Finite Group Databasebeta

← #7676331

Subgroups — #7676331

Order 512.

5836 conjugacy classes of subgroups.

The subgroup lattice has 1557 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59301C214yesmaximal, complemented
2#59300C214yesmaximal, complemented
3#59210C214yesmaximal, complemented
4#59207C214yesmaximal, complemented
5#43941C214yesmaximal, complemented
6#43936C214yesmaximal, complemented
7#43059C214yesmaximal, complemented
8#43054C214yesmaximal, complemented
9#39255C214yesmaximal, complemented
10#39253C214yesmaximal, complemented
11#39184C214yesmaximal, complemented
12#36520C214yesmaximal, complemented
13#35456C211yesmaximal, characteristic, complemented
14#35447C211yesmaximal, characteristic, complemented
15#35369C211yesmaximal, characteristic, complemented
16#35348C211yesmaximal, characteristic
17#35097C211yesmaximal, characteristic, complemented
18#35020C211yesmaximal, characteristic, complemented
19#34992C211yesmaximal, characteristic, complemented
20C2×#2534C211yesmaximal, characteristic, complemented
21C2×#2534C211yesmaximal, characteristic, complemented
22#34199C211yesmaximal, characteristic, complemented
23#34198C211yesmaximal, characteristic, complemented
24#34185C211yesmaximal, characteristic, complemented
25#34181C211yesmaximal, characteristic, complemented
26C2×#2342C211yesmaximal, characteristic, complemented
27C4×#534C211yesmaximal, characteristic, complemented
28C2×#534C2211yescharacteristic
29C22×#123C2211yescharacteristic
30C22×#123C2211yescharacteristic
31C22×#120C2211yescharacteristic
32C22×#120C2211yescharacteristic
33C2×#518C2211yescharacteristic
34C2×#518C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37C22×#117C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40#2853C2214yescomplemented
41#2851C2214yescomplemented
42#2849C2214yescomplemented
43#2801C2214yescomplemented
44#2800C2214yescomplemented
45#2795C2214yescomplemented
46#2793C2214yescomplemented
47#2790C2214yescomplemented
48#2786C2214yescomplemented
49#2783C2214yescomplemented
50#2782C2214yescomplemented
51#2781C2214yescomplemented
52#2780C2214yescomplemented
53#2779C2214yescomplemented
54#2779C2214yescomplemented
55#2778C2214yescomplemented
56#2778C2214yescomplemented
57#2772C2214yescomplemented
58#2765C2214yescomplemented
59#2757C2214yescomplemented
60#2756C2214yescomplemented
61#2753C2214yescomplemented
62#2750C2214yescomplemented
63#2725C2214yescomplemented
64#2718C2214yescomplemented
65#2711C2214yescomplemented
66#2708C2214yescomplemented
67#2646C2214yescomplemented
68#2623C2214yescomplemented
69#2622C2214yescomplemented
70#2608C2214yescomplemented
71#2602C2214yescomplemented
72#2601C2214yescomplemented
73#2598C2214yescomplemented
74#2595C2214yescomplemented
75#2595C2214yescomplemented
76#2594C2214yescomplemented
77#2593C2214yescomplemented
78#2591C2214yescomplemented
79#2587C2214yescomplemented
80#2587C2214yescomplemented
81#2579C2214yescomplemented
82#2578C2214yescomplemented
83#2576C2214yescomplemented
84#2576C2214yescomplemented
85#2573C2214yescomplemented
86#2569C2214yescomplemented
87#2569C2214yescomplemented
88#2559C2214yescomplemented
89#2558C2214yescomplemented
90#2534C2214yes—
91#2534C2214yes—
92#2534C2214yes—
93#2534C2214yes—
94#2534C2214yes—
95#2534C2212yescomplemented
96#2534C2212yescomplemented
97#2534C2212yescomplemented
98#2534C2212yescomplemented
99#2534C2212yescomplemented
100#2534C2212yescomplemented
101#2534C2212yescomplemented
102#2534C2212yescomplemented
103#2534C2214yescomplemented
104#2531C2214yescomplemented
105#2529C2214yescomplemented
106#2525C2214yescomplemented
107#2525C2214yescomplemented
108#2518C2214yescomplemented
109#2518C2214yescomplemented
110#2516C2214yescomplemented
111#2515C2214yescomplemented
112#2510C2214yescomplemented
113#2498C2214yescomplemented
114#2498C2214yescomplemented
115#2493C2214yescomplemented
116#2493C2214yescomplemented
117#2493C2214yescomplemented
118#2493C2214yescomplemented
119#2493C2214yescomplemented
120#2493C2214yescomplemented
121#2486C2214yescomplemented
122#2484C2214yescomplemented
123#2483C2214yescomplemented
124#2482C2214yescomplemented
125#2481C2214yescomplemented
126#2480C2214yescomplemented
127#2480C2214yescomplemented
128#2480C2214yescomplemented
129#2480C2214yescomplemented
130#2480C2214yescomplemented
131#2480C2214yescomplemented
132#2476C2214yescomplemented
133#2470C2214yescomplemented
134#2468C2214yescomplemented
135#2467C2214yescomplemented
136#2460C2214yescomplemented
137#2457C2214yescomplemented
138#2444C2214yescomplemented
139#2443C2214yescomplemented
140#2442C2214yescomplemented
141#2442C2214yescomplemented
142#2425C2214yescomplemented
143#2425C2214yescomplemented
144#2424C2214yes—
145#2424C2214yes—
146#2413C2214yescomplemented
147#2412C2214yes—
148#2412C2214yes—
149#2412C2214yescomplemented
150#2411C2214yes—
151#2410C2214yes—
152#2408C2214yes—
153#2405C2214yescomplemented
154C2×#396C2212yescomplemented
155C2×#396C2212yescomplemented
156C2×#394C2212yescomplemented
157C2×#394C2212yescomplemented
158#2374C2214yescomplemented
159#2373C2214yescomplemented
160#2364C2214yescomplemented
161#2359C2214yescomplemented
162#2359C2214yescomplemented
163#2358C2214yes—
164#2358C2214yes—
165#2353C2214yescomplemented
166#2353C2214yescomplemented
167#2353C2214yescomplemented
168#2352C2214yescomplemented
169#2352C2214yescomplemented
170#2349C2214yescomplemented
171#2349C2214yescomplemented
172D4×C4⋊C4C2214yescomplemented
173D4×C4⋊C4C2214yescomplemented
174#2344C2214yescomplemented
175#2342C2214yescomplemented
176#2342C2214yescomplemented
177#2342C2214yescomplemented
178#2342C2214yescomplemented
179#2342C2214yescomplemented
180#2342C2214yescomplemented
181D4×C22⋊C4C2214yescomplemented
182#2325C2214yescomplemented
183#2322C2214yescomplemented
184#2322C2212yescomplemented
185#2322C2212yescomplemented
186#2321C2214yescomplemented
187#2321C2212yescomplemented
188#2321C2212yescomplemented
189#2316C2212yescomplemented
190#2315C2211yescharacteristic
191#2315C2211yescharacteristic
192#2315C2211yescharacteristic
193#2315C2211yescharacteristic
194#2315C2211yescharacteristic
195#2315C2211yescharacteristic
196#2315C2211yescharacteristic
197#2315C2212yescomplemented
198#2313C2212yescomplemented
199#2312C2212yescomplemented
200#2308C2211yescharacteristic
201#2308C2211yescharacteristic
202#2308C2211yescharacteristic
203#2308C2211yescharacteristic
204C4×#123C2212yescomplemented
205C4×#123C2212yescomplemented
206C4×#123C2214yescomplemented
207C4×#121C2214yescomplemented
208C4×#120C2214yescomplemented
209C4×#120C2212yescomplemented
210C4×#120C2212yescomplemented
211C2×#388C2212yescomplemented
212C2×#388C2212yescomplemented
213C2×#388C2212yescomplemented
214C2×#388C2212yescomplemented
215C2×#386C2212yescomplemented
216C2×#386C2212yescomplemented
217C2×#385C2212yescomplemented
218#2285C2212yescomplemented
219#2283C2212yescomplemented
220#2280C2212yescomplemented
221C2×#381C2211yescharacteristic
222C2×#381C2211yescharacteristic
223C2×#381C2211yescharacteristic
224C2×#380C2211yescharacteristic
225C2×#380C2211yescharacteristic
226C2×#380C2211yescharacteristic
227C2×#380C2212yescomplemented
228C2×#379C2211yescharacteristic
229C2×#379C2211yescharacteristic
230C2×#379C2211yescharacteristic
231#2273C2211yescharacteristic
232#2273C2211yescharacteristic
233C2×C4×C22⋊C4C2211yescharacteristic
234C2×C4×C22⋊C4C2212yescomplemented
235C26C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2312yes—
239C23×D4C2312yes—
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2312yes—
244C24×C4C2311yescharacteristic
245#534—28no—
246C2×#126C2314yes—
247C2×#126C2314yes—
248C2×#125C2314yescomplemented
249C2×#123—28no—
250C2×#123—44no—
251C2×#123C2312yes—
252C2×#123C2312yes—
253C2×#123C2312yes—
254C2×#123C2314yes—
255C2×#123C2312yes—
256C2×#123C2314yes—
257C2×#123C2312yes—
258C2×#123C2312yes—
259C2×#123C2314yes—
260C2×#123C2314yes—
261C2×#121C2314yes—
262C2×#121C2314yes—
263C2×#121C2314yes—
264C2×#120—28no—
265C2×#120—44no—
266C2×#120C2312yes—
267C2×#120C2312yes—
268C2×#120C2312yes—
269C2×#120C2314yes—
270C2×#120C2312yes—
271C2×#120C2312yes—
272C2×#120C2312yes—
273C2×#120C2314yes—
274#518—44no—
275#518—44no—
276C2×C4×D4—28no—
277C2×C4×D4—28no—
278C2×C4×D4C2312yes—
279C2×C4×D4C2312yes—
280C2×C4×D4C2312yes—
281C2×C4×D4C2312yes—
282C2×C4×D4C2312yes—
283C2×C4×D4C2312yes—
284C2×C4×D4C2312yes—
285C2×C4×D4C2312yes—
286C2×C4×D4C2314yes—
287C2×C4×D4C2314yes—
288C2×C4×D4C2314yes—
289C2×C4×D4C2314yes—
290C2×C4×D4C2314yes—
291C2×C4×D4C2314yes—
292C2×C4×D4C2314yescomplemented
293C2×#117—44no—
294C2×#117C2312yes—
295C2×#117C2312yes—
296C2×#117C2314yes—
297C2×#117C2314yes—
298C2×#117C2314yescomplemented
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2312yes—
302C22×C4⋊C4C2312yes—
303C22×C4⋊C4C2312yes—
304C22×C4⋊C4C2312yes—
305C22×C4⋊C4C2312yes—
306C22×C4⋊C4C2312yes—
307C22×C4⋊C4C2314yescomplemented
308C22×C22⋊C4—28no—
309C22×C22⋊C4—44no—
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2312yes—
323C22×C22⋊C4C2312yes—
324C22×C22⋊C4C2312yes—
325C22×C22⋊C4C2312yes—
326C22×C22⋊C4C2312yes—
327C22×C22⋊C4C2312yes—
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2312yes—
333C22×C22⋊C4C2312yes—
334C22×C22⋊C4C2312yes—
335C22×C22⋊C4C2314yes—
336C22×C22⋊C4C2314yes—
337C22×C22⋊C4C2312yes—
338C22×C22⋊C4C2312yes—
339C22×C22⋊C4C2312yes—
340C22×C22⋊C4C2312yes—
341C22×C22⋊C4C2312yes—
342C22×C22⋊C4C2312yes—
343C22×C22⋊C4C2312yes—
344C22×C22⋊C4C2312yes—
345C22×C42C2311yescharacteristic
346C22×C42C2311yescharacteristic
347C22×C42C2312yes—
348C22×C42C2312yes—
349#401C2314yescomplemented
350#401C2314yescomplemented
351#400C2314yescomplemented
352#400C2314yescomplemented
353#400C2314yescomplemented
354#400C2314yescomplemented
355#400C2314yescomplemented
356#400C2314yescomplemented
357#400C2314yescomplemented
358#400C2314yescomplemented
359#400C2314yescomplemented
360#400C2314yescomplemented
361#400C2314yescomplemented
362#400C2314yescomplemented
363#399C2314yescomplemented
364#399C2314yescomplemented
365#398C2314yescomplemented
366#398C2314yescomplemented
367#398C2314yescomplemented
368#398C2314yescomplemented
369#398C2314yescomplemented
370#398C2314yescomplemented
371#398C2314yescomplemented
372#398C2314yescomplemented
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yescomplemented
384#397C2314yescomplemented
385#397C2314yescomplemented
386#397C2314yescomplemented
387#396C2314yes—
388#396C2314yes—
389#396C2314yes—
390#396C2314yes—
391#396C2314yes—
392#396C2314yes—
393#396C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#396C2314yes—
399#396C2314yescomplemented
400#396C2314yescomplemented
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yescomplemented
418#394C2314yescomplemented
419#392C2314yes—
420#392C2314yes—
421#390C2314yes—
422#390C2314yes—
423#390C2314yes—
424#390C2314yes—
425#390C2314yescomplemented
426#389C2314yescomplemented
427#389C2314yescomplemented
428#389C2314yescomplemented
429#389C2314yescomplemented
430#389C2314yescomplemented
431#389C2314yescomplemented
432#389C2314yescomplemented
433#389C2314yescomplemented
434#389C2314yescomplemented
435#389C2314yescomplemented
436#389C2314yescomplemented
437#388C2314yes—
438#388C2314yes—
439#388C2314yes—
440#388C2314yes—
441#388C2314yes—
442#388C2314yes—
443#388C2314yes—
444#388C2314yes—
445#388C2314yes—
446#388C2314yes—
447#388C2314yes—
448#388C2314yes—
449#388C2314yes—
450#388C2314yes—
451#388C2314yes—
452#388C2314yes—
453#388C2314yes—
454#388C2314yes—
455#388C2314yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2314yes—
464#388C2314yes—
465#388C2314yescomplemented
466#388C2314yescomplemented
467#388C2314yescomplemented
468#388C2314yescomplemented
469#388C2314yescomplemented
470#388C2314yescomplemented
471#388C2314yescomplemented
472#388C2314yescomplemented
473#388C2314yescomplemented
474#388C2314yescomplemented
475#388C2314yescomplemented
476#388C2314yescomplemented
477#388C2314yescomplemented
478#388C2314yescomplemented
479#388C2314yescomplemented
480#388C2314yescomplemented
481#388C2314yescomplemented
482#388C2314yescomplemented
483#387C2314yescomplemented
484#387C2314yescomplemented
485#387C2314yescomplemented
486#387C2314yescomplemented
487#387C2314yescomplemented
488#387C2314yescomplemented
489#387C2314yescomplemented
490#387C2314yescomplemented
491#387C2314yescomplemented
492#387C2314yescomplemented
493#387C2314yescomplemented
494#387C2314yescomplemented
495#387C2314yescomplemented
496#387C2314yescomplemented
497#387C2314yescomplemented
498#387C2314yescomplemented
499#387C2314yescomplemented
500#387C2314yescomplemented
501#387C2314yescomplemented
502#387C2314yescomplemented
503#387C2314yescomplemented
504#387C2314yescomplemented
505#387C2314yescomplemented
506#387C2314yescomplemented
507#386C2314yes—
508#386C2312yes—
509#386C2312yes—
510#386C2312yes—
511#386C2312yes—
512#386C2314yes—
513#386C2314yes—
514#386C2314yes—
515#386C2314yes—
516#386C2314yes—
517#386C2314yes—
518#386C2314yes—
519#386C2314yes—
520#386C2314yes—
521#386C2314yes—
522#386C2314yes—
523#386C2314yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yescomplemented
534#386C2314yescomplemented
535#386C2314yescomplemented
536#386C2314yescomplemented
537#385C2314yes—
538#385C2314yes—
539#385C2314yes—
540#385C2314yes—
541#385C2314yes—
542#385C2312yes—
543#385C2312yes—
544#385C2314yes—
545#385C2312yes—
546#385C2312yes—
547#385C2314yes—
548#385C2314yes—
549#385C2314yes—
550#385C2314yes—
551#385C2314yes—
552#385C2314yes—
553#385C2314yes—
554#385C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yescomplemented
562#385C2314yescomplemented
563#385C2314yescomplemented
564#385C2314yescomplemented
565#385C2314yescomplemented
566#385C2314yescomplemented
567#385C2314yescomplemented
568#385C2314yescomplemented
569#384C2314yescomplemented
570#383C2314yescomplemented
571#383C2314yescomplemented
572#383C2314yescomplemented
573#382C2314yescomplemented
574#382C2314yescomplemented
575#382C2314yescomplemented
576#381C2312yes—
577#381C2312yes—
578#381C2312yes—
579#381C2312yes—
580#381C2314yes—
581#381C2312yes—
582#381C2314yes—
583#381C2312yes—
584#381C2314yes—
585#381C2314yes—
586#381C2314yes—
587#381C2312yes—
588#381C2314yes—
589#381C2312yes—
590#381C2314yescomplemented
591#380C2312yes—
592#380C2312yes—
593#380C2312yes—
594#380C2312yes—
595#380C2314yes—
596#380C2314yes—
597#380C2314yes—
598#380C2314yes—
599#380C2312yes—
600#380C2312yes—
601#380C2312yes—
602#380C2312yes—
603#380C2314yes—
604#380C2312yes—
605#380C2312yes—
606#380C2312yes—
607#380C2312yes—
608#380C2312yes—
609#380C2312yes—
610#380C2312yes—
611#380C2312yes—
612#380C2314yescomplemented
613#380C2314yescomplemented
614#380C2314yescomplemented
615#380C2314yescomplemented
616#380C2314yescomplemented
617#379C2312yes—
618#379C2312yes—
619#379C2312yes—
620#379C2312yes—
621#379C2312yes—
622#379C2312yes—
623#379C2314yes—
624#379C2314yes—
625#379C2314yes—
626#379C2312yes—
627#379C2314yes—
628#379C2312yes—
629C4×C4⋊C4C2314yescomplemented
630C4×C4⋊C4C2314yescomplemented
631C4×C4⋊C4C2314yescomplemented
632C4×C4⋊C4C2314yescomplemented
633C4×C4⋊C4C2314yescomplemented
634C4×C4⋊C4C2314yescomplemented
635C4×C22⋊C4C2312yes—
636C4×C22⋊C4C2312yes—
637C4×C22⋊C4C2312yes—
638C4×C22⋊C4C2312yes—
639C4×C22⋊C4C2312yes—
640C4×C22⋊C4C2312yes—
641C4×C22⋊C4C2314yes—
642C4×C22⋊C4C2314yes—
643C4×C22⋊C4C2314yes—
644C4×C22⋊C4C2312yes—
645C4×C22⋊C4C2312yes—
646C4×C22⋊C4C2314yes—
647C4×C22⋊C4C2314yes—
648C4×C22⋊C4C2314yes—
649C4×C22⋊C4C2314yes—
650C4×C22⋊C4C2314yes—
651C4×C22⋊C4C2314yes—
652C4×C22⋊C4C2314yes—
653C4×C22⋊C4C2314yescomplemented
654C4×C22⋊C4C2314yescomplemented
655C4×C22⋊C4C2314yescomplemented
656C4×C22⋊C4C2314yescomplemented
657C4×C22⋊C4C2314yescomplemented
658#376C2314yescomplemented
659C2×#95C2312yes—
660C2×#95C2312yes—
661C2×#95C2312yes—
662C2×#95C2312yes—
663C2×#95C2312yes—
664C2×#95C2312yes—
665C2×#95C2312yes—
666C2×#95C2312yes—
667C2×#95C2312yes—
668C2×#95C2312yes—
669C2×#95C2314yescomplemented
670C25—24no—
671C25—24no—
672C25—24no—
673C25—44no—
674C25—82no—
675C25C2411yescharacteristic
676C25C2412yes—
677C25C2412yes—
678C25C2411yescharacteristic
679C25C2411yescharacteristic
680C25C2411yescharacteristic
681C25C2411yescharacteristic
682C22×D4—24no—
683C22×D4—24no—
684C22×D4—24no—
685C22×D4—24no—
686C22×D4—24no—
687C22×D4—28no—
688C22×D4—44no—
689C22×D4—44no—
690C22×D4—44no—
691C22×D4—82no—
692C22×D4—82no—
693C22×D4#4118yes—
694C22×D4C2412yes—
695C22×D4C2412yes—
696C22×D4C2414yes—
697C22×D4C2412yes—
698C22×D4C2412yes—
699C22×D4C2414yes—
700C22×D4C2414yes—
701C22×D4C2414yes—
702C22×D4C2414yes—
703C23×C4—24no—
704C23×C4—24no—
705C23×C4—24no—
706C23×C4—24no—
707C23×C4—24no—
708C23×C4—44no—
709C23×C4—44no—
710C23×C4—82no—
711C23×C4—82no—
712C23×C4—82no—
713C23×C4—82no—
714C23×C4#4118yes—
715C23×C4C2412yes—
716C23×C4C2412yes—
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2412yes—
722C23×C4C2412yes—
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2412yes—
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2412yes—
729C23×C4C2412yes—
730C23×C4C2412yes—
731C23×C4C2412yes—
732C23×C4C2412yes—
733C23×C4C2414yes—
734C23×C4C2412yes—
735C23×C4C2412yes—
736C23×C4C2412yes—
737C23×C4C2412yes—
738C23×C4C2414yes—
739C23×C4C2414yes—
740C23×C4C2414yes—
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747#126—48no—
748#126—84no—
749#125—84no—
750#123—216no—
751#123—28no—
752#123—28no—
753#123—28no—
754#123—28no—
755#123—48no—
756#123—44no—
757#123—44no—
758#123—48no—
759#123—84no—
760#121—216no—
761#121—48no—
762#121—84no—
763#120—28no—
764#120—28no—
765#120—216no—
766#120—28no—
767#120—28no—
768#120—48no—
769#120—44no—
770#120—44no—
771C4×D4—28no—
772C4×D4—28no—
773C4×D4—28no—
774C4×D4—28no—
775C4×D4—28no—
776C4×D4—28no—
777C4×D4—28no—
778C4×D4—28no—
779C4×D4—48no—
780C4×D4—48no—
781C4×D4—48no—
782C4×D4—48no—
783C4×D4—48no—
784C4×D4—84no—
785C4×D4—84no—
786#117—48no—
787#117—48no—
788#117—44no—
789#117—44no—
790#117—84no—
791C2×C4⋊C4—24no—
792C2×C4⋊C4—24no—
793C2×C4⋊C4—28no—
794C2×C4⋊C4—44no—
795C2×C4⋊C4—44no—
796C2×C4⋊C4—82no—
797C2×C4⋊C4—82no—
798C2×C4⋊C4—82no—
799C2×C4⋊C4—84no—
800C2×C4⋊C4C2412yes—
801C2×C4⋊C4C2412yes—
802C2×C4⋊C4C2412yes—
803C2×C4⋊C4C2412yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C22⋊C4—24no—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—24no—
836C2×C22⋊C4—28no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—24no—
839C2×C22⋊C4—24no—
840C2×C22⋊C4—24no—
841C2×C22⋊C4—24no—
842C2×C22⋊C4—24no—
843C2×C22⋊C4—24no—
844C2×C22⋊C4—28no—
845C2×C22⋊C4—28no—
846C2×C22⋊C4—28no—
847C2×C22⋊C4—28no—
848C2×C22⋊C4—24no—
849C2×C22⋊C4—24no—
850C2×C22⋊C4—24no—
851C2×C22⋊C4—24no—
852C2×C22⋊C4—24no—
853C2×C22⋊C4—24no—
854C2×C22⋊C4—28no—
855C2×C22⋊C4—48no—
856C2×C22⋊C4—48no—
857C2×C22⋊C4—44no—
858C2×C22⋊C4—44no—
859C2×C22⋊C4—44no—
860C2×C22⋊C4—44no—
861C2×C22⋊C4—44no—
862C2×C22⋊C4—44no—
863C2×C22⋊C4—44no—
864C2×C22⋊C4—44no—
865C2×C22⋊C4—82no—
866C2×C22⋊C4—82no—
867C2×C22⋊C4—82no—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2412yes—
871C2×C22⋊C4C2412yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2412yes—
874C2×C22⋊C4C2412yes—
875C2×C22⋊C4C2412yes—
876C2×C22⋊C4C2412yes—
877C2×C22⋊C4C2412yes—
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2412yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C42—24no—
935C2×C42—24no—
936C2×C42—44no—
937C2×C42—82no—
938C2×C42C2412yes—
939C2×C42C2412yes—
940C2×C42C2412yes—
941C2×C42C2412yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
945C2×C42C2414yes—
946C2×C42C2414yes—
947C2×C42C2414yes—
948C2×C42C2414yes—
949C2×C42C2414yes—
950C2×C42C2414yes—
951C2×C42C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998C24—22no—
999C24—24no—
1000C24—22no—
1001C24—22no—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—24no—
1007C24—24no—
1008C24—24no—
1009C24—24no—
1010C24—24no—
1011C24—24no—
1012C24—24no—
1013C24—24no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—42no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24—42no—
1023C24—42no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24—42no—
1031C24—42no—
1032C24—42no—
1033C24—416no—
1034C24—416no—
1035C24—816no—
1036C24—816no—
1037C24—88no—
1038C24C2×#4114yes—
1039C24C2×#4114yes—
1040C24C2×#4114yes—
1041C24H(5,𝔽2)14yes—
1042C24C2512yes—
1043C24C2512yes—
1044C24C2512yes—
1045C24C2512yes—
1046C24C2511yescharacteristic
1047C24C2511yescharacteristic
1048C24C2511yescharacteristic
1049C2×D4—232no—
1050C2×D4—24no—
1051C2×D4—24no—
1052C2×D4—24no—
1053C2×D4—24no—
1054C2×D4—24no—
1055C2×D4—24no—
1056C2×D4—28no—
1057C2×D4—24no—
1058C2×D4—24no—
1059C2×D4—24no—
1060C2×D4—24no—
1061C2×D4—28no—
1062C2×D4—28no—
1063C2×D4—28no—
1064C2×D4—28no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—416no—
1076C2×D4—816no—
1077C2×D4—816no—
1078C2×D4C2×#4118yes—
1079C2×D4C2×#4118yes—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—24no—
1086C22×C4—24no—
1087C22×C4—24no—
1088C22×C4—24no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—24no—
1094C22×C4—22no—
1095C22×C4—24no—
1096C22×C4—22no—
1097C22×C4—24no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—24no—
1101C22×C4—24no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—24no—
1105C22×C4—24no—
1106C22×C4—24no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—28no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—24no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—42no—
1146C22×C4—44no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—416no—
1156C22×C4—88no—
1157C22×C4—88no—
1158C22×C4—88no—
1159C22×C4—816no—
1160C22×C4C2×#4114yes—
1161C22×C4C2×#4114yes—
1162C22×C4C2×#4114yes—
1163C22×C4C2×#4114yes—
1164C22×C4C2×#4114yes—
1165C22×C4C2×#4114yes—
1166C22×C4C2×#4114yes—
1167C22×C4C2514yes—
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2514yes—
1172C22×C4C2512yes—
1173C22×C4C2514yes—
1174C22×C4C2512yes—
1175C22×C4C2514yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2514yes—
1179C22×C4C2514yes—
1180C22×C4C2514yes—
1181C22×C4C2514yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2511yescharacteristic
1184C22×C4C2511yescharacteristic
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C4⋊C4—24no—
1188C4⋊C4—24no—
1189C4⋊C4—24no—
1190C4⋊C4—24no—
1191C4⋊C4—28no—
1192C4⋊C4—28no—
1193C4⋊C4—28no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C22⋊C4—24no—
1221C22⋊C4—24no—
1222C22⋊C4—24no—
1223C22⋊C4—24no—
1224C22⋊C4—24no—
1225C22⋊C4—24no—
1226C22⋊C4—24no—
1227C22⋊C4—24no—
1228C22⋊C4—24no—
1229C22⋊C4—24no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—28no—
1233C22⋊C4—24no—
1234C22⋊C4—24no—
1235C22⋊C4—24no—
1236C22⋊C4—24no—
1237C22⋊C4—24no—
1238C22⋊C4—24no—
1239C22⋊C4—24no—
1240C22⋊C4—24no—
1241C22⋊C4—24no—
1242C22⋊C4—24no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—24no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—24no—
1253C22⋊C4—24no—
1254C22⋊C4—24no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—24no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C42—24no—
1287C42—24no—
1288C42—24no—
1289C42—24no—
1290C42—44no—
1291C42—44no—
1292C42—44no—
1293C42—44no—
1294C42—44no—
1295C42—44no—
1296C42—44no—
1297C42—44no—
1298C42—44no—
1299C42—44no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—28no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—24no—
1314C23—22no—
1315C23—22no—
1316C23—24no—
1317C23—28no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—24no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—24no—
1329C23—22no—
1330C23—44no—
1331C23—44no—
1332C23—48no—
1333C23—48no—
1334C23—48no—
1335C23—48no—
1336C23—48no—
1337C23—48no—
1338C23—48no—
1339C23—48no—
1340C23—48no—
1341C23—48no—
1342C23—48no—
1343C23—44no—
1344C23—48no—
1345C23—44no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—48no—
1350C23—48no—
1351C23—44no—
1352C23—82no—
1353C23—82no—
1354C23—84no—
1355C23—82no—
1356C23—82no—
1357C23—84no—
1358C23—84no—
1359C23—84no—
1360C23—84no—
1361C23—84no—
1362C23—84no—
1363C23—84no—
1364C23—84no—
1365C23—84no—
1366C23—864no—
1367C23#553116yes—
1368C23C22×#4114yes—
1369C23C22×#4112yes—
1370C23C22×#4112yes—
1371C23C22×#4112yes—
1372C23C22×#4112yes—
1373C23C22×#4112yes—
1374C23C22×#4112yes—
1375C23C2×H(5,𝔽2)12yes—
1376C23C2×H(5,𝔽2)12yes—
1377C23C2×H(5,𝔽2)12yes—
1378C23#58514yes—
1379C23C2611yescharacteristic
1380D4—216no—
1381D4—216no—
1382D4—416no—
1383D4—48no—
1384D4—48no—
1385D4—88no—
1386D4—88no—
1387D4—88no—
1388D4—88no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—28no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—24no—
1400C2×C4—24no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—24no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—24no—
1420C2×C4—24no—
1421C2×C4—24no—
1422C2×C4—24no—
1423C2×C4—24no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—48no—
1444C2×C4—48no—
1445C2×C4—48no—
1446C2×C4—48no—
1447C2×C4—48no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—84no—
1452C2×C4—84no—
1453C2×C4—84no—
1454C2×C4—84no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—84no—
1458C2×C4—84no—
1459C2×C4—82no—
1460C2×C4—82no—
1461C2×C4—88no—
1462C2×C4—84no—
1463C2×C4—84no—
1464C2×C4—84no—
1465C2×C4—88no—
1466C2×C4—164no—
1467C2×C4—164no—
1468C2×C4C22×#4112yes—
1469C2×C4C22×#4112yes—
1470C2×C4C22×#4112yes—
1471C2×C4C22×#4112yes—
1472C2×C4C22×#4114yes—
1473C22—24no—
1474C22—24no—
1475C22—24no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—24no—
1483C22—24no—
1484C22—24no—
1485C22—24no—
1486C22—28no—
1487C22—24no—
1488C22—24no—
1489C22—24no—
1490C22—416no—
1491C22—416no—
1492C22—42no—
1493C22—42no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—44no—
1498C22—42no—
1499C22—42no—
1500C22—44no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—44no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—88no—
1512C22—816no—
1513C22—816no—
1514C22—88no—
1515C22—88no—
1516C22C2×#55314yes—
1517C22C2×#55314yes—
1518C22C2×#55314yes—
1519C22C23×#4111yescharacteristic
1520C22C23×#4111yescharacteristic
1521C22C22×H(5,𝔽2)11yescharacteristic
1522C22C2×#58512yes—
1523C22H(7,𝔽2)12yes—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—24no—
1529C4—44no—
1530C4—44no—
1531C4—44no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—42no—
1536C4—44no—
1537C4—44no—
1538C4—44no—
1539C4—44no—
1540C4—44no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C2—24no—
1545C2—24no—
1546C2—24no—
1547C2—44no—
1548C2—44no—
1549C2—82no—
1550C2—82no—
1551C2C22×#55311yescharacteristic
1552C2#6281411yescharacteristic
1553C2#6284411yescharacteristic
1554C2#6290012yes—
1555C2#6299012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35348C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59301C2semidirect
2. #59300C2semidirect
3. #59210C2semidirect
4. #59207C2semidirect
5. #43941C2semidirect
6. #43936C2semidirect
7. #43059C2semidirect
8. #43054C2semidirect
9. #39255C2semidirect
10. #39253C2semidirect
11. #39184C2semidirect
12. #36520C2semidirect
13. #35456C2semidirect
14. #35447C2semidirect
15. #35369C2semidirect
17. #35097C2semidirect
18. #35020C2semidirect
19. #34992C2semidirect
20. C2×#2534C2semidirect
21. C2×#2534C2semidirect
22. #34199C2semidirect
23. #34198C2semidirect
24. #34185C2semidirect
25. #34181C2semidirect
26. C2×#2342C2semidirect
27. C4×#534C2semidirect
40. #2853C22semidirect
41. #2851C22semidirect
42. #2849C22semidirect
43. #2801C22semidirect
44. #2800C22semidirect
45. #2795C22semidirect
46. #2793C22semidirect
47. #2790C22semidirect
48. #2786C22semidirect
49. #2783C22semidirect
50. #2782C22semidirect
51. #2781C22semidirect
52. #2780C22semidirect
53. #2779C22semidirect
54. #2779C22semidirect
55. #2778C22semidirect
56. #2778C22semidirect
57. #2772C22semidirect
58. #2765C22semidirect
59. #2757C22semidirect
60. #2756C22semidirect
61. #2753C22semidirect
62. #2750C22semidirect
63. #2725C22semidirect
64. #2718C22semidirect
65. #2711C22semidirect
66. #2708C22semidirect
67. #2646C22semidirect
68. #2623C22semidirect
69. #2622C22semidirect
70. #2608C22semidirect
71. #2602C22semidirect
72. #2601C22semidirect
73. #2598C22semidirect
74. #2595C22semidirect
75. #2595C22semidirect
76. #2594C22semidirect
77. #2593C22semidirect
78. #2591C22semidirect
79. #2587C22semidirect
80. #2587C22semidirect
81. #2579C22semidirect
82. #2578C22semidirect
83. #2576C22semidirect
84. #2576C22semidirect
85. #2573C22semidirect
86. #2569C22semidirect
87. #2569C22semidirect
88. #2559C22semidirect
89. #2558C22semidirect
95. #2534C22semidirect
96. #2534C22semidirect
97. #2534C22semidirect
98. #2534C22semidirect
99. #2534C22semidirect
100. #2534C22semidirect
101. #2534C22semidirect
102. #2534C22semidirect
103. #2534C22semidirect
104. #2531C22semidirect
105. #2529C22semidirect
106. #2525C22semidirect
107. #2525C22semidirect
108. #2518C22semidirect
109. #2518C22semidirect
110. #2516C22semidirect
111. #2515C22semidirect
112. #2510C22semidirect
113. #2498C22semidirect
114. #2498C22semidirect
115. #2493C22semidirect
116. #2493C22semidirect
117. #2493C22semidirect
118. #2493C22semidirect
119. #2493C22semidirect
120. #2493C22semidirect
121. #2486C22semidirect
122. #2484C22semidirect
123. #2483C22semidirect
124. #2482C22semidirect
125. #2481C22semidirect
126. #2480C22semidirect
127. #2480C22semidirect
128. #2480C22semidirect
129. #2480C22semidirect
130. #2480C22semidirect
131. #2480C22semidirect
132. #2476C22semidirect
133. #2470C22semidirect
134. #2468C22semidirect
135. #2467C22semidirect
136. #2460C22semidirect
137. #2457C22semidirect
138. #2444C22semidirect
139. #2443C22semidirect
140. #2442C22semidirect
141. #2442C22semidirect
142. #2425C22semidirect
143. #2425C22semidirect
146. #2413C22semidirect
149. #2412C22semidirect
153. #2405C22semidirect
154. C2×#396C22semidirect
155. C2×#396C22semidirect
156. C2×#394C22semidirect
157. C2×#394C22semidirect
158. #2374C22semidirect
159. #2373C22semidirect
160. #2364C22semidirect
161. #2359C22semidirect
162. #2359C22semidirect
165. #2353C22semidirect
166. #2353C22semidirect
167. #2353C22semidirect
168. #2352C22semidirect
169. #2352C22semidirect
170. #2349C22semidirect
171. #2349C22semidirect
172. D4×C4⋊C4C22semidirect
173. D4×C4⋊C4C22semidirect
174. #2344C22semidirect
175. #2342C22semidirect
176. #2342C22semidirect
177. #2342C22semidirect
178. #2342C22semidirect
179. #2342C22semidirect
180. #2342C22semidirect
181. D4×C22⋊C4C22semidirect
182. #2325C22semidirect
183. #2322C22semidirect
184. #2322C22semidirect
185. #2322C22semidirect
186. #2321C22semidirect
187. #2321C22semidirect
188. #2321C22semidirect
189. #2316C22semidirect
197. #2315C22semidirect
198. #2313C22semidirect
199. #2312C22semidirect
204. C4×#123C22semidirect
205. C4×#123C22semidirect
206. C4×#123C22semidirect
207. C4×#121C22semidirect
208. C4×#120C22semidirect
209. C4×#120C22semidirect
210. C4×#120C22semidirect
211. C2×#388C22semidirect
212. C2×#388C22semidirect
213. C2×#388C22semidirect
214. C2×#388C22semidirect
215. C2×#386C22semidirect
216. C2×#386C22semidirect
217. C2×#385C22semidirect
218. #2285C22semidirect
219. #2283C22semidirect
220. #2280C22semidirect
227. C2×#380C22semidirect
234. C2×C4×C22⋊C4C22semidirect
248. C2×#125C23semidirect
292. C2×C4×D4C23semidirect
298. C2×#117C23semidirect
307. C22×C4⋊C4C23semidirect
349. #401C23semidirect
350. #401C23semidirect
351. #400C23semidirect
352. #400C23semidirect
353. #400C23semidirect
354. #400C23semidirect
355. #400C23semidirect
356. #400C23semidirect
357. #400C23semidirect
358. #400C23semidirect
359. #400C23semidirect
360. #400C23semidirect
361. #400C23semidirect
362. #400C23semidirect
363. #399C23semidirect
364. #399C23semidirect
365. #398C23semidirect
366. #398C23semidirect
367. #398C23semidirect
368. #398C23semidirect
369. #398C23semidirect
370. #398C23semidirect
371. #398C23semidirect
372. #398C23semidirect
383. #397C23semidirect
384. #397C23semidirect
385. #397C23semidirect
386. #397C23semidirect
399. #396C23semidirect
400. #396C23semidirect
417. #394C23semidirect
418. #394C23semidirect
425. #390C23semidirect
426. #389C23semidirect
427. #389C23semidirect
428. #389C23semidirect
429. #389C23semidirect
430. #389C23semidirect
431. #389C23semidirect
432. #389C23semidirect
433. #389C23semidirect
434. #389C23semidirect
435. #389C23semidirect
436. #389C23semidirect
465. #388C23semidirect
466. #388C23semidirect
467. #388C23semidirect
468. #388C23semidirect
469. #388C23semidirect
470. #388C23semidirect
471. #388C23semidirect
472. #388C23semidirect
473. #388C23semidirect
474. #388C23semidirect
475. #388C23semidirect
476. #388C23semidirect
477. #388C23semidirect
478. #388C23semidirect
479. #388C23semidirect
480. #388C23semidirect
481. #388C23semidirect
482. #388C23semidirect
483. #387C23semidirect
484. #387C23semidirect
485. #387C23semidirect
486. #387C23semidirect
487. #387C23semidirect
488. #387C23semidirect
489. #387C23semidirect
490. #387C23semidirect
491. #387C23semidirect
492. #387C23semidirect
493. #387C23semidirect
494. #387C23semidirect
495. #387C23semidirect
496. #387C23semidirect
497. #387C23semidirect
498. #387C23semidirect
499. #387C23semidirect
500. #387C23semidirect
501. #387C23semidirect
502. #387C23semidirect
503. #387C23semidirect
504. #387C23semidirect
505. #387C23semidirect
506. #387C23semidirect
533. #386C23semidirect
534. #386C23semidirect
535. #386C23semidirect
536. #386C23semidirect
561. #385C23semidirect
562. #385C23semidirect
563. #385C23semidirect
564. #385C23semidirect
565. #385C23semidirect
566. #385C23semidirect
567. #385C23semidirect
568. #385C23semidirect
569. #384C23semidirect
570. #383C23semidirect
571. #383C23semidirect
572. #383C23semidirect
573. #382C23semidirect
574. #382C23semidirect
575. #382C23semidirect
590. #381C23semidirect
612. #380C23semidirect
613. #380C23semidirect
614. #380C23semidirect
615. #380C23semidirect
616. #380C23semidirect
629. C4×C4⋊C4C23semidirect
630. C4×C4⋊C4C23semidirect
631. C4×C4⋊C4C23semidirect
632. C4×C4⋊C4C23semidirect
633. C4×C4⋊C4C23semidirect
634. C4×C4⋊C4C23semidirect
653. C4×C22⋊C4C23semidirect
654. C4×C22⋊C4C23semidirect
655. C4×C22⋊C4C23semidirect
656. C4×C22⋊C4C23semidirect
657. C4×C22⋊C4C23semidirect
658. #376C23semidirect
669. C2×#95C23semidirect

Maximal subgroups

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

subgroupindex
#593012
#593002
#592102
#592072
#439412
#439362
#430592
#430542
#392552
#392532
#391842
#365202
#354562
#354472
#353692
#353482
#350972
#350202
#349922
C2×#25342
#341992
#341982
#341852
#341812
C2×#23422
C4×#5342