Finite Group Databasebeta

← #11864202

Subgroups — #11864202

Order 1152.

1582 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3795C211yesmaximal, characteristic
2C3×D3×C22⋊Q8C211yesmaximal, characteristic, complemented
3C2×#63946C212yesmaximal, complemented
4#10592749C211yesmaximal, characteristic, complemented
5C3×#5046C211yesmaximal, characteristic, complemented
6#10591655C212yesmaximal, complemented
7#10591190C211yesmaximal, characteristic, complemented
8#10591169C211yesmaximal, characteristic, complemented
9#10591154C211yesmaximal, characteristic, complemented
10#10590614C212yesmaximal, complemented
11#10590607C212yesmaximal, complemented
12#82735—31nomaximal
13#80147—31nomaximal
14C22×#634C2211yescharacteristic
15C2×C3×D3×Q8C2211yescharacteristic, complemented
16C22×C3×D12C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C22×#625—21no—
19C22×D3×Dic3—21no—
20C2×#3795—21no—
21C2×#3795—21no—
22C2×#3795—28no—
23C2×#3795C2212yes—
24C2×#3795C2212yes—
25C32×C22⋊Q8C2211yescharacteristic
26C2×#3756C2212yescomplemented
27C3×#946C2211yescharacteristic, complemented
28C2×C3×#215C2212yescomplemented
29C3×#924C2211yescharacteristic
30C3×#897C2211yescharacteristic, complemented
31C3×#896—21no—
32C3×D3×C4⋊C4—21no—
33C3×D3×C4⋊C4C2211yescharacteristic, complemented
34C3×D3×C22⋊C4—21no—
35C3×#878—21no—
36#63946—28no—
37C2×#3719C2212yescomplemented
38C2×#3715C2212yescomplemented
39C2×#3711C2212yescomplemented
40#63657C2211yescharacteristic
41#63637C2212yescomplemented
42C3×#830C2211yescharacteristic
43C3×#809C2212yescomplemented
44#63567C2212yescomplemented
45#63562C2212yescomplemented
46(C2×D3)⋊(C3⋊C8)C2212yescomplemented
47C22×#237—31no—
48C22×#235—31no—
49C2×C3×C22⋊Q8—31no—
50C2×#942—32no—
51C2×#915—32no—
52D3×C22⋊Q8D311yescharacteristic, complemented
53C3×#450—31no—
54#5218—31no—
55#5207—31no—
56#5173—32no—
57#5050—31no—
58#5050—31no—
59#5050—31no—
60#5050—61no—
61#5047—32no—
62#5047—32no—
63#5046—31no—
64#5046D311yescharacteristic, complemented
65#4966—32no—
66#4783—32no—
67#4771—32no—
68#4739—31no—
69#4726—31no—
70C23×C3×D3—21no—
71C23×C3×D3D411yescharacteristic
72C2×C32×Q8C2311yescharacteristic
73C22×C32×C4C2311yescharacteristic
74C22×C3⋊Dic3—21no—
75C2×#634—21no—
76C2×#634—24no—
77C2×#634C2312yes—
78C22×C3×Dic3D411yescharacteristic
79C3×D3×Q8—24no—
80C2×C3×D12—21no—
81C2×C3×D12—24no—
82C2×C3×D12C2312yes—
83C2×C3×C4×D3—24no—
84C2×C3×C4×D3—21no—
85C2×C3×C4×D3—21no—
86C2×C3×C4×D3D411yescharacteristic
87C2×C3×C4×D3D411yescharacteristic
88C2×C3×C4×D3C2311yescharacteristic
89C2×C3×C4×D3C2311yescharacteristic
90C2×C3×Dic6—21no—
91C2×C3×Dic6C2311yescharacteristic
92C2×#625—28no—
93C2×#625—22no—
94C2×#625—22no—
95C2×D3×Dic3—28no—
96C2×D3×Dic3—22no—
97C2×D3×Dic3—22no—
98#3795—28no—
99#3795—28no—
100#3795—24no—
101#3795—24no—
102#3795—24no—
103#3795D418yes—
104C32×C4⋊C4—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C22⋊C4—21no—
107#3756—24no—
108C2×C3⋊(C3⋊C8)C2312yes—
109C3×#217—21no—
110C3×#215—24no—
111C3×(C2×D3)⋊C4—21no—
112C3×(C2×D3)⋊C4—21no—
113C3×C4⋊Dic3—21no—
114C3×C4⋊Dic3C2311yescharacteristic
115C3×Dic3⋊C4—21no—
116C3×Dic3⋊C4—21no—
117C3×Dic3⋊C4—21no—
118C2×C3×C3⋊C8C2312yes—
119#3719—24no—
120#3715—24no—
121#3711—24no—
122#3007—91noSylow
123C22×C3×Q8—31no—
124C22×C3×D4—31no—
125C23×C3×C4—31no—
126C22×#67—61no—
127C22×#67—61no—
128C23×Dic3—61no—
129C2×D3×Q8C2×D311yescharacteristic, complemented
130C2×#237—32no—
131C2×#237—32no—
132C2×#237—68no—
133C2×#237—61no—
134C2×#237—61no—
135C2×#235—32no—
136C2×#235—32no—
137C2×#235—68no—
138C2×#235—61no—
139C2×#235—61no—
140C22×D12C2×D311yescharacteristic
141C22×C4×D3—61no—
142C22×C4×D3C2×D311yescharacteristic
143C22×Dic6—31no—
144C22×Dic6—31no—
145C22×Dic6—61no—
146C2×C3×SD16—32no—
147C3×C22⋊Q8—21no—
148C3×C22⋊Q8—31no—
149C3×C22⋊Q8—31no—
150C3×C22⋊Q8—31no—
151C3×C22⋊Q8—61no—
152C3×C22⋊Q8—61no—
153C3×C22⋊Q8C2×D311yescharacteristic
154C3×C22⋊Q8C2×D311yescharacteristic
155C2×C3×C4⋊C4—31no—
156C2×C3×C4⋊C4—61no—
157C2×C3×C22⋊C4—61no—
158#946C2×D311yescharacteristic, complemented
159C2×#216—32no—
160C2×#216—32no—
161C2×#216—32no—
162C2×#216—62no—
163#942—68no—
164C2×#215—32no—
165C2×#215C2×D312yescomplemented
166C2×#214—32no—
167#924C2×D311yescharacteristic
168C2×#208—32no—
169#915—68no—
170C2×Dic12—32no—
171C2×ΓL(1,𝔽25)—32no—
172#897C2×D311yescharacteristic, complemented
173#896—21no—
174D3×C4⋊C4—21no—
175D3×C4⋊C4C2×D311yescharacteristic, complemented
176D3×C22⋊C4—21no—
177#878—21no—
178C3×#102—32no—
179C3×C22⋊C8—31no—
180#832—32no—
181#830—31no—
182#830—31no—
183#830—32no—
184#830—61no—
185#830C2×D311yescharacteristic
186(C2×D3)⋊C8—32no—
187#816—32no—
188#810—32no—
189#810—32no—
190#810—32no—
191#810—62no—
192#809—32no—
193#809C2×D312yescomplemented
194C23×C32C2×D411yescharacteristic
195C22×C3×D3—24no—
196C22×C3×D3—22no—
197C22×C3×D3—22no—
198C22×C3×D3—22no—
199C22×C3×D3—41no—
200C22×C3×D3—42no—
201C22×C3×D3—42no—
202C22×C3×D3C2×D411yescharacteristic
203C22×C3×D3C2×D411yescharacteristic
204C32×Q8—22no—
205C2×C32×C4—22no—
206C2×C32×C4—21no—
207C2×C32×C4—21no—
208C2×C32×C4C2×D411yescharacteristic
209C2×C32×C4C2411yescharacteristic
210C2×C3⋊Dic3—24no—
211C2×C3⋊Dic3—22no—
212#634—24no—
213#634—22no—
214#634C2×D414yes—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—21no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3C2×D411yescharacteristic
219C2×C3×Dic3C2×D411yescharacteristic
220C3×D12—24no—
221C3×D12—22no—
222C3×D12C2×D414yes—
223C3×C4×D3—22no—
224C3×C4×D3—22no—
225C3×C4×D3—22no—
226C3×C4×D3—42no—
227C3×C4×D3—42no—
228C3×C4×D3C2×D414yes—
229C3×Dic6—22no—
230C3×Dic6—42no—
231#625—28no—
232#625—28no—
233D3×Dic3—28no—
234D3×Dic3—28no—
235C3⋊(C3⋊C8)—22no—
236C3×C3⋊C8—22no—
237C22×#41—91no—
238C2×#137—92no—
239C2×C22⋊Q8—31no—
240#452—92no—
241#452—92no—
242#451—91no—
243#451—91no—
244#450—31no—
245#450—91no—
246#417—92no—
247#407—91no—
248C24×C3—31no—
249C24×C3—61no—
250C23×D3—21no—
251C23×D3#6711yescharacteristic
252C2×C3×Q8—21no—
253C2×C3×Q8—31no—
254C2×C3×Q8—61no—
255C2×C3×Q8—64no—
256C2×C3×Q8C22×D311yescharacteristic
257C2×C3×Q8C22×D311yescharacteristic
258C2×C3×D4—32no—
259C2×C3×D4—64no—
260C2×C3×D4—61no—
261C22×C3×C4—21no—
262C22×C3×C4—31no—
263C22×C3×C4—31no—
264C22×C3×C4—31no—
265C22×C3×C4—31no—
266C22×C3×C4—31no—
267C22×C3×C4—64no—
268C22×C3×C4—61no—
269C22×C3×C4—61no—
270C22×C3×C4C22×D311yescharacteristic
271C22×C3×C4C22×D311yescharacteristic
272C2×#67—62no—
273C2×#67—62no—
274C2×#67—68no—
275C2×#67—68no—
276C2×#67—62no—
277C2×#67—62no—
278C22×Dic3—68no—
279C22×Dic3—61no—
280C22×Dic3—61no—
281C22×Dic3—62no—
282C22×Dic3—62no—
283C22×Dic3—121no—
284C22×Dic3#6711yescharacteristic
285D3×Q8—24no—
286#237—38no—
287#237—64no—
288#237—64no—
289#237—68no—
290#237—68no—
291#237—64no—
292#235—38no—
293#235—64no—
294#235—64no—
295#235—68no—
296#235—68no—
297#235—64no—
298C2×D12—21no—
299C2×D12—24no—
300C2×D12C22×D312yes—
301C2×C4×D3—24no—
302C2×C4×D3—21no—
303C2×C4×D3—21no—
304C2×C4×D3—62no—
305C2×C4×D3—62no—
306C2×C4×D3—68no—
307C2×C4×D3#6711yescharacteristic
308C2×C4×D3#6711yescharacteristic
309C2×C4×D3C22×D311yescharacteristic
310C2×C4×D3C22×D311yescharacteristic
311C2×Dic6—21no—
312C2×Dic6—32no—
313C2×Dic6—32no—
314C2×Dic6—62no—
315C2×Dic6—64no—
316C2×Dic6—64no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6—124no—
320C2×Dic6—121no—
321C2×Dic6C22×D311yescharacteristic
322C3×SD16—64no—
323C2×C3×C8—32no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—41no—
329C3×C4⋊C4—61no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4C22×D311yescharacteristic
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C22⋊C4—21no—
336C3×C22⋊C4—21no—
337C3×C22⋊C4—41no—
338C3×C22⋊C4—61no—
339C3×C22⋊C4—61no—
340C3×C22⋊C4—61no—
341#217—21no—
342#216—64no—
343#216—64no—
344#216—64no—
345#216—124no—
346#215—24no—
347#215—64no—
348#214—64no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351C4⋊Dic3—21no—
352C4⋊Dic3C22×D311yescharacteristic
353Dic3⋊C4—21no—
354Dic3⋊C4—21no—
355Dic3⋊C4—21no—
356#208—64no—
357C2×C3⋊C8—32no—
358C2×C3⋊C8—32no—
359C2×C3⋊C8—62no—
360C2×C3⋊C8C22×D312yes—
361Dic12—64no—
362ΓL(1,𝔽25)—64no—
363C22×C32—21no—
364C22×C32—21no—
365C22×C32#13712yescomplemented
366C22×C32C22×D411yescharacteristic
367C2×C3×D3—21no—
368C2×C3×D3—21no—
369C2×C3×D3—24no—
370C2×C3×D3—21no—
371C2×C3×D3—21no—
372C2×C3×D3—21no—
373C2×C3×D3—44no—
374C2×C3×D3—48no—
375C2×C3×D3—42no—
376C2×C3×D3—42no—
377C2×C3×D3#12012yes—
378C32×C4—21no—
379C32×C4—41no—
380C32×C4—41no—
381C32×C4C22×D412yes—
382C3⋊Dic3—24no—
383C3×Dic3—21no—
384C3×Dic3—41no—
385C3×Dic3—41no—
386C3×Dic3#12012yes—
387C2×#41—92no—
388C2×#41—92no—
389C2×#41—181no—
390C2×#41—181no—
391C2×#41—188no—
392C22×Q8—31no—
393C22×Q8—91no—
394C22×D4—31no—
395C22×D4—181no—
396C23×C4—31no—
397C23×C4—181no—
398#137—188no—
399C2×Q16—92no—
400C2×Q16—92no—
401C2×SD16—32no—
402C2×SD16—92no—
403C2×M16—92no—
404C22⋊Q8—31no—
405C22⋊Q8—31no—
406C22⋊Q8—31no—
407C22⋊Q8—61no—
408C22⋊Q8—61no—
409C22⋊Q8D3211yescharacteristic
410C2×C4⋊C4—31no—
411C2×C4⋊C4—61no—
412C2×C22⋊C4—61no—
413#103—92no—
414#103—92no—
415#102—32no—
416#102—92no—
417C22⋊C8—31no—
418C22⋊C8—92no—
419C22⋊C8—91no—
420C23×C3—21no—
421C23×C3—31no—
422C23×C3—31no—
423C23×C3—62no—
424C23×C3—64no—
425C23×C3—62no—
426C23×C3—62no—
427C23×C3—121no—
428C23×C3—122no—
429C23×C3—122no—
430C23×C3D3×D411yescharacteristic
431C23×C3C2×#6711yescharacteristic
432C22×D3—24no—
433C22×D3—22no—
434C22×D3—22no—
435C22×D3—22no—
436C22×D3—41no—
437C22×D3—42no—
438C22×D3—42no—
439C22×D3C2×#6711yescharacteristic
440C22×D3C2×#6711yescharacteristic
441C3×Q8—22no—
442C3×Q8—22no—
443C3×Q8—42no—
444C3×Q8—62no—
445C3×Q8—122no—
446C3×D4—34no—
447C3×D4—64no—
448C3×D4—62no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—21no—
452C2×C3×C4—21no—
453C2×C3×C4—21no—
454C2×C3×C4—21no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—31no—
458C2×C3×C4—34no—
459C2×C3×C4—31no—
460C2×C3×C4—42no—
461C2×C3×C4—41no—
462C2×C3×C4—41no—
463C2×C3×C4—62no—
464C2×C3×C4—62no—
465C2×C3×C4—62no—
466C2×C3×C4—62no—
467C2×C3×C4—61no—
468C2×C3×C4—61no—
469C2×C3×C4—122no—
470C2×C3×C4—122no—
471C2×C3×C4D3×D411yescharacteristic
472C2×C3×C4C2×#6711yescharacteristic
473C2×C3×C4C23×D311yescharacteristic
474C2×C3×C4C23×D311yescharacteristic
475#67—68no—
476#67—68no—
477#67—68no—
478#67—68no—
479C2×Dic3—22no—
480C2×Dic3—21no—
481C2×Dic3—21no—
482C2×Dic3—68no—
483C2×Dic3—64no—
484C2×Dic3—64no—
485C2×Dic3—62no—
486C2×Dic3—62no—
487C2×Dic3—68no—
488C2×Dic3—122no—
489C2×Dic3—124no—
490C2×Dic3C2×#6711yescharacteristic
491C2×Dic3C2×#6711yescharacteristic
492D12—24no—
493D12—22no—
494D12D3×D414yes—
495C4×D3—22no—
496C4×D3—22no—
497C4×D3—22no—
498C4×D3—42no—
499C4×D3—42no—
500C4×D3—68no—
501C4×D3—68no—
502C4×D3D3×D414yes—
503Dic6—22no—
504Dic6—34no—
505Dic6—34no—
506Dic6—42no—
507Dic6—64no—
508Dic6—64no—
509Dic6—64no—
510Dic6—62no—
511Dic6—62no—
512Dic6—122no—
513Dic6—124no—
514C3×C8—62no—
515C3⋊C8—22no—
516C3⋊C8—62no—
517C3⋊C8—62no—
518C3⋊C8—122no—
519C2×C32—22no—
520C2×C32C2×#12011yescharacteristic
521C2×C32C2×#13711yescharacteristic
522C2×C32#57511yescharacteristic
523C3×D3—22no—
524C3×D3—41no—
525C3×D3—44no—
526C24—31no—
527C24—61no—
528#41—98no—
529#41—184no—
530#41—184no—
531#41—184no—
532#41—188no—
533#41—188no—
534C2×Q8—31no—
535C2×Q8—61no—
536C2×Q8—64no—
537C2×Q8—92no—
538C2×Q8—184no—
539C2×Q8—181no—
540C2×Q8C2×D3211yescharacteristic
541C2×D4—32no—
542C2×D4—64no—
543C2×D4—61no—
544C2×D4—182no—
545C2×D4—182no—
546C2×D4—188no—
547C22×C4—31no—
548C22×C4—31no—
549C22×C4—31no—
550C22×C4—31no—
551C22×C4—31no—
552C22×C4—64no—
553C22×C4—61no—
554C22×C4—61no—
555C22×C4—182no—
556C22×C4—182no—
557C22×C4—188no—
558C22×C4—181no—
559C22×C4C2×D3211yescharacteristic
560Q16—184no—
561Q16—184no—
562SD16—64no—
563SD16—184no—
564M16—184no—
565C2×C8—32no—
566C2×C8—92no—
567C4⋊C4—21no—
568C4⋊C4—31no—
569C4⋊C4—61no—
570C4⋊C4—61no—
571C4⋊C4—61no—
572C4⋊C4—61no—
573C4⋊C4C2×D3211yescharacteristic
574C22⋊C4—21no—
575C22⋊C4—61no—
576C22⋊C4—61no—
577C22⋊C4—61no—
578C22×C3—21no—
579C22×C3—21no—
580C22×C3—21no—
581C22×C3—21no—
582C22×C3—21no—
583C22×C3—22no—
584C22×C3—32no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—61no—
588C22×C3—61no—
589C22×C3—61no—
590C22×C3—61no—
591C22×C3—64no—
592C22×C3—61no—
593C22×C3—124no—
594C22×C3—128no—
595C22×C3—122no—
596C22×C3—122no—
597C22×C3#91512yescomplemented
598C22×C3#94212yescomplemented
599C22×C3C2×D3×D411yescharacteristic
600C22×C3C22×#6711yescharacteristic
601C2×D3—21no—
602C2×D3—21no—
603C2×D3—21no—
604C2×D3—21no—
605C2×D3—21no—
606C2×D3—24no—
607C2×D3—44no—
608C2×D3—48no—
609C2×D3—42no—
610C2×D3—42no—
611C2×D3#93712yes—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—22no—
615C3×C4—32no—
616C3×C4—41no—
617C3×C4—41no—
618C3×C4—41no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—61no—
622C3×C4—81no—
623C3×C4—81no—
624C3×C4—121no—
625C3×C4—121no—
626C3×C4C2×D3×D412yes—
627C3×C4C2×D3×D412yes—
628Dic3—21no—
629Dic3—41no—
630Dic3—41no—
631Dic3—64no—
632Dic3—64no—
633Dic3—124no—
634Dic3#93712yes—
635C32#300711yescharacteristic, complemented, Sylow
636C23—31no—
637C23—31no—
638C23—62no—
639C23—64no—
640C23—62no—
641C23—62no—
642C23—121no—
643C23—122no—
644C23—122no—
645C23D3×#6711yescharacteristic
646Q8—22no—
647Q8—62no—
648Q8—94no—
649Q8—122no—
650Q8—184no—
651Q8—182no—
652D4—34no—
653D4—64no—
654D4—62no—
655D4—188no—
656D4—188no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—31no—
661C2×C4—34no—
662C2×C4—31no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—122no—
670C2×C4—122no—
671C2×C4—188no—
672C2×C4—188no—
673C2×C4—184no—
674C2×C4—182no—
675C2×C4D3×#6711yescharacteristic
676C2×C4C22×D3211yescharacteristic
677C8—62no—
678C8—182no—
679C2×C3—22no—
680C2×C3—22no—
681C2×C3—21no—
682C2×C3—21no—
683C2×C3—21no—
684C2×C3—42no—
685C2×C3—62no—
686C2×C3—121no—
687C2×C3—124no—
688C2×C3D3×#12011yescharacteristic
689C2×C3C2×#91511yescharacteristic
690C2×C3#577311yescharacteristic
691C2×C3C2×#93711yescharacteristic
692C2×C3C2×#94211yescharacteristic
693C2×C3#582211yescharacteristic
694D3—22no—
695D3—44no—
696D3—41no—
697C22—21no—
698C22—21no—
699C22—32no—
700C22—61no—
701C22—61no—
702C22—61no—
703C22—61no—
704C22—61no—
705C22—64no—
706C22—124no—
707C22—128no—
708C22—122no—
709C22—122no—
710C22#6394612yescomplemented
711C22C2×D3×#6711yescharacteristic
712C4—21no—
713C4—32no—
714C4—41no—
715C4—41no—
716C4—61no—
717C4—121no—
718C4—121no—
719C4—184no—
720C4D32×D412yes—
721C3—21no—
722C3#8014711yescharacteristic, complemented
723C3#8273511yescharacteristic, complemented
724C2—22no—
725C2—62no—
726C2—121no—
727C2—124no—
728C2D3×#93711yescharacteristic
729C2C2×#6394611yescharacteristic
730C2#1059546911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊Q8C22
socleC22×C32C22×D4
prime radicalC22×#3795C2
hypercenterC22⋊Q8D32
hypocenterC32#3007
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C3×D3×C22⋊Q8C2semidirect
3. C2×#63946C2semidirect
4. #10592749C2semidirect
5. C3×#5046C2semidirect
6. #10591655C2semidirect
7. #10591190C2semidirect
8. #10591169C2semidirect
9. #10591154C2semidirect
10. #10590614C2semidirect
11. #10590607C2semidirect
15. C2×C3×D3×Q8C22semidirect
26. C2×#3756C22semidirect
27. C3×#946C22semidirect
28. C2×C3×#215C22semidirect
30. C3×#897C22semidirect
33. C3×D3×C4⋊C4C22semidirect
37. C2×#3719C22semidirect
38. C2×#3715C22semidirect
39. C2×#3711C22semidirect
41. #63637C22semidirect
43. C3×#809C22semidirect
44. #63567C22semidirect
45. #63562C22semidirect
46. (C2×D3)⋊(C3⋊C8)C22semidirect
52. D3×C22⋊Q8D3semidirect
64. #5046D3semidirect
129. C2×D3×Q8C2×D3semidirect
158. #946C2×D3semidirect
165. C2×#215C2×D3semidirect
172. #897C2×D3semidirect
175. D3×C4⋊C4C2×D3semidirect
193. #809C2×D3semidirect
365. C22×C32#137semidirect
597. C22×C3#915semidirect
598. C22×C3#942semidirect
635. C32#3007semidirect
710. C22#63946semidirect
722. C3#80147semidirect
723. C3#82735semidirect

Maximal subgroups

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

subgroupindex
C22×#37952
C3×D3×C22⋊Q82
C2×#639462
#105927492
C3×#50462
#105916552
#105911902
#105911692
#105911542
#105906142
#105906072
#827353
#801473