Finite Group Databasebeta

← #7712225

Subgroups — #7712225

Order 512.

4836 conjugacy classes of subgroups.

The subgroup lattice has 1673 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59961C212yesmaximal, complemented
2#59960C212yesmaximal, complemented
3#59918C212yesmaximal, complemented
4#59862C212yesmaximal
5#46168C214yesmaximal, complemented
6#45856C214yesmaximal, complemented
7#39200C211yesmaximal, characteristic, complemented
8#39192C211yesmaximal, characteristic, complemented
9#38964C211yesmaximal, characteristic, complemented
10#38954C211yesmaximal, characteristic, complemented
11#38892C214yesmaximal, complemented
12#38392C214yesmaximal, complemented
13#38240C212yesmaximal, complemented
14#38230C212yesmaximal, complemented
15#38217C212yesmaximal, complemented
16#38207C212yesmaximal, complemented
17#38069C212yesmaximal, complemented
18#38054C212yesmaximal
19#37631C211yesmaximal, characteristic, complemented
20#37628C211yesmaximal, characteristic, complemented
21#37400C212yesmaximal, complemented
22#37342C212yesmaximal, complemented
23#36635C211yesmaximal, characteristic, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36204C212yesmaximal, complemented
26#36177C211yesmaximal, characteristic, complemented
27#36161C211yesmaximal, characteristic
28#36133C211yesmaximal, characteristic, complemented
29#36130C212yesmaximal, complemented
30D4×C22⋊Q8C211yesmaximal, characteristic
31#35325C212yesmaximal, complemented
32#35311C212yesmaximal, complemented
33#34487C211yesmaximal, characteristic, complemented
34#34481C211yesmaximal, characteristic, complemented
35C2×#2293C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#533C2212yes—
39C22×C22⋊Q8C2212yes—
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2864C2212yescomplemented
43#2864C2212yescomplemented
44#2863C2212yescomplemented
45#2863C2212yescomplemented
46#2863C2211yescharacteristic, complemented
47#2863C2211yescharacteristic, complemented
48#2863C2212yescomplemented
49#2862C2211yescharacteristic, complemented
50#2862C2211yescharacteristic, complemented
51#2859C2211yescharacteristic, complemented
52#2859C2211yescharacteristic, complemented
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2855C2212yes—
58#2855C2211yescharacteristic
59#2855C2212yes—
60#2855C2212yes—
61#2855C2211yescharacteristic
62#2855C2212yes—
63#2855C2212yes—
64#2851C2212yes—
65#2851C2212yes—
66#2848C2212yes—
67#2848C2212yes—
68#2838C2214yescomplemented
69#2836C2214yescomplemented
70#2806C2214yescomplemented
71#2796C2214yes—
72#2793C2214yescomplemented
73#2792C2214yescomplemented
74#2787C2214yescomplemented
75#2775C2214yescomplemented
76#2775C2214yescomplemented
77#2774C2214yescomplemented
78#2773C2214yescomplemented
79#2772C2214yescomplemented
80#2770C2214yescomplemented
81#2767C2214yescomplemented
82#2766C2214yescomplemented
83#2765C2214yescomplemented
84#2764C2214yescomplemented
85#2763C2214yescomplemented
86#2761C2214yes—
87#2759C2214yescomplemented
88#2759C2214yescomplemented
89#2758C2214yescomplemented
90#2757C2214yes—
91#2754C2214yescomplemented
92#2751C2214yes—
93#2738C2214yescomplemented
94#2737C2214yes—
95#2725C2214yescomplemented
96#2723C2214yes—
97#2721C2214yescomplemented
98#2720C2214yescomplemented
99#2698C2214yescomplemented
100#2698C2214yescomplemented
101#2690C2214yescomplemented
102#2654C2214yescomplemented
103#2650C2214yescomplemented
104#2647C2212yescomplemented
105#2645C2212yescomplemented
106#2644C2212yes—
107#2640C2212yes—
108#2628C2212yescomplemented
109#2628C2212yescomplemented
110#2625C2212yescomplemented
111#2625C2212yescomplemented
112#2625C2212yescomplemented
113#2625C2212yescomplemented
114#2621C2212yescomplemented
115#2621C2212yescomplemented
116#2611C2214yescomplemented
117#2611C2214yescomplemented
118#2599C2214yescomplemented
119#2599C2214yescomplemented
120#2595C2214yes—
121#2592C2212yes—
122#2586C2214yescomplemented
123#2583C2214yes—
124#2582C2212yescomplemented
125#2580C2212yes—
126#2573C2214yescomplemented
127#2571C2211yescharacteristic, complemented
128#2568C2211yescharacteristic, complemented
129#2567C2212yescomplemented
130#2561C2214yes—
131#2561C2214yes—
132#2556C2214yescomplemented
133#2551C2211yescharacteristic, complemented
134#2549C2214yes—
135#2547C2211yescharacteristic
136#2546C2211yescharacteristic, complemented
137#2542C2211yescharacteristic
138#2538C2211yescharacteristic
139#2538C2211yescharacteristic
140#2533C2214yescomplemented
141#2532C2214yescomplemented
142#2530C2214yescomplemented
143#2529C2214yescomplemented
144#2527C2214yescomplemented
145#2527C2214yescomplemented
146#2523C2214yescomplemented
147#2516C2214yes—
148#2514C2212yescomplemented
149#2514C2212yescomplemented
150#2513C2212yes—
151#2513C2212yes—
152#2512C2212yes—
153#2511C2212yescomplemented
154#2509C2212yescomplemented
155#2509C2212yescomplemented
156#2508C2212yescomplemented
157#2507C2212yescomplemented
158#2507C2212yescomplemented
159#2507C2214yescomplemented
160#2506C2212yescomplemented
161#2503C2212yes—
162#2503C2214yes—
163#2502C2214yes—
164#2499C2214yescomplemented
165#2499C2212yescomplemented
166#2499C2214yescomplemented
167#2496C2212yescomplemented
168#2494C2212yescomplemented
169#2493C2214yes—
170#2493C2214yes—
171#2492C2212yescomplemented
172#2492C2212yescomplemented
173#2485C2212yes—
174#2484C2214yes—
175#2484C2214yescomplemented
176#2484C2214yescomplemented
177#2483C2214yes—
178#2483C2214yes—
179#2482C2214yes—
180#2480C2214yes—
181#2480C2214yes—
182#2473C2214yescomplemented
183#2466C2214yes—
184#2465C2214yescomplemented
185#2462C2214yescomplemented
186#2452C2212yes—
187#2452C2212yes—
188#2451C2212yescomplemented
189#2451C2212yescomplemented
190#2451C2212yescomplemented
191#2451C2212yescomplemented
192#2449C2214yes—
193#2448C2212yes—
194#2448C2212yes—
195#2447C2212yes—
196#2447C2212yes—
197#2447C2212yes—
198#2446C2212yescomplemented
199#2440C2212yes—
200#2440C2212yes—
201#2440C2212yescomplemented
202#2439C2212yescomplemented
203#2438C2214yes—
204#2438C2214yes—
205#2437C2214yes—
206#2437C2214yes—
207#2435C2212yes—
208#2434C2212yescomplemented
209#2429C2212yescomplemented
210#2429C2212yescomplemented
211#2423C2212yescomplemented
212#2421C2212yescomplemented
213#2417C2212yes—
214#2415C2212yes—
215#2409C2212yes—
216#2383C2214yescomplemented
217#2378C2214yescomplemented
218#2373C2214yescomplemented
219#2369C2212yescomplemented
220#2368C2214yes—
221#2367C2212yes—
222#2367C2212yes—
223#2365C2211yescharacteristic, complemented
224#2365C2211yescharacteristic, complemented
225#2365C2212yescomplemented
226#2362C2212yescomplemented
227#2360C2212yes—
228#2360C2212yes—
229#2360C2214yescomplemented
230#2360C2212yescomplemented
231#2357C2212yes—
232#2356C2212yescomplemented
233#2355C2211yescharacteristic, complemented
234#2354C2211yescharacteristic
235Q8×C4⋊C4C2212yescomplemented
236Q8×C4⋊C4C2211yescharacteristic, complemented
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2212yes—
239#2347C2212yescomplemented
240#2344C2212yes—
241#2342C2214yes—
242Q8×C22⋊C4C2212yescomplemented
243D4×C22⋊C4C2212yes—
244#2334C2214yescomplemented
245#2332C2214yescomplemented
246#2331C2212yescomplemented
247#2326C2212yes—
248#2323C2212yescomplemented
249#2323C2212yescomplemented
250#2323C2212yescomplemented
251#2323C2212yescomplemented
252#2320C2212yescomplemented
253#2319C2212yes—
254#2317C2212yescomplemented
255#2317C2212yescomplemented
256#2310C2212yescomplemented
257#2310C2212yescomplemented
258C4×C4⋊Q8C2211yescharacteristic, complemented
259C4×C4⋊Q8C2211yescharacteristic, complemented
260C4×C4⋊Q8C2211yescharacteristic, complemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#125C2212yescomplemented
263C4×#125C2212yescomplemented
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2211yescharacteristic
269#2295C2212yescomplemented
270#2295C2212yescomplemented
271#2295C2212yescomplemented
272#2295C2211yescharacteristic, complemented
273#2295C2211yescharacteristic, complemented
274#2293C2212yes—
275#2293C2211yescharacteristic
276#2293C2212yes—
277#2293C2211yescharacteristic
278#2293C2211yescharacteristic
279#2293C2211yescharacteristic
280#2293C2212yes—
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#388C2212yes—
291C2×#388C2212yes—
292#2283C2212yes—
293#2283C2212yes—
294#2283C2212yes—
295#2280C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C23×Q8C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303D4×Q8—28no—
304#533—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×C22⋊Q8—48no—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×C4×D4—28no—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×#117—48no—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2314yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389#401C2314yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
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#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
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#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#386C2314yes—
674#386C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2314yes—
704#384C2314yes—
705#384C2312yes—
706#384C2312yes—
707#383C2314yes—
708#383C2314yes—
709#383C2312yes—
710#383C2312yes—
711#383C2314yes—
712#383C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#381C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#379C2314yes—
754#379C2314yes—
755#379C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C22×Q8—28no—
818C22×Q8—44no—
819C22×Q8—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—42no—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C23×C4—28no—
834C23×C4—28no—
835C23×C4—44no—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2411yescharacteristic
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—42no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—42no—
859C4⋊Q8—44no—
860#126—216no—
861#126—48no—
862#125—44no—
863#125—44no—
864#125—48no—
865#124—28no—
866#124—44no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—24no—
870C22⋊Q8—28no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—216no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—44no—
887C4×Q8—48no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—44no—
900C4×D4#4118yes—
901#117—28no—
902#117—44no—
903#117—44no—
904#117—44no—
905#117—44no—
906#117—44no—
907#117—44no—
908#117—44no—
909#117—44no—
910#117—48no—
911#117—44no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4—48no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4—28no—
994C2×C22⋊C4—28no—
995C2×C22⋊C4—44no—
996C2×C22⋊C4—48no—
997C2×C22⋊C4—44no—
998C2×C22⋊C4—44no—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C42—24no—
1040C2×C42—28no—
1041C2×C42—24no—
1042C2×C42—24no—
1043C2×C42—24no—
1044C2×C42—42no—
1045C2×C42—42no—
1046C2×C42—42no—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—24no—
1170C24—24no—
1171C24—24no—
1172C24—24no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24C2512yes—
1177C24C2512yes—
1178C24C2511yescharacteristic
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—28no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—44no—
1194C2×Q8—42no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—42no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8—816no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—416no—
1209C2×D4—42no—
1210C2×D4C2×#4114yes—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—432no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4C2×#4118yes—
1257C22×C4H(5,𝔽2)14yes—
1258C22×C42−1+414yes—
1259C22×C42−1+414yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4C2×#4114yes—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4C2×#4118yes—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—28no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—24no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—24no—
1436C42—41no—
1437C42—41no—
1438C42—41no—
1439C42—41no—
1440C42—41no—
1441C42—41no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42C2×#4114yes—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—48no—
1468C23—48no—
1469C23—48no—
1470C23—48no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23C22×#4114yes—
1475C23C2×H(5,𝔽2)12yes—
1476C23C2×2−1+412yes—
1477C23C2×2−1+412yes—
1478C23C2611yescharacteristic
1479Q8—48no—
1480Q8—44no—
1481Q8—48no—
1482Q8—44no—
1483Q8—84no—
1484Q8—88no—
1485Q8—88no—
1486D4—28no—
1487D4—48no—
1488D4—44no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—28no—
1504C2×C4—28no—
1505C2×C4—216no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—44no—
1576C2×C4—48no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—84no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C2×H(5,𝔽2)12yes—
1593C2×C4C2×H(5,𝔽2)12yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C2×C4#58512yes—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—24no—
1608C22—24no—
1609C22—24no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—816no—
1622C22#355014yes—
1623C22C23×#4111yescharacteristic
1624C22C22×H(5,𝔽2)11yescharacteristic
1625C22C22×2−1+411yescharacteristic
1626C22C22×2−1+411yescharacteristic
1627C22C2×#58511yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C4—22no—
1631C4—24no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—42no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4—41no—
1642C4—41no—
1643C4—42no—
1644C4—42no—
1645C4—44no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—44no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—42no—
1658C4—44no—
1659C4—41no—
1660C4#349514yes—
1661C4#351314yes—
1662C2—24no—
1663C2—44no—
1664C2—82no—
1665C2C2×#355011yescharacteristic
1666C2#6275911yescharacteristic
1667C2C2×#351311yescharacteristic
1668C2C2×#349511yescharacteristic
1669C2#6280511yescharacteristic
1670C2#6282311yescharacteristic
1671C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59961C2semidirect
2. #59960C2semidirect
3. #59918C2semidirect
5. #46168C2semidirect
6. #45856C2semidirect
7. #39200C2semidirect
8. #39192C2semidirect
9. #38964C2semidirect
10. #38954C2semidirect
11. #38892C2semidirect
12. #38392C2semidirect
13. #38240C2semidirect
14. #38230C2semidirect
15. #38217C2semidirect
16. #38207C2semidirect
17. #38069C2semidirect
19. #37631C2semidirect
20. #37628C2semidirect
21. #37400C2semidirect
22. #37342C2semidirect
23. #36635C2semidirect
24. #36635C2semidirect
25. #36204C2semidirect
26. #36177C2semidirect
28. #36133C2semidirect
29. #36130C2semidirect
31. #35325C2semidirect
32. #35311C2semidirect
33. #34487C2semidirect
34. #34481C2semidirect
42. #2864C22semidirect
43. #2864C22semidirect
44. #2863C22semidirect
45. #2863C22semidirect
46. #2863C22semidirect
47. #2863C22semidirect
48. #2863C22semidirect
49. #2862C22semidirect
50. #2862C22semidirect
51. #2859C22semidirect
52. #2859C22semidirect
68. #2838C22semidirect
69. #2836C22semidirect
70. #2806C22semidirect
72. #2793C22semidirect
73. #2792C22semidirect
74. #2787C22semidirect
75. #2775C22semidirect
76. #2775C22semidirect
77. #2774C22semidirect
78. #2773C22semidirect
79. #2772C22semidirect
80. #2770C22semidirect
81. #2767C22semidirect
82. #2766C22semidirect
83. #2765C22semidirect
84. #2764C22semidirect
85. #2763C22semidirect
87. #2759C22semidirect
88. #2759C22semidirect
89. #2758C22semidirect
91. #2754C22semidirect
93. #2738C22semidirect
95. #2725C22semidirect
97. #2721C22semidirect
98. #2720C22semidirect
99. #2698C22semidirect
100. #2698C22semidirect
101. #2690C22semidirect
102. #2654C22semidirect
103. #2650C22semidirect
104. #2647C22semidirect
105. #2645C22semidirect
108. #2628C22semidirect
109. #2628C22semidirect
110. #2625C22semidirect
111. #2625C22semidirect
112. #2625C22semidirect
113. #2625C22semidirect
114. #2621C22semidirect
115. #2621C22semidirect
116. #2611C22semidirect
117. #2611C22semidirect
118. #2599C22semidirect
119. #2599C22semidirect
122. #2586C22semidirect
124. #2582C22semidirect
126. #2573C22semidirect
127. #2571C22semidirect
128. #2568C22semidirect
129. #2567C22semidirect
132. #2556C22semidirect
133. #2551C22semidirect
136. #2546C22semidirect
140. #2533C22semidirect
141. #2532C22semidirect
142. #2530C22semidirect
143. #2529C22semidirect
144. #2527C22semidirect
145. #2527C22semidirect
146. #2523C22semidirect
148. #2514C22semidirect
149. #2514C22semidirect
153. #2511C22semidirect
154. #2509C22semidirect
155. #2509C22semidirect
156. #2508C22semidirect
157. #2507C22semidirect
158. #2507C22semidirect
159. #2507C22semidirect
160. #2506C22semidirect
164. #2499C22semidirect
165. #2499C22semidirect
166. #2499C22semidirect
167. #2496C22semidirect
168. #2494C22semidirect
171. #2492C22semidirect
172. #2492C22semidirect
175. #2484C22semidirect
176. #2484C22semidirect
182. #2473C22semidirect
184. #2465C22semidirect
185. #2462C22semidirect
188. #2451C22semidirect
189. #2451C22semidirect
190. #2451C22semidirect
191. #2451C22semidirect
198. #2446C22semidirect
201. #2440C22semidirect
202. #2439C22semidirect
208. #2434C22semidirect
209. #2429C22semidirect
210. #2429C22semidirect
211. #2423C22semidirect
212. #2421C22semidirect
216. #2383C22semidirect
217. #2378C22semidirect
218. #2373C22semidirect
219. #2369C22semidirect
223. #2365C22semidirect
224. #2365C22semidirect
225. #2365C22semidirect
226. #2362C22semidirect
229. #2360C22semidirect
230. #2360C22semidirect
232. #2356C22semidirect
233. #2355C22semidirect
235. Q8×C4⋊C4C22semidirect
236. Q8×C4⋊C4C22semidirect
239. #2347C22semidirect
242. Q8×C22⋊C4C22semidirect
244. #2334C22semidirect
245. #2332C22semidirect
246. #2331C22semidirect
248. #2323C22semidirect
249. #2323C22semidirect
250. #2323C22semidirect
251. #2323C22semidirect
252. #2320C22semidirect
254. #2317C22semidirect
255. #2317C22semidirect
256. #2310C22semidirect
257. #2310C22semidirect
258. C4×C4⋊Q8C22semidirect
259. C4×C4⋊Q8C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×#125C22semidirect
263. C4×#125C22semidirect
269. #2295C22semidirect
270. #2295C22semidirect
271. #2295C22semidirect
272. #2295C22semidirect
273. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#599612
#599602
#599182
#598622
#461682
#458562
#392002
#391922
#389642
#389542
#388922
#383922
#382402
#382302
#382172
#382072
#380692
#380542
#376312
#376282
#374002
#373422
#366352
#362042
#361772
#361612
#361332
#361302
D4×C22⋊Q82
#353252
#353112
#344872
#344812
C2×#22932