Finite Group Databasebeta

← C2×#10594376 #11902684

Subgroups — C2×#10594376 #11902684

Order 1152.

3281 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×Dic6C212yesmaximal, complemented
2C2×#64097C211yesmaximal, characteristic, complemented
3C2×C3×#893C211yesmaximal, characteristic
4C2×C3×#888C211yesmaximal, characteristic, complemented
5C2×#63918C211yesmaximal, characteristic, complemented
6C2×C4×#627C211yesmaximal, characteristic, complemented
7C2×#63898C211yesmaximal, characteristic
8C2×#63896C212yesmaximal, complemented
9C2×Dic3×D12C211yesmaximal, characteristic
10C2×#63887C212yesmaximal, complemented
11C2×#63851C212yesmaximal, complemented
12#10594376C2116yesmaximal, direct product factor
13C2×#5727—31nomaximal
14C2×D4×Dic6—31nomaximal
15C22×#634C2212yes—
16C22×C3×D12C2211yescharacteristic
17C22×C3×C4×D3C2212yes—
18C22×C3×Dic6C2212yes—
19C22×#627C2212yes—
20C22×#627C2211yescharacteristic
21C22×D3×Dic3C2212yes—
22C22×D3×Dic3C2212yes—
23C2×D3×Dic6—216no—
24C2×D3×Dic6C22116yescomplemented
25C2×C32×C4⋊C4C2211yescharacteristic
26C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
27C2×#3750C2212yes—
28C2×C4×C3⋊Dic3C2211yescharacteristic
29#64097C2218yescomplemented
30C2×C3×(C2×D3)⋊C4C2212yes—
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×Dic3⋊C4C2212yes—
33C2×C3×C4×Dic3C2211yescharacteristic
34C2×C3×C4×Dic3C2211yescharacteristic
35C3×#893C2218yes—
36C3×#888C2218yescomplemented
37C2×#3724C2211yescharacteristic
38C2×Dic3⋊Dic3C2211yescharacteristic
39C2×Dic3⋊Dic3C2211yescharacteristic
40C2×Dic3⋊Dic3C2212yes—
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×(C2×D3)⋊Dic3C2212yes—
43#63918C2218yescomplemented
44C4×#627C2218yescomplemented
45#63898C2218yes—
46#63896C22116yescomplemented
47Dic3×D12C2218yes—
48#63887C22116yescomplemented
49#63851C22116yescomplemented
50C22×D3×Q8—32no—
51C23×Dic6—32no—
52C2×C3×C4⋊Q8—31no—
53C2×C3×C4×D4—31no—
54C2×#946—32no—
55C2×D4×Dic3—31no—
56C2×D4×Dic3—31no—
57C2×#924—32no—
58#5727—316no—
59D4×Dic6—316no—
60C2×#896—32no—
61C2×#896—32no—
62C2×#893—31no—
63C2×#893D311yescharacteristic
64C2×#888—31no—
65C2×#888—31no—
66C2×#888—31no—
67C2×#888—61no—
68C2×#888D311yescharacteristic, complemented
69C2×#878—32no—
70C2×#878—32no—
71C2×C4×D12—31no—
72C2×#869—31no—
73C2×C4×Dic6—31no—
74C2×C4×Dic6—31no—
75C23×C3×D3C2312yes—
76C22×C32×C4C2312yes—
77C22×C32×C4C2311yescharacteristic
78C22×C3⋊Dic3C2312yes—
79C22×C3⋊Dic3C2311yescharacteristic
80C22×C3⋊Dic3C2311yescharacteristic
81C2×#634—28no—
82C2×#634C2318yes—
83C22×C3×Dic3C2311yescharacteristic
84C22×C3×Dic3C2311yescharacteristic
85C22×C3×Dic3C2312yes—
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2311yescharacteristic
88C2×C3×D12Q818yescomplemented
89C2×C3×D12C2314yes—
90C2×C3×C4×D3—28no—
91C2×C3×C4×D3C2318yes—
92C2×C3×Dic6—28no—
93C2×C3×Dic6C2318yes—
94C2×#627—28no—
95C2×#627D418yescomplemented
96C2×#627C2318yes—
97C2×#627C2314yes—
98C2×D3×Dic3—28no—
99C2×D3×Dic3—28no—
100C2×D3×Dic3C2318yes—
101C2×D3×Dic3C2318yes—
102D3×Dic6—264no—
103C32×C4⋊C4C2314yes—
104C4⋊(C3⋊Dic3)C2314yes—
105#3750C2318yes—
106C4×C3⋊Dic3C2314yes—
107C3×(C2×D3)⋊C4C2318yes—
108C3×C4⋊Dic3C2314yes—
109C3×Dic3⋊C4C2318yes—
110C3×C4×Dic3C2314yes—
111C3×C4×Dic3C2314yes—
112#3724C2314yes—
113Dic3⋊Dic3C2314yes—
114Dic3⋊Dic3C2314yes—
115Dic3⋊Dic3C2318yes—
116(C2×D3)⋊Dic3C2318yes—
117(C2×D3)⋊Dic3C2318yes—
118C2×D4×Q8—91noSylow
119C22×C3×Q8—32no—
120C22×C3×D4—31no—
121C23×C3×C4—32no—
122C23×Dic3—32no—
123C23×Dic3—32no—
124C2×D3×Q8—316no—
125C2×D3×Q8—616no—
126C22×D12C2×D311yescharacteristic
127C22×C4×D3—32no—
128C22×C4×D3—32no—
129C22×C4×D3C2×D312yes—
130C22×Dic6—31no—
131C22×Dic6—31no—
132C22×Dic6—32no—
133C22×Dic6—32no—
134C22×Dic6—32no—
135C22×Dic6—32no—
136C22×Dic6—316no—
137C22×Dic6—62no—
138C22×Dic6—616no—
139C22×Dic6C2×D312yes—
140C3×C4⋊Q8—38no—
141C3×C4×D4—38no—
142C2×C3×C4⋊C4—21no—
143C2×C3×C4⋊C4—32no—
144C2×C3×C4⋊C4—31no—
145C2×C3×C4⋊C4C2×D311yescharacteristic
146C2×C3×C4⋊C4C2×D311yescharacteristic
147C2×C3×C22⋊C4—32no—
148C2×C3×C42—31no—
149C2×C3×C42—31no—
150C2×#217—32no—
151C2×#217—32no—
152#946—316no—
153D4×Dic3—38no—
154D4×Dic3—38no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4C2×D312yes—
158C2×C4⋊Dic3—31no—
159C2×C4⋊Dic3—31no—
160C2×C4⋊Dic3—31no—
161C2×C4⋊Dic3—31no—
162C2×C4⋊Dic3—32no—
163C2×C4⋊Dic3—61no—
164C2×C4⋊Dic3C2×D311yescharacteristic
165#924—316no—
166C2×Dic3⋊C4—32no—
167C2×Dic3⋊C4—32no—
168C2×Dic3⋊C4—31no—
169C2×Dic3⋊C4—31no—
170C2×Dic3⋊C4—31no—
171C2×Dic3⋊C4—31no—
172C2×Dic3⋊C4—32no—
173C2×Dic3⋊C4—62no—
174C2×Dic3⋊C4C2×D312yes—
175C2×C4×Dic3—31no—
176C2×C4×Dic3—31no—
177C2×C4×Dic3—61no—
178C2×C4×Dic3C2×D311yescharacteristic
179C2×C4×Dic3C2×D311yescharacteristic
180#896—316no—
181#896—316no—
182#893—38no—
183#893C2×D318yes—
184#888—38no—
185#888—38no—
186#888—38no—
187#888—68no—
188#888C2×D318yescomplemented
189#878—316no—
190#878—316no—
191C4×D12—38no—
192#869—38no—
193C4×Dic6—38no—
194C4×Dic6—38no—
195C23×C32C2411yescharacteristic
196C22×C3×D3—24no—
197C22×C3×D3—24no—
198C22×C3×D3C2×Q818yescomplemented
199C22×C3×D3C2414yes—
200C2×C32×C4—24no—
201C2×C32×C4C2×Q814yescomplemented
202C2×C32×C4C2414yes—
203C2×C32×C4C2412yes—
204C2×C3⋊Dic3—22no—
205C2×C3⋊Dic3—24no—
206C2×C3⋊Dic3C2×D414yes—
207C2×C3⋊Dic3C2412yes—
208C2×C3⋊Dic3C2414yes—
209C2×C3⋊Dic3C2412yes—
210#634—216no—
211C2×C3×Dic3—24no—
212C2×C3×Dic3—22no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3C2×D414yes—
215C2×C3×Dic3C2×D414yes—
216C2×C3×Dic3C2412yes—
217C2×C3×Dic3C2414yes—
218C2×C3×Dic3C2412yes—
219C2×C3×Dic3C2412yes—
220C2×C3×Dic3C2412yes—
221C3×D12C2×Q8116yescomplemented
222C3×C4×D3—216no—
223C3×Dic6—216no—
224#627—216no—
225#627C2×D4116yescomplemented
226D3×Dic3—216no—
227D3×Dic3—216no—
228C23×Q8—92no—
229D4×Q8—916no—
230C2×C4⋊Q8—31no—
231C2×C4⋊Q8—91no—
232C2×C4⋊Q8—91no—
233C2×C22⋊Q8—92no—
234C2×C22⋊Q8—92no—
235C2×C22⋊Q8—92no—
236C2×C4×Q8—91no—
237C2×C4×D4—31no—
238C2×C4×D4—91no—
239C2×C4×D4—91no—
240C24×C3—32no—
241C23×D3C22×D312yes—
242C2×C3×Q8—38no—
243C2×C3×Q8—68no—
244C2×C3×D4—38no—
245C2×C3×D4—34no—
246C22×C3×C4—21no—
247C22×C3×C4—22no—
248C22×C3×C4—31no—
249C22×C3×C4—31no—
250C22×C3×C4—31no—
251C22×C3×C4—31no—
252C22×C3×C4—32no—
253C22×C3×C4—38no—
254C22×C3×C4—68no—
255C22×C3×C4C22×D312yes—
256C22×C3×C4C22×D312yes—
257C22×C3×C4C22×D311yescharacteristic
258C22×C3×C4C22×D311yescharacteristic
259C22×Dic3—31no—
260C22×Dic3—31no—
261C22×Dic3—31no—
262C22×Dic3—31no—
263C22×Dic3—32no—
264C22×Dic3—32no—
265C22×Dic3—38no—
266C22×Dic3—38no—
267C22×Dic3—61no—
268C22×Dic3—61no—
269C22×Dic3—62no—
270C22×Dic3—68no—
271C22×Dic3—68no—
272C22×Dic3C22×D311yescharacteristic
273C22×Dic3C22×D311yescharacteristic
274C22×Dic3C22×D312yes—
275C22×Dic3C22×D311yescharacteristic
276C22×Dic3C22×D311yescharacteristic
277D3×Q8—664no—
278C2×D12Dic618yescomplemented
279C2×D12C22×D314yes—
280C2×C4×D3—28no—
281C2×C4×D3—38no—
282C2×C4×D3—38no—
283C2×C4×D3—68no—
284C2×C4×D3—68no—
285C2×C4×D3C22×D318yes—
286C2×Dic6—28no—
287C2×Dic6—38no—
288C2×Dic6—38no—
289C2×Dic6—34no—
290C2×Dic6—34no—
291C2×Dic6—38no—
292C2×Dic6—38no—
293C2×Dic6—38no—
294C2×Dic6—38no—
295C2×Dic6—68no—
296C2×Dic6—664no—
297C2×Dic6—68no—
298C2×Dic6—68no—
299C2×Dic6—68no—
300C2×Dic6—68no—
301C2×Dic6—128no—
302C2×Dic6C22×D318yes—
303C3×C4⋊C4—24no—
304C3×C4⋊C4—34no—
305C3×C4⋊C4—38no—
306C3×C4⋊C4C22×D314yes—
307C3×C4⋊C4C22×D314yes—
308C3×C22⋊C4—38no—
309C3×C42—34no—
310C3×C42—34no—
311#217—38no—
312#217—38no—
313(C2×D3)⋊C4—38no—
314(C2×D3)⋊C4—38no—
315(C2×D3)⋊C4C22×D318yes—
316C4⋊Dic3—34no—
317C4⋊Dic3—34no—
318C4⋊Dic3—34no—
319C4⋊Dic3—34no—
320C4⋊Dic3—38no—
321C4⋊Dic3—64no—
322C4⋊Dic3C22×D314yes—
323Dic3⋊C4—38no—
324Dic3⋊C4—38no—
325Dic3⋊C4—34no—
326Dic3⋊C4—34no—
327Dic3⋊C4—34no—
328Dic3⋊C4—34no—
329Dic3⋊C4—38no—
330Dic3⋊C4—68no—
331Dic3⋊C4C22×D318yes—
332C4×Dic3—34no—
333C4×Dic3—34no—
334C4×Dic3—64no—
335C4×Dic3C22×D314yes—
336C4×Dic3C22×D314yes—
337C22×C32C22×D412yes—
338C22×C32C22×Q812yes—
339C22×C322−1+412yes—
340C22×C32C2511yescharacteristic
341C2×C3×D3—216no—
342C2×C3×D3—24no—
343C2×C3×D3—24no—
344C2×C3×D3C22×Q818yescomplemented
345C32×C4—24no—
346C32×C4C22×Q814yescomplemented
347C3⋊Dic3—22no—
348C3⋊Dic3—24no—
349C3⋊Dic3C22×D414yes—
350C3×Dic3—24no—
351C3×Dic3—22no—
352C3×Dic3—22no—
353C3×Dic3C22×D414yes—
354C3×Dic3C22×D414yes—
355C22×Q8—32no—
356C22×Q8—91no—
357C22×Q8—92no—
358C22×Q8—916no—
359C22×Q8—92no—
360C22×Q8—1816no—
361C22×D4—31no—
362C23×C4—32no—
363C23×C4—92no—
364C23×C4—92no—
365C4⋊Q8—38no—
366C4⋊Q8—98no—
367C4⋊Q8—98no—
368C22⋊Q8—916no—
369C22⋊Q8—916no—
370C22⋊Q8—916no—
371C4×Q8—98no—
372C4×D4—38no—
373C4×D4—98no—
374C4×D4—98no—
375C2×C4⋊C4—31no—
376C2×C4⋊C4—32no—
377C2×C4⋊C4—91no—
378C2×C4⋊C4—91no—
379C2×C4⋊C4—91no—
380C2×C4⋊C4—92no—
381C2×C4⋊C4—91no—
382C2×C4⋊C4—92no—
383C2×C4⋊C4D3211yescharacteristic
384C2×C22⋊C4—32no—
385C2×C22⋊C4—92no—
386C2×C22⋊C4—92no—
387C2×C42—31no—
388C2×C42—31no—
389C2×C42—91no—
390C23×C3—21no—
391C23×C3—38no—
392C23×C3—34no—
393C23×C3—64no—
394C23×C3—64no—
395C23×C3C23×D311yescharacteristic
396C23×C3C23×D311yescharacteristic
397C22×D3—24no—
398C22×D3—24no—
399C22×D3C2×Dic618yescomplemented
400C22×D3C23×D314yes—
401C3×Q8—616no—
402C3×D4—316no—
403C2×C3×C4—24no—
404C2×C3×C4—24no—
405C2×C3×C4—22no—
406C2×C3×C4—24no—
407C2×C3×C4—24no—
408C2×C3×C4—34no—
409C2×C3×C4—34no—
410C2×C3×C4—32no—
411C2×C3×C4—32no—
412C2×C3×C4—32no—
413C2×C3×C4—32no—
414C2×C3×C4—34no—
415C2×C3×C4—44no—
416C2×C3×C4—616no—
417C2×C3×C4—64no—
418C2×C3×C4—62no—
419C2×C3×C4—62no—
420C2×C3×C4C2×Dic614yescomplemented
421C2×C3×C4D3×Q814yescomplemented
422C2×C3×C4C23×D314yes—
423C2×C3×C4C23×D314yes—
424C2×C3×C4C23×D312yes—
425C2×C3×C4C23×D312yes—
426C2×Dic3—24no—
427C2×Dic3—22no—
428C2×Dic3—22no—
429C2×Dic3—34no—
430C2×Dic3—34no—
431C2×Dic3—32no—
432C2×Dic3—32no—
433C2×Dic3—32no—
434C2×Dic3—32no—
435C2×Dic3—34no—
436C2×Dic3—34no—
437C2×Dic3—64no—
438C2×Dic3—62no—
439C2×Dic3—62no—
440C2×Dic3—64no—
441C2×Dic3—616no—
442C2×Dic3—64no—
443C2×Dic3—64no—
444C2×Dic3—64no—
445C2×Dic3—62no—
446C2×Dic3—62no—
447C2×Dic3—616no—
448C2×Dic3—124no—
449C2×Dic3D3×D414yes—
450C2×Dic3D3×D414yes—
451C2×Dic3C23×D312yes—
452C2×Dic3C23×D312yes—
453C2×Dic3C23×D314yes—
454C2×Dic3C23×D312yes—
455C2×Dic3C23×D312yes—
456D12C2×Dic6116yescomplemented
457C4×D3—216no—
458C4×D3—616no—
459C4×D3—616no—
460Dic6—216no—
461Dic6—316no—
462Dic6—316no—
463Dic6—616no—
464Dic6—616no—
465Dic6—616no—
466Dic6—616no—
467Dic6—1216no—
468C2×C32D4×Q814yescomplemented
469C2×C32C23×D411yescharacteristic
470C2×C32C23×Q811yescharacteristic
471C2×C32C2×2−1+411yescharacteristic
472C3×D3—28no—
473C24—32no—
474C2×Q8—38no—
475C2×Q8—68no—
476C2×Q8—94no—
477C2×Q8—98no—
478C2×Q8—98no—
479C2×Q8—98no—
480C2×Q8—188no—
481C2×Q8—188no—
482C2×Q8—1864no—
483C2×D4—34no—
484C2×D4—38no—
485C22×C4—31no—
486C22×C4—31no—
487C22×C4—31no—
488C22×C4—31no—
489C22×C4—32no—
490C22×C4—38no—
491C22×C4—68no—
492C22×C4—98no—
493C22×C4—98no—
494C22×C4—91no—
495C22×C4—91no—
496C22×C4—92no—
497C22×C4—188no—
498C22×C4—188no—
499C22×C4C2×D3212yes—
500C22×C4C2×D3211yescharacteristic
501C4⋊C4—34no—
502C4⋊C4—38no—
503C4⋊C4—94no—
504C4⋊C4—94no—
505C4⋊C4—94no—
506C4⋊C4—98no—
507C4⋊C4—94no—
508C4⋊C4—98no—
509C4⋊C4C2×D3214yes—
510C22⋊C4—38no—
511C22⋊C4—98no—
512C22⋊C4—98no—
513C42—34no—
514C42—34no—
515C42—94no—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—22no—
519C22×C3—21no—
520C22×C3—38no—
521C22×C3—64no—
522C22×C3—64no—
523C22×C3—616no—
524C22×C3C22×Dic612yes—
525C22×C3C2×D3×D412yes—
526C22×C3C2×D3×D412yes—
527C22×C3C2×D3×Q812yes—
528C22×C3#100712yes—
529C22×C3#101012yes—
530C22×C3C24×D311yescharacteristic
531C22×C3C24×D311yescharacteristic
532C2×D3—24no—
533C2×D3—24no—
534C2×D3—216no—
535C2×D3C22×Dic618yescomplemented
536C3×C4—24no—
537C3×C4—24no—
538C3×C4—24no—
539C3×C4—34no—
540C3×C4—34no—
541C3×C4—44no—
542C3×C4—64no—
543C3×C4—62no—
544C3×C4—62no—
545C3×C4C22×Dic614yescomplemented
546C3×C4C2×D3×Q814yescomplemented
547Dic3—24no—
548Dic3—22no—
549Dic3—22no—
550Dic3—34no—
551Dic3—34no—
552Dic3—64no—
553Dic3—64no—
554Dic3—64no—
555Dic3—64no—
556Dic3—62no—
557Dic3—62no—
558Dic3—124no—
559Dic3C2×D3×D414yes—
560Dic3C2×D3×D414yes—
561C32C2×D4×Q811yescharacteristic, complemented, Sylow
562C23—38no—
563C23—34no—
564C23—64no—
565C23—64no—
566C23C22×D3211yescharacteristic
567Q8—616no—
568Q8—916no—
569Q8—1816no—
570Q8—1816no—
571D4—316no—
572C2×C4—24no—
573C2×C4—34no—
574C2×C4—34no—
575C2×C4—32no—
576C2×C4—32no—
577C2×C4—32no—
578C2×C4—32no—
579C2×C4—34no—
580C2×C4—616no—
581C2×C4—64no—
582C2×C4—62no—
583C2×C4—62no—
584C2×C4—94no—
585C2×C4—92no—
586C2×C4—92no—
587C2×C4—94no—
588C2×C4—1816no—
589C2×C4—1816no—
590C2×C4—184no—
591C2×C4—182no—
592C2×C4D3×Dic614yescomplemented
593C2×C4C22×D3214yes—
594C2×C4C22×D3212yes—
595C2×C3—21no—
596C2×C3—21no—
597C2×C3—24no—
598C2×C3—21no—
599C2×C3—68no—
600C2×C3D4×Dic614yescomplemented
601C2×C3#572714yescomplemented
602C2×C3C23×Dic611yescharacteristic
603C2×C3C22×D3×D411yescharacteristic
604C2×C3C22×D3×D411yescharacteristic
605C2×C3C22×D3×Q811yescharacteristic
606C2×C3C2×#100711yescharacteristic
607C2×C3C2×#101011yescharacteristic
608D3—28no—
609C22—38no—
610C22—64no—
611C22—616no—
612C22—64no—
613C22C2×D3×Dic612yes—
614C22D32×D412yes—
615C22#6431512yes—
616C22C23×D3211yescharacteristic
617C4—24no—
618C4—34no—
619C4—34no—
620C4—64no—
621C4—62no—
622C4—62no—
623C4—94no—
624C4—184no—
625C4—182no—
626C4C2×D3×Dic614yescomplemented
627C3—21no—
628C3C2×D4×Dic611yescharacteristic, complemented
629C3C2×#572711yescharacteristic, complemented
630C2—68no—
631C2#1059437614yesdirect product factor
632C2C22×D3×Dic611yescharacteristic
633C2C2×D32×D411yescharacteristic
634C2C2×#6431511yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
prime radicalC22×C3×D12C22
hypercenterC2×C4⋊C4D32
hypocenterC32C2×D4×Q8
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×D3×Dic6C2semidirect
2. C2×#64097C2semidirect
4. C2×C3×#888C2semidirect
5. C2×#63918C2semidirect
6. C2×C4×#627C2semidirect
8. C2×#63896C2semidirect
10. C2×#63887C2semidirect
11. C2×#63851C2semidirect
12. #10594376C2direct (N × H)
24. C2×D3×Dic6C22semidirect
29. #64097C22semidirect
36. C3×#888C22semidirect
43. #63918C22semidirect
44. C4×#627C22semidirect
46. #63896C22semidirect
48. #63887C22semidirect
49. #63851C22semidirect
68. C2×#888D3semidirect
88. C2×C3×D12Q8semidirect
95. C2×#627D4semidirect
188. #888C2×D3semidirect
198. C22×C3×D3C2×Q8semidirect
201. C2×C32×C4C2×Q8semidirect
221. C3×D12C2×Q8semidirect
225. #627C2×D4semidirect
278. C2×D12Dic6semidirect
344. C2×C3×D3C22×Q8semidirect
346. C32×C4C22×Q8semidirect
399. C22×D3C2×Dic6semidirect
420. C2×C3×C4C2×Dic6semidirect
421. C2×C3×C4D3×Q8semidirect
456. D12C2×Dic6semidirect
468. C2×C32D4×Q8semidirect
535. C2×D3C22×Dic6semidirect
545. C3×C4C22×Dic6semidirect
546. C3×C4C2×D3×Q8semidirect
561. C32C2×D4×Q8semidirect
592. C2×C4D3×Dic6semidirect
600. C2×C3D4×Dic6semidirect
601. C2×C3#5727semidirect
626. C4C2×D3×Dic6semidirect
628. C3C2×D4×Dic6semidirect
629. C3C2×#5727semidirect
631. C2#10594376direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D3×Dic62
C2×#640972
C2×C3×#8932
C2×C3×#8882
C2×#639182
C2×C4×#6272
C2×#638982
C2×#638962
C2×Dic3×D122
C2×#638872
C2×#638512
#105943762
C2×#57273
C2×D4×Dic63