Finite Group Databasebeta

← #13175877

Subgroups — #13175877

Order 1728.

1536 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723920C211yesmaximal, characteristic, complemented
2C3×#64093C211yesmaximal, characteristic
3C32×#878C211yesmaximal, characteristic, complemented
4Dic3×#638C211yesmaximal, characteristic, complemented
5#11723605C211yesmaximal, characteristic, complemented
6#11723591C211yesmaximal, characteristic, complemented
7#11723591C211yesmaximal, characteristic, complemented
8#11723502C211yesmaximal, characteristic, complemented
9#11723488C211yesmaximal, characteristic, complemented
10#11723436C211yesmaximal, characteristic, complemented
11#11723418C211yesmaximal, characteristic, complemented
12#11723408C211yesmaximal, characteristic, complemented
13#11723404C211yesmaximal, characteristic, complemented
14#11723393C211yesmaximal, characteristic, complemented
15#11723391C211yesmaximal, characteristic, complemented
16#10596111—31nomaximal
17#10594149—34nomaximal
18C2×C3×#638C2211yescharacteristic
19C2×C3×#638C2211yescharacteristic
20C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
21C2×C3×C4×C3⋊D3C2211yescharacteristic
22C22×C32×Dic3C2211yescharacteristic
23C2×C32×Dic6C2211yescharacteristic
24C2×#6293C2211yescharacteristic
25C2×#6293C2211yescharacteristic
26C2×Dic3×C3⋊D3C2211yescharacteristic
27C33×C22⋊C4C2211yescharacteristic
28#88864C2211yescharacteristic
29#88864C2211yescharacteristic
30C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic
31#88857C2211yescharacteristic
32#88857C2211yescharacteristic
33C4×C3⋊(C3⋊Dic3)C2211yescharacteristic
34C3×#3752C2211yescharacteristic
35C3×#3750C2211yescharacteristic
36C32×#217C2211yescharacteristic
37C32×C4⋊Dic3C2211yescharacteristic
38C32×Dic3⋊C4C2211yescharacteristic
39C32×Dic3⋊C4C2211yescharacteristic
40#88807C2211yescharacteristic
41#88806C2211yescharacteristic
42#88806C2211yescharacteristic
43#88803C2211yescharacteristic
44#88803C2211yescharacteristic
45#88803C2211yescharacteristic
46#88803C2211yescharacteristic
47#88803C2211yescharacteristic
48#88803C2211yescharacteristic
49#88803C2211yescharacteristic
50Dic3×C3⋊Dic3C2211yescharacteristic
51Dic3×C3⋊Dic3C2211yescharacteristic
52Dic3×C3⋊Dic3C2211yescharacteristic
53C32×C22⋊Q8—31no—
54#64156—31no—
55#64153—31no—
56#64138—31no—
57C4×#638—31no—
58#64107—31no—
59#64105—31no—
60#64105—31no—
61#64103—31no—
62#64101—31no—
63#64096—31no—
64#64094—31no—
65#64094—31no—
66#64093D311yescharacteristic
67#64088—31no—
68#64088—34no—
69#64088—64no—
70C3×#884—34no—
71C3×#878D314yescomplemented
72Dic3×#67—34no—
73#63961—34no—
74#63959—34no—
75#63959—34no—
76#63899—34no—
77#63884—34no—
78#63863—34no—
79#63861—34no—
80#63851—34no—
81#63841—34no—
82#63839—34no—
83#63838—34no—
84C23×C33C2311yescharacteristic
85C22×C3×C3⋊D3C2311yescharacteristic
86C22×C3×C3⋊D3C2311yescharacteristic
87C2×C33×C4C2311yescharacteristic
88C2×C33×C4C2311yescharacteristic
89C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
90C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
91C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C3×#638—22no—
94C3×#638—41no—
95C2×C3×C3⋊Dic3C2311yescharacteristic
96C2×C3×C3⋊Dic3C2311yescharacteristic
97C3×C4⋊(C3⋊D3)—41no—
98C3×C4×C3⋊D3—22no—
99C2×C32×Dic3—41no—
100C2×C32×Dic3C2311yescharacteristic
101C2×C32×Dic3C2311yescharacteristic
102C2×C32×Dic3C2311yescharacteristic
103C2×C32×Dic3C2311yescharacteristic
104C32×Dic6—41no—
105#6293—22no—
106#6293—41no—
107Dic3×C3⋊D3—41no—
108#5640—94no—
109#5603—91no—
110C2×C32×Q8—31no—
111C22×C32×C4—31no—
112C2×#638C2×D311yescharacteristic
113C2×#638C2×D311yescharacteristic
114C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
115C2×C4×C3⋊D3—31no—
116C2×C4×C3⋊D3C2×D311yescharacteristic
117C2×#634—31no—
118C2×#634—31no—
119C2×C3×#67—34no—
120C2×C3×#67—34no—
121C22×C3×Dic3C2×D314yes—
122C2×C3×D12—34no—
123C2×C3×C4×D3—34no—
124C2×C3×Dic6C2×D314yes—
125C2×#627—34no—
126C2×#627—34no—
127C2×D3×Dic3—34no—
128C32×C4⋊C4—31no—
129C32×C4⋊C4—31no—
130C32×C4⋊C4—31no—
131C32×C22⋊C4—24no—
132C32×C22⋊C4—31no—
133C32×C22⋊C4C2×D314yes—
134C32×C22⋊C4C2×D311yescharacteristic
135#3757—31no—
136#3757—31no—
137#3757—34no—
138#3757—34no—
139#3757—64no—
140#3757—64no—
141#3752—31no—
142#3752—31no—
143#3752—31no—
144#3752—31no—
145#3752—31no—
146#3752—31no—
147#3752—31no—
148#3752C2×D311yescharacteristic
149C4⋊(C3⋊Dic3)—31no—
150C4⋊(C3⋊Dic3)—34no—
151C4⋊(C3⋊Dic3)—64no—
152#3750—31no—
153#3750—31no—
154#3750—34no—
155#3750—34no—
156#3750—31no—
157#3750—31no—
158#3750—31no—
159#3750—64no—
160#3750—64no—
161#3750C2×D311yescharacteristic
162C4×C3⋊Dic3—31no—
163C4×C3⋊Dic3—34no—
164C4×C3⋊Dic3—31no—
165C4×C3⋊Dic3—31no—
166C4×C3⋊Dic3—31no—
167C4×C3⋊Dic3—64no—
168C3×#217C2×D314yes—
169C3×(C2×D3)⋊C4—34no—
170C3×C4⋊Dic3C2×D314yes—
171C3×Dic3⋊C4—34no—
172C3×Dic3⋊C4C2×D314yes—
173C3×Dic3⋊C4C2×D314yes—
174#3724—34no—
175#3724—34no—
176Dic3⋊Dic3—34no—
177(C2×D3)⋊Dic3—34no—
178(C2×D3)⋊Dic3—34no—
179(C2×D3)⋊Dic3—34no—
180(C2×D3)⋊Dic3—34no—
181(C2×D3)⋊Dic3—34no—
182(C2×D3)⋊Dic3—34no—
183(C2×D3)⋊Dic3—34no—
184Dic32—34no—
185Dic32—34no—
186Dic32—34no—
187C22×C33—21no—
188C22×C33—21no—
189C22×C33—21no—
190C22×C33C2411yescharacteristic
191C2×C3×C3⋊D3—21no—
192C2×C3×C3⋊D3—21no—
193C2×C3×C3⋊D3—21no—
194C2×C3×C3⋊D3—21no—
195C2×C3×C3⋊D3—21no—
196C2×C3×C3⋊D3—21no—
197C33×C4—21no—
198C33×C4—21no—
199C3⋊(C3⋊Dic3)—21no—
200C3⋊(C3⋊Dic3)—21no—
201C3⋊(C3⋊Dic3)—21no—
202C3⋊(C3⋊Dic3)—21no—
203C3×C3⋊Dic3—21no—
204C3×C3⋊Dic3#4112yes—
205C32×Dic3—21no—
206C32×Dic3—21no—
207C32×Dic3—21no—
208C32×Dic3—21no—
209C3×C22⋊Q8—34no—
210C3×#121—91no—
211#947—94no—
212#944—94no—
213#936—91no—
214#936—91no—
215#936—91no—
216#935—91no—
217#935—91no—
218D4×Dic3—91no—
219#929—94no—
220C4×#67—94no—
221#926—91no—
222#924—91no—
223#898—94no—
224#896—94no—
225#896—94no—
226#894—94no—
227#892—94no—
228#888—91no—
229#887—94no—
230#887—91no—
231#885—94no—
232#885—94no—
233#884—34no—
234#879—94no—
235#879—91no—
236#879—91no—
237#879—184no—
238#878—91no—
239#878C3⋊D311yescharacteristic, complemented
240C23×C32—24no—
241C23×C32C22×D314yes—
242C23×C32C22×D311yescharacteristic
243C22×C3⋊D3C22×D311yescharacteristic
244C22×C3⋊D3C22×D311yescharacteristic
245C22×C3×D3—34no—
246C22×C3×D3—34no—
247C32×Q8—121no—
248C2×C32×C4—24no—
249C2×C32×C4—24no—
250C2×C32×C4—31no—
251C2×C32×C4—31no—
252C2×C32×C4—31no—
253C2×C32×C4—31no—
254C2×C32×C4—121no—
255C2×C32×C4C22×D314yes—
256C2×C32×C4C22×D314yes—
257C2×C32×C4C22×D311yescharacteristic
258C2×C32×C4C22×D311yescharacteristic
259#638—22no—
260#638—41no—
261C2×C3⋊Dic3—31no—
262C2×C3⋊Dic3—31no—
263C2×C3⋊Dic3—31no—
264C2×C3⋊Dic3—31no—
265C2×C3⋊Dic3—34no—
266C2×C3⋊Dic3—34no—
267C2×C3⋊Dic3—34no—
268C2×C3⋊Dic3—34no—
269C2×C3⋊Dic3—64no—
270C2×C3⋊Dic3—64no—
271C2×C3⋊Dic3—64no—
272C2×C3⋊Dic3—64no—
273C2×C3⋊Dic3C22×D311yescharacteristic
274C2×C3⋊Dic3C22×D311yescharacteristic
275C4⋊(C3⋊D3)—41no—
276C4×C3⋊D3—22no—
277C4×C3⋊D3—121no—
278#634—62no—
279#634—121no—
280C3×#67—68no—
281C3×#67—124no—
282C2×C3×Dic3—34no—
283C2×C3×Dic3—34no—
284C2×C3×Dic3—44no—
285C2×C3×Dic3C22×D314yes—
286C2×C3×Dic3C22×D314yes—
287C2×C3×Dic3C22×D314yes—
288C2×C3×Dic3C22×D314yes—
289C3×D12—124no—
290C3×C4×D3—68no—
291C3×Dic6—44no—
292#627—68no—
293#627—124no—
294D3×Dic3—124no—
295#542—271noSylow
296C2×C33—41no—
297C2×C33C2×#4111yescharacteristic
298C2×C33H(5,𝔽2)11yescharacteristic
299C2×C332−1+411yescharacteristic
300C3×C3⋊D3—41no—
301C3×C3⋊D3—41no—
302C2×C3×Q8—34no—
303C2×C3×D4—91no—
304C2×C3×D4—91no—
305C2×C3×D4—91no—
306C22×C3×C4—34no—
307C22×C3×C4—91no—
308C2×#67—34no—
309C2×#67—34no—
310C22×Dic3—91no—
311C22×Dic3C2×C3⋊D311yescharacteristic
312C2×D12—34no—
313C2×C4×D3—34no—
314C2×C4×D3—94no—
315C2×Dic6—94no—
316C2×Dic6—91no—
317C2×Dic6—94no—
318C2×Dic6—91no—
319C2×Dic6C2×C3⋊D311yescharacteristic
320C3×C4⋊C4—34no—
321C3×C4⋊C4—34no—
322C3×C4⋊C4—34no—
323C3×C4⋊C4—91no—
324C3×C22⋊C4—24no—
325C3×C22⋊C4—34no—
326C3×C22⋊C4—91no—
327C3×C22⋊C4D3214yes—
328C3×C22⋊C4C2×C3⋊D311yescharacteristic
329#217—94no—
330#217—94no—
331#217—91no—
332#217—91no—
333#217—91no—
334#217—91no—
335#217—91no—
336#217—91no—
337#217—91no—
338#217—91no—
339#217—91no—
340#217—184no—
341#217—184no—
342#217C2×C3⋊D311yescharacteristic
343(C2×D3)⋊C4—34no—
344(C2×D3)⋊C4—94no—
345(C2×D3)⋊C4—94no—
346(C2×D3)⋊C4—94no—
347(C2×D3)⋊C4—94no—
348(C2×D3)⋊C4—94no—
349(C2×D3)⋊C4—94no—
350(C2×D3)⋊C4—94no—
351C4⋊Dic3—94no—
352C4⋊Dic3—91no—
353C4⋊Dic3—91no—
354C4⋊Dic3—184no—
355C4⋊Dic3C2×C3⋊D311yescharacteristic
356Dic3⋊C4—34no—
357Dic3⋊C4—94no—
358Dic3⋊C4—94no—
359Dic3⋊C4—94no—
360Dic3⋊C4—94no—
361Dic3⋊C4—94no—
362Dic3⋊C4—91no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—91no—
366Dic3⋊C4—184no—
367Dic3⋊C4—184no—
368Dic3⋊C4C2×C3⋊D311yescharacteristic
369Dic3⋊C4C2×C3⋊D311yescharacteristic
370C4×Dic3—94no—
371C4×Dic3—94no—
372C4×Dic3—94no—
373C4×Dic3—94no—
374C4×Dic3—91no—
375C4×Dic3—91no—
376C4×Dic3—91no—
377C4×Dic3—91no—
378C4×Dic3—184no—
379C22×C32—21no—
380C22×C32—21no—
381C22×C32—21no—
382C22×C32—24no—
383C22×C32—24no—
384C22×C32—24no—
385C22×C32—24no—
386C22×C32—44no—
387C22×C32—44no—
388C22×C32—44no—
389C22×C32C23×D314yes—
390C22×C32C23×D311yescharacteristic
391C2×C3⋊D3—21no—
392C2×C3⋊D3—21no—
393C2×C3⋊D3—21no—
394C2×C3⋊D3—21no—
395C2×C3⋊D3—21no—
396C2×C3⋊D3—21no—
397C2×C3×D3—64no—
398C2×C3×D3—64no—
399C2×C3×D3—64no—
400C2×C3×D3—64no—
401C2×C3×D3—64no—
402C2×C3×D3—64no—
403C32×C4—21no—
404C32×C4—21no—
405C32×C4—24no—
406C32×C4—24no—
407C32×C4—44no—
408C32×C4—44no—
409C32×C4—61no—
410C32×C4—61no—
411C32×C4—61no—
412C32×C4—61no—
413C3⋊Dic3—21no—
414C3⋊Dic3—61no—
415C3⋊Dic3—61no—
416C3⋊Dic3—61no—
417C3⋊Dic3—61no—
418C3⋊Dic3—64no—
419C3⋊Dic3—64no—
420C3⋊Dic3—64no—
421C3⋊Dic3—64no—
422C3⋊Dic3—124no—
423C3⋊Dic3—124no—
424C3⋊Dic3—124no—
425C3⋊Dic3—124no—
426C3⋊Dic3#23712yes—
427C3×Dic3—24no—
428C3×Dic3—24no—
429C3×Dic3—24no—
430C3×Dic3—24no—
431C3×Dic3—38no—
432C3×Dic3—64no—
433C4⋊Q8—271no—
434#126—271no—
435#126—271no—
436#124—271no—
437#124—271no—
438#124—271no—
439#123—271no—
440#123—271no—
441C22⋊Q8—31no—
442C22⋊Q8—271no—
443C22⋊Q8—271no—
444#121—91no—
445C4×Q8—271no—
446C4×D4—271no—
447#117—271no—
448C33#54211yescharacteristic, complemented, Sylow
449C23×C3—24no—
450C23×C3—91no—
451C23×C3—91no—
452C23×C3C2×D3214yes—
453C23×C3C22×C3⋊D311yescharacteristic
454C22×D3—34no—
455C22×D3—34no—
456C3×Q8—124no—
457C3×D4—182no—
458C3×D4—361no—
459C3×D4—361no—
460C2×C3×C4—24no—
461C2×C3×C4—24no—
462C2×C3×C4—34no—
463C2×C3×C4—34no—
464C2×C3×C4—34no—
465C2×C3×C4—34no—
466C2×C3×C4—91no—
467C2×C3×C4—91no—
468C2×C3×C4—124no—
469C2×C3×C4—182no—
470C2×C3×C4C2×D3214yes—
471C2×C3×C4C2×D3214yes—
472C2×C3×C4C22×C3⋊D311yescharacteristic
473C2×C3×C4C22×C3⋊D311yescharacteristic
474#67—68no—
475#67—124no—
476C2×Dic3—34no—
477C2×Dic3—34no—
478C2×Dic3—41no—
479C2×Dic3—94no—
480C2×Dic3—94no—
481C2×Dic3—94no—
482C2×Dic3—94no—
483C2×Dic3—91no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—91no—
487C2×Dic3—184no—
488C2×Dic3—184no—
489C2×Dic3—184no—
490C2×Dic3—184no—
491C2×Dic3—361no—
492C2×Dic3C22×C3⋊D311yescharacteristic
493C2×Dic3C22×C3⋊D311yescharacteristic
494C2×Dic3C22×C3⋊D311yescharacteristic
495C2×Dic3C22×C3⋊D311yescharacteristic
496D12—124no—
497C4×D3—68no—
498C4×D3—364no—
499Dic6—41no—
500Dic6—182no—
501Dic6—188no—
502Dic6—361no—
503Dic6—364no—
504C2×C32—24no—
505C2×C32—24no—
506C2×C32—24no—
507C2×C32—41no—
508C2×C32—44no—
509C2×C32—84no—
510C2×C32C2×#23711yescharacteristic
511C2×C32#100414yes—
512C2×C32#100411yescharacteristic
513C2×C32#100714yes—
514C2×C32D3×#4114yes—
515C2×C32#101011yescharacteristic
516C3⋊D3—41no—
517C3⋊D3—41no—
518C3×D3—124no—
519C3×D3—124no—
520C2×Q8—31no—
521C2×Q8—271no—
522C2×Q8—271no—
523C2×D4—91no—
524C2×D4—91no—
525C2×D4—91no—
526C22×C4—31no—
527C22×C4—91no—
528C22×C4—271no—
529C4⋊C4—31no—
530C4⋊C4—31no—
531C4⋊C4—31no—
532C4⋊C4—91no—
533C4⋊C4—271no—
534C4⋊C4—271no—
535C4⋊C4—271no—
536C4⋊C4—271no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C22⋊C4—31no—
540C22⋊C4—91no—
541C22⋊C4—271no—
542C22⋊C4—271no—
543C22⋊C4—271no—
544C22⋊C4—271no—
545C22⋊C4—271no—
546C22⋊C4—271no—
547C22⋊C4—271no—
548C22⋊C4—271no—
549C22⋊C4—271no—
550C22⋊C4D3×C3⋊D311yescharacteristic
551C42—271no—
552C42—271no—
553C42—271no—
554C42—271no—
555C22×C3—24no—
556C22×C3—24no—
557C22×C3—24no—
558C22×C3—21no—
559C22×C3—21no—
560C22×C3—21no—
561C22×C3—24no—
562C22×C3—44no—
563C22×C3—44no—
564C22×C3—44no—
565C22×C3—181no—
566C22×C3—181no—
567C22×C3—181no—
568C22×C3—181no—
569C22×C3—181no—
570C22×C3—181no—
571C22×C3C22×D3214yes—
572C22×C3C23×C3⋊D311yescharacteristic
573C2×D3—64no—
574C2×D3—64no—
575C2×D3—64no—
576C2×D3—64no—
577C2×D3—64no—
578C2×D3—64no—
579C3×C4—24no—
580C3×C4—24no—
581C3×C4—21no—
582C3×C4—21no—
583C3×C4—44no—
584C3×C4—44no—
585C3×C4—64no—
586C3×C4—64no—
587C3×C4—64no—
588C3×C4—64no—
589C3×C4—92no—
590C3×C4—181no—
591Dic3—21no—
592Dic3—21no—
593Dic3—21no—
594Dic3—21no—
595Dic3—38no—
596Dic3—64no—
597Dic3—184no—
598Dic3—184no—
599Dic3—184no—
600Dic3—184no—
601Dic3—181no—
602Dic3—181no—
603Dic3—181no—
604Dic3—181no—
605Dic3—364no—
606Dic3—364no—
607Dic3—364no—
608Dic3—364no—
609C32—24no—
610C32#560311yescharacteristic, complemented
611C32#564014yescomplemented
612C23—91no—
613C23—91no—
614C23C2×D3×C3⋊D311yescharacteristic
615Q8—121no—
616Q8—542no—
617Q8—1081no—
618D4—182no—
619D4—361no—
620D4—361no—
621C2×C4—31no—
622C2×C4—31no—
623C2×C4—31no—
624C2×C4—31no—
625C2×C4—91no—
626C2×C4—91no—
627C2×C4—121no—
628C2×C4—182no—
629C2×C4—271no—
630C2×C4—271no—
631C2×C4—271no—
632C2×C4—271no—
633C2×C4—1081no—
634C2×C4C2×D3×C3⋊D311yescharacteristic
635C2×C4C2×D3×C3⋊D311yescharacteristic
636C2×C3—24no—
637C2×C3—24no—
638C2×C3—24no—
639C2×C3—41no—
640C2×C3—44no—
641C2×C3—84no—
642C2×C3—361no—
643C2×C3—361no—
644C2×C3#6429714yes—
645C2×C3D3×#23714yes—
646C2×C3#6431314yes—
647C2×C3#6436111yescharacteristic
648C2×C3#6436411yescharacteristic
649C2×C3#41×C3⋊D311yescharacteristic
650D3—124no—
651D3—124no—
652C22—21no—
653C22—21no—
654C22—21no—
655C22—181no—
656C22—181no—
657C22—181no—
658C22—181no—
659C22—181no—
660C22—181no—
661C22C22×D3×C3⋊D311yescharacteristic
662C4—21no—
663C4—21no—
664C4—61no—
665C4—61no—
666C4—61no—
667C4—61no—
668C4—92no—
669C4—181no—
670C4—541no—
671C4—541no—
672C4—541no—
673C4—541no—
674C3—24no—
675C3#1059414914yescomplemented
676C3#1059611111yescharacteristic, complemented
677C2—41no—
678C2—361no—
679C2—361no—
680C2#1172456611yescharacteristic
681C2C3⋊D3×#23711yescharacteristic
682C2#1172458711yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC33×C22⋊C4C22
prime radicalC3×#64093C2
hypercenterC22⋊C4D3×C3⋊D3
hypocenterC33#542
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
1. #11723920C2semidirect
3. C32×#878C2semidirect
4. Dic3×#638C2semidirect
5. #11723605C2semidirect
6. #11723591C2semidirect
7. #11723591C2semidirect
8. #11723502C2semidirect
9. #11723488C2semidirect
10. #11723436C2semidirect
11. #11723418C2semidirect
12. #11723408C2semidirect
13. #11723404C2semidirect
14. #11723393C2semidirect
15. #11723391C2semidirect
71. C3×#878D3semidirect
239. #878C3⋊D3semidirect
448. C33#542semidirect
610. C32#5603semidirect
611. C32#5640semidirect
675. C3#10594149semidirect
676. C3#10596111semidirect

Maximal subgroups

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

subgroupindex
#117239202
C3×#640932
C32×#8782
Dic3×#6382
#117236052
#117235912
#117235022
#117234882
#117234362
#117234182
#117234082
#117234042
#117233932
#117233912
#105961113
#105941493