Finite Group Databasebeta

← #8425212

Subgroups — #8425212

Order 512.

5304 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59478C212yesmaximal, complemented
3#59080C211yesmaximal, characteristic, complemented
4#59049C211yesmaximal, characteristic, complemented
5#59018C212yesmaximal, complemented
6#57426C214yesmaximal, complemented
7#54810C214yesmaximal, complemented
8#53151C212yesmaximal, complemented
9#53116C212yesmaximal, complemented
10#53044C212yesmaximal, complemented
11#53000C212yesmaximal, complemented
12#52681C214yesmaximal, complemented
13#42995C212yesmaximal, complemented
14#42838C212yesmaximal, complemented
15#42778C212yesmaximal, complemented
16#42635C212yesmaximal, complemented
17#41078C214yesmaximal, complemented
18#40153C212yesmaximal, complemented
19#39860C212yesmaximal, complemented
20#39808C212yesmaximal, complemented
21#39343C211yesmaximal, characteristic, complemented
22#39200C211yesmaximal, characteristic, complemented
23#39167C211yesmaximal, characteristic, complemented
24#39156C211yesmaximal, characteristic, complemented
25#37659C212yesmaximal, complemented
26#37629C212yesmaximal, complemented
27#37625C211yesmaximal, characteristic, complemented
28#37618C211yesmaximal, characteristic, complemented
29#37445C212yesmaximal, complemented
30#36315C211yesmaximal, characteristic, complemented
31#36161C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#34936C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2212yescomplemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2212yes—
40C2×#536C2212yescomplemented
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic, complemented
44C2×#525C2212yes—
45C2×#525C2212yes—
46C2×#525C2212yes—
47C22×C4×D4C2211yescharacteristic
48#2862C2211yescharacteristic, complemented
49#2861C2212yescomplemented
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic, complemented
52#2848C2212yes—
53#2838C2214yescomplemented
54#2830C2214yescomplemented
55#2830C2214yescomplemented
56#2829C2214yescomplemented
57#2829C2214yescomplemented
58#2828C2214yes—
59#2828C2214yes—
60#2825C2214yes—
61#2824C2214yes—
62#2819C2214yes—
63#2815C2214yescomplemented
64#2813C2214yes—
65#2812C2214yes—
66#2812C2214yes—
67#2803C2214yescomplemented
68#2803C2214yescomplemented
69#2797C2214yescomplemented
70#2780C2214yescomplemented
71#2777C2214yescomplemented
72#2773C2214yescomplemented
73#2773C2214yescomplemented
74#2754C2214yescomplemented
75#2753C2214yes—
76#2752C2214yescomplemented
77#2749C2214yescomplemented
78#2742C2214yescomplemented
79#2740C2214yescomplemented
80#2737C2214yescomplemented
81#2733C2214yescomplemented
82#2723C2214yescomplemented
83#2723C2214yescomplemented
84#2717C2214yes—
85#2714C2214yescomplemented
86#2714C2214yescomplemented
87#2710C2214yescomplemented
88#2710C2214yescomplemented
89#2708C2214yes—
90#2705C2214yescomplemented
91#2703C2214yes—
92#2703C2214yescomplemented
93#2684C2214yes—
94#2684C2214yes—
95#2682C2214yes—
96#2678C2214yes—
97#2678C2214yes—
98#2676C2214yes—
99#2674C2214yes—
100#2674C2214yescomplemented
101#2672C2214yescomplemented
102#2670C2214yes—
103#2668C2214yes—
104#2663C2214yes—
105#2661C2214yes—
106#2657C2212yes—
107#2649C2214yescomplemented
108#2644C2212yes—
109#2644C2214yescomplemented
110#2644C2212yescomplemented
111#2641C2212yes—
112#2640C2212yes—
113#2640C2214yescomplemented
114#2640C2212yescomplemented
115#2638C2214yescomplemented
116#2638C2214yescomplemented
117#2635C2214yescomplemented
118#2631C2214yescomplemented
119#2630C2214yescomplemented
120#2628C2214yescomplemented
121#2625C2212yescomplemented
122#2624C2212yescomplemented
123#2620C2212yescomplemented
124#2616C2212yescomplemented
125#2615C2212yescomplemented
126#2615C2212yescomplemented
127#2610C2214yescomplemented
128#2602C2214yescomplemented
129#2602C2214yescomplemented
130#2600C2214yescomplemented
131#2592C2212yes—
132#2582C2212yescomplemented
133#2567C2212yescomplemented
134#2564C2214yescomplemented
135#2557C2214yes—
136#2552C2211yescharacteristic, complemented
137#2551C2212yescomplemented
138#2548C2212yes—
139#2548C2212yes—
140#2548C2212yescomplemented
141#2548C2211yescharacteristic, complemented
142#2547C2211yescharacteristic
143#2547C2211yescharacteristic, complemented
144#2544C2212yes—
145#2542C2211yescharacteristic
146#2542C2211yescharacteristic
147#2541C2212yes—
148#2541C2211yescharacteristic
149#2541C2211yescharacteristic
150#2541C2211yescharacteristic, complemented
151#2540C2212yes—
152#2540C2212yes—
153#2540C2212yescomplemented
154#2539C2214yes—
155#2538C2211yescharacteristic
156#2538C2212yescomplemented
157#2537C2212yescomplemented
158#2535C2212yes—
159#2535C2212yescomplemented
160#2535C2212yescomplemented
161#2533C2212yescomplemented
162#2531C2214yes—
163#2529C2214yescomplemented
164#2527C2212yescomplemented
165#2526C2214yescomplemented
166#2523C2212yes—
167#2514C2211yescharacteristic, complemented
168#2511C2212yescomplemented
169#2509C2211yescharacteristic, complemented
170#2501C2212yes—
171#2499C2211yescharacteristic
172#2499C2212yescomplemented
173#2497C2212yescomplemented
174#2497C2212yescomplemented
175#2496C2211yescharacteristic, complemented
176#2492C2212yescomplemented
177#2492C2211yescharacteristic, complemented
178#2491C2212yes—
179#2491C2212yes—
180#2490C2212yes—
181#2489C2212yes—
182#2485C2212yes—
183#2485C2211yescharacteristic
184#2485C2212yes—
185#2480C2214yes—
186#2472C2212yes—
187#2470C2214yes—
188#2467C2214yescomplemented
189#2466C2214yes—
190#2466C2212yes—
191#2464C2212yes—
192#2463C2214yescomplemented
193#2461C2212yes—
194#2461C2214yescomplemented
195#2459C2214yescomplemented
196#2456C2214yescomplemented
197#2455C2214yescomplemented
198#2454C2212yescomplemented
199#2452C2211yescharacteristic
200#2452C2214yescomplemented
201#2452C2212yescomplemented
202#2448C2212yes—
203#2448C2212yescomplemented
204#2447C2212yes—
205#2447C2212yescomplemented
206#2447C2212yescomplemented
207#2447C2214yescomplemented
208#2445C2212yes—
209#2445C2212yes—
210#2445C2211yescharacteristic
211#2444C2214yescomplemented
212#2440C2211yescharacteristic
213#2439C2211yescharacteristic
214#2436C2212yescomplemented
215#2435C2212yes—
216#2433C2211yescharacteristic
217#2433C2212yes—
218#2431C2212yes—
219#2431C2212yes—
220#2431C2212yescomplemented
221#2428C2212yes—
222#2428C2211yescharacteristic
223#2427C2212yes—
224#2427C2212yescomplemented
225#2427C2212yescomplemented
226#2427C2212yescomplemented
227#2426C2212yes—
228#2426C2212yescomplemented
229#2424C2212yes—
230#2423C2212yescomplemented
231#2422C2211yescharacteristic
232#2422C2212yescomplemented
233#2422C2212yescomplemented
234#2421C2212yescomplemented
235#2420C2212yes—
236#2420C2212yescomplemented
237#2416C2211yescharacteristic
238#2415C2211yescharacteristic
239#2415C2212yes—
240#2415C2212yescomplemented
241#2415C2212yescomplemented
242#2415C2212yescomplemented
243#2415C2212yescomplemented
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2214yescomplemented
248#2409C2212yescomplemented
249#2409C2212yescomplemented
250#2409C2212yescomplemented
251#2408C2211yescharacteristic
252#2407C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2401C2212yes—
256#2398C2212yes—
257#2397C2214yes—
258#2392C2212yes—
259#2388C2212yes—
260#2367C2212yes—
261#2366C2212yescomplemented
262#2365C2211yescharacteristic, complemented
263#2365C2211yescharacteristic, complemented
264#2363C2212yescomplemented
265#2360C2212yes—
266#2359C2214yescomplemented
267#2354C2212yes—
268#2354C2211yescharacteristic
269#2354C2212yescomplemented
270#2354C2211yescharacteristic, complemented
271#2349C2212yescomplemented
272#2346C2212yescomplemented
273#2341C2212yescomplemented
274#2339C2212yes—
275#2339C2212yescomplemented
276#2330C2212yescomplemented
277#2326C2212yescomplemented
278#2325C2214yescomplemented
279#2323C2212yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2212yes—
282C4×#127C2212yes—
283C4×#127C2211yescharacteristic
284C4×#127C2211yescharacteristic, complemented
285C4×#126C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#120C2212yes—
291#2295C2212yescomplemented
292#2295C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2293C2211yescharacteristic
295#2283C2211yescharacteristic, complemented
296#2280C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#556—44no—
306#555—48no—
307D4×Q8—44no—
308#548—48no—
309#536—48no—
310#532—44no—
311#532—44no—
312#532—44no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#126C2312yes—
326C2×#126C2314yes—
327C2×#125C2312yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339#525—48no—
340#525—48no—
341#525—48no—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2311yescharacteristic
380C2×#121C2311yescharacteristic
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#120C2312yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2312yes—
388C2×#120C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×D4—44no—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2314yes—
429C2×#117C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C22⋊C4C2312yes—
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434#401C2312yes—
435#400C2314yes—
436#400C2312yes—
437#400C2314yes—
438#400C2312yes—
439#400C2314yes—
440#400C2312yes—
441#400C2314yes—
442#400C2312yes—
443#400C2312yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2312yes—
480#397C2312yes—
481#397C2312yes—
482#397C2312yes—
483#397C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2312yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2312yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#394C2312yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#393C2312yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2312yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2312yes—
545#392C2312yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2312yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2312yes—
564#392C2312yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2314yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2311yescharacteristic
580#391C2312yes—
581#391C2312yes—
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2312yes—
586#390C2314yes—
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2311yescharacteristic
605#390C2314yes—
606#390C2312yes—
607#390C2314yes—
608#390C2311yescharacteristic
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2312yes—
617#390C2314yes—
618#390C2311yescharacteristic
619#390C2314yes—
620#390C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2314yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2314yes—
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2312yes—
695#387C2312yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#384C2311yescharacteristic
740#384C2312yes—
741#384C2312yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2312yes—
745#383C2312yes—
746#383C2312yes—
747#382C2314yes—
748#382C2312yes—
749#382C2312yes—
750#382C2311yescharacteristic
751#382C2311yescharacteristic
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#379C2314yes—
778#379C2312yes—
779#379C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816#376C2312yes—
817#376C2314yes—
818#376C2312yes—
819C2×#95C2314yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2414yes—
840C22×Q8C2412yes—
841C22×D4—42no—
842C22×D4—42no—
843C22×D4—42no—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C23×C4—28no—
869C23×C4—44no—
870C23×C4—44no—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2414yes—
886C23×C4C2414yes—
887C4⋊Q8—24no—
888C4⋊Q8—24no—
889C4⋊Q8—24no—
890C4⋊Q8—42no—
891C4⋊Q8—48no—
892C4⋊Q8—44no—
893#127—24no—
894#127—42no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—42no—
899#126—44no—
900#126—48no—
901#125—44no—
902#124—44no—
903#124—48no—
904#124—44no—
905#124—44no—
906#124—44no—
907#124—44no—
908#124—44no—
909#124—48no—
910#124—44no—
911#124—48no—
912#124—48no—
913#123—48no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—44no—
918#123—44no—
919#123—48no—
920C22⋊Q8—24no—
921C22⋊Q8—28no—
922C22⋊Q8—24no—
923C22⋊Q8—44no—
924C22⋊Q8—48no—
925C22⋊Q8—44no—
926C22⋊Q8—48no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935#121—28no—
936#121—44no—
937#121—44no—
938#121—48no—
939#121—48no—
940#121—42no—
941#121—48no—
942#121—42no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—42no—
947#121—44no—
948#121—42no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#120—44no—
956#120—48no—
957#120—48no—
958#120—44no—
959#120—44no—
960C4×Q8—24no—
961C4×Q8—44no—
962C4×Q8—44no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×D4—24no—
966C4×D4—28no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—44no—
971C4×D4—42no—
972C4×D4—48no—
973C4×D4—42no—
974C4×D4—42no—
975C4×D4—44no—
976C4×D4—48no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—42no—
986C4×D4—48no—
987C4×D4—48no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—48no—
993#117—24no—
994#117—24no—
995#117—28no—
996#117—44no—
997#117—48no—
998#117—44no—
999#117—44no—
1000C2×C4⋊C4—42no—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C22⋊C4—44no—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C42—24no—
1132C2×C42—24no—
1133C2×C42C2411yescharacteristic
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220C24—24no—
1221C24—42no—
1222C24—42no—
1223C24—42no—
1224C24—42no—
1225C24—42no—
1226C24—42no—
1227C24C2512yes—
1228C24C2512yes—
1229C24C2511yescharacteristic
1230C24C2512yes—
1231C24C2514yes—
1232C24C2511yescharacteristic
1233#41—816no—
1234#41—816no—
1235#41—816no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—24no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—44no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—816no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—416no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—28no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—28no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—44no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—816no—
1376C22×C4H(5,𝔽2)14yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2514yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2514yes—
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2514yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—41no—
1440C4⋊C4—41no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4H(5,𝔽2)14yes—
1462C22⋊C4—24no—
1463C22⋊C4—22no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—22no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—24no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—24no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
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—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—28no—
1542C42—24no—
1543C42—24no—
1544C42—22no—
1545C42—24no—
1546C42—22no—
1547C42—24no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—24no—
1552C42—24no—
1553C42—24no—
1554C42—42no—
1555C42—41no—
1556C42—44no—
1557C42—44no—
1558C42—44no—
1559C42—44no—
1560C42—42no—
1561C42H(5,𝔽2)14yes—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—24no—
1574C23—22no—
1575C23—21no—
1576C23—22no—
1577C23—22no—
1578C23—24no—
1579C23—22no—
1580C23—22no—
1581C23—24no—
1582C23—21no—
1583C23—21no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—24no—
1589C23—22no—
1590C23—21no—
1591C23—24no—
1592C23—22no—
1593C23—22no—
1594C23—21no—
1595C23—24no—
1596C23—22no—
1597C23—22no—
1598C23—21no—
1599C23—24no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—48no—
1604C23—84no—
1605C23—84no—
1606C23—84no—
1607C23—84no—
1608C23—84no—
1609C23—84no—
1610C23C2×H(5,𝔽2)12yes—
1611C23C2611yescharacteristic
1612Q8—48no—
1613Q8—44no—
1614Q8—48no—
1615Q8—84no—
1616Q8—88no—
1617Q8—84no—
1618D4—48no—
1619D4—44no—
1620D4—48no—
1621D4—44no—
1622D4—44no—
1623D4—44no—
1624D4—48no—
1625D4—48no—
1626D4—84no—
1627D4—88no—
1628D4—84no—
1629D4—88no—
1630D4—88no—
1631D4—88no—
1632D4—88no—
1633D4—84no—
1634D4—84no—
1635D4—84no—
1636D4—88no—
1637D4—88no—
1638D4—84no—
1639D4—84no—
1640D4—84no—
1641D4—164no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—28no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—48no—
1725C2×C4—44no—
1726C2×C4—88no—
1727C2×C4—82no—
1728C2×C4—82no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—88no—
1732C2×C4—84no—
1733C2×C4—88no—
1734C2×C4—88no—
1735C2×C4C2×H(5,𝔽2)14yes—
1736C2×C4C2×H(5,𝔽2)12yes—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4#58512yes—
1743C2×C4#58512yes—
1744C2×C4#58512yes—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—44no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—44no—
1762C22—41no—
1763C22—42no—
1764C22—44no—
1765C22—42no—
1766C22—42no—
1767C22—44no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—41no—
1772C22—42no—
1773C22—44no—
1774C22—42no—
1775C22—41no—
1776C22—42no—
1777C22—41no—
1778C22—44no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—41no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—816no—
1788C22C22×H(5,𝔽2)11yescharacteristic
1789C22C22×H(5,𝔽2)11yescharacteristic
1790C22C22×H(5,𝔽2)11yescharacteristic
1791C22C2×#58511yescharacteristic
1792C22C2×#58511yescharacteristic
1793C22C2×#58511yescharacteristic
1794C222−1+611yescharacteristic
1795C4—22no—
1796C4—22no—
1797C4—24no—
1798C4—22no—
1799C4—41no—
1800C4—41no—
1801C4—44no—
1802C4—42no—
1803C4—42no—
1804C4—41no—
1805C4—42no—
1806C4—44no—
1807C4—42no—
1808C4—41no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—44no—
1813C4—42no—
1814C4—42no—
1815C4—41no—
1816C4—42no—
1817C4—41no—
1818C4—41no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4#354014yes—
1823C4#354314yes—
1824C2—42no—
1825C2—81no—
1826C2—84no—
1827C2—82no—
1828C2—82no—
1829C2—82no—
1830C2C2×#354011yescharacteristic
1831C2C2×#354311yescharacteristic
1832C2#6275911yescharacteristic
1833C2#6292111yescharacteristic
1834C2#6292511yescharacteristic
1835C2#6296011yescharacteristic
1836C2#6301911yescharacteristic
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. #59822C2semidirect
2. #59478C2semidirect
3. #59080C2semidirect
4. #59049C2semidirect
5. #59018C2semidirect
6. #57426C2semidirect
7. #54810C2semidirect
8. #53151C2semidirect
9. #53116C2semidirect
10. #53044C2semidirect
11. #53000C2semidirect
12. #52681C2semidirect
13. #42995C2semidirect
14. #42838C2semidirect
15. #42778C2semidirect
16. #42635C2semidirect
17. #41078C2semidirect
18. #40153C2semidirect
19. #39860C2semidirect
20. #39808C2semidirect
21. #39343C2semidirect
22. #39200C2semidirect
23. #39167C2semidirect
24. #39156C2semidirect
25. #37659C2semidirect
26. #37629C2semidirect
27. #37625C2semidirect
28. #37618C2semidirect
29. #37445C2semidirect
30. #36315C2semidirect
31. #36161C2semidirect
32. #36149C2semidirect
33. #34936C2semidirect
34. #34803C2semidirect
35. #34681C2semidirect
37. C2×#555C22semidirect
38. C2×D4×Q8C22semidirect
40. C2×#536C22semidirect
43. C2×#532C22semidirect
48. #2862C22semidirect
49. #2861C22semidirect
51. #2857C22semidirect
53. #2838C22semidirect
54. #2830C22semidirect
55. #2830C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
63. #2815C22semidirect
67. #2803C22semidirect
68. #2803C22semidirect
69. #2797C22semidirect
70. #2780C22semidirect
71. #2777C22semidirect
72. #2773C22semidirect
73. #2773C22semidirect
74. #2754C22semidirect
76. #2752C22semidirect
77. #2749C22semidirect
78. #2742C22semidirect
79. #2740C22semidirect
80. #2737C22semidirect
81. #2733C22semidirect
82. #2723C22semidirect
83. #2723C22semidirect
85. #2714C22semidirect
86. #2714C22semidirect
87. #2710C22semidirect
88. #2710C22semidirect
90. #2705C22semidirect
92. #2703C22semidirect
100. #2674C22semidirect
101. #2672C22semidirect
107. #2649C22semidirect
109. #2644C22semidirect
110. #2644C22semidirect
113. #2640C22semidirect
114. #2640C22semidirect
115. #2638C22semidirect
116. #2638C22semidirect
117. #2635C22semidirect
118. #2631C22semidirect
119. #2630C22semidirect
120. #2628C22semidirect
121. #2625C22semidirect
122. #2624C22semidirect
123. #2620C22semidirect
124. #2616C22semidirect
125. #2615C22semidirect
126. #2615C22semidirect
127. #2610C22semidirect
128. #2602C22semidirect
129. #2602C22semidirect
130. #2600C22semidirect
132. #2582C22semidirect
133. #2567C22semidirect
134. #2564C22semidirect
136. #2552C22semidirect
137. #2551C22semidirect
140. #2548C22semidirect
141. #2548C22semidirect
143. #2547C22semidirect
150. #2541C22semidirect
153. #2540C22semidirect
156. #2538C22semidirect
157. #2537C22semidirect
159. #2535C22semidirect
160. #2535C22semidirect
161. #2533C22semidirect
163. #2529C22semidirect
164. #2527C22semidirect
165. #2526C22semidirect
167. #2514C22semidirect
168. #2511C22semidirect
169. #2509C22semidirect
172. #2499C22semidirect
173. #2497C22semidirect
174. #2497C22semidirect
175. #2496C22semidirect
176. #2492C22semidirect
177. #2492C22semidirect
188. #2467C22semidirect
192. #2463C22semidirect
194. #2461C22semidirect
195. #2459C22semidirect
196. #2456C22semidirect
197. #2455C22semidirect
198. #2454C22semidirect
200. #2452C22semidirect
201. #2452C22semidirect
203. #2448C22semidirect
205. #2447C22semidirect
206. #2447C22semidirect
207. #2447C22semidirect
211. #2444C22semidirect
214. #2436C22semidirect
220. #2431C22semidirect
224. #2427C22semidirect
225. #2427C22semidirect
226. #2427C22semidirect
228. #2426C22semidirect
230. #2423C22semidirect
232. #2422C22semidirect
233. #2422C22semidirect
234. #2421C22semidirect
236. #2420C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
243. #2415C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2409C22semidirect
249. #2409C22semidirect
250. #2409C22semidirect
261. #2366C22semidirect
262. #2365C22semidirect
263. #2365C22semidirect
264. #2363C22semidirect
266. #2359C22semidirect
269. #2354C22semidirect
270. #2354C22semidirect
271. #2349C22semidirect
272. #2346C22semidirect
273. #2341C22semidirect
275. #2339C22semidirect
276. #2330C22semidirect
277. #2326C22semidirect
278. #2325C22semidirect
279. #2323C22semidirect
280. C4×C4⋊Q8C22semidirect
284. C4×#127C22semidirect
285. C4×#126C22semidirect
287. C4×C22⋊Q8C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
295. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#598222
#594782
#590802
#590492
#590182
#574262
#548102
#531512
#531162
#530442
#530002
#526812
#429952
#428382
#427782
#426352
#410782
#401532
#398602
#398082
#393432
#392002
#391672
#391562
#376592
#376292
#376252
#376182
#374452
#363152
#361612
#361492
#349362
#348032
#346812