Finite Group Databasebeta

← #7688358

Subgroups — #7688358

Order 512.

5359 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59953C212yesmaximal, complemented
2#59862C212yesmaximal, complemented
3#59812C212yesmaximal, complemented
4#59488C212yesmaximal, complemented
5#59450C211yesmaximal, characteristic, complemented
6#59212C212yesmaximal, complemented
7#59208C212yesmaximal, complemented
8#59079C211yesmaximal, characteristic, complemented
9#59035C211yesmaximal, characteristic, complemented
10#44168C214yesmaximal, complemented
11#43793C214yesmaximal, complemented
12#43593C214yesmaximal, complemented
13#40194C212yesmaximal, complemented
14#40056C212yesmaximal, complemented
15#40008C212yesmaximal, complemented
16#39960C212yesmaximal, complemented
17#39792C212yesmaximal, complemented
18#39226C212yesmaximal, complemented
19#36587C211yesmaximal, characteristic, complemented
20#36544C211yesmaximal, characteristic, complemented
21#36401C212yesmaximal, complemented
22#36301C211yesmaximal, characteristic, complemented
23#36300C211yesmaximal, characteristic, complemented
24#36289C211yesmaximal, characteristic, complemented
25#36258C211yesmaximal, characteristic, complemented
26#36202C212yesmaximal, complemented
27#36150C211yesmaximal, characteristic, complemented
28#35967C214yesmaximal, complemented
29#34955C211yesmaximal, characteristic, complemented
30#34947C211yesmaximal, characteristic, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34320C212yesmaximal, complemented
33#34320C212yesmaximal, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#533C2211yescharacteristic, complemented
43C2×#532C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic, complemented
46#2864C2212yescomplemented
47#2860C2212yescomplemented
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic, complemented
50#2856C2211yescharacteristic
51#2854C2212yes—
52#2851C2212yescomplemented
53#2850C2212yes—
54#2850C2212yescomplemented
55#2796C2214yescomplemented
56#2783C2214yescomplemented
57#2781C2214yescomplemented
58#2781C2214yescomplemented
59#2778C2214yescomplemented
60#2778C2214yescomplemented
61#2773C2214yescomplemented
62#2771C2214yescomplemented
63#2757C2214yescomplemented
64#2751C2214yescomplemented
65#2749C2214yescomplemented
66#2746C2214yescomplemented
67#2745C2214yescomplemented
68#2735C2214yescomplemented
69#2728C2214yescomplemented
70#2708C2214yescomplemented
71#2688C2214yescomplemented
72#2686C2214yescomplemented
73#2684C2214yescomplemented
74#2668C2214yes—
75#2668C2214yescomplemented
76#2663C2214yescomplemented
77#2653C2214yescomplemented
78#2652C2214yescomplemented
79#2609C2214yescomplemented
80#2603C2214yescomplemented
81#2602C2214yescomplemented
82#2597C2214yescomplemented
83#2597C2214yescomplemented
84#2595C2214yescomplemented
85#2595C2214yescomplemented
86#2592C2212yescomplemented
87#2592C2212yescomplemented
88#2591C2214yescomplemented
89#2584C2212yescomplemented
90#2580C2212yes—
91#2578C2214yescomplemented
92#2578C2214yescomplemented
93#2577C2214yescomplemented
94#2576C2214yescomplemented
95#2575C2214yescomplemented
96#2574C2214yescomplemented
97#2573C2214yescomplemented
98#2571C2212yescomplemented
99#2571C2211yescharacteristic, complemented
100#2568C2211yescharacteristic, complemented
101#2568C2211yescharacteristic, complemented
102#2567C2211yescharacteristic, complemented
103#2566C2212yes—
104#2565C2212yescomplemented
105#2564C2214yescomplemented
106#2563C2211yescharacteristic
107#2561C2214yescomplemented
108#2553C2214yescomplemented
109#2548C2211yescharacteristic
110#2548C2211yescharacteristic
111#2547C2211yescharacteristic
112#2542C2211yescharacteristic
113#2540C2212yescomplemented
114#2538C2211yescharacteristic
115#2537C2212yes—
116#2535C2214yescomplemented
117#2534C2214yescomplemented
118#2531C2214yescomplemented
119#2527C2214yescomplemented
120#2526C2214yescomplemented
121#2525C2214yescomplemented
122#2521C2214yescomplemented
123#2516C2214yescomplemented
124#2514C2212yescomplemented
125#2513C2212yescomplemented
126#2513C2212yescomplemented
127#2513C2212yescomplemented
128#2512C2212yescomplemented
129#2511C2212yescomplemented
130#2504C2212yes—
131#2504C2212yescomplemented
132#2504C2212yescomplemented
133#2503C2212yescomplemented
134#2494C2212yescomplemented
135#2494C2212yescomplemented
136#2494C2214yescomplemented
137#2494C2212yescomplemented
138#2490C2212yes—
139#2490C2212yes—
140#2490C2212yescomplemented
141#2489C2212yescomplemented
142#2489C2212yescomplemented
143#2489C2212yescomplemented
144#2485C2212yescomplemented
145#2485C2214yescomplemented
146#2483C2214yescomplemented
147#2482C2214yescomplemented
148#2480C2214yescomplemented
149#2480C2214yescomplemented
150#2477C2214yescomplemented
151#2474C2214yescomplemented
152#2472C2214yes—
153#2472C2214yes—
154#2467C2214yescomplemented
155#2465C2214yescomplemented
156#2457C2214yescomplemented
157#2454C2212yescomplemented
158#2454C2212yescomplemented
159#2453C2212yescomplemented
160#2449C2214yescomplemented
161#2448C2212yescomplemented
162#2448C2212yescomplemented
163#2447C2212yes—
164#2447C2212yes—
165#2447C2212yescomplemented
166#2444C2214yescomplemented
167#2442C2212yescomplemented
168#2436C2212yescomplemented
169#2435C2212yes—
170#2435C2212yes—
171#2427C2212yes—
172#2427C2212yes—
173#2427C2212yescomplemented
174#2426C2212yes—
175#2426C2212yescomplemented
176#2426C2212yescomplemented
177#2424C2214yes—
178#2423C2212yescomplemented
179#2422C2212yes—
180#2421C2212yescomplemented
181#2421C2212yescomplemented
182#2421C2214yescomplemented
183#2420C2212yes—
184#2418C2214yes—
185#2417C2212yescomplemented
186#2417C2212yescomplemented
187#2416C2212yes—
188#2415C2212yescomplemented
189#2414C2212yes—
190#2414C2212yescomplemented
191#2411C2214yes—
192#2409C2212yescomplemented
193#2408C2212yes—
194#2408C2212yes—
195#2407C2212yes—
196#2407C2212yescomplemented
197#2401C2214yescomplemented
198#2398C2214yescomplemented
199#2396C2214yescomplemented
200#2374C2214yescomplemented
201#2374C2214yescomplemented
202#2374C2212yescomplemented
203#2373C2214yescomplemented
204#2373C2212yescomplemented
205#2370C2211yescharacteristic, complemented
206#2369C2211yescharacteristic, complemented
207#2367C2212yes—
208#2367C2211yescharacteristic
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2367C2212yescomplemented
212#2366C2211yescharacteristic
213#2364C2212yescomplemented
214#2363C2211yescharacteristic
215#2363C2214yescomplemented
216#2363C2212yescomplemented
217#2363C2214yescomplemented
218#2362C2211yescharacteristic, complemented
219#2362C2212yescomplemented
220#2361C2211yescharacteristic
221#2361C2211yescharacteristic
222#2361C2212yescomplemented
223#2361C2212yescomplemented
224#2360C2212yescomplemented
225#2360C2212yescomplemented
226#2358C2214yescomplemented
227#2358C2214yescomplemented
228#2357C2212yes—
229#2357C2211yescharacteristic
230#2357C2212yescomplemented
231#2355C2211yescharacteristic, complemented
232#2354C2212yescomplemented
233#2353C2212yescomplemented
234#2352C2212yescomplemented
235#2352C2212yescomplemented
236#2352C2211yescharacteristic, complemented
237#2352C2212yescomplemented
238#2352C2211yescharacteristic, complemented
239#2351C2211yescharacteristic, complemented
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yescomplemented
242#2347C2211yescharacteristic, complemented
243#2345C2211yescharacteristic, complemented
244#2344C2212yescomplemented
245#2342C2214yescomplemented
246#2342C2214yescomplemented
247#2341C2211yescharacteristic
248#2341C2212yescomplemented
249Q8×C22⋊C4C2211yescharacteristic, complemented
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254#2335C2214yescomplemented
255#2335C2214yescomplemented
256#2333C2214yescomplemented
257#2333C2214yescomplemented
258#2321C2214yescomplemented
259#2321C2214yescomplemented
260C4×C4⋊Q8C2211yescharacteristic, complemented
261C4×#125C2211yescharacteristic, complemented
262C4×#126C2212yescomplemented
263C4×#124C2212yes—
264C4×#124C2211yescharacteristic
265C4×#124C2212yescomplemented
266C4×#124C2212yescomplemented
267C4×#124C2212yescomplemented
268C4×C22⋊Q8C2212yescomplemented
269C4×C22⋊Q8C2212yescomplemented
270C4×C22⋊Q8C2212yescomplemented
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×#123C2212yescomplemented
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281#2297C2212yes—
282#2297C2212yescomplemented
283#2297C2212yescomplemented
284#2295C2212yescomplemented
285#2293C2212yes—
286#2293C2212yescomplemented
287C2×#390C2212yes—
288C2×#390C2212yes—
289#2285C2212yescomplemented
290#2283C2212yescomplemented
291#2273C2214yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×D4C2211yescharacteristic
294C42×D4C2212yescomplemented
295C42×D4C2212yescomplemented
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304#554—44no—
305#553—28no—
306#548—28no—
307#546—216no—
308#546—216no—
309D42—44no—
310#533—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C4×#41—44no—
359C2×C4×Q8—44no—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2314yes—
403C2×#117C2314yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2311yescharacteristic
410C22×C22⋊C4C2314yes—
411C22×C22⋊C4C2314yes—
412C22×C22⋊C4C2314yes—
413C22×C22⋊C4C2314yes—
414C22×C22⋊C4C2314yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2312yes—
418C22×C42C2312yes—
419C22×C42C2312yes—
420C22×C42C2312yes—
421#401C2314yes—
422#401C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
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#395C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2314yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#383C2312yes—
694#383C2314yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2314yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2314yes—
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2314yes—
737#379C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2314yes—
815#376C2312yes—
816C2×#95C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2312yes—
820C25C2414yes—
821C2×#41—28no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41#4118yescomplemented
827C22×Q8—24no—
828C22×Q8—42no—
829C22×Q8—42no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×D4—28no—
836C22×D4—28no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C4⋊Q8—24no—
876C4⋊Q8—24no—
877#127—24no—
878#126—28no—
879#126—48no—
880#125—24no—
881#125—44no—
882#125—44no—
883#124—28no—
884#124—28no—
885#124—24no—
886#124—28no—
887#124—44no—
888#124—44no—
889#124—44no—
890#124—82no—
891#123—28no—
892#123—216no—
893#123—216no—
894C22⋊Q8—28no—
895C22⋊Q8—24no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—82no—
904#121—216no—
905#121—216no—
906#121—24no—
907#121—28no—
908#121—28no—
909#121—24no—
910#121—28no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—82no—
917#121#4118yescomplemented
918#120—216no—
919#120—216no—
920#120—48no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—24no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—42no—
927C4×Q8—42no—
928C4×Q8—42no—
929C4×Q8—44no—
930C4×Q8—42no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—42no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—42no—
948C4×D4—42no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—84no—
957C4×D4—84no—
958#117—24no—
959#117—44no—
960#117—42no—
961#117—42no—
962#117—44no—
963#117—84no—
964#117—84no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—42no—
968C2×C4⋊C4—42no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C22⋊C4—216no—
1027C2×C22⋊C4—216no—
1028C2×C22⋊C4—48no—
1029C2×C22⋊C4—84no—
1030C2×C22⋊C4—84no—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—44no—
1099C2×C42—44no—
1100C2×C42—44no—
1101C2×C42—44no—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2411yescharacteristic
1167#95C2412yes—
1168#95C2412yes—
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24—28no—
1206C24—28no—
1207C24—44no—
1208C24—44no—
1209C24—44no—
1210C24—44no—
1211C24—44no—
1212C24C2514yes—
1213C24C2512yes—
1214C24C2512yes—
1215C24C2511yescharacteristic
1216C24C2511yescharacteristic
1217#41—416no—
1218#41—816no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—22no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—416no—
1234C2×Q8C2×#4114yes—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—41no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—816no—
1274C2×D4—816no—
1275C2×D4C2×#4114yes—
1276C2×D4C2×#4114yes—
1277C2×D4C2×#4118yes—
1278C2×D4C2×#4118yes—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—28no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—42no—
1322C22×C4—44no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4C2×#4114yes—
1337C22×C4C2×#4114yes—
1338C22×C4C2×#4118yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2514yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—41no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4C2×#4114yes—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—28no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4C2×#4118yes—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—22no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—24no—
1503C42—22no—
1504C42—24no—
1505C42—24no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—42no—
1514C42—42no—
1515C42—42no—
1516C42—42no—
1517C42—42no—
1518C42—44no—
1519C42—42no—
1520C42—44no—
1521C42—42no—
1522C42—42no—
1523C42—44no—
1524C42—42no—
1525C42—44no—
1526C42—41no—
1527C42H(5,𝔽2)14yes—
1528C23—22no—
1529C23—22no—
1530C23—21no—
1531C23—21no—
1532C23—22no—
1533C23—22no—
1534C23—21no—
1535C23—21no—
1536C23—22no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—22no—
1541C23—21no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—21no—
1549C23—22no—
1550C23—22no—
1551C23—21no—
1552C23—24no—
1553C23—24no—
1554C23—24no—
1555C23—24no—
1556C23—24no—
1557C23—24no—
1558C23—24no—
1559C23—416no—
1560C23—88no—
1561C23—88no—
1562C23—88no—
1563C23—88no—
1564C23—164no—
1565C23—164no—
1566C23C22×#4114yes—
1567C23C22×#4114yes—
1568C23C22×#4112yes—
1569C23C22×#4112yes—
1570C23C2611yescharacteristic
1571Q8—28no—
1572Q8—48no—
1573Q8—44no—
1574Q8—48no—
1575Q8—84no—
1576D4—28no—
1577D4—28no—
1578D4—48no—
1579D4—48no—
1580D4—44no—
1581D4—48no—
1582D4—48no—
1583D4—48no—
1584D4—48no—
1585D4—84no—
1586D4—88no—
1587D4—88no—
1588D4—88no—
1589D4—88no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—28no—
1603C2×C4—28no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—21no—
1670C2×C4—48no—
1671C2×C4—48no—
1672C2×C4—48no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—48no—
1676C2×C4—84no—
1677C2×C4—88no—
1678C2×C4—84no—
1679C2×C4—82no—
1680C2×C4—82no—
1681C2×C4—88no—
1682C2×C4—84no—
1683C2×C4—88no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—84no—
1687C2×C4—164no—
1688C2×C4C22×#4112yes—
1689C2×C4C22×#4114yes—
1690C2×C4C22×#4112yes—
1691C2×C4C22×#4114yes—
1692C2×C4C22×#4112yes—
1693C2×C4C22×#4112yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4#58512yes—
1698C2×C4#58512yes—
1699C2×C4#58512yes—
1700C22—24no—
1701C22—22no—
1702C22—24no—
1703C22—22no—
1704C22—22no—
1705C22—24no—
1706C22—22no—
1707C22—24no—
1708C22—22no—
1709C22—22no—
1710C22—24no—
1711C22—24no—
1712C22—41no—
1713C22—42no—
1714C22—41no—
1715C22—42no—
1716C22—41no—
1717C22—42no—
1718C22—41no—
1719C22—42no—
1720C22—41no—
1721C22—42no—
1722C22—41no—
1723C22—42no—
1724C22—41no—
1725C22—41no—
1726C22—42no—
1727C22—42no—
1728C22—44no—
1729C22—44no—
1730C22—44no—
1731C22—44no—
1732C22—44no—
1733C22—44no—
1734C22—44no—
1735C22—1616no—
1736C22C23×#4111yescharacteristic
1737C22C23×#4111yescharacteristic
1738C22C22×H(5,𝔽2)11yescharacteristic
1739C22C2×#58511yescharacteristic
1740C22C2×#58511yescharacteristic
1741C22C2×#58511yescharacteristic
1742C22H(7,𝔽2)11yescharacteristic
1743C4—24no—
1744C4—22no—
1745C4—24no—
1746C4—22no—
1747C4—22no—
1748C4—22no—
1749C4—42no—
1750C4—42no—
1751C4—41no—
1752C4—41no—
1753C4—42no—
1754C4—44no—
1755C4—42no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—42no—
1762C4—44no—
1763C4—41no—
1764C4—42no—
1765C4—41no—
1766C4—42no—
1767C4—44no—
1768C4—42no—
1769C4—42no—
1770C4—41no—
1771C4#350514yes—
1772C4#351414yes—
1773C2—42no—
1774C2—42no—
1775C2—44no—
1776C2—44no—
1777C2—84no—
1778C2#41211yescharacteristic
1779C2C2×#350511yescharacteristic
1780C2C2×#351411yescharacteristic
1781C2#6295511yescharacteristic
1782C2#6299211yescharacteristic
1783C2#6301011yescharacteristic
1784C2#6302911yescharacteristic
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. #59953C2semidirect
2. #59862C2semidirect
3. #59812C2semidirect
4. #59488C2semidirect
5. #59450C2semidirect
6. #59212C2semidirect
7. #59208C2semidirect
8. #59079C2semidirect
9. #59035C2semidirect
10. #44168C2semidirect
11. #43793C2semidirect
12. #43593C2semidirect
13. #40194C2semidirect
14. #40056C2semidirect
15. #40008C2semidirect
16. #39960C2semidirect
17. #39792C2semidirect
18. #39226C2semidirect
19. #36587C2semidirect
20. #36544C2semidirect
21. #36401C2semidirect
22. #36301C2semidirect
23. #36300C2semidirect
24. #36289C2semidirect
25. #36258C2semidirect
26. #36202C2semidirect
27. #36150C2semidirect
28. #35967C2semidirect
29. #34955C2semidirect
30. #34947C2semidirect
31. #34945C2semidirect
32. #34320C2semidirect
33. #34320C2semidirect
34. C4×#553C2semidirect
35. C4×#548C2semidirect
42. C2×#533C22semidirect
45. C22×C4×Q8C22semidirect
46. #2864C22semidirect
47. #2860C22semidirect
49. #2857C22semidirect
52. #2851C22semidirect
54. #2850C22semidirect
55. #2796C22semidirect
56. #2783C22semidirect
57. #2781C22semidirect
58. #2781C22semidirect
59. #2778C22semidirect
60. #2778C22semidirect
61. #2773C22semidirect
62. #2771C22semidirect
63. #2757C22semidirect
64. #2751C22semidirect
65. #2749C22semidirect
66. #2746C22semidirect
67. #2745C22semidirect
68. #2735C22semidirect
69. #2728C22semidirect
70. #2708C22semidirect
71. #2688C22semidirect
72. #2686C22semidirect
73. #2684C22semidirect
75. #2668C22semidirect
76. #2663C22semidirect
77. #2653C22semidirect
78. #2652C22semidirect
79. #2609C22semidirect
80. #2603C22semidirect
81. #2602C22semidirect
82. #2597C22semidirect
83. #2597C22semidirect
84. #2595C22semidirect
85. #2595C22semidirect
86. #2592C22semidirect
87. #2592C22semidirect
88. #2591C22semidirect
89. #2584C22semidirect
91. #2578C22semidirect
92. #2578C22semidirect
93. #2577C22semidirect
94. #2576C22semidirect
95. #2575C22semidirect
96. #2574C22semidirect
97. #2573C22semidirect
98. #2571C22semidirect
99. #2571C22semidirect
100. #2568C22semidirect
101. #2568C22semidirect
102. #2567C22semidirect
104. #2565C22semidirect
105. #2564C22semidirect
107. #2561C22semidirect
108. #2553C22semidirect
113. #2540C22semidirect
116. #2535C22semidirect
117. #2534C22semidirect
118. #2531C22semidirect
119. #2527C22semidirect
120. #2526C22semidirect
121. #2525C22semidirect
122. #2521C22semidirect
123. #2516C22semidirect
124. #2514C22semidirect
125. #2513C22semidirect
126. #2513C22semidirect
127. #2513C22semidirect
128. #2512C22semidirect
129. #2511C22semidirect
131. #2504C22semidirect
132. #2504C22semidirect
133. #2503C22semidirect
134. #2494C22semidirect
135. #2494C22semidirect
136. #2494C22semidirect
137. #2494C22semidirect
140. #2490C22semidirect
141. #2489C22semidirect
142. #2489C22semidirect
143. #2489C22semidirect
144. #2485C22semidirect
145. #2485C22semidirect
146. #2483C22semidirect
147. #2482C22semidirect
148. #2480C22semidirect
149. #2480C22semidirect
150. #2477C22semidirect
151. #2474C22semidirect
154. #2467C22semidirect
155. #2465C22semidirect
156. #2457C22semidirect
157. #2454C22semidirect
158. #2454C22semidirect
159. #2453C22semidirect
160. #2449C22semidirect
161. #2448C22semidirect
162. #2448C22semidirect
165. #2447C22semidirect
166. #2444C22semidirect
167. #2442C22semidirect
168. #2436C22semidirect
173. #2427C22semidirect
175. #2426C22semidirect
176. #2426C22semidirect
178. #2423C22semidirect
180. #2421C22semidirect
181. #2421C22semidirect
182. #2421C22semidirect
185. #2417C22semidirect
186. #2417C22semidirect
188. #2415C22semidirect
190. #2414C22semidirect
192. #2409C22semidirect
196. #2407C22semidirect
197. #2401C22semidirect
198. #2398C22semidirect
199. #2396C22semidirect
200. #2374C22semidirect
201. #2374C22semidirect
202. #2374C22semidirect
203. #2373C22semidirect
204. #2373C22semidirect
205. #2370C22semidirect
206. #2369C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
213. #2364C22semidirect
215. #2363C22semidirect
216. #2363C22semidirect
217. #2363C22semidirect
218. #2362C22semidirect
219. #2362C22semidirect
222. #2361C22semidirect
223. #2361C22semidirect
224. #2360C22semidirect
225. #2360C22semidirect
226. #2358C22semidirect
227. #2358C22semidirect
230. #2357C22semidirect
231. #2355C22semidirect
232. #2354C22semidirect
233. #2353C22semidirect
234. #2352C22semidirect
235. #2352C22semidirect
236. #2352C22semidirect
237. #2352C22semidirect
238. #2352C22semidirect
239. #2351C22semidirect
241. D4×C4⋊C4C22semidirect
242. #2347C22semidirect
243. #2345C22semidirect
244. #2344C22semidirect
245. #2342C22semidirect
246. #2342C22semidirect
248. #2341C22semidirect
249. Q8×C22⋊C4C22semidirect
254. #2335C22semidirect
255. #2335C22semidirect
256. #2333C22semidirect
257. #2333C22semidirect
258. #2321C22semidirect
259. #2321C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×#125C22semidirect
262. C4×#126C22semidirect
265. C4×#124C22semidirect
266. C4×#124C22semidirect
267. C4×#124C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×#123C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
282. #2297C22semidirect
283. #2297C22semidirect
284. #2295C22semidirect
286. #2293C22semidirect
289. #2285C22semidirect
290. #2283C22semidirect
291. #2273C22semidirect
292. C42×Q8C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
826. C2×#41#41semidirect
917. #121#41semidirect

Maximal subgroups

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

subgroupindex
#599532
#598622
#598122
#594882
#594502
#592122
#592082
#590792
#590352
#441682
#437932
#435932
#401942
#400562
#400082
#399602
#397922
#392262
#365872
#365442
#364012
#363012
#363002
#362892
#362582
#362022
#361502
#359672
#349552
#349472
#349452
#343202
C4×#5532
C4×#5482