Finite Group Databasebeta

← #7691907

Subgroups — #7691907

Order 512.

5923 conjugacy classes of subgroups.

The subgroup lattice has 1396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59820C213yesmaximal, complemented
2#59546C213yesmaximal, complemented
3#59474C213yesmaximal, complemented
4#59208C213yesmaximal, complemented
5#59198C213yesmaximal, complemented
6#45087C213yesmaximal, complemented
7#45026C213yesmaximal, complemented
8#44960C213yesmaximal, complemented
9#44918C213yesmaximal, complemented
10#38249C213yesmaximal, complemented
11#38205C213yesmaximal, complemented
12#38112C213yesmaximal, complemented
13#37851C213yesmaximal, complemented
14#36583C211yesmaximal, characteristic, complemented
15#36483C211yesmaximal, characteristic, complemented
16#36458C211yesmaximal, characteristic, complemented
17#36435C211yesmaximal, characteristic, complemented
18#36429C211yesmaximal, characteristic
19#36264C213yesmaximal, complemented
20#36168C213yesmaximal, complemented
21#36076C211yesmaximal, characteristic, complemented
22#36076C211yesmaximal, characteristic, complemented
23#35898C211yesmaximal, characteristic, complemented
24#35816C211yesmaximal, characteristic, complemented
25#34806C213yesmaximal, complemented
26#34313C211yesmaximal, characteristic, complemented
27#34294C211yesmaximal, characteristic, complemented
28#34263C211yesmaximal, characteristic, complemented
29#34175C211yesmaximal, characteristic, complemented
30#34128C211yesmaximal, characteristic, complemented
31C2×#2341C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C2×#557C2211yescharacteristic, complemented
34C2×#551C2216yes—
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#520C2211yescharacteristic
39C2×#520C2211yescharacteristic
40C2×#520C2211yescharacteristic, complemented
41C22×C4×Q8C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic
43#2860C2213yescomplemented
44#2858C2213yescomplemented
45#2854C2213yes—
46#2851C2213yes—
47#2847C2213yes—
48#2797C2216yescomplemented
49#2786C2216yescomplemented
50#2757C2216yescomplemented
51#2752C2216yescomplemented
52#2749C2216yescomplemented
53#2748C2216yescomplemented
54#2743C2216yescomplemented
55#2741C2216yescomplemented
56#2740C2216yescomplemented
57#2740C2216yescomplemented
58#2730C2216yescomplemented
59#2722C2216yescomplemented
60#2717C2216yescomplemented
61#2705C2216yescomplemented
62#2644C2213yescomplemented
63#2629C2213yescomplemented
64#2624C2213yescomplemented
65#2624C2213yescomplemented
66#2610C2216yescomplemented
67#2603C2216yescomplemented
68#2603C2216yescomplemented
69#2581C2213yescomplemented
70#2578C2216yescomplemented
71#2566C2213yescomplemented
72#2565C2213yescomplemented
73#2554C2216yescomplemented
74#2548C2213yescomplemented
75#2547C2213yescomplemented
76#2538C2213yescomplemented
77#2534C2216yes—
78#2531C2216yescomplemented
79#2531C2213yescomplemented
80#2530C2213yescomplemented
81#2527C2213yescomplemented
82#2526C2216yescomplemented
83#2526C2213yescomplemented
84#2522C2213yescomplemented
85#2521C2213yescomplemented
86#2516C2213yescomplemented
87#2515C2213yescomplemented
88#2513C2213yescomplemented
89#2513C2213yescomplemented
90#2512C2213yescomplemented
91#2512C2213yescomplemented
92#2512C2213yescomplemented
93#2512C2213yescomplemented
94#2510C2213yes—
95#2510C2216yescomplemented
96#2505C2211yescharacteristic
97#2504C2213yescomplemented
98#2504C2213yescomplemented
99#2501C2213yes—
100#2498C2213yes—
101#2497C2213yescomplemented
102#2497C2213yescomplemented
103#2496C2213yescomplemented
104#2496C2213yescomplemented
105#2495C2213yescomplemented
106#2494C2213yescomplemented
107#2490C2213yescomplemented
108#2490C2213yescomplemented
109#2490C2213yescomplemented
110#2490C2213yescomplemented
111#2486C2213yes—
112#2486C2213yescomplemented
113#2486C2213yescomplemented
114#2483C2216yes—
115#2482C2213yes—
116#2480C2213yes—
117#2472C2213yes—
118#2471C2216yescomplemented
119#2467C2216yescomplemented
120#2461C2216yescomplemented
121#2454C2213yescomplemented
122#2453C2213yescomplemented
123#2452C2213yescomplemented
124#2451C2213yescomplemented
125#2448C2213yescomplemented
126#2448C2213yescomplemented
127#2445C2213yescomplemented
128#2445C2213yescomplemented
129#2445C2213yescomplemented
130#2445C2213yescomplemented
131#2442C2213yes—
132#2442C2213yescomplemented
133#2440C2213yes—
134#2440C2213yescomplemented
135#2438C2213yes—
136#2438C2216yescomplemented
137#2433C2213yes—
138#2431C2213yes—
139#2431C2213yes—
140#2423C2213yescomplemented
141#2423C2213yescomplemented
142#2420C2213yescomplemented
143#2420C2213yescomplemented
144#2420C2213yescomplemented
145#2420C2213yescomplemented
146#2419C2216yes—
147#2419C2216yescomplemented
148#2412C2216yes—
149#2411C2216yes—
150#2411C2213yes—
151#2408C2213yes—
152#2407C2213yes—
153#2407C2213yes—
154#2401C2213yescomplemented
155#2396C2213yescomplemented
156#2395C2213yescomplemented
157#2395C2213yescomplemented
158#2367C2213yescomplemented
159#2366C2213yescomplemented
160#2361C2213yes—
161#2361C2213yescomplemented
162#2361C2213yescomplemented
163#2360C2213yescomplemented
164#2358C2216yes—
165#2357C2213yescomplemented
166#2356C2213yescomplemented
167#2356C2213yescomplemented
168#2354C2213yescomplemented
169#2353C2216yescomplemented
170#2351C2211yescharacteristic, complemented
171#2351C2211yescharacteristic, complemented
172#2351C2211yescharacteristic, complemented
173#2351C2211yescharacteristic, complemented
174Q8×C4⋊C4C2211yescharacteristic, complemented
175Q8×C4⋊C4C2211yescharacteristic, complemented
176Q8×C4⋊C4C2211yescharacteristic, complemented
177Q8×C4⋊C4C2211yescharacteristic, complemented
178D4×C4⋊C4C2213yes—
179D4×C4⋊C4C2213yescomplemented
180#2345C2213yescomplemented
181#2344C2213yes—
182#2344C2213yes—
183#2344C2213yescomplemented
184#2341C2211yescharacteristic
185#2341C2213yes—
186#2341C2211yescharacteristic
187#2341C2213yes—
188#2341C2213yes—
189#2341C2211yescharacteristic
190#2341C2213yes—
191#2341C2211yescharacteristic
192#2341C2211yescharacteristic
193#2341C2211yescharacteristic
194#2341C2211yescharacteristic
195#2341C2211yescharacteristic
196#2341C2211yescharacteristic, complemented
197#2341C2211yescharacteristic, complemented
198#2341C2211yescharacteristic, complemented
199Q8×C22⋊C4C2211yescharacteristic
200Q8×C22⋊C4C2211yescharacteristic
201Q8×C22⋊C4C2211yescharacteristic
202#2339C2213yes—
203#2339C2213yes—
204D4×C22⋊C4C2213yes—
205D4×C22⋊C4C2213yes—
206#2326C2213yescomplemented
207#2324C2213yescomplemented
208#2324C2213yescomplemented
209#2323C2213yescomplemented
210#2319C2213yescomplemented
211#2314C2213yescomplemented
212#2311C2213yes—
213#2311C2213yes—
214C4×#127C2213yescomplemented
215C4×#126C2213yescomplemented
216C4×#124C2213yescomplemented
217C4×C22⋊Q8C2213yes—
218C4×#123C2213yes—
219C4×#121C2213yes—
220C4×#120C2213yes—
221#2298C2213yescomplemented
222#2295C2213yescomplemented
223#2295C2213yescomplemented
224#2293C2213yescomplemented
225#2293C2213yescomplemented
226C2×#390C2213yes—
227C2×#390C2213yes—
228#2290C2213yes—
229#2283C2213yes—
230#2280C2213yes—
231C2×#380C2213yes—
232C2×#380C2213yes—
233#2276C2211yescharacteristic, complemented
234C42×Q8C2211yescharacteristic, complemented
235C42×Q8C2211yescharacteristic, complemented
236C4×#117C2213yes—
237C2×C4×C22⋊C4C2213yes—
238C22×#41—28no—
239C22×#41—28no—
240C22×#41—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2313yes—
244C22×#41C2313yes—
245C22×#41C2311yescharacteristic
246C23×Q8C2311yescharacteristic
247C23×D4C2313yes—
248C24×C4C2313yes—
249#557—44no—
250#551—424no—
251#550—28no—
252#550—44no—
253#548—28no—
254C2×C4⋊Q8C2313yes—
255C2×#127C2313yes—
256C2×#127C2313yes—
257C2×#126C2313yes—
258C2×#126C2316yes—
259C2×#126C2316yes—
260C2×#125C2313yes—
261C2×#125C2313yes—
262C2×#124C2313yes—
263C2×#124C2313yes—
264C2×#124C2316yes—
265C2×#123C2316yes—
266C2×#123C2313yes—
267C2×#123C2316yes—
268C2×#123C2316yes—
269C2×C22⋊Q8C2313yes—
270C2×C22⋊Q8C2313yes—
271C2×C22⋊Q8C2316yes—
272C2×#121C2313yes—
273C2×#121C2313yes—
274C2×#121C2313yes—
275C2×#121C2313yes—
276C2×#121C2313yes—
277C2×#120C2313yes—
278C2×#120C2316yes—
279#520—28no—
280#520—44no—
281#520—44no—
282C2×C4×Q8—28no—
283C2×C4×Q8—44no—
284C2×C4×Q8C2311yescharacteristic
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×Q8C2311yescharacteristic
288C2×C4×Q8C2311yescharacteristic
289C2×C4×Q8C2311yescharacteristic
290C2×C4×Q8C2311yescharacteristic
291C2×C4×Q8C2311yescharacteristic
292C2×C4×Q8C2311yescharacteristic
293C2×C4×Q8C2311yescharacteristic
294C2×C4×Q8C2311yescharacteristic
295C2×C4×Q8C2313yes—
296C2×C4×Q8C2313yes—
297C2×C4×Q8C2313yes—
298C2×C4×Q8C2313yes—
299C2×C4×Q8C2313yes—
300C2×C4×D4C2313yes—
301C2×C4×D4C2313yes—
302C2×C4×D4C2313yes—
303C2×C4×D4C2313yes—
304C2×C4×D4C2313yes—
305C2×C4×D4C2313yes—
306C2×C4×D4C2316yes—
307C2×C4×D4C2316yes—
308C2×C4×D4C2313yes—
309C2×C4×D4C2313yes—
310C2×C4×D4C2316yes—
311C2×C4×D4C2313yes—
312C2×#117C2313yes—
313C2×#117C2313yes—
314C2×#117C2313yes—
315C2×#117C2313yes—
316C2×#117C2313yes—
317C2×#117C2316yes—
318C22×C4⋊C4C2313yes—
319C22×C4⋊C4C2313yes—
320C22×C4⋊C4C2313yes—
321C22×C4⋊C4C2313yes—
322C22×C4⋊C4C2313yes—
323C22×C22⋊C4C2316yes—
324C22×C22⋊C4C2313yes—
325C22×C22⋊C4C2313yes—
326C22×C22⋊C4C2316yes—
327C22×C42C2313yes—
328C22×C42C2313yes—
329#401C2313yes—
330#400C2313yes—
331#400C2316yes—
332#400C2311yescharacteristic
333#400C2311yescharacteristic
334#400C2311yescharacteristic
335#400C2313yes—
336#400C2313yes—
337#400C2316yes—
338#399C2313yes—
339#399C2313yes—
340#399C2313yes—
341#399C2316yes—
342#399C2316yes—
343#398C2316yes—
344#398C2316yes—
345#398C2313yes—
346#398C2316yes—
347#398C2313yes—
348#398C2313yes—
349#398C2311yescharacteristic
350#398C2316yes—
351#397C2313yes—
352#397C2316yes—
353#397C2313yes—
354#397C2316yes—
355#397C2316yes—
356#397C2316yes—
357#397C2313yes—
358#397C2316yes—
359#397C2313yes—
360#397C2313yes—
361#397C2313yes—
362#397C2313yes—
363#397C2313yes—
364#397C2313yes—
365#397C2316yes—
366#397C2316yes—
367#397C2316yes—
368#397C2316yes—
369#396C2313yes—
370#396C2316yes—
371#396C2316yes—
372#396C2316yes—
373#396C2313yes—
374#396C2313yes—
375#396C2316yes—
376#395C2316yes—
377#395C2313yes—
378#394C2316yes—
379#394C2313yes—
380#394C2316yes—
381#394C2313yes—
382#394C2316yes—
383#394C2316yes—
384#394C2316yes—
385#394C2313yes—
386#394C2313yes—
387#394C2316yes—
388#394C2316yes—
389#393C2313yes—
390#392C2316yes—
391#392C2316yes—
392#392C2316yes—
393#391C2313yes—
394#391C2313yes—
395#391C2313yes—
396#391C2313yes—
397#391C2313yes—
398#391C2313yes—
399#391C2313yes—
400#391C2313yes—
401#390C2313yes—
402#390C2316yes—
403#390C2313yes—
404#390C2313yes—
405#390C2313yes—
406#390C2313yes—
407#390C2313yes—
408#390C2313yes—
409#390C2313yes—
410#390C2313yes—
411#390C2313yes—
412#390C2313yes—
413#390C2313yes—
414#390C2313yes—
415#390C2316yes—
416#390C2316yes—
417#390C2313yes—
418#390C2313yes—
419#390C2313yes—
420#390C2316yes—
421#390C2316yes—
422#390C2313yes—
423#390C2313yes—
424#390C2313yes—
425#390C2313yes—
426#390C2313yes—
427#390C2313yes—
428#390C2313yes—
429#390C2316yes—
430#390C2316yes—
431#390C2313yes—
432#390C2313yes—
433#389C2313yes—
434#389C2313yes—
435#389C2316yes—
436#389C2313yes—
437#389C2313yes—
438#389C2313yes—
439#389C2313yes—
440#389C2313yes—
441#389C2313yes—
442#389C2313yes—
443#389C2313yes—
444#389C2313yes—
445#389C2313yes—
446#389C2313yes—
447#389C2313yes—
448#389C2313yes—
449#389C2313yes—
450#389C2313yes—
451#389C2313yes—
452#389C2311yescharacteristic
453#388C2313yes—
454#388C2313yes—
455#388C2313yes—
456#388C2316yes—
457#388C2316yes—
458#388C2313yes—
459#388C2316yes—
460#388C2316yes—
461#388C2316yes—
462#388C2316yes—
463#388C2313yes—
464#388C2313yes—
465#388C2313yes—
466#388C2316yes—
467#388C2313yes—
468#388C2313yes—
469#388C2316yes—
470#388C2316yes—
471#388C2313yes—
472#388C2313yes—
473#388C2313yes—
474#388C2313yes—
475#388C2313yes—
476#388C2313yes—
477#388C2313yes—
478#388C2316yes—
479#388C2313yes—
480#388C2313yes—
481#388C2313yes—
482#387C2311yescharacteristic
483#387C2313yes—
484#387C2313yes—
485#387C2313yes—
486#387C2316yes—
487#387C2313yes—
488#387C2316yes—
489#387C2313yes—
490#387C2313yes—
491#387C2316yes—
492#387C2316yes—
493#387C2316yes—
494#387C2316yes—
495#387C2316yes—
496#387C2313yes—
497#387C2313yes—
498#387C2316yes—
499#387C2313yes—
500#387C2313yes—
501#387C2313yes—
502#387C2311yescharacteristic
503#386C2316yes—
504#386C2316yes—
505#386C2316yes—
506#386C2316yes—
507#386C2316yes—
508#386C2316yes—
509#386C2316yes—
510#386C2316yes—
511#386C2313yes—
512#386C2316yes—
513#386C2313yes—
514#386C2316yes—
515#386C2316yes—
516#386C2316yes—
517#386C2313yes—
518#386C2313yes—
519#386C2313yes—
520#386C2313yes—
521#385C2316yes—
522#385C2316yes—
523#385C2316yes—
524#385C2316yes—
525#385C2316yes—
526#385C2316yes—
527#385C2313yes—
528#385C2316yes—
529#385C2313yes—
530#385C2313yes—
531#385C2313yes—
532#385C2311yescharacteristic
533#385C2311yescharacteristic
534#385C2311yescharacteristic
535#385C2311yescharacteristic
536#384C2313yes—
537#384C2313yes—
538#384C2313yes—
539#384C2313yes—
540#383C2313yes—
541#383C2316yes—
542#382C2313yes—
543#382C2313yes—
544#382C2313yes—
545#382C2313yes—
546#382C2311yescharacteristic
547#381C2316yes—
548#381C2313yes—
549#381C2313yes—
550#381C2316yes—
551#381C2316yes—
552#381C2316yes—
553#381C2313yes—
554#380C2316yes—
555#380C2313yes—
556#380C2313yes—
557#380C2313yes—
558#380C2313yes—
559#380C2316yes—
560#380C2313yes—
561#380C2313yes—
562#380C2313yes—
563#380C2313yes—
564#380C2313yes—
565#380C2313yes—
566#380C2313yes—
567#380C2313yes—
568#380C2313yes—
569#380C2316yes—
570#380C2313yes—
571#380C2316yes—
572#380C2313yes—
573#380C2313yes—
574#380C2316yes—
575#380C2313yes—
576#380C2313yes—
577#380C2311yescharacteristic
578#379C2313yes—
579#379C2313yes—
580#379C2313yes—
581C4×C4⋊C4C2313yes—
582C4×C4⋊C4C2313yes—
583C4×C4⋊C4C2313yes—
584C4×C4⋊C4C2313yes—
585C4×C4⋊C4C2313yes—
586C4×C4⋊C4C2313yes—
587C4×C4⋊C4C2313yes—
588C4×C4⋊C4C2313yes—
589C4×C4⋊C4C2313yes—
590C4×C4⋊C4C2313yes—
591C4×C4⋊C4C2313yes—
592C4×C4⋊C4C2313yes—
593C4×C4⋊C4C2313yes—
594C4×C4⋊C4C2313yes—
595C4×C4⋊C4C2313yes—
596C4×C4⋊C4C2313yes—
597C4×C4⋊C4C2313yes—
598C4×C4⋊C4C2313yes—
599C4×C4⋊C4C2313yes—
600C4×C22⋊C4C2313yes—
601C4×C22⋊C4C2313yes—
602C4×C22⋊C4C2313yes—
603C4×C22⋊C4C2313yes—
604C4×C22⋊C4C2316yes—
605C4×C22⋊C4C2313yes—
606C4×C22⋊C4C2313yes—
607C4×C22⋊C4C2313yes—
608C4×C22⋊C4C2313yes—
609C4×C22⋊C4C2313yes—
610C4×C22⋊C4C2313yes—
611C4×C22⋊C4C2313yes—
612C4×C22⋊C4C2313yes—
613C4×C22⋊C4C2313yes—
614C4×C22⋊C4C2313yes—
615C4×C22⋊C4C2313yes—
616C4×C22⋊C4C2313yes—
617C4×C22⋊C4C2313yes—
618C4×C22⋊C4C2313yes—
619C4×C22⋊C4C2316yes—
620C4×C22⋊C4C2313yes—
621C4×C22⋊C4C2311yescharacteristic
622#376C2313yes—
623#376C2313yes—
624#376C2316yes—
625#376C2313yes—
626C2×#95C2316yes—
627C2×#95C2313yes—
628C2×#95C2311yescharacteristic
629C43C2313yes—
630C43C2313yes—
631C25C2413yes—
632C2×#41—24no—
633C2×#41—24no—
634C2×#41—24no—
635C2×#41—212no—
636C2×#41—212no—
637C2×#41—24no—
638C2×#41—24no—
639C2×#41—24no—
640C2×#41—24no—
641C2×#41—24no—
642C2×#41—212no—
643C2×#41—212no—
644C2×#41—46no—
645C2×#41—46no—
646C2×#41—464no—
647C2×#41#4118yes—
648C22×Q8—24no—
649C22×Q8—24no—
650C22×Q8#4118yes—
651C22×Q8C2413yes—
652C22×Q8C2413yes—
653C22×Q8C2411yescharacteristic
654C22×D4—212no—
655C22×D4—212no—
656C22×D4—46no—
657C22×D4C2413yes—
658C22×D4C2413yes—
659C22×D4C2413yes—
660C22×D4C2413yes—
661C22×D4C2416yes—
662C22×D4C2413yes—
663C22×D4C2416yes—
664C22×D4C2413yes—
665C22×D4C2416yes—
666C23×C4—212no—
667C23×C4—212no—
668C23×C4—46no—
669C23×C4C2413yes—
670C23×C4C2413yes—
671C23×C4C2413yes—
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2413yes—
675C23×C4C2413yes—
676C23×C4C2413yes—
677C23×C4C2413yes—
678C23×C4C2413yes—
679C23×C4C2411yescharacteristic
680C23×C4C2416yes—
681C23×C4C2416yes—
682C23×C4C2416yes—
683C4⋊Q8—46no—
684#127—212no—
685#127—46no—
686#126—46no—
687#126—412no—
688#126—412no—
689#125—46no—
690#125—46no—
691#124—212no—
692#124—46no—
693#124—412no—
694#123—46no—
695#123—412no—
696#123—412no—
697#123—412no—
698C22⋊Q8—212no—
699C22⋊Q8—212no—
700C22⋊Q8—412no—
701#121—212no—
702#121—212no—
703#121—212no—
704#121—46no—
705#121—46no—
706#120—212no—
707#120—412no—
708C4×Q8—212no—
709C4×Q8—212no—
710C4×Q8—24no—
711C4×Q8—24no—
712C4×Q8—24no—
713C4×Q8—24no—
714C4×Q8—24no—
715C4×Q8—24no—
716C4×Q8—24no—
717C4×Q8—24no—
718C4×Q8—24no—
719C4×Q8—24no—
720C4×Q8—24no—
721C4×Q8—46no—
722C4×Q8—46no—
723C4×Q8—46no—
724C4×D4—212no—
725C4×D4—212no—
726C4×D4—212no—
727C4×D4—212no—
728C4×D4—412no—
729C4×D4—46no—
730C4×D4—46no—
731C4×D4—46no—
732C4×D4—46no—
733C4×D4—412no—
734C4×D4—46no—
735C4×D4—412no—
736#117—212no—
737#117—212no—
738#117—46no—
739#117—46no—
740#117—412no—
741#117—46no—
742C2×C4⋊C4—212no—
743C2×C4⋊C4—212no—
744C2×C4⋊C4—46no—
745C2×C4⋊C4—46no—
746C2×C4⋊C4—46no—
747C2×C4⋊C4C2413yes—
748C2×C4⋊C4C2413yes—
749C2×C4⋊C4C2413yes—
750C2×C4⋊C4C2413yes—
751C2×C4⋊C4C2413yes—
752C2×C4⋊C4C2413yes—
753C2×C4⋊C4C2413yes—
754C2×C4⋊C4C2413yes—
755C2×C4⋊C4C2413yes—
756C2×C4⋊C4C2416yes—
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2413yes—
759C2×C4⋊C4C2413yes—
760C2×C4⋊C4C2413yes—
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2413yes—
763C2×C4⋊C4C2413yes—
764C2×C4⋊C4C2413yes—
765C2×C4⋊C4C2413yes—
766C2×C4⋊C4C2413yes—
767C2×C4⋊C4C2413yes—
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2413yes—
770C2×C4⋊C4C2413yes—
771C2×C4⋊C4C2416yes—
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2416yes—
775C2×C4⋊C4C2413yes—
776C2×C4⋊C4C2413yes—
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2416yes—
779C2×C4⋊C4C2416yes—
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2413yes—
782C2×C4⋊C4C2413yes—
783C2×C4⋊C4C2416yes—
784C2×C4⋊C4C2413yes—
785C2×C4⋊C4C2413yes—
786C2×C4⋊C4C2416yes—
787C2×C4⋊C4C2413yes—
788C2×C4⋊C4C2413yes—
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2413yes—
793C2×C22⋊C4—46no—
794C2×C22⋊C4—412no—
795C2×C22⋊C4—46no—
796C2×C22⋊C4—412no—
797C2×C22⋊C4C2413yes—
798C2×C22⋊C4C2413yes—
799C2×C22⋊C4C2413yes—
800C2×C22⋊C4C2413yes—
801C2×C22⋊C4C2411yescharacteristic
802C2×C22⋊C4C2413yes—
803C2×C22⋊C4C2413yes—
804C2×C22⋊C4C2413yes—
805C2×C22⋊C4C2413yes—
806C2×C22⋊C4C2411yescharacteristic
807C2×C22⋊C4C2413yes—
808C2×C22⋊C4C2413yes—
809C2×C22⋊C4C2413yes—
810C2×C22⋊C4C2413yes—
811C2×C22⋊C4C2413yes—
812C2×C22⋊C4C2416yes—
813C2×C22⋊C4C2411yescharacteristic
814C2×C22⋊C4C2416yes—
815C2×C22⋊C4C2416yes—
816C2×C22⋊C4C2416yes—
817C2×C22⋊C4C2416yes—
818C2×C22⋊C4C2416yes—
819C2×C22⋊C4C2416yes—
820C2×C22⋊C4C2413yes—
821C2×C22⋊C4C2413yes—
822C2×C22⋊C4C2413yes—
823C2×C22⋊C4C2413yes—
824C2×C22⋊C4C2413yes—
825C2×C22⋊C4C2413yes—
826C2×C22⋊C4C2413yes—
827C2×C22⋊C4C2413yes—
828C2×C22⋊C4C2413yes—
829C2×C22⋊C4C2413yes—
830C2×C22⋊C4C2413yes—
831C2×C22⋊C4C2413yes—
832C2×C22⋊C4C2416yes—
833C2×C22⋊C4C2416yes—
834C2×C22⋊C4C2416yes—
835C2×C22⋊C4C2416yes—
836C2×C22⋊C4C2416yes—
837C2×C22⋊C4C2413yes—
838C2×C22⋊C4C2413yes—
839C2×C22⋊C4C2413yes—
840C2×C22⋊C4C2413yes—
841C2×C22⋊C4C2413yes—
842C2×C22⋊C4C2413yes—
843C2×C22⋊C4C2413yes—
844C2×C22⋊C4C2413yes—
845C2×C22⋊C4C2413yes—
846C2×C22⋊C4C2413yes—
847C2×C22⋊C4C2413yes—
848C2×C22⋊C4C2411yescharacteristic
849C2×C42—212no—
850C2×C42—46no—
851C2×C42C2413yes—
852C2×C42C2413yes—
853C2×C42C2413yes—
854C2×C42C2413yes—
855C2×C42C2413yes—
856C2×C42C2413yes—
857C2×C42C2413yes—
858C2×C42C2413yes—
859C2×C42C2413yes—
860C2×C42C2413yes—
861C2×C42C2413yes—
862C2×C42C2413yes—
863C2×C42C2413yes—
864C2×C42C2413yes—
865C2×C42C2413yes—
866C2×C42C2413yes—
867C2×C42C2411yescharacteristic
868C2×C42C2416yes—
869C2×C42C2413yes—
870C2×C42C2413yes—
871C2×C42C2413yes—
872C2×C42C2413yes—
873C2×C42C2411yescharacteristic
874C2×C42C2413yes—
875#95C2413yes—
876#95C2413yes—
877#95C2416yes—
878#95C2411yescharacteristic
879#95C2411yescharacteristic
880#95C2411yescharacteristic
881#95C2411yescharacteristic
882#95C2413yes—
883#95C2413yes—
884#95C2413yes—
885#95C2413yes—
886#95C2416yes—
887#95C2411yescharacteristic
888#95C2411yescharacteristic
889#95C2411yescharacteristic
890#95C2413yes—
891#95C2413yes—
892#95C2413yes—
893#95C2413yes—
894#95C2413yes—
895#95C2413yes—
896#95C2413yes—
897#95C2413yes—
898#95C2413yes—
899#95C2416yes—
900#95C2416yes—
901#95C2416yes—
902#95C2411yescharacteristic
903#95C2411yescharacteristic
904#95C2411yescharacteristic
905#95C2411yescharacteristic
906#95C2411yescharacteristic
907#95C2411yescharacteristic
908#95C2411yescharacteristic
909#95C2413yes—
910#95C2413yes—
911#95C2413yes—
912#95C2413yes—
913#95C2413yes—
914#95C2413yes—
915#95C2413yes—
916#95C2413yes—
917#95C2413yes—
918#95C2416yes—
919#95C2416yes—
920#95C2416yes—
921#95C2411yescharacteristic
922#95C2411yescharacteristic
923#95C2413yes—
924#95C2413yes—
925#95C2413yes—
926#95C2413yes—
927#95C2413yes—
928#95C2413yes—
929#95C2413yes—
930#95C2413yes—
931#95C2416yes—
932C24—26no—
933C24—26no—
934C24—26no—
935C24—26no—
936C24—43no—
937C24—43no—
938C24—43no—
939C24C2513yes—
940C24C2513yes—
941C24C2513yes—
942C24C2511yescharacteristic
943#41—232no—
944#41—448no—
945#41—448no—
946#41—416no—
947#41—416no—
948C2×Q8—232no—
949C2×Q8—26no—
950C2×Q8—26no—
951C2×Q8—26no—
952C2×Q8—43no—
953C2×Q8—43no—
954C2×Q8C2×#41112yes—
955C2×Q8C2×#4114yes—
956C2×Q8C2×#4114yes—
957C2×Q8H(5,𝔽2)14yes—
958C2×D4—26no—
959C2×D4—26no—
960C2×D4—212no—
961C2×D4—26no—
962C2×D4—26no—
963C2×D4—212no—
964C2×D4—26no—
965C2×D4—26no—
966C2×D4—26no—
967C2×D4—212no—
968C2×D4—26no—
969C2×D4—26no—
970C2×D4—26no—
971C2×D4—26no—
972C2×D4—26no—
973C2×D4—26no—
974C2×D4—26no—
975C2×D4—448no—
976C2×D4—46no—
977C2×D4—43no—
978C2×D4—43no—
979C2×D4—46no—
980C2×D4—46no—
981C2×D4—43no—
982C2×D4—46no—
983C2×D4—46no—
984C2×D4—46no—
985C2×D4C2×#41112yes—
986C22×C4—26no—
987C22×C4—26no—
988C22×C4—26no—
989C22×C4—26no—
990C22×C4—22no—
991C22×C4—26no—
992C22×C4—22no—
993C22×C4—26no—
994C22×C4—26no—
995C22×C4—22no—
996C22×C4—26no—
997C22×C4—212no—
998C22×C4—26no—
999C22×C4—26no—
1000C22×C4—26no—
1001C22×C4—22no—
1002C22×C4—26no—
1003C22×C4—26no—
1004C22×C4—26no—
1005C22×C4—26no—
1006C22×C4—26no—
1007C22×C4—26no—
1008C22×C4—26no—
1009C22×C4—22no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—43no—
1013C22×C4—43no—
1014C22×C4—41no—
1015C22×C4—41no—
1016C22×C4—448no—
1017C22×C4—43no—
1018C22×C4—46no—
1019C22×C4—43no—
1020C22×C4—46no—
1021C22×C4—46no—
1022C22×C4—46no—
1023C22×C4—46no—
1024C22×C4—46no—
1025C22×C4—46no—
1026C22×C4—46no—
1027C22×C4C2×#41112yes—
1028C22×C4C2×#41112yes—
1029C22×C4C2511yescharacteristic
1030C22×C4C2511yescharacteristic
1031C22×C4C2513yes—
1032C22×C4C2513yes—
1033C22×C4C2511yescharacteristic
1034C22×C4C2513yes—
1035C22×C4C2513yes—
1036C22×C4C2511yescharacteristic
1037C22×C4C2511yescharacteristic
1038C22×C4C2511yescharacteristic
1039C22×C4C2511yescharacteristic
1040C22×C4C2511yescharacteristic
1041C22×C4C2513yes—
1042C22×C4C2511yescharacteristic
1043C22×C4C2513yes—
1044C22×C4C2513yes—
1045C22×C4C2511yescharacteristic
1046C22×C4C2513yes—
1047C22×C4C2513yes—
1048C22×C4C2513yes—
1049C22×C4C2513yes—
1050C22×C4C2513yes—
1051C22×C4C2511yescharacteristic
1052C22×C4C2511yescharacteristic
1053C22×C4C2511yescharacteristic
1054C22×C4C2511yescharacteristic
1055C22×C4C2513yes—
1056C4⋊C4—26no—
1057C4⋊C4—26no—
1058C4⋊C4—26no—
1059C4⋊C4—212no—
1060C4⋊C4—26no—
1061C4⋊C4—26no—
1062C4⋊C4—22no—
1063C4⋊C4—22no—
1064C4⋊C4—26no—
1065C4⋊C4—26no—
1066C4⋊C4—26no—
1067C4⋊C4—26no—
1068C4⋊C4—26no—
1069C4⋊C4—26no—
1070C4⋊C4—26no—
1071C4⋊C4—26no—
1072C4⋊C4—26no—
1073C4⋊C4—26no—
1074C4⋊C4—26no—
1075C4⋊C4—26no—
1076C4⋊C4—26no—
1077C4⋊C4—22no—
1078C4⋊C4—43no—
1079C4⋊C4—43no—
1080C4⋊C4—46no—
1081C4⋊C4—41no—
1082C4⋊C4—41no—
1083C4⋊C4—43no—
1084C4⋊C4—41no—
1085C4⋊C4—43no—
1086C4⋊C4—43no—
1087C4⋊C4—41no—
1088C4⋊C4—41no—
1089C4⋊C4—46no—
1090C4⋊C4—46no—
1091C4⋊C4—41no—
1092C4⋊C4—46no—
1093C4⋊C4—41no—
1094C4⋊C4—43no—
1095C4⋊C4—43no—
1096C4⋊C4—46no—
1097C4⋊C4—43no—
1098C4⋊C4—43no—
1099C4⋊C4—46no—
1100C4⋊C4—43no—
1101C4⋊C4—43no—
1102C22⋊C4—26no—
1103C22⋊C4—26no—
1104C22⋊C4—22no—
1105C22⋊C4—26no—
1106C22⋊C4—26no—
1107C22⋊C4—26no—
1108C22⋊C4—22no—
1109C22⋊C4—26no—
1110C22⋊C4—22no—
1111C22⋊C4—26no—
1112C22⋊C4—26no—
1113C22⋊C4—212no—
1114C22⋊C4—26no—
1115C22⋊C4—26no—
1116C22⋊C4—26no—
1117C22⋊C4—26no—
1118C22⋊C4—26no—
1119C22⋊C4—43no—
1120C22⋊C4—43no—
1121C22⋊C4—43no—
1122C22⋊C4—43no—
1123C22⋊C4—43no—
1124C22⋊C4—43no—
1125C22⋊C4—46no—
1126C22⋊C4—46no—
1127C22⋊C4—46no—
1128C22⋊C4—46no—
1129C22⋊C4—46no—
1130C22⋊C4—46no—
1131C22⋊C4—43no—
1132C22⋊C4—43no—
1133C22⋊C4—43no—
1134C22⋊C4—43no—
1135C22⋊C4—43no—
1136C22⋊C4—43no—
1137C22⋊C4—43no—
1138C22⋊C4—43no—
1139C22⋊C4—43no—
1140C22⋊C4—43no—
1141C22⋊C4—43no—
1142C22⋊C4—46no—
1143C22⋊C4—46no—
1144C22⋊C4—46no—
1145C22⋊C4—46no—
1146C22⋊C4—43no—
1147C22⋊C4—43no—
1148C22⋊C4—46no—
1149C22⋊C4—43no—
1150C22⋊C4—43no—
1151C22⋊C4—43no—
1152C22⋊C4—43no—
1153C22⋊C4H(5,𝔽2)14yes—
1154C42—26no—
1155C42—26no—
1156C42—26no—
1157C42—26no—
1158C42—26no—
1159C42—26no—
1160C42—26no—
1161C42—26no—
1162C42—26no—
1163C42—26no—
1164C42—26no—
1165C42—26no—
1166C42—26no—
1167C42—26no—
1168C42—26no—
1169C42—26no—
1170C42—22no—
1171C42—43no—
1172C42—43no—
1173C42—41no—
1174C42—43no—
1175C42—43no—
1176C42—43no—
1177C42—46no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—23no—
1183C23—23no—
1184C23—23no—
1185C23—23no—
1186C23—23no—
1187C23—23no—
1188C23—23no—
1189C23—23no—
1190C23—23no—
1191C23—23no—
1192C23—23no—
1193C23—23no—
1194C23—23no—
1195C23—23no—
1196C23—23no—
1197C23—23no—
1198C23—23no—
1199C23—23no—
1200C23—23no—
1201C23—23no—
1202C23—412no—
1203C23—412no—
1204C23—412no—
1205C23—412no—
1206C23—86no—
1207C23—86no—
1208C23—86no—
1209C23C22×#4116yes—
1210C23C22×#4112yes—
1211C23C2×H(5,𝔽2)12yes—
1212C23#58512yes—
1213C23C2611yescharacteristic
1214Q8—224no—
1215Q8—86no—
1216Q8#551116yescomplemented
1217D4—224no—
1218D4—412no—
1219D4—424no—
1220D4—412no—
1221D4—412no—
1222D4—412no—
1223D4—86no—
1224D4—812no—
1225D4—166no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—23no—
1230C2×C4—21no—
1231C2×C4—23no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—224no—
1237C2×C4—224no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—23no—
1243C2×C4—23no—
1244C2×C4—23no—
1245C2×C4—23no—
1246C2×C4—23no—
1247C2×C4—23no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—23no—
1257C2×C4—23no—
1258C2×C4—23no—
1259C2×C4—23no—
1260C2×C4—23no—
1261C2×C4—23no—
1262C2×C4—23no—
1263C2×C4—23no—
1264C2×C4—23no—
1265C2×C4—23no—
1266C2×C4—23no—
1267C2×C4—23no—
1268C2×C4—23no—
1269C2×C4—23no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—23no—
1274C2×C4—23no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—23no—
1278C2×C4—23no—
1279C2×C4—23no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—23no—
1283C2×C4—23no—
1284C2×C4—23no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—23no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—23no—
1292C2×C4—21no—
1293C2×C4—23no—
1294C2×C4—23no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—23no—
1300C2×C4—21no—
1301C2×C4—412no—
1302C2×C4—44no—
1303C2×C4—44no—
1304C2×C4—412no—
1305C2×C4—44no—
1306C2×C4—412no—
1307C2×C4—412no—
1308C2×C4—412no—
1309C2×C4—812no—
1310C2×C4—86no—
1311C2×C4—166no—
1312C2×C4—166no—
1313C2×C4C22×#4116yes—
1314C2×C4C22×#4112yes—
1315C2×C4C22×#4116yes—
1316C2×C4C22×#4116yes—
1317C2×C4C2×H(5,𝔽2)12yes—
1318C2×C4C2×H(5,𝔽2)12yes—
1319C2×C4C2×H(5,𝔽2)16yes—
1320C2×C4#58512yes—
1321C22—22no—
1322C22—22no—
1323C22—22no—
1324C22—22no—
1325C22—22no—
1326C22—22no—
1327C22—26no—
1328C22—26no—
1329C22—26no—
1330C22—43no—
1331C22—43no—
1332C22—43no—
1333C22—43no—
1334C22—43no—
1335C22—43no—
1336C22—43no—
1337C22—43no—
1338C22—43no—
1339C22—43no—
1340C22—43no—
1341C22—43no—
1342C22—43no—
1343C22—43no—
1344C22—43no—
1345C22—43no—
1346C22—43no—
1347C22—43no—
1348C22—824no—
1349C22#351714yes—
1350C22C23×#4111yescharacteristic
1351C22C23×#4111yescharacteristic
1352C22C22×H(5,𝔽2)11yescharacteristic
1353C22C22×H(5,𝔽2)11yescharacteristic
1354C22C2×#58511yescharacteristic
1355C22C2×#58511yescharacteristic
1356C222−1+611yescharacteristic
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—22no—
1361C4—26no—
1362C4—43no—
1363C4—43no—
1364C4—41no—
1365C4—41no—
1366C4—43no—
1367C4—43no—
1368C4—43no—
1369C4—43no—
1370C4—43no—
1371C4—43no—
1372C4—43no—
1373C4—41no—
1374C4—41no—
1375C4—43no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—43no—
1381C4—41no—
1382C4—41no—
1383C4C2×#551112yes—
1384C2—24no—
1385C2—46no—
1386C2—83no—
1387C2—83no—
1388C2C22×#55111yescharacteristic
1389C2C2×#351711yescharacteristic
1390C2#6281011yescharacteristic
1391C2#6291911yescharacteristic
1392C2#6298511yescharacteristic
1393C2#6300511yescharacteristic
1394C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36429C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59820C2semidirect
2. #59546C2semidirect
3. #59474C2semidirect
4. #59208C2semidirect
5. #59198C2semidirect
6. #45087C2semidirect
7. #45026C2semidirect
8. #44960C2semidirect
9. #44918C2semidirect
10. #38249C2semidirect
11. #38205C2semidirect
12. #38112C2semidirect
13. #37851C2semidirect
14. #36583C2semidirect
15. #36483C2semidirect
16. #36458C2semidirect
17. #36435C2semidirect
19. #36264C2semidirect
20. #36168C2semidirect
21. #36076C2semidirect
22. #36076C2semidirect
23. #35898C2semidirect
24. #35816C2semidirect
25. #34806C2semidirect
26. #34313C2semidirect
27. #34294C2semidirect
28. #34263C2semidirect
29. #34175C2semidirect
30. #34128C2semidirect
31. C2×#2341C2semidirect
33. C2×#557C22semidirect
40. C2×#520C22semidirect
43. #2860C22semidirect
44. #2858C22semidirect
48. #2797C22semidirect
49. #2786C22semidirect
50. #2757C22semidirect
51. #2752C22semidirect
52. #2749C22semidirect
53. #2748C22semidirect
54. #2743C22semidirect
55. #2741C22semidirect
56. #2740C22semidirect
57. #2740C22semidirect
58. #2730C22semidirect
59. #2722C22semidirect
60. #2717C22semidirect
61. #2705C22semidirect
62. #2644C22semidirect
63. #2629C22semidirect
64. #2624C22semidirect
65. #2624C22semidirect
66. #2610C22semidirect
67. #2603C22semidirect
68. #2603C22semidirect
69. #2581C22semidirect
70. #2578C22semidirect
71. #2566C22semidirect
72. #2565C22semidirect
73. #2554C22semidirect
74. #2548C22semidirect
75. #2547C22semidirect
76. #2538C22semidirect
78. #2531C22semidirect
79. #2531C22semidirect
80. #2530C22semidirect
81. #2527C22semidirect
82. #2526C22semidirect
83. #2526C22semidirect
84. #2522C22semidirect
85. #2521C22semidirect
86. #2516C22semidirect
87. #2515C22semidirect
88. #2513C22semidirect
89. #2513C22semidirect
90. #2512C22semidirect
91. #2512C22semidirect
92. #2512C22semidirect
93. #2512C22semidirect
95. #2510C22semidirect
97. #2504C22semidirect
98. #2504C22semidirect
101. #2497C22semidirect
102. #2497C22semidirect
103. #2496C22semidirect
104. #2496C22semidirect
105. #2495C22semidirect
106. #2494C22semidirect
107. #2490C22semidirect
108. #2490C22semidirect
109. #2490C22semidirect
110. #2490C22semidirect
112. #2486C22semidirect
113. #2486C22semidirect
118. #2471C22semidirect
119. #2467C22semidirect
120. #2461C22semidirect
121. #2454C22semidirect
122. #2453C22semidirect
123. #2452C22semidirect
124. #2451C22semidirect
125. #2448C22semidirect
126. #2448C22semidirect
127. #2445C22semidirect
128. #2445C22semidirect
129. #2445C22semidirect
130. #2445C22semidirect
132. #2442C22semidirect
134. #2440C22semidirect
136. #2438C22semidirect
140. #2423C22semidirect
141. #2423C22semidirect
142. #2420C22semidirect
143. #2420C22semidirect
144. #2420C22semidirect
145. #2420C22semidirect
147. #2419C22semidirect
154. #2401C22semidirect
155. #2396C22semidirect
156. #2395C22semidirect
157. #2395C22semidirect
158. #2367C22semidirect
159. #2366C22semidirect
161. #2361C22semidirect
162. #2361C22semidirect
163. #2360C22semidirect
165. #2357C22semidirect
166. #2356C22semidirect
167. #2356C22semidirect
168. #2354C22semidirect
169. #2353C22semidirect
170. #2351C22semidirect
171. #2351C22semidirect
172. #2351C22semidirect
173. #2351C22semidirect
174. Q8×C4⋊C4C22semidirect
175. Q8×C4⋊C4C22semidirect
176. Q8×C4⋊C4C22semidirect
177. Q8×C4⋊C4C22semidirect
179. D4×C4⋊C4C22semidirect
180. #2345C22semidirect
183. #2344C22semidirect
196. #2341C22semidirect
197. #2341C22semidirect
198. #2341C22semidirect
206. #2326C22semidirect
207. #2324C22semidirect
208. #2324C22semidirect
209. #2323C22semidirect
210. #2319C22semidirect
211. #2314C22semidirect
214. C4×#127C22semidirect
215. C4×#126C22semidirect
216. C4×#124C22semidirect
221. #2298C22semidirect
222. #2295C22semidirect
223. #2295C22semidirect
224. #2293C22semidirect
225. #2293C22semidirect
233. #2276C22semidirect
234. C42×Q8C22semidirect
235. C42×Q8C22semidirect
1216. Q8#551semidirect

Maximal subgroups

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

subgroupindex
#598202
#595462
#594742
#592082
#591982
#450872
#450262
#449602
#449182
#382492
#382052
#381122
#378512
#365832
#364832
#364582
#364352
#364292
#362642
#361682
#360762
#358982
#358162
#348062
#343132
#342942
#342632
#341752
#341282
C2×#23412