Finite Group Databasebeta

← #13151381

Subgroups — #13151381

Order 1728.

1277 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×(C3⋊D3)⋊C3C211yesmaximal, characteristic
2D4×#1084C211yesmaximal, characteristic, complemented
3D4×(C3⋊Dic3)⋊C3C211yesmaximal, characteristic, complemented
4#11721315C212yesmaximal, complemented
5#11721314C212yesmaximal, complemented
6#11721310C212yesmaximal, complemented
7C2×#88450C212yesmaximal, complemented
8#11721136C211yesmaximal, characteristic, complemented
9#11721132C211yesmaximal, characteristic, complemented
10#11721105C211yesmaximal, characteristic, complemented
11#11721081C211yesmaximal, characteristic, complemented
12#10595223—31nomaximal
13#10595215—31nomaximal
14C23×(C3⋊D3)⋊C3C2212yes—
15C2×D4×H(3,𝔽3)C2211yescharacteristic
16C22×#1084C2212yescomplemented
17C2×#638⋊C3C2212yes—
18C22×(C3⋊Dic3)⋊C3C2212yescomplemented
19D4×(C3⋊D3)⋊C3C418yescomplemented
20C2×C4⋊((C3⋊D3)⋊C3)C2211yescharacteristic
21C2×C4×(C3⋊D3)⋊C3C2211yescharacteristic
22C2×((C3⋊D3)⋊C3)⋊C4C2212yescomplemented
23C2×((C3⋊D3)⋊C3)⋊C4C2212yescomplemented
24#88552C2212yescomplemented
25C4⋊#1084C2211yescharacteristic, complemented
26C4×#1084C2211yescharacteristic, complemented
27#3757⋊C3C2212yescomplemented
28C4⋊((C3⋊Dic3)⋊C3)C2211yescharacteristic, complemented
29C4×(C3⋊Dic3)⋊C3C2211yescharacteristic, complemented
30#88450C2211yescharacteristic
31#88450C2212yes—
32#88450C2211yescharacteristic
33#88450C2212yescomplemented
34#88450C2212yescomplemented
35#88448C2211yescharacteristic, complemented
36#88448C2211yescharacteristic, complemented
37#88447C2212yescomplemented
38C2×D4×C3⋊D3D311yescharacteristic
39C2×C3×D3×D4—31no—
40D4×C3⋊Dic3D311yescharacteristic, complemented
41C3×D4×Dic3—31no—
42C3×D4×Dic3—31no—
43C3×D4×Dic3—31no—
44C3×D4×Dic3—61no—
45#63974—32no—
46#67⋊Dic3—32no—
47Dic3×#67—32no—
48D3×#217—32no—
49C2×#3722—32no—
50C2×(C2×D3)⋊Dic3—32no—
51#63952—32no—
52#63952—32no—
53#63898—31no—
54#63894—31no—
55#63894—31no—
56Dic3×D12—31no—
57#63874—31no—
58#63855—31no—
59#63849—31no—
60#63841—31no—
61C23×H(3,𝔽3)C2312yes—
62C22×(C3⋊D3)⋊C3—42no—
63C22×(C3⋊D3)⋊C3—42no—
64C22×(C3⋊D3)⋊C3C2×C418yescomplemented
65C22×(C3⋊D3)⋊C3C2311yescharacteristic
66C22×(C3⋊D3)⋊C3C2312yes—
67D4×H(3,𝔽3)C2×C414yescomplemented
68C2×C4×H(3,𝔽3)C2311yescharacteristic
69C2×#1084—42no—
70C2×#1084C2311yescharacteristic
71C2×#1084C2312yes—
72C2×#1084C2311yescharacteristic
73#638⋊C3C2×C418yescomplemented
74C2×(C3⋊Dic3)⋊C3—42no—
75C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
76C2×(C3⋊Dic3)⋊C3C2312yes—
77C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
78C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
79C4⋊((C3⋊D3)⋊C3)C2×C414yescomplemented
80C4×(C3⋊D3)⋊C3C2×C414yescomplemented
81((C3⋊D3)⋊C3)⋊C4—42no—
82((C3⋊D3)⋊C3)⋊C4—42no—
83#5798—91no—
84#5545—91no—
85#5545—91no—
86C23×C3⋊D3C2×D312yes—
87C23×C3×D3—32no—
88C2×C32×D4—21no—
89C2×C32×D4C2×D311yescharacteristic
90C2×C32×D4C2×D311yescharacteristic
91C2×#638C2×D312yes—
92C22×C3⋊Dic3C2×D312yescomplemented
93D4×C3⋊D3Dic318yescomplemented
94C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
95C2×C4×C3⋊D3C2×D311yescharacteristic
96C2×C3×#67—32no—
97C22×C3×Dic3—32no—
98C22×C3×Dic3—32no—
99C22×C3×Dic3—32no—
100C22×C3×Dic3—62no—
101C3×D3×D4—38no—
102C2×C3×D12—31no—
103C2×C3×C4×D3—31no—
104C2×#624—32no—
105C2×#624—32no—
106C2×D3×Dic3—32no—
107C2×D3×Dic3—32no—
108#3757C2×D312yescomplemented
109C4⋊(C3⋊Dic3)C2×D311yescharacteristic, complemented
110C4×C3⋊Dic3C2×D311yescharacteristic, complemented
111C3×#217—32no—
112C3×#217—32no—
113C3×#217—32no—
114C3×#217—62no—
115C3×C4⋊Dic3—31no—
116C3×C4⋊Dic3—31no—
117C3×C4⋊Dic3—31no—
118C3×C4⋊Dic3—61no—
119C3×C4×Dic3—31no—
120C3×C4×Dic3—31no—
121C3×C4×Dic3—31no—
122C3×C4×Dic3—61no—
123#3724—31no—
124#3724—31no—
125Dic3⋊Dic3—31no—
126Dic3⋊Dic3—31no—
127#3722—32no—
128#3722—31no—
129#3722—31no—
130#3722—32no—
131#3722—32no—
132(C2×D3)⋊Dic3—32no—
133(C2×D3)⋊Dic3—31no—
134(C2×D3)⋊Dic3—31no—
135(C2×D3)⋊Dic3—32no—
136(C2×D3)⋊Dic3—32no—
137Dic32—32no—
138Dic32—32no—
139C22×H(3,𝔽3)—22no—
140C22×H(3,𝔽3)—22no—
141C22×H(3,𝔽3)C22×C414yes—
142C22×H(3,𝔽3)C2411yescharacteristic
143C2×(C3⋊D3)⋊C3—22no—
144C2×(C3⋊D3)⋊C3—22no—
145C2×(C3⋊D3)⋊C3—21no—
146C2×(C3⋊D3)⋊C3—21no—
147C2×(C3⋊D3)⋊C3—48no—
148C2×(C3⋊D3)⋊C3C22×C412yes—
149C2×(C3⋊D3)⋊C3C22×C414yes—
150C4×H(3,𝔽3)C22×C412yes—
151#1084—21no—
152#1084—21no—
153#1084—22no—
154(C3⋊Dic3)⋊C3—21no—
155(C3⋊Dic3)⋊C3—22no—
156(C3⋊Dic3)⋊C3—21no—
157(C3⋊Dic3)⋊C3C22×C412yes—
158C22×C3×D4—91no—
159C2×D3×D4—31no—
160C2×D3×D4—91no—
161C3×C4×D4—91no—
162C3×C4×D4—91no—
163C2×#217—92no—
164C2×#217—92no—
165D4×Dic3—31no—
166D4×Dic3—31no—
167D4×Dic3—31no—
168D4×Dic3—61no—
169D4×Dic3—91no—
170D4×Dic3—91no—
171D4×Dic3—91no—
172D4×Dic3—92no—
173D4×Dic3—92no—
174C4×#67—92no—
175C4×#67—92no—
176C2×(C2×D3)⋊C4—92no—
177C2×(C2×D3)⋊C4—92no—
178#926—91no—
179#926—91no—
180#893—91no—
181#893—91no—
182#892—91no—
183#892—91no—
184#67⋊C4—92no—
185#67⋊C4—92no—
186D3×C22⋊C4—92no—
187D3×C22⋊C4—92no—
188C4×D12—91no—
189C4×D12—91no—
190#872—91no—
191#872—91no—
192C23×C32—22no—
193C23×C32C22×D312yes—
194C23×C32C22×D312yes—
195C22×C3⋊D3—42no—
196C22×C3⋊D3—42no—
197C22×C3⋊D3C2×Dic318yescomplemented
198C22×C3⋊D3C22×D311yescharacteristic
199C22×C3⋊D3C22×D312yes—
200C22×C3×D3—31no—
201C22×C3×D3—32no—
202C22×C3×D3—38no—
203C22×C3×D3—122no—
204C22×C3×D3—122no—
205C32×D4—24no—
206C32×D4C4×D314yescomplemented
207C32×D4C2×Dic314yescomplemented
208C2×C32×C4—21no—
209C2×C32×C4C22×D311yescharacteristic
210C2×C32×C4C22×D311yescharacteristic
211#638C2×Dic318yescomplemented
212C2×C3⋊Dic3—42no—
213C2×C3⋊Dic3C22×D312yes—
214C2×C3⋊Dic3C22×D311yescharacteristic
215C2×C3⋊Dic3C22×D311yescharacteristic
216C2×C3⋊Dic3C22×D311yescharacteristic
217C4⋊(C3⋊D3)C2×Dic314yescomplemented
218C4×C3⋊D3C2×Dic314yescomplemented
219C3×#67—38no—
220C2×C3×Dic3—31no—
221C2×C3×Dic3—32no—
222C2×C3×Dic3—31no—
223C2×C3×Dic3—31no—
224C2×C3×Dic3—32no—
225C2×C3×Dic3—32no—
226C2×C3×Dic3—31no—
227C2×C3×Dic3—31no—
228C2×C3×Dic3—31no—
229C2×C3×Dic3—31no—
230C2×C3×Dic3—61no—
231C2×C3×Dic3—61no—
232C2×C3×Dic3—62no—
233C2×C3×Dic3—122no—
234C2×C3×Dic3—122no—
235C2×C3×Dic3—122no—
236C2×C3×Dic3—124no—
237C3×D12—34no—
238C3×C4×D3—34no—
239#624—122no—
240#624—122no—
241D3×Dic3—122no—
242D3×Dic3—122no—
243#518—271noSylow
244C2×H(3,𝔽3)—24no—
245C2×H(3,𝔽3)C23×C411yescharacteristic
246C2×H(3,𝔽3)H(5,𝔽2)11yescharacteristic
247C2×H(3,𝔽3)H(5,𝔽2)11yescharacteristic
248(C3⋊D3)⋊C3—22no—
249(C3⋊D3)⋊C3—24no—
250C24×C3—92no—
251C23×D3—32no—
252C23×D3—92no—
253C2×C3×D4—31no—
254C2×C3×D4—31no—
255C2×C3×D4—61no—
256C2×C3×D4—91no—
257C2×C3×D4—98no—
258C2×C3×D4—92no—
259C2×C3×D4D3211yescharacteristic
260C22×C3×C4—91no—
261C22×C3×C4—92no—
262C22×C3×C4—92no—
263C2×#67—32no—
264C2×#67—92no—
265C22×Dic3—32no—
266C22×Dic3—32no—
267C22×Dic3—32no—
268C22×Dic3—62no—
269C22×Dic3—92no—
270C22×Dic3—92no—
271C22×Dic3—92no—
272D3×D4—38no—
273D3×D4—98no—
274C2×D12—31no—
275C2×D12—91no—
276C2×C4×D3—31no—
277C2×C4×D3—91no—
278C2×C4×D3—92no—
279C2×C4×D3—92no—
280C2×C4×D3—92no—
281C2×C4×D3—92no—
282C3×C4⋊C4—91no—
283C3×C4⋊C4—91no—
284C3×C22⋊C4—92no—
285C3×C22⋊C4—92no—
286C3×C42—91no—
287C3×C42—91no—
288#217—32no—
289#217—32no—
290#217—32no—
291#217—62no—
292#217—92no—
293#217—91no—
294#217—91no—
295#217—92no—
296#217—92no—
297#217—92no—
298(C2×D3)⋊C4—91no—
299(C2×D3)⋊C4—91no—
300(C2×D3)⋊C4—92no—
301(C2×D3)⋊C4—92no—
302(C2×D3)⋊C4—92no—
303(C2×D3)⋊C4—91no—
304(C2×D3)⋊C4—91no—
305(C2×D3)⋊C4—92no—
306(C2×D3)⋊C4—92no—
307(C2×D3)⋊C4—92no—
308C4⋊Dic3—31no—
309C4⋊Dic3—31no—
310C4⋊Dic3—31no—
311C4⋊Dic3—61no—
312C4⋊Dic3—91no—
313C4⋊Dic3—91no—
314C4⋊Dic3—91no—
315Dic3⋊C4—91no—
316Dic3⋊C4—91no—
317Dic3⋊C4—91no—
318Dic3⋊C4—91no—
319C4×Dic3—31no—
320C4×Dic3—31no—
321C4×Dic3—31no—
322C4×Dic3—61no—
323C4×Dic3—91no—
324C4×Dic3—92no—
325C4×Dic3—92no—
326C4×Dic3—92no—
327C22×C32—22no—
328C22×C32—22no—
329C22×C32—22no—
330C22×C32—22no—
331C22×C32—21no—
332C22×C32—24no—
333C22×C32—42no—
334C22×C32—42no—
335C22×C32C2×C4×D314yes—
336C22×C32C22×Dic314yes—
337C22×C32C23×D311yescharacteristic
338C22×C32C23×D311yescharacteristic
339C2×C3⋊D3—22no—
340C2×C3⋊D3—22no—
341C2×C3⋊D3—21no—
342C2×C3⋊D3—21no—
343C2×C3⋊D3—48no—
344C2×C3⋊D3C22×Dic312yes—
345C2×C3⋊D3C22×Dic314yes—
346C2×C3×D3—32no—
347C2×C3×D3—34no—
348C2×C3×D3—62no—
349C2×C3×D3—61no—
350C2×C3×D3—62no—
351C2×C3×D3—61no—
352C2×C3×D3—128no—
353C32×C4—22no—
354C32×C4C2×C4×D312yes—
355C32×C4C22×Dic312yes—
356C3⋊Dic3—22no—
357C3⋊Dic3—21no—
358C3⋊Dic3—21no—
359C3⋊Dic3C22×Dic312yes—
360C3×Dic3—32no—
361C3×Dic3—62no—
362C3×Dic3—61no—
363C3×Dic3—62no—
364C3×Dic3—61no—
365C3×Dic3—61no—
366C3×Dic3—61no—
367C3×Dic3—62no—
368C3×Dic3—61no—
369C3×Dic3—62no—
370C3×Dic3—61no—
371C3×Dic3—121no—
372C3×Dic3—122no—
373C22×D4—91no—
374C4×D4—91no—
375C4×D4—91no—
376C4×D4—271no—
377C4×D4—271no—
378C4×D4—272no—
379C4×D4—272no—
380#117—271no—
381#117—271no—
382C2×C22⋊C4—272no—
383C2×C22⋊C4—272no—
384H(3,𝔽3)#51811yescharacteristic, complemented, Sylow
385C23×C3—32no—
386C23×C3—32no—
387C23×C3—62no—
388C23×C3—91no—
389C23×C3—92no—
390C23×C3—98no—
391C23×C3—362no—
392C23×C3—362no—
393C23×C3C2×D3212yes—
394C22×D3—31no—
395C22×D3—32no—
396C22×D3—38no—
397C22×D3—91no—
398C22×D3—92no—
399C22×D3—98no—
400C22×D3—122no—
401C22×D3—122no—
402C22×D3—362no—
403C22×D3—362no—
404C3×D4—34no—
405C3×D4—34no—
406C3×D4—64no—
407C3×D4—94no—
408C3×D4—98no—
409C3×D4D3×Dic314yes—
410C2×C3×C4—31no—
411C2×C3×C4—31no—
412C2×C3×C4—61no—
413C2×C3×C4—94no—
414C2×C3×C4—91no—
415C2×C3×C4—92no—
416C2×C3×C4—91no—
417C2×C3×C4—91no—
418C2×C3×C4—92no—
419C2×C3×C4—91no—
420C2×C3×C4—91no—
421C2×C3×C4—362no—
422C2×C3×C4—362no—
423C2×C3×C4C2×D3211yescharacteristic
424#67—38no—
425#67—98no—
426C2×Dic3—31no—
427C2×Dic3—31no—
428C2×Dic3—31no—
429C2×Dic3—31no—
430C2×Dic3—31no—
431C2×Dic3—32no—
432C2×Dic3—32no—
433C2×Dic3—31no—
434C2×Dic3—31no—
435C2×Dic3—32no—
436C2×Dic3—61no—
437C2×Dic3—61no—
438C2×Dic3—62no—
439C2×Dic3—91no—
440C2×Dic3—91no—
441C2×Dic3—91no—
442C2×Dic3—92no—
443C2×Dic3—122no—
444C2×Dic3—122no—
445C2×Dic3—122no—
446C2×Dic3—124no—
447C2×Dic3—362no—
448C2×Dic3—362no—
449C2×Dic3—362no—
450D12—34no—
451D12—94no—
452C4×D3—34no—
453C4×D3—94no—
454C4×D3—362no—
455C4×D3—362no—
456C4×D3—362no—
457C4×D3—362no—
458C2×C32—24no—
459C2×C32—24no—
460C2×C32—21no—
461C2×C32—21no—
462C2×C32—21no—
463C2×C32—44no—
464C2×C32C22×C4×D311yescharacteristic
465C2×C32#100411yescharacteristic
466C2×C32#100411yescharacteristic
467C2×C32#100411yescharacteristic
468C2×C32#100911yescharacteristic
469C2×C32C23×Dic311yescharacteristic
470C3⋊D3—22no—
471C3⋊D3—24no—
472C3×D3—64no—
473C3×D3—62no—
474C24—92no—
475C2×D4—92no—
476C2×D4—98no—
477C2×D4—91no—
478C2×D4((C3⋊D3)⋊C3)⋊C211yescharacteristic
479C22×C4—91no—
480C22×C4—92no—
481C22×C4—92no—
482C22×C4—272no—
483C22×C4—272no—
484C4⋊C4—91no—
485C4⋊C4—91no—
486C4⋊C4—271no—
487C4⋊C4—271no—
488C22⋊C4—92no—
489C22⋊C4—92no—
490C22⋊C4—271no—
491C22⋊C4—271no—
492C22⋊C4—272no—
493C22⋊C4—272no—
494C22⋊C4—272no—
495C42—91no—
496C42—91no—
497C42—272no—
498C22×C3—22no—
499C22×C3—22no—
500C22×C3—31no—
501C22×C3—31no—
502C22×C3—34no—
503C22×C3—34no—
504C22×C3—62no—
505C22×C3—62no—
506C22×C3—62no—
507C22×C3—62no—
508C22×C3—61no—
509C22×C3—64no—
510C22×C3—92no—
511C22×C3—94no—
512C22×C3—122no—
513C22×C3—122no—
514C22×C3—182no—
515C22×C3—182no—
516C22×C3—181no—
517C22×C3—181no—
518C22×C3—368no—
519C22×C3C2×D3×Dic314yes—
520C22×C3C22×D3211yescharacteristic
521C2×D3—32no—
522C2×D3—34no—
523C2×D3—62no—
524C2×D3—61no—
525C2×D3—62no—
526C2×D3—61no—
527C2×D3—92no—
528C2×D3—94no—
529C2×D3—128no—
530C2×D3—182no—
531C2×D3—182no—
532C2×D3—181no—
533C2×D3—181no—
534C2×D3—368no—
535C3×C4—32no—
536C3×C4—32no—
537C3×C4—62no—
538C3×C4—92no—
539C3×C4—181no—
540C3×C4—182no—
541C3×C4—181no—
542C3×C4—181no—
543C3×C4—182no—
544C3×C4—181no—
545C3×C4C2×D3×Dic312yes—
546Dic3—32no—
547Dic3—61no—
548Dic3—62no—
549Dic3—61no—
550Dic3—61no—
551Dic3—62no—
552Dic3—61no—
553Dic3—62no—
554Dic3—62no—
555Dic3—61no—
556Dic3—61no—
557Dic3—92no—
558Dic3—122no—
559Dic3—121no—
560Dic3—181no—
561Dic3—182no—
562Dic3—181no—
563C32—21no—
564C32#554511yescharacteristic, complemented
565C32#579811yescharacteristic, complemented
566C23—91no—
567C23—92no—
568C23—98no—
569C23—362no—
570C23—362no—
571C23C2×((C3⋊D3)⋊C3)⋊C212yes—
572D4—98no—
573D4—94no—
574D4((C3⋊D3)⋊C3)⋊C414yescomplemented
575C2×C4—91no—
576C2×C4—94no—
577C2×C4—91no—
578C2×C4—91no—
579C2×C4—91no—
580C2×C4—91no—
581C2×C4—92no—
582C2×C4—92no—
583C2×C4—362no—
584C2×C4—362no—
585C2×C4—1082no—
586C2×C4—1082no—
587C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
588C2×C3—24no—
589C2×C3—31no—
590C2×C3—31no—
591C2×C3—31no—
592C2×C3—31no—
593C2×C3—31no—
594C2×C3—31no—
595C2×C3—64no—
596C2×C3—64no—
597C2×C3—61no—
598C2×C3—61no—
599C2×C3—61no—
600C2×C3—124no—
601C2×C3—182no—
602C2×C3—184no—
603C2×C3#6431311yescharacteristic
604C2×C3#6431411yescharacteristic
605C2×C3C22×D3×Dic311yescharacteristic
606D3—62no—
607D3—64no—
608D3—182no—
609D3—184no—
610C22—22no—
611C22—22no—
612C22—92no—
613C22—94no—
614C22—182no—
615C22—181no—
616C22—182no—
617C22—181no—
618C22—368no—
619C22C2×((C3⋊D3)⋊C3)⋊C414yes—
620C22C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic
621C4—92no—
622C4—181no—
623C4—182no—
624C4—181no—
625C4—181no—
626C4—182no—
627C4—181no—
628C4C2×((C3⋊D3)⋊C3)⋊C412yes—
629C3—31no—
630C3—31no—
631C3—61no—
632C3#1059521511yescharacteristic
633C2—24no—
634C2—182no—
635C2—184no—
636C2#1172250611yescharacteristic
637C2#1172250711yescharacteristic
638C2C22×((C3⋊D3)⋊C3)⋊C411yescharacteristic
subgroupG/H
centerC22C22×((C3⋊D3)⋊C3)⋊C2
commutatorC2×H(3,𝔽3)C23×C4
Frattini, socleC22×C3C22×D32
FittingC2×D4×H(3,𝔽3)C22
prime radicalC2×D4×(C3⋊D3)⋊C3C2
cosocleC22×H(3,𝔽3)C24
hypercenterC2×D4((C3⋊D3)⋊C3)⋊C2
hypocenterH(3,𝔽3)#518
LCSG ▷ C2×H(3,𝔽3) ▷ H(3,𝔽3)
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
2. D4×#1084C2semidirect
3. D4×(C3⋊Dic3)⋊C3C2semidirect
4. #11721315C2semidirect
5. #11721314C2semidirect
6. #11721310C2semidirect
7. C2×#88450C2semidirect
8. #11721136C2semidirect
9. #11721132C2semidirect
10. #11721105C2semidirect
11. #11721081C2semidirect
16. C22×#1084C22semidirect
18. C22×(C3⋊Dic3)⋊C3C22semidirect
19. D4×(C3⋊D3)⋊C3C4semidirect
22. C2×((C3⋊D3)⋊C3)⋊C4C22semidirect
23. C2×((C3⋊D3)⋊C3)⋊C4C22semidirect
24. #88552C22semidirect
25. C4⋊#1084C22semidirect
26. C4×#1084C22semidirect
27. #3757⋊C3C22semidirect
28. C4⋊((C3⋊Dic3)⋊C3)C22semidirect
29. C4×(C3⋊Dic3)⋊C3C22semidirect
33. #88450C22semidirect
34. #88450C22semidirect
35. #88448C22semidirect
36. #88448C22semidirect
37. #88447C22semidirect
40. D4×C3⋊Dic3D3semidirect
64. C22×(C3⋊D3)⋊C3C2×C4semidirect
67. D4×H(3,𝔽3)C2×C4semidirect
73. #638⋊C3C2×C4semidirect
79. C4⋊((C3⋊D3)⋊C3)C2×C4semidirect
80. C4×(C3⋊D3)⋊C3C2×C4semidirect
92. C22×C3⋊Dic3C2×D3semidirect
93. D4×C3⋊D3Dic3semidirect
108. #3757C2×D3semidirect
109. C4⋊(C3⋊Dic3)C2×D3semidirect
110. C4×C3⋊Dic3C2×D3semidirect
197. C22×C3⋊D3C2×Dic3semidirect
206. C32×D4C4×D3semidirect
207. C32×D4C2×Dic3semidirect
211. #638C2×Dic3semidirect
217. C4⋊(C3⋊D3)C2×Dic3semidirect
218. C4×C3⋊D3C2×Dic3semidirect
384. H(3,𝔽3)#518semidirect
564. C32#5545semidirect
565. C32#5798semidirect
574. D4((C3⋊D3)⋊C3)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×D4×(C3⋊D3)⋊C32
D4×#10842
D4×(C3⋊Dic3)⋊C32
#117213152
#117213142
#117213102
C2×#884502
#117211362
#117211322
#117211052
#117210812
#105952233
#105952153