Finite Group Databasebeta

← C2×C3×#63831 #13174429

Subgroups — C2×C3×#63831 #13174429

Order 1728.

1474 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#634C211yesmaximal, characteristic, complemented
2C2×C32×#235C211yesmaximal, characteristic
3C2×C32×#208C211yesmaximal, characteristic, complemented
4C2×C3×#3719C212yesmaximal, complemented
5C3×#63831C218yesmaximal, direct product factor
6C2×C3×#3716C212yesmaximal, complemented
7C2×C3×#951—31nomaximal
8C2×C3×#909—31nomaximal
9C2×#63831C311yesmaximal, characteristic, direct product factor
10C22×C33×C4C2211yescharacteristic
11C22×C3×C3⋊Dic3—21no—
12C2×C3×#634—22no—
13C2×C3×#634—21no—
14C2×C3×#634C2212yes—
15C2×C3×#634C2214yescomplemented
16C2×C32×#67—21no—
17C32×#235—22no—
18C32×#235C2214yes—
19C2×C32×D12C2211yescharacteristic
20C2×C32×C4×D3—21no—
21C2×C32×Dic6C2211yescharacteristic
22C32×#208C2214yescomplemented
23C2×C32×C3⋊C8C2212yes—
24C3×#3719C2218yescomplemented
25C3×#3716C2218yescomplemented
26C2×C32×#41—31no—
27C22×#634C2×C311yescharacteristic, complemented
28C2×C3×#235—21no—
29C2×C3×#235D311yescharacteristic
30C2×C3×#235C2×C311yescharacteristic
31C22×C3×Dic6—31no—
32C22×C3×Dic6—31no—
33C22×C3×Dic6—61no—
34C2×C32×M16—31no—
35C3×#951—38no—
36C2×C3×#216—32no—
37C2×C3×#214—32no—
38C2×C3×#208—21no—
39C2×C3×#208D311yescharacteristic, complemented
40C2×C3×#208C2×C311yescharacteristic, complemented
41C3×#909—38no—
42C2×C3×Dic12—32no—
43C2×C3×#204—32no—
44C2×#3719C2×C312yescomplemented
45#63831C2×C318yesdirect product factor
46C2×#3716C2×C312yescomplemented
47C23×C33D411yescharacteristic
48C22×C32×D3—21no—
49C2×C33×C4D411yescharacteristic
50C2×C33×C4D412yes—
51C2×C33×C4C2311yescharacteristic
52C2×C33×C4C2312yes—
53C2×C3×C3⋊Dic3—22no—
54C2×C3×C3⋊Dic3—24no—
55C3×#634—22no—
56C3×#634—24no—
57C3×#634C2314yes—
58C32×#67—24no—
59C2×C32×Dic3—21no—
60C32×D12—21no—
61C32×D12C2312yes—
62C32×C4×D3—24no—
63C32×Dic6—21no—
64C32×Dic6C2312yes—
65C32×C3⋊C8C2314yes—
66C2×C3×#137—91no—
67C2×#951—31no—
68C2×#909—31no—
69C32×#41—34no—
70C32×#41—62no—
71C2×C32×Q8—31no—
72C2×C32×D4—31no—
73C2×C32×D4—61no—
74C22×C32×C4—21no—
75C22×C32×C4—21no—
76C22×C32×C4—21no—
77C22×C32×C4—41no—
78C22×C32×C4—61no—
79C22×C32×C4C2×D311yescharacteristic
80C22×C32×C4C2×D311yescharacteristic
81C22×C32×C4C22×C311yescharacteristic
82C22×C3⋊Dic3—21no—
83C2×#634—22no—
84C2×#634—21no—
85C2×#634C22×C312yes—
86C2×#634C22×C314yescomplemented
87C2×C3×#67—22no—
88C2×C3×#67—21no—
89C2×C3×#67—21no—
90C22×C3×Dic3—62no—
91C22×C3×Dic3—61no—
92C22×C3×Dic3—61no—
93C3×#235—24no—
94C3×#235—24no—
95C3×#235—22no—
96C3×#235—22no—
97C3×#235C2×D314yes—
98C3×#235C22×C314yes—
99C2×C3×D12—21no—
100C2×C3×D12C2×D311yescharacteristic
101C2×C3×D12C22×C311yescharacteristic
102C2×C3×C4×D3—22no—
103C2×C3×C4×D3—21no—
104C2×C3×C4×D3—21no—
105C2×C3×Dic6—21no—
106C2×C3×Dic6—32no—
107C2×C3×Dic6—34no—
108C2×C3×Dic6—32no—
109C2×C3×Dic6—34no—
110C2×C3×Dic6—62no—
111C2×C3×Dic6—64no—
112C2×C3×Dic6—64no—
113C2×C3×Dic6—62no—
114C2×C3×Dic6—61no—
115C2×C3×Dic6—62no—
116C2×C3×Dic6—61no—
117C2×C3×Dic6—62no—
118C2×C3×Dic6C2×D311yescharacteristic
119C2×C3×Dic6C22×C311yescharacteristic
120C32×M16—34no—
121C2×C32×C8—32no—
122C3×#216—38no—
123C3×#214—38no—
124C3×#208—24no—
125C3×#208C2×D314yescomplemented
126C3×#208C22×C314yescomplemented
127C2×C3×C3⋊C8—22no—
128C2×C3×C3⋊C8C2×D312yes—
129C2×C3×C3⋊C8C22×C312yes—
130C3×Dic12—38no—
131C3×#204—38no—
132#3719C22×C318yescomplemented
133#3716C22×C318yescomplemented
134C22×C33—22no—
135C22×C33C2×D412yes—
136C22×C33C2×D411yescharacteristic
137C2×C32×D3—22no—
138C2×C32×D3—42no—
139C33×C4C2×D411yescharacteristic
140C33×C4C2×D412yes—
141C33×C4C2411yescharacteristic
142C3×C3⋊Dic3—24no—
143C32×Dic3—22no—
144C2×C3×#41—31no—
145C2×C3×#41—31no—
146C2×C3×#41—61no—
147C22×C3×Q8—91no—
148C2×#235C3×D311yescharacteristic
149C22×Dic6—31no—
150C22×Dic6—31no—
151C22×Dic6—61no—
152C3×#137—98no—
153C2×C3×Q16—92no—
154C2×C3×SD16—92no—
155C2×C3×M16—31no—
156C2×C3×M16—31no—
157C2×C3×M16—61no—
158#951—38no—
159C2×#216—32no—
160C2×#214—32no—
161C2×#208C3×D311yescharacteristic, complemented
162#909—38no—
163C2×Dic12—32no—
164C2×#204—32no—
165C23×C32—21no—
166C23×C32—21no—
167C23×C32—21no—
168C23×C32—41no—
169C23×C32—61no—
170C23×C32D1211yescharacteristic
171C23×C32#6711yescharacteristic
172C23×C32C3×D411yescharacteristic
173C22×C3×D3—22no—
174C22×C3×D3—21no—
175C22×C3×D3—21no—
176C32×Q8—32no—
177C32×Q8—61no—
178C32×D4—32no—
179C32×D4—64no—
180C32×D4—61no—
181C2×C32×C4—22no—
182C2×C32×C4—21no—
183C2×C32×C4—21no—
184C2×C32×C4—22no—
185C2×C32×C4—21no—
186C2×C32×C4—22no—
187C2×C32×C4—22no—
188C2×C32×C4—21no—
189C2×C32×C4—21no—
190C2×C32×C4—22no—
191C2×C32×C4—21no—
192C2×C32×C4—22no—
193C2×C32×C4—41no—
194C2×C32×C4—42no—
195C2×C32×C4—41no—
196C2×C32×C4—42no—
197C2×C32×C4—61no—
198C2×C32×C4—64no—
199C2×C32×C4D1211yescharacteristic
200C2×C32×C4D1212yes—
201C2×C32×C4#6711yescharacteristic
202C2×C32×C4#6712yes—
203C2×C32×C4C3×D411yescharacteristic
204C2×C32×C4C3×D412yes—
205C2×C32×C4C22×D311yescharacteristic
206C2×C32×C4C22×D312yes—
207C2×C32×C4C22×D311yescharacteristic
208C2×C32×C4C22×D312yes—
209C2×C32×C4C23×C311yescharacteristic
210C2×C32×C4C23×C312yes—
211C2×C3⋊Dic3—22no—
212C2×C3⋊Dic3—24no—
213#634—22no—
214#634—24no—
215#634C23×C314yes—
216C3×#67—28no—
217C3×#67—24no—
218C3×#67—24no—
219C2×C3×Dic3—22no—
220C2×C3×Dic3—21no—
221C2×C3×Dic3—21no—
222C2×C3×Dic3—68no—
223C2×C3×Dic3—64no—
224C2×C3×Dic3—64no—
225C2×C3×Dic3—62no—
226C2×C3×Dic3—64no—
227C2×C3×Dic3—62no—
228C3×D12—22no—
229C3×D12—21no—
230C3×D12—21no—
231C3×D12—22no—
232C3×D12C22×D312yes—
233C3×D12C23×C312yes—
234C3×C4×D3—28no—
235C3×C4×D3—24no—
236C3×C4×D3—24no—
237C3×Dic6—22no—
238C3×Dic6—21no—
239C3×Dic6—21no—
240C3×Dic6—22no—
241C3×Dic6—34no—
242C3×Dic6—34no—
243C3×Dic6—64no—
244C3×Dic6—64no—
245C3×Dic6—68no—
246C3×Dic6—64no—
247C3×Dic6—62no—
248C3×Dic6—62no—
249C3×Dic6—64no—
250C3×Dic6C22×D312yes—
251C3×Dic6C23×C312yes—
252C32×C8—34no—
253C3×C3⋊C8—24no—
254C3×C3⋊C8C22×D314yes—
255C3×C3⋊C8C23×C314yes—
256C2×#137—91noSylow
257C2×C33—22no—
258C2×C33#13712yescomplemented
259C2×C33C22×D411yescharacteristic
260C32×D3—42no—
261C3×#41—34no—
262C3×#41—34no—
263C3×#41—64no—
264C3×#41—64no—
265C3×#41—62no—
266C3×#41—62no—
267C2×C3×Q8—31no—
268C2×C3×Q8—31no—
269C2×C3×Q8—61no—
270C2×C3×Q8—92no—
271C2×C3×Q8—94no—
272C2×C3×Q8—182no—
273C2×C3×Q8—181no—
274C2×C3×D4—31no—
275C2×C3×D4—31no—
276C2×C3×D4—61no—
277C2×C3×D4—62no—
278C2×C3×D4—61no—
279C2×C3×D4—61no—
280C22×C3×C4—21no—
281C22×C3×C4—21no—
282C22×C3×C4—21no—
283C22×C3×C4—41no—
284C22×C3×C4—62no—
285C22×C3×C4—61no—
286C22×C3×C4—61no—
287C22×C3×C4—181no—
288C22×C3×C4D3211yescharacteristic
289C22×C3×C4C2×C3×D311yescharacteristic
290C22×C3×C4C2×C3×D311yescharacteristic
291C2×#67—21no—
292C22×Dic3—62no—
293C22×Dic3—61no—
294C22×Dic3—61no—
295#235—22no—
296#235C2×C3×D314yes—
297C2×D12C2×C3×D311yescharacteristic
298C2×C4×D3—21no—
299C2×Dic6—32no—
300C2×Dic6—34no—
301C2×Dic6—32no—
302C2×Dic6—34no—
303C2×Dic6—62no—
304C2×Dic6—64no—
305C2×Dic6—62no—
306C2×Dic6—64no—
307C2×Dic6—61no—
308C2×Dic6—62no—
309C2×Dic6—61no—
310C2×Dic6—62no—
311C2×Dic6C2×C3×D311yescharacteristic
312C3×Q16—98no—
313C3×SD16—98no—
314C3×M16—34no—
315C3×M16—34no—
316C3×M16—64no—
317C2×C3×C8—32no—
318C2×C3×C8—32no—
319C2×C3×C8—62no—
320#216—38no—
321#214—38no—
322#208C2×C3×D314yescomplemented
323C2×C3⋊C8C2×C3×D312yes—
324Dic12—38no—
325#204—38no—
326C22×C32—22no—
327C22×C32—24no—
328C22×C32—22no—
329C22×C32—22no—
330C22×C32—22no—
331C22×C32—21no—
332C22×C32—21no—
333C22×C32—22no—
334C22×C32—21no—
335C22×C32—22no—
336C22×C32—41no—
337C22×C32—42no—
338C22×C32—42no—
339C22×C32—42no—
340C22×C32—44no—
341C22×C32—62no—
342C22×C32—122no—
343C22×C32C2×D1212yes—
344C22×C32C2×D1211yescharacteristic
345C22×C32C2×#6712yes—
346C22×C32C2×#6711yescharacteristic
347C22×C32C2×C3×D412yes—
348C22×C32C2×C3×D411yescharacteristic
349C2×C3×D3—24no—
350C2×C3×D3—22no—
351C2×C3×D3—22no—
352C2×C3×D3—44no—
353C2×C3×D3—42no—
354C2×C3×D3—42no—
355C32×C4—21no—
356C32×C4—21no—
357C32×C4—21no—
358C32×C4—22no—
359C32×C4—21no—
360C32×C4—22no—
361C32×C4—21no—
362C32×C4—21no—
363C32×C4—22no—
364C32×C4—42no—
365C32×C4—41no—
366C32×C4—41no—
367C32×C4—62no—
368C32×C4C2×D1212yes—
369C32×C4C2×D1211yescharacteristic
370C32×C4C2×#6711yescharacteristic
371C32×C4C2×#6712yes—
372C32×C4C2×C3×D411yescharacteristic
373C32×C4C2×C3×D412yes—
374C32×C4C23×D311yescharacteristic
375C32×C4C23×D311yescharacteristic
376C32×C4C24×C311yescharacteristic
377C3⋊Dic3—24no—
378C3×Dic3—24no—
379C3×Dic3—22no—
380C3×Dic3—22no—
381C3×Dic3—68no—
382C3×Dic3—64no—
383C3×Dic3—64no—
384C2×#41—31no—
385C22×Q8—91no—
386#137—98no—
387C2×Q16—92no—
388C2×SD16—92no—
389C2×M16—31no—
390C33C2×#13711yescharacteristic, complemented, Sylow
391C23×C3—21no—
392C23×C3—21no—
393C23×C3—21no—
394C23×C3—41no—
395C23×C3—62no—
396C23×C3—61no—
397C23×C3—61no—
398C23×C3#62611yescharacteristic
399C23×C3C3×D1211yescharacteristic
400C23×C3C3×#6711yescharacteristic
401C22×D3—21no—
402C3×Q8—32no—
403C3×Q8—32no—
404C3×Q8—62no—
405C3×Q8—62no—
406C3×Q8—61no—
407C3×Q8—61no—
408C3×Q8—94no—
409C3×Q8—184no—
410C3×Q8—182no—
411C3×D4—32no—
412C3×D4—32no—
413C3×D4—62no—
414C3×D4—62no—
415C3×D4—68no—
416C3×D4—64no—
417C3×D4—64no—
418C3×D4—61no—
419C3×D4—61no—
420C2×C3×C4—21no—
421C2×C3×C4—22no—
422C2×C3×C4—21no—
423C2×C3×C4—22no—
424C2×C3×C4—21no—
425C2×C3×C4—22no—
426C2×C3×C4—21no—
427C2×C3×C4—22no—
428C2×C3×C4—21no—
429C2×C3×C4—22no—
430C2×C3×C4—21no—
431C2×C3×C4—22no—
432C2×C3×C4—41no—
433C2×C3×C4—42no—
434C2×C3×C4—41no—
435C2×C3×C4—42no—
436C2×C3×C4—68no—
437C2×C3×C4—62no—
438C2×C3×C4—61no—
439C2×C3×C4—61no—
440C2×C3×C4—64no—
441C2×C3×C4—64no—
442C2×C3×C4—184no—
443C2×C3×C4—182no—
444C2×C3×C4#62612yes—
445C2×C3×C4#62611yescharacteristic
446C2×C3×C4C3×D1211yescharacteristic
447C2×C3×C4C3×D1212yes—
448C2×C3×C4C3×#6711yescharacteristic
449C2×C3×C4C3×#6712yes—
450C2×C3×C4C2×D3212yes—
451C2×C3×C4C2×D3211yescharacteristic
452C2×C3×C4C22×C3×D311yescharacteristic
453C2×C3×C4C22×C3×D312yes—
454C2×C3×C4C22×C3×D311yescharacteristic
455C2×C3×C4C22×C3×D312yes—
456#67—24no—
457C2×Dic3—21no—
458C2×Dic3—64no—
459C2×Dic3—68no—
460C2×Dic3—64no—
461C2×Dic3—62no—
462C2×Dic3—64no—
463C2×Dic3—62no—
464D12—21no—
465D12C22×C3×D312yes—
466C4×D3—24no—
467Dic6—21no—
468Dic6—34no—
469Dic6—34no—
470Dic6—64no—
471Dic6—64no—
472Dic6—68no—
473Dic6—64no—
474Dic6—62no—
475Dic6—62no—
476Dic6—64no—
477Dic6C22×C3×D312yes—
478C3×C8—34no—
479C3×C8—34no—
480C3×C8—64no—
481C3⋊C8C22×C3×D314yes—
482C2×C32—22no—
483C2×C32—24no—
484C2×C32—22no—
485C2×C32—22no—
486C2×C32—22no—
487C2×C32—21no—
488C2×C32—22no—
489C2×C32—21no—
490C2×C32—22no—
491C2×C32—21no—
492C2×C32—42no—
493C2×C32—41no—
494C2×C32—42no—
495C2×C32—42no—
496C2×C32—44no—
497C2×C32—122no—
498C2×C32#90912yescomplemented
499C2×C32#95112yescomplemented
500C2×C32C3×#13712yescomplemented
501C2×C32C22×D1211yescharacteristic
502C2×C32C22×#6711yescharacteristic
503C2×C32C22×C3×D411yescharacteristic
504C3×D3—44no—
505C3×D3—42no—
506C3×D3—42no—
507#41—34no—
508#41—62no—
509C2×Q8—31no—
510C2×Q8—92no—
511C2×Q8—94no—
512C2×Q8—181no—
513C2×Q8—182no—
514C2×D4—31no—
515C2×D4—61no—
516C22×C4—61no—
517C22×C4—181no—
518C22×C4C3×D3211yescharacteristic
519Q16—98no—
520SD16—98no—
521M16—34no—
522C2×C8—32no—
523C22×C3—24no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—21no—
529C22×C3—21no—
530C22×C3—21no—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—42no—
534C22×C3—42no—
535C22×C3—44no—
536C22×C3—42no—
537C22×C3—41no—
538C22×C3—64no—
539C22×C3—62no—
540C22×C3—62no—
541C22×C3—124no—
542C22×C3—122no—
543C22×C3—122no—
544C22×C3C2×#62612yes—
545C22×C3C2×#62611yescharacteristic
546C22×C3C2×C3×D1212yes—
547C22×C3C2×C3×D1211yescharacteristic
548C22×C3C2×C3×#6712yes—
549C22×C3C2×C3×#6711yescharacteristic
550C2×D3—22no—
551C2×D3—42no—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—21no—
555C3×C4—22no—
556C3×C4—21no—
557C3×C4—22no—
558C3×C4—21no—
559C3×C4—22no—
560C3×C4—21no—
561C3×C4—41no—
562C3×C4—42no—
563C3×C4—41no—
564C3×C4—64no—
565C3×C4—62no—
566C3×C4—62no—
567C3×C4—184no—
568C3×C4C2×#62612yes—
569C3×C4C2×#62611yescharacteristic
570C3×C4C2×C3×D1212yes—
571C3×C4C2×C3×D1211yescharacteristic
572C3×C4C2×C3×#6711yescharacteristic
573C3×C4C2×C3×#6712yes—
574C3×C4C22×D3211yescharacteristic
575C3×C4C23×C3×D311yescharacteristic
576C3×C4C23×C3×D311yescharacteristic
577Dic3—22no—
578Dic3—68no—
579Dic3—64no—
580Dic3—64no—
581C32—21no—
582C32—21no—
583C32—21no—
584C32—41no—
585C32C2×#90911yescharacteristic, complemented
586C32C2×#95111yescharacteristic, complemented
587C32C2×C3×#13711yescharacteristic, complemented
588C23—61no—
589C23C3×#62611yescharacteristic
590Q8—32no—
591Q8—61no—
592Q8—94no—
593Q8—184no—
594Q8—182no—
595D4—32no—
596D4—64no—
597D4—61no—
598C2×C4—61no—
599C2×C4—64no—
600C2×C4—184no—
601C2×C4—182no—
602C2×C4C3×#62611yescharacteristic
603C2×C4C3×#62612yes—
604C2×C4C2×C3×D3211yescharacteristic
605C2×C4C2×C3×D3212yes—
606C8—34no—
607C2×C3—24no—
608C2×C3—22no—
609C2×C3—22no—
610C2×C3—22no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—22no—
615C2×C3—22no—
616C2×C3—22no—
617C2×C3—42no—
618C2×C3—42no—
619C2×C3—44no—
620C2×C3—41no—
621C2×C3—42no—
622C2×C3—124no—
623C2×C3—122no—
624C2×C3—122no—
625C2×C3#6383112yesdirect product factor
626C2×C3C3×#90912yescomplemented
627C2×C3C3×#95112yescomplemented
628C2×C3C22×#62611yescharacteristic
629C2×C3C22×C3×D1211yescharacteristic
630C2×C3C22×C3×#6711yescharacteristic
631D3—42no—
632C22—22no—
633C22—62no—
634C22—122no—
635C22C2×C3×#62612yes—
636C22C2×C3×#62611yescharacteristic
637C4—62no—
638C4—184no—
639C4C2×C3×#62612yes—
640C4C2×C3×#62611yescharacteristic
641C4C22×C3×D3211yescharacteristic
642C3—21no—
643C3—21no—
644C3—21no—
645C3—41no—
646C3C2×#6383111yescharacteristic, direct product factor
647C3C2×C3×#90911yescharacteristic, complemented
648C3C2×C3×#95111yescharacteristic, complemented
649C2—22no—
650C2—122no—
651C2C3×#6383112yesdirect product factor
652C2C22×C3×#62611yescharacteristic
subgroupG/H
centerC22×C3C2×#626
commutator, cosocleC32×C4C24×C3
FrattiniC4C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C2×D4
prime radicalC2×C32×#235C2
hypercenterC22×C3×C4D32
hypocenterC32C2×C3×#137
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C22×C3×#634C2semidirect
3. C2×C32×#208C2semidirect
4. C2×C3×#3719C2semidirect
5. C3×#63831C2direct (N × H)
6. C2×C3×#3716C2semidirect
9. C2×#63831C3direct (N × H)
15. C2×C3×#634C22semidirect
22. C32×#208C22semidirect
24. C3×#3719C22semidirect
25. C3×#3716C22semidirect
27. C22×#634C2×C3semidirect
39. C2×C3×#208D3semidirect
40. C2×C3×#208C2×C3semidirect
44. C2×#3719C2×C3semidirect
45. #63831C2×C3direct (N × H)
46. C2×#3716C2×C3semidirect
86. C2×#634C22×C3semidirect
125. C3×#208C2×D3semidirect
126. C3×#208C22×C3semidirect
132. #3719C22×C3semidirect
133. #3716C22×C3semidirect
161. C2×#208C3×D3semidirect
258. C2×C33#137semidirect
322. #208C2×C3×D3semidirect
390. C33C2×#137semidirect
498. C2×C32#909semidirect
499. C2×C32#951semidirect
500. C2×C32C3×#137semidirect
585. C32C2×#909semidirect
586. C32C2×#951semidirect
587. C32C2×C3×#137semidirect
625. C2×C3#63831direct (N × H)
626. C2×C3C3×#909semidirect
627. C2×C3C3×#951semidirect
646. C3C2×#63831direct (N × H)
647. C3C2×C3×#909semidirect
648. C3C2×C3×#951semidirect
651. C2C3×#63831direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#6342
C2×C32×#2352
C2×C32×#2082
C2×C3×#37192
C3×#638312
C2×C3×#37162
C2×C3×#9513
C2×C3×#9093
C2×#638313