Finite Group Databasebeta

← C2×#10594562 #11903179

Subgroups — C2×#10594562 #11903179

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×#64104C211yesmaximal, characteristic, complemented
2C2×C3×D3×C4⋊C4C211yesmaximal, characteristic, complemented
3C2×C3×#890C211yesmaximal, characteristic, complemented
4C2×#63909C212yesmaximal, complemented
5C2×#63909C211yesmaximal, characteristic, complemented
6C2×#63904C212yesmaximal, complemented
7C2×C4×#626C211yesmaximal, characteristic, complemented
8C2×#63897C212yesmaximal, complemented
9C2×#63894C211yesmaximal, characteristic, complemented
10C2×#63849C211yesmaximal, characteristic, complemented
11C2×#63848C212yesmaximal, complemented
12#10594562C2116yesmaximal, direct product factor
13C2×#5695—31nomaximal
14C2×#5514—31nomaximal
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C4⋊(C3⋊D3)C2212yes—
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C22×C3×C4×D3C2212yes—
20C22×#626C2211yescharacteristic
21C22×#626C2212yes—
22C22×#624C2212yes—
23C2×C32×C4⋊C4C2211yescharacteristic
24C2×#3752C2212yes—
25#64104C2218yescomplemented
26C2×C3×C4⋊Dic3C2212yes—
27C2×C3×C4⋊Dic3C2211yescharacteristic
28C2×C3×C4⋊Dic3C2211yescharacteristic
29C2×C3×Dic3⋊C4C2212yes—
30C2×C3×Dic3⋊C4C2212yes—
31C2×C3×C4×Dic3C2211yescharacteristic
32C3×D3×C4⋊C4C2218yescomplemented
33C3×#890C2218yescomplemented
34C2×Dic3⋊Dic3C2211yescharacteristic
35C2×#3722C2212yes—
36C2×#3722C2212yes—
37C2×#3722C2212yes—
38C2×#3722C2211yescharacteristic
39C2×(C2×D3)⋊Dic3C2211yescharacteristic
40C2×Dic32C2212yes—
41#63909C22116yescomplemented
42#63909C2218yescomplemented
43#63904C22116yescomplemented
44C4×#626C2218yescomplemented
45#63897C22116yescomplemented
46#63894C2218yescomplemented
47#63849C2218yescomplemented
48#63848C22116yescomplemented
49C2×C3×#125—31no—
50C22×C3×C4⋊C4—31no—
51C2×#930—31no—
52C2×#930—32no—
53C2×C4×#67—32no—
54C2×C4×#67—31no—
55#5695—316no—
56#5514—316no—
57C2×#898—32no—
58C2×#898—32no—
59C2×#895—32no—
60C2×#895—31no—
61C2×#895—31no—
62C2×#895—31no—
63C2×#895—61no—
64C2×#894—32no—
65C2×#894—32no—
66C2×#893—32no—
67C2×#893—31no—
68C2×#892—31no—
69C2×#892—31no—
70C2×D3×C4⋊C4D311yescharacteristic, complemented
71C2×#890D311yescharacteristic, complemented
72C2×C4×D12—31no—
73C2×C4×D12—31no—
74C23×C3⋊D3C2312yes—
75C23×C3⋊D3C2311yescharacteristic
76C23×C3×D3C2311yescharacteristic
77C22×C32×C4C2312yes—
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3C2311yescharacteristic
80C2×C4⋊(C3⋊D3)—24no—
81C2×C4⋊(C3⋊D3)—44no—
82C2×C4⋊(C3⋊D3)C2314yes—
83C2×C4⋊(C3⋊D3)C2318yes—
84C2×C4×C3⋊D3—24no—
85C2×C4×C3⋊D3C2314yes—
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2311yescharacteristic
89C22×C3×Dic3C2312yes—
90C22×C3×Dic3C2312yes—
91C2×C3×C4×D3—24no—
92C2×C3×C4×D3—44no—
93C2×C3×C4×D3C2314yes—
94C2×C3×C4×D3C2318yes—
95C2×#626—24no—
96C2×#626—28no—
97C2×#626C2314yes—
98C2×#626C2318yes—
99C2×#624—44no—
100C2×#624C2318yes—
101C32×C4⋊C4C2314yes—
102#3752C2318yes—
103C3×C4⋊Dic3C2318yes—
104C3×C4⋊Dic3C2314yes—
105C3×C4⋊Dic3C2314yes—
106C3×Dic3⋊C4C2318yes—
107C3×Dic3⋊C4C2318yes—
108C3×C4×Dic3C2314yes—
109Dic3⋊Dic3C2314yes—
110#3722C2318yes—
111#3722C2318yes—
112#3722C2318yes—
113#3722C2314yes—
114(C2×D3)⋊Dic3C2314yes—
115Dic32C2318yes—
116C2×#553—91noSylow
117C23×C3×C4—31no—
118C23×C3×C4—32no—
119C22×#67—32no—
120C22×#67—31no—
121C22×D12—31no—
122C22×D12—32no—
123C22×D12—31no—
124C22×D12—31no—
125C22×D12—32no—
126C22×D12—32no—
127C22×D12—61no—
128C22×D12—62no—
129C22×C4×D3—31no—
130C22×C4×D3—31no—
131C22×C4×D3—32no—
132C22×C4×D3—32no—
133C22×C4×D3—61no—
134C22×C4×D3C2×D311yescharacteristic
135C22×C4×D3C2×D312yes—
136C3×#125—38no—
137C2×C3×C4⋊C4—21no—
138C2×C3×C4⋊C4—32no—
139C2×C3×C4⋊C4—32no—
140C2×C3×C4⋊C4—31no—
141C2×C3×C4⋊C4—31no—
142C2×C3×C4⋊C4—32no—
143C2×C3×C4⋊C4—38no—
144C2×C3×C4⋊C4C2×D311yescharacteristic
145C2×C3×C4⋊C4C2×D311yescharacteristic
146C2×C3×C42—31no—
147C2×#217—31no—
148#930—38no—
149#930—316no—
150C4×#67—316no—
151C4×#67—38no—
152C2×(C2×D3)⋊C4—31no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—31no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—32no—
159C2×(C2×D3)⋊C4—32no—
160C2×(C2×D3)⋊C4—31no—
161C2×(C2×D3)⋊C4—32no—
162C2×(C2×D3)⋊C4—32no—
163C2×(C2×D3)⋊C4—62no—
164C2×C4⋊Dic3—31no—
165C2×C4⋊Dic3C2×D311yescharacteristic
166C2×C4⋊Dic3C2×D311yescharacteristic
167C2×C4⋊Dic3C2×D312yes—
168C2×Dic3⋊C4—31no—
169C2×Dic3⋊C4C2×D312yes—
170C2×Dic3⋊C4C2×D312yes—
171C2×C4×Dic3—32no—
172C2×C4×Dic3—32no—
173C2×C4×Dic3C2×D311yescharacteristic
174#898—316no—
175#898—316no—
176#895—316no—
177#895—38no—
178#895—38no—
179#895—38no—
180#895—68no—
181#894—316no—
182#894—316no—
183#893—316no—
184#893—38no—
185#892—38no—
186#892—38no—
187D3×C4⋊C4C2×D318yescomplemented
188#890C2×D318yescomplemented
189C4×D12—38no—
190C4×D12—38no—
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—24no—
198C22×C3⋊D3C2412yes—
199C22×C3⋊D3C2414yes—
200C22×C3×D3—22no—
201C22×C3×D3—22no—
202C22×C3×D3#4114yes—
203C22×C3×D3C2412yes—
204C2×C32×C4—24no—
205C2×C32×C4#4114yes—
206C2×C32×C4C2414yes—
207C2×C32×C4C2412yes—
208C2×C3⋊Dic3—22no—
209C2×C3⋊Dic3C2412yes—
210C4⋊(C3⋊D3)—28no—
211C4⋊(C3⋊D3)—48no—
212C4×C3⋊D3—28no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3—24no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—24no—
218C2×C3×Dic3C2414yes—
219C2×C3×Dic3C2414yes—
220C2×C3×Dic3C2412yes—
221C2×C3×Dic3C2412yes—
222C2×C3×Dic3C2412yes—
223C3×C4×D3—28no—
224C3×C4×D3—48no—
225#626—28no—
226#626—216no—
227#624—48no—
228#553—916no—
229C2×#126—92no—
230C2×#125—31no—
231C2×#123—92no—
232C2×#121—92no—
233C2×#121—91no—
234C2×#121—91no—
235C2×C4×D4—91no—
236C2×C4×D4—91no—
237C2×C4×D4—92no—
238C2×#117—91no—
239C22×C4⋊C4—31no—
240C24×C3—31no—
241C23×D3—31no—
242C23×D3—32no—
243C23×D3—31no—
244C23×D3—32no—
245C23×D3—61no—
246C23×D3—62no—
247C23×D3C22×D311yescharacteristic
248C22×C3×C4—21no—
249C22×C3×C4—22no—
250C22×C3×C4—32no—
251C22×C3×C4—32no—
252C22×C3×C4—31no—
253C22×C3×C4—31no—
254C22×C3×C4—31no—
255C22×C3×C4—34no—
256C22×C3×C4—38no—
257C22×C3×C4—64no—
258C22×C3×C4—124no—
259C22×C3×C4C22×D312yes—
260C22×C3×C4C22×D312yes—
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C2×#67—38no—
264C2×#67—34no—
265C2×#67—68no—
266C2×#67—64no—
267C22×Dic3—31no—
268C22×Dic3—31no—
269C22×Dic3—61no—
270C22×Dic3C22×D312yes—
271C22×Dic3C22×D312yes—
272C22×Dic3C22×D311yescharacteristic
273C22×Dic3C22×D311yescharacteristic
274C22×Dic3C22×D311yescharacteristic
275C2×D12—34no—
276C2×D12—38no—
277C2×D12—34no—
278C2×D12—34no—
279C2×D12—38no—
280C2×D12—38no—
281C2×D12—64no—
282C2×D12—68no—
283C2×D12—64no—
284C2×D12—68no—
285C2×D12—64no—
286C2×D12—64no—
287C2×D12—124no—
288C2×D12—124no—
289C2×D12—124no—
290C2×D12—128no—
291C2×C4×D3—24no—
292C2×C4×D3—34no—
293C2×C4×D3—34no—
294C2×C4×D3—38no—
295C2×C4×D3—38no—
296C2×C4×D3—44no—
297C2×C4×D3—64no—
298C2×C4×D3—64no—
299C2×C4×D3—64no—
300C2×C4×D3—124no—
301C2×C4×D3—124no—
302C2×C4×D3—124no—
303C2×C4×D3C22×D314yes—
304C2×C4×D3C22×D318yes—
305C3×C4⋊C4—24no—
306C3×C4⋊C4—34no—
307C3×C4⋊C4—34no—
308C3×C4⋊C4—38no—
309C3×C4⋊C4—38no—
310C3×C4⋊C4—38no—
311C3×C4⋊C4C22×D314yes—
312C3×C4⋊C4C22×D314yes—
313C3×C42—34no—
314#217—34no—
315(C2×D3)⋊C4—34no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—38no—
318(C2×D3)⋊C4—34no—
319(C2×D3)⋊C4—38no—
320(C2×D3)⋊C4—38no—
321(C2×D3)⋊C4—38no—
322(C2×D3)⋊C4—38no—
323(C2×D3)⋊C4—34no—
324(C2×D3)⋊C4—38no—
325(C2×D3)⋊C4—38no—
326(C2×D3)⋊C4—68no—
327C4⋊Dic3—34no—
328C4⋊Dic3C22×D314yes—
329C4⋊Dic3C22×D314yes—
330C4⋊Dic3C22×D318yes—
331Dic3⋊C4—34no—
332Dic3⋊C4C22×D318yes—
333Dic3⋊C4C22×D318yes—
334C4×Dic3—38no—
335C4×Dic3—38no—
336C4×Dic3C22×D314yes—
337C22×C32C2×#4112yes—
338C22×C32C2×#4112yes—
339C22×C32H(5,𝔽2)12yes—
340C22×C32C2511yescharacteristic
341C2×C3⋊D3—22no—
342C2×C3⋊D3—22no—
343C2×C3⋊D3—24no—
344C2×C3⋊D3—22no—
345C2×C3⋊D3—24no—
346C2×C3⋊D3—24no—
347C2×C3⋊D3—44no—
348C2×C3⋊D3—48no—
349C2×C3×D3—28no—
350C2×C3×D3—22no—
351C2×C3×D3—22no—
352C2×C3×D3C2×#4114yes—
353C32×C4—24no—
354C32×C4C2×#4114yes—
355C3⋊Dic3—22no—
356C3×Dic3—24no—
357C3×Dic3—22no—
358C3×Dic3—22no—
359C3×Dic3—22no—
360C3×Dic3—24no—
361C22×D4—91no—
362C22×D4—92no—
363C22×D4—91no—
364C22×D4—92no—
365C23×C4—31no—
366C23×C4—32no—
367C23×C4—92no—
368C23×C4—91no—
369#126—916no—
370#125—38no—
371#123—916no—
372#121—916no—
373#121—98no—
374#121—98no—
375C4×D4—98no—
376C4×D4—98no—
377C4×D4—916no—
378#117—98no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—32no—
381C2×C4⋊C4—31no—
382C2×C4⋊C4—32no—
383C2×C4⋊C4—32no—
384C2×C4⋊C4—38no—
385C2×C4⋊C4—91no—
386C2×C4⋊C4D3211yescharacteristic
387C2×C22⋊C4—92no—
388C2×C22⋊C4—92no—
389C2×C22⋊C4—91no—
390C2×C22⋊C4—92no—
391C2×C22⋊C4—91no—
392C2×C22⋊C4—92no—
393C2×C42—31no—
394C2×C42—92no—
395C23×C3—21no—
396C23×C3—34no—
397C23×C3—32no—
398C23×C3—62no—
399C23×C3—62no—
400C23×C3C23×D311yescharacteristic
401C23×C3C23×D311yescharacteristic
402C22×D3—22no—
403C22×D3—22no—
404C22×D3—32no—
405C22×D3—34no—
406C22×D3—32no—
407C22×D3—34no—
408C22×D3—62no—
409C22×D3—64no—
410C22×D3—64no—
411C22×D3—62no—
412C22×D3—64no—
413C22×D3—64no—
414C22×D3—62no—
415C22×D3—62no—
416C22×D3—64no—
417C22×D3—62no—
418C22×D3—64no—
419C22×D3—62no—
420C22×D3—64no—
421C22×D3—64no—
422C22×D3—62no—
423C22×D3—122no—
424C22×D3—122no—
425C22×D3—124no—
426C22×D3—124no—
427C22×D3—124no—
428C22×D3#23914yes—
429C22×D3C23×D312yes—
430C2×C3×C4—24no—
431C2×C3×C4—24no—
432C2×C3×C4—22no—
433C2×C3×C4—24no—
434C2×C3×C4—24no—
435C2×C3×C4—34no—
436C2×C3×C4—34no—
437C2×C3×C4—32no—
438C2×C3×C4—32no—
439C2×C3×C4—32no—
440C2×C3×C4—44no—
441C2×C3×C4—62no—
442C2×C3×C4—64no—
443C2×C3×C4—62no—
444C2×C3×C4—62no—
445C2×C3×C4—64no—
446C2×C3×C4—68no—
447C2×C3×C4—128no—
448C2×C3×C4#23514yes—
449C2×C3×C4#23914yes—
450C2×C3×C4C23×D314yes—
451C2×C3×C4C23×D314yes—
452C2×C3×C4C23×D312yes—
453C2×C3×C4C23×D312yes—
454#67—616no—
455#67—68no—
456C2×Dic3—22no—
457C2×Dic3—24no—
458C2×Dic3—24no—
459C2×Dic3—22no—
460C2×Dic3—22no—
461C2×Dic3—32no—
462C2×Dic3—32no—
463C2×Dic3—62no—
464C2×Dic3—62no—
465C2×Dic3—62no—
466C2×Dic3—122no—
467C2×Dic3C23×D314yes—
468C2×Dic3C23×D314yes—
469C2×Dic3C23×D312yes—
470C2×Dic3C23×D312yes—
471C2×Dic3C23×D312yes—
472D12—68no—
473D12—616no—
474D12—68no—
475D12—68no—
476D12—128no—
477D12—128no—
478D12—128no—
479D12—1216no—
480C4×D3—28no—
481C4×D3—48no—
482C4×D3—68no—
483C4×D3—68no—
484C4×D3—128no—
485C4×D3—128no—
486C4×D3—128no—
487C2×C32#55314yescomplemented
488C2×C32C22×#4111yescharacteristic
489C2×C32C22×#4111yescharacteristic
490C2×C32C2×H(5,𝔽2)11yescharacteristic
491C3⋊D3—42no—
492C3⋊D3—44no—
493C3×D3—24no—
494C24—31no—
495C24—91no—
496C24—92no—
497C2×D4—94no—
498C2×D4—98no—
499C2×D4—94no—
500C2×D4—98no—
501C2×D4—184no—
502C2×D4—188no—
503C2×D4—184no—
504C2×D4—364no—
505C22×C4—31no—
506C22×C4—31no—
507C22×C4—32no—
508C22×C4—32no—
509C22×C4—31no—
510C22×C4—34no—
511C22×C4—38no—
512C22×C4—64no—
513C22×C4—98no—
514C22×C4—91no—
515C22×C4—94no—
516C22×C4—124no—
517C22×C4—184no—
518C22×C4—364no—
519C22×C4C2×D3212yes—
520C22×C4C2×D3211yescharacteristic
521C4⋊C4—34no—
522C4⋊C4—38no—
523C4⋊C4—34no—
524C4⋊C4—38no—
525C4⋊C4—38no—
526C4⋊C4—94no—
527C4⋊C4C2×D3214yes—
528C22⋊C4—98no—
529C22⋊C4—98no—
530C22⋊C4—94no—
531C22⋊C4—98no—
532C22⋊C4—94no—
533C22⋊C4—98no—
534C42—34no—
535C42—98no—
536C22×C3—22no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—21no—
540C22×C3—34no—
541C22×C3—68no—
542C22×C3—62no—
543C22×C3—62no—
544C22×C3C2×#23512yes—
545C22×C3#100412yes—
546C22×C3C2×#23912yes—
547C22×C3C2×#23912yes—
548C22×C3D3×#4112yes—
549C22×C3#100912yes—
550C22×C3C24×D311yescharacteristic
551C22×C3C24×D311yescharacteristic
552C2×D3—22no—
553C2×D3—22no—
554C2×D3—28no—
555C2×D3—64no—
556C2×D3—62no—
557C2×D3—64no—
558C2×D3—64no—
559C2×D3—62no—
560C2×D3—62no—
561C2×D3—64no—
562C2×D3—62no—
563C2×D3—64no—
564C2×D3—62no—
565C2×D3—64no—
566C2×D3—64no—
567C2×D3—62no—
568C2×D3—122no—
569C2×D3—122no—
570C2×D3—124no—
571C2×D3—124no—
572C2×D3—124no—
573C2×D3—128no—
574C2×D3—124no—
575C2×D3—128no—
576C2×D3—124no—
577C2×D3—128no—
578C2×D3—248no—
579C2×D3C2×#23914yes—
580C3×C4—24no—
581C3×C4—24no—
582C3×C4—24no—
583C3×C4—44no—
584C3×C4—62no—
585C3×C4—64no—
586C3×C4—62no—
587C3×C4—62no—
588C3×C4—64no—
589C3×C4C2×#23514yes—
590C3×C4C2×#23914yes—
591Dic3—22no—
592Dic3—24no—
593Dic3—24no—
594Dic3—22no—
595Dic3—22no—
596Dic3—62no—
597Dic3—62no—
598Dic3—122no—
599C32C2×#55311yescharacteristic, complemented, Sylow
600C23—34no—
601C23—32no—
602C23—62no—
603C23—62no—
604C23—92no—
605C23—94no—
606C23—182no—
607C23—184no—
608C23—184no—
609C23—182no—
610C23—182no—
611C23—184no—
612C23C22×D3211yescharacteristic
613D4—188no—
614D4—1816no—
615D4—188no—
616D4—368no—
617C2×C4—24no—
618C2×C4—32no—
619C2×C4—32no—
620C2×C4—34no—
621C2×C4—34no—
622C2×C4—32no—
623C2×C4—62no—
624C2×C4—64no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—64no—
628C2×C4—68no—
629C2×C4—92no—
630C2×C4—128no—
631C2×C4—182no—
632C2×C4—188no—
633C2×C4—368no—
634C2×C4#379914yes—
635C2×C4C22×D3214yes—
636C2×C4C22×D3212yes—
637C2×C3—24no—
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—64no—
642C2×C3#551414yescomplemented
643C2×C3#569514yescomplemented
644C2×C3C22×#23511yescharacteristic
645C2×C3C2×#100411yescharacteristic
646C2×C3C22×#23911yescharacteristic
647C2×C3C22×#23911yescharacteristic
648C2×C3C2×D3×#4111yescharacteristic
649C2×C3C2×#100911yescharacteristic
650D3—24no—
651D3—124no—
652D3—122no—
653D3—124no—
654D3—122no—
655D3—124no—
656D3—244no—
657C22—34no—
658C22—68no—
659C22—62no—
660C22—62no—
661C22—182no—
662C22—184no—
663C22—184no—
664C22—182no—
665C22—182no—
666C22—184no—
667C22—364no—
668C22—368no—
669C22C2×#379912yes—
670C22#6431412yes—
671C22D3×#23912yes—
672C22C23×D3211yescharacteristic
673C4—24no—
674C4—62no—
675C4—64no—
676C4—62no—
677C4—62no—
678C4—64no—
679C4—182no—
680C4C2×#379914yes—
681C3—21no—
682C3C2×#551411yescharacteristic, complemented
683C3C2×#569511yescharacteristic, complemented
684C2—64no—
685C2—362no—
686C2—364no—
687C2#1059456214yesdirect product factor
688C2C22×#379911yescharacteristic
689C2C2×#6431411yescharacteristic
690C2C2×D3×#23911yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#553
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#64104C2semidirect
2. C2×C3×D3×C4⋊C4C2semidirect
3. C2×C3×#890C2semidirect
4. C2×#63909C2semidirect
5. C2×#63909C2semidirect
6. C2×#63904C2semidirect
7. C2×C4×#626C2semidirect
8. C2×#63897C2semidirect
9. C2×#63894C2semidirect
10. C2×#63849C2semidirect
11. C2×#63848C2semidirect
12. #10594562C2direct (N × H)
25. #64104C22semidirect
32. C3×D3×C4⋊C4C22semidirect
33. C3×#890C22semidirect
41. #63909C22semidirect
42. #63909C22semidirect
43. #63904C22semidirect
44. C4×#626C22semidirect
45. #63897C22semidirect
46. #63894C22semidirect
47. #63849C22semidirect
48. #63848C22semidirect
70. C2×D3×C4⋊C4D3semidirect
71. C2×#890D3semidirect
187. D3×C4⋊C4C2×D3semidirect
188. #890C2×D3semidirect
487. C2×C32#553semidirect
599. C32C2×#553semidirect
642. C2×C3#5514semidirect
643. C2×C3#5695semidirect
682. C3C2×#5514semidirect
683. C3C2×#5695semidirect
687. C2#10594562direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641042
C2×C3×D3×C4⋊C42
C2×C3×#8902
C2×#639092
C2×#639042
C2×C4×#6262
C2×#638972
C2×#638942
C2×#638492
C2×#638482
#105945622
C2×#56953
C2×#55143