Finite Group Databasebeta

← C2×#10591467 #11863576

Subgroups — C2×#10591467 #11863576

Order 1152.

2673 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×C3⋊D3C211yesmaximal, characteristic
2C22×C3×#214C211yesmaximal, characteristic, complemented
3C2×#63871C211yesmaximal, characteristic, complemented
4C22×#3717C211yesmaximal, characteristic, complemented
5C2×C3×#832C211yesmaximal, characteristic, complemented
6#10591467C218yesmaximal, direct product factor
7C2×#63564C211yesmaximal, characteristic, complemented
8C2×#63557C211yesmaximal, characteristic, complemented
9C2×#5169—31nomaximal
10C2×#4776—31nomaximal
11C24×C3⋊D3—21no—
12C22×C32×D4C2211yescharacteristic
13C22×#638—21no—
14C2×D4×C3⋊D3—24no—
15C2×D4×C3⋊D3—24no—
16C2×D4×C3⋊D3—22no—
17C2×D4×C3⋊D3C2214yes—
18C22×C4⋊(C3⋊D3)C2211yescharacteristic
19C22×C4×C3⋊D3C2211yescharacteristic
20C22×C3×Dic6C2211yescharacteristic, complemented
21C2×C3×#214—24no—
22C2×C3×#214C2214yescomplemented
23C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
24C22×C3×C3⋊C8C2211yescharacteristic, complemented
25C22×C3×C3⋊C8C2211yescharacteristic, complemented
26C2×Dic3⋊Dic3—21no—
27C2×#3722—21no—
28#63871—22no—
29#63871C2214yescomplemented
30C2×#3717—24no—
31C2×#3717C2214yescomplemented
32C3×#832C2214yescomplemented
33#63564C2214yescomplemented
34#63557C2214yescomplemented
35C22×D3×D4—31no—
36C22×D3×D4—31no—
37C22×D3×D4—61no—
38C22×C3×SD16—31no—
39C2×#946—31no—
40C22×#215—31no—
41C22×#214D311yescharacteristic, complemented
42C22×#204—31no—
43C2×#897—31no—
44C2×C3×#102—31no—
45C2×#832D311yescharacteristic, complemented
46#5169—38no—
47C2×#821—31no—
48C2×(C2×D3)⋊C8—31no—
49C2×(C2×D3)⋊C8—31no—
50C2×#809—31no—
51#4776—38no—
52C24×C32—21no—
53C23×C3⋊D3—28no—
54C23×C3⋊D3—21no—
55C23×C3⋊D3—24no—
56C23×C3⋊D3—44no—
57C23×C3⋊D3—44no—
58C23×C3⋊D3D411yescharacteristic
59C2×C32×D4—21no—
60C2×C32×D4—22no—
61C2×C32×D4D414yes—
62C2×C32×D4C2312yes—
63C22×C32×C4C2311yescharacteristic
64C2×#638—28no—
65C2×#638—24no—
66C22×C3⋊Dic3D411yescharacteristic
67D4×C3⋊D3—216no—
68D4×C3⋊D3—28no—
69D4×C3⋊D3—28no—
70C2×C4⋊(C3⋊D3)—21no—
71C2×C4⋊(C3⋊D3)—22no—
72C2×C4⋊(C3⋊D3)D414yes—
73C2×C4⋊(C3⋊D3)C2312yes—
74C2×C4×C3⋊D3—22no—
75C2×C4×C3⋊D3—22no—
76C2×C4×C3⋊D3D412yes—
77C2×C4×C3⋊D3C2312yes—
78C22×C3×Dic3—21no—
79C22×C3×Dic3—21no—
80C2×C3×Dic6—22no—
81C2×C3×Dic6—22no—
82C2×C3×Dic6—21no—
83C2×C3×Dic6C2312yescomplemented
84C3×#214—28no—
85C3×C4⋊Dic3—21no—
86C3×C4⋊Dic3C2312yescomplemented
87C2×C3×C3⋊C8—22no—
88C2×C3×C3⋊C8—22no—
89C2×C3×C3⋊C8C2312yescomplemented
90C2×C3×C3⋊C8C2312yescomplemented
91Dic3⋊Dic3—24no—
92#3722—24no—
93#3717—28no—
94C2×#450—91noSylow
95C24×D3—61no—
96C24×D3—61no—
97C24×D3—62no—
98C22×C3×Q8—31no—
99C22×C3×D4—21no—
100C22×C3×D4C2×D311yescharacteristic
101C22×C3×D4C2×D311yescharacteristic
102C22×#67—61no—
103C22×#67—61no—
104C22×#67—62no—
105C2×D3×D4—34no—
106C2×D3×D4—34no—
107C2×D3×D4—64no—
108C2×D3×D4—62no—
109C2×D3×D4—62no—
110C2×D3×D4—64no—
111C2×D3×D4—64no—
112C2×D3×D4—64no—
113C2×D3×D4—68no—
114C2×D3×D4—68no—
115C2×D3×D4—64no—
116C2×D3×D4—64no—
117C22×D12—31no—
118C22×D12—31no—
119C22×D12—61no—
120C22×C4×D3—31no—
121C22×C4×D3—31no—
122C22×C4×D3—61no—
123C22×Dic6C2×D311yescharacteristic, complemented
124C2×C3×SD16—34no—
125C2×C3×SD16—64no—
126C22×C3×C8—31no—
127C22×C3×C8—31no—
128C2×C3×C4⋊C4—31no—
129#946—34no—
130#946—62no—
131C2×#215—34no—
132C2×#215—64no—
133C2×#214—24no—
134C2×#214C2×D314yescomplemented
135C2×(C2×D3)⋊C4—61no—
136C2×(C2×D3)⋊C4—61no—
137C2×C4⋊Dic3—61no—
138C2×C4⋊Dic3C2×D311yescharacteristic, complemented
139C2×Dic3⋊C4—61no—
140C22×C3⋊C8C2×D311yescharacteristic, complemented
141C22×C3⋊C8C2×D311yescharacteristic, complemented
142C2×#204—34no—
143C2×#204—64no—
144#897—34no—
145#897—62no—
146C3×#102—34no—
147#832C2×D314yescomplemented
148#821—34no—
149(C2×D3)⋊C8—34no—
150(C2×D3)⋊C8—34no—
151#809—34no—
152C23×C32—24no—
153C23×C32—22no—
154C23×C32—42no—
155C23×C32—42no—
156C23×C32C2×D411yescharacteristic
157C22×C3⋊D3—22no—
158C22×C3⋊D3—22no—
159C22×C3⋊D3—216no—
160C22×C3⋊D3—24no—
161C22×C3⋊D3—22no—
162C22×C3⋊D3—48no—
163C22×C3⋊D3—432no—
164C22×C3⋊D3—42no—
165C22×C3⋊D3—42no—
166C22×C3⋊D3—48no—
167C22×C3⋊D3SD1614yescomplemented
168C22×C3⋊D3C2×D412yes—
169C32×D4—24no—
170C32×D4—22no—
171C32×D4C2×D414yes—
172C2×C32×C4C2×D412yes—
173C2×C32×C4C2×D411yescharacteristic
174C2×C32×C4C2×D412yes—
175C2×C32×C4C2411yescharacteristic
176#638—216no—
177C2×C3⋊Dic3—22no—
178C2×C3⋊Dic3C2×D412yes—
179C4⋊(C3⋊D3)—24no—
180C4⋊(C3⋊D3)—22no—
181C4⋊(C3⋊D3)C2×D414yes—
182C4×C3⋊D3—24no—
183C4×C3⋊D3—22no—
184C4×C3⋊D3—22no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—42no—
188C2×C3×Dic3—42no—
189C3×Dic6—22no—
190C3×Dic6—22no—
191C3×Dic6—42no—
192C3×C3⋊C8—22no—
193C3×C3⋊C8—22no—
194C23×D4—91no—
195C22×SD16—31no—
196C22×SD16—91no—
197C2×C22⋊Q8—91no—
198#450—98no—
199C2×#102—31no—
200C2×#102—91no—
201C2×C22⋊C8—91no—
202C24×C3—22no—
203C24×C3—21no—
204C24×C3—21no—
205C23×D3—31no—
206C23×D3—31no—
207C23×D3—61no—
208C23×D3—64no—
209C23×D3—64no—
210C23×D3—62no—
211C23×D3—68no—
212C23×D3—616no—
213C23×D3—68no—
214C23×D3—68no—
215C23×D3—61no—
216C23×D3—61no—
217C23×D3—124no—
218C23×D3—124no—
219C23×D3—128no—
220C23×D3—128no—
221C23×D3—124no—
222C23×D3—124no—
223C2×C3×Q8—32no—
224C2×C3×Q8—61no—
225C2×C3×Q8—62no—
226C2×C3×Q8—62no—
227C2×C3×D4—24no—
228C2×C3×D4—22no—
229C2×C3×D4—21no—
230C2×C3×D4—22no—
231C2×C3×D4—21no—
232C2×C3×D4—22no—
233C2×C3×D4—24no—
234C2×C3×D4—22no—
235C2×C3×D4D1214yes—
236C2×C3×D4#6714yes—
237C2×C3×D4C22×D312yes—
238C2×C3×D4C22×D312yes—
239C22×C3×C4—21no—
240C22×C3×C4—61no—
241C22×C3×C4—61no—
242C22×C3×C4C22×D311yescharacteristic
243C22×C3×C4C22×D311yescharacteristic
244C2×#67—64no—
245C2×#67—64no—
246C2×#67—68no—
247C2×#67—616no—
248C2×#67—68no—
249C2×#67—68no—
250C22×Dic3—21no—
251C22×Dic3—21no—
252C22×Dic3—31no—
253C22×Dic3—31no—
254C22×Dic3—61no—
255D3×D4—68no—
256D3×D4—68no—
257D3×D4—616no—
258D3×D4—632no—
259D3×D4—616no—
260D3×D4—616no—
261D3×D4—616no—
262D3×D4—68no—
263D3×D4—68no—
264C2×D12—34no—
265C2×D12—34no—
266C2×D12—32no—
267C2×D12—32no—
268C2×D12—64no—
269C2×D12—62no—
270C2×D12—64no—
271C2×D12—62no—
272C2×D12—62no—
273C2×D12—61no—
274C2×D12—61no—
275C2×D12—62no—
276C2×C4×D3—32no—
277C2×C4×D3—32no—
278C2×C4×D3—32no—
279C2×C4×D3—32no—
280C2×C4×D3—62no—
281C2×C4×D3—62no—
282C2×C4×D3—64no—
283C2×C4×D3—64no—
284C2×C4×D3—62no—
285C2×C4×D3—62no—
286C2×C4×D3—62no—
287C2×C4×D3—62no—
288C2×Dic6—22no—
289C2×Dic6—22no—
290C2×Dic6—21no—
291C2×Dic6C22×D312yescomplemented
292C3×SD16—68no—
293C2×C3×C8—32no—
294C2×C3×C8—32no—
295C2×C3×C8—62no—
296C2×C3×C8—62no—
297C3×C4⋊C4—32no—
298C3×C4⋊C4—61no—
299#215—68no—
300#214—28no—
301(C2×D3)⋊C4—64no—
302(C2×D3)⋊C4—64no—
303C4⋊Dic3—21no—
304C4⋊Dic3—64no—
305C4⋊Dic3C22×D312yescomplemented
306Dic3⋊C4—64no—
307C2×C3⋊C8—22no—
308C2×C3⋊C8—22no—
309C2×C3⋊C8C22×D312yescomplemented
310C2×C3⋊C8C22×D312yescomplemented
311#204—68no—
312C22×C32—24no—
313C22×C32—42no—
314C22×C32—42no—
315C22×C32—48no—
316C22×C32#12012yes—
317C22×C32C2×SD1612yes—
318C22×C32AGL(1,ℤ/8)12yes—
319C22×C32C22×D411yescharacteristic
320C2×C3⋊D3—22no—
321C2×C3⋊D3—22no—
322C2×C3⋊D3—28no—
323C2×C3⋊D3—24no—
324C2×C3⋊D3—432no—
325C2×C3⋊D3—42no—
326C2×C3⋊D3—42no—
327C2×C3⋊D3—48no—
328C2×C3⋊D3C2×SD1614yescomplemented
329C32×C4#12012yes—
330C32×C4C22×D411yescharacteristic
331C32×C4C22×D411yescharacteristic
332C3⋊Dic3—22no—
333C3×Dic3—42no—
334C3×Dic3—42no—
335C25—181no—
336C22×Q8—31no—
337C22×D4—94no—
338C22×D4—91no—
339C22×D4—182no—
340C22×D4—181no—
341C22×D4—184no—
342C22×D4—184no—
343C22×D4D3211yescharacteristic
344C23×C4—91no—
345C2×SD16—34no—
346C2×SD16—64no—
347C2×SD16—94no—
348C2×SD16—184no—
349C22×C8—31no—
350C22×C8—31no—
351C22⋊Q8—94no—
352C22⋊Q8—182no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—181no—
355C2×C22⋊C4—181no—
356#102—34no—
357#102—94no—
358C22⋊C8—94no—
359C23×C3—24no—
360C23×C3—28no—
361C23×C3—24no—
362C23×C3—24no—
363C23×C3—22no—
364C23×C3—22no—
365C23×C3—21no—
366C23×C3—44no—
367C23×C3—44no—
368C23×C3—42no—
369C23×C3—42no—
370C23×C3—42no—
371C23×C3—42no—
372C23×C3D3×D411yescharacteristic
373C23×C3D3×D411yescharacteristic
374C22×D3—34no—
375C22×D3—34no—
376C22×D3—32no—
377C22×D3—32no—
378C22×D3—64no—
379C22×D3—62no—
380C22×D3—64no—
381C22×D3—64no—
382C22×D3—62no—
383C22×D3—62no—
384C22×D3—62no—
385C22×D3—62no—
386C22×D3—64no—
387C22×D3—68no—
388C22×D3—632no—
389C22×D3—616no—
390C22×D3—616no—
391C22×D3—64no—
392C22×D3—64no—
393C22×D3—62no—
394C22×D3—62no—
395C22×D3—128no—
396C22×D3—128no—
397C22×D3—1216no—
398C22×D3—1216no—
399C22×D3—1264no—
400C22×D3—1232no—
401C22×D3—128no—
402C22×D3—128no—
403C22×D3—1232no—
404C22×D3—124no—
405C22×D3—124no—
406C22×D3—122no—
407C22×D3—122no—
408C22×D3—122no—
409C22×D3—122no—
410C3×Q8—62no—
411C3×Q8—62no—
412C3×Q8—122no—
413C3×D4—24no—
414C3×D4—28no—
415C3×D4—24no—
416C3×D4—24no—
417C3×D4—22no—
418C3×D4—22no—
419C3×D4—24no—
420C3×D4C2×D1214yes—
421C3×D4C2×#6714yes—
422C2×C3×C4—21no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—21no—
426C2×C3×C4—62no—
427C2×C3×C4—62no—
428C2×C3×C4—122no—
429C2×C3×C4—122no—
430C2×C3×C4C2×D1212yes—
431C2×C3×C4D3×D411yescharacteristic
432C2×C3×C4D3×D412yes—
433C2×C3×C4D3×D411yescharacteristic
434C2×C3×C4D3×D412yes—
435C2×C3×C4C2×#6712yes—
436C2×C3×C4C23×D311yescharacteristic
437C2×C3×C4C23×D311yescharacteristic
438#67—632no—
439#67—616no—
440#67—616no—
441C2×Dic3—22no—
442C2×Dic3—22no—
443C2×Dic3—32no—
444C2×Dic3—32no—
445C2×Dic3—42no—
446C2×Dic3—42no—
447C2×Dic3—62no—
448C2×Dic3—64no—
449C2×Dic3—62no—
450C2×Dic3—62no—
451D12—34no—
452D12—34no—
453D12—64no—
454D12—64no—
455D12—68no—
456D12—64no—
457D12—64no—
458D12—62no—
459D12—62no—
460C4×D3—64no—
461C4×D3—64no—
462C4×D3—68no—
463C4×D3—64no—
464C4×D3—64no—
465C4×D3—62no—
466C4×D3—62no—
467C4×D3—62no—
468C4×D3—62no—
469Dic6—22no—
470Dic6—22no—
471Dic6—42no—
472C3×C8—62no—
473C3×C8—62no—
474C3⋊C8—22no—
475C3⋊C8—22no—
476C2×C32—44no—
477C2×C32#45014yescomplemented
478C2×C32C2×#12011yescharacteristic
479C2×C32C22×SD1611yescharacteristic
480C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
481C3⋊D3—24no—
482C3⋊D3—44no—
483C24—21no—
484C24—91no—
485C24—184no—
486C24—188no—
487C24—181no—
488C24—364no—
489C24—364no—
490C2×Q8—32no—
491C2×Q8—61no—
492C2×Q8—62no—
493C2×Q8—62no—
494C2×D4—22no—
495C2×D4—21no—
496C2×D4—92no—
497C2×D4—94no—
498C2×D4—184no—
499C2×D4—188no—
500C2×D4—1816no—
501C2×D4—188no—
502C2×D4—188no—
503C2×D4—182no—
504C2×D4—181no—
505C2×D4#62614yes—
506C2×D4C2×D3212yes—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—91no—
510C22×C4—92no—
511C22×C4—92no—
512C22×C4—182no—
513C22×C4—182no—
514C22×C4C2×D3211yescharacteristic
515SD16—68no—
516SD16—188no—
517C2×C8—32no—
518C2×C8—32no—
519C2×C8—62no—
520C2×C8—62no—
521C4⋊C4—32no—
522C4⋊C4—61no—
523C4⋊C4—184no—
524C22⋊C4—184no—
525C22×C3—28no—
526C22×C3—24no—
527C22×C3—24no—
528C22×C3—21no—
529C22×C3—22no—
530C22×C3—22no—
531C22×C3—22no—
532C22×C3—44no—
533C22×C3—44no—
534C22×C3—416no—
535C22×C3—48no—
536C22×C3—42no—
537C22×C3—42no—
538C22×C3—42no—
539C22×C3—42no—
540C22×C3—48no—
541C22×C3#88212yes—
542C22×C3#91112yes—
543C22×C3D3×SD1612yes—
544C22×C3D3×SD1612yes—
545C22×C3#91412yes—
546C22×C3#93712yes—
547C22×C3C2×D3×D411yescharacteristic
548C22×C3C2×D3×D411yescharacteristic
549C2×D3—34no—
550C2×D3—34no—
551C2×D3—64no—
552C2×D3—64no—
553C2×D3—64no—
554C2×D3—616no—
555C2×D3—68no—
556C2×D3—62no—
557C2×D3—62no—
558C2×D3—62no—
559C2×D3—62no—
560C2×D3—68no—
561C2×D3—68no—
562C2×D3—64no—
563C2×D3—64no—
564C2×D3—1264no—
565C2×D3—1232no—
566C2×D3—1232no—
567C2×D3—124no—
568C2×D3—124no—
569C2×D3—1216no—
570C2×D3—128no—
571C2×D3—122no—
572C2×D3—122no—
573C2×D3—122no—
574C2×D3—122no—
575C2×D3—128no—
576C3×C4—21no—
577C3×C4—21no—
578C3×C4—22no—
579C3×C4—122no—
580C3×C4—122no—
581C3×C4#88212yes—
582C3×C4#93712yes—
583C3×C4C22×D1211yescharacteristic
584C3×C4C2×D3×D411yescharacteristic
585C3×C4C2×D3×D411yescharacteristic
586C3×C4C22×#6711yescharacteristic
587Dic3—42no—
588Dic3—42no—
589Dic3—64no—
590Dic3—62no—
591Dic3—62no—
592C32C2×#45011yescharacteristic, complemented, Sylow
593C23—22no—
594C23—24no—
595C23—42no—
596C23—42no—
597C23—92no—
598C23—94no—
599C23—1816no—
600C23—182no—
601C23—182no—
602C23—182no—
603C23—184no—
604C23—368no—
605C23—368no—
606C23—3632no—
607C23—362no—
608C23—362no—
609C23#381111yescharacteristic
610Q8—62no—
611Q8—62no—
612Q8—122no—
613D4—22no—
614D4—24no—
615D4—94no—
616D4—1816no—
617D4—182no—
618D4—184no—
619D4C2×#62614yes—
620C2×C4—62no—
621C2×C4—62no—
622C2×C4—92no—
623C2×C4—122no—
624C2×C4—122no—
625C2×C4—182no—
626C2×C4—182no—
627C2×C4—182no—
628C2×C4—184no—
629C2×C4C2×#62612yes—
630C2×C4#381112yes—
631C2×C4#381111yescharacteristic
632C2×C4C22×D3211yescharacteristic
633C8—62no—
634C8—62no—
635C2×C3—21no—
636C2×C3—21no—
637C2×C3—21no—
638C2×C3—24no—
639C2×C3—48no—
640C2×C3—44no—
641C2×C3—44no—
642C2×C3#477614yescomplemented
643C2×C3#516914yescomplemented
644C2×C3C2×#88211yescharacteristic
645C2×C3C2×#91111yescharacteristic
646C2×C3C2×D3×SD1611yescharacteristic
647C2×C3C2×D3×SD1611yescharacteristic
648C2×C3C2×#91411yescharacteristic
649C2×C3C2×#93711yescharacteristic
650D3—68no—
651D3—64no—
652D3—64no—
653D3—128no—
654D3—124no—
655D3—124no—
656C22—24no—
657C22—42no—
658C22—42no—
659C22—48no—
660C22—94no—
661C22—182no—
662C22—182no—
663C22—188no—
664C22—184no—
665C22—3632no—
666C22—362no—
667C22—362no—
668C22—368no—
669C22#6393012yes—
670C22#6393712yes—
671C22#6398112yes—
672C22C2×#381111yescharacteristic
673C4—122no—
674C4—122no—
675C4—182no—
676C4#6398112yes—
677C4C22×#62611yescharacteristic
678C4C2×#381111yescharacteristic
679C3—21no—
680C3C2×#477611yescharacteristic, complemented
681C3C2×#516911yescharacteristic, complemented
682C2—44no—
683C2—184no—
684C2—364no—
685C2#1059146714yesdirect product factor
686C2C2×#6393011yescharacteristic
687C2C2×#6393711yescharacteristic
688C2C2×#6398111yescharacteristic
subgroupG/H
centerC23#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×D4C22
socleC23×C32C2×D4
prime radicalC22×D4×C3⋊D3C2
hypercenterC22×D4D32
hypocenterC32C2×#450
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. C22×C3×#214C2semidirect
3. C2×#63871C2semidirect
4. C22×#3717C2semidirect
5. C2×C3×#832C2semidirect
6. #10591467C2direct (N × H)
7. C2×#63564C2semidirect
8. C2×#63557C2semidirect
20. C22×C3×Dic6C22semidirect
22. C2×C3×#214C22semidirect
23. C2×C3×C4⋊Dic3C22semidirect
24. C22×C3×C3⋊C8C22semidirect
25. C22×C3×C3⋊C8C22semidirect
29. #63871C22semidirect
31. C2×#3717C22semidirect
32. C3×#832C22semidirect
33. #63564C22semidirect
34. #63557C22semidirect
41. C22×#214D3semidirect
45. C2×#832D3semidirect
83. C2×C3×Dic6C23semidirect
86. C3×C4⋊Dic3C23semidirect
89. C2×C3×C3⋊C8C23semidirect
90. C2×C3×C3⋊C8C23semidirect
123. C22×Dic6C2×D3semidirect
134. C2×#214C2×D3semidirect
138. C2×C4⋊Dic3C2×D3semidirect
140. C22×C3⋊C8C2×D3semidirect
141. C22×C3⋊C8C2×D3semidirect
147. #832C2×D3semidirect
167. C22×C3⋊D3SD16semidirect
291. C2×Dic6C22×D3semidirect
305. C4⋊Dic3C22×D3semidirect
309. C2×C3⋊C8C22×D3semidirect
310. C2×C3⋊C8C22×D3semidirect
328. C2×C3⋊D3C2×SD16semidirect
477. C2×C32#450semidirect
592. C32C2×#450semidirect
642. C2×C3#4776semidirect
643. C2×C3#5169semidirect
680. C3C2×#4776semidirect
681. C3C2×#5169semidirect
685. C2#10591467direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D4×C3⋊D32
C22×C3×#2142
C2×#638712
C22×#37172
C2×C3×#8322
#105914672
C2×#635642
C2×#635572
C2×#51693
C2×#47763