Finite Group Databasebeta

← #13148191

Subgroups — #13148191

Order 1728.

736 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#11721731C211yesmaximal, characteristic, complemented
2C3×#63446C211yesmaximal, characteristic, complemented
3C9×#878C211yesmaximal, characteristic, complemented
4#11721277C211yesmaximal, characteristic, complemented
5#11721269C211yesmaximal, characteristic, complemented
6#11721259C211yesmaximal, characteristic, complemented
7#11721256C211yesmaximal, characteristic, complemented
8#11720996C211yesmaximal, characteristic, complemented
9#11720986C211yesmaximal, characteristic, complemented
10#11720983C211yesmaximal, characteristic, complemented
11#11720951C211yesmaximal, characteristic, complemented
12#11720945C211yesmaximal, characteristic, complemented
13#11720942C211yesmaximal, characteristic, complemented
14#11720938C211yesmaximal, characteristic, complemented
15#11720928C211yesmaximal, characteristic, complemented
16#10594174—31nomaximal
17#10589749—31nomaximal
18C2×#6233C2211yescharacteristic
19C2×#6226C2211yescharacteristic
20C2×C3×#611C2211yescharacteristic
21C2×C3×#611C2211yescharacteristic
22C22×C9×Dic3C2211yescharacteristic
23C2×C3×D36C2211yescharacteristic
24C2×C3×C4×D9C2211yescharacteristic
25C2×C9×Dic6C2211yescharacteristic
26C2×#6192C2211yescharacteristic
27C2×#6192C2211yescharacteristic
28C2×(C3⋊D9)⋊C4C2211yescharacteristic
29C2×Dic3×D9C2211yescharacteristic
30C3×C9×C22⋊C4C2211yescharacteristic
31#88551C2211yescharacteristic
32#88536C2211yescharacteristic
33#88536C2211yescharacteristic
34C4×C3⋊Dic9C2211yescharacteristic
35C9×#217C2211yescharacteristic
36C3×(C2×D9)⋊C4C2211yescharacteristic
37C9×C4⋊Dic3C2211yescharacteristic
38C9×Dic3⋊C4C2211yescharacteristic
39C9×Dic3⋊C4C2211yescharacteristic
40C3×Dic9⋊C4C2211yescharacteristic
41#88445C2211yescharacteristic
42(C2×D9)⋊Dic3C2211yescharacteristic
43(C2×D9)⋊Dic3C2211yescharacteristic
44(C2×D9)⋊Dic3C2211yescharacteristic
45(C2×D9)⋊Dic3C2211yescharacteristic
46(C2×D9)⋊Dic3C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48Dic3⋊Dic9C2211yescharacteristic
49#88442C2211yescharacteristic
50#88442C2211yescharacteristic
51#88442C2211yescharacteristic
52Dic9⋊Dic3C2211yescharacteristic
53#64094—31no—
54C3×#884—31no—
55C3×#878D311yescharacteristic
56#63978—31no—
57#63969—31no—
58#63961—31no—
59#63958—31no—
60#63896—31no—
61#63888—31no—
62#63886—31no—
63#63870—31no—
64#63863—31no—
65#63857—31no—
66#63854—31no—
67#63850—31no—
68C9×C22⋊Q8—31no—
69#63509—31no—
70#63508—31no—
71#63492—31no—
72#63491—31no—
73#63459—31no—
74#63458—31no—
75#63457—31no—
76#63456—31no—
77#63456—31no—
78#63451—31no—
79#63447—31no—
80#63447—61no—
81#63446—31no—
82#63446D311yescharacteristic, complemented
83#63445—31no—
84C23×C3×C9C2311yescharacteristic
85C22×C3⋊D9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
87C22×C3×D9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90#6233—41no—
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94#6226—41no—
95C3×#611—41no—
96C3×#611—41no—
97C2×C9×Dic3—41no—
98C2×C9×Dic3C2311yescharacteristic
99C2×C9×Dic3C2311yescharacteristic
100C2×C9×Dic3C2311yescharacteristic
101C2×C9×Dic3C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103C2×C3×Dic9C2311yescharacteristic
104C3×D36—41no—
105C3×C4×D9—41no—
106C9×Dic6—41no—
107#6192—41no—
108#6192—41no—
109(C3⋊D9)⋊C4—41no—
110Dic3×D9—41no—
111#5647—91no—
112#5621—91no—
113C2×#638—31no—
114C2×#634—31no—
115C2×C3×#67—31no—
116C2×C3×#67—31no—
117C22×C3×Dic3C2×D311yescharacteristic
118C2×C3×D12—31no—
119C2×C3×C4×D3—31no—
120C2×C3×Dic6C2×D311yescharacteristic
121C2×#626—31no—
122C2×#626—31no—
123C2×#624—31no—
124C2×D3×Dic3—31no—
125C32×C22⋊C4C2×D311yescharacteristic
126#3757—31no—
127#3752—31no—
128#3752—31no—
129C4×C3⋊Dic3—31no—
130C3×#217C2×D311yescharacteristic
131C3×(C2×D3)⋊C4—31no—
132C3×C4⋊Dic3C2×D311yescharacteristic
133C3×Dic3⋊C4—31no—
134C3×Dic3⋊C4C2×D311yescharacteristic
135C3×Dic3⋊C4C2×D311yescharacteristic
136#3724—31no—
137#3724—31no—
138#3724—31no—
139Dic3⋊Dic3—31no—
140Dic3⋊Dic3—31no—
141Dic3⋊Dic3—31no—
142#3722—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×Q8×C9—31no—
149C22×C4×C9—31no—
150C2×#611—31no—
151C2×#611—61no—
152C2×#611C2×D311yescharacteristic
153C2×#611C2×D311yescharacteristic
154C2×D36—31no—
155C2×D36—31no—
156C2×D36C2×D311yescharacteristic
157C2×C4×D9—31no—
158C2×C4×D9—31no—
159C2×C4×D9C2×D311yescharacteristic
160C2×Dic18—31no—
161C2×Dic18—61no—
162C9×C4⋊C4—31no—
163C9×C4⋊C4—31no—
164C9×C4⋊C4—31no—
165C9×C22⋊C4—21no—
166C9×C22⋊C4—31no—
167C9×C22⋊C4C2×D311yescharacteristic
168#3676—31no—
169#3676—61no—
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—61no—
179(C2×D9)⋊C4—61no—
180(C2×D9)⋊C4C2×D311yescharacteristic
181C4⋊Dic9—31no—
182C4⋊Dic9—31no—
183Dic9⋊C4—31no—
184Dic9⋊C4—31no—
185Dic9⋊C4—31no—
186Dic9⋊C4—31no—
187Dic9⋊C4C2×D311yescharacteristic
188C4×Dic9—31no—
189C4×Dic9—61no—
190C22×C3×C9—21no—
191C22×C3×C9—21no—
192C22×C3×C9—21no—
193C22×C3×C9C2411yescharacteristic
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⋊Dic9—21no—
206C3⋊Dic9—21no—
207C3⋊Dic9—21no—
208C9×Dic3—21no—
209C9×Dic3—21no—
210C9×Dic3—21no—
211C9×Dic3—21no—
212C3×Dic9—21no—
213C3×Dic9—21no—
214C3×C22⋊Q8—31no—
215C3×#121—91no—
216#947—91no—
217#946—91no—
218#939—91no—
219#939—91no—
220#938—91no—
221#936—91no—
222#935—91no—
223#935—91no—
224#930—91no—
225#929—91no—
226#929—91no—
227#924—91no—
228#897—91no—
229#896—91no—
230#896—91no—
231#895—91no—
232#894—91no—
233#894—91no—
234#889—91no—
235#889—91no—
236#885—91no—
237#885—91no—
238#885—181no—
239#884—31no—
240#884—91no—
241#883—91no—
242#883—91no—
243#878—91no—
244#878D911yescharacteristic, complemented
245C23×C32C22×D311yescharacteristic
246C22×C3⋊D3—31no—
247C22×C3×D3—31no—
248C22×C3×D3—31no—
249C2×C32×C4C22×D311yescharacteristic
250C2×C32×C4C22×D311yescharacteristic
251#638—121no—
252C2×C3⋊Dic3—31no—
253C2×C3⋊Dic3—31no—
254C2×C3⋊Dic3—31no—
255#634—121no—
256C3×#67—121no—
257C3×#67—121no—
258C2×C3×Dic3—31no—
259C2×C3×Dic3—31no—
260C2×C3×Dic3—41no—
261C2×C3×Dic3C22×D311yescharacteristic
262C2×C3×Dic3C22×D311yescharacteristic
263C2×C3×Dic3C22×D311yescharacteristic
264C2×C3×Dic3C22×D311yescharacteristic
265C3×D12—121no—
266C3×C4×D3—121no—
267C3×Dic6—41no—
268#626—121no—
269#626—121no—
270#624—121no—
271D3×Dic3—121no—
272C23×C9—21no—
273C23×C9C22×D311yescharacteristic
274C22×D9—31no—
275C22×D9—61no—
276C22×D9C22×D311yescharacteristic
277C22×D9C22×D311yescharacteristic
278Q8×C9—121no—
279C2×C4×C9—21no—
280C2×C4×C9—21no—
281C2×C4×C9—31no—
282C2×C4×C9—31no—
283C2×C4×C9—31no—
284C2×C4×C9—31no—
285C2×C4×C9—121no—
286C2×C4×C9C22×D311yescharacteristic
287C2×C4×C9C22×D311yescharacteristic
288#611—41no—
289#611—41no—
290#611—121no—
291#611—122no—
292C2×Dic9—31no—
293C2×Dic9—31no—
294C2×Dic9—31no—
295C2×Dic9—61no—
296C2×Dic9—61no—
297C2×Dic9—61no—
298C2×Dic9C22×D311yescharacteristic
299C2×Dic9C22×D311yescharacteristic
300D36—41no—
301D36—121no—
302D36—121no—
303C4×D9—41no—
304C4×D9—121no—
305C4×D9—121no—
306Dic18—121no—
307Dic18—122no—
308#562—271noSylow
309C2×C3×C9—41no—
310C2×C3×C9H(5,𝔽2)11yescharacteristic
311C2×C3×C9H(5,𝔽2)11yescharacteristic
312C2×C3×C92−1+411yescharacteristic
313C3⋊D9—41no—
314C3×D9—41no—
315C3×D9—41no—
316C2×C3×Q8—31no—
317C2×C3×D4—91no—
318C2×C3×D4—91no—
319C2×C3×D4—91no—
320C22×C3×C4—31no—
321C22×C3×C4—91no—
322C2×#67—31no—
323C2×#67—31no—
324C2×#67—91no—
325C2×#67—91no—
326C2×#67—91no—
327C2×#67—91no—
328C2×#67—181no—
329C22×Dic3—91no—
330C22×Dic3C2×D911yescharacteristic
331C2×D12—31no—
332C2×D12—91no—
333C2×D12—91no—
334C2×C4×D3—31no—
335C2×C4×D3—91no—
336C2×C4×D3—91no—
337C2×C4×D3—91no—
338C2×Dic6—91no—
339C2×Dic6—91no—
340C2×Dic6—181no—
341C2×Dic6C2×D911yescharacteristic
342C3×C4⋊C4—31no—
343C3×C4⋊C4—31no—
344C3×C4⋊C4—31no—
345C3×C4⋊C4—91no—
346C3×C22⋊C4—21no—
347C3×C22⋊C4—31no—
348C3×C22⋊C4—91no—
349C3×C22⋊C4C2×D911yescharacteristic
350C3×C22⋊C4D3211yescharacteristic
351#217—91no—
352#217—91no—
353#217—91no—
354#217—91no—
355#217—91no—
356#217—91no—
357#217—91no—
358#217—181no—
359#217C2×D911yescharacteristic
360(C2×D3)⋊C4—31no—
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—181no—
373(C2×D3)⋊C4—181no—
374C4⋊Dic3—91no—
375C4⋊Dic3—91no—
376C4⋊Dic3—91no—
377C4⋊Dic3C2×D911yescharacteristic
378Dic3⋊C4—31no—
379Dic3⋊C4—91no—
380Dic3⋊C4—91no—
381Dic3⋊C4—91no—
382Dic3⋊C4—91no—
383Dic3⋊C4—91no—
384Dic3⋊C4—91no—
385Dic3⋊C4—91no—
386Dic3⋊C4—91no—
387Dic3⋊C4—91no—
388Dic3⋊C4C2×D911yescharacteristic
389Dic3⋊C4C2×D911yescharacteristic
390C4×Dic3—91no—
391C4×Dic3—91no—
392C4×Dic3—181no—
393C22×C32—21no—
394C22×C32—21no—
395C22×C32—21no—
396C22×C32C23×D311yescharacteristic
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—
408C3⋊Dic3—61no—
409C3⋊Dic3—61no—
410C3⋊Dic3—61no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—61no—
416C3×Dic3—61no—
417C22×C9—21no—
418C22×C9—21no—
419C22×C9—21no—
420C22×C9—21no—
421C22×C9—41no—
422C22×C9—41no—
423C22×C9—41no—
424C22×C9C23×D311yescharacteristic
425C2×D9—21no—
426C2×D9—21no—
427C2×D9—21no—
428C2×D9—21no—
429C2×D9—21no—
430C2×D9—21no—
431C2×D9—61no—
432C2×D9—61no—
433C2×D9—61no—
434C2×D9—121no—
435C2×D9—121no—
436C2×D9—121no—
437C4×C9—21no—
438C4×C9—21no—
439C4×C9—41no—
440C4×C9—41no—
441C4×C9—61no—
442C4×C9—61no—
443C4×C9—61no—
444C4×C9—61no—
445Dic9—21no—
446Dic9—21no—
447Dic9—62no—
448Dic9—61no—
449Dic9—61no—
450Dic9—61no—
451Dic9—121no—
452Dic9—121no—
453#125—271no—
454#124—271no—
455#124—271no—
456#123—271no—
457#123—271no—
458#123—271no—
459#123—271no—
460C22⋊Q8—31no—
461C22⋊Q8—271no—
462C22⋊Q8—271no—
463C22⋊Q8—271no—
464#121—91no—
465#121—271no—
466#121—271no—
467#121—271no—
468C3×C9#56211yescharacteristic, complemented, Sylow
469C23×C3—21no—
470C23×C3—91no—
471C23×C3—91no—
472C23×C3C22×D911yescharacteristic
473C23×C3C2×D3211yescharacteristic
474C22×D3—31no—
475C22×D3—31no—
476C22×D3—91no—
477C22×D3—91no—
478C22×D3—181no—
479C3×Q8—121no—
480C3×D4—361no—
481C3×D4—361no—
482C3×D4—361no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—91no—
490C2×C3×C4—91no—
491C2×C3×C4—121no—
492C2×C3×C4—361no—
493C2×C3×C4C22×D911yescharacteristic
494C2×C3×C4C22×D911yescharacteristic
495C2×C3×C4C2×D3211yescharacteristic
496C2×C3×C4C2×D3211yescharacteristic
497#67—121no—
498#67—121no—
499#67—361no—
500#67—361no—
501#67—361no—
502#67—361no—
503#67—362no—
504C2×Dic3—31no—
505C2×Dic3—31no—
506C2×Dic3—41no—
507C2×Dic3—91no—
508C2×Dic3—91no—
509C2×Dic3—91no—
510C2×Dic3—91no—
511C2×Dic3—91no—
512C2×Dic3—91no—
513C2×Dic3—181no—
514C2×Dic3—181no—
515C2×Dic3—181no—
516C2×Dic3—361no—
517C2×Dic3C22×D911yescharacteristic
518C2×Dic3C22×D911yescharacteristic
519C2×Dic3C22×D911yescharacteristic
520C2×Dic3C22×D911yescharacteristic
521D12—121no—
522D12—361no—
523D12—361no—
524C4×D3—121no—
525C4×D3—361no—
526C4×D3—361no—
527C4×D3—361no—
528Dic6—41no—
529Dic6—361no—
530Dic6—361no—
531Dic6—362no—
532C2×C32—41no—
533C2×C32#100411yescharacteristic
534C2×C32#100711yescharacteristic
535C2×C32#100911yescharacteristic
536C3⋊D3—121no—
537C3×D3—121no—
538C3×D3—121no—
539C2×C9—21no—
540C2×C9—21no—
541C2×C9—21no—
542C2×C9—41no—
543C2×C9—81no—
544C2×C9#100411yescharacteristic
545C2×C9#100411yescharacteristic
546C2×C9#101011yescharacteristic
547D9—41no—
548D9—41no—
549D9—121no—
550D9—241no—
551C2×Q8—31no—
552C2×Q8—271no—
553C2×D4—91no—
554C2×D4—91no—
555C2×D4—91no—
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—31no—
566C4⋊C4—91no—
567C4⋊C4—271no—
568C4⋊C4—271no—
569C4⋊C4—271no—
570C4⋊C4—271no—
571C4⋊C4—271no—
572C4⋊C4—271no—
573C22⋊C4—31no—
574C22⋊C4—91no—
575C22⋊C4—271no—
576C22⋊C4—271no—
577C22⋊C4—271no—
578C22⋊C4—271no—
579C22⋊C4—271no—
580C22⋊C4—271no—
581C22⋊C4—271no—
582C22⋊C4—271no—
583C22⋊C4—271no—
584C22⋊C4D3×D911yescharacteristic
585C42—271no—
586C22×C3—21no—
587C22×C3—21no—
588C22×C3—21no—
589C22×C3—21no—
590C22×C3—21no—
591C22×C3—21no—
592C22×C3—21no—
593C22×C3—41no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—181no—
597C22×C3—181no—
598C22×C3—181no—
599C22×C3—181no—
600C22×C3—181no—
601C22×C3—181no—
602C22×C3C23×D911yescharacteristic
603C22×C3C22×D3211yescharacteristic
604C2×D3—61no—
605C2×D3—61no—
606C2×D3—61no—
607C2×D3—61no—
608C2×D3—61no—
609C2×D3—61no—
610C2×D3—181no—
611C2×D3—181no—
612C2×D3—181no—
613C2×D3—181no—
614C2×D3—181no—
615C2×D3—181no—
616C2×D3—361no—
617C2×D3—361no—
618C2×D3—361no—
619C3×C4—21no—
620C3×C4—21no—
621C3×C4—21no—
622C3×C4—21no—
623C3×C4—41no—
624C3×C4—41no—
625C3×C4—61no—
626C3×C4—61no—
627C3×C4—61no—
628C3×C4—61no—
629C3×C4—181no—
630C3×C4—181no—
631Dic3—21no—
632Dic3—21no—
633Dic3—21no—
634Dic3—21no—
635Dic3—61no—
636Dic3—61no—
637Dic3—182no—
638Dic3—181no—
639Dic3—181no—
640Dic3—181no—
641Dic3—181no—
642Dic3—181no—
643Dic3—181no—
644Dic3—361no—
645Dic3—361no—
646C32#564711yescharacteristic
647C9—21no—
648C9#562111yescharacteristic, complemented
649C23—91no—
650C23—91no—
651C23—271no—
652C23C2×D3×D911yescharacteristic
653Q8—121no—
654Q8—1081no—
655D4—361no—
656D4—361no—
657D4—361no—
658D4—1081no—
659D4—1081no—
660D4—1081no—
661C2×C4—31no—
662C2×C4—31no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—91no—
666C2×C4—91no—
667C2×C4—121no—
668C2×C4—271no—
669C2×C4—271no—
670C2×C4—271no—
671C2×C4—361no—
672C2×C4—1081no—
673C2×C4—1081no—
674C2×C4C2×D3×D911yescharacteristic
675C2×C4C2×D3×D911yescharacteristic
676C2×C3—21no—
677C2×C3—21no—
678C2×C3—21no—
679C2×C3—41no—
680C2×C3—41no—
681C2×C3—81no—
682C2×C3—361no—
683C2×C3—361no—
684C2×C3#6371011yescharacteristic
685C2×C3#6371311yescharacteristic
686C2×C3#6371511yescharacteristic
687C2×C3#6429711yescharacteristic
688C2×C3#6431311yescharacteristic
689C2×C3#6431411yescharacteristic
690D3—121no—
691D3—121no—
692D3—361no—
693D3—361no—
694D3—721no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—181no—
699C22—181no—
700C22—181no—
701C22—181no—
702C22—181no—
703C22—181no—
704C22—541no—
705C22—541no—
706C22—541no—
707C22C22×D3×D911yescharacteristic
708C4—21no—
709C4—21no—
710C4—61no—
711C4—61no—
712C4—61no—
713C4—61no—
714C4—181no—
715C4—181no—
716C4—541no—
717C4—541no—
718C4—541no—
719C3—21no—
720C3#1058974911yescharacteristic, complemented
721C3#1059417411yescharacteristic
722C2—41no—
723C2—361no—
724C2—361no—
725C2—1081no—
726C2#1172245811yescharacteristic
727C2#1172249911yescharacteristic
728C2#1172250111yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
socleC22×C32C23×D3
hypercenterC22⋊C4D3×D9
hypocenterC3×C9#562
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. #11721731C2semidirect
2. C3×#63446C2semidirect
3. C9×#878C2semidirect
4. #11721277C2semidirect
5. #11721269C2semidirect
6. #11721259C2semidirect
7. #11721256C2semidirect
8. #11720996C2semidirect
9. #11720986C2semidirect
10. #11720983C2semidirect
11. #11720951C2semidirect
12. #11720945C2semidirect
13. #11720942C2semidirect
14. #11720938C2semidirect
15. #11720928C2semidirect
82. #63446D3semidirect
244. #878D9semidirect
468. C3×C9#562semidirect
648. C9#5621semidirect
720. C3#10589749semidirect

Maximal subgroups

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

subgroupindex
#117217312
C3×#634462
C9×#8782
#117212772
#117212692
#117212592
#117212562
#117209962
#117209862
#117209832
#117209512
#117209452
#117209422
#117209382
#117209282
#105941743
#105897493