Finite Group Databasebeta

← #14813520

Subgroups — #14813520

Order 2816.

938 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622348C211yesmaximal, characteristic, complemented
2C2×#10622494C211yesmaximal, characteristic, complemented
3#13072058C211yesmaximal, characteristic
4#13071547C211yesmaximal, characteristic, complemented
5#13070134C211yesmaximal, characteristic, complemented
6#13070102C211yesmaximal, characteristic, complemented
7#13069798C211yesmaximal, characteristic, complemented
8#13069241C211yesmaximal, characteristic, complemented
9#13069200C211yesmaximal, characteristic, complemented
10#13069053C211yesmaximal, characteristic, complemented
11#13068937C211yesmaximal, characteristic, complemented
12#13068910C211yesmaximal, characteristic, complemented
13#13068810C211yesmaximal, characteristic, complemented
14#13068808C211yesmaximal, characteristic, complemented
15C11×#2075C211yesmaximal, characteristic, complemented
16C2×#66983C2211yescharacteristic
17C2×C4×C22⋊D11C2211yescharacteristic
18C22×C4⋊Dic11C2211yescharacteristic
19C22×#4313C2211yescharacteristic
20C2×#66948C2211yescharacteristic
21C2×#66945C2211yescharacteristic
22C2×C4⋊C4×D11C2211yescharacteristic
23C2×#66937—21no—
24C2×C11×#107C2211yescharacteristic
25C2×C11×C22⋊C8C2211yescharacteristic
26C11×#380C2211yescharacteristic
27C11×#380C2211yescharacteristic
28C2×C22⋊(C11⋊C8)C2211yescharacteristic
29C2×#66885C2211yescharacteristic
30C2×#66885C2211yescharacteristic
31C2×(C2×D11)⋊C8C2211yescharacteristic
32C2×#66881C2211yescharacteristic
33C2×#66881C2211yescharacteristic
34#10622601C2211yescharacteristic
35#10622600C2211yescharacteristic
36#10622590C2211yescharacteristic
37C4⋊C4×Dic11C2211yescharacteristic
38#10622586C2211yescharacteristic
39C2×#66873C2211yescharacteristic
40C2×#66873C2211yescharacteristic
41C2×#66872C2211yescharacteristic
42C2×#66872C2211yescharacteristic
43C2×#66871C2211yescharacteristic
44#10622572—21no—
45#10622571—21no—
46C22⋊C4×Dic11—21no—
47#10622494—24no—
48#10622348—24no—
49#10622289—21no—
50#10622283—21no—
51#10622278—21no—
52#10622268—21no—
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C22×C22⋊D11—21no—
63C22×C22⋊D11D411yescharacteristic
64C23×Dic11—21no—
65C22×D44—21no—
66C22×D44C2311yescharacteristic
67C22×C4×D11—21no—
68C22×C4×D11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C2×C11×C4⋊C4C2311yescharacteristic
72C2×C11×C4⋊C4C2311yescharacteristic
73C2×C11×C4⋊C4C2311yescharacteristic
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C22⋊C4—21no—
76C2×C11×C22⋊C4—21no—
77C2×C22⋊Dic11D411yescharacteristic
78#66983—22no—
79#66983—41no—
80C4×C22⋊D11—22no—
81C4×C22⋊D11—22no—
82C2×(C2×D11)⋊C4—21no—
83C2×(C2×D11)⋊C4—21no—
84C2×(C2×D11)⋊C4—21no—
85C2×(C2×D11)⋊C4—21no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4D411yescharacteristic
89C2×C4⋊Dic11—22no—
90C2×C4⋊Dic11—21no—
91C2×C4⋊Dic11—41no—
92C2×C4⋊Dic11C2311yescharacteristic
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×Dic11⋊C4—21no—
96C2×Dic11⋊C4—21no—
97C2×Dic11⋊C4D411yescharacteristic
98C2×C4×Dic11—21no—
99C2×C4×Dic11—21no—
100C2×C4×Dic11C2311yescharacteristic
101C22×C11⋊C8C2311yescharacteristic
102C22×C11⋊C8C2311yescharacteristic
103C2×#4313—22no—
104C2×#4313—22no—
105C2×#4313—22no—
106#66948—22no—
107#66948—22no—
108#66945—22no—
109#66945—41no—
110C4⋊C4×D11—22no—
111C4⋊C4×D11—41no—
112#66937—44no—
113C11×#107—22no—
114C11×C22⋊C8—22no—
115C11×#95—21no—
116C11×#95—21no—
117C11⋊#95—21no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C22⋊(C11⋊C8)—22no—
123#66885—22no—
124#66885—22no—
125(C2×D11)⋊C8—22no—
126#66881—22no—
127#66881D414yescomplemented
128#66873—22no—
129#66873—41no—
130#66872—22no—
131#66872—41no—
132#66871—22no—
133#26143—111nomaximal, Sylow
134C24×C11C2×D411yescharacteristic
135C23×D11—21no—
136C23×D11C2×D411yescharacteristic
137C22×C4×C11—21no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11C2×D411yescharacteristic
148C22×C4×C11C2411yescharacteristic
149C2×C22⋊D11—22no—
150C2×C22⋊D11—22no—
151C2×C22⋊D11—41no—
152C2×C22⋊D11—42no—
153C2×C22⋊D11—42no—
154C2×C22⋊D11—81no—
155C22×Dic11—21no—
156C22×Dic11—21no—
157C22×Dic11—21no—
158C22×Dic11—42no—
159C22×Dic11—42no—
160C22×Dic11—81no—
161C22×Dic11C2×D411yescharacteristic
162C22×Dic11C2×D411yescharacteristic
163C22×Dic11C2×D411yescharacteristic
164C2×D44—21no—
165C2×D44—21no—
166C2×D44—21no—
167C2×D44—21no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—42no—
171C2×D44—42no—
172C2×D44—42no—
173C2×C4×D11—21no—
174C2×C4×D11—21no—
175C2×C4×D11—21no—
176C2×C4×D11—21no—
177C2×C4×D11—42no—
178C2×C4×D11—42no—
179C2×C4×D11—81no—
180C2×C4×D11#4112yes—
181C2×C4×D11#4112yes—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11C2×D412yes—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C22⋊C4—42no—
197C11×C22⋊C4—42no—
198C22⋊Dic11—22no—
199(C2×D11)⋊C4—22no—
200(C2×D11)⋊C4—42no—
201(C2×D11)⋊C4—42no—
202(C2×D11)⋊C4—42no—
203(C2×D11)⋊C4—42no—
204(C2×D11)⋊C4—81no—
205(C2×D11)⋊C4—81no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—42no—
211C4⋊Dic11C2×D412yes—
212C4⋊Dic11C2×D412yes—
213Dic11⋊C4—22no—
214Dic11⋊C4—42no—
215Dic11⋊C4—42no—
216C4×Dic11—21no—
217C4×Dic11—21no—
218C4×Dic11—42no—
219C4×Dic11—81no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8#4112yes—
226#4313—28no—
227C2×#481—111no—
228C2×#428—111no—
229#2416—111no—
230#2352—111no—
231#2092—111no—
232#2085—111no—
233#2075D1111yescharacteristic, complemented
234#2033—111no—
235#1926—111no—
236#1920—111no—
237#1895—111no—
238#1875—111no—
239#1870—111no—
240#1853—111no—
241#1853—111no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11AGL(1,ℤ/8)12yes—
249C23×C11C22×D411yescharacteristic
250C22×D11—21no—
251C22×D11—21no—
252C22×D11—21no—
253C22×D11—21no—
254C22×D11—21no—
255C22×D11—21no—
256C22×D11—41no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11#12312yes—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11C22×D411yescharacteristic
284C2×C4×C11C2×#4111yescharacteristic
285C2×C4×C11C2×#4111yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11H(5,𝔽2)11yescharacteristic
288C2×C4×C112−1+411yescharacteristic
289C22⋊D11—44no—
290C22⋊D11—84no—
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—22no—
296C2×Dic11—22no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—84no—
309C2×Dic11#12312yes—
310D44—41no—
311D44—41no—
312D44—41no—
313D44—41no—
314D44—84no—
315C4×D11—22no—
316C4×D11—22no—
317C4×D11—22no—
318C4×D11—22no—
319C4×D11—84no—
320C8×C11—22no—
321C8×C11—41no—
322C11⋊C8—22no—
323C11⋊C8—41no—
324C22×M16—111no—
325C2×#121—111no—
326C2×#121—111no—
327C2×#121—221no—
328C2×C4×D4—111no—
329C2×#117—111no—
330C22×C4⋊C4—111no—
331C22×C4⋊C4—111no—
332#481—224no—
333#428—224no—
334C2×#107—111no—
335C2×#107C2×D1111yescharacteristic
336C2×#106—111no—
337C2×#106—111no—
338C2×#106—111no—
339C2×#106—111no—
340C2×#102—111no—
341C2×#102—111no—
342C2×#102—111no—
343C2×#102—111no—
344C2×C22⋊C8—111no—
345C2×C22⋊C8—111no—
346C2×C22⋊C8C2×D1111yescharacteristic
347#396—221no—
348#394—221no—
349#390—111no—
350#389—111no—
351#388—221no—
352#387—221no—
353#386—221no—
354#386—221no—
355#382—111no—
356#380—111no—
357#380C2×D1111yescharacteristic
358#380C2×D1111yescharacteristic
359C4×C4⋊C4—111no—
360C4×C22⋊C4—221no—
361#340—111no—
362#340—111no—
363#340—111no—
364#340C2×D1111yescharacteristic
365#340C2×D1111yescharacteristic
366#340C2×D1111yescharacteristic
367#336—111no—
368#336—111no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11C2×#12311yescharacteristic
377C22×C11D4211yescharacteristic
378C22×C11#54711yescharacteristic
379C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
380C22×C11#57511yescharacteristic
381C22×C11#57711yescharacteristic
382C22×C11#57711yescharacteristic
383C2×D11—22no—
384C2×D11—22no—
385C2×D11—22no—
386C2×D11—41no—
387C2×D11—41no—
388C2×D11—41no—
389C2×D11—41no—
390C2×D11—81no—
391C2×D11—81no—
392C2×D11—81no—
393C2×D11—81no—
394C2×D11—81no—
395C2×D11—81no—
396C2×D11—81no—
397C4×C11—41no—
398C4×C11—81no—
399C4×C11—81no—
400C4×C11—81no—
401C4×C11—81no—
402C4×C11#52511yescharacteristic
403C4×C11#53911yescharacteristic
404C4×C11#54811yescharacteristic
405C4×C11#55311yescharacteristic
406Dic11—22no—
407Dic11—41no—
408Dic11—41no—
409Dic11—42no—
410Dic11—42no—
411Dic11—81no—
412C22×D4—111no—
413C22×D4—111no—
414C22×D4—221no—
415C22×D4—221no—
416C23×C4—111no—
417C23×C4—221no—
418C23×C4—221no—
419C23×C4C22×D1111yescharacteristic
420C2×M16—222no—
421C2×M16—222no—
422C2×M16—222no—
423C22×C8—111no—
424C22×C8—111no—
425C22×C8C22×D1111yescharacteristic
426C22×C8C22×D1111yescharacteristic
427#121—222no—
428#121—222no—
429#121—222no—
430#121—444no—
431#121—441no—
432C4×D4—222no—
433C4×D4—222no—
434#117—222no—
435#117—441no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—222no—
441C2×C4⋊C4—222no—
442C2×C4⋊C4—221no—
443C2×C4⋊C4—221no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—441no—
446C2×C4⋊C4—441no—
447C2×C4⋊C4C22×D1111yescharacteristic
448C2×C4⋊C4C22×D1111yescharacteristic
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C4⋊C4C22×D1111yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—111no—
454C2×C22⋊C4—111no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4—221no—
460C2×C22⋊C4—221no—
461C2×C42—111no—
462C2×C42—221no—
463C2×C42—221no—
464#107—22no—
465#107—222no—
466#106—114no—
467#106—222no—
468#106—222no—
469#106—441no—
470#102—222no—
471#102—222no—
472#102—222no—
473#102—441no—
474C22⋊C8—22no—
475C22⋊C8—222no—
476C22⋊C8—222no—
477#95—21no—
478#95—21no—
479#95—221no—
480#95—221no—
481#95—221no—
482#95—221no—
483#95—221no—
484C2×C11—42no—
485C2×C11#244311yescharacteristic
486C2×C11#309411yescharacteristic
487C2×C11#309911yescharacteristic
488C2×C11#326511yescharacteristic
489C2×C11#327511yescharacteristic
490C2×C11#334511yescharacteristic
491C2×C11#335111yescharacteristic
492D11—42no—
493D11—161no—
494C24—111no—
495C24—221no—
496C24D4×D1111yescharacteristic
497C2×D4—222no—
498C2×D4—222no—
499C2×D4—221no—
500C2×D4—221no—
501C2×D4—221no—
502C2×D4—221no—
503C2×D4—221no—
504C2×D4—221no—
505C2×D4—442no—
506C2×D4—442no—
507C2×D4—442no—
508C2×D4—441no—
509C2×D4—442no—
510C2×D4—442no—
511C2×D4—881no—
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—21no—
522C22×C4—111no—
523C22×C4—112no—
524C22×C4—112no—
525C22×C4—111no—
526C22×C4—111no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—221no—
532C22×C4—221no—
533C22×C4—221no—
534C22×C4—442no—
535C22×C4—442no—
536C22×C4—442no—
537C22×C4—442no—
538C22×C4—881no—
539C22×C4—881no—
540C22×C4D4×D1111yescharacteristic
541C22×C4C23×D1111yescharacteristic
542M16—228no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—112no—
549C2×C8—221no—
550C2×C8—221no—
551C2×C8—221no—
552C2×C8—221no—
553C2×C8—221no—
554C2×C8D4×D1112yes—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—112no—
564C4⋊C4—112no—
565C4⋊C4—222no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—442no—
571C4⋊C4—442no—
572C4⋊C4—442no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—222no—
576C22⋊C4—222no—
577C22⋊C4—442no—
578C22⋊C4—442no—
579C22⋊C4—442no—
580C22⋊C4—442no—
581C22⋊C4—881no—
582C22⋊C4—881no—
583C42—221no—
584C42—221no—
585C42—442no—
586C42—881no—
587C11#2614311yescharacteristic, complemented, Sylow
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—112no—
595C23—221no—
596C23—221no—
597C23—221no—
598C23—221no—
599C23—221no—
600C23—221no—
601C23—441no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23—441no—
606C23—441no—
607C23—441no—
608C23#6696412yes—
609C23C2×D4×D1111yescharacteristic
610D4—444no—
611D4—441no—
612D4—441no—
613D4—441no—
614D4—441no—
615D4—884no—
616D4—884no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
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—112no—
637C2×C4—221no—
638C2×C4—221no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—221no—
644C2×C4—221no—
645C2×C4—221no—
646C2×C4—221no—
647C2×C4—222no—
648C2×C4—222no—
649C2×C4—221no—
650C2×C4—221no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—884no—
659C2×C4—884no—
660C2×C4C2×D4×D1111yescharacteristic
661C2×C4#41×D1111yescharacteristic
662C2×C4#41×D1111yescharacteristic
663C2×C4#41×D1111yescharacteristic
664C2×C4#6704211yescharacteristic
665C2×C4#6704311yescharacteristic
666C8—22no—
667C8—41no—
668C8—222no—
669C8—441no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—222no—
678C22—222no—
679C22—222no—
680C22—441no—
681C22—441no—
682C22—441no—
683C22—441no—
684C22—881no—
685C22—881no—
686C22—881no—
687C22—881no—
688C22—881no—
689C22—881no—
690C22—881no—
691C22#1062314011yescharacteristic
692C22D11×#12311yescharacteristic
693C22#1062318611yescharacteristic
694C22C2×#6696411yescharacteristic
695C22#1062330111yescharacteristic
696C22#1062330811yescharacteristic
697C22#1062330911yescharacteristic
698C4—41no—
699C4—81no—
700C4—81no—
701C4—81no—
702C4—81no—
703C4—222no—
704C4—441no—
705C4—442no—
706C4—441no—
707C4—442no—
708C4—881no—
709C4#1062318711yescharacteristic
710C4#1062320811yescharacteristic
711C4#1062323811yescharacteristic
712C4#1062324011yescharacteristic
713C2—42no—
714C2—442no—
715C2—1761no—
716C2#1307234611yescharacteristic
717C2#1307855111yescharacteristic
718C2#1307860211yescharacteristic
719C2#1308010811yescharacteristic
720C2#1308024411yescharacteristic
721C2#1308109011yescharacteristic
722C2#1308117411yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2075C2
socleC23×C11C22×D4
prime radical#13072058C2
hypercenter#2075D11
hypocenterC11#26143
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2075

Complements

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

NH ≅ G/Ntype
1. C2×#10622348C2semidirect
2. C2×#10622494C2semidirect
4. #13071547C2semidirect
5. #13070134C2semidirect
6. #13070102C2semidirect
7. #13069798C2semidirect
8. #13069241C2semidirect
9. #13069200C2semidirect
10. #13069053C2semidirect
11. #13068937C2semidirect
12. #13068910C2semidirect
13. #13068810C2semidirect
14. #13068808C2semidirect
15. C11×#2075C2semidirect
127. #66881D4semidirect
233. #2075D11semidirect
587. C11#26143semidirect

Maximal subgroups

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

subgroupindex
C2×#106223482
C2×#106224942
#130720582
#130715472
#130701342
#130701022
#130697982
#130692412
#130692002
#130690532
#130689372
#130689102
#130688102
#130688082
C11×#20752
#2614311