Finite Group Databasebeta

← #11906156

Subgroups — #11906156

Order 1152.

3300 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C22⋊Q8C211yesmaximal, characteristic, complemented
2Q8×#638C212yesmaximal, complemented
3C2×C4×#638C211yesmaximal, characteristic
4C2×#64133C211yesmaximal, characteristic, complemented
5#10596107C214yesmaximal, complemented
6#10596106C212yesmaximal, complemented
7#10596105C212yesmaximal, complemented
8#10596103C212yesmaximal, complemented
9C3⋊D3×C22⋊Q8C212yesmaximal, complemented
10#10596094C212yesmaximal, complemented
11#10596093C212yesmaximal, complemented
12#10595982C212yesmaximal, complemented
13#10595982C214yesmaximal, complemented
14#10595957C212yesmaximal
15#10595954C212yesmaximal, complemented
16#85986—34nomaximal
17C22×C32×Q8C2211yescharacteristic, complemented
18C23×C32×C4C2211yescharacteristic
19C22×#638C2211yescharacteristic
20C2×Q8×C3⋊D3C2212yescomplemented
21C22×C4×C3⋊D3C2211yescharacteristic
22C22×#634C2211yescharacteristic, complemented
23C32×C22⋊Q8C2212yes—
24C32×C22⋊Q8C2212yes—
25C32×C22⋊Q8C2212yescomplemented
26C32×C22⋊Q8C2212yescomplemented
27C2×C32×C4⋊C4C2211yescharacteristic, complemented
28C2×C32×C4⋊C4C2212yescomplemented
29C2×C32×C22⋊C4C2212yes—
30C2×#3757C2211yescharacteristic
31C2×#3757C2212yes—
32#64155C2212yescomplemented
33#64155C2214yescomplemented
34Q8×C3⋊Dic3C2212yescomplemented
35#64153C2212yescomplemented
36#64153C2214yescomplemented
37C4×#638C2212yes—
38C4×#638C2212yes—
39C4×#638C2214yes—
40C4×#638C2214yes—
41C4×#638C2212yes—
42C4×#638C2212yes—
43C2×#3752C2211yescharacteristic
44C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
45#64133C2212yes—
46#64133C2212yes—
47#64133C2214yescomplemented
48#64133C2214yescomplemented
49#64133C2212yescomplemented
50#64133C2212yescomplemented
51C2×#3750C2211yescharacteristic
52C2×#3750C2212yescomplemented
53C2×C4×C3⋊Dic3C2211yescharacteristic
54#64106C2212yescomplemented
55#64106C2214yescomplemented
56#64105C2214yescomplemented
57#64105C2214yescomplemented
58#64105C2214yescomplemented
59C4⋊C4×C3⋊D3C2212yescomplemented
60C4⋊C4×C3⋊D3C2214yescomplemented
61#64098C2214yescomplemented
62#64098C2214yescomplemented
63#64098C2214yescomplemented
64#64097C2214yescomplemented
65#64097C2212yescomplemented
66#64096C2212yescomplemented
67#64096C2214yescomplemented
68#64090C2214yes—
69#64090C2214yes—
70C22⋊C4×C3⋊D3C2214yes—
71#64087C2214yes—
72#64087C2214yes—
73#64087C2214yescomplemented
74#64087C2214yescomplemented
75#64086C2214yes—
76C2×C3×C22⋊Q8D314yescomplemented
77Q8×#67—38no—
78C2×C4×#67—34no—
79C2×#924—34no—
80#5636—316no—
81#5635—38no—
82#5634—38no—
83#5632—38no—
84D3×C22⋊Q8—38no—
85#5623—38no—
86#5622—38no—
87#5511—38no—
88#5511—316no—
89#5486—38no—
90#5483—38no—
91C24×C32C2311yescharacteristic
92C23×C3⋊D3C2311yescharacteristic
93C2×C32×Q8—42no—
94C2×C32×Q8C2312yes—
95C2×C32×Q8C2312yes—
96C22×C32×C4—42no—
97C22×C32×C4C2311yescharacteristic
98C22×C32×C4C2311yescharacteristic
99C22×C32×C4C2311yescharacteristic
100C22×C32×C4C2311yescharacteristic
101C22×C32×C4C2311yescharacteristic
102C22×C32×C4C2311yescharacteristic
103C22×C32×C4C2312yes—
104C22×C32×C4C2312yes—
105C2×#638Q818yescomplemented
106C2×#638C2312yes—
107C2×#638C2312yes—
108C22×C3⋊Dic3C2311yescharacteristic
109C22×C3⋊Dic3C2311yescharacteristic
110C22×C3⋊Dic3C2312yes—
111C22×C3⋊Dic3C2312yes—
112C22×C3⋊Dic3C2311yescharacteristic
113Q8×C3⋊D3—44no—
114C2×C4×C3⋊D3—42no—
115C2×C4×C3⋊D3C2312yes—
116C2×C4×C3⋊D3C2314yes—
117C2×C4×C3⋊D3C2314yes—
118C2×C4×C3⋊D3C2312yes—
119C2×#634—42no—
120C2×#634C2312yes—
121C2×#634C2314yes—
122C2×#634C2314yes—
123C2×#634C2312yes—
124C32×C4⋊C4C2312yes—
125C32×C4⋊C4C2314yes—
126C32×C4⋊C4C2314yes—
127C32×C4⋊C4C2312yes—
128C32×C22⋊C4C2314yes—
129C32×C22⋊C4C2314yes—
130#3757C2314yes—
131#3757C2312yes—
132#3757C2312yes—
133#3757C2314yes—
134#3752C2314yes—
135#3752C2314yes—
136#3752C2312yes—
137#3752C2312yes—
138C4⋊(C3⋊Dic3)C2314yes—
139C4⋊(C3⋊Dic3)C2314yes—
140C4⋊(C3⋊Dic3)C2312yes—
141C4⋊(C3⋊Dic3)C2312yes—
142#3750C2314yes—
143#3750C2314yes—
144#3750C2314yes—
145#3750C2314yes—
146#3750C2314yes—
147#3750C2314yes—
148#3750C2314yes—
149#3750C2312yes—
150#3750C2312yes—
151#3750C2314yes—
152C4×C3⋊Dic3C2314yes—
153C4×C3⋊Dic3C2314yes—
154C4×C3⋊Dic3C2312yes—
155C4×C3⋊Dic3C2312yes—
156#3501—91noSylow
157C22×C3×Q8C2×D314yescomplemented
158C23×C3×C4C2×D314yes—
159C22×#67—34no—
160C2×D3×Q8—38no—
161C22×C4×D3—34no—
162C22×Dic6—34no—
163C3×C22⋊Q8C2×D318yes—
164C3×C22⋊Q8C2×D318yes—
165C3×C22⋊Q8C2×D318yescomplemented
166C3×C22⋊Q8C2×D318yescomplemented
167C2×C3×C4⋊C4C2×D314yescomplemented
168C2×C3×C4⋊C4C2×D318yescomplemented
169C2×C3×C22⋊C4C2×D318yes—
170C2×#217—34no—
171C2×#217—38no—
172#946—316no—
173#946—38no—
174Q8×Dic3—38no—
175#944—38no—
176#944—316no—
177C4×#67—38no—
178C4×#67—38no—
179C4×#67—316no—
180C4×#67—316no—
181C4×#67—38no—
182C4×#67—38no—
183C2×(C2×D3)⋊C4—34no—
184C2×C4⋊Dic3—34no—
185#924—38no—
186#924—316no—
187#924—316no—
188#924—38no—
189#924—38no—
190#924—38no—
191C2×Dic3⋊C4—38no—
192C2×Dic3⋊C4—34no—
193C2×C4×Dic3—34no—
194#897—38no—
195#897—316no—
196#896—316no—
197#896—316no—
198#896—316no—
199D3×C4⋊C4—38no—
200D3×C4⋊C4—316no—
201#889—316no—
202#889—316no—
203#889—316no—
204#888—316no—
205#888—38no—
206#887—38no—
207#887—316no—
208#67⋊C4—316no—
209#67⋊C4—316no—
210D3×C22⋊C4—316no—
211#878—316no—
212#878—316no—
213#878—316no—
214#878—316no—
215#877—316no—
216C23×C32—41no—
217C23×C32—41no—
218C23×C32C2×Q814yescomplemented
219C23×C32C2411yescharacteristic
220C23×C32C2411yescharacteristic
221C23×C32C2411yescharacteristic
222C22×C3⋊D3—41no—
223C22×C3⋊D3—41no—
224C22×C3⋊D3C2×Q814yescomplemented
225C22×C3⋊D3C2412yes—
226C32×Q8—24no—
227C32×Q8—42no—
228C2×C32×C4—22no—
229C2×C32×C4—22no—
230C2×C32×C4—22no—
231C2×C32×C4—41no—
232C2×C32×C4—41no—
233C2×C32×C4—41no—
234C2×C32×C4—42no—
235C2×C32×C4—42no—
236C2×C32×C4C2411yescharacteristic
237C2×C32×C4C2414yes—
238C2×C32×C4C2414yes—
239C2×C32×C4C2411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242#638C2×Q818yescomplemented
243#638C2×Q818yescomplemented
244C2×C3⋊Dic3—42no—
245C2×C3⋊Dic3—41no—
246C2×C3⋊Dic3—41no—
247C2×C3⋊Dic3—42no—
248C2×C3⋊Dic3C2×Q814yescomplemented
249C2×C3⋊Dic3C2412yes—
250C2×C3⋊Dic3C2414yes—
251C2×C3⋊Dic3C2414yes—
252C2×C3⋊Dic3C2412yes—
253C2×C3⋊Dic3C2412yes—
254C4×C3⋊D3—24no—
255C4×C3⋊D3—42no—
256C4×C3⋊D3—44no—
257C4×C3⋊D3—44no—
258#634—24no—
259#634—42no—
260#634—44no—
261#634—44no—
262#554—92no—
263#554—94no—
264#554—92no—
265#554—94no—
266D4×Q8—92no—
267D4×Q8—92no—
268#544—92no—
269#543—92no—
270#543—92no—
271#533—92no—
272C2×C22⋊Q8—91no—
273C2×C22⋊Q8—92no—
274C2×C22⋊Q8C3⋊D311yescharacteristic, complemented
275#518—92no—
276C2×C4×D4—91no—
277C24×C3C22×D314yes—
278C23×D3—34no—
279C2×C3×Q8—48no—
280C2×C3×Q8C22×D318yes—
281C2×C3×Q8C22×D318yes—
282C22×C3×C4—48no—
283C22×C3×C4C22×D314yes—
284C22×C3×C4C22×D314yes—
285C22×C3×C4C22×D314yes—
286C22×C3×C4C22×D314yes—
287C22×C3×C4C22×D314yes—
288C22×C3×C4C22×D318yes—
289C22×C3×C4C22×D318yes—
290C22×C3×C4C22×D314yes—
291C2×#67—332no—
292C2×#67—38no—
293C2×#67—38no—
294C22×Dic3—34no—
295C22×Dic3—34no—
296C22×Dic3—34no—
297C22×Dic3—38no—
298C22×Dic3—38no—
299D3×Q8—1216no—
300C2×C4×D3—38no—
301C2×C4×D3—316no—
302C2×C4×D3—316no—
303C2×C4×D3—38no—
304C2×C4×D3—128no—
305C2×Dic6—38no—
306C2×Dic6—316no—
307C2×Dic6—316no—
308C2×Dic6—38no—
309C2×Dic6—128no—
310C3×C4⋊C4C22×D318yes—
311C3×C4⋊C4C22×D3116yes—
312C3×C4⋊C4C22×D3116yes—
313C3×C4⋊C4C22×D318yes—
314C3×C22⋊C4C22×D3116yes—
315C3×C22⋊C4C22×D3116yes—
316#217—316no—
317#217—38no—
318#217—38no—
319#217—316no—
320(C2×D3)⋊C4—316no—
321(C2×D3)⋊C4—316no—
322(C2×D3)⋊C4—38no—
323(C2×D3)⋊C4—38no—
324C4⋊Dic3—316no—
325C4⋊Dic3—316no—
326C4⋊Dic3—38no—
327C4⋊Dic3—38no—
328Dic3⋊C4—316no—
329Dic3⋊C4—316no—
330Dic3⋊C4—316no—
331Dic3⋊C4—316no—
332Dic3⋊C4—316no—
333Dic3⋊C4—316no—
334Dic3⋊C4—316no—
335Dic3⋊C4—38no—
336Dic3⋊C4—38no—
337Dic3⋊C4—316no—
338C4×Dic3—316no—
339C4×Dic3—316no—
340C4×Dic3—38no—
341C4×Dic3—38no—
342C22×C32—21no—
343C22×C32—21no—
344C22×C32—21no—
345C22×C32—21no—
346C22×C32—21no—
347C22×C32—21no—
348C22×C32—44no—
349C22×C32C22×Q812yes—
350C22×C32C22×Q812yes—
351C22×C32C22×Q812yes—
352C22×C32C2511yescharacteristic
353C2×C3⋊D3—22no—
354C2×C3⋊D3—22no—
355C2×C3⋊D3—44no—
356C2×C3⋊D3C22×Q814yes—
357C32×C4—21no—
358C32×C4—24no—
359C32×C4—21no—
360C32×C4—21no—
361C32×C4—24no—
362C32×C4H(5,𝔽2)12yes—
363C3⋊Dic3—24no—
364C3⋊Dic3—22no—
365C3⋊Dic3—22no—
366C3⋊Dic3—24no—
367C3⋊Dic3C22×Q814yes—
368C22×Q8—92no—
369C22×Q8—91no—
370C22×Q8C2×C3⋊D311yescharacteristic, complemented
371C22×D4—91no—
372C23×C4—91no—
373C23×C4C2×C3⋊D311yescharacteristic
374C4⋊Q8—92no—
375C4⋊Q8—94no—
376C4⋊Q8—92no—
377C4⋊Q8—94no—
378#125—94no—
379#125—94no—
380#125—94no—
381C22⋊Q8—92no—
382C22⋊Q8—94no—
383C22⋊Q8—92no—
384C22⋊Q8—92no—
385C22⋊Q8—92no—
386C22⋊Q8—92no—
387C22⋊Q8—94no—
388C22⋊Q8—94no—
389C22⋊Q8—92no—
390C22⋊Q8—94no—
391C22⋊Q8—94no—
392C22⋊Q8—94no—
393C22⋊Q8—94no—
394C22⋊Q8—94no—
395C22⋊Q8—94no—
396C22⋊Q8—94no—
397C22⋊Q8—94no—
398C22⋊Q8C2×C3⋊D312yes—
399C22⋊Q8C2×C3⋊D312yes—
400C22⋊Q8C2×C3⋊D312yescomplemented
401C22⋊Q8C2×C3⋊D312yescomplemented
402C4×Q8—92no—
403C4×Q8—92no—
404C4×Q8—94no—
405C4×D4—92no—
406C4×D4—92no—
407C4×D4—92no—
408C4×D4—92no—
409C4×D4—94no—
410C4×D4—94no—
411C4×D4—94no—
412C4×D4—94no—
413#117—94no—
414C2×C4⋊C4—91no—
415C2×C4⋊C4—92no—
416C2×C4⋊C4—91no—
417C2×C4⋊C4—94no—
418C2×C4⋊C4—92no—
419C2×C4⋊C4C2×C3⋊D312yescomplemented
420C2×C4⋊C4C2×C3⋊D311yescharacteristic, complemented
421C2×C22⋊C4—91no—
422C2×C22⋊C4—92no—
423C2×C22⋊C4—91no—
424C2×C22⋊C4—94no—
425C2×C22⋊C4C2×C3⋊D312yes—
426C2×C42—91no—
427C23×C3—44no—
428C23×C3—44no—
429C23×C3D3×Q8116yescomplemented
430C23×C3C23×D314yes—
431C23×C3C23×D314yes—
432C23×C3C23×D314yes—
433C22×D3—38no—
434C22×D3—316no—
435C22×D3—124no—
436C22×D3—124no—
437C3×Q8—216no—
438C3×Q8—48no—
439C2×C3×C4—28no—
440C2×C3×C4—28no—
441C2×C3×C4—28no—
442C2×C3×C4—44no—
443C2×C3×C4—44no—
444C2×C3×C4—44no—
445C2×C3×C4—48no—
446C2×C3×C4—48no—
447C2×C3×C4C23×D314yes—
448C2×C3×C4C23×D3116yes—
449C2×C3×C4C23×D3116yes—
450C2×C3×C4C23×D314yes—
451C2×C3×C4C23×D314yes—
452C2×C3×C4C23×D314yes—
453#67—332no—
454#67—332no—
455C2×Dic3—316no—
456C2×Dic3—38no—
457C2×Dic3—38no—
458C2×Dic3—316no—
459C2×Dic3—316no—
460C2×Dic3—38no—
461C2×Dic3—128no—
462C2×Dic3—124no—
463C2×Dic3—124no—
464C2×Dic3—128no—
465C4×D3—616no—
466C4×D3—1216no—
467C4×D3—128no—
468C4×D3—1216no—
469Dic6—616no—
470Dic6—1216no—
471Dic6—128no—
472Dic6—1216no—
473C2×C32—22no—
474C2×C32—22no—
475C2×C32—22no—
476C2×C32C23×Q811yescharacteristic
477C2×C32C2×H(5,𝔽2)11yescharacteristic
478C2×C32#58511yescharacteristic
479C3⋊D3—24no—
480C24—91no—
481C24C22×C3⋊D311yescharacteristic
482C2×Q8—42no—
483C2×Q8—92no—
484C2×Q8—94no—
485C2×Q8—92no—
486C2×Q8—94no—
487C2×Q8—362no—
488C2×Q8—364no—
489C2×Q8C22×C3⋊D312yes—
490C2×Q8C22×C3⋊D312yes—
491C2×D4—92no—
492C2×D4—92no—
493C2×D4—98no—
494C22×C4—42no—
495C22×C4—91no—
496C22×C4—91no—
497C22×C4—92no—
498C22×C4—92no—
499C22×C4—91no—
500C22×C4—92no—
501C22×C4—94no—
502C22×C4—94no—
503C22×C4—92no—
504C22×C4—362no—
505C22×C4C22×C3⋊D311yescharacteristic
506C22×C4C22×C3⋊D311yescharacteristic
507C22×C4C22×C3⋊D311yescharacteristic
508C22×C4C22×C3⋊D311yescharacteristic
509C22×C4C22×C3⋊D312yes—
510C22×C4C22×C3⋊D312yes—
511C22×C4C22×C3⋊D311yescharacteristic
512C22×C4C22×C3⋊D311yescharacteristic
513C4⋊C4—94no—
514C4⋊C4—92no—
515C4⋊C4—92no—
516C4⋊C4—92no—
517C4⋊C4—94no—
518C4⋊C4—92no—
519C4⋊C4—94no—
520C4⋊C4—94no—
521C4⋊C4—94no—
522C4⋊C4—94no—
523C4⋊C4—94no—
524C4⋊C4—94no—
525C4⋊C4—94no—
526C4⋊C4—94no—
527C4⋊C4C22×C3⋊D314yes—
528C4⋊C4C22×C3⋊D312yes—
529C4⋊C4C22×C3⋊D312yes—
530C4⋊C4C22×C3⋊D314yes—
531C22⋊C4—94no—
532C22⋊C4—92no—
533C22⋊C4—92no—
534C22⋊C4—94no—
535C22⋊C4—92no—
536C22⋊C4—92no—
537C22⋊C4—94no—
538C22⋊C4—94no—
539C22⋊C4C22×C3⋊D314yes—
540C22⋊C4C22×C3⋊D314yes—
541C42—92no—
542C42—92no—
543C42—94no—
544C42—94no—
545C22×C3—24no—
546C22×C3—24no—
547C22×C3—24no—
548C22×C3—24no—
549C22×C3—24no—
550C22×C3—24no—
551C22×C3—416no—
552C22×C3C2×D3×Q818yes—
553C22×C3C2×D3×Q818yes—
554C22×C3C2×D3×Q818yes—
555C22×C3C24×D314yes—
556C2×D3—316no—
557C2×D3—68no—
558C2×D3—68no—
559C2×D3—1216no—
560C3×C4—24no—
561C3×C4—216no—
562C3×C4—24no—
563C3×C4—24no—
564C3×C4—216no—
565C3×C4#100418yes—
566Dic3—316no—
567Dic3—616no—
568Dic3—68no—
569Dic3—68no—
570Dic3—616no—
571C32#350111yescharacteristic, complemented, Sylow
572C23—41no—
573C23—41no—
574C23—92no—
575C23—94no—
576C23—361no—
577C23—361no—
578C23Q8×C3⋊D314yescomplemented
579C23C23×C3⋊D311yescharacteristic
580C23C23×C3⋊D311yescharacteristic
581C23C23×C3⋊D311yescharacteristic
582Q8—24no—
583Q8—42no—
584Q8—184no—
585Q8—362no—
586Q8—364no—
587Q8—364no—
588D4—98no—
589D4—98no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—94no—
599C2×C4—92no—
600C2×C4—92no—
601C2×C4—94no—
602C2×C4—94no—
603C2×C4—92no—
604C2×C4—184no—
605C2×C4—362no—
606C2×C4—364no—
607C2×C4—364no—
608C2×C4—361no—
609C2×C4—362no—
610C2×C4—362no—
611C2×C4—361no—
612C2×C4C23×C3⋊D311yescharacteristic
613C2×C4C23×C3⋊D314yes—
614C2×C4C23×C3⋊D314yes—
615C2×C4C23×C3⋊D311yescharacteristic
616C2×C4C23×C3⋊D311yescharacteristic
617C2×C4C23×C3⋊D311yescharacteristic
618C2×C3—28no—
619C2×C3—28no—
620C2×C3—28no—
621C2×C3C2×#100414yes—
622C2×C3C22×D3×Q814yes—
623C2×C3#596414yes—
624D3—616no—
625C22—21no—
626C22—21no—
627C22—21no—
628C22—21no—
629C22—21no—
630C22—21no—
631C22—44no—
632C22—94no—
633C22—182no—
634C22—182no—
635C22—364no—
636C22C2×Q8×C3⋊D312yes—
637C22C2×Q8×C3⋊D312yes—
638C22C2×Q8×C3⋊D312yes—
639C22C24×C3⋊D311yescharacteristic
640C4—21no—
641C4—21no—
642C4—21no—
643C4—24no—
644C4—24no—
645C4—94no—
646C4—182no—
647C4—184no—
648C4—184no—
649C4—182no—
650C4#6436112yes—
651C3#8598614yescomplemented
652C2—22no—
653C2—22no—
654C2—22no—
655C2—184no—
656C2C2×#6436111yescharacteristic
657C2C22×Q8×C3⋊D311yescharacteristic
658C2#1059675611yescharacteristic
subgroupG/H
center, FrattiniC22C24×C3⋊D3
commutator, socle, cosocleC22×C32C25
FittingC2×C32×C22⋊Q8C2
prime radicalC22×#638C22
hypercenterC2×C22⋊Q8C3⋊D3
hypocenterC32#3501
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×C32×C22⋊Q8C2semidirect
2. Q8×#638C2semidirect
4. C2×#64133C2semidirect
5. #10596107C2semidirect
6. #10596106C2semidirect
7. #10596105C2semidirect
8. #10596103C2semidirect
9. C3⋊D3×C22⋊Q8C2semidirect
10. #10596094C2semidirect
11. #10596093C2semidirect
12. #10595982C2semidirect
13. #10595982C2semidirect
15. #10595954C2semidirect
17. C22×C32×Q8C22semidirect
20. C2×Q8×C3⋊D3C22semidirect
22. C22×#634C22semidirect
25. C32×C22⋊Q8C22semidirect
26. C32×C22⋊Q8C22semidirect
27. C2×C32×C4⋊C4C22semidirect
28. C2×C32×C4⋊C4C22semidirect
32. #64155C22semidirect
33. #64155C22semidirect
34. Q8×C3⋊Dic3C22semidirect
35. #64153C22semidirect
36. #64153C22semidirect
44. C2×C4⋊(C3⋊Dic3)C22semidirect
47. #64133C22semidirect
48. #64133C22semidirect
49. #64133C22semidirect
50. #64133C22semidirect
52. C2×#3750C22semidirect
54. #64106C22semidirect
55. #64106C22semidirect
56. #64105C22semidirect
57. #64105C22semidirect
58. #64105C22semidirect
59. C4⋊C4×C3⋊D3C22semidirect
60. C4⋊C4×C3⋊D3C22semidirect
61. #64098C22semidirect
62. #64098C22semidirect
63. #64098C22semidirect
64. #64097C22semidirect
65. #64097C22semidirect
66. #64096C22semidirect
67. #64096C22semidirect
73. #64087C22semidirect
74. #64087C22semidirect
76. C2×C3×C22⋊Q8D3semidirect
105. C2×#638Q8semidirect
157. C22×C3×Q8C2×D3semidirect
165. C3×C22⋊Q8C2×D3semidirect
166. C3×C22⋊Q8C2×D3semidirect
167. C2×C3×C4⋊C4C2×D3semidirect
168. C2×C3×C4⋊C4C2×D3semidirect
218. C23×C32C2×Q8semidirect
224. C22×C3⋊D3C2×Q8semidirect
242. #638C2×Q8semidirect
243. #638C2×Q8semidirect
248. C2×C3⋊Dic3C2×Q8semidirect
274. C2×C22⋊Q8C3⋊D3semidirect
370. C22×Q8C2×C3⋊D3semidirect
400. C22⋊Q8C2×C3⋊D3semidirect
401. C22⋊Q8C2×C3⋊D3semidirect
419. C2×C4⋊C4C2×C3⋊D3semidirect
420. C2×C4⋊C4C2×C3⋊D3semidirect
429. C23×C3D3×Q8semidirect
571. C32#3501semidirect
578. C23Q8×C3⋊D3semidirect
651. C3#85986semidirect

Maximal subgroups

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

subgroupindex
C2×C32×C22⋊Q82
Q8×#6382
C2×C4×#6382
C2×#641332
#105961072
#105961062
#105961052
#105961032
C3⋊D3×C22⋊Q82
#105960942
#105960932
#105959822
#105959572
#105959542
#859863