Finite Group Databasebeta

← #34324473

Subgroups — #34324473

Order 20224.

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×#19098867C211yesmaximal, characteristic, complemented
2C2×#19098855C211yesmaximal, characteristic, complemented
3#23766082C211yesmaximal, characteristic
4#23764735C211yesmaximal, characteristic, complemented
5#23764725C211yesmaximal, characteristic, complemented
6#23764548C211yesmaximal, characteristic, complemented
7#23764538C211yesmaximal, characteristic, complemented
8#23764358C211yesmaximal, characteristic, complemented
9#23764353C211yesmaximal, characteristic, complemented
10#23763712C211yesmaximal, characteristic
11#23763707C211yesmaximal, characteristic
12#23763599C211yesmaximal, characteristic
13#23763588C211yesmaximal, characteristic
14#23763384C211yesmaximal, characteristic
15C2×#544×C79C211yesmaximal, characteristic
16C2×#14579140C2211yescharacteristic
17C2×C4×Dic158C2211yescharacteristic
18#19098867—24no—
19#19098855—24no—
20C2×#14579094C2211yescharacteristic
21C2×#14579094C2211yescharacteristic
22C2×#14579094C2211yescharacteristic
23C2×#14579092C2211yescharacteristic
24C2×C4⋊(C79⋊C8)C2211yescharacteristic
25C2×C4⋊(C79⋊C8)C2211yescharacteristic
26C2×#14579084C2211yescharacteristic
27C2×#14579084C2211yescharacteristic
28C2×#14579084C2211yescharacteristic
29C2×#14579084C2211yescharacteristic
30C2×C22⋊(C79⋊C8)C2211yescharacteristic
31C2×C22⋊(C79⋊C8)C2211yescharacteristic
32#19098469C2211yescharacteristic
33#19098461C2211yescharacteristic
34#19098458—21no—
35#19098457—21no—
36#19098451—21no—
37#19098444—21no—
38#19098423C2211yescharacteristic
39C4×C4⋊Dic79C2211yescharacteristic
40#19098325C2211yescharacteristic
41#19098325C2211yescharacteristic
42#19098325C2211yescharacteristic
43#19098325C2211yescharacteristic
44#19098325C2211yescharacteristic
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098318C2211yescharacteristic
49#19098318C2211yescharacteristic
50#544×C79—24no—
51#544×C79—24no—
52C2×C4⋊Q8×C79—21no—
53C2×C4⋊Q8×C79C2211yescharacteristic
54C2×C4⋊Q8×C79C2211yescharacteristic
55C2×#125×C79—21no—
56C2×#125×C79C2211yescharacteristic
57C2×#125×C79C2211yescharacteristic
58C2×C22⋊Q8×C79—21no—
59C2×C22⋊Q8×C79—21no—
60C2×#117×C79C2211yescharacteristic
61C2×#117×C79C2211yescharacteristic
62C22×C4⋊C4×C79C2211yescharacteristic
63C22×Dic158C2311yescharacteristic
64C22×C79⋊C8C2311yescharacteristic
65C22×C79⋊C8C2311yescharacteristic
66C22×C79⋊C8C2311yescharacteristic
67C22×C79⋊C8C2311yescharacteristic
68#14579140—22no—
69#14579140Q814yescomplemented
70C4×Dic158—22no—
71C4×Dic158—22no—
72C2×C4⋊Dic79C2311yescharacteristic
73C2×C4⋊Dic79C2311yescharacteristic
74C2×C4⋊Dic79C2311yescharacteristic
75C2×Dic79⋊C4—21no—
76C2×Dic79⋊C4—21no—
77C2×Dic79⋊C4—21no—
78C2×C22⋊Dic79—21no—
79C2×C22⋊Dic79—21no—
80C2×C4×Dic79—21no—
81C2×C4×Dic79—21no—
82#14579094—22no—
83#14579094—22no—
84#14579094—22no—
85#14579092—22no—
86C4⋊(C79⋊C8)—22no—
87C4⋊(C79⋊C8)—22no—
88#14579084—22no—
89#14579084—22no—
90#14579084—22no—
91#14579084—22no—
92C22⋊(C79⋊C8)—22no—
93C22⋊(C79⋊C8)—22no—
94C79⋊#95—21no—
95C79⋊#95—21no—
96C79⋊#95—21no—
97C79⋊#95—21no—
98C79⋊#95—21no—
99C22×Q8×C79—21no—
100C22×Q8×C79—21no—
101C23×C4×C79—21no—
102C23×C4×C79C2311yescharacteristic
103C4⋊Q8×C79—28no—
104C4⋊Q8×C79—22no—
105C4⋊Q8×C79—22no—
106C4⋊Q8×C79—22no—
107C4⋊Q8×C79D414yes—
108#125×C79—28no—
109#125×C79—22no—
110#125×C79—22no—
111#125×C79—22no—
112#125×C79D414yes—
113C22⋊Q8×C79—28no—
114C22⋊Q8×C79—28no—
115#117×C79—22no—
116#117×C79—22no—
117#117×C79—22no—
118#117×C79—22no—
119C2×C4⋊C4×C79—21no—
120C2×C4⋊C4×C79—21no—
121C2×C4⋊C4×C79—21no—
122C2×C4⋊C4×C79—21no—
123C2×C4⋊C4×C79—21no—
124C2×C4⋊C4×C79—21no—
125C2×C4⋊C4×C79—21no—
126C2×C4⋊C4×C79—22no—
127C2×C4⋊C4×C79—22no—
128C2×C4⋊C4×C79D411yescharacteristic
129C2×C4⋊C4×C79D411yescharacteristic
130C2×C4⋊C4×C79C2311yescharacteristic
131C2×C4⋊C4×C79C2311yescharacteristic
132C2×C4⋊C4×C79C2311yescharacteristic
133C2×C4⋊C4×C79C2311yescharacteristic
134C2×C22⋊C4×C79—21no—
135C2×C22⋊C4×C79D411yescharacteristic
136C2×C22⋊C4×C79D411yescharacteristic
137C2×C42×C79—21no—
138C2×C42×C79C2311yescharacteristic
139C2×C42×C79C2311yescharacteristic
140C2×Dic158—21no—
141C2×Dic158—21no—
142C2×Dic158—21no—
143C2×Dic158—21no—
144C2×Dic158—21no—
145C2×Dic158C2×Q812yes—
146C22×Dic79—21no—
147C22×Dic79—21no—
148C22×Dic79—21no—
149C22×Dic79—21no—
150C2×C79⋊C8—21no—
151C2×C79⋊C8—21no—
152C2×C79⋊C8—21no—
153C2×C79⋊C8—21no—
154C2×C79⋊C8—21no—
155C2×C79⋊C8—21no—
156C2×C79⋊C8—21no—
157C2×C79⋊C8—21no—
158C2×C79⋊C8—21no—
159C2×C79⋊C8—21no—
160C2×C79⋊C8—21no—
161C2×C79⋊C8—21no—
162C4⋊Dic79—21no—
163C4⋊Dic79—21no—
164C4⋊Dic79—21no—
165C4⋊Dic79—21no—
166C4⋊Dic79—21no—
167C4⋊Dic79C2×Q812yes—
168Dic79⋊C4—24no—
169Dic79⋊C4—42no—
170Dic79⋊C4—81no—
171C22⋊Dic79—24no—
172C22⋊Dic79—81no—
173C4×Dic79—42no—
174C4×Dic79—81no—
175C24×C79C2×D411yescharacteristic
176C2×Q8×C79—24no—
177C2×Q8×C79—24no—
178C2×Q8×C79—81no—
179C2×Q8×C79—81no—
180C2×Q8×C79—81no—
181C2×Q8×C79—81no—
182C22×C4×C79—21no—
183C22×C4×C79—21no—
184C22×C4×C79—21no—
185C22×C4×C79—21no—
186C22×C4×C79—21no—
187C22×C4×C79—21no—
188C22×C4×C79—21no—
189C22×C4×C79—21no—
190C22×C4×C79—24no—
191C22×C4×C79—81no—
192C22×C4×C79—81no—
193C22×C4×C79C2×D411yescharacteristic
194C22×C4×C79C2×D411yescharacteristic
195C22×C4×C79C2×D411yescharacteristic
196C22×C4×C79C2×D411yescharacteristic
197C22×C4×C79C2×D411yescharacteristic
198C22×C4×C79C2×Q812yes—
199C22×C4×C79#4112yes—
200C22×C4×C79C2411yescharacteristic
201C4⋊C4×C79—24no—
202C4⋊C4×C79—24no—
203C4⋊C4×C79—24no—
204C4⋊C4×C79—24no—
205C4⋊C4×C79—24no—
206C4⋊C4×C79—24no—
207C4⋊C4×C79—24no—
208C4⋊C4×C79—22no—
209C4⋊C4×C79—22no—
210C4⋊C4×C79—21no—
211C4⋊C4×C79—21no—
212C4⋊C4×C79—21no—
213C4⋊C4×C79—21no—
214C4⋊C4×C79C2×D412yes—
215C4⋊C4×C79C2×D412yes—
216C4⋊C4×C79C2×D412yes—
217C4⋊C4×C79C2×D412yes—
218C22⋊C4×C79—24no—
219C22⋊C4×C79—22no—
220C22⋊C4×C79—22no—
221C42×C79—24no—
222C42×C79—21no—
223C42×C79—21no—
224C42×C79C2×D412yes—
225C42×C79C2×D412yes—
226C23×C79—21no—
227C23×C79—21no—
228C23×C79—21no—
229C23×C79—21no—
230C23×C79—21no—
231C23×C79—21no—
232C23×C79C22⋊Q812yes—
233C23×C79C22×D411yescharacteristic
234Q8×C79—84no—
235Q8×C79—84no—
236C2×C4×C79—21no—
237C2×C4×C79—21no—
238C2×C4×C79—21no—
239C2×C4×C79—21no—
240C2×C4×C79—21no—
241C2×C4×C79—21no—
242C2×C4×C79—22no—
243C2×C4×C79—22no—
244C2×C4×C79—22no—
245C2×C4×C79—22no—
246C2×C4×C79—21no—
247C2×C4×C79—22no—
248C2×C4×C79—21no—
249C2×C4×C79—22no—
250C2×C4×C79—22no—
251C2×C4×C79—22no—
252C2×C4×C79—21no—
253C2×C4×C79—21no—
254C2×C4×C79—21no—
255C2×C4×C79—21no—
256C2×C4×C79—41no—
257C2×C4×C79—41no—
258C2×C4×C79—41no—
259C2×C4×C79—41no—
260C2×C4×C79—41no—
261C2×C4×C79—41no—
262C2×C4×C79—41no—
263C2×C4×C79—41no—
264C2×C4×C79—84no—
265C2×C4×C79#12012yes—
266C2×C4×C79#12012yes—
267C2×C4×C79C22⋊Q812yes—
268C2×C4×C79C22×D411yescharacteristic
269C2×C4×C79C22×D411yescharacteristic
270C2×C4×C79C22×Q811yescharacteristic
271C2×C4×C79C2×#4111yescharacteristic
272C2×C4×C792−1+411yescharacteristic
273C2×C4×C792−1+411yescharacteristic
274C2×Dic79—22no—
275C2×Dic79—22no—
276C2×Dic79—41no—
277C2×Dic79—41no—
278C2×Dic79—41no—
279C2×Dic79—41no—
280C2×Dic79—41no—
281C2×Dic79—41no—
282C2×Dic79—41no—
283C2×Dic79—41no—
284C2×Dic79—41no—
285C2×Dic79—41no—
286Dic158—22no—
287Dic158—22no—
288Dic158—41no—
289Dic158—41no—
290C79⋊C8—41no—
291C79⋊C8—41no—
292C79⋊C8—41no—
293C79⋊C8—41no—
294C22×C79—22no—
295C22×C79—22no—
296C22×C79—22no—
297C22×C79—41no—
298C22×C79—41no—
299C22×C79—41no—
300C22×C79—41no—
301C22×C79C2×#12011yescharacteristic
302C22×C79C2×C22⋊Q811yescharacteristic
303C22×C79#53611yescharacteristic
304C22×C79#57611yescharacteristic
305C22×C79#57711yescharacteristic
306C22×C79#57811yescharacteristic
307C22×C79#57811yescharacteristic
308C4×C79—22no—
309C4×C79—22no—
310C4×C79—22no—
311C4×C79—41no—
312C4×C79—42no—
313C4×C79—41no—
314C4×C79—42no—
315C4×C79—42no—
316C4×C79—42no—
317C4×C79#54811yescharacteristic
318C4×C79#54811yescharacteristic
319C4×C79D4×Q811yescharacteristic
320C4×C79D4×Q811yescharacteristic
321Dic79—42no—
322Dic79—42no—
323Dic79—81no—
324Dic79—81no—
325#24311—791nomaximal, Sylow
326C2×C79—42no—
327C2×C79#240911yescharacteristic
328C2×C79#301111yescharacteristic
329C2×C79#301211yescharacteristic
330C2×C79#308211yescharacteristic
331C2×C79#308311yescharacteristic
332C2×C79#324211yescharacteristic
333C2×C79#324311yescharacteristic
334C2×#544D7911yescharacteristic
335C2×#479—791no—
336C2×#477—791no—
337#2323—791no—
338#2059—791no—
339#2057—791no—
340#2026—791no—
341#2024—791no—
342#1989—791no—
343#1988—791no—
344#1873—791no—
345#1872—791no—
346#1854—791no—
347#1852—791no—
348#1798—791no—
349C79#2431111yescharacteristic, complemented, Sylow
350#544—24no—
351#544—24no—
352C2×C4⋊Q8—21no—
353C2×C4⋊Q8C2×D7911yescharacteristic
354C2×C4⋊Q8C2×D7911yescharacteristic
355C2×#125—21no—
356C2×#125C2×D7911yescharacteristic
357C2×#125C2×D7911yescharacteristic
358C2×C22⋊Q8—21no—
359C2×C22⋊Q8—21no—
360C2×C22⋊Q8—791no—
361C2×C4×Q8—791no—
362C2×#117C2×D7911yescharacteristic
363C2×#117C2×D7911yescharacteristic
364C22×C4⋊C4C2×D7911yescharacteristic
365#479—1584no—
366#477—1584no—
367C2×#107—791no—
368C2×#107—791no—
369C2×#107—791no—
370C2×#106—791no—
371C2×C4⋊C8—791no—
372C2×C4⋊C8—791no—
373C2×#103—791no—
374C2×#103—791no—
375C2×#103—791no—
376C2×#103—791no—
377C2×C22⋊C8—791no—
378C2×C22⋊C8—791no—
379#391—791no—
380#389—791no—
381#389—1581no—
382#388—1581no—
383#388—1581no—
384#387—1581no—
385#380—791no—
386C4×C4⋊C4—791no—
387#340—791no—
388#340—791no—
389#340—791no—
390#340—791no—
391#340—791no—
392#340—791no—
393#340—791no—
394#340—791no—
395#336—791no—
396#336—791no—
397C22×Q8—21no—
398C22×Q8—21no—
399C22×Q8—791no—
400C23×C4—21no—
401C23×C4C22×D7911yescharacteristic
402C22×C8—791no—
403C22×C8—791no—
404C22×C8—791no—
405C22×C8—791no—
406C4⋊Q8—28no—
407C4⋊Q8—22no—
408C4⋊Q8—22no—
409C4⋊Q8—22no—
410C4⋊Q8C22⋊D7914yes—
411#125—28no—
412#125—22no—
413#125—22no—
414#125—22no—
415#125C22⋊D7914yes—
416C22⋊Q8—28no—
417C22⋊Q8—28no—
418C22⋊Q8—794no—
419C22⋊Q8—1582no—
420C4×Q8—1582no—
421C4×Q8—1582no—
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—791no—
436C2×C4⋊C4—791no—
437C2×C4⋊C4—791no—
438C2×C4⋊C4—1581no—
439C2×C4⋊C4—1581no—
440C2×C4⋊C4—1581no—
441C2×C4⋊C4C22⋊D7911yescharacteristic
442C2×C4⋊C4C22⋊D7911yescharacteristic
443C2×C4⋊C4C22×D7911yescharacteristic
444C2×C4⋊C4C22×D7911yescharacteristic
445C2×C4⋊C4C22×D7911yescharacteristic
446C2×C4⋊C4C22×D7911yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—1581no—
449C2×C22⋊C4—1581no—
450C2×C22⋊C4C22⋊D7911yescharacteristic
451C2×C22⋊C4C22⋊D7911yescharacteristic
452C2×C42—21no—
453C2×C42—1581no—
454C2×C42—1581no—
455C2×C42C22×D7911yescharacteristic
456C2×C42C22×D7911yescharacteristic
457#107—1582no—
458#107—1582no—
459#107—1582no—
460#106—1582no—
461C4⋊C8—1582no—
462C4⋊C8—1582no—
463#103—1582no—
464#103—1582no—
465#103—1582no—
466#103—1582no—
467C22⋊C8—1582no—
468C22⋊C8—1582no—
469#95—1581no—
470#95—1581no—
471#95—1581no—
472#95—1581no—
473#95—1581no—
474C24C2×C22⋊D7911yescharacteristic
475C2×Q8—24no—
476C2×Q8—24no—
477C2×Q8—81no—
478C2×Q8—81no—
479C2×Q8—81no—
480C2×Q8—81no—
481C2×Q8—792no—
482C2×Q8—1581no—
483C2×Q8—1581no—
484C2×Q8—1581no—
485C2×Q8—1581no—
486C2×Q8—1581no—
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—1581no—
499C22×C4—1581no—
500C22×C4—1581no—
501C22×C4—1581no—
502C22×C4C2×C22⋊D7911yescharacteristic
503C22×C4C2×C22⋊D7911yescharacteristic
504C22×C4C2×C22⋊D7911yescharacteristic
505C22×C4C2×C22⋊D7911yescharacteristic
506C22×C4C2×C22⋊D7911yescharacteristic
507C22×C4Q8×D7912yes—
508C22×C4#1192962512yes—
509C22×C4C23×D7911yescharacteristic
510C2×C8—1581no—
511C2×C8—1581no—
512C2×C8—1581no—
513C2×C8—1581no—
514C2×C8—1581no—
515C2×C8—1581no—
516C2×C8—1581no—
517C2×C8—1581no—
518C2×C8—1581no—
519C2×C8—1581no—
520C2×C8—1581no—
521C2×C8—1581no—
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—3162no—
536C4⋊C4—792no—
537C4⋊C4—6321no—
538C4⋊C4—1581no—
539C4⋊C4—1581no—
540C4⋊C4—1581no—
541C4⋊C4—1581no—
542C4⋊C4—1581no—
543C4⋊C4—1584no—
544C4⋊C4C2×C22⋊D7912yes—
545C4⋊C4C2×C22⋊D7912yes—
546C4⋊C4C2×C22⋊D7912yes—
547C4⋊C4C2×C22⋊D7912yes—
548C22⋊C4—24no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—6321no—
552C22⋊C4—1584no—
553C42—24no—
554C42—21no—
555C42—21no—
556C42—3162no—
557C42—6321no—
558C42C2×C22⋊D7912yes—
559C42C2×C22⋊D7912yes—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23#1457913712yes—
567C23C22×C22⋊D7911yescharacteristic
568Q8—84no—
569Q8—84no—
570Q8—3161no—
571Q8—3161no—
572Q8—1582no—
573Q8—1582no—
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—3161no—
604C2×C4—3161no—
605C2×C4—3161no—
606C2×C4—3161no—
607C2×C4—3161no—
608C2×C4—3161no—
609C2×C4—3161no—
610C2×C4—3161no—
611C2×C4—3161no—
612C2×C4—3161no—
613C2×C4—1582no—
614C2×C4—1582no—
615C2×C4#1457913012yes—
616C2×C4#1457913012yes—
617C2×C4#1457913712yes—
618C2×C4C22×C22⋊D7911yescharacteristic
619C2×C4C22×C22⋊D7911yescharacteristic
620C2×C4C2×Q8×D7911yescharacteristic
621C2×C4C2×#1192962511yescharacteristic
622C2×C4#1457920911yescharacteristic
623C2×C4#1457920911yescharacteristic
624C8—3161no—
625C8—3161no—
626C8—3161no—
627C8—3161no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22C2×#1457913011yescharacteristic
636C22C2×#1457913711yescharacteristic
637C22#1909913711yescharacteristic
638C22#1909936611yescharacteristic
639C22#1909937411yescharacteristic
640C22#1909937811yescharacteristic
641C22#1909937811yescharacteristic
642C4—22no—
643C4—22no—
644C4—22no—
645C4—41no—
646C4—42no—
647C4—41no—
648C4—42no—
649C4—42no—
650C4—42no—
651C4—3162no—
652C4—3162no—
653C4—6321no—
654C4—6321no—
655C4#1909922411yescharacteristic
656C4#1909922411yescharacteristic
657C4Q8×C22⋊D7911yescharacteristic
658C4Q8×C22⋊D7911yescharacteristic
659C2—42no—
660C2#2376675911yescharacteristic
661C2#2377269511yescharacteristic
662C2#2377270411yescharacteristic
663C2#2377323611yescharacteristic
664C2#2377324711yescharacteristic
665C2#2377466811yescharacteristic
666C2#2377468311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutator, cosocleC22×C4×C79C24
FrattiniC22×C4C23×D79
FittingC2×#544×C79C2
socleC23×C79C22×D4
prime radicalC24×C79C2×D4
hypercenterC2×#544D79
hypocenterC79#24311
LCSG ▷ C22×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
1. C2×#19098867C2semidirect
2. C2×#19098855C2semidirect
4. #23764735C2semidirect
5. #23764725C2semidirect
6. #23764548C2semidirect
7. #23764538C2semidirect
8. #23764358C2semidirect
9. #23764353C2semidirect
69. #14579140Q8semidirect
349. C79#24311semidirect

Maximal subgroups

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

subgroupindex
C2×#190988672
C2×#190988552
#237660822
#237647352
#237647252
#237645482
#237645382
#237643582
#237643532
#237637122
#237637072
#237635992
#237635882
#237633842
C2×#544×C792
#2431179