Finite Group Databasebeta

← #29739956

Subgroups — #29739956

Order 15616.

896 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840083C211yesmaximal, characteristic, complemented
2C2×#16839805C211yesmaximal, characteristic, complemented
3#21448748C211yesmaximal, characteristic, complemented
4#21447340C211yesmaximal, characteristic, complemented
5#21447300C211yesmaximal, characteristic, complemented
6#21447255C211yesmaximal, characteristic, complemented
7#21446998C211yesmaximal, characteristic, complemented
8#21446443C211yesmaximal, characteristic, complemented
9#21446387C211yesmaximal, characteristic, complemented
10#21446258C211yesmaximal, characteristic, complemented
11#21446137C211yesmaximal, characteristic, complemented
12#21446117C211yesmaximal, characteristic, complemented
13#21446018C211yesmaximal, characteristic, complemented
14#21446016C211yesmaximal, characteristic, complemented
15C61×#2414C211yesmaximal, characteristic
16C22×#11758194C2211yescharacteristic
17C2×#14519736C2211yescharacteristic
18C22×C4⋊Dic61C2211yescharacteristic
19#16840083—24no—
20#16839805—24no—
21C2×#14519710C2211yescharacteristic
22C2×#14519710C2211yescharacteristic
23C2×#14519710C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26C2×#14519708C2211yescharacteristic
27C2×#14519698C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×C22⋊#92418C2211yescharacteristic
32C2×C22⋊#92418C2211yescharacteristic
33C2×C22⋊#92418C2211yescharacteristic
34#16839655—21no—
35#16839648—21no—
36#16839642—21no—
37#16839628C2211yescharacteristic
38#16839622C2211yescharacteristic
39#16839622C2211yescharacteristic
40C4×C4⋊Dic61C2211yescharacteristic
41C22⋊C4×Dic61—21no—
42#16839524C2211yescharacteristic
43#16839524C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C2×#121×C61C2211yescharacteristic
51C2×#121×C61C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic
53C2×#117×C61C2211yescharacteristic
54C61×#394—21no—
55C61×#392—21no—
56C61×#390—21no—
57C61×#390C2211yescharacteristic
58C61×#389C2211yescharacteristic
59C61×#388—21no—
60C61×#380C2211yescharacteristic
61C23×Dic61—21no—
62C2×#11758194—22no—
63C2×#11758194—22no—
64C2×#11758194—22no—
65C22×#92418C2311yescharacteristic
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69#14519736—22no—
70#14519736—41no—
71C2×C4⋊Dic61—22no—
72C2×C4⋊Dic61—21no—
73C2×C4⋊Dic61—41no—
74C2×C4⋊Dic61C2311yescharacteristic
75C2×C4⋊Dic61C2311yescharacteristic
76C2×C4⋊Dic61C2311yescharacteristic
77C2×C4⋊Dic61C2311yescharacteristic
78C2×C22⋊Dic61—21no—
79C2×C22⋊Dic61—21no—
80C2×C22⋊Dic61—21no—
81C2×C4×Dic61—21no—
82C2×C4×Dic61—21no—
83#14519710—22no—
84#14519710—41no—
85#14519710D414yescomplemented
86#14519708—22no—
87#14519708—22no—
88#14519708—22no—
89#14519698—22no—
90#14519698—22no—
91#14519698—22no—
92#14519698—41no—
93C22⋊#92418—22no—
94C22⋊#92418—22no—
95C22⋊#92418—22no—
96#14519684—21no—
97#14519684—21no—
98#14519684—21no—
99#14519684—21no—
100#14519684—21no—
101C22×D4×C61—21no—
102C22×D4×C61—21no—
103C22×D4×C61D411yescharacteristic
104C22×D4×C61C2311yescharacteristic
105C23×C4×C61C2311yescharacteristic
106C23×C4×C61C2311yescharacteristic
107#121×C61—22no—
108#121×C61—22no—
109#121×C61—22no—
110#121×C61—41no—
111C4×D4×C61—22no—
112C4×D4×C61—22no—
113#117×C61—22no—
114#117×C61—41no—
115C2×C4⋊C4×C61—21no—
116C2×C4⋊C4×C61D411yescharacteristic
117C2×C4⋊C4×C61C2311yescharacteristic
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C22⋊C4×C61—21no—
121C2×C22⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61D411yescharacteristic
127C2×C22⋊C4×C61D411yescharacteristic
128C2×C42×C61—21no—
129C2×C42×C61C2311yescharacteristic
130#95×C61—21no—
131#95×C61—21no—
132C24×C61—21no—
133C24×C61C2×D411yescharacteristic
134C24×C61C2×D411yescharacteristic
135C2×D4×C61—22no—
136C2×D4×C61—21no—
137C2×D4×C61—21no—
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—41no—
143C2×D4×C61—41no—
144C2×D4×C61—42no—
145C2×D4×C61—42no—
146C2×D4×C61—42no—
147C2×D4×C61—81no—
148C2×D4×C61—81no—
149C2×D4×C61—81no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61—21no—
162C22×C4×C61—21no—
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61#4112yes—
168C22×C4×C61#4112yes—
169C22×C4×C61C2411yescharacteristic
170C22×Dic61—21no—
171C22×Dic61—21no—
172C22×Dic61—21no—
173C22×Dic61—21no—
174C22×Dic61—42no—
175C22×Dic61—42no—
176C22×Dic61—81no—
177C4⋊C4×C61—22no—
178C4⋊C4×C61—21no—
179C4⋊C4×C61—21no—
180C4⋊C4×C61—21no—
181C4⋊C4×C61—21no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—81no—
184C4⋊C4×C61C2×D412yes—
185C22⋊C4×C61—22no—
186C22⋊C4×C61—22no—
187C22⋊C4×C61—42no—
188C22⋊C4×C61—42no—
189C22⋊C4×C61—42no—
190C22⋊C4×C61—42no—
191C22⋊C4×C61—81no—
192C22⋊C4×C61—81no—
193C42×C61—21no—
194C42×C61—21no—
195C42×C61—42no—
196C22⋊Dic61—42no—
197C22⋊Dic61—42no—
198C22⋊Dic61—81no—
199C4⋊Dic61—21no—
200C4⋊Dic61—21no—
201C4⋊Dic61—21no—
202C4⋊Dic61—21no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—42no—
207C4⋊Dic61C2×D412yes—
208C4×Dic61—42no—
209C4×Dic61—81no—
210#11758194—28no—
211C2×#92418—21no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418C2×D412yes—
222C2×#92418#4112yes—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61#12312yes—
244C23×C61C22×D411yescharacteristic
245D4×C61—44no—
246D4×C61—41no—
247D4×C61—41no—
248D4×C61—41no—
249D4×C61—41no—
250D4×C61—84no—
251D4×C61—84no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—22no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61#12312yes—
281C2×C4×C61C22×D411yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61H(5,𝔽2)11yescharacteristic
286C2×C4×C612−1+411yescharacteristic
287C2×Dic61—22no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—84no—
300#92418—22no—
301#92418—22no—
302#92418—41no—
303#92418—41no—
304#26156—611nomaximal, Sylow
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—22no—
308C22×C61—41no—
309C22×C61—41no—
310C22×C61—41no—
311C22×C61—41no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—81no—
320C22×C61—81no—
321C22×C61—81no—
322C22×C61—81no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61C2×#12311yescharacteristic
327C22×C61D4211yescharacteristic
328C22×C61#54711yescharacteristic
329C22×C61#57511yescharacteristic
330C22×C61#57511yescharacteristic
331C22×C61#57611yescharacteristic
332C22×C61#57711yescharacteristic
333C4×C61—22no—
334C4×C61—41no—
335C4×C61—41no—
336C4×C61—41no—
337C4×C61—42no—
338C4×C61—81no—
339C4×C61—81no—
340C4×C61#52511yescharacteristic
341C4×C61#53911yescharacteristic
342C4×C61#54811yescharacteristic
343C4×C61#55311yescharacteristic
344Dic61—42no—
345Dic61—81no—
346Dic61—81no—
347Dic61—81no—
348C2×#482—611no—
349C2×#428—611no—
350#2414D6111yescharacteristic
351#2352—611no—
352#2092—611no—
353#2085—611no—
354#2077—611no—
355#2033—611no—
356#1926—611no—
357#1918—611no—
358#1895—611no—
359#1874—611no—
360#1870—611no—
361#1854—611no—
362#1854—611no—
363C2×C61—42no—
364C2×C61—81no—
365C2×C61—161no—
366C2×C61#244311yescharacteristic
367C2×C61#309311yescharacteristic
368C2×C61#309611yescharacteristic
369C2×C61#327111yescharacteristic
370C2×C61#327311yescharacteristic
371C2×C61#334711yescharacteristic
372C2×C61#335111yescharacteristic
373C22×M16—611no—
374C2×#121C2×D6111yescharacteristic
375C2×#121C2×D6111yescharacteristic
376C2×C4×D4C2×D6111yescharacteristic
377C2×#117—611no—
378C2×#117C2×D6111yescharacteristic
379C22×C4⋊C4—611no—
380#482—1224no—
381#428—1224no—
382C2×#107—611no—
383C2×#107—611no—
384C2×#107—611no—
385C2×#106—611no—
386C2×#106—611no—
387C2×#106—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×C22⋊C8—611no—
393C2×C22⋊C8—611no—
394C2×C22⋊C8—611no—
395#394—21no—
396#392—21no—
397#390—21no—
398#390C2×D6111yescharacteristic
399#389C2×D6111yescharacteristic
400#388—21no—
401#388—1221no—
402#387—1221no—
403#386—1221no—
404#382—611no—
405#380—611no—
406#380—611no—
407#380C2×D6111yescharacteristic
408C4×C4⋊C4—611no—
409C4×C22⋊C4—1221no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#336—611no—
417#336—611no—
418C61#2615611yescharacteristic, complemented, Sylow
419C22×D4—21no—
420C22×D4—21no—
421C22×D4C22⋊D6111yescharacteristic
422C22×D4C22×D6111yescharacteristic
423C23×C4—1221no—
424C23×C4C22×D6111yescharacteristic
425C23×C4C22×D6111yescharacteristic
426C2×M16—1222no—
427C2×M16—1222no—
428C2×M16—1222no—
429C22×C8—611no—
430C22×C8—611no—
431C22×C8—611no—
432C22×C8—611no—
433#121—22no—
434#121—22no—
435#121—22no—
436#121—41no—
437C4×D4—22no—
438C4×D4—22no—
439#117—22no—
440#117—41no—
441#117—1222no—
442#117—2441no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—611no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—1222no—
449C2×C4⋊C4—1221no—
450C2×C4⋊C4—2441no—
451C2×C4⋊C4C22⋊D6111yescharacteristic
452C2×C4⋊C4C22×D6111yescharacteristic
453C2×C4⋊C4C22×D6111yescharacteristic
454C2×C4⋊C4C22×D6111yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4C22⋊D6111yescharacteristic
465C2×C22⋊C4C22⋊D6111yescharacteristic
466C2×C42—21no—
467C2×C42—1221no—
468C2×C42—1221no—
469C2×C42C22×D6111yescharacteristic
470#107—614no—
471#107—1222no—
472#107—2441no—
473#106—1222no—
474#106—1222no—
475#106—1222no—
476#102—1222no—
477#102—1222no—
478#102—1222no—
479#102—2441no—
480C22⋊C8—1222no—
481C22⋊C8—1222no—
482C22⋊C8—1222no—
483#95—21no—
484#95—21no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490C24—21no—
491C24C2×C22⋊D6111yescharacteristic
492C24C2×C22⋊D6111yescharacteristic
493C2×D4—22no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—81no—
506C2×D4—81no—
507C2×D4—81no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—4881no—
526C22×C4—2442no—
527C22×C4—2442no—
528C22×C4#1175822412yes—
529C22×C4#1175822412yes—
530C22×C4C2×C22⋊D6111yescharacteristic
531C22×C4C2×C22⋊D6111yescharacteristic
532C22×C4C2×C22⋊D6111yescharacteristic
533C22×C4C2×C22⋊D6111yescharacteristic
534C22×C4C23×D6111yescharacteristic
535M16—1228no—
536C2×C8—612no—
537C2×C8—612no—
538C2×C8—1221no—
539C2×C8—1221no—
540C2×C8—1221no—
541C2×C8—1221no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C4⋊C4—21no—
549C4⋊C4—22no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—81no—
555C4⋊C4—612no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—2442no—
564C4⋊C4D4×D6112yes—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—81no—
572C22⋊C4—81no—
573C22⋊C4—4881no—
574C22⋊C4—2442no—
575C22⋊C4—2442no—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—4881no—
580C42—2442no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23#1451975812yes—
602C23C22×C22⋊D6111yescharacteristic
603D4—44no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—41no—
608D4—84no—
609D4—84no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—1222no—
639C2×C4—4884no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4#1451975812yes—
652C2×C4C2×D4×D6111yescharacteristic
653C2×C4#41×D6111yescharacteristic
654C2×C4C2×#1175822411yescharacteristic
655C2×C4C2×#1175822411yescharacteristic
656C2×C4#1451982211yescharacteristic
657C2×C4#1451982411yescharacteristic
658C8—1222no—
659C8—1222no—
660C8—2441no—
661C8—2441no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22C2×#1451975811yescharacteristic
684C22D4×C22⋊D6111yescharacteristic
685C22#1684041111yescharacteristic
686C22#1684056011yescharacteristic
687C22#1684056011yescharacteristic
688C22#1684056511yescharacteristic
689C22#1684057311yescharacteristic
690C4—22no—
691C4—42no—
692C4—41no—
693C4—41no—
694C4—41no—
695C4—81no—
696C4—81no—
697C4—4881no—
698C4—4881no—
699C4—4881no—
700C4—2442no—
701C4#1684027211yescharacteristic
702C4#1684035711yescharacteristic
703C4#1684041811yescharacteristic
704C4#1684045511yescharacteristic
705C2—42no—
706C2—81no—
707C2—161no—
708C2#2144955011yescharacteristic
709C2#2145574811yescharacteristic
710C2#2145577111yescharacteristic
711C2#2145740011yescharacteristic
712C2#2145742611yescharacteristic
713C2#2145831911yescharacteristic
714C2#2145837311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
Fitting, prime radicalC61×#2414C2
socleC23×C61C22×D4
hypercenter#2414D61
hypocenterC61#26156
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2414

Complements

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

NH ≅ G/Ntype
1. C2×#16840083C2semidirect
2. C2×#16839805C2semidirect
3. #21448748C2semidirect
4. #21447340C2semidirect
5. #21447300C2semidirect
6. #21447255C2semidirect
7. #21446998C2semidirect
8. #21446443C2semidirect
9. #21446387C2semidirect
10. #21446258C2semidirect
11. #21446137C2semidirect
12. #21446117C2semidirect
13. #21446018C2semidirect
14. #21446016C2semidirect
85. #14519710D4semidirect
418. C61#26156semidirect

Maximal subgroups

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

subgroupindex
C2×#168400832
C2×#168398052
#214487482
#214473402
#214473002
#214472552
#214469982
#214464432
#214463872
#214462582
#214461372
#214461172
#214460182
#214460162
C61×#24142
#2615661