Finite Group Databasebeta

← #7699861

Subgroups — #7699861

Order 512.

5104 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60000C214yesmaximal, complemented
2#59561C214yesmaximal, complemented
3#59550C212yesmaximal, complemented
4#59510C212yesmaximal, complemented
5#59443C211yesmaximal, characteristic, complemented
6#59374C212yesmaximal, complemented
7#59359C214yesmaximal, complemented
8#59306C212yesmaximal, complemented
9#59280C212yesmaximal, complemented
10#59278C212yesmaximal, complemented
11#59258C211yesmaximal, characteristic, complemented
12#59235C211yesmaximal, characteristic, complemented
13#36552C211yesmaximal, characteristic, complemented
14#36506C212yesmaximal, complemented
15#36477C211yesmaximal, characteristic, complemented
16#36451C212yesmaximal, complemented
17#36450C211yesmaximal, characteristic, complemented
18#36436C212yesmaximal, complemented
19#36417C212yesmaximal, complemented
20#36408C212yesmaximal, complemented
21#36404C211yesmaximal, characteristic, complemented
22#36404C211yesmaximal, characteristic, complemented
23#36392C212yesmaximal, complemented
24#36388C214yesmaximal, complemented
25#36209C211yesmaximal, characteristic, complemented
26#36199C212yesmaximal, complemented
27#36192C211yesmaximal, characteristic, complemented
28#36178C212yesmaximal, complemented
29C4×#553C211yesmaximal, characteristic, complemented
30C4×#552C212yesmaximal, complemented
31C4×#547C211yesmaximal, characteristic, complemented
32C4×#547C211yesmaximal, characteristic, complemented
33#34129C211yesmaximal, characteristic, complemented
34#34121C211yesmaximal, characteristic, complemented
35#34121C212yesmaximal, complemented
36C2×#553C2211yescharacteristic
37C2×#552C2212yes—
38C2×#547C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C2×C4×#41C2212yes—
43#2865C2214yes—
44#2864C2214yes—
45#2863C2212yes—
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2855C2212yes—
51#2855C2212yes—
52#2853C2214yes—
53#2851C2212yes—
54#2851C2212yes—
55#2776C2214yes—
56#2749C2214yes—
57#2747C2214yes—
58#2746C2214yes—
59#2744C2214yes—
60#2743C2214yes—
61#2695C2214yes—
62#2693C2214yes—
63#2691C2214yes—
64#2609C2214yes—
65#2609C2214yes—
66#2608C2214yes—
67#2602C2214yes—
68#2600C2214yes—
69#2598C2214yes—
70#2597C2214yes—
71#2590C2214yes—
72#2587C2214yes—
73#2585C2214yes—
74#2578C2214yes—
75#2577C2214yes—
76#2576C2214yes—
77#2576C2214yes—
78#2576C2214yes—
79#2575C2214yes—
80#2575C2214yes—
81#2573C2214yes—
82#2573C2214yes—
83#2570C2212yes—
84#2570C2212yes—
85#2568C2211yescharacteristic
86#2568C2211yescharacteristic
87#2566C2212yes—
88#2565C2212yes—
89#2562C2212yes—
90#2558C2214yes—
91#2553C2214yes—
92#2552C2211yescharacteristic
93#2552C2211yescharacteristic
94#2538C2211yescharacteristic
95#2538C2211yescharacteristic
96#2536C2212yes—
97#2533C2214yes—
98#2533C2214yes—
99#2531C2214yes—
100#2530C2214yes—
101#2529C2214yes—
102#2528C2214yes—
103#2528C2214yes—
104#2528C2214yes—
105#2526C2214yes—
106#2525C2214yes—
107#2524C2214yes—
108#2524C2214yes—
109#2522C2214yes—
110#2522C2214yes—
111#2516C2214yes—
112#2515C2214yes—
113#2515C2214yes—
114#2514C2212yes—
115#2514C2212yes—
116#2514C2212yes—
117#2511C2212yes—
118#2511C2212yes—
119#2510C2214yes—
120#2508C2212yes—
121#2508C2212yes—
122#2508C2212yes—
123#2508C2212yes—
124#2506C2212yes—
125#2505C2214yes—
126#2505C2214yes—
127#2502C2212yes—
128#2499C2212yes—
129#2497C2212yes—
130#2497C2212yes—
131#2496C2212yes—
132#2495C2212yes—
133#2495C2212yes—
134#2494C2212yes—
135#2493C2214yes—
136#2489C2212yes—
137#2489C2212yes—
138#2489C2212yes—
139#2489C2212yes—
140#2485C2212yes—
141#2485C2212yes—
142#2485C2212yes—
143#2484C2214yes—
144#2478C2214yes—
145#2476C2214yes—
146#2475C2214yes—
147#2473C2214yes—
148#2471C2214yes—
149#2470C2214yes—
150#2470C2214yes—
151#2468C2214yes—
152#2464C2214yes—
153#2457C2214yes—
154#2457C2214yes—
155#2454C2212yes—
156#2454C2212yes—
157#2453C2212yes—
158#2446C2212yes—
159#2442C2212yes—
160#2441C2212yes—
161#2441C2212yes—
162#2429C2212yes—
163#2422C2212yes—
164#2421C2212yes—
165#2420C2212yes—
166#2420C2212yes—
167#2420C2212yes—
168#2417C2212yes—
169#2415C2212yes—
170#2415C2212yes—
171#2407C2212yes—
172#2407C2212yes—
173#2407C2212yes—
174#2407C2212yes—
175#2374C2212yes—
176#2373C2214yes—
177#2373C2212yes—
178#2371C2214yes—
179#2370C2212yes—
180#2370C2212yes—
181#2370C2212yes—
182#2370C2211yescharacteristic
183#2365C2211yescharacteristic
184#2365C2211yescharacteristic
185#2364C2212yes—
186#2363C2211yescharacteristic
187#2362C2211yescharacteristic
188#2362C2212yes—
189#2362C2212yes—
190#2362C2211yescharacteristic
191#2361C2212yes—
192#2361C2212yes—
193#2361C2211yescharacteristic
194#2360C2212yes—
195#2360C2212yes—
196#2360C2212yes—
197#2359C2212yes—
198#2359C2214yes—
199#2359C2214yes—
200#2359C2212yes—
201#2357C2211yescharacteristic
202#2357C2212yes—
203#2357C2212yes—
204#2356C2212yes—
205#2356C2212yes—
206#2356C2212yes—
207#2356C2212yes—
208#2355C2211yescharacteristic
209#2355C2212yes—
210#2355C2211yescharacteristic
211#2355C2212yes—
212#2354C2211yescharacteristic
213#2354C2211yescharacteristic
214#2354C2211yescharacteristic
215#2354C2211yescharacteristic
216#2354C2212yes—
217#2354C2212yes—
218#2354C2212yes—
219#2354C2212yes—
220#2353C2214yes—
221#2353C2214yes—
222#2353C2214yes—
223#2353C2212yes—
224#2352C2212yes—
225#2352C2212yes—
226#2352C2212yes—
227#2352C2214yes—
228#2352C2212yes—
229#2352C2214yes—
230#2352C2211yescharacteristic
231Q8×C4⋊C4C2211yescharacteristic
232Q8×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2211yescharacteristic
235#2347C2211yescharacteristic
236#2346C2212yes—
237#2346C2212yes—
238#2346C2212yes—
239#2346C2214yes—
240#2345C2211yescharacteristic
241#2344C2212yes—
242#2344C2212yes—
243#2344C2212yes—
244#2343C2214yes—
245#2343C2214yes—
246#2341C2212yes—
247#2339C2211yescharacteristic
248#2339C2212yes—
249#2339C2211yescharacteristic
250C4×C4⋊Q8C2211yescharacteristic
251C4×C4⋊Q8C2211yescharacteristic
252C4×#125C2211yescharacteristic
253C4×#125C2212yes—
254C4×#125C2214yes—
255C4×#126C2212yes—
256C4×#126C2214yes—
257C4×C22⋊Q8C2211yescharacteristic
258C4×C22⋊Q8C2212yes—
259C4×C22⋊Q8C2211yescharacteristic
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2212yes—
262C4×#123C2214yes—
263C4×#123C2212yes—
264C4×#123C2214yes—
265C4×#123C2212yes—
266C4×#123C2212yes—
267C4×#121C2212yes—
268C4×#121C2211yescharacteristic
269C4×#121C2211yescharacteristic
270C4×#121C2212yes—
271C4×#121C2212yes—
272#2298C2214yes—
273#2298C2214yes—
274#2298C2214yes—
275#2297C2212yes—
276#2297C2212yes—
277#2297C2212yes—
278#2293C2214yes—
279#2293C2212yes—
280#2285C2212yes—
281#2285C2211yescharacteristic
282#2285C2211yescharacteristic
283#2285C2212yes—
284#2283C2214yes—
285#2283C2212yes—
286C42×Q8C2212yes—
287C42×D4C2212yes—
288C42×D4C2211yescharacteristic
289C42×D4C2211yescharacteristic
290C42×D4C2211yescharacteristic
291C4×#117C2214yes—
292C4×#117C2212yes—
293C4×#117C2212yes—
294C4×#117C2212yes—
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302#553—28no—
303#552—216no—
304#547—28no—
305#547—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#126C2314yes—
309C2×#126C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×#121C2312yes—
332C4×#41—28no—
333C4×#41—28no—
334C4×#41—216no—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×#117C2314yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2314yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2314yes—
388C22×C42C2312yes—
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2312yes—
394#401C2314yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#392C2314yes—
447#392C2314yes—
448#391C2311yescharacteristic
449#391C2311yescharacteristic
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#390C2312yes—
465#390C2312yes—
466#390C2314yes—
467#390C2312yes—
468#390C2312yes—
469#390C2314yes—
470#390C2312yes—
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2312yes—
474#390C2312yes—
475#389C2311yescharacteristic
476#389C2314yes—
477#389C2311yescharacteristic
478#389C2312yes—
479#389C2311yescharacteristic
480#389C2314yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2314yes—
489#389C2314yes—
490#389C2312yes—
491#389C2314yes—
492#389C2312yes—
493#389C2314yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2312yes—
513#388C2312yes—
514#388C2312yes—
515#388C2314yes—
516#388C2314yes—
517#388C2312yes—
518#388C2312yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2312yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2312yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2314yes—
547#388C2312yes—
548#388C2314yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#387C2312yes—
555#387C2314yes—
556#387C2312yes—
557#387C2314yes—
558#387C2314yes—
559#387C2312yes—
560#387C2312yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2312yes—
566#387C2314yes—
567#387C2312yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#386C2312yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2312yes—
617#386C2314yes—
618#386C2312yes—
619#386C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2312yes—
649#384C2311yescharacteristic
650#384C2311yescharacteristic
651#384C2312yes—
652#384C2312yes—
653#384C2311yescharacteristic
654#384C2311yescharacteristic
655#384C2312yes—
656#384C2312yes—
657#383C2314yes—
658#383C2312yes—
659#383C2314yes—
660#383C2314yes—
661#383C2314yes—
662#383C2314yes—
663#382C2312yes—
664#382C2314yes—
665#382C2311yescharacteristic
666#382C2312yes—
667#382C2312yes—
668#382C2312yes—
669#382C2312yes—
670#382C2314yes—
671#382C2314yes—
672#382C2314yes—
673#382C2312yes—
674#382C2314yes—
675#382C2314yes—
676#382C2312yes—
677#381C2312yes—
678#381C2314yes—
679#381C2312yes—
680#381C2314yes—
681#381C2314yes—
682#381C2314yes—
683#381C2314yes—
684#381C2312yes—
685#381C2314yes—
686#380C2311yescharacteristic
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2314yes—
692#380C2311yescharacteristic
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2312yes—
699#380C2312yes—
700#380C2311yescharacteristic
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2312yes—
710#380C2312yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2314yes—
815C43C2311yescharacteristic
816C43C2314yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—28no—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—24no—
823C2×#41—42no—
824C2×#41—44no—
825C2×#41—42no—
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859#126—216no—
860#126—28no—
861#125—216no—
862#125—28no—
863#125—24no—
864#125—44no—
865#125—44no—
866#123—28no—
867#123—28no—
868#123—28no—
869#123—216no—
870#123—216no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—24no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8#4118yescomplemented
878#121—28no—
879#121—24no—
880#121—24no—
881#121—28no—
882#121—28no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—28no—
890C4×Q8—44no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—216no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—216no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—42no—
909C4×D4—44no—
910C4×D4—42no—
911C4×D4#4118yes—
912C4×D4#4118yescomplemented
913#117—28no—
914#117—24no—
915#117—24no—
916#117—28no—
917#117—216no—
918#117—24no—
919#117—28no—
920#117—28no—
921#117—216no—
922#117—44no—
923#117—48no—
924#117—48no—
925#117—44no—
926#117—42no—
927#117—44no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—28no—
930C2×C4⋊C4—28no—
931C2×C4⋊C4—24no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—42no—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C42—28no—
1047C2×C42—216no—
1048C2×C42—28no—
1049C2×C42—24no—
1050C2×C42—24no—
1051C2×C42—28no—
1052C2×C42—44no—
1053C2×C42—44no—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24C2511yescharacteristic
1175C24C2512yes—
1176C24C2511yescharacteristic
1177C24C2512yes—
1178#41—432no—
1179#41—416no—
1180#41—416no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8C2×#4114yes—
1190C2×D4—24no—
1191C2×D4—28no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—41no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4C2×#4114yes—
1213C2×D4C2×#4114yes—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4C2×#4118yes—
1272C22×C4C2×#4114yes—
1273C22×C4C2×#4118yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—28no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—28no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4C2×#4114yes—
1368C4⋊C4C2×#4114yes—
1369C4⋊C4C2×#4114yes—
1370C4⋊C4C2×#4118yes—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—22no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—24no—
1389C22⋊C4—22no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—22no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—41no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4C2×#4118yes—
1415C22⋊C4C2×#4118yes—
1416C22⋊C4C2×#4118yes—
1417C42—24no—
1418C42—22no—
1419C42—22no—
1420C42—28no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—24no—
1427C42—22no—
1428C42—24no—
1429C42—28no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—28no—
1434C42—24no—
1435C42—28no—
1436C42—24no—
1437C42—28no—
1438C42—22no—
1439C42—24no—
1440C42—22no—
1441C42—24no—
1442C42—24no—
1443C42—28no—
1444C42—24no—
1445C42—22no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42—41no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—42no—
1457C42—41no—
1458C42—44no—
1459C42C2×#4114yes—
1460C42C2×#4114yes—
1461C23—22no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—22no—
1470C23—21no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23C22×#4112yes—
1487C23C22×#4114yes—
1488C23C22×#4114yes—
1489C23C2611yescharacteristic
1490Q8—28no—
1491Q8—48no—
1492Q8—44no—
1493D4—28no—
1494D4—28no—
1495D4—44no—
1496D4—48no—
1497D4—48no—
1498D4—48no—
1499D4—416no—
1500D4—84no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—216no—
1520C2×C4—28no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—48no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—416no—
1586C2×C4—48no—
1587C2×C4—416no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—44no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—82no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4114yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4114yes—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4#58512yes—
1612C2×C4#58512yes—
1613C2×C4#58512yes—
1614C22—24no—
1615C22—24no—
1616C22—22no—
1617C22—22no—
1618C22—24no—
1619C22—24no—
1620C22—24no—
1621C22—24no—
1622C22—22no—
1623C22—41no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—41no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22C23×#4111yescharacteristic
1643C22C23×#4111yescharacteristic
1644C22C23×#4111yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22C2×#58511yescharacteristic
1648C222−1+611yescharacteristic
1649C4—22no—
1650C4—24no—
1651C4—22no—
1652C4—22no—
1653C4—22no—
1654C4—24no—
1655C4—24no—
1656C4—24no—
1657C4—22no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—41no—
1665C4—44no—
1666C4—44no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—42no—
1675C4—44no—
1676C4—44no—
1677C4—42no—
1678C4#347514yes—
1679C4#347514yes—
1680C2—44no—
1681C2—44no—
1682C2—42no—
1683C2—81no—
1684C2C2×#347511yescharacteristic
1685C2C2×#347511yescharacteristic
1686C2#41211yescharacteristic
1687C2#6299111yescharacteristic
1688C2#6299311yescharacteristic
1689C2#6300711yescharacteristic
1690C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60000C2semidirect
2. #59561C2semidirect
3. #59550C2semidirect
4. #59510C2semidirect
5. #59443C2semidirect
6. #59374C2semidirect
7. #59359C2semidirect
8. #59306C2semidirect
9. #59280C2semidirect
10. #59278C2semidirect
11. #59258C2semidirect
12. #59235C2semidirect
13. #36552C2semidirect
14. #36506C2semidirect
15. #36477C2semidirect
16. #36451C2semidirect
17. #36450C2semidirect
18. #36436C2semidirect
19. #36417C2semidirect
20. #36408C2semidirect
21. #36404C2semidirect
22. #36404C2semidirect
23. #36392C2semidirect
24. #36388C2semidirect
25. #36209C2semidirect
26. #36199C2semidirect
27. #36192C2semidirect
28. #36178C2semidirect
29. C4×#553C2semidirect
30. C4×#552C2semidirect
31. C4×#547C2semidirect
32. C4×#547C2semidirect
33. #34129C2semidirect
34. #34121C2semidirect
35. #34121C2semidirect
877. C22⋊Q8#41semidirect
912. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#600002
#595612
#595502
#595102
#594432
#593742
#593592
#593062
#592802
#592782
#592582
#592352
#365522
#365062
#364772
#364512
#364502
#364362
#364172
#364082
#364042
#363922
#363882
#362092
#361992
#361922
#361782
C4×#5532
C4×#5522
C4×#5472
#341292
#341212