Finite Group Databasebeta

← C2×C3×#3036 #10679017

Subgroups — C2×C3×#3036 #10679017

Order 768.

3242 conjugacy classes of subgroups.

The subgroup lattice has 572 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×AGL(1,ℤ/8)C212yesmaximal, complemented
2C2×C3×#532C211yesmaximal, characteristic, complemented
3C22×C3×C4×D4C211yesmaximal, characteristic, complemented
4C3×#3036C2116yesmaximal, direct product factor
5C2×C3×#463C214yesmaximal, complemented
6C2×C3×#461C212yesmaximal, complemented
7C2×C3×#459C212yesmaximal, complemented
8C2×C3×#423C211yesmaximal, characteristic, complemented
9C2×C3×#417C212yesmaximal, complemented
10C2×#3036C311yesmaximal, characteristic, direct product factor, Sylow
11C22×C3×#41C2212yes—
12C23×C3×D4C2211yescharacteristic
13C24×C3×C4—21no—
14C2×C3×AGL(1,ℤ/8)—216no—
15C2×C3×AGL(1,ℤ/8)C22116yescomplemented
16C22×C3×SD16C2214yes—
17C22×C3×D8C2214yes—
18C22×C3×M16C2212yes—
19C3×#532—24no—
20C3×#532C2218yescomplemented
21C2×C3×C4⋊Q8C2211yescharacteristic, complemented
22C2×C3×#127C2211yescharacteristic, complemented
23C2×C3×#124C2212yescomplemented
24C2×C3×#121—21no—
25C2×C3×#121—21no—
26C2×C3×C4×D4—21no—
27C2×C3×C4×D4—21no—
28C2×C3×C4×D4—24no—
29C2×C3×C4×D4—21no—
30C2×C3×C4×D4—21no—
31C2×C3×C4×D4C2212yes—
32C2×C3×C4×D4C2212yes—
33C2×C3×C4×D4C2218yescomplemented
34C22×C3×C4⋊C4C2211yescharacteristic
35C22×C3×C22⋊C4—21no—
36C22×C3×C42C2211yescharacteristic
37C3×#463C22132yescomplemented
38C3×#461C22116yescomplemented
39C3×#459C22116yescomplemented
40C3×#423C2218yescomplemented
41C2×C3×C4⋊C8C2212yescomplemented
42C2×C3×C4⋊C8C2212yescomplemented
43C3×#417C22116yescomplemented
44C2×C3×#103C2214yescomplemented
45C2×C3×#102C2214yescomplemented
46C22×AGL(1,ℤ/8)C2×C312yescomplemented
47C2×#532C2×C311yescharacteristic, complemented
48C22×C4×D4C2×C311yescharacteristic, complemented
49#3036C2×C3116yesdirect product factor
50C2×#463C2×C314yescomplemented
51C2×#461C2×C312yescomplemented
52C2×#459C2×C312yescomplemented
53C2×#423C2×C311yescharacteristic, complemented
54C2×#417C2×C312yescomplemented
55C25×C3—21no—
56C2×C3×#41—24no—
57C2×C3×#41—28no—
58C2×C3×#41—28no—
59C2×C3×#41C2318yes—
60C22×C3×Q8C2312yes—
61C22×C3×D4—22no—
62C22×C3×D4—22no—
63C22×C3×D4—21no—
64C22×C3×D4—21no—
65C22×C3×D4—21no—
66C22×C3×D4—24no—
67C22×C3×D4D418yescomplemented
68C22×C3×D4C2312yes—
69C22×C3×D4C2312yes—
70C22×C3×D4C2314yes—
71C23×C3×C4—21no—
72C23×C3×C4—22no—
73C23×C3×C4—22no—
74C23×C3×C4—28no—
75C23×C3×C4—22no—
76C23×C3×C4—48no—
77C23×C3×C4D411yescharacteristic
78C23×C3×C4D411yescharacteristic
79C23×C3×C4C2311yescharacteristic
80C3×AGL(1,ℤ/8)—264no—
81C2×C3×SD16—216no—
82C2×C3×SD16C23116yes—
83C2×C3×D8—216no—
84C2×C3×D8C23116yes—
85C2×C3×M16—28no—
86C2×C3×M16C2318yes—
87C22×C3×C8C2314yes—
88C3×C4⋊Q8—22no—
89C3×C4⋊Q8C2314yescomplemented
90C3×#127—22no—
91C3×#127C2314yescomplemented
92C3×#124—24no—
93C3×#124C2318yescomplemented
94C3×#121—28no—
95C3×#121—28no—
96C3×C4×D4—24no—
97C3×C4×D4—24no—
98C3×C4×D4—28no—
99C3×C4×D4—28no—
100C3×C4×D4—28no—
101C3×C4×D4—28no—
102C3×C4×D4C2318yes—
103C3×C4×D4C2318yes—
104C2×C3×C4⋊C4—22no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4—21no—
108C2×C3×C4⋊C4C2312yes—
109C2×C3×C4⋊C4C2314yes—
110C2×C3×C22⋊C4—22no—
111C2×C3×C22⋊C4—22no—
112C2×C3×C22⋊C4—28no—
113C2×C3×C22⋊C4—22no—
114C2×C3×C22⋊C4—22no—
115C2×C3×C42D411yescharacteristic
116C2×C3×C42D411yescharacteristic
117C2×C3×C42D414yes—
118C2×C3×C42C2311yescharacteristic
119C2×C3×C42C2311yescharacteristic
120C2×C3×C42C2314yes—
121C3×C4⋊C8C2318yescomplemented
122C3×C4⋊C8C2318yescomplemented
123C3×#103C23116yescomplemented
124C3×#102C23116yescomplemented
125C22×#41C22×C312yes—
126C23×D4C22×C311yescharacteristic
127C24×C4—21no—
128C2×AGL(1,ℤ/8)—216no—
129C2×AGL(1,ℤ/8)C22×C3116yescomplemented
130C22×SD16C22×C314yes—
131C22×D8C22×C314yes—
132C22×M16C22×C312yes—
133#532—24no—
134#532C22×C318yescomplemented
135C2×C4⋊Q8C22×C311yescharacteristic, complemented
136C2×#127C22×C311yescharacteristic, complemented
137C2×#124C22×C312yescomplemented
138C2×#121—21no—
139C2×#121—21no—
140C2×C4×D4—21no—
141C2×C4×D4—21no—
142C2×C4×D4—24no—
143C2×C4×D4—21no—
144C2×C4×D4—21no—
145C2×C4×D4C22×C312yes—
146C2×C4×D4C22×C312yes—
147C2×C4×D4C22×C318yescomplemented
148C22×C4⋊C4C22×C311yescharacteristic
149C22×C22⋊C4—21no—
150C22×C42C22×C311yescharacteristic
151#463C22×C3132yescomplemented
152#461C22×C3116yescomplemented
153#459C22×C3116yescomplemented
154#423C22×C318yescomplemented
155C2×C4⋊C8C22×C312yescomplemented
156C2×C4⋊C8C22×C312yescomplemented
157#417C22×C3116yescomplemented
158C2×#103C22×C314yescomplemented
159C2×#102C22×C314yescomplemented
160C24×C3—28no—
161C24×C3—24no—
162C24×C3—22no—
163C24×C3—22no—
164C24×C3—44no—
165C24×C3—44no—
166C24×C3C2×D411yescharacteristic
167C3×#41—216no—
168C3×#41—216no—
169C3×#41—416no—
170C2×C3×Q8—22no—
171C2×C3×Q8—24no—
172C2×C3×Q8—24no—
173C2×C3×Q8C2414yes—
174C2×C3×D4—28no—
175C2×C3×D4—28no—
176C2×C3×D4—216no—
177C2×C3×D4—24no—
178C2×C3×D4—22no—
179C2×C3×D4—24no—
180C2×C3×D4—24no—
181C2×C3×D4—24no—
182C2×C3×D4—22no—
183C2×C3×D4—24no—
184C2×C3×D4—28no—
185C2×C3×D4—24no—
186C2×C3×D4—44no—
187C2×C3×D4—48no—
188C2×C3×D4—44no—
189C2×C3×D4C2×D418yes—
190C2×C3×D4C2×D4116yescomplemented
191C2×C3×D4C2414yes—
192C2×C3×D4C2414yes—
193C22×C3×C4—24no—
194C22×C3×C4—24no—
195C22×C3×C4—22no—
196C22×C3×C4—22no—
197C22×C3×C4—28no—
198C22×C3×C4—28no—
199C22×C3×C4—28no—
200C22×C3×C4—42no—
201C22×C3×C4—48no—
202C22×C3×C4—432no—
203C22×C3×C4—44no—
204C22×C3×C4—48no—
205C22×C3×C4—48no—
206C22×C3×C4C2×D414yes—
207C22×C3×C4C2×D411yescharacteristic
208C22×C3×C4C2×D411yescharacteristic
209C22×C3×C4C2×D411yescharacteristic
210C22×C3×C4C2×D414yes—
211C22×C3×C4C2×D412yes—
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D414yes—
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4#4114yes—
216C22×C3×C4C2412yes—
217C22×C3×C4C2411yescharacteristic
218C3×SD16—232no—
219C3×D8—232no—
220C3×M16—216no—
221C2×C3×C8—28no—
222C2×C3×C8C2418yes—
223C3×C4⋊C4—24no—
224C3×C4⋊C4—22no—
225C3×C4⋊C4—24no—
226C3×C4⋊C4—24no—
227C3×C4⋊C4C2414yes—
228C3×C22⋊C4—28no—
229C3×C22⋊C4—28no—
230C3×C22⋊C4—28no—
231C3×C22⋊C4—28no—
232C3×C42C2×D414yes—
233C3×C42C2×D414yes—
234C3×C42C2×D412yes—
235C3×C42C2×D412yes—
236C3×C42C2412yes—
237C3×C42C2412yes—
238C25—21no—
239C2×#41—24no—
240C2×#41—28no—
241C2×#41—28no—
242C2×#41C23×C318yes—
243C22×Q8C23×C312yes—
244C22×D4—22no—
245C22×D4—21no—
246C22×D4—22no—
247C22×D4—21no—
248C22×D4—21no—
249C22×D4—24no—
250C22×D4C3×D418yescomplemented
251C22×D4C23×C312yes—
252C22×D4C23×C312yes—
253C22×D4C23×C314yes—
254C23×C4—21no—
255C23×C4—22no—
256C23×C4—22no—
257C23×C4—22no—
258C23×C4—28no—
259C23×C4—48no—
260C23×C4C3×D411yescharacteristic
261C23×C4C3×D411yescharacteristic
262C23×C4C23×C311yescharacteristic
263AGL(1,ℤ/8)—264no—
264C2×SD16—216no—
265C2×SD16C23×C3116yes—
266C2×D8—216no—
267C2×D8C23×C3116yes—
268C2×M16—28no—
269C2×M16C23×C318yes—
270C22×C8C23×C314yes—
271C4⋊Q8—22no—
272C4⋊Q8C23×C314yescomplemented
273#127—22no—
274#127C23×C314yescomplemented
275#124—24no—
276#124C23×C318yescomplemented
277#121—28no—
278#121—28no—
279C4×D4—24no—
280C4×D4—24no—
281C4×D4—28no—
282C4×D4—28no—
283C4×D4—28no—
284C4×D4—28no—
285C4×D4C23×C318yes—
286C4×D4C23×C318yes—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4C23×C312yes—
292C2×C4⋊C4C23×C314yes—
293C2×C22⋊C4—22no—
294C2×C22⋊C4—22no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—22no—
297C2×C22⋊C4—22no—
298C2×C42C3×D411yescharacteristic
299C2×C42C3×D411yescharacteristic
300C2×C42C3×D414yes—
301C2×C42C23×C311yescharacteristic
302C2×C42C23×C311yescharacteristic
303C2×C42C23×C314yes—
304C4⋊C8C23×C318yescomplemented
305C4⋊C8C23×C318yescomplemented
306#103C23×C3116yescomplemented
307#102C23×C3116yescomplemented
308C23×C3—22no—
309C23×C3—22no—
310C23×C3—28no—
311C23×C3—216no—
312C23×C3—24no—
313C23×C3—24no—
314C23×C3—48no—
315C23×C3—432no—
316C23×C3—48no—
317C23×C3—44no—
318C23×C3—44no—
319C23×C3—44no—
320C23×C3—44no—
321C23×C3—44no—
322C23×C3#12114yes—
323C23×C3C22×D412yes—
324C23×C3C22×D411yescharacteristic
325C3×Q8—24no—
326C3×Q8—24no—
327C3×Q8—44no—
328C3×D4—28no—
329C3×D4—216no—
330C3×D4—24no—
331C3×D4—24no—
332C3×D4—24no—
333C3×D4—48no—
334C3×D4—416no—
335C3×D4—44no—
336C3×D4—48no—
337C3×D4C22×D418yes—
338C2×C3×C4—22no—
339C2×C3×C4—22no—
340C2×C3×C4—22no—
341C2×C3×C4—28no—
342C2×C3×C4—24no—
343C2×C3×C4—24no—
344C2×C3×C4—44no—
345C2×C3×C4—416no—
346C2×C3×C4—48no—
347C2×C3×C4—44no—
348C2×C3×C4—44no—
349C2×C3×C4—416no—
350C2×C3×C4—416no—
351C2×C3×C4#12114yes—
352C2×C3×C4#12118yes—
353C2×C3×C4AGL(1,ℤ/8)14yescomplemented
354C2×C3×C4C22×D412yes—
355C2×C3×C4C22×D412yes—
356C2×C3×C4C22×D412yes—
357C2×C3×C4C22×D412yes—
358C2×C3×C4C22×D411yescharacteristic
359C2×C3×C4C22×D412yes—
360C2×C3×C4C22×D414yes—
361C2×C3×C4C22×D412yes—
362C2×C3×C4C2×#4112yes—
363C2×C3×C4C2×#4114yes—
364C2×C3×C4C2511yescharacteristic
365C3×C8—28no—
366C24—28no—
367C24—22no—
368C24—24no—
369C24—22no—
370C24—44no—
371C24—44no—
372C24C2×C3×D411yescharacteristic
373#41—216no—
374#41—216no—
375#41—416no—
376C2×Q8—22no—
377C2×Q8—24no—
378C2×Q8—24no—
379C2×Q8C24×C314yes—
380C2×D4—28no—
381C2×D4—28no—
382C2×D4—216no—
383C2×D4—24no—
384C2×D4—22no—
385C2×D4—24no—
386C2×D4—24no—
387C2×D4—24no—
388C2×D4—22no—
389C2×D4—24no—
390C2×D4—28no—
391C2×D4—24no—
392C2×D4—44no—
393C2×D4—48no—
394C2×D4—44no—
395C2×D4C2×C3×D418yes—
396C2×D4C2×C3×D4116yescomplemented
397C2×D4C24×C314yes—
398C2×D4C24×C314yes—
399C22×C4—24no—
400C22×C4—22no—
401C22×C4—24no—
402C22×C4—22no—
403C22×C4—28no—
404C22×C4—28no—
405C22×C4—28no—
406C22×C4—42no—
407C22×C4—48no—
408C22×C4—432no—
409C22×C4—44no—
410C22×C4—48no—
411C22×C4—48no—
412C22×C4C2×C3×D411yescharacteristic
413C22×C4C2×C3×D411yescharacteristic
414C22×C4C2×C3×D411yescharacteristic
415C22×C4C2×C3×D414yes—
416C22×C4C2×C3×D414yes—
417C22×C4C2×C3×D411yescharacteristic
418C22×C4C2×C3×D412yes—
419C22×C4C2×C3×D414yes—
420C22×C4C2×C3×D411yescharacteristic
421C22×C4C3×#4114yes—
422C22×C4C24×C311yescharacteristic
423C22×C4C24×C312yes—
424SD16—232no—
425D8—232no—
426M16—216no—
427C2×C8—28no—
428C2×C8C24×C318yes—
429C4⋊C4—24no—
430C4⋊C4—22no—
431C4⋊C4—24no—
432C4⋊C4—24no—
433C4⋊C4C24×C314yes—
434C22⋊C4—28no—
435C22⋊C4—28no—
436C22⋊C4—28no—
437C22⋊C4—28no—
438C42C2×C3×D414yes—
439C42C2×C3×D414yes—
440C42C2×C3×D412yes—
441C42C2×C3×D412yes—
442C42C24×C312yes—
443C42C24×C312yes—
444C22×C3—28no—
445C22×C3—22no—
446C22×C3—22no—
447C22×C3—28no—
448C22×C3—432no—
449C22×C3—416no—
450C22×C3—44no—
451C22×C3—44no—
452C22×C3—44no—
453C22×C3—44no—
454C22×C3—44no—
455C22×C3—88no—
456C22×C3C2×#12114yes—
457C22×C3C2×#12112yes—
458C22×C3C2×AGL(1,ℤ/8)12yes—
459C22×C3#57512yes—
460C22×C3C23×D411yescharacteristic
461C3×C4—22no—
462C3×C4—22no—
463C3×C4—22no—
464C3×C4—44no—
465C3×C4—44no—
466C3×C4C2×#12114yes—
467C3×C4C2×#12112yes—
468C3×C4C2×AGL(1,ℤ/8)14yescomplemented
469C3×C4C23×D411yescharacteristic
470C3×C4C22×#4111yescharacteristic
471C23—22no—
472C23—22no—
473C23—24no—
474C23—28no—
475C23—216no—
476C23—24no—
477C23—48no—
478C23—432no—
479C23—48no—
480C23—44no—
481C23—44no—
482C23—44no—
483C23—44no—
484C23—44no—
485C23C3×#12114yes—
486C23C22×C3×D412yes—
487C23C22×C3×D411yescharacteristic
488Q8—24no—
489Q8—24no—
490Q8—44no—
491D4—24no—
492D4—24no—
493D4—24no—
494D4—28no—
495D4—216no—
496D4—48no—
497D4—416no—
498D4—48no—
499D4—44no—
500D4C22×C3×D418yes—
501C2×C4—22no—
502C2×C4—22no—
503C2×C4—22no—
504C2×C4—28no—
505C2×C4—24no—
506C2×C4—24no—
507C2×C4—44no—
508C2×C4—416no—
509C2×C4—48no—
510C2×C4—44no—
511C2×C4—44no—
512C2×C4—416no—
513C2×C4—416no—
514C2×C4C3×#12114yes—
515C2×C4C3×#12118yes—
516C2×C4C3×AGL(1,ℤ/8)14yescomplemented
517C2×C4C22×C3×D412yes—
518C2×C4C22×C3×D412yes—
519C2×C4C22×C3×D412yes—
520C2×C4C22×C3×D412yes—
521C2×C4C22×C3×D412yes—
522C2×C4C22×C3×D414yes—
523C2×C4C22×C3×D412yes—
524C2×C4C22×C3×D411yescharacteristic
525C2×C4C2×C3×#4112yes—
526C2×C4C2×C3×#4114yes—
527C2×C4C25×C311yescharacteristic
528C8—28no—
529C2×C3—24no—
530C2×C3—48no—
531C2×C3—84no—
532C2×C3#303614yesdirect product factor
533C2×C3C22×#12111yescharacteristic
534C2×C3C22×AGL(1,ℤ/8)11yescharacteristic
535C2×C3C2×#57511yescharacteristic
536C22—28no—
537C22—22no—
538C22—22no—
539C22—28no—
540C22—432no—
541C22—416no—
542C22—44no—
543C22—44no—
544C22—44no—
545C22—44no—
546C22—44no—
547C22—88no—
548C22C2×C3×#12114yes—
549C22C2×C3×#12112yes—
550C22C2×C3×AGL(1,ℤ/8)12yes—
551C22C3×#57512yes—
552C22C23×C3×D411yescharacteristic
553C4—22no—
554C4—22no—
555C4—22no—
556C4—44no—
557C4—44no—
558C4C2×C3×#12114yes—
559C4C2×C3×#12112yes—
560C4C2×C3×AGL(1,ℤ/8)14yescomplemented
561C4C23×C3×D411yescharacteristic
562C4C22×C3×#4111yescharacteristic
563C3C2×#303611yescharacteristic, direct product factor, Sylow
564C2—24no—
565C2—48no—
566C2—84no—
567C2C3×#303614yesdirect product factor
568C2C22×C3×#12111yescharacteristic
569C2C22×C3×AGL(1,ℤ/8)11yescharacteristic
570C2C2×C3×#57511yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC2×C4C25×C3
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C22×C3×C42 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C3×AGL(1,ℤ/8)C2semidirect
2. C2×C3×#532C2semidirect
3. C22×C3×C4×D4C2semidirect
4. C3×#3036C2direct (N × H)
5. C2×C3×#463C2semidirect
6. C2×C3×#461C2semidirect
7. C2×C3×#459C2semidirect
8. C2×C3×#423C2semidirect
9. C2×C3×#417C2semidirect
10. C2×#3036C3direct (N × H)
15. C2×C3×AGL(1,ℤ/8)C22semidirect
20. C3×#532C22semidirect
21. C2×C3×C4⋊Q8C22semidirect
22. C2×C3×#127C22semidirect
23. C2×C3×#124C22semidirect
33. C2×C3×C4×D4C22semidirect
37. C3×#463C22semidirect
38. C3×#461C22semidirect
39. C3×#459C22semidirect
40. C3×#423C22semidirect
41. C2×C3×C4⋊C8C22semidirect
42. C2×C3×C4⋊C8C22semidirect
43. C3×#417C22semidirect
44. C2×C3×#103C22semidirect
45. C2×C3×#102C22semidirect
46. C22×AGL(1,ℤ/8)C2×C3semidirect
47. C2×#532C2×C3semidirect
48. C22×C4×D4C2×C3semidirect
49. #3036C2×C3direct (N × H)
50. C2×#463C2×C3semidirect
51. C2×#461C2×C3semidirect
52. C2×#459C2×C3semidirect
53. C2×#423C2×C3semidirect
54. C2×#417C2×C3semidirect
67. C22×C3×D4D4semidirect
89. C3×C4⋊Q8C23semidirect
91. C3×#127C23semidirect
93. C3×#124C23semidirect
121. C3×C4⋊C8C23semidirect
122. C3×C4⋊C8C23semidirect
123. C3×#103C23semidirect
124. C3×#102C23semidirect
129. C2×AGL(1,ℤ/8)C22×C3semidirect
134. #532C22×C3semidirect
135. C2×C4⋊Q8C22×C3semidirect
136. C2×#127C22×C3semidirect
137. C2×#124C22×C3semidirect
147. C2×C4×D4C22×C3semidirect
151. #463C22×C3semidirect
152. #461C22×C3semidirect
153. #459C22×C3semidirect
154. #423C22×C3semidirect
155. C2×C4⋊C8C22×C3semidirect
156. C2×C4⋊C8C22×C3semidirect
157. #417C22×C3semidirect
158. C2×#103C22×C3semidirect
159. C2×#102C22×C3semidirect
190. C2×C3×D4C2×D4semidirect
250. C22×D4C3×D4semidirect
272. C4⋊Q8C23×C3semidirect
274. #127C23×C3semidirect
276. #124C23×C3semidirect
304. C4⋊C8C23×C3semidirect
305. C4⋊C8C23×C3semidirect
306. #103C23×C3semidirect
307. #102C23×C3semidirect
353. C2×C3×C4AGL(1,ℤ/8)semidirect
396. C2×D4C2×C3×D4semidirect
468. C3×C4C2×AGL(1,ℤ/8)semidirect
516. C2×C4C3×AGL(1,ℤ/8)semidirect
532. C2×C3#3036direct (N × H)
560. C4C2×C3×AGL(1,ℤ/8)semidirect
563. C3C2×#3036direct (N × H)
567. C2C3×#3036direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×AGL(1,ℤ/8)2
C2×C3×#5322
C22×C3×C4×D42
C3×#30362
C2×C3×#4632
C2×C3×#4612
C2×C3×#4592
C2×C3×#4232
C2×C3×#4172
C2×#30363