Finite Group Databasebeta

← C2×#11723661 #13178512

Subgroups — C2×#11723661 #13178512

Order 1728.

1714 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3828C211yesmaximal, characteristic, complemented
2C22×C3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C2×C3×#3748C211yesmaximal, characteristic, complemented
4C2×#88811C212yesmaximal, complemented
5#11723661C218yesmaximal, direct product factor
6C2×#88810C212yesmaximal, complemented
7C2×#63830—31nomaximal
8C2×#63825—31nomaximal
9C2×#63823—31nomaximal
10C23×C3×C3⋊D3—21no—
11C22×C33×C4C2211yescharacteristic
12C2×C3×#638—21no—
13C3×#3828—22no—
14C3×#3828C2214yescomplemented
15C2×C3×C4⋊(C3⋊D3)—22no—
16C2×C3×C4⋊(C3⋊D3)—21no—
17C2×C3×C4⋊(C3⋊D3)C2212yes—
18C2×C3×C4⋊(C3⋊D3)C2214yescomplemented
19C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
20C2×C3×C4×C3⋊D3—21no—
21C2×C3×#634C2211yescharacteristic, complemented
22C3×#3748C2214yescomplemented
23C2×C3×C3⋊(C3⋊C8)C2212yescomplemented
24#88811C2218yescomplemented
25#88810C2218yescomplemented
26C2×#3828D311yescharacteristic, complemented
27C22×C4⋊(C3⋊D3)D311yescharacteristic, complemented
28C2×C3×#235—31no—
29C2×C3×#235—31no—
30C2×C3×#235—61no—
31C22×C3×D12—31no—
32C22×C3×D12—31no—
33C22×C3×D12—61no—
34C2×#3748D311yescharacteristic, complemented
35C2×C3×#208—31no—
36C2×C3×#208—31no—
37C2×C3×#208—61no—
38C2×#3717—32no—
39#63830—38no—
40C2×#3716—32no—
41C2×#3715—32no—
42#63825—38no—
43C2×#3714—32no—
44C2×#3714—32no—
45#63823—38no—
46C2×#3713—32no—
47C23×C33D411yescharacteristic
48C22×C3×C3⋊D3—22no—
49C22×C3×C3⋊D3—24no—
50C22×C3×C3⋊D3—21no—
51C22×C3×C3⋊D3—44no—
52C2×C33×C4D411yescharacteristic
53C2×C33×C4D412yes—
54C2×C33×C4C2311yescharacteristic
55C2×C33×C4C2312yes—
56C3×#638—24no—
57C2×C3×C3⋊Dic3—21no—
58C3×C4⋊(C3⋊D3)—22no—
59C3×C4⋊(C3⋊D3)—24no—
60C3×C4⋊(C3⋊D3)—21no—
61C3×C4⋊(C3⋊D3)C2314yes—
62C3×C4⋊(C3⋊D3)C2312yescomplemented
63C3×C4×C3⋊D3—24no—
64C3×#634—21no—
65C3×#634C2312yescomplemented
66C3×C3⋊(C3⋊C8)C2314yescomplemented
67C2×#949—91no—
68C2×#932—91no—
69C2×#908—91no—
70C23×C3⋊D3—21no—
71C23×C3×D3—62no—
72C23×C3×D3—61no—
73C23×C3×D3—61no—
74C22×C32×C4—21no—
75C22×C32×C4—21no—
76C22×C32×C4—21no—
77C22×C32×C4—41no—
78C22×C32×C4C2×D311yescharacteristic
79C22×C32×C4C2×D311yescharacteristic
80C22×C32×C4C2×D311yescharacteristic
81C2×#638—21no—
82#3828—22no—
83#3828C2×D314yescomplemented
84C2×C4⋊(C3⋊D3)—22no—
85C2×C4⋊(C3⋊D3)—21no—
86C2×C4⋊(C3⋊D3)C2×D312yes—
87C2×C4⋊(C3⋊D3)C2×D314yescomplemented
88C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
89C2×C4×C3⋊D3—21no—
90C2×#634C2×D311yescharacteristic, complemented
91C2×C3×#67—62no—
92C2×C3×#67—61no—
93C2×C3×#67—61no—
94C3×#235—34no—
95C3×#235—34no—
96C3×#235—64no—
97C3×#235—64no—
98C3×#235—62no—
99C3×#235—62no—
100C2×C3×D12—31no—
101C2×C3×D12—32no—
102C2×C3×D12—34no—
103C2×C3×D12—31no—
104C2×C3×D12—32no—
105C2×C3×D12—34no—
106C2×C3×D12—62no—
107C2×C3×D12—64no—
108C2×C3×D12—61no—
109C2×C3×D12—64no—
110C2×C3×D12—62no—
111C2×C3×D12—61no—
112C2×C3×D12—62no—
113C2×C3×D12—61no—
114C2×C3×D12—62no—
115C2×C3×C4×D3—62no—
116C2×C3×C4×D3—61no—
117C2×C3×C4×D3—61no—
118C2×C3×Dic6—31no—
119C2×C3×Dic6—31no—
120C2×C3×Dic6—61no—
121#3748C2×D314yescomplemented
122C2×C3⋊(C3⋊C8)C2×D312yescomplemented
123C3×#208—34no—
124C3×#208—34no—
125C3×#208—64no—
126C2×C3×C3⋊C8—32no—
127C2×C3×C3⋊C8—32no—
128C2×C3×C3⋊C8—62no—
129#3717—38no—
130#3716—38no—
131#3715—38no—
132#3714—38no—
133#3714—38no—
134#3713—38no—
135C22×C33—22no—
136C22×C33C2×D412yes—
137C22×C33C2×D411yescharacteristic
138C2×C3×C3⋊D3—22no—
139C2×C3×C3⋊D3—24no—
140C2×C3×C3⋊D3—48no—
141C2×C3×C3⋊D3—42no—
142C2×C3×C3⋊D3—44no—
143C33×C4C2×D411yescharacteristic
144C33×C4C2×D412yes—
145C33×C4C2411yescharacteristic
146C3×C3⋊Dic3—22no—
147C2×C3×#41—91no—
148C22×C3×D4—91no—
149C2×#235—31no—
150C2×#235—31no—
151C2×#235—61no—
152C22×D12—31no—
153C22×D12—31no—
154C22×D12—61no—
155C2×C3×M16—91no—
156#949—98no—
157C2×#215—92no—
158C2×#214—92no—
159#932—98no—
160C2×#213—92no—
161C2×#213—92no—
162C2×#208—31no—
163C2×#208—31no—
164C2×#208—61no—
165#908—98no—
166C2×D24—92no—
167C2×#204—92no—
168C23×C32—21no—
169C23×C32—21no—
170C23×C32—21no—
171C23×C32—41no—
172C23×C32D1211yescharacteristic
173C23×C32#6711yescharacteristic
174C23×C32#6711yescharacteristic
175C22×C3⋊D3—22no—
176C22×C3⋊D3—24no—
177C22×C3⋊D3—21no—
178C22×C3⋊D3—44no—
179C22×C3×D3—64no—
180C22×C3×D3—68no—
181C22×C3×D3—62no—
182C22×C3×D3—64no—
183C22×C3×D3—62no—
184C22×C3×D3—61no—
185C22×C3×D3—64no—
186C22×C3×D3—62no—
187C22×C3×D3—61no—
188C22×C3×D3—128no—
189C22×C3×D3—124no—
190C22×C3×D3—124no—
191C2×C32×C4—21no—
192C2×C32×C4—22no—
193C2×C32×C4—21no—
194C2×C32×C4—21no—
195C2×C32×C4—22no—
196C2×C32×C4—22no—
197C2×C32×C4—21no—
198C2×C32×C4—22no—
199C2×C32×C4—21no—
200C2×C32×C4—21no—
201C2×C32×C4—22no—
202C2×C32×C4—22no—
203C2×C32×C4—41no—
204C2×C32×C4—42no—
205C2×C32×C4—41no—
206C2×C32×C4—42no—
207C2×C32×C4D1211yescharacteristic
208C2×C32×C4D1212yes—
209C2×C32×C4#6711yescharacteristic
210C2×C32×C4#6711yescharacteristic
211C2×C32×C4#6712yes—
212C2×C32×C4#6712yes—
213C2×C32×C4C22×D311yescharacteristic
214C2×C32×C4C22×D312yes—
215C2×C32×C4C22×D311yescharacteristic
216C2×C32×C4C22×D311yescharacteristic
217C2×C32×C4C22×D312yes—
218C2×C32×C4C22×D312yes—
219#638—24no—
220C2×C3⋊Dic3—21no—
221C4⋊(C3⋊D3)—22no—
222C4⋊(C3⋊D3)—24no—
223C4⋊(C3⋊D3)—21no—
224C4⋊(C3⋊D3)C22×D314yes—
225C4⋊(C3⋊D3)C22×D312yescomplemented
226C4×C3⋊D3—24no—
227#634—21no—
228#634C22×D312yescomplemented
229C3×#67—68no—
230C3×#67—64no—
231C3×#67—64no—
232C2×C3×Dic3—62no—
233C2×C3×Dic3—61no—
234C2×C3×Dic3—61no—
235C3×D12—32no—
236C3×D12—34no—
237C3×D12—32no—
238C3×D12—34no—
239C3×D12—64no—
240C3×D12—62no—
241C3×D12—64no—
242C3×D12—68no—
243C3×D12—62no—
244C3×D12—62no—
245C3×D12—64no—
246C3×D12—61no—
247C3×D12—62no—
248C3×D12—64no—
249C3×D12—61no—
250C3×C4×D3—68no—
251C3×C4×D3—64no—
252C3×C4×D3—64no—
253C3×Dic6—32no—
254C3×Dic6—32no—
255C3×Dic6—62no—
256C3×Dic6—62no—
257C3×Dic6—61no—
258C3×Dic6—61no—
259C3⋊(C3⋊C8)C22×D314yescomplemented
260C3×C3⋊C8—34no—
261C3×C3⋊C8—34no—
262C3×C3⋊C8—64no—
263C2×AGL(1,ℤ/8)—271noSylow
264C2×C33—22no—
265C2×C33AGL(1,ℤ/8)12yescomplemented
266C2×C33C22×D411yescharacteristic
267C3×C3⋊D3—42no—
268C3×C3⋊D3—44no—
269C24×C3—181no—
270C23×D3—62no—
271C23×D3—61no—
272C23×D3—61no—
273C3×#41—94no—
274C3×#41—182no—
275C2×C3×Q8—91no—
276C2×C3×D4—91no—
277C2×C3×D4—92no—
278C2×C3×D4—94no—
279C2×C3×D4—181no—
280C2×C3×D4—181no—
281C2×C3×D4—182no—
282C22×C3×C4—21no—
283C22×C3×C4—21no—
284C22×C3×C4—21no—
285C22×C3×C4—41no—
286C22×C3×C4—181no—
287C22×C3×C4D3211yescharacteristic
288C22×C3×C4D3211yescharacteristic
289C22×C3×C4D3211yescharacteristic
290C2×#67—62no—
291C2×#67—61no—
292C2×#67—61no—
293#235—34no—
294#235—34no—
295#235—64no—
296#235—64no—
297#235—62no—
298#235—62no—
299C2×D12—32no—
300C2×D12—31no—
301C2×D12—34no—
302C2×D12—31no—
303C2×D12—32no—
304C2×D12—34no—
305C2×D12—62no—
306C2×D12—64no—
307C2×D12—61no—
308C2×D12—64no—
309C2×D12—62no—
310C2×D12—61no—
311C2×D12—62no—
312C2×D12—61no—
313C2×D12—62no—
314C2×C4×D3—62no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×Dic6—31no—
318C2×Dic6—31no—
319C2×Dic6—61no—
320C3×M16—94no—
321C2×C3×C8—92no—
322#215—98no—
323#214—98no—
324#213—98no—
325#213—98no—
326#208—34no—
327#208—34no—
328#208—64no—
329C2×C3⋊C8—32no—
330C2×C3⋊C8—32no—
331C2×C3⋊C8—62no—
332D24—98no—
333#204—98no—
334C22×C32—22no—
335C22×C32—24no—
336C22×C32—22no—
337C22×C32—22no—
338C22×C32—21no—
339C22×C32—22no—
340C22×C32—21no—
341C22×C32—22no—
342C22×C32—21no—
343C22×C32—22no—
344C22×C32—42no—
345C22×C32—41no—
346C22×C32—42no—
347C22×C32—42no—
348C22×C32—44no—
349C22×C32C2×D1212yes—
350C22×C32C2×D1211yescharacteristic
351C22×C32C2×#6712yes—
352C22×C32C2×#6712yes—
353C22×C32C2×#6711yescharacteristic
354C22×C32C2×#6711yescharacteristic
355C2×C3⋊D3—22no—
356C2×C3⋊D3—24no—
357C2×C3⋊D3—48no—
358C2×C3⋊D3—44no—
359C2×C3⋊D3—42no—
360C2×C3×D3—64no—
361C2×C3×D3—68no—
362C2×C3×D3—62no—
363C2×C3×D3—64no—
364C2×C3×D3—62no—
365C2×C3×D3—64no—
366C2×C3×D3—124no—
367C2×C3×D3—1216no—
368C2×C3×D3—128no—
369C2×C3×D3—128no—
370C2×C3×D3—128no—
371C2×C3×D3—122no—
372C2×C3×D3—124no—
373C2×C3×D3—122no—
374C2×C3×D3—124no—
375C32×C4—21no—
376C32×C4—21no—
377C32×C4—21no—
378C32×C4—21no—
379C32×C4—22no—
380C32×C4—21no—
381C32×C4—22no—
382C32×C4—21no—
383C32×C4—22no—
384C32×C4—41no—
385C32×C4—42no—
386C32×C4—41no—
387C32×C4C2×D1211yescharacteristic
388C32×C4C2×D1212yes—
389C32×C4C2×#6711yescharacteristic
390C32×C4C2×#6712yes—
391C32×C4C2×#6711yescharacteristic
392C32×C4C2×#6712yes—
393C32×C4C23×D311yescharacteristic
394C32×C4C23×D311yescharacteristic
395C32×C4C23×D311yescharacteristic
396C3⋊Dic3—22no—
397C3×Dic3—64no—
398C3×Dic3—62no—
399C3×Dic3—62no—
400C2×#41—91no—
401C22×D4—91no—
402AGL(1,ℤ/8)—278no—
403C2×SD16—272no—
404C2×D8—272no—
405C2×M16—91no—
406C33C2×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
407C23×C3—21no—
408C23×C3—21no—
409C23×C3—21no—
410C23×C3—41no—
411C23×C3—181no—
412C23×C3—184no—
413C23×C3—182no—
414C23×C3—364no—
415C23×C3#62511yescharacteristic
416C23×C3#62611yescharacteristic
417C23×C3#62611yescharacteristic
418C22×D3—62no—
419C22×D3—68no—
420C22×D3—64no—
421C22×D3—61no—
422C22×D3—64no—
423C22×D3—62no—
424C22×D3—61no—
425C22×D3—64no—
426C22×D3—62no—
427C22×D3—128no—
428C22×D3—124no—
429C22×D3—124no—
430C3×Q8—92no—
431C3×Q8—181no—
432C3×D4—92no—
433C3×D4—94no—
434C3×D4—184no—
435C3×D4—182no—
436C3×D4—184no—
437C3×D4—181no—
438C2×C3×C4—22no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—22no—
442C2×C3×C4—21no—
443C2×C3×C4—22no—
444C2×C3×C4—21no—
445C2×C3×C4—22no—
446C2×C3×C4—21no—
447C2×C3×C4—22no—
448C2×C3×C4—21no—
449C2×C3×C4—22no—
450C2×C3×C4—42no—
451C2×C3×C4—41no—
452C2×C3×C4—42no—
453C2×C3×C4—41no—
454C2×C3×C4—181no—
455C2×C3×C4—184no—
456C2×C3×C4#62511yescharacteristic
457C2×C3×C4#62512yes—
458C2×C3×C4#62611yescharacteristic
459C2×C3×C4#62611yescharacteristic
460C2×C3×C4#62612yes—
461C2×C3×C4#62612yes—
462C2×C3×C4C2×D3211yescharacteristic
463C2×C3×C4C2×D3212yes—
464C2×C3×C4C2×D3211yescharacteristic
465C2×C3×C4C2×D3211yescharacteristic
466C2×C3×C4C2×D3212yes—
467C2×C3×C4C2×D3212yes—
468#67—68no—
469#67—64no—
470#67—64no—
471C2×Dic3—62no—
472C2×Dic3—61no—
473C2×Dic3—61no—
474D12—34no—
475D12—34no—
476D12—32no—
477D12—32no—
478D12—64no—
479D12—62no—
480D12—64no—
481D12—68no—
482D12—62no—
483D12—62no—
484D12—64no—
485D12—61no—
486D12—64no—
487D12—62no—
488D12—61no—
489C4×D3—68no—
490C4×D3—64no—
491C4×D3—64no—
492Dic6—32no—
493Dic6—32no—
494Dic6—62no—
495Dic6—62no—
496Dic6—61no—
497Dic6—61no—
498C3×C8—94no—
499C3⋊C8—34no—
500C3⋊C8—34no—
501C3⋊C8—64no—
502C2×C32—22no—
503C2×C32—24no—
504C2×C32—22no—
505C2×C32—22no—
506C2×C32—21no—
507C2×C32—21no—
508C2×C32—21no—
509C2×C32—22no—
510C2×C32—22no—
511C2×C32—22no—
512C2×C32—42no—
513C2×C32—41no—
514C2×C32—42no—
515C2×C32—42no—
516C2×C32—44no—
517C2×C32#90812yescomplemented
518C2×C32#93212yescomplemented
519C2×C32#94912yescomplemented
520C2×C32C22×D1211yescharacteristic
521C2×C32C22×#6711yescharacteristic
522C2×C32C22×#6711yescharacteristic
523C3⋊D3—44no—
524C3⋊D3—42no—
525C3×D3—124no—
526C3×D3—128no—
527C3×D3—122no—
528C3×D3—124no—
529C3×D3—122no—
530C3×D3—124no—
531C24—181no—
532#41—94no—
533#41—182no—
534C2×Q8—91no—
535C2×D4—91no—
536C2×D4—92no—
537C2×D4—94no—
538C2×D4—181no—
539C2×D4—182no—
540C2×D4—181no—
541C22×C4—181no—
542C22×C4#111311yescharacteristic
543SD16—278no—
544D8—278no—
545M16—94no—
546C2×C8—92no—
547C22×C3—24no—
548C22×C3—22no—
549C22×C3—22no—
550C22×C3—22no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—22no—
554C22×C3—21no—
555C22×C3—21no—
556C22×C3—21no—
557C22×C3—42no—
558C22×C3—42no—
559C22×C3—44no—
560C22×C3—42no—
561C22×C3—41no—
562C22×C3—182no—
563C22×C3—184no—
564C22×C3—368no—
565C22×C3—364no—
566C22×C3—362no—
567C22×C3C2×#62512yes—
568C22×C3C2×#62511yescharacteristic
569C22×C3C2×#62612yes—
570C22×C3C2×#62612yes—
571C22×C3C2×#62611yescharacteristic
572C22×C3C2×#62611yescharacteristic
573C2×D3—64no—
574C2×D3—68no—
575C2×D3—62no—
576C2×D3—64no—
577C2×D3—62no—
578C2×D3—64no—
579C2×D3—1216no—
580C2×D3—128no—
581C2×D3—128no—
582C2×D3—128no—
583C2×D3—124no—
584C2×D3—124no—
585C2×D3—122no—
586C2×D3—122no—
587C2×D3—124no—
588C3×C4—21no—
589C3×C4—21no—
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—22no—
593C3×C4—22no—
594C3×C4—21no—
595C3×C4—22no—
596C3×C4—21no—
597C3×C4—41no—
598C3×C4—42no—
599C3×C4—41no—
600C3×C4—182no—
601C3×C4C2×#62511yescharacteristic
602C3×C4C2×#62512yes—
603C3×C4C2×#62611yescharacteristic
604C3×C4C2×#62612yes—
605C3×C4C2×#62612yes—
606C3×C4C2×#62611yescharacteristic
607C3×C4C22×D3211yescharacteristic
608C3×C4C22×D3211yescharacteristic
609C3×C4C22×D3211yescharacteristic
610Dic3—64no—
611Dic3—62no—
612Dic3—62no—
613C32—21no—
614C32—21no—
615C32—21no—
616C32—41no—
617C32C2×#90811yescharacteristic, complemented
618C32C2×#93211yescharacteristic, complemented
619C32C2×#94911yescharacteristic, complemented
620C23—184no—
621C23—181no—
622C23—182no—
623C23—364no—
624C23#629511yescharacteristic
625Q8—92no—
626Q8—181no—
627D4—92no—
628D4—94no—
629D4—184no—
630D4—184no—
631D4—182no—
632D4—181no—
633C2×C4—181no—
634C2×C4—184no—
635C2×C4#629512yes—
636C2×C4#629511yescharacteristic
637C2×C4C2×#111312yes—
638C2×C4C2×#111311yescharacteristic
639C8—94no—
640C2×C3—24no—
641C2×C3—22no—
642C2×C3—22no—
643C2×C3—22no—
644C2×C3—21no—
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—22no—
648C2×C3—22no—
649C2×C3—22no—
650C2×C3—42no—
651C2×C3—42no—
652C2×C3—44no—
653C2×C3—41no—
654C2×C3—42no—
655C2×C3—364no—
656C2×C3—362no—
657C2×C3#6382312yescomplemented
658C2×C3#6382512yescomplemented
659C2×C3#6383012yescomplemented
660C2×C3C22×#62511yescharacteristic
661C2×C3C22×#62611yescharacteristic
662C2×C3C22×#62611yescharacteristic
663D3—128no—
664D3—124no—
665D3—124no—
666D3—122no—
667D3—122no—
668D3—124no—
669C22—22no—
670C22—182no—
671C22—184no—
672C22—368no—
673C22—364no—
674C22—362no—
675C22C2×#629512yes—
676C22C2×#629511yescharacteristic
677C4—182no—
678C4C2×#629512yes—
679C4C2×#629511yescharacteristic
680C4C22×#111311yescharacteristic
681C3—21no—
682C3—21no—
683C3—21no—
684C3—41no—
685C3C2×#6382311yescharacteristic, complemented
686C3C2×#6382511yescharacteristic, complemented
687C3C2×#6383011yescharacteristic, complemented
688C2—22no—
689C2—364no—
690C2—362no—
691C2#1172366112yesdirect product factor
692C2C22×#629511yescharacteristic
subgroupG/H
centerC22C2×#6295
commutator, cosocleC33×C4C24
FrattiniC4C22×#1113
FittingC22×C33×C4C22
socleC22×C33C2×D4
hypercenterC22×C4#1113
hypocenterC33C2×AGL(1,ℤ/8)
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3828C2semidirect
2. C22×C3×C4⋊(C3⋊D3)C2semidirect
3. C2×C3×#3748C2semidirect
4. C2×#88811C2semidirect
5. #11723661C2direct (N × H)
6. C2×#88810C2semidirect
14. C3×#3828C22semidirect
18. C2×C3×C4⋊(C3⋊D3)C22semidirect
19. C2×C3×C4⋊(C3⋊D3)C22semidirect
21. C2×C3×#634C22semidirect
22. C3×#3748C22semidirect
23. C2×C3×C3⋊(C3⋊C8)C22semidirect
24. #88811C22semidirect
25. #88810C22semidirect
26. C2×#3828D3semidirect
27. C22×C4⋊(C3⋊D3)D3semidirect
34. C2×#3748D3semidirect
62. C3×C4⋊(C3⋊D3)C23semidirect
65. C3×#634C23semidirect
66. C3×C3⋊(C3⋊C8)C23semidirect
83. #3828C2×D3semidirect
87. C2×C4⋊(C3⋊D3)C2×D3semidirect
88. C2×C4⋊(C3⋊D3)C2×D3semidirect
90. C2×#634C2×D3semidirect
121. #3748C2×D3semidirect
122. C2×C3⋊(C3⋊C8)C2×D3semidirect
225. C4⋊(C3⋊D3)C22×D3semidirect
228. #634C22×D3semidirect
259. C3⋊(C3⋊C8)C22×D3semidirect
265. C2×C33AGL(1,ℤ/8)semidirect
406. C33C2×AGL(1,ℤ/8)semidirect
517. C2×C32#908semidirect
518. C2×C32#932semidirect
519. C2×C32#949semidirect
617. C32C2×#908semidirect
618. C32C2×#932semidirect
619. C32C2×#949semidirect
657. C2×C3#63823semidirect
658. C2×C3#63825semidirect
659. C2×C3#63830semidirect
685. C3C2×#63823semidirect
686. C3C2×#63825semidirect
687. C3C2×#63830semidirect
691. C2#11723661direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#38282
C22×C3×C4⋊(C3⋊D3)2
C2×C3×#37482
C2×#888112
#117236612
C2×#888102
C2×#638303
C2×#638253
C2×#638233