Finite Group Databasebeta

← #7657699

Subgroups — #7657699

Order 512.

5393 conjugacy classes of subgroups.

The subgroup lattice has 1827 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42982C212yesmaximal, complemented
2#42974C212yesmaximal, complemented
3#42472C212yesmaximal, complemented
4#42471C212yesmaximal, complemented
5#42233C214yesmaximal, complemented
6#42073C214yesmaximal, complemented
7#40941C214yesmaximal, complemented
8#40926C214yesmaximal, complemented
9#39438C212yesmaximal, complemented
10#39434C212yesmaximal, complemented
11#39352C211yesmaximal, characteristic, complemented
12#39351C211yesmaximal, characteristic, complemented
13#39148C211yesmaximal, characteristic, complemented
14#39147C211yesmaximal, characteristic, complemented
15#38254C212yesmaximal, complemented
16#38250C212yesmaximal, complemented
17#37624C211yesmaximal, characteristic, complemented
18#37614C211yesmaximal, characteristic, complemented
19#37591C212yesmaximal, complemented
20#37587C212yesmaximal, complemented
21#36596C211yesmaximal, characteristic, complemented
22#36587C211yesmaximal, characteristic, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36273C211yesmaximal, characteristic, complemented
25#36022C212yesmaximal, complemented
26#35830C212yesmaximal, complemented
27#35823C212yesmaximal, complemented
28#35813C212yesmaximal, complemented
29#35276C212yesmaximal, complemented
30#35272C211yesmaximal, characteristic, complemented
31#34621C212yesmaximal, complemented
32#34614C211yesmaximal, characteristic, complemented
33#34242C211yesmaximal, characteristic, complemented
34#34210C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#553C2212yescomplemented
38C2×#542C2212yescomplemented
39C2×#540C2212yescomplemented
40C2×#535C2212yes—
41C22×#127C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×#518C2212yes—
44C2×C4×#41C2211yescharacteristic
45#2861C2212yescomplemented
46#2858C2212yescomplemented
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2856C2212yescomplemented
52#2850C2212yescomplemented
53#2841C2214yes—
54#2830C2214yescomplemented
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2828C2214yescomplemented
58#2818C2214yes—
59#2797C2214yescomplemented
60#2796C2214yescomplemented
61#2786C2214yescomplemented
62#2757C2214yescomplemented
63#2749C2214yescomplemented
64#2735C2214yes—
65#2735C2214yes—
66#2730C2214yescomplemented
67#2723C2214yescomplemented
68#2710C2214yescomplemented
69#2709C2214yescomplemented
70#2706C2214yescomplemented
71#2701C2214yescomplemented
72#2700C2214yescomplemented
73#2697C2214yes—
74#2688C2214yescomplemented
75#2685C2214yes—
76#2684C2214yes—
77#2684C2214yes—
78#2678C2214yes—
79#2673C2214yescomplemented
80#2672C2214yescomplemented
81#2671C2214yescomplemented
82#2668C2214yes—
83#2666C2214yescomplemented
84#2662C2214yescomplemented
85#2661C2214yescomplemented
86#2660C2212yescomplemented
87#2657C2212yes—
88#2651C2214yescomplemented
89#2651C2214yescomplemented
90#2651C2214yescomplemented
91#2648C2214yescomplemented
92#2648C2214yescomplemented
93#2648C2214yescomplemented
94#2647C2212yescomplemented
95#2644C2212yescomplemented
96#2644C2212yescomplemented
97#2641C2212yes—
98#2638C2214yescomplemented
99#2637C2212yescomplemented
100#2636C2212yescomplemented
101#2635C2214yescomplemented
102#2630C2212yes—
103#2630C2212yes—
104#2630C2214yescomplemented
105#2630C2214yescomplemented
106#2629C2212yes—
107#2629C2211yescharacteristic, complemented
108#2629C2211yescharacteristic, complemented
109#2628C2212yes—
110#2625C2211yescharacteristic
111#2624C2211yescharacteristic
112#2624C2212yescomplemented
113#2624C2212yescomplemented
114#2620C2211yescharacteristic, complemented
115#2620C2211yescharacteristic, complemented
116#2619C2212yes—
117#2619C2212yes—
118#2619C2212yes—
119#2619C2212yes—
120#2616C2211yescharacteristic
121#2615C2211yescharacteristic
122#2613C2214yes—
123#2610C2214yescomplemented
124#2601C2214yescomplemented
125#2597C2214yescomplemented
126#2571C2211yescharacteristic, complemented
127#2570C2212yescomplemented
128#2566C2212yescomplemented
129#2557C2214yescomplemented
130#2557C2214yescomplemented
131#2555C2214yescomplemented
132#2555C2214yescomplemented
133#2555C2214yescomplemented
134#2554C2214yescomplemented
135#2554C2214yescomplemented
136#2554C2214yescomplemented
137#2552C2211yescharacteristic, complemented
138#2552C2211yescharacteristic, complemented
139#2551C2211yescharacteristic, complemented
140#2550C2212yescomplemented
141#2548C2211yescharacteristic
142#2548C2212yes—
143#2548C2212yes—
144#2548C2211yescharacteristic
145#2544C2214yescomplemented
146#2543C2214yescomplemented
147#2542C2212yescomplemented
148#2541C2212yes—
149#2541C2211yescharacteristic
150#2541C2212yes—
151#2541C2211yescharacteristic
152#2539C2214yes—
153#2537C2212yescomplemented
154#2535C2212yescomplemented
155#2534C2214yes—
156#2531C2214yescomplemented
157#2521C2214yescomplemented
158#2516C2214yescomplemented
159#2513C2212yescomplemented
160#2513C2212yescomplemented
161#2513C2212yescomplemented
162#2513C2212yescomplemented
163#2512C2212yescomplemented
164#2512C2212yescomplemented
165#2504C2212yescomplemented
166#2504C2212yescomplemented
167#2501C2212yescomplemented
168#2500C2212yescomplemented
169#2491C2212yescomplemented
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2490C2212yescomplemented
173#2490C2212yescomplemented
174#2490C2212yescomplemented
175#2482C2214yes—
176#2480C2214yes—
177#2476C2214yescomplemented
178#2472C2214yes—
179#2472C2214yes—
180#2471C2214yescomplemented
181#2468C2214yescomplemented
182#2464C2214yescomplemented
183#2464C2214yescomplemented
184#2464C2214yescomplemented
185#2461C2214yescomplemented
186#2461C2214yescomplemented
187#2461C2214yescomplemented
188#2457C2214yescomplemented
189#2454C2212yescomplemented
190#2452C2212yescomplemented
191#2448C2212yescomplemented
192#2447C2212yescomplemented
193#2445C2212yescomplemented
194#2445C2212yescomplemented
195#2444C2214yescomplemented
196#2441C2212yes—
197#2439C2212yes—
198#2435C2212yes—
199#2433C2212yes—
200#2428C2214yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2427C2212yescomplemented
204#2426C2212yescomplemented
205#2424C2214yes—
206#2422C2212yescomplemented
207#2422C2212yescomplemented
208#2422C2212yescomplemented
209#2422C2212yescomplemented
210#2420C2212yescomplemented
211#2420C2212yescomplemented
212#2416C2212yescomplemented
213#2416C2212yescomplemented
214#2416C2212yescomplemented
215#2414C2212yescomplemented
216#2411C2214yes—
217#2408C2212yes—
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2408C2212yes—
222#2408C2212yes—
223#2396C2212yescomplemented
224#2395C2214yescomplemented
225#2395C2214yescomplemented
226#2392C2212yes—
227#2392C2212yes—
228#2392C2212yescomplemented
229#2392C2214yescomplemented
230#2392C2214yescomplemented
231#2373C2214yescomplemented
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2366C2211yescharacteristic
235#2366C2211yescharacteristic
236#2366C2212yes—
237#2366C2212yes—
238#2363C2212yes—
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2363C2212yescomplemented
242#2362C2212yes—
243#2361C2212yescomplemented
244#2357C2212yes—
245#2357C2212yescomplemented
246#2356C2212yescomplemented
247#2355C2211yescharacteristic, complemented
248#2355C2211yescharacteristic, complemented
249#2355C2211yescharacteristic, complemented
250#2354C2211yescharacteristic
251#2354C2211yescharacteristic
252#2354C2212yes—
253#2354C2211yescharacteristic, complemented
254#2354C2212yescomplemented
255#2353C2212yes—
256#2353C2212yescomplemented
257#2352C2211yescharacteristic
258#2352C2211yescharacteristic
259#2352C2212yes—
260#2352C2211yescharacteristic, complemented
261#2352C2211yescharacteristic, complemented
262Q8×C4⋊C4C2211yescharacteristic, complemented
263D4×C4⋊C4C2211yescharacteristic, complemented
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2212yes—
266D4×C22⋊C4C2214yes—
267#2335C2214yes—
268#2328C2214yes—
269#2328C2212yescomplemented
270#2326C2212yescomplemented
271#2314C2212yescomplemented
272#2309C2212yes—
273#2309C2212yes—
274C4×#127C2212yes—
275C4×#127C2212yes—
276C4×#125C2212yescomplemented
277C4×#124C2212yescomplemented
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic, complemented
284#2298C2212yes—
285#2298C2212yescomplemented
286#2297C2212yes—
287#2293C2212yescomplemented
288#2293C2212yescomplemented
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic, complemented
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic, complemented
294#2274C2212yescomplemented
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C23×D4C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#555—48no—
304#553—48no—
305#542—48no—
306#540—48no—
307#535—48no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127—28no—
311C2×#127C2312yes—
312C2×#127C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2314yes—
319#529—28no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375#518—48no—
376C4×#41—28no—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2314yes—
418C2×#117C2311yescharacteristic
419C2×#117C2314yes—
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2314yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2312yes—
428C22×C42C2311yescharacteristic
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2314yes—
438#399C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2312yes—
483#396C2312yes—
484#396C2312yes—
485#396C2312yes—
486#396C2312yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2312yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2312yes—
545#392C2312yes—
546#392C2312yes—
547#392C2314yes—
548#392C2314yes—
549#391C2311yescharacteristic
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2311yescharacteristic
554#391C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#383C2312yes—
719#383C2312yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#382C2312yes—
730#381C2312yes—
731#381C2312yes—
732#381C2314yes—
733#381C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2314yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2314yes—
754#379C2314yes—
755#379C2314yes—
756#379C2314yes—
757#379C2314yes—
758#379C2314yes—
759#379C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816C2×#95C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2414yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—42no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×D4—28no—
827C22×D4—28no—
828C22×D4—28no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—82no—
834C22×D4—82no—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878#127—24no—
879#127—24no—
880#127—28no—
881#127—28no—
882#127—28no—
883#127—44no—
884#127—44no—
885#127—48no—
886#126—28no—
887#126—48no—
888#126—48no—
889#125—24no—
890#125—44no—
891#125—44no—
892#124—24no—
893#124—48no—
894#124—48no—
895#124—44no—
896#124—44no—
897#124—48no—
898#124—48no—
899#124—84no—
900#123—28no—
901#123—48no—
902#123—48no—
903#123—48no—
904#123—48no—
905#123—84no—
906#123—84no—
907C22⋊Q8—24no—
908C22⋊Q8—24no—
909C22⋊Q8—48no—
910C22⋊Q8—42no—
911C22⋊Q8—84no—
912#121—24no—
913#121—28no—
914#121—28no—
915#121—24no—
916#121—48no—
917#121—48no—
918#121—48no—
919#121—48no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—42no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—82no—
932#121—84no—
933#121—84no—
934#121—82no—
935#121—82no—
936#121—82no—
937#120—48no—
938#120—48no—
939#120—84no—
940#120—84no—
941C4×Q8—24no—
942C4×Q8—24no—
943C4×Q8—24no—
944C4×Q8—44no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—48no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—84no—
968C4×D4—84no—
969C4×D4—84no—
970#117—24no—
971#117—28no—
972#117—24no—
973#117—28no—
974#117—24no—
975#117—24no—
976#117—24no—
977#117—28no—
978#117—44no—
979#117—48no—
980#117—42no—
981#117—42no—
982#117—44no—
983#117—84no—
984C2×C4⋊C4—24no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4—42no—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C22⋊C4—48no—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C42—24no—
1123C2×C42—24no—
1124C2×C42—44no—
1125C2×C42#4118yes—
1126C2×C42C2412yes—
1127C2×C42C2414yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211C24—28no—
1212C24—44no—
1213C24—44no—
1214C24—44no—
1215C24—44no—
1216C24—44no—
1217C24—44no—
1218C24C2514yes—
1219C24C2514yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222C24C2511yescharacteristic
1223C24C2511yescharacteristic
1224#41—416no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—41no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—28no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—28no—
1245C2×D4—28no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—432no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—816no—
1308C2×D4—816no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—28no—
1330C22×C4—28no—
1331C22×C4—24no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—42no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4C2×#4114yes—
1357C22×C4C2×#4114yes—
1358C22×C4C2×#4114yes—
1359C22×C4H(5,𝔽2)14yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2514yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2514yes—
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4H(5,𝔽2)14yes—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—24no—
1529C42—24no—
1530C42—28no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—42no—
1539C42—42no—
1540C42—42no—
1541C42—42no—
1542C42—44no—
1543C42—42no—
1544C42—44no—
1545C42—42no—
1546C42—42no—
1547C42—44no—
1548C42—42no—
1549C42C2×#4114yes—
1550C42C2×#4114yes—
1551C42C2×#4114yes—
1552C42C2×#4114yes—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—22no—
1566C23—21no—
1567C23—24no—
1568C23—24no—
1569C23—22no—
1570C23—21no—
1571C23—24no—
1572C23—24no—
1573C23—24no—
1574C23—22no—
1575C23—24no—
1576C23—21no—
1577C23—24no—
1578C23—21no—
1579C23—21no—
1580C23—24no—
1581C23—24no—
1582C23—24no—
1583C23—22no—
1584C23—22no—
1585C23—21no—
1586C23—24no—
1587C23—24no—
1588C23—24no—
1589C23—24no—
1590C23—22no—
1591C23—21no—
1592C23—22no—
1593C23—416no—
1594C23—88no—
1595C23—88no—
1596C23—164no—
1597C23—164no—
1598C23—164no—
1599C23—164no—
1600C23C22×#4112yes—
1601C23C2×H(5,𝔽2)12yes—
1602C23C2611yescharacteristic
1603Q8—44no—
1604Q8—44no—
1605Q8—164no—
1606D4—44no—
1607D4—44no—
1608D4—416no—
1609D4—416no—
1610D4—44no—
1611D4—48no—
1612D4—48no—
1613D4—44no—
1614D4—48no—
1615D4—48no—
1616D4—88no—
1617D4—84no—
1618D4—84no—
1619D4—84no—
1620D4—84no—
1621D4—88no—
1622D4—88no—
1623D4—84no—
1624D4—164no—
1625D4—164no—
1626D4—164no—
1627D4—164no—
1628D4—164no—
1629D4—164no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—28no—
1643C2×C4—28no—
1644C2×C4—28no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—48no—
1712C2×C4—44no—
1713C2×C4—82no—
1714C2×C4—82no—
1715C2×C4—88no—
1716C2×C4—88no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—164no—
1720C2×C4—164no—
1721C2×C4—164no—
1722C2×C4C22×#4112yes—
1723C2×C4C22×#4112yes—
1724C2×C4C22×#4112yes—
1725C2×C4C22×#4112yes—
1726C2×C4C22×#4112yes—
1727C2×C4C22×#4112yes—
1728C2×C4C2×H(5,𝔽2)14yes—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×H(5,𝔽2)12yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4#58512yes—
1733C2×C4#58512yes—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—44no—
1750C22—44no—
1751C22—42no—
1752C22—41no—
1753C22—44no—
1754C22—44no—
1755C22—42no—
1756C22—44no—
1757C22—44no—
1758C22—42no—
1759C22—41no—
1760C22—44no—
1761C22—44no—
1762C22—41no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—44no—
1767C22—44no—
1768C22—42no—
1769C22—44no—
1770C22—41no—
1771C22—44no—
1772C22—42no—
1773C22—44no—
1774C22—41no—
1775C22—44no—
1776C22—1616no—
1777C22C23×#4111yescharacteristic
1778C22C22×H(5,𝔽2)11yescharacteristic
1779C22C22×H(5,𝔽2)11yescharacteristic
1780C22C2×#58511yescharacteristic
1781C22C2×#58511yescharacteristic
1782C22H(7,𝔽2)11yescharacteristic
1783C22H(7,𝔽2)11yescharacteristic
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—24no—
1789C4—22no—
1790C4—41no—
1791C4—42no—
1792C4—41no—
1793C4—41no—
1794C4—42no—
1795C4—42no—
1796C4—42no—
1797C4—42no—
1798C4—44no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—41no—
1804C4—41no—
1805C4—42no—
1806C4—42no—
1807C4—44no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4#346014yes—
1812C4#349414yes—
1813C2—42no—
1814C2—42no—
1815C2—81no—
1816C2—82no—
1817C2—84no—
1818C2—84no—
1819C2C2×#346011yescharacteristic
1820C2C2×#349411yescharacteristic
1821C2#6285511yescharacteristic
1822C2#6291611yescharacteristic
1823C2#6292011yescharacteristic
1824C2#6296111yescharacteristic
1825C2#6296611yescharacteristic
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. #42982C2semidirect
2. #42974C2semidirect
3. #42472C2semidirect
4. #42471C2semidirect
5. #42233C2semidirect
6. #42073C2semidirect
7. #40941C2semidirect
8. #40926C2semidirect
9. #39438C2semidirect
10. #39434C2semidirect
11. #39352C2semidirect
12. #39351C2semidirect
13. #39148C2semidirect
14. #39147C2semidirect
15. #38254C2semidirect
16. #38250C2semidirect
17. #37624C2semidirect
18. #37614C2semidirect
19. #37591C2semidirect
20. #37587C2semidirect
21. #36596C2semidirect
22. #36587C2semidirect
23. #36302C2semidirect
24. #36273C2semidirect
25. #36022C2semidirect
26. #35830C2semidirect
27. #35823C2semidirect
28. #35813C2semidirect
29. #35276C2semidirect
30. #35272C2semidirect
31. #34621C2semidirect
32. #34614C2semidirect
33. #34242C2semidirect
34. #34210C2semidirect
35. #34121C2semidirect
36. C2×#555C22semidirect
37. C2×#553C22semidirect
38. C2×#542C22semidirect
39. C2×#540C22semidirect
45. #2861C22semidirect
46. #2858C22semidirect
51. #2856C22semidirect
52. #2850C22semidirect
54. #2830C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
57. #2828C22semidirect
59. #2797C22semidirect
60. #2796C22semidirect
61. #2786C22semidirect
62. #2757C22semidirect
63. #2749C22semidirect
66. #2730C22semidirect
67. #2723C22semidirect
68. #2710C22semidirect
69. #2709C22semidirect
70. #2706C22semidirect
71. #2701C22semidirect
72. #2700C22semidirect
74. #2688C22semidirect
79. #2673C22semidirect
80. #2672C22semidirect
81. #2671C22semidirect
83. #2666C22semidirect
84. #2662C22semidirect
85. #2661C22semidirect
86. #2660C22semidirect
88. #2651C22semidirect
89. #2651C22semidirect
90. #2651C22semidirect
91. #2648C22semidirect
92. #2648C22semidirect
93. #2648C22semidirect
94. #2647C22semidirect
95. #2644C22semidirect
96. #2644C22semidirect
98. #2638C22semidirect
99. #2637C22semidirect
100. #2636C22semidirect
101. #2635C22semidirect
104. #2630C22semidirect
105. #2630C22semidirect
107. #2629C22semidirect
108. #2629C22semidirect
112. #2624C22semidirect
113. #2624C22semidirect
114. #2620C22semidirect
115. #2620C22semidirect
123. #2610C22semidirect
124. #2601C22semidirect
125. #2597C22semidirect
126. #2571C22semidirect
127. #2570C22semidirect
128. #2566C22semidirect
129. #2557C22semidirect
130. #2557C22semidirect
131. #2555C22semidirect
132. #2555C22semidirect
133. #2555C22semidirect
134. #2554C22semidirect
135. #2554C22semidirect
136. #2554C22semidirect
137. #2552C22semidirect
138. #2552C22semidirect
139. #2551C22semidirect
140. #2550C22semidirect
145. #2544C22semidirect
146. #2543C22semidirect
147. #2542C22semidirect
153. #2537C22semidirect
154. #2535C22semidirect
156. #2531C22semidirect
157. #2521C22semidirect
158. #2516C22semidirect
159. #2513C22semidirect
160. #2513C22semidirect
161. #2513C22semidirect
162. #2513C22semidirect
163. #2512C22semidirect
164. #2512C22semidirect
165. #2504C22semidirect
166. #2504C22semidirect
167. #2501C22semidirect
168. #2500C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2490C22semidirect
173. #2490C22semidirect
174. #2490C22semidirect
177. #2476C22semidirect
180. #2471C22semidirect
181. #2468C22semidirect
182. #2464C22semidirect
183. #2464C22semidirect
184. #2464C22semidirect
185. #2461C22semidirect
186. #2461C22semidirect
187. #2461C22semidirect
188. #2457C22semidirect
189. #2454C22semidirect
190. #2452C22semidirect
191. #2448C22semidirect
192. #2447C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2444C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2427C22semidirect
204. #2426C22semidirect
206. #2422C22semidirect
207. #2422C22semidirect
208. #2422C22semidirect
209. #2422C22semidirect
210. #2420C22semidirect
211. #2420C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2414C22semidirect
223. #2396C22semidirect
224. #2395C22semidirect
225. #2395C22semidirect
228. #2392C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
231. #2373C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
243. #2361C22semidirect
245. #2357C22semidirect
246. #2356C22semidirect
247. #2355C22semidirect
248. #2355C22semidirect
249. #2355C22semidirect
253. #2354C22semidirect
254. #2354C22semidirect
256. #2353C22semidirect
260. #2352C22semidirect
261. #2352C22semidirect
262. Q8×C4⋊C4C22semidirect
263. D4×C4⋊C4C22semidirect
269. #2328C22semidirect
270. #2326C22semidirect
271. #2314C22semidirect
276. C4×#125C22semidirect
277. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
285. #2298C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
291. #2285C22semidirect
293. #2283C22semidirect
294. #2274C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#429822
#429742
#424722
#424712
#422332
#420732
#409412
#409262
#394382
#394342
#393522
#393512
#391482
#391472
#382542
#382502
#376242
#376142
#375912
#375872
#365962
#365872
#363022
#362732
#360222
#358302
#358232
#358132
#352762
#352722
#346212
#346142
#342422
#342102
#341212