Finite Group Databasebeta

← #8094808

Subgroups — #8094808

Order 512.

6439 conjugacy classes of subgroups.

The subgroup lattice has 2029 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53116C212yesmaximal, complemented
2#53116C212yesmaximal, complemented
3#53080C212yesmaximal, complemented
4#53046C212yesmaximal, complemented
5#53046C212yesmaximal, complemented
6#53015C212yesmaximal, complemented
7#52990C212yesmaximal, complemented
8#52967C212yesmaximal, complemented
9#52410C214yesmaximal, complemented
10#52395C214yesmaximal, complemented
11#46054C212yesmaximal, complemented
12#46043C212yesmaximal, complemented
13#46031C214yesmaximal, complemented
14#46016C212yesmaximal, complemented
15#45996C212yesmaximal, complemented
16#45977C214yesmaximal, complemented
17#45645C212yesmaximal, complemented
18#45601C212yesmaximal, complemented
19#45601C212yesmaximal, complemented
20#45479C212yesmaximal, complemented
21#35592C211yesmaximal, characteristic, complemented
22#35556C211yesmaximal, characteristic, complemented
23#35542C211yesmaximal, characteristic, complemented
24#35513C211yesmaximal, characteristic, complemented
25#35513C211yesmaximal, characteristic, complemented
26#35512C211yesmaximal, characteristic, complemented
27#35289C211yesmaximal, characteristic, complemented
28#35264C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic, complemented
30#35250C211yesmaximal, characteristic, complemented
31#35180C211yesmaximal, characteristic, complemented
32#35158C211yesmaximal, characteristic, complemented
33#34813C211yesmaximal, characteristic, complemented
34C2×#2491C211yesmaximal, characteristic, complemented
35#34738C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2211yescharacteristic, complemented
37C23×#41C2211yescharacteristic, complemented
38C2×H(3,𝔽4)C2214yescomplemented
39C2×#544C2211yescharacteristic, complemented
40C2×#537C2211yescharacteristic
41C2×#537C2211yescharacteristic
42C2×#535C2211yescharacteristic
43C2×#535C2211yescharacteristic
44C2×#533C2211yescharacteristic, complemented
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C22×C4⋊Q8C2211yescharacteristic, complemented
48C22×#124C2212yescomplemented
49C2×#525C2211yescharacteristic
50C2×#525C2211yescharacteristic
51C22×#121C2211yescharacteristic
52#2862C2212yescomplemented
53#2861C2212yescomplemented
54#2858C2212yescomplemented
55#2858C2212yescomplemented
56#2850C2214yescomplemented
57#2850C2214yescomplemented
58#2848C2212yescomplemented
59#2847C2212yescomplemented
60#2847C2212yescomplemented
61#2847C2212yescomplemented
62#2840C2214yescomplemented
63#2832C2214yescomplemented
64#2832C2214yescomplemented
65#2832C2214yescomplemented
66#2828C2214yescomplemented
67#2828C2214yescomplemented
68#2828C2214yescomplemented
69#2828C2214yescomplemented
70#2824C2214yescomplemented
71#2824C2214yescomplemented
72#2824C2214yescomplemented
73#2824C2214yescomplemented
74#2824C2214yescomplemented
75#2819C2214yescomplemented
76#2819C2214yescomplemented
77#2819C2214yescomplemented
78#2819C2214yescomplemented
79#2819C2214yescomplemented
80#2812C2214yescomplemented
81#2812C2214yescomplemented
82#2804C2214yescomplemented
83#2804C2214yescomplemented
84#2785C2214yescomplemented
85#2782C2214yescomplemented
86#2782C2214yescomplemented
87#2763C2214yescomplemented
88#2763C2214yescomplemented
89#2753C2214yescomplemented
90#2753C2214yescomplemented
91#2753C2214yescomplemented
92#2753C2214yescomplemented
93#2753C2214yescomplemented
94#2753C2214yescomplemented
95#2736C2214yescomplemented
96#2733C2214yescomplemented
97#2733C2214yescomplemented
98#2733C2214yescomplemented
99#2712C2214yescomplemented
100#2712C2214yescomplemented
101#2712C2214yescomplemented
102#2712C2214yescomplemented
103#2712C2214yescomplemented
104#2712C2214yescomplemented
105#2712C2214yescomplemented
106#2684C2214yescomplemented
107#2684C2214yescomplemented
108#2684C2214yescomplemented
109#2684C2214yescomplemented
110#2684C2214yescomplemented
111#2684C2214yescomplemented
112#2684C2214yescomplemented
113#2679C2214yescomplemented
114#2670C2214yescomplemented
115#2670C2214yescomplemented
116#2670C2214yescomplemented
117#2670C2214yescomplemented
118#2670C2214yescomplemented
119#2670C2214yescomplemented
120#2670C2214yescomplemented
121#2670C2214yescomplemented
122#2641C2212yescomplemented
123#2640C2212yescomplemented
124#2640C2212yescomplemented
125#2640C2212yescomplemented
126#2639C2214yescomplemented
127#2639C2214yescomplemented
128#2616C2212yescomplemented
129#2615C2212yescomplemented
130#2615C2212yescomplemented
131#2615C2212yescomplemented
132#2592C2212yescomplemented
133#2592C2212yescomplemented
134#2592C2212yescomplemented
135#2592C2212yescomplemented
136#2591C2214yescomplemented
137#2568C2212yescomplemented
138#2563C2212yescomplemented
139#2563C2212yescomplemented
140#2563C2212yescomplemented
141#2563C2212yescomplemented
142#2562C2212yescomplemented
143#2562C2212yescomplemented
144#2562C2212yescomplemented
145#2562C2212yescomplemented
146#2548C2212yescomplemented
147#2548C2212yescomplemented
148#2548C2212yescomplemented
149#2547C2212yescomplemented
150#2547C2212yescomplemented
151#2547C2212yescomplemented
152#2547C2212yescomplemented
153#2504C2214yescomplemented
154#2492C2212yescomplemented
155#2492C2212yescomplemented
156#2492C2212yescomplemented
157#2492C2212yescomplemented
158#2492C2211yescharacteristic, complemented
159#2492C2212yescomplemented
160#2492C2211yescharacteristic, complemented
161#2492C2212yescomplemented
162#2492C2212yescomplemented
163#2491C2212yescomplemented
164#2491C2212yescomplemented
165#2491C2212yescomplemented
166#2491C2212yescomplemented
167#2491C2211yescharacteristic, complemented
168#2491C2212yescomplemented
169#2491C2212yescomplemented
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2491C2212yescomplemented
173#2491C2212yescomplemented
174#2491C2212yescomplemented
175#2491C2212yescomplemented
176#2491C2212yescomplemented
177#2491C2212yescomplemented
178#2491C2212yescomplemented
179#2491C2212yescomplemented
180#2491C2211yescharacteristic, complemented
181#2491C2212yescomplemented
182#2491C2212yescomplemented
183#2491C2212yescomplemented
184#2490C2212yescomplemented
185#2490C2212yescomplemented
186#2490C2212yescomplemented
187#2490C2212yescomplemented
188#2490C2211yescharacteristic, complemented
189#2490C2212yescomplemented
190#2490C2212yescomplemented
191#2490C2212yescomplemented
192#2490C2211yescharacteristic, complemented
193#2489C2211yescharacteristic, complemented
194#2489C2212yescomplemented
195#2489C2211yescharacteristic, complemented
196#2489C2212yescomplemented
197#2489C2212yescomplemented
198#2488C2212yescomplemented
199#2488C2214yescomplemented
200#2488C2212yescomplemented
201#2472C2212yescomplemented
202#2472C2214yescomplemented
203#2472C2214yescomplemented
204#2472C2214yescomplemented
205#2472C2214yescomplemented
206#2472C2212yescomplemented
207#2472C2214yescomplemented
208#2436C2214yescomplemented
209#2436C2214yescomplemented
210#2436C2211yescharacteristic, complemented
211#2436C2212yescomplemented
212#2435C2211yescharacteristic, complemented
213#2435C2212yescomplemented
214#2435C2212yescomplemented
215#2434C2211yescharacteristic, complemented
216#2433C2212yescomplemented
217#2433C2212yescomplemented
218#2433C2211yescharacteristic, complemented
219#2433C2212yescomplemented
220#2432C2211yescharacteristic, complemented
221#2432C2212yescomplemented
222#2432C2211yescharacteristic, complemented
223#2432C2212yescomplemented
224#2431C2212yescomplemented
225#2431C2212yescomplemented
226#2431C2211yescharacteristic, complemented
227#2431C2212yescomplemented
228#2431C2212yescomplemented
229#2431C2211yescharacteristic, complemented
230#2430C2212yescomplemented
231#2430C2214yescomplemented
232#2430C2212yescomplemented
233#2410C2212yescomplemented
234#2410C2214yescomplemented
235#2410C2214yescomplemented
236#2410C2214yescomplemented
237#2410C2214yescomplemented
238#2410C2212yescomplemented
239#2410C2214yescomplemented
240#2409C2212yescomplemented
241#2408C2212yes—
242#2408C2212yes—
243#2408C2212yescomplemented
244#2408C2212yescomplemented
245#2408C2212yescomplemented
246#2408C2212yescomplemented
247#2408C2212yescomplemented
248#2408C2212yescomplemented
249#2408C2212yescomplemented
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2407C2212yescomplemented
259#2407C2212yescomplemented
260#2405C2214yescomplemented
261#2404C2214yescomplemented
262#2403C2214yes—
263#2403C2214yescomplemented
264#2398C2212yescomplemented
265#2398C2212yescomplemented
266#2388C2212yescomplemented
267#2388C2212yescomplemented
268C2×#394C2212yescomplemented
269C2×#393C2212yescomplemented
270#2379C2214yescomplemented
271#2379C2214yescomplemented
272#2375C2214yescomplemented
273#2311C2211yescharacteristic, complemented
274#2311C2211yescharacteristic, complemented
275#2311C2211yescharacteristic, complemented
276#2311C2211yescharacteristic, complemented
277#2311C2211yescharacteristic, complemented
278#2311C2211yescharacteristic, complemented
279#2311C2211yescharacteristic, complemented
280#2311C2211yescharacteristic, complemented
281#2309C2211yescharacteristic, complemented
282C4×#124C2212yescomplemented
283C4×#124C2212yescomplemented
284C4×#120C2212yescomplemented
285C4×#120C2212yescomplemented
286#2297C2211yescharacteristic, complemented
287#2297C2211yescharacteristic, complemented
288#2297C2211yescharacteristic, complemented
289#2297C2211yescharacteristic, complemented
290C2×#390C2211yescharacteristic, complemented
291C2×#390C2211yescharacteristic, complemented
292C2×#388C2212yescomplemented
293#2280C2211yescharacteristic, complemented
294C2×#380C2211yescharacteristic, complemented
295#2274C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic, complemented
299C2×H(5,𝔽2)—44no—
300C2×H(5,𝔽2)—44no—
301C2×H(5,𝔽2)—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×#41C2312yes—
314C22×#41C2312yes—
315C23×Q8C2311yescharacteristic
316C23×Q8C2312yes—
317C23×D4C2311yescharacteristic
318C23×D4C2312yes—
319C23×D4C2311yescharacteristic
320C23×D4C2314yes—
321C23×D4C2312yes—
322C23×D4C2312yes—
323C23×D4C2312yes—
324C24×C4C2311yescharacteristic
325C24×C4C2312yes—
326H(3,𝔽4)—416no—
327#544—44no—
328#537—44no—
329#537—44no—
330#535—44no—
331#535—44no—
332#533—44no—
333#532—44no—
334#532—44no—
335C2×C4⋊Q8—44no—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350C2×#125C2311yescharacteristic
351C2×#125C2311yescharacteristic
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#124—48no—
355C2×#124C2314yes—
356C2×#124C2312yes—
357C2×#124C2314yes—
358C2×#124C2312yes—
359C2×#124C2314yes—
360C2×#124C2314yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#124C2314yes—
364C2×#124C2311yescharacteristic
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2314yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378#525—44no—
379#525—44no—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×#121—44no—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2311yescharacteristic
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2311yescharacteristic
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#120C2312yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2312yes—
421C2×#120C2312yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426C2×#120C2314yes—
427C2×#120C2312yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2312yes—
449C22×C22⋊C4C2311yescharacteristic
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2312yes—
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2312yes—
457C22×C42C2311yescharacteristic
458C22×C42C2311yescharacteristic
459C22×C42C2312yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2312yes—
465#400C2314yes—
466#400C2312yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2312yes—
471#400C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2312yes—
489#397C2314yes—
490#395C2314yes—
491#395C2312yes—
492#395C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
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#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2312yes—
547#393C2312yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2312yes—
560#393C2314yes—
561#393C2312yes—
562#393C2314yes—
563#393C2312yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2312yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2312yes—
573#392C2312yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2312yes—
589#392C2312yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2312yes—
594#392C2312yes—
595#392C2314yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2314yes—
605#391C2314yes—
606#391C2314yes—
607#391C2314yes—
608#391C2311yescharacteristic
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2314yes—
612#391C2314yes—
613#391C2314yes—
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2311yescharacteristic
618#391C2311yescharacteristic
619#391C2312yes—
620#391C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2314yes—
638#390C2314yes—
639#390C2312yes—
640#390C2312yes—
641#390C2311yescharacteristic
642#390C2312yes—
643#390C2314yes—
644#390C2314yes—
645#390C2314yes—
646#390C2312yes—
647#390C2311yescharacteristic
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2311yescharacteristic
653#390C2311yescharacteristic
654#390C2311yescharacteristic
655#390C2311yescharacteristic
656#390C2312yes—
657#390C2312yes—
658#390C2311yescharacteristic
659#390C2311yescharacteristic
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2314yes—
693#388C2312yes—
694#388C2314yes—
695#388C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#382C2314yes—
749#382C2314yes—
750#382C2314yes—
751#382C2314yes—
752#382C2312yes—
753#382C2314yes—
754#382C2312yes—
755#381C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2312yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2312yes—
788#379C2314yes—
789#379C2312yes—
790#379C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824#376C2312yes—
825C2×#95C2312yes—
826C2×#95C2311yescharacteristic
827C2×#95C2312yes—
828C2×#95C2311yescharacteristic
829C43C2312yes—
830C25C2411yescharacteristic
831C25C2412yes—
832C25C2412yes—
833C25C2414yes—
834H(5,𝔽2)—464no—
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—24no—
844C2×#41—24no—
845C2×#41—24no—
846C2×#41—24no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—464no—
866C22×Q8—44no—
867C22×Q8—42no—
868C22×Q8—42no—
869C22×Q8—42no—
870C22×Q8—44no—
871C22×Q8—82no—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2414yes—
878C22×Q8C2412yes—
879C22×Q8C2414yes—
880C22×Q8C2414yes—
881C22×Q8C2412yes—
882C22×D4—24no—
883C22×D4—24no—
884C22×D4—24no—
885C22×D4—42no—
886C22×D4—42no—
887C22×D4—42no—
888C22×D4—44no—
889C22×D4—44no—
890C22×D4—44no—
891C22×D4—44no—
892C22×D4—44no—
893C22×D4—44no—
894C22×D4—44no—
895C22×D4—44no—
896C22×D4—44no—
897C22×D4—44no—
898C22×D4—48no—
899C22×D4—48no—
900C22×D4—48no—
901C22×D4—44no—
902C22×D4—82no—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2411yescharacteristic
909C22×D4C2412yes—
910C22×D4C2411yescharacteristic
911C22×D4C2411yescharacteristic
912C22×D4C2411yescharacteristic
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2414yes—
919C22×D4C2412yes—
920C22×D4C2412yes—
921C22×D4C2412yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2414yes—
926C22×D4C2414yes—
927C22×D4C2414yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C22×D4C2414yes—
931C22×D4C2412yes—
932C22×D4C2412yes—
933C22×D4C2412yes—
934C23×C4—24no—
935C23×C4—24no—
936C23×C4—24no—
937C23×C4—44no—
938C23×C4—44no—
939C23×C4—44no—
940C23×C4C2411yescharacteristic
941C23×C4C2412yes—
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2411yescharacteristic
950C23×C4C2411yescharacteristic
951C23×C4C2411yescharacteristic
952C23×C4C2412yes—
953C23×C4C2412yes—
954C23×C4C2411yescharacteristic
955C23×C4C2412yes—
956C23×C4C2412yes—
957C23×C4C2412yes—
958C23×C4C2412yes—
959C23×C4C2414yes—
960C23×C4C2411yescharacteristic
961C4⋊Q8—44no—
962C4⋊Q8—44no—
963C4⋊Q8—44no—
964C4⋊Q8—44no—
965C4⋊Q8—42no—
966C4⋊Q8—42no—
967C4⋊Q8—44no—
968C4⋊Q8—44no—
969C4⋊Q8—42no—
970C4⋊Q8—42no—
971#127—42no—
972#127—42no—
973#127—44no—
974#127—44no—
975#125—42no—
976#125—42no—
977#125—44no—
978#125—44no—
979#124—216no—
980#124—28no—
981#124—48no—
982#124—48no—
983#124—44no—
984#124—48no—
985#124—48no—
986#124—42no—
987#124—42no—
988#124—42no—
989#124—42no—
990#124—44no—
991#124—44no—
992#124—48no—
993#124—48no—
994#124—48no—
995#124—48no—
996#124—48no—
997#124—48no—
998#124—48no—
999#124—84no—
1000#124—84no—
1001#124—84no—
1002#123—44no—
1003#123—44no—
1004C22⋊Q8—44no—
1005C22⋊Q8—44no—
1006C22⋊Q8—48no—
1007C22⋊Q8—42no—
1008C22⋊Q8—42no—
1009C22⋊Q8—42no—
1010C22⋊Q8—42no—
1011C22⋊Q8—44no—
1012C22⋊Q8—44no—
1013C22⋊Q8—44no—
1014C22⋊Q8—44no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—42no—
1020#121—42no—
1021#121—42no—
1022#121—42no—
1023#121—44no—
1024#121—44no—
1025#121—44no—
1026#121—44no—
1027#121—44no—
1028#121—44no—
1029#121—44no—
1030#121—44no—
1031#121—44no—
1032#121—44no—
1033#121—44no—
1034#121—44no—
1035#121—48no—
1036#121—48no—
1037#120—28no—
1038#120—44no—
1039#120—48no—
1040#120—48no—
1041#120—48no—
1042#120—44no—
1043#120—44no—
1044#120—48no—
1045#120—48no—
1046#120—48no—
1047#120—48no—
1048#120—48no—
1049#120—84no—
1050#120—84no—
1051#120—84no—
1052C4×Q8—44no—
1053C4×Q8—44no—
1054C4×D4—44no—
1055C4×D4—44no—
1056C4×D4—44no—
1057C4×D4—44no—
1058C4×D4—44no—
1059C4×D4—44no—
1060C4×D4—44no—
1061C4×D4—44no—
1062#117—24no—
1063#117—24no—
1064#117—24no—
1065#117—24no—
1066C2×C4⋊C4—24no—
1067C2×C4⋊C4—24no—
1068C2×C4⋊C4—24no—
1069C2×C4⋊C4—44no—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C22⋊C4—24no—
1106C2×C22⋊C4—42no—
1107C2×C22⋊C4—44no—
1108C2×C22⋊C4—44no—
1109C2×C22⋊C4—44no—
1110C2×C22⋊C4—44no—
1111C2×C22⋊C4—44no—
1112C2×C22⋊C4—82no—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C42—24no—
1202C2×C42—24no—
1203C2×C42—44no—
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2412yes—
1215C2×C42C2414yes—
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2414yes—
1220C2×C42C2412yes—
1221C2×C42C2414yes—
1222C2×C42C2414yes—
1223C2×C42C2412yes—
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278C24—22no—
1279C24—22no—
1280C24—22no—
1281C24—22no—
1282C24—24no—
1283C24—24no—
1284C24—24no—
1285C24—24no—
1286C24—41no—
1287C24—42no—
1288C24—42no—
1289C24—42no—
1290C24—41no—
1291C24—41no—
1292C24—44no—
1293C24—44no—
1294C24—44no—
1295C24—42no—
1296C24—42no—
1297C24—42no—
1298C24—42no—
1299C24—42no—
1300C24—42no—
1301C24—42no—
1302C24—44no—
1303C24—44no—
1304C24—44no—
1305C24—44no—
1306C24C2514yes—
1307C24C2512yes—
1308C24C2512yes—
1309C24C2511yescharacteristic
1310C24C2512yes—
1311C24C2512yes—
1312C24C2511yescharacteristic
1313C24C2511yescharacteristic
1314#41—432no—
1315#41—416no—
1316#41—416no—
1317#41—432no—
1318#41—432no—
1319#41—432no—
1320#41—416no—
1321#41—416no—
1322#41—416no—
1323#41—416no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—22no—
1335C2×Q8—22no—
1336C2×Q8—24no—
1337C2×Q8—28no—
1338C2×Q8—42no—
1339C2×Q8—42no—
1340C2×Q8—42no—
1341C2×Q8—42no—
1342C2×Q8—42no—
1343C2×Q8—44no—
1344C2×Q8—42no—
1345C2×Q8—42no—
1346C2×Q8—44no—
1347C2×Q8—44no—
1348C2×Q8—44no—
1349C2×Q8—44no—
1350C2×Q8—42no—
1351C2×Q8—44no—
1352C2×Q8—44no—
1353C2×Q8—44no—
1354C2×Q8—416no—
1355C2×Q8—816no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—28no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—432no—
1450C2×D4—416no—
1451C2×D4—464no—
1452C2×D4—432no—
1453C2×D4—432no—
1454C2×D4—416no—
1455C2×D4—816no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—22no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—42no—
1509C22×C4—41no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—41no—
1513C22×C4—42no—
1514C22×C4—41no—
1515C22×C4—42no—
1516C22×C4—432no—
1517C22×C4—416no—
1518C22×C4H(5,𝔽2)14yes—
1519C22×C4H(5,𝔽2)14yes—
1520C22×C4H(5,𝔽2)14yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2512yes—
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2514yes—
1536C22×C4C2512yes—
1537C22×C4C2512yes—
1538C22×C4C2512yes—
1539C22×C4C2512yes—
1540C22×C4C2514yes—
1541C22×C4C2514yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2511yescharacteristic
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—22no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4—42no—
1572C4⋊C4—42no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—42no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C22⋊C4—22no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—28no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—22no—
1599C22⋊C4—28no—
1600C22⋊C4—22no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—41no—
1604C22⋊C4—44no—
1605C22⋊C4—41no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—44no—
1670C22⋊C4H(5,𝔽2)14yescomplemented
1671C42—22no—
1672C42—22no—
1673C42—22no—
1674C42—22no—
1675C42—22no—
1676C42—22no—
1677C42—22no—
1678C42—22no—
1679C42—28no—
1680C42—24no—
1681C42—24no—
1682C42—24no—
1683C42—24no—
1684C42—24no—
1685C42—24no—
1686C42—44no—
1687C42—42no—
1688C42—44no—
1689C42—42no—
1690C42—44no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—24no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—21no—
1708C23—21no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—24no—
1720C23—24no—
1721C23—24no—
1722C23—21no—
1723C23—22no—
1724C23—22no—
1725C23—21no—
1726C23—22no—
1727C23—24no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—24no—
1736C23—21no—
1737C23—21no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—24no—
1742C23—22no—
1743C23—44no—
1744C23—44no—
1745C23—44no—
1746C23—48no—
1747C23—416no—
1748C23—44no—
1749C23—48no—
1750C23—82no—
1751C23—82no—
1752C23—82no—
1753C23—84no—
1754C23—84no—
1755C23—84no—
1756C23—84no—
1757C23—84no—
1758C23—84no—
1759C23—84no—
1760C23—84no—
1761C23—84no—
1762C23—84no—
1763C23—84no—
1764C23—84no—
1765C23—164no—
1766C23—164no—
1767C23—164no—
1768C23—164no—
1769C23—164no—
1770C23—164no—
1771C23C2×H(5,𝔽2)12yes—
1772C23C2×H(5,𝔽2)12yes—
1773C23C2×H(5,𝔽2)12yes—
1774C23C2×H(5,𝔽2)12yes—
1775C23C2611yescharacteristic
1776Q8—48no—
1777Q8—44no—
1778Q8—44no—
1779Q8—44no—
1780Q8—44no—
1781Q8—84no—
1782Q8—88no—
1783Q8—84no—
1784Q8—88no—
1785Q8—164no—
1786D4—416no—
1787D4—416no—
1788D4—48no—
1789D4—48no—
1790D4—48no—
1791D4—48no—
1792D4—48no—
1793D4—48no—
1794D4—48no—
1795D4—48no—
1796D4—44no—
1797D4—48no—
1798D4—44no—
1799D4—44no—
1800D4—44no—
1801D4—84no—
1802D4—84no—
1803D4—84no—
1804D4—84no—
1805D4—84no—
1806D4—88no—
1807D4—84no—
1808D4—84no—
1809D4—84no—
1810D4—88no—
1811D4—164no—
1812D4—164no—
1813D4—164no—
1814D4—164no—
1815D4—164no—
1816D4—164no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—24no—
1850C2×C4—24no—
1851C2×C4—24no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—24no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—24no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—24no—
1882C2×C4—21no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—44no—
1890C2×C4—44no—
1891C2×C4—44no—
1892C2×C4—48no—
1893C2×C4—48no—
1894C2×C4—48no—
1895C2×C4—48no—
1896C2×C4—416no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—48no—
1903C2×C4—48no—
1904C2×C4—48no—
1905C2×C4—48no—
1906C2×C4—84no—
1907C2×C4—82no—
1908C2×C4—84no—
1909C2×C4H(3,𝔽4)116yescomplemented
1910C2×C4C2×H(5,𝔽2)12yes—
1911C2×C4C2×H(5,𝔽2)12yes—
1912C2×C4C2×H(5,𝔽2)12yes—
1913C2×C4C2×H(5,𝔽2)12yes—
1914C2×C4C2×H(5,𝔽2)12yes—
1915C2×C4C2×H(5,𝔽2)12yes—
1916C2×C4C2×H(5,𝔽2)12yes—
1917C2×C4C2×H(5,𝔽2)12yes—
1918C2×C4#58512yes—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—22no—
1923C22—22no—
1924C22—22no—
1925C22—22no—
1926C22—22no—
1927C22—22no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—44no—
1937C22—41no—
1938C22—41no—
1939C22—42no—
1940C22—42no—
1941C22—44no—
1942C22—42no—
1943C22—42no—
1944C22—41no—
1945C22—44no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—44no—
1955C22—41no—
1956C22—41no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—44no—
1962C22—42no—
1963C22—42no—
1964C22—41no—
1965C22—44no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—41no—
1972C22—44no—
1973C22—42no—
1974C22—88no—
1975C22—816no—
1976C22—168no—
1977C22—1616no—
1978C22C2×H(3,𝔽4)14yes—
1979C22C22×H(5,𝔽2)11yescharacteristic
1980C22C22×H(5,𝔽2)11yescharacteristic
1981C22C22×H(5,𝔽2)11yescharacteristic
1982C22C22×H(5,𝔽2)11yescharacteristic
1983C22C2×#58511yescharacteristic
1984C22H(7,𝔽2)11yescharacteristic
1985C222−1+611yescharacteristic
1986C4—22no—
1987C4—22no—
1988C4—22no—
1989C4—44no—
1990C4—42no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—44no—
1995C4—41no—
1996C4—44no—
1997C4—41no—
1998C4—42no—
1999C4—42no—
2000C4—41no—
2001C4—41no—
2002C4—42no—
2003C4—42no—
2004C4—41no—
2005C4—42no—
2006C4—42no—
2007C4—41no—
2008C4—42no—
2009C4—42no—
2010C4—41no—
2011C4C2×H(3,𝔽4)14yes—
2012C4C2×H(3,𝔽4)14yes—
2013C2—24no—
2014C2—42no—
2015C2—82no—
2016C2—82no—
2017C2—81no—
2018C2—82no—
2019C2—82no—
2020C2—84no—
2021C2C22×H(3,𝔽4)11yescharacteristic
2022C2#6283411yescharacteristic
2023C2#6287811yescharacteristic
2024C2#6291211yescharacteristic
2025C2#6291411yescharacteristic
2026C2#6293011yescharacteristic
2027C2#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. #53116C2semidirect
2. #53116C2semidirect
3. #53080C2semidirect
4. #53046C2semidirect
5. #53046C2semidirect
6. #53015C2semidirect
7. #52990C2semidirect
8. #52967C2semidirect
9. #52410C2semidirect
10. #52395C2semidirect
11. #46054C2semidirect
12. #46043C2semidirect
13. #46031C2semidirect
14. #46016C2semidirect
15. #45996C2semidirect
16. #45977C2semidirect
17. #45645C2semidirect
18. #45601C2semidirect
19. #45601C2semidirect
20. #45479C2semidirect
21. #35592C2semidirect
22. #35556C2semidirect
23. #35542C2semidirect
24. #35513C2semidirect
25. #35513C2semidirect
26. #35512C2semidirect
27. #35289C2semidirect
28. #35264C2semidirect
29. #35251C2semidirect
30. #35250C2semidirect
31. #35180C2semidirect
32. #35158C2semidirect
33. #34813C2semidirect
34. C2×#2491C2semidirect
35. #34738C2semidirect
36. C22×H(5,𝔽2)C22semidirect
37. C23×#41C22semidirect
38. C2×H(3,𝔽4)C22semidirect
39. C2×#544C22semidirect
44. C2×#533C22semidirect
47. C22×C4⋊Q8C22semidirect
48. C22×#124C22semidirect
52. #2862C22semidirect
53. #2861C22semidirect
54. #2858C22semidirect
55. #2858C22semidirect
56. #2850C22semidirect
57. #2850C22semidirect
58. #2848C22semidirect
59. #2847C22semidirect
60. #2847C22semidirect
61. #2847C22semidirect
62. #2840C22semidirect
63. #2832C22semidirect
64. #2832C22semidirect
65. #2832C22semidirect
66. #2828C22semidirect
67. #2828C22semidirect
68. #2828C22semidirect
69. #2828C22semidirect
70. #2824C22semidirect
71. #2824C22semidirect
72. #2824C22semidirect
73. #2824C22semidirect
74. #2824C22semidirect
75. #2819C22semidirect
76. #2819C22semidirect
77. #2819C22semidirect
78. #2819C22semidirect
79. #2819C22semidirect
80. #2812C22semidirect
81. #2812C22semidirect
82. #2804C22semidirect
83. #2804C22semidirect
84. #2785C22semidirect
85. #2782C22semidirect
86. #2782C22semidirect
87. #2763C22semidirect
88. #2763C22semidirect
89. #2753C22semidirect
90. #2753C22semidirect
91. #2753C22semidirect
92. #2753C22semidirect
93. #2753C22semidirect
94. #2753C22semidirect
95. #2736C22semidirect
96. #2733C22semidirect
97. #2733C22semidirect
98. #2733C22semidirect
99. #2712C22semidirect
100. #2712C22semidirect
101. #2712C22semidirect
102. #2712C22semidirect
103. #2712C22semidirect
104. #2712C22semidirect
105. #2712C22semidirect
106. #2684C22semidirect
107. #2684C22semidirect
108. #2684C22semidirect
109. #2684C22semidirect
110. #2684C22semidirect
111. #2684C22semidirect
112. #2684C22semidirect
113. #2679C22semidirect
114. #2670C22semidirect
115. #2670C22semidirect
116. #2670C22semidirect
117. #2670C22semidirect
118. #2670C22semidirect
119. #2670C22semidirect
120. #2670C22semidirect
121. #2670C22semidirect
122. #2641C22semidirect
123. #2640C22semidirect
124. #2640C22semidirect
125. #2640C22semidirect
126. #2639C22semidirect
127. #2639C22semidirect
128. #2616C22semidirect
129. #2615C22semidirect
130. #2615C22semidirect
131. #2615C22semidirect
132. #2592C22semidirect
133. #2592C22semidirect
134. #2592C22semidirect
135. #2592C22semidirect
136. #2591C22semidirect
137. #2568C22semidirect
138. #2563C22semidirect
139. #2563C22semidirect
140. #2563C22semidirect
141. #2563C22semidirect
142. #2562C22semidirect
143. #2562C22semidirect
144. #2562C22semidirect
145. #2562C22semidirect
146. #2548C22semidirect
147. #2548C22semidirect
148. #2548C22semidirect
149. #2547C22semidirect
150. #2547C22semidirect
151. #2547C22semidirect
152. #2547C22semidirect
153. #2504C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2492C22semidirect
161. #2492C22semidirect
162. #2492C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
165. #2491C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
176. #2491C22semidirect
177. #2491C22semidirect
178. #2491C22semidirect
179. #2491C22semidirect
180. #2491C22semidirect
181. #2491C22semidirect
182. #2491C22semidirect
183. #2491C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2490C22semidirect
188. #2490C22semidirect
189. #2490C22semidirect
190. #2490C22semidirect
191. #2490C22semidirect
192. #2490C22semidirect
193. #2489C22semidirect
194. #2489C22semidirect
195. #2489C22semidirect
196. #2489C22semidirect
197. #2489C22semidirect
198. #2488C22semidirect
199. #2488C22semidirect
200. #2488C22semidirect
201. #2472C22semidirect
202. #2472C22semidirect
203. #2472C22semidirect
204. #2472C22semidirect
205. #2472C22semidirect
206. #2472C22semidirect
207. #2472C22semidirect
208. #2436C22semidirect
209. #2436C22semidirect
210. #2436C22semidirect
211. #2436C22semidirect
212. #2435C22semidirect
213. #2435C22semidirect
214. #2435C22semidirect
215. #2434C22semidirect
216. #2433C22semidirect
217. #2433C22semidirect
218. #2433C22semidirect
219. #2433C22semidirect
220. #2432C22semidirect
221. #2432C22semidirect
222. #2432C22semidirect
223. #2432C22semidirect
224. #2431C22semidirect
225. #2431C22semidirect
226. #2431C22semidirect
227. #2431C22semidirect
228. #2431C22semidirect
229. #2431C22semidirect
230. #2430C22semidirect
231. #2430C22semidirect
232. #2430C22semidirect
233. #2410C22semidirect
234. #2410C22semidirect
235. #2410C22semidirect
236. #2410C22semidirect
237. #2410C22semidirect
238. #2410C22semidirect
239. #2410C22semidirect
240. #2409C22semidirect
243. #2408C22semidirect
244. #2408C22semidirect
245. #2408C22semidirect
246. #2408C22semidirect
247. #2408C22semidirect
248. #2408C22semidirect
249. #2408C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
260. #2405C22semidirect
261. #2404C22semidirect
263. #2403C22semidirect
264. #2398C22semidirect
265. #2398C22semidirect
266. #2388C22semidirect
267. #2388C22semidirect
268. C2×#394C22semidirect
269. C2×#393C22semidirect
270. #2379C22semidirect
271. #2379C22semidirect
272. #2375C22semidirect
273. #2311C22semidirect
274. #2311C22semidirect
275. #2311C22semidirect
276. #2311C22semidirect
277. #2311C22semidirect
278. #2311C22semidirect
279. #2311C22semidirect
280. #2311C22semidirect
281. #2309C22semidirect
282. C4×#124C22semidirect
283. C4×#124C22semidirect
284. C4×#120C22semidirect
285. C4×#120C22semidirect
286. #2297C22semidirect
287. #2297C22semidirect
288. #2297C22semidirect
289. #2297C22semidirect
290. C2×#390C22semidirect
291. C2×#390C22semidirect
292. C2×#388C22semidirect
293. #2280C22semidirect
294. C2×#380C22semidirect
295. #2274C22semidirect
296. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C22⋊C4C22semidirect
1670. C22⋊C4H(5,𝔽2)semidirect
1909. C2×C4H(3,𝔽4)semidirect

Maximal subgroups

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

subgroupindex
#531162
#530802
#530462
#530152
#529902
#529672
#524102
#523952
#460542
#460432
#460312
#460162
#459962
#459772
#456452
#456012
#454792
#355922
#355562
#355422
#355132
#355122
#352892
#352642
#352512
#352502
#351802
#351582
#348132
C2×#24912
#347382