Finite Group Databasebeta

← #8425182

Subgroups — #8425182

Order 512.

5240 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59817C211yesmaximal, characteristic, complemented
2#59394C212yesmaximal, complemented
3#59243C211yesmaximal, characteristic, complemented
4#59214C211yesmaximal, characteristic, complemented
5#59005C212yesmaximal, complemented
6#55059C214yesmaximal, complemented
7#54944C214yesmaximal, complemented
8#53151C212yesmaximal, complemented
9#53101C212yesmaximal, complemented
10#52968C212yesmaximal, complemented
11#52956C212yesmaximal, complemented
12#52481C214yesmaximal, complemented
13#42831C212yesmaximal, complemented
14#42786C212yesmaximal, complemented
15#42619C212yesmaximal, complemented
16#42616C212yesmaximal, complemented
17#41191C214yesmaximal, complemented
18#40127C212yesmaximal, complemented
19#39932C212yesmaximal, complemented
20#39688C212yesmaximal, complemented
21#39343C211yesmaximal, characteristic, complemented
22#39192C211yesmaximal, characteristic, complemented
23#39191C211yesmaximal, characteristic, complemented
24#39124C211yesmaximal, characteristic, complemented
25#37659C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37621C211yesmaximal, characteristic, complemented
28#37523C212yesmaximal, complemented
29#37438C212yesmaximal, complemented
30#36444C211yesmaximal, characteristic, complemented
31#36210C211yesmaximal, characteristic, complemented
32D4×C22⋊Q8C211yesmaximal, characteristic, complemented
33#34935C211yesmaximal, characteristic, complemented
34#34724C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×D4×Q8C2212yescomplemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2212yes—
40C2×#536C2212yescomplemented
41C2×#532C2211yescharacteristic
42C2×#529C2211yescharacteristic, complemented
43C2×#525C2212yes—
44C2×#525C2212yes—
45C22×C22⋊Q8C2212yes—
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2859C2211yescharacteristic, complemented
49#2857C2211yescharacteristic
50#2857C2212yescomplemented
51#2857C2211yescharacteristic, complemented
52#2848C2212yes—
53#2838C2214yescomplemented
54#2838C2214yescomplemented
55#2837C2214yescomplemented
56#2833C2214yescomplemented
57#2830C2214yescomplemented
58#2829C2214yescomplemented
59#2826C2214yescomplemented
60#2825C2214yes—
61#2825C2214yes—
62#2824C2214yescomplemented
63#2817C2214yes—
64#2816C2214yes—
65#2814C2214yescomplemented
66#2813C2214yescomplemented
67#2797C2214yes—
68#2788C2214yescomplemented
69#2786C2214yes—
70#2784C2214yescomplemented
71#2780C2214yescomplemented
72#2780C2214yescomplemented
73#2778C2214yes—
74#2775C2214yescomplemented
75#2772C2214yescomplemented
76#2771C2214yes—
77#2768C2214yescomplemented
78#2761C2214yes—
79#2753C2214yescomplemented
80#2749C2214yescomplemented
81#2737C2214yescomplemented
82#2735C2214yes—
83#2734C2214yescomplemented
84#2731C2214yescomplemented
85#2730C2214yes—
86#2729C2214yescomplemented
87#2725C2214yescomplemented
88#2723C2214yescomplemented
89#2714C2214yes—
90#2711C2214yescomplemented
91#2705C2214yescomplemented
92#2703C2214yescomplemented
93#2696C2214yescomplemented
94#2685C2214yes—
95#2683C2214yescomplemented
96#2682C2214yes—
97#2681C2214yes—
98#2678C2214yes—
99#2674C2214yes—
100#2674C2214yes—
101#2674C2214yescomplemented
102#2672C2214yescomplemented
103#2670C2214yes—
104#2663C2214yescomplemented
105#2663C2214yescomplemented
106#2663C2214yescomplemented
107#2662C2214yescomplemented
108#2653C2214yes—
109#2651C2214yescomplemented
110#2649C2214yescomplemented
111#2649C2214yescomplemented
112#2630C2214yes—
113#2629C2212yescomplemented
114#2628C2212yescomplemented
115#2628C2212yescomplemented
116#2625C2212yescomplemented
117#2625C2212yescomplemented
118#2624C2212yes—
119#2624C2212yescomplemented
120#2622C2214yes—
121#2622C2214yes—
122#2620C2212yescomplemented
123#2619C2212yes—
124#2616C2212yescomplemented
125#2616C2212yescomplemented
126#2615C2212yescomplemented
127#2602C2214yescomplemented
128#2595C2214yescomplemented
129#2594C2214yescomplemented
130#2591C2214yescomplemented
131#2587C2214yescomplemented
132#2587C2214yescomplemented
133#2583C2214yescomplemented
134#2578C2214yescomplemented
135#2566C2212yes—
136#2563C2212yescomplemented
137#2562C2212yes—
138#2562C2212yescomplemented
139#2552C2211yescharacteristic, complemented
140#2551C2212yescomplemented
141#2551C2212yescomplemented
142#2547C2212yes—
143#2547C2211yescharacteristic, complemented
144#2542C2211yescharacteristic
145#2540C2212yescomplemented
146#2540C2212yescomplemented
147#2538C2211yescharacteristic
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2538C2212yescomplemented
151#2538C2211yescharacteristic, complemented
152#2538C2212yescomplemented
153#2537C2211yescharacteristic
154#2537C2212yes—
155#2537C2211yescharacteristic
156#2537C2211yescharacteristic, complemented
157#2536C2212yes—
158#2535C2212yes—
159#2535C2212yes—
160#2534C2214yes—
161#2514C2212yescomplemented
162#2513C2212yes—
163#2513C2212yescomplemented
164#2512C2212yes—
165#2509C2212yescomplemented
166#2509C2212yescomplemented
167#2509C2212yescomplemented
168#2507C2212yescomplemented
169#2499C2212yescomplemented
170#2497C2212yescomplemented
171#2497C2212yescomplemented
172#2497C2212yescomplemented
173#2496C2212yescomplemented
174#2495C2212yes—
175#2494C2212yes—
176#2494C2212yes—
177#2494C2212yescomplemented
178#2494C2212yescomplemented
179#2491C2212yes—
180#2490C2212yes—
181#2490C2212yes—
182#2489C2212yescomplemented
183#2487C2212yescomplemented
184#2487C2212yescomplemented
185#2486C2212yes—
186#2485C2212yes—
187#2485C2212yescomplemented
188#2478C2212yescomplemented
189#2472C2212yes—
190#2472C2214yes—
191#2470C2212yescomplemented
192#2466C2212yes—
193#2464C2212yes—
194#2463C2214yescomplemented
195#2461C2212yes—
196#2461C2214yescomplemented
197#2456C2214yescomplemented
198#2455C2212yes—
199#2455C2214yescomplemented
200#2453C2211yescharacteristic, complemented
201#2452C2211yescharacteristic
202#2452C2212yes—
203#2452C2212yes—
204#2452C2214yescomplemented
205#2452C2214yescomplemented
206#2452C2212yescomplemented
207#2452C2214yescomplemented
208#2449C2214yes—
209#2449C2214yescomplemented
210#2447C2211yescharacteristic, complemented
211#2445C2212yes—
212#2445C2211yescharacteristic
213#2441C2211yescharacteristic
214#2441C2212yescomplemented
215#2440C2212yes—
216#2440C2211yescharacteristic
217#2437C2214yes—
218#2436C2212yescomplemented
219#2433C2211yescharacteristic
220#2432C2211yescharacteristic
221#2429C2212yescomplemented
222#2429C2211yescharacteristic, complemented
223#2428C2211yescharacteristic
224#2428C2212yes—
225#2427C2214yes—
226#2427C2212yescomplemented
227#2426C2212yescomplemented
228#2424C2212yes—
229#2424C2214yes—
230#2423C2212yescomplemented
231#2422C2211yescharacteristic
232#2422C2212yescomplemented
233#2422C2211yescharacteristic, complemented
234#2421C2212yescomplemented
235#2417C2212yes—
236#2416C2211yescharacteristic
237#2416C2212yescomplemented
238#2415C2212yes—
239#2415C2211yescharacteristic
240#2415C2212yes—
241#2415C2212yes—
242#2415C2214yescomplemented
243#2415C2212yescomplemented
244#2414C2212yes—
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2409C2212yes—
248#2409C2212yescomplemented
249#2409C2212yescomplemented
250#2409C2212yescomplemented
251#2409C2212yescomplemented
252#2408C2212yes—
253#2408C2211yescharacteristic
254#2407C2211yescharacteristic
255#2395C2212yes—
256#2392C2214yes—
257#2392C2212yes—
258#2392C2212yes—
259#2388C2212yes—
260#2370C2212yescomplemented
261#2370C2212yescomplemented
262#2366C2212yes—
263#2363C2212yes—
264#2362C2212yes—
265#2361C2214yescomplemented
266#2360C2212yescomplemented
267#2355C2211yescharacteristic, complemented
268#2354C2212yes—
269#2354C2211yescharacteristic, complemented
270Q8×C4⋊C4C2211yescharacteristic, complemented
271D4×C4⋊C4C2212yes—
272D4×C4⋊C4C2211yescharacteristic
273#2347C2212yescomplemented
274Q8×C22⋊C4C2212yescomplemented
275D4×C22⋊C4C2212yes—
276#2334C2214yescomplemented
277#2324C2212yes—
278#2324C2212yes—
279#2323C2212yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×#123C2212yescomplemented
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2212yescomplemented
291C4×#120C2212yes—
292#2296C2212yescomplemented
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic, complemented
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic, complemented
297#2280C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×Q8C2312yes—
302C23×Q8C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305D4×Q8—44no—
306D4×Q8—44no—
307D4×Q8—48no—
308#548—48no—
309#536—48no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2314yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320#529—44no—
321C2×#126C2314yes—
322C2×#126C2312yes—
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2311yescharacteristic
331#525—48no—
332#525—48no—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×C22⋊Q8—48no—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#120C2312yes—
380C2×#120C2312yes—
381C2×#120C2314yes—
382C2×#120C2312yes—
383C4×#41—44no—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×D4—44no—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2311yescharacteristic
425C22×C4⋊C4C2314yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2311yescharacteristic
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2312yes—
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2312yes—
433#401C2314yes—
434#401C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2312yes—
444#400C2314yes—
445#400C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#398C2312yes—
462#398C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2312yes—
502#396C2312yes—
503#396C2314yes—
504#396C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2312yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2312yes—
553#393C2314yes—
554#393C2314yes—
555#392C2314yes—
556#392C2312yes—
557#392C2314yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2312yes—
565#392C2312yes—
566#392C2312yes—
567#391C2311yescharacteristic
568#391C2312yes—
569#391C2311yescharacteristic
570#391C2314yes—
571#391C2312yes—
572#391C2314yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2312yes—
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2314yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2312yes—
688#387C2314yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2314yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2312yes—
743#384C2312yes—
744#383C2314yes—
745#382C2314yes—
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#381C2314yes—
751#381C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#379C2314yes—
782#379C2314yes—
783#379C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—42no—
829C22×Q8—28no—
830C22×Q8—44no—
831C22×Q8—44no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2414yes—
839C22×Q8C2414yes—
840C22×Q8C2412yes—
841C22×D4—24no—
842C22×D4—42no—
843C22×D4—42no—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C23×C4—28no—
864C23×C4—44no—
865C23×C4—44no—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2412yes—
884C4⋊Q8—24no—
885C4⋊Q8—24no—
886C4⋊Q8—42no—
887C4⋊Q8—44no—
888C4⋊Q8—44no—
889C4⋊Q8—48no—
890C4⋊Q8—48no—
891#127—24no—
892#127—42no—
893#126—44no—
894#126—48no—
895#125—44no—
896#125—44no—
897#125—42no—
898#124—44no—
899#124—42no—
900#124—44no—
901#124—48no—
902#124—48no—
903#123—44no—
904#123—44no—
905#123—44no—
906#123—44no—
907#123—48no—
908#123—48no—
909#123—48no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—24no—
913C22⋊Q8—24no—
914C22⋊Q8—28no—
915C22⋊Q8—48no—
916C22⋊Q8—44no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—44no—
922C22⋊Q8—48no—
923C22⋊Q8—48no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—42no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932#121—28no—
933#121—24no—
934#121—44no—
935#121—44no—
936#121—48no—
937#121—48no—
938#121—44no—
939#121—44no—
940#121—42no—
941#121—44no—
942#121—44no—
943#121—42no—
944#121—42no—
945#121—42no—
946#121—44no—
947#121—44no—
948#120—44no—
949#120—48no—
950#120—44no—
951#120—44no—
952C4×Q8—24no—
953C4×Q8—24no—
954C4×Q8—42no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×D4—24no—
958C4×D4—28no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—44no—
964C4×D4—42no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—44no—
968C4×D4—42no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—42no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—48no—
981C4×D4—48no—
982C4×D4—48no—
983C4×D4—48no—
984#117—44no—
985#117—44no—
986#117—44no—
987#117—44no—
988#117—44no—
989#117—42no—
990#117—44no—
991#117—44no—
992C2×C4⋊C4—42no—
993C2×C4⋊C4—48no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C22⋊C4—44no—
1063C2×C22⋊C4—48no—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C42—24no—
1136C2×C42—24no—
1137C2×C42—44no—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163#95C2412yes—
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219C24—24no—
1220C24—24no—
1221C24—42no—
1222C24—42no—
1223C24—42no—
1224C24—42no—
1225C24—42no—
1226C24C2512yes—
1227C24C2511yescharacteristic
1228C24C2512yes—
1229C24C2512yes—
1230C24C2511yescharacteristic
1231C24C2512yes—
1232#41—416no—
1233#41—816no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—28no—
1243C2×Q8—44no—
1244C2×Q8—42no—
1245C2×Q8—44no—
1246C2×Q8—44no—
1247C2×Q8—44no—
1248C2×Q8—44no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—816no—
1252C2×Q8—816no—
1253C2×Q8H(5,𝔽2)14yes—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—416no—
1311C2×D42−1+414yes—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—28no—
1342C22×C4—24no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—44no—
1346C22×C4—42no—
1347C22×C4—44no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—816no—
1366C22×C4H(5,𝔽2)14yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2514yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2514yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—28no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—28no—
1414C4⋊C4—28no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—28no—
1426C4⋊C4—24no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—22no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—22no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—24no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—24no—
1541C42—22no—
1542C42—24no—
1543C42—24no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—24no—
1548C42—22no—
1549C42—42no—
1550C42—42no—
1551C42—41no—
1552C42—44no—
1553C42—44no—
1554C42—44no—
1555C42—44no—
1556C42—44no—
1557C42—44no—
1558C42H(5,𝔽2)14yes—
1559C23—22no—
1560C23—22no—
1561C23—21no—
1562C23—21no—
1563C23—22no—
1564C23—21no—
1565C23—21no—
1566C23—22no—
1567C23—21no—
1568C23—22no—
1569C23—21no—
1570C23—22no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—21no—
1583C23—22no—
1584C23—21no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—22no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—21no—
1599C23—48no—
1600C23—48no—
1601C23—84no—
1602C23—84no—
1603C23—84no—
1604C23—84no—
1605C23—84no—
1606C23C2×H(5,𝔽2)12yes—
1607C23C2×2−1+414yes—
1608C23C2611yescharacteristic
1609Q8—28no—
1610Q8—44no—
1611Q8—48no—
1612Q8—88no—
1613Q8—88no—
1614Q8—84no—
1615D4—28no—
1616D4—48no—
1617D4—48no—
1618D4—44no—
1619D4—48no—
1620D4—44no—
1621D4—44no—
1622D4—44no—
1623D4—84no—
1624D4—88no—
1625D4—84no—
1626D4—84no—
1627D4—88no—
1628D4—88no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—84no—
1633D4—84no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—28no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—48no—
1713C2×C4—48no—
1714C2×C4—48no—
1715C2×C4—48no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—48no—
1719C2×C4—44no—
1720C2×C4—82no—
1721C2×C4—82no—
1722C2×C4—84no—
1723C2×C4—84no—
1724C2×C4—88no—
1725C2×C4—84no—
1726C2×C4—88no—
1727C2×C4—84no—
1728C2×C4—88no—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×H(5,𝔽2)14yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4C2×H(5,𝔽2)12yes—
1735C2×C4C2×H(5,𝔽2)12yes—
1736C2×C4C2×2−1+412yes—
1737C2×C4#58512yes—
1738C2×C4#58512yes—
1739C22—24no—
1740C22—22no—
1741C22—22no—
1742C22—24no—
1743C22—24no—
1744C22—22no—
1745C22—41no—
1746C22—42no—
1747C22—42no—
1748C22—41no—
1749C22—42no—
1750C22—41no—
1751C22—41no—
1752C22—42no—
1753C22—42no—
1754C22—41no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—41no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—41no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—41no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—41no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—816no—
1782C22C22×H(5,𝔽2)11yescharacteristic
1783C22C22×H(5,𝔽2)11yescharacteristic
1784C22C22×H(5,𝔽2)11yescharacteristic
1785C22C22×2−1+411yescharacteristic
1786C22C2×#58511yescharacteristic
1787C22C2×#58511yescharacteristic
1788C222−1+611yescharacteristic
1789C4—22no—
1790C4—24no—
1791C4—22no—
1792C4—22no—
1793C4—41no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4—42no—
1798C4—41no—
1799C4—42no—
1800C4—42no—
1801C4—44no—
1802C4—42no—
1803C4—44no—
1804C4—41no—
1805C4—42no—
1806C4—44no—
1807C4—41no—
1808C4—42no—
1809C4—44no—
1810C4—42no—
1811C4—41no—
1812C4—42no—
1813C4—41no—
1814C4—41no—
1815C4—42no—
1816C4#353714yes—
1817C4#354114yes—
1818C2—44no—
1819C2—42no—
1820C2—82no—
1821C2—81no—
1822C2—82no—
1823C2—82no—
1824C2C2×#354111yescharacteristic
1825C2C2×#353711yescharacteristic
1826C2#6275911yescharacteristic
1827C2#6292211yescharacteristic
1828C2#6294211yescharacteristic
1829C2#6296011yescharacteristic
1830C2#6301511yescharacteristic
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. #59817C2semidirect
2. #59394C2semidirect
3. #59243C2semidirect
4. #59214C2semidirect
5. #59005C2semidirect
6. #55059C2semidirect
7. #54944C2semidirect
8. #53151C2semidirect
9. #53101C2semidirect
10. #52968C2semidirect
11. #52956C2semidirect
12. #52481C2semidirect
13. #42831C2semidirect
14. #42786C2semidirect
15. #42619C2semidirect
16. #42616C2semidirect
17. #41191C2semidirect
18. #40127C2semidirect
19. #39932C2semidirect
20. #39688C2semidirect
21. #39343C2semidirect
22. #39192C2semidirect
23. #39191C2semidirect
24. #39124C2semidirect
25. #37659C2semidirect
26. #37627C2semidirect
27. #37621C2semidirect
28. #37523C2semidirect
29. #37438C2semidirect
30. #36444C2semidirect
31. #36210C2semidirect
32. D4×C22⋊Q8C2semidirect
33. #34935C2semidirect
34. #34724C2semidirect
35. #34681C2semidirect
37. C2×D4×Q8C22semidirect
38. C2×D4×Q8C22semidirect
40. C2×#536C22semidirect
42. C2×#529C22semidirect
48. #2859C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
53. #2838C22semidirect
54. #2838C22semidirect
55. #2837C22semidirect
56. #2833C22semidirect
57. #2830C22semidirect
58. #2829C22semidirect
59. #2826C22semidirect
62. #2824C22semidirect
65. #2814C22semidirect
66. #2813C22semidirect
68. #2788C22semidirect
70. #2784C22semidirect
71. #2780C22semidirect
72. #2780C22semidirect
74. #2775C22semidirect
75. #2772C22semidirect
77. #2768C22semidirect
79. #2753C22semidirect
80. #2749C22semidirect
81. #2737C22semidirect
83. #2734C22semidirect
84. #2731C22semidirect
86. #2729C22semidirect
87. #2725C22semidirect
88. #2723C22semidirect
90. #2711C22semidirect
91. #2705C22semidirect
92. #2703C22semidirect
93. #2696C22semidirect
95. #2683C22semidirect
101. #2674C22semidirect
102. #2672C22semidirect
104. #2663C22semidirect
105. #2663C22semidirect
106. #2663C22semidirect
107. #2662C22semidirect
109. #2651C22semidirect
110. #2649C22semidirect
111. #2649C22semidirect
113. #2629C22semidirect
114. #2628C22semidirect
115. #2628C22semidirect
116. #2625C22semidirect
117. #2625C22semidirect
119. #2624C22semidirect
122. #2620C22semidirect
124. #2616C22semidirect
125. #2616C22semidirect
126. #2615C22semidirect
127. #2602C22semidirect
128. #2595C22semidirect
129. #2594C22semidirect
130. #2591C22semidirect
131. #2587C22semidirect
132. #2587C22semidirect
133. #2583C22semidirect
134. #2578C22semidirect
136. #2563C22semidirect
138. #2562C22semidirect
139. #2552C22semidirect
140. #2551C22semidirect
141. #2551C22semidirect
143. #2547C22semidirect
145. #2540C22semidirect
146. #2540C22semidirect
150. #2538C22semidirect
151. #2538C22semidirect
152. #2538C22semidirect
156. #2537C22semidirect
161. #2514C22semidirect
163. #2513C22semidirect
165. #2509C22semidirect
166. #2509C22semidirect
167. #2509C22semidirect
168. #2507C22semidirect
169. #2499C22semidirect
170. #2497C22semidirect
171. #2497C22semidirect
172. #2497C22semidirect
173. #2496C22semidirect
177. #2494C22semidirect
178. #2494C22semidirect
182. #2489C22semidirect
183. #2487C22semidirect
184. #2487C22semidirect
187. #2485C22semidirect
188. #2478C22semidirect
191. #2470C22semidirect
194. #2463C22semidirect
196. #2461C22semidirect
197. #2456C22semidirect
199. #2455C22semidirect
200. #2453C22semidirect
204. #2452C22semidirect
205. #2452C22semidirect
206. #2452C22semidirect
207. #2452C22semidirect
209. #2449C22semidirect
210. #2447C22semidirect
214. #2441C22semidirect
218. #2436C22semidirect
221. #2429C22semidirect
222. #2429C22semidirect
226. #2427C22semidirect
227. #2426C22semidirect
230. #2423C22semidirect
232. #2422C22semidirect
233. #2422C22semidirect
234. #2421C22semidirect
237. #2416C22semidirect
242. #2415C22semidirect
243. #2415C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
248. #2409C22semidirect
249. #2409C22semidirect
250. #2409C22semidirect
251. #2409C22semidirect
260. #2370C22semidirect
261. #2370C22semidirect
265. #2361C22semidirect
266. #2360C22semidirect
267. #2355C22semidirect
269. #2354C22semidirect
270. Q8×C4⋊C4C22semidirect
273. #2347C22semidirect
274. Q8×C22⋊C4C22semidirect
276. #2334C22semidirect
279. #2323C22semidirect
280. C4×C4⋊Q8C22semidirect
281. C4×C4⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×#123C22semidirect
290. C4×#121C22semidirect
292. #2296C22semidirect
294. #2293C22semidirect
296. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#598172
#593942
#592432
#592142
#590052
#550592
#549442
#531512
#531012
#529682
#529562
#524812
#428312
#427862
#426192
#426162
#411912
#401272
#399322
#396882
#393432
#391922
#391912
#391242
#376592
#376272
#376212
#375232
#374382
#364442
#362102
D4×C22⋊Q82
#349352
#347242
#346812