Finite Group Databasebeta

← C3×#82336 #11805742

Subgroups — C3×#82336 #11805742

Order 1152.

1389 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C4×D4C211yesmaximal, characteristic
2C3×#5220C212yesmaximal
3C3×#5212C211yesmaximal, characteristic, complemented
4C3×#5211C211yesmaximal, characteristic, complemented
5C3×C4×#217C211yesmaximal, characteristic, complemented
6C2×C3×C3⋊#95C211yesmaximal, characteristic, complemented
7C3×#4980C212yesmaximal, complemented
8C3×#4951C212yesmaximal, complemented
9C3×Dic3×C22⋊C4C212yesmaximal, complemented
10C3×#4937C211yesmaximal, characteristic, complemented
11C3×#4932C211yesmaximal, characteristic, complemented
12C3×#2353—31nomaximal
13#82336C311yesmaximal, characteristic, direct product factor
14C22×C32×D4C2211yescharacteristic
15C23×C32×C4C2211yescharacteristic
16C23×C32×C4C2211yescharacteristic
17C23×C3×Dic3C2212yes—
18C32×C4×D4C418yescomplemented
19C2×C32×C4⋊C4C2211yescharacteristic
20C2×C32×C22⋊C4C2211yescharacteristic
21C2×C32×C22⋊C4C2211yescharacteristic
22C2×C32×C42C2211yescharacteristic
23C2×C3×#217C2212yes—
24C2×C3×#217C2212yes—
25C2×C3×#217C2212yes—
26C2×C3×C4⋊Dic3C2212yes—
27C2×C3×C4×Dic3C2212yes—
28C2×C3×C4×Dic3C2212yes—
29C3×C3⋊#95C2211yescharacteristic
30C3×C3⋊#95C2211yescharacteristic
31C3×C3⋊#95C2212yes—
32C3×C3⋊#95C2212yes—
33C3×C3⋊#95C2211yescharacteristic
34C3×C3⋊#95C2211yescharacteristic
35C3×C3⋊#95C2212yes—
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2212yes—
38C2×C3×C4×D4—21no—
39C2×C3×C4×D4D311yescharacteristic
40C2×C3×C4×D4C2×C311yescharacteristic
41C3×#388—32no—
42C3×#387—32no—
43C3×#386—32no—
44C3×#383—31no—
45C3×#381—31no—
46C3×#380—31no—
47C3×C4×C22⋊C4—31no—
48C3×C4×C22⋊C4—32no—
49C3×#376—31no—
50C2×C3×#95—31no—
51#5220C2×C312yes—
52#5212C2×C311yescharacteristic, complemented
53#5211C2×C311yescharacteristic, complemented
54C4×#217C2×C311yescharacteristic, complemented
55C2×C3⋊#95C2×C311yescharacteristic, complemented
56#4980C2×C312yescomplemented
57#4951C2×C312yescomplemented
58Dic3×C22⋊C4C2×C312yescomplemented
59#4937C2×C311yescharacteristic, complemented
60#4932C2×C311yescharacteristic, complemented
61C24×C32C2311yescharacteristic
62C24×C32C2311yescharacteristic
63C2×C32×D4—22no—
64C2×C32×D4—22no—
65C2×C32×D4C2×C414yes—
66C22×C32×C4—42no—
67C22×C32×C4—42no—
68C22×C32×C4C2×C414yes—
69C22×C32×C4C2×C414yescomplemented
70C22×C32×C4C2311yescharacteristic
71C22×C32×C4C2311yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C22×C32×C4C2311yescharacteristic
74C22×C32×C4C2311yescharacteristic
75C22×C3×Dic3—24no—
76C22×C3×Dic3—24no—
77C22×C3×Dic3—42no—
78C22×C3×Dic3C2312yes—
79C22×C3×Dic3C2312yes—
80C22×C3×Dic3C2312yes—
81C22×C3×Dic3C2312yes—
82C32×C4⋊C4C2×C414yescomplemented
83C32×C22⋊C4C2×C414yes—
84C32×C22⋊C4C2×C414yescomplemented
85C32×C42C2×C414yescomplemented
86C3×#217—24no—
87C3×#217—24no—
88C3×#217—42no—
89C3×C4⋊Dic3—42no—
90C3×C4×Dic3—24no—
91C3×C4×Dic3—42no—
92#2353—31noSylow
93C22×C3×D4—21no—
94C22×C3×D4C2×D311yescharacteristic
95C22×C3×D4C22×C311yescharacteristic
96C23×C3×C4—21no—
97C23×C3×C4—21no—
98C23×C3×C4—32no—
99C23×C3×C4C2×D311yescharacteristic
100C23×C3×C4C2×D311yescharacteristic
101C23×C3×C4C22×C311yescharacteristic
102C23×C3×C4C22×C311yescharacteristic
103C23×Dic3C22×C312yes—
104C3×C4×D4—28no—
105C3×C4×D4Dic318yescomplemented
106C3×C4×D4C3×C418yescomplemented
107C2×C3×C4⋊C4—21no—
108C2×C3×C4⋊C4—32no—
109C2×C3×C4⋊C4C2×D311yescharacteristic
110C2×C3×C4⋊C4C22×C311yescharacteristic
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—32no—
114C2×C3×C22⋊C4—32no—
115C2×C3×C22⋊C4—32no—
116C2×C3×C22⋊C4C2×D311yescharacteristic
117C2×C3×C22⋊C4C2×D311yescharacteristic
118C2×C3×C22⋊C4C22×C311yescharacteristic
119C2×C3×C22⋊C4C22×C311yescharacteristic
120C2×C3×C42—21no—
121C2×C3×C42—32no—
122C2×C3×C42—32no—
123C2×C3×C42C2×D311yescharacteristic
124C2×C3×C42C22×C311yescharacteristic
125C2×#217C22×C312yes—
126C2×#217C22×C312yes—
127C2×#217C22×C312yes—
128C2×C4⋊Dic3C22×C312yes—
129C2×C4×Dic3C22×C312yes—
130C2×C4×Dic3C22×C312yes—
131C3×#95—31no—
132C3×#95—31no—
133C3×#95—32no—
134C3×#95—31no—
135C3×#95—32no—
136C3×#95—31no—
137C3×#95—32no—
138C3×#95—32no—
139C3×#95—32no—
140C3⋊#95C22×C311yescharacteristic
141C3⋊#95C22×C311yescharacteristic
142C3⋊#95C22×C312yes—
143C3⋊#95C22×C312yes—
144C3⋊#95C22×C311yescharacteristic
145C3⋊#95C22×C311yescharacteristic
146C3⋊#95C22×C312yes—
147C3⋊#95C22×C312yes—
148C3⋊#95C22×C312yes—
149C23×C32—21no—
150C23×C32—21no—
151C23×C32—22no—
152C23×C32—22no—
153C23×C32—22no—
154C23×C32—22no—
155C23×C32C22×C412yes—
156C23×C32C22×C412yes—
157C23×C32#4112yes—
158C23×C32#4112yes—
159C23×C32C2411yescharacteristic
160C32×D4—28no—
161C2×C32×C4—21no—
162C2×C32×C4—21no—
163C2×C32×C4—22no—
164C2×C32×C4—22no—
165C2×C32×C4—22no—
166C2×C32×C4—22no—
167C2×C32×C4—44no—
168C2×C32×C4—44no—
169C2×C32×C4C22×C412yes—
170C2×C32×C4C22×C412yes—
171C2×C32×C4C22×C412yes—
172C2×C32×C4C22×C412yes—
173C2×C32×C4C22×C412yes—
174C2×C3×Dic3—22no—
175C2×C3×Dic3—22no—
176C2×C3×Dic3—22no—
177C2×C3×Dic3—22no—
178C2×C3×Dic3—22no—
179C2×C3×Dic3—22no—
180C2×C3×Dic3—22no—
181C2×C3×Dic3—22no—
182C2×C3×Dic3—22no—
183C2×C3×Dic3—22no—
184C2×C3×Dic3—22no—
185C2×C3×Dic3—48no—
186C2×C3×Dic3#4114yes—
187C2×C4×D4C3×D311yescharacteristic
188#388—32no—
189#387—32no—
190#386—32no—
191#383—31no—
192#381—31no—
193#380—31no—
194C4×C22⋊C4—31no—
195C4×C22⋊C4—32no—
196#376—31no—
197C2×#95—31no—
198C24×C3—21no—
199C24×C3—21no—
200C24×C3C22×D311yescharacteristic
201C24×C3C22×D311yescharacteristic
202C24×C3C23×C311yescharacteristic
203C24×C3C23×C311yescharacteristic
204C2×C3×D4—24no—
205C2×C3×D4—24no—
206C2×C3×D4—22no—
207C2×C3×D4—22no—
208C2×C3×D4—22no—
209C2×C3×D4—22no—
210C2×C3×D4—24no—
211C2×C3×D4C2×Dic314yes—
212C2×C3×D4C2×C3×C414yes—
213C22×C3×C4—24no—
214C22×C3×C4—24no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—32no—
221C22×C3×C4—32no—
222C22×C3×C4—32no—
223C22×C3×C4—32no—
224C22×C3×C4—42no—
225C22×C3×C4—42no—
226C22×C3×C4—42no—
227C22×C3×C4—42no—
228C22×C3×C4—44no—
229C22×C3×C4—44no—
230C22×C3×C4—64no—
231C22×C3×C4—64no—
232C22×C3×C4—122no—
233C22×C3×C4C2×Dic314yes—
234C22×C3×C4C2×Dic314yescomplemented
235C22×C3×C4C2×C3×C414yes—
236C22×C3×C4C2×C3×C414yescomplemented
237C22×C3×C4C22×D311yescharacteristic
238C22×C3×C4C22×D311yescharacteristic
239C22×C3×C4C22×D311yescharacteristic
240C22×C3×C4C22×D311yescharacteristic
241C22×C3×C4C22×D311yescharacteristic
242C22×C3×C4C23×C311yescharacteristic
243C22×C3×C4C23×C311yescharacteristic
244C22×C3×C4C23×C311yescharacteristic
245C22×C3×C4C23×C311yescharacteristic
246C22×C3×C4C23×C311yescharacteristic
247C22×Dic3—24no—
248C22×Dic3—24no—
249C22×Dic3—42no—
250C22×Dic3C23×C312yes—
251C22×Dic3C23×C312yes—
252C22×Dic3C23×C312yes—
253C22×Dic3C23×C312yes—
254C3×C4⋊C4—24no—
255C3×C4⋊C4—122no—
256C3×C4⋊C4C2×Dic314yescomplemented
257C3×C4⋊C4C2×C3×C414yescomplemented
258C3×C22⋊C4—24no—
259C3×C22⋊C4—24no—
260C3×C22⋊C4—64no—
261C3×C22⋊C4—64no—
262C3×C22⋊C4—122no—
263C3×C22⋊C4C2×Dic314yes—
264C3×C22⋊C4C2×Dic314yescomplemented
265C3×C22⋊C4C2×C3×C414yes—
266C3×C22⋊C4C2×C3×C414yescomplemented
267C3×C42—24no—
268C3×C42—64no—
269C3×C42—122no—
270C3×C42C2×Dic314yescomplemented
271C3×C42C2×C3×C414yescomplemented
272#217—24no—
273#217—24no—
274#217—42no—
275C4⋊Dic3—42no—
276C4×Dic3—24no—
277C4×Dic3—42no—
278C22×C32—22no—
279C22×C32—22no—
280C22×C32—22no—
281C22×C32—24no—
282C22×C32—24no—
283C22×C32—22no—
284C22×C32—22no—
285C22×C32—42no—
286C22×C32—42no—
287C22×C32#11714yes—
288C22×C32C23×C411yescharacteristic
289C22×C32C2×#4111yescharacteristic
290C22×C32C2×#4111yescharacteristic
291C22×C32C2×#4112yes—
292C22×C32H(5,𝔽2)12yes—
293C32×C4—22no—
294C32×C4—22no—
295C32×C4—22no—
296C32×C4—22no—
297C32×C4—22no—
298C3×Dic3—24no—
299C3×Dic3—42no—
300C3×Dic3—42no—
301C3×Dic3—42no—
302C22×D4C2×C3×D311yescharacteristic
303C23×C4—32no—
304C23×C4C2×C3×D311yescharacteristic
305C23×C4C2×C3×D311yescharacteristic
306C4×D4C3×Dic318yescomplemented
307C2×C4⋊C4—32no—
308C2×C4⋊C4C2×C3×D311yescharacteristic
309C2×C22⋊C4—32no—
310C2×C22⋊C4—32no—
311C2×C22⋊C4—32no—
312C2×C22⋊C4C2×C3×D311yescharacteristic
313C2×C22⋊C4C2×C3×D311yescharacteristic
314C2×C42—32no—
315C2×C42—32no—
316C2×C42C2×C3×D311yescharacteristic
317#95—31no—
318#95—31no—
319#95—32no—
320#95—31no—
321#95—32no—
322#95—31no—
323#95—32no—
324#95—32no—
325#95—32no—
326C23×C3—22no—
327C23×C3—22no—
328C23×C3—22no—
329C23×C3—22no—
330C23×C3—22no—
331C23×C3—22no—
332C23×C3—21no—
333C23×C3—21no—
334C23×C3—22no—
335C23×C3—22no—
336C23×C3—22no—
337C23×C3—21no—
338C23×C3—21no—
339C23×C3—22no—
340C23×C3—21no—
341C23×C3—22no—
342C23×C3—22no—
343C23×C3—22no—
344C23×C3—22no—
345C23×C3—42no—
346C23×C3—42no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3#23512yes—
350C23×C3#23512yes—
351C23×C3C22×Dic312yes—
352C23×C3C22×Dic312yes—
353C23×C3C22×C3×C412yes—
354C23×C3C22×C3×C412yes—
355C23×C3C3×#4112yes—
356C23×C3C3×#4112yes—
357C23×C3C23×D311yescharacteristic
358C23×C3C24×C311yescharacteristic
359C3×D4—216no—
360C3×D4—28no—
361C3×D4—28no—
362C2×C3×C4—24no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
371C2×C3×C4—22no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—34no—
383C2×C3×C4—42no—
384C2×C3×C4—42no—
385C2×C3×C4—42no—
386C2×C3×C4—44no—
387C2×C3×C4—44no—
388C2×C3×C4—44no—
389C2×C3×C4—44no—
390C2×C3×C4—48no—
391C2×C3×C4—48no—
392C2×C3×C4—62no—
393C2×C3×C4—62no—
394C2×C3×C4—62no—
395C2×C3×C4—62no—
396C2×C3×C4—62no—
397C2×C3×C4—62no—
398C2×C3×C4—62no—
399C2×C3×C4—62no—
400C2×C3×C4—62no—
401C2×C3×C4—62no—
402C2×C3×C4—62no—
403C2×C3×C4—128no—
404C2×C3×C4C22×Dic312yes—
405C2×C3×C4C22×Dic312yes—
406C2×C3×C4C22×Dic312yes—
407C2×C3×C4C22×Dic312yes—
408C2×C3×C4C22×Dic312yes—
409C2×C3×C4C22×C3×C412yes—
410C2×C3×C4C22×C3×C412yes—
411C2×C3×C4C22×C3×C412yes—
412C2×C3×C4C22×C3×C412yes—
413C2×C3×C4C22×C3×C412yes—
414C2×Dic3—22no—
415C2×Dic3—22no—
416C2×Dic3—22no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—22no—
421C2×Dic3—22no—
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—48no—
426C2×Dic3C3×#4114yes—
427C2×C32—24no—
428C2×C32—42no—
429C2×C32C2×#11711yescharacteristic
430C2×C32C4×#4111yescharacteristic
431C2×C32#51811yescharacteristic
432C2×C32#55112yes—
433C2×C32#55312yes—
434C24C22×C3×D311yescharacteristic
435C24C22×C3×D311yescharacteristic
436C2×D4—22no—
437C2×D4—22no—
438C2×D4C2×C3×Dic314yes—
439C22×C4—32no—
440C22×C4—32no—
441C22×C4—32no—
442C22×C4—32no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—64no—
446C22×C4—64no—
447C22×C4—122no—
448C22×C4C2×C3×Dic314yes—
449C22×C4C2×C3×Dic314yescomplemented
450C22×C4C22×C3×D311yescharacteristic
451C22×C4C22×C3×D311yescharacteristic
452C22×C4C22×C3×D311yescharacteristic
453C22×C4C22×C3×D311yescharacteristic
454C22×C4C22×C3×D311yescharacteristic
455C4⋊C4—122no—
456C4⋊C4C2×C3×Dic314yescomplemented
457C22⋊C4—64no—
458C22⋊C4—64no—
459C22⋊C4—122no—
460C22⋊C4C2×C3×Dic314yes—
461C22⋊C4C2×C3×Dic314yescomplemented
462C42—64no—
463C42—122no—
464C42C2×C3×Dic314yescomplemented
465C22×C3—24no—
466C22×C3—22no—
467C22×C3—24no—
468C22×C3—22no—
469C22×C3—22no—
470C22×C3—22no—
471C22×C3—24no—
472C22×C3—24no—
473C22×C3—24no—
474C22×C3—22no—
475C22×C3—22no—
476C22×C3—22no—
477C22×C3—22no—
478C22×C3—22no—
479C22×C3—22no—
480C22×C3—24no—
481C22×C3—21no—
482C22×C3—21no—
483C22×C3—22no—
484C22×C3—22no—
485C22×C3—21no—
486C22×C3—42no—
487C22×C3—42no—
488C22×C3—44no—
489C22×C3—44no—
490C22×C3—42no—
491C22×C3—42no—
492C22×C3—44no—
493C22×C3—44no—
494C22×C3—42no—
495C22×C3—42no—
496C22×C3—42no—
497C22×C3—42no—
498C22×C3#92614yes—
499C22×C3C3×#11714yes—
500C22×C3C2×#23511yescharacteristic
501C22×C3C2×#23511yescharacteristic
502C22×C3#100412yes—
503C22×C3D3×#4112yes—
504C22×C3C23×Dic311yescharacteristic
505C22×C3C23×C3×C411yescharacteristic
506C22×C3C2×C3×#4111yescharacteristic
507C22×C3C2×C3×#4111yescharacteristic
508C22×C3C2×C3×#4112yes—
509C22×C3C3×H(5,𝔽2)12yes—
510C3×C4—24no—
511C3×C4—24no—
512C3×C4—22no—
513C3×C4—22no—
514C3×C4—22no—
515C3×C4—22no—
516C3×C4—22no—
517C3×C4—22no—
518C3×C4—22no—
519C3×C4—22no—
520C3×C4—22no—
521C3×C4—22no—
522C3×C4—42no—
523C3×C4—42no—
524C3×C4—42no—
525C3×C4—64no—
526C3×C4—122no—
527C3×C4—122no—
528C3×C4—122no—
529Dic3—24no—
530Dic3—42no—
531Dic3—42no—
532Dic3—42no—
533C32#235311yescharacteristic, complemented, Sylow
534C23—22no—
535C23—22no—
536C23—21no—
537C23—21no—
538C23—22no—
539C23—22no—
540C23C3×#23512yes—
541C23C3×#23512yes—
542C23C22×C3×Dic312yes—
543C23C22×C3×Dic312yes—
544C23C23×C3×D311yescharacteristic
545D4—28no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—34no—
553C2×C4—44no—
554C2×C4—44no—
555C2×C4—62no—
556C2×C4—62no—
557C2×C4—62no—
558C2×C4—62no—
559C2×C4—62no—
560C2×C4—62no—
561C2×C4—62no—
562C2×C4—62no—
563C2×C4—62no—
564C2×C4—62no—
565C2×C4—62no—
566C2×C4—128no—
567C2×C4C22×C3×Dic312yes—
568C2×C4C22×C3×Dic312yes—
569C2×C4C22×C3×Dic312yes—
570C2×C4C22×C3×Dic312yes—
571C2×C4C22×C3×Dic312yes—
572C2×C3—24no—
573C2×C3—24no—
574C2×C3—21no—
575C2×C3—22no—
576C2×C3—21no—
577C2×C3—22no—
578C2×C3—21no—
579C2×C3—44no—
580C2×C3—44no—
581C2×C3—42no—
582C2×C3—42no—
583C2×C3#554012yes—
584C2×C3#555612yes—
585C2×C3C2×#92611yescharacteristic
586C2×C3#579811yescharacteristic
587C2×C3Dic3×#4111yescharacteristic
588C2×C3C2×C3×#11711yescharacteristic
589C2×C3C3×C4×#4111yescharacteristic
590C2×C3C3×#51811yescharacteristic
591C2×C3C3×#55112yes—
592C2×C3C3×#55312yes—
593C22—24no—
594C22—22no—
595C22—24no—
596C22—22no—
597C22—22no—
598C22—22no—
599C22—22no—
600C22—42no—
601C22—42no—
602C22C3×#92614yes—
603C22C2×C3×#23511yescharacteristic
604C22C2×C3×#23511yescharacteristic
605C22C3×#100412yes—
606C22C3×D3×#4112yes—
607C22C23×C3×Dic311yescharacteristic
608C4—22no—
609C4—22no—
610C4—22no—
611C4—22no—
612C4—22no—
613C4—64no—
614C4—122no—
615C4—122no—
616C4—122no—
617C3—21no—
618C3#8233611yescharacteristic, direct product factor
619C3C3×#235311yescharacteristic, complemented
620C2—24no—
621C2—42no—
622C2C3×#554012yes—
623C2C3×#555612yes—
624C2C2×C3×#92611yescharacteristic
625C2C3×#579811yescharacteristic
626C2C3×Dic3×#4111yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC2×C32×C4×D4C2
socleC23×C32C24
prime radicalC22×C32×D4C22
cosocleC23×C3C24×C3
hypercenterC2×C3×C4×D4D3
hypocenterC3C3×#2353
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C2×C3×C4×D4

Complements

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

NH ≅ G/Ntype
3. C3×#5212C2semidirect
4. C3×#5211C2semidirect
5. C3×C4×#217C2semidirect
6. C2×C3×C3⋊#95C2semidirect
7. C3×#4980C2semidirect
8. C3×#4951C2semidirect
9. C3×Dic3×C22⋊C4C2semidirect
10. C3×#4937C2semidirect
11. C3×#4932C2semidirect
13. #82336C3direct (N × H)
18. C32×C4×D4C4semidirect
52. #5212C2×C3semidirect
53. #5211C2×C3semidirect
54. C4×#217C2×C3semidirect
55. C2×C3⋊#95C2×C3semidirect
56. #4980C2×C3semidirect
57. #4951C2×C3semidirect
58. Dic3×C22⋊C4C2×C3semidirect
59. #4937C2×C3semidirect
60. #4932C2×C3semidirect
69. C22×C32×C4C2×C4semidirect
82. C32×C4⋊C4C2×C4semidirect
84. C32×C22⋊C4C2×C4semidirect
85. C32×C42C2×C4semidirect
105. C3×C4×D4Dic3semidirect
106. C3×C4×D4C3×C4semidirect
234. C22×C3×C4C2×Dic3semidirect
236. C22×C3×C4C2×C3×C4semidirect
256. C3×C4⋊C4C2×Dic3semidirect
257. C3×C4⋊C4C2×C3×C4semidirect
264. C3×C22⋊C4C2×Dic3semidirect
266. C3×C22⋊C4C2×C3×C4semidirect
270. C3×C42C2×Dic3semidirect
271. C3×C42C2×C3×C4semidirect
306. C4×D4C3×Dic3semidirect
449. C22×C4C2×C3×Dic3semidirect
456. C4⋊C4C2×C3×Dic3semidirect
461. C22⋊C4C2×C3×Dic3semidirect
464. C42C2×C3×Dic3semidirect
533. C32#2353semidirect
618. C3#82336direct (N × H)
619. C3C3×#2353semidirect

Maximal subgroups

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

subgroupindex
C2×C32×C4×D42
C3×#52202
C3×#52122
C3×#52112
C3×C4×#2172
C2×C3×C3⋊#952
C3×#49802
C3×#49512
C3×Dic3×C22⋊C42
C3×#49372
C3×#49322
C3×#23533
#823363