Finite Group Databasebeta

← #11870821

Subgroups — #11870821

Order 1152.

820 conjugacy classes of subgroups.

The subgroup lattice has 717 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595374C211yesmaximal, characteristic
2#10594363C211yesmaximal, characteristic
3#10592510C211yesmaximal, characteristic
4C3×#4795C211yesmaximal, characteristic, complemented
5C3×#4790C211yesmaximal, characteristic, complemented
6#10591654C211yesmaximal, characteristic
7#10591574C211yesmaximal, characteristic, complemented
8Dic3×#216C211yesmaximal, characteristic, complemented
9#10590950C211yesmaximal, characteristic
10Dic3×Dic12C211yesmaximal, characteristic, complemented
11#10590804C211yesmaximal, characteristic, complemented
12#10590643C211yesmaximal, characteristic
13#10590557C211yesmaximal, characteristic, complemented
14#10590528C211yesmaximal, characteristic
15#10590476C211yesmaximal, characteristic, complemented
16#80456—31nomaximal
17#79722—31nomaximal
18C2×#3797C2211yescharacteristic
19#64155C2211yescharacteristic
20C4⋊C4×C3⋊D3C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic
22C3×#944C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C2×C3×#216C2211yescharacteristic
25C2×C3×Dic12C2211yescharacteristic
26C3×#887C2211yescharacteristic
27C3×#887C2211yescharacteristic
28#63918C2211yescharacteristic
29#63895—21no—
30#63883—21no—
31C4×#624—21no—
32C4×#624C2211yescharacteristic
33#63871C2211yescharacteristic
34#63846—21no—
35Dic3×Dic6C2211yescharacteristic
36Dic3×Dic6C2211yescharacteristic
37Dic3×Dic6C2211yescharacteristic
38#63837—21no—
39#63837—21no—
40#63837—21no—
41#63836—21no—
42C2×#3718C2211yescharacteristic
43C32×#103C2211yescharacteristic
44#63662C2211yescharacteristic
45#63647C2211yescharacteristic
46#63645C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#816C2211yescharacteristic
49C3×Dic3⋊C8C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63575C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63566C2211yescharacteristic
56#63566C2211yescharacteristic
57#63566C2211yescharacteristic
58#63565C2211yescharacteristic
59#63557C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5728—31no—
62#5578—31no—
63C4×D3×Q8—31no—
64C4×D3×Q8—31no—
65C3×#462—31no—
66C3×C4×Q16—31no—
67#5186—31no—
68#5186—31no—
69#5186—31no—
70#5182—31no—
71Dic3×Q16—31no—
72Dic3×Q16—31no—
73#5090—31no—
74C4×#216—31no—
75C4×#216—31no—
76#5021—31no—
77#4884—31no—
78#4875—31no—
79#4850—31no—
80#4833—31no—
81#4811—31no—
82#4811—31no—
83#4811—31no—
84#4811—61no—
85#4809—31no—
86#4795D311yescharacteristic, complemented
87#4793—31no—
88#4790—31no—
89#4790D311yescharacteristic, complemented
90C4×Dic12—31no—
91#4685—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×C4×C3⋊D3C2311yescharacteristic
95C2×C3×Dic6C2311yescharacteristic
96C2×C3×Dic6C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×#627—21no—
99C2×#627—21no—
100C2×#624—21no—
101C2×#624D411yescharacteristic
102C2×#624D411yescharacteristic
103#3797—22no—
104#3797—22no—
105C2×C32×C8C2311yescharacteristic
106C32×C4⋊C4C2311yescharacteristic
107#3752—21no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110#3750—21no—
111#3750—21no—
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C3×#216—22no—
114C3×#216—22no—
115C3×C4⋊Dic3—21no—
116C3×C4⋊Dic3C2311yescharacteristic
117C3×Dic3⋊C4—21no—
118C3×Dic3⋊C4—21no—
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4—21no—
121C3×C4×Dic3—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3C2311yescharacteristic
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×Dic12—22no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134#3722—21no—
135Dic32—21no—
136Dic32—21no—
137Dic32—21no—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140#3718—22no—
141#3104—91noSylow
142C2×D3×Q8—31no—
143C2×D3×Q8—31no—
144C2×C3×Q16—31no—
145C2×C3×Q16—31no—
146C2×C3×Q16—31no—
147C3×C4⋊Q8—31no—
148C3×C4×Q8—31no—
149C3×C4×Q8—31no—
150C3×C4×Q8—31no—
151#946—31no—
152#946—31no—
153#946—31no—
154#946—61no—
155Q8×Dic3—31no—
156Q8×Dic3—31no—
157Q8×Dic3—31no—
158Q8×Dic3C2×D311yescharacteristic
159#944C2×D311yescharacteristic
160C2×#216—31no—
161C2×#216—31no—
162C2×#216C2×D311yescharacteristic
163C2×#216C2×D311yescharacteristic
164C2×Dic12C2×D311yescharacteristic
165#897—31no—
166#897—61no—
167#896—61no—
168#892—61no—
169D3×C4⋊C4—31no—
170D3×C4⋊C4—31no—
171D3×C4⋊C4—61no—
172D3×C4⋊C4—61no—
173D3×C4⋊C4—61no—
174#890—61no—
175#889—61no—
176#888—31no—
177#887—61no—
178#887—61no—
179#887—61no—
180#887C2×D311yescharacteristic
181#887C2×D311yescharacteristic
182#872—61no—
183C42×D3—31no—
184C42×D3—31no—
185C42×D3—61no—
186C42×D3—61no—
187#869—31no—
188C4×Dic6—31no—
189C4×Dic6—31no—
190C4×Dic6—31no—
191C4×Dic6—61no—
192C4×Dic6—61no—
193C4×Dic6—61no—
194C3×#107—31no—
195C3×C4⋊C8—31no—
196C3×#103—21no—
197C3×#103—31no—
198C3×#103—31no—
199C3×#103C2×D311yescharacteristic
200C3×#103C2×D311yescharacteristic
201C3×C4×C8—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#835—31no—
206#835—31no—
207#835—31no—
208#835—61no—
209(C2×D3)⋊C8—31no—
210(C2×D3)⋊C8—31no—
211(C2×D3)⋊C8—31no—
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8—61no—
214#818—31no—
215#818—31no—
216#818—31no—
217#818—61no—
218#816—31no—
219#816—31no—
220#816—31no—
221#816C2×D311yescharacteristic
222Dic3⋊C8—31no—
223Dic3⋊C8C2×D311yescharacteristic
224C8×Dic3—31no—
225C8×Dic3C2×D311yescharacteristic
226#810—31no—
227#810C2×D311yescharacteristic
228#807—31no—
229#807—31no—
230#807—31no—
231#807—61no—
232#807C2×D311yescharacteristic
233C4⋊(C3⋊C8)—31no—
234C4×C3⋊C8—31no—
235C22×C3⋊D3C2×D411yescharacteristic
236C32×Q8—21no—
237C32×Q8—21no—
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3C2×D411yescharacteristic
244C4×C3⋊D3—21no—
245C4×C3⋊D3—21no—
246C4×C3⋊D3—42no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×Dic6—21no—
256C3×Dic6—21no—
257C3×Dic6—21no—
258C3×Dic6—21no—
259C3×Dic6#4112yes—
260C3×Dic6#4112yes—
261#627—24no—
262#627—42no—
263#624—24no—
264#624—41no—
265#624Q1614yescomplemented
266C32×C8—21no—
267C3⋊(C3⋊C8)—21no—
268C3×C3⋊C8—21no—
269C3×C3⋊C8—21no—
270#533—91no—
271C2×C4×Q8—91no—
272#484—91no—
273#484—91no—
274#477—91no—
275#477—91no—
276#462—31no—
277#462—91no—
278#451—91no—
279#451—91no—
280C4×Q16—31no—
281C4×Q16—91no—
282C4×Q16—91no—
283C4×Q16—91no—
284#431—91no—
285C2×C3×Q8—21no—
286C2×C3×Q8—31no—
287C2×C3×Q8—31no—
288C2×C3×Q8—31no—
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291D3×Q8—62no—
292D3×Q8—62no—
293D3×Q8—62no—
294D3×Q8—62no—
295C2×C4×D3—31no—
296C2×C4×D3—31no—
297C2×C4×D3—31no—
298C2×C4×D3—31no—
299C2×C4×D3—31no—
300C2×C4×D3—31no—
301C2×C4×D3—61no—
302C2×C4×D3—61no—
303C2×C4×D3—61no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3—121no—
307C2×Dic6—61no—
308C2×Dic6—61no—
309C2×Dic6—61no—
310C2×Dic6—61no—
311C2×Dic6C22×D311yescharacteristic
312C2×Dic6C22×D311yescharacteristic
313C2×Dic6C22×D311yescharacteristic
314C3×Q16—62no—
315C3×Q16—62no—
316C3×Q16—62no—
317C2×C3×C8—21no—
318C2×C3×C8—31no—
319C2×C3×C8—31no—
320C2×C3×C8C22×D311yescharacteristic
321C2×C3×C8C22×D311yescharacteristic
322C3×C4⋊C4—21no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C42—31no—
332C3×C42—31no—
333C3×C42—61no—
334C3×C42—61no—
335C3×C42—61no—
336#216—22no—
337#216—22no—
338#216—62no—
339#216—62no—
340(C2×D3)⋊C4—61no—
341(C2×D3)⋊C4—61no—
342(C2×D3)⋊C4—61no—
343(C2×D3)⋊C4—61no—
344(C2×D3)⋊C4—121no—
345C4⋊Dic3—21no—
346C4⋊Dic3—31no—
347C4⋊Dic3—31no—
348C4⋊Dic3—31no—
349C4⋊Dic3—31no—
350C4⋊Dic3—61no—
351C4⋊Dic3—61no—
352C4⋊Dic3—61no—
353C4⋊Dic3—61no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3C22×D311yescharacteristic
358Dic3⋊C4—21no—
359Dic3⋊C4—21no—
360Dic3⋊C4—21no—
361Dic3⋊C4—21no—
362Dic3⋊C4—61no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—121no—
372Dic3⋊C4—121no—
373C4×Dic3—21no—
374C4×Dic3—21no—
375C4×Dic3—21no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—31no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3C22×D311yescharacteristic
387C4×Dic3C22×D311yescharacteristic
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8C22×D311yescharacteristic
392C2×C3⋊C8C22×D311yescharacteristic
393Dic12—22no—
394C22×C32C22×D411yescharacteristic
395C2×C3⋊D3—21no—
396C2×C3⋊D3—21no—
397C2×C3⋊D3C2×Q1612yes—
398C32×C4—41no—
399C32×C4—41no—
400C32×C4C2×#4111yescharacteristic
401C32×C4C2×#4111yescharacteristic
402C3⋊Dic3—21no—
403C3⋊Dic3—41no—
404C3⋊Dic3—41no—
405C3×Dic3—22no—
406C3×Dic3—22no—
407C3×Dic3—21no—
408C3×Dic3—21no—
409C3×Dic3—41no—
410C3×Dic3—41no—
411C3×Dic3C2×Q1612yes—
412C3×Dic3C2×Q1612yes—
413C22×Q8—91no—
414C2×Q16—31no—
415C2×Q16—31no—
416C2×Q16—31no—
417C2×Q16—91no—
418C4⋊Q8—31no—
419C4⋊Q8—91no—
420#125—181no—
421C22⋊Q8—91no—
422C22⋊Q8—91no—
423C22⋊Q8—181no—
424C4×Q8—31no—
425C4×Q8—31no—
426C4×Q8—31no—
427C4×Q8—91no—
428C4×Q8—91no—
429C4×Q8—91no—
430C4×Q8—181no—
431C4×Q8—181no—
432C4×Q8—181no—
433#117—181no—
434C2×C4⋊C4—91no—
435C2×C4⋊C4—181no—
436C2×C42—91no—
437C2×C42—181no—
438#107—31no—
439#107—91no—
440#107—91no—
441#107—91no—
442C4⋊C8—31no—
443C4⋊C8—91no—
444#103—31no—
445#103—31no—
446#103—91no—
447#103—91no—
448#103—91no—
449#103—91no—
450#103—91no—
451#103D3211yescharacteristic
452C22⋊C8—91no—
453C22⋊C8—91no—
454C4×C8—31no—
455C4×C8—91no—
456C22×D3—31no—
457C22×D3—31no—
458C22×D3—61no—
459C3×Q8—21no—
460C3×Q8—21no—
461C3×Q8—21no—
462C3×Q8—21no—
463C3×Q8—32no—
464C3×Q8—32no—
465C3×Q8—41no—
466C3×Q8—41no—
467C3×Q8—61no—
468C3×Q8—61no—
469C3×Q8—61no—
470C3×Q8—61no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—31no—
477C2×C3×C4—31no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—41no—
481C2×C3×C4—41no—
482C2×C3×C4—61no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4C23×D311yescharacteristic
487C2×C3×C4C23×D311yescharacteristic
488C2×Dic3—21no—
489C2×Dic3—21no—
490C2×Dic3—21no—
491C2×Dic3—21no—
492C2×Dic3—31no—
493C2×Dic3—31no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—61no—
497C2×Dic3—61no—
498C2×Dic3—61no—
499C2×Dic3—121no—
500C2×Dic3—121no—
501C2×Dic3D3×D411yescharacteristic
502C2×Dic3D3×D411yescharacteristic
503C2×Dic3D3×D411yescharacteristic
504C2×Dic3D3×D411yescharacteristic
505C4×D3—34no—
506C4×D3—34no—
507C4×D3—64no—
508C4×D3—64no—
509C4×D3—61no—
510C4×D3—61no—
511C4×D3—61no—
512C4×D3—61no—
513C4×D3—121no—
514C4×D3—121no—
515C4×D3—121no—
516C4×D3—121no—
517C4×D3—122no—
518C4×D3—122no—
519C4×D3—242no—
520Dic6—21no—
521Dic6—21no—
522Dic6—21no—
523Dic6—21no—
524Dic6—64no—
525Dic6—64no—
526Dic6—122no—
527Dic6—122no—
528Dic6#23512yes—
529Dic6#23712yes—
530C3×C8—21no—
531C3×C8—21no—
532C3×C8—41no—
533C3×C8—61no—
534C3×C8—61no—
535C3⋊C8—21no—
536C3⋊C8—21no—
537C3⋊C8—61no—
538C3⋊C8—61no—
539C3⋊C8—121no—
540C2×C32#52511yescharacteristic
541C2×C32C22×Q1611yescharacteristic
542C2×C32#57511yescharacteristic
543C3⋊D3—22no—
544C2×Q8—31no—
545C2×Q8—31no—
546C2×Q8—31no—
547C2×Q8—181no—
548C2×Q8—181no—
549C2×Q8—182no—
550C2×Q8—182no—
551C2×Q8C2×D3211yescharacteristic
552C22×C4—91no—
553C22×C4—91no—
554C22×C4—91no—
555C22×C4—181no—
556C22×C4—181no—
557Q16—62no—
558Q16—62no—
559Q16—62no—
560Q16—182no—
561C2×C8—31no—
562C2×C8—31no—
563C2×C8—91no—
564C2×C8C2×D3211yescharacteristic
565C4⋊C4—31no—
566C4⋊C4—61no—
567C4⋊C4—61no—
568C4⋊C4—61no—
569C4⋊C4—61no—
570C4⋊C4—61no—
571C4⋊C4—91no—
572C4⋊C4—91no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C4⋊C4—181no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4C2×D3211yescharacteristic
581C22⋊C4—181no—
582C22⋊C4—181no—
583C42—31no—
584C42—31no—
585C42—61no—
586C42—61no—
587C42—61no—
588C42—91no—
589C42—91no—
590C42—181no—
591C42—181no—
592C42—181no—
593C22×C3—21no—
594C22×C3C2×D3×D411yescharacteristic
595C22×C3C2×D3×D411yescharacteristic
596C2×D3—32no—
597C2×D3—32no—
598C2×D3—62no—
599C2×D3—61no—
600C2×D3—61no—
601C2×D3—61no—
602C2×D3—61no—
603C2×D3—121no—
604C2×D3—121no—
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—32no—
608C3×C4—32no—
609C3×C4—41no—
610C3×C4—41no—
611C3×C4—41no—
612C3×C4—41no—
613C3×C4—61no—
614C3×C4—61no—
615C3×C4—62no—
616C3×C4—62no—
617C3×C4—81no—
618C3×C4—81no—
619C3×C4—121no—
620C3×C4—121no—
621C3×C4C2×#23511yescharacteristic
622C3×C4C2×#23711yescharacteristic
623C3×C4D3×#4111yescharacteristic
624C3×C4D3×#4111yescharacteristic
625Dic3—21no—
626Dic3—21no—
627Dic3—22no—
628Dic3—22no—
629Dic3—41no—
630Dic3—41no—
631Dic3—61no—
632Dic3—61no—
633Dic3—121no—
634Dic3—121no—
635Dic3—121no—
636Dic3—121no—
637Dic3—121no—
638Dic3—241no—
639Dic3—241no—
640Dic3D3×Q1612yes—
641Dic3D3×Q1612yes—
642C32#310411yescharacteristic, complemented, Sylow
643C23—91no—
644Q8—21no—
645Q8—21no—
646Q8—32no—
647Q8—32no—
648Q8—61no—
649Q8—61no—
650Q8—61no—
651Q8—61no—
652Q8—184no—
653Q8—362no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—31no—
657C2×C4—31no—
658C2×C4—31no—
659C2×C4—31no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—94no—
665C2×C4—91no—
666C2×C4—184no—
667C2×C4—181no—
668C2×C4—181no—
669C2×C4—181no—
670C2×C4—181no—
671C2×C4—362no—
672C2×C4—361no—
673C2×C4C22×D3211yescharacteristic
674C8—21no—
675C8—61no—
676C8—61no—
677C8—181no—
678C2×C3—21no—
679C2×C3—21no—
680C2×C3—21no—
681C2×C3#554711yescharacteristic
682C2×C3#560611yescharacteristic
683C2×C3C2×D3×Q1611yescharacteristic
684C2×C3C2×D3×Q1611yescharacteristic
685C2×C3#576811yescharacteristic
686C2×C3#577711yescharacteristic
687D3—62no—
688D3—62no—
689D3—122no—
690C22—92no—
691C22—181no—
692C22—181no—
693C22D32×D411yescharacteristic
694C4—32no—
695C4—32no—
696C4—41no—
697C4—41no—
698C4—61no—
699C4—61no—
700C4—62no—
701C4—62no—
702C4—121no—
703C4—121no—
704C4—181no—
705C4—361no—
706C4—361no—
707C4D3×#23511yescharacteristic
708C4D3×#23711yescharacteristic
709C3—21no—
710C3#7972211yescharacteristic, complemented
711C3#8045611yescharacteristic, complemented
712C2—182no—
713C2#1059428611yescharacteristic
714C2#1059474611yescharacteristic
715C2D32×Q1611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC22×C3⋊D3C2×D4
hypercenter#103D32
hypocenterC32#3104
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
4. C3×#4795C2semidirect
5. C3×#4790C2semidirect
7. #10591574C2semidirect
8. Dic3×#216C2semidirect
10. Dic3×Dic12C2semidirect
11. #10590804C2semidirect
13. #10590557C2semidirect
15. #10590476C2semidirect
86. #4795D3semidirect
89. #4790D3semidirect
265. #624Q16semidirect
642. C32#3104semidirect
710. C3#79722semidirect
711. C3#80456semidirect

Maximal subgroups

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

subgroupindex
#105953742
#105943632
#105925102
C3×#47952
C3×#47902
#105916542
#105915742
Dic3×#2162
#105909502
Dic3×Dic122
#105908042
#105906432
#105905572
#105905282
#105904762
#804563
#797223