Finite Group Databasebeta

← #7589589

Subgroups — #7589589

Order 512.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45074C211yesmaximal, characteristic, complemented
2#35713C211yesmaximal, characteristic, complemented
3#32309C211yesmaximal, characteristic, complemented
4#31995C211yesmaximal, characteristic, complemented
5#31850C211yesmaximal, characteristic, complemented
6#31790C211yesmaximal, characteristic, complemented
7#29484C211yesmaximal, characteristic, complemented
8#29469C211yesmaximal, characteristic, complemented
9#29028C211yesmaximal, characteristic, complemented
10#28890C211yesmaximal, characteristic, complemented
11#27568C211yesmaximal, characteristic, complemented
12#27534C211yesmaximal, characteristic, complemented
13#27325C211yesmaximal, characteristic, complemented
14#27163C211yesmaximal, characteristic, complemented
15#26977C211yesmaximal, characteristic, complemented
16#26656C211yesmaximal, characteristic, complemented
17#26601C211yesmaximal, characteristic, complemented
18#26178C211yesmaximal, characteristic, complemented
19#25168C211yesmaximal, characteristic, complemented
20#25148C211yesmaximal, characteristic, complemented
21#25042C211yesmaximal, characteristic, complemented
22#24897C211yesmaximal, characteristic, complemented
23#24424C211yesmaximal, characteristic, complemented
24#24248C211yesmaximal, characteristic, complemented
25#23297C211yesmaximal, characteristic, complemented
26#23008C211yesmaximal, characteristic, complemented
27#22858C211yesmaximal, characteristic, complemented
28#22676C211yesmaximal, characteristic, complemented
29#22562C211yesmaximal, characteristic, complemented
30#21458C211yesmaximal, characteristic, complemented
31#21458C211yesmaximal, characteristic, complemented
32C2×D42C2211yescharacteristic
33C2×#518C2211yescharacteristic
34C2×#466C2211yescharacteristic
35C2×#459C2211yescharacteristic
36C2×#459C2211yescharacteristic
37C2×#447C2211yescharacteristic
38C2×#447C2211yescharacteristic
39C2×#447C2211yescharacteristic
40C2×#447C2211yescharacteristic
41C2×#442C2211yescharacteristic
42C2×#442C2211yescharacteristic
43C2×#442C2211yescharacteristic, complemented
44C2×#442C2211yescharacteristic, complemented
45C2×C4×D8C2211yescharacteristic
46C2×C4×D8C2211yescharacteristic
47C22×#102C2211yescharacteristic
48#2797—21no—
49#2757—21no—
50#2750—21no—
51#2688—21no—
52#2624C2211yescharacteristic
53#2622—21no—
54#2598—21no—
55#2535C2211yescharacteristic
56#2513C2211yescharacteristic, complemented
57#2509C2211yescharacteristic, complemented
58#2500C2211yescharacteristic
59#2495C2211yescharacteristic, complemented
60#2485C2211yescharacteristic
61#2445C2211yescharacteristic
62#2445C2211yescharacteristic
63#2444—21no—
64#2444—21no—
65#2444—21no—
66#2443—21no—
67#2428C2211yescharacteristic, complemented
68#2428C2211yescharacteristic, complemented
69#2422C2211yescharacteristic
70#2420C2211yescharacteristic
71#2420C2211yescharacteristic, complemented
72#2418—21no—
73#2418—21no—
74#2416C2211yescharacteristic
75#2414—21no—
76#2412—21no—
77#2405—21no—
78#2395C2211yescharacteristic
79C2×#394—21no—
80#2366C2211yescharacteristic, complemented
81#2361C2211yescharacteristic, complemented
82#2349C2211yescharacteristic
83#2349C2211yescharacteristic, complemented
84D4×C4⋊C4C2211yescharacteristic
85#2344C2211yescharacteristic, complemented
86D4×C22⋊C4C2211yescharacteristic
87D4×C22⋊C4C2211yescharacteristic
88D4×C22⋊C4C2211yescharacteristic
89#2324C2211yescharacteristic, complemented
90#2324C2211yescharacteristic, complemented
91#2101C2211yescharacteristic, complemented
92#2101C2211yescharacteristic, complemented
93#2099C2211yescharacteristic, complemented
94#2092C2211yescharacteristic, complemented
95#2088C2211yescharacteristic, complemented
96#2085C2211yescharacteristic, complemented
97#2085C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2076C2211yescharacteristic, complemented
100#2075C2211yescharacteristic, complemented
101#2073C2211yescharacteristic, complemented
102#2071C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2067C2211yescharacteristic, complemented
105#2065C2211yescharacteristic, complemented
106#2065C2211yescharacteristic, complemented
107#2054C2211yescharacteristic, complemented
108#2041C2211yescharacteristic
109#2034C2211yescharacteristic
110#2034C2211yescharacteristic
111#2034C2211yescharacteristic, complemented
112#2034C2211yescharacteristic, complemented
113#2034C2211yescharacteristic, complemented
114#2033C2211yescharacteristic
115#2033C2211yescharacteristic, complemented
116#2033C2211yescharacteristic, complemented
117#2011C2211yescharacteristic
118#2011C2211yescharacteristic, complemented
119#2011C2211yescharacteristic, complemented
120#1999C2211yescharacteristic
121#1999C2211yescharacteristic
122#1999C2211yescharacteristic
123#1972C2211yescharacteristic, complemented
124#1972C2211yescharacteristic, complemented
125#1970C2211yescharacteristic, complemented
126#1961C2211yescharacteristic
127#1961C2211yescharacteristic, complemented
128#1955C2211yescharacteristic
129#1949C2211yescharacteristic, complemented
130#1944C2211yescharacteristic, complemented
131#1944C2211yescharacteristic, complemented
132#1941C2211yescharacteristic, complemented
133#1936C2211yescharacteristic, complemented
134#1936C2211yescharacteristic, complemented
135#1936C2211yescharacteristic, complemented
136#1936C2211yescharacteristic, complemented
137#1936C2211yescharacteristic, complemented
138#1936C2211yescharacteristic, complemented
139#1934C2211yescharacteristic, complemented
140#1934C2211yescharacteristic, complemented
141#1926C2211yescharacteristic, complemented
142#1926C2211yescharacteristic, complemented
143#1926C2211yescharacteristic, complemented
144#1926C2211yescharacteristic, complemented
145#1924C2211yescharacteristic, complemented
146#1924C2211yescharacteristic, complemented
147#1923C2211yescharacteristic, complemented
148#1923C2211yescharacteristic, complemented
149#1920C2211yescharacteristic, complemented
150#1918C2211yescharacteristic, complemented
151#1917C2211yescharacteristic, complemented
152#1917C2211yescharacteristic, complemented
153#1893C2211yescharacteristic, complemented
154#1879C2211yescharacteristic
155#1879C2211yescharacteristic
156#1879C2211yescharacteristic
157#1879C2211yescharacteristic
158#1879C2211yescharacteristic, complemented
159#1879C2211yescharacteristic, complemented
160#1879C2211yescharacteristic, complemented
161#1879C2211yescharacteristic, complemented
162#1879C2211yescharacteristic, complemented
163#1879C2211yescharacteristic, complemented
164#1875C2211yescharacteristic, complemented
165#1875C2211yescharacteristic, complemented
166#1874C2211yescharacteristic
167#1869C2211yescharacteristic
168#1864C2211yescharacteristic
169#1864C2211yescharacteristic
170#1864C2211yescharacteristic
171#1864C2211yescharacteristic
172#1864C2211yescharacteristic, complemented
173#1864C2211yescharacteristic, complemented
174#1862C2211yescharacteristic
175#1862C2211yescharacteristic
176#1862C2211yescharacteristic, complemented
177#1862C2211yescharacteristic, complemented
178#1862C2211yescharacteristic, complemented
179#1862C2211yescharacteristic, complemented
180#1854C2211yescharacteristic, complemented
181#1854C2211yescharacteristic, complemented
182#1853C2211yescharacteristic, complemented
183#1847C2211yescharacteristic, complemented
184#1823C2211yescharacteristic, complemented
185#1807C2211yescharacteristic, complemented
186#1804C2211yescharacteristic
187#1804C2211yescharacteristic
188#1802C2211yescharacteristic, complemented
189#1786C2211yescharacteristic
190#1786C2211yescharacteristic
191#1786C2211yescharacteristic
192#1771C2211yescharacteristic, complemented
193#1771C2211yescharacteristic, complemented
194#1762C2211yescharacteristic
195#1762C2211yescharacteristic
196#1762C2211yescharacteristic
197C4×#102C2211yescharacteristic, complemented
198C4×#102C2211yescharacteristic, complemented
199#1752C2211yescharacteristic, complemented
200#1752C2211yescharacteristic, complemented
201#1750C2211yescharacteristic, complemented
202#1750C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×D8C2311yescharacteristic
207C22×D8C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C23×C8C2311yescharacteristic
213D42—42no—
214D42—42no—
215C2×#127C2311yescharacteristic
216C2×#127C2311yescharacteristic
217C2×#123—21no—
218C2×#123—21no—
219C2×#123—21no—
220C2×#121—21no—
221C2×#121—21no—
222C2×#121—21no—
223C2×#121—21no—
224C2×#121C2311yescharacteristic
225C2×#121C2311yescharacteristic
226C2×#121C2311yescharacteristic
227C2×#121C2311yescharacteristic
228C2×#121C2311yescharacteristic
229C2×#121C2311yescharacteristic
230C2×#120—21no—
231C2×#120—21no—
232#518—42no—
233#518—42no—
234C2×C4×D4—21no—
235C2×C4×D4—21no—
236C2×C4×D4—21no—
237C2×C4×D4—21no—
238C2×C4×D4C2311yescharacteristic
239C2×C4×D4C2311yescharacteristic
240C2×C4×D4C2311yescharacteristic
241C2×C4×D4C2311yescharacteristic
242C2×C4×D4C2311yescharacteristic
243C2×C4×D4C2311yescharacteristic
244C2×C4×D4C2311yescharacteristic
245C2×C4×D4C2311yescharacteristic
246C2×C4×D4C2311yescharacteristic
247C2×C4×D4C2311yescharacteristic
248C2×C4×D4C2311yescharacteristic
249C2×C4×D4C2311yescharacteristic
250C2×#117—21no—
251C2×#117C2311yescharacteristic
252C2×#117C2311yescharacteristic
253C22×C4⋊C4—21no—
254C22×C4⋊C4C2311yescharacteristic
255C22×C22⋊C4—21no—
256C22×C22⋊C4—21no—
257C22×C22⋊C4—21no—
258C22×C22⋊C4—21no—
259C22×C22⋊C4—21no—
260#466—42no—
261#459—24no—
262#459—42no—
263#447—24no—
264#447—24no—
265#447—24no—
266#447—42no—
267#442—24no—
268#442—42no—
269#442—42no—
270#442—42no—
271C4×D8—42no—
272C4×D8—42no—
273C2×#107C2311yescharacteristic
274C2×#107C2311yescharacteristic
275C2×#107C2311yescharacteristic
276C2×#107C2311yescharacteristic
277C2×#106C2311yescharacteristic
278C2×#106C2311yescharacteristic
279C2×#106C2311yescharacteristic
280C2×#106C2311yescharacteristic
281C2×#106C2311yescharacteristic
282C2×#106C2311yescharacteristic
283C2×C4⋊C8C2311yescharacteristic
284C2×C4⋊C8C2311yescharacteristic
285C2×C4⋊C8C2311yescharacteristic
286C2×#102—24no—
287C2×#102C2311yescharacteristic
288C2×#102C2311yescharacteristic
289C2×#102C2311yescharacteristic
290C2×#102C2311yescharacteristic
291C2×#102C2311yescharacteristic
292C2×#102C2311yescharacteristic
293C2×#102C2311yescharacteristic
294C2×#102C2311yescharacteristic
295C2×#102C2311yescharacteristic
296C2×#102C2311yescharacteristic
297C2×#102C2311yescharacteristic
298C2×#102C2311yescharacteristic
299C2×#102C2311yescharacteristic
300C2×#102C2311yescharacteristic
301C2×#102C2311yescharacteristic
302C2×#102C2311yescharacteristic
303C2×#102C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×C22⋊C8C2311yescharacteristic
316C2×C22⋊C8C2311yescharacteristic
317C2×C22⋊C8C2311yescharacteristic
318C2×C22⋊C8C2311yescharacteristic
319C2×C22⋊C8C2311yescharacteristic
320C2×C22⋊C8C2311yescharacteristic
321C2×C22⋊C8C2311yescharacteristic
322C2×#97C2311yescharacteristic
323C2×#97C2311yescharacteristic
324C2×#97C2311yescharacteristic
325C2×#97C2311yescharacteristic
326C2×#97C2311yescharacteristic
327C2×C4×C8C2311yescharacteristic
328C2×C4×C8C2311yescharacteristic
329#400—21no—
330#400—21no—
331#400—21no—
332#400D411yescharacteristic
333#399—21no—
334#399D411yescharacteristic
335#398D411yescharacteristic
336#397—21no—
337#397—21no—
338#397—21no—
339#397—21no—
340#397—21no—
341#397—21no—
342#397—21no—
343#397—21no—
344#397—21no—
345#397D411yescharacteristic
346#397D411yescharacteristic
347#397D411yescharacteristic
348#396—21no—
349#394—21no—
350#394—21no—
351#394—21no—
352#394—21no—
353#394—21no—
354#394—21no—
355#394—21no—
356#394—21no—
357#394—21no—
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394D411yescharacteristic
365#394D411yescharacteristic
366#392—21no—
367#392—21no—
368#392—21no—
369#390—21no—
370#390—21no—
371#390—21no—
372#390C2311yescharacteristic
373#390C2311yescharacteristic
374#390C2311yescharacteristic
375#390C2311yescharacteristic
376#390C2311yescharacteristic
377#390C2311yescharacteristic
378#390C2311yescharacteristic
379#390C2311yescharacteristic
380#390C2311yescharacteristic
381#390C2311yescharacteristic
382#389—21no—
383#389C2311yescharacteristic
384#389C2311yescharacteristic
385#389C2311yescharacteristic
386#389C2311yescharacteristic
387#389C2311yescharacteristic
388#389C2311yescharacteristic
389#389C2311yescharacteristic
390#389C2311yescharacteristic
391#389C2311yescharacteristic
392#389C2311yescharacteristic
393#388—21no—
394#388—21no—
395#388—21no—
396#388—21no—
397#388—21no—
398#388—21no—
399#388—21no—
400#388—21no—
401#388—21no—
402#387—21no—
403#387—21no—
404#387—21no—
405#387—21no—
406#386—21no—
407#386—21no—
408#386—21no—
409#386—21no—
410#386—21no—
411#386—21no—
412#386—21no—
413#386—21no—
414#386—21no—
415#386—21no—
416#386—21no—
417#386—21no—
418#386—21no—
419#386—21no—
420#386—21no—
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#385—21no—
427#385—21no—
428#385—21no—
429#385—21no—
430#385—21no—
431#385—21no—
432#385—21no—
433#385—21no—
434#385—21no—
435#385—21no—
436#384C2311yescharacteristic
437#383—21no—
438#382C2311yescharacteristic
439#382C2311yescharacteristic
440#382C2311yescharacteristic
441#381—21no—
442#381—21no—
443#381—21no—
444#380—21no—
445#380—21no—
446#380—21no—
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#379—21no—
454#379—21no—
455#379—21no—
456C4×C4⋊C4C2311yescharacteristic
457C4×C4⋊C4C2311yescharacteristic
458C4×C4⋊C4C2311yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C4⋊C4C2311yescharacteristic
461C4×C22⋊C4C2311yescharacteristic
462C4×C22⋊C4C2311yescharacteristic
463C4×C22⋊C4C2311yescharacteristic
464C2×#95—21no—
465C2×#95—21no—
466#340C2311yescharacteristic
467#340C2311yescharacteristic
468#340C2311yescharacteristic
469#340C2311yescharacteristic
470#340C2311yescharacteristic
471#340C2311yescharacteristic
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496C25—21no—
497C25—21no—
498C22×D4—22no—
499C22×D4—22no—
500C22×D4—22no—
501C22×D4—22no—
502C22×D4—22no—
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—21no—
506C22×D4—21no—
507C22×D4—21no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—41no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—41no—
521C22×D4—41no—
522C22×D4—44no—
523C22×D4—82no—
524C22×D4—82no—
525C22×D4C2×D411yescharacteristic
526C22×D4C2411yescharacteristic
527C22×D4C2411yescharacteristic
528C22×D4C2411yescharacteristic
529C22×D4C2411yescharacteristic
530C22×D4C2411yescharacteristic
531C23×C4—21no—
532C23×C4—21no—
533C23×C4—21no—
534C23×C4—21no—
535C23×C4—21no—
536C23×C4—21no—
537C23×C4—21no—
538C23×C4—21no—
539C23×C4—21no—
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—21no—
543C23×C4C2411yescharacteristic
544C23×C4C2411yescharacteristic
545C2×D8—22no—
546C2×D8—22no—
547C2×D8—22no—
548C2×D8—22no—
549C2×D8—22no—
550C2×D8—22no—
551C2×D8—22no—
552C2×D8—22no—
553C2×D8—22no—
554C2×D8—22no—
555C2×D8—41no—
556C2×D8—41no—
557C2×D8—41no—
558C2×D8—41no—
559C2×D8—41no—
560C2×D8—41no—
561C2×D8—41no—
562C2×D8#4114yes—
563C22×C8—22no—
564C22×C8—41no—
565C22×C8—41no—
566C22×C8C2411yescharacteristic
567C22×C8C2411yescharacteristic
568C22×C8C2411yescharacteristic
569C22×C8C2411yescharacteristic
570C22×C8C2411yescharacteristic
571C22×C8C2411yescharacteristic
572C22×C8C2411yescharacteristic
573C22×C8C2411yescharacteristic
574#127—22no—
575#127—22no—
576#127—41no—
577#127—41no—
578#123—82no—
579#123—82no—
580#123—82no—
581#121—22no—
582#121—22no—
583#121—22no—
584#121—22no—
585#121—41no—
586#121—41no—
587#121—41no—
588#121—41no—
589#121—41no—
590#121—41no—
591#121—44no—
592#121—41no—
593#121—41no—
594#121—82no—
595#121—82no—
596#121—82no—
597#120—44no—
598#120—44no—
599C4×D4—22no—
600C4×D4—22no—
601C4×D4—22no—
602C4×D4—22no—
603C4×D4—22no—
604C4×D4—22no—
605C4×D4—22no—
606C4×D4—22no—
607C4×D4—41no—
608C4×D4—41no—
609C4×D4—41no—
610C4×D4—41no—
611C4×D4—41no—
612C4×D4—41no—
613C4×D4—41no—
614C4×D4—41no—
615C4×D4—41no—
616C4×D4—41no—
617C4×D4—41no—
618C4×D4—41no—
619C4×D4—41no—
620C4×D4—41no—
621C4×D4—41no—
622C4×D4—41no—
623C4×D4—44no—
624C4×D4—44no—
625C4×D4—82no—
626C4×D4—82no—
627#117—41no—
628#117—41no—
629#117—41no—
630#117—41no—
631#117—82no—
632C2×C4⋊C4—22no—
633C2×C4⋊C4—21no—
634C2×C4⋊C4—21no—
635C2×C4⋊C4—21no—
636C2×C4⋊C4—21no—
637C2×C4⋊C4—21no—
638C2×C4⋊C4—21no—
639C2×C4⋊C4—21no—
640C2×C4⋊C4—21no—
641C2×C4⋊C4—21no—
642C2×C4⋊C4—21no—
643C2×C4⋊C4—21no—
644C2×C4⋊C4—21no—
645C2×C4⋊C4—21no—
646C2×C4⋊C4—41no—
647C2×C4⋊C4—82no—
648C2×C4⋊C4C2×D411yescharacteristic
649C2×C4⋊C4C2×D411yescharacteristic
650C2×C4⋊C4C2×D411yescharacteristic
651C2×C4⋊C4C2×D411yescharacteristic
652C2×C4⋊C4C2×D411yescharacteristic
653C2×C4⋊C4C2×D411yescharacteristic
654C2×C4⋊C4C2×D411yescharacteristic
655C2×C4⋊C4C2411yescharacteristic
656C2×C4⋊C4C2411yescharacteristic
657C2×C4⋊C4C2411yescharacteristic
658C2×C4⋊C4C2411yescharacteristic
659C2×C4⋊C4C2411yescharacteristic
660C2×C4⋊C4C2411yescharacteristic
661C2×C4⋊C4C2411yescharacteristic
662C2×C4⋊C4C2411yescharacteristic
663C2×C4⋊C4C2411yescharacteristic
664C2×C4⋊C4C2411yescharacteristic
665C2×C4⋊C4C2411yescharacteristic
666C2×C22⋊C4—21no—
667C2×C22⋊C4—21no—
668C2×C22⋊C4—21no—
669C2×C22⋊C4—21no—
670C2×C22⋊C4—21no—
671C2×C22⋊C4—21no—
672C2×C22⋊C4—21no—
673C2×C22⋊C4—21no—
674C2×C22⋊C4—21no—
675C2×C22⋊C4—21no—
676C2×C22⋊C4—21no—
677C2×C22⋊C4—21no—
678C2×C22⋊C4—21no—
679C2×C22⋊C4—21no—
680C2×C22⋊C4—21no—
681C2×C22⋊C4—21no—
682C2×C22⋊C4—21no—
683C2×C22⋊C4—21no—
684C2×C22⋊C4—21no—
685C2×C22⋊C4—21no—
686C2×C22⋊C4—21no—
687C2×C22⋊C4—21no—
688C2×C22⋊C4—21no—
689C2×C22⋊C4—21no—
690C2×C22⋊C4—21no—
691C2×C22⋊C4—21no—
692C2×C22⋊C4—21no—
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—44no—
711C2×C22⋊C4—44no—
712C2×C22⋊C4—82no—
713C2×C22⋊C4—82no—
714C2×C22⋊C4—82no—
715C2×C22⋊C4C2×D411yescharacteristic
716C2×C22⋊C4C2×D411yescharacteristic
717C2×C22⋊C4C2×D411yescharacteristic
718C2×C22⋊C4C2×D411yescharacteristic
719C2×C22⋊C4C2×D411yescharacteristic
720C2×C22⋊C4C2×D411yescharacteristic
721C2×C22⋊C4C2×D411yescharacteristic
722C2×C22⋊C4C2×D411yescharacteristic
723C2×C22⋊C4C2×D411yescharacteristic
724C2×C22⋊C4C2×D411yescharacteristic
725C2×C42—21no—
726C2×C42—21no—
727C2×C42—21no—
728C2×C42—21no—
729C2×C42C2411yescharacteristic
730C2×C42C2411yescharacteristic
731C2×C42C2411yescharacteristic
732C2×C42C2411yescharacteristic
733C2×C42C2411yescharacteristic
734#107—41no—
735#107—41no—
736#107—41no—
737#107—41no—
738#106—22no—
739#106—41no—
740#106—41no—
741#106—41no—
742#106—41no—
743#106—41no—
744C4⋊C8—22no—
745C4⋊C8—41no—
746C4⋊C8—41no—
747#102—22no—
748#102—22no—
749#102—22no—
750#102—22no—
751#102—22no—
752#102—22no—
753#102—22no—
754#102—22no—
755#102—22no—
756#102—22no—
757#102—22no—
758#102—22no—
759#102—22no—
760#102—22no—
761#102—22no—
762#102—41no—
763#102—41no—
764#102—41no—
765#102—41no—
766#102—41no—
767#102—41no—
768#102—41no—
769#102—41no—
770#102—41no—
771#102—41no—
772#102—41no—
773#102—41no—
774#102#4114yes—
775C22⋊C8—22no—
776C22⋊C8—22no—
777C22⋊C8—22no—
778C22⋊C8—41no—
779C22⋊C8—41no—
780C22⋊C8—41no—
781C22⋊C8—41no—
782#97—22no—
783#97—41no—
784#97—41no—
785#97—41no—
786#97—41no—
787C4×C8—41no—
788C4×C8—41no—
789#95—21no—
790#95—21no—
791#95—21no—
792#95—21no—
793#95—21no—
794#95—21no—
795#95—21no—
796#95—21no—
797#95—21no—
798#95—21no—
799#95—21no—
800#95—21no—
801#95—21no—
802#95—21no—
803#95—21no—
804#95—21no—
805#95—21no—
806#95—21no—
807#95—21no—
808#95—21no—
809#95—21no—
810#95—21no—
811#95—21no—
812#95—21no—
813#95—21no—
814#95C2×D411yescharacteristic
815#95C2×D411yescharacteristic
816#95C2×D411yescharacteristic
817#95C2×D411yescharacteristic
818#95C2×D411yescharacteristic
819#95C2×D411yescharacteristic
820#95C2×D411yescharacteristic
821#95C2×D411yescharacteristic
822#95C2×D411yescharacteristic
823#95C2×D411yescharacteristic
824C24—21no—
825C24—24no—
826C24—21no—
827C24—21no—
828C24—21no—
829C24—21no—
830C24—42no—
831C24—42no—
832C24—42no—
833C24—42no—
834C24—42no—
835C24—42no—
836C24—81no—
837C24—81no—
838C24—81no—
839C24—81no—
840C24—81no—
841C24—81no—
842C24—81no—
843C24C22×D411yescharacteristic
844C24C22×D411yescharacteristic
845C2×D4—24no—
846C2×D4—22no—
847C2×D4—21no—
848C2×D4—21no—
849C2×D4—21no—
850C2×D4—21no—
851C2×D4—21no—
852C2×D4—21no—
853C2×D4—21no—
854C2×D4—21no—
855C2×D4—21no—
856C2×D4—21no—
857C2×D4—21no—
858C2×D4—21no—
859C2×D4—21no—
860C2×D4—21no—
861C2×D4—21no—
862C2×D4—21no—
863C2×D4—21no—
864C2×D4—21no—
865C2×D4—21no—
866C2×D4—21no—
867C2×D4—21no—
868C2×D4—21no—
869C2×D4—21no—
870C2×D4—21no—
871C2×D4—21no—
872C2×D4—41no—
873C2×D4—41no—
874C2×D4—42no—
875C2×D4—42no—
876C2×D4—42no—
877C2×D4—42no—
878C2×D4—42no—
879C2×D4—42no—
880C2×D4—42no—
881C2×D4—42no—
882C2×D4—42no—
883C2×D4—42no—
884C2×D4—42no—
885C2×D4—42no—
886C2×D4—44no—
887C2×D4—44no—
888C2×D4—44no—
889C2×D4—44no—
890C2×D4—44no—
891C2×D4—42no—
892C2×D4—42no—
893C2×D4—42no—
894C2×D4—42no—
895C2×D4—42no—
896C2×D4—42no—
897C2×D4—42no—
898C2×D4—81no—
899C2×D4—81no—
900C2×D4—81no—
901C2×D4—81no—
902C2×D4—81no—
903C2×D4—81no—
904C2×D4—82no—
905C2×D4—82no—
906C2×D4—82no—
907C2×D4—81no—
908C2×D4—81no—
909C2×D4—81no—
910C2×D4—81no—
911C2×D4—81no—
912C2×D4—81no—
913C2×D4—81no—
914C2×D4—81no—
915C2×D4—81no—
916C2×D4—81no—
917C2×D4—816no—
918C2×D4C2×#4112yes—
919C2×D4C2×#4112yes—
920C2×D4C2×#4112yes—
921C2×D4H(5,𝔽2)12yes—
922C2×D4H(5,𝔽2)12yes—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—42no—
947C22×C4—42no—
948C22×C4—42no—
949C22×C4—42no—
950C22×C4—42no—
951C22×C4—42no—
952C22×C4—42no—
953C22×C4—42no—
954C22×C4—42no—
955C22×C4—42no—
956C22×C4—42no—
957C22×C4—42no—
958C22×C4—81no—
959C22×C4—81no—
960C22×C4—81no—
961C22×C4—81no—
962C22×C4—81no—
963C22×C4—81no—
964C22×C4—81no—
965C22×C4—81no—
966C22×C4—81no—
967C22×C4—81no—
968C22×C4—81no—
969C22×C4—81no—
970C22×C4—81no—
971C22×C4—81no—
972C22×C4—81no—
973C22×C4—81no—
974C22×C4—81no—
975C22×C4—81no—
976C22×C4—81no—
977C22×C4—81no—
978C22×C4—81no—
979C22×C4—81no—
980C22×C4—81no—
981C22×C4—81no—
982C22×C4C22×D411yescharacteristic
983C22×C4C22×D411yescharacteristic
984C22×C4C22×D411yescharacteristic
985C22×C4C22×D411yescharacteristic
986C22×C4C22×D411yescharacteristic
987C22×C4C22×D411yescharacteristic
988C22×C4C22×D411yescharacteristic
989C22×C4C22×D411yescharacteristic
990C22×C4C22×D411yescharacteristic
991C22×C4C22×D411yescharacteristic
992C22×C4C22×D411yescharacteristic
993C22×C4C22×D411yescharacteristic
994C22×C4C2511yescharacteristic
995D8—28no—
996D8—44no—
997D8—44no—
998D8—44no—
999D8—82no—
1000D8—82no—
1001C2×C8—21no—
1002C2×C8—21no—
1003C2×C8—21no—
1004C2×C8—21no—
1005C2×C8—21no—
1006C2×C8—21no—
1007C2×C8—21no—
1008C2×C8—21no—
1009C2×C8—21no—
1010C2×C8—21no—
1011C2×C8—21no—
1012C2×C8—21no—
1013C2×C8—21no—
1014C2×C8—21no—
1015C2×C8—21no—
1016C2×C8—21no—
1017C2×C8—21no—
1018C2×C8—21no—
1019C2×C8—21no—
1020C2×C8—21no—
1021C2×C8—21no—
1022C2×C8—21no—
1023C2×C8—82no—
1024C2×C8C2×#4112yes—
1025C2×C8C2×#4112yes—
1026C4⋊C4—21no—
1027C4⋊C4—21no—
1028C4⋊C4—21no—
1029C4⋊C4—21no—
1030C4⋊C4—21no—
1031C4⋊C4—21no—
1032C4⋊C4—21no—
1033C4⋊C4—21no—
1034C4⋊C4—21no—
1035C4⋊C4—21no—
1036C4⋊C4—21no—
1037C4⋊C4—21no—
1038C4⋊C4—21no—
1039C4⋊C4—21no—
1040C4⋊C4—21no—
1041C4⋊C4—21no—
1042C4⋊C4—21no—
1043C4⋊C4—21no—
1044C4⋊C4—21no—
1045C4⋊C4—21no—
1046C4⋊C4—21no—
1047C4⋊C4—41no—
1048C4⋊C4—41no—
1049C4⋊C4—41no—
1050C4⋊C4—41no—
1051C4⋊C4—41no—
1052C4⋊C4—41no—
1053C4⋊C4—41no—
1054C4⋊C4—42no—
1055C4⋊C4—42no—
1056C4⋊C4—42no—
1057C4⋊C4—81no—
1058C4⋊C4—81no—
1059C4⋊C4—81no—
1060C4⋊C4—81no—
1061C4⋊C4—81no—
1062C4⋊C4—81no—
1063C4⋊C4—81no—
1064C4⋊C4—81no—
1065C4⋊C4—81no—
1066C4⋊C4—81no—
1067C4⋊C4C2×#4112yes—
1068C22⋊C4—22no—
1069C22⋊C4—22no—
1070C22⋊C4—41no—
1071C22⋊C4—41no—
1072C22⋊C4—41no—
1073C22⋊C4—41no—
1074C22⋊C4—41no—
1075C22⋊C4—41no—
1076C22⋊C4—41no—
1077C22⋊C4—41no—
1078C22⋊C4—42no—
1079C22⋊C4—42no—
1080C22⋊C4—42no—
1081C22⋊C4—42no—
1082C22⋊C4—42no—
1083C22⋊C4—42no—
1084C22⋊C4—42no—
1085C22⋊C4—42no—
1086C22⋊C4—42no—
1087C22⋊C4—42no—
1088C22⋊C4—42no—
1089C22⋊C4—42no—
1090C22⋊C4—42no—
1091C22⋊C4—42no—
1092C22⋊C4—42no—
1093C22⋊C4—42no—
1094C22⋊C4—42no—
1095C22⋊C4—81no—
1096C22⋊C4—81no—
1097C22⋊C4—81no—
1098C22⋊C4—81no—
1099C22⋊C4—81no—
1100C22⋊C4—81no—
1101C22⋊C4—81no—
1102C22⋊C4—81no—
1103C22⋊C4—81no—
1104C22⋊C4—81no—
1105C22⋊C4—81no—
1106C22⋊C4—81no—
1107C22⋊C4—81no—
1108C22⋊C4—81no—
1109C22⋊C4—81no—
1110C22⋊C4—81no—
1111C22⋊C4—81no—
1112C22⋊C4—81no—
1113C22⋊C4—81no—
1114C22⋊C4—81no—
1115C22⋊C4—81no—
1116C22⋊C4—81no—
1117C22⋊C4—81no—
1118C22⋊C4—81no—
1119C22⋊C4—81no—
1120C22⋊C4—81no—
1121C22⋊C4—81no—
1122C42—21no—
1123C42—21no—
1124C42—21no—
1125C42—21no—
1126C42—21no—
1127C42—21no—
1128C42—21no—
1129C42—21no—
1130C42—21no—
1131C42—21no—
1132C42—42no—
1133C42—42no—
1134C42—81no—
1135C42—81no—
1136C23—21no—
1137C23—21no—
1138C23—21no—
1139C23—22no—
1140C23—22no—
1141C23—21no—
1142C23—21no—
1143C23—22no—
1144C23—21no—
1145C23—21no—
1146C23—21no—
1147C23—21no—
1148C23—22no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—22no—
1153C23—21no—
1154C23—48no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—84no—
1186C23—84no—
1187C23—84no—
1188C23—84no—
1189C23—84no—
1190C23—84no—
1191C23—162no—
1192C23—162no—
1193C23—162no—
1194C23—162no—
1195C23—162no—
1196C23—162no—
1197C23—162no—
1198C23#57612yes—
1199C23C23×D411yescharacteristic
1200D4—22no—
1201D4—22no—
1202D4—22no—
1203D4—22no—
1204D4—22no—
1205D4—22no—
1206D4—22no—
1207D4—48no—
1208D4—44no—
1209D4—41no—
1210D4—41no—
1211D4—41no—
1212D4—41no—
1213D4—41no—
1214D4—41no—
1215D4—41no—
1216D4—41no—
1217D4—41no—
1218D4—41no—
1219D4—41no—
1220D4—41no—
1221D4—84no—
1222D4—84no—
1223D4—84no—
1224D4—84no—
1225D4—84no—
1226D4—84no—
1227D4—162no—
1228D4—162no—
1229D4—162no—
1230D4—162no—
1231D4—162no—
1232D4#55314yes—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—22no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—84no—
1311C2×C4—84no—
1312C2×C4—84no—
1313C2×C4—162no—
1314C2×C4—162no—
1315C2×C4—162no—
1316C2×C4—162no—
1317C2×C4—162no—
1318C2×C4—162no—
1319C2×C4—162no—
1320C2×C4—162no—
1321C2×C4—162no—
1322C2×C4C22×#4111yescharacteristic
1323C2×C4C22×#4111yescharacteristic
1324C2×C4C2×H(5,𝔽2)11yescharacteristic
1325C2×C4C2×H(5,𝔽2)11yescharacteristic
1326C2×C4#58511yescharacteristic
1327C2×C4#58511yescharacteristic
1328C8—22no—
1329C8—22no—
1330C8—41no—
1331C8—41no—
1332C8—41no—
1333C8—41no—
1334C8—41no—
1335C8—41no—
1336C22—24no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—41no—
1341C22—42no—
1342C22—41no—
1343C22—41no—
1344C22—42no—
1345C22—42no—
1346C22—42no—
1347C22—42no—
1348C22—42no—
1349C22—41no—
1350C22—41no—
1351C22—42no—
1352C22—42no—
1353C22—41no—
1354C22—42no—
1355C22—41no—
1356C22—42no—
1357C22—41no—
1358C22—41no—
1359C22—42no—
1360C22—41no—
1361C22—42no—
1362C22—41no—
1363C22—81no—
1364C22—81no—
1365C22—81no—
1366C22—81no—
1367C22—81no—
1368C22—81no—
1369C22—81no—
1370C22—81no—
1371C22—81no—
1372C22—81no—
1373C22—81no—
1374C22—81no—
1375C22—81no—
1376C22—81no—
1377C22—81no—
1378C22—81no—
1379C22—81no—
1380C22—81no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—168no—
1386C22—168no—
1387C22D4×#4111yescharacteristic
1388C22D4×#4111yescharacteristic
1389C22#348411yescharacteristic
1390C22C2×#57611yescharacteristic
1391C22#358511yescharacteristic
1392C22#358511yescharacteristic
1393C22#358511yescharacteristic
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—42no—
1401C4—41no—
1402C4—41no—
1403C4—41no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—81no—
1408C4—81no—
1409C4—81no—
1410C4—81no—
1411C4—81no—
1412C4—81no—
1413C4—81no—
1414C4—81no—
1415C4—81no—
1416C4—81no—
1417C4C2×#55311yescharacteristic
1418C4#351311yescharacteristic
1419C4#351311yescharacteristic
1420C4#353311yescharacteristic
1421C2—42no—
1422C2—44no—
1423C2—81no—
1424C2—82no—
1425C2—82no—
1426C2—161no—
1427C2—161no—
1428C2#5919011yescharacteristic
1429C2#6150411yescharacteristic
1430C2#6150511yescharacteristic
1431C2#6151911yescharacteristic
1432C2#6151911yescharacteristic
1433C2#6160911yescharacteristic
1434C2#6166911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45074C2semidirect
2. #35713C2semidirect
3. #32309C2semidirect
4. #31995C2semidirect
5. #31850C2semidirect
6. #31790C2semidirect
7. #29484C2semidirect
8. #29469C2semidirect
9. #29028C2semidirect
10. #28890C2semidirect
11. #27568C2semidirect
12. #27534C2semidirect
13. #27325C2semidirect
14. #27163C2semidirect
15. #26977C2semidirect
16. #26656C2semidirect
17. #26601C2semidirect
18. #26178C2semidirect
19. #25168C2semidirect
20. #25148C2semidirect
21. #25042C2semidirect
22. #24897C2semidirect
23. #24424C2semidirect
24. #24248C2semidirect
25. #23297C2semidirect
26. #23008C2semidirect
27. #22858C2semidirect
28. #22676C2semidirect
29. #22562C2semidirect
30. #21458C2semidirect
31. #21458C2semidirect
43. C2×#442C22semidirect
44. C2×#442C22semidirect
56. #2513C22semidirect
57. #2509C22semidirect
59. #2495C22semidirect
67. #2428C22semidirect
68. #2428C22semidirect
71. #2420C22semidirect
80. #2366C22semidirect
81. #2361C22semidirect
83. #2349C22semidirect
85. #2344C22semidirect
89. #2324C22semidirect
90. #2324C22semidirect
91. #2101C22semidirect
92. #2101C22semidirect
93. #2099C22semidirect
94. #2092C22semidirect
95. #2088C22semidirect
96. #2085C22semidirect
97. #2085C22semidirect
98. #2077C22semidirect
99. #2076C22semidirect
100. #2075C22semidirect
101. #2073C22semidirect
102. #2071C22semidirect
103. #2067C22semidirect
104. #2067C22semidirect
105. #2065C22semidirect
106. #2065C22semidirect
107. #2054C22semidirect
111. #2034C22semidirect
112. #2034C22semidirect
113. #2034C22semidirect
115. #2033C22semidirect
116. #2033C22semidirect
118. #2011C22semidirect
119. #2011C22semidirect
123. #1972C22semidirect
124. #1972C22semidirect
125. #1970C22semidirect
127. #1961C22semidirect
129. #1949C22semidirect
130. #1944C22semidirect
131. #1944C22semidirect
132. #1941C22semidirect
133. #1936C22semidirect
134. #1936C22semidirect
135. #1936C22semidirect
136. #1936C22semidirect
137. #1936C22semidirect
138. #1936C22semidirect
139. #1934C22semidirect
140. #1934C22semidirect
141. #1926C22semidirect
142. #1926C22semidirect
143. #1926C22semidirect
144. #1926C22semidirect
145. #1924C22semidirect
146. #1924C22semidirect
147. #1923C22semidirect
148. #1923C22semidirect
149. #1920C22semidirect
150. #1918C22semidirect
151. #1917C22semidirect
152. #1917C22semidirect
153. #1893C22semidirect
158. #1879C22semidirect
159. #1879C22semidirect
160. #1879C22semidirect
161. #1879C22semidirect
162. #1879C22semidirect
163. #1879C22semidirect
164. #1875C22semidirect
165. #1875C22semidirect
172. #1864C22semidirect
173. #1864C22semidirect
176. #1862C22semidirect
177. #1862C22semidirect
178. #1862C22semidirect
179. #1862C22semidirect
180. #1854C22semidirect
181. #1854C22semidirect
182. #1853C22semidirect
183. #1847C22semidirect
184. #1823C22semidirect
185. #1807C22semidirect
188. #1802C22semidirect
192. #1771C22semidirect
193. #1771C22semidirect
197. C4×#102C22semidirect
198. C4×#102C22semidirect
199. #1752C22semidirect
200. #1752C22semidirect
201. #1750C22semidirect
202. #1750C22semidirect

Maximal subgroups

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

subgroupindex
#450742
#357132
#323092
#319952
#318502
#317902
#294842
#294692
#290282
#288902
#275682
#275342
#273252
#271632
#269772
#266562
#266012
#261782
#251682
#251482
#250422
#248972
#244242
#242482
#232972
#230082
#228582
#226762
#225622
#214582