Finite Group Databasebeta

← #7979516

Subgroups — #7979516

Order 512.

4837 conjugacy classes of subgroups.

The subgroup lattice has 1747 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59489C212yesmaximal, complemented
3#59201C212yesmaximal, complemented
4#59134C211yesmaximal, characteristic, complemented
5#59079C211yesmaximal, characteristic, complemented
6#50111C214yesmaximal, complemented
7#49250C214yesmaximal, complemented
8#46073C212yesmaximal, complemented
9#46061C212yesmaximal, complemented
10#45133C212yesmaximal, complemented
11#45125C212yesmaximal, complemented
12#44405C214yesmaximal, complemented
13#42993C212yesmaximal, complemented
14#42473C212yesmaximal, complemented
15#41508C214yesmaximal, complemented
16#40104C212yesmaximal, complemented
17#40097C212yesmaximal, complemented
18#39911C212yesmaximal, complemented
19#39515C211yesmaximal, characteristic, complemented
20#39470C211yesmaximal, characteristic, complemented
21#39248C212yesmaximal, complemented
22#37844C212yesmaximal, complemented
23#36602C212yesmaximal, complemented
24#36534C211yesmaximal, characteristic, complemented
25#36459C211yesmaximal, characteristic, complemented
26#36315C211yesmaximal, characteristic, complemented
27#36161C211yesmaximal, characteristic, complemented
28#36129C211yesmaximal, characteristic, complemented
29#35289C211yesmaximal, characteristic, complemented
30#35184C211yesmaximal, characteristic, complemented
31#35117C212yesmaximal, complemented
32#34946C211yesmaximal, characteristic, complemented
33#34681C211yesmaximal, characteristic
34#34361C212yesmaximal, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#554C2211yescharacteristic, complemented
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic, complemented
42C2×#525C2212yes—
43C22×C4×D4C2211yescharacteristic
44#2863C2212yescomplemented
45#2862C2211yescharacteristic, complemented
46#2862C2212yescomplemented
47#2861C2212yes—
48#2861C2212yes—
49#2861C2212yescomplemented
50#2860C2212yes—
51#2858C2212yes—
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic, complemented
54#2848C2212yes—
55#2832C2214yes—
56#2829C2214yes—
57#2808C2214yescomplemented
58#2808C2214yescomplemented
59#2803C2214yes—
60#2798C2214yescomplemented
61#2785C2214yes—
62#2779C2214yescomplemented
63#2778C2214yescomplemented
64#2775C2214yescomplemented
65#2767C2214yescomplemented
66#2765C2214yes—
67#2762C2214yescomplemented
68#2759C2214yescomplemented
69#2756C2214yes—
70#2756C2214yescomplemented
71#2754C2214yescomplemented
72#2753C2214yes—
73#2753C2214yes—
74#2751C2214yes—
75#2751C2214yescomplemented
76#2741C2214yescomplemented
77#2736C2214yes—
78#2736C2214yes—
79#2728C2214yes—
80#2716C2214yescomplemented
81#2705C2214yes—
82#2700C2214yescomplemented
83#2698C2214yes—
84#2697C2214yes—
85#2686C2214yes—
86#2685C2214yes—
87#2685C2214yes—
88#2684C2214yes—
89#2681C2214yescomplemented
90#2666C2214yescomplemented
91#2665C2214yescomplemented
92#2654C2214yescomplemented
93#2653C2214yescomplemented
94#2650C2214yescomplemented
95#2640C2214yescomplemented
96#2637C2214yescomplemented
97#2628C2212yescomplemented
98#2616C2212yescomplemented
99#2597C2214yescomplemented
100#2597C2214yescomplemented
101#2593C2214yescomplemented
102#2593C2214yescomplemented
103#2592C2212yes—
104#2592C2212yes—
105#2592C2212yescomplemented
106#2589C2214yescomplemented
107#2581C2212yescomplemented
108#2578C2214yescomplemented
109#2572C2214yes—
110#2572C2214yescomplemented
111#2568C2211yescharacteristic, complemented
112#2565C2212yescomplemented
113#2563C2211yescharacteristic
114#2563C2211yescharacteristic
115#2563C2212yescomplemented
116#2563C2212yescomplemented
117#2563C2212yescomplemented
118#2562C2212yes—
119#2562C2212yes—
120#2561C2214yes—
121#2560C2214yescomplemented
122#2560C2214yescomplemented
123#2560C2214yescomplemented
124#2559C2214yescomplemented
125#2553C2214yescomplemented
126#2552C2211yescharacteristic, complemented
127#2550C2212yescomplemented
128#2550C2212yescomplemented
129#2548C2212yes—
130#2547C2211yescharacteristic
131#2547C2211yescharacteristic
132#2547C2211yescharacteristic
133#2547C2211yescharacteristic, complemented
134#2547C2211yescharacteristic, complemented
135#2545C2212yes—
136#2544C2212yes—
137#2538C2211yescharacteristic
138#2536C2212yescomplemented
139#2536C2212yescomplemented
140#2532C2214yescomplemented
141#2532C2214yescomplemented
142#2532C2214yescomplemented
143#2531C2214yes—
144#2531C2214yescomplemented
145#2529C2214yescomplemented
146#2529C2214yescomplemented
147#2525C2214yescomplemented
148#2523C2214yescomplemented
149#2515C2214yes—
150#2515C2214yescomplemented
151#2514C2212yescomplemented
152#2513C2214yescomplemented
153#2508C2214yescomplemented
154#2504C2214yescomplemented
155#2503C2212yes—
156#2497C2212yescomplemented
157#2496C2212yescomplemented
158#2495C2212yescomplemented
159#2495C2212yescomplemented
160#2495C2212yescomplemented
161#2494C2212yescomplemented
162#2492C2212yes—
163#2492C2212yescomplemented
164#2490C2212yes—
165#2490C2212yes—
166#2489C2212yes—
167#2489C2212yes—
168#2489C2212yescomplemented
169#2486C2212yescomplemented
170#2485C2212yes—
171#2485C2212yes—
172#2485C2212yescomplemented
173#2485C2212yescomplemented
174#2485C2212yescomplemented
175#2481C2214yescomplemented
176#2480C2214yes—
177#2472C2212yes—
178#2466C2214yes—
179#2465C2214yescomplemented
180#2464C2212yes—
181#2461C2212yes—
182#2458C2214yescomplemented
183#2458C2214yescomplemented
184#2453C2212yescomplemented
185#2453C2212yescomplemented
186#2452C2211yescharacteristic
187#2451C2212yescomplemented
188#2448C2212yes—
189#2448C2212yes—
190#2447C2212yes—
191#2446C2212yescomplemented
192#2446C2212yescomplemented
193#2445C2212yes—
194#2445C2211yescharacteristic
195#2442C2212yescomplemented
196#2442C2212yescomplemented
197#2440C2211yescharacteristic
198#2439C2212yes—
199#2439C2212yescomplemented
200#2436C2212yes—
201#2436C2212yes—
202#2436C2212yescomplemented
203#2435C2212yes—
204#2435C2212yes—
205#2433C2211yescharacteristic
206#2429C2212yes—
207#2428C2211yescharacteristic
208#2427C2212yes—
209#2426C2212yes—
210#2424C2212yes—
211#2423C2212yescomplemented
212#2422C2211yescharacteristic
213#2421C2214yescomplemented
214#2420C2212yescomplemented
215#2417C2212yes—
216#2417C2212yescomplemented
217#2416C2211yescharacteristic
218#2415C2212yes—
219#2415C2212yes—
220#2415C2212yescomplemented
221#2409C2212yes—
222#2408C2211yescharacteristic
223#2398C2214yes—
224#2392C2212yes—
225#2388C2212yes—
226#2375C2214yes—
227#2375C2214yes—
228#2374C2214yescomplemented
229#2374C2214yescomplemented
230#2374C2214yescomplemented
231#2373C2212yes—
232#2373C2212yescomplemented
233#2369C2211yescharacteristic, complemented
234#2367C2212yes—
235#2367C2212yes—
236#2367C2212yescomplemented
237#2365C2211yescharacteristic, complemented
238#2365C2211yescharacteristic, complemented
239#2362C2211yescharacteristic
240#2362C2211yescharacteristic, complemented
241#2360C2212yes—
242#2360C2212yescomplemented
243#2356C2212yescomplemented
244#2355C2211yescharacteristic, complemented
245#2355C2212yescomplemented
246#2354C2211yescharacteristic
247#2354C2212yes—
248#2354C2211yescharacteristic
249#2354C2211yescharacteristic, complemented
250#2354C2212yescomplemented
251#2354C2212yescomplemented
252#2352C2212yes—
253#2352C2212yes—
254#2352C2212yescomplemented
255#2352C2212yescomplemented
256#2352C2212yescomplemented
257#2347C2211yescharacteristic
258#2347C2212yescomplemented
259#2347C2211yescharacteristic, complemented
260#2346C2212yescomplemented
261Q8×C22⋊C4C2212yescomplemented
262Q8×C22⋊C4C2212yescomplemented
263#2334C2214yescomplemented
264#2333C2214yes—
265#2333C2214yescomplemented
266#2332C2214yes—
267#2332C2214yescomplemented
268#2323C2212yescomplemented
269#2314C2212yescomplemented
270#2314C2212yescomplemented
271#2311C2212yescomplemented
272#2311C2212yescomplemented
273#2311C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#127C2211yescharacteristic
277C4×#125C2212yescomplemented
278C4×#126C2212yes—
279C4×#126C2212yescomplemented
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×#124C2212yescomplemented
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#120C2212yes—
289#2295C2212yescomplemented
290#2293C2211yescharacteristic
291#2280C2212yes—
292#2280C2212yes—
293#2280C2212yes—
294C42×Q8C2212yescomplemented
295C42×Q8C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×Q8C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#556—28no—
304#556—44no—
305#554—44no—
306#533—44no—
307#532—44no—
308C2×C4⋊Q8—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334#525—216no—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#120C2312yes—
358C2×#120C2312yes—
359C2×#120C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×D4—44no—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C22⋊C4C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404#401C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#399C2314yes—
418#399C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2312yes—
493#393C2314yes—
494#392C2312yes—
495#392C2312yes—
496#392C2312yes—
497#392C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
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#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2312yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#383C2312yes—
697#383C2312yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#379C2314yes—
745#379C2314yes—
746#379C2314yes—
747#379C2314yes—
748#379C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811#376C2314yes—
812#376C2312yes—
813#376C2312yes—
814C43C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2412yes—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4—42no—
833C22×D4—42no—
834C22×D4—42no—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C23×C4—28no—
849C23×C4—44no—
850C23×C4—44no—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C4⋊Q8—24no—
866C4⋊Q8—24no—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871C4⋊Q8—42no—
872C4⋊Q8—44no—
873#127—42no—
874#127—42no—
875#126—28no—
876#126—28no—
877#126—48no—
878#126—48no—
879#125—44no—
880#125—44no—
881#125—44no—
882#124—28no—
883#124—44no—
884#124—44no—
885#124—44no—
886#124—44no—
887#124—44no—
888#124—44no—
889#124—44no—
890#123—28no—
891#123—28no—
892#123—48no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—48no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905#121—28no—
906#121—28no—
907#121—44no—
908#121—42no—
909#121—42no—
910#121—42no—
911#121—42no—
912#120—28no—
913#120—28no—
914#120—44no—
915C4×Q8—28no—
916C4×Q8—24no—
917C4×Q8—24no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—42no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—44no—
933C4×D4—42no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—42no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4#4118yes—
942#117—24no—
943#117—24no—
944#117—28no—
945#117—42no—
946#117—42no—
947#117—44no—
948#117—44no—
949#117—44no—
950#117—44no—
951C2×C4⋊C4—42no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C22⋊C4—44no—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C42—24no—
1080C2×C42—24no—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186C24—24no—
1187C24—42no—
1188C24—42no—
1189C24—42no—
1190C24—42no—
1191C24—42no—
1192C24—42no—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2512yes—
1196C24C2511yescharacteristic
1197C24C2511yescharacteristic
1198#41—816no—
1199C2×Q8—22no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—816no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—42no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—416no—
1260C2×D4C2×#4114yes—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—41no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—41no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—816no—
1302C22×C4C2×#4114yes—
1303C22×C4C2×#4114yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2514yes—
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—28no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—41no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4C2×#4114yes—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4C2×#4114yes—
1456C22⋊C4C2×#4114yes—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—22no—
1469C42—22no—
1470C42—24no—
1471C42—22no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—42no—
1476C42—41no—
1477C42—42no—
1478C42—42no—
1479C42—44no—
1480C42—42no—
1481C42—42no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C42—44no—
1486C42—41no—
1487C42—44no—
1488C42—42no—
1489C42—42no—
1490C42—42no—
1491C42—44no—
1492C42C2×#4114yes—
1493C42H(5,𝔽2)14yes—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—48no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23—84no—
1533C23—84no—
1534C23C22×#4112yes—
1535C23C22×#4112yes—
1536C23C2611yescharacteristic
1537Q8—48no—
1538Q8—44no—
1539Q8—48no—
1540Q8—48no—
1541Q8—84no—
1542Q8—84no—
1543Q8—88no—
1544D4—44no—
1545D4—48no—
1546D4—44no—
1547D4—44no—
1548D4—44no—
1549D4—84no—
1550D4—84no—
1551D4—84no—
1552D4—84no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—84no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—28no—
1570C2×C4—28no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—21no—
1623C2×C4—24no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—44no—
1638C2×C4—48no—
1639C2×C4—48no—
1640C2×C4—48no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—82no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4—84no—
1647C2×C4—88no—
1648C2×C4—164no—
1649C2×C4C22×#4112yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4112yes—
1653C2×C4C22×#4112yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×H(5,𝔽2)12yes—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4#58512yes—
1658C2×C4#58512yes—
1659C2×C4#58512yes—
1660C2×C4#58512yes—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—816no—
1697C22C23×#4111yescharacteristic
1698C22C22×H(5,𝔽2)11yescharacteristic
1699C22C2×#58511yescharacteristic
1700C22C2×#58511yescharacteristic
1701C22C2×#58511yescharacteristic
1702C22C2×#58511yescharacteristic
1703C222−1+611yescharacteristic
1704C4—22no—
1705C4—22no—
1706C4—22no—
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—41no—
1711C4—41no—
1712C4—44no—
1713C4—44no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—44no—
1718C4—41no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—41no—
1727C4—42no—
1728C4—42no—
1729C4—41no—
1730C4—42no—
1731C4—44no—
1732C4#351414yes—
1733C4#354014yes—
1734C2—42no—
1735C2—42no—
1736C2—82no—
1737C2—82no—
1738C2—82no—
1739C2C2×#354011yescharacteristic
1740C2C2×#351411yescharacteristic
1741C2#6281511yescharacteristic
1742C2#6293911yescharacteristic
1743C2#6295411yescharacteristic
1744C2#6300911yescharacteristic
1745C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34681C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59863C2semidirect
2. #59489C2semidirect
3. #59201C2semidirect
4. #59134C2semidirect
5. #59079C2semidirect
6. #50111C2semidirect
7. #49250C2semidirect
8. #46073C2semidirect
9. #46061C2semidirect
10. #45133C2semidirect
11. #45125C2semidirect
12. #44405C2semidirect
13. #42993C2semidirect
14. #42473C2semidirect
15. #41508C2semidirect
16. #40104C2semidirect
17. #40097C2semidirect
18. #39911C2semidirect
19. #39515C2semidirect
20. #39470C2semidirect
21. #39248C2semidirect
22. #37844C2semidirect
23. #36602C2semidirect
24. #36534C2semidirect
25. #36459C2semidirect
26. #36315C2semidirect
27. #36161C2semidirect
28. #36129C2semidirect
29. #35289C2semidirect
30. #35184C2semidirect
31. #35117C2semidirect
32. #34946C2semidirect
34. #34361C2semidirect
35. C4×#556C2semidirect
38. C2×#554C22semidirect
41. C22×C4⋊Q8C22semidirect
44. #2863C22semidirect
45. #2862C22semidirect
46. #2862C22semidirect
49. #2861C22semidirect
53. #2857C22semidirect
57. #2808C22semidirect
58. #2808C22semidirect
60. #2798C22semidirect
62. #2779C22semidirect
63. #2778C22semidirect
64. #2775C22semidirect
65. #2767C22semidirect
67. #2762C22semidirect
68. #2759C22semidirect
70. #2756C22semidirect
71. #2754C22semidirect
75. #2751C22semidirect
76. #2741C22semidirect
80. #2716C22semidirect
82. #2700C22semidirect
89. #2681C22semidirect
90. #2666C22semidirect
91. #2665C22semidirect
92. #2654C22semidirect
93. #2653C22semidirect
94. #2650C22semidirect
95. #2640C22semidirect
96. #2637C22semidirect
97. #2628C22semidirect
98. #2616C22semidirect
99. #2597C22semidirect
100. #2597C22semidirect
101. #2593C22semidirect
102. #2593C22semidirect
105. #2592C22semidirect
106. #2589C22semidirect
107. #2581C22semidirect
108. #2578C22semidirect
110. #2572C22semidirect
111. #2568C22semidirect
112. #2565C22semidirect
115. #2563C22semidirect
116. #2563C22semidirect
117. #2563C22semidirect
121. #2560C22semidirect
122. #2560C22semidirect
123. #2560C22semidirect
124. #2559C22semidirect
125. #2553C22semidirect
126. #2552C22semidirect
127. #2550C22semidirect
128. #2550C22semidirect
133. #2547C22semidirect
134. #2547C22semidirect
138. #2536C22semidirect
139. #2536C22semidirect
140. #2532C22semidirect
141. #2532C22semidirect
142. #2532C22semidirect
144. #2531C22semidirect
145. #2529C22semidirect
146. #2529C22semidirect
147. #2525C22semidirect
148. #2523C22semidirect
150. #2515C22semidirect
151. #2514C22semidirect
152. #2513C22semidirect
153. #2508C22semidirect
154. #2504C22semidirect
156. #2497C22semidirect
157. #2496C22semidirect
158. #2495C22semidirect
159. #2495C22semidirect
160. #2495C22semidirect
161. #2494C22semidirect
163. #2492C22semidirect
168. #2489C22semidirect
169. #2486C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
174. #2485C22semidirect
175. #2481C22semidirect
179. #2465C22semidirect
182. #2458C22semidirect
183. #2458C22semidirect
184. #2453C22semidirect
185. #2453C22semidirect
187. #2451C22semidirect
191. #2446C22semidirect
192. #2446C22semidirect
195. #2442C22semidirect
196. #2442C22semidirect
199. #2439C22semidirect
202. #2436C22semidirect
211. #2423C22semidirect
213. #2421C22semidirect
214. #2420C22semidirect
216. #2417C22semidirect
220. #2415C22semidirect
228. #2374C22semidirect
229. #2374C22semidirect
230. #2374C22semidirect
232. #2373C22semidirect
233. #2369C22semidirect
236. #2367C22semidirect
237. #2365C22semidirect
238. #2365C22semidirect
240. #2362C22semidirect
242. #2360C22semidirect
243. #2356C22semidirect
244. #2355C22semidirect
245. #2355C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
254. #2352C22semidirect
255. #2352C22semidirect
256. #2352C22semidirect
258. #2347C22semidirect
259. #2347C22semidirect
260. #2346C22semidirect
261. Q8×C22⋊C4C22semidirect
262. Q8×C22⋊C4C22semidirect
263. #2334C22semidirect
265. #2333C22semidirect
267. #2332C22semidirect
268. #2323C22semidirect
269. #2314C22semidirect
270. #2314C22semidirect
271. #2311C22semidirect
272. #2311C22semidirect
273. #2311C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#125C22semidirect
279. C4×#126C22semidirect
283. C4×#124C22semidirect
285. C4×C22⋊Q8C22semidirect
289. #2295C22semidirect
294. C42×Q8C22semidirect
295. C42×Q8C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598632
#594892
#592012
#591342
#590792
#501112
#492502
#460732
#460612
#451332
#451252
#444052
#429932
#424732
#415082
#401042
#400972
#399112
#395152
#394702
#392482
#378442
#366022
#365342
#364592
#363152
#361612
#361292
#352892
#351842
#351172
#349462
#346812
#343612
C4×#5562