Finite Group Databasebeta

← C2×#31217 #7503781

Subgroups — C2×#31217 #7503781

Order 512.

2448 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#464C211yesmaximal, characteristic, complemented
2C22×#463C211yesmaximal, characteristic
3C2×#2448C211yesmaximal, characteristic, complemented
4C2×#2447C211yesmaximal, characteristic, complemented
5#31217C2116yesmaximal, direct product factor
6C2×#2066C211yesmaximal, characteristic, complemented
7C2×#2065C211yesmaximal, characteristic, complemented
8C2×#2056C211yesmaximal, characteristic, complemented
9C2×#2054C211yesmaximal, characteristic
10C2×#2015C211yesmaximal, characteristic, complemented
11C2×#2012C211yesmaximal, characteristic
12C2×#1968C211yesmaximal, characteristic, complemented
13C2×#1968C211yesmaximal, characteristic, complemented
14C2×#1939C211yesmaximal, characteristic, complemented
15C2×#1865C211yesmaximal, characteristic, complemented
16C2×#1864C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C23×SD16C2211yescharacteristic
20C23×D8C2211yescharacteristic
21C22×#124C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C22×C4×D4C2211yescharacteristic
25C2×#464—28no—
26C2×#464C2218yescomplemented
27C2×#463—28no—
28C2×#463C2218yes—
29C22×#106C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×C4⋊C8C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×C4⋊C8C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×C4×C8C2211yescharacteristic
43#2448—24no—
44#2448C2218yescomplemented
45#2447—24no—
46#2447C2218yescomplemented
47C2×#399—21no—
48C2×#397—21no—
49C2×#397—21no—
50C2×#397—21no—
51C2×#391C2211yescharacteristic
52C2×#391C2211yescharacteristic
53C2×#391C2211yescharacteristic
54C2×#390C2211yescharacteristic
55C2×#390C2211yescharacteristic
56C2×#390C2211yescharacteristic
57C2×#389C2211yescharacteristic
58C2×#389C2211yescharacteristic
59C2×#388—21no—
60C2×#388—21no—
61C2×#385—21no—
62C2×#381—21no—
63C2×C4×C4⋊C4C2211yescharacteristic
64#2066C2218yescomplemented
65#2065C2218yescomplemented
66#2056C2218yescomplemented
67#2054C2218yes—
68#2015C2218yescomplemented
69#2012C2218yes—
70#1968C2218yescomplemented
71#1968C2218yescomplemented
72#1939C2218yescomplemented
73#1865C2218yescomplemented
74#1864C2218yescomplemented
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C22×Q16—24no—
85C22×Q16—42no—
86C22×Q16—42no—
87C22×Q16C2314yes—
88C22×SD16—24no—
89C22×SD16—42no—
90C22×SD16—42no—
91C22×SD16—42no—
92C22×SD16—42no—
93C22×SD16D418yes—
94C22×SD16C2314yes—
95C22×SD16C2314yes—
96C22×D8—24no—
97C22×D8—42no—
98C22×D8—42no—
99C22×D8C2314yes—
100C23×C8C2311yescharacteristic
101C23×C8C2311yescharacteristic
102C23×C8C2311yescharacteristic
103C23×C8C2311yescharacteristic
104C2×#124—24no—
105C2×#124—24no—
106C2×#124—22no—
107C2×#124—22no—
108C2×#124—42no—
109C2×#124—42no—
110C2×#124C2314yes—
111C2×#124C2314yes—
112C2×C4×Q8—22no—
113C2×C4×Q8—24no—
114C2×C4×Q8—42no—
115C2×C4×Q8C2314yes—
116C2×C4×D4—24no—
117C2×C4×D4—22no—
118C2×C4×D4—42no—
119C2×C4×D4C2314yes—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4D411yescharacteristic
124C22×C4⋊C4D411yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C42—21no—
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144#464—232no—
145#463—232no—
146C2×#106—42no—
147C2×#106—42no—
148C2×#106C2314yes—
149C2×#106C2314yes—
150C2×C4⋊C8—24no—
151C2×C4⋊C8—24no—
152C2×C4⋊C8—42no—
153C2×C4⋊C8C2314yes—
154C2×C4⋊C8C2314yes—
155C2×C4⋊C8C2314yes—
156C2×#103—24no—
157C2×#103—24no—
158C2×#103—24no—
159C2×#103—42no—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#102—24no—
165C2×#102—24no—
166C2×#102—24no—
167C2×#102—42no—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×C4×C8—42no—
173C2×C4×C8C2314yes—
174#399—28no—
175#397—28no—
176#397—28no—
177#397—28no—
178#391—22no—
179#391—22no—
180#391—22no—
181#391C2314yes—
182#391C2314yes—
183#391C2314yes—
184#390—22no—
185#390—22no—
186#390—22no—
187#390C2314yes—
188#390C2314yes—
189#390C2314yes—
190#389—22no—
191#389—22no—
192#389C2314yes—
193#389C2314yes—
194#388—28no—
195#388—28no—
196#385—28no—
197#381—28no—
198C4×C4⋊C4D414yes—
199C4×C4⋊C4C2314yes—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95—21no—
207C2×#95—21no—
208C2×#95D411yescharacteristic
209C2×#95D411yescharacteristic
210#340C2314yes—
211#340C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25—21no—
215C25—21no—
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—22no—
223C22×Q8—22no—
224C22×Q8—22no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8C2×D414yes—
230C22×Q8C2412yes—
231C22×Q8C2412yes—
232C22×D4—21no—
233C22×D4—22no—
234C22×D4—21no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—22no—
242C22×D4—22no—
243C22×D4—22no—
244C22×D4—22no—
245C22×D4C2×D414yes—
246C22×D4C2412yes—
247C22×D4C2412yes—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—24no—
255C23×C4—44no—
256C23×C4—44no—
257C23×C4—82no—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2411yescharacteristic
265C2×Q16—28no—
266C2×Q16—44no—
267C2×Q16—44no—
268C2×Q16—416no—
269C2×SD16—28no—
270C2×SD16—416no—
271C2×SD16—44no—
272C2×SD16—44no—
273C2×SD16—44no—
274C2×SD16—44no—
275C2×SD16—416no—
276C2×SD16C2×D4116yes—
277C2×D8—28no—
278C2×D8—44no—
279C2×D8—44no—
280C2×D8—416no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8C2×D414yes—
292C22×C8#4114yes—
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297#124—28no—
298#124—28no—
299#124—44no—
300#124—44no—
301#124—48no—
302#124—48no—
303C4×Q8—28no—
304C4×Q8—44no—
305C4×Q8—48no—
306C4×D4—28no—
307C4×D4—44no—
308C4×D4—48no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—42no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—82no—
328C2×C4⋊C4—82no—
329C2×C4⋊C4C2×D414yes—
330C2×C4⋊C4C2×D414yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—82no—
355C2×C22⋊C4—82no—
356C2×C22⋊C4—82no—
357C2×C42—22no—
358C2×C42—22no—
359C2×C42—22no—
360C2×C42—22no—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—24no—
364C2×C42—44no—
365C2×C42C2×D412yes—
366C2×C42C2×D412yes—
367C2×C42C2×D412yes—
368C2×C42C2412yes—
369C2×C42C2412yes—
370C2×C42C2412yes—
371#106—44no—
372#106—44no—
373C4⋊C8—28no—
374C4⋊C8—28no—
375C4⋊C8—44no—
376#103—28no—
377#103—28no—
378#103—28no—
379#103—44no—
380#102—28no—
381#102—28no—
382#102—28no—
383#102—44no—
384C4×C8—44no—
385#95—24no—
386#95—24no—
387#95—24no—
388#95—24no—
389#95—24no—
390#95—24no—
391#95—24no—
392#95—24no—
393#95C2×D414yes—
394#95C2×D414yes—
395C24—24no—
396C24—22no—
397C24—22no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24C22×D411yescharacteristic
412C2×Q8—24no—
413C2×Q8—22no—
414C2×Q8—28no—
415C2×Q8—28no—
416C2×Q8—22no—
417C2×Q8—22no—
418C2×Q8—22no—
419C2×Q8—22no—
420C2×Q8—22no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—42no—
427C2×Q8—42no—
428C2×Q8—44no—
429C2×Q8—42no—
430C2×Q8—42no—
431C2×Q8—42no—
432C2×Q8—44no—
433C2×Q8—44no—
434C2×Q8—44no—
435C2×Q8—44no—
436C2×Q8—44no—
437C2×Q8C22×D414yes—
438C2×D4—28no—
439C2×D4—24no—
440C2×D4—28no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—44no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—42no—
458C2×D4—44no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4C22×D414yes—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—84no—
508C22×C4—816no—
509C22×C4#13514yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D411yescharacteristic
518C22×C4C2×#4112yes—
519C22×C4H(5,𝔽2)12yes—
520C22×C4H(5,𝔽2)12yes—
521C22×C4H(5,𝔽2)12yes—
522C22×C42−1+412yes—
523C22×C4C2511yescharacteristic
524Q16—416no—
525SD16—416no—
526SD16—416no—
527D8—416no—
528C2×C8—28no—
529C2×C8—28no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—44no—
541C2×C8—44no—
542C2×C8C22×D414yes—
543C2×C8C2×#4114yes—
544C4⋊C4—28no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—44no—
554C4⋊C4—48no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—84no—
560C4⋊C4—84no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—84no—
570C22⋊C4—84no—
571C22⋊C4—84no—
572C42—24no—
573C42—24no—
574C42—24no—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—48no—
582C23—24no—
583C23—42no—
584C23—48no—
585C23—42no—
586C23—48no—
587C23—48no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—84no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23#53712yes—
611C23D4212yes—
612C23#55012yes—
613C23C2×#13512yes—
614C23#57512yes—
615C23#57712yes—
616C23#57712yes—
617C23C23×D411yescharacteristic
618Q8—24no—
619Q8—24no—
620Q8—48no—
621Q8—42no—
622Q8—42no—
623Q8—42no—
624Q8—42no—
625Q8—42no—
626Q8—42no—
627Q8—84no—
628D4—24no—
629D4—24no—
630D4—42no—
631D4—48no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—42no—
636D4—42no—
637D4—84no—
638C2×C4—22no—
639C2×C4—28no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—42no—
658C2×C4—48no—
659C2×C4—42no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—816no—
681C2×C4—84no—
682C2×C4—84no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4#53414yes—
687C2×C4#53712yes—
688C2×C4#53814yes—
689C2×C4D4212yes—
690C2×C4#54714yes—
691C2×C4#55012yes—
692C2×C4#56214yes—
693C2×C4C2×#13514yes—
694C2×C4C23×D411yescharacteristic
695C2×C4C22×#4111yescharacteristic
696C2×C4C2×H(5,𝔽2)11yescharacteristic
697C2×C4C2×H(5,𝔽2)11yescharacteristic
698C2×C4C2×H(5,𝔽2)11yescharacteristic
699C2×C4C2×2−1+411yescharacteristic
700C8—24no—
701C8—24no—
702C8—42no—
703C8—42no—
704C22—44no—
705C22—44no—
706C22—44no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—816no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22—168no—
720C22#268214yes—
721C22#325014yes—
722C22#326314yes—
723C22#327514yes—
724C22#328414yes—
725C22#339414yes—
726C22#340114yes—
727C22C2×#53711yescharacteristic
728C22C2×D4211yescharacteristic
729C22C2×#55011yescharacteristic
730C22C22×#13511yescharacteristic
731C22C2×#57511yescharacteristic
732C22C2×#57711yescharacteristic
733C22C2×#57711yescharacteristic
734C4—24no—
735C4—42no—
736C4—42no—
737C4—42no—
738C4—42no—
739C4—44no—
740C4—42no—
741C4—82no—
742C4—82no—
743C4—82no—
744C4—82no—
745C4—82no—
746C4#268214yes—
747C4C2×#53411yescharacteristic
748C4C2×#53811yescharacteristic
749C4C2×#54711yescharacteristic
750C4C2×#56211yescharacteristic
751C2—84no—
752C2—162no—
753C2#3121718yesdirect product factor
754C2C2×#268211yescharacteristic
755C2C2×#325011yescharacteristic
756C2C2×#326311yescharacteristic
757C2C2×#327511yescharacteristic
758C2C2×#328411yescharacteristic
759C2C2×#339411yescharacteristic
760C2C2×#340111yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#464C2semidirect
3. C2×#2448C2semidirect
4. C2×#2447C2semidirect
5. #31217C2direct (N × H)
6. C2×#2066C2semidirect
7. C2×#2065C2semidirect
8. C2×#2056C2semidirect
10. C2×#2015C2semidirect
12. C2×#1968C2semidirect
13. C2×#1968C2semidirect
14. C2×#1939C2semidirect
15. C2×#1865C2semidirect
16. C2×#1864C2semidirect
26. C2×#464C22semidirect
44. #2448C22semidirect
46. #2447C22semidirect
64. #2066C22semidirect
65. #2065C22semidirect
66. #2056C22semidirect
68. #2015C22semidirect
70. #1968C22semidirect
71. #1968C22semidirect
72. #1939C22semidirect
73. #1865C22semidirect
74. #1864C22semidirect
753. C2#31217direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4642
C22×#4632
C2×#24482
C2×#24472
#312172
C2×#20662
C2×#20652
C2×#20562
C2×#20542
C2×#20152
C2×#20122
C2×#19682
C2×#19392
C2×#18652
C2×#18642