Finite Group Databasebeta

← #7690712

Subgroups — #7690712

Order 512.

5131 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59511C212yesmaximal, complemented
2#59440C212yesmaximal, complemented
3#59435C211yesmaximal, characteristic, complemented
4#59302C211yesmaximal, characteristic, complemented
5#59288C212yesmaximal, complemented
6#59249C211yesmaximal, characteristic, complemented
7#59205C212yesmaximal, complemented
8#59169C214yesmaximal, complemented
9#45403C212yesmaximal, complemented
10#45118C212yesmaximal, complemented
11#43999C214yesmaximal, complemented
12#43622C214yesmaximal, complemented
13#39479C211yesmaximal, characteristic, complemented
14#39476C212yesmaximal, complemented
15#39080C212yesmaximal, complemented
16#39075C214yesmaximal, complemented
17#38931C211yesmaximal, characteristic, complemented
18#38928C212yesmaximal, complemented
19#36312C211yesmaximal, characteristic, complemented
20#36290C211yesmaximal, characteristic, complemented
21#36275C211yesmaximal, characteristic, complemented
22#36254C212yesmaximal, complemented
23#36207C212yesmaximal, complemented
24#36181C211yesmaximal, characteristic, complemented
25#36154C211yesmaximal, characteristic, complemented
26D4×#126C212yesmaximal, complemented
27#35976C212yesmaximal
28#35961C212yesmaximal, complemented
29#34898C211yesmaximal, characteristic, complemented
30C2×#2496C212yesmaximal, complemented
31#34260C212yesmaximal, complemented
32#34194C211yesmaximal, characteristic, complemented
33#34183C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×#552C2212yes—
38C2×#546C2211yescharacteristic
39C22×#126C2214yes—
40C2×#520C2212yes—
41C2×C4×#41C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43#2860C2212yes—
44#2859C2211yescharacteristic, complemented
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic, complemented
47#2855C2212yescomplemented
48#2852C2214yes—
49#2851C2212yescomplemented
50#2848C2212yes—
51#2794C2214yescomplemented
52#2793C2214yescomplemented
53#2793C2214yescomplemented
54#2791C2214yescomplemented
55#2775C2214yescomplemented
56#2773C2214yescomplemented
57#2772C2214yescomplemented
58#2770C2214yes—
59#2768C2214yescomplemented
60#2767C2214yescomplemented
61#2767C2214yescomplemented
62#2758C2214yescomplemented
63#2754C2214yescomplemented
64#2750C2214yescomplemented
65#2743C2214yescomplemented
66#2739C2214yescomplemented
67#2738C2214yescomplemented
68#2721C2214yescomplemented
69#2702C2214yescomplemented
70#2698C2214yes—
71#2695C2214yes—
72#2647C2212yescomplemented
73#2646C2214yescomplemented
74#2624C2212yes—
75#2623C2214yes—
76#2604C2214yescomplemented
77#2601C2214yescomplemented
78#2596C2214yescomplemented
79#2590C2214yescomplemented
80#2582C2211yescharacteristic, complemented
81#2577C2212yescomplemented
82#2575C2212yes—
83#2575C2214yescomplemented
84#2575C2214yescomplemented
85#2571C2211yescharacteristic, complemented
86#2571C2212yescomplemented
87#2570C2212yescomplemented
88#2570C2211yescharacteristic, complemented
89#2570C2212yescomplemented
90#2569C2214yescomplemented
91#2567C2211yescharacteristic, complemented
92#2565C2211yescharacteristic, complemented
93#2565C2212yescomplemented
94#2563C2211yescharacteristic
95#2562C2211yescharacteristic
96#2562C2212yescomplemented
97#2553C2214yes—
98#2552C2211yescharacteristic, complemented
99#2538C2211yescharacteristic
100#2536C2211yescharacteristic
101#2533C2214yescomplemented
102#2533C2214yescomplemented
103#2530C2214yes—
104#2529C2214yescomplemented
105#2524C2212yescomplemented
106#2519C2214yescomplemented
107#2519C2214yescomplemented
108#2517C2214yes—
109#2515C2214yescomplemented
110#2512C2212yes—
111#2512C2212yes—
112#2512C2212yes—
113#2511C2212yescomplemented
114#2509C2212yescomplemented
115#2509C2212yescomplemented
116#2509C2212yescomplemented
117#2508C2212yescomplemented
118#2508C2212yescomplemented
119#2507C2212yescomplemented
120#2506C2212yescomplemented
121#2506C2212yescomplemented
122#2505C2214yescomplemented
123#2505C2214yescomplemented
124#2505C2214yescomplemented
125#2505C2214yescomplemented
126#2504C2212yes—
127#2503C2212yescomplemented
128#2499C2212yes—
129#2499C2212yescomplemented
130#2498C2214yes—
131#2496C2212yes—
132#2496C2212yes—
133#2496C2212yes—
134#2496C2212yes—
135#2496C2214yes—
136#2496C2214yes—
137#2496C2212yes—
138#2496C2211yescharacteristic
139#2496C2212yes—
140#2496C2212yescomplemented
141#2496C2212yescomplemented
142#2496C2214yescomplemented
143#2496C2212yescomplemented
144#2496C2212yescomplemented
145#2496C2214yescomplemented
146#2495C2212yes—
147#2495C2212yescomplemented
148#2495C2211yescharacteristic, complemented
149#2489C2212yes—
150#2487C2212yes—
151#2487C2212yescomplemented
152#2486C2212yes—
153#2486C2212yes—
154#2485C2212yescomplemented
155#2482C2214yes—
156#2481C2214yes—
157#2481C2214yes—
158#2481C2214yes—
159#2481C2214yescomplemented
160#2480C2214yes—
161#2480C2214yes—
162#2480C2214yes—
163#2479C2214yescomplemented
164#2478C2214yes—
165#2473C2214yescomplemented
166#2473C2214yescomplemented
167#2468C2212yes—
168#2454C2212yes—
169#2453C2212yescomplemented
170#2450C2214yes—
171#2449C2214yescomplemented
172#2448C2212yes—
173#2448C2212yes—
174#2444C2214yes—
175#2444C2214yes—
176#2442C2212yes—
177#2442C2212yescomplemented
178#2442C2214yescomplemented
179#2442C2212yescomplemented
180#2441C2212yescomplemented
181#2441C2212yescomplemented
182#2441C2212yescomplemented
183#2438C2214yescomplemented
184#2437C2214yes—
185#2423C2211yescharacteristic
186#2423C2212yescomplemented
187#2421C2212yes—
188#2421C2212yes—
189#2421C2211yescharacteristic, complemented
190#2418C2214yes—
191#2418C2214yes—
192#2417C2212yes—
193#2417C2212yescomplemented
194#2417C2212yescomplemented
195#2402C2212yescomplemented
196#2395C2212yes—
197C2×#400C2214yescomplemented
198C2×#397C2214yes—
199#2373C2214yes—
200#2370C2212yescomplemented
201#2370C2212yescomplemented
202#2369C2211yescharacteristic, complemented
203#2368C2214yescomplemented
204#2367C2211yescharacteristic
205#2364C2212yes—
206#2363C2211yescharacteristic
207#2362C2212yescomplemented
208#2360C2211yescharacteristic
209#2360C2212yescomplemented
210#2359C2212yes—
211#2358C2212yes—
212#2356C2212yescomplemented
213#2355C2212yescomplemented
214#2355C2211yescharacteristic, complemented
215#2354C2211yescharacteristic
216#2354C2211yescharacteristic
217#2353C2214yescomplemented
218#2352C2212yes—
219#2352C2212yes—
220#2352C2211yescharacteristic
221#2352C2214yescomplemented
222#2352C2212yescomplemented
223Q8×C4⋊C4C2211yescharacteristic, complemented
224Q8×C4⋊C4C2211yescharacteristic, complemented
225Q8×C4⋊C4C2212yescomplemented
226#2349C2212yes—
227#2349C2211yescharacteristic
228#2349C2212yes—
229#2349C2212yes—
230D4×C4⋊C4C2212yes—
231D4×C4⋊C4C2212yes—
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2212yescomplemented
237D4×C4⋊C4C2214yescomplemented
238D4×C4⋊C4C2212yescomplemented
239#2346C2212yescomplemented
240#2346C2212yescomplemented
241#2345C2212yes—
242#2345C2212yescomplemented
243#2345C2212yescomplemented
244#2344C2212yescomplemented
245#2344C2212yescomplemented
246#2343C2214yescomplemented
247#2343C2214yescomplemented
248#2342C2214yes—
249#2342C2212yes—
250#2339C2211yescharacteristic
251#2339C2212yes—
252D4×C22⋊C4C2211yescharacteristic
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255#2320C2212yescomplemented
256#2319C2212yes—
257#2318C2214yes—
258#2318C2214yescomplemented
259#2317C2212yescomplemented
260#2317C2214yescomplemented
261#2314C2212yescomplemented
262#2313C2214yescomplemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×#125C2211yescharacteristic, complemented
265C4×#125C2212yescomplemented
266C4×#126C2212yes—
267C4×#124C2211yescharacteristic
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2214yescomplemented
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×#123C2212yes—
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#120C2212yes—
277#2298C2212yescomplemented
278#2295C2212yescomplemented
279C2×#389C2212yescomplemented
280C2×#389C2212yescomplemented
281#2290C2214yescomplemented
282C2×#387C2214yescomplemented
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic, complemented
285#2285C2212yescomplemented
286C2×#384C2212yescomplemented
287C2×#384C2211yescharacteristic, complemented
288#2283C2211yescharacteristic
289#2280C2212yes—
290C2×#380C2212yes—
291C2×#380C2212yes—
292#2275C2212yes—
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303#552—48no—
304#546—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×#126—416no—
307C2×#126C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2311yescharacteristic
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×#120C2312yes—
334#520—216no—
335C4×#41—28no—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×D4—28no—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2314yes—
370C2×#117C2312yes—
371C2×#117C2314yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2314yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2314yes—
384C22×C4⋊C4C2314yes—
385C22×C4⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2314yes—
391C22×C42C2312yes—
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395C22×C42C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#399C2312yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#395C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#393C2314yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2314yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2311yescharacteristic
492#390C2312yes—
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2314yes—
575#387C2312yes—
576#387C2314yes—
577#387C2312yes—
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#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2312yes—
623#386C2314yes—
624#386C2312yes—
625#386C2314yes—
626#386C2312yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2314yes—
633#386C2312yes—
634#386C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#385C2314yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2314yes—
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2314yes—
674#384C2312yes—
675#383C2312yes—
676#383C2312yes—
677#383C2314yes—
678#383C2314yes—
679#382C2312yes—
680#382C2311yescharacteristic
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2314yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#382C2314yes—
693#382C2314yes—
694#382C2312yes—
695#381C2312yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2312yes—
700#381C2314yes—
701#380C2311yescharacteristic
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#380C2314yes—
712#380C2312yes—
713#380C2314yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#379C2314yes—
737#379C2314yes—
738#379C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2311yescharacteristic
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C25C2412yes—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41#4118yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C23×C4—28no—
834C23×C4—44no—
835C23×C4—44no—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C4⋊Q8—24no—
857#126—28no—
858#126—216no—
859#126—48no—
860#126—48no—
861#126—48no—
862#126—48no—
863#126—48no—
864#126—48no—
865#125—28no—
866#125—44no—
867#125—42no—
868#125—44no—
869#125—48no—
870#124—24no—
871#123—28no—
872#123—48no—
873C22⋊Q8—24no—
874C22⋊Q8—28no—
875C22⋊Q8—216no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—42no—
880C22⋊Q8—42no—
881#121—28no—
882#121—24no—
883#120—28no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—44no—
890C4×Q8—42no—
891C4×Q8—42no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—216no—
895C4×D4—216no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—44no—
911C4×D4—42no—
912C4×D4#4118yes—
913#117—216no—
914#117—28no—
915#117—24no—
916#117—28no—
917#117—48no—
918#117—44no—
919#117—44no—
920#117—44no—
921C2×C4⋊C4—216no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—28no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—48no—
930C2×C4⋊C4—48no—
931C2×C4⋊C4—48no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C22⋊C4—28no—
1007C2×C22⋊C4—28no—
1008C2×C22⋊C4—28no—
1009C2×C22⋊C4—48no—
1010C2×C22⋊C4—48no—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C42—28no—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—48no—
1062C2×C42—44no—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2411yescharacteristic
1135#95C2414yes—
1136#95C2411yescharacteristic
1137#95C2414yes—
1138#95C2414yes—
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24—24no—
1177C24—24no—
1178C24—24no—
1179C24—24no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24C2512yes—
1184C24C2511yescharacteristic
1185C24C2511yescharacteristic
1186C24C2512yes—
1187#41—232no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8C2×#4114yes—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—416no—
1212C2×D4C2×#4118yes—
1213C2×D4C2×#4114yes—
1214C2×D4C2×#4114yes—
1215C2×D42−1+414yes—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—28no—
1227C22×C4—28no—
1228C22×C4—28no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—28no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—42no—
1273C22×C4—816no—
1274C22×C4C2×#4118yes—
1275C22×C4C2×#4118yes—
1276C22×C4C2×#4114yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2514yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—41no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4C2×#4114yes—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—22no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—22no—
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—22no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4C2×#4118yes—
1427C22⋊C4H(5,𝔽2)14yes—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—22no—
1436C42—24no—
1437C42—28no—
1438C42—28no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—24no—
1443C42—24no—
1444C42—28no—
1445C42—22no—
1446C42—22no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—22no—
1451C42—42no—
1452C42—42no—
1453C42—44no—
1454C42—44no—
1455C42—41no—
1456C42—42no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—42no—
1461C42—42no—
1462C42C2×#4114yes—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—48no—
1487C23—48no—
1488C23—48no—
1489C23—48no—
1490C23—84no—
1491C23—84no—
1492C23—84no—
1493C23C22×#4112yes—
1494C23C22×#4114yes—
1495C23C22×#4114yes—
1496C23C2×H(5,𝔽2)12yes—
1497C23C2×2−1+414yes—
1498C23C2611yescharacteristic
1499Q8—28no—
1500Q8—44no—
1501Q8—84no—
1502D4—216no—
1503D4—44no—
1504D4—48no—
1505D4—44no—
1506D4—84no—
1507D4#552116yescomplemented
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—216no—
1521C2×C4—28no—
1522C2×C4—216no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—48no—
1599C2×C4—44no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—88no—
1603C2×C4—84no—
1604C2×C4—88no—
1605C2×C4—88no—
1606C2×C4—88no—
1607C2×C4—88no—
1608C2×C4—84no—
1609C2×C4C22×#4114yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4114yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4112yes—
1616C2×C4C2×H(5,𝔽2)12yes—
1617C2×C4C2×H(5,𝔽2)12yes—
1618C2×C4C2×2−1+412yes—
1619C2×C4#58512yes—
1620C2×C4#58512yes—
1621C22—24no—
1622C22—24no—
1623C22—24no—
1624C22—24no—
1625C22—24no—
1626C22—24no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—816no—
1649C22C2×#55218yes—
1650C22C23×#4111yescharacteristic
1651C22C23×#4111yescharacteristic
1652C22C22×H(5,𝔽2)11yescharacteristic
1653C22C22×2−1+411yescharacteristic
1654C22C2×#58511yescharacteristic
1655C22C2×#58511yescharacteristic
1656C222−1+611yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—24no—
1661C4—22no—
1662C4—24no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—44no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—44no—
1673C4—42no—
1674C4—41no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—42no—
1679C4—44no—
1680C4—42no—
1681C4—44no—
1682C4—41no—
1683C4—41no—
1684C4—42no—
1685C4—41no—
1686C4C2×#55214yes—
1687C4#352114yes—
1688C2—28no—
1689C2—42no—
1690C2—42no—
1691C2—82no—
1692C2C22×#55211yescharacteristic
1693C2C2×#352111yescharacteristic
1694C2#6280011yescharacteristic
1695C2#6295011yescharacteristic
1696C2#6298511yescharacteristic
1697C2#6299511yescharacteristic
1698C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#546C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59511C2semidirect
2. #59440C2semidirect
3. #59435C2semidirect
4. #59302C2semidirect
5. #59288C2semidirect
6. #59249C2semidirect
7. #59205C2semidirect
8. #59169C2semidirect
9. #45403C2semidirect
10. #45118C2semidirect
11. #43999C2semidirect
12. #43622C2semidirect
13. #39479C2semidirect
14. #39476C2semidirect
15. #39080C2semidirect
16. #39075C2semidirect
17. #38931C2semidirect
18. #38928C2semidirect
19. #36312C2semidirect
20. #36290C2semidirect
21. #36275C2semidirect
22. #36254C2semidirect
23. #36207C2semidirect
24. #36181C2semidirect
25. #36154C2semidirect
26. D4×#126C2semidirect
28. #35961C2semidirect
29. #34898C2semidirect
30. C2×#2496C2semidirect
31. #34260C2semidirect
32. #34194C2semidirect
33. #34183C2semidirect
34. C4×#554C2semidirect
44. #2859C22semidirect
46. #2857C22semidirect
47. #2855C22semidirect
49. #2851C22semidirect
51. #2794C22semidirect
52. #2793C22semidirect
53. #2793C22semidirect
54. #2791C22semidirect
55. #2775C22semidirect
56. #2773C22semidirect
57. #2772C22semidirect
59. #2768C22semidirect
60. #2767C22semidirect
61. #2767C22semidirect
62. #2758C22semidirect
63. #2754C22semidirect
64. #2750C22semidirect
65. #2743C22semidirect
66. #2739C22semidirect
67. #2738C22semidirect
68. #2721C22semidirect
69. #2702C22semidirect
72. #2647C22semidirect
73. #2646C22semidirect
76. #2604C22semidirect
77. #2601C22semidirect
78. #2596C22semidirect
79. #2590C22semidirect
80. #2582C22semidirect
81. #2577C22semidirect
83. #2575C22semidirect
84. #2575C22semidirect
85. #2571C22semidirect
86. #2571C22semidirect
87. #2570C22semidirect
88. #2570C22semidirect
89. #2570C22semidirect
90. #2569C22semidirect
91. #2567C22semidirect
92. #2565C22semidirect
93. #2565C22semidirect
96. #2562C22semidirect
98. #2552C22semidirect
101. #2533C22semidirect
102. #2533C22semidirect
104. #2529C22semidirect
105. #2524C22semidirect
106. #2519C22semidirect
107. #2519C22semidirect
109. #2515C22semidirect
113. #2511C22semidirect
114. #2509C22semidirect
115. #2509C22semidirect
116. #2509C22semidirect
117. #2508C22semidirect
118. #2508C22semidirect
119. #2507C22semidirect
120. #2506C22semidirect
121. #2506C22semidirect
122. #2505C22semidirect
123. #2505C22semidirect
124. #2505C22semidirect
125. #2505C22semidirect
127. #2503C22semidirect
129. #2499C22semidirect
140. #2496C22semidirect
141. #2496C22semidirect
142. #2496C22semidirect
143. #2496C22semidirect
144. #2496C22semidirect
145. #2496C22semidirect
147. #2495C22semidirect
148. #2495C22semidirect
151. #2487C22semidirect
154. #2485C22semidirect
159. #2481C22semidirect
163. #2479C22semidirect
165. #2473C22semidirect
166. #2473C22semidirect
169. #2453C22semidirect
171. #2449C22semidirect
177. #2442C22semidirect
178. #2442C22semidirect
179. #2442C22semidirect
180. #2441C22semidirect
181. #2441C22semidirect
182. #2441C22semidirect
183. #2438C22semidirect
186. #2423C22semidirect
189. #2421C22semidirect
193. #2417C22semidirect
194. #2417C22semidirect
195. #2402C22semidirect
197. C2×#400C22semidirect
200. #2370C22semidirect
201. #2370C22semidirect
202. #2369C22semidirect
203. #2368C22semidirect
207. #2362C22semidirect
209. #2360C22semidirect
212. #2356C22semidirect
213. #2355C22semidirect
214. #2355C22semidirect
217. #2353C22semidirect
221. #2352C22semidirect
222. #2352C22semidirect
223. Q8×C4⋊C4C22semidirect
224. Q8×C4⋊C4C22semidirect
225. Q8×C4⋊C4C22semidirect
236. D4×C4⋊C4C22semidirect
237. D4×C4⋊C4C22semidirect
238. D4×C4⋊C4C22semidirect
239. #2346C22semidirect
240. #2346C22semidirect
242. #2345C22semidirect
243. #2345C22semidirect
244. #2344C22semidirect
245. #2344C22semidirect
246. #2343C22semidirect
247. #2343C22semidirect
255. #2320C22semidirect
258. #2318C22semidirect
259. #2317C22semidirect
260. #2317C22semidirect
261. #2314C22semidirect
262. #2313C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×#125C22semidirect
265. C4×#125C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
277. #2298C22semidirect
278. #2295C22semidirect
279. C2×#389C22semidirect
280. C2×#389C22semidirect
281. #2290C22semidirect
282. C2×#387C22semidirect
284. #2285C22semidirect
285. #2285C22semidirect
286. C2×#384C22semidirect
287. C2×#384C22semidirect
293. C42×Q8C22semidirect
297. C2×C4×C4⋊C4C22semidirect
1507. D4#552semidirect

Maximal subgroups

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

subgroupindex
#595112
#594402
#594352
#593022
#592882
#592492
#592052
#591692
#454032
#451182
#439992
#436222
#394792
#394762
#390802
#390752
#389312
#389282
#363122
#362902
#362752
#362542
#362072
#361812
#361542
D4×#1262
#359762
#359612
#348982
C2×#24962
#342602
#341942
#341832
C4×#5542
C4×#5462