Finite Group Databasebeta

← #11802903

Subgroups — #11802903

Order 1152.

1749 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×C22⋊C4C211yesmaximal, characteristic
2C2×D3×#217C211yesmaximal, characteristic
3C22×(C2×D3)⋊Dic3C211yesmaximal, characteristic
4#10592649C211yesmaximal, characteristic, complemented
5C3×#4950C211yesmaximal, characteristic, complemented
6#10591719C211yesmaximal, characteristic, complemented
7#10591718C211yesmaximal, characteristic, complemented
8#10591379C212yesmaximal, complemented
9#10591377C212yesmaximal, complemented
10#10591313C212yesmaximal, complemented
11#10591295C212yesmaximal, complemented
12#82094—31nomaximal
13#74591—31nomaximal
14C24×C3×D3C2211yescharacteristic
15C23×C3⋊Dic3C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C22×C3×C4×D3C2212yes—
18C22×D3×Dic3C2211yescharacteristic
19C22×D3×Dic3C2211yescharacteristic
20C2×C32×C22⋊C4C2211yescharacteristic
21C2×#3757C2211yescharacteristic
22C2×C4⋊(C3⋊Dic3)C2212yescomplemented
23C2×C3×#217C2211yescharacteristic
24C2×C3×#217C2211yescharacteristic
25C2×C3×(C2×D3)⋊C4C2212yes—
26C2×C3×C4⋊Dic3C2212yescomplemented
27C3×D3×C22⋊C4C418yescomplemented
28D3×#217—24no—
29C2×Dic3⋊Dic3C2212yescomplemented
30C2×Dic3⋊Dic3C2212yescomplemented
31C2×(C2×D3)⋊Dic3—24no—
32C2×(C2×D3)⋊Dic3C2211yescharacteristic
33C2×(C2×D3)⋊Dic3C2212yes—
34C2×(C2×D3)⋊Dic3C2211yescharacteristic
35C2×(C2×D3)⋊Dic3C2212yes—
36#63658C2212yescomplemented
37C3×C3⋊#95C2212yescomplemented
38#63579C2212yescomplemented
39#63579C2212yescomplemented
40C22×C3×C22⋊C4—31no—
41C22×#217—31no—
42C22×#217—31no—
43C22×(C2×D3)⋊C4—31no—
44C2×D3×C22⋊C4—31no—
45C2×D3×C22⋊C4D311yescharacteristic
46C3×#385—31no—
47#5212—32no—
48#5212—32no—
49#5210—31no—
50#4989—32no—
51#4987—32no—
52#4950—31no—
53#4950—31no—
54#4950—31no—
55#4950—31no—
56#4950—32no—
57#4950—32no—
58#4950—61no—
59#4950D311yescharacteristic, complemented
60#4946—31no—
61#4668—32no—
62#4667—32no—
63C24×C32C2311yescharacteristic
64C23×C3×D3—42no—
65C23×C3×D3—42no—
66C23×C3×D3C2×C414yes—
67C23×C3×D3D414yes—
68C23×C3×D3Q814yes—
69C23×C3×D3C2311yescharacteristic
70C23×C3×D3C2311yescharacteristic
71C22×C32×C4C2312yes—
72C22×C3⋊Dic3—22no—
73C22×C3⋊Dic3—42no—
74C22×C3⋊Dic3C2311yescharacteristic
75C22×C3⋊Dic3C2311yescharacteristic
76C22×C3⋊Dic3C2312yes—
77C22×C3×Dic3—22no—
78C22×C3×Dic3—42no—
79C22×C3×Dic3C2311yescharacteristic
80C22×C3×Dic3C2312yes—
81C22×C3×Dic3C2311yescharacteristic
82C22×C3×Dic3C2312yes—
83C2×C3×C4×D3—42no—
84C2×C3×C4×D3—42no—
85C2×C3×C4×D3C2×C418yescomplemented
86C2×D3×Dic3—22no—
87C2×D3×Dic3—22no—
88C2×D3×Dic3—42no—
89C2×D3×Dic3—42no—
90C32×C22⋊C4C2×C414yescomplemented
91#3757—22no—
92C4⋊(C3⋊Dic3)—42no—
93C3×#217—22no—
94C3×#217C2×C414yescomplemented
95C3×(C2×D3)⋊C4C2×C418yescomplemented
96C3×C4⋊Dic3—42no—
97Dic3⋊Dic3—42no—
98Dic3⋊Dic3—42no—
99(C2×D3)⋊Dic3—24no—
100(C2×D3)⋊Dic3—24no—
101(C2×D3)⋊Dic3—22no—
102(C2×D3)⋊Dic3—22no—
103#2315—91noSylow
104C25×C3—31no—
105C24×D3C2×D311yescharacteristic
106C23×C3×C4—32no—
107C23×C3×C4—31no—
108C23×Dic3—31no—
109C23×Dic3—31no—
110C23×Dic3—31no—
111C23×Dic3—31no—
112C23×Dic3—61no—
113C23×Dic3C2×D311yescharacteristic
114C22×C4×D3—31no—
115C22×C4×D3—31no—
116C22×C4×D3C2×D312yes—
117C2×C3×C4⋊C4—32no—
118C2×C3×C22⋊C4—21no—
119C2×C3×C22⋊C4—31no—
120C2×C3×C22⋊C4—32no—
121C2×C3×C22⋊C4—38no—
122C2×C3×C22⋊C4—31no—
123C2×C3×C22⋊C4C2×D311yescharacteristic
124C2×C3×C22⋊C4C2×D311yescharacteristic
125C2×#217—31no—
126C2×#217—31no—
127C2×#217—32no—
128C2×#217—31no—
129C2×#217—32no—
130C2×#217—31no—
131C2×#217—61no—
132C2×#217—64no—
133C2×#217—64no—
134C2×#217C2×D311yescharacteristic
135C2×#217C2×D311yescharacteristic
136C2×(C2×D3)⋊C4—31no—
137C2×(C2×D3)⋊C4—32no—
138C2×(C2×D3)⋊C4—32no—
139C2×(C2×D3)⋊C4—31no—
140C2×(C2×D3)⋊C4—64no—
141C2×(C2×D3)⋊C4C2×D312yes—
142C2×C4⋊Dic3—32no—
143C2×C4⋊Dic3—32no—
144C2×C4⋊Dic3—32no—
145C2×C4⋊Dic3—32no—
146C2×C4⋊Dic3—62no—
147C2×C4⋊Dic3C2×D312yescomplemented
148C2×Dic3⋊C4—32no—
149C2×Dic3⋊C4—32no—
150D3×C22⋊C4—64no—
151D3×C22⋊C4Dic318yescomplemented
152C3×#95—32no—
153C3⋊#95—32no—
154C3⋊#95—32no—
155C3⋊#95—32no—
156C3⋊#95—32no—
157C3⋊#95—32no—
158C3⋊#95—32no—
159C3⋊#95—62no—
160C3⋊#95C2×D312yescomplemented
161C23×C32—22no—
162C23×C32—22no—
163C23×C32C22×C412yes—
164C23×C32C2×D412yes—
165C23×C32C2×Q812yes—
166C23×C32C2411yescharacteristic
167C22×C3×D3—22no—
168C22×C3×D3—22no—
169C22×C3×D3—22no—
170C22×C3×D3—22no—
171C22×C3×D3—48no—
172C22×C3×D3—44no—
173C22×C3×D3—44no—
174C22×C3×D3—48no—
175C22×C3×D3C4⋊C4116yescomplemented
176C22×C3×D3C22×C412yes—
177C22×C3×D3C22×C412yes—
178C22×C3×D3C2×D412yes—
179C22×C3×D3C2×D412yes—
180C22×C3×D3C2×Q812yes—
181C22×C3×D3C2×Q812yes—
182C2×C32×C4—22no—
183C2×C32×C4—22no—
184C2×C32×C4C22×C414yes—
185C2×C3⋊Dic3—22no—
186C2×C3⋊Dic3—22no—
187C2×C3⋊Dic3—21no—
188C2×C3⋊Dic3—21no—
189C2×C3⋊Dic3—22no—
190C2×C3⋊Dic3—22no—
191C2×C3⋊Dic3—22no—
192C2×C3⋊Dic3—44no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—21no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—44no—
203C2×C3×Dic3C22×C414yes—
204C3×C4×D3—48no—
205D3×Dic3—44no—
206D3×Dic3—44no—
207C22×C22⋊C4—31no—
208C22×C22⋊C4—91no—
209C22×C22⋊C4—91no—
210#385—31no—
211#385—92no—
212#385—91no—
213#385—92no—
214#385—91no—
215#385—91no—
216#380—92no—
217#380—92no—
218C24×C3—21no—
219C24×C3—31no—
220C24×C3—31no—
221C24×C3—34no—
222C24×C3—34no—
223C24×C3—34no—
224C24×C3—122no—
225C24×C3—122no—
226C24×C3C22×D311yescharacteristic
227C24×C3C22×D311yescharacteristic
228C23×D3—42no—
229C23×D3—42no—
230C23×D3Dic614yes—
231C23×D3D1214yes—
232C23×D3C2×Dic314yes—
233C23×D3C22×D311yescharacteristic
234C23×D3C22×D311yescharacteristic
235C22×C3×C4—22no—
236C22×C3×C4—32no—
237C22×C3×C4—38no—
238C22×C3×C4—31no—
239C22×C3×C4—32no—
240C22×C3×C4—31no—
241C22×C3×C4—62no—
242C22×C3×C4—122no—
243C22×C3×C4—122no—
244C22×C3×C4—122no—
245C22×C3×C4C22×D312yes—
246C22×C3×C4C22×D312yes—
247C22×Dic3—22no—
248C22×Dic3—31no—
249C22×Dic3—32no—
250C22×Dic3—31no—
251C22×Dic3—31no—
252C22×Dic3—32no—
253C22×Dic3—31no—
254C22×Dic3—42no—
255C22×Dic3—62no—
256C22×Dic3—61no—
257C22×Dic3—61no—
258C22×Dic3—62no—
259C22×Dic3—62no—
260C22×Dic3—62no—
261C22×Dic3—62no—
262C22×Dic3—122no—
263C22×Dic3—122no—
264C22×Dic3—122no—
265C22×Dic3—122no—
266C22×Dic3—122no—
267C22×Dic3—124no—
268C22×Dic3C22×D311yescharacteristic
269C22×Dic3C22×D312yes—
270C22×Dic3C22×D311yescharacteristic
271C22×Dic3C22×D312yes—
272C2×C4×D3—42no—
273C2×C4×D3—42no—
274C2×C4×D3—62no—
275C2×C4×D3—62no—
276C2×C4×D3—122no—
277C2×C4×D3—122no—
278C2×C4×D3C2×Dic318yescomplemented
279C3×C4⋊C4—122no—
280C3×C22⋊C4—24no—
281C3×C22⋊C4—34no—
282C3×C22⋊C4—38no—
283C3×C22⋊C4—62no—
284C3×C22⋊C4C4×D314yescomplemented
285C3×C22⋊C4C2×Dic314yescomplemented
286#217—22no—
287#217—62no—
288#217—62no—
289#217—64no—
290#217—64no—
291#217—62no—
292#217—62no—
293#217—122no—
294#217C2×Dic314yescomplemented
295(C2×D3)⋊C4—62no—
296(C2×D3)⋊C4—62no—
297(C2×D3)⋊C4—64no—
298(C2×D3)⋊C4—64no—
299(C2×D3)⋊C4C2×Dic318yescomplemented
300C4⋊Dic3—42no—
301C4⋊Dic3—122no—
302C4⋊Dic3—122no—
303C4⋊Dic3—122no—
304C4⋊Dic3—122no—
305C4⋊Dic3—124no—
306Dic3⋊C4—122no—
307Dic3⋊C4—122no—
308C22×C32—24no—
309C22×C32—22no—
310C22×C32—22no—
311C22×C32—24no—
312C22×C32C2×C4⋊C414yes—
313C22×C32C23×C411yescharacteristic
314C22×C32C22×D411yescharacteristic
315C22×C32C22×Q811yescharacteristic
316C22×C32H(5,𝔽2)12yes—
317C22×C32H(5,𝔽2)12yes—
318C2×C3×D3—24no—
319C2×C3×D3—24no—
320C2×C3×D3—22no—
321C2×C3×D3—22no—
322C2×C3×D3—22no—
323C2×C3×D3—22no—
324C2×C3×D3—24no—
325C2×C3×D3—24no—
326C2×C3×D3—416no—
327C2×C3×D3C2×C4⋊C414yes—
328C2×C3×D3C2×C4⋊C414yes—
329C32×C4—24no—
330C3⋊Dic3—42no—
331C3⋊Dic3—41no—
332C3⋊Dic3—41no—
333C3×Dic3—24no—
334C3×Dic3—41no—
335C3×Dic3—41no—
336C3×Dic3—42no—
337C25—31no—
338C23×C4—32no—
339C23×C4—31no—
340C23×C4—91no—
341C23×C4—91no—
342C23×C4—91no—
343C2×C4⋊C4—32no—
344C2×C4⋊C4—92no—
345C2×C4⋊C4—92no—
346C2×C4⋊C4—92no—
347C2×C22⋊C4—31no—
348C2×C22⋊C4—32no—
349C2×C22⋊C4—38no—
350C2×C22⋊C4—31no—
351C2×C22⋊C4—91no—
352C2×C22⋊C4—92no—
353C2×C22⋊C4—91no—
354C2×C22⋊C4—92no—
355C2×C22⋊C4—91no—
356C2×C22⋊C4—184no—
357C2×C22⋊C4—184no—
358C2×C22⋊C4D3211yescharacteristic
359#95—32no—
360#95—92no—
361#95—92no—
362#95—92no—
363C23×C3—22no—
364C23×C3—22no—
365C23×C3—22no—
366C23×C3—22no—
367C23×C3—21no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—32no—
372C23×C3—32no—
373C23×C3—32no—
374C23×C3—32no—
375C23×C3—32no—
376C23×C3—32no—
377C23×C3—316no—
378C23×C3—42no—
379C23×C3—42no—
380C23×C3—62no—
381C23×C3—62no—
382C23×C3—62no—
383C23×C3—62no—
384C23×C3—128no—
385C23×C3—124no—
386C23×C3—128no—
387C23×C3—124no—
388C23×C3C2×Dic612yes—
389C23×C3C2×C4×D312yes—
390C23×C3C2×D1212yes—
391C23×C3D3×D412yes—
392C23×C3D3×Q812yes—
393C23×C3C22×Dic312yes—
394C23×C3C23×D311yescharacteristic
395C23×C3C23×D311yescharacteristic
396C22×D3—22no—
397C22×D3—22no—
398C22×D3—22no—
399C22×D3—22no—
400C22×D3—48no—
401C22×D3—44no—
402C22×D3—44no—
403C22×D3—48no—
404C22×D3C4⋊Dic3116yescomplemented
405C22×D3C2×Dic612yes—
406C22×D3C2×Dic612yes—
407C22×D3C2×D1212yes—
408C22×D3C2×D1212yes—
409C22×D3C22×Dic312yes—
410C22×D3C22×Dic312yes—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—24no—
416C2×C3×C4—34no—
417C2×C3×C4—42no—
418C2×C3×C4—42no—
419C2×C3×C4—62no—
420C2×C3×C4—62no—
421C2×C3×C4—62no—
422C2×C3×C4—61no—
423C2×C3×C4—61no—
424C2×C3×C4—62no—
425C2×C3×C4—62no—
426C2×C3×C4—62no—
427C2×C3×C4—62no—
428C2×C3×C4—128no—
429C2×C3×C4—124no—
430C2×C3×C4C2×C4×D314yes—
431C2×C3×C4C22×Dic314yes—
432C2×Dic3—22no—
433C2×Dic3—22no—
434C2×Dic3—21no—
435C2×Dic3—21no—
436C2×Dic3—22no—
437C2×Dic3—22no—
438C2×Dic3—22no—
439C2×Dic3—22no—
440C2×Dic3—22no—
441C2×Dic3—44no—
442C2×Dic3—64no—
443C2×Dic3—62no—
444C2×Dic3—61no—
445C2×Dic3—61no—
446C2×Dic3—62no—
447C2×Dic3—61no—
448C2×Dic3—61no—
449C2×Dic3—62no—
450C2×Dic3—62no—
451C2×Dic3—62no—
452C2×Dic3—62no—
453C2×Dic3—62no—
454C2×Dic3—62no—
455C2×Dic3—62no—
456C2×Dic3—62no—
457C2×Dic3—122no—
458C2×Dic3—122no—
459C2×Dic3—122no—
460C2×Dic3—121no—
461C2×Dic3—121no—
462C2×Dic3—122no—
463C2×Dic3—124no—
464C2×Dic3—124no—
465C2×Dic3—124no—
466C2×Dic3—124no—
467C2×Dic3—128no—
468C2×Dic3C22×Dic314yes—
469C4×D3—48no—
470C4×D3—124no—
471C4×D3—124no—
472C2×C32—24no—
473C2×C32C22×C4⋊C411yescharacteristic
474C2×C32#51812yes—
475C2×C32#53411yescharacteristic
476C2×C32#53411yescharacteristic
477C2×C32#54312yes—
478C3×D3—24no—
479C3×D3—24no—
480C24—31no—
481C24—31no—
482C24—34no—
483C24—34no—
484C24—34no—
485C24—122no—
486C24—122no—
487C24C2×D3211yescharacteristic
488C22×C4—32no—
489C22×C4—38no—
490C22×C4—31no—
491C22×C4—32no—
492C22×C4—31no—
493C22×C4—62no—
494C22×C4—91no—
495C22×C4—92no—
496C22×C4—91no—
497C22×C4—122no—
498C22×C4—122no—
499C22×C4—122no—
500C22×C4—182no—
501C22×C4—182no—
502C22×C4—182no—
503C22×C4—362no—
504C22×C4—362no—
505C22×C4—362no—
506C22×C4C2×D3212yes—
507C4⋊C4—122no—
508C4⋊C4—362no—
509C4⋊C4—362no—
510C4⋊C4—362no—
511C22⋊C4—34no—
512C22⋊C4—38no—
513C22⋊C4—62no—
514C22⋊C4—182no—
515C22⋊C4—182no—
516C22⋊C4—184no—
517C22⋊C4—184no—
518C22⋊C4—182no—
519C22⋊C4D3×Dic314yescomplemented
520C22×C3—24no—
521C22×C3—22no—
522C22×C3—24no—
523C22×C3—22no—
524C22×C3—22no—
525C22×C3—24no—
526C22×C3—24no—
527C22×C3—22no—
528C22×C3—21no—
529C22×C3—21no—
530C22×C3—22no—
531C22×C3—22no—
532C22×C3—21no—
533C22×C3—24no—
534C22×C3—34no—
535C22×C3—34no—
536C22×C3—42no—
537C22×C3—44no—
538C22×C3—44no—
539C22×C3—42no—
540C22×C3—64no—
541C22×C3—64no—
542C22×C3—62no—
543C22×C3—62no—
544C22×C3—64no—
545C22×C3—64no—
546C22×C3—62no—
547C22×C3—62no—
548C22×C3—1216no—
549C22×C3D3×C4⋊C414yes—
550C22×C3C2×C4⋊Dic314yes—
551C22×C3C22×Dic611yescharacteristic
552C22×C3C22×C4×D311yescharacteristic
553C22×C3C22×D1211yescharacteristic
554C22×C3C2×D3×D411yescharacteristic
555C22×C3#100412yes—
556C22×C3#100412yes—
557C22×C3#100412yes—
558C22×C3C2×D3×Q811yescharacteristic
559C22×C3#100912yes—
560C22×C3C23×Dic311yescharacteristic
561C2×D3—24no—
562C2×D3—24no—
563C2×D3—22no—
564C2×D3—22no—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—24no—
568C2×D3—24no—
569C2×D3—416no—
570C2×D3C2×C4⋊Dic314yes—
571C2×D3C2×C4⋊Dic314yes—
572C3×C4—24no—
573C3×C4—24no—
574C3×C4—44no—
575C3×C4—64no—
576C3×C4—121no—
577C3×C4—121no—
578C3×C4—122no—
579Dic3—24no—
580Dic3—41no—
581Dic3—42no—
582Dic3—41no—
583Dic3—124no—
584Dic3—122no—
585Dic3—121no—
586Dic3—121no—
587Dic3—121no—
588Dic3—122no—
589Dic3—121no—
590Dic3—241no—
591Dic3—241no—
592C32#231511yescharacteristic, complemented, Sylow
593C23—22no—
594C23—22no—
595C23—32no—
596C23—32no—
597C23—32no—
598C23—32no—
599C23—32no—
600C23—32no—
601C23—316no—
602C23—62no—
603C23—62no—
604C23—62no—
605C23—62no—
606C23—128no—
607C23—128no—
608C23—124no—
609C23—124no—
610C23D3×Dic612yes—
611C23D3×D1212yes—
612C23C2×D3×Dic312yes—
613C23C22×D3211yescharacteristic
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—34no—
617C2×C4—62no—
618C2×C4—62no—
619C2×C4—61no—
620C2×C4—61no—
621C2×C4—62no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—128no—
627C2×C4—124no—
628C2×C4—181no—
629C2×C4—182no—
630C2×C4—181no—
631C2×C4—182no—
632C2×C4—182no—
633C2×C4—182no—
634C2×C4—182no—
635C2×C4—364no—
636C2×C4—364no—
637C2×C4—364no—
638C2×C4C2×D3×Dic314yes—
639C2×C3—24no—
640C2×C3—24no—
641C2×C3—21no—
642C2×C3—22no—
643C2×C3—22no—
644C2×C3—21no—
645C2×C3—21no—
646C2×C3—44no—
647C2×C3—64no—
648C2×C3—64no—
649C2×C3#548312yes—
650C2×C3#549311yescharacteristic
651C2×C3#549311yescharacteristic
652C2×C3C2×D3×C4⋊C411yescharacteristic
653C2×C3#554512yes—
654C2×C3#558911yescharacteristic
655C2×C3#563412yes—
656C2×C3#565311yescharacteristic
657C2×C3C22×C4⋊Dic311yescharacteristic
658C2×C3#579812yes—
659D3—24no—
660D3—24no—
661C22—24no—
662C22—24no—
663C22—22no—
664C22—22no—
665C22—34no—
666C22—34no—
667C22—64no—
668C22—64no—
669C22—64no—
670C22—64no—
671C22—62no—
672C22—62no—
673C22—62no—
674C22—62no—
675C22—1216no—
676C22D3×C4⋊Dic314yes—
677C22C2×D3×Dic611yescharacteristic
678C22C2×D3×D1211yescharacteristic
679C22#6431312yes—
680C22#6431412yes—
681C22C22×D3×Dic311yescharacteristic
682C4—24no—
683C4—64no—
684C4—122no—
685C4—121no—
686C4—121no—
687C4—361no—
688C4—362no—
689C4—361no—
690C3—21no—
691C3#7459111yescharacteristic, complemented
692C3#8209411yescharacteristic, complemented
693C2—24no—
694C2—64no—
695C2—64no—
696C2#1059417012yes—
697C2#1059429011yescharacteristic
698C2#1059429111yescharacteristic
699C2C2×D3×C4⋊Dic311yescharacteristic
700C2#1059521512yes—
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC2×C32×C22⋊C4C22
socle, cosocleC23×C32C24
prime radicalC24×C3×D3C22
hypercenterC2×C22⋊C4D32
hypocenterC32#2315
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
4. #10592649C2semidirect
5. C3×#4950C2semidirect
6. #10591719C2semidirect
7. #10591718C2semidirect
8. #10591379C2semidirect
9. #10591377C2semidirect
10. #10591313C2semidirect
11. #10591295C2semidirect
22. C2×C4⋊(C3⋊Dic3)C22semidirect
26. C2×C3×C4⋊Dic3C22semidirect
27. C3×D3×C22⋊C4C4semidirect
29. C2×Dic3⋊Dic3C22semidirect
30. C2×Dic3⋊Dic3C22semidirect
36. #63658C22semidirect
37. C3×C3⋊#95C22semidirect
38. #63579C22semidirect
39. #63579C22semidirect
59. #4950D3semidirect
85. C2×C3×C4×D3C2×C4semidirect
90. C32×C22⋊C4C2×C4semidirect
94. C3×#217C2×C4semidirect
95. C3×(C2×D3)⋊C4C2×C4semidirect
147. C2×C4⋊Dic3C2×D3semidirect
151. D3×C22⋊C4Dic3semidirect
160. C3⋊#95C2×D3semidirect
175. C22×C3×D3C4⋊C4semidirect
278. C2×C4×D3C2×Dic3semidirect
284. C3×C22⋊C4C4×D3semidirect
285. C3×C22⋊C4C2×Dic3semidirect
294. #217C2×Dic3semidirect
299. (C2×D3)⋊C4C2×Dic3semidirect
404. C22×D3C4⋊Dic3semidirect
519. C22⋊C4D3×Dic3semidirect
592. C32#2315semidirect
691. C3#74591semidirect
692. C3#82094semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×C22⋊C42
C2×D3×#2172
C22×(C2×D3)⋊Dic32
#105926492
C3×#49502
#105917192
#105917182
#105913792
#105913772
#105913132
#105912952
#820943
#745913