Finite Group Databasebeta

← #10847422

Subgroups — #10847422

Order 768.

1164 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5580C211yesmaximal, characteristic
2C2×#4864C211yesmaximal, characteristic
3C2×#4813C211yesmaximal, characteristic, complemented
4#76287C211yesmaximal, characteristic, complemented
5C3×#1865C211yesmaximal, characteristic, complemented
6#71632C211yesmaximal, characteristic, complemented
7#70566C211yesmaximal, characteristic, complemented
8#70279C211yesmaximal, characteristic, complemented
9#70278C211yesmaximal, characteristic, complemented
10#70270C211yesmaximal, characteristic, complemented
11#69625C211yesmaximal, characteristic, complemented
12#68911C211yesmaximal, characteristic, complemented
13#68883C211yesmaximal, characteristic
14#68672C211yesmaximal, characteristic, complemented
15D3×#336C211yesmaximal, characteristic, complemented
16#25499—31nomaximal, Sylow
17C2×C3×C4×Q8C2211yescharacteristic
18C2×#947C2211yescharacteristic
19C2×#946C2211yescharacteristic
20C22×#216C2211yescharacteristic
21C22×#204C2211yescharacteristic
22C22×D3×C8C2211yescharacteristic
23C22×D3×C8C2211yescharacteristic
24#5580—24no—
25#5580—24no—
26C2×#898—21no—
27C2×#897C2211yescharacteristic
28C2×#895C2211yescharacteristic
29C2×#894—21no—
30C2×#890C2211yescharacteristic
31C2×C4×D12—21no—
32C2×C4×D12C2211yescharacteristic
33C2×#872—21no—
34C2×C42×D3C2211yescharacteristic
35C2×C3×#106C2211yescharacteristic
36C2×C3×#103C2211yescharacteristic
37C2×C3×#103C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C2×#835C2211yescharacteristic
40C2×#821C2211yescharacteristic
41C2×#816C2211yescharacteristic
42#4989—21no—
43#4987C2211yescharacteristic
44#4980—21no—
45#4973C2211yescharacteristic
46#4972C2211yescharacteristic
47C2×#810C2211yescharacteristic
48C2×#809C2211yescharacteristic
49C2×#809C2211yescharacteristic
50C2×#807C2211yescharacteristic
51#4929C2211yescharacteristic
52#4864—24no—
53#4813—24no—
54#4664—21no—
55#4655—21no—
56C3×#340C2211yescharacteristic
57C3×#336C2211yescharacteristic
58#4551C2211yescharacteristic
59#4550C2211yescharacteristic
60#4550C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#529—31no—
65C2×#467—31no—
66C2×#465—31no—
67#2855—31no—
68#2059—31no—
69#2042—31no—
70#2026—31no—
71#2015—31no—
72#1893—31no—
73#1892—31no—
74#1878—31no—
75#1877—31no—
76#1865D311yescharacteristic, complemented
77#1862—31no—
78C2×#336—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×D12—21no—
81C22×D12C2311yescharacteristic
82C22×C4×D3—21no—
83C22×C4×D3D411yescharacteristic
84C22×C4×D3D411yescharacteristic
85C22×C4×D3C2311yescharacteristic
86C22×Dic6C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C3×C4×Q8—22no—
90C3×C4×Q8—22no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4—21no—
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C42—21no—
97C2×C3×C42C2311yescharacteristic
98#947—22no—
99#947—22no—
100#946—22no—
101#946D414yes—
102C2×#216—22no—
103C2×#216—22no—
104C2×#216—41no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×C4⋊Dic3—21no—
113C2×C4⋊Dic3—21no—
114C2×C4⋊Dic3C2311yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116C2×Dic3⋊C4—21no—
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C2×C4×Dic3D411yescharacteristic
120C2×C4×Dic3D411yescharacteristic
121C2×C4×Dic3C2311yescharacteristic
122C22×C3⋊C8C2311yescharacteristic
123C22×C3⋊C8C2311yescharacteristic
124C2×#204—22no—
125C2×#204—22no—
126C2×#204—41no—
127C2×D3×C8—22no—
128C2×D3×C8—22no—
129C2×D3×C8—22no—
130C2×D3×C8—22no—
131C2×D3×C8—41no—
132C2×D3×C8—41no—
133#898—28no—
134#897—22no—
135#897—22no—
136#895—22no—
137#895D414yes—
138#894—28no—
139#890—22no—
140#890—22no—
141C4×D12—28no—
142C4×D12—22no—
143C4×D12—22no—
144#872—28no—
145C42×D3—22no—
146C42×D3—22no—
147C3×#106—22no—
148C3×#103—22no—
149C3×#103—22no—
150C3×#95—21no—
151#835—41no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157C3⋊#95—21no—
158#821—41no—
159#816—22no—
160#810—22no—
161#809—22no—
162#809—22no—
163#807—22no—
164C22×Q16—31no—
165C22×SD16—31no—
166C23×C8—31no—
167C23×C8—31no—
168#529—64no—
169#529—64no—
170C2×#126—61no—
171C2×#125—31no—
172C2×#124—31no—
173C2×#123—61no—
174C2×C22⋊Q8—31no—
175C2×C22⋊Q8—31no—
176C2×#121—31no—
177C2×C4×Q8C2×D311yescharacteristic
178C2×C4×D4—31no—
179C2×C4×D4—61no—
180C2×#117—61no—
181C22×C42—31no—
182#467—64no—
183#465—64no—
184C2×#107—31no—
185C2×#106C2×D311yescharacteristic
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103C2×D311yescharacteristic
190C2×#103C2×D311yescharacteristic
191C2×#102—31no—
192C2×#102—31no—
193C2×#102—31no—
194#391—31no—
195#391—31no—
196#389—31no—
197#389C2×D311yescharacteristic
198#387—61no—
199#387—61no—
200#385—61no—
201#381—61no—
202#380—31no—
203#340—31no—
204#340—31no—
205#340—31no—
206#340C2×D311yescharacteristic
207#336—31no—
208#336—31no—
209#336—31no—
210#336C2×D311yescharacteristic
211C23×D3—21no—
212C23×D3C2×D411yescharacteristic
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8C2×D412yes—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2411yescharacteristic
226C22×Dic3—21no—
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3C2×D411yescharacteristic
230C22×Dic3C2×D411yescharacteristic
231C22×Dic3C2×D411yescharacteristic
232C2×D12—21no—
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—21no—
236C2×D12—24no—
237C2×D12—21no—
238C2×D12—42no—
239C2×D12—42no—
240C2×D12C2×D412yes—
241C2×C4×D3—21no—
242C2×C4×D3—21no—
243C2×C4×D3—21no—
244C2×C4×D3—21no—
245C2×C4×D3—24no—
246C2×C4×D3—22no—
247C2×C4×D3—22no—
248C2×C4×D3—22no—
249C2×C4×D3—22no—
250C2×C4×D3—22no—
251C2×C4×D3—41no—
252C2×C4×D3—42no—
253C2×C4×D3—42no—
254C2×C4×D3C2×D412yes—
255C2×C4×D3C2×D412yes—
256C2×Dic6—21no—
257C2×Dic6—21no—
258C2×Dic6—21no—
259C2×Dic6—21no—
260C2×Dic6—21no—
261C2×Dic6—21no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8—21no—
266C2×C3×C8—21no—
267C2×C3×C8#4112yes—
268C3×C4⋊C4—24no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4—21no—
272C3×C4⋊C4—21no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—42no—
275C3×C4⋊C4C2×D412yes—
276C3×C42—24no—
277C3×C42—21no—
278C3×C42—21no—
279#216—44no—
280(C2×D3)⋊C4—24no—
281(C2×D3)⋊C4—24no—
282(C2×D3)⋊C4—24no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—42no—
286(C2×D3)⋊C4—42no—
287C4⋊Dic3—24no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—42no—
292C4⋊Dic3C2×D412yes—
293Dic3⋊C4—24no—
294Dic3⋊C4—24no—
295Dic3⋊C4—42no—
296C4×Dic3—21no—
297C4×Dic3—21no—
298C4×Dic3—22no—
299C4×Dic3—22no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8#4112yes—
306#204—44no—
307D3×C8—44no—
308D3×C8—44no—
309C22×Q8—31no—
310C22×Q8C22×D311yescharacteristic
311C22×D4—31no—
312C22×D4—61no—
313C23×C4—31no—
314C23×C4—31no—
315C23×C4—31no—
316C23×C4—61no—
317C2×Q16—62no—
318C2×Q16—62no—
319C2×Q16—121no—
320C2×SD16—62no—
321C2×SD16—62no—
322C2×SD16—121no—
323C22×C8—31no—
324C22×C8—31no—
325C22×C8—62no—
326C22×C8—62no—
327C22×C8—62no—
328C22×C8—62no—
329C22×C8—121no—
330C22×C8—121no—
331C22×C8C22×D311yescharacteristic
332C22×C8C22×D311yescharacteristic
333#126—68no—
334#125—62no—
335#125—62no—
336#124—62no—
337#124—62no—
338#123—68no—
339C22⋊Q8—34no—
340C22⋊Q8—62no—
341C22⋊Q8—62no—
342C22⋊Q8—62no—
343#121—34no—
344#121—62no—
345C4×Q8—22no—
346C4×Q8—22no—
347C4×D4—62no—
348C4×D4—62no—
349C4×D4—68no—
350#117—68no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4—61no—
358C2×C4⋊C4—61no—
359C2×C4⋊C4—61no—
360C2×C4⋊C4C22×D311yescharacteristic
361C2×C4⋊C4C22×D311yescharacteristic
362C2×C4⋊C4C22×D311yescharacteristic
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4—61no—
367C2×C22⋊C4—61no—
368C2×C22⋊C4—61no—
369C2×C22⋊C4—61no—
370C2×C42—21no—
371C2×C42—31no—
372C2×C42—31no—
373C2×C42—31no—
374C2×C42—62no—
375C2×C42—62no—
376C2×C42C22×D311yescharacteristic
377#107—62no—
378#106—22no—
379#103—22no—
380#103—22no—
381#103—62no—
382#103—62no—
383#103—121no—
384#102—62no—
385#102—62no—
386#102—121no—
387#95—21no—
388#95—61no—
389#95—61no—
390#95—61no—
391#95—61no—
392#95—61no—
393#95—61no—
394C23×C3C22×D411yescharacteristic
395C22×D3—21no—
396C22×D3—21no—
397C22×D3—21no—
398C22×D3—21no—
399C22×D3—22no—
400C22×D3—41no—
401C22×D3—41no—
402C22×D3—41no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3#12012yes—
407C22×D3#13512yes—
408C22×D3#13712yes—
409C3×Q8—22no—
410C3×Q8—22no—
411C3×Q8—41no—
412C3×Q8—41no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4#13512yes—
431C2×C3×C4C22×D411yescharacteristic
432C2×C3×C4C22×D411yescharacteristic
433C2×C3×C4C2×#4111yescharacteristic
434C2×C3×C4C2×#4111yescharacteristic
435C2×C3×C4H(5,𝔽2)11yescharacteristic
436C2×C3×C42−1+411yescharacteristic
437C2×Dic3—21no—
438C2×Dic3—21no—
439C2×Dic3—21no—
440C2×Dic3—21no—
441C2×Dic3—22no—
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445C2×Dic3—21no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3#12012yes—
455D12—22no—
456D12—22no—
457D12—48no—
458D12—41no—
459D12—41no—
460C4×D3—22no—
461C4×D3—22no—
462C4×D3—22no—
463C4×D3—22no—
464C4×D3—44no—
465C4×D3—48no—
466C4×D3—44no—
467Dic6—41no—
468Dic6—41no—
469Dic6—41no—
470Dic6—41no—
471C3×C8—22no—
472C3×C8—41no—
473C3⋊C8—22no—
474C3⋊C8—41no—
475C24—31no—
476C24—61no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—61no—
487C2×Q8—61no—
488C2×Q8D3×D412yes—
489C2×D4—32no—
490C2×D4—64no—
491C2×D4—61no—
492C2×D4—61no—
493C2×D4—61no—
494C2×D4—61no—
495C2×D4—61no—
496C2×D4—122no—
497C2×D4—122no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—31no—
503C22×C4—32no—
504C22×C4—32no—
505C22×C4—31no—
506C22×C4—31no—
507C22×C4—62no—
508C22×C4—62no—
509C22×C4—62no—
510C22×C4—62no—
511C22×C4—64no—
512C22×C4—61no—
513C22×C4—61no—
514C22×C4—61no—
515C22×C4—61no—
516C22×C4—61no—
517C22×C4—62no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4—121no—
521C22×C4—122no—
522C22×C4—122no—
523C22×C4D3×D411yescharacteristic
524C22×C4D3×D411yescharacteristic
525C22×C4C23×D311yescharacteristic
526Q16—124no—
527SD16—124no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—32no—
534C2×C8—61no—
535C2×C8—61no—
536C2×C8—61no—
537C2×C8—61no—
538C2×C8—61no—
539C2×C8—124no—
540C2×C8—124no—
541C2×C8#23512yes—
542C4⋊C4—24no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—32no—
549C4⋊C4—42no—
550C4⋊C4—64no—
551C4⋊C4—64no—
552C4⋊C4—64no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—122no—
557C4⋊C4—122no—
558C4⋊C4D3×D412yes—
559C22⋊C4—64no—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C22⋊C4—122no—
565C22⋊C4—122no—
566C42—24no—
567C42—21no—
568C42—21no—
569C42—62no—
570C42—62no—
571C42—61no—
572C42—61no—
573C22×C3C2×#12011yescharacteristic
574C22×C3#53211yescharacteristic
575C22×C3#53711yescharacteristic
576C22×C3C2×#13511yescharacteristic
577C22×C3C2×#13511yescharacteristic
578C22×C3C2×#13711yescharacteristic
579C22×C3#57511yescharacteristic
580C2×D3—22no—
581C2×D3—22no—
582C2×D3—22no—
583C2×D3—22no—
584C2×D3—22no—
585C2×D3—22no—
586C2×D3—42no—
587C2×D3—42no—
588C2×D3—42no—
589C2×D3—81no—
590C2×D3—81no—
591C2×D3—81no—
592C2×D3—81no—
593C2×D3#45214yes—
594C3×C4—22no—
595C3×C4—42no—
596C3×C4—41no—
597C3×C4—42no—
598C3×C4—81no—
599C3×C4—81no—
600C3×C4#54611yescharacteristic
601C3×C4#54611yescharacteristic
602C3×C4#54711yescharacteristic
603C3×C4#54711yescharacteristic
604Dic3—22no—
605Dic3—41no—
606Dic3—41no—
607Dic3—42no—
608Dic3—81no—
609Dic3—81no—
610C23—32no—
611C23—32no—
612C23—32no—
613C23—61no—
614C23—61no—
615C23—61no—
616C23—61no—
617C23—62no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23—121no—
624C23C2×D3×D411yescharacteristic
625Q8—22no—
626Q8—22no—
627Q8—41no—
628Q8—41no—
629Q8—121no—
630Q8—121no—
631Q8—121no—
632Q8—121no—
633D4—62no—
634D4—62no—
635D4—128no—
636D4—121no—
637D4—121no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—32no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—62no—
669C2×C4—124no—
670C2×C4—128no—
671C2×C4—124no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4#91612yes—
681C2×C4C2×#23511yescharacteristic
682C2×C4C2×D3×D411yescharacteristic
683C2×C4C2×D3×D411yescharacteristic
684C2×C4#100711yescharacteristic
685C2×C4D3×#4111yescharacteristic
686C2×C4#100911yescharacteristic
687C8—22no—
688C8—41no—
689C8—62no—
690C8—121no—
691C2×C3#243011yescharacteristic
692C2×C3C2×#45211yescharacteristic
693C2×C3#300211yescharacteristic
694C2×C3#316811yescharacteristic
695C2×C3#318111yescharacteristic
696C2×C3#324811yescharacteristic
697C2×C3#325011yescharacteristic
698D3—24no—
699D3—82no—
700C22—34no—
701C22—62no—
702C22—62no—
703C22—62no—
704C22—62no—
705C22—62no—
706C22—62no—
707C22—122no—
708C22—122no—
709C22—122no—
710C22—241no—
711C22—241no—
712C22—241no—
713C22—241no—
714C22#554811yescharacteristic
715C22D3×#12011yescharacteristic
716C22#562911yescharacteristic
717C22C2×#91611yescharacteristic
718C22D3×#13511yescharacteristic
719C22D3×#13711yescharacteristic
720C22#577711yescharacteristic
721C4—22no—
722C4—41no—
723C4—42no—
724C4—42no—
725C4—62no—
726C4—81no—
727C4—81no—
728C4—121no—
729C4—121no—
730C4—122no—
731C4—241no—
732C4—241no—
733C4#550711yescharacteristic
734C4#555011yescharacteristic
735C4#563111yescharacteristic
736C4#565411yescharacteristic
737C3#2549911yescharacteristic, complemented, Sylow
738C2—64no—
739C2—242no—
740C2#7460611yescharacteristic
741C2#7966311yescharacteristic
742C2#7983711yescharacteristic
743C2#8003811yescharacteristic
744C2D3×#45211yescharacteristic
745C2#8103411yescharacteristic
746C2#8126111yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1865C2
socleC23×C3C22×D4
prime radicalC2×#895C22
hypercenter#1865D3
hypocenterC3#25499
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1865

Complements

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

NH ≅ G/Ntype
3. C2×#4813C2semidirect
4. #76287C2semidirect
5. C3×#1865C2semidirect
6. #71632C2semidirect
7. #70566C2semidirect
8. #70279C2semidirect
9. #70278C2semidirect
10. #70270C2semidirect
11. #69625C2semidirect
12. #68911C2semidirect
14. #68672C2semidirect
15. D3×#336C2semidirect
76. #1865D3semidirect
737. C3#25499semidirect

Maximal subgroups

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

subgroupindex
C2×#55802
C2×#48642
C2×#48132
#762872
C3×#18652
#716322
#705662
#702792
#702782
#702702
#696252
#689112
#688832
#686722
D3×#3362
#254993