Finite Group Databasebeta

← C2×#10594843 #11903172

Subgroups — C2×#10594843 #11903172

Order 1152.

2717 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×#64139C211yesmaximal, characteristic, complemented
2C2×C3×C4×#67C211yesmaximal, characteristic, complemented
3C22×C3×C4⋊Dic3C211yesmaximal, characteristic, complemented
4C2×#63978C212yesmaximal, complemented
5C2×#63952C212yesmaximal, complemented
6C2×#63909C211yesmaximal, characteristic, complemented
7C2×#63894C211yesmaximal, characteristic, complemented
8C2×#63869C211yesmaximal, characteristic, complemented
9#10594843C2116yesmaximal, direct product factor
10C2×#63854C212yesmaximal, complemented
11C2×#63848C212yesmaximal, complemented
12C2×#63841C211yesmaximal, characteristic, complemented
13C2×#5565—31nomaximal
14C2×#5514—31nomaximal
15C23×C32×C4C2211yescharacteristic
16C22×#638C2212yes—
17C22×C4⋊(C3⋊D3)C2211yescharacteristic
18C22×C3×#67C2211yescharacteristic
19C23×C3×Dic3C2212yes—
20C22×C3×C4×D3C2211yescharacteristic
21C22×#626C2212yes—
22C22×#624C2212yes—
23#64139C2218yescomplemented
24C2×#3752C2212yes—
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
26C2×C3×#217C2211yescharacteristic
27C3×C4×#67C2218yescomplemented
28C2×C3×(C2×D3)⋊C4C2211yescharacteristic
29C2×C3×C4⋊Dic3C2212yes—
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4⋊Dic3C2218yescomplemented
33C2×C3×Dic3⋊C4C2211yescharacteristic
34C2×C3×C4×Dic3C2211yescharacteristic
35#63978C22116yescomplemented
36C2×#3724C2212yes—
37C2×Dic3⋊Dic3C2212yes—
38C2×#3722C2212yes—
39C2×#3722C2212yes—
40C2×(C2×D3)⋊Dic3C2212yes—
41C2×Dic32C2212yes—
42#63952C22116yescomplemented
43#63909C2218yescomplemented
44#63894C2218yescomplemented
45#63869C2218yescomplemented
46#63854C22116yescomplemented
47#63848C22116yescomplemented
48#63841C2218yescomplemented
49C2×C3×C4×D4—31no—
50C22×C3×C4⋊C4—31no—
51C2×#939—32no—
52C2×#930—31no—
53C2×#930—31no—
54C2×#930—32no—
55C2×#930—31no—
56C2×#930—61no—
57C2×C4×#67—32no—
58C2×C4×#67D311yescharacteristic, complemented
59C2×#926—31no—
60C22×C4⋊Dic3D311yescharacteristic, complemented
61#5565—316no—
62#5514—316no—
63C2×#898—32no—
64C2×#898—32no—
65C2×#895—31no—
66C2×#894—32no—
67C2×#893—31no—
68C2×#892—31no—
69C2×#890—31no—
70C2×#883—32no—
71C2×#67⋊C4—32no—
72C2×C4×D12—31no—
73C2×#870—31no—
74C24×C32C2311yescharacteristic
75C23×C3⋊D3C2312yes—
76C23×C3×D3C2311yescharacteristic
77C22×C32×C4—24no—
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C2×#638—28no—
82C2×#638C2318yes—
83C22×C3⋊Dic3C2312yes—
84C2×C4⋊(C3⋊D3)—24no—
85C2×C4⋊(C3⋊D3)C2314yes—
86C2×C3×#67—24no—
87C2×C3×#67C2314yes—
88C22×C3×Dic3—44no—
89C22×C3×Dic3C2311yescharacteristic
90C22×C3×Dic3C2311yescharacteristic
91C22×C3×Dic3C2311yescharacteristic
92C22×C3×Dic3C2312yes—
93C22×C3×Dic3C2312yes—
94C22×C3×Dic3C2318yes—
95C2×C3×C4×D3—24no—
96C2×C3×C4×D3C2314yes—
97C2×#626—44no—
98C2×#626C2318yes—
99C2×#624—44no—
100C2×#624C2318yes—
101#3752C2318yes—
102C4⋊(C3⋊Dic3)C2314yes—
103C3×#217C2314yes—
104C3×(C2×D3)⋊C4C2314yes—
105C3×C4⋊Dic3C2314yes—
106C3×C4⋊Dic3C2318yes—
107C3×C4⋊Dic3C2314yes—
108C3×Dic3⋊C4C2314yes—
109C3×C4×Dic3C2314yes—
110#3724C2318yes—
111Dic3⋊Dic3C2318yes—
112#3722C2318yes—
113#3722C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115Dic32C2318yes—
116C2×#553—91noSylow
117C22×C3×D4—31no—
118C23×C3×C4—21no—
119C23×C3×C4—32no—
120C23×C3×C4—31no—
121C23×C3×C4C2×D311yescharacteristic
122C23×C3×C4C2×D311yescharacteristic
123C22×#67—32no—
124C22×#67—32no—
125C22×#67—32no—
126C22×#67—62no—
127C22×#67C2×D311yescharacteristic
128C23×Dic3C2×D312yes—
129C22×D12—31no—
130C22×D12—31no—
131C22×D12—32no—
132C22×D12—61no—
133C22×C4×D3—32no—
134C22×C4×D3—32no—
135C22×C4×D3C2×D311yescharacteristic
136C3×C4×D4—38no—
137C2×C3×C4⋊C4—31no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C4⋊C4—31no—
140C2×C3×C4⋊C4—32no—
141C2×C3×C4⋊C4—38no—
142C2×C3×C22⋊C4—31no—
143C2×C3×C22⋊C4—31no—
144C2×C3×C42—31no—
145C2×#217—32no—
146C2×#217C2×D311yescharacteristic
147#939—316no—
148#930—38no—
149#930—38no—
150#930—316no—
151#930—38no—
152#930—68no—
153C4×#67—316no—
154C4×#67C2×D318yescomplemented
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
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
164#926—38no—
165C2×C4⋊Dic3—31no—
166C2×C4⋊Dic3—31no—
167C2×C4⋊Dic3—32no—
168C2×C4⋊Dic3—61no—
169C2×C4⋊Dic3C2×D311yescharacteristic
170C2×C4⋊Dic3C2×D311yescharacteristic
171C2×C4⋊Dic3C2×D312yes—
172C2×C4⋊Dic3C2×D318yescomplemented
173C2×Dic3⋊C4—32no—
174C2×Dic3⋊C4—32no—
175C2×Dic3⋊C4—32no—
176C2×Dic3⋊C4C2×D311yescharacteristic
177C2×C4×Dic3—32no—
178C2×C4×Dic3—32no—
179C2×C4×Dic3C2×D311yescharacteristic
180#898—316no—
181#898—316no—
182#895—38no—
183#894—316no—
184#893—38no—
185#892—38no—
186#890—38no—
187#883—316no—
188#67⋊C4—316no—
189C4×D12—38no—
190#870—38no—
191C23×C32—22no—
192C23×C32—22no—
193C23×C32#4114yes—
194C23×C32C2412yes—
195C23×C32C2411yescharacteristic
196C22×C3⋊D3—24no—
197C22×C3⋊D3—24no—
198C22×C3⋊D3—24no—
199C22×C3⋊D3C2414yes—
200C22×C3×D3—22no—
201C22×C3×D3—22no—
202C22×C3×D3—22no—
203C22×C3×D3C2412yes—
204C2×C32×C4—22no—
205C2×C32×C4—28no—
206C2×C32×C4#4114yes—
207C2×C32×C4C2412yes—
208C2×C32×C4C2412yes—
209#638—216no—
210C2×C3⋊Dic3—24no—
211C2×C3⋊Dic3C2414yes—
212C4⋊(C3⋊D3)—28no—
213C3×#67—28no—
214C2×C3×Dic3—22no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—24no—
218C2×C3×Dic3—24no—
219C2×C3×Dic3—48no—
220C2×C3×Dic3C2412yes—
221C2×C3×Dic3C2414yes—
222C2×C3×Dic3C2412yes—
223C2×C3×Dic3C2414yes—
224C2×C3×Dic3C2412yes—
225C3×C4×D3—28no—
226#626—48no—
227#624—48no—
228#553—916no—
229C2×#126—92no—
230C2×#125—91no—
231C2×#123—92no—
232C2×#121—91no—
233C2×#121—92no—
234C2×#121—91no—
235C2×C4×D4—31no—
236C2×C4×D4—91no—
237C2×C4×D4—92no—
238C2×#117—91no—
239C22×C4⋊C4—31no—
240C24×C3—21no—
241C24×C3—31no—
242C24×C3C22×D311yescharacteristic
243C24×C3C22×D311yescharacteristic
244C23×D3—32no—
245C23×D3—32no—
246C23×D3—62no—
247C23×D3C22×D311yescharacteristic
248C2×C3×D4—34no—
249C2×C3×D4—64no—
250C22×C3×C4—24no—
251C22×C3×C4—24no—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4—24no—
255C22×C3×C4—31no—
256C22×C3×C4—32no—
257C22×C3×C4—31no—
258C22×C3×C4—31no—
259C22×C3×C4—32no—
260C22×C3×C4—38no—
261C22×C3×C4—34no—
262C22×C3×C4—44no—
263C22×C3×C4—64no—
264C22×C3×C4—124no—
265C22×C3×C4C22×D311yescharacteristic
266C22×C3×C4C22×D311yescharacteristic
267C22×C3×C4C22×D314yes—
268C22×C3×C4C22×D314yes—
269C22×C3×C4C22×D311yescharacteristic
270C22×C3×C4C22×D311yescharacteristic
271C2×#67—24no—
272C2×#67—38no—
273C2×#67—38no—
274C2×#67—38no—
275C2×#67—68no—
276C2×#67—68no—
277C2×#67—68no—
278C2×#67—128no—
279C2×#67—124no—
280C2×#67C22×D314yes—
281C22×Dic3—32no—
282C22×Dic3—32no—
283C22×Dic3—44no—
284C22×Dic3—62no—
285C22×Dic3C22×D311yescharacteristic
286C22×Dic3C22×D312yes—
287C22×Dic3C22×D311yescharacteristic
288C22×Dic3C22×D311yescharacteristic
289C22×Dic3C22×D312yes—
290C22×Dic3C22×D318yes—
291C2×D12—34no—
292C2×D12—34no—
293C2×D12—38no—
294C2×D12—64no—
295C2×D12—64no—
296C2×D12—64no—
297C2×D12—124no—
298C2×D12—124no—
299C2×C4×D3—24no—
300C2×C4×D3—38no—
301C2×C4×D3—38no—
302C2×C4×D3—124no—
303C2×C4×D3—124no—
304C2×C4×D3C22×D314yes—
305C3×C4⋊C4—34no—
306C3×C4⋊C4—34no—
307C3×C4⋊C4—38no—
308C3×C4⋊C4—34no—
309C3×C22⋊C4—34no—
310C3×C22⋊C4—34no—
311C3×C42—34no—
312#217—38no—
313#217C22×D314yes—
314(C2×D3)⋊C4—38no—
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—38no—
318(C2×D3)⋊C4—38no—
319(C2×D3)⋊C4—38no—
320(C2×D3)⋊C4—38no—
321(C2×D3)⋊C4—68no—
322(C2×D3)⋊C4C22×D314yes—
323C4⋊Dic3—34no—
324C4⋊Dic3—34no—
325C4⋊Dic3—38no—
326C4⋊Dic3—64no—
327C4⋊Dic3C22×D314yes—
328C4⋊Dic3C22×D314yes—
329C4⋊Dic3C22×D318yes—
330Dic3⋊C4—38no—
331Dic3⋊C4—38no—
332Dic3⋊C4—38no—
333Dic3⋊C4C22×D314yes—
334C4×Dic3—38no—
335C4×Dic3—38no—
336C4×Dic3C22×D314yes—
337C22×C32—28no—
338C22×C32—22no—
339C22×C32—22no—
340C22×C32C2×#4112yes—
341C22×C32C2×#4114yes—
342C22×C32C2×#4112yes—
343C22×C32H(5,𝔽2)12yes—
344C22×C32C2511yescharacteristic
345C2×C3⋊D3—24no—
346C2×C3⋊D3—24no—
347C2×C3⋊D3—24no—
348C2×C3⋊D3—48no—
349C2×C3×D3—22no—
350C2×C3×D3—22no—
351C2×C3×D3—22no—
352C2×C3×D3—44no—
353C32×C4—22no—
354C32×C4C2×#4114yes—
355C3⋊Dic3—24no—
356C3×Dic3—22no—
357C3×Dic3—22no—
358C3×Dic3—22no—
359C3×Dic3—24no—
360C3×Dic3—24no—
361C22×D4—31no—
362C22×D4—92no—
363C22×D4—92no—
364C22×D4—91no—
365C23×C4—32no—
366C23×C4—31no—
367C23×C4—92no—
368C23×C4D3211yescharacteristic
369#126—916no—
370#125—98no—
371#123—916no—
372#121—98no—
373#121—916no—
374#121—98no—
375C4×D4—38no—
376C4×D4—98no—
377C4×D4—916no—
378#117—98no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—31no—
381C2×C4⋊C4—32no—
382C2×C4⋊C4—38no—
383C2×C4⋊C4—31no—
384C2×C4⋊C4—92no—
385C2×C4⋊C4—92no—
386C2×C4⋊C4—91no—
387C2×C22⋊C4—31no—
388C2×C22⋊C4—31no—
389C2×C22⋊C4—92no—
390C2×C22⋊C4—92no—
391C2×C22⋊C4—92no—
392C2×C22⋊C4—92no—
393C2×C42—31no—
394C2×C42—92no—
395C23×C3—22no—
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—21no—
401C23×C3—24no—
402C23×C3—32no—
403C23×C3—42no—
404C23×C3—42no—
405C23×C3—62no—
406C23×C3—62no—
407C23×C3—62no—
408C23×C3#23514yes—
409C23×C3#23914yes—
410C23×C3C23×D312yes—
411C23×C3C23×D312yes—
412C23×C3C23×D311yescharacteristic
413C23×C3C23×D311yescharacteristic
414C22×D3—22no—
415C22×D3—22no—
416C22×D3—22no—
417C22×D3—34no—
418C22×D3—34no—
419C22×D3—64no—
420C22×D3—64no—
421C22×D3—64no—
422C22×D3—64no—
423C22×D3—64no—
424C22×D3—64no—
425C22×D3—64no—
426C22×D3—124no—
427C22×D3—124no—
428C22×D3—124no—
429C22×D3C23×D312yes—
430C3×D4—68no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—28no—
434C2×C3×C4—28no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—24no—
438C2×C3×C4—32no—
439C2×C3×C4—34no—
440C2×C3×C4—32no—
441C2×C3×C4—32no—
442C2×C3×C4—34no—
443C2×C3×C4—48no—
444C2×C3×C4—42no—
445C2×C3×C4—62no—
446C2×C3×C4—62no—
447C2×C3×C4—62no—
448C2×C3×C4—64no—
449C2×C3×C4—64no—
450C2×C3×C4—68no—
451C2×C3×C4—128no—
452C2×C3×C4#23514yes—
453C2×C3×C4#23714yes—
454C2×C3×C4C23×D312yes—
455C2×C3×C4C23×D312yes—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458#67—28no—
459#67—616no—
460#67—616no—
461#67—1216no—
462#67—128no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—24no—
466C2×Dic3—24no—
467C2×Dic3—22no—
468C2×Dic3—34no—
469C2×Dic3—34no—
470C2×Dic3—48no—
471C2×Dic3—64no—
472C2×Dic3—64no—
473C2×Dic3—64no—
474C2×Dic3—124no—
475C2×Dic3C23×D312yes—
476C2×Dic3C23×D314yes—
477C2×Dic3C23×D312yes—
478C2×Dic3C23×D312yes—
479C2×Dic3C23×D314yes—
480D12—68no—
481D12—68no—
482D12—128no—
483D12—128no—
484C4×D3—28no—
485C4×D3—128no—
486C4×D3—128no—
487C2×C32—24no—
488C2×C32#55314yescomplemented
489C2×C32C22×#4111yescharacteristic
490C2×C32C22×#4111yescharacteristic
491C2×C32C2×H(5,𝔽2)11yescharacteristic
492C3⋊D3—44no—
493C3×D3—42no—
494C24—31no—
495C24—92no—
496C24C2×D3211yescharacteristic
497C2×D4—34no—
498C2×D4—64no—
499C2×D4—98no—
500C2×D4—98no—
501C2×D4—94no—
502C2×D4—188no—
503C2×D4—184no—
504C2×D4—364no—
505C22×C4—24no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—31no—
509C22×C4—32no—
510C22×C4—32no—
511C22×C4—38no—
512C22×C4—34no—
513C22×C4—64no—
514C22×C4—98no—
515C22×C4—92no—
516C22×C4—124no—
517C22×C4—364no—
518C22×C4C2×D3214yes—
519C22×C4C2×D3211yescharacteristic
520C22×C4C2×D3211yescharacteristic
521C4⋊C4—34no—
522C4⋊C4—34no—
523C4⋊C4—38no—
524C4⋊C4—34no—
525C4⋊C4—98no—
526C4⋊C4—98no—
527C4⋊C4—94no—
528C22⋊C4—34no—
529C22⋊C4—34no—
530C22⋊C4—98no—
531C22⋊C4—98no—
532C22⋊C4—98no—
533C22⋊C4—98no—
534C42—34no—
535C42—98no—
536C22×C3—22no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—28no—
541C22×C3—28no—
542C22×C3—22no—
543C22×C3—24no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—21no—
547C22×C3—42no—
548C22×C3—48no—
549C22×C3—42no—
550C22×C3—62no—
551C22×C3—62no—
552C22×C3—62no—
553C22×C3—124no—
554C22×C3C2×#23514yes—
555C22×C3C2×#23512yes—
556C22×C3C2×#23512yes—
557C22×C3C2×#23712yes—
558C22×C3#100412yes—
559C22×C3C2×#23914yes—
560C22×C3C2×#23912yes—
561C22×C3#100912yes—
562C22×C3C24×D311yescharacteristic
563C22×C3C24×D311yescharacteristic
564C2×D3—22no—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—44no—
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—124no—
577C2×D3—128no—
578C2×D3—128no—
579C2×D3—248no—
580C3×C4—22no—
581C3×C4—22no—
582C3×C4—24no—
583C3×C4—42no—
584C3×C4—62no—
585C3×C4—62no—
586C3×C4—62no—
587C3×C4—64no—
588C3×C4—64no—
589C3×C4C2×#23514yes—
590C3×C4C2×#23714yes—
591Dic3—22no—
592Dic3—22no—
593Dic3—24no—
594Dic3—24no—
595Dic3—22no—
596Dic3—64no—
597Dic3—64no—
598Dic3—124no—
599C32C2×#55311yescharacteristic, complemented, Sylow
600C23—22no—
601C23—22no—
602C23—32no—
603C23—62no—
604C23—62no—
605C23—62no—
606C23—94no—
607C23—184no—
608C23—184no—
609C23—184no—
610C23#379914yes—
611C23C22×D3212yes—
612C23C22×D3211yescharacteristic
613D4—68no—
614D4—1816no—
615D4—188no—
616D4—368no—
617C2×C4—22no—
618C2×C4—28no—
619C2×C4—32no—
620C2×C4—32no—
621C2×C4—32no—
622C2×C4—34no—
623C2×C4—34no—
624C2×C4—62no—
625C2×C4—64no—
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#380414yes—
635C2×C4C22×D3212yes—
636C2×C4C22×D3212yes—
637C2×C3—24no—
638C2×C3—24no—
639C2×C3—24no—
640C2×C3—21no—
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—44no—
644C2×C3—122no—
645C2×C3#551414yescomplemented
646C2×C3#556514yescomplemented
647C2×C3C22×#23511yescharacteristic
648C2×C3C22×#23511yescharacteristic
649C2×C3C22×#23711yescharacteristic
650C2×C3C2×#100411yescharacteristic
651C2×C3C22×#23911yescharacteristic
652C2×C3C2×#100911yescharacteristic
653D3—42no—
654D3—124no—
655D3—124no—
656D3—244no—
657C22—28no—
658C22—22no—
659C22—22no—
660C22—62no—
661C22—62no—
662C22—62no—
663C22—124no—
664C22—184no—
665C22—184no—
666C22—184no—
667C22—368no—
668C22C2×#379914yes—
669C22C2×#379912yes—
670C22#6430712yes—
671C22C2×#380412yes—
672C22C23×D3211yescharacteristic
673C4—22no—
674C4—62no—
675C4—64no—
676C4—64no—
677C4—62no—
678C4—62no—
679C4—184no—
680C4C2×#380414yes—
681C3—21no—
682C3C2×#551411yescharacteristic, complemented
683C3C2×#556511yescharacteristic, complemented
684C2—24no—
685C2—122no—
686C2—364no—
687C2#1059484314yesdirect product factor
688C2C22×#379911yescharacteristic
689C2C2×#6430711yescharacteristic
690C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#553
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C2×#64139C2semidirect
2. C2×C3×C4×#67C2semidirect
3. C22×C3×C4⋊Dic3C2semidirect
4. C2×#63978C2semidirect
5. C2×#63952C2semidirect
6. C2×#63909C2semidirect
7. C2×#63894C2semidirect
8. C2×#63869C2semidirect
9. #10594843C2direct (N × H)
10. C2×#63854C2semidirect
11. C2×#63848C2semidirect
12. C2×#63841C2semidirect
23. #64139C22semidirect
27. C3×C4×#67C22semidirect
32. C2×C3×C4⋊Dic3C22semidirect
35. #63978C22semidirect
42. #63952C22semidirect
43. #63909C22semidirect
44. #63894C22semidirect
45. #63869C22semidirect
46. #63854C22semidirect
47. #63848C22semidirect
48. #63841C22semidirect
58. C2×C4×#67D3semidirect
60. C22×C4⋊Dic3D3semidirect
154. C4×#67C2×D3semidirect
172. C2×C4⋊Dic3C2×D3semidirect
488. C2×C32#553semidirect
599. C32C2×#553semidirect
645. C2×C3#5514semidirect
646. C2×C3#5565semidirect
682. C3C2×#5514semidirect
683. C3C2×#5565semidirect
687. C2#10594843direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641392
C2×C3×C4×#672
C22×C3×C4⋊Dic32
C2×#639782
C2×#639522
C2×#639092
C2×#638942
C2×#638692
#105948432
C2×#638542
C2×#638482
C2×#638412
C2×#55653
C2×#55143