Finite Group Databasebeta

← #11900146

Subgroups — #11900146

Order 1152.

3245 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#235C211yesmaximal, characteristic
2C2×#64135C211yesmaximal, characteristic, complemented
3C2×C3×#926C211yesmaximal, characteristic, complemented
4#10595506C214yesmaximal, complemented
5#10594992C214yesmaximal, complemented
6#10594986C214yesmaximal, complemented
7#10594982C212yesmaximal, complemented
8#10594958C214yesmaximal, complemented
9Dic3×#235C214yesmaximal, complemented
10D3×#926C214yesmaximal, complemented
11#10594818C212yesmaximal, complemented
12#87260—31nomaximal
13#85731—31nomaximal
14C23×C32×C4C2211yescharacteristic
15C22×C3×#67C2212yes—
16C2×C3×#235C4116yescomplemented
17C2×C3×#235C2212yes—
18C2×C3×#235C2212yes—
19C2×C3×#235C2212yes—
20C2×C3×#235C2212yes—
21C22×C3×D12C2211yescharacteristic
22C22×C3×C4×D3C2212yes—
23C22×C3×Dic6C2211yescharacteristic
24C2×#3757C2212yes—
25#64135C2212yes—
26#64135C2212yes—
27#64135C2212yescomplemented
28#64135C2212yescomplemented
29C2×C4⋊(C3⋊Dic3)C2212yescomplemented
30C2×C4×C3⋊Dic3C2212yescomplemented
31C2×C3×#217C2212yes—
32C3×#926C2212yes—
33C3×#926C2212yes—
34C3×#926C2212yescomplemented
35C3×#926C2212yescomplemented
36C2×C3×C4⋊Dic3C2212yescomplemented
37C2×C3×C4×Dic3C2212yescomplemented
38#67⋊Dic3C22116yescomplemented
39Dic3×#67C22116yescomplemented
40D3×#217C2218yes—
41#63955C2218yes—
42#63898C2218yescomplemented
43Dic3×D12C2218yescomplemented
44D3×C4⋊Dic3C2218yescomplemented
45C4×D3×Dic3C2218yescomplemented
46#63855C2218yescomplemented
47#63843C2218yescomplemented
48Dic3×Dic6C2218yescomplemented
49#63841C2218yescomplemented
50C22×C3×#41—31no—
51C22×#235D311yescharacteristic
52C2×C3×#117—31no—
53#5827—34no—
54#5827—34no—
55Dic3×#41—34no—
56Dic3×#41—34no—
57#5812—32no—
58#5798—34no—
59#5798—32no—
60C2×#926—31no—
61C2×#926—31no—
62C2×#926—34no—
63C2×#926—61no—
64C2×#926D311yescharacteristic, complemented
65#5523—34no—
66#5522—34no—
67#5521—32no—
68D3×#117—34no—
69#5516—32no—
70#5504—34no—
71#5486—34no—
72C4×#235—34no—
73C24×C32C2311yescharacteristic
74C23×C3×D3C2312yes—
75C22×C32×C4C2×C418yescomplemented
76C22×C32×C4C2311yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2311yescharacteristic
80C22×C32×C4C2311yescharacteristic
81C22×C32×C4C2311yescharacteristic
82C22×C3⋊Dic3C2314yes—
83C2×C3×#67C2×C4116yescomplemented
84C2×C3×#67C2314yes—
85C2×C3×#67C2314yes—
86C22×C3×Dic3C2314yes—
87C22×C3×Dic3C2312yes—
88C3×#235C2×C4116yescomplemented
89C3×#235C2×C4116yescomplemented
90C3×#235C2×C4116yescomplemented
91C3×#235C2×C4116yescomplemented
92C2×C3×D12C2×C418yescomplemented
93C2×C3×D12C2312yes—
94C2×C3×D12C2312yes—
95C2×C3×C4×D3C2×C4116yescomplemented
96C2×C3×C4×D3C2314yes—
97C2×C3×C4×D3C2314yes—
98C2×C3×Dic6C2×C418yescomplemented
99C2×C3×Dic6C2312yes—
100C2×C3×Dic6C2312yes—
101C2×D3×Dic3C23116yes—
102#3757C2314yes—
103#3757C2314yes—
104C4⋊(C3⋊Dic3)C2314yes—
105C4⋊(C3⋊Dic3)C2314yes—
106C4×C3⋊Dic3C2314yes—
107C4×C3⋊Dic3C2314yes—
108C3×#217C2314yes—
109C3×#217C2314yes—
110C3×C4⋊Dic3C2314yes—
111C3×C4⋊Dic3C2314yes—
112C3×C4×Dic3C2314yes—
113C3×C4×Dic3C2314yes—
114Dic3⋊Dic3C23116yes—
115(C2×D3)⋊Dic3C23116yes—
116Dic32C23116yes—
117#3428—91noSylow
118C2×C3×#41—316no—
119C2×C3×#41—32no—
120C2×C3×#41—32no—
121C2×C3×#41—32no—
122C2×C3×#41—32no—
123C22×C3×Q8—31no—
124C22×C3×D4—32no—
125C22×C3×D4—31no—
126C23×C3×C4—21no—
127C23×C3×C4—32no—
128C23×C3×C4C2×D311yescharacteristic
129C23×C3×C4C2×D311yescharacteristic
130C22×#67C2×D312yes—
131C2×#235Dic3116yescomplemented
132C2×#235C2×D312yes—
133C2×#235C2×D312yes—
134C2×#235C2×D312yes—
135C2×#235C2×D312yes—
136C22×D12C2×D311yescharacteristic
137C22×C4×D3C2×D312yes—
138C22×Dic6C2×D311yescharacteristic
139C3×#117—32no—
140C3×#117—32no—
141C3×#117—32no—
142C3×#117—32no—
143C2×C3×C4⋊C4—32no—
144C2×C3×C22⋊C4—32no—
145C2×C3×C42—32no—
146C2×#217—32no—
147C2×#217—32no—
148C2×#217—38no—
149C2×#217—62no—
150C2×#217C2×D312yes—
151Q8×Dic3—38no—
152Q8×Dic3—38no—
153D4×Dic3—316no—
154D4×Dic3—316no—
155D4×Dic3—38no—
156D4×Dic3—38no—
157C4×#67—316no—
158#926—32no—
159#926—32no—
160#926—32no—
161#926—32no—
162#926—32no—
163#926—32no—
164#926—32no—
165#926—32no—
166#926—38no—
167#926—38no—
168#926—38no—
169#926—62no—
170#926—62no—
171#926—62no—
172#926—62no—
173#926C2×D312yes—
174#926C2×D312yes—
175#926C2×D312yescomplemented
176#926C2×D312yescomplemented
177C2×C4⋊Dic3—32no—
178C2×C4⋊Dic3—32no—
179C2×C4⋊Dic3—38no—
180C2×C4⋊Dic3—62no—
181C2×C4⋊Dic3C2×D312yescomplemented
182C2×C4×Dic3—32no—
183C2×C4×Dic3—32no—
184C2×C4×Dic3—38no—
185C2×C4×Dic3—62no—
186C2×C4×Dic3C2×D312yescomplemented
187#893—38no—
188#892—38no—
189D3×C4⋊C4—38no—
190#887—38no—
191#67⋊C4—316no—
192D3×C22⋊C4—38no—
193#877—38no—
194C4×D12—38no—
195#872—38no—
196C42×D3—38no—
197C4×Dic6—38no—
198C23×C32—42no—
199C23×C32C22×C414yes—
200C23×C32C2411yescharacteristic
201C23×C32C2411yescharacteristic
202C23×C32C2411yescharacteristic
203C22×C3×D3—44no—
204C22×C3×D3C22×C418yes—
205C22×C3×D3C2414yes—
206C2×C32×C4C22×C414yes—
207C2×C32×C4C22×C414yes—
208C2×C32×C4C22×C414yes—
209C2×C32×C4C22×C414yes—
210C2×C32×C4C22×C414yes—
211C2×C32×C4C22×C414yes—
212C2×C32×C4C2411yescharacteristic
213C2×C32×C4C2411yescharacteristic
214C2×C32×C4C2411yescharacteristic
215C2×C32×C4C2411yescharacteristic
216C2×C3⋊Dic3—44no—
217C2×C3⋊Dic3C2418yes—
218C3×#67C22×C4116yes—
219C3×#67C22×C4116yes—
220C2×C3×Dic3—44no—
221C2×C3×Dic3C22×C418yes—
222C2×C3×Dic3C2418yes—
223C2×C3×Dic3C2414yes—
224C3×D12C22×C418yes—
225C3×D12C22×C418yes—
226C3×C4×D3C22×C4116yes—
227C3×C4×D3C22×C4116yes—
228C3×Dic6C22×C418yes—
229C3×Dic6C22×C418yes—
230D3×Dic3—416no—
231C22×#41—31no—
232#520—94no—
233#520—94no—
234#519—92no—
235#518—94no—
236#518—92no—
237C4×#41—94no—
238C4×#41—94no—
239C2×#117—31no—
240C2×#117—94no—
241C2×#117—91no—
242C24×C3—21no—
243C24×C3—32no—
244C24×C3C22×D311yescharacteristic
245C24×C3C22×D311yescharacteristic
246C23×D3C22×D312yes—
247C3×#41—316no—
248C3×#41—316no—
249C3×#41—316no—
250C3×#41—316no—
251C2×C3×Q8—38no—
252C2×C3×Q8—32no—
253C2×C3×Q8—32no—
254C2×C3×D4—316no—
255C2×C3×D4—34no—
256C2×C3×D4—34no—
257C2×C3×D4—38no—
258C2×C3×D4—32no—
259C2×C3×D4—32no—
260C22×C3×C4—28no—
261C22×C3×C4—21no—
262C22×C3×C4—21no—
263C22×C3×C4—21no—
264C22×C3×C4—21no—
265C22×C3×C4—21no—
266C22×C3×C4—21no—
267C22×C3×C4—32no—
268C22×C3×C4—316no—
269C22×C3×C4—34no—
270C22×C3×C4—34no—
271C22×C3×C4—34no—
272C22×C3×C4C4×D318yescomplemented
273C22×C3×C4C2×Dic318yescomplemented
274C22×C3×C4C22×D311yescharacteristic
275C22×C3×C4C22×D311yescharacteristic
276C22×C3×C4C22×D311yescharacteristic
277C22×C3×C4C22×D311yescharacteristic
278C22×C3×C4C22×D311yescharacteristic
279C22×C3×C4C22×D311yescharacteristic
280C22×C3×C4C22×D311yescharacteristic
281C22×C3×C4C22×D311yescharacteristic
282C22×C3×C4C22×D311yescharacteristic
283C22×C3×C4C22×D311yescharacteristic
284C22×C3×C4C22×D311yescharacteristic
285C22×C3×C4C22×D311yescharacteristic
286C2×#67C2×Dic3116yescomplemented
287C2×#67C22×D314yes—
288C2×#67C22×D314yes—
289C22×Dic3—34no—
290C22×Dic3—34no—
291C22×Dic3—316no—
292C22×Dic3—64no—
293C22×Dic3C22×D314yes—
294C22×Dic3C22×D312yes—
295#235C2×Dic3116yescomplemented
296#235C2×Dic3116yescomplemented
297#235C2×Dic3116yescomplemented
298#235C2×Dic3116yescomplemented
299C2×D12C2×Dic318yescomplemented
300C2×D12C22×D312yes—
301C2×D12C22×D312yes—
302C2×C4×D3—316no—
303C2×C4×D3C2×Dic3116yescomplemented
304C2×C4×D3C22×D314yes—
305C2×C4×D3C22×D314yes—
306C2×Dic6C2×Dic318yescomplemented
307C2×Dic6C22×D312yes—
308C2×Dic6C22×D312yes—
309C3×C4⋊C4—34no—
310C3×C4⋊C4—34no—
311C3×C22⋊C4—34no—
312C3×C22⋊C4—34no—
313C3×C42—34no—
314C3×C42—34no—
315#217—34no—
316#217—34no—
317#217—34no—
318#217—34no—
319#217—316no—
320#217—64no—
321#217—64no—
322#217C22×D314yes—
323#217C22×D314yes—
324(C2×D3)⋊C4—316no—
325C4⋊Dic3—34no—
326C4⋊Dic3—34no—
327C4⋊Dic3—34no—
328C4⋊Dic3—34no—
329C4⋊Dic3—316no—
330C4⋊Dic3—64no—
331C4⋊Dic3—64no—
332C4⋊Dic3C22×D314yes—
333C4⋊Dic3C22×D314yes—
334Dic3⋊C4—316no—
335C4×Dic3—34no—
336C4×Dic3—34no—
337C4×Dic3—34no—
338C4×Dic3—34no—
339C4×Dic3—316no—
340C4×Dic3—316no—
341C4×Dic3—64no—
342C4×Dic3—64no—
343C4×Dic3C22×D314yes—
344C4×Dic3C22×D314yes—
345C22×C32—22no—
346C22×C32—22no—
347C22×C32—22no—
348C22×C32—44no—
349C22×C32C23×C412yes—
350C22×C32C23×C412yes—
351C22×C32C23×C412yes—
352C22×C32C2511yescharacteristic
353C2×C3×D3—28no—
354C2×C3×D3—48no—
355C2×C3×D3C23×C418yes—
356C32×C4C23×C412yes—
357C32×C4C23×C412yes—
358C32×C4C23×C412yes—
359C32×C4C23×C412yes—
360C3⋊Dic3—28no—
361C3×Dic3—28no—
362C3×Dic3C23×C418yes—
363C2×#41—316no—
364C2×#41—32no—
365C2×#41—32no—
366C2×#41—32no—
367C2×#41—32no—
368C22×Q8—31no—
369C22×D4—32no—
370C22×D4—31no—
371C23×C4—32no—
372C23×C4D3211yescharacteristic
373C4×Q8—98no—
374C4×Q8—98no—
375C4×D4—98no—
376C4×D4—916no—
377C4×D4—98no—
378C4×D4—916no—
379#117—32no—
380#117—32no—
381#117—32no—
382#117—32no—
383#117—98no—
384#117—98no—
385#117—98no—
386#117—92no—
387#117—92no—
388#117—92no—
389#117—92no—
390C2×C4⋊C4—32no—
391C2×C4⋊C4—98no—
392C2×C4⋊C4—92no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—98no—
395C2×C22⋊C4—92no—
396C2×C42—32no—
397C2×C42—98no—
398C2×C42—92no—
399C23×C3—21no—
400C23×C3—21no—
401C23×C3—21no—
402C23×C3—24no—
403C23×C3—34no—
404C23×C3—38no—
405C23×C3—42no—
406C23×C3—42no—
407C23×C3—44no—
408C23×C3—124no—
409C23×C3C2×C4×D314yes—
410C23×C3C22×Dic314yes—
411C23×C3C23×D311yescharacteristic
412C23×C3C23×D311yescharacteristic
413C23×C3C23×D311yescharacteristic
414C23×C3C23×D311yescharacteristic
415C23×C3C23×D311yescharacteristic
416C23×C3C23×D311yescharacteristic
417C22×D3—44no—
418C22×D3C22×Dic318yes—
419C22×D3C23×D314yes—
420C3×Q8—38no—
421C3×Q8—38no—
422C3×D4—316no—
423C3×D4—316no—
424C3×D4—38no—
425C3×D4—38no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—24no—
431C2×C3×C4—24no—
432C2×C3×C4—24no—
433C2×C3×C4—24no—
434C2×C3×C4—24no—
435C2×C3×C4—24no—
436C2×C3×C4—38no—
437C2×C3×C4—34no—
438C2×C3×C4—316no—
439C2×C3×C4—316no—
440C2×C3×C4—38no—
441C2×C3×C4—124no—
442C2×C3×C4C2×C4×D314yes—
443C2×C3×C4C2×C4×D314yes—
444C2×C3×C4C2×C4×D314yes—
445C2×C3×C4C2×C4×D314yes—
446C2×C3×C4C2×C4×D314yes—
447C2×C3×C4C2×C4×D314yes—
448C2×C3×C4C22×Dic314yes—
449C2×C3×C4C22×Dic314yes—
450C2×C3×C4C22×Dic314yes—
451C2×C3×C4C22×Dic314yes—
452C2×C3×C4C22×Dic314yes—
453C2×C3×C4C22×Dic314yes—
454C2×C3×C4C23×D311yescharacteristic
455C2×C3×C4C23×D311yescharacteristic
456C2×C3×C4C23×D311yescharacteristic
457C2×C3×C4C23×D311yescharacteristic
458C2×C3×C4C23×D311yescharacteristic
459C2×C3×C4C23×D311yescharacteristic
460C2×C3×C4C23×D311yescharacteristic
461C2×C3×C4C23×D311yescharacteristic
462#67C22×Dic3116yes—
463#67C22×Dic3116yes—
464C2×Dic3—38no—
465C2×Dic3—38no—
466C2×Dic3—44no—
467C2×Dic3—68no—
468C2×Dic3—1216no—
469C2×Dic3—124no—
470C2×Dic3—124no—
471C2×Dic3—128no—
472C2×Dic3C22×Dic318yes—
473C2×Dic3C23×D318yes—
474C2×Dic3C23×D314yes—
475D12C22×Dic318yes—
476D12C22×Dic318yes—
477C4×D3—1216no—
478C4×D3C22×Dic3116yes—
479C4×D3C22×Dic3116yes—
480Dic6C22×Dic318yes—
481Dic6C22×Dic318yes—
482C2×C32—22no—
483C2×C32—22no—
484C2×C32—22no—
485C2×C32C24×C411yescharacteristic
486C2×C32#58512yes—
487C3×D3—28no—
488C24—32no—
489C24C2×D3211yescharacteristic
490#41—316no—
491#41—316no—
492#41—316no—
493#41—316no—
494C2×Q8—32no—
495C2×Q8—32no—
496C2×Q8—38no—
497C2×D4—34no—
498C2×D4—34no—
499C2×D4—316no—
500C2×D4—32no—
501C2×D4—32no—
502C2×D4—38no—
503C22×C4—32no—
504C22×C4—34no—
505C22×C4—34no—
506C22×C4—316no—
507C22×C4—34no—
508C22×C4—916no—
509C22×C4—94no—
510C22×C4D3×Dic318yescomplemented
511C22×C4C2×D3211yescharacteristic
512C22×C4C2×D3211yescharacteristic
513C22×C4C2×D3211yescharacteristic
514C22×C4C2×D3211yescharacteristic
515C22×C4C2×D3211yescharacteristic
516C22×C4C2×D3211yescharacteristic
517C4⋊C4—34no—
518C4⋊C4—34no—
519C4⋊C4—916no—
520C4⋊C4—94no—
521C4⋊C4—94no—
522C22⋊C4—34no—
523C22⋊C4—34no—
524C22⋊C4—916no—
525C22⋊C4—94no—
526C22⋊C4—94no—
527C42—34no—
528C42—34no—
529C42—916no—
530C42—94no—
531C42—94no—
532C22×C3—24no—
533C22×C3—22no—
534C22×C3—22no—
535C22×C3—22no—
536C22×C3—22no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—21no—
543C22×C3—38no—
544C22×C3—42no—
545C22×C3—42no—
546C22×C3—44no—
547C22×C3—44no—
548C22×C3—48no—
549C22×C3—68no—
550C22×C3—128no—
551C22×C3C22×C4×D312yes—
552C22×C3C22×C4×D312yes—
553C22×C3C22×C4×D312yes—
554C22×C3C23×Dic312yes—
555C22×C3C23×Dic312yes—
556C22×C3C23×Dic312yes—
557C22×C3C24×D311yescharacteristic
558C22×C3C24×D311yescharacteristic
559C2×D3—28no—
560C2×D3—48no—
561C2×D3C23×Dic318yes—
562C3×C4—22no—
563C3×C4—22no—
564C3×C4—22no—
565C3×C4—22no—
566C3×C4—38no—
567C3×C4—68no—
568C3×C4C22×C4×D312yes—
569C3×C4C22×C4×D312yes—
570C3×C4C22×C4×D312yes—
571C3×C4C22×C4×D312yes—
572C3×C4C23×Dic312yes—
573C3×C4C23×Dic312yes—
574C3×C4C23×Dic312yes—
575C3×C4C23×Dic312yes—
576Dic3—28no—
577Dic3—68no—
578Dic3—68no—
579Dic3—128no—
580Dic3C23×Dic318yes—
581C32#342811yescharacteristic, complemented, Sylow
582C23—34no—
583C23—38no—
584C23—42no—
585C23—124no—
586C23C2×D3×Dic314yes—
587C23C22×D3211yescharacteristic
588C23C22×D3211yescharacteristic
589C23C22×D3211yescharacteristic
590Q8—38no—
591Q8—38no—
592D4—316no—
593D4—316no—
594D4—38no—
595D4—38no—
596C2×C4—38no—
597C2×C4—34no—
598C2×C4—316no—
599C2×C4—316no—
600C2×C4—38no—
601C2×C4—98no—
602C2×C4—124no—
603C2×C4—3616no—
604C2×C4—364no—
605C2×C4C2×D3×Dic314yes—
606C2×C4C2×D3×Dic314yes—
607C2×C4C2×D3×Dic314yes—
608C2×C4C2×D3×Dic314yes—
609C2×C4C2×D3×Dic314yes—
610C2×C4C2×D3×Dic314yes—
611C2×C4C22×D3211yescharacteristic
612C2×C4C22×D3211yescharacteristic
613C2×C4C22×D3211yescharacteristic
614C2×C4C22×D3211yescharacteristic
615C2×C3—24no—
616C2×C3—22no—
617C2×C3—22no—
618C2×C3—22no—
619C2×C3—22no—
620C2×C3—22no—
621C2×C3—22no—
622C2×C3—22no—
623C2×C3—21no—
624C2×C3—42no—
625C2×C3—42no—
626C2×C3—68no—
627C2×C3C23×C4×D311yescharacteristic
628C2×C3#596412yes—
629C2×C3#596412yes—
630C2×C3C24×Dic311yescharacteristic
631D3—28no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—38no—
636C22—44no—
637C22—68no—
638C22—128no—
639C22C22×D3×Dic312yes—
640C22C22×D3×Dic312yes—
641C22C22×D3×Dic312yes—
642C22C23×D3211yescharacteristic
643C4—38no—
644C4—68no—
645C4—188no—
646C4C22×D3×Dic312yes—
647C4C22×D3×Dic312yes—
648C4C22×D3×Dic312yes—
649C4C22×D3×Dic312yes—
650C3—21no—
651C3#8573111yescharacteristic, complemented
652C3#8726011yescharacteristic, complemented
653C2—22no—
654C2—22no—
655C2—22no—
656C2—68no—
657C2#1059666912yes—
658C2C23×D3×Dic311yescharacteristic
subgroupG/H
centerC2×C4C22×D32
commutatorC2×C32C24×C4
FrattiniC22C23×D32
FittingC23×C32×C4C22
socle, cosocleC22×C32C25
prime radicalC22×C3×#235C2
hypercenterC23×C4D32
hypocenterC32#3428
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C2×#64135C2semidirect
3. C2×C3×#926C2semidirect
4. #10595506C2semidirect
5. #10594992C2semidirect
6. #10594986C2semidirect
7. #10594982C2semidirect
8. #10594958C2semidirect
9. Dic3×#235C2semidirect
10. D3×#926C2semidirect
11. #10594818C2semidirect
16. C2×C3×#235C4semidirect
27. #64135C22semidirect
28. #64135C22semidirect
29. C2×C4⋊(C3⋊Dic3)C22semidirect
30. C2×C4×C3⋊Dic3C22semidirect
34. C3×#926C22semidirect
35. C3×#926C22semidirect
36. C2×C3×C4⋊Dic3C22semidirect
37. C2×C3×C4×Dic3C22semidirect
38. #67⋊Dic3C22semidirect
39. Dic3×#67C22semidirect
42. #63898C22semidirect
43. Dic3×D12C22semidirect
44. D3×C4⋊Dic3C22semidirect
45. C4×D3×Dic3C22semidirect
46. #63855C22semidirect
47. #63843C22semidirect
48. Dic3×Dic6C22semidirect
49. #63841C22semidirect
64. C2×#926D3semidirect
75. C22×C32×C4C2×C4semidirect
83. C2×C3×#67C2×C4semidirect
88. C3×#235C2×C4semidirect
89. C3×#235C2×C4semidirect
90. C3×#235C2×C4semidirect
91. C3×#235C2×C4semidirect
92. C2×C3×D12C2×C4semidirect
95. C2×C3×C4×D3C2×C4semidirect
98. C2×C3×Dic6C2×C4semidirect
131. C2×#235Dic3semidirect
175. #926C2×D3semidirect
176. #926C2×D3semidirect
181. C2×C4⋊Dic3C2×D3semidirect
186. C2×C4×Dic3C2×D3semidirect
272. C22×C3×C4C4×D3semidirect
273. C22×C3×C4C2×Dic3semidirect
286. C2×#67C2×Dic3semidirect
295. #235C2×Dic3semidirect
296. #235C2×Dic3semidirect
297. #235C2×Dic3semidirect
298. #235C2×Dic3semidirect
299. C2×D12C2×Dic3semidirect
303. C2×C4×D3C2×Dic3semidirect
306. C2×Dic6C2×Dic3semidirect
510. C22×C4D3×Dic3semidirect
581. C32#3428semidirect
651. C3#85731semidirect
652. C3#87260semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#2352
C2×#641352
C2×C3×#9262
#105955062
#105949922
#105949862
#105949822
#105949582
Dic3×#2352
D3×#9262
#105948182
#872603
#857313