Finite Group Databasebeta

← #10732327

Subgroups — #10732327

Order 768.

1490 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#391C211yesmaximal, characteristic
2C2×#5229C211yesmaximal, characteristic
3C2×#5229C211yesmaximal, characteristic
4C2×#4984C211yesmaximal, characteristic
5C2×#4928C211yesmaximal, characteristic
6C2×C4×Dic3⋊C4C211yesmaximal, characteristic
7#71563C211yesmaximal, characteristic
8#69423C212yesmaximal
9#69421C212yesmaximal
10#69421C212yesmaximal
11#69420C212yesmaximal
12#15193—31nomaximal, Sylow
13C23×C3×Q8C2211yescharacteristic
14C22×C3×C4⋊C4C2211yescharacteristic
15C22×C3×C42C2211yescharacteristic
16C22×C4⋊Dic3C2211yescharacteristic
17C22×C4⋊Dic3C2212yes—
18C22×C4⋊Dic3C2211yescharacteristic
19C22×Dic3⋊C4C2211yescharacteristic
20C22×Dic3⋊C4C2212yes—
21C22×Dic3⋊C4C2211yescharacteristic
22C22×C4×Dic3C2211yescharacteristic
23C22×C4×Dic3C2211yescharacteristic
24C3×#391—24no—
25C2×C3×#95C2212yes—
26C2×C3×#95C2212yes—
27#5229—24no—
28#5229—24no—
29C2×C3⋊#95C2212yes—
30C2×C3⋊#95C2212yes—
31C2×C3⋊#95C2212yes—
32C2×C3⋊#95C2212yes—
33C2×C3⋊#95C2211yescharacteristic
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2212yes—
36C2×C3⋊#95C2212yes—
37C2×C3⋊#95C2211yescharacteristic
38C2×C3⋊#95C2212yes—
39#4984—24no—
40C4×Dic3⋊C4—24no—
41#4928—24no—
42C2×#391—31no—
43C2×#391—31no—
44C2×#391D311yescharacteristic
45C2×#389—31no—
46C2×#389—31no—
47C2×C4×C4⋊C4—31no—
48#1445—32no—
49#1445—32no—
50#1445—32no—
51#1444—32no—
52C4⋊#95—31no—
53C22×C3×Q8—22no—
54C22×C3×Q8—22no—
55C22×C3×Q8—22no—
56C22×C3×Q8—22no—
57C22×C3×Q8—22no—
58C22×C3×Q8—22no—
59C22×C3×Q8Q814yes—
60C23×C3×C4C2312yes—
61C23×C3×C4C2312yes—
62C23×C3×C4C2311yescharacteristic
63C23×C3×C4C2311yescharacteristic
64C23×C3×C4C2311yescharacteristic
65C23×Dic3C2312yes—
66C23×Dic3C2311yescharacteristic
67C23×Dic3C2312yes—
68C23×Dic3C2311yescharacteristic
69C23×Dic3C2311yescharacteristic
70C23×Dic3C2311yescharacteristic
71C2×C3×C4⋊C4—22no—
72C2×C3×C4⋊C4—22no—
73C2×C3×C4⋊C4D414yes—
74C2×C3×C42—22no—
75C2×C3×C42—22no—
76C2×C3×C42—22no—
77C2×C4⋊Dic3—22no—
78C2×C4⋊Dic3—22no—
79C2×C4⋊Dic3—22no—
80C2×C4⋊Dic3—22no—
81C2×C4⋊Dic3—24no—
82C2×C4⋊Dic3—22no—
83C2×C4⋊Dic3—24no—
84C2×C4⋊Dic3—42no—
85C2×C4⋊Dic3D414yes—
86C2×Dic3⋊C4—22no—
87C2×Dic3⋊C4—22no—
88C2×Dic3⋊C4—22no—
89C2×Dic3⋊C4—22no—
90C2×Dic3⋊C4—22no—
91C2×Dic3⋊C4—24no—
92C2×Dic3⋊C4—24no—
93C2×Dic3⋊C4—42no—
94C2×Dic3⋊C4Q814yescomplemented
95C2×C4×Dic3—22no—
96C2×C4×Dic3—22no—
97C2×C4×Dic3—22no—
98C2×C4×Dic3—22no—
99C2×C4×Dic3—22no—
100C2×C4×Dic3D414yes—
101C3×#95—24no—
102C3×#95—24no—
103C3⋊#95—24no—
104C3⋊#95—24no—
105C3⋊#95—22no—
106C3⋊#95—22no—
107C3⋊#95—24no—
108C3⋊#95—24no—
109C3⋊#95—24no—
110C3⋊#95—24no—
111C3⋊#95—24no—
112C3⋊#95—42no—
113C23×Q8C2×D311yescharacteristic
114C22×C4⋊C4—31no—
115C22×C4⋊C4—31no—
116C22×C4⋊C4—31no—
117C22×C4⋊C4—31no—
118C22×C4⋊C4—32no—
119C22×C4⋊C4—32no—
120C22×C4⋊C4C2×D311yescharacteristic
121C22×C42—31no—
122C22×C42—31no—
123C22×C42C2×D311yescharacteristic
124#391—24no—
125#391—64no—
126#391—64no—
127#389—64no—
128#389—64no—
129C4×C4⋊C4—64no—
130C2×#95—32no—
131C2×#95—32no—
132C2×#95—32no—
133C2×#95—31no—
134C2×#95—31no—
135C2×#95—32no—
136C2×#95—32no—
137C2×#95—32no—
138C2×#95—32no—
139C2×#95—32no—
140C2×#95C2×D312yes—
141C2×#95C2×D312yes—
142C24×C3C2411yescharacteristic
143C2×C3×Q8—28no—
144C2×C3×Q8—28no—
145C2×C3×Q8—28no—
146C2×C3×Q8—44no—
147C2×C3×Q8—44no—
148C2×C3×Q8—44no—
149C2×C3×Q8—44no—
150C22×C3×C4—21no—
151C22×C3×C4—22no—
152C22×C3×C4—22no—
153C22×C3×C4—21no—
154C22×C3×C4—21no—
155C22×C3×C4—21no—
156C22×C3×C4—21no—
157C22×C3×C4—22no—
158C22×C3×C4—21no—
159C22×C3×C4—22no—
160C22×C3×C4—21no—
161C22×C3×C4—21no—
162C22×C3×C4—22no—
163C22×C3×C4—22no—
164C22×C3×C4—22no—
165C22×C3×C4—22no—
166C22×C3×C4—22no—
167C22×C3×C4—22no—
168C22×C3×C4—22no—
169C22×C3×C4—21no—
170C22×C3×C4—21no—
171C22×C3×C4—21no—
172C22×C3×C4—22no—
173C22×C3×C4—21no—
174C22×C3×C4C2×D412yes—
175C22×C3×C4C2×D412yes—
176C22×C3×C4C2×D414yes—
177C22×C3×C4C2×D412yes—
178C22×C3×C4C2×Q814yes—
179C22×C3×C4C2×Q812yes—
180C22×C3×C4C2×Q812yes—
181C22×C3×C4#4112yes—
182C22×C3×C4#4112yes—
183C22×C3×C4#4112yes—
184C22×C3×C4#4112yes—
185C22×Dic3—21no—
186C22×Dic3—21no—
187C22×Dic3—21no—
188C22×Dic3—21no—
189C22×Dic3—21no—
190C22×Dic3—21no—
191C22×Dic3—21no—
192C22×Dic3—21no—
193C22×Dic3—21no—
194C22×Dic3—21no—
195C22×Dic3—22no—
196C22×Dic3—21no—
197C22×Dic3—21no—
198C22×Dic3—21no—
199C22×Dic3—22no—
200C22×Dic3—21no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—21no—
204C22×Dic3—22no—
205C22×Dic3—21no—
206C22×Dic3—21no—
207C22×Dic3—21no—
208C22×Dic3—22no—
209C22×Dic3—21no—
210C22×Dic3—21no—
211C22×Dic3—21no—
212C22×Dic3—21no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3—22no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—22no—
220C22×Dic3C2×D412yes—
221C22×Dic3C2×D414yes—
222C22×Dic3C2×D412yes—
223C22×Dic3C2×Q812yes—
224C22×Dic3C2×Q812yes—
225C22×Dic3#4112yes—
226C22×Dic3#4112yes—
227C3×C4⋊C4—28no—
228C3×C42—44no—
229C4⋊Dic3—28no—
230C4⋊Dic3—48no—
231C4⋊Dic3—44no—
232Dic3⋊C4—28no—
233Dic3⋊C4—28no—
234Dic3⋊C4—48no—
235C4×Dic3—28no—
236C4×Dic3—44no—
237C22×Q8—22no—
238C22×Q8—22no—
239C22×Q8—22no—
240C22×Q8—22no—
241C22×Q8—22no—
242C22×Q8—22no—
243C22×Q8Dic614yes—
244C23×C4—31no—
245C23×C4—31no—
246C23×C4—32no—
247C23×C4—31no—
248C23×C4—31no—
249C23×C4—32no—
250C23×C4C22×D312yes—
251C23×C4C22×D311yescharacteristic
252C23×C4C22×D311yescharacteristic
253C23×C4C22×D312yes—
254C23×C4C22×D311yescharacteristic
255C2×C4⋊C4—22no—
256C2×C4⋊C4—22no—
257C2×C4⋊C4—34no—
258C2×C4⋊C4—34no—
259C2×C4⋊C4—62no—
260C2×C4⋊C4—62no—
261C2×C4⋊C4—62no—
262C2×C4⋊C4—62no—
263C2×C4⋊C4—62no—
264C2×C4⋊C4—62no—
265C2×C4⋊C4—62no—
266C2×C4⋊C4—64no—
267C2×C4⋊C4—64no—
268C2×C4⋊C4—62no—
269C2×C4⋊C4—62no—
270C2×C4⋊C4—64no—
271C2×C4⋊C4—64no—
272C2×C4⋊C4—62no—
273C2×C4⋊C4—122no—
274C2×C4⋊C4—122no—
275C2×C4⋊C4#6714yes—
276C2×C42—22no—
277C2×C42—22no—
278C2×C42—22no—
279C2×C42—34no—
280C2×C42—62no—
281C2×C42—62no—
282C2×C42—62no—
283C2×C42—62no—
284C2×C42—62no—
285#95—24no—
286#95—24no—
287#95—64no—
288#95—62no—
289#95—62no—
290#95—64no—
291#95—64no—
292#95—64no—
293#95—64no—
294#95—64no—
295#95—64no—
296#95—122no—
297C23×C3C22×D411yescharacteristic
298C23×C3C22×D411yescharacteristic
299C23×C3C22×D411yescharacteristic
300C23×C3C22×Q811yescharacteristic
301C23×C3C22×Q811yescharacteristic
302C23×C3C2×#4111yescharacteristic
303C23×C3C2×#4111yescharacteristic
304C23×C3C2×#4111yescharacteristic
305C23×C3C2×#4111yescharacteristic
306C23×C3C2×#4111yescharacteristic
307C23×C3C2×#4111yescharacteristic
308C23×C3H(5,𝔽2)11yescharacteristic
309C23×C32−1+411yescharacteristic
310C23×C32−1+411yescharacteristic
311C23×C32−1+411yescharacteristic
312C3×Q8—416no—
313C2×C3×C4—22no—
314C2×C3×C4—24no—
315C2×C3×C4—24no—
316C2×C3×C4—24no—
317C2×C3×C4—24no—
318C2×C3×C4—22no—
319C2×C3×C4—22no—
320C2×C3×C4—24no—
321C2×C3×C4—24no—
322C2×C3×C4—22no—
323C2×C3×C4—22no—
324C2×C3×C4—22no—
325C2×C3×C4—42no—
326C2×C3×C4—42no—
327C2×C3×C4—42no—
328C2×C3×C4—42no—
329C2×C3×C4—41no—
330C2×C3×C4—41no—
331C2×C3×C4—42no—
332C2×C3×C4—41no—
333C2×C3×C4—41no—
334C2×C3×C4—42no—
335C2×C3×C4—41no—
336C2×C3×C4—41no—
337C2×C3×C4—41no—
338C2×C3×C4—41no—
339C2×C3×C4—42no—
340C2×C3×C4—42no—
341C2×C3×C4C22⋊Q814yes—
342C2×C3×C4C22⋊Q814yes—
343C2×C3×C4C22⋊Q814yes—
344C2×C3×C4#12314yes—
345C2×C3×C4#12314yes—
346C2×C3×C4#12314yes—
347C2×C3×C4#12714yes—
348C2×Dic3—22no—
349C2×Dic3—22no—
350C2×Dic3—22no—
351C2×Dic3—22no—
352C2×Dic3—22no—
353C2×Dic3—22no—
354C2×Dic3—22no—
355C2×Dic3—22no—
356C2×Dic3—24no—
357C2×Dic3—22no—
358C2×Dic3—22no—
359C2×Dic3—22no—
360C2×Dic3—24no—
361C2×Dic3—22no—
362C2×Dic3—24no—
363C2×Dic3—22no—
364C2×Dic3—22no—
365C2×Dic3—22no—
366C2×Dic3—42no—
367C2×Dic3—41no—
368C2×Dic3—41no—
369C2×Dic3—41no—
370C2×Dic3—41no—
371C2×Dic3—41no—
372C2×Dic3—41no—
373C2×Dic3—41no—
374C2×Dic3—41no—
375C2×Dic3—42no—
376C2×Dic3—41no—
377C2×Dic3—41no—
378C2×Dic3—41no—
379C2×Dic3—41no—
380C2×Dic3—42no—
381C2×Dic3—42no—
382C2×Dic3—42no—
383C2×Dic3—42no—
384C2×Dic3—42no—
385C2×Dic3—42no—
386C2×Dic3—42no—
387C2×Dic3—42no—
388C2×Dic3—42no—
389C2×Dic3C22⋊Q814yes—
390C24C23×D311yescharacteristic
391C2×Q8—28no—
392C2×Q8—28no—
393C2×Q8—28no—
394C2×Q8—44no—
395C2×Q8—44no—
396C2×Q8—44no—
397C2×Q8—44no—
398C22×C4—22no—
399C22×C4—21no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—21no—
403C22×C4—21no—
404C22×C4—21no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—22no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—22no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—22no—
422C22×C4—32no—
423C22×C4—32no—
424C22×C4—32no—
425C22×C4—32no—
426C22×C4—34no—
427C22×C4—32no—
428C22×C4—32no—
429C22×C4—61no—
430C22×C4—61no—
431C22×C4—61no—
432C22×C4—61no—
433C22×C4—61no—
434C22×C4—62no—
435C22×C4—61no—
436C22×C4—61no—
437C22×C4—61no—
438C22×C4—61no—
439C22×C4—61no—
440C22×C4—62no—
441C22×C4—61no—
442C22×C4—62no—
443C22×C4—61no—
444C22×C4—61no—
445C22×C4—61no—
446C22×C4—61no—
447C22×C4—62no—
448C22×C4—62no—
449C22×C4—61no—
450C22×C4—61no—
451C22×C4—62no—
452C22×C4—61no—
453C22×C4—61no—
454C22×C4—61no—
455C22×C4—61no—
456C22×C4—61no—
457C22×C4—62no—
458C22×C4—62no—
459C22×C4—62no—
460C22×C4—62no—
461C22×C4—62no—
462C22×C4—62no—
463C22×C4—62no—
464C22×C4C2×Dic614yes—
465C22×C4C2×Dic612yes—
466C22×C4#23512yes—
467C22×C4D3×D412yes—
468C22×C4D3×D412yes—
469C22×C4#23712yes—
470C22×C4#23712yes—
471C22×C4D3×Q812yes—
472C22×C4#23912yes—
473C22×C4C2×#6714yes—
474C22×C4C2×#6712yes—
475C4⋊C4—28no—
476C4⋊C4—68no—
477C4⋊C4—68no—
478C4⋊C4—68no—
479C4⋊C4—128no—
480C4⋊C4—128no—
481C4⋊C4—124no—
482C42—44no—
483C42—68no—
484C42—124no—
485C22×C3C2×C22⋊Q811yescharacteristic
486C22×C3C2×C22⋊Q811yescharacteristic
487C22×C3C2×C22⋊Q811yescharacteristic
488C22×C3C2×C22⋊Q811yescharacteristic
489C22×C3C2×#12311yescharacteristic
490C22×C3C2×#12311yescharacteristic
491C22×C3C2×#12311yescharacteristic
492C22×C3#52511yescharacteristic
493C22×C3#52911yescharacteristic
494C22×C3#52911yescharacteristic
495C22×C3C2×#12711yescharacteristic
496C22×C3#53311yescharacteristic
497C22×C3#53311yescharacteristic
498C22×C3#53611yescharacteristic
499C22×C3#53711yescharacteristic
500C22×C3#54111yescharacteristic
501C22×C3#54111yescharacteristic
502C22×C3#54211yescharacteristic
503C22×C3#54211yescharacteristic
504C22×C3#54611yescharacteristic
505C22×C3#54611yescharacteristic
506C22×C3#54711yescharacteristic
507C22×C3#54711yescharacteristic
508C22×C3#54811yescharacteristic
509C22×C3#54811yescharacteristic
510C22×C3D4×Q811yescharacteristic
511C22×C3D4×Q811yescharacteristic
512C22×C3#55611yescharacteristic
513C22×C3#55611yescharacteristic
514C22×C3#55711yescharacteristic
515C22×C3#55711yescharacteristic
516C22×C3#55711yescharacteristic
517C22×C3#55711yescharacteristic
518C22×C3Q8211yescharacteristic
519C22×C3#55911yescharacteristic
520C3×C4—44no—
521C3×C4—44no—
522C3×C4—42no—
523C3×C4—42no—
524C3×C4#39918yes—
525Dic3—24no—
526Dic3—42no—
527Dic3—44no—
528Dic3—42no—
529Dic3—42no—
530Dic3—82no—
531C23C22×Dic611yescharacteristic
532C23C2×#23511yescharacteristic
533C23C2×D3×D411yescharacteristic
534C23C2×D3×D411yescharacteristic
535C23C2×#23711yescharacteristic
536C23C2×#23711yescharacteristic
537C23C2×D3×Q811yescharacteristic
538C23C2×#23911yescharacteristic
539C23#100711yescharacteristic
540C23#100711yescharacteristic
541C23D3×#4111yescharacteristic
542C23D3×#4111yescharacteristic
543C23#100911yescharacteristic
544C23#101011yescharacteristic
545C23C22×#6711yescharacteristic
546Q8—416no—
547C2×C4—22no—
548C2×C4—24no—
549C2×C4—24no—
550C2×C4—24no—
551C2×C4—24no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—24no—
555C2×C4—24no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—34no—
560C2×C4—41no—
561C2×C4—42no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—42no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—62no—
577C2×C4—62no—
578C2×C4—62no—
579C2×C4—62no—
580C2×C4—62no—
581C2×C4—62no—
582C2×C4—62no—
583C2×C4—62no—
584C2×C4—62no—
585C2×C4—64no—
586C2×C4—62no—
587C2×C4—62no—
588C2×C4—62no—
589C2×C4—62no—
590C2×C4—62no—
591C2×C4—62no—
592C2×C4—64no—
593C2×C4—64no—
594C2×C4—122no—
595C2×C4—121no—
596C2×C4—121no—
597C2×C4—122no—
598C2×C4—121no—
599C2×C4—121no—
600C2×C4—121no—
601C2×C4—121no—
602C2×C4—122no—
603C2×C4—121no—
604C2×C4—122no—
605C2×C4—121no—
606C2×C4—121no—
607C2×C4—121no—
608C2×C4—121no—
609C2×C4—121no—
610C2×C4—122no—
611C2×C4—122no—
612C2×C4—122no—
613C2×C4—122no—
614C2×C4—122no—
615C2×C4—122no—
616C2×C4—122no—
617C2×C4#87814yes—
618C2×C4#87814yes—
619C2×C4#88314yes—
620C2×C4#88314yes—
621C2×C4#92414yes—
622C2×C4#93514yes—
623C2×C4#94014yes—
624C2×C3C2×#39911yescharacteristic
625C2×C3#244611yescharacteristic
626C2×C3#244611yescharacteristic
627C2×C3#244711yescharacteristic
628C2×C3#244711yescharacteristic
629C2×C3#245111yescharacteristic
630C2×C3#245111yescharacteristic
631C2×C3#245311yescharacteristic
632C2×C3#245311yescharacteristic
633C2×C3#254011yescharacteristic
634C2×C3#254211yescharacteristic
635C2×C3#258111yescharacteristic
636C2×C3#258211yescharacteristic
637C2×C3#262511yescharacteristic
638C2×C3#285511yescharacteristic
639C22C2×#87811yescharacteristic
640C22C2×#87811yescharacteristic
641C22C2×#88311yescharacteristic
642C22C2×#88311yescharacteristic
643C22Q8×Dic611yescharacteristic
644C22#556911yescharacteristic
645C22#556911yescharacteristic
646C22#557011yescharacteristic
647C22#557811yescharacteristic
648C22#558011yescharacteristic
649C22#558211yescharacteristic
650C22#558311yescharacteristic
651C22D3×C22⋊Q811yescharacteristic
652C22#562711yescharacteristic
653C22#562811yescharacteristic
654C22#562911yescharacteristic
655C22#563011yescharacteristic
656C22#563111yescharacteristic
657C22#563211yescharacteristic
658C22#563311yescharacteristic
659C22#567111yescharacteristic
660C22#568011yescharacteristic
661C22#568111yescharacteristic
662C22#568211yescharacteristic
663C22#572111yescharacteristic
664C22#572811yescharacteristic
665C22#573111yescharacteristic
666C22#573211yescharacteristic
667C22C2×#92411yescharacteristic
668C22C2×#93511yescharacteristic
669C22C2×#94011yescharacteristic
670C22Q8×#6711yescharacteristic
671C22#581711yescharacteristic
672C22#582411yescharacteristic
673C22#582911yescharacteristic
674C4—44no—
675C4—42no—
676C4—42no—
677C4—44no—
678C4—64no—
679C4—122no—
680C4—122no—
681C4—122no—
682C4—124no—
683C4—242no—
684C4#494918yes—
685C3#1519311yescharacteristic, complemented, Sylow
686C2#7650211yescharacteristic
687C2#7650511yescharacteristic
688C2#7650811yescharacteristic
689C2#7651111yescharacteristic
690C2#7654711yescharacteristic
691C2#7654811yescharacteristic
692C2#7664211yescharacteristic
693C2#7666311yescharacteristic
694C2C2×#494911yescharacteristic
695C2#8247011yescharacteristic
696C2#8247111yescharacteristic
697C2#8277911yescharacteristic
698C2#8278011yescharacteristic
699C2#8296211yescharacteristic
700C2#8323411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, prime radical, cosocleC24×C3C24
FittingC2×C3×#391C2
hypercenterC2×#391D3
hypocenterC3#15193
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#391

Complements

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

NH ≅ G/Ntype
94. C2×Dic3⋊C4Q8semidirect
685. C3#15193semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#3912
C2×#52292
C2×#49842
C2×#49282
C2×C4×Dic3⋊C42
#715632
#694232
#694212
#694202
#151933