Finite Group Databasebeta

← #722759

Subgroups — #722759

Order 512.

3072 conjugacy classes of subgroups.

The subgroup lattice has 785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2563C211yesmaximal, characteristic, complemented
2C2×#2628C211yesmaximal, characteristic, complemented
3C2×#2349C211yesmaximal, characteristic, complemented
4C2×#2324C211yesmaximal, characteristic
5#16400C212yesmaximal, complemented
6#16398C212yesmaximal, complemented
7#15426C214yesmaximal, complemented
8#15331C214yesmaximal, complemented
9#15225C212yesmaximal, complemented
10#15220C212yesmaximal, complemented
11#14836C212yesmaximal, complemented
12#14826C212yesmaximal, complemented
13#14155C211yesmaximal, characteristic, complemented
14#14150C211yesmaximal, characteristic, complemented
15#13970C212yesmaximal
16#13920C212yesmaximal, complemented
17#13852C211yesmaximal, characteristic, complemented
18C22×C4⋊Q8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×C4×D4C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×#117C2211yescharacteristic
23#2628—28no—
24#2563—28no—
25C2×#400C2212yes—
26C2×#399C2212yes—
27C2×#395C2212yes—
28C2×#393C2212yes—
29C2×#393C2214yes—
30#2349—28no—
31#2324—28no—
32C2×#391C2214yes—
33C2×#390C2211yescharacteristic
34C2×#390C2212yes—
35C2×#390C2212yes—
36C2×#389C2211yescharacteristic
37C2×#389C2212yes—
38C2×#389C2212yes—
39C2×#389C2212yes—
40C2×#388C2212yes—
41C2×#386C2212yes—
42C2×#386C2214yes—
43C2×#385C2212yes—
44C2×#385C2214yes—
45C2×#382C2212yes—
46C2×#382C2211yescharacteristic
47C2×#380C2212yes—
48C2×#380C2212yes—
49C2×#380C2212yes—
50C2×#380C2211yescharacteristic
51C2×#380C2212yes—
52C2×#380C2214yes—
53C2×C4×C4⋊C4C2211yescharacteristic
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C4⋊C4C2211yescharacteristic
56C2×C4×C22⋊C4C2212yes—
57C22×#95C2212yes—
58#1445C2212yes—
59#1445C2214yes—
60#1445C2212yes—
61#1444C2212yes—
62#1443C2214yes—
63#1442C2212yes—
64#1442C2214yes—
65#1441C2214yes—
66#1441C2211yescharacteristic
67#1441C2214yes—
68#1441C2214yes—
69#1441C2212yes—
70#1441C2211yescharacteristic
71#1440C2214yes—
72#1439C2211yescharacteristic
73#1439C2214yes—
74#1439C2214yes—
75#1439C2214yes—
76#1439C2212yes—
77#1439C2211yescharacteristic
78#1439C2214yes—
79#1438C2214yes—
80#1436C2214yes—
81C4⋊#95C2212yes—
82C4⋊#95C2212yes—
83C4⋊#95C2212yes—
84C22⋊#95C2214yes—
85C22⋊#95C2214yes—
86C4×#95C2212yes—
87C23×Q8C2312yes—
88C23×D4C2311yescharacteristic
89C23×D4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2314yes—
92C24×C4C2312yes—
93C2×C4⋊Q8—24no—
94C2×C4⋊Q8—24no—
95C2×C4⋊Q8—24no—
96C2×#121—24no—
97C2×#121—24no—
98C2×#121Q818yescomplemented
99C2×C4×D4—28no—
100C2×C4×D4—28no—
101C2×C4×D4—24no—
102C2×C4×D4—24no—
103C2×C4×D4—44no—
104C2×C4×D4D418yes—
105C2×#117—24no—
106C2×#117—24no—
107C2×#117—24no—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2314yes—
123C22×C22⋊C4C2311yescharacteristic
124C22×C22⋊C4C2311yescharacteristic
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C42C2311yescharacteristic
137C22×C42C2312yes—
138C22×C42C2312yes—
139C22×C42C2312yes—
140C22×C42C2311yescharacteristic
141#400—28no—
142#399—28no—
143#395—28no—
144#393—216no—
145#393—28no—
146#391—48no—
147#390—28no—
148#390—24no—
149#390—28no—
150#389—24no—
151#389—28no—
152#389—28no—
153#389—44no—
154#388—28no—
155#386—28no—
156#386—48no—
157#385—28no—
158#385—216no—
159#382—28no—
160#382D418yescomplemented
161#380—28no—
162#380—28no—
163#380—24no—
164#380—28no—
165#380—28no—
166#380—48no—
167C4×C4⋊C4—24no—
168C4×C4⋊C4—24no—
169C4×C4⋊C4—24no—
170C4×C22⋊C4—44no—
171C2×#95—28no—
172C2×#95C2312yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2311yescharacteristic
181C2×#95C2311yescharacteristic
182C2×#95C2314yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2312yes—
196C2×#95C2312yes—
197C2×#95C2312yes—
198C25C2411yescharacteristic
199C25C2412yes—
200C22×Q8—24no—
201C22×Q8—24no—
202C22×Q8—24no—
203C22×Q8—44no—
204C22×Q8—44no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4—22no—
210C22×D4—22no—
211C22×D4—44no—
212C22×D4—44no—
213C22×D4C2×D414yes—
214C22×D4C2×Q814yes—
215C22×D4C2×Q818yes—
216C22×D4#4114yes—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—28no—
226C23×C4—28no—
227C23×C4—28no—
228C23×C4—44no—
229C23×C4—44no—
230C23×C4—44no—
231C23×C4—44no—
232C23×C4—44no—
233C23×C4—44no—
234C23×C4C2×D418yes—
235C23×C4C2×Q814yes—
236C23×C4C2411yescharacteristic
237C23×C4C2414yes—
238C23×C4C2411yescharacteristic
239C23×C4C2412yes—
240C23×C4C2412yes—
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2412yes—
244C23×C4C2414yes—
245C23×C4C2411yescharacteristic
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250C23×C4C2411yescharacteristic
251C4⋊Q8—416no—
252#121—232no—
253C4×D4—232no—
254C4×D4—432no—
255#117—416no—
256C2×C4⋊C4—22no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4—42no—
287C2×C4⋊C4—44no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4C2×D418yes—
296C2×C4⋊C4C2×D414yes—
297C2×C4⋊C4C2×Q814yes—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—22no—
304C2×C22⋊C4—22no—
305C2×C22⋊C4—22no—
306C2×C22⋊C4—22no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—22no—
309C2×C22⋊C4—22no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—42no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4C2×D418yes—
333C2×C22⋊C4C2×Q818yes—
334C2×C42—22no—
335C2×C42—22no—
336C2×C42—24no—
337C2×C42—24no—
338C2×C42—22no—
339C2×C42—24no—
340C2×C42—24no—
341C2×C42—24no—
342C2×C42—24no—
343C2×C42—24no—
344C2×C42—44no—
345C2×C42C2×D414yes—
346C2×C42C2×D414yes—
347C2×C42#4114yes—
348#95—22no—
349#95—28no—
350#95—22no—
351#95—24no—
352#95—24no—
353#95—28no—
354#95—28no—
355#95—24no—
356#95—28no—
357#95—24no—
358#95—28no—
359#95—24no—
360#95—28no—
361#95—28no—
362#95—44no—
363#95—42no—
364#95—42no—
365#95—42no—
366#95—42no—
367#95—42no—
368#95—44no—
369#95—44no—
370#95—44no—
371#95—44no—
372#95C2×D418yes—
373#95C2×D418yes—
374C24—22no—
375C24—22no—
376C24—24no—
377C24—22no—
378C24—22no—
379C24—24no—
380C24—24no—
381C24—24no—
382C24—21no—
383C24—21no—
384C24—21no—
385C24—21no—
386C24—22no—
387C24—21no—
388C24—21no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24C22×D414yes—
393C24C22×Q812yes—
394C24C22×Q814yes—
395C24C2×#4114yes—
396C24C2511yescharacteristic
397C2×Q8—416no—
398C2×Q8—48no—
399C2×Q8—88no—
400C2×Q8—84no—
401C2×Q8—84no—
402C2×D4—216no—
403C2×D4—28no—
404C2×D4—28no—
405C2×D4—28no—
406C2×D4—28no—
407C2×D4—28no—
408C2×D4—28no—
409C2×D4—416no—
410C2×D4—84no—
411C2×D4—84no—
412C2×D4—88no—
413C2×D4C22⋊Q8116yes—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—21no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—21no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—24no—
427C22×C4—22no—
428C22×C4—21no—
429C22×C4—24no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—24no—
433C22×C4—24no—
434C22×C4—21no—
435C22×C4—24no—
436C22×C4—24no—
437C22×C4—22no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—22no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—22no—
444C22×C4—28no—
445C22×C4—28no—
446C22×C4—28no—
447C22×C4—216no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
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—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—24no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—416no—
494C22×C4—416no—
495C22×C4—416no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—88no—
501C22×C4—88no—
502C22×C4—88no—
503C22×C4—88no—
504C22×C4—88no—
505C22×C4—88no—
506C22×C4C22×D414yes—
507C22×C4C22×D418yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×Q812yes—
515C22×C4C22×Q814yes—
516C22×C4C22×Q812yes—
517C22×C4C2×#4112yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4112yes—
520C22×C4C2×#4112yes—
521C22×C4H(5,𝔽2)14yes—
522C22×C4H(5,𝔽2)12yes—
523C22×C42−1+412yes—
524C4⋊C4—28no—
525C4⋊C4—28no—
526C4⋊C4—216no—
527C4⋊C4—48no—
528C4⋊C4—44no—
529C4⋊C4—44no—
530C4⋊C4—44no—
531C4⋊C4—44no—
532C4⋊C4—48no—
533C4⋊C4—48no—
534C4⋊C4—44no—
535C4⋊C4—84no—
536C4⋊C4—88no—
537C4⋊C4—88no—
538C4⋊C4—88no—
539C22⋊C4—216no—
540C22⋊C4—216no—
541C22⋊C4—416no—
542C22⋊C4—48no—
543C22⋊C4—48no—
544C22⋊C4—44no—
545C22⋊C4—44no—
546C22⋊C4—84no—
547C22⋊C4—88no—
548C22⋊C4—84no—
549C22⋊C4—84no—
550C22⋊C4—88no—
551C22⋊C4—88no—
552C42—44no—
553C42—48no—
554C42—48no—
555C42—84no—
556C42#121116yes—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—28no—
568C23—28no—
569C23—28no—
570C23—28no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—24no—
576C23—44no—
577C23—44no—
578C23—44no—
579C23—44no—
580C23—44no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—41no—
585C23—41no—
586C23—42no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—42no—
592C23—41no—
593C23—42no—
594C23—41no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23C2×C22⋊Q818yes—
603C23C23×D411yescharacteristic
604C23C23×D411yescharacteristic
605C23C23×Q811yescharacteristic
606C23C22×#4111yescharacteristic
607C23C22×#4111yescharacteristic
608C23C2×H(5,𝔽2)11yescharacteristic
609C23C2×H(5,𝔽2)12yes—
610C23C2×2−1+411yescharacteristic
611C23#58512yes—
612C23#58512yes—
613C23#58512yes—
614Q8—816no—
615D4—232no—
616D4—816no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—24no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—28no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—28no—
634C2×C4—24no—
635C2×C4—28no—
636C2×C4—28no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—44no—
647C2×C4—42no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—42no—
653C2×C4—44no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—416no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—44no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—41no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—816no—
701C2×C4—832no—
702C2×C4C2×#12114yes—
703C2×C4C2×#12114yes—
704C2×C4C2×#12114yes—
705C2×C4C2×C22⋊Q814yes—
706C2×C4#53714yes—
707C2×C4#54614yes—
708C2×C4D4×Q814yes—
709C2×C4#55214yes—
710C2×C4#55414yes—
711C22—28no—
712C22—28no—
713C22—28no—
714C22—48no—
715C22—44no—
716C22—48no—
717C22—48no—
718C22—44no—
719C22—44no—
720C22—44no—
721C22—48no—
722C22—44no—
723C22—42no—
724C22—44no—
725C22—42no—
726C22—42no—
727C22—81no—
728C22—82no—
729C22—81no—
730C22—81no—
731C22—81no—
732C22—82no—
733C22C22×#12111yescharacteristic
734C22C22×C22⋊Q811yescharacteristic
735C22C2×#53711yescharacteristic
736C22#346012yes—
737C22C2×#54611yescharacteristic
738C22C2×D4×Q811yescharacteristic
739C22C2×#55211yescharacteristic
740C22C2×#55411yescharacteristic
741C22#348511yescharacteristic
742C22#348511yescharacteristic
743C22#348812yes—
744C22#349811yescharacteristic
745C22#350012yes—
746C22#350011yescharacteristic
747C22#350112yes—
748C22#350412yes—
749C22#351012yes—
750C22#351312yes—
751C22#352112yes—
752C22#354012yes—
753C22#354212yes—
754C22#354712yes—
755C22#356512yes—
756C4—24no—
757C4—24no—
758C4—44no—
759C4—42no—
760C4—48no—
761C4—44no—
762C4—44no—
763C4—81no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—81no—
768C4—84no—
769C4—82no—
770C4#241718yes—
771C2—48no—
772C2—82no—
773C2C2×#241711yescharacteristic
774C2#3525611yescharacteristic
775C2#3561711yescharacteristic
776C2#3583611yescharacteristic
777C2#3603111yescharacteristic
778C2#3827612yes—
779C2#3969412yes—
780C2#4264611yescharacteristic
781C2#4265011yescharacteristic
782C2#4493912yes—
783C2#4504912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#121C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2563C2semidirect
2. C2×#2628C2semidirect
3. C2×#2349C2semidirect
5. #16400C2semidirect
6. #16398C2semidirect
7. #15426C2semidirect
8. #15331C2semidirect
9. #15225C2semidirect
10. #15220C2semidirect
11. #14836C2semidirect
12. #14826C2semidirect
13. #14155C2semidirect
14. #14150C2semidirect
16. #13920C2semidirect
17. #13852C2semidirect
98. C2×#121Q8semidirect
160. #382D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25632
C2×#26282
C2×#23492
C2×#23242
#164002
#163982
#154262
#153312
#152252
#152202
#148362
#148262
#141552
#141502
#139702
#139202
#138522