Finite Group Databasebeta

← #13150274

Subgroups — #13150274

Order 1728.

776 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#88534C211yesmaximal, characteristic, complemented
2C3×C4×#611C211yesmaximal, characteristic
3C9×#924C211yesmaximal, characteristic, complemented
4#611⋊Dic3C211yesmaximal, characteristic
5#611⋊Dic3C211yesmaximal, characteristic
6#11721267C211yesmaximal, characteristic, complemented
7#11721267C211yesmaximal, characteristic, complemented
8#11720999C211yesmaximal, characteristic, complemented
9#11720984C211yesmaximal, characteristic, complemented
10D9×Dic3⋊C4C211yesmaximal, characteristic, complemented
11#11720939C211yesmaximal, characteristic, complemented
12#11720933C211yesmaximal, characteristic, complemented
13#11720917C211yesmaximal, characteristic, complemented
14#11720903C211yesmaximal, characteristic, complemented
15#11720901C211yesmaximal, characteristic, complemented
16#10594959—31nomaximal
17#10589738—31nomaximal
18C22×C3×C4×C9C2211yescharacteristic
19C22×C3⋊Dic9C2211yescharacteristic
20C22×C3⋊Dic9C2211yescharacteristic
21C2×C3×#611C2211yescharacteristic
22C2×C3×C4×D9C2211yescharacteristic
23C2×C9×Dic6C2211yescharacteristic
24C2×Dic3×D9C2211yescharacteristic
25C2×Dic3×D9C2211yescharacteristic
26C2×#6189C2211yescharacteristic
27C2×#6189C2211yescharacteristic
28#88534C2211yescharacteristic
29#88534C2211yescharacteristic
30#88534C2211yescharacteristic
31#88534C2211yescharacteristic
32C9×#217C2211yescharacteristic
33C9×#217C2211yescharacteristic
34C3×#3676C2211yescharacteristic
35C3×(C2×D9)⋊C4C2211yescharacteristic
36C9×C4⋊Dic3C2211yescharacteristic
37C9×Dic3⋊C4C2211yescharacteristic
38C9×Dic3⋊C4C2211yescharacteristic
39C3×Dic9⋊C4C2211yescharacteristic
40C3×C4×Dic9C2211yescharacteristic
41(C2×D9)⋊Dic3C2211yescharacteristic
42(C2×D9)⋊Dic3C2211yescharacteristic
43Dic3⋊Dic9C2211yescharacteristic
44Dic3⋊Dic9C2211yescharacteristic
45#88442C2211yescharacteristic
46#88442C2211yescharacteristic
47Dic9⋊Dic3C2211yescharacteristic
48Dic9⋊Dic3C2211yescharacteristic
49Dic9⋊Dic3C2211yescharacteristic
50Dic9⋊Dic3C2211yescharacteristic
51Dic3×Dic9C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53C2×#3750—31no—
54C3×C4×#67—31no—
55C3×#924D311yescharacteristic
56#63982—31no—
57#63982—31no—
58#67⋊Dic3—31no—
59#67⋊Dic3—31no—
60#63899—31no—
61#63887—31no—
62D3×Dic3⋊C4—31no—
63#63867—31no—
64#63851—31no—
65#63846—31no—
66#63839—31no—
67#63837—31no—
68C9×C22⋊Q8—31no—
69#63508—31no—
70#63506—31no—
71C4×#611D311yescharacteristic
72C2×Dic9⋊C4—31no—
73C2×Dic9⋊C4—61no—
74#63458—31no—
75#63458—31no—
76C4⋊C4×D9—31no—
77#63451—31no—
78#63451—31no—
79#63449—31no—
80#611⋊C4—31no—
81#611⋊C4—31no—
82#63440—31no—
83#63440—31no—
84C23×C3×C9C2311yescharacteristic
85C22×C3×D9C2311yescharacteristic
86C2×C3×C4×C9—41no—
87C2×C3×C4×C9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3⋊Dic9—22no—
90C2×C3⋊Dic9—41no—
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C2×C3⋊Dic9C2311yescharacteristic
95C3×#611Q814yescomplemented
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C9×Dic3C2311yescharacteristic
99C2×C9×Dic3C2311yescharacteristic
100C2×C3×Dic9C2311yescharacteristic
101C2×C3×Dic9C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103C3×C4×D9—41no—
104C9×Dic6—41no—
105Dic3×D9—22no—
106Dic3×D9—41no—
107#6189—22no—
108#6189—41no—
109#5636—91no—
110#5539—91no—
111C22×C32×C4C2×D311yescharacteristic
112C22×C3⋊Dic3—31no—
113C22×C3⋊Dic3—31no—
114C2×C3×#67—31no—
115C2×C3×C4×D3—31no—
116C2×C3×Dic6C2×D311yescharacteristic
117C2×#627—31no—
118C2×#627—31no—
119C2×D3×Dic3—31no—
120C2×D3×Dic3—31no—
121#3750—31no—
122#3750—31no—
123#3750—31no—
124#3750—31no—
125C3×#217—31no—
126C3×#217C2×D311yescharacteristic
127C3×#217C2×D311yescharacteristic
128C3×(C2×D3)⋊C4—31no—
129C3×C4⋊Dic3C2×D311yescharacteristic
130C3×Dic3⋊C4—31no—
131C3×Dic3⋊C4C2×D311yescharacteristic
132C3×Dic3⋊C4C2×D311yescharacteristic
133C3×C4×Dic3—31no—
134#3724—31no—
135#3724—31no—
136Dic3⋊Dic3—31no—
137Dic3⋊Dic3—31no—
138Dic3⋊Dic3—31no—
139Dic3⋊Dic3—31no—
140Dic3⋊Dic3—31no—
141Dic3⋊Dic3—31no—
142(C2×D3)⋊Dic3—31no—
143(C2×D3)⋊Dic3—31no—
144Dic32—31no—
145Dic32—31no—
146C2×Q8×C9—31no—
147C22×C4×C9—21no—
148C22×C4×C9C2×D311yescharacteristic
149C2×#611C2×D311yescharacteristic
150C22×Dic9—31no—
151C22×Dic9—31no—
152C22×Dic9—61no—
153C22×Dic9—61no—
154C2×C4×D9—31no—
155C2×C4×D9—31no—
156C2×C4×D9C2×D311yescharacteristic
157C2×Dic18—31no—
158C2×Dic18—31no—
159C9×C4⋊C4—31no—
160C9×C4⋊C4—31no—
161C9×C4⋊C4—31no—
162C9×C22⋊C4—31no—
163C9×C22⋊C4—31no—
164#3676C2×D311yescharacteristic
165(C2×D9)⋊C4—31no—
166(C2×D9)⋊C4—31no—
167(C2×D9)⋊C4C2×D311yescharacteristic
168C4⋊Dic9—31no—
169C4⋊Dic9—31no—
170Dic9⋊C4—31no—
171Dic9⋊C4—31no—
172Dic9⋊C4—31no—
173Dic9⋊C4—31no—
174Dic9⋊C4—31no—
175Dic9⋊C4—31no—
176Dic9⋊C4—31no—
177Dic9⋊C4—31no—
178Dic9⋊C4—31no—
179Dic9⋊C4—31no—
180Dic9⋊C4—61no—
181Dic9⋊C4—61no—
182Dic9⋊C4—61no—
183Dic9⋊C4—61no—
184Dic9⋊C4C2×D311yescharacteristic
185C4×Dic9—31no—
186C4×Dic9—31no—
187C4×Dic9C2×D311yescharacteristic
188C22×C3×C9—21no—
189C22×C3×C9—21no—
190C22×C3×C9C2×Q812yes—
191C22×C3×C9C2411yescharacteristic
192C2×C3×D9—21no—
193C2×C3×D9—21no—
194C2×C3×D9C2×Q812yes—
195C3×C4×C9—21no—
196C3×C4×C9—21no—
197C3⋊Dic9—21no—
198C3⋊Dic9—21no—
199C3⋊Dic9—21no—
200C3⋊Dic9#4112yes—
201C9×Dic3—21no—
202C9×Dic3—21no—
203C9×Dic3—21no—
204C9×Dic3—21no—
205C3×Dic9—21no—
206C3×Dic9—21no—
207C3×Dic9C2×Q812yes—
208C3×C22⋊Q8—31no—
209C3×C4×D4—91no—
210#946—91no—
211#944—91no—
212D4×Dic3—91no—
213D4×Dic3—91no—
214C4×#67—31no—
215#924—91no—
216#924D911yescharacteristic, complemented
217C2×Dic3⋊C4—91no—
218C2×Dic3⋊C4—91no—
219C2×Dic3⋊C4—91no—
220C2×Dic3⋊C4—181no—
221#896—91no—
222#896—91no—
223D3×C4⋊C4—91no—
224#890—91no—
225#889—91no—
226#889—91no—
227#888—91no—
228#887—91no—
229#67⋊C4—91no—
230#67⋊C4—91no—
231#878—91no—
232#878—91no—
233#878—91no—
234#878—91no—
235#878—91no—
236#878—91no—
237#870—91no—
238C4×Dic6—91no—
239C23×C32C22×D311yescharacteristic
240C22×C3×D3—31no—
241C2×C32×C4—41no—
242C2×C32×C4C22×D311yescharacteristic
243C2×C32×C4C22×D311yescharacteristic
244C2×C3⋊Dic3—31no—
245C2×C3⋊Dic3—31no—
246C2×C3⋊Dic3—31no—
247C2×C3⋊Dic3—31no—
248C2×C3⋊Dic3—62no—
249C2×C3⋊Dic3—121no—
250C3×#67—34no—
251C2×C3×Dic3—31no—
252C2×C3×Dic3—31no—
253C2×C3×Dic3—31no—
254C2×C3×Dic3C22×D311yescharacteristic
255C2×C3×Dic3C22×D311yescharacteristic
256C2×C3×Dic3C22×D311yescharacteristic
257C2×C3×Dic3C22×D311yescharacteristic
258C3×C4×D3—121no—
259C3×Dic6—41no—
260#627—62no—
261#627—121no—
262D3×Dic3—62no—
263D3×Dic3—121no—
264C23×C9—21no—
265C23×C9C22×D311yescharacteristic
266C22×D9C22×D311yescharacteristic
267Q8×C9—121no—
268C2×C4×C9—21no—
269C2×C4×C9—21no—
270C2×C4×C9—31no—
271C2×C4×C9—31no—
272C2×C4×C9—31no—
273C2×C4×C9—31no—
274C2×C4×C9—41no—
275C2×C4×C9—42no—
276C2×C4×C9C22×D311yescharacteristic
277C2×C4×C9C22×D311yescharacteristic
278#611Dic614yescomplemented
279C2×Dic9—31no—
280C2×Dic9—31no—
281C2×Dic9—31no—
282C2×Dic9—31no—
283C2×Dic9—61no—
284C2×Dic9—61no—
285C2×Dic9—61no—
286C2×Dic9—61no—
287C2×Dic9—62no—
288C2×Dic9—64no—
289C2×Dic9—121no—
290C2×Dic9—122no—
291C2×Dic9C22×D311yescharacteristic
292C2×Dic9C22×D311yescharacteristic
293C2×Dic9C22×D311yescharacteristic
294C4×D9—41no—
295C4×D9—62no—
296C4×D9—121no—
297Dic18—62no—
298Dic18—121no—
299#554—271noSylow
300C2×C3×C9—22no—
301C2×C3×C9C22×Q811yescharacteristic
302C2×C3×C9C2×#4111yescharacteristic
303C2×C3×C9H(5,𝔽2)11yescharacteristic
304C3×D9—22no—
305C2×C3×Q8—31no—
306C2×C3×D4—91no—
307C22×C3×C4—21no—
308C22×C3×C4—91no—
309C22×C3×C4C2×D911yescharacteristic
310C22×C3×C4D3211yescharacteristic
311C2×#67—31no—
312C22×Dic3—91no—
313C22×Dic3—91no—
314C22×Dic3—91no—
315C22×Dic3—91no—
316C22×Dic3—91no—
317C22×Dic3—91no—
318C22×Dic3—181no—
319C22×Dic3—181no—
320C2×C4×D3—31no—
321C2×C4×D3—91no—
322C2×C4×D3—91no—
323C2×Dic6—91no—
324C2×Dic6—91no—
325C2×Dic6—91no—
326C2×Dic6—91no—
327C2×Dic6C2×D911yescharacteristic
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—91no—
332C3×C22⋊C4—31no—
333C3×C22⋊C4—31no—
334C3×C22⋊C4—91no—
335C3×C22⋊C4—91no—
336C3×C42—91no—
337#217—31no—
338#217—91no—
339#217—91no—
340#217C2×D911yescharacteristic
341#217C2×D911yescharacteristic
342(C2×D3)⋊C4—31no—
343(C2×D3)⋊C4—91no—
344(C2×D3)⋊C4—91no—
345C4⋊Dic3—91no—
346C4⋊Dic3—91no—
347C4⋊Dic3—91no—
348C4⋊Dic3—91no—
349C4⋊Dic3—91no—
350C4⋊Dic3—91no—
351C4⋊Dic3C2×D911yescharacteristic
352Dic3⋊C4—31no—
353Dic3⋊C4—91no—
354Dic3⋊C4—91no—
355Dic3⋊C4—91no—
356Dic3⋊C4—91no—
357Dic3⋊C4—91no—
358Dic3⋊C4—91no—
359Dic3⋊C4—91no—
360Dic3⋊C4—91no—
361Dic3⋊C4—91no—
362Dic3⋊C4—91no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—91no—
366Dic3⋊C4—91no—
367Dic3⋊C4—91no—
368Dic3⋊C4—91no—
369Dic3⋊C4—91no—
370Dic3⋊C4—91no—
371Dic3⋊C4—181no—
372Dic3⋊C4—181no—
373Dic3⋊C4—181no—
374Dic3⋊C4—181no—
375Dic3⋊C4C2×D911yescharacteristic
376Dic3⋊C4C2×D911yescharacteristic
377C4×Dic3—31no—
378C4×Dic3—91no—
379C4×Dic3—91no—
380C4×Dic3—91no—
381C4×Dic3—91no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32D3×Q812yes—
385C22×C32C23×D311yescharacteristic
386C2×C3×D3—32no—
387C2×C3×D3—61no—
388C2×C3×D3—61no—
389C32×C4—21no—
390C32×C4—21no—
391C3⋊Dic3—32no—
392C3⋊Dic3—61no—
393C3⋊Dic3—61no—
394C3⋊Dic3—61no—
395C3×Dic3—21no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—21no—
399C3×Dic3—32no—
400C3×Dic3—61no—
401C3×Dic3—61no—
402C22×C9—22no—
403C22×C9—22no—
404C22×C9—21no—
405C22×C9—21no—
406C22×C9—21no—
407C22×C9—22no—
408C22×C9C2×Dic612yes—
409C22×C9C23×D311yescharacteristic
410C2×D9—21no—
411C2×D9—21no—
412C2×D9C2×Dic612yes—
413C4×C9—21no—
414C4×C9—21no—
415C4×C9—41no—
416C4×C9—41no—
417C4×C9—61no—
418C4×C9—61no—
419C4×C9—61no—
420C4×C9—61no—
421Dic9—21no—
422Dic9—21no—
423Dic9—32no—
424Dic9—62no—
425Dic9—62no—
426Dic9—61no—
427Dic9—61no—
428Dic9—61no—
429Dic9—121no—
430Dic9—121no—
431Dic9C2×Dic612yes—
432C4⋊Q8—271no—
433#125—271no—
434#125—271no—
435C22⋊Q8—31no—
436C22⋊Q8—271no—
437C22⋊Q8—271no—
438C22⋊Q8—271no—
439C22⋊Q8—271no—
440C22⋊Q8—271no—
441C4×Q8—271no—
442C4×D4—91no—
443C4×D4—271no—
444C4×D4—271no—
445C2×C4⋊C4—271no—
446C2×C4⋊C4—271no—
447C3×C9#55411yescharacteristic, complemented, Sylow
448C23×C3—21no—
449C23×C3—91no—
450C23×C3C22×D911yescharacteristic
451C23×C3C2×D3211yescharacteristic
452C22×D3—31no—
453C3×Q8—121no—
454C3×D4—94no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—31no—
458C2×C3×C4—31no—
459C2×C3×C4—31no—
460C2×C3×C4—31no—
461C2×C3×C4—41no—
462C2×C3×C4—41no—
463C2×C3×C4—42no—
464C2×C3×C4—91no—
465C2×C3×C4—91no—
466C2×C3×C4—91no—
467C2×C3×C4—361no—
468C2×C3×C4C22×D911yescharacteristic
469C2×C3×C4C22×D911yescharacteristic
470C2×C3×C4C2×D3211yescharacteristic
471C2×C3×C4C2×D3211yescharacteristic
472#67—34no—
473C2×Dic3—31no—
474C2×Dic3—31no—
475C2×Dic3—31no—
476C2×Dic3—91no—
477C2×Dic3—91no—
478C2×Dic3—91no—
479C2×Dic3—91no—
480C2×Dic3—91no—
481C2×Dic3—91no—
482C2×Dic3—91no—
483C2×Dic3—91no—
484C2×Dic3—181no—
485C2×Dic3—181no—
486C2×Dic3—181no—
487C2×Dic3—181no—
488C2×Dic3—182no—
489C2×Dic3—182no—
490C2×Dic3—182no—
491C2×Dic3—184no—
492C2×Dic3—361no—
493C2×Dic3—361no—
494C2×Dic3—361no—
495C2×Dic3—362no—
496C2×Dic3C22×D911yescharacteristic
497C2×Dic3C22×D911yescharacteristic
498C2×Dic3C22×D911yescharacteristic
499C2×Dic3C22×D911yescharacteristic
500C4×D3—121no—
501C4×D3—182no—
502C4×D3—361no—
503Dic6—41no—
504Dic6—182no—
505Dic6—182no—
506Dic6—361no—
507Dic6—361no—
508C2×C32—22no—
509C2×C32#100411yescharacteristic
510C2×C32C2×D3×Q811yescharacteristic
511C2×C32D3×#4111yescharacteristic
512C3×D3—62no—
513C2×C9—24no—
514C2×C9—22no—
515C2×C9—21no—
516C2×C9—21no—
517C2×C9—21no—
518C2×C9C22×Dic611yescharacteristic
519C2×C9#100411yescharacteristic
520C2×C9D3×#4111yescharacteristic
521D9—22no—
522C2×Q8—31no—
523C2×Q8—271no—
524C2×Q8—271no—
525C2×D4—91no—
526C22×C4—91no—
527C22×C4—271no—
528C22×C4—271no—
529C22×C4—271no—
530C22×C4—271no—
531C22×C4D3×D911yescharacteristic
532C4⋊C4—31no—
533C4⋊C4—31no—
534C4⋊C4—31no—
535C4⋊C4—91no—
536C4⋊C4—271no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4—271no—
547C4⋊C4—271no—
548C22⋊C4—31no—
549C22⋊C4—31no—
550C22⋊C4—91no—
551C22⋊C4—91no—
552C22⋊C4—271no—
553C22⋊C4—271no—
554C42—91no—
555C42—271no—
556C42—271no—
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—21no—
560C22×C3—21no—
561C22×C3—21no—
562C22×C3—21no—
563C22×C3—22no—
564C22×C3—21no—
565C22×C3—92no—
566C22×C3—181no—
567C22×C3—181no—
568C22×C3Q8×D912yes—
569C22×C3C23×D911yescharacteristic
570C22×C3D3×Dic612yes—
571C22×C3C22×D3211yescharacteristic
572C2×D3—32no—
573C2×D3—61no—
574C2×D3—61no—
575C3×C4—21no—
576C3×C4—21no—
577C3×C4—21no—
578C3×C4—21no—
579C3×C4—41no—
580C3×C4—41no—
581C3×C4—61no—
582C3×C4—61no—
583C3×C4—61no—
584C3×C4—61no—
585C3×C4—92no—
586C3×C4—181no—
587C3×C4—181no—
588Dic3—21no—
589Dic3—21no—
590Dic3—21no—
591Dic3—21no—
592Dic3—32no—
593Dic3—61no—
594Dic3—61no—
595Dic3—92no—
596Dic3—92no—
597Dic3—182no—
598Dic3—182no—
599Dic3—181no—
600Dic3—181no—
601Dic3—181no—
602Dic3—181no—
603Dic3—181no—
604Dic3—181no—
605Dic3—361no—
606Dic3—361no—
607C32#563611yescharacteristic
608C9—21no—
609C9#553911yescharacteristic, complemented
610C23—91no—
611C23C2×D3×D911yescharacteristic
612Q8—121no—
613Q8—542no—
614Q8—1081no—
615D4—94no—
616C2×C4—31no—
617C2×C4—31no—
618C2×C4—31no—
619C2×C4—31no—
620C2×C4—41no—
621C2×C4—91no—
622C2×C4—91no—
623C2×C4—91no—
624C2×C4—271no—
625C2×C4—271no—
626C2×C4—271no—
627C2×C4—271no—
628C2×C4—361no—
629C2×C4—542no—
630C2×C4—542no—
631C2×C4—1081no—
632C2×C4—1081no—
633C2×C4C2×D3×D911yescharacteristic
634C2×C4C2×D3×D911yescharacteristic
635C2×C3—24no—
636C2×C3—22no—
637C2×C3—22no—
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—182no—
642C2×C3#6371011yescharacteristic
643C2×C3C2×Q8×D911yescharacteristic
644C2×C3#41×D911yescharacteristic
645C2×C3C2×D3×Dic611yescharacteristic
646C2×C3#6430611yescharacteristic
647C2×C3#6433011yescharacteristic
648D3—62no—
649C22—21no—
650C22—21no—
651C22—92no—
652C22—181no—
653C22—181no—
654C22D9×Dic612yes—
655C22C22×D3×D911yescharacteristic
656C4—21no—
657C4—21no—
658C4—61no—
659C4—61no—
660C4—61no—
661C4—61no—
662C4—92no—
663C4—181no—
664C4—181no—
665C4—272no—
666C4—541no—
667C4—541no—
668C4—541no—
669C3—21no—
670C3#1058973811yescharacteristic, complemented
671C3#1059495911yescharacteristic
672C2—22no—
673C2—182no—
674C2C2×D9×Dic611yescharacteristic
675C2#1172247511yescharacteristic
676C2#1172253511yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC22×C3×C4×C9C22
socleC22×C32C23×D3
prime radicalC2×C3×#611C22
hypercenterC22×C4D3×D9
hypocenterC3×C9#554
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. C2×#88534C2semidirect
3. C9×#924C2semidirect
6. #11721267C2semidirect
7. #11721267C2semidirect
8. #11720999C2semidirect
9. #11720984C2semidirect
10. D9×Dic3⋊C4C2semidirect
11. #11720939C2semidirect
12. #11720933C2semidirect
13. #11720917C2semidirect
14. #11720903C2semidirect
15. #11720901C2semidirect
95. C3×#611Q8semidirect
216. #924D9semidirect
278. #611Dic6semidirect
447. C3×C9#554semidirect
609. C9#5539semidirect
670. C3#10589738semidirect

Maximal subgroups

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

subgroupindex
C2×#885342
C3×C4×#6112
C9×#9242
#611⋊Dic32
#117212672
#117209992
#117209842
D9×Dic3⋊C42
#117209392
#117209332
#117209172
#117209032
#117209012
#105949593
#105897383