Finite Group Databasebeta

← #14760435

Subgroups — #14760435

Order 2816.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622655C211yesmaximal, characteristic
2C2×C4×#4324C211yesmaximal, characteristic, complemented
3C2×#10622610C211yesmaximal, characteristic, complemented
4#13071298C211yesmaximal, characteristic, complemented
5#13069496C211yesmaximal, characteristic, complemented
6#13069351C211yesmaximal, characteristic, complemented
7#13069302C211yesmaximal, characteristic, complemented
8#13069291C211yesmaximal, characteristic, complemented
9#13069045C211yesmaximal, characteristic
10#13069037C211yesmaximal, characteristic, complemented
11#13068647C211yesmaximal, characteristic, complemented
12C4×#66871C211yesmaximal, characteristic, complemented
13#13068449C211yesmaximal, characteristic, complemented
14#13068441C211yesmaximal, characteristic, complemented
15C11×#2324C211yesmaximal, characteristic
16C2×C11×#121C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×C11×#117C2211yescharacteristic
19C22×#4324C2211yescharacteristic
20C2×#66977C2211yescharacteristic
21C22×#4318C2211yescharacteristic
22C23×C11⋊C8C2211yescharacteristic
23C2×C4×Dic22C2211yescharacteristic
24C11×#390—21no—
25C11×#390C2211yescharacteristic
26C11×#389C2211yescharacteristic
27C11×#388—21no—
28C11×#386—21no—
29C11×#385—21no—
30C11×#380C2211yescharacteristic
31C4×C11×C4⋊C4C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35#10622825C2211yescharacteristic
36#10622655C418yescomplemented
37C4×#4324—24no—
38#10622610—24no—
39#10622591—21no—
40#10622585—21no—
41C2×#66874C2211yescharacteristic
42C2×#66874C2211yescharacteristic
43C2×#66874C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47#10622558—21no—
48#10622557—21no—
49C4×C4⋊Dic11C2211yescharacteristic
50#10622542C2211yescharacteristic
51#10622541C2211yescharacteristic
52C2×#66867C2211yescharacteristic
53C2×#66867C2211yescharacteristic
54C2×C4×C11⋊C8C2211yescharacteristic
55C2×C4×C11⋊C8C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11—21no—
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×C4×C11C2311yescharacteristic
66C22×Dic22C2311yescharacteristic
67C11×#121—22no—
68C11×#121C2×C414yes—
69C4×D4×C11—22no—
70C4×D4×C11—22no—
71C11×#117—22no—
72C11×#117—22no—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4D411yescharacteristic
75C2×C11×C4⋊C4D411yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C22⋊C4—21no—
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4D411yescharacteristic
85C2×C11×C22⋊C4D411yescharacteristic
86C2×C42×C11—21no—
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91C2×#4324—22no—
92C2×#4324—22no—
93C2×#4324C2×C414yes—
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97#66977—22no—
98#66977C2×C414yescomplemented
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4—21no—
102C2×C4×Dic11—21no—
103C2×C4×Dic11—21no—
104C2×#4318—22no—
105C2×#4318—22no—
106C2×#4318C2×C414yescomplemented
107C22×C11⋊C8—22no—
108C22×C11⋊C8—22no—
109C22×C11⋊C8—22no—
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C4×Dic22—22no—
115C4×Dic22—22no—
116C11×#95—21no—
117C11×#95—21no—
118C11×#95—21no—
119#66896—22no—
120#66896—22no—
121#66896C2×C414yes—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127#66874—22no—
128#66874—22no—
129#66874C2×C414yescomplemented
130#66872—22no—
131#66871—22no—
132#66871C2×C414yescomplemented
133#66867—22no—
134#66867—22no—
135C4×C11⋊C8—22no—
136C4×C11⋊C8D414yescomplemented
137#21535—111nomaximal, Sylow
138C24×C11—21no—
139C24×C11C2×D411yescharacteristic
140C2×D4×C11—24no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—81no—
147C2×D4×C11—81no—
148C2×D4×C11C22×C412yes—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—42no—
157C22×C4×C11—81no—
158C22×C4×C11—81no—
159C22×C4×C11C22×C412yes—
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11#4112yes—
166C22×C4×C11C2411yescharacteristic
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C2×Dic22—21no—
172C2×Dic22—21no—
173C2×Dic22—21no—
174C2×Dic22—21no—
175C2×Dic22—21no—
176C2×Dic22C22×C412yes—
177C11×C4⋊C4—22no—
178C11×C4⋊C4—22no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—81no—
185C11×C4⋊C4C22×C412yes—
186C11×C22⋊C4—24no—
187C11×C22⋊C4—22no—
188C11×C22⋊C4—22no—
189C11×C22⋊C4—42no—
190C11×C22⋊C4—81no—
191C11×C22⋊C4—81no—
192C11×C22⋊C4—81no—
193C42×C11—21no—
194C42×C11—21no—
195C42×C11—81no—
196C42×C11C2×D412yes—
197C42×C11#4112yes—
198C22⋊Dic11—24no—
199C22⋊Dic11—81no—
200#4324—28no—
201C4⋊Dic11—21no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11C22×C412yes—
207Dic11⋊C4—24no—
208Dic11⋊C4—42no—
209Dic11⋊C4—81no—
210C4×Dic11—42no—
211C4×Dic11—81no—
212#4318—28no—
213C2×C11⋊C8—28no—
214C2×C11⋊C8—21no—
215C2×C11⋊C8—21no—
216C2×C11⋊C8—21no—
217C2×C11⋊C8—21no—
218C2×C11⋊C8—21no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8C22×C412yes—
221C2×C11⋊C8C22×C412yes—
222C2×C11⋊C8C2×D412yes—
223C2×C11⋊C8C2×D412yes—
224C2×C11⋊C8#4112yes—
225C2×C11⋊C8#4112yes—
226C2×#468—111no—
227C2×C4×SD16—111no—
228C2×#405—111no—
229#2324D1111yescharacteristic
230#2323—111no—
231#1973—111no—
232#1943—111no—
233#1934—111no—
234#1933—111no—
235#1893—111no—
236#1892—111no—
237#1809—111no—
238C4×#107—111no—
239#1763—111no—
240#1762—111no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—22no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11C4×D412yes—
255C23×C11C22×D411yescharacteristic
256D4×C11—22no—
257D4×C11—22no—
258D4×C11—41no—
259D4×C11—41no—
260D4×C11—84no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—84no—
287C2×C4×C11C4×D412yes—
288C2×C4×C11#12112yes—
289C2×C4×C11#12112yes—
290C2×C4×C11C23×C411yescharacteristic
291C2×C4×C11C22×D411yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11C2×#4111yescharacteristic
295C2×C4×C11C2×#4111yescharacteristic
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308Dic22—22no—
309Dic22—22no—
310Dic22—41no—
311Dic22—41no—
312C11⋊C8—22no—
313C11⋊C8—22no—
314C11⋊C8—22no—
315C11⋊C8C4×D414yes—
316C22×SD16—111no—
317C22×M16—111no—
318C23×C8—111no—
319C2×C22⋊Q8—111no—
320C2×#121C2×D1111yescharacteristic
321C2×C4×Q8—111no—
322C2×C4×D4C2×D1111yescharacteristic
323C2×#117C2×D1111yescharacteristic
324#468—118no—
325C4×SD16—224no—
326C2×#107—111no—
327C2×#107—111no—
328C2×#106—111no—
329C2×#103—111no—
330C2×#103—111no—
331C2×#103—111no—
332C2×#102—111no—
333C2×#102—111no—
334C2×#102—111no—
335#405—224no—
336C2×#97—111no—
337C2×#97—111no—
338C2×C4×C8—111no—
339C2×C4×C8—111no—
340#391—111no—
341#390—21no—
342#390C2×D1111yescharacteristic
343#389—111no—
344#389—221no—
345#389C2×D1111yescharacteristic
346#388—21no—
347#388—221no—
348#388—221no—
349#387—221no—
350#386—21no—
351#385—21no—
352#380—111no—
353#380C2×D1111yescharacteristic
354C4×C4⋊C4—111no—
355C4×C4⋊C4C2×D1111yescharacteristic
356#340—111no—
357#340—111no—
358#340—111no—
359#340—111no—
360#340—111no—
361#340—111no—
362C22×C11—22no—
363C22×C11—22no—
364C22×C11—22no—
365C22×C11—41no—
366C22×C11—41no—
367C22×C11—41no—
368C22×C11—41no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—42no—
372C22×C11—81no—
373C22×C11—81no—
374C22×C11—81no—
375C22×C11—81no—
376C22×C11C2×C4×D411yescharacteristic
377C22×C11C2×#12111yescharacteristic
378C22×C11#53211yescharacteristic
379C22×C11#57611yescharacteristic
380C22×C11#57711yescharacteristic
381C22×C11#57711yescharacteristic
382C22×C11#57811yescharacteristic
383C4×C11—22no—
384C4×C11—22no—
385C4×C11—22no—
386C4×C11—42no—
387C4×C11—41no—
388C4×C11—41no—
389C4×C11—81no—
390C4×C11—81no—
391C4×C11C2×C4×D411yescharacteristic
392C4×C11C4×#4111yescharacteristic
393C4×C11#52511yescharacteristic
394C4×C11#52911yescharacteristic
395Dic11—42no—
396Dic11—42no—
397Dic11—81no—
398Dic11—81no—
399C22×Q8—111no—
400C22×D4—21no—
401C22×D4C22×D1111yescharacteristic
402C23×C4—21no—
403C23×C4C22×D1111yescharacteristic
404C2×SD16—114no—
405C2×SD16—222no—
406C2×SD16—222no—
407C2×M16—114no—
408C2×M16—222no—
409C2×M16—222no—
410C22×C8—111no—
411C22×C8—111no—
412C22×C8—111no—
413C22×C8—111no—
414C22×C8—222no—
415C22×C8—222no—
416C22×C8—222no—
417C22⋊Q8—114no—
418C22⋊Q8—222no—
419#121—22no—
420#121C4×D1114yes—
421C4×Q8—222no—
422C4×Q8—222no—
423C4×D4—22no—
424C4×D4—22no—
425#117—22no—
426#117—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—111no—
429C2×C4⋊C4—111no—
430C2×C4⋊C4—111no—
431C2×C4⋊C4—221no—
432C2×C4⋊C4—221no—
433C2×C4⋊C4—221no—
434C2×C4⋊C4C22⋊D1111yescharacteristic
435C2×C4⋊C4C22⋊D1111yescharacteristic
436C2×C4⋊C4C22×D1111yescharacteristic
437C2×C4⋊C4C22×D1111yescharacteristic
438C2×C4⋊C4C22×D1111yescharacteristic
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—221no—
445C2×C22⋊C4—221no—
446C2×C22⋊C4C22⋊D1111yescharacteristic
447C2×C22⋊C4C22⋊D1111yescharacteristic
448C2×C42—21no—
449C2×C42—221no—
450C2×C42—221no—
451C2×C42C22×D1111yescharacteristic
452C2×C42C22×D1111yescharacteristic
453#107—114no—
454#107—222no—
455#106—222no—
456#103—114no—
457#103—222no—
458#103—222no—
459#102—114no—
460#102—222no—
461#102—222no—
462#97—222no—
463#97—222no—
464C4×C8—114no—
465C4×C8—222no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—221no—
470#95—221no—
471#95—221no—
472#95—221no—
473#95—221no—
474C2×C11—42no—
475C2×C11—82no—
476C2×C11C4×#12111yescharacteristic
477C2×C11#294611yescharacteristic
478C2×C11#294711yescharacteristic
479C2×C11#305711yescharacteristic
480C2×C11#306111yescharacteristic
481C2×C11#317811yescharacteristic
482C2×C11#317911yescharacteristic
483C24—21no—
484C24C2×C22⋊D1111yescharacteristic
485C2×Q8—112no—
486C2×Q8—221no—
487C2×Q8—221no—
488C2×Q8—221no—
489C2×Q8—221no—
490C2×Q8—221no—
491C2×D4—24no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—81no—
498C2×D4—81no—
499C2×D4C2×C4×D1112yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—221no—
511C22×C4—221no—
512C22×C4—221no—
513C22×C4—221no—
514C22×C4C2×C4×D1112yes—
515C22×C4#433912yes—
516C22×C4C2×C22⋊D1111yescharacteristic
517C22×C4C2×C22⋊D1111yescharacteristic
518C22×C4C2×C22⋊D1111yescharacteristic
519C22×C4C2×C22⋊D1111yescharacteristic
520C22×C4C2×C22⋊D1111yescharacteristic
521C22×C4C23×D1111yescharacteristic
522SD16—228no—
523M16—228no—
524C2×C8—112no—
525C2×C8—112no—
526C2×C8—112no—
527C2×C8—112no—
528C2×C8—112no—
529C2×C8—112no—
530C2×C8—228no—
531C2×C8—221no—
532C2×C8—221no—
533C2×C8—221no—
534C2×C8—221no—
535C2×C8—221no—
536C2×C8—221no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—81no—
545C4⋊C4—112no—
546C4⋊C4—224no—
547C4⋊C4—221no—
548C4⋊C4—221no—
549C4⋊C4—221no—
550C4⋊C4—221no—
551C4⋊C4—221no—
552C4⋊C4—442no—
553C4⋊C4—881no—
554C4⋊C4C2×C4×D1112yes—
555C22⋊C4—24no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—42no—
559C22⋊C4—81no—
560C22⋊C4—81no—
561C22⋊C4—81no—
562C22⋊C4—224no—
563C22⋊C4—881no—
564C42—21no—
565C42—21no—
566C42—81no—
567C42—442no—
568C42—881no—
569C42D4×D1112yes—
570C42#434112yes—
571C11#2153511yescharacteristic, complemented, Sylow
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23C4×C22⋊D1112yes—
586C23C22×C22⋊D1111yescharacteristic
587Q8—222no—
588Q8—222no—
589Q8—441no—
590Q8—441no—
591D4—22no—
592D4—22no—
593D4—41no—
594D4—41no—
595D4—84no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—441no—
625C2×C4—441no—
626C2×C4—441no—
627C2×C4—441no—
628C2×C4—441no—
629C2×C4—441no—
630C2×C4—441no—
631C2×C4—441no—
632C2×C4—441no—
633C2×C4—441no—
634C2×C4C4×C22⋊D1112yes—
635C2×C4#6699212yes—
636C2×C4#6699212yes—
637C2×C4C22×C4×D1111yescharacteristic
638C2×C4C2×#433911yescharacteristic
639C2×C4C2×D4×D1111yescharacteristic
640C2×C4C2×#434111yescharacteristic
641C2×C4#41×D1111yescharacteristic
642C2×C4#41×D1111yescharacteristic
643C8—114no—
644C8—222no—
645C8—222no—
646C8—222no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22C2×C4×C22⋊D1111yescharacteristic
662C22C2×#6699211yescharacteristic
663C22#1062336311yescharacteristic
664C22#1062336611yescharacteristic
665C22#1062336711yescharacteristic
666C22#1062336711yescharacteristic
667C22#1062336911yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—41no—
672C4—42no—
673C4—41no—
674C4—81no—
675C4—81no—
676C4—442no—
677C4—442no—
678C4—881no—
679C4—881no—
680C4C4×#434111yescharacteristic
681C4#1062306911yescharacteristic
682C4C4×D4×D1111yescharacteristic
683C4#1062307811yescharacteristic
684C2—42no—
685C2—82no—
686C2C4×#6699211yescharacteristic
687C2#1307744811yescharacteristic
688C2#1307745511yescharacteristic
689C2#1307825211yescharacteristic
690C2#1307828311yescharacteristic
691C2#1307927811yescharacteristic
692C2#1307930111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2324C2
socleC23×C11C22×D4
prime radicalC2×C11×#121C22
cosocleC22×C4×C11C24
hypercenter#2324D11
hypocenterC11#21535
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
2. C2×C4×#4324C2semidirect
3. C2×#10622610C2semidirect
4. #13071298C2semidirect
5. #13069496C2semidirect
6. #13069351C2semidirect
7. #13069302C2semidirect
8. #13069291C2semidirect
10. #13069037C2semidirect
11. #13068647C2semidirect
12. C4×#66871C2semidirect
13. #13068449C2semidirect
14. #13068441C2semidirect
36. #10622655C4semidirect
98. #66977C2×C4semidirect
106. C2×#4318C2×C4semidirect
129. #66874C2×C4semidirect
132. #66871C2×C4semidirect
136. C4×C11⋊C8D4semidirect
571. C11#21535semidirect

Maximal subgroups

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

subgroupindex
C2×#106226552
C2×C4×#43242
C2×#106226102
#130712982
#130694962
#130693512
#130693022
#130692912
#130690452
#130690372
#130686472
C4×#668712
#130684492
#130684412
C11×#23242
#2153511