Finite Group Databasebeta

← #8094757

Subgroups — #8094757

Order 512.

6111 conjugacy classes of subgroups.

The subgroup lattice has 2017 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53066C212yesmaximal, complemented
2#53059C212yesmaximal, complemented
3#53055C212yesmaximal, complemented
4#53044C212yesmaximal, complemented
5#52977C212yesmaximal, complemented
6#52960C212yesmaximal, complemented
7#52957C212yesmaximal, complemented
8#52956C212yesmaximal, complemented
9#52369C214yesmaximal, complemented
10#52313C214yesmaximal, complemented
11#45743C214yesmaximal, complemented
12#45669C212yesmaximal, complemented
13#45646C212yesmaximal, complemented
14#45623C212yesmaximal, complemented
15#45604C212yesmaximal, complemented
16#45600C212yesmaximal, complemented
17#45522C212yesmaximal, complemented
18#45487C212yesmaximal, complemented
19#45478C212yesmaximal, complemented
20#45455C214yesmaximal, complemented
21#35565C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35557C211yesmaximal, characteristic, complemented
24#35545C211yesmaximal, characteristic, complemented
25#35533C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35273C211yesmaximal, characteristic, complemented
28#35256C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic, complemented
30#35250C211yesmaximal, characteristic, complemented
31#35168C211yesmaximal, characteristic, complemented
32#35165C211yesmaximal, characteristic, complemented
33#34742C211yesmaximal, characteristic, complemented
34#34738C211yesmaximal, characteristic, complemented
35C2×#2422C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#560C2214yescomplemented
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#537C2211yescharacteristic, complemented
41C2×#535C2211yescharacteristic
42C2×#535C2211yescharacteristic
43C2×#535C2211yescharacteristic, complemented
44C2×#535C2211yescharacteristic, complemented
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#525C2211yescharacteristic
48C2×#525C2211yescharacteristic
49C22×#123C2212yes—
50C22×#121C2211yescharacteristic
51C2×#520C2211yescharacteristic, complemented
52C2×C4×#41C2211yescharacteristic, complemented
53C22×C4×D4C2211yescharacteristic, complemented
54#2857C2212yescomplemented
55#2856C2212yescomplemented
56#2856C2212yescomplemented
57#2850C2212yescomplemented
58#2848C2212yescomplemented
59#2847C2212yes—
60#2847C2212yes—
61#2847C2212yescomplemented
62#2847C2214yescomplemented
63#2847C2214yescomplemented
64#2838C2214yescomplemented
65#2830C2214yescomplemented
66#2829C2214yescomplemented
67#2829C2214yescomplemented
68#2828C2214yescomplemented
69#2828C2214yescomplemented
70#2828C2214yescomplemented
71#2827C2214yescomplemented
72#2826C2214yescomplemented
73#2826C2214yescomplemented
74#2825C2214yescomplemented
75#2825C2214yescomplemented
76#2824C2214yescomplemented
77#2824C2214yescomplemented
78#2818C2214yescomplemented
79#2815C2214yescomplemented
80#2813C2214yescomplemented
81#2813C2214yescomplemented
82#2813C2214yescomplemented
83#2812C2214yescomplemented
84#2803C2214yescomplemented
85#2797C2214yescomplemented
86#2797C2214yescomplemented
87#2796C2214yescomplemented
88#2784C2214yescomplemented
89#2784C2214yescomplemented
90#2780C2214yescomplemented
91#2780C2214yescomplemented
92#2778C2214yescomplemented
93#2757C2214yescomplemented
94#2749C2214yescomplemented
95#2742C2214yescomplemented
96#2737C2214yescomplemented
97#2714C2214yescomplemented
98#2714C2214yescomplemented
99#2714C2214yescomplemented
100#2709C2214yescomplemented
101#2709C2214yescomplemented
102#2705C2214yescomplemented
103#2705C2214yescomplemented
104#2703C2214yescomplemented
105#2703C2214yescomplemented
106#2697C2214yescomplemented
107#2693C2214yescomplemented
108#2693C2214yescomplemented
109#2691C2214yescomplemented
110#2691C2214yescomplemented
111#2691C2214yescomplemented
112#2688C2214yescomplemented
113#2688C2214yescomplemented
114#2688C2214yescomplemented
115#2685C2214yescomplemented
116#2678C2214yescomplemented
117#2678C2214yescomplemented
118#2678C2214yescomplemented
119#2675C2214yescomplemented
120#2673C2214yescomplemented
121#2673C2214yescomplemented
122#2673C2214yescomplemented
123#2669C2214yescomplemented
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2620C2212yescomplemented
127#2619C2212yescomplemented
128#2617C2214yescomplemented
129#2617C2214yescomplemented
130#2616C2212yescomplemented
131#2615C2212yes—
132#2615C2212yes—
133#2615C2212yescomplemented
134#2548C2212yescomplemented
135#2547C2212yescomplemented
136#2545C2212yescomplemented
137#2544C2212yescomplemented
138#2544C2212yescomplemented
139#2544C2212yescomplemented
140#2543C2214yescomplemented
141#2541C2212yes—
142#2541C2212yes—
143#2541C2212yescomplemented
144#2541C2212yescomplemented
145#2541C2212yescomplemented
146#2541C2212yescomplemented
147#2540C2212yes—
148#2540C2212yes—
149#2540C2212yescomplemented
150#2540C2212yescomplemented
151#2539C2214yescomplemented
152#2538C2212yescomplemented
153#2538C2212yescomplemented
154#2537C2212yescomplemented
155#2537C2212yescomplemented
156#2537C2212yescomplemented
157#2537C2212yescomplemented
158#2535C2212yescomplemented
159#2535C2212yescomplemented
160#2514C2212yescomplemented
161#2513C2212yescomplemented
162#2512C2212yescomplemented
163#2512C2212yescomplemented
164#2512C2212yescomplemented
165#2511C2212yescomplemented
166#2511C2212yescomplemented
167#2511C2212yescomplemented
168#2510C2214yescomplemented
169#2497C2212yescomplemented
170#2497C2212yescomplemented
171#2497C2212yescomplemented
172#2496C2212yescomplemented
173#2496C2212yescomplemented
174#2496C2212yescomplemented
175#2495C2212yescomplemented
176#2494C2212yescomplemented
177#2487C2212yescomplemented
178#2486C2212yescomplemented
179#2485C2212yescomplemented
180#2485C2212yescomplemented
181#2481C2214yescomplemented
182#2481C2214yescomplemented
183#2481C2214yescomplemented
184#2436C2212yes—
185#2436C2211yescharacteristic, complemented
186#2435C2211yescharacteristic, complemented
187#2434C2211yescharacteristic, complemented
188#2433C2214yes—
189#2433C2212yes—
190#2433C2211yescharacteristic, complemented
191#2432C2211yescharacteristic, complemented
192#2432C2211yescharacteristic, complemented
193#2431C2212yes—
194#2431C2212yes—
195#2431C2211yescharacteristic, complemented
196#2431C2211yescharacteristic, complemented
197#2430C2212yes—
198#2430C2214yes—
199#2430C2212yes—
200#2429C2212yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2428C2212yescomplemented
208#2427C2212yescomplemented
209#2427C2212yescomplemented
210#2427C2212yescomplemented
211#2427C2212yescomplemented
212#2427C2212yescomplemented
213#2426C2212yescomplemented
214#2426C2212yescomplemented
215#2426C2212yescomplemented
216#2424C2214yescomplemented
217#2424C2214yescomplemented
218#2424C2214yescomplemented
219#2424C2214yescomplemented
220#2423C2211yescharacteristic, complemented
221#2423C2212yescomplemented
222#2423C2211yescharacteristic, complemented
223#2422C2212yes—
224#2422C2212yes—
225#2422C2212yes—
226#2422C2212yes—
227#2422C2212yescomplemented
228#2422C2212yescomplemented
229#2422C2212yescomplemented
230#2422C2212yescomplemented
231#2422C2211yescharacteristic, complemented
232#2422C2212yescomplemented
233#2422C2211yescharacteristic, complemented
234#2421C2211yescharacteristic, complemented
235#2421C2212yescomplemented
236#2421C2211yescharacteristic, complemented
237#2420C2211yescharacteristic, complemented
238#2420C2212yescomplemented
239#2420C2211yescharacteristic, complemented
240#2419C2212yescomplemented
241#2419C2214yescomplemented
242#2419C2212yescomplemented
243#2418C2212yes—
244#2418C2214yes—
245#2418C2212yes—
246#2417C2212yescomplemented
247#2416C2212yescomplemented
248#2416C2214yescomplemented
249#2416C2214yescomplemented
250#2416C2214yescomplemented
251#2416C2212yescomplemented
252#2416C2212yescomplemented
253#2415C2212yescomplemented
254#2414C2212yescomplemented
255#2414C2212yescomplemented
256#2414C2212yescomplemented
257#2410C2212yes—
258#2410C2214yes—
259#2410C2212yes—
260#2409C2212yescomplemented
261#2408C2212yescomplemented
262#2407C2212yescomplemented
263#2407C2212yescomplemented
264#2404C2214yes—
265#2403C2214yes—
266#2395C2212yescomplemented
267#2395C2212yescomplemented
268C2×#397C2212yescomplemented
269#2388C2212yescomplemented
270#2388C2212yescomplemented
271C2×#394C2212yes—
272#2377C2214yescomplemented
273#2377C2214yescomplemented
274#2376C2214yescomplemented
275#2317C2211yescharacteristic, complemented
276#2316C2211yescharacteristic, complemented
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic, complemented
282C4×#123C2212yescomplemented
283C4×#123C2212yescomplemented
284C4×#120C2212yescomplemented
285C4×#120C2212yescomplemented
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic, complemented
289#2296C2211yescharacteristic, complemented
290C2×#390C2211yescharacteristic, complemented
291C2×#389C2211yescharacteristic, complemented
292C2×#385C2212yescomplemented
293#2285C2211yescharacteristic, complemented
294C2×#384C2211yescharacteristic, complemented
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C23×D4C2311yescharacteristic
314C23×D4C2312yes—
315C24×C4C2311yescharacteristic
316C24×C4C2312yes—
317C24×C4C2312yes—
318#560—416no—
319#537—44no—
320#537—44no—
321#537—44no—
322#535—44no—
323#535—44no—
324#535—44no—
325#535—44no—
326#532—44no—
327#532—44no—
328C2×C4⋊Q8C2311yescharacteristic
329C2×C4⋊Q8C2311yescharacteristic
330C2×#127C2311yescharacteristic
331C2×#127C2312yes—
332C2×#127C2314yes—
333C2×#127C2311yescharacteristic
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2312yes—
337C2×#127C2314yes—
338C2×#126C2314yes—
339C2×#126C2314yes—
340C2×#126C2314yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#124C2311yescharacteristic
344C2×#124C2311yescharacteristic
345C2×#124C2311yescharacteristic
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349#525—44no—
350#525—44no—
351C2×#123—48no—
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2314yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2311yescharacteristic
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2312yes—
371C2×#121—44no—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2311yescharacteristic
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2311yescharacteristic
402C2×#121C2311yescharacteristic
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#120C2312yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2312yes—
420C2×#120C2312yes—
421C2×#120C2312yes—
422C2×#120C2314yes—
423#520—44no—
424C4×#41—44no—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×D4—44no—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
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×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2314yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2312yes—
452C2×#117C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C22⋊C4C2311yescharacteristic
461C22×C22⋊C4C2312yes—
462C22×C22⋊C4C2311yescharacteristic
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2312yes—
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469C22×C42C2312yes—
470#401C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2314yes—
474#400C2314yes—
475#400C2312yes—
476#400C2314yes—
477#400C2312yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#399C2312yes—
482#399C2314yes—
483#399C2314yes—
484#399C2314yes—
485#399C2312yes—
486#398C2314yes—
487#398C2314yes—
488#398C2312yes—
489#398C2312yes—
490#397C2312yes—
491#397C2312yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2312yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2312yes—
510#397C2312yes—
511#397C2314yes—
512#397C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#395C2314yes—
527#395C2312yes—
528#395C2312yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2312yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2312yes—
565#394C2312yes—
566#394C2312yes—
567#394C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2314yes—
571#393C2312yes—
572#393C2314yes—
573#393C2312yes—
574#393C2314yes—
575#393C2314yes—
576#392C2312yes—
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#392C2312yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2312yes—
601#392C2312yes—
602#392C2312yes—
603#392C2312yes—
604#392C2314yes—
605#392C2314yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2312yes—
629#390C2311yescharacteristic
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2314yes—
636#390C2314yes—
637#390C2314yes—
638#390C2314yes—
639#390C2311yescharacteristic
640#390C2312yes—
641#390C2312yes—
642#390C2311yescharacteristic
643#390C2311yescharacteristic
644#390C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2312yes—
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2312yes—
661#389C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#385C2312yes—
754#384C2312yes—
755#384C2312yes—
756#384C2312yes—
757#384C2312yes—
758#384C2312yes—
759#384C2311yescharacteristic
760#384C2311yescharacteristic
761#383C2314yes—
762#382C2312yes—
763#382C2311yescharacteristic
764#382C2311yescharacteristic
765#381C2312yes—
766#381C2314yes—
767#381C2312yes—
768#381C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2312yes—
794#380C2314yes—
795#380C2312yes—
796#380C2312yes—
797#379C2314yes—
798#379C2312yes—
799#379C2312yes—
800#379C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2314yes—
826C2×#95C2312yes—
827C2×#95C2311yescharacteristic
828C2×#95C2312yes—
829C2×#95C2311yescharacteristic
830C25C2411yescharacteristic
831C25C2412yes—
832C25C2412yes—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—24no—
843C2×#41—24no—
844C2×#41—24no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C2×#41—42no—
852C2×#41—42no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—464no—
858C22×Q8—42no—
859C22×Q8—42no—
860C22×Q8—42no—
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
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—82no—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C23×C4—24no—
913C23×C4—24no—
914C23×C4—24no—
915C23×C4—44no—
916C23×C4—44no—
917C23×C4—44no—
918C23×C4—44no—
919C23×C4—44no—
920C23×C4—82no—
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2411yescharacteristic
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2414yes—
940C23×C4C2414yes—
941C23×C4C2414yes—
942C23×C4C2412yes—
943C23×C4C2412yes—
944C23×C4C2412yes—
945C23×C4C2411yescharacteristic
946C4⋊Q8—42no—
947C4⋊Q8—42no—
948#127—42no—
949#127—42no—
950#127—44no—
951#127—44no—
952#127—44no—
953#127—44no—
954#127—48no—
955#127—84no—
956#126—48no—
957#126—48no—
958#126—84no—
959#124—42no—
960#124—42no—
961#124—42no—
962#124—42no—
963#124—44no—
964#124—44no—
965#124—44no—
966#124—44no—
967#123—216no—
968#123—28no—
969#123—48no—
970#123—48no—
971#123—48no—
972#123—48no—
973#123—44no—
974#123—44no—
975#123—44no—
976C22⋊Q8—42no—
977C22⋊Q8—42no—
978C22⋊Q8—42no—
979C22⋊Q8—42no—
980C22⋊Q8—44no—
981C22⋊Q8—44no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985C22⋊Q8—44no—
986#121—48no—
987#121—48no—
988#121—48no—
989#121—48no—
990#121—48no—
991#121—48no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—42no—
997#121—42no—
998#121—42no—
999#121—42no—
1000#121—44no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#121—44no—
1005#121—44no—
1006#121—44no—
1007#121—44no—
1008#121—44no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—44no—
1014#121—48no—
1015#121—48no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—44no—
1020#121—48no—
1021#121—48no—
1022#121—48no—
1023#121—84no—
1024#121—84no—
1025#121—84no—
1026#120—28no—
1027#120—44no—
1028#120—44no—
1029#120—44no—
1030#120—48no—
1031#120—48no—
1032#120—48no—
1033#120—48no—
1034#120—48no—
1035#120—48no—
1036#120—84no—
1037C4×Q8—42no—
1038C4×Q8—42no—
1039C4×Q8—44no—
1040C4×D4—44no—
1041C4×D4—44no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—42no—
1045C4×D4—42no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—44no—
1054C4×D4—44no—
1055C4×D4—44no—
1056C4×D4—44no—
1057C4×D4—48no—
1058#117—24no—
1059#117—24no—
1060#117—24no—
1061#117—24no—
1062#117—44no—
1063#117—44no—
1064C2×C4⋊C4—24no—
1065C2×C4⋊C4—24no—
1066C2×C4⋊C4—24no—
1067C2×C4⋊C4—44no—
1068C2×C4⋊C4—44no—
1069C2×C4⋊C4—44no—
1070C2×C4⋊C4—82no—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C22⋊C4—24no—
1118C2×C22⋊C4—42no—
1119C2×C22⋊C4—44no—
1120C2×C22⋊C4—44no—
1121C2×C22⋊C4—44no—
1122C2×C22⋊C4—44no—
1123C2×C22⋊C4—44no—
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
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⋊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⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C42—24no—
1206C2×C42—24no—
1207C2×C42—44no—
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2414yes—
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2414yes—
1224C2×C42C2414yes—
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
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#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—
1277C24—22no—
1278C24—24no—
1279C24—22no—
1280C24—22no—
1281C24—22no—
1282C24—24no—
1283C24—24no—
1284C24—24no—
1285C24—42no—
1286C24—41no—
1287C24—42no—
1288C24—42no—
1289C24—42no—
1290C24—42no—
1291C24—42no—
1292C24—41no—
1293C24—41no—
1294C24—42no—
1295C24—42no—
1296C24—42no—
1297C24—42no—
1298C24C2511yescharacteristic
1299C24C2512yes—
1300C24C2512yes—
1301C24C2514yes—
1302C24C2512yes—
1303C24C2512yes—
1304C24C2511yescharacteristic
1305C24C2511yescharacteristic
1306#41—432no—
1307#41—416no—
1308#41—416no—
1309#41—432no—
1310#41—416no—
1311#41—416no—
1312#41—416no—
1313#41—416no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—42no—
1327C2×Q8—42no—
1328C2×Q8—42no—
1329C2×Q8—416no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
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—44no—
1415C2×D4—44no—
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—432no—
1433C2×D4—416no—
1434C2×D4—416no—
1435C2×D4—816no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—22no—
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—24no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—28no—
1475C22×C4—24no—
1476C22×C4—41no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—41no—
1487C22×C4—41no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—41no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—42no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—42no—
1504C22×C4—41no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—432no—
1509C22×C4—416no—
1510C22×C4—816no—
1511C22×C4H(5,𝔽2)14yes—
1512C22×C4H(5,𝔽2)14yes—
1513C22×C4H(5,𝔽2)14yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2512yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2514yes—
1530C22×C4C2514yes—
1531C22×C4C2514yes—
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2512yes—
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—28no—
1549C4⋊C4—28no—
1550C4⋊C4—22no—
1551C4⋊C4—22no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
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—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—42no—
1584C4⋊C4—44no—
1585C4⋊C4—42no—
1586C4⋊C4—42no—
1587C22⋊C4—22no—
1588C22⋊C4—28no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—28no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—22no—
1601C22⋊C4—28no—
1602C22⋊C4—22no—
1603C22⋊C4—24no—
1604C22⋊C4—41no—
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—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—44no—
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—42no—
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—42no—
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—44no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C22⋊C4H(5,𝔽2)14yes—
1668C42—22no—
1669C42—22no—
1670C42—22no—
1671C42—22no—
1672C42—22no—
1673C42—22no—
1674C42—22no—
1675C42—22no—
1676C42—24no—
1677C42—24no—
1678C42—24no—
1679C42—24no—
1680C42—42no—
1681C42—42no—
1682C42—44no—
1683C42—44no—
1684C42—44no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—22no—
1697C23—22no—
1698C23—24no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—24no—
1705C23—24no—
1706C23—24no—
1707C23—21no—
1708C23—21no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—21no—
1717C23—22no—
1718C23—22no—
1719C23—21no—
1720C23—24no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—24no—
1730C23—21no—
1731C23—21no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—24no—
1737C23—44no—
1738C23—44no—
1739C23—44no—
1740C23—48no—
1741C23—48no—
1742C23—48no—
1743C23—44no—
1744C23—48no—
1745C23—84no—
1746C23—82no—
1747C23—84no—
1748C23—84no—
1749C23—82no—
1750C23—82no—
1751C23—84no—
1752C23—84no—
1753C23—84no—
1754C23—84no—
1755C23—84no—
1756C23—84no—
1757C23—84no—
1758C23C2×H(5,𝔽2)12yes—
1759C23C2×H(5,𝔽2)12yes—
1760C23C2×H(5,𝔽2)12yes—
1761C23C2×H(5,𝔽2)12yes—
1762C23C2611yescharacteristic
1763Q8—48no—
1764Q8—44no—
1765Q8—44no—
1766Q8—44no—
1767Q8—44no—
1768D4—48no—
1769D4—48no—
1770D4—48no—
1771D4—48no—
1772D4—48no—
1773D4—48no—
1774D4—48no—
1775D4—48no—
1776D4—48no—
1777D4—44no—
1778D4—44no—
1779D4—44no—
1780D4—44no—
1781D4—84no—
1782D4—84no—
1783D4—84no—
1784D4—84no—
1785D4—84no—
1786D4—88no—
1787D4—84no—
1788D4—84no—
1789D4—84no—
1790D4—88no—
1791D4—164no—
1792D4—164no—
1793D4—164no—
1794D4—164no—
1795D4—164no—
1796D4—164no—
1797D4—164no—
1798D4—164no—
1799D4—164no—
1800D4—164no—
1801D4—164no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—24no—
1826C2×C4—24no—
1827C2×C4—21no—
1828C2×C4—24no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—24no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—24no—
1854C2×C4—22no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—24no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—24no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—44no—
1875C2×C4—44no—
1876C2×C4—44no—
1877C2×C4—48no—
1878C2×C4—48no—
1879C2×C4—48no—
1880C2×C4—44no—
1881C2×C4—44no—
1882C2×C4—44no—
1883C2×C4—44no—
1884C2×C4—44no—
1885C2×C4—48no—
1886C2×C4—48no—
1887C2×C4—48no—
1888C2×C4—48no—
1889C2×C4—84no—
1890C2×C4—84no—
1891C2×C4—88no—
1892C2×C4—84no—
1893C2×C4—82no—
1894C2×C4—84no—
1895C2×C4—84no—
1896C2×C4—88no—
1897C2×C4—164no—
1898C2×C4#560116yescomplemented
1899C2×C4C2×H(5,𝔽2)12yes—
1900C2×C4C2×H(5,𝔽2)12yes—
1901C2×C4C2×H(5,𝔽2)12yes—
1902C2×C4C2×H(5,𝔽2)12yes—
1903C2×C4C2×H(5,𝔽2)12yes—
1904C2×C4C2×H(5,𝔽2)12yes—
1905C2×C4C2×H(5,𝔽2)12yes—
1906C2×C4C2×H(5,𝔽2)12yes—
1907C2×C4#58512yes—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—22no—
1913C22—22no—
1914C22—22no—
1915C22—22no—
1916C22—22no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—44no—
1926C22—41no—
1927C22—41no—
1928C22—42no—
1929C22—42no—
1930C22—44no—
1931C22—42no—
1932C22—42no—
1933C22—44no—
1934C22—41no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—42no—
1943C22—44no—
1944C22—41no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—44no—
1949C22—42no—
1950C22—41no—
1951C22—42no—
1952C22—42no—
1953C22—41no—
1954C22—42no—
1955C22—42no—
1956C22—44no—
1957C22—42no—
1958C22—41no—
1959C22—42no—
1960C22—42no—
1961C22—44no—
1962C22—42no—
1963C22—88no—
1964C22—816no—
1965C22—816no—
1966C22C2×#56014yes—
1967C22C22×H(5,𝔽2)11yescharacteristic
1968C22C22×H(5,𝔽2)11yescharacteristic
1969C22C22×H(5,𝔽2)11yescharacteristic
1970C22C22×H(5,𝔽2)11yescharacteristic
1971C22C2×#58511yescharacteristic
1972C22H(7,𝔽2)11yescharacteristic
1973C222−1+611yescharacteristic
1974C4—22no—
1975C4—22no—
1976C4—22no—
1977C4—44no—
1978C4—42no—
1979C4—42no—
1980C4—42no—
1981C4—42no—
1982C4—41no—
1983C4—44no—
1984C4—44no—
1985C4—41no—
1986C4—42no—
1987C4—42no—
1988C4—41no—
1989C4—41no—
1990C4—41no—
1991C4—41no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—41no—
1997C4—42no—
1998C4—42no—
1999C4C2×#56014yes—
2000C4C2×#56014yes—
2001C2—24no—
2002C2—42no—
2003C2—82no—
2004C2—82no—
2005C2—84no—
2006C2—82no—
2007C2—82no—
2008C2—81no—
2009C2C22×#56011yescharacteristic
2010C2#6283411yescharacteristic
2011C2#6287811yescharacteristic
2012C2#6291211yescharacteristic
2013C2#6291411yescharacteristic
2014C2#6292511yescharacteristic
2015C2#6295711yescharacteristic
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. #53066C2semidirect
2. #53059C2semidirect
3. #53055C2semidirect
4. #53044C2semidirect
5. #52977C2semidirect
6. #52960C2semidirect
7. #52957C2semidirect
8. #52956C2semidirect
9. #52369C2semidirect
10. #52313C2semidirect
11. #45743C2semidirect
12. #45669C2semidirect
13. #45646C2semidirect
14. #45623C2semidirect
15. #45604C2semidirect
16. #45600C2semidirect
17. #45522C2semidirect
18. #45487C2semidirect
19. #45478C2semidirect
20. #45455C2semidirect
21. #35565C2semidirect
22. #35564C2semidirect
23. #35557C2semidirect
24. #35545C2semidirect
25. #35533C2semidirect
26. #35516C2semidirect
27. #35273C2semidirect
28. #35256C2semidirect
29. #35251C2semidirect
30. #35250C2semidirect
31. #35168C2semidirect
32. #35165C2semidirect
33. #34742C2semidirect
34. #34738C2semidirect
35. C2×#2422C2semidirect
37. C2×#560C22semidirect
40. C2×#537C22semidirect
43. C2×#535C22semidirect
44. C2×#535C22semidirect
51. C2×#520C22semidirect
52. C2×C4×#41C22semidirect
53. C22×C4×D4C22semidirect
54. #2857C22semidirect
55. #2856C22semidirect
56. #2856C22semidirect
57. #2850C22semidirect
58. #2848C22semidirect
61. #2847C22semidirect
62. #2847C22semidirect
63. #2847C22semidirect
64. #2838C22semidirect
65. #2830C22semidirect
66. #2829C22semidirect
67. #2829C22semidirect
68. #2828C22semidirect
69. #2828C22semidirect
70. #2828C22semidirect
71. #2827C22semidirect
72. #2826C22semidirect
73. #2826C22semidirect
74. #2825C22semidirect
75. #2825C22semidirect
76. #2824C22semidirect
77. #2824C22semidirect
78. #2818C22semidirect
79. #2815C22semidirect
80. #2813C22semidirect
81. #2813C22semidirect
82. #2813C22semidirect
83. #2812C22semidirect
84. #2803C22semidirect
85. #2797C22semidirect
86. #2797C22semidirect
87. #2796C22semidirect
88. #2784C22semidirect
89. #2784C22semidirect
90. #2780C22semidirect
91. #2780C22semidirect
92. #2778C22semidirect
93. #2757C22semidirect
94. #2749C22semidirect
95. #2742C22semidirect
96. #2737C22semidirect
97. #2714C22semidirect
98. #2714C22semidirect
99. #2714C22semidirect
100. #2709C22semidirect
101. #2709C22semidirect
102. #2705C22semidirect
103. #2705C22semidirect
104. #2703C22semidirect
105. #2703C22semidirect
106. #2697C22semidirect
107. #2693C22semidirect
108. #2693C22semidirect
109. #2691C22semidirect
110. #2691C22semidirect
111. #2691C22semidirect
112. #2688C22semidirect
113. #2688C22semidirect
114. #2688C22semidirect
115. #2685C22semidirect
116. #2678C22semidirect
117. #2678C22semidirect
118. #2678C22semidirect
119. #2675C22semidirect
120. #2673C22semidirect
121. #2673C22semidirect
122. #2673C22semidirect
123. #2669C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2620C22semidirect
127. #2619C22semidirect
128. #2617C22semidirect
129. #2617C22semidirect
130. #2616C22semidirect
133. #2615C22semidirect
134. #2548C22semidirect
135. #2547C22semidirect
136. #2545C22semidirect
137. #2544C22semidirect
138. #2544C22semidirect
139. #2544C22semidirect
140. #2543C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
149. #2540C22semidirect
150. #2540C22semidirect
151. #2539C22semidirect
152. #2538C22semidirect
153. #2538C22semidirect
154. #2537C22semidirect
155. #2537C22semidirect
156. #2537C22semidirect
157. #2537C22semidirect
158. #2535C22semidirect
159. #2535C22semidirect
160. #2514C22semidirect
161. #2513C22semidirect
162. #2512C22semidirect
163. #2512C22semidirect
164. #2512C22semidirect
165. #2511C22semidirect
166. #2511C22semidirect
167. #2511C22semidirect
168. #2510C22semidirect
169. #2497C22semidirect
170. #2497C22semidirect
171. #2497C22semidirect
172. #2496C22semidirect
173. #2496C22semidirect
174. #2496C22semidirect
175. #2495C22semidirect
176. #2494C22semidirect
177. #2487C22semidirect
178. #2486C22semidirect
179. #2485C22semidirect
180. #2485C22semidirect
181. #2481C22semidirect
182. #2481C22semidirect
183. #2481C22semidirect
185. #2436C22semidirect
186. #2435C22semidirect
187. #2434C22semidirect
190. #2433C22semidirect
191. #2432C22semidirect
192. #2432C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
200. #2429C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2427C22semidirect
209. #2427C22semidirect
210. #2427C22semidirect
211. #2427C22semidirect
212. #2427C22semidirect
213. #2426C22semidirect
214. #2426C22semidirect
215. #2426C22semidirect
216. #2424C22semidirect
217. #2424C22semidirect
218. #2424C22semidirect
219. #2424C22semidirect
220. #2423C22semidirect
221. #2423C22semidirect
222. #2423C22semidirect
227. #2422C22semidirect
228. #2422C22semidirect
229. #2422C22semidirect
230. #2422C22semidirect
231. #2422C22semidirect
232. #2422C22semidirect
233. #2422C22semidirect
234. #2421C22semidirect
235. #2421C22semidirect
236. #2421C22semidirect
237. #2420C22semidirect
238. #2420C22semidirect
239. #2420C22semidirect
240. #2419C22semidirect
241. #2419C22semidirect
242. #2419C22semidirect
246. #2417C22semidirect
247. #2416C22semidirect
248. #2416C22semidirect
249. #2416C22semidirect
250. #2416C22semidirect
251. #2416C22semidirect
252. #2416C22semidirect
253. #2415C22semidirect
254. #2414C22semidirect
255. #2414C22semidirect
256. #2414C22semidirect
260. #2409C22semidirect
261. #2408C22semidirect
262. #2407C22semidirect
263. #2407C22semidirect
266. #2395C22semidirect
267. #2395C22semidirect
268. C2×#397C22semidirect
269. #2388C22semidirect
270. #2388C22semidirect
272. #2377C22semidirect
273. #2377C22semidirect
274. #2376C22semidirect
275. #2317C22semidirect
276. #2316C22semidirect
281. #2311C22semidirect
282. C4×#123C22semidirect
283. C4×#123C22semidirect
284. C4×#120C22semidirect
285. C4×#120C22semidirect
288. #2297C22semidirect
289. #2296C22semidirect
290. C2×#390C22semidirect
291. C2×#389C22semidirect
292. C2×#385C22semidirect
293. #2285C22semidirect
294. C2×#384C22semidirect
297. #2274C22semidirect
1898. C2×C4#560semidirect

Maximal subgroups

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

subgroupindex
#530662
#530592
#530552
#530442
#529772
#529602
#529572
#529562
#523692
#523132
#457432
#456692
#456462
#456232
#456042
#456002
#455222
#454872
#454782
#454552
#355652
#355642
#355572
#355452
#355332
#355162
#352732
#352562
#352512
#352502
#351682
#351652
#347422
#347382
C2×#24222