Finite Group Databasebeta

← #28624893

Subgroups — #28624893

Order 15104.

1012 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837706C211yesmaximal, characteristic, complemented
2C2×#16837694C211yesmaximal, characteristic, complemented
3#21426778C211yesmaximal, characteristic
4#21425431C211yesmaximal, characteristic, complemented
5#21425421C211yesmaximal, characteristic, complemented
6#21425244C211yesmaximal, characteristic, complemented
7#21425234C211yesmaximal, characteristic, complemented
8#21425054C211yesmaximal, characteristic, complemented
9#21425049C211yesmaximal, characteristic, complemented
10#21424408C211yesmaximal, characteristic
11#21424403C211yesmaximal, characteristic
12#21424295C211yesmaximal, characteristic
13#21424284C211yesmaximal, characteristic
14#21424080C211yesmaximal, characteristic
15C2×C59×#544C211yesmaximal, characteristic
16C2×#14273706C2211yescharacteristic
17C2×C4×Dic118C2211yescharacteristic
18#16837706—24no—
19#16837694—24no—
20C2×#14273660C2211yescharacteristic
21C2×#14273660C2211yescharacteristic
22C2×#14273660C2211yescharacteristic
23C2×#14273658C2211yescharacteristic
24C2×C4⋊(C59⋊C8)C2211yescharacteristic
25C2×C4⋊(C59⋊C8)C2211yescharacteristic
26C2×#14273650C2211yescharacteristic
27C2×#14273650C2211yescharacteristic
28C2×#14273650C2211yescharacteristic
29C2×#14273650C2211yescharacteristic
30C2×C22⋊(C59⋊C8)C2211yescharacteristic
31C2×C22⋊(C59⋊C8)C2211yescharacteristic
32#16837308C2211yescharacteristic
33#16837300C2211yescharacteristic
34#16837297—21no—
35#16837296—21no—
36#16837290—21no—
37#16837283—21no—
38#16837262C2211yescharacteristic
39C4×C4⋊Dic59C2211yescharacteristic
40#16837164C2211yescharacteristic
41#16837164C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C59×#544—24no—
51C59×#544—24no—
52C2×C4⋊Q8×C59—21no—
53C2×C4⋊Q8×C59C2211yescharacteristic
54C2×C4⋊Q8×C59C2211yescharacteristic
55C2×#125×C59—21no—
56C2×#125×C59C2211yescharacteristic
57C2×#125×C59C2211yescharacteristic
58C2×C22⋊Q8×C59—21no—
59C2×C22⋊Q8×C59—21no—
60C2×#117×C59C2211yescharacteristic
61C2×#117×C59C2211yescharacteristic
62C22×C4⋊C4×C59C2211yescharacteristic
63C22×Dic118C2311yescharacteristic
64C22×C59⋊C8C2311yescharacteristic
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68#14273706—22no—
69#14273706Q814yescomplemented
70C4×Dic118—22no—
71C4×Dic118—22no—
72C2×C4⋊Dic59C2311yescharacteristic
73C2×C4⋊Dic59C2311yescharacteristic
74C2×C4⋊Dic59C2311yescharacteristic
75C2×Dic59⋊C4—21no—
76C2×Dic59⋊C4—21no—
77C2×Dic59⋊C4—21no—
78C2×C22⋊Dic59—21no—
79C2×C22⋊Dic59—21no—
80C2×C4×Dic59—21no—
81C2×C4×Dic59—21no—
82#14273660—22no—
83#14273660—22no—
84#14273660—22no—
85#14273658—22no—
86C4⋊(C59⋊C8)—22no—
87C4⋊(C59⋊C8)—22no—
88#14273650—22no—
89#14273650—22no—
90#14273650—22no—
91#14273650—22no—
92C22⋊(C59⋊C8)—22no—
93C22⋊(C59⋊C8)—22no—
94C59⋊#95—21no—
95C59⋊#95—21no—
96C59⋊#95—21no—
97C59⋊#95—21no—
98C59⋊#95—21no—
99C22×Q8×C59—21no—
100C22×Q8×C59—21no—
101C23×C4×C59—21no—
102C23×C4×C59C2311yescharacteristic
103C4⋊Q8×C59—28no—
104C4⋊Q8×C59—22no—
105C4⋊Q8×C59—22no—
106C4⋊Q8×C59—22no—
107C4⋊Q8×C59D414yes—
108#125×C59—28no—
109#125×C59—22no—
110#125×C59—22no—
111#125×C59—22no—
112#125×C59D414yes—
113C22⋊Q8×C59—28no—
114C22⋊Q8×C59—28no—
115#117×C59—22no—
116#117×C59—22no—
117#117×C59—22no—
118#117×C59—22no—
119C2×C4⋊C4×C59—21no—
120C2×C4⋊C4×C59—21no—
121C2×C4⋊C4×C59—21no—
122C2×C4⋊C4×C59—21no—
123C2×C4⋊C4×C59—21no—
124C2×C4⋊C4×C59—21no—
125C2×C4⋊C4×C59—21no—
126C2×C4⋊C4×C59—22no—
127C2×C4⋊C4×C59—22no—
128C2×C4⋊C4×C59D411yescharacteristic
129C2×C4⋊C4×C59D411yescharacteristic
130C2×C4⋊C4×C59C2311yescharacteristic
131C2×C4⋊C4×C59C2311yescharacteristic
132C2×C4⋊C4×C59C2311yescharacteristic
133C2×C4⋊C4×C59C2311yescharacteristic
134C2×C22⋊C4×C59—21no—
135C2×C22⋊C4×C59D411yescharacteristic
136C2×C22⋊C4×C59D411yescharacteristic
137C2×C42×C59—21no—
138C2×C42×C59C2311yescharacteristic
139C2×C42×C59C2311yescharacteristic
140C24×C59C2×D411yescharacteristic
141C2×Q8×C59—24no—
142C2×Q8×C59—24no—
143C2×Q8×C59—81no—
144C2×Q8×C59—81no—
145C2×Q8×C59—81no—
146C2×Q8×C59—81no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—24no—
156C22×C4×C59—81no—
157C22×C4×C59—81no—
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2×Q812yes—
164C22×C4×C59#4112yes—
165C22×C4×C59C2411yescharacteristic
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—21no—
170C2×Dic118—21no—
171C2×Dic118—21no—
172C2×Dic118—21no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118C2×Q812yes—
176C4⋊C4×C59—24no—
177C4⋊C4×C59—24no—
178C4⋊C4×C59—24no—
179C4⋊C4×C59—24no—
180C4⋊C4×C59—24no—
181C4⋊C4×C59—24no—
182C4⋊C4×C59—24no—
183C4⋊C4×C59—22no—
184C4⋊C4×C59—22no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59C2×D412yes—
190C4⋊C4×C59C2×D412yes—
191C4⋊C4×C59C2×D412yes—
192C4⋊C4×C59C2×D412yes—
193C22⋊C4×C59—24no—
194C22⋊C4×C59—22no—
195C22⋊C4×C59—22no—
196C42×C59—24no—
197C42×C59—21no—
198C42×C59—21no—
199C42×C59C2×D412yes—
200C42×C59C2×D412yes—
201C22⋊Dic59—24no—
202C22⋊Dic59—81no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59C2×Q812yes—
209Dic59⋊C4—24no—
210Dic59⋊C4—42no—
211Dic59⋊C4—81no—
212C4×Dic59—42no—
213C4×Dic59—81no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59C22⋊Q812yes—
233C23×C59C22×D411yescharacteristic
234Q8×C59—84no—
235Q8×C59—84no—
236C2×C4×C59—21no—
237C2×C4×C59—21no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—21no—
247C2×C4×C59—22no—
248C2×C4×C59—21no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—84no—
265C2×C4×C59#12012yes—
266C2×C4×C59#12012yes—
267C2×C4×C59C22⋊Q812yes—
268C2×C4×C59C22×D411yescharacteristic
269C2×C4×C59C22×D411yescharacteristic
270C2×C4×C59C22×Q811yescharacteristic
271C2×C4×C59C2×#4111yescharacteristic
272C2×C4×C592−1+411yescharacteristic
273C2×C4×C592−1+411yescharacteristic
274C2×Dic59—22no—
275C2×Dic59—22no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286Dic118—22no—
287Dic118—22no—
288Dic118—41no—
289Dic118—41no—
290C59⋊C8—41no—
291C59⋊C8—41no—
292C59⋊C8—41no—
293C59⋊C8—41no—
294#24311—591nomaximal, Sylow
295C22×C59—22no—
296C22×C59—22no—
297C22×C59—22no—
298C22×C59—41no—
299C22×C59—41no—
300C22×C59—41no—
301C22×C59—41no—
302C22×C59C2×#12011yescharacteristic
303C22×C59C2×C22⋊Q811yescharacteristic
304C22×C59#53611yescharacteristic
305C22×C59#57611yescharacteristic
306C22×C59#57711yescharacteristic
307C22×C59#57811yescharacteristic
308C22×C59#57811yescharacteristic
309C4×C59—22no—
310C4×C59—22no—
311C4×C59—22no—
312C4×C59—41no—
313C4×C59—42no—
314C4×C59—41no—
315C4×C59—42no—
316C4×C59—42no—
317C4×C59—42no—
318C4×C59#54811yescharacteristic
319C4×C59#54811yescharacteristic
320C4×C59D4×Q811yescharacteristic
321C4×C59D4×Q811yescharacteristic
322Dic59—42no—
323Dic59—42no—
324Dic59—81no—
325Dic59—81no—
326C2×#544D5911yescharacteristic
327C2×#479—591no—
328C2×#477—591no—
329#2323—591no—
330#2059—591no—
331#2057—591no—
332#2026—591no—
333#2024—591no—
334#1989—591no—
335#1988—591no—
336#1873—591no—
337#1872—591no—
338#1854—591no—
339#1852—591no—
340#1798—591no—
341C2×C59—42no—
342C2×C59#240911yescharacteristic
343C2×C59#301111yescharacteristic
344C2×C59#301211yescharacteristic
345C2×C59#308211yescharacteristic
346C2×C59#308311yescharacteristic
347C2×C59#324211yescharacteristic
348C2×C59#324311yescharacteristic
349#544—24no—
350#544—24no—
351C2×C4⋊Q8—21no—
352C2×C4⋊Q8C2×D5911yescharacteristic
353C2×C4⋊Q8C2×D5911yescharacteristic
354C2×#125—21no—
355C2×#125C2×D5911yescharacteristic
356C2×#125C2×D5911yescharacteristic
357C2×C22⋊Q8—21no—
358C2×C22⋊Q8—21no—
359C2×C22⋊Q8—591no—
360C2×C4×Q8—591no—
361C2×#117C2×D5911yescharacteristic
362C2×#117C2×D5911yescharacteristic
363C22×C4⋊C4C2×D5911yescharacteristic
364#479—1184no—
365#477—1184no—
366C2×#107—591no—
367C2×#107—591no—
368C2×#107—591no—
369C2×#106—591no—
370C2×C4⋊C8—591no—
371C2×C4⋊C8—591no—
372C2×#103—591no—
373C2×#103—591no—
374C2×#103—591no—
375C2×#103—591no—
376C2×C22⋊C8—591no—
377C2×C22⋊C8—591no—
378#391—591no—
379#389—591no—
380#389—1181no—
381#388—1181no—
382#388—1181no—
383#387—1181no—
384#380—591no—
385C4×C4⋊C4—591no—
386#340—591no—
387#340—591no—
388#340—591no—
389#340—591no—
390#340—591no—
391#340—591no—
392#340—591no—
393#340—591no—
394#336—591no—
395#336—591no—
396C59#2431111yescharacteristic, complemented, Sylow
397C22×Q8—21no—
398C22×Q8—21no—
399C22×Q8—591no—
400C23×C4—21no—
401C23×C4C22×D5911yescharacteristic
402C22×C8—591no—
403C22×C8—591no—
404C22×C8—591no—
405C22×C8—591no—
406C4⋊Q8—28no—
407C4⋊Q8—22no—
408C4⋊Q8—22no—
409C4⋊Q8—22no—
410C4⋊Q8C22⋊D5914yes—
411#125—28no—
412#125—22no—
413#125—22no—
414#125—22no—
415#125C22⋊D5914yes—
416C22⋊Q8—28no—
417C22⋊Q8—28no—
418C22⋊Q8—594no—
419C22⋊Q8—1182no—
420C4×Q8—1182no—
421C4×Q8—1182no—
422#117—22no—
423#117—22no—
424#117—22no—
425#117—22no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—22no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4—591no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—1181no—
439C2×C4⋊C4—1181no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4C22⋊D5911yescharacteristic
442C2×C4⋊C4C22⋊D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C4⋊C4C22×D5911yescharacteristic
446C2×C4⋊C4C22×D5911yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—1181no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4C22⋊D5911yescharacteristic
451C2×C22⋊C4C22⋊D5911yescharacteristic
452C2×C42—21no—
453C2×C42—1181no—
454C2×C42—1181no—
455C2×C42C22×D5911yescharacteristic
456C2×C42C22×D5911yescharacteristic
457#107—1182no—
458#107—1182no—
459#107—1182no—
460#106—1182no—
461C4⋊C8—1182no—
462C4⋊C8—1182no—
463#103—1182no—
464#103—1182no—
465#103—1182no—
466#103—1182no—
467C22⋊C8—1182no—
468C22⋊C8—1182no—
469#95—1181no—
470#95—1181no—
471#95—1181no—
472#95—1181no—
473#95—1181no—
474C24C2×C22⋊D5911yescharacteristic
475C2×Q8—24no—
476C2×Q8—24no—
477C2×Q8—81no—
478C2×Q8—81no—
479C2×Q8—81no—
480C2×Q8—81no—
481C2×Q8—592no—
482C2×Q8—1181no—
483C2×Q8—1181no—
484C2×Q8—1181no—
485C2×Q8—1181no—
486C2×Q8—1181no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—24no—
496C22×C4—81no—
497C22×C4—81no—
498C22×C4—1181no—
499C22×C4—1181no—
500C22×C4—1181no—
501C22×C4—1181no—
502C22×C4Q8×D5912yes—
503C22×C4#1174568912yes—
504C22×C4C2×C22⋊D5911yescharacteristic
505C22×C4C2×C22⋊D5911yescharacteristic
506C22×C4C2×C22⋊D5911yescharacteristic
507C22×C4C2×C22⋊D5911yescharacteristic
508C22×C4C2×C22⋊D5911yescharacteristic
509C22×C4C23×D5911yescharacteristic
510C2×C8—1181no—
511C2×C8—1181no—
512C2×C8—1181no—
513C2×C8—1181no—
514C2×C8—1181no—
515C2×C8—1181no—
516C2×C8—1181no—
517C2×C8—1181no—
518C2×C8—1181no—
519C2×C8—1181no—
520C2×C8—1181no—
521C2×C8—1181no—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—24no—
525C4⋊C4—24no—
526C4⋊C4—24no—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—592no—
536C4⋊C4—1184no—
537C4⋊C4—1181no—
538C4⋊C4—1181no—
539C4⋊C4—1181no—
540C4⋊C4—1181no—
541C4⋊C4—1181no—
542C4⋊C4—4721no—
543C4⋊C4—2362no—
544C4⋊C4C2×C22⋊D5912yes—
545C4⋊C4C2×C22⋊D5912yes—
546C4⋊C4C2×C22⋊D5912yes—
547C4⋊C4C2×C22⋊D5912yes—
548C22⋊C4—24no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—1184no—
552C22⋊C4—4721no—
553C42—24no—
554C42—21no—
555C42—21no—
556C42—4721no—
557C42—2362no—
558C42C2×C22⋊D5912yes—
559C42C2×C22⋊D5912yes—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23#1427370312yes—
567C23C22×C22⋊D5911yescharacteristic
568Q8—84no—
569Q8—84no—
570Q8—1182no—
571Q8—1182no—
572Q8—2361no—
573Q8—2361no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—21no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—84no—
603C2×C4—1182no—
604C2×C4—1182no—
605C2×C4—2361no—
606C2×C4—2361no—
607C2×C4—2361no—
608C2×C4—2361no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4—2361no—
612C2×C4—2361no—
613C2×C4—2361no—
614C2×C4—2361no—
615C2×C4#1427369612yes—
616C2×C4#1427369612yes—
617C2×C4#1427370312yes—
618C2×C4C22×C22⋊D5911yescharacteristic
619C2×C4C22×C22⋊D5911yescharacteristic
620C2×C4C2×Q8×D5911yescharacteristic
621C2×C4C2×#1174568911yescharacteristic
622C2×C4#1427377511yescharacteristic
623C2×C4#1427377511yescharacteristic
624C8—2361no—
625C8—2361no—
626C8—2361no—
627C8—2361no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22C2×#1427369611yescharacteristic
636C22C2×#1427370311yescharacteristic
637C22#1683797611yescharacteristic
638C22#1683820511yescharacteristic
639C22#1683821311yescharacteristic
640C22#1683821711yescharacteristic
641C22#1683821711yescharacteristic
642C4—22no—
643C4—22no—
644C4—22no—
645C4—41no—
646C4—42no—
647C4—41no—
648C4—42no—
649C4—42no—
650C4—42no—
651C4—4721no—
652C4—4721no—
653C4—2362no—
654C4—2362no—
655C4#1683806311yescharacteristic
656C4#1683806311yescharacteristic
657C4Q8×C22⋊D5911yescharacteristic
658C4Q8×C22⋊D5911yescharacteristic
659C2—42no—
660C2#2142745511yescharacteristic
661C2#2143339111yescharacteristic
662C2#2143340011yescharacteristic
663C2#2143393211yescharacteristic
664C2#2143394311yescharacteristic
665C2#2143536411yescharacteristic
666C2#2143537911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC2×C59×#544C2
socleC23×C59C22×D4
prime radicalC24×C59C2×D4
hypercenterC2×#544D59
hypocenterC59#24311
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
1. C2×#16837706C2semidirect
2. C2×#16837694C2semidirect
4. #21425431C2semidirect
5. #21425421C2semidirect
6. #21425244C2semidirect
7. #21425234C2semidirect
8. #21425054C2semidirect
9. #21425049C2semidirect
69. #14273706Q8semidirect
396. C59#24311semidirect

Maximal subgroups

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

subgroupindex
C2×#168377062
C2×#168376942
#214267782
#214254312
#214254212
#214252442
#214252342
#214250542
#214250492
#214244082
#214244032
#214242952
#214242842
#214240802
C2×C59×#5442
#2431159