Finite Group Databasebeta

← C2×#10593923 #11903178

Subgroups — C2×#10593923 #11903178

Order 1152.

2617 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64079C211yesmaximal, characteristic, complemented
2C2×C3×C4×D12C211yesmaximal, characteristic, complemented
3C2×C3×C4×D12C211yesmaximal, characteristic, complemented
4C2×#63908C211yesmaximal, characteristic, complemented
5C2×#63908C211yesmaximal, characteristic, complemented
6C2×#63905C212yesmaximal, complemented
7C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
8C2×#63885C212yesmaximal, complemented
9C2×#63879C212yesmaximal, complemented
10C2×#63858C212yesmaximal, complemented
11C2×#63841C211yesmaximal, characteristic, complemented
12#10593923C2116yesmaximal, direct product factor
13C2×#5558—31nomaximal
14C2×#5565—31nomaximal
15C22×C3×D12C2211yescharacteristic
16C22×C3×D12C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C22×C3×C4×D3C2212yes—
20C22×#625C2212yes—
21C22×#625C2212yes—
22C22×D3×Dic3C2212yes—
23C2×C32×C42C2211yescharacteristic
24C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
26C2×#3750C2212yes—
27C2×#3750C2212yes—
28#64079C2218yescomplemented
29C2×C3×(C2×D3)⋊C4C2212yes—
30C2×C3×(C2×D3)⋊C4C2211yescharacteristic
31C2×C3×(C2×D3)⋊C4C2211yescharacteristic
32C2×C3×C4⋊Dic3C2211yescharacteristic
33C2×C3×C4⋊Dic3C2211yescharacteristic
34C3×C4×D12C2218yescomplemented
35C3×C4×D12C2218yescomplemented
36C2×Dic3⋊Dic3C2212yes—
37C2×(C2×D3)⋊Dic3C2212yes—
38C2×(C2×D3)⋊Dic3C2212yes—
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×Dic32C2212yes—
41#63908C2218yescomplemented
42#63908C2218yescomplemented
43#63905C22116yescomplemented
44D3×C4⋊Dic3C2218yescomplemented
45#63885C22116yescomplemented
46#63879C22116yescomplemented
47#63858C22116yescomplemented
48#63841C2218yescomplemented
49C2×C3×C4×D4—31no—
50C2×C3×C4×D4—31no—
51C2×#939—32no—
52C2×#938—31no—
53C2×#938—31no—
54C2×#930—31no—
55C2×#930—31no—
56C2×#929—32no—
57C2×C4×#67—32no—
58C2×#926—31no—
59C22×C4⋊Dic3—31no—
60#5565—316no—
61#5558—316no—
62C2×#898—32no—
63C2×#892—31no—
64C2×D3×C4⋊C4—31no—
65C2×#884—32no—
66C2×#883—32no—
67C2×#67⋊C4—32no—
68C2×#879—32no—
69C2×C4×D12D311yescharacteristic, complemented
70C2×C4×D12D311yescharacteristic, complemented
71C2×#870—31no—
72C2×#870—31no—
73C2×#870—61no—
74C23×C3×D3C2312yes—
75C23×C3×D3C2311yescharacteristic
76C23×C3×D3C2311yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3C2312yes—
81C22×C3⋊Dic3C2312yes—
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2311yescharacteristic
84C22×C3×Dic3C2311yescharacteristic
85C2×C3×D12—24no—
86C2×C3×D12—24no—
87C2×C3×D12C2314yes—
88C2×C3×D12C2314yes—
89C2×C3×C4×D3—24no—
90C2×C3×C4×D3—24no—
91C2×C3×C4×D3—44no—
92C2×C3×C4×D3C2314yes—
93C2×C3×C4×D3C2314yes—
94C2×C3×C4×D3C2318yes—
95C2×#625—28no—
96C2×#625—44no—
97C2×#625C2318yes—
98C2×#625C2318yes—
99C2×D3×Dic3—44no—
100C2×D3×Dic3C2318yes—
101C32×C42C2314yes—
102C4⋊(C3⋊Dic3)C2314yes—
103C4⋊(C3⋊Dic3)C2314yes—
104#3750C2318yes—
105#3750C2318yes—
106C3×(C2×D3)⋊C4C2318yes—
107C3×(C2×D3)⋊C4C2314yes—
108C3×(C2×D3)⋊C4C2314yes—
109C3×C4⋊Dic3C2314yes—
110C3×C4⋊Dic3C2314yes—
111Dic3⋊Dic3C2318yes—
112(C2×D3)⋊Dic3C2318yes—
113(C2×D3)⋊Dic3C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115Dic32C2318yes—
116C2×#553—91noSylow
117C22×C3×D4—31no—
118C22×C3×D4—31no—
119C23×C3×C4—31no—
120C23×C3×C4—31no—
121C23×C3×C4—32no—
122C22×#67—32no—
123C22×#67—32no—
124C22×#67—32no—
125C22×#67—32no—
126C23×Dic3—32no—
127C22×D12C2×D311yescharacteristic
128C22×D12C2×D311yescharacteristic
129C22×C4×D3—32no—
130C22×C4×D3C2×D311yescharacteristic
131C22×C4×D3C2×D311yescharacteristic
132C22×C4×D3C2×D312yes—
133C3×C4×D4—38no—
134C3×C4×D4—38no—
135C2×C3×C4⋊C4—31no—
136C2×C3×C4⋊C4—31no—
137C2×C3×C22⋊C4—32no—
138C2×C3×C22⋊C4—31no—
139C2×C3×C22⋊C4—31no—
140C2×C3×C42—21no—
141C2×C3×C42C2×D311yescharacteristic
142C2×C3×C42C2×D311yescharacteristic
143C2×#217—32no—
144C2×#217—32no—
145C2×#217—32no—
146#939—316no—
147#938—38no—
148#938—38no—
149#930—38no—
150#930—38no—
151#929—316no—
152C4×#67—316no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4C2×D312yes—
157C2×(C2×D3)⋊C4C2×D311yescharacteristic
158C2×(C2×D3)⋊C4C2×D311yescharacteristic
159#926—38no—
160C2×C4⋊Dic3—31no—
161C2×C4⋊Dic3—31no—
162C2×C4⋊Dic3—31no—
163C2×C4⋊Dic3—31no—
164C2×C4⋊Dic3—32no—
165C2×C4⋊Dic3—38no—
166C2×C4⋊Dic3—61no—
167C2×C4⋊Dic3—61no—
168C2×C4⋊Dic3C2×D311yescharacteristic
169C2×C4⋊Dic3C2×D311yescharacteristic
170C2×Dic3⋊C4—32no—
171C2×Dic3⋊C4—32no—
172C2×Dic3⋊C4—32no—
173C2×Dic3⋊C4—32no—
174C2×Dic3⋊C4—32no—
175C2×Dic3⋊C4—62no—
176C2×Dic3⋊C4—62no—
177C2×C4×Dic3—32no—
178C2×C4×Dic3—32no—
179#898—316no—
180#892—38no—
181D3×C4⋊C4—38no—
182#884—316no—
183#883—316no—
184#67⋊C4—316no—
185#879—316no—
186C4×D12C2×D318yescomplemented
187C4×D12C2×D318yescomplemented
188#870—38no—
189#870—38no—
190#870—68no—
191C23×C32C2411yescharacteristic
192C22×C3×D3—22no—
193C22×C3×D3—22no—
194C22×C3×D3—24no—
195C22×C3×D3—22no—
196C22×C3×D3—24no—
197C22×C3×D3—22no—
198C22×C3×D3—22no—
199C22×C3×D3—24no—
200C22×C3×D3#4114yes—
201C22×C3×D3C2414yes—
202C22×C3×D3C2412yes—
203C22×C3×D3C2412yes—
204C2×C32×C4—22no—
205C2×C32×C4—22no—
206C2×C32×C4#4114yes—
207C2×C32×C4C2412yes—
208C2×C32×C4C2412yes—
209C2×C32×C4C2412yes—
210C2×C3⋊Dic3—24no—
211C2×C3⋊Dic3—24no—
212C2×C3⋊Dic3C2414yes—
213C2×C3⋊Dic3C2414yes—
214C2×C3×Dic3—22no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—24no—
217C2×C3×Dic3C2412yes—
218C2×C3×Dic3C2414yes—
219C2×C3×Dic3C2412yes—
220C3×D12—28no—
221C3×D12—28no—
222C3×C4×D3—28no—
223C3×C4×D3—28no—
224C3×C4×D3—48no—
225#625—216no—
226#625—48no—
227D3×Dic3—48no—
228#553—916no—
229C2×#126—92no—
230C2×#125—91no—
231C2×#123—92no—
232C2×#121—92no—
233C2×#121—91no—
234C2×#121—91no—
235C2×C4×D4—31no—
236C2×C4×D4—31no—
237C2×C4×D4—92no—
238C2×#117—91no—
239C22×C4⋊C4—91no—
240C24×C3—31no—
241C24×C3—32no—
242C24×C3—31no—
243C23×D3C22×D311yescharacteristic
244C23×D3C22×D312yes—
245C23×D3C22×D311yescharacteristic
246C2×C3×D4—34no—
247C2×C3×D4—34no—
248C2×C3×D4—64no—
249C2×C3×D4—64no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—21no—
253C22×C3×C4—31no—
254C22×C3×C4—32no—
255C22×C3×C4—31no—
256C22×C3×C4—34no—
257C22×C3×C4—34no—
258C22×C3×C4—38no—
259C22×C3×C4—64no—
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—68no—
273C2×#67—68no—
274C2×#67—124no—
275C2×#67—124no—
276C22×Dic3—32no—
277C22×Dic3—32no—
278C22×Dic3—32no—
279C22×Dic3—32no—
280C22×Dic3—38no—
281C22×Dic3—62no—
282C22×Dic3—62no—
283C22×Dic3—124no—
284C22×Dic3C22×D311yescharacteristic
285C22×Dic3C22×D312yes—
286C22×Dic3C22×D311yescharacteristic
287C2×D12—24no—
288C2×D12—24no—
289C2×D12C22×D314yes—
290C2×D12C22×D314yes—
291C2×C4×D3—24no—
292C2×C4×D3—24no—
293C2×C4×D3—38no—
294C2×C4×D3—44no—
295C2×C4×D3—124no—
296C2×C4×D3C22×D314yes—
297C2×C4×D3C22×D314yes—
298C2×C4×D3C22×D318yes—
299C3×C4⋊C4—34no—
300C3×C4⋊C4—34no—
301C3×C22⋊C4—38no—
302C3×C22⋊C4—34no—
303C3×C22⋊C4—34no—
304C3×C42—24no—
305C3×C42C22×D314yes—
306C3×C42C22×D314yes—
307#217—38no—
308#217—38no—
309#217—38no—
310(C2×D3)⋊C4—38no—
311(C2×D3)⋊C4—38no—
312(C2×D3)⋊C4—38no—
313(C2×D3)⋊C4C22×D318yes—
314(C2×D3)⋊C4C22×D314yes—
315(C2×D3)⋊C4C22×D314yes—
316C4⋊Dic3—34no—
317C4⋊Dic3—34no—
318C4⋊Dic3—34no—
319C4⋊Dic3—34no—
320C4⋊Dic3—38no—
321C4⋊Dic3—64no—
322C4⋊Dic3—64no—
323C4⋊Dic3C22×D314yes—
324C4⋊Dic3C22×D314yes—
325Dic3⋊C4—38no—
326Dic3⋊C4—38no—
327Dic3⋊C4—38no—
328Dic3⋊C4—38no—
329Dic3⋊C4—38no—
330Dic3⋊C4—68no—
331Dic3⋊C4—68no—
332C4×Dic3—38no—
333C4×Dic3—38no—
334C22×C32C2×#4112yes—
335C22×C32C2×#4112yes—
336C22×C32H(5,𝔽2)12yes—
337C22×C32C2511yescharacteristic
338C2×C3×D3—28no—
339C2×C3×D3—22no—
340C2×C3×D3—22no—
341C2×C3×D3—24no—
342C2×C3×D3—22no—
343C2×C3×D3—24no—
344C2×C3×D3—22no—
345C2×C3×D3—22no—
346C2×C3×D3—24no—
347C2×C3×D3—48no—
348C2×C3×D3—44no—
349C2×C3×D3C2×#4114yes—
350C32×C4—22no—
351C32×C4—22no—
352C32×C4C2×#4114yes—
353C3⋊Dic3—24no—
354C3⋊Dic3—24no—
355C3×Dic3—22no—
356C3×Dic3—22no—
357C3×Dic3—24no—
358C22×D4—31no—
359C22×D4—31no—
360C22×D4—92no—
361C22×D4—92no—
362C23×C4—31no—
363C23×C4—31no—
364C23×C4—32no—
365C23×C4—92no—
366#126—916no—
367#125—98no—
368#123—916no—
369#121—916no—
370#121—98no—
371#121—98no—
372C4×D4—38no—
373C4×D4—38no—
374C4×D4—916no—
375#117—98no—
376C2×C4⋊C4—31no—
377C2×C4⋊C4—31no—
378C2×C4⋊C4—98no—
379C2×C4⋊C4—92no—
380C2×C4⋊C4—91no—
381C2×C4⋊C4—91no—
382C2×C4⋊C4—92no—
383C2×C4⋊C4—92no—
384C2×C22⋊C4—31no—
385C2×C22⋊C4—32no—
386C2×C22⋊C4—31no—
387C2×C22⋊C4—92no—
388C2×C22⋊C4—92no—
389C2×C22⋊C4—92no—
390C2×C42—92no—
391C2×C42D3211yescharacteristic
392C23×C3—21no—
393C23×C3—34no—
394C23×C3—32no—
395C23×C3—34no—
396C23×C3—32no—
397C23×C3—62no—
398C23×C3—62no—
399C23×C3—64no—
400C23×C3—62no—
401C23×C3—64no—
402C23×C3—62no—
403C23×C3—62no—
404C23×C3—64no—
405C23×C3C23×D311yescharacteristic
406C23×C3C23×D311yescharacteristic
407C22×D3—22no—
408C22×D3—22no—
409C22×D3—24no—
410C22×D3—22no—
411C22×D3—22no—
412C22×D3—24no—
413C22×D3—24no—
414C22×D3—22no—
415C22×D3#23514yes—
416C22×D3C23×D312yes—
417C22×D3C23×D314yes—
418C22×D3C23×D312yes—
419C3×D4—68no—
420C3×D4—68no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—22no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—24no—
429C2×C3×C4—32no—
430C2×C3×C4—34no—
431C2×C3×C4—32no—
432C2×C3×C4—42no—
433C2×C3×C4—42no—
434C2×C3×C4—62no—
435C2×C3×C4—62no—
436C2×C3×C4—64no—
437C2×C3×C4—68no—
438C2×C3×C4—68no—
439C2×C3×C4—128no—
440C2×C3×C4#23514yes—
441C2×C3×C4#23714yes—
442C2×C3×C4C23×D312yes—
443C2×C3×C4C23×D312yes—
444C2×C3×C4C23×D312yes—
445C2×C3×C4C23×D312yes—
446C2×C3×C4C23×D312yes—
447C2×C3×C4C23×D312yes—
448#67—616no—
449#67—616no—
450#67—128no—
451#67—128no—
452C2×Dic3—22no—
453C2×Dic3—22no—
454C2×Dic3—24no—
455C2×Dic3—34no—
456C2×Dic3—34no—
457C2×Dic3—34no—
458C2×Dic3—34no—
459C2×Dic3—64no—
460C2×Dic3—64no—
461C2×Dic3—64no—
462C2×Dic3—64no—
463C2×Dic3—64no—
464C2×Dic3—64no—
465C2×Dic3—124no—
466C2×Dic3—124no—
467C2×Dic3—128no—
468C2×Dic3C23×D312yes—
469C2×Dic3C23×D314yes—
470C2×Dic3C23×D312yes—
471D12—28no—
472D12—28no—
473C4×D3—28no—
474C4×D3—28no—
475C4×D3—48no—
476C4×D3—128no—
477C2×C32#55314yescomplemented
478C2×C32C22×#4111yescharacteristic
479C2×C32C22×#4111yescharacteristic
480C2×C32C2×H(5,𝔽2)11yescharacteristic
481C3×D3—24no—
482C3×D3—44no—
483C3×D3—42no—
484C24—31no—
485C24—31no—
486C24—32no—
487C2×D4—34no—
488C2×D4—34no—
489C2×D4—64no—
490C2×D4—64no—
491C2×D4—98no—
492C2×D4—98no—
493C2×D4—188no—
494C2×D4—364no—
495C22×C4—31no—
496C22×C4—32no—
497C22×C4—31no—
498C22×C4—34no—
499C22×C4—34no—
500C22×C4—38no—
501C22×C4—64no—
502C22×C4—64no—
503C22×C4—98no—
504C22×C4—92no—
505C22×C4—92no—
506C22×C4—124no—
507C22×C4—364no—
508C22×C4C2×D3211yescharacteristic
509C22×C4C2×D3211yescharacteristic
510C22×C4C2×D3211yescharacteristic
511C4⋊C4—34no—
512C4⋊C4—34no—
513C4⋊C4—98no—
514C4⋊C4—94no—
515C4⋊C4—94no—
516C4⋊C4—98no—
517C4⋊C4—98no—
518C22⋊C4—34no—
519C22⋊C4—38no—
520C22⋊C4—34no—
521C22⋊C4—98no—
522C22⋊C4—98no—
523C22⋊C4—98no—
524C42—98no—
525C42C2×D3214yes—
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—22no—
529C22×C3—21no—
530C22×C3—34no—
531C22×C3—62no—
532C22×C3—62no—
533C22×C3—68no—
534C22×C3—64no—
535C22×C3—62no—
536C22×C3—64no—
537C22×C3—62no—
538C22×C3—62no—
539C22×C3—64no—
540C22×C3—124no—
541C22×C3—128no—
542C22×C3C2×#23512yes—
543C22×C3C2×#23512yes—
544C22×C3C2×#23712yes—
545C22×C3#100412yes—
546C22×C3D3×#4112yes—
547C22×C3#100912yes—
548C22×C3C24×D311yescharacteristic
549C22×C3C24×D311yescharacteristic
550C2×D3—22no—
551C2×D3—22no—
552C2×D3—28no—
553C2×D3—24no—
554C2×D3—22no—
555C2×D3—22no—
556C2×D3—24no—
557C2×D3—24no—
558C2×D3—22no—
559C2×D3—48no—
560C2×D3—44no—
561C2×D3C2×#23514yes—
562C3×C4—22no—
563C3×C4—22no—
564C3×C4—22no—
565C3×C4—22no—
566C3×C4—24no—
567C3×C4—42no—
568C3×C4—42no—
569C3×C4—62no—
570C3×C4—62no—
571C3×C4—64no—
572C3×C4C2×#23514yes—
573C3×C4C2×#23714yes—
574Dic3—22no—
575Dic3—22no—
576Dic3—24no—
577Dic3—64no—
578Dic3—64no—
579Dic3—64no—
580Dic3—64no—
581Dic3—124no—
582Dic3—124no—
583C32C2×#55311yescharacteristic, complemented, Sylow
584C23—34no—
585C23—32no—
586C23—32no—
587C23—34no—
588C23—62no—
589C23—62no—
590C23—62no—
591C23—64no—
592C23—62no—
593C23—64no—
594C23—64no—
595C23—62no—
596C23C22×D3211yescharacteristic
597D4—68no—
598D4—68no—
599D4—1816no—
600D4—368no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—32no—
604C2×C4—34no—
605C2×C4—32no—
606C2×C4—62no—
607C2×C4—62no—
608C2×C4—64no—
609C2×C4—68no—
610C2×C4—68no—
611C2×C4—94no—
612C2×C4—94no—
613C2×C4—128no—
614C2×C4—184no—
615C2×C4—184no—
616C2×C4—368no—
617C2×C4#379514yes—
618C2×C4C22×D3212yes—
619C2×C4C22×D3212yes—
620C2×C4C22×D3212yes—
621C2×C3—21no—
622C2×C3—21no—
623C2×C3—21no—
624C2×C3—24no—
625C2×C3—64no—
626C2×C3—122no—
627C2×C3—124no—
628C2×C3#555814yescomplemented
629C2×C3#556514yescomplemented
630C2×C3C22×#23511yescharacteristic
631C2×C3C22×#23511yescharacteristic
632C2×C3C22×#23711yescharacteristic
633C2×C3C2×#100411yescharacteristic
634C2×C3C2×D3×#4111yescharacteristic
635C2×C3C2×#100911yescharacteristic
636D3—24no—
637D3—44no—
638D3—42no—
639C22—34no—
640C22—62no—
641C22—62no—
642C22—68no—
643C22—62no—
644C22—64no—
645C22—62no—
646C22—64no—
647C22—64no—
648C22—62no—
649C22—124no—
650C22—128no—
651C22C2×#379512yes—
652C22D3×#23512yes—
653C22#6430712yes—
654C22C23×D3211yescharacteristic
655C4—22no—
656C4—22no—
657C4—62no—
658C4—62no—
659C4—64no—
660C4—184no—
661C4—184no—
662C4C2×#379514yes—
663C3—21no—
664C3C2×#556511yescharacteristic, complemented
665C3C2×#555811yescharacteristic, complemented
666C2—64no—
667C2—122no—
668C2—124no—
669C2#1059392314yesdirect product factor
670C2C22×#379511yescharacteristic
671C2C2×D3×#23511yescharacteristic
672C2C2×#6430711yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C42C22
socleC23×C32C24
hypercenterC2×C42D32
hypocenterC32C2×#553
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×#64079C2semidirect
2. C2×C3×C4×D12C2semidirect
3. C2×C3×C4×D12C2semidirect
4. C2×#63908C2semidirect
5. C2×#63908C2semidirect
6. C2×#63905C2semidirect
7. C2×D3×C4⋊Dic3C2semidirect
8. C2×#63885C2semidirect
9. C2×#63879C2semidirect
10. C2×#63858C2semidirect
11. C2×#63841C2semidirect
12. #10593923C2direct (N × H)
28. #64079C22semidirect
34. C3×C4×D12C22semidirect
35. C3×C4×D12C22semidirect
41. #63908C22semidirect
42. #63908C22semidirect
43. #63905C22semidirect
44. D3×C4⋊Dic3C22semidirect
45. #63885C22semidirect
46. #63879C22semidirect
47. #63858C22semidirect
48. #63841C22semidirect
69. C2×C4×D12D3semidirect
70. C2×C4×D12D3semidirect
186. C4×D12C2×D3semidirect
187. C4×D12C2×D3semidirect
477. C2×C32#553semidirect
583. C32C2×#553semidirect
628. C2×C3#5558semidirect
629. C2×C3#5565semidirect
664. C3C2×#5565semidirect
665. C3C2×#5558semidirect
669. C2#10593923direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#640792
C2×C3×C4×D122
C2×#639082
C2×#639052
C2×D3×C4⋊Dic32
C2×#638852
C2×#638792
C2×#638582
C2×#638412
#105939232
C2×#55583
C2×#55653