Finite Group Databasebeta

← C3×#71565 #11773355

Subgroups — C3×#71565 #11773355

Order 1152.

1337 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×C4⋊C4C211yesmaximal, characteristic
2C22×C3×C4⋊Dic3C211yesmaximal, characteristic
3C2×C3×C3⋊#95C212yesmaximal
4C2×C3×C3⋊#95C212yesmaximal
5C2×C3×C3⋊#95C211yesmaximal, characteristic
6C3×#1441—31nomaximal
7#71565C311yesmaximal, characteristic, direct product factor
8C23×C32×C4C2211yescharacteristic
9C23×C32×C4C2211yescharacteristic
10C23×C32×C4C2211yescharacteristic
11C23×C3×Dic3C2212yes—
12C23×C3×Dic3C2212yes—
13C2×C32×C4⋊C4—22no—
14C2×C32×C4⋊C4—22no—
15C2×C32×C4⋊C4C414yescomplemented
16C2×C3×C4⋊Dic3—22no—
17C2×C3×C4⋊Dic3—24no—
18C3×C3⋊#95—24no—
19C3×C3⋊#95—22no—
20C3×C3⋊#95—24no—
21C22×C3×C4⋊C4—21no—
22C22×C3×C4⋊C4—31no—
23C22×C3×C4⋊C4D311yescharacteristic
24C22×C3×C4⋊C4C2×C311yescharacteristic
25C22×C4⋊Dic3C2×C311yescharacteristic
26C2×C3×#95—32no—
27C2×C3×#95—32no—
28C2×C3×#95—31no—
29C2×C3⋊#95C2×C312yes—
30C2×C3⋊#95C2×C311yescharacteristic
31C2×C3⋊#95C2×C312yes—
32C24×C32C2311yescharacteristic
33C22×C32×C4—21no—
34C22×C32×C4—21no—
35C22×C32×C4—22no—
36C22×C32×C4—21no—
37C22×C32×C4—21no—
38C22×C32×C4—22no—
39C22×C32×C4—21no—
40C22×C32×C4—21no—
41C22×C32×C4—22no—
42C22×C32×C4—22no—
43C22×C32×C4C2×C412yes—
44C22×C32×C4C2×C412yes—
45C22×C32×C4C2×C412yes—
46C22×C32×C4D412yes—
47C22×C32×C4D412yes—
48C22×C32×C4D412yes—
49C22×C32×C4Q812yes—
50C22×C3×Dic3—22no—
51C22×C3×Dic3—22no—
52C22×C3×Dic3—22no—
53C22×C3×Dic3—22no—
54C22×C3×Dic3—22no—
55C22×C3×Dic3—22no—
56C22×C3×Dic3—22no—
57C22×C3×Dic3—22no—
58C22×C3×Dic3—22no—
59C22×C3×Dic3—22no—
60C22×C3×Dic3—22no—
61C22×C3×Dic3—22no—
62C22×C3×Dic3D414yes—
63C22×C3×Dic3Q814yes—
64C32×C4⋊C4—28no—
65C3×C4⋊Dic3—28no—
66#1441—31noSylow
67C23×C3×C4—21no—
68C23×C3×C4—21no—
69C23×C3×C4—21no—
70C23×C3×C4—32no—
71C23×C3×C4—32no—
72C23×C3×C4C2×D311yescharacteristic
73C23×C3×C4C2×D311yescharacteristic
74C23×C3×C4C2×D311yescharacteristic
75C23×C3×C4C22×C311yescharacteristic
76C23×C3×C4C22×C311yescharacteristic
77C23×C3×C4C22×C311yescharacteristic
78C23×Dic3C22×C312yes—
79C23×Dic3C22×C312yes—
80C2×C3×C4⋊C4—24no—
81C2×C3×C4⋊C4—24no—
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—22no—
84C2×C3×C4⋊C4—22no—
85C2×C3×C4⋊C4—22no—
86C2×C3×C4⋊C4—24no—
87C2×C3×C4⋊C4—64no—
88C2×C3×C4⋊C4—62no—
89C2×C3×C4⋊C4Dic314yescomplemented
90C2×C3×C4⋊C4C3×C414yescomplemented
91C2×C4⋊Dic3—22no—
92C2×C4⋊Dic3—24no—
93C3×#95—64no—
94C3×#95—64no—
95C3×#95—62no—
96C3⋊#95—24no—
97C3⋊#95—22no—
98C3⋊#95—24no—
99C23×C32C22×C411yescharacteristic
100C23×C32C2×D411yescharacteristic
101C23×C32C2×D412yes—
102C23×C32C2×D411yescharacteristic
103C23×C32C2×D411yescharacteristic
104C23×C32C2×Q811yescharacteristic
105C23×C32C2×Q812yes—
106C23×C32#4111yescharacteristic
107C23×C32#4111yescharacteristic
108C23×C32#4112yes—
109C23×C32#4112yes—
110C2×C32×C4—22no—
111C2×C32×C4—22no—
112C2×C32×C4—22no—
113C2×C32×C4—22no—
114C2×C32×C4—22no—
115C2×C32×C4—22no—
116C2×C32×C4—22no—
117C2×C32×C4—24no—
118C2×C32×C4—22no—
119C2×C32×C4—24no—
120C2×C32×C4—22no—
121C2×C32×C4—24no—
122C2×C32×C4—41no—
123C2×C32×C4—42no—
124C2×C32×C4—41no—
125C2×C32×C4C22⋊C414yes—
126C2×C32×C4C4⋊C414yescomplemented
127C2×C3×Dic3—24no—
128C2×C3×Dic3—24no—
129C2×C3×Dic3—24no—
130C2×C3×Dic3—24no—
131C2×C3×Dic3—24no—
132C2×C3×Dic3—24no—
133C2×C3×Dic3—42no—
134C2×C3×Dic3—42no—
135C2×C3×Dic3—42no—
136C2×C3×Dic3—42no—
137C2×C3×Dic3—42no—
138C2×C3×Dic3—42no—
139C2×C3×Dic3—42no—
140C2×C3×Dic3—42no—
141C22×C4⋊C4—31no—
142C22×C4⋊C4C3×D311yescharacteristic
143C2×#95—32no—
144C2×#95—32no—
145C2×#95—31no—
146C24×C3—21no—
147C24×C3C22×D311yescharacteristic
148C24×C3C23×C311yescharacteristic
149C22×C3×C4—22no—
150C22×C3×C4—22no—
151C22×C3×C4—22no—
152C22×C3×C4—22no—
153C22×C3×C4—21no—
154C22×C3×C4—21no—
155C22×C3×C4—22no—
156C22×C3×C4—22no—
157C22×C3×C4—21no—
158C22×C3×C4—21no—
159C22×C3×C4—22no—
160C22×C3×C4—21no—
161C22×C3×C4—21no—
162C22×C3×C4—21no—
163C22×C3×C4—21no—
164C22×C3×C4—22no—
165C22×C3×C4—22no—
166C22×C3×C4—22no—
167C22×C3×C4—22no—
168C22×C3×C4—22no—
169C22×C3×C4—21no—
170C22×C3×C4—21no—
171C22×C3×C4—22no—
172C22×C3×C4—21no—
173C22×C3×C4—21no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—34no—
183C22×C3×C4—34no—
184C22×C3×C4—42no—
185C22×C3×C4—42no—
186C22×C3×C4—42no—
187C22×C3×C4—42no—
188C22×C3×C4—62no—
189C22×C3×C4—62no—
190C22×C3×C4—62no—
191C22×C3×C4—62no—
192C22×C3×C4—62no—
193C22×C3×C4—62no—
194C22×C3×C4—62no—
195C22×C3×C4—62no—
196C22×C3×C4—62no—
197C22×C3×C4—62no—
198C22×C3×C4—62no—
199C22×C3×C4—62no—
200C22×C3×C4Dic612yes—
201C22×C3×C4D1212yes—
202C22×C3×C4C2×Dic312yes—
203C22×C3×C4C2×Dic312yes—
204C22×C3×C4C2×Dic312yes—
205C22×C3×C4#6712yes—
206C22×C3×C4#6712yes—
207C22×C3×C4C2×C3×C412yes—
208C22×C3×C4C2×C3×C412yes—
209C22×C3×C4C2×C3×C412yes—
210C22×C3×C4C3×D412yes—
211C22×C3×C4C3×D412yes—
212C22×C3×C4C3×D412yes—
213C22×C3×C4C3×Q812yes—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3—22no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—22no—
220C22×Dic3—22no—
221C22×Dic3—22no—
222C22×Dic3—22no—
223C22×Dic3—22no—
224C22×Dic3—22no—
225C22×Dic3—22no—
226C22×Dic3C3×D414yes—
227C22×Dic3C3×Q814yes—
228C3×C4⋊C4—216no—
229C3×C4⋊C4—28no—
230C3×C4⋊C4—28no—
231C3×C4⋊C4—68no—
232C4⋊Dic3—28no—
233C22×C32C2×C22⋊C411yescharacteristic
234C22×C32C2×C4⋊C411yescharacteristic
235C22×C32#11711yescharacteristic
236C22×C32C4×D412yes—
237C22×C32C4×Q812yes—
238C22×C32#12011yescharacteristic
239C22×C32#12112yes—
240C22×C32#12111yescharacteristic
241C22×C32#12111yescharacteristic
242C22×C32#12112yes—
243C22×C32C22⋊Q812yes—
244C22×C32C22⋊Q812yes—
245C22×C32C22⋊Q811yescharacteristic
246C22×C32C22⋊Q811yescharacteristic
247C22×C32C22⋊Q812yes—
248C22×C32#12312yes—
249C22×C32#12311yescharacteristic
250C22×C32#12411yescharacteristic
251C22×C32#12512yes—
252C22×C32#12512yes—
253C22×C32#12612yes—
254C22×C32C4⋊Q812yes—
255C22×C32C4⋊Q811yescharacteristic
256C32×C4—24no—
257C32×C4—24no—
258C32×C4—42no—
259C3×Dic3—44no—
260C3×Dic3—44no—
261C23×C4—32no—
262C23×C4—32no—
263C23×C4C2×C3×D311yescharacteristic
264C23×C4C2×C3×D311yescharacteristic
265C23×C4C2×C3×D311yescharacteristic
266C2×C4⋊C4—22no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—64no—
269C2×C4⋊C4—62no—
270C2×C4⋊C4C3×Dic314yescomplemented
271#95—64no—
272#95—64no—
273#95—62no—
274C23×C3—21no—
275C23×C3—21no—
276C23×C3—21no—
277C23×C3—21no—
278C23×C3—22no—
279C23×C3—22no—
280C23×C3—22no—
281C23×C3—22no—
282C23×C3—21no—
283C23×C3—21no—
284C23×C3—21no—
285C23×C3C2×Dic611yescharacteristic
286C23×C3C2×D1211yescharacteristic
287C23×C3#23511yescharacteristic
288C23×C3#23511yescharacteristic
289C23×C3D3×D412yes—
290C23×C3#23712yes—
291C23×C3D3×Q812yes—
292C23×C3#23912yes—
293C23×C3C22×Dic311yescharacteristic
294C23×C3C2×#6711yescharacteristic
295C23×C3C2×#6711yescharacteristic
296C23×C3C22×C3×C411yescharacteristic
297C23×C3C2×C3×D411yescharacteristic
298C23×C3C2×C3×D412yes—
299C23×C3C2×C3×D411yescharacteristic
300C23×C3C2×C3×D411yescharacteristic
301C23×C3C2×C3×Q811yescharacteristic
302C23×C3C2×C3×Q812yes—
303C23×C3C3×#4111yescharacteristic
304C23×C3C3×#4111yescharacteristic
305C23×C3C3×#4112yes—
306C23×C3C3×#4112yes—
307C2×C3×C4—24no—
308C2×C3×C4—24no—
309C2×C3×C4—24no—
310C2×C3×C4—24no—
311C2×C3×C4—24no—
312C2×C3×C4—24no—
313C2×C3×C4—22no—
314C2×C3×C4—22no—
315C2×C3×C4—22no—
316C2×C3×C4—22no—
317C2×C3×C4—22no—
318C2×C3×C4—24no—
319C2×C3×C4—22no—
320C2×C3×C4—22no—
321C2×C3×C4—24no—
322C2×C3×C4—22no—
323C2×C3×C4—22no—
324C2×C3×C4—22no—
325C2×C3×C4—24no—
326C2×C3×C4—22no—
327C2×C3×C4—22no—
328C2×C3×C4—22no—
329C2×C3×C4—24no—
330C2×C3×C4—22no—
331C2×C3×C4—22no—
332C2×C3×C4—22no—
333C2×C3×C4—24no—
334C2×C3×C4—24no—
335C2×C3×C4—22no—
336C2×C3×C4—22no—
337C2×C3×C4—24no—
338C2×C3×C4—24no—
339C2×C3×C4—24no—
340C2×C3×C4—44no—
341C2×C3×C4—42no—
342C2×C3×C4—42no—
343C2×C3×C4—44no—
344C2×C3×C4—44no—
345C2×C3×C4—42no—
346C2×C3×C4—42no—
347C2×C3×C4—44no—
348C2×C3×C4—41no—
349C2×C3×C4—41no—
350C2×C3×C4—42no—
351C2×C3×C4—41no—
352C2×C3×C4—42no—
353C2×C3×C4—41no—
354C2×C3×C4—64no—
355C2×C3×C4—64no—
356C2×C3×C4—64no—
357C2×C3×C4—64no—
358C2×C3×C4—64no—
359C2×C3×C4—64no—
360C2×C3×C4—122no—
361C2×C3×C4—122no—
362C2×C3×C4—122no—
363C2×C3×C4—122no—
364C2×C3×C4—122no—
365C2×C3×C4—122no—
366C2×C3×C4—122no—
367C2×C3×C4—122no—
368C2×C3×C4C4⋊Dic314yescomplemented
369C2×C3×C4#21714yes—
370C2×C3×C4C3×C22⋊C414yes—
371C2×C3×C4C3×C4⋊C414yescomplemented
372C2×Dic3—24no—
373C2×Dic3—24no—
374C2×Dic3—24no—
375C2×Dic3—24no—
376C2×Dic3—24no—
377C2×Dic3—24no—
378C2×Dic3—42no—
379C2×Dic3—42no—
380C2×Dic3—42no—
381C2×Dic3—42no—
382C2×Dic3—42no—
383C2×Dic3—42no—
384C2×Dic3—42no—
385C2×Dic3—42no—
386C2×C32#38011yescharacteristic
387C2×C32#38611yescharacteristic
388C2×C32#38712yes—
389C2×C32#38912yes—
390C2×C32#39111yescharacteristic
391C2×C32#39411yescharacteristic
392C2×C32#39511yescharacteristic
393C2×C32#39612yes—
394C2×C32#39811yescharacteristic
395C2×C32#39812yes—
396C2×C32#40011yescharacteristic
397C24C22×C3×D311yescharacteristic
398C22×C4—21no—
399C22×C4—21no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—21no—
403C22×C4—21no—
404C22×C4—22no—
405C22×C4—22no—
406C22×C4—21no—
407C22×C4—21no—
408C22×C4—34no—
409C22×C4—34no—
410C22×C4—62no—
411C22×C4—62no—
412C22×C4—62no—
413C22×C4—62no—
414C22×C4—62no—
415C22×C4—62no—
416C22×C4—62no—
417C22×C4—62no—
418C22×C4—62no—
419C22×C4—62no—
420C22×C4—62no—
421C22×C4—62no—
422C22×C4C3×Dic612yes—
423C22×C4C3×D1212yes—
424C22×C4C2×C3×Dic312yes—
425C22×C4C2×C3×Dic312yes—
426C22×C4C2×C3×Dic312yes—
427C22×C4C3×#6712yes—
428C22×C4C3×#6712yes—
429C4⋊C4—28no—
430C4⋊C4—68no—
431C22×C3—22no—
432C22×C3—22no—
433C22×C3—22no—
434C22×C3—22no—
435C22×C3—22no—
436C22×C3—22no—
437C22×C3—22no—
438C22×C3—22no—
439C22×C3—21no—
440C22×C3—21no—
441C22×C3—21no—
442C22×C3—21no—
443C22×C3—21no—
444C22×C3—21no—
445C22×C3—22no—
446C22×C3—21no—
447C22×C3—21no—
448C22×C3—22no—
449C22×C3—21no—
450C22×C3—22no—
451C22×C3—22no—
452C22×C3—21no—
453C22×C3—21no—
454C22×C3#88812yes—
455C22×C3#88912yes—
456C22×C3#89012yes—
457C22×C3#89412yes—
458C22×C3#89512yes—
459C22×C3#89612yes—
460C22×C3#89712yes—
461C22×C3#89812yes—
462C22×C3#92411yescharacteristic
463C22×C3#92411yescharacteristic
464C22×C3C2×C4⋊Dic311yescharacteristic
465C22×C3#92611yescharacteristic
466C22×C3#93011yescharacteristic
467C22×C3#93011yescharacteristic
468C22×C3D4×Dic312yes—
469C22×C3#93511yescharacteristic
470C22×C3#93711yescharacteristic
471C22×C3#93912yes—
472C22×C3#94411yescharacteristic
473C22×C3Q8×Dic312yes—
474C22×C3#94612yes—
475C22×C3#94711yescharacteristic
476C22×C3C2×#21711yescharacteristic
477C22×C3C2×C3×C22⋊C411yescharacteristic
478C22×C3C2×C3×C4⋊C411yescharacteristic
479C22×C3C3×#11711yescharacteristic
480C22×C3C3×C4×D412yes—
481C22×C3C3×C4×Q812yes—
482C22×C3C3×#12011yescharacteristic
483C22×C3C3×#12112yes—
484C22×C3C3×#12111yescharacteristic
485C22×C3C3×#12111yescharacteristic
486C22×C3C3×#12112yes—
487C22×C3C3×C22⋊Q812yes—
488C22×C3C3×C22⋊Q812yes—
489C22×C3C3×C22⋊Q811yescharacteristic
490C22×C3C3×C22⋊Q811yescharacteristic
491C22×C3C3×C22⋊Q812yes—
492C22×C3C3×#12312yes—
493C22×C3C3×#12311yescharacteristic
494C22×C3C3×#12411yescharacteristic
495C22×C3C3×#12512yes—
496C22×C3C3×#12512yes—
497C22×C3C3×#12612yes—
498C22×C3C3×C4⋊Q812yes—
499C22×C3C3×C4⋊Q811yescharacteristic
500C3×C4—28no—
501C3×C4—24no—
502C3×C4—24no—
503C3×C4—24no—
504C3×C4—24no—
505C3×C4—44no—
506C3×C4—44no—
507C3×C4—42no—
508C3×C4—42no—
509C3×C4—124no—
510C3×C4—124no—
511Dic3—44no—
512Dic3—44no—
513C32#144111yescharacteristic, complemented, Sylow
514C23C2×C3×Dic611yescharacteristic
515C23C2×C3×D1211yescharacteristic
516C23C3×#23511yescharacteristic
517C23C3×#23511yescharacteristic
518C23C3×D3×D412yes—
519C23C3×#23712yes—
520C23C3×D3×Q812yes—
521C23C3×#23912yes—
522C23C22×C3×Dic311yescharacteristic
523C23C2×C3×#6711yescharacteristic
524C23C2×C3×#6711yescharacteristic
525C2×C4—22no—
526C2×C4—22no—
527C2×C4—22no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—24no—
531C2×C4—22no—
532C2×C4—22no—
533C2×C4—24no—
534C2×C4—22no—
535C2×C4—24no—
536C2×C4—22no—
537C2×C4—41no—
538C2×C4—41no—
539C2×C4—42no—
540C2×C4—64no—
541C2×C4—64no—
542C2×C4—64no—
543C2×C4—64no—
544C2×C4—64no—
545C2×C4—64no—
546C2×C4—122no—
547C2×C4—122no—
548C2×C4—122no—
549C2×C4—122no—
550C2×C4—122no—
551C2×C4—122no—
552C2×C4—122no—
553C2×C4—122no—
554C2×C4C3×C4⋊Dic314yescomplemented
555C2×C4C3×#21714yes—
556C2×C3—21no—
557C2×C3—21no—
558C2×C3—21no—
559C2×C3—21no—
560C2×C3—22no—
561C2×C3—21no—
562C2×C3—22no—
563C2×C3—22no—
564C2×C3—21no—
565C2×C3—21no—
566C2×C3—22no—
567C2×C3#497911yescharacteristic
568C2×C3#498012yes—
569C2×C3#498111yescharacteristic
570C2×C3#498212yes—
571C2×C3#498412yes—
572C2×C3#498611yescharacteristic
573C2×C3#499111yescharacteristic
574C2×C3#499412yes—
575C2×C3#521211yescharacteristic
576C2×C3#522011yescharacteristic
577C2×C3#522911yescharacteristic
578C2×C3C3×#38011yescharacteristic
579C2×C3C3×#38611yescharacteristic
580C2×C3C3×#38712yes—
581C2×C3C3×#38912yes—
582C2×C3C3×#39111yescharacteristic
583C2×C3C3×#39411yescharacteristic
584C2×C3C3×#39511yescharacteristic
585C2×C3C3×#39612yes—
586C2×C3C3×#39811yescharacteristic
587C2×C3C3×#39812yes—
588C2×C3C3×#40011yescharacteristic
589C22C3×#88812yes—
590C22C3×#88912yes—
591C22C3×#89012yes—
592C22C3×#89412yes—
593C22C3×#89512yes—
594C22C3×#89612yes—
595C22C3×#89712yes—
596C22C3×#89812yes—
597C22C3×#92411yescharacteristic
598C22C3×#92411yescharacteristic
599C22C2×C3×C4⋊Dic311yescharacteristic
600C22C3×#92611yescharacteristic
601C22C3×#93011yescharacteristic
602C22C3×#93011yescharacteristic
603C22C3×D4×Dic312yes—
604C22C3×#93511yescharacteristic
605C22C3×#93711yescharacteristic
606C22C3×#93912yes—
607C22C3×#94411yescharacteristic
608C22C3×Q8×Dic312yes—
609C22C3×#94612yes—
610C22C3×#94711yescharacteristic
611C22C2×C3×#21711yescharacteristic
612C4—24no—
613C4—24no—
614C4—42no—
615C4—124no—
616C4—124no—
617C3—21no—
618C3#7156511yescharacteristic, direct product factor
619C3C3×#144111yescharacteristic, complemented
620C2C3×#497911yescharacteristic
621C2C3×#498012yes—
622C2C3×#498111yescharacteristic
623C2C3×#498212yes—
624C2C3×#498412yes—
625C2C3×#498611yescharacteristic
626C2C3×#499111yescharacteristic
627C2C3×#499412yes—
628C2C3×#521211yescharacteristic
629C2C3×#522011yescharacteristic
630C2C3×#522911yescharacteristic
subgroupG/H
centerC24×C3C22×D3
commutatorC23×C3C22×C3×C4
FrattiniC24C22×C3×D3
FittingC22×C32×C4⋊C4C2
socle, prime radicalC24×C32C23
cosocleC24×C3C23×C3
hypercenterC22×C3×C4⋊C4D3
hypocenterC3C3×#1441
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24×C3 ◁ C22×C3×C4⋊C4

Complements

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

NH ≅ G/Ntype
7. #71565C3direct (N × H)
15. C2×C32×C4⋊C4C4semidirect
89. C2×C3×C4⋊C4Dic3semidirect
90. C2×C3×C4⋊C4C3×C4semidirect
126. C2×C32×C4C4⋊C4semidirect
270. C2×C4⋊C4C3×Dic3semidirect
368. C2×C3×C4C4⋊Dic3semidirect
371. C2×C3×C4C3×C4⋊C4semidirect
513. C32#1441semidirect
554. C2×C4C3×C4⋊Dic3semidirect
618. C3#71565direct (N × H)
619. C3C3×#1441semidirect

Maximal subgroups

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

subgroupindex
C22×C32×C4⋊C42
C22×C3×C4⋊Dic32
C2×C3×C3⋊#952
C3×#14413
#715653