Finite Group Databasebeta

← #11895654

Subgroups — #11895654

Order 1152.

757 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5569C211yesmaximal, characteristic, complemented
2#10593939C211yesmaximal, characteristic
3C4×#3755C211yesmaximal, characteristic, complemented
4C3×#5028C211yesmaximal, characteristic, complemented
5#10591617C211yesmaximal, characteristic
6#10591607C211yesmaximal, characteristic, complemented
7Dic3×#216C211yesmaximal, characteristic, complemented
8Dic3×#215C211yesmaximal, characteristic, complemented
9#10590548C211yesmaximal, characteristic
10#10590537C211yesmaximal, characteristic, complemented
11#10590486C211yesmaximal, characteristic, complemented
12#10590469C211yesmaximal, characteristic, complemented
13#10590308C211yesmaximal, characteristic, complemented
14#10590278C211yesmaximal, characteristic, complemented
15#10590250C211yesmaximal, characteristic, complemented
16#83697—31nomaximal
17#80581—31nomaximal
18C32×C4×Q8C2211yescharacteristic
19C2×#3755C2211yescharacteristic
20C4×C4⋊(C3⋊D3)C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C2×C3×#215C2211yescharacteristic
25C3×#890—21no—
26C3×#890C2211yescharacteristic
27C3×#888—21no—
28C3×#888C2211yescharacteristic
29C3×#875C2211yescharacteristic
30C3×#870—21no—
31C3×#870C2211yescharacteristic
32C3×C4×Dic6—21no—
33C3×C4×Dic6C2211yescharacteristic
34#63911C2211yescharacteristic
35#63907—21no—
36Dic3×D12C2211yescharacteristic
37#63890—21no—
38#63881—21no—
39#63864C2211yescharacteristic
40#63853—21no—
41Dic3×Dic6C2211yescharacteristic
42#63662C2211yescharacteristic
43#63636C2211yescharacteristic
44#63635C2211yescharacteristic
45C4×C3⋊(C3⋊C8)C2211yescharacteristic
46C3×#810C2211yescharacteristic
47C3×#809C2211yescharacteristic
48C3×C4⋊(C3⋊C8)C2211yescharacteristic
49#63575C2211yescharacteristic
50#63573C2211yescharacteristic
51Dic3⋊(C3⋊C8)C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63565C2211yescharacteristic
54#63565C2211yescharacteristic
55#63564C2211yescharacteristic
56#63564C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#557—31no—
62#5681—31no—
63#5585—31no—
64#5569D311yescharacteristic, complemented
65C3×#464—31no—
66#5185—31no—
67Dic3×Q16—31no—
68#5163—31no—
69Dic3×SD16—31no—
70#5094—31no—
71#5088—31no—
72#5068—31no—
73#5068—31no—
74#5066—31no—
75#5066—31no—
76#5056—31no—
77C4×#216—31no—
78#5028—31no—
79#5028D311yescharacteristic, complemented
80#5027—31no—
81C4×#215—31no—
82C4×#215—31no—
83C4×#215—31no—
84C4×#215—61no—
85Q8×C3⋊C8—31no—
86#4847—31no—
87#4830—31no—
88#4800—31no—
89#4791—31no—
90#4766—31no—
91#4760—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×Dic6—21no—
97C2×C3×Dic6D411yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#626—21no—
100C2×#626—21no—
101C2×D3×Dic3—21no—
102C32×C4⋊C4—21no—
103C32×C4⋊C4C2311yescharacteristic
104C32×C42—21no—
105C32×C42C2311yescharacteristic
106#3755—22no—
107#3752—21no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C2×C3⋊(C3⋊C8)C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C3×#216—22no—
112C3×#215—22no—
113C3×(C2×D3)⋊C4—21no—
114C3×(C2×D3)⋊C4—21no—
115C3×C4⋊Dic3—21no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3D411yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4D411yescharacteristic
126C3×Dic3⋊C4D411yescharacteristic
127C3×C4×Dic3—21no—
128C3×C4×Dic3—21no—
129C3×C4×Dic3C2311yescharacteristic
130C3×C4×Dic3C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133Dic3⋊Dic3—21no—
134#3722—21no—
135#3722—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138#3365—91noSylow
139C2×C3×Q16—31no—
140C2×C3×SD16—31no—
141C3×C4⋊Q8—31no—
142C3×C4⋊Q8—61no—
143C3×#125—31no—
144C3×#125—31no—
145C3×#125—61no—
146C3×#125—61no—
147C3×#124—31no—
148C3×C4×Q8—21no—
149C3×C4×Q8—31no—
150C3×C4×Q8—31no—
151C3×C4×Q8—31no—
152C3×C4×Q8—61no—
153C3×C4×Q8C2×D311yescharacteristic
154C3×C4×Q8C2×D311yescharacteristic
155#947—31no—
156#947—61no—
157Q8×Dic3—31no—
158Q8×Dic3C2×D311yescharacteristic
159Q8×Dic3C2×D311yescharacteristic
160C2×#216C2×D311yescharacteristic
161C2×#215—31no—
162C2×#215—31no—
163C2×#215—61no—
164C2×#215C2×D311yescharacteristic
165#940—31no—
166D4×Dic3—31no—
167#894—61no—
168#894—61no—
169#893—61no—
170#890—21no—
171#890C2×D311yescharacteristic
172#888—21no—
173#888C2×D311yescharacteristic
174#886—61no—
175#885—61no—
176#883—61no—
177#67⋊C4—61no—
178#875—31no—
179#875C2×D311yescharacteristic
180#874—31no—
181C4×D12—31no—
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—61no—
185#870—21no—
186#870C2×D311yescharacteristic
187C4×Dic6—21no—
188C4×Dic6—31no—
189C4×Dic6C2×D311yescharacteristic
190C3×C4⋊C8—31no—
191C3×#103—31no—
192C3×#102—31no—
193#835—31no—
194#835—31no—
195#835—31no—
196#835—31no—
197#835—61no—
198#832—31no—
199#832—31no—
200#821—31no—
201#821—31no—
202#818—31no—
203#817—31no—
204Dic3⋊C8—31no—
205Dic3⋊C8—31no—
206C8×Dic3—31no—
207C8×Dic3—31no—
208#810—31no—
209#810—31no—
210#810C2×D311yescharacteristic
211#809—31no—
212#809—31no—
213#809—31no—
214#809—31no—
215#809—31no—
216#809—31no—
217#809—61no—
218#809C2×D311yescharacteristic
219#808—31no—
220#808—31no—
221#808—31no—
222#808—61no—
223#807—31no—
224C4⋊(C3⋊C8)—31no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)C2×D311yescharacteristic
227C4×C3⋊C8—31no—
228C4×C3⋊C8—31no—
229C4×C3⋊C8—31no—
230C4×C3⋊C8—31no—
231C4×C3⋊C8—61no—
232C22×C3⋊D3—21no—
233C22×C3×D3—21no—
234C32×Q8—21no—
235C32×Q8#4112yes—
236C2×C32×C4—21no—
237C2×C32×C4—21no—
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C4⋊(C3⋊D3)—21no—
243C4⋊(C3⋊D3)—21no—
244C4×C3⋊D3—81no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C3×D12—21no—
253C3×D12—21no—
254C3×Dic6—22no—
255C3×Dic6—21no—
256C3×Dic6—21no—
257C3×Dic6—42no—
258#626—42no—
259#626—81no—
260D3×Dic3—81no—
261C3⋊(C3⋊C8)—21no—
262C3⋊(C3⋊C8)—21no—
263C3×C3⋊C8—21no—
264C3×C3⋊C8—21no—
265#559—91no—
266#557—31no—
267#488—91no—
268#488—91no—
269#486—91no—
270#478—91no—
271#478—91no—
272#475—91no—
273#464—31no—
274#464—91no—
275#460—91no—
276C8×Q8—91no—
277C4×Q16—91no—
278C4×SD16—91no—
279C4×SD16—91no—
280C2×C3×Q8—21no—
281C2×C3×Q8—31no—
282C2×C3×Q8—31no—
283C2×C3×Q8—61no—
284C2×C3×Q8C22×D311yescharacteristic
285C2×C3×Q8C22×D311yescharacteristic
286C2×C3×D4—31no—
287C2×#67—61no—
288C2×#67—61no—
289C22×Dic3—61no—
290C2×D12—31no—
291C2×D12—31no—
292C2×D12—61no—
293C2×D12—61no—
294C2×D12—61no—
295C2×D12C22×D311yescharacteristic
296C2×C4×D3—61no—
297C2×C4×D3—61no—
298C2×C4×D3—61no—
299C2×C4×D3—121no—
300C2×Dic6—21no—
301C2×Dic6#6711yescharacteristic
302C2×Dic6C22×D311yescharacteristic
303C3×Q16—62no—
304C3×SD16—62no—
305C2×C3×C8—31no—
306C2×C3×C8—31no—
307C3×C4⋊C4—21no—
308C3×C4⋊C4—21no—
309C3×C4⋊C4—21no—
310C3×C4⋊C4—31no—
311C3×C4⋊C4—31no—
312C3×C4⋊C4—31no—
313C3×C4⋊C4—31no—
314C3×C4⋊C4—31no—
315C3×C4⋊C4—41no—
316C3×C4⋊C4—61no—
317C3×C4⋊C4—61no—
318C3×C4⋊C4—61no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4C22×D311yescharacteristic
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C22⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C42—21no—
328C3×C42—21no—
329C3×C42—21no—
330C3×C42—31no—
331C3×C42—31no—
332C3×C42—41no—
333C3×C42—61no—
334C3×C42—61no—
335C3×C42C22×D311yescharacteristic
336C3×C42C22×D311yescharacteristic
337#217—61no—
338#216—22no—
339#215—22no—
340#215—64no—
341#215—62no—
342#215—62no—
343(C2×D3)⋊C4—21no—
344(C2×D3)⋊C4—21no—
345(C2×D3)⋊C4—61no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—121no—
353C4⋊Dic3—21no—
354C4⋊Dic3—21no—
355C4⋊Dic3—21no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3#6711yescharacteristic
361C4⋊Dic3C22×D311yescharacteristic
362C4⋊Dic3C22×D311yescharacteristic
363Dic3⋊C4—21no—
364Dic3⋊C4—21no—
365Dic3⋊C4—21no—
366Dic3⋊C4—21no—
367Dic3⋊C4—61no—
368Dic3⋊C4#6711yescharacteristic
369Dic3⋊C4#6711yescharacteristic
370C4×Dic3—21no—
371C4×Dic3—21no—
372C4×Dic3—61no—
373C4×Dic3—61no—
374C4×Dic3C22×D311yescharacteristic
375C4×Dic3C22×D311yescharacteristic
376C2×C3⋊C8—31no—
377C2×C3⋊C8—31no—
378C2×C3⋊C8—31no—
379C2×C3⋊C8—31no—
380C2×C3⋊C8—61no—
381C2×C3⋊C8—61no—
382C2×C3⋊C8C22×D311yescharacteristic
383C2×C3⋊C8C22×D311yescharacteristic
384C22×C32C22×D411yescharacteristic
385C2×C3⋊D3—41no—
386C2×C3⋊D3—41no—
387C2×C3⋊D3—41no—
388C2×C3×D3—41no—
389C2×C3×D3—41no—
390C2×C3×D3—41no—
391C32×C4—21no—
392C32×C4—22no—
393C32×C4—21no—
394C32×C4—41no—
395C32×C4C2×#4111yescharacteristic
396C32×C42−1+411yescharacteristic
397C3⋊Dic3—41no—
398C3×Dic3—21no—
399C3×Dic3—21no—
400C3×Dic3—21no—
401C3×Dic3—41no—
402C3×Dic3—41no—
403C3×Dic3—41no—
404C3×Dic3#13512yes—
405C2×Q16—31no—
406C2×SD16—31no—
407C2×SD16—91no—
408C4⋊Q8—31no—
409C4⋊Q8—61no—
410#127—91no—
411#125—31no—
412#125—31no—
413#125—61no—
414#125—61no—
415#124—31no—
416#124—91no—
417#124—181no—
418#123—181no—
419#123—181no—
420C4×Q8—31no—
421C4×Q8—31no—
422C4×Q8—31no—
423C4×Q8—61no—
424C4×Q8—91no—
425C4×Q8D3211yescharacteristic
426C4×D4—91no—
427C4×D4—91no—
428C4×D4—181no—
429#107—91no—
430#106—91no—
431#106—91no—
432C4⋊C8—31no—
433C4⋊C8—91no—
434C4⋊C8—91no—
435#103—31no—
436#103—91no—
437#103—91no—
438#103—91no—
439#102—31no—
440#102—91no—
441#102—91no—
442#102—91no—
443#102—91no—
444#102—91no—
445C4×C8—91no—
446C4×C8—91no—
447C4×C8—91no—
448C23×C3—61no—
449C22×D3—21no—
450C22×D3—61no—
451C22×D3—61no—
452C22×D3—121no—
453C3×Q8—21no—
454C3×Q8—21no—
455C3×Q8—22no—
456C3×Q8—41no—
457C3×Q8—62no—
458C3×Q8—61no—
459C3×Q8—61no—
460C3×Q8—122no—
461C3×Q8#23712yes—
462C3×Q8#23912yes—
463C3×D4—61no—
464C3×D4—61no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—21no—
469C2×C3×C4—21no—
470C2×C3×C4—21no—
471C2×C3×C4—21no—
472C2×C3×C4—31no—
473C2×C3×C4—31no—
474C2×C3×C4—31no—
475C2×C3×C4—31no—
476C2×C3×C4—41no—
477C2×C3×C4—41no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4—61no—
481C2×C3×C4D3×D411yescharacteristic
482C2×C3×C4D3×D411yescharacteristic
483C2×C3×C4C2×#6711yescharacteristic
484C2×C3×C4C2×#6711yescharacteristic
485C2×C3×C4C23×D311yescharacteristic
486C2×C3×C4C23×D311yescharacteristic
487#67—122no—
488#67—241no—
489C2×Dic3—21no—
490C2×Dic3—21no—
491C2×Dic3—21no—
492C2×Dic3—61no—
493C2×Dic3—61no—
494C2×Dic3—121no—
495C2×Dic3—241no—
496C2×Dic3C2×#6711yescharacteristic
497C2×Dic3C2×#6711yescharacteristic
498C2×Dic3C2×#6711yescharacteristic
499C2×Dic3C2×#6711yescharacteristic
500D12—21no—
501D12—21no—
502D12—62no—
503D12—61no—
504D12—61no—
505D12—61no—
506D12—61no—
507D12—121no—
508D12—122no—
509D12—241no—
510C4×D3—241no—
511C4×D3—241no—
512C4×D3—241no—
513C4×D3—242no—
514Dic6—22no—
515Dic6—21no—
516Dic6—21no—
517Dic6—42no—
518C3×C8—61no—
519C3×C8—61no—
520C3⋊C8—21no—
521C3⋊C8—21no—
522C3⋊C8—62no—
523C3⋊C8—61no—
524C3⋊C8—61no—
525C3⋊C8—61no—
526C3⋊C8—61no—
527C3⋊C8—121no—
528C2×C32#54811yescharacteristic
529C2×C32C2×#13511yescharacteristic
530C2×C32#57711yescharacteristic
531C3⋊D3—81no—
532C3×D3—81no—
533C2×Q8—31no—
534C2×Q8—31no—
535C2×Q8—61no—
536C2×Q8C2×D3211yescharacteristic
537C2×D4—31no—
538C2×D4—91no—
539C2×D4—181no—
540C2×D4—181no—
541C22×C4—181no—
542C22×C4—181no—
543Q16—62no—
544SD16—62no—
545SD16—182no—
546C2×C8—31no—
547C2×C8—31no—
548C2×C8—91no—
549C2×C8—91no—
550C4⋊C4—21no—
551C4⋊C4—31no—
552C4⋊C4—31no—
553C4⋊C4—31no—
554C4⋊C4—31no—
555C4⋊C4—31no—
556C4⋊C4—61no—
557C4⋊C4—61no—
558C4⋊C4—61no—
559C4⋊C4—61no—
560C4⋊C4—61no—
561C4⋊C4—61no—
562C4⋊C4—61no—
563C4⋊C4—91no—
564C4⋊C4—181no—
565C4⋊C4C2×D3211yescharacteristic
566C22⋊C4—61no—
567C22⋊C4—61no—
568C22⋊C4—181no—
569C22⋊C4—181no—
570C22⋊C4—181no—
571C22⋊C4—181no—
572C42—21no—
573C42—31no—
574C42—31no—
575C42—61no—
576C42—61no—
577C42—181no—
578C42C2×D3211yescharacteristic
579C22×C3—21no—
580C22×C3—121no—
581C22×C3—121no—
582C22×C3—121no—
583C22×C3C2×D3×D411yescharacteristic
584C22×C3C22×#6711yescharacteristic
585C2×D3—41no—
586C2×D3—41no—
587C2×D3—41no—
588C2×D3—122no—
589C2×D3—121no—
590C2×D3—121no—
591C2×D3—121no—
592C2×D3—121no—
593C2×D3—121no—
594C2×D3—121no—
595C2×D3—241no—
596C2×D3—241no—
597C3×C4—22no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—22no—
601C3×C4—21no—
602C3×C4—21no—
603C3×C4—22no—
604C3×C4—21no—
605C3×C4—21no—
606C3×C4—32no—
607C3×C4—41no—
608C3×C4—42no—
609C3×C4—41no—
610C3×C4—41no—
611C3×C4—61no—
612C3×C4—61no—
613C3×C4—61no—
614C3×C4—81no—
615C3×C4—121no—
616C3×C4—121no—
617C3×C4—121no—
618C3×C4C2×#23711yescharacteristic
619C3×C4C2×#23911yescharacteristic
620C3×C4#100711yescharacteristic
621C3×C4#101011yescharacteristic
622Dic3—21no—
623Dic3—21no—
624Dic3—21no—
625Dic3—41no—
626Dic3—41no—
627Dic3—41no—
628Dic3—121no—
629Dic3—121no—
630Dic3—241no—
631Dic3#95012yes—
632C32#336511yescharacteristic, complemented, Sylow
633C23—61no—
634C23—181no—
635Q8—21no—
636Q8—62no—
637Q8—61no—
638Q8—61no—
639Q8—122no—
640Q8#379612yes—
641D4—61no—
642D4—61no—
643D4—181no—
644D4—181no—
645D4—362no—
646D4—721no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—31no—
650C2×C4—31no—
651C2×C4—31no—
652C2×C4—31no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—181no—
657C2×C4—721no—
658C2×C4—721no—
659C2×C4D3×#6711yescharacteristic
660C2×C4D3×#6711yescharacteristic
661C2×C4C22×D3211yescharacteristic
662C8—61no—
663C8—61no—
664C8—181no—
665C8—181no—
666C2×C3—21no—
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—241no—
670C2×C3#559811yescharacteristic
671C2×C3D3×#13511yescharacteristic
672C2×C3#577811yescharacteristic
673C2×C3#581711yescharacteristic
674C2×C3C2×#95011yescharacteristic
675C2×C3#583711yescharacteristic
676D3—81no—
677D3—242no—
678D3—241no—
679D3—241no—
680C22—121no—
681C22—121no—
682C22—121no—
683C22—361no—
684C22—361no—
685C22—361no—
686C22C2×D3×#6711yescharacteristic
687C4—22no—
688C4—21no—
689C4—21no—
690C4—32no—
691C4—41no—
692C4—61no—
693C4—61no—
694C4—61no—
695C4—121no—
696C4—121no—
697C4—121no—
698C4—361no—
699C4C2×#379611yescharacteristic
700C4#6429711yescharacteristic
701C3—21no—
702C3#8058111yescharacteristic, complemented
703C3#8369711yescharacteristic, complemented
704C2—241no—
705C2—721no—
706C2#1059490011yescharacteristic
707C2#1059531911yescharacteristic
708C2D3×#95011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radical#63911C22
hypercenterC4×Q8D32
hypocenterC32#3365
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5569C2semidirect
3. C4×#3755C2semidirect
4. C3×#5028C2semidirect
6. #10591607C2semidirect
7. Dic3×#216C2semidirect
8. Dic3×#215C2semidirect
10. #10590537C2semidirect
11. #10590486C2semidirect
12. #10590469C2semidirect
13. #10590308C2semidirect
14. #10590278C2semidirect
15. #10590250C2semidirect
64. #5569D3semidirect
79. #5028D3semidirect
632. C32#3365semidirect
702. C3#80581semidirect
703. C3#83697semidirect

Maximal subgroups

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

subgroupindex
C3×#55692
#105939392
C4×#37552
C3×#50282
#105916172
#105916072
Dic3×#2162
Dic3×#2152
#105905482
#105905372
#105904862
#105904692
#105903082
#105902782
#105902502
#836973
#805813