Finite Group Databasebeta

← #34304906

Subgroups — #34304906

Order 20224.

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×Dic158C211yesmaximal, characteristic
2C2×#19098691C211yesmaximal, characteristic, complemented
3#23766358C211yesmaximal, characteristic, complemented
4#23764373C211yesmaximal, characteristic, complemented
5#23764371C211yesmaximal, characteristic, complemented
6#23764359C211yesmaximal, characteristic, complemented
7#23764350C211yesmaximal, characteristic, complemented
8#23764348C211yesmaximal, characteristic, complemented
9#23764346C211yesmaximal, characteristic, complemented
10#23763410C211yesmaximal, characteristic
11#23763408C211yesmaximal, characteristic
12#23763398C211yesmaximal, characteristic
13#23763227C211yesmaximal, characteristic
14#102×Dic79C211yesmaximal, characteristic
15C79×#1762C211yesmaximal, characteristic
16C23×Dic158—21no—
17D4×Dic158—24no—
18D4×Dic158C418yescomplemented
19C2×#14579161C2211yescharacteristic
20C2×#14579160C2211yescharacteristic
21C2×#14579160C2211yescharacteristic
22C2×#14579140—21no—
23C2×#14579138—21no—
24C2×#14579138—21no—
25C2×C4×Dic158C2211yescharacteristic
26C2×D4×Dic79C2211yescharacteristic
27C2×D4×Dic79C2211yescharacteristic
28#19098691—24no—
29C2×C4⋊(C79⋊C8)C2211yescharacteristic
30C2×Dic79⋊C8C2211yescharacteristic
31C2×Dic79⋊C8C2211yescharacteristic
32C2×#14579082C2211yescharacteristic
33C2×#14579082C2211yescharacteristic
34C2×#14579071C2211yescharacteristic
35C2×C8×Dic79C2211yescharacteristic
36#19098467—21no—
37#19098447—21no—
38#19098446—21no—
39#19098432C2211yescharacteristic
40#19098429C2211yescharacteristic
41#19098428C2211yescharacteristic
42C4⋊C4×Dic79C2211yescharacteristic
43C4⋊C4×Dic79C2211yescharacteristic
44C4×Dic79⋊C4—21no—
45#19098326C2211yescharacteristic
46#19098326C2211yescharacteristic
47#19098326C2211yescharacteristic
48#19098326C2211yescharacteristic
49#19098325C2211yescharacteristic
50#19098325C2211yescharacteristic
51#19098325C2211yescharacteristic
52#19098325C2211yescharacteristic
53#19098325C2211yescharacteristic
54#19098325C2211yescharacteristic
55C2×C4×D4×C79C2211yescharacteristic
56C2×#102×C79C2211yescharacteristic
57C2×#102×C79C2211yescharacteristic
58C2×#97×C79C2211yescharacteristic
59C4×C4⋊C4×C79C2211yescharacteristic
60#340×C79C2211yescharacteristic
61#340×C79C2211yescharacteristic
62C22×Dic158—21no—
63C22×Dic158—28no—
64C22×Dic158—21no—
65C22×Dic158—21no—
66C22×Dic158—44no—
67C22×Dic158—44no—
68C22×Dic158D411yescharacteristic
69C23×Dic79—21no—
70C23×Dic79—21no—
71C22×C79⋊C8C2311yescharacteristic
72C22×C79⋊C8C2311yescharacteristic
73#14579161—22no—
74#14579161C2×C414yes—
75#14579160—22no—
76#14579160—22no—
77#14579160C2×C414yes—
78#14579160C2×C414yes—
79#14579140—28no—
80#14579138—28no—
81#14579138—28no—
82C4×Dic158C2×C414yes—
83C4×Dic158D414yes—
84D4×Dic79—22no—
85D4×Dic79—22no—
86D4×Dic79C2×C414yes—
87D4×Dic79C2×C414yes—
88C2×C4⋊Dic79—21no—
89C2×C4⋊Dic79D411yescharacteristic
90C2×C4⋊Dic79C2311yescharacteristic
91C2×C4⋊Dic79C2311yescharacteristic
92C2×C4⋊Dic79C2311yescharacteristic
93C2×C4⋊Dic79C2311yescharacteristic
94C2×Dic79⋊C4—21no—
95C2×Dic79⋊C4—21no—
96C2×Dic79⋊C4—21no—
97C2×Dic79⋊C4—21no—
98C2×Dic79⋊C4D411yescharacteristic
99C2×Dic79⋊C4D411yescharacteristic
100C2×C22⋊Dic79—21no—
101C2×C22⋊Dic79—21no—
102C2×C4×Dic79—21no—
103C2×C4×Dic79—21no—
104C2×C4×Dic79C2311yescharacteristic
105C2×C4×Dic79C2311yescharacteristic
106C4⋊(C79⋊C8)—22no—
107Dic79⋊C8—22no—
108Dic79⋊C8—22no—
109#14579082—22no—
110#14579082—22no—
111#14579071—22no—
112C8×Dic79—22no—
113C79⋊#95—21no—
114C79⋊#95—21no—
115C79⋊#95—21no—
116C79⋊#95—21no—
117C79⋊#95—21no—
118C79⋊#95—21no—
119C22×D4×C79C2311yescharacteristic
120C23×C4×C79—21no—
121C22×C8×C79C2311yescharacteristic
122C22×C8×C79C2311yescharacteristic
123C4×D4×C79—22no—
124C4×D4×C79C2×C414yes—
125C2×C4⋊C4×C79C2311yescharacteristic
126C2×C4⋊C4×C79C2311yescharacteristic
127C2×C4⋊C4×C79C2311yescharacteristic
128C2×C22⋊C4×C79—21no—
129C2×C42×C79—21no—
130C2×C42×C79C2311yescharacteristic
131#102×C79—22no—
132#102×C79Q814yescomplemented
133#97×C79—22no—
134#95×C79—21no—
135C2×Dic158—22no—
136C2×Dic158—22no—
137C2×Dic158—24no—
138C2×Dic158—24no—
139C2×Dic158—24no—
140C2×Dic158—42no—
141C2×Dic158—42no—
142C2×Dic158—432no—
143C2×Dic158—42no—
144C2×Dic158—42no—
145C2×Dic158—42no—
146C2×Dic158—42no—
147C2×Dic158C22⋊C414yes—
148C22×Dic79—24no—
149C22×Dic79—24no—
150C22×Dic79—21no—
151C22×Dic79—21no—
152C22×Dic79—21no—
153C22×Dic79—21no—
154C22×Dic79—42no—
155C22×Dic79—42no—
156C22×Dic79—42no—
157C22×Dic79—42no—
158C22×Dic79C2×D411yescharacteristic
159C22×Dic79C2×D411yescharacteristic
160C22×Dic79C2×D411yescharacteristic
161C22×Dic79C2×D411yescharacteristic
162C2×C79⋊C8—21no—
163C2×C79⋊C8—21no—
164C2×C79⋊C8—21no—
165C2×C79⋊C8—21no—
166C2×C79⋊C8—21no—
167C2×C79⋊C8—21no—
168C4⋊Dic79—24no—
169C4⋊Dic79—21no—
170C4⋊Dic79—21no—
171C4⋊Dic79—21no—
172C4⋊Dic79—21no—
173C4⋊Dic79—21no—
174C4⋊Dic79—21no—
175C4⋊Dic79C22⋊C414yes—
176C4⋊Dic79C22×C412yes—
177C4⋊Dic79C22×C412yes—
178Dic79⋊C4—24no—
179Dic79⋊C4—24no—
180Dic79⋊C4—42no—
181Dic79⋊C4—81no—
182Dic79⋊C4C22⋊C414yes—
183Dic79⋊C4C22⋊C414yes—
184C22⋊Dic79—24no—
185C22⋊Dic79—24no—
186C4×Dic79—42no—
187C4×Dic79—81no—
188C4×Dic79C22×C412yes—
189C4×Dic79C22×C412yes—
190C4×Dic79C2×D412yes—
191C4×Dic79C2×D412yes—
192C24×C79—21no—
193C2×D4×C79—21no—
194C2×D4×C79—21no—
195C2×D4×C79—21no—
196C2×D4×C79C22×C412yes—
197C2×D4×C79C2×Q812yes—
198C2×D4×C79#4112yes—
199C22×C4×C79—21no—
200C22×C4×C79—21no—
201C22×C4×C79—24no—
202C22×C4×C79—21no—
203C22×C4×C79—42no—
204C22×C4×C79—42no—
205C22×C4×C79C2×D411yescharacteristic
206C22×C4×C79C2×D411yescharacteristic
207C22×C4×C79C2411yescharacteristic
208C2×C8×C79—21no—
209C2×C8×C79—21no—
210C2×C8×C79—21no—
211C2×C8×C79—21no—
212C2×C8×C79—21no—
213C2×C8×C79C2×Q812yescomplemented
214C4⋊C4×C79—21no—
215C4⋊C4×C79—21no—
216C4⋊C4×C79—21no—
217C4⋊C4×C79—21no—
218C4⋊C4×C79C22×C412yes—
219C4⋊C4×C79C2×Q812yescomplemented
220C22⋊C4×C79—24no—
221C42×C79—81no—
222C42×C79C22×C412yes—
223C42×C79C2×D412yes—
224C23×C79—22no—
225C23×C79—22no—
226C23×C79—22no—
227C23×C79—41no—
228C23×C79—41no—
229C23×C79—41no—
230C23×C79—41no—
231C23×C79C22×D411yescharacteristic
232D4×C79—22no—
233D4×C79—22no—
234D4×C79—22no—
235D4×C79C4×Q814yes—
236C2×C4×C79—21no—
237C2×C4×C79—21no—
238C2×C4×C79—21no—
239C2×C4×C79—21no—
240C2×C4×C79—22no—
241C2×C4×C79—22no—
242C2×C4×C79—48no—
243C2×C4×C79—41no—
244C2×C4×C79—41no—
245C2×C4×C79—41no—
246C2×C4×C79—41no—
247C2×C4×C79—41no—
248C2×C4×C79—41no—
249C2×C4×C79—41no—
250C2×C4×C79C2×C22⋊C412yes—
251C2×C4×C79C2×C22⋊C412yes—
252C2×C4×C79C23×C411yescharacteristic
253C2×C4×C79C22×D411yescharacteristic
254C2×C4×C79C22×Q811yescharacteristic
255C2×C4×C79C2×#4111yescharacteristic
256C2×C4×C792−1+411yescharacteristic
257C2×C4×C792−1+411yescharacteristic
258C2×Dic79—21no—
259C2×Dic79—21no—
260C2×Dic79—21no—
261C2×Dic79—21no—
262C2×Dic79—21no—
263C2×Dic79—21no—
264C2×Dic79—22no—
265C2×Dic79—22no—
266C2×Dic79—48no—
267C2×Dic79—41no—
268C2×Dic79—41no—
269C2×Dic79—41no—
270C2×Dic79—41no—
271C2×Dic79—48no—
272C2×Dic79—41no—
273C2×Dic79—41no—
274C2×Dic79—41no—
275C2×Dic79—41no—
276C2×Dic79—41no—
277C2×Dic79—41no—
278C2×Dic79C2×C22⋊C412yes—
279C2×Dic79C2×C22⋊C412yes—
280C2×Dic79C2×C22⋊C412yes—
281C2×Dic79C2×C22⋊C412yes—
282C2×Dic79AGL(1,ℤ/8)12yes—
283C2×Dic79AGL(1,ℤ/8)12yes—
284Dic158—28no—
285Dic158—48no—
286Dic158—48no—
287Dic158—48no—
288C8×C79—22no—
289C8×C79—41no—
290C79⋊C8—41no—
291C79⋊C8—41no—
292C22×C79—24no—
293C22×C79—42no—
294C22×C79—42no—
295C22×C79—42no—
296C22×C79—42no—
297C22×C79—42no—
298C22×C79—42no—
299C22×C79C22×C22⋊C411yescharacteristic
300C22×C79#54811yescharacteristic
301C22×C79D4×Q811yescharacteristic
302C22×C79C2×AGL(1,ℤ/8)11yescharacteristic
303C22×C79C2×AGL(1,ℤ/8)11yescharacteristic
304C22×C79#57711yescharacteristic
305C22×C79#57811yescharacteristic
306C4×C79—22no—
307C4×C79—22no—
308C4×C79—42no—
309C4×C79—42no—
310C4×C79—81no—
311C4×C79C2×C4×Q811yescharacteristic
312C4×C79#51911yescharacteristic
313C4×C79#54811yescharacteristic
314C4×C79D4×Q811yescharacteristic
315Dic79—22no—
316Dic79—22no—
317Dic79—22no—
318Dic79—42no—
319Dic79—42no—
320Dic79—81no—
321Dic79—81no—
322Dic79#41814yes—
323#22523—791nomaximal, Sylow
324C2×C79—44no—
325C2×C79Q8×C22⋊C411yescharacteristic
326C2×C79C2×#41811yescharacteristic
327C2×C79#289811yescharacteristic
328C2×C79#336711yescharacteristic
329C2×C79#337311yescharacteristic
330C2×C79#338411yescharacteristic
331C2×C79#338611yescharacteristic
332C2×D4×Q8—791no—
333C2×#446—791no—
334#2355—791no—
335#1993—791no—
336#1993—791no—
337#1990—791no—
338#1988—791no—
339#1987—791no—
340#1987—791no—
341#1804—791no—
342#1804—791no—
343#1802—791no—
344#1762—791no—
345#1762D7911yescharacteristic
346C4×#102—791no—
347C79#2252311yescharacteristic, complemented, Sylow
348C23×Q8—1581no—
349D4×Q8—798no—
350D4×Q8—1584no—
351C2×C4⋊Q8—791no—
352C2×C4⋊Q8—791no—
353C2×C4⋊Q8—791no—
354C2×C22⋊Q8—1581no—
355C2×C22⋊Q8—1581no—
356C2×C22⋊Q8—1581no—
357C2×C4×Q8—791no—
358C2×C4×D4—791no—
359C2×C4×D4—791no—
360C2×C4×D4C2×D7911yescharacteristic
361#446—1584no—
362C2×C4⋊C8—791no—
363C2×C4⋊C8—791no—
364C2×C4⋊C8—791no—
365C2×#102—791no—
366C2×#102—791no—
367C2×#102C2×D7911yescharacteristic
368C2×#102C2×D7911yescharacteristic
369C2×#97—791no—
370C2×#97C2×D7911yescharacteristic
371C2×C4×C8—791no—
372#391—1581no—
373#387—1581no—
374#387—1581no—
375#384—791no—
376#382—791no—
377#382—791no—
378C4×C4⋊C4—791no—
379C4×C4⋊C4—791no—
380C4×C4⋊C4—1581no—
381C4×C4⋊C4C2×D7911yescharacteristic
382#340—791no—
383#340—791no—
384#340—791no—
385#340—791no—
386#340—791no—
387#340—791no—
388#340—791no—
389#340—791no—
390#340—791no—
391#340—791no—
392#340C2×D7911yescharacteristic
393#340C2×D7911yescharacteristic
394C22×Q8—3164no—
395C22×Q8—3164no—
396C22×Q8—791no—
397C22×Q8—1581no—
398C22×Q8—1581no—
399C22×Q8—1588no—
400C22×Q8—1581no—
401C22×D4C22×D7911yescharacteristic
402C23×C4—21no—
403C23×C4—1581no—
404C23×C4—1581no—
405C22×C8—791no—
406C22×C8—791no—
407C22×C8C22×D7911yescharacteristic
408C22×C8C22×D7911yescharacteristic
409C4⋊Q8—794no—
410C4⋊Q8—794no—
411C4⋊Q8—794no—
412C4⋊Q8—1582no—
413C4⋊Q8—1582no—
414C4⋊Q8—1582no—
415C22⋊Q8—1588no—
416C22⋊Q8—1588no—
417C22⋊Q8—1588no—
418C4×Q8—794no—
419C4×Q8—794no—
420C4×D4—22no—
421C4×D4—794no—
422C4×D4—794no—
423C4×D4—1582no—
424C4×D4—1582no—
425C4×D4C4×D7914yes—
426C2×C4⋊C4—791no—
427C2×C4⋊C4—791no—
428C2×C4⋊C4—791no—
429C2×C4⋊C4—791no—
430C2×C4⋊C4—791no—
431C2×C4⋊C4—791no—
432C2×C4⋊C4—791no—
433C2×C4⋊C4—1581no—
434C2×C4⋊C4—1581no—
435C2×C4⋊C4—1581no—
436C2×C4⋊C4—1581no—
437C2×C4⋊C4—1581no—
438C2×C4⋊C4C22×D7911yescharacteristic
439C2×C4⋊C4C22×D7911yescharacteristic
440C2×C4⋊C4C22×D7911yescharacteristic
441C2×C22⋊C4—21no—
442C2×C22⋊C4—1581no—
443C2×C22⋊C4—1581no—
444C2×C42—21no—
445C2×C42—791no—
446C2×C42—791no—
447C2×C42—1581no—
448C2×C42—1581no—
449C2×C42C22×D7911yescharacteristic
450C4⋊C8—1582no—
451C4⋊C8—1582no—
452C4⋊C8—1582no—
453#102—22no—
454#102—1582no—
455#102—1582no—
456#102Dic15814yescomplemented
457#97—22no—
458#97—1582no—
459C4×C8—1582no—
460#95—21no—
461#95—1581no—
462#95—1581no—
463#95—1581no—
464#95—1581no—
465#95—1581no—
466#95—1581no—
467C24—21no—
468C2×Q8—3162no—
469C2×Q8—3162no—
470C2×Q8—31632no—
471C2×Q8—3162no—
472C2×Q8—3162no—
473C2×Q8—3162no—
474C2×Q8—3162no—
475C2×Q8—794no—
476C2×Q8—1584no—
477C2×Q8—1584no—
478C2×Q8—1582no—
479C2×Q8—1582no—
480C2×Q8—1584no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4C2×C4×D7912yes—
485C2×D4C2×Dic15812yes—
486C2×D4#1192962412yes—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—24no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—3162no—
494C22×C4—3162no—
495C22×C4—3162no—
496C22×C4—3162no—
497C22×C4—791no—
498C22×C4—791no—
499C22×C4—791no—
500C22×C4—791no—
501C22×C4—1581no—
502C22×C4—1581no—
503C22×C4—1584no—
504C22×C4—1584no—
505C22×C4—1581no—
506C22×C4—1581no—
507C22×C4D4×D7911yescharacteristic
508C22×C4D4×D7911yescharacteristic
509C22×C4C23×D7911yescharacteristic
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—1581no—
516C2×C8—1581no—
517C2×C8—1581no—
518C2×C8—1581no—
519C2×C8—1581no—
520C2×C8—1581no—
521C2×C8C2×Dic15812yescomplemented
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—3162no—
527C4⋊C4—794no—
528C4⋊C4—794no—
529C4⋊C4—794no—
530C4⋊C4—792no—
531C4⋊C4—792no—
532C4⋊C4—6321no—
533C4⋊C4—1584no—
534C4⋊C4—1584no—
535C4⋊C4—1581no—
536C4⋊C4—1581no—
537C4⋊C4—1581no—
538C4⋊C4—1581no—
539C4⋊C4—1584no—
540C4⋊C4—1581no—
541C4⋊C4—1581no—
542C4⋊C4C2×C4×D7912yes—
543C4⋊C4C2×Dic15812yescomplemented
544C22⋊C4—24no—
545C22⋊C4—1584no—
546C22⋊C4—1584no—
547C42—81no—
548C42—3162no—
549C42—792no—
550C42—792no—
551C42—792no—
552C42—792no—
553C42—6321no—
554C42C2×C4×D7912yes—
555C42D4×D7912yes—
556C23—22no—
557C23—22no—
558C23—22no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23C2×D4×D7911yescharacteristic
564Q8—3168no—
565Q8—3168no—
566Q8—3168no—
567Q8—1588no—
568D4—22no—
569D4—22no—
570D4—22no—
571D4C4×Dic15814yes—
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—3161no—
587C2×C4—3161no—
588C2×C4—3161no—
589C2×C4—3161no—
590C2×C4—3168no—
591C2×C4—3168no—
592C2×C4—3161no—
593C2×C4—3161no—
594C2×C4—3161no—
595C2×C4—3161no—
596C2×C4—3161no—
597C2×C4—3161no—
598C2×C4—792no—
599C2×C4—792no—
600C2×C4—792no—
601C2×C4—792no—
602C2×C4—792no—
603C2×C4—792no—
604C2×C4—1582no—
605C2×C4—1582no—
606C2×C4—1581no—
607C2×C4—1581no—
608C2×C4—1581no—
609C2×C4—1581no—
610C2×C4—1581no—
611C2×C4—1581no—
612C2×C4C22⋊C4×D7912yes—
613C2×C4C22⋊C4×D7912yes—
614C2×C4C22×C4×D7911yescharacteristic
615C2×C4C2×D4×D7911yescharacteristic
616C2×C4C22×Dic15811yescharacteristic
617C2×C4C2×#1192962411yescharacteristic
618C2×C4#1457920811yescharacteristic
619C2×C4#1457920811yescharacteristic
620C8—22no—
621C8—41no—
622C8—3161no—
623C8—3161no—
624C22—24no—
625C22—42no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22C2×C22⋊C4×D7911yescharacteristic
632C22#1909922211yescharacteristic
633C22D4×Dic15811yescharacteristic
634C22AGL(1,ℤ/8)×D7911yescharacteristic
635C22AGL(1,ℤ/8)×D7911yescharacteristic
636C22#1909937311yescharacteristic
637C22#1909937911yescharacteristic
638C4—22no—
639C4—22no—
640C4—42no—
641C4—42no—
642C4—81no—
643C4—3162no—
644C4—3162no—
645C4—794no—
646C4—6321no—
647C4—6321no—
648C4—1582no—
649C4—1582no—
650C4—1582no—
651C4C2×C4×Dic15811yescharacteristic
652C4#1909904011yescharacteristic
653C4#1909922211yescharacteristic
654C4D4×Dic15811yescharacteristic
655C2—44no—
656C2C22⋊C4×Dic15811yescharacteristic
657C2#418×D7911yescharacteristic
658C2#2377193111yescharacteristic
659C2#2377611911yescharacteristic
660C2#2377619311yescharacteristic
661C2#2377630011yescharacteristic
662C2#2377632211yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#1762C2
socleC23×C79C22×D4
prime radicalC22×D4×C79C23
cosocleC22×C4×C79C24
hypercenter#1762D79
hypocenterC79#22523
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1762

Complements

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

NH ≅ G/Ntype
2. C2×#19098691C2semidirect
3. #23766358C2semidirect
4. #23764373C2semidirect
5. #23764371C2semidirect
6. #23764359C2semidirect
7. #23764350C2semidirect
8. #23764348C2semidirect
9. #23764346C2semidirect
18. D4×Dic158C4semidirect
132. #102×C79Q8semidirect
213. C2×C8×C79C2×Q8semidirect
219. C4⋊C4×C79C2×Q8semidirect
347. C79#22523semidirect
456. #102Dic158semidirect
521. C2×C8C2×Dic158semidirect
543. C4⋊C4C2×Dic158semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Dic1582
C2×#190986912
#237663582
#237643732
#237643712
#237643592
#237643502
#237643482
#237643462
#237634102
#237634082
#237633982
#237632272
#102×Dic792
C79×#17622
#2252379