Finite Group Databasebeta

← #14660621

Subgroups — #14660621

Order 2816.

1262 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#67004C211yesmaximal, characteristic
2#13077135C211yesmaximal, characteristic
3C2×#10622617C211yesmaximal, characteristic, complemented
4#13071200C211yesmaximal, characteristic, complemented
5C2×#10622171C211yesmaximal, characteristic, complemented
6#13068326C211yesmaximal, characteristic, complemented
7C2×C11×#410C211yesmaximal, characteristic
8C22×C11×#41C2211yescharacteristic
9C23×Dic22C2211yescharacteristic
10C2×C11×#117C2211yescharacteristic
11C2×C11×#117C2211yescharacteristic
12C2×#67004—22no—
13C2×#67004—22no—
14C2×#67004—22no—
15C2×#67004—22no—
16C2×#67004—22no—
17C2×#67004C414yescomplemented
18C22×#4326—21no—
19C22×#4324—21no—
20C2×#66979C2211yescharacteristic
21C22×#4318C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23C11×#410—22no—
24C11×#410—22no—
25C2×C11×#99—22no—
26#10622846—22no—
27#10622845—22no—
28#10622838—21no—
29#10622828—21no—
30#10622617—22no—
31#10622617—22no—
32#10622587—22no—
33C2×#66874—22no—
34#10622556—22no—
35#10622542—22no—
36#10622171—22no—
37#10622161—22no—
38C2×C11×#41—21no—
39C2×C11×#41—21no—
40C2×C11×#41—21no—
41C2×C11×#41—21no—
42C2×C11×#41—21no—
43C2×C11×#41—21no—
44C2×C11×#41—21no—
45C2×C11×#41—21no—
46C2×C11×#41—21no—
47C2×C11×#41—21no—
48C2×C11×#41C2×C412yes—
49C2×C11×#41D412yes—
50C22×Q8×C11D411yescharacteristic
51C22×D4×C11—21no—
52C22×D4×C11D411yescharacteristic
53C23×C4×C11—21no—
54C23×C4×C11C2311yescharacteristic
55C23×Dic11—21no—
56C22×Dic22—21no—
57C22×Dic22—21no—
58C22×Dic22—21no—
59C22×Dic22—21no—
60C22×Dic22—21no—
61C22×Dic22—21no—
62C22×Dic22—21no—
63C22×Dic22—21no—
64C22×Dic22—21no—
65C22×Dic22—21no—
66C22×Dic22—21no—
67C22×Dic22C2×C412yes—
68C22×Dic22D412yes—
69C22×Dic22D412yes—
70C11×#117—21no—
71C11×#117—21no—
72C11×#117—21no—
73C11×#117—21no—
74C11×#117—21no—
75C11×#117—21no—
76C11×#117—21no—
77C11×#117D412yes—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4D412yes—
82C2×C42×C11—21no—
83C2×C42×C11—21no—
84C2×C22⋊Dic11—21no—
85#67004—28no—
86#67004—28no—
87#67004—28no—
88#67004—28no—
89C2×#4326—24no—
90C2×#4326—24no—
91C2×#4326—24no—
92C2×#4324—24no—
93C2×#4324—24no—
94C2×#4324—24no—
95#66979—21no—
96#66979—21no—
97#66979—21no—
98#66979—21no—
99C2×C4⋊Dic11D412yes—
100C2×C4×Dic11—21no—
101C2×#4318—21no—
102C2×#4318—21no—
103C2×#4318—21no—
104C2×#4318—21no—
105C2×#4318—21no—
106C2×#4318—21no—
107C2×#4318—21no—
108C2×#4318—21no—
109C2×#4318—21no—
110C2×#4318C2×C412yes—
111C2×#4318D412yes—
112C2×#4318D412yes—
113C22×C11⋊C8—21no—
114C22×C11⋊C8D412yes—
115C11×#99—28no—
116#66899—24no—
117#66896—24no—
118C11⋊#95—28no—
119#66874—28no—
120#11031—111nomaximal, Sylow
121C24×C11—21no—
122C24×C11C2×D411yescharacteristic
123C11×#41—22no—
124C11×#41—22no—
125C11×#41—22no—
126C11×#41—22no—
127C11×#41—22no—
128C11×#41—22no—
129C11×#41—22no—
130C11×#41—22no—
131C11×#41—41no—
132C11×#41—41no—
133C11×#41—41no—
134C11×#41—41no—
135C11×#41—41no—
136C11×#41—41no—
137C11×#41—41no—
138C11×#41—41no—
139C2×Q8×C11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11C22⋊C412yes—
145C2×D4×C11—22no—
146C2×D4×C11—22no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11—41no—
153C2×D4×C11—41no—
154C2×D4×C11—41no—
155C2×D4×C11—41no—
156C2×D4×C11C22⋊C412yes—
157C22×C4×C11—21no—
158C22×C4×C11—22no—
159C22×C4×C11—22no—
160C22×C4×C11—22no—
161C22×C4×C11—41no—
162C22×C4×C11—41no—
163C22×C4×C11—41no—
164C22×C4×C11—41no—
165C22×C4×C11—41no—
166C22×C4×C11C22×C411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11#4111yescharacteristic
177C22×C4×C11#4111yescharacteristic
178C22×C4×C11#4111yescharacteristic
179C22×C4×C11#4111yescharacteristic
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—41no—
185C22×Dic11—41no—
186C22×Dic11—41no—
187C22×Dic11—41no—
188C2×Dic22—22no—
189C2×Dic22—22no—
190C2×Dic22—22no—
191C2×Dic22—22no—
192C2×Dic22—22no—
193C2×Dic22—22no—
194C2×Dic22—22no—
195C2×Dic22—22no—
196C2×Dic22—22no—
197C2×Dic22—22no—
198C2×Dic22—22no—
199C2×Dic22—22no—
200C2×Dic22—22no—
201C2×Dic22—22no—
202C2×Dic22—22no—
203C2×Dic22—41no—
204C2×Dic22—41no—
205C2×Dic22—41no—
206C2×Dic22—41no—
207C2×Dic22—41no—
208C2×Dic22—41no—
209C2×Dic22—41no—
210C2×Dic22—41no—
211C2×Dic22—41no—
212C2×Dic22—41no—
213C2×Dic22—41no—
214C2×Dic22—41no—
215C2×Dic22C22⋊C414yes—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—41no—
218C11×C4⋊C4—41no—
219C11×C4⋊C4—41no—
220C11×C22⋊C4—22no—
221C11×C22⋊C4—22no—
222C11×C22⋊C4—22no—
223C11×C22⋊C4—41no—
224C42×C11—22no—
225C42×C11—41no—
226C42×C11—41no—
227C42×C11—41no—
228C22⋊Dic11—41no—
229C22⋊Dic11—41no—
230#4326—216no—
231#4324—216no—
232C4⋊Dic11—22no—
233C4⋊Dic11—22no—
234C4×Dic11—41no—
235C4×Dic11—41no—
236#4318—22no—
237#4318—22no—
238#4318—22no—
239#4318—41no—
240#4318—41no—
241#4318—41no—
242#4318—41no—
243#4318C22⋊C414yes—
244C2×C11⋊C8—22no—
245C2×C11⋊C8—22no—
246C2×C11⋊C8—22no—
247C2×C11⋊C8—22no—
248C2×C11⋊C8—22no—
249C2×C11⋊C8—22no—
250C22×#137—111no—
251#2896—111no—
252C2×#419—111no—
253C2×#410D1111yescharacteristic
254#2310—111no—
255C2×#344—111no—
256#1733—111no—
257C23×C11—22no—
258C23×C11—42no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—82no—
262C23×C11C4×D411yescharacteristic
263C23×C11#12011yescharacteristic
264C23×C11#12011yescharacteristic
265C23×C11#12111yescharacteristic
266C23×C11#12111yescharacteristic
267C23×C11#12111yescharacteristic
268C23×C11#12711yescharacteristic
269Q8×C11—22no—
270Q8×C11—22no—
271Q8×C11—41no—
272Q8×C11—41no—
273D4×C11—22no—
274D4×C11—22no—
275D4×C11—42no—
276D4×C11—42no—
277D4×C11—42no—
278D4×C11—42no—
279D4×C11—41no—
280D4×C11—41no—
281C2×C4×C11—22no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11—44no—
289C2×C4×C11—42no—
290C2×C4×C11—42no—
291C2×C4×C11—82no—
292C2×C4×C11C2×C22⋊C411yescharacteristic
293C2×C4×C11C2×C22⋊C411yescharacteristic
294C2×C4×C11C2×C22⋊C411yescharacteristic
295C2×C4×C11C4×D411yescharacteristic
296C2×C4×C11C4×D411yescharacteristic
297C2×C4×C11C4×D411yescharacteristic
298C2×C4×C11#12011yescharacteristic
299C2×C4×C11#12011yescharacteristic
300C2×C4×C11#12011yescharacteristic
301C2×C4×C11#12011yescharacteristic
302C2×C4×C11#12011yescharacteristic
303C2×C4×C11#12011yescharacteristic
304C2×C4×C11#12111yescharacteristic
305C2×C4×C11#12111yescharacteristic
306C2×C4×C11#12111yescharacteristic
307C2×C4×C11#12111yescharacteristic
308C2×C4×C11#12111yescharacteristic
309C2×C4×C11#12111yescharacteristic
310C2×C4×C11#12111yescharacteristic
311C2×C4×C11#12111yescharacteristic
312C2×C4×C11#12111yescharacteristic
313C2×C4×C11#12311yescharacteristic
314C2×C4×C11#12311yescharacteristic
315C2×C4×C11#12311yescharacteristic
316C2×C4×C11#12311yescharacteristic
317C2×C4×C11#12411yescharacteristic
318C2×C4×C11#12411yescharacteristic
319C2×C4×C11#12711yescharacteristic
320C2×Dic11—24no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11—42no—
324C2×Dic11—42no—
325C2×Dic11—42no—
326C2×Dic11—42no—
327C2×Dic11—44no—
328C2×Dic11—42no—
329Dic22—24no—
330Dic22—24no—
331Dic22—42no—
332Dic22—42no—
333Dic22—42no—
334Dic22—42no—
335Dic22—42no—
336Dic22—42no—
337C11⋊C8—24no—
338C11⋊C8—42no—
339C22×#41C2×D1111yescharacteristic
340C23×Q8—111no—
341C2×#137—114no—
342C2×#137—222no—
343C2×#137—222no—
344C2×#137—222no—
345C2×#137—222no—
346C2×#137—222no—
347C22×Q16—221no—
348C22×SD16—221no—
349C22×M16—111no—
350C22×M16—111no—
351C2×#117—111no—
352C2×#117C2×D1111yescharacteristic
353C2×#117C2×D1111yescharacteristic
354#419—222no—
355#419—221no—
356#419—222no—
357#418—221no—
358#417—222no—
359#416—222no—
360C2×#103—222no—
361#410—22no—
362#410—22no—
363C2×#99—22no—
364#391—222no—
365#391—222no—
366#381—222no—
367#344—222no—
368#339—222no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—42no—
377C22×C11—82no—
378C22×C11—82no—
379C22×C11—82no—
380C22×C11#38611yescharacteristic
381C22×C11#38611yescharacteristic
382C22×C11#39011yescharacteristic
383C22×C11#39211yescharacteristic
384C22×C11#39211yescharacteristic
385C22×C11#39211yescharacteristic
386C22×C11#39411yescharacteristic
387C4×C11—42no—
388C4×C11—82no—
389C4×C11—82no—
390C4×C11#37911yescharacteristic
391C4×C11#38611yescharacteristic
392C4×C11#38611yescharacteristic
393C4×C11#39011yescharacteristic
394C4×C11#39211yescharacteristic
395C4×C11#39411yescharacteristic
396C4×C11#39411yescharacteristic
397C4×C11#39411yescharacteristic
398Dic11—44no—
399Dic11—82no—
400C2×#41—21no—
401C2×#41—21no—
402C2×#41—21no—
403C2×#41—21no—
404C2×#41—21no—
405C2×#41—21no—
406C2×#41—21no—
407C2×#41—21no—
408C2×#41—21no—
409C2×#41—21no—
410C2×#41C4×D1112yes—
411C2×#41C22⋊D1112yes—
412C22×Q8—112no—
413C22×Q8—112no—
414C22×Q8—112no—
415C22×Q8—221no—
416C22×Q8—221no—
417C22×Q8—221no—
418C22×Q8—221no—
419C22×Q8—221no—
420C22×Q8—221no—
421C22×Q8—221no—
422C22×Q8—221no—
423C22×Q8—221no—
424C22×Q8—221no—
425C22×Q8—221no—
426C22×Q8D4411yescharacteristic
427C22×D4—21no—
428C22×D4D4411yescharacteristic
429C23×C4—21no—
430C23×C4—221no—
431C23×C4C22×D1111yescharacteristic
432#137—228no—
433#137—228no—
434#137—228no—
435#137—228no—
436C2×Q16—224no—
437C2×Q16—224no—
438C2×Q16—224no—
439C2×SD16—224no—
440C2×SD16—224no—
441C2×SD16—224no—
442C2×M16—112no—
443C2×M16—112no—
444C2×M16—112no—
445C2×M16—221no—
446C2×M16—221no—
447C2×M16—221no—
448C2×M16—221no—
449C2×M16—221no—
450C2×M16—221no—
451C2×M16—221no—
452C2×M16—221no—
453C2×M16—221no—
454C22×C8—112no—
455C22×C8—221no—
456#117—21no—
457#117—21no—
458#117—21no—
459#117—21no—
460#117—21no—
461#117—21no—
462#117—21no—
463#117—221no—
464#117—221no—
465#117—221no—
466#117—221no—
467#117C22⋊D1112yes—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—112no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—221no—
473C2×C22⋊C4C22⋊D1112yes—
474C2×C42—21no—
475C2×C42—21no—
476C2×C42—221no—
477#103—228no—
478#103—224no—
479#102—224no—
480#99—28no—
481#95—228no—
482C2×C11—21no—
483C2×C11—21no—
484C2×C11—21no—
485C2×C11—21no—
486C2×C11—21no—
487C2×C11—21no—
488C2×C11—82no—
489C2×C11#143811yescharacteristic
490C2×C11#200912yes—
491C24—21no—
492C24C2×C22⋊D1111yescharacteristic
493#41—22no—
494#41—22no—
495#41—22no—
496#41—22no—
497#41—22no—
498#41—22no—
499#41—22no—
500#41—22no—
501#41—41no—
502#41—41no—
503#41—41no—
504#41—41no—
505#41—41no—
506#41—41no—
507#41—41no—
508#41—41no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—114no—
515C2×Q8—222no—
516C2×Q8—222no—
517C2×Q8—222no—
518C2×Q8—222no—
519C2×Q8—222no—
520C2×Q8—222no—
521C2×Q8—222no—
522C2×Q8—222no—
523C2×Q8—222no—
524C2×Q8—222no—
525C2×Q8—222no—
526C2×Q8—222no—
527C2×Q8—222no—
528C2×Q8—222no—
529C2×Q8—222no—
530C2×Q8—441no—
531C2×Q8—441no—
532C2×Q8—441no—
533C2×Q8—441no—
534C2×Q8—441no—
535C2×Q8—441no—
536C2×Q8—441no—
537C2×Q8—441no—
538C2×Q8—441no—
539C2×Q8—441no—
540C2×Q8—441no—
541C2×Q8—441no—
542C2×Q8(C2×D11)⋊C412yes—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—41no—
551C2×D4—41no—
552C2×D4—41no—
553C2×D4—41no—
554C2×D4(C2×D11)⋊C412yes—
555C22×C4—21no—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—41no—
560C22×C4—41no—
561C22×C4—41no—
562C22×C4—41no—
563C22×C4—41no—
564C22×C4—222no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—222no—
568C22×C4—441no—
569C22×C4—441no—
570C22×C4—441no—
571C22×C4—441no—
572C22×C4C2×C4×D1111yescharacteristic
573C22×C4C2×D4411yescharacteristic
574C22×C4#433911yescharacteristic
575C22×C4#433911yescharacteristic
576C22×C4D4×D1111yescharacteristic
577C22×C4D4×D1111yescharacteristic
578C22×C4D4×D1111yescharacteristic
579C22×C4D4×D1111yescharacteristic
580C22×C4D4×D1111yescharacteristic
581C22×C4D4×D1111yescharacteristic
582C22×C4#434111yescharacteristic
583C22×C4#434111yescharacteristic
584C22×C4C2×C22⋊D1111yescharacteristic
585C22×C4C2×C22⋊D1111yescharacteristic
586Q16—2216no—
587SD16—2216no—
588M16—114no—
589M16—222no—
590M16—222no—
591M16—222no—
592M16—441no—
593M16—441no—
594M16—441no—
595M16—441no—
596C2×C8—222no—
597C2×C8—222no—
598C2×C8—222no—
599C2×C8—222no—
600C2×C8—222no—
601C2×C8—222no—
602C4⋊C4—22no—
603C4⋊C4—41no—
604C4⋊C4—41no—
605C4⋊C4—41no—
606C4⋊C4—222no—
607C4⋊C4—222no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—41no—
612C22⋊C4—441no—
613C22⋊C4—441no—
614C42—22no—
615C42—41no—
616C42—41no—
617C42—41no—
618C42—441no—
619C42—441no—
620C11#1103111yescharacteristic, complemented, Sylow
621C23—22no—
622C23—42no—
623C23—41no—
624C23—41no—
625C23—82no—
626C23C4×C22⋊D1111yescharacteristic
627C23#6698311yescharacteristic
628C23#6699011yescharacteristic
629C23#6699111yescharacteristic
630C23#6699211yescharacteristic
631C23#6699311yescharacteristic
632C23#6700611yescharacteristic
633Q8—22no—
634Q8—22no—
635Q8—41no—
636Q8—41no—
637Q8—224no—
638Q8—224no—
639Q8—442no—
640Q8—442no—
641Q8—442no—
642Q8—442no—
643Q8—442no—
644Q8—442no—
645D4—22no—
646D4—22no—
647D4—42no—
648D4—42no—
649D4—42no—
650D4—42no—
651D4—41no—
652D4—41no—
653C2×C4—22no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—44no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—82no—
664C2×C4—224no—
665C2×C4—442no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4—442no—
670C2×C4—442no—
671C2×C4—444no—
672C2×C4—442no—
673C2×C4C22⋊C4×D1111yescharacteristic
674C2×C4C22⋊C4×D1111yescharacteristic
675C2×C4(C22⋊D11)⋊C411yescharacteristic
676C2×C4(C22⋊D11)⋊C411yescharacteristic
677C2×C4#6693511yescharacteristic
678C2×C4#6693511yescharacteristic
679C2×C4#6693511yescharacteristic
680C2×C4#6693611yescharacteristic
681C2×C4#6693611yescharacteristic
682C2×C4#6693711yescharacteristic
683C2×C4#6693711yescharacteristic
684C2×C4#6693711yescharacteristic
685C2×C4#6693711yescharacteristic
686C2×C4#6693811yescharacteristic
687C2×C4#6693811yescharacteristic
688C2×C4#6693911yescharacteristic
689C2×C4C2×(C2×D11)⋊C411yescharacteristic
690C2×C4C4×C22⋊D1111yescharacteristic
691C2×C4#6698211yescharacteristic
692C2×C4#6698311yescharacteristic
693C2×C4#6699011yescharacteristic
694C2×C4#6699011yescharacteristic
695C2×C4#6699011yescharacteristic
696C2×C4#6699111yescharacteristic
697C2×C4#6699211yescharacteristic
698C2×C4#6699211yescharacteristic
699C2×C4#6699211yescharacteristic
700C2×C4#6699311yescharacteristic
701C8—224no—
702C8—442no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22#1062256911yescharacteristic
715C22#1062257011yescharacteristic
716C22#1062257311yescharacteristic
717C22#1062257411yescharacteristic
718C22#1062282611yescharacteristic
719C22#1062283611yescharacteristic
720C22#1062283611yescharacteristic
721C4—42no—
722C4—82no—
723C4—82no—
724C4—444no—
725C4—882no—
726C4#1062256811yescharacteristic
727C4#1062256911yescharacteristic
728C4#1062257011yescharacteristic
729C4#1062257111yescharacteristic
730C4#1062257211yescharacteristic
731C4#1062257211yescharacteristic
732C4#1062257311yescharacteristic
733C4#1062257411yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—82no—
741C2#1306685511yescharacteristic
742C2#1306967512yes—
subgroupG/H
centerC22#10622573
commutatorC22×C4×C11C22×C4
FrattiniC23×C4C22×D11
FittingC2×C11×#410C2
socleC22×C11#392
prime radicalC22×C11×#41C22
cosocleC23×C4×C11C23
hypercenterC2×#410D11
hypocenterC11#11031
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#410

Complements

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

NH ≅ G/Ntype
3. C2×#10622617C2semidirect
4. #13071200C2semidirect
5. C2×#10622171C2semidirect
6. #13068326C2semidirect
17. C2×#67004C4semidirect
620. C11#11031semidirect

Maximal subgroups

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

subgroupindex
C22×#670042
#130771352
C2×#106226172
#130712002
C2×#106221712
#130683262
C2×C11×#4102
#1103111