Finite Group Databasebeta

← #13148952

Subgroups — #13148952

Order 1728.

734 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721752C211yesmaximal, characteristic, complemented
2C3×#63457C211yesmaximal, characteristic, complemented
3C9×#889C211yesmaximal, characteristic, complemented
4#11721007C211yesmaximal, characteristic, complemented
5#11720999C211yesmaximal, characteristic, complemented
6#11720996C211yesmaximal, characteristic, complemented
7#11720983C211yesmaximal, characteristic, complemented
8#11720983C211yesmaximal, characteristic, complemented
9#11720981C211yesmaximal, characteristic, complemented
10#11720981C211yesmaximal, characteristic, complemented
11#11720948C211yesmaximal, characteristic, complemented
12#11720941C211yesmaximal, characteristic, complemented
13#11720940C211yesmaximal, characteristic, complemented
14#11720939C211yesmaximal, characteristic, complemented
15#11720938C211yesmaximal, characteristic, complemented
16#10594493—31nomaximal
17#10589802—31nomaximal
18C2×C4×C3⋊D9C2211yescharacteristic
19C2×#6226C2211yescharacteristic
20C2×C3×D36C2211yescharacteristic
21C2×C3×D36C2211yescharacteristic
22C2×C3×D36C2211yescharacteristic
23C2×C3×C4×D9C2211yescharacteristic
24C2×#6192C2211yescharacteristic
25C2×#6192C2211yescharacteristic
26C2×#6192C2211yescharacteristic
27C2×Dic3×D9C2211yescharacteristic
28C2×Dic3×D9C2211yescharacteristic
29C2×#6189C2211yescharacteristic
30C3×C9×C4⋊C4C2211yescharacteristic
31#88536C2211yescharacteristic
32#88536C2211yescharacteristic
33#88534C2211yescharacteristic
34#88534C2211yescharacteristic
35C3×(C2×D9)⋊C4C2211yescharacteristic
36C3×(C2×D9)⋊C4C2211yescharacteristic
37C9×C4⋊Dic3C2211yescharacteristic
38C9×Dic3⋊C4C2211yescharacteristic
39C9×Dic3⋊C4C2211yescharacteristic
40C9×Dic3⋊C4C2211yescharacteristic
41C9×Dic3⋊C4C2211yescharacteristic
42C4×C9×Dic3C2211yescharacteristic
43#88445C2211yescharacteristic
44(C2×D9)⋊Dic3C2211yescharacteristic
45(C2×D9)⋊Dic3C2211yescharacteristic
46(C2×D9)⋊Dic3C2211yescharacteristic
47(C2×D9)⋊Dic3C2211yescharacteristic
48(C2×D9)⋊Dic3C2211yescharacteristic
49(C2×D9)⋊Dic3C2211yescharacteristic
50(C2×D9)⋊Dic3C2211yescharacteristic
51#88442C2211yescharacteristic
52Dic9⋊Dic3C2211yescharacteristic
53#64105—31no—
54C3×#895—31no—
55C3×#889D311yescharacteristic
56#63916—31no—
57#63899—31no—
58#63896—31no—
59#63886—31no—
60#63886—31no—
61#63884—31no—
62#63884—31no—
63#63860—31no—
64#63853—31no—
65#63852—31no—
66#63851—31no—
67#63850—31no—
68C9×#125—31no—
69#63458—31no—
70#63458—31no—
71#63458—31no—
72#63458—31no—
73#63458—61no—
74#63457—31no—
75#63457—31no—
76#63457—31no—
77#63457D311yescharacteristic, complemented
78#63456—31no—
79#63456—31no—
80#63456—31no—
81#63456—31no—
82#63437—31no—
83#63437—31no—
84C22×C3⋊D9C2311yescharacteristic
85C22×C3×D9C2311yescharacteristic
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—41no—
95#6226—41no—
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C9×Dic3C2311yescharacteristic
99C2×C9×Dic3C2311yescharacteristic
100C2×C3×Dic9C2311yescharacteristic
101C3×D36—41no—
102C3×D36—41no—
103C3×D36—41no—
104C3×C4×D9—41no—
105#6192—41no—
106#6192—41no—
107#6192—41no—
108Dic3×D9—41no—
109Dic3×D9—41no—
110#6189—41no—
111#5700—91no—
112#5621—91no—
113C2×C4×C3⋊D3—31no—
114C2×#634—31no—
115C2×C3×D12—31no—
116C2×C3×D12—31no—
117C2×C3×D12—31no—
118C2×C3×C4×D3—31no—
119C2×#627—31no—
120C2×#626—31no—
121C2×#626—31no—
122C2×#626—31no—
123C2×D3×Dic3—31no—
124C2×D3×Dic3—31no—
125C32×C4⋊C4C2×D311yescharacteristic
126#3752—31no—
127#3752—31no—
128#3750—31no—
129#3750—31no—
130C3×(C2×D3)⋊C4—31no—
131C3×(C2×D3)⋊C4—31no—
132C3×C4⋊Dic3C2×D311yescharacteristic
133C3×Dic3⋊C4C2×D311yescharacteristic
134C3×Dic3⋊C4C2×D311yescharacteristic
135C3×Dic3⋊C4C2×D311yescharacteristic
136C3×Dic3⋊C4C2×D311yescharacteristic
137C3×C4×Dic3C2×D311yescharacteristic
138#3724—31no—
139Dic3⋊Dic3—31no—
140#3722—31no—
141(C2×D3)⋊Dic3—31no—
142(C2×D3)⋊Dic3—31no—
143(C2×D3)⋊Dic3—31no—
144(C2×D3)⋊Dic3—31no—
145(C2×D3)⋊Dic3—31no—
146(C2×D3)⋊Dic3—31no—
147(C2×D3)⋊Dic3—31no—
148C2×D36—31no—
149C2×D36—31no—
150C2×D36—31no—
151C2×D36C2×D311yescharacteristic
152C2×D36C2×D311yescharacteristic
153C2×D36C2×D311yescharacteristic
154C2×C4×D9—31no—
155C2×C4×D9—31no—
156C2×C4×D9—31no—
157C2×C4×D9—61no—
158C2×C4×D9C2×D311yescharacteristic
159C2×Dic18—31no—
160C2×Dic18—31no—
161C2×Dic18—61no—
162C9×C4⋊C4—21no—
163C9×C4⋊C4—31no—
164C9×C4⋊C4—31no—
165C9×C4⋊C4—31no—
166C9×C4⋊C4—31no—
167C9×C4⋊C4—31no—
168C9×C4⋊C4C2×D311yescharacteristic
169C42×C9—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—31no—
178(C2×D9)⋊C4—31no—
179(C2×D9)⋊C4—31no—
180(C2×D9)⋊C4—61no—
181(C2×D9)⋊C4—61no—
182(C2×D9)⋊C4C2×D311yescharacteristic
183(C2×D9)⋊C4C2×D311yescharacteristic
184Dic9⋊C4—31no—
185Dic9⋊C4—31no—
186Dic9⋊C4—31no—
187Dic9⋊C4—31no—
188Dic9⋊C4—61no—
189Dic9⋊C4—61no—
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×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—21no—
209C9×Dic3—21no—
210C9×Dic3—21no—
211C9×Dic3—21no—
212C9×Dic3—21no—
213C3×Dic9—21no—
214C3×#125—31no—
215C3×#121—91no—
216#939—91no—
217#939—91no—
218#938—91no—
219#936—91no—
220#935—91no—
221#935—91no—
222#929—91no—
223#924—91no—
224#896—91no—
225#896—91no—
226#896—91no—
227#896—91no—
228#896—91no—
229#896—181no—
230#895—31no—
231#895—91no—
232#895—91no—
233#895—91no—
234#894—91no—
235#894—91no—
236#894—91no—
237#894—91no—
238#889D911yescharacteristic, complemented
239#885—91no—
240#883—91no—
241#878—91no—
242#878—91no—
243#875—91no—
244#875—91no—
245C22×C3⋊D3—31no—
246C22×C3×D3—31no—
247C22×C3×D3—31no—
248C22×C3×D3—31no—
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—121no—
256#634—121no—
257C2×C3×Dic3—31no—
258C2×C3×Dic3C22×D311yescharacteristic
259C2×C3×Dic3C22×D311yescharacteristic
260C2×C3×Dic3C22×D311yescharacteristic
261C2×C3×Dic3C22×D311yescharacteristic
262C3×D12—121no—
263C3×D12—121no—
264C3×D12—121no—
265C3×C4×D3—121no—
266#627—121no—
267#626—121no—
268#626—121no—
269#626—121no—
270D3×Dic3—121no—
271D3×Dic3—121no—
272C22×D9—31no—
273C22×D9—61no—
274C22×D9C22×D311yescharacteristic
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—31no—
284C2×C4×C9C22×D311yescharacteristic
285C2×C4×C9C22×D311yescharacteristic
286C2×C4×C9C22×D311yescharacteristic
287C2×Dic9—31no—
288C2×Dic9—31no—
289C2×Dic9—31no—
290C2×Dic9—61no—
291C2×Dic9—61no—
292C2×Dic9—61no—
293C2×Dic9C22×D311yescharacteristic
294D36—41no—
295D36—41no—
296D36—41no—
297D36—121no—
298D36—121no—
299D36—121no—
300C4×D9—41no—
301C4×D9—121no—
302C4×D9—122no—
303C4×D9—121no—
304C4×D9—121no—
305Dic18—121no—
306Dic18—121no—
307Dic18—122no—
308#562—271noSylow
309C2×C3×C9H(5,𝔽2)11yescharacteristic
310C2×C3×C9H(5,𝔽2)11yescharacteristic
311C2×C3×C92−1+411yescharacteristic
312C3⋊D9—41no—
313C3×D9—41no—
314C3×D9—41no—
315C3×D9—41no—
316C2×C3×D4—91no—
317C2×C3×D4—91no—
318C2×C3×D4—91no—
319C22×C3×C4—91no—
320C2×#67—91no—
321C2×#67—91no—
322C2×#67—91no—
323C22×Dic3—91no—
324C22×Dic3—91no—
325C2×D12—31no—
326C2×D12—31no—
327C2×D12—31no—
328C2×D12—91no—
329C2×D12—91no—
330C2×D12—91no—
331C2×C4×D3—31no—
332C2×C4×D3—91no—
333C2×C4×D3—91no—
334C2×C4×D3—91no—
335C2×C4×D3—91no—
336C2×C4×D3—181no—
337C2×Dic6—91no—
338C2×Dic6—91no—
339C2×Dic6—91no—
340C2×Dic6—91no—
341C2×Dic6—181no—
342C3×C4⋊C4—21no—
343C3×C4⋊C4—31no—
344C3×C4⋊C4—31no—
345C3×C4⋊C4—31no—
346C3×C4⋊C4—31no—
347C3×C4⋊C4—31no—
348C3×C4⋊C4C2×D911yescharacteristic
349C3×C4⋊C4D3211yescharacteristic
350C3×C22⋊C4—91no—
351C3×C22⋊C4—91no—
352C3×C42—31no—
353#217—91no—
354#217—91no—
355#217—91no—
356#217—91no—
357#217—91no—
358#217—91no—
359#217—91no—
360(C2×D3)⋊C4—31no—
361(C2×D3)⋊C4—31no—
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—91no—
374(C2×D3)⋊C4—91no—
375(C2×D3)⋊C4—181no—
376(C2×D3)⋊C4—181no—
377C4⋊Dic3—91no—
378C4⋊Dic3C2×D911yescharacteristic
379Dic3⋊C4—91no—
380Dic3⋊C4—91no—
381Dic3⋊C4—91no—
382Dic3⋊C4—91no—
383Dic3⋊C4—91no—
384Dic3⋊C4—91no—
385Dic3⋊C4—91no—
386Dic3⋊C4—181no—
387Dic3⋊C4—181no—
388Dic3⋊C4C2×D911yescharacteristic
389Dic3⋊C4C2×D911yescharacteristic
390Dic3⋊C4C2×D911yescharacteristic
391Dic3⋊C4C2×D911yescharacteristic
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—61no—
401C2×C3×D3—61no—
402C2×C3×D3—61no—
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—61no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—61no—
417C22×C9—21no—
418C22×C9C23×D311yescharacteristic
419C2×D9—21no—
420C2×D9—21no—
421C2×D9—21no—
422C2×D9—21no—
423C2×D9—21no—
424C2×D9—21no—
425C2×D9—21no—
426C2×D9—21no—
427C2×D9—21no—
428C2×D9—62no—
429C2×D9—61no—
430C2×D9—61no—
431C2×D9—61no—
432C2×D9—121no—
433C2×D9—121no—
434C4×C9—21no—
435C4×C9—21no—
436C4×C9—21no—
437C4×C9—41no—
438C4×C9—41no—
439C4×C9—41no—
440C4×C9—61no—
441C4×C9—61no—
442C4×C9—61no—
443C4×C9—61no—
444Dic9—21no—
445Dic9—62no—
446Dic9—61no—
447Dic9—61no—
448Dic9—61no—
449Dic9—121no—
450Dic9—121no—
451#125—31no—
452#124—271no—
453#124—271no—
454#123—271no—
455#123—271no—
456#123—271no—
457#123—271no—
458C22⋊Q8—271no—
459C22⋊Q8—271no—
460C22⋊Q8—271no—
461C22⋊Q8—271no—
462#121—91no—
463#121—271no—
464#121—271no—
465#121—271no—
466C3×C9#56211yescharacteristic, complemented, Sylow
467C23×C3—91no—
468C23×C3—91no—
469C23×C3—91no—
470C22×D3—31no—
471C22×D3—31no—
472C22×D3—31no—
473C22×D3—91no—
474C22×D3—91no—
475C22×D3—181no—
476C3×D4—361no—
477C3×D4—361no—
478C3×D4—361no—
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—31no—
486C2×C3×C4—91no—
487C2×C3×C4—361no—
488C2×C3×C4C22×D911yescharacteristic
489C2×C3×C4C22×D911yescharacteristic
490C2×C3×C4C22×D911yescharacteristic
491C2×C3×C4C2×D3211yescharacteristic
492C2×C3×C4C2×D3211yescharacteristic
493C2×C3×C4C2×D3211yescharacteristic
494#67—361no—
495#67—361no—
496#67—361no—
497C2×Dic3—31no—
498C2×Dic3—91no—
499C2×Dic3—91no—
500C2×Dic3—91no—
501C2×Dic3—91no—
502C2×Dic3—91no—
503C2×Dic3—91no—
504C2×Dic3—181no—
505C2×Dic3—181no—
506C2×Dic3—181no—
507C2×Dic3—361no—
508C2×Dic3—361no—
509C2×Dic3C22×D911yescharacteristic
510C2×Dic3C22×D911yescharacteristic
511C2×Dic3C22×D911yescharacteristic
512C2×Dic3C22×D911yescharacteristic
513D12—121no—
514D12—121no—
515D12—121no—
516D12—361no—
517D12—361no—
518D12—361no—
519C4×D3—121no—
520C4×D3—361no—
521C4×D3—361no—
522C4×D3—362no—
523C4×D3—361no—
524C4×D3—361no—
525Dic6—361no—
526Dic6—361no—
527Dic6—361no—
528Dic6—361no—
529Dic6—362no—
530C2×C32#100711yescharacteristic
531C2×C32#100911yescharacteristic
532C2×C32#100911yescharacteristic
533C3⋊D3—121no—
534C3×D3—121no—
535C3×D3—121no—
536C3×D3—121no—
537C2×C9—21no—
538C2×C9—21no—
539C2×C9—21no—
540C2×C9#100411yescharacteristic
541C2×C9#100411yescharacteristic
542C2×C9#101011yescharacteristic
543D9—41no—
544D9—41no—
545D9—41no—
546D9—122no—
547D9—121no—
548C2×Q8—271no—
549C2×Q8—271no—
550C2×D4—91no—
551C2×D4—91no—
552C2×D4—91no—
553C2×D4—271no—
554C2×D4—271no—
555C2×D4—271no—
556C22×C4—91no—
557C22×C4—271no—
558C22×C4—271no—
559C22×C4—271no—
560C4⋊C4—31no—
561C4⋊C4—31no—
562C4⋊C4—31no—
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—271no—
566C4⋊C4—271no—
567C4⋊C4—271no—
568C4⋊C4—271no—
569C4⋊C4D3×D911yescharacteristic
570C22⋊C4—91no—
571C22⋊C4—91no—
572C22⋊C4—271no—
573C22⋊C4—271no—
574C22⋊C4—271no—
575C22⋊C4—271no—
576C22⋊C4—271no—
577C22⋊C4—271no—
578C22⋊C4—271no—
579C22⋊C4—271no—
580C22⋊C4—271no—
581C22⋊C4—271no—
582C42—31no—
583C22×C3—21no—
584C22×C3—181no—
585C22×C3—181no—
586C22×C3—181no—
587C22×C3—181no—
588C22×C3—181no—
589C22×C3—181no—
590C22×C3—181no—
591C22×C3—181no—
592C22×C3—181no—
593C22×C3C23×D911yescharacteristic
594C22×C3C22×D3211yescharacteristic
595C2×D3—61no—
596C2×D3—61no—
597C2×D3—61no—
598C2×D3—61no—
599C2×D3—61no—
600C2×D3—61no—
601C2×D3—61no—
602C2×D3—61no—
603C2×D3—61no—
604C2×D3—182no—
605C2×D3—181no—
606C2×D3—181no—
607C2×D3—181no—
608C2×D3—181no—
609C2×D3—181no—
610C2×D3—181no—
611C2×D3—361no—
612C2×D3—361no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—61no—
623C3×C4—61no—
624C3×C4—61no—
625C3×C4—61no—
626C3×C4—181no—
627Dic3—21no—
628Dic3—21no—
629Dic3—21no—
630Dic3—21no—
631Dic3—61no—
632Dic3—182no—
633Dic3—181no—
634Dic3—181no—
635Dic3—181no—
636Dic3—181no—
637Dic3—181no—
638Dic3—181no—
639Dic3—361no—
640Dic3—361no—
641C32#570011yescharacteristic
642C9—21no—
643C9#562111yescharacteristic, complemented
644C23—91no—
645C23—91no—
646C23—91no—
647C23—271no—
648Q8—1081no—
649Q8—1081no—
650D4—361no—
651D4—361no—
652D4—361no—
653D4—1081no—
654D4—1081no—
655D4—1081no—
656C2×C4—31no—
657C2×C4—31no—
658C2×C4—31no—
659C2×C4—31no—
660C2×C4—91no—
661C2×C4—271no—
662C2×C4—271no—
663C2×C4—271no—
664C2×C4—361no—
665C2×C4—1081no—
666C2×C4—1081no—
667C2×C4—1081no—
668C2×C4C2×D3×D911yescharacteristic
669C2×C4C2×D3×D911yescharacteristic
670C2×C4C2×D3×D911yescharacteristic
671C2×C3—21no—
672C2×C3—21no—
673C2×C3—21no—
674C2×C3—361no—
675C2×C3—361no—
676C2×C3—361no—
677C2×C3#6371311yescharacteristic
678C2×C3#6371511yescharacteristic
679C2×C3#6371511yescharacteristic
680C2×C3#6430711yescharacteristic
681C2×C3#6431411yescharacteristic
682C2×C3#6431511yescharacteristic
683D3—121no—
684D3—121no—
685D3—121no—
686D3—362no—
687D3—361no—
688D3—361no—
689C22—181no—
690C22—181no—
691C22—181no—
692C22—181no—
693C22—181no—
694C22—181no—
695C22—181no—
696C22—181no—
697C22—181no—
698C22—541no—
699C22—541no—
700C22—541no—
701C22C22×D3×D911yescharacteristic
702C4—21no—
703C4—21no—
704C4—21no—
705C4—61no—
706C4—61no—
707C4—61no—
708C4—61no—
709C4—181no—
710C4—541no—
711C4—541no—
712C4—541no—
713C3—21no—
714C3#1058980211yescharacteristic, complemented
715C3#1059449311yescharacteristic
716C2—361no—
717C2—361no—
718C2—361no—
719C2—1081no—
720C2#1172247711yescharacteristic
721C2#1172250111yescharacteristic
722C2#1172251011yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C4⋊C4C22
socleC22×C32C23×D3
hypercenterC4⋊C4D3×D9
hypocenterC3×C9#562
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×#63457C2semidirect
3. C9×#889C2semidirect
4. #11721007C2semidirect
5. #11720999C2semidirect
6. #11720996C2semidirect
7. #11720983C2semidirect
8. #11720983C2semidirect
9. #11720981C2semidirect
10. #11720981C2semidirect
11. #11720948C2semidirect
12. #11720941C2semidirect
13. #11720940C2semidirect
14. #11720939C2semidirect
15. #11720938C2semidirect
77. #63457D3semidirect
238. #889D9semidirect
466. C3×C9#562semidirect
643. C9#5621semidirect
714. C3#10589802semidirect

Maximal subgroups

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

subgroupindex
#117217522
C3×#634572
C9×#8892
#117210072
#117209992
#117209962
#117209832
#117209812
#117209482
#117209412
#117209402
#117209392
#117209382
#105944933
#105898023