Finite Group Databasebeta

← #11805462

Subgroups — #11805462

Order 1152.

1649 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×D12C211yesmaximal, characteristic
2C2×#63898C211yesmaximal, characteristic
3C2×#63898C211yesmaximal, characteristic
4C2×D3×Dic3⋊C4C212yesmaximal, complemented
5C4×#3750C211yesmaximal, characteristic, complemented
6C3×#4928C211yesmaximal, characteristic, complemented
7#10591373C212yesmaximal, complemented
8#10591369C212yesmaximal, complemented
9#10591359C211yesmaximal, characteristic, complemented
10#10591357C211yesmaximal, characteristic, complemented
11#10591277C212yesmaximal, complemented
12D4×Dic3⋊C4—31nomaximal
13#76202—31nomaximal
14C22×C3×D12C2211yescharacteristic
15C22×C3×C4×D3C2212yes—
16C22×D3×Dic3C2212yes—
17C22×D3×Dic3C2212yes—
18C2×C32×C42C2211yescharacteristic
19C2×#3750C2211yescharacteristic
20C2×#3750C2211yescharacteristic
21C2×C4×C3⋊Dic3C2211yescharacteristic
22C2×C4×C3⋊Dic3C2211yescharacteristic
23C2×C3×(C2×D3)⋊C4C2212yes—
24C2×C3×C4⋊Dic3C2211yescharacteristic
25C2×C3×C4⋊Dic3C2211yescharacteristic
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C2×C3×Dic3⋊C4C2212yes—
28C3×C4×D12—24no—
29C2×#3724C2212yes—
30C2×#3724C2212yes—
31C2×Dic3⋊Dic3C2212yes—
32C2×(C2×D3)⋊Dic3C2212yes—
33C2×(C2×D3)⋊Dic3C2212yes—
34#63898—24no—
35#63898C418yescomplemented
36D3×Dic3⋊C4—28no—
37#63658C2211yescharacteristic
38#63658C2211yescharacteristic
39C3×C3⋊#95C2212yes—
40#63579C2212yes—
41C2×C3×C4×D4—31no—
42C2×D4×Dic3—31no—
43C2×D4×Dic3—31no—
44C22×Dic3⋊C4—32no—
45C2×#893—31no—
46C2×#893—31no—
47C2×D3×C4⋊C4—32no—
48C2×C4×D12D311yescharacteristic
49C3×#389—31no—
50#5210—32no—
51#4989—32no—
52#4984—31no—
53#4975—31no—
54#4975—31no—
55#4972—31no—
56#4946—32no—
57#4942—32no—
58C4×Dic3⋊C4—31no—
59C4×Dic3⋊C4—31no—
60C4×Dic3⋊C4—61no—
61#4928D311yescharacteristic, complemented
62#4668—32no—
63#4667—32no—
64C23×C3×D3C2312yes—
65C22×C32×C4C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C3⋊Dic3C2311yescharacteristic
69C22×C3⋊Dic3C2311yescharacteristic
70C22×C3⋊Dic3C2311yescharacteristic
71C22×C3⋊Dic3C2311yescharacteristic
72C22×C3×Dic3C2312yes—
73C22×C3×Dic3C2312yes—
74C22×C3×Dic3C2312yes—
75C2×C3×D12C2×C414yes—
76C2×C3×D12D414yes—
77C2×C3×D12Q814yes—
78C2×C3×C4×D3—24no—
79C2×C3×C4×D3—24no—
80C2×C3×C4×D3—42no—
81C2×D3×Dic3—24no—
82C2×D3×Dic3—24no—
83C2×D3×Dic3—24no—
84C2×D3×Dic3—24no—
85C2×D3×Dic3—42no—
86C2×D3×Dic3C2×C418yescomplemented
87C32×C42—22no—
88#3750—22no—
89#3750D414yescomplemented
90C4×C3⋊Dic3—22no—
91C4×C3⋊Dic3C2×C414yescomplemented
92C3×(C2×D3)⋊C4—24no—
93C3×C4⋊Dic3—22no—
94C3×C4⋊Dic3—22no—
95C3×C4⋊Dic3C2×C414yescomplemented
96C3×Dic3⋊C4—24no—
97#3724—24no—
98#3724—42no—
99Dic3⋊Dic3—24no—
100(C2×D3)⋊Dic3—24no—
101(C2×D3)⋊Dic3C2×C418yescomplemented
102D4×C4⋊C4—91noSylow
103C22×C3×D4—31no—
104C23×C3×C4—32no—
105C23×Dic3—32no—
106C23×Dic3—32no—
107C22×D12C2×D311yescharacteristic
108C22×C4×D3—32no—
109C22×C4×D3—32no—
110C22×C4×D3C2×D312yes—
111C3×C4×D4—64no—
112C2×C3×C4⋊C4—31no—
113C2×C3×C4⋊C4—32no—
114C2×C3×C4⋊C4—31no—
115C2×C3×C4⋊C4—31no—
116C2×C3×C22⋊C4—32no—
117C2×C3×C42—21no—
118C2×C3×C42C2×D311yescharacteristic
119C2×C3×C42C2×D311yescharacteristic
120C2×#217—32no—
121C2×#217—32no—
122D4×Dic3—38no—
123D4×Dic3—64no—
124C2×(C2×D3)⋊C4—32no—
125C2×(C2×D3)⋊C4—32no—
126C2×(C2×D3)⋊C4C2×D312yes—
127C2×C4⋊Dic3—32no—
128C2×C4⋊Dic3C2×D311yescharacteristic
129C2×C4⋊Dic3C2×D311yescharacteristic
130C2×C4⋊Dic3C2×D311yescharacteristic
131C2×Dic3⋊C4—31no—
132C2×Dic3⋊C4—31no—
133C2×Dic3⋊C4—31no—
134C2×Dic3⋊C4—31no—
135C2×Dic3⋊C4—32no—
136C2×Dic3⋊C4—32no—
137C2×Dic3⋊C4—32no—
138C2×Dic3⋊C4—32no—
139C2×Dic3⋊C4—32no—
140C2×Dic3⋊C4—61no—
141C2×Dic3⋊C4—61no—
142C2×Dic3⋊C4—68no—
143C2×Dic3⋊C4C2×D312yes—
144C2×C4×Dic3—31no—
145C2×C4×Dic3—31no—
146C2×C4×Dic3—31no—
147C2×C4×Dic3—31no—
148C2×C4×Dic3—61no—
149C2×C4×Dic3—61no—
150#893—38no—
151#893—64no—
152D3×C4⋊C4—68no—
153C4×D12—24no—
154C3×#95—32no—
155C3⋊#95—31no—
156C3⋊#95—31no—
157C3⋊#95—31no—
158C3⋊#95—31no—
159C3⋊#95—32no—
160C3⋊#95—32no—
161C3⋊#95—61no—
162C3⋊#95—61no—
163C3⋊#95C2×D312yes—
164C23×C32C2411yescharacteristic
165C22×C3×D3—22no—
166C22×C3×D3—22no—
167C22×C3×D3—22no—
168C22×C3×D3—22no—
169C22×C3×D3C22×C414yes—
170C22×C3×D3C2×D414yes—
171C22×C3×D3C2×Q814yes—
172C2×C32×C4—21no—
173C2×C32×C4—21no—
174C2×C32×C4—21no—
175C2×C32×C4—21no—
176C2×C32×C4—21no—
177C2×C32×C4C22×C412yes—
178C2×C32×C4C2×D412yes—
179C2×C32×C4C2×D412yes—
180C2×C32×C4C2×Q812yes—
181C2×C3⋊Dic3—21no—
182C2×C3⋊Dic3—21no—
183C2×C3⋊Dic3—21no—
184C2×C3⋊Dic3—21no—
185C2×C3⋊Dic3—21no—
186C2×C3⋊Dic3—21no—
187C2×C3⋊Dic3—21no—
188C2×C3⋊Dic3C22×C412yes—
189C2×C3⋊Dic3C22×C412yes—
190C2×C3⋊Dic3C2×D412yes—
191C2×C3⋊Dic3C2×D412yes—
192C2×C3⋊Dic3#4112yes—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3C22×C414yes—
202C3×D12C4⋊C4116yescomplemented
203C3×C4×D3—48no—
204D3×Dic3—216no—
205D3×Dic3—48no—
206C2×C4×D4—31no—
207C2×C4×D4—91no—
208C2×C4×D4—91no—
209C22×C4⋊C4—92no—
210#389—31no—
211#389—91no—
212#385—92no—
213#385—92no—
214#384—91no—
215#380—92no—
216C4×C4⋊C4—91no—
217C24×C3—32no—
218C23×D3C22×D312yes—
219C2×C3×D4—34no—
220C2×C3×D4—34no—
221C2×C3×D4—34no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—32no—
226C22×C3×C4—32no—
227C22×C3×C4—32no—
228C22×C3×C4—64no—
229C22×C3×C4—64no—
230C22×C3×C4—122no—
231C22×C3×C4C22×D311yescharacteristic
232C22×C3×C4C22×D311yescharacteristic
233C22×C3×C4C22×D311yescharacteristic
234C22×C3×C4C22×D311yescharacteristic
235C22×C3×C4C22×D311yescharacteristic
236C22×C3×C4C22×D311yescharacteristic
237C22×Dic3—31no—
238C22×Dic3—31no—
239C22×Dic3—31no—
240C22×Dic3—31no—
241C22×Dic3—31no—
242C22×Dic3—31no—
243C22×Dic3—38no—
244C22×Dic3—31no—
245C22×Dic3—31no—
246C22×Dic3—61no—
247C22×Dic3—61no—
248C22×Dic3—61no—
249C22×Dic3—61no—
250C22×Dic3—64no—
251C22×Dic3—64no—
252C22×Dic3—64no—
253C22×Dic3—64no—
254C22×Dic3—122no—
255C22×Dic3C22×D312yes—
256C22×Dic3C22×D312yes—
257C22×Dic3C22×D312yes—
258C2×D12Dic614yes—
259C2×D12C4×D314yes—
260C2×D12#6714yes—
261C2×C4×D3—24no—
262C2×C4×D3—24no—
263C2×C4×D3—38no—
264C2×C4×D3—42no—
265C2×C4×D3—64no—
266C2×C4×D3—64no—
267C2×C4×D3—64no—
268C2×C4×D3—64no—
269C2×C4×D3—122no—
270C3×C4⋊C4—34no—
271C3×C4⋊C4—64no—
272C3×C4⋊C4—62no—
273C3×C4⋊C4—62no—
274C3×C22⋊C4—64no—
275C3×C42—22no—
276C3×C42—22no—
277C3×C42—42no—
278#217—38no—
279#217—64no—
280(C2×D3)⋊C4—24no—
281(C2×D3)⋊C4—38no—
282(C2×D3)⋊C4—64no—
283C4⋊Dic3—22no—
284C4⋊Dic3—22no—
285C4⋊Dic3—64no—
286C4⋊Dic3C4×D314yescomplemented
287Dic3⋊C4—24no—
288Dic3⋊C4—34no—
289Dic3⋊C4—34no—
290Dic3⋊C4—64no—
291Dic3⋊C4—64no—
292Dic3⋊C4—64no—
293Dic3⋊C4—64no—
294Dic3⋊C4—62no—
295Dic3⋊C4—62no—
296Dic3⋊C4—64no—
297Dic3⋊C4—122no—
298Dic3⋊C4—122no—
299C4×Dic3—34no—
300C4×Dic3—34no—
301C4×Dic3—64no—
302C4×Dic3—62no—
303C4×Dic3—62no—
304C4×Dic3—122no—
305C22×C32C23×C411yescharacteristic
306C22×C32C22×D411yescharacteristic
307C22×C32C22×D411yescharacteristic
308C22×C32C22×Q811yescharacteristic
309C22×C32C2×#4111yescharacteristic
310C22×C32H(5,𝔽2)11yescharacteristic
311C22×C322−1+411yescharacteristic
312C2×C3×D3—24no—
313C2×C3×D3—24no—
314C2×C3×D3—24no—
315C2×C3×D3—24no—
316C2×C3×D3—24no—
317C2×C3×D3—24no—
318C2×C3×D3C2×C4⋊C418yescomplemented
319C32×C4—22no—
320C32×C4—41no—
321C32×C4C2×C4⋊C414yescomplemented
322C3⋊Dic3—22no—
323C3⋊Dic3—22no—
324C3⋊Dic3—41no—
325C3⋊Dic3C4×D414yescomplemented
326C3×Dic3—24no—
327C3×Dic3—42no—
328C3×Dic3—42no—
329C22×D4—31no—
330C23×C4—32no—
331C23×C4—92no—
332C23×C4—92no—
333C4×D4—64no—
334C4×D4—98no—
335C4×D4—184no—
336C2×C4⋊C4—31no—
337C2×C4⋊C4—32no—
338C2×C4⋊C4—31no—
339C2×C4⋊C4—31no—
340C2×C4⋊C4—91no—
341C2×C4⋊C4—92no—
342C2×C4⋊C4—92no—
343C2×C4⋊C4—91no—
344C2×C4⋊C4—92no—
345C2×C4⋊C4—188no—
346C2×C22⋊C4—32no—
347C2×C22⋊C4—92no—
348C2×C22⋊C4—92no—
349C2×C42—91no—
350C2×C42—91no—
351C2×C42D3211yescharacteristic
352#95—32no—
353#95—92no—
354#95—91no—
355#95—91no—
356C23×C3—21no—
357C23×C3—34no—
358C23×C3—34no—
359C23×C3—34no—
360C23×C3—62no—
361C23×C3—62no—
362C23×C3—62no—
363C23×C3—62no—
364C23×C3C23×D311yescharacteristic
365C23×C3C23×D311yescharacteristic
366C22×D3—22no—
367C22×D3—22no—
368C22×D3—22no—
369C22×D3—22no—
370C22×D3C2×Dic614yes—
371C22×D3C2×C4×D314yes—
372C22×D3C2×#6714yes—
373C3×D4—316no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—22no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—34no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—62no—
395C2×C3×C4—62no—
396C2×C3×C4—62no—
397C2×C3×C4—62no—
398C2×C3×C4—62no—
399C2×C3×C4—62no—
400C2×C3×C4—62no—
401C2×C3×C4—62no—
402C2×C3×C4—128no—
403C2×C3×C4C2×Dic612yes—
404C2×C3×C4C2×C4×D312yes—
405C2×C3×C4C2×C4×D312yes—
406C2×C3×C4D3×D412yes—
407C2×C3×C4D3×D412yes—
408C2×C3×C4D3×D412yes—
409C2×C3×C4D3×Q812yes—
410C2×C3×C4C2×#6712yes—
411C2×Dic3—22no—
412C2×Dic3—22no—
413C2×Dic3—22no—
414C2×Dic3—22no—
415C2×Dic3—22no—
416C2×Dic3—22no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—32no—
420C2×Dic3—32no—
421C2×Dic3—32no—
422C2×Dic3—32no—
423C2×Dic3—32no—
424C2×Dic3—32no—
425C2×Dic3—32no—
426C2×Dic3—32no—
427C2×Dic3—32no—
428C2×Dic3—32no—
429C2×Dic3—62no—
430C2×Dic3—62no—
431C2×Dic3—62no—
432C2×Dic3—62no—
433C2×Dic3—62no—
434C2×Dic3—616no—
435C2×Dic3—61no—
436C2×Dic3—61no—
437C2×Dic3—61no—
438C2×Dic3—61no—
439C2×Dic3—61no—
440C2×Dic3—61no—
441C2×Dic3—61no—
442C2×Dic3—61no—
443C2×Dic3—62no—
444C2×Dic3—61no—
445C2×Dic3—61no—
446C2×Dic3—61no—
447C2×Dic3—61no—
448C2×Dic3—61no—
449C2×Dic3—61no—
450C2×Dic3—121no—
451C2×Dic3—121no—
452C2×Dic3—121no—
453C2×Dic3—121no—
454C2×Dic3—121no—
455C2×Dic3—121no—
456C2×Dic3—128no—
457C2×Dic3C2×C4×D314yes—
458D12Dic3⋊C4116yescomplemented
459C4×D3—48no—
460C4×D3—616no—
461C4×D3—128no—
462C2×C32C22×C4⋊C411yescharacteristic
463C2×C32C2×C4×D411yescharacteristic
464C2×C32#52011yescharacteristic
465C2×C32D4211yescharacteristic
466C2×C32#54711yescharacteristic
467C2×C32D4×Q811yescharacteristic
468C2×C32#55411yescharacteristic
469C3×D3—28no—
470C24—32no—
471C2×D4—34no—
472C2×D4—34no—
473C2×D4—34no—
474C22×C4—32no—
475C22×C4—32no—
476C22×C4—32no—
477C22×C4—64no—
478C22×C4—64no—
479C22×C4—98no—
480C22×C4—91no—
481C22×C4—91no—
482C22×C4—91no—
483C22×C4—91no—
484C22×C4—122no—
485C22×C4—184no—
486C22×C4—184no—
487C22×C4—184no—
488C22×C4—184no—
489C22×C4—362no—
490C22×C4C2×D3211yescharacteristic
491C22×C4C2×D3211yescharacteristic
492C22×C4C2×D3211yescharacteristic
493C4⋊C4—34no—
494C4⋊C4—64no—
495C4⋊C4—62no—
496C4⋊C4—62no—
497C4⋊C4—94no—
498C4⋊C4—182no—
499C4⋊C4—184no—
500C4⋊C4—184no—
501C4⋊C4—362no—
502C22⋊C4—64no—
503C22⋊C4—98no—
504C22⋊C4—184no—
505C42—22no—
506C42—94no—
507C42—182no—
508C22×C3—21no—
509C22×C3—21no—
510C22×C3—21no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—21no—
515C22×C3—38no—
516C22×C3—64no—
517C22×C3—64no—
518C22×C3—64no—
519C22×C3—64no—
520C22×C3—64no—
521C22×C3—64no—
522C22×C3C22×Dic611yescharacteristic
523C22×C3C22×C4×D311yescharacteristic
524C22×C3C22×C4×D311yescharacteristic
525C22×C3C2×D3×D411yescharacteristic
526C22×C3C2×D3×D411yescharacteristic
527C22×C3C2×D3×D411yescharacteristic
528C22×C3#100411yescharacteristic
529C22×C3C2×D3×Q811yescharacteristic
530C22×C3#100711yescharacteristic
531C22×C3D3×#4111yescharacteristic
532C22×C3D3×#4111yescharacteristic
533C22×C3#100911yescharacteristic
534C22×C3#101011yescharacteristic
535C22×C3C22×#6711yescharacteristic
536C2×D3—24no—
537C2×D3—24no—
538C2×D3—24no—
539C2×D3—24no—
540C2×D3—24no—
541C2×D3—24no—
542C2×D3C2×Dic3⋊C418yescomplemented
543C3×C4—22no—
544C3×C4—22no—
545C3×C4—24no—
546C3×C4—42no—
547C3×C4—42no—
548C3×C4—41no—
549C3×C4—41no—
550C3×C4—64no—
551C3×C4—122no—
552C3×C4—122no—
553C3×C4D3×C4⋊C414yescomplemented
554C3×C4C2×Dic3⋊C414yescomplemented
555Dic3—24no—
556Dic3—34no—
557Dic3—34no—
558Dic3—42no—
559Dic3—42no—
560Dic3—64no—
561Dic3—62no—
562Dic3—62no—
563Dic3—62no—
564Dic3—62no—
565Dic3—122no—
566Dic3—122no—
567Dic3—122no—
568Dic3—121no—
569Dic3—121no—
570C32D4×C4⋊C411yescharacteristic, complemented, Sylow
571C23—34no—
572C23—34no—
573C23—34no—
574C23—62no—
575C23—62no—
576C23—62no—
577C23—62no—
578C23C22×D3211yescharacteristic
579D4—316no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—34no—
586C2×C4—62no—
587C2×C4—62no—
588C2×C4—62no—
589C2×C4—62no—
590C2×C4—62no—
591C2×C4—62no—
592C2×C4—62no—
593C2×C4—62no—
594C2×C4—92no—
595C2×C4—92no—
596C2×C4—92no—
597C2×C4—92no—
598C2×C4—92no—
599C2×C4—128no—
600C2×C4—1816no—
601C2×C4—181no—
602C2×C4—181no—
603C2×C4—181no—
604C2×C4—181no—
605C2×C4—181no—
606C2×C4—181no—
607C2×C4—181no—
608C2×C4—368no—
609C2×C4D3×Dic612yes—
610C2×C4C4×D3212yes—
611C2×C4#380212yes—
612C2×C4D3×#6712yes—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—21no—
619C2×C3—21no—
620C2×C3—68no—
621C2×C3C2×D3×C4⋊C411yescharacteristic
622C2×C3D4×Dic611yescharacteristic
623C2×C3#553911yescharacteristic
624C2×C3C4×D3×D411yescharacteristic
625C2×C3C4×D3×D411yescharacteristic
626C2×C3#554611yescharacteristic
627C2×C3#557411yescharacteristic
628C2×C3#560911yescharacteristic
629C2×C3#563111yescharacteristic
630C2×C3#569011yescharacteristic
631C2×C3#572711yescharacteristic
632C2×C3C22×Dic3⋊C411yescharacteristic
633C2×C3D4×#6711yescharacteristic
634C2×C3#582411yescharacteristic
635D3—28no—
636C22—38no—
637C22—64no—
638C22—64no—
639C22—64no—
640C22—64no—
641C22—64no—
642C22—64no—
643C22C2×D3×Dic611yescharacteristic
644C22#6429711yescharacteristic
645C22C2×C4×D3211yescharacteristic
646C22C2×#380211yescharacteristic
647C22#6430611yescharacteristic
648C22#6430711yescharacteristic
649C22C2×D3×#6711yescharacteristic
650C4—22no—
651C4—41no—
652C4—64no—
653C4—94no—
654C4—122no—
655C4—122no—
656C4—182no—
657C4—182no—
658C4—361no—
659C4D3×Dic3⋊C414yescomplemented
660C3—21no—
661C3#7620211yescharacteristic, complemented
662C3D4×Dic3⋊C411yescharacteristic, complemented
663C2—68no—
664C2#1059388911yescharacteristic
665C2#1059390411yescharacteristic
666C2#1059394111yescharacteristic
667C2C4×#380211yescharacteristic
668C2C2×D3×Dic3⋊C411yescharacteristic
669C2#1059489011yescharacteristic
670C2#1059506911yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC2×C32×C42C22
socle, cosocleC23×C32C24
prime radicalC22×C3×D12C22
hypercenterC2×C42D32
hypocenterC32D4×C4⋊C4
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
4. C2×D3×Dic3⋊C4C2semidirect
5. C4×#3750C2semidirect
6. C3×#4928C2semidirect
7. #10591373C2semidirect
8. #10591369C2semidirect
9. #10591359C2semidirect
10. #10591357C2semidirect
11. #10591277C2semidirect
35. #63898C4semidirect
61. #4928D3semidirect
86. C2×D3×Dic3C2×C4semidirect
89. #3750D4semidirect
91. C4×C3⋊Dic3C2×C4semidirect
95. C3×C4⋊Dic3C2×C4semidirect
101. (C2×D3)⋊Dic3C2×C4semidirect
202. C3×D12C4⋊C4semidirect
286. C4⋊Dic3C4×D3semidirect
318. C2×C3×D3C2×C4⋊C4semidirect
321. C32×C4C2×C4⋊C4semidirect
325. C3⋊Dic3C4×D4semidirect
458. D12Dic3⋊C4semidirect
542. C2×D3C2×Dic3⋊C4semidirect
553. C3×C4D3×C4⋊C4semidirect
554. C3×C4C2×Dic3⋊C4semidirect
570. C32D4×C4⋊C4semidirect
659. C4D3×Dic3⋊C4semidirect
661. C3#76202semidirect
662. C3D4×Dic3⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×D122
C2×#638982
C2×D3×Dic3⋊C42
C4×#37502
C3×#49282
#105913732
#105913692
#105913592
#105913572
#105912772
D4×Dic3⋊C43
#762023