Finite Group Databasebeta

← #8094753

Subgroups — #8094753

Order 512.

6347 conjugacy classes of subgroups.

The subgroup lattice has 2041 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53090C212yesmaximal, complemented
2#53088C212yesmaximal, complemented
3#53055C212yesmaximal, complemented
4#53055C212yesmaximal, complemented
5#53004C212yesmaximal, complemented
6#53000C212yesmaximal, complemented
7#52966C212yesmaximal, complemented
8#52957C212yesmaximal, complemented
9#52372C214yesmaximal, complemented
10#52315C214yesmaximal, complemented
11#46050C212yesmaximal, complemented
12#46048C212yesmaximal, complemented
13#46010C212yesmaximal, complemented
14#45992C212yesmaximal, complemented
15#45600C212yesmaximal, complemented
16#45600C212yesmaximal, complemented
17#45599C212yesmaximal, complemented
18#45529C214yesmaximal, complemented
19#45478C212yesmaximal, complemented
20#45444C214yesmaximal, complemented
21#35563C211yesmaximal, characteristic, complemented
22#35541C211yesmaximal, characteristic, complemented
23#35533C211yesmaximal, characteristic, complemented
24#35528C211yesmaximal, characteristic, complemented
25#35517C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35274C211yesmaximal, characteristic, complemented
28#35267C211yesmaximal, characteristic, complemented
29#35250C211yesmaximal, characteristic, complemented
30#35250C211yesmaximal, characteristic, complemented
31#35165C211yesmaximal, characteristic, complemented
32#35152C211yesmaximal, characteristic, complemented
33#34814C211yesmaximal, characteristic, complemented
34#34738C211yesmaximal, characteristic, complemented
35C2×#2428C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#560C2214yescomplemented
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#535C2211yescharacteristic, complemented
43C2×#535C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C22×#127C2211yescharacteristic, complemented
47C2×#525C2211yescharacteristic
48C22×#121C2212yes—
49C22×#121C2211yescharacteristic
50C22×#121C2211yescharacteristic
51C2×#520C2211yescharacteristic, complemented
52C2×#518C2211yescharacteristic, complemented
53C22×C4×D4C2211yescharacteristic, complemented
54#2867C2212yescomplemented
55#2863C2212yescomplemented
56#2860C2212yescomplemented
57#2858C2212yescomplemented
58#2849C2214yescomplemented
59#2847C2212yescomplemented
60#2847C2212yescomplemented
61#2847C2212yescomplemented
62#2847C2212yescomplemented
63#2847C2214yescomplemented
64#2830C2214yescomplemented
65#2828C2214yescomplemented
66#2828C2214yescomplemented
67#2828C2214yescomplemented
68#2826C2214yescomplemented
69#2825C2214yescomplemented
70#2825C2214yescomplemented
71#2825C2214yescomplemented
72#2825C2214yescomplemented
73#2824C2214yescomplemented
74#2824C2214yescomplemented
75#2824C2214yescomplemented
76#2818C2214yescomplemented
77#2818C2214yescomplemented
78#2815C2214yescomplemented
79#2815C2214yescomplemented
80#2815C2214yescomplemented
81#2813C2214yescomplemented
82#2813C2214yescomplemented
83#2812C2214yescomplemented
84#2797C2214yescomplemented
85#2797C2214yescomplemented
86#2784C2214yescomplemented
87#2778C2214yescomplemented
88#2778C2214yescomplemented
89#2760C2214yescomplemented
90#2749C2214yescomplemented
91#2749C2214yescomplemented
92#2737C2214yescomplemented
93#2737C2214yescomplemented
94#2714C2214yescomplemented
95#2714C2214yescomplemented
96#2709C2214yescomplemented
97#2709C2214yescomplemented
98#2709C2214yescomplemented
99#2703C2214yescomplemented
100#2703C2214yescomplemented
101#2699C2214yescomplemented
102#2693C2214yescomplemented
103#2691C2214yescomplemented
104#2691C2214yescomplemented
105#2688C2214yescomplemented
106#2688C2214yescomplemented
107#2688C2214yescomplemented
108#2688C2214yescomplemented
109#2688C2214yescomplemented
110#2688C2214yescomplemented
111#2678C2214yescomplemented
112#2678C2214yescomplemented
113#2675C2214yescomplemented
114#2673C2214yescomplemented
115#2673C2214yescomplemented
116#2673C2214yescomplemented
117#2673C2214yescomplemented
118#2673C2214yescomplemented
119#2673C2214yescomplemented
120#2669C2214yescomplemented
121#2669C2214yescomplemented
122#2669C2214yescomplemented
123#2668C2214yescomplemented
124#2657C2212yescomplemented
125#2657C2212yescomplemented
126#2645C2212yescomplemented
127#2644C2212yescomplemented
128#2622C2214yescomplemented
129#2617C2214yescomplemented
130#2615C2212yescomplemented
131#2615C2212yescomplemented
132#2615C2212yescomplemented
133#2615C2212yescomplemented
134#2548C2212yescomplemented
135#2547C2212yescomplemented
136#2545C2212yescomplemented
137#2544C2212yescomplemented
138#2544C2212yescomplemented
139#2544C2212yescomplemented
140#2544C2212yescomplemented
141#2544C2212yescomplemented
142#2541C2212yescomplemented
143#2541C2212yescomplemented
144#2541C2212yescomplemented
145#2541C2212yescomplemented
146#2541C2212yescomplemented
147#2541C2212yescomplemented
148#2541C2212yescomplemented
149#2541C2212yescomplemented
150#2537C2212yescomplemented
151#2537C2212yescomplemented
152#2537C2212yescomplemented
153#2537C2212yescomplemented
154#2535C2212yescomplemented
155#2535C2212yescomplemented
156#2535C2212yescomplemented
157#2535C2212yescomplemented
158#2534C2214yescomplemented
159#2510C2214yescomplemented
160#2497C2211yescharacteristic, complemented
161#2497C2212yescomplemented
162#2497C2211yescharacteristic, complemented
163#2496C2211yescharacteristic, complemented
164#2496C2212yescomplemented
165#2496C2211yescharacteristic, complemented
166#2495C2211yescharacteristic, complemented
167#2495C2212yescomplemented
168#2495C2211yescharacteristic, complemented
169#2494C2211yescharacteristic, complemented
170#2494C2212yescomplemented
171#2494C2211yescharacteristic, complemented
172#2493C2212yescomplemented
173#2493C2212yescomplemented
174#2487C2212yescomplemented
175#2486C2212yescomplemented
176#2485C2212yescomplemented
177#2485C2212yescomplemented
178#2481C2214yescomplemented
179#2480C2212yes—
180#2480C2212yes—
181#2448C2212yescomplemented
182#2447C2212yescomplemented
183#2447C2212yescomplemented
184#2447C2212yescomplemented
185#2447C2212yescomplemented
186#2447C2212yescomplemented
187#2446C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2445C2212yescomplemented
193#2444C2214yescomplemented
194#2443C2214yescomplemented
195#2436C2211yescharacteristic, complemented
196#2436C2212yescomplemented
197#2436C2212yescomplemented
198#2435C2211yescharacteristic, complemented
199#2434C2211yescharacteristic, complemented
200#2433C2212yescomplemented
201#2433C2212yescomplemented
202#2433C2214yescomplemented
203#2433C2214yescomplemented
204#2433C2211yescharacteristic, complemented
205#2432C2211yescharacteristic, complemented
206#2432C2211yescharacteristic, complemented
207#2431C2212yescomplemented
208#2431C2212yescomplemented
209#2431C2211yescharacteristic, complemented
210#2431C2212yescomplemented
211#2431C2212yescomplemented
212#2431C2211yescharacteristic, complemented
213#2430C2212yes—
214#2430C2212yes—
215#2428C2212yes—
216#2428C2212yes—
217#2428C2212yes—
218#2428C2212yes—
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2428C2212yescomplemented
228#2428C2212yescomplemented
229#2428C2212yescomplemented
230#2428C2212yescomplemented
231#2427C2212yescomplemented
232#2427C2212yescomplemented
233#2426C2212yescomplemented
234#2426C2212yescomplemented
235#2424C2214yescomplemented
236#2424C2214yescomplemented
237#2422C2212yescomplemented
238#2422C2212yescomplemented
239#2422C2212yescomplemented
240#2422C2212yescomplemented
241#2420C2212yescomplemented
242#2420C2212yescomplemented
243#2420C2212yescomplemented
244#2420C2212yescomplemented
245#2416C2212yescomplemented
246#2416C2212yescomplemented
247#2416C2212yescomplemented
248#2416C2212yescomplemented
249#2414C2212yescomplemented
250#2414C2212yescomplemented
251#2414C2212yescomplemented
252#2414C2212yescomplemented
253#2412C2214yescomplemented
254#2412C2214yescomplemented
255#2412C2214yescomplemented
256#2410C2212yes—
257#2410C2214yes—
258#2410C2212yes—
259#2410C2214yescomplemented
260#2410C2214yescomplemented
261#2408C2214yes—
262#2404C2214yes—
263#2404C2214yes—
264#2403C2214yes—
265#2403C2214yes—
266#2401C2212yescomplemented
267#2401C2212yescomplemented
268#2388C2212yescomplemented
269#2388C2212yescomplemented
270C2×#394C2212yescomplemented
271C2×#392C2212yes—
272#2380C2214yescomplemented
273#2377C2214yescomplemented
274#2377C2214yescomplemented
275#2317C2211yescharacteristic, complemented
276#2316C2211yescharacteristic, complemented
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic, complemented
282#2309C2211yescharacteristic, complemented
283C4×#126C2212yescomplemented
284C4×#126C2212yescomplemented
285C4×#120C2212yescomplemented
286C4×#120C2212yescomplemented
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2296C2211yescharacteristic, complemented
290#2296C2211yescharacteristic, complemented
291C2×#390C2211yescharacteristic, complemented
292C2×#389C2211yescharacteristic, complemented
293C2×#386C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×D4C2311yescharacteristic
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C23×D4C2311yescharacteristic
314C23×D4C2312yes—
315C23×D4C2312yes—
316C23×D4C2312yes—
317C23×D4C2312yes—
318C24×C4C2311yescharacteristic
319C24×C4C2312yes—
320C24×C4C2312yes—
321#560—416no—
322#535—44no—
323#535—44no—
324#535—44no—
325#535—44no—
326#535—44no—
327#535—44no—
328#532—44no—
329#532—44no—
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2311yescharacteristic
332C2×#127—44no—
333C2×#127C2314yes—
334C2×#127C2314yes—
335C2×#127C2312yes—
336C2×#127C2311yescharacteristic
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2312yes—
343C2×#127C2312yes—
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2312yes—
347C2×#127C2314yes—
348C2×#127C2314yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2311yescharacteristic
357C2×#124C2311yescharacteristic
358C2×#124C2311yescharacteristic
359C2×#124C2311yescharacteristic
360C2×#124C2312yes—
361C2×#124C2312yes—
362#525—44no—
363C2×#123C2314yes—
364C2×#123C2312yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2311yescharacteristic
371C2×#121—48no—
372C2×#121—44no—
373C2×#121—44no—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2311yescharacteristic
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#120C2312yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2312yes—
425C2×#120C2314yes—
426C2×#120C2312yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429#520—44no—
430#518—44no—
431C2×C4×Q8C2312yes—
432C2×C4×D4—44no—
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×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2311yescharacteristic
452C2×#117C2311yescharacteristic
453C2×#117C2311yescharacteristic
454C2×#117C2312yes—
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C22⋊C4C2311yescharacteristic
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2312yes—
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2314yes—
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2312yes—
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469#401C2314yes—
470#401C2312yes—
471#401C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2312yes—
479#400C2314yes—
480#400C2312yes—
481#400C2312yes—
482#399C2314yes—
483#398C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2312yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2312yes—
504#397C2312yes—
505#397C2312yes—
506#397C2312yes—
507#397C2314yes—
508#396C2312yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2312yes—
514#396C2314yes—
515#395C2312yes—
516#395C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2312yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2312yes—
553#394C2312yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#393C2312yes—
558#393C2314yes—
559#393C2314yes—
560#393C2312yes—
561#393C2314yes—
562#393C2314yes—
563#392C2312yes—
564#392C2312yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
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#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2312yes—
600#392C2312yes—
601#392C2312yes—
602#392C2312yes—
603#392C2314yes—
604#392C2314yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2314yes—
629#390C2311yescharacteristic
630#390C2314yes—
631#390C2314yes—
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2312yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#384C2312yes—
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#383C2312yes—
755#383C2312yes—
756#383C2314yes—
757#382C2312yes—
758#382C2311yescharacteristic
759#382C2311yescharacteristic
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2312yes—
764#381C2312yes—
765#381C2314yes—
766#381C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2314yes—
784#380C2314yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#379C2314yes—
793#379C2312yes—
794#379C2312yes—
795#379C2312yes—
796#379C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825#376C2312yes—
826C2×#95C2312yes—
827C2×#95C2311yescharacteristic
828C2×#95C2311yescharacteristic
829C43C2312yes—
830C25C2411yescharacteristic
831C25C2412yes—
832C25C2412yes—
833C25C2412yes—
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—42no—
850C2×#41—42no—
851C2×#41—42no—
852C2×#41—42no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—464no—
856C22×Q8—42no—
857C22×Q8—42no—
858C22×Q8—42no—
859C22×Q8C2411yescharacteristic
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2412yes—
863C22×D4—24no—
864C22×D4—24no—
865C22×D4—24no—
866C22×D4—24no—
867C22×D4—24no—
868C22×D4—24no—
869C22×D4—42no—
870C22×D4—42no—
871C22×D4—42no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4—44no—
876C22×D4—44no—
877C22×D4—44no—
878C22×D4—44no—
879C22×D4—44no—
880C22×D4—44no—
881C22×D4—44no—
882C22×D4—44no—
883C22×D4—82no—
884C22×D4—82no—
885C22×D4—82no—
886C22×D4—82no—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2412yes—
926C23×C4—24no—
927C23×C4—24no—
928C23×C4—24no—
929C23×C4—44no—
930C23×C4—44no—
931C23×C4—44no—
932C23×C4—44no—
933C23×C4—44no—
934C23×C4—82no—
935C23×C4C2411yescharacteristic
936C23×C4C2412yes—
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2414yes—
950C23×C4C2414yes—
951C23×C4C2414yes—
952C23×C4C2414yes—
953C23×C4C2414yes—
954C23×C4C2412yes—
955C23×C4C2412yes—
956C23×C4C2412yes—
957C23×C4C2411yescharacteristic
958C4⋊Q8—42no—
959C4⋊Q8—42no—
960#127—44no—
961#127—44no—
962#127—44no—
963#127—44no—
964#127—48no—
965#127—42no—
966#127—42no—
967#127—44no—
968#127—44no—
969#127—44no—
970#127—44no—
971#127—44no—
972#127—44no—
973#127—48no—
974#127—84no—
975#127—84no—
976#126—28no—
977#126—44no—
978#126—48no—
979#124—42no—
980#124—42no—
981#124—42no—
982#124—42no—
983#124—44no—
984#124—44no—
985#124—44no—
986#124—44no—
987#124—44no—
988#124—44no—
989#123—48no—
990#123—48no—
991#123—44no—
992#123—48no—
993#123—84no—
994#123—84no—
995C22⋊Q8—42no—
996C22⋊Q8—42no—
997#121—216no—
998#121—48no—
999#121—48no—
1000#121—48no—
1001#121—48no—
1002#121—48no—
1003#121—48no—
1004#121—48no—
1005#121—48no—
1006#121—44no—
1007#121—44no—
1008#121—44no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—44no—
1014#121—42no—
1015#121—42no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#121—44no—
1022#121—44no—
1023#121—44no—
1024#121—44no—
1025#121—44no—
1026#121—44no—
1027#121—44no—
1028#121—48no—
1029#121—44no—
1030#121—44no—
1031#121—44no—
1032#121—44no—
1033#121—84no—
1034#121—84no—
1035#121—84no—
1036#121—84no—
1037#121—84no—
1038#121—84no—
1039#120—28no—
1040#120—44no—
1041#120—44no—
1042#120—48no—
1043#120—48no—
1044#120—48no—
1045#120—48no—
1046#120—48no—
1047#120—48no—
1048#120—48no—
1049#120—48no—
1050#120—84no—
1051#120—84no—
1052C4×Q8—44no—
1053C4×D4—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—
1062C4×D4—44no—
1063C4×D4—44no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—44no—
1067C4×D4—44no—
1068C4×D4—48no—
1069#117—24no—
1070#117—24no—
1071#117—24no—
1072#117—24no—
1073#117—24no—
1074#117—44no—
1075C2×C4⋊C4—24no—
1076C2×C4⋊C4—24no—
1077C2×C4⋊C4—44no—
1078C2×C4⋊C4—44no—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C22⋊C4—24no—
1119C2×C22⋊C4—42no—
1120C2×C22⋊C4—44no—
1121C2×C22⋊C4—48no—
1122C2×C22⋊C4—44no—
1123C2×C22⋊C4—44no—
1124C2×C22⋊C4—44no—
1125C2×C22⋊C4—82no—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C42—24no—
1207C2×C42—24no—
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2414yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2414yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
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#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282C24—22no—
1283C24—24no—
1284C24—22no—
1285C24—22no—
1286C24—22no—
1287C24—24no—
1288C24—24no—
1289C24—24no—
1290C24—24no—
1291C24—24no—
1292C24—24no—
1293C24—41no—
1294C24—42no—
1295C24—42no—
1296C24—42no—
1297C24—42no—
1298C24—42no—
1299C24—42no—
1300C24—41no—
1301C24—41no—
1302C24—42no—
1303C24—42no—
1304C24—42no—
1305C24—42no—
1306C24—42no—
1307C24—42no—
1308C24—42no—
1309C24—42no—
1310C24C2511yescharacteristic
1311C24C2512yes—
1312C24C2512yes—
1313C24C2514yes—
1314C24C2514yes—
1315C24C2512yes—
1316C24C2511yescharacteristic
1317C24C2511yescharacteristic
1318#41—432no—
1319#41—416no—
1320#41—416no—
1321#41—432no—
1322#41—416no—
1323#41—416no—
1324#41—416no—
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—42no—
1335C2×Q8—42no—
1336C2×Q8—42no—
1337C2×Q8—416no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—28no—
1374C2×D4—24no—
1375C2×D4—28no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
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—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—432no—
1456C2×D4—416no—
1457C2×D4—416no—
1458C2×D4—416no—
1459C2×D4—816no—
1460C2×D4—816no—
1461C2×D4—816no—
1462C2×D4—816no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—24no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—22no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—28no—
1497C22×C4—42no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—41no—
1508C22×C4—42no—
1509C22×C4—41no—
1510C22×C4—41no—
1511C22×C4—42no—
1512C22×C4—41no—
1513C22×C4—41no—
1514C22×C4—42no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—44no—
1526C22×C4—44no—
1527C22×C4—44no—
1528C22×C4—44no—
1529C22×C4—432no—
1530C22×C4—416no—
1531C22×C4—816no—
1532C22×C4H(5,𝔽2)14yes—
1533C22×C4H(5,𝔽2)14yes—
1534C22×C4H(5,𝔽2)14yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2512yes—
1542C22×C4C2512yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2514yes—
1549C22×C4C2512yes—
1550C22×C4C2512yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2514yes—
1555C22×C4C2511yescharacteristic
1556C22×C4C2512yes—
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—22no—
1567C4⋊C4—28no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—22no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—42no—
1584C4⋊C4—42no—
1585C4⋊C4—42no—
1586C4⋊C4—42no—
1587C4⋊C4—42no—
1588C4⋊C4—42no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—42no—
1593C4⋊C4—42no—
1594C4⋊C4—42no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—42no—
1598C4⋊C4—42no—
1599C4⋊C4—42no—
1600C4⋊C4—42no—
1601C22⋊C4—22no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—28no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—22no—
1615C22⋊C4—22no—
1616C22⋊C4—24no—
1617C22⋊C4—41no—
1618C22⋊C4—41no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
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—42no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—44no—
1672C22⋊C4—42no—
1673C22⋊C4—42no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—42no—
1677C22⋊C4—42no—
1678C22⋊C4—42no—
1679C22⋊C4—42no—
1680C22⋊C4H(5,𝔽2)14yes—
1681C42—22no—
1682C42—22no—
1683C42—22no—
1684C42—22no—
1685C42—22no—
1686C42—22no—
1687C42—22no—
1688C42—22no—
1689C42—24no—
1690C42—24no—
1691C42—24no—
1692C42—24no—
1693C42—24no—
1694C42—24no—
1695C42—24no—
1696C42—44no—
1697C42—42no—
1698C42—42no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—22no—
1711C23—22no—
1712C23—24no—
1713C23—22no—
1714C23—24no—
1715C23—24no—
1716C23—24no—
1717C23—24no—
1718C23—21no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—24no—
1725C23—24no—
1726C23—24no—
1727C23—21no—
1728C23—21no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—21no—
1734C23—22no—
1735C23—24no—
1736C23—22no—
1737C23—24no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—24no—
1744C23—22no—
1745C23—21no—
1746C23—21no—
1747C23—24no—
1748C23—24no—
1749C23—22no—
1750C23—24no—
1751C23—44no—
1752C23—44no—
1753C23—44no—
1754C23—48no—
1755C23—48no—
1756C23—48no—
1757C23—44no—
1758C23—48no—
1759C23—48no—
1760C23—84no—
1761C23—84no—
1762C23—82no—
1763C23—84no—
1764C23—82no—
1765C23—82no—
1766C23—84no—
1767C23—84no—
1768C23—84no—
1769C23—84no—
1770C23—84no—
1771C23—84no—
1772C23—84no—
1773C23—84no—
1774C23—84no—
1775C23—84no—
1776C23—84no—
1777C23—84no—
1778C23—84no—
1779C23C2×H(5,𝔽2)12yes—
1780C23C2×H(5,𝔽2)12yes—
1781C23C2×H(5,𝔽2)12yes—
1782C23C2×H(5,𝔽2)12yes—
1783C23C2611yescharacteristic
1784Q8—48no—
1785Q8—44no—
1786Q8—44no—
1787Q8—44no—
1788D4—48no—
1789D4—48no—
1790D4—48no—
1791D4—48no—
1792D4—48no—
1793D4—48no—
1794D4—48no—
1795D4—48no—
1796D4—48no—
1797D4—48no—
1798D4—44no—
1799D4—44no—
1800D4—44no—
1801D4—84no—
1802D4—84no—
1803D4—84no—
1804D4—88no—
1805D4—88no—
1806D4—84no—
1807D4—88no—
1808D4—88no—
1809D4—84no—
1810D4—84no—
1811D4—88no—
1812D4—88no—
1813D4—88no—
1814D4—88no—
1815D4—164no—
1816D4—164no—
1817D4—164no—
1818D4—164no—
1819D4—164no—
1820D4—164no—
1821D4—164no—
1822D4—164no—
1823D4—164no—
1824D4—164no—
1825D4—164no—
1826D4—164no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—21no—
1853C2×C4—22no—
1854C2×C4—21no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—24no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—24no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—21no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—24no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—24no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—48no—
1903C2×C4—48no—
1904C2×C4—48no—
1905C2×C4—48no—
1906C2×C4—44no—
1907C2×C4—44no—
1908C2×C4—44no—
1909C2×C4—44no—
1910C2×C4—44no—
1911C2×C4—48no—
1912C2×C4—48no—
1913C2×C4—48no—
1914C2×C4—88no—
1915C2×C4—82no—
1916C2×C4—84no—
1917C2×C4—88no—
1918C2×C4—164no—
1919C2×C4—164no—
1920C2×C4—164no—
1921C2×C4#560116yescomplemented
1922C2×C4C2×H(5,𝔽2)12yes—
1923C2×C4C2×H(5,𝔽2)12yes—
1924C2×C4C2×H(5,𝔽2)12yes—
1925C2×C4C2×H(5,𝔽2)12yes—
1926C2×C4C2×H(5,𝔽2)12yes—
1927C2×C4C2×H(5,𝔽2)12yes—
1928C2×C4C2×H(5,𝔽2)12yes—
1929C2×C4C2×H(5,𝔽2)12yes—
1930C2×C4#58512yes—
1931C22—22no—
1932C22—22no—
1933C22—22no—
1934C22—22no—
1935C22—22no—
1936C22—22no—
1937C22—22no—
1938C22—22no—
1939C22—22no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—44no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—44no—
1949C22—41no—
1950C22—44no—
1951C22—41no—
1952C22—42no—
1953C22—44no—
1954C22—42no—
1955C22—42no—
1956C22—44no—
1957C22—42no—
1958C22—44no—
1959C22—41no—
1960C22—41no—
1961C22—44no—
1962C22—44no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—44no—
1969C22—44no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—41no—
1974C22—42no—
1975C22—42no—
1976C22—41no—
1977C22—42no—
1978C22—44no—
1979C22—44no—
1980C22—42no—
1981C22—42no—
1982C22—42no—
1983C22—44no—
1984C22—44no—
1985C22—41no—
1986C22—88no—
1987C22—816no—
1988C22—816no—
1989C22—168no—
1990C22C2×#56014yes—
1991C22C22×H(5,𝔽2)11yescharacteristic
1992C22C22×H(5,𝔽2)11yescharacteristic
1993C22C22×H(5,𝔽2)11yescharacteristic
1994C22C22×H(5,𝔽2)11yescharacteristic
1995C22C2×#58511yescharacteristic
1996C22H(7,𝔽2)11yescharacteristic
1997C22H(7,𝔽2)11yescharacteristic
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—41no—
2008C4—44no—
2009C4—41no—
2010C4—44no—
2011C4—42no—
2012C4—42no—
2013C4—41no—
2014C4—42no—
2015C4—41no—
2016C4—41no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—41no—
2021C4—41no—
2022C4—42no—
2023C4C2×#56014yes—
2024C4C2×#56014yes—
2025C2—24no—
2026C2—42no—
2027C2—82no—
2028C2—84no—
2029C2—82no—
2030C2—82no—
2031C2—81no—
2032C2—84no—
2033C2C22×#56011yescharacteristic
2034C2#6283411yescharacteristic
2035C2#6288011yescharacteristic
2036C2#6291211yescharacteristic
2037C2#6291211yescharacteristic
2038C2#6292411yescharacteristic
2039C2#6295511yescharacteristic
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. #53090C2semidirect
2. #53088C2semidirect
3. #53055C2semidirect
4. #53055C2semidirect
5. #53004C2semidirect
6. #53000C2semidirect
7. #52966C2semidirect
8. #52957C2semidirect
9. #52372C2semidirect
10. #52315C2semidirect
11. #46050C2semidirect
12. #46048C2semidirect
13. #46010C2semidirect
14. #45992C2semidirect
15. #45600C2semidirect
16. #45600C2semidirect
17. #45599C2semidirect
18. #45529C2semidirect
19. #45478C2semidirect
20. #45444C2semidirect
21. #35563C2semidirect
22. #35541C2semidirect
23. #35533C2semidirect
24. #35528C2semidirect
25. #35517C2semidirect
26. #35514C2semidirect
27. #35274C2semidirect
28. #35267C2semidirect
29. #35250C2semidirect
30. #35250C2semidirect
31. #35165C2semidirect
32. #35152C2semidirect
33. #34814C2semidirect
34. #34738C2semidirect
35. C2×#2428C2semidirect
37. C2×#560C22semidirect
42. C2×#535C22semidirect
43. C2×#535C22semidirect
46. C22×#127C22semidirect
51. C2×#520C22semidirect
52. C2×#518C22semidirect
53. C22×C4×D4C22semidirect
54. #2867C22semidirect
55. #2863C22semidirect
56. #2860C22semidirect
57. #2858C22semidirect
58. #2849C22semidirect
59. #2847C22semidirect
60. #2847C22semidirect
61. #2847C22semidirect
62. #2847C22semidirect
63. #2847C22semidirect
64. #2830C22semidirect
65. #2828C22semidirect
66. #2828C22semidirect
67. #2828C22semidirect
68. #2826C22semidirect
69. #2825C22semidirect
70. #2825C22semidirect
71. #2825C22semidirect
72. #2825C22semidirect
73. #2824C22semidirect
74. #2824C22semidirect
75. #2824C22semidirect
76. #2818C22semidirect
77. #2818C22semidirect
78. #2815C22semidirect
79. #2815C22semidirect
80. #2815C22semidirect
81. #2813C22semidirect
82. #2813C22semidirect
83. #2812C22semidirect
84. #2797C22semidirect
85. #2797C22semidirect
86. #2784C22semidirect
87. #2778C22semidirect
88. #2778C22semidirect
89. #2760C22semidirect
90. #2749C22semidirect
91. #2749C22semidirect
92. #2737C22semidirect
93. #2737C22semidirect
94. #2714C22semidirect
95. #2714C22semidirect
96. #2709C22semidirect
97. #2709C22semidirect
98. #2709C22semidirect
99. #2703C22semidirect
100. #2703C22semidirect
101. #2699C22semidirect
102. #2693C22semidirect
103. #2691C22semidirect
104. #2691C22semidirect
105. #2688C22semidirect
106. #2688C22semidirect
107. #2688C22semidirect
108. #2688C22semidirect
109. #2688C22semidirect
110. #2688C22semidirect
111. #2678C22semidirect
112. #2678C22semidirect
113. #2675C22semidirect
114. #2673C22semidirect
115. #2673C22semidirect
116. #2673C22semidirect
117. #2673C22semidirect
118. #2673C22semidirect
119. #2673C22semidirect
120. #2669C22semidirect
121. #2669C22semidirect
122. #2669C22semidirect
123. #2668C22semidirect
124. #2657C22semidirect
125. #2657C22semidirect
126. #2645C22semidirect
127. #2644C22semidirect
128. #2622C22semidirect
129. #2617C22semidirect
130. #2615C22semidirect
131. #2615C22semidirect
132. #2615C22semidirect
133. #2615C22semidirect
134. #2548C22semidirect
135. #2547C22semidirect
136. #2545C22semidirect
137. #2544C22semidirect
138. #2544C22semidirect
139. #2544C22semidirect
140. #2544C22semidirect
141. #2544C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2537C22semidirect
151. #2537C22semidirect
152. #2537C22semidirect
153. #2537C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2535C22semidirect
157. #2535C22semidirect
158. #2534C22semidirect
159. #2510C22semidirect
160. #2497C22semidirect
161. #2497C22semidirect
162. #2497C22semidirect
163. #2496C22semidirect
164. #2496C22semidirect
165. #2496C22semidirect
166. #2495C22semidirect
167. #2495C22semidirect
168. #2495C22semidirect
169. #2494C22semidirect
170. #2494C22semidirect
171. #2494C22semidirect
172. #2493C22semidirect
173. #2493C22semidirect
174. #2487C22semidirect
175. #2486C22semidirect
176. #2485C22semidirect
177. #2485C22semidirect
178. #2481C22semidirect
181. #2448C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
184. #2447C22semidirect
185. #2447C22semidirect
186. #2447C22semidirect
187. #2446C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2444C22semidirect
194. #2443C22semidirect
195. #2436C22semidirect
196. #2436C22semidirect
197. #2436C22semidirect
198. #2435C22semidirect
199. #2434C22semidirect
200. #2433C22semidirect
201. #2433C22semidirect
202. #2433C22semidirect
203. #2433C22semidirect
204. #2433C22semidirect
205. #2432C22semidirect
206. #2432C22semidirect
207. #2431C22semidirect
208. #2431C22semidirect
209. #2431C22semidirect
210. #2431C22semidirect
211. #2431C22semidirect
212. #2431C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
231. #2427C22semidirect
232. #2427C22semidirect
233. #2426C22semidirect
234. #2426C22semidirect
235. #2424C22semidirect
236. #2424C22semidirect
237. #2422C22semidirect
238. #2422C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
241. #2420C22semidirect
242. #2420C22semidirect
243. #2420C22semidirect
244. #2420C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
247. #2416C22semidirect
248. #2416C22semidirect
249. #2414C22semidirect
250. #2414C22semidirect
251. #2414C22semidirect
252. #2414C22semidirect
253. #2412C22semidirect
254. #2412C22semidirect
255. #2412C22semidirect
259. #2410C22semidirect
260. #2410C22semidirect
266. #2401C22semidirect
267. #2401C22semidirect
268. #2388C22semidirect
269. #2388C22semidirect
270. C2×#394C22semidirect
272. #2380C22semidirect
273. #2377C22semidirect
274. #2377C22semidirect
275. #2317C22semidirect
276. #2316C22semidirect
281. #2311C22semidirect
282. #2309C22semidirect
283. C4×#126C22semidirect
284. C4×#126C22semidirect
285. C4×#120C22semidirect
286. C4×#120C22semidirect
289. #2296C22semidirect
290. #2296C22semidirect
291. C2×#390C22semidirect
292. C2×#389C22semidirect
293. C2×#386C22semidirect
294. #2285C22semidirect
297. C4×#117C22semidirect
1921. C2×C4#560semidirect

Maximal subgroups

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

subgroupindex
#530902
#530882
#530552
#530042
#530002
#529662
#529572
#523722
#523152
#460502
#460482
#460102
#459922
#456002
#455992
#455292
#454782
#454442
#355632
#355412
#355332
#355282
#355172
#355142
#352742
#352672
#352502
#351652
#351522
#348142
#347382
C2×#24282