Finite Group Databasebeta

← #7682780

Subgroups — #7682780

Order 512.

5176 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59960C212yesmaximal, complemented
2#59842C212yesmaximal, complemented
3#59764C212yesmaximal, complemented
4#59565C212yesmaximal, complemented
5#59503C212yesmaximal, complemented
6#59500C212yesmaximal, complemented
7#59498C212yesmaximal, complemented
8#59497C212yesmaximal, complemented
9#59328C214yesmaximal, complemented
10#59014C214yesmaximal, complemented
11#45383C212yesmaximal, complemented
12#45379C212yesmaximal, complemented
13#45172C212yesmaximal, complemented
14#45054C212yesmaximal, complemented
15#45027C212yesmaximal, complemented
16#45008C212yesmaximal, complemented
17#44999C212yesmaximal, complemented
18#44991C212yesmaximal, complemented
19#43078C214yesmaximal, complemented
20#43052C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35585C211yesmaximal, characteristic, complemented
23#35574C211yesmaximal, characteristic, complemented
24#35545C211yesmaximal, characteristic, complemented
25#35541C211yesmaximal, characteristic
26#35541C211yesmaximal, characteristic
27#34948C211yesmaximal, characteristic, complemented
28#34816C211yesmaximal, characteristic, complemented
29C2×#2452C211yesmaximal, characteristic, complemented
30#34265C211yesmaximal, characteristic
31#34255C211yesmaximal, characteristic, complemented
32#34255C211yesmaximal, characteristic, complemented
33#34253C211yesmaximal, characteristic, complemented
34#34216C211yesmaximal, characteristic, complemented
35#34181C211yesmaximal, characteristic, complemented
36C2×#552C2214yescomplemented
37C2×#535C2211yescharacteristic
38C22×C4⋊Q8C2211yescharacteristic
39C22×C22⋊Q8C2212yes—
40C2×#520C2211yescharacteristic
41C2×#518C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2787C2214yescomplemented
45#2781C2214yescomplemented
46#2779C2214yescomplemented
47#2770C2214yescomplemented
48#2765C2214yescomplemented
49#2765C2214yescomplemented
50#2764C2214yescomplemented
51#2764C2214yescomplemented
52#2761C2214yescomplemented
53#2751C2214yescomplemented
54#2751C2214yescomplemented
55#2750C2214yescomplemented
56#2745C2214yescomplemented
57#2745C2214yescomplemented
58#2744C2214yescomplemented
59#2739C2214yescomplemented
60#2707C2214yescomplemented
61#2702C2214yescomplemented
62#2702C2214yescomplemented
63#2695C2214yescomplemented
64#2690C2214yescomplemented
65#2690C2214yescomplemented
66#2687C2214yescomplemented
67#2687C2214yescomplemented
68#2609C2214yescomplemented
69#2601C2214yescomplemented
70#2599C2214yescomplemented
71#2599C2214yescomplemented
72#2579C2214yes—
73#2577C2214yescomplemented
74#2573C2214yescomplemented
75#2571C2211yescharacteristic, complemented
76#2571C2211yescharacteristic, complemented
77#2570C2211yescharacteristic, complemented
78#2570C2211yescharacteristic, complemented
79#2570C2211yescharacteristic, complemented
80#2570C2211yescharacteristic, complemented
81#2569C2214yes—
82#2569C2214yes—
83#2569C2212yes—
84#2569C2212yes—
85#2558C2214yescomplemented
86#2552C2211yescharacteristic, complemented
87#2552C2211yescharacteristic, complemented
88#2536C2214yescomplemented
89#2530C2214yescomplemented
90#2527C2214yescomplemented
91#2527C2214yescomplemented
92#2515C2214yescomplemented
93#2514C2211yescharacteristic, complemented
94#2514C2211yescharacteristic, complemented
95#2514C2212yescomplemented
96#2513C2211yescharacteristic, complemented
97#2513C2211yescharacteristic, complemented
98#2513C2212yescomplemented
99#2512C2211yescharacteristic, complemented
100#2512C2211yescharacteristic, complemented
101#2512C2212yescomplemented
102#2511C2211yescharacteristic, complemented
103#2511C2211yescharacteristic, complemented
104#2511C2212yescomplemented
105#2510C2212yes—
106#2510C2212yes—
107#2510C2214yes—
108#2509C2212yescomplemented
109#2509C2212yescomplemented
110#2509C2212yescomplemented
111#2509C2212yescomplemented
112#2508C2212yescomplemented
113#2508C2212yescomplemented
114#2508C2212yescomplemented
115#2508C2212yescomplemented
116#2507C2212yescomplemented
117#2507C2212yescomplemented
118#2507C2212yescomplemented
119#2507C2212yescomplemented
120#2506C2212yescomplemented
121#2506C2212yescomplemented
122#2506C2212yescomplemented
123#2506C2212yescomplemented
124#2503C2214yescomplemented
125#2497C2212yescomplemented
126#2496C2212yescomplemented
127#2495C2212yescomplemented
128#2494C2212yescomplemented
129#2493C2214yescomplemented
130#2489C2214yescomplemented
131#2488C2214yescomplemented
132#2488C2214yescomplemented
133#2484C2214yescomplemented
134#2481C2212yes—
135#2481C2212yes—
136#2481C2214yes—
137#2481C2214yescomplemented
138#2477C2214yescomplemented
139#2477C2214yescomplemented
140#2475C2214yescomplemented
141#2475C2214yescomplemented
142#2473C2214yescomplemented
143#2470C2214yescomplemented
144#2468C2214yescomplemented
145#2460C2214yescomplemented
146#2458C2214yescomplemented
147#2458C2214yescomplemented
148#2452C2212yes—
149#2452C2212yes—
150#2452C2212yes—
151#2452C2212yes—
152#2452C2212yes—
153#2452C2212yes—
154#2452C2212yes—
155#2452C2212yes—
156#2452C2212yescomplemented
157#2452C2212yescomplemented
158#2451C2212yescomplemented
159#2451C2212yescomplemented
160#2447C2212yes—
161#2447C2212yes—
162#2447C2212yes—
163#2447C2212yes—
164#2445C2212yes—
165#2445C2212yes—
166#2445C2212yes—
167#2445C2212yes—
168#2442C2214yes—
169#2442C2214yes—
170#2442C2212yes—
171#2442C2212yes—
172#2440C2212yescomplemented
173#2440C2212yescomplemented
174#2439C2212yescomplemented
175#2439C2212yescomplemented
176#2438C2214yescomplemented
177#2438C2214yescomplemented
178#2422C2212yes—
179#2422C2212yes—
180#2422C2212yes—
181#2422C2212yes—
182#2421C2214yescomplemented
183#2420C2212yes—
184#2420C2212yes—
185#2420C2212yes—
186#2420C2212yes—
187#2419C2214yescomplemented
188#2417C2214yescomplemented
189#2415C2214yescomplemented
190#2413C2214yescomplemented
191#2412C2214yes—
192#2412C2214yes—
193#2412C2214yes—
194#2412C2214yes—
195#2409C2214yes—
196#2402C2212yescomplemented
197#2402C2212yescomplemented
198#2401C2212yescomplemented
199#2401C2212yescomplemented
200C2×#396C2212yes—
201C2×#393C2212yes—
202#2369C2212yescomplemented
203#2369C2212yescomplemented
204#2367C2212yes—
205#2367C2212yes—
206#2366C2212yes—
207#2366C2212yes—
208#2365C2212yescomplemented
209#2365C2212yescomplemented
210#2363C2212yes—
211#2363C2212yes—
212#2361C2212yes—
213#2361C2212yes—
214#2360C2214yescomplemented
215#2359C2214yescomplemented
216#2357C2212yes—
217#2357C2212yes—
218#2357C2212yes—
219#2357C2212yes—
220#2354C2212yes—
221#2354C2212yes—
222#2354C2212yes—
223#2354C2212yes—
224#2353C2214yes—
225#2352C2214yes—
226#2349C2212yes—
227#2349C2212yes—
228#2349C2212yes—
229#2349C2212yes—
230D4×C4⋊C4C2212yes—
231D4×C4⋊C4C2212yes—
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yes—
234#2347C2212yescomplemented
235#2346C2212yescomplemented
236#2345C2214yes—
237#2345C2212yescomplemented
238#2344C2212yescomplemented
239#2343C2214yescomplemented
240#2342C2214yes—
241#2342C2214yes—
242#2342C2214yes—
243#2342C2214yes—
244Q8×C22⋊C4C2214yes—
245#2331C2212yescomplemented
246#2331C2212yescomplemented
247#2321C2214yes—
248#2320C2212yescomplemented
249#2319C2212yes—
250#2319C2212yes—
251#2319C2212yes—
252#2319C2212yes—
253#2319C2212yescomplemented
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2316C2211yescharacteristic
257#2316C2211yescharacteristic
258#2316C2211yescharacteristic
259#2316C2211yescharacteristic
260#2315C2214yes—
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2309C2211yescharacteristic
264C4×C4⋊Q8C2212yescomplemented
265C4×C4⋊Q8C2212yescomplemented
266C4×#125C2212yescomplemented
267C4×#125C2212yescomplemented
268C4×#126C2212yescomplemented
269C4×#126C2212yescomplemented
270C4×#120C2214yes—
271#2297C2211yescharacteristic
272#2297C2211yescharacteristic
273#2297C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2295C2212yescomplemented
278#2293C2212yes—
279#2293C2212yes—
280#2293C2212yes—
281#2293C2212yes—
282#2293C2212yescomplemented
283C2×#390C2211yescharacteristic
284C2×#390C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#385C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292C2×#380C2214yes—
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#552—416no—
304#535—28no—
305C2×C4⋊Q8—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#124C2312yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8—48no—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#120C2314yes—
333#520—28no—
334#518—28no—
335#518—28no—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2314yes—
339C2×C4×D4—28no—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2314yes—
365C2×#117C2314yes—
366C2×#117C2314yes—
367C2×#117C2314yes—
368C2×#117C2314yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390#401C2312yes—
391#401C2312yes—
392#401C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#395C2314yes—
463#395C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2314yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2311yescharacteristic
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2312yes—
642#386C2312yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#383C2312yes—
689#383C2312yes—
690#383C2314yes—
691#383C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#379C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2314yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2312yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C22×Q8—28no—
823C22×Q8—44no—
824C22×Q8—82no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×Q8C2414yes—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4#4118yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4—28no—
838C23×C4—44no—
839C23×C4—82no—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8—28no—
859C4⋊Q8—28no—
860C4⋊Q8—28no—
861C4⋊Q8—28no—
862#127—28no—
863#126—28no—
864#126—44no—
865#126—48no—
866#125—28no—
867#125—44no—
868#125—48no—
869#125—48no—
870#124—28no—
871#123—48no—
872#123—48no—
873#123—48no—
874#123—84no—
875C22⋊Q8—216no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—84no—
881#121—28no—
882#121—28no—
883#120—216no—
884C4×Q8—28no—
885C4×Q8—48no—
886C4×Q8—84no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—216no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—48no—
902C4×D4—84no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—28no—
911#117—48no—
912#117—48no—
913#117—48no—
914#117—48no—
915#117—84no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—42no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—48no—
925C2×C4⋊C4—84no—
926C2×C4⋊C4#4118yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C22⋊C4—216no—
1003C2×C22⋊C4—216no—
1004C2×C22⋊C4—28no—
1005C2×C22⋊C4—44no—
1006C2×C22⋊C4—44no—
1007C2×C22⋊C4—44no—
1008C2×C22⋊C4—82no—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C42—24no—
1054C2×C42—24no—
1055C2×C42—24no—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24—24no—
1173C24—24no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24C2×#4118yes—
1179C24C2512yes—
1180C24C2514yes—
1181C24C2511yescharacteristic
1182#41—416no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—28no—
1186C2×Q8—28no—
1187C2×Q8—28no—
1188C2×Q8—22no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—816no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—28no—
1197C2×D4—28no—
1198C2×D4—232no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4C2×#4118yes—
1211C2×D4C2×#4118yes—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—28no—
1218C22×C4—28no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—28no—
1234C22×C4—28no—
1235C22×C4—42no—
1236C22×C4—41no—
1237C22×C4—44no—
1238C22×C4—41no—
1239C22×C4—42no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—41no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—41no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—41no—
1262C22×C4—816no—
1263C22×C4C2×#4118yes—
1264C22×C4C2×#4114yes—
1265C22×C4C2×#4114yes—
1266C22×C42−1+414yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4C2×#4118yes—
1372C4⋊C4C2×#4118yes—
1373C4⋊C4H(5,𝔽2)14yes—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—28no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—42no—
1442C42—42no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—42no—
1451C42—42no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—24no—
1457C23—24no—
1458C23—24no—
1459C23—24no—
1460C23—24no—
1461C23—24no—
1462C23—216no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—48no—
1471C23—48no—
1472C23—84no—
1473C23—84no—
1474C23—84no—
1475C23—84no—
1476C23C22×#4118yes—
1477C23C22×#4112yes—
1478C23C22×#4112yes—
1479C23C2×2−1+412yes—
1480C23C2611yescharacteristic
1481Q8—416no—
1482Q8—44no—
1483Q8—88no—
1484D4—216no—
1485D4—216no—
1486D4—48no—
1487D4—44no—
1488D4—88no—
1489D4—88no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—48no—
1576C2×C4—416no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—48no—
1582C2×C4—88no—
1583C2×C4—88no—
1584C2×C4—88no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—82no—
1589C2×C4—84no—
1590C2×C4—82no—
1591C2×C4—84no—
1592C2×C4#552116yescomplemented
1593C2×C4C22×#4118yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C2×H(5,𝔽2)12yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4C2×2−1+412yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4#58512yes—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—28no—
1611C22—28no—
1612C22—28no—
1613C22—44no—
1614C22—44no—
1615C22—44no—
1616C22—44no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—816no—
1625C22C2×#55214yes—
1626C22C23×#4111yescharacteristic
1627C22C23×#4111yescharacteristic
1628C22C22×H(5,𝔽2)11yescharacteristic
1629C22C22×2−1+411yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22H(7,𝔽2)11yescharacteristic
1632C222−1+611yescharacteristic
1633C4—22no—
1634C4—28no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4—44no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—42no—
1657C4—41no—
1658C4—44no—
1659C4—42no—
1660C4—41no—
1661C4—41no—
1662C4—42no—
1663C4C2×#55214yes—
1664C4C2×#55214yes—
1665C2—24no—
1666C2—48no—
1667C2—82no—
1668C2C22×#55211yescharacteristic
1669C2#6283511yescharacteristic
1670C2#6287911yescharacteristic
1671C2#6298311yescharacteristic
1672C2#6298411yescharacteristic
1673C2#6299211yescharacteristic
1674C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59960C2semidirect
2. #59842C2semidirect
3. #59764C2semidirect
4. #59565C2semidirect
5. #59503C2semidirect
6. #59500C2semidirect
7. #59498C2semidirect
8. #59497C2semidirect
9. #59328C2semidirect
10. #59014C2semidirect
11. #45383C2semidirect
12. #45379C2semidirect
13. #45172C2semidirect
14. #45054C2semidirect
15. #45027C2semidirect
16. #45008C2semidirect
17. #44999C2semidirect
18. #44991C2semidirect
19. #43078C2semidirect
20. #43052C2semidirect
21. #35585C2semidirect
22. #35585C2semidirect
23. #35574C2semidirect
24. #35545C2semidirect
27. #34948C2semidirect
28. #34816C2semidirect
29. C2×#2452C2semidirect
31. #34255C2semidirect
32. #34255C2semidirect
33. #34253C2semidirect
34. #34216C2semidirect
35. #34181C2semidirect
36. C2×#552C22semidirect
44. #2787C22semidirect
45. #2781C22semidirect
46. #2779C22semidirect
47. #2770C22semidirect
48. #2765C22semidirect
49. #2765C22semidirect
50. #2764C22semidirect
51. #2764C22semidirect
52. #2761C22semidirect
53. #2751C22semidirect
54. #2751C22semidirect
55. #2750C22semidirect
56. #2745C22semidirect
57. #2745C22semidirect
58. #2744C22semidirect
59. #2739C22semidirect
60. #2707C22semidirect
61. #2702C22semidirect
62. #2702C22semidirect
63. #2695C22semidirect
64. #2690C22semidirect
65. #2690C22semidirect
66. #2687C22semidirect
67. #2687C22semidirect
68. #2609C22semidirect
69. #2601C22semidirect
70. #2599C22semidirect
71. #2599C22semidirect
73. #2577C22semidirect
74. #2573C22semidirect
75. #2571C22semidirect
76. #2571C22semidirect
77. #2570C22semidirect
78. #2570C22semidirect
79. #2570C22semidirect
80. #2570C22semidirect
85. #2558C22semidirect
86. #2552C22semidirect
87. #2552C22semidirect
88. #2536C22semidirect
89. #2530C22semidirect
90. #2527C22semidirect
91. #2527C22semidirect
92. #2515C22semidirect
93. #2514C22semidirect
94. #2514C22semidirect
95. #2514C22semidirect
96. #2513C22semidirect
97. #2513C22semidirect
98. #2513C22semidirect
99. #2512C22semidirect
100. #2512C22semidirect
101. #2512C22semidirect
102. #2511C22semidirect
103. #2511C22semidirect
104. #2511C22semidirect
108. #2509C22semidirect
109. #2509C22semidirect
110. #2509C22semidirect
111. #2509C22semidirect
112. #2508C22semidirect
113. #2508C22semidirect
114. #2508C22semidirect
115. #2508C22semidirect
116. #2507C22semidirect
117. #2507C22semidirect
118. #2507C22semidirect
119. #2507C22semidirect
120. #2506C22semidirect
121. #2506C22semidirect
122. #2506C22semidirect
123. #2506C22semidirect
124. #2503C22semidirect
125. #2497C22semidirect
126. #2496C22semidirect
127. #2495C22semidirect
128. #2494C22semidirect
129. #2493C22semidirect
130. #2489C22semidirect
131. #2488C22semidirect
132. #2488C22semidirect
133. #2484C22semidirect
137. #2481C22semidirect
138. #2477C22semidirect
139. #2477C22semidirect
140. #2475C22semidirect
141. #2475C22semidirect
142. #2473C22semidirect
143. #2470C22semidirect
144. #2468C22semidirect
145. #2460C22semidirect
146. #2458C22semidirect
147. #2458C22semidirect
156. #2452C22semidirect
157. #2452C22semidirect
158. #2451C22semidirect
159. #2451C22semidirect
172. #2440C22semidirect
173. #2440C22semidirect
174. #2439C22semidirect
175. #2439C22semidirect
176. #2438C22semidirect
177. #2438C22semidirect
182. #2421C22semidirect
187. #2419C22semidirect
188. #2417C22semidirect
189. #2415C22semidirect
190. #2413C22semidirect
196. #2402C22semidirect
197. #2402C22semidirect
198. #2401C22semidirect
199. #2401C22semidirect
202. #2369C22semidirect
203. #2369C22semidirect
208. #2365C22semidirect
209. #2365C22semidirect
214. #2360C22semidirect
215. #2359C22semidirect
234. #2347C22semidirect
235. #2346C22semidirect
237. #2345C22semidirect
238. #2344C22semidirect
239. #2343C22semidirect
245. #2331C22semidirect
246. #2331C22semidirect
248. #2320C22semidirect
253. #2319C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×#125C22semidirect
267. C4×#125C22semidirect
268. C4×#126C22semidirect
269. C4×#126C22semidirect
277. #2295C22semidirect
282. #2293C22semidirect
1592. C2×C4#552semidirect

Maximal subgroups

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

subgroupindex
#599602
#598422
#597642
#595652
#595032
#595002
#594982
#594972
#593282
#590142
#453832
#453792
#451722
#450542
#450272
#450082
#449992
#449912
#430782
#430522
#355852
#355742
#355452
#355412
#349482
#348162
C2×#24522
#342652
#342552
#342532
#342162
#341812