Finite Group Databasebeta

← #8750055

Subgroups — #8750055

Order 512.

5949 conjugacy classes of subgroups.

The subgroup lattice has 1703 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59894C212yesmaximal, complemented
2#59841C211yesmaximal, characteristic, complemented
3#58003C214yesmaximal, complemented
4#57180C214yesmaximal, complemented
5#54942C214yesmaximal, complemented
6#53501C214yesmaximal, complemented
7#53493C212yesmaximal, complemented
8#53116C212yesmaximal, complemented
9#52986C211yesmaximal, characteristic, complemented
10#52969C212yesmaximal, complemented
11#52325C214yesmaximal, complemented
12#47794C212yesmaximal, complemented
13#45408C211yesmaximal, characteristic, complemented
14#45020C212yesmaximal, complemented
15#44886C212yesmaximal, complemented
16#44870C212yesmaximal, complemented
17#44868C212yesmaximal, complemented
18#42986C212yesmaximal, complemented
19#42963C212yesmaximal, complemented
20#42963C214yesmaximal, complemented
21#42484C211yesmaximal, characteristic, complemented
22#42483C212yesmaximal, complemented
23#42433C212yesmaximal, complemented
24#42222C212yesmaximal, complemented
25#39745C211yesmaximal, characteristic, complemented
26#39361C212yesmaximal, complemented
27#36694C211yesmaximal, characteristic, complemented
28#36051C211yesmaximal, characteristic, complemented
29#35941C212yesmaximal, complemented
30C2×#559C2211yescharacteristic, complemented
31C2×#555C2212yescomplemented
32C2×#555C2211yescharacteristic, complemented
33C2×#553C2212yescomplemented
34C2×#550C2211yescharacteristic, complemented
35C2×#550C2212yescomplemented
36C2×#546C2212yescomplemented
37C2×D42C2211yescharacteristic
38C2×D42C2212yescomplemented
39C2×#537C2212yescomplemented
40C2×#535C2212yes—
41C2×#535C2212yescomplemented
42C2×#535C2214yescomplemented
43#2867C2211yescharacteristic
44#2844C2211yescharacteristic, complemented
45#2832C2212yescomplemented
46#2832C2212yescomplemented
47#2832C2212yescomplemented
48#2828C2212yescomplemented
49#2828C2212yescomplemented
50#2828C2211yescharacteristic, complemented
51#2828C2211yescharacteristic, complemented
52#2828C2214yescomplemented
53#2828C2212yescomplemented
54#2828C2212yescomplemented
55#2824C2214yescomplemented
56#2819C2211yescharacteristic
57#2819C2212yescomplemented
58#2819C2214yescomplemented
59#2819C2214yescomplemented
60#2818C2214yescomplemented
61#2815C2214yescomplemented
62#2815C2214yescomplemented
63#2813C2212yescomplemented
64#2812C2214yescomplemented
65#2812C2214yescomplemented
66#2803C2214yescomplemented
67#2803C2214yescomplemented
68#2781C2214yescomplemented
69#2775C2214yescomplemented
70#2756C2214yescomplemented
71#2753C2214yescomplemented
72#2733C2212yescomplemented
73#2731C2212yescomplemented
74#2723C2214yescomplemented
75#2714C2214yescomplemented
76#2703C2214yescomplemented
77#2703C2214yescomplemented
78#2699C2212yescomplemented
79#2699C2214yescomplemented
80#2699C2212yescomplemented
81#2696C2214yescomplemented
82#2686C2214yescomplemented
83#2684C2214yescomplemented
84#2684C2214yescomplemented
85#2679C2214yescomplemented
86#2679C2212yescomplemented
87#2679C2212yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2676C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2672C2214yescomplemented
98#2670C2214yescomplemented
99#2670C2214yescomplemented
100#2670C2214yescomplemented
101#2670C2214yescomplemented
102#2670C2214yescomplemented
103#2670C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2669C2214yescomplemented
109#2669C2214yescomplemented
110#2669C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2669C2214yescomplemented
119#2668C2214yescomplemented
120#2662C2214yescomplemented
121#2661C2212yescomplemented
122#2661C2214yescomplemented
123#2657C2211yescharacteristic
124#2657C2212yescomplemented
125#2657C2214yescomplemented
126#2641C2212yescomplemented
127#2640C2211yescharacteristic, complemented
128#2635C2214yescomplemented
129#2635C2212yescomplemented
130#2631C2214yescomplemented
131#2619C2214yescomplemented
132#2619C2214yescomplemented
133#2619C2214yescomplemented
134#2617C2214yescomplemented
135#2615C2214yescomplemented
136#2615C2212yescomplemented
137#2613C2212yescomplemented
138#2610C2214yescomplemented
139#2610C2214yescomplemented
140#2610C2214yescomplemented
141#2609C2212yescomplemented
142#2593C2212yescomplemented
143#2593C2214yescomplemented
144#2592C2212yescomplemented
145#2584C2212yescomplemented
146#2572C2212yescomplemented
147#2559C2214yescomplemented
148#2559C2214yescomplemented
149#2557C2214yescomplemented
150#2555C2214yescomplemented
151#2548C2211yescharacteristic
152#2548C2211yescharacteristic, complemented
153#2548C2212yescomplemented
154#2546C2211yescharacteristic, complemented
155#2544C2212yescomplemented
156#2543C2214yescomplemented
157#2543C2212yescomplemented
158#2541C2212yes—
159#2541C2212yescomplemented
160#2541C2211yescharacteristic, complemented
161#2541C2214yescomplemented
162#2541C2212yescomplemented
163#2541C2212yescomplemented
164#2541C2214yescomplemented
165#2540C2211yescharacteristic
166#2540C2211yescharacteristic, complemented
167#2531C2214yescomplemented
168#2526C2214yescomplemented
169#2518C2214yescomplemented
170#2513C2214yescomplemented
171#2498C2212yescomplemented
172#2491C2212yescomplemented
173#2491C2214yescomplemented
174#2491C2212yescomplemented
175#2491C2214yescomplemented
176#2490C2212yescomplemented
177#2490C2212yescomplemented
178#2490C2212yescomplemented
179#2489C2212yescomplemented
180#2476C2214yescomplemented
181#2472C2214yescomplemented
182#2461C2214yescomplemented
183#2459C2214yescomplemented
184#2435C2212yescomplemented
185#2433C2212yes—
186#2433C2212yes—
187#2433C2214yescomplemented
188#2433C2214yescomplemented
189#2433C2212yescomplemented
190#2433C2214yescomplemented
191#2433C2212yescomplemented
192#2433C2212yescomplemented
193#2431C2212yescomplemented
194#2431C2212yescomplemented
195#2431C2212yescomplemented
196#2431C2214yescomplemented
197#2430C2214yescomplemented
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yescomplemented
201#2428C2212yescomplemented
202#2428C2214yescomplemented
203#2428C2212yescomplemented
204#2428C2214yescomplemented
205#2428C2214yescomplemented
206#2428C2212yescomplemented
207#2428C2212yescomplemented
208#2428C2212yescomplemented
209#2428C2212yescomplemented
210#2427C2212yescomplemented
211#2427C2212yescomplemented
212#2426C2212yescomplemented
213#2424C2214yescomplemented
214#2424C2214yescomplemented
215#2420C2214yescomplemented
216#2416C2212yescomplemented
217#2416C2212yescomplemented
218#2415C2212yescomplemented
219#2414C2212yes—
220#2414C2212yescomplemented
221#2414C2212yescomplemented
222#2414C2214yescomplemented
223#2414C2214yescomplemented
224#2410C2214yescomplemented
225#2408C2214yescomplemented
226#2408C2212yescomplemented
227#2408C2212yescomplemented
228#2408C2212yescomplemented
229#2407C2212yescomplemented
230#2404C2214yescomplemented
231#2403C2214yescomplemented
232#2398C2211yescharacteristic, complemented
233#2398C2212yescomplemented
234#2398C2211yescharacteristic, complemented
235#2398C2212yescomplemented
236#2395C2212yescomplemented
237#2388C2212yescomplemented
238#2388C2212yescomplemented
239#2388C2212yescomplemented
240#2388C2214yescomplemented
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2362C2212yescomplemented
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2347C2212yescomplemented
248#2346C2212yescomplemented
249#2346C2214yescomplemented
250#2344C2212yescomplemented
251#2328C2212yescomplemented
252#2319C2212yescomplemented
253#2319C2211yescharacteristic, complemented
254C4×#124C2211yescharacteristic, complemented
255C4×#124C2212yescomplemented
256#2295C2211yescharacteristic, complemented
257#2293C2212yescomplemented
258#2275C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2314yes—
262C23×D4C2312yes—
263C23×D4C2312yes—
264C23×D4C2314yes—
265C23×D4C2312yes—
266#559—44no—
267#555—44no—
268#555—48no—
269#553—48no—
270#550—48no—
271#550—44no—
272#546—48no—
273D42—44no—
274D42—48no—
275#537—48no—
276#535—48no—
277#535—48no—
278#535—416no—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2312yes—
281C2×#127C2312yes—
282C2×#127C2314yes—
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2311yescharacteristic
286C2×#127C2311yescharacteristic
287C2×#127C2314yes—
288C2×#127C2314yes—
289C2×#127C2312yes—
290C2×#127C2311yescharacteristic
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2312yes—
294C2×#127C2314yes—
295C2×#127C2314yes—
296C2×#127C2312yes—
297C2×#127C2314yes—
298C2×#126C2314yes—
299C2×#125C2312yes—
300C2×#124C2312yes—
301C2×#124C2311yescharacteristic
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2312yes—
307C2×#124C2314yes—
308C2×#124C2311yescharacteristic
309C2×#124C2311yescharacteristic
310C2×#124C2312yes—
311C2×#124C2312yes—
312C2×#124C2314yes—
313C2×#124C2312yes—
314C2×#123C2312yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
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×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2314yes—
396C2×#117C2314yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2314yes—
400C2×#117C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C22⋊C4C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2311yescharacteristic
406#400C2311yescharacteristic
407#400C2311yescharacteristic
408#400C2311yescharacteristic
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#399C2312yes—
413#399C2312yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2312yes—
421#397C2312yes—
422#397C2312yes—
423#397C2312yes—
424#397C2312yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#395C2312yes—
437#395C2312yes—
438#395C2312yes—
439#395C2314yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2311yescharacteristic
447#394C2311yescharacteristic
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2311yescharacteristic
465#394C2314yes—
466#394C2311yescharacteristic
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#393C2312yes—
496#393C2312yes—
497#393C2312yes—
498#393C2314yes—
499#393C2312yes—
500#393C2314yes—
501#393C2314yes—
502#393C2312yes—
503#393C2312yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2312yes—
508#393C2312yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2312yes—
516#392C2312yes—
517#392C2312yes—
518#392C2314yes—
519#392C2312yes—
520#392C2312yes—
521#392C2312yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2312yes—
530#392C2312yes—
531#392C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2312yes—
542#392C2314yes—
543#392C2312yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2312yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#391C2312yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2312yes—
568#391C2312yes—
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2312yes—
599#390C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2312yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#383C2314yes—
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2314yes—
680#382C2314yes—
681#381C2314yes—
682#381C2312yes—
683#381C2314yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2314yes—
689#380C2312yes—
690#380C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2311yescharacteristic
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719#376C2311yescharacteristic
720#376C2312yes—
721#376C2314yes—
722#376C2311yescharacteristic
723C2×#95C2312yes—
724C43C2311yescharacteristic
725C25C2414yes—
726C25C2414yes—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—48no—
731C2×#41—48no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—84no—
736C22×Q8C2411yescharacteristic
737C22×Q8C2411yescharacteristic
738C22×Q8C2412yes—
739C22×Q8C2412yes—
740C22×Q8C2412yes—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4—48no—
744C22×D4—48no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—84no—
751C22×D4—84no—
752C22×D4C2411yescharacteristic
753C22×D4C2411yescharacteristic
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2411yescharacteristic
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2411yescharacteristic
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2414yes—
799C23×C4C2414yes—
800C23×C4C2414yes—
801C23×C4C2412yes—
802C23×C4C2414yes—
803C23×C4C2412yes—
804C23×C4C2414yes—
805C4⋊Q8—42no—
806C4⋊Q8—44no—
807#127—28no—
808#127—48no—
809#127—48no—
810#127—48no—
811#127—42no—
812#127—44no—
813#127—44no—
814#127—44no—
815#127—44no—
816#127—44no—
817#127—42no—
818#127—42no—
819#127—84no—
820#127—82no—
821#127—84no—
822#127—82no—
823#127—84no—
824#126—48no—
825#125—44no—
826#124—28no—
827#124—24no—
828#124—48no—
829#124—48no—
830#124—48no—
831#124—48no—
832#124—44no—
833#124—48no—
834#124—44no—
835#124—42no—
836#124—42no—
837#124—44no—
838#124—82no—
839#124—84no—
840#123—48no—
841#123—48no—
842#123—44no—
843#123—44no—
844C22⋊Q8—28no—
845C22⋊Q8—48no—
846C22⋊Q8—44no—
847#121—28no—
848#121—28no—
849#121—28no—
850#121—28no—
851#121—28no—
852#121—48no—
853#121—44no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—44no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—44no—
869#121—44no—
870#121—44no—
871#121—44no—
872#121—44no—
873#121—48no—
874#121—48no—
875#121—44no—
876#121—44no—
877#121—44no—
878#121—84no—
879#121—84no—
880#121—84no—
881#121—84no—
882#121—84no—
883#120—48no—
884#120—48no—
885#120—48no—
886#120—48no—
887#120—48no—
888#120—48no—
889#120—48no—
890#120—48no—
891#120—48no—
892#120—48no—
893#120—48no—
894#120—48no—
895#120—84no—
896#120—84no—
897#120—84no—
898#120—84no—
899#120—84no—
900#120—84no—
901#120—84no—
902#120—84no—
903C4×Q8—24no—
904C4×Q8—44no—
905C4×Q8—42no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—42no—
916C4×D4—48no—
917C4×D4—44no—
918C4×D4—42no—
919C4×D4—44no—
920C4×D4—48no—
921C4×D4—84no—
922#117—28no—
923#117—28no—
924#117—216no—
925#117—44no—
926#117—48no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C22⋊C4—48no—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2411yescharacteristic
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098C24—44no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24C2512yes—
1113C24C2512yes—
1114C24C2514yes—
1115C24C2512yes—
1116C24C2514yes—
1117C24C2512yes—
1118C24C2512yes—
1119#41—816no—
1120#41—816no—
1121#41—832no—
1122C2×Q8—22no—
1123C2×Q8—24no—
1124C2×Q8—24no—
1125C2×Q8—22no—
1126C2×Q8—42no—
1127C2×Q8—42no—
1128C2×Q8—41no—
1129C2×Q8—42no—
1130C2×Q8—42no—
1131C2×Q8—42no—
1132C2×Q8—41no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×D4—22no—
1137C2×D4—24no—
1138C2×D4—22no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—22no—
1157C2×D4—42no—
1158C2×D4—41no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—44no—
1165C2×D4—41no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—41no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—42no—
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—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—41no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—816no—
1259C2×D4—816no—
1260C2×D4—832no—
1261C2×D4—816no—
1262C22×C4—24no—
1263C22×C4—28no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—28no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—28no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—28no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—41no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—42no—
1326C4⋊C4—41no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4H(5,𝔽2)18yes—
1341C4⋊C4H(5,𝔽2)14yes—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
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—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C42—28no—
1421C42—28no—
1422C42—28no—
1423C42—22no—
1424C42—24no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—22no—
1430C42—42no—
1431C42—42no—
1432C42—44no—
1433C42—42no—
1434C42—44no—
1435C42—41no—
1436C42—42no—
1437C42H(5,𝔽2)14yes—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—24no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—24no—
1447C23—24no—
1448C23—22no—
1449C23—24no—
1450C23—24no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—24no—
1455C23—22no—
1456C23—22no—
1457C23—24no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—24no—
1466C23—22no—
1467C23—24no—
1468C23—22no—
1469C23—22no—
1470C23—24no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—24no—
1476C23—24no—
1477C23—24no—
1478C23—24no—
1479C23—24no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—88no—
1484C23—88no—
1485C23—88no—
1486C23—88no—
1487C23—88no—
1488C23—88no—
1489C23—164no—
1490C23—164no—
1491C23—164no—
1492C23—164no—
1493C23—164no—
1494C23—164no—
1495C23—164no—
1496C23—164no—
1497C23C2611yescharacteristic
1498Q8—48no—
1499Q8—44no—
1500Q8—82no—
1501Q8—84no—
1502Q8—162no—
1503D4—48no—
1504D4—44no—
1505D4—44no—
1506D4—44no—
1507D4—48no—
1508D4—48no—
1509D4—88no—
1510D4—88no—
1511D4—82no—
1512D4—84no—
1513D4—84no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—82no—
1520D4—88no—
1521D4—84no—
1522D4—84no—
1523D4—88no—
1524D4—88no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—88no—
1530D4—88no—
1531D4—88no—
1532D4—162no—
1533D4—162no—
1534D4—164no—
1535D4—164no—
1536D4—164no—
1537D4—164no—
1538D4—164no—
1539D4—164no—
1540D4—164no—
1541D4—164no—
1542D4—164no—
1543D4—164no—
1544D4—164no—
1545D4—162no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—416no—
1601C2×C4—48no—
1602C2×C4—48no—
1603C2×C4—48no—
1604C2×C4—84no—
1605C2×C4—88no—
1606C2×C4—84no—
1607C2×C4—88no—
1608C2×C4—88no—
1609C2×C4—88no—
1610C2×C4C2×H(5,𝔽2)14yes—
1611C2×C4C2×H(5,𝔽2)14yes—
1612C2×C4C2×H(5,𝔽2)18yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4C2×H(5,𝔽2)14yes—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—44no—
1620C22—44no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—44no—
1628C22—44no—
1629C22—42no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—44no—
1636C22—44no—
1637C22—44no—
1638C22—42no—
1639C22—44no—
1640C22—44no—
1641C22—42no—
1642C22—44no—
1643C22—42no—
1644C22—44no—
1645C22—44no—
1646C22—42no—
1647C22—42no—
1648C22—44no—
1649C22—42no—
1650C22—44no—
1651C22—44no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—44no—
1657C22—42no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—1616no—
1662C22—1616no—
1663C22C22×H(5,𝔽2)11yescharacteristic
1664C22C22×H(5,𝔽2)12yes—
1665C22C22×H(5,𝔽2)11yescharacteristic
1666C22H(7,𝔽2)12yes—
1667C22H(7,𝔽2)11yescharacteristic
1668C4—24no—
1669C4—24no—
1670C4—28no—
1671C4—22no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4—44no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—44no—
1686C4—44no—
1687C4—41no—
1688C4—41no—
1689C4#354914yes—
1690C2—82no—
1691C2—82no—
1692C2—84no—
1693C2—82no—
1694C2—82no—
1695C2—82no—
1696C2—84no—
1697C2C2×#354911yescharacteristic
1698C2#6291212yes—
1699C2#6291611yescharacteristic
1700C2#6304111yescharacteristic
1701C2#6306612yes—
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. #59894C2semidirect
2. #59841C2semidirect
3. #58003C2semidirect
4. #57180C2semidirect
5. #54942C2semidirect
6. #53501C2semidirect
7. #53493C2semidirect
8. #53116C2semidirect
9. #52986C2semidirect
10. #52969C2semidirect
11. #52325C2semidirect
12. #47794C2semidirect
13. #45408C2semidirect
14. #45020C2semidirect
15. #44886C2semidirect
16. #44870C2semidirect
17. #44868C2semidirect
18. #42986C2semidirect
19. #42963C2semidirect
20. #42963C2semidirect
21. #42484C2semidirect
22. #42483C2semidirect
23. #42433C2semidirect
24. #42222C2semidirect
25. #39745C2semidirect
26. #39361C2semidirect
27. #36694C2semidirect
28. #36051C2semidirect
29. #35941C2semidirect
30. C2×#559C22semidirect
31. C2×#555C22semidirect
32. C2×#555C22semidirect
33. C2×#553C22semidirect
34. C2×#550C22semidirect
35. C2×#550C22semidirect
36. C2×#546C22semidirect
38. C2×D42C22semidirect
39. C2×#537C22semidirect
41. C2×#535C22semidirect
42. C2×#535C22semidirect
44. #2844C22semidirect
45. #2832C22semidirect
46. #2832C22semidirect
47. #2832C22semidirect
48. #2828C22semidirect
49. #2828C22semidirect
50. #2828C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
53. #2828C22semidirect
54. #2828C22semidirect
55. #2824C22semidirect
57. #2819C22semidirect
58. #2819C22semidirect
59. #2819C22semidirect
60. #2818C22semidirect
61. #2815C22semidirect
62. #2815C22semidirect
63. #2813C22semidirect
64. #2812C22semidirect
65. #2812C22semidirect
66. #2803C22semidirect
67. #2803C22semidirect
68. #2781C22semidirect
69. #2775C22semidirect
70. #2756C22semidirect
71. #2753C22semidirect
72. #2733C22semidirect
73. #2731C22semidirect
74. #2723C22semidirect
75. #2714C22semidirect
76. #2703C22semidirect
77. #2703C22semidirect
78. #2699C22semidirect
79. #2699C22semidirect
80. #2699C22semidirect
81. #2696C22semidirect
82. #2686C22semidirect
83. #2684C22semidirect
84. #2684C22semidirect
85. #2679C22semidirect
86. #2679C22semidirect
87. #2679C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2676C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2672C22semidirect
98. #2670C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
101. #2670C22semidirect
102. #2670C22semidirect
103. #2670C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2669C22semidirect
109. #2669C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2669C22semidirect
119. #2668C22semidirect
120. #2662C22semidirect
121. #2661C22semidirect
122. #2661C22semidirect
124. #2657C22semidirect
125. #2657C22semidirect
126. #2641C22semidirect
127. #2640C22semidirect
128. #2635C22semidirect
129. #2635C22semidirect
130. #2631C22semidirect
131. #2619C22semidirect
132. #2619C22semidirect
133. #2619C22semidirect
134. #2617C22semidirect
135. #2615C22semidirect
136. #2615C22semidirect
137. #2613C22semidirect
138. #2610C22semidirect
139. #2610C22semidirect
140. #2610C22semidirect
141. #2609C22semidirect
142. #2593C22semidirect
143. #2593C22semidirect
144. #2592C22semidirect
145. #2584C22semidirect
146. #2572C22semidirect
147. #2559C22semidirect
148. #2559C22semidirect
149. #2557C22semidirect
150. #2555C22semidirect
152. #2548C22semidirect
153. #2548C22semidirect
154. #2546C22semidirect
155. #2544C22semidirect
156. #2543C22semidirect
157. #2543C22semidirect
159. #2541C22semidirect
160. #2541C22semidirect
161. #2541C22semidirect
162. #2541C22semidirect
163. #2541C22semidirect
164. #2541C22semidirect
166. #2540C22semidirect
167. #2531C22semidirect
168. #2526C22semidirect
169. #2518C22semidirect
170. #2513C22semidirect
171. #2498C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
176. #2490C22semidirect
177. #2490C22semidirect
178. #2490C22semidirect
179. #2489C22semidirect
180. #2476C22semidirect
181. #2472C22semidirect
182. #2461C22semidirect
183. #2459C22semidirect
184. #2435C22semidirect
187. #2433C22semidirect
188. #2433C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
191. #2433C22semidirect
192. #2433C22semidirect
193. #2431C22semidirect
194. #2431C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
197. #2430C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
210. #2427C22semidirect
211. #2427C22semidirect
212. #2426C22semidirect
213. #2424C22semidirect
214. #2424C22semidirect
215. #2420C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2415C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2414C22semidirect
223. #2414C22semidirect
224. #2410C22semidirect
225. #2408C22semidirect
226. #2408C22semidirect
227. #2408C22semidirect
228. #2408C22semidirect
229. #2407C22semidirect
230. #2404C22semidirect
231. #2403C22semidirect
232. #2398C22semidirect
233. #2398C22semidirect
234. #2398C22semidirect
235. #2398C22semidirect
236. #2395C22semidirect
237. #2388C22semidirect
238. #2388C22semidirect
239. #2388C22semidirect
240. #2388C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2362C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2347C22semidirect
248. #2346C22semidirect
249. #2346C22semidirect
250. #2344C22semidirect
251. #2328C22semidirect
252. #2319C22semidirect
253. #2319C22semidirect
254. C4×#124C22semidirect
255. C4×#124C22semidirect
256. #2295C22semidirect
257. #2293C22semidirect
258. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#598942
#598412
#580032
#571802
#549422
#535012
#534932
#531162
#529862
#529692
#523252
#477942
#454082
#450202
#448862
#448702
#448682
#429862
#429632
#424842
#424832
#424332
#422222
#397452
#393612
#366942
#360512
#359412