Finite Group Databasebeta

← #13151479

Subgroups — #13151479

Order 1728.

1405 conjugacy classes of subgroups.

The subgroup lattice has 715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×#272C211yesmaximal, characteristic, complemented
2C2×#3830⋊C3C211yesmaximal, characteristic, complemented
3D4×(C3⋊Dic3)⋊C3C211yesmaximal, characteristic, complemented
4#11721323C212yesmaximal, complemented
5#11721322C212yesmaximal, complemented
6C2×#88451C212yesmaximal, complemented
7#11721301C212yesmaximal, complemented
8#11721156C211yesmaximal, characteristic, complemented
9C4×#6200C211yesmaximal, characteristic, complemented
10#11721114C211yesmaximal, characteristic, complemented
11#11721094C211yesmaximal, characteristic, complemented
12#10595246—31nomaximal
13#10595244—31nomaximal
14C23×#272C2212yes—
15C2×D4×H(3,𝔽3)C2211yescharacteristic
16C2×#6235C2212yes—
17D4×#272—24no—
18C2×C4⋊#272C2211yescharacteristic
19C2×C4×#272C2211yescharacteristic
20C2×#638⋊C3C2212yescomplemented
21C22×(C3⋊Dic3)⋊C3C2212yescomplemented
22C22×(C3⋊Dic3)⋊C3C2212yescomplemented
23#3830⋊C3—24no—
24C2×C4×(C3⋊D3)⋊C3C2211yescharacteristic, complemented
25C2×#634⋊C3C2211yescharacteristic, complemented
26C2×#6200C2211yescharacteristic
27C2×#6200C2212yescomplemented
28#3757⋊C3C2212yescomplemented
29C4⋊((C3⋊Dic3)⋊C3)C2211yescharacteristic, complemented
30C4×(C3⋊Dic3)⋊C3C2211yescharacteristic, complemented
31#88451C2211yescharacteristic
32#88451C2212yes—
33#88451C2212yescomplemented
34#88451C2212yescomplemented
35#88451C2212yescomplemented
36#88450C2211yescharacteristic, complemented
37#88448C2211yescharacteristic, complemented
38#88448C2212yescomplemented
39C2×#3830D311yescharacteristic, complemented
40C2×C3×#237—31no—
41C2×C3×D3×D4—31no—
42C2×C3×D3×D4—31no—
43C2×C3×D3×D4—61no—
44D4×C3⋊Dic3D311yescharacteristic, complemented
45C3×D4×Dic3—31no—
46#63980—32no—
47#63978—32no—
48#63977—32no—
49#63976—32no—
50#63962—32no—
51#63961—32no—
52C2×(C2×D3)⋊Dic3—32no—
53C2×(C2×D3)⋊Dic3—32no—
54#63916—31no—
55#63908—31no—
56C4×#626—31no—
57C4×#625—31no—
58#63863—31no—
59#63860—31no—
60#63857—31no—
61#63856—31no—
62C23×H(3,𝔽3)C2312yes—
63C22×#272—24no—
64C22×#272—24no—
65C22×#272—42no—
66C22×#272C2312yes—
67C22×#272C2311yescharacteristic
68C22×(C3⋊D3)⋊C3C2311yescharacteristic
69D4×H(3,𝔽3)D414yescomplemented
70C2×C4×H(3,𝔽3)C2311yescharacteristic
71#6235—24no—
72C2×#1084C2311yescharacteristic
73C4⋊#272—22no—
74C4×#272—22no—
75#638⋊C3—24no—
76C2×(C3⋊Dic3)⋊C3—24no—
77C2×(C3⋊Dic3)⋊C3—42no—
78C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
79C2×(C3⋊Dic3)⋊C3C2312yes—
80C2×(C3⋊Dic3)⋊C3C2312yes—
81C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
82C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
83C4×(C3⋊D3)⋊C3—22no—
84#634⋊C3—22no—
85#6200—22no—
86#6200—42no—
87#5829—91no—
88#5806—91no—
89#5554—91no—
90C23×C3×D3—32no—
91C23×C3×D3—32no—
92C23×C3×D3—62no—
93C2×C32×D4—21no—
94C2×C32×D4C2×D311yescharacteristic
95C2×C32×D4C2×D311yescharacteristic
96C2×#638C2×D312yescomplemented
97C22×C3⋊Dic3C2×D312yescomplemented
98C22×C3⋊Dic3C2×D312yescomplemented
99#3830—24no—
100C2×C4×C3⋊D3C2×D311yescharacteristic, complemented
101C2×#634C2×D311yescharacteristic, complemented
102C2×C3×#67—32no—
103C2×C3×#67—32no—
104C2×C3×#67—32no—
105C2×C3×#67—62no—
106C22×C3×Dic3—32no—
107C22×C3×Dic3—32no—
108C3×#237—64no—
109C3×D3×D4—68no—
110C3×D3×D4—64no—
111C3×D3×D4—64no—
112C2×C3×D12—31no—
113C2×C3×D12—31no—
114C2×C3×D12—61no—
115C2×C3×C4×D3—31no—
116C2×C3×C4×D3—31no—
117C2×C3×C4×D3—31no—
118C2×C3×C4×D3—61no—
119C2×C3×Dic6—31no—
120C2×#626—31no—
121C2×#626—32no—
122C2×#625—31no—
123C2×#625—32no—
124#3757C2×D312yescomplemented
125C4⋊(C3⋊Dic3)C2×D311yescharacteristic, complemented
126C4×C3⋊Dic3C2×D311yescharacteristic, complemented
127C3×#217—32no—
128C3×C4⋊Dic3—31no—
129C3×C4×Dic3—31no—
130#3724—32no—
131#3724—31no—
132Dic3⋊Dic3—32no—
133Dic3⋊Dic3—31no—
134#3722—31no—
135(C2×D3)⋊Dic3—32no—
136(C2×D3)⋊Dic3—32no—
137(C2×D3)⋊Dic3—32no—
138(C2×D3)⋊Dic3—32no—
139(C2×D3)⋊Dic3—32no—
140(C2×D3)⋊Dic3—32no—
141(C2×D3)⋊Dic3—31no—
142(C2×D3)⋊Dic3—31no—
143(C2×D3)⋊Dic3—31no—
144(C2×D3)⋊Dic3—32no—
145(C2×D3)⋊Dic3—32no—
146C22×H(3,𝔽3)—22no—
147C22×H(3,𝔽3)—22no—
148C22×H(3,𝔽3)C2×D414yes—
149C22×H(3,𝔽3)C2411yescharacteristic
150C2×#272—21no—
151C2×#272—21no—
152C2×#272—22no—
153C2×#272—22no—
154C2×#272—22no—
155C2×#272—48no—
156C2×#272#4112yescomplemented
157C2×(C3⋊D3)⋊C3—21no—
158C2×(C3⋊D3)⋊C3—21no—
159C2×(C3⋊D3)⋊C3—21no—
160C4×H(3,𝔽3)C2×D412yes—
161#1084—21no—
162(C3⋊Dic3)⋊C3—22no—
163(C3⋊Dic3)⋊C3—21no—
164(C3⋊Dic3)⋊C3—21no—
165(C3⋊Dic3)⋊C3—22no—
166(C3⋊Dic3)⋊C3—21no—
167C2×C3×#41—91no—
168C22×C3×D4—91no—
169C2×#237—31no—
170C2×#237—91no—
171C2×D3×D4—31no—
172C2×D3×D4—31no—
173C2×D3×D4—61no—
174C3×C4×D4—91no—
175#953—92no—
176C2×#217—92no—
177#947—91no—
178#946—91no—
179#939—92no—
180#939—92no—
181#938—91no—
182#937—92no—
183#936—91no—
184#935—92no—
185D4×Dic3—31no—
186D4×Dic3—91no—
187#930—91no—
188#930—92no—
189#929—92no—
190C4×#67—91no—
191C4×#67—91no—
192C2×(C2×D3)⋊C4—92no—
193C2×(C2×D3)⋊C4—92no—
194#924—91no—
195#897—91no—
196#895—91no—
197#886—92no—
198#882—92no—
199#875—91no—
200C4×D12—91no—
201C23×C32—22no—
202C23×C32C22×D312yes—
203C23×C32C22×D312yes—
204C22×C3⋊D3C22×D311yescharacteristic
205C22×C3×D3—31no—
206C22×C3×D3—31no—
207C22×C3×D3—32no—
208C22×C3×D3—32no—
209C22×C3×D3—31no—
210C22×C3×D3—61no—
211C22×C3×D3—62no—
212C22×C3×D3—64no—
213C22×C3×D3—64no—
214C22×C3×D3—68no—
215C22×C3×D3—64no—
216C22×C3×D3—64no—
217C22×C3×D3—124no—
218C22×C3×D3—122no—
219C22×C3×D3—122no—
220C22×C3×D3—124no—
221C32×D4—24no—
222C32×D4D1214yescomplemented
223C32×D4#6714yescomplemented
224C2×C32×C4—21no—
225C2×C32×C4C22×D311yescharacteristic
226C2×C32×C4C22×D311yescharacteristic
227#638—24no—
228C2×C3⋊Dic3—24no—
229C2×C3⋊Dic3—42no—
230C2×C3⋊Dic3C22×D311yescharacteristic
231C2×C3⋊Dic3C22×D312yes—
232C2×C3⋊Dic3C22×D311yescharacteristic
233C2×C3⋊Dic3C22×D311yescharacteristic
234C2×C3⋊Dic3C22×D312yes—
235C4×C3⋊D3—22no—
236#634—22no—
237C3×#67—68no—
238C3×#67—64no—
239C3×#67—64no—
240C3×#67—64no—
241C2×C3×Dic3—31no—
242C2×C3×Dic3—32no—
243C2×C3×Dic3—31no—
244C2×C3×Dic3—31no—
245C2×C3×Dic3—32no—
246C2×C3×Dic3—31no—
247C2×C3×Dic3—31no—
248C2×C3×Dic3—61no—
249C2×C3×Dic3—64no—
250C2×C3×Dic3—122no—
251C3×D12—64no—
252C3×D12—62no—
253C3×D12—62no—
254C3×C4×D3—64no—
255C3×C4×D3—62no—
256C3×C4×D3—62no—
257C3×C4×D3—62no—
258C3×Dic6—62no—
259#626—62no—
260#626—122no—
261#625—62no—
262#625—122no—
263#546—271noSylow
264C2×H(3,𝔽3)—24no—
265C2×H(3,𝔽3)C22×D411yescharacteristic
266C2×H(3,𝔽3)C2×#4111yescharacteristic
267C2×H(3,𝔽3)H(5,𝔽2)11yescharacteristic
268#272—22no—
269#272—42no—
270(C3⋊D3)⋊C3—41no—
271C24×C3—92no—
272C23×D3—32no—
273C23×D3—32no—
274C23×D3—62no—
275C3×#41—184no—
276C2×C3×Q8—91no—
277C2×C3×D4—31no—
278C2×C3×D4—31no—
279C2×C3×D4—61no—
280C2×C3×D4—92no—
281C2×C3×D4—92no—
282C2×C3×D4—91no—
283C2×C3×D4—184no—
284C2×C3×D4D3211yescharacteristic
285C22×C3×C4—91no—
286C22×C3×C4—92no—
287C22×C3×C4—92no—
288C22×C3×C4—91no—
289C2×#67—32no—
290C2×#67—32no—
291C2×#67—32no—
292C2×#67—62no—
293C2×#67—92no—
294C2×#67—91no—
295C2×#67—92no—
296C2×#67—91no—
297C2×#67—92no—
298C22×Dic3—32no—
299C22×Dic3—32no—
300C22×Dic3—92no—
301C22×Dic3—92no—
302#237—64no—
303#237—184no—
304D3×D4—64no—
305D3×D4—64no—
306D3×D4—68no—
307C2×D12—31no—
308C2×D12—31no—
309C2×D12—61no—
310C2×D12—91no—
311C2×D12—92no—
312C2×C4×D3—31no—
313C2×C4×D3—31no—
314C2×C4×D3—31no—
315C2×C4×D3—61no—
316C2×C4×D3—91no—
317C2×Dic6—31no—
318C2×Dic6—91no—
319C3×C4⋊C4—91no—
320C3×C22⋊C4—92no—
321C3×C42—91no—
322#217—32no—
323#217—92no—
324#217—92no—
325#217—91no—
326#217—92no—
327#217—92no—
328#217—92no—
329#217—91no—
330(C2×D3)⋊C4—91no—
331(C2×D3)⋊C4—91no—
332(C2×D3)⋊C4—91no—
333(C2×D3)⋊C4—92no—
334(C2×D3)⋊C4—92no—
335(C2×D3)⋊C4—92no—
336(C2×D3)⋊C4—92no—
337(C2×D3)⋊C4—91no—
338(C2×D3)⋊C4—92no—
339(C2×D3)⋊C4—92no—
340(C2×D3)⋊C4—92no—
341(C2×D3)⋊C4—92no—
342C4⋊Dic3—31no—
343C4⋊Dic3—91no—
344C4⋊Dic3—91no—
345C4⋊Dic3—92no—
346Dic3⋊C4—92no—
347Dic3⋊C4—91no—
348Dic3⋊C4—91no—
349Dic3⋊C4—92no—
350C4×Dic3—31no—
351C4×Dic3—91no—
352C22×C32—22no—
353C22×C32—22no—
354C22×C32—22no—
355C22×C32—22no—
356C22×C32—21no—
357C22×C32—24no—
358C22×C32—42no—
359C22×C32—42no—
360C22×C32C2×D1214yes—
361C22×C32C2×#6714yes—
362C22×C32C23×D311yescharacteristic
363C22×C32C23×D311yescharacteristic
364C2×C3⋊D3—21no—
365C2×C3⋊D3—21no—
366C2×C3⋊D3—21no—
367C2×C3×D3—32no—
368C2×C3×D3—32no—
369C2×C3×D3—62no—
370C2×C3×D3—62no—
371C2×C3×D3—62no—
372C2×C3×D3—61no—
373C2×C3×D3—61no—
374C2×C3×D3—61no—
375C2×C3×D3—61no—
376C2×C3×D3—64no—
377C2×C3×D3—61no—
378C2×C3×D3—62no—
379C2×C3×D3—61no—
380C2×C3×D3—62no—
381C2×C3×D3—61no—
382C2×C3×D3—62no—
383C2×C3×D3—62no—
384C2×C3×D3—62no—
385C2×C3×D3—62no—
386C2×C3×D3—122no—
387C2×C3×D3—122no—
388C2×C3×D3—128no—
389C2×C3×D3—128no—
390C2×C3×D3—1216no—
391C32×C4—22no—
392C32×C4C2×D1212yes—
393C32×C4C2×#6712yes—
394C3⋊Dic3—22no—
395C3⋊Dic3—21no—
396C3⋊Dic3—21no—
397C3⋊Dic3—22no—
398C3⋊Dic3—21no—
399C3×Dic3—62no—
400C3×Dic3—62no—
401C3×Dic3—61no—
402C3×Dic3—61no—
403C3×Dic3—61no—
404C3×Dic3—62no—
405C3×Dic3—61no—
406C3×Dic3—61no—
407C2×#41—91no—
408C22×D4—91no—
409#124—271no—
410#123—272no—
411C22⋊Q8—271no—
412#121—271no—
413#121—272no—
414#120—272no—
415C4×D4—91no—
416C4×D4—271no—
417C2×C22⋊C4—272no—
418H(3,𝔽3)#54611yescharacteristic, complemented, Sylow
419C23×C3—32no—
420C23×C3—32no—
421C23×C3—62no—
422C23×C3—91no—
423C23×C3—91no—
424C23×C3—92no—
425C23×C3—184no—
426C23×C3—184no—
427C23×C3—362no—
428C23×C3C2×D3212yes—
429C22×D3—31no—
430C22×D3—31no—
431C22×D3—32no—
432C22×D3—32no—
433C22×D3—31no—
434C22×D3—61no—
435C22×D3—62no—
436C22×D3—64no—
437C22×D3—64no—
438C22×D3—64no—
439C22×D3—64no—
440C22×D3—68no—
441C22×D3—91no—
442C22×D3—124no—
443C22×D3—122no—
444C22×D3—122no—
445C22×D3—124no—
446C3×Q8—182no—
447C3×D4—34no—
448C3×D4—34no—
449C3×D4—64no—
450C3×D4—184no—
451C3×D4—184no—
452C3×D4—182no—
453C3×D4#62614yes—
454C2×C3×C4—31no—
455C2×C3×C4—31no—
456C2×C3×C4—61no—
457C2×C3×C4—91no—
458C2×C3×C4—92no—
459C2×C3×C4—91no—
460C2×C3×C4—92no—
461C2×C3×C4—91no—
462C2×C3×C4—91no—
463C2×C3×C4—182no—
464C2×C3×C4—184no—
465C2×C3×C4—182no—
466C2×C3×C4—362no—
467C2×C3×C4C2×D3211yescharacteristic
468#67—64no—
469#67—64no—
470#67—68no—
471#67—64no—
472#67—184no—
473#67—182no—
474#67—182no—
475#67—362no—
476#67—362no—
477C2×Dic3—31no—
478C2×Dic3—31no—
479C2×Dic3—31no—
480C2×Dic3—31no—
481C2×Dic3—32no—
482C2×Dic3—32no—
483C2×Dic3—31no—
484C2×Dic3—61no—
485C2×Dic3—64no—
486C2×Dic3—91no—
487C2×Dic3—91no—
488C2×Dic3—92no—
489C2×Dic3—92no—
490C2×Dic3—91no—
491C2×Dic3—122no—
492C2×Dic3—184no—
493C2×Dic3—362no—
494D12—62no—
495D12—62no—
496D12—64no—
497D12—182no—
498D12—362no—
499C4×D3—62no—
500C4×D3—62no—
501C4×D3—64no—
502C4×D3—62no—
503C4×D3—182no—
504Dic6—62no—
505Dic6—182no—
506C2×C32—24no—
507C2×C32—24no—
508C2×C32—21no—
509C2×C32—21no—
510C2×C32—21no—
511C2×C32—44no—
512C2×C32C22×D1211yescharacteristic
513C2×C32#100411yescharacteristic
514C2×C32D3×#4111yescharacteristic
515C2×C32D3×#4111yescharacteristic
516C2×C32#100911yescharacteristic
517C2×C32C22×#6711yescharacteristic
518C3⋊D3—41no—
519C3×D3—64no—
520C3×D3—62no—
521C3×D3—62no—
522C3×D3—124no—
523C3×D3—121no—
524C3×D3—122no—
525C3×D3—122no—
526C24—92no—
527#41—184no—
528C2×Q8—91no—
529C2×D4—92no—
530C2×D4—92no—
531C2×D4—91no—
532C2×D4—184no—
533C2×D4—271no—
534C2×D4—272no—
535C2×D4((C3⋊D3)⋊C3)⋊C211yescharacteristic
536C22×C4—92no—
537C22×C4—92no—
538C22×C4—91no—
539C22×C4—91no—
540C4⋊C4—91no—
541C4⋊C4—271no—
542C4⋊C4—272no—
543C22⋊C4—92no—
544C22⋊C4—271no—
545C22⋊C4—272no—
546C22⋊C4—272no—
547C22⋊C4—272no—
548C22⋊C4—271no—
549C22⋊C4—272no—
550C42—91no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—31no—
554C22×C3—31no—
555C22×C3—34no—
556C22×C3—34no—
557C22×C3—62no—
558C22×C3—62no—
559C22×C3—62no—
560C22×C3—62no—
561C22×C3—61no—
562C22×C3—64no—
563C22×C3—92no—
564C22×C3—122no—
565C22×C3—122no—
566C22×C3—181no—
567C22×C3—181no—
568C22×C3—181no—
569C22×C3—181no—
570C22×C3—181no—
571C22×C3—182no—
572C22×C3—182no—
573C22×C3—182no—
574C22×C3—368no—
575C22×C3C2×#62614yes—
576C22×C3C22×D3211yescharacteristic
577C2×D3—32no—
578C2×D3—32no—
579C2×D3—62no—
580C2×D3—61no—
581C2×D3—61no—
582C2×D3—61no—
583C2×D3—61no—
584C2×D3—62no—
585C2×D3—62no—
586C2×D3—62no—
587C2×D3—62no—
588C2×D3—62no—
589C2×D3—62no—
590C2×D3—62no—
591C2×D3—62no—
592C2×D3—64no—
593C2×D3—61no—
594C2×D3—61no—
595C2×D3—61no—
596C2×D3—122no—
597C2×D3—122no—
598C2×D3—128no—
599C2×D3—128no—
600C2×D3—1216no—
601C2×D3—181no—
602C2×D3—181no—
603C2×D3—181no—
604C3×C4—32no—
605C3×C4—32no—
606C3×C4—62no—
607C3×C4—181no—
608C3×C4—182no—
609C3×C4—181no—
610C3×C4—182no—
611C3×C4—181no—
612C3×C4—181no—
613C3×C4C2×#62612yes—
614Dic3—61no—
615Dic3—61no—
616Dic3—62no—
617Dic3—61no—
618Dic3—61no—
619Dic3—62no—
620Dic3—62no—
621Dic3—61no—
622Dic3—182no—
623Dic3—181no—
624Dic3—181no—
625Dic3—182no—
626Dic3—181no—
627C32—21no—
628C32#555411yescharacteristic, complemented
629C32#582911yescharacteristic, complemented
630C23—91no—
631C23—92no—
632C23—91no—
633C23—184no—
634C23—184no—
635C23—362no—
636C23C2×((C3⋊D3)⋊C3)⋊C212yes—
637Q8—182no—
638D4—184no—
639D4—184no—
640D4—182no—
641D4—542no—
642D4—1082no—
643D4#620014yescomplemented
644C2×C4—91no—
645C2×C4—91no—
646C2×C4—92no—
647C2×C4—91no—
648C2×C4—92no—
649C2×C4—91no—
650C2×C4—184no—
651C2×C4—182no—
652C2×C4—182no—
653C2×C4—362no—
654C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
655C2×C3—24no—
656C2×C3—31no—
657C2×C3—31no—
658C2×C3—31no—
659C2×C3—31no—
660C2×C3—31no—
661C2×C3—31no—
662C2×C3—64no—
663C2×C3—64no—
664C2×C3—61no—
665C2×C3—61no—
666C2×C3—61no—
667C2×C3—124no—
668C2×C3—182no—
669C2×C3—361no—
670C2×C3—362no—
671C2×C3#6431211yescharacteristic
672C2×C3#6431411yescharacteristic
673C2×C3C22×#62611yescharacteristic
674D3—62no—
675D3—62no—
676D3—64no—
677D3—122no—
678D3—122no—
679D3—124no—
680D3—121no—
681D3—361no—
682C22—22no—
683C22—22no—
684C22—92no—
685C22—181no—
686C22—181no—
687C22—181no—
688C22—182no—
689C22—181no—
690C22—182no—
691C22—181no—
692C22—182no—
693C22—368no—
694C22C2×#620014yes—
695C22C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic
696C4—181no—
697C4—181no—
698C4—182no—
699C4—181no—
700C4—181no—
701C4—182no—
702C4C2×#620012yes—
703C3—31no—
704C3—31no—
705C3—61no—
706C3#1059525411yescharacteristic
707C2—24no—
708C2—182no—
709C2—362no—
710C2—361no—
711C2#1172250511yescharacteristic
712C2#1172250711yescharacteristic
713C2C22×#620011yescharacteristic
subgroupG/H
centerC22C22×((C3⋊D3)⋊C3)⋊C2
commutator, cosocleC22×H(3,𝔽3)C24
Frattini, socleC22×C3C22×D32
FittingC2×D4×H(3,𝔽3)C22
hypercenterC2×D4((C3⋊D3)⋊C3)⋊C2
hypocenterH(3,𝔽3)#546
LCSG ▷ C22×H(3,𝔽3) ▷ H(3,𝔽3)
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×D4×#272C2semidirect
2. C2×#3830⋊C3C2semidirect
3. D4×(C3⋊Dic3)⋊C3C2semidirect
4. #11721323C2semidirect
5. #11721322C2semidirect
6. C2×#88451C2semidirect
7. #11721301C2semidirect
8. #11721156C2semidirect
9. C4×#6200C2semidirect
10. #11721114C2semidirect
11. #11721094C2semidirect
20. C2×#638⋊C3C22semidirect
21. C22×(C3⋊Dic3)⋊C3C22semidirect
22. C22×(C3⋊Dic3)⋊C3C22semidirect
24. C2×C4×(C3⋊D3)⋊C3C22semidirect
25. C2×#634⋊C3C22semidirect
27. C2×#6200C22semidirect
28. #3757⋊C3C22semidirect
29. C4⋊((C3⋊Dic3)⋊C3)C22semidirect
30. C4×(C3⋊Dic3)⋊C3C22semidirect
33. #88451C22semidirect
34. #88451C22semidirect
35. #88451C22semidirect
36. #88450C22semidirect
37. #88448C22semidirect
38. #88448C22semidirect
39. C2×#3830D3semidirect
44. D4×C3⋊Dic3D3semidirect
69. D4×H(3,𝔽3)D4semidirect
96. C2×#638C2×D3semidirect
97. C22×C3⋊Dic3C2×D3semidirect
98. C22×C3⋊Dic3C2×D3semidirect
100. C2×C4×C3⋊D3C2×D3semidirect
101. C2×#634C2×D3semidirect
124. #3757C2×D3semidirect
125. C4⋊(C3⋊Dic3)C2×D3semidirect
126. C4×C3⋊Dic3C2×D3semidirect
156. C2×#272#41semidirect
222. C32×D4D12semidirect
223. C32×D4#67semidirect
418. H(3,𝔽3)#546semidirect
628. C32#5554semidirect
629. C32#5829semidirect
643. D4#6200semidirect

Maximal subgroups

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

subgroupindex
C2×D4×#2722
C2×#3830⋊C32
D4×(C3⋊Dic3)⋊C32
#117213232
#117213222
C2×#884512
#117213012
#117211562
C4×#62002
#117211142
#117210942
#105952463
#105952443