Finite Group Databasebeta

← C3×#26769 #10645376

Subgroups — C3×#26769 #10645376

Order 768.

826 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2506C211yesmaximal, characteristic, complemented
2C3×#2366C211yesmaximal, characteristic
3C3×#2071C211yesmaximal, characteristic, complemented
4C3×#2065C211yesmaximal, characteristic, complemented
5C3×#2041C211yesmaximal, characteristic
6C3×#2041C211yesmaximal, characteristic
7C3×#1936C211yesmaximal, characteristic, complemented
8C3×#1926C211yesmaximal, characteristic, complemented
9C3×#1919C211yesmaximal, characteristic, complemented
10C3×#1919C211yesmaximal, characteristic, complemented
11C3×#1917C211yesmaximal, characteristic, complemented
12C3×#1864C211yesmaximal, characteristic, complemented
13C3×#1864C211yesmaximal, characteristic, complemented
14C3×#1802C211yesmaximal, characteristic, complemented
15C3×#1762C211yesmaximal, characteristic, complemented
16#26769C311yesmaximal, characteristic, direct product factor, Sylow
17C2×C3×#127C2211yescharacteristic
18C2×C3×#125—21no—
19C2×C3×C4×D4—21no—
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×#106C2211yescharacteristic
23C2×C3×#106C2211yescharacteristic
24C2×C3×C4⋊C8C2211yescharacteristic
25C2×C3×#102C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#97C2211yescharacteristic
34C3×#400—21no—
35C3×#398—21no—
36C3×#390—21no—
37C3×#390C2211yescharacteristic
38C3×#390C2211yescharacteristic
39C3×#389C2211yescharacteristic
40C3×#389C2211yescharacteristic
41C3×#389C2211yescharacteristic
42C3×#389C2211yescharacteristic
43C3×#387—21no—
44C3×#386—21no—
45C3×#386—21no—
46C3×#384C2211yescharacteristic
47C3×C4×C4⋊C4C2211yescharacteristic
48C3×C4×C4⋊C4C2211yescharacteristic
49C3×C4×C4⋊C4C2211yescharacteristic
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#336C2211yescharacteristic
57C3×#336C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2506C2×C311yescharacteristic, complemented
61#2366C2×C311yescharacteristic
62#2071C2×C311yescharacteristic, complemented
63#2065C2×C311yescharacteristic, complemented
64#2041C2×C311yescharacteristic
65#2041C2×C311yescharacteristic
66#1936C2×C311yescharacteristic, complemented
67#1926C2×C311yescharacteristic, complemented
68#1919C2×C311yescharacteristic, complemented
69#1919C2×C311yescharacteristic, complemented
70#1917C2×C311yescharacteristic, complemented
71#1864C2×C311yescharacteristic, complemented
72#1864C2×C311yescharacteristic, complemented
73#1802C2×C311yescharacteristic, complemented
74#1762C2×C311yescharacteristic, complemented
75C22×C3×D4—21no—
76C22×C3×D4—21no—
77C22×C3×D4C2311yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4—21no—
81C22×C3×C8C2311yescharacteristic
82C22×C3×C8C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C3×#127—22no—
86C3×#127—22no—
87C3×#125—44no—
88C3×C4×D4—22no—
89C3×C4×D4—22no—
90C3×C4×D4—41no—
91C3×C4×D4—41no—
92C3×C4×D4—44no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4D411yescharacteristic
100C2×C3×C4⋊C4D411yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4—21no—
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C42—21no—
114C2×C3×C42—21no—
115C2×C3×C42C2311yescharacteristic
116C2×C3×C42C2311yescharacteristic
117C2×C3×C42C2311yescharacteristic
118C3×#106—22no—
119C3×#106—22no—
120C3×C4⋊C8—41no—
121C3×#102—22no—
122C3×#102—22no—
123C3×#102—22no—
124C3×#102—22no—
125C3×#102—22no—
126C3×#102—22no—
127C3×#102—41no—
128C3×#102—41no—
129C3×#97—41no—
130C3×#95—21no—
131C3×#95—21no—
132C3×#95—21no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95D411yescharacteristic
137C3×#95D411yescharacteristic
138C2×#127C22×C311yescharacteristic
139C2×#125—21no—
140C2×C4×D4—21no—
141C2×C4×D4C22×C311yescharacteristic
142C2×C4×D4C22×C311yescharacteristic
143C2×#106C22×C311yescharacteristic
144C2×#106C22×C311yescharacteristic
145C2×C4⋊C8C22×C311yescharacteristic
146C2×#102C22×C311yescharacteristic
147C2×#102C22×C311yescharacteristic
148C2×#102C22×C311yescharacteristic
149C2×#102C22×C311yescharacteristic
150C2×#102C22×C311yescharacteristic
151C2×#102C22×C311yescharacteristic
152C2×#102C22×C311yescharacteristic
153C2×#102C22×C311yescharacteristic
154C2×#97C22×C311yescharacteristic
155#400—21no—
156#398—21no—
157#390—21no—
158#390C22×C311yescharacteristic
159#390C22×C311yescharacteristic
160#389C22×C311yescharacteristic
161#389C22×C311yescharacteristic
162#389C22×C311yescharacteristic
163#389C22×C311yescharacteristic
164#387—21no—
165#386—21no—
166#386—21no—
167#384C22×C311yescharacteristic
168C4×C4⋊C4C22×C311yescharacteristic
169C4×C4⋊C4C22×C311yescharacteristic
170C4×C4⋊C4C22×C311yescharacteristic
171#340C22×C311yescharacteristic
172#340C22×C311yescharacteristic
173#340C22×C311yescharacteristic
174#340C22×C311yescharacteristic
175#340C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#336C22×C311yescharacteristic
178#336C22×C311yescharacteristic
179#336C22×C311yescharacteristic
180#336C22×C311yescharacteristic
181C24×C3—21no—
182C24×C3—21no—
183C2×C3×D4—24no—
184C2×C3×D4—24no—
185C2×C3×D4—21no—
186C2×C3×D4—21no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—21no—
193C2×C3×D4—21no—
194C2×C3×D4—21no—
195C2×C3×D4—42no—
196C2×C3×D4—42no—
197C2×C3×D4—81no—
198C2×C3×D4—81no—
199C2×C3×D4#4112yes—
200C2×C3×D4#4112yes—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—42no—
208C22×C3×C4—42no—
209C22×C3×C4—42no—
210C22×C3×C4—42no—
211C22×C3×C4—81no—
212C22×C3×C4—81no—
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2411yescharacteristic
220C2×C3×C8—21no—
221C2×C3×C8—21no—
222C2×C3×C8—21no—
223C2×C3×C8—21no—
224C2×C3×C8—21no—
225C2×C3×C8—21no—
226C2×C3×C8—21no—
227C2×C3×C8—21no—
228C2×C3×C8—21no—
229C2×C3×C8—21no—
230C2×C3×C8—21no—
231C2×C3×C8—21no—
232C3×C4⋊C4—22no—
233C3×C4⋊C4—22no—
234C3×C4⋊C4—21no—
235C3×C4⋊C4—21no—
236C3×C4⋊C4—21no—
237C3×C4⋊C4—21no—
238C3×C4⋊C4—21no—
239C3×C4⋊C4—21no—
240C3×C4⋊C4—21no—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—21no—
244C3×C4⋊C4—42no—
245C3×C4⋊C4—42no—
246C3×C4⋊C4—42no—
247C3×C4⋊C4—42no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—42no—
250C3×C4⋊C4#4112yes—
251C3×C4⋊C4#4112yes—
252C3×C22⋊C4—42no—
253C3×C22⋊C4—42no—
254C3×C22⋊C4—42no—
255C3×C22⋊C4—42no—
256C3×C22⋊C4—81no—
257C3×C22⋊C4—81no—
258C3×C42—21no—
259C3×C42—21no—
260C3×C42—21no—
261C3×C42—21no—
262C3×C42—21no—
263C3×C42—21no—
264C3×C42—42no—
265C3×C42—42no—
266C22×D4—21no—
267C22×D4—21no—
268C22×D4C23×C311yescharacteristic
269C22×D4C23×C311yescharacteristic
270C23×C4—21no—
271C23×C4—21no—
272C22×C8C23×C311yescharacteristic
273C22×C8C23×C311yescharacteristic
274C22×C8C23×C311yescharacteristic
275C22×C8C23×C311yescharacteristic
276#127—22no—
277#127—22no—
278#125—44no—
279C4×D4—22no—
280C4×D4—22no—
281C4×D4—41no—
282C4×D4—41no—
283C4×D4—44no—
284C2×C4⋊C4—21no—
285C2×C4⋊C4—21no—
286C2×C4⋊C4—21no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4C3×D411yescharacteristic
291C2×C4⋊C4C3×D411yescharacteristic
292C2×C4⋊C4C23×C311yescharacteristic
293C2×C4⋊C4C23×C311yescharacteristic
294C2×C4⋊C4C23×C311yescharacteristic
295C2×C4⋊C4C23×C311yescharacteristic
296C2×C4⋊C4C23×C311yescharacteristic
297C2×C4⋊C4C23×C311yescharacteristic
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C42—21no—
305C2×C42—21no—
306C2×C42C23×C311yescharacteristic
307C2×C42C23×C311yescharacteristic
308C2×C42C23×C311yescharacteristic
309#106—22no—
310#106—22no—
311C4⋊C8—41no—
312#102—22no—
313#102—22no—
314#102—22no—
315#102—22no—
316#102—22no—
317#102—22no—
318#102—41no—
319#102—41no—
320#97—41no—
321#95—21no—
322#95—21no—
323#95—21no—
324#95—21no—
325#95—21no—
326#95—21no—
327#95C3×D411yescharacteristic
328#95C3×D411yescharacteristic
329C23×C3—22no—
330C23×C3—22no—
331C23×C3—41no—
332C23×C3—41no—
333C23×C3—41no—
334C23×C3—41no—
335C23×C3—41no—
336C23×C3—41no—
337C23×C3—41no—
338C23×C3—41no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3C22×D411yescharacteristic
344C3×D4—22no—
345C3×D4—22no—
346C3×D4—22no—
347C3×D4—22no—
348C3×D4—48no—
349C3×D4—41no—
350C3×D4—41no—
351C3×D4—41no—
352C3×D4—41no—
353C3×D4—84no—
354C2×C3×C4—21no—
355C2×C3×C4—21no—
356C2×C3×C4—21no—
357C2×C3×C4—21no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—22no—
363C2×C3×C4—22no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—41no—
373C2×C3×C4—41no—
374C2×C3×C4—41no—
375C2×C3×C4—41no—
376C2×C3×C4—41no—
377C2×C3×C4—41no—
378C2×C3×C4—41no—
379C2×C3×C4—41no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—84no—
389C2×C3×C4—84no—
390C2×C3×C4AGL(1,ℤ/8)12yes—
391C2×C3×C4AGL(1,ℤ/8)12yes—
392C2×C3×C4C2×#4111yescharacteristic
393C2×C3×C4C2×#4111yescharacteristic
394C2×C3×C4C2×#4111yescharacteristic
395C2×C3×C4C2×#4111yescharacteristic
396C2×C3×C4H(5,𝔽2)11yescharacteristic
397C2×C3×C42−1+411yescharacteristic
398C3×C8—41no—
399C3×C8—41no—
400C3×C8—41no—
401C3×C8—41no—
402C24—21no—
403C24—21no—
404C2×D4—24no—
405C2×D4—24no—
406C2×D4—21no—
407C2×D4—21no—
408C2×D4—21no—
409C2×D4—21no—
410C2×D4—21no—
411C2×D4—21no—
412C2×D4—21no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—42no—
417C2×D4—42no—
418C2×D4—81no—
419C2×D4—81no—
420C2×D4C3×#4112yes—
421C2×D4C3×#4112yes—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—42no—
429C22×C4—42no—
430C22×C4—42no—
431C22×C4—42no—
432C22×C4—81no—
433C22×C4—81no—
434C22×C4C2×C3×D411yescharacteristic
435C22×C4C2×C3×D411yescharacteristic
436C22×C4C2×C3×D411yescharacteristic
437C22×C4C2×C3×D411yescharacteristic
438C22×C4C2×C3×D411yescharacteristic
439C22×C4C2×C3×D411yescharacteristic
440C22×C4C24×C311yescharacteristic
441C2×C8—21no—
442C2×C8—21no—
443C2×C8—21no—
444C2×C8—21no—
445C2×C8—21no—
446C2×C8—21no—
447C2×C8—21no—
448C2×C8—21no—
449C2×C8—21no—
450C2×C8—21no—
451C2×C8—21no—
452C2×C8—21no—
453C4⋊C4—22no—
454C4⋊C4—22no—
455C4⋊C4—21no—
456C4⋊C4—21no—
457C4⋊C4—21no—
458C4⋊C4—21no—
459C4⋊C4—21no—
460C4⋊C4—21no—
461C4⋊C4—21no—
462C4⋊C4—21no—
463C4⋊C4—21no—
464C4⋊C4—21no—
465C4⋊C4—42no—
466C4⋊C4—42no—
467C4⋊C4—42no—
468C4⋊C4—42no—
469C4⋊C4—42no—
470C4⋊C4—42no—
471C4⋊C4C3×#4112yes—
472C4⋊C4C3×#4112yes—
473C22⋊C4—42no—
474C22⋊C4—42no—
475C22⋊C4—42no—
476C22⋊C4—42no—
477C22⋊C4—81no—
478C22⋊C4—81no—
479C42—21no—
480C42—21no—
481C42—21no—
482C42—21no—
483C42—21no—
484C42—21no—
485C42—42no—
486C42—42no—
487C22×C3—42no—
488C22×C3—42no—
489C22×C3—42no—
490C22×C3—42no—
491C22×C3—42no—
492C22×C3—42no—
493C22×C3—81no—
494C22×C3—81no—
495C22×C3—81no—
496C22×C3—81no—
497C22×C3—81no—
498C22×C3—81no—
499C22×C3—81no—
500C22×C3—81no—
501C22×C3#52511yescharacteristic
502C22×C3#54611yescharacteristic
503C22×C3#54811yescharacteristic
504C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
505C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
506C22×C3#57711yescharacteristic
507C22×C3#57711yescharacteristic
508C3×C4—22no—
509C3×C4—22no—
510C3×C4—41no—
511C3×C4—41no—
512C3×C4—42no—
513C3×C4—41no—
514C3×C4—41no—
515C3×C4—42no—
516C3×C4—81no—
517C3×C4—81no—
518C3×C4—81no—
519C3×C4—81no—
520C3×C4#52911yescharacteristic
521C3×C4#53911yescharacteristic
522C3×C4#55211yescharacteristic
523C3×C4#55311yescharacteristic
524C23—22no—
525C23—22no—
526C23—41no—
527C23—41no—
528C23—41no—
529C23—41no—
530C23—41no—
531C23—41no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23C22×C3×D411yescharacteristic
539D4—22no—
540D4—22no—
541D4—22no—
542D4—22no—
543D4—48no—
544D4—41no—
545D4—41no—
546D4—41no—
547D4—41no—
548D4—84no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—84no—
584C2×C4—84no—
585C2×C4C3×AGL(1,ℤ/8)12yes—
586C2×C4C3×AGL(1,ℤ/8)12yes—
587C2×C4C2×C3×#4111yescharacteristic
588C2×C4C2×C3×#4111yescharacteristic
589C2×C4C2×C3×#4111yescharacteristic
590C2×C4C2×C3×#4111yescharacteristic
591C2×C4C3×H(5,𝔽2)11yescharacteristic
592C2×C4C3×2−1+411yescharacteristic
593C8—41no—
594C8—41no—
595C8—41no—
596C8—41no—
597C2×C3—82no—
598C2×C3—82no—
599C2×C3#246011yescharacteristic
600C2×C3#310911yescharacteristic
601C2×C3#312311yescharacteristic
602C2×C3#331011yescharacteristic
603C2×C3#333211yescharacteristic
604C2×C3#336811yescharacteristic
605C2×C3#337311yescharacteristic
606C22—42no—
607C22—42no—
608C22—42no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22C3×#52511yescharacteristic
621C22C3×#54611yescharacteristic
622C22C3×#54811yescharacteristic
623C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
624C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
625C22C3×#57711yescharacteristic
626C22C3×#57711yescharacteristic
627C4—22no—
628C4—22no—
629C4—41no—
630C4—42no—
631C4—41no—
632C4—41no—
633C4—42no—
634C4—41no—
635C4—81no—
636C4—81no—
637C4—81no—
638C4—81no—
639C4C3×#52911yescharacteristic
640C4C3×#53911yescharacteristic
641C4C3×#55211yescharacteristic
642C4C3×#55311yescharacteristic
643C3#2676911yescharacteristic, direct product factor, Sylow
644C2—82no—
645C2—82no—
646C2C3×#246011yescharacteristic
647C2C3×#310911yescharacteristic
648C2C3×#312311yescharacteristic
649C2C3×#331011yescharacteristic
650C2C3×#333211yescharacteristic
651C2C3×#336811yescharacteristic
652C2C3×#337311yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#127C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#2506C2semidirect
3. C3×#2071C2semidirect
4. C3×#2065C2semidirect
7. C3×#1936C2semidirect
8. C3×#1926C2semidirect
9. C3×#1919C2semidirect
10. C3×#1919C2semidirect
11. C3×#1917C2semidirect
12. C3×#1864C2semidirect
13. C3×#1864C2semidirect
14. C3×#1802C2semidirect
15. C3×#1762C2semidirect
16. #26769C3direct (N × H)
60. #2506C2×C3semidirect
62. #2071C2×C3semidirect
63. #2065C2×C3semidirect
66. #1936C2×C3semidirect
67. #1926C2×C3semidirect
68. #1919C2×C3semidirect
69. #1919C2×C3semidirect
70. #1917C2×C3semidirect
71. #1864C2×C3semidirect
72. #1864C2×C3semidirect
73. #1802C2×C3semidirect
74. #1762C2×C3semidirect
643. C3#26769direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#25062
C3×#23662
C3×#20712
C3×#20652
C3×#20412
C3×#19362
C3×#19262
C3×#19192
C3×#19172
C3×#18642
C3×#18022
C3×#17622
#267693