Finite Group Databasebeta

← D3×#5234 #11857396

Subgroups — D3×#5234 #11857396

Order 1152.

1663 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×#41C211yesmaximal, characteristic
2C2×D3×#208C211yesmaximal, characteristic, complemented
3C22×D3×C3⋊C8C211yesmaximal, characteristic, complemented
4#10592933C211yesmaximal, characteristic, complemented
5C3×#5234C211yesmaximal, characteristic, complemented
6#10591145C214yesmaximal, complemented
7D3×#830C214yesmaximal, complemented
8#10591071C211yesmaximal, characteristic, complemented
9#10591070C211yesmaximal, characteristic, complemented
10C2×#5234—31nomaximal
11D3×#408—31nomaximal
12C2×C32×#41C2211yescharacteristic
13C3×D3×#41—24no—
14C3×D3×#41—24no—
15C2×C3×#239C411yescharacteristic
16C2×C3×D3×Q8C411yescharacteristic
17C2×C3×#237C412yes—
18C2×C3×#237C411yescharacteristic
19C2×C3×D3×D4C411yescharacteristic
20C2×C3×D3×D4C412yes—
21C2×C3×#235C2211yescharacteristic
22C2×C3×#235C2212yes—
23C22×C3×C4×D3C2212yes—
24C22×C3×C4×D3C2211yescharacteristic
25C2×#3748C2211yescharacteristic, complemented
26C22×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
27C2×C3×#208C2211yescharacteristic, complemented
28C22×C3×C3⋊C8C2211yescharacteristic, complemented
29C2×#3711C2212yescomplemented
30D3×#208—24no—
31C2×D3×C3⋊C8—24no—
32C2×D3×C3⋊C8C2212yes—
33C2×D3×C3⋊C8C2212yes—
34C2×D3×C3⋊C8C2212yescomplemented
35#63657C2214yescomplemented
36C3×#830C2214yescomplemented
37(C2×D3)⋊(C3⋊C8)C2214yescomplemented
38(C2×D3)⋊(C3⋊C8)C2214yescomplemented
39C22×C3×#41—31no—
40C2×D3×#41D311yescharacteristic
41C22×#208—31no—
42C23×C3⋊C8—31no—
43C2×D3×M16—31no—
44C22×D3×C8—31no—
45C3×#408—31no—
46#5234—31no—
47#5234—31no—
48#5234—31no—
49#5234—31no—
50#5234—34no—
51#5234—61no—
52#5234D311yescharacteristic, direct product factor
53C2×#830—34no—
54#5129—31no—
55#5110—31no—
56#4727—34no—
57D3×C22⋊C8—34no—
58C23×C3×D3C2×C412yes—
59C23×C3×D3C2×C411yescharacteristic
60C32×#41—22no—
61C32×#41—22no—
62C2×C32×Q8C2×C411yescharacteristic
63C2×C32×D4C2×C412yes—
64C2×C32×D4C2×C411yescharacteristic
65C22×C32×C4C2312yes—
66C22×C32×C4C2311yescharacteristic
67C2×C3×#67C2×C412yes—
68C2×C3×#67C2×C412yes—
69C2×C3×#67C2×C412yes—
70C22×C3×Dic3C2×C412yes—
71C22×C3×Dic3C2×C411yescharacteristic
72C3×#239—24no—
73C3×D3×Q8—24no—
74C3×#237—28no—
75C3×#237—24no—
76C3×D3×D4—28no—
77C3×D3×D4—24no—
78C3×#235—22no—
79C3×#235—22no—
80C3×#235—24no—
81C3×#235—24no—
82C2×C3×D12C2×C412yes—
83C2×C3×D12C2×C411yescharacteristic
84C2×C3×C4×D3—24no—
85C2×C3×C4×D3—24no—
86C2×C3×C4×D3C2×C412yes—
87C2×C3×C4×D3C2×C412yes—
88C2×C3×C4×D3C2×C411yescharacteristic
89C2×C3×C4×D3C2×C411yescharacteristic
90C2×C3×C4×D3D414yes—
91C2×C3×C4×D3D414yes—
92C2×C3×C4×D3C2312yes—
93C2×C3×C4×D3C2311yescharacteristic
94C2×C3×C4×D3C2311yescharacteristic
95C2×C3×Dic6C2×C411yescharacteristic
96C2×C3×Dic6C2×C412yes—
97#3748—22no—
98C2×C3⋊(C3⋊C8)—22no—
99C2×C3⋊(C3⋊C8)C2312yes—
100C2×C3⋊(C3⋊C8)C2312yes—
101C3×#208—22no—
102C2×C3×C3⋊C8—22no—
103C2×C3×C3⋊C8C2312yes—
104C2×C3×C3⋊C8C2312yes—
105#3711—24no—
106D3×C3⋊C8—24no—
107D3×C3⋊C8—24no—
108D3×C3⋊C8—24no—
109C2×#408—91noSylow
110C2×C3×#41—21no—
111C2×C3×#41—31no—
112C2×C3×#41—32no—
113C2×C3×#41—31no—
114C2×C3×#41—32no—
115C2×C3×#41—31no—
116C2×C3×#41—64no—
117C2×C3×#41—64no—
118C2×C3×#41C2×D311yescharacteristic
119C2×C3×#41C2×D311yescharacteristic
120C22×C3×Q8—31no—
121C22×C3×D4—31no—
122C22×C3×D4—32no—
123C23×C3×C4—31no—
124C23×C3×C4—32no—
125D3×#41—24no—
126D3×#41—24no—
127C2×#239Dic311yescharacteristic
128C2×D3×Q8Dic311yescharacteristic
129C2×#237Dic312yes—
130C2×#237Dic311yescharacteristic
131C2×D3×D4Dic312yes—
132C2×D3×D4Dic311yescharacteristic
133C2×#235C2×D311yescharacteristic
134C2×#235C2×D312yes—
135C22×C4×D3C2×D312yes—
136C22×C4×D3C2×D311yescharacteristic
137C2×C3×M16—31no—
138C22×C3×C8—31no—
139C2×#208—31no—
140C2×#208—31no—
141C2×#208—32no—
142C2×#208—61no—
143C2×#208—64no—
144C2×#208C2×D311yescharacteristic, complemented
145C22×C3⋊C8—31no—
146C22×C3⋊C8—31no—
147C22×C3⋊C8—32no—
148C22×C3⋊C8—32no—
149C22×C3⋊C8—32no—
150C22×C3⋊C8—61no—
151C22×C3⋊C8—64no—
152C22×C3⋊C8C2×D311yescharacteristic, complemented
153D3×M16—64no—
154C2×ΓL(1,𝔽25)—32no—
155C2×D3×C8—32no—
156C2×D3×C8—32no—
157C2×D3×C8—32no—
158C2×D3×C8—64no—
159C3×C22⋊C8—34no—
160#830—34no—
161#830—34no—
162#830—34no—
163#830—34no—
164#830—64no—
165#830C2×D314yescomplemented
166(C2×D3)⋊C8—34no—
167(C2×D3)⋊C8—34no—
168C23×C32C22×C412yes—
169C23×C32C22×C411yescharacteristic
170C22×C3×D3—24no—
171C22×C3×D3—24no—
172C22×C3×D3—28no—
173C22×C3×D3C22⋊C414yes—
174C22×C3×D3C22×C412yes—
175C22×C3×D3C22×C411yescharacteristic
176C22×C3×D3C22×C411yescharacteristic
177C32×Q8—22no—
178C32×D4—24no—
179C32×D4—22no—
180C2×C32×C4—22no—
181C2×C32×C4—22no—
182C2×C32×C4C22×C412yes—
183C2×C32×C4C22×C411yescharacteristic
184C2×C32×C4C2×D412yes—
185C2×C32×C4C2×D412yes—
186C2×C32×C4C2411yescharacteristic
187C3×#67—24no—
188C3×#67—24no—
189C3×#67—24no—
190C2×C3×Dic3—24no—
191C2×C3×Dic3C22⋊C414yes—
192C2×C3×Dic3C22×C412yes—
193C2×C3×Dic3C22×C411yescharacteristic
194C2×C3×Dic3C22×C411yescharacteristic
195C3×D12—24no—
196C3×D12—22no—
197C3×C4×D3—24no—
198C3×C4×D3—22no—
199C3×C4×D3—22no—
200C3×C4×D3—24no—
201C3×C4×D3C22⋊C414yes—
202C3×C4×D3C22⋊C414yes—
203C3×C4×D3C2×D412yes—
204C3×C4×D3C2×D412yes—
205C3×C4×D3C2×D412yes—
206C3×C4×D3C2×D412yes—
207C3×Dic6—22no—
208C3×Dic6—24no—
209C3⋊(C3⋊C8)—22no—
210C3⋊(C3⋊C8)—22no—
211C3×C3⋊C8—22no—
212C3×C3⋊C8—22no—
213C22×#41—31no—
214C22×M16—91no—
215C23×C8—91no—
216#408—31no—
217#408—94no—
218#408—91no—
219#408—91no—
220#408—91no—
221C2×C22⋊C8—94no—
222C24×C3—31no—
223C24×C3—32no—
224C23×D3C2×Dic312yes—
225C23×D3C2×Dic311yescharacteristic
226C3×#41—22no—
227C3×#41—22no—
228C3×#41—22no—
229C3×#41—22no—
230C3×#41—42no—
231C3×#41—42no—
232C3×#41—64no—
233C3×#41—64no—
234C3×#41—68no—
235C3×#41—64no—
236C3×#41—64no—
237C3×#41—62no—
238C3×#41—62no—
239C2×C3×Q8—21no—
240C2×C3×Q8—32no—
241C2×C3×Q8—31no—
242C2×C3×Q8—64no—
243C2×C3×Q8C4×D311yescharacteristic
244C2×C3×Q8C2×Dic311yescharacteristic
245C2×C3×D4—21no—
246C2×C3×D4—22no—
247C2×C3×D4—32no—
248C2×C3×D4—32no—
249C2×C3×D4—32no—
250C2×C3×D4—32no—
251C2×C3×D4—31no—
252C2×C3×D4—64no—
253C2×C3×D4—68no—
254C2×C3×D4C4×D312yes—
255C2×C3×D4C4×D311yescharacteristic
256C2×C3×D4C2×Dic312yes—
257C2×C3×D4C2×Dic311yescharacteristic
258C22×C3×C4—21no—
259C22×C3×C4—22no—
260C22×C3×C4—31no—
261C22×C3×C4—31no—
262C22×C3×C4—31no—
263C22×C3×C4—34no—
264C22×C3×C4—34no—
265C22×C3×C4—31no—
266C22×C3×C4—31no—
267C22×C3×C4—32no—
268C22×C3×C4—32no—
269C22×C3×C4—32no—
270C22×C3×C4—32no—
271C22×C3×C4—64no—
272C22×C3×C4—64no—
273C22×C3×C4C22×D312yes—
274C22×C3×C4C22×D312yes—
275C22×C3×C4C22×D311yescharacteristic
276C22×C3×C4C22×D311yescharacteristic
277C2×#67C2×Dic312yes—
278C2×#67C2×Dic312yes—
279C2×#67C2×Dic312yes—
280C22×Dic3C2×Dic312yes—
281C22×Dic3C2×Dic311yescharacteristic
282#239—24no—
283D3×Q8—24no—
284#237—28no—
285#237—24no—
286D3×D4—28no—
287D3×D4—24no—
288#235—22no—
289#235—22no—
290#235—24no—
291#235—24no—
292C2×D12C2×Dic312yes—
293C2×D12C2×Dic311yescharacteristic
294C2×C4×D3—24no—
295C2×C4×D3—24no—
296C2×C4×D3C2×Dic312yes—
297C2×C4×D3C2×Dic312yes—
298C2×C4×D3C2×Dic311yescharacteristic
299C2×C4×D3C2×Dic311yescharacteristic
300C2×C4×D3#6714yes—
301C2×C4×D3#6714yes—
302C2×C4×D3C22×D312yes—
303C2×C4×D3C22×D311yescharacteristic
304C2×C4×D3C22×D311yescharacteristic
305C2×Dic6C2×Dic311yescharacteristic
306C2×Dic6C2×Dic312yes—
307C3×M16—62no—
308C2×C3×C8—32no—
309C2×C3×C8—32no—
310C2×C3×C8—62no—
311#208—22no—
312#208—64no—
313#208—62no—
314#208—62no—
315#208—122no—
316C2×C3⋊C8—22no—
317C2×C3⋊C8—32no—
318C2×C3⋊C8—32no—
319C2×C3⋊C8—32no—
320C2×C3⋊C8—32no—
321C2×C3⋊C8—62no—
322C2×C3⋊C8—62no—
323C2×C3⋊C8—64no—
324C2×C3⋊C8—64no—
325C2×C3⋊C8—64no—
326C2×C3⋊C8—62no—
327C2×C3⋊C8—62no—
328C2×C3⋊C8—122no—
329C2×C3⋊C8C22×D312yes—
330C2×C3⋊C8C22×D312yes—
331ΓL(1,𝔽25)—64no—
332D3×C8—64no—
333D3×C8—64no—
334D3×C8—64no—
335C22×C32—22no—
336C22×C32—22no—
337C22×C32—24no—
338C22×C32C2×C22⋊C412yes—
339C22×C32C23×C411yescharacteristic
340C2×C3×D3—22no—
341C2×C3×D3—28no—
342C2×C3×D3—22no—
343C2×C3×D3—24no—
344C2×C3×D3—48no—
345C2×C3×D3C2×C22⋊C412yes—
346C2×C3×D3C2×C22⋊C412yes—
347C2×C3×D3#13114yes—
348C32×C4—22no—
349C32×C4C2×C22⋊C412yes—
350C32×C4C22×D411yescharacteristic
351C32×C4C22×D411yescharacteristic
352C3×Dic3—22no—
353C3×Dic3C2×C22⋊C412yes—
354C3×Dic3C2×C22⋊C412yes—
355C2×#41—31no—
356C2×#41—32no—
357C2×#41—31no—
358C2×#41—32no—
359C2×#41—31no—
360C2×#41—64no—
361C2×#41—64no—
362C2×#41D3211yescharacteristic
363C22×Q8—31no—
364C22×D4—31no—
365C22×D4—32no—
366C23×C4—31no—
367C23×C4—32no—
368C2×M16—31no—
369C2×M16—92no—
370C2×M16—91no—
371C2×M16—184no—
372C22×C8—31no—
373C22×C8—92no—
374C22×C8—92no—
375C22×C8—92no—
376C22×C8—91no—
377C22×C8—184no—
378C22⋊C8—34no—
379C22⋊C8—94no—
380C22⋊C8—94no—
381C22⋊C8—94no—
382C23×C3—21no—
383C23×C3—22no—
384C23×C3—31no—
385C23×C3—34no—
386C23×C3—31no—
387C23×C3—32no—
388C23×C3—64no—
389C23×C3—64no—
390C23×C3—68no—
391C23×C3C2×C4×D312yes—
392C23×C3C2×C4×D311yescharacteristic
393C23×C3C22×Dic312yes—
394C23×C3C22×Dic311yescharacteristic
395C22×D3—24no—
396C22×D3—28no—
397C22×D3—24no—
398C22×D3#21714yes—
399C22×D3C22×Dic312yes—
400C22×D3C22×Dic311yescharacteristic
401C22×D3C22×Dic311yescharacteristic
402C3×Q8—22no—
403C3×Q8—22no—
404C3×Q8—42no—
405C3×Q8—64no—
406C3×Q8—62no—
407C3×D4—24no—
408C3×D4—24no—
409C3×D4—22no—
410C3×D4—22no—
411C3×D4—42no—
412C3×D4—44no—
413C3×D4—64no—
414C3×D4—64no—
415C3×D4—64no—
416C3×D4—64no—
417C3×D4—62no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—22no—
425C2×C3×C4—22no—
426C2×C3×C4—22no—
427C2×C3×C4—34no—
428C2×C3×C4—31no—
429C2×C3×C4—31no—
430C2×C3×C4—34no—
431C2×C3×C4—34no—
432C2×C3×C4—32no—
433C2×C3×C4—32no—
434C2×C3×C4—32no—
435C2×C3×C4—32no—
436C2×C3×C4—32no—
437C2×C3×C4—42no—
438C2×C3×C4—42no—
439C2×C3×C4—64no—
440C2×C3×C4—64no—
441C2×C3×C4—64no—
442C2×C3×C4—62no—
443C2×C3×C4—62no—
444C2×C3×C4C2×C4×D312yes—
445C2×C3×C4C2×C4×D311yescharacteristic
446C2×C3×C4D3×D412yes—
447C2×C3×C4D3×D412yes—
448C2×C3×C4C22×Dic312yes—
449C2×C3×C4C22×Dic311yescharacteristic
450C2×C3×C4C2×#6712yes—
451C2×C3×C4C2×#6712yes—
452C2×C3×C4C23×D311yescharacteristic
453C2×C3×C4C23×D311yescharacteristic
454#67—24no—
455#67—24no—
456#67—24no—
457C2×Dic3—24no—
458C2×Dic3#21714yes—
459C2×Dic3C22×Dic312yes—
460C2×Dic3C22×Dic311yescharacteristic
461C2×Dic3C22×Dic311yescharacteristic
462D12—24no—
463D12—22no—
464C4×D3—24no—
465C4×D3—22no—
466C4×D3—22no—
467C4×D3—24no—
468C4×D3#21714yes—
469C4×D3#21714yes—
470C4×D3C2×#6712yes—
471C4×D3C2×#6712yes—
472C4×D3C2×#6712yes—
473C4×D3C2×#6712yes—
474Dic6—22no—
475Dic6—24no—
476C3×C8—62no—
477C3×C8—62no—
478C3⋊C8—22no—
479C3⋊C8—22no—
480C3⋊C8—62no—
481C3⋊C8—62no—
482C3⋊C8—62no—
483C3⋊C8—62no—
484C3⋊C8—122no—
485C3⋊C8—122no—
486C2×C32—22no—
487C2×C32—42no—
488C2×C32C22×C22⋊C411yescharacteristic
489C2×C32C2×#13112yes—
490C3×D3—22no—
491C3×D3—42no—
492C3×D3#40814yescomplemented
493C24—31no—
494C24—32no—
495#41—22no—
496#41—22no—
497#41—64no—
498#41—64no—
499#41—68no—
500#41—64no—
501#41—64no—
502#41—62no—
503#41—62no—
504C2×Q8—32no—
505C2×Q8—31no—
506C2×Q8—64no—
507C2×Q8D3×Dic311yescharacteristic
508C2×D4—32no—
509C2×D4—32no—
510C2×D4—32no—
511C2×D4—32no—
512C2×D4—31no—
513C2×D4—64no—
514C2×D4—68no—
515C2×D4D3×Dic312yes—
516C2×D4D3×Dic311yescharacteristic
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—31no—
521C22×C4—31no—
522C22×C4—34no—
523C22×C4—34no—
524C22×C4—32no—
525C22×C4—32no—
526C22×C4—32no—
527C22×C4—32no—
528C22×C4—64no—
529C22×C4—64no—
530C22×C4C2×D3212yes—
531C22×C4C2×D3211yescharacteristic
532M16—62no—
533M16—184no—
534M16—182no—
535C2×C8—32no—
536C2×C8—32no—
537C2×C8—62no—
538C2×C8—92no—
539C2×C8—92no—
540C2×C8—184no—
541C2×C8—184no—
542C2×C8—184no—
543C2×C8—182no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—22no—
547C22×C3—24no—
548C22×C3—24no—
549C22×C3—22no—
550C22×C3—21no—
551C22×C3—22no—
552C22×C3—32no—
553C22×C3—34no—
554C22×C3—32no—
555C22×C3—42no—
556C22×C3—42no—
557C22×C3—44no—
558C22×C3—68no—
559C22×C3—62no—
560C22×C3—62no—
561C22×C3—64no—
562C22×C3—128no—
563C22×C3D3×C22⋊C412yes—
564C22×C3C2×#21712yes—
565C22×C3C22×C4×D311yescharacteristic
566C22×C3C23×Dic311yescharacteristic
567C2×D3—22no—
568C2×D3—28no—
569C2×D3—24no—
570C2×D3—22no—
571C2×D3—48no—
572C2×D3#94814yes—
573C2×D3C2×#21712yes—
574C2×D3C2×#21712yes—
575C3×C4—22no—
576C3×C4—22no—
577C3×C4—21no—
578C3×C4—21no—
579C3×C4—22no—
580C3×C4—32no—
581C3×C4—32no—
582C3×C4—42no—
583C3×C4—62no—
584C3×C4D3×C22⋊C412yes—
585C3×C4C2×#21712yes—
586C3×C4C2×D3×D411yescharacteristic
587C3×C4C2×D3×D411yescharacteristic
588C3×C4C22×#6711yescharacteristic
589C3×C4C22×#6711yescharacteristic
590Dic3—22no—
591Dic3C2×#21712yes—
592Dic3C2×#21712yes—
593C32C2×#40811yescharacteristic, complemented, Sylow
594C23—31no—
595C23—31no—
596C23—34no—
597C23—32no—
598C23—64no—
599C23—64no—
600C23—68no—
601C23C2×D3×Dic312yes—
602C23C2×D3×Dic311yescharacteristic
603Q8—22no—
604Q8—64no—
605Q8—62no—
606D4—24no—
607D4—22no—
608D4—64no—
609D4—64no—
610D4—64no—
611D4—64no—
612D4—62no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—31no—
616C2×C4—31no—
617C2×C4—34no—
618C2×C4—32no—
619C2×C4—32no—
620C2×C4—32no—
621C2×C4—32no—
622C2×C4—34no—
623C2×C4—34no—
624C2×C4—32no—
625C2×C4—64no—
626C2×C4—64no—
627C2×C4—64no—
628C2×C4—62no—
629C2×C4—62no—
630C2×C4C2×D3×Dic312yes—
631C2×C4C2×D3×Dic311yescharacteristic
632C2×C4D3×#6712yes—
633C2×C4D3×#6712yes—
634C2×C4C22×D3211yescharacteristic
635C8—62no—
636C8—62no—
637C8—182no—
638C8—182no—
639C2×C3—22no—
640C2×C3—22no—
641C2×C3—22no—
642C2×C3—21no—
643C2×C3—34no—
644C2×C3—42no—
645C2×C3—42no—
646C2×C3—42no—
647C2×C3—62no—
648C2×C3—82no—
649C2×C3—122no—
650C2×C3C2×D3×C22⋊C411yescharacteristic
651C2×C3D3×#13112yes—
652C2×C3C2×#94812yes—
653C2×C3C22×#21711yescharacteristic
654D3—22no—
655D3—42no—
656D3#523414yesdirect product factor
657C22—22no—
658C22—24no—
659C22—22no—
660C22—34no—
661C22—32no—
662C22—32no—
663C22—68no—
664C22—62no—
665C22—64no—
666C22—62no—
667C22—128no—
668C22D3×#21712yes—
669C22C22×D3×Dic311yescharacteristic
670C4—22no—
671C4—32no—
672C4—32no—
673C4—62no—
674C4D3×#21712yes—
675C4C2×D3×#6711yescharacteristic
676C4C2×D3×#6711yescharacteristic
677C3—21no—
678C3D3×#40811yescharacteristic, complemented
679C3C2×#523411yescharacteristic, complemented
680C2—22no—
681C2—34no—
682C2—42no—
683C2—62no—
684C2—122no—
685C2D3×#94812yes—
686C2C2×D3×#21711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D32
commutator, socleC22×C32C23×C4
FittingC2×C32×#41C22
prime radicalC2×C3×D3×#41C2
cosocleC2×C32×C4C24
hypercenterC2×#41D32
hypocenterC32C2×#408
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
2. C2×D3×#208C2semidirect
3. C22×D3×C3⋊C8C2semidirect
4. #10592933C2semidirect
5. C3×#5234C2semidirect
6. #10591145C2semidirect
7. D3×#830C2semidirect
8. #10591071C2semidirect
9. #10591070C2semidirect
25. C2×#3748C22semidirect
26. C22×C3⋊(C3⋊C8)C22semidirect
27. C2×C3×#208C22semidirect
28. C22×C3×C3⋊C8C22semidirect
29. C2×#3711C22semidirect
34. C2×D3×C3⋊C8C22semidirect
35. #63657C22semidirect
36. C3×#830C22semidirect
37. (C2×D3)⋊(C3⋊C8)C22semidirect
38. (C2×D3)⋊(C3⋊C8)C22semidirect
52. #5234D3direct (N × H)
144. C2×#208C2×D3semidirect
152. C22×C3⋊C8C2×D3semidirect
165. #830C2×D3semidirect
492. C3×D3#408semidirect
593. C32C2×#408semidirect
656. D3#5234direct (N × H)
678. C3D3×#408semidirect
679. C3C2×#5234semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×#412
C2×D3×#2082
C22×D3×C3⋊C82
#105929332
C3×#52342
#105911452
D3×#8302
#105910712
#105910702
C2×#52343
D3×#4083