacteristic
101C4×D3×C9—22no—
102C3×C4×D9—22no—
103#6195—22no—
104#6195—41no—
105#6194—41no—
106#6192—22no—
107#6192—41no—
108(C3⋊D9)⋊C4—22no—
109(C3⋊D9)⋊C4—22no—
110#6189—41no—
111#5532—91no—
112#5532—91no—
113C2×C4⋊(C3⋊D3)—31no—
114C2×#634—31no—
115C2×C3×C4×D3—31no—
116C2×C3×C4×D3C2×D311yescharacteristic
117C2×#627—31no—
118C2×#626—31no—
119C2×#626—31no—
120C2×#626—31no—
121C2×#626—31no—
122C2×#625—31no—
123C2×#624—31no—
124C2×#624—31no—
125C32×C42C2×D311yescharacteristic
126#3752—31no—
127#3752—31no—
128#3752—31no—
129#3752—31no—
130C3×(C2×D3)⋊C4—31no—
131C3×(C2×D3)⋊C4—31no—
132C3×(C2×D3)⋊C4C2×D311yescharacteristic
133C3×(C2×D3)⋊C4C2×D311yescharacteristic
134C3×Dic3⋊C4—31no—
135C3×Dic3⋊C4—31no—
136C3×Dic3⋊C4C2×D311yescharacteristic
137C3×Dic3⋊C4C2×D311yescharacteristic
138C3×C4×Dic3—31no—
139C3×C4×Dic3C2×D311yescharacteristic
140Dic3⋊Dic3—31no—
141Dic3⋊Dic3—31no—
142#3722—31no—
143#3722—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×D36—31no—
155C2×D36—61no—
156C2×C4×D9—31no—
157C2×C4×D9—31no—
158C2×C4×D9C2×D311yescharacteristic
159C2×Dic18—31no—
160C2×Dic18—31no—
161C2×Dic18—61no—
162C9×C4⋊C4—31no—
163C9×C4⋊C4—31no—
164C9×C22⋊C4—31no—
165C9×C22⋊C4—31no—
166C42×C9—21no—
167C42×C9—31no—
168C42×C9C2×D311yescharacteristic
169#3676—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—31no—
175(C2×D9)⋊C4—31no—
176(C2×D9)⋊C4—31no—
177(C2×D9)⋊C4—61no—
178(C2×D9)⋊C4—61no—
179(C2×D9)⋊C4—61no—
180(C2×D9)⋊C4—61no—
181(C2×D9)⋊C4C2×D311yescharacteristic
182(C2×D9)⋊C4C2×D311yescharacteristic
183C4⋊Dic9—31no—
184Dic9⋊C4—31no—
185Dic9⋊C4C2×D311yescharacteristic
186Dic9⋊C4C2×D311yescharacteristic
187C4×Dic9—31no—
188C4×Dic9—31no—
189C4×Dic9C2×D311yescharacteristic
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—
197C2×D3×C9—21no—
198C2×D3×C9—21no—
199C2×D3×C9—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—
208C9×Dic3—21no—
209C9×Dic3—21no—
210C9×Dic3#4112yes—
211C3×Dic9—21no—
212C3×Dic9—21no—
213C3×Dic9#4112yes—
214C3×#117—31no—
215C3×#117—91no—
216#930—91no—
217#930—91no—
218C4×#67—91no—
219C4×#67—91no—
220#895—91no—
221#895—91no—
222#893—91no—
223#893—91no—
224#892—91no—
225#892—91no—
226#888—91no—
227#888—91no—
228#885—91no—
229#885—91no—
230#885—91no—
231#885—91no—
232#884—91no—
233#884—91no—
234#884—91no—
235#884—91no—
236#875—91no—
237#875—91no—
238#875—91no—
239#875—91no—
240#875—181no—
241#872—31no—
242#872—91no—
243#872—91no—
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—
254C4⋊(C3⋊D3)—121no—
255#634—121no—
256C2×C3×Dic3—31no—
257C2×C3×Dic3—31no—
258C2×C3×Dic3—31no—
259C2×C3×Dic3C22×D311yescharacteristic
260C2×C3×Dic3C22×D311yescharacteristic
261C2×C3×Dic3C22×D311yescharacteristic
262C3×C4×D3—22no—
263C3×C4×D3—62no—
264#627—121no—
265#626—62no—
266#626—62no—
267#626—121no—
268#626—121no—
269#625—121no—
270#624—62no—
271#624—62no—
272C23×C9—31no—
273C22×D9—31no—
274C22×D9—31no—
275C22×D9—61no—
276C22×D9—61no—
277C22×D9C22×D311yescharacteristic
278C2×C4×C9—21no—
279C2×C4×C9—21no—
280C2×C4×C9—21no—
281C2×C4×C9—31no—
282C2×C4×C9—31no—
283C2×C4×C9—31no—
284C2×C4×C9—62no—
285C2×C4×C9C22×D311yescharacteristic
286C2×C4×C9C22×D311yescharacteristic
287C2×C4×C9C22×D311yescharacteristic
288#611—62no—
289#611—121no—
290#611—121no—
291C2×Dic9—31no—
292C2×Dic9—31no—
293C2×Dic9—61no—
294C2×Dic9—61no—
295C2×Dic9C22×D311yescharacteristic
296C2×Dic9C22×D311yescharacteristic
297C2×Dic9C22×D311yescharacteristic
298D36—62no—
299D36—121no—
300D36—122no—
301D36—121no—
302C4×D9—22no—
303C4×D9—62no—
304C4×D9—62no—
305Dic18—121no—
306Dic18—121no—
307Dic18—122no—
308#555—271noSylow
309C2×C3×C9C2×#4111yescharacteristic
310C2×C3×C9C2×#4111yescharacteristic
311C2×C3×C9H(5,𝔽2)11yescharacteristic
312C3⋊D9—41no—
313C3⋊D9—41no—
314D3×C9—41no—
315C3×D9—41no—
316C22×C3×C4—31no—
317C22×C3×C4—91no—
318C2×#67—91no—
319C2×#67—91no—
320C2×#67—91no—
321C2×#67—91no—
322C2×#67—91no—
323C2×#67—91no—
324C2×D12—91no—
325C2×D12—91no—
326C2×D12—91no—
327C2×D12—91no—
328C2×D12—91no—
329C2×D12—91no—
330C2×D12—181no—
331C2×C4×D3—31no—
332C2×C4×D3—91no—
333C2×C4×D3—91no—
334C2×C4×D3—91no—
335C2×C4×D3—91no—
336C2×C4×D3C2×D911yescharacteristic
337C2×Dic6—91no—
338C2×Dic6—91no—
339C2×Dic6—91no—
340C2×Dic6—91no—
341C2×Dic6—181no—
342C3×C4⋊C4—31no—
343C3×C4⋊C4—31no—
344C3×C4⋊C4—91no—
345C3×C4⋊C4—91no—
346C3×C22⋊C4—31no—
347C3×C22⋊C4—31no—
348C3×C22⋊C4—91no—
349C3×C22⋊C4—91no—
350C3×C42—21no—
351C3×C42—31no—
352C3×C42—91no—
353C3×C42C2×D911yescharacteristic
354C3×C42D3211yescharacteristic
355#217—91no—
356#217—91no—
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—91no—
369(C2×D3)⋊C4—91no—
370(C2×D3)⋊C4—91no—
371(C2×D3)⋊C4—91no—
372(C2×D3)⋊C4—91no—
373(C2×D3)⋊C4—181no—
374(C2×D3)⋊C4—181no—
375(C2×D3)⋊C4—181no—
376(C2×D3)⋊C4—181no—
377(C2×D3)⋊C4C2×D911yescharacteristic
378(C2×D3)⋊C4C2×D911yescharacteristic
379C4⋊Dic3—91no—
380C4⋊Dic3—91no—
381Dic3⋊C4—31no—
382Dic3⋊C4—31no—
383Dic3⋊C4—91no—
384Dic3⋊C4—91no—
385Dic3⋊C4C2×D911yescharacteristic
386Dic3⋊C4C2×D911yescharacteristic
387C4×Dic3—31no—
388C4×Dic3—91no—
389C4×Dic3—91no—
390C4×Dic3—91no—
391C4×Dic3—91no—
392C4×Dic3C2×D911yescharacteristic
393C22×C32C23×D311yescharacteristic
394C2×C3⋊D3—61no—
395C2×C3⋊D3—61no—
396C2×C3⋊D3—61no—
397C2×C3⋊D3—61no—
398C2×C3⋊D3—61no—
399C2×C3⋊D3—61no—
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C2×C3×D3—21no—
403C2×C3×D3—61no—
404C2×C3×D3—61no—
405C2×C3×D3—61no—
406C32×C4—21no—
407C32×C4—21no—
408C32×C4—21no—
409C3⋊Dic3—61no—
410C3⋊Dic3—61no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—32no—
414C3×Dic3—61no—
415C3×Dic3—61no—
416C3×Dic3#23512yes—
417C22×C9—21no—
418C22×C9—61no—
419C22×C9—61no—
420C22×C9—61no—
421C22×C9C23×D311yescharacteristic
422C2×D9—21no—
423C2×D9—21no—
424C2×D9—21no—
425C2×D9—61no—
426C2×D9—61no—
427C2×D9—61no—
428C2×D9—61no—
429C2×D9—61no—
430C2×D9—61no—
431C2×D9—121no—
432C2×D9—121no—
433C2×D9—121no—
434C2×D9—121no—
435C2×D9—121no—
436C2×D9—121no—
437C4×C9—22no—
438C4×C9—21no—
439C4×C9—21no—
440C4×C9—21no—
441C4×C9—32no—
442C4×C9—41no—
443C4×C9—41no—
444C4×C9—61no—
445C4×C9—61no—
446Dic9—21no—
447Dic9—21no—
448Dic9—61no—
449Dic9—61no—
450Dic9—121no—
451Dic9—121no—
452Dic9#23512yes—
453C4⋊Q8—271no—
454#124—271no—
455#124—271no—
456#124—271no—
457#124—271no—
458#121—271no—
459#121—271no—
460#121—271no—
461#121—271no—
462C4×D4—271no—
463C4×D4—271no—
464#117—31no—
465#117—91no—
466#117—271no—
467#117—271no—
468C3×C9#55511yescharacteristic, complemented, Sylow
469C23×C3—31no—
470C23×C3—91no—
471C22×D3—31no—
472C22×D3—91no—
473C22×D3—91no—
474C22×D3—91no—
475C22×D3—91no—
476C22×D3—181no—
477C22×D3—181no—
478C22×D3C22×D911yescharacteristic
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—31no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—62no—
486C2×C3×C4—91no—
487C2×C3×C4—91no—
488C2×C3×C4—91no—
489C2×C3×C4—182no—
490C2×C3×C4C22×D911yescharacteristic
491C2×C3×C4C22×D911yescharacteristic
492C2×C3×C4C22×D911yescharacteristic
493C2×C3×C4C2×D3211yescharacteristic
494C2×C3×C4C2×D3211yescharacteristic
495C2×C3×C4C2×D3211yescharacteristic
496#67—182no—
497#67—182no—
498#67—361no—
499#67—361no—
500#67—361no—
501#67—361no—
502C2×Dic3—31no—
503C2×Dic3—31no—
504C2×Dic3—31no—
505C2×Dic3—91no—
506C2×Dic3—91no—
507C2×Dic3—91no—
508C2×Dic3—91no—
509C2×Dic3—181no—
510C2×Dic3—181no—
511C2×Dic3C22×D911yescharacteristic
512C2×Dic3C22×D911yescharacteristic
513C2×Dic3C22×D911yescharacteristic
514D12—182no—
515D12—182no—
516D12—361no—
517D12—361no—
518D12—362no—
519D12—361no—
520D12—361no—
521C4×D3—22no—
522C4×D3—62no—
523C4×D3—182no—
524C4×D3—182no—
525C4×D3—182no—
526C4×D3—182no—
527Dic6—361no—
528Dic6—361no—
529Dic6—361no—
530Dic6—361no—
531Dic6—362no—
532C2×C32C2×#23511yescharacteristic
533C2×C32D3×#4111yescharacteristic
534C2×C32#100911yescharacteristic
535C3⋊D3—121no—
536C3⋊D3—121no—
537C3×D3—41no—
538C3×D3—121no—
539C2×C9—21no—
540C2×C9—21no—
541C2×C9—21no—
542C2×C9—121no—
543C2×C9C2×#23511yescharacteristic
544C2×C9D3×#4111yescharacteristic
545C2×C9#100911yescharacteristic
546D9—41no—
547D9—121no—
548D9—121no—
549D9—241no—
550D9—241no—
551C2×Q8—271no—
552C2×Q8—271no—
553C2×D4—271no—
554C2×D4—271no—
555C2×D4—271no—
556C2×D4—271no—
557C2×D4—271no—
558C2×D4—271no—
559C22×C4—31no—
560C22×C4—91no—
561C22×C4—271no—
562C22×C4—271no—
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—91no—
566C4⋊C4—91no—
567C4⋊C4—271no—
568C4⋊C4—271no—
569C22⋊C4—31no—
570C22⋊C4—31no—
571C22⋊C4—91no—
572C22⋊C4—91no—
573C22⋊C4—271no—
574C22⋊C4—271no—
575C22⋊C4—271no—
576C22⋊C4—271no—
577C22⋊C4—271no—
578C22⋊C4—271no—
579C22⋊C4—271no—
580C22⋊C4—271no—
581C42—31no—
582C42—91no—
583C42—271no—
584C42—271no—
585C42D3×D911yescharacteristic
586C22×C3—21no—
587C22×C3—61no—
588C22×C3—61no—
589C22×C3—61no—
590C22×C3—181no—
591C22×C3—181no—
592C22×C3—181no—
593C22×C3C23×D911yescharacteristic
594C22×C3C22×D3211yescharacteristic
595C2×D3—21no—
596C2×D3—21no—
597C2×D3—21no—
598C2×D3—61no—
599C2×D3—61no—
600C2×D3—61no—
601C2×D3—181no—
602C2×D3—181no—
603C2×D3—181no—
604C2×D3—181no—
605C2×D3—181no—
606C2×D3—181no—
607C2×D3—181no—
608C2×D3—181no—
609C2×D3—181no—
610C2×D3—181no—
611C2×D3—181no—
612C2×D3—181no—
613C2×D3—361no—
614C2×D3—361no—
615C2×D3—361no—
616C2×D3—361no—
617C2×D3—361no—
618C2×D3—361no—
619C3×C4—22no—
620C3×C4—21no—
621C3×C4—21no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—32no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4—61no—
630C3×C4—61no—
631C3×C4—92no—
632C3×C4—181no—
633C3×C4—181no—
634Dic3—21no—
635Dic3—21no—
636Dic3—32no—
637Dic3—61no—
638Dic3—61no—
639Dic3—181no—
640Dic3—181no—
641Dic3—181no—
642Dic3—181no—
643Dic3—361no—
644Dic3—361no—
645Dic3#369712yes—
646C32#553211yescharacteristic
647C9—21no—
648C9#553211yescharacteristic, complemented
649C23—31no—
650C23—91no—
651C23—271no—
652C23—271no—
653Q8—1081no—
654Q8—1081no—
655D4—542no—
656D4—542no—
657D4—1081no—
658D4—1081no—
659D4—1081no—
660D4—1081no—
661C2×C4—31no—
662C2×C4—31no—
663C2×C4—31no—
664C2×C4—62no—
665C2×C4—91no—
666C2×C4—91no—
667C2×C4—91no—
668C2×C4—182no—
669C2×C4—271no—
670C2×C4—271no—
671C2×C4—542no—
672C2×C4—542no—
673C2×C4C2×D3×D911yescharacteristic
674C2×C4C2×D3×D911yescharacteristic
675C2×C4C2×D3×D911yescharacteristic
676C2×C3—21no—
677C2×C3—21no—
678C2×C3—21no—
679C2×C3—121no—
680C2×C3—361no—
681C2×C3C2×#369711yescharacteristic
682C2×C3#41×D911yescharacteristic
683C2×C3#6371511yescharacteristic
684C2×C3D3×#23511yescharacteristic
685C2×C3D3×#23511yescharacteristic
686C2×C3#6430811yescharacteristic
687D3—41no—
688D3—121no—
689D3—361no—
690D3—361no—
691D3—361no—
692D3—361no—
693D3—721no—
694D3—721no—
695C22—61no—
696C22—61no—
697C22—61no—
698C22—181no—
699C22—181no—
700C22—181no—
701C22—541no—
702C22—541no—
703C22—541no—
704C22—541no—
705C22—541no—
706C22—541no—
707C22C22×D3×D911yescharacteristic
708C4—21no—
709C4—21no—
710C4—21no—
711C4—32no—
712C4—61no—
713C4—61no—
714C4—92no—
715C4—181no—
716C4—181no—
717C4—541no—
718C4—541no—
719C3—21no—
720C3#1058963411yescharacteristic, complemented
721C3#1059397711yescharacteristic
722C2—121no—
723C2—361no—
724C2—1081no—
725C2—1081no—
726C2D3×#369711yescharacteristic
727C2D9×#23511yescharacteristic
728C2#1172247811yescharacteristic
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. #11721712C2semidirect
2. C9×#872C2semidirect
3. C3×#63434C2semidirect
4. #11721042C2semidirect
5. #11721039C2semidirect
6. #11721034C2semidirect
7. #11721033C2semidirect
8. #11721030C2semidirect
9. #11721005C2semidirect
10. #11721002C2semidirect
11. #11720956C2semidirect
12. #11720940C2semidirect
13. #11720905C2semidirect
14. #11720899C2semidirect
15. #11720898C2semidirect
83. #63434D3semidirect
244. #872D9semidirect
468. C3×C9#555semidirect
648. C9#5532semidirect
720. C3#10589634semidirect

Maximal subgroups

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

subgroupindex
#117217122
C9×#8722
C3×#634342
#117210422
#117210392
#117210342
#117210332
#117210302
#117210052
#117210022
#117209562
#117209402
#117209052
#117208992
#117208982
#105939773
#105896343