Finite Group Databasebeta

← #13141143

Subgroups — #13141143

Order 1728.

1098 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
1C22×C9×#67C211yesmaximal, characteristic, complemented
2C22×C3×#611C211yesmaximal, characteristic, complemented
3C22×#6194C211yesmaximal, characteristic, complemented
4C2×#88551C211yesmaximal, characteristic, complemented
5C2×(C2×D3)⋊Dic9C211yesmaximal, characteristic, complemented
6C2×(C2×D9)⋊Dic3C211yesmaximal, characteristic, complemented
7#11720331C211yesmaximal, characteristic, complemented
8#10591723—31nomaximal
9#10588903—31nomaximal
10C24×C3×C9C2211yescharacteristic
11C23×D3×C9C2211yescharacteristic
12C23×C3×D9C2211yescharacteristic
13C22×C3⋊Dic9C2211yescharacteristic
14C22×C3⋊Dic9C2211yescharacteristic
15C2×C9×#67—22no—
16C2×C9×#67—22no—
17C2×C9×#67—22no—
18C2×C3×#611—22no—
19C2×C3×#611—22no—
20C2×C3×#611—22no—
21C22×C9×Dic3C2211yescharacteristic
22C22×C3×Dic9C2211yescharacteristic
23C2×#6194—22no—
24C2×#6194—22no—
25C2×#6194—22no—
26#88551—22no—
27(C2×D3)⋊Dic9—22no—
28(C2×D9)⋊Dic3—22no—
29C22×C3×#67—31no—
30C22×C3×#67D311yescharacteristic
31C22×#625—31no—
32C2×#3757—31no—
33C2×(C2×D3)⋊Dic3—31no—
34C2×(C2×D3)⋊Dic3—31no—
35C22×D4×C9—31no—
36C22×#611—31no—
37C22×#611D311yescharacteristic, complemented
38#63579—31no—
39C2×#3676—31no—
40C2×#3676—31no—
41C2×#3676—61no—
42C2×(C2×D9)⋊C4—31no—
43C9⋊#95—31no—
44C23×C3×C9—21no—
45C23×C3×C9—21no—
46C23×C3×C9—21no—
47C23×C3×C9—21no—
48C23×C3×C9—21no—
49C23×C3×C9—21no—
50C23×C3×C9D412yescomplemented
51C23×C3×C9C2311yescharacteristic
52C22×D3×C9—21no—
53C22×D3×C9—21no—
54C22×D3×C9—21no—
55C22×D3×C9—21no—
56C22×D3×C9—21no—
57C22×D3×C9—21no—
58C22×D3×C9D412yescomplemented
59C22×C3×D9—21no—
60C22×C3×D9—21no—
61C22×C3×D9—21no—
62C22×C3×D9—21no—
63C22×C3×D9—21no—
64C22×C3×D9—21no—
65C22×C3×D9D412yescomplemented
66C2×C3⋊Dic9—21no—
67C2×C3⋊Dic9—21no—
68C2×C3⋊Dic9—21no—
69C2×C3⋊Dic9—21no—
70C2×C3⋊Dic9—21no—
71C2×C3⋊Dic9D412yescomplemented
72C9×#67—28no—
73C3×#611—28no—
74C2×C9×Dic3—21no—
75C2×C9×Dic3—21no—
76C2×C9×Dic3D412yescomplemented
77C2×C3×Dic9—21no—
78C2×C3×Dic9—21no—
79C2×C3×Dic9D412yescomplemented
80#6194—28no—
81#5223—91no—
82#5223—91no—
83C24×C32C2×D311yescharacteristic
84C23×C3×D3—31no—
85C23×C3×D3C2×D311yescharacteristic
86C22×C3⋊Dic3—31no—
87C22×C3⋊Dic3—31no—
88C2×C3×#67—22no—
89C2×C3×#67—22no—
90C2×C3×#67—22no—
91C2×C3×#67—62no—
92C2×C3×#67—62no—
93C2×C3×#67—62no—
94C22×C3×Dic3—31no—
95C22×C3×Dic3C2×D311yescharacteristic
96C2×#625—62no—
97C2×#625—62no—
98C2×#625—62no—
99C24×C9—21no—
100C24×C9—31no—
101C24×C9C2×D311yescharacteristic
102C23×D9C2×D311yescharacteristic
103#3757—62no—
104(C2×D3)⋊Dic3—62no—
105(C2×D3)⋊Dic3—62no—
106C2×D4×C9—62no—
107C2×D4×C9—62no—
108C2×D4×C9—62no—
109C22×C4×C9—31no—
110C2×#611—22no—
111C2×#611—22no—
112C2×#611—22no—
113C2×#611—62no—
114C2×#611—62no—
115C2×#611—62no—
116C22×Dic9—31no—
117C22×Dic9—31no—
118C22×Dic9—61no—
119C22×Dic9—61no—
120C22×Dic9C2×D311yescharacteristic
121#3676—62no—
122#3676—64no—
123#3676—62no—
124(C2×D9)⋊C4—62no—
125C22×C3×C9—22no—
126C22×C3×C9—22no—
127C22×C3×C9—22no—
128C22×C3×C9—41no—
129C22×C3×C9—41no—
130C22×C3×C9—41no—
131C22×C3×C9—41no—
132C22×C3×C9C2×D411yescharacteristic
133C22×C3×C9C2×D411yescharacteristic
134C22×C3×C9C2×D411yescharacteristic
135C22×C3×C9C2×D411yescharacteristic
136C22×C3×C9C2×D411yescharacteristic
137C22×C3×C9C2×D411yescharacteristic
138C22×C3×C9#4111yescharacteristic
139C2×D3×C9—22no—
140C2×D3×C9—22no—
141C2×D3×C9—22no—
142C2×D3×C9—41no—
143C2×D3×C9—41no—
144C2×D3×C9—41no—
145C2×D3×C9—41no—
146C2×C3×D9—22no—
147C2×C3×D9—22no—
148C2×C3×D9—22no—
149C2×C3×D9—41no—
150C2×C3×D9—41no—
151C2×C3×D9—41no—
152C2×C3×D9—41no—
153C3⋊Dic9—22no—
154C3⋊Dic9—41no—
155C9×Dic3—22no—
156C3×Dic9—22no—
157C22×C3×D4—31no—
158C22×C3×D4—91no—
159C22×#67—31no—
160C22×#67—91no—
161C22×#67—91no—
162C22×#67D911yescharacteristic, complemented
163C2×#217—91no—
164C2×#217—91no—
165C2×#217—91no—
166C2×#217—91no—
167C2×#217—181no—
168C2×(C2×D3)⋊C4—91no—
169C2×(C2×D3)⋊C4—91no—
170C3⋊#95—91no—
171C3⋊#95—91no—
172C23×C32—21no—
173C23×C32—21no—
174C23×C32—21no—
175C23×C32—21no—
176C23×C32—21no—
177C23×C32—21no—
178C23×C32#6712yes—
179C23×C32C22×D311yescharacteristic
180C22×C3×D3—21no—
181C22×C3×D3—21no—
182C22×C3×D3—21no—
183C22×C3×D3—21no—
184C22×C3×D3—21no—
185C22×C3×D3—21no—
186C22×C3×D3—32no—
187C22×C3×D3—61no—
188C22×C3×D3—61no—
189C22×C3×D3—61no—
190C22×C3×D3—61no—
191C22×C3×D3—61no—
192C22×C3×D3—61no—
193C22×C3×D3#6712yes—
194C2×C3⋊Dic3—32no—
195C2×C3⋊Dic3—61no—
196C2×C3⋊Dic3—61no—
197C2×C3⋊Dic3—61no—
198C2×C3⋊Dic3—61no—
199C2×C3⋊Dic3—61no—
200C3×#67—28no—
201C3×#67—68no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3—32no—
205C2×C3×Dic3—61no—
206C2×C3×Dic3—61no—
207C2×C3×Dic3#6712yes—
208#625—68no—
209C23×C9—22no—
210C23×C9—22no—
211C23×C9—21no—
212C23×C9—21no—
213C23×C9—21no—
214C23×C9—21no—
215C23×C9—21no—
216C23×C9—21no—
217C23×C9—22no—
218C23×C9—21no—
219C23×C9—32no—
220C23×C9—41no—
221C23×C9—41no—
222C23×C9—41no—
223C23×C9—41no—
224C23×C9—61no—
225C23×C9—61no—
226C23×C9—61no—
227C23×C9—61no—
228C23×C9—61no—
229C23×C9—61no—
230C23×C9#6712yescomplemented
231C23×C9C22×D311yescharacteristic
232C22×D9—21no—
233C22×D9—21no—
234C22×D9—21no—
235C22×D9—21no—
236C22×D9—21no—
237C22×D9—21no—
238C22×D9#6712yescomplemented
239D4×C9—68no—
240C2×C4×C9—32no—
241C2×C4×C9—61no—
242C2×C4×C9—61no—
243#611—28no—
244#611—68no—
245C2×Dic9—21no—
246C2×Dic9—21no—
247C2×Dic9—32no—
248C2×Dic9—62no—
249C2×Dic9—61no—
250C2×Dic9—61no—
251C2×Dic9—62no—
252C2×Dic9—61no—
253C2×Dic9—61no—
254C2×Dic9—61no—
255C2×Dic9—121no—
256C2×Dic9—121no—
257C2×Dic9—121no—
258C2×Dic9—121no—
259C2×Dic9#6712yescomplemented
260#392—271noSylow
261C2×C3×C9—42no—
262C2×C3×C9#12011yescharacteristic
263C2×C3×C9#12011yescharacteristic
264C2×C3×C9#12011yescharacteristic
265C2×C3×C9#12111yescharacteristic
266C2×C3×C9#12111yescharacteristic
267C2×C3×C9#12111yescharacteristic
268C2×C3×C9#12711yescharacteristic
269D3×C9—42no—
270C3×D9—42no—
271C24×C3—21no—
272C24×C3—31no—
273C24×C3—91no—
274C24×C3C2×D911yescharacteristic
275C24×C3D3211yescharacteristic
276C23×D3—31no—
277C23×D3C2×D911yescharacteristic
278C2×C3×D4—62no—
279C2×C3×D4—62no—
280C2×C3×D4—62no—
281C2×C3×D4—182no—
282C2×C3×D4—182no—
283C2×C3×D4—182no—
284C22×C3×C4—31no—
285C22×C3×C4—91no—
286C2×#67—22no—
287C2×#67—22no—
288C2×#67—22no—
289C2×#67—62no—
290C2×#67—62no—
291C2×#67—62no—
292C2×#67—182no—
293C2×#67—182no—
294C2×#67—182no—
295C2×#67—182no—
296C2×#67—182no—
297C2×#67—182no—
298C22×Dic3—31no—
299C22×Dic3—91no—
300C22×Dic3—91no—
301C22×Dic3—91no—
302C22×Dic3—91no—
303C22×Dic3—181no—
304C22×Dic3—181no—
305C22×Dic3C2×D911yescharacteristic
306#217—182no—
307#217—182no—
308#217—182no—
309#217—184no—
310#217—182no—
311(C2×D3)⋊C4—182no—
312(C2×D3)⋊C4—182no—
313C22×C32—22no—
314C22×C32—22no—
315C22×C32—22no—
316C22×C32—41no—
317C22×C32—41no—
318C22×C32—41no—
319C22×C32—41no—
320C22×C32D3×D411yescharacteristic
321C22×C32D3×D411yescharacteristic
322C22×C32D3×D411yescharacteristic
323C22×C32#23711yescharacteristic
324C22×C32C2×#6711yescharacteristic
325C22×C32C2×#6711yescharacteristic
326C22×C32C2×#6711yescharacteristic
327C2×C3×D3—22no—
328C2×C3×D3—22no—
329C2×C3×D3—22no—
330C2×C3×D3—41no—
331C2×C3×D3—41no—
332C2×C3×D3—41no—
333C2×C3×D3—41no—
334C2×C3×D3—62no—
335C2×C3×D3—62no—
336C2×C3×D3—62no—
337C2×C3×D3—121no—
338C2×C3×D3—121no—
339C2×C3×D3—121no—
340C2×C3×D3—121no—
341C3⋊Dic3—62no—
342C3⋊Dic3—121no—
343C3×Dic3—22no—
344C3×Dic3—62no—
345C22×C9—24no—
346C22×C9—22no—
347C22×C9—22no—
348C22×C9—22no—
349C22×C9—21no—
350C22×C9—21no—
351C22×C9—21no—
352C22×C9—21no—
353C22×C9—21no—
354C22×C9—21no—
355C22×C9—21no—
356C22×C9—42no—
357C22×C9—42no—
358C22×C9—42no—
359C22×C9—42no—
360C22×C9—42no—
361C22×C9—42no—
362C22×C9—41no—
363C22×C9—41no—
364C22×C9—41no—
365C22×C9—41no—
366C22×C9—62no—
367C22×C9—62no—
368C22×C9—62no—
369C22×C9—121no—
370C22×C9—121no—
371C22×C9—121no—
372C22×C9—121no—
373C22×C9D3×D411yescharacteristic
374C22×C9D3×D411yescharacteristic
375C22×C9D3×D411yescharacteristic
376C22×C9#23711yescharacteristic
377C22×C9C2×#6711yescharacteristic
378C22×C9C2×#6711yescharacteristic
379C22×C9C2×#6711yescharacteristic
380C2×D9—22no—
381C2×D9—22no—
382C2×D9—22no—
383C2×D9—41no—
384C2×D9—41no—
385C2×D9—41no—
386C2×D9—41no—
387C4×C9—62no—
388Dic9—22no—
389Dic9—62no—
390Dic9—122no—
391Dic9—122no—
392Dic9—121no—
393C22×D4—31no—
394C22×D4—91no—
395C22×D4—271no—
396C2×C22⋊C4—271no—
397C2×C22⋊C4—271no—
398C2×C22⋊C4—271no—
399#95—271no—
400C3×C9#39211yescharacteristic, complemented, Sylow
401C23×C3—22no—
402C23×C3—22no—
403C23×C3—21no—
404C23×C3—21no—
405C23×C3—21no—
406C23×C3—21no—
407C23×C3—21no—
408C23×C3—21no—
409C23×C3—21no—
410C23×C3—21no—
411C23×C3—21no—
412C23×C3—21no—
413C23×C3—21no—
414C23×C3—21no—
415C23×C3—22no—
416C23×C3—21no—
417C23×C3—32no—
418C23×C3—41no—
419C23×C3—41no—
420C23×C3—41no—
421C23×C3—41no—
422C23×C3—61no—
423C23×C3—61no—
424C23×C3—61no—
425C23×C3—61no—
426C23×C3—61no—
427C23×C3—61no—
428C23×C3—92no—
429C23×C3—181no—
430C23×C3—181no—
431C23×C3—181no—
432C23×C3—181no—
433C23×C3—181no—
434C23×C3—181no—
435C23×C3#61112yescomplemented
436C23×C3C22×D911yescharacteristic
437C23×C3#62512yes—
438C23×C3C2×D3211yescharacteristic
439C22×D3—21no—
440C22×D3—21no—
441C22×D3—21no—
442C22×D3—21no—
443C22×D3—21no—
444C22×D3—21no—
445C22×D3—32no—
446C22×D3—61no—
447C22×D3—61no—
448C22×D3—61no—
449C22×D3—61no—
450C22×D3—61no—
451C22×D3—61no—
452C22×D3#61112yescomplemented
453C3×D4—68no—
454C3×D4—188no—
455C2×C3×C4—32no—
456C2×C3×C4—61no—
457C2×C3×C4—61no—
458C2×C3×C4—92no—
459C2×C3×C4—181no—
460C2×C3×C4—181no—
461#67—28no—
462#67—68no—
463#67—188no—
464#67—188no—
465C2×Dic3—21no—
466C2×Dic3—21no—
467C2×Dic3—32no—
468C2×Dic3—61no—
469C2×Dic3—61no—
470C2×Dic3—92no—
471C2×Dic3—92no—
472C2×Dic3—182no—
473C2×Dic3—181no—
474C2×Dic3—181no—
475C2×Dic3—181no—
476C2×Dic3—181no—
477C2×Dic3—182no—
478C2×Dic3—181no—
479C2×Dic3—181no—
480C2×Dic3—181no—
481C2×Dic3—181no—
482C2×Dic3—181no—
483C2×Dic3—181no—
484C2×Dic3—361no—
485C2×Dic3—361no—
486C2×Dic3—361no—
487C2×Dic3—361no—
488C2×Dic3#61112yescomplemented
489C2×C32—42no—
490C2×C32#93711yescharacteristic
491C2×C32#93711yescharacteristic
492C2×C32#93811yescharacteristic
493C2×C32#93911yescharacteristic
494C2×C32#93911yescharacteristic
495C2×C32#94011yescharacteristic
496C2×C32#95311yescharacteristic
497C3×D3—42no—
498C3×D3—122no—
499C2×C9—21no—
500C2×C9—21no—
501C2×C9—21no—
502C2×C9—21no—
503C2×C9—21no—
504C2×C9—21no—
505C2×C9—21no—
506C2×C9—44no—
507C2×C9—42no—
508C2×C9—122no—
509C2×C9#93711yescharacteristic
510C2×C9#93711yescharacteristic
511C2×C9#93811yescharacteristic
512C2×C9#93911yescharacteristic
513C2×C9#93911yescharacteristic
514C2×C9#94011yescharacteristic
515C2×C9#95311yescharacteristic
516D9—42no—
517C24—31no—
518C24—91no—
519C24D3×D911yescharacteristic
520C2×D4—62no—
521C2×D4—62no—
522C2×D4—62no—
523C2×D4—182no—
524C2×D4—182no—
525C2×D4—182no—
526C2×D4—542no—
527C2×D4—542no—
528C2×D4—542no—
529C22×C4—31no—
530C22×C4—91no—
531C22×C4—271no—
532C22×C4—271no—
533C22⋊C4—542no—
534C22⋊C4—542no—
535C22⋊C4—542no—
536C22×C3—24no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—22no—
543C22×C3—21no—
544C22×C3—21no—
545C22×C3—21no—
546C22×C3—21no—
547C22×C3—21no—
548C22×C3—21no—
549C22×C3—21no—
550C22×C3—42no—
551C22×C3—42no—
552C22×C3—42no—
553C22×C3—42no—
554C22×C3—42no—
555C22×C3—42no—
556C22×C3—41no—
557C22×C3—41no—
558C22×C3—41no—
559C22×C3—41no—
560C22×C3—41no—
561C22×C3—41no—
562C22×C3—41no—
563C22×C3—41no—
564C22×C3—62no—
565C22×C3—62no—
566C22×C3—62no—
567C22×C3—121no—
568C22×C3—121no—
569C22×C3—121no—
570C22×C3—121no—
571C22×C3—182no—
572C22×C3—182no—
573C22×C3—182no—
574C22×C3—361no—
575C22×C3—361no—
576C22×C3—361no—
577C22×C3—361no—
578C22×C3D4×D911yescharacteristic
579C22×C3D4×D911yescharacteristic
580C22×C3D4×D911yescharacteristic
581C22×C3#369911yescharacteristic
582C22×C3C2×#61111yescharacteristic
583C22×C3C2×#61111yescharacteristic
584C22×C3C2×#61111yescharacteristic
585C22×C3#380511yescharacteristic
586C22×C3C2×#62511yescharacteristic
587C22×C3D3×#6711yescharacteristic
588C22×C3D3×#6711yescharacteristic
589C22×C3D3×#6711yescharacteristic
590C22×C3D3×#6711yescharacteristic
591C22×C3#381111yescharacteristic
592C2×D3—22no—
593C2×D3—22no—
594C2×D3—22no—
595C2×D3—41no—
596C2×D3—41no—
597C2×D3—41no—
598C2×D3—41no—
599C2×D3—62no—
600C2×D3—62no—
601C2×D3—62no—
602C2×D3—121no—
603C2×D3—121no—
604C2×D3—121no—
605C2×D3—121no—
606C3×C4—62no—
607C3×C4—182no—
608Dic3—22no—
609Dic3—62no—
610Dic3—182no—
611Dic3—182no—
612Dic3—362no—
613Dic3—362no—
614Dic3—361no—
615Dic3—361no—
616C32#522311yescharacteristic
617C9—21no—
618C9#522311yescharacteristic, complemented
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—32no—
626C23—61no—
627C23—61no—
628C23—61no—
629C23—61no—
630C23—61no—
631C23—61no—
632C23—92no—
633C23—181no—
634C23—181no—
635C23—181no—
636C23—181no—
637C23—181no—
638C23—181no—
639C23#619412yescomplemented
640C23C2×D3×D911yescharacteristic
641D4—68no—
642D4—188no—
643D4—548no—
644C2×C4—32no—
645C2×C4—61no—
646C2×C4—61no—
647C2×C4—92no—
648C2×C4—181no—
649C2×C4—181no—
650C2×C4—272no—
651C2×C4—541no—
652C2×C4—541no—
653C2×C4—541no—
654C2×C4—541no—
655C2×C4—541no—
656C2×C3—21no—
657C2×C3—21no—
658C2×C3—21no—
659C2×C3—21no—
660C2×C3—21no—
661C2×C3—21no—
662C2×C3—21no—
663C2×C3—44no—
664C2×C3—42no—
665C2×C3—42no—
666C2×C3—122no—
667C2×C3—362no—
668C2×C3#6349911yescharacteristic
669C2×C3#6349911yescharacteristic
670C2×C3#6350011yescharacteristic
671C2×C3#6350111yescharacteristic
672C2×C3#6350111yescharacteristic
673C2×C3#6350211yescharacteristic
674C2×C3#6351511yescharacteristic
675C2×C3#6397011yescharacteristic
676C2×C3#6397011yescharacteristic
677C2×C3#6397611yescharacteristic
678C2×C3#6397611yescharacteristic
679C2×C3#6397911yescharacteristic
680C2×C3#6398011yescharacteristic
681C2×C3#6398311yescharacteristic
682D3—42no—
683D3—122no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—62no—
692C22—62no—
693C22—62no—
694C22—121no—
695C22—121no—
696C22—121no—
697C22—121no—
698C22—182no—
699C22—182no—
700C22—182no—
701C22—361no—
702C22—361no—
703C22—361no—
704C22—361no—
705C22#8866311yescharacteristic
706C22C2×#619411yescharacteristic
707C22D3×#61111yescharacteristic
708C22D3×#61111yescharacteristic
709C22D9×#6711yescharacteristic
710C22D9×#6711yescharacteristic
711C22#8866811yescharacteristic
712C4—62no—
713C4—182no—
714C4—542no—
715C4—1081no—
716C3—21no—
717C3#1058890311yescharacteristic, complemented
718C3#1059172311yescharacteristic
719C2—42no—
720C2—122no—
721C2—362no—
722C2#1172127011yescharacteristic
723C2#1172128111yescharacteristic
724C2#1172128511yescharacteristic
725C2#1172128611yescharacteristic
726C2#1172128911yescharacteristic
727C2#1172129011yescharacteristic
728C2#1172129211yescharacteristic
subgroupG/H
centerC23C2×D3×D9
commutator, cosocleC23×C3×C9C23
FrattiniC23×C3C2×D32
FittingC24×C3×C9C22
socleC23×C32C22×D3
hypercenterC24D3×D9
hypocenterC3×C9#392
LCSG ▷ C23×C3×C9 ▷ C3×C9
UCSC1 ◁ C23 ◁ C24

Complements

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

NH ≅ G/Ntype
1. C22×C9×#67C2semidirect
2. C22×C3×#611C2semidirect
3. C22×#6194C2semidirect
4. C2×#88551C2semidirect
5. C2×(C2×D3)⋊Dic9C2semidirect
6. C2×(C2×D9)⋊Dic3C2semidirect
7. #11720331C2semidirect
37. C22×#611D3semidirect
50. C23×C3×C9D4semidirect
58. C22×D3×C9D4semidirect
65. C22×C3×D9D4semidirect
71. C2×C3⋊Dic9D4semidirect
76. C2×C9×Dic3D4semidirect
79. C2×C3×Dic9D4semidirect
162. C22×#67D9semidirect
230. C23×C9#67semidirect
238. C22×D9#67semidirect
259. C2×Dic9#67semidirect
400. C3×C9#392semidirect
435. C23×C3#611semidirect
452. C22×D3#611semidirect
488. C2×Dic3#611semidirect
618. C9#5223semidirect
639. C23#6194semidirect
717. C3#10588903semidirect

Maximal subgroups

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

subgroupindex
C22×C9×#672
C22×C3×#6112
C22×#61942
C2×#885512
C2×(C2×D3)⋊Dic92
C2×(C2×D9)⋊Dic32
#117203312
#105917233
#105889033