Finite Group Databasebeta

← #10833985

Subgroups — #10833985

Order 768.

986 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#82186C211yesmaximal, characteristic, complemented
2C2×#4734C211yesmaximal, characteristic
3C2×#4720C211yesmaximal, characteristic, complemented
4#74033C211yesmaximal, characteristic, complemented
5C3×#1852C211yesmaximal, characteristic, complemented
6#71560C211yesmaximal, characteristic, complemented
7#70643C211yesmaximal, characteristic, complemented
8#70639C211yesmaximal, characteristic, complemented
9#70629C211yesmaximal, characteristic, complemented
10#70628C211yesmaximal, characteristic, complemented
11#69522C211yesmaximal, characteristic, complemented
12#68863C211yesmaximal, characteristic, complemented
13#68862C211yesmaximal, characteristic, complemented
14#68857C211yesmaximal, characteristic, complemented
15#68851C211yesmaximal, characteristic, complemented
16#24513—31nomaximal, Sylow
17C22×#235C2211yescharacteristic
18C22×C3×C4⋊C4C2211yescharacteristic
19C2×#930C2211yescharacteristic
20C2×#926C2211yescharacteristic
21C22×D24C2211yescharacteristic
22C22×#204C2211yescharacteristic
23C2×C3×#107C2211yescharacteristic
24C2×C3×#107C2211yescharacteristic
25C2×C3×C22⋊C8C2211yescharacteristic
26C3×#380C2211yescharacteristic
27#5213—21no—
28#5213—21no—
29C2×#830C2211yescharacteristic
30C2×#821C2211yescharacteristic
31C2×#816C2211yescharacteristic
32C2×#815C2211yescharacteristic
33C2×Dic3⋊C8C2211yescharacteristic
34C2×Dic3⋊C8C2211yescharacteristic
35C2×C8×Dic3C2211yescharacteristic
36#4988C2211yescharacteristic
37#4988C2211yescharacteristic
38#4988C2211yescharacteristic
39#4988C2211yescharacteristic
40#4987—21no—
41#4987—21no—
42#4984C2211yescharacteristic
43#4984C2211yescharacteristic
44#4973C2211yescharacteristic
45#4973C2211yescharacteristic
46C2×#810C2211yescharacteristic
47C2×#810C2211yescharacteristic
48C2×#809C2211yescharacteristic
49C2×#809C2211yescharacteristic
50C2×#809C2211yescharacteristic
51C2×#809C2211yescharacteristic
52#4961—21no—
53#4961—21no—
54#4734—24no—
55#4720—24no—
56#4677—21no—
57#4674—21no—
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62C2×#449—31no—
63C2×#433—31no—
64#2624—31no—
65#2311—31no—
66#2068—31no—
67#2067—31no—
68#2055—31no—
69#2054—31no—
70#1973—31no—
71#1970—31no—
72#1936—31no—
73#1933—31no—
74#1874—31no—
75#1852D311yescharacteristic, complemented
76#1788—31no—
77C23×C3×C4—21no—
78C23×C3×C4C2311yescharacteristic
79C22×#67—21no—
80C22×#67—21no—
81C2×#235—22no—
82C2×#235—22no—
83C2×#235—22no—
84C2×#235—22no—
85C2×#235—41no—
86C2×#235—41no—
87C22×D12C2311yescharacteristic
88C22×D12C2311yescharacteristic
89C22×C4×D3—21no—
90C22×Dic6C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—41no—
95C2×C3×C4⋊C4—41no—
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C22⋊C4—21no—
101C2×#217D411yescharacteristic
102C2×#217D411yescharacteristic
103#930—22no—
104#930—22no—
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×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114#926—22no—
115#926—22no—
116C2×C4⋊Dic3—21no—
117C2×C4⋊Dic3—21no—
118C2×C4⋊Dic3D411yescharacteristic
119C2×C4⋊Dic3D411yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4×Dic3C2311yescharacteristic
122C2×C4×Dic3C2311yescharacteristic
123C22×C3⋊C8C2311yescharacteristic
124C22×C3⋊C8C2311yescharacteristic
125C2×D24—22no—
126C2×D24—22no—
127C2×D24—41no—
128C2×#204—22no—
129C2×#204—22no—
130C2×#204—41no—
131C3×#107—41no—
132C3×#107—41no—
133C3×C22⋊C8D414yes—
134C3×#95—21no—
135C3⋊#95—21no—
136C3⋊#95—21no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141#830—22no—
142#821—22no—
143#816—22no—
144#815—22no—
145Dic3⋊C8—22no—
146Dic3⋊C8—22no—
147C8×Dic3—22no—
148#810—22no—
149#810—41no—
150#809—22no—
151#809—41no—
152#809—41no—
153#809—41no—
154C22×#41—31no—
155C22×SD16—31no—
156C22×D8—31no—
157C2×#121—31no—
158C2×#117—31no—
159C22×C4⋊C4C2×D311yescharacteristic
160#449—64no—
161#433—64no—
162C2×#107C2×D311yescharacteristic
163C2×#107C2×D311yescharacteristic
164C2×C4⋊C8—31no—
165C2×C4⋊C8—31no—
166C2×#103—31no—
167C2×#103—31no—
168C2×#103—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102—31no—
174C2×C22⋊C8—31no—
175C2×C22⋊C8C2×D311yescharacteristic
176C2×#97—31no—
177C2×C4×C8—31no—
178#399—61no—
179#397—61no—
180#394—61no—
181#394—61no—
182#391—31no—
183#391—31no—
184#390—31no—
185#390—31no—
186#390—31no—
187#390—31no—
188#389—31no—
189#389—31no—
190#386—61no—
191#386—61no—
192#380—61no—
193#380—61no—
194#380C2×D311yescharacteristic
195#340—31no—
196#340—31no—
197#340C2×D311yescharacteristic
198#340C2×D311yescharacteristic
199C24×C3C2×D411yescharacteristic
200C23×D3—21no—
201C23×D3—21no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—42no—
211C22×C3×C4—81no—
212C22×C3×C4—81no—
213C22×C3×C4C2×D412yes—
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4#4112yes—
216C22×C3×C4C2411yescharacteristic
217C2×#67—24no—
218C2×#67—42no—
219C2×#67—42no—
220C2×#67—42no—
221C2×#67—81no—
222C2×#67—81no—
223C22×Dic3—21no—
224C22×Dic3—21no—
225C22×Dic3C2×D411yescharacteristic
226C22×Dic3C2×D411yescharacteristic
227C22×Dic3C2×D411yescharacteristic
228C22×Dic3C2×D411yescharacteristic
229#235—44no—
230#235—44no—
231#235—44no—
232#235—44no—
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12—21no—
244C2×D12#4112yes—
245C2×C4×D3—24no—
246C2×C4×D3—42no—
247C2×C4×D3—42no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6#4112yes—
254C2×C3×C8—21no—
255C2×C3×C8—21no—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C2×C3×C8C2×D412yes—
259C2×C3×C8C2×D412yes—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—42no—
269C3×C22⋊C4—81no—
270#217—22no—
271#217—22no—
272(C2×D3)⋊C4—42no—
273(C2×D3)⋊C4—81no—
274(C2×D3)⋊C4—81no—
275(C2×D3)⋊C4—81no—
276(C2×D3)⋊C4—81no—
277(C2×D3)⋊C4—81no—
278(C2×D3)⋊C4—81no—
279(C2×D3)⋊C4—81no—
280(C2×D3)⋊C4—81no—
281C4⋊Dic3—22no—
282C4⋊Dic3—22no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—81no—
286C4⋊Dic3—81no—
287C4×Dic3—21no—
288C4×Dic3—21no—
289C4×Dic3—21no—
290C4×Dic3—21no—
291C2×C3⋊C8—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297D24—44no—
298#204—44no—
299C2×#41—62no—
300C2×#41—62no—
301C2×#41—62no—
302C2×#41—62no—
303C2×#41—121no—
304C2×#41—121no—
305C22×Q8—31no—
306C22×D4—31no—
307C22×D4—31no—
308C22×D4—61no—
309C22×D4—61no—
310C23×C4—21no—
311C23×C4—61no—
312C23×C4C22×D311yescharacteristic
313C2×SD16—62no—
314C2×SD16—62no—
315C2×SD16—121no—
316C2×D8—62no—
317C2×D8—62no—
318C2×D8—121no—
319C22×C8—31no—
320C22×C8—31no—
321C22×C8C22×D311yescharacteristic
322C22×C8C22×D311yescharacteristic
323#121—62no—
324#121—62no—
325#117—62no—
326#117—62no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—31no—
331C2×C4⋊C4—41no—
332C2×C4⋊C4—41no—
333C2×C4⋊C4—61no—
334C2×C4⋊C4—61no—
335C2×C4⋊C4C22×D311yescharacteristic
336C2×C4⋊C4C22×D311yescharacteristic
337C2×C4⋊C4C22×D311yescharacteristic
338C2×C4⋊C4C22×D311yescharacteristic
339C2×C22⋊C4—21no—
340C2×C22⋊C4—31no—
341C2×C22⋊C4—31no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4—61no—
344C2×C22⋊C4—61no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4—61no—
347C2×C22⋊C4—61no—
348C2×C22⋊C4—61no—
349C2×C22⋊C4—61no—
350C2×C22⋊C4—61no—
351C2×C42—31no—
352C2×C42—31no—
353#107—41no—
354#107—41no—
355C4⋊C8—62no—
356C4⋊C8—62no—
357#103—62no—
358#103—62no—
359#103—121no—
360#102—62no—
361#102—62no—
362#102—121no—
363#102—121no—
364#102—121no—
365C22⋊C8—62no—
366C22⋊C8D1214yes—
367#97—62no—
368C4×C8—62no—
369#95—21no—
370#95—61no—
371#95—61no—
372#95—61no—
373#95—61no—
374#95—61no—
375#95—61no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3#12112yes—
383C23×C3C22×D411yescharacteristic
384C22×D3—22no—
385C22×D3—41no—
386C22×D3—41no—
387C22×D3—41no—
388C22×D3—41no—
389C22×D3—41no—
390C22×D3—41no—
391C22×D3—41no—
392C22×D3—41no—
393C22×D3—41no—
394C22×D3—41no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3—41no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—84no—
417C2×C3×C4#12112yes—
418C2×C3×C4C22×D411yescharacteristic
419C2×C3×C4C2×#4111yescharacteristic
420C2×C3×C4C2×#4111yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×C3×C4H(5,𝔽2)11yescharacteristic
423C2×C3×C4H(5,𝔽2)11yescharacteristic
424#67—48no—
425#67—84no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—21no—
430C2×Dic3—22no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—21no—
436C2×Dic3—21no—
437C2×Dic3—21no—
438C2×Dic3—21no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444D12—22no—
445D12—22no—
446D12—41no—
447D12—41no—
448D12—41no—
449D12—41no—
450D12—41no—
451D12—41no—
452C4×D3—48no—
453Dic6—22no—
454Dic6—22no—
455Dic6—41no—
456Dic6—41no—
457C3×C8—22no—
458C3×C8—22no—
459C3⋊C8—41no—
460C3⋊C8—41no—
461C24—61no—
462C24—61no—
463C24D3×D411yescharacteristic
464#41—124no—
465#41—124no—
466#41—124no—
467#41—124no—
468C2×Q8—32no—
469C2×Q8—61no—
470C2×Q8—61no—
471C2×Q8—61no—
472C2×Q8—61no—
473C2×Q8—61no—
474C2×D4—32no—
475C2×D4—64no—
476C2×D4—61no—
477C2×D4—61no—
478C2×D4—61no—
479C2×D4—61no—
480C2×D4—61no—
481C2×D4—61no—
482C2×D4—61no—
483C2×D4—61no—
484C2×D4—61no—
485C2×D4—61no—
486C2×D4—61no—
487C2×D4—122no—
488C2×D4—122no—
489C2×D4—122no—
490C2×D4—241no—
491C2×D4—241no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—31no—
501C22×C4—31no—
502C22×C4—31no—
503C22×C4—31no—
504C22×C4—42no—
505C22×C4—64no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—122no—
511C22×C4—122no—
512C22×C4C2×D1212yes—
513C22×C4D3×D411yescharacteristic
514C22×C4#23912yes—
515C22×C4C23×D311yescharacteristic
516SD16—124no—
517D8—124no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—61no—
523C2×C8—61no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8C2×D1212yes—
529C2×C8C2×D1212yes—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—42no—
539C4⋊C4—62no—
540C4⋊C4—62no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—241no—
544C4⋊C4—241no—
545C22⋊C4—62no—
546C22⋊C4—62no—
547C22⋊C4—81no—
548C22⋊C4—122no—
549C22⋊C4—241no—
550C22⋊C4—241no—
551C22⋊C4—241no—
552C22⋊C4—241no—
553C22⋊C4—241no—
554C22⋊C4—241no—
555C22⋊C4—241no—
556C22⋊C4—241no—
557C42—61no—
558C42—61no—
559C42—61no—
560C42—61no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—22no—
564C22×C3—41no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3C2×#12111yescharacteristic
569C22×C3#52511yescharacteristic
570C22×C3#53511yescharacteristic
571C22×C3#57611yescharacteristic
572C22×C3#57611yescharacteristic
573C22×C3#57711yescharacteristic
574C22×C3#57811yescharacteristic
575C2×D3—42no—
576C2×D3—42no—
577C2×D3—42no—
578C2×D3—81no—
579C2×D3—81no—
580C2×D3—81no—
581C2×D3—81no—
582C2×D3—81no—
583C2×D3—81no—
584C2×D3—81no—
585C2×D3—81no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C3×C4—22no—
590C3×C4—81no—
591C3×C4—81no—
592C3×C4—81no—
593C3×C4—81no—
594C3×C4#54611yescharacteristic
595C3×C4#54611yescharacteristic
596C3×C4#55111yescharacteristic
597C3×C4#55111yescharacteristic
598Dic3—42no—
599Dic3—41no—
600Dic3—41no—
601Dic3—41no—
602Dic3—41no—
603Dic3—81no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—62no—
611C23—121no—
612C23—121no—
613C23—121no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23—121no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23—121no—
624C23#89512yes—
625C23C2×D3×D411yescharacteristic
626Q8—62no—
627Q8—62no—
628Q8—121no—
629Q8—121no—
630D4—62no—
631D4—62no—
632D4—128no—
633D4—121no—
634D4—121no—
635D4—121no—
636D4—121no—
637D4—121no—
638D4—121no—
639D4—244no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
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—41no—
657C2×C4—41no—
658C2×C4—62no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—84no—
672C2×C4—128no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4#89512yes—
679C2×C4C22×D1211yescharacteristic
680C2×C4#100411yescharacteristic
681C2×C4#100411yescharacteristic
682C2×C4C2×#23911yescharacteristic
683C2×C4D3×#4111yescharacteristic
684C2×C4D3×#4111yescharacteristic
685C8—22no—
686C8—22no—
687C8—121no—
688C8—121no—
689C2×C3—42no—
690C2×C3#241111yescharacteristic
691C2×C3#306111yescharacteristic
692C2×C3#306211yescharacteristic
693C2×C3#311911yescharacteristic
694C2×C3#312411yescharacteristic
695C2×C3#322011yescharacteristic
696C2×C3#322511yescharacteristic
697D3—82no—
698D3—161no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—122no—
707C22—122no—
708C22—122no—
709C22—241no—
710C22—241no—
711C22—241no—
712C22—241no—
713C22—241no—
714C22—241no—
715C22—241no—
716C22—241no—
717C22—241no—
718C22—241no—
719C22—241no—
720C22C2×#89511yescharacteristic
721C22#559211yescharacteristic
722C22#565611yescharacteristic
723C22#575711yescharacteristic
724C22#576611yescharacteristic
725C22#577411yescharacteristic
726C22#577811yescharacteristic
727C4—22no—
728C4—81no—
729C4—81no—
730C4—81no—
731C4—81no—
732C4—121no—
733C4—121no—
734C4—122no—
735C4—121no—
736C4—121no—
737C4—241no—
738C4#555411yescharacteristic
739C4#555411yescharacteristic
740C4#563711yescharacteristic
741C4#563711yescharacteristic
742C3#2451311yescharacteristic, complemented, Sylow
743C2—42no—
744C2—242no—
745C2—481no—
746C2#7460211yescharacteristic
747C2#7915011yescharacteristic
748C2#7921311yescharacteristic
749C2#7999811yescharacteristic
750C2#8020311yescharacteristic
751C2#8127211yescharacteristic
752C2#8145711yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1852C2
socleC23×C3C22×D4
prime radicalC2×#4734C2
hypercenter#1852D3
hypocenterC3#24513
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
1. #82186C2semidirect
3. C2×#4720C2semidirect
4. #74033C2semidirect
5. C3×#1852C2semidirect
6. #71560C2semidirect
7. #70643C2semidirect
8. #70639C2semidirect
9. #70629C2semidirect
10. #70628C2semidirect
11. #69522C2semidirect
12. #68863C2semidirect
13. #68862C2semidirect
14. #68857C2semidirect
15. #68851C2semidirect
75. #1852D3semidirect
742. C3#24513semidirect

Maximal subgroups

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

subgroupindex
#821862
C2×#47342
C2×#47202
#740332
C3×#18522
#715602
#706432
#706392
#706292
#706282
#695222
#688632
#688622
#688572
#688512
#245133