Finite Group Databasebeta

← C2×C3×#3081 #10679092

Subgroups — C2×C3×#3081 #10679092

Order 768.

2234 conjugacy classes of subgroups.

The subgroup lattice has 548 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#544C211yesmaximal, characteristic, complemented
2C2×C3×#518C211yesmaximal, characteristic
3C3×#3081C2116yesmaximal, direct product factor
4C2×C3×#478C212yesmaximal, complemented
5C2×C3×#478C212yesmaximal, complemented
6C2×C3×#476C212yesmaximal, complemented
7C2×C3×#474C212yesmaximal, complemented
8C2×C3×#428C211yesmaximal, characteristic, complemented
9C2×C3×#427C211yesmaximal, characteristic, complemented
10C2×C3×#424C211yesmaximal, characteristic, complemented
11C2×C3×#418C211yesmaximal, characteristic
12C22×C3×#102C211yesmaximal, characteristic
13C2×#3081C311yesmaximal, characteristic, direct product factor, Sylow
14C23×C3×D4C2211yescharacteristic
15C22×C3×M16C2211yescharacteristic
16C23×C3×C8C2211yescharacteristic
17C3×#544—24no—
18C3×#544C2218yescomplemented
19C2×C3×C4⋊Q8—21no—
20C2×C3×C4⋊Q8C2212yescomplemented
21C2×C3×#125—21no—
22C2×C3×#125C2212yescomplemented
23C2×C3×C22⋊Q8—22no—
24C3×#518—24no—
25C3×#518C2218yes—
26C2×C3×C4×D4—21no—
27C2×C3×C4×D4—21no—
28C2×C3×C4×D4C2212yes—
29C2×C3×C4×D4C2212yes—
30C2×C3×#117C2211yescharacteristic
31C2×C3×#117C2211yescharacteristic
32C2×C3×#117C2211yescharacteristic
33C22×C3×C4⋊C4C2211yescharacteristic
34C22×C3×C22⋊C4—22no—
35C3×#478C22116yescomplemented
36C3×#478C22116yescomplemented
37C3×#476C22116yescomplemented
38C3×#474C22116yescomplemented
39C3×#428C2218yescomplemented
40C3×#427C2218yescomplemented
41C2×C3×#107C2211yescharacteristic, complemented
42C2×C3×#107C2211yescharacteristic, complemented
43C2×C3×#107C2212yescomplemented
44C2×C3×#106C2211yescharacteristic, complemented
45C2×C3×#106C2211yescharacteristic, complemented
46C2×C3×#106C2212yescomplemented
47C3×#424C2218yescomplemented
48C2×C3×C4⋊C8C2212yescomplemented
49C2×C3×C4⋊C8C2212yescomplemented
50C3×#418C2218yes—
51C2×C3×#102C2212yes—
52C2×C3×#102C2212yes—
53C2×C3×#102C2218yes—
54C2×C3×#102C2212yes—
55C2×C3×#102C2212yes—
56C2×#544C2×C311yescharacteristic, complemented
57C2×#518C2×C311yescharacteristic
58#3081C2×C3116yesdirect product factor
59C2×#478C2×C312yescomplemented
60C2×#478C2×C312yescomplemented
61C2×#476C2×C312yescomplemented
62C2×#474C2×C312yescomplemented
63C2×#428C2×C311yescharacteristic, complemented
64C2×#427C2×C311yescharacteristic, complemented
65C2×#424C2×C311yescharacteristic, complemented
66C2×#418C2×C311yescharacteristic
67C22×#102C2×C311yescharacteristic
68C25×C3—21no—
69C22×C3×Q8—22no—
70C22×C3×D4—21no—
71C22×C3×D4—22no—
72C22×C3×D4—24no—
73C22×C3×D4Q818yescomplemented
74C22×C3×D4C2312yes—
75C22×C3×D4C2314yes—
76C23×C3×C4—21no—
77C23×C3×C4—22no—
78C23×C3×C4—22no—
79C23×C3×C4C2311yescharacteristic
80C2×C3×M16—24no—
81C2×C3×M16C2314yes—
82C22×C3×C8—24no—
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2314yes—
86C22×C3×C8C2312yes—
87C3×C4⋊Q8—28no—
88C3×C4⋊Q8—24no—
89C3×C4⋊Q8C2318yescomplemented
90C3×#125—28no—
91C3×#125—24no—
92C3×#125C2318yescomplemented
93C3×C22⋊Q8—216no—
94C3×C4×D4—28no—
95C3×C4×D4—28no—
96C3×C4×D4—24no—
97C3×C4×D4—24no—
98C3×C4×D4C2318yes—
99C3×C4×D4C2318yes—
100C3×#117—22no—
101C3×#117—22no—
102C3×#117D414yes—
103C3×#117C2314yes—
104C3×#117C2314yes—
105C3×#117C2314yes—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4—22no—
108C2×C3×C4⋊C4—22no—
109C2×C3×C4⋊C4—22no—
110C2×C3×C4⋊C4—22no—
111C2×C3×C4⋊C4D411yescharacteristic
112C2×C3×C4⋊C4D411yescharacteristic
113C2×C3×C4⋊C4C2312yes—
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2314yes—
117C2×C3×C4⋊C4C2311yescharacteristic
118C2×C3×C4⋊C4C2311yescharacteristic
119C2×C3×C22⋊C4—21no—
120C2×C3×C22⋊C4—21no—
121C2×C3×C22⋊C4—22no—
122C2×C3×C22⋊C4—22no—
123C2×C3×C22⋊C4—216no—
124C2×C3×C22⋊C4D412yes—
125C2×C3×C42—21no—
126C2×C3×C42—21no—
127C2×C3×C42C2312yes—
128C3×#107C2314yescomplemented
129C3×#107C2314yescomplemented
130C3×#107C2318yescomplemented
131C3×#106C2314yescomplemented
132C3×#106C2314yescomplemented
133C3×#106C2318yescomplemented
134C3×C4⋊C8C2318yescomplemented
135C3×C4⋊C8C2318yescomplemented
136C3×#102C2318yes—
137C3×#102C2318yes—
138C3×#102C2318yes—
139C3×#102C2318yes—
140C23×D4C22×C311yescharacteristic
141C22×M16C22×C311yescharacteristic
142C23×C8C22×C311yescharacteristic
143#544—24no—
144#544C22×C318yescomplemented
145C2×C4⋊Q8—21no—
146C2×C4⋊Q8C22×C312yescomplemented
147C2×#125—21no—
148C2×#125C22×C312yescomplemented
149C2×C22⋊Q8—22no—
150#518—24no—
151#518C22×C318yes—
152C2×C4×D4—21no—
153C2×C4×D4—21no—
154C2×C4×D4C22×C312yes—
155C2×C4×D4C22×C312yes—
156C2×#117C22×C311yescharacteristic
157C2×#117C22×C311yescharacteristic
158C2×#117C22×C311yescharacteristic
159C22×C4⋊C4C22×C311yescharacteristic
160C22×C22⋊C4—22no—
161#478C22×C3116yescomplemented
162#478C22×C3116yescomplemented
163#476C22×C3116yescomplemented
164#474C22×C3116yescomplemented
165#428C22×C318yescomplemented
166#427C22×C318yescomplemented
167C2×#107C22×C311yescharacteristic, complemented
168C2×#107C22×C312yescomplemented
169C2×#107C22×C311yescharacteristic, complemented
170C2×#106C22×C311yescharacteristic, complemented
171C2×#106C22×C312yescomplemented
172C2×#106C22×C311yescharacteristic, complemented
173#424C22×C318yescomplemented
174C2×C4⋊C8C22×C312yescomplemented
175C2×C4⋊C8C22×C312yescomplemented
176#418C22×C318yes—
177C2×#102C22×C312yes—
178C2×#102C22×C312yes—
179C2×#102C22×C312yes—
180C2×#102C22×C318yes—
181C2×#102C22×C312yes—
182C24×C3—22no—
183C24×C3—28no—
184C24×C3—24no—
185C24×C3—82no—
186C24×C3—82no—
187C24×C3C2×D411yescharacteristic
188C2×C3×Q8—28no—
189C2×C3×Q8—84no—
190C2×C3×D4—216no—
191C2×C3×D4—28no—
192C2×C3×D4—24no—
193C2×C3×D4—22no—
194C2×C3×D4—24no—
195C2×C3×D4—28no—
196C2×C3×D4C2×Q818yes—
197C2×C3×D4C2×Q8116yescomplemented
198C2×C3×D4C2414yes—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—22no—
204C22×C3×C4—24no—
205C22×C3×C4—28no—
206C22×C3×C4—28no—
207C22×C3×C4—84no—
208C22×C3×C4—84no—
209C22×C3×C4—82no—
210C22×C3×C4C2×D412yes—
211C22×C3×C4C2×D412yes—
212C22×C3×C4C2×D412yes—
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×Q814yes—
215C22×C3×C4#4114yes—
216C22×C3×C4C2412yes—
217C22×C3×C4C2411yescharacteristic
218C3×M16—28no—
219C2×C3×C8—22no—
220C2×C3×C8—22no—
221C2×C3×C8—28no—
222C2×C3×C8—24no—
223C2×C3×C8C2412yes—
224C2×C3×C8C2414yes—
225C2×C3×C8C2412yes—
226C3×C4⋊C4—24no—
227C3×C4⋊C4—22no—
228C3×C4⋊C4—28no—
229C3×C4⋊C4—28no—
230C3×C4⋊C4—28no—
231C3×C4⋊C4—21no—
232C3×C4⋊C4—21no—
233C3×C4⋊C4—21no—
234C3×C4⋊C4—21no—
235C3×C4⋊C4C2×D414yes—
236C3×C4⋊C4C2×D414yes—
237C3×C4⋊C4C2414yes—
238C3×C4⋊C4C2412yes—
239C3×C4⋊C4C2412yes—
240C3×C4⋊C4C2412yes—
241C3×C4⋊C4C2412yes—
242C3×C22⋊C4—24no—
243C3×C22⋊C4—24no—
244C3×C22⋊C4—28no—
245C3×C22⋊C4—28no—
246C3×C22⋊C4C2×D418yes—
247C3×C42—24no—
248C3×C42—24no—
249C3×C42C2×D414yes—
250C3×C42C2414yes—
251C25—21no—
252C22×Q8—22no—
253C22×D4—21no—
254C22×D4—22no—
255C22×D4—24no—
256C22×D4C3×Q818yescomplemented
257C22×D4C23×C312yes—
258C22×D4C23×C314yes—
259C23×C4—21no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4C23×C311yescharacteristic
263C2×M16—24no—
264C2×M16C23×C314yes—
265C22×C8—24no—
266C22×C8C23×C311yescharacteristic
267C22×C8C23×C311yescharacteristic
268C22×C8C23×C314yes—
269C22×C8C23×C312yes—
270C4⋊Q8—28no—
271C4⋊Q8—24no—
272C4⋊Q8C23×C318yescomplemented
273#125—28no—
274#125—24no—
275#125C23×C318yescomplemented
276C22⋊Q8—216no—
277C4×D4—28no—
278C4×D4—28no—
279C4×D4—24no—
280C4×D4—24no—
281C4×D4C23×C318yes—
282C4×D4C23×C318yes—
283#117—22no—
284#117—22no—
285#117C3×D414yes—
286#117C23×C314yes—
287#117C23×C314yes—
288#117C23×C314yes—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4C3×D411yescharacteristic
295C2×C4⋊C4C3×D411yescharacteristic
296C2×C4⋊C4C23×C312yes—
297C2×C4⋊C4C23×C314yes—
298C2×C4⋊C4C23×C311yescharacteristic
299C2×C4⋊C4C23×C311yescharacteristic
300C2×C4⋊C4C23×C311yescharacteristic
301C2×C4⋊C4C23×C311yescharacteristic
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—22no—
305C2×C22⋊C4—22no—
306C2×C22⋊C4—216no—
307C2×C22⋊C4C3×D412yes—
308C2×C42—21no—
309C2×C42—21no—
310C2×C42C23×C312yes—
311#107C23×C314yescomplemented
312#107C23×C314yescomplemented
313#107C23×C318yescomplemented
314#106C23×C314yescomplemented
315#106C23×C314yescomplemented
316#106C23×C318yescomplemented
317C4⋊C8C23×C318yescomplemented
318C4⋊C8C23×C318yescomplemented
319#102C23×C318yes—
320#102C23×C318yes—
321#102C23×C318yes—
322#102C23×C318yes—
323C23×C3—22no—
324C23×C3—22no—
325C23×C3—28no—
326C23×C3—24no—
327C23×C3—216no—
328C23×C3—44no—
329C23×C3—44no—
330C23×C3—816no—
331C23×C3—84no—
332C23×C3—84no—
333C23×C3C22⋊Q814yes—
334C23×C3C22×D412yes—
335C23×C3C22×D411yescharacteristic
336C3×Q8—88no—
337C3×D4—28no—
338C3×D4—216no—
339C3×D4—24no—
340C3×D4C22×Q818yes—
341C2×C3×C4—24no—
342C2×C3×C4—24no—
343C2×C3×C4—22no—
344C2×C3×C4—22no—
345C2×C3×C4—22no—
346C2×C3×C4—22no—
347C2×C3×C4—24no—
348C2×C3×C4—42no—
349C2×C3×C4—44no—
350C2×C3×C4—42no—
351C2×C3×C4—42no—
352C2×C3×C4—42no—
353C2×C3×C4—88no—
354C2×C3×C4—88no—
355C2×C3×C4—84no—
356C2×C3×C4C22⋊Q818yes—
357C2×C3×C4C22⋊Q814yes—
358C2×C3×C4C22×D414yes—
359C2×C3×C4C22×D414yes—
360C2×C3×C4C22×D412yes—
361C2×C3×C4C22×D411yescharacteristic
362C2×C3×C4C22×Q812yes—
363C2×C3×C4C22×Q814yes—
364C2×C3×C4C2×#4112yes—
365C2×C3×C4C2×#4114yes—
366C2×C3×C4C2511yescharacteristic
367C3×C8—22no—
368C3×C8—22no—
369C3×C8—24no—
370C24—22no—
371C24—28no—
372C24—24no—
373C24—82no—
374C24—82no—
375C24C2×C3×D411yescharacteristic
376C2×Q8—28no—
377C2×Q8—84no—
378C2×D4—216no—
379C2×D4—28no—
380C2×D4—24no—
381C2×D4—22no—
382C2×D4—24no—
383C2×D4—28no—
384C2×D4C2×C3×Q818yes—
385C2×D4C2×C3×Q8116yescomplemented
386C2×D4C24×C314yes—
387C22×C4—21no—
388C22×C4—21no—
389C22×C4—21no—
390C22×C4—21no—
391C22×C4—22no—
392C22×C4—24no—
393C22×C4—28no—
394C22×C4—28no—
395C22×C4—84no—
396C22×C4—84no—
397C22×C4—82no—
398C22×C4C2×C3×D412yes—
399C22×C4C2×C3×D412yes—
400C22×C4C2×C3×D411yescharacteristic
401C22×C4C2×C3×D412yes—
402C22×C4C2×C3×Q814yes—
403C22×C4C3×#4114yes—
404C22×C4C24×C311yescharacteristic
405C22×C4C24×C312yes—
406M16—28no—
407C2×C8—22no—
408C2×C8—22no—
409C2×C8—28no—
410C2×C8—24no—
411C2×C8C24×C312yes—
412C2×C8C24×C314yes—
413C2×C8C24×C312yes—
414C4⋊C4—24no—
415C4⋊C4—22no—
416C4⋊C4—28no—
417C4⋊C4—28no—
418C4⋊C4—28no—
419C4⋊C4—21no—
420C4⋊C4—21no—
421C4⋊C4—21no—
422C4⋊C4—21no—
423C4⋊C4C2×C3×D414yes—
424C4⋊C4C2×C3×D414yes—
425C4⋊C4C24×C314yes—
426C4⋊C4C24×C312yes—
427C4⋊C4C24×C312yes—
428C4⋊C4C24×C312yes—
429C4⋊C4C24×C312yes—
430C22⋊C4—24no—
431C22⋊C4—24no—
432C22⋊C4—28no—
433C22⋊C4—28no—
434C22⋊C4C2×C3×D418yes—
435C42—24no—
436C42—24no—
437C42C2×C3×D414yes—
438C42C24×C314yes—
439C22×C3—28no—
440C22×C3—22no—
441C22×C3—22no—
442C22×C3—28no—
443C22×C3—416no—
444C22×C3—44no—
445C22×C3—44no—
446C22×C3—816no—
447C22×C3C2×C22⋊Q814yes—
448C22×C3C2×C22⋊Q812yes—
449C22×C3#57612yes—
450C22×C3#57712yes—
451C22×C3C23×D411yescharacteristic
452C3×C4—24no—
453C3×C4—24no—
454C3×C4—42no—
455C3×C4—44no—
456C3×C4—42no—
457C3×C4—42no—
458C3×C4—42no—
459C3×C4C2×C22⋊Q814yes—
460C3×C4C2×C22⋊Q812yes—
461C3×C4C23×Q811yescharacteristic
462C3×C4C22×#4111yescharacteristic
463C23—22no—
464C23—22no—
465C23—24no—
466C23—28no—
467C23—216no—
468C23—44no—
469C23—44no—
470C23—84no—
471C23—84no—
472C23—816no—
473C23C3×C22⋊Q814yes—
474C23C22×C3×D412yes—
475C23C22×C3×D411yescharacteristic
476Q8—88no—
477D4—24no—
478D4—28no—
479D4—216no—
480D4C22×C3×Q818yes—
481C2×C4—24no—
482C2×C4—24no—
483C2×C4—22no—
484C2×C4—22no—
485C2×C4—22no—
486C2×C4—22no—
487C2×C4—24no—
488C2×C4—42no—
489C2×C4—44no—
490C2×C4—42no—
491C2×C4—42no—
492C2×C4—42no—
493C2×C4—88no—
494C2×C4—88no—
495C2×C4—84no—
496C2×C4C3×C22⋊Q818yes—
497C2×C4C3×C22⋊Q814yes—
498C2×C4C22×C3×D414yes—
499C2×C4C22×C3×D414yes—
500C2×C4C22×C3×D412yes—
501C2×C4C22×C3×D411yescharacteristic
502C2×C4C22×C3×Q812yes—
503C2×C4C22×C3×Q814yes—
504C2×C4C2×C3×#4112yes—
505C2×C4C2×C3×#4114yes—
506C2×C4C25×C311yescharacteristic
507C8—22no—
508C8—22no—
509C8—24no—
510C2×C3—24no—
511C2×C3—48no—
512C2×C3#308114yesdirect product factor
513C2×C3C22×C22⋊Q811yescharacteristic
514C2×C3C2×#57611yescharacteristic
515C2×C3C2×#57711yescharacteristic
516C22—22no—
517C22—22no—
518C22—28no—
519C22—28no—
520C22—44no—
521C22—44no—
522C22—416no—
523C22—816no—
524C22C2×C3×C22⋊Q814yes—
525C22C2×C3×C22⋊Q812yes—
526C22C3×#57612yes—
527C22C3×#57712yes—
528C22C23×C3×D411yescharacteristic
529C4—24no—
530C4—24no—
531C4—42no—
532C4—44no—
533C4—42no—
534C4—42no—
535C4—42no—
536C4C2×C3×C22⋊Q814yes—
537C4C2×C3×C22⋊Q812yes—
538C4C23×C3×Q811yescharacteristic
539C4C22×C3×#4111yescharacteristic
540C3C2×#308111yescharacteristic, direct product factor, Sylow
541C2—24no—
542C2—48no—
543C2C3×#308114yesdirect product factor
544C2C22×C3×C22⋊Q811yescharacteristic
545C2C2×C3×#57611yescharacteristic
546C2C2×C3×#57711yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC2×C4C25×C3
prime radicalC23×C3×D4C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C2×C3×#117 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#544C2semidirect
3. C3×#3081C2direct (N × H)
4. C2×C3×#478C2semidirect
5. C2×C3×#478C2semidirect
6. C2×C3×#476C2semidirect
7. C2×C3×#474C2semidirect
8. C2×C3×#428C2semidirect
9. C2×C3×#427C2semidirect
10. C2×C3×#424C2semidirect
13. C2×#3081C3direct (N × H)
18. C3×#544C22semidirect
20. C2×C3×C4⋊Q8C22semidirect
22. C2×C3×#125C22semidirect
35. C3×#478C22semidirect
36. C3×#478C22semidirect
37. C3×#476C22semidirect
38. C3×#474C22semidirect
39. C3×#428C22semidirect
40. C3×#427C22semidirect
41. C2×C3×#107C22semidirect
42. C2×C3×#107C22semidirect
43. C2×C3×#107C22semidirect
44. C2×C3×#106C22semidirect
45. C2×C3×#106C22semidirect
46. C2×C3×#106C22semidirect
47. C3×#424C22semidirect
48. C2×C3×C4⋊C8C22semidirect
49. C2×C3×C4⋊C8C22semidirect
56. C2×#544C2×C3semidirect
58. #3081C2×C3direct (N × H)
59. C2×#478C2×C3semidirect
60. C2×#478C2×C3semidirect
61. C2×#476C2×C3semidirect
62. C2×#474C2×C3semidirect
63. C2×#428C2×C3semidirect
64. C2×#427C2×C3semidirect
65. C2×#424C2×C3semidirect
73. C22×C3×D4Q8semidirect
89. C3×C4⋊Q8C23semidirect
92. C3×#125C23semidirect
128. C3×#107C23semidirect
129. C3×#107C23semidirect
130. C3×#107C23semidirect
131. C3×#106C23semidirect
132. C3×#106C23semidirect
133. C3×#106C23semidirect
134. C3×C4⋊C8C23semidirect
135. C3×C4⋊C8C23semidirect
144. #544C22×C3semidirect
146. C2×C4⋊Q8C22×C3semidirect
148. C2×#125C22×C3semidirect
161. #478C22×C3semidirect
162. #478C22×C3semidirect
163. #476C22×C3semidirect
164. #474C22×C3semidirect
165. #428C22×C3semidirect
166. #427C22×C3semidirect
167. C2×#107C22×C3semidirect
168. C2×#107C22×C3semidirect
169. C2×#107C22×C3semidirect
170. C2×#106C22×C3semidirect
171. C2×#106C22×C3semidirect
172. C2×#106C22×C3semidirect
173. #424C22×C3semidirect
174. C2×C4⋊C8C22×C3semidirect
175. C2×C4⋊C8C22×C3semidirect
197. C2×C3×D4C2×Q8semidirect
256. C22×D4C3×Q8semidirect
272. C4⋊Q8C23×C3semidirect
275. #125C23×C3semidirect
311. #107C23×C3semidirect
312. #107C23×C3semidirect
313. #107C23×C3semidirect
314. #106C23×C3semidirect
315. #106C23×C3semidirect
316. #106C23×C3semidirect
317. C4⋊C8C23×C3semidirect
318. C4⋊C8C23×C3semidirect
385. C2×D4C2×C3×Q8semidirect
512. C2×C3#3081direct (N × H)
540. C3C2×#3081direct (N × H)
543. C2C3×#3081direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5442
C2×C3×#5182
C3×#30812
C2×C3×#4782
C2×C3×#4762
C2×C3×#4742
C2×C3×#4282
C2×C3×#4272
C2×C3×#4242
C2×C3×#4182
C22×C3×#1022
C2×#30813