Finite Group Databasebeta

← C41×#26789 #23802990

Subgroups — C41×#26789 #23802990

Order 10496.

804 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C41×#483C211yesmaximal, characteristic
2C2×C41×#479C211yesmaximal, characteristic, complemented
3C41×#2489C211yesmaximal, characteristic
4C41×#2360C211yesmaximal, characteristic
5C41×#2066C211yesmaximal, characteristic, complemented
6C41×#2059C211yesmaximal, characteristic, complemented
7C41×#2035C211yesmaximal, characteristic
8C41×#2001C211yesmaximal, characteristic
9C41×#1969C211yesmaximal, characteristic, complemented
10C41×#1928C211yesmaximal, characteristic, complemented
11C41×#1927C211yesmaximal, characteristic, complemented
12C41×#1923C211yesmaximal, characteristic
13C41×#1878C211yesmaximal, characteristic, complemented
14C41×#1852C211yesmaximal, characteristic
15C4×#106×C41C211yesmaximal, characteristic, complemented
16C22×Q16×C41C2211yescharacteristic
17C2×#125×C41C2211yescharacteristic
18C2×C22⋊Q8×C41C2211yescharacteristic
19C2×C22⋊Q8×C41C2211yescharacteristic
20C2×C4×Q8×C41C2211yescharacteristic
21C22×C4⋊C4×C41C2211yescharacteristic
22C41×#483—24no—
23C41×#479—24no—
24C2×#107×C41C2211yescharacteristic
25C2×#107×C41C2211yescharacteristic
26C2×#106×C41C2211yescharacteristic
27C2×#106×C41C2211yescharacteristic
28C2×#106×C41C2211yescharacteristic
29C2×C4⋊C8×C41C2211yescharacteristic
30C2×#103×C41C2211yescharacteristic
31C2×#103×C41C2211yescharacteristic
32C2×#103×C41C2211yescharacteristic
33C2×#103×C41C2211yescharacteristic
34C2×#103×C41C2211yescharacteristic
35C2×#103×C41C2211yescharacteristic
36C2×C22⋊C8×C41C2211yescharacteristic
37C2×C22⋊C8×C41C2211yescharacteristic
38C2×C4×C8×C41C2211yescharacteristic
39C41×#400—21no—
40C41×#397—21no—
41C41×#391C2211yescharacteristic
42C41×#391C2211yescharacteristic
43C41×#391C2211yescharacteristic
44C41×#389—21no—
45C41×#389C2211yescharacteristic
46C41×#388—21no—
47C41×#387—21no—
48C41×#385—21no—
49C41×#382—21no—
50C41×#380C2211yescharacteristic
51C4×C4⋊C4×C41C2211yescharacteristic
52C4×C4⋊C4×C41C2211yescharacteristic
53C4×C22⋊C4×C41—21no—
54C4×C22⋊C4×C41C2211yescharacteristic
55C41×#340C2211yescharacteristic
56C41×#340C2211yescharacteristic
57C41×#340C2211yescharacteristic
58C41×#340C2211yescharacteristic
59C41×#336C2211yescharacteristic
60C41×#336C2211yescharacteristic
61C22×Q8×C41C2311yescharacteristic
62C22×Q8×C41C2311yescharacteristic
63C23×C4×C41—21no—
64C23×C4×C41C2311yescharacteristic
65C2×Q16×C41—22no—
66C2×Q16×C41—22no—
67C2×Q16×C41—41no—
68C22×C8×C41C2311yescharacteristic
69C22×C8×C41C2311yescharacteristic
70C22×C8×C41C2311yescharacteristic
71C22×C8×C41C2311yescharacteristic
72#125×C41—22no—
73#125×C41—41no—
74C22⋊Q8×C41—22no—
75C22⋊Q8×C41—22no—
76C22⋊Q8×C41—22no—
77C22⋊Q8×C41—41no—
78C4×Q8×C41—22no—
79C4×Q8×C41—41no—
80C2×C4⋊C4×C41—21no—
81C2×C4⋊C4×C41—22no—
82C2×C4⋊C4×C41—21no—
83C2×C4⋊C4×C41—21no—
84C2×C4⋊C4×C41—21no—
85C2×C4⋊C4×C41—21no—
86C2×C4⋊C4×C41—21no—
87C2×C4⋊C4×C41—21no—
88C2×C4⋊C4×C41—41no—
89C2×C4⋊C4×C41C2311yescharacteristic
90C2×C4⋊C4×C41C2311yescharacteristic
91C2×C4⋊C4×C41C2311yescharacteristic
92C2×C4⋊C4×C41C2311yescharacteristic
93C2×C4⋊C4×C41C2311yescharacteristic
94C2×C4⋊C4×C41C2311yescharacteristic
95C2×C22⋊C4×C41—21no—
96C2×C22⋊C4×C41—21no—
97C2×C22⋊C4×C41—21no—
98C2×C22⋊C4×C41D411yescharacteristic
99C2×C22⋊C4×C41D411yescharacteristic
100C2×C42×C41—21no—
101C2×C42×C41—21no—
102C2×C42×C41—21no—
103C2×C42×C41C2311yescharacteristic
104C2×C42×C41C2311yescharacteristic
105#107×C41—22no—
106#107×C41—41no—
107#106×C41—22no—
108#106×C41—22no—
109#106×C41D414yes—
110C4⋊C8×C41—22no—
111#103×C41—22no—
112#103×C41—22no—
113#103×C41—22no—
114#103×C41—22no—
115#103×C41—22no—
116#103×C41—22no—
117C22⋊C8×C41—22no—
118C22⋊C8×C41—22no—
119C4×C8×C41—22no—
120#95×C41—21no—
121#95×C41—21no—
122#95×C41—21no—
123#95×C41—21no—
124#95×C41—21no—
125#95×C41—21no—
126#95×C41—21no—
127#95×C41—21no—
128#95×C41—21no—
129#95×C41—21no—
130#95×C41D411yescharacteristic
131#95×C41D411yescharacteristic
132C24×C41C2×D411yescharacteristic
133C2×Q8×C41—21no—
134C2×Q8×C41—21no—
135C2×Q8×C41—21no—
136C2×Q8×C41—21no—
137C2×Q8×C41—21no—
138C2×Q8×C41—21no—
139C2×Q8×C41—21no—
140C2×Q8×C41—21no—
141C2×Q8×C41—21no—
142C2×Q8×C41—21no—
143C2×Q8×C41—21no—
144C2×Q8×C41#4112yes—
145C22×C4×C41—21no—
146C22×C4×C41—21no—
147C22×C4×C41—21no—
148C22×C4×C41—21no—
149C22×C4×C41—21no—
150C22×C4×C41—21no—
151C22×C4×C41—21no—
152C22×C4×C41—21no—
153C22×C4×C41—21no—
154C22×C4×C41—21no—
155C22×C4×C41—21no—
156C22×C4×C41—21no—
157C22×C4×C41—21no—
158C22×C4×C41—21no—
159C22×C4×C41—42no—
160C22×C4×C41—42no—
161C22×C4×C41—81no—
162C22×C4×C41C2×D411yescharacteristic
163C22×C4×C41C2×D411yescharacteristic
164C22×C4×C41C2×D411yescharacteristic
165C22×C4×C41C2×D411yescharacteristic
166C22×C4×C41C2×D411yescharacteristic
167C22×C4×C41C2411yescharacteristic
168Q16×C41—44no—
169C2×C8×C41—21no—
170C2×C8×C41—21no—
171C2×C8×C41—21no—
172C2×C8×C41—21no—
173C2×C8×C41—21no—
174C2×C8×C41—21no—
175C2×C8×C41—21no—
176C2×C8×C41—21no—
177C2×C8×C41—21no—
178C2×C8×C41—21no—
179C2×C8×C41C2×D412yes—
180C2×C8×C41#4112yes—
181C4⋊C4×C41—24no—
182C4⋊C4×C41—21no—
183C4⋊C4×C41—21no—
184C4⋊C4×C41—21no—
185C4⋊C4×C41—21no—
186C4⋊C4×C41—21no—
187C4⋊C4×C41—21no—
188C4⋊C4×C41—21no—
189C4⋊C4×C41—21no—
190C4⋊C4×C41—21no—
191C4⋊C4×C41—42no—
192C4⋊C4×C41—42no—
193C4⋊C4×C41—42no—
194C4⋊C4×C41—42no—
195C4⋊C4×C41—42no—
196C4⋊C4×C41—81no—
197C4⋊C4×C41C2×D412yes—
198C4⋊C4×C41C2×D412yes—
199C4⋊C4×C41#4112yes—
200C22⋊C4×C41—24no—
201C22⋊C4×C41—22no—
202C22⋊C4×C41—22no—
203C22⋊C4×C41—42no—
204C22⋊C4×C41—42no—
205C42×C41—21no—
206C42×C41—21no—
207C42×C41—21no—
208C42×C41—21no—
209C42×C41—42no—
210C42×C41—42no—
211C42×C41—81no—
212C23×C41—21no—
213C23×C41—21no—
214C23×C41—21no—
215C23×C41—21no—
216C23×C41—21no—
217C23×C41—21no—
218C23×C41#13512yes—
219C23×C41C22×D411yescharacteristic
220Q8×C41—22no—
221Q8×C41—22no—
222Q8×C41—41no—
223Q8×C41—41no—
224Q8×C41—41no—
225Q8×C41—41no—
226Q8×C41—41no—
227Q8×C41—41no—
228C2×C4×C41—21no—
229C2×C4×C41—21no—
230C2×C4×C41—22no—
231C2×C4×C41—22no—
232C2×C4×C41—21no—
233C2×C4×C41—21no—
234C2×C4×C41—21no—
235C2×C4×C41—22no—
236C2×C4×C41—22no—
237C2×C4×C41—21no—
238C2×C4×C41—21no—
239C2×C4×C41—21no—
240C2×C4×C41—21no—
241C2×C4×C41—21no—
242C2×C4×C41—21no—
243C2×C4×C41—21no—
244C2×C4×C41—21no—
245C2×C4×C41—21no—
246C2×C4×C41—41no—
247C2×C4×C41—41no—
248C2×C4×C41—41no—
249C2×C4×C41—41no—
250C2×C4×C41—41no—
251C2×C4×C41—41no—
252C2×C4×C41—41no—
253C2×C4×C41—41no—
254C2×C4×C41—41no—
255C2×C4×C41—41no—
256C2×C4×C41—41no—
257C2×C4×C41—41no—
258C2×C4×C41—41no—
259C2×C4×C41—41no—
260C2×C4×C41—41no—
261C2×C4×C41—41no—
262C2×C4×C41—41no—
263C2×C4×C41—41no—
264C2×C4×C41—41no—
265C2×C4×C41—41no—
266C2×C4×C41—41no—
267C2×C4×C41—41no—
268C2×C4×C41—41no—
269C2×C4×C41—41no—
270C2×C4×C41—84no—
271C2×C4×C41#13712yes—
272C2×C4×C41C22×D411yescharacteristic
273C2×C4×C41C2×#4111yescharacteristic
274C2×C4×C41C2×#4111yescharacteristic
275C2×C4×C41C2×#4111yescharacteristic
276C2×C4×C41H(5,𝔽2)11yescharacteristic
277C2×C4×C412−1+411yescharacteristic
278C8×C41—22no—
279C8×C41—22no—
280C8×C41—41no—
281C8×C41—41no—
282#26789C4111yesmaximal, characteristic, direct product factor, Sylow
283C22×C41—22no—
284C22×C41—22no—
285C22×C41—22no—
286C22×C41—41no—
287C22×C41—41no—
288C22×C41—41no—
289C22×C41—41no—
290C22×C41#52511yescharacteristic
291C22×C41D4211yescharacteristic
292C22×C41#54711yescharacteristic
293C22×C41C2×#13511yescharacteristic
294C22×C41C2×#13711yescharacteristic
295C22×C41#57711yescharacteristic
296C22×C41#57811yescharacteristic
297C4×C41—22no—
298C4×C41—41no—
299C4×C41—42no—
300C4×C41—41no—
301C4×C41—42no—
302C4×C41—41no—
303C4×C41—42no—
304C4×C41—41no—
305C4×C41—42no—
306C4×C41—81no—
307C4×C41—81no—
308C4×C41—81no—
309C4×C41—81no—
310C4×C41#53211yescharacteristic
311C4×C41#54211yescharacteristic
312C4×C41#54811yescharacteristic
313C4×C41#55111yescharacteristic
314C2×#483C2×C4111yescharacteristic
315C2×#479C2×C4111yescharacteristic, complemented
316#2489C2×C4111yescharacteristic
317#2360C2×C4111yescharacteristic
318#2066C2×C4111yescharacteristic, complemented
319#2059C2×C4111yescharacteristic, complemented
320#2035C2×C4111yescharacteristic
321#2001C2×C4111yescharacteristic
322#1969C2×C4111yescharacteristic, complemented
323#1928C2×C4111yescharacteristic, complemented
324#1927C2×C4111yescharacteristic, complemented
325#1923C2×C4111yescharacteristic
326#1878C2×C4111yescharacteristic, complemented
327#1852C2×C4111yescharacteristic
328C4×#106C2×C4111yescharacteristic, complemented
329C2×C41—42no—
330C2×C41#246111yescharacteristic
331C2×C41#310811yescharacteristic
332C2×C41#312011yescharacteristic
333C2×C41#327611yescharacteristic
334C2×C41#328211yescharacteristic
335C2×C41#333611yescharacteristic
336C2×C41#334411yescharacteristic
337C22×Q16C22×C4111yescharacteristic
338C2×#125C22×C4111yescharacteristic
339C2×C22⋊Q8C22×C4111yescharacteristic
340C2×C22⋊Q8C22×C4111yescharacteristic
341C2×C4×Q8C22×C4111yescharacteristic
342C22×C4⋊C4C22×C4111yescharacteristic
343#483—24no—
344#479—24no—
345C2×#107C22×C4111yescharacteristic
346C2×#107C22×C4111yescharacteristic
347C2×#106C22×C4111yescharacteristic
348C2×#106C22×C4111yescharacteristic
349C2×#106C22×C4111yescharacteristic
350C2×C4⋊C8C22×C4111yescharacteristic
351C2×#103C22×C4111yescharacteristic
352C2×#103C22×C4111yescharacteristic
353C2×#103C22×C4111yescharacteristic
354C2×#103C22×C4111yescharacteristic
355C2×#103C22×C4111yescharacteristic
356C2×#103C22×C4111yescharacteristic
357C2×C22⋊C8C22×C4111yescharacteristic
358C2×C22⋊C8C22×C4111yescharacteristic
359C2×C4×C8C22×C4111yescharacteristic
360#400—21no—
361#397—21no—
362#391C22×C4111yescharacteristic
363#391C22×C4111yescharacteristic
364#391C22×C4111yescharacteristic
365#389—21no—
366#389C22×C4111yescharacteristic
367#388—21no—
368#387—21no—
369#385—21no—
370#382—21no—
371#380C22×C4111yescharacteristic
372C4×C4⋊C4C22×C4111yescharacteristic
373C4×C4⋊C4C22×C4111yescharacteristic
374C4×C22⋊C4—21no—
375C4×C22⋊C4C22×C4111yescharacteristic
376#340C22×C4111yescharacteristic
377#340C22×C4111yescharacteristic
378#340C22×C4111yescharacteristic
379#340C22×C4111yescharacteristic
380#336C22×C4111yescharacteristic
381#336C22×C4111yescharacteristic
382C41#2678911yescharacteristic, direct product factor, Sylow
383C22×Q8C23×C4111yescharacteristic
384C22×Q8C23×C4111yescharacteristic
385C23×C4—21no—
386C23×C4C23×C4111yescharacteristic
387C2×Q16—22no—
388C2×Q16—22no—
389C2×Q16—41no—
390C22×C8C23×C4111yescharacteristic
391C22×C8C23×C4111yescharacteristic
392C22×C8C23×C4111yescharacteristic
393C22×C8C23×C4111yescharacteristic
394#125—22no—
395#125—41no—
396C22⋊Q8—22no—
397C22⋊Q8—22no—
398C22⋊Q8—22no—
399C22⋊Q8—41no—
400C4×Q8—22no—
401C4×Q8—41no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—41no—
411C2×C4⋊C4C23×C4111yescharacteristic
412C2×C4⋊C4C23×C4111yescharacteristic
413C2×C4⋊C4C23×C4111yescharacteristic
414C2×C4⋊C4C23×C4111yescharacteristic
415C2×C4⋊C4C23×C4111yescharacteristic
416C2×C4⋊C4C23×C4111yescharacteristic
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4D4×C4111yescharacteristic
421C2×C22⋊C4D4×C4111yescharacteristic
422C2×C42—21no—
423C2×C42—21no—
424C2×C42—21no—
425C2×C42C23×C4111yescharacteristic
426C2×C42C23×C4111yescharacteristic
427#107—22no—
428#107—41no—
429#106—22no—
430#106—22no—
431#106D4×C4114yes—
432C4⋊C8—22no—
433#103—22no—
434#103—22no—
435#103—22no—
436#103—22no—
437#103—22no—
438#103—22no—
439C22⋊C8—22no—
440C22⋊C8—22no—
441C4×C8—22no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95D4×C4111yescharacteristic
453#95D4×C4111yescharacteristic
454C24C2×D4×C4111yescharacteristic
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8#41×C4112yes—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—81no—
484C22×C4C2×D4×C4111yescharacteristic
485C22×C4C2×D4×C4111yescharacteristic
486C22×C4C2×D4×C4111yescharacteristic
487C22×C4C2×D4×C4111yescharacteristic
488C22×C4C2×D4×C4111yescharacteristic
489C22×C4C24×C4111yescharacteristic
490Q16—44no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8C2×D4×C4112yes—
502C2×C8#41×C4112yes—
503C4⋊C4—24no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—42no—
514C4⋊C4—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—42no—
518C4⋊C4—81no—
519C4⋊C4C2×D4×C4112yes—
520C4⋊C4C2×D4×C4112yes—
521C4⋊C4#41×C4112yes—
522C22⋊C4—24no—
523C22⋊C4—22no—
524C22⋊C4—22no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C42—21no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—42no—
532C42—42no—
533C42—81no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23#135×C4112yes—
541C23C22×D4×C4111yescharacteristic
542Q8—22no—
543Q8—22no—
544Q8—41no—
545Q8—41no—
546Q8—41no—
547Q8—41no—
548Q8—41no—
549Q8—41no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—84no—
593C2×C4#137×C4112yes—
594C2×C4C22×D4×C4111yescharacteristic
595C2×C4C2×#41×C4111yescharacteristic
596C2×C4C2×#41×C4111yescharacteristic
597C2×C4C2×#41×C4111yescharacteristic
598C2×C4H(5,𝔽2)×C4111yescharacteristic
599C2×C42−1+4×C4111yescharacteristic
600C8—22no—
601C8—22no—
602C8—41no—
603C8—41no—
604C22—22no—
605C22—22no—
606C22—22no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22C41×#52511yescharacteristic
612C22D42×C4111yescharacteristic
613C22C41×#54711yescharacteristic
614C22C2×#135×C4111yescharacteristic
615C22C2×#137×C4111yescharacteristic
616C22C41×#57711yescharacteristic
617C22C41×#57811yescharacteristic
618C4—22no—
619C4—41no—
620C4—42no—
621C4—41no—
622C4—42no—
623C4—41no—
624C4—42no—
625C4—41no—
626C4—42no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4C41×#53211yescharacteristic
632C4C41×#54211yescharacteristic
633C4C41×#54811yescharacteristic
634C4C41×#55111yescharacteristic
635C2—42no—
636C2C41×#246111yescharacteristic
637C2C41×#310811yescharacteristic
638C2C41×#312011yescharacteristic
639C2C41×#327611yescharacteristic
640C2C41×#328211yescharacteristic
641C2C41×#333611yescharacteristic
642C2C41×#334411yescharacteristic
subgroupG/H
center, socleC23×C41C22×D4
commutator, Frattini, cosocleC22×C4C24×C41
prime radicalC24×C41C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C41 ◁ C4×C22⋊C4×C41 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C41×#479C2semidirect
5. C41×#2066C2semidirect
6. C41×#2059C2semidirect
9. C41×#1969C2semidirect
10. C41×#1928C2semidirect
11. C41×#1927C2semidirect
13. C41×#1878C2semidirect
15. C4×#106×C41C2semidirect
282. #26789C41direct (N × H)
315. C2×#479C2×C41semidirect
318. #2066C2×C41semidirect
319. #2059C2×C41semidirect
322. #1969C2×C41semidirect
323. #1928C2×C41semidirect
324. #1927C2×C41semidirect
326. #1878C2×C41semidirect
328. C4×#106C2×C41semidirect
382. C41#26789direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C41×#4832
C2×C41×#4792
C41×#24892
C41×#23602
C41×#20662
C41×#20592
C41×#20352
C41×#20012
C41×#19692
C41×#19282
C41×#19272
C41×#19232
C41×#18782
C41×#18522
C4×#106×C412
#2678941