Finite Group Databasebeta

← C2×C3×#66023 #14481739

Subgroups — C2×C3×#66023 #14481739

Order 1920.

2160 conjugacy classes of subgroups.

The subgroup lattice has 552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×#125C211yesmaximal, characteristic, complemented
2C3×#66023C2116yesmaximal, direct product factor
3C2×C3×#4043C212yesmaximal
4C2×C3×#4042C212yesmaximal
5C2×C3×#4038C211yesmaximal, characteristic
6C2×C3×D5×C4⋊C4C211yesmaximal, characteristic
7C2×C3×#4036C211yesmaximal, characteristic, complemented
8C2×C3×#4035C212yesmaximal, complemented
9C2×C3×#4034C211yesmaximal, characteristic, complemented
10C2×C3×#4034C212yesmaximal, complemented
11C2×C3×#4018C211yesmaximal, characteristic
12C2×C3×#4015C211yesmaximal, characteristic, complemented
13C2×#66023C311yesmaximal, characteristic, direct product factor, Hall
14C22×C3×C4×D5C2212yes—
15C22×C3×C4×D5C2211yescharacteristic
16C22×C3×Dic10C2212yes—
17C22×C3×Dic10C2212yes—
18C3×C5×#125C2218yescomplemented
19C2×C3×C5×C4⋊C4C2212yes—
20C2×C3×C5×C4⋊C4C2211yescharacteristic
21C2×C3×C5×C4⋊C4C2212yes—
22C2×C3×C5×C4⋊C4C2211yescharacteristic
23C2×C3×C42×C5C2211yescharacteristic
24C2×C3×#685C2211yescharacteristic
25C2×C3×#685C2212yes—
26C2×C3×#685C2211yescharacteristic
27C2×C3×C4⋊Dic5C2212yes—
28C2×C3×C4⋊Dic5C2212yes—
29C2×C3×C4⋊Dic5C2211yescharacteristic
30C2×C3×C4⋊Dic5C2211yescharacteristic
31C2×C3×#683C2211yescharacteristic
32C2×C3×#683C2211yescharacteristic
33C2×C3×#683C2212yes—
34C2×C3×#683C2212yes—
35C2×C3×#683C2212yes—
36C2×C3×C4×Dic5C2211yescharacteristic
37C2×C3×C4×Dic5C2212yes—
38C3×#4043C22116yes—
39C3×#4042C22116yes—
40C3×#4038C2218yes—
41C3×D5×C4⋊C4C2218yes—
42C3×#4036C2218yescomplemented
43C3×#4035C22116yescomplemented
44C3×#4034C2218yescomplemented
45C3×#4034C22116yescomplemented
46C3×#4018C2218yes—
47C3×#4015C2218yescomplemented
48C2×C3×#544—51nomaximal, Hall
49C2×C5×#125C2×C311yescharacteristic, complemented
50#66023C2×C3116yesdirect product factor
51C2×#4043C2×C312yes—
52C2×#4042C2×C312yes—
53C2×#4038C2×C311yescharacteristic
54C2×D5×C4⋊C4C2×C311yescharacteristic
55C2×#4036C2×C311yescharacteristic, complemented
56C2×#4035C2×C312yescomplemented
57C2×#4034C2×C311yescharacteristic, complemented
58C2×#4034C2×C312yescomplemented
59C2×#4018C2×C311yescharacteristic
60C2×#4015C2×C311yescharacteristic, complemented
61C23×C3×D5C2311yescharacteristic
62C22×C3×C4×C5C2311yescharacteristic
63C22×C3×C4×C5C2312yes—
64C22×C3×C4×C5C2311yescharacteristic
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×Dic5C2311yescharacteristic
68C22×C3×Dic5C2312yes—
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2311yescharacteristic
71C22×C3×Dic5C2311yescharacteristic
72C2×C3×C4×D5—44no—
73C2×C3×C4×D5Q818yescomplemented
74C2×C3×C4×D5C2318yes—
75C2×C3×C4×D5C2314yes—
76C2×C3×Dic10—44no—
77C2×C3×Dic10—44no—
78C2×C3×Dic10C2318yes—
79C2×C3×Dic10C2318yes—
80C3×C5×C4⋊C4C2314yes—
81C3×C5×C4⋊C4C2318yes—
82C3×C5×C4⋊C4C2318yes—
83C3×C5×C4⋊C4C2314yes—
84C3×C42×C5C2314yes—
85C3×#685C2314yes—
86C3×#685C2314yes—
87C3×#685C2318yes—
88C3×C4⋊Dic5C2314yes—
89C3×C4⋊Dic5C2318yes—
90C3×C4⋊Dic5C2314yes—
91C3×C4⋊Dic5C2318yes—
92C3×#683C2314yes—
93C3×#683C2314yes—
94C3×#683C2318yes—
95C3×#683C2318yes—
96C3×#683C2318yes—
97C3×C4×Dic5C2314yes—
98C3×C4×Dic5C2318yes—
99C3×#544—516no—
100C2×C3×C4⋊Q8—52no—
101C2×C3×C4⋊Q8—51no—
102C2×C3×C4⋊Q8—51no—
103C2×C3×#125—52no—
104C2×C3×#125—51no—
105C2×C3×#125D511yescharacteristic, complemented
106C2×C3×C22⋊Q8—52no—
107C2×C3×C22⋊Q8—52no—
108C2×C3×#117—51no—
109C2×C3×#117—51no—
110C22×C3×C4⋊C4—51no—
111C22×C4×D5C22×C312yes—
112C22×C4×D5C22×C311yescharacteristic
113C22×Dic10C22×C312yes—
114C22×Dic10C22×C312yes—
115C5×#125C22×C318yescomplemented
116C2×C5×C4⋊C4C22×C311yescharacteristic
117C2×C5×C4⋊C4C22×C312yes—
118C2×C5×C4⋊C4C22×C312yes—
119C2×C5×C4⋊C4C22×C311yescharacteristic
120C2×C42×C5C22×C311yescharacteristic
121C2×#685C22×C311yescharacteristic
122C2×#685C22×C311yescharacteristic
123C2×#685C22×C312yes—
124C2×C4⋊Dic5C22×C311yescharacteristic
125C2×C4⋊Dic5C22×C312yes—
126C2×C4⋊Dic5C22×C311yescharacteristic
127C2×C4⋊Dic5C22×C312yes—
128C2×#683C22×C311yescharacteristic
129C2×#683C22×C311yescharacteristic
130C2×#683C22×C312yes—
131C2×#683C22×C312yes—
132C2×#683C22×C312yes—
133C2×C4×Dic5C22×C311yescharacteristic
134C2×C4×Dic5C22×C312yes—
135#4043C22×C3116yes—
136#4042C22×C3116yes—
137#4038C22×C318yes—
138D5×C4⋊C4C22×C318yes—
139#4036C22×C318yescomplemented
140#4035C22×C3116yescomplemented
141#4034C22×C318yescomplemented
142#4034C22×C3116yescomplemented
143#4018C22×C318yes—
144#4015C22×C318yescomplemented
145C2×#544—51noSylow
146C23×C3×C5C2411yescharacteristic
147C22×C3×D5—22no—
148C22×C3×D5—22no—
149C22×C3×D5C2×Q814yes—
150C22×C3×D5C2412yes—
151C2×C3×C4×C5—22no—
152C2×C3×C4×C5—24no—
153C2×C3×C4×C5—22no—
154C2×C3×C4×C5—24no—
155C2×C3×C4×C5C2×Q814yes—
156C2×C3×C4×C5C2414yes—
157C2×C3×C4×C5C2414yes—
158C2×C3×C4×C5C2412yes—
159C2×C3×C4×C5C2412yes—
160C2×C3×C4×C5C2412yes—
161C2×C3×Dic5—22no—
162C2×C3×Dic5—24no—
163C2×C3×Dic5—24no—
164C2×C3×Dic5—22no—
165C2×C3×Dic5C2×Q814yes—
166C2×C3×Dic5C2412yes—
167C2×C3×Dic5C2412yes—
168C2×C3×Dic5C2414yes—
169C2×C3×Dic5C2414yes—
170C2×C3×Dic5C2412yes—
171C3×C4×D5—48no—
172C3×C4×D5C2×Q8116yescomplemented
173C3×Dic10—48no—
174C3×Dic10—48no—
175C22×C3×Q8—52no—
176C22×C3×Q8—52no—
177C23×C3×C4—51no—
178C23×C3×C4—52no—
179C3×C4⋊Q8—516no—
180C3×C4⋊Q8—58no—
181C3×C4⋊Q8—58no—
182C3×#125—516no—
183C3×#125—58no—
184C3×#125C2×D518yescomplemented
185C3×C22⋊Q8—516no—
186C3×C22⋊Q8—516no—
187C3×#117—58no—
188C3×#117—58no—
189C2×C3×C4⋊C4—52no—
190C2×C3×C4⋊C4—51no—
191C2×C3×C4⋊C4—51no—
192C2×C3×C4⋊C4—51no—
193C2×C3×C4⋊C4—51no—
194C2×C3×C4⋊C4—52no—
195C2×C3×C4⋊C4—52no—
196C2×C3×C4⋊C4—52no—
197C2×C3×C4⋊C4—52no—
198C2×C3×C4⋊C4—58no—
199C2×C3×C4⋊C4C2×D511yescharacteristic
200C2×C3×C4⋊C4C2×D511yescharacteristic
201C2×C3×C4⋊C4C2×D512yes—
202C2×C3×C4⋊C4C2×D512yes—
203C2×C3×C22⋊C4—51no—
204C2×C3×C22⋊C4—52no—
205C2×C3×C22⋊C4—51no—
206C2×C3×C42—52no—
207C2×C3×C42—51no—
208C2×C3×C42C2×D511yescharacteristic
209C23×D5C23×C311yescharacteristic
210C22×C4×C5C23×C311yescharacteristic
211C22×C4×C5C23×C311yescharacteristic
212C22×C4×C5C23×C312yes—
213C22×C4×C5C23×C312yes—
214C22×C4×C5C23×C311yescharacteristic
215C22×Dic5C23×C312yes—
216C22×Dic5C23×C311yescharacteristic
217C22×Dic5C23×C312yes—
218C22×Dic5C23×C311yescharacteristic
219C22×Dic5C23×C311yescharacteristic
220C2×C4×D5—44no—
221C2×C4×D5C3×Q818yescomplemented
222C2×C4×D5C23×C318yes—
223C2×C4×D5C23×C314yes—
224C2×Dic10—44no—
225C2×Dic10—44no—
226C2×Dic10C23×C318yes—
227C2×Dic10C23×C318yes—
228C5×C4⋊C4C23×C314yes—
229C5×C4⋊C4C23×C318yes—
230C5×C4⋊C4C23×C318yes—
231C5×C4⋊C4C23×C314yes—
232C42×C5C23×C314yes—
233#685C23×C314yes—
234#685C23×C314yes—
235#685C23×C318yes—
236C4⋊Dic5C23×C314yes—
237C4⋊Dic5C23×C318yes—
238C4⋊Dic5C23×C314yes—
239C4⋊Dic5C23×C318yes—
240#683C23×C314yes—
241#683C23×C314yes—
242#683C23×C318yes—
243#683C23×C318yes—
244#683C23×C318yes—
245C4×Dic5C23×C314yes—
246C4×Dic5C23×C318yes—
247#544—516no—
248C2×C4⋊Q8—52no—
249C2×C4⋊Q8—51no—
250C2×C4⋊Q8—51no—
251C2×#125—52no—
252C2×#125—51no—
253C2×#125C3×D511yescharacteristic, complemented
254C2×C22⋊Q8—52no—
255C2×C22⋊Q8—52no—
256C2×#117—51no—
257C2×#117—51no—
258C22×C4⋊C4—51no—
259C22×C3×C5C22×Q812yes—
260C22×C3×C5H(5,𝔽2)12yes—
261C22×C3×C52−1+412yes—
262C22×C3×C5C2511yescharacteristic
263C2×C3×D5—28no—
264C2×C3×D5—22no—
265C2×C3×D5—22no—
266C2×C3×D5C22×Q814yes—
267C3×C4×C5—22no—
268C3×C4×C5—24no—
269C3×C4×C5—24no—
270C3×C4×C5—22no—
271C3×C4×C5C22×Q814yes—
272C3×Dic5—22no—
273C3×Dic5—24no—
274C3×Dic5—24no—
275C3×Dic5—22no—
276C3×Dic5C22×Q814yes—
277C24×C3—51no—
278C2×C3×Q8—58no—
279C2×C3×Q8—58no—
280C2×C3×Q8—204no—
281C2×C3×Q8—204no—
282C22×C3×C4—51no—
283C22×C3×C4—58no—
284C22×C3×C4—54no—
285C22×C3×C4—51no—
286C22×C3×C4—51no—
287C22×C3×C4—52no—
288C22×C3×C4—52no—
289C22×C3×C4—58no—
290C22×C3×C4—204no—
291C22×C3×C4C22×D512yes—
292C22×C3×C4C22×D511yescharacteristic
293C22×C3×C4C22×D511yescharacteristic
294C22×C3×C4C22×D512yes—
295C22×C3×C4C22×D511yescharacteristic
296C3×C4⋊C4—58no—
297C3×C4⋊C4—54no—
298C3×C4⋊C4—54no—
299C3×C4⋊C4—58no—
300C3×C4⋊C4—58no—
301C3×C4⋊C4—54no—
302C3×C4⋊C4—54no—
303C3×C4⋊C4—58no—
304C3×C4⋊C4—58no—
305C3×C4⋊C4C22×D514yes—
306C3×C4⋊C4C22×D514yes—
307C3×C4⋊C4C22×D518yes—
308C3×C4⋊C4C22×D518yes—
309C3×C22⋊C4—54no—
310C3×C22⋊C4—58no—
311C3×C22⋊C4—54no—
312C3×C42—58no—
313C3×C42—54no—
314C3×C42C22×D514yes—
315C23×C5C24×C311yescharacteristic
316C22×D5—22no—
317C22×D5—22no—
318C22×D5C2×C3×Q814yes—
319C22×D5C24×C312yes—
320C2×C4×C5—22no—
321C2×C4×C5—24no—
322C2×C4×C5—22no—
323C2×C4×C5—24no—
324C2×C4×C5C2×C3×Q814yes—
325C2×C4×C5C24×C314yes—
326C2×C4×C5C24×C314yes—
327C2×C4×C5C24×C312yes—
328C2×C4×C5C24×C312yes—
329C2×C4×C5C24×C312yes—
330C2×Dic5—22no—
331C2×Dic5—24no—
332C2×Dic5—24no—
333C2×Dic5—22no—
334C2×Dic5C2×C3×Q814yes—
335C2×Dic5C24×C312yes—
336C2×Dic5C24×C312yes—
337C2×Dic5C24×C314yes—
338C2×Dic5C24×C314yes—
339C2×Dic5C24×C312yes—
340C4×D5—48no—
341C4×D5C2×C3×Q8116yescomplemented
342Dic10—48no—
343Dic10—48no—
344C22×Q8—52no—
345C22×Q8—52no—
346C23×C4—51no—
347C23×C4—52no—
348C4⋊Q8—516no—
349C4⋊Q8—58no—
350C4⋊Q8—58no—
351#125—516no—
352#125—58no—
353#125C2×C3×D518yescomplemented
354C22⋊Q8—516no—
355C22⋊Q8—516no—
356#117—58no—
357#117—58no—
358C2×C4⋊C4—52no—
359C2×C4⋊C4—51no—
360C2×C4⋊C4—51no—
361C2×C4⋊C4—51no—
362C2×C4⋊C4—51no—
363C2×C4⋊C4—52no—
364C2×C4⋊C4—52no—
365C2×C4⋊C4—52no—
366C2×C4⋊C4—52no—
367C2×C4⋊C4—58no—
368C2×C4⋊C4C2×C3×D511yescharacteristic
369C2×C4⋊C4C2×C3×D511yescharacteristic
370C2×C4⋊C4C2×C3×D512yes—
371C2×C4⋊C4C2×C3×D512yes—
372C2×C22⋊C4—51no—
373C2×C22⋊C4—52no—
374C2×C22⋊C4—51no—
375C2×C42—52no—
376C2×C42—51no—
377C2×C42C2×C3×D511yescharacteristic
378C2×C3×C5#54414yescomplemented
379C2×C3×C5C23×Q811yescharacteristic
380C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
381C2×C3×C5C2×2−1+411yescharacteristic
382C3×D5—24no—
383C23×C3—54no—
384C23×C3—52no—
385C23×C3—102no—
386C23×C3—102no—
387C23×C3C23×D511yescharacteristic
388C3×Q8—208no—
389C3×Q8—208no—
390C2×C3×C4—24no—
391C2×C3×C4—22no—
392C2×C3×C4—24no—
393C2×C3×C4—22no—
394C2×C3×C4—54no—
395C2×C3×C4—52no—
396C2×C3×C4—516no—
397C2×C3×C4—52no—
398C2×C3×C4—52no—
399C2×C3×C4—54no—
400C2×C3×C4—54no—
401C2×C3×C4—104no—
402C2×C3×C4—102no—
403C2×C3×C4—104no—
404C2×C3×C4—102no—
405C2×C3×C4—208no—
406C2×C3×C4Q8×D514yes—
407C2×C3×C4C23×D514yes—
408C2×C3×C4C23×D512yes—
409C2×C3×C4C23×D512yes—
410C2×C3×C4C23×D514yes—
411C2×C3×C4C23×D512yes—
412C22×C5C22×C3×Q812yes—
413C22×C5C3×H(5,𝔽2)12yes—
414C22×C5C3×2−1+412yes—
415C22×C5C25×C311yescharacteristic
416C2×D5—22no—
417C2×D5—22no—
418C2×D5—28no—
419C2×D5C22×C3×Q814yes—
420C4×C5—22no—
421C4×C5—24no—
422C4×C5—24no—
423C4×C5—22no—
424C4×C5C22×C3×Q814yes—
425Dic5—22no—
426Dic5—24no—
427Dic5—24no—
428Dic5—22no—
429Dic5C22×C3×Q814yes—
430C24—51no—
431C2×Q8—58no—
432C2×Q8—58no—
433C2×Q8—204no—
434C2×Q8—204no—
435C22×C4—51no—
436C22×C4—58no—
437C22×C4—54no—
438C22×C4—51no—
439C22×C4—51no—
440C22×C4—52no—
441C22×C4—52no—
442C22×C4—58no—
443C22×C4—204no—
444C22×C4C22×C3×D512yes—
445C22×C4C22×C3×D511yescharacteristic
446C22×C4C22×C3×D511yescharacteristic
447C22×C4C22×C3×D512yes—
448C22×C4C22×C3×D511yescharacteristic
449C4⋊C4—58no—
450C4⋊C4—54no—
451C4⋊C4—54no—
452C4⋊C4—54no—
453C4⋊C4—54no—
454C4⋊C4—58no—
455C4⋊C4—58no—
456C4⋊C4—58no—
457C4⋊C4—58no—
458C4⋊C4C22×C3×D514yes—
459C4⋊C4C22×C3×D514yes—
460C4⋊C4C22×C3×D518yes—
461C4⋊C4C22×C3×D518yes—
462C22⋊C4—54no—
463C22⋊C4—58no—
464C22⋊C4—54no—
465C42—58no—
466C42—54no—
467C42C22×C3×D514yes—
468C3×C5C2×#54411yescharacteristic, complemented, Hall
469C22×C3—54no—
470C22×C3—108no—
471C22×C3—102no—
472C22×C3—102no—
473C22×C3C2×Q8×D512yes—
474C22×C3#414912yes—
475C22×C3#415012yes—
476C22×C3C24×D511yescharacteristic
477C3×C4—24no—
478C3×C4—22no—
479C3×C4—24no—
480C3×C4—22no—
481C3×C4—54no—
482C3×C4—104no—
483C3×C4—102no—
484C3×C4—104no—
485C3×C4—102no—
486C3×C4C2×Q8×D514yes—
487C2×C5C3×#54414yescomplemented
488C2×C5C23×C3×Q811yescharacteristic
489C2×C5C2×C3×H(5,𝔽2)11yescharacteristic
490C2×C5C2×C3×2−1+411yescharacteristic
491D5—24no—
492C23—54no—
493C23—52no—
494C23—102no—
495C23—102no—
496C23C23×C3×D511yescharacteristic
497Q8—208no—
498Q8—208no—
499C2×C4—24no—
500C2×C4—22no—
501C2×C4—24no—
502C2×C4—22no—
503C2×C4—54no—
504C2×C4—52no—
505C2×C4—516no—
506C2×C4—52no—
507C2×C4—52no—
508C2×C4—54no—
509C2×C4—54no—
510C2×C4—104no—
511C2×C4—102no—
512C2×C4—104no—
513C2×C4—102no—
514C2×C4—208no—
515C2×C4C3×Q8×D514yes—
516C2×C4C23×C3×D514yes—
517C2×C4C23×C3×D512yes—
518C2×C4C23×C3×D512yes—
519C2×C4C23×C3×D514yes—
520C2×C4C23×C3×D512yes—
521C2×C3—104no—
522C2×C3#6602314yesdirect product factor
523C2×C3C22×Q8×D511yescharacteristic
524C2×C3C2×#414911yescharacteristic
525C2×C3C2×#415011yescharacteristic
526C5C2×C3×#54411yescharacteristic, complemented, Sylow
527C22—54no—
528C22—102no—
529C22—102no—
530C22—108no—
531C22C2×C3×Q8×D512yes—
532C22C3×#414912yes—
533C22C3×#415012yes—
534C22C24×C3×D511yescharacteristic
535C4—24no—
536C4—22no—
537C4—24no—
538C4—22no—
539C4—54no—
540C4—104no—
541C4—102no—
542C4—104no—
543C4—102no—
544C4C2×C3×Q8×D514yes—
545C3C2×#6602311yescharacteristic, direct product factor, Sylow
546C2—104no—
547C2C3×#6602314yesdirect product factor
548C2C22×C3×Q8×D511yescharacteristic
549C2C2×C3×#414911yescharacteristic
550C2C2×C3×#415011yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutator, cosocleC22×C5C25×C3
FrattiniC22C24×C3×D5
FittingC2×C3×C5×#125C2
socleC23×C3×C5C24
prime radicalC23×C3×D5C23
hypercenterC2×C3×#125D5
hypocenterC5C2×C3×#544
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C2×C3×#125

Complements

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

NH ≅ G/Ntype
1. C2×C3×C5×#125C2semidirect
2. C3×#66023C2direct (N × H)
7. C2×C3×#4036C2semidirect
8. C2×C3×#4035C2semidirect
9. C2×C3×#4034C2semidirect
10. C2×C3×#4034C2semidirect
12. C2×C3×#4015C2semidirect
13. C2×#66023C3direct (N × H)
18. C3×C5×#125C22semidirect
42. C3×#4036C22semidirect
43. C3×#4035C22semidirect
44. C3×#4034C22semidirect
45. C3×#4034C22semidirect
47. C3×#4015C22semidirect
49. C2×C5×#125C2×C3semidirect
50. #66023C2×C3direct (N × H)
55. C2×#4036C2×C3semidirect
56. C2×#4035C2×C3semidirect
57. C2×#4034C2×C3semidirect
58. C2×#4034C2×C3semidirect
60. C2×#4015C2×C3semidirect
73. C2×C3×C4×D5Q8semidirect
105. C2×C3×#125D5semidirect
115. C5×#125C22×C3semidirect
139. #4036C22×C3semidirect
140. #4035C22×C3semidirect
141. #4034C22×C3semidirect
142. #4034C22×C3semidirect
144. #4015C22×C3semidirect
172. C3×C4×D5C2×Q8semidirect
184. C3×#125C2×D5semidirect
221. C2×C4×D5C3×Q8semidirect
253. C2×#125C3×D5semidirect
341. C4×D5C2×C3×Q8semidirect
353. #125C2×C3×D5semidirect
378. C2×C3×C5#544semidirect
468. C3×C5C2×#544semidirect
487. C2×C5C3×#544semidirect
522. C2×C3#66023direct (N × H)
526. C5C2×C3×#544semidirect
545. C3C2×#66023direct (N × H)
547. C2C3×#66023direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×C5×#1252
C3×#660232
C2×C3×#40432
C2×C3×#40422
C2×C3×#40382
C2×C3×D5×C4⋊C42
C2×C3×#40362
C2×C3×#40352
C2×C3×#40342
C2×C3×#40182
C2×C3×#40152
C2×#660233
C2×C3×#5445