Finite Group Databasebeta

← C3×D3×C3⋊#95 #13158371

Subgroups — C3×D3×C3⋊#95 #13158371

Order 1728.

1762 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×C4×D3C211yesmaximal, characteristic
2C22×C3×D3×Dic3C212yesmaximal
3C3×#63658C211yesmaximal, characteristic, complemented
4C32×C3⋊#95C211yesmaximal, characteristic, complemented
5C3×#63579C212yesmaximal, complemented
6C2×C3×C3⋊#95—31nomaximal
7C3×D3×#95—31nomaximal
8D3×C3⋊#95C311yesmaximal, characteristic, direct product factor
9C23×C32×D3C2211yescharacteristic
10C22×C33×C4C2211yescharacteristic
11C22×C3×C3⋊Dic3C2212yes—
12C22×C32×Dic3C2212yes—
13C22×C32×Dic3C2211yescharacteristic
14C2×C32×C4×D3—24no—
15C2×C32×C4×D3C414yescomplemented
16C2×C3×D3×Dic3—24no—
17C2×C3×D3×Dic3—24no—
18C2×C3×D3×Dic3C418yescomplemented
19C23×C32×C4—31no—
20C23×C3×Dic3—32no—
21C22×C3×C4×D3—21no—
22C22×C3×C4×D3—32no—
23C22×C3×C4×D3D311yescharacteristic
24C22×C3×C4×D3C2×C311yescharacteristic
25C22×D3×Dic3C2×C312yes—
26C32×#95—31no—
27#63658C2×C311yescharacteristic, complemented
28C3×C3⋊#95—21no—
29C3×C3⋊#95—31no—
30C3×C3⋊#95—31no—
31C3×C3⋊#95—32no—
32C3×C3⋊#95—32no—
33C3×C3⋊#95—61no—
34C3×C3⋊#95D311yescharacteristic, direct product factor
35C3×C3⋊#95C2×C311yescharacteristic, complemented
36#63579C2×C312yescomplemented
37C23×C33C2311yescharacteristic
38C22×C32×D3C2×C414yes—
39C22×C32×D3C2×C412yes—
40C22×C32×D3D412yes—
41C22×C32×D3D414yes—
42C22×C32×D3Q812yes—
43C2×C33×C4—22no—
44C2×C33×C4C2×C412yescomplemented
45C2×C3×C3⋊Dic3—22no—
46C2×C3×C3⋊Dic3—22no—
47C2×C3×C3⋊Dic3C2×C414yescomplemented
48C2×C32×Dic3—22no—
49C2×C32×Dic3—22no—
50C2×C32×Dic3—22no—
51C2×C32×Dic3C2×C414yescomplemented
52C2×C32×Dic3C2×C412yescomplemented
53C32×C4×D3—28no—
54C3×D3×Dic3—216no—
55C2×C3×#95—91no—
56C2×C3⋊#95—31no—
57D3×#95—31no—
58C24×C32—31no—
59C23×C3×D3—21no—
60C23×C3×D3C2×D311yescharacteristic
61C23×C3×D3C22×C311yescharacteristic
62C22×C32×C4—21no—
63C22×C32×C4—21no—
64C22×C32×C4—21no—
65C22×C32×C4—32no—
66C22×C32×C4—31no—
67C22×C32×C4—34no—
68C22×C32×C4—41no—
69C22×C32×C4—64no—
70C22×C32×C4C2×D311yescharacteristic
71C22×C32×C4C2×D311yescharacteristic
72C22×C32×C4C22×C311yescharacteristic
73C22×C3⋊Dic3C22×C312yes—
74C22×C3×Dic3—21no—
75C22×C3×Dic3—22no—
76C22×C3×Dic3—32no—
77C22×C3×Dic3—32no—
78C22×C3×Dic3—38no—
79C22×C3×Dic3—64no—
80C22×C3×Dic3—64no—
81C22×C3×Dic3—62no—
82C22×C3×Dic3C2×D312yes—
83C22×C3×Dic3C2×D311yescharacteristic
84C22×C3×Dic3C22×C312yes—
85C22×C3×Dic3C22×C311yescharacteristic
86C2×C3×C4×D3—28no—
87C2×C3×C4×D3—24no—
88C2×C3×C4×D3—24no—
89C2×C3×C4×D3—24no—
90C2×C3×C4×D3—38no—
91C2×C3×C4×D3—64no—
92C2×C3×C4×D3—64no—
93C2×C3×C4×D3Dic314yescomplemented
94C2×C3×C4×D3C3×C414yescomplemented
95C2×D3×Dic3—24no—
96C2×D3×Dic3—24no—
97C2×D3×Dic3C3×C418yescomplemented
98C22×C33C22×C412yes—
99C22×C33C22×C411yescharacteristic
100C22×C33C2×D411yescharacteristic
101C22×C33C2×D412yes—
102C22×C33C2×Q811yescharacteristic
103C2×C32×D3C4214yes—
104C2×C32×D3C22⋊C418yes—
105C2×C32×D3C22⋊C414yes—
106C2×C32×D3C4⋊C418yes—
107C2×C32×D3C4⋊C414yes—
108C33×C4—22no—
109C3×C3⋊Dic3—24no—
110C32×Dic3—22no—
111C32×Dic3—24no—
112C23×C3×C4—31no—
113C23×C3×C4—31no—
114C23×C3×C4—61no—
115C23×C3×C4—92no—
116C23×Dic3—32no—
117C22×C4×D3—32no—
118C22×C4×D3C3×D311yescharacteristic
119C3×#95—31no—
120C3×#95—31no—
121C3×#95—61no—
122C3×#95—92no—
123C3×#95—91no—
124C3⋊#95—31no—
125C3⋊#95—31no—
126C3⋊#95—32no—
127C3⋊#95—32no—
128C3⋊#95—61no—
129C3⋊#95C3×D311yescharacteristic, direct product factor
130C23×C32—21no—
131C23×C32—21no—
132C23×C32—21no—
133C23×C32—34no—
134C23×C32—32no—
135C23×C32—32no—
136C23×C32—34no—
137C23×C32—32no—
138C23×C32—41no—
139C23×C32C22×D311yescharacteristic
140C23×C32C22×D311yescharacteristic
141C23×C32C23×C311yescharacteristic
142C22×C3×D3—22no—
143C22×C3×D3—24no—
144C22×C3×D3—22no—
145C22×C3×D3—22no—
146C22×C3×D3—24no—
147C22×C3×D3Dic612yes—
148C22×C3×D3C4×D314yes—
149C22×C3×D3D1212yes—
150C22×C3×D3C2×Dic312yes—
151C22×C3×D3#6714yes—
152C22×C3×D3C2×C3×C414yes—
153C22×C3×D3C2×C3×C412yes—
154C22×C3×D3C3×D412yes—
155C22×C3×D3C3×D414yes—
156C22×C3×D3C3×Q812yes—
157C2×C32×C4—22no—
158C2×C32×C4—24no—
159C2×C32×C4—22no—
160C2×C32×C4—22no—
161C2×C32×C4—22no—
162C2×C32×C4—22no—
163C2×C32×C4—22no—
164C2×C32×C4—34no—
165C2×C32×C4—32no—
166C2×C32×C4—42no—
167C2×C32×C4—42no—
168C2×C32×C4—42no—
169C2×C32×C4—44no—
170C2×C32×C4—68no—
171C2×C32×C4—62no—
172C2×C32×C4—62no—
173C2×C32×C4—62no—
174C2×C32×C4C4×D312yescomplemented
175C2×C32×C4C2×Dic312yescomplemented
176C2×C32×C4C2×C3×C412yescomplemented
177C2×C3⋊Dic3—22no—
178C2×C3⋊Dic3—22no—
179C2×C3⋊Dic3C2×C3×C414yescomplemented
180C2×C3×Dic3—24no—
181C2×C3×Dic3—22no—
182C2×C3×Dic3—22no—
183C2×C3×Dic3—22no—
184C2×C3×Dic3—22no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—24no—
188C2×C3×Dic3—22no—
189C2×C3×Dic3—34no—
190C2×C3×Dic3—34no—
191C2×C3×Dic3—42no—
192C2×C3×Dic3—42no—
193C2×C3×Dic3—64no—
194C2×C3×Dic3—616no—
195C2×C3×Dic3—62no—
196C2×C3×Dic3—62no—
197C2×C3×Dic3—62no—
198C2×C3×Dic3—62no—
199C2×C3×Dic3—122no—
200C2×C3×Dic3—122no—
201C2×C3×Dic3C4×D314yescomplemented
202C2×C3×Dic3C2×Dic312yescomplemented
203C2×C3×Dic3C2×C3×C414yescomplemented
204C2×C3×Dic3C2×C3×C412yescomplemented
205C3×C4×D3—216no—
206C3×C4×D3—28no—
207C3×C4×D3—28no—
208C3×C4×D3—616no—
209D3×Dic3—216no—
210C2×#95—91noSylow
211C2×C33C2×C4211yescharacteristic
212C2×C33C2×C22⋊C412yes—
213C2×C33C2×C22⋊C411yescharacteristic
214C2×C33C2×C4⋊C412yes—
215C2×C33C2×C4⋊C411yescharacteristic
216C32×D3#9518yescomplemented
217C24×C3—31no—
218C24×C3—31no—
219C24×C3—61no—
220C23×D3C2×C3×D311yescharacteristic
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—32no—
225C22×C3×C4—31no—
226C22×C3×C4—31no—
227C22×C3×C4—32no—
228C22×C3×C4—34no—
229C22×C3×C4—34no—
230C22×C3×C4—41no—
231C22×C3×C4—64no—
232C22×C3×C4—61no—
233C22×C3×C4—62no—
234C22×C3×C4—64no—
235C22×C3×C4—64no—
236C22×C3×C4—68no—
237C22×C3×C4—98no—
238C22×C3×C4—92no—
239C22×C3×C4—184no—
240C22×C3×C4—184no—
241C22×C3×C4D3211yescharacteristic
242C22×C3×C4C2×C3×D311yescharacteristic
243C22×C3×C4C2×C3×D311yescharacteristic
244C22×Dic3—32no—
245C22×Dic3—32no—
246C22×Dic3—38no—
247C22×Dic3—62no—
248C22×Dic3—64no—
249C22×Dic3—64no—
250C22×Dic3C2×C3×D312yes—
251C22×Dic3C2×C3×D311yescharacteristic
252C2×C4×D3—24no—
253C2×C4×D3—38no—
254C2×C4×D3—64no—
255C2×C4×D3—64no—
256C2×C4×D3C3×Dic314yescomplemented
257C22×C32—21no—
258C22×C32—22no—
259C22×C32—21no—
260C22×C32—21no—
261C22×C32—22no—
262C22×C32—21no—
263C22×C32—22no—
264C22×C32—21no—
265C22×C32—22no—
266C22×C32—21no—
267C22×C32—21no—
268C22×C32—22no—
269C22×C32—21no—
270C22×C32—21no—
271C22×C32—22no—
272C22×C32—34no—
273C22×C32—38no—
274C22×C32—34no—
275C22×C32—38no—
276C22×C32—34no—
277C22×C32—41no—
278C22×C32—42no—
279C22×C32—42no—
280C22×C32—41no—
281C22×C32—41no—
282C22×C32C2×Dic611yescharacteristic
283C22×C32C2×C4×D312yes—
284C22×C32C2×C4×D312yes—
285C22×C32C2×C4×D311yescharacteristic
286C22×C32C2×D1211yescharacteristic
287C22×C32D3×D411yescharacteristic
288C22×C32D3×D412yes—
289C22×C32D3×Q811yescharacteristic
290C22×C32C22×Dic311yescharacteristic
291C22×C32C2×#6712yes—
292C22×C32C22×C3×C412yes—
293C22×C32C22×C3×C411yescharacteristic
294C22×C32C2×C3×D411yescharacteristic
295C22×C32C2×C3×D412yes—
296C22×C32C2×C3×Q811yescharacteristic
297C2×C3×D3—24no—
298C2×C3×D3—28no—
299C2×C3×D3—24no—
300C2×C3×D3—28no—
301C2×C3×D3—24no—
302C2×C3×D3C4×Dic314yes—
303C2×C3×D3Dic3⋊C418yes—
304C2×C3×D3C4⋊Dic314yes—
305C2×C3×D3(C2×D3)⋊C418yes—
306C2×C3×D3#21714yes—
307C2×C3×D3C3×C4214yes—
308C2×C3×D3C3×C22⋊C418yes—
309C2×C3×D3C3×C22⋊C414yes—
310C2×C3×D3C3×C4⋊C418yes—
311C2×C3×D3C3×C4⋊C414yes—
312C32×C4—22no—
313C32×C4—24no—
314C32×C4—22no—
315C32×C4—22no—
316C32×C4—42no—
317C32×C4—42no—
318C32×C4—44no—
319C32×C4—62no—
320C32×C4—64no—
321C3⋊Dic3—24no—
322C3×Dic3—24no—
323C3×Dic3—24no—
324C3×Dic3—22no—
325C3×Dic3—24no—
326C3×Dic3—22no—
327C3×Dic3—44no—
328C3×Dic3—64no—
329C3×Dic3—64no—
330C3×Dic3—124no—
331C23×C4—31no—
332C23×C4—92no—
333#95—31no—
334#95—92no—
335#95—91no—
336C33C2×#9511yescharacteristic, complemented, Sylow
337C23×C3—21no—
338C23×C3—21no—
339C23×C3—21no—
340C23×C3—32no—
341C23×C3—34no—
342C23×C3—32no—
343C23×C3—32no—
344C23×C3—34no—
345C23×C3—34no—
346C23×C3—32no—
347C23×C3—32no—
348C23×C3—34no—
349C23×C3—32no—
350C23×C3—41no—
351C23×C3—62no—
352C23×C3—64no—
353C23×C3—62no—
354C23×C3—64no—
355C23×C3—62no—
356C23×C3C2×D3211yescharacteristic
357C23×C3C22×C3×D311yescharacteristic
358C23×C3C22×C3×D311yescharacteristic
359C22×D3C3×Dic612yes—
360C22×D3C3×C4×D314yes—
361C22×D3C3×D1212yes—
362C22×D3C2×C3×Dic312yes—
363C22×D3C3×#6714yes—
364C2×C3×C4—24no—
365C2×C3×C4—22no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
371C2×C3×C4—34no—
372C2×C3×C4—32no—
373C2×C3×C4—34no—
374C2×C3×C4—32no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—44no—
378C2×C3×C4—42no—
379C2×C3×C4—62no—
380C2×C3×C4—64no—
381C2×C3×C4—68no—
382C2×C3×C4—68no—
383C2×C3×C4—616no—
384C2×C3×C4—64no—
385C2×C3×C4—62no—
386C2×C3×C4—62no—
387C2×C3×C4—62no—
388C2×C3×C4—62no—
389C2×C3×C4—62no—
390C2×C3×C4—62no—
391C2×C3×C4—94no—
392C2×C3×C4—122no—
393C2×C3×C4—122no—
394C2×C3×C4—1816no—
395C2×C3×C4—182no—
396C2×C3×C4—182no—
397C2×C3×C4D3×Dic312yescomplemented
398C2×C3×C4C3×C4×D312yescomplemented
399C2×C3×C4C2×C3×Dic312yescomplemented
400C2×Dic3—22no—
401C2×Dic3—22no—
402C2×Dic3—22no—
403C2×Dic3—34no—
404C2×Dic3—34no—
405C2×Dic3—64no—
406C2×Dic3—616no—
407C2×Dic3—62no—
408C2×Dic3—62no—
409C2×Dic3—62no—
410C2×Dic3—62no—
411C2×Dic3—122no—
412C2×Dic3—122no—
413C2×Dic3C3×C4×D314yescomplemented
414C2×Dic3C2×C3×Dic312yescomplemented
415C4×D3—28no—
416C4×D3—616no—
417C2×C32—22no—
418C2×C32—21no—
419C2×C32—22no—
420C2×C32—21no—
421C2×C32—21no—
422C2×C32—22no—
423C2×C32—21no—
424C2×C32—22no—
425C2×C32—21no—
426C2×C32—21no—
427C2×C32—22no—
428C2×C32—21no—
429C2×C32—22no—
430C2×C32—21no—
431C2×C32—21no—
432C2×C32—38no—
433C2×C32—41no—
434C2×C32—41no—
435C2×C32—42no—
436C2×C32—42no—
437C2×C32—41no—
438C2×C32C42×D311yescharacteristic
439C2×C32D3×C22⋊C412yes—
440C2×C32D3×C22⋊C411yescharacteristic
441C2×C32D3×C4⋊C412yes—
442C2×C32D3×C4⋊C411yescharacteristic
443C2×C32C2×C4×Dic311yescharacteristic
444C2×C32C2×Dic3⋊C412yes—
445C2×C32C2×C4⋊Dic311yescharacteristic
446C2×C32C2×(C2×D3)⋊C412yes—
447C2×C32C2×#21711yescharacteristic
448C2×C32C2×C3×C4211yescharacteristic
449C2×C32C2×C3×C22⋊C412yes—
450C2×C32C2×C3×C22⋊C411yescharacteristic
451C2×C32C2×C3×C4⋊C412yes—
452C2×C32C2×C3×C4⋊C411yescharacteristic
453C3×D3—28no—
454C3×D3C3⋊#9518yesdirect product factor
455C3×D3C3×#9518yescomplemented
456C24—31no—
457C22×C4—32no—
458C22×C4—31no—
459C22×C4—34no—
460C22×C4—64no—
461C22×C4—98no—
462C22×C4—92no—
463C22×C4—184no—
464C22×C4—184no—
465C22×C4C3×D3211yescharacteristic
466C22×C3—21no—
467C22×C3—21no—
468C22×C3—21no—
469C22×C3—22no—
470C22×C3—22no—
471C22×C3—22no—
472C22×C3—21no—
473C22×C3—21no—
474C22×C3—21no—
475C22×C3—21no—
476C22×C3—21no—
477C22×C3—21no—
478C22×C3—22no—
479C22×C3—22no—
480C22×C3—22no—
481C22×C3—38no—
482C22×C3—34no—
483C22×C3—38no—
484C22×C3—34no—
485C22×C3—34no—
486C22×C3—38no—
487C22×C3—34no—
488C22×C3—38no—
489C22×C3—34no—
490C22×C3—34no—
491C22×C3—41no—
492C22×C3—42no—
493C22×C3—41no—
494C22×C3—41no—
495C22×C3—42no—
496C22×C3—64no—
497C22×C3—64no—
498C22×C3—68no—
499C22×C3—64no—
500C22×C3—68no—
501C22×C3D3×Dic611yescharacteristic
502C22×C3C4×D3212yes—
503C22×C3D3×D1211yescharacteristic
504C22×C3C2×D3×Dic311yescharacteristic
505C22×C3D3×#6712yes—
506C22×C3C2×C3×Dic611yescharacteristic
507C22×C3C2×C3×C4×D312yes—
508C22×C3C2×C3×C4×D312yes—
509C22×C3C2×C3×C4×D311yescharacteristic
510C22×C3C2×C3×D1211yescharacteristic
511C22×C3C3×D3×D411yescharacteristic
512C22×C3C3×D3×D412yes—
513C22×C3C3×D3×Q811yescharacteristic
514C22×C3C22×C3×Dic311yescharacteristic
515C22×C3C2×C3×#6712yes—
516C2×D3C3×C4×Dic314yes—
517C2×D3C3×Dic3⋊C418yes—
518C2×D3C3×C4⋊Dic314yes—
519C2×D3C3×(C2×D3)⋊C418yes—
520C2×D3C3×#21714yes—
521C3×C4—24no—
522C3×C4—22no—
523C3×C4—22no—
524C3×C4—22no—
525C3×C4—42no—
526C3×C4—42no—
527C3×C4—44no—
528C3×C4—64no—
529C3×C4—62no—
530C3×C4—64no—
531C3×C4—64no—
532C3×C4—62no—
533C3×C4—124no—
534C3×C4—184no—
535Dic3—24no—
536Dic3—22no—
537Dic3—64no—
538Dic3—64no—
539Dic3—124no—
540C32—21no—
541C32—21no—
542C32—21no—
543C32—41no—
544C32D3×#9511yescharacteristic, complemented
545C32C2×C3⋊#9511yescharacteristic, complemented
546C32C2×C3×#9511yescharacteristic, complemented
547C23—32no—
548C23—34no—
549C23—32no—
550C23—32no—
551C23—34no—
552C23C2×C3×D3211yescharacteristic
553C2×C4—22no—
554C2×C4—34no—
555C2×C4—32no—
556C2×C4—68no—
557C2×C4—62no—
558C2×C4—62no—
559C2×C4—62no—
560C2×C4—94no—
561C2×C4—1816no—
562C2×C4—182no—
563C2×C4—182no—
564C2×C4C3×D3×Dic312yescomplemented
565C2×C3—21no—
566C2×C3—21no—
567C2×C3—21no—
568C2×C3—21no—
569C2×C3—21no—
570C2×C3—21no—
571C2×C3—22no—
572C2×C3—22no—
573C2×C3—22no—
574C2×C3—21no—
575C2×C3—21no—
576C2×C3—21no—
577C2×C3—22no—
578C2×C3—22no—
579C2×C3—22no—
580C2×C3—38no—
581C2×C3—38no—
582C2×C3—41no—
583C2×C3—41no—
584C2×C3—42no—
585C2×C3—41no—
586C2×C3—42no—
587C2×C3—68no—
588C2×C3C4×D3×Dic311yescharacteristic
589C2×C3D3×Dic3⋊C412yes—
590C2×C3D3×C4⋊Dic311yescharacteristic
591C2×C3D3×(C2×D3)⋊C412yes—
592C2×C3D3×#21711yescharacteristic
593C2×C3C3×C42×D311yescharacteristic
594C2×C3C3×D3×C22⋊C411yescharacteristic
595C2×C3C3×D3×C22⋊C412yes—
596C2×C3C3×D3×C4⋊C412yes—
597C2×C3C3×D3×C4⋊C411yescharacteristic
598C2×C3C2×C3×C4×Dic311yescharacteristic
599C2×C3C2×C3×Dic3⋊C412yes—
600C2×C3C2×C3×C4⋊Dic311yescharacteristic
601C2×C3C2×C3×(C2×D3)⋊C412yes—
602C2×C3C2×C3×#21711yescharacteristic
603D3C3×C3⋊#9518yesdirect product factor
604C22—34no—
605C22—34no—
606C22—38no—
607C22—34no—
608C22—38no—
609C22C3×D3×Dic611yescharacteristic
610C22C3×C4×D3212yes—
611C22C3×D3×D1211yescharacteristic
612C22C2×C3×D3×Dic311yescharacteristic
613C22C3×D3×#6712yes—
614C4—22no—
615C4—62no—
616C4—64no—
617C4—184no—
618C3—21no—
619C3—21no—
620C3—21no—
621C3—41no—
622C3D3×C3⋊#9511yescharacteristic, direct product factor
623C3C3×D3×#9511yescharacteristic, complemented
624C3C2×C3×C3⋊#9511yescharacteristic, complemented
625C2—38no—
626C2C3×C4×D3×Dic311yescharacteristic
627C2C3×D3×Dic3⋊C412yes—
628C2C3×D3×C4⋊Dic311yescharacteristic
629C2C3×D3×(C2×D3)⋊C412yes—
630C2C3×D3×#21711yescharacteristic
subgroupG/H
centerC23×C3C2×D32
commutatorC2×C32C2×C3×C42
FrattiniC23C2×C3×D32
FittingC22×C33×C4C22
socleC23×C33C23
prime radicalC23×C32×D3C22
cosocleC23×C32C23×C3
hypercenterC22×C3×C4D32
hypocenterC32C2×C3×#95
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C23×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
3. C3×#63658C2semidirect
4. C32×C3⋊#95C2semidirect
5. C3×#63579C2semidirect
8. D3×C3⋊#95C3direct (N × H)
15. C2×C32×C4×D3C4semidirect
18. C2×C3×D3×Dic3C4semidirect
27. #63658C2×C3semidirect
34. C3×C3⋊#95D3direct (N × H)
35. C3×C3⋊#95C2×C3semidirect
36. #63579C2×C3semidirect
44. C2×C33×C4C2×C4semidirect
47. C2×C3×C3⋊Dic3C2×C4semidirect
51. C2×C32×Dic3C2×C4semidirect
52. C2×C32×Dic3C2×C4semidirect
93. C2×C3×C4×D3Dic3semidirect
94. C2×C3×C4×D3C3×C4semidirect
97. C2×D3×Dic3C3×C4semidirect
129. C3⋊#95C3×D3direct (N × H)
174. C2×C32×C4C4×D3semidirect
175. C2×C32×C4C2×Dic3semidirect
176. C2×C32×C4C2×C3×C4semidirect
179. C2×C3⋊Dic3C2×C3×C4semidirect
201. C2×C3×Dic3C4×D3semidirect
202. C2×C3×Dic3C2×Dic3semidirect
203. C2×C3×Dic3C2×C3×C4semidirect
204. C2×C3×Dic3C2×C3×C4semidirect
216. C32×D3#95semidirect
256. C2×C4×D3C3×Dic3semidirect
336. C33C2×#95semidirect
397. C2×C3×C4D3×Dic3semidirect
398. C2×C3×C4C3×C4×D3semidirect
399. C2×C3×C4C2×C3×Dic3semidirect
413. C2×Dic3C3×C4×D3semidirect
414. C2×Dic3C2×C3×Dic3semidirect
454. C3×D3C3⋊#95direct (N × H)
455. C3×D3C3×#95semidirect
544. C32D3×#95semidirect
545. C32C2×C3⋊#95semidirect
546. C32C2×C3×#95semidirect
564. C2×C4C3×D3×Dic3semidirect
603. D3C3×C3⋊#95direct (N × H)
622. C3D3×C3⋊#95direct (N × H)
623. C3C3×D3×#95semidirect
624. C3C2×C3×C3⋊#95semidirect

Maximal subgroups

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

subgroupindex
C22×C32×C4×D32
C22×C3×D3×Dic32
C3×#636582
C32×C3⋊#952
C3×#635792
C2×C3×C3⋊#953
C3×D3×#953
D3×C3⋊#953