Finite Group Databasebeta

← C2×#32094 #7507649

Subgroups — C2×#32094 #7507649

Order 512.

2512 conjugacy classes of subgroups.

The subgroup lattice has 775 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2541C211yesmaximal, characteristic
2C2×#2509C211yesmaximal, characteristic, complemented
3#32094C2116yesmaximal, direct product factor
4C2×#2092C211yesmaximal, characteristic, complemented
5C2×#2067C211yesmaximal, characteristic, complemented
6C2×#2041C211yesmaximal, characteristic, complemented
7C2×#2041C211yesmaximal, characteristic, complemented
8C2×#2041C211yesmaximal, characteristic, complemented
9C2×#2041C211yesmaximal, characteristic, complemented
10C2×#1982C211yesmaximal, characteristic, complemented
11C2×#1961C211yesmaximal, characteristic, complemented
12C2×#1936C211yesmaximal, characteristic, complemented
13C2×#1926C211yesmaximal, characteristic, complemented
14C2×#1917C211yesmaximal, characteristic, complemented
15C2×#1864C211yesmaximal, characteristic, complemented
16C2×#1862C211yesmaximal, characteristic, complemented
17C22×#127C2211yescharacteristic
18C22×#127C2211yescharacteristic
19C22×#127C2211yescharacteristic
20C22×#121—21no—
21C22×#121—21no—
22C22×C4×D4C2211yescharacteristic
23C22×#107C2211yescharacteristic
24C22×#106C2211yescharacteristic
25C22×C4⋊C8C2211yescharacteristic
26C22×#102C2211yescharacteristic
27C22×#102C2211yescharacteristic
28C22×#102C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#97C2211yescharacteristic
39#2541—24no—
40#2541C2218yes—
41#2509—24no—
42#2509C2218yescomplemented
43C2×#400—21no—
44C2×#400—21no—
45C2×#392—21no—
46C2×#392—21no—
47C2×#390C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#389—21no—
50C2×#389C2211yescharacteristic
51C2×#389C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#387—21no—
55C2×#382C2211yescharacteristic
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C4⋊C4C2211yescharacteristic
58#2092C2218yescomplemented
59#2067C2218yescomplemented
60#2041C2218yescomplemented
61#2041C2218yescomplemented
62#2041C2218yescomplemented
63#2041C2218yescomplemented
64#1982C2218yescomplemented
65#1961C2218yescomplemented
66#1936C2218yescomplemented
67#1926C2218yescomplemented
68#1917C2218yescomplemented
69#1864C2218yescomplemented
70#1862C2218yescomplemented
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#336C2211yescharacteristic
74C2×#336C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×D4—21no—
78C23×D4—21no—
79C23×D4—21no—
80C23×D4—21no—
81C23×D4—21no—
82C23×D4—21no—
83C23×D4C2311yescharacteristic
84C23×D4C2311yescharacteristic
85C23×D4C2311yescharacteristic
86C24×C4—21no—
87C23×C8C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C2×#127—24no—
92C2×#127—24no—
93C2×#127—22no—
94C2×#127—22no—
95C2×#127—22no—
96C2×#127—42no—
97C2×#127—42no—
98C2×#127—42no—
99C2×#127—42no—
100C2×#127C2314yes—
101C2×#127C2314yes—
102C2×#127C2314yes—
103C2×#121—28no—
104C2×#121—28no—
105C2×#121—48no—
106C2×#121—48no—
107C2×C4×D4—22no—
108C2×C4×D4—42no—
109C2×C4×D4—42no—
110C2×C4×D4C2314yes—
111C22×C4⋊C4—21no—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4D411yescharacteristic
116C22×C4⋊C4D411yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C22⋊C4—21no—
123C22×C22⋊C4—21no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C42—21no—
128C22×C42C2311yescharacteristic
129C22×C42C2311yescharacteristic
130C22×C42C2311yescharacteristic
131C2×#107—42no—
132C2×#107C2314yes—
133C2×#106—42no—
134C2×#106C2314yes—
135C2×C4⋊C8—42no—
136C2×C4⋊C8C2314yes—
137C2×#102—24no—
138C2×#102—24no—
139C2×#102—24no—
140C2×#102—24no—
141C2×#102—42no—
142C2×#102—42no—
143C2×#102—42no—
144C2×#102—42no—
145C2×#102—42no—
146C2×#102—42no—
147C2×#102—42no—
148C2×#102—42no—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#97—42no—
162C2×#97C2314yes—
163#400—28no—
164#400—28no—
165#392—28no—
166#392—28no—
167#390—22no—
168#390—22no—
169#390C2314yes—
170#390C2314yes—
171#389—28no—
172#389—22no—
173#389—22no—
174#389—22no—
175#389—22no—
176#389C2314yes—
177#389C2314yes—
178#389C2314yes—
179#389C2314yes—
180#387—28no—
181#382—22no—
182#382C2314yes—
183C4×C4⋊C4—22no—
184C4×C4⋊C4D414yes—
185C4×C4⋊C4C2314yes—
186C4×C4⋊C4C2314yes—
187C2×#95—21no—
188C2×#95—21no—
189C2×#95—21no—
190C2×#95—21no—
191C2×#95—21no—
192C2×#95—21no—
193C2×#95—21no—
194C2×#95D411yescharacteristic
195C2×#95D411yescharacteristic
196#340C2314yes—
197#340C2314yes—
198#336C2314yes—
199#336C2314yes—
200#336C2314yes—
201#336C2314yes—
202C25—21no—
203C25—21no—
204C25—21no—
205C22×D4—21no—
206C22×D4—24no—
207C22×D4—21no—
208C22×D4—21no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—44no—
232C22×D4—44no—
233C22×D4—44no—
234C22×D4—44no—
235C22×D4—44no—
236C22×D4—44no—
237C22×D4—44no—
238C22×D4—44no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—44no—
242C22×D4—44no—
243C22×D4—82no—
244C22×D4—82no—
245C22×D4—82no—
246C22×D4—82no—
247C22×D4—82no—
248C22×D4—82no—
249C22×D4#4114yes—
250C22×D4C2412yes—
251C22×D4C2412yes—
252C22×D4C2412yes—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—24no—
259C23×C4—44no—
260C23×C4—44no—
261C23×C4—44no—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2411yescharacteristic
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8C2412yes—
282C22×C8C2412yes—
283C22×C8C2412yes—
284C22×C8C2412yes—
285#127—28no—
286#127—28no—
287#127—44no—
288#127—44no—
289#127—44no—
290#127—44no—
291#127—48no—
292#127—48no—
293#127—48no—
294#121—432no—
295#121—432no—
296C4×D4—44no—
297C4×D4—44no—
298C4×D4—48no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—24no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4—82no—
322C2×C4⋊C4—82no—
323C2×C4⋊C4C2×D414yes—
324C2×C4⋊C4C2×D414yes—
325C2×C4⋊C4#4114yes—
326C2×C4⋊C4C2412yes—
327C2×C4⋊C4C2412yes—
328C2×C4⋊C4C2412yes—
329C2×C4⋊C4C2412yes—
330C2×C4⋊C4C2412yes—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C42—22no—
342C2×C42—22no—
343C2×C42—22no—
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—24no—
348C2×C42—82no—
349C2×C42C2×D412yes—
350C2×C42C2×D412yes—
351C2×C42C2×D412yes—
352C2×C42C2412yes—
353C2×C42C2412yes—
354C2×C42C2412yes—
355#107—44no—
356#106—44no—
357C4⋊C8—44no—
358#102—28no—
359#102—28no—
360#102—28no—
361#102—28no—
362#102—44no—
363#102—44no—
364#102—44no—
365#102—44no—
366#102—44no—
367#102—44no—
368#102—44no—
369#102—44no—
370#97—44no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—24no—
375#95—24no—
376#95—24no—
377#95—24no—
378#95C2×D414yes—
379#95C2×D414yes—
380C24—24no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—42no—
385C24—42no—
386C24—42no—
387C24—42no—
388C24—42no—
389C24—42no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24C22×D411yescharacteristic
405C2×D4—28no—
406C2×D4—24no—
407C2×D4—28no—
408C2×D4—22no—
409C2×D4—22no—
410C2×D4—22no—
411C2×D4—22no—
412C2×D4—22no—
413C2×D4—22no—
414C2×D4—22no—
415C2×D4—22no—
416C2×D4—22no—
417C2×D4—22no—
418C2×D4—22no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—48no—
435C2×D4—42no—
436C2×D4—42no—
437C2×D4—42no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—42no—
444C2×D4—42no—
445C2×D4—42no—
446C2×D4—42no—
447C2×D4—42no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—84no—
456C2×D4—84no—
457C2×D4—84no—
458C2×D4—84no—
459C2×D4—84no—
460C2×D4—84no—
461C2×D4—816no—
462C2×D4—816no—
463C2×D4—816no—
464C2×D4—816no—
465C2×D4—816no—
466C2×D4—816no—
467C2×D4C2×#4114yes—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
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—22no—
489C22×C4—22no—
490C22×C4—48no—
491C22×C4—48no—
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—48no—
507C22×C4—816no—
508C22×C4AGL(1,ℤ/8)14yes—
509C22×C4AGL(1,ℤ/8)14yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C2×#4112yes—
518C22×C4C2×#4112yes—
519C22×C4H(5,𝔽2)12yes—
520C22×C4H(5,𝔽2)12yes—
521C22×C4H(5,𝔽2)12yes—
522C22×C42−1+412yes—
523C22×C4C2511yescharacteristic
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—44no—
537C2×C8—44no—
538C2×C8—44no—
539C2×C8—44no—
540C4⋊C4—24no—
541C4⋊C4—28no—
542C4⋊C4—28no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—48no—
557C4⋊C4—48no—
558C4⋊C4—84no—
559C4⋊C4—84no—
560C4⋊C4C2×#4114yes—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C42—24no—
567C42—24no—
568C42—24no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—22no—
574C42—22no—
575C42—84no—
576C23—24no—
577C23—42no—
578C23—42no—
579C23—48no—
580C23—48no—
581C23—42no—
582C23—42no—
583C23—48no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23#53512yes—
619C23#54612yes—
620C23#54812yes—
621C23C2×AGL(1,ℤ/8)12yes—
622C23C2×AGL(1,ℤ/8)12yes—
623C23#57612yes—
624C23#57712yes—
625C23C23×D411yescharacteristic
626D4—24no—
627D4—24no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—48no—
636D4—42no—
637D4—42no—
638D4—42no—
639D4—816no—
640D4—816no—
641D4—816no—
642D4—816no—
643D4—816no—
644D4—816no—
645D4—84no—
646D4—84no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—28no—
650C2×C4—28no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—48no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—44no—
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—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—816no—
686C2×C4—84no—
687C2×C4—84no—
688C2×C4—84no—
689C2×C4—84no—
690C2×C4#53512yes—
691C2×C4#53914yes—
692C2×C4#54014yes—
693C2×C4#54612yes—
694C2×C4#54812yes—
695C2×C4#55314yes—
696C2×C4#56214yes—
697C2×C4C2×AGL(1,ℤ/8)14yes—
698C2×C4C2×AGL(1,ℤ/8)14yes—
699C2×C4C22×#4111yescharacteristic
700C2×C4C22×#4111yescharacteristic
701C2×C4C2×H(5,𝔽2)11yescharacteristic
702C2×C4C2×H(5,𝔽2)11yescharacteristic
703C2×C4C2×H(5,𝔽2)11yescharacteristic
704C2×C4C2×2−1+411yescharacteristic
705C8—42no—
706C8—42no—
707C8—42no—
708C8—42no—
709C22—44no—
710C22—44no—
711C22—44no—
712C22—816no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—168no—
732C22—168no—
733C22#271114yes—
734C22#321714yes—
735C22#322414yes—
736C22#331814yes—
737C22#332414yes—
738C22#336614yes—
739C22#336814yes—
740C22C2×#53511yescharacteristic
741C22C2×#54611yescharacteristic
742C22C2×#54811yescharacteristic
743C22C22×AGL(1,ℤ/8)11yescharacteristic
744C22C22×AGL(1,ℤ/8)11yescharacteristic
745C22C2×#57611yescharacteristic
746C22C2×#57711yescharacteristic
747C4—24no—
748C4—24no—
749C4—44no—
750C4—42no—
751C4—42no—
752C4—42no—
753C4—42no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4#271114yes—
759C4C2×#53911yescharacteristic
760C4C2×#54011yescharacteristic
761C4C2×#55311yescharacteristic
762C4C2×#56211yescharacteristic
763C2—84no—
764C2—162no—
765C2—162no—
766C2#3209418yesdirect product factor
767C2C2×#271111yescharacteristic
768C2C2×#321711yescharacteristic
769C2C2×#322411yescharacteristic
770C2C2×#331811yescharacteristic
771C2C2×#332411yescharacteristic
772C2C2×#336611yescharacteristic
773C2C2×#336811yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2541C2
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
2. C2×#2509C2semidirect
3. #32094C2direct (N × H)
4. C2×#2092C2semidirect
5. C2×#2067C2semidirect
6. C2×#2041C2semidirect
7. C2×#2041C2semidirect
8. C2×#2041C2semidirect
9. C2×#2041C2semidirect
10. C2×#1982C2semidirect
11. C2×#1961C2semidirect
12. C2×#1936C2semidirect
13. C2×#1926C2semidirect
14. C2×#1917C2semidirect
15. C2×#1864C2semidirect
16. C2×#1862C2semidirect
42. #2509C22semidirect
58. #2092C22semidirect
59. #2067C22semidirect
60. #2041C22semidirect
61. #2041C22semidirect
62. #2041C22semidirect
63. #2041C22semidirect
64. #1982C22semidirect
65. #1961C22semidirect
66. #1936C22semidirect
67. #1926C22semidirect
68. #1917C22semidirect
69. #1864C22semidirect
70. #1862C22semidirect
766. C2#32094direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#25412
C2×#25092
#320942
C2×#20922
C2×#20672
C2×#20412
C2×#19822
C2×#19612
C2×#19362
C2×#19262
C2×#19172
C2×#18642
C2×#18622