Finite Group Databasebeta

← #11900178

Subgroups — #11900178

Order 1152.

3769 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64361C211yesmaximal, characteristic
2C3×#5798C211yesmaximal, characteristic, complemented
3C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
4#10595510C214yesmaximal, complemented
5C2×#63952C214yesmaximal, complemented
6#10595223C214yesmaximal, complemented
7#10595219C214yesmaximal, complemented
8#10595190C214yesmaximal, complemented
9D4×#624C214yesmaximal, complemented
10#10594990C212yesmaximal, complemented
11#10594954C212yesmaximal, complemented
12#85857—31nomaximal
13C4×#1004—31nomaximal
14C22×C32×D4C2211yescharacteristic
15C22×#638C2214yes—
16#64361C4116yescomplemented
17C2×#3830C2214yes—
18C2×D4×C3⋊D3C2214yes—
19C2×#3828C2212yes—
20C23×C3×Dic3C2212yescomplemented
21C22×#624C2214yescomplemented
22C2×C3×#217C2212yescomplemented
23C2×C3×#217C2214yescomplemented
24C3×D4×Dic3C2214yescomplemented
25C3×D4×Dic3C2214yescomplemented
26C3×D4×Dic3C2214yescomplemented
27C3×D4×Dic3C2214yescomplemented
28C3×#926C2212yescomplemented
29C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
30C2×C3×C4×Dic3C2211yescharacteristic, complemented
31#63974C2218yescomplemented
32C2×#3724C2214yescomplemented
33C2×#3722C2214yescomplemented
34#63957C2218yescomplemented
35C2×Dic32C2214yescomplemented
36#63952C2218yescomplemented
37#63952C2218yescomplemented
38#63952C2218yescomplemented
39#63952C2214yescomplemented
40#63952C2214yescomplemented
41#63952C2218yescomplemented
42#63952C2218yescomplemented
43#63900C2214yescomplemented
44#63894C2212yescomplemented
45#63894C2214yescomplemented
46#63894C2212yescomplemented
47C4×#624C2214yescomplemented
48#63874C2214yescomplemented
49#63849C2214yescomplemented
50#63844C2212yescomplemented
51#63844C2214yescomplemented
52#63844C2212yescomplemented
53C2×#1004—31no—
54C2×#1004—31no—
55C2×#1004—61no—
56C3×#518—31no—
57C2×C3×C4×D4—31no—
58#5798D311yescharacteristic, complemented
59C2×D4×Dic3D311yescharacteristic, complemented
60C2×C4×#67—34no—
61#5546—34no—
62#5546—34no—
63#5545—34no—
64#5545—34no—
65C4×D3×D4—34no—
66C4×D3×D4—34no—
67C4×#237—34no—
68C4×#237—34no—
69#5523—32no—
70#5522—32no—
71#5504—32no—
72#5486—34no—
73#5486—34no—
74C2×#67⋊C4—34no—
75C4×#235—32no—
76C24×C32C2312yes—
77C23×C3⋊D3C2314yes—
78C2×C32×D4C2×C418yescomplemented
79C2×C32×D4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C2×#638C2×C4132yescomplemented
82C2×#638C2314yes—
83C2×#638C2318yes—
84C22×C3⋊Dic3C2314yes—
85#3830C2×C4132yescomplemented
86D4×C3⋊D3C2×C4132yescomplemented
87#3828C2×C4116yescomplemented
88C2×C4⋊(C3⋊D3)C2312yes—
89C2×C4×C3⋊D3C2314yes—
90C2×#634C2312yes—
91C22×C3×Dic3—44no—
92C22×C3×Dic3C2311yescharacteristic
93C22×C3×Dic3C2314yes—
94C22×C3×Dic3C2311yescharacteristic
95C22×C3×Dic3C2312yes—
96C22×C3×Dic3C2314yes—
97C22×C3×Dic3C2314yes—
98C22×C3×Dic3C2314yes—
99C2×#624—48no—
100C2×#624C2314yes—
101C2×#624C2318yes—
102C2×#624C2314yes—
103C3×#217C2314yes—
104C3×#217C2318yes—
105C3×#217C2318yes—
106C3×C4⋊Dic3C2314yes—
107C3×C4⋊Dic3C2312yes—
108C3×C4⋊Dic3C2312yes—
109C3×C4×Dic3C2312yes—
110C3×C4×Dic3C2312yes—
111C3×C4×Dic3C2314yes—
112#3724C2314yes—
113#3724C2314yes—
114#3724C2318yes—
115#3722C2318yes—
116#3722C2314yes—
117#3722C2314yes—
118Dic32C2318yes—
119Dic32C2314yes—
120Dic32C2314yes—
121C4×H(5,𝔽2)—91noSylow
122C22×C3×D4—21no—
123C22×C3×D4C2×D311yescharacteristic
124C22×C3×D4C2×D311yescharacteristic
125C23×C3×C4—32no—
126C22×#67—34no—
127C22×#67—34no—
128C22×#67—64no—
129C23×Dic3C2×D312yescomplemented
130#1004—316no—
131#1004—316no—
132#1004—616no—
133C2×#237—34no—
134C2×#237—34no—
135C2×#237—64no—
136C2×D3×D4—34no—
137C2×D3×D4—34no—
138C2×D3×D4—64no—
139C2×#235—32no—
140C2×#235—32no—
141C2×#235—62no—
142C22×C4×D3—34no—
143C22×C4×D3—34no—
144C3×C4×D4—34no—
145C3×C4×D4—34no—
146C3×C4×D4—34no—
147C3×C4×D4—34no—
148C3×#117—32no—
149C2×C3×C4⋊C4—31no—
150C2×C3×C22⋊C4—34no—
151C2×C3×C22⋊C4—32no—
152C2×C3×C42—31no—
153C2×#217C2×D312yescomplemented
154C2×#217C2×D314yescomplemented
155D4×Dic3C2×D314yescomplemented
156D4×Dic3C2×D314yescomplemented
157D4×Dic3C2×D314yescomplemented
158D4×Dic3C2×D314yescomplemented
159C4×#67—34no—
160C4×#67—34no—
161C4×#67—38no—
162C4×#67—38no—
163C4×#67—38no—
164C4×#67—38no—
165C4×#67—38no—
166C2×(C2×D3)⋊C4—34no—
167C2×(C2×D3)⋊C4—34no—
168#926C2×D312yescomplemented
169C2×C4⋊Dic3C2×D311yescharacteristic, complemented
170C2×Dic3⋊C4—34no—
171C2×Dic3⋊C4—34no—
172C2×C4×Dic3—34no—
173C2×C4×Dic3—34no—
174C2×C4×Dic3C2×D311yescharacteristic, complemented
175#893—34no—
176#893—32no—
177#893—32no—
178#892—34no—
179#892—34no—
180D3×C4⋊C4—34no—
181D3×C4⋊C4—34no—
182#887—34no—
183#887—32no—
184#887—32no—
185#67⋊C4—34no—
186#67⋊C4—38no—
187#67⋊C4—38no—
188#67⋊C4—38no—
189#67⋊C4—34no—
190#67⋊C4—38no—
191#67⋊C4—38no—
192D3×C22⋊C4—38no—
193D3×C22⋊C4—38no—
194#877—38no—
195#877—38no—
196C4×D12—32no—
197C4×D12—32no—
198C4×D12—34no—
199#872—34no—
200#872—34no—
201C42×D3—34no—
202C42×D3—34no—
203C4×Dic6—32no—
204C4×Dic6—32no—
205C4×Dic6—34no—
206C23×C32—42no—
207C23×C32—42no—
208C23×C32C22×C418yescomplemented
209C23×C32C2414yes—
210C23×C32C2411yescharacteristic
211C22×C3⋊D3—44no—
212C22×C3⋊D3—44no—
213C22×C3⋊D3C22×C4116yescomplemented
214C22×C3⋊D3C2414yes—
215C32×D4C22×C4116yescomplemented
216C2×C32×C4C22×C414yescomplemented
217C2×C32×C4C2412yes—
218#638C22×C4116yescomplemented
219#638C22×C4132yescomplemented
220C2×C3⋊Dic3C22×C4116yescomplemented
221C2×C3⋊Dic3C2414yes—
222C4⋊(C3⋊D3)C22×C418yescomplemented
223C4×C3⋊D3C22×C4116yescomplemented
224#634C22×C418yescomplemented
225C2×C3×Dic3—28no—
226C2×C3×Dic3—22no—
227C2×C3×Dic3—44no—
228C2×C3×Dic3—42no—
229C2×C3×Dic3—44no—
230C2×C3×Dic3—41no—
231C2×C3×Dic3—44no—
232C2×C3×Dic3C2414yes—
233C2×C3×Dic3C2412yes—
234C2×C3×Dic3C2414yes—
235C2×C3×Dic3C2414yes—
236C2×C3×Dic3C2411yescharacteristic
237C2×C3×Dic3C2411yescharacteristic
238#624—28no—
239#624—48no—
240#624—44no—
241C2×H(5,𝔽2)—91no—
242#520—92no—
243#520—94no—
244#518—31no—
245#518—94no—
246#518—94no—
247C4×#41—92no—
248C4×#41—94no—
249C2×C4×D4—31no—
250C2×C4×D4—94no—
251C2×C4×D4—94no—
252C24×C3—22no—
253C24×C3C22×D312yes—
254C24×C3C22×D312yes—
255C23×D3—34no—
256C23×D3—34no—
257C23×D3—64no—
258C2×C3×D4—28no—
259C2×C3×D4—24no—
260C2×C3×D4C4×D318yescomplemented
261C2×C3×D4C4×D318yescomplemented
262C2×C3×D4C22×D314yes—
263C2×C3×D4C22×D314yes—
264C22×C3×C4—21no—
265C22×C3×C4—34no—
266C22×C3×C4—31no—
267C22×C3×C4—34no—
268C22×C3×C4—34no—
269C22×C3×C4—34no—
270C22×C3×C4—31no—
271C22×C3×C4—32no—
272C22×C3×C4—124no—
273C22×C3×C4C22×D311yescharacteristic
274C22×C3×C4C22×D311yescharacteristic
275C2×#67—332no—
276C2×#67—332no—
277C2×#67—34no—
278C2×#67—38no—
279C2×#67—38no—
280C2×#67—34no—
281C2×#67—64no—
282C2×#67—68no—
283C2×#67—632no—
284C22×Dic3—34no—
285C22×Dic3—34no—
286C22×Dic3—44no—
287C22×Dic3—64no—
288C22×Dic3C22×D311yescharacteristic
289C22×Dic3C22×D314yes—
290C22×Dic3C22×D311yescharacteristic
291C22×Dic3C22×D312yes—
292C22×Dic3C22×D314yes—
293C22×Dic3C22×D314yes—
294C22×Dic3C22×D314yes—
295#237—332no—
296#237—332no—
297#237—632no—
298D3×D4—332no—
299D3×D4—332no—
300D3×D4—632no—
301#235—316no—
302#235—316no—
303#235—616no—
304C2×D12—32no—
305C2×D12—32no—
306C2×D12—62no—
307C2×C4×D3—34no—
308C2×C4×D3—34no—
309C2×C4×D3—34no—
310C2×C4×D3—34no—
311C2×C4×D3—34no—
312C2×C4×D3—34no—
313C2×C4×D3—38no—
314C2×C4×D3—38no—
315C2×C4×D3—64no—
316C2×C4×D3—128no—
317C2×C4×D3—128no—
318C2×Dic6—32no—
319C2×Dic6—32no—
320C2×Dic6—62no—
321C3×C4⋊C4—32no—
322C3×C4⋊C4—34no—
323C3×C4⋊C4—32no—
324C3×C22⋊C4—38no—
325C3×C22⋊C4—38no—
326C3×C22⋊C4—34no—
327C3×C42—32no—
328C3×C42—34no—
329C3×C42—32no—
330#217C22×D318yes—
331#217C22×D318yes—
332#217C22×D314yes—
333(C2×D3)⋊C4—34no—
334(C2×D3)⋊C4—34no—
335(C2×D3)⋊C4—34no—
336(C2×D3)⋊C4—34no—
337(C2×D3)⋊C4—38no—
338(C2×D3)⋊C4—38no—
339C4⋊Dic3C22×D312yes—
340C4⋊Dic3C22×D314yes—
341C4⋊Dic3C22×D312yes—
342Dic3⋊C4—34no—
343Dic3⋊C4—34no—
344Dic3⋊C4—38no—
345Dic3⋊C4—34no—
346Dic3⋊C4—34no—
347Dic3⋊C4—38no—
348C4×Dic3—34no—
349C4×Dic3—34no—
350C4×Dic3—38no—
351C4×Dic3—34no—
352C4×Dic3—34no—
353C4×Dic3—38no—
354C4×Dic3C22×D312yes—
355C4×Dic3C22×D314yes—
356C4×Dic3C22×D312yes—
357C22×C32—24no—
358C22×C32—21no—
359C22×C32—24no—
360C22×C32—21no—
361C22×C32—48no—
362C22×C32C23×C418yes—
363C22×C32C23×C412yes—
364C22×C32C2511yescharacteristic
365C2×C3⋊D3—24no—
366C2×C3⋊D3—24no—
367C2×C3⋊D3—416no—
368C2×C3⋊D3C23×C418yes—
369C32×C4C23×C414yes—
370C3⋊Dic3C23×C418yes—
371C3×Dic3—24no—
372C3×Dic3—24no—
373C3×Dic3—21no—
374C3×Dic3—22no—
375C3×Dic3—24no—
376C3×Dic3H(5,𝔽2)12yescomplemented
377H(5,𝔽2)—916no—
378C2×#41—94no—
379C2×#41—92no—
380C22×D4—94no—
381C22×D4—94no—
382C22×D4D3211yescharacteristic
383C23×C4—32no—
384C23×C4—94no—
385C4×Q8—92no—
386C4×Q8—92no—
387C4×Q8—94no—
388C4×D4—34no—
389C4×D4—34no—
390C4×D4—34no—
391C4×D4—34no—
392C4×D4—92no—
393C4×D4—94no—
394C4×D4—92no—
395C4×D4—94no—
396C4×D4—98no—
397C4×D4—98no—
398C4×D4—98no—
399C4×D4—98no—
400C4×D4—94no—
401C4×D4—98no—
402#117—32no—
403#117—94no—
404#117—98no—
405#117—94no—
406C2×C4⋊C4—31no—
407C2×C4⋊C4—94no—
408C2×C4⋊C4—94no—
409C2×C22⋊C4—32no—
410C2×C22⋊C4—34no—
411C2×C22⋊C4—98no—
412C2×C22⋊C4—94no—
413C2×C42—31no—
414C2×C42—94no—
415C2×C42—94no—
416C23×C3—24no—
417C23×C3—21no—
418C23×C3—28no—
419C23×C3—42no—
420C23×C3—42no—
421C23×C3—42no—
422C23×C3—42no—
423C23×C3—82no—
424C23×C3—82no—
425C23×C3C2×C4×D318yescomplemented
426C23×C3C2×C4×D318yescomplemented
427C23×C3C23×D311yescharacteristic
428C23×C3C23×D314yes—
429C23×C3C23×D314yes—
430C23×C3C23×D311yescharacteristic
431C22×D3—34no—
432C22×D3—34no—
433C22×D3—316no—
434C22×D3—316no—
435C22×D3—64no—
436C22×D3—616no—
437C22×D3—124no—
438C22×D3—124no—
439C22×D3—124no—
440C22×D3—124no—
441C22×D3—244no—
442C22×D3—244no—
443C3×D4—216no—
444C3×D4C2×C4×D3116yescomplemented
445C3×D4C2×C4×D3116yescomplemented
446C2×C3×C4—22no—
447C2×C3×C4—24no—
448C2×C3×C4—31no—
449C2×C3×C4—34no—
450C2×C3×C4—32no—
451C2×C3×C4—34no—
452C2×C3×C4—34no—
453C2×C3×C4—31no—
454C2×C3×C4—68no—
455C2×C3×C4—62no—
456C2×C3×C4—124no—
457C2×C3×C4—124no—
458C2×C3×C4—121no—
459C2×C3×C4—122no—
460C2×C3×C4—124no—
461C2×C3×C4C2×C4×D314yescomplemented
462C2×C3×C4C2×C4×D314yescomplemented
463C2×C3×C4C23×D312yes—
464C2×C3×C4C23×D312yes—
465#67—316no—
466#67—316no—
467#67—332no—
468#67—332no—
469#67—616no—
470#67—632no—
471C2×Dic3—28no—
472C2×Dic3—22no—
473C2×Dic3—316no—
474C2×Dic3—316no—
475C2×Dic3—34no—
476C2×Dic3—34no—
477C2×Dic3—44no—
478C2×Dic3—42no—
479C2×Dic3—44no—
480C2×Dic3—41no—
481C2×Dic3—44no—
482C2×Dic3—616no—
483C2×Dic3—64no—
484C2×Dic3C23×D314yes—
485C2×Dic3C23×D312yes—
486C2×Dic3C23×D314yes—
487C2×Dic3C23×D314yes—
488C2×Dic3C23×D311yescharacteristic
489C2×Dic3C23×D311yescharacteristic
490D12—38no—
491D12—38no—
492D12—68no—
493C4×D3—316no—
494C4×D3—316no—
495C4×D3—616no—
496C4×D3—68no—
497C4×D3—68no—
498C4×D3—124no—
499C4×D3—124no—
500C4×D3—128no—
501C4×D3—128no—
502Dic6—38no—
503Dic6—38no—
504Dic6—68no—
505C2×C32—28no—
506C2×C32—22no—
507C2×C32C24×C411yescharacteristic
508C2×C32C2×H(5,𝔽2)11yescharacteristic
509C2×C32#58511yescharacteristic
510C3⋊D3—28no—
511C24—94no—
512C24C2×D3212yes—
513#41—932no—
514#41—916no—
515C2×Q8—92no—
516C2×D4—98no—
517C2×D4—94no—
518C2×D4—932no—
519C2×D4—932no—
520C2×D4—92no—
521C2×D4#62418yescomplemented
522C2×D4C2×D3214yes—
523C22×C4—31no—
524C22×C4—34no—
525C22×C4—31no—
526C22×C4—34no—
527C22×C4—32no—
528C22×C4—34no—
529C22×C4—34no—
530C22×C4—94no—
531C22×C4—94no—
532C22×C4—98no—
533C22×C4—94no—
534C22×C4—94no—
535C22×C4—124no—
536C22×C4—368no—
537C22×C4C2×D3211yescharacteristic
538C4⋊C4—34no—
539C4⋊C4—32no—
540C4⋊C4—32no—
541C4⋊C4—94no—
542C4⋊C4—98no—
543C4⋊C4—94no—
544C22⋊C4—34no—
545C22⋊C4—38no—
546C22⋊C4—38no—
547C22⋊C4—94no—
548C22⋊C4—94no—
549C22⋊C4—98no—
550C42—32no—
551C42—32no—
552C42—34no—
553C42—94no—
554C42—94no—
555C42—98no—
556C22×C3—21no—
557C22×C3—24no—
558C22×C3—21no—
559C22×C3—24no—
560C22×C3—24no—
561C22×C3—21no—
562C22×C3—24no—
563C22×C3—21no—
564C22×C3—28no—
565C22×C3—22no—
566C22×C3—21no—
567C22×C3—44no—
568C22×C3—44no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—48no—
572C22×C3—48no—
573C22×C3—88no—
574C22×C3C22×C4×D318yes—
575C22×C3C22×C4×D318yes—
576C22×C3C22×C4×D312yes—
577C22×C3C22×C4×D312yes—
578C22×C3C24×D311yescharacteristic
579C22×C3C24×D311yescharacteristic
580C2×D3—38no—
581C2×D3—38no—
582C2×D3—68no—
583C2×D3—64no—
584C2×D3—64no—
585C2×D3—64no—
586C2×D3—64no—
587C2×D3—124no—
588C2×D3—124no—
589C2×D3—1216no—
590C2×D3—1216no—
591C2×D3—2416no—
592C3×C4—24no—
593C3×C4—32no—
594C3×C4—64no—
595C3×C4—64no—
596C3×C4—64no—
597C3×C4—61no—
598C3×C4—62no—
599C3×C4C22×C4×D314yes—
600C3×C4C22×C4×D314yes—
601Dic3—24no—
602Dic3—21no—
603Dic3—22no—
604Dic3—24no—
605Dic3—24no—
606Dic3—38no—
607Dic3—38no—
608Dic3—68no—
609Dic3#100412yescomplemented
610C32C4×H(5,𝔽2)11yescharacteristic, complemented, Sylow
611C23—42no—
612C23—42no—
613C23—94no—
614C23—916no—
615C23—364no—
616C23—364no—
617C23C2×#62418yescomplemented
618C23C22×D3214yes—
619C23C22×D3211yescharacteristic
620Q8—98no—
621D4—932no—
622D4—916no—
623D4—98no—
624D4C2×#624116yescomplemented
625C2×C4—31no—
626C2×C4—32no—
627C2×C4—31no—
628C2×C4—34no—
629C2×C4—34no—
630C2×C4—34no—
631C2×C4—62no—
632C2×C4—68no—
633C2×C4—916no—
634C2×C4—94no—
635C2×C4—916no—
636C2×C4—124no—
637C2×C4—122no—
638C2×C4—124no—
639C2×C4—124no—
640C2×C4—121no—
641C2×C4—188no—
642C2×C4—368no—
643C2×C4—364no—
644C2×C4C2×#62414yescomplemented
645C2×C4C22×D3212yes—
646C2×C3—28no—
647C2×C3—22no—
648C2×C3—28no—
649C2×C3—22no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—21no—
653C2×C3—48no—
654C2×C3—42no—
655C2×C3C23×C4×D311yescharacteristic
656C2×C3C23×C4×D311yescharacteristic
657C2×C3C2×#100411yescharacteristic
658C2×C3#596411yescharacteristic
659C2×C3D3×H(5,𝔽2)11yescharacteristic
660C2×C3#596611yescharacteristic
661D3—68no—
662D3—68no—
663D3—128no—
664C22—21no—
665C22—24no—
666C22—21no—
667C22—24no—
668C22—48no—
669C22—98no—
670C22—184no—
671C22—184no—
672C22—3616no—
673C22C22×#62418yes—
674C22C22×#62412yes—
675C22C23×D3211yescharacteristic
676C4—32no—
677C4—61no—
678C4—64no—
679C4—64no—
680C4—64no—
681C4—62no—
682C4—98no—
683C4C22×#62414yes—
684C3—21no—
685C3C4×#100411yescharacteristic, complemented
686C3#8585711yescharacteristic, complemented
687C2—22no—
688C2—28no—
689C2—188no—
690C2D3×#100411yescharacteristic
691C2#1059667811yescharacteristic
692C2C23×#62411yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutatorC2×C32C24×C4
FittingC22×C32×D4C22
socle, cosocleC22×C32C25
prime radicalC2×#64361C2
hypercenterC22×D4D32
hypocenterC32C4×H(5,𝔽2)
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. C3×#5798C2semidirect
3. C2×C3×D4×Dic3C2semidirect
4. #10595510C2semidirect
5. C2×#63952C2semidirect
6. #10595223C2semidirect
7. #10595219C2semidirect
8. #10595190C2semidirect
9. D4×#624C2semidirect
10. #10594990C2semidirect
11. #10594954C2semidirect
16. #64361C4semidirect
20. C23×C3×Dic3C22semidirect
21. C22×#624C22semidirect
22. C2×C3×#217C22semidirect
23. C2×C3×#217C22semidirect
24. C3×D4×Dic3C22semidirect
25. C3×D4×Dic3C22semidirect
26. C3×D4×Dic3C22semidirect
27. C3×D4×Dic3C22semidirect
28. C3×#926C22semidirect
29. C2×C3×C4⋊Dic3C22semidirect
30. C2×C3×C4×Dic3C22semidirect
31. #63974C22semidirect
32. C2×#3724C22semidirect
33. C2×#3722C22semidirect
34. #63957C22semidirect
35. C2×Dic32C22semidirect
36. #63952C22semidirect
37. #63952C22semidirect
38. #63952C22semidirect
39. #63952C22semidirect
40. #63952C22semidirect
41. #63952C22semidirect
42. #63952C22semidirect
43. #63900C22semidirect
44. #63894C22semidirect
45. #63894C22semidirect
46. #63894C22semidirect
47. C4×#624C22semidirect
48. #63874C22semidirect
49. #63849C22semidirect
50. #63844C22semidirect
51. #63844C22semidirect
52. #63844C22semidirect
58. #5798D3semidirect
59. C2×D4×Dic3D3semidirect
78. C2×C32×D4C2×C4semidirect
81. C2×#638C2×C4semidirect
85. #3830C2×C4semidirect
86. D4×C3⋊D3C2×C4semidirect
87. #3828C2×C4semidirect
129. C23×Dic3C2×D3semidirect
153. C2×#217C2×D3semidirect
154. C2×#217C2×D3semidirect
155. D4×Dic3C2×D3semidirect
156. D4×Dic3C2×D3semidirect
157. D4×Dic3C2×D3semidirect
158. D4×Dic3C2×D3semidirect
168. #926C2×D3semidirect
169. C2×C4⋊Dic3C2×D3semidirect
174. C2×C4×Dic3C2×D3semidirect
208. C23×C32C22×C4semidirect
213. C22×C3⋊D3C22×C4semidirect
215. C32×D4C22×C4semidirect
216. C2×C32×C4C22×C4semidirect
218. #638C22×C4semidirect
219. #638C22×C4semidirect
220. C2×C3⋊Dic3C22×C4semidirect
222. C4⋊(C3⋊D3)C22×C4semidirect
223. C4×C3⋊D3C22×C4semidirect
224. #634C22×C4semidirect
260. C2×C3×D4C4×D3semidirect
261. C2×C3×D4C4×D3semidirect
376. C3×Dic3H(5,𝔽2)semidirect
425. C23×C3C2×C4×D3semidirect
426. C23×C3C2×C4×D3semidirect
444. C3×D4C2×C4×D3semidirect
445. C3×D4C2×C4×D3semidirect
461. C2×C3×C4C2×C4×D3semidirect
462. C2×C3×C4C2×C4×D3semidirect
521. C2×D4#624semidirect
609. Dic3#1004semidirect
610. C32C4×H(5,𝔽2)semidirect
617. C23C2×#624semidirect
624. D4C2×#624semidirect
644. C2×C4C2×#624semidirect
685. C3C4×#1004semidirect
686. C3#85857semidirect

Maximal subgroups

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

subgroupindex
C2×#643612
C3×#57982
C2×C3×D4×Dic32
#105955102
C2×#639522
#105952232
#105952192
#105951902
D4×#6242
#105949902
#105949542
#858573
C4×#10043