Finite Group Databasebeta

← C2×#10594989 #11903170

Subgroups — C2×#10594989 #11903170

Order 1152.

2717 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#638C211yesmaximal, characteristic, complemented
2C2×C3×#930C211yesmaximal, characteristic, complemented
3C22×C3×C4⋊Dic3C211yesmaximal, characteristic, complemented
4C2×#63978C212yesmaximal, complemented
5C2×Dic3×#67C212yesmaximal, complemented
6C2×#63916C211yesmaximal, characteristic, complemented
7#10594989C2116yesmaximal, direct product factor
8C2×#63898C211yesmaximal, characteristic, complemented
9C2×#63890C212yesmaximal, complemented
10C2×#63872C211yesmaximal, characteristic, complemented
11C2×#63858C212yesmaximal, complemented
12C2×#63849C211yesmaximal, characteristic, complemented
13C2×#5618—31nomaximal
14C2×#5514—31nomaximal
15C23×C32×C4C2211yescharacteristic
16C22×#638C2211yescharacteristic
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×#67C2212yes—
19C23×C3×Dic3C2212yes—
20C22×C3×D12C2211yescharacteristic
21C22×#626C2212yes—
22C22×D3×Dic3C2212yes—
23C2×#3757C2211yescharacteristic
24C4×#638C2218yescomplemented
25C2×#3752C2211yescharacteristic
26C2×#3750C2211yescharacteristic
27C2×C4×C3⋊Dic3C2211yescharacteristic
28C3×#930C2218yescomplemented
29C2×C3×(C2×D3)⋊C4C2212yes—
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4⋊Dic3C2212yes—
33C2×C3×C4⋊Dic3C2211yescharacteristic
34C2×C3×C4⋊Dic3C2218yescomplemented
35#63978C22116yescomplemented
36Dic3×#67C22116yescomplemented
37C2×Dic3⋊Dic3C2212yes—
38C2×Dic3⋊Dic3C2212yes—
39C2×#3722C2212yes—
40C2×(C2×D3)⋊Dic3C2212yes—
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×Dic32C2212yes—
43#63916C2218yescomplemented
44#63898C2218yescomplemented
45#63890C22116yescomplemented
46#63872C2218yescomplemented
47#63858C22116yescomplemented
48#63849C2218yescomplemented
49C2×C3×#121—31no—
50C22×C3×C4⋊C4—31no—
51C2×#939—32no—
52C2×#938—31no—
53C2×D4×Dic3—32no—
54C2×D4×Dic3—31no—
55C2×#930—32no—
56C2×#930D311yescharacteristic, complemented
57C2×C4×#67—31no—
58C2×C4×#67—31no—
59C2×C4×#67—32no—
60C2×C4×#67—61no—
61C22×C4⋊Dic3D311yescharacteristic, complemented
62#5618—316no—
63#5514—316no—
64C2×#898—32no—
65C2×#895—31no—
66C2×#894—32no—
67C2×#893—31no—
68C2×#892—31no—
69C2×#892—31no—
70C2×#890—31no—
71C2×#890—31no—
72C2×#886—32no—
73C2×#879—32no—
74C24×C32C2311yescharacteristic
75C23×C3⋊D3C2311yescharacteristic
76C23×C3×D3C2312yes—
77C22×C32×C4—24no—
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C2×#638—24no—
82C2×#638C2314yes—
83C22×C3⋊Dic3C2311yescharacteristic
84C22×C3⋊Dic3C2311yescharacteristic
85C22×C3⋊Dic3C2311yescharacteristic
86C2×C4×C3⋊D3—24no—
87C2×C4×C3⋊D3C2314yes—
88C2×C3×#67—28no—
89C2×C3×#67C2318yes—
90C22×C3×Dic3—44no—
91C22×C3×Dic3C2312yes—
92C22×C3×Dic3C2312yes—
93C22×C3×Dic3C2312yes—
94C22×C3×Dic3C2318yes—
95C2×C3×D12—24no—
96C2×C3×D12C2314yes—
97C2×#626—44no—
98C2×#626C2318yes—
99C2×D3×Dic3—44no—
100C2×D3×Dic3C2318yes—
101#3757C2314yes—
102#3752C2314yes—
103#3750C2314yes—
104C4×C3⋊Dic3C2314yes—
105C3×(C2×D3)⋊C4C2318yes—
106C3×C4⋊Dic3C2314yes—
107C3×C4⋊Dic3C2318yes—
108C3×C4⋊Dic3C2314yes—
109C3×C4⋊Dic3C2314yes—
110Dic3⋊Dic3C2318yes—
111Dic3⋊Dic3C2318yes—
112#3722C2318yes—
113(C2×D3)⋊Dic3C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115Dic32C2318yes—
116C2×#553—91noSylow
117C22×C3×D4—32no—
118C22×C3×D4—31no—
119C23×C3×C4—21no—
120C23×C3×C4—32no—
121C23×C3×C4C2×D311yescharacteristic
122C23×C3×C4C2×D311yescharacteristic
123C22×#67—31no—
124C22×#67—31no—
125C22×#67—32no—
126C22×#67—61no—
127C22×#67C2×D312yes—
128C23×Dic3—32no—
129C23×Dic3C2×D312yes—
130C22×D12—32no—
131C22×D12C2×D311yescharacteristic
132C22×C4×D3—31no—
133C22×C4×D3—31no—
134C22×C4×D3—32no—
135C22×C4×D3—61no—
136C3×#121—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—32no—
143C2×#217—31no—
144C2×#217—31no—
145C2×#217—32no—
146C2×#217—32no—
147C2×#217—61no—
148#939—316no—
149#938—38no—
150D4×Dic3—316no—
151D4×Dic3—38no—
152#930—316no—
153#930C2×D318yescomplemented
154C4×#67—38no—
155C4×#67—38no—
156C4×#67—316no—
157C4×#67—68no—
158C2×(C2×D3)⋊C4—32no—
159C2×(C2×D3)⋊C4—32no—
160C2×(C2×D3)⋊C4—31no—
161C2×(C2×D3)⋊C4—31no—
162C2×(C2×D3)⋊C4—32no—
163C2×(C2×D3)⋊C4—32no—
164C2×(C2×D3)⋊C4—61no—
165C2×(C2×D3)⋊C4C2×D312yes—
166C2×C4⋊Dic3—32no—
167C2×C4⋊Dic3—32no—
168C2×C4⋊Dic3C2×D312yes—
169C2×C4⋊Dic3C2×D311yescharacteristic
170C2×C4⋊Dic3C2×D311yescharacteristic
171C2×C4⋊Dic3C2×D311yescharacteristic
172C2×C4⋊Dic3C2×D318yescomplemented
173C2×Dic3⋊C4—31no—
174C2×Dic3⋊C4—31no—
175C2×Dic3⋊C4—32no—
176C2×Dic3⋊C4—32no—
177C2×Dic3⋊C4—61no—
178C2×C4×Dic3—31no—
179C2×C4×Dic3—31no—
180C2×C4×Dic3—32no—
181C2×C4×Dic3—32no—
182C2×C4×Dic3—61no—
183#898—316no—
184#895—38no—
185#894—316no—
186#893—38no—
187#892—38no—
188#892—38no—
189#890—38no—
190#890—38no—
191#886—316no—
192#879—316no—
193C23×C32—22no—
194C23×C32—22no—
195C23×C32#4114yes—
196C23×C32C2412yes—
197C23×C32C2411yescharacteristic
198C22×C3⋊D3—22no—
199C22×C3⋊D3—22no—
200C22×C3⋊D3—22no—
201C22×C3⋊D3C2412yes—
202C22×C3×D3—24no—
203C22×C3×D3—24no—
204C22×C3×D3—24no—
205C22×C3×D3C2414yes—
206C2×C32×C4—22no—
207C2×C32×C4—28no—
208C2×C32×C4#4114yes—
209C2×C32×C4C2412yes—
210C2×C32×C4C2412yes—
211#638—28no—
212C2×C3⋊Dic3—22no—
213C2×C3⋊Dic3—22no—
214C2×C3⋊Dic3—22no—
215C2×C3⋊Dic3C2412yes—
216C2×C3⋊Dic3C2412yes—
217C2×C3⋊Dic3C2412yes—
218C4×C3⋊D3—28no—
219C3×#67—216no—
220C2×C3×Dic3—24no—
221C2×C3×Dic3—24no—
222C2×C3×Dic3—24no—
223C2×C3×Dic3—48no—
224C2×C3×Dic3C2414yes—
225C2×C3×Dic3C2414yes—
226C2×C3×Dic3C2414yes—
227C3×D12—28no—
228#626—48no—
229D3×Dic3—48no—
230#553—916no—
231C2×#126—92no—
232C2×#125—91no—
233C2×#123—92no—
234C2×#121—31no—
235C2×#121—91no—
236C2×#121—92no—
237C2×C4×D4—91no—
238C2×C4×D4—92no—
239C2×C4×D4—91no—
240C2×#117—91no—
241C22×C4⋊C4—31no—
242C24×C3—21no—
243C24×C3—32no—
244C24×C3C22×D311yescharacteristic
245C24×C3C22×D311yescharacteristic
246C23×D3—31no—
247C23×D3—31no—
248C23×D3—61no—
249C23×D3C22×D312yes—
250C2×C3×D4—38no—
251C2×C3×D4—34no—
252C2×C3×D4—68no—
253C2×C3×D4—64no—
254C22×C3×C4—24no—
255C22×C3×C4—24no—
256C22×C3×C4—21no—
257C22×C3×C4—21no—
258C22×C3×C4—24no—
259C22×C3×C4—32no—
260C22×C3×C4—32no—
261C22×C3×C4—32no—
262C22×C3×C4—38no—
263C22×C3×C4—44no—
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—28no—
272C2×#67—34no—
273C2×#67—34no—
274C2×#67—38no—
275C2×#67—64no—
276C2×#67—68no—
277C2×#67—64no—
278C2×#67—64no—
279C2×#67—124no—
280C2×#67C22×D318yes—
281C22×Dic3—31no—
282C22×Dic3—31no—
283C22×Dic3—31no—
284C22×Dic3—31no—
285C22×Dic3—31no—
286C22×Dic3—31no—
287C22×Dic3—38no—
288C22×Dic3—44no—
289C22×Dic3—61no—
290C22×Dic3—61no—
291C22×Dic3—61no—
292C22×Dic3—124no—
293C22×Dic3C22×D312yes—
294C22×Dic3C22×D312yes—
295C22×Dic3C22×D312yes—
296C22×Dic3C22×D318yes—
297C2×D12—24no—
298C2×D12—38no—
299C2×D12—124no—
300C2×D12C22×D314yes—
301C2×C4×D3—34no—
302C2×C4×D3—34no—
303C2×C4×D3—38no—
304C2×C4×D3—64no—
305C2×C4×D3—64no—
306C2×C4×D3—64no—
307C2×C4×D3—124no—
308C2×C4×D3—124no—
309C3×C4⋊C4—34no—
310C3×C4⋊C4—34no—
311C3×C4⋊C4—34no—
312C3×C4⋊C4—38no—
313C3×C22⋊C4—38no—
314#217—34no—
315#217—34no—
316#217—38no—
317#217—38no—
318#217—64no—
319(C2×D3)⋊C4—38no—
320(C2×D3)⋊C4—38no—
321(C2×D3)⋊C4—34no—
322(C2×D3)⋊C4—34no—
323(C2×D3)⋊C4—38no—
324(C2×D3)⋊C4—38no—
325(C2×D3)⋊C4—64no—
326(C2×D3)⋊C4C22×D318yes—
327C4⋊Dic3—38no—
328C4⋊Dic3—38no—
329C4⋊Dic3C22×D318yes—
330C4⋊Dic3C22×D314yes—
331C4⋊Dic3C22×D314yes—
332C4⋊Dic3C22×D314yes—
333Dic3⋊C4—34no—
334Dic3⋊C4—34no—
335Dic3⋊C4—38no—
336Dic3⋊C4—38no—
337Dic3⋊C4—64no—
338C4×Dic3—34no—
339C4×Dic3—34no—
340C4×Dic3—38no—
341C4×Dic3—38no—
342C4×Dic3—64no—
343C22×C32—28no—
344C22×C32—22no—
345C22×C32—22no—
346C22×C32C2×#4112yes—
347C22×C32C2×#4114yes—
348C22×C32C2×#4112yes—
349C22×C32H(5,𝔽2)12yes—
350C22×C32C2511yescharacteristic
351C2×C3⋊D3—22no—
352C2×C3⋊D3—22no—
353C2×C3⋊D3—22no—
354C2×C3⋊D3—44no—
355C2×C3×D3—24no—
356C2×C3×D3—24no—
357C2×C3×D3—24no—
358C2×C3×D3—48no—
359C32×C4—22no—
360C32×C4C2×#4114yes—
361C3⋊Dic3—22no—
362C3⋊Dic3—22no—
363C3⋊Dic3—22no—
364C3×Dic3—24no—
365C3×Dic3—24no—
366C3×Dic3—24no—
367C22×D4—32no—
368C22×D4—31no—
369C22×D4—92no—
370C22×D4—91no—
371C23×C4—32no—
372C23×C4—92no—
373C23×C4—91no—
374C23×C4D3211yescharacteristic
375#126—916no—
376#125—98no—
377#123—916no—
378#121—38no—
379#121—98no—
380#121—916no—
381C4×D4—98no—
382C4×D4—916no—
383C4×D4—98no—
384#117—98no—
385C2×C4⋊C4—31no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—32no—
388C2×C4⋊C4—38no—
389C2×C4⋊C4—31no—
390C2×C4⋊C4—92no—
391C2×C4⋊C4—92no—
392C2×C4⋊C4—91no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—92no—
396C2×C22⋊C4—92no—
397C2×C22⋊C4—91no—
398C2×C22⋊C4—91no—
399C2×C42—92no—
400C2×C42—91no—
401C23×C3—22no—
402C23×C3—22no—
403C23×C3—22no—
404C23×C3—22no—
405C23×C3—22no—
406C23×C3—21no—
407C23×C3—24no—
408C23×C3—34no—
409C23×C3—42no—
410C23×C3—42no—
411C23×C3—64no—
412C23×C3—64no—
413C23×C3—64no—
414C23×C3#23714yes—
415C23×C3#23914yes—
416C23×C3C23×D312yes—
417C23×C3C23×D312yes—
418C23×C3C23×D311yescharacteristic
419C23×C3C23×D311yescharacteristic
420C22×D3—24no—
421C22×D3—24no—
422C22×D3—24no—
423C22×D3—32no—
424C22×D3—32no—
425C22×D3—62no—
426C22×D3—64no—
427C22×D3—62no—
428C22×D3—62no—
429C22×D3—62no—
430C22×D3—62no—
431C22×D3—62no—
432C22×D3—62no—
433C22×D3—122no—
434C22×D3—122no—
435C22×D3C23×D314yes—
436C3×D4—616no—
437C3×D4—68no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—28no—
441C2×C3×C4—28no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4—24no—
445C2×C3×C4—34no—
446C2×C3×C4—34no—
447C2×C3×C4—34no—
448C2×C3×C4—48no—
449C2×C3×C4—42no—
450C2×C3×C4—64no—
451C2×C3×C4—64no—
452C2×C3×C4—64no—
453C2×C3×C4—128no—
454C2×C3×C4#23514yes—
455C2×C3×C4#23714yes—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458C2×C3×C4C23×D312yes—
459C2×C3×C4C23×D312yes—
460#67—216no—
461#67—616no—
462#67—68no—
463#67—68no—
464#67—128no—
465C2×Dic3—24no—
466C2×Dic3—24no—
467C2×Dic3—24no—
468C2×Dic3—32no—
469C2×Dic3—32no—
470C2×Dic3—32no—
471C2×Dic3—32no—
472C2×Dic3—32no—
473C2×Dic3—32no—
474C2×Dic3—48no—
475C2×Dic3—62no—
476C2×Dic3—62no—
477C2×Dic3—62no—
478C2×Dic3—64no—
479C2×Dic3—62no—
480C2×Dic3—62no—
481C2×Dic3—62no—
482C2×Dic3—62no—
483C2×Dic3—62no—
484C2×Dic3—62no—
485C2×Dic3—122no—
486C2×Dic3—122no—
487C2×Dic3—128no—
488C2×Dic3C23×D314yes—
489C2×Dic3C23×D314yes—
490C2×Dic3C23×D314yes—
491D12—28no—
492D12—128no—
493C4×D3—68no—
494C4×D3—68no—
495C4×D3—128no—
496C4×D3—128no—
497C2×C32—24no—
498C2×C32#55314yescomplemented
499C2×C32C22×#4111yescharacteristic
500C2×C32C22×#4111yescharacteristic
501C2×C32C2×H(5,𝔽2)11yescharacteristic
502C3⋊D3—42no—
503C3×D3—44no—
504C24—32no—
505C24—91no—
506C24C2×D3211yescharacteristic
507C2×D4—38no—
508C2×D4—34no—
509C2×D4—68no—
510C2×D4—64no—
511C2×D4—98no—
512C2×D4—94no—
513C2×D4—184no—
514C2×D4—364no—
515C22×C4—24no—
516C22×C4—32no—
517C22×C4—32no—
518C22×C4—32no—
519C22×C4—38no—
520C22×C4—98no—
521C22×C4—91no—
522C22×C4—91no—
523C22×C4—91no—
524C22×C4—94no—
525C22×C4—124no—
526C22×C4—184no—
527C22×C4—364no—
528C22×C4C2×D3214yes—
529C22×C4C2×D3211yescharacteristic
530C22×C4C2×D3211yescharacteristic
531C4⋊C4—34no—
532C4⋊C4—34no—
533C4⋊C4—38no—
534C4⋊C4—34no—
535C4⋊C4—98no—
536C4⋊C4—98no—
537C4⋊C4—94no—
538C22⋊C4—38no—
539C22⋊C4—98no—
540C22⋊C4—98no—
541C22⋊C4—98no—
542C22⋊C4—94no—
543C22⋊C4—94no—
544C42—98no—
545C42—94no—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3—22no—
549C22×C3—22no—
550C22×C3—28no—
551C22×C3—28no—
552C22×C3—22no—
553C22×C3—24no—
554C22×C3—22no—
555C22×C3—22no—
556C22×C3—21no—
557C22×C3—42no—
558C22×C3—42no—
559C22×C3—48no—
560C22×C3—64no—
561C22×C3—64no—
562C22×C3—64no—
563C22×C3—128no—
564C22×C3C2×#23512yes—
565C22×C3C2×#23714yes—
566C22×C3C2×#23712yes—
567C22×C3C2×#23712yes—
568C22×C3#100412yes—
569C22×C3C2×#23914yes—
570C22×C3C2×#23912yes—
571C22×C3#100912yes—
572C22×C3C24×D311yescharacteristic
573C22×C3C24×D311yescharacteristic
574C2×D3—24no—
575C2×D3—24no—
576C2×D3—24no—
577C2×D3—48no—
578C2×D3—64no—
579C2×D3—62no—
580C2×D3—62no—
581C2×D3—62no—
582C2×D3—62no—
583C2×D3—62no—
584C2×D3—62no—
585C2×D3—122no—
586C2×D3—122no—
587C2×D3—128no—
588C2×D3—124no—
589C2×D3—124no—
590C3×C4—22no—
591C3×C4—22no—
592C3×C4—24no—
593C3×C4—42no—
594C3×C4—64no—
595C3×C4—64no—
596C3×C4—64no—
597C3×C4C2×#23514yes—
598C3×C4C2×#23714yes—
599Dic3—24no—
600Dic3—24no—
601Dic3—24no—
602Dic3—64no—
603Dic3—62no—
604Dic3—62no—
605Dic3—62no—
606Dic3—62no—
607Dic3—62no—
608Dic3—62no—
609Dic3—122no—
610Dic3—122no—
611C32C2×#55311yescharacteristic, complemented, Sylow
612C23—22no—
613C23—22no—
614C23—34no—
615C23—64no—
616C23—64no—
617C23—64no—
618C23—92no—
619C23—182no—
620C23—182no—
621C23—182no—
622C23#379614yes—
623C23C22×D3212yes—
624C23C22×D3211yescharacteristic
625D4—616no—
626D4—68no—
627D4—188no—
628D4—368no—
629C2×C4—22no—
630C2×C4—28no—
631C2×C4—34no—
632C2×C4—34no—
633C2×C4—34no—
634C2×C4—64no—
635C2×C4—64no—
636C2×C4—64no—
637C2×C4—92no—
638C2×C4—92no—
639C2×C4—92no—
640C2×C4—128no—
641C2×C4—182no—
642C2×C4—182no—
643C2×C4—182no—
644C2×C4—188no—
645C2×C4—368no—
646C2×C4#380414yes—
647C2×C4C22×D3212yes—
648C2×C4C22×D3212yes—
649C2×C3—24no—
650C2×C3—24no—
651C2×C3—21no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—24no—
655C2×C3—44no—
656C2×C3—124no—
657C2×C3#551414yescomplemented
658C2×C3#561814yescomplemented
659C2×C3C22×#23511yescharacteristic
660C2×C3C22×#23711yescharacteristic
661C2×C3C22×#23711yescharacteristic
662C2×C3C2×#100411yescharacteristic
663C2×C3C22×#23911yescharacteristic
664C2×C3C2×#100911yescharacteristic
665D3—44no—
666D3—124no—
667D3—122no—
668D3—122no—
669C22—22no—
670C22—22no—
671C22—28no—
672C22—64no—
673C22—64no—
674C22—64no—
675C22—128no—
676C22—182no—
677C22—182no—
678C22—182no—
679C22—364no—
680C22C2×#379614yes—
681C22C2×#379612yes—
682C22#6430712yes—
683C22C2×#380412yes—
684C22C23×D3211yescharacteristic
685C4—22no—
686C4—64no—
687C4—64no—
688C4—64no—
689C4—182no—
690C4—182no—
691C4—182no—
692C4C2×#380414yes—
693C3—21no—
694C3C2×#551411yescharacteristic, complemented
695C3C2×#561811yescharacteristic, complemented
696C2—24no—
697C2—124no—
698C2—362no—
699C2#1059498914yesdirect product factor
700C2C22×#379611yescharacteristic
701C2C2×#6430711yescharacteristic
702C2C22×#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×C4×#638C2semidirect
2. C2×C3×#930C2semidirect
3. C22×C3×C4⋊Dic3C2semidirect
4. C2×#63978C2semidirect
5. C2×Dic3×#67C2semidirect
6. C2×#63916C2semidirect
7. #10594989C2direct (N × H)
8. C2×#63898C2semidirect
9. C2×#63890C2semidirect
10. C2×#63872C2semidirect
11. C2×#63858C2semidirect
12. C2×#63849C2semidirect
24. C4×#638C22semidirect
28. C3×#930C22semidirect
34. C2×C3×C4⋊Dic3C22semidirect
35. #63978C22semidirect
36. Dic3×#67C22semidirect
43. #63916C22semidirect
44. #63898C22semidirect
45. #63890C22semidirect
46. #63872C22semidirect
47. #63858C22semidirect
48. #63849C22semidirect
56. C2×#930D3semidirect
61. C22×C4⋊Dic3D3semidirect
153. #930C2×D3semidirect
172. C2×C4⋊Dic3C2×D3semidirect
498. C2×C32#553semidirect
611. C32C2×#553semidirect
657. C2×C3#5514semidirect
658. C2×C3#5618semidirect
694. C3C2×#5514semidirect
695. C3C2×#5618semidirect
699. C2#10594989direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×#6382
C2×C3×#9302
C22×C3×C4⋊Dic32
C2×#639782
C2×Dic3×#672
C2×#639162
#105949892
C2×#638982
C2×#638902
C2×#638722
C2×#638582
C2×#638492
C2×#56183
C2×#55143