Finite Group Databasebeta

← C2×C3×D3×#217 #13175082

Subgroups — C2×C3×D3×#217 #13175082

Order 1728.

3842 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C32×D3C211yesmaximal, characteristic
2C22×C3×D3×Dic3C212yesmaximal, complemented
3C2×C3×#3757C211yesmaximal, characteristic, complemented
4C2×C32×#217C211yesmaximal, characteristic, complemented
5C3×D3×#217C218yesmaximal, direct product factor
6C2×C3×(C2×D3)⋊Dic3C212yesmaximal, complemented
7C22×C3×#217—31nomaximal
8C2×C3×D3×C22⋊C4—31nomaximal
9C2×D3×#217C311yesmaximal, characteristic, direct product factor
10C24×C33C2211yescharacteristic
11C23×C32×D3—28no—
12C23×C32×D3C418yescomplemented
13C23×C32×D3C2211yescharacteristic
14C23×C32×D3C2214yes—
15C23×C32×D3C2211yescharacteristic
16C22×C3×C3⋊Dic3C2212yescomplemented
17C22×C32×Dic3C2212yescomplemented
18C2×C3×D3×Dic3—28no—
19C2×C3×D3×Dic3C2218yescomplemented
20C3×#3757C2214yescomplemented
21C32×#217C2214yescomplemented
22C3×(C2×D3)⋊Dic3C2218yescomplemented
23C25×C32—31no—
24C24×C3×D3—21no—
25C24×C3×D3D311yescharacteristic
26C24×C3×D3C2×C311yescharacteristic
27C23×C3×Dic3—32no—
28C22×C3×C4×D3—32no—
29C22×D3×Dic3C2×C312yescomplemented
30C2×C32×C22⋊C4—31no—
31C2×#3757C2×C311yescharacteristic, complemented
32C2×C3×#217—21no—
33C2×C3×#217—32no—
34C2×C3×#217—38no—
35C2×C3×#217—31no—
36C2×C3×#217—31no—
37C2×C3×#217—61no—
38C2×C3×#217D311yescharacteristic, direct product factor
39C2×C3×#217C2×C311yescharacteristic, complemented
40C2×C3×(C2×D3)⋊C4—32no—
41C3×D3×C22⋊C4—38no—
42D3×#217C2×C318yesdirect product factor
43C2×(C2×D3)⋊Dic3C2×C312yescomplemented
44C23×C33—24no—
45C23×C33C2×C414yescomplemented
46C23×C33C2312yes—
47C23×C33C2311yescharacteristic
48C22×C32×D3—24no—
49C22×C32×D3—232no—
50C22×C32×D3—216no—
51C22×C32×D3C2×C414yes—
52C22×C32×D3C2×C4116yescomplemented
53C22×C32×D3C2×C414yescomplemented
54C22×C32×D3D418yes—
55C22×C32×D3C2312yes—
56C22×C32×D3C2312yes—
57C2×C3×C3⋊Dic3—24no—
58C2×C3×C3⋊Dic3C2314yescomplemented
59C2×C32×Dic3—24no—
60C2×C32×Dic3C2314yescomplemented
61C3×D3×Dic3—216no—
62C22×C3×C22⋊C4—91no—
63C22×#217—31no—
64C2×D3×C22⋊C4—31no—
65C24×C32—21no—
66C24×C32—21no—
67C24×C32—21no—
68C24×C32—31no—
69C24×C32—38no—
70C24×C32—34no—
71C24×C32—31no—
72C24×C32—41no—
73C24×C32—68no—
74C24×C32C2×D311yescharacteristic
75C24×C32C2×D311yescharacteristic
76C24×C32C22×C311yescharacteristic
77C23×C3×D3—216no—
78C23×C3×D3—28no—
79C23×C3×D3—24no—
80C23×C3×D3—21no—
81C23×C3×D3—21no—
82C23×C3×D3—28no—
83C23×C3×D3—28no—
84C23×C3×D3Dic318yescomplemented
85C23×C3×D3C3×C418yescomplemented
86C23×C3×D3C2×D314yes—
87C23×C3×D3C2×D311yescharacteristic
88C23×C3×D3C2×D311yescharacteristic
89C23×C3×D3C22×C311yescharacteristic
90C23×C3×D3C22×C314yes—
91C23×C3×D3C22×C311yescharacteristic
92C22×C32×C4—32no—
93C22×C3⋊Dic3C22×C312yescomplemented
94C22×C3×Dic3—22no—
95C22×C3×Dic3—32no—
96C22×C3×Dic3—32no—
97C22×C3×Dic3—38no—
98C22×C3×Dic3—68no—
99C22×C3×Dic3—62no—
100C22×C3×Dic3C2×D312yescomplemented
101C22×C3×Dic3C22×C312yescomplemented
102C2×C3×C4×D3—38no—
103C2×C3×C4×D3—68no—
104C2×D3×Dic3—28no—
105C2×D3×Dic3C22×C318yescomplemented
106C32×C22⋊C4—34no—
107#3757C22×C314yescomplemented
108C3×#217—24no—
109C3×#217—34no—
110C3×#217—34no—
111C3×#217—38no—
112C3×#217—64no—
113C3×#217C2×D314yesdirect product factor
114C3×#217C22×C314yescomplemented
115C3×(C2×D3)⋊C4—38no—
116(C2×D3)⋊Dic3C22×C318yescomplemented
117C22×C33—28no—
118C22×C33—24no—
119C22×C33C22×C412yes—
120C22×C33C22×C414yescomplemented
121C22×C33C2×D414yes—
122C22×C33C2411yescharacteristic
123C2×C32×D3—28no—
124C2×C32×D3—24no—
125C2×C32×D3—232no—
126C2×C32×D3C22⋊C4116yescomplemented
127C2×C32×D3C22×C414yes—
128C2×C32×D3C22×C414yescomplemented
129C2×C32×D3C2×D418yes—
130C3×C3⋊Dic3—24no—
131C32×Dic3—24no—
132C25×C3—31no—
133C25×C3—31no—
134C25×C3—61no—
135C24×D3C3×D311yescharacteristic
136C23×C3×C4—92no—
137C23×Dic3—32no—
138C22×C4×D3—32no—
139C2×C3×C22⋊C4—31no—
140C2×C3×C22⋊C4—31no—
141C2×C3×C22⋊C4—61no—
142C2×C3×C22⋊C4—98no—
143C2×C3×C22⋊C4—92no—
144C2×C3×C22⋊C4—91no—
145C2×#217—31no—
146C2×#217—31no—
147C2×#217—32no—
148C2×#217—38no—
149C2×#217—61no—
150C2×#217C3×D311yescharacteristic, direct product factor
151C2×(C2×D3)⋊C4—32no—
152D3×C22⋊C4—38no—
153C23×C32—24no—
154C23×C32—28no—
155C23×C32—24no—
156C23×C32—24no—
157C23×C32—24no—
158C23×C32—24no—
159C23×C32—24no—
160C23×C32—22no—
161C23×C32—21no—
162C23×C32—22no—
163C23×C32—21no—
164C23×C32—21no—
165C23×C32—22no—
166C23×C32—34no—
167C23×C32—38no—
168C23×C32—32no—
169C23×C32—34no—
170C23×C32—316no—
171C23×C32—32no—
172C23×C32—44no—
173C23×C32—41no—
174C23×C32—42no—
175C23×C32—44no—
176C23×C32—44no—
177C23×C32—48no—
178C23×C32—632no—
179C23×C32—616no—
180C23×C32—64no—
181C23×C32C4×D314yescomplemented
182C23×C32C2×Dic314yescomplemented
183C23×C32C2×C3×C414yescomplemented
184C23×C32C22×D312yes—
185C23×C32C22×D312yes—
186C23×C32C22×D311yescharacteristic
187C23×C32C22×D311yescharacteristic
188C23×C32C23×C312yes—
189C23×C32C23×C311yescharacteristic
190C22×C3×D3—28no—
191C22×C3×D3—264no—
192C22×C3×D3—232no—
193C22×C3×D3—24no—
194C22×C3×D3—24no—
195C22×C3×D3—232no—
196C22×C3×D3—232no—
197C22×C3×D3—216no—
198C22×C3×D3—216no—
199C22×C3×D3—24no—
200C22×C3×D3—216no—
201C22×C3×D3—24no—
202C22×C3×D3—28no—
203C22×C3×D3—22no—
204C22×C3×D3—22no—
205C22×C3×D3C2×Dic314yes—
206C22×C3×D3C2×Dic3116yescomplemented
207C22×C3×D3C2×Dic314yescomplemented
208C22×C3×D3#6718yes—
209C22×C3×D3C2×C3×C414yes—
210C22×C3×D3C2×C3×C4116yescomplemented
211C22×C3×D3C2×C3×C414yescomplemented
212C22×C3×D3C3×D418yes—
213C22×C3×D3C22×D312yes—
214C22×C3×D3C22×D312yes—
215C22×C3×D3C23×C312yes—
216C22×C3×D3C23×C312yes—
217C2×C32×C4—34no—
218C2×C32×C4—64no—
219C2×C3⋊Dic3—24no—
220C2×C3⋊Dic3C23×C314yescomplemented
221C2×C3×Dic3—24no—
222C2×C3×Dic3—24no—
223C2×C3×Dic3—24no—
224C2×C3×Dic3—34no—
225C2×C3×Dic3—34no—
226C2×C3×Dic3—44no—
227C2×C3×Dic3—64no—
228C2×C3×Dic3—616no—
229C2×C3×Dic3—64no—
230C2×C3×Dic3—64no—
231C2×C3×Dic3—124no—
232C2×C3×Dic3C22×D314yescomplemented
233C2×C3×Dic3C23×C314yescomplemented
234C3×C4×D3—616no—
235D3×Dic3—216no—
236C22×C22⋊C4—91noSylow
237C2×C33—24no—
238C2×C33C2×C22⋊C414yescomplemented
239C2×C33C23×C411yescharacteristic
240C2×C33C22×D412yes—
241C32×D3—24no—
242C32×D3C2×C22⋊C418yescomplemented
243C24×C3—21no—
244C24×C3—21no—
245C24×C3—21no—
246C24×C3—31no—
247C24×C3—31no—
248C24×C3—38no—
249C24×C3—38no—
250C24×C3—34no—
251C24×C3—31no—
252C24×C3—34no—
253C24×C3—31no—
254C24×C3—41no—
255C24×C3—61no—
256C24×C3—68no—
257C24×C3—64no—
258C24×C3—61no—
259C24×C3—68no—
260C24×C3—68no—
261C24×C3—616no—
262C24×C3D3211yescharacteristic
263C24×C3C2×C3×D311yescharacteristic
264C24×C3C2×C3×D311yescharacteristic
265C23×D3—28no—
266C23×D3C3×Dic318yescomplemented
267C23×D3C2×C3×D314yes—
268C23×D3C2×C3×D311yescharacteristic
269C23×D3C2×C3×D311yescharacteristic
270C22×C3×C4—32no—
271C22×C3×C4—32no—
272C22×C3×C4—62no—
273C22×C3×C4—98no—
274C22×C3×C4—92no—
275C22×C3×C4—188no—
276C22×Dic3—32no—
277C22×Dic3—32no—
278C22×Dic3—38no—
279C22×Dic3—62no—
280C22×Dic3—68no—
281C22×Dic3C2×C3×D312yescomplemented
282C2×C4×D3—38no—
283C2×C4×D3—68no—
284C3×C22⋊C4—34no—
285C3×C22⋊C4—34no—
286C3×C22⋊C4—64no—
287C3×C22⋊C4—98no—
288C3×C22⋊C4—94no—
289#217—34no—
290#217—34no—
291#217—38no—
292#217—64no—
293#217C2×C3×D314yesdirect product factor
294(C2×D3)⋊C4—38no—
295C22×C32—28no—
296C22×C32—24no—
297C22×C32—216no—
298C22×C32—28no—
299C22×C32—28no—
300C22×C32—28no—
301C22×C32—24no—
302C22×C32—24no—
303C22×C32—21no—
304C22×C32—21no—
305C22×C32—21no—
306C22×C32—22no—
307C22×C32—24no—
308C22×C32—24no—
309C22×C32—22no—
310C22×C32—24no—
311C22×C32—24no—
312C22×C32—22no—
313C22×C32—24no—
314C22×C32—24no—
315C22×C32—316no—
316C22×C32—34no—
317C22×C32—38no—
318C22×C32—34no—
319C22×C32—42no—
320C22×C32—44no—
321C22×C32—44no—
322C22×C32—41no—
323C22×C32—48no—
324C22×C32—44no—
325C22×C32—44no—
326C22×C32—48no—
327C22×C32—416no—
328C22×C32—48no—
329C22×C32—632no—
330C22×C32—68no—
331C22×C32—64no—
332C22×C32C2×C4×D312yes—
333C22×C32C2×C4×D314yescomplemented
334C22×C32D3×D414yes—
335C22×C32C22×Dic312yes—
336C22×C32C22×Dic314yescomplemented
337C22×C32C2×#6714yes—
338C22×C32C22×C3×C412yes—
339C22×C32C22×C3×C414yescomplemented
340C22×C32C2×C3×D414yes—
341C22×C32C23×D311yescharacteristic
342C22×C32C23×D311yescharacteristic
343C22×C32C24×C311yescharacteristic
344C2×C3×D3—216no—
345C2×C3×D3—28no—
346C2×C3×D3—264no—
347C2×C3×D3—28no—
348C2×C3×D3—28no—
349C2×C3×D3—24no—
350C2×C3×D3—24no—
351C2×C3×D3—232no—
352C2×C3×D3—232no—
353C2×C3×D3—216no—
354C2×C3×D3—24no—
355C2×C3×D3—24no—
356C2×C3×D3—28no—
357C2×C3×D3#217116yesdirect product factor
358C2×C3×D3C3×C22⋊C4116yescomplemented
359C2×C3×D3C22×Dic314yes—
360C2×C3×D3C22×Dic314yescomplemented
361C2×C3×D3C2×#6718yes—
362C2×C3×D3C22×C3×C414yes—
363C2×C3×D3C22×C3×C414yescomplemented
364C2×C3×D3C2×C3×D418yes—
365C32×C4—64no—
366C3⋊Dic3—24no—
367C3×Dic3—24no—
368C3×Dic3—24no—
369C3×Dic3—44no—
370C3×Dic3—64no—
371C3×Dic3—64no—
372C3×Dic3—124no—
373C25—31no—
374C23×C4—92no—
375C2×C22⋊C4—31no—
376C2×C22⋊C4—98no—
377C2×C22⋊C4—92no—
378C2×C22⋊C4—91no—
379C33C22×C22⋊C411yescharacteristic, complemented, Sylow
380C23×C3—28no—
381C23×C3—24no—
382C23×C3—24no—
383C23×C3—24no—
384C23×C3—24no—
385C23×C3—24no—
386C23×C3—24no—
387C23×C3—21no—
388C23×C3—22no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—22no—
392C23×C3—22no—
393C23×C3—32no—
394C23×C3—32no—
395C23×C3—34no—
396C23×C3—38no—
397C23×C3—34no—
398C23×C3—38no—
399C23×C3—32no—
400C23×C3—32no—
401C23×C3—34no—
402C23×C3—316no—
403C23×C3—34no—
404C23×C3—316no—
405C23×C3—44no—
406C23×C3—44no—
407C23×C3—48no—
408C23×C3—44no—
409C23×C3—42no—
410C23×C3—41no—
411C23×C3—62no—
412C23×C3—64no—
413C23×C3—68no—
414C23×C3—62no—
415C23×C3—64no—
416C23×C3—616no—
417C23×C3—632no—
418C23×C3—616no—
419C23×C3—616no—
420C23×C3—632no—
421C23×C3—632no—
422C23×C3—664no—
423C23×C3—68no—
424C23×C3—64no—
425C23×C3—64no—
426C23×C3D3×Dic314yescomplemented
427C23×C3C3×C4×D314yescomplemented
428C23×C3C2×C3×Dic314yescomplemented
429C23×C3C2×D3212yes—
430C23×C3C2×D3211yescharacteristic
431C23×C3C22×C3×D312yes—
432C23×C3C22×C3×D312yes—
433C23×C3C22×C3×D311yescharacteristic
434C23×C3C22×C3×D311yescharacteristic
435C22×D3—24no—
436C22×D3—232no—
437C22×D3—216no—
438C22×D3C2×C3×Dic314yes—
439C22×D3C2×C3×Dic3116yescomplemented
440C22×D3C2×C3×Dic314yescomplemented
441C22×D3C3×#6718yes—
442C22×D3C22×C3×D312yes—
443C22×D3C22×C3×D312yes—
444C2×C3×C4—34no—
445C2×C3×C4—34no—
446C2×C3×C4—64no—
447C2×C3×C4—64no—
448C2×C3×C4—64no—
449C2×C3×C4—94no—
450C2×C3×C4—124no—
451C2×C3×C4—1816no—
452C2×C3×C4—184no—
453C2×Dic3—24no—
454C2×Dic3—34no—
455C2×Dic3—34no—
456C2×Dic3—64no—
457C2×Dic3—616no—
458C2×Dic3—64no—
459C2×Dic3—64no—
460C2×Dic3—124no—
461C2×Dic3C22×C3×D314yescomplemented
462C4×D3—616no—
463C2×C32—24no—
464C2×C32—28no—
465C2×C32—24no—
466C2×C32—24no—
467C2×C32—24no—
468C2×C32—21no—
469C2×C32—22no—
470C2×C32—24no—
471C2×C32—21no—
472C2×C32—22no—
473C2×C32—21no—
474C2×C32—22no—
475C2×C32—24no—
476C2×C32—38no—
477C2×C32—44no—
478C2×C32—41no—
479C2×C32—42no—
480C2×C32—44no—
481C2×C32—44no—
482C2×C32—48no—
483C2×C32—64no—
484C2×C32D3×C22⋊C414yescomplemented
485C2×C32C2×#21714yescomplemented
486C2×C32C2×C3×C22⋊C414yescomplemented
487C2×C32C22×C4×D311yescharacteristic
488C2×C32C2×D3×D412yes—
489C2×C32C23×Dic311yescharacteristic
490C2×C32C22×#6712yes—
491C2×C32C23×C3×C411yescharacteristic
492C2×C32C22×C3×D412yes—
493C3×D3—28no—
494C3×D3—24no—
495C3×D3—24no—
496C3×D3—28no—
497C3×D3C2×#21718yesdirect product factor
498C3×D3C2×C3×C22⋊C418yescomplemented
499C24—31no—
500C24—38no—
501C24—34no—
502C24—31no—
503C24—68no—
504C24C3×D3211yescharacteristic
505C22×C4—32no—
506C22×C4—98no—
507C22×C4—92no—
508C22×C4—188no—
509C22⋊C4—34no—
510C22⋊C4—98no—
511C22⋊C4—94no—
512C22×C3—28no—
513C22×C3—216no—
514C22×C3—28no—
515C22×C3—24no—
516C22×C3—28no—
517C22×C3—24no—
518C22×C3—24no—
519C22×C3—28no—
520C22×C3—21no—
521C22×C3—21no—
522C22×C3—21no—
523C22×C3—22no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—24no—
527C22×C3—24no—
528C22×C3—24no—
529C22×C3—24no—
530C22×C3—24no—
531C22×C3—24no—
532C22×C3—316no—
533C22×C3—34no—
534C22×C3—38no—
535C22×C3—34no—
536C22×C3—38no—
537C22×C3—316no—
538C22×C3—34no—
539C22×C3—34no—
540C22×C3—44no—
541C22×C3—44no—
542C22×C3—48no—
543C22×C3—48no—
544C22×C3—48no—
545C22×C3—416no—
546C22×C3—41no—
547C22×C3—42no—
548C22×C3—44no—
549C22×C3—44no—
550C22×C3—64no—
551C22×C3—68no—
552C22×C3—616no—
553C22×C3—64no—
554C22×C3—632no—
555C22×C3—632no—
556C22×C3—664no—
557C22×C3—68no—
558C22×C3—616no—
559C22×C3—68no—
560C22×C3—64no—
561C22×C3—64no—
562C22×C3—68no—
563C22×C3C2×D3×Dic312yes—
564C22×C3C2×D3×Dic314yescomplemented
565C22×C3D3×#6714yes—
566C22×C3C2×C3×C4×D312yes—
567C22×C3C2×C3×C4×D314yescomplemented
568C22×C3C3×D3×D414yes—
569C22×C3C22×C3×Dic312yes—
570C22×C3C22×C3×Dic314yescomplemented
571C22×C3C2×C3×#6714yes—
572C22×C3C22×D3211yescharacteristic
573C22×C3C23×C3×D311yescharacteristic
574C22×C3C23×C3×D311yescharacteristic
575C2×D3—28no—
576C2×D3—24no—
577C2×D3—232no—
578C2×D3C3×#217116yesdirect product factor
579C2×D3C22×C3×Dic314yes—
580C2×D3C22×C3×Dic314yescomplemented
581C2×D3C2×C3×#6718yes—
582C3×C4—64no—
583C3×C4—64no—
584C3×C4—124no—
585C3×C4—184no—
586Dic3—24no—
587Dic3—64no—
588Dic3—64no—
589Dic3—124no—
590C32—21no—
591C32—21no—
592C32—21no—
593C32—41no—
594C32C2×D3×C22⋊C411yescharacteristic, complemented
595C32C22×#21711yescharacteristic, complemented
596C32C22×C3×C22⋊C411yescharacteristic, complemented
597C23—24no—
598C23—32no—
599C23—34no—
600C23—38no—
601C23—32no—
602C23—34no—
603C23—316no—
604C23—616no—
605C23—632no—
606C23—64no—
607C23C3×D3×Dic314yescomplemented
608C23C2×C3×D3212yes—
609C23C2×C3×D3211yescharacteristic
610C2×C4—34no—
611C2×C4—64no—
612C2×C4—94no—
613C2×C4—1816no—
614C2×C4—184no—
615C2×C3—28no—
616C2×C3—24no—
617C2×C3—24no—
618C2×C3—24no—
619C2×C3—21no—
620C2×C3—21no—
621C2×C3—21no—
622C2×C3—22no—
623C2×C3—22no—
624C2×C3—22no—
625C2×C3—24no—
626C2×C3—24no—
627C2×C3—24no—
628C2×C3—38no—
629C2×C3—38no—
630C2×C3—44no—
631C2×C3—44no—
632C2×C3—48no—
633C2×C3—41no—
634C2×C3—42no—
635C2×C3—44no—
636C2×C3—68no—
637C2×C3—68no—
638C2×C3—64no—
639C2×C3—64no—
640C2×C3D3×#21714yesdirect product factor
641C2×C3C3×D3×C22⋊C414yescomplemented
642C2×C3C2×C3×#21714yescomplemented
643C2×C3C22×D3×Dic311yescharacteristic
644C2×C3C2×D3×#6712yes—
645C2×C3C22×C3×C4×D311yescharacteristic
646C2×C3C2×C3×D3×D412yes—
647C2×C3C23×C3×Dic311yescharacteristic
648C2×C3C22×C3×#6712yes—
649D3—24no—
650D3C2×C3×#21718yesdirect product factor
651C22—24no—
652C22—28no—
653C22—34no—
654C22—38no—
655C22—316no—
656C22—34no—
657C22—632no—
658C22—64no—
659C22—68no—
660C22C2×C3×D3×Dic312yes—
661C22C2×C3×D3×Dic314yescomplemented
662C22C3×D3×#6714yes—
663C22C22×C3×D3211yescharacteristic
664C4—64no—
665C4—184no—
666C3—21no—
667C3—21no—
668C3—21no—
669C3—41no—
670C3C2×D3×#21711yescharacteristic, direct product factor
671C3C2×C3×D3×C22⋊C411yescharacteristic, complemented
672C3C22×C3×#21711yescharacteristic, complemented
673C2—24no—
674C2—38no—
675C2—64no—
676C2C3×D3×#21714yesdirect product factor
677C2C22×C3×D3×Dic311yescharacteristic
678C2C2×C3×D3×#6712yes—
subgroupG/H
centerC23×C3C2×D32
commutatorC2×C32C23×C3×C4
FrattiniC22C22×C3×D32
FittingC24×C33C22
socleC23×C33C23
prime radicalC24×C32×D3C2
cosocleC22×C32C24×C3
hypercenterC24×C3D32
hypocenterC32C22×C3×C22⋊C4
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C23×C3 ◁ C24×C3

Complements

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

NH ≅ G/Ntype
2. C22×C3×D3×Dic3C2semidirect
3. C2×C3×#3757C2semidirect
4. C2×C32×#217C2semidirect
5. C3×D3×#217C2direct (N × H)
6. C2×C3×(C2×D3)⋊Dic3C2semidirect
9. C2×D3×#217C3direct (N × H)
12. C23×C32×D3C4semidirect
16. C22×C3×C3⋊Dic3C22semidirect
17. C22×C32×Dic3C22semidirect
19. C2×C3×D3×Dic3C22semidirect
20. C3×#3757C22semidirect
21. C32×#217C22semidirect
22. C3×(C2×D3)⋊Dic3C22semidirect
29. C22×D3×Dic3C2×C3semidirect
31. C2×#3757C2×C3semidirect
38. C2×C3×#217D3direct (N × H)
39. C2×C3×#217C2×C3semidirect
42. D3×#217C2×C3direct (N × H)
43. C2×(C2×D3)⋊Dic3C2×C3semidirect
45. C23×C33C2×C4semidirect
52. C22×C32×D3C2×C4semidirect
53. C22×C32×D3C2×C4semidirect
58. C2×C3×C3⋊Dic3C23semidirect
60. C2×C32×Dic3C23semidirect
84. C23×C3×D3Dic3semidirect
85. C23×C3×D3C3×C4semidirect
93. C22×C3⋊Dic3C22×C3semidirect
100. C22×C3×Dic3C2×D3semidirect
101. C22×C3×Dic3C22×C3semidirect
105. C2×D3×Dic3C22×C3semidirect
107. #3757C22×C3semidirect
113. C3×#217C2×D3direct (N × H)
114. C3×#217C22×C3semidirect
116. (C2×D3)⋊Dic3C22×C3semidirect
120. C22×C33C22×C4semidirect
126. C2×C32×D3C22⋊C4semidirect
128. C2×C32×D3C22×C4semidirect
150. C2×#217C3×D3direct (N × H)
181. C23×C32C4×D3semidirect
182. C23×C32C2×Dic3semidirect
183. C23×C32C2×C3×C4semidirect
206. C22×C3×D3C2×Dic3semidirect
207. C22×C3×D3C2×Dic3semidirect
210. C22×C3×D3C2×C3×C4semidirect
211. C22×C3×D3C2×C3×C4semidirect
220. C2×C3⋊Dic3C23×C3semidirect
232. C2×C3×Dic3C22×D3semidirect
233. C2×C3×Dic3C23×C3semidirect
238. C2×C33C2×C22⋊C4semidirect
242. C32×D3C2×C22⋊C4semidirect
266. C23×D3C3×Dic3semidirect
281. C22×Dic3C2×C3×D3semidirect
293. #217C2×C3×D3direct (N × H)
333. C22×C32C2×C4×D3semidirect
336. C22×C32C22×Dic3semidirect
339. C22×C32C22×C3×C4semidirect
357. C2×C3×D3#217direct (N × H)
358. C2×C3×D3C3×C22⋊C4semidirect
360. C2×C3×D3C22×Dic3semidirect
363. C2×C3×D3C22×C3×C4semidirect
379. C33C22×C22⋊C4semidirect
426. C23×C3D3×Dic3semidirect
427. C23×C3C3×C4×D3semidirect
428. C23×C3C2×C3×Dic3semidirect
439. C22×D3C2×C3×Dic3semidirect
440. C22×D3C2×C3×Dic3semidirect
461. C2×Dic3C22×C3×D3semidirect
484. C2×C32D3×C22⋊C4semidirect
485. C2×C32C2×#217semidirect
486. C2×C32C2×C3×C22⋊C4semidirect
497. C3×D3C2×#217direct (N × H)
498. C3×D3C2×C3×C22⋊C4semidirect
564. C22×C3C2×D3×Dic3semidirect
567. C22×C3C2×C3×C4×D3semidirect
570. C22×C3C22×C3×Dic3semidirect
578. C2×D3C3×#217direct (N × H)
580. C2×D3C22×C3×Dic3semidirect
594. C32C2×D3×C22⋊C4semidirect
595. C32C22×#217semidirect
596. C32C22×C3×C22⋊C4semidirect
607. C23C3×D3×Dic3semidirect
640. C2×C3D3×#217direct (N × H)
641. C2×C3C3×D3×C22⋊C4semidirect
642. C2×C3C2×C3×#217semidirect
650. D3C2×C3×#217direct (N × H)
661. C22C2×C3×D3×Dic3semidirect
670. C3C2×D3×#217direct (N × H)
671. C3C2×C3×D3×C22⋊C4semidirect
672. C3C22×C3×#217semidirect
676. C2C3×D3×#217direct (N × H)

Maximal subgroups

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

subgroupindex
C24×C32×D32
C22×C3×D3×Dic32
C2×C3×#37572
C2×C32×#2172
C3×D3×#2172
C2×C3×(C2×D3)⋊Dic32
C22×C3×#2173
C2×C3×D3×C22⋊C43
C2×D3×#2173