Finite Group Databasebeta

← C3×#86367 #11905883

Subgroups — C3×#86367 #11905883

Order 1152.

3131 conjugacy classes of subgroups.

The subgroup lattice has 665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1010C212yesmaximal, complemented
2C32×#537C211yesmaximal, characteristic, complemented
3C3×#5832C212yesmaximal, complemented
4C3×#5633C214yesmaximal, complemented
5C3×#5632C214yesmaximal, complemented
6C3×#5599C214yesmaximal, complemented
7C3×#5598C214yesmaximal, complemented
8C3×#5597C214yesmaximal, complemented
9C3×#5596C214yesmaximal, complemented
10C3×#5510C211yesmaximal, characteristic, complemented
11C2×C3×#887C211yesmaximal, characteristic, complemented
12C3×#3497—31nomaximal
13#86367C311yesmaximal, characteristic, direct product factor
14C2×C32×#41C2212yes—
15C3×#1010—216no—
16C2×C3×D3×Q8C2214yes—
17C2×C3×#237C2218yes—
18C2×C3×#237C2214yes—
19C2×C3×#235C2212yes—
20C2×C3×#235C2214yes—
21C22×C3×Dic6C2214yes—
22C22×C3×Dic6C2211yescharacteristic
23C32×C22⋊Q8C2214yes—
24C32×#121C2214yes—
25C32×#121C2214yes—
26C2×C32×C4⋊C4C2211yescharacteristic
27C3×#947C2212yes—
28C3×#944C2212yes—
29C3×#940C2212yes—
30C3×#940C2214yes—
31C3×#939C2214yes—
32C3×#939C2214yes—
33C3×#939C2218yes—
34C3×#936C2212yes—
35C3×D4×Dic3C2214yes—
36C3×#930C2214yes—
37C3×C4×#67C2214yes—
38C3×C4×#67C2214yes—
39C2×C3×Dic3⋊C4C2212yes—
40C2×C3×C4×Dic3C2211yescharacteristic
41C2×C3×C4×Dic3C2212yes—
42C3×#897C2214yes—
43C3×#896C2218yes—
44C3×#895C2214yes—
45C3×#893C2214yes—
46C3×#888C2214yes—
47C3×#887C2214yes—
48C3×#887C2214yes—
49C3×#885C2218yes—
50C3×#884C2218yes—
51C3×#67⋊C4C2218yes—
52C3×#878C2218yes—
53C2×C3×2−1+4—32no—
54C2×#1010C2×C312yescomplemented
55C3×#550—34no—
56C3×D4×Q8—34no—
57C3×#548—34no—
58C3×#548—34no—
59C3×#537—21no—
60C3×#537—34no—
61C3×#537—31no—
62C3×#537D311yescharacteristic, complemented
63C3×#537C2×C311yescharacteristic, complemented
64C3×#532—32no—
65C3×#532—34no—
66C2×C3×C4×Q8—31no—
67#5832C2×C312yescomplemented
68#5633C2×C314yescomplemented
69#5632C2×C314yescomplemented
70#5599C2×C314yescomplemented
71#5598C2×C314yescomplemented
72#5597C2×C314yescomplemented
73#5596C2×C314yescomplemented
74#5510C2×C311yescharacteristic, complemented
75C2×#887C2×C311yescharacteristic, complemented
76C32×#41—28no—
77C2×C32×Q8C2312yes—
78C2×C32×D4C2312yes—
79C2×C32×D4C2314yes—
80C2×C32×D4C2314yes—
81C22×C32×C4C2314yes—
82C22×C32×C4C2312yes—
83C22×C32×C4C2311yescharacteristic
84C2×C3×#67C2314yes—
85C2×C3×#67C2318yes—
86C2×C3×#67C2314yes—
87C2×C3×#67C2314yes—
88C22×C3×Dic3C2318yes—
89C22×C3×Dic3C2311yescharacteristic
90C22×C3×Dic3C2311yescharacteristic
91C22×C3×Dic3C2312yes—
92C3×D3×Q8—216no—
93C3×#237—232no—
94C3×#237—216no—
95C3×#235—28no—
96C3×#235—216no—
97C2×C3×D12C2312yes—
98C2×C3×D12C2314yes—
99C2×C3×C4×D3C2318yes—
100C2×C3×C4×D3C2314yes—
101C2×C3×Dic6—216no—
102C2×C3×Dic6D418yescomplemented
103C2×C3×Dic6C2318yes—
104C2×C3×Dic6C2312yes—
105C2×C3×Dic6C2314yes—
106C32×C4⋊C4C2314yes—
107C32×C4⋊C4C2314yes—
108C32×C22⋊C4C2318yes—
109C3×#217C2314yes—
110C3×#217C2314yes—
111C3×(C2×D3)⋊C4C2318yes—
112C3×(C2×D3)⋊C4C2314yes—
113C3×(C2×D3)⋊C4C2314yes—
114C3×C4⋊Dic3C2314yes—
115C3×Dic3⋊C4C2314yes—
116C3×Dic3⋊C4C2318yes—
117C3×Dic3⋊C4C2314yes—
118C3×C4×Dic3C2314yes—
119C3×C4×Dic3C2314yes—
120C3×C4×Dic3C2312yes—
121C3×C4×Dic3C2312yes—
122#3497—31noSylow
123C3×2−1+4—616no—
124C2×C3×#41—22no—
125C2×C3×#41—38no—
126C2×C3×#41—34no—
127C2×C3×#41—32no—
128C2×C3×#41—34no—
129C2×C3×#41C2×D312yes—
130C2×C3×#41C22×C312yes—
131C22×C3×Q8—34no—
132C22×C3×Q8—31no—
133C22×C3×Q8—34no—
134#1010—216no—
135C2×D3×Q8C22×C314yes—
136C2×#237C22×C318yes—
137C2×#237C22×C314yes—
138C2×#235C22×C314yes—
139C2×#235C22×C312yes—
140C22×Dic6C22×C314yes—
141C22×Dic6C22×C311yescharacteristic
142C3×C4⋊Q8—32no—
143C3×C4⋊Q8—34no—
144C3×#127—34no—
145C3×#127—32no—
146C3×#124—32no—
147C3×#124—32no—
148C3×#124—38no—
149C3×C22⋊Q8—24no—
150C3×C22⋊Q8—38no—
151C3×C22⋊Q8—34no—
152C3×C22⋊Q8—38no—
153C3×C22⋊Q8C2×D314yes—
154C3×C22⋊Q8C22×C314yes—
155C3×#121—24no—
156C3×#121—24no—
157C3×#121—34no—
158C3×#121—34no—
159C3×#121—38no—
160C3×#121—34no—
161C3×#121—34no—
162C3×#121—38no—
163C3×#121C2×D314yes—
164C3×#121C2×D314yes—
165C3×#121C22×C314yes—
166C3×#121C22×C314yes—
167C3×C4×Q8—34no—
168C3×C4×Q8—34no—
169C3×C4×D4—34no—
170C3×C4×D4—34no—
171C3×C4×D4—34no—
172C3×C4×D4—34no—
173C3×C4×D4—38no—
174C2×C3×C4⋊C4—21no—
175C2×C3×C4⋊C4—32no—
176C2×C3×C4⋊C4C2×D311yescharacteristic
177C2×C3×C4⋊C4C22×C311yescharacteristic
178C2×C3×C42—32no—
179C2×C3×C42—31no—
180#947C22×C312yes—
181#944C22×C312yes—
182#940C22×C312yes—
183#940C22×C314yes—
184#939C22×C314yes—
185#939C22×C314yes—
186#939C22×C318yes—
187#936C22×C312yes—
188D4×Dic3C22×C314yes—
189#930C22×C314yes—
190C4×#67C22×C314yes—
191C4×#67C22×C314yes—
192C2×Dic3⋊C4C22×C312yes—
193C2×C4×Dic3C22×C311yescharacteristic
194C2×C4×Dic3C22×C312yes—
195#897C22×C314yes—
196#896C22×C318yes—
197#895C22×C314yes—
198#893C22×C314yes—
199#888C22×C314yes—
200#887C22×C314yes—
201#887C22×C314yes—
202#885C22×C318yes—
203#884C22×C318yes—
204#67⋊C4C22×C318yes—
205#878C22×C318yes—
206C23×C32C2414yes—
207C23×C32C2411yescharacteristic
208C22×C3×D3C2414yes—
209C32×Q8—24no—
210C32×D4—28no—
211C32×D4—24no—
212C32×D4—44no—
213C2×C32×C4—28no—
214C2×C32×C4—42no—
215C2×C32×C4C2×D414yes—
216C2×C32×C4C2414yes—
217C2×C32×C4C2414yes—
218C2×C32×C4C2412yes—
219C3×#67—28no—
220C3×#67—216no—
221C3×#67—28no—
222C3×#67—44no—
223C2×C3×Dic3—216no—
224C2×C3×Dic3—22no—
225C2×C3×Dic3—41no—
226C2×C3×Dic3C2×D418yes—
227C2×C3×Dic3C2411yescharacteristic
228C2×C3×Dic3C2412yes—
229C2×C3×Dic3C2414yes—
230C2×C3×Dic3C2414yes—
231C2×C3×Dic3C2411yescharacteristic
232C3×D12—24no—
233C3×D12—44no—
234C3×C4×D3—28no—
235C3×C4×D3—216no—
236C3×Dic6—24no—
237C3×Dic6—216no—
238C3×Dic6C2×D4116yes—
239C2×2−1+4—32no—
240#550—34no—
241D4×Q8—34no—
242#548—34no—
243#548—34no—
244#537—34no—
245#537—31no—
246#537C3×D311yescharacteristic, complemented
247#532—32no—
248#532—34no—
249C2×C4×Q8—31no—
250C3×#41—28no—
251C3×#41—28no—
252C3×#41—48no—
253C3×#41—616no—
254C3×#41—632no—
255C3×#41—616no—
256C3×#41—68no—
257C2×C3×Q8—22no—
258C2×C3×Q8—38no—
259C2×C3×Q8—34no—
260C2×C3×Q8—38no—
261C2×C3×Q8—32no—
262C2×C3×Q8—616no—
263C2×C3×Q8—616no—
264C2×C3×Q8C22×D312yes—
265C2×C3×Q8C23×C312yes—
266C2×C3×D4—24no—
267C2×C3×D4—22no—
268C2×C3×D4—24no—
269C2×C3×D4—34no—
270C2×C3×D4—34no—
271C2×C3×D4—38no—
272C2×C3×D4—34no—
273C2×C3×D4—32no—
274C2×C3×D4—34no—
275C2×C3×D4C22×D314yes—
276C2×C3×D4C22×D312yes—
277C2×C3×D4C22×D314yes—
278C2×C3×D4C23×C312yes—
279C2×C3×D4C23×C314yes—
280C2×C3×D4C23×C314yes—
281C22×C3×C4—21no—
282C22×C3×C4—24no—
283C22×C3×C4—22no—
284C22×C3×C4—32no—
285C22×C3×C4—31no—
286C22×C3×C4—38no—
287C22×C3×C4—31no—
288C22×C3×C4—38no—
289C22×C3×C4—34no—
290C22×C3×C4C22×D314yes—
291C22×C3×C4C22×D312yes—
292C22×C3×C4C22×D311yescharacteristic
293C22×C3×C4C23×C314yes—
294C22×C3×C4C23×C312yes—
295C22×C3×C4C23×C311yescharacteristic
296C2×#67C23×C314yes—
297C2×#67C23×C318yes—
298C2×#67C23×C314yes—
299C2×#67C23×C314yes—
300C22×Dic3C23×C318yes—
301C22×Dic3C23×C311yescharacteristic
302C22×Dic3C23×C311yescharacteristic
303C22×Dic3C23×C312yes—
304D3×Q8—216no—
305#237—232no—
306#237—216no—
307#235—28no—
308#235—216no—
309C2×D12C23×C312yes—
310C2×D12C23×C314yes—
311C2×C4×D3C23×C318yes—
312C2×C4×D3C23×C314yes—
313C2×Dic6—216no—
314C2×Dic6C3×D418yescomplemented
315C2×Dic6C23×C318yes—
316C2×Dic6C23×C312yes—
317C2×Dic6C23×C314yes—
318C3×C4⋊C4—24no—
319C3×C4⋊C4—24no—
320C3×C4⋊C4—38no—
321C3×C4⋊C4—34no—
322C3×C4⋊C4—34no—
323C3×C4⋊C4—34no—
324C3×C4⋊C4C22×D314yes—
325C3×C4⋊C4C22×D314yes—
326C3×C4⋊C4C23×C314yes—
327C3×C4⋊C4C23×C314yes—
328C3×C22⋊C4—28no—
329C3×C22⋊C4—34no—
330C3×C22⋊C4—34no—
331C3×C22⋊C4—34no—
332C3×C22⋊C4—34no—
333C3×C22⋊C4—38no—
334C3×C22⋊C4C22×D318yes—
335C3×C22⋊C4C23×C318yes—
336C3×C42—34no—
337C3×C42—32no—
338C3×C42—34no—
339C3×C42—32no—
340#217C23×C314yes—
341#217C23×C314yes—
342(C2×D3)⋊C4C23×C318yes—
343(C2×D3)⋊C4C23×C314yes—
344(C2×D3)⋊C4C23×C314yes—
345C4⋊Dic3C23×C314yes—
346Dic3⋊C4C23×C314yes—
347Dic3⋊C4C23×C318yes—
348Dic3⋊C4C23×C314yes—
349C4×Dic3C23×C314yes—
350C4×Dic3C23×C314yes—
351C4×Dic3C23×C312yes—
352C4×Dic3C23×C312yes—
353C22×C32—21no—
354C22×C32—21no—
355C22×C32—24no—
356C22×C32—24no—
357C22×C32—24no—
358C22×C32C22×D412yes—
359C22×C32C2511yescharacteristic
360C2×C3×D3—24no—
361C2×C3×D3—24no—
362C2×C3×D3—24no—
363C32×C4—24no—
364C32×C4—24no—
365C32×C4C22×D414yes—
366C3×Dic3—24no—
367C3×Dic3—21no—
368C3×Dic3—22no—
369C3×Dic3C22×D418yes—
370C3×Dic32−1+412yescomplemented
3712−1+4—616no—
372C2×#41—38no—
373C2×#41—34no—
374C2×#41—32no—
375C2×#41—34no—
376C2×#41C2×C3×D312yes—
377C22×Q8—34no—
378C22×Q8—31no—
379C22×Q8—34no—
380C4⋊Q8—32no—
381C4⋊Q8—34no—
382#127—34no—
383#127—32no—
384#124—32no—
385#124—32no—
386#124—38no—
387C22⋊Q8—38no—
388C22⋊Q8—34no—
389C22⋊Q8—38no—
390C22⋊Q8C2×C3×D314yes—
391#121—34no—
392#121—34no—
393#121—38no—
394#121—34no—
395#121—34no—
396#121—38no—
397#121C2×C3×D314yes—
398#121C2×C3×D314yes—
399C4×Q8—34no—
400C4×Q8—34no—
401C4×D4—34no—
402C4×D4—34no—
403C4×D4—34no—
404C4×D4—34no—
405C4×D4—38no—
406C2×C4⋊C4—32no—
407C2×C4⋊C4C2×C3×D311yescharacteristic
408C2×C42—32no—
409C2×C42—31no—
410C23×C3—21no—
411C23×C3—24no—
412C23×C3—34no—
413C23×C3C23×D314yes—
414C23×C3C23×D311yescharacteristic
415C23×C3C24×C314yes—
416C23×C3C24×C311yescharacteristic
417C22×D3C24×C314yes—
418C3×Q8—24no—
419C3×Q8—24no—
420C3×Q8—316no—
421C3×Q8—44no—
422C3×Q8—616no—
423C3×Q8—64no—
424C3×D4—28no—
425C3×D4—28no—
426C3×D4—24no—
427C3×D4—24no—
428C3×D4—44no—
429C3×D4—48no—
430C3×D4—44no—
431C3×D4—44no—
432C3×D4—68no—
433C3×D4—616no—
434C3×D4—68no—
435C3×D4—64no—
436C3×D4—84no—
437C3×D4—124no—
438C3×D4—124no—
439C2×C3×C4—28no—
440C2×C3×C4—28no—
441C2×C3×C4—22no—
442C2×C3×C4—24no—
443C2×C3×C4—24no—
444C2×C3×C4—24no—
445C2×C3×C4—38no—
446C2×C3×C4—31no—
447C2×C3×C4—34no—
448C2×C3×C4—31no—
449C2×C3×C4—32no—
450C2×C3×C4—34no—
451C2×C3×C4—48no—
452C2×C3×C4—42no—
453C2×C3×C4—42no—
454C2×C3×C4—616no—
455C2×C3×C4—62no—
456C2×C3×C4—616no—
457C2×C3×C4—68no—
458C2×C3×C4—82no—
459C2×C3×C4—121no—
460C2×C3×C4D3×D414yes—
461C2×C3×C4C2×C3×D414yes—
462C2×C3×C4C23×D314yes—
463C2×C3×C4C23×D314yes—
464C2×C3×C4C23×D312yes—
465C2×C3×C4C24×C314yes—
466C2×C3×C4C24×C314yes—
467C2×C3×C4C24×C312yes—
468#67—28no—
469#67—216no—
470#67—28no—
471#67—44no—
472C2×Dic3—216no—
473C2×Dic3—22no—
474C2×Dic3—41no—
475C2×Dic3C2×C3×D418yes—
476C2×Dic3C24×C311yescharacteristic
477C2×Dic3C24×C312yes—
478C2×Dic3C24×C314yes—
479C2×Dic3C24×C314yes—
480C2×Dic3C24×C311yescharacteristic
481D12—24no—
482D12—44no—
483C4×D3—28no—
484C4×D3—216no—
485Dic6—24no—
486Dic6—216no—
487Dic6C2×C3×D4116yes—
488C2×C32—22no—
489C2×C32—44no—
490C2×C32C23×D411yescharacteristic
491C2×C32C2×2−1+411yescharacteristic
492C2×C32#58511yescharacteristic
493C3×D3—44no—
494#41—28no—
495#41—616no—
496#41—632no—
497#41—616no—
498#41—68no—
499C2×Q8—34no—
500C2×Q8—38no—
501C2×Q8—32no—
502C2×Q8—38no—
503C2×Q8—616no—
504C2×Q8—616no—
505C2×Q8C22×C3×D312yes—
506C2×D4—34no—
507C2×D4—34no—
508C2×D4—38no—
509C2×D4—34no—
510C2×D4—32no—
511C2×D4—34no—
512C2×D4C22×C3×D314yes—
513C2×D4C22×C3×D312yes—
514C2×D4C22×C3×D314yes—
515C22×C4—32no—
516C22×C4—31no—
517C22×C4—38no—
518C22×C4—31no—
519C22×C4—38no—
520C22×C4—34no—
521C22×C4C22×C3×D314yes—
522C22×C4C22×C3×D312yes—
523C22×C4C22×C3×D311yescharacteristic
524C4⋊C4—38no—
525C4⋊C4—34no—
526C4⋊C4—34no—
527C4⋊C4—34no—
528C4⋊C4C22×C3×D314yes—
529C4⋊C4C22×C3×D314yes—
530C22⋊C4—34no—
531C22⋊C4—34no—
532C22⋊C4—34no—
533C22⋊C4—34no—
534C22⋊C4—38no—
535C22⋊C4C22×C3×D318yes—
536C42—34no—
537C42—32no—
538C42—34no—
539C42—32no—
540C22×C3—21no—
541C22×C3—21no—
542C22×C3—21no—
543C22×C3—21no—
544C22×C3—24no—
545C22×C3—24no—
546C22×C3—24no—
547C22×C3—24no—
548C22×C3—24no—
549C22×C3—24no—
550C22×C3—22no—
551C22×C3—21no—
552C22×C3—41no—
553C22×C3—41no—
554C22×C3—44no—
555C22×C3—44no—
556C22×C3—44no—
557C22×C3—64no—
558C22×C3—64no—
559C22×C3—64no—
560C22×C3C2×D3×D412yes—
561C22×C3C22×C3×D412yes—
562C22×C3C24×D311yescharacteristic
563C22×C3C25×C311yescharacteristic
564C2×D3—24no—
565C2×D3—24no—
566C2×D3—24no—
567C3×C4—24no—
568C3×C4—24no—
569C3×C4—24no—
570C3×C4—24no—
571C3×C4—24no—
572C3×C4—38no—
573C3×C4—32no—
574C3×C4—44no—
575C3×C4—44no—
576C3×C4—64no—
577C3×C4—62no—
578C3×C4—61no—
579C3×C4C2×D3×D414yes—
580C3×C4C22×C3×D414yes—
581Dic3—24no—
582Dic3—21no—
583Dic3—22no—
584Dic3C22×C3×D418yes—
585Dic3C3×2−1+412yescomplemented
586C32#349711yescharacteristic, complemented, Sylow
587C23—34no—
588C23C23×C3×D314yes—
589C23C23×C3×D311yescharacteristic
590Q8—24no—
591Q8—316no—
592Q8—616no—
593Q8—64no—
594D4—28no—
595D4—24no—
596D4—44no—
597D4—616no—
598D4—68no—
599D4—68no—
600D4—64no—
601D4—124no—
602D4—124no—
603C2×C4—28no—
604C2×C4—38no—
605C2×C4—31no—
606C2×C4—34no—
607C2×C4—31no—
608C2×C4—32no—
609C2×C4—34no—
610C2×C4—42no—
611C2×C4—616no—
612C2×C4—616no—
613C2×C4—62no—
614C2×C4—68no—
615C2×C4—121no—
616C2×C4C3×D3×D414yes—
617C2×C4C23×C3×D314yes—
618C2×C4C23×C3×D314yes—
619C2×C4C23×C3×D312yes—
620C2×C3—22no—
621C2×C3—22no—
622C2×C3—21no—
623C2×C3—21no—
624C2×C3—21no—
625C2×C3—42no—
626C2×C3—44no—
627C2×C3—44no—
628C2×C3—84no—
629C2×C3—124no—
630C2×C3C22×D3×D411yescharacteristic
631C2×C3#596611yescharacteristic
632C2×C3D3×2−1+411yescharacteristic
633C2×C3C23×C3×D411yescharacteristic
634C2×C3C2×C3×2−1+411yescharacteristic
635C2×C3C3×#58511yescharacteristic
636D3—44no—
637C22—21no—
638C22—21no—
639C22—24no—
640C22—24no—
641C22—24no—
642C22—64no—
643C22—64no—
644C22—64no—
645C22C2×C3×D3×D412yes—
646C22C24×C3×D311yescharacteristic
647C4—24no—
648C4—24no—
649C4—38no—
650C4—32no—
651C4—64no—
652C4—62no—
653C4—61no—
654C4C2×C3×D3×D414yes—
655C3—21no—
656C3#8636711yescharacteristic, direct product factor
657C3C3×#349711yescharacteristic, complemented
658C2—22no—
659C2—44no—
660C2—124no—
661C2C22×C3×D3×D411yescharacteristic
662C2C3×#596611yescharacteristic
663C2C3×D3×2−1+411yescharacteristic
subgroupG/H
centerC22×C3C24×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC32×#537C2
socleC22×C32C25
hypercenterC3×#537D3
hypocenterC3C3×#3497
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×#537

Complements

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

NH ≅ G/Ntype
1. C2×C3×#1010C2semidirect
2. C32×#537C2semidirect
3. C3×#5832C2semidirect
4. C3×#5633C2semidirect
5. C3×#5632C2semidirect
6. C3×#5599C2semidirect
7. C3×#5598C2semidirect
8. C3×#5597C2semidirect
9. C3×#5596C2semidirect
10. C3×#5510C2semidirect
11. C2×C3×#887C2semidirect
13. #86367C3direct (N × H)
54. C2×#1010C2×C3semidirect
62. C3×#537D3semidirect
63. C3×#537C2×C3semidirect
67. #5832C2×C3semidirect
68. #5633C2×C3semidirect
69. #5632C2×C3semidirect
70. #5599C2×C3semidirect
71. #5598C2×C3semidirect
72. #5597C2×C3semidirect
73. #5596C2×C3semidirect
74. #5510C2×C3semidirect
75. C2×#887C2×C3semidirect
102. C2×C3×Dic6D4semidirect
246. #537C3×D3semidirect
314. C2×Dic6C3×D4semidirect
370. C3×Dic32−1+4semidirect
585. Dic3C3×2−1+4semidirect
586. C32#3497semidirect
656. C3#86367direct (N × H)
657. C3C3×#3497semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10102
C32×#5372
C3×#58322
C3×#56332
C3×#56322
C3×#55992
C3×#55982
C3×#55972
C3×#55962
C3×#55102
C2×C3×#8872
C3×#34973
#863673