Finite Group Databasebeta

← C3×C5×#2735 #14275769

Subgroups — C3×C5×#2735 #14275769

Order 1920.

1104 conjugacy classes of subgroups.

The subgroup lattice has 520 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C5×#399C211yesmaximal, characteristic, complemented
2C3×C5×#397C212yesmaximal, complemented
3C3×C5×#397C211yesmaximal, characteristic, complemented
4C3×C5×#396C212yesmaximal, complemented
5C3×C5×#388C212yesmaximal, complemented
6C3×C5×#388C212yesmaximal, complemented
7C3×C5×#388C212yesmaximal, complemented
8C3×C5×#379C211yesmaximal, characteristic
9C3×C5×#379C212yesmaximal
10C5×#2735C311yesmaximal, characteristic, direct product factor, Hall
11C25×C3×C5C2211yescharacteristic
12C2×C3×C5×C4⋊C4C2211yescharacteristic, complemented
13C2×C3×C5×C4⋊C4C2212yescomplemented
14C2×C3×C5×C4⋊C4C2212yescomplemented
15C2×C3×C5×C4⋊C4C2211yescharacteristic, complemented
16C2×C3×C5×C22⋊C4C2212yes—
17C2×C3×C5×C22⋊C4C2212yes—
18C2×C3×C5×C22⋊C4C2212yes—
19C2×C3×C5×C22⋊C4C2212yes—
20C2×C3×C5×C22⋊C4C2211yescharacteristic
21C2×C3×C5×C22⋊C4C2212yes—
22C2×C3×C5×C22⋊C4C2212yes—
23C2×C3×C5×C22⋊C4C2212yes—
24C2×C3×C5×C22⋊C4C2212yes—
25C2×C3×C5×C22⋊C4C2211yescharacteristic
26C2×C3×C42×C5C2212yescomplemented
27C3×C5×#95C2212yescomplemented
28C3×C5×#95C2212yescomplemented
29C3×C5×#95C2211yescharacteristic, complemented
30C3×C5×#95C2212yescomplemented
31C3×C5×#95C2211yescharacteristic, complemented
32C3×#2735C511yesmaximal, characteristic, direct product factor, Hall
33C5×#399C2×C311yescharacteristic, complemented
34C5×#397C2×C312yescomplemented
35C5×#397C2×C311yescharacteristic, complemented
36C5×#396C2×C312yescomplemented
37C5×#388C2×C312yescomplemented
38C5×#388C2×C312yescomplemented
39C5×#388C2×C312yescomplemented
40C5×#379C2×C311yescharacteristic
41C5×#379C2×C312yes—
42C24×C3×C5—22no—
43C24×C3×C5—24no—
44C24×C3×C5—42no—
45C24×C3×C5—41no—
46C24×C3×C5—41no—
47C24×C3×C5C2312yes—
48C24×C3×C5C2311yescharacteristic
49C22×C3×C4×C5C2312yes—
50C22×C3×C4×C5C2312yes—
51C22×C3×C4×C5C2312yes—
52C22×C3×C4×C5C2311yescharacteristic
53C22×C3×C4×C5C2312yes—
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2311yescharacteristic
56C3×C5×C4⋊C4—41no—
57C3×C5×C4⋊C4—42no—
58C3×C5×C4⋊C4—42no—
59C3×C5×C4⋊C4—41no—
60C3×C5×C22⋊C4—24no—
61C3×C5×C22⋊C4—24no—
62C3×C5×C22⋊C4—24no—
63C3×C5×C22⋊C4—42no—
64C3×C5×C22⋊C4—42no—
65C3×C5×C22⋊C4—42no—
66C3×C5×C22⋊C4—41no—
67C3×C5×C22⋊C4—42no—
68C3×C5×C22⋊C4—42no—
69C3×C5×C22⋊C4—41no—
70C3×C42×C5—42no—
71C3×#399C2×C511yescharacteristic, complemented
72C3×#397C2×C511yescharacteristic, complemented
73C3×#397C2×C512yescomplemented
74C3×#396C2×C512yescomplemented
75C3×#388C2×C512yescomplemented
76C3×#388C2×C512yescomplemented
77C3×#388C2×C512yescomplemented
78C3×#379C2×C511yescharacteristic
79C3×#379C2×C512yes—
80C25×C5C22×C311yescharacteristic
81C2×C5×C4⋊C4C22×C311yescharacteristic, complemented
82C2×C5×C4⋊C4C22×C312yescomplemented
83C2×C5×C4⋊C4C22×C312yescomplemented
84C2×C5×C4⋊C4C22×C311yescharacteristic, complemented
85C2×C5×C22⋊C4C22×C312yes—
86C2×C5×C22⋊C4C22×C312yes—
87C2×C5×C22⋊C4C22×C312yes—
88C2×C5×C22⋊C4C22×C312yes—
89C2×C5×C22⋊C4C22×C311yescharacteristic
90C2×C5×C22⋊C4C22×C312yes—
91C2×C5×C22⋊C4C22×C312yes—
92C2×C5×C22⋊C4C22×C312yes—
93C2×C5×C22⋊C4C22×C312yes—
94C2×C5×C22⋊C4C22×C311yescharacteristic
95C2×C42×C5C22×C312yescomplemented
96C5×#95C22×C312yescomplemented
97C5×#95C22×C312yescomplemented
98C5×#95C22×C311yescharacteristic, complemented
99C5×#95C22×C312yescomplemented
100C5×#95C22×C311yescharacteristic, complemented
101#2735C3×C511yescharacteristic, direct product factor, Sylow
102C23×C3×C5—22no—
103C23×C3×C5—22no—
104C23×C3×C5—22no—
105C23×C3×C5—21no—
106C23×C3×C5—22no—
107C23×C3×C5—22no—
108C23×C3×C5—21no—
109C23×C3×C5—22no—
110C23×C3×C5—22no—
111C23×C3×C5—22no—
112C23×C3×C5—48no—
113C23×C3×C5—44no—
114C23×C3×C5—48no—
115C23×C3×C5—44no—
116C23×C3×C5—44no—
117C23×C3×C5#4114yes—
118C23×C3×C5#4112yes—
119C23×C3×C5C2411yescharacteristic
120C2×C3×C4×C5—22no—
121C2×C3×C4×C5—22no—
122C2×C3×C4×C5—22no—
123C2×C3×C4×C5—22no—
124C2×C3×C4×C5—22no—
125C2×C3×C4×C5—22no—
126C2×C3×C4×C5—22no—
127C2×C3×C4×C5—22no—
128C2×C3×C4×C5—22no—
129C2×C3×C4×C5—22no—
130C2×C3×C4×C5—22no—
131C2×C3×C4×C5—22no—
132C2×C3×C4×C5—22no—
133C2×C3×C4×C5—22no—
134C2×C3×C4×C5—21no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5—22no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—21no—
139C25×C3C22×C511yescharacteristic
140C2×C3×C4⋊C4C22×C511yescharacteristic, complemented
141C2×C3×C4⋊C4C22×C512yescomplemented
142C2×C3×C4⋊C4C22×C512yescomplemented
143C2×C3×C4⋊C4C22×C511yescharacteristic, complemented
144C2×C3×C22⋊C4C22×C512yes—
145C2×C3×C22⋊C4C22×C512yes—
146C2×C3×C22⋊C4C22×C512yes—
147C2×C3×C22⋊C4C22×C512yes—
148C2×C3×C22⋊C4C22×C511yescharacteristic
149C2×C3×C22⋊C4C22×C512yes—
150C2×C3×C22⋊C4C22×C512yes—
151C2×C3×C22⋊C4C22×C512yes—
152C2×C3×C22⋊C4C22×C512yes—
153C2×C3×C22⋊C4C22×C511yescharacteristic
154C2×C3×C42C22×C512yescomplemented
155C3×#95C22×C512yescomplemented
156C3×#95C22×C511yescharacteristic, complemented
157C3×#95C22×C512yescomplemented
158C3×#95C22×C512yescomplemented
159C3×#95C22×C511yescharacteristic, complemented
160C24×C5—22no—
161C24×C5—24no—
162C24×C5—42no—
163C24×C5—41no—
164C24×C5—41no—
165C24×C5C23×C312yes—
166C24×C5C23×C311yescharacteristic
167C22×C4×C5C23×C312yes—
168C22×C4×C5C23×C312yes—
169C22×C4×C5C23×C312yes—
170C22×C4×C5C23×C311yescharacteristic
171C22×C4×C5C23×C312yes—
172C22×C4×C5C23×C312yes—
173C22×C4×C5C23×C311yescharacteristic
174C5×C4⋊C4—41no—
175C5×C4⋊C4—42no—
176C5×C4⋊C4—42no—
177C5×C4⋊C4—41no—
178C5×C22⋊C4—24no—
179C5×C22⋊C4—24no—
180C5×C22⋊C4—24no—
181C5×C22⋊C4—42no—
182C5×C22⋊C4—42no—
183C5×C22⋊C4—42no—
184C5×C22⋊C4—41no—
185C5×C22⋊C4—42no—
186C5×C22⋊C4—42no—
187C5×C22⋊C4—41no—
188C42×C5—42no—
189#399C2×C3×C511yescharacteristic, complemented
190#397C2×C3×C511yescharacteristic, complemented
191#397C2×C3×C512yescomplemented
192#396C2×C3×C512yescomplemented
193#388C2×C3×C512yescomplemented
194#388C2×C3×C512yescomplemented
195#388C2×C3×C512yescomplemented
196#379C2×C3×C511yescharacteristic
197#379C2×C3×C512yes—
198C22×C3×C5—24no—
199C22×C3×C5—22no—
200C22×C3×C5—24no—
201C22×C3×C5—24no—
202C22×C3×C5—24no—
203C22×C3×C5—416no—
204C22×C3×C5—42no—
205C22×C3×C5—42no—
206C22×C3×C5—42no—
207C22×C3×C5—42no—
208C22×C3×C5—41no—
209C22×C3×C5—42no—
210C22×C3×C5—41no—
211C22×C3×C5C2×#4112yes—
212C22×C3×C5C2×#4111yescharacteristic
213C22×C3×C5H(5,𝔽2)11yescharacteristic
214C22×C3×C5H(5,𝔽2)12yes—
215C22×C3×C5H(5,𝔽2)11yescharacteristic
216C3×C4×C5—42no—
217C3×C4×C5—42no—
218C3×C4×C5—42no—
219C3×C4×C5—42no—
220C3×C4×C5—41no—
221C3×C4×C5—42no—
222C3×C4×C5—41no—
223C24×C3—22no—
224C24×C3—24no—
225C24×C3—42no—
226C24×C3—41no—
227C24×C3—41no—
228C24×C3C23×C512yes—
229C24×C3C23×C511yescharacteristic
230C22×C3×C4C23×C512yes—
231C22×C3×C4C23×C511yescharacteristic
232C22×C3×C4C23×C512yes—
233C22×C3×C4C23×C512yes—
234C22×C3×C4C23×C512yes—
235C22×C3×C4C23×C512yes—
236C22×C3×C4C23×C511yescharacteristic
237C3×C4⋊C4—41no—
238C3×C4⋊C4—42no—
239C3×C4⋊C4—42no—
240C3×C4⋊C4—41no—
241C3×C22⋊C4—24no—
242C3×C22⋊C4—24no—
243C3×C22⋊C4—24no—
244C3×C22⋊C4—42no—
245C3×C22⋊C4—42no—
246C3×C22⋊C4—42no—
247C3×C22⋊C4—41no—
248C3×C22⋊C4—42no—
249C3×C22⋊C4—42no—
250C3×C22⋊C4—41no—
251C3×C42—42no—
252C23×C5—22no—
253C23×C5—22no—
254C23×C5—22no—
255C23×C5—22no—
256C23×C5—21no—
257C23×C5—21no—
258C23×C5—22no—
259C23×C5—22no—
260C23×C5—22no—
261C23×C5—22no—
262C23×C5—48no—
263C23×C5—44no—
264C23×C5—48no—
265C23×C5—44no—
266C23×C5—44no—
267C23×C5C3×#4114yes—
268C23×C5C3×#4112yes—
269C23×C5C24×C311yescharacteristic
270C2×C4×C5—22no—
271C2×C4×C5—22no—
272C2×C4×C5—22no—
273C2×C4×C5—22no—
274C2×C4×C5—22no—
275C2×C4×C5—22no—
276C2×C4×C5—22no—
277C2×C4×C5—22no—
278C2×C4×C5—22no—
279C2×C4×C5—22no—
280C2×C4×C5—22no—
281C2×C4×C5—22no—
282C2×C4×C5—21no—
283C2×C4×C5—22no—
284C2×C4×C5—22no—
285C2×C4×C5—22no—
286C2×C4×C5—22no—
287C2×C4×C5—22no—
288C2×C4×C5—21no—
289C25C22×C3×C511yescharacteristic
290C2×C4⋊C4C22×C3×C511yescharacteristic, complemented
291C2×C4⋊C4C22×C3×C512yescomplemented
292C2×C4⋊C4C22×C3×C512yescomplemented
293C2×C4⋊C4C22×C3×C511yescharacteristic, complemented
294C2×C22⋊C4C22×C3×C512yes—
295C2×C22⋊C4C22×C3×C512yes—
296C2×C22⋊C4C22×C3×C512yes—
297C2×C22⋊C4C22×C3×C512yes—
298C2×C22⋊C4C22×C3×C511yescharacteristic
299C2×C22⋊C4C22×C3×C512yes—
300C2×C22⋊C4C22×C3×C512yes—
301C2×C22⋊C4C22×C3×C512yes—
302C2×C22⋊C4C22×C3×C512yes—
303C2×C22⋊C4C22×C3×C511yescharacteristic
304C2×C42C22×C3×C512yescomplemented
305#95C22×C3×C512yescomplemented
306#95C22×C3×C511yescharacteristic, complemented
307#95C22×C3×C512yescomplemented
308#95C22×C3×C512yescomplemented
309#95C22×C3×C511yescharacteristic, complemented
310C2×C3×C5—44no—
311C2×C3×C5—42no—
312C2×C3×C5#53812yes—
313C2×C3×C5#53811yescharacteristic
314C2×C3×C5#55112yes—
315C2×C3×C5#55111yescharacteristic
316C2×C3×C5#56011yescharacteristic
317C23×C3—22no—
318C23×C3—22no—
319C23×C3—22no—
320C23×C3—21no—
321C23×C3—22no—
322C23×C3—22no—
323C23×C3—21no—
324C23×C3—22no—
325C23×C3—22no—
326C23×C3—22no—
327C23×C3—48no—
328C23×C3—44no—
329C23×C3—48no—
330C23×C3—44no—
331C23×C3—44no—
332C23×C3C5×#4114yes—
333C23×C3C5×#4112yes—
334C23×C3C24×C511yescharacteristic
335C2×C3×C4—22no—
336C2×C3×C4—22no—
337C2×C3×C4—22no—
338C2×C3×C4—22no—
339C2×C3×C4—22no—
340C2×C3×C4—22no—
341C2×C3×C4—22no—
342C2×C3×C4—22no—
343C2×C3×C4—22no—
344C2×C3×C4—22no—
345C2×C3×C4—22no—
346C2×C3×C4—22no—
347C2×C3×C4—22no—
348C2×C3×C4—22no—
349C2×C3×C4—21no—
350C2×C3×C4—22no—
351C2×C3×C4—22no—
352C2×C3×C4—22no—
353C2×C3×C4—21no—
354C22×C5—24no—
355C22×C5—22no—
356C22×C5—24no—
357C22×C5—24no—
358C22×C5—24no—
359C22×C5—416no—
360C22×C5—42no—
361C22×C5—41no—
362C22×C5—42no—
363C22×C5—42no—
364C22×C5—42no—
365C22×C5—42no—
366C22×C5—41no—
367C22×C5C2×C3×#4112yes—
368C22×C5C2×C3×#4111yescharacteristic
369C22×C5C3×H(5,𝔽2)12yes—
370C22×C5C3×H(5,𝔽2)11yescharacteristic
371C22×C5C3×H(5,𝔽2)11yescharacteristic
372C4×C5—42no—
373C4×C5—41no—
374C4×C5—42no—
375C4×C5—42no—
376C4×C5—42no—
377C4×C5—42no—
378C4×C5—41no—
379C24—22no—
380C24—24no—
381C24—42no—
382C24—41no—
383C24—41no—
384C24C23×C3×C512yes—
385C24C23×C3×C511yescharacteristic
386C22×C4C23×C3×C512yes—
387C22×C4C23×C3×C511yescharacteristic
388C22×C4C23×C3×C512yes—
389C22×C4C23×C3×C512yes—
390C22×C4C23×C3×C512yes—
391C22×C4C23×C3×C512yes—
392C22×C4C23×C3×C511yescharacteristic
393C4⋊C4—41no—
394C4⋊C4—42no—
395C4⋊C4—42no—
396C4⋊C4—41no—
397C22⋊C4—24no—
398C22⋊C4—24no—
399C22⋊C4—24no—
400C22⋊C4—42no—
401C22⋊C4—42no—
402C22⋊C4—42no—
403C22⋊C4—41no—
404C22⋊C4—42no—
405C22⋊C4—42no—
406C22⋊C4—41no—
407C42—42no—
408C3×C5#273511yescharacteristic, direct product factor, Hall
409C22×C3—24no—
410C22×C3—22no—
411C22×C3—24no—
412C22×C3—24no—
413C22×C3—24no—
414C22×C3—416no—
415C22×C3—42no—
416C22×C3—42no—
417C22×C3—42no—
418C22×C3—42no—
419C22×C3—41no—
420C22×C3—42no—
421C22×C3—41no—
422C22×C3C2×C5×#4112yes—
423C22×C3C2×C5×#4111yescharacteristic
424C22×C3C5×H(5,𝔽2)11yescharacteristic
425C22×C3C5×H(5,𝔽2)12yes—
426C22×C3C5×H(5,𝔽2)11yescharacteristic
427C3×C4—42no—
428C3×C4—42no—
429C3×C4—42no—
430C3×C4—42no—
431C3×C4—41no—
432C3×C4—42no—
433C3×C4—41no—
434C2×C5—44no—
435C2×C5—42no—
436C2×C5C3×#53812yes—
437C2×C5C3×#53811yescharacteristic
438C2×C5C3×#55112yes—
439C2×C5C3×#55111yescharacteristic
440C2×C5C3×#56011yescharacteristic
441C23—22no—
442C23—22no—
443C23—22no—
444C23—21no—
445C23—22no—
446C23—22no—
447C23—21no—
448C23—22no—
449C23—22no—
450C23—22no—
451C23—48no—
452C23—44no—
453C23—48no—
454C23—44no—
455C23—44no—
456C23C3×C5×#4114yes—
457C23C3×C5×#4112yes—
458C23C24×C3×C511yescharacteristic
459C2×C4—22no—
460C2×C4—22no—
461C2×C4—22no—
462C2×C4—22no—
463C2×C4—22no—
464C2×C4—22no—
465C2×C4—22no—
466C2×C4—22no—
467C2×C4—22no—
468C2×C4—22no—
469C2×C4—22no—
470C2×C4—22no—
471C2×C4—22no—
472C2×C4—22no—
473C2×C4—21no—
474C2×C4—22no—
475C2×C4—22no—
476C2×C4—22no—
477C2×C4—21no—
478C2×C3—44no—
479C2×C3—42no—
480C2×C3C5×#53812yes—
481C2×C3C5×#53811yescharacteristic
482C2×C3C5×#55112yes—
483C2×C3C5×#55111yescharacteristic
484C2×C3C5×#56011yescharacteristic
485C5C3×#273511yescharacteristic, direct product factor, Sylow
486C22—24no—
487C22—22no—
488C22—24no—
489C22—24no—
490C22—24no—
491C22—416no—
492C22—42no—
493C22—42no—
494C22—42no—
495C22—42no—
496C22—41no—
497C22—42no—
498C22—41no—
499C22C2×C3×C5×#4112yes—
500C22C2×C3×C5×#4111yescharacteristic
501C22C3×C5×H(5,𝔽2)11yescharacteristic
502C22C3×C5×H(5,𝔽2)12yes—
503C22C3×C5×H(5,𝔽2)11yescharacteristic
504C4—42no—
505C4—42no—
506C4—42no—
507C4—42no—
508C4—41no—
509C4—42no—
510C4—41no—
511C3C5×#273511yescharacteristic, direct product factor, Sylow
512C2—44no—
513C2—42no—
514C2C3×C5×#53812yes—
515C2C3×C5×#53811yescharacteristic
516C2C3×C5×#55112yes—
517C2C3×C5×#55111yescharacteristic
518C2C3×C5×#56011yescharacteristic
subgroupG/H
center, socleC23×C3×C5C24
commutator, Frattini, cosocleC23C24×C3×C5
prime radicalC25×C3×C5C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C3×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×C5×#399C2semidirect
2. C3×C5×#397C2semidirect
3. C3×C5×#397C2semidirect
4. C3×C5×#396C2semidirect
5. C3×C5×#388C2semidirect
6. C3×C5×#388C2semidirect
7. C3×C5×#388C2semidirect
10. C5×#2735C3direct (N × H)
12. C2×C3×C5×C4⋊C4C22semidirect
13. C2×C3×C5×C4⋊C4C22semidirect
14. C2×C3×C5×C4⋊C4C22semidirect
15. C2×C3×C5×C4⋊C4C22semidirect
26. C2×C3×C42×C5C22semidirect
27. C3×C5×#95C22semidirect
28. C3×C5×#95C22semidirect
29. C3×C5×#95C22semidirect
30. C3×C5×#95C22semidirect
31. C3×C5×#95C22semidirect
32. C3×#2735C5direct (N × H)
33. C5×#399C2×C3semidirect
34. C5×#397C2×C3semidirect
35. C5×#397C2×C3semidirect
36. C5×#396C2×C3semidirect
37. C5×#388C2×C3semidirect
38. C5×#388C2×C3semidirect
39. C5×#388C2×C3semidirect
71. C3×#399C2×C5semidirect
72. C3×#397C2×C5semidirect
73. C3×#397C2×C5semidirect
74. C3×#396C2×C5semidirect
75. C3×#388C2×C5semidirect
76. C3×#388C2×C5semidirect
77. C3×#388C2×C5semidirect
81. C2×C5×C4⋊C4C22×C3semidirect
82. C2×C5×C4⋊C4C22×C3semidirect
83. C2×C5×C4⋊C4C22×C3semidirect
84. C2×C5×C4⋊C4C22×C3semidirect
95. C2×C42×C5C22×C3semidirect
96. C5×#95C22×C3semidirect
97. C5×#95C22×C3semidirect
98. C5×#95C22×C3semidirect
99. C5×#95C22×C3semidirect
100. C5×#95C22×C3semidirect
101. #2735C3×C5direct (N × H)
140. C2×C3×C4⋊C4C22×C5semidirect
141. C2×C3×C4⋊C4C22×C5semidirect
142. C2×C3×C4⋊C4C22×C5semidirect
143. C2×C3×C4⋊C4C22×C5semidirect
154. C2×C3×C42C22×C5semidirect
155. C3×#95C22×C5semidirect
156. C3×#95C22×C5semidirect
157. C3×#95C22×C5semidirect
158. C3×#95C22×C5semidirect
159. C3×#95C22×C5semidirect
189. #399C2×C3×C5semidirect
190. #397C2×C3×C5semidirect
191. #397C2×C3×C5semidirect
192. #396C2×C3×C5semidirect
193. #388C2×C3×C5semidirect
194. #388C2×C3×C5semidirect
195. #388C2×C3×C5semidirect
290. C2×C4⋊C4C22×C3×C5semidirect
291. C2×C4⋊C4C22×C3×C5semidirect
292. C2×C4⋊C4C22×C3×C5semidirect
293. C2×C4⋊C4C22×C3×C5semidirect
304. C2×C42C22×C3×C5semidirect
305. #95C22×C3×C5semidirect
306. #95C22×C3×C5semidirect
307. #95C22×C3×C5semidirect
308. #95C22×C3×C5semidirect
309. #95C22×C3×C5semidirect
408. C3×C5#2735direct (N × H)
485. C5C3×#2735direct (N × H)
511. C3C5×#2735direct (N × H)

Maximal subgroups

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

subgroupindex
C3×C5×#3992
C3×C5×#3972
C3×C5×#3962
C3×C5×#3882
C3×C5×#3792
C5×#27353
C3×#27355