Finite Group Databasebeta

← C2×#10593889 #11900102

Subgroups — C2×#10593889 #11900102

Order 1152.

3445 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3796C211yesmaximal, characteristic
2C2×#64081C211yesmaximal, characteristic, complemented
3C2×C3×C4×D12C211yesmaximal, characteristic, complemented
4C2×C3×C4×Dic6C211yesmaximal, characteristic, complemented
5C2×#63904C212yesmaximal, complemented
6C2×#63900C211yesmaximal, characteristic, complemented
7C2×#63898C211yesmaximal, characteristic, complemented
8C2×#63880C212yesmaximal, complemented
9C2×#63877C212yesmaximal, complemented
10C2×D3×Dic3⋊C4C212yesmaximal, complemented
11C2×#63843C211yesmaximal, characteristic, complemented
12#10593889C2116yesmaximal, direct product factor
13C2×#5574—31nomaximal
14C2×#5546—31nomaximal
15C22×C4×C3⋊D3C2211yescharacteristic
16C22×C3×D12C2211yescharacteristic
17C22×C3×C4×D3C2212yes—
18C22×C3×Dic6C2211yescharacteristic
19C22×#626C2212yes—
20C22×#624C2212yes—
21C22×D3×Dic3C2212yes—
22C22×D3×Dic3C2212yes—
23C2×#3796C4116yescomplemented
24C2×#3796C2218yes—
25C2×C32×C42C2211yescharacteristic
26C2×#3752C2211yescharacteristic
27C2×#3752C2211yescharacteristic
28C2×#3750C2211yescharacteristic
29C2×#3750C2211yescharacteristic
30C2×C4×C3⋊Dic3C2211yescharacteristic
31#64081C2218yescomplemented
32C2×C3×(C2×D3)⋊C4C2212yes—
33C2×C3×C4⋊Dic3C2211yescharacteristic
34C2×C3×C4⋊Dic3C2211yescharacteristic
35C2×C3×Dic3⋊C4C2212yes—
36C2×C3×C4×Dic3C2212yes—
37C3×C4×D12C2218yescomplemented
38C3×C4×Dic6C2218yescomplemented
39C2×#3724C2212yes—
40C2×Dic3⋊Dic3C2212yes—
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×Dic32C2212yes—
43#63904C22116yescomplemented
44#63900C2218yescomplemented
45#63898C2218yescomplemented
46#63880C22116yescomplemented
47#63877C22116yescomplemented
48D3×Dic3⋊C4C22116yescomplemented
49#63843C2218yescomplemented
50C22×#239—31no—
51C22×#237—31no—
52C2×C3×C4×Q8—31no—
53C2×C3×C4×D4—31no—
54C2×Q8×Dic3—31no—
55C2×D4×Dic3—31no—
56C2×C4×#67—32no—
57C22×Dic3⋊C4—32no—
58#5574—316no—
59#5546—316no—
60C2×#893—31no—
61C2×#893—32no—
62C2×D3×C4⋊C4—32no—
63C2×D3×C4⋊C4—31no—
64C2×D3×C4⋊C4—31no—
65C2×#887—31no—
66C2×#67⋊C4—32no—
67C2×#877—32no—
68C2×C4×D12—32no—
69C2×C4×D12D311yescharacteristic, complemented
70C2×#872—31no—
71C2×#872—31no—
72C2×#872—32no—
73C2×#872—61no—
74C2×C4×Dic6D311yescharacteristic, complemented
75C23×C3⋊D3C2311yescharacteristic
76C23×C3×D3C2312yes—
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3C2311yescharacteristic
81C22×C3⋊Dic3C2311yescharacteristic
82C22×C3⋊Dic3C2311yescharacteristic
83C2×C4×C3⋊D3C2×C418yescomplemented
84C2×C4×C3⋊D3C2314yes—
85C22×C3×Dic3C2312yes—
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2312yes—
88C2×C3×D12C2×C418yescomplemented
89C2×C3×D12C2314yes—
90C2×C3×C4×D3—44no—
91C2×C3×C4×D3C2318yes—
92C2×C3×Dic6C2×C418yescomplemented
93C2×C3×Dic6C2314yes—
94C2×#626C2×C4116yescomplemented
95C2×#626C2318yes—
96C2×#624—44no—
97C2×#624C2318yes—
98C2×D3×Dic3—44no—
99C2×D3×Dic3C2×C4116yescomplemented
100C2×D3×Dic3C2318yes—
101C2×D3×Dic3C2318yes—
102#3796C2×C4164yescomplemented
103C32×C42C2314yes—
104#3752C2314yes—
105#3752C2314yes—
106#3750C2314yes—
107#3750C2314yes—
108C4×C3⋊Dic3C2314yes—
109C3×(C2×D3)⋊C4C2318yes—
110C3×C4⋊Dic3C2314yes—
111C3×C4⋊Dic3C2314yes—
112C3×Dic3⋊C4C2318yes—
113C3×C4×Dic3C2318yes—
114#3724C2318yes—
115Dic3⋊Dic3C2318yes—
116(C2×D3)⋊Dic3C2318yes—
117Dic32C2318yes—
118C2×#520—91noSylow
119C22×C3×Q8—31no—
120C22×C3×D4—31no—
121C23×C3×C4—32no—
122C22×#67—32no—
123C23×Dic3—32no—
124C23×Dic3—32no—
125C2×#239—316no—
126C2×#239—38no—
127C2×#237—316no—
128C2×#237—38no—
129C22×D12—32no—
130C22×D12C2×D311yescharacteristic
131C22×C4×D3—32no—
132C22×C4×D3—31no—
133C22×C4×D3—31no—
134C22×C4×D3—32no—
135C22×C4×D3—32no—
136C22×C4×D3—32no—
137C22×C4×D3—61no—
138C22×C4×D3C2×D312yes—
139C22×Dic6C2×D311yescharacteristic
140C3×C4×Q8—38no—
141C3×C4×D4—38no—
142C2×C3×C4⋊C4—32no—
143C2×C3×C4⋊C4—31no—
144C2×C3×C4⋊C4—31no—
145C2×C3×C22⋊C4—32no—
146C2×C3×C42—21no—
147C2×C3×C42—32no—
148C2×C3×C42C2×D311yescharacteristic
149C2×C3×C42C2×D311yescharacteristic
150C2×#217—32no—
151Q8×Dic3—38no—
152D4×Dic3—38no—
153C4×#67—316no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—31no—
156C2×(C2×D3)⋊C4—31no—
157C2×(C2×D3)⋊C4—31no—
158C2×(C2×D3)⋊C4—31no—
159C2×(C2×D3)⋊C4—61no—
160C2×(C2×D3)⋊C4—61no—
161C2×(C2×D3)⋊C4C2×D312yes—
162C2×C4⋊Dic3—32no—
163C2×C4⋊Dic3C2×D311yescharacteristic
164C2×C4⋊Dic3C2×D311yescharacteristic
165C2×Dic3⋊C4—31no—
166C2×Dic3⋊C4—31no—
167C2×Dic3⋊C4—31no—
168C2×Dic3⋊C4—31no—
169C2×Dic3⋊C4—32no—
170C2×Dic3⋊C4—32no—
171C2×Dic3⋊C4—32no—
172C2×Dic3⋊C4—316no—
173C2×Dic3⋊C4—61no—
174C2×Dic3⋊C4—61no—
175C2×Dic3⋊C4C2×D312yes—
176C2×C4×Dic3—31no—
177C2×C4×Dic3—31no—
178C2×C4×Dic3—32no—
179C2×C4×Dic3—32no—
180C2×C4×Dic3—61no—
181C2×C4×Dic3C2×D312yes—
182#893—38no—
183#893—316no—
184D3×C4⋊C4—316no—
185D3×C4⋊C4—38no—
186D3×C4⋊C4—38no—
187#887—38no—
188#67⋊C4—316no—
189#877—316no—
190C4×D12—316no—
191C4×D12C2×D318yescomplemented
192#872—38no—
193#872—38no—
194#872—316no—
195#872—68no—
196C4×Dic6C2×D318yescomplemented
197C23×C32C2411yescharacteristic
198C22×C3⋊D3—22no—
199C22×C3⋊D3—22no—
200C22×C3⋊D3C22×C414yes—
201C22×C3⋊D3C2412yes—
202C22×C3×D3—24no—
203C22×C3×D3—24no—
204C22×C3×D3C22×C418yes—
205C22×C3×D3C2414yes—
206C2×C32×C4—22no—
207C2×C32×C4—22no—
208C2×C32×C4C22×C414yes—
209C2×C32×C4C2412yes—
210C2×C32×C4C2412yes—
211C2×C32×C4C2412yes—
212C2×C3⋊Dic3—22no—
213C2×C3⋊Dic3—22no—
214C2×C3⋊Dic3C22×C414yes—
215C2×C3⋊Dic3C2412yes—
216C2×C3⋊Dic3C2412yes—
217C2×C3⋊Dic3C2412yes—
218C4×C3⋊D3C22×C4116yescomplemented
219C2×C3×Dic3—24no—
220C2×C3×Dic3—24no—
221C2×C3×Dic3C22×C418yes—
222C2×C3×Dic3C2414yes—
223C2×C3×Dic3C2414yes—
224C2×C3×Dic3C2414yes—
225C3×D12C22×C4116yescomplemented
226C3×C4×D3—48no—
227C3×Dic6C22×C4116yescomplemented
228#626C22×C4132yescomplemented
229#624—48no—
230D3×Dic3—48no—
231D3×Dic3C22×C4132yescomplemented
232C22×#41—91no—
233#520—916no—
234C2×C4×Q8—31no—
235C2×C4×Q8—91no—
236C2×C4×D4—31no—
237C2×C4×D4—92no—
238C2×C4×D4—92no—
239C2×C4×D4—91no—
240C2×#117—92no—
241C2×#117—91no—
242C22×C4⋊C4—91no—
243C22×C4⋊C4—92no—
244C24×C3—32no—
245C23×D3—31no—
246C23×D3—31no—
247C23×D3—61no—
248C23×D3C22×D312yes—
249C2×C3×Q8—38no—
250C2×C3×Q8—34no—
251C2×C3×D4—38no—
252C2×C3×D4—34no—
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—21no—
256C22×C3×C4—32no—
257C22×C3×C4—32no—
258C22×C3×C4—32no—
259C22×C3×C4—38no—
260C22×C3×C4—124no—
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C22×C3×C4C22×D311yescharacteristic
266C22×C3×C4C22×D311yescharacteristic
267C2×#67—316no—
268C2×#67—38no—
269C22×Dic3—31no—
270C22×Dic3—31no—
271C22×Dic3—316no—
272C22×Dic3—38no—
273C22×Dic3—31no—
274C22×Dic3—31no—
275C22×Dic3—31no—
276C22×Dic3—31no—
277C22×Dic3—38no—
278C22×Dic3—61no—
279C22×Dic3—61no—
280C22×Dic3—61no—
281C22×Dic3—124no—
282C22×Dic3C22×D312yes—
283C22×Dic3C22×D312yes—
284C22×Dic3C22×D312yes—
285#239—364no—
286#237—364no—
287C2×D12—316no—
288C2×D12—38no—
289C2×D12C4×D318yescomplemented
290C2×D12C22×D314yes—
291C2×C4×D3—316no—
292C2×C4×D3—38no—
293C2×C4×D3—38no—
294C2×C4×D3—38no—
295C2×C4×D3—34no—
296C2×C4×D3—34no—
297C2×C4×D3—38no—
298C2×C4×D3—38no—
299C2×C4×D3—38no—
300C2×C4×D3—44no—
301C2×C4×D3—64no—
302C2×C4×D3—68no—
303C2×C4×D3—124no—
304C2×C4×D3—124no—
305C2×C4×D3—124no—
306C2×C4×D3C22×D318yes—
307C2×Dic6C4×D318yescomplemented
308C2×Dic6C22×D314yes—
309C3×C4⋊C4—34no—
310C3×C4⋊C4—38no—
311C3×C4⋊C4—34no—
312C3×C22⋊C4—38no—
313C3×C42—24no—
314C3×C42—38no—
315C3×C42C22×D314yes—
316C3×C42C22×D314yes—
317#217—38no—
318(C2×D3)⋊C4—38no—
319(C2×D3)⋊C4—34no—
320(C2×D3)⋊C4—34no—
321(C2×D3)⋊C4—34no—
322(C2×D3)⋊C4—34no—
323(C2×D3)⋊C4—64no—
324(C2×D3)⋊C4—64no—
325(C2×D3)⋊C4C22×D318yes—
326C4⋊Dic3—38no—
327C4⋊Dic3C22×D314yes—
328C4⋊Dic3C22×D314yes—
329Dic3⋊C4—34no—
330Dic3⋊C4—34no—
331Dic3⋊C4—34no—
332Dic3⋊C4—34no—
333Dic3⋊C4—38no—
334Dic3⋊C4—38no—
335Dic3⋊C4—38no—
336Dic3⋊C4—64no—
337Dic3⋊C4—64no—
338Dic3⋊C4C22×D318yes—
339C4×Dic3—34no—
340C4×Dic3—34no—
341C4×Dic3—38no—
342C4×Dic3—38no—
343C4×Dic3—64no—
344C4×Dic3C22×D318yes—
345C22×C32C23×C412yes—
346C22×C32H(5,𝔽2)12yes—
347C22×C322−1+412yes—
348C22×C32C2511yescharacteristic
349C2×C3⋊D3—28no—
350C2×C3⋊D3—22no—
351C2×C3⋊D3—22no—
352C2×C3⋊D3C23×C414yes—
353C2×C3×D3—216no—
354C2×C3×D3—24no—
355C2×C3×D3—24no—
356C2×C3×D3C23×C418yes—
357C32×C4—22no—
358C32×C4—22no—
359C32×C4C23×C414yes—
360C3⋊Dic3—22no—
361C3⋊Dic3—22no—
362C3⋊Dic3C23×C414yes—
363C3×Dic3—24no—
364C3×Dic3—24no—
365C3×Dic3C23×C418yes—
366C2×#41—98no—
367C2×#41—916no—
368C22×Q8—31no—
369C22×D4—31no—
370C22×D4—92no—
371C23×C4—32no—
372C23×C4—92no—
373C23×C4—92no—
374C23×C4—92no—
375C23×C4—91no—
376C4×Q8—38no—
377C4×Q8—98no—
378C4×D4—38no—
379C4×D4—916no—
380C4×D4—916no—
381C4×D4—98no—
382#117—916no—
383#117—98no—
384C2×C4⋊C4—31no—
385C2×C4⋊C4—32no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—98no—
388C2×C4⋊C4—916no—
389C2×C4⋊C4—92no—
390C2×C4⋊C4—92no—
391C2×C4⋊C4—91no—
392C2×C4⋊C4—91no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—91no—
396C2×C22⋊C4—91no—
397C2×C42—32no—
398C2×C42—92no—
399C2×C42—91no—
400C2×C42D3211yescharacteristic
401C23×C3—21no—
402C23×C3—38no—
403C23×C3—34no—
404C23×C3—64no—
405C23×C3—64no—
406C23×C3C23×D311yescharacteristic
407C23×C3C23×D311yescharacteristic
408C22×D3—24no—
409C22×D3—24no—
410C22×D3—34no—
411C22×D3—34no—
412C22×D3—32no—
413C22×D3—32no—
414C22×D3—64no—
415C22×D3—62no—
416C22×D3—62no—
417C22×D3—62no—
418C22×D3—62no—
419C22×D3—62no—
420C22×D3—122no—
421C22×D3—122no—
422C22×D3C2×C4×D318yes—
423C22×D3C23×D314yes—
424C3×Q8—316no—
425C3×D4—316no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—24no—
434C2×C3×C4—38no—
435C2×C3×C4—34no—
436C2×C3×C4—34no—
437C2×C3×C4—34no—
438C2×C3×C4—42no—
439C2×C3×C4—42no—
440C2×C3×C4—64no—
441C2×C3×C4—64no—
442C2×C3×C4—128no—
443C2×C3×C4C2×C4×D314yes—
444C2×C3×C4C2×C4×D314yes—
445C2×C3×C4C23×D312yes—
446C2×C3×C4C23×D312yes—
447C2×C3×C4C23×D312yes—
448C2×C3×C4C23×D312yes—
449C2×C3×C4C23×D312yes—
450C2×C3×C4C23×D312yes—
451#67—332no—
452C2×Dic3—24no—
453C2×Dic3—24no—
454C2×Dic3—34no—
455C2×Dic3—34no—
456C2×Dic3—32no—
457C2×Dic3—32no—
458C2×Dic3—332no—
459C2×Dic3—32no—
460C2×Dic3—32no—
461C2×Dic3—32no—
462C2×Dic3—32no—
463C2×Dic3—64no—
464C2×Dic3—62no—
465C2×Dic3—62no—
466C2×Dic3—62no—
467C2×Dic3—62no—
468C2×Dic3—62no—
469C2×Dic3—62no—
470C2×Dic3—62no—
471C2×Dic3—122no—
472C2×Dic3—122no—
473C2×Dic3—128no—
474C2×Dic3C2×C4×D318yes—
475C2×Dic3C23×D314yes—
476C2×Dic3C23×D314yes—
477C2×Dic3C23×D314yes—
478D12—332no—
479D12C2×C4×D3116yescomplemented
480C4×D3—332no—
481C4×D3—316no—
482C4×D3—316no—
483C4×D3—48no—
484C4×D3—616no—
485C4×D3—128no—
486C4×D3—128no—
487C4×D3—128no—
488Dic6C2×C4×D3116yescomplemented
489C2×C32#52014yescomplemented
490C2×C32C24×C411yescharacteristic
491C2×C32C2×H(5,𝔽2)11yescharacteristic
492C2×C32C2×2−1+411yescharacteristic
493C3⋊D3—24no—
494C3×D3—28no—
495C24—32no—
496C24—91no—
497#41—964no—
498C2×Q8—34no—
499C2×Q8—38no—
500C2×D4—34no—
501C2×D4—38no—
502C2×D4—98no—
503C2×D4—916no—
504C22×C4—32no—
505C22×C4—32no—
506C22×C4—32no—
507C22×C4—38no—
508C22×C4—98no—
509C22×C4—98no—
510C22×C4—916no—
511C22×C4—98no—
512C22×C4—91no—
513C22×C4—94no—
514C22×C4—98no—
515C22×C4—91no—
516C22×C4—91no—
517C22×C4—124no—
518C22×C4—364no—
519C22×C4—364no—
520C22×C4C2×D3211yescharacteristic
521C22×C4C2×D3211yescharacteristic
522C22×C4C2×D3211yescharacteristic
523C4⋊C4—34no—
524C4⋊C4—38no—
525C4⋊C4—34no—
526C4⋊C4—98no—
527C4⋊C4—98no—
528C4⋊C4—94no—
529C4⋊C4—94no—
530C22⋊C4—38no—
531C22⋊C4—98no—
532C22⋊C4—94no—
533C22⋊C4—94no—
534C42—38no—
535C42—98no—
536C42—94no—
537C42C2×D3214yes—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—22no—
541C22×C3—21no—
542C22×C3—38no—
543C22×C3—64no—
544C22×C3—64no—
545C22×C3—616no—
546C22×C3C22×C4×D312yes—
547C22×C3C22×C4×D312yes—
548C22×C3#100412yes—
549C22×C3#100712yes—
550C22×C3#100912yes—
551C22×C3#101012yes—
552C22×C3C24×D311yescharacteristic
553C22×C3C24×D311yescharacteristic
554C2×D3—24no—
555C2×D3—24no—
556C2×D3—216no—
557C2×D3—34no—
558C2×D3—34no—
559C2×D3—64no—
560C2×D3—62no—
561C2×D3—62no—
562C2×D3—62no—
563C2×D3—62no—
564C2×D3—68no—
565C2×D3—68no—
566C2×D3—122no—
567C2×D3—122no—
568C2×D3—128no—
569C2×D3C22×C4×D318yes—
570C3×C4—22no—
571C3×C4—22no—
572C3×C4—22no—
573C3×C4—22no—
574C3×C4—24no—
575C3×C4—38no—
576C3×C4—42no—
577C3×C4—42no—
578C3×C4—64no—
579C3×C4—64no—
580C3×C4C22×C4×D314yes—
581C3×C4C22×C4×D314yes—
582Dic3—24no—
583Dic3—24no—
584Dic3—34no—
585Dic3—34no—
586Dic3—64no—
587Dic3—62no—
588Dic3—62no—
589Dic3—62no—
590Dic3—62no—
591Dic3—122no—
592Dic3—122no—
593Dic3C22×C4×D318yes—
594C32C2×#52011yescharacteristic, complemented, Sylow
595C23—38no—
596C23—34no—
597C23—64no—
598C23—64no—
599C23—94no—
600C23—92no—
601C23—182no—
602C23—182no—
603C23C22×D3211yescharacteristic
604Q8—316no—
605D4—316no—
606D4—932no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—38no—
610C2×C4—34no—
611C2×C4—34no—
612C2×C4—34no—
613C2×C4—64no—
614C2×C4—64no—
615C2×C4—932no—
616C2×C4—94no—
617C2×C4—92no—
618C2×C4—916no—
619C2×C4—92no—
620C2×C4—92no—
621C2×C4—128no—
622C2×C4—182no—
623C2×C4—182no—
624C2×C4—368no—
625C2×C4—368no—
626C2×C4C4×D3214yes—
627C2×C4C22×D3212yes—
628C2×C4C22×D3212yes—
629C2×C4C22×D3212yes—
630C2×C3—21no—
631C2×C3—21no—
632C2×C3—21no—
633C2×C3—24no—
634C2×C3—68no—
635C2×C3#554614yescomplemented
636C2×C3#557414yescomplemented
637C2×C3C23×C4×D311yescharacteristic
638C2×C3C23×C4×D311yescharacteristic
639C2×C3C2×#100411yescharacteristic
640C2×C3C2×#100711yescharacteristic
641C2×C3C2×#100911yescharacteristic
642C2×C3C2×#101011yescharacteristic
643D3—28no—
644D3—64no—
645D3—64no—
646D3—124no—
647C22—38no—
648C22—64no—
649C22—64no—
650C22—616no—
651C22—94no—
652C22—182no—
653C22—182no—
654C22—188no—
655C22#6429712yes—
656C22C2×C4×D3212yes—
657C22#6430712yes—
658C22C23×D3211yescharacteristic
659C4—22no—
660C4—22no—
661C4—38no—
662C4—64no—
663C4—64no—
664C4—94no—
665C4—182no—
666C4—182no—
667C4C2×C4×D3214yes—
668C3—21no—
669C3C2×#554611yescharacteristic, complemented
670C3C2×#557411yescharacteristic, complemented
671C2—68no—
672C2—184no—
673C2#1059388914yesdirect product factor
674C2C2×#6429711yescharacteristic
675C2C22×C4×D3211yescharacteristic
676C2C2×#6430711yescharacteristic
subgroupG/H
centerC23C22×D32
commutatorC2×C32C24×C4
FrattiniC22C23×D32
FittingC2×C32×C42C22
socleC23×C32C24
prime radicalC22×#3796C2
cosocleC22×C32C25
hypercenterC2×C42D32
hypocenterC32C2×#520
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×#64081C2semidirect
3. C2×C3×C4×D12C2semidirect
4. C2×C3×C4×Dic6C2semidirect
5. C2×#63904C2semidirect
6. C2×#63900C2semidirect
7. C2×#63898C2semidirect
8. C2×#63880C2semidirect
9. C2×#63877C2semidirect
10. C2×D3×Dic3⋊C4C2semidirect
11. C2×#63843C2semidirect
12. #10593889C2direct (N × H)
23. C2×#3796C4semidirect
31. #64081C22semidirect
37. C3×C4×D12C22semidirect
38. C3×C4×Dic6C22semidirect
43. #63904C22semidirect
44. #63900C22semidirect
45. #63898C22semidirect
46. #63880C22semidirect
47. #63877C22semidirect
48. D3×Dic3⋊C4C22semidirect
49. #63843C22semidirect
69. C2×C4×D12D3semidirect
74. C2×C4×Dic6D3semidirect
83. C2×C4×C3⋊D3C2×C4semidirect
88. C2×C3×D12C2×C4semidirect
92. C2×C3×Dic6C2×C4semidirect
94. C2×#626C2×C4semidirect
99. C2×D3×Dic3C2×C4semidirect
102. #3796C2×C4semidirect
191. C4×D12C2×D3semidirect
196. C4×Dic6C2×D3semidirect
218. C4×C3⋊D3C22×C4semidirect
225. C3×D12C22×C4semidirect
227. C3×Dic6C22×C4semidirect
228. #626C22×C4semidirect
231. D3×Dic3C22×C4semidirect
289. C2×D12C4×D3semidirect
307. C2×Dic6C4×D3semidirect
479. D12C2×C4×D3semidirect
488. Dic6C2×C4×D3semidirect
489. C2×C32#520semidirect
594. C32C2×#520semidirect
635. C2×C3#5546semidirect
636. C2×C3#5574semidirect
669. C3C2×#5546semidirect
670. C3C2×#5574semidirect
673. C2#10593889direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#37962
C2×#640812
C2×C3×C4×D122
C2×C3×C4×Dic62
C2×#639042
C2×#639002
C2×#638982
C2×#638802
C2×#638772
C2×D3×Dic3⋊C42
C2×#638432
#105938892
C2×#55743
C2×#55463