Finite Group Databasebeta

← C2×#10595016 #11900459

Subgroups — C2×#10595016 #11900459

Order 1152.

4441 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C4×C3⋊D3C211yesmaximal, characteristic, complemented
2C22×#3798C211yesmaximal, characteristic, complemented
3C2×C3×C4×#67C212yesmaximal, complemented
4C2×#63982C211yesmaximal, characteristic, complemented
5C2×#63981C212yesmaximal, complemented
6C2×#63980C211yesmaximal, characteristic, complemented
7#10595016C2116yesmaximal, direct product factor
8C2×#63912C211yesmaximal, characteristic, complemented
9C2×C4×#626C212yesmaximal, complemented
10C2×#63874C211yesmaximal, characteristic, complemented
11C2×#63865C211yesmaximal, characteristic, complemented
12C2×#63853C212yesmaximal, complemented
13C2×#5547—32nomaximal
14C24×C3⋊D3C2211yescharacteristic
15C23×C32×C4C2211yescharacteristic
16C23×C3⋊Dic3C2211yescharacteristic
17C22×C4×C3⋊D3—28no—
18C22×C4×C3⋊D3C2211yescharacteristic
19C22×C4×C3⋊D3C2211yescharacteristic
20C22×C4×C3⋊D3C2211yescharacteristic
21C22×C4×C3⋊D3C2211yescharacteristic
22C22×C4×C3⋊D3C2218yescomplemented
23C22×C3×#67C2212yes—
24C22×C3×C4×D3C2212yescomplemented
25C22×#627C2211yescharacteristic, complemented
26C22×#626C2212yes—
27C22×#626C2212yes—
28C22×#625C2211yescharacteristic, complemented
29C2×#3798—28no—
30C2×#3798C2218yescomplemented
31C2×C3×#217C2212yes—
32C3×C4×#67C22116yescomplemented
33C2×C3×(C2×D3)⋊C4C2212yescomplemented
34C2×C3×Dic3⋊C4C2212yescomplemented
35C2×C3×C4×Dic3C2212yescomplemented
36#63982C2218yescomplemented
37#63981C22116yescomplemented
38#63980C2218yescomplemented
39C2×#3724C2211yescharacteristic, complemented
40C2×#3724C2211yescharacteristic, complemented
41C2×Dic3⋊Dic3C2212yescomplemented
42C2×#3722C2212yes—
43C2×#3722C2212yes—
44C2×(C2×D3)⋊Dic3C2212yescomplemented
45#63912C2218yescomplemented
46C4×#626C22116yescomplemented
47#63874C2218yescomplemented
48#63865C2218yescomplemented
49#63853C22116yescomplemented
50C22×#235—32no—
51C23×C4×D3—32no—
52C23×C4×D3—61no—
53C2×C3×C4×D4—32no—
54C2×#939—32no—
55C2×#937—32no—
56C2×C4×#67—32no—
57C2×C4×#67D312yescomplemented
58#5547—332no—
59C2×#896—32no—
60C2×#894—32no—
61C2×#884—32no—
62C2×#883—32no—
63C2×#882—32no—
64C2×#878—32no—
65C2×C4×D12—32no—
66C2×#872—32no—
67C24×C32C2311yescharacteristic
68C23×C3⋊D3—24no—
69C23×C3⋊D3—24no—
70C23×C3⋊D3—24no—
71C23×C3⋊D3C2314yes—
72C23×C3⋊D3C2311yescharacteristic
73C23×C3⋊D3C2311yescharacteristic
74C23×C3×D3C2312yes—
75C22×C32×C4—24no—
76C22×C32×C4C2311yescharacteristic
77C22×C32×C4C2314yes—
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3—24no—
80C22×C3⋊Dic3C2311yescharacteristic
81C22×C3⋊Dic3C2314yes—
82C22×C3⋊Dic3C2311yescharacteristic
83C2×C4×C3⋊D3—24no—
84C2×C4×C3⋊D3—24no—
85C2×C4×C3⋊D3—24no—
86C2×C4×C3⋊D3—232no—
87C2×C4×C3⋊D3D418yescomplemented
88C2×C4×C3⋊D3C2314yes—
89C2×C4×C3⋊D3C2314yes—
90C2×C4×C3⋊D3C2314yes—
91C2×C4×C3⋊D3C2314yes—
92C2×C3×#67—28no—
93C2×C3×#67C2318yes—
94C22×C3×Dic3C2312yes—
95C22×C3×Dic3C2312yes—
96C22×C3×Dic3C2312yes—
97C2×C3×C4×D3—28no—
98C2×C3×C4×D3C2318yescomplemented
99C2×#627—24no—
100C2×#627C2314yescomplemented
101C2×#626—28no—
102C2×#626—28no—
103C2×#626C2318yes—
104C2×#626C2318yes—
105C2×#625—24no—
106C2×#625C2314yescomplemented
107#3798—232no—
108C3×#217C2318yes—
109C3×(C2×D3)⋊C4C2318yescomplemented
110C3×Dic3⋊C4C2318yescomplemented
111C3×C4×Dic3C2318yescomplemented
112#3724C2314yescomplemented
113#3724C2314yescomplemented
114Dic3⋊Dic3C2318yescomplemented
115#3722C2318yes—
116#3722C2318yes—
117(C2×D3)⋊Dic3C2318yescomplemented
118C2×#525—91noSylow
119C24×D3—32no—
120C24×D3—61no—
121C22×C3×D4—32no—
122C23×C3×C4—21no—
123C23×C3×C4—32no—
124C23×C3×C4C2×D312yes—
125C22×#67—32no—
126C22×#67—32no—
127C22×#67—32no—
128C22×#67C2×D312yes—
129C23×Dic3—32no—
130C23×Dic3—61no—
131C2×#235—316no—
132C2×#235—616no—
133C22×D12—32no—
134C22×D12—32no—
135C22×C4×D3—32no—
136C22×C4×D3—32no—
137C22×C4×D3—32no—
138C22×C4×D3—32no—
139C22×C4×D3—316no—
140C22×C4×D3—61no—
141C22×C4×D3—61no—
142C22×C4×D3—61no—
143C22×C4×D3—61no—
144C22×C4×D3—68no—
145C22×C4×D3—616no—
146C22×C4×D3—616no—
147C22×C4×D3C2×D312yescomplemented
148C22×Dic6—32no—
149C3×C4×D4—316no—
150C2×C3×C4⋊C4—32no—
151C2×C3×C22⋊C4—32no—
152C2×C3×C22⋊C4—32no—
153C2×C3×C42—32no—
154C2×#217—32no—
155C2×#217C2×D312yes—
156#939—316no—
157#937—316no—
158C4×#67—316no—
159C4×#67C2×D3116yescomplemented
160C2×(C2×D3)⋊C4—32no—
161C2×(C2×D3)⋊C4—32no—
162C2×(C2×D3)⋊C4—32no—
163C2×(C2×D3)⋊C4—32no—
164C2×(C2×D3)⋊C4—32no—
165C2×(C2×D3)⋊C4C2×D312yescomplemented
166C2×C4⋊Dic3—32no—
167C2×Dic3⋊C4—32no—
168C2×Dic3⋊C4—32no—
169C2×Dic3⋊C4—32no—
170C2×Dic3⋊C4C2×D312yescomplemented
171C2×C4×Dic3C2×D312yescomplemented
172#896—316no—
173#894—316no—
174#884—316no—
175#883—316no—
176#882—316no—
177#878—316no—
178C4×D12—316no—
179#872—316no—
180C23×C32—22no—
181C23×C32—22no—
182C23×C32#4114yescomplemented
183C23×C32C2412yes—
184C23×C32C2411yescharacteristic
185C22×C3⋊D3—232no—
186C22×C3⋊D3—22no—
187C22×C3⋊D3—22no—
188C22×C3⋊D3—22no—
189C22×C3⋊D3—22no—
190C22×C3⋊D3—28no—
191C22×C3⋊D3—28no—
192C22×C3⋊D3—28no—
193C22×C3⋊D3C2×D414yes—
194C22×C3⋊D3#4114yescomplemented
195C22×C3⋊D3C2412yes—
196C22×C3⋊D3C2412yes—
197C22×C3×D3—24no—
198C22×C3×D3—24no—
199C22×C3×D3—24no—
200C22×C3×D3C2414yes—
201C2×C32×C4—22no—
202C2×C32×C4—28no—
203C2×C32×C4C2×D414yes—
204C2×C32×C4C2412yes—
205C2×C32×C4C2412yes—
206C2×C3⋊Dic3—22no—
207C2×C3⋊Dic3—28no—
208C2×C3⋊Dic3C2×D414yes—
209C2×C3⋊Dic3C2412yes—
210C2×C3⋊Dic3C2412yes—
211C4×C3⋊D3—28no—
212C4×C3⋊D3—28no—
213C4×C3⋊D3—28no—
214C4×C3⋊D3C2×D4116yescomplemented
215C3×#67—216no—
216C2×C3×Dic3—24no—
217C2×C3×Dic3—24no—
218C2×C3×Dic3—24no—
219C2×C3×Dic3C2414yes—
220C2×C3×Dic3C2414yes—
221C2×C3×Dic3C2414yes—
222C3×C4×D3—216no—
223#627—28no—
224#626—216no—
225#626—216no—
226#625—28no—
227C22×#41—91no—
228C24×C4—91no—
229#525—916no—
230C2×#123—92no—
231C2×C22⋊Q8—91no—
232C2×C22⋊Q8—91no—
233C2×#121—91no—
234C2×#121—91no—
235C2×#120—92no—
236C2×C4×D4—32no—
237C2×C4×D4—92no—
238C2×#117—91no—
239C24×C3—21no—
240C24×C3—32no—
241C24×C3C22×D312yes—
242C23×D3—32no—
243C23×D3—32no—
244C23×D3—38no—
245C23×D3—61no—
246C23×D3—61no—
247C23×D3—64no—
248C23×D3—68no—
249C23×D3—68no—
250C23×D3—68no—
251C23×D3—68no—
252C23×D3—68no—
253C23×D3—68no—
254C23×D3C22×D312yes—
255C2×C3×D4—38no—
256C2×C3×D4—68no—
257C22×C3×C4—28no—
258C22×C3×C4—28no—
259C22×C3×C4—21no—
260C22×C3×C4—24no—
261C22×C3×C4—21no—
262C22×C3×C4—32no—
263C22×C3×C4—32no—
264C22×C3×C4—32no—
265C22×C3×C4—38no—
266C22×C3×C4—68no—
267C22×C3×C4C22×D312yes—
268C22×C3×C4C22×D318yes—
269C22×C3×C4C22×D312yes—
270C2×#67—28no—
271C2×#67—38no—
272C2×#67—38no—
273C2×#67—38no—
274C2×#67—68no—
275C2×#67—68no—
276C2×#67—68no—
277C2×#67C22×D318yes—
278C22×Dic3—32no—
279C22×Dic3—38no—
280C22×Dic3—32no—
281C22×Dic3—61no—
282C22×Dic3—61no—
283C22×Dic3—64no—
284C22×Dic3—68no—
285C22×Dic3—68no—
286C22×Dic3C22×D312yes—
287C22×Dic3C22×D312yes—
288C22×Dic3C22×D312yes—
289#235—664no—
290C2×D12—38no—
291C2×D12—38no—
292C2×D12—68no—
293C2×D12—68no—
294C2×C4×D3—28no—
295C2×C4×D3—316no—
296C2×C4×D3—38no—
297C2×C4×D3—38no—
298C2×C4×D3—38no—
299C2×C4×D3—38no—
300C2×C4×D3—68no—
301C2×C4×D3—64no—
302C2×C4×D3—64no—
303C2×C4×D3—64no—
304C2×C4×D3—64no—
305C2×C4×D3—664no—
306C2×C4×D3—68no—
307C2×C4×D3—68no—
308C2×C4×D3—664no—
309C2×C4×D3—68no—
310C2×C4×D3—68no—
311C2×C4×D3—68no—
312C2×C4×D3—68no—
313C2×C4×D3C22×D318yescomplemented
314C2×Dic6—38no—
315C2×Dic6—68no—
316C3×C4⋊C4—38no—
317C3×C22⋊C4—38no—
318C3×C22⋊C4—38no—
319C3×C42—38no—
320#217—38no—
321#217C22×D318yes—
322(C2×D3)⋊C4—38no—
323(C2×D3)⋊C4—38no—
324(C2×D3)⋊C4—38no—
325(C2×D3)⋊C4—38no—
326(C2×D3)⋊C4—38no—
327(C2×D3)⋊C4C22×D318yescomplemented
328C4⋊Dic3—38no—
329Dic3⋊C4—38no—
330Dic3⋊C4—38no—
331Dic3⋊C4—38no—
332Dic3⋊C4C22×D318yescomplemented
333C4×Dic3C22×D318yescomplemented
334C22×C32—28no—
335C22×C32—22no—
336C22×C32—22no—
337C22×C32C22×D412yes—
338C22×C32C2×#4112yes—
339C22×C32C2×#4112yes—
340C22×C32C2×#4114yescomplemented
341C22×C32C2511yescharacteristic
342C2×C3⋊D3—232no—
343C2×C3⋊D3—28no—
344C2×C3⋊D3—28no—
345C2×C3⋊D3—22no—
346C2×C3⋊D3—22no—
347C2×C3⋊D3—22no—
348C2×C3⋊D3—22no—
349C2×C3⋊D3C22×D414yes—
350C2×C3⋊D3C2×#4114yescomplemented
351C2×C3×D3—24no—
352C2×C3×D3—24no—
353C2×C3×D3—24no—
354C2×C3×D3—48no—
355C32×C4—22no—
356C32×C4C22×D414yes—
357C3⋊Dic3—22no—
358C3⋊Dic3C22×D414yes—
359C3×Dic3—24no—
360C3×Dic3—24no—
361C3×Dic3—24no—
362C25—91no—
363C2×#41—98no—
364C2×#41—188no—
365C22×Q8—91no—
366C22×D4—32no—
367C22×D4—92no—
368C22×D4—92no—
369C22×D4—91no—
370C23×C4—32no—
371C23×C4—91no—
372C23×C4—91no—
373C23×C4—91no—
374C23×C4—91no—
375C23×C4—98no—
376C23×C4—91no—
377C23×C4—188no—
378C23×C4D3211yescharacteristic
379#123—916no—
380C22⋊Q8—98no—
381C22⋊Q8—98no—
382#121—98no—
383#121—98no—
384#120—916no—
385C4×D4—316no—
386C4×D4—916no—
387#117—98no—
388C2×C4⋊C4—32no—
389C2×C4⋊C4—91no—
390C2×C4⋊C4—91no—
391C2×C4⋊C4—92no—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—92no—
396C2×C22⋊C4—92no—
397C2×C42—32no—
398C23×C3—24no—
399C23×C3—24no—
400C23×C3—24no—
401C23×C3—24no—
402C23×C3—22no—
403C23×C3—21no—
404C23×C3—24no—
405C23×C3—34no—
406C23×C3—64no—
407C23×C3—64no—
408C23×C3—64no—
409C23×C3#23518yescomplemented
410C23×C3C23×D314yes—
411C23×C3C23×D312yes—
412C22×D3—24no—
413C22×D3—24no—
414C22×D3—24no—
415C22×D3—38no—
416C22×D3—38no—
417C22×D3—34no—
418C22×D3—34no—
419C22×D3—64no—
420C22×D3—64no—
421C22×D3—62no—
422C22×D3—62no—
423C22×D3—616no—
424C22×D3—616no—
425C22×D3—616no—
426C22×D3—64no—
427C22×D3—616no—
428C22×D3—664no—
429C22×D3—664no—
430C22×D3—64no—
431C22×D3—64no—
432C22×D3—616no—
433C22×D3—64no—
434C22×D3—64no—
435C22×D3—64no—
436C22×D3—616no—
437C22×D3—64no—
438C22×D3—64no—
439C22×D3C23×D314yes—
440C3×D4—616no—
441C2×C3×C4—24no—
442C2×C3×C4—216no—
443C2×C3×C4—24no—
444C2×C3×C4—216no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—24no—
448C2×C3×C4—34no—
449C2×C3×C4—34no—
450C2×C3×C4—34no—
451C2×C3×C4—64no—
452C2×C3×C4—64no—
453C2×C3×C4—64no—
454C2×C3×C4—616no—
455C2×C3×C4D3×D418yes—
456C2×C3×C4C23×D314yes—
457C2×C3×C4C23×D314yes—
458#67—216no—
459#67—616no—
460#67—616no—
461#67—616no—
462C2×Dic3—24no—
463C2×Dic3—24no—
464C2×Dic3—24no—
465C2×Dic3—38no—
466C2×Dic3—34no—
467C2×Dic3—34no—
468C2×Dic3—64no—
469C2×Dic3—62no—
470C2×Dic3—62no—
471C2×Dic3—616no—
472C2×Dic3—616no—
473C2×Dic3—64no—
474C2×Dic3—64no—
475C2×Dic3C23×D314yes—
476C2×Dic3C23×D314yes—
477C2×Dic3C23×D314yes—
478D12—616no—
479D12—616no—
480C4×D3—216no—
481C4×D3—332no—
482C4×D3—616no—
483C4×D3—616no—
484C4×D3—616no—
485C4×D3—616no—
486C4×D3—616no—
487C4×D3—616no—
488C4×D3—616no—
489Dic6—616no—
490C2×C32—24no—
491C2×C32#52514yescomplemented
492C2×C32C23×D411yescharacteristic
493C2×C32C22×#4111yescharacteristic
494C2×C32C22×#4111yescharacteristic
495C3⋊D3—24no—
496C3⋊D3—24no—
497C3×D3—44no—
498C24—32no—
499C24—91no—
500C24—91no—
501C24—94no—
502C24—184no—
503C24—184no—
504C24—184no—
505C24C2×D3211yescharacteristic
506#41—1832no—
507C2×Q8—94no—
508C2×Q8—184no—
509C2×D4—38no—
510C2×D4—68no—
511C2×D4—98no—
512C2×D4—98no—
513C2×D4—94no—
514C2×D4—188no—
515C2×D4—188no—
516C2×D4—184no—
517C22×C4—24no—
518C22×C4—32no—
519C22×C4—32no—
520C22×C4—32no—
521C22×C4—38no—
522C22×C4—68no—
523C22×C4—91no—
524C22×C4—94no—
525C22×C4—98no—
526C22×C4—91no—
527C22×C4—94no—
528C22×C4—94no—
529C22×C4—94no—
530C22×C4—94no—
531C22×C4—184no—
532C22×C4—1832no—
533C22×C4—184no—
534C22×C4—184no—
535C22×C4—184no—
536C22×C4C2×D3211yescharacteristic
537C22×C4C2×D3214yes—
538C22×C4C2×D3211yescharacteristic
539C4⋊C4—38no—
540C4⋊C4—94no—
541C4⋊C4—94no—
542C4⋊C4—98no—
543C22⋊C4—38no—
544C22⋊C4—38no—
545C22⋊C4—98no—
546C22⋊C4—98no—
547C22⋊C4—98no—
548C42—38no—
549C22×C3—24no—
550C22×C3—24no—
551C22×C3—216no—
552C22×C3—24no—
553C22×C3—24no—
554C22×C3—216no—
555C22×C3—22no—
556C22×C3—24no—
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—21no—
560C22×C3—64no—
561C22×C3—64no—
562C22×C3—64no—
563C22×C3—128no—
564C22×C3C2×#23514yes—
565C22×C3C2×#23518yescomplemented
566C22×C3C2×D3×D414yes—
567C22×C3D3×#4114yes—
568C22×C3C24×D312yes—
569C2×D3—24no—
570C2×D3—24no—
571C2×D3—24no—
572C2×D3—38no—
573C2×D3—38no—
574C2×D3—48no—
575C2×D3—64no—
576C2×D3—64no—
577C2×D3—64no—
578C2×D3—664no—
579C2×D3—664no—
580C2×D3—64no—
581C2×D3—64no—
582C2×D3—64no—
583C2×D3—616no—
584C2×D3—616no—
585C2×D3—64no—
586C2×D3—64no—
587C2×D3—64no—
588C2×D3—64no—
589C2×D3—616no—
590C2×D3—616no—
591C3×C4—24no—
592C3×C4—24no—
593C3×C4—24no—
594C3×C4—64no—
595C3×C4—64no—
596C3×C4—64no—
597C3×C4C2×D3×D418yes—
598Dic3—24no—
599Dic3—24no—
600Dic3—24no—
601Dic3—38no—
602Dic3—64no—
603Dic3—64no—
604Dic3—64no—
605C32C2×#52511yescharacteristic, complemented, Sylow
606C23—22no—
607C23—22no—
608C23—34no—
609C23—64no—
610C23—64no—
611C23—64no—
612C23—94no—
613C23—94no—
614C23—92no—
615C23—92no—
616C23—188no—
617C23—188no—
618C23—1832no—
619C23—182no—
620C23—182no—
621C23—188no—
622C23—182no—
623C23—182no—
624C23#379814yescomplemented
625C23C22×D3212yes—
626C23C22×D3211yescharacteristic
627Q8—188no—
628D4—616no—
629D4—1816no—
630D4—1816no—
631D4—188no—
632C2×C4—22no—
633C2×C4—28no—
634C2×C4—34no—
635C2×C4—34no—
636C2×C4—34no—
637C2×C4—64no—
638C2×C4—64no—
639C2×C4—64no—
640C2×C4—616no—
641C2×C4—94no—
642C2×C4—92no—
643C2×C4—916no—
644C2×C4—92no—
645C2×C4—188no—
646C2×C4—188no—
647C2×C4—188no—
648C2×C4—182no—
649C2×C4—188no—
650C2×C4#381114yes—
651C2×C4C22×D3212yes—
652C2×C4C22×D3212yes—
653C2×C3—28no—
654C2×C3—28no—
655C2×C3—21no—
656C2×C3—21no—
657C2×C3—21no—
658C2×C3—24no—
659C2×C3—124no—
660C2×C3#554718yescomplemented
661C2×C3C22×#23512yes—
662C2×C3C22×D3×D412yes—
663C2×C3C2×D3×#4112yes—
664D3—44no—
665D3—68no—
666D3—68no—
667D3—68no—
668D3—68no—
669C22—22no—
670C22—22no—
671C22—28no—
672C22—64no—
673C22—64no—
674C22—64no—
675C22—94no—
676C22—94no—
677C22—128no—
678C22—1832no—
679C22—182no—
680C22—182no—
681C22—182no—
682C22—182no—
683C22—188no—
684C22—188no—
685C22C2×#379812yes—
686C22C2×#379814yescomplemented
687C22#6430612yes—
688C22C2×#381112yes—
689C22C23×D3211yescharacteristic
690C4—22no—
691C4—64no—
692C4—64no—
693C4—64no—
694C4—94no—
695C4—182no—
696C4C2×#381114yes—
697C3—21no—
698C3C2×#554712yescomplemented
699C2—24no—
700C2—124no—
701C2—184no—
702C2—184no—
703C2#1059501614yesdirect product factor
704C2C22×#379811yescharacteristic
705C2C2×#6430611yescharacteristic
706C2C22×#381111yescharacteristic
subgroupG/H
centerC22×C4C2×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#525
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C23×C4×C3⋊D3C2semidirect
2. C22×#3798C2semidirect
3. C2×C3×C4×#67C2semidirect
4. C2×#63982C2semidirect
5. C2×#63981C2semidirect
6. C2×#63980C2semidirect
7. #10595016C2direct (N × H)
8. C2×#63912C2semidirect
9. C2×C4×#626C2semidirect
10. C2×#63874C2semidirect
11. C2×#63865C2semidirect
12. C2×#63853C2semidirect
22. C22×C4×C3⋊D3C22semidirect
24. C22×C3×C4×D3C22semidirect
25. C22×#627C22semidirect
28. C22×#625C22semidirect
30. C2×#3798C22semidirect
32. C3×C4×#67C22semidirect
33. C2×C3×(C2×D3)⋊C4C22semidirect
34. C2×C3×Dic3⋊C4C22semidirect
35. C2×C3×C4×Dic3C22semidirect
36. #63982C22semidirect
37. #63981C22semidirect
38. #63980C22semidirect
39. C2×#3724C22semidirect
40. C2×#3724C22semidirect
41. C2×Dic3⋊Dic3C22semidirect
44. C2×(C2×D3)⋊Dic3C22semidirect
45. #63912C22semidirect
46. C4×#626C22semidirect
47. #63874C22semidirect
48. #63865C22semidirect
49. #63853C22semidirect
57. C2×C4×#67D3semidirect
87. C2×C4×C3⋊D3D4semidirect
98. C2×C3×C4×D3C23semidirect
100. C2×#627C23semidirect
106. C2×#625C23semidirect
109. C3×(C2×D3)⋊C4C23semidirect
110. C3×Dic3⋊C4C23semidirect
111. C3×C4×Dic3C23semidirect
112. #3724C23semidirect
113. #3724C23semidirect
114. Dic3⋊Dic3C23semidirect
117. (C2×D3)⋊Dic3C23semidirect
147. C22×C4×D3C2×D3semidirect
159. C4×#67C2×D3semidirect
165. C2×(C2×D3)⋊C4C2×D3semidirect
170. C2×Dic3⋊C4C2×D3semidirect
171. C2×C4×Dic3C2×D3semidirect
182. C23×C32#41semidirect
194. C22×C3⋊D3#41semidirect
214. C4×C3⋊D3C2×D4semidirect
313. C2×C4×D3C22×D3semidirect
327. (C2×D3)⋊C4C22×D3semidirect
332. Dic3⋊C4C22×D3semidirect
333. C4×Dic3C22×D3semidirect
340. C22×C32C2×#41semidirect
350. C2×C3⋊D3C2×#41semidirect
409. C23×C3#235semidirect
491. C2×C32#525semidirect
565. C22×C3C2×#235semidirect
605. C32C2×#525semidirect
624. C23#3798semidirect
660. C2×C3#5547semidirect
686. C22C2×#3798semidirect
698. C3C2×#5547semidirect
703. C2#10595016direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C4×C3⋊D32
C22×#37982
C2×C3×C4×#672
C2×#639822
C2×#639812
C2×#639802
#105950162
C2×#639122
C2×C4×#6262
C2×#638742
C2×#638652
C2×#638532
C2×#55473