Finite Group Databasebeta

← C2×#13073503 #14923779

Subgroups — C2×#13073503 #14923779

Order 2816.

5054 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66988C211yesmaximal, characteristic, complemented
2C22×D4×Dic11C211yesmaximal, characteristic, complemented
3C23×C22⋊Dic11C211yesmaximal, characteristic, complemented
4#13073503C2116yesmaximal, direct product factor
5C2×#10622561C212yesmaximal, complemented
6C2×#10622835C212yesmaximal, complemented
7C2×#10622558C212yesmaximal, complemented
8C2×#10622833C212yesmaximal, complemented
9C2×#10622556C211yesmaximal, characteristic, complemented
10C2×#10622555C211yesmaximal, characteristic, complemented
11C2×#10622860C211yesmaximal, characteristic, complemented
12C22×C11×#120C211yesmaximal, characteristic
13C26×C11C2211yescharacteristic
14C23×D4×C11C2212yes—
15C23×D4×C11C2211yescharacteristic
16C24×Dic11C2211yescharacteristic
17C24×Dic11C2211yescharacteristic
18C24×Dic11C2211yescharacteristic, complemented
19C2×C11×#120—28no—
20C2×C11×#120C2218yes—
21C22×C11×C22⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2212yes—
23C22×C22⋊Dic11—28no—
24C22×C22⋊Dic11C2211yescharacteristic
25C22×C22⋊Dic11C2211yescharacteristic
26C22×C22⋊Dic11C2212yes—
27C22×C22⋊Dic11C2212yes—
28C22×C22⋊Dic11C2212yes—
29C22×C22⋊Dic11C2212yes—
30C22×C22⋊Dic11C2218yescomplemented
31C22×C22⋊Dic11C2212yescomplemented
32C22×C22⋊Dic11C2211yescharacteristic, complemented
33C2×#66988—28no—
34C2×#66988C2218yescomplemented
35C2×D4×Dic11—28no—
36C2×D4×Dic11C2218yescomplemented
37C22×C4⋊Dic11C2211yescharacteristic, complemented
38C22×Dic11⋊C4C2212yescomplemented
39C22×Dic11⋊C4C2212yescomplemented
40C22×C4×Dic11C2211yescharacteristic, complemented
41#10622860C2218yescomplemented
42#10622835C22116yescomplemented
43#10622833C22116yescomplemented
44C2×C11⋊#95C2212yescomplemented
45C2×C11⋊#95C2212yescomplemented
46C2×C11⋊#95C2212yescomplemented
47#10622561C22116yescomplemented
48#10622558C22116yescomplemented
49#10622556C2218yescomplemented
50#10622555C2218yescomplemented
51C25×C11—24no—
52C25×C11—28no—
53C25×C11—24no—
54C25×C11—24no—
55C25×C11—44no—
56C25×C11C2311yescharacteristic
57C25×C11C2312yes—
58C25×C11C2314yes—
59C25×C11C2311yescharacteristic
60C22×D4×C11—24no—
61C22×D4×C11—24no—
62C22×D4×C11—28no—
63C22×D4×C11—28no—
64C22×D4×C11—44no—
65C22×D4×C11D418yes—
66C22×D4×C11C2318yes—
67C22×D4×C11C2314yes—
68C23×C4×C11C2312yes—
69C23×C4×C11C2311yescharacteristic
70C23×Dic11—24no—
71C23×Dic11—24no—
72C23×Dic11—24no—
73C23×Dic11—24no—
74C23×Dic11—44no—
75C23×Dic11—44no—
76C23×Dic11D418yescomplemented
77C23×Dic11C2311yescharacteristic
78C23×Dic11C2312yes—
79C23×Dic11C2312yes—
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2314yes—
82C23×Dic11C2311yescharacteristic
83C23×Dic11C2311yescharacteristic
84C23×Dic11C2314yes—
85C23×Dic11C2314yescomplemented
86C11×#120—232no—
87C2×C11×C22⋊C4—24no—
88C2×C11×C22⋊C4—28no—
89C2×C11×C22⋊C4C2314yes—
90C2×C11×C22⋊C4C2318yes—
91C2×C22⋊Dic11—24no—
92C2×C22⋊Dic11—24no—
93C2×C22⋊Dic11—28no—
94C2×C22⋊Dic11—28no—
95C2×C22⋊Dic11—24no—
96C2×C22⋊Dic11—28no—
97C2×C22⋊Dic11—28no—
98C2×C22⋊Dic11—232no—
99C2×C22⋊Dic11—44no—
100C2×C22⋊Dic11C2314yes—
101C2×C22⋊Dic11C2314yes—
102C2×C22⋊Dic11C2318yes—
103C2×C22⋊Dic11C2318yes—
104C2×C22⋊Dic11C2318yes—
105C2×C22⋊Dic11C2318yes—
106C2×C22⋊Dic11C2314yescomplemented
107C2×C22⋊Dic11C2318yescomplemented
108#66988—232no—
109D4×Dic11—232no—
110C2×C4⋊Dic11—24no—
111C2×C4⋊Dic11C2314yescomplemented
112C2×Dic11⋊C4—28no—
113C2×Dic11⋊C4—44no—
114C2×Dic11⋊C4C2318yescomplemented
115C2×Dic11⋊C4C2318yescomplemented
116C2×C4×Dic11—24no—
117C2×C4×Dic11C2314yescomplemented
118C11⋊#95C2318yescomplemented
119C11⋊#95C2318yescomplemented
120C11⋊#95C2318yescomplemented
121C2×#2534—111nomaximal, Sylow
122C24×C11—24no—
123C24×C11—24no—
124C24×C11—232no—
125C24×C11—28no—
126C24×C11—24no—
127C24×C11—22no—
128C24×C11—24no—
129C24×C11—22no—
130C24×C11—24no—
131C24×C11—216no—
132C24×C11—24no—
133C24×C11—24no—
134C24×C11—24no—
135C24×C11—24no—
136C24×C11—24no—
137C24×C11—28no—
138C24×C11—28no—
139C24×C11—48no—
140C24×C11—432no—
141C24×C11—432no—
142C24×C11—416no—
143C24×C11—416no—
144C24×C11C2×D414yes—
145C24×C11C2×D414yes—
146C24×C11C2×D414yes—
147C24×C11#4118yes—
148C24×C11#4114yes—
149C24×C11C2412yes—
150C24×C11C2414yes—
151C24×C11C2412yes—
152C24×C11C2411yescharacteristic
153C2×D4×C11—232no—
154C2×D4×C11—28no—
155C2×D4×C11—28no—
156C2×D4×C11—216no—
157C2×D4×C11—216no—
158C2×D4×C11—48no—
159C2×D4×C11—432no—
160C2×D4×C11C2×D4116yes—
161C22×C4×C11—22no—
162C22×C4×C11—22no—
163C22×C4×C11—24no—
164C22×C4×C11—24no—
165C22×C4×C11—24no—
166C22×C4×C11C2×D414yes—
167C22×C4×C11C2414yes—
168C22×C4×C11C2412yes—
169C22×Dic11—28no—
170C22×Dic11—22no—
171C22×Dic11—24no—
172C22×Dic11—24no—
173C22×Dic11—22no—
174C22×Dic11—28no—
175C22×Dic11—28no—
176C22×Dic11—24no—
177C22×Dic11—24no—
178C22×Dic11—24no—
179C22×Dic11—28no—
180C22×Dic11—24no—
181C22×Dic11—24no—
182C22×Dic11—24no—
183C22×Dic11—24no—
184C22×Dic11—24no—
185C22×Dic11—416no—
186C22×Dic11—48no—
187C22×Dic11—48no—
188C22×Dic11—416no—
189C22×Dic11—416no—
190C22×Dic11C2×D414yes—
191C22×Dic11C2×D414yes—
192C22×Dic11C2×D4116yescomplemented
193C22×Dic11C2412yes—
194C22×Dic11C2414yes—
195C22×Dic11C2412yes—
196C22×Dic11C2414yes—
197C22×Dic11C2412yes—
198C22×Dic11C2412yes—
199C11×C22⋊C4—28no—
200C11×C22⋊C4—216no—
201C22⋊Dic11—28no—
202C22⋊Dic11—216no—
203C22⋊Dic11—216no—
204C22⋊Dic11—28no—
205C22⋊Dic11—28no—
206C22⋊Dic11—216no—
207C22⋊Dic11—216no—
208C22⋊Dic11—48no—
209C4⋊Dic11—28no—
210Dic11⋊C4—216no—
211Dic11⋊C4—48no—
212C4×Dic11—28no—
213C22×#123—111no—
214C22×#120D1111yescharacteristic
215C22×C4×D4—111no—
216C23×C22⋊C4—111no—
217#2534—1116no—
218C2×#396—112no—
219C2×#394—112no—
220C2×#388—112no—
221C2×#386—112no—
222C2×#381—111no—
223C2×#380—111no—
224C2×#379—111no—
225C23×C11—28no—
226C23×C11—28no—
227C23×C11—216no—
228C23×C11—216no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—232no—
232C23×C11—28no—
233C23×C11—216no—
234C23×C11—216no—
235C23×C11—216no—
236C23×C11—216no—
237C23×C11—24no—
238C23×C11—22no—
239C23×C11—24no—
240C23×C11—22no—
241C23×C11—24no—
242C23×C11—24no—
243C23×C11—24no—
244C23×C11—24no—
245C23×C11—24no—
246C23×C11—24no—
247C23×C11—432no—
248C23×C11—432no—
249C23×C11—416no—
250C23×C11—4128no—
251C23×C11—416no—
252C23×C11—48no—
253C23×C11—44no—
254C23×C11—44no—
255C23×C11—48no—
256C23×C11—48no—
257C23×C11—48no—
258C23×C11—48no—
259C23×C11#121116yes—
260C23×C11C22×D414yes—
261C23×C11C22×D412yes—
262C23×C11C22×D414yes—
263C23×C11C22×D414yes—
264C23×C11C22×D412yes—
265C23×C11C2×#4118yes—
266C23×C11C2×#4114yes—
267C23×C11C2×#4112yes—
268C23×C11C2×#4114yes—
269C23×C11H(5,𝔽2)14yes—
270C23×C11C2511yescharacteristic
271D4×C11—232no—
272D4×C11—432no—
273C2×C4×C11—28no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—24no—
277C2×C4×C11—24no—
278C2×C4×C11—24no—
279C2×C4×C11—48no—
280C2×C4×C11C22×D414yes—
281C2×Dic11—28no—
282C2×Dic11—28no—
283C2×Dic11—24no—
284C2×Dic11—24no—
285C2×Dic11—22no—
286C2×Dic11—24no—
287C2×Dic11—24no—
288C2×Dic11—22no—
289C2×Dic11—24no—
290C2×Dic11—24no—
291C2×Dic11—24no—
292C2×Dic11—24no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—416no—
296C2×Dic11—416no—
297C2×Dic11—416no—
298C2×Dic11—48no—
299C2×Dic11—44no—
300C2×Dic11—44no—
301C2×Dic11—48no—
302C2×Dic11C22×D414yes—
303C2×Dic11C22×D414yes—
304C26C2×D1111yescharacteristic
305C23×D4C2×D1112yes—
306C23×D4C2×D1111yescharacteristic
307C24×C4—111no—
308C24×C4—111no—
309C24×C4—111no—
310C2×#123—118no—
311C2×#123—228no—
312C2×#120—28no—
313C2×#120C2×D1118yes—
314C2×C4×D4—118no—
315C2×C4×D4—228no—
316C22×C4⋊C4—112no—
317C22×C4⋊C4—111no—
318C22×C4⋊C4—112no—
319C22×C22⋊C4—111no—
320C22×C22⋊C4—112no—
321C22×C22⋊C4—112no—
322C22×C22⋊C4—112no—
323C22×C22⋊C4—112no—
324C22×C22⋊C4—118no—
325C22×C22⋊C4—111no—
326C22×C22⋊C4—111no—
327C22×C22⋊C4—112no—
328C22×C22⋊C4—228no—
329C22×C22⋊C4C2×D1112yes—
330C22×C22⋊C4C2×D1111yescharacteristic
331C22×C42—111no—
332#396—1116no—
333#394—1116no—
334#388—1116no—
335#386—1116no—
336#381—118no—
337#380—118no—
338#379—118no—
339C2×#95—112no—
340C2×#95—112no—
341C2×#95—112no—
342C22×C11—24no—
343C22×C11—24no—
344C22×C11—28no—
345C22×C11—28no—
346C22×C11—232no—
347C22×C11—24no—
348C22×C11—28no—
349C22×C11—28no—
350C22×C11—28no—
351C22×C11—28no—
352C22×C11—464no—
353C22×C11—44no—
354C22×C11—42no—
355C22×C11—44no—
356C22×C11—42no—
357C22×C11—44no—
358C22×C11—44no—
359C22×C11—44no—
360C22×C11—416no—
361C22×C11—432no—
362C22×C11C2×#12118yes—
363C22×C11C2×#12114yes—
364C22×C11#52514yes—
365C22×C11#53414yes—
366C22×C11#54618yes—
367C22×C11#55118yes—
368C22×C11C23×D411yescharacteristic
369C22×C11C23×D411yescharacteristic
370C22×C11C22×#4111yescharacteristic
371C22×C11C22×#4112yes—
372C22×C11C2×H(5,𝔽2)12yes—
373C4×C11—24no—
374C4×C11—44no—
375Dic11—24no—
376Dic11—24no—
377Dic11—44no—
378Dic11—42no—
379Dic11—42no—
380Dic11—44no—
381C25—24no—
382C25—28no—
383C25—24no—
384C25—24no—
385C25—44no—
386C25C22×D1112yes—
387C25C22×D1111yescharacteristic
388C25C22×D1114yes—
389C25C22×D1111yescharacteristic
390C22×D4—24no—
391C22×D4—24no—
392C22×D4—28no—
393C22×D4—28no—
394C22×D4—44no—
395C22×D4C22⋊D1118yes—
396C22×D4C22×D1118yes—
397C22×D4C22×D1114yes—
398C23×C4—111no—
399C23×C4—111no—
400C23×C4—118no—
401C23×C4—114no—
402C23×C4—114no—
403C23×C4—112no—
404C23×C4—111no—
405C23×C4—112no—
406C23×C4—111no—
407C23×C4—114no—
408C23×C4—224no—
409C23×C4—224no—
410C23×C4—224no—
411C23×C4—224no—
412C23×C4—444no—
413C23×C4—444no—
414C23×C4C22×D1112yes—
415C23×C4C22×D1111yescharacteristic
416#123—2232no—
417#120—232no—
418C4×D4—2232no—
419C2×C4⋊C4—114no—
420C2×C4⋊C4—118no—
421C2×C4⋊C4—118no—
422C2×C4⋊C4—224no—
423C2×C4⋊C4—228no—
424C2×C4⋊C4—444no—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—28no—
427C2×C22⋊C4—118no—
428C2×C22⋊C4—118no—
429C2×C22⋊C4—114no—
430C2×C22⋊C4—114no—
431C2×C22⋊C4—114no—
432C2×C22⋊C4—118no—
433C2×C22⋊C4—118no—
434C2×C22⋊C4—118no—
435C2×C22⋊C4—228no—
436C2×C22⋊C4—228no—
437C2×C22⋊C4—2232no—
438C2×C22⋊C4—224no—
439C2×C22⋊C4—224no—
440C2×C22⋊C4—228no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—228no—
443C2×C22⋊C4—444no—
444C2×C22⋊C4C22×D1114yes—
445C2×C22⋊C4C22×D1118yes—
446C2×C42—114no—
447C2×C42—224no—
448#95—118no—
449#95—118no—
450#95—118no—
451C2×C11—28no—
452C2×C11—44no—
453C2×C11—48no—
454C2×C11#253418yescomplemented
455C2×C11C22×#12111yescharacteristic
456C2×C11C2×#52511yescharacteristic
457C2×C11C2×#53411yescharacteristic
458C2×C11C2×#54612yes—
459C2×C11C2×#55112yes—
460C24—24no—
461C24—24no—
462C24—232no—
463C24—28no—
464C24—24no—
465C24—22no—
466C24—22no—
467C24—24no—
468C24—216no—
469C24—24no—
470C24—24no—
471C24—24no—
472C24—24no—
473C24—24no—
474C24—24no—
475C24—28no—
476C24—28no—
477C24—48no—
478C24—432no—
479C24—432no—
480C24—416no—
481C24—416no—
482C24D4×D1114yes—
483C24#434118yes—
484C24#434114yes—
485C24C2×C22⋊D1114yes—
486C24C2×C22⋊D1114yes—
487C24C23×D1114yes—
488C24C23×D1112yes—
489C24C23×D1112yes—
490C24C23×D1111yescharacteristic
491C2×D4—232no—
492C2×D4—28no—
493C2×D4—28no—
494C2×D4—216no—
495C2×D4—216no—
496C2×D4—48no—
497C2×D4—432no—
498C2×D4C2×C22⋊D11116yes—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—114no—
505C22×C4—114no—
506C22×C4—112no—
507C22×C4—112no—
508C22×C4—1116no—
509C22×C4—112no—
510C22×C4—114no—
511C22×C4—112no—
512C22×C4—114no—
513C22×C4—228no—
514C22×C4—224no—
515C22×C4—224no—
516C22×C4—222no—
517C22×C4—228no—
518C22×C4—224no—
519C22×C4—222no—
520C22×C4—224no—
521C22×C4—224no—
522C22×C4—228no—
523C22×C4—224no—
524C22×C4—224no—
525C22×C4—224no—
526C22×C4—224no—
527C22×C4—224no—
528C22×C4—228no—
529C22×C4—4416no—
530C22×C4—448no—
531C22×C4—448no—
532C22×C4—4416no—
533C22×C4—4416no—
534C22×C4C2×C22⋊D1114yes—
535C22×C4C23×D1114yes—
536C22×C4C23×D1112yes—
537C4⋊C4—228no—
538C4⋊C4—2216no—
539C4⋊C4—448no—
540C22⋊C4—28no—
541C22⋊C4—216no—
542C22⋊C4—2216no—
543C22⋊C4—2216no—
544C22⋊C4—228no—
545C22⋊C4—228no—
546C22⋊C4—2216no—
547C22⋊C4—228no—
548C22⋊C4—2216no—
549C22⋊C4—448no—
550C42—228no—
551C11C2×#253411yescharacteristic, complemented, Sylow
552C23—216no—
553C23—28no—
554C23—216no—
555C23—28no—
556C23—24no—
557C23—24no—
558C23—232no—
559C23—28no—
560C23—216no—
561C23—216no—
562C23—216no—
563C23—216no—
564C23—24no—
565C23—22no—
566C23—24no—
567C23—22no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—432no—
575C23—432no—
576C23—416no—
577C23—4128no—
578C23—416no—
579C23—48no—
580C23—48no—
581C23—44no—
582C23—48no—
583C23—48no—
584C23—44no—
585C23—48no—
586C23#66992116yes—
587C23C2×D4×D1114yes—
588C23C2×D4×D1112yes—
589C23C2×#434118yes—
590C23C2×#434114yes—
591C23C2×#434112yes—
592C23C2×#434114yes—
593C23#6703714yes—
594C23C22×C22⋊D1114yes—
595C23C22×C22⋊D1114yes—
596C23C22×C22⋊D1112yes—
597C23C24×D1111yescharacteristic
598D4—232no—
599D4—432no—
600C2×C4—28no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—48no—
607C2×C4—114no—
608C2×C4—114no—
609C2×C4—228no—
610C2×C4—228no—
611C2×C4—224no—
612C2×C4—224no—
613C2×C4—222no—
614C2×C4—224no—
615C2×C4—222no—
616C2×C4—224no—
617C2×C4—224no—
618C2×C4—224no—
619C2×C4—224no—
620C2×C4—224no—
621C2×C4—224no—
622C2×C4—224no—
623C2×C4—4416no—
624C2×C4—4416no—
625C2×C4—4416no—
626C2×C4—448no—
627C2×C4—448no—
628C2×C4—444no—
629C2×C4—444no—
630C2×C4C22×C22⋊D1114yes—
631C22—28no—
632C22—24no—
633C22—232no—
634C22—28no—
635C22—24no—
636C22—28no—
637C22—28no—
638C22—28no—
639C22—24no—
640C22—28no—
641C22—464no—
642C22—44no—
643C22—44no—
644C22—42no—
645C22—44no—
646C22—432no—
647C22—416no—
648C22—44no—
649C22—44no—
650C22—42no—
651C22#1062311714yes—
652C22#1062311818yes—
653C22#1062312014yes—
654C22C2×#6699218yes—
655C22C2×#6699214yes—
656C22#1062333718yes—
657C22C22×D4×D1111yescharacteristic
658C22C22×#434111yescharacteristic
659C22C22×#434112yes—
660C22C2×#6703712yes—
661C22C23×C22⋊D1111yescharacteristic
662C4—24no—
663C4—44no—
664C4—224no—
665C4—224no—
666C4—442no—
667C4—444no—
668C4—444no—
669C4—442no—
670C2—28no—
671C2—48no—
672C2—44no—
673C2#1307350318yesdirect product factor
674C2C22×#6699211yescharacteristic
675C2C2×#1062311711yescharacteristic
676C2C2×#1062312011yescharacteristic
677C2C2×#1062333712yes—
678C2C2×#1062311812yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
Fitting, prime radicalC22×C11×#120C2
socleC24×C11C24
hypercenterC22×#120D11
hypocenterC11C2×#2534
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#120

Complements

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

NH ≅ G/Ntype
1. C22×#66988C2semidirect
2. C22×D4×Dic11C2semidirect
3. C23×C22⋊Dic11C2semidirect
4. #13073503C2direct (N × H)
5. C2×#10622561C2semidirect
6. C2×#10622835C2semidirect
7. C2×#10622558C2semidirect
8. C2×#10622833C2semidirect
9. C2×#10622556C2semidirect
10. C2×#10622555C2semidirect
11. C2×#10622860C2semidirect
18. C24×Dic11C22semidirect
30. C22×C22⋊Dic11C22semidirect
31. C22×C22⋊Dic11C22semidirect
32. C22×C22⋊Dic11C22semidirect
34. C2×#66988C22semidirect
36. C2×D4×Dic11C22semidirect
37. C22×C4⋊Dic11C22semidirect
38. C22×Dic11⋊C4C22semidirect
39. C22×Dic11⋊C4C22semidirect
40. C22×C4×Dic11C22semidirect
41. #10622860C22semidirect
42. #10622835C22semidirect
43. #10622833C22semidirect
44. C2×C11⋊#95C22semidirect
45. C2×C11⋊#95C22semidirect
46. C2×C11⋊#95C22semidirect
47. #10622561C22semidirect
48. #10622558C22semidirect
49. #10622556C22semidirect
50. #10622555C22semidirect
76. C23×Dic11D4semidirect
85. C23×Dic11C23semidirect
106. C2×C22⋊Dic11C23semidirect
107. C2×C22⋊Dic11C23semidirect
111. C2×C4⋊Dic11C23semidirect
114. C2×Dic11⋊C4C23semidirect
115. C2×Dic11⋊C4C23semidirect
117. C2×C4×Dic11C23semidirect
118. C11⋊#95C23semidirect
119. C11⋊#95C23semidirect
120. C11⋊#95C23semidirect
192. C22×Dic11C2×D4semidirect
454. C2×C11#2534semidirect
551. C11C2×#2534semidirect
673. C2#13073503direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669882
C22×D4×Dic112
C23×C22⋊Dic112
#130735032
C2×#106225612
C2×#106228352
C2×#106225582
C2×#106228332
C2×#106225562
C2×#106225552
C2×#106228602
C22×C11×#1202
C2×#253411