Finite Group Databasebeta

← C2×#10594616 #11902474

Subgroups — C2×#10594616 #11902474

Order 1152.

4013 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3802C211yesmaximal, characteristic, complemented
2C22×#3798C211yesmaximal, characteristic, complemented
3C2×#64102C211yesmaximal, characteristic, complemented
4C2×C3×#894C212yesmaximal, complemented
5C2×#63923C212yesmaximal, complemented
6C2×D3×(C2×D3)⋊C4C212yesmaximal, complemented
7C2×#63915C211yesmaximal, characteristic, complemented
8C2×#63912C211yesmaximal, characteristic, complemented
9C2×#63902C211yesmaximal, characteristic, complemented
10C2×#63886C212yesmaximal, complemented
11C2×#63865C211yesmaximal, characteristic, complemented
12#10594616C2116yesmaximal, direct product factor
13C2×#5654—32nomaximal
14C23×D32C2212yes—
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic
17C22×C4×C3⋊D3C2211yescharacteristic, complemented
18C22×C3×D12C2212yes—
19C22×C3×C4×D3C2212yescomplemented
20C22×#627C2211yescharacteristic, complemented
21C22×#626C2212yescomplemented
22C22×#626C2212yescomplemented
23C22×#625C2211yescharacteristic
24C22×#625C2211yescharacteristic
25C22×D3×Dic3C2212yescomplemented
26C2×#3802—28no—
27C2×#3802C2218yescomplemented
28C2×#3798—28no—
29C2×#3798C2218yescomplemented
30C2×C32×C4⋊C4C2211yescharacteristic, complemented
31C2×#3752C2211yescharacteristic
32C2×#3752C2211yescharacteristic, complemented
33C2×C4×C3⋊Dic3C2211yescharacteristic, complemented
34#64102C2218yescomplemented
35C2×C3×(C2×D3)⋊C4C2212yescomplemented
36C2×C3×(C2×D3)⋊C4C2212yescomplemented
37C2×C3×(C2×D3)⋊C4C2212yescomplemented
38C2×C3×Dic3⋊C4C2212yescomplemented
39C3×#894C22116yescomplemented
40C2×#3724C2211yescharacteristic, complemented
41C2×#3722C2212yes—
42C2×(C2×D3)⋊Dic3C2212yescomplemented
43#63923C22116yescomplemented
44D3×(C2×D3)⋊C4C22116yescomplemented
45#63915C2218yescomplemented
46#63912C2218yescomplemented
47#63902C2218yescomplemented
48#63886C22116yescomplemented
49#63865C2218yescomplemented
50C22×D3×D4—32no—
51C22×#235—32no—
52C2×C3×#123—32no—
53C2×#939—32no—
54C22×(C2×D3)⋊C4—32no—
55#5654—332no—
56C2×#896—32no—
57C2×#895—32no—
58C2×#894D312yescomplemented
59C2×#893—32no—
60C2×#893—61no—
61C2×#885—32no—
62C2×#884—32no—
63C2×#882—32no—
64C2×#882—32no—
65C2×#67⋊C4—32no—
66C2×D3×C22⋊C4—32no—
67C23×C3⋊D3C2311yescharacteristic
68C23×C3⋊D3C2311yescharacteristic
69C23×C3×D3C2312yes—
70C23×C3×D3C2312yes—
71C22×D32—28no—
72C22×D32—28no—
73C22×D32—44no—
74C22×D32C2318yes—
75C22×C32×C4C2311yescharacteristic
76C22×C32×C4C2311yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C22×C3⋊Dic3C2311yescharacteristic
79C22×C3⋊Dic3C2311yescharacteristic
80C2×C4⋊(C3⋊D3)—24no—
81C2×C4⋊(C3⋊D3)C2314yes—
82C2×C4×C3⋊D3—24no—
83C2×C4×C3⋊D3—24no—
84C2×C4×C3⋊D3C2314yes—
85C2×C4×C3⋊D3C2314yescomplemented
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2312yes—
88C2×C3×D12—28no—
89C2×C3×D12C2318yes—
90C2×C3×C4×D3—28no—
91C2×C3×C4×D3C2318yescomplemented
92C2×#627—24no—
93C2×#627C2314yescomplemented
94C2×#626—28no—
95C2×#626—44no—
96C2×#626C2318yescomplemented
97C2×#626C2318yescomplemented
98C2×#625—24no—
99C2×#625D418yescomplemented
100C2×#625C2314yes—
101C2×#625C2314yes—
102C2×D3×Dic3—44no—
103C2×D3×Dic3C2318yescomplemented
104#3802—232no—
105#3798—232no—
106C32×C4⋊C4C2314yescomplemented
107#3752C2314yes—
108#3752C2314yescomplemented
109C4×C3⋊Dic3C2314yescomplemented
110C3×(C2×D3)⋊C4C2318yescomplemented
111C3×(C2×D3)⋊C4C2318yescomplemented
112C3×(C2×D3)⋊C4C2318yescomplemented
113C3×Dic3⋊C4C2318yescomplemented
114#3724C2314yescomplemented
115#3722C2318yes—
116(C2×D3)⋊Dic3C2318yescomplemented
117C2×#546—91noSylow
118C24×D3—32no—
119C24×D3—32no—
120C22×C3×D4—32no—
121C23×C3×C4—32no—
122C22×#67—32no—
123C22×#67—32no—
124C22×#67—32no—
125C22×#67—32no—
126C23×Dic3—32no—
127C2×D3×D4—316no—
128C2×D3×D4—616no—
129C2×#235—316no—
130C2×#235—616no—
131C22×D12—32no—
132C22×D12—32no—
133C22×D12—32no—
134C22×D12—61no—
135C22×D12C2×D312yes—
136C22×C4×D3—32no—
137C22×C4×D3—32no—
138C22×C4×D3—32no—
139C22×C4×D3—61no—
140C22×C4×D3—61no—
141C22×C4×D3C2×D312yescomplemented
142C22×Dic6—32no—
143C3×#123—316no—
144C2×C3×C4⋊C4—21no—
145C2×C3×C4⋊C4—32no—
146C2×C3×C4⋊C4C2×D312yescomplemented
147C2×C3×C22⋊C4—32no—
148C2×C3×C22⋊C4—32no—
149C2×C3×C22⋊C4—32no—
150C2×#217—32no—
151#939—316no—
152C2×(C2×D3)⋊C4—32no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—316no—
158C2×(C2×D3)⋊C4—61no—
159C2×(C2×D3)⋊C4—61no—
160C2×(C2×D3)⋊C4C2×D312yescomplemented
161C2×(C2×D3)⋊C4C2×D312yescomplemented
162C2×(C2×D3)⋊C4C2×D312yescomplemented
163C2×Dic3⋊C4—32no—
164C2×Dic3⋊C4C2×D312yescomplemented
165C2×C4×Dic3—32no—
166C2×C4×Dic3—61no—
167#896—316no—
168#895—316no—
169#894C2×D3116yescomplemented
170#893—316no—
171#893—68no—
172#885—316no—
173#884—316no—
174#882—316no—
175#882—316no—
176#67⋊C4—316no—
177D3×C22⋊C4—316no—
178C23×C32C2411yescharacteristic
179C22×C3⋊D3—22no—
180C22×C3⋊D3—22no—
181C22×C3⋊D3—22no—
182C22×C3⋊D3—22no—
183C22×C3⋊D3—22no—
184C22×C3⋊D3#4114yescomplemented
185C22×C3⋊D3C2412yes—
186C22×C3⋊D3C2412yes—
187C22×C3×D3—24no—
188C22×C3×D3—24no—
189C22×C3×D3—24no—
190C22×C3×D3—24no—
191C22×C3×D3—24no—
192C22×C3×D3C2×D418yes—
193C22×C3×D3C2414yes—
194C22×C3×D3C2414yes—
195C2×D32—216no—
196C2×D32—216no—
197C2×D32—48no—
198C2×D32—432no—
199C2×C32×C4—22no—
200C2×C32×C4—22no—
201C2×C32×C4—22no—
202C2×C32×C4C2412yes—
203C2×C32×C4C2412yes—
204C2×C32×C4C2412yes—
205C2×C3⋊Dic3—22no—
206C2×C3⋊Dic3C2×D414yes—
207C2×C3⋊Dic3C2412yes—
208C2×C3⋊Dic3C2412yes—
209C4⋊(C3⋊D3)—28no—
210C4×C3⋊D3—28no—
211C4×C3⋊D3—28no—
212C2×C3×Dic3—24no—
213C2×C3×Dic3—24no—
214C2×C3×Dic3C2414yes—
215C2×C3×Dic3C2414yes—
216C3×D12—216no—
217C3×C4×D3—216no—
218#627—28no—
219#626—216no—
220#626—48no—
221#625—28no—
222#625C2×D4116yescomplemented
223D3×Dic3—48no—
224C22×#41—91no—
225C23×D4—91no—
226#546—916no—
227C2×#124—91no—
228C2×#123—32no—
229C2×C22⋊Q8—91no—
230C2×#121—91no—
231C2×#121—92no—
232C2×#120—92no—
233C2×C4×D4—91no—
234C2×C4×D4—91no—
235C22×C22⋊C4—92no—
236C24×C3—32no—
237C24×C3—32no—
238C23×D3—32no—
239C23×D3—32no—
240C23×D3—38no—
241C23×D3—38no—
242C23×D3—61no—
243C23×D3—61no—
244C23×D3—68no—
245C23×D3—68no—
246C23×D3—68no—
247C23×D3—68no—
248C23×D3—124no—
249C23×D3—124no—
250C23×D3C22×D312yes—
251C23×D3C22×D312yes—
252C2×C3×D4—38no—
253C2×C3×D4—68no—
254C22×C3×C4—21no—
255C22×C3×C4—21no—
256C22×C3×C4—21no—
257C22×C3×C4—32no—
258C22×C3×C4—32no—
259C22×C3×C4—38no—
260C22×C3×C4—68no—
261C22×C3×C4C22×D312yes—
262C22×C3×C4C22×D312yes—
263C22×C3×C4C22×D312yes—
264C2×#67—316no—
265C2×#67—38no—
266C2×#67—38no—
267C2×#67—38no—
268C2×#67—38no—
269C2×#67—68no—
270C2×#67—68no—
271C2×#67—124no—
272C22×Dic3—32no—
273C22×Dic3—32no—
274C22×Dic3—38no—
275C22×Dic3—61no—
276C22×Dic3—61no—
277C22×Dic3—124no—
278C22×Dic3C22×D312yes—
279C22×Dic3C22×D312yes—
280D3×D4—664no—
281#235—664no—
282C2×D12—28no—
283C2×D12—38no—
284C2×D12—38no—
285C2×D12—38no—
286C2×D12—64no—
287C2×D12—68no—
288C2×D12—68no—
289C2×D12—68no—
290C2×D12—124no—
291C2×D12C22×D318yes—
292C2×C4×D3—28no—
293C2×C4×D3—38no—
294C2×C4×D3—38no—
295C2×C4×D3—38no—
296C2×C4×D3—64no—
297C2×C4×D3—64no—
298C2×C4×D3—68no—
299C2×C4×D3—68no—
300C2×C4×D3—124no—
301C2×C4×D3—124no—
302C2×C4×D3—124no—
303C2×C4×D3C22×D318yescomplemented
304C2×Dic6—38no—
305C2×Dic6—68no—
306C3×C4⋊C4—24no—
307C3×C4⋊C4—38no—
308C3×C4⋊C4C22×D318yescomplemented
309C3×C22⋊C4—38no—
310C3×C22⋊C4—38no—
311C3×C22⋊C4—38no—
312#217—38no—
313(C2×D3)⋊C4—38no—
314(C2×D3)⋊C4—38no—
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—38no—
318(C2×D3)⋊C4—64no—
319(C2×D3)⋊C4—64no—
320(C2×D3)⋊C4C22×D318yescomplemented
321(C2×D3)⋊C4C22×D318yescomplemented
322(C2×D3)⋊C4C22×D318yescomplemented
323Dic3⋊C4—38no—
324Dic3⋊C4C22×D318yescomplemented
325C4×Dic3—38no—
326C4×Dic3—64no—
327C22×C32C22×D412yes—
328C22×C32C2×#4112yes—
329C22×C32H(5,𝔽2)12yes—
330C22×C32C2511yescharacteristic
331C2×C3⋊D3—22no—
332C2×C3⋊D3—28no—
333C2×C3⋊D3—22no—
334C2×C3⋊D3—22no—
335C2×C3⋊D3—22no—
336C2×C3⋊D3—22no—
337C2×C3⋊D3—44no—
338C2×C3⋊D3C2×#4114yescomplemented
339C2×C3×D3—216no—
340C2×C3×D3—24no—
341C2×C3×D3—24no—
342C2×C3×D3—24no—
343C2×C3×D3—24no—
344C2×C3×D3—24no—
345C2×C3×D3—48no—
346C2×C3×D3C22×D418yes—
347D32—432no—
348C32×C4—22no—
349C32×C4—22no—
350C32×C4—22no—
351C3⋊Dic3—22no—
352C3⋊Dic3C22×D414yes—
353C3×Dic3—24no—
354C3×Dic3—24no—
355C25—92no—
356C2×#41—98no—
357C2×#41—188no—
358C22×Q8—91no—
359C22×D4—32no—
360C22×D4—92no—
361C22×D4—92no—
362C22×D4—98no—
363C22×D4—91no—
364C22×D4—91no—
365C22×D4—91no—
366C22×D4—188no—
367C23×C4—32no—
368C23×C4—92no—
369C23×C4—91no—
370C23×C4—91no—
371#124—98no—
372#123—316no—
373C22⋊Q8—98no—
374#121—98no—
375#121—916no—
376#120—916no—
377C4×D4—98no—
378C4×D4—98no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4—91no—
381C2×C4⋊C4D3211yescharacteristic, complemented
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—32no—
385C2×C22⋊C4—916no—
386C2×C22⋊C4—92no—
387C2×C22⋊C4—92no—
388C2×C22⋊C4—91no—
389C2×C22⋊C4—91no—
390C2×C42—91no—
391C23×C3—21no—
392C23×C3—38no—
393C23×C3—34no—
394C23×C3—34no—
395C23×C3—64no—
396C23×C3—64no—
397C23×C3—64no—
398C23×C3—64no—
399C23×C3—64no—
400C23×C3C23×D312yes—
401C22×D3—24no—
402C22×D3—24no—
403C22×D3—24no—
404C22×D3—24no—
405C22×D3—24no—
406C22×D3—38no—
407C22×D3—34no—
408C22×D3—34no—
409C22×D3—64no—
410C22×D3—62no—
411C22×D3—62no—
412C22×D3—616no—
413C22×D3—616no—
414C22×D3—616no—
415C22×D3—64no—
416C22×D3—64no—
417C22×D3—64no—
418C22×D3—64no—
419C22×D3—64no—
420C22×D3—64no—
421C22×D3—616no—
422C22×D3—122no—
423C22×D3—122no—
424C22×D3—122no—
425C22×D3—122no—
426C22×D3—128no—
427C22×D3—128no—
428C22×D3—1232no—
429C22×D3—1232no—
430C22×D3D3×D418yes—
431C22×D3C23×D314yes—
432C22×D3C23×D314yes—
433C3×D4—616no—
434C2×C3×C4—24no—
435C2×C3×C4—24no—
436C2×C3×C4—24no—
437C2×C3×C4—24no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—34no—
442C2×C3×C4—34no—
443C2×C3×C4—42no—
444C2×C3×C4—42no—
445C2×C3×C4—616no—
446C2×C3×C4—64no—
447C2×C3×C4—64no—
448C2×C3×C4C23×D314yes—
449C2×C3×C4C23×D314yes—
450C2×C3×C4C23×D314yes—
451#67—332no—
452#67—616no—
453#67—616no—
454#67—128no—
455C2×Dic3—24no—
456C2×Dic3—24no—
457C2×Dic3—38no—
458C2×Dic3—34no—
459C2×Dic3—34no—
460C2×Dic3—64no—
461C2×Dic3—62no—
462C2×Dic3—62no—
463C2×Dic3—64no—
464C2×Dic3—122no—
465C2×Dic3—128no—
466C2×Dic3C23×D314yes—
467C2×Dic3C23×D314yes—
468D12—216no—
469D12—616no—
470D12—616no—
471D12—616no—
472D12—128no—
473C4×D3—216no—
474C4×D3—616no—
475C4×D3—616no—
476C4×D3—128no—
477C4×D3—128no—
478C4×D3—128no—
479Dic6—616no—
480C2×C32#54614yescomplemented
481C2×C32C23×D411yescharacteristic
482C2×C32C22×#4111yescharacteristic
483C2×C32C2×H(5,𝔽2)11yescharacteristic
484C3⋊D3—24no—
485C3⋊D3—42no—
486C3×D3—28no—
487C3×D3—44no—
488C24—32no—
489C24—32no—
490C24—98no—
491C24—91no—
492C24—91no—
493C24—188no—
494C24—188no—
495C24—364no—
496#41—1832no—
497C2×Q8—94no—
498C2×Q8—184no—
499C2×D4—38no—
500C2×D4—68no—
501C2×D4—98no—
502C2×D4—98no—
503C2×D4—94no—
504C2×D4—98no—
505C2×D4—94no—
506C2×D4—94no—
507C2×D4—184no—
508C2×D4—188no—
509C2×D4—184no—
510C2×D4—1832no—
511C2×D4—364no—
512C22×C4—32no—
513C22×C4—32no—
514C22×C4—38no—
515C22×C4—68no—
516C22×C4—98no—
517C22×C4—91no—
518C22×C4—91no—
519C22×C4—94no—
520C22×C4—94no—
521C22×C4—184no—
522C22×C4—184no—
523C22×C4—364no—
524C22×C4C2×D3211yescharacteristic
525C22×C4C2×D3211yescharacteristic
526C22×C4C2×D3211yescharacteristic
527C4⋊C4—38no—
528C4⋊C4—94no—
529C4⋊C4C2×D3214yescomplemented
530C22⋊C4—38no—
531C22⋊C4—38no—
532C22⋊C4—38no—
533C22⋊C4—98no—
534C22⋊C4—98no—
535C22⋊C4—94no—
536C22⋊C4—94no—
537C42—94no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—22no—
541C22×C3—21no—
542C22×C3—38no—
543C22×C3—616no—
544C22×C3—64no—
545C22×C3—64no—
546C22×C3—64no—
547C22×C3—64no—
548C22×C3—64no—
549C22×C3—128no—
550C22×C3C2×D3×D414yes—
551C22×C3D3×#4114yes—
552C22×C3#100914yes—
553C22×C3C24×D312yes—
554C2×D3—216no—
555C2×D3—24no—
556C2×D3—24no—
557C2×D3—24no—
558C2×D3—24no—
559C2×D3—24no—
560C2×D3—38no—
561C2×D3—48no—
562C2×D3—64no—
563C2×D3—616no—
564C2×D3—64no—
565C2×D3—64no—
566C2×D3—64no—
567C2×D3—64no—
568C2×D3—64no—
569C2×D3—64no—
570C2×D3—122no—
571C2×D3—122no—
572C2×D3—128no—
573C2×D3—122no—
574C2×D3—122no—
575C2×D3—1232no—
576C2×D3—1232no—
577C2×D3—128no—
578C2×D3—128no—
579C2×D3C2×D3×D418yes—
580C3×C4—24no—
581C3×C4—24no—
582C3×C4—24no—
583C3×C4—24no—
584C3×C4—42no—
585C3×C4—42no—
586C3×C4—64no—
587C3×C4—64no—
588Dic3—24no—
589Dic3—24no—
590Dic3—38no—
591Dic3—64no—
592Dic3—64no—
593Dic3—122no—
594C32C2×#54611yescharacteristic, complemented, Sylow
595C23—38no—
596C23—34no—
597C23—34no—
598C23—64no—
599C23—64no—
600C23—64no—
601C23—64no—
602C23—64no—
603C23—94no—
604C23—92no—
605C23—92no—
606C23—1816no—
607C23—1816no—
608C23—182no—
609C23—182no—
610C23—182no—
611C23—182no—
612C23—182no—
613C23—368no—
614C23—3632no—
615C23C22×D3211yescharacteristic
616Q8—188no—
617D4—616no—
618D4—916no—
619D4—188no—
620D4—1816no—
621D4—188no—
622D4—368no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—34no—
627C2×C4—34no—
628C2×C4—616no—
629C2×C4—64no—
630C2×C4—64no—
631C2×C4—94no—
632C2×C4—92no—
633C2×C4—92no—
634C2×C4—188no—
635C2×C4—188no—
636C2×C4—182no—
637C2×C4—368no—
638C2×C4C22×D3212yes—
639C2×C4C22×D3212yes—
640C2×C4C22×D3212yes—
641C2×C3—24no—
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—21no—
645C2×C3—68no—
646C2×C3—124no—
647C2×C3#565418yescomplemented
648C2×C3C22×D3×D412yes—
649C2×C3C2×D3×#4112yes—
650C2×C3C2×#100912yes—
651D3—28no—
652D3—44no—
653D3—68no—
654D3—124no—
655D3—124no—
656D3—124no—
657C22—38no—
658C22—616no—
659C22—64no—
660C22—64no—
661C22—64no—
662C22—64no—
663C22—64no—
664C22—94no—
665C22—128no—
666C22—188no—
667C22—182no—
668C22—182no—
669C22—182no—
670C22—182no—
671C22—182no—
672C22—3632no—
673C22—364no—
674C22#6430612yes—
675C22D32×D412yes—
676C22#6432012yes—
677C22C23×D3211yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—64no—
682C4—64no—
683C4—94no—
684C4—182no—
685C3—21no—
686C3C2×#565412yescomplemented
687C2—68no—
688C2—124no—
689C2—184no—
690C2—362no—
691C2#1059461614yesdirect product factor
692C2C2×#6430611yescharacteristic
693C2C2×D32×D411yescharacteristic
694C2C2×#6432011yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#546
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×#3802C2semidirect
2. C22×#3798C2semidirect
3. C2×#64102C2semidirect
4. C2×C3×#894C2semidirect
5. C2×#63923C2semidirect
6. C2×D3×(C2×D3)⋊C4C2semidirect
7. C2×#63915C2semidirect
8. C2×#63912C2semidirect
9. C2×#63902C2semidirect
10. C2×#63886C2semidirect
11. C2×#63865C2semidirect
12. #10594616C2direct (N × H)
17. C22×C4×C3⋊D3C22semidirect
19. C22×C3×C4×D3C22semidirect
20. C22×#627C22semidirect
21. C22×#626C22semidirect
22. C22×#626C22semidirect
25. C22×D3×Dic3C22semidirect
27. C2×#3802C22semidirect
29. C2×#3798C22semidirect
30. C2×C32×C4⋊C4C22semidirect
32. C2×#3752C22semidirect
33. C2×C4×C3⋊Dic3C22semidirect
34. #64102C22semidirect
35. C2×C3×(C2×D3)⋊C4C22semidirect
36. C2×C3×(C2×D3)⋊C4C22semidirect
37. C2×C3×(C2×D3)⋊C4C22semidirect
38. C2×C3×Dic3⋊C4C22semidirect
39. C3×#894C22semidirect
40. C2×#3724C22semidirect
42. C2×(C2×D3)⋊Dic3C22semidirect
43. #63923C22semidirect
44. D3×(C2×D3)⋊C4C22semidirect
45. #63915C22semidirect
46. #63912C22semidirect
47. #63902C22semidirect
48. #63886C22semidirect
49. #63865C22semidirect
58. C2×#894D3semidirect
85. C2×C4×C3⋊D3C23semidirect
91. C2×C3×C4×D3C23semidirect
93. C2×#627C23semidirect
96. C2×#626C23semidirect
97. C2×#626C23semidirect
99. C2×#625D4semidirect
103. C2×D3×Dic3C23semidirect
106. C32×C4⋊C4C23semidirect
108. #3752C23semidirect
109. C4×C3⋊Dic3C23semidirect
110. C3×(C2×D3)⋊C4C23semidirect
111. C3×(C2×D3)⋊C4C23semidirect
112. C3×(C2×D3)⋊C4C23semidirect
113. C3×Dic3⋊C4C23semidirect
114. #3724C23semidirect
116. (C2×D3)⋊Dic3C23semidirect
141. C22×C4×D3C2×D3semidirect
146. C2×C3×C4⋊C4C2×D3semidirect
160. C2×(C2×D3)⋊C4C2×D3semidirect
161. C2×(C2×D3)⋊C4C2×D3semidirect
162. C2×(C2×D3)⋊C4C2×D3semidirect
164. C2×Dic3⋊C4C2×D3semidirect
169. #894C2×D3semidirect
184. C22×C3⋊D3#41semidirect
222. #625C2×D4semidirect
303. C2×C4×D3C22×D3semidirect
308. C3×C4⋊C4C22×D3semidirect
320. (C2×D3)⋊C4C22×D3semidirect
321. (C2×D3)⋊C4C22×D3semidirect
322. (C2×D3)⋊C4C22×D3semidirect
324. Dic3⋊C4C22×D3semidirect
338. C2×C3⋊D3C2×#41semidirect
381. C2×C4⋊C4D32semidirect
480. C2×C32#546semidirect
529. C4⋊C4C2×D32semidirect
594. C32C2×#546semidirect
647. C2×C3#5654semidirect
686. C3C2×#5654semidirect
691. C2#10594616direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#38022
C22×#37982
C2×#641022
C2×C3×#8942
C2×#639232
C2×D3×(C2×D3)⋊C42
C2×#639152
C2×#639122
C2×#639022
C2×#638862
C2×#638652
#105946162
C2×#56543