Finite Group Databasebeta

← C3×D3×#467 #11866769

Subgroups — C3×D3×#467 #11866769

Order 1152.

1081 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×Q16C211yesmaximal, characteristic, complemented
2C22×C3×D3×C8C211yesmaximal, characteristic
3C3×D3×C22⋊Q8C212yesmaximal
4C32×#467C211yesmaximal, characteristic, complemented
5C3×#5188C211yesmaximal, characteristic, complemented
6C3×#5116C211yesmaximal, characteristic, complemented
7C3×#5051C212yesmaximal, complemented
8C3×#4887C211yesmaximal, characteristic, complemented
9C3×D3×#107C211yesmaximal, characteristic, complemented
10C3×#4813C212yesmaximal, complemented
11C3×D3×#103C212yesmaximal, complemented
12C2×C3×#467—31nomaximal
13D3×#467C311yesmaximal, characteristic, direct product factor
14C2×C3×D3×Q8C2212yes—
15C22×C3×C4×D3C2211yescharacteristic
16C2×C32×Q16C2211yescharacteristic, complemented
17C22×C32×C8C2211yescharacteristic
18C32×C22⋊Q8C2212yes—
19C3×#946C2212yes—
20C2×C3×#216C2212yescomplemented
21C3×#924C2212yes—
22C22×C3×C3⋊C8C2211yescharacteristic
23C3×D3×Q16—24no—
24C2×C3×Dic12C2211yescharacteristic, complemented
25C2×C3×D3×C8—24no—
26C2×C3×D3×C8C2211yescharacteristic
27C2×C3×D3×C8C2211yescharacteristic
28C2×C3×D3×C8C2211yescharacteristic
29C2×C3×D3×C8C2211yescharacteristic
30C3×#897C2212yes—
31C3×#896—22no—
32C3×D3×C4⋊C4—22no—
33C3×D3×C4⋊C4C2212yes—
34C3×D3×C22⋊C4—22no—
35C3×#878—22no—
36C32×#107C2211yescharacteristic, complemented
37C32×#103C2212yescomplemented
38C3×#835C2212yescomplemented
39C3×#818C2211yescharacteristic, complemented
40C3×#816C2212yescomplemented
41C3×#810C2212yescomplemented
42C3×#807C2212yescomplemented
43C22×C3×Q16—31no—
44C23×C3×C8—31no—
45C2×C3×C22⋊Q8—32no—
46C2×D3×Q16C2×C311yescharacteristic, complemented
47C22×D3×C8C2×C311yescharacteristic
48D3×C22⋊Q8C2×C312yes—
49C3×#467—21no—
50C3×#467—31no—
51C3×#467—31no—
52C3×#467—32no—
53C3×#467—31no—
54C3×#467—32no—
55C3×#467D311yescharacteristic, direct product factor
56C3×#467C2×C311yescharacteristic, complemented
57C2×C3×#107—31no—
58C2×C3×#103—32no—
59#5188C2×C311yescharacteristic, complemented
60#5116C2×C311yescharacteristic, complemented
61#5051C2×C312yescomplemented
62#4887C2×C311yescharacteristic, complemented
63D3×#107C2×C311yescharacteristic, complemented
64#4813C2×C312yescomplemented
65D3×#103C2×C312yescomplemented
66C23×C3×D3D411yescharacteristic
67C2×C32×Q8C2312yes—
68C22×C32×C4C2311yescharacteristic
69C22×C3×Dic3D411yescharacteristic
70C3×D3×Q8—24no—
71C3×D3×Q8—24no—
72C2×C3×C4×D3—22no—
73C2×C3×C4×D3—22no—
74C2×C3×C4×D3—22no—
75C2×C3×C4×D3—22no—
76C2×C3×C4×D3D411yescharacteristic
77C2×C3×C4×D3D411yescharacteristic
78C2×C3×C4×D3C2311yescharacteristic
79C2×C3×C4×D3C2311yescharacteristic
80C2×C3×Dic6—22no—
81C2×C3×Dic6C2312yes—
82C32×Q16—22no—
83C2×C32×C8—22no—
84C2×C32×C8C2311yescharacteristic
85C2×C32×C8C2311yescharacteristic
86C32×C4⋊C4—22no—
87C32×C4⋊C4C2312yes—
88C32×C22⋊C4—22no—
89C3×#217—22no—
90C3×#216—24no—
91C3×(C2×D3)⋊C4—22no—
92C3×(C2×D3)⋊C4—22no—
93C3×C4⋊Dic3—22no—
94C3×C4⋊Dic3C2312yes—
95C3×Dic3⋊C4—22no—
96C3×Dic3⋊C4—22no—
97C3×Dic3⋊C4—22no—
98C2×C3×C3⋊C8—22no—
99C2×C3×C3⋊C8C2311yescharacteristic
100C2×C3×C3⋊C8C2311yescharacteristic
101C3×Dic12—22no—
102C3×D3×C8—22no—
103C3×D3×C8—22no—
104C3×D3×C8—22no—
105C3×D3×C8D414yes—
106C2×#467—31noSylow
107C22×C3×Q8—32no—
108C23×C3×C4—31no—
109C2×D3×Q8C22×C312yes—
110C22×C4×D3C22×C311yescharacteristic
111C2×C3×Q16—21no—
112C2×C3×Q16—32no—
113C2×C3×Q16—31no—
114C2×C3×Q16—64no—
115C2×C3×Q16C2×D311yescharacteristic, complemented
116C2×C3×Q16C22×C311yescharacteristic, complemented
117C22×C3×C8—21no—
118C22×C3×C8—31no—
119C22×C3×C8—31no—
120C22×C3×C8—31no—
121C22×C3×C8—31no—
122C22×C3×C8—31no—
123C22×C3×C8—64no—
124C22×C3×C8C2×D311yescharacteristic
125C22×C3×C8C22×C311yescharacteristic
126C3×C22⋊Q8—22no—
127C3×C22⋊Q8—32no—
128C3×C22⋊Q8—32no—
129C3×C22⋊Q8—32no—
130C3×C22⋊Q8—62no—
131C3×C22⋊Q8—62no—
132C3×C22⋊Q8C2×D312yes—
133C3×C22⋊Q8C22×C312yes—
134C2×C3×C4⋊C4—32no—
135C2×C3×C4⋊C4—62no—
136C2×C3×C22⋊C4—62no—
137#946C22×C312yes—
138C2×#216C22×C312yescomplemented
139#924C22×C312yes—
140C22×C3⋊C8C22×C311yescharacteristic
141D3×Q16—24no—
142C2×Dic12C22×C311yescharacteristic, complemented
143C2×D3×C8—24no—
144C2×D3×C8C22×C311yescharacteristic
145C2×D3×C8C22×C311yescharacteristic
146C2×D3×C8C22×C311yescharacteristic
147C2×D3×C8C22×C311yescharacteristic
148#897C22×C312yes—
149#896—22no—
150D3×C4⋊C4—22no—
151D3×C4⋊C4C22×C312yes—
152D3×C22⋊C4—22no—
153#878—22no—
154C3×#107—21no—
155C3×#107—31no—
156C3×#107—32no—
157C3×#107C2×D311yescharacteristic, complemented
158C3×#107C22×C311yescharacteristic, complemented
159C3×#103—22no—
160C3×#103—32no—
161C3×#103—32no—
162C3×#103—32no—
163C3×#103C2×D312yescomplemented
164C3×#103C22×C312yescomplemented
165#835C22×C312yescomplemented
166#818C22×C311yescharacteristic, complemented
167#816C22×C312yescomplemented
168#810C22×C312yescomplemented
169#807C22×C312yescomplemented
170C23×C32C2×D411yescharacteristic
171C22×C3×D3—22no—
172C22×C3×D3—22no—
173C22×C3×D3Q1614yescomplemented
174C22×C3×D3C2×D411yescharacteristic
175C22×C3×D3C2×D411yescharacteristic
176C32×Q8—22no—
177C32×Q8—22no—
178C2×C32×C4—21no—
179C2×C32×C4—21no—
180C2×C32×C4—22no—
181C2×C32×C4—22no—
182C2×C32×C4C2×D411yescharacteristic
183C2×C32×C4C2411yescharacteristic
184C2×C3×Dic3—22no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3C2×D411yescharacteristic
188C2×C3×Dic3C2×D411yescharacteristic
189C3×C4×D3—22no—
190C3×C4×D3—21no—
191C3×C4×D3—21no—
192C3×C4×D3—22no—
193C3×C4×D3—44no—
194C3×C4×D3—44no—
195C3×C4×D3C2×D412yes—
196C3×C4×D3#4112yes—
197C3×Dic6—22no—
198C3×Dic6—22no—
199C3×Dic6—44no—
200C32×C8—21no—
201C32×C8C2×D412yes—
202C3×C3⋊C8—21no—
203C3×C3⋊C8C2×D412yes—
204C22×Q16—31no—
205C23×C8—31no—
206C2×C22⋊Q8—32no—
207#467—31no—
208#467—31no—
209#467—32no—
210#467—31no—
211#467—32no—
212#467C3×D311yescharacteristic, direct product factor
213C2×#107—31no—
214C2×#103—32no—
215C24×C3—31no—
216C23×D3C3×D411yescharacteristic
217C2×C3×Q8—22no—
218C2×C3×Q8—32no—
219C2×C3×Q8—62no—
220C2×C3×Q8—64no—
221C2×C3×Q8—64no—
222C2×C3×Q8C22×D312yes—
223C2×C3×Q8C23×C312yes—
224C22×C3×C4—21no—
225C22×C3×C4—31no—
226C22×C3×C4—31no—
227C22×C3×C4—31no—
228C22×C3×C4—31no—
229C22×C3×C4—31no—
230C22×C3×C4—62no—
231C22×C3×C4—62no—
232C22×C3×C4—62no—
233C22×C3×C4—62no—
234C22×C3×C4C22×D311yescharacteristic
235C22×C3×C4C23×C311yescharacteristic
236C22×Dic3C3×D411yescharacteristic
237D3×Q8—24no—
238D3×Q8—24no—
239C2×C4×D3—22no—
240C2×C4×D3—22no—
241C2×C4×D3—22no—
242C2×C4×D3—22no—
243C2×C4×D3C3×D411yescharacteristic
244C2×C4×D3C3×D411yescharacteristic
245C2×C4×D3C23×C311yescharacteristic
246C2×C4×D3C23×C311yescharacteristic
247C2×Dic6—22no—
248C2×Dic6C23×C312yes—
249C3×Q16—22no—
250C3×Q16—22no—
251C3×Q16—42no—
252C3×Q16—64no—
253C3×Q16—62no—
254C2×C3×C8—22no—
255C2×C3×C8—22no—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C2×C3×C8—31no—
259C2×C3×C8—34no—
260C2×C3×C8—31no—
261C2×C3×C8—42no—
262C2×C3×C8—62no—
263C2×C3×C8—62no—
264C2×C3×C8—62no—
265C2×C3×C8—62no—
266C2×C3×C8C22×D311yescharacteristic
267C2×C3×C8C22×D311yescharacteristic
268C2×C3×C8C23×C311yescharacteristic
269C2×C3×C8C23×C311yescharacteristic
270C3×C4⋊C4—22no—
271C3×C4⋊C4—22no—
272C3×C4⋊C4—22no—
273C3×C4⋊C4—32no—
274C3×C4⋊C4—42no—
275C3×C4⋊C4—62no—
276C3×C4⋊C4—62no—
277C3×C4⋊C4—62no—
278C3×C4⋊C4—62no—
279C3×C4⋊C4C22×D312yes—
280C3×C4⋊C4C23×C312yes—
281C3×C22⋊C4—22no—
282C3×C22⋊C4—22no—
283C3×C22⋊C4—42no—
284C3×C22⋊C4—62no—
285C3×C22⋊C4—62no—
286C3×C22⋊C4—62no—
287#217—22no—
288#216—24no—
289(C2×D3)⋊C4—22no—
290(C2×D3)⋊C4—22no—
291C4⋊Dic3—22no—
292C4⋊Dic3C23×C312yes—
293Dic3⋊C4—22no—
294Dic3⋊C4—22no—
295Dic3⋊C4—22no—
296C2×C3⋊C8—22no—
297C2×C3⋊C8C23×C311yescharacteristic
298C2×C3⋊C8C23×C311yescharacteristic
299Dic12—22no—
300D3×C8—22no—
301D3×C8—22no—
302D3×C8—22no—
303D3×C8C3×D414yes—
304C22×C32—21no—
305C22×C32—21no—
306C22×C32C2×Q1612yescomplemented
307C22×C32C22×D411yescharacteristic
308C2×C3×D3—21no—
309C2×C3×D3—21no—
310C2×C3×D3—28no—
311C2×C3×D3#12112yes—
312C2×C3×D3C2×Q1612yes—
313C2×C3×D3C2×Q1612yescomplemented
314C2×C3×D3#13512yes—
315C32×C4—21no—
316C32×C4—42no—
317C32×C4—42no—
318C32×C4C22×D411yescharacteristic
319C32×C4C2×#4111yescharacteristic
320C3×Dic3—21no—
321C3×Dic3—42no—
322C3×Dic3—42no—
323C3×Dic3#12112yes—
324C22×Q8—32no—
325C23×C4—31no—
326C2×Q16—32no—
327C2×Q16—31no—
328C2×Q16—64no—
329C2×Q16C2×C3×D311yescharacteristic, complemented
330C22×C8—31no—
331C22×C8—31no—
332C22×C8—31no—
333C22×C8—31no—
334C22×C8—31no—
335C22×C8—64no—
336C22×C8C2×C3×D311yescharacteristic
337C22⋊Q8—32no—
338C22⋊Q8—32no—
339C22⋊Q8—32no—
340C22⋊Q8—62no—
341C22⋊Q8—62no—
342C22⋊Q8C2×C3×D312yes—
343C2×C4⋊C4—32no—
344C2×C4⋊C4—62no—
345C2×C22⋊C4—62no—
346#107—31no—
347#107—32no—
348#107C2×C3×D311yescharacteristic, complemented
349#103—32no—
350#103—32no—
351#103—32no—
352#103C2×C3×D312yescomplemented
353C23×C3—21no—
354C23×C3—31no—
355C23×C3—34no—
356C23×C3—31no—
357C23×C3—62no—
358C23×C3—62no—
359C23×C3D3×D411yescharacteristic
360C23×C3C2×C3×D411yescharacteristic
361C22×D3—22no—
362C22×D3—22no—
363C22×D3C3×Q1614yescomplemented
364C22×D3C2×C3×D411yescharacteristic
365C22×D3C2×C3×D411yescharacteristic
366C3×Q8—22no—
367C3×Q8—22no—
368C3×Q8—22no—
369C3×Q8—22no—
370C3×Q8—42no—
371C3×Q8—42no—
372C3×Q8—62no—
373C3×Q8—62no—
374C3×Q8—124no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—31no—
386C2×C3×C4—32no—
387C2×C3×C4—32no—
388C2×C3×C4—31no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—62no—
394C2×C3×C4—62no—
395C2×C3×C4—62no—
396C2×C3×C4—61no—
397C2×C3×C4—61no—
398C2×C3×C4—62no—
399C2×C3×C4—62no—
400C2×C3×C4—124no—
401C2×C3×C4—124no—
402C2×C3×C4D3×D411yescharacteristic
403C2×C3×C4C2×C3×D411yescharacteristic
404C2×C3×C4C23×D311yescharacteristic
405C2×C3×C4C24×C311yescharacteristic
406C2×Dic3—22no—
407C2×Dic3—22no—
408C2×Dic3—22no—
409C2×Dic3C2×C3×D411yescharacteristic
410C2×Dic3C2×C3×D411yescharacteristic
411C4×D3—22no—
412C4×D3—21no—
413C4×D3—21no—
414C4×D3—22no—
415C4×D3—44no—
416C4×D3—44no—
417C4×D3C2×C3×D412yes—
418C4×D3C3×#4112yes—
419Dic6—22no—
420Dic6—22no—
421Dic6—44no—
422C3×C8—21no—
423C3×C8—21no—
424C3×C8—22no—
425C3×C8—32no—
426C3×C8—41no—
427C3×C8—61no—
428C3×C8D3×D412yes—
429C3×C8C2×C3×D412yes—
430C3⋊C8—21no—
431C3⋊C8C2×C3×D412yes—
432C2×C32—22no—
433C2×C32C2×#12111yescharacteristic
434C2×C32C22×Q1611yescharacteristic
435C2×C32C2×#13511yescharacteristic
436C3×D3—22no—
437C3×D3#46714yesdirect product factor
438C24—31no—
439C2×Q8—32no—
440C2×Q8—62no—
441C2×Q8—64no—
442C2×Q8—64no—
443C2×Q8C22×C3×D312yes—
444C22×C4—31no—
445C22×C4—31no—
446C22×C4—31no—
447C22×C4—31no—
448C22×C4—31no—
449C22×C4—62no—
450C22×C4—62no—
451C22×C4—62no—
452C22×C4—62no—
453C22×C4C22×C3×D311yescharacteristic
454Q16—22no—
455Q16—64no—
456Q16—62no—
457C2×C8—22no—
458C2×C8—31no—
459C2×C8—34no—
460C2×C8—31no—
461C2×C8—62no—
462C2×C8—62no—
463C2×C8—62no—
464C2×C8—62no—
465C2×C8C22×C3×D311yescharacteristic
466C2×C8C22×C3×D311yescharacteristic
467C4⋊C4—22no—
468C4⋊C4—32no—
469C4⋊C4—62no—
470C4⋊C4—62no—
471C4⋊C4—62no—
472C4⋊C4—62no—
473C4⋊C4C22×C3×D312yes—
474C22⋊C4—22no—
475C22⋊C4—62no—
476C22⋊C4—62no—
477C22⋊C4—62no—
478C22×C3—21no—
479C22×C3—21no—
480C22×C3—21no—
481C22×C3—21no—
482C22×C3—22no—
483C22×C3—21no—
484C22×C3—32no—
485C22×C3—32no—
486C22×C3—32no—
487C22×C3—32no—
488C22×C3—41no—
489C22×C3—41no—
490C22×C3—68no—
491C22×C3—61no—
492C22×C3—61no—
493C22×C3D3×Q1612yescomplemented
494C22×C3C2×C3×Q1612yescomplemented
495C22×C3C2×D3×D411yescharacteristic
496C22×C3C22×C3×D411yescharacteristic
497C2×D3—21no—
498C2×D3—21no—
499C2×D3—28no—
500C2×D3C3×#12112yes—
501C2×D3C2×C3×Q1612yes—
502C2×D3C2×C3×Q1612yescomplemented
503C2×D3C3×#13512yes—
504C3×C4—21no—
505C3×C4—21no—
506C3×C4—21no—
507C3×C4—21no—
508C3×C4—32no—
509C3×C4—41no—
510C3×C4—42no—
511C3×C4—42no—
512C3×C4—42no—
513C3×C4—42no—
514C3×C4—61no—
515C3×C4—82no—
516C3×C4—82no—
517C3×C4—122no—
518C3×C4—122no—
519C3×C4C2×D3×D411yescharacteristic
520C3×C4D3×#4111yescharacteristic
521C3×C4C22×C3×D411yescharacteristic
522C3×C4C2×C3×#4111yescharacteristic
523Dic3—21no—
524Dic3—42no—
525Dic3—42no—
526Dic3C3×#12112yes—
527C32C2×#46711yescharacteristic, complemented, Sylow
528C23—31no—
529C23—34no—
530C23—31no—
531C23—62no—
532C23—62no—
533C23C3×D3×D411yescharacteristic
534Q8—22no—
535Q8—22no—
536Q8—62no—
537Q8—62no—
538Q8—124no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—31no—
544C2×C4—32no—
545C2×C4—32no—
546C2×C4—31no—
547C2×C4—62no—
548C2×C4—62no—
549C2×C4—62no—
550C2×C4—61no—
551C2×C4—61no—
552C2×C4—62no—
553C2×C4—62no—
554C2×C4—124no—
555C2×C4—124no—
556C2×C4C3×D3×D411yescharacteristic
557C2×C4C23×C3×D311yescharacteristic
558C8—21no—
559C8—32no—
560C8—61no—
561C8C3×D3×D412yes—
562C2×C3—22no—
563C2×C3—22no—
564C2×C3—21no—
565C2×C3—21no—
566C2×C3—21no—
567C2×C3—34no—
568C2×C3—42no—
569C2×C3—62no—
570C2×C3D3×#12111yescharacteristic
571C2×C3C2×D3×Q1611yescharacteristic
572C2×C3D3×#13511yescharacteristic
573C2×C3C2×C3×#12111yescharacteristic
574C2×C3C22×C3×Q1611yescharacteristic
575C2×C3C2×C3×#13511yescharacteristic
576D3—22no—
577D3C3×#46714yesdirect product factor
578C22—21no—
579C22—21no—
580C22—32no—
581C22—32no—
582C22—32no—
583C22—32no—
584C22—68no—
585C22—61no—
586C22—61no—
587C22C3×D3×Q1612yescomplemented
588C22C2×C3×D3×D411yescharacteristic
589C4—21no—
590C4—32no—
591C4—42no—
592C4—42no—
593C4—61no—
594C4—122no—
595C4—122no—
596C4C2×C3×D3×D411yescharacteristic
597C4C3×D3×#4111yescharacteristic
598C3—21no—
599C3D3×#46711yescharacteristic, direct product factor
600C3C2×C3×#46711yescharacteristic, complemented
601C2—22no—
602C2—34no—
603C2—62no—
604C2C3×D3×#12111yescharacteristic
605C2C2×C3×D3×Q1611yescharacteristic
606C2C3×D3×#13511yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#467C2
socleC22×C32C22×D4
prime radicalC23×C3×D3D4
hypercenterC3×#467D3
hypocenterC3C2×C3×#467
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C3×#467

Complements

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

NH ≅ G/Ntype
1. C2×C3×D3×Q16C2semidirect
4. C32×#467C2semidirect
5. C3×#5188C2semidirect
6. C3×#5116C2semidirect
7. C3×#5051C2semidirect
8. C3×#4887C2semidirect
9. C3×D3×#107C2semidirect
10. C3×#4813C2semidirect
11. C3×D3×#103C2semidirect
13. D3×#467C3direct (N × H)
16. C2×C32×Q16C22semidirect
20. C2×C3×#216C22semidirect
24. C2×C3×Dic12C22semidirect
36. C32×#107C22semidirect
37. C32×#103C22semidirect
38. C3×#835C22semidirect
39. C3×#818C22semidirect
40. C3×#816C22semidirect
41. C3×#810C22semidirect
42. C3×#807C22semidirect
46. C2×D3×Q16C2×C3semidirect
55. C3×#467D3direct (N × H)
56. C3×#467C2×C3semidirect
59. #5188C2×C3semidirect
60. #5116C2×C3semidirect
61. #5051C2×C3semidirect
62. #4887C2×C3semidirect
63. D3×#107C2×C3semidirect
64. #4813C2×C3semidirect
65. D3×#103C2×C3semidirect
115. C2×C3×Q16C2×D3semidirect
116. C2×C3×Q16C22×C3semidirect
138. C2×#216C22×C3semidirect
142. C2×Dic12C22×C3semidirect
157. C3×#107C2×D3semidirect
158. C3×#107C22×C3semidirect
163. C3×#103C2×D3semidirect
164. C3×#103C22×C3semidirect
165. #835C22×C3semidirect
166. #818C22×C3semidirect
167. #816C22×C3semidirect
168. #810C22×C3semidirect
169. #807C22×C3semidirect
173. C22×C3×D3Q16semidirect
212. #467C3×D3direct (N × H)
306. C22×C32C2×Q16semidirect
313. C2×C3×D3C2×Q16semidirect
329. C2×Q16C2×C3×D3semidirect
348. #107C2×C3×D3semidirect
352. #103C2×C3×D3semidirect
363. C22×D3C3×Q16semidirect
437. C3×D3#467direct (N × H)
493. C22×C3D3×Q16semidirect
494. C22×C3C2×C3×Q16semidirect
502. C2×D3C2×C3×Q16semidirect
527. C32C2×#467semidirect
577. D3C3×#467direct (N × H)
587. C22C3×D3×Q16semidirect
599. C3D3×#467direct (N × H)
600. C3C2×C3×#467semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×Q162
C22×C3×D3×C82
C3×D3×C22⋊Q82
C32×#4672
C3×#51882
C3×#51162
C3×#50512
C3×#48872
C3×D3×#1072
C3×#48132
C3×D3×#1032
C2×C3×#4673
D3×#4673