Finite Group Databasebeta

← #25102916

Subgroups — #25102916

Order 11008.

1056 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583115C211yesmaximal, characteristic
2C2×#14582998C211yesmaximal, characteristic, complemented
3C2×#14582981C211yesmaximal, characteristic
4#19137303C211yesmaximal, characteristic, complemented
5#19136955C211yesmaximal, characteristic, complemented
6#19135527C211yesmaximal, characteristic, complemented
7#19135235C211yesmaximal, characteristic, complemented
8#19135214C211yesmaximal, characteristic, complemented
9#19134944C211yesmaximal, characteristic
10#19134930C211yesmaximal, characteristic, complemented
11#19134592C211yesmaximal, characteristic, complemented
12#19134454C211yesmaximal, characteristic, complemented
13#19134419C211yesmaximal, characteristic, complemented
14#19134414C211yesmaximal, characteristic, complemented
15C43×#1947C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C22×D344C2211yescharacteristic
18C2×#13063313C2211yescharacteristic
19C2×#13063290C2211yescharacteristic
20C2×C4×D172C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23C2×#13063287C2211yescharacteristic
24#14583115C418yescomplemented
25#14582998—24no—
26#14582981—24no—
27C2×C4⋊(C43⋊C8)C2211yescharacteristic
28C2×#13063250C2211yescharacteristic
29C2×#13063248C2211yescharacteristic
30C2×#13063248C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063245C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×#13063245C2211yescharacteristic
36C2×#13063235C2211yescharacteristic
37C2×C8×Dic43C2211yescharacteristic
38#14582804C2211yescharacteristic
39#14582800C2211yescharacteristic
40#14582789—21no—
41#14582789—21no—
42#14582770—21no—
43#14582770—21no—
44C4⋊C4×Dic43C2211yescharacteristic
45C4⋊C4×Dic43C2211yescharacteristic
46C4×(C2×D43)⋊C4—21no—
47C4×(C2×D43)⋊C4—21no—
48#14582746—21no—
49#14582745C2211yescharacteristic
50#95×D43—21no—
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×#107×C43C2211yescharacteristic
56C2×#107×C43C2211yescharacteristic
57C2×C4⋊C8×C43C2211yescharacteristic
58C43×#384C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172C2311yescharacteristic
64C22×D172C2311yescharacteristic
65C22×C4×D43—21no—
66C22×C4×D43—21no—
67C22×C4×D43—21no—
68C22×C4×D43—21no—
69C2×#10621873—22no—
70C2×#10621873—22no—
71C2×#10621873C2×C414yescomplemented
72C2×D344—22no—
73C2×D344—22no—
74C2×D344C2×C414yes—
75C22×C43⋊C8C2311yescharacteristic
76C22×C43⋊C8C2311yescharacteristic
77#13063313—22no—
78#13063313C2×C414yescomplemented
79#13063290—22no—
80#13063290—22no—
81C4×D172—22no—
82C4×D172C2×C414yescomplemented
83#13063287—22no—
84#13063287—22no—
85#13063287—22no—
86#13063287—22no—
87#13063287—22no—
88#13063287D414yes—
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×C4×Dic43—21no—
100C2×C4×Dic43—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43C2311yescharacteristic
103C2×C4×Dic43C2311yescharacteristic
104C4⋊(C43⋊C8)—22no—
105#13063250C2×C414yescomplemented
106#13063248—22no—
107#13063248—22no—
108#13063247C2×C414yescomplemented
109#13063245—22no—
110#13063245—22no—
111#13063245—22no—
112#13063245—22no—
113#13063235—22no—
114C8×Dic43—22no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95D411yescharacteristic
120C43⋊#95D411yescharacteristic
121C43⋊#95D411yescharacteristic
122C43⋊#95D411yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C2×C4⋊C4×C43—21no—
126C2×C4⋊C4×C43—21no—
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C42×C43—21no—
132C2×C42×C43C2311yescharacteristic
133#107×C43—22no—
134#107×C43—22no—
135C4⋊C8×C43C2×C414yescomplemented
136#95×C43—21no—
137C23×D43—21no—
138C23×D43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43C2×D411yescharacteristic
144C22×C4×C43C2×D411yescharacteristic
145C22×C4×C43C2411yescharacteristic
146C22×Dic43—21no—
147C22×Dic43—21no—
148C22×Dic43C2×D411yescharacteristic
149C22×Dic43C2×D411yescharacteristic
150C22×Dic43C2×D411yescharacteristic
151C22×Dic43C2×D411yescharacteristic
152C2×D172—21no—
153C2×D172—21no—
154C2×D172—21no—
155C2×D172—21no—
156C2×D172—21no—
157C2×D172—21no—
158C2×D172—21no—
159C2×D172—21no—
160C2×D172C22×C412yes—
161C2×D172C22×C412yes—
162C2×D172C2×D412yes—
163C2×D172#4112yes—
164C2×C4×D43—24no—
165C2×C4×D43—24no—
166C2×C4×D43—24no—
167C2×C4×D43—42no—
168C2×C4×D43—81no—
169C2×C4×D43—81no—
170C2×C4×D43—81no—
171C2×C4×D43—81no—
172C2×C4×D43—81no—
173C2×C4×D43—81no—
174C2×C4×D43—81no—
175C2×C4×D43—81no—
176C2×Dic86—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86C22×C412yes—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43C22×C412yes—
187C2×C8×C43C22×C412yes—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—81no—
195C4⋊C4×C43—81no—
196C4⋊C4×C43C2×D412yes—
197C4⋊C4×C43#4112yes—
198C42×C43—81no—
199C42×C43C22×C412yes—
200C42×C43#4112yes—
201(C2×D43)⋊C4—24no—
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—24no—
204(C2×D43)⋊C4—24no—
205(C2×D43)⋊C4—24no—
206(C2×D43)⋊C4—42no—
207(C2×D43)⋊C4—81no—
208(C2×D43)⋊C4—81no—
209C4⋊Dic43—21no—
210C4⋊Dic43C22×C412yes—
211Dic43⋊C4—42no—
212C4×Dic43—21no—
213C4×Dic43—21no—
214C4×Dic43—42no—
215C4×Dic43—81no—
216C4×Dic43—81no—
217C4×Dic43C2×D412yes—
218C4×Dic43#4112yes—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225D344—28no—
226#10621873—28no—
227C23×C43C22×D411yescharacteristic
228C22×D43—22no—
229C22×D43—22no—
230C22×D43—22no—
231C22×D43—22no—
232C22×D43—41no—
233C22×D43—41no—
234C22×D43—41no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43C4×D412yes—
259C2×C4×C43C4×D412yes—
260C2×C4×C43C23×C411yescharacteristic
261C2×C4×C43C22×D411yescharacteristic
262C2×C4×C43C2×#4111yescharacteristic
263C2×C4×C43C2×#4111yescharacteristic
264C2×C4×C43C2×#4111yescharacteristic
265C2×C4×C43C2×#4111yescharacteristic
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—22no—
271C2×Dic43—22no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43#12112yes—
283C2×Dic43#12112yes—
284D172—22no—
285D172—22no—
286D172—22no—
287D172—22no—
288D172—22no—
289D172—41no—
290D172—41no—
291D172C4×D414yes—
292C4×D43—84no—
293C4×D43—84no—
294C4×D43—84no—
295C4×D43—84no—
296Dic86—22no—
297Dic86—22no—
298Dic86—41no—
299Dic86—41no—
300C8×C43—22no—
301C8×C43—22no—
302C43⋊C8—41no—
303C43⋊C8—41no—
304#21509—431nomaximal, Sylow
305C22×C43C2×C4×D411yescharacteristic
306C22×C43C2×#12111yescharacteristic
307C22×C43#52511yescharacteristic
308C22×C43#57611yescharacteristic
309C22×C43#57611yescharacteristic
310C22×C43#57711yescharacteristic
311C22×C43#57811yescharacteristic
312C2×D43—24no—
313C2×D43—42no—
314C2×D43—42no—
315C2×D43—42no—
316C2×D43—42no—
317C2×D43—42no—
318C2×D43—42no—
319C2×D43—42no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—81no—
323C2×D43—81no—
324C2×D43—81no—
325C2×D43—81no—
326C4×C43—22no—
327C4×C43—22no—
328C4×C43—42no—
329C4×C43—42no—
330C4×C43—81no—
331C4×C43—81no—
332C4×C43C2×C4×D411yescharacteristic
333C4×C43C4×#4111yescharacteristic
334C4×C43#52911yescharacteristic
335C4×C43#53211yescharacteristic
336Dic43—22no—
337Dic43—22no—
338Dic43—41no—
339Dic43—41no—
340Dic43—42no—
341Dic43—42no—
342C2×#463—431no—
343C2×#440—431no—
344C2×C4×D8—431no—
345#2326—431no—
346#2275—431no—
347#1983—431no—
348#1947D4311yescharacteristic, complemented
349#1928—431no—
350#1925—431no—
351#1879—431no—
352#1877—431no—
353#1802—431no—
354#1768—431no—
355#1762—431no—
356C4×#103—431no—
357C2×C43C4×#12111yescharacteristic
358C2×C43#294611yescharacteristic
359C2×C43#295111yescharacteristic
360C2×C43#304111yescharacteristic
361C2×C43#304611yescharacteristic
362C2×C43#311811yescharacteristic
363C2×C43#312411yescharacteristic
364D43—44no—
365D43—82no—
366C22×SD16—431no—
367C22×D8—431no—
368C2×#124—431no—
369C2×C4×Q8—431no—
370C2×C4×D4—431no—
371C2×C4×D4—431no—
372C2×C4×D4—431no—
373C2×C4×D4—431no—
374#463—438no—
375#440—864no—
376C4×D8—864no—
377C2×#107C2×D4311yescharacteristic
378C2×#107C2×D4311yescharacteristic
379C2×C4⋊C8—431no—
380C2×C4⋊C8C2×D4311yescharacteristic
381C2×#103—431no—
382C2×#103—431no—
383C2×#103—431no—
384C2×#102—431no—
385C2×#102—431no—
386C2×#102—431no—
387C2×#102—431no—
388C2×#102—431no—
389C2×#97—431no—
390C2×C4×C8—431no—
391#391—431no—
392#390—431no—
393#388—861no—
394#388—861no—
395#385—861no—
396#385—861no—
397#384C2×D4311yescharacteristic
398C4×C4⋊C4—431no—
399C4×C4⋊C4—431no—
400C4×C4⋊C4C2×D4311yescharacteristic
401C4×C22⋊C4—861no—
402C4×C22⋊C4—861no—
403C4×C22⋊C4—861no—
404#376—431no—
405C2×#95—861no—
406#340—431no—
407#340—431no—
408#340C2×D4311yescharacteristic
409#340C2×D4311yescharacteristic
410#336—431no—
411#336—431no—
412C43#2150911yescharacteristic, complemented, Sylow
413C22×Q8—431no—
414C22×D4—431no—
415C22×D4—431no—
416C23×C4—861no—
417C23×C4—861no—
418C23×C4—861no—
419C23×C4—861no—
420C2×SD16—434no—
421C2×SD16—862no—
422C2×SD16—862no—
423C2×D8—434no—
424C2×D8—862no—
425C2×D8—862no—
426C22×C8—431no—
427C22×C8—431no—
428C22×C8C22×D4311yescharacteristic
429C22×C8C22×D4311yescharacteristic
430#124—434no—
431#124—862no—
432C4×Q8—862no—
433C4×Q8—862no—
434C4×D4—434no—
435C4×D4—434no—
436C4×D4—862no—
437C4×D4—862no—
438C4×D4—862no—
439C4×D4—862no—
440C4×D4—862no—
441C4×D4—862no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—431no—
445C2×C4⋊C4—861no—
446C2×C4⋊C4C22×D4311yescharacteristic
447C2×C4⋊C4C22×D4311yescharacteristic
448C2×C4⋊C4C22×D4311yescharacteristic
449C2×C4⋊C4C22×D4311yescharacteristic
450C2×C22⋊C4—861no—
451C2×C22⋊C4—861no—
452C2×C22⋊C4—861no—
453C2×C22⋊C4—861no—
454C2×C22⋊C4—861no—
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C42—21no—
459C2×C42—431no—
460C2×C42—431no—
461C2×C42—861no—
462C2×C42—861no—
463C2×C42—861no—
464C2×C42C22×D4311yescharacteristic
465#107—22no—
466#107—22no—
467C4⋊C8—862no—
468C4⋊C8C4×D4314yescomplemented
469#103—434no—
470#103—862no—
471#103—862no—
472#102—434no—
473#102—862no—
474#102—862no—
475#102—862no—
476#102—862no—
477#97—862no—
478C4×C8—862no—
479#95—21no—
480#95—431no—
481#95—431no—
482#95—431no—
483#95—431no—
484#95—861no—
485#95—861no—
486#95—861no—
487#95—861no—
488C24—861no—
489C24—861no—
490C2×Q8—432no—
491C2×Q8—861no—
492C2×Q8—861no—
493C2×Q8—861no—
494C2×Q8—861no—
495C2×Q8—861no—
496C2×D4—432no—
497C2×D4—432no—
498C2×D4—432no—
499C2×D4—432no—
500C2×D4—861no—
501C2×D4—861no—
502C2×D4—861no—
503C2×D4—861no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—861no—
507C2×D4—861no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—431no—
513C22×C4—431no—
514C22×C4—431no—
515C22×C4—431no—
516C22×C4—864no—
517C22×C4—864no—
518C22×C4—861no—
519C22×C4—861no—
520C22×C4—864no—
521C22×C4—3441no—
522C22×C4—3441no—
523C22×C4—3441no—
524C22×C4—3441no—
525C22×C4—3441no—
526C22×C4—3441no—
527C22×C4—3441no—
528C22×C4—3441no—
529C22×C4—1722no—
530C22×C4D4×D4311yescharacteristic
531C22×C4D4×D4311yescharacteristic
532C22×C4C23×D4311yescharacteristic
533SD16—868no—
534D8—868no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—861no—
540C2×C8—861no—
541C2×C8—861no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8C2×C4×D4312yes—
546C2×C8C2×C4×D4312yes—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—81no—
554C4⋊C4—81no—
555C4⋊C4—432no—
556C4⋊C4—861no—
557C4⋊C4—1722no—
558C4⋊C4D4×D4312yes—
559C4⋊C4#1062190212yes—
560C22⋊C4—864no—
561C22⋊C4—864no—
562C22⋊C4—864no—
563C22⋊C4—864no—
564C22⋊C4—864no—
565C22⋊C4—3441no—
566C22⋊C4—3441no—
567C22⋊C4—1722no—
568C42—81no—
569C42—432no—
570C42—432no—
571C42—861no—
572C42—861no—
573C42—3441no—
574C42—3441no—
575C42—1722no—
576C42C2×C4×D4312yes—
577C42#1062190212yes—
578C23—862no—
579C23—862no—
580C23—862no—
581C23—862no—
582C23—1721no—
583C23—1721no—
584C23—1721no—
585C23—1721no—
586C23—1721no—
587C23—1721no—
588C23—1721no—
589C23—1721no—
590C23—1721no—
591C23—1721no—
592C23C2×D4×D4311yescharacteristic
593Q8—862no—
594Q8—862no—
595Q8—1721no—
596Q8—1721no—
597D4—434no—
598D4—862no—
599D4—862no—
600D4—862no—
601D4—862no—
602D4—862no—
603D4—1721no—
604D4—1721no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—41no—
612C2×C4—41no—
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—432no—
622C2×C4—432no—
623C2×C4—861no—
624C2×C4—861no—
625C2×C4—861no—
626C2×C4—861no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—3444no—
636C2×C4—3444no—
637C2×C4—3444no—
638C2×C4—3444no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4#1306328712yes—
644C2×C4#1306328712yes—
645C2×C4C22×C4×D4311yescharacteristic
646C2×C4C2×D4×D4311yescharacteristic
647C2×C4#41×D4311yescharacteristic
648C2×C4#41×D4311yescharacteristic
649C2×C4C2×#1062190211yescharacteristic
650C2×C4C2×#1062190211yescharacteristic
651C8—22no—
652C8—22no—
653C8—1721no—
654C8—1721no—
655C22—864no—
656C22—3441no—
657C22—3441no—
658C22—3441no—
659C22—3441no—
660C22—1722no—
661C22—1722no—
662C22—1722no—
663C22—1722no—
664C22—1722no—
665C22—1722no—
666C22—1722no—
667C22—1722no—
668C22—1722no—
669C22C2×#1306328711yescharacteristic
670C22#121×D4311yescharacteristic
671C22#1458341211yescharacteristic
672C22#1458370011yescharacteristic
673C22#1458370311yescharacteristic
674C22#1458370811yescharacteristic
675C22#1458371211yescharacteristic
676C4—22no—
677C4—22no—
678C4—42no—
679C4—42no—
680C4—81no—
681C4—81no—
682C4—862no—
683C4—862no—
684C4—1722no—
685C4—1722no—
686C4—1721no—
687C4—1721no—
688C4C4×D4×D4311yescharacteristic
689C4C4×#1062190211yescharacteristic
690C4#1458343411yescharacteristic
691C4#1458345011yescharacteristic
692C2—3442no—
693C2—1724no—
694C2#1913710311yescharacteristic
695C2#1914342511yescharacteristic
696C2#1914346911yescharacteristic
697C2#1914409311yescharacteristic
698C2#1914414211yescharacteristic
699C2#1914478611yescharacteristic
700C2#1914486411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1947C2
socleC23×C43C22×D4
prime radicalC22×D344C22
cosocleC22×C4×C43C24
hypercenter#1947D43
hypocenterC43#21509
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1947

Complements

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

NH ≅ G/Ntype
2. C2×#14582998C2semidirect
4. #19137303C2semidirect
5. #19136955C2semidirect
6. #19135527C2semidirect
7. #19135235C2semidirect
8. #19135214C2semidirect
10. #19134930C2semidirect
11. #19134592C2semidirect
12. #19134454C2semidirect
13. #19134419C2semidirect
14. #19134414C2semidirect
15. C43×#1947C2semidirect
24. #14583115C4semidirect
71. C2×#10621873C2×C4semidirect
78. #13063313C2×C4semidirect
82. C4×D172C2×C4semidirect
105. #13063250C2×C4semidirect
108. #13063247C2×C4semidirect
135. C4⋊C8×C43C2×C4semidirect
348. #1947D43semidirect
412. C43#21509semidirect
468. C4⋊C8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831152
C2×#145829982
C2×#145829812
#191373032
#191369552
#191355272
#191352352
#191352142
#191349442
#191349302
#191345922
#191344542
#191344192
#191344142
C43×#19472
#2150943