Finite Group Databasebeta

← C2×#26228 #6441835

Subgroups — C2×#26228 #6441835

Order 512.

2412 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2414C211yesmaximal, characteristic
2C2×#2352C211yesmaximal, characteristic, complemented
3#26228C2116yesmaximal, direct product factor
4C2×#2101C211yesmaximal, characteristic, complemented
5C2×#2075C211yesmaximal, characteristic, complemented
6C2×#2073C211yesmaximal, characteristic, complemented
7C2×#2034C211yesmaximal, characteristic, complemented
8C2×#1925C211yesmaximal, characteristic, complemented
9C2×#1919C211yesmaximal, characteristic, complemented
10C2×#1895C211yesmaximal, characteristic, complemented
11C2×#1875C211yesmaximal, characteristic, complemented
12C2×#1874C211yesmaximal, characteristic, complemented
13C2×#1870C211yesmaximal, characteristic, complemented
14C2×#1854C211yesmaximal, characteristic, complemented
15C2×#1825C211yesmaximal, characteristic, complemented
16C2×#1736C211yesmaximal, characteristic, complemented
17C23×M16C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C22×#117C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C22×#107C2211yescharacteristic
25C22×#106C2211yescharacteristic
26C22×#102C2211yescharacteristic
27C22×#102C2211yescharacteristic
28C22×#102C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×C22⋊C8C2211yescharacteristic
31C22×C22⋊C8C2211yescharacteristic
32C22×C22⋊C8C2211yescharacteristic
33#2414—24no—
34#2414C2218yes—
35C2×#394—21no—
36C2×#392—21no—
37#2352—24no—
38#2352C2218yescomplemented
39C2×#390—21no—
40C2×#390C2211yescharacteristic
41C2×#389C2211yescharacteristic
42C2×#388—21no—
43C2×#388—21no—
44C2×#387—21no—
45C2×#386—21no—
46C2×#382C2211yescharacteristic
47C2×#380C2211yescharacteristic
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×C4×C4⋊C4C2211yescharacteristic
51C2×C4×C22⋊C4—21no—
52#2101C2218yescomplemented
53#2075C2218yescomplemented
54#2073C2218yescomplemented
55#2034C2218yescomplemented
56#1925C2218yescomplemented
57#1919C2218yescomplemented
58#1895C2218yescomplemented
59#1875C2218yescomplemented
60#1874C2218yescomplemented
61#1870C2218yescomplemented
62#1854C2218yescomplemented
63#1825C2218yescomplemented
64#1736C2218yescomplemented
65C2×#340C2211yescharacteristic
66C2×#340C2211yescharacteristic
67C2×#340C2211yescharacteristic
68C2×#340C2211yescharacteristic
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×D4—21no—
78C23×D4—21no—
79C23×D4D411yescharacteristic
80C23×D4C2311yescharacteristic
81C24×C4—21no—
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C22×M16—24no—
85C22×M16—42no—
86C22×M16—42no—
87C22×M16C2314yes—
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C2×#121—22no—
93C2×#121—22no—
94C2×#121—24no—
95C2×#121—24no—
96C2×#121—24no—
97C2×#121—42no—
98C2×#121C2314yes—
99C2×#121C2314yes—
100C2×C4×D4—24no—
101C2×C4×D4—24no—
102C2×C4×D4D414yes—
103C2×C4×D4C2314yes—
104C2×#117—22no—
105C2×#117—22no—
106C2×#117—24no—
107C2×#117—24no—
108C2×#117—42no—
109C2×#117—42no—
110C2×#117C2314yes—
111C2×#117C2314yes—
112C22×C4⋊C4—24no—
113C22×C4⋊C4—22no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—42no—
117C22×C4⋊C4D411yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
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⋊C4D411yescharacteristic
136C22×C22⋊C4D411yescharacteristic
137C22×C42—21no—
138C22×C42—21no—
139C22×C42—21no—
140C22×C42C2311yescharacteristic
141C2×#107—42no—
142C2×#107C2314yes—
143C2×#106—24no—
144C2×#106C2314yes—
145C2×#102—24no—
146C2×#102—42no—
147C2×#102—42no—
148C2×#102—42no—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×C22⋊C8—24no—
154C2×C22⋊C8—42no—
155C2×C22⋊C8—42no—
156C2×C22⋊C8C2314yes—
157C2×C22⋊C8C2314yes—
158C2×C22⋊C8C2314yes—
159#394—28no—
160#392—28no—
161#390—28no—
162#390—22no—
163#390C2314yes—
164#389—22no—
165#389C2314yes—
166#388—28no—
167#388—28no—
168#387—28no—
169#386—28no—
170#382—22no—
171#382C2314yes—
172#380—22no—
173#380—22no—
174#380—22no—
175#380C2314yes—
176#380C2314yes—
177#380C2314yes—
178C4×C4⋊C4—22no—
179C4×C4⋊C4C2314yes—
180C4×C22⋊C4—28no—
181C2×#95—21no—
182C2×#95—21no—
183C2×#95—21no—
184C2×#95—21no—
185C2×#95—21no—
186C2×#95—21no—
187C2×#95—21no—
188#340C2314yes—
189#340C2314yes—
190#340C2314yes—
191#340C2314yes—
192#340C2314yes—
193#340C2314yes—
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#336C2314yes—
199#336C2314yes—
200C25—21no—
201C25C2×D411yescharacteristic
202C25C2×D411yescharacteristic
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—21no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4—22no—
210C22×D4—22no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—42no—
214C22×D4—42no—
215C22×D4—44no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4—82no—
219C22×D4—82no—
220C22×D4—82no—
221C22×D4C2×D414yes—
222C22×D4C2412yes—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—21no—
228C23×C4—21no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—21no—
236C23×C4—21no—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—21no—
240C23×C4—24no—
241C23×C4—44no—
242C23×C4—44no—
243C23×C4—82no—
244C23×C4C2×D412yes—
245C23×C4C2×D411yescharacteristic
246C23×C4C2×D411yescharacteristic
247C23×C4C2×D411yescharacteristic
248C23×C4C2×D412yes—
249C23×C4C2×D411yescharacteristic
250C23×C4#4114yes—
251C23×C4#4114yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2411yescharacteristic
255C2×M16—28no—
256C2×M16—44no—
257C2×M16—44no—
258C2×M16—416no—
259C22×C8—22no—
260C22×C8—22no—
261C22×C8—22no—
262C22×C8—22no—
263C22×C8—22no—
264C22×C8—22no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
268C22×C8—22no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8C2412yes—
272C22×C8C2412yes—
273C22×C8C2412yes—
274C22×C8C2412yes—
275#121—28no—
276#121—28no—
277#121—28no—
278#121—44no—
279#121—48no—
280#121—48no—
281C4×D4—216no—
282C4×D4—28no—
283C4×D4—28no—
284#117—28no—
285#117—28no—
286#117—44no—
287#117—44no—
288#117—48no—
289#117—48no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—28no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—48no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4—82no—
317C2×C4⋊C4C2×D414yes—
318C2×C4⋊C4#4114yes—
319C2×C4⋊C4#4114yes—
320C2×C4⋊C4C2412yes—
321C2×C4⋊C4C2412yes—
322C2×C4⋊C4C2412yes—
323C2×C4⋊C4C2412yes—
324C2×C4⋊C4C2412yes—
325C2×C4⋊C4C2412yes—
326C2×C4⋊C4C2412yes—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—82no—
345C2×C22⋊C4—82no—
346C2×C22⋊C4—82no—
347C2×C22⋊C4C2×D414yes—
348C2×C22⋊C4C2×D414yes—
349C2×C42—22no—
350C2×C42—22no—
351C2×C42—24no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—44no—
355C2×C42—44no—
356C2×C42—82no—
357C2×C42C2×D412yes—
358C2×C42C2412yes—
359#107—44no—
360#106—28no—
361#102—28no—
362#102—44no—
363#102—44no—
364#102—44no—
365C22⋊C8—28no—
366C22⋊C8—44no—
367C22⋊C8—44no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—24no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—42no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24#12314yes—
397C24C22×D412yes—
398C24C22×D412yes—
399C24C22×D411yescharacteristic
400C2×D4—28no—
401C2×D4—22no—
402C2×D4—22no—
403C2×D4—22no—
404C2×D4—22no—
405C2×D4—22no—
406C2×D4—22no—
407C2×D4—44no—
408C2×D4—44no—
409C2×D4—48no—
410C2×D4—416no—
411C2×D4—48no—
412C2×D4—48no—
413C2×D4—42no—
414C2×D4—44no—
415C2×D4—44no—
416C2×D4—42no—
417C2×D4—42no—
418C2×D4—44no—
419C2×D4—44no—
420C2×D4—84no—
421C2×D4—84no—
422C2×D4—84no—
423C2×D4—816no—
424C2×D4—816no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—28no—
428C22×C4—28no—
429C22×C4—24no—
430C22×C4—24no—
431C22×C4—28no—
432C22×C4—28no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—48no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—44no—
470C22×C4—44no—
471C22×C4—44no—
472C22×C4—44no—
473C22×C4—48no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—84no—
490C22×C4—816no—
491C22×C4#12314yes—
492C22×C4#12318yes—
493C22×C4C22×D412yes—
494C22×C4C22×D412yes—
495C22×C4C22×D412yes—
496C22×C4C22×D412yes—
497C22×C4C22×D411yescharacteristic
498C22×C4C2×#4114yes—
499C22×C4C2×#4114yes—
500C22×C4C2×#4112yes—
501C22×C4C2×#4112yes—
502C22×C4C2×#4112yes—
503C22×C4C2×#4112yes—
504C22×C4H(5,𝔽2)12yes—
505C22×C4H(5,𝔽2)12yes—
506C22×C4C2511yescharacteristic
507M16—416no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—44no—
521C2×C8—44no—
522C2×C8—44no—
523C2×C8—44no—
524C4⋊C4—28no—
525C4⋊C4—24no—
526C4⋊C4—24no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—48no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—84no—
546C4⋊C4C2×#4114yes—
547C4⋊C4C2×#4114yes—
548C22⋊C4—28no—
549C22⋊C4—28no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—84no—
557C22⋊C4—84no—
558C22⋊C4—84no—
559C42—24no—
560C42—22no—
561C42—22no—
562C42—48no—
563C42—48no—
564C42—84no—
565C23—28no—
566C23—28no—
567C23—22no—
568C23—22no—
569C23—28no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—44no—
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—
606C23C2×#12314yes—
607C23C2×#12312yes—
608C23#54612yes—
609C23#54612yes—
610C23#57512yes—
611C23#57512yes—
612C23#57612yes—
613C23#57712yes—
614C23C23×D411yescharacteristic
615D4—416no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—42no—
620D4—816no—
621D4—816no—
622D4—84no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—28no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—216no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—48no—
646C2×C4—48no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—48no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—816no—
672C2×C4—84no—
673C2×C4—84no—
674C2×C4—84no—
675C2×C4—84no—
676C2×C4—84no—
677C2×C4C2×#12314yes—
678C2×C4C2×#12312yes—
679C2×C4#52914yes—
680C2×C4#53814yes—
681C2×C4#54612yes—
682C2×C4#54612yes—
683C2×C4#55314yes—
684C2×C4#55314yes—
685C2×C4C22×#4111yescharacteristic
686C2×C4C22×#4111yescharacteristic
687C2×C4C22×#4111yescharacteristic
688C2×C4C22×#4111yescharacteristic
689C2×C4C2×H(5,𝔽2)11yescharacteristic
690C2×C4C2×H(5,𝔽2)11yescharacteristic
691C8—42no—
692C8—42no—
693C8—42no—
694C8—42no—
695C22—24no—
696C22—24no—
697C22—24no—
698C22—416no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—88no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—168no—
719C22#244414yes—
720C22#309314yes—
721C22#309614yes—
722C22#330914yes—
723C22#332114yes—
724C22#332214yes—
725C22#332314yes—
726C22C22×#12311yescharacteristic
727C22C2×#54611yescharacteristic
728C22C2×#54611yescharacteristic
729C22C2×#57511yescharacteristic
730C22C2×#57511yescharacteristic
731C22C2×#57611yescharacteristic
732C22C2×#57711yescharacteristic
733C4—24no—
734C4—42no—
735C4—42no—
736C4—42no—
737C4—44no—
738C4—44no—
739C4—82no—
740C4—82no—
741C4—82no—
742C4—82no—
743C4—82no—
744C4#244414yes—
745C4C2×#52911yescharacteristic
746C4C2×#53811yescharacteristic
747C4C2×#55311yescharacteristic
748C4C2×#55311yescharacteristic
749C2—44no—
750C2—82no—
751C2—162no—
752C2#2622818yesdirect product factor
753C2C2×#244411yescharacteristic
754C2C2×#309311yescharacteristic
755C2C2×#309611yescharacteristic
756C2C2×#330911yescharacteristic
757C2C2×#332111yescharacteristic
758C2C2×#332211yescharacteristic
759C2C2×#332311yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2414C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2352C2semidirect
3. #26228C2direct (N × H)
4. C2×#2101C2semidirect
5. C2×#2075C2semidirect
6. C2×#2073C2semidirect
7. C2×#2034C2semidirect
8. C2×#1925C2semidirect
9. C2×#1919C2semidirect
10. C2×#1895C2semidirect
11. C2×#1875C2semidirect
12. C2×#1874C2semidirect
13. C2×#1870C2semidirect
14. C2×#1854C2semidirect
15. C2×#1825C2semidirect
16. C2×#1736C2semidirect
38. #2352C22semidirect
52. #2101C22semidirect
53. #2075C22semidirect
54. #2073C22semidirect
55. #2034C22semidirect
56. #1925C22semidirect
57. #1919C22semidirect
58. #1895C22semidirect
59. #1875C22semidirect
60. #1874C22semidirect
61. #1870C22semidirect
62. #1854C22semidirect
63. #1825C22semidirect
64. #1736C22semidirect
752. C2#26228direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#24142
C2×#23522
#262282
C2×#21012
C2×#20752
C2×#20732
C2×#20342
C2×#19252
C2×#19192
C2×#18952
C2×#18752
C2×#18742
C2×#18702
C2×#18542
C2×#18252
C2×#17362