Finite Group Databasebeta

← #14814587

Subgroups — #14814587

Order 2816.

890 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13072030C211yesmaximal, characteristic
2C4⋊C4×C22⋊D11C211yesmaximal, characteristic, complemented
3#13070182C211yesmaximal, characteristic, complemented
4#13070049C211yesmaximal, characteristic, complemented
5#13070022C211yesmaximal, characteristic, complemented
6#13069795C211yesmaximal, characteristic, complemented
7#13069245C211yesmaximal, characteristic, complemented
8#13069211C211yesmaximal, characteristic, complemented
9#13069051C211yesmaximal, characteristic, complemented
10#13068930C211yesmaximal, characteristic, complemented
11#13068910C211yesmaximal, characteristic, complemented
12#13068816C211yesmaximal, characteristic, complemented
13#13068702C211yesmaximal, characteristic, complemented
14#13068334C211yesmaximal, characteristic, complemented
15C11×#1874C211yesmaximal, characteristic, complemented
16C2×C11×#121C2211yescharacteristic
17C22×C11×C4⋊C4C2211yescharacteristic
18C2×#66991C2211yescharacteristic
19C2×C4×C22⋊D11—21no—
20C2×C4×C22⋊D11C2211yescharacteristic
21C22×#4313C2211yescharacteristic
22C2×#66945C2211yescharacteristic
23C2×C4⋊C4×D11C2211yescharacteristic
24C2×C11×#102C2211yescharacteristic
25C2×C11×#102C2211yescharacteristic
26C2×C11×C22⋊C8C2211yescharacteristic
27#10622836—21no—
28#10622834—21no—
29#10622834C2211yescharacteristic
30C2×#66896C2211yescharacteristic
31C2×#66896C2211yescharacteristic
32#10622825C2211yescharacteristic
33#10622825C2211yescharacteristic
34#10622823—21no—
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36C2×(C2×D11)⋊C8C2211yescharacteristic
37C2×#66881C2211yescharacteristic
38#10622602—21no—
39#10622600C2211yescharacteristic
40#10622598C2211yescharacteristic
41#10622589C2211yescharacteristic
42C4⋊C4×Dic11C2211yescharacteristic
43#10622585—21no—
44C2×#66871C2211yescharacteristic
45#10622574—21no—
46#10622557—21no—
47C11×#340C2211yescharacteristic
48C11×#340C2211yescharacteristic
49#10622189C2211yescharacteristic
50#10622189C2211yescharacteristic
51#10622189C2211yescharacteristic
52#10622188C2211yescharacteristic
53#10622188C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59C22×D4×C11—21no—
60C22×D4×C11C2311yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C22×C22⋊D11D411yescharacteristic
65C22×C4×D11—21no—
66C22×C4×D11C2311yescharacteristic
67C22×C8×C11C2311yescharacteristic
68C22×C8×C11C2311yescharacteristic
69C11×#121—22no—
70C11×#121—41no—
71C2×C11×C4⋊C4—22no—
72C2×C11×C4⋊C4—21no—
73C2×C11×C4⋊C4—41no—
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C22⋊C4—21no—
78C2×C22⋊Dic11—21no—
79C2×C22⋊Dic11—21no—
80C2×C22⋊Dic11—21no—
81C2×C22⋊Dic11—21no—
82C2×C22⋊Dic11—21no—
83C2×C22⋊Dic11D411yescharacteristic
84#66991—22no—
85#66991—22no—
86C4×C22⋊D11—22no—
87C4×C22⋊D11—22no—
88C4×C22⋊D11—44no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4D411yescharacteristic
92C2×C4⋊Dic11—21no—
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×Dic11⋊C4—21no—
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4D411yescharacteristic
101C2×C4×Dic11—21no—
102C2×C4×Dic11—21no—
103C2×C4×Dic11C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C2×#4313—22no—
107C2×#4313—41no—
108C2×#4313—41no—
109#66945—22no—
110#66945—41no—
111C4⋊C4×D11—22no—
112C4⋊C4×D11—41no—
113C11×#102—22no—
114C11×#102—41no—
115C11×C22⋊C8—41no—
116#66896—41no—
117#66896—41no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C22⋊(C11⋊C8)—41no—
124(C2×D11)⋊C8—22no—
125#66881—41no—
126#66871—22no—
127#26214—111nomaximal, Sylow
128C24×C11—21no—
129C24×C11C2×D411yescharacteristic
130C23×D11C2×D411yescharacteristic
131C2×D4×C11—21no—
132C2×D4×C11—21no—
133C2×D4×C11—21no—
134C2×D4×C11—21no—
135C2×D4×C11—21no—
136C2×D4×C11—21no—
137C2×D4×C11—42no—
138C2×D4×C11—42no—
139C2×D4×C11—81no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—42no—
150C22×C4×C11—42no—
151C22×C4×C11—81no—
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2411yescharacteristic
154C2×C22⋊D11—22no—
155C2×C22⋊D11—22no—
156C2×C22⋊D11—22no—
157C2×C22⋊D11—42no—
158C2×C22⋊D11—81no—
159C2×C22⋊D11—81no—
160C22×Dic11—21no—
161C22×Dic11—21no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11C2×D411yescharacteristic
165C22×Dic11C2×D411yescharacteristic
166C22×Dic11C2×D411yescharacteristic
167C2×C4×D11—21no—
168C2×C4×D11—21no—
169C2×C4×D11—21no—
170C2×C4×D11—21no—
171C2×C4×D11—42no—
172C2×C4×D11—42no—
173C2×C4×D11—81no—
174C2×C4×D11#4112yes—
175C2×C4×D11#4112yes—
176C2×C8×C11—21no—
177C2×C8×C11—21no—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—42no—
187C11×C4⋊C4#4112yes—
188C11×C4⋊C4#4112yes—
189C11×C22⋊C4—42no—
190C22⋊Dic11—22no—
191C22⋊Dic11—42no—
192C22⋊Dic11—42no—
193C22⋊Dic11—42no—
194C22⋊Dic11—81no—
195C22⋊Dic11—81no—
196(C2×D11)⋊C4—22no—
197(C2×D11)⋊C4—42no—
198(C2×D11)⋊C4—42no—
199C4⋊Dic11—21no—
200C4⋊Dic11—21no—
201C4⋊Dic11—21no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—81no—
208Dic11⋊C4—22no—
209Dic11⋊C4—42no—
210Dic11⋊C4—42no—
211Dic11⋊C4—81no—
212C4×Dic11—21no—
213C4×Dic11—21no—
214C4×Dic11—42no—
215C4×Dic11—42no—
216C2×C11⋊C8—21no—
217C2×C11⋊C8—21no—
218C2×C11⋊C8—21no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222#4313—44no—
223#2414—111no—
224D4×C4⋊C4—111no—
225#2100—111no—
226#2077—111no—
227#2071—111no—
228#2033—111no—
229#1926—111no—
230#1921—111no—
231#1895—111no—
232#1874—111no—
233#1874D1111yescharacteristic, complemented
234#1870—111no—
235#1854—111no—
236#1823—111no—
237#1736—111no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11AGL(1,ℤ/8)12yes—
252C23×C11C22×D411yescharacteristic
253C22×D11—21no—
254C22×D11—21no—
255C22×D11—21no—
256C22×D11—21no—
257C22×D11—21no—
258C22×D11—21no—
259C22×D11#12312yes—
260D4×C11—41no—
261D4×C11—41no—
262D4×C11—41no—
263D4×C11—41no—
264D4×C11—84no—
265C2×C4×C11—21no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—84no—
282C2×C4×C11C2×#4111yescharacteristic
283C2×C4×C11C2×#4111yescharacteristic
284C2×C4×C11C2×#4111yescharacteristic
285C2×C4×C11C2×#4111yescharacteristic
286C2×C4×C11H(5,𝔽2)11yescharacteristic
287C2×C4×C11H(5,𝔽2)11yescharacteristic
288C22⋊D11—28no—
289C22⋊D11—84no—
290C2×Dic11—21no—
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11#12312yes—
310C2×Dic11#13712yes—
311C4×D11—22no—
312C4×D11—22no—
313C4×D11—22no—
314C4×D11—22no—
315C4×D11—84no—
316C8×C11—41no—
317C8×C11—41no—
318C11⋊C8—41no—
319C11⋊C8—41no—
320C22×M16—111no—
321C2×#121—111no—
322C2×#121C2×D1111yescharacteristic
323C2×C4×D4—111no—
324C2×C4×D4—221no—
325C2×#117—111no—
326C22×C4⋊C4—111no—
327C22×C4⋊C4C2×D1111yescharacteristic
328C2×#107—111no—
329C2×#106—111no—
330C2×#102—111no—
331C2×#102—111no—
332C2×#102C2×D1111yescharacteristic
333C2×#102C2×D1111yescharacteristic
334C2×C22⋊C8—111no—
335C2×C22⋊C8—111no—
336C2×C22⋊C8C2×D1111yescharacteristic
337#394—221no—
338#392—221no—
339#390—111no—
340#390—221no—
341#389—111no—
342#389—221no—
343#388—221no—
344#385—221no—
345#385—221no—
346#384—111no—
347#380—111no—
348#380—111no—
349#380—111no—
350C4×C4⋊C4—111no—
351#340—111no—
352#340—111no—
353#340—111no—
354#340—111no—
355#340—111no—
356#340—111no—
357#340—111no—
358#340—111no—
359#340C2×D1111yescharacteristic
360#340C2×D1111yescharacteristic
361#336—111no—
362#336—111no—
363C22×C11—22no—
364C22×C11—22no—
365C22×C11—22no—
366C22×C11—41no—
367C22×C11—41no—
368C22×C11—41no—
369C22×C11—41no—
370C22×C11—81no—
371C22×C11—81no—
372C22×C11—81no—
373C22×C11—81no—
374C22×C11—81no—
375C22×C11—81no—
376C22×C11—81no—
377C22×C11C2×#12311yescharacteristic
378C22×C11#54611yescharacteristic
379C22×C11#54611yescharacteristic
380C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
381C22×C11C2×#13711yescharacteristic
382C22×C11#57611yescharacteristic
383C22×C11#57711yescharacteristic
384C2×D11—22no—
385C2×D11—22no—
386C2×D11—22no—
387C2×D11—41no—
388C2×D11—41no—
389C2×D11—41no—
390C2×D11—41no—
391C4×C11—41no—
392C4×C11—42no—
393C4×C11—42no—
394C4×C11—81no—
395C4×C11#52911yescharacteristic
396C4×C11#53811yescharacteristic
397C4×C11#55311yescharacteristic
398C4×C11#55311yescharacteristic
399Dic11—22no—
400Dic11—22no—
401Dic11—41no—
402Dic11—81no—
403Dic11—81no—
404Dic11—81no—
405Dic11—81no—
406C22×D4—21no—
407C22×D4—111no—
408C22×D4—221no—
409C22×D4C22×D1111yescharacteristic
410C23×C4—21no—
411C23×C4—111no—
412C23×C4—221no—
413C23×C4C22×D1111yescharacteristic
414C2×M16—222no—
415C2×M16—441no—
416C2×M16—441no—
417C22×C8—111no—
418C22×C8—111no—
419C22×C8C22×D1111yescharacteristic
420C22×C8C22×D1111yescharacteristic
421#121—22no—
422#121—41no—
423#121—222no—
424#121—222no—
425C4×D4—222no—
426C4×D4—222no—
427C4×D4—444no—
428#117—222no—
429#117—441no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—41no—
433C2×C4⋊C4—111no—
434C2×C4⋊C4—111no—
435C2×C4⋊C4—111no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—222no—
439C2×C4⋊C4—221no—
440C2×C4⋊C4—221no—
441C2×C4⋊C4—221no—
442C2×C4⋊C4—221no—
443C2×C4⋊C4—441no—
444C2×C4⋊C4C22×D1111yescharacteristic
445C2×C4⋊C4C22×D1111yescharacteristic
446C2×C4⋊C4C22×D1111yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—111no—
449C2×C22⋊C4—111no—
450C2×C22⋊C4—221no—
451C2×C22⋊C4—221no—
452C2×C22⋊C4—221no—
453C2×C22⋊C4—221no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C42—111no—
458C2×C42—221no—
459C2×C42—221no—
460#107—222no—
461#106—441no—
462#102—22no—
463#102—41no—
464#102—441no—
465#102—441no—
466C22⋊C8—41no—
467C22⋊C8—222no—
468C22⋊C8—441no—
469#95—221no—
470#95—221no—
471#95—221no—
472#95—221no—
473#95—221no—
474C2×C11—42no—
475C2×C11—161no—
476C2×C11#244411yescharacteristic
477C2×C11#309211yescharacteristic
478C2×C11#309611yescharacteristic
479C2×C11#330611yescharacteristic
480C2×C11#331811yescharacteristic
481C2×C11#332911yescharacteristic
482C2×C11#333311yescharacteristic
483D11—42no—
484C24—21no—
485C24—111no—
486C24D4×D1111yescharacteristic
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—81no—
496C2×D4—222no—
497C2×D4—222no—
498C2×D4—222no—
499C2×D4—442no—
500C2×D4—881no—
501C2×D4—881no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—81no—
514C22×C4—111no—
515C22×C4—111no—
516C22×C4—112no—
517C22×C4—112no—
518C22×C4—111no—
519C22×C4—221no—
520C22×C4—221no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—442no—
528C22×C4—442no—
529C22×C4—881no—
530C22×C4D4×D1111yescharacteristic
531C22×C4C23×D1111yescharacteristic
532M16—444no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—221no—
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—42no—
550C4⋊C4—222no—
551C4⋊C4—221no—
552C4⋊C4—221no—
553C4⋊C4—221no—
554C4⋊C4—221no—
555C4⋊C4—221no—
556C4⋊C4—221no—
557C4⋊C4—221no—
558C4⋊C4—221no—
559C4⋊C4—442no—
560C4⋊C4—442no—
561C4⋊C4—881no—
562C4⋊C4—881no—
563C4⋊C4#433912yes—
564C4⋊C4#434112yes—
565C22⋊C4—42no—
566C22⋊C4—222no—
567C22⋊C4—222no—
568C22⋊C4—442no—
569C22⋊C4—442no—
570C22⋊C4—442no—
571C22⋊C4—442no—
572C22⋊C4—442no—
573C22⋊C4—881no—
574C22⋊C4—881no—
575C42—221no—
576C42—221no—
577C42—442no—
578C42—442no—
579C11#2621411yescharacteristic, complemented, Sylow
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—112no—
594C23—221no—
595C23—221no—
596C23—221no—
597C23—221no—
598C23—221no—
599C23—221no—
600C23#6696412yes—
601C23C2×D4×D1111yescharacteristic
602D4—41no—
603D4—41no—
604D4—41no—
605D4—41no—
606D4—84no—
607D4—228no—
608D4—884no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
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—84no—
626C2×C4—112no—
627C2×C4—112no—
628C2×C4—221no—
629C2×C4—221no—
630C2×C4—221no—
631C2×C4—221no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—221no—
637C2×C4—221no—
638C2×C4—221no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—884no—
652C2×C4C2×#433911yescharacteristic
653C2×C4C2×#434111yescharacteristic
654C2×C4#6703711yescharacteristic
655C2×C4#6703711yescharacteristic
656C2×C4#41×D1111yescharacteristic
657C2×C4#41×D1111yescharacteristic
658C8—41no—
659C8—41no—
660C8—441no—
661C8—441no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—222no—
677C22—222no—
678C22—222no—
679C22—441no—
680C22—441no—
681C22—441no—
682C22—441no—
683C22#1062302111yescharacteristic
684C22#1062312211yescharacteristic
685C22D11×#12311yescharacteristic
686C22C2×#6696411yescharacteristic
687C22#1062329311yescharacteristic
688C22#1062330511yescharacteristic
689C22D11×#13711yescharacteristic
690C4—42no—
691C4—41no—
692C4—42no—
693C4—81no—
694C4—222no—
695C4—222no—
696C4—441no—
697C4—881no—
698C4—881no—
699C4—881no—
700C4—881no—
701C4#1062308811yescharacteristic
702C4#1062308911yescharacteristic
703C4#1062314411yescharacteristic
704C4#1062314511yescharacteristic
705C2—42no—
706C2—161no—
707C2—442no—
708C2#1307236311yescharacteristic
709C2#1307853511yescharacteristic
710C2#1307857311yescharacteristic
711C2#1308057311yescharacteristic
712C2#1308076111yescharacteristic
713C2#1308090311yescharacteristic
714C2#1308095011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#1874C2
socleC23×C11C22×D4
prime radical#13072030C2
hypercenter#1874D11
hypocenterC11#26214
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1874

Complements

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

NH ≅ G/Ntype
2. C4⋊C4×C22⋊D11C2semidirect
3. #13070182C2semidirect
4. #13070049C2semidirect
5. #13070022C2semidirect
6. #13069795C2semidirect
7. #13069245C2semidirect
8. #13069211C2semidirect
9. #13069051C2semidirect
10. #13068930C2semidirect
11. #13068910C2semidirect
12. #13068816C2semidirect
13. #13068702C2semidirect
14. #13068334C2semidirect
15. C11×#1874C2semidirect
233. #1874D11semidirect
579. C11#26214semidirect

Maximal subgroups

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

subgroupindex
#130720302
C4⋊C4×C22⋊D112
#130701822
#130700492
#130700222
#130697952
#130692452
#130692112
#130690512
#130689302
#130689102
#130688162
#130687022
#130683342
C11×#18742
#2621411