Finite Group Databasebeta

← C2×#10594256 #11900016

Subgroups — C2×#10594256 #11900016

Order 1152.

4177 conjugacy classes of subgroups.

The subgroup lattice has 610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3811C211yesmaximal, characteristic
2C2×C22⋊C4×C3⋊D3C211yesmaximal, characteristic, complemented
3C2×C3×#67⋊C4C212yesmaximal, complemented
4C2×Dic3×#67C212yesmaximal, complemented
5C22×#3722C211yesmaximal, characteristic, complemented
6C2×D3×(C2×D3)⋊C4C212yesmaximal, complemented
7C2×C4×#626C212yesmaximal, complemented
8C2×#63881C212yesmaximal, complemented
9C2×#63836C212yesmaximal, complemented
10#10594256C2116yesmaximal, direct product factor
11C2×#5545—32nomaximal
12C24×C3⋊D3C2211yescharacteristic
13C23×D32C2211yescharacteristic
14C22×C4×C3⋊D3C2212yescomplemented
15C22×C3×#67C2212yes—
16C23×C3×Dic3C2212yescomplemented
17C22×C3×C4×D3C2212yescomplemented
18C2×#3811C4116yescomplemented
19C2×#3811C2218yes—
20C22×#626C2212yes—
21C22×#624C2211yescharacteristic
22C22×D3×Dic3C2212yescomplemented
23C2×C32×C22⋊C4C2211yescharacteristic, complemented
24C2×#3757C2211yescharacteristic, complemented
25C2×#3752C2212yes—
26C22⋊C4×C3⋊D3C2218yescomplemented
27C2×C3×(C2×D3)⋊C4C2212yescomplemented
28C2×C3×Dic3⋊C4C2212yescomplemented
29C2×C3×C4×Dic3C2212yescomplemented
30C3×#67⋊C4C22116yescomplemented
31Dic3×#67C22116yescomplemented
32C2×Dic3⋊Dic3C2212yescomplemented
33C2×#3722C2212yes—
34C2×#3722C2218yescomplemented
35C2×#3722C2211yescharacteristic, complemented
36C2×#3722C2211yescharacteristic, complemented
37C2×(C2×D3)⋊Dic3C2212yescomplemented
38C2×Dic32C2212yescomplemented
39D3×(C2×D3)⋊C4C22116yescomplemented
40C4×#626C22116yescomplemented
41#63881C22116yescomplemented
42#63836C22116yescomplemented
43C22×D3×D4—32no—
44C2×C3×C4×D4—32no—
45C2×D4×Dic3—32no—
46C2×C4×#67—32no—
47C2×C4×#67—32no—
48C22×(C2×D3)⋊C4—32no—
49C22×(C2×D3)⋊C4—32no—
50#5545—332no—
51C2×#893—32no—
52C2×#892—32no—
53C2×#67⋊C4—32no—
54C2×#67⋊C4D312yescomplemented
55C2×D3×C22⋊C4—32no—
56C2×D3×C22⋊C4—32no—
57C2×D3×C22⋊C4—61no—
58C2×C4×D12—32no—
59C2×#872—32no—
60C24×C32C2311yescharacteristic
61C23×C3⋊D3—44no—
62C23×C3⋊D3C2×C418yescomplemented
63C23×C3⋊D3C2311yescharacteristic
64C23×C3⋊D3C2311yescharacteristic
65C23×C3⋊D3C2314yes—
66C23×C3×D3C2312yes—
67C22×D32—44no—
68C22×D32C2×C418yescomplemented
69C22×D32C2314yes—
70C22×C32×C4C2312yes—
71C22×C3⋊Dic3C2312yes—
72C2×C4×C3⋊D3—44no—
73C2×C4×C3⋊D3C2318yescomplemented
74C2×C3×#67C2×C4116yescomplemented
75C2×C3×#67C2318yes—
76C22×C3×Dic3—44no—
77C22×C3×Dic3C2312yes—
78C22×C3×Dic3C2312yes—
79C22×C3×Dic3C2312yes—
80C22×C3×Dic3C2318yescomplemented
81C2×C3×C4×D3—44no—
82C2×C3×C4×D3C2318yescomplemented
83#3811C2×C4164yescomplemented
84C2×#626C2×C4116yescomplemented
85C2×#626C2318yes—
86C2×#624C2×C418yescomplemented
87C2×#624C2314yes—
88C2×D3×Dic3—44no—
89C2×D3×Dic3C2318yescomplemented
90C32×C22⋊C4C2314yescomplemented
91#3757C2314yescomplemented
92#3752C2318yes—
93C3×(C2×D3)⋊C4C2318yescomplemented
94C3×Dic3⋊C4C2318yescomplemented
95C3×C4×Dic3C2318yescomplemented
96Dic3⋊Dic3C2318yescomplemented
97#3722C2318yes—
98#3722C2314yescomplemented
99#3722C2314yescomplemented
100(C2×D3)⋊Dic3C2318yescomplemented
101Dic32C2318yescomplemented
102C2×#518—91noSylow
103C24×D3—32no—
104C24×D3—32no—
105C24×D3—61no—
106C22×C3×D4—32no—
107C23×C3×C4—32no—
108C23×C3×C4—32no—
109C22×#67—32no—
110C22×#67C2×D312yes—
111C23×Dic3—32no—
112C23×Dic3C2×D312yescomplemented
113C2×D3×D4—332no—
114C2×D3×D4—316no—
115C22×D12—32no—
116C22×C4×D3—32no—
117C22×C4×D3—32no—
118C22×C4×D3—32no—
119C22×C4×D3—32no—
120C22×C4×D3—62no—
121C22×C4×D3C2×D312yescomplemented
122C3×C4×D4—316no—
123C2×C3×C4⋊C4—32no—
124C2×C3×C22⋊C4—21no—
125C2×C3×C22⋊C4—32no—
126C2×C3×C22⋊C4C2×D312yescomplemented
127C2×C3×C42—32no—
128C2×#217—32no—
129C2×#217—32no—
130C2×#217—61no—
131D4×Dic3—316no—
132C4×#67—316no—
133C4×#67—316no—
134C2×(C2×D3)⋊C4—32no—
135C2×(C2×D3)⋊C4—32no—
136C2×(C2×D3)⋊C4—32no—
137C2×(C2×D3)⋊C4—32no—
138C2×(C2×D3)⋊C4—32no—
139C2×(C2×D3)⋊C4—32no—
140C2×(C2×D3)⋊C4—32no—
141C2×(C2×D3)⋊C4—316no—
142C2×(C2×D3)⋊C4—316no—
143C2×(C2×D3)⋊C4—62no—
144C2×(C2×D3)⋊C4C2×D312yescomplemented
145C2×C4⋊Dic3—32no—
146C2×Dic3⋊C4—32no—
147C2×Dic3⋊C4C2×D312yescomplemented
148C2×C4×Dic3—32no—
149C2×C4×Dic3—32no—
150C2×C4×Dic3C2×D312yescomplemented
151#893—316no—
152#892—316no—
153#67⋊C4—316no—
154#67⋊C4C2×D3116yescomplemented
155D3×C22⋊C4—316no—
156D3×C22⋊C4—316no—
157D3×C22⋊C4—68no—
158C4×D12—316no—
159#872—316no—
160C23×C32—24no—
161C23×C32C22×C414yes—
162C23×C32C2412yes—
163C23×C32C2411yescharacteristic
164C22×C3⋊D3—24no—
165C22×C3⋊D3—24no—
166C22×C3⋊D3—416no—
167C22×C3⋊D3—48no—
168C22×C3⋊D3C22×C414yes—
169C22×C3⋊D3C22×C414yes—
170C22×C3⋊D3C22×C4116yescomplemented
171C22×C3⋊D3C2412yes—
172C22×C3⋊D3C2412yes—
173C22×C3×D3—24no—
174C22×C3×D3—24no—
175C22×C3×D3C22×C418yes—
176C22×C3×D3C2414yes—
177C2×D32—416no—
178C2×D32—48no—
179C2×D32C22×C4116yescomplemented
180C2×C32×C4—24no—
181C2×C32×C4C2414yes—
182C2×C3⋊Dic3—24no—
183C2×C3⋊Dic3C2414yes—
184C4×C3⋊D3—48no—
185C3×#67C22×C4132yescomplemented
186C2×C3×Dic3—24no—
187C2×C3×Dic3—24no—
188C2×C3×Dic3—48no—
189C2×C3×Dic3C22×C418yes—
190C2×C3×Dic3C2414yes—
191C2×C3×Dic3C2414yes—
192C2×C3×Dic3C2414yes—
193C3×C4×D3—48no—
194#626C22×C4132yescomplemented
195#624C22×C4116yescomplemented
196D3×Dic3—48no—
197C23×D4—91no—
198#518—916no—
199C2×C4×D4—32no—
200C2×C4×D4—92no—
201C2×C4×D4—92no—
202C2×C4×D4—92no—
203C2×#117—92no—
204C22×C22⋊C4—92no—
205C22×C22⋊C4—91no—
206C22×C22⋊C4—91no—
207C24×C3—21no—
208C24×C3—32no—
209C24×C3C22×D312yes—
210C23×D3—32no—
211C23×D3—32no—
212C23×D3—316no—
213C23×D3—38no—
214C23×D3—316no—
215C23×D3—38no—
216C23×D3—61no—
217C23×D3—68no—
218C23×D3—64no—
219C23×D3—61no—
220C23×D3—124no—
221C23×D3—124no—
222C23×D3—124no—
223C23×D3—124no—
224C23×D3—128no—
225C23×D3C22×D312yes—
226C2×C3×D4—316no—
227C2×C3×D4—38no—
228C22×C3×C4—22no—
229C22×C3×C4—32no—
230C22×C3×C4—32no—
231C22×C3×C4—32no—
232C22×C3×C4—38no—
233C22×C3×C4—38no—
234C22×C3×C4—124no—
235C22×C3×C4—124no—
236C22×C3×C4C22×D312yes—
237C22×C3×C4C22×D312yes—
238C2×#67—316no—
239C2×#67—38no—
240C2×#67C4×D3116yescomplemented
241C2×#67C22×D318yes—
242C22×Dic3—32no—
243C22×Dic3—32no—
244C22×Dic3—38no—
245C22×Dic3—44no—
246C22×Dic3—62no—
247C22×Dic3—124no—
248C22×Dic3C22×D312yes—
249C22×Dic3C22×D312yes—
250C22×Dic3C22×D312yes—
251C22×Dic3C22×D318yescomplemented
252D3×D4—3128no—
253C2×D12—316no—
254C2×D12—38no—
255C2×C4×D3—316no—
256C2×C4×D3—38no—
257C2×C4×D3—38no—
258C2×C4×D3—38no—
259C2×C4×D3—38no—
260C2×C4×D3—44no—
261C2×C4×D3—68no—
262C2×C4×D3—124no—
263C2×C4×D3—124no—
264C2×C4×D3—124no—
265C2×C4×D3—128no—
266C2×C4×D3C22×D318yescomplemented
267C3×C4⋊C4—38no—
268C3×C22⋊C4—24no—
269C3×C22⋊C4—38no—
270C3×C22⋊C4C22×D318yescomplemented
271C3×C42—38no—
272#217—38no—
273#217—38no—
274#217—64no—
275(C2×D3)⋊C4—38no—
276(C2×D3)⋊C4—38no—
277(C2×D3)⋊C4—38no—
278(C2×D3)⋊C4—38no—
279(C2×D3)⋊C4—38no—
280(C2×D3)⋊C4—38no—
281(C2×D3)⋊C4—38no—
282(C2×D3)⋊C4—68no—
283(C2×D3)⋊C4C22×D318yescomplemented
284C4⋊Dic3—38no—
285Dic3⋊C4—38no—
286Dic3⋊C4C22×D318yescomplemented
287C4×Dic3—38no—
288C4×Dic3—38no—
289C4×Dic3C22×D318yescomplemented
290C22×C32—28no—
291C22×C32—24no—
292C22×C32C23×C414yes—
293C22×C32C23×C412yes—
294C22×C32H(5,𝔽2)14yes—
295C22×C32C2511yescharacteristic
296C2×C3⋊D3—28no—
297C2×C3⋊D3—24no—
298C2×C3⋊D3—28no—
299C2×C3⋊D3—24no—
300C2×C3⋊D3—416no—
301C2×C3⋊D3C23×C414yes—
302C2×C3⋊D3C23×C414yes—
303C2×C3×D3—216no—
304C2×C3×D3—24no—
305C2×C3×D3—24no—
306C2×C3×D3C23×C418yes—
307D32—416no—
308C32×C4—24no—
309C3⋊Dic3—24no—
310C3×Dic3—24no—
311C3×Dic3—24no—
312C3×Dic3C23×C418yes—
313C25—91no—
314C25—91no—
315C22×D4—32no—
316C22×D4—92no—
317C22×D4—98no—
318C22×D4—916no—
319C23×C4—32no—
320C23×C4—32no—
321C23×C4—91no—
322C23×C4—92no—
323C23×C4—92no—
324C4×D4—316no—
325C4×D4—916no—
326C4×D4—916no—
327C4×D4—916no—
328#117—916no—
329C2×C4⋊C4—32no—
330C2×C4⋊C4—92no—
331C2×C22⋊C4—32no—
332C2×C22⋊C4—916no—
333C2×C22⋊C4—92no—
334C2×C22⋊C4—91no—
335C2×C22⋊C4—91no—
336C2×C22⋊C4—98no—
337C2×C22⋊C4—92no—
338C2×C22⋊C4—91no—
339C2×C22⋊C4—92no—
340C2×C22⋊C4—98no—
341C2×C22⋊C4D3211yescharacteristic, complemented
342C2×C42—32no—
343C2×C42—92no—
344C23×C3—24no—
345C23×C3—24no—
346C23×C3—22no—
347C23×C3—21no—
348C23×C3—24no—
349C23×C3—38no—
350C23×C3—34no—
351C23×C3—44no—
352C23×C3—64no—
353C23×C3—64no—
354C23×C3C2×C4×D318yes—
355C23×C3C23×D314yes—
356C23×C3C23×D312yes—
357C22×D3—24no—
358C22×D3—24no—
359C22×D3—38no—
360C22×D3—38no—
361C22×D3—34no—
362C22×D3—34no—
363C22×D3—332no—
364C22×D3—332no—
365C22×D3—64no—
366C22×D3—62no—
367C22×D3—64no—
368C22×D3—616no—
369C22×D3—62no—
370C22×D3—68no—
371C22×D3—64no—
372C22×D3—64no—
373C22×D3—64no—
374C22×D3—64no—
375C22×D3—124no—
376C22×D3—128no—
377C22×D3—128no—
378C22×D3—1232no—
379C22×D3—128no—
380C22×D3—128no—
381C22×D3—1232no—
382C22×D3—1216no—
383C22×D3—1232no—
384C22×D3C2×C4×D318yes—
385C22×D3C23×D314yes—
386C3×D4—332no—
387C2×C3×C4—24no—
388C2×C3×C4—24no—
389C2×C3×C4—24no—
390C2×C3×C4—38no—
391C2×C3×C4—34no—
392C2×C3×C4—34no—
393C2×C3×C4—34no—
394C2×C3×C4—44no—
395C2×C3×C4—64no—
396C2×C3×C4—64no—
397C2×C3×C4—128no—
398C2×C3×C4—128no—
399C2×C3×C4C23×D314yes—
400C2×C3×C4C23×D314yes—
401#67—332no—
402#67C2×C4×D3132yescomplemented
403C2×Dic3—24no—
404C2×Dic3—24no—
405C2×Dic3—34no—
406C2×Dic3—34no—
407C2×Dic3—48no—
408C2×Dic3—64no—
409C2×Dic3—64no—
410C2×Dic3—64no—
411C2×Dic3—124no—
412C2×Dic3—128no—
413C2×Dic3C2×C4×D318yes—
414C2×Dic3C23×D314yes—
415C2×Dic3C23×D314yes—
416C2×Dic3C23×D314yes—
417D12—332no—
418C4×D3—332no—
419C4×D3—48no—
420C4×D3—128no—
421C4×D3—128no—
422C4×D3—128no—
423C4×D3—1216no—
424C2×C32—24no—
425C2×C32#51814yescomplemented
426C2×C32C24×C411yescharacteristic
427C2×C32C2×H(5,𝔽2)12yes—
428C3⋊D3—24no—
429C3⋊D3—24no—
430C3×D3—28no—
431C24—32no—
432C24—94no—
433C24—98no—
434C24—91no—
435C24—91no—
436C24—94no—
437C24—98no—
438C24—364no—
439C24—364no—
440C24C2×D3211yescharacteristic
441C2×D4—38no—
442C2×D4—316no—
443C2×D4—98no—
444C2×D4—916no—
445C2×D4—964no—
446C22×C4—32no—
447C22×C4—32no—
448C22×C4—32no—
449C22×C4—38no—
450C22×C4—38no—
451C22×C4—94no—
452C22×C4—98no—
453C22×C4—98no—
454C22×C4—92no—
455C22×C4—98no—
456C22×C4—124no—
457C22×C4—124no—
458C22×C4—364no—
459C22×C4—364no—
460C22×C4C2×D3212yes—
461C4⋊C4—38no—
462C4⋊C4—98no—
463C22⋊C4—38no—
464C22⋊C4—98no—
465C22⋊C4—94no—
466C22⋊C4—94no—
467C22⋊C4—98no—
468C22⋊C4—94no—
469C22⋊C4—98no—
470C22⋊C4C2×D3214yescomplemented
471C42—38no—
472C42—98no—
473C22×C3—24no—
474C22×C3—24no—
475C22×C3—216no—
476C22×C3—22no—
477C22×C3—24no—
478C22×C3—24no—
479C22×C3—21no—
480C22×C3—38no—
481C22×C3—44no—
482C22×C3—48no—
483C22×C3—64no—
484C22×C3—64no—
485C22×C3—616no—
486C22×C3C22×C4×D318yes—
487C22×C3C22×C4×D314yes—
488C22×C3#100414yes—
489C22×C3#100914yes—
490C22×C3C24×D312yes—
491C2×D3—24no—
492C2×D3—24no—
493C2×D3—216no—
494C2×D3—38no—
495C2×D3—38no—
496C2×D3—64no—
497C2×D3—64no—
498C2×D3—68no—
499C2×D3—616no—
500C2×D3—64no—
501C2×D3—64no—
502C2×D3—64no—
503C2×D3—64no—
504C2×D3—616no—
505C2×D3—616no—
506C2×D3—124no—
507C2×D3—128no—
508C2×D3—1232no—
509C2×D3—1232no—
510C2×D3—1232no—
511C2×D3C22×C4×D318yes—
512C3×C4—24no—
513C3×C4—24no—
514C3×C4—38no—
515C3×C4—44no—
516C3×C4—64no—
517C3×C4—64no—
518Dic3—24no—
519Dic3—24no—
520Dic3—64no—
521Dic3—64no—
522Dic3—124no—
523Dic3C22×C4×D318yes—
524C32C2×#51811yescharacteristic, complemented, Sylow
525C23—24no—
526C23—38no—
527C23—34no—
528C23—64no—
529C23—64no—
530C23—916no—
531C23—94no—
532C23—94no—
533C23—92no—
534C23—92no—
535C23—916no—
536C23—184no—
537C23—184no—
538C23—368no—
539C23—3616no—
540C23—368no—
541C23—3616no—
542C23C4×D3214yes—
543C23C22×D3212yes—
544C23C22×D3211yescharacteristic
545D4—332no—
546D4—932no—
547C2×C4—24no—
548C2×C4—38no—
549C2×C4—34no—
550C2×C4—34no—
551C2×C4—34no—
552C2×C4—64no—
553C2×C4—64no—
554C2×C4—916no—
555C2×C4—94no—
556C2×C4—128no—
557C2×C4—128no—
558C2×C4—184no—
559C2×C4—368no—
560C2×C4—368no—
561C2×C4C22×D3214yes—
562C2×C3—28no—
563C2×C3—21no—
564C2×C3—22no—
565C2×C3—24no—
566C2×C3—44no—
567C2×C3—68no—
568C2×C3#554518yescomplemented
569C2×C3C23×C4×D312yes—
570C2×C3C2×#100412yes—
571C2×C3C2×#100912yes—
572D3—28no—
573D3—68no—
574D3—68no—
575D3—68no—
576D3—124no—
577C22—24no—
578C22—28no—
579C22—38no—
580C22—64no—
581C22—64no—
582C22—616no—
583C22—94no—
584C22—94no—
585C22—184no—
586C22—184no—
587C22—188no—
588C22—188no—
589C22—3616no—
590C22—3616no—
591C22C2×C4×D3214yes—
592C22C2×C4×D3212yes—
593C22#6431414yes—
594C22C23×D3211yescharacteristic
595C4—24no—
596C4—38no—
597C4—64no—
598C4—64no—
599C4—184no—
600C3—21no—
601C3C2×#554512yescomplemented
602C2—24no—
603C2—68no—
604C2—184no—
605C2—184no—
606C2#1059425614yesdirect product factor
607C2C22×C4×D3211yescharacteristic
608C2C2×#6431412yes—
subgroupG/H
centerC23C22×D32
commutatorC2×C32C24×C4
FrattiniC22C23×D32
FittingC2×C32×C22⋊C4C22
socleC23×C32C24
prime radicalC22×#3811C2
cosocleC22×C32C25
hypercenterC2×C22⋊C4D32
hypocenterC32C2×#518
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C22⋊C4×C3⋊D3C2semidirect
3. C2×C3×#67⋊C4C2semidirect
4. C2×Dic3×#67C2semidirect
5. C22×#3722C2semidirect
6. C2×D3×(C2×D3)⋊C4C2semidirect
7. C2×C4×#626C2semidirect
8. C2×#63881C2semidirect
9. C2×#63836C2semidirect
10. #10594256C2direct (N × H)
14. C22×C4×C3⋊D3C22semidirect
16. C23×C3×Dic3C22semidirect
17. C22×C3×C4×D3C22semidirect
18. C2×#3811C4semidirect
22. C22×D3×Dic3C22semidirect
23. C2×C32×C22⋊C4C22semidirect
24. C2×#3757C22semidirect
26. C22⋊C4×C3⋊D3C22semidirect
27. C2×C3×(C2×D3)⋊C4C22semidirect
28. C2×C3×Dic3⋊C4C22semidirect
29. C2×C3×C4×Dic3C22semidirect
30. C3×#67⋊C4C22semidirect
31. Dic3×#67C22semidirect
32. C2×Dic3⋊Dic3C22semidirect
34. C2×#3722C22semidirect
35. C2×#3722C22semidirect
36. C2×#3722C22semidirect
37. C2×(C2×D3)⋊Dic3C22semidirect
38. C2×Dic32C22semidirect
39. D3×(C2×D3)⋊C4C22semidirect
40. C4×#626C22semidirect
41. #63881C22semidirect
42. #63836C22semidirect
54. C2×#67⋊C4D3semidirect
62. C23×C3⋊D3C2×C4semidirect
68. C22×D32C2×C4semidirect
73. C2×C4×C3⋊D3C23semidirect
74. C2×C3×#67C2×C4semidirect
80. C22×C3×Dic3C23semidirect
82. C2×C3×C4×D3C23semidirect
83. #3811C2×C4semidirect
84. C2×#626C2×C4semidirect
86. C2×#624C2×C4semidirect
89. C2×D3×Dic3C23semidirect
90. C32×C22⋊C4C23semidirect
91. #3757C23semidirect
93. C3×(C2×D3)⋊C4C23semidirect
94. C3×Dic3⋊C4C23semidirect
95. C3×C4×Dic3C23semidirect
96. Dic3⋊Dic3C23semidirect
98. #3722C23semidirect
99. #3722C23semidirect
100. (C2×D3)⋊Dic3C23semidirect
101. Dic32C23semidirect
112. C23×Dic3C2×D3semidirect
121. C22×C4×D3C2×D3semidirect
126. C2×C3×C22⋊C4C2×D3semidirect
144. C2×(C2×D3)⋊C4C2×D3semidirect
147. C2×Dic3⋊C4C2×D3semidirect
150. C2×C4×Dic3C2×D3semidirect
154. #67⋊C4C2×D3semidirect
170. C22×C3⋊D3C22×C4semidirect
179. C2×D32C22×C4semidirect
185. C3×#67C22×C4semidirect
194. #626C22×C4semidirect
195. #624C22×C4semidirect
240. C2×#67C4×D3semidirect
251. C22×Dic3C22×D3semidirect
266. C2×C4×D3C22×D3semidirect
270. C3×C22⋊C4C22×D3semidirect
283. (C2×D3)⋊C4C22×D3semidirect
286. Dic3⋊C4C22×D3semidirect
289. C4×Dic3C22×D3semidirect
341. C2×C22⋊C4D32semidirect
402. #67C2×C4×D3semidirect
425. C2×C32#518semidirect
470. C22⋊C4C2×D32semidirect
524. C32C2×#518semidirect
568. C2×C3#5545semidirect
601. C3C2×#5545semidirect
606. C2#10594256direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#38112
C2×C22⋊C4×C3⋊D32
C2×C3×#67⋊C42
C2×Dic3×#672
C22×#37222
C2×D3×(C2×D3)⋊C42
C2×C4×#6262
C2×#638812
C2×#638362
#105942562
C2×#55453