Finite Group Databasebeta

← #13148385

Subgroups — #13148385

Order 1728.

774 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721725C211yesmaximal, characteristic, complemented
2C9×#884C211yesmaximal, characteristic, complemented
3C3×#611⋊C4C211yesmaximal, characteristic, complemented
4#67×Dic9C211yesmaximal, characteristic, complemented
5#11721270C211yesmaximal, characteristic, complemented
6#11721270C211yesmaximal, characteristic, complemented
7#11721265C211yesmaximal, characteristic, complemented
8#11721036C211yesmaximal, characteristic, complemented
9#11721028C211yesmaximal, characteristic, complemented
10#11721015C211yesmaximal, characteristic, complemented
11#11720976C211yesmaximal, characteristic, complemented
12D9×Dic3⋊C4C211yesmaximal, characteristic, complemented
13#11720963C211yesmaximal, characteristic, complemented
14#11720959C211yesmaximal, characteristic, complemented
15#11720914C211yesmaximal, characteristic, complemented
16#10594198—31nomaximal
17#10589716—31nomaximal
18C2×C9×#67C2211yescharacteristic
19C2×C9×#67C2211yescharacteristic
20C2×C3×#611C2211yescharacteristic
21C22×C3×Dic9C2211yescharacteristic
22C2×C9×D12C2211yescharacteristic
23C2×C4×D3×C9C2211yescharacteristic
24C2×C3×C4×D9C2211yescharacteristic
25C2×#6194C2211yescharacteristic
26C2×#6194C2211yescharacteristic
27C2×D3×Dic9C2211yescharacteristic
28C2×Dic3×D9C2211yescharacteristic
29C2×Dic3×D9C2211yescharacteristic
30C3×C9×C22⋊C4C2211yescharacteristic
31#88551C2211yescharacteristic
32#88551C2211yescharacteristic
33C4⋊(C3⋊Dic9)C2211yescharacteristic
34#88534C2211yescharacteristic
35#88534C2211yescharacteristic
36C4×C3⋊Dic9C2211yescharacteristic
37C9×(C2×D3)⋊C4C2211yescharacteristic
38C3×(C2×D9)⋊C4C2211yescharacteristic
39C9×Dic3⋊C4C2211yescharacteristic
40C3×Dic9⋊C4C2211yescharacteristic
41C3×C4×Dic9C2211yescharacteristic
42(C2×D3)⋊Dic9C2211yescharacteristic
43(C2×D3)⋊Dic9C2211yescharacteristic
44(C2×D3)⋊Dic9C2211yescharacteristic
45(C2×D3)⋊Dic9C2211yescharacteristic
46(C2×D3)⋊Dic9C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48Dic3⋊Dic9C2211yescharacteristic
49Dic3⋊Dic9C2211yescharacteristic
50#88442C2211yescharacteristic
51#88442C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64088—31no—
54C3×#884D311yescharacteristic
55C3×#67⋊C4—31no—
56Dic3×#67—31no—
57#63970—31no—
58#63970—31no—
59#63961—31no—
60#63908—31no—
61#63902—31no—
62#63884—31no—
63#63879—31no—
64D3×Dic3⋊C4—31no—
65#63859—31no—
66#63855—31no—
67#63845—31no—
68C9×#121—31no—
69#63500—31no—
70#63500—31no—
71#63500—31no—
72#63497—31no—
73#63497—31no—
74D4×Dic9—31no—
75C4×#611—31no—
76#63488—31no—
77C4⋊C4×D9—31no—
78#63452—31no—
79#611⋊C4—31no—
80#611⋊C4D311yescharacteristic, complemented
81#63441—31no—
82#63441—31no—
83#63441—61no—
84C23×C3×C9C2311yescharacteristic
85C22×D3×C9C2311yescharacteristic
86C22×D3×C9C2311yescharacteristic
87C22×C3×D9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3⋊Dic9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C9×#67—22no—
95C9×#67—41no—
96C3×#611—22no—
97C2×C9×Dic3C2311yescharacteristic
98C2×C9×Dic3C2311yescharacteristic
99C2×C3×Dic9—41no—
100C2×C3×Dic9C2311yescharacteristic
101C2×C3×Dic9C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103C9×D12—41no—
104C4×D3×C9—22no—
105C3×C4×D9—41no—
106#6194—22no—
107#6194—22no—
108D3×Dic9—41no—
109Dic3×D9—22no—
110Dic3×D9—41no—
111#5614—91no—
112#5540—91no—
113C2×C3×#67—31no—
114C2×C3×#67C2×D311yescharacteristic
115C2×C3×#67C2×D311yescharacteristic
116C22×C3×Dic3—31no—
117C2×C3×D12C2×D311yescharacteristic
118C2×C3×C4×D3—31no—
119C2×C3×C4×D3C2×D311yescharacteristic
120C2×#625—31no—
121C2×#625—31no—
122C2×D3×Dic3—31no—
123C2×D3×Dic3—31no—
124C2×D3×Dic3—31no—
125C32×C22⋊C4C2×D311yescharacteristic
126#3757—31no—
127#3757—31no—
128C4⋊(C3⋊Dic3)—31no—
129#3750—31no—
130#3750—31no—
131C4×C3⋊Dic3—31no—
132C3×(C2×D3)⋊C4—31no—
133C3×(C2×D3)⋊C4C2×D311yescharacteristic
134C3×Dic3⋊C4—31no—
135C3×Dic3⋊C4C2×D311yescharacteristic
136C3×C4×Dic3—31no—
137#3724—31no—
138#3724—31no—
139Dic3⋊Dic3—31no—
140Dic3⋊Dic3—31no—
141Dic3⋊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—
147Dic32—31no—
148C2×D4×C9—31no—
149C2×D4×C9—31no—
150C2×D4×C9—31no—
151C22×C4×C9—31no—
152C2×#611—31no—
153C2×#611—31no—
154C2×#611C2×D311yescharacteristic
155C22×Dic9—31no—
156C22×Dic9C2×D311yescharacteristic
157C2×C4×D9—31no—
158C2×C4×D9—31no—
159C2×C4×D9C2×D311yescharacteristic
160C9×C4⋊C4—31no—
161C9×C22⋊C4—21no—
162C9×C22⋊C4—31no—
163C9×C22⋊C4C2×D311yescharacteristic
164#3676—31no—
165#3676—31no—
166#3676—31no—
167#3676—31no—
168#3676—31no—
169#3676—31no—
170#3676—31no—
171#3676—61no—
172#3676—61no—
173(C2×D9)⋊C4C2×D311yescharacteristic
174C4⋊Dic9—31no—
175C4⋊Dic9—31no—
176C4⋊Dic9—31no—
177C4⋊Dic9—31no—
178C4⋊Dic9—61no—
179Dic9⋊C4—31no—
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4—31no—
183Dic9⋊C4—61no—
184Dic9⋊C4—61no—
185Dic9⋊C4C2×D311yescharacteristic
186C4×Dic9—31no—
187C4×Dic9—31no—
188C4×Dic9—61no—
189C4×Dic9C2×D311yescharacteristic
190C22×C3×C9—21no—
191C22×C3×C9—21no—
192C22×C3×C9—21no—
193C22×C3×C9C2411yescharacteristic
194C2×D3×C9—21no—
195C2×D3×C9—21no—
196C2×D3×C9—21no—
197C2×D3×C9—21no—
198C2×D3×C9—21no—
199C2×D3×C9—21no—
200C2×C3×D9—21no—
201C2×C3×D9—21no—
202C2×C3×D9#4112yes—
203C3×C4×C9—21no—
204C3×C4×C9—21no—
205C3⋊Dic9—21no—
206C3⋊Dic9—21no—
207C3⋊Dic9—21no—
208C3⋊Dic9—21no—
209C9×Dic3—21no—
210C9×Dic3#4112yes—
211C3×Dic9—21no—
212C3×Dic9—21no—
213C3×Dic9—21no—
214C3×#121—31no—
215C3×C4×D4—91no—
216#939—91no—
217#939—91no—
218#938—91no—
219#938—91no—
220#938—91no—
221#935—91no—
222#935—91no—
223D4×Dic3—91no—
224#930—91no—
225#929—91no—
226C4×#67—91no—
227C4×#67—91no—
228#926—91no—
229C2×Dic3⋊C4—91no—
230#894—91no—
231D3×C4⋊C4—91no—
232#890—91no—
233#889—91no—
234#884D911yescharacteristic, complemented
235#67⋊C4—31no—
236#67⋊C4—91no—
237#67⋊C4—91no—
238#67⋊C4—91no—
239#879—91no—
240#879—91no—
241#879—91no—
242#879—181no—
243#876—91no—
244#872—91no—
245C23×C32C22×D311yescharacteristic
246C22×C3×D3—31no—
247C22×C3×D3C22×D311yescharacteristic
248C22×C3×D3C22×D311yescharacteristic
249C2×C32×C4C22×D311yescharacteristic
250C2×C32×C4C22×D311yescharacteristic
251C2×C3⋊Dic3—31no—
252C2×C3⋊Dic3—31no—
253C2×C3⋊Dic3—31no—
254C2×C3⋊Dic3—31no—
255C3×#67—22no—
256C3×#67—41no—
257C3×#67—62no—
258C2×C3×Dic3—31no—
259C2×C3×Dic3—31no—
260C2×C3×Dic3—31no—
261C2×C3×Dic3—121no—
262C2×C3×Dic3C22×D311yescharacteristic
263C2×C3×Dic3C22×D311yescharacteristic
264C3×D12—41no—
265C3×C4×D3—22no—
266C3×C4×D3—121no—
267#625—62no—
268#625—62no—
269D3×Dic3—62no—
270D3×Dic3—121no—
271D3×Dic3—121no—
272C23×C9—21no—
273C23×C9—31no—
274C23×C9—31no—
275C23×C9C22×D311yescharacteristic
276C22×D9C22×D311yescharacteristic
277D4×C9—62no—
278D4×C9—121no—
279D4×C9—121no—
280C2×C4×C9—21no—
281C2×C4×C9—21no—
282C2×C4×C9—31no—
283C2×C4×C9—31no—
284C2×C4×C9—62no—
285C2×C4×C9C22×D311yescharacteristic
286C2×C4×C9C22×D311yescharacteristic
287#611—22no—
288#611—62no—
289#611—62no—
290C2×Dic9—31no—
291C2×Dic9—31no—
292C2×Dic9—31no—
293C2×Dic9—31no—
294C2×Dic9—41no—
295C2×Dic9—61no—
296C2×Dic9—61no—
297C2×Dic9—61no—
298C2×Dic9—61no—
299C2×Dic9—121no—
300C2×Dic9C22×D311yescharacteristic
301C2×Dic9C22×D311yescharacteristic
302C2×Dic9C22×D311yescharacteristic
303C4×D9—41no—
304C4×D9—62no—
305C4×D9—121no—
306#553—271noSylow
307C2×C3×C9—41no—
308C2×C3×C9C2×#4111yescharacteristic
309C2×C3×C9C2×#4111yescharacteristic
310C2×C3×C9H(5,𝔽2)11yescharacteristic
311D3×C9—41no—
312D3×C9—41no—
313C3×D9—22no—
314C2×C3×D4—31no—
315C2×C3×D4—31no—
316C2×C3×D4—31no—
317C2×C3×D4—91no—
318C22×C3×C4—31no—
319C22×C3×C4—91no—
320C22×C3×C4—91no—
321C2×#67—31no—
322C2×#67—91no—
323C2×#67—91no—
324C2×#67—91no—
325C2×#67—91no—
326C2×#67C2×D911yescharacteristic
327C2×#67C2×D911yescharacteristic
328C22×Dic3—31no—
329C22×Dic3—91no—
330C22×Dic3—91no—
331C22×Dic3—91no—
332C2×D12C2×D911yescharacteristic
333C2×C4×D3—31no—
334C2×C4×D3—91no—
335C2×C4×D3—91no—
336C2×C4×D3—91no—
337C2×C4×D3C2×D911yescharacteristic
338C3×C4⋊C4—31no—
339C3×C4⋊C4—91no—
340C3×C22⋊C4—21no—
341C3×C22⋊C4—31no—
342C3×C22⋊C4—91no—
343C3×C22⋊C4C2×D911yescharacteristic
344C3×C22⋊C4D3211yescharacteristic
345C3×C42—91no—
346#217—91no—
347#217—91no—
348#217—91no—
349#217—91no—
350#217—91no—
351#217—91no—
352#217—91no—
353#217—91no—
354#217—91no—
355#217—181no—
356#217—181no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—91no—
359(C2×D3)⋊C4—91no—
360(C2×D3)⋊C4—91no—
361(C2×D3)⋊C4—91no—
362(C2×D3)⋊C4—91no—
363(C2×D3)⋊C4C2×D911yescharacteristic
364C4⋊Dic3—91no—
365C4⋊Dic3—91no—
366C4⋊Dic3—91no—
367C4⋊Dic3—91no—
368C4⋊Dic3—91no—
369C4⋊Dic3—181no—
370Dic3⋊C4—31no—
371Dic3⋊C4—91no—
372Dic3⋊C4—91no—
373Dic3⋊C4—91no—
374Dic3⋊C4—91no—
375Dic3⋊C4—91no—
376Dic3⋊C4—91no—
377Dic3⋊C4—91no—
378Dic3⋊C4—91no—
379Dic3⋊C4—91no—
380Dic3⋊C4—91no—
381Dic3⋊C4—91no—
382Dic3⋊C4—181no—
383Dic3⋊C4—181no—
384Dic3⋊C4C2×D911yescharacteristic
385C4×Dic3—31no—
386C4×Dic3—91no—
387C4×Dic3—91no—
388C4×Dic3—91no—
389C4×Dic3—91no—
390C4×Dic3—181no—
391C22×C32—21no—
392C22×C32—21no—
393C22×C32—21no—
394C22×C32C23×D311yescharacteristic
395C2×C3×D3—21no—
396C2×C3×D3—21no—
397C2×C3×D3—21no—
398C2×C3×D3—21no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—32no—
402C2×C3×D3—61no—
403C2×C3×D3—61no—
404C32×C4—21no—
405C32×C4—21no—
406C3⋊Dic3—61no—
407C3⋊Dic3—61no—
408C3⋊Dic3—61no—
409C3⋊Dic3—61no—
410C3×Dic3—21no—
411C3×Dic3—61no—
412C3×Dic3—61no—
413C3×Dic3—61no—
414C3×Dic3#23712yes—
415C22×C9—21no—
416C22×C9—21no—
417C22×C9—21no—
418C22×C9—21no—
419C22×C9—41no—
420C22×C9—41no—
421C22×C9—41no—
422C22×C9—61no—
423C22×C9—61no—
424C22×C9—61no—
425C22×C9—61no—
426C22×C9—61no—
427C22×C9—61no—
428C22×C9C23×D311yescharacteristic
429C2×D9—21no—
430C2×D9—21no—
431C2×D9#23512yes—
432C4×C9—21no—
433C4×C9—21no—
434C4×C9—32no—
435C4×C9—41no—
436C4×C9—41no—
437C4×C9—61no—
438Dic9—21no—
439Dic9—21no—
440Dic9—21no—
441Dic9—61no—
442Dic9—61no—
443Dic9—61no—
444Dic9—61no—
445Dic9—121no—
446Dic9—121no—
447Dic9—121no—
448Dic9—121no—
449#126—271no—
450#126—271no—
451#125—271no—
452#123—271no—
453#123—271no—
454#121—31no—
455#121—271no—
456#121—271no—
457#121—271no—
458C4×D4—91no—
459C4×D4—271no—
460C4×D4—271no—
461C4×D4—271no—
462#117—271no—
463C2×C4⋊C4—271no—
464C3×C9#55311yescharacteristic, complemented, Sylow
465C23×C3—21no—
466C23×C3—31no—
467C23×C3—31no—
468C23×C3—91no—
469C23×C3C22×D911yescharacteristic
470C23×C3C2×D3211yescharacteristic
471C22×D3—31no—
472C22×D3C22×D911yescharacteristic
473C22×D3C22×D911yescharacteristic
474C3×D4—62no—
475C3×D4—121no—
476C3×D4—121no—
477C3×D4—182no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—31no—
481C2×C3×C4—31no—
482C2×C3×C4—62no—
483C2×C3×C4—91no—
484C2×C3×C4—91no—
485C2×C3×C4—91no—
486C2×C3×C4—361no—
487C2×C3×C4—361no—
488C2×C3×C4C22×D911yescharacteristic
489C2×C3×C4C22×D911yescharacteristic
490C2×C3×C4C2×D3211yescharacteristic
491C2×C3×C4C2×D3211yescharacteristic
492#67—22no—
493#67—41no—
494#67—62no—
495#67—182no—
496#67—182no—
497#67—182no—
498#67—182no—
499C2×Dic3—31no—
500C2×Dic3—31no—
501C2×Dic3—31no—
502C2×Dic3—91no—
503C2×Dic3—91no—
504C2×Dic3—91no—
505C2×Dic3—91no—
506C2×Dic3—91no—
507C2×Dic3—91no—
508C2×Dic3—91no—
509C2×Dic3—91no—
510C2×Dic3—121no—
511C2×Dic3—181no—
512C2×Dic3—181no—
513C2×Dic3—181no—
514C2×Dic3—181no—
515C2×Dic3—182no—
516C2×Dic3—361no—
517C2×Dic3—361no—
518C2×Dic3C22×D911yescharacteristic
519C2×Dic3C22×D911yescharacteristic
520D12—41no—
521C4×D3—22no—
522C4×D3—121no—
523C4×D3—182no—
524C4×D3—361no—
525C4×D3—361no—
526C2×C32—41no—
527C2×C32C2×#23711yescharacteristic
528C2×C32#100411yescharacteristic
529C2×C32D3×#4111yescharacteristic
530C3×D3—41no—
531C3×D3—41no—
532C3×D3—62no—
533C2×C9—21no—
534C2×C9—21no—
535C2×C9—21no—
536C2×C9—41no—
537C2×C9—81no—
538C2×C9—121no—
539C2×C9—121no—
540C2×C9C2×#23511yescharacteristic
541C2×C9#100411yescharacteristic
542C2×C9D3×#4111yescharacteristic
543D9—22no—
544C2×D4—31no—
545C2×D4—31no—
546C2×D4—31no—
547C2×D4—91no—
548C2×D4—271no—
549C2×D4—271no—
550C22×C4—31no—
551C22×C4—91no—
552C22×C4—91no—
553C22×C4—271no—
554C22×C4—271no—
555C22×C4—271no—
556C4⋊C4—31no—
557C4⋊C4—91no—
558C4⋊C4—271no—
559C4⋊C4—271no—
560C4⋊C4—271no—
561C4⋊C4—271no—
562C4⋊C4—271no—
563C4⋊C4—271no—
564C4⋊C4—271no—
565C4⋊C4—271no—
566C22⋊C4—31no—
567C22⋊C4—91no—
568C22⋊C4—271no—
569C22⋊C4—271no—
570C22⋊C4—271no—
571C22⋊C4—271no—
572C22⋊C4—271no—
573C22⋊C4—271no—
574C22⋊C4—271no—
575C22⋊C4D3×D911yescharacteristic
576C42—91no—
577C42—271no—
578C42—271no—
579C22×C3—21no—
580C22×C3—21no—
581C22×C3—21no—
582C22×C3—21no—
583C22×C3—21no—
584C22×C3—21no—
585C22×C3—21no—
586C22×C3—41no—
587C22×C3—41no—
588C22×C3—41no—
589C22×C3—61no—
590C22×C3—61no—
591C22×C3—61no—
592C22×C3—61no—
593C22×C3—61no—
594C22×C3—61no—
595C22×C3—92no—
596C22×C3—181no—
597C22×C3—181no—
598C22×C3C23×D911yescharacteristic
599C22×C3C22×D3211yescharacteristic
600C2×D3—21no—
601C2×D3—21no—
602C2×D3—21no—
603C2×D3—21no—
604C2×D3—21no—
605C2×D3—21no—
606C2×D3—32no—
607C2×D3—61no—
608C2×D3—61no—
609C3×C4—21no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—32no—
614C3×C4—41no—
615C3×C4—41no—
616C3×C4—61no—
617C3×C4—181no—
618C3×C4—181no—
619C3×C4—181no—
620Dic3—21no—
621Dic3—61no—
622Dic3—61no—
623Dic3—61no—
624Dic3—181no—
625Dic3—181no—
626Dic3—181no—
627Dic3—181no—
628Dic3—181no—
629Dic3—181no—
630Dic3—181no—
631Dic3—181no—
632Dic3—361no—
633Dic3—361no—
634Dic3—361no—
635Dic3—361no—
636Dic3#369912yes—
637C32#561411yescharacteristic
638C9—21no—
639C9#554011yescharacteristic, complemented
640C23—31no—
641C23—31no—
642C23—91no—
643C23C2×D3×D911yescharacteristic
644D4—62no—
645D4—121no—
646D4—121no—
647D4—182no—
648D4—542no—
649D4—542no—
650C2×C4—31no—
651C2×C4—31no—
652C2×C4—62no—
653C2×C4—91no—
654C2×C4—91no—
655C2×C4—91no—
656C2×C4—271no—
657C2×C4—271no—
658C2×C4—271no—
659C2×C4—271no—
660C2×C4—361no—
661C2×C4—361no—
662C2×C4—542no—
663C2×C4—1081no—
664C2×C4—1081no—
665C2×C4C2×D3×D911yescharacteristic
666C2×C4C2×D3×D911yescharacteristic
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—41no—
671C2×C3—41no—
672C2×C3—81no—
673C2×C3—121no—
674C2×C3—121no—
675C2×C3—182no—
676C2×C3C2×#369911yescharacteristic
677C2×C3#6371011yescharacteristic
678C2×C3#41×D911yescharacteristic
679C2×C3D3×#23511yescharacteristic
680C2×C3D3×#23711yescharacteristic
681C2×C3#6431311yescharacteristic
682D3—41no—
683D3—41no—
684D3—62no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—61no—
689C22—61no—
690C22—61no—
691C22—61no—
692C22—61no—
693C22—61no—
694C22—92no—
695C22—181no—
696C22—181no—
697C22C22×D3×D911yescharacteristic
698C4—21no—
699C4—21no—
700C4—32no—
701C4—61no—
702C4—181no—
703C4—181no—
704C4—181no—
705C4—541no—
706C4—541no—
707C4—541no—
708C4—541no—
709C3—21no—
710C3#1058971611yescharacteristic, complemented
711C3#1059419811yescharacteristic
712C2—41no—
713C2—121no—
714C2—121no—
715C2—182no—
716C2D9×#23511yescharacteristic
717C2D3×#369911yescharacteristic
718C2#1172249911yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
socleC22×C32C23×D3
hypercenterC22⋊C4D3×D9
hypocenterC3×C9#553
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. #11721725C2semidirect
2. C9×#884C2semidirect
3. C3×#611⋊C4C2semidirect
4. #67×Dic9C2semidirect
5. #11721270C2semidirect
6. #11721270C2semidirect
7. #11721265C2semidirect
8. #11721036C2semidirect
9. #11721028C2semidirect
10. #11721015C2semidirect
11. #11720976C2semidirect
12. D9×Dic3⋊C4C2semidirect
13. #11720963C2semidirect
14. #11720959C2semidirect
15. #11720914C2semidirect
80. #611⋊C4D3semidirect
234. #884D9semidirect
464. C3×C9#553semidirect
639. C9#5540semidirect
710. C3#10589716semidirect

Maximal subgroups

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

subgroupindex
#117217252
C9×#8842
C3×#611⋊C42
#67×Dic92
#117212702
#117212652
#117210362
#117210282
#117210152
#117209762
D9×Dic3⋊C42
#117209632
#117209592
#117209142
#105941983
#105897163