Finite Group Databasebeta

← C3×#10595042 #13174625

Subgroups — C3×#10595042 #13174625

Order 1728.

1866 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3828C211yesmaximal, characteristic, complemented
2C22×C32×D12C211yesmaximal, characteristic, complemented
3C32×#926C211yesmaximal, characteristic, complemented
4C3×#63977C214yesmaximal, complemented
5C3×#63916C214yesmaximal, complemented
6C3×#63911C212yesmaximal, complemented
7C3×#63860C212yesmaximal, complemented
8C3×#5805—31nomaximal
9C3×#5525—31nomaximal
10#10595042C311yesmaximal, characteristic, direct product factor
11C23×C32×D3C2212yes—
12C22×C33×C4C2211yescharacteristic
13C2×C3×#638C2212yes—
14C3×#3828—24no—
15C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
16C2×C3×C4×C3⋊D3C2212yescomplemented
17C2×C3×#634C2211yescharacteristic, complemented
18C2×C32×D12—24no—
19C2×C32×D12C2212yes—
20C2×C32×D12C2212yes—
21C2×C3×#626C2218yescomplemented
22C32×#217C2212yes—
23C32×C4⋊Dic3C2212yescomplemented
24C32×C4×Dic3C2212yescomplemented
25C3×(C2×D3)⋊Dic3C2218yescomplemented
26C22×C32×D4—31no—
27C2×#3828C2×C311yescharacteristic, complemented
28C2×C3×#235—31no—
29C2×C3×#235—31no—
30C2×C3×#235—61no—
31C22×C3×D12—21no—
32C22×C3×D12D311yescharacteristic, complemented
33C22×C3×D12C2×C311yescharacteristic, complemented
34C32×#117—31no—
35C3×#953—34no—
36C3×#940—32no—
37C3×#938—34no—
38C3×#936—32no—
39C3×#926—21no—
40C3×#926D311yescharacteristic, complemented
41C3×#926C2×C311yescharacteristic, complemented
42C3×#895—34no—
43C3×#882—34no—
44C3×#875—32no—
45C3×#874—32no—
46#63977C2×C314yescomplemented
47#63916C2×C314yescomplemented
48#63911C2×C312yescomplemented
49#63860C2×C312yescomplemented
50C23×C33C2311yescharacteristic
51C22×C3×C3⋊D3C2312yes—
52C22×C32×D3—24no—
53C22×C32×D3—44no—
54C22×C32×D3C2314yes—
55C2×C33×C4D414yescomplemented
56C2×C33×C4C2311yescharacteristic
57C2×C33×C4C2311yescharacteristic
58C3×#638—24no—
59C2×C3×C3⋊Dic3C2312yes—
60C3×C4⋊(C3⋊D3)—22no—
61C3×C4×C3⋊D3—24no—
62C3×#634—22no—
63C2×C32×Dic3C2314yes—
64C32×D12—24no—
65C32×D12—24no—
66C3×#626—48no—
67C3×#535—91no—
68#5805—31no—
69#5525—31no—
70C24×C32—32no—
71C23×C3×D3—22no—
72C23×C3×D3C2×D312yes—
73C23×C3×D3C22×C312yes—
74C2×C32×D4—32no—
75C2×C32×D4—32no—
76C2×C32×D4—64no—
77C22×C32×C4—21no—
78C22×C32×C4—21no—
79C22×C32×C4—21no—
80C22×C32×C4—41no—
81C22×C32×C4C2×D311yescharacteristic
82C22×C32×C4C2×D311yescharacteristic
83C22×C32×C4C22×C311yescharacteristic
84C2×#638C22×C312yes—
85#3828—24no—
86C2×C4⋊(C3⋊D3)C22×C311yescharacteristic, complemented
87C2×C4×C3⋊D3C22×C312yescomplemented
88C2×#634C22×C311yescharacteristic, complemented
89C2×C3×#67—32no—
90C2×C3×#67—32no—
91C2×C3×#67—38no—
92C2×C3×#67—62no—
93C3×#235—68no—
94C3×#235—64no—
95C3×#235—64no—
96C2×C3×D12—28no—
97C2×C3×D12—22no—
98C2×C3×D12—22no—
99C2×C3×D12—24no—
100C2×C3×D12—24no—
101C2×C3×D12—31no—
102C2×C3×D12—31no—
103C2×C3×D12—38no—
104C2×C3×D12—61no—
105C2×C3×D12C2×D312yes—
106C2×C3×D12C2×D312yes—
107C2×C3×D12C22×C312yes—
108C2×C3×D12C22×C312yes—
109C2×C3×C4×D3—32no—
110C2×C3×C4×D3—32no—
111C2×C3×C4×D3—62no—
112C2×C3×Dic6—31no—
113C2×C3×Dic6—31no—
114C2×C3×Dic6—61no—
115C2×#626C22×C318yescomplemented
116C32×C4⋊C4—32no—
117C32×C22⋊C4—32no—
118C32×C42—32no—
119C3×#217—22no—
120C3×#217—38no—
121C3×#217C2×D312yes—
122C3×#217C22×C312yes—
123C3×(C2×D3)⋊C4—38no—
124C3×C4⋊Dic3—22no—
125C3×C4⋊Dic3C2×D312yescomplemented
126C3×C4⋊Dic3C22×C312yescomplemented
127C3×C4×Dic3—22no—
128C3×C4×Dic3C2×D312yescomplemented
129C3×C4×Dic3C22×C312yescomplemented
130(C2×D3)⋊Dic3C22×C318yescomplemented
131C22×C33—22no—
132C22×C33C2×D412yes—
133C22×C33C2411yescharacteristic
134C2×C3×C3⋊D3—22no—
135C2×C3×C3⋊D3—24no—
136C2×C32×D3—24no—
137C2×C32×D3—28no—
138C2×C32×D3—48no—
139C33×C4C2×D412yes—
140C33×C4C2×D412yes—
141C3×C3⋊Dic3—22no—
142C32×Dic3—24no—
143C2×C3×#41—91no—
144C22×C3×D4—31no—
145C22×C3×D4—31no—
146C22×C3×D4—61no—
147C2×#235—31no—
148C2×#235—31no—
149C2×#235—61no—
150C22×D12C3×D311yescharacteristic, complemented
151C3×#127—92no—
152C3×#124—92no—
153C3×#121—94no—
154C3×#120—94no—
155C3×#117—31no—
156C3×#117—31no—
157C3×#117—61no—
158#953—34no—
159#940—32no—
160#938—34no—
161#936—32no—
162#926C3×D311yescharacteristic, complemented
163#895—34no—
164#882—34no—
165#875—32no—
166#874—32no—
167C23×C32—21no—
168C23×C32—21no—
169C23×C32—21no—
170C23×C32—34no—
171C23×C32—41no—
172C23×C32—64no—
173C23×C32—124no—
174C23×C32C22×D311yescharacteristic
175C23×C32C22×D311yescharacteristic
176C23×C32C23×C311yescharacteristic
177C22×C3⋊D3C23×C312yes—
178C22×C3×D3—28no—
179C22×C3×D3—24no—
180C22×C3×D3—24no—
181C22×C3×D3—24no—
182C22×C3×D3—32no—
183C22×C3×D3—32no—
184C22×C3×D3—44no—
185C22×C3×D3—44no—
186C22×C3×D3—48no—
187C22×C3×D3—62no—
188C22×C3×D3C22×D314yes—
189C22×C3×D3C23×C314yes—
190C32×D4—64no—
191C32×D4—64no—
192C2×C32×C4—24no—
193C2×C32×C4—24no—
194C2×C32×C4—24no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C32×C4—21no—
198C2×C32×C4—21no—
199C2×C32×C4—21no—
200C2×C32×C4—21no—
201C2×C32×C4—34no—
202C2×C32×C4—44no—
203C2×C32×C4—41no—
204C2×C32×C4—41no—
205C2×C32×C4D1214yescomplemented
206C2×C32×C4#6714yescomplemented
207C2×C32×C4C3×D414yescomplemented
208C2×C32×C4C22×D311yescharacteristic
209C2×C32×C4C22×D311yescharacteristic
210C2×C32×C4C22×D311yescharacteristic
211C2×C32×C4C22×D311yescharacteristic
212C2×C32×C4C23×C311yescharacteristic
213C2×C32×C4C23×C311yescharacteristic
214#638—24no—
215C2×C3⋊Dic3C23×C312yes—
216C4⋊(C3⋊D3)—22no—
217C4×C3⋊D3—24no—
218#634—22no—
219C3×#67—68no—
220C3×#67—64no—
221C3×#67—64no—
222C3×#67—128no—
223C2×C3×Dic3—24no—
224C2×C3×Dic3—32no—
225C2×C3×Dic3—32no—
226C2×C3×Dic3—62no—
227C2×C3×Dic3C22×D314yes—
228C2×C3×Dic3C23×C314yes—
229C3×D12—28no—
230C3×D12—28no—
231C3×D12—24no—
232C3×D12—24no—
233C3×D12—24no—
234C3×D12—24no—
235C3×D12—64no—
236C3×D12—62no—
237C3×D12—62no—
238C3×D12—128no—
239C3×C4×D3—68no—
240C3×C4×D3—64no—
241C3×C4×D3—64no—
242C3×Dic6—64no—
243C3×Dic6—62no—
244C3×Dic6—62no—
245#626—48no—
246#535—91noSylow
247C2×C33—22no—
248C2×C33C22×D411yescharacteristic
249C2×C33H(5,𝔽2)12yes—
250C3×C3⋊D3—42no—
251C32×D3—44no—
252C24×C3—32no—
253C24×C3—32no—
254C24×C3—62no—
255C23×D3C2×C3×D312yes—
256C3×#41—184no—
257C2×C3×Q8—91no—
258C2×C3×D4—32no—
259C2×C3×D4—32no—
260C2×C3×D4—32no—
261C2×C3×D4—32no—
262C2×C3×D4—62no—
263C2×C3×D4—62no—
264C2×C3×D4—68no—
265C2×C3×D4—64no—
266C2×C3×D4—64no—
267C2×C3×D4—98no—
268C2×C3×D4—92no—
269C2×C3×D4—91no—
270C22×C3×C4—21no—
271C22×C3×C4—21no—
272C22×C3×C4—21no—
273C22×C3×C4—41no—
274C22×C3×C4—92no—
275C22×C3×C4D3211yescharacteristic
276C22×C3×C4C2×C3×D311yescharacteristic
277C22×C3×C4C2×C3×D311yescharacteristic
278C2×#67—32no—
279C2×#67—32no—
280C2×#67—38no—
281C2×#67—62no—
282#235—68no—
283#235—64no—
284#235—64no—
285C2×D12—24no—
286C2×D12—31no—
287C2×D12—31no—
288C2×D12—38no—
289C2×D12—61no—
290C2×D12C2×C3×D312yes—
291C2×D12C2×C3×D312yes—
292C2×C4×D3—32no—
293C2×C4×D3—32no—
294C2×C4×D3—62no—
295C2×Dic6—31no—
296C2×Dic6—31no—
297C2×Dic6—61no—
298C3×C4⋊C4—32no—
299C3×C4⋊C4—32no—
300C3×C4⋊C4—62no—
301C3×C22⋊C4—32no—
302C3×C22⋊C4—32no—
303C3×C22⋊C4—62no—
304C3×C22⋊C4—98no—
305C3×C42—32no—
306C3×C42—32no—
307C3×C42—62no—
308#217—38no—
309#217C2×C3×D312yes—
310(C2×D3)⋊C4—38no—
311C4⋊Dic3C2×C3×D312yescomplemented
312C4×Dic3C2×C3×D312yescomplemented
313C22×C32—22no—
314C22×C32—24no—
315C22×C32—22no—
316C22×C32—22no—
317C22×C32—21no—
318C22×C32—21no—
319C22×C32—21no—
320C22×C32—22no—
321C22×C32—22no—
322C22×C32—22no—
323C22×C32—42no—
324C22×C32—41no—
325C22×C32—42no—
326C22×C32—42no—
327C22×C32—44no—
328C22×C32—64no—
329C22×C32—68no—
330C22×C32—128no—
331C22×C32C2×D1212yes—
332C22×C32C2×#6712yes—
333C22×C32C2×C3×D412yes—
334C22×C32C23×D311yescharacteristic
335C22×C32C23×D311yescharacteristic
336C22×C32C24×C311yescharacteristic
337C2×C3⋊D3—22no—
338C2×C3⋊D3—24no—
339C2×C3×D3—28no—
340C2×C3×D3—28no—
341C2×C3×D3—24no—
342C2×C3×D3—24no—
343C2×C3×D3—28no—
344C2×C3×D3—48no—
345C2×C3×D3—416no—
346C2×C3×D3—48no—
347C2×C3×D3—48no—
348C2×C3×D3—64no—
349C2×C3×D3—62no—
350C2×C3×D3—64no—
351C2×C3×D3—64no—
352C2×C3×D3—62no—
353C2×C3×D3—124no—
354C32×C4—22no—
355C32×C4—22no—
356C32×C4—22no—
357C32×C4—22no—
358C32×C4—22no—
359C32×C4—22no—
360C32×C4—42no—
361C32×C4—42no—
362C32×C4—64no—
363C32×C4C2×D1212yes—
364C32×C4C2×D1212yes—
365C32×C4C2×#6712yes—
366C32×C4C2×#6712yes—
367C32×C4C2×C3×D412yes—
368C32×C4C2×C3×D412yes—
369C3⋊Dic3—22no—
370C3×Dic3—24no—
371C3×Dic3—24no—
372C3×Dic3—44no—
373C3×Dic3—64no—
374C3×Dic3—62no—
375C3×Dic3—62no—
376C2×#41—91no—
377C22×D4—31no—
378#127—92no—
379#124—92no—
380#121—94no—
381#120—94no—
382#117—31no—
383C33#53511yescharacteristic, complemented, Sylow
384C23×C3—21no—
385C23×C3—21no—
386C23×C3—21no—
387C23×C3—34no—
388C23×C3—34no—
389C23×C3—41no—
390C23×C3—64no—
391C23×C3—68no—
392C23×C3—64no—
393C23×C3—64no—
394C23×C3—92no—
395C23×C3—124no—
396C23×C3—124no—
397C23×C3—128no—
398C23×C3C2×D3211yescharacteristic
399C23×C3C22×C3×D311yescharacteristic
400C23×C3C22×C3×D311yescharacteristic
401C22×D3—24no—
402C22×D3—32no—
403C22×D3—32no—
404C22×D3—44no—
405C22×D3—62no—
406C22×D3C22×C3×D314yes—
407C3×Q8—182no—
408C3×D4—68no—
409C3×D4—68no—
410C3×D4—64no—
411C3×D4—64no—
412C3×D4—64no—
413C3×D4—64no—
414C3×D4—184no—
415C3×D4—182no—
416C3×D4—368no—
417C2×C3×C4—24no—
418C2×C3×C4—24no—
419C2×C3×C4—24no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—34no—
427C2×C3×C4—34no—
428C2×C3×C4—44no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—64no—
432C2×C3×C4—92no—
433C2×C3×C4—184no—
434C2×C3×C4#62614yescomplemented
435C2×C3×C4C3×D1214yescomplemented
436C2×C3×C4C3×#6714yescomplemented
437C2×C3×C4C2×D3211yescharacteristic
438C2×C3×C4C2×D3211yescharacteristic
439C2×C3×C4C22×C3×D311yescharacteristic
440C2×C3×C4C22×C3×D311yescharacteristic
441C2×C3×C4C22×C3×D311yescharacteristic
442C2×C3×C4C22×C3×D311yescharacteristic
443#67—68no—
444#67—64no—
445#67—64no—
446#67—128no—
447C2×Dic3—32no—
448C2×Dic3—32no—
449C2×Dic3—62no—
450C2×Dic3C22×C3×D314yes—
451D12—24no—
452D12—24no—
453D12—64no—
454D12—62no—
455D12—62no—
456D12—128no—
457C4×D3—68no—
458C4×D3—64no—
459C4×D3—64no—
460Dic6—64no—
461Dic6—62no—
462Dic6—62no—
463C2×C32—22no—
464C2×C32—24no—
465C2×C32—22no—
466C2×C32—22no—
467C2×C32—22no—
468C2×C32—21no—
469C2×C32—21no—
470C2×C32—22no—
471C2×C32—22no—
472C2×C32—21no—
473C2×C32—41no—
474C2×C32—42no—
475C2×C32—42no—
476C2×C32—42no—
477C2×C32—44no—
478C2×C32—124no—
479C2×C32C22×D1211yescharacteristic
480C2×C32#100412yes—
481C2×C32#100912yes—
482C2×C32C22×#6711yescharacteristic
483C2×C32C22×C3×D411yescharacteristic
484C2×C32C3×H(5,𝔽2)12yes—
485C3⋊D3—42no—
486C3×D3—48no—
487C3×D3—44no—
488C3×D3—44no—
489C3×D3—124no—
490C3×D3—122no—
491C3×D3—122no—
492C24—32no—
493#41—184no—
494C2×Q8—91no—
495C2×D4—32no—
496C2×D4—32no—
497C2×D4—64no—
498C2×D4—98no—
499C2×D4—92no—
500C2×D4—91no—
501C22×C4—92no—
502C22×C4C3×D3211yescharacteristic
503C4⋊C4—32no—
504C22⋊C4—32no—
505C22⋊C4—98no—
506C42—32no—
507C22×C3—24no—
508C22×C3—22no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—22no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—42no—
518C22×C3—42no—
519C22×C3—44no—
520C22×C3—41no—
521C22×C3—42no—
522C22×C3—68no—
523C22×C3—68no—
524C22×C3—64no—
525C22×C3—64no—
526C22×C3—68no—
527C22×C3—128no—
528C22×C3—1216no—
529C22×C3—128no—
530C22×C3—128no—
531C22×C3—184no—
532C22×C3—182no—
533C22×C3C2×#62612yes—
534C22×C3C2×C3×D1212yes—
535C22×C3C2×C3×#6712yes—
536C22×C3C22×D3211yescharacteristic
537C22×C3C23×C3×D311yescharacteristic
538C22×C3C23×C3×D311yescharacteristic
539C2×D3—28no—
540C2×D3—24no—
541C2×D3—48no—
542C2×D3—64no—
543C2×D3—62no—
544C2×D3—64no—
545C2×D3—64no—
546C2×D3—62no—
547C2×D3—124no—
548C3×C4—22no—
549C3×C4—22no—
550C3×C4—22no—
551C3×C4—22no—
552C3×C4—22no—
553C3×C4—22no—
554C3×C4—42no—
555C3×C4—42no—
556C3×C4—64no—
557C3×C4—64no—
558C3×C4—124no—
559C3×C4—182no—
560C3×C4C2×#62612yes—
561C3×C4C2×#62612yes—
562C3×C4C2×C3×D1212yes—
563C3×C4C2×C3×D1212yes—
564C3×C4C2×C3×#6712yes—
565C3×C4C2×C3×#6712yes—
566Dic3—24no—
567Dic3—64no—
568Dic3—62no—
569Dic3—62no—
570C32—21no—
571C32—21no—
572C32—21no—
573C32—41no—
574C32#552511yescharacteristic, complemented
575C32#580511yescharacteristic, complemented
576C32C3×#53511yescharacteristic, complemented
577C23—34no—
578C23—64no—
579C23—92no—
580C23—124no—
581C23C2×C3×D3211yescharacteristic
582Q8—182no—
583D4—64no—
584D4—64no—
585D4—184no—
586D4—182no—
587D4—368no—
588C2×C4—34no—
589C2×C4—92no—
590C2×C4—184no—
591C2×C4C3×#62614yescomplemented
592C2×C4C2×C3×D3211yescharacteristic
593C2×C4C2×C3×D3211yescharacteristic
594C2×C3—24no—
595C2×C3—22no—
596C2×C3—22no—
597C2×C3—22no—
598C2×C3—21no—
599C2×C3—21no—
600C2×C3—21no—
601C2×C3—22no—
602C2×C3—22no—
603C2×C3—22no—
604C2×C3—42no—
605C2×C3—42no—
606C2×C3—44no—
607C2×C3—41no—
608C2×C3—42no—
609C2×C3—128no—
610C2×C3—124no—
611C2×C3—124no—
612C2×C3—362no—
613C2×C3#6430712yes—
614C2×C3C22×#62611yescharacteristic
615C2×C3C22×C3×D1211yescharacteristic
616C2×C3C3×#100412yes—
617C2×C3C3×#100912yes—
618C2×C3C22×C3×#6711yescharacteristic
619D3—44no—
620D3—124no—
621D3—122no—
622D3—122no—
623C22—22no—
624C22—64no—
625C22—68no—
626C22—128no—
627C22—182no—
628C22—184no—
629C22C2×C3×#62612yes—
630C22C22×C3×D3211yescharacteristic
631C4—64no—
632C4—182no—
633C4C2×C3×#62612yes—
634C4C2×C3×#62612yes—
635C3—21no—
636C3—21no—
637C3—21no—
638C3—41no—
639C3#1059504211yescharacteristic, direct product factor
640C3C3×#552511yescharacteristic, complemented
641C3C3×#580511yescharacteristic, complemented
642C2—22no—
643C2—124no—
644C2—362no—
645C2C3×#6430712yes—
646C2C22×C3×#62611yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C24
hypercenterC22×C3×C4D32
hypocenterC32C3×#535
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3828C2semidirect
2. C22×C32×D12C2semidirect
3. C32×#926C2semidirect
4. C3×#63977C2semidirect
5. C3×#63916C2semidirect
6. C3×#63911C2semidirect
7. C3×#63860C2semidirect
10. #10595042C3direct (N × H)
15. C2×C3×C4⋊(C3⋊D3)C22semidirect
16. C2×C3×C4×C3⋊D3C22semidirect
17. C2×C3×#634C22semidirect
21. C2×C3×#626C22semidirect
23. C32×C4⋊Dic3C22semidirect
24. C32×C4×Dic3C22semidirect
25. C3×(C2×D3)⋊Dic3C22semidirect
27. C2×#3828C2×C3semidirect
32. C22×C3×D12D3semidirect
33. C22×C3×D12C2×C3semidirect
40. C3×#926D3semidirect
41. C3×#926C2×C3semidirect
46. #63977C2×C3semidirect
47. #63916C2×C3semidirect
48. #63911C2×C3semidirect
49. #63860C2×C3semidirect
55. C2×C33×C4D4semidirect
86. C2×C4⋊(C3⋊D3)C22×C3semidirect
87. C2×C4×C3⋊D3C22×C3semidirect
88. C2×#634C22×C3semidirect
115. C2×#626C22×C3semidirect
125. C3×C4⋊Dic3C2×D3semidirect
126. C3×C4⋊Dic3C22×C3semidirect
128. C3×C4×Dic3C2×D3semidirect
129. C3×C4×Dic3C22×C3semidirect
130. (C2×D3)⋊Dic3C22×C3semidirect
150. C22×D12C3×D3semidirect
162. #926C3×D3semidirect
205. C2×C32×C4D12semidirect
206. C2×C32×C4#67semidirect
207. C2×C32×C4C3×D4semidirect
311. C4⋊Dic3C2×C3×D3semidirect
312. C4×Dic3C2×C3×D3semidirect
383. C33#535semidirect
434. C2×C3×C4#626semidirect
435. C2×C3×C4C3×D12semidirect
436. C2×C3×C4C3×#67semidirect
574. C32#5525semidirect
575. C32#5805semidirect
576. C32C3×#535semidirect
591. C2×C4C3×#626semidirect
639. C3#10595042direct (N × H)
640. C3C3×#5525semidirect
641. C3C3×#5805semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#38282
C22×C32×D122
C32×#9262
C3×#639772
C3×#639162
C3×#639112
C3×#638602
C3×#58053
C3×#55253
#105950423