Finite Group Databasebeta

← C2×C3×#65527 #14423413

Subgroups — C2×C3×#65527 #14423413

Order 1920.

1624 conjugacy classes of subgroups.

The subgroup lattice has 576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C5×#41C211yesmaximal, characteristic, complemented
2C22×C3×#688C211yesmaximal, characteristic, complemented
3C22×C3×#686C211yesmaximal, characteristic, complemented
4C2×C3×#4076C211yesmaximal, characteristic, complemented
5C3×#65527C218yesmaximal, direct product factor
6C2×C3×#3967C211yesmaximal, characteristic, complemented
7C2×C3×#3964C211yesmaximal, characteristic, complemented
8C2×C3×C22⋊#168C211yesmaximal, characteristic, complemented
9C2×#65527C311yesmaximal, characteristic, direct product factor, Hall
10C2×C3×C5×#41—24no—
11C2×C3×C5×#41—24no—
12C2×C3×C5×#41—22no—
13C2×C3×C5×#41C2214yescomplemented
14C22×C3×C5×Q8C2211yescharacteristic
15C22×C3×C5×D4—21no—
16C22×C3×C5×D4C2211yescharacteristic
17C23×C3×C4×C5—21no—
18C23×C3×C4×C5C2211yescharacteristic
19C22×C3×C22⋊D5—21no—
20C22×C3×D20C2211yescharacteristic
21C2×C3×#688—24no—
22C2×C3×#688C2214yescomplemented
23C2×C3×#686—24no—
24C2×C3×#686C2214yescomplemented
25C3×#4076—22no—
26C3×#4076C2214yescomplemented
27C2×C3×#685—21no—
28C2×C3×C4⋊Dic5C2211yescharacteristic
29C22×C3×#168C2211yescharacteristic
30C22×C3×#168C2211yescharacteristic
31C3×#3967C2214yescomplemented
32C3×#3964C2214yescomplemented
33C3×C22⋊#168C2214yescomplemented
34C2×C3×#449—51nomaximal, Hall
35C22×C5×#41C2×C311yescharacteristic, complemented
36C22×#688C2×C311yescharacteristic, complemented
37C22×#686C2×C311yescharacteristic, complemented
38C2×#4076C2×C311yescharacteristic, complemented
39#65527C2×C318yesdirect product factor
40C2×#3967C2×C311yescharacteristic, complemented
41C2×#3964C2×C311yescharacteristic, complemented
42C2×C22⋊#168C2×C311yescharacteristic, complemented
43C24×C3×C5—21no—
44C24×C3×C5D411yescharacteristic
45C23×C3×D5—21no—
46C3×C5×#41—216no—
47C3×C5×#41—28no—
48C3×C5×#41—28no—
49C2×C3×C5×Q8—22no—
50C2×C3×C5×Q8—21no—
51C2×C3×C5×Q8D414yescomplemented
52C2×C3×C5×Q8C2312yes—
53C2×C3×C5×D4—28no—
54C2×C3×C5×D4—24no—
55C2×C3×C5×D4—21no—
56C2×C3×C5×D4—22no—
57C2×C3×C5×D4D414yescomplemented
58C2×C3×C5×D4C2312yes—
59C22×C3×C4×C5—28no—
60C22×C3×C4×C5—21no—
61C22×C3×C4×C5—24no—
62C22×C3×C4×C5—22no—
63C22×C3×C4×C5—22no—
64C22×C3×C4×C5D411yescharacteristic
65C22×C3×C4×C5D412yes—
66C22×C3×C4×C5C2312yes—
67C22×C3×C4×C5C2311yescharacteristic
68C2×C3×C22⋊D5—24no—
69C2×C3×C22⋊D5—44no—
70C22×C3×Dic5—21no—
71C2×C3×D20—22no—
72C2×C3×D20—22no—
73C2×C3×D20—21no—
74C2×C3×D20C2312yes—
75C3×#688—28no—
76C3×#686—28no—
77C3×#685—24no—
78C3×C4⋊Dic5—21no—
79C3×C4⋊Dic5C2312yes—
80C2×C3×#168—22no—
81C2×C3×#168—22no—
82C2×C3×#168C2312yes—
83C2×C3×#168C2312yes—
84C22×C3×#41D511yescharacteristic, complemented
85C22×C3×SD16—51no—
86C22×C3×D8—51no—
87C2×C3×#121—51no—
88C3×#449—58no—
89C2×C3×#103—51no—
90C2×C3×#102—51no—
91C2×C3×C22⋊C8—51no—
92C2×C5×#41—24no—
93C2×C5×#41—24no—
94C2×C5×#41—22no—
95C2×C5×#41C22×C314yescomplemented
96C22×C5×Q8C22×C311yescharacteristic
97C22×C5×D4—21no—
98C22×C5×D4C22×C311yescharacteristic
99C23×C4×C5—21no—
100C23×C4×C5C22×C311yescharacteristic
101C22×C22⋊D5—21no—
102C22×D20C22×C311yescharacteristic
103C2×#688—24no—
104C2×#688C22×C314yescomplemented
105C2×#686—24no—
106C2×#686C22×C314yescomplemented
107#4076—22no—
108#4076C22×C314yescomplemented
109C2×#685—21no—
110C2×C4⋊Dic5C22×C311yescharacteristic
111C22×#168C22×C311yescharacteristic
112C22×#168C22×C311yescharacteristic
113#3967C22×C314yescomplemented
114#3964C22×C314yescomplemented
115C22⋊#168C22×C314yescomplemented
116C2×#449—51noSylow
117C23×C3×C5—22no—
118C23×C3×C5—24no—
119C23×C3×C5—22no—
120C23×C3×C5—22no—
121C23×C3×C5—22no—
122C23×C3×C5—42no—
123C23×C3×C5—42no—
124C23×C3×C5C2×D412yes—
125C23×C3×C5C2×D411yescharacteristic
126C22×C3×D5—22no—
127C22×C3×D5—42no—
128C22×C3×D5—42no—
129C22×C3×D5—42no—
130C3×C5×Q8—24no—
131C3×C5×Q8—22no—
132C3×C5×Q8C2×D414yescomplemented
133C3×C5×D4—216no—
134C3×C5×D4—24no—
135C3×C5×D4—22no—
136C3×C5×D4C2×D414yescomplemented
137C2×C3×C4×C5—216no—
138C2×C3×C4×C5—22no—
139C2×C3×C4×C5—24no—
140C2×C3×C4×C5—22no—
141C2×C3×C4×C5—24no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5C2×D412yes—
145C2×C3×C4×C5C2×D411yescharacteristic
146C2×C3×C4×C5C2×D412yes—
147C2×C3×C4×C5C2×D412yes—
148C2×C3×C4×C5C2411yescharacteristic
149C3×C22⋊D5—48no—
150C2×C3×Dic5—22no—
151C2×C3×Dic5—42no—
152C3×D20—22no—
153C3×D20—22no—
154C3×D20—42no—
155C3×#168—22no—
156C3×#168—22no—
157C2×C3×#41—24no—
158C2×C3×#41—24no—
159C2×C3×#41—22no—
160C2×C3×#41C2×D514yescomplemented
161C22×C3×Q8C2×D511yescharacteristic
162C22×C3×D4—21no—
163C22×C3×D4—51no—
164C22×C3×D4—101no—
165C22×C3×D4C2×D511yescharacteristic
166C23×C3×C4—21no—
167C23×C3×C4C2×D511yescharacteristic
168C2×C3×SD16—54no—
169C2×C3×SD16—104no—
170C2×C3×D8—54no—
171C2×C3×D8—104no—
172C22×C3×C8—51no—
173C22×C3×C8—51no—
174C3×#121—54no—
175C3×#121—102no—
176C2×C3×C4⋊C4—51no—
177C2×C3×C22⋊C4—101no—
178C3×#103—54no—
179C3×#102—54no—
180C3×C22⋊C8—54no—
181C24×C5—21no—
182C24×C5C3×D411yescharacteristic
183C23×D5—21no—
184C5×#41—216no—
185C5×#41—28no—
186C5×#41—28no—
187C2×C5×Q8—22no—
188C2×C5×Q8—21no—
189C2×C5×Q8C3×D414yescomplemented
190C2×C5×Q8C23×C312yes—
191C2×C5×D4—28no—
192C2×C5×D4—24no—
193C2×C5×D4—21no—
194C2×C5×D4—22no—
195C2×C5×D4C3×D414yescomplemented
196C2×C5×D4C23×C312yes—
197C22×C4×C5—28no—
198C22×C4×C5—21no—
199C22×C4×C5—24no—
200C22×C4×C5—22no—
201C22×C4×C5—22no—
202C22×C4×C5C3×D411yescharacteristic
203C22×C4×C5C3×D412yes—
204C22×C4×C5C23×C312yes—
205C22×C4×C5C23×C311yescharacteristic
206C2×C22⋊D5—24no—
207C2×C22⋊D5—44no—
208C22×Dic5—21no—
209C2×D20—22no—
210C2×D20—22no—
211C2×D20—21no—
212C2×D20C23×C312yes—
213#688—28no—
214#686—28no—
215#685—24no—
216C4⋊Dic5—21no—
217C4⋊Dic5C23×C312yes—
218C2×#168—22no—
219C2×#168—22no—
220C2×#168C23×C312yes—
221C2×#168C23×C312yes—
222C22×#41C3×D511yescharacteristic, complemented
223C22×SD16—51no—
224C22×D8—51no—
225C2×#121—51no—
226#449—58no—
227C2×#103—51no—
228C2×#102—51no—
229C2×C22⋊C8—51no—
230C22×C3×C5—22no—
231C22×C3×C5—24no—
232C22×C3×C5—22no—
233C22×C3×C5—22no—
234C22×C3×C5—42no—
235C22×C3×C5—42no—
236C22×C3×C5—44no—
237C22×C3×C5—48no—
238C22×C3×C5#12012yes—
239C22×C3×C5#13512yes—
240C22×C3×C5AGL(1,ℤ/8)12yes—
241C22×C3×C5C22×D411yescharacteristic
242C2×C3×D5—42no—
243C2×C3×D5—42no—
244C2×C3×D5—42no—
245C2×C3×D5—84no—
246C3×C4×C5—22no—
247C3×C4×C5—24no—
248C3×C4×C5#12012yes—
249C3×C4×C5C22×D411yescharacteristic
250C3×C4×C5C22×D411yescharacteristic
251C3×Dic5—42no—
252C24×C3—21no—
253C24×C3—101no—
254C24×C3C22⋊D511yescharacteristic
255C3×#41—216no—
256C3×#41—28no—
257C3×#41—28no—
258C2×C3×Q8—22no—
259C2×C3×Q8—21no—
260C2×C3×Q8C22⋊D514yescomplemented
261C2×C3×Q8C22×D512yes—
262C2×C3×D4—28no—
263C2×C3×D4—24no—
264C2×C3×D4—21no—
265C2×C3×D4—22no—
266C2×C3×D4—52no—
267C2×C3×D4—104no—
268C2×C3×D4—102no—
269C2×C3×D4—102no—
270C2×C3×D4—101no—
271C2×C3×D4—204no—
272C2×C3×D4C22⋊D514yescomplemented
273C2×C3×D4C22×D512yes—
274C22×C3×C4—28no—
275C22×C3×C4—21no—
276C22×C3×C4—24no—
277C22×C3×C4—22no—
278C22×C3×C4—22no—
279C22×C3×C4—101no—
280C22×C3×C4C22⋊D512yes—
281C22×C3×C4C22⋊D511yescharacteristic
282C22×C3×C4C22×D512yes—
283C22×C3×C4C22×D511yescharacteristic
284C3×SD16—108no—
285C3×D8—108no—
286C2×C3×C8—52no—
287C2×C3×C8—52no—
288C2×C3×C8—102no—
289C2×C3×C8—102no—
290C3×C4⋊C4—52no—
291C3×C4⋊C4—101no—
292C3×C22⋊C4—104no—
293C23×C5—22no—
294C23×C5—24no—
295C23×C5—22no—
296C23×C5—22no—
297C23×C5—22no—
298C23×C5—42no—
299C23×C5—42no—
300C23×C5C2×C3×D412yes—
301C23×C5C2×C3×D411yescharacteristic
302C22×D5—22no—
303C22×D5—42no—
304C22×D5—42no—
305C22×D5—42no—
306C5×Q8—24no—
307C5×Q8—22no—
308C5×Q8C2×C3×D414yescomplemented
309C5×D4—216no—
310C5×D4—24no—
311C5×D4—22no—
312C5×D4C2×C3×D414yescomplemented
313C2×C4×C5—216no—
314C2×C4×C5—22no—
315C2×C4×C5—24no—
316C2×C4×C5—22no—
317C2×C4×C5—24no—
318C2×C4×C5—22no—
319C2×C4×C5—22no—
320C2×C4×C5C2×C3×D412yes—
321C2×C4×C5C2×C3×D411yescharacteristic
322C2×C4×C5C2×C3×D412yes—
323C2×C4×C5C2×C3×D412yes—
324C2×C4×C5C24×C311yescharacteristic
325C22⋊D5—48no—
326C2×Dic5—22no—
327C2×Dic5—42no—
328D20—22no—
329D20—22no—
330D20—42no—
331#168—22no—
332#168—22no—
333C2×#41—24no—
334C2×#41—24no—
335C2×#41—22no—
336C2×#41C2×C3×D514yescomplemented
337C22×Q8C2×C3×D511yescharacteristic
338C22×D4—21no—
339C22×D4—51no—
340C22×D4—101no—
341C22×D4C2×C3×D511yescharacteristic
342C23×C4—21no—
343C23×C4C2×C3×D511yescharacteristic
344C2×SD16—54no—
345C2×SD16—104no—
346C2×D8—54no—
347C2×D8—104no—
348C22×C8—51no—
349C22×C8—51no—
350#121—54no—
351#121—102no—
352C2×C4⋊C4—51no—
353C2×C22⋊C4—101no—
354#103—54no—
355#102—54no—
356C22⋊C8—54no—
357C2×C3×C5—42no—
358C2×C3×C5—44no—
359C2×C3×C5#44914yescomplemented
360C2×C3×C5C2×#12011yescharacteristic
361C2×C3×C5C2×#13511yescharacteristic
362C2×C3×C5C2×AGL(1,ℤ/8)11yescharacteristic
363C3×D5—82no—
364C23×C3—22no—
365C23×C3—22no—
366C23×C3—24no—
367C23×C3—22no—
368C23×C3—22no—
369C23×C3—42no—
370C23×C3—42no—
371C23×C3—102no—
372C23×C3—202no—
373C23×C3—202no—
374C23×C3—202no—
375C23×C3C2×C22⋊D512yes—
376C23×C3C2×C22⋊D511yescharacteristic
377C3×Q8—24no—
378C3×Q8—22no—
379C3×Q8C2×C22⋊D514yescomplemented
380C3×D4—216no—
381C3×D4—24no—
382C3×D4—22no—
383C3×D4—102no—
384C3×D4—102no—
385C3×D4—208no—
386C3×D4—202no—
387C3×D4C2×C22⋊D514yescomplemented
388C2×C3×C4—216no—
389C2×C3×C4—22no—
390C2×C3×C4—24no—
391C2×C3×C4—22no—
392C2×C3×C4—24no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—102no—
396C2×C3×C4—202no—
397C2×C3×C4C2×C22⋊D512yes—
398C2×C3×C4C2×C22⋊D511yescharacteristic
399C2×C3×C4C2×C22⋊D512yes—
400C2×C3×C4C2×C22⋊D512yes—
401C2×C3×C4C23×D511yescharacteristic
402C3×C8—102no—
403C3×C8—102no—
404C22×C5—22no—
405C22×C5—22no—
406C22×C5—22no—
407C22×C5—24no—
408C22×C5—42no—
409C22×C5—42no—
410C22×C5—44no—
411C22×C5—48no—
412C22×C5C3×#12012yes—
413C22×C5C3×#13512yes—
414C22×C5C3×AGL(1,ℤ/8)12yes—
415C22×C5C22×C3×D411yescharacteristic
416C2×D5—42no—
417C2×D5—42no—
418C2×D5—42no—
419C2×D5—84no—
420C4×C5—22no—
421C4×C5—24no—
422C4×C5C3×#12012yes—
423C4×C5C22×C3×D411yescharacteristic
424C4×C5C22×C3×D411yescharacteristic
425Dic5—42no—
426C24—21no—
427C24—101no—
428C24C3×C22⋊D511yescharacteristic
429#41—216no—
430#41—28no—
431#41—28no—
432C2×Q8—22no—
433C2×Q8—21no—
434C2×Q8C3×C22⋊D514yescomplemented
435C2×Q8C22×C3×D512yes—
436C2×D4—28no—
437C2×D4—24no—
438C2×D4—21no—
439C2×D4—22no—
440C2×D4—52no—
441C2×D4—104no—
442C2×D4—102no—
443C2×D4—102no—
444C2×D4—101no—
445C2×D4—204no—
446C2×D4C3×C22⋊D514yescomplemented
447C2×D4C22×C3×D512yes—
448C22×C4—28no—
449C22×C4—21no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—101no—
454C22×C4C3×C22⋊D511yescharacteristic
455C22×C4C3×C22⋊D512yes—
456C22×C4C22×C3×D512yes—
457C22×C4C22×C3×D511yescharacteristic
458SD16—108no—
459D8—108no—
460C2×C8—52no—
461C2×C8—52no—
462C2×C8—102no—
463C2×C8—102no—
464C4⋊C4—52no—
465C4⋊C4—101no—
466C22⋊C4—104no—
467C3×C5C2×#44911yescharacteristic, complemented, Hall
468C22×C3—22no—
469C22×C3—22no—
470C22×C3—22no—
471C22×C3—24no—
472C22×C3—42no—
473C22×C3—42no—
474C22×C3—44no—
475C22×C3—48no—
476C22×C3—202no—
477C22×C3—202no—
478C22×C3—202no—
479C22×C3—404no—
480C22×C3#409512yes—
481C22×C3#409612yes—
482C22×C3#409912yes—
483C22×C3C22×C22⋊D511yescharacteristic
484C3×C4—22no—
485C3×C4—24no—
486C3×C4—202no—
487C3×C4#409912yes—
488C3×C4C22×C22⋊D511yescharacteristic
489C3×C4C22×C22⋊D511yescharacteristic
490C2×C5—42no—
491C2×C5—44no—
492C2×C5C3×#44914yescomplemented
493C2×C5C2×C3×#12011yescharacteristic
494C2×C5C2×C3×#13511yescharacteristic
495C2×C5C2×C3×AGL(1,ℤ/8)11yescharacteristic
496D5—82no—
497C23—22no—
498C23—22no—
499C23—22no—
500C23—24no—
501C23—22no—
502C23—42no—
503C23—42no—
504C23—102no—
505C23—202no—
506C23—202no—
507C23—202no—
508C23C2×C3×C22⋊D512yes—
509C23C2×C3×C22⋊D511yescharacteristic
510Q8—24no—
511Q8—22no—
512Q8C2×C3×C22⋊D514yescomplemented
513D4—216no—
514D4—24no—
515D4—22no—
516D4—102no—
517D4—102no—
518D4—208no—
519D4—202no—
520D4C2×C3×C22⋊D514yescomplemented
521C2×C4—216no—
522C2×C4—22no—
523C2×C4—24no—
524C2×C4—22no—
525C2×C4—24no—
526C2×C4—22no—
527C2×C4—22no—
528C2×C4—102no—
529C2×C4—202no—
530C2×C4C2×C3×C22⋊D512yes—
531C2×C4C2×C3×C22⋊D511yescharacteristic
532C2×C4C2×C3×C22⋊D512yes—
533C2×C4C2×C3×C22⋊D512yes—
534C2×C4C23×C3×D511yescharacteristic
535C8—102no—
536C8—102no—
537C2×C3—42no—
538C2×C3—44no—
539C2×C3—402no—
540C2×C3#6552714yesdirect product factor
541C2×C3C2×#409511yescharacteristic
542C2×C3C2×#409611yescharacteristic
543C2×C3C2×#409911yescharacteristic
544C5C2×C3×#44911yescharacteristic, complemented, Sylow
545C22—22no—
546C22—22no—
547C22—22no—
548C22—24no—
549C22—42no—
550C22—42no—
551C22—44no—
552C22—48no—
553C22—202no—
554C22—202no—
555C22—202no—
556C22—404no—
557C22C3×#409512yes—
558C22C3×#409612yes—
559C22C3×#409912yes—
560C22C22×C3×C22⋊D511yescharacteristic
561C4—22no—
562C4—24no—
563C4—202no—
564C4C3×#409912yes—
565C4C22×C3×C22⋊D511yescharacteristic
566C4C22×C3×C22⋊D511yescharacteristic
567C3C2×#6552711yescharacteristic, direct product factor, Sylow
568C2—42no—
569C2—44no—
570C2—402no—
571C2C3×#6552714yesdirect product factor
572C2C2×C3×#409511yescharacteristic
573C2C2×C3×#409611yescharacteristic
574C2C2×C3×#409911yescharacteristic
subgroupG/H
centerC23×C3C2×C22⋊D5
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC22×C3×C5×#41C2
socleC23×C3×C5C2×D4
hypercenterC22×C3×#41D5
hypocenterC5C2×C3×#449
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C23×C3×C4 ◁ C22×C3×#41

Complements

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

NH ≅ G/Ntype
1. C22×C3×C5×#41C2semidirect
2. C22×C3×#688C2semidirect
3. C22×C3×#686C2semidirect
4. C2×C3×#4076C2semidirect
5. C3×#65527C2direct (N × H)
6. C2×C3×#3967C2semidirect
7. C2×C3×#3964C2semidirect
8. C2×C3×C22⋊#168C2semidirect
9. C2×#65527C3direct (N × H)
13. C2×C3×C5×#41C22semidirect
22. C2×C3×#688C22semidirect
24. C2×C3×#686C22semidirect
26. C3×#4076C22semidirect
31. C3×#3967C22semidirect
32. C3×#3964C22semidirect
33. C3×C22⋊#168C22semidirect
35. C22×C5×#41C2×C3semidirect
36. C22×#688C2×C3semidirect
37. C22×#686C2×C3semidirect
38. C2×#4076C2×C3semidirect
39. #65527C2×C3direct (N × H)
40. C2×#3967C2×C3semidirect
41. C2×#3964C2×C3semidirect
42. C2×C22⋊#168C2×C3semidirect
51. C2×C3×C5×Q8D4semidirect
57. C2×C3×C5×D4D4semidirect
84. C22×C3×#41D5semidirect
95. C2×C5×#41C22×C3semidirect
104. C2×#688C22×C3semidirect
106. C2×#686C22×C3semidirect
108. #4076C22×C3semidirect
113. #3967C22×C3semidirect
114. #3964C22×C3semidirect
115. C22⋊#168C22×C3semidirect
132. C3×C5×Q8C2×D4semidirect
136. C3×C5×D4C2×D4semidirect
160. C2×C3×#41C2×D5semidirect
189. C2×C5×Q8C3×D4semidirect
195. C2×C5×D4C3×D4semidirect
222. C22×#41C3×D5semidirect
260. C2×C3×Q8C22⋊D5semidirect
272. C2×C3×D4C22⋊D5semidirect
308. C5×Q8C2×C3×D4semidirect
312. C5×D4C2×C3×D4semidirect
336. C2×#41C2×C3×D5semidirect
359. C2×C3×C5#449semidirect
379. C3×Q8C2×C22⋊D5semidirect
387. C3×D4C2×C22⋊D5semidirect
434. C2×Q8C3×C22⋊D5semidirect
446. C2×D4C3×C22⋊D5semidirect
467. C3×C5C2×#449semidirect
492. C2×C5C3×#449semidirect
512. Q8C2×C3×C22⋊D5semidirect
520. D4C2×C3×C22⋊D5semidirect
540. C2×C3#65527direct (N × H)
544. C5C2×C3×#449semidirect
567. C3C2×#65527direct (N × H)
571. C2C3×#65527direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×C5×#412
C22×C3×#6882
C22×C3×#6862
C2×C3×#40762
C3×#655272
C2×C3×#39672
C2×C3×#39642
C2×C3×C22⋊#1682
C2×#655273
C2×C3×#4495