Finite Group Databasebeta

← #11904839

Subgroups — #11904839

Order 1152.

3984 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#518C211yesmaximal, characteristic, complemented
2#10596275C211yesmaximal, characteristic, complemented
3C2×#64146C211yesmaximal, characteristic, complemented
4#10596031C214yesmaximal, complemented
5#10596027C214yesmaximal, complemented
6#10596021C214yesmaximal, complemented
7#10596018C214yesmaximal, complemented
8#10595998C214yesmaximal, complemented
9#10595961C214yesmaximal, complemented
10C2×#64091C211yesmaximal, characteristic, complemented
11#10595957C211yesmaximal, characteristic, complemented
12C2×C22⋊C4×C3⋊D3C211yesmaximal, characteristic, complemented
13#10595954C211yesmaximal, characteristic, complemented
14#85868—34nomaximal
15C24×C3⋊D3C2211yescharacteristic
16C22×C32×D4C2211yescharacteristic
17C22×#638C2211yescharacteristic
18C22×#638C2212yescomplemented
19C2×#3828C2214yescomplemented
20C22×C4⋊(C3⋊D3)C2212yescomplemented
21C22×C4×C3⋊D3C2212yescomplemented
22C32×C4×D4C2214yescomplemented
23C32×C4×D4C2214yescomplemented
24C32×#117C2212yescomplemented
25C2×C32×C22⋊C4C2211yescharacteristic
26C2×C32×C22⋊C4C2211yescharacteristic
27C2×C32×C22⋊C4C2212yescomplemented
28#64162C2212yescomplemented
29C2×#3757C2211yescharacteristic
30C2×#3757C2211yescharacteristic
31#64148C2214yescomplemented
32#64146C2214yes—
33#64146C2212yescomplemented
34#64146C2212yescomplemented
35#64146C2212yescomplemented
36#64144C2212yescomplemented
37#64139C2214yescomplemented
38#64138C2214yescomplemented
39#64138C2212yescomplemented
40C4×#638C2214yescomplemented
41C4×#638C2214yescomplemented
42C2×#3752C2212yescomplemented
43C2×#3752C2212yescomplemented
44C2×#3752C2212yescomplemented
45#64133C2214yescomplemented
46#64107C2214yescomplemented
47#64105C2214yescomplemented
48#64103C2214yescomplemented
49#64103C2214yescomplemented
50#64094C2214yescomplemented
51#64093C2214yescomplemented
52#64093C2214yescomplemented
53#64092C2214yescomplemented
54#64091C2214yes—
55#64091C2212yescomplemented
56#64091C2212yescomplemented
57#64090C2214yescomplemented
58C22⋊C4×C3⋊D3C2214yescomplemented
59C22⋊C4×C3⋊D3C2214yescomplemented
60C22⋊C4×C3⋊D3C2212yescomplemented
61#64087C2214yescomplemented
62#64087C2214yescomplemented
63#64086C2212yescomplemented
64#64085C2214yescomplemented
65#64084C2214yescomplemented
66C4×C4⋊(C3⋊D3)C2214yescomplemented
67#64081C2214yescomplemented
68C3×#518D314yescomplemented
69#5804—34no—
70C2×#937—34no—
71#5560—316no—
72#5556—316no—
73#5550—316no—
74#5547—316no—
75#5527—316no—
76#5490—316no—
77C2×#882—34no—
78#5486—34no—
79C2×D3×C22⋊C4—34no—
80#5483—34no—
81C24×C32C2311yescharacteristic
82C24×C32C2311yescharacteristic
83C23×C3⋊D3—24no—
84C23×C3⋊D3—44no—
85C23×C3⋊D3C2311yescharacteristic
86C23×C3⋊D3C2312yes—
87C23×C3⋊D3C2312yes—
88C23×C3⋊D3C2311yescharacteristic
89C23×C3⋊D3C2311yescharacteristic
90C2×C32×D4—24no—
91C2×C32×D4C2312yes—
92C2×C32×D4C2312yes—
93C22×C32×C4C2311yescharacteristic
94C22×C32×C4C2312yes—
95C22×C32×C4C2312yes—
96C22×C32×C4C2314yescomplemented
97C2×#638—24no—
98C2×#638—44no—
99C2×#638C2312yes—
100C2×#638C2312yes—
101C2×#638C2314yes—
102C2×#638C2314yes—
103C2×#638C2314yescomplemented
104C22×C3⋊Dic3C2311yescharacteristic
105C22×C3⋊Dic3C2312yes—
106C22×C3⋊Dic3C2312yes—
107#3828—48no—
108C2×C4⋊(C3⋊D3)—44no—
109C2×C4⋊(C3⋊D3)C2314yes—
110C2×C4⋊(C3⋊D3)C2314yes—
111C2×C4×C3⋊D3—44no—
112C2×C4×C3⋊D3C2314yes—
113C2×C4×C3⋊D3C2314yes—
114C2×C4×C3⋊D3C2314yescomplemented
115C2×#634C2314yescomplemented
116C32×C4⋊C4C2314yescomplemented
117C32×C22⋊C4C2312yes—
118C32×C22⋊C4C2312yes—
119C32×C22⋊C4C2312yes—
120C32×C22⋊C4C2312yes—
121C32×C22⋊C4C2314yescomplemented
122C32×C42C2314yescomplemented
123#3757C2312yes—
124#3757C2312yes—
125#3757C2312yes—
126#3757C2312yes—
127#3757C2314yescomplemented
128#3752C2314yes—
129#3752C2314yes—
130#3752C2314yes—
131#3752C2314yes—
132#3752C2314yes—
133#3752C2314yes—
134#3752C2314yescomplemented
135#3752C2314yescomplemented
136C4⋊(C3⋊Dic3)C2314yescomplemented
137#3750C2314yescomplemented
138#3750C2314yescomplemented
139#3750C2314yescomplemented
140#3750C2314yescomplemented
141C4×C3⋊Dic3C2314yescomplemented
142#3490—91noSylow
143C24×D3—34no—
144C22×C3×D4C2×D314yes—
145C22×#67—34no—
146C22×#67—38no—
147C2×#235—316no—
148C22×D12—38no—
149C22×C4×D3—38no—
150C3×C4×D4C2×D3116yescomplemented
151C3×C4×D4C2×D3116yescomplemented
152C3×#117C2×D318yescomplemented
153C2×C3×C22⋊C4C2×D314yes—
154C2×C3×C22⋊C4C2×D314yes—
155C2×C3×C22⋊C4C2×D318yescomplemented
156#953—38no—
157C2×#217—34no—
158C2×#217—34no—
159#939—316no—
160#937—316no—
161#937—38no—
162#937—38no—
163#937—38no—
164#935—38no—
165#930—316no—
166#929—38no—
167#929—316no—
168C4×#67—316no—
169C4×#67—316no—
170C2×(C2×D3)⋊C4—38no—
171C2×(C2×D3)⋊C4—38no—
172C2×(C2×D3)⋊C4—38no—
173#924—316no—
174#898—316no—
175#896—316no—
176#894—316no—
177#894—316no—
178#885—316no—
179#884—316no—
180#884—316no—
181#883—316no—
182#882—316no—
183#882—38no—
184#882—38no—
185#67⋊C4—316no—
186D3×C22⋊C4—316no—
187D3×C22⋊C4—316no—
188D3×C22⋊C4—38no—
189#878—316no—
190#878—316no—
191#877—38no—
192#876—316no—
193#875—316no—
194C4×D12—316no—
195#872—316no—
196C23×C32—22no—
197C23×C32—42no—
198C23×C32—42no—
199C23×C32#4114yescomplemented
200C23×C32C2412yes—
201C23×C32C2411yescharacteristic
202C23×C32C2411yescharacteristic
203C23×C32C2411yescharacteristic
204C22×C3⋊D3—22no—
205C22×C3⋊D3—24no—
206C22×C3⋊D3—24no—
207C22×C3⋊D3—24no—
208C22×C3⋊D3—22no—
209C22×C3⋊D3—22no—
210C22×C3⋊D3—24no—
211C22×C3⋊D3—24no—
212C22×C3⋊D3—42no—
213C22×C3⋊D3—42no—
214C22×C3⋊D3—42no—
215C22×C3⋊D3—42no—
216C22×C3⋊D3—416no—
217C22×C3⋊D3C2412yes—
218C22×C3⋊D3C2412yes—
219C22×C3⋊D3C2412yes—
220C32×D4—24no—
221C32×D4—24no—
222C2×C32×C4—22no—
223C2×C32×C4—42no—
224C2×C32×C4—42no—
225C2×C32×C4—44no—
226C2×C32×C4C2414yes—
227C2×C32×C4C2414yes—
228C2×C32×C4C2412yes—
229#638—24no—
230#638—24no—
231#638—28no—
232#638—44no—
233#638—44no—
234C2×C3⋊Dic3—22no—
235C2×C3⋊Dic3—42no—
236C2×C3⋊Dic3—42no—
237C2×C3⋊Dic3C2412yes—
238C2×C3⋊Dic3C2414yes—
239C2×C3⋊Dic3C2414yes—
240C4⋊(C3⋊D3)—28no—
241C4⋊(C3⋊D3)—44no—
242C4×C3⋊D3—28no—
243C4×C3⋊D3—44no—
244C4×C3⋊D3—44no—
245#634—44no—
246#551—94no—
247#551—94no—
248#546—94no—
249#546—94no—
250#543—91no—
251#538—94no—
252#534—91no—
253#525—94no—
254C2×#120—91no—
255C2×#120—91no—
256#518—91no—
257#518C3⋊D311yescharacteristic, complemented
258C22×C22⋊C4—91no—
259C24×C3C22×D314yes—
260C24×C3C22×D314yes—
261C23×D3—34no—
262C23×D3—38no—
263C23×D3—38no—
264C23×D3—34no—
265C23×D3—34no—
266C23×D3—616no—
267C23×D3—1216no—
268C2×C3×D4—216no—
269C2×C3×D4C22×D318yes—
270C2×C3×D4C22×D318yes—
271C22×C3×C4C22×D314yes—
272C22×C3×C4C22×D318yes—
273C22×C3×C4C22×D318yes—
274C22×C3×C4C22×D3116yescomplemented
275C2×#67—38no—
276C2×#67—38no—
277C2×#67—316no—
278C2×#67—316no—
279C2×#67—316no—
280C2×#67—616no—
281C2×#67—1216no—
282C22×Dic3—34no—
283C22×Dic3—38no—
284C22×Dic3—38no—
285#235—1232no—
286C2×D12—316no—
287C2×D12—316no—
288C2×D12—1216no—
289C2×C4×D3—316no—
290C2×C4×D3—316no—
291C2×C4×D3—316no—
292C2×C4×D3—1216no—
293C2×Dic6—316no—
294C3×C4⋊C4C22×D3116yescomplemented
295C3×C22⋊C4C22×D318yes—
296C3×C22⋊C4C22×D318yes—
297C3×C22⋊C4C22×D318yes—
298C3×C22⋊C4C22×D318yes—
299C3×C22⋊C4C22×D3116yescomplemented
300C3×C42C22×D3116yescomplemented
301#217—38no—
302#217—38no—
303#217—38no—
304#217—38no—
305#217—316no—
306(C2×D3)⋊C4—316no—
307(C2×D3)⋊C4—316no—
308(C2×D3)⋊C4—316no—
309(C2×D3)⋊C4—316no—
310(C2×D3)⋊C4—316no—
311(C2×D3)⋊C4—316no—
312(C2×D3)⋊C4—316no—
313(C2×D3)⋊C4—316no—
314C4⋊Dic3—316no—
315Dic3⋊C4—316no—
316Dic3⋊C4—316no—
317Dic3⋊C4—316no—
318Dic3⋊C4—316no—
319C4×Dic3—316no—
320C22×C32—22no—
321C22×C32—22no—
322C22×C32—22no—
323C22×C32—22no—
324C22×C32—24no—
325C22×C32—44no—
326C22×C32—82no—
327C22×C32C2×#4112yes—
328C22×C32C2×#4112yes—
329C22×C32C2×#4112yes—
330C22×C32C2511yescharacteristic
331C2×C3⋊D3—28no—
332C2×C3⋊D3—22no—
333C2×C3⋊D3—22no—
334C2×C3⋊D3—22no—
335C2×C3⋊D3—22no—
336C2×C3⋊D3—24no—
337C2×C3⋊D3—22no—
338C2×C3⋊D3—22no—
339C2×C3⋊D3—48no—
340C2×C3⋊D3—48no—
341C2×C3⋊D3—44no—
342C2×C3⋊D3—82no—
343C2×C3⋊D3H(5,𝔽2)14yes—
344C32×C4—22no—
345C32×C4—24no—
346C32×C4—24no—
347C3⋊Dic3—22no—
348C3⋊Dic3—24no—
349C3⋊Dic3—24no—
350C25—91no—
351C2×#41—94no—
352C22×D4—91no—
353C22×D4—92no—
354C22×D4—92no—
355C22×D4C2×C3⋊D311yescharacteristic
356C23×C4—92no—
357#126—94no—
358#126—94no—
359#124—94no—
360#124—94no—
361#123—92no—
362#123—92no—
363#123—94no—
364#123—94no—
365#123—94no—
366#123—94no—
367C22⋊Q8—94no—
368C22⋊Q8—94no—
369C22⋊Q8—94no—
370C22⋊Q8—94no—
371#121—94no—
372#121—94no—
373#121—94no—
374#121—94no—
375#120—92no—
376#120—92no—
377#120—92no—
378#120—94no—
379#120—92no—
380#120—92no—
381#120—92no—
382#120—94no—
383C4×D4—94no—
384C4×D4—94no—
385C4×D4—94no—
386C4×D4—94no—
387C4×D4C2×C3⋊D314yescomplemented
388C4×D4C2×C3⋊D314yescomplemented
389#117—92no—
390#117—94no—
391#117C2×C3⋊D312yescomplemented
392C2×C22⋊C4—91no—
393C2×C22⋊C4—91no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—92no—
396C2×C22⋊C4—92no—
397C2×C22⋊C4—94no—
398C2×C22⋊C4—94no—
399C2×C22⋊C4—92no—
400C2×C22⋊C4C2×C3⋊D311yescharacteristic
401C2×C22⋊C4C2×C3⋊D311yescharacteristic
402C2×C22⋊C4C2×C3⋊D312yescomplemented
403C23×C3—28no—
404C23×C3—48no—
405C23×C3—48no—
406C23×C3#235116yescomplemented
407C23×C3C23×D318yes—
408C23×C3C23×D314yes—
409C23×C3C23×D314yes—
410C23×C3C23×D314yes—
411C22×D3—38no—
412C22×D3—38no—
413C22×D3—38no—
414C22×D3—616no—
415C22×D3—616no—
416C22×D3—616no—
417C22×D3—68no—
418C22×D3—616no—
419C22×D3—616no—
420C22×D3—68no—
421C22×D3—68no—
422C22×D3—128no—
423C22×D3—128no—
424C22×D3—128no—
425C22×D3—128no—
426C22×D3—1264no—
427C3×D4—216no—
428C3×D4—216no—
429C2×C3×C4—28no—
430C2×C3×C4—48no—
431C2×C3×C4—48no—
432C2×C3×C4—416no—
433C2×C3×C4C23×D3116yes—
434C2×C3×C4C23×D3116yes—
435C2×C3×C4C23×D318yes—
436#67—632no—
437#67—616no—
438#67—616no—
439#67—1216no—
440#67—1216no—
441C2×Dic3—38no—
442C2×Dic3—316no—
443C2×Dic3—316no—
444C2×Dic3—68no—
445C2×Dic3—128no—
446C2×Dic3—128no—
447D12—632no—
448D12—1216no—
449C4×D3—632no—
450C4×D3—1216no—
451C4×D3—1216no—
452Dic6—1216no—
453C2×C32—22no—
454C2×C32—22no—
455C2×C32—22no—
456C2×C32—42no—
457C2×C32C22×#4111yescharacteristic
458C2×C32C2×H(5,𝔽2)12yes—
459C3⋊D3—24no—
460C3⋊D3—42no—
461C3⋊D3—42no—
462C24—91no—
463C24—92no—
464C24—92no—
465C24—91no—
466C24—91no—
467C24—184no—
468C24—364no—
469C24C22×C3⋊D311yescharacteristic
470C24C22×C3⋊D311yescharacteristic
471#41—368no—
472C2×Q8—94no—
473C2×D4—24no—
474C2×D4—92no—
475C2×D4—92no—
476C2×D4—94no—
477C2×D4—94no—
478C2×D4—94no—
479C2×D4—94no—
480C2×D4—94no—
481C2×D4—184no—
482C2×D4—364no—
483C2×D4—364no—
484C2×D4C22×C3⋊D312yes—
485C2×D4C22×C3⋊D312yes—
486C22×C4—91no—
487C22×C4—92no—
488C22×C4—92no—
489C22×C4—94no—
490C22×C4—94no—
491C22×C4—94no—
492C22×C4—364no—
493C22×C4C22×C3⋊D311yescharacteristic
494C22×C4C22×C3⋊D312yes—
495C22×C4C22×C3⋊D312yes—
496C22×C4C22×C3⋊D314yescomplemented
497C4⋊C4—94no—
498C4⋊C4—94no—
499C4⋊C4—94no—
500C4⋊C4—94no—
501C4⋊C4—94no—
502C4⋊C4C22×C3⋊D314yescomplemented
503C22⋊C4—92no—
504C22⋊C4—92no—
505C22⋊C4—92no—
506C22⋊C4—92no—
507C22⋊C4—94no—
508C22⋊C4—94no—
509C22⋊C4—94no—
510C22⋊C4—94no—
511C22⋊C4—94no—
512C22⋊C4—94no—
513C22⋊C4—94no—
514C22⋊C4—94no—
515C22⋊C4—94no—
516C22⋊C4C22×C3⋊D312yes—
517C22⋊C4C22×C3⋊D312yes—
518C22⋊C4C22×C3⋊D312yes—
519C22⋊C4C22×C3⋊D312yes—
520C22⋊C4C22×C3⋊D314yescomplemented
521C42—94no—
522C42C22×C3⋊D314yescomplemented
523C22×C3—28no—
524C22×C3—28no—
525C22×C3—28no—
526C22×C3—28no—
527C22×C3—216no—
528C22×C3—416no—
529C22×C3—88no—
530C22×C3C2×#23518yes—
531C22×C3C2×#23518yes—
532C22×C3C2×#23518yes—
533C22×C3C24×D314yes—
534C2×D3—316no—
535C2×D3—632no—
536C2×D3—68no—
537C2×D3—68no—
538C2×D3—68no—
539C2×D3—68no—
540C2×D3—616no—
541C2×D3—68no—
542C2×D3—68no—
543C2×D3—1232no—
544C2×D3—1232no—
545C2×D3—1216no—
546C2×D3—248no—
547C3×C4—28no—
548C3×C4—216no—
549C3×C4—216no—
550Dic3—68no—
551Dic3—616no—
552Dic3—616no—
553C32#349011yescharacteristic, complemented, Sylow
554C23—22no—
555C23—42no—
556C23—42no—
557C23—92no—
558C23—92no—
559C23—92no—
560C23—184no—
561C23—184no—
562C23—184no—
563C23—182no—
564C23—184no—
565C23—184no—
566C23—182no—
567C23—182no—
568C23—362no—
569C23—362no—
570C23—362no—
571C23—362no—
572C23—3616no—
573C23#382814yescomplemented
574C23C23×C3⋊D312yes—
575C23C23×C3⋊D311yescharacteristic
576C23C23×C3⋊D311yescharacteristic
577C23C23×C3⋊D311yescharacteristic
578Q8—364no—
579D4—24no—
580D4—24no—
581D4—188no—
582D4—188no—
583D4—184no—
584D4—184no—
585D4—364no—
586D4—364no—
587D4—364no—
588C2×C4—22no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—44no—
592C2×C4—92no—
593C2×C4—94no—
594C2×C4—94no—
595C2×C4—188no—
596C2×C4—182no—
597C2×C4—364no—
598C2×C4—364no—
599C2×C4—362no—
600C2×C4—362no—
601C2×C4C23×C3⋊D314yes—
602C2×C4C23×C3⋊D312yes—
603C2×C4C23×C3⋊D314yes—
604C2×C3—28no—
605C2×C3—28no—
606C2×C3—28no—
607C2×C3—48no—
608C2×C3C22×#23514yes—
609C2×C3D3×H(5,𝔽2)18yes—
610D3—616no—
611D3—128no—
612D3—128no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—24no—
618C22—44no—
619C22—82no—
620C22—94no—
621C22—188no—
622C22—182no—
623C22—182no—
624C22—182no—
625C22—182no—
626C22—184no—
627C22—182no—
628C22—182no—
629C22—368no—
630C22—368no—
631C22—364no—
632C22—722no—
633C22C2×#382812yes—
634C22C2×#382812yes—
635C22C2×#382812yes—
636C22C24×C3⋊D311yescharacteristic
637C4—22no—
638C4—24no—
639C4—24no—
640C4—182no—
641C4—184no—
642C4—184no—
643C3#8586814yescomplemented
644C2—22no—
645C2—22no—
646C2—22no—
647C2—42no—
648C2—184no—
649C2—362no—
650C2—362no—
651C2C22×#382811yescharacteristic
652C2C3⋊D3×H(5,𝔽2)12yes—
subgroupG/H
center, FrattiniC22C24×C3⋊D3
commutator, socle, cosocleC22×C32C25
FittingC32×#518C2
hypercenter#518C3⋊D3
hypocenterC32#3490
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #518

Complements

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

NH ≅ G/Ntype
1. C32×#518C2semidirect
2. #10596275C2semidirect
3. C2×#64146C2semidirect
4. #10596031C2semidirect
5. #10596027C2semidirect
6. #10596021C2semidirect
7. #10596018C2semidirect
8. #10595998C2semidirect
9. #10595961C2semidirect
10. C2×#64091C2semidirect
11. #10595957C2semidirect
12. C2×C22⋊C4×C3⋊D3C2semidirect
13. #10595954C2semidirect
18. C22×#638C22semidirect
19. C2×#3828C22semidirect
20. C22×C4⋊(C3⋊D3)C22semidirect
21. C22×C4×C3⋊D3C22semidirect
22. C32×C4×D4C22semidirect
23. C32×C4×D4C22semidirect
24. C32×#117C22semidirect
27. C2×C32×C22⋊C4C22semidirect
28. #64162C22semidirect
31. #64148C22semidirect
33. #64146C22semidirect
34. #64146C22semidirect
35. #64146C22semidirect
36. #64144C22semidirect
37. #64139C22semidirect
38. #64138C22semidirect
39. #64138C22semidirect
40. C4×#638C22semidirect
41. C4×#638C22semidirect
42. C2×#3752C22semidirect
43. C2×#3752C22semidirect
44. C2×#3752C22semidirect
45. #64133C22semidirect
46. #64107C22semidirect
47. #64105C22semidirect
48. #64103C22semidirect
49. #64103C22semidirect
50. #64094C22semidirect
51. #64093C22semidirect
52. #64093C22semidirect
53. #64092C22semidirect
55. #64091C22semidirect
56. #64091C22semidirect
57. #64090C22semidirect
58. C22⋊C4×C3⋊D3C22semidirect
59. C22⋊C4×C3⋊D3C22semidirect
60. C22⋊C4×C3⋊D3C22semidirect
61. #64087C22semidirect
62. #64087C22semidirect
63. #64086C22semidirect
64. #64085C22semidirect
65. #64084C22semidirect
66. C4×C4⋊(C3⋊D3)C22semidirect
67. #64081C22semidirect
68. C3×#518D3semidirect
96. C22×C32×C4C23semidirect
103. C2×#638C23semidirect
114. C2×C4×C3⋊D3C23semidirect
115. C2×#634C23semidirect
116. C32×C4⋊C4C23semidirect
121. C32×C22⋊C4C23semidirect
122. C32×C42C23semidirect
127. #3757C23semidirect
134. #3752C23semidirect
135. #3752C23semidirect
136. C4⋊(C3⋊Dic3)C23semidirect
137. #3750C23semidirect
138. #3750C23semidirect
139. #3750C23semidirect
140. #3750C23semidirect
141. C4×C3⋊Dic3C23semidirect
150. C3×C4×D4C2×D3semidirect
151. C3×C4×D4C2×D3semidirect
152. C3×#117C2×D3semidirect
155. C2×C3×C22⋊C4C2×D3semidirect
199. C23×C32#41semidirect
257. #518C3⋊D3semidirect
274. C22×C3×C4C22×D3semidirect
294. C3×C4⋊C4C22×D3semidirect
299. C3×C22⋊C4C22×D3semidirect
300. C3×C42C22×D3semidirect
387. C4×D4C2×C3⋊D3semidirect
388. C4×D4C2×C3⋊D3semidirect
391. #117C2×C3⋊D3semidirect
402. C2×C22⋊C4C2×C3⋊D3semidirect
406. C23×C3#235semidirect
496. C22×C4C22×C3⋊D3semidirect
502. C4⋊C4C22×C3⋊D3semidirect
520. C22⋊C4C22×C3⋊D3semidirect
522. C42C22×C3⋊D3semidirect
553. C32#3490semidirect
573. C23#3828semidirect
643. C3#85868semidirect

Maximal subgroups

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

subgroupindex
C32×#5182
#105962752
C2×#641462
#105960312
#105960272
#105960212
#105960182
#105959982
#105959612
C2×#640912
#105959572
C2×C22⋊C4×C3⋊D32
#105959542
#858683