Finite Group Databasebeta

← #13147682

Subgroups — #13147682

Order 1728.

748 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
1C4×C4⋊(C3⋊D9)C211yesmaximal, characteristic, complemented
2C9×#876C211yesmaximal, characteristic, complemented
3C3×#63432C211yesmaximal, characteristic, complemented
4#11721039C211yesmaximal, characteristic
5#11721023C211yesmaximal, characteristic, complemented
6#11721020C211yesmaximal, characteristic, complemented
7#11721014C211yesmaximal, characteristic, complemented
8#11720997C211yesmaximal, characteristic, complemented
9#11720995C211yesmaximal, characteristic, complemented
10#11720980C211yesmaximal, characteristic, complemented
11#11720958C211yesmaximal, characteristic, complemented
12#11720957C211yesmaximal, characteristic, complemented
13#11720923C211yesmaximal, characteristic, complemented
14#11720921C211yesmaximal, characteristic, complemented
15#11720914C211yesmaximal, characteristic, complemented
16#10593946—31nomaximal
17#10589809—31nomaximal
18C2×C4⋊(C3⋊D9)C2211yescharacteristic
19C2×C4×C3⋊D9C2211yescharacteristic
20C2×C4×C3⋊D9C2211yescharacteristic
21C2×#6195C2211yescharacteristic
22C2×#6195C2211yescharacteristic
23C2×D3×Dic9C2211yescharacteristic
24C2×(C3⋊D9)⋊C4C2211yescharacteristic
25C2×(C3⋊D9)⋊C4C2211yescharacteristic
26C2×#6189C2211yescharacteristic
27C3×C42×C9C2211yescharacteristic
28#88536C2211yescharacteristic
29#88536C2211yescharacteristic
30C4⋊(C3⋊Dic9)C2211yescharacteristic
31C9×(C2×D3)⋊C4C2211yescharacteristic
32C9×(C2×D3)⋊C4C2211yescharacteristic
33C9×(C2×D3)⋊C4C2211yescharacteristic
34C9×Dic3⋊C4C2211yescharacteristic
35C9×Dic3⋊C4C2211yescharacteristic
36C9×Dic3⋊C4C2211yescharacteristic
37C3×C4⋊Dic9C2211yescharacteristic
38C3×C4⋊Dic9C2211yescharacteristic
39C3×Dic9⋊C4C2211yescharacteristic
40C3×Dic9⋊C4C2211yescharacteristic
41C3×Dic9⋊C4C2211yescharacteristic
42C3×Dic9⋊C4C2211yescharacteristic
43(C2×D3)⋊Dic9C2211yescharacteristic
44#88445C2211yescharacteristic
45#88445C2211yescharacteristic
46#88445C2211yescharacteristic
47#88445C2211yescharacteristic
48Dic3⋊Dic9C2211yescharacteristic
49Dic3⋊Dic9C2211yescharacteristic
50#88442C2211yescharacteristic
51Dic9⋊Dic3C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53C4×C4⋊(C3⋊D3)—31no—
54C3×#876D311yescharacteristic
55C3×#870—31no—
56#63910—31no—
57#63897—31no—
58#63895—31no—
59#63893—31no—
60#63890—31no—
61#63883—31no—
62#63881—31no—
63#63865—31no—
64#63854—31no—
65#63853—31no—
66#63848—31no—
67#63845—31no—
68C9×#126—31no—
69#63460—31no—
70#63459—31no—
71#63458—31no—
72#63456—31no—
73C4⋊C4×D9—31no—
74#63452—31no—
75#63448—31no—
76#63446—31no—
77#63445—31no—
78#63445—31no—
79#611⋊C4—31no—
80#63440—31no—
81C4×D36—31no—
82C4×D36—61no—
83#63432D311yescharacteristic, complemented
84C22×C3⋊D9C2311yescharacteristic
85C22×C3⋊D9C2311yescharacteristic
86C22×D3×C9C2311yescharacteristic
87C2×C3×C4×C9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3⋊Dic9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C4⋊(C3⋊D9)—22no—
93C4×C3⋊D9—41no—
94C4×C3⋊D9—41no—
95C2×C9×Dic3C2311yescharacteristic
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C3×Dic9C2311yescharacteristic
99C2×C3×Dic9C2311yescharacteristic
100C2×C3×Dic9C2311yescharacteristic
101C2×C3×Dic9C2311yescharacteristic
102#6195—22no—
103#6195—41no—
104D3×Dic9—41no—
105(C3⋊D9)⋊C4—22no—
106(C3⋊D9)⋊C4—41no—
107#6189—41no—
108#5707—91no—
109#5692—91no—
110C2×C4⋊(C3⋊D3)—31no—
111C2×C4×C3⋊D3—31no—
112C2×C4×C3⋊D3—31no—
113C2×#627—31no—
114C2×#626—31no—
115C2×#626—31no—
116C2×#624—31no—
117C2×#624—31no—
118C2×D3×Dic3—31no—
119C32×C42C2×D311yescharacteristic
120#3752—31no—
121#3752—31no—
122C4⋊(C3⋊Dic3)—31no—
123C3×(C2×D3)⋊C4C2×D311yescharacteristic
124C3×(C2×D3)⋊C4C2×D311yescharacteristic
125C3×(C2×D3)⋊C4C2×D311yescharacteristic
126C3×C4⋊Dic3—31no—
127C3×C4⋊Dic3—31no—
128C3×Dic3⋊C4—31no—
129C3×Dic3⋊C4—31no—
130C3×Dic3⋊C4—31no—
131C3×Dic3⋊C4—31no—
132C3×Dic3⋊C4C2×D311yescharacteristic
133C3×Dic3⋊C4C2×D311yescharacteristic
134C3×Dic3⋊C4C2×D311yescharacteristic
135#3724—31no—
136Dic3⋊Dic3—31no—
137Dic3⋊Dic3—31no—
138Dic3⋊Dic3—31no—
139#3722—31no—
140#3722—31no—
141#3722—31no—
142#3722—31no—
143(C2×D3)⋊Dic3—31no—
144Dic32—31no—
145C2×#611—31no—
146C2×#611—31no—
147C22×Dic9—31no—
148C2×D36—31no—
149C2×D36—61no—
150C2×C4×D9—31no—
151C2×C4×D9—31no—
152C2×C4×D9—31no—
153C2×C4×D9—31no—
154C2×C4×D9—61no—
155C2×C4×D9—61no—
156C2×Dic18—31no—
157C9×C4⋊C4—31no—
158C9×C4⋊C4—31no—
159C9×C4⋊C4—31no—
160C9×C22⋊C4—31no—
161C9×C22⋊C4—31no—
162C9×C22⋊C4—31no—
163C42×C9—21no—
164C42×C9C2×D311yescharacteristic
165#3676—31no—
166(C2×D9)⋊C4—31no—
167(C2×D9)⋊C4—31no—
168(C2×D9)⋊C4—31no—
169(C2×D9)⋊C4—31no—
170(C2×D9)⋊C4—31no—
171(C2×D9)⋊C4—31no—
172(C2×D9)⋊C4—61no—
173(C2×D9)⋊C4—61no—
174C4⋊Dic9—31no—
175C4⋊Dic9—31no—
176C4⋊Dic9—31no—
177C4⋊Dic9—61no—
178C4⋊Dic9C2×D311yescharacteristic
179C4⋊Dic9C2×D311yescharacteristic
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4C2×D311yescharacteristic
183Dic9⋊C4C2×D311yescharacteristic
184Dic9⋊C4C2×D311yescharacteristic
185Dic9⋊C4C2×D311yescharacteristic
186C4×Dic9—31no—
187C22×C3×C9C2411yescharacteristic
188C2×C3⋊D9—21no—
189C2×C3⋊D9—21no—
190C2×C3⋊D9—21no—
191C2×C3⋊D9—21no—
192C2×C3⋊D9—21no—
193C2×C3⋊D9#4112yes—
194C2×D3×C9—21no—
195C2×D3×C9—21no—
196C2×D3×C9—21no—
197C3×C4×C9—21no—
198C3×C4×C9—21no—
199C3×C4×C9—21no—
200C3⋊Dic9—21no—
201C3⋊Dic9—21no—
202C9×Dic3—21no—
203C9×Dic3—21no—
204C9×Dic3—21no—
205C3×Dic9—21no—
206C3×Dic9—21no—
207C3×Dic9—21no—
208C3×Dic9—21no—
209C3×#126—31no—
210C3×#125—91no—
211#898—91no—
212#898—91no—
213#897—91no—
214#897—91no—
215#896—91no—
216#896—91no—
217#896—91no—
218#895—91no—
219#894—91no—
220#894—91no—
221#894—91no—
222#894—91no—
223#894—91no—
224#893—91no—
225D3×C4⋊C4—91no—
226D3×C4⋊C4—91no—
227#890—91no—
228#889—91no—
229#886—91no—
230#884—91no—
231#883—91no—
232#883—91no—
233#67⋊C4—91no—
234#878—91no—
235#876D911yescharacteristic, complemented
236C4×D12—91no—
237C4×D12—91no—
238C4×D12—181no—
239#870—31no—
240C22×C3⋊D3—31no—
241C22×C3⋊D3—31no—
242C22×C3×D3C22×D311yescharacteristic
243C2×C32×C4C22×D311yescharacteristic
244C2×C32×C4C22×D311yescharacteristic
245C2×C32×C4C22×D311yescharacteristic
246C2×C3⋊Dic3—31no—
247C2×C3⋊Dic3—31no—
248C4⋊(C3⋊D3)—62no—
249C4×C3⋊D3—121no—
250C4×C3⋊D3—121no—
251C2×C3×Dic3—31no—
252C2×C3×Dic3—31no—
253C2×C3×Dic3—31no—
254C2×C3×Dic3—31no—
255C2×C3×Dic3C22×D311yescharacteristic
256C2×C3×Dic3C22×D311yescharacteristic
257C2×C3×Dic3C22×D311yescharacteristic
258#627—121no—
259#626—62no—
260#626—121no—
261#624—62no—
262#624—121no—
263D3×Dic3—121no—
264C23×C9—31no—
265C22×D9—31no—
266C22×D9—31no—
267C22×D9—61no—
268C22×D9—61no—
269C2×C4×C9—21no—
270C2×C4×C9—21no—
271C2×C4×C9—21no—
272C2×C4×C9—31no—
273C2×C4×C9—31no—
274C2×C4×C9—31no—
275C2×C4×C9C22×D311yescharacteristic
276C2×C4×C9C22×D311yescharacteristic
277C2×C4×C9C22×D311yescharacteristic
278#611—62no—
279#611—121no—
280C2×Dic9—31no—
281C2×Dic9—31no—
282C2×Dic9—61no—
283C2×Dic9—61no—
284C2×Dic9—121no—
285C2×Dic9C22×D311yescharacteristic
286C2×Dic9C22×D311yescharacteristic
287C2×Dic9C22×D311yescharacteristic
288C2×Dic9C22×D311yescharacteristic
289D36—62no—
290D36—64no—
291C4×D9—62no—
292C4×D9—121no—
293C4×D9—121no—
294C4×D9—121no—
295C4×D9—122no—
296C4×D9—122no—
297Dic18—121no—
298#539—271noSylow
299C2×C3×C9C2×#4111yescharacteristic
300C2×C3×C9H(5,𝔽2)11yescharacteristic
301C2×C3×C92−1+411yescharacteristic
302C3⋊D9—22no—
303C3⋊D9—41no—
304D3×C9—41no—
305C2×#67—91no—
306C2×#67—91no—
307C22×Dic3—91no—
308C2×D12—91no—
309C2×D12—91no—
310C2×D12—91no—
311C2×D12—91no—
312C2×D12—181no—
313C2×C4×D3—91no—
314C2×C4×D3—91no—
315C2×C4×D3—91no—
316C2×C4×D3—91no—
317C2×C4×D3—91no—
318C2×C4×D3—91no—
319C2×C4×D3—91no—
320C2×C4×D3—91no—
321C2×C4×D3—91no—
322C2×C4×D3—181no—
323C2×C4×D3—181no—
324C2×Dic6—91no—
325C2×Dic6—91no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—91no—
330C3×C4⋊C4—91no—
331C3×C4⋊C4—91no—
332C3×C4⋊C4—91no—
333C3×C4⋊C4—91no—
334C3×C4⋊C4—91no—
335C3×C22⋊C4—31no—
336C3×C22⋊C4—31no—
337C3×C22⋊C4—31no—
338C3×C42—21no—
339C3×C42C2×D911yescharacteristic
340C3×C42D3211yescharacteristic
341#217—91no—
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—91no—
353(C2×D3)⋊C4—91no—
354(C2×D3)⋊C4—91no—
355(C2×D3)⋊C4—181no—
356(C2×D3)⋊C4—181no—
357(C2×D3)⋊C4C2×D911yescharacteristic
358(C2×D3)⋊C4C2×D911yescharacteristic
359(C2×D3)⋊C4C2×D911yescharacteristic
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—91no—
363C4⋊Dic3—91no—
364C4⋊Dic3—91no—
365C4⋊Dic3—91no—
366C4⋊Dic3—91no—
367C4⋊Dic3—181no—
368Dic3⋊C4—31no—
369Dic3⋊C4—31no—
370Dic3⋊C4—31no—
371Dic3⋊C4—31no—
372Dic3⋊C4—91no—
373Dic3⋊C4—91no—
374Dic3⋊C4—91no—
375Dic3⋊C4—91no—
376Dic3⋊C4—91no—
377Dic3⋊C4C2×D911yescharacteristic
378Dic3⋊C4C2×D911yescharacteristic
379Dic3⋊C4C2×D911yescharacteristic
380C4×Dic3—91no—
381C4×Dic3—91no—
382C22×C32C23×D311yescharacteristic
383C2×C3⋊D3—32no—
384C2×C3⋊D3—61no—
385C2×C3⋊D3—61no—
386C2×C3⋊D3—61no—
387C2×C3⋊D3—61no—
388C2×C3⋊D3—61no—
389C2×C3×D3—21no—
390C2×C3×D3—21no—
391C2×C3×D3—21no—
392C32×C4—21no—
393C32×C4—21no—
394C32×C4—21no—
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—61no—
404C22×C9—21no—
405C22×C9—61no—
406C22×C9—61no—
407C22×C9—61no—
408C22×C9C23×D311yescharacteristic
409C2×D9—32no—
410C2×D9—62no—
411C2×D9—61no—
412C2×D9—61no—
413C2×D9—62no—
414C2×D9—61no—
415C2×D9—61no—
416C2×D9—61no—
417C2×D9—121no—
418C2×D9—121no—
419C2×D9—121no—
420C2×D9—121no—
421C4×C9—22no—
422C4×C9—22no—
423C4×C9—21no—
424C4×C9—21no—
425C4×C9—21no—
426C4×C9—41no—
427C4×C9—61no—
428C4×C9—61no—
429C4×C9—61no—
430Dic9—21no—
431Dic9—21no—
432Dic9—21no—
433Dic9—21no—
434Dic9—61no—
435Dic9—61no—
436Dic9—121no—
437Dic9—121no—
438#126—31no—
439#126—271no—
440#125—91no—
441#125—271no—
442#123—271no—
443#123—271no—
444#123—271no—
445#123—271no—
446C22⋊Q8—271no—
447C22⋊Q8—271no—
448C22⋊Q8—271no—
449#121—271no—
450C4×D4—271no—
451C4×D4—271no—
452C2×C4⋊C4—271no—
453C3×C9#53911yescharacteristic, complemented, Sylow
454C23×C3—31no—
455C22×D3—91no—
456C22×D3—91no—
457C22×D3—91no—
458C22×D3—91no—
459C22×D3—181no—
460C22×D3—181no—
461C22×D3C22×D911yescharacteristic
462C2×C3×C4—21no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—31no—
466C2×C3×C4—31no—
467C2×C3×C4—31no—
468C2×C3×C4—91no—
469C2×C3×C4—91no—
470C2×C3×C4—91no—
471C2×C3×C4—91no—
472C2×C3×C4C22×D911yescharacteristic
473C2×C3×C4C22×D911yescharacteristic
474C2×C3×C4C22×D911yescharacteristic
475C2×C3×C4C2×D3211yescharacteristic
476C2×C3×C4C2×D3211yescharacteristic
477C2×C3×C4C2×D3211yescharacteristic
478#67—182no—
479#67—361no—
480C2×Dic3—31no—
481C2×Dic3—31no—
482C2×Dic3—31no—
483C2×Dic3—31no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—91no—
487C2×Dic3—91no—
488C2×Dic3—181no—
489C2×Dic3—181no—
490C2×Dic3—361no—
491C2×Dic3C22×D911yescharacteristic
492C2×Dic3C22×D911yescharacteristic
493C2×Dic3C22×D911yescharacteristic
494D12—182no—
495D12—182no—
496D12—184no—
497D12—182no—
498D12—361no—
499C4×D3—182no—
500C4×D3—182no—
501C4×D3—361no—
502C4×D3—361no—
503C4×D3—361no—
504C4×D3—361no—
505C4×D3—361no—
506C4×D3—361no—
507C4×D3—361no—
508C4×D3—362no—
509C4×D3—362no—
510Dic6—361no—
511Dic6—361no—
512C2×C32D3×#4111yescharacteristic
513C2×C32#100911yescharacteristic
514C2×C32#101011yescharacteristic
515C3⋊D3—62no—
516C3⋊D3—121no—
517C3×D3—41no—
518C2×C9—21no—
519C2×C9—21no—
520C2×C9—21no—
521C2×C9—121no—
522C2×C9#100711yescharacteristic
523C2×C9D3×#4111yescharacteristic
524C2×C9#100911yescharacteristic
525D9—62no—
526D9—122no—
527D9—122no—
528D9—121no—
529C2×Q8—271no—
530C2×D4—271no—
531C2×D4—271no—
532C2×D4—271no—
533C22×C4—271no—
534C22×C4—271no—
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—91no—
544C4⋊C4—91no—
545C4⋊C4—91no—
546C4⋊C4—91no—
547C4⋊C4—271no—
548C4⋊C4—271no—
549C4⋊C4—271no—
550C4⋊C4—271no—
551C4⋊C4—271no—
552C22⋊C4—31no—
553C22⋊C4—31no—
554C22⋊C4—31no—
555C22⋊C4—271no—
556C22⋊C4—271no—
557C22⋊C4—271no—
558C22⋊C4—271no—
559C22⋊C4—271no—
560C22⋊C4—271no—
561C22⋊C4—271no—
562C42—271no—
563C42D3×D911yescharacteristic
564C22×C3—21no—
565C22×C3—61no—
566C22×C3—61no—
567C22×C3—61no—
568C22×C3C23×D911yescharacteristic
569C22×C3C22×D3211yescharacteristic
570C2×D3—21no—
571C2×D3—21no—
572C2×D3—21no—
573C2×D3—92no—
574C2×D3—92no—
575C2×D3—182no—
576C2×D3—181no—
577C2×D3—181no—
578C2×D3—181no—
579C2×D3—181no—
580C2×D3—182no—
581C2×D3—181no—
582C2×D3—181no—
583C2×D3—181no—
584C2×D3—181no—
585C2×D3—181no—
586C2×D3—181no—
587C2×D3—361no—
588C2×D3—361no—
589C2×D3—361no—
590C2×D3—361no—
591C3×C4—22no—
592C3×C4—22no—
593C3×C4—21no—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—21no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—41no—
600C3×C4—61no—
601C3×C4—61no—
602C3×C4—61no—
603C3×C4—181no—
604C3×C4—181no—
605C3×C4—181no—
606C3×C4—181no—
607Dic3—21no—
608Dic3—21no—
609Dic3—21no—
610Dic3—61no—
611Dic3—61no—
612Dic3—61no—
613Dic3—61no—
614Dic3—181no—
615Dic3—181no—
616Dic3—181no—
617Dic3—181no—
618Dic3—361no—
619Dic3—361no—
620C32#570711yescharacteristic
621C9—21no—
622C9#569211yescharacteristic, complemented
623C23—31no—
624C23—271no—
625C23—271no—
626Q8—1081no—
627D4—542no—
628D4—542no—
629D4—1081no—
630C2×C4—31no—
631C2×C4—31no—
632C2×C4—31no—
633C2×C4—91no—
634C2×C4—91no—
635C2×C4—91no—
636C2×C4—91no—
637C2×C4—271no—
638C2×C4—271no—
639C2×C4—542no—
640C2×C4—1081no—
641C2×C4—1081no—
642C2×C4—1081no—
643C2×C4—1081no—
644C2×C4C2×D3×D911yescharacteristic
645C2×C4C2×D3×D911yescharacteristic
646C2×C4C2×D3×D911yescharacteristic
647C2×C3—21no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—121no—
651C2×C3#41×D911yescharacteristic
652C2×C3#6371511yescharacteristic
653C2×C3#6371611yescharacteristic
654C2×C3#6429711yescharacteristic
655C2×C3#6430611yescharacteristic
656C2×C3#6430811yescharacteristic
657D3—41no—
658D3—182no—
659D3—182no—
660D3—362no—
661D3—362no—
662D3—361no—
663D3—361no—
664C22—61no—
665C22—61no—
666C22—61no—
667C22—272no—
668C22—541no—
669C22—541no—
670C22—541no—
671C22—541no—
672C22—541no—
673C22C22×D3×D911yescharacteristic
674C4—21no—
675C4—21no—
676C4—21no—
677C4—61no—
678C4—61no—
679C4—61no—
680C4—181no—
681C4—181no—
682C4—181no—
683C4—181no—
684C4—541no—
685C4—541no—
686C3—21no—
687C3#1058980911yescharacteristic, complemented
688C3#1059394611yescharacteristic
689C2—121no—
690C2—542no—
691C2—1081no—
692C2#1172246411yescharacteristic
693C2#1172247511yescharacteristic
694C2#1172247811yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C42×C9C22
socleC22×C32C23×D3
prime radical#11721039C2
hypercenterC42D3×D9
hypocenterC3×C9#539
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C42

Complements

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

NH ≅ G/Ntype
1. C4×C4⋊(C3⋊D9)C2semidirect
2. C9×#876C2semidirect
3. C3×#63432C2semidirect
5. #11721023C2semidirect
6. #11721020C2semidirect
7. #11721014C2semidirect
8. #11720997C2semidirect
9. #11720995C2semidirect
10. #11720980C2semidirect
11. #11720958C2semidirect
12. #11720957C2semidirect
13. #11720923C2semidirect
14. #11720921C2semidirect
15. #11720914C2semidirect
83. #63432D3semidirect
235. #876D9semidirect
453. C3×C9#539semidirect
622. C9#5692semidirect
687. C3#10589809semidirect

Maximal subgroups

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

subgroupindex
C4×C4⋊(C3⋊D9)2
C9×#8762
C3×#634322
#117210392
#117210232
#117210202
#117210142
#117209972
#117209952
#117209802
#117209582
#117209572
#117209232
#117209212
#117209142
#105939463
#105898093