Finite Group Databasebeta

← #13176538

Subgroups — #13176538

Order 1728.

2924 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89026C211yesmaximal, characteristic, complemented
2C2×#89026C212yesmaximal, complemented
3C2×C4×D3×C3⋊D3C211yesmaximal, characteristic, complemented
4C4⋊C4×C3⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
5C3×#64104C211yesmaximal, characteristic, complemented
6C32×#895C211yesmaximal, characteristic, complemented
7#11723539C212yesmaximal, complemented
8#11723522C211yesmaximal, characteristic, complemented
9#11723519C212yesmaximal, complemented
10#11723515C211yesmaximal, characteristic, complemented
11#11723474C212yesmaximal, complemented
12C3⋊D3×#121—31nomaximal
13#10594612—34nomaximal
14C22×D3×C3⋊D3C2212yes—
15C22×D3×C3⋊D3C2211yescharacteristic
16C2×C4×C3⋊(C3⋊D3)C2212yes—
17C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
18C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
19C2×C3×C4⋊(C3⋊D3)C2212yescomplemented
20C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
21C2×C32×D12C2211yescharacteristic, complemented
22C2×C32×D12C2212yescomplemented
23C2×C32×C4×D3C2211yescharacteristic, complemented
24C2×#6290C2212yescomplemented
25C2×#6290C2212yescomplemented
26C2×#6290C2212yescomplemented
27C2×#6289C2211yescharacteristic
28C2×Dic3×C3⋊D3C2211yescharacteristic, complemented
29C2×D3×C3⋊Dic3C2211yescharacteristic, complemented
30#89026—28no—
31#89026—24no—
32C4×D3×C3⋊D3—24no—
33C33×C4⋊C4C2211yescharacteristic, complemented
34C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic, complemented
35#88857C2212yescomplemented
36C3×#3752C2212yescomplemented
37C32×(C2×D3)⋊C4C2212yescomplemented
38#88803C2212yescomplemented
39(C2×D3)⋊(C3⋊Dic3)C2212yescomplemented
40C2×D4×C3⋊D3—32no—
41C2×D4×C3⋊D3—31no—
42C22×C4×C3⋊D3—31no—
43C2×#3802—38no—
44C2×#3802—34no—
45C2×C4×D32—34no—
46C32×#121—31no—
47#64148—32no—
48#64147—31no—
49#64139—31no—
50#64104D311yescharacteristic, complemented
51C4⋊C4×C3⋊D3—31no—
52C4⋊C4×C3⋊D3—34no—
53C4⋊C4×C3⋊D3—64no—
54#64093—32no—
55C22⋊C4×C3⋊D3—32no—
56C3×#895—34no—
57C3×#895D314yescomplemented
58#63921—38no—
59#63908—34no—
60#63908—34no—
61#63885—38no—
62#63885—38no—
63C22×C3⋊(C3⋊D3)C2311yescharacteristic
64C22×C3×C3⋊D3C2312yes—
65C22×C3×C3⋊D3C2311yescharacteristic
66C22×C32×D3C2312yes—
67C22×C32×D3C2311yescharacteristic
68C2×D3×C3⋊D3—22no—
69C2×D3×C3⋊D3—22no—
70C2×D3×C3⋊D3—24no—
71C2×D3×C3⋊D3—24no—
72C2×D3×C3⋊D3—24no—
73C2×D3×C3⋊D3D414yescomplemented
74C2×C33×C4C2312yes—
75C2×C33×C4C2311yescharacteristic
76C2×C3⋊(C3⋊Dic3)C2312yes—
77C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
78C4×C3⋊(C3⋊D3)—24no—
79C4×C3⋊(C3⋊D3)D414yescomplemented
80C2×C3×C3⋊Dic3C2311yescharacteristic
81C3×C4⋊(C3⋊D3)—24no—
82C3×C4⋊(C3⋊D3)—22no—
83C3×C4×C3⋊D3—22no—
84C2×C32×Dic3C2311yescharacteristic
85C32×D12—24no—
86C32×D12—22no—
87C32×C4×D3—22no—
88#6290—24no—
89#6290—24no—
90#6290—24no—
91#6289—22no—
92Dic3×C3⋊D3—22no—
93D3×C3⋊Dic3—22no—
94D3×#121—94no—
95D3×#121—91no—
96C23×C3⋊D3—31no—
97C23×C3⋊D3—32no—
98C22×D32—34no—
99C22×D32—38no—
100C2×C32×D4—31no—
101C2×C32×D4—32no—
102C22×C32×C4—31no—
103C2×#638—32no—
104C2×#638—32no—
105C2×#638—32no—
106C22×C3⋊Dic3—31no—
107D4×C3⋊D3—64no—
108D4×C3⋊D3—68no—
109C2×C4⋊(C3⋊D3)C2×D312yescomplemented
110C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
111C2×C4×C3⋊D3—31no—
112C2×C4×C3⋊D3—34no—
113C2×C4×C3⋊D3—31no—
114C2×C4×C3⋊D3—32no—
115C2×C4×C3⋊D3—38no—
116C2×C4×C3⋊D3—31no—
117C2×C4×C3⋊D3—64no—
118C2×C4×C3⋊D3—64no—
119C2×C4×C3⋊D3—68no—
120C2×C4×C3⋊D3C2×D311yescharacteristic, complemented
121C2×C3×D12—38no—
122C2×C3×D12—34no—
123C2×C3×D12C2×D318yescomplemented
124C2×C3×D12C2×D314yescomplemented
125C2×C3×C4×D3—34no—
126C2×C3×C4×D3C2×D314yescomplemented
127C2×#625—38no—
128C2×#625—38no—
129C2×#625—38no—
130C2×#624—34no—
131C2×D3×Dic3—34no—
132C2×D3×Dic3—34no—
133#3802—616no—
134#3802—632no—
135C4×D32—616no—
136C32×C4⋊C4—24no—
137C32×C4⋊C4C2×D314yescomplemented
138C32×C4⋊C4C2×D311yescharacteristic, complemented
139C32×C22⋊C4—32no—
140#3757—32no—
141#3752—32no—
142#3752C2×D312yescomplemented
143C4⋊(C3⋊Dic3)—31no—
144C4⋊(C3⋊Dic3)—34no—
145C4⋊(C3⋊Dic3)—64no—
146#3750—32no—
147#3750—38no—
148#3750—68no—
149C3×(C2×D3)⋊C4—38no—
150C3×(C2×D3)⋊C4C2×D318yescomplemented
151(C2×D3)⋊Dic3—38no—
152(C2×D3)⋊Dic3—38no—
153C22×C33C2411yescharacteristic
154C2×C3⋊(C3⋊D3)C2×D412yes—
155C2×C3⋊(C3⋊D3)C2×D412yes—
156C2×C3⋊(C3⋊D3)#4112yes—
157C2×C3×C3⋊D3—21no—
158C2×C3×C3⋊D3—21no—
159C2×C3×C3⋊D3—22no—
160C2×C3×C3⋊D3—22no—
161C2×C3×C3⋊D3—22no—
162C2×C3×C3⋊D3C2×D412yescomplemented
163C2×C32×D3—21no—
164C2×C32×D3—21no—
165C2×C32×D3—22no—
166C2×C32×D3—22no—
167C2×C32×D3—22no—
168C2×C32×D3C2×D412yescomplemented
169D3×C3⋊D3—28no—
170D3×C3⋊D3—48no—
171C33×C4—22no—
172C33×C4C2×D412yescomplemented
173C3⋊(C3⋊Dic3)—22no—
174C3⋊(C3⋊Dic3)C2×D412yescomplemented
175C3×C3⋊Dic3—21no—
176C32×Dic3—21no—
177C2×D3×D4—94no—
178C2×D3×D4—98no—
179C2×D3×D4—91no—
180C2×D3×D4—92no—
181C22×C4×D3—94no—
182C22×C4×D3—91no—
183C3×#121—34no—
184C3×#121—91no—
185#939—98no—
186#939—92no—
187#938—94no—
188#938—91no—
189#930—94no—
190#930—91no—
191#895—34no—
192#895C3⋊D311yescharacteristic, complemented
193D3×C4⋊C4—94no—
194D3×C4⋊C4—91no—
195D3×C4⋊C4—184no—
196#884—98no—
197#884—92no—
198D3×C22⋊C4—98no—
199D3×C22⋊C4—92no—
200C23×C32—31no—
201C23×C32—32no—
202C22×C3⋊D3—31no—
203C22×C3⋊D3—34no—
204C22×C3⋊D3—34no—
205C22×C3⋊D3—64no—
206C22×C3⋊D3—62no—
207C22×C3⋊D3—62no—
208C22×C3⋊D3—64no—
209C22×C3⋊D3—64no—
210C22×C3⋊D3—64no—
211C22×C3⋊D3C22×D312yes—
212C22×C3⋊D3C22×D311yescharacteristic
213C22×C3×D3—34no—
214C22×C3×D3—38no—
215C22×C3×D3C22×D318yes—
216C22×C3×D3C22×D314yes—
217C2×D32—316no—
218C2×D32—68no—
219C2×D32—68no—
220C2×D32—616no—
221C2×D32—616no—
222C2×D32—616no—
223C32×D4—64no—
224C32×D4—62no—
225C2×C32×C4—24no—
226C2×C32×C4—28no—
227C2×C32×C4—31no—
228C2×C32×C4—62no—
229C2×C32×C4C22×D318yes—
230C2×C32×C4C22×D314yes—
231C2×C32×C4C22×D312yes—
232C2×C32×C4C22×D311yescharacteristic
233#638—64no—
234#638—64no—
235#638—64no—
236C2×C3⋊Dic3—31no—
237C2×C3⋊Dic3—32no—
238C2×C3⋊Dic3—34no—
239C2×C3⋊Dic3—38no—
240C2×C3⋊Dic3—64no—
241C2×C3⋊Dic3—68no—
242C2×C3⋊Dic3—62no—
243C2×C3⋊Dic3C22×D311yescharacteristic
244C4⋊(C3⋊D3)—24no—
245C4⋊(C3⋊D3)—22no—
246C4×C3⋊D3—22no—
247C4×C3⋊D3—34no—
248C4×C3⋊D3—316no—
249C4×C3⋊D3—616no—
250C4×C3⋊D3—62no—
251C4×C3⋊D3—62no—
252C4×C3⋊D3—64no—
253C4×C3⋊D3—616no—
254C4×C3⋊D3—1216no—
255C2×C3×Dic3—34no—
256C2×C3×Dic3C22×D314yes—
257C3×D12—216no—
258C3×D12—28no—
259C3×D12—616no—
260C3×D12—68no—
261C3×C4×D3—28no—
262C3×C4×D3—68no—
263#625—616no—
264#625—616no—
265#625—616no—
266#624—68no—
267D3×Dic3—68no—
268D3×Dic3—68no—
269C2×#121—271noSylow
270C2×C33C22×D411yescharacteristic
271C2×C33C22×D411yescharacteristic
272C2×C33C2×#4111yescharacteristic
273C3⋊(C3⋊D3)#12114yescomplemented
274C3×C3⋊D3—22no—
275C3×C3⋊D3—42no—
276C32×D3—22no—
277C32×D3—42no—
278C23×D3—94no—
279C23×D3—98no—
280C23×D3—91no—
281C23×D3—92no—
282C2×C3×D4—34no—
283C2×C3×D4—38no—
284C2×C3×D4—91no—
285C2×C3×D4—92no—
286C22×C3×C4—34no—
287C22×C3×C4—91no—
288C2×#67—98no—
289C2×#67—98no—
290C2×#67—98no—
291C2×#67—92no—
292C2×#67—92no—
293C2×#67—92no—
294C22×Dic3—94no—
295C22×Dic3—91no—
296D3×D4—184no—
297D3×D4—1816no—
298D3×D4—188no—
299D3×D4—1832no—
300C2×D12—38no—
301C2×D12—34no—
302C2×D12C2×C3⋊D312yescomplemented
303C2×D12C2×C3⋊D311yescharacteristic, complemented
304C2×C4×D3—34no—
305C2×C4×D3—94no—
306C2×C4×D3—91no—
307C2×C4×D3—94no—
308C2×C4×D3—94no—
309C2×C4×D3—91no—
310C2×C4×D3—98no—
311C2×C4×D3—92no—
312C2×C4×D3—91no—
313C2×C4×D3—184no—
314C2×C4×D3—188no—
315C2×C4×D3—184no—
316C2×C4×D3—1816no—
317C2×C4×D3C2×C3⋊D311yescharacteristic, complemented
318C3×C4⋊C4—24no—
319C3×C4⋊C4D3214yescomplemented
320C3×C4⋊C4C2×C3⋊D311yescharacteristic, complemented
321C3×C22⋊C4—38no—
322C3×C22⋊C4—92no—
323#217—98no—
324#217—92no—
325(C2×D3)⋊C4—38no—
326(C2×D3)⋊C4—98no—
327(C2×D3)⋊C4—92no—
328(C2×D3)⋊C4C2×C3⋊D312yescomplemented
329C4⋊Dic3—94no—
330C4⋊Dic3—91no—
331C4⋊Dic3—184no—
332Dic3⋊C4—98no—
333Dic3⋊C4—92no—
334Dic3⋊C4—188no—
335C22×C32—24no—
336C22×C32—32no—
337C22×C32—61no—
338C22×C32—61no—
339C22×C32—62no—
340C22×C32—62no—
341C22×C32—62no—
342C22×C32C23×D314yes—
343C22×C32C23×D311yescharacteristic
344C2×C3⋊D3—21no—
345C2×C3⋊D3—21no—
346C2×C3⋊D3—22no—
347C2×C3⋊D3—22no—
348C2×C3⋊D3—22no—
349C2×C3⋊D3—32no—
350C2×C3⋊D3—32no—
351C2×C3⋊D3—32no—
352C2×C3⋊D3—38no—
353C2×C3⋊D3—38no—
354C2×C3⋊D3—38no—
355C2×C3⋊D3—68no—
356C2×C3⋊D3—68no—
357C2×C3⋊D3—68no—
358C2×C3⋊D3—68no—
359C2×C3⋊D3—128no—
360C2×C3⋊D3D3×D412yescomplemented
361C2×C3×D3—24no—
362C2×C3×D3—24no—
363C2×C3×D3—28no—
364C2×C3×D3—28no—
365C2×C3×D3—28no—
366C2×C3×D3—38no—
367C2×C3×D3—64no—
368C2×C3×D3—64no—
369C2×C3×D3—68no—
370C2×C3×D3—68no—
371C2×C3×D3—68no—
372C2×C3×D3D3×D418yescomplemented
373D32—632no—
374D32—1232no—
375C32×C4—22no—
376C32×C4—28no—
377C32×C4—28no—
378C32×C4—48no—
379C32×C4—61no—
380C32×C4D3×D418yescomplemented
381C32×C4D3×D412yescomplemented
382C3⋊Dic3—21no—
383C3⋊Dic3—32no—
384C3⋊Dic3—38no—
385C3⋊Dic3—68no—
386C3⋊Dic3—62no—
387C3⋊Dic3—68no—
388C3⋊Dic3—128no—
389C3×Dic3—24no—
390C3×Dic3—64no—
391C22×D4—271no—
392C22×D4—272no—
393C23×C4—271no—
394#121—31no—
395#121—91no—
396#121—272no—
397#121—272no—
398#121—271no—
399#121—271no—
400C2×C4⋊C4—271no—
401C2×C22⋊C4—272no—
402C33C2×#12111yescharacteristic, complemented, Sylow
403C23×C3—34no—
404C23×C3—38no—
405C23×C3—91no—
406C23×C3—92no—
407C22×D3—34no—
408C22×D3—38no—
409C22×D3—916no—
410C22×D3—94no—
411C22×D3—91no—
412C22×D3—94no—
413C22×D3—184no—
414C22×D3—182no—
415C22×D3—182no—
416C22×D3—184no—
417C22×D3—184no—
418C22×D3—184no—
419C22×D3—188no—
420C22×D3—188no—
421C22×D3—1816no—
422C22×D3—1816no—
423C22×D3—1816no—
424C22×D3C22×C3⋊D312yes—
425C22×D3C22×C3⋊D311yescharacteristic
426C3×D4—616no—
427C3×D4—68no—
428C3×D4—184no—
429C3×D4—182no—
430C2×C3×C4—24no—
431C2×C3×C4—28no—
432C2×C3×C4—34no—
433C2×C3×C4—68no—
434C2×C3×C4—91no—
435C2×C3×C4—182no—
436C2×C3×C4C2×D3218yes—
437C2×C3×C4C2×D3214yes—
438C2×C3×C4C22×C3⋊D312yes—
439C2×C3×C4C22×C3⋊D311yescharacteristic
440#67—184no—
441#67—1816no—
442#67—184no—
443#67—1816no—
444#67—1816no—
445#67—184no—
446C2×Dic3—34no—
447C2×Dic3—94no—
448C2×Dic3—91no—
449C2×Dic3—98no—
450C2×Dic3—92no—
451C2×Dic3—184no—
452C2×Dic3—188no—
453C2×Dic3—182no—
454C2×Dic3—188no—
455C2×Dic3C22×C3⋊D311yescharacteristic
456D12—24no—
457D12—22no—
458D12—616no—
459D12—68no—
460C4×D3—22no—
461C4×D3—68no—
462C4×D3—916no—
463C4×D3—94no—
464C4×D3—1816no—
465C4×D3—182no—
466C4×D3—188no—
467C4×D3—188no—
468C4×D3—182no—
469C4×D3—184no—
470C4×D3—1816no—
471C4×D3—3616no—
472C2×C32—24no—
473C2×C32—24no—
474C2×C32—24no—
475C2×C32—62no—
476C2×C32—122no—
477C2×C32C2×D3×D414yes—
478C2×C32C2×D3×D414yes—
479C2×C32C2×D3×D411yescharacteristic
480C2×C32C2×D3×D411yescharacteristic
481C2×C32D3×#4114yes—
482C2×C32D3×#4111yescharacteristic
483C3⋊D3—22no—
484C3⋊D3—34no—
485C3⋊D3—316no—
486C3⋊D3—42no—
487C3⋊D3—616no—
488C3×D3—28no—
489C3×D3—48no—
490C3×D3—68no—
491C3×D3—128no—
492C24—271no—
493C24—272no—
494C2×D4—32no—
495C2×D4—31no—
496C2×D4—92no—
497C2×D4—91no—
498C2×D4—272no—
499C2×D4—272no—
500C2×D4—272no—
501C2×D4—544no—
502C2×D4—548no—
503C22×C4—31no—
504C22×C4—91no—
505C22×C4—271no—
506C22×C4—271no—
507C22×C4—271no—
508C22×C4—271no—
509C22×C4—272no—
510C22×C4—544no—
511C4⋊C4—272no—
512C4⋊C4—271no—
513C4⋊C4D3×C3⋊D311yescharacteristic, complemented
514C22⋊C4—32no—
515C22⋊C4—92no—
516C22⋊C4—272no—
517C22⋊C4—272no—
518C22×C3—24no—
519C22×C3—38no—
520C22×C3—64no—
521C22×C3—64no—
522C22×C3—68no—
523C22×C3—68no—
524C22×C3—68no—
525C22×C3—92no—
526C22×C3—181no—
527C22×C3—181no—
528C22×C3—182no—
529C22×C3—182no—
530C22×C3—182no—
531C22×C3C22×D3214yes—
532C22×C3C23×C3⋊D311yescharacteristic
533C2×D3—21no—
534C2×D3—21no—
535C2×D3—22no—
536C2×D3—22no—
537C2×D3—22no—
538C2×D3—38no—
539C2×D3—64no—
540C2×D3—64no—
541C2×D3—68no—
542C2×D3—68no—
543C2×D3—68no—
544C2×D3—98no—
545C2×D3—98no—
546C2×D3—98no—
547C2×D3—92no—
548C2×D3—92no—
549C2×D3—92no—
550C2×D3—188no—
551C2×D3—188no—
552C2×D3—188no—
553C2×D3—188no—
554C2×D3—1832no—
555C2×D3—368no—
556C2×D3—3632no—
557C2×D3D4×C3⋊D312yescomplemented
558C3×C4—28no—
559C3×C4—22no—
560C3×C4—28no—
561C3×C4—48no—
562C3×C4—64no—
563C3×C4—181no—
564C3×C4#380218yescomplemented
565C3×C4D4×C3⋊D312yescomplemented
566Dic3—21no—
567Dic3—64no—
568Dic3—98no—
569Dic3—92no—
570Dic3—188no—
571Dic3—188no—
572Dic3—182no—
573Dic3—368no—
574C32—24no—
575C32D3×#12114yescomplemented
576C32D3×#12111yescharacteristic, complemented
577C23—31no—
578C23—32no—
579C23—91no—
580C23—92no—
581C23—274no—
582C23—271no—
583C23—542no—
584C23—542no—
585C23—544no—
586C23—544no—
587C23—544no—
588D4—64no—
589D4—62no—
590D4—184no—
591D4—182no—
592D4—544no—
593D4—544no—
594D4—544no—
595C2×C4—31no—
596C2×C4—62no—
597C2×C4—91no—
598C2×C4—182no—
599C2×C4—271no—
600C2×C4—274no—
601C2×C4—272no—
602C2×C4—544no—
603C2×C4—542no—
604C2×C4—542no—
605C2×C4—542no—
606C2×C4C2×D3×C3⋊D312yes—
607C2×C4C2×D3×C3⋊D311yescharacteristic
608C2×C3—24no—
609C2×C3—24no—
610C2×C3—24no—
611C2×C3—68no—
612C2×C3—128no—
613C2×C3—182no—
614C2×C3—362no—
615C2×C3C2×#380214yes—
616C2×C3D32×D414yes—
617C2×C3#6431914yes—
618C2×C3C2×D4×C3⋊D311yescharacteristic
619C2×C3C2×D4×C3⋊D311yescharacteristic
620C2×C3#41×C3⋊D311yescharacteristic
621D3—22no—
622D3—42no—
623D3—68no—
624D3—916no—
625D3—94no—
626D3—128no—
627D3—1816no—
628C22—32no—
629C22—61no—
630C22—61no—
631C22—62no—
632C22—62no—
633C22—62no—
634C22—92no—
635C22—181no—
636C22—181no—
637C22—182no—
638C22—182no—
639C22—182no—
640C22—272no—
641C22—272no—
642C22—272no—
643C22—548no—
644C22—1088no—
645C22C22×D3×C3⋊D311yescharacteristic
646C4—22no—
647C4—61no—
648C4—181no—
649C4—272no—
650C4—542no—
651C4#8902612yescomplemented
652C3—24no—
653C3#1059461214yescomplemented
654C3C3⋊D3×#12111yescharacteristic, complemented
655C2—62no—
656C2—122no—
657C2—182no—
658C2—274no—
659C2—362no—
660C2C2×#8902611yescharacteristic
661C2D3×D4×C3⋊D311yescharacteristic
662C2#1172459611yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC33×C4⋊C4C22
hypercenterC4⋊C4D3×C3⋊D3
hypocenterC33C2×#121
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#89026C2semidirect
2. C2×#89026C2semidirect
3. C2×C4×D3×C3⋊D3C2semidirect
4. C4⋊C4×C3⋊(C3⋊D3)C2semidirect
5. C3×#64104C2semidirect
6. C32×#895C2semidirect
7. #11723539C2semidirect
8. #11723522C2semidirect
9. #11723519C2semidirect
10. #11723515C2semidirect
11. #11723474C2semidirect
18. C2×C3×C4⋊(C3⋊D3)C22semidirect
19. C2×C3×C4⋊(C3⋊D3)C22semidirect
20. C2×C3×C4×C3⋊D3C22semidirect
21. C2×C32×D12C22semidirect
22. C2×C32×D12C22semidirect
23. C2×C32×C4×D3C22semidirect
24. C2×#6290C22semidirect
25. C2×#6290C22semidirect
26. C2×#6290C22semidirect
28. C2×Dic3×C3⋊D3C22semidirect
29. C2×D3×C3⋊Dic3C22semidirect
33. C33×C4⋊C4C22semidirect
34. C4⋊(C3⋊(C3⋊Dic3))C22semidirect
35. #88857C22semidirect
36. C3×#3752C22semidirect
37. C32×(C2×D3)⋊C4C22semidirect
38. #88803C22semidirect
39. (C2×D3)⋊(C3⋊Dic3)C22semidirect
50. #64104D3semidirect
57. C3×#895D3semidirect
73. C2×D3×C3⋊D3D4semidirect
79. C4×C3⋊(C3⋊D3)D4semidirect
109. C2×C4⋊(C3⋊D3)C2×D3semidirect
110. C2×C4⋊(C3⋊D3)C2×D3semidirect
120. C2×C4×C3⋊D3C2×D3semidirect
123. C2×C3×D12C2×D3semidirect
124. C2×C3×D12C2×D3semidirect
126. C2×C3×C4×D3C2×D3semidirect
137. C32×C4⋊C4C2×D3semidirect
138. C32×C4⋊C4C2×D3semidirect
142. #3752C2×D3semidirect
150. C3×(C2×D3)⋊C4C2×D3semidirect
162. C2×C3×C3⋊D3C2×D4semidirect
168. C2×C32×D3C2×D4semidirect
172. C33×C4C2×D4semidirect
174. C3⋊(C3⋊Dic3)C2×D4semidirect
192. #895C3⋊D3semidirect
273. C3⋊(C3⋊D3)#121semidirect
302. C2×D12C2×C3⋊D3semidirect
303. C2×D12C2×C3⋊D3semidirect
317. C2×C4×D3C2×C3⋊D3semidirect
319. C3×C4⋊C4D32semidirect
320. C3×C4⋊C4C2×C3⋊D3semidirect
328. (C2×D3)⋊C4C2×C3⋊D3semidirect
360. C2×C3⋊D3D3×D4semidirect
372. C2×C3×D3D3×D4semidirect
380. C32×C4D3×D4semidirect
381. C32×C4D3×D4semidirect
402. C33C2×#121semidirect
513. C4⋊C4D3×C3⋊D3semidirect
557. C2×D3D4×C3⋊D3semidirect
564. C3×C4#3802semidirect
565. C3×C4D4×C3⋊D3semidirect
575. C32D3×#121semidirect
576. C32D3×#121semidirect
651. C4#89026semidirect
653. C3#10594612semidirect
654. C3C3⋊D3×#121semidirect

Maximal subgroups

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

subgroupindex
C2×#890262
C2×C4×D3×C3⋊D32
C4⋊C4×C3⋊(C3⋊D3)2
C3×#641042
C32×#8952
#117235392
#117235222
#117235192
#117235152
#117234742
C3⋊D3×#1213
#105946123