Finite Group Databasebeta

← #11803298

Subgroups — #11803298

Order 1152.

1953 conjugacy classes of subgroups.

The subgroup lattice has 751 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3757C211yesmaximal, characteristic, complemented
2C2×C3×#953C211yesmaximal, characteristic
3C2×#67⋊Dic3C211yesmaximal, characteristic, complemented
4C3×#5247C211yesmaximal, characteristic, complemented
5#10591721C212yesmaximal, complemented
6#10591719C211yesmaximal, characteristic, complemented
7#10591713C211yesmaximal, characteristic, complemented
8#10591707C212yesmaximal, complemented
9#10591705C211yesmaximal, characteristic, complemented
10#10591702C212yesmaximal, complemented
11#10591701C212yesmaximal, complemented
12#82578—31nomaximal
13#73821—31nomaximal
14C25×C32C2211yescharacteristic
15C23×C3⋊Dic3C2211yescharacteristic
16C23×C3⋊Dic3C2211yescharacteristic
17C22×C3×#67C2211yescharacteristic
18C22×C3×#67C2212yes—
19C22×D3×Dic3C2211yescharacteristic, complemented
20C2×#3757—24no—
21C2×#3757C2212yes—
22C2×#3757C2212yes—
23C3×#953C418yescomplemented
24C2×C3×#217C2211yescharacteristic
25C2×C3×#217C2211yescharacteristic
26C2×C3×#217C2212yes—
27C2×C3×#217C2212yes—
28C2×C3×#217C2212yes—
29C2×C3×#217C2211yescharacteristic
30#67⋊Dic3—24no—
31C2×Dic3⋊Dic3C2211yescharacteristic, complemented
32C2×Dic3⋊Dic3C2212yescomplemented
33C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
34C2×(C2×D3)⋊Dic3C2212yescomplemented
35C2×Dic32C2211yescharacteristic, complemented
36C2×Dic32C2212yescomplemented
37#63579C2212yescomplemented
38#63579C2212yescomplemented
39#63579C2212yescomplemented
40C2×C3×#120—31no—
41C2×#953D311yescharacteristic
42C22×#217—31no—
43C22×#217—31no—
44C22×#217—61no—
45C2×D4×Dic3—31no—
46C2×#67⋊C4—31no—
47C3×#379—31no—
48#5247D311yescharacteristic, complemented
49#5221—32no—
50#5220—31no—
51#5220—32no—
52#4958—31no—
53#4957—32no—
54#4956—32no—
55#4951—32no—
56#4951—32no—
57#4950—31no—
58#4946—31no—
59#4945—32no—
60#4944—32no—
61Dic3×C22⋊C4—31no—
62Dic3×C22⋊C4—31no—
63C24×C32—22no—
64C24×C32—22no—
65C24×C32—42no—
66C24×C32—42no—
67C24×C32C2×C414yescomplemented
68C24×C32C2312yes—
69C24×C32C2311yescharacteristic
70C23×C3×D3C2311yescharacteristic
71C22×C3⋊Dic3—22no—
72C22×C3⋊Dic3—42no—
73C22×C3⋊Dic3—42no—
74C22×C3⋊Dic3D414yescomplemented
75C22×C3⋊Dic3C2312yes—
76C22×C3⋊Dic3C2311yescharacteristic
77C22×C3⋊Dic3C2311yescharacteristic
78C2×C3×#67—22no—
79C2×C3×#67—22no—
80C2×C3×#67—42no—
81C2×C3×#67—42no—
82C2×C3×#67C2×C414yes—
83C2×C3×#67C2×C418yescomplemented
84C22×C3×Dic3C2311yescharacteristic
85C22×C3×Dic3C2312yes—
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2312yes—
89C2×D3×Dic3—22no—
90C2×D3×Dic3—42no—
91#3757—24no—
92#3757—24no—
93C3×#217—22no—
94C3×#217—22no—
95C3×#217—42no—
96C3×#217—42no—
97C3×#217C2×C418yescomplemented
98C3×#217C2×C414yescomplemented
99Dic3⋊Dic3—22no—
100Dic3⋊Dic3—42no—
101(C2×D3)⋊Dic3—22no—
102(C2×D3)⋊Dic3—42no—
103Dic32—22no—
104Dic32—42no—
105#2321—91noSylow
106C25×C3—21no—
107C25×C3C2×D311yescharacteristic
108C25×C3C2×D311yescharacteristic
109C22×C3×D4—31no—
110C22×C3×D4—32no—
111C22×#67C2×D311yescharacteristic
112C22×#67C2×D312yes—
113C23×Dic3—31no—
114C23×Dic3—31no—
115C23×Dic3—31no—
116C23×Dic3—31no—
117C23×Dic3—31no—
118C23×Dic3—61no—
119C23×Dic3—61no—
120C22×C4×D3—31no—
121C3×#120—38no—
122C2×C3×C22⋊C4—31no—
123C2×C3×C22⋊C4—32no—
124C2×C3×C22⋊C4—31no—
125C2×C3×C22⋊C4—31no—
126C2×C3×C22⋊C4—32no—
127C2×C3×C22⋊C4—32no—
128#953Dic318yescomplemented
129C2×#217—32no—
130C2×#217—32no—
131C2×#217—32no—
132C2×#217—32no—
133C2×#217—31no—
134C2×#217—32no—
135C2×#217—62no—
136C2×#217—62no—
137C2×#217—64no—
138C2×#217—64no—
139C2×#217—68no—
140C2×#217C2×D311yescharacteristic
141C2×#217C2×D311yescharacteristic
142C2×#217C2×D312yes—
143C2×#217C2×D312yes—
144C2×#217C2×D311yescharacteristic
145C2×#217C2×D312yes—
146D4×Dic3—64no—
147C2×(C2×D3)⋊C4—31no—
148C2×(C2×D3)⋊C4—32no—
149C2×C4⋊Dic3—31no—
150C2×C4⋊Dic3—32no—
151C2×Dic3⋊C4—31no—
152C2×Dic3⋊C4—32no—
153C2×C4×Dic3—31no—
154C2×C4×Dic3—31no—
155C2×C4×Dic3—32no—
156C2×C4×Dic3—32no—
157#67⋊C4—64no—
158C3⋊#95—32no—
159C3⋊#95—32no—
160C3⋊#95—32no—
161C3⋊#95—32no—
162C3⋊#95—32no—
163C3⋊#95—32no—
164C23×C32—22no—
165C23×C32—22no—
166C23×C32—28no—
167C23×C32—22no—
168C23×C32—22no—
169C23×C32—22no—
170C23×C32—22no—
171C23×C32—22no—
172C23×C32—22no—
173C23×C32—48no—
174C23×C32—44no—
175C23×C32—44no—
176C23×C32—48no—
177C23×C32C22×C414yes—
178C23×C32C22×C412yes—
179C23×C32C2×D412yes—
180C23×C32#4112yes—
181C23×C32C2411yescharacteristic
182C22×C3×D3—21no—
183C22×C3×D3—21no—
184C22×C3×D3—22no—
185C22×C3×D3—22no—
186C22×C3×D3C22×C412yes—
187C2×C3⋊Dic3—22no—
188C2×C3⋊Dic3—22no—
189C2×C3⋊Dic3—22no—
190C2×C3⋊Dic3—22no—
191C2×C3⋊Dic3—22no—
192C2×C3⋊Dic3—44no—
193C2×C3⋊Dic3—44no—
194C2×C3⋊Dic3C2×D412yes—
195C2×C3⋊Dic3C2×D412yes—
196C3×#67—28no—
197C3×#67—48no—
198C2×C3×Dic3—21no—
199C2×C3×Dic3—21no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3—22no—
208C2×C3×Dic3—22no—
209C2×C3×Dic3C22×C412yes—
210C2×C3×Dic3C22×C414yes—
211D3×Dic3—44no—
212C2×#120—31no—
213C2×C4×D4—91no—
214C22×C22⋊C4—91no—
215#390—92no—
216#388—92no—
217#388—92no—
218#386—92no—
219#386—91no—
220#385—91no—
221#379—31no—
222C4×C22⋊C4—91no—
223C24×C3—24no—
224C24×C3—24no—
225C24×C3—22no—
226C24×C3—22no—
227C24×C3—22no—
228C24×C3—22no—
229C24×C3—24no—
230C24×C3—21no—
231C24×C3—22no—
232C24×C3—31no—
233C24×C3—42no—
234C24×C3—42no—
235C24×C3—42no—
236C24×C3—42no—
237C24×C3—44no—
238C24×C3—44no—
239C24×C3C4×D314yescomplemented
240C24×C3C2×Dic314yescomplemented
241C24×C3C22×D312yes—
242C24×C3C22×D312yes—
243C24×C3C22×D311yescharacteristic
244C24×C3C22×D311yescharacteristic
245C23×D3C22×D311yescharacteristic
246C2×C3×D4—34no—
247C2×C3×D4—38no—
248C2×C3×D4—62no—
249C2×C3×D4—62no—
250C2×C3×D4—122no—
251C2×C3×D4—122no—
252C22×C3×C4—31no—
253C22×C3×C4—32no—
254C22×C3×C4—32no—
255C22×C3×C4—31no—
256C22×C3×C4—31no—
257C2×#67—22no—
258C2×#67—22no—
259C2×#67—42no—
260C2×#67—42no—
261C2×#67C2×Dic314yes—
262C2×#67C2×Dic318yescomplemented
263C22×Dic3—31no—
264C22×Dic3—31no—
265C22×Dic3—31no—
266C22×Dic3—31no—
267C22×Dic3—34no—
268C22×Dic3—34no—
269C22×Dic3—32no—
270C22×Dic3—32no—
271C22×Dic3—64no—
272C22×Dic3—61no—
273C22×Dic3—61no—
274C22×Dic3—62no—
275C22×Dic3—62no—
276C22×Dic3—64no—
277C22×Dic3—62no—
278C22×Dic3—62no—
279C22×Dic3—122no—
280C22×Dic3—122no—
281C22×Dic3—122no—
282C22×Dic3—122no—
283C22×Dic3—122no—
284C22×Dic3—124no—
285C22×Dic3—124no—
286C22×Dic3C22×D312yes—
287C22×Dic3C22×D311yescharacteristic
288C22×Dic3C22×D311yescharacteristic
289C22×Dic3C22×D311yescharacteristic
290C22×Dic3C22×D312yes—
291C2×C4×D3—62no—
292C2×C4×D3—122no—
293C3×C22⋊C4—38no—
294C3×C22⋊C4—34no—
295C3×C22⋊C4—62no—
296C3×C22⋊C4—62no—
297C3×C22⋊C4—122no—
298C3×C22⋊C4—122no—
299#217—22no—
300#217—22no—
301#217—42no—
302#217—42no—
303#217—62no—
304#217—64no—
305#217—64no—
306#217—64no—
307#217—64no—
308#217—68no—
309#217—68no—
310#217—122no—
311#217C2×Dic318yescomplemented
312#217C2×Dic314yescomplemented
313(C2×D3)⋊C4—62no—
314(C2×D3)⋊C4—122no—
315C4⋊Dic3—62no—
316C4⋊Dic3—122no—
317Dic3⋊C4—62no—
318Dic3⋊C4—122no—
319C4×Dic3—62no—
320C4×Dic3—62no—
321C4×Dic3—122no—
322C4×Dic3—122no—
323C22×C32—24no—
324C22×C32—22no—
325C22×C32—22no—
326C22×C32—24no—
327C22×C32—24no—
328C22×C32—24no—
329C22×C32—24no—
330C22×C32—416no—
331C22×C32—42no—
332C22×C32—42no—
333C22×C32—42no—
334C22×C32—42no—
335C22×C32C4×D414yes—
336C22×C32C23×C411yescharacteristic
337C22×C32C22×D411yescharacteristic
338C22×C32C2×#4111yescharacteristic
339C22×C32H(5,𝔽2)12yes—
340C22×C32H(5,𝔽2)12yes—
341C2×C3×D3—22no—
342C2×C3×D3—24no—
343C2×C3×D3—41no—
344C2×C3×D3—41no—
345C2×C3×D3—42no—
346C3⋊Dic3—22no—
347C3⋊Dic3—22no—
348C3⋊Dic3—42no—
349C3×Dic3—22no—
350C3×Dic3—24no—
351C3×Dic3—41no—
352C3×Dic3—41no—
353C3×Dic3—42no—
354C25D3211yescharacteristic
355C22×D4—31no—
356C22×D4—32no—
357C23×C4—91no—
358C23×C4—91no—
359C23×C4—91no—
360#120—38no—
361C4×D4—184no—
362C2×C4⋊C4—91no—
363C2×C4⋊C4—92no—
364C2×C22⋊C4—31no—
365C2×C22⋊C4—32no—
366C2×C22⋊C4—31no—
367C2×C22⋊C4—31no—
368C2×C22⋊C4—32no—
369C2×C22⋊C4—32no—
370C2×C22⋊C4—91no—
371C2×C22⋊C4—92no—
372C2×C22⋊C4—92no—
373C2×C22⋊C4—92no—
374C2×C22⋊C4—184no—
375C2×C42—91no—
376C2×C42—92no—
377#95—92no—
378#95—92no—
379#95—92no—
380C23×C3—24no—
381C23×C3—24no—
382C23×C3—22no—
383C23×C3—22no—
384C23×C3—22no—
385C23×C3—22no—
386C23×C3—24no—
387C23×C3—24no—
388C23×C3—216no—
389C23×C3—28no—
390C23×C3—28no—
391C23×C3—22no—
392C23×C3—22no—
393C23×C3—22no—
394C23×C3—22no—
395C23×C3—22no—
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3—22no—
402C23×C3—22no—
403C23×C3—21no—
404C23×C3—22no—
405C23×C3—24no—
406C23×C3—22no—
407C23×C3—22no—
408C23×C3—32no—
409C23×C3—42no—
410C23×C3—42no—
411C23×C3—42no—
412C23×C3—42no—
413C23×C3—48no—
414C23×C3—48no—
415C23×C3—416no—
416C23×C3—48no—
417C23×C3—48no—
418C23×C3—416no—
419C23×C3—44no—
420C23×C3—44no—
421C23×C3—44no—
422C23×C3—44no—
423C23×C3—48no—
424C23×C3—48no—
425C23×C3—61no—
426C23×C3—61no—
427C23×C3—62no—
428C23×C3—62no—
429C23×C3C2×C4×D314yes—
430C23×C3C2×C4×D312yes—
431C23×C3D3×D412yes—
432C23×C3D3×D412yes—
433C23×C3#23712yes—
434C23×C3#23712yes—
435C23×C3C22×Dic314yes—
436C23×C3C22×Dic312yes—
437C23×C3C23×D311yescharacteristic
438C23×C3C23×D311yescharacteristic
439C22×D3—21no—
440C22×D3—21no—
441C22×D3—22no—
442C22×D3—22no—
443C22×D3C22×Dic312yes—
444C3×D4—68no—
445C3×D4—128no—
446C2×C3×C4—32no—
447C2×C3×C4—34no—
448C2×C3×C4—61no—
449C2×C3×C4—61no—
450C2×C3×C4—62no—
451C2×C3×C4—62no—
452C2×C3×C4—61no—
453C2×C3×C4—61no—
454C2×C3×C4—62no—
455C2×C3×C4—62no—
456C2×C3×C4—62no—
457C2×C3×C4—62no—
458C2×C3×C4—62no—
459#67—28no—
460#67—48no—
461C2×Dic3—21no—
462C2×Dic3—21no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—21no—
466C2×Dic3—21no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—32no—
473C2×Dic3—32no—
474C2×Dic3—32no—
475C2×Dic3—32no—
476C2×Dic3—62no—
477C2×Dic3—62no—
478C2×Dic3—62no—
479C2×Dic3—62no—
480C2×Dic3—62no—
481C2×Dic3—62no—
482C2×Dic3—64no—
483C2×Dic3—62no—
484C2×Dic3—62no—
485C2×Dic3—62no—
486C2×Dic3—62no—
487C2×Dic3—62no—
488C2×Dic3—62no—
489C2×Dic3—122no—
490C2×Dic3—122no—
491C2×Dic3—122no—
492C2×Dic3—122no—
493C2×Dic3—124no—
494C2×Dic3—124no—
495C2×Dic3—124no—
496C2×Dic3—128no—
497C2×Dic3—128no—
498C2×Dic3—124no—
499C2×Dic3—124no—
500C2×Dic3C22×Dic312yes—
501C2×Dic3C22×Dic314yes—
502C4×D3—124no—
503C2×C32—24no—
504C2×C32—44no—
505C2×C32C2×C4×D411yescharacteristic
506C2×C32#51812yes—
507C2×C32#53411yescharacteristic
508C2×C32#53511yescharacteristic
509C2×C32#53812yes—
510C3×D3—42no—
511C24—22no—
512C24—22no—
513C24—31no—
514C24—42no—
515C24—42no—
516C24D3×Dic314yescomplemented
517C24C2×D3212yes—
518C24C2×D3211yescharacteristic
519C2×D4—34no—
520C2×D4—38no—
521C2×D4—62no—
522C2×D4—62no—
523C2×D4—122no—
524C2×D4—122no—
525C22×C4—31no—
526C22×C4—32no—
527C22×C4—32no—
528C22×C4—31no—
529C22×C4—31no—
530C22×C4—91no—
531C22×C4—91no—
532C22×C4—94no—
533C22×C4—92no—
534C22×C4—182no—
535C22×C4—182no—
536C22×C4—362no—
537C22×C4—362no—
538C22×C4—362no—
539C4⋊C4—182no—
540C4⋊C4—362no—
541C22⋊C4—38no—
542C22⋊C4—34no—
543C22⋊C4—62no—
544C22⋊C4—62no—
545C22⋊C4—122no—
546C22⋊C4—122no—
547C22⋊C4—182no—
548C22⋊C4—184no—
549C22⋊C4—184no—
550C22⋊C4—362no—
551C42—182no—
552C42—362no—
553C22×C3—24no—
554C22×C3—24no—
555C22×C3—28no—
556C22×C3—28no—
557C22×C3—24no—
558C22×C3—24no—
559C22×C3—22no—
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—24no—
564C22×C3—24no—
565C22×C3—28no—
566C22×C3—24no—
567C22×C3—24no—
568C22×C3—24no—
569C22×C3—24no—
570C22×C3—24no—
571C22×C3—24no—
572C22×C3—21no—
573C22×C3—21no—
574C22×C3—21no—
575C22×C3—22no—
576C22×C3—22no—
577C22×C3—24no—
578C22×C3—44no—
579C22×C3—44no—
580C22×C3—432no—
581C22×C3—416no—
582C22×C3—416no—
583C22×C3—44no—
584C22×C3—44no—
585C22×C3—44no—
586C22×C3—44no—
587C22×C3—42no—
588C22×C3—42no—
589C22×C3—42no—
590C22×C3—42no—
591C22×C3—42no—
592C22×C3—42no—
593C22×C3—42no—
594C22×C3—42no—
595C22×C3—62no—
596C22×C3—64no—
597C22×C3—121no—
598C22×C3—121no—
599C22×C3—122no—
600C22×C3#67⋊C414yes—
601C22×C3D4×Dic314yes—
602C22×C3C22×C4×D311yescharacteristic
603C22×C3C2×D3×D411yescharacteristic
604C22×C3C2×D3×D411yescharacteristic
605C22×C3C2×#23711yescharacteristic
606C22×C3C2×#23711yescharacteristic
607C22×C3#100412yes—
608C22×C3#100412yes—
609C22×C3#100412yes—
610C22×C3#100412yes—
611C22×C3C23×Dic311yescharacteristic
612C2×D3—22no—
613C2×D3—24no—
614C2×D3—41no—
615C2×D3—41no—
616C2×D3—42no—
617C3×C4—62no—
618C3×C4—64no—
619C3×C4—121no—
620C3×C4—121no—
621C3×C4—122no—
622Dic3—22no—
623Dic3—24no—
624Dic3—41no—
625Dic3—41no—
626Dic3—42no—
627Dic3—62no—
628Dic3—62no—
629Dic3—62no—
630Dic3—62no—
631Dic3—122no—
632Dic3—122no—
633Dic3—124no—
634Dic3—122no—
635Dic3—122no—
636C32#232111yescharacteristic, complemented, Sylow
637C23—22no—
638C23—22no—
639C23—22no—
640C23—22no—
641C23—22no—
642C23—22no—
643C23—22no—
644C23—22no—
645C23—28no—
646C23—32no—
647C23—48no—
648C23—44no—
649C23—48no—
650C23—44no—
651C23—61no—
652C23—61no—
653C23—62no—
654C23—62no—
655C23C2×D3×Dic314yes—
656C23C2×D3×Dic312yes—
657C23#380512yes—
658C23#381112yes—
659C23C22×D3211yescharacteristic
660D4—68no—
661D4—128no—
662C2×C4—32no—
663C2×C4—34no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—62no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—62no—
675C2×C4—92no—
676C2×C4—92no—
677C2×C4—182no—
678C2×C4—182no—
679C2×C4—182no—
680C2×C4—182no—
681C2×C4—182no—
682C2×C4—364no—
683C2×C4—364no—
684C2×C4—364no—
685C2×C3—28no—
686C2×C3—24no—
687C2×C3—24no—
688C2×C3—21no—
689C2×C3—21no—
690C2×C3—22no—
691C2×C3—22no—
692C2×C3—21no—
693C2×C3—48no—
694C2×C3—44no—
695C2×C3—44no—
696C2×C3—122no—
697C2×C3C2×#67⋊C411yescharacteristic
698C2×C3#548612yes—
699C2×C3#558911yescharacteristic
700C2×C3#558911yescharacteristic
701C2×C3#559211yescharacteristic
702C2×C3#559211yescharacteristic
703C2×C3#559312yes—
704C2×C3#559312yes—
705C2×C3C2×D4×Dic311yescharacteristic
706C2×C3#579812yes—
707D3—42no—
708C22—22no—
709C22—24no—
710C22—24no—
711C22—22no—
712C22—24no—
713C22—24no—
714C22—24no—
715C22—416no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—62no—
721C22—64no—
722C22—121no—
723C22—122no—
724C22—121no—
725C22#67⋊Dic314yes—
726C22C22×D3×Dic311yescharacteristic
727C22C2×#380511yescharacteristic
728C22C2×#381111yescharacteristic
729C22#6433012yes—
730C22#6433012yes—
731C4—62no—
732C4—64no—
733C4—121no—
734C4—122no—
735C4—121no—
736C4—182no—
737C4—182no—
738C4—362no—
739C3—21no—
740C3#7382111yescharacteristic, complemented
741C3#8257811yescharacteristic, complemented
742C2—24no—
743C2—44no—
744C2—122no—
745C2C2×#67⋊Dic311yescharacteristic
746C2#1059550211yescharacteristic
747C2#1059550612yes—
748C2#1059550812yes—
749C2#1059552811yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC25×C32C22
socle, cosocleC23×C32C24
prime radicalC2×C3×#953C2
hypercenterC25D32
hypocenterC32#2321
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C25

Complements

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

NH ≅ G/Ntype
1. C22×#3757C2semidirect
3. C2×#67⋊Dic3C2semidirect
4. C3×#5247C2semidirect
5. #10591721C2semidirect
6. #10591719C2semidirect
7. #10591713C2semidirect
8. #10591707C2semidirect
9. #10591705C2semidirect
10. #10591702C2semidirect
11. #10591701C2semidirect
19. C22×D3×Dic3C22semidirect
23. C3×#953C4semidirect
31. C2×Dic3⋊Dic3C22semidirect
32. C2×Dic3⋊Dic3C22semidirect
33. C2×(C2×D3)⋊Dic3C22semidirect
34. C2×(C2×D3)⋊Dic3C22semidirect
35. C2×Dic32C22semidirect
36. C2×Dic32C22semidirect
37. #63579C22semidirect
38. #63579C22semidirect
39. #63579C22semidirect
48. #5247D3semidirect
67. C24×C32C2×C4semidirect
74. C22×C3⋊Dic3D4semidirect
83. C2×C3×#67C2×C4semidirect
97. C3×#217C2×C4semidirect
98. C3×#217C2×C4semidirect
128. #953Dic3semidirect
239. C24×C3C4×D3semidirect
240. C24×C3C2×Dic3semidirect
262. C2×#67C2×Dic3semidirect
311. #217C2×Dic3semidirect
312. #217C2×Dic3semidirect
516. C24D3×Dic3semidirect
636. C32#2321semidirect
740. C3#73821semidirect
741. C3#82578semidirect

Maximal subgroups

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

subgroupindex
C22×#37572
C2×C3×#9532
C2×#67⋊Dic32
C3×#52472
#105917212
#105917192
#105917132
#105917072
#105917052
#105917022
#105917012
#825783
#738213