Finite Group Databasebeta

← C3×#10591420 #13158510

Subgroups — C3×#10591420 #13158510

Order 1728.

950 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#237C211yesmaximal, characteristic
2C3×#63841C211yesmaximal, characteristic, complemented
3C2×C3×D3×C3⋊C8C211yesmaximal, characteristic, complemented
4C3×#63659C211yesmaximal, characteristic, complemented
5C32×#832C211yesmaximal, characteristic, complemented
6C3×#63566C211yesmaximal, characteristic, complemented
7C3×#63565C211yesmaximal, characteristic, complemented
8C3×#5233—31nomaximal
9C3×#4772—31nomaximal
10#10591420C311yesmaximal, characteristic, direct product factor
11C2×C33×D4C2211yescharacteristic
12C2×C32×#67—21no—
13C22×C32×Dic3—21no—
14C32×#237—22no—
15C32×#237C414yescomplemented
16C2×C32×C4×D3C2211yescharacteristic
17C2×C32×Dic6C2211yescharacteristic
18C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
19C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
20C32×C4⋊Dic3C2211yescharacteristic
21C2×C32×C3⋊C8C2211yescharacteristic
22C3×(C2×D3)⋊Dic3—21no—
23C3×Dic32—21no—
24C3×D3×C3⋊C8—22no—
25C2×C32×#41—31no—
26C2×C3×#237—21no—
27C2×C3×#237D311yescharacteristic
28C2×C3×#237C2×C311yescharacteristic
29C3×#926—31no—
30C22×C3×C3⋊C8—31no—
31C2×C3×D3×C8—31no—
32C3×#892—31no—
33#63841C2×C311yescharacteristic, complemented
34C2×D3×C3⋊C8C2×C311yescharacteristic, complemented
35C32×#102—31no—
36#63659C2×C311yescharacteristic, complemented
37C3×#835—31no—
38C3×#835—31no—
39C3×#832—21no—
40C3×#832—31no—
41C3×#832—31no—
42C3×#832—61no—
43C3×#832D311yescharacteristic, complemented
44C3×#832C2×C311yescharacteristic, complemented
45C3×#816—31no—
46C3×#810—31no—
47#63566C2×C311yescharacteristic, complemented
48#63565C2×C311yescharacteristic, complemented
49C23×C33—21no—
50C22×C32×D3D411yescharacteristic
51C33×D4—21no—
52C33×D4C2×C412yes—
53C2×C33×C4C2311yescharacteristic
54C2×C3×C3⋊Dic3—21no—
55C32×#67—24no—
56C2×C32×Dic3—21no—
57C2×C32×Dic3—24no—
58C2×C32×Dic3—21no—
59C2×C32×Dic3D411yescharacteristic
60C32×C4×D3C2×C412yes—
61C32×C4×D3D412yes—
62C32×Dic6—21no—
63C32×Dic6C2×C412yes—
64C3×C3⋊(C3⋊C8)—21no—
65C32×C3⋊C8—21no—
66C3×#416—91no—
67#5233—31no—
68#4772—31no—
69C32×#41—34no—
70C32×#41—62no—
71C2×C32×Q8—31no—
72C2×C32×D4—21no—
73C2×C32×D4—21no—
74C2×C32×D4—21no—
75C2×C32×D4—41no—
76C2×C32×D4—61no—
77C2×C32×D4C2×D311yescharacteristic
78C2×C32×D4C2×D311yescharacteristic
79C2×C32×D4C22×C311yescharacteristic
80C22×C32×C4—31no—
81C22×C32×C4—61no—
82C2×C3×#67—22no—
83C2×C3×#67—21no—
84C2×C3×#67—21no—
85C22×C3×Dic3—22no—
86C22×C3×Dic3—21no—
87C22×C3×Dic3—21no—
88C3×#237—24no—
89C3×#237—24no—
90C3×#237—22no—
91C3×#237—22no—
92C3×#237Dic314yescomplemented
93C3×#237C3×C414yescomplemented
94C2×C3×C4×D3—21no—
95C2×C3×C4×D3C2×D311yescharacteristic
96C2×C3×C4×D3C22×C311yescharacteristic
97C2×C3×Dic6—21no—
98C2×C3×Dic6C2×D311yescharacteristic
99C2×C3×Dic6C22×C311yescharacteristic
100C2×C32×C8—31no—
101C32×C4⋊C4—31no—
102C4⋊(C3⋊Dic3)C22×C311yescharacteristic
103C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
104C3×#217—61no—
105C3×(C2×D3)⋊C4—61no—
106C3×C4⋊Dic3—21no—
107C3×C4⋊Dic3—31no—
108C3×C4⋊Dic3—31no—
109C3×C4⋊Dic3—61no—
110C3×C4⋊Dic3C2×D311yescharacteristic
111C3×C4⋊Dic3C22×C311yescharacteristic
112C3×C4×Dic3—61no—
113C3×C4×Dic3—61no—
114C2×C3×C3⋊C8—21no—
115C2×C3×C3⋊C8—31no—
116C2×C3×C3⋊C8—31no—
117C2×C3×C3⋊C8—62no—
118C2×C3×C3⋊C8—61no—
119C2×C3×C3⋊C8C2×D311yescharacteristic
120C2×C3×C3⋊C8C22×C311yescharacteristic
121C3×D3×C8—62no—
122(C2×D3)⋊Dic3—21no—
123Dic32—21no—
124D3×C3⋊C8—22no—
125C22×C33—22no—
126C22×C33—41no—
127C22×C33—41no—
128C22×C33C2×D411yescharacteristic
129C2×C32×D3—21no—
130C2×C32×D3—21no—
131C2×C32×D3C22⋊C412yes—
132C33×C4C22×C411yescharacteristic
133C33×C4C2×D411yescharacteristic
134C3×C3⋊Dic3—41no—
135C32×Dic3—22no—
136C32×Dic3—41no—
137C32×Dic3C22⋊C412yes—
138C2×C3×#41—31no—
139C2×C3×#41—31no—
140C2×C3×#41—61no—
141C2×#237C3×D311yescharacteristic
142C22×C3×C8—91no—
143C3×#117—91no—
144#926—31no—
145C22×C3⋊C8—31no—
146C2×D3×C8—31no—
147#892—31no—
148C3×#103—91no—
149C3×#103—91no—
150C3×#102—31no—
151C3×#102—31no—
152C3×#102—61no—
153C3×#102—91no—
154#835—31no—
155#835—31no—
156#832—31no—
157#832—31no—
158#832—61no—
159#832C3×D311yescharacteristic, complemented
160#816—31no—
161#810—31no—
162C23×C32—21no—
163C23×C32—22no—
164C23×C32—21no—
165C23×C32—21no—
166C23×C32—31no—
167C23×C32—41no—
168C23×C32—41no—
169C23×C32—42no—
170C22×C3×D3—21no—
171C22×C3×D3#6711yescharacteristic
172C22×C3×D3C3×D411yescharacteristic
173C32×Q8—32no—
174C32×Q8—61no—
175C32×D4—21no—
176C32×D4—22no—
177C32×D4—21no—
178C32×D4—21no—
179C32×D4—22no—
180C32×D4—22no—
181C32×D4—22no—
182C32×D4—42no—
183C32×D4—41no—
184C32×D4—41no—
185C32×D4—42no—
186C32×D4—64no—
187C32×D4C4×D312yes—
188C32×D4C2×Dic312yes—
189C32×D4C2×C3×C412yes—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—21no—
193C2×C32×C4—31no—
194C2×C32×C4—32no—
195C2×C32×C4—32no—
196C2×C32×C4—41no—
197C2×C32×C4—64no—
198C2×C32×C4—61no—
199C2×C32×C4—61no—
200C2×C32×C4C22×D311yescharacteristic
201C2×C32×C4C22×D311yescharacteristic
202C2×C32×C4C23×C311yescharacteristic
203C2×C3⋊Dic3—21no—
204C3×#67—28no—
205C3×#67—24no—
206C3×#67—24no—
207C2×C3×Dic3—22no—
208C2×C3×Dic3—28no—
209C2×C3×Dic3—21no—
210C2×C3×Dic3—21no—
211C2×C3×Dic3—24no—
212C2×C3×Dic3—24no—
213C2×C3×Dic3—21no—
214C2×C3×Dic3—21no—
215C2×C3×Dic3—21no—
216C2×C3×Dic3—41no—
217C2×C3×Dic3—61no—
218C2×C3×Dic3—61no—
219C2×C3×Dic3—121no—
220C2×C3×Dic3#6711yescharacteristic
221C2×C3×Dic3C3×D411yescharacteristic
222C3×C4×D3—22no—
223C3×C4×D3—22no—
224C3×C4×D3C2×Dic312yes—
225C3×C4×D3#6712yes—
226C3×C4×D3C2×C3×C412yes—
227C3×C4×D3C3×D412yes—
228C3×Dic6—22no—
229C3×Dic6—21no—
230C3×Dic6—21no—
231C3×Dic6—22no—
232C3×Dic6C2×Dic312yes—
233C3×Dic6C2×C3×C412yes—
234C32×C8—61no—
235C3⋊(C3⋊C8)—21no—
236C3×C3⋊C8—21no—
237C3×C3⋊C8—21no—
238C3×C3⋊C8—41no—
239C3×C3⋊C8—61no—
240C3×C3⋊C8—61no—
241C3×C3⋊C8—121no—
242#416—91noSylow
243C2×C33—42no—
244C2×C33C2×C22⋊C411yescharacteristic
245C2×C33#13511yescharacteristic
246C2×C33#13511yescharacteristic
247C32×D3—22no—
248C3×#41—34no—
249C3×#41—34no—
250C3×#41—64no—
251C3×#41—62no—
252C3×#41—62no—
253C3×#41—64no—
254C2×C3×Q8—31no—
255C2×C3×Q8—31no—
256C2×C3×Q8—61no—
257C2×C3×D4—21no—
258C2×C3×D4—21no—
259C2×C3×D4—21no—
260C2×C3×D4—41no—
261C2×C3×D4—61no—
262C2×C3×D4—61no—
263C2×C3×D4—62no—
264C2×C3×D4D3211yescharacteristic
265C2×C3×D4C2×C3×D311yescharacteristic
266C2×C3×D4C2×C3×D311yescharacteristic
267C22×C3×C4—31no—
268C22×C3×C4—31no—
269C22×C3×C4—61no—
270C22×C3×C4—61no—
271C22×C3×C4—61no—
272C22×C3×C4—62no—
273C2×#67—21no—
274C22×Dic3—21no—
275#237—22no—
276#237C3×Dic314yescomplemented
277C2×C4×D3C2×C3×D311yescharacteristic
278C2×Dic6C2×C3×D311yescharacteristic
279C2×C3×C8—31no—
280C2×C3×C8—31no—
281C2×C3×C8—61no—
282C2×C3×C8—91no—
283C2×C3×C8—182no—
284C3×C4⋊C4—31no—
285C3×C4⋊C4—31no—
286C3×C4⋊C4—61no—
287C3×C4⋊C4—91no—
288C3×C22⋊C4—181no—
289C3×C42—181no—
290#217—61no—
291(C2×D3)⋊C4—61no—
292C4⋊Dic3—31no—
293C4⋊Dic3—31no—
294C4⋊Dic3—61no—
295C4⋊Dic3C2×C3×D311yescharacteristic
296C4×Dic3—61no—
297C4×Dic3—61no—
298C2×C3⋊C8—31no—
299C2×C3⋊C8—31no—
300C2×C3⋊C8—61no—
301C2×C3⋊C8—62no—
302C2×C3⋊C8C2×C3×D311yescharacteristic
303D3×C8—62no—
304C22×C32—22no—
305C22×C32—24no—
306C22×C32—22no—
307C22×C32—22no—
308C22×C32—21no—
309C22×C32—21no—
310C22×C32—21no—
311C22×C32—32no—
312C22×C32—41no—
313C22×C32—42no—
314C22×C32—42no—
315C22×C32—44no—
316C22×C32—41no—
317C22×C32—41no—
318C22×C32—42no—
319C22×C32—42no—
320C22×C32—41no—
321C22×C32—41no—
322C22×C32—41no—
323C22×C32—41no—
324C22×C32—61no—
325C22×C32—61no—
326C22×C32—81no—
327C22×C32—81no—
328C22×C32—81no—
329C22×C32—81no—
330C22×C32—82no—
331C22×C32—82no—
332C22×C32D3×D411yescharacteristic
333C22×C32C2×#6711yescharacteristic
334C22×C32C2×C3×D411yescharacteristic
335C2×C3×D3—21no—
336C2×C3×D3—21no—
337C2×C3×D3—21no—
338C2×C3×D3—21no—
339C2×C3×D3—22no—
340C2×C3×D3—41no—
341C2×C3×D3—41no—
342C2×C3×D3#21712yes—
343C2×C3×D3C3×C22⋊C412yes—
344C32×C4—21no—
345C32×C4—21no—
346C32×C4—21no—
347C32×C4—21no—
348C32×C4—21no—
349C32×C4—21no—
350C32×C4—32no—
351C32×C4—41no—
352C32×C4—41no—
353C32×C4—62no—
354C32×C4—121no—
355C32×C4C2×C4×D311yescharacteristic
356C32×C4D3×D411yescharacteristic
357C32×C4C22×Dic311yescharacteristic
358C32×C4C2×#6711yescharacteristic
359C32×C4C22×C3×C411yescharacteristic
360C32×C4C2×C3×D411yescharacteristic
361C3⋊Dic3—41no—
362C3×Dic3—24no—
363C3×Dic3—22no—
364C3×Dic3—22no—
365C3×Dic3—22no—
366C3×Dic3—41no—
367C3×Dic3—41no—
368C3×Dic3—81no—
369C3×Dic3—121no—
370C3×Dic3—121no—
371C3×Dic3—241no—
372C3×Dic3#21712yes—
373C3×Dic3C3×C22⋊C412yes—
374C2×#41—31no—
375C22×C8—91no—
376#117—91no—
377#103—91no—
378#103—91no—
379#102—31no—
380#102—91no—
381C33#41611yescharacteristic, complemented, Sylow
382C23×C3—22no—
383C23×C3—21no—
384C23×C3—21no—
385C23×C3—21no—
386C23×C3—31no—
387C23×C3—31no—
388C23×C3—41no—
389C23×C3—41no—
390C23×C3—42no—
391C23×C3—61no—
392C22×D3C3×#6711yescharacteristic
393C3×Q8—32no—
394C3×Q8—32no—
395C3×Q8—62no—
396C3×Q8—62no—
397C3×Q8—61no—
398C3×Q8—61no—
399C3×D4—22no—
400C3×D4—21no—
401C3×D4—21no—
402C3×D4—21no—
403C3×D4—22no—
404C3×D4—22no—
405C3×D4—22no—
406C3×D4—41no—
407C3×D4—41no—
408C3×D4—42no—
409C3×D4—42no—
410C3×D4—64no—
411C3×D4—64no—
412C3×D4—68no—
413C3×D4D3×Dic312yes—
414C3×D4C3×C4×D312yes—
415C3×D4C2×C3×Dic312yes—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—31no—
420C2×C3×C4—31no—
421C2×C3×C4—32no—
422C2×C3×C4—32no—
423C2×C3×C4—32no—
424C2×C3×C4—32no—
425C2×C3×C4—41no—
426C2×C3×C4—62no—
427C2×C3×C4—62no—
428C2×C3×C4—61no—
429C2×C3×C4—64no—
430C2×C3×C4—64no—
431C2×C3×C4—62no—
432C2×C3×C4—68no—
433C2×C3×C4—61no—
434C2×C3×C4—61no—
435C2×C3×C4—61no—
436C2×C3×C4—61no—
437C2×C3×C4—121no—
438C2×C3×C4—181no—
439C2×C3×C4C2×D3211yescharacteristic
440C2×C3×C4C22×C3×D311yescharacteristic
441C2×C3×C4C22×C3×D311yescharacteristic
442#67—24no—
443C2×Dic3—21no—
444C2×Dic3—24no—
445C2×Dic3—21no—
446C2×Dic3—61no—
447C2×Dic3—61no—
448C2×Dic3—121no—
449C2×Dic3C3×#6711yescharacteristic
450C4×D3C2×C3×Dic312yes—
451C4×D3C3×#6712yes—
452Dic6—21no—
453Dic6C2×C3×Dic312yes—
454C3×C8—61no—
455C3×C8—61no—
456C3×C8—121no—
457C3×C8—181no—
458C3⋊C8—21no—
459C3⋊C8—61no—
460C3⋊C8—61no—
461C3⋊C8—121no—
462C2×C32—21no—
463C2×C32—21no—
464C2×C32—21no—
465C2×C32—21no—
466C2×C32—21no—
467C2×C32—21no—
468C2×C32—21no—
469C2×C32—21no—
470C2×C32—21no—
471C2×C32—41no—
472C2×C32—41no—
473C2×C32—41no—
474C2×C32—42no—
475C2×C32—44no—
476C2×C32—42no—
477C2×C32—42no—
478C2×C32—62no—
479C2×C32—82no—
480C2×C32—82no—
481C2×C32—84no—
482C2×C32D3×C22⋊C411yescharacteristic
483C2×C32#91211yescharacteristic
484C2×C32#91611yescharacteristic
485C2×C32#95011yescharacteristic
486C2×C32#95011yescharacteristic
487C2×C32C2×#21711yescharacteristic
488C2×C32C2×C3×C22⋊C411yescharacteristic
489C2×C32C3×#13511yescharacteristic
490C2×C32C3×#13511yescharacteristic
491C3×D3—22no—
492C3×D3—22no—
493C3×D3—42no—
494#41—34no—
495#41—62no—
496C2×Q8—31no—
497C2×D4—61no—
498C2×D4C3×D3211yescharacteristic
499C22×C4—31no—
500C22×C4—61no—
501C2×C8—31no—
502C2×C8—91no—
503C2×C8—182no—
504C4⋊C4—31no—
505C4⋊C4—91no—
506C22⋊C4—181no—
507C42—181no—
508C22×C3—24no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—22no—
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—21no—
515C22×C3—32no—
516C22×C3—32no—
517C22×C3—42no—
518C22×C3—42no—
519C22×C3—44no—
520C22×C3—42no—
521C22×C3—42no—
522C22×C3—41no—
523C22×C3—41no—
524C22×C3—41no—
525C22×C3—41no—
526C22×C3—41no—
527C22×C3—41no—
528C22×C3—41no—
529C22×C3—62no—
530C22×C3—61no—
531C22×C3—61no—
532C22×C3—61no—
533C22×C3—61no—
534C22×C3—81no—
535C22×C3—81no—
536C22×C3—81no—
537C22×C3—81no—
538C22×C3—82no—
539C22×C3—82no—
540C22×C3—121no—
541C22×C3—121no—
542C22×C3D3×#6711yescharacteristic
543C22×C3C3×D3×D411yescharacteristic
544C22×C3C2×C3×#6711yescharacteristic
545C2×D3—21no—
546C2×D3—21no—
547C2×D3C3×#21712yes—
548C3×C4—21no—
549C3×C4—21no—
550C3×C4—21no—
551C3×C4—21no—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—32no—
555C3×C4—32no—
556C3×C4—41no—
557C3×C4—41no—
558C3×C4—62no—
559C3×C4—64no—
560C3×C4—62no—
561C3×C4—62no—
562C3×C4—121no—
563C3×C4—121no—
564C3×C4—241no—
565C3×C4—361no—
566C3×C4C2×D3×Dic311yescharacteristic
567C3×C4D3×#6711yescharacteristic
568C3×C4C2×C3×C4×D311yescharacteristic
569C3×C4C3×D3×D411yescharacteristic
570C3×C4C22×C3×Dic311yescharacteristic
571C3×C4C2×C3×#6711yescharacteristic
572Dic3—22no—
573Dic3—41no—
574Dic3—121no—
575Dic3—121no—
576Dic3—241no—
577Dic3C3×#21712yes—
578C32—21no—
579C32—21no—
580C32—21no—
581C32—41no—
582C32#477211yescharacteristic, complemented
583C32#523311yescharacteristic, complemented
584C32C3×#41611yescharacteristic, complemented
585C23—21no—
586C23—31no—
587Q8—32no—
588Q8—61no—
589D4—21no—
590D4—64no—
591D4C3×D3×Dic312yes—
592C2×C4—31no—
593C2×C4—32no—
594C2×C4—32no—
595C2×C4—64no—
596C2×C4—61no—
597C2×C4—61no—
598C2×C4—181no—
599C2×C4C2×C3×D3211yescharacteristic
600C8—61no—
601C8—181no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—21no—
608C2×C3—21no—
609C2×C3—21no—
610C2×C3—21no—
611C2×C3—44no—
612C2×C3—42no—
613C2×C3—42no—
614C2×C3—42no—
615C2×C3—41no—
616C2×C3—41no—
617C2×C3—41no—
618C2×C3—62no—
619C2×C3—62no—
620C2×C3—82no—
621C2×C3—82no—
622C2×C3—84no—
623C2×C3—122no—
624C2×C3#6393311yescharacteristic
625C2×C3#6393511yescharacteristic
626C2×C3D3×#21711yescharacteristic
627C2×C3C3×D3×C22⋊C411yescharacteristic
628C2×C3C3×#91211yescharacteristic
629C2×C3C3×#91611yescharacteristic
630C2×C3C3×#95011yescharacteristic
631C2×C3C3×#95011yescharacteristic
632C2×C3C2×C3×#21711yescharacteristic
633D3—22no—
634C22—22no—
635C22—32no—
636C22—41no—
637C22—41no—
638C22—61no—
639C22—61no—
640C22C3×D3×#6711yescharacteristic
641C4—32no—
642C4—62no—
643C4—121no—
644C4—361no—
645C4C2×C3×D3×Dic311yescharacteristic
646C4C3×D3×#6711yescharacteristic
647C3—21no—
648C3—21no—
649C3—21no—
650C3—41no—
651C3#1059142011yescharacteristic, direct product factor
652C3C3×#477211yescharacteristic, complemented
653C3C3×#523311yescharacteristic, complemented
654C2—42no—
655C2—62no—
656C2C3×#6393311yescharacteristic
657C2C3×#6393511yescharacteristic
658C2C3×D3×#21711yescharacteristic
subgroupG/H
centerC22×C3D3×#67
commutatorC32×C4C22×C3×C4
FrattiniC2×C4C2×C3×D32
FittingC2×C33×D4C22
socleC22×C33C2×D4
prime radicalC2×C32×#237C2
cosocleC2×C32×C4C23×C3
hypercenterC2×C3×D4D32
hypocenterC32C3×#416
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×C4 ◁ C2×C3×D4

Complements

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

NH ≅ G/Ntype
2. C3×#63841C2semidirect
3. C2×C3×D3×C3⋊C8C2semidirect
4. C3×#63659C2semidirect
5. C32×#832C2semidirect
6. C3×#63566C2semidirect
7. C3×#63565C2semidirect
10. #10591420C3direct (N × H)
15. C32×#237C4semidirect
33. #63841C2×C3semidirect
34. C2×D3×C3⋊C8C2×C3semidirect
36. #63659C2×C3semidirect
43. C3×#832D3semidirect
44. C3×#832C2×C3semidirect
47. #63566C2×C3semidirect
48. #63565C2×C3semidirect
92. C3×#237Dic3semidirect
93. C3×#237C3×C4semidirect
159. #832C3×D3semidirect
276. #237C3×Dic3semidirect
381. C33#416semidirect
582. C32#4772semidirect
583. C32#5233semidirect
584. C32C3×#416semidirect
651. C3#10591420direct (N × H)
652. C3C3×#4772semidirect
653. C3C3×#5233semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#2372
C3×#638412
C2×C3×D3×C3⋊C82
C3×#636592
C32×#8322
C3×#635662
C3×#635652
C3×#52333
C3×#47723
#105914203