Finite Group Databasebeta

← C2×#10593986 #11901509

Subgroups — C2×#10593986 #11901509

Order 1152.

2733 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×C3×C4×D12C211yesmaximal, characteristic, complemented
3C2×C3×#872C211yesmaximal, characteristic, complemented
4C2×#63912C212yesmaximal, complemented
5C2×#63911C211yesmaximal, characteristic, complemented
6C2×#63909C211yesmaximal, characteristic, complemented
7C2×#63908C211yesmaximal, characteristic, complemented
8C2×#63906C212yesmaximal, complemented
9C2×#63869C211yesmaximal, characteristic, complemented
10C2×#63853C212yesmaximal, complemented
11C2×#63850C212yesmaximal, complemented
12#10593986C2116yesmaximal, direct product factor
13C2×#5562—31nomaximal
14C2×#5535—31nomaximal
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C4×C3⋊D3C2212yes—
17C22×C3×D12C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C22×C3×C4×D3C2212yes—
20C22×#626C2212yes—
21C22×#626C2212yes—
22C22×#626C2212yes—
23C22×#625C2212yes—
24C2×C32×C42C2211yescharacteristic
25C2×#3752C2212yes—
26C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
27C4×C4⋊(C3⋊D3)C2218yescomplemented
28C2×C3×(C2×D3)⋊C4C2212yes—
29C2×C3×(C2×D3)⋊C4C2211yescharacteristic
30C2×C3×(C2×D3)⋊C4C2211yescharacteristic
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×Dic3⋊C4C2211yescharacteristic
33C2×C3×Dic3⋊C4C2211yescharacteristic
34C2×C3×C4×Dic3C2211yescharacteristic
35C3×C4×D12C2218yescomplemented
36C3×#872C2218yescomplemented
37C2×#3724C2212yes—
38C2×Dic3⋊Dic3C2212yes—
39C2×#3722C2212yes—
40C2×(C2×D3)⋊Dic3C2212yes—
41#63912C22116yescomplemented
42#63911C2218yescomplemented
43#63909C2218yescomplemented
44#63908C2218yescomplemented
45#63906C22116yescomplemented
46#63869C2218yescomplemented
47#63853C22116yescomplemented
48#63850C22116yescomplemented
49C2×C3×C4×D4—31no—
50C2×C3×#117—31no—
51C2×#940—31no—
52C2×#938—31no—
53C2×#930—31no—
54C2×#930—32no—
55C2×#930—31no—
56C2×#929—32no—
57#5562—316no—
58#5535—316no—
59C2×#895—31no—
60C2×#894—32no—
61C2×#894—32no—
62C2×#890—31no—
63C2×#884—32no—
64C2×#884—32no—
65C2×#884—32no—
66C2×#883—32no—
67C2×#874—31no—
68C2×C4×D12—31no—
69C2×C4×D12—31no—
70C2×C4×D12—61no—
71C2×C4×D12D311yescharacteristic, complemented
72C2×#872D311yescharacteristic, complemented
73C2×#870—31no—
74C23×C3⋊D3C2312yes—
75C23×C3×D3C2311yescharacteristic
76C23×C3×D3C2312yes—
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3C2312yes—
81C2×C4⋊(C3⋊D3)—24no—
82C2×C4⋊(C3⋊D3)C2314yes—
83C2×C4×C3⋊D3—44no—
84C2×C4×C3⋊D3C2318yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2312yes—
89C2×C3×D12—24no—
90C2×C3×D12C2314yes—
91C2×C3×C4×D3—24no—
92C2×C3×C4×D3—44no—
93C2×C3×C4×D3C2314yes—
94C2×C3×C4×D3C2318yes—
95C2×#626—44no—
96C2×#626—44no—
97C2×#626—44no—
98C2×#626C2318yes—
99C2×#626C2318yes—
100C2×#626C2318yes—
101C2×#625—44no—
102C2×#625C2318yes—
103C32×C42C2314yes—
104#3752C2318yes—
105C4⋊(C3⋊Dic3)C2314yes—
106C3×(C2×D3)⋊C4C2318yes—
107C3×(C2×D3)⋊C4C2314yes—
108C3×(C2×D3)⋊C4C2314yes—
109C3×C4⋊Dic3C2314yes—
110C3×Dic3⋊C4C2314yes—
111C3×Dic3⋊C4C2314yes—
112C3×C4×Dic3C2314yes—
113#3724C2318yes—
114Dic3⋊Dic3C2318yes—
115#3722C2318yes—
116(C2×D3)⋊Dic3C2318yes—
117C2×#540—91noSylow
118C22×C3×D4—31no—
119C23×C3×C4—31no—
120C23×C3×C4—32no—
121C22×#67—32no—
122C22×#67—32no—
123C22×#67—32no—
124C22×#67—32no—
125C22×#67—32no—
126C22×D12—31no—
127C22×D12—31no—
128C22×D12—32no—
129C22×D12—32no—
130C22×D12—32no—
131C22×D12—61no—
132C22×D12C2×D311yescharacteristic
133C22×C4×D3—32no—
134C22×C4×D3—32no—
135C22×C4×D3—62no—
136C22×C4×D3C2×D311yescharacteristic
137C22×C4×D3C2×D312yes—
138C3×C4×D4—38no—
139C3×#117—38no—
140C2×C3×C4⋊C4—31no—
141C2×C3×C4⋊C4—31no—
142C2×C3×C4⋊C4—31no—
143C2×C3×C22⋊C4—32no—
144C2×C3×C22⋊C4—31no—
145C2×C3×C22⋊C4—31no—
146C2×C3×C42—21no—
147C2×C3×C42—31no—
148C2×C3×C42C2×D311yescharacteristic
149C2×C3×C42C2×D311yescharacteristic
150C2×#217—32no—
151#940—38no—
152#938—38no—
153#930—38no—
154#930—316no—
155#930—38no—
156#929—316no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—32no—
159C2×(C2×D3)⋊C4—32no—
160C2×(C2×D3)⋊C4—32no—
161C2×(C2×D3)⋊C4—32no—
162C2×(C2×D3)⋊C4—62no—
163C2×(C2×D3)⋊C4C2×D311yescharacteristic
164C2×(C2×D3)⋊C4C2×D311yescharacteristic
165C2×(C2×D3)⋊C4C2×D312yes—
166C2×C4⋊Dic3—31no—
167C2×C4⋊Dic3—31no—
168C2×C4⋊Dic3—32no—
169C2×C4⋊Dic3—61no—
170C2×C4⋊Dic3C2×D311yescharacteristic
171C2×Dic3⋊C4—32no—
172C2×Dic3⋊C4—32no—
173C2×Dic3⋊C4—32no—
174C2×Dic3⋊C4C2×D311yescharacteristic
175C2×Dic3⋊C4C2×D311yescharacteristic
176C2×C4×Dic3C2×D311yescharacteristic
177#895—38no—
178#894—316no—
179#894—316no—
180#890—38no—
181#884—316no—
182#884—316no—
183#884—316no—
184#883—316no—
185#874—38no—
186C4×D12—38no—
187C4×D12—38no—
188C4×D12—68no—
189C4×D12C2×D318yescomplemented
190#872C2×D318yescomplemented
191#870—38no—
192C23×C32C2411yescharacteristic
193C22×C3⋊D3—24no—
194C22×C3⋊D3—24no—
195C22×C3⋊D3—24no—
196C22×C3⋊D3C2414yes—
197C22×C3×D3—22no—
198C22×C3×D3—24no—
199C22×C3×D3—22no—
200C22×C3×D3—24no—
201C22×C3×D3—22no—
202C22×C3×D3—24no—
203C22×C3×D3C2414yes—
204C22×C3×D3C2412yes—
205C2×C32×C4—22no—
206C2×C32×C4—22no—
207C2×C32×C4#4114yes—
208C2×C32×C4C2412yes—
209C2×C32×C4C2412yes—
210C2×C32×C4C2412yes—
211C2×C3⋊Dic3—24no—
212C2×C3⋊Dic3C2414yes—
213C4⋊(C3⋊D3)—28no—
214C4×C3⋊D3—48no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—22no—
218C2×C3×Dic3—24no—
219C2×C3×Dic3C2412yes—
220C2×C3×Dic3C2414yes—
221C2×C3×Dic3C2412yes—
222C2×C3×Dic3C2412yes—
223C3×D12—28no—
224C3×C4×D3—28no—
225C3×C4×D3—48no—
226#626—48no—
227#626—48no—
228#626—48no—
229#625—48no—
230#540—916no—
231C2×#127—91no—
232C2×#125—91no—
233C2×#123—92no—
234C2×#123—92no—
235C2×#121—92no—
236C2×#121—92no—
237C2×#121—91no—
238C2×#121—91no—
239C2×C4×D4—31no—
240C2×C4×D4—91no—
241C2×#117—31no—
242C24×C3—32no—
243C24×C3—31no—
244C23×D3—32no—
245C23×D3—32no—
246C23×D3—62no—
247C23×D3C22×D312yes—
248C23×D3C22×D311yescharacteristic
249C2×C3×D4—34no—
250C2×C3×D4—64no—
251C22×C3×C4—21no—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4—31no—
255C22×C3×C4—31no—
256C22×C3×C4—32no—
257C22×C3×C4—31no—
258C22×C3×C4—34no—
259C22×C3×C4—38no—
260C22×C3×C4—64no—
261C22×C3×C4—124no—
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C22×C3×C4C22×D311yescharacteristic
266C22×C3×C4C22×D311yescharacteristic
267C22×C3×C4C22×D311yescharacteristic
268C2×#67—38no—
269C2×#67—38no—
270C2×#67—38no—
271C2×#67—38no—
272C2×#67—38no—
273C2×#67—124no—
274C2×#67—124no—
275C2×#67—124no—
276C2×#67—124no—
277C2×#67—124no—
278C22×Dic3—32no—
279C22×Dic3—32no—
280C22×Dic3—62no—
281C22×Dic3C22×D311yescharacteristic
282C22×Dic3C22×D311yescharacteristic
283C22×Dic3C22×D312yes—
284C22×Dic3C22×D311yescharacteristic
285C2×D12—24no—
286C2×D12—34no—
287C2×D12—34no—
288C2×D12—38no—
289C2×D12—38no—
290C2×D12—38no—
291C2×D12—64no—
292C2×D12—68no—
293C2×D12—64no—
294C2×D12—64no—
295C2×D12—124no—
296C2×D12—124no—
297C2×D12—124no—
298C2×D12C22×D314yes—
299C2×C4×D3—24no—
300C2×C4×D3—38no—
301C2×C4×D3—38no—
302C2×C4×D3—44no—
303C2×C4×D3—68no—
304C2×C4×D3—124no—
305C2×C4×D3—124no—
306C2×C4×D3—128no—
307C2×C4×D3C22×D314yes—
308C2×C4×D3C22×D318yes—
309C3×C4⋊C4—34no—
310C3×C4⋊C4—34no—
311C3×C4⋊C4—34no—
312C3×C22⋊C4—38no—
313C3×C22⋊C4—34no—
314C3×C22⋊C4—34no—
315C3×C42—24no—
316C3×C42—34no—
317C3×C42C22×D314yes—
318C3×C42C22×D314yes—
319#217—38no—
320(C2×D3)⋊C4—38no—
321(C2×D3)⋊C4—38no—
322(C2×D3)⋊C4—38no—
323(C2×D3)⋊C4—38no—
324(C2×D3)⋊C4—38no—
325(C2×D3)⋊C4—68no—
326(C2×D3)⋊C4C22×D314yes—
327(C2×D3)⋊C4C22×D314yes—
328(C2×D3)⋊C4C22×D318yes—
329C4⋊Dic3—34no—
330C4⋊Dic3—34no—
331C4⋊Dic3—38no—
332C4⋊Dic3—64no—
333C4⋊Dic3C22×D314yes—
334Dic3⋊C4—38no—
335Dic3⋊C4—38no—
336Dic3⋊C4—38no—
337Dic3⋊C4C22×D314yes—
338Dic3⋊C4C22×D314yes—
339C4×Dic3C22×D314yes—
340C22×C32C2×#4112yes—
341C22×C32H(5,𝔽2)12yes—
342C22×C32H(5,𝔽2)12yes—
343C22×C32C2511yescharacteristic
344C2×C3⋊D3—24no—
345C2×C3⋊D3—24no—
346C2×C3⋊D3—24no—
347C2×C3⋊D3—48no—
348C2×C3×D3—22no—
349C2×C3×D3—24no—
350C2×C3×D3—22no—
351C2×C3×D3—24no—
352C2×C3×D3—22no—
353C2×C3×D3—24no—
354C2×C3×D3—44no—
355C2×C3×D3—48no—
356C32×C4—22no—
357C32×C4—22no—
358C32×C4C2×#4114yes—
359C3⋊Dic3—24no—
360C3×Dic3—22no—
361C3×Dic3—22no—
362C3×Dic3—22no—
363C3×Dic3—24no—
364C22×D4—31no—
365C22×D4—92no—
366C22×D4—92no—
367C22×D4—92no—
368C22×D4—92no—
369C22×D4—91no—
370C23×C4—31no—
371C23×C4—32no—
372C23×C4—92no—
373#127—98no—
374#125—98no—
375#123—916no—
376#123—916no—
377#121—916no—
378#121—916no—
379#121—98no—
380#121—98no—
381C4×D4—38no—
382C4×D4—98no—
383#117—38no—
384C2×C4⋊C4—31no—
385C2×C4⋊C4—31no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—92no—
388C2×C4⋊C4—92no—
389C2×C4⋊C4—91no—
390C2×C22⋊C4—31no—
391C2×C22⋊C4—31no—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—92no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—92no—
396C2×C42—31no—
397C2×C42D3211yescharacteristic
398C23×C3—21no—
399C23×C3—34no—
400C23×C3—32no—
401C23×C3—62no—
402C23×C3—64no—
403C23×C3—62no—
404C23×C3—64no—
405C23×C3—62no—
406C23×C3—64no—
407C23×C3C23×D311yescharacteristic
408C23×C3C23×D311yescharacteristic
409C22×D3—22no—
410C22×D3—24no—
411C22×D3—24no—
412C22×D3—22no—
413C22×D3—24no—
414C22×D3—22no—
415C22×D3—34no—
416C22×D3—34no—
417C22×D3—64no—
418C22×D3—68no—
419C22×D3—64no—
420C22×D3—64no—
421C22×D3—64no—
422C22×D3—64no—
423C22×D3—64no—
424C22×D3—64no—
425C22×D3—124no—
426C22×D3—124no—
427C22×D3C23×D314yes—
428C22×D3C23×D312yes—
429C3×D4—68no—
430C2×C3×C4—24no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—24no—
439C2×C3×C4—32no—
440C2×C3×C4—32no—
441C2×C3×C4—34no—
442C2×C3×C4—32no—
443C2×C3×C4—42no—
444C2×C3×C4—62no—
445C2×C3×C4—62no—
446C2×C3×C4—62no—
447C2×C3×C4—64no—
448C2×C3×C4—68no—
449C2×C3×C4—128no—
450C2×C3×C4#23514yes—
451C2×C3×C4#23514yes—
452C2×C3×C4C23×D312yes—
453C2×C3×C4C23×D312yes—
454C2×C3×C4C23×D312yes—
455C2×C3×C4C23×D312yes—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458#67—128no—
459#67—128no—
460#67—128no—
461#67—128no—
462#67—128no—
463C2×Dic3—22no—
464C2×Dic3—24no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—34no—
468C2×Dic3—34no—
469C2×Dic3—64no—
470C2×Dic3—64no—
471C2×Dic3—64no—
472C2×Dic3—124no—
473C2×Dic3C23×D312yes—
474C2×Dic3C23×D312yes—
475C2×Dic3C23×D314yes—
476C2×Dic3C23×D312yes—
477D12—28no—
478D12—616no—
479D12—68no—
480D12—68no—
481D12—128no—
482D12—128no—
483D12—128no—
484C4×D3—28no—
485C4×D3—48no—
486C4×D3—128no—
487C4×D3—128no—
488C4×D3—1216no—
489C2×C32#54014yescomplemented
490C2×C32C22×#4111yescharacteristic
491C2×C32C2×H(5,𝔽2)11yescharacteristic
492C2×C32C2×H(5,𝔽2)11yescharacteristic
493C3⋊D3—44no—
494C3×D3—44no—
495C3×D3—42no—
496C24—31no—
497C24—32no—
498C24—92no—
499C2×D4—34no—
500C2×D4—64no—
501C2×D4—98no—
502C2×D4—98no—
503C2×D4—98no—
504C2×D4—98no—
505C2×D4—94no—
506C2×D4—184no—
507C2×D4—364no—
508C2×D4—364no—
509C2×D4—364no—
510C2×D4—364no—
511C22×C4—31no—
512C22×C4—31no—
513C22×C4—32no—
514C22×C4—31no—
515C22×C4—34no—
516C22×C4—38no—
517C22×C4—64no—
518C22×C4—92no—
519C22×C4—98no—
520C22×C4—124no—
521C22×C4—364no—
522C22×C4C2×D3211yescharacteristic
523C22×C4C2×D3211yescharacteristic
524C22×C4C2×D3211yescharacteristic
525C4⋊C4—34no—
526C4⋊C4—34no—
527C4⋊C4—34no—
528C4⋊C4—98no—
529C4⋊C4—98no—
530C4⋊C4—94no—
531C22⋊C4—34no—
532C22⋊C4—34no—
533C22⋊C4—38no—
534C22⋊C4—98no—
535C22⋊C4—98no—
536C22⋊C4—98no—
537C42—34no—
538C42C2×D3214yes—
539C22×C3—22no—
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—21no—
543C22×C3—62no—
544C22×C3—64no—
545C22×C3—62no—
546C22×C3—62no—
547C22×C3—64no—
548C22×C3—64no—
549C22×C3—128no—
550C22×C3—124no—
551C22×C3C2×#23512yes—
552C22×C3C2×#23512yes—
553C22×C3#100412yes—
554C22×C3#100912yes—
555C22×C3#100912yes—
556C22×C3#100912yes—
557C22×C3C24×D311yescharacteristic
558C22×C3C24×D311yescharacteristic
559C2×D3—22no—
560C2×D3—24no—
561C2×D3—24no—
562C2×D3—22no—
563C2×D3—24no—
564C2×D3—22no—
565C2×D3—44no—
566C2×D3—48no—
567C2×D3—68no—
568C2×D3—64no—
569C2×D3—64no—
570C2×D3—64no—
571C2×D3—64no—
572C2×D3—64no—
573C2×D3—64no—
574C2×D3—124no—
575C2×D3—124no—
576C2×D3—1216no—
577C2×D3—128no—
578C2×D3—128no—
579C3×C4—24no—
580C3×C4—22no—
581C3×C4—22no—
582C3×C4—22no—
583C3×C4—22no—
584C3×C4—24no—
585C3×C4—42no—
586C3×C4—62no—
587C3×C4—62no—
588C3×C4—62no—
589C3×C4—64no—
590C3×C4C2×#23514yes—
591C3×C4C2×#23514yes—
592Dic3—22no—
593Dic3—24no—
594Dic3—22no—
595Dic3—22no—
596Dic3—64no—
597Dic3—64no—
598Dic3—124no—
599C32C2×#54011yescharacteristic, complemented, Sylow
600C23—32no—
601C23—34no—
602C23—62no—
603C23—64no—
604C23—64no—
605C23—62no—
606C23—64no—
607C23—62no—
608C23—94no—
609C23—184no—
610C23—184no—
611C23—184no—
612C23C22×D3211yescharacteristic
613D4—68no—
614D4—188no—
615D4—368no—
616D4—368no—
617D4—368no—
618D4—368no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—32no—
622C2×C4—32no—
623C2×C4—34no—
624C2×C4—32no—
625C2×C4—62no—
626C2×C4—64no—
627C2×C4—62no—
628C2×C4—62no—
629C2×C4—68no—
630C2×C4—94no—
631C2×C4—128no—
632C2×C4—184no—
633C2×C4—368no—
634C2×C4#379814yes—
635C2×C4C22×D3212yes—
636C2×C4C22×D3212yes—
637C2×C4C22×D3212yes—
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—24no—
642C2×C3—122no—
643C2×C3—124no—
644C2×C3#553514yescomplemented
645C2×C3#556214yescomplemented
646C2×C3C22×#23511yescharacteristic
647C2×C3C22×#23511yescharacteristic
648C2×C3C2×#100411yescharacteristic
649C2×C3C2×#100911yescharacteristic
650C2×C3C2×#100911yescharacteristic
651C2×C3C2×#100911yescharacteristic
652D3—44no—
653D3—42no—
654D3—128no—
655D3—124no—
656D3—124no—
657C22—62no—
658C22—64no—
659C22—64no—
660C22—62no—
661C22—64no—
662C22—62no—
663C22—124no—
664C22—128no—
665C22—184no—
666C22—184no—
667C22—184no—
668C22—368no—
669C22C2×#379812yes—
670C22#6430712yes—
671C22#6430812yes—
672C22C23×D3211yescharacteristic
673C4—22no—
674C4—22no—
675C4—62no—
676C4—64no—
677C4—62no—
678C4—62no—
679C4—184no—
680C4C2×#379814yes—
681C3—21no—
682C3C2×#553511yescharacteristic, complemented
683C3C2×#556211yescharacteristic, complemented
684C2—122no—
685C2—124no—
686C2—364no—
687C2#1059398614yesdirect product factor
688C2C22×#379811yescharacteristic
689C2C2×#6430711yescharacteristic
690C2C2×#6430811yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C42C22
socleC23×C32C24
hypercenterC2×C42D32
hypocenterC32C2×#540
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×C4×C4⋊(C3⋊D3)C2semidirect
2. C2×C3×C4×D12C2semidirect
3. C2×C3×#872C2semidirect
4. C2×#63912C2semidirect
5. C2×#63911C2semidirect
6. C2×#63909C2semidirect
7. C2×#63908C2semidirect
8. C2×#63906C2semidirect
9. C2×#63869C2semidirect
10. C2×#63853C2semidirect
11. C2×#63850C2semidirect
12. #10593986C2direct (N × H)
27. C4×C4⋊(C3⋊D3)C22semidirect
35. C3×C4×D12C22semidirect
36. C3×#872C22semidirect
41. #63912C22semidirect
42. #63911C22semidirect
43. #63909C22semidirect
44. #63908C22semidirect
45. #63906C22semidirect
46. #63869C22semidirect
47. #63853C22semidirect
48. #63850C22semidirect
71. C2×C4×D12D3semidirect
72. C2×#872D3semidirect
189. C4×D12C2×D3semidirect
190. #872C2×D3semidirect
489. C2×C32#540semidirect
599. C32C2×#540semidirect
644. C2×C3#5535semidirect
645. C2×C3#5562semidirect
682. C3C2×#5535semidirect
683. C3C2×#5562semidirect
687. C2#10593986direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×C4⋊(C3⋊D3)2
C2×C3×C4×D122
C2×C3×#8722
C2×#639122
C2×#639112
C2×#639092
C2×#639082
C2×#639062
C2×#638692
C2×#638532
C2×#638502
#105939862
C2×#55623
C2×#55353