Finite Group Databasebeta

← #29697303

Subgroups — #29697303

Order 15616.

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×#16839761C211yesmaximal, characteristic
2#21448650C211yesmaximal, characteristic
3#21446508C211yesmaximal, characteristic, complemented
4#21446494C211yesmaximal, characteristic, complemented
5#21446460C211yesmaximal, characteristic, complemented
6#21446453C211yesmaximal, characteristic, complemented
7#21446079C211yesmaximal, characteristic, complemented
8#21446065C211yesmaximal, characteristic, complemented
9#21445909C211yesmaximal, characteristic, complemented
10#21445850C211yesmaximal, characteristic, complemented
11#21445757C211yesmaximal, characteristic
12#21445647C211yesmaximal, characteristic, complemented
13C4×#14519697C211yesmaximal, characteristic, complemented
14#21445603C211yesmaximal, characteristic, complemented
15C61×#2344C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C22×#11758194C2211yescharacteristic
18C2×C4×D244C2211yescharacteristic
19C2×C4×D244C2211yescharacteristic
20C2×#14519710C2211yescharacteristic
21C2×#14519708C2211yescharacteristic
22#16839761C418yescomplemented
23C2×#14519700C2211yescharacteristic
24C2×#14519700C2211yescharacteristic
25C2×#14519700C2211yescharacteristic
26C2×#14519700C2211yescharacteristic
27C2×#14519697C2211yescharacteristic
28C2×#14519697C2211yescharacteristic
29C2×#14519697C2211yescharacteristic
30C2×#14519697C2211yescharacteristic
31C2×C22⋊#92418C2211yescharacteristic
32C2×#14519688C2211yescharacteristic
33C2×C4×#92418C2211yescharacteristic
34#16839668C2211yescharacteristic
35#16839668C2211yescharacteristic
36#16839638—21no—
37#16839638—21no—
38#16839624—21no—
39#16839622C2211yescharacteristic
40#95×D61—21no—
41#16839524C2211yescharacteristic
42#16839524C2211yescharacteristic
43#16839524C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839517C2211yescharacteristic
48#16839517C2211yescharacteristic
49C2×#117×C61—21no—
50C22×C4⋊C4×C61C2211yescharacteristic
51C61×#389C2211yescharacteristic
52C61×#389C2211yescharacteristic
53C61×#387—21no—
54C61×#387—21no—
55C61×#381—21no—
56C61×#380C2211yescharacteristic
57C4×C4⋊C4×C61C2211yescharacteristic
58C4×C4⋊C4×C61C2211yescharacteristic
59C4×C22⋊C4×C61C2211yescharacteristic
60C2×#11758222—22no—
61C2×#11758222—22no—
62C2×#11758222—22no—
63C2×#11758222—41no—
64C2×#11758222—41no—
65C2×#11758222C2×C414yes—
66C22×Dic122C2311yescharacteristic
67C22×D244C2311yescharacteristic
68C22×C22⋊D61—21no—
69C22×C4×D61—21no—
70C22×C4×D61—21no—
71C22×C4×D61—21no—
72C2×#11758194—41no—
73C2×#11758194—41no—
74C2×#11758194C2×C414yescomplemented
75C22×#92418C2311yescharacteristic
76C22×#92418C2311yescharacteristic
77C22×#92418C2311yescharacteristic
78C22×#92418C2311yescharacteristic
79C4×D244—22no—
80C4×D244—22no—
81C4×D244—41no—
82C4×D244—41no—
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C22⋊Dic61—21no—
86C2×#11758198—21no—
87C2×#11758198—21no—
88#14519710—41no—
89#14519708—41no—
90#14519700—41no—
91#14519700—41no—
92#14519700C2×C414yescomplemented
93#14519700C2×C414yescomplemented
94#14519697—22no—
95#14519697—22no—
96#14519697C2×C414yes—
97#14519697C2×C414yes—
98C22⋊#92418—22no—
99#14519688—41no—
100C4×#92418—41no—
101#14519684—21no—
102#14519684—21no—
103#14519684—21no—
104#14519684—21no—
105#14519684—21no—
106C23×C4×C61—21no—
107C23×C4×C61C2311yescharacteristic
108#117×C61—44no—
109C2×C4⋊C4×C61—21no—
110C2×C4⋊C4×C61—22no—
111C2×C4⋊C4×C61—21no—
112C2×C4⋊C4×C61—21no—
113C2×C4⋊C4×C61C2×C414yescomplemented
114C2×C4⋊C4×C61C2311yescharacteristic
115C2×C4⋊C4×C61C2311yescharacteristic
116C2×C4⋊C4×C61C2311yescharacteristic
117C2×C4⋊C4×C61C2311yescharacteristic
118C2×C22⋊C4×C61—21no—
119C2×C22⋊C4×C61D411yescharacteristic
120C2×C22⋊C4×C61D411yescharacteristic
121C2×C42×C61—21no—
122C2×C42×C61—21no—
123C2×C42×C61C2311yescharacteristic
124C2×C42×C61C2311yescharacteristic
125#95×C61—21no—
126#95×C61—21no—
127#95×C61—21no—
128#95×C61—21no—
129#95×C61—21no—
130#95×C61D411yescharacteristic
131#95×C61D411yescharacteristic
132C24×C61C2×D411yescharacteristic
133C23×D61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—24no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—42no—
144C22×C4×C61—42no—
145C22×C4×C61C22×C412yes—
146C22×C4×C61C2×D411yescharacteristic
147C22×C4×C61C2×D411yescharacteristic
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61#4112yes—
152C22×C4×C61C2411yescharacteristic
153C2×C22⋊D61—24no—
154C2×C22⋊D61—42no—
155C2×C22⋊D61—42no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159#11758222—28no—
160#11758222—44no—
161#11758222—44no—
162#11758222—44no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244C22×C412yes—
167C2×D244#4112yes—
168C2×D244#4112yes—
169C2×C4×D61—24no—
170C2×C4×D61—42no—
171C2×C4×D61—42no—
172C2×C4×D61—42no—
173C2×C4×D61—42no—
174C2×C4×D61—42no—
175C2×C4×D61—42no—
176C2×C4×D61—81no—
177C2×C4×D61—81no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122—21no—
183C2×Dic122C22×C412yes—
184C4⋊C4×C61—24no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—42no—
192C4⋊C4×C61—42no—
193C4⋊C4×C61C22×C412yes—
194C4⋊C4×C61C22×C412yes—
195C22⋊C4×C61—22no—
196C22⋊C4×C61—41no—
197C22⋊C4×C61—42no—
198C42×C61—21no—
199C42×C61—21no—
200C42×C61—21no—
201C42×C61—21no—
202C42×C61—42no—
203C42×C61—42no—
204C22⋊Dic61—81no—
205#11758198—42no—
206#11758198—42no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211#11758194—44no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418C22×C412yes—
223C2×#92418C22×C412yes—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61C4×D412yes—
231C23×C61C22×D411yescharacteristic
232C22×D61—22no—
233C22×D61—22no—
234C22×D61—22no—
235C22×D61—41no—
236C22×D61—41no—
237C22×D61—41no—
238C22×D61—41no—
239C2×C4×C61—21no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—48no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61C4×D412yes—
270C2×C4×C61AGL(1,ℤ/8)12yes—
271C2×C4×C61C23×C411yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61H(5,𝔽2)11yescharacteristic
276C2×C4×C61H(5,𝔽2)11yescharacteristic
277C22⋊D61—48no—
278C2×Dic61—22no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287D244—22no—
288D244—22no—
289D244—22no—
290D244#11714yescomplemented
291C4×D61—48no—
292C4×D61—84no—
293C4×D61—84no—
294Dic122—22no—
295Dic122—22no—
296Dic122—41no—
297Dic122—41no—
298#92418—22no—
299#92418—22no—
300#92418—41no—
301#92418—41no—
302#22582—611nomaximal, Sylow
303C22×C61—22no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—41no—
307C22×C61—41no—
308C22×C61—41no—
309C22×C61—41no—
310C22×C61C2×C4×D411yescharacteristic
311C22×C61#54611yescharacteristic
312C22×C61#54611yescharacteristic
313C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C61#57511yescharacteristic
315C22×C61#57711yescharacteristic
316C22×C61#57811yescharacteristic
317C2×D61—24no—
318C2×D61—42no—
319C2×D61—42no—
320C2×D61—42no—
321C2×D61—42no—
322C2×D61—42no—
323C2×D61—42no—
324C4×C61—22no—
325C4×C61—22no—
326C4×C61—41no—
327C4×C61—42no—
328C4×C61—42no—
329C4×C61—41no—
330C4×C61—41no—
331C4×C61—81no—
332C4×C61—81no—
333C4×C61C2×#11711yescharacteristic
334C4×C61#51811yescharacteristic
335C4×C61#55111yescharacteristic
336C4×C61#55111yescharacteristic
337Dic61—42no—
338Dic61—81no—
339Dic61—81no—
340C2×#417—611no—
341#2344D6111yescharacteristic, complemented
342#2339—611no—
343#1935—611no—
344#1933—611no—
345#1928—611no—
346#1927—611no—
347#1864—611no—
348#1862—611no—
349#1824—611no—
350#1809—611no—
351#1788—611no—
352#1762—611no—
353C4×#102—611no—
354#1753—611no—
355C2×C61—42no—
356C2×C61#234211yescharacteristic
357C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
358C2×C61#294711yescharacteristic
359C2×C61#330611yescharacteristic
360C2×C61#331511yescharacteristic
361C2×C61#332311yescharacteristic
362C2×C61#333011yescharacteristic
363D61—44no—
364C22×#41—611no—
365C22×M16—611no—
366C2×C4×D4—611no—
367C2×C4×D4—611no—
368C2×#117—21no—
369C22×C4⋊C4C2×D6111yescharacteristic
370C2×#107—611no—
371C2×#106—611no—
372#417—618no—
373C2×#103—611no—
374C2×#103—611no—
375C2×#103—611no—
376C2×#103—611no—
377C2×#102—611no—
378C2×#102—611no—
379C2×#102—611no—
380C2×#102—611no—
381C2×C22⋊C8—611no—
382C2×#97—611no—
383C2×C4×C8—611no—
384#391—611no—
385#391—611no—
386#389C2×D6111yescharacteristic
387#389C2×D6111yescharacteristic
388#387—21no—
389#387—21no—
390#386—1221no—
391#386—1221no—
392#381—21no—
393#381—1221no—
394#380—611no—
395#380C2×D6111yescharacteristic
396C4×C4⋊C4C2×D6111yescharacteristic
397C4×C4⋊C4C2×D6111yescharacteristic
398C4×C22⋊C4C2×D6111yescharacteristic
399C2×#95—1221no—
400#340—611no—
401#340—611no—
402#340—611no—
403#340—611no—
404#340—611no—
405#340—611no—
406#336—611no—
407#336—611no—
408C61#2258211yescharacteristic, complemented, Sylow
409C2×#41—614no—
410C2×#41—1222no—
411C2×#41—1222no—
412C2×#41—1222no—
413C2×#41—2441no—
414C2×#41—2441no—
415C22×Q8—611no—
416C22×D4—611no—
417C22×D4—1221no—
418C23×C4—21no—
419C23×C4—1221no—
420C23×C4—1221no—
421C23×C4—1221no—
422C23×C4C22×D6111yescharacteristic
423C2×M16—614no—
424C2×M16—2441no—
425C2×M16—2441no—
426C22×C8—611no—
427C22×C8—611no—
428C22×C8—611no—
429C22×C8—611no—
430C4×D4—1222no—
431C4×D4—1222no—
432C4×D4—2441no—
433C4×D4—2441no—
434#117—44no—
435C2×C4⋊C4—22no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—611no—
440C2×C4⋊C4—611no—
441C2×C4⋊C4C4×D6114yescomplemented
442C2×C4⋊C4C22×D6111yescharacteristic
443C2×C4⋊C4C22×D6111yescharacteristic
444C2×C4⋊C4C22×D6111yescharacteristic
445C2×C4⋊C4C22×D6111yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—1221no—
448C2×C22⋊C4—1221no—
449C2×C22⋊C4—1221no—
450C2×C22⋊C4C22⋊D6111yescharacteristic
451C2×C22⋊C4C22⋊D6111yescharacteristic
452C2×C42—21no—
453C2×C42—21no—
454C2×C42C22×D6111yescharacteristic
455C2×C42C22×D6111yescharacteristic
456#107—2441no—
457#106—2441no—
458#103—614no—
459#103—614no—
460#103—2441no—
461#103—2441no—
462#102—614no—
463#102—614no—
464#102—1222no—
465#102—1222no—
466C22⋊C8—1222no—
467#97—2441no—
468C4×C8—2441no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—1221no—
475#95—1221no—
476#95—1221no—
477#95—1221no—
478#95—1221no—
479#95C22⋊D6111yescharacteristic
480#95C22⋊D6111yescharacteristic
481C24—1221no—
482C24C2×C22⋊D6111yescharacteristic
483#41—1228no—
484#41—2444no—
485#41—2444no—
486#41—2444no—
487C2×Q8—612no—
488C2×Q8—1221no—
489C2×Q8—1221no—
490C2×Q8—1221no—
491C2×Q8—1221no—
492C2×Q8—1221no—
493C2×D4—612no—
494C2×D4—612no—
495C2×D4—612no—
496C2×D4—1224no—
497C2×D4—1221no—
498C2×D4—1221no—
499C2×D4—1221no—
500C2×D4—2442no—
501C2×D4—2442no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—1221no—
514C22×C4—1224no—
515C22×C4—1221no—
516C22×C4—1221no—
517C22×C4—4881no—
518C22×C4—4881no—
519C22×C4—2442no—
520C22×C4—2442no—
521C22×C4—2442no—
522C22×C4—2442no—
523C22×C4—2442no—
524C22×C4—2442no—
525C22×C4C2×C4×D6112yes—
526C22×C4#1175822212yes—
527C22×C4C2×C22⋊D6111yescharacteristic
528C22×C4C2×C22⋊D6111yescharacteristic
529C22×C4C2×C22⋊D6111yescharacteristic
530C22×C4C2×C22⋊D6111yescharacteristic
531C22×C4C2×C22⋊D6111yescharacteristic
532C22×C4C23×D6111yescharacteristic
533M16—2444no—
534C2×C8—612no—
535C2×C8—612no—
536C2×C8—1221no—
537C2×C8—1221no—
538C2×C8—1221no—
539C2×C8—1221no—
540C2×C8—1221no—
541C2×C8—1221no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—24no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4C2×C4×D6112yes—
560C4⋊C4C2×C4×D6112yes—
561C22⋊C4—22no—
562C22⋊C4—41no—
563C22⋊C4—42no—
564C22⋊C4—4881no—
565C22⋊C4—2442no—
566C22⋊C4—2442no—
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—1222no—
580C23—1222no—
581C23—1222no—
582C23—2441no—
583C23—2441no—
584C23—2441no—
585C23—2441no—
586C23C4×C22⋊D6112yes—
587C23C22×C22⋊D6111yescharacteristic
588Q8—1222no—
589Q8—1222no—
590Q8—2441no—
591Q8—2441no—
592D4—614no—
593D4—1222no—
594D4—1222no—
595D4—1222no—
596D4—2448no—
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—1222no—
628C2×C4—4884no—
629C2×C4—4884no—
630C2×C4—2448no—
631C2×C4—2441no—
632C2×C4—2441no—
633C2×C4—2441no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4C4×C22⋊D6112yes—
640C2×C4#1451980312yes—
641C2×C4C22×C4×D6111yescharacteristic
642C2×C4#41×D6111yescharacteristic
643C2×C4#41×D6111yescharacteristic
644C2×C4C2×#1175822211yescharacteristic
645C2×C4#1451982311yescharacteristic
646C2×C4#1451982311yescharacteristic
647C8—1222no—
648C8—1222no—
649C8—2441no—
650C8—2441no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—1224no—
659C22—2442no—
660C22—2442no—
661C22—2442no—
662C22—2442no—
663C22—2442no—
664C22—2442no—
665C22C2×C4×C22⋊D6111yescharacteristic
666C22#1684040011yescharacteristic
667C22#1684040011yescharacteristic
668C22C2×#1451980311yescharacteristic
669C22#1684056011yescharacteristic
670C22#1684057011yescharacteristic
671C22#1684057711yescharacteristic
672C4—22no—
673C4—22no—
674C4—42no—
675C4—42no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—81no—
680C4—81no—
681C4—4881no—
682C4—4881no—
683C4—2442no—
684C4#117×D6111yescharacteristic
685C4#1684023611yescharacteristic
686C4#1684043611yescharacteristic
687C4#1684043611yescharacteristic
688C2—42no—
689C2—2444no—
690C2#2144866911yescharacteristic
691C2C4×#1451980311yescharacteristic
692C2#2145466211yescharacteristic
693C2#2145777411yescharacteristic
694C2#2145790911yescharacteristic
695C2#2145802911yescharacteristic
696C2#2145811811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2344C2
socleC23×C61C22×D4
prime radicalC22×#11758222C22
cosocleC22×C4×C61C24
hypercenter#2344D61
hypocenterC61#22582
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2344

Complements

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

NH ≅ G/Ntype
3. #21446508C2semidirect
4. #21446494C2semidirect
5. #21446460C2semidirect
6. #21446453C2semidirect
7. #21446079C2semidirect
8. #21446065C2semidirect
9. #21445909C2semidirect
10. #21445850C2semidirect
12. #21445647C2semidirect
13. C4×#14519697C2semidirect
14. #21445603C2semidirect
15. C61×#2344C2semidirect
22. #16839761C4semidirect
74. C2×#11758194C2×C4semidirect
92. #14519700C2×C4semidirect
93. #14519700C2×C4semidirect
113. C2×C4⋊C4×C61C2×C4semidirect
290. D244#117semidirect
341. #2344D61semidirect
408. C61#22582semidirect
441. C2×C4⋊C4C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168397612
#214486502
#214465082
#214464942
#214464602
#214464532
#214460792
#214460652
#214459092
#214458502
#214457572
#214456472
C4×#145196972
#214456032
C61×#23442
#2258261