Finite Group Databasebeta

← #28605326

Subgroups — #28605326

Order 15104.

1250 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×Dic118C211yesmaximal, characteristic
2C2×#16837530C211yesmaximal, characteristic, complemented
3#21427054C211yesmaximal, characteristic, complemented
4#21425069C211yesmaximal, characteristic, complemented
5#21425067C211yesmaximal, characteristic, complemented
6#21425055C211yesmaximal, characteristic, complemented
7#21425046C211yesmaximal, characteristic, complemented
8#21425044C211yesmaximal, characteristic, complemented
9#21425042C211yesmaximal, characteristic, complemented
10#21424106C211yesmaximal, characteristic
11#21424104C211yesmaximal, characteristic
12#21424094C211yesmaximal, characteristic
13#21423923C211yesmaximal, characteristic
14#102×Dic59C211yesmaximal, characteristic
15C59×#1762C211yesmaximal, characteristic
16C23×Dic118—21no—
17D4×Dic118—24no—
18D4×Dic118C418yescomplemented
19C2×#14273727C2211yescharacteristic
20C2×#14273726C2211yescharacteristic
21C2×#14273726C2211yescharacteristic
22C2×#14273706—21no—
23C2×#14273704—21no—
24C2×#14273704—21no—
25C2×C4×Dic118C2211yescharacteristic
26C2×D4×Dic59C2211yescharacteristic
27C2×D4×Dic59C2211yescharacteristic
28#16837530—24no—
29C2×C4⋊(C59⋊C8)C2211yescharacteristic
30C2×Dic59⋊C8C2211yescharacteristic
31C2×Dic59⋊C8C2211yescharacteristic
32C2×#14273648C2211yescharacteristic
33C2×#14273648C2211yescharacteristic
34C2×#14273637C2211yescharacteristic
35C2×C8×Dic59C2211yescharacteristic
36#16837306—21no—
37#16837286—21no—
38#16837285—21no—
39#16837271C2211yescharacteristic
40#16837268C2211yescharacteristic
41#16837267C2211yescharacteristic
42C4⋊C4×Dic59C2211yescharacteristic
43C4⋊C4×Dic59C2211yescharacteristic
44C4×Dic59⋊C4—21no—
45#16837165C2211yescharacteristic
46#16837165C2211yescharacteristic
47#16837165C2211yescharacteristic
48#16837165C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837164C2211yescharacteristic
53#16837164C2211yescharacteristic
54#16837164C2211yescharacteristic
55C2×C4×D4×C59C2211yescharacteristic
56C2×#102×C59C2211yescharacteristic
57C2×#102×C59C2211yescharacteristic
58C2×#97×C59C2211yescharacteristic
59C4×C4⋊C4×C59C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#340C2211yescharacteristic
62C22×Dic118—21no—
63C22×Dic118—21no—
64C22×Dic118—21no—
65C22×Dic118—28no—
66C22×Dic118—44no—
67C22×Dic118—44no—
68C22×Dic118D411yescharacteristic
69C23×Dic59—21no—
70C23×Dic59—21no—
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73#14273727—22no—
74#14273727C2×C414yes—
75#14273726—22no—
76#14273726—22no—
77#14273726C2×C414yes—
78#14273726C2×C414yes—
79#14273706—28no—
80#14273704—28no—
81#14273704—28no—
82C4×Dic118C2×C414yes—
83C4×Dic118D414yes—
84D4×Dic59—22no—
85D4×Dic59—22no—
86D4×Dic59C2×C414yes—
87D4×Dic59C2×C414yes—
88C2×C4⋊Dic59—21no—
89C2×C4⋊Dic59D411yescharacteristic
90C2×C4⋊Dic59C2311yescharacteristic
91C2×C4⋊Dic59C2311yescharacteristic
92C2×C4⋊Dic59C2311yescharacteristic
93C2×C4⋊Dic59C2311yescharacteristic
94C2×Dic59⋊C4—21no—
95C2×Dic59⋊C4—21no—
96C2×Dic59⋊C4—21no—
97C2×Dic59⋊C4—21no—
98C2×Dic59⋊C4D411yescharacteristic
99C2×Dic59⋊C4D411yescharacteristic
100C2×C22⋊Dic59—21no—
101C2×C22⋊Dic59—21no—
102C2×C4×Dic59—21no—
103C2×C4×Dic59—21no—
104C2×C4×Dic59C2311yescharacteristic
105C2×C4×Dic59C2311yescharacteristic
106C4⋊(C59⋊C8)—22no—
107Dic59⋊C8—22no—
108Dic59⋊C8—22no—
109#14273648—22no—
110#14273648—22no—
111#14273637—22no—
112C8×Dic59—22no—
113C59⋊#95—21no—
114C59⋊#95—21no—
115C59⋊#95—21no—
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C22×D4×C59C2311yescharacteristic
120C23×C4×C59—21no—
121C22×C8×C59C2311yescharacteristic
122C22×C8×C59C2311yescharacteristic
123C4×D4×C59—22no—
124C4×D4×C59C2×C414yes—
125C2×C4⋊C4×C59C2311yescharacteristic
126C2×C4⋊C4×C59C2311yescharacteristic
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C22⋊C4×C59—21no—
129C2×C42×C59—21no—
130C2×C42×C59C2311yescharacteristic
131#102×C59—22no—
132#102×C59Q814yescomplemented
133#97×C59—22no—
134#95×C59—21no—
135C24×C59—21no—
136C2×D4×C59—21no—
137C2×D4×C59—21no—
138C2×D4×C59—21no—
139C2×D4×C59C22×C412yes—
140C2×D4×C59C2×Q812yes—
141C2×D4×C59#4112yes—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—24no—
145C22×C4×C59—21no—
146C22×C4×C59—42no—
147C22×C4×C59—42no—
148C22×C4×C59C2×D411yescharacteristic
149C22×C4×C59C2×D411yescharacteristic
150C22×C4×C59C2411yescharacteristic
151C22×Dic59—21no—
152C22×Dic59—21no—
153C22×Dic59—24no—
154C22×Dic59—24no—
155C22×Dic59—21no—
156C22×Dic59—21no—
157C22×Dic59—42no—
158C22×Dic59—42no—
159C22×Dic59—42no—
160C22×Dic59—42no—
161C22×Dic59C2×D411yescharacteristic
162C22×Dic59C2×D411yescharacteristic
163C22×Dic59C2×D411yescharacteristic
164C22×Dic59C2×D411yescharacteristic
165C2×Dic118—22no—
166C2×Dic118—22no—
167C2×Dic118—24no—
168C2×Dic118—24no—
169C2×Dic118—24no—
170C2×Dic118—432no—
171C2×Dic118—42no—
172C2×Dic118—42no—
173C2×Dic118—42no—
174C2×Dic118—42no—
175C2×Dic118—42no—
176C2×Dic118—42no—
177C2×Dic118C22⋊C414yes—
178C2×C8×C59—21no—
179C2×C8×C59—21no—
180C2×C8×C59—21no—
181C2×C8×C59—21no—
182C2×C8×C59—21no—
183C2×C8×C59C2×Q812yescomplemented
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59C22×C412yes—
189C4⋊C4×C59C2×Q812yescomplemented
190C22⋊C4×C59—24no—
191C42×C59—81no—
192C42×C59C22×C412yes—
193C42×C59C2×D412yes—
194C22⋊Dic59—24no—
195C22⋊Dic59—24no—
196C4⋊Dic59—24no—
197C4⋊Dic59—21no—
198C4⋊Dic59—21no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59C22⋊C414yes—
204C4⋊Dic59C22×C412yes—
205C4⋊Dic59C22×C412yes—
206Dic59⋊C4—24no—
207Dic59⋊C4—24no—
208Dic59⋊C4—42no—
209Dic59⋊C4—81no—
210Dic59⋊C4C22⋊C414yes—
211Dic59⋊C4C22⋊C414yes—
212C4×Dic59—42no—
213C4×Dic59—81no—
214C4×Dic59C22×C412yes—
215C4×Dic59C22×C412yes—
216C4×Dic59C2×D412yes—
217C4×Dic59C2×D412yes—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C23×C59—22no—
225C23×C59—22no—
226C23×C59—22no—
227C23×C59—41no—
228C23×C59—41no—
229C23×C59—41no—
230C23×C59—41no—
231C23×C59C22×D411yescharacteristic
232D4×C59—22no—
233D4×C59—22no—
234D4×C59—22no—
235D4×C59C4×Q814yes—
236C2×C4×C59—21no—
237C2×C4×C59—21no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—22no—
241C2×C4×C59—22no—
242C2×C4×C59—48no—
243C2×C4×C59—41no—
244C2×C4×C59—41no—
245C2×C4×C59—41no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59—41no—
249C2×C4×C59—41no—
250C2×C4×C59C2×C22⋊C412yes—
251C2×C4×C59C2×C22⋊C412yes—
252C2×C4×C59C23×C411yescharacteristic
253C2×C4×C59C22×D411yescharacteristic
254C2×C4×C59C22×Q811yescharacteristic
255C2×C4×C59C2×#4111yescharacteristic
256C2×C4×C592−1+411yescharacteristic
257C2×C4×C592−1+411yescharacteristic
258C2×Dic59—21no—
259C2×Dic59—21no—
260C2×Dic59—21no—
261C2×Dic59—21no—
262C2×Dic59—21no—
263C2×Dic59—21no—
264C2×Dic59—22no—
265C2×Dic59—22no—
266C2×Dic59—48no—
267C2×Dic59—41no—
268C2×Dic59—41no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—48no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59C2×C22⋊C412yes—
279C2×Dic59C2×C22⋊C412yes—
280C2×Dic59C2×C22⋊C412yes—
281C2×Dic59C2×C22⋊C412yes—
282C2×Dic59AGL(1,ℤ/8)12yes—
283C2×Dic59AGL(1,ℤ/8)12yes—
284Dic118—28no—
285Dic118—48no—
286Dic118—48no—
287Dic118—48no—
288C8×C59—22no—
289C8×C59—41no—
290C59⋊C8—41no—
291C59⋊C8—41no—
292#22523—591nomaximal, Sylow
293C22×C59—24no—
294C22×C59—42no—
295C22×C59—42no—
296C22×C59—42no—
297C22×C59—42no—
298C22×C59—42no—
299C22×C59—42no—
300C22×C59C22×C22⋊C411yescharacteristic
301C22×C59#54811yescharacteristic
302C22×C59D4×Q811yescharacteristic
303C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
304C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
305C22×C59#57711yescharacteristic
306C22×C59#57811yescharacteristic
307C4×C59—22no—
308C4×C59—22no—
309C4×C59—42no—
310C4×C59—42no—
311C4×C59—81no—
312C4×C59C2×C4×Q811yescharacteristic
313C4×C59#51911yescharacteristic
314C4×C59#54811yescharacteristic
315C4×C59D4×Q811yescharacteristic
316Dic59—22no—
317Dic59—22no—
318Dic59—22no—
319Dic59—42no—
320Dic59—42no—
321Dic59—81no—
322Dic59—81no—
323Dic59#41814yes—
324C2×D4×Q8—591no—
325C2×#446—591no—
326#2355—591no—
327#1993—591no—
328#1993—591no—
329#1990—591no—
330#1988—591no—
331#1987—591no—
332#1987—591no—
333#1804—591no—
334#1804—591no—
335#1802—591no—
336#1762—591no—
337#1762D5911yescharacteristic
338C4×#102—591no—
339C2×C59—44no—
340C2×C59Q8×C22⋊C411yescharacteristic
341C2×C59C2×#41811yescharacteristic
342C2×C59#289811yescharacteristic
343C2×C59#336711yescharacteristic
344C2×C59#337311yescharacteristic
345C2×C59#338411yescharacteristic
346C2×C59#338611yescharacteristic
347C23×Q8—1181no—
348D4×Q8—598no—
349D4×Q8—1184no—
350C2×C4⋊Q8—591no—
351C2×C4⋊Q8—591no—
352C2×C4⋊Q8—591no—
353C2×C22⋊Q8—1181no—
354C2×C22⋊Q8—1181no—
355C2×C22⋊Q8—1181no—
356C2×C4×Q8—591no—
357C2×C4×D4—591no—
358C2×C4×D4—591no—
359C2×C4×D4C2×D5911yescharacteristic
360#446—1184no—
361C2×C4⋊C8—591no—
362C2×C4⋊C8—591no—
363C2×C4⋊C8—591no—
364C2×#102—591no—
365C2×#102—591no—
366C2×#102C2×D5911yescharacteristic
367C2×#102C2×D5911yescharacteristic
368C2×#97—591no—
369C2×#97C2×D5911yescharacteristic
370C2×C4×C8—591no—
371#391—1181no—
372#387—1181no—
373#387—1181no—
374#384—591no—
375#382—591no—
376#382—591no—
377C4×C4⋊C4—591no—
378C4×C4⋊C4—591no—
379C4×C4⋊C4—1181no—
380C4×C4⋊C4C2×D5911yescharacteristic
381#340—591no—
382#340—591no—
383#340—591no—
384#340—591no—
385#340—591no—
386#340—591no—
387#340—591no—
388#340—591no—
389#340—591no—
390#340—591no—
391#340C2×D5911yescharacteristic
392#340C2×D5911yescharacteristic
393C59#2252311yescharacteristic, complemented, Sylow
394C22×Q8—591no—
395C22×Q8—1181no—
396C22×Q8—1181no—
397C22×Q8—1188no—
398C22×Q8—1181no—
399C22×Q8—2364no—
400C22×Q8—2364no—
401C22×D4C22×D5911yescharacteristic
402C23×C4—21no—
403C23×C4—1181no—
404C23×C4—1181no—
405C22×C8—591no—
406C22×C8—591no—
407C22×C8C22×D5911yescharacteristic
408C22×C8C22×D5911yescharacteristic
409C4⋊Q8—594no—
410C4⋊Q8—594no—
411C4⋊Q8—594no—
412C4⋊Q8—1182no—
413C4⋊Q8—1182no—
414C4⋊Q8—1182no—
415C22⋊Q8—1188no—
416C22⋊Q8—1188no—
417C22⋊Q8—1188no—
418C4×Q8—594no—
419C4×Q8—594no—
420C4×D4—22no—
421C4×D4—594no—
422C4×D4—594no—
423C4×D4—1182no—
424C4×D4—1182no—
425C4×D4C4×D5914yes—
426C2×C4⋊C4—591no—
427C2×C4⋊C4—591no—
428C2×C4⋊C4—591no—
429C2×C4⋊C4—591no—
430C2×C4⋊C4—591no—
431C2×C4⋊C4—591no—
432C2×C4⋊C4—591no—
433C2×C4⋊C4—1181no—
434C2×C4⋊C4—1181no—
435C2×C4⋊C4—1181no—
436C2×C4⋊C4—1181no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4C22×D5911yescharacteristic
439C2×C4⋊C4C22×D5911yescharacteristic
440C2×C4⋊C4C22×D5911yescharacteristic
441C2×C22⋊C4—21no—
442C2×C22⋊C4—1181no—
443C2×C22⋊C4—1181no—
444C2×C42—21no—
445C2×C42—591no—
446C2×C42—591no—
447C2×C42—1181no—
448C2×C42—1181no—
449C2×C42C22×D5911yescharacteristic
450C4⋊C8—1182no—
451C4⋊C8—1182no—
452C4⋊C8—1182no—
453#102—22no—
454#102—1182no—
455#102—1182no—
456#102Dic11814yescomplemented
457#97—22no—
458#97—1182no—
459C4×C8—1182no—
460#95—21no—
461#95—1181no—
462#95—1181no—
463#95—1181no—
464#95—1181no—
465#95—1181no—
466#95—1181no—
467C24—21no—
468C2×Q8—594no—
469C2×Q8—1182no—
470C2×Q8—1182no—
471C2×Q8—1184no—
472C2×Q8—1184no—
473C2×Q8—1184no—
474C2×Q8—2362no—
475C2×Q8—2362no—
476C2×Q8—2362no—
477C2×Q8—2362no—
478C2×Q8—2362no—
479C2×Q8—2362no—
480C2×Q8—23632no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4C2×Dic11812yes—
485C2×D4C2×C4×D5912yes—
486C2×D4#1174568512yes—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—24no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—591no—
494C22×C4—591no—
495C22×C4—591no—
496C22×C4—591no—
497C22×C4—1184no—
498C22×C4—1184no—
499C22×C4—1181no—
500C22×C4—1181no—
501C22×C4—1181no—
502C22×C4—1181no—
503C22×C4—2362no—
504C22×C4—2362no—
505C22×C4—2362no—
506C22×C4—2362no—
507C22×C4D4×D5911yescharacteristic
508C22×C4D4×D5911yescharacteristic
509C22×C4C23×D5911yescharacteristic
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—1181no—
516C2×C8—1181no—
517C2×C8—1181no—
518C2×C8—1181no—
519C2×C8—1181no—
520C2×C8—1181no—
521C2×C8C2×Dic11812yescomplemented
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—594no—
527C4⋊C4—594no—
528C4⋊C4—594no—
529C4⋊C4—592no—
530C4⋊C4—592no—
531C4⋊C4—1184no—
532C4⋊C4—1184no—
533C4⋊C4—1184no—
534C4⋊C4—1181no—
535C4⋊C4—1181no—
536C4⋊C4—1181no—
537C4⋊C4—1181no—
538C4⋊C4—1181no—
539C4⋊C4—1181no—
540C4⋊C4—4721no—
541C4⋊C4—2362no—
542C4⋊C4C2×Dic11812yescomplemented
543C4⋊C4C2×C4×D5912yes—
544C22⋊C4—24no—
545C22⋊C4—1184no—
546C22⋊C4—1184no—
547C42—81no—
548C42—592no—
549C42—592no—
550C42—592no—
551C42—592no—
552C42—4721no—
553C42—2362no—
554C42C2×C4×D5912yes—
555C42D4×D5912yes—
556C23—22no—
557C23—22no—
558C23—22no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23C2×D4×D5911yescharacteristic
564Q8—1188no—
565Q8—2368no—
566Q8—2368no—
567Q8—2368no—
568D4—22no—
569D4—22no—
570D4—22no—
571D4C4×Dic11814yes—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—48no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—592no—
587C2×C4—592no—
588C2×C4—592no—
589C2×C4—592no—
590C2×C4—592no—
591C2×C4—592no—
592C2×C4—1181no—
593C2×C4—1181no—
594C2×C4—1181no—
595C2×C4—1181no—
596C2×C4—1181no—
597C2×C4—1181no—
598C2×C4—1182no—
599C2×C4—1182no—
600C2×C4—2368no—
601C2×C4—2368no—
602C2×C4—2361no—
603C2×C4—2361no—
604C2×C4—2361no—
605C2×C4—2361no—
606C2×C4—2361no—
607C2×C4—2361no—
608C2×C4—2361no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4—2361no—
612C2×C4C22⋊C4×D5912yes—
613C2×C4C22⋊C4×D5912yes—
614C2×C4C22×C4×D5911yescharacteristic
615C2×C4C2×D4×D5911yescharacteristic
616C2×C4C22×Dic11811yescharacteristic
617C2×C4C2×#1174568511yescharacteristic
618C2×C4#1427377411yescharacteristic
619C2×C4#1427377411yescharacteristic
620C8—22no—
621C8—41no—
622C8—2361no—
623C8—2361no—
624C22—24no—
625C22—42no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22C2×C22⋊C4×D5911yescharacteristic
632C22#1683806111yescharacteristic
633C22D4×Dic11811yescharacteristic
634C22AGL(1,ℤ/8)×D5911yescharacteristic
635C22AGL(1,ℤ/8)×D5911yescharacteristic
636C22#1683821211yescharacteristic
637C22#1683821811yescharacteristic
638C4—22no—
639C4—22no—
640C4—42no—
641C4—42no—
642C4—81no—
643C4—594no—
644C4—1182no—
645C4—1182no—
646C4—1182no—
647C4—4721no—
648C4—4721no—
649C4—2362no—
650C4—2362no—
651C4C2×C4×Dic11811yescharacteristic
652C4#1683787911yescharacteristic
653C4#1683806111yescharacteristic
654C4D4×Dic11811yescharacteristic
655C2—44no—
656C2C22⋊C4×Dic11811yescharacteristic
657C2#418×D5911yescharacteristic
658C2#2143262711yescharacteristic
659C2#2143681511yescharacteristic
660C2#2143688911yescharacteristic
661C2#2143699611yescharacteristic
662C2#2143701811yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1762C2
socleC23×C59C22×D4
prime radicalC22×D4×C59C23
cosocleC22×C4×C59C24
hypercenter#1762D59
hypocenterC59#22523
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1762

Complements

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

NH ≅ G/Ntype
2. C2×#16837530C2semidirect
3. #21427054C2semidirect
4. #21425069C2semidirect
5. #21425067C2semidirect
6. #21425055C2semidirect
7. #21425046C2semidirect
8. #21425044C2semidirect
9. #21425042C2semidirect
18. D4×Dic118C4semidirect
132. #102×C59Q8semidirect
183. C2×C8×C59C2×Q8semidirect
189. C4⋊C4×C59C2×Q8semidirect
393. C59#22523semidirect
456. #102Dic118semidirect
521. C2×C8C2×Dic118semidirect
542. C4⋊C4C2×Dic118semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Dic1182
C2×#168375302
#214270542
#214250692
#214250672
#214250552
#214250462
#214250442
#214250422
#214241062
#214241042
#214240942
#214239232
#102×Dic592
C59×#17622
#2252359