Finite Group Databasebeta

← #8094751

Subgroups — #8094751

Order 512.

6197 conjugacy classes of subgroups.

The subgroup lattice has 2065 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53128C212yesmaximal, complemented
2#53096C212yesmaximal, complemented
3#53014C212yesmaximal, complemented
4#52971C212yesmaximal, complemented
5#52966C212yesmaximal, complemented
6#52962C212yesmaximal, complemented
7#52957C212yesmaximal, complemented
8#52956C212yesmaximal, complemented
9#52375C214yesmaximal, complemented
10#52320C214yesmaximal, complemented
11#45687C212yesmaximal, complemented
12#45623C212yesmaximal, complemented
13#45608C212yesmaximal, complemented
14#45599C212yesmaximal, complemented
15#45598C212yesmaximal, complemented
16#45593C212yesmaximal, complemented
17#45529C214yesmaximal, complemented
18#45483C212yesmaximal, complemented
19#45478C212yesmaximal, complemented
20#45444C214yesmaximal, complemented
21#35565C211yesmaximal, characteristic, complemented
22#35545C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic, complemented
25#35514C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35256C211yesmaximal, characteristic, complemented
28#35255C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic, complemented
30#35250C211yesmaximal, characteristic, complemented
31#35227C211yesmaximal, characteristic, complemented
32#35223C211yesmaximal, characteristic, complemented
33#34935C211yesmaximal, characteristic, complemented
34#34736C211yesmaximal, characteristic, complemented
35C2×#2416C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#560C2214yescomplemented
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#535C2211yescharacteristic, complemented
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#525C2211yescharacteristic
46C2×#525C2211yescharacteristic, complemented
47C22×#121C2212yes—
48C22×#121C2211yescharacteristic
49C22×#121C2211yescharacteristic, complemented
50C2×#518C2211yescharacteristic, complemented
51C2×C4×#41C2211yescharacteristic, complemented
52C22×C4×D4C2211yescharacteristic
53C23×C4⋊C4C2211yescharacteristic, complemented
54#2856C2212yescomplemented
55#2855C2212yescomplemented
56#2854C2212yescomplemented
57#2850C2212yescomplemented
58#2849C2214yescomplemented
59#2848C2212yescomplemented
60#2847C2212yescomplemented
61#2847C2212yescomplemented
62#2847C2212yescomplemented
63#2847C2214yescomplemented
64#2841C2214yescomplemented
65#2838C2214yescomplemented
66#2830C2214yescomplemented
67#2829C2214yescomplemented
68#2829C2214yescomplemented
69#2829C2214yescomplemented
70#2828C2214yescomplemented
71#2827C2214yescomplemented
72#2827C2214yescomplemented
73#2826C2214yescomplemented
74#2826C2214yescomplemented
75#2825C2214yescomplemented
76#2825C2214yescomplemented
77#2825C2214yescomplemented
78#2824C2214yescomplemented
79#2815C2214yescomplemented
80#2813C2214yescomplemented
81#2813C2214yescomplemented
82#2813C2214yescomplemented
83#2812C2214yescomplemented
84#2784C2214yescomplemented
85#2784C2214yescomplemented
86#2780C2214yescomplemented
87#2778C2214yescomplemented
88#2760C2214yescomplemented
89#2757C2214yescomplemented
90#2756C2214yescomplemented
91#2749C2214yescomplemented
92#2749C2214yescomplemented
93#2749C2214yescomplemented
94#2748C2214yescomplemented
95#2746C2214yescomplemented
96#2737C2214yescomplemented
97#2714C2214yescomplemented
98#2709C2214yescomplemented
99#2705C2214yescomplemented
100#2703C2214yescomplemented
101#2703C2214yescomplemented
102#2699C2214yescomplemented
103#2699C2214yescomplemented
104#2697C2214yescomplemented
105#2693C2214yescomplemented
106#2693C2214yescomplemented
107#2691C2214yescomplemented
108#2691C2214yescomplemented
109#2691C2214yescomplemented
110#2688C2214yescomplemented
111#2688C2214yescomplemented
112#2688C2214yescomplemented
113#2688C2214yescomplemented
114#2685C2214yescomplemented
115#2678C2214yescomplemented
116#2675C2214yescomplemented
117#2673C2214yescomplemented
118#2673C2214yescomplemented
119#2673C2214yescomplemented
120#2673C2214yescomplemented
121#2669C2214yescomplemented
122#2668C2214yescomplemented
123#2668C2214yescomplemented
124#2625C2212yescomplemented
125#2624C2212yescomplemented
126#2623C2214yescomplemented
127#2620C2212yescomplemented
128#2619C2212yescomplemented
129#2618C2214yescomplemented
130#2616C2212yescomplemented
131#2615C2212yescomplemented
132#2615C2212yescomplemented
133#2615C2212yescomplemented
134#2541C2212yescomplemented
135#2541C2212yescomplemented
136#2541C2212yescomplemented
137#2541C2212yescomplemented
138#2540C2212yescomplemented
139#2540C2212yescomplemented
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2539C2214yescomplemented
143#2538C2211yescharacteristic, complemented
144#2538C2211yescharacteristic, complemented
145#2537C2212yescomplemented
146#2537C2212yescomplemented
147#2537C2212yescomplemented
148#2537C2211yescharacteristic, complemented
149#2537C2211yescharacteristic, complemented
150#2537C2212yescomplemented
151#2536C2211yescharacteristic, complemented
152#2536C2211yescharacteristic, complemented
153#2535C2212yescomplemented
154#2535C2211yescharacteristic, complemented
155#2535C2212yescomplemented
156#2535C2212yescomplemented
157#2535C2211yescharacteristic, complemented
158#2535C2212yescomplemented
159#2534C2212yes—
160#2534C2212yescomplemented
161#2514C2212yescomplemented
162#2513C2212yescomplemented
163#2512C2212yescomplemented
164#2511C2212yescomplemented
165#2510C2214yescomplemented
166#2504C2212yescomplemented
167#2503C2212yescomplemented
168#2502C2212yescomplemented
169#2501C2212yescomplemented
170#2497C2212yescomplemented
171#2497C2212yescomplemented
172#2497C2212yescomplemented
173#2496C2212yescomplemented
174#2496C2212yescomplemented
175#2496C2212yescomplemented
176#2495C2212yescomplemented
177#2495C2212yescomplemented
178#2495C2212yescomplemented
179#2494C2212yescomplemented
180#2494C2212yescomplemented
181#2494C2212yescomplemented
182#2493C2214yescomplemented
183#2487C2212yescomplemented
184#2487C2212yescomplemented
185#2486C2212yescomplemented
186#2486C2212yescomplemented
187#2486C2212yescomplemented
188#2481C2214yescomplemented
189#2480C2214yes—
190#2447C2212yescomplemented
191#2447C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2444C2214yescomplemented
195#2443C2214yescomplemented
196#2436C2212yescomplemented
197#2433C2214yescomplemented
198#2433C2212yescomplemented
199#2431C2212yescomplemented
200#2431C2212yescomplemented
201#2430C2214yes—
202#2428C2212yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2428C2212yescomplemented
208#2427C2212yescomplemented
209#2427C2212yescomplemented
210#2427C2212yescomplemented
211#2427C2212yescomplemented
212#2426C2212yescomplemented
213#2426C2212yescomplemented
214#2424C2214yescomplemented
215#2424C2214yescomplemented
216#2423C2212yescomplemented
217#2422C2212yescomplemented
218#2422C2212yescomplemented
219#2422C2212yescomplemented
220#2421C2212yescomplemented
221#2420C2212yescomplemented
222#2420C2212yescomplemented
223#2420C2212yescomplemented
224#2417C2212yescomplemented
225#2417C2212yescomplemented
226#2417C2212yescomplemented
227#2417C2212yescomplemented
228#2416C2212yes—
229#2416C2212yes—
230#2416C2212yes—
231#2416C2212yes—
232#2416C2212yescomplemented
233#2416C2212yescomplemented
234#2416C2212yescomplemented
235#2416C2212yescomplemented
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2412C2214yescomplemented
241#2412C2214yescomplemented
242#2412C2214yescomplemented
243#2412C2214yescomplemented
244#2410C2214yes—
245#2410C2214yes—
246#2410C2214yescomplemented
247#2409C2211yescharacteristic, complemented
248#2409C2212yescomplemented
249#2409C2211yescharacteristic, complemented
250#2408C2212yes—
251#2408C2211yescharacteristic, complemented
252#2408C2212yescomplemented
253#2408C2211yescharacteristic, complemented
254#2407C2211yescharacteristic, complemented
255#2407C2212yescomplemented
256#2407C2211yescharacteristic, complemented
257#2407C2212yescomplemented
258#2407C2211yescharacteristic, complemented
259#2407C2211yescharacteristic, complemented
260#2406C2212yes—
261#2405C2212yes—
262#2404C2214yes—
263#2404C2212yes—
264#2403C2214yes—
265#2403C2212yes—
266#2392C2212yescomplemented
267#2392C2212yescomplemented
268C2×#396C2212yescomplemented
269#2388C2212yescomplemented
270#2388C2212yescomplemented
271C2×#394C2212yes—
272#2380C2214yescomplemented
273#2377C2214yescomplemented
274#2377C2214yescomplemented
275#2317C2211yescharacteristic, complemented
276#2317C2211yescharacteristic, complemented
277#2317C2211yescharacteristic, complemented
278#2316C2211yescharacteristic, complemented
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic
283#2311C2211yescharacteristic, complemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#120C2212yescomplemented
287C4×#120C2212yescomplemented
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290C2×#390C2211yescharacteristic, complemented
291C2×#389C2211yescharacteristic, complemented
292C2×#386C2212yescomplemented
293#2285C2211yescharacteristic, complemented
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic, complemented
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic, complemented
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—
316C24×C4C2311yescharacteristic
317C24×C4C2311yescharacteristic
318C24×C4C2312yes—
319C24×C4C2312yes—
320#560—416no—
321#537—44no—
322#537—44no—
323#535—44no—
324#535—44no—
325#535—44no—
326C2×#127C2312yes—
327C2×#127C2314yes—
328C2×#127C2314yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#126C2314yes—
332C2×#126C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336#525—44no—
337#525—44no—
338#525—44no—
339#525—44no—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2311yescharacteristic
361C2×#121—44no—
362C2×#121—44no—
363C2×#121—48no—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2314yes—
384C2×#121C2311yescharacteristic
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2311yescharacteristic
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2311yescharacteristic
402C2×#121C2311yescharacteristic
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#120C2312yes—
407C2×#120C2312yes—
408C2×#120C2312yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2312yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418#518—44no—
419C4×#41—44no—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2311yescharacteristic
422C2×C4×D4—44no—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2311yescharacteristic
452C2×#117C2312yes—
453C22×C4⋊C4—44no—
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C22⋊C4C2311yescharacteristic
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2312yes—
467C22×C22⋊C4C2312yes—
468C22×C22⋊C4C2312yes—
469C22×C22⋊C4C2311yescharacteristic
470C22×C22⋊C4C2314yes—
471C22×C22⋊C4C2312yes—
472C22×C42C2311yescharacteristic
473C22×C42C2312yes—
474#401C2314yes—
475#401C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#399C2314yes—
486#399C2314yes—
487#399C2314yes—
488#399C2314yes—
489#399C2314yes—
490#398C2312yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2312yes—
495#398C2314yes—
496#398C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2312yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2312yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#396C2312yes—
519#396C2314yes—
520#396C2314yes—
521#396C2312yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2312yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2312yes—
533#396C2314yes—
534#395C2312yes—
535#395C2312yes—
536#395C2314yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2312yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2312yes—
563#394C2312yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2314yes—
575#394C2314yes—
576#393C2312yes—
577#393C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2312yes—
581#392C2314yes—
582#392C2314yes—
583#392C2312yes—
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#392C2312yes—
604#392C2312yes—
605#392C2312yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2311yescharacteristic
618#391C2311yescharacteristic
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2314yes—
629#390C2312yes—
630#390C2311yescharacteristic
631#390C2311yescharacteristic
632#390C2314yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2311yescharacteristic
636#390C2312yes—
637#390C2314yes—
638#390C2314yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
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#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#385C2314yes—
732#385C2312yes—
733#385C2314yes—
734#385C2312yes—
735#385C2312yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#383C2314yes—
754#383C2314yes—
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#382C2311yescharacteristic
759#382C2311yescharacteristic
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2312yes—
765#381C2314yes—
766#381C2312yes—
767#381C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2312yes—
789#380C2314yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2311yescharacteristic
797#380C2312yes—
798#380C2314yes—
799#380C2312yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2311yescharacteristic
804#380C2311yescharacteristic
805#379C2314yes—
806#379C2312yes—
807#379C2312yes—
808#379C2312yes—
809#379C2312yes—
810#379C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C2×#95C2312yes—
829C2×#95C2312yes—
830C25C2411yescharacteristic
831C25C2411yescharacteristic
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—42no—
868C22×D4—42no—
869C22×D4—42no—
870C22×D4—42no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4—42no—
874C22×D4—44no—
875C22×D4—44no—
876C22×D4—44no—
877C22×D4—44no—
878C22×D4—44no—
879C22×D4—44no—
880C22×D4—82no—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2411yescharacteristic
916C23×C4—24no—
917C23×C4—24no—
918C23×C4—24no—
919C23×C4—24no—
920C23×C4—24no—
921C23×C4—24no—
922C23×C4—44no—
923C23×C4—44no—
924C23×C4—44no—
925C23×C4—44no—
926C23×C4—44no—
927C23×C4—82no—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2412yes—
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2412yes—
944C23×C4C2412yes—
945C23×C4C2412yes—
946C23×C4C2414yes—
947C23×C4C2412yes—
948C23×C4C2414yes—
949C23×C4C2414yes—
950C23×C4C2414yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2412yes—
954C23×C4C2412yes—
955C23×C4C2411yescharacteristic
956#127—44no—
957#127—44no—
958#127—44no—
959#127—48no—
960#127—48no—
961#126—48no—
962#126—48no—
963#124—44no—
964#124—44no—
965#124—44no—
966#123—48no—
967#123—48no—
968#123—44no—
969#123—44no—
970#123—44no—
971#123—44no—
972#123—48no—
973#123—84no—
974#123—84no—
975C22⋊Q8—42no—
976C22⋊Q8—42no—
977C22⋊Q8—42no—
978C22⋊Q8—42no—
979C22⋊Q8—42no—
980C22⋊Q8—42no—
981C22⋊Q8—42no—
982C22⋊Q8—42no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985C22⋊Q8—44no—
986C22⋊Q8—44no—
987#121—216no—
988#121—28no—
989#121—48no—
990#121—48no—
991#121—48no—
992#121—44no—
993#121—48no—
994#121—48no—
995#121—48no—
996#121—44no—
997#121—44no—
998#121—44no—
999#121—44no—
1000#121—44no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#121—42no—
1005#121—42no—
1006#121—42no—
1007#121—42no—
1008#121—42no—
1009#121—42no—
1010#121—42no—
1011#121—42no—
1012#121—44no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#121—44no—
1022#121—48no—
1023#121—48no—
1024#121—48no—
1025#121—48no—
1026#121—84no—
1027#121—84no—
1028#121—84no—
1029#120—28no—
1030#120—44no—
1031#120—44no—
1032#120—44no—
1033#120—44no—
1034#120—48no—
1035#120—48no—
1036#120—48no—
1037#120—48no—
1038#120—48no—
1039#120—44no—
1040#120—84no—
1041C4×Q8—42no—
1042C4×Q8—42no—
1043C4×D4—42no—
1044C4×D4—42no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—42no—
1050C4×D4—42no—
1051C4×D4—42no—
1052C4×D4—42no—
1053C4×D4—42no—
1054C4×D4—42no—
1055C4×D4—42no—
1056C4×D4—42no—
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—
1067#117—24no—
1068#117—24no—
1069#117—24no—
1070#117—24no—
1071#117—24no—
1072#117—44no—
1073C2×C4⋊C4—24no—
1074C2×C4⋊C4—24no—
1075C2×C4⋊C4—24no—
1076C2×C4⋊C4—44no—
1077C2×C4⋊C4—44no—
1078C2×C4⋊C4—44no—
1079C2×C4⋊C4—44no—
1080C2×C4⋊C4—44no—
1081C2×C4⋊C4—44no—
1082C2×C4⋊C4—42no—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C22⋊C4—44no—
1132C2×C22⋊C4—48no—
1133C2×C22⋊C4—44no—
1134C2×C22⋊C4—42no—
1135C2×C22⋊C4—42no—
1136C2×C22⋊C4—44no—
1137C2×C22⋊C4—44no—
1138C2×C22⋊C4—82no—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C42—24no—
1223C2×C42—44no—
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
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#95C2414yes—
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—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285C24—22no—
1286C24—22no—
1287C24—22no—
1288C24—22no—
1289C24—22no—
1290C24—22no—
1291C24—22no—
1292C24—22no—
1293C24—22no—
1294C24—24no—
1295C24—24no—
1296C24—24no—
1297C24—24no—
1298C24—41no—
1299C24—41no—
1300C24—42no—
1301C24—42no—
1302C24—42no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—42no—
1307C24—42no—
1308C24—42no—
1309C24—42no—
1310C24—42no—
1311C24—42no—
1312C24—42no—
1313C24C2512yes—
1314C24C2512yes—
1315C24C2514yes—
1316C24C2511yescharacteristic
1317C24C2512yes—
1318C24C2511yescharacteristic
1319C24C2511yescharacteristic
1320C24C2511yescharacteristic
1321C24C2511yescharacteristic
1322#41—432no—
1323#41—416no—
1324#41—416no—
1325#41—432no—
1326#41—416no—
1327#41—416no—
1328#41—416no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—22no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—42no—
1339C2×Q8—42no—
1340C2×Q8—42no—
1341C2×Q8—416no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—28no—
1359C2×D4—24no—
1360C2×D4—28no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—24no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—22no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—42no—
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—416no—
1447C2×D4—432no—
1448C2×D4—416no—
1449C2×D4—416no—
1450C2×D4—816no—
1451C2×D4—816no—
1452C2×D4H(5,𝔽2)14yes—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—28no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—22no—
1490C22×C4—22no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—41no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—41no—
1517C22×C4—42no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—41no—
1526C22×C4—42no—
1527C22×C4—42no—
1528C22×C4—44no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—432no—
1535C22×C4—416no—
1536C22×C4—416no—
1537C22×C4—816no—
1538C22×C4H(5,𝔽2)14yes—
1539C22×C4H(5,𝔽2)14yes—
1540C22×C4H(5,𝔽2)14yes—
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2512yes—
1549C22×C4C2512yes—
1550C22×C4C2514yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2512yes—
1555C22×C4C2514yes—
1556C22×C4C2511yescharacteristic
1557C22×C4C2511yescharacteristic
1558C22×C4C2512yes—
1559C22×C4C2514yes—
1560C22×C4C2512yes—
1561C22×C4C2512yes—
1562C22×C4C2511yescharacteristic
1563C22×C4C2511yescharacteristic
1564C22×C4C2511yescharacteristic
1565C22×C4C2511yescharacteristic
1566C22×C4C2511yescharacteristic
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—28no—
1574C4⋊C4—22no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—22no—
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—22no—
1583C4⋊C4—22no—
1584C4⋊C4—24no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—41no—
1588C4⋊C4—41no—
1589C4⋊C4—41no—
1590C4⋊C4—41no—
1591C4⋊C4—44no—
1592C4⋊C4—42no—
1593C4⋊C4—42no—
1594C4⋊C4—42no—
1595C4⋊C4—42no—
1596C4⋊C4—42no—
1597C4⋊C4—42no—
1598C4⋊C4—42no—
1599C4⋊C4—42no—
1600C4⋊C4—42no—
1601C4⋊C4—42no—
1602C4⋊C4—42no—
1603C4⋊C4—42no—
1604C4⋊C4—44no—
1605C4⋊C4—44no—
1606C4⋊C4—44no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4—42no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—41no—
1629C22⋊C4—41no—
1630C22⋊C4—41no—
1631C22⋊C4—41no—
1632C22⋊C4—41no—
1633C22⋊C4—41no—
1634C22⋊C4—41no—
1635C22⋊C4—41no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—42no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—42no—
1664C22⋊C4—42no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—42no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—42no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—42no—
1693C22⋊C4—44no—
1694C22⋊C4—42no—
1695C22⋊C4—42no—
1696C22⋊C4—42no—
1697C22⋊C4—44no—
1698C42—22no—
1699C42—22no—
1700C42—22no—
1701C42—22no—
1702C42—24no—
1703C42—24no—
1704C42—24no—
1705C42—24no—
1706C42—24no—
1707C42—42no—
1708C42—42no—
1709C42—44no—
1710C42—44no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—28no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—21no—
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—21no—
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—22no—
1736C23—24no—
1737C23—22no—
1738C23—22no—
1739C23—24no—
1740C23—21no—
1741C23—24no—
1742C23—24no—
1743C23—21no—
1744C23—21no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—21no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—21no—
1756C23—22no—
1757C23—22no—
1758C23—24no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—24no—
1763C23—21no—
1764C23—21no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—24no—
1769C23—44no—
1770C23—44no—
1771C23—44no—
1772C23—44no—
1773C23—44no—
1774C23—44no—
1775C23—44no—
1776C23—44no—
1777C23—44no—
1778C23—48no—
1779C23—44no—
1780C23—48no—
1781C23—82no—
1782C23—82no—
1783C23—82no—
1784C23—84no—
1785C23—84no—
1786C23—84no—
1787C23—84no—
1788C23—84no—
1789C23—84no—
1790C23—84no—
1791C23—84no—
1792C23—84no—
1793C23—84no—
1794C23—84no—
1795C23—84no—
1796C23C2×H(5,𝔽2)12yes—
1797C23C2×H(5,𝔽2)12yes—
1798C23C2×H(5,𝔽2)12yes—
1799C23C2×H(5,𝔽2)12yes—
1800C23C2×H(5,𝔽2)12yes—
1801C23#58512yes—
1802C23C2611yescharacteristic
1803Q8—48no—
1804Q8—44no—
1805Q8—44no—
1806Q8—44no—
1807D4—44no—
1808D4—44no—
1809D4—44no—
1810D4—44no—
1811D4—48no—
1812D4—48no—
1813D4—48no—
1814D4—48no—
1815D4—48no—
1816D4—48no—
1817D4—48no—
1818D4—48no—
1819D4—44no—
1820D4—44no—
1821D4—44no—
1822D4—84no—
1823D4—84no—
1824D4—84no—
1825D4—84no—
1826D4—84no—
1827D4—84no—
1828D4—84no—
1829D4—88no—
1830D4—88no—
1831D4—88no—
1832D4—84no—
1833D4—88no—
1834D4—164no—
1835D4—164no—
1836D4—164no—
1837D4—164no—
1838D4—164no—
1839D4—164no—
1840D4—164no—
1841D4—164no—
1842C2×C4—21no—
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—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—24no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—24no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—24no—
1878C2×C4—24no—
1879C2×C4—24no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—24no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—21no—
1896C2×C4—22no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—24no—
1904C2×C4—24no—
1905C2×C4—22no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—44no—
1914C2×C4—48no—
1915C2×C4—48no—
1916C2×C4—48no—
1917C2×C4—48no—
1918C2×C4—44no—
1919C2×C4—44no—
1920C2×C4—44no—
1921C2×C4—44no—
1922C2×C4—44no—
1923C2×C4—44no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—48no—
1929C2×C4—48no—
1930C2×C4—48no—
1931C2×C4—84no—
1932C2×C4—82no—
1933C2×C4—88no—
1934C2×C4—84no—
1935C2×C4—84no—
1936C2×C4—84no—
1937C2×C4—88no—
1938C2×C4—164no—
1939C2×C4—164no—
1940C2×C4#560116yescomplemented
1941C2×C4C2×H(5,𝔽2)12yes—
1942C2×C4C2×H(5,𝔽2)12yes—
1943C2×C4C2×H(5,𝔽2)12yes—
1944C2×C4C2×H(5,𝔽2)12yes—
1945C2×C4C2×H(5,𝔽2)12yes—
1946C2×C4C2×H(5,𝔽2)12yes—
1947C2×C4C2×H(5,𝔽2)12yes—
1948C22—22no—
1949C22—22no—
1950C22—22no—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—416no—
1964C22—41no—
1965C22—41no—
1966C22—41no—
1967C22—41no—
1968C22—41no—
1969C22—41no—
1970C22—41no—
1971C22—41no—
1972C22—41no—
1973C22—41no—
1974C22—41no—
1975C22—41no—
1976C22—42no—
1977C22—41no—
1978C22—44no—
1979C22—42no—
1980C22—42no—
1981C22—42no—
1982C22—42no—
1983C22—44no—
1984C22—41no—
1985C22—42no—
1986C22—41no—
1987C22—44no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—44no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—41no—
1996C22—42no—
1997C22—42no—
1998C22—41no—
1999C22—42no—
2000C22—44no—
2001C22—42no—
2002C22—42no—
2003C22—44no—
2004C22—42no—
2005C22—41no—
2006C22—44no—
2007C22—42no—
2008C22—41no—
2009C22—42no—
2010C22—42no—
2011C22—88no—
2012C22—816no—
2013C22—168no—
2014C22C2×#56014yes—
2015C22C22×H(5,𝔽2)11yescharacteristic
2016C22C22×H(5,𝔽2)11yescharacteristic
2017C22C22×H(5,𝔽2)11yescharacteristic
2018C22C22×H(5,𝔽2)11yescharacteristic
2019C22C2×#58511yescharacteristic
2020C22H(7,𝔽2)11yescharacteristic
2021C222−1+611yescharacteristic
2022C4—22no—
2023C4—41no—
2024C4—44no—
2025C4—42no—
2026C4—41no—
2027C4—41no—
2028C4—42no—
2029C4—44no—
2030C4—44no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—41no—
2036C4—41no—
2037C4—41no—
2038C4—41no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C4C2×#56014yes—
2047C4C2×#56014yes—
2048C2—24no—
2049C2—42no—
2050C2—42no—
2051C2—42no—
2052C2—82no—
2053C2—81no—
2054C2—82no—
2055C2—82no—
2056C2—84no—
2057C2C22×#56011yescharacteristic
2058C2#6281811yescharacteristic
2059C2#6287511yescharacteristic
2060C2#6291211yescharacteristic
2061C2#6291411yescharacteristic
2062C2#6295411yescharacteristic
2063C2#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. #53128C2semidirect
2. #53096C2semidirect
3. #53014C2semidirect
4. #52971C2semidirect
5. #52966C2semidirect
6. #52962C2semidirect
7. #52957C2semidirect
8. #52956C2semidirect
9. #52375C2semidirect
10. #52320C2semidirect
11. #45687C2semidirect
12. #45623C2semidirect
13. #45608C2semidirect
14. #45599C2semidirect
15. #45598C2semidirect
16. #45593C2semidirect
17. #45529C2semidirect
18. #45483C2semidirect
19. #45478C2semidirect
20. #45444C2semidirect
21. #35565C2semidirect
22. #35545C2semidirect
23. #35544C2semidirect
24. #35541C2semidirect
25. #35514C2semidirect
26. #35514C2semidirect
27. #35256C2semidirect
28. #35255C2semidirect
29. #35251C2semidirect
30. #35250C2semidirect
31. #35227C2semidirect
32. #35223C2semidirect
33. #34935C2semidirect
34. #34736C2semidirect
35. C2×#2416C2semidirect
37. C2×#560C22semidirect
42. C2×#535C22semidirect
46. C2×#525C22semidirect
49. C22×#121C22semidirect
50. C2×#518C22semidirect
51. C2×C4×#41C22semidirect
53. C23×C4⋊C4C22semidirect
54. #2856C22semidirect
55. #2855C22semidirect
56. #2854C22semidirect
57. #2850C22semidirect
58. #2849C22semidirect
59. #2848C22semidirect
60. #2847C22semidirect
61. #2847C22semidirect
62. #2847C22semidirect
63. #2847C22semidirect
64. #2841C22semidirect
65. #2838C22semidirect
66. #2830C22semidirect
67. #2829C22semidirect
68. #2829C22semidirect
69. #2829C22semidirect
70. #2828C22semidirect
71. #2827C22semidirect
72. #2827C22semidirect
73. #2826C22semidirect
74. #2826C22semidirect
75. #2825C22semidirect
76. #2825C22semidirect
77. #2825C22semidirect
78. #2824C22semidirect
79. #2815C22semidirect
80. #2813C22semidirect
81. #2813C22semidirect
82. #2813C22semidirect
83. #2812C22semidirect
84. #2784C22semidirect
85. #2784C22semidirect
86. #2780C22semidirect
87. #2778C22semidirect
88. #2760C22semidirect
89. #2757C22semidirect
90. #2756C22semidirect
91. #2749C22semidirect
92. #2749C22semidirect
93. #2749C22semidirect
94. #2748C22semidirect
95. #2746C22semidirect
96. #2737C22semidirect
97. #2714C22semidirect
98. #2709C22semidirect
99. #2705C22semidirect
100. #2703C22semidirect
101. #2703C22semidirect
102. #2699C22semidirect
103. #2699C22semidirect
104. #2697C22semidirect
105. #2693C22semidirect
106. #2693C22semidirect
107. #2691C22semidirect
108. #2691C22semidirect
109. #2691C22semidirect
110. #2688C22semidirect
111. #2688C22semidirect
112. #2688C22semidirect
113. #2688C22semidirect
114. #2685C22semidirect
115. #2678C22semidirect
116. #2675C22semidirect
117. #2673C22semidirect
118. #2673C22semidirect
119. #2673C22semidirect
120. #2673C22semidirect
121. #2669C22semidirect
122. #2668C22semidirect
123. #2668C22semidirect
124. #2625C22semidirect
125. #2624C22semidirect
126. #2623C22semidirect
127. #2620C22semidirect
128. #2619C22semidirect
129. #2618C22semidirect
130. #2616C22semidirect
131. #2615C22semidirect
132. #2615C22semidirect
133. #2615C22semidirect
134. #2541C22semidirect
135. #2541C22semidirect
136. #2541C22semidirect
137. #2541C22semidirect
138. #2540C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2539C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
145. #2537C22semidirect
146. #2537C22semidirect
147. #2537C22semidirect
148. #2537C22semidirect
149. #2537C22semidirect
150. #2537C22semidirect
151. #2536C22semidirect
152. #2536C22semidirect
153. #2535C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2535C22semidirect
157. #2535C22semidirect
158. #2535C22semidirect
160. #2534C22semidirect
161. #2514C22semidirect
162. #2513C22semidirect
163. #2512C22semidirect
164. #2511C22semidirect
165. #2510C22semidirect
166. #2504C22semidirect
167. #2503C22semidirect
168. #2502C22semidirect
169. #2501C22semidirect
170. #2497C22semidirect
171. #2497C22semidirect
172. #2497C22semidirect
173. #2496C22semidirect
174. #2496C22semidirect
175. #2496C22semidirect
176. #2495C22semidirect
177. #2495C22semidirect
178. #2495C22semidirect
179. #2494C22semidirect
180. #2494C22semidirect
181. #2494C22semidirect
182. #2493C22semidirect
183. #2487C22semidirect
184. #2487C22semidirect
185. #2486C22semidirect
186. #2486C22semidirect
187. #2486C22semidirect
188. #2481C22semidirect
190. #2447C22semidirect
191. #2447C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2444C22semidirect
195. #2443C22semidirect
196. #2436C22semidirect
197. #2433C22semidirect
198. #2433C22semidirect
199. #2431C22semidirect
200. #2431C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2427C22semidirect
209. #2427C22semidirect
210. #2427C22semidirect
211. #2427C22semidirect
212. #2426C22semidirect
213. #2426C22semidirect
214. #2424C22semidirect
215. #2424C22semidirect
216. #2423C22semidirect
217. #2422C22semidirect
218. #2422C22semidirect
219. #2422C22semidirect
220. #2421C22semidirect
221. #2420C22semidirect
222. #2420C22semidirect
223. #2420C22semidirect
224. #2417C22semidirect
225. #2417C22semidirect
226. #2417C22semidirect
227. #2417C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
234. #2416C22semidirect
235. #2416C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2412C22semidirect
241. #2412C22semidirect
242. #2412C22semidirect
243. #2412C22semidirect
246. #2410C22semidirect
247. #2409C22semidirect
248. #2409C22semidirect
249. #2409C22semidirect
251. #2408C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
266. #2392C22semidirect
267. #2392C22semidirect
268. C2×#396C22semidirect
269. #2388C22semidirect
270. #2388C22semidirect
272. #2380C22semidirect
273. #2377C22semidirect
274. #2377C22semidirect
275. #2317C22semidirect
276. #2317C22semidirect
277. #2317C22semidirect
278. #2316C22semidirect
283. #2311C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#120C22semidirect
287. C4×#120C22semidirect
290. C2×#390C22semidirect
291. C2×#389C22semidirect
292. C2×#386C22semidirect
293. #2285C22semidirect
296. #2280C22semidirect
298. #2274C22semidirect
1940. C2×C4#560semidirect

Maximal subgroups

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

subgroupindex
#531282
#530962
#530142
#529712
#529662
#529622
#529572
#529562
#523752
#523202
#456872
#456232
#456082
#455992
#455982
#455932
#455292
#454832
#454782
#454442
#355652
#355452
#355442
#355412
#355142
#352562
#352552
#352512
#352502
#352272
#352232
#349352
#347362
C2×#24162