Finite Group Databasebeta

← #10731927

Subgroups — #10731927

Order 768.

1778 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#397C211yesmaximal, characteristic, complemented
2C2×#4992C211yesmaximal, characteristic, complemented
3C2×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
4C2×#4957C212yesmaximal
5C2×#4957C211yesmaximal, characteristic
6#71549C212yesmaximal, complemented
7#71546C211yesmaximal, characteristic, complemented
8#69429C212yesmaximal, complemented
9#69427C211yesmaximal, characteristic, complemented
10Dic3⋊#95C211yesmaximal, characteristic, complemented
11Dic3⋊#95C212yesmaximal, complemented
12#15147—31nomaximal, Sylow
13C23×#67C2211yescharacteristic
14C22×C3×C4⋊C4C2211yescharacteristic
15C22×C3×C22⋊C4C2211yescharacteristic
16C22×C3×C22⋊C4C2212yes—
17C22×#217C2212yes—
18C22×#217C2211yescharacteristic
19C22×(C2×D3)⋊C4C2211yescharacteristic
20C22×(C2×D3)⋊C4C2212yes—
21C22×(C2×D3)⋊C4C2212yes—
22C22×(C2×D3)⋊C4C2211yescharacteristic
23C22×C4⋊Dic3C2211yescharacteristic
24C22×Dic3⋊C4C2212yes—
25C22×Dic3⋊C4C2211yescharacteristic
26C22×C4×Dic3C2212yes—
27C22×C4×Dic3C2211yescharacteristic
28C3×#397—24no—
29C2×C3×#95C2211yescharacteristic
30C2×C3×#95C2212yes—
31C2×C3⋊#95C2211yescharacteristic
32C2×C3⋊#95C2212yes—
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2212yes—
36C2×C3⋊#95C2212yes—
37#4992—24no—
38Dic3×C4⋊C4—24no—
39#4957—28no—
40#4957—24no—
41C2×#397—31no—
42C2×#397D311yescharacteristic, complemented
43C2×#390—31no—
44C2×#390—32no—
45C2×C4×C4⋊C4—31no—
46#1440—32no—
47#1440—32no—
48#1439—31no—
49#1439—31no—
50C4⋊#95—31no—
51C4⋊#95—32no—
52C25×C3C2311yescharacteristic
53C24×D3C2311yescharacteristic
54C23×C3×C4C2312yes—
55C23×C3×C4C2311yescharacteristic
56C23×C3×C4C2312yes—
57C23×C3×C4C2311yescharacteristic
58C22×#67—22no—
59C22×#67—22no—
60C22×#67—24no—
61C22×#67—24no—
62C22×#67D414yes—
63C23×Dic3C2311yescharacteristic
64C23×Dic3C2312yes—
65C23×Dic3C2311yescharacteristic
66C23×Dic3C2312yes—
67C23×Dic3C2311yescharacteristic
68C2×C3×C4⋊C4—22no—
69C2×C3×C4⋊C4—22no—
70C2×C3×C4⋊C4D414yescomplemented
71C2×C3×C22⋊C4—24no—
72C2×C3×C22⋊C4—22no—
73C2×C3×C22⋊C4—24no—
74C2×C3×C22⋊C4—22no—
75C2×C3×C22⋊C4—22no—
76C2×C3×C22⋊C4—42no—
77C2×#217—24no—
78C2×#217—22no—
79C2×#217—24no—
80C2×#217—42no—
81C2×#217—42no—
82C2×(C2×D3)⋊C4—24no—
83C2×(C2×D3)⋊C4—24no—
84C2×(C2×D3)⋊C4—22no—
85C2×(C2×D3)⋊C4—24no—
86C2×(C2×D3)⋊C4—22no—
87C2×(C2×D3)⋊C4—22no—
88C2×(C2×D3)⋊C4—22no—
89C2×(C2×D3)⋊C4—24no—
90C2×(C2×D3)⋊C4—42no—
91C2×(C2×D3)⋊C4—42no—
92C2×(C2×D3)⋊C4—42no—
93C2×C4⋊Dic3—22no—
94C2×C4⋊Dic3—24no—
95C2×Dic3⋊C4—24no—
96C2×Dic3⋊C4—22no—
97C2×Dic3⋊C4—24no—
98C2×Dic3⋊C4—24no—
99C2×Dic3⋊C4—24no—
100C2×C4×Dic3—24no—
101C2×C4×Dic3—24no—
102C2×C4×Dic3—24no—
103C2×C4×Dic3—24no—
104C2×C4×Dic3D414yes—
105C3×#95—24no—
106C3×#95—22no—
107C3⋊#95—24no—
108C3⋊#95—22no—
109C3⋊#95—24no—
110C3⋊#95—42no—
111C3⋊#95—42no—
112C3⋊#95—42no—
113C23×D4—31no—
114C22×C4⋊C4—31no—
115C22×C4⋊C4—32no—
116C22×C4⋊C4—31no—
117C22×C4⋊C4C2×D311yescharacteristic
118C22×C22⋊C4—31no—
119C22×C22⋊C4—32no—
120C22×C22⋊C4—32no—
121C22×C22⋊C4—32no—
122C22×C22⋊C4—31no—
123C22×C22⋊C4—31no—
124C22×C22⋊C4C2×D311yescharacteristic
125C22×C22⋊C4C2×D312yes—
126C22×C42—31no—
127C22×C42—32no—
128#397—24no—
129#397—64no—
130#390—64no—
131#390—68no—
132C4×C4⋊C4—64no—
133C2×#95—31no—
134C2×#95—32no—
135C2×#95—32no—
136C2×#95—32no—
137C2×#95—32no—
138C2×#95—32no—
139C2×#95C2×D311yescharacteristic
140C2×#95C2×D312yes—
141C24×C3—21no—
142C24×C3—21no—
143C24×C3—22no—
144C24×C3—21no—
145C24×C3—21no—
146C24×C3—22no—
147C24×C3—22no—
148C24×C3—22no—
149C24×C3—21no—
150C24×C3—21no—
151C24×C3C2×D412yes—
152C24×C3C2411yescharacteristic
153C23×D3—21no—
154C23×D3—21no—
155C23×D3—21no—
156C23×D3—22no—
157C23×D3—21no—
158C23×D3—22no—
159C23×D3—22no—
160C23×D3—21no—
161C23×D3—22no—
162C23×D3—21no—
163C23×D3C2×D412yes—
164C22×C3×C4—22no—
165C22×C3×C4—22no—
166C22×C3×C4—22no—
167C22×C3×C4—22no—
168C22×C3×C4—22no—
169C22×C3×C4—22no—
170C22×C3×C4—22no—
171C22×C3×C4—22no—
172C22×C3×C4—21no—
173C22×C3×C4—22no—
174C22×C3×C4—21no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—21no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4C2×D412yes—
185C22×C3×C4C2×D414yes—
186C22×C3×C4C2×D412yes—
187C22×C3×C4#4112yes—
188C2×#67—28no—
189C2×#67—216no—
190C2×#67—44no—
191C2×#67—44no—
192C2×#67—48no—
193C22×Dic3—22no—
194C22×Dic3—22no—
195C22×Dic3—22no—
196C22×Dic3—22no—
197C22×Dic3—22no—
198C22×Dic3—21no—
199C22×Dic3—22no—
200C22×Dic3—22no—
201C22×Dic3—22no—
202C22×Dic3—21no—
203C22×Dic3—21no—
204C22×Dic3—22no—
205C22×Dic3—21no—
206C22×Dic3—22no—
207C22×Dic3—22no—
208C22×Dic3—22no—
209C22×Dic3—22no—
210C22×Dic3—21no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3C2×D412yes—
216C22×Dic3C2×D412yes—
217C22×Dic3C2×D412yes—
218C22×Dic3#4114yes—
219C22×Dic3#4112yes—
220C22×Dic3#4114yes—
221C22×Dic3#4114yes—
222C3×C4⋊C4—28no—
223C3×C22⋊C4—48no—
224C3×C22⋊C4—44no—
225#217—48no—
226#217—44no—
227(C2×D3)⋊C4—48no—
228(C2×D3)⋊C4—44no—
229(C2×D3)⋊C4—48no—
230(C2×D3)⋊C4—44no—
231C4⋊Dic3—28no—
232Dic3⋊C4—48no—
233Dic3⋊C4—44no—
234C4×Dic3—28no—
235C4×Dic3—48no—
236C25—31no—
237C25C22×D311yescharacteristic
238C22×D4—34no—
239C22×D4—62no—
240C22×D4—62no—
241C22×D4—64no—
242C22×D4—64no—
243C23×C4—31no—
244C23×C4—32no—
245C23×C4—31no—
246C23×C4—31no—
247C23×C4—32no—
248C23×C4C22×D311yescharacteristic
249C23×C4C22×D312yes—
250C23×C4C22×D312yes—
251C23×C4C22×D311yescharacteristic
252C2×C4⋊C4—22no—
253C2×C4⋊C4—22no—
254C2×C4⋊C4—64no—
255C2×C4⋊C4—62no—
256C2×C4⋊C4—62no—
257C2×C4⋊C4—64no—
258C2×C4⋊C4—64no—
259C2×C4⋊C4—64no—
260C2×C4⋊C4—64no—
261C2×C4⋊C4#6714yescomplemented
262C2×C22⋊C4—24no—
263C2×C22⋊C4—22no—
264C2×C22⋊C4—22no—
265C2×C22⋊C4—24no—
266C2×C22⋊C4—22no—
267C2×C22⋊C4—42no—
268C2×C22⋊C4—62no—
269C2×C22⋊C4—64no—
270C2×C22⋊C4—64no—
271C2×C22⋊C4—64no—
272C2×C22⋊C4—62no—
273C2×C22⋊C4—64no—
274C2×C22⋊C4—64no—
275C2×C22⋊C4—62no—
276C2×C22⋊C4—62no—
277C2×C22⋊C4—64no—
278C2×C22⋊C4—62no—
279C2×C22⋊C4—122no—
280C2×C22⋊C4—122no—
281C2×C22⋊C4—122no—
282C2×C22⋊C4—122no—
283C2×C22⋊C4—122no—
284C2×C42—34no—
285C2×C42—64no—
286C2×C42—64no—
287C2×C42—64no—
288C2×C42—64no—
289#95—24no—
290#95—22no—
291#95—64no—
292#95—64no—
293#95—62no—
294#95—122no—
295#95—122no—
296#95—122no—
297C23×C3—22no—
298C23×C3—24no—
299C23×C3—22no—
300C23×C3—24no—
301C23×C3—22no—
302C23×C3—41no—
303C23×C3—41no—
304C23×C3—41no—
305C23×C3—41no—
306C23×C3—42no—
307C23×C3—42no—
308C23×C3—42no—
309C23×C3—41no—
310C23×C3—41no—
311C23×C3—42no—
312C23×C3—42no—
313C23×C3—41no—
314C23×C3—42no—
315C23×C3—42no—
316C23×C3—41no—
317C23×C3—42no—
318C23×C3—42no—
319C23×C3—42no—
320C23×C3C22×D411yescharacteristic
321C23×C3C22×D411yescharacteristic
322C23×C3C22×D411yescharacteristic
323C23×C3C2×#4111yescharacteristic
324C23×C3C2×#4111yescharacteristic
325C23×C3C2×#4112yes—
326C23×C3C2×#4112yes—
327C23×C3C2×#4112yes—
328C23×C3H(5,𝔽2)11yescharacteristic
329C23×C3H(5,𝔽2)12yes—
330C23×C32−1+411yescharacteristic
331C22×D3—22no—
332C22×D3—24no—
333C22×D3—22no—
334C22×D3—24no—
335C22×D3—22no—
336C22×D3—41no—
337C22×D3—41no—
338C22×D3—41no—
339C22×D3—41no—
340C22×D3—42no—
341C22×D3—42no—
342C22×D3—42no—
343C22×D3—41no—
344C22×D3—41no—
345C22×D3—42no—
346C22×D3—42no—
347C22×D3—41no—
348C22×D3—42no—
349C22×D3—42no—
350C22×D3—41no—
351C22×D3—42no—
352C22×D3—42no—
353C22×D3—42no—
354C2×C3×C4—22no—
355C2×C3×C4—22no—
356C2×C3×C4—24no—
357C2×C3×C4—24no—
358C2×C3×C4—24no—
359C2×C3×C4—24no—
360C2×C3×C4—24no—
361C2×C3×C4—42no—
362C2×C3×C4—42no—
363C2×C3×C4—42no—
364C2×C3×C4—42no—
365C2×C3×C4—41no—
366C2×C3×C4—42no—
367C2×C3×C4—41no—
368C2×C3×C4—42no—
369C2×C3×C4—41no—
370C2×C3×C4—42no—
371C2×C3×C4—42no—
372C2×C3×C4—42no—
373C2×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4#12114yes—
378#67—416no—
379C2×Dic3—22no—
380C2×Dic3—24no—
381C2×Dic3—22no—
382C2×Dic3—22no—
383C2×Dic3—24no—
384C2×Dic3—24no—
385C2×Dic3—42no—
386C2×Dic3—42no—
387C2×Dic3—42no—
388C2×Dic3—42no—
389C2×Dic3—42no—
390C2×Dic3—42no—
391C2×Dic3—41no—
392C2×Dic3—42no—
393C2×Dic3—41no—
394C2×Dic3—42no—
395C2×Dic3—41no—
396C2×Dic3—42no—
397C2×Dic3—42no—
398C2×Dic3—42no—
399C2×Dic3—42no—
400C2×Dic3—42no—
401C2×Dic3—42no—
402C2×Dic3—42no—
403C2×Dic3#12114yes—
404C2×Dic3#12314yes—
405C2×Dic3#12318yes—
406C2×Dic3#12414yes—
407C2×Dic3#12618yes—
408C24—21no—
409C24—21no—
410C24—21no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—21no—
415C24—22no—
416C24—21no—
417C24—21no—
418C24—32no—
419C24—61no—
420C24—61no—
421C24—61no—
422C24—62no—
423C24—62no—
424C24—62no—
425C24—61no—
426C24—62no—
427C24—61no—
428C24—61no—
429C24D3×D412yes—
430C24C23×D311yescharacteristic
431C2×D4—616no—
432C2×D4—68no—
433C2×D4—124no—
434C2×D4—124no—
435C2×D4—128no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—32no—
457C22×C4—32no—
458C22×C4—32no—
459C22×C4—34no—
460C22×C4—34no—
461C22×C4—32no—
462C22×C4—34no—
463C22×C4—62no—
464C22×C4—62no—
465C22×C4—61no—
466C22×C4—62no—
467C22×C4—62no—
468C22×C4—62no—
469C22×C4—62no—
470C22×C4—62no—
471C22×C4—62no—
472C22×C4—61no—
473C22×C4—62no—
474C22×C4—61no—
475C22×C4—61no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—61no—
485C22×C4D3×D412yes—
486C22×C4#23712yes—
487C22×C4C2×#6714yes—
488C22×C4C2×#6712yes—
489C4⋊C4—28no—
490C4⋊C4—68no—
491C4⋊C4—128no—
492C4⋊C4—124no—
493C22⋊C4—48no—
494C22⋊C4—44no—
495C22⋊C4—128no—
496C22⋊C4—128no—
497C22⋊C4—124no—
498C22⋊C4—128no—
499C22⋊C4—124no—
500C22⋊C4—124no—
501C42—68no—
502C42—128no—
503C22×C3—42no—
504C22×C3—44no—
505C22×C3—44no—
506C22×C3—42no—
507C22×C3—42no—
508C22×C3—81no—
509C22×C3—81no—
510C22×C3—81no—
511C22×C3—82no—
512C22×C3—82no—
513C22×C3—81no—
514C22×C3C2×#12111yescharacteristic
515C22×C3C2×#12111yescharacteristic
516C22×C3C2×#12311yescharacteristic
517C22×C3C2×#12312yes—
518C22×C3#52511yescharacteristic
519C22×C3C2×#12411yescharacteristic
520C22×C3C2×#12612yes—
521C22×C3#52912yes—
522C22×C3#53212yes—
523C22×C3#53511yescharacteristic
524C22×C3#53711yescharacteristic
525C22×C3#54012yes—
526C22×C3#54212yes—
527C22×C3D4211yescharacteristic
528C22×C3#54612yes—
529C22×C3#54711yescharacteristic
530C22×C3#54711yescharacteristic
531C22×C3#55012yes—
532C22×C3#55312yes—
533C22×C3#55511yescharacteristic
534C22×C3#55612yes—
535C22×C3#55912yes—
536C22×C3#55912yes—
537C2×D3—42no—
538C2×D3—44no—
539C2×D3—44no—
540C2×D3—42no—
541C2×D3—42no—
542C2×D3—81no—
543C2×D3—81no—
544C2×D3—81no—
545C2×D3—82no—
546C2×D3—82no—
547C2×D3—81no—
548C3×C4—24no—
549C3×C4—44no—
550C3×C4—82no—
551C3×C4—81no—
552Dic3—42no—
553Dic3—44no—
554Dic3—82no—
555Dic3—81no—
556Dic3#39718yescomplemented
557C23—24no—
558C23—24no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—42no—
563C23—41no—
564C23—41no—
565C23—42no—
566C23—42no—
567C23—41no—
568C23—41no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—41no—
575C23—41no—
576C23—42no—
577C23—42no—
578C23—41no—
579C23—41no—
580C23—64no—
581C23—64no—
582C23—62no—
583C23—62no—
584C23—62no—
585C23—122no—
586C23—121no—
587C23—121no—
588C23—122no—
589C23—122no—
590C23—121no—
591C23—121no—
592C23—122no—
593C23—122no—
594C23—122no—
595C23—122no—
596C23—122no—
597C23—121no—
598C23—121no—
599C23—122no—
600C23—122no—
601C23—121no—
602C23—121no—
603C23C2×D3×D411yescharacteristic
604C23C2×D3×D411yescharacteristic
605C23C2×#23711yescharacteristic
606C23#100411yescharacteristic
607C23D3×#4112yes—
608C23D3×#4112yes—
609C23D3×#4112yes—
610C23D3×#4111yescharacteristic
611C23#100912yes—
612C23#101011yescharacteristic
613C23C22×#6711yescharacteristic
614D4—1216no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—34no—
623C2×C4—38no—
624C2×C4—34no—
625C2×C4—38no—
626C2×C4—34no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—41no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—62no—
644C2×C4—64no—
645C2×C4—64no—
646C2×C4—62no—
647C2×C4—64no—
648C2×C4—62no—
649C2×C4—122no—
650C2×C4—122no—
651C2×C4—122no—
652C2×C4—122no—
653C2×C4—122no—
654C2×C4—122no—
655C2×C4—122no—
656C2×C4—122no—
657C2×C4—122no—
658C2×C4—122no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—122no—
662C2×C4—122no—
663C2×C4—121no—
664C2×C4—122no—
665C2×C4—122no—
666C2×C4—122no—
667C2×C4#93914yes—
668C2×C3—82no—
669C2×C3C2×#39711yescharacteristic
670C2×C3#244512yes—
671C2×C3#244712yes—
672C2×C3#251212yes—
673C2×C3#251312yes—
674C2×C3#253511yescharacteristic
675C2×C3#253711yescharacteristic
676C2×C3#254811yescharacteristic
677C2×C3#259211yescharacteristic
678C2×C3#262411yescharacteristic
679C2×C3#285411yescharacteristic
680D3—82no—
681C22—42no—
682C22—44no—
683C22—44no—
684C22—42no—
685C22—42no—
686C22—81no—
687C22—82no—
688C22—82no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—122no—
693C22—124no—
694C22—124no—
695C22—122no—
696C22—122no—
697C22—241no—
698C22—242no—
699C22—242no—
700C22—241no—
701C22—241no—
702C22—241no—
703C22D3×#12111yescharacteristic
704C22#560811yescharacteristic
705C22#561111yescharacteristic
706C22#561611yescharacteristic
707C22#564912yes—
708C22D3×#12312yes—
709C22D3×#12311yescharacteristic
710C22#565412yes—
711C22#565611yescharacteristic
712C22#566312yes—
713C22#566412yes—
714C22D3×#12411yescharacteristic
715C22#567411yescharacteristic
716C22#568112yes—
717C22#570212yes—
718C22D3×#12612yes—
719C22#570912yes—
720C22#571012yes—
721C22D4×#6711yescharacteristic
722C22C2×#93911yescharacteristic
723C22#582411yescharacteristic
724C22#583212yes—
725C22#583412yes—
726C4—24no—
727C4—38no—
728C4—44no—
729C4—81no—
730C4—82no—
731C4—124no—
732C4—122no—
733C4—241no—
734C4—242no—
735C3#1514711yescharacteristic, complemented, Sylow
736C2—82no—
737C2—242no—
738C2#7746812yes—
739C2#7749512yes—
740C2#7751311yescharacteristic
741C2#7752611yescharacteristic
742C2#7753911yescharacteristic
743C2D3×#39711yescharacteristic
744C2#8266711yescharacteristic
745C2#8284912yes—
746C2#8289111yescharacteristic
747C2#8297411yescharacteristic
748C2#8308412yes—
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC2×C3×#397C2
prime radicalC23×#67C22
hypercenterC2×#397D3
hypocenterC3#15147
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#397

Complements

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

NH ≅ G/Ntype
1. C2×C3×#397C2semidirect
2. C2×#4992C2semidirect
3. C2×Dic3×C4⋊C4C2semidirect
6. #71549C2semidirect
7. #71546C2semidirect
8. #69429C2semidirect
9. #69427C2semidirect
10. Dic3⋊#95C2semidirect
11. Dic3⋊#95C2semidirect
42. C2×#397D3semidirect
70. C2×C3×C4⋊C4D4semidirect
261. C2×C4⋊C4#67semidirect
556. Dic3#397semidirect
735. C3#15147semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#3972
C2×#49922
C2×Dic3×C4⋊C42
C2×#49572
#715492
#715462
#694292
#694272
Dic3⋊#952
#151473