Finite Group Databasebeta

← #14780984

Subgroups — #14780984

Order 2816.

2026 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#67002C211yesmaximal, characteristic, complemented
2C22×#67002C211yesmaximal, characteristic, complemented
3C2×#10622850C211yesmaximal, characteristic, complemented
4C22×#66887C211yesmaximal, characteristic, complemented
5#13077061C211yesmaximal, characteristic, complemented
6#13069727C214yesmaximal, complemented
7#13069722C214yesmaximal, complemented
8#13068342C211yesmaximal, characteristic, complemented
9C2×C11×#575C211yesmaximal, characteristic, complemented
10C22×C11×#41C2211yescharacteristic
11C22×C11×#41C2211yescharacteristic
12C23×D44C2211yescharacteristic
13C11×#575—24no—
14C11×#575—24no—
15C2×C11×#137—21no—
16C2×C11×#137C2212yescomplemented
17C2×C11×AGL(1,ℤ/8)—21no—
18C2×C11×AGL(1,ℤ/8)C2212yescomplemented
19C2×C11×#135—22no—
20C22×C11×M16C2211yescharacteristic
21C2×#67002—22no—
22C2×#67002—24no—
23C2×#67002—24no—
24C2×#67002—24no—
25C2×#67002—24no—
26C2×#67002—22no—
27C2×#67002—22no—
28C2×#67002C2214yes—
29C22×#4325—21no—
30C22×#4325C2212yescomplemented
31C22×#4323—21no—
32C22×#4323C2212yescomplemented
33C22×#4318C2211yescharacteristic
34C22×#4318C2211yescharacteristic
35C22×#4318C2211yescharacteristic
36#10622850—24no—
37#10622847—22no—
38#10622847C2214yescomplemented
39C2×#66900C2212yescomplemented
40C2×#66897C2212yescomplemented
41#10622820—22no—
42C2×#66887—24no—
43C2×#66887C2214yescomplemented
44#10622196C2214yescomplemented
45C24×D11—21no—
46C2×C11×#41—21no—
47C2×C11×#41—22no—
48C2×C11×#41—21no—
49C2×C11×#41—22no—
50C2×C11×#41—22no—
51C2×C11×#41—21no—
52C2×C11×#41—21no—
53C2×C11×#41—22no—
54C2×C11×#41—21no—
55C2×C11×#41—21no—
56C2×C11×#41—22no—
57C2×C11×#41—22no—
58C2×C11×#41—22no—
59C2×C11×#41D412yes—
60C2×C11×#41D414yes—
61C2×C11×#41C2312yes—
62C22×Q8×C11D411yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C22×D4×C11—21no—
65C22×D4×C11—21no—
66C22×D4×C11D411yescharacteristic
67C22×D4×C11C2311yescharacteristic
68C23×C4×C11—21no—
69C23×C4×C11—21no—
70C23×C4×C11C2311yescharacteristic
71C22×D44—21no—
72C22×D44—22no—
73C22×D44—21no—
74C22×D44—21no—
75C22×D44—21no—
76C22×D44—22no—
77C22×D44—22no—
78C22×D44—21no—
79C22×D44D414yes—
80C22×D44C2312yes—
81C11×#137—28no—
82C11×#137—24no—
83C11×#137—24no—
84C11×AGL(1,ℤ/8)—28no—
85C11×AGL(1,ℤ/8)—24no—
86C11×AGL(1,ℤ/8)—24no—
87C11×#135—216no—
88C2×C11×Q16—22no—
89C2×C11×SD16—22no—
90C2×C11×SD16—22no—
91C2×C11×D8—22no—
92C2×C11×M16—21no—
93C2×C11×M16—22no—
94C2×C11×M16D414yes—
95C2×C11×M16C2312yes—
96C22×C8×C11—21no—
97#67002—216no—
98#67002—216no—
99#67002—216no—
100#67002—28no—
101#67002—28no—
102C2×#4325—28no—
103C2×#4325—24no—
104C2×#4325—24no—
105C2×#4325—24no—
106C2×#4325—24no—
107C2×#4323—28no—
108C2×#4323—24no—
109C2×#4323—24no—
110C2×#4323—24no—
111C2×#4323—24no—
112C2×#4318—22no—
113C2×#4318—22no—
114C2×#4318—21no—
115C2×#4318—22no—
116C2×#4318—21no—
117C2×#4318—22no—
118C2×#4318—22no—
119C2×#4318D414yes—
120C2×#4318D412yes—
121C2×#4318D412yes—
122C2×#4318C2312yes—
123C2×#4318C2312yes—
124C22×C11⋊C8—21no—
125C22×C11⋊C8—21no—
126C22×C11⋊C8C2312yes—
127#66900—24no—
128#66897—24no—
129C22⋊(C11⋊C8)—28no—
130#66887—28no—
131#23439—111nomaximal, Sylow
132C24×C11—21no—
133C24×C11—21no—
134C24×C11#4111yescharacteristic
135C23×D11—24no—
136C23×D11—22no—
137C23×D11—41no—
138C23×D11—41no—
139C23×D11—42no—
140C23×D11—84no—
141C11×#41—24no—
142C11×#41—24no—
143C11×#41—24no—
144C11×#41—24no—
145C11×#41—24no—
146C11×#41—24no—
147C11×#41—22no—
148C11×#41—22no—
149C11×#41—22no—
150C11×#41—22no—
151C11×#41—42no—
152C11×#41—42no—
153C11×#41—42no—
154C11×#41—42no—
155C11×#41—42no—
156C11×#41—42no—
157C11×#41—42no—
158C11×#41—42no—
159C2×Q8×C11—21no—
160C2×Q8×C11—21no—
161C2×Q8×C11—22no—
162C2×Q8×C11—22no—
163C2×Q8×C11—21no—
164C2×Q8×C11—21no—
165C2×Q8×C11—21no—
166C2×Q8×C11—21no—
167C2×Q8×C11C2×D412yes—
168C2×Q8×C11C2×D412yes—
169C2×D4×C11—22no—
170C2×D4×C11—24no—
171C2×D4×C11—22no—
172C2×D4×C11—22no—
173C2×D4×C11—22no—
174C2×D4×C11—21no—
175C2×D4×C11—21no—
176C2×D4×C11—21no—
177C2×D4×C11—21no—
178C2×D4×C11—21no—
179C2×D4×C11—21no—
180C2×D4×C11—42no—
181C2×D4×C11—41no—
182C2×D4×C11—41no—
183C2×D4×C11—42no—
184C2×D4×C11—42no—
185C2×D4×C11C2×D412yes—
186C2×D4×C11C2×D412yes—
187C22×C4×C11—21no—
188C22×C4×C11—21no—
189C22×C4×C11—22no—
190C22×C4×C11—24no—
191C22×C4×C11—22no—
192C22×C4×C11—42no—
193C22×C4×C11—42no—
194C22×C4×C11—41no—
195C22×C4×C11—41no—
196C22×C4×C11—42no—
197C22×C4×C11C2×D412yes—
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11C2×D412yes—
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11C2×D411yescharacteristic
203C22×C4×C11C2×D412yes—
204C22×C4×C11C2×D412yes—
205C22×C4×C11#4111yescharacteristic
206C22×C4×C11C2411yescharacteristic
207C2×D44—24no—
208C2×D44—24no—
209C2×D44—24no—
210C2×D44—24no—
211C2×D44—24no—
212C2×D44—22no—
213C2×D44—22no—
214C2×D44—22no—
215C2×D44—22no—
216C2×D44—22no—
217C2×D44—42no—
218C2×D44—42no—
219C2×D44—41no—
220C2×D44—42no—
221C2×D44—41no—
222C2×D44—42no—
223C2×D44—42no—
224C2×D44C2×D414yes—
225C11×Q16—28no—
226C11×SD16—28no—
227C11×SD16—28no—
228C11×D8—28no—
229C11×M16—24no—
230C11×M16—22no—
231C11×M16C2×D414yes—
232C2×C8×C11—24no—
233C2×C8×C11—22no—
234#4325—216no—
235#4325—216no—
236#4323—216no—
237#4323—216no—
238#4318—24no—
239#4318—24no—
240#4318—24no—
241#4318—22no—
242#4318—22no—
243#4318—22no—
244#4318—42no—
245#4318C2×D414yes—
246C2×C11⋊C8—24no—
247C2×C11⋊C8—22no—
248C2×C11⋊C8—22no—
249C2×C11⋊C8—22no—
250C2×C11⋊C8—22no—
251C2×C11⋊C8—42no—
252C2×C11⋊C8C2×D414yes—
253C2×#575D1111yescharacteristic, complemented
254C22×AGL(1,ℤ/8)—111no—
255C22×AGL(1,ℤ/8)—111no—
256C2×#413—111no—
257C22×#100—111no—
258#2879—111no—
259#2019—114no—
260#2018—114no—
261#1738—111no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—42no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11—42no—
268C23×C11—82no—
269C23×C11—82no—
270C23×C11#12112yes—
271C23×C11#12111yescharacteristic
272C23×C11#12111yescharacteristic
273C23×C11#12112yes—
274C23×C11C2×#4111yescharacteristic
275C22×D11—24no—
276C22×D11—42no—
277C22×D11—42no—
278C22×D11—44no—
279C22×D11—44no—
280C22×D11—84no—
281C22×D11—84no—
282C22×D11—88no—
283C22×D11—84no—
284C22×D11—88no—
285Q8×C11—22no—
286Q8×C11—22no—
287Q8×C11—22no—
288Q8×C11—22no—
289Q8×C11—41no—
290Q8×C11—41no—
291Q8×C11—42no—
292D4×C11—22no—
293D4×C11—22no—
294D4×C11—22no—
295D4×C11—22no—
296D4×C11—42no—
297D4×C11—42no—
298D4×C11—44no—
299D4×C11—44no—
300D4×C11—44no—
301D4×C11—41no—
302D4×C11—41no—
303D4×C11—42no—
304C2×C4×C11—22no—
305C2×C4×C11—22no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—42no—
309C2×C4×C11—42no—
310C2×C4×C11—42no—
311C2×C4×C11—44no—
312C2×C4×C11—44no—
313C2×C4×C11—44no—
314C2×C4×C11#12012yes—
315C2×C4×C11#12012yes—
316C2×C4×C11#12012yes—
317C2×C4×C11#12012yes—
318C2×C4×C11#12012yes—
319C2×C4×C11#12012yes—
320C2×C4×C11#12112yes—
321C2×C4×C11#12111yescharacteristic
322C2×C4×C11#12112yes—
323C2×C4×C11#12111yescharacteristic
324C2×C4×C11#12712yes—
325C2×C4×C11#12712yes—
326C2×C4×C11C22×D411yescharacteristic
327C2×C4×C11C22×D411yescharacteristic
328C2×C4×C11C22×D411yescharacteristic
329C2×C4×C11C22×D411yescharacteristic
330C2×C4×C11C22×D411yescharacteristic
331C2×C4×C11C22×D411yescharacteristic
332D44—24no—
333D44—24no—
334D44—42no—
335D44—42no—
336D44—44no—
337D44—44no—
338C8×C11—24no—
339C11⋊C8—24no—
340C11⋊C8—24no—
341C11⋊C8—42no—
342C22×#41C2×D1111yescharacteristic
343C22×#41C2×D1111yescharacteristic
344C23×D4—111no—
345#575—24no—
346#575—24no—
347C2×#137—21no—
348C2×#137C2×D1112yescomplemented
349C2×AGL(1,ℤ/8)—21no—
350C2×AGL(1,ℤ/8)—114no—
351C2×AGL(1,ℤ/8)—222no—
352C2×AGL(1,ℤ/8)—222no—
353C2×AGL(1,ℤ/8)—224no—
354C2×AGL(1,ℤ/8)—224no—
355C2×AGL(1,ℤ/8)—224no—
356C2×AGL(1,ℤ/8)—224no—
357C2×AGL(1,ℤ/8)—222no—
358C2×AGL(1,ℤ/8)C2×D1112yescomplemented
359C2×#135—22no—
360C22×SD16—112no—
361C22×SD16—221no—
362C22×D8—112no—
363C22×D8—221no—
364C22×M16—111no—
365C22×M16—111no—
366C22×M16—111no—
367C22×M16C2×D1111yescharacteristic
368#413—224no—
369C2×#101—112no—
370C2×#100—112no—
371C2×#100—114no—
372C2×#100—224no—
373#408—114no—
374#408—222no—
375#407—222no—
376#341—114no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—44no—
385C22×C11—82no—
386C22×C11—82no—
387C22×C11—84no—
388C22×C11—82no—
389C22×C11#39212yes—
390C22×C11#39212yes—
391C22×C11C2×#12111yescharacteristic
392C22×C11C2×#12111yescharacteristic
393C22×C11C2×#12111yescharacteristic
394C2×D11—44no—
395C2×D11—88no—
396C2×D11—84no—
397C2×D11—88no—
398C2×D11—84no—
399C2×D11—84no—
400C4×C11—42no—
401C4×C11—42no—
402C4×C11#39212yes—
403C4×C11#39212yes—
404C4×C11C2×#12011yescharacteristic
405C4×C11C2×#12011yescharacteristic
406C4×C11C2×#12011yescharacteristic
407C4×C11C2×#12711yescharacteristic
408C25—221no—
409C2×#41—21no—
410C2×#41—22no—
411C2×#41—21no—
412C2×#41—22no—
413C2×#41—22no—
414C2×#41—21no—
415C2×#41—21no—
416C2×#41—22no—
417C2×#41—21no—
418C2×#41—21no—
419C2×#41—22no—
420C2×#41—22no—
421C2×#41—22no—
422C2×#41C22⋊D1112yes—
423C2×#41C22⋊D1114yes—
424C2×#41C22×D1112yes—
425C22×Q8C22⋊D1111yescharacteristic
426C22×Q8C22×D1111yescharacteristic
427C22×D4—21no—
428C22×D4—21no—
429C22×D4—114no—
430C22×D4—112no—
431C22×D4—221no—
432C22×D4—221no—
433C22×D4—222no—
434C22×D4—221no—
435C22×D4—221no—
436C22×D4—221no—
437C22×D4—222no—
438C22×D4—222no—
439C22×D4C22⋊D1111yescharacteristic
440C22×D4C22×D1111yescharacteristic
441C23×C4—21no—
442C23×C4—21no—
443C23×C4C22×D1111yescharacteristic
444#137—28no—
445#137—24no—
446#137—24no—
447AGL(1,ℤ/8)—28no—
448AGL(1,ℤ/8)—24no—
449AGL(1,ℤ/8)—24no—
450AGL(1,ℤ/8)—228no—
451AGL(1,ℤ/8)—228no—
452AGL(1,ℤ/8)—2216no—
453AGL(1,ℤ/8)—2216no—
454AGL(1,ℤ/8)—2216no—
455#135—216no—
456C2×Q16—22no—
457C2×SD16—22no—
458C2×SD16—22no—
459C2×SD16—224no—
460C2×SD16—224no—
461C2×SD16—228no—
462C2×SD16—224no—
463C2×SD16—224no—
464C2×D8—22no—
465C2×D8—224no—
466C2×D8—224no—
467C2×D8—228no—
468C2×D8—224no—
469C2×D8—224no—
470C2×M16—21no—
471C2×M16—22no—
472C2×M16—112no—
473C2×M16—112no—
474C2×M16—114no—
475C2×M16—112no—
476C2×M16—112no—
477C2×M16—222no—
478C2×M16—222no—
479C2×M16—222no—
480C2×M16—221no—
481C2×M16—221no—
482C2×M16—222no—
483C2×M16—222no—
484C2×M16C22⋊D1114yes—
485C2×M16C22×D1112yes—
486C22×C8—21no—
487C22×C8—112no—
488C22×C8—221no—
489C22×C8—221no—
490#101—224no—
491#100—224no—
492#100—228no—
493C22⋊C8—228no—
494C2×C11—21no—
495C2×C11—21no—
496C2×C11—22no—
497C2×C11—22no—
498C2×C11—82no—
499C2×C11—82no—
500C2×C11C2×#39211yescharacteristic
501C2×C11#306812yes—
502D11—84no—
503C24—21no—
504C24—21no—
505C24—224no—
506C24—222no—
507C24—442no—
508C24—441no—
509C24—441no—
510C24—884no—
511C24#434111yescharacteristic
512#41—24no—
513#41—24no—
514#41—24no—
515#41—24no—
516#41—24no—
517#41—24no—
518#41—22no—
519#41—22no—
520#41—22no—
521#41—22no—
522#41—42no—
523#41—42no—
524#41—42no—
525#41—42no—
526#41—42no—
527#41—42no—
528#41—42no—
529#41—42no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8C2×C22⋊D1112yes—
539C2×Q8C2×C22⋊D1112yes—
540C2×D4—24no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—21no—
545C2×D4—22no—
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—42no—
552C2×D4—42no—
553C2×D4—41no—
554C2×D4—41no—
555C2×D4—42no—
556C2×D4—114no—
557C2×D4—224no—
558C2×D4—224no—
559C2×D4—224no—
560C2×D4—224no—
561C2×D4—224no—
562C2×D4—222no—
563C2×D4—222no—
564C2×D4—222no—
565C2×D4—222no—
566C2×D4—222no—
567C2×D4—442no—
568C2×D4—441no—
569C2×D4—441no—
570C2×D4—442no—
571C2×D4—442no—
572C2×D4—442no—
573C2×D4—442no—
574C2×D4C2×C22⋊D1112yes—
575C2×D4C2×C22⋊D1112yes—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—24no—
579C22×C4—22no—
580C22×C4—22no—
581C22×C4—42no—
582C22×C4—42no—
583C22×C4—41no—
584C22×C4—41no—
585C22×C4—42no—
586C22×C4D4×D1112yes—
587C22×C4D4×D1111yescharacteristic
588C22×C4D4×D1111yescharacteristic
589C22×C4D4×D1112yes—
590C22×C4#434111yescharacteristic
591C22×C4C2×C22⋊D1111yescharacteristic
592C22×C4C2×C22⋊D1111yescharacteristic
593C22×C4C2×C22⋊D1112yes—
594C22×C4C2×C22⋊D1112yes—
595C22×C4C23×D1111yescharacteristic
596Q16—28no—
597SD16—28no—
598SD16—28no—
599SD16—2216no—
600SD16—2216no—
601D8—28no—
602D8—2216no—
603D8—2216no—
604M16—24no—
605M16—22no—
606M16—114no—
607M16—224no—
608M16—224no—
609M16—224no—
610M16—222no—
611M16—222no—
612M16—222no—
613M16—442no—
614M16C2×C22⋊D1114yes—
615C2×C8—24no—
616C2×C8—22no—
617C2×C8—114no—
618C2×C8—224no—
619C2×C8—222no—
620C2×C8—222no—
621C2×C8—222no—
622C2×C8—222no—
623C2×C8—442no—
624C11#2343911yescharacteristic, complemented, Sylow
625C23—22no—
626C23—22no—
627C23—42no—
628C23—41no—
629C23—41no—
630C23—42no—
631C23—82no—
632C23—82no—
633C23—224no—
634C23—442no—
635C23—442no—
636C23—444no—
637C23—444no—
638C23—884no—
639C23—884no—
640C23—884no—
641C23—888no—
642C23—888no—
643C23#6699112yes—
644C23#6699211yescharacteristic
645C23#6699211yescharacteristic
646C23#6699212yes—
647C23C2×#434111yescharacteristic
648Q8—22no—
649Q8—22no—
650Q8—22no—
651Q8—22no—
652Q8—41no—
653Q8—41no—
654Q8—42no—
655D4—22no—
656D4—22no—
657D4—22no—
658D4—22no—
659D4—42no—
660D4—42no—
661D4—44no—
662D4—44no—
663D4—44no—
664D4—41no—
665D4—41no—
666D4—42no—
667D4—224no—
668D4—224no—
669D4—442no—
670D4—444no—
671D4—444no—
672D4—442no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4#6699012yes—
684C2×C4#6699012yes—
685C2×C4#6699012yes—
686C2×C4#6699012yes—
687C2×C4#6699112yes—
688C2×C4#6699212yes—
689C2×C4#6699211yescharacteristic
690C2×C4#6699211yescharacteristic
691C2×C4#6699312yes—
692C2×C4#6699312yes—
693C2×C4#6700612yes—
694C2×C4#6700612yes—
695C2×C4C2×D4×D1111yescharacteristic
696C2×C4C2×D4×D1111yescharacteristic
697C2×C4C2×D4×D1111yescharacteristic
698C2×C4C22×C22⋊D1111yescharacteristic
699C2×C4C22×C22⋊D1111yescharacteristic
700C2×C4C22×C22⋊D1111yescharacteristic
701C8—24no—
702C8—224no—
703C8—224no—
704C8—442no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—42no—
709C22—42no—
710C22—44no—
711C22—42no—
712C22—42no—
713C22—82no—
714C22—82no—
715C22—84no—
716C22—82no—
717C22—444no—
718C22—884no—
719C22—884no—
720C22—888no—
721C22—888no—
722C22—884no—
723C22#1062283612yes—
724C22#1062283612yes—
725C22C2×#6699111yescharacteristic
726C22C2×#6699211yescharacteristic
727C22C2×#6699211yescharacteristic
728C4—42no—
729C4—42no—
730C4#1062283612yes—
731C4#1062283612yes—
732C4C2×#6699011yescharacteristic
733C4C2×#6699011yescharacteristic
734C4C2×#6699311yescharacteristic
735C4C2×#6700611yescharacteristic
736C2—21no—
737C2—21no—
738C2—22no—
739C2—22no—
740C2—82no—
741C2—82no—
742C2—884no—
743C2C2×#1062283611yescharacteristic
744C2#1307834612yes—
subgroupG/H
centerC22C2×#66992
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#575C2
socleC22×C11C2×#121
hypercenterC2×#575D11
hypocenterC11#23439
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#575

Complements

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

NH ≅ G/Ntype
1. C22×#67002C2semidirect
2. C22×#67002C2semidirect
3. C2×#10622850C2semidirect
4. C22×#66887C2semidirect
5. #13077061C2semidirect
6. #13069727C2semidirect
7. #13069722C2semidirect
8. #13068342C2semidirect
9. C2×C11×#575C2semidirect
16. C2×C11×#137C22semidirect
18. C2×C11×AGL(1,ℤ/8)C22semidirect
30. C22×#4325C22semidirect
32. C22×#4323C22semidirect
38. #10622847C22semidirect
39. C2×#66900C22semidirect
40. C2×#66897C22semidirect
43. C2×#66887C22semidirect
44. #10622196C22semidirect
253. C2×#575D11semidirect
348. C2×#137C2×D11semidirect
358. C2×AGL(1,ℤ/8)C2×D11semidirect
624. C11#23439semidirect

Maximal subgroups

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

subgroupindex
C22×#670022
C2×#106228502
C22×#668872
#130770612
#130697272
#130697222
#130683422
C2×C11×#5752
#2343911