Finite Group Databasebeta

← #8094479

Subgroups — #8094479

Order 512.

5853 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53144C212yesmaximal, complemented
2#53116C212yesmaximal, complemented
3#53074C212yesmaximal, complemented
4#53065C212yesmaximal, complemented
5#53046C212yesmaximal, complemented
6#53032C212yesmaximal, complemented
7#53005C212yesmaximal, complemented
8#53005C212yesmaximal, complemented
9#52753C214yesmaximal, complemented
10#52530C214yesmaximal, complemented
11#46084C212yesmaximal, complemented
12#46073C212yesmaximal, complemented
13#46043C212yesmaximal, complemented
14#46043C212yesmaximal, complemented
15#46031C214yesmaximal, complemented
16#45991C214yesmaximal, complemented
17#45667C212yesmaximal, complemented
18#45667C212yesmaximal, complemented
19#45601C212yesmaximal, complemented
20#45509C212yesmaximal, complemented
21#35660C211yesmaximal, characteristic, complemented
22#35660C211yesmaximal, characteristic, complemented
23#35659C211yesmaximal, characteristic, complemented
24#35649C211yesmaximal, characteristic, complemented
25#35628C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic, complemented
27#35341C211yesmaximal, characteristic, complemented
28#35312C211yesmaximal, characteristic, complemented
29#35305C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35180C211yesmaximal, characteristic, complemented
32#35158C211yesmaximal, characteristic, complemented
33#34813C211yesmaximal, characteristic, complemented
34C2×#2489C211yesmaximal, characteristic, complemented
35#34738C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic, complemented
37C23×#41C2211yescharacteristic
38C2×#544C2211yescharacteristic, complemented
39C2×#537C2211yescharacteristic
40C2×#537C2211yescharacteristic
41C2×#536C2211yescharacteristic
42C2×#536C2211yescharacteristic
43C2×#533C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C22×#125C2211yescharacteristic, complemented
47C2×#525C2211yescharacteristic
48C2×#525C2211yescharacteristic
49C22×C22⋊Q8C2211yescharacteristic
50#2862C2212yescomplemented
51#2861C2212yescomplemented
52#2861C2212yescomplemented
53#2861C2212yescomplemented
54#2850C2214yescomplemented
55#2850C2214yescomplemented
56#2848C2212yes—
57#2848C2212yes—
58#2848C2212yes—
59#2847C2212yes—
60#2844C2214yescomplemented
61#2844C2214yescomplemented
62#2835C2214yes—
63#2835C2214yescomplemented
64#2835C2214yescomplemented
65#2832C2214yescomplemented
66#2832C2214yescomplemented
67#2832C2214yescomplemented
68#2832C2214yescomplemented
69#2832C2214yescomplemented
70#2828C2214yescomplemented
71#2828C2214yescomplemented
72#2828C2214yescomplemented
73#2828C2214yescomplemented
74#2824C2214yescomplemented
75#2824C2214yescomplemented
76#2824C2214yescomplemented
77#2824C2214yescomplemented
78#2819C2214yescomplemented
79#2812C2214yes—
80#2804C2214yescomplemented
81#2785C2214yescomplemented
82#2785C2214yescomplemented
83#2785C2214yescomplemented
84#2782C2214yes—
85#2782C2214yes—
86#2782C2214yes—
87#2782C2214yescomplemented
88#2782C2214yescomplemented
89#2782C2214yescomplemented
90#2782C2214yescomplemented
91#2782C2214yescomplemented
92#2763C2214yes—
93#2763C2214yescomplemented
94#2763C2214yescomplemented
95#2763C2214yescomplemented
96#2763C2214yescomplemented
97#2763C2214yescomplemented
98#2763C2214yescomplemented
99#2753C2214yes—
100#2753C2214yescomplemented
101#2753C2214yescomplemented
102#2753C2214yescomplemented
103#2753C2214yescomplemented
104#2753C2214yescomplemented
105#2753C2214yescomplemented
106#2753C2214yescomplemented
107#2753C2214yescomplemented
108#2753C2214yescomplemented
109#2753C2214yescomplemented
110#2753C2214yescomplemented
111#2736C2214yes—
112#2736C2214yes—
113#2733C2214yescomplemented
114#2712C2214yes—
115#2712C2214yescomplemented
116#2684C2214yes—
117#2684C2214yes—
118#2684C2214yes—
119#2670C2214yes—
120#2642C2212yescomplemented
121#2642C2212yescomplemented
122#2641C2212yescomplemented
123#2640C2212yescomplemented
124#2639C2214yescomplemented
125#2639C2214yescomplemented
126#2616C2212yes—
127#2616C2212yes—
128#2616C2212yes—
129#2615C2212yes—
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2592C2212yescomplemented
133#2592C2212yescomplemented
134#2591C2214yescomplemented
135#2591C2214yescomplemented
136#2591C2214yescomplemented
137#2568C2212yescomplemented
138#2568C2212yescomplemented
139#2568C2212yescomplemented
140#2563C2212yescomplemented
141#2563C2212yescomplemented
142#2562C2212yes—
143#2562C2212yescomplemented
144#2562C2212yescomplemented
145#2562C2212yescomplemented
146#2562C2212yescomplemented
147#2562C2212yescomplemented
148#2562C2212yescomplemented
149#2562C2212yescomplemented
150#2548C2212yescomplemented
151#2547C2212yes—
152#2547C2212yescomplemented
153#2504C2214yescomplemented
154#2492C2211yescharacteristic
155#2492C2211yescharacteristic, complemented
156#2492C2212yescomplemented
157#2492C2212yescomplemented
158#2492C2212yescomplemented
159#2492C2212yescomplemented
160#2492C2212yescomplemented
161#2492C2212yescomplemented
162#2492C2212yescomplemented
163#2491C2211yescharacteristic
164#2491C2212yes—
165#2491C2212yescomplemented
166#2491C2211yescharacteristic, complemented
167#2491C2212yescomplemented
168#2490C2211yescharacteristic
169#2490C2212yescomplemented
170#2490C2212yescomplemented
171#2490C2212yescomplemented
172#2490C2212yescomplemented
173#2490C2212yescomplemented
174#2490C2211yescharacteristic, complemented
175#2490C2212yescomplemented
176#2490C2212yescomplemented
177#2489C2212yes—
178#2489C2212yes—
179#2489C2212yes—
180#2489C2211yescharacteristic
181#2489C2212yes—
182#2489C2212yes—
183#2489C2212yescomplemented
184#2489C2212yescomplemented
185#2489C2211yescharacteristic, complemented
186#2489C2212yescomplemented
187#2489C2212yescomplemented
188#2489C2212yescomplemented
189#2489C2212yescomplemented
190#2489C2212yescomplemented
191#2489C2212yescomplemented
192#2489C2212yescomplemented
193#2489C2212yescomplemented
194#2489C2212yescomplemented
195#2489C2212yescomplemented
196#2489C2212yescomplemented
197#2489C2212yescomplemented
198#2488C2212yescomplemented
199#2488C2214yescomplemented
200#2488C2214yescomplemented
201#2488C2214yescomplemented
202#2488C2214yescomplemented
203#2488C2214yescomplemented
204#2488C2212yescomplemented
205#2472C2212yes—
206#2472C2214yes—
207#2472C2212yes—
208#2436C2211yescharacteristic
209#2436C2212yescomplemented
210#2436C2212yescomplemented
211#2435C2212yes—
212#2435C2211yescharacteristic
213#2434C2211yescharacteristic
214#2434C2212yes—
215#2434C2212yescomplemented
216#2434C2212yescomplemented
217#2433C2211yescharacteristic
218#2432C2212yes—
219#2432C2212yes—
220#2432C2211yescharacteristic
221#2432C2211yescharacteristic
222#2432C2212yescomplemented
223#2432C2212yescomplemented
224#2431C2211yescharacteristic
225#2431C2211yescharacteristic
226#2431C2212yescomplemented
227#2431C2212yescomplemented
228#2430C2212yes—
229#2430C2214yes—
230#2430C2212yes—
231#2430C2214yescomplemented
232#2430C2214yescomplemented
233#2430C2214yescomplemented
234#2430C2214yescomplemented
235#2410C2212yes—
236#2410C2214yes—
237#2410C2212yes—
238#2409C2212yes—
239#2409C2212yes—
240#2409C2212yes—
241#2409C2212yescomplemented
242#2409C2212yescomplemented
243#2409C2212yescomplemented
244#2409C2212yescomplemented
245#2409C2212yescomplemented
246#2409C2212yescomplemented
247#2408C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2406C2214yes—
259#2406C2214yescomplemented
260#2405C2214yes—
261#2404C2214yes—
262#2398C2212yes—
263#2398C2212yescomplemented
264C2×#400C2212yescomplemented
265C2×#397C2212yes—
266#2388C2212yes—
267#2388C2212yes—
268#2379C2214yes—
269#2379C2214yescomplemented
270#2379C2214yescomplemented
271#2375C2214yes—
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic, complemented
277#2311C2211yescharacteristic, complemented
278#2311C2211yescharacteristic, complemented
279#2311C2211yescharacteristic, complemented
280#2310C2211yescharacteristic, complemented
281C4×#124C2212yes—
282C4×#124C2212yescomplemented
283C4×#120C2212yes—
284C4×#120C2212yes—
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic, complemented
288#2297C2211yescharacteristic, complemented
289C2×#391C2211yescharacteristic, complemented
290C2×#391C2211yescharacteristic, complemented
291C2×#388C2212yes—
292C2×#382C2212yescomplemented
293#2280C2211yescharacteristic
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C2×2−1+4—44no—
300C2×2−1+4—44no—
301C2×2−1+4—44no—
302C22×#41—44no—
303C22×#41—44no—
304C22×#41—44no—
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2312yes—
310C22×#41C2312yes—
311C22×#41C2311yescharacteristic
312C22×#41C2311yescharacteristic
313C22×#41C2314yes—
314C22×#41C2312yes—
315C22×#41C2312yes—
316C23×Q8C2311yescharacteristic
317C23×Q8C2311yescharacteristic
318C23×Q8C2312yes—
319C23×Q8C2312yes—
320C23×D4C2312yes—
321C23×D4C2311yescharacteristic
322C24×C4C2311yescharacteristic
323C24×C4C2312yes—
324#544—44no—
325#537—44no—
326#537—44no—
327#536—44no—
328#536—44no—
329#533—44no—
330#532—44no—
331#532—44no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×#127C2311yescharacteristic
341C2×#127C2311yescharacteristic
342C2×#125—44no—
343C2×#125C2312yes—
344C2×#125C2312yes—
345C2×#125C2312yes—
346C2×#125C2311yescharacteristic
347C2×#125C2311yescharacteristic
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#124C2314yes—
352C2×#124C2314yes—
353C2×#124C2311yescharacteristic
354C2×#124C2311yescharacteristic
355C2×#124C2312yes—
356C2×#124C2311yescharacteristic
357C2×#124C2311yescharacteristic
358C2×#124C2312yes—
359C2×#124C2314yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362#525—44no—
363#525—44no—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2312yes—
368C2×C22⋊Q8—44no—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2311yescharacteristic
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2311yescharacteristic
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2311yescharacteristic
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2311yescharacteristic
397C2×#121C2312yes—
398C2×#121C2311yescharacteristic
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2311yescharacteristic
402C2×#120C2314yes—
403C2×#120C2312yes—
404C2×#120C2312yes—
405C2×#120C2312yes—
406C2×#120C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C22⋊C4C2311yescharacteristic
428C22×C22⋊C4C2312yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2312yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2312yes—
459#400C2312yes—
460#400C2314yes—
461#400C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2312yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2312yes—
494#395C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#394C2312yes—
529#394C2312yes—
530#394C2312yes—
531#394C2312yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2312yes—
537#393C2314yes—
538#393C2314yes—
539#393C2312yes—
540#393C2314yes—
541#393C2312yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2312yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2312yes—
554#393C2312yes—
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2312yes—
560#392C2312yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2312yes—
566#392C2312yes—
567#392C2314yes—
568#392C2312yes—
569#392C2314yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2314yes—
585#391C2312yes—
586#391C2312yes—
587#391C2314yes—
588#391C2314yes—
589#391C2312yes—
590#391C2314yes—
591#391C2314yes—
592#391C2314yes—
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2312yes—
596#391C2314yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#390C2312yes—
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#390C2311yescharacteristic
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#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#382C2314yes—
739#382C2314yes—
740#382C2314yes—
741#382C2314yes—
742#382C2314yes—
743#382C2314yes—
744#382C2314yes—
745#382C2314yes—
746#382C2314yes—
747#382C2314yes—
748#382C2314yes—
749#382C2312yes—
750#382C2312yes—
751#382C2314yes—
752#382C2314yes—
753#381C2314yes—
754#381C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2312yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2312yes—
783#379C2312yes—
784#379C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818#376C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2312yes—
824C2×#95C2312yes—
825C2×#95C2311yescharacteristic
826C2×#95C2312yes—
827C43C2312yes—
828C25C2411yescharacteristic
829C25C2412yes—
8302−1+4—464no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—24no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—48no—
850C2×#41—48no—
851C2×#41—48no—
852C2×#41—42no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—464no—
865C22×Q8—24no—
866C22×Q8—24no—
867C22×Q8—24no—
868C22×Q8—42no—
869C22×Q8—42no—
870C22×Q8—42no—
871C22×Q8—44no—
872C22×Q8—44no—
873C22×Q8—44no—
874C22×Q8—44no—
875C22×Q8—44no—
876C22×Q8—44no—
877C22×Q8C2412yes—
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×Q8C2411yescharacteristic
881C22×Q8C2411yescharacteristic
882C22×Q8C2411yescharacteristic
883C22×Q8C2412yes—
884C22×Q8C2412yes—
885C22×Q8C2414yes—
886C22×Q8C2414yes—
887C22×Q8C2412yes—
888C22×D4—42no—
889C22×D4—42no—
890C22×D4—42no—
891C22×D4—44no—
892C22×D4—44no—
893C22×D4—44no—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2411yescharacteristic
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2414yes—
916C23×C4—24no—
917C23×C4—24no—
918C23×C4—24no—
919C23×C4—44no—
920C23×C4—44no—
921C23×C4—44no—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2412yes—
938C23×C4C2411yescharacteristic
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2414yes—
943C23×C4C2414yes—
944C23×C4C2411yescharacteristic
945C4⋊Q8—42no—
946C4⋊Q8—42no—
947C4⋊Q8—44no—
948C4⋊Q8—44no—
949C4⋊Q8—42no—
950C4⋊Q8—42no—
951C4⋊Q8—44no—
952C4⋊Q8—44no—
953#127—42no—
954#127—42no—
955#125—44no—
956#125—44no—
957#125—44no—
958#125—44no—
959#125—42no—
960#125—42no—
961#125—44no—
962#125—44no—
963#124—48no—
964#124—48no—
965#124—42no—
966#124—42no—
967#124—42no—
968#124—42no—
969#124—44no—
970#124—44no—
971#124—48no—
972#124—44no—
973#124—44no—
974#123—44no—
975#123—44no—
976#123—48no—
977#123—48no—
978C22⋊Q8—44no—
979C22⋊Q8—44no—
980C22⋊Q8—48no—
981C22⋊Q8—44no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985C22⋊Q8—42no—
986C22⋊Q8—42no—
987C22⋊Q8—42no—
988C22⋊Q8—42no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8—44no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8—44no—
997#121—42no—
998#121—42no—
999#121—42no—
1000#121—42no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#121—44no—
1005#121—44no—
1006#121—44no—
1007#121—44no—
1008#121—44no—
1009#121—48no—
1010#121—48no—
1011#120—44no—
1012#120—44no—
1013#120—48no—
1014#120—44no—
1015#120—44no—
1016C4×Q8—44no—
1017C4×Q8—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026#117—24no—
1027#117—24no—
1028#117—24no—
1029#117—24no—
1030C2×C4⋊C4—24no—
1031C2×C4⋊C4—24no—
1032C2×C4⋊C4—24no—
1033C2×C4⋊C4—44no—
1034C2×C4⋊C4—44no—
1035C2×C4⋊C4—44no—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C22⋊C4—42no—
1080C2×C22⋊C4—42no—
1081C2×C22⋊C4—44no—
1082C2×C22⋊C4—44no—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C42—24no—
1160C2×C42—24no—
1161C2×C42—44no—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2414yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2414yes—
1181C2×C42C2414yes—
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248C24—22no—
1249C24—22no—
1250C24—22no—
1251C24—22no—
1252C24—24no—
1253C24—41no—
1254C24—42no—
1255C24—42no—
1256C24—42no—
1257C24—41no—
1258C24—41no—
1259C24—42no—
1260C24—42no—
1261C24—42no—
1262C24C2511yescharacteristic
1263C24C2512yes—
1264C24C2512yes—
1265C24C2512yes—
1266C24C2512yes—
1267C24C2511yescharacteristic
1268C24C2511yescharacteristic
1269#41—432no—
1270#41—416no—
1271#41—416no—
1272#41—432no—
1273#41—464no—
1274#41—432no—
1275#41—432no—
1276#41—416no—
1277#41—416no—
1278#41—416no—
1279#41—416no—
1280C2×Q8—24no—
1281C2×Q8—24no—
1282C2×Q8—24no—
1283C2×Q8—24no—
1284C2×Q8—22no—
1285C2×Q8—22no—
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—24no—
1291C2×Q8—24no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—24no—
1299C2×Q8—44no—
1300C2×Q8—44no—
1301C2×Q8—44no—
1302C2×Q8—42no—
1303C2×Q8—42no—
1304C2×Q8—42no—
1305C2×Q8—42no—
1306C2×Q8—42no—
1307C2×Q8—42no—
1308C2×Q8—42no—
1309C2×Q8—42no—
1310C2×Q8—44no—
1311C2×Q8—44no—
1312C2×Q8—44no—
1313C2×Q8—416no—
1314C2×Q8—432no—
1315C2×Q8—432no—
1316C2×Q8—416no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—432no—
1384C2×D4—416no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—41no—
1434C22×C4—42no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—42no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—42no—
1445C22×C4—41no—
1446C22×C4—42no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—42no—
1450C22×C4—41no—
1451C22×C4—432no—
1452C22×C4—416no—
1453C22×C4H(5,𝔽2)14yes—
1454C22×C4H(5,𝔽2)14yes—
1455C22×C4H(5,𝔽2)14yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2514yes—
1465C22×C4C2514yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2514yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2514yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—22no—
1532C22⋊C4—28no—
1533C22⋊C4—22no—
1534C22⋊C4—24no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—41no—
1540C22⋊C4—41no—
1541C22⋊C4—41no—
1542C22⋊C4—44no—
1543C22⋊C4—41no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—22no—
1608C42—22no—
1609C42—22no—
1610C42—22no—
1611C42—24no—
1612C42—24no—
1613C42—24no—
1614C42—24no—
1615C42—28no—
1616C42—44no—
1617C42—42no—
1618C42—42no—
1619C42—44no—
1620C42—42no—
1621C42—42no—
1622C42—44no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—21no—
1637C23—21no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—21no—
1650C23—22no—
1651C23—21no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—21no—
1666C23—22no—
1667C23—21no—
1668C23—44no—
1669C23—44no—
1670C23—44no—
1671C23—48no—
1672C23—44no—
1673C23—82no—
1674C23—82no—
1675C23—82no—
1676C23—84no—
1677C23—84no—
1678C23—84no—
1679C23—84no—
1680C23—84no—
1681C23—84no—
1682C23C2×H(5,𝔽2)12yes—
1683C23C2×H(5,𝔽2)12yes—
1684C23C2×H(5,𝔽2)12yes—
1685C23#58512yes—
1686C23C2611yescharacteristic
1687Q8—416no—
1688Q8—48no—
1689Q8—48no—
1690Q8—44no—
1691Q8—48no—
1692Q8—44no—
1693Q8—44no—
1694Q8—44no—
1695Q8—84no—
1696Q8—84no—
1697Q8—164no—
1698D4—48no—
1699D4—48no—
1700D4—48no—
1701D4—416no—
1702D4—48no—
1703D4—48no—
1704D4—48no—
1705D4—48no—
1706D4—44no—
1707D4—44no—
1708D4—44no—
1709D4—44no—
1710D4—84no—
1711D4—84no—
1712D4—84no—
1713D4—84no—
1714D4—84no—
1715D4—84no—
1716D4—84no—
1717D4—84no—
1718D4—164no—
1719D4—164no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—24no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—24no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—44no—
1798C2×C4—48no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—48no—
1802C2×C4—416no—
1803C2×C4—416no—
1804C2×C4—44no—
1805C2×C4—48no—
1806C2×C4—44no—
1807C2×C4—44no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—48no—
1811C2×C4—48no—
1812C2×C4—48no—
1813C2×C4—48no—
1814C2×C4—84no—
1815C2×C4—82no—
1816C2×C4—82no—
1817C2×C4—82no—
1818C2×C4—84no—
1819C2×C4H(3,𝔽4)116yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4C2×H(5,𝔽2)12yes—
1822C2×C4C2×H(5,𝔽2)12yes—
1823C2×C4C2×H(5,𝔽2)12yes—
1824C2×C4C2×H(5,𝔽2)12yes—
1825C2×C4C2×H(5,𝔽2)12yes—
1826C2×C4#58512yes—
1827C22—22no—
1828C22—22no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—41no—
1844C22—42no—
1845C22—41no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—41no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—41no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—41no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—41no—
1875C22—88no—
1876C22—816no—
1877C22C2×H(3,𝔽4)14yes—
1878C22C22×H(5,𝔽2)11yescharacteristic
1879C22C22×H(5,𝔽2)11yescharacteristic
1880C22C22×H(5,𝔽2)11yescharacteristic
1881C22C2×#58511yescharacteristic
1882C22C2×#58511yescharacteristic
1883C222−1+611yescharacteristic
1884C222−1+611yescharacteristic
1885C4—22no—
1886C4—44no—
1887C4—42no—
1888C4—42no—
1889C4—42no—
1890C4—42no—
1891C4—44no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—42no—
1898C4—42no—
1899C4—42no—
1900C4—42no—
1901C4—41no—
1902C4—41no—
1903C4—42no—
1904C4—42no—
1905C4—42no—
1906C4—42no—
1907C4—44no—
1908C4—41no—
1909C4—41no—
1910C4—44no—
1911C4C2×H(3,𝔽4)14yes—
1912C4C2×H(3,𝔽4)14yes—
1913C2—24no—
1914C2—42no—
1915C2—82no—
1916C2—82no—
1917C2—82no—
1918C2—81no—
1919C2—82no—
1920C2C22×H(3,𝔽4)11yescharacteristic
1921C2#6283011yescharacteristic
1922C2#6288811yescharacteristic
1923C2#6292511yescharacteristic
1924C2#6292711yescharacteristic
1925C2#6292711yescharacteristic
1926C2#6295411yescharacteristic
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. #53144C2semidirect
2. #53116C2semidirect
3. #53074C2semidirect
4. #53065C2semidirect
5. #53046C2semidirect
6. #53032C2semidirect
7. #53005C2semidirect
8. #53005C2semidirect
9. #52753C2semidirect
10. #52530C2semidirect
11. #46084C2semidirect
12. #46073C2semidirect
13. #46043C2semidirect
14. #46043C2semidirect
15. #46031C2semidirect
16. #45991C2semidirect
17. #45667C2semidirect
18. #45667C2semidirect
19. #45601C2semidirect
20. #45509C2semidirect
21. #35660C2semidirect
22. #35660C2semidirect
23. #35659C2semidirect
24. #35649C2semidirect
25. #35628C2semidirect
26. #35542C2semidirect
27. #35341C2semidirect
28. #35312C2semidirect
29. #35305C2semidirect
30. #35251C2semidirect
31. #35180C2semidirect
32. #35158C2semidirect
33. #34813C2semidirect
34. C2×#2489C2semidirect
35. #34738C2semidirect
36. C22×2−1+4C22semidirect
38. C2×#544C22semidirect
43. C2×#533C22semidirect
46. C22×#125C22semidirect
50. #2862C22semidirect
51. #2861C22semidirect
52. #2861C22semidirect
53. #2861C22semidirect
54. #2850C22semidirect
55. #2850C22semidirect
60. #2844C22semidirect
61. #2844C22semidirect
63. #2835C22semidirect
64. #2835C22semidirect
65. #2832C22semidirect
66. #2832C22semidirect
67. #2832C22semidirect
68. #2832C22semidirect
69. #2832C22semidirect
70. #2828C22semidirect
71. #2828C22semidirect
72. #2828C22semidirect
73. #2828C22semidirect
74. #2824C22semidirect
75. #2824C22semidirect
76. #2824C22semidirect
77. #2824C22semidirect
78. #2819C22semidirect
80. #2804C22semidirect
81. #2785C22semidirect
82. #2785C22semidirect
83. #2785C22semidirect
87. #2782C22semidirect
88. #2782C22semidirect
89. #2782C22semidirect
90. #2782C22semidirect
91. #2782C22semidirect
93. #2763C22semidirect
94. #2763C22semidirect
95. #2763C22semidirect
96. #2763C22semidirect
97. #2763C22semidirect
98. #2763C22semidirect
100. #2753C22semidirect
101. #2753C22semidirect
102. #2753C22semidirect
103. #2753C22semidirect
104. #2753C22semidirect
105. #2753C22semidirect
106. #2753C22semidirect
107. #2753C22semidirect
108. #2753C22semidirect
109. #2753C22semidirect
110. #2753C22semidirect
113. #2733C22semidirect
115. #2712C22semidirect
120. #2642C22semidirect
121. #2642C22semidirect
122. #2641C22semidirect
123. #2640C22semidirect
124. #2639C22semidirect
125. #2639C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2592C22semidirect
133. #2592C22semidirect
134. #2591C22semidirect
135. #2591C22semidirect
136. #2591C22semidirect
137. #2568C22semidirect
138. #2568C22semidirect
139. #2568C22semidirect
140. #2563C22semidirect
141. #2563C22semidirect
143. #2562C22semidirect
144. #2562C22semidirect
145. #2562C22semidirect
146. #2562C22semidirect
147. #2562C22semidirect
148. #2562C22semidirect
149. #2562C22semidirect
150. #2548C22semidirect
152. #2547C22semidirect
153. #2504C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2492C22semidirect
161. #2492C22semidirect
162. #2492C22semidirect
165. #2491C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
169. #2490C22semidirect
170. #2490C22semidirect
171. #2490C22semidirect
172. #2490C22semidirect
173. #2490C22semidirect
174. #2490C22semidirect
175. #2490C22semidirect
176. #2490C22semidirect
183. #2489C22semidirect
184. #2489C22semidirect
185. #2489C22semidirect
186. #2489C22semidirect
187. #2489C22semidirect
188. #2489C22semidirect
189. #2489C22semidirect
190. #2489C22semidirect
191. #2489C22semidirect
192. #2489C22semidirect
193. #2489C22semidirect
194. #2489C22semidirect
195. #2489C22semidirect
196. #2489C22semidirect
197. #2489C22semidirect
198. #2488C22semidirect
199. #2488C22semidirect
200. #2488C22semidirect
201. #2488C22semidirect
202. #2488C22semidirect
203. #2488C22semidirect
204. #2488C22semidirect
209. #2436C22semidirect
210. #2436C22semidirect
215. #2434C22semidirect
216. #2434C22semidirect
222. #2432C22semidirect
223. #2432C22semidirect
226. #2431C22semidirect
227. #2431C22semidirect
231. #2430C22semidirect
232. #2430C22semidirect
233. #2430C22semidirect
234. #2430C22semidirect
241. #2409C22semidirect
242. #2409C22semidirect
243. #2409C22semidirect
244. #2409C22semidirect
245. #2409C22semidirect
246. #2409C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
259. #2406C22semidirect
263. #2398C22semidirect
264. C2×#400C22semidirect
269. #2379C22semidirect
270. #2379C22semidirect
276. #2311C22semidirect
277. #2311C22semidirect
278. #2311C22semidirect
279. #2311C22semidirect
280. #2310C22semidirect
282. C4×#124C22semidirect
287. #2297C22semidirect
288. #2297C22semidirect
289. C2×#391C22semidirect
290. C2×#391C22semidirect
292. C2×#382C22semidirect
295. #2274C22semidirect
296. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#531442
#531162
#530742
#530652
#530462
#530322
#530052
#527532
#525302
#460842
#460732
#460432
#460312
#459912
#456672
#456012
#455092
#356602
#356592
#356492
#356282
#355422
#353412
#353122
#353052
#352512
#351802
#351582
#348132
C2×#24892
#347382