Finite Group Databasebeta

← #13150568

Subgroups — #13150568

Order 1728.

1514 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C3⋊D9C211yesmaximal, characteristic, complemented
2C2×#88668C212yesmaximal, complemented
3C2×#88646C211yesmaximal, characteristic, complemented
4C9×#930C211yesmaximal, characteristic, complemented
5C3×#63492C211yesmaximal, characteristic, complemented
6#11721290C212yesmaximal, complemented
7#11721048C212yesmaximal, complemented
8#11721045C211yesmaximal, characteristic, complemented
9#11721041C212yesmaximal, complemented
10#11721007C211yesmaximal, characteristic, complemented
11#11721000C211yesmaximal, characteristic, complemented
12#10595081—31nomaximal
13D9×#121—31nomaximal
14C23×C3⋊D9C2211yescharacteristic
15C22×D3×D9C2212yes—
16C22×C3×C4×C9C2211yescharacteristic, complemented
17C22×C3⋊Dic9C2211yescharacteristic, complemented
18C2×C4×C3⋊D9—24no—
19C2×C4×C3⋊D9C2211yescharacteristic
20C2×C4×C3⋊D9C2211yescharacteristic
21C2×C4×C3⋊D9C2211yescharacteristic, complemented
22C2×C4×C3⋊D9C2211yescharacteristic, complemented
23C2×C9×#67C2212yescomplemented
24C2×C3×#611C2212yescomplemented
25C2×C9×D12C2211yescharacteristic, complemented
26C2×C3×D36C2211yescharacteristic, complemented
27#88668—28no—
28C2×#6195C2212yescomplemented
29C2×#6194C2212yescomplemented
30C2×#6192C2212yescomplemented
31C2×(C3⋊D9)⋊C4C2212yes—
32#88646—24no—
33C9×(C2×D3)⋊C4C2212yescomplemented
34C3×(C2×D9)⋊C4C2212yescomplemented
35C9×C4⋊Dic3C2211yescharacteristic, complemented
36C3×C4⋊Dic9C2211yescharacteristic, complemented
37(C2×D3)⋊Dic9C2212yescomplemented
38(C2×D9)⋊Dic3C2212yescomplemented
39#88442C2212yescomplemented
40C22×C4×C3⋊D3—31no—
41C2×#3811—32no—
42C2×#3802—31no—
43C3×#930—31no—
44C3×#930D311yescharacteristic
45#63980—32no—
46#63921—32no—
47#63916—31no—
48#63916—31no—
49#63912—32no—
50#63900—31no—
51C2×D4×D9—32no—
52C2×D4×D9—31no—
53C22×C4×D9—31no—
54C22×C4×D9—61no—
55C9×#121—31no—
56#63501—32no—
57#63500—31no—
58#63492D311yescharacteristic, complemented
59#63457—31no—
60C4⋊C4×D9—31no—
61#63446—32no—
62C22⋊C4×D9—32no—
63C23×C3×C9C2311yescharacteristic
64C22×C3⋊D9—22no—
65C22×C3⋊D9—22no—
66C22×C3⋊D9D414yescomplemented
67C22×C3⋊D9C2311yescharacteristic
68C22×C3⋊D9C2311yescharacteristic
69C22×D3×C9C2312yes—
70C22×C3×D9C2312yes—
71C2×D3×D9—24no—
72C2×D3×D9—24no—
73C2×D3×D9—24no—
74C2×C3×C4×C9—22no—
75C2×C3×C4×C9C2311yescharacteristic
76C2×C3×C4×C9C2311yescharacteristic
77C2×C3⋊Dic9—22no—
78C2×C3⋊Dic9C2311yescharacteristic
79C2×C3⋊Dic9C2311yescharacteristic
80C4×C3⋊D9—22no—
81C4×C3⋊D9—22no—
82C4×C3⋊D9—22no—
83C4×C3⋊D9D414yescomplemented
84C9×#67—24no—
85C3×#611—24no—
86C2×C9×Dic3C2312yes—
87C2×C3×Dic9C2312yes—
88C9×D12—22no—
89C3×D36—22no—
90#6195—24no—
91#6194—24no—
92#6192—24no—
93(C3⋊D9)⋊C4—24no—
94D3×#121—91no—
95D3×#121—91no—
96C23×C3⋊D3—31no—
97C22×D32—32no—
98C22×C32×C4C2×D311yescharacteristic
99C22×C3⋊Dic3—31no—
100C2×C4×C3⋊D3—31no—
101C2×C4×C3⋊D3—31no—
102C2×C4×C3⋊D3—31no—
103C2×C4×C3⋊D3—31no—
104C2×C4×C3⋊D3—64no—
105C2×C3×#67—32no—
106C2×C3×#67C2×D312yes—
107C2×C3×D12—31no—
108C2×C3×D12C2×D311yescharacteristic
109#3811—68no—
110C2×#626—32no—
111C2×#626—32no—
112C2×#625—32no—
113C2×#624—32no—
114#3802—64no—
115C23×D9—31no—
116C23×D9—32no—
117C23×D9—61no—
118C3×(C2×D3)⋊C4—32no—
119C3×(C2×D3)⋊C4C2×D312yes—
120C3×C4⋊Dic3—31no—
121C3×C4⋊Dic3C2×D311yescharacteristic
122#3724—32no—
123(C2×D3)⋊Dic3—32no—
124(C2×D3)⋊Dic3—32no—
125C2×D4×C9—32no—
126C2×D4×C9—31no—
127C22×C4×C9—21no—
128C22×C4×C9C2×D311yescharacteristic, complemented
129C2×#611—32no—
130C2×#611—32no—
131C2×#611C2×D312yescomplemented
132C22×Dic9—31no—
133C22×Dic9—61no—
134D4×D9—64no—
135D4×D9—68no—
136C2×D36—32no—
137C2×D36C2×D311yescharacteristic, complemented
138C2×C4×D9—31no—
139C2×C4×D9—31no—
140C2×C4×D9—31no—
141C2×C4×D9—31no—
142C2×C4×D9—32no—
143C2×C4×D9—64no—
144C2×C4×D9—61no—
145C2×C4×D9—61no—
146C2×C4×D9—61no—
147C2×C4×D9—61no—
148C2×C4×D9—68no—
149C9×C4⋊C4—31no—
150C9×C22⋊C4—32no—
151#3676—32no—
152(C2×D9)⋊C4—32no—
153(C2×D9)⋊C4C2×D312yescomplemented
154C4⋊Dic9C2×D311yescharacteristic, complemented
155Dic9⋊C4—32no—
156C22×C3×C9—21no—
157C22×C3×C9—21no—
158C22×C3×C9C2×D412yescomplemented
159C22×C3×C9C2411yescharacteristic
160C2×C3⋊D9—21no—
161C2×C3⋊D9—21no—
162C2×C3⋊D9—28no—
163C2×C3⋊D9C2×D412yes—
164C2×C3⋊D9C2×D412yes—
165C2×C3⋊D9C2×D412yescomplemented
166C2×C3⋊D9#4112yes—
167C2×D3×C9—22no—
168C2×D3×C9—22no—
169C2×D3×C9—22no—
170C2×C3×D9—22no—
171C2×C3×D9—22no—
172C2×C3×D9—22no—
173D3×D9—48no—
174C3×C4×C9—21no—
175C3×C4×C9C2×D412yescomplemented
176C3⋊Dic9—21no—
177C3⋊Dic9C2×D412yescomplemented
178C9×Dic3—22no—
179C3×Dic9—22no—
180C2×D3×D4—91no—
181C2×D3×D4—92no—
182C2×D3×D4—92no—
183C2×D3×D4—91no—
184C22×C4×D3—91no—
185C22×C4×D3—91no—
186C22×C4×D3—181no—
187C3×#121—31no—
188C3×#121—91no—
189#939—92no—
190#939—92no—
191#938—91no—
192#938—91no—
193#930—31no—
194#930D911yescharacteristic, complemented
195#895—91no—
196#895—91no—
197D3×C4⋊C4—91no—
198D3×C4⋊C4—91no—
199#884—92no—
200#884—92no—
201D3×C22⋊C4—92no—
202D3×C22⋊C4—92no—
203C23×C32C22×D311yescharacteristic
204C22×C3⋊D3—31no—
205C22×C3⋊D3—34no—
206C22×C3⋊D3—31no—
207C22×C3⋊D3—62no—
208C22×C3⋊D3—62no—
209C22×C3×D3—32no—
210C22×C3×D3C22×D312yes—
211C2×D32—64no—
212C2×D32—64no—
213C2×D32—64no—
214C2×C32×C4—22no—
215C2×C32×C4C22×D311yescharacteristic
216C2×C32×C4C22×D311yescharacteristic
217C2×C3⋊Dic3—31no—
218C2×C3⋊Dic3—31no—
219C2×C3⋊Dic3—62no—
220C4×C3⋊D3—34no—
221C4×C3⋊D3—62no—
222C4×C3⋊D3—62no—
223C4×C3⋊D3—62no—
224C3×#67—24no—
225C3×#67—64no—
226C2×C3×Dic3—32no—
227C2×C3×Dic3C22×D312yes—
228C3×D12—22no—
229C3×D12—62no—
230#626—64no—
231#626—64no—
232#625—64no—
233#624—64no—
234C23×C9—21no—
235C23×C9—32no—
236C23×C9C22×D311yescharacteristic
237C22×D9—31no—
238C22×D9—34no—
239C22×D9—31no—
240C22×D9—61no—
241C22×D9—61no—
242C22×D9—64no—
243C22×D9—64no—
244C22×D9—64no—
245C22×D9—64no—
246C22×D9—62no—
247C22×D9—62no—
248C22×D9—64no—
249C22×D9—64no—
250C22×D9C22×D312yes—
251D4×C9—64no—
252D4×C9—62no—
253C2×C4×C9—24no—
254C2×C4×C9—22no—
255C2×C4×C9—21no—
256C2×C4×C9—21no—
257C2×C4×C9—32no—
258C2×C4×C9C22×D311yescharacteristic
259C2×C4×C9C22×D311yescharacteristic
260#611—24no—
261#611—64no—
262#611—64no—
263C2×Dic9—31no—
264C2×Dic9—31no—
265C2×Dic9—61no—
266C2×Dic9—61no—
267C2×Dic9—62no—
268C2×Dic9—64no—
269C2×Dic9C22×D312yes—
270D36—22no—
271D36—64no—
272C4×D9—34no—
273C4×D9—64no—
274C4×D9—64no—
275C4×D9—62no—
276C4×D9—62no—
277C4×D9—64no—
278C4×D9—64no—
279C4×D9—64no—
280C4×D9—62no—
281C2×#121—271noSylow
282C2×C3×C9—22no—
283C2×C3×C9C22×D411yescharacteristic
284C2×C3×C9C22×D411yescharacteristic
285C2×C3×C9C2×#4111yescharacteristic
286C3⋊D9—22no—
287C3⋊D9#12114yescomplemented
288D3×C9—42no—
289C3×D9—42no—
290C23×D3—92no—
291C23×D3—91no—
292C23×D3—91no—
293C23×D3—92no—
294C23×D3—181no—
295C2×C3×D4—32no—
296C2×C3×D4—31no—
297C2×C3×D4—92no—
298C2×C3×D4—91no—
299C22×C3×C4—21no—
300C22×C3×C4C2×D911yescharacteristic, complemented
301C22×C3×C4D3211yescharacteristic
302C2×#67—32no—
303C2×#67—92no—
304C2×#67—92no—
305C2×#67—92no—
306C2×#67—92no—
307C2×#67C2×D912yescomplemented
308C22×Dic3—91no—
309C22×Dic3—91no—
310C22×Dic3—181no—
311D3×D4—184no—
312D3×D4—184no—
313D3×D4—188no—
314D3×D4—188no—
315C2×D12—31no—
316C2×D12—92no—
317C2×D12—92no—
318C2×D12C2×D911yescharacteristic, complemented
319C2×C4×D3—91no—
320C2×C4×D3—91no—
321C2×C4×D3—92no—
322C2×C4×D3—91no—
323C2×C4×D3—91no—
324C2×C4×D3—91no—
325C2×C4×D3—91no—
326C2×C4×D3—91no—
327C2×C4×D3—91no—
328C2×C4×D3—92no—
329C2×C4×D3—181no—
330C2×C4×D3—181no—
331C2×C4×D3—181no—
332C2×C4×D3—181no—
333C2×C4×D3—184no—
334C2×C4×D3—184no—
335C2×C4×D3—188no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—91no—
338C3×C22⋊C4—32no—
339C3×C22⋊C4—92no—
340#217—92no—
341#217—92no—
342(C2×D3)⋊C4—32no—
343(C2×D3)⋊C4—92no—
344(C2×D3)⋊C4—92no—
345(C2×D3)⋊C4C2×D912yescomplemented
346C4⋊Dic3—31no—
347C4⋊Dic3C2×D911yescharacteristic, complemented
348Dic3⋊C4—92no—
349Dic3⋊C4—92no—
350C22×C32—21no—
351C22×C32—21no—
352C22×C32D3×D412yes—
353C22×C32C23×D311yescharacteristic
354C2×C3⋊D3—32no—
355C2×C3⋊D3—32no—
356C2×C3⋊D3—32no—
357C2×C3⋊D3—32no—
358C2×C3⋊D3—68no—
359C2×C3⋊D3—61no—
360C2×C3⋊D3—61no—
361C2×C3×D3—22no—
362C2×C3×D3—22no—
363C2×C3×D3—22no—
364C2×C3×D3—62no—
365C2×C3×D3—62no—
366C2×C3×D3—62no—
367D32—128no—
368C32×C4—21no—
369C32×C4D3×D412yes—
370C3⋊Dic3—32no—
371C3⋊Dic3—61no—
372C3×Dic3—22no—
373C3×Dic3—62no—
374C22×C9—22no—
375C22×C9—22no—
376C22×C9—21no—
377C22×C9—21no—
378C22×C9—21no—
379C22×C9—22no—
380C22×C9—62no—
381C22×C9—62no—
382C22×C9—62no—
383C22×C9D3×D412yescomplemented
384C22×C9C23×D311yescharacteristic
385C2×D9—22no—
386C2×D9—22no—
387C2×D9—22no—
388C2×D9—32no—
389C2×D9—32no—
390C2×D9—32no—
391C2×D9—32no—
392C2×D9—62no—
393C2×D9—62no—
394C2×D9—62no—
395C2×D9—62no—
396C2×D9—68no—
397C2×D9—62no—
398C2×D9—616no—
399C2×D9—62no—
400C2×D9—61no—
401C2×D9—61no—
402C2×D9—128no—
403C4×C9—22no—
404C4×C9—21no—
405C4×C9—22no—
406C4×C9—62no—
407C4×C9D3×D412yescomplemented
408Dic9—22no—
409Dic9—32no—
410Dic9—62no—
411Dic9—62no—
412Dic9—61no—
413C22×D4—272no—
414C22×D4—271no—
415C23×C4—271no—
416#121—31no—
417#121—91no—
418#121—272no—
419#121—271no—
420#121—271no—
421#121—272no—
422C2×C4⋊C4—271no—
423C2×C22⋊C4—272no—
424C3×C9C2×#12111yescharacteristic, complemented, Sylow
425C23×C3—21no—
426C23×C3—32no—
427C23×C3—92no—
428C23×C3C22×D911yescharacteristic
429C23×C3C2×D3211yescharacteristic
430C22×D3—32no—
431C22×D3—91no—
432C22×D3—91no—
433C22×D3—91no—
434C22×D3—94no—
435C22×D3—91no—
436C22×D3—94no—
437C22×D3—181no—
438C22×D3—181no—
439C22×D3—184no—
440C22×D3—184no—
441C22×D3—184no—
442C22×D3—184no—
443C22×D3—184no—
444C22×D3—184no—
445C22×D3—184no—
446C22×D3—182no—
447C22×D3—182no—
448C22×D3—182no—
449C22×D3—182no—
450C22×D3—184no—
451C22×D3—184no—
452C22×D3C22×D912yes—
453C3×D4—64no—
454C3×D4—62no—
455C3×D4—184no—
456C3×D4—182no—
457C2×C3×C4—24no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—32no—
463C2×C3×C4—92no—
464C2×C3×C4C22×D911yescharacteristic
465C2×C3×C4C22×D911yescharacteristic
466C2×C3×C4C2×D3211yescharacteristic
467C2×C3×C4C2×D3211yescharacteristic
468#67—24no—
469#67—64no—
470#67—184no—
471#67—184no—
472#67—184no—
473#67—184no—
474C2×Dic3—32no—
475C2×Dic3—91no—
476C2×Dic3—91no—
477C2×Dic3—91no—
478C2×Dic3—91no—
479C2×Dic3—181no—
480C2×Dic3—181no—
481C2×Dic3—182no—
482C2×Dic3—182no—
483C2×Dic3—184no—
484C2×Dic3C22×D912yes—
485D12—22no—
486D12—62no—
487D12—184no—
488D12—184no—
489C4×D3—94no—
490C4×D3—94no—
491C4×D3—184no—
492C4×D3—184no—
493C4×D3—184no—
494C4×D3—182no—
495C4×D3—182no—
496C4×D3—182no—
497C4×D3—182no—
498C4×D3—184no—
499C4×D3—184no—
500C4×D3—184no—
501C4×D3—182no—
502C4×D3—182no—
503C2×C32—22no—
504C2×C32C2×D3×D411yescharacteristic
505C2×C32C2×D3×D411yescharacteristic
506C2×C32D3×#4111yescharacteristic
507C3⋊D3—34no—
508C3⋊D3—62no—
509C3×D3—42no—
510C3×D3—122no—
511C2×C9—24no—
512C2×C9—22no—
513C2×C9—21no—
514C2×C9—21no—
515C2×C9—21no—
516C2×C9—122no—
517C2×C9C2×D3×D411yescharacteristic
518C2×C9C2×D3×D411yescharacteristic
519C2×C9D3×#4111yescharacteristic
520D9—34no—
521D9—42no—
522D9—64no—
523D9—64no—
524D9—62no—
525C24—272no—
526C24—271no—
527C2×D4—32no—
528C2×D4—31no—
529C2×D4—92no—
530C2×D4—91no—
531C2×D4—272no—
532C2×D4—272no—
533C2×D4—272no—
534C2×D4—544no—
535C2×D4—548no—
536C22×C4—272no—
537C22×C4—271no—
538C22×C4—271no—
539C22×C4—271no—
540C22×C4—271no—
541C22×C4—271no—
542C22×C4—544no—
543C22×C4D3×D911yescharacteristic, complemented
544C4⋊C4—31no—
545C4⋊C4—91no—
546C4⋊C4—272no—
547C22⋊C4—32no—
548C22⋊C4—92no—
549C22⋊C4—272no—
550C22⋊C4—272no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—21no—
554C22×C3—21no—
555C22×C3—21no—
556C22×C3—21no—
557C22×C3—21no—
558C22×C3—22no—
559C22×C3—62no—
560C22×C3—62no—
561C22×C3—62no—
562C22×C3—182no—
563C22×C3—182no—
564C22×C3—182no—
565C22×C3D4×D912yescomplemented
566C22×C3C23×D911yescharacteristic
567C22×C3#380212yes—
568C22×C3C22×D3211yescharacteristic
569C2×D3—22no—
570C2×D3—22no—
571C2×D3—22no—
572C2×D3—62no—
573C2×D3—62no—
574C2×D3—62no—
575C2×D3—92no—
576C2×D3—92no—
577C2×D3—92no—
578C2×D3—92no—
579C2×D3—92no—
580C2×D3—92no—
581C2×D3—92no—
582C2×D3—92no—
583C2×D3—182no—
584C2×D3—182no—
585C2×D3—182no—
586C2×D3—182no—
587C2×D3—188no—
588C2×D3—188no—
589C2×D3—182no—
590C2×D3—1816no—
591C2×D3—182no—
592C2×D3—181no—
593C2×D3—181no—
594C2×D3—181no—
595C2×D3—181no—
596C2×D3—368no—
597C2×D3—368no—
598C3×C4—22no—
599C3×C4—21no—
600C3×C4—21no—
601C3×C4—22no—
602C3×C4—62no—
603C3×C4—182no—
604C3×C4D4×D912yescomplemented
605C3×C4#381112yes—
606Dic3—22no—
607Dic3—62no—
608Dic3—92no—
609Dic3—92no—
610Dic3—182no—
611Dic3—182no—
612Dic3—181no—
613Dic3—181no—
614C32D3×#12111yescharacteristic
615C9—21no—
616C9D3×#12111yescharacteristic, complemented
617C23—32no—
618C23—92no—
619C23—271no—
620C23—271no—
621C23—274no—
622C23—542no—
623C23—542no—
624C23—544no—
625C23—544no—
626C23—544no—
627C23C2×D3×D911yescharacteristic
628D4—64no—
629D4—62no—
630D4—184no—
631D4—182no—
632D4—544no—
633D4—544no—
634D4—544no—
635C2×C4—22no—
636C2×C4—32no—
637C2×C4—92no—
638C2×C4—271no—
639C2×C4—274no—
640C2×C4—271no—
641C2×C4—542no—
642C2×C4—542no—
643C2×C4—544no—
644C2×C4—542no—
645C2×C4—542no—
646C2×C4C2×D3×D911yescharacteristic
647C2×C4C2×D3×D911yescharacteristic
648C2×C3—24no—
649C2×C3—22no—
650C2×C3—22no—
651C2×C3—21no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—122no—
655C2×C3—362no—
656C2×C3C2×D4×D911yescharacteristic
657C2×C3C2×D4×D911yescharacteristic
658C2×C3#41×D911yescharacteristic
659C2×C3C2×#380211yescharacteristic
660C2×C3#6430611yescharacteristic
661C2×C3C2×#381111yescharacteristic
662D3—42no—
663D3—94no—
664D3—94no—
665D3—122no—
666D3—184no—
667D3—184no—
668D3—182no—
669D3—182no—
670C22—21no—
671C22—21no—
672C22—62no—
673C22—62no—
674C22—62no—
675C22—182no—
676C22—182no—
677C22—182no—
678C22—272no—
679C22—272no—
680C22—272no—
681C22—272no—
682C22—548no—
683C22—541no—
684C22—541no—
685C22—1088no—
686C22#8864612yescomplemented
687C22C22×D3×D911yescharacteristic
688C4—21no—
689C4—62no—
690C4—182no—
691C4—272no—
692C4—541no—
693C4#8866812yescomplemented
694C3—21no—
695C3D9×#12111yescharacteristic, complemented
696C3#1059508111yescharacteristic
697C2—22no—
698C2—122no—
699C2—274no—
700C2—362no—
701C2—542no—
702C2C2×#8864611yescharacteristic
703C2#1172247511yescharacteristic
704C2C2×#8866811yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC22×C3×C4×C9C22
socleC22×C32C23×D3
hypercenterC22×C4D3×D9
hypocenterC3×C9C2×#121
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. C22×C4×C3⋊D9C2semidirect
2. C2×#88668C2semidirect
3. C2×#88646C2semidirect
4. C9×#930C2semidirect
5. C3×#63492C2semidirect
6. #11721290C2semidirect
7. #11721048C2semidirect
8. #11721045C2semidirect
9. #11721041C2semidirect
10. #11721007C2semidirect
11. #11721000C2semidirect
16. C22×C3×C4×C9C22semidirect
17. C22×C3⋊Dic9C22semidirect
21. C2×C4×C3⋊D9C22semidirect
22. C2×C4×C3⋊D9C22semidirect
23. C2×C9×#67C22semidirect
24. C2×C3×#611C22semidirect
25. C2×C9×D12C22semidirect
26. C2×C3×D36C22semidirect
28. C2×#6195C22semidirect
29. C2×#6194C22semidirect
30. C2×#6192C22semidirect
33. C9×(C2×D3)⋊C4C22semidirect
34. C3×(C2×D9)⋊C4C22semidirect
35. C9×C4⋊Dic3C22semidirect
36. C3×C4⋊Dic9C22semidirect
37. (C2×D3)⋊Dic9C22semidirect
38. (C2×D9)⋊Dic3C22semidirect
39. #88442C22semidirect
58. #63492D3semidirect
66. C22×C3⋊D9D4semidirect
83. C4×C3⋊D9D4semidirect
128. C22×C4×C9C2×D3semidirect
131. C2×#611C2×D3semidirect
137. C2×D36C2×D3semidirect
153. (C2×D9)⋊C4C2×D3semidirect
154. C4⋊Dic9C2×D3semidirect
158. C22×C3×C9C2×D4semidirect
165. C2×C3⋊D9C2×D4semidirect
175. C3×C4×C9C2×D4semidirect
177. C3⋊Dic9C2×D4semidirect
194. #930D9semidirect
287. C3⋊D9#121semidirect
300. C22×C3×C4C2×D9semidirect
307. C2×#67C2×D9semidirect
318. C2×D12C2×D9semidirect
345. (C2×D3)⋊C4C2×D9semidirect
347. C4⋊Dic3C2×D9semidirect
383. C22×C9D3×D4semidirect
407. C4×C9D3×D4semidirect
424. C3×C9C2×#121semidirect
543. C22×C4D3×D9semidirect
565. C22×C3D4×D9semidirect
604. C3×C4D4×D9semidirect
616. C9D3×#121semidirect
686. C22#88646semidirect
693. C4#88668semidirect
695. C3D9×#121semidirect

Maximal subgroups

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

subgroupindex
C22×C4×C3⋊D92
C2×#886682
C2×#886462
C9×#9302
C3×#634922
#117212902
#117210482
#117210452
#117210412
#117210072
#117210002
#105950813
D9×#1213