Finite Group Databasebeta

← #7689519

Subgroups — #7689519

Order 512.

5238 conjugacy classes of subgroups.

The subgroup lattice has 1753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59642C211yesmaximal, characteristic, complemented
2#59562C212yesmaximal, complemented
3#59520C214yesmaximal, complemented
4#59277C212yesmaximal, complemented
5#59218C211yesmaximal, characteristic, complemented
6#59217C211yesmaximal, characteristic, complemented
7#59138C212yesmaximal, complemented
8#59022C212yesmaximal, complemented
9#45406C212yesmaximal, complemented
10#45079C212yesmaximal, complemented
11#44436C214yesmaximal, complemented
12#43650C214yesmaximal, complemented
13#40006C212yesmaximal, complemented
14#39932C212yesmaximal, complemented
15#39377C211yesmaximal, characteristic, complemented
16#38933C211yesmaximal, characteristic, complemented
17#38300C214yesmaximal, complemented
18#38272C212yesmaximal, complemented
19#36555C212yesmaximal, complemented
20#36451C212yesmaximal, complemented
21#36404C211yesmaximal, characteristic, complemented
22#36272C211yesmaximal, characteristic, complemented
23#36194C211yesmaximal, characteristic, complemented
24#36190C212yesmaximal, complemented
25#36134C211yesmaximal, characteristic, complemented
26#36100C211yesmaximal, characteristic, complemented
27#35947C212yesmaximal, complemented
28#35770C212yesmaximal, complemented
29#34813C212yesmaximal, complemented
30#34800C211yesmaximal, characteristic, complemented
31#34316C211yesmaximal, characteristic, complemented
32#34285C212yesmaximal, complemented
33#34194C211yesmaximal, characteristic, complemented
34C4×#546C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#552C2212yescomplemented
37C2×#547C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×#542C2212yes—
40C2×#533C2212yescomplemented
41C2×#525C2212yes—
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2868C2211yescharacteristic, complemented
45#2864C2214yescomplemented
46#2859C2212yescomplemented
47#2857C2211yescharacteristic
48#2857C2212yescomplemented
49#2857C2211yescharacteristic, complemented
50#2855C2212yescomplemented
51#2848C2212yes—
52#2807C2214yescomplemented
53#2783C2214yescomplemented
54#2781C2214yescomplemented
55#2778C2214yes—
56#2771C2214yescomplemented
57#2766C2214yescomplemented
58#2761C2214yescomplemented
59#2756C2214yescomplemented
60#2740C2214yescomplemented
61#2738C2214yes—
62#2735C2214yes—
63#2718C2214yescomplemented
64#2706C2214yes—
65#2705C2214yescomplemented
66#2702C2214yescomplemented
67#2694C2214yescomplemented
68#2690C2214yescomplemented
69#2685C2214yes—
70#2681C2214yes—
71#2676C2214yes—
72#2674C2214yescomplemented
73#2653C2214yescomplemented
74#2649C2214yescomplemented
75#2647C2212yescomplemented
76#2628C2212yescomplemented
77#2611C2214yescomplemented
78#2601C2214yes—
79#2595C2214yes—
80#2589C2214yescomplemented
81#2587C2214yes—
82#2587C2214yescomplemented
83#2582C2212yescomplemented
84#2580C2212yes—
85#2576C2214yes—
86#2575C2214yescomplemented
87#2574C2214yes—
88#2573C2214yescomplemented
89#2571C2212yescomplemented
90#2570C2212yescomplemented
91#2569C2214yescomplemented
92#2568C2211yescharacteristic, complemented
93#2565C2212yescomplemented
94#2563C2212yes—
95#2562C2212yescomplemented
96#2560C2214yescomplemented
97#2559C2214yescomplemented
98#2553C2214yes—
99#2553C2214yescomplemented
100#2553C2214yescomplemented
101#2552C2211yescharacteristic, complemented
102#2552C2211yescharacteristic, complemented
103#2542C2211yescharacteristic
104#2542C2212yes—
105#2539C2214yes—
106#2538C2212yes—
107#2538C2212yes—
108#2538C2212yes—
109#2538C2211yescharacteristic, complemented
110#2537C2211yescharacteristic
111#2537C2212yes—
112#2532C2212yescomplemented
113#2530C2214yescomplemented
114#2528C2214yescomplemented
115#2526C2212yes—
116#2522C2214yes—
117#2522C2214yescomplemented
118#2518C2212yescomplemented
119#2517C2214yescomplemented
120#2514C2212yescomplemented
121#2513C2211yescharacteristic, complemented
122#2512C2212yescomplemented
123#2508C2211yescharacteristic, complemented
124#2505C2214yescomplemented
125#2502C2212yescomplemented
126#2501C2212yescomplemented
127#2500C2211yescharacteristic, complemented
128#2497C2212yes—
129#2497C2211yescharacteristic
130#2497C2212yes—
131#2497C2212yescomplemented
132#2497C2212yescomplemented
133#2496C2212yescomplemented
134#2496C2212yescomplemented
135#2496C2212yescomplemented
136#2494C2212yes—
137#2492C2212yes—
138#2492C2212yescomplemented
139#2492C2212yescomplemented
140#2491C2211yescharacteristic
141#2491C2212yescomplemented
142#2490C2212yes—
143#2490C2212yescomplemented
144#2489C2212yes—
145#2489C2212yescomplemented
146#2488C2214yescomplemented
147#2488C2214yescomplemented
148#2485C2212yes—
149#2485C2211yescharacteristic
150#2485C2212yescomplemented
151#2479C2214yescomplemented
152#2477C2214yes—
153#2476C2214yescomplemented
154#2472C2214yes—
155#2472C2214yes—
156#2471C2214yes—
157#2470C2214yescomplemented
158#2469C2214yescomplemented
159#2467C2214yes—
160#2459C2212yes—
161#2458C2214yescomplemented
162#2457C2214yescomplemented
163#2455C2214yes—
164#2454C2214yes—
165#2453C2214yescomplemented
166#2441C2212yescomplemented
167#2441C2212yescomplemented
168#2440C2212yescomplemented
169#2439C2212yes—
170#2439C2211yescharacteristic, complemented
171#2439C2212yescomplemented
172#2438C2214yescomplemented
173#2437C2214yes—
174#2429C2214yescomplemented
175#2425C2214yescomplemented
176#2423C2212yes—
177#2423C2212yes—
178#2423C2214yescomplemented
179#2423C2212yescomplemented
180#2423C2212yescomplemented
181#2422C2212yes—
182#2422C2212yes—
183#2422C2212yes—
184#2420C2212yes—
185#2418C2214yes—
186#2416C2212yescomplemented
187#2415C2212yes—
188#2415C2212yescomplemented
189#2415C2212yescomplemented
190#2414C2211yescharacteristic
191#2411C2214yes—
192#2408C2212yes—
193#2407C2212yes—
194#2407C2212yes—
195#2407C2212yescomplemented
196#2398C2214yes—
197#2398C2212yescomplemented
198#2398C2214yescomplemented
199#2392C2212yes—
200#2374C2214yescomplemented
201#2374C2214yescomplemented
202#2370C2212yescomplemented
203#2369C2212yescomplemented
204#2368C2214yescomplemented
205#2367C2212yes—
206#2367C2211yescharacteristic
207#2365C2211yescharacteristic, complemented
208#2365C2212yescomplemented
209#2364C2212yes—
210#2363C2212yes—
211#2363C2212yes—
212#2363C2211yescharacteristic
213#2362C2214yescomplemented
214#2362C2212yescomplemented
215#2362C2212yescomplemented
216#2361C2212yes—
217#2360C2211yescharacteristic
218#2360C2212yescomplemented
219#2360C2212yescomplemented
220#2360C2212yescomplemented
221#2359C2212yes—
222#2359C2214yescomplemented
223#2358C2212yes—
224#2355C2212yescomplemented
225#2354C2211yescharacteristic
226#2354C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2212yes—
229#2354C2212yescomplemented
230#2354C2211yescharacteristic, complemented
231#2354C2212yescomplemented
232#2352C2212yes—
233#2352C2212yes—
234#2352C2211yescharacteristic
235#2352C2212yescomplemented
236Q8×C4⋊C4C2211yescharacteristic, complemented
237Q8×C4⋊C4C2212yescomplemented
238Q8×C4⋊C4C2211yescharacteristic, complemented
239#2349C2211yescharacteristic
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243#2346C2212yescomplemented
244#2346C2214yescomplemented
245#2345C2212yes—
246#2345C2212yescomplemented
247#2345C2212yescomplemented
248#2342C2214yes—
249#2342C2212yes—
250#2342C2214yes—
251#2341C2212yes—
252#2341C2212yescomplemented
253#2339C2211yescharacteristic
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2211yescharacteristic
256#2337C2214yescomplemented
257#2335C2214yescomplemented
258#2334C2214yescomplemented
259#2324C2212yes—
260#2320C2212yescomplemented
261#2319C2212yes—
262#2318C2214yes—
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#126C2214yescomplemented
266C4×#124C2211yescharacteristic
267C4×#124C2214yes—
268C4×#124C2212yes—
269C4×#124C2214yescomplemented
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yescomplemented
272C4×#123C2212yes—
273C4×#121C2212yes—
274C4×#121C2211yescharacteristic
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic, complemented
277C4×#120C2212yes—
278#2298C2212yescomplemented
279#2297C2212yescomplemented
280#2297C2212yescomplemented
281#2293C2212yes—
282#2293C2212yes—
283#2293C2211yescharacteristic, complemented
284#2293C2214yescomplemented
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic, complemented
287#2285C2212yescomplemented
288#2283C2211yescharacteristic
289#2280C2212yes—
290C2×#380C2212yes—
291#2275C2212yes—
292#2274C2212yescomplemented
293C42×Q8C2212yescomplemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#552—48no—
304#547—28no—
305#546—28no—
306#542—216no—
307#533—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#124C2314yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322#525—48no—
323C2×#123C2314yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2314yes—
348C2×#120C2312yes—
349C2×#120C2314yes—
350C4×#41—28no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2314yes—
360C2×C4×D4—28no—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2312yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C22⋊C4C2312yes—
401C22×C22⋊C4C2312yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2314yes—
404C22×C42C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2312yes—
408#401C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#395C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2312yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2312yes—
483#392C2312yes—
484#392C2314yes—
485#392C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2312yes—
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2314yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#383C2314yes—
689#383C2312yes—
690#382C2314yes—
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2312yes—
700#382C2311yescharacteristic
701#381C2312yes—
702#381C2314yes—
703#381C2314yes—
704#381C2312yes—
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#379C2314yes—
736#379C2312yes—
737#379C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C43C2314yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—42no—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C23×C4—28no—
844C23×C4—44no—
845C23×C4—44no—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C4⋊Q8—24no—
866C4⋊Q8—28no—
867C4⋊Q8—24no—
868C4⋊Q8—44no—
869C4⋊Q8—82no—
870#126—216no—
871#126—48no—
872#126—84no—
873#125—28no—
874#125—44no—
875#125—48no—
876#124—216no—
877#124—28no—
878#124#4118yescomplemented
879#123—216no—
880#123—28no—
881#123—216no—
882#123—48no—
883#123—48no—
884#123—84no—
885C22⋊Q8—28no—
886C22⋊Q8—24no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—216no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—84no—
896#121—28no—
897#121—24no—
898#121—28no—
899#121—24no—
900#121—28no—
901#121—42no—
902#121—44no—
903#121—84no—
904#120—28no—
905#120—48no—
906C4×Q8—28no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—44no—
910C4×Q8—48no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—48no—
914C4×Q8—44no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—48no—
929C4×D4—44no—
930C4×D4—42no—
931C4×D4—48no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4#4118yes—
937#117—24no—
938#117—28no—
939#117—24no—
940#117—28no—
941#117—28no—
942#117—48no—
943#117—44no—
944#117—42no—
945#117—44no—
946#117—44no—
947#117—84no—
948#117—82no—
949#117—82no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—28no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C22⋊C4—28no—
1019C2×C22⋊C4—28no—
1020C2×C22⋊C4—28no—
1021C2×C22⋊C4—84no—
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⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C42—28no—
1085C2×C42—24no—
1086C2×C42—24no—
1087C2×C42—44no—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2414yes—
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190C24—24no—
1191C24—24no—
1192C24—24no—
1193C24—42no—
1194C24—42no—
1195C24—42no—
1196C24—42no—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199C24C2512yes—
1200C24C2512yes—
1201C24C2511yescharacteristic
1202#41—416no—
1203#41—816no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—28no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—42no—
1213C2×Q8—44no—
1214C2×Q8—44no—
1215C2×Q8C2×#4114yes—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—28no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—41no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—416no—
1248C2×D4C2×#4114yes—
1249C2×D4C2×#4114yes—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—28no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—41no—
1286C22×C4—42no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—816no—
1307C22×C4C2×#4118yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2514yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2514yes—
1326C22×C4C2514yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—41no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4C2×#4114yes—
1401C4⋊C4H(5,𝔽2)14yes—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—22no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—22no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—22no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—41no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—41no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4C2×#4118yes—
1461C22⋊C4C2×#4118yes—
1462C22⋊C4C2×#4118yes—
1463C22⋊C42−1+414yes—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—24no—
1471C42—22no—
1472C42—24no—
1473C42—24no—
1474C42—28no—
1475C42—22no—
1476C42—24no—
1477C42—24no—
1478C42—28no—
1479C42—22no—
1480C42—24no—
1481C42—24no—
1482C42—22no—
1483C42—24no—
1484C42—22no—
1485C42—42no—
1486C42—42no—
1487C42—44no—
1488C42—42no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—44no—
1493C42—42no—
1494C42—44no—
1495C42—44no—
1496C42—44no—
1497C42—41no—
1498C42C2×#4114yes—
1499C42C2×#4114yes—
1500C23—21no—
1501C23—22no—
1502C23—22no—
1503C23—21no—
1504C23—22no—
1505C23—22no—
1506C23—21no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—21no—
1514C23—22no—
1515C23—22no—
1516C23—21no—
1517C23—22no—
1518C23—22no—
1519C23—21no—
1520C23—22no—
1521C23—21no—
1522C23—21no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—22no—
1527C23—21no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—48no—
1533C23—48no—
1534C23—48no—
1535C23—84no—
1536C23—84no—
1537C23—84no—
1538C23—84no—
1539C23C22×#4114yes—
1540C23C22×#4114yes—
1541C23C2×2−1+412yes—
1542C23C2611yescharacteristic
1543Q8—28no—
1544Q8—48no—
1545Q8—48no—
1546Q8—88no—
1547D4—28no—
1548D4—28no—
1549D4—48no—
1550D4—44no—
1551D4—48no—
1552D4—48no—
1553D4—44no—
1554D4—84no—
1555D4—88no—
1556D4—88no—
1557D4—84no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—216no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—24no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—44no—
1636C2×C4—48no—
1637C2×C4—44no—
1638C2×C4—48no—
1639C2×C4—48no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—84no—
1646C2×C4—84no—
1647C2×C4—84no—
1648C2×C4—84no—
1649C2×C4—88no—
1650C2×C4—88no—
1651C2×C4—84no—
1652C2×C4—164no—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4114yes—
1655C2×C4C22×#4114yes—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4112yes—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4112yes—
1661C2×C4C2×H(5,𝔽2)14yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×2−1+412yes—
1664C2×C4C2×2−1+412yes—
1665C2×C4#58512yes—
1666C2×C4#58512yes—
1667C22—24no—
1668C22—22no—
1669C22—24no—
1670C22—22no—
1671C22—24no—
1672C22—22no—
1673C22—24no—
1674C22—24no—
1675C22—24no—
1676C22—42no—
1677C22—41no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—41no—
1687C22—41no—
1688C22—42no—
1689C22—41no—
1690C22—41no—
1691C22—42no—
1692C22—42no—
1693C22—41no—
1694C22—41no—
1695C22—42no—
1696C22—41no—
1697C22—42no—
1698C22—41no—
1699C22—42no—
1700C22—41no—
1701C22—42no—
1702C22—816no—
1703C22C23×#4111yescharacteristic
1704C22C23×#4111yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C22×2−1+411yescharacteristic
1707C22C2×#58511yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22H(7,𝔽2)11yescharacteristic
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—24no—
1715C4—24no—
1716C4—22no—
1717C4—24no—
1718C4—42no—
1719C4—42no—
1720C4—44no—
1721C4—44no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—41no—
1727C4—42no—
1728C4—41no—
1729C4—44no—
1730C4—42no—
1731C4—41no—
1732C4—42no—
1733C4—44no—
1734C4—42no—
1735C4—42no—
1736C4—41no—
1737C4—41no—
1738C4#347514yes—
1739C4#351414yes—
1740C2—44no—
1741C2—44no—
1742C2—42no—
1743C2—81no—
1744C2—82no—
1745C2C2×#347511yescharacteristic
1746C2C2×#351411yescharacteristic
1747C2#6280511yescharacteristic
1748C2#6293711yescharacteristic
1749C2#6298611yescharacteristic
1750C2#6300011yescharacteristic
1751C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59642C2semidirect
2. #59562C2semidirect
3. #59520C2semidirect
4. #59277C2semidirect
5. #59218C2semidirect
6. #59217C2semidirect
7. #59138C2semidirect
8. #59022C2semidirect
9. #45406C2semidirect
10. #45079C2semidirect
11. #44436C2semidirect
12. #43650C2semidirect
13. #40006C2semidirect
14. #39932C2semidirect
15. #39377C2semidirect
16. #38933C2semidirect
17. #38300C2semidirect
18. #38272C2semidirect
19. #36555C2semidirect
20. #36451C2semidirect
21. #36404C2semidirect
22. #36272C2semidirect
23. #36194C2semidirect
24. #36190C2semidirect
25. #36134C2semidirect
26. #36100C2semidirect
27. #35947C2semidirect
28. #35770C2semidirect
29. #34813C2semidirect
30. #34800C2semidirect
31. #34316C2semidirect
32. #34285C2semidirect
33. #34194C2semidirect
34. C4×#546C2semidirect
35. #34129C2semidirect
36. C2×#552C22semidirect
40. C2×#533C22semidirect
44. #2868C22semidirect
45. #2864C22semidirect
46. #2859C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2855C22semidirect
52. #2807C22semidirect
53. #2783C22semidirect
54. #2781C22semidirect
56. #2771C22semidirect
57. #2766C22semidirect
58. #2761C22semidirect
59. #2756C22semidirect
60. #2740C22semidirect
63. #2718C22semidirect
65. #2705C22semidirect
66. #2702C22semidirect
67. #2694C22semidirect
68. #2690C22semidirect
72. #2674C22semidirect
73. #2653C22semidirect
74. #2649C22semidirect
75. #2647C22semidirect
76. #2628C22semidirect
77. #2611C22semidirect
80. #2589C22semidirect
82. #2587C22semidirect
83. #2582C22semidirect
86. #2575C22semidirect
88. #2573C22semidirect
89. #2571C22semidirect
90. #2570C22semidirect
91. #2569C22semidirect
92. #2568C22semidirect
93. #2565C22semidirect
95. #2562C22semidirect
96. #2560C22semidirect
97. #2559C22semidirect
99. #2553C22semidirect
100. #2553C22semidirect
101. #2552C22semidirect
102. #2552C22semidirect
109. #2538C22semidirect
112. #2532C22semidirect
113. #2530C22semidirect
114. #2528C22semidirect
117. #2522C22semidirect
118. #2518C22semidirect
119. #2517C22semidirect
120. #2514C22semidirect
121. #2513C22semidirect
122. #2512C22semidirect
123. #2508C22semidirect
124. #2505C22semidirect
125. #2502C22semidirect
126. #2501C22semidirect
127. #2500C22semidirect
131. #2497C22semidirect
132. #2497C22semidirect
133. #2496C22semidirect
134. #2496C22semidirect
135. #2496C22semidirect
138. #2492C22semidirect
139. #2492C22semidirect
141. #2491C22semidirect
143. #2490C22semidirect
145. #2489C22semidirect
146. #2488C22semidirect
147. #2488C22semidirect
150. #2485C22semidirect
151. #2479C22semidirect
153. #2476C22semidirect
157. #2470C22semidirect
158. #2469C22semidirect
161. #2458C22semidirect
162. #2457C22semidirect
165. #2453C22semidirect
166. #2441C22semidirect
167. #2441C22semidirect
168. #2440C22semidirect
170. #2439C22semidirect
171. #2439C22semidirect
172. #2438C22semidirect
174. #2429C22semidirect
175. #2425C22semidirect
178. #2423C22semidirect
179. #2423C22semidirect
180. #2423C22semidirect
186. #2416C22semidirect
188. #2415C22semidirect
189. #2415C22semidirect
195. #2407C22semidirect
197. #2398C22semidirect
198. #2398C22semidirect
200. #2374C22semidirect
201. #2374C22semidirect
202. #2370C22semidirect
203. #2369C22semidirect
204. #2368C22semidirect
207. #2365C22semidirect
208. #2365C22semidirect
213. #2362C22semidirect
214. #2362C22semidirect
215. #2362C22semidirect
218. #2360C22semidirect
219. #2360C22semidirect
220. #2360C22semidirect
222. #2359C22semidirect
224. #2355C22semidirect
229. #2354C22semidirect
230. #2354C22semidirect
231. #2354C22semidirect
235. #2352C22semidirect
236. Q8×C4⋊C4C22semidirect
237. Q8×C4⋊C4C22semidirect
238. Q8×C4⋊C4C22semidirect
243. #2346C22semidirect
244. #2346C22semidirect
246. #2345C22semidirect
247. #2345C22semidirect
252. #2341C22semidirect
256. #2337C22semidirect
257. #2335C22semidirect
258. #2334C22semidirect
260. #2320C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×#126C22semidirect
269. C4×#124C22semidirect
271. C4×C22⋊Q8C22semidirect
276. C4×#121C22semidirect
278. #2298C22semidirect
279. #2297C22semidirect
280. #2297C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
286. #2285C22semidirect
287. #2285C22semidirect
292. #2274C22semidirect
293. C42×Q8C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
878. #124#41semidirect

Maximal subgroups

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

subgroupindex
#596422
#595622
#595202
#592772
#592182
#592172
#591382
#590222
#454062
#450792
#444362
#436502
#400062
#399322
#393772
#389332
#383002
#382722
#365552
#364512
#364042
#362722
#361942
#361902
#361342
#361002
#359472
#357702
#348132
#348002
#343162
#342852
#341942
C4×#5462
#341292