Finite Group Databasebeta

← #27401382

Subgroups — #27401382

Order 13568.

1038 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810622C211yesmaximal, characteristic
2#20277546C211yesmaximal, characteristic
3#20275404C211yesmaximal, characteristic, complemented
4#20275390C211yesmaximal, characteristic, complemented
5#20275356C211yesmaximal, characteristic, complemented
6#20275349C211yesmaximal, characteristic, complemented
7#20274975C211yesmaximal, characteristic, complemented
8#20274961C211yesmaximal, characteristic, complemented
9#20274805C211yesmaximal, characteristic, complemented
10#20274746C211yesmaximal, characteristic, complemented
11#20274653C211yesmaximal, characteristic
12#20274543C211yesmaximal, characteristic, complemented
13C4×#13133137C211yesmaximal, characteristic, complemented
14#20274499C211yesmaximal, characteristic, complemented
15C53×#2344C211yesmaximal, characteristic, complemented
16C22×#11719945C2211yescharacteristic
17C22×#11719917C2211yescharacteristic
18C2×C4×D212C2211yescharacteristic
19C2×C4×D212C2211yescharacteristic
20C2×#13133150C2211yescharacteristic
21C2×#13133148C2211yescharacteristic
22#16810622C418yescomplemented
23C2×#13133140C2211yescharacteristic
24C2×#13133140C2211yescharacteristic
25C2×#13133140C2211yescharacteristic
26C2×#13133140C2211yescharacteristic
27C2×#13133137C2211yescharacteristic
28C2×#13133137C2211yescharacteristic
29C2×#13133137C2211yescharacteristic
30C2×#13133137C2211yescharacteristic
31C2×C22⋊#88322C2211yescharacteristic
32C2×#13133128C2211yescharacteristic
33C2×C4×#88322C2211yescharacteristic
34#16810529C2211yescharacteristic
35#16810529C2211yescharacteristic
36#16810499—21no—
37#16810499—21no—
38#16810485—21no—
39#16810483C2211yescharacteristic
40#95×D53—21no—
41#16810385C2211yescharacteristic
42#16810385C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810378C2211yescharacteristic
48#16810378C2211yescharacteristic
49C2×#117×C53—21no—
50C22×C4⋊C4×C53C2211yescharacteristic
51C53×#389C2211yescharacteristic
52C53×#389C2211yescharacteristic
53C53×#387—21no—
54C53×#387—21no—
55C53×#381—21no—
56C53×#380C2211yescharacteristic
57C4×C4⋊C4×C53C2211yescharacteristic
58C4×C4⋊C4×C53C2211yescharacteristic
59C4×C22⋊C4×C53C2211yescharacteristic
60C2×#11719945—22no—
61C2×#11719945—22no—
62C2×#11719945—22no—
63C2×#11719945—41no—
64C2×#11719945—41no—
65C2×#11719945C2×C414yes—
66C22×Dic106C2311yescharacteristic
67C22×D212C2311yescharacteristic
68C22×C22⋊D53—21no—
69C22×C4×D53—21no—
70C22×C4×D53—21no—
71C22×C4×D53—21no—
72C2×#11719917—41no—
73C2×#11719917—41no—
74C2×#11719917C2×C414yescomplemented
75C22×#88322C2311yescharacteristic
76C22×#88322C2311yescharacteristic
77C22×#88322C2311yescharacteristic
78C22×#88322C2311yescharacteristic
79C4×D212—22no—
80C4×D212—22no—
81C4×D212—41no—
82C4×D212—41no—
83C2×C4⋊Dic53C2311yescharacteristic
84C2×C4⋊Dic53C2311yescharacteristic
85C2×C22⋊Dic53—21no—
86C2×#11719921—21no—
87C2×#11719921—21no—
88#13133150—41no—
89#13133148—41no—
90#13133140—41no—
91#13133140—41no—
92#13133140C2×C414yescomplemented
93#13133140C2×C414yescomplemented
94#13133137—22no—
95#13133137—22no—
96#13133137C2×C414yes—
97#13133137C2×C414yes—
98C22⋊#88322—22no—
99#13133128—41no—
100C4×#88322—41no—
101#13133124—21no—
102#13133124—21no—
103#13133124—21no—
104#13133124—21no—
105#13133124—21no—
106C23×C4×C53—21no—
107C23×C4×C53C2311yescharacteristic
108#117×C53—44no—
109C2×C4⋊C4×C53—21no—
110C2×C4⋊C4×C53—21no—
111C2×C4⋊C4×C53—21no—
112C2×C4⋊C4×C53—22no—
113C2×C4⋊C4×C53C2×C414yescomplemented
114C2×C4⋊C4×C53C2311yescharacteristic
115C2×C4⋊C4×C53C2311yescharacteristic
116C2×C4⋊C4×C53C2311yescharacteristic
117C2×C4⋊C4×C53C2311yescharacteristic
118C2×C22⋊C4×C53—21no—
119C2×C22⋊C4×C53D411yescharacteristic
120C2×C22⋊C4×C53D411yescharacteristic
121C2×C42×C53—21no—
122C2×C42×C53—21no—
123C2×C42×C53C2311yescharacteristic
124C2×C42×C53C2311yescharacteristic
125#95×C53—21no—
126#95×C53—21no—
127#95×C53—21no—
128#95×C53—21no—
129#95×C53—21no—
130#95×C53D411yescharacteristic
131#95×C53D411yescharacteristic
132C24×C53C2×D411yescharacteristic
133C23×D53—21no—
134C22×C4×C53—21no—
135C22×C4×C53—21no—
136C22×C4×C53—21no—
137C22×C4×C53—21no—
138C22×C4×C53—24no—
139C22×C4×C53—21no—
140C22×C4×C53—21no—
141C22×C4×C53—21no—
142C22×C4×C53—21no—
143C22×C4×C53—42no—
144C22×C4×C53—42no—
145C22×C4×C53C22×C412yes—
146C22×C4×C53C2×D411yescharacteristic
147C22×C4×C53C2×D411yescharacteristic
148C22×C4×C53C2×D411yescharacteristic
149C22×C4×C53C2×D411yescharacteristic
150C22×C4×C53C2×D411yescharacteristic
151C22×C4×C53#4112yes—
152C22×C4×C53C2411yescharacteristic
153C2×C22⋊D53—24no—
154C2×C22⋊D53—42no—
155C2×C22⋊D53—42no—
156C22×Dic53—21no—
157C22×Dic53—21no—
158C22×Dic53—21no—
159#11719945—28no—
160#11719945—44no—
161#11719945—44no—
162#11719945—44no—
163C2×D212—21no—
164C2×D212—21no—
165C2×D212—21no—
166C2×D212C22×C412yes—
167C2×D212#4112yes—
168C2×D212#4112yes—
169C2×C4×D53—24no—
170C2×C4×D53—42no—
171C2×C4×D53—42no—
172C2×C4×D53—42no—
173C2×C4×D53—42no—
174C2×C4×D53—42no—
175C2×C4×D53—42no—
176C2×C4×D53—81no—
177C2×C4×D53—81no—
178C2×Dic106—21no—
179C2×Dic106—21no—
180C2×Dic106—21no—
181C2×Dic106—21no—
182C2×Dic106—21no—
183C2×Dic106C22×C412yes—
184C4⋊C4×C53—24no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—21no—
187C4⋊C4×C53—21no—
188C4⋊C4×C53—21no—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—42no—
192C4⋊C4×C53—42no—
193C4⋊C4×C53C22×C412yes—
194C4⋊C4×C53C22×C412yes—
195C22⋊C4×C53—22no—
196C22⋊C4×C53—41no—
197C22⋊C4×C53—42no—
198C42×C53—21no—
199C42×C53—21no—
200C42×C53—21no—
201C42×C53—21no—
202C42×C53—42no—
203C42×C53—42no—
204C22⋊Dic53—81no—
205#11719921—42no—
206#11719921—42no—
207C4⋊Dic53—21no—
208C4⋊Dic53—21no—
209C4⋊Dic53—21no—
210C4⋊Dic53—21no—
211#11719917—44no—
212C2×#88322—21no—
213C2×#88322—21no—
214C2×#88322—21no—
215C2×#88322—21no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—21no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322C22×C412yes—
223C2×#88322C22×C412yes—
224C23×C53—21no—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53C4×D412yes—
231C23×C53C22×D411yescharacteristic
232C22×D53—22no—
233C22×D53—22no—
234C22×D53—22no—
235C22×D53—41no—
236C22×D53—41no—
237C22×D53—41no—
238C22×D53—41no—
239C2×C4×C53—21no—
240C2×C4×C53—21no—
241C2×C4×C53—21no—
242C2×C4×C53—21no—
243C2×C4×C53—22no—
244C2×C4×C53—22no—
245C2×C4×C53—22no—
246C2×C4×C53—22no—
247C2×C4×C53—22no—
248C2×C4×C53—22no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—21no—
256C2×C4×C53—21no—
257C2×C4×C53—21no—
258C2×C4×C53—48no—
259C2×C4×C53—41no—
260C2×C4×C53—41no—
261C2×C4×C53—41no—
262C2×C4×C53—41no—
263C2×C4×C53—41no—
264C2×C4×C53—41no—
265C2×C4×C53—41no—
266C2×C4×C53—41no—
267C2×C4×C53—41no—
268C2×C4×C53—41no—
269C2×C4×C53C4×D412yes—
270C2×C4×C53AGL(1,ℤ/8)12yes—
271C2×C4×C53C23×C411yescharacteristic
272C2×C4×C53C2×#4111yescharacteristic
273C2×C4×C53C2×#4111yescharacteristic
274C2×C4×C53C2×#4111yescharacteristic
275C2×C4×C53H(5,𝔽2)11yescharacteristic
276C2×C4×C53H(5,𝔽2)11yescharacteristic
277C22⋊D53—48no—
278C2×Dic53—22no—
279C2×Dic53—41no—
280C2×Dic53—41no—
281C2×Dic53—41no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287D212—22no—
288D212—22no—
289D212—22no—
290D212#11714yescomplemented
291C4×D53—48no—
292C4×D53—84no—
293C4×D53—84no—
294Dic106—22no—
295Dic106—22no—
296Dic106—41no—
297Dic106—41no—
298#88322—22no—
299#88322—22no—
300#88322—41no—
301#88322—41no—
302#22582—531nomaximal, Sylow
303C22×C53—22no—
304C22×C53—22no—
305C22×C53—22no—
306C22×C53—41no—
307C22×C53—41no—
308C22×C53—41no—
309C22×C53—41no—
310C22×C53C2×C4×D411yescharacteristic
311C22×C53#54611yescharacteristic
312C22×C53#54611yescharacteristic
313C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C53#57511yescharacteristic
315C22×C53#57711yescharacteristic
316C22×C53#57811yescharacteristic
317C2×D53—24no—
318C2×D53—42no—
319C2×D53—42no—
320C2×D53—42no—
321C2×D53—42no—
322C2×D53—42no—
323C2×D53—42no—
324C4×C53—22no—
325C4×C53—22no—
326C4×C53—41no—
327C4×C53—42no—
328C4×C53—42no—
329C4×C53—41no—
330C4×C53—41no—
331C4×C53—81no—
332C4×C53—81no—
333C4×C53C2×#11711yescharacteristic
334C4×C53#51811yescharacteristic
335C4×C53#55111yescharacteristic
336C4×C53#55111yescharacteristic
337Dic53—42no—
338Dic53—81no—
339Dic53—81no—
340C2×#417—531no—
341#2344D5311yescharacteristic, complemented
342#2339—531no—
343#1935—531no—
344#1933—531no—
345#1928—531no—
346#1927—531no—
347#1864—531no—
348#1862—531no—
349#1824—531no—
350#1809—531no—
351#1788—531no—
352#1762—531no—
353C4×#102—531no—
354#1753—531no—
355C2×C53—42no—
356C2×C53#234211yescharacteristic
357C2×C53C4×AGL(1,ℤ/8)11yescharacteristic
358C2×C53#294711yescharacteristic
359C2×C53#330611yescharacteristic
360C2×C53#331511yescharacteristic
361C2×C53#332311yescharacteristic
362C2×C53#333011yescharacteristic
363D53—44no—
364C22×#41—531no—
365C22×M16—531no—
366C2×C4×D4—531no—
367C2×C4×D4—531no—
368C2×#117—21no—
369C22×C4⋊C4C2×D5311yescharacteristic
370C2×#107—531no—
371C2×#106—531no—
372#417—538no—
373C2×#103—531no—
374C2×#103—531no—
375C2×#103—531no—
376C2×#103—531no—
377C2×#102—531no—
378C2×#102—531no—
379C2×#102—531no—
380C2×#102—531no—
381C2×C22⋊C8—531no—
382C2×#97—531no—
383C2×C4×C8—531no—
384#391—531no—
385#391—531no—
386#389C2×D5311yescharacteristic
387#389C2×D5311yescharacteristic
388#387—21no—
389#387—21no—
390#386—1061no—
391#386—1061no—
392#381—21no—
393#381—1061no—
394#380—531no—
395#380C2×D5311yescharacteristic
396C4×C4⋊C4C2×D5311yescharacteristic
397C4×C4⋊C4C2×D5311yescharacteristic
398C4×C22⋊C4C2×D5311yescharacteristic
399C2×#95—1061no—
400#340—531no—
401#340—531no—
402#340—531no—
403#340—531no—
404#340—531no—
405#340—531no—
406#336—531no—
407#336—531no—
408C53#2258211yescharacteristic, complemented, Sylow
409C2×#41—534no—
410C2×#41—1062no—
411C2×#41—1062no—
412C2×#41—1062no—
413C2×#41—2121no—
414C2×#41—2121no—
415C22×Q8—531no—
416C22×D4—531no—
417C22×D4—1061no—
418C23×C4—21no—
419C23×C4—1061no—
420C23×C4—1061no—
421C23×C4—1061no—
422C23×C4C22×D5311yescharacteristic
423C2×M16—534no—
424C2×M16—2121no—
425C2×M16—2121no—
426C22×C8—531no—
427C22×C8—531no—
428C22×C8—531no—
429C22×C8—531no—
430C4×D4—1062no—
431C4×D4—1062no—
432C4×D4—2121no—
433C4×D4—2121no—
434#117—44no—
435C2×C4⋊C4—22no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—531no—
440C2×C4⋊C4—531no—
441C2×C4⋊C4C4×D5314yescomplemented
442C2×C4⋊C4C22×D5311yescharacteristic
443C2×C4⋊C4C22×D5311yescharacteristic
444C2×C4⋊C4C22×D5311yescharacteristic
445C2×C4⋊C4C22×D5311yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—1061no—
448C2×C22⋊C4—1061no—
449C2×C22⋊C4—1061no—
450C2×C22⋊C4C22⋊D5311yescharacteristic
451C2×C22⋊C4C22⋊D5311yescharacteristic
452C2×C42—21no—
453C2×C42—21no—
454C2×C42C22×D5311yescharacteristic
455C2×C42C22×D5311yescharacteristic
456#107—2121no—
457#106—2121no—
458#103—534no—
459#103—534no—
460#103—2121no—
461#103—2121no—
462#102—534no—
463#102—534no—
464#102—1062no—
465#102—1062no—
466C22⋊C8—1062no—
467#97—2121no—
468C4×C8—2121no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—1061no—
475#95—1061no—
476#95—1061no—
477#95—1061no—
478#95—1061no—
479#95C22⋊D5311yescharacteristic
480#95C22⋊D5311yescharacteristic
481C24—1061no—
482C24C2×C22⋊D5311yescharacteristic
483#41—1068no—
484#41—2124no—
485#41—2124no—
486#41—2124no—
487C2×Q8—532no—
488C2×Q8—1061no—
489C2×Q8—1061no—
490C2×Q8—1061no—
491C2×Q8—1061no—
492C2×Q8—1061no—
493C2×D4—532no—
494C2×D4—532no—
495C2×D4—532no—
496C2×D4—1064no—
497C2×D4—1061no—
498C2×D4—1061no—
499C2×D4—1061no—
500C2×D4—2122no—
501C2×D4—2122no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—24no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—1061no—
514C22×C4—1064no—
515C22×C4—1061no—
516C22×C4—1061no—
517C22×C4—4241no—
518C22×C4—4241no—
519C22×C4—2122no—
520C22×C4—2122no—
521C22×C4—2122no—
522C22×C4—2122no—
523C22×C4—2122no—
524C22×C4—2122no—
525C22×C4C2×C4×D5312yes—
526C22×C4#1171994512yes—
527C22×C4C2×C22⋊D5311yescharacteristic
528C22×C4C2×C22⋊D5311yescharacteristic
529C22×C4C2×C22⋊D5311yescharacteristic
530C22×C4C2×C22⋊D5311yescharacteristic
531C22×C4C2×C22⋊D5311yescharacteristic
532C22×C4C23×D5311yescharacteristic
533M16—2124no—
534C2×C8—532no—
535C2×C8—532no—
536C2×C8—1061no—
537C2×C8—1061no—
538C2×C8—1061no—
539C2×C8—1061no—
540C2×C8—1061no—
541C2×C8—1061no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8—1061no—
546C4⋊C4—24no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—1061no—
556C4⋊C4—1061no—
557C4⋊C4—1061no—
558C4⋊C4—1061no—
559C4⋊C4C2×C4×D5312yes—
560C4⋊C4C2×C4×D5312yes—
561C22⋊C4—22no—
562C22⋊C4—41no—
563C22⋊C4—42no—
564C22⋊C4—4241no—
565C22⋊C4—2122no—
566C22⋊C4—2122no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—42no—
572C42—42no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—1062no—
580C23—1062no—
581C23—1062no—
582C23—2121no—
583C23—2121no—
584C23—2121no—
585C23—2121no—
586C23C4×C22⋊D5312yes—
587C23C22×C22⋊D5311yescharacteristic
588Q8—1062no—
589Q8—1062no—
590Q8—2121no—
591Q8—2121no—
592D4—534no—
593D4—1062no—
594D4—1062no—
595D4—1062no—
596D4—2128no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
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—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—48no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—1062no—
628C2×C4—4244no—
629C2×C4—4244no—
630C2×C4—2128no—
631C2×C4—2121no—
632C2×C4—2121no—
633C2×C4—2121no—
634C2×C4—2121no—
635C2×C4—2121no—
636C2×C4—2121no—
637C2×C4—2121no—
638C2×C4—2121no—
639C2×C4C4×C22⋊D5312yes—
640C2×C4#1313324312yes—
641C2×C4C22×C4×D5311yescharacteristic
642C2×C4#41×D5311yescharacteristic
643C2×C4#41×D5311yescharacteristic
644C2×C4C2×#1171994511yescharacteristic
645C2×C4#1313326311yescharacteristic
646C2×C4#1313326311yescharacteristic
647C8—1062no—
648C8—1062no—
649C8—2121no—
650C8—2121no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—1064no—
659C22—2122no—
660C22—2122no—
661C22—2122no—
662C22—2122no—
663C22—2122no—
664C22—2122no—
665C22C2×C4×C22⋊D5311yescharacteristic
666C22#1681126111yescharacteristic
667C22#1681126111yescharacteristic
668C22C2×#1313324311yescharacteristic
669C22#1681142111yescharacteristic
670C22#1681143111yescharacteristic
671C22#1681143811yescharacteristic
672C4—22no—
673C4—22no—
674C4—41no—
675C4—41no—
676C4—42no—
677C4—42no—
678C4—41no—
679C4—81no—
680C4—81no—
681C4—4241no—
682C4—4241no—
683C4—2122no—
684C4#117×D5311yescharacteristic
685C4#1681109711yescharacteristic
686C4#1681129711yescharacteristic
687C4#1681129711yescharacteristic
688C2—42no—
689C2—2124no—
690C2#2027756511yescharacteristic
691C2C4×#1313324311yescharacteristic
692C2#2028355811yescharacteristic
693C2#2028667011yescharacteristic
694C2#2028680511yescharacteristic
695C2#2028692511yescharacteristic
696C2#2028701411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#2344C2
socleC23×C53C22×D4
prime radicalC22×#11719945C22
cosocleC22×C4×C53C24
hypercenter#2344D53
hypocenterC53#22582
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2344

Complements

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

NH ≅ G/Ntype
3. #20275404C2semidirect
4. #20275390C2semidirect
5. #20275356C2semidirect
6. #20275349C2semidirect
7. #20274975C2semidirect
8. #20274961C2semidirect
9. #20274805C2semidirect
10. #20274746C2semidirect
12. #20274543C2semidirect
13. C4×#13133137C2semidirect
14. #20274499C2semidirect
15. C53×#2344C2semidirect
22. #16810622C4semidirect
74. C2×#11719917C2×C4semidirect
92. #13133140C2×C4semidirect
93. #13133140C2×C4semidirect
113. C2×C4⋊C4×C53C2×C4semidirect
290. D212#117semidirect
341. #2344D53semidirect
408. C53#22582semidirect
441. C2×C4⋊C4C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168106222
#202775462
#202754042
#202753902
#202753562
#202753492
#202749752
#202749612
#202748052
#202747462
#202746532
#202745432
C4×#131331372
#202744992
C53×#23442
#2258253