Finite Group Databasebeta

← #11787075

Subgroups — #11787075

Order 1152.

917 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595957C211yesmaximal, characteristic
2C3×#4946C211yesmaximal, characteristic, complemented
3#10591718C211yesmaximal, characteristic, complemented
4#10591711C211yesmaximal, characteristic
5C2×#63581C211yesmaximal, characteristic
6C3×#4526C211yesmaximal, characteristic, complemented
7#10589187C211yesmaximal, characteristic, complemented
8#69595—31nomaximal
9#68961—31nomaximal
10C22×#638C2211yescharacteristic
11C23×C3×Dic3C2211yescharacteristic
12C2×C32×C22⋊C4C2211yescharacteristic
13C2×#3757C2211yescharacteristic
14C4×#638—21no—
15C4×#638—21no—
16#64090—21no—
17#64090—21no—
18C22⋊C4×C3⋊D3—21no—
19#64086—21no—
20C2×C3×#217C2211yescharacteristic
21C2×C3×#217C2211yescharacteristic
22C2×C3×#217C2211yescharacteristic
23C2×C3×Dic3⋊C4—21no—
24C2×Dic3⋊Dic3—21no—
25C2×#3722—21no—
26C3×C3⋊#95—21no—
27#63581C414yescomplemented
28#63579—21no—
29#63579—21no—
30#5486—31no—
31#5486—31no—
32#5486—61no—
33C3×#385—31no—
34#5213—31no—
35#5210—31no—
36#4958—31no—
37C2×#806—31no—
38C2×#806—31no—
39#4950—31no—
40#4946D311yescharacteristic, complemented
41C3×#342—31no—
42#4527—31no—
43#4527—31no—
44#4526D311yescharacteristic, complemented
45C24×C32C2311yescharacteristic
46C23×C3⋊D3D411yescharacteristic
47C22×C32×C4D411yescharacteristic
48C22×C32×C4D411yescharacteristic
49C2×#638—21no—
50C2×#638—21no—
51C2×#638—21no—
52C2×#638—21no—
53C2×#638C2×C412yes—
54C2×#638Q812yes—
55C22×C3⋊Dic3D411yescharacteristic
56C22×C3⋊Dic3D411yescharacteristic
57C22×C3⋊Dic3D411yescharacteristic
58C2×C4×C3⋊D3—21no—
59C2×C4×C3⋊D3—21no—
60C22×C3×Dic3—21no—
61C22×C3×Dic3—21no—
62C22×C3×Dic3—21no—
63C22×C3×Dic3—21no—
64C22×C3×Dic3—21no—
65C22×C3×Dic3—21no—
66C22×C3×Dic3—42no—
67C32×C22⋊C4—21no—
68C32×C22⋊C4—21no—
69#3757—21no—
70#3757—21no—
71#3752—21no—
72#3752—21no—
73#3750—21no—
74#3750—21no—
75C4×C3⋊Dic3—21no—
76C4×C3⋊Dic3—21no—
77C3×#217—21no—
78C3×#217—21no—
79C3×#217—21no—
80C3×#217—21no—
81C3×#217C2×C412yescomplemented
82C3×#217C2×C412yescomplemented
83C3×Dic3⋊C4—42no—
84Dic3⋊Dic3—42no—
85#3722—42no—
86#1867—91noSylow
87C23×C3×C4—31no—
88C22×#67—31no—
89C22×#67—31no—
90C22×#67—61no—
91C23×Dic3C2×D311yescharacteristic
92C2×C3×C4⋊C4—61no—
93C2×C3×C22⋊C4—21no—
94C2×C3×C22⋊C4—31no—
95C2×C3×C22⋊C4—31no—
96C2×C3×C22⋊C4—31no—
97C2×C3×C22⋊C4C2×D311yescharacteristic
98C2×C3×C22⋊C4C2×D311yescharacteristic
99C2×#217—31no—
100C2×#217—31no—
101C2×#217—61no—
102C2×#217C2×D311yescharacteristic
103C2×#217C2×D311yescharacteristic
104C2×#217C2×D311yescharacteristic
105C4×#67—62no—
106C4×#67—62no—
107C4×#67—61no—
108C4×#67—61no—
109C4×#67—61no—
110C4×#67—61no—
111C2×(C2×D3)⋊C4—61no—
112C2×(C2×D3)⋊C4—61no—
113C2×C4⋊Dic3—61no—
114C2×Dic3⋊C4—21no—
115C2×Dic3⋊C4—61no—
116#67⋊C4—61no—
117#67⋊C4—61no—
118#67⋊C4—61no—
119#67⋊C4—61no—
120#67⋊C4—62no—
121#67⋊C4—62no—
122D3×C22⋊C4—61no—
123D3×C22⋊C4—61no—
124D3×C22⋊C4—62no—
125#877—61no—
126#877—61no—
127#877—62no—
128C3×#95—61no—
129C3⋊#95—21no—
130C3⋊#95—61no—
131C3⋊#95—61no—
132C3⋊#95—61no—
133C3⋊#95—61no—
134#806—34no—
135#806—34no—
136C23×C32—41no—
137C23×C32—41no—
138C23×C32C22×C411yescharacteristic
139C23×C32C2×D411yescharacteristic
140C23×C32C2×D411yescharacteristic
141C23×C32C2×D411yescharacteristic
142C23×C32C2×Q811yescharacteristic
143C23×C32#4111yescharacteristic
144C23×C32#4111yescharacteristic
145C22×C3⋊D3—21no—
146C22×C3⋊D3—21no—
147C22×C3⋊D3—41no—
148C22×C3⋊D3—41no—
149C22×C3⋊D3C4⋊C412yescomplemented
150C2×C32×C4—21no—
151C2×C32×C4—21no—
152C2×C32×C4—41no—
153C2×C32×C4—41no—
154#638—22no—
155#638—22no—
156#638—22no—
157#638—22no—
158C2×C3⋊Dic3—21no—
159C2×C3⋊Dic3—21no—
160C2×C3⋊Dic3—21no—
161C2×C3⋊Dic3—21no—
162C2×C3⋊Dic3—41no—
163C2×C3⋊Dic3—41no—
164C2×C3⋊Dic3C4⋊C412yescomplemented
165C4×C3⋊D3—81no—
166C4×C3⋊D3—81no—
167C2×C3×Dic3—22no—
168C2×C3×Dic3—22no—
169C2×C3×Dic3—22no—
170C2×C3×Dic3—22no—
171C2×C3×Dic3—22no—
172C2×C3×Dic3—41no—
173C2×C3×Dic3—41no—
174C2×C3×Dic3—41no—
175C2×C3×Dic3—41no—
176C2×C3×Dic3—41no—
177C2×C3×Dic3—41no—
178C2×C3×Dic3—41no—
179C2×C3×Dic3—41no—
180C2×C3×Dic3—41no—
181C2×C3×Dic3—41no—
182C2×C3×Dic3—41no—
183#518—91no—
184C2×#99—91no—
185#386—91no—
186#385—31no—
187#385—91no—
188#342—31no—
189#342—91no—
190C24×C3—21no—
191C24×C3C22×D311yescharacteristic
192C24×C3C22×D311yescharacteristic
193C23×D3—31no—
194C23×D3—31no—
195C23×D3—61no—
196C22×C3×C4—21no—
197C22×C3×C4—21no—
198C22×C3×C4—61no—
199C22×C3×C4—61no—
200C22×C3×C4—61no—
201C22×C3×C4—61no—
202C22×C3×C4—61no—
203C22×C3×C4—61no—
204C22×C3×C4—122no—
205C22×C3×C4D1211yescharacteristic
206C22×C3×C4D1211yescharacteristic
207C22×C3×C4#6711yescharacteristic
208C22×C3×C4#6711yescharacteristic
209C2×#67—32no—
210C2×#67—32no—
211C2×#67—32no—
212C2×#67—32no—
213C2×#67—62no—
214C2×#67—62no—
215C2×#67—62no—
216C2×#67—62no—
217C2×#67—62no—
218C2×#67—62no—
219C2×#67—61no—
220C2×#67—61no—
221C2×#67—61no—
222C2×#67—61no—
223C2×#67—61no—
224C2×#67—61no—
225C2×#67—61no—
226C2×#67—61no—
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C22×Dic3—21no—
231C22×Dic3—21no—
232C22×Dic3—21no—
233C22×Dic3—31no—
234C22×Dic3—31no—
235C22×Dic3—31no—
236C22×Dic3—31no—
237C22×Dic3—31no—
238C22×Dic3—31no—
239C22×Dic3—42no—
240C22×Dic3—61no—
241C22×Dic3—61no—
242C22×Dic3—61no—
243C2×C4×D3—62no—
244C2×C4×D3—62no—
245C2×C4×D3—61no—
246C2×C4×D3—61no—
247C2×C4×D3—61no—
248C2×C4×D3—61no—
249C3×C4⋊C4—122no—
250C3×C22⋊C4—22no—
251C3×C22⋊C4—22no—
252C3×C22⋊C4—21no—
253C3×C22⋊C4—21no—
254C3×C22⋊C4—21no—
255C3×C22⋊C4—21no—
256C3×C22⋊C4—32no—
257C3×C22⋊C4—32no—
258C3×C22⋊C4—61no—
259C3×C22⋊C4—61no—
260C3×C22⋊C4—61no—
261C3×C22⋊C4—61no—
262#217—21no—
263#217—21no—
264#217—21no—
265#217—21no—
266#217—62no—
267#217—62no—
268#217—61no—
269#217—61no—
270#217—61no—
271#217—61no—
272#217C4×D312yescomplemented
273#217C4×D312yescomplemented
274(C2×D3)⋊C4—62no—
275(C2×D3)⋊C4—62no—
276(C2×D3)⋊C4—61no—
277(C2×D3)⋊C4—61no—
278(C2×D3)⋊C4—61no—
279(C2×D3)⋊C4—61no—
280(C2×D3)⋊C4—122no—
281(C2×D3)⋊C4—122no—
282C4⋊Dic3—122no—
283Dic3⋊C4—42no—
284Dic3⋊C4—62no—
285Dic3⋊C4—62no—
286Dic3⋊C4—61no—
287Dic3⋊C4—61no—
288Dic3⋊C4—61no—
289Dic3⋊C4—61no—
290Dic3⋊C4—122no—
291C4×Dic3—62no—
292C4×Dic3—62no—
293C4×Dic3—61no—
294C4×Dic3—61no—
295C4×Dic3—61no—
296C4×Dic3—61no—
297C22×C32—21no—
298C22×C32—21no—
299C22×C32—21no—
300C22×C32—21no—
301C22×C32—21no—
302C22×C32—21no—
303C22×C32—41no—
304C22×C32—41no—
305C22×C32—41no—
306C22×C32—41no—
307C22×C32C2×C4⋊C411yescharacteristic
308C22×C32C4×D411yescharacteristic
309C22×C32C4×D411yescharacteristic
310C22×C32#12011yescharacteristic
311C22×C32C22⋊Q811yescharacteristic
312C22×C32C22⋊Q811yescharacteristic
313C22×C32#12311yescharacteristic
314C2×C3⋊D3—22no—
315C2×C3⋊D3—41no—
316C2×C3⋊D3—41no—
317C2×C3⋊D3—42no—
318C2×C3⋊D3—81no—
319C32×C4—41no—
320C32×C4—41no—
321C3⋊Dic3—22no—
322C3⋊Dic3—41no—
323C3⋊Dic3—41no—
324C3×Dic3—42no—
325C3×Dic3—42no—
326C3×Dic3—42no—
327C3×Dic3—81no—
328C22×D4—91no—
329C23×C4—31no—
330C4×D4—181no—
331C4×D4—181no—
332C4×D4—181no—
333C4×D4—181no—
334#117—181no—
335C2×C4⋊C4—61no—
336C2×C4⋊C4—181no—
337C2×C22⋊C4—31no—
338C2×C22⋊C4—31no—
339C2×C22⋊C4—31no—
340C2×C22⋊C4—91no—
341C2×C22⋊C4—181no—
342C2×C22⋊C4—181no—
343C2×C22⋊C4D3211yescharacteristic
344#99—94no—
345#95—61no—
346#95—181no—
347#95—181no—
348C23×C3—21no—
349C23×C3—21no—
350C23×C3—21no—
351C23×C3—21no—
352C23×C3—21no—
353C23×C3—21no—
354C23×C3—21no—
355C23×C3—41no—
356C23×C3—41no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3—81no—
360C23×C3—81no—
361C23×C3C2×C4×D311yescharacteristic
362C23×C3C2×C4×D311yescharacteristic
363C23×C3C2×D1211yescharacteristic
364C23×C3#23511yescharacteristic
365C23×C3#23511yescharacteristic
366C23×C3D3×D411yescharacteristic
367C23×C3D3×D411yescharacteristic
368C23×C3D3×D411yescharacteristic
369C23×C3D3×D411yescharacteristic
370C23×C3#23711yescharacteristic
371C23×C3D3×Q811yescharacteristic
372C23×C3D3×Q811yescharacteristic
373C23×C3#23911yescharacteristic
374C23×C3C2×#6711yescharacteristic
375C22×D3—32no—
376C22×D3—32no—
377C22×D3—62no—
378C22×D3—62no—
379C22×D3—61no—
380C22×D3—61no—
381C22×D3—62no—
382C22×D3—61no—
383C22×D3—61no—
384C22×D3—121no—
385C22×D3—121no—
386C22×D3—121no—
387C22×D3—121no—
388C22×D3—241no—
389C22×D3—241no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—41no—
400C2×C3×C4—62no—
401C2×C3×C4—62no—
402C2×C3×C4—62no—
403C2×C3×C4—62no—
404C2×C3×C4—62no—
405C2×C3×C4—81no—
406C2×C3×C4—81no—
407C2×C3×C4—121no—
408C2×C3×C4—121no—
409C2×C3×C4—121no—
410C2×C3×C4—121no—
411C2×C3×C4—121no—
412C2×C3×C4—121no—
413C2×C3×C4—121no—
414C2×C3×C4—121no—
415C2×C3×C4—121no—
416C2×C3×C4—121no—
417C2×C3×C4—121no—
418#67—64no—
419#67—64no—
420#67—64no—
421#67—64no—
422#67—62no—
423#67—62no—
424#67—62no—
425#67—62no—
426#67—62no—
427#67—62no—
428#67—62no—
429#67—62no—
430C2×Dic3—22no—
431C2×Dic3—22no—
432C2×Dic3—22no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—32no—
436C2×Dic3—32no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—62no—
449C2×Dic3—62no—
450C2×Dic3—62no—
451C2×Dic3—61no—
452C2×Dic3—61no—
453C2×Dic3—61no—
454C2×Dic3—61no—
455C2×Dic3—62no—
456C2×Dic3—62no—
457C2×Dic3—61no—
458C2×Dic3—61no—
459C2×Dic3—61no—
460C2×Dic3—61no—
461C2×Dic3—121no—
462C2×Dic3—121no—
463C2×Dic3—121no—
464C2×Dic3—121no—
465C2×Dic3—241no—
466C2×Dic3—241no—
467C4×D3—242no—
468C4×D3—242no—
469C4×D3—241no—
470C4×D3—241no—
471C4×D3—241no—
472C4×D3—241no—
473C2×C32—21no—
474C2×C32—21no—
475C2×C32—21no—
476C2×C32—21no—
477C2×C32—21no—
478C2×C32—21no—
479C2×C32#38511yescharacteristic
480C2×C32B(4,𝔽2)11yescharacteristic
481C2×C32#45811yescharacteristic
482C3⋊D3—42no—
483C24—91no—
484C24C2×D3211yescharacteristic
485C2×D4—92no—
486C2×D4—92no—
487C2×D4—181no—
488C2×D4—181no—
489C2×D4—181no—
490C2×D4—181no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—91no—
498C22×C4—91no—
499C22×C4—91no—
500C22×C4—122no—
501C22×C4—181no—
502C22×C4—181no—
503C22×C4#62611yescharacteristic
504C22×C4#62611yescharacteristic
505C4⋊C4—122no—
506C4⋊C4—181no—
507C4⋊C4—181no—
508C4⋊C4—362no—
509C22⋊C4—21no—
510C22⋊C4—21no—
511C22⋊C4—32no—
512C22⋊C4—32no—
513C22⋊C4—61no—
514C22⋊C4—61no—
515C22⋊C4—61no—
516C22⋊C4—61no—
517C22⋊C4—181no—
518C22⋊C4—181no—
519C22⋊C4—181no—
520C22⋊C4—181no—
521C22⋊C4—362no—
522C42—181no—
523C42—181no—
524C22×C3—21no—
525C22×C3—21no—
526C22×C3—21no—
527C22×C3—21no—
528C22×C3—21no—
529C22×C3—21no—
530C22×C3—21no—
531C22×C3—21no—
532C22×C3—21no—
533C22×C3—21no—
534C22×C3—21no—
535C22×C3—21no—
536C22×C3—21no—
537C22×C3—21no—
538C22×C3—21no—
539C22×C3—21no—
540C22×C3—21no—
541C22×C3—21no—
542C22×C3—21no—
543C22×C3—41no—
544C22×C3—41no—
545C22×C3—41no—
546C22×C3—41no—
547C22×C3—41no—
548C22×C3—41no—
549C22×C3—41no—
550C22×C3—41no—
551C22×C3—41no—
552C22×C3—41no—
553C22×C3—41no—
554C22×C3—41no—
555C22×C3—41no—
556C22×C3—41no—
557C22×C3—81no—
558C22×C3—81no—
559C22×C3—81no—
560C22×C3—81no—
561C22×C3C4×D1211yescharacteristic
562C22×C3#67⋊C411yescharacteristic
563C22×C3#88211yescharacteristic
564C22×C3#88311yescharacteristic
565C22×C3D3×C4⋊C411yescharacteristic
566C22×C3D3×C4⋊C411yescharacteristic
567C22×C3#89311yescharacteristic
568C22×C3#89411yescharacteristic
569C22×C3#89611yescharacteristic
570C22×C3#89611yescharacteristic
571C22×C3#89711yescharacteristic
572C22×C3C4×#6711yescharacteristic
573C22×C3#93711yescharacteristic
574C22×C3#94611yescharacteristic
575C2×D3—64no—
576C2×D3—62no—
577C2×D3—62no—
578C2×D3—122no—
579C2×D3—122no—
580C2×D3—121no—
581C2×D3—121no—
582C2×D3—121no—
583C2×D3—121no—
584C2×D3—122no—
585C2×D3—122no—
586C2×D3—242no—
587C2×D3—241no—
588C2×D3—241no—
589C2×D3—242no—
590C3×C4—42no—
591C3×C4—42no—
592C3×C4—41no—
593C3×C4—41no—
594C3×C4—41no—
595C3×C4—41no—
596C3×C4—122no—
597C3×C4—122no—
598C3×C4—122no—
599C3×C4—241no—
600Dic3—42no—
601Dic3—42no—
602Dic3—42no—
603Dic3—64no—
604Dic3—62no—
605Dic3—62no—
606Dic3—81no—
607Dic3—122no—
608Dic3—122no—
609Dic3—121no—
610Dic3—121no—
611Dic3—121no—
612Dic3—121no—
613C32#186711yescharacteristic, complemented, Sylow
614C23—41no—
615C23—41no—
616C23—92no—
617C23—181no—
618C23—181no—
619C23—361no—
620C23—361no—
621C23#379611yescharacteristic
622C23#379711yescharacteristic
623C23#379811yescharacteristic
624C23C4×D3211yescharacteristic
625C23C2×#62611yescharacteristic
626C23#381111yescharacteristic
627C23#381111yescharacteristic
628D4—182no—
629D4—182no—
630D4—182no—
631D4—182no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—62no—
637C2×C4—62no—
638C2×C4—62no—
639C2×C4—62no—
640C2×C4—62no—
641C2×C4—92no—
642C2×C4—121no—
643C2×C4—121no—
644C2×C4—121no—
645C2×C4—121no—
646C2×C4—121no—
647C2×C4—121no—
648C2×C4—121no—
649C2×C4—121no—
650C2×C4—121no—
651C2×C4—121no—
652C2×C4—121no—
653C2×C4—181no—
654C2×C4—181no—
655C2×C4—181no—
656C2×C4—181no—
657C2×C4—361no—
658C2×C4—361no—
659C2×C4—721no—
660C2×C4—721no—
661C2×C3—21no—
662C2×C3—21no—
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—21no—
673C2×C3—21no—
674C2×C3—21no—
675C2×C3—21no—
676C2×C3—41no—
677C2×C3—41no—
678C2×C3—41no—
679C2×C3—41no—
680C2×C3—41no—
681C2×C3—41no—
682C2×C3#466811yescharacteristic
683C2×C3#474111yescharacteristic
684C2×C3#474211yescharacteristic
685C2×C3#498911yescharacteristic
686C2×C3#503211yescharacteristic
687C2×C3#505311yescharacteristic
688D3—124no—
689D3—122no—
690D3—122no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—182no—
702C22—362no—
703C22—361no—
704C22—361no—
705C22—721no—
706C22#6385311yescharacteristic
707C22#6386511yescharacteristic
708C22#6387111yescharacteristic
709C22#6388111yescharacteristic
710C22#6388311yescharacteristic
711C22C4×#62611yescharacteristic
712C22#6398111yescharacteristic
713C4—41no—
714C4—41no—
715C4—122no—
716C4—122no—
717C4—122no—
718C4—182no—
719C4—241no—
720C4—361no—
721C4—361no—
722C3—21no—
723C3#6896111yescharacteristic, complemented
724C3#6959511yescharacteristic, complemented
725C2—21no—
726C2—21no—
727C2—21no—
728C2—21no—
729C2—21no—
730C2—21no—
731C2—362no—
732C2#1059129011yescharacteristic
733C2#1059153211yescharacteristic
734C2#1059153511yescharacteristic
subgroupG/H
centerC22#63981
commutatorC23×C32C22×C4
FrattiniC24C2×D32
FittingC2×C32×C22⋊C4C22
socleC22×C32#120
prime radicalC22×#638C22
cosocleC24×C32C23
hypercenterC2×C22⋊C4D32
hypocenterC32#1867
LCSG ▷ C23×C32 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C24 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C3×#4946C2semidirect
3. #10591718C2semidirect
6. C3×#4526C2semidirect
7. #10589187C2semidirect
27. #63581C4semidirect
40. #4946D3semidirect
44. #4526D3semidirect
81. C3×#217C2×C4semidirect
82. C3×#217C2×C4semidirect
149. C22×C3⋊D3C4⋊C4semidirect
164. C2×C3⋊Dic3C4⋊C4semidirect
272. #217C4×D3semidirect
273. #217C4×D3semidirect
613. C32#1867semidirect
723. C3#68961semidirect
724. C3#69595semidirect

Maximal subgroups

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

subgroupindex
#105959572
C3×#49462
#105917182
#105917112
C2×#635812
C3×#45262
#105891872
#695953
#689613