Finite Group Databasebeta

← C101×#18049 #38800200

Subgroups — C101×#18049 #38800200

Order 25856.

640 conjugacy classes of subgroups.

The subgroup lattice has 584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#2971C211yesmaximal, characteristic
2Q8×M16×C101C211yesmaximal, characteristic, complemented
3C4×#137×C101C211yesmaximal, characteristic
4C101×#1592C211yesmaximal, characteristic, complemented
5C101×#1590C211yesmaximal, characteristic, complemented
6C101×#1588C211yesmaximal, characteristic, complemented
7C101×#1587C211yesmaximal, characteristic, complemented
8C101×#1584C211yesmaximal, characteristic, complemented
9C101×#1583C211yesmaximal, characteristic, complemented
10C101×#1579C211yesmaximal, characteristic, complemented
11C8×Q16×C101C211yesmaximal, characteristic, complemented
12C101×#1569C211yesmaximal, characteristic, complemented
13C101×#1491C211yesmaximal, characteristic, complemented
14C101×#1489C211yesmaximal, characteristic
15C101×#1455C211yesmaximal, characteristic, complemented
16C2×#137×C101C411yescharacteristic
17C4×#41×C101C2211yescharacteristic
18C2×C4×Q8×C101C2211yescharacteristic
19#446×C101—21no—
20#446×C101—21no—
21#446×C101C2211yescharacteristic
22#446×C101C2211yescharacteristic
23C8×Q8×C101C2211yescharacteristic
24C8×Q8×C101C2211yescharacteristic
25C8×Q8×C101C2211yescharacteristic
26C8×Q8×C101C2211yescharacteristic
27#441×C101C411yescharacteristic
28#441×C101C411yescharacteristic
29#440×C101C411yescharacteristic
30#440×C101C411yescharacteristic
31C4×Q16×C101C2211yescharacteristic
32C4×Q16×C101C2211yescharacteristic
33C4×SD16×C101C2211yescharacteristic
34C4×SD16×C101C2211yescharacteristic
35#436×C101—21no—
36#436×C101—21no—
37#436×C101C2211yescharacteristic
38#436×C101C2211yescharacteristic
39#432×C101—21no—
40#432×C101C2211yescharacteristic
41#428×C101C411yescharacteristic
42#423×C101—21no—
43#423×C101C2211yescharacteristic
44#419×C101C411yescharacteristic
45#417×C101C411yescharacteristic
46C4×M16×C101—21no—
47C4×M16×C101—21no—
48C4×M16×C101C2211yescharacteristic
49C4×M16×C101C2211yescharacteristic
50C4×M16×C101C2211yescharacteristic
51#335×C101C2211yescharacteristic
52#335×C101C2211yescharacteristic
53#334×C101C2211yescharacteristic
54#334×C101C2211yescharacteristic
55Q8⋊C8×C101C2211yescharacteristic
56Q8⋊C8×C101C2211yescharacteristic
57Q8⋊C8×C101C2211yescharacteristic
58Q8⋊C8×C101C2211yescharacteristic
59Q8⋊C8×C101C2211yescharacteristic
60Q8⋊C8×C101C2211yescharacteristic
61D4⋊C8×C101C2211yescharacteristic
62D4⋊C8×C101C2211yescharacteristic
63#322×C101C2211yescharacteristic
64#322×C101C2211yescharacteristic
65#322×C101C2211yescharacteristic
66C82×C101C2211yescharacteristic
67C2×#41×C101C2×C411yescharacteristic
68C22×Q8×C101C2×C411yescharacteristic
69#137×C101—24no—
70C2×Q16×C101C2×C411yescharacteristic
71C2×Q16×C101C2×C411yescharacteristic
72C2×SD16×C101C2×C411yescharacteristic
73C2×SD16×C101C2×C411yescharacteristic
74C2×M16×C101—21no—
75C2×M16×C101—21no—
76C2×M16×C101—21no—
77C2×M16×C101—21no—
78C2×M16×C101C2×C411yescharacteristic
79C2×M16×C101C2×C411yescharacteristic
80C2×M16×C101D411yescharacteristic
81C2×M16×C101D411yescharacteristic
82C4×Q8×C101—21no—
83C4×Q8×C101—21no—
84C4×Q8×C101C2×C411yescharacteristic
85C4×Q8×C101C2×C411yescharacteristic
86C4×Q8×C101C2×C411yescharacteristic
87C4×Q8×C101C2311yescharacteristic
88C4×Q8×C101C2311yescharacteristic
89C4×Q8×C101C2311yescharacteristic
90C4×D4×C101—21no—
91C4×D4×C101—21no—
92C4×D4×C101C2×C411yescharacteristic
93C4×D4×C101C2311yescharacteristic
94#117×C101—21no—
95#117×C101C2×C411yescharacteristic
96C2×C4⋊C4×C101—21no—
97C2×C4⋊C4×C101C2×C411yescharacteristic
98C2×C42×C101—21no—
99C2×C42×C101—21no—
100C2×C42×C101C2311yescharacteristic
101#107×C101C2×C411yescharacteristic
102#107×C101C2×C411yescharacteristic
103#106×C101C2×C411yescharacteristic
104#106×C101C2×C411yescharacteristic
105C4⋊C8×C101—21no—
106C4⋊C8×C101—21no—
107C4⋊C8×C101—21no—
108C4⋊C8×C101—21no—
109C4⋊C8×C101—21no—
110C4⋊C8×C101—21no—
111C4⋊C8×C101—21no—
112C4⋊C8×C101C2311yescharacteristic
113C4⋊C8×C101C2311yescharacteristic
114C4⋊C8×C101C2311yescharacteristic
115C4⋊C8×C101C2311yescharacteristic
116#103×C101C2×C411yescharacteristic
117#103×C101C2×C411yescharacteristic
118#103×C101C2×C411yescharacteristic
119#103×C101C2×C411yescharacteristic
120#103×C101C2×C411yescharacteristic
121#103×C101C2×C411yescharacteristic
122#102×C101C2×C411yescharacteristic
123#102×C101C2×C411yescharacteristic
124C22⋊C8×C101—21no—
125C22⋊C8×C101—21no—
126C22⋊C8×C101—21no—
127#97×C101—21no—
128#97×C101—21no—
129#97×C101—21no—
130#97×C101—21no—
131#97×C101C2×C411yescharacteristic
132#97×C101C2×C411yescharacteristic
133#97×C101D411yescharacteristic
134#97×C101D411yescharacteristic
135C4×C8×C101—21no—
136C4×C8×C101—21no—
137C4×C8×C101—21no—
138C4×C8×C101—21no—
139C4×C8×C101C2311yescharacteristic
140C4×C8×C101C2311yescharacteristic
141C4×C8×C101C2311yescharacteristic
142C4×C8×C101C2311yescharacteristic
143C4×C8×C101C2311yescharacteristic
144C4×C8×C101C2311yescharacteristic
145#41×C101—22no—
146#41×C101—41no—
147C2×Q8×C101—21no—
148C2×Q8×C101—22no—
149C2×Q8×C101—41no—
150C2×Q8×C101C22×C411yescharacteristic
151C2×Q8×C101C22×C411yescharacteristic
152C2×Q8×C101C22×C411yescharacteristic
153C2×D4×C101—21no—
154C2×D4×C101C22×C411yescharacteristic
155C22×C4×C101—21no—
156C22×C4×C101—21no—
157C22×C4×C101—21no—
158C22×C4×C101—21no—
159C22×C4×C101—21no—
160C22×C4×C101C22×C411yescharacteristic
161C22×C4×C101C2×D411yescharacteristic
162C22×C4×C101#4111yescharacteristic
163Q16×C101—22no—
164Q16×C101M1614yescomplemented
165SD16×C101—22no—
166SD16×C101—22no—
167M16×C101—22no—
168M16×C101—22no—
169M16×C101—41no—
170M16×C101—41no—
171M16×C101—42no—
172M16×C101—42no—
173M16×C101—42no—
174M16×C101—42no—
175C2×C8×C101—21no—
176C2×C8×C101—21no—
177C2×C8×C101—21no—
178C2×C8×C101—21no—
179C2×C8×C101—21no—
180C2×C8×C101—21no—
181C2×C8×C101C22×C411yescharacteristic
182C2×C8×C101C22×C411yescharacteristic
183C2×C8×C101C22×C411yescharacteristic
184C2×C8×C101C22×C411yescharacteristic
185C2×C8×C101C2×D411yescharacteristic
186C2×C8×C101C2×D411yescharacteristic
187C2×C8×C101C2×D411yescharacteristic
188C2×C8×C101C2×D411yescharacteristic
189C4⋊C4×C101—21no—
190C4⋊C4×C101—21no—
191C4⋊C4×C101—21no—
192C4⋊C4×C101—21no—
193C4⋊C4×C101—21no—
194C4⋊C4×C101—21no—
195C4⋊C4×C101—21no—
196C4⋊C4×C101C22×C411yescharacteristic
197C4⋊C4×C101C22×C411yescharacteristic
198C4⋊C4×C101C22×C411yescharacteristic
199C4⋊C4×C101C22×C411yescharacteristic
200C22⋊C4×C101—21no—
201C22⋊C4×C101—21no—
202C22⋊C4×C101—21no—
203C42×C101—21no—
204C42×C101—21no—
205C42×C101—21no—
206C42×C101—21no—
207C42×C101—21no—
208C42×C101—21no—
209C42×C101—21no—
210C42×C101C22×C411yescharacteristic
211C42×C101C2×D411yescharacteristic
212C42×C101#4111yescharacteristic
213C42×C101C2411yescharacteristic
214C23×C101—21no—
215C23×C101C4×D411yescharacteristic
216Q8×C101—21no—
217Q8×C101—21no—
218Q8×C101—21no—
219Q8×C101—21no—
220Q8×C101—42no—
221Q8×C101C2×M1612yes—
222Q8×C101C2×M1612yes—
223D4×C101—21no—
224D4×C101—21no—
225D4×C101—42no—
226C2×C4×C101—21no—
227C2×C4×C101—21no—
228C2×C4×C101—21no—
229C2×C4×C101—21no—
230C2×C4×C101—21no—
231C2×C4×C101—21no—
232C2×C4×C101—21no—
233C2×C4×C101—21no—
234C2×C4×C101—21no—
235C2×C4×C101—21no—
236C2×C4×C101—21no—
237C2×C4×C101—41no—
238C2×C4×C101—42no—
239C2×C4×C101—42no—
240C2×C4×C101—41no—
241C2×C4×C101—41no—
242C2×C4×C101—81no—
243C2×C4×C101—81no—
244C2×C4×C101C4×D411yescharacteristic
245C2×C4×C101C4×D411yescharacteristic
246C2×C4×C101C4×D411yescharacteristic
247C2×C4×C101C23×C411yescharacteristic
248C2×C4×C101C22×D411yescharacteristic
249C2×C4×C101C2×#4111yescharacteristic
250C8×C101—22no—
251C8×C101—21no—
252C8×C101—21no—
253C8×C101—21no—
254C8×C101—21no—
255C8×C101—21no—
256C8×C101—21no—
257C8×C101—41no—
258C8×C101—41no—
259C8×C101—41no—
260C8×C101—41no—
261C8×C101—41no—
262C8×C101C2×M1612yes—
263C8×C101#13712yescomplemented
264C22×C101—21no—
265C22×C101—21no—
266C22×C101—21no—
267C22×C101—41no—
268C22×C101—41no—
269C22×C101—41no—
270C22×C101C2×C4×D411yescharacteristic
271C4×C101—21no—
272C4×C101—22no—
273C4×C101—22no—
274C4×C101—21no—
275C4×C101—21no—
276C4×C101—21no—
277C4×C101—41no—
278C4×C101—41no—
279C4×C101—41no—
280C4×C101—41no—
281C4×C101—41no—
282C4×C101C22×M1611yescharacteristic
283C4×C101#56811yescharacteristic
284C4×C101C2×#13711yescharacteristic
285C4×C101#57511yescharacteristic
286#18049C10111yesmaximal, characteristic, direct product factor, Sylow
287C2×C101—41no—
288C2×C101—81no—
289C2×C101D4×M1611yescharacteristic
290C2×C101C4×#13711yescharacteristic
291C2×C101#295611yescharacteristic
292#2971C2×C10111yescharacteristic
293Q8×M16C2×C10111yescharacteristic, complemented
294C4×#137C2×C10111yescharacteristic
295#1592C2×C10111yescharacteristic, complemented
296#1590C2×C10111yescharacteristic, complemented
297#1588C2×C10111yescharacteristic, complemented
298#1587C2×C10111yescharacteristic, complemented
299#1584C2×C10111yescharacteristic, complemented
300#1583C2×C10111yescharacteristic, complemented
301#1579C2×C10111yescharacteristic, complemented
302C8×Q16C2×C10111yescharacteristic, complemented
303#1569C2×C10111yescharacteristic, complemented
304#1491C2×C10111yescharacteristic, complemented
305#1489C2×C10111yescharacteristic
306#1455C2×C10111yescharacteristic, complemented
307C101#1804911yescharacteristic, direct product factor, Sylow
308C2×#137C4×C10111yescharacteristic
309C4×#41C22×C10111yescharacteristic
310C2×C4×Q8C22×C10111yescharacteristic
311#446—21no—
312#446—21no—
313#446C22×C10111yescharacteristic
314#446C22×C10111yescharacteristic
315C8×Q8C22×C10111yescharacteristic
316C8×Q8C22×C10111yescharacteristic
317C8×Q8C22×C10111yescharacteristic
318C8×Q8C22×C10111yescharacteristic
319#441C4×C10111yescharacteristic
320#441C4×C10111yescharacteristic
321#440C4×C10111yescharacteristic
322#440C4×C10111yescharacteristic
323C4×Q16C22×C10111yescharacteristic
324C4×Q16C22×C10111yescharacteristic
325C4×SD16C22×C10111yescharacteristic
326C4×SD16C22×C10111yescharacteristic
327#436—21no—
328#436—21no—
329#436C22×C10111yescharacteristic
330#436C22×C10111yescharacteristic
331#432—21no—
332#432C22×C10111yescharacteristic
333#428C4×C10111yescharacteristic
334#423—21no—
335#423C22×C10111yescharacteristic
336#419C4×C10111yescharacteristic
337#417C4×C10111yescharacteristic
338C4×M16—21no—
339C4×M16—21no—
340C4×M16C22×C10111yescharacteristic
341C4×M16C22×C10111yescharacteristic
342C4×M16C22×C10111yescharacteristic
343#335C22×C10111yescharacteristic
344#335C22×C10111yescharacteristic
345#334C22×C10111yescharacteristic
346#334C22×C10111yescharacteristic
347Q8⋊C8C22×C10111yescharacteristic
348Q8⋊C8C22×C10111yescharacteristic
349Q8⋊C8C22×C10111yescharacteristic
350Q8⋊C8C22×C10111yescharacteristic
351Q8⋊C8C22×C10111yescharacteristic
352Q8⋊C8C22×C10111yescharacteristic
353D4⋊C8C22×C10111yescharacteristic
354D4⋊C8C22×C10111yescharacteristic
355#322C22×C10111yescharacteristic
356#322C22×C10111yescharacteristic
357#322C22×C10111yescharacteristic
358C82C22×C10111yescharacteristic
359C2×#41C2×C4×C10111yescharacteristic
360C22×Q8C2×C4×C10111yescharacteristic
361#137—24no—
362C2×Q16C2×C4×C10111yescharacteristic
363C2×Q16C2×C4×C10111yescharacteristic
364C2×SD16C2×C4×C10111yescharacteristic
365C2×SD16C2×C4×C10111yescharacteristic
366C2×M16—21no—
367C2×M16—21no—
368C2×M16—21no—
369C2×M16—21no—
370C2×M16C2×C4×C10111yescharacteristic
371C2×M16C2×C4×C10111yescharacteristic
372C2×M16D4×C10111yescharacteristic
373C2×M16D4×C10111yescharacteristic
374C4×Q8—21no—
375C4×Q8—21no—
376C4×Q8C2×C4×C10111yescharacteristic
377C4×Q8C2×C4×C10111yescharacteristic
378C4×Q8C2×C4×C10111yescharacteristic
379C4×Q8C23×C10111yescharacteristic
380C4×Q8C23×C10111yescharacteristic
381C4×Q8C23×C10111yescharacteristic
382C4×D4—21no—
383C4×D4—21no—
384C4×D4C2×C4×C10111yescharacteristic
385C4×D4C23×C10111yescharacteristic
386#117—21no—
387#117C2×C4×C10111yescharacteristic
388C2×C4⋊C4—21no—
389C2×C4⋊C4C2×C4×C10111yescharacteristic
390C2×C42—21no—
391C2×C42—21no—
392C2×C42C23×C10111yescharacteristic
393#107C2×C4×C10111yescharacteristic
394#107C2×C4×C10111yescharacteristic
395#106C2×C4×C10111yescharacteristic
396#106C2×C4×C10111yescharacteristic
397C4⋊C8—21no—
398C4⋊C8—21no—
399C4⋊C8—21no—
400C4⋊C8—21no—
401C4⋊C8—21no—
402C4⋊C8—21no—
403C4⋊C8—21no—
404C4⋊C8C23×C10111yescharacteristic
405C4⋊C8C23×C10111yescharacteristic
406C4⋊C8C23×C10111yescharacteristic
407C4⋊C8C23×C10111yescharacteristic
408#103C2×C4×C10111yescharacteristic
409#103C2×C4×C10111yescharacteristic
410#103C2×C4×C10111yescharacteristic
411#103C2×C4×C10111yescharacteristic
412#103C2×C4×C10111yescharacteristic
413#103C2×C4×C10111yescharacteristic
414#102C2×C4×C10111yescharacteristic
415#102C2×C4×C10111yescharacteristic
416C22⋊C8—21no—
417C22⋊C8—21no—
418C22⋊C8—21no—
419#97—21no—
420#97—21no—
421#97—21no—
422#97—21no—
423#97C2×C4×C10111yescharacteristic
424#97C2×C4×C10111yescharacteristic
425#97D4×C10111yescharacteristic
426#97D4×C10111yescharacteristic
427C4×C8—21no—
428C4×C8—21no—
429C4×C8—21no—
430C4×C8—21no—
431C4×C8C23×C10111yescharacteristic
432C4×C8C23×C10111yescharacteristic
433C4×C8C23×C10111yescharacteristic
434C4×C8C23×C10111yescharacteristic
435C4×C8C23×C10111yescharacteristic
436C4×C8C23×C10111yescharacteristic
437#41—22no—
438#41—41no—
439C2×Q8—21no—
440C2×Q8—22no—
441C2×Q8—41no—
442C2×Q8C22×C4×C10111yescharacteristic
443C2×Q8C22×C4×C10111yescharacteristic
444C2×Q8C22×C4×C10111yescharacteristic
445C2×D4—21no—
446C2×D4C22×C4×C10111yescharacteristic
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4C22×C4×C10111yescharacteristic
453C22×C4C2×D4×C10111yescharacteristic
454C22×C4#41×C10111yescharacteristic
455Q16—22no—
456Q16M16×C10114yescomplemented
457SD16—22no—
458SD16—22no—
459M16—22no—
460M16—22no—
461M16—41no—
462M16—41no—
463M16—42no—
464M16—42no—
465M16—42no—
466M16—42no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8C22×C4×C10111yescharacteristic
474C2×C8C22×C4×C10111yescharacteristic
475C2×C8C22×C4×C10111yescharacteristic
476C2×C8C22×C4×C10111yescharacteristic
477C2×C8C2×D4×C10111yescharacteristic
478C2×C8C2×D4×C10111yescharacteristic
479C2×C8C2×D4×C10111yescharacteristic
480C2×C8C2×D4×C10111yescharacteristic
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4C22×C4×C10111yescharacteristic
489C4⋊C4C22×C4×C10111yescharacteristic
490C4⋊C4C22×C4×C10111yescharacteristic
491C4⋊C4C22×C4×C10111yescharacteristic
492C22⋊C4—21no—
493C22⋊C4—21no—
494C22⋊C4—21no—
495C42—21no—
496C42—21no—
497C42—21no—
498C42—21no—
499C42—21no—
500C42—21no—
501C42—21no—
502C42C22×C4×C10111yescharacteristic
503C42C2×D4×C10111yescharacteristic
504C42#41×C10111yescharacteristic
505C42C24×C10111yescharacteristic
506C23—21no—
507C23C4×D4×C10111yescharacteristic
508Q8—21no—
509Q8—21no—
510Q8—21no—
511Q8—21no—
512Q8—42no—
513Q8C2×M16×C10112yes—
514Q8C2×M16×C10112yes—
515D4—21no—
516D4—21no—
517D4—42no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—21no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—41no—
530C2×C4—42no—
531C2×C4—42no—
532C2×C4—41no—
533C2×C4—41no—
534C2×C4—81no—
535C2×C4—81no—
536C2×C4C4×D4×C10111yescharacteristic
537C2×C4C4×D4×C10111yescharacteristic
538C2×C4C4×D4×C10111yescharacteristic
539C2×C4C23×C4×C10111yescharacteristic
540C2×C4C22×D4×C10111yescharacteristic
541C2×C4C2×#41×C10111yescharacteristic
542C8—22no—
543C8—21no—
544C8—21no—
545C8—21no—
546C8—21no—
547C8—21no—
548C8—21no—
549C8—41no—
550C8—41no—
551C8—41no—
552C8—41no—
553C8—41no—
554C8C2×M16×C10112yes—
555C8#137×C10112yescomplemented
556C22—21no—
557C22—21no—
558C22—21no—
559C22—41no—
560C22—41no—
561C22—41no—
562C22C2×C4×D4×C10111yescharacteristic
563C4—21no—
564C4—22no—
565C4—22no—
566C4—21no—
567C4—21no—
568C4—21no—
569C4—41no—
570C4—41no—
571C4—41no—
572C4—41no—
573C4—41no—
574C4C22×M16×C10111yescharacteristic
575C4#568×C10111yescharacteristic
576C4C2×#137×C10111yescharacteristic
577C4#575×C10111yescharacteristic
578C2—41no—
579C2—81no—
580C2D4×M16×C10111yescharacteristic
581C2C4×#137×C10111yescharacteristic
582C2C101×#295611yescharacteristic
subgroupG/H
centerC2×C4×C101C22×D4
commutatorC2×C4C23×C4×C101
Frattini, cosocleC42C24×C101
socleC22×C101C2×C4×D4
prime radicalC2×#41×C101C2×C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C101 ◁ C4×M16×C101 ◁ G

Complements

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

NH ≅ G/Ntype
2. Q8×M16×C101C2semidirect
4. C101×#1592C2semidirect
5. C101×#1590C2semidirect
6. C101×#1588C2semidirect
7. C101×#1587C2semidirect
8. C101×#1584C2semidirect
9. C101×#1583C2semidirect
10. C101×#1579C2semidirect
11. C8×Q16×C101C2semidirect
12. C101×#1569C2semidirect
13. C101×#1491C2semidirect
15. C101×#1455C2semidirect
164. Q16×C101M16semidirect
263. C8×C101#137semidirect
286. #18049C101direct (N × H)
293. Q8×M16C2×C101semidirect
295. #1592C2×C101semidirect
296. #1590C2×C101semidirect
297. #1588C2×C101semidirect
298. #1587C2×C101semidirect
299. #1584C2×C101semidirect
300. #1583C2×C101semidirect
301. #1579C2×C101semidirect
302. C8×Q16C2×C101semidirect
303. #1569C2×C101semidirect
304. #1491C2×C101semidirect
306. #1455C2×C101semidirect
307. C101#18049direct (N × H)
456. Q16M16×C101semidirect
555. C8#137×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#29712
Q8×M16×C1012
C4×#137×C1012
C101×#15922
C101×#15902
C101×#15882
C101×#15872
C101×#15842
C101×#15832
C101×#15792
C8×Q16×C1012
C101×#15692
C101×#14912
C101×#14892
C101×#14552
#18049101