Finite Group Databasebeta

← #7682467

Subgroups — #7682467

Order 512.

8166 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3491C211yesmaximal, characteristic, complemented
2C2×#3485C211yesmaximal, characteristic
3#59801C214yesmaximal, complemented
4#59311C214yesmaximal, complemented
5#59032C214yesmaximal, complemented
6#59031C214yesmaximal, complemented
7#59012C214yesmaximal, complemented
8#59010C214yesmaximal, complemented
9#44761C214yesmaximal, complemented
10#44494C214yesmaximal, complemented
11#43525C214yesmaximal, complemented
12#43496C214yesmaximal, complemented
13#43026C214yesmaximal, complemented
14#43016C214yesmaximal, complemented
15#35455C211yesmaximal, characteristic, complemented
16#35448C211yesmaximal, characteristic, complemented
17#35447C211yesmaximal, characteristic, complemented
18#35446C211yesmaximal, characteristic, complemented
19#35360C211yesmaximal, characteristic, complemented
20#35359C211yesmaximal, characteristic, complemented
21C2×#2486C211yesmaximal, characteristic, complemented
22C2×#2413C211yesmaximal, characteristic, complemented
23C2×#2406C211yesmaximal, characteristic, complemented
24#34264C211yesmaximal, characteristic, complemented
25#34256C211yesmaximal, characteristic, complemented
26#34199C211yesmaximal, characteristic, complemented
27#34172C211yesmaximal, characteristic, complemented
28C22×H(5,𝔽2)C2211yescharacteristic
29C23×#41C2211yescharacteristic
30#3491—216no—
31#3485—216no—
32C2×#552C2214yescomplemented
33C2×#552C2214yescomplemented
34C2×#551C2214yescomplemented
35C2×#551C2214yescomplemented
36C2×#547C2214yes—
37C2×#547C2214yes—
38C2×#546C2214yes—
39C2×#546C2214yes—
40C2×#543C2211yescharacteristic, complemented
41C2×#539C2214yescomplemented
42C2×#536C2212yes—
43C2×#534C2212yes—
44C2×#534C2211yescharacteristic
45C2×#534C2211yescharacteristic
46C2×#529C2214yescomplemented
47C2×#525C2212yes—
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2212yes—
51C22×#123C2211yescharacteristic
52C22×#123C2211yescharacteristic
53C22×#123C2211yescharacteristic
54C22×#123C2211yescharacteristic, complemented
55C2×#518C2211yescharacteristic
56C2×#518C2211yescharacteristic
57C2×#518C2211yescharacteristic, complemented
58C2×#518C2211yescharacteristic, complemented
59C22×C4×D4C2211yescharacteristic
60C22×#117C2211yescharacteristic, complemented
61C23×C4⋊C4C2211yescharacteristic, complemented
62#2715C2214yescomplemented
63#2713C2214yescomplemented
64#2713C2214yescomplemented
65#2708C2214yescomplemented
66#2708C2214yescomplemented
67#2707C2214yescomplemented
68#2704C2214yescomplemented
69#2701C2214yescomplemented
70#2700C2214yescomplemented
71#2698C2214yescomplemented
72#2698C2214yescomplemented
73#2697C2214yescomplemented
74#2695C2214yescomplemented
75#2695C2214yescomplemented
76#2694C2214yescomplemented
77#2691C2214yescomplemented
78#2690C2214yescomplemented
79#2689C2214yescomplemented
80#2689C2214yescomplemented
81#2687C2214yescomplemented
82#2687C2214yescomplemented
83#2686C2214yescomplemented
84#2684C2214yescomplemented
85#2681C2214yescomplemented
86#2564C2214yescomplemented
87#2561C2214yescomplemented
88#2559C2214yescomplemented
89#2558C2214yescomplemented
90#2556C2214yescomplemented
91#2553C2214yescomplemented
92#2553C2214yescomplemented
93#2550C2214yescomplemented
94#2549C2214yescomplemented
95#2549C2214yescomplemented
96#2534C2214yescomplemented
97#2534C2212yescomplemented
98#2534C2212yescomplemented
99#2521C2214yescomplemented
100#2503C2214yescomplemented
101#2498C2214yescomplemented
102#2488C2214yescomplemented
103#2488C2214yescomplemented
104#2488C2214yescomplemented
105#2488C2214yescomplemented
106#2486C2214yescomplemented
107#2486C2214yescomplemented
108#2486C2212yescomplemented
109#2486C2212yescomplemented
110#2486C2214yescomplemented
111#2486C2214yescomplemented
112#2484C2214yescomplemented
113#2483C2214yescomplemented
114#2480C2214yescomplemented
115#2480C2214yescomplemented
116#2476C2214yescomplemented
117#2474C2214yescomplemented
118#2473C2214yescomplemented
119#2473C2214yescomplemented
120#2470C2214yescomplemented
121#2470C2214yescomplemented
122#2468C2214yescomplemented
123#2466C2214yescomplemented
124#2465C2214yescomplemented
125#2458C2214yescomplemented
126#2451C2214yescomplemented
127#2450C2214yescomplemented
128#2450C2214yescomplemented
129#2449C2214yescomplemented
130#2447C2214yescomplemented
131#2444C2214yescomplemented
132#2444C2214yescomplemented
133#2443C2214yescomplemented
134#2442C2214yescomplemented
135#2438C2214yescomplemented
136#2438C2214yescomplemented
137#2438C2214yescomplemented
138#2437C2214yescomplemented
139#2437C2214yescomplemented
140#2427C2214yescomplemented
141#2425C2214yescomplemented
142#2425C2214yescomplemented
143#2425C2214yescomplemented
144#2420C2214yescomplemented
145#2419C2214yescomplemented
146#2419C2214yescomplemented
147#2419C2214yescomplemented
148#2419C2214yescomplemented
149#2419C2214yescomplemented
150#2419C2214yescomplemented
151#2419C2214yescomplemented
152#2418C2214yescomplemented
153#2418C2214yescomplemented
154#2417C2214yescomplemented
155#2413C2214yescomplemented
156#2413C2214yescomplemented
157#2413C2214yescomplemented
158#2413C2214yescomplemented
159#2413C2214yescomplemented
160#2412C2214yescomplemented
161#2412C2214yescomplemented
162#2406C2214yes—
163#2406C2214yescomplemented
164#2406C2214yescomplemented
165#2406C2212yescomplemented
166#2406C2214yescomplemented
167#2406C2212yescomplemented
168#2406C2214yescomplemented
169#2406C2214yescomplemented
170#2405C2214yes—
171#2405C2214yescomplemented
172#2405C2212yescomplemented
173#2405C2212yescomplemented
174C2×#398C2212yescomplemented
175C2×#398C2212yescomplemented
176C2×#397C2212yescomplemented
177C2×#396C2212yescomplemented
178C2×#395C2212yescomplemented
179C2×#394C2212yescomplemented
180#2364C2214yescomplemented
181#2361C2214yescomplemented
182#2360C2214yescomplemented
183#2359C2214yescomplemented
184#2359C2214yescomplemented
185#2359C2214yescomplemented
186#2359C2214yescomplemented
187#2358C2214yescomplemented
188#2349C2214yescomplemented
189#2344C2214yescomplemented
190#2342C2214yescomplemented
191#2342C2214yescomplemented
192#2339C2214yes—
193#2339C2214yescomplemented
194#2339C2214yescomplemented
195#2339C2214yescomplemented
196#2339C2214yescomplemented
197#2339C2214yescomplemented
198D4×C22⋊C4C2214yes—
199D4×C22⋊C4C2214yescomplemented
200#2322C2214yescomplemented
201#2322C2212yescomplemented
202#2321C2212yescomplemented
203#2315C2211yescharacteristic, complemented
204#2315C2211yescharacteristic, complemented
205#2311C2212yescomplemented
206#2310C2212yescomplemented
207#2308C2211yescharacteristic
208#2308C2211yescharacteristic
209#2308C2211yescharacteristic
210#2308C2211yescharacteristic
211#2308C2211yescharacteristic
212#2308C2212yescomplemented
213#2308C2212yescomplemented
214C4×#123C2214yescomplemented
215C4×#123C2212yescomplemented
216C4×#120C2212yescomplemented
217#2297C2212yescomplemented
218C2×#389C2212yescomplemented
219C2×#389C2212yescomplemented
220C2×#388C2212yescomplemented
221C2×#386C2211yescharacteristic
222C2×#386C2211yescharacteristic
223C2×#386C2211yescharacteristic, complemented
224C2×#386C2212yescomplemented
225C2×#385C2211yescharacteristic, complemented
226C2×#385C2212yescomplemented
227C2×#385C2212yescomplemented
228#2280C2212yescomplemented
229C2×#381C2211yescharacteristic, complemented
230C2×#381C2211yescharacteristic, complemented
231C2×#381C2211yescharacteristic, complemented
232C2×#381C2211yescharacteristic, complemented
233C2×#381C2212yescomplemented
234C2×#380C2211yescharacteristic, complemented
235C2×#380C2212yescomplemented
236#2273C2211yescharacteristic, complemented
237C2×H(5,𝔽2)—28no—
238C2×H(5,𝔽2)—28no—
239C2×H(5,𝔽2)—44no—
240C22×#41—28no—
241C22×#41—28no—
242C22×#41—44no—
243C22×#41C2314yes—
244C22×#41C2314yes—
245C22×#41C2312yes—
246C22×#41C2312yes—
247C22×#41C2312yes—
248C23×Q8C2311yescharacteristic
249C23×D4C2311yescharacteristic
250C23×D4C2311yescharacteristic
251C23×D4C2312yes—
252C23×D4C2312yes—
253C23×D4C2312yes—
254C23×D4C2311yescharacteristic
255C23×D4C2311yescharacteristic
256C23×D4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263#552—232no—
264#552—232no—
265#551—232no—
266#551—232no—
267#547—232no—
268#547—232no—
269#546—232no—
270#546—232no—
271#543—28no—
272#539—232no—
273#536—216no—
274#534—28no—
275#534—216no—
276#534D4116yes—
277C2×C4⋊Q8C2314yes—
278#529—232no—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#125C2314yes—
284C2×#125C2314yes—
285C2×#125C2314yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288#525—216no—
289C2×#123—28no—
290C2×#123—28no—
291C2×#123—28no—
292C2×#123—28no—
293C2×#123—216no—
294C2×#123—28no—
295C2×#123—44no—
296C2×#123C2312yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2312yes—
300C2×#123C2312yes—
301C2×#123C2312yes—
302C2×#123C2312yes—
303C2×#123C2314yes—
304C2×#123C2312yes—
305C2×#123C2312yes—
306C2×#123C2312yes—
307C2×#123C2312yes—
308C2×#123C2312yes—
309C2×#123C2314yes—
310C2×#123C2312yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2312yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×#123C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#120C2312yes—
338C2×#120C2312yes—
339C2×#120C2314yes—
340C2×#120C2312yes—
341C2×#120C2312yes—
342#518—28no—
343#518—28no—
344#518—28no—
345#518—44no—
346C2×C4×Q8C2314yes—
347C2×C4×D4—44no—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×#117—28no—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2314yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2314yes—
372C2×#117C2312yes—
373C22×C4⋊C4—44no—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2312yes—
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2311yescharacteristic
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2314yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2311yescharacteristic
415C22×C22⋊C4C2311yescharacteristic
416C22×C22⋊C4C2311yescharacteristic
417C22×C42C2312yes—
418C22×C42C2311yescharacteristic
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#386C2312yes—
552#386C2312yes—
553#386C2312yes—
554#386C2312yes—
555#386C2312yes—
556#386C2314yes—
557#386C2314yes—
558#386C2312yes—
559#386C2314yes—
560#386C2314yes—
561#386C2312yes—
562#386C2312yes—
563#386C2314yes—
564#386C2314yes—
565#386C2312yes—
566#386C2312yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2312yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2312yes—
583#386C2312yes—
584#386C2314yes—
585#386C2314yes—
586#386C2312yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2312yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2312yes—
616#385C2314yes—
617#382C2314yes—
618#382C2314yes—
619#381C2314yes—
620#381C2314yes—
621#381C2312yes—
622#381C2312yes—
623#381C2312yes—
624#381C2312yes—
625#381C2312yes—
626#381C2312yes—
627#381C2312yes—
628#381C2314yes—
629#381C2312yes—
630#381C2314yes—
631#381C2314yes—
632#381C2314yes—
633#381C2314yes—
634#381C2314yes—
635#381C2314yes—
636#381C2314yes—
637#381C2312yes—
638#381C2314yes—
639#381C2312yes—
640#381C2312yes—
641#380C2312yes—
642#380C2314yes—
643#380C2314yes—
644#380C2314yes—
645#380C2314yes—
646#380C2312yes—
647#380C2314yes—
648#380C2314yes—
649#380C2314yes—
650#380C2314yes—
651#380C2314yes—
652#380C2314yes—
653#380C2314yes—
654#380C2314yes—
655#380C2314yes—
656#380C2314yes—
657#379C2312yes—
658#379C2312yes—
659#379C2312yes—
660#379C2312yes—
661#379C2312yes—
662#379C2314yes—
663#379C2314yes—
664#379C2314yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2314yes—
667C4×C4⋊C4C2314yes—
668C4×C22⋊C4C2314yes—
669C4×C22⋊C4C2312yes—
670C4×C22⋊C4C2312yes—
671C4×C22⋊C4C2314yes—
672C4×C22⋊C4C2314yes—
673C4×C22⋊C4C2314yes—
674C4×C22⋊C4C2314yes—
675C4×C22⋊C4C2314yes—
676C4×C22⋊C4C2314yes—
677C4×C22⋊C4C2314yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2314yes—
680C2×#95C2312yes—
681C2×#95C2312yes—
682C2×#95C2314yes—
683C2×#95C2314yes—
684C2×#95C2314yes—
685C2×#95C2312yes—
686C2×#95C2312yes—
687C2×#95C2312yes—
688C2×#95C2312yes—
689C2×#95C2312yes—
690C2×#95C2312yes—
691C2×#95C2312yes—
692C2×#95C2312yes—
693C2×#95C2312yes—
694C2×#95C2312yes—
695C2×#95C2312yes—
696C25C2411yescharacteristic
697C25C2412yes—
698C25C2411yescharacteristic
699C25C2411yescharacteristic
700C25C2411yescharacteristic
701C25C2411yescharacteristic
702H(5,𝔽2)—464no—
703C2×#41—28no—
704C2×#41—216no—
705C2×#41—216no—
706C2×#41—28no—
707C2×#41—216no—
708C2×#41—216no—
709C2×#41—28no—
710C2×#41—28no—
711C2×#41—28no—
712C2×#41—28no—
713C2×#41—48no—
714C2×#41—48no—
715C2×#41—44no—
716C2×#41—44no—
717C2×#41—44no—
718C2×#41—464no—
719C22×Q8—24no—
720C22×Q8—24no—
721C22×Q8—42no—
722C22×Q8C2414yes—
723C22×Q8C2412yes—
724C22×Q8C2414yes—
725C22×D4—24no—
726C22×D4—24no—
727C22×D4—24no—
728C22×D4—24no—
729C22×D4—24no—
730C22×D4—24no—
731C22×D4—24no—
732C22×D4—24no—
733C22×D4—28no—
734C22×D4—24no—
735C22×D4—28no—
736C22×D4—24no—
737C22×D4—24no—
738C22×D4—28no—
739C22×D4—28no—
740C22×D4—28no—
741C22×D4—28no—
742C22×D4—42no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4C2×D418yes—
747C22×D4C2×D418yes—
748C22×D4#4118yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C23×C4—24no—
764C23×C4—24no—
765C23×C4—24no—
766C23×C4—24no—
767C23×C4—24no—
768C23×C4—24no—
769C23×C4—24no—
770C23×C4—24no—
771C23×C4—24no—
772C23×C4—24no—
773C23×C4—24no—
774C23×C4—44no—
775C23×C4—44no—
776C23×C4—42no—
777C23×C4—42no—
778C23×C4—42no—
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2414yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2411yescharacteristic
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2411yescharacteristic
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2414yes—
806C23×C4C2411yescharacteristic
807C23×C4C2414yes—
808C23×C4C2411yescharacteristic
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2414yes—
812C23×C4C2414yes—
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C4⋊Q8—216no—
817#126—216no—
818#126—216no—
819#126—216no—
820#126—216no—
821#125—216no—
822#125—216no—
823#125—216no—
824#124—216no—
825#124—216no—
826#123—28no—
827#123—28no—
828#123—28no—
829#123—28no—
830#123—28no—
831#123—28no—
832#123—216no—
833#123—216no—
834#123—216no—
835#123—28no—
836#123—216no—
837#123—216no—
838#123—28no—
839#123—216no—
840#123—28no—
841#123—28no—
842#123—216no—
843#123—28no—
844#123—28no—
845#123—216no—
846#123—216no—
847#123—216no—
848#123—48no—
849#123—48no—
850#123—48no—
851#123C2×D4116yes—
852#123C2×D4116yes—
853C22⋊Q8—216no—
854C22⋊Q8—216no—
855C22⋊Q8—216no—
856C22⋊Q8—216no—
857C22⋊Q8—216no—
858C22⋊Q8—216no—
859C22⋊Q8—216no—
860C22⋊Q8—216no—
861C22⋊Q8—48no—
862#121—216no—
863#121—216no—
864#121—216no—
865#121—216no—
866#121C2×D4132yes—
867#120—28no—
868#120—28no—
869#120—216no—
870#120C2×D4116yes—
871#120C2×D4116yes—
872C4×Q8—216no—
873C4×D4—216no—
874C4×D4—216no—
875C4×D4—216no—
876C4×D4—216no—
877C4×D4—216no—
878C4×D4—216no—
879C4×D4—216no—
880C4×D4—216no—
881C4×D4—216no—
882C4×D4—48no—
883C4×D4—48no—
884C4×D4—48no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889#117—28no—
890#117—28no—
891#117—216no—
892#117—216no—
893#117—28no—
894#117—216no—
895#117—216no—
896#117—44no—
897C2×C4⋊C4—28no—
898C2×C4⋊C4—28no—
899C2×C4⋊C4—28no—
900C2×C4⋊C4—28no—
901C2×C4⋊C4—28no—
902C2×C4⋊C4—28no—
903C2×C4⋊C4—216no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4—44no—
911C2×C4⋊C4—44no—
912C2×C4⋊C4—42no—
913C2×C4⋊C4—42no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C22⋊C4—24no—
957C2×C22⋊C4—24no—
958C2×C22⋊C4—24no—
959C2×C22⋊C4—24no—
960C2×C22⋊C4—28no—
961C2×C22⋊C4—28no—
962C2×C22⋊C4—28no—
963C2×C22⋊C4—28no—
964C2×C22⋊C4—28no—
965C2×C22⋊C4—28no—
966C2×C22⋊C4—24no—
967C2×C22⋊C4—24no—
968C2×C22⋊C4—24no—
969C2×C22⋊C4—28no—
970C2×C22⋊C4—28no—
971C2×C22⋊C4—216no—
972C2×C22⋊C4—44no—
973C2×C22⋊C4—48no—
974C2×C22⋊C4—44no—
975C2×C22⋊C4—44no—
976C2×C22⋊C4—44no—
977C2×C22⋊C4—42no—
978C2×C22⋊C4—42no—
979C2×C22⋊C4—42no—
980C2×C22⋊C4C2×D418yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C42—28no—
1036C2×C42—42no—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089C24—22no—
1090C24—22no—
1091C24—22no—
1092C24—22no—
1093C24—22no—
1094C24—22no—
1095C24—24no—
1096C24—22no—
1097C24—24no—
1098C24—22no—
1099C24—22no—
1100C24—42no—
1101C24—42no—
1102C24—42no—
1103C24—42no—
1104C24—42no—
1105C24—42no—
1106C24—42no—
1107C24—42no—
1108C24—42no—
1109C24—42no—
1110C24—42no—
1111C24—44no—
1112C24—44no—
1113C24C22×D414yes—
1114C24C22×D414yes—
1115C24C22×D414yes—
1116C24C2×#4114yes—
1117C24C2×#4114yes—
1118C24H(5,𝔽2)14yes—
1119C24C2512yes—
1120C24C2512yes—
1121C24C2512yes—
1122C24C2512yes—
1123C24C2511yescharacteristic
1124C24C2511yescharacteristic
1125C24C2511yescharacteristic
1126#41—432no—
1127#41—432no—
1128#41—464no—
1129#41—464no—
1130#41—432no—
1131C2×Q8—28no—
1132C2×Q8—24no—
1133C2×Q8—28no—
1134C2×Q8—28no—
1135C2×Q8—24no—
1136C2×Q8—44no—
1137C2×Q8—42no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—416no—
1141C2×D4—232no—
1142C2×D4—232no—
1143C2×D4—232no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—28no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—28no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—44no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—432no—
1180C2×D4—432no—
1181C2×D4—432no—
1182C2×D4—416no—
1183C2×D4—416no—
1184C2×D4C22×D418yes—
1185C2×D4C22×D418yes—
1186C2×D4C22×D418yes—
1187C2×D4C22×D418yes—
1188C2×D4C22×D4116yes—
1189C2×D4C2×#4118yes—
1190C2×D4C2×#4118yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—28no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—28no—
1253C22×C4—28no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—416no—
1291C22×C4—416no—
1292C22×C4—416no—
1293C22×C4—416no—
1294C22×C4—416no—
1295C22×C4—88no—
1296C22×C4C22×D414yes—
1297C22×C4C22×D414yes—
1298C22×C4C22×D418yes—
1299C22×C4C2×#4114yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2514yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4C22×D4116yes—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4C22×D418yes—
1412C22⋊C4C22×D4116yes—
1413C22⋊C4C22×D418yes—
1414C22⋊C4C22×D4116yes—
1415C42—28no—
1416C42—28no—
1417C42—28no—
1418C42—28no—
1419C42—28no—
1420C42—44no—
1421C42—44no—
1422C42—42no—
1423C42—42no—
1424C42—44no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—24no—
1441C23—24no—
1442C23—24no—
1443C23—28no—
1444C23—28no—
1445C23—28no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—24no—
1450C23—24no—
1451C23—44no—
1452C23—48no—
1453C23—48no—
1454C23—44no—
1455C23—48no—
1456C23—48no—
1457C23—48no—
1458C23—48no—
1459C23—44no—
1460C23—82no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—84no—
1470C23—84no—
1471C23—82no—
1472C23—82no—
1473C23—88no—
1474C23—88no—
1475C23—162no—
1476C23—162no—
1477C23#546116yes—
1478C23C23×D414yes—
1479C23C23×D414yes—
1480C23C23×D412yes—
1481C23C23×D412yes—
1482C23C23×D412yes—
1483C23C22×#4114yes—
1484C23C22×#4112yes—
1485C23C22×#4112yes—
1486C23C22×#4112yes—
1487C23C2×H(5,𝔽2)12yes—
1488C23C2×H(5,𝔽2)12yes—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2611yescharacteristic
1491Q8—416no—
1492Q8—48no—
1493Q8—88no—
1494D4—216no—
1495D4—216no—
1496D4—216no—
1497D4—216no—
1498D4—216no—
1499D4—216no—
1500D4—416no—
1501D4—48no—
1502D4—48no—
1503D4—48no—
1504D4—416no—
1505D4—48no—
1506D4—48no—
1507D4—88no—
1508C2×C4—28no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—28no—
1520C2×C4—28no—
1521C2×C4—28no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—48no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—48no—
1567C2×C4—416no—
1568C2×C4—416no—
1569C2×C4—48no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—88no—
1582C2×C4—88no—
1583C2×C4—84no—
1584C2×C4—88no—
1585C2×C4—88no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—82no—
1591C2×C4—82no—
1592C2×C4—82no—
1593C2×C4—82no—
1594C2×C4—162no—
1595C2×C4—162no—
1596C2×C4C23×D418yes—
1597C2×C4C23×D414yes—
1598C2×C4C23×D414yes—
1599C2×C4C22×#4114yes—
1600C2×C4#58514yes—
1601C22—24no—
1602C22—24no—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—24no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—28no—
1614C22—28no—
1615C22—28no—
1616C22—24no—
1617C22—24no—
1618C22—24no—
1619C22—416no—
1620C22—44no—
1621C22—44no—
1622C22—44no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—44no—
1630C22—44no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—88no—
1635C22—88no—
1636C22—88no—
1637C22—164no—
1638C22—168no—
1639C22C2×#54614yes—
1640C22C2×#54614yes—
1641C22C2×#54614yes—
1642C22C24×D411yescharacteristic
1643C22C23×#4111yescharacteristic
1644C22C22×H(5,𝔽2)11yescharacteristic
1645C22C2×#58512yes—
1646C222−1+612yes—
1647C4—28no—
1648C4—24no—
1649C4—24no—
1650C4—24no—
1651C4—24no—
1652C4—44no—
1653C4—44no—
1654C4—44no—
1655C4—44no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C2—24no—
1668C2—24no—
1669C2—24no—
1670C2—44no—
1671C2—44no—
1672C2—44no—
1673C2—82no—
1674C2C22×#54611yescharacteristic
1675C2#6282011yescharacteristic
1676C2#6287111yescharacteristic
1677C2#6298812yes—
1678C2#6299112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3485C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3491C2semidirect
3. #59801C2semidirect
4. #59311C2semidirect
5. #59032C2semidirect
6. #59031C2semidirect
7. #59012C2semidirect
8. #59010C2semidirect
9. #44761C2semidirect
10. #44494C2semidirect
11. #43525C2semidirect
12. #43496C2semidirect
13. #43026C2semidirect
14. #43016C2semidirect
15. #35455C2semidirect
16. #35448C2semidirect
17. #35447C2semidirect
18. #35446C2semidirect
19. #35360C2semidirect
20. #35359C2semidirect
21. C2×#2486C2semidirect
22. C2×#2413C2semidirect
23. C2×#2406C2semidirect
24. #34264C2semidirect
25. #34256C2semidirect
26. #34199C2semidirect
27. #34172C2semidirect
32. C2×#552C22semidirect
33. C2×#552C22semidirect
34. C2×#551C22semidirect
35. C2×#551C22semidirect
40. C2×#543C22semidirect
41. C2×#539C22semidirect
46. C2×#529C22semidirect
54. C22×#123C22semidirect
57. C2×#518C22semidirect
58. C2×#518C22semidirect
60. C22×#117C22semidirect
61. C23×C4⋊C4C22semidirect
62. #2715C22semidirect
63. #2713C22semidirect
64. #2713C22semidirect
65. #2708C22semidirect
66. #2708C22semidirect
67. #2707C22semidirect
68. #2704C22semidirect
69. #2701C22semidirect
70. #2700C22semidirect
71. #2698C22semidirect
72. #2698C22semidirect
73. #2697C22semidirect
74. #2695C22semidirect
75. #2695C22semidirect
76. #2694C22semidirect
77. #2691C22semidirect
78. #2690C22semidirect
79. #2689C22semidirect
80. #2689C22semidirect
81. #2687C22semidirect
82. #2687C22semidirect
83. #2686C22semidirect
84. #2684C22semidirect
85. #2681C22semidirect
86. #2564C22semidirect
87. #2561C22semidirect
88. #2559C22semidirect
89. #2558C22semidirect
90. #2556C22semidirect
91. #2553C22semidirect
92. #2553C22semidirect
93. #2550C22semidirect
94. #2549C22semidirect
95. #2549C22semidirect
96. #2534C22semidirect
97. #2534C22semidirect
98. #2534C22semidirect
99. #2521C22semidirect
100. #2503C22semidirect
101. #2498C22semidirect
102. #2488C22semidirect
103. #2488C22semidirect
104. #2488C22semidirect
105. #2488C22semidirect
106. #2486C22semidirect
107. #2486C22semidirect
108. #2486C22semidirect
109. #2486C22semidirect
110. #2486C22semidirect
111. #2486C22semidirect
112. #2484C22semidirect
113. #2483C22semidirect
114. #2480C22semidirect
115. #2480C22semidirect
116. #2476C22semidirect
117. #2474C22semidirect
118. #2473C22semidirect
119. #2473C22semidirect
120. #2470C22semidirect
121. #2470C22semidirect
122. #2468C22semidirect
123. #2466C22semidirect
124. #2465C22semidirect
125. #2458C22semidirect
126. #2451C22semidirect
127. #2450C22semidirect
128. #2450C22semidirect
129. #2449C22semidirect
130. #2447C22semidirect
131. #2444C22semidirect
132. #2444C22semidirect
133. #2443C22semidirect
134. #2442C22semidirect
135. #2438C22semidirect
136. #2438C22semidirect
137. #2438C22semidirect
138. #2437C22semidirect
139. #2437C22semidirect
140. #2427C22semidirect
141. #2425C22semidirect
142. #2425C22semidirect
143. #2425C22semidirect
144. #2420C22semidirect
145. #2419C22semidirect
146. #2419C22semidirect
147. #2419C22semidirect
148. #2419C22semidirect
149. #2419C22semidirect
150. #2419C22semidirect
151. #2419C22semidirect
152. #2418C22semidirect
153. #2418C22semidirect
154. #2417C22semidirect
155. #2413C22semidirect
156. #2413C22semidirect
157. #2413C22semidirect
158. #2413C22semidirect
159. #2413C22semidirect
160. #2412C22semidirect
161. #2412C22semidirect
163. #2406C22semidirect
164. #2406C22semidirect
165. #2406C22semidirect
166. #2406C22semidirect
167. #2406C22semidirect
168. #2406C22semidirect
169. #2406C22semidirect
171. #2405C22semidirect
172. #2405C22semidirect
173. #2405C22semidirect
174. C2×#398C22semidirect
175. C2×#398C22semidirect
176. C2×#397C22semidirect
177. C2×#396C22semidirect
178. C2×#395C22semidirect
179. C2×#394C22semidirect
180. #2364C22semidirect
181. #2361C22semidirect
182. #2360C22semidirect
183. #2359C22semidirect
184. #2359C22semidirect
185. #2359C22semidirect
186. #2359C22semidirect
187. #2358C22semidirect
188. #2349C22semidirect
189. #2344C22semidirect
190. #2342C22semidirect
191. #2342C22semidirect
193. #2339C22semidirect
194. #2339C22semidirect
195. #2339C22semidirect
196. #2339C22semidirect
197. #2339C22semidirect
199. D4×C22⋊C4C22semidirect
200. #2322C22semidirect
201. #2322C22semidirect
202. #2321C22semidirect
203. #2315C22semidirect
204. #2315C22semidirect
205. #2311C22semidirect
206. #2310C22semidirect
212. #2308C22semidirect
213. #2308C22semidirect
214. C4×#123C22semidirect
215. C4×#123C22semidirect
216. C4×#120C22semidirect
217. #2297C22semidirect
218. C2×#389C22semidirect
219. C2×#389C22semidirect
220. C2×#388C22semidirect
223. C2×#386C22semidirect
224. C2×#386C22semidirect
225. C2×#385C22semidirect
226. C2×#385C22semidirect
227. C2×#385C22semidirect
228. #2280C22semidirect
229. C2×#381C22semidirect
230. C2×#381C22semidirect
231. C2×#381C22semidirect
232. C2×#381C22semidirect
233. C2×#381C22semidirect
234. C2×#380C22semidirect
235. C2×#380C22semidirect
236. #2273C22semidirect

Maximal subgroups

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

subgroupindex
C2×#34912
C2×#34852
#598012
#593112
#590322
#590312
#590122
#590102
#447612
#444942
#435252
#434962
#430262
#430162
#354552
#354482
#354472
#354462
#353602
#353592
C2×#24862
C2×#24132
C2×#24062
#342642
#342562
#341992
#341722