Finite Group Databasebeta

← #29601777

Subgroups — #29601777

Order 15616.

2118 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519735C211yesmaximal, characteristic
2C2×C4⋊C4×Dic61C211yesmaximal, characteristic, complemented
3C2×#16839613C211yesmaximal, characteristic, complemented
4C2×#16839609C212yesmaximal
5#21444072C211yesmaximal, characteristic, complemented
6#21444071C212yesmaximal, complemented
7#21444065C211yesmaximal, characteristic
8#21444063C212yesmaximal
9#21444061C211yesmaximal, characteristic
10#95×Dic61C212yesmaximal, complemented
11C61×#1441C211yesmaximal, characteristic, complemented
12C23×C4×D61C2211yescharacteristic
13C2×#14519735—24no—
14C2×#14519735—24no—
15C2×#14519735C418yescomplemented
16C22×C4⋊Dic61C2211yescharacteristic
17C22×C4⋊Dic61C2211yescharacteristic
18C22×#11758196C2212yes—
19C22×#11758198C2212yes—
20C22×#11758198C2212yes—
21C22×#11758198C2211yescharacteristic
22C22×#11758198C2211yescharacteristic
23C22×C4×Dic61C2212yes—
24C22×C4×Dic61C2212yes—
25C22×C4×Dic61C2211yescharacteristic
26C22×C4×Dic61C2211yescharacteristic
27C4⋊C4×Dic61—24no—
28#16839613—24no—
29#16839609—28no—
30C2×#14519684C2212yes—
31C2×#14519684C2212yes—
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C2×#14519684C2211yescharacteristic
35C2×#14519684C2212yes—
36C22×C4⋊C4×C61C2211yescharacteristic
37C22×C4⋊C4×C61C2211yescharacteristic
38C2×#95×C61C2212yes—
39C2×#95×C61C2212yes—
40C2×#95×C61C2211yescharacteristic
41C24×D61C2311yescharacteristic
42C23×Dic61C2311yescharacteristic
43C23×Dic61C2312yes—
44C23×Dic61C2312yes—
45C23×Dic61C2311yescharacteristic
46C23×Dic61C2311yescharacteristic
47C22×C4×D61—22no—
48C22×C4×D61—22no—
49C22×C4×D61—22no—
50C22×C4×D61—22no—
51C22×C4×D61C2×C414yes—
52C22×C4×D61D414yes—
53C22×C4×D61Q814yes—
54#14519735—232no—
55C2×C4⋊Dic61—22no—
56C2×C4⋊Dic61—22no—
57C2×C4⋊Dic61—22no—
58C2×C4⋊Dic61—24no—
59C2×C4⋊Dic61C2×C414yes—
60C2×#11758196—24no—
61C2×#11758196—24no—
62C2×#11758196—24no—
63C2×#11758198—24no—
64C2×#11758198—24no—
65C2×#11758198—22no—
66C2×#11758198—22no—
67C2×#11758198—24no—
68C2×#11758198—24no—
69C2×#11758198—22no—
70C2×#11758198—22no—
71C2×#11758198—24no—
72C2×#11758198—24no—
73C2×#11758198C2×C414yes—
74C2×#11758198C2×C414yes—
75C2×C4×Dic61—22no—
76C2×C4×Dic61—22no—
77C2×C4×Dic61—24no—
78C2×C4×Dic61—24no—
79C2×C4×Dic61—24no—
80C2×C4×Dic61—24no—
81C2×C4×Dic61—24no—
82C2×C4×Dic61—24no—
83C2×C4×Dic61C2×C414yes—
84C2×C4×Dic61C2×C414yes—
85C2×C4×Dic61D414yes—
86C2×C4×Dic61D414yes—
87#14519684—24no—
88#14519684—22no—
89#14519684—24no—
90#14519684—24no—
91#14519684—24no—
92#14519684—24no—
93C23×C4×C61C2311yescharacteristic
94C23×C4×C61C2312yes—
95C23×C4×C61C2312yes—
96C23×C4×C61C2311yescharacteristic
97C23×C4×C61C2311yescharacteristic
98C2×C4⋊C4×C61—22no—
99C2×C4⋊C4×C61—22no—
100C2×C4⋊C4×C61—22no—
101C2×C4⋊C4×C61—24no—
102C2×C4⋊C4×C61C2×C414yes—
103#95×C61—24no—
104#95×C61—22no—
105#95×C61—24no—
106C24×C61C2411yescharacteristic
107C23×D61—21no—
108C23×D61—21no—
109C23×D61—21no—
110C23×D61—21no—
111C23×D61—22no—
112C23×D61—22no—
113C23×D61—22no—
114C23×D61—22no—
115C23×D61C22×C412yes—
116C23×D61C2×D412yes—
117C23×D61C2×Q812yes—
118C22×C4×C61—21no—
119C22×C4×C61—21no—
120C22×C4×C61—21no—
121C22×C4×C61—21no—
122C22×C4×C61—22no—
123C22×C4×C61—22no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—21no—
129C22×C4×C61—21no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—22no—
135C22×C4×C61—22no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61C22×C412yes—
141C22×C4×C61C22×C412yes—
142C22×C4×C61C22×C412yes—
143C22×C4×C61C2×D412yes—
144C22×C4×C61C2×D412yes—
145C22×C4×C61C2×D412yes—
146C22×C4×C61C2×Q812yes—
147C22×C4×C61#4114yes—
148C22×C4×C61#4114yes—
149C22×Dic61—22no—
150C22×Dic61—22no—
151C22×Dic61—22no—
152C22×Dic61—22no—
153C22×Dic61—22no—
154C22×Dic61—22no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—22no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61C22×C412yes—
168C22×Dic61C22×C412yes—
169C22×Dic61C22×C412yes—
170C22×Dic61C2×D412yes—
171C22×Dic61C2×D412yes—
172C22×Dic61C2×D412yes—
173C22×Dic61C2×D412yes—
174C22×Dic61C2×D412yes—
175C22×Dic61C2×Q812yes—
176C22×Dic61#4114yes—
177C22×Dic61#4114yes—
178C22×Dic61#4112yes—
179C22×Dic61#4112yes—
180C2×C4×D61—28no—
181C2×C4×D61—28no—
182C2×C4×D61—28no—
183C2×C4×D61—28no—
184C2×C4×D61—28no—
185C2×C4×D61—28no—
186C2×C4×D61C4⋊C4116yescomplemented
187C4⋊C4×C61—28no—
188C4⋊C4×C61—28no—
189#11758198—216no—
190#11758198—216no—
191#11758198—28no—
192#11758198—28no—
193C4⋊Dic61—28no—
194C4⋊Dic61—28no—
195#11758196—216no—
196C4×Dic61—28no—
197C4×Dic61—48no—
198C4×Dic61—48no—
199C4×Dic61C22⋊C4116yescomplemented
200C23×C61C23×C411yescharacteristic
201C23×C61C22×D411yescharacteristic
202C23×C61C22×D411yescharacteristic
203C23×C61C22×D411yescharacteristic
204C23×C61C22×Q811yescharacteristic
205C23×C61C2×#4111yescharacteristic
206C23×C61C2×#4111yescharacteristic
207C23×C61C2×#4112yes—
208C23×C61C2×#4112yes—
209C23×C61C2×#4112yes—
210C23×C61C2×#4112yes—
211C22×D61—22no—
212C22×D61—22no—
213C22×D61—24no—
214C22×D61—24no—
215C22×D61—22no—
216C22×D61—22no—
217C22×D61—22no—
218C22×D61—22no—
219C22×D61—24no—
220C22×D61—24no—
221C22×D61—24no—
222C22×D61—24no—
223C22×D61—41no—
224C22×D61—41no—
225C22×D61—42no—
226C22×D61—42no—
227C22×D61—42no—
228C22×D61—42no—
229C22×D61—42no—
230C22×D61—42no—
231C22×D61—41no—
232C22×D61—41no—
233C22×D61C2×C4⋊C414yes—
234C2×C4×C61—22no—
235C2×C4×C61—22no—
236C2×C4×C61—24no—
237C2×C4×C61—22no—
238C2×C4×C61—22no—
239C2×C4×C61—22no—
240C2×C4×C61—22no—
241C2×C4×C61—22no—
242C2×C4×C61—22no—
243C2×C4×C61—24no—
244C2×C4×C61—22no—
245C2×C4×C61—24no—
246C2×C4×C61—24no—
247C2×C4×C61—24no—
248C2×C4×C61—24no—
249C2×C4×C61—24no—
250C2×C4×C61—24no—
251C2×C4×C61—24no—
252C2×C4×C61—42no—
253C2×C4×C61—42no—
254C2×C4×C61—42no—
255C2×C4×C61—42no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—42no—
259C2×C4×C61—42no—
260C2×C4×C61—42no—
261C2×C4×C61—42no—
262C2×C4×C61—42no—
263C2×C4×C61C2×C22⋊C414yes—
264C2×C4×C61C2×C4⋊C414yes—
265C2×Dic61—24no—
266C2×Dic61—24no—
267C2×Dic61—22no—
268C2×Dic61—22no—
269C2×Dic61—22no—
270C2×Dic61—24no—
271C2×Dic61—24no—
272C2×Dic61—24no—
273C2×Dic61—24no—
274C2×Dic61—24no—
275C2×Dic61—24no—
276C2×Dic61—24no—
277C2×Dic61—42no—
278C2×Dic61—42no—
279C2×Dic61—42no—
280C2×Dic61—42no—
281C2×Dic61—42no—
282C2×Dic61—42no—
283C2×Dic61—42no—
284C2×Dic61—42no—
285C2×Dic61—42no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61C2×C22⋊C414yes—
289C2×Dic61C2×C22⋊C414yes—
290C2×Dic61C2×C4⋊C414yes—
291C2×Dic61#11714yes—
292C2×Dic61#12114yes—
293C2×Dic61#12114yes—
294C2×Dic61C22⋊Q814yes—
295C2×Dic61C22⋊Q814yes—
296C4×D61—232no—
297#13852—611nomaximal, Sylow
298C22×C61C22×C22⋊C411yescharacteristic
299C22×C61C22×C4⋊C411yescharacteristic
300C22×C61C2×#11711yescharacteristic
301C22×C61C4×#4112yes—
302C22×C61C4×#4112yes—
303C22×C61C2×#12111yescharacteristic
304C22×C61C2×#12111yescharacteristic
305C22×C61C2×C22⋊Q811yescharacteristic
306C22×C61C2×C22⋊Q811yescharacteristic
307C22×C61#52511yescharacteristic
308C22×C61#52511yescharacteristic
309C22×C61#52512yes—
310C22×C61#52512yes—
311C22×C61#52512yes—
312C22×C61#52912yes—
313C22×C61#52912yes—
314C22×C61#52912yes—
315C22×C61#52912yes—
316C22×C61#53212yes—
317C22×C61#53211yescharacteristic
318C22×C61#53211yescharacteristic
319C22×C61#53312yes—
320C22×C61#53312yes—
321C2×D61—24no—
322C2×D61—28no—
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—44no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—44no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—44no—
332C4×C61—24no—
333C4×C61—24no—
334C4×C61—44no—
335C4×C61—44no—
336C4×C61—42no—
337Dic61—24no—
338Dic61—44no—
339Dic61—44no—
340Dic61—42no—
341Dic61#38018yes—
342C22×#117—611no—
343C2×C4×C4⋊C4—611no—
344C2×C4×C4⋊C4—611no—
345C2×C4×C22⋊C4—612no—
346#1441—612no—
347#1441—611no—
348#1441D6111yescharacteristic, complemented
349#1439—612no—
350#1439—611no—
351#1439—611no—
352C4×#95—612no—
353C2×C61C2×#38011yescharacteristic
354C2×C61#229612yes—
355C2×C61#229711yescharacteristic
356C2×C61#229711yescharacteristic
357C2×C61#229812yes—
358C2×C61#239211yescharacteristic
359C2×C61#239211yescharacteristic
360C2×C61#239212yes—
361C2×C61#239611yescharacteristic
362C2×C61#239611yescharacteristic
363C2×C61#239612yes—
364D61—44no—
365C24×C4—611no—
366C2×#117—618no—
367C2×#117—1224no—
368C2×#117—1224no—
369C22×C4⋊C4—611no—
370C22×C4⋊C4—612no—
371C22×C4⋊C4—611no—
372C22×C4⋊C4C2×D6111yescharacteristic
373C22×C4⋊C4C2×D6111yescharacteristic
374C22×C22⋊C4—611no—
375C22×C22⋊C4—611no—
376C22×C22⋊C4—612no—
377C22×C22⋊C4—612no—
378C22×C42—611no—
379C22×C42—611no—
380C22×C42—612no—
381C22×C42—612no—
382C4×C4⋊C4—1224no—
383C4×C4⋊C4—1224no—
384C4×C22⋊C4—1228no—
385C2×#95—612no—
386C2×#95—612no—
387C2×#95—612no—
388C2×#95—612no—
389C2×#95—611no—
390C2×#95—612no—
391C2×#95C2×D6112yes—
392C2×#95C2×D6111yescharacteristic
393C2×#95C2×D6112yes—
394C61#1385211yescharacteristic, complemented, Sylow
395C25—611no—
396C23×C4—611no—
397C23×C4—611no—
398C23×C4—614no—
399C23×C4—614no—
400C23×C4—614no—
401C23×C4—611no—
402C23×C4—612no—
403C23×C4—612no—
404C23×C4—1222no—
405C23×C4—1222no—
406C23×C4—1222no—
407C23×C4—1222no—
408C23×C4C22×D6111yescharacteristic
409C23×C4C22×D6112yes—
410C23×C4C22×D6112yes—
411C23×C4C22×D6111yescharacteristic
412C23×C4C22×D6111yescharacteristic
413#117—12232no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—614no—
419C2×C4⋊C4—1222no—
420C2×C4⋊C4—1222no—
421C2×C4⋊C4—1224no—
422C2×C4⋊C4—1224no—
423C2×C4⋊C4—1224no—
424C2×C4⋊C4—1222no—
425C2×C4⋊C4—1224no—
426C2×C4⋊C4C4×D6114yes—
427C2×C22⋊C4—614no—
428C2×C22⋊C4—614no—
429C2×C22⋊C4—1222no—
430C2×C22⋊C4—1222no—
431C2×C22⋊C4—1224no—
432C2×C22⋊C4—1224no—
433C2×C22⋊C4—1224no—
434C2×C22⋊C4—1224no—
435C2×C22⋊C4—1222no—
436C2×C22⋊C4—1222no—
437C2×C22⋊C4—1224no—
438C2×C22⋊C4—1224no—
439C2×C42—614no—
440C2×C42—614no—
441C2×C42—614no—
442C2×C42—614no—
443C2×C42—1222no—
444C2×C42—1222no—
445C2×C42—1224no—
446C2×C42—1224no—
447C2×C42—1224no—
448C2×C42—1224no—
449C2×C42—1224no—
450C2×C42—1224no—
451#95—24no—
452#95—22no—
453#95—24no—
454#95—1224no—
455#95—1224no—
456#95—1224no—
457#95—1224no—
458#95—1222no—
459#95—1224no—
460C24—612no—
461C24—612no—
462C24—612no—
463C24—1221no—
464C24—1221no—
465C24—1222no—
466C24—1222no—
467C24—1221no—
468C24—1221no—
469C24—1222no—
470C24—1222no—
471C24C23×D6111yescharacteristic
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—612no—
495C22×C4—612no—
496C22×C4—612no—
497C22×C4—612no—
498C22×C4—612no—
499C22×C4—612no—
500C22×C4—612no—
501C22×C4—612no—
502C22×C4—612no—
503C22×C4—612no—
504C22×C4—6116no—
505C22×C4—612no—
506C22×C4—614no—
507C22×C4—614no—
508C22×C4—1228no—
509C22×C4—1228no—
510C22×C4—1228no—
511C22×C4—1228no—
512C22×C4—1228no—
513C22×C4—1228no—
514C22×C4—1222no—
515C22×C4—1222no—
516C22×C4—1222no—
517C22×C4—1222no—
518C22×C4—1222no—
519C22×C4—1222no—
520C22×C4—1221no—
521C22×C4—1221no—
522C22×C4—1222no—
523C22×C4—1222no—
524C22×C4—1222no—
525C22×C4—1222no—
526C22×C4—1222no—
527C22×C4—1222no—
528C22×C4—1222no—
529C22×C4—1222no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4C2×C4×D6112yes—
533C22×C4C2×C4×D6112yes—
534C22×C4C2×C4×D6112yes—
535C22×C4D4×D6112yes—
536C22×C4D4×D6112yes—
537C22×C4D4×D6112yes—
538C22×C4#1175822414yes—
539C22×C4Q8×D6112yes—
540C22×C4#1175822614yes—
541C4⋊C4—28no—
542C4⋊C4—28no—
543C4⋊C4—1228no—
544C4⋊C4—12216no—
545C4⋊C4—1228no—
546C22⋊C4—1228no—
547C22⋊C4—12216no—
548C22⋊C4—12216no—
549C22⋊C4—1228no—
550C42—6116no—
551C42—1228no—
552C42—2448no—
553C42—2448no—
554C23—614no—
555C23—1222no—
556C23—1222no—
557C23—1224no—
558C23—1224no—
559C23—1222no—
560C23—1222no—
561C23—1222no—
562C23—1222no—
563C23—1224no—
564C23—1224no—
565C23—1224no—
566C23—1224no—
567C23—2441no—
568C23—2441no—
569C23—2442no—
570C23—2442no—
571C23—2442no—
572C23—2442no—
573C23—2442no—
574C23—2442no—
575C23—2441no—
576C23—2441no—
577C23C22×C4×D6111yescharacteristic
578C23C2×D4×D6111yescharacteristic
579C23C2×D4×D6111yescharacteristic
580C23C2×D4×D6111yescharacteristic
581C23C2×Q8×D6111yescharacteristic
582C23#41×D6111yescharacteristic
583C23#41×D6111yescharacteristic
584C23#41×D6112yes—
585C23#41×D6112yes—
586C23C2×#1175822412yes—
587C23C2×#1175822612yes—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—614no—
618C2×C4—614no—
619C2×C4—614no—
620C2×C4—614no—
621C2×C4—614no—
622C2×C4—614no—
623C2×C4—614no—
624C2×C4—614no—
625C2×C4—12232no—
626C2×C4—1224no—
627C2×C4—1224no—
628C2×C4—1222no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1224no—
632C2×C4—1224no—
633C2×C4—1224no—
634C2×C4—1224no—
635C2×C4—1224no—
636C2×C4—1224no—
637C2×C4—1224no—
638C2×C4—2442no—
639C2×C4—2442no—
640C2×C4—2442no—
641C2×C4—2442no—
642C2×C4—2442no—
643C2×C4—2442no—
644C2×C4—2442no—
645C2×C4—2442no—
646C2×C4—2441no—
647C2×C4—2442no—
648C2×C4—2441no—
649C2×C4C22⋊C4×D6114yes—
650C2×C4C4⋊C4×D6114yes—
651C22—1228no—
652C22—1224no—
653C22—2442no—
654C22—2442no—
655C22—2444no—
656C22—2442no—
657C22—2442no—
658C22—2444no—
659C22—2442no—
660C22—2442no—
661C22—2444no—
662C22C2×C22⋊C4×D6111yescharacteristic
663C22C2×C4⋊C4×D6111yescharacteristic
664C22#117×D6111yescharacteristic
665C22C4×#1175822412yes—
666C22C4×#1175822612yes—
667C22#121×D6111yescharacteristic
668C22#121×D6111yescharacteristic
669C22C22⋊Q8×D6111yescharacteristic
670C22C22⋊Q8×D6111yescharacteristic
671C22#1684026811yescharacteristic
672C22#1684027011yescharacteristic
673C22#1684027212yes—
674C22#1684027512yes—
675C22#1684027512yes—
676C22#1684028912yes—
677C22#1684029512yes—
678C22#1684029712yes—
679C22#1684029812yes—
680C22#1684030712yes—
681C22#1684031111yescharacteristic
682C22#1684031311yescharacteristic
683C22#1684031712yes—
684C22#1684031812yes—
685C4—24no—
686C4—24no—
687C4—44no—
688C4—44no—
689C4—42no—
690C4—618no—
691C4—1224no—
692C4—2444no—
693C4—2444no—
694C4—2442no—
695C2—2444no—
696C2#380×D6111yescharacteristic
697C2#2144830012yes—
698C2#2144830411yescharacteristic
699C2#2144830811yescharacteristic
700C2#2144831112yes—
701C2#2144905811yescharacteristic
702C2#2144906011yescharacteristic
703C2#2144906412yes—
704C2#2144909011yescharacteristic
705C2#2144909211yescharacteristic
706C2#2144909612yes—
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×#1441C2
socle, cosocleC24×C61C24
prime radicalC24×D61C23
hypercenter#1441D61
hypocenterC61#13852
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
2. C2×C4⋊C4×Dic61C2semidirect
3. C2×#16839613C2semidirect
5. #21444072C2semidirect
6. #21444071C2semidirect
10. #95×Dic61C2semidirect
11. C61×#1441C2semidirect
15. C2×#14519735C4semidirect
186. C2×C4×D61C4⋊C4semidirect
199. C4×Dic61C22⋊C4semidirect
348. #1441D61semidirect
394. C61#13852semidirect

Maximal subgroups

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

subgroupindex
C22×#145197352
C2×C4⋊C4×Dic612
C2×#168396132
C2×#168396092
#214440722
#214440712
#214440652
#214440632
#214440612
#95×Dic612
C61×#14412
#1385261