Finite Group Databasebeta

← #11812827

Subgroups — #11812827

Order 1152.

2022 conjugacy classes of subgroups.

The subgroup lattice has 681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64104C211yesmaximal, characteristic
2C2×#64103C211yesmaximal, characteristic, complemented
3C2×C4⋊C4×C3⋊D3C211yesmaximal, characteristic, complemented
4C2×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
5C32×#387C211yesmaximal, characteristic, complemented
6#10592680C211yesmaximal, characteristic, complemented
7#10592639C211yesmaximal, characteristic, complemented
8#10592376C211yesmaximal, characteristic, complemented
9#10592373C211yesmaximal, characteristic, complemented
10#10592371C211yesmaximal, characteristic, complemented
11#10592367C211yesmaximal, characteristic, complemented
12#10592367C211yesmaximal, characteristic, complemented
13#10592364C211yesmaximal, characteristic, complemented
14#10592364C211yesmaximal, characteristic, complemented
15#10592364C211yesmaximal, characteristic, complemented
16#75319—34nomaximal
17C22×C4⋊(C3⋊D3)C2211yescharacteristic
18C22×C4⋊(C3⋊D3)C2211yescharacteristic
19C22×C4⋊(C3⋊D3)C2211yescharacteristic
20C22×C4×C3⋊D3C2211yescharacteristic
21C22×C4×C3⋊D3C2211yescharacteristic
22C22×C4×C3⋊D3C2211yescharacteristic
23C22×C4×C3⋊D3C2211yescharacteristic
24C2×C32×C4⋊C4C2211yescharacteristic
25C2×C32×C4⋊C4C2211yescharacteristic
26C2×C32×C42C2211yescharacteristic
27C2×#3752C2211yescharacteristic
28C2×#3752C2211yescharacteristic
29C2×#3752C2211yescharacteristic
30C2×#3752C2211yescharacteristic
31C2×#3752C2211yescharacteristic
32C2×#3752C2211yescharacteristic
33C2×#3752C2211yescharacteristic
34C2×#3752C2211yescharacteristic
35C2×#3752C2211yescharacteristic
36C2×#3752C2211yescharacteristic
37C2×#3752C2211yescharacteristic
38C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
39C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
40C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
41C2×#3750C2211yescharacteristic
42C2×#3750C2211yescharacteristic
43C2×#3750C2211yescharacteristic
44#64104—24no—
45#64103—24no—
46C4⋊C4×C3⋊D3—24no—
47C4×C4⋊(C3⋊D3)—24no—
48C32×#95C2211yescharacteristic
49C32×#95C2211yescharacteristic
50C32×#95C2211yescharacteristic
51C32×#95C2211yescharacteristic
52#63658C2211yescharacteristic
53#63658C2211yescharacteristic
54#63658C2211yescharacteristic
55#63658C2211yescharacteristic
56C2×#895—34no—
57C2×#894—34no—
58C2×D3×C4⋊C4—34no—
59C2×C4×D12—34no—
60C3×#387D314yescomplemented
61#4981—34no—
62#4940—34no—
63#4677—34no—
64#4674—34no—
65#4672—34no—
66#4668—34no—
67#4668—34no—
68#4665—34no—
69#4665—34no—
70#4665—34no—
71C23×C3⋊D3C2311yescharacteristic
72C23×C3⋊D3C2311yescharacteristic
73C23×C3⋊D3C2311yescharacteristic
74C22×C32×C4C2311yescharacteristic
75C22×C32×C4C2311yescharacteristic
76C22×C32×C4C2311yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2311yescharacteristic
80C22×C32×C4C2311yescharacteristic
81C22×C3⋊Dic3C2311yescharacteristic
82C22×C3⋊Dic3C2311yescharacteristic
83C22×C3⋊Dic3C2311yescharacteristic
84C22×C3⋊Dic3C2311yescharacteristic
85C22×C3⋊Dic3C2311yescharacteristic
86C2×C4⋊(C3⋊D3)—22no—
87C2×C4⋊(C3⋊D3)—22no—
88C2×C4⋊(C3⋊D3)—22no—
89C2×C4⋊(C3⋊D3)—22no—
90C2×C4⋊(C3⋊D3)—22no—
91C2×C4⋊(C3⋊D3)—22no—
92C2×C4⋊(C3⋊D3)—22no—
93C2×C4⋊(C3⋊D3)—41no—
94C2×C4⋊(C3⋊D3)D414yes—
95C2×C4×C3⋊D3—22no—
96C2×C4×C3⋊D3—22no—
97C2×C4×C3⋊D3—22no—
98C2×C4×C3⋊D3—22no—
99C2×C4×C3⋊D3—22no—
100C2×C4×C3⋊D3—22no—
101C2×C4×C3⋊D3—22no—
102C2×C4×C3⋊D3—22no—
103C2×C4×C3⋊D3—22no—
104C2×C4×C3⋊D3—41no—
105C2×C4×C3⋊D3—41no—
106C2×C4×C3⋊D3—41no—
107C32×C4⋊C4—22no—
108C32×C4⋊C4D414yescomplemented
109C32×C42—22no—
110#3752—22no—
111#3752—22no—
112#3752—22no—
113#3752—22no—
114#3752—22no—
115#3752—22no—
116#3752—22no—
117#3752—22no—
118#3752—22no—
119#3752—22no—
120#3752—41no—
121C4⋊(C3⋊Dic3)—22no—
122C4⋊(C3⋊Dic3)—22no—
123C4⋊(C3⋊Dic3)—41no—
124#3750—22no—
125#3750—22no—
126#3750—22no—
127#2443—91noSylow
128C22×D12—34no—
129C22×D12—34no—
130C22×D12—34no—
131C22×C4×D3—34no—
132C22×C4×D3—34no—
133C22×C4×D3—34no—
134C22×C4×D3—34no—
135C2×C3×C4⋊C4C2×D314yes—
136C2×C3×C4⋊C4C2×D314yes—
137C2×C3×C42C2×D314yes—
138C2×(C2×D3)⋊C4—34no—
139C2×(C2×D3)⋊C4—34no—
140C2×(C2×D3)⋊C4—34no—
141C2×(C2×D3)⋊C4—34no—
142C2×(C2×D3)⋊C4—34no—
143C2×(C2×D3)⋊C4—34no—
144C2×(C2×D3)⋊C4—34no—
145C2×(C2×D3)⋊C4—34no—
146C2×(C2×D3)⋊C4—34no—
147C2×(C2×D3)⋊C4—34no—
148C2×(C2×D3)⋊C4—34no—
149C2×C4⋊Dic3—34no—
150C2×C4⋊Dic3—34no—
151C2×C4⋊Dic3—34no—
152C2×Dic3⋊C4—34no—
153C2×Dic3⋊C4—34no—
154C2×Dic3⋊C4—34no—
155#895—616no—
156#894—616no—
157D3×C4⋊C4—616no—
158C4×D12—616no—
159C3×#95C2×D314yes—
160C3×#95C2×D314yes—
161C3×#95C2×D314yes—
162C3×#95C2×D314yes—
163C3⋊#95—34no—
164C3⋊#95—34no—
165C3⋊#95—34no—
166C3⋊#95—34no—
167C23×C32C2411yescharacteristic
168C22×C3⋊D3—21no—
169C22×C3⋊D3—21no—
170C22×C3⋊D3—21no—
171C22×C3⋊D3—21no—
172C22×C3⋊D3—21no—
173C22×C3⋊D3—21no—
174C22×C3⋊D3—21no—
175C22×C3⋊D3—21no—
176C22×C3⋊D3—21no—
177C22×C3⋊D3—21no—
178C22×C3⋊D3—21no—
179C22×C3⋊D3—21no—
180C22×C3⋊D3—21no—
181C22×C3⋊D3—21no—
182C22×C3⋊D3—21no—
183C22×C3⋊D3—21no—
184C22×C3⋊D3—21no—
185C22×C3⋊D3C2×D412yes—
186C22×C3⋊D3C2×D412yes—
187C22×C3⋊D3#4112yes—
188C22×C3⋊D3#4112yes—
189C2×C32×C4—21no—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—21no—
193C2×C32×C4—21no—
194C2×C32×C4—21no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C32×C4—21no—
198C2×C32×C4—21no—
199C2×C32×C4—21no—
200C2×C32×C4—21no—
201C2×C32×C4—21no—
202C2×C32×C4—21no—
203C2×C32×C4—21no—
204C2×C32×C4—21no—
205C2×C32×C4—21no—
206C2×C32×C4C2×D412yes—
207C2×C32×C4C2×D412yes—
208C2×C32×C4C2×D412yes—
209C2×C32×C4C2×D412yes—
210C2×C3⋊Dic3—21no—
211C2×C3⋊Dic3—21no—
212C2×C3⋊Dic3—21no—
213C2×C3⋊Dic3—21no—
214C2×C3⋊Dic3—21no—
215C2×C3⋊Dic3—21no—
216C2×C3⋊Dic3—21no—
217C2×C3⋊Dic3—21no—
218C2×C3⋊Dic3—21no—
219C2×C3⋊Dic3—21no—
220C2×C3⋊Dic3—21no—
221C2×C3⋊Dic3—21no—
222C2×C3⋊Dic3—21no—
223C2×C3⋊Dic3—21no—
224C2×C3⋊Dic3#4112yes—
225C4⋊(C3⋊D3)—28no—
226C4⋊(C3⋊D3)—44no—
227C4⋊(C3⋊D3)—44no—
228C4×C3⋊D3—28no—
229C4×C3⋊D3—44no—
230C4×C3⋊D3—44no—
231C4×C3⋊D3—44no—
232C2×#123—91no—
233C2×#121—91no—
234C2×C4×D4—91no—
235C22×C4⋊C4—91no—
236#399—91no—
237#398—91no—
238#397—91no—
239#394—91no—
240#388—91no—
241#387C3⋊D311yescharacteristic, complemented
242#386—91no—
243#386—91no—
244#386—91no—
245#385—91no—
246#385—91no—
247C23×D3—34no—
248C23×D3—34no—
249C23×D3—34no—
250C22×C3×C4C22×D314yes—
251C22×C3×C4C22×D314yes—
252C22×C3×C4C22×D314yes—
253C22×C3×C4C22×D314yes—
254C22×C3×C4C22×D314yes—
255C22×C3×C4C22×D314yes—
256C22×C3×C4C22×D314yes—
257C22×Dic3—34no—
258C22×Dic3—34no—
259C22×Dic3—34no—
260C22×Dic3—34no—
261C22×Dic3—34no—
262C2×D12—316no—
263C2×D12—68no—
264C2×D12—68no—
265C2×D12—68no—
266C2×D12—68no—
267C2×D12—68no—
268C2×D12—68no—
269C2×D12—68no—
270C2×D12—124no—
271C2×C4×D3—68no—
272C2×C4×D3—68no—
273C2×C4×D3—68no—
274C2×C4×D3—68no—
275C2×C4×D3—68no—
276C2×C4×D3—68no—
277C2×C4×D3—68no—
278C2×C4×D3—68no—
279C2×C4×D3—68no—
280C2×C4×D3—124no—
281C2×C4×D3—124no—
282C2×C4×D3—124no—
283C3×C4⋊C4—28no—
284C3×C4⋊C4D12116yescomplemented
285C3×C42—28no—
286(C2×D3)⋊C4—68no—
287(C2×D3)⋊C4—68no—
288(C2×D3)⋊C4—68no—
289(C2×D3)⋊C4—68no—
290(C2×D3)⋊C4—68no—
291(C2×D3)⋊C4—68no—
292(C2×D3)⋊C4—68no—
293(C2×D3)⋊C4—68no—
294(C2×D3)⋊C4—68no—
295(C2×D3)⋊C4—68no—
296(C2×D3)⋊C4—124no—
297C4⋊Dic3—68no—
298C4⋊Dic3—68no—
299C4⋊Dic3—124no—
300Dic3⋊C4—68no—
301Dic3⋊C4—68no—
302Dic3⋊C4—68no—
303C22×C32C22×D411yescharacteristic
304C22×C32C22×D411yescharacteristic
305C22×C32C2×#4111yescharacteristic
306C22×C32C2×#4111yescharacteristic
307C22×C32C2×#4111yescharacteristic
308C22×C32H(5,𝔽2)11yescharacteristic
309C22×C322−1+411yescharacteristic
310C2×C3⋊D3—22no—
311C2×C3⋊D3—22no—
312C2×C3⋊D3—22no—
313C2×C3⋊D3—22no—
314C2×C3⋊D3—22no—
315C2×C3⋊D3—22no—
316C2×C3⋊D3—22no—
317C2×C3⋊D3—22no—
318C2×C3⋊D3—22no—
319C2×C3⋊D3—41no—
320C2×C3⋊D3—41no—
321C2×C3⋊D3—41no—
322C2×C3⋊D3—41no—
323C2×C3⋊D3—41no—
324C2×C3⋊D3—41no—
325C2×C3⋊D3—41no—
326C2×C3⋊D3—41no—
327C2×C3⋊D3—41no—
328C2×C3⋊D3—41no—
329C2×C3⋊D3—41no—
330C2×C3⋊D3#12314yescomplemented
331C32×C4—22no—
332C32×C4—22no—
333C32×C4—22no—
334C32×C4—22no—
335C32×C4—41no—
336C32×C4—41no—
337C32×C4—41no—
338C3⋊Dic3—22no—
339C3⋊Dic3—41no—
340C3⋊Dic3—41no—
341C3⋊Dic3—41no—
342C3⋊Dic3—41no—
343C22×D4—91no—
344C22×D4—91no—
345C22×D4—91no—
346C23×C4—91no—
347C23×C4—91no—
348C23×C4—91no—
349C23×C4—91no—
350#123—184no—
351#121—184no—
352C4×D4—184no—
353C2×C4⋊C4—91no—
354C2×C4⋊C4—91no—
355C2×C4⋊C4—91no—
356C2×C4⋊C4—91no—
357C2×C4⋊C4—91no—
358C2×C4⋊C4—91no—
359C2×C4⋊C4—184no—
360C2×C4⋊C4C2×C3⋊D311yescharacteristic
361C2×C4⋊C4C2×C3⋊D311yescharacteristic
362C2×C22⋊C4—91no—
363C2×C22⋊C4—91no—
364C2×C22⋊C4—91no—
365C2×C22⋊C4—91no—
366C2×C22⋊C4—91no—
367C2×C22⋊C4—91no—
368C2×C22⋊C4—91no—
369C2×C22⋊C4—91no—
370C2×C22⋊C4—91no—
371C2×C22⋊C4—91no—
372C2×C22⋊C4—91no—
373C2×C42C2×C3⋊D311yescharacteristic
374#95—91no—
375#95—91no—
376#95—91no—
377#95—91no—
378#95C2×C3⋊D311yescharacteristic
379#95C2×C3⋊D311yescharacteristic
380#95C2×C3⋊D311yescharacteristic
381#95C2×C3⋊D311yescharacteristic
382C23×C3C23×D314yes—
383C22×D3—38no—
384C22×D3—38no—
385C22×D3—38no—
386C22×D3—38no—
387C22×D3—64no—
388C22×D3—64no—
389C22×D3—64no—
390C22×D3—64no—
391C22×D3—64no—
392C22×D3—64no—
393C22×D3—64no—
394C22×D3—64no—
395C22×D3—64no—
396C22×D3—64no—
397C22×D3—64no—
398C22×D3—64no—
399C22×D3—64no—
400C22×D3—64no—
401C22×D3—64no—
402C22×D3—64no—
403C22×D3—64no—
404C2×C3×C4—24no—
405C2×C3×C4—24no—
406C2×C3×C4—24no—
407C2×C3×C4—24no—
408C2×C3×C4—24no—
409C2×C3×C4—24no—
410C2×C3×C4—24no—
411C2×C3×C4—24no—
412C2×C3×C4—24no—
413C2×C3×C4—24no—
414C2×C3×C4—24no—
415C2×C3×C4—24no—
416C2×C3×C4—24no—
417C2×C3×C4—24no—
418C2×C3×C4—24no—
419C2×C3×C4—24no—
420C2×C3×C4—24no—
421C2×C3×C4C2×D1218yes—
422C2×C3×C4C2×D1218yes—
423C2×C3×C4C2×D1218yes—
424C2×C3×C4D3×D418yes—
425C2×Dic3—38no—
426C2×Dic3—64no—
427C2×Dic3—64no—
428C2×Dic3—64no—
429C2×Dic3—64no—
430C2×Dic3—64no—
431C2×Dic3—64no—
432C2×Dic3—64no—
433C2×Dic3—64no—
434C2×Dic3—64no—
435C2×Dic3—64no—
436C2×Dic3—64no—
437C2×Dic3—64no—
438C2×Dic3—64no—
439C2×Dic3—64no—
440D12—632no—
441D12—1216no—
442D12—1216no—
443C4×D3—632no—
444C4×D3—1216no—
445C4×D3—1216no—
446C4×D3—1216no—
447C2×C32C2×#12311yescharacteristic
448C2×C32#52511yescharacteristic
449C2×C32#53911yescharacteristic
450C2×C32D4211yescharacteristic
451C2×C32#54711yescharacteristic
452C2×C32#54811yescharacteristic
453C2×C32#55311yescharacteristic
454C3⋊D3—24no—
455C3⋊D3—42no—
456C3⋊D3—81no—
457C24—91no—
458C24—91no—
459C24—91no—
460C2×D4—94no—
461C2×D4—182no—
462C2×D4—182no—
463C2×D4—182no—
464C2×D4—182no—
465C2×D4—182no—
466C2×D4—182no—
467C2×D4—182no—
468C2×D4—361no—
469C22×C4—91no—
470C22×C4—91no—
471C22×C4—91no—
472C22×C4—91no—
473C22×C4—91no—
474C22×C4—182no—
475C22×C4—182no—
476C22×C4—182no—
477C22×C4—182no—
478C22×C4—182no—
479C22×C4—182no—
480C22×C4—182no—
481C22×C4—182no—
482C22×C4—182no—
483C22×C4—361no—
484C22×C4—361no—
485C22×C4—361no—
486C22×C4C22×C3⋊D311yescharacteristic
487C22×C4C22×C3⋊D311yescharacteristic
488C22×C4C22×C3⋊D311yescharacteristic
489C22×C4C22×C3⋊D311yescharacteristic
490C22×C4C22×C3⋊D311yescharacteristic
491C22×C4C22×C3⋊D311yescharacteristic
492C22×C4C22×C3⋊D311yescharacteristic
493C4⋊C4—22no—
494C4⋊C4—182no—
495C4⋊C4—182no—
496C4⋊C4—182no—
497C4⋊C4—182no—
498C4⋊C4—182no—
499C4⋊C4—361no—
500C4⋊C4C4⋊(C3⋊D3)14yescomplemented
501C22⋊C4—182no—
502C22⋊C4—182no—
503C22⋊C4—182no—
504C22⋊C4—182no—
505C22⋊C4—182no—
506C22⋊C4—182no—
507C22⋊C4—182no—
508C22⋊C4—182no—
509C22⋊C4—182no—
510C22⋊C4—182no—
511C22⋊C4—361no—
512C42—22no—
513C22×C3C22×D1214yes—
514C22×C3C2×D3×D414yes—
515C22×C3#100714yes—
516C22×C3D3×#4114yes—
517C22×C3D3×#4114yes—
518C22×C3D3×#4114yes—
519C22×C3#100914yes—
520C2×D3—316no—
521C2×D3—68no—
522C2×D3—68no—
523C2×D3—68no—
524C2×D3—68no—
525C2×D3—68no—
526C2×D3—68no—
527C2×D3—68no—
528C2×D3—68no—
529C2×D3—68no—
530C2×D3—124no—
531C2×D3—124no—
532C2×D3—124no—
533C2×D3—124no—
534C2×D3—124no—
535C2×D3—124no—
536C2×D3—124no—
537C2×D3—124no—
538C2×D3—124no—
539C2×D3—124no—
540C2×D3—124no—
541C3×C4—28no—
542C3×C4—28no—
543C3×C4—28no—
544C3×C4—28no—
545C3×C4—44no—
546C3×C4—44no—
547C3×C4—44no—
548Dic3—68no—
549Dic3—124no—
550Dic3—124no—
551Dic3—124no—
552Dic3—124no—
553C32#244311yescharacteristic, complemented, Sylow
554C23—92no—
555C23—92no—
556C23—92no—
557C23—92no—
558C23—181no—
559C23—181no—
560C23—181no—
561C23—181no—
562C23—181no—
563C23—181no—
564C23—181no—
565C23—181no—
566C23—181no—
567C23—181no—
568C23—181no—
569C23—181no—
570C23—181no—
571C23—181no—
572C23—181no—
573C23—181no—
574C23—181no—
575C23C23×C3⋊D311yescharacteristic
576D4—188no—
577D4—364no—
578D4—364no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—92no—
597C2×C4—188no—
598C2×C4—181no—
599C2×C4—181no—
600C2×C4—181no—
601C2×C4—181no—
602C2×C4—181no—
603C2×C4—181no—
604C2×C4—181no—
605C2×C4—181no—
606C2×C4—181no—
607C2×C4—181no—
608C2×C4—181no—
609C2×C4—181no—
610C2×C4—181no—
611C2×C4—181no—
612C2×C4—364no—
613C2×C4—364no—
614C2×C4—364no—
615C2×C4C2×C4⋊(C3⋊D3)12yes—
616C2×C4C2×C4⋊(C3⋊D3)12yes—
617C2×C4C2×C4⋊(C3⋊D3)12yes—
618C2×C4D4×C3⋊D312yes—
619C2×C3#552414yes—
620C2×C3D4×D1214yes—
621C2×C3#557614yes—
622C2×C3#563114yes—
623C2×C3D3×#12314yes—
624C2×C3#569214yes—
625C2×C3#570914yes—
626D3—616no—
627D3—128no—
628D3—244no—
629C22—94no—
630C22—182no—
631C22—182no—
632C22—182no—
633C22—182no—
634C22—182no—
635C22—182no—
636C22—182no—
637C22—182no—
638C22—182no—
639C22—361no—
640C22—361no—
641C22—361no—
642C22—361no—
643C22—361no—
644C22—361no—
645C22—361no—
646C22—361no—
647C22—361no—
648C22—361no—
649C22—361no—
650C22C22×C4⋊(C3⋊D3)11yescharacteristic
651C22C2×D4×C3⋊D311yescharacteristic
652C22#6436411yescharacteristic
653C22#41×C3⋊D311yescharacteristic
654C22#41×C3⋊D311yescharacteristic
655C22#41×C3⋊D311yescharacteristic
656C22#6436611yescharacteristic
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—182no—
665C4—361no—
666C4—361no—
667C4—361no—
668C4—361no—
669C3#7531914yescomplemented
670C2—184no—
671C2—362no—
672C2—721no—
673C2#1059599511yescharacteristic
674C2D4×C4⋊(C3⋊D3)11yescharacteristic
675C2#1059604711yescharacteristic
676C2#1059610211yescharacteristic
677C2C3⋊D3×#12311yescharacteristic
678C2#1059616311yescharacteristic
679C2#1059618011yescharacteristic
subgroupG/H
center, FrattiniC23C23×C3⋊D3
commutator, socle, cosocleC23×C32C24
FittingC32×#387C2
prime radicalC2×#64104C2
hypercenter#387C3⋊D3
hypocenterC32#2443
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ #387

Complements

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

NH ≅ G/Ntype
2. C2×#64103C2semidirect
3. C2×C4⋊C4×C3⋊D3C2semidirect
4. C2×C4×C4⋊(C3⋊D3)C2semidirect
5. C32×#387C2semidirect
6. #10592680C2semidirect
7. #10592639C2semidirect
8. #10592376C2semidirect
9. #10592373C2semidirect
10. #10592371C2semidirect
11. #10592367C2semidirect
12. #10592367C2semidirect
13. #10592364C2semidirect
14. #10592364C2semidirect
15. #10592364C2semidirect
60. C3×#387D3semidirect
108. C32×C4⋊C4D4semidirect
241. #387C3⋊D3semidirect
284. C3×C4⋊C4D12semidirect
330. C2×C3⋊D3#123semidirect
500. C4⋊C4C4⋊(C3⋊D3)semidirect
553. C32#2443semidirect
669. C3#75319semidirect

Maximal subgroups

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

subgroupindex
C2×#641042
C2×#641032
C2×C4⋊C4×C3⋊D32
C2×C4×C4⋊(C3⋊D3)2
C32×#3872
#105926802
#105926392
#105923762
#105923732
#105923712
#105923672
#105923642
#753193