Finite Group Databasebeta

← #7710126

Subgroups — #7710126

Order 512.

7594 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3560C212yesmaximal, complemented
2#59839C214yesmaximal, complemented
3#59693C212yesmaximal, complemented
4#59476C212yesmaximal, complemented
5#45994C214yesmaximal, complemented
6#45993C212yesmaximal, complemented
7#45992C212yesmaximal, complemented
8#39738C212yesmaximal, complemented
9#39450C214yesmaximal, complemented
10#39443C214yesmaximal, complemented
11#39406C212yesmaximal, complemented
12#39405C212yesmaximal, complemented
13#39405C212yesmaximal, complemented
14#39404C212yesmaximal, complemented
15#39354C212yesmaximal, complemented
16#37679C212yesmaximal, complemented
17#37678C212yesmaximal, complemented
18#37556C212yesmaximal, complemented
19#36741C212yesmaximal, complemented
20#36739C212yesmaximal, complemented
21#36644C211yesmaximal, characteristic, complemented
22#36631C211yesmaximal, characteristic, complemented
23#36596C212yesmaximal, complemented
24#36126C212yesmaximal, complemented
25#36123C212yesmaximal, complemented
26#36123C212yesmaximal, complemented
27#35166C211yesmaximal, characteristic, complemented
28#35006C211yesmaximal, characteristic, complemented
29#35005C211yesmaximal, characteristic, complemented
30#35001C211yesmaximal, characteristic, complemented
31C2×C4×#126C211yesmaximal, characteristic, complemented
32#3560—232no—
33C2×#563C2214yescomplemented
34C2×#560C2214yescomplemented
35C2×#553C2214yescomplemented
36C2×#553C2214yescomplemented
37C2×#551C2214yescomplemented
38C2×#547C2214yescomplemented
39C2×#546C2214yes—
40C2×#546C2214yes—
41C2×#542C2214yescomplemented
42C2×#539C2214yescomplemented
43C2×#539C2212yescomplemented
44C2×#538C2212yes—
45C2×#538C2214yescomplemented
46C2×#538C2214yescomplemented
47C2×#537C2212yescomplemented
48C2×#537C2212yescomplemented
49C2×#534C2212yes—
50C2×#534C2212yes—
51C2×#532C2212yescomplemented
52C2×#532C2212yescomplemented
53C2×#532C2212yescomplemented
54C2×#532C2212yescomplemented
55C2×#529C2212yescomplemented
56C22×#126C2211yescharacteristic
57C22×#121C2212yes—
58#2868C2211yescharacteristic, complemented
59#2867C2211yescharacteristic, complemented
60#2861C2212yescomplemented
61#2860C2212yescomplemented
62#2860C2212yescomplemented
63#2859C2211yescharacteristic, complemented
64#2858C2212yescomplemented
65#2858C2211yescharacteristic, complemented
66#2858C2212yescomplemented
67#2858C2212yescomplemented
68#2857C2211yescharacteristic, complemented
69#2856C2211yescharacteristic
70#2856C2212yes—
71#2856C2211yescharacteristic
72#2856C2212yescomplemented
73#2856C2212yescomplemented
74#2856C2212yescomplemented
75#2856C2211yescharacteristic, complemented
76#2856C2212yescomplemented
77#2854C2212yescomplemented
78#2854C2212yescomplemented
79#2854C2212yescomplemented
80#2850C2212yescomplemented
81#2847C2212yes—
82#2821C2214yescomplemented
83#2818C2214yescomplemented
84#2723C2214yescomplemented
85#2721C2214yescomplemented
86#2720C2214yescomplemented
87#2718C2214yescomplemented
88#2714C2214yescomplemented
89#2714C2214yescomplemented
90#2711C2214yescomplemented
91#2710C2214yescomplemented
92#2706C2214yescomplemented
93#2703C2214yescomplemented
94#2696C2214yescomplemented
95#2694C2214yescomplemented
96#2692C2214yescomplemented
97#2685C2214yescomplemented
98#2681C2214yescomplemented
99#2680C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2677C2214yescomplemented
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2674C2214yescomplemented
106#2674C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2672C2214yescomplemented
111#2670C2214yescomplemented
112#2670C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2656C2212yes—
117#2656C2212yes—
118#2656C2212yescomplemented
119#2656C2212yescomplemented
120#2639C2212yescomplemented
121#2639C2212yescomplemented
122#2633C2214yescomplemented
123#2632C2214yescomplemented
124#2631C2214yescomplemented
125#2631C2214yescomplemented
126#2618C2212yescomplemented
127#2617C2212yes—
128#2598C2214yescomplemented
129#2598C2214yescomplemented
130#2560C2214yescomplemented
131#2559C2214yescomplemented
132#2558C2214yescomplemented
133#2557C2214yescomplemented
134#2555C2214yes—
135#2555C2214yes—
136#2554C2214yescomplemented
137#2554C2214yescomplemented
138#2552C2212yescomplemented
139#2551C2212yescomplemented
140#2543C2214yescomplemented
141#2543C2214yescomplemented
142#2543C2214yescomplemented
143#2543C2214yescomplemented
144#2542C2212yescomplemented
145#2542C2212yescomplemented
146#2541C2212yescomplemented
147#2541C2212yescomplemented
148#2541C2212yescomplemented
149#2541C2212yescomplemented
150#2540C2214yescomplemented
151#2540C2214yescomplemented
152#2539C2214yes—
153#2539C2214yes—
154#2512C2212yescomplemented
155#2512C2212yescomplemented
156#2512C2212yescomplemented
157#2506C2212yescomplemented
158#2501C2212yes—
159#2501C2212yes—
160#2496C2212yescomplemented
161#2491C2212yes—
162#2491C2212yes—
163#2491C2214yescomplemented
164#2491C2212yescomplemented
165#2490C2214yescomplemented
166#2479C2214yescomplemented
167#2472C2214yescomplemented
168#2472C2214yescomplemented
169#2472C2214yescomplemented
170#2471C2214yescomplemented
171#2467C2214yescomplemented
172#2464C2214yes—
173#2464C2214yes—
174#2464C2214yescomplemented
175#2463C2214yescomplemented
176#2461C2214yescomplemented
177#2461C2214yescomplemented
178#2461C2214yescomplemented
179#2456C2214yescomplemented
180#2456C2214yescomplemented
181#2456C2214yescomplemented
182#2455C2214yescomplemented
183#2452C2212yescomplemented
184#2452C2212yescomplemented
185#2452C2212yescomplemented
186#2449C2214yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2443C2214yescomplemented
193#2440C2212yescomplemented
194#2440C2212yescomplemented
195#2433C2212yes—
196#2433C2212yes—
197#2433C2212yescomplemented
198#2433C2212yescomplemented
199#2430C2214yescomplemented
200#2430C2214yescomplemented
201#2430C2214yescomplemented
202#2430C2214yescomplemented
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2428C2212yes—
207#2428C2212yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2422C2212yes—
211#2422C2212yes—
212#2422C2212yescomplemented
213#2418C2214yescomplemented
214#2416C2214yescomplemented
215#2416C2214yescomplemented
216#2410C2214yes—
217#2410C2214yes—
218#2366C2212yescomplemented
219#2366C2212yescomplemented
220#2363C2214yescomplemented
221#2361C2214yescomplemented
222#2361C2212yescomplemented
223#2361C2212yescomplemented
224#2358C2214yescomplemented
225#2358C2214yescomplemented
226#2354C2212yescomplemented
227D4×C4⋊C4C2212yescomplemented
228D4×C22⋊C4C2212yescomplemented
229D4×C22⋊C4C2212yescomplemented
230#2325C2212yescomplemented
231#2325C2212yescomplemented
232C4×C4⋊Q8C2211yescharacteristic, complemented
233C4×#127C2211yescharacteristic, complemented
234C4×#127C2212yescomplemented
235C4×#127C2211yescharacteristic, complemented
236C4×#127C2211yescharacteristic, complemented
237C4×#127C2212yescomplemented
238C4×#127C2212yescomplemented
239C4×#126C2212yescomplemented
240C4×#126C2212yescomplemented
241C4×#126C2212yescomplemented
242C4×#126C2212yescomplemented
243C4×#126C2212yescomplemented
244C4×#126C2212yescomplemented
245C4×#126C2212yescomplemented
246C4×#126C2212yescomplemented
247C4×#124C2212yescomplemented
248C4×#121C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252#2293C2212yescomplemented
253#2293C2212yescomplemented
254C2×#388C2211yescharacteristic
255C2×#388C2211yescharacteristic
256C2×#388C2211yescharacteristic
257C2×#387C2211yescharacteristic, complemented
258C2×#387C2211yescharacteristic, complemented
259C2×#387C2211yescharacteristic, complemented
260C2×#383C2211yescharacteristic, complemented
261C2×C4×C4⋊C4C2211yescharacteristic, complemented
262C2×C4×C4⋊C4C2211yescharacteristic, complemented
263C2×C4×C4⋊C4C2211yescharacteristic, complemented
264C2×C4×C22⋊C4C2211yescharacteristic
265C2×C4×C22⋊C4C2211yescharacteristic
266C2×C4×C22⋊C4C2211yescharacteristic
267C2×C43C2211yescharacteristic, complemented
268C22×#41C2314yes—
269C22×#41C2314yes—
270C23×D4C2314yes—
271C23×D4C2312yes—
272C24×C4C2311yescharacteristic
273#563—232no—
274#560—232no—
275#553—232no—
276#553—232no—
277#551—232no—
278#547—232no—
279#546—232no—
280#546—232no—
281#542—232no—
282#539—232no—
283#539—216no—
284#538—232no—
285#538—232no—
286#538—216no—
287#537—216no—
288#537—48no—
289#534—216no—
290#534—48no—
291#532—216no—
292#532—48no—
293#532—48no—
294#532—48no—
295C2×C4⋊Q8C2312yes—
296C2×C4⋊Q8C2314yes—
297C2×C4⋊Q8C2311yescharacteristic
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2312yes—
300C2×C4⋊Q8C2312yes—
301C2×#127C2312yes—
302C2×#127C2311yescharacteristic
303C2×#127C2311yescharacteristic
304C2×#127C2312yes—
305C2×#127C2312yes—
306C2×#127C2312yes—
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2312yes—
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#127C2312yes—
313#529—216no—
314C2×#126D4116yescomplemented
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#126C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×#121—48no—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×C4×Q8C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×#117C2314yes—
432C2×#117C2314yes—
433C22×C4⋊C4C2314yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2311yescharacteristic
441C22×C22⋊C4C2314yes—
442C22×C22⋊C4C2314yes—
443C22×C22⋊C4C2311yescharacteristic
444C22×C22⋊C4C2314yes—
445C22×C22⋊C4C2311yescharacteristic
446C22×C22⋊C4C2311yescharacteristic
447C22×C22⋊C4C2311yescharacteristic
448C22×C22⋊C4C2311yescharacteristic
449C22×C22⋊C4C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
456C22×C42C2311yescharacteristic
457C22×C42C2311yescharacteristic
458C22×C42C2311yescharacteristic
459C22×C42C2311yescharacteristic
460#400C2314yes—
461#400C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
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#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#391C2312yes—
541#391C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2312yes—
583#390C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
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#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#386C2314yes—
647#386C2314yes—
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#386C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#383C2312yes—
696#383C2312yes—
697#383C2312yes—
698#383C2312yes—
699#382C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2314yes—
705#380C2314yes—
706#379C2314yes—
707#379C2314yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C2×#95C2311yescharacteristic
741C2×#95C2311yescharacteristic
742C2×#95C2311yescharacteristic
743C2×#95C2311yescharacteristic
744C2×#95C2311yescharacteristic
745C2×#95C2311yescharacteristic
746C2×#95C2311yescharacteristic
747C2×#95C2311yescharacteristic
748C2×#95C2311yescharacteristic
749C2×#95C2311yescharacteristic
750C2×#95C2311yescharacteristic
751C2×#95C2311yescharacteristic
752C43C2311yescharacteristic
753C43C2311yescharacteristic
754C43C2311yescharacteristic
755C43C2311yescharacteristic
756C43C2311yescharacteristic
757C43C2311yescharacteristic
758C43C2311yescharacteristic
759C43C2311yescharacteristic
760C25C2411yescharacteristic
761C25C2414yes—
762C2×#41—216no—
763C2×#41—216no—
764C2×#41—48no—
765C2×#41—48no—
766C2×#41—48no—
767C2×#41—48no—
768C22×Q8C2412yes—
769C22×Q8C2414yes—
770C22×Q8C2414yes—
771C22×D4—216no—
772C22×D4—44no—
773C22×D4—44no—
774C22×D4—44no—
775C22×D4—48no—
776C22×D4—48no—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C23×C4—24no—
805C23×C4—42no—
806C23×C4—42no—
807C23×C4C2412yes—
808C23×C4C2411yescharacteristic
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2412yes—
814C23×C4C2414yes—
815C23×C4C2411yescharacteristic
816C23×C4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C23×C4C2414yes—
819C23×C4C2414yes—
820C23×C4C2414yes—
821C23×C4C2414yes—
822C23×C4C2414yes—
823C23×C4C2414yes—
824C23×C4C2414yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C4⋊Q8—216no—
832C4⋊Q8—28no—
833C4⋊Q8—42no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837#127—28no—
838#127—44no—
839#127—44no—
840#127—44no—
841#127—42no—
842#127—42no—
843#127—44no—
844#127—44no—
845#127—42no—
846#127—44no—
847#127—44no—
848#127—44no—
849#126—216no—
850#126—216no—
851#126—216no—
852#126—216no—
853#126—216no—
854#126C2×D4116yescomplemented
855#126C2×D4116yescomplemented
856#126C2×D4116yescomplemented
857#126C2×D4116yescomplemented
858#125—216no—
859#125—216no—
860#125—28no—
861#124—216no—
862#124—216no—
863#124—216no—
864#124—28no—
865#124—216no—
866#124—44no—
867#124—48no—
868#124—48no—
869#124—48no—
870#123—216no—
871#123—216no—
872#123—216no—
873#123—216no—
874#123—216no—
875#123—216no—
876#123—216no—
877#123—216no—
878#123—216no—
879#123—216no—
880#123—216no—
881#123—216no—
882#123—48no—
883#123—48no—
884C22⋊Q8—28no—
885C22⋊Q8—216no—
886C22⋊Q8—216no—
887C22⋊Q8—216no—
888C22⋊Q8—216no—
889C22⋊Q8—216no—
890C22⋊Q8—216no—
891C22⋊Q8—216no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—216no—
898#121—216no—
899#121—216no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—216no—
907#121—216no—
908#121—216no—
909#121—216no—
910#121—216no—
911#121—216no—
912#121—216no—
913#121—216no—
914#121—216no—
915#121—48no—
916#121—48no—
917#121—48no—
918#121—48no—
919#121—48no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—48no—
925#121—48no—
926#121—48no—
927#121—48no—
928#121—48no—
929#121—48no—
930#120—216no—
931#120—216no—
932#120—216no—
933#120—216no—
934#120—216no—
935#120—48no—
936#120—48no—
937#120—48no—
938#120—48no—
939C4×Q8—28no—
940C4×D4—216no—
941C4×D4—216no—
942C4×D4—216no—
943C4×D4—216no—
944C4×D4—216no—
945C4×D4—216no—
946C4×D4—216no—
947C4×D4—28no—
948C4×D4—216no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964#117—216no—
965#117—216no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—216no—
968C2×C4⋊C4—42no—
969C2×C4⋊C4—42no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4C2×D418yescomplemented
972C2×C4⋊C4C2×D418yescomplemented
973C2×C4⋊C4C2×D418yescomplemented
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C22⋊C4—24no—
1018C2×C22⋊C4—216no—
1019C2×C22⋊C4—216no—
1020C2×C22⋊C4—42no—
1021C2×C22⋊C4—42no—
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4C2×D418yes—
1024C2×C22⋊C4C2×D418yes—
1025C2×C22⋊C4C2×D418yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C42—24no—
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—42no—
1091C2×C42—42no—
1092C2×C42—42no—
1093C2×C42—42no—
1094C2×C42—42no—
1095C2×C42—42no—
1096C2×C42C2×D418yescomplemented
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24—22no—
1173C24—22no—
1174C24—28no—
1175C24—41no—
1176C24—41no—
1177C24—41no—
1178C24—41no—
1179C24—44no—
1180C24—44no—
1181C24—44no—
1182C24—44no—
1183C24—44no—
1184C24—44no—
1185C24C22×D414yes—
1186C24C2514yes—
1187C24C2514yes—
1188C24C2514yes—
1189C24C2512yes—
1190C24C2511yescharacteristic
1191#41—832no—
1192#41—832no—
1193C2×Q8—24no—
1194C2×Q8—28no—
1195C2×Q8—28no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—28no—
1208C2×D4—28no—
1209C2×D4—28no—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—28no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—42no—
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—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—816no—
1284C2×D4—832no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—28no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—28no—
1304C22×C4—28no—
1305C22×C4—28no—
1306C22×C4—28no—
1307C22×C4—28no—
1308C22×C4—28no—
1309C22×C4—28no—
1310C22×C4—24no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—44no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—88no—
1350C22×C4C22×D414yes—
1351C22×C4C22×D414yes—
1352C22×C4C22×D414yes—
1353C22×C4C22×D414yes—
1354C22×C4C22×D414yes—
1355C22×C4C22×D414yes—
1356C22×C4H(5,𝔽2)14yes—
1357C22×C4H(5,𝔽2)14yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2514yes—
1365C22×C4C2514yes—
1366C22×C4C2514yes—
1367C22×C4C2514yes—
1368C22×C4C2514yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C4⋊C4—28no—
1385C4⋊C4—28no—
1386C4⋊C4—28no—
1387C4⋊C4—28no—
1388C4⋊C4—28no—
1389C4⋊C4—28no—
1390C4⋊C4—24no—
1391C4⋊C4—28no—
1392C4⋊C4—28no—
1393C4⋊C4—24no—
1394C4⋊C4—28no—
1395C4⋊C4—28no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4C22×D418yes—
1422C4⋊C4C22×D418yes—
1423C4⋊C4C22×D418yes—
1424C4⋊C4C22×D418yes—
1425C4⋊C4C22×D418yes—
1426C4⋊C4C22×D418yes—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4C22×D418yes—
1483C22⋊C4C22×D418yes—
1484C22⋊C4C22×D418yes—
1485C22⋊C4C22×D418yes—
1486C22⋊C4C22×D418yes—
1487C22⋊C4C22×D418yes—
1488C42—28no—
1489C42—28no—
1490C42—28no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—24no—
1496C42—24no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—24no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—41no—
1512C42—41no—
1513C42—41no—
1514C42—41no—
1515C42—42no—
1516C42—42no—
1517C42—41no—
1518C42—41no—
1519C42—41no—
1520C42—41no—
1521C42C22×D414yes—
1522C42C22×D414yes—
1523C42C22×D414yes—
1524C42C22×D414yes—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—28no—
1536C23—24no—
1537C23—24no—
1538C23—24no—
1539C23—24no—
1540C23—24no—
1541C23—24no—
1542C23—24no—
1543C23—24no—
1544C23—24no—
1545C23—24no—
1546C23—24no—
1547C23—24no—
1548C23—24no—
1549C23—24no—
1550C23—24no—
1551C23—24no—
1552C23—24no—
1553C23—24no—
1554C23—24no—
1555C23—24no—
1556C23—24no—
1557C23—44no—
1558C23—44no—
1559C23—82no—
1560C23—82no—
1561C23—82no—
1562C23—82no—
1563C23—88no—
1564C23—88no—
1565C23—88no—
1566C23—88no—
1567C23—88no—
1568C23—164no—
1569C23—164no—
1570C23C23×D414yes—
1571C23C23×D412yes—
1572C23C2×H(5,𝔽2)12yes—
1573C23C2×H(5,𝔽2)12yes—
1574C23C2611yescharacteristic
1575Q8—84no—
1576Q8—88no—
1577Q8—88no—
1578D4—416no—
1579D4—416no—
1580D4—416no—
1581D4—48no—
1582D4—48no—
1583D4—48no—
1584D4—88no—
1585D4—88no—
1586D4—88no—
1587D4—88no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591D4—84no—
1592D4—84no—
1593D4—84no—
1594D4—88no—
1595D4—88no—
1596D4—88no—
1597D4—88no—
1598D4—88no—
1599D4—88no—
1600D4—88no—
1601D4—88no—
1602D4—88no—
1603D4—164no—
1604D4—164no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—28no—
1634C2×C4—28no—
1635C2×C4—28no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—48no—
1677C2×C4—88no—
1678C2×C4—88no—
1679C2×C4—88no—
1680C2×C4—84no—
1681C2×C4—88no—
1682C2×C4—88no—
1683C2×C4—88no—
1684C2×C4—88no—
1685C2×C4—82no—
1686C2×C4—82no—
1687C2×C4—82no—
1688C2×C4—82no—
1689C2×C4—88no—
1690C2×C4C23×D412yes—
1691C2×C4C23×D414yes—
1692C2×C4C23×D414yes—
1693C2×C4C23×D412yes—
1694C2×C4C23×D412yes—
1695C2×C4C23×D412yes—
1696C2×C4C23×D412yes—
1697C2×C4C23×D412yes—
1698C2×C4C23×D414yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4#58512yes—
1704C2×C4#58512yes—
1705C2×C4#58512yes—
1706C2×C4#58512yes—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—24no—
1714C22—24no—
1715C22—24no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—44no—
1721C22—44no—
1722C22—44no—
1723C22—44no—
1724C22—44no—
1725C22—44no—
1726C22—44no—
1727C22—44no—
1728C22—44no—
1729C22—44no—
1730C22—44no—
1731C22—44no—
1732C22—44no—
1733C22—44no—
1734C22—44no—
1735C22—44no—
1736C22—44no—
1737C22—44no—
1738C22—44no—
1739C22—44no—
1740C22—44no—
1741C22—88no—
1742C22—1616no—
1743C22#349814yes—
1744C22C24×D411yescharacteristic
1745C22C22×H(5,𝔽2)11yescharacteristic
1746C22C22×H(5,𝔽2)11yescharacteristic
1747C22C2×#58511yescharacteristic
1748C22C2×#58511yescharacteristic
1749C22C2×#58511yescharacteristic
1750C22C2×#58511yescharacteristic
1751C4—22no—
1752C4—22no—
1753C4—22no—
1754C4—24no—
1755C4—22no—
1756C4—22no—
1757C4—24no—
1758C4—24no—
1759C4—22no—
1760C4—22no—
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—42no—
1766C4—41no—
1767C4—42no—
1768C4—44no—
1769C4—44no—
1770C4—44no—
1771C4—44no—
1772C4—44no—
1773C4—42no—
1774C4—41no—
1775C4—42no—
1776C4#356014yescomplemented
1777C2—24no—
1778C2—44no—
1779C2—84no—
1780C2—84no—
1781C2—84no—
1782C2C2×#356011yescharacteristic
1783C2#6274811yescharacteristic
1784C2C2×#349811yescharacteristic
1785C2#6281211yescharacteristic
1786C2#6281211yescharacteristic
1787C2#6282211yescharacteristic
1788C2#6283011yescharacteristic
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. C2×#3560C2semidirect
2. #59839C2semidirect
3. #59693C2semidirect
4. #59476C2semidirect
5. #45994C2semidirect
6. #45993C2semidirect
7. #45992C2semidirect
8. #39738C2semidirect
9. #39450C2semidirect
10. #39443C2semidirect
11. #39406C2semidirect
12. #39405C2semidirect
13. #39405C2semidirect
14. #39404C2semidirect
15. #39354C2semidirect
16. #37679C2semidirect
17. #37678C2semidirect
18. #37556C2semidirect
19. #36741C2semidirect
20. #36739C2semidirect
21. #36644C2semidirect
22. #36631C2semidirect
23. #36596C2semidirect
24. #36126C2semidirect
25. #36123C2semidirect
26. #36123C2semidirect
27. #35166C2semidirect
28. #35006C2semidirect
29. #35005C2semidirect
30. #35001C2semidirect
31. C2×C4×#126C2semidirect
33. C2×#563C22semidirect
34. C2×#560C22semidirect
35. C2×#553C22semidirect
36. C2×#553C22semidirect
37. C2×#551C22semidirect
38. C2×#547C22semidirect
41. C2×#542C22semidirect
42. C2×#539C22semidirect
43. C2×#539C22semidirect
45. C2×#538C22semidirect
46. C2×#538C22semidirect
47. C2×#537C22semidirect
48. C2×#537C22semidirect
51. C2×#532C22semidirect
52. C2×#532C22semidirect
53. C2×#532C22semidirect
54. C2×#532C22semidirect
55. C2×#529C22semidirect
58. #2868C22semidirect
59. #2867C22semidirect
60. #2861C22semidirect
61. #2860C22semidirect
62. #2860C22semidirect
63. #2859C22semidirect
64. #2858C22semidirect
65. #2858C22semidirect
66. #2858C22semidirect
67. #2858C22semidirect
68. #2857C22semidirect
72. #2856C22semidirect
73. #2856C22semidirect
74. #2856C22semidirect
75. #2856C22semidirect
76. #2856C22semidirect
77. #2854C22semidirect
78. #2854C22semidirect
79. #2854C22semidirect
80. #2850C22semidirect
82. #2821C22semidirect
83. #2818C22semidirect
84. #2723C22semidirect
85. #2721C22semidirect
86. #2720C22semidirect
87. #2718C22semidirect
88. #2714C22semidirect
89. #2714C22semidirect
90. #2711C22semidirect
91. #2710C22semidirect
92. #2706C22semidirect
93. #2703C22semidirect
94. #2696C22semidirect
95. #2694C22semidirect
96. #2692C22semidirect
97. #2685C22semidirect
98. #2681C22semidirect
99. #2680C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2677C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2674C22semidirect
106. #2674C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
110. #2672C22semidirect
111. #2670C22semidirect
112. #2670C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
118. #2656C22semidirect
119. #2656C22semidirect
120. #2639C22semidirect
121. #2639C22semidirect
122. #2633C22semidirect
123. #2632C22semidirect
124. #2631C22semidirect
125. #2631C22semidirect
126. #2618C22semidirect
128. #2598C22semidirect
129. #2598C22semidirect
130. #2560C22semidirect
131. #2559C22semidirect
132. #2558C22semidirect
133. #2557C22semidirect
136. #2554C22semidirect
137. #2554C22semidirect
138. #2552C22semidirect
139. #2551C22semidirect
140. #2543C22semidirect
141. #2543C22semidirect
142. #2543C22semidirect
143. #2543C22semidirect
144. #2542C22semidirect
145. #2542C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2540C22semidirect
151. #2540C22semidirect
154. #2512C22semidirect
155. #2512C22semidirect
156. #2512C22semidirect
157. #2506C22semidirect
160. #2496C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
165. #2490C22semidirect
166. #2479C22semidirect
167. #2472C22semidirect
168. #2472C22semidirect
169. #2472C22semidirect
170. #2471C22semidirect
171. #2467C22semidirect
174. #2464C22semidirect
175. #2463C22semidirect
176. #2461C22semidirect
177. #2461C22semidirect
178. #2461C22semidirect
179. #2456C22semidirect
180. #2456C22semidirect
181. #2456C22semidirect
182. #2455C22semidirect
183. #2452C22semidirect
184. #2452C22semidirect
185. #2452C22semidirect
186. #2449C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2443C22semidirect
193. #2440C22semidirect
194. #2440C22semidirect
197. #2433C22semidirect
198. #2433C22semidirect
199. #2430C22semidirect
200. #2430C22semidirect
201. #2430C22semidirect
202. #2430C22semidirect
207. #2428C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
212. #2422C22semidirect
213. #2418C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
218. #2366C22semidirect
219. #2366C22semidirect
220. #2363C22semidirect
221. #2361C22semidirect
222. #2361C22semidirect
223. #2361C22semidirect
224. #2358C22semidirect
225. #2358C22semidirect
226. #2354C22semidirect
227. D4×C4⋊C4C22semidirect
228. D4×C22⋊C4C22semidirect
229. D4×C22⋊C4C22semidirect
230. #2325C22semidirect
231. #2325C22semidirect
232. C4×C4⋊Q8C22semidirect
233. C4×#127C22semidirect
234. C4×#127C22semidirect
235. C4×#127C22semidirect
236. C4×#127C22semidirect
237. C4×#127C22semidirect
238. C4×#127C22semidirect
239. C4×#126C22semidirect
240. C4×#126C22semidirect
241. C4×#126C22semidirect
242. C4×#126C22semidirect
243. C4×#126C22semidirect
244. C4×#126C22semidirect
245. C4×#126C22semidirect
246. C4×#126C22semidirect
247. C4×#124C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. #2293C22semidirect
253. #2293C22semidirect
257. C2×#387C22semidirect
258. C2×#387C22semidirect
259. C2×#387C22semidirect
260. C2×#383C22semidirect
261. C2×C4×C4⋊C4C22semidirect
262. C2×C4×C4⋊C4C22semidirect
263. C2×C4×C4⋊C4C22semidirect
267. C2×C43C22semidirect
314. C2×#126D4semidirect
854. #126C2×D4semidirect
855. #126C2×D4semidirect
856. #126C2×D4semidirect
857. #126C2×D4semidirect
971. C2×C4⋊C4C2×D4semidirect
972. C2×C4⋊C4C2×D4semidirect
973. C2×C4⋊C4C2×D4semidirect
1096. C2×C42C2×D4semidirect
1776. C4#3560semidirect

Maximal subgroups

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

subgroupindex
C2×#35602
#598392
#596932
#594762
#459942
#459932
#459922
#397382
#394502
#394432
#394062
#394052
#394042
#393542
#376792
#376782
#375562
#367412
#367392
#366442
#366312
#365962
#361262
#361232
#351662
#350062
#350052
#350012
C2×C4×#1262