Finite Group Databasebeta

← #15881248

Subgroups — #15881248

Order 3328.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718813C211yesmaximal, characteristic
2C2×D8×Dic13C211yesmaximal, characteristic
3#13117741C211yesmaximal, characteristic, complemented
4D4×#6101C211yesmaximal, characteristic, complemented
5#13115579C211yesmaximal, characteristic, complemented
6#13115562C211yesmaximal, characteristic, complemented
7#13115097C211yesmaximal, characteristic, complemented
8#13115095C211yesmaximal, characteristic, complemented
9#13115083C211yesmaximal, characteristic, complemented
10#13115081C211yesmaximal, characteristic, complemented
11#13115001C211yesmaximal, characteristic, complemented
12#13114844C211yesmaximal, characteristic, complemented
13#13114834C211yesmaximal, characteristic, complemented
14#13114712C211yesmaximal, characteristic, complemented
15C2×C13×#442C211yesmaximal, characteristic
16C22×C13×D8C2211yescharacteristic
17C2×C4×D4×C13C2211yescharacteristic
18C2×C4×D4×C13C2211yescharacteristic
19C2×D4×Dic13C2211yescharacteristic
20C2×D4×Dic13C2211yescharacteristic
21C2×D4×Dic13C2211yescharacteristic
22C2×D4×Dic13C2211yescharacteristic
23C22×#6101—21no—
24C13×#442—24no—
25C2×C13×#106C2211yescharacteristic
26C2×C13×#102C2211yescharacteristic
27C2×C13×#102C2211yescharacteristic
28C2×C13×#97C2211yescharacteristic
29C2×#88072C2211yescharacteristic
30C2×#88072C2211yescharacteristic
31C2×#88072C2211yescharacteristic
32C2×#88072C2211yescharacteristic
33#11718871—21no—
34#11718871—21no—
35C2×#88071—21no—
36#11718813C418yescomplemented
37D8×Dic13—24no—
38C2×#88058C2211yescharacteristic
39C2×#88057C2211yescharacteristic
40C2×#88055C2211yescharacteristic
41C2×#88054C2211yescharacteristic
42C2×C8×Dic13C2211yescharacteristic
43#11718638C2211yescharacteristic
44#11718637C2211yescharacteristic
45#11718634C2211yescharacteristic
46#11718634C2211yescharacteristic
47C2×#88048C2211yescharacteristic
48C2×#88047C2211yescharacteristic
49#11718607—21no—
50#11718607—21no—
51#11718603—21no—
52#11718603—21no—
53C4×#6101C2211yescharacteristic
54#11718589C2211yescharacteristic
55#11718589C2211yescharacteristic
56#11718143C2211yescharacteristic
57#11718143C2211yescharacteristic
58#11718142C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718116C2211yescharacteristic
62C22×D4×C13C2311yescharacteristic
63C22×D4×C13C2311yescharacteristic
64C23×C4×C13—21no—
65C23×C4×C13—21no—
66C23×Dic13—21no—
67C23×Dic13—21no—
68C23×Dic13—21no—
69C23×Dic13—21no—
70C2×C13×D8C2×C414yes—
71C2×C13×D8D414yes—
72C2×C13×D8Q814yes—
73C22×C8×C13C2311yescharacteristic
74C22×C8×C13C2311yescharacteristic
75C4×D4×C13—22no—
76C4×D4×C13—22no—
77C4×D4×C13—41no—
78C4×D4×C13—41no—
79C2×C13×C4⋊C4C2311yescharacteristic
80C2×C13×C4⋊C4C2311yescharacteristic
81C2×C13×C22⋊C4—21no—
82C2×C13×C22⋊C4—21no—
83C2×C42×C13C2311yescharacteristic
84C2×C22⋊Dic13—21no—
85C2×C22⋊Dic13—21no—
86C2×C22⋊Dic13—21no—
87C2×C22⋊Dic13—21no—
88D4×Dic13—22no—
89D4×Dic13—22no—
90D4×Dic13—22no—
91D4×Dic13—22no—
92D4×Dic13—41no—
93D4×Dic13—41no—
94D4×Dic13C2×C414yescomplemented
95D4×Dic13C2×C414yescomplemented
96C2×C4⋊Dic13C2311yescharacteristic
97C2×C4⋊Dic13C2311yescharacteristic
98C2×C4⋊Dic13C2311yescharacteristic
99C2×C4⋊Dic13C2311yescharacteristic
100C2×#6101—21no—
101C2×#6101—21no—
102C2×#6101—21no—
103C2×#6101—21no—
104C2×#6101—21no—
105C2×#6101—21no—
106C2×#6101—44no—
107C2×#6101D411yescharacteristic
108C2×#6101D411yescharacteristic
109C2×C4×Dic13C2311yescharacteristic
110C2×C4×Dic13C2311yescharacteristic
111C22×#1055C2311yescharacteristic
112C22×#1055C2311yescharacteristic
113C13×#106—22no—
114C13×#102—22no—
115C13×#102—22no—
116C13×#97—22no—
117#88072—22no—
118#88072—22no—
119#88072C2×C414yescomplemented
120#88072C2×C414yescomplemented
121#88071—21no—
122#88071—21no—
123#88071—21no—
124#88071—21no—
125#88071—21no—
126#88071—21no—
127#88071D411yescharacteristic
128#88071D411yescharacteristic
129#88058—22no—
130#88057C2×C414yescomplemented
131#88055C2×C414yescomplemented
132#88054—22no—
133C8×Dic13—22no—
134#88048—41no—
135#88047—41no—
136#22676—131nomaximal, Sylow
137C24×C13—21no—
138C24×C13—21no—
139C2×D4×C13—21no—
140C2×D4×C13—21no—
141C2×D4×C13—21no—
142C2×D4×C13—21no—
143C2×D4×C13—21no—
144C2×D4×C13—21no—
145C2×D4×C13C22×C412yes—
146C2×D4×C13C22×C412yes—
147C2×D4×C13C2×D412yes—
148C2×D4×C13C2×D412yes—
149C2×D4×C13C2×Q812yes—
150C2×D4×C13C2×Q812yes—
151C22×C4×C13—21no—
152C22×C4×C13—21no—
153C22×C4×C13—42no—
154C22×C4×C13—42no—
155C22×C4×C13—42no—
156C22×C4×C13—42no—
157C22×C4×C13—81no—
158C22×C4×C13—81no—
159C22×C4×C13C2×D411yescharacteristic
160C22×C4×C13C2×D411yescharacteristic
161C22×C4×C13C2411yescharacteristic
162C22×Dic13—21no—
163C22×Dic13—21no—
164C22×Dic13—24no—
165C22×Dic13—24no—
166C22×Dic13—21no—
167C22×Dic13—21no—
168C22×Dic13—42no—
169C22×Dic13—42no—
170C22×Dic13—42no—
171C22×Dic13—42no—
172C22×Dic13—42no—
173C22×Dic13—42no—
174C22×Dic13—81no—
175C22×Dic13—81no—
176C22×Dic13—81no—
177C22×Dic13—81no—
178C22×Dic13C2×D411yescharacteristic
179C22×Dic13C2×D411yescharacteristic
180C22×Dic13C2×D411yescharacteristic
181C22×Dic13C2×D411yescharacteristic
182C13×D8C4⋊C4116yescomplemented
183C2×C8×C13—21no—
184C2×C8×C13—21no—
185C2×C8×C13—21no—
186C2×C8×C13C22×C412yes—
187C2×C8×C13C2×D412yes—
188C2×C8×C13C2×Q812yes—
189C13×C4⋊C4—21no—
190C13×C4⋊C4—21no—
191C13×C4⋊C4—21no—
192C13×C4⋊C4—21no—
193C13×C22⋊C4—42no—
194C13×C22⋊C4—42no—
195C42×C13—21no—
196C42×C13—21no—
197C22⋊Dic13—24no—
198C22⋊Dic13—24no—
199C22⋊Dic13—42no—
200C22⋊Dic13—42no—
201C4⋊Dic13—21no—
202C4⋊Dic13—21no—
203C4⋊Dic13—21no—
204C4⋊Dic13—21no—
205C4⋊Dic13—21no—
206C4⋊Dic13—21no—
207C4⋊Dic13C22×C412yes—
208C4⋊Dic13C22×C412yes—
209#6101—22no—
210#6101—41no—
211#6101—42no—
212#6101—42no—
213#6101—42no—
214#6101—81no—
215#6101—81no—
216#6101—81no—
217C4×Dic13—21no—
218C4×Dic13—21no—
219C4×Dic13C22×C412yes—
220C4×Dic13#4112yes—
221C2×#1055—21no—
222C2×#1055—21no—
223C2×#1055—21no—
224C2×#1055—21no—
225C2×#1055—21no—
226C2×#1055C22×C412yes—
227C2×#442—131no—
228C2×#442D1311yescharacteristic
229C2×C4×D8—131no—
230#2349—131no—
231D4×C4⋊C4—131no—
232#1944—131no—
233#1941—131no—
234#1864—131no—
235#1864—131no—
236#1862—131no—
237#1862—131no—
238#1847—131no—
239#1804—131no—
240#1802—131no—
241#1771—131no—
242C23×C13—22no—
243C23×C13—22no—
244C23×C13—22no—
245C23×C13—22no—
246C23×C13—22no—
247C23×C13—22no—
248C23×C13—41no—
249C23×C13—41no—
250C23×C13—41no—
251C23×C13—41no—
252C23×C13—41no—
253C23×C13—41no—
254C23×C13—41no—
255C23×C13—41no—
256C23×C13C22×D411yescharacteristic
257D4×C13—22no—
258D4×C13—22no—
259D4×C13—22no—
260D4×C13—22no—
261D4×C13—22no—
262D4×C13—22no—
263D4×C13C2×C4⋊C414yes—
264D4×C13C2×C4⋊C414yescomplemented
265C2×C4×C13—21no—
266C2×C4×C13—21no—
267C2×C4×C13—21no—
268C2×C4×C13—21no—
269C2×C4×C13—21no—
270C2×C4×C13—21no—
271C2×C4×C13—41no—
272C2×C4×C13—41no—
273C2×C4×C13—41no—
274C2×C4×C13—41no—
275C2×C4×C13—41no—
276C2×C4×C13—41no—
277C2×C4×C13—84no—
278C2×C4×C13—84no—
279C2×C4×C13C23×C411yescharacteristic
280C2×C4×C13C22×D411yescharacteristic
281C2×C4×C13C22×Q811yescharacteristic
282C2×C4×C13C2×#4111yescharacteristic
283C2×C4×C13H(5,𝔽2)11yescharacteristic
284C2×C4×C132−1+411yescharacteristic
285C2×Dic13—21no—
286C2×Dic13—21no—
287C2×Dic13—21no—
288C2×Dic13—21no—
289C2×Dic13—21no—
290C2×Dic13—21no—
291C2×Dic13—22no—
292C2×Dic13—22no—
293C2×Dic13—21no—
294C2×Dic13—21no—
295C2×Dic13—21no—
296C2×Dic13—48no—
297C2×Dic13—41no—
298C2×Dic13—41no—
299C2×Dic13—41no—
300C2×Dic13—41no—
301C2×Dic13—41no—
302C2×Dic13—41no—
303C2×Dic13—41no—
304C2×Dic13—41no—
305C2×Dic13—41no—
306C2×Dic13—41no—
307C2×Dic13—84no—
308C2×Dic13—84no—
309C2×Dic13—84no—
310C2×Dic13C4×D412yes—
311C2×Dic13C4×D412yes—
312C2×Dic13AGL(1,ℤ/8)12yes—
313C8×C13—41no—
314C8×C13C2×C4⋊C414yescomplemented
315#1055—22no—
316#1055—41no—
317C22×D8C2×D1311yescharacteristic
318C2×C4×D4—131no—
319C2×C4×D4—131no—
320C2×C4×D4—131no—
321C2×C4×D4—131no—
322C2×C4×D4C2×D1311yescharacteristic
323C2×C4×D4C2×D1311yescharacteristic
324C22×C4⋊C4—261no—
325#442—24no—
326#442—138no—
327C4×D8—264no—
328C2×#107—131no—
329C2×#107—131no—
330C2×#106—131no—
331C2×#106—131no—
332C2×#106C2×D1311yescharacteristic
333C2×C4⋊C8—131no—
334C2×#102—131no—
335C2×#102—131no—
336C2×#102—131no—
337C2×#102—131no—
338C2×#102C2×D1311yescharacteristic
339C2×#102C2×D1311yescharacteristic
340C2×#97—131no—
341C2×#97C2×D1311yescharacteristic
342C2×C4×C8—131no—
343#389—131no—
344#389—131no—
345#389—131no—
346#389—131no—
347#385—261no—
348#385—261no—
349#385—261no—
350#385—261no—
351#384—131no—
352#382—131no—
353#380—261no—
354#380—261no—
355C4×C4⋊C4—131no—
356C2×#95—261no—
357#340—131no—
358#340—131no—
359#340—131no—
360#340—131no—
361#336—131no—
362#336—131no—
363C22×C13—24no—
364C22×C13—24no—
365C22×C13—42no—
366C22×C13—42no—
367C22×C13—42no—
368C22×C13—42no—
369C22×C13—42no—
370C22×C13—42no—
371C22×C13—42no—
372C22×C13—42no—
373C22×C13—42no—
374C22×C13—42no—
375C22×C13—42no—
376C22×C13—42no—
377C22×C13C2×C4×D411yescharacteristic
378C22×C13D4211yescharacteristic
379C22×C13D4×Q811yescharacteristic
380C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
381C22×C13#57511yescharacteristic
382C22×C13#57611yescharacteristic
383C22×C13#57711yescharacteristic
384C4×C13—41no—
385C4×C13—41no—
386C4×C13—81no—
387C4×C13—81no—
388C4×C13C22×C4⋊C411yescharacteristic
389C4×C13#52011yescharacteristic
390C4×C13#54711yescharacteristic
391C4×C13#55411yescharacteristic
392Dic13—22no—
393Dic13—22no—
394Dic13—22no—
395Dic13—42no—
396Dic13—42no—
397Dic13—41no—
398Dic13—81no—
399Dic13—81no—
400C22×D4C22×D1311yescharacteristic
401C22×D4C22×D1311yescharacteristic
402C23×C4—21no—
403C23×C4—21no—
404C23×C4—261no—
405C23×C4—261no—
406C23×C4—261no—
407C23×C4—261no—
408C2×D8Dic2614yes—
409C2×D8C4×D1314yes—
410C2×D8C22⋊D1314yes—
411C22×C8—131no—
412C22×C8—131no—
413C22×C8C22×D1311yescharacteristic
414C22×C8C22×D1311yescharacteristic
415C4×D4—22no—
416C4×D4—22no—
417C4×D4—41no—
418C4×D4—41no—
419C4×D4—134no—
420C4×D4—134no—
421C4×D4—262no—
422C4×D4—262no—
423C4×D4—262no—
424C4×D4—262no—
425C4×D4—521no—
426C4×D4—521no—
427C2×C4⋊C4—131no—
428C2×C4⋊C4—131no—
429C2×C4⋊C4—131no—
430C2×C4⋊C4—131no—
431C2×C4⋊C4—131no—
432C2×C4⋊C4—131no—
433C2×C4⋊C4—261no—
434C2×C4⋊C4—261no—
435C2×C4⋊C4—261no—
436C2×C4⋊C4—261no—
437C2×C4⋊C4—261no—
438C2×C4⋊C4—261no—
439C2×C4⋊C4—524no—
440C2×C4⋊C4C22×D1311yescharacteristic
441C2×C4⋊C4C22×D1311yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—261no—
445C2×C22⋊C4—261no—
446C2×C22⋊C4—261no—
447C2×C22⋊C4—261no—
448C2×C42—131no—
449C2×C42—131no—
450C2×C42C22×D1311yescharacteristic
451#107—262no—
452#107—521no—
453#106—22no—
454#106—134no—
455#106—521no—
456C4⋊C8—262no—
457#102—22no—
458#102—22no—
459#102—134no—
460#102—134no—
461#102—262no—
462#102—262no—
463#97—22no—
464#97—134no—
465C4×C8—262no—
466#95—131no—
467#95—131no—
468#95—261no—
469#95—261no—
470#95—261no—
471#95—261no—
472#95—261no—
473#95—261no—
474C2×C13—44no—
475C2×C13—44no—
476C2×C13D4×C4⋊C411yescharacteristic
477C2×C13C4×AGL(1,ℤ/8)11yescharacteristic
478C2×C13#294611yescharacteristic
479C2×C13#326411yescharacteristic
480C2×C13#326711yescharacteristic
481C2×C13#338411yescharacteristic
482C2×C13#338911yescharacteristic
483C24—21no—
484C24—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4C2×Dic2612yes—
492C2×D4C2×Dic2612yes—
493C2×D4C2×C4×D1312yes—
494C2×D4C2×C4×D1312yes—
495C2×D4C2×C22⋊D1312yes—
496C2×D4C2×C22⋊D1312yes—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—81no—
504C22×C4—81no—
505C22×C4—131no—
506C22×C4—131no—
507C22×C4—131no—
508C22×C4—131no—
509C22×C4—264no—
510C22×C4—264no—
511C22×C4—261no—
512C22×C4—261no—
513C22×C4—261no—
514C22×C4—261no—
515C22×C4—522no—
516C22×C4—522no—
517C22×C4—522no—
518C22×C4—522no—
519C22×C4—522no—
520C22×C4—522no—
521C22×C4—1041no—
522C22×C4—1041no—
523C22×C4—1041no—
524C22×C4—1041no—
525C22×C4D4×D1311yescharacteristic
526C22×C4D4×D1311yescharacteristic
527C22×C4C23×D1311yescharacteristic
528D8#6101116yescomplemented
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—132no—
533C2×C8—261no—
534C2×C8—261no—
535C2×C8—261no—
536C2×C8—261no—
537C2×C8—261no—
538C2×C8C2×Dic2612yes—
539C2×C8C2×C4×D1312yes—
540C2×C8C2×C22⋊D1312yes—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—132no—
546C4⋊C4—132no—
547C4⋊C4—262no—
548C4⋊C4—261no—
549C4⋊C4—261no—
550C4⋊C4—261no—
551C4⋊C4—261no—
552C4⋊C4—261no—
553C4⋊C4—261no—
554C4⋊C4—521no—
555C4⋊C4—522no—
556C4⋊C4—522no—
557C4⋊C4—522no—
558C4⋊C4—1041no—
559C4⋊C4—1041no—
560C4⋊C4—1041no—
561C22⋊C4—42no—
562C22⋊C4—42no—
563C22⋊C4—264no—
564C22⋊C4—264no—
565C22⋊C4—522no—
566C22⋊C4—522no—
567C42—21no—
568C42—21no—
569C42—132no—
570C42—132no—
571C42—261no—
572C42—261no—
573C13#2267611yescharacteristic, complemented, Sylow
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23C2×D4×D1311yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—22no—
593D4—22no—
594D4—22no—
595D4C2×#610114yes—
596D4C2×#610114yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—84no—
610C2×C4—84no—
611C2×C4—132no—
612C2×C4—132no—
613C2×C4—132no—
614C2×C4—261no—
615C2×C4—261no—
616C2×C4—261no—
617C2×C4—261no—
618C2×C4—261no—
619C2×C4—261no—
620C2×C4—261no—
621C2×C4—261no—
622C2×C4—262no—
623C2×C4—262no—
624C2×C4—261no—
625C2×C4—528no—
626C2×C4—521no—
627C2×C4—521no—
628C2×C4—521no—
629C2×C4—521no—
630C2×C4—521no—
631C2×C4—521no—
632C2×C4—521no—
633C2×C4—521no—
634C2×C4—521no—
635C2×C4—521no—
636C2×C4—1044no—
637C2×C4—1044no—
638C2×C4—1044no—
639C2×C4C22×Dic2611yescharacteristic
640C2×C4C22×C4×D1311yescharacteristic
641C2×C4#8825111yescharacteristic
642C2×C4#41×D1311yescharacteristic
643C2×C4#8825711yescharacteristic
644C2×C4C22×C22⋊D1311yescharacteristic
645C8—41no—
646C8—262no—
647C8—521no—
648C8C2×#610114yescomplemented
649C22—24no—
650C22—24no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22D4×Dic2611yescharacteristic
664C22C4×D4×D1311yescharacteristic
665C22D13×AGL(1,ℤ/8)11yescharacteristic
666C22#1171947811yescharacteristic
667C22#1171947911yescharacteristic
668C22#1171948011yescharacteristic
669C22D4×C22⋊D1311yescharacteristic
670C4—41no—
671C4—41no—
672C4—81no—
673C4—81no—
674C4—262no—
675C4—262no—
676C4—262no—
677C4—522no—
678C4—522no—
679C4—521no—
680C4—1041no—
681C4—1041no—
682C4#1171924411yescharacteristic
683C4#1171925111yescharacteristic
684C4C22×#610111yescharacteristic
685C4#1171952911yescharacteristic
686C2—44no—
687C2—44no—
688C2D4×#610111yescharacteristic
689C2#1312364711yescharacteristic
690C2#1312366511yescharacteristic
691C2#1312631011yescharacteristic
692C2#1312635511yescharacteristic
693C2#1312773611yescharacteristic
694C2#1312779511yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC2×C13×#442C2
socleC23×C13C22×D4
prime radicalC22×C13×D8C22
cosocleC22×C4×C13C24
hypercenterC2×#442D13
hypocenterC13#22676
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
3. #13117741C2semidirect
4. D4×#6101C2semidirect
5. #13115579C2semidirect
6. #13115562C2semidirect
7. #13115097C2semidirect
8. #13115095C2semidirect
9. #13115083C2semidirect
10. #13115081C2semidirect
11. #13115001C2semidirect
12. #13114844C2semidirect
13. #13114834C2semidirect
14. #13114712C2semidirect
36. #11718813C4semidirect
94. D4×Dic13C2×C4semidirect
95. D4×Dic13C2×C4semidirect
119. #88072C2×C4semidirect
120. #88072C2×C4semidirect
130. #88057C2×C4semidirect
131. #88055C2×C4semidirect
182. C13×D8C4⋊C4semidirect
264. D4×C13C2×C4⋊C4semidirect
314. C8×C13C2×C4⋊C4semidirect
528. D8#6101semidirect
573. C13#22676semidirect
596. D4C2×#6101semidirect
648. C8C2×#6101semidirect

Maximal subgroups

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

subgroupindex
C2×#117188132
C2×D8×Dic132
#131177412
D4×#61012
#131155792
#131155622
#131150972
#131150952
#131150832
#131150812
#131150012
#131148442
#131148342
#131147122
C2×C13×#4422
#2267613