Finite Group Databasebeta

← #14769152

Subgroups — #14769152

Order 2816.

1404 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#4318C212yesmaximal, complemented
2C2×#10622850C211yesmaximal, characteristic, complemented
3C22×#66900C211yesmaximal, characteristic, complemented
4#13069466C212yesmaximal, complemented
5#13069085C212yesmaximal, complemented
6#13069080C212yesmaximal, complemented
7#13068612C211yesmaximal, characteristic, complemented
8#13068544C211yesmaximal, characteristic, complemented
9#13068540C211yesmaximal, characteristic, complemented
10C4×#66900C211yesmaximal, characteristic, complemented
11C2×C11×#548C211yesmaximal, characteristic
12C22×C11×#41C2211yescharacteristic
13C23×Q8×C11C2211yescharacteristic
14C11×#548—22no—
15C11×#548—22no—
16C11×#548—22no—
17C11×#548—22no—
18C2×C11×#124C412yes—
19C2×C11×#124C2211yescharacteristic
20C2×C11×C22⋊Q8C412yes—
21C2×C11×C22⋊Q8C2211yescharacteristic
22C2×C11×#121C412yes—
23C2×C11×#121C2211yescharacteristic
24C2×C4×Q8×C11C2211yescharacteristic
25C2×C4×D4×C11C412yes—
26C2×C4×D4×C11C2211yescharacteristic
27C22×#4318C2212yes—
28C22×#4318C2212yes—
29#10622850—24no—
30C2×#66900—24no—
31C2×#66900C2211yescharacteristic
32C2×#66900C2211yescharacteristic
33C2×#66900C2212yes—
34C2×#66900C2211yescharacteristic
35C2×#66900C2212yes—
36C2×#66900C2211yescharacteristic
37C2×#66897C2212yes—
38C2×#66897C2212yes—
39#10622820C2212yes—
40#10622820C2212yes—
41#10622625—22no—
42#10622624—22no—
43#10622624—22no—
44D4×C11⋊C8—22no—
45#10622537C2212yes—
46C4×#4318C2212yes—
47#10622168C2212yes—
48#10622168C2212yes—
49C2×C11×#41—22no—
50C2×C11×#41—22no—
51C2×C11×#41—22no—
52C2×C11×#41—22no—
53C2×C11×#41—42no—
54C22×Q8×C11—22no—
55C22×Q8×C11—22no—
56C22×Q8×C11—22no—
57C22×Q8×C11—22no—
58C22×Q8×C11—42no—
59C22×Q8×C11C2×C412yes—
60C22×Q8×C11C2311yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C22×D4×C11C2×C412yes—
63C22×D4×C11C2×C412yes—
64C22×D4×C11C2×C411yescharacteristic
65C22×D4×C11C2311yescharacteristic
66C23×C4×C11C2×C412yes—
67C23×C4×C11C2×C412yes—
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C11×#124—24no—
71C11×#124—24no—
72C11×#124—22no—
73C11×#124—22no—
74C11×C22⋊Q8—22no—
75C11×C22⋊Q8—22no—
76C11×C22⋊Q8—24no—
77C11×C22⋊Q8—24no—
78C11×#121—24no—
79C11×#121—24no—
80C11×#121—22no—
81C11×#121—22no—
82C4×Q8×C11—22no—
83C4×Q8×C11—22no—
84C4×D4×C11—22no—
85C4×D4×C11—22no—
86C4×D4×C11—22no—
87C4×D4×C11—22no—
88C4×D4×C11D412yes—
89C4×D4×C11D412yes—
90C4×D4×C11D412yes—
91C4×D4×C11D412yes—
92C2×C11×C4⋊C4C2×C412yes—
93C2×C11×C4⋊C4C2×C412yes—
94C2×C11×C4⋊C4C2×C411yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C22⋊C4C2×C412yes—
97C2×C11×C22⋊C4C2×C412yes—
98C2×C11×C22⋊C4C2×C412yes—
99C2×C11×C22⋊C4C2×C412yes—
100C2×C11×C22⋊C4C2×C411yescharacteristic
101C2×C11×C22⋊C4C2×C411yescharacteristic
102C2×C42×C11C2×C412yes—
103C2×C42×C11C2311yescharacteristic
104C2×#4318—22no—
105C2×#4318—22no—
106C2×#4318—24no—
107C2×#4318—24no—
108C2×#4318—42no—
109C2×#4318—42no—
110C2×#4318C2312yes—
111C2×#4318C2312yes—
112C2×#4318C2312yes—
113C2×#4318C2312yes—
114C22×C11⋊C8—22no—
115C22×C11⋊C8—22no—
116#66900—22no—
117#66900—22no—
118#66900—22no—
119#66900—24no—
120#66900—42no—
121#66900D414yescomplemented
122#66897—24no—
123#66897—42no—
124C22⋊(C11⋊C8)—22no—
125C22⋊(C11⋊C8)—22no—
126C22⋊(C11⋊C8)—22no—
127C22⋊(C11⋊C8)—22no—
128C4⋊(C11⋊C8)—22no—
129C4⋊(C11⋊C8)—22no—
130#66867—22no—
131C4×C11⋊C8—22no—
132#22410—111nomaximal, Sylow
133C24×C11C22×C411yescharacteristic
134C24×C11C22×C412yes—
135C24×C11C22×C411yescharacteristic
136C11×#41—44no—
137C11×#41—44no—
138C11×#41—44no—
139C11×#41—44no—
140C2×Q8×C11—24no—
141C2×Q8×C11—24no—
142C2×Q8×C11—22no—
143C2×Q8×C11—21no—
144C2×Q8×C11—22no—
145C2×Q8×C11—21no—
146C2×Q8×C11—22no—
147C2×Q8×C11—22no—
148C2×Q8×C11—42no—
149C2×Q8×C11—44no—
150C2×Q8×C11—44no—
151C2×Q8×C11—44no—
152C2×Q8×C11—44no—
153C2×Q8×C11C2×D412yes—
154C2×Q8×C11#4112yes—
155C2×D4×C11—22no—
156C2×D4×C11—22no—
157C2×D4×C11—24no—
158C2×D4×C11—24no—
159C2×D4×C11—21no—
160C2×D4×C11—22no—
161C2×D4×C11—21no—
162C2×D4×C11—22no—
163C2×D4×C11—42no—
164C2×D4×C11—42no—
165C2×D4×C11—44no—
166C2×D4×C11C22⋊C412yes—
167C2×D4×C11C22⋊C412yes—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—22no—
173C22×C4×C11—22no—
174C22×C4×C11—22no—
175C22×C4×C11—22no—
176C22×C4×C11—22no—
177C22×C4×C11—22no—
178C22×C4×C11—24no—
179C22×C4×C11—24no—
180C22×C4×C11—42no—
181C22×C4×C11—42no—
182C22×C4×C11C22×C412yes—
183C22×C4×C11C22×C411yescharacteristic
184C22×C4×C11C22×C411yescharacteristic
185C22×C4×C11C22×C412yes—
186C22×C4×C11C22×C412yes—
187C22×C4×C11C22×C411yescharacteristic
188C22×C4×C11C22×C411yescharacteristic
189C22×C4×C11C2×D412yes—
190C22×C4×C11C2×D412yes—
191C22×C4×C11C2×D412yes—
192C22×C4×C11C2×D412yes—
193C22×C4×C11C2411yescharacteristic
194C11×C4⋊C4—22no—
195C11×C4⋊C4—22no—
196C11×C4⋊C4—24no—
197C11×C4⋊C4—22no—
198C11×C4⋊C4C22⋊C412yes—
199C11×C4⋊C4C22⋊C412yes—
200C11×C22⋊C4—24no—
201C11×C22⋊C4—22no—
202C11×C22⋊C4—22no—
203C11×C22⋊C4—24no—
204C11×C22⋊C4—24no—
205C11×C22⋊C4C22⋊C411yescharacteristic
206C11×C22⋊C4C22⋊C411yescharacteristic
207C11×C22⋊C4C22⋊C411yescharacteristic
208C11×C22⋊C4C22⋊C411yescharacteristic
209C11×C22⋊C4C22⋊C412yes—
210C11×C22⋊C4C22⋊C412yes—
211C42×C11—22no—
212C42×C11—22no—
213C42×C11C2×D412yes—
214C42×C11C2×D412yes—
215#4318—22no—
216#4318—22no—
217#4318—22no—
218#4318—22no—
219#4318—22no—
220#4318—22no—
221#4318—22no—
222#4318—44no—
223#4318—44no—
224#4318C2×D414yes—
225C2×C11⋊C8—22no—
226C2×C11⋊C8—22no—
227C2×C11⋊C8—22no—
228C2×C11⋊C8—22no—
229C2×C11⋊C8—44no—
230C2×C11⋊C8—44no—
231C2×#548D1111yescharacteristic
232D4×M16—112no—
233C2×#413—111no—
234C22×#101—111no—
235#1967—112no—
236#1901—112no—
237#1900—112no—
238#1801—111no—
239#1785—111no—
240#1784—111no—
241C4×#101—111no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—22no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—42no—
254C23×C11—42no—
255C23×C11C2×C22⋊C412yes—
256C23×C11C2×C22⋊C411yescharacteristic
257C23×C11C2×C22⋊C411yescharacteristic
258C23×C11C23×C411yescharacteristic
259Q8×C11—24no—
260Q8×C11—24no—
261Q8×C11—48no—
262Q8×C11—42no—
263Q8×C11—42no—
264D4×C11—24no—
265D4×C11—42no—
266D4×C11—48no—
267D4×C11—44no—
268D4×C11—44no—
269D4×C11—42no—
270D4×C11—42no—
271C2×C4×C11—22no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—44no—
292C2×C4×C11—44no—
293C2×C4×C11—44no—
294C2×C4×C11—44no—
295C2×C4×C11—42no—
296C2×C4×C11C2×C22⋊C411yescharacteristic
297C2×C4×C11C2×C22⋊C411yescharacteristic
298C2×C4×C11C2×C22⋊C412yes—
299C2×C4×C11C2×C22⋊C412yes—
300C2×C4×C11C2×C22⋊C411yescharacteristic
301C2×C4×C11C2×C22⋊C411yescharacteristic
302C2×C4×C11C4×D414yes—
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C22×D412yes—
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11H(5,𝔽2)12yes—
307C11⋊C8—24no—
308C11⋊C8—42no—
309C11⋊C8—42no—
310C11⋊C8—42no—
311C22×#41C2×D1111yescharacteristic
312C23×Q8C2×D1111yescharacteristic
313C22×M16—112no—
314C22×M16—112no—
315#548—22no—
316#548—22no—
317#548—22no—
318#548—22no—
319C2×#124Dic1112yes—
320C2×#124C2×D1111yescharacteristic
321C2×C22⋊Q8Dic1112yes—
322C2×C22⋊Q8C2×D1111yescharacteristic
323C2×#121Dic1112yes—
324C2×#121C2×D1111yescharacteristic
325C2×C4×Q8C2×D1111yescharacteristic
326C2×C4×D4Dic1112yes—
327C2×C4×D4C2×D1111yescharacteristic
328#436—222no—
329#435—222no—
330#435—222no—
331C8×D4—222no—
332#423—112no—
333#413—224no—
334C2×#101—111no—
335C2×#101—111no—
336C2×#101—111no—
337C2×#101—112no—
338C2×#101—111no—
339C2×#101—112no—
340C2×#101—224no—
341C2×#100—112no—
342C2×#100—112no—
343#407—112no—
344#407—112no—
345C4×M16—112no—
346#343—112no—
347#343—112no—
348C22×C11—21no—
349C22×C11—21no—
350C22×C11—21no—
351C22×C11—21no—
352C22×C11—21no—
353C22×C11—22no—
354C22×C11—22no—
355C22×C11—21no—
356C22×C11—21no—
357C22×C11—22no—
358C22×C11—42no—
359C22×C11—42no—
360C22×C11—42no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11—81no—
364C22×C11—81no—
365C22×C11—82no—
366C22×C11—82no—
367C22×C11#41312yescomplemented
368C22×C11C22×C22⋊C411yescharacteristic
369C22×C11C2×C4×D411yescharacteristic
370C22×C11#51811yescharacteristic
371C4×C11—21no—
372C4×C11—21no—
373C4×C11—22no—
374C4×C11—24no—
375C4×C11—22no—
376C4×C11—21no—
377C4×C11—21no—
378C4×C11—42no—
379C4×C11—42no—
380C4×C11D4212yes—
381C4×C11#54612yes—
382C2×#41—22no—
383C2×#41—22no—
384C2×#41—22no—
385C2×#41—22no—
386C2×#41—42no—
387C22×Q8—22no—
388C22×Q8—22no—
389C22×Q8—22no—
390C22×Q8—22no—
391C22×Q8—42no—
392C22×Q8C2×Dic1112yes—
393C22×Q8C22×D1111yescharacteristic
394C22×Q8C22×D1111yescharacteristic
395C22×D4C2×Dic1112yes—
396C22×D4C2×Dic1112yes—
397C22×D4C2×Dic1111yescharacteristic
398C22×D4C22×D1111yescharacteristic
399C23×C4C2×Dic1112yes—
400C23×C4C2×Dic1112yes—
401C23×C4C22×D1111yescharacteristic
402C23×C4C22×D1111yescharacteristic
403C2×M16—112no—
404C2×M16—112no—
405C2×M16—112no—
406C2×M16—112no—
407C2×M16—222no—
408C2×M16—222no—
409C2×M16—224no—
410C2×M16—224no—
411C2×M16—442no—
412C2×M16—442no—
413C22×C8—222no—
414C22×C8—222no—
415#124—24no—
416#124—24no—
417#124—22no—
418#124—22no—
419C22⋊Q8—22no—
420C22⋊Q8—22no—
421C22⋊Q8—24no—
422C22⋊Q8—24no—
423#121—24no—
424#121—24no—
425#121—22no—
426#121—22no—
427C4×Q8—22no—
428C4×Q8—22no—
429C4×D4—22no—
430C4×D4—22no—
431C4×D4—22no—
432C4×D4—22no—
433C4×D4C22⋊D1112yes—
434C4×D4C22⋊D1112yes—
435C4×D4C22⋊D1112yes—
436C4×D4C22⋊D1112yes—
437C2×C4⋊C4C2×Dic1112yes—
438C2×C4⋊C4C2×Dic1112yes—
439C2×C4⋊C4C2×Dic1111yescharacteristic
440C2×C4⋊C4C22×D1111yescharacteristic
441C2×C22⋊C4C2×Dic1112yes—
442C2×C22⋊C4C2×Dic1112yes—
443C2×C22⋊C4C2×Dic1112yes—
444C2×C22⋊C4C2×Dic1112yes—
445C2×C22⋊C4C2×Dic1111yescharacteristic
446C2×C22⋊C4C2×Dic1111yescharacteristic
447C2×C42C2×Dic1112yes—
448C2×C42C22×D1111yescharacteristic
449C4⋊C8—222no—
450C4⋊C8—222no—
451#101—114no—
452#101—224no—
453#101—222no—
454#101—222no—
455#101—222no—
456#101—442no—
457#100—224no—
458#100—442no—
459C22⋊C8—222no—
460C22⋊C8—222no—
461C22⋊C8—222no—
462C22⋊C8—222no—
463#97—222no—
464C4×C8—222no—
465C2×C11—21no—
466C2×C11—21no—
467C2×C11—22no—
468C2×C11—41no—
469C2×C11—42no—
470C2×C11—82no—
471C2×C11D4×C22⋊C411yescharacteristic
472C2×C11C2×#41311yescharacteristic
473C2×C11#288911yescharacteristic
474C24C22×Dic1111yescharacteristic
475C24C22×Dic1112yes—
476C24C22×Dic1111yescharacteristic
477#41—44no—
478#41—44no—
479#41—44no—
480#41—44no—
481C2×Q8—24no—
482C2×Q8—24no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—22no—
488C2×Q8—22no—
489C2×Q8—42no—
490C2×Q8—44no—
491C2×Q8—44no—
492C2×Q8—44no—
493C2×Q8—44no—
494C2×Q8D4×D1112yes—
495C2×Q8#434112yes—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—44no—
507C2×D4C22⋊Dic1112yes—
508C2×D4C22⋊Dic1112yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4C22×Dic1112yes—
524C22×C4C22×Dic1112yes—
525C22×C4C22×Dic1111yescharacteristic
526C22×C4C22×Dic1111yescharacteristic
527C22×C4C22×Dic1112yes—
528C22×C4C22×Dic1111yescharacteristic
529C22×C4C22×Dic1111yescharacteristic
530C22×C4C2×C22⋊D1112yes—
531C22×C4C2×C22⋊D1112yes—
532C22×C4C2×C22⋊D1112yes—
533C22×C4C2×C22⋊D1112yes—
534C22×C4C23×D1111yescharacteristic
535M16—114no—
536M16—222no—
537M16—222no—
538M16—222no—
539M16—222no—
540M16—222no—
541M16—222no—
542M16—222no—
543M16—444no—
544M16—444no—
545C2×C8—222no—
546C2×C8—222no—
547C2×C8—222no—
548C2×C8—222no—
549C2×C8—444no—
550C2×C8—444no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—22no—
555C4⋊C4C22⋊Dic1112yes—
556C4⋊C4C22⋊Dic1112yes—
557C22⋊C4—24no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4C22⋊Dic1111yescharacteristic
563C22⋊C4C22⋊Dic1111yescharacteristic
564C22⋊C4C22⋊Dic1111yescharacteristic
565C22⋊C4C22⋊Dic1111yescharacteristic
566C22⋊C4C22⋊Dic1112yes—
567C22⋊C4C22⋊Dic1112yes—
568C42—22no—
569C42—22no—
570C42C2×C22⋊D1112yes—
571C42C2×C22⋊D1112yes—
572C11#2241011yescharacteristic, complemented, Sylow
573C23—21no—
574C23—21no—
575C23—22no—
576C23—21no—
577C23—21no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—42no—
585C23—42no—
586C23C2×C22⋊Dic1112yes—
587C23C2×C22⋊Dic1111yescharacteristic
588C23C2×C22⋊Dic1111yescharacteristic
589C23C23×Dic1111yescharacteristic
590Q8—24no—
591Q8—24no—
592Q8—48no—
593Q8—42no—
594Q8—42no—
595D4—24no—
596D4—42no—
597D4—48no—
598D4—44no—
599D4—44no—
600D4—42no—
601D4—42no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—42no—
627C2×C4D4×Dic1114yes—
628C2×C4C2×C22⋊Dic1111yescharacteristic
629C2×C4C2×C22⋊Dic1111yescharacteristic
630C2×C4C2×C22⋊Dic1112yes—
631C2×C4C2×C22⋊Dic1112yes—
632C2×C4C2×C22⋊Dic1111yescharacteristic
633C2×C4C2×C22⋊Dic1111yescharacteristic
634C2×C4C2×D4×D1111yescharacteristic
635C2×C4C2×#434111yescharacteristic
636C2×C4#6703712yes—
637C2×C4C22×C22⋊D1112yes—
638C8—224no—
639C8—442no—
640C8—442no—
641C8—442no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—22no—
648C22—22no—
649C22—21no—
650C22—21no—
651C22—22no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—81no—
658C22—81no—
659C22—82no—
660C22—82no—
661C22#1062285012yescomplemented
662C22C2×D4×Dic1111yescharacteristic
663C22#1062332911yescharacteristic
664C22C22×C22⋊Dic1111yescharacteristic
665C4—21no—
666C4—21no—
667C4—22no—
668C4—24no—
669C4—22no—
670C4—21no—
671C4—21no—
672C4—42no—
673C4—42no—
674C4D4×C22⋊D1112yes—
675C4#1062333712yes—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—41no—
680C2—42no—
681C2—82no—
682C2D4×C22⋊Dic1111yescharacteristic
683C2C2×#1062285011yescharacteristic
684C2#1307709911yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic11
commutatorC23×C11C23×C4
FrattiniC22×C4C23×D11
Fitting, prime radicalC2×C11×#548C2
socleC22×C11C22×C22⋊C4
cosocleC22×C4×C11C24
hypercenterC2×#548D11
hypocenterC11#22410
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. D4×#4318C2semidirect
2. C2×#10622850C2semidirect
3. C22×#66900C2semidirect
4. #13069466C2semidirect
5. #13069085C2semidirect
6. #13069080C2semidirect
7. #13068612C2semidirect
8. #13068544C2semidirect
9. #13068540C2semidirect
10. C4×#66900C2semidirect
121. #66900D4semidirect
367. C22×C11#413semidirect
572. C11#22410semidirect
661. C22#10622850semidirect

Maximal subgroups

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

subgroupindex
D4×#43182
C2×#106228502
C22×#669002
#130694662
#130690852
#130690802
#130686122
#130685442
#130685402
C4×#669002
C2×C11×#5482
#2241011