Finite Group Databasebeta

← #13147998

Subgroups — #13147998

Order 1728.

884 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#88663C211yesmaximal, characteristic
2C2×D9×Dic6C211yesmaximal, characteristic, complemented
3#11721724C211yesmaximal, characteristic, complemented
4C9×#885C211yesmaximal, characteristic, complemented
5C3×#63445C211yesmaximal, characteristic, complemented
6#11721269C211yesmaximal, characteristic, complemented
7#11721267C211yesmaximal, characteristic, complemented
8#11721263C211yesmaximal, characteristic, complemented
9#11721031C211yesmaximal, characteristic, complemented
10#11721026C211yesmaximal, characteristic, complemented
11#11721024C211yesmaximal, characteristic, complemented
12#11720989C211yesmaximal, characteristic, complemented
13#11720974C211yesmaximal, characteristic, complemented
14#11720970C211yesmaximal, characteristic, complemented
15#11720903C211yesmaximal, characteristic, complemented
16#10594057—31nomaximal
17#10589777—31nomaximal
18C22×C3⋊Dic9C2211yescharacteristic
19C2×#6226C2211yescharacteristic
20C2×C9×#67C2211yescharacteristic
21C2×C3×#611C2211yescharacteristic
22C2×C3×C4×D9C2211yescharacteristic
23C2×C9×Dic6C2211yescharacteristic
24C2×#6194C2211yescharacteristic
25#88663—24no—
26C2×D3×Dic9C2211yescharacteristic
27C2×Dic3×D9C2211yescharacteristic
28C2×Dic3×D9C2211yescharacteristic
29C2×#6189C2211yescharacteristic
30C2×#6189C2211yescharacteristic
31C2×#6189C2211yescharacteristic
32D9×Dic6—24no—
33C3×C9×C22⋊C4C2211yescharacteristic
34#88551C2211yescharacteristic
35C4⋊(C3⋊Dic9)C2211yescharacteristic
36#88534C2211yescharacteristic
37#88534C2211yescharacteristic
38C9×#217C2211yescharacteristic
39C3×#3676C2211yescharacteristic
40C9×(C2×D3)⋊C4C2211yescharacteristic
41C9×(C2×D3)⋊C4C2211yescharacteristic
42C3×(C2×D9)⋊C4C2211yescharacteristic
43C4×C9×Dic3C2211yescharacteristic
44C3×C4⋊Dic9C2211yescharacteristic
45C3×Dic9⋊C4C2211yescharacteristic
46(C2×D3)⋊Dic9C2211yescharacteristic
47(C2×D3)⋊Dic9C2211yescharacteristic
48(C2×D9)⋊Dic3C2211yescharacteristic
49Dic3⋊Dic9C2211yescharacteristic
50Dic3⋊Dic9C2211yescharacteristic
51#88442C2211yescharacteristic
52#88442C2211yescharacteristic
53Dic9⋊Dic3C2211yescharacteristic
54Dic3×Dic9C2211yescharacteristic
55C2×#3805—31no—
56C2×D3×Dic6—31no—
57#64087—31no—
58C3×#885D311yescharacteristic
59C3×#883—31no—
60#63982—31no—
61#63969—31no—
62#63959—31no—
63#63918—31no—
64#63905—31no—
65#63899—31no—
66#63896—31no—
67#63891—31no—
68#63877—31no—
69#63839—31no—
70C2×Q8×D9—31no—
71C2×#3699—31no—
72C9×#124—31no—
73#63506—31no—
74#63498—31no—
75#63445—31no—
76#63445—31no—
77#63445—31no—
78#63445D311yescharacteristic, complemented
79#63440—31no—
80#63440—31no—
81#63440—31no—
82#63440—31no—
83#63440—61no—
84#63434—31no—
85#63431—31no—
86C23×C3×C9C2311yescharacteristic
87C22×D3×C9C2311yescharacteristic
88C22×C3×D9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3×C4×C9C2311yescharacteristic
91C2×C3⋊Dic9—22no—
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C2×C3⋊Dic9C2311yescharacteristic
95C2×C3⋊Dic9C2311yescharacteristic
96#6226—22no—
97C9×#67—22no—
98C3×#611—22no—
99C2×C9×Dic3C2311yescharacteristic
100C2×C9×Dic3C2311yescharacteristic
101C2×C9×Dic3C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103C2×C3×Dic9C2311yescharacteristic
104C2×C3×Dic9C2311yescharacteristic
105C3×C4×D9—22no—
106C9×Dic6—22no—
107#6194—22no—
108D3×Dic9—22no—
109Dic3×D9—22no—
110Dic3×D9D414yes—
111#6189—22no—
112#6189—22no—
113#6189—22no—
114#5675—91no—
115#5648—91no—
116C22×C3⋊Dic3—31no—
117C2×#634—31no—
118C2×C3×#67—31no—
119C2×C3×#67C2×D311yescharacteristic
120C2×C3×C4×D3—31no—
121C2×C3×Dic6C2×D311yescharacteristic
122C2×#627—31no—
123C2×#627—31no—
124C2×#627—31no—
125C2×#625—31no—
126#3805—64no—
127C2×D3×Dic3—31no—
128C2×D3×Dic3—31no—
129C2×D3×Dic3—31no—
130D3×Dic6—64no—
131C32×C22⋊C4C2×D311yescharacteristic
132#3757—31no—
133C4⋊(C3⋊Dic3)—31no—
134#3750—31no—
135#3750—31no—
136C3×#217—31no—
137C3×#217C2×D311yescharacteristic
138C3×(C2×D3)⋊C4—31no—
139C3×(C2×D3)⋊C4C2×D311yescharacteristic
140C3×(C2×D3)⋊C4C2×D311yescharacteristic
141C3×C4⋊Dic3—31no—
142C3×Dic3⋊C4—31no—
143C3×C4×Dic3C2×D311yescharacteristic
144#3724—31no—
145#3724—31no—
146Dic3⋊Dic3—31no—
147Dic3⋊Dic3—31no—
148Dic3⋊Dic3—31no—
149(C2×D3)⋊Dic3—31no—
150(C2×D3)⋊Dic3—31no—
151(C2×D3)⋊Dic3—31no—
152Dic32—31no—
153C2×Q8×C9—31no—
154C2×D4×C9—31no—
155C2×#611—31no—
156C2×#611C2×D311yescharacteristic
157C22×Dic9—31no—
158C22×Dic9—31no—
159C22×Dic9—61no—
160Q8×D9—64no—
161#3699—64no—
162C2×C4×D9—31no—
163C2×C4×D9—31no—
164C2×C4×D9C2×D311yescharacteristic
165C2×Dic18—31no—
166C2×Dic18—31no—
167C2×Dic18—31no—
168C2×Dic18—31no—
169C2×Dic18—61no—
170C9×C22⋊C4—21no—
171C9×C22⋊C4—31no—
172C9×C22⋊C4—31no—
173C9×C22⋊C4—31no—
174C9×C22⋊C4C2×D311yescharacteristic
175C42×C9—31no—
176#3676—31no—
177#3676—31no—
178#3676—31no—
179#3676—61no—
180#3676C2×D311yescharacteristic
181(C2×D9)⋊C4—31no—
182(C2×D9)⋊C4C2×D311yescharacteristic
183C4⋊Dic9—31no—
184C4⋊Dic9—31no—
185C4⋊Dic9—31no—
186C4⋊Dic9—61no—
187C4⋊Dic9C2×D311yescharacteristic
188Dic9⋊C4—31no—
189Dic9⋊C4—31no—
190Dic9⋊C4—31no—
191Dic9⋊C4—31no—
192Dic9⋊C4—31no—
193Dic9⋊C4—61no—
194Dic9⋊C4—61no—
195Dic9⋊C4C2×D311yescharacteristic
196C4×Dic9—31no—
197C22×C3×C9—21no—
198C22×C3×C9—21no—
199C22×C3×C9—21no—
200C22×C3×C9C2411yescharacteristic
201C2×D3×C9—21no—
202C2×D3×C9—21no—
203C2×D3×C9—21no—
204C2×C3×D9—21no—
205C2×C3×D9—21no—
206C2×C3×D9C2×D412yes—
207C3×C4×C9—21no—
208C3×C4×C9—21no—
209C3⋊Dic9—21no—
210C3⋊Dic9—21no—
211C3⋊Dic9—21no—
212C3⋊Dic9C2×D412yes—
213C9×Dic3—21no—
214C9×Dic3—21no—
215C9×Dic3C2×D412yes—
216C3×Dic9—21no—
217C3×Dic9—21no—
218C3×Dic9—21no—
219C2×D3×Q8—91no—
220C2×#237—91no—
221C2×#237—91no—
222C22×Dic6—91no—
223C3×#124—31no—
224C3×#123—91no—
225#944—91no—
226#936—91no—
227#935—91no—
228#929—91no—
229#896—91no—
230#896—91no—
231#888—91no—
232#888—91no—
233#886—91no—
234#885—91no—
235#885D911yescharacteristic, complemented
236#883—31no—
237#883—91no—
238#883—91no—
239#883—91no—
240#878—91no—
241#878—91no—
242#878—91no—
243#878—91no—
244#878—91no—
245#878—91no—
246#878—181no—
247#877—91no—
248#872—91no—
249#869—91no—
250C23×C32C22×D311yescharacteristic
251C22×C3×D3—31no—
252C22×C3×D3C22×D311yescharacteristic
253C2×C32×C4C22×D311yescharacteristic
254C2×C32×C4C22×D311yescharacteristic
255C2×C3⋊Dic3—31no—
256C2×C3⋊Dic3—31no—
257C2×C3⋊Dic3—31no—
258C2×C3⋊Dic3—31no—
259C2×C3⋊Dic3—62no—
260#634—62no—
261C3×#67—22no—
262C3×#67—62no—
263C2×C3×Dic3—31no—
264C2×C3×Dic3—31no—
265C2×C3×Dic3—31no—
266C2×C3×Dic3C22×D311yescharacteristic
267C2×C3×Dic3C22×D311yescharacteristic
268C2×C3×Dic3C22×D311yescharacteristic
269C3×C4×D3—62no—
270C3×Dic6—22no—
271#627—62no—
272#627—62no—
273#627—62no—
274#625—62no—
275D3×Dic3—34no—
276D3×Dic3—62no—
277D3×Dic3—62no—
278C23×C9—21no—
279C23×C9—31no—
280C23×C9C22×D311yescharacteristic
281C22×D9C22×D311yescharacteristic
282Q8×C9—62no—
283D4×C9—62no—
284C2×C4×C9—21no—
285C2×C4×C9—21no—
286C2×C4×C9—31no—
287C2×C4×C9—31no—
288C2×C4×C9—31no—
289C2×C4×C9C22×D311yescharacteristic
290C2×C4×C9C22×D311yescharacteristic
291#611—22no—
292#611—62no—
293C2×Dic9—31no—
294C2×Dic9—31no—
295C2×Dic9—31no—
296C2×Dic9—31no—
297C2×Dic9—61no—
298C2×Dic9—61no—
299C2×Dic9—61no—
300C2×Dic9—61no—
301C2×Dic9—62no—
302C2×Dic9—62no—
303C2×Dic9—122no—
304C2×Dic9C22×D311yescharacteristic
305C2×Dic9C22×D311yescharacteristic
306C2×Dic9C22×D311yescharacteristic
307C4×D9—22no—
308C4×D9—34no—
309C4×D9—62no—
310Dic18—62no—
311Dic18—62no—
312Dic18—62no—
313Dic18—62no—
314Dic18—122no—
315#536—271noSylow
316C2×C3×C9—41no—
317C2×C3×C9C22×D411yescharacteristic
318C2×C3×C92−1+411yescharacteristic
319C2×C3×C92−1+411yescharacteristic
320D3×C9—41no—
321C3×D9—22no—
322C2×C3×Q8—31no—
323C2×C3×D4—31no—
324C2×C3×D4—91no—
325C22×C3×C4—91no—
326C2×#67—31no—
327C2×#67—91no—
328C2×#67—91no—
329C2×#67C2×D911yescharacteristic
330C22×Dic3—91no—
331C22×Dic3—91no—
332C22×Dic3—91no—
333C22×Dic3—91no—
334C22×Dic3—91no—
335C22×Dic3—181no—
336D3×Q8—184no—
337#237—184no—
338#237—184no—
339C2×C4×D3—31no—
340C2×C4×D3—91no—
341C2×C4×D3—91no—
342C2×C4×D3—91no—
343C2×Dic6—91no—
344C2×Dic6—91no—
345C2×Dic6—91no—
346C2×Dic6—91no—
347C2×Dic6—91no—
348C2×Dic6—91no—
349C2×Dic6—91no—
350C2×Dic6—91no—
351C2×Dic6—181no—
352C2×Dic6—184no—
353C2×Dic6C2×D911yescharacteristic
354C3×C4⋊C4—91no—
355C3×C4⋊C4—91no—
356C3×C22⋊C4—21no—
357C3×C22⋊C4—31no—
358C3×C22⋊C4—31no—
359C3×C22⋊C4—31no—
360C3×C22⋊C4—91no—
361C3×C22⋊C4—91no—
362C3×C22⋊C4C2×D911yescharacteristic
363C3×C22⋊C4D3211yescharacteristic
364C3×C42—31no—
365#217—31no—
366#217—91no—
367#217—91no—
368#217—91no—
369#217—91no—
370#217—91no—
371#217—181no—
372#217C2×D911yescharacteristic
373(C2×D3)⋊C4—31no—
374(C2×D3)⋊C4—91no—
375(C2×D3)⋊C4—91no—
376(C2×D3)⋊C4—91no—
377(C2×D3)⋊C4C2×D911yescharacteristic
378(C2×D3)⋊C4C2×D911yescharacteristic
379C4⋊Dic3—31no—
380C4⋊Dic3—91no—
381C4⋊Dic3—91no—
382C4⋊Dic3—91no—
383C4⋊Dic3—91no—
384C4⋊Dic3—91no—
385C4⋊Dic3—181no—
386Dic3⋊C4—31no—
387Dic3⋊C4—91no—
388Dic3⋊C4—91no—
389Dic3⋊C4—91no—
390Dic3⋊C4—91no—
391Dic3⋊C4—91no—
392Dic3⋊C4—91no—
393Dic3⋊C4—91no—
394Dic3⋊C4—91no—
395Dic3⋊C4—91no—
396Dic3⋊C4—91no—
397Dic3⋊C4—91no—
398Dic3⋊C4—181no—
399Dic3⋊C4—181no—
400C4×Dic3—91no—
401C4×Dic3—91no—
402C4×Dic3C2×D911yescharacteristic
403C22×C32—21no—
404C22×C32—21no—
405C22×C32—21no—
406C22×C32C23×D311yescharacteristic
407C2×C3×D3—21no—
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—32no—
411C2×C3×D3—61no—
412C2×C3×D3—61no—
413C32×C4—21no—
414C32×C4—21no—
415C3⋊Dic3—32no—
416C3⋊Dic3—61no—
417C3⋊Dic3—61no—
418C3⋊Dic3—61no—
419C3×Dic3—21no—
420C3×Dic3—21no—
421C3×Dic3—61no—
422C3×Dic3—61no—
423C3×Dic3—61no—
424C3×Dic3D3×D412yes—
425C22×C9—22no—
426C22×C9—21no—
427C22×C9—21no—
428C22×C9—21no—
429C22×C9—21no—
430C22×C9—41no—
431C22×C9—41no—
432C22×C9—61no—
433C22×C9—61no—
434C22×C9—61no—
435C22×C9C23×D311yescharacteristic
436C2×D9—21no—
437C2×D9—21no—
438C2×D9D3×D412yes—
439C4×C9—21no—
440C4×C9—21no—
441C4×C9—32no—
442C4×C9—41no—
443C4×C9—41no—
444C4×C9—61no—
445C4×C9—61no—
446Dic9—21no—
447Dic9—21no—
448Dic9—21no—
449Dic9—32no—
450Dic9—62no—
451Dic9—61no—
452Dic9—61no—
453Dic9—61no—
454Dic9—121no—
455Dic9—121no—
456Dic9—121no—
457C2×#41—271no—
458C22×Q8—271no—
459C4⋊Q8—271no—
460C4⋊Q8—271no—
461#124—31no—
462#124—271no—
463#123—91no—
464#123—271no—
465#123—271no—
466#123—271no—
467C22⋊Q8—271no—
468C22⋊Q8—271no—
469C22⋊Q8—271no—
470C22⋊Q8—271no—
471#117—271no—
472C3×C9#53611yescharacteristic, complemented, Sylow
473C23×C3—21no—
474C23×C3—31no—
475C23×C3—91no—
476C23×C3C22×D911yescharacteristic
477C23×C3C2×D3211yescharacteristic
478C22×D3—31no—
479C22×D3C22×D911yescharacteristic
480C3×Q8—62no—
481C3×D4—62no—
482C3×D4—182no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—91no—
489C2×C3×C4—91no—
490C2×C3×C4—91no—
491C2×C3×C4—182no—
492C2×C3×C4C22×D911yescharacteristic
493C2×C3×C4C22×D911yescharacteristic
494C2×C3×C4C2×D3211yescharacteristic
495C2×C3×C4C2×D3211yescharacteristic
496#67—22no—
497#67—62no—
498#67—182no—
499#67—182no—
500C2×Dic3—31no—
501C2×Dic3—31no—
502C2×Dic3—31no—
503C2×Dic3—91no—
504C2×Dic3—91no—
505C2×Dic3—94no—
506C2×Dic3—91no—
507C2×Dic3—91no—
508C2×Dic3—91no—
509C2×Dic3—91no—
510C2×Dic3—91no—
511C2×Dic3—91no—
512C2×Dic3—181no—
513C2×Dic3—181no—
514C2×Dic3—181no—
515C2×Dic3—181no—
516C2×Dic3—182no—
517C2×Dic3—182no—
518C2×Dic3—182no—
519C2×Dic3—182no—
520C2×Dic3—362no—
521C2×Dic3C22×D911yescharacteristic
522C2×Dic3C22×D911yescharacteristic
523C2×Dic3C22×D911yescharacteristic
524C4×D3—62no—
525C4×D3—94no—
526C4×D3—182no—
527C4×D3—182no—
528Dic6—22no—
529Dic6—182no—
530Dic6—182no—
531Dic6—182no—
532Dic6—182no—
533Dic6—182no—
534Dic6—182no—
535Dic6—182no—
536Dic6—182no—
537Dic6—362no—
538C2×C32—41no—
539C2×C32C2×D3×D411yescharacteristic
540C2×C32#101011yescharacteristic
541C2×C32#101011yescharacteristic
542C3×D3—41no—
543C3×D3—62no—
544C2×C9—21no—
545C2×C9—21no—
546C2×C9—21no—
547C2×C9—42no—
548C2×C9—41no—
549C2×C9—121no—
550C2×C9C2×D3×D411yescharacteristic
551C2×C9#101011yescharacteristic
552C2×C9#101011yescharacteristic
553D9—22no—
554#41—544no—
555C2×Q8—31no—
556C2×Q8—271no—
557C2×Q8—271no—
558C2×Q8—271no—
559C2×Q8—271no—
560C2×Q8—544no—
561C2×D4—31no—
562C2×D4—91no—
563C2×D4—271no—
564C22×C4—91no—
565C22×C4—271no—
566C22×C4—271no—
567C22×C4—271no—
568C22×C4—271no—
569C4⋊C4—91no—
570C4⋊C4—91no—
571C4⋊C4—271no—
572C4⋊C4—271no—
573C4⋊C4—271no—
574C4⋊C4—271no—
575C4⋊C4—271no—
576C4⋊C4—271no—
577C4⋊C4—271no—
578C4⋊C4—271no—
579C22⋊C4—31no—
580C22⋊C4—31no—
581C22⋊C4—31no—
582C22⋊C4—91no—
583C22⋊C4—91no—
584C22⋊C4—271no—
585C22⋊C4—271no—
586C22⋊C4—271no—
587C22⋊C4—271no—
588C22⋊C4D3×D911yescharacteristic
589C42—31no—
590C42—271no—
591C22×C3—22no—
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—21no—
595C22×C3—21no—
596C22×C3—21no—
597C22×C3—21no—
598C22×C3—21no—
599C22×C3—41no—
600C22×C3—41no—
601C22×C3—61no—
602C22×C3—61no—
603C22×C3—61no—
604C22×C3—92no—
605C22×C3—181no—
606C22×C3—181no—
607C22×C3C23×D911yescharacteristic
608C22×C3C22×D3211yescharacteristic
609C2×D3—21no—
610C2×D3—21no—
611C2×D3—21no—
612C2×D3—32no—
613C2×D3—61no—
614C2×D3—61no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—32no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—61no—
623C3×C4—61no—
624C3×C4—181no—
625C3×C4—181no—
626C3×C4—181no—
627Dic3—21no—
628Dic3—21no—
629Dic3—61no—
630Dic3—61no—
631Dic3—61no—
632Dic3—92no—
633Dic3—92no—
634Dic3—182no—
635Dic3—181no—
636Dic3—181no—
637Dic3—181no—
638Dic3—181no—
639Dic3—181no—
640Dic3—181no—
641Dic3—361no—
642Dic3—361no—
643Dic3—361no—
644Dic3D4×D912yes—
645C32#567511yescharacteristic
646C9—21no—
647C9#564811yescharacteristic, complemented
648C23—31no—
649C23—91no—
650C23C2×D3×D911yescharacteristic
651Q8—62no—
652Q8—542no—
653Q8—542no—
654Q8—542no—
655Q8—542no—
656D4—62no—
657D4—182no—
658D4—542no—
659C2×C4—31no—
660C2×C4—31no—
661C2×C4—31no—
662C2×C4—91no—
663C2×C4—91no—
664C2×C4—91no—
665C2×C4—182no—
666C2×C4—274no—
667C2×C4—271no—
668C2×C4—271no—
669C2×C4—271no—
670C2×C4—271no—
671C2×C4—542no—
672C2×C4—542no—
673C2×C4—542no—
674C2×C4C2×D3×D911yescharacteristic
675C2×C4C2×D3×D911yescharacteristic
676C2×C3—21no—
677C2×C3—21no—
678C2×C3—21no—
679C2×C3—42no—
680C2×C3—41no—
681C2×C3—41no—
682C2×C3—121no—
683C2×C3—182no—
684C2×C3C2×D4×D911yescharacteristic
685C2×C3#6371611yescharacteristic
686C2×C3#6371611yescharacteristic
687C2×C3#6429811yescharacteristic
688C2×C3#6430911yescharacteristic
689C2×C3D32×D411yescharacteristic
690D3—41no—
691D3—62no—
692C22—21no—
693C22—21no—
694C22—21no—
695C22—61no—
696C22—61no—
697C22—61no—
698C22—92no—
699C22—181no—
700C22—181no—
701C22C22×D3×D911yescharacteristic
702C4—21no—
703C4—21no—
704C4—32no—
705C4—61no—
706C4—61no—
707C4—181no—
708C4—181no—
709C4—181no—
710C4—272no—
711C4—541no—
712C4—541no—
713C4—541no—
714C3—21no—
715C3#1058977711yescharacteristic, complemented
716C3#1059405711yescharacteristic
717C2—41no—
718C2—121no—
719C2—182no—
720C2#1172246511yescharacteristic
721C2#1172249411yescharacteristic
722C2D3×D4×D911yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
socleC22×C32C23×D3
prime radicalC2×#88663C2
hypercenterC22⋊C4D3×D9
hypocenterC3×C9#536
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×D9×Dic6C2semidirect
3. #11721724C2semidirect
4. C9×#885C2semidirect
5. C3×#63445C2semidirect
6. #11721269C2semidirect
7. #11721267C2semidirect
8. #11721263C2semidirect
9. #11721031C2semidirect
10. #11721026C2semidirect
11. #11721024C2semidirect
12. #11720989C2semidirect
13. #11720974C2semidirect
14. #11720970C2semidirect
15. #11720903C2semidirect
78. #63445D3semidirect
235. #885D9semidirect
472. C3×C9#536semidirect
647. C9#5648semidirect
715. C3#10589777semidirect

Maximal subgroups

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

subgroupindex
C2×#886632
C2×D9×Dic62
#117217242
C9×#8852
C3×#634452
#117212692
#117212672
#117212632
#117210312
#117210262
#117210242
#117209892
#117209742
#117209702
#117209032
#105940573
#105897773