Finite Group Databasebeta

← #8157169

Subgroups — #8157169

Order 512.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1855 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59854C212yesmaximal, complemented
2#59126C212yesmaximal, complemented
3#57180C214yesmaximal, complemented
4#54942C214yesmaximal, complemented
5#53988C214yesmaximal, complemented
6#53523C214yesmaximal, complemented
7#53055C212yesmaximal, complemented
8#52969C212yesmaximal, complemented
9#52410C214yesmaximal, complemented
10#45063C212yesmaximal, complemented
11#44870C212yesmaximal, complemented
12#42963C212yesmaximal, complemented
13#42578C212yesmaximal, complemented
14#42532C212yesmaximal, complemented
15#42420C212yesmaximal, complemented
16#40490C214yesmaximal, complemented
17#39503C211yesmaximal, characteristic, complemented
18#39358C211yesmaximal, characteristic, complemented
19#37949C212yesmaximal, complemented
20#37672C212yesmaximal, complemented
21#37650C212yesmaximal, complemented
22#37650C212yesmaximal, complemented
23#37450C212yesmaximal, complemented
24#36717C212yesmaximal, complemented
25#36160C211yesmaximal, characteristic, complemented
26D4×#121C211yesmaximal, characteristic, complemented
27#35005C211yesmaximal, characteristic, complemented
28C2×#2428C211yesmaximal, characteristic, complemented
29#34575C211yesmaximal, characteristic, complemented
30C2×#555C2211yescharacteristic, complemented
31C2×D42C2212yescomplemented
32C2×D42C2212yescomplemented
33C2×D42C2214yescomplemented
34C2×D42C2211yescharacteristic, complemented
35C2×D42C2212yescomplemented
36C2×#538C2212yescomplemented
37C2×#535C2212yescomplemented
38C2×#535C2212yescomplemented
39C2×#534C2212yescomplemented
40C22×#127C2211yescharacteristic
41C2×#525C2212yescomplemented
42C22×#121C2211yescharacteristic, complemented
43C22×#121C2211yescharacteristic, complemented
44C22×#121C2212yescomplemented
45C22×#121C2212yescomplemented
46C22×C4×D4C2211yescharacteristic, complemented
47#2857C2211yescharacteristic, complemented
48#2856C2211yescharacteristic
49#2847C2212yescomplemented
50#2847C2212yescomplemented
51#2847C2212yescomplemented
52#2828C2214yescomplemented
53#2828C2214yescomplemented
54#2828C2214yescomplemented
55#2824C2214yescomplemented
56#2824C2214yescomplemented
57#2819C2214yescomplemented
58#2818C2214yescomplemented
59#2815C2214yescomplemented
60#2815C2214yescomplemented
61#2815C2214yescomplemented
62#2812C2214yescomplemented
63#2812C2214yescomplemented
64#2808C2212yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2783C2214yescomplemented
68#2782C2214yescomplemented
69#2756C2214yescomplemented
70#2753C2214yescomplemented
71#2753C2214yescomplemented
72#2737C2214yescomplemented
73#2733C2212yescomplemented
74#2714C2214yescomplemented
75#2714C2214yescomplemented
76#2703C2214yescomplemented
77#2703C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2699C2214yescomplemented
81#2686C2214yescomplemented
82#2684C2214yescomplemented
83#2684C2214yescomplemented
84#2682C2212yescomplemented
85#2679C2214yescomplemented
86#2679C2212yescomplemented
87#2678C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2676C2214yescomplemented
91#2676C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2671C2214yescomplemented
98#2670C2214yescomplemented
99#2670C2214yescomplemented
100#2670C2214yescomplemented
101#2670C2214yescomplemented
102#2669C2214yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2669C2214yescomplemented
109#2669C2214yescomplemented
110#2669C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2668C2214yescomplemented
114#2663C2212yescomplemented
115#2663C2212yescomplemented
116#2661C2212yescomplemented
117#2661C2212yescomplemented
118#2661C2214yescomplemented
119#2659C2211yescharacteristic, complemented
120#2657C2214yescomplemented
121#2656C2211yescharacteristic
122#2639C2212yescomplemented
123#2639C2212yescomplemented
124#2631C2214yescomplemented
125#2619C2212yescomplemented
126#2619C2212yescomplemented
127#2619C2214yescomplemented
128#2619C2214yescomplemented
129#2617C2212yescomplemented
130#2617C2211yescharacteristic, complemented
131#2617C2211yescharacteristic, complemented
132#2617C2214yescomplemented
133#2617C2212yescomplemented
134#2617C2212yescomplemented
135#2617C2212yescomplemented
136#2617C2214yescomplemented
137#2615C2212yescomplemented
138#2615C2212yescomplemented
139#2613C2214yescomplemented
140#2610C2214yescomplemented
141#2603C2214yescomplemented
142#2591C2214yescomplemented
143#2563C2211yescharacteristic, complemented
144#2559C2214yescomplemented
145#2557C2214yescomplemented
146#2555C2214yescomplemented
147#2543C2214yescomplemented
148#2541C2212yescomplemented
149#2541C2212yescomplemented
150#2541C2212yescomplemented
151#2541C2212yescomplemented
152#2541C2211yescharacteristic, complemented
153#2537C2211yescharacteristic, complemented
154#2537C2211yescharacteristic, complemented
155#2535C2212yescomplemented
156#2535C2212yescomplemented
157#2531C2214yescomplemented
158#2526C2214yescomplemented
159#2518C2214yescomplemented
160#2513C2212yescomplemented
161#2513C2212yescomplemented
162#2508C2212yescomplemented
163#2504C2214yescomplemented
164#2504C2214yescomplemented
165#2500C2212yescomplemented
166#2496C2212yescomplemented
167#2495C2212yescomplemented
168#2491C2212yescomplemented
169#2491C2212yescomplemented
170#2485C2212yescomplemented
171#2485C2212yescomplemented
172#2476C2214yescomplemented
173#2472C2214yescomplemented
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2472C2214yescomplemented
177#2459C2214yescomplemented
178#2445C2212yescomplemented
179#2443C2214yescomplemented
180#2433C2214yescomplemented
181#2433C2214yescomplemented
182#2433C2212yescomplemented
183#2433C2214yescomplemented
184#2433C2214yescomplemented
185#2433C2212yescomplemented
186#2433C2214yescomplemented
187#2433C2212yescomplemented
188#2428C2212yescomplemented
189#2428C2212yescomplemented
190#2428C2214yescomplemented
191#2428C2214yescomplemented
192#2428C2212yescomplemented
193#2428C2212yescomplemented
194#2428C2212yescomplemented
195#2428C2212yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2428C2214yescomplemented
199#2424C2214yescomplemented
200#2422C2212yescomplemented
201#2422C2212yescomplemented
202#2420C2212yescomplemented
203#2420C2212yescomplemented
204#2418C2214yescomplemented
205#2416C2212yescomplemented
206#2416C2212yescomplemented
207#2416C2212yescomplemented
208#2414C2212yescomplemented
209#2414C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2408C2212yescomplemented
219#2408C2212yescomplemented
220#2408C2212yescomplemented
221#2408C2212yescomplemented
222#2408C2214yescomplemented
223#2408C2212yescomplemented
224#2408C2212yescomplemented
225#2403C2214yescomplemented
226#2403C2214yescomplemented
227#2403C2214yescomplemented
228#2403C2214yescomplemented
229#2403C2214yescomplemented
230#2395C2212yescomplemented
231#2395C2212yescomplemented
232#2388C2212yescomplemented
233#2388C2212yescomplemented
234C2×#394C2212yescomplemented
235C2×#392C2212yescomplemented
236#2366C2212yescomplemented
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2354C2211yescharacteristic, complemented
240#2353C2214yescomplemented
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243D4×C4⋊C4C2211yescharacteristic, complemented
244#2346C2212yescomplemented
245D4×C22⋊C4C2212yescomplemented
246#2325C2212yescomplemented
247#2324C2212yescomplemented
248#2324C2212yescomplemented
249#2312C2212yescomplemented
250C4×#121C2211yescharacteristic, complemented
251C4×#121C2211yescharacteristic, complemented
252C4×#121C2212yescomplemented
253C4×#121C2212yescomplemented
254C2×#390C2211yescharacteristic, complemented
255C2×#389C2211yescharacteristic, complemented
256C2×#386C2212yescomplemented
257#2280C2212yescomplemented
258C2×C4×C22⋊C4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2314yes—
265C23×D4C2314yes—
266C23×D4C2312yes—
267C23×D4C2314yes—
268C23×D4C2312yes—
269C23×D4C2312yes—
270C23×D4C2312yes—
271C23×D4C2312yes—
272C24×C4C2311yescharacteristic
273C24×C4C2312yes—
274#555—44no—
275D42—44no—
276D42—48no—
277D42—48no—
278D42—416no—
279D42—48no—
280#538—48no—
281#535—48no—
282#535—48no—
283#534—48no—
284C2×C4⋊Q8C2311yescharacteristic
285C2×#127—44no—
286C2×#127C2312yes—
287C2×#127C2314yes—
288C2×#127C2311yescharacteristic
289C2×#127C2314yes—
290C2×#127C2312yes—
291C2×#127C2312yes—
292C2×#127C2314yes—
293C2×#127C2314yes—
294C2×#127C2312yes—
295C2×#127C2314yes—
296C2×#127C2314yes—
297C2×#126C2314yes—
298C2×#124C2314yes—
299C2×#124C2314yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302C2×#124C2314yes—
303#525—48no—
304C2×#123C2314yes—
305C2×#123C2312yes—
306C2×#123C2312yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×#121—48no—
313C2×#121—44no—
314C2×#121—48no—
315C2×#121—44no—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2311yescharacteristic
320C2×#121C2312yes—
321C2×#121C2311yescharacteristic
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2312yes—
366C2×#120C2312yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×C4×D4—44no—
387C2×C4×D4C2314yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2311yescharacteristic
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2314yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424#400C2314yes—
425#400C2312yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#399C2312yes—
430#399C2312yes—
431#398C2314yes—
432#398C2312yes—
433#398C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#395C2312yes—
456#395C2312yes—
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#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2312yes—
509#393C2314yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2312yes—
539#392C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2312yes—
553#392C2312yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#391C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2314yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2311yescharacteristic
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#383C2314yes—
677#382C2312yes—
678#382C2314yes—
679#382C2312yes—
680#382C2314yes—
681#381C2314yes—
682#381C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2311yescharacteristic
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2311yescharacteristic
699#380C2312yes—
700#379C2314yes—
701#379C2314yes—
702#379C2314yes—
703#379C2314yes—
704#379C2314yes—
705#379C2314yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725#376C2314yes—
726C2×#95C2311yescharacteristic
727C2×#95C2312yes—
728C2×#95C2311yescharacteristic
729C25C2412yes—
730C25C2412yes—
731C25C2411yescharacteristic
732C25C2414yes—
733C25C2414yes—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C22×Q8C2412yes—
738C22×Q8C2412yes—
739C22×D4—24no—
740C22×D4—28no—
741C22×D4—24no—
742C22×D4—24no—
743C22×D4—28no—
744C22×D4—42no—
745C22×D4—42no—
746C22×D4—44no—
747C22×D4—44no—
748C22×D4—42no—
749C22×D4—44no—
750C22×D4—44no—
751C22×D4—44no—
752C22×D4—44no—
753C22×D4—44no—
754C22×D4—44no—
755C22×D4—48no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—44no—
759C22×D4—48no—
760C22×D4—44no—
761C22×D4—44no—
762C22×D4—44no—
763C22×D4—48no—
764C22×D4—48no—
765C22×D4—48no—
766C22×D4—48no—
767C22×D4—48no—
768C22×D4—48no—
769C22×D4—82no—
770C22×D4—82no—
771C22×D4—82no—
772C22×D4—82no—
773C22×D4—82no—
774C22×D4—84no—
775C22×D4C2411yescharacteristic
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2411yescharacteristic
784C22×D4C2411yescharacteristic
785C22×D4C2411yescharacteristic
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2412yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2412yes—
799C22×D4C2414yes—
800C22×D4C2412yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2412yes—
808C22×D4C2412yes—
809C22×D4C2414yes—
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2414yes—
814C22×D4C2414yes—
815C22×D4C2414yes—
816C22×D4C2414yes—
817C22×D4C2414yes—
818C23×C4—28no—
819C23×C4—24no—
820C23×C4—44no—
821C23×C4—42no—
822C23×C4—42no—
823C23×C4—82no—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C4⋊Q8—42no—
844#127—28no—
845#127—44no—
846#127—48no—
847#127—42no—
848#127—44no—
849#127—44no—
850#127—48no—
851#127—48no—
852#127—48no—
853#127—84no—
854#127—84no—
855#126—48no—
856#124—48no—
857#124—48no—
858#124—48no—
859#124—48no—
860#124—84no—
861#123—48no—
862#123—48no—
863#123—44no—
864#123—44no—
865#123—48no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869#121—28no—
870#121—28no—
871#121—24no—
872#121—28no—
873#121—24no—
874#121—28no—
875#121—28no—
876#121—28no—
877#121—28no—
878#121—48no—
879#121—48no—
880#121—48no—
881#121—48no—
882#121—48no—
883#121—44no—
884#121—48no—
885#121—44no—
886#121—44no—
887#121—48no—
888#121—48no—
889#121—48no—
890#121—48no—
891#121—48no—
892#121—48no—
893#121—48no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—48no—
906#121—44no—
907#121—48no—
908#121—44no—
909#121—48no—
910#121—44no—
911#121—84no—
912#121—82no—
913#121—82no—
914#120—48no—
915#120—48no—
916#120—48no—
917#120—48no—
918#120—48no—
919#120—48no—
920#120—48no—
921#120—48no—
922#120—48no—
923#120—44no—
924#120—44no—
925#120—48no—
926#120—48no—
927#120—48no—
928#120—48no—
929#120—48no—
930#120—48no—
931#120—48no—
932#120—48no—
933#120—48no—
934#120—84no—
935#120—84no—
936#120—84no—
937#120—84no—
938#120—84no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—216no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—42no—
945C4×D4—42no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—42no—
953C4×D4—44no—
954C4×D4—42no—
955C4×D4—44no—
956C4×D4—44no—
957#117—28no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—82no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—42no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C22⋊C4—24no—
1001C2×C22⋊C4—28no—
1002C2×C22⋊C4—24no—
1003C2×C22⋊C4—44no—
1004C2×C22⋊C4—48no—
1005C2×C22⋊C4—44no—
1006C2×C22⋊C4—44no—
1007C2×C22⋊C4—82no—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C42—42no—
1086C2×C42—42no—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136C24—22no—
1137C24—24no—
1138C24—24no—
1139C24—24no—
1140C24—24no—
1141C24—22no—
1142C24—24no—
1143C24—22no—
1144C24—24no—
1145C24—24no—
1146C24—28no—
1147C24—42no—
1148C24—41no—
1149C24—41no—
1150C24—42no—
1151C24—42no—
1152C24—41no—
1153C24—41no—
1154C24—42no—
1155C24—44no—
1156C24—42no—
1157C24—42no—
1158C24—42no—
1159C24—44no—
1160C24—44no—
1161C24—44no—
1162C24—44no—
1163C24—44no—
1164C24—44no—
1165C24—44no—
1166C24—44no—
1167C24—44no—
1168C24—44no—
1169C24—44no—
1170C24—44no—
1171C24C2512yes—
1172C24C2514yes—
1173C24C2514yes—
1174C24C2512yes—
1175C24C2512yes—
1176C24C2512yes—
1177C24C2512yes—
1178C24C2511yescharacteristic
1179#41—816no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—28no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—28no—
1197C2×D4—28no—
1198C2×D4—28no—
1199C2×D4—28no—
1200C2×D4—28no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—416no—
1223C2×D4—42no—
1224C2×D4—41no—
1225C2×D4—42no—
1226C2×D4—41no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—41no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
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—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—41no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—88no—
1316C2×D4—816no—
1317C2×D4—816no—
1318C2×D4—816no—
1319C2×D4—816no—
1320C2×D4—816no—
1321C2×D4—816no—
1322C2×D4—832no—
1323C2×D4—832no—
1324C2×D4—832no—
1325C2×D4—816no—
1326C2×D4H(5,𝔽2)14yes—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—28no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—42no—
1356C22×C4—41no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—41no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—88no—
1382C22×C4—816no—
1383C22×C4H(5,𝔽2)14yes—
1384C22×C4H(5,𝔽2)14yes—
1385C22×C4H(5,𝔽2)14yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2514yes—
1391C22×C4C2514yes—
1392C22×C4C2514yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2514yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—28no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—41no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—41no—
1429C4⋊C4—42no—
1430C4⋊C4—41no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—41no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4H(5,𝔽2)14yes—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C42—22no—
1519C42—22no—
1520C42—24no—
1521C42—28no—
1522C42—24no—
1523C42—24no—
1524C42—28no—
1525C42—41no—
1526C42—41no—
1527C42—42no—
1528C42—44no—
1529C42—44no—
1530C42—44no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—24no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23—22no—
1548C23—24no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—24no—
1553C23—24no—
1554C23—24no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—24no—
1560C23—24no—
1561C23—24no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—24no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—24no—
1577C23—24no—
1578C23—24no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—48no—
1584C23—48no—
1585C23—48no—
1586C23—44no—
1587C23—44no—
1588C23—48no—
1589C23—44no—
1590C23—48no—
1591C23—82no—
1592C23—84no—
1593C23—84no—
1594C23—82no—
1595C23—82no—
1596C23—84no—
1597C23—82no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23—88no—
1603C23—88no—
1604C23—84no—
1605C23—84no—
1606C23—88no—
1607C23—88no—
1608C23—88no—
1609C23—88no—
1610C23—88no—
1611C23—88no—
1612C23—164no—
1613C23—164no—
1614C23—164no—
1615C23—164no—
1616C23—164no—
1617C23—164no—
1618C23C2×H(5,𝔽2)14yes—
1619C23C2×H(5,𝔽2)12yes—
1620C23C2×H(5,𝔽2)12yes—
1621C23C2×H(5,𝔽2)12yes—
1622C23C2611yescharacteristic
1623Q8—84no—
1624Q8—162no—
1625D4—28no—
1626D4—48no—
1627D4—416no—
1628D4—44no—
1629D4—48no—
1630D4—48no—
1631D4—48no—
1632D4—416no—
1633D4—44no—
1634D4—48no—
1635D4—48no—
1636D4—82no—
1637D4—84no—
1638D4—84no—
1639D4—88no—
1640D4—88no—
1641D4—88no—
1642D4—88no—
1643D4—88no—
1644D4—88no—
1645D4—88no—
1646D4—84no—
1647D4—84no—
1648D4—88no—
1649D4—88no—
1650D4—88no—
1651D4—88no—
1652D4—88no—
1653D4—88no—
1654D4—88no—
1655D4—88no—
1656D4—88no—
1657D4—84no—
1658D4—84no—
1659D4—84no—
1660D4—164no—
1661D4—164no—
1662D4—164no—
1663D4—164no—
1664D4—162no—
1665D4—164no—
1666D4—164no—
1667D4—164no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—28no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—48no—
1727C2×C4—48no—
1728C2×C4—48no—
1729C2×C4—44no—
1730C2×C4—48no—
1731C2×C4—48no—
1732C2×C4—48no—
1733C2×C4—84no—
1734C2×C4—84no—
1735C2×C4—84no—
1736C2×C4—88no—
1737C2×C4—82no—
1738C2×C4—82no—
1739C2×C4—84no—
1740C2×C4—88no—
1741C2×C4—88no—
1742C2×C4C2×H(5,𝔽2)14yes—
1743C2×C4C2×H(5,𝔽2)14yes—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—24no—
1757C22—24no—
1758C22—24no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—44no—
1768C22—44no—
1769C22—44no—
1770C22—42no—
1771C22—42no—
1772C22—44no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—44no—
1781C22—42no—
1782C22—44no—
1783C22—42no—
1784C22—44no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—44no—
1790C22—44no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—44no—
1796C22—42no—
1797C22—44no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—44no—
1803C22—42no—
1804C22—44no—
1805C22—816no—
1806C22—88no—
1807C22—168no—
1808C22—1616no—
1809C22—1616no—
1810C22#354914yes—
1811C22C22×H(5,𝔽2)11yescharacteristic
1812C22C22×H(5,𝔽2)11yescharacteristic
1813C22C22×H(5,𝔽2)11yescharacteristic
1814C22C22×H(5,𝔽2)11yescharacteristic
1815C22C22×H(5,𝔽2)11yescharacteristic
1816C22H(7,𝔽2)11yescharacteristic
1817C22H(7,𝔽2)11yescharacteristic
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—24no—
1822C4—24no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—44no—
1829C4—42no—
1830C4—42no—
1831C4—42no—
1832C4—44no—
1833C4—42no—
1834C4—44no—
1835C4—41no—
1836C4—41no—
1837C4—44no—
1838C4#353714yes—
1839C2—24no—
1840C2—44no—
1841C2—82no—
1842C2—82no—
1843C2—82no—
1844C2—82no—
1845C2—84no—
1846C2—84no—
1847C2C2×#353711yescharacteristic
1848C2C2×#354911yescharacteristic
1849C2#6288011yescharacteristic
1850C2#6289211yescharacteristic
1851C2#6289211yescharacteristic
1852C2#6291211yescharacteristic
1853C2#6291611yescharacteristic
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. #59854C2semidirect
2. #59126C2semidirect
3. #57180C2semidirect
4. #54942C2semidirect
5. #53988C2semidirect
6. #53523C2semidirect
7. #53055C2semidirect
8. #52969C2semidirect
9. #52410C2semidirect
10. #45063C2semidirect
11. #44870C2semidirect
12. #42963C2semidirect
13. #42578C2semidirect
14. #42532C2semidirect
15. #42420C2semidirect
16. #40490C2semidirect
17. #39503C2semidirect
18. #39358C2semidirect
19. #37949C2semidirect
20. #37672C2semidirect
21. #37650C2semidirect
22. #37650C2semidirect
23. #37450C2semidirect
24. #36717C2semidirect
25. #36160C2semidirect
26. D4×#121C2semidirect
27. #35005C2semidirect
28. C2×#2428C2semidirect
29. #34575C2semidirect
30. C2×#555C22semidirect
31. C2×D42C22semidirect
32. C2×D42C22semidirect
33. C2×D42C22semidirect
34. C2×D42C22semidirect
35. C2×D42C22semidirect
36. C2×#538C22semidirect
37. C2×#535C22semidirect
38. C2×#535C22semidirect
39. C2×#534C22semidirect
41. C2×#525C22semidirect
42. C22×#121C22semidirect
43. C22×#121C22semidirect
44. C22×#121C22semidirect
45. C22×#121C22semidirect
46. C22×C4×D4C22semidirect
47. #2857C22semidirect
49. #2847C22semidirect
50. #2847C22semidirect
51. #2847C22semidirect
52. #2828C22semidirect
53. #2828C22semidirect
54. #2828C22semidirect
55. #2824C22semidirect
56. #2824C22semidirect
57. #2819C22semidirect
58. #2818C22semidirect
59. #2815C22semidirect
60. #2815C22semidirect
61. #2815C22semidirect
62. #2812C22semidirect
63. #2812C22semidirect
64. #2808C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2783C22semidirect
68. #2782C22semidirect
69. #2756C22semidirect
70. #2753C22semidirect
71. #2753C22semidirect
72. #2737C22semidirect
73. #2733C22semidirect
74. #2714C22semidirect
75. #2714C22semidirect
76. #2703C22semidirect
77. #2703C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2699C22semidirect
81. #2686C22semidirect
82. #2684C22semidirect
83. #2684C22semidirect
84. #2682C22semidirect
85. #2679C22semidirect
86. #2679C22semidirect
87. #2678C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2676C22semidirect
91. #2676C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2671C22semidirect
98. #2670C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
101. #2670C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2669C22semidirect
109. #2669C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2668C22semidirect
114. #2663C22semidirect
115. #2663C22semidirect
116. #2661C22semidirect
117. #2661C22semidirect
118. #2661C22semidirect
119. #2659C22semidirect
120. #2657C22semidirect
122. #2639C22semidirect
123. #2639C22semidirect
124. #2631C22semidirect
125. #2619C22semidirect
126. #2619C22semidirect
127. #2619C22semidirect
128. #2619C22semidirect
129. #2617C22semidirect
130. #2617C22semidirect
131. #2617C22semidirect
132. #2617C22semidirect
133. #2617C22semidirect
134. #2617C22semidirect
135. #2617C22semidirect
136. #2617C22semidirect
137. #2615C22semidirect
138. #2615C22semidirect
139. #2613C22semidirect
140. #2610C22semidirect
141. #2603C22semidirect
142. #2591C22semidirect
143. #2563C22semidirect
144. #2559C22semidirect
145. #2557C22semidirect
146. #2555C22semidirect
147. #2543C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2537C22semidirect
154. #2537C22semidirect
155. #2535C22semidirect
156. #2535C22semidirect
157. #2531C22semidirect
158. #2526C22semidirect
159. #2518C22semidirect
160. #2513C22semidirect
161. #2513C22semidirect
162. #2508C22semidirect
163. #2504C22semidirect
164. #2504C22semidirect
165. #2500C22semidirect
166. #2496C22semidirect
167. #2495C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2485C22semidirect
171. #2485C22semidirect
172. #2476C22semidirect
173. #2472C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2459C22semidirect
178. #2445C22semidirect
179. #2443C22semidirect
180. #2433C22semidirect
181. #2433C22semidirect
182. #2433C22semidirect
183. #2433C22semidirect
184. #2433C22semidirect
185. #2433C22semidirect
186. #2433C22semidirect
187. #2433C22semidirect
188. #2428C22semidirect
189. #2428C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2424C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2418C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2416C22semidirect
208. #2414C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2403C22semidirect
226. #2403C22semidirect
227. #2403C22semidirect
228. #2403C22semidirect
229. #2403C22semidirect
230. #2395C22semidirect
231. #2395C22semidirect
232. #2388C22semidirect
233. #2388C22semidirect
234. C2×#394C22semidirect
235. C2×#392C22semidirect
236. #2366C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
239. #2354C22semidirect
240. #2353C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. D4×C4⋊C4C22semidirect
244. #2346C22semidirect
245. D4×C22⋊C4C22semidirect
246. #2325C22semidirect
247. #2324C22semidirect
248. #2324C22semidirect
249. #2312C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. C2×#390C22semidirect
255. C2×#389C22semidirect
256. C2×#386C22semidirect
257. #2280C22semidirect
258. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#598542
#591262
#571802
#549422
#539882
#535232
#530552
#529692
#524102
#450632
#448702
#429632
#425782
#425322
#424202
#404902
#395032
#393582
#379492
#376722
#376502
#374502
#367172
#361602
D4×#1212
#350052
C2×#24282
#345752