Finite Group Databasebeta

← #8552314

Subgroups — #8552314

Order 512.

6017 conjugacy classes of subgroups.

The subgroup lattice has 1665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59078C212yesmaximal, complemented
2#56669C214yesmaximal, complemented
3#56398C214yesmaximal, complemented
4#56397C214yesmaximal, complemented
5#55043C212yesmaximal, complemented
6#54923C214yesmaximal, complemented
7#53608C214yesmaximal, complemented
8#53018C211yesmaximal, characteristic, complemented
9#53000C212yesmaximal, complemented
10#52420C212yesmaximal, complemented
11#52257C211yesmaximal, characteristic, complemented
12#50655C214yesmaximal, complemented
13#47674C212yesmaximal, complemented
14#45996C211yesmaximal, characteristic, complemented
15#45103C211yesmaximal, characteristic, complemented
16#44891C212yesmaximal, complemented
17#42969C211yesmaximal, characteristic, complemented
18#42966C212yesmaximal, complemented
19#42842C212yesmaximal, complemented
20#42136C212yesmaximal, complemented
21#39433C212yesmaximal, complemented
22#39383C212yesmaximal, complemented
23#39174C211yesmaximal, characteristic, complemented
24#38249C212yesmaximal, complemented
25#37681C212yesmaximal, complemented
26#37492C212yesmaximal, complemented
27#37305C212yesmaximal, complemented
28#36091C211yesmaximal, characteristic, complemented
29#35513C212yesmaximal, complemented
30C22×H(5,𝔽2)C2211yescharacteristic, complemented
31C2×H(3,𝔽4)C2212yescomplemented
32C2×#557C2211yescharacteristic, complemented
33C2×#550C2211yescharacteristic
34C2×#550C2212yes—
35C2×#546C2212yescomplemented
36C2×#542C2212yescomplemented
37C2×#538C2214yescomplemented
38C2×#537C2212yes—
39C2×#535C2212yes—
40C2×#535C2211yescharacteristic, complemented
41C2×#532C2212yes—
42#2858C2211yescharacteristic, complemented
43#2858C2212yescomplemented
44#2856C2212yescomplemented
45#2842C2212yescomplemented
46#2830C2214yescomplemented
47#2829C2214yescomplemented
48#2829C2214yescomplemented
49#2829C2214yescomplemented
50#2828C2214yescomplemented
51#2825C2214yescomplemented
52#2823C2212yescomplemented
53#2819C2212yescomplemented
54#2815C2212yescomplemented
55#2813C2214yescomplemented
56#2813C2214yescomplemented
57#2812C2214yescomplemented
58#2799C2211yescharacteristic, complemented
59#2798C2212yescomplemented
60#2797C2212yescomplemented
61#2797C2214yescomplemented
62#2797C2214yescomplemented
63#2796C2212yescomplemented
64#2795C2212yescomplemented
65#2789C2211yescharacteristic, complemented
66#2786C2212yescomplemented
67#2784C2214yescomplemented
68#2782C2211yescharacteristic, complemented
69#2778C2212yescomplemented
70#2748C2214yescomplemented
71#2735C2212yescomplemented
72#2733C2212yescomplemented
73#2733C2214yescomplemented
74#2730C2212yescomplemented
75#2730C2214yescomplemented
76#2728C2211yescharacteristic, complemented
77#2717C2214yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2711C2214yescomplemented
84#2711C2214yescomplemented
85#2711C2214yescomplemented
86#2711C2214yescomplemented
87#2710C2214yescomplemented
88#2709C2214yescomplemented
89#2703C2214yescomplemented
90#2695C2214yescomplemented
91#2692C2214yescomplemented
92#2691C2214yescomplemented
93#2686C2214yescomplemented
94#2685C2214yescomplemented
95#2682C2214yescomplemented
96#2680C2212yescomplemented
97#2679C2214yescomplemented
98#2679C2214yescomplemented
99#2679C2212yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2678C2214yescomplemented
106#2676C2214yescomplemented
107#2676C2214yescomplemented
108#2676C2214yescomplemented
109#2675C2214yescomplemented
110#2675C2214yescomplemented
111#2672C2214yescomplemented
112#2671C2214yescomplemented
113#2671C2214yescomplemented
114#2670C2214yescomplemented
115#2670C2214yescomplemented
116#2670C2214yescomplemented
117#2670C2214yescomplemented
118#2669C2214yescomplemented
119#2669C2214yescomplemented
120#2669C2214yescomplemented
121#2668C2214yescomplemented
122#2668C2212yescomplemented
123#2668C2214yescomplemented
124#2662C2214yescomplemented
125#2662C2214yescomplemented
126#2661C2214yescomplemented
127#2657C2212yescomplemented
128#2656C2212yescomplemented
129#2653C2214yescomplemented
130#2651C2214yescomplemented
131#2644C2212yescomplemented
132#2641C2212yescomplemented
133#2640C2212yescomplemented
134#2635C2212yescomplemented
135#2626C2214yescomplemented
136#2624C2212yescomplemented
137#2624C2211yescharacteristic, complemented
138#2622C2214yescomplemented
139#2620C2212yescomplemented
140#2617C2214yescomplemented
141#2617C2214yescomplemented
142#2615C2212yes—
143#2615C2211yescharacteristic, complemented
144#2603C2214yescomplemented
145#2595C2214yescomplemented
146#2566C2212yescomplemented
147#2560C2214yescomplemented
148#2555C2214yescomplemented
149#2548C2211yescharacteristic, complemented
150#2548C2212yescomplemented
151#2548C2212yescomplemented
152#2548C2212yescomplemented
153#2548C2212yescomplemented
154#2545C2212yescomplemented
155#2545C2212yescomplemented
156#2544C2212yescomplemented
157#2544C2214yescomplemented
158#2543C2212yescomplemented
159#2542C2211yescharacteristic, complemented
160#2541C2212yescomplemented
161#2541C2212yescomplemented
162#2540C2214yescomplemented
163#2539C2214yescomplemented
164#2537C2212yescomplemented
165#2531C2214yescomplemented
166#2521C2214yescomplemented
167#2512C2212yescomplemented
168#2512C2212yescomplemented
169#2491C2212yescomplemented
170#2491C2212yescomplemented
171#2490C2214yescomplemented
172#2480C2214yescomplemented
173#2472C2214yescomplemented
174#2468C2214yescomplemented
175#2464C2214yescomplemented
176#2461C2214yescomplemented
177#2460C2214yescomplemented
178#2460C2214yescomplemented
179#2456C2214yescomplemented
180#2456C2214yescomplemented
181#2454C2214yescomplemented
182#2451C2212yescomplemented
183#2450C2214yescomplemented
184#2448C2212yescomplemented
185#2448C2212yescomplemented
186#2445C2212yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2440C2212yescomplemented
190#2437C2212yescomplemented
191#2435C2212yescomplemented
192#2435C2212yescomplemented
193#2433C2212yes—
194#2433C2212yes—
195#2433C2214yes—
196#2433C2212yes—
197#2433C2211yescharacteristic, complemented
198#2433C2212yescomplemented
199#2433C2212yescomplemented
200#2433C2211yescharacteristic, complemented
201#2432C2212yescomplemented
202#2432C2212yescomplemented
203#2432C2212yescomplemented
204#2432C2212yescomplemented
205#2431C2212yes—
206#2431C2212yes—
207#2431C2212yescomplemented
208#2428C2212yescomplemented
209#2427C2212yescomplemented
210#2426C2212yescomplemented
211#2426C2212yescomplemented
212#2426C2212yescomplemented
213#2426C2214yescomplemented
214#2425C2214yescomplemented
215#2424C2214yescomplemented
216#2424C2214yescomplemented
217#2424C2214yescomplemented
218#2424C2214yescomplemented
219#2424C2214yescomplemented
220#2423C2212yescomplemented
221#2417C2212yescomplemented
222#2410C2214yescomplemented
223#2410C2214yescomplemented
224#2410C2214yescomplemented
225#2410C2214yescomplemented
226#2408C2211yescharacteristic
227#2408C2212yes—
228#2408C2212yescomplemented
229#2408C2211yescharacteristic, complemented
230#2408C2214yescomplemented
231#2408C2214yescomplemented
232#2408C2214yescomplemented
233#2407C2214yescomplemented
234#2407C2214yescomplemented
235#2401C2212yescomplemented
236#2395C2211yescharacteristic, complemented
237#2395C2212yescomplemented
238#2388C2211yescharacteristic
239#2388C2212yescomplemented
240#2367C2214yescomplemented
241#2365C2212yescomplemented
242#2361C2212yescomplemented
243#2361C2212yescomplemented
244#2341C2212yescomplemented
245#2341C2211yescharacteristic, complemented
246#2341C2212yescomplemented
247#2339C2211yescharacteristic, complemented
248#2326C2212yescomplemented
249#2326C2212yescomplemented
250#2311C2212yescomplemented
251C4×#124C2211yescharacteristic, complemented
252C4×C22⋊Q8C2212yescomplemented
253C4×C22⋊Q8C2212yescomplemented
254#2298C2212yescomplemented
255#2297C2212yescomplemented
256#2295C2211yescharacteristic, complemented
257C2×#390C2212yescomplemented
258#2290C2212yescomplemented
259C2×H(5,𝔽2)—48no—
260C2×H(5,𝔽2)—44no—
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2312yes—
267C23×D4C2312yes—
268C23×D4C2311yescharacteristic
269C23×D4C2314yes—
270C23×D4C2312yes—
271C23×D4C2311yescharacteristic
272H(3,𝔽4)—48no—
273#557—44no—
274#550—48no—
275#550—44no—
276#546—48no—
277#542—48no—
278#538—416no—
279#537—48no—
280#535—48no—
281#535—44no—
282#532—48no—
283C2×C4⋊Q8C2312yes—
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2311yescharacteristic
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2311yescharacteristic
289C2×#127C2312yes—
290C2×#127C2312yes—
291C2×#127C2314yes—
292C2×#127C2312yes—
293C2×#127C2312yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#126C2314yes—
297C2×#125C2312yes—
298C2×#125C2314yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2314yes—
302C2×#124C2311yescharacteristic
303C2×#124C2314yes—
304C2×#124C2312yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#124C2314yes—
309C2×#124C2314yes—
310C2×#124C2314yes—
311C2×#124C2312yes—
312C2×#124C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2311yescharacteristic
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#120C2312yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2312yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2314yes—
391C22×C42C2312yes—
392#401C2312yes—
393#400C2312yes—
394#400C2311yescharacteristic
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#399C2312yes—
399#399C2314yes—
400#399C2314yes—
401#399C2311yescharacteristic
402#399C2312yes—
403#399C2312yes—
404#399C2314yes—
405#399C2312yes—
406#399C2314yes—
407#398C2314yes—
408#398C2311yescharacteristic
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2312yes—
427#397C2312yes—
428#397C2312yes—
429#397C2311yescharacteristic
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#395C2314yes—
448#395C2311yescharacteristic
449#395C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2311yescharacteristic
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2311yescharacteristic
502#393C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2314yes—
518#392C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2312yes—
522#392C2314yes—
523#392C2311yescharacteristic
524#392C2312yes—
525#392C2314yes—
526#392C2312yes—
527#392C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#391C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#384C2312yes—
679#384C2312yes—
680#382C2311yescharacteristic
681#381C2312yes—
682#380C2314yes—
683#380C2314yes—
684#380C2311yescharacteristic
685#380C2312yes—
686#380C2312yes—
687#380C2314yes—
688#380C2311yescharacteristic
689#380C2314yes—
690#380C2312yes—
691#380C2314yes—
692#380C2314yes—
693#379C2312yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2312yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2311yescharacteristic
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721#376C2312yes—
722#376C2312yes—
723C2×#95C2312yes—
724C43C2311yescharacteristic
725C25C2414yes—
726C25C2412yes—
727C25C2412yes—
728H(5,𝔽2)—464no—
729C2×#41—28no—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—28no—
733C2×#41—28no—
734C2×#41—28no—
735C2×#41—42no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—48no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—44no—
742C2×#41—44no—
743C22×Q8C2412yes—
744C22×Q8C2411yescharacteristic
745C22×Q8C2411yescharacteristic
746C22×Q8C2414yes—
747C22×Q8C2411yescharacteristic
748C22×D4—28no—
749C22×D4—44no—
750C22×D4—44no—
751C22×D4—48no—
752C22×D4—48no—
753C22×D4—44no—
754C22×D4—42no—
755C22×D4—44no—
756C22×D4—42no—
757C22×D4—44no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4C2411yescharacteristic
761C22×D4C2412yes—
762C22×D4C2411yescharacteristic
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2412yes—
792C22×D4C2412yes—
793C23×C4C2411yescharacteristic
794C23×C4C2411yescharacteristic
795C23×C4C2414yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2414yes—
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2412yes—
803C23×C4C2414yes—
804C23×C4C2414yes—
805C4⋊Q8—28no—
806C4⋊Q8—44no—
807C4⋊Q8—42no—
808#127—44no—
809#127—44no—
810#127—44no—
811#127—44no—
812#127—44no—
813#127—44no—
814#127—42no—
815#127—48no—
816#126—48no—
817#126—48no—
818#126—48no—
819#125—44no—
820#125—48no—
821#124—28no—
822#124—28no—
823#124—216no—
824#124—24no—
825#124—48no—
826#124—48no—
827#124—48no—
828#124—44no—
829#124—44no—
830#124—44no—
831#124—44no—
832#124—44no—
833#124—48no—
834#124—84no—
835#123—48no—
836#123—48no—
837#123—48no—
838#123—48no—
839#123—84no—
840C22⋊Q8—28no—
841C22⋊Q8—28no—
842C22⋊Q8—48no—
843C22⋊Q8—48no—
844C22⋊Q8—44no—
845C22⋊Q8—44no—
846C22⋊Q8—84no—
847#121—28no—
848#121—28no—
849#121—44no—
850#121—44no—
851#121—48no—
852#121—48no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—44no—
865#121—42no—
866#121—42no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—84no—
871#121—84no—
872#121—84no—
873#121—84no—
874#120—48no—
875#120—48no—
876#120—48no—
877#120—48no—
878#120—44no—
879#120—48no—
880#120—44no—
881#120—48no—
882#120—48no—
883#120—48no—
884#120—84no—
885#120—84no—
886#120—84no—
887#120—84no—
888#120—84no—
889#120—84no—
890#120—84no—
891C4×Q8—24no—
892C4×Q8—42no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×D4—28no—
898C4×D4—48no—
899C4×D4—48no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—42no—
904C4×D4—48no—
905C4×D4—48no—
906C4×D4—48no—
907#117—28no—
908#117—42no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C22⋊C4—48no—
950C2×C22⋊C4—48no—
951C2×C22⋊C4—84no—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C42—44no—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2411yescharacteristic
1057#95C2414yes—
1058#95C2411yescharacteristic
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090C24—28no—
1091C24—44no—
1092C24—44no—
1093C24—42no—
1094C24—44no—
1095C24—44no—
1096C24—42no—
1097C24—44no—
1098C24—44no—
1099C24—42no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—42no—
1104C24—42no—
1105C24—44no—
1106C24—42no—
1107C24C2512yes—
1108C24C2514yes—
1109C24C2511yescharacteristic
1110C24C2511yescharacteristic
1111C24C2514yes—
1112C24C2512yes—
1113C24C2512yes—
1114#41—416no—
1115#41—432no—
1116#41—416no—
1117#41—432no—
1118#41—816no—
1119#41—88no—
1120C2×Q8—24no—
1121C2×Q8—24no—
1122C2×Q8—24no—
1123C2×Q8—24no—
1124C2×Q8—24no—
1125C2×Q8—41no—
1126C2×Q8—41no—
1127C2×Q8—41no—
1128C2×Q8—44no—
1129C2×Q8—44no—
1130C2×Q8—44no—
1131C2×Q8H(5,𝔽2)14yes—
1132C2×Q8H(5,𝔽2)14yescomplemented
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—28no—
1136C2×D4—24no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—24no—
1148C2×D4—22no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—22no—
1155C2×D4—28no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—41no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—432no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—41no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—41no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—464no—
1224C2×D4—432no—
1225C2×D4—416no—
1226C2×D4—88no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4H(5,𝔽2)18yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2514yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—41no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—22no—
1403C42—28no—
1404C42—22no—
1405C42—42no—
1406C42—42no—
1407C42—41no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—42no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—24no—
1420C23—21no—
1421C23—21no—
1422C23—24no—
1423C23—22no—
1424C23—24no—
1425C23—24no—
1426C23—24no—
1427C23—22no—
1428C23—21no—
1429C23—24no—
1430C23—22no—
1431C23—24no—
1432C23—24no—
1433C23—24no—
1434C23—22no—
1435C23—22no—
1436C23—21no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—24no—
1441C23—24no—
1442C23—22no—
1443C23—24no—
1444C23—22no—
1445C23—24no—
1446C23—21no—
1447C23—22no—
1448C23—24no—
1449C23—21no—
1450C23—24no—
1451C23—22no—
1452C23—416no—
1453C23—48no—
1454C23—88no—
1455C23—88no—
1456C23—84no—
1457C23—88no—
1458C23—164no—
1459C23—164no—
1460C23—164no—
1461C23—164no—
1462C23—162no—
1463C23—162no—
1464C23—164no—
1465C23—162no—
1466C23—162no—
1467C23—164no—
1468C23—164no—
1469C23C2×H(5,𝔽2)14yes—
1470C23C2611yescharacteristic
1471Q8—28no—
1472Q8—44no—
1473Q8—44no—
1474Q8—48no—
1475Q8—164no—
1476D4—48no—
1477D4—416no—
1478D4—416no—
1479D4—48no—
1480D4—44no—
1481D4—48no—
1482D4—44no—
1483D4—48no—
1484D4—48no—
1485D4—44no—
1486D4—88no—
1487D4—84no—
1488D4—82no—
1489D4—84no—
1490D4—84no—
1491D4—88no—
1492D4—88no—
1493D4—88no—
1494D4—88no—
1495D4—88no—
1496D4—84no—
1497D4—164no—
1498D4—162no—
1499D4—162no—
1500D4—162no—
1501D4—164no—
1502D4—164no—
1503D4—164no—
1504D4—164no—
1505D4—164no—
1506D4—164no—
1507D4—164no—
1508D4—164no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—216no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—416no—
1565C2×C4—48no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—84no—
1569C2×C4—88no—
1570C2×C4—84no—
1571C2×C4—84no—
1572C2×C4—164no—
1573C2×C4—164no—
1574C2×C4—164no—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×H(5,𝔽2)14yes—
1577C2×C4C2×H(5,𝔽2)14yes—
1578C2×C4C2×H(5,𝔽2)14yes—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C2×C4C2×H(5,𝔽2)14yes—
1581C22—24no—
1582C22—24no—
1583C22—24no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—44no—
1589C22—44no—
1590C22—42no—
1591C22—41no—
1592C22—42no—
1593C22—41no—
1594C22—44no—
1595C22—42no—
1596C22—44no—
1597C22—44no—
1598C22—44no—
1599C22—44no—
1600C22—44no—
1601C22—42no—
1602C22—42no—
1603C22—44no—
1604C22—42no—
1605C22—44no—
1606C22—41no—
1607C22—41no—
1608C22—44no—
1609C22—44no—
1610C22—44no—
1611C22—44no—
1612C22—42no—
1613C22—42no—
1614C22—44no—
1615C22—44no—
1616C22—44no—
1617C22—42no—
1618C22—41no—
1619C22—41no—
1620C22—44no—
1621C22—42no—
1622C22—1616no—
1623C22—168no—
1624C22—168no—
1625C22C22×H(5,𝔽2)11yescharacteristic
1626C22C22×H(5,𝔽2)12yes—
1627C22C22×H(5,𝔽2)11yescharacteristic
1628C22H(7,𝔽2)12yes—
1629C222−1+611yescharacteristic
1630C4—24no—
1631C4—22no—
1632C4—24no—
1633C4—24no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—41no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—44no—
1643C4—42no—
1644C4—42no—
1645C4—44no—
1646C4—44no—
1647C4—42no—
1648C4—41no—
1649C4—41no—
1650C4—44no—
1651C4#353214yes—
1652C2—44no—
1653C2—82no—
1654C2—84no—
1655C2—84no—
1656C2—81no—
1657C2—82no—
1658C2—81no—
1659C2C2×#353211yescharacteristic
1660C2#6287812yes—
1661C2#6289511yescharacteristic
1662C2#6291612yes—
1663C2#6306611yescharacteristic
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. #59078C2semidirect
2. #56669C2semidirect
3. #56398C2semidirect
4. #56397C2semidirect
5. #55043C2semidirect
6. #54923C2semidirect
7. #53608C2semidirect
8. #53018C2semidirect
9. #53000C2semidirect
10. #52420C2semidirect
11. #52257C2semidirect
12. #50655C2semidirect
13. #47674C2semidirect
14. #45996C2semidirect
15. #45103C2semidirect
16. #44891C2semidirect
17. #42969C2semidirect
18. #42966C2semidirect
19. #42842C2semidirect
20. #42136C2semidirect
21. #39433C2semidirect
22. #39383C2semidirect
23. #39174C2semidirect
24. #38249C2semidirect
25. #37681C2semidirect
26. #37492C2semidirect
27. #37305C2semidirect
28. #36091C2semidirect
29. #35513C2semidirect
30. C22×H(5,𝔽2)C22semidirect
31. C2×H(3,𝔽4)C22semidirect
32. C2×#557C22semidirect
35. C2×#546C22semidirect
36. C2×#542C22semidirect
37. C2×#538C22semidirect
40. C2×#535C22semidirect
42. #2858C22semidirect
43. #2858C22semidirect
44. #2856C22semidirect
45. #2842C22semidirect
46. #2830C22semidirect
47. #2829C22semidirect
48. #2829C22semidirect
49. #2829C22semidirect
50. #2828C22semidirect
51. #2825C22semidirect
52. #2823C22semidirect
53. #2819C22semidirect
54. #2815C22semidirect
55. #2813C22semidirect
56. #2813C22semidirect
57. #2812C22semidirect
58. #2799C22semidirect
59. #2798C22semidirect
60. #2797C22semidirect
61. #2797C22semidirect
62. #2797C22semidirect
63. #2796C22semidirect
64. #2795C22semidirect
65. #2789C22semidirect
66. #2786C22semidirect
67. #2784C22semidirect
68. #2782C22semidirect
69. #2778C22semidirect
70. #2748C22semidirect
71. #2735C22semidirect
72. #2733C22semidirect
73. #2733C22semidirect
74. #2730C22semidirect
75. #2730C22semidirect
76. #2728C22semidirect
77. #2717C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2711C22semidirect
84. #2711C22semidirect
85. #2711C22semidirect
86. #2711C22semidirect
87. #2710C22semidirect
88. #2709C22semidirect
89. #2703C22semidirect
90. #2695C22semidirect
91. #2692C22semidirect
92. #2691C22semidirect
93. #2686C22semidirect
94. #2685C22semidirect
95. #2682C22semidirect
96. #2680C22semidirect
97. #2679C22semidirect
98. #2679C22semidirect
99. #2679C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2678C22semidirect
106. #2676C22semidirect
107. #2676C22semidirect
108. #2676C22semidirect
109. #2675C22semidirect
110. #2675C22semidirect
111. #2672C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
114. #2670C22semidirect
115. #2670C22semidirect
116. #2670C22semidirect
117. #2670C22semidirect
118. #2669C22semidirect
119. #2669C22semidirect
120. #2669C22semidirect
121. #2668C22semidirect
122. #2668C22semidirect
123. #2668C22semidirect
124. #2662C22semidirect
125. #2662C22semidirect
126. #2661C22semidirect
127. #2657C22semidirect
128. #2656C22semidirect
129. #2653C22semidirect
130. #2651C22semidirect
131. #2644C22semidirect
132. #2641C22semidirect
133. #2640C22semidirect
134. #2635C22semidirect
135. #2626C22semidirect
136. #2624C22semidirect
137. #2624C22semidirect
138. #2622C22semidirect
139. #2620C22semidirect
140. #2617C22semidirect
141. #2617C22semidirect
143. #2615C22semidirect
144. #2603C22semidirect
145. #2595C22semidirect
146. #2566C22semidirect
147. #2560C22semidirect
148. #2555C22semidirect
149. #2548C22semidirect
150. #2548C22semidirect
151. #2548C22semidirect
152. #2548C22semidirect
153. #2548C22semidirect
154. #2545C22semidirect
155. #2545C22semidirect
156. #2544C22semidirect
157. #2544C22semidirect
158. #2543C22semidirect
159. #2542C22semidirect
160. #2541C22semidirect
161. #2541C22semidirect
162. #2540C22semidirect
163. #2539C22semidirect
164. #2537C22semidirect
165. #2531C22semidirect
166. #2521C22semidirect
167. #2512C22semidirect
168. #2512C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2490C22semidirect
172. #2480C22semidirect
173. #2472C22semidirect
174. #2468C22semidirect
175. #2464C22semidirect
176. #2461C22semidirect
177. #2460C22semidirect
178. #2460C22semidirect
179. #2456C22semidirect
180. #2456C22semidirect
181. #2454C22semidirect
182. #2451C22semidirect
183. #2450C22semidirect
184. #2448C22semidirect
185. #2448C22semidirect
186. #2445C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2440C22semidirect
190. #2437C22semidirect
191. #2435C22semidirect
192. #2435C22semidirect
197. #2433C22semidirect
198. #2433C22semidirect
199. #2433C22semidirect
200. #2433C22semidirect
201. #2432C22semidirect
202. #2432C22semidirect
203. #2432C22semidirect
204. #2432C22semidirect
207. #2431C22semidirect
208. #2428C22semidirect
209. #2427C22semidirect
210. #2426C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
213. #2426C22semidirect
214. #2425C22semidirect
215. #2424C22semidirect
216. #2424C22semidirect
217. #2424C22semidirect
218. #2424C22semidirect
219. #2424C22semidirect
220. #2423C22semidirect
221. #2417C22semidirect
222. #2410C22semidirect
223. #2410C22semidirect
224. #2410C22semidirect
225. #2410C22semidirect
228. #2408C22semidirect
229. #2408C22semidirect
230. #2408C22semidirect
231. #2408C22semidirect
232. #2408C22semidirect
233. #2407C22semidirect
234. #2407C22semidirect
235. #2401C22semidirect
236. #2395C22semidirect
237. #2395C22semidirect
239. #2388C22semidirect
240. #2367C22semidirect
241. #2365C22semidirect
242. #2361C22semidirect
243. #2361C22semidirect
244. #2341C22semidirect
245. #2341C22semidirect
246. #2341C22semidirect
247. #2339C22semidirect
248. #2326C22semidirect
249. #2326C22semidirect
250. #2311C22semidirect
251. C4×#124C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×C22⋊Q8C22semidirect
254. #2298C22semidirect
255. #2297C22semidirect
256. #2295C22semidirect
257. C2×#390C22semidirect
258. #2290C22semidirect
1132. C2×Q8H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#590782
#566692
#563982
#563972
#550432
#549232
#536082
#530182
#530002
#524202
#522572
#506552
#476742
#459962
#451032
#448912
#429692
#429662
#428422
#421362
#394332
#393832
#391742
#382492
#376812
#374922
#373052
#360912
#355132