Finite Group Databasebeta

← C29×#32635 #20327535

Subgroups — C29×#32635 #20327535

Order 7424.

736 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C29×#2584C211yesmaximal, characteristic, complemented
2C29×#2548C211yesmaximal, characteristic
3C29×#2067C211yesmaximal, characteristic, complemented
4C29×#2065C211yesmaximal, characteristic, complemented
5C29×#2041C211yesmaximal, characteristic
6C29×#2041C211yesmaximal, characteristic
7C29×#2025C211yesmaximal, characteristic, complemented
8C29×#2025C211yesmaximal, characteristic, complemented
9C29×#1984C211yesmaximal, characteristic, complemented
10C29×#1934C211yesmaximal, characteristic, complemented
11C29×#1934C211yesmaximal, characteristic, complemented
12C29×#1926C211yesmaximal, characteristic, complemented
13C29×#1925C211yesmaximal, characteristic, complemented
14C29×#1921C211yesmaximal, characteristic, complemented
15C29×#1919C211yesmaximal, characteristic, complemented
16C2×C29×#127C2211yescharacteristic
17C2×C29×#125C2211yescharacteristic
18C2×C29×#124—21no—
19C2×C4×Q8×C29C2211yescharacteristic
20C2×C29×#107C2211yescharacteristic
21C2×C29×#106C2211yescharacteristic
22C2×C29×C4⋊C8C2211yescharacteristic
23C2×C29×#102C2211yescharacteristic
24C2×C29×#102C2211yescharacteristic
25C2×C29×#102C2211yescharacteristic
26C2×C29×#102C2211yescharacteristic
27C2×C29×#102C2211yescharacteristic
28C2×C29×#102C2211yescharacteristic
29C2×C29×#102C2211yescharacteristic
30C2×C29×#102C2211yescharacteristic
31C2×C4×C8×C29C2211yescharacteristic
32C29×#398—21no—
33C29×#395—21no—
34C29×#394—21no—
35C29×#394—21no—
36C29×#390—21no—
37C29×#390C2211yescharacteristic
38C29×#390C2211yescharacteristic
39C29×#390C2211yescharacteristic
40C29×#390C2211yescharacteristic
41C29×#389—21no—
42C29×#389—21no—
43C29×#389C2211yescharacteristic
44C29×#389C2211yescharacteristic
45C29×#389C2211yescharacteristic
46C29×#389C2211yescharacteristic
47C4×C4⋊C4×C29C2211yescharacteristic
48C4×C4⋊C4×C29C2211yescharacteristic
49C29×#340C2211yescharacteristic
50C29×#340C2211yescharacteristic
51C29×#340C2211yescharacteristic
52C29×#340C2211yescharacteristic
53C29×#340C2211yescharacteristic
54C29×#340C2211yescharacteristic
55C29×#336C2211yescharacteristic
56C29×#336C2211yescharacteristic
57C29×#336C2211yescharacteristic
58C29×#336C2211yescharacteristic
59C22×Q8×C29D411yescharacteristic
60C22×D4×C29—21no—
61C22×D4×C29—21no—
62C22×D4×C29C2311yescharacteristic
63C22×D4×C29C2311yescharacteristic
64C22×C8×C29C2311yescharacteristic
65C22×C8×C29C2311yescharacteristic
66C22×C8×C29C2311yescharacteristic
67C22×C8×C29C2311yescharacteristic
68C29×#127—41no—
69C29×#127—41no—
70C29×#125—41no—
71C29×#125—41no—
72C29×#124—44no—
73C4×Q8×C29—41no—
74C4×Q8×C29—41no—
75C2×C4⋊C4×C29—21no—
76C2×C4⋊C4×C29—21no—
77C2×C4⋊C4×C29—21no—
78C2×C4⋊C4×C29—21no—
79C2×C4⋊C4×C29—21no—
80C2×C4⋊C4×C29—21no—
81C2×C4⋊C4×C29D411yescharacteristic
82C2×C4⋊C4×C29D411yescharacteristic
83C2×C4⋊C4×C29D411yescharacteristic
84C2×C4⋊C4×C29C2311yescharacteristic
85C2×C4⋊C4×C29C2311yescharacteristic
86C2×C4⋊C4×C29C2311yescharacteristic
87C2×C4⋊C4×C29C2311yescharacteristic
88C2×C4⋊C4×C29C2311yescharacteristic
89C2×C4⋊C4×C29C2311yescharacteristic
90C2×C22⋊C4×C29—21no—
91C2×C22⋊C4×C29—21no—
92C2×C22⋊C4×C29—21no—
93C2×C22⋊C4×C29—21no—
94C2×C22⋊C4×C29—21no—
95C2×C22⋊C4×C29—21no—
96C2×C22⋊C4×C29—21no—
97C2×C22⋊C4×C29—21no—
98C2×C42×C29—21no—
99C2×C42×C29—21no—
100C2×C42×C29C2311yescharacteristic
101C2×C42×C29C2311yescharacteristic
102C2×C42×C29C2311yescharacteristic
103C29×#107—22no—
104C29×#106—22no—
105C29×C4⋊C8—41no—
106C29×#102—22no—
107C29×#102—22no—
108C29×#102—22no—
109C29×#102—22no—
110C29×#102—41no—
111C29×#102—41no—
112C29×#102—41no—
113C29×#102—41no—
114C4×C8×C29—41no—
115C29×#95—21no—
116C29×#95—21no—
117C29×#95—21no—
118C29×#95—21no—
119C29×#95—21no—
120C29×#95—21no—
121C24×C29—21no—
122C24×C29—21no—
123C2×Q8×C29—22no—
124C2×Q8×C29—22no—
125C2×Q8×C29—41no—
126C2×D4×C29—21no—
127C2×D4×C29—21no—
128C2×D4×C29—21no—
129C2×D4×C29—21no—
130C2×D4×C29—21no—
131C2×D4×C29—21no—
132C2×D4×C29—21no—
133C2×D4×C29—21no—
134C2×D4×C29—21no—
135C2×D4×C29—21no—
136C2×D4×C29—21no—
137C2×D4×C29—21no—
138C2×D4×C29—42no—
139C2×D4×C29—42no—
140C2×D4×C29—42no—
141C2×D4×C29—42no—
142C2×D4×C29—81no—
143C2×D4×C29—81no—
144C22×C4×C29—21no—
145C22×C4×C29—21no—
146C22×C4×C29—21no—
147C22×C4×C29—21no—
148C22×C4×C29—21no—
149C22×C4×C29—21no—
150C22×C4×C29C2×D411yescharacteristic
151C22×C4×C29C2×D411yescharacteristic
152C22×C4×C29C2×D411yescharacteristic
153C22×C4×C29C2×D411yescharacteristic
154C22×C4×C29C2×D411yescharacteristic
155C22×C4×C29C2×D411yescharacteristic
156C22×C4×C29C2411yescharacteristic
157C2×C8×C29—21no—
158C2×C8×C29—21no—
159C2×C8×C29—21no—
160C2×C8×C29—21no—
161C2×C8×C29—21no—
162C2×C8×C29—21no—
163C2×C8×C29—21no—
164C2×C8×C29—21no—
165C2×C8×C29—21no—
166C2×C8×C29—21no—
167C2×C8×C29—21no—
168C2×C8×C29—21no—
169C4⋊C4×C29—21no—
170C4⋊C4×C29—21no—
171C4⋊C4×C29—21no—
172C4⋊C4×C29—21no—
173C4⋊C4×C29—21no—
174C4⋊C4×C29—21no—
175C4⋊C4×C29—21no—
176C4⋊C4×C29—21no—
177C4⋊C4×C29—21no—
178C4⋊C4×C29—21no—
179C4⋊C4×C29—41no—
180C4⋊C4×C29—41no—
181C4⋊C4×C29—41no—
182C4⋊C4×C29—42no—
183C4⋊C4×C29—42no—
184C4⋊C4×C29—42no—
185C4⋊C4×C29—42no—
186C4⋊C4×C29—81no—
187C4⋊C4×C29—81no—
188C4⋊C4×C29#4112yes—
189C4⋊C4×C29#4112yes—
190C22⋊C4×C29—42no—
191C22⋊C4×C29—42no—
192C22⋊C4×C29—42no—
193C22⋊C4×C29—42no—
194C22⋊C4×C29—81no—
195C22⋊C4×C29—81no—
196C22⋊C4×C29—81no—
197C22⋊C4×C29—81no—
198C42×C29—21no—
199C42×C29—21no—
200C42×C29—21no—
201C42×C29—21no—
202C42×C29—21no—
203C42×C29—21no—
204C42×C29—42no—
205C42×C29—81no—
206#32635C2911yesmaximal, characteristic, direct product factor, Sylow
207C23×C29—41no—
208C23×C29—41no—
209C23×C29—41no—
210C23×C29—41no—
211C23×C29—41no—
212C23×C29—41no—
213C23×C29—41no—
214C23×C29—41no—
215C23×C29—41no—
216C23×C29—41no—
217C23×C29—41no—
218C23×C29—41no—
219C23×C29—41no—
220C23×C29—41no—
221C23×C29C22×D411yescharacteristic
222Q8×C29—44no—
223D4×C29—41no—
224D4×C29—41no—
225D4×C29—41no—
226D4×C29—41no—
227D4×C29—41no—
228D4×C29—41no—
229D4×C29—41no—
230D4×C29—41no—
231D4×C29—84no—
232D4×C29—84no—
233C2×C4×C29—21no—
234C2×C4×C29—21no—
235C2×C4×C29—21no—
236C2×C4×C29—21no—
237C2×C4×C29—21no—
238C2×C4×C29—21no—
239C2×C4×C29—21no—
240C2×C4×C29—21no—
241C2×C4×C29—22no—
242C2×C4×C29—22no—
243C2×C4×C29—21no—
244C2×C4×C29—21no—
245C2×C4×C29—21no—
246C2×C4×C29—21no—
247C2×C4×C29—21no—
248C2×C4×C29—21no—
249C2×C4×C29—21no—
250C2×C4×C29—21no—
251C2×C4×C29—41no—
252C2×C4×C29—41no—
253C2×C4×C29—41no—
254C2×C4×C29—41no—
255C2×C4×C29—41no—
256C2×C4×C29—41no—
257C2×C4×C29—41no—
258C2×C4×C29—41no—
259C2×C4×C29—41no—
260C2×C4×C29—41no—
261C2×C4×C29—41no—
262C2×C4×C29—41no—
263C2×C4×C29—41no—
264C2×C4×C29—41no—
265C2×C4×C29—41no—
266C2×C4×C29—41no—
267C2×C4×C29#13512yes—
268C2×C4×C29AGL(1,ℤ/8)12yes—
269C2×C4×C29C2×#4111yescharacteristic
270C2×C4×C29C2×#4111yescharacteristic
271C2×C4×C29H(5,𝔽2)11yescharacteristic
272C2×C4×C29H(5,𝔽2)11yescharacteristic
273C2×C4×C292−1+411yescharacteristic
274C2×C4×C292−1+411yescharacteristic
275C8×C29—41no—
276C8×C29—41no—
277C8×C29—41no—
278C8×C29—41no—
279#2584C2×C2911yescharacteristic, complemented
280#2548C2×C2911yescharacteristic
281#2067C2×C2911yescharacteristic, complemented
282#2065C2×C2911yescharacteristic, complemented
283#2041C2×C2911yescharacteristic
284#2041C2×C2911yescharacteristic
285#2025C2×C2911yescharacteristic, complemented
286#2025C2×C2911yescharacteristic, complemented
287#1984C2×C2911yescharacteristic, complemented
288#1934C2×C2911yescharacteristic, complemented
289#1934C2×C2911yescharacteristic, complemented
290#1926C2×C2911yescharacteristic, complemented
291#1925C2×C2911yescharacteristic, complemented
292#1921C2×C2911yescharacteristic, complemented
293#1919C2×C2911yescharacteristic, complemented
294C22×C29—81no—
295C22×C29—81no—
296C22×C29—81no—
297C22×C29—81no—
298C22×C29—81no—
299C22×C29—81no—
300C22×C29—81no—
301C22×C29—81no—
302C22×C29—81no—
303C22×C29—81no—
304C22×C29—81no—
305C22×C29—81no—
306C22×C29—81no—
307C22×C29—81no—
308C22×C29#53411yescharacteristic
309C22×C29#54811yescharacteristic
310C22×C29#54811yescharacteristic
311C22×C29C2×#13511yescharacteristic
312C22×C29C2×AGL(1,ℤ/8)11yescharacteristic
313C22×C29#57611yescharacteristic
314C22×C29#57711yescharacteristic
315C4×C29—22no—
316C4×C29—22no—
317C4×C29—42no—
318C4×C29—42no—
319C4×C29—41no—
320C4×C29—41no—
321C4×C29—41no—
322C4×C29—41no—
323C4×C29—81no—
324C4×C29—81no—
325C4×C29—81no—
326C4×C29—81no—
327C4×C29#54211yescharacteristic
328C4×C29#54211yescharacteristic
329C4×C29#55511yescharacteristic
330C4×C29#56311yescharacteristic
331C2×#127C22×C2911yescharacteristic
332C2×#125C22×C2911yescharacteristic
333C2×#124—21no—
334C2×C4×Q8C22×C2911yescharacteristic
335C2×#107C22×C2911yescharacteristic
336C2×#106C22×C2911yescharacteristic
337C2×C4⋊C8C22×C2911yescharacteristic
338C2×#102C22×C2911yescharacteristic
339C2×#102C22×C2911yescharacteristic
340C2×#102C22×C2911yescharacteristic
341C2×#102C22×C2911yescharacteristic
342C2×#102C22×C2911yescharacteristic
343C2×#102C22×C2911yescharacteristic
344C2×#102C22×C2911yescharacteristic
345C2×#102C22×C2911yescharacteristic
346C2×C4×C8C22×C2911yescharacteristic
347#398—21no—
348#395—21no—
349#394—21no—
350#394—21no—
351#390—21no—
352#390C22×C2911yescharacteristic
353#390C22×C2911yescharacteristic
354#390C22×C2911yescharacteristic
355#390C22×C2911yescharacteristic
356#389—21no—
357#389—21no—
358#389C22×C2911yescharacteristic
359#389C22×C2911yescharacteristic
360#389C22×C2911yescharacteristic
361#389C22×C2911yescharacteristic
362C4×C4⋊C4C22×C2911yescharacteristic
363C4×C4⋊C4C22×C2911yescharacteristic
364#340C22×C2911yescharacteristic
365#340C22×C2911yescharacteristic
366#340C22×C2911yescharacteristic
367#340C22×C2911yescharacteristic
368#340C22×C2911yescharacteristic
369#340C22×C2911yescharacteristic
370#336C22×C2911yescharacteristic
371#336C22×C2911yescharacteristic
372#336C22×C2911yescharacteristic
373#336C22×C2911yescharacteristic
374C2×C29—161no—
375C2×C29—161no—
376C2×C29#273111yescharacteristic
377C2×C29#318811yescharacteristic
378C2×C29#319811yescharacteristic
379C2×C29#336111yescharacteristic
380C2×C29#336511yescharacteristic
381C2×C29#336611yescharacteristic
382C2×C29#336811yescharacteristic
383C22×Q8D4×C2911yescharacteristic
384C22×D4—21no—
385C22×D4—21no—
386C22×D4C23×C2911yescharacteristic
387C22×D4C23×C2911yescharacteristic
388C22×C8C23×C2911yescharacteristic
389C22×C8C23×C2911yescharacteristic
390C22×C8C23×C2911yescharacteristic
391C22×C8C23×C2911yescharacteristic
392#127—41no—
393#127—41no—
394#125—41no—
395#125—41no—
396#124—44no—
397C4×Q8—41no—
398C4×Q8—41no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4D4×C2911yescharacteristic
406C2×C4⋊C4D4×C2911yescharacteristic
407C2×C4⋊C4D4×C2911yescharacteristic
408C2×C4⋊C4C23×C2911yescharacteristic
409C2×C4⋊C4C23×C2911yescharacteristic
410C2×C4⋊C4C23×C2911yescharacteristic
411C2×C4⋊C4C23×C2911yescharacteristic
412C2×C4⋊C4C23×C2911yescharacteristic
413C2×C4⋊C4C23×C2911yescharacteristic
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C42—21no—
423C2×C42—21no—
424C2×C42C23×C2911yescharacteristic
425C2×C42C23×C2911yescharacteristic
426C2×C42C23×C2911yescharacteristic
427#107—22no—
428#106—22no—
429C4⋊C8—41no—
430#102—22no—
431#102—22no—
432#102—22no—
433#102—22no—
434#102—41no—
435#102—41no—
436#102—41no—
437#102—41no—
438C4×C8—41no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445C29#3263511yescharacteristic, direct product factor, Sylow
446C24—21no—
447C24—21no—
448C2×Q8—22no—
449C2×Q8—22no—
450C2×Q8—41no—
451C2×D4—21no—
452C2×D4—21no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—42no—
464C2×D4—42no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—81no—
468C2×D4—81no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4C2×D4×C2911yescharacteristic
476C22×C4C2×D4×C2911yescharacteristic
477C22×C4C2×D4×C2911yescharacteristic
478C22×C4C2×D4×C2911yescharacteristic
479C22×C4C2×D4×C2911yescharacteristic
480C22×C4C2×D4×C2911yescharacteristic
481C22×C4C24×C2911yescharacteristic
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—41no—
505C4⋊C4—41no—
506C4⋊C4—41no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—81no—
512C4⋊C4—81no—
513C4⋊C4#41×C2912yes—
514C4⋊C4#41×C2912yes—
515C22⋊C4—42no—
516C22⋊C4—42no—
517C22⋊C4—42no—
518C22⋊C4—42no—
519C22⋊C4—81no—
520C22⋊C4—81no—
521C22⋊C4—81no—
522C22⋊C4—81no—
523C42—21no—
524C42—21no—
525C42—21no—
526C42—21no—
527C42—21no—
528C42—21no—
529C42—42no—
530C42—81no—
531C23—41no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23C22×D4×C2911yescharacteristic
546Q8—44no—
547D4—41no—
548D4—41no—
549D4—41no—
550D4—41no—
551D4—41no—
552D4—41no—
553D4—41no—
554D4—41no—
555D4—84no—
556D4—84no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4C29×#13512yes—
592C2×C4C29×AGL(1,ℤ/8)12yes—
593C2×C4C2×#41×C2911yescharacteristic
594C2×C4C2×#41×C2911yescharacteristic
595C2×C4C29×H(5,𝔽2)11yescharacteristic
596C2×C4C29×H(5,𝔽2)11yescharacteristic
597C2×C4C29×2−1+411yescharacteristic
598C2×C4C29×2−1+411yescharacteristic
599C8—41no—
600C8—41no—
601C8—41no—
602C8—41no—
603C22—81no—
604C22—81no—
605C22—81no—
606C22—81no—
607C22—81no—
608C22—81no—
609C22—81no—
610C22—81no—
611C22—81no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22C29×#53411yescharacteristic
618C22C29×#54811yescharacteristic
619C22C29×#54811yescharacteristic
620C22C2×C29×#13511yescharacteristic
621C22C2×C29×AGL(1,ℤ/8)11yescharacteristic
622C22C29×#57611yescharacteristic
623C22C29×#57711yescharacteristic
624C4—22no—
625C4—22no—
626C4—41no—
627C4—41no—
628C4—41no—
629C4—41no—
630C4—42no—
631C4—42no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4C29×#54211yescharacteristic
637C4C29×#54211yescharacteristic
638C4C29×#55511yescharacteristic
639C4C29×#56311yescharacteristic
640C2—161no—
641C2—161no—
642C2C29×#273111yescharacteristic
643C2C29×#318811yescharacteristic
644C2C29×#319811yescharacteristic
645C2C29×#336111yescharacteristic
646C2C29×#336511yescharacteristic
647C2C29×#336611yescharacteristic
648C2C29×#336811yescharacteristic
subgroupG/H
center, socleC23×C29C22×D4
commutator, Frattini, cosocleC22×C4C24×C29
prime radicalC2×C29×#127C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C29 ◁ C2×C4×Q8×C29 ◁ G

Complements

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

NH ≅ G/Ntype
1. C29×#2584C2semidirect
3. C29×#2067C2semidirect
4. C29×#2065C2semidirect
7. C29×#2025C2semidirect
8. C29×#2025C2semidirect
9. C29×#1984C2semidirect
10. C29×#1934C2semidirect
11. C29×#1934C2semidirect
12. C29×#1926C2semidirect
13. C29×#1925C2semidirect
14. C29×#1921C2semidirect
15. C29×#1919C2semidirect
206. #32635C29direct (N × H)
279. #2584C2×C29semidirect
281. #2067C2×C29semidirect
282. #2065C2×C29semidirect
285. #2025C2×C29semidirect
286. #2025C2×C29semidirect
287. #1984C2×C29semidirect
288. #1934C2×C29semidirect
289. #1934C2×C29semidirect
290. #1926C2×C29semidirect
291. #1925C2×C29semidirect
292. #1921C2×C29semidirect
293. #1919C2×C29semidirect
445. C29#32635direct (N × H)

Maximal subgroups

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

subgroupindex
C29×#25842
C29×#25482
C29×#20672
C29×#20652
C29×#20412
C29×#20252
C29×#19842
C29×#19342
C29×#19262
C29×#19252
C29×#19212
C29×#19192
#3263529