Finite Group Databasebeta

← C3×#10595147 #13174708

Subgroups — C3×#10595147 #13174708

Order 1728.

1450 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
1C2×C32×#237C211yesmaximal, characteristic
2C2×C3×D3×Dic6C211yesmaximal, characteristic, complemented
3C3×#64145C211yesmaximal, characteristic, complemented
4C32×#936C211yesmaximal, characteristic, complemented
5C3×#63969C214yesmaximal, complemented
6C3×#63964C214yesmaximal, complemented
7C3×#63873C211yesmaximal, characteristic, complemented
8C3×#63866C211yesmaximal, characteristic, complemented
9C3×#63855C211yesmaximal, characteristic, complemented
10C3×#5825—31nomaximal
11C3×#5675—31nomaximal
12#10595147C311yesmaximal, characteristic, direct product factor
13C2×C33×D4C2211yescharacteristic
14C2×C3×#634C2211yescharacteristic
15C2×C32×#67C2212yes—
16C22×C32×Dic3C2212yes—
17C32×#237—24no—
18C2×C32×C4×D3C2211yescharacteristic
19C2×C32×Dic6C2211yescharacteristic
20C2×C32×Dic6C2211yescharacteristic
21C2×C3×#627C2212yes—
22C2×C3×D3×Dic3C2212yes—
23C3×D3×Dic6—24no—
24C3×#3757C2214yes—
25C3×C4×C3⋊Dic3C2211yescharacteristic
26C32×#217C2214yes—
27C32×C4×Dic3C2211yescharacteristic
28C3×#3724C2214yes—
29C3×Dic3⋊Dic3C2212yes—
30C3×Dic3⋊Dic3C2214yes—
31C3×(C2×D3)⋊Dic3C2212yes—
32C2×C32×#41—31no—
33C2×C3×D3×Q8—31no—
34C2×C3×#237—21no—
35C2×C3×#237D311yescharacteristic
36C2×C3×#237C2×C311yescharacteristic
37C22×C3×Dic6—31no—
38C2×D3×Dic6C2×C311yescharacteristic, complemented
39C32×#124—31no—
40#64145C2×C311yescharacteristic, complemented
41C3×#944—31no—
42C3×#944—31no—
43C3×#944—31no—
44C3×#936—21no—
45C3×#936—31no—
46C3×#936—31no—
47C3×#936—61no—
48C3×#936D311yescharacteristic, complemented
49C3×#936C2×C311yescharacteristic, complemented
50C3×#935—34no—
51C3×#926—31no—
52C3×#924—34no—
53C3×#883—34no—
54C3×#878—34no—
55C3×#872—31no—
56C3×#869—31no—
57#63969C2×C314yescomplemented
58#63964C2×C314yescomplemented
59#63873C2×C311yescharacteristic, complemented
60#63866C2×C311yescharacteristic, complemented
61#63855C2×C311yescharacteristic, complemented
62C23×C33C2312yes—
63C22×C32×D3C2311yescharacteristic
64C33×D4—22no—
65C2×C33×C4C2311yescharacteristic
66C2×C3×C3⋊Dic3C2312yes—
67C2×C3×C3⋊Dic3C2312yes—
68C3×#634—22no—
69C32×#67—24no—
70C2×C32×Dic3—24no—
71C2×C32×Dic3C2312yes—
72C2×C32×Dic3C2312yes—
73C2×C32×Dic3C2312yes—
74C2×C32×Dic3C2311yescharacteristic
75C32×C4×D3D414yes—
76C32×Dic6—22no—
77C32×Dic6—22no—
78C3×#627—24no—
79C3×D3×Dic3—24no—
80C3×#536—91no—
81#5825—31no—
82#5675—31no—
83C32×#41—64no—
84C2×C32×Q8—31no—
85C2×C32×Q8—31no—
86C2×C32×D4—21no—
87C2×C32×D4—21no—
88C2×C32×D4—21no—
89C2×C32×D4—32no—
90C2×C32×D4—41no—
91C2×C32×D4C2×D311yescharacteristic
92C2×C32×D4C2×D311yescharacteristic
93C2×C32×D4C22×C311yescharacteristic
94C22×C32×C4—31no—
95C22×C32×C4—32no—
96C2×#634C22×C311yescharacteristic
97C2×C3×#67—22no—
98C2×C3×#67C2×D312yes—
99C2×C3×#67C22×C312yes—
100C22×C3×Dic3—22no—
101C22×C3×Dic3—32no—
102C22×C3×Dic3C2×D312yes—
103C22×C3×Dic3C22×C312yes—
104C3×D3×Q8—64no—
105C3×#237—28no—
106C3×#237—24no—
107C3×#237—24no—
108C2×C3×C4×D3—21no—
109C2×C3×C4×D3—32no—
110C2×C3×C4×D3C2×D311yescharacteristic
111C2×C3×C4×D3C22×C311yescharacteristic
112C2×C3×Dic6—21no—
113C2×C3×Dic6—21no—
114C2×C3×Dic6—31no—
115C2×C3×Dic6—31no—
116C2×C3×Dic6—32no—
117C2×C3×Dic6—32no—
118C2×C3×Dic6—64no—
119C2×C3×Dic6—61no—
120C2×C3×Dic6C2×D311yescharacteristic
121C2×C3×Dic6C2×D311yescharacteristic
122C2×C3×Dic6C22×C311yescharacteristic
123C2×C3×Dic6C22×C311yescharacteristic
124C2×#627C22×C312yes—
125C2×D3×Dic3C22×C312yes—
126D3×Dic6—24no—
127C32×C22⋊C4—34no—
128C32×C42—31no—
129#3757C22×C314yes—
130C4×C3⋊Dic3C22×C311yescharacteristic
131C3×#217—24no—
132C3×#217—34no—
133C3×#217—34no—
134C3×#217—32no—
135C3×#217—64no—
136C3×#217C2×D314yes—
137C3×#217C22×C314yes—
138C3×(C2×D3)⋊C4—32no—
139C3×C4⋊Dic3—34no—
140C3×C4⋊Dic3—32no—
141C3×Dic3⋊C4—32no—
142C3×Dic3⋊C4—34no—
143C3×Dic3⋊C4—34no—
144C3×Dic3⋊C4—34no—
145C3×C4×Dic3—21no—
146C3×C4×Dic3—31no—
147C3×C4×Dic3—31no—
148C3×C4×Dic3—61no—
149C3×C4×Dic3C2×D311yescharacteristic
150C3×C4×Dic3C22×C311yescharacteristic
151#3724C22×C314yes—
152Dic3⋊Dic3C22×C312yes—
153Dic3⋊Dic3C22×C314yes—
154(C2×D3)⋊Dic3C22×C312yes—
155C22×C33—22no—
156C22×C33—24no—
157C22×C33C2411yescharacteristic
158C2×C32×D3—22no—
159C2×C32×D3C2×D412yes—
160C33×C4C2×D412yes—
161C3×C3⋊Dic3—22no—
162C3×C3⋊Dic3—22no—
163C32×Dic3—22no—
164C32×Dic3—22no—
165C32×Dic3—22no—
166C32×Dic3C2×D412yes—
167C2×C3×#41—31no—
168C2×C3×#41—31no—
169C2×C3×#41—61no—
170C22×C3×Q8—91no—
171C2×D3×Q8—31no—
172C2×#237C3×D311yescharacteristic
173C22×Dic6—31no—
174C3×C4⋊Q8—91no—
175C3×C4⋊Q8—91no—
176C3×#124—31no—
177C3×#124—31no—
178C3×#124—61no—
179C3×#124—91no—
180C3×#123—94no—
181C3×C22⋊Q8—94no—
182C3×#117—91no—
183#944—31no—
184#944—31no—
185#944—31no—
186#936—31no—
187#936—31no—
188#936—61no—
189#936C3×D311yescharacteristic, complemented
190#935—34no—
191#926—31no—
192#924—34no—
193#883—34no—
194#878—34no—
195#872—31no—
196#869—31no—
197C23×C32—22no—
198C23×C32—22no—
199C23×C32—22no—
200C23×C32—31no—
201C23×C32—42no—
202C23×C32C22×D312yes—
203C23×C32C22×D312yes—
204C23×C32C23×C312yes—
205C22×C3×D3—21no—
206C22×C3×D3C22×D311yescharacteristic
207C22×C3×D3C23×C311yescharacteristic
208C32×Q8—62no—
209C32×Q8—62no—
210C32×D4—22no—
211C32×D4—24no—
212C32×D4—22no—
213C32×D4—22no—
214C32×D4—42no—
215C32×D4—42no—
216C32×D4—44no—
217C32×D4—64no—
218C2×C32×C4—21no—
219C2×C32×C4—21no—
220C2×C32×C4—21no—
221C2×C32×C4—31no—
222C2×C32×C4—34no—
223C2×C32×C4—32no—
224C2×C32×C4—32no—
225C2×C32×C4—32no—
226C2×C32×C4—41no—
227C2×C32×C4—64no—
228C2×C32×C4C22×D311yescharacteristic
229C2×C32×C4C22×D311yescharacteristic
230C2×C32×C4C23×C311yescharacteristic
231C2×C3⋊Dic3C23×C312yes—
232C2×C3⋊Dic3C23×C312yes—
233#634—22no—
234C3×#67—28no—
235C3×#67—24no—
236C3×#67—24no—
237C2×C3×Dic3—28no—
238C2×C3×Dic3—24no—
239C2×C3×Dic3—24no—
240C2×C3×Dic3—22no—
241C2×C3×Dic3—21no—
242C2×C3×Dic3—22no—
243C2×C3×Dic3—22no—
244C2×C3×Dic3—32no—
245C2×C3×Dic3—32no—
246C2×C3×Dic3—32no—
247C2×C3×Dic3—32no—
248C2×C3×Dic3—62no—
249C2×C3×Dic3—62no—
250C2×C3×Dic3—64no—
251C2×C3×Dic3C22×D312yes—
252C2×C3×Dic3C22×D312yes—
253C2×C3×Dic3C22×D312yes—
254C2×C3×Dic3C22×D311yescharacteristic
255C2×C3×Dic3C23×C312yes—
256C2×C3×Dic3C23×C312yes—
257C2×C3×Dic3C23×C312yes—
258C2×C3×Dic3C23×C311yescharacteristic
259C3×C4×D3—24no—
260C3×C4×D3—64no—
261C3×C4×D3#6714yes—
262C3×C4×D3C3×D414yes—
263C3×Dic6—24no—
264C3×Dic6—22no—
265C3×Dic6—22no—
266C3×Dic6—22no—
267C3×Dic6—22no—
268C3×Dic6—42no—
269C3×Dic6—64no—
270C3×Dic6—62no—
271C3×Dic6—62no—
272C3×Dic6—64no—
273C3×Dic6—122no—
274#627—24no—
275D3×Dic3—24no—
276#536—91noSylow
277C2×C33—42no—
278C2×C33C22×D411yescharacteristic
279C2×C332−1+412yes—
280C32×D3—22no—
281C3×#41—64no—
282C3×#41—64no—
283C3×#41—68no—
284C2×C3×Q8—31no—
285C2×C3×Q8—31no—
286C2×C3×Q8—31no—
287C2×C3×Q8—31no—
288C2×C3×Q8—61no—
289C2×C3×Q8—61no—
290C2×C3×Q8—92no—
291C2×C3×Q8—91no—
292C2×C3×Q8—184no—
293C2×C3×D4—21no—
294C2×C3×D4—21no—
295C2×C3×D4—21no—
296C2×C3×D4—32no—
297C2×C3×D4—32no—
298C2×C3×D4—41no—
299C2×C3×D4—62no—
300C2×C3×D4D3211yescharacteristic
301C2×C3×D4C2×C3×D311yescharacteristic
302C2×C3×D4C2×C3×D311yescharacteristic
303C22×C3×C4—31no—
304C22×C3×C4—31no—
305C22×C3×C4—32no—
306C22×C3×C4—32no—
307C22×C3×C4—61no—
308C22×C3×C4—62no—
309C22×C3×C4—92no—
310C2×#67C2×C3×D312yes—
311C22×Dic3—32no—
312C22×Dic3C2×C3×D312yes—
313D3×Q8—64no—
314#237—24no—
315C2×C4×D3—32no—
316C2×C4×D3C2×C3×D311yescharacteristic
317C2×Dic6—31no—
318C2×Dic6—31no—
319C2×Dic6—32no—
320C2×Dic6—32no—
321C2×Dic6—61no—
322C2×Dic6—64no—
323C2×Dic6C2×C3×D311yescharacteristic
324C2×Dic6C2×C3×D311yescharacteristic
325C3×C4⋊C4—94no—
326C3×C4⋊C4—92no—
327C3×C4⋊C4—94no—
328C3×C22⋊C4—34no—
329C3×C22⋊C4—34no—
330C3×C22⋊C4—64no—
331C3×C22⋊C4—92no—
332C3×C22⋊C4—94no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—61no—
336C3×C42—91no—
337#217—34no—
338#217—34no—
339#217—32no—
340#217—64no—
341#217C2×C3×D314yes—
342(C2×D3)⋊C4—32no—
343C4⋊Dic3—34no—
344C4⋊Dic3—32no—
345Dic3⋊C4—32no—
346Dic3⋊C4—34no—
347Dic3⋊C4—34no—
348Dic3⋊C4—34no—
349C4×Dic3—31no—
350C4×Dic3—31no—
351C4×Dic3—61no—
352C4×Dic3C2×C3×D311yescharacteristic
353C22×C32—22no—
354C22×C32—24no—
355C22×C32—24no—
356C22×C32—24no—
357C22×C32—22no—
358C22×C32—22no—
359C22×C32—24no—
360C22×C32—21no—
361C22×C32—21no—
362C22×C32—21no—
363C22×C32—32no—
364C22×C32—41no—
365C22×C32—42no—
366C22×C32—42no—
367C22×C32—44no—
368C22×C32—44no—
369C22×C32—44no—
370C22×C32—44no—
371C22×C32—62no—
372C22×C32—84no—
373C22×C32C23×D311yescharacteristic
374C22×C32C23×D311yescharacteristic
375C22×C32C24×C311yescharacteristic
376C2×C3×D3—22no—
377C2×C3×D3—22no—
378C2×C3×D3—22no—
379C2×C3×D3—42no—
380C2×C3×D3C2×#6712yes—
381C2×C3×D3C2×C3×D412yes—
382C32×C4—22no—
383C32×C4—22no—
384C32×C4—22no—
385C32×C4—32no—
386C32×C4—42no—
387C32×C4—62no—
388C32×C4—62no—
389C32×C4—62no—
390C32×C4D3×D412yes—
391C32×C4C2×#6712yes—
392C32×C4C2×C3×D412yes—
393C3⋊Dic3—22no—
394C3⋊Dic3—22no—
395C3×Dic3—24no—
396C3×Dic3—22no—
397C3×Dic3—22no—
398C3×Dic3—22no—
399C3×Dic3—22no—
400C3×Dic3—22no—
401C3×Dic3—22no—
402C3×Dic3—22no—
403C3×Dic3—42no—
404C3×Dic3—42no—
405C3×Dic3—62no—
406C3×Dic3—62no—
407C3×Dic3—62no—
408C3×Dic3—62no—
409C3×Dic3—122no—
410C3×Dic3—122no—
411C3×Dic3C2×#6712yes—
412C3×Dic3C2×C3×D412yes—
413C2×#41—31no—
414C22×Q8—91no—
415C4⋊Q8—91no—
416C4⋊Q8—91no—
417#124—31no—
418#124—91no—
419#123—94no—
420C22⋊Q8—94no—
421#117—91no—
422C33#53611yescharacteristic, complemented, Sylow
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—31no—
427C23×C3—31no—
428C23×C3—42no—
429C23×C3—61no—
430C23×C3C2×D3212yes—
431C23×C3C22×C3×D312yes—
432C23×C3C22×C3×D312yes—
433C22×D3C22×C3×D311yescharacteristic
434C3×Q8—64no—
435C3×Q8—62no—
436C3×Q8—62no—
437C3×Q8—62no—
438C3×Q8—62no—
439C3×Q8—122no—
440C3×Q8—184no—
441C3×Q8—182no—
442C3×D4—24no—
443C3×D4—22no—
444C3×D4—22no—
445C3×D4—22no—
446C3×D4—42no—
447C3×D4—42no—
448C3×D4—44no—
449C3×D4—64no—
450C3×D4—64no—
451C3×D4—68no—
452C2×C3×C4—21no—
453C2×C3×C4—21no—
454C2×C3×C4—21no—
455C2×C3×C4—31no—
456C2×C3×C4—31no—
457C2×C3×C4—34no—
458C2×C3×C4—34no—
459C2×C3×C4—32no—
460C2×C3×C4—32no—
461C2×C3×C4—32no—
462C2×C3×C4—32no—
463C2×C3×C4—32no—
464C2×C3×C4—32no—
465C2×C3×C4—41no—
466C2×C3×C4—64no—
467C2×C3×C4—61no—
468C2×C3×C4—62no—
469C2×C3×C4—62no—
470C2×C3×C4—62no—
471C2×C3×C4—64no—
472C2×C3×C4—64no—
473C2×C3×C4—68no—
474C2×C3×C4—92no—
475C2×C3×C4—92no—
476C2×C3×C4—184no—
477C2×C3×C4C2×D3211yescharacteristic
478C2×C3×C4C22×C3×D311yescharacteristic
479C2×C3×C4C22×C3×D311yescharacteristic
480#67—24no—
481C2×Dic3—24no—
482C2×Dic3—32no—
483C2×Dic3—32no—
484C2×Dic3—32no—
485C2×Dic3—32no—
486C2×Dic3—62no—
487C2×Dic3—62no—
488C2×Dic3—64no—
489C2×Dic3C22×C3×D312yes—
490C2×Dic3C22×C3×D312yes—
491C2×Dic3C22×C3×D312yes—
492C2×Dic3C22×C3×D311yescharacteristic
493C4×D3—64no—
494C4×D3C3×#6714yes—
495Dic6—22no—
496Dic6—22no—
497Dic6—64no—
498Dic6—62no—
499Dic6—62no—
500Dic6—64no—
501Dic6—122no—
502C2×C32—22no—
503C2×C32—21no—
504C2×C32—21no—
505C2×C32—22no—
506C2×C32—22no—
507C2×C32—21no—
508C2×C32—41no—
509C2×C32—42no—
510C2×C32—42no—
511C2×C32—44no—
512C2×C32—42no—
513C2×C32—42no—
514C2×C32—62no—
515C2×C32—82no—
516C2×C32—82no—
517C2×C32—84no—
518C2×C32C2×D3×D411yescharacteristic
519C2×C32#101012yes—
520C2×C32#101012yes—
521C2×C32C22×#6711yescharacteristic
522C2×C32C22×C3×D411yescharacteristic
523C2×C32C3×2−1+412yes—
524C3×D3—22no—
525C3×D3—22no—
526C3×D3—42no—
527#41—64no—
528C2×Q8—31no—
529C2×Q8—31no—
530C2×Q8—92no—
531C2×Q8—91no—
532C2×Q8—184no—
533C2×D4—32no—
534C2×D4C3×D3211yescharacteristic
535C22×C4—31no—
536C22×C4—32no—
537C22×C4—92no—
538C4⋊C4—92no—
539C4⋊C4—94no—
540C4⋊C4—94no—
541C22⋊C4—34no—
542C22⋊C4—92no—
543C22⋊C4—94no—
544C42—31no—
545C42—91no—
546C22×C3—24no—
547C22×C3—24no—
548C22×C3—22no—
549C22×C3—22no—
550C22×C3—24no—
551C22×C3—24no—
552C22×C3—22no—
553C22×C3—21no—
554C22×C3—21no—
555C22×C3—21no—
556C22×C3—32no—
557C22×C3—32no—
558C22×C3—44no—
559C22×C3—42no—
560C22×C3—42no—
561C22×C3—44no—
562C22×C3—44no—
563C22×C3—44no—
564C22×C3—41no—
565C22×C3—62no—
566C22×C3—62no—
567C22×C3—62no—
568C22×C3—84no—
569C22×C3—122no—
570C22×C3C22×D3211yescharacteristic
571C22×C3C23×C3×D311yescharacteristic
572C22×C3C23×C3×D311yescharacteristic
573C2×D3—22no—
574C2×D3C2×C3×#6712yes—
575C3×C4—22no—
576C3×C4—22no—
577C3×C4—22no—
578C3×C4—32no—
579C3×C4—32no—
580C3×C4—42no—
581C3×C4—62no—
582C3×C4—64no—
583C3×C4—62no—
584C3×C4—62no—
585C3×C4—62no—
586C3×C4—62no—
587C3×C4—62no—
588C3×C4—62no—
589C3×C4—122no—
590C3×C4—122no—
591C3×C4—182no—
592C3×C4—182no—
593C3×C4D3×#6712yes—
594C3×C4C3×D3×D412yes—
595C3×C4C2×C3×#6712yes—
596Dic3—22no—
597Dic3—22no—
598Dic3—22no—
599Dic3—62no—
600Dic3—62no—
601Dic3—62no—
602Dic3—62no—
603Dic3—122no—
604Dic3—122no—
605Dic3C2×C3×#6712yes—
606C32—21no—
607C32—21no—
608C32—21no—
609C32—41no—
610C32#567511yescharacteristic, complemented
611C32#582511yescharacteristic, complemented
612C32C3×#53611yescharacteristic, complemented
613C23—31no—
614C23C2×C3×D3212yes—
615Q8—62no—
616Q8—62no—
617Q8—184no—
618Q8—182no—
619D4—22no—
620D4—64no—
621C2×C4—31no—
622C2×C4—34no—
623C2×C4—32no—
624C2×C4—32no—
625C2×C4—32no—
626C2×C4—64no—
627C2×C4—92no—
628C2×C4—92no—
629C2×C4—184no—
630C2×C4C2×C3×D3211yescharacteristic
631C2×C3—21no—
632C2×C3—21no—
633C2×C3—21no—
634C2×C3—22no—
635C2×C3—22no—
636C2×C3—22no—
637C2×C3—44no—
638C2×C3—42no—
639C2×C3—42no—
640C2×C3—42no—
641C2×C3—41no—
642C2×C3—42no—
643C2×C3—62no—
644C2×C3—62no—
645C2×C3—82no—
646C2×C3—82no—
647C2×C3—84no—
648C2×C3—122no—
649C2×C3#6430912yes—
650C2×C3C2×D3×#6711yescharacteristic
651C2×C3C2×C3×D3×D411yescharacteristic
652C2×C3C3×#101012yes—
653C2×C3C3×#101012yes—
654C2×C3C22×C3×#6711yescharacteristic
655D3—22no—
656C22—22no—
657C22—24no—
658C22—32no—
659C22—62no—
660C22C22×C3×D3211yescharacteristic
661C4—32no—
662C4—62no—
663C4—62no—
664C4—62no—
665C4—182no—
666C4—182no—
667C4C3×D3×#6712yes—
668C3—21no—
669C3—21no—
670C3—21no—
671C3—41no—
672C3#1059514711yescharacteristic, direct product factor
673C3C3×#567511yescharacteristic, complemented
674C3C3×#582511yescharacteristic, complemented
675C2—42no—
676C2—62no—
677C2C3×#6430912yes—
678C2C2×C3×D3×#6711yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC2×C33×D4C22
socleC22×C33C24
prime radicalC2×C32×#237C2
hypercenterC2×C3×D4D32
hypocenterC32C3×#536
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×D4

Complements

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

NH ≅ G/Ntype
2. C2×C3×D3×Dic6C2semidirect
3. C3×#64145C2semidirect
4. C32×#936C2semidirect
5. C3×#63969C2semidirect
6. C3×#63964C2semidirect
7. C3×#63873C2semidirect
8. C3×#63866C2semidirect
9. C3×#63855C2semidirect
12. #10595147C3direct (N × H)
38. C2×D3×Dic6C2×C3semidirect
40. #64145C2×C3semidirect
48. C3×#936D3semidirect
49. C3×#936C2×C3semidirect
57. #63969C2×C3semidirect
58. #63964C2×C3semidirect
59. #63873C2×C3semidirect
60. #63866C2×C3semidirect
61. #63855C2×C3semidirect
189. #936C3×D3semidirect
422. C33#536semidirect
610. C32#5675semidirect
611. C32#5825semidirect
612. C32C3×#536semidirect
672. C3#10595147direct (N × H)
673. C3C3×#5675semidirect
674. C3C3×#5825semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#2372
C2×C3×D3×Dic62
C3×#641452
C32×#9362
C3×#639692
C3×#639642
C3×#638732
C3×#638662
C3×#638552
C3×#58253
C3×#56753
#105951473