Finite Group Databasebeta

← C2×#10595308 #11900955

Subgroups — C2×#10595308 #11900955

Order 1152.

4649 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×C3⋊D3C211yesmaximal, characteristic, complemented
2C22×#3811C211yesmaximal, characteristic, complemented
3C2×C3×#939C212yesmaximal, complemented
4C2×#63983C211yesmaximal, characteristic, complemented
5C2×#63981C212yesmaximal, complemented
6C2×#63978C212yesmaximal, complemented
7C2×#63975C211yesmaximal, characteristic, complemented
8C22×#3722C211yesmaximal, characteristic, complemented
9#10595308C2116yesmaximal, direct product factor
10C2×#63923C211yesmaximal, characteristic, complemented
11C2×#63897C211yesmaximal, characteristic, complemented
12C2×#63853C212yesmaximal, complemented
13C2×#5605—32nomaximal
14C24×C3⋊D3C2211yescharacteristic
15C24×C3⋊D3C2211yescharacteristic, complemented
16C23×D32C2211yescharacteristic, complemented
17C22×C32×D4C2211yescharacteristic, complemented
18C22×#638C2211yescharacteristic
19C22×#638C2211yescharacteristic, complemented
20C2×D4×C3⋊D3—28no—
21C2×D4×C3⋊D3C2218yescomplemented
22C22×C4⋊(C3⋊D3)C2211yescharacteristic
23C22×C4×C3⋊D3C2211yescharacteristic, complemented
24C22×C3×#67C2212yescomplemented
25C22×C3×#67C2212yescomplemented
26C23×C3×Dic3C2212yescomplemented
27C2×#3811—28no—
28C2×#3811C2218yescomplemented
29C22×#626C2212yes—
30C22×#626C2212yescomplemented
31C22×#624C2211yescharacteristic, complemented
32C2×C3×#217C2212yescomplemented
33C3×#939C22116yescomplemented
34C2×C3×(C2×D3)⋊C4C2212yescomplemented
35C2×C3×Dic3⋊C4C2212yescomplemented
36#63983C2218yescomplemented
37#63981C22116yescomplemented
38#63978C22116yescomplemented
39#63975C2218yescomplemented
40C2×Dic3⋊Dic3C2212yescomplemented
41C2×#3722C2212yescomplemented
42C2×#3722C2211yescharacteristic, complemented
43C2×#3722C2212yescomplemented
44C2×#3722C2211yescharacteristic, complemented
45C2×#3722C2218yescomplemented
46C2×(C2×D3)⋊Dic3C2212yescomplemented
47#63923C2218yescomplemented
48#63897C2218yescomplemented
49#63853C22116yescomplemented
50C22×D3×D4—32no—
51C22×D3×D4—32no—
52C22×D3×D4—61no—
53C2×C3×#121—32no—
54C2×#939—32no—
55C2×#939D312yescomplemented
56C2×#937—32no—
57C2×#937—32no—
58C2×#930—32no—
59C22×(C2×D3)⋊C4—32no—
60#5605—332no—
61C2×#894—32no—
62C2×#894—32no—
63C2×#883—32no—
64C2×#883—32no—
65C2×#882—32no—
66C2×#882—32no—
67C24×C32C2311yescharacteristic
68C24×C32C2311yescharacteristic
69C23×C3⋊D3—24no—
70C23×C3⋊D3—44no—
71C23×C3⋊D3—44no—
72C23×C3⋊D3D418yescomplemented
73C23×C3⋊D3C2311yescharacteristic
74C23×C3⋊D3C2311yescharacteristic
75C23×C3⋊D3C2311yescharacteristic
76C23×C3⋊D3C2314yes—
77C23×C3⋊D3C2314yescomplemented
78C23×C3×D3C2312yes—
79C22×D32—24no—
80C22×D32—44no—
81C22×D32C2314yescomplemented
82C2×C32×D4—24no—
83C2×C32×D4C2314yescomplemented
84C22×C32×C4C2311yescharacteristic
85C2×#638—24no—
86C2×#638—24no—
87C2×#638C2314yes—
88C2×#638C2314yescomplemented
89C22×C3⋊Dic3C2311yescharacteristic
90D4×C3⋊D3—232no—
91C2×C4⋊(C3⋊D3)—24no—
92C2×C4⋊(C3⋊D3)C2314yes—
93C2×C4×C3⋊D3—24no—
94C2×C4×C3⋊D3C2314yescomplemented
95C2×C3×#67—28no—
96C2×C3×#67—44no—
97C2×C3×#67C2318yescomplemented
98C2×C3×#67C2318yescomplemented
99C22×C3×Dic3—44no—
100C22×C3×Dic3C2312yes—
101C22×C3×Dic3C2312yes—
102C22×C3×Dic3C2312yes—
103C22×C3×Dic3C2318yescomplemented
104#3811—232no—
105C2×#626—28no—
106C2×#626—44no—
107C2×#626C2318yes—
108C2×#626C2318yescomplemented
109C2×#624—24no—
110C2×#624C2314yescomplemented
111C3×#217C2318yescomplemented
112C3×(C2×D3)⋊C4C2318yescomplemented
113C3×Dic3⋊C4C2318yescomplemented
114Dic3⋊Dic3C2318yescomplemented
115#3722C2318yescomplemented
116#3722C2314yescomplemented
117#3722C2318yescomplemented
118#3722C2314yescomplemented
119(C2×D3)⋊Dic3C2318yescomplemented
120C2×#534—91noSylow
121C24×D3—32no—
122C24×D3—32no—
123C24×D3—32no—
124C24×D3—61no—
125C24×D3—61no—
126C22×C3×D4—21no—
127C22×C3×D4—32no—
128C22×C3×D4—32no—
129C22×C3×D4C2×D312yescomplemented
130C23×C3×C4—32no—
131C22×#67—32no—
132C22×#67—32no—
133C22×#67—32no—
134C22×#67—32no—
135C22×#67—61no—
136C22×#67—61no—
137C22×#67C2×D312yescomplemented
138C22×#67C2×D312yescomplemented
139C23×Dic3C2×D312yescomplemented
140C2×D3×D4—316no—
141C2×D3×D4—316no—
142C2×D3×D4—68no—
143C2×D3×D4—616no—
144C2×D3×D4—616no—
145C2×D3×D4—616no—
146C22×D12—32no—
147C22×D12—32no—
148C22×D12—32no—
149C22×D12—61no—
150C22×C4×D3—32no—
151C22×C4×D3—32no—
152C22×C4×D3—61no—
153C3×#121—316no—
154C2×C3×C4⋊C4—32no—
155C2×C3×C22⋊C4—32no—
156C2×C3×C22⋊C4—32no—
157C2×#217—32no—
158C2×#217C2×D312yescomplemented
159#939—316no—
160#939C2×D3116yescomplemented
161#937—316no—
162#937—316no—
163#930—316no—
164C2×(C2×D3)⋊C4—32no—
165C2×(C2×D3)⋊C4—32no—
166C2×(C2×D3)⋊C4—32no—
167C2×(C2×D3)⋊C4—32no—
168C2×(C2×D3)⋊C4—32no—
169C2×(C2×D3)⋊C4—32no—
170C2×(C2×D3)⋊C4—32no—
171C2×(C2×D3)⋊C4—316no—
172C2×(C2×D3)⋊C4C2×D312yescomplemented
173C2×C4⋊Dic3—32no—
174C2×Dic3⋊C4—32no—
175C2×Dic3⋊C4C2×D312yescomplemented
176#894—316no—
177#894—316no—
178#883—316no—
179#883—316no—
180#882—316no—
181#882—316no—
182C23×C32—22no—
183C23×C32—24no—
184C23×C32—24no—
185C23×C32C2×D414yes—
186C23×C32C2412yes—
187C23×C32C2412yes—
188C23×C32C2411yescharacteristic
189C22×C3⋊D3—24no—
190C22×C3⋊D3—22no—
191C22×C3⋊D3—28no—
192C22×C3⋊D3—24no—
193C22×C3⋊D3—24no—
194C22×C3⋊D3—416no—
195C22×C3⋊D3—48no—
196C22×C3⋊D3—48no—
197C22×C3⋊D3—416no—
198C22×C3⋊D3C2×D414yes—
199C22×C3⋊D3C2×D414yes—
200C22×C3⋊D3C2×D4116yescomplemented
201C22×C3⋊D3C2412yes—
202C22×C3⋊D3C2412yes—
203C22×C3⋊D3C2412yes—
204C22×C3×D3—24no—
205C22×C3×D3—24no—
206C22×C3×D3—24no—
207C22×C3×D3C2414yes—
208C2×D32—28no—
209C2×D32—48no—
210C2×D32—416no—
211C32×D4—28no—
212C2×C32×C4—22no—
213C2×C32×C4C2412yes—
214#638—28no—
215#638—28no—
216C2×C3⋊Dic3—22no—
217C2×C3⋊Dic3C2412yes—
218C4⋊(C3⋊D3)—28no—
219C4×C3⋊D3—28no—
220C3×#67—216no—
221C3×#67—48no—
222C2×C3×Dic3—24no—
223C2×C3×Dic3—24no—
224C2×C3×Dic3—24no—
225C2×C3×Dic3—48no—
226C2×C3×Dic3C2414yes—
227C2×C3×Dic3C2414yes—
228C2×C3×Dic3C2414yes—
229#626—216no—
230#626—48no—
231#624—28no—
232C23×D4—91no—
233C23×D4—91no—
234#534—916no—
235C2×#123—91no—
236C2×#123—92no—
237C2×#123—91no—
238C2×#121—32no—
239C2×#121—92no—
240C2×#120—91no—
241C2×#120—92no—
242C2×#120—91no—
243C22×C22⋊C4—91no—
244C24×C3—21no—
245C24×C3—21no—
246C24×C3—32no—
247C24×C3C22×D312yes—
248C24×C3C22×D312yes—
249C23×D3—32no—
250C23×D3—32no—
251C23×D3—316no—
252C23×D3—38no—
253C23×D3—32no—
254C23×D3—38no—
255C23×D3—38no—
256C23×D3—61no—
257C23×D3—68no—
258C23×D3—61no—
259C23×D3—61no—
260C23×D3—64no—
261C23×D3—64no—
262C23×D3—68no—
263C23×D3—68no—
264C23×D3—68no—
265C23×D3—124no—
266C23×D3—124no—
267C23×D3—124no—
268C23×D3—124no—
269C23×D3—124no—
270C23×D3—124no—
271C23×D3—128no—
272C23×D3—128no—
273C23×D3C22×D312yes—
274C2×C3×D4—28no—
275C2×C3×D4—28no—
276C2×C3×D4—24no—
277C2×C3×D4—38no—
278C2×C3×D4—38no—
279C2×C3×D4—68no—
280C2×C3×D4—124no—
281C2×C3×D4C22×D318yescomplemented
282C22×C3×C4—21no—
283C22×C3×C4—32no—
284C22×C3×C4—32no—
285C22×C3×C4—32no—
286C22×C3×C4—38no—
287C22×C3×C4—124no—
288C22×C3×C4C22×D312yes—
289C2×#67—28no—
290C2×#67—38no—
291C2×#67—38no—
292C2×#67—38no—
293C2×#67—38no—
294C2×#67—44no—
295C2×#67—64no—
296C2×#67—64no—
297C2×#67—68no—
298C2×#67—68no—
299C2×#67—68no—
300C2×#67—68no—
301C2×#67—68no—
302C2×#67—124no—
303C2×#67C22×D318yescomplemented
304C2×#67C22×D318yescomplemented
305C22×Dic3—32no—
306C22×Dic3—44no—
307C22×Dic3—61no—
308C22×Dic3C22×D312yes—
309C22×Dic3C22×D312yes—
310C22×Dic3C22×D312yes—
311C22×Dic3C22×D318yescomplemented
312D3×D4—664no—
313D3×D4—664no—
314D3×D4—664no—
315C2×D12—38no—
316C2×D12—38no—
317C2×D12—38no—
318C2×D12—64no—
319C2×D12—68no—
320C2×D12—68no—
321C2×D12—68no—
322C2×D12—124no—
323C2×C4×D3—38no—
324C2×C4×D3—38no—
325C2×C4×D3—64no—
326C2×C4×D3—68no—
327C2×C4×D3—68no—
328C2×C4×D3—68no—
329C3×C4⋊C4—38no—
330C3×C22⋊C4—38no—
331C3×C22⋊C4—38no—
332#217—38no—
333#217C22×D318yescomplemented
334(C2×D3)⋊C4—38no—
335(C2×D3)⋊C4—38no—
336(C2×D3)⋊C4—38no—
337(C2×D3)⋊C4—38no—
338(C2×D3)⋊C4—38no—
339(C2×D3)⋊C4—38no—
340(C2×D3)⋊C4—38no—
341(C2×D3)⋊C4C22×D318yescomplemented
342C4⋊Dic3—38no—
343Dic3⋊C4—38no—
344Dic3⋊C4C22×D318yescomplemented
345C22×C32—22no—
346C22×C32—28no—
347C22×C32—24no—
348C22×C32—24no—
349C22×C32—44no—
350C22×C32C22×D414yes—
351C22×C32C22×D412yes—
352C22×C32H(5,𝔽2)14yes—
353C22×C32C2511yescharacteristic
354C2×C3⋊D3—28no—
355C2×C3⋊D3—24no—
356C2×C3⋊D3—22no—
357C2×C3⋊D3—28no—
358C2×C3⋊D3—24no—
359C2×C3⋊D3—24no—
360C2×C3⋊D3—416no—
361C2×C3⋊D3—416no—
362C2×C3⋊D3—44no—
363C2×C3⋊D3C22×D414yes—
364C2×C3⋊D3C22×D414yes—
365C2×C3×D3—24no—
366C2×C3×D3—24no—
367C2×C3×D3—24no—
368C2×C3×D3—48no—
369D32—416no—
370C32×C4—22no—
371C3⋊Dic3—22no—
372C3×Dic3—24no—
373C3×Dic3—24no—
374C3×Dic3—24no—
375C25—91no—
376C25—91no—
377C25—91no—
378C22×D4—32no—
379C22×D4—32no—
380C22×D4—92no—
381C22×D4—92no—
382C22×D4—98no—
383C22×D4—91no—
384C22×D4—91no—
385C22×D4—98no—
386C22×D4—91no—
387C22×D4—188no—
388C22×D4—188no—
389C22×D4D3211yescharacteristic, complemented
390C23×C4—32no—
391C23×C4—91no—
392C23×C4—91no—
393#123—98no—
394#123—916no—
395#123—98no—
396#121—316no—
397#121—916no—
398#120—98no—
399#120—916no—
400#120—98no—
401C2×C4⋊C4—32no—
402C2×C4⋊C4—92no—
403C2×C22⋊C4—32no—
404C2×C22⋊C4—32no—
405C2×C22⋊C4—91no—
406C2×C22⋊C4—92no—
407C2×C22⋊C4—91no—
408C2×C22⋊C4—98no—
409C2×C22⋊C4—92no—
410C2×C22⋊C4—92no—
411C23×C3—24no—
412C23×C3—24no—
413C23×C3—24no—
414C23×C3—24no—
415C23×C3—24no—
416C23×C3—24no—
417C23×C3—22no—
418C23×C3—22no—
419C23×C3—21no—
420C23×C3—24no—
421C23×C3—34no—
422C23×C3—44no—
423C23×C3—44no—
424C23×C3—64no—
425C23×C3—64no—
426C23×C3—64no—
427C23×C3D3×D418yes—
428C23×C3C23×D314yes—
429C23×C3C23×D314yes—
430C23×C3C23×D312yes—
431C22×D3—24no—
432C22×D3—24no—
433C22×D3—24no—
434C22×D3—38no—
435C22×D3—38no—
436C22×D3—34no—
437C22×D3—34no—
438C22×D3—332no—
439C22×D3—34no—
440C22×D3—64no—
441C22×D3—62no—
442C22×D3—64no—
443C22×D3—616no—
444C22×D3—62no—
445C22×D3—62no—
446C22×D3—616no—
447C22×D3—616no—
448C22×D3—68no—
449C22×D3—64no—
450C22×D3—64no—
451C22×D3—64no—
452C22×D3—64no—
453C22×D3—64no—
454C22×D3—616no—
455C22×D3—64no—
456C22×D3—64no—
457C22×D3—64no—
458C22×D3—124no—
459C22×D3—124no—
460C22×D3—128no—
461C22×D3—128no—
462C22×D3—1232no—
463C22×D3—128no—
464C22×D3—128no—
465C22×D3—128no—
466C22×D3—128no—
467C22×D3—1232no—
468C22×D3—1232no—
469C22×D3—1216no—
470C22×D3—1216no—
471C22×D3—1232no—
472C22×D3—1232no—
473C22×D3C23×D314yes—
474C3×D4—216no—
475C3×D4—216no—
476C3×D4—616no—
477C3×D4—128no—
478C2×C3×C4—24no—
479C2×C3×C4—24no—
480C2×C3×C4—22no—
481C2×C3×C4—34no—
482C2×C3×C4—34no—
483C2×C3×C4—34no—
484C2×C3×C4—64no—
485C2×C3×C4—64no—
486C2×C3×C4—64no—
487C2×C3×C4—128no—
488C2×C3×C4C23×D314yes—
489#67—216no—
490#67—48no—
491#67—616no—
492#67—616no—
493#67—616no—
494#67—616no—
495#67—616no—
496#67—128no—
497C2×Dic3—24no—
498C2×Dic3—24no—
499C2×Dic3—24no—
500C2×Dic3—34no—
501C2×Dic3—48no—
502C2×Dic3—62no—
503C2×Dic3—64no—
504C2×Dic3—64no—
505C2×Dic3C23×D314yes—
506C2×Dic3C23×D314yes—
507C2×Dic3C23×D314yes—
508D12—616no—
509D12—616no—
510D12—616no—
511D12—128no—
512C4×D3—616no—
513C4×D3—616no—
514C4×D3—616no—
515C2×C32—24no—
516C2×C32—42no—
517C2×C32#53414yescomplemented
518C2×C32C23×D411yescharacteristic
519C2×C32C2×H(5,𝔽2)12yes—
520C3⋊D3—24no—
521C3⋊D3—24no—
522C3⋊D3—42no—
523C3×D3—44no—
524C24—32no—
525C24—94no—
526C24—91no—
527C24—91no—
528C24—94no—
529C24—98no—
530C24—91no—
531C24—94no—
532C24—184no—
533C24—184no—
534C24—364no—
535C24—364no—
536C24—364no—
537C24C2×D3211yescharacteristic
538C24C2×D3211yescharacteristic
539C2×D4—24no—
540C2×D4—38no—
541C2×D4—38no—
542C2×D4—68no—
543C2×D4—98no—
544C2×D4—98no—
545C2×D4—94no—
546C2×D4—94no—
547C2×D4—94no—
548C2×D4—124no—
549C2×D4—184no—
550C2×D4—188no—
551C2×D4—1832no—
552C2×D4—1832no—
553C2×D4—184no—
554C2×D4—184no—
555C2×D4—364no—
556C2×D4C2×D3214yescomplemented
557C22×C4—32no—
558C22×C4—32no—
559C22×C4—32no—
560C22×C4—38no—
561C22×C4—94no—
562C22×C4—91no—
563C22×C4—94no—
564C22×C4—124no—
565C22×C4—184no—
566C22×C4—184no—
567C22×C4C2×D3211yescharacteristic
568C4⋊C4—38no—
569C4⋊C4—98no—
570C22⋊C4—38no—
571C22⋊C4—38no—
572C22⋊C4—94no—
573C22⋊C4—98no—
574C22⋊C4—94no—
575C22⋊C4—98no—
576C22⋊C4—98no—
577C22×C3—24no—
578C22×C3—24no—
579C22×C3—216no—
580C22×C3—24no—
581C22×C3—24no—
582C22×C3—24no—
583C22×C3—24no—
584C22×C3—24no—
585C22×C3—22no—
586C22×C3—24no—
587C22×C3—21no—
588C22×C3—44no—
589C22×C3—48no—
590C22×C3—44no—
591C22×C3—48no—
592C22×C3—48no—
593C22×C3—64no—
594C22×C3—64no—
595C22×C3—64no—
596C22×C3—128no—
597C22×C3C2×D3×D418yes—
598C22×C3C2×D3×D414yes—
599C22×C3#100414yes—
600C22×C3#100914yes—
601C22×C3C24×D312yes—
602C2×D3—24no—
603C2×D3—24no—
604C2×D3—24no—
605C2×D3—38no—
606C2×D3—38no—
607C2×D3—48no—
608C2×D3—64no—
609C2×D3—64no—
610C2×D3—68no—
611C2×D3—616no—
612C2×D3—64no—
613C2×D3—64no—
614C2×D3—64no—
615C2×D3—64no—
616C2×D3—616no—
617C2×D3—616no—
618C2×D3—64no—
619C2×D3—64no—
620C2×D3—64no—
621C2×D3—64no—
622C2×D3—124no—
623C2×D3—128no—
624C2×D3—124no—
625C2×D3—1232no—
626C2×D3—1232no—
627C2×D3—1232no—
628C2×D3—1232no—
629C2×D3—1232no—
630C2×D3—128no—
631C2×D3—128no—
632C3×C4—24no—
633C3×C4—24no—
634C3×C4—64no—
635C3×C4—64no—
636C3×C4—64no—
637Dic3—24no—
638Dic3—24no—
639Dic3—24no—
640Dic3—64no—
641Dic3—64no—
642C32C2×#53411yescharacteristic, complemented, Sylow
643C23—24no—
644C23—24no—
645C23—22no—
646C23—34no—
647C23—64no—
648C23—64no—
649C23—64no—
650C23—94no—
651C23—94no—
652C23—92no—
653C23—92no—
654C23—916no—
655C23—92no—
656C23—188no—
657C23—188no—
658C23—184no—
659C23—184no—
660C23—184no—
661C23—182no—
662C23—368no—
663C23—3616no—
664C23—368no—
665C23—3616no—
666C23—368no—
667C23—3616no—
668C23#381114yes—
669C23C22×D3212yes—
670C23C22×D3212yes—
671C23C22×D3211yescharacteristic
672D4—28no—
673D4—616no—
674D4—128no—
675D4—188no—
676D4—1816no—
677D4—188no—
678D4—188no—
679D4—368no—
680C2×C4—22no—
681C2×C4—34no—
682C2×C4—34no—
683C2×C4—34no—
684C2×C4—64no—
685C2×C4—64no—
686C2×C4—64no—
687C2×C4—92no—
688C2×C4—128no—
689C2×C4—188no—
690C2×C4—188no—
691C2×C4—182no—
692C2×C4C22×D3212yes—
693C2×C3—28no—
694C2×C3—22no—
695C2×C3—21no—
696C2×C3—24no—
697C2×C3—44no—
698C2×C3—44no—
699C2×C3—44no—
700C2×C3—124no—
701C2×C3#560518yescomplemented
702C2×C3C22×D3×D412yes—
703C2×C3C2×#100412yes—
704C2×C3C2×#100912yes—
705D3—44no—
706D3—68no—
707D3—68no—
708D3—68no—
709D3—124no—
710D3—124no—
711D3—124no—
712C22—24no—
713C22—28no—
714C22—24no—
715C22—22no—
716C22—44no—
717C22—64no—
718C22—64no—
719C22—64no—
720C22—94no—
721C22—94no—
722C22—128no—
723C22—184no—
724C22—184no—
725C22—188no—
726C22—188no—
727C22—184no—
728C22—182no—
729C22—3616no—
730C22—3616no—
731C22—3616no—
732C22—364no—
733C22#6431414yes—
734C22C2×#381114yes—
735C22C2×#381112yes—
736C22C23×D3211yescharacteristic
737C4—22no—
738C4—64no—
739C4—64no—
740C4—64no—
741C4—182no—
742C3—21no—
743C3C2×#560512yescomplemented
744C2—24no—
745C2—42no—
746C2—124no—
747C2—184no—
748C2—184no—
749C2—362no—
750C2#1059530814yesdirect product factor
751C2C2×#6431412yes—
752C2C22×#381111yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#534
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×D4×C3⋊D3C2semidirect
2. C22×#3811C2semidirect
3. C2×C3×#939C2semidirect
4. C2×#63983C2semidirect
5. C2×#63981C2semidirect
6. C2×#63978C2semidirect
7. C2×#63975C2semidirect
8. C22×#3722C2semidirect
9. #10595308C2direct (N × H)
10. C2×#63923C2semidirect
11. C2×#63897C2semidirect
12. C2×#63853C2semidirect
15. C24×C3⋊D3C22semidirect
16. C23×D32C22semidirect
17. C22×C32×D4C22semidirect
19. C22×#638C22semidirect
21. C2×D4×C3⋊D3C22semidirect
23. C22×C4×C3⋊D3C22semidirect
24. C22×C3×#67C22semidirect
25. C22×C3×#67C22semidirect
26. C23×C3×Dic3C22semidirect
28. C2×#3811C22semidirect
30. C22×#626C22semidirect
31. C22×#624C22semidirect
32. C2×C3×#217C22semidirect
33. C3×#939C22semidirect
34. C2×C3×(C2×D3)⋊C4C22semidirect
35. C2×C3×Dic3⋊C4C22semidirect
36. #63983C22semidirect
37. #63981C22semidirect
38. #63978C22semidirect
39. #63975C22semidirect
40. C2×Dic3⋊Dic3C22semidirect
41. C2×#3722C22semidirect
42. C2×#3722C22semidirect
43. C2×#3722C22semidirect
44. C2×#3722C22semidirect
45. C2×#3722C22semidirect
46. C2×(C2×D3)⋊Dic3C22semidirect
47. #63923C22semidirect
48. #63897C22semidirect
49. #63853C22semidirect
55. C2×#939D3semidirect
72. C23×C3⋊D3D4semidirect
77. C23×C3⋊D3C23semidirect
81. C22×D32C23semidirect
83. C2×C32×D4C23semidirect
88. C2×#638C23semidirect
94. C2×C4×C3⋊D3C23semidirect
97. C2×C3×#67C23semidirect
98. C2×C3×#67C23semidirect
103. C22×C3×Dic3C23semidirect
108. C2×#626C23semidirect
110. C2×#624C23semidirect
111. C3×#217C23semidirect
112. C3×(C2×D3)⋊C4C23semidirect
113. C3×Dic3⋊C4C23semidirect
114. Dic3⋊Dic3C23semidirect
115. #3722C23semidirect
116. #3722C23semidirect
117. #3722C23semidirect
118. #3722C23semidirect
119. (C2×D3)⋊Dic3C23semidirect
129. C22×C3×D4C2×D3semidirect
137. C22×#67C2×D3semidirect
138. C22×#67C2×D3semidirect
139. C23×Dic3C2×D3semidirect
158. C2×#217C2×D3semidirect
160. #939C2×D3semidirect
172. C2×(C2×D3)⋊C4C2×D3semidirect
175. C2×Dic3⋊C4C2×D3semidirect
200. C22×C3⋊D3C2×D4semidirect
281. C2×C3×D4C22×D3semidirect
303. C2×#67C22×D3semidirect
304. C2×#67C22×D3semidirect
311. C22×Dic3C22×D3semidirect
333. #217C22×D3semidirect
341. (C2×D3)⋊C4C22×D3semidirect
344. Dic3⋊C4C22×D3semidirect
389. C22×D4D32semidirect
517. C2×C32#534semidirect
556. C2×D4C2×D32semidirect
642. C32C2×#534semidirect
701. C2×C3#5605semidirect
743. C3C2×#5605semidirect
750. C2#10595308direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D4×C3⋊D32
C22×#38112
C2×C3×#9392
C2×#639832
C2×#639812
C2×#639782
C2×#639752
C22×#37222
#105953082
C2×#639232
C2×#638972
C2×#638532
C2×#56053