Finite Group Databasebeta

← #13148072

Subgroups — #13148072

Order 1728.

758 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721724C211yesmaximal, characteristic, complemented
2C3×#611⋊C4C211yesmaximal, characteristic
3C9×#878C211yesmaximal, characteristic, complemented
4#611⋊Dic3C211yesmaximal, characteristic
5Dic3×#611C211yesmaximal, characteristic
6C2×Dic3⋊Dic9C211yesmaximal, characteristic, complemented
7#11721253C211yesmaximal, characteristic, complemented
8#11720991C211yesmaximal, characteristic, complemented
9#11720984C211yesmaximal, characteristic, complemented
10D9×Dic3⋊C4C211yesmaximal, characteristic, complemented
11#11720945C211yesmaximal, characteristic, complemented
12#11720933C211yesmaximal, characteristic, complemented
13#11720917C211yesmaximal, characteristic, complemented
14Dic6×Dic9C211yesmaximal, characteristic, complemented
15#11720905C211yesmaximal, characteristic, complemented
16#10594133—31nomaximal
17#10589737—31nomaximal
18C22×C3⋊Dic9C2211yescharacteristic
19C2×#6226C2211yescharacteristic
20C2×C3×#611C2211yescharacteristic
21C22×C9×Dic3C2211yescharacteristic
22C22×C3×Dic9C2211yescharacteristic
23C2×C3×C4×D9C2211yescharacteristic
24C2×C9×Dic6C2211yescharacteristic
25C2×Dic3×D9C2211yescharacteristic
26C2×Dic3×D9C2211yescharacteristic
27C2×#6189C2211yescharacteristic
28C3×C9×C22⋊C4C2211yescharacteristic
29#88551C2211yescharacteristic
30C4⋊(C3⋊Dic9)C2211yescharacteristic
31#88534C2211yescharacteristic
32#88534C2211yescharacteristic
33C9×#217C2211yescharacteristic
34C3×(C2×D9)⋊C4C2211yescharacteristic
35C9×C4⋊Dic3C2211yescharacteristic
36C9×Dic3⋊C4C2211yescharacteristic
37C9×Dic3⋊C4C2211yescharacteristic
38C3×Dic9⋊C4C2211yescharacteristic
39C3×C4×Dic9C2211yescharacteristic
40(C2×D9)⋊Dic3C2211yescharacteristic
41(C2×D9)⋊Dic3C2211yescharacteristic
42Dic3⋊Dic9C2211yescharacteristic
43Dic3⋊Dic9C2211yescharacteristic
44Dic3⋊Dic9C2211yescharacteristic
45Dic3⋊Dic9C2211yescharacteristic
46Dic3⋊Dic9C2211yescharacteristic
47#88442C2211yescharacteristic
48Dic9⋊Dic3C2211yescharacteristic
49Dic9⋊Dic3C2211yescharacteristic
50Dic9⋊Dic3C2211yescharacteristic
51Dic3×Dic9C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64087—31no—
54C3×#67⋊C4—31no—
55C3×#878D311yescharacteristic
56#67⋊Dic3—31no—
57Dic3×#67—31no—
58C2×Dic3⋊Dic3—31no—
59#63964—31no—
60#63893—31no—
61#63887—31no—
62D3×Dic3⋊C4—31no—
63#63867—31no—
64#63857—31no—
65#63846—31no—
66Dic3×Dic6—31no—
67#63840—31no—
68C9×C22⋊Q8—31no—
69#63508—31no—
70Q8×Dic9—31no—
71C4×#611—31no—
72C2×C4⋊Dic9—31no—
73#63459—31no—
74#63459—31no—
75C4⋊C4×D9—31no—
76#63451—31no—
77#63451—31no—
78#63450—31no—
79#611⋊C4—31no—
80#611⋊C4D311yescharacteristic
81#63440—31no—
82#63440—31no—
83#63440—61no—
84C23×C3×C9C2311yescharacteristic
85C22×C3×D9C2311yescharacteristic
86C2×C3×C4×C9C2311yescharacteristic
87C2×C3×C4×C9C2311yescharacteristic
88C2×C3⋊Dic9—41no—
89C2×C3⋊Dic9C2311yescharacteristic
90C2×C3⋊Dic9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93#6226—41no—
94C3×#611Q814yescomplemented
95C2×C9×Dic3—22no—
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C9×Dic3C2311yescharacteristic
99C2×C9×Dic3C2311yescharacteristic
100C2×C3×Dic9—41no—
101C2×C3×Dic9C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103C2×C3×Dic9C2311yescharacteristic
104C3×C4×D9—41no—
105C9×Dic6—22no—
106Dic3×D9—22no—
107Dic3×D9—41no—
108#6189—41no—
109#5635—91no—
110#5539—91no—
111C22×C3⋊Dic3—31no—
112C2×#634—31no—
113C2×C3×#67—31no—
114C22×C3×Dic3—31no—
115C22×C3×Dic3C2×D311yescharacteristic
116C2×C3×C4×D3—31no—
117C2×C3×Dic6C2×D311yescharacteristic
118C2×#627—31no—
119C2×D3×Dic3—31no—
120C2×D3×Dic3—31no—
121C32×C22⋊C4C2×D311yescharacteristic
122#3757—31no—
123C4⋊(C3⋊Dic3)—31no—
124#3750—31no—
125#3750—31no—
126C3×#217C2×D311yescharacteristic
127C3×(C2×D3)⋊C4—31no—
128C3×C4⋊Dic3C2×D311yescharacteristic
129C3×Dic3⋊C4—31no—
130C3×Dic3⋊C4C2×D311yescharacteristic
131C3×Dic3⋊C4C2×D311yescharacteristic
132C3×C4×Dic3—31no—
133#3724—31no—
134Dic3⋊Dic3—31no—
135Dic3⋊Dic3—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—31no—
148C2×#611C2×D311yescharacteristic
149C22×Dic9—31no—
150C22×Dic9—61no—
151C22×Dic9C2×D311yescharacteristic
152C2×C4×D9—31no—
153C2×C4×D9—31no—
154C2×C4×D9C2×D311yescharacteristic
155C2×Dic18—31no—
156C2×Dic18—31no—
157C2×Dic18—61no—
158C9×C4⋊C4—31no—
159C9×C4⋊C4—31no—
160C9×C4⋊C4—31no—
161C9×C22⋊C4—21no—
162C9×C22⋊C4—31no—
163C9×C22⋊C4C2×D311yescharacteristic
164#3676—31no—
165#3676—61no—
166(C2×D9)⋊C4—31no—
167(C2×D9)⋊C4—31no—
168(C2×D9)⋊C4C2×D311yescharacteristic
169C4⋊Dic9—31no—
170C4⋊Dic9—31no—
171C4⋊Dic9—31no—
172C4⋊Dic9—31no—
173C4⋊Dic9—31no—
174C4⋊Dic9—31no—
175C4⋊Dic9—61no—
176Dic9⋊C4—31no—
177Dic9⋊C4—31no—
178Dic9⋊C4—31no—
179Dic9⋊C4—31no—
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
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—21no—
201C9×Dic3—21no—
202C9×Dic3—21no—
203C9×Dic3—21no—
204C9×Dic3#4112yes—
205C3×Dic9—21no—
206C3×Dic9—21no—
207C3×Dic9C2×Q812yes—
208C3×C22⋊Q8—31no—
209C3×C4×D4—91no—
210#946—91no—
211Q8×Dic3—91no—
212D4×Dic3—91no—
213D4×Dic3—91no—
214C4×#67—91no—
215C2×C4⋊Dic3—91no—
216#924—91no—
217#924—91no—
218C2×Dic3⋊C4—91no—
219C2×Dic3⋊C4—91no—
220#897—91no—
221#897—91no—
222D3×C4⋊C4—91no—
223#890—91no—
224#889—91no—
225#889—91no—
226#888—91no—
227#888—91no—
228#67⋊C4—31no—
229#67⋊C4—91no—
230#878—91no—
231#878—91no—
232#878—91no—
233#878—91no—
234#878—91no—
235#878—181no—
236#878D911yescharacteristic, complemented
237#870—91no—
238C4×Dic6—91no—
239C23×C32C22×D311yescharacteristic
240C22×C3×D3—31no—
241C2×C32×C4C22×D311yescharacteristic
242C2×C32×C4C22×D311yescharacteristic
243C2×C3⋊Dic3—31no—
244C2×C3⋊Dic3—31no—
245C2×C3⋊Dic3—31no—
246C2×C3⋊Dic3—31no—
247C2×C3⋊Dic3—121no—
248#634—121no—
249C3×#67—34no—
250C2×C3×Dic3—22no—
251C2×C3×Dic3—31no—
252C2×C3×Dic3—31no—
253C2×C3×Dic3—31no—
254C2×C3×Dic3—121no—
255C2×C3×Dic3C22×D311yescharacteristic
256C2×C3×Dic3C22×D311yescharacteristic
257C2×C3×Dic3C22×D311yescharacteristic
258C2×C3×Dic3C22×D311yescharacteristic
259C3×C4×D3—121no—
260C3×Dic6—22no—
261#627—121no—
262D3×Dic3—62no—
263D3×Dic3—121no—
264C23×C9—21no—
265C23×C9C22×D311yescharacteristic
266C22×D9C22×D311yescharacteristic
267Q8×C9—62no—
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—62no—
275C2×C4×C9C22×D311yescharacteristic
276C2×C4×C9C22×D311yescharacteristic
277#611Dic614yescomplemented
278C2×Dic9—31no—
279C2×Dic9—31no—
280C2×Dic9—31no—
281C2×Dic9—31no—
282C2×Dic9—41no—
283C2×Dic9—61no—
284C2×Dic9—61no—
285C2×Dic9—61no—
286C2×Dic9—61no—
287C2×Dic9—121no—
288C2×Dic9—122no—
289C2×Dic9C22×D311yescharacteristic
290C2×Dic9C22×D311yescharacteristic
291C2×Dic9C22×D311yescharacteristic
292C4×D9—41no—
293C4×D9—62no—
294C4×D9—121no—
295Dic18—121no—
296Dic18—121no—
297Dic18—122no—
298#554—271noSylow
299C2×C3×C9—22no—
300C2×C3×C9C22×Q811yescharacteristic
301C2×C3×C9C2×#4111yescharacteristic
302C2×C3×C9H(5,𝔽2)11yescharacteristic
303C3×D9—22no—
304C2×C3×Q8—31no—
305C2×C3×D4—91no—
306C22×C3×C4—31no—
307C22×C3×C4—91no—
308C22×C3×C4—91no—
309C2×#67—31no—
310C22×Dic3—31no—
311C22×Dic3—91no—
312C22×Dic3—91no—
313C22×Dic3—91no—
314C22×Dic3—91no—
315C22×Dic3—181no—
316C22×Dic3C2×D911yescharacteristic
317C2×C4×D3—31no—
318C2×C4×D3—91no—
319C2×C4×D3—91no—
320C2×Dic6—91no—
321C2×Dic6—91no—
322C2×Dic6—91no—
323C2×Dic6—91no—
324C2×Dic6—181no—
325C2×Dic6C2×D911yescharacteristic
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—91no—
330C3×C22⋊C4—21no—
331C3×C22⋊C4—31no—
332C3×C22⋊C4—91no—
333C3×C22⋊C4C2×D911yescharacteristic
334C3×C22⋊C4D3211yescharacteristic
335C3×C42—91no—
336#217—91no—
337#217—91no—
338#217—91no—
339#217—91no—
340#217—181no—
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⋊Dic3—91no—
352C4⋊Dic3—91no—
353C4⋊Dic3—91no—
354C4⋊Dic3—91no—
355C4⋊Dic3—181no—
356C4⋊Dic3C2×D911yescharacteristic
357Dic3⋊C4—31no—
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—91no—
372Dic3⋊C4—181no—
373Dic3⋊C4—181no—
374Dic3⋊C4C2×D911yescharacteristic
375Dic3⋊C4C2×D911yescharacteristic
376C4×Dic3—31no—
377C4×Dic3—91no—
378C4×Dic3—91no—
379C4×Dic3—91no—
380C4×Dic3—91no—
381C22×C32—21no—
382C22×C32—21no—
383C22×C32D3×Q812yes—
384C22×C32C23×D311yescharacteristic
385C2×C3×D3—32no—
386C2×C3×D3—61no—
387C2×C3×D3—61no—
388C32×C4—21no—
389C32×C4—21no—
390C3⋊Dic3—61no—
391C3⋊Dic3—61no—
392C3⋊Dic3—61no—
393C3⋊Dic3—61no—
394C3×Dic3—21no—
395C3×Dic3—21no—
396C3×Dic3—21no—
397C3×Dic3—32no—
398C3×Dic3—61no—
399C3×Dic3—61no—
400C3×Dic3#23712yes—
401C22×C9—21no—
402C22×C9—21no—
403C22×C9—21no—
404C22×C9—22no—
405C22×C9—41no—
406C22×C9—41no—
407C22×C9C2×Dic612yes—
408C22×C9C23×D311yescharacteristic
409C2×D9—21no—
410C2×D9—21no—
411C2×D9C2×Dic612yes—
412C4×C9—21no—
413C4×C9—21no—
414C4×C9—32no—
415C4×C9—41no—
416C4×C9—41no—
417C4×C9—61no—
418C4×C9—61no—
419C4×C9—61no—
420Dic9—21no—
421Dic9—21no—
422Dic9—62no—
423Dic9—61no—
424Dic9—61no—
425Dic9—61no—
426Dic9—61no—
427Dic9—121no—
428Dic9—121no—
429Dic9—121no—
430Dic9C2×Dic612yes—
431C4⋊Q8—271no—
432#125—271no—
433#125—271no—
434C22⋊Q8—31no—
435C22⋊Q8—271no—
436C22⋊Q8—271no—
437C22⋊Q8—271no—
438C22⋊Q8—271no—
439C22⋊Q8—271no—
440C4×Q8—271no—
441C4×D4—91no—
442C4×D4—271no—
443C4×D4—271no—
444C2×C4⋊C4—271no—
445C2×C4⋊C4—271no—
446C3×C9#55411yescharacteristic, complemented, Sylow
447C23×C3—21no—
448C23×C3—91no—
449C23×C3C22×D911yescharacteristic
450C23×C3C2×D3211yescharacteristic
451C22×D3—31no—
452C3×Q8—62no—
453C3×D4—94no—
454C2×C3×C4—21no—
455C2×C3×C4—21no—
456C2×C3×C4—31no—
457C2×C3×C4—31no—
458C2×C3×C4—31no—
459C2×C3×C4—31no—
460C2×C3×C4—62no—
461C2×C3×C4—91no—
462C2×C3×C4—91no—
463C2×C3×C4—91no—
464C2×C3×C4—361no—
465C2×C3×C4—361no—
466C2×C3×C4C22×D911yescharacteristic
467C2×C3×C4C22×D911yescharacteristic
468C2×C3×C4C2×D3211yescharacteristic
469C2×C3×C4C2×D3211yescharacteristic
470#67—34no—
471C2×Dic3—22no—
472C2×Dic3—31no—
473C2×Dic3—31no—
474C2×Dic3—31no—
475C2×Dic3—91no—
476C2×Dic3—91no—
477C2×Dic3—91no—
478C2×Dic3—91no—
479C2×Dic3—91no—
480C2×Dic3—91no—
481C2×Dic3—91no—
482C2×Dic3—91no—
483C2×Dic3—121no—
484C2×Dic3—181no—
485C2×Dic3—181no—
486C2×Dic3—181no—
487C2×Dic3—181no—
488C2×Dic3—182no—
489C2×Dic3—361no—
490C2×Dic3—361no—
491C2×Dic3—361no—
492C2×Dic3—362no—
493C2×Dic3C22×D911yescharacteristic
494C2×Dic3C22×D911yescharacteristic
495C2×Dic3C22×D911yescharacteristic
496C2×Dic3C22×D911yescharacteristic
497C4×D3—121no—
498C4×D3—182no—
499C4×D3—361no—
500Dic6—22no—
501Dic6—361no—
502Dic6—361no—
503Dic6—361no—
504Dic6—361no—
505Dic6—362no—
506C2×C32—22no—
507C2×C32C2×#23711yescharacteristic
508C2×C32C2×D3×Q811yescharacteristic
509C2×C32#100911yescharacteristic
510C3×D3—62no—
511C2×C9—22no—
512C2×C9—21no—
513C2×C9—21no—
514C2×C9—21no—
515C2×C9—42no—
516C2×C9C22×Dic611yescharacteristic
517C2×C9#100411yescharacteristic
518C2×C9D3×#4111yescharacteristic
519D9—22no—
520C2×Q8—31no—
521C2×Q8—271no—
522C2×Q8—271no—
523C2×D4—91no—
524C22×C4—31no—
525C22×C4—91no—
526C22×C4—91no—
527C22×C4—271no—
528C22×C4—271no—
529C22×C4—271no—
530C4⋊C4—31no—
531C4⋊C4—31no—
532C4⋊C4—31no—
533C4⋊C4—91no—
534C4⋊C4—271no—
535C4⋊C4—271no—
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—
546C22⋊C4—31no—
547C22⋊C4—91no—
548C22⋊C4—271no—
549C22⋊C4—271no—
550C22⋊C4—271no—
551C22⋊C4D3×D911yescharacteristic
552C42—91no—
553C42—271no—
554C42—271no—
555C22×C3—21no—
556C22×C3—21no—
557C22×C3—21no—
558C22×C3—21no—
559C22×C3—22no—
560C22×C3—21no—
561C22×C3—41no—
562C22×C3—41no—
563C22×C3—92no—
564C22×C3—181no—
565C22×C3—181no—
566C22×C3Q8×D912yes—
567C22×C3C23×D911yescharacteristic
568C22×C3D3×Dic612yes—
569C22×C3C22×D3211yescharacteristic
570C2×D3—32no—
571C2×D3—61no—
572C2×D3—61no—
573C3×C4—21no—
574C3×C4—21no—
575C3×C4—21no—
576C3×C4—21no—
577C3×C4—32no—
578C3×C4—41no—
579C3×C4—41no—
580C3×C4—61no—
581C3×C4—61no—
582C3×C4—61no—
583C3×C4—92no—
584C3×C4—181no—
585C3×C4—181no—
586Dic3—21no—
587Dic3—21no—
588Dic3—21no—
589Dic3—32no—
590Dic3—61no—
591Dic3—61no—
592Dic3—182no—
593Dic3—181no—
594Dic3—181no—
595Dic3—181no—
596Dic3—181no—
597Dic3—181no—
598Dic3—181no—
599Dic3—181no—
600Dic3—181no—
601Dic3—361no—
602Dic3—361no—
603Dic3—361no—
604Dic3#369912yes—
605C32#563511yescharacteristic
606C9—21no—
607C9#553911yescharacteristic, complemented
608C23—91no—
609C23C2×D3×D911yescharacteristic
610Q8—62no—
611Q8—1081no—
612Q8—1081no—
613D4—94no—
614C2×C4—31no—
615C2×C4—31no—
616C2×C4—31no—
617C2×C4—31no—
618C2×C4—62no—
619C2×C4—91no—
620C2×C4—91no—
621C2×C4—91no—
622C2×C4—271no—
623C2×C4—271no—
624C2×C4—271no—
625C2×C4—271no—
626C2×C4—361no—
627C2×C4—361no—
628C2×C4—542no—
629C2×C4—1081no—
630C2×C4—1081no—
631C2×C4C2×D3×D911yescharacteristic
632C2×C4C2×D3×D911yescharacteristic
633C2×C3—22no—
634C2×C3—22no—
635C2×C3—21no—
636C2×C3—21no—
637C2×C3—21no—
638C2×C3—42no—
639C2×C3—182no—
640C2×C3C2×#369911yescharacteristic
641C2×C3C2×Q8×D911yescharacteristic
642C2×C3#6371511yescharacteristic
643C2×C3C2×D3×Dic611yescharacteristic
644C2×C3D3×#23711yescharacteristic
645C2×C3#6431411yescharacteristic
646D3—62no—
647C22—21no—
648C22—21no—
649C22—92no—
650C22—181no—
651C22—181no—
652C22D9×Dic612yes—
653C22C22×D3×D911yescharacteristic
654C4—21no—
655C4—21no—
656C4—32no—
657C4—61no—
658C4—61no—
659C4—61no—
660C4—92no—
661C4—181no—
662C4—181no—
663C4—541no—
664C4—541no—
665C4—541no—
666C4—541no—
667C3—21no—
668C3#1058973711yescharacteristic, complemented
669C3#1059413311yescharacteristic
670C2—22no—
671C2—182no—
672C2C2×D9×Dic611yescharacteristic
673C2D3×#369911yescharacteristic
674C2#1172250111yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
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. #11721724C2semidirect
3. C9×#878C2semidirect
6. C2×Dic3⋊Dic9C2semidirect
7. #11721253C2semidirect
8. #11720991C2semidirect
9. #11720984C2semidirect
10. D9×Dic3⋊C4C2semidirect
11. #11720945C2semidirect
12. #11720933C2semidirect
13. #11720917C2semidirect
14. Dic6×Dic9C2semidirect
15. #11720905C2semidirect
94. C3×#611Q8semidirect
236. #878D9semidirect
277. #611Dic6semidirect
446. C3×C9#554semidirect
607. C9#5539semidirect
668. C3#10589737semidirect

Maximal subgroups

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

subgroupindex
#117217242
C3×#611⋊C42
C9×#8782
#611⋊Dic32
Dic3×#6112
C2×Dic3⋊Dic92
#117212532
#117209912
#117209842
D9×Dic3⋊C42
#117209452
#117209332
#117209172
Dic6×Dic92
#117209052
#105941333
#105897373