Finite Group Databasebeta

← #8424659

Subgroups — #8424659

Order 512.

5922 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59680C211yesmaximal, characteristic, complemented
2#59412C212yesmaximal, complemented
3#59126C211yesmaximal, characteristic, complemented
4#59051C211yesmaximal, characteristic, complemented
5#59030C212yesmaximal, complemented
6#53431C214yesmaximal, complemented
7#53427C214yesmaximal, complemented
8#53060C212yesmaximal, complemented
9#53000C212yesmaximal, complemented
10#52981C212yesmaximal, complemented
11#52981C212yesmaximal, complemented
12#52484C214yesmaximal, complemented
13#42951C212yesmaximal, complemented
14#42545C212yesmaximal, complemented
15#42474C212yesmaximal, complemented
16#42430C212yesmaximal, complemented
17#40917C214yesmaximal, complemented
18#40053C212yesmaximal, complemented
19#39948C212yesmaximal, complemented
20#39352C211yesmaximal, characteristic, complemented
21#39156C211yesmaximal, characteristic, complemented
22#38945C212yesmaximal, complemented
23#38910C211yesmaximal, characteristic, complemented
24#38908C211yesmaximal, characteristic, complemented
25#37775C212yesmaximal, complemented
26#37616C211yesmaximal, characteristic, complemented
27#37614C211yesmaximal, characteristic, complemented
28#37570C212yesmaximal, complemented
29#37493C212yesmaximal, complemented
30#36591C211yesmaximal, characteristic, complemented
31#36260C211yesmaximal, characteristic, complemented
32#36121C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34917C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#550C2212yescomplemented
38C2×#547C2211yescharacteristic, complemented
39C2×#546C2212yescomplemented
40C2×#546C2212yescomplemented
41C2×#546C2212yescomplemented
42C2×D42C2212yes—
43C2×D42C2212yes—
44C2×D42C2211yescharacteristic
45C2×#540C2212yescomplemented
46C2×#532C2211yescharacteristic, complemented
47C22×#127C2211yescharacteristic
48C2×#529C2212yescomplemented
49C2×#529C2211yescharacteristic, complemented
50C2×#529C2211yescharacteristic, complemented
51#2861C2212yescomplemented
52#2858C2211yescharacteristic
53#2857C2211yescharacteristic, complemented
54#2856C2211yescharacteristic
55#2856C2212yescomplemented
56#2842C2214yescomplemented
57#2837C2214yescomplemented
58#2837C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2828C2214yescomplemented
62#2828C2214yescomplemented
63#2825C2214yescomplemented
64#2818C2214yescomplemented
65#2815C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2812C2214yescomplemented
70#2797C2214yescomplemented
71#2777C2214yescomplemented
72#2746C2214yescomplemented
73#2740C2214yescomplemented
74#2718C2214yescomplemented
75#2714C2214yescomplemented
76#2714C2214yescomplemented
77#2706C2214yescomplemented
78#2705C2214yescomplemented
79#2705C2214yescomplemented
80#2705C2214yescomplemented
81#2703C2214yescomplemented
82#2701C2214yescomplemented
83#2697C2214yescomplemented
84#2697C2214yescomplemented
85#2695C2214yescomplemented
86#2693C2214yescomplemented
87#2691C2214yescomplemented
88#2688C2214yescomplemented
89#2685C2214yescomplemented
90#2685C2214yescomplemented
91#2685C2214yescomplemented
92#2682C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2671C2214yescomplemented
103#2669C2214yes—
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2668C2214yescomplemented
107#2661C2214yescomplemented
108#2661C2214yescomplemented
109#2657C2212yescomplemented
110#2649C2214yescomplemented
111#2648C2214yescomplemented
112#2648C2214yescomplemented
113#2644C2212yescomplemented
114#2641C2212yescomplemented
115#2636C2214yescomplemented
116#2630C2214yescomplemented
117#2625C2212yescomplemented
118#2624C2212yescomplemented
119#2624C2212yescomplemented
120#2622C2214yescomplemented
121#2620C2212yescomplemented
122#2620C2212yescomplemented
123#2620C2212yescomplemented
124#2619C2212yescomplemented
125#2619C2212yescomplemented
126#2619C2212yescomplemented
127#2617C2214yescomplemented
128#2613C2214yescomplemented
129#2613C2214yescomplemented
130#2595C2214yescomplemented
131#2578C2212yescomplemented
132#2576C2212yescomplemented
133#2570C2211yescharacteristic, complemented
134#2568C2211yescharacteristic, complemented
135#2566C2211yescharacteristic, complemented
136#2566C2212yescomplemented
137#2562C2211yescharacteristic, complemented
138#2554C2212yescomplemented
139#2554C2214yescomplemented
140#2554C2212yescomplemented
141#2552C2211yescharacteristic, complemented
142#2552C2211yescharacteristic, complemented
143#2548C2211yescharacteristic
144#2548C2211yescharacteristic, complemented
145#2548C2211yescharacteristic, complemented
146#2544C2212yescomplemented
147#2544C2212yescomplemented
148#2542C2211yescharacteristic, complemented
149#2541C2211yescharacteristic
150#2541C2211yescharacteristic
151#2541C2211yescharacteristic
152#2541C2211yescharacteristic
153#2541C2212yescomplemented
154#2541C2211yescharacteristic, complemented
155#2541C2212yescomplemented
156#2540C2212yescomplemented
157#2540C2212yescomplemented
158#2540C2212yescomplemented
159#2539C2214yescomplemented
160#2539C2214yescomplemented
161#2538C2212yescomplemented
162#2538C2211yescharacteristic, complemented
163#2538C2211yescharacteristic, complemented
164#2537C2212yescomplemented
165#2535C2211yescharacteristic
166#2535C2212yescomplemented
167#2535C2212yescomplemented
168#2534C2214yescomplemented
169#2516C2214yescomplemented
170#2515C2212yescomplemented
171#2513C2212yescomplemented
172#2512C2212yescomplemented
173#2512C2212yescomplemented
174#2512C2212yescomplemented
175#2501C2212yescomplemented
176#2501C2212yescomplemented
177#2499C2212yescomplemented
178#2497C2211yescharacteristic, complemented
179#2497C2212yescomplemented
180#2494C2211yescharacteristic, complemented
181#2490C2212yes—
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2490C2211yescharacteristic, complemented
185#2490C2211yescharacteristic, complemented
186#2476C2214yescomplemented
187#2471C2214yescomplemented
188#2457C2212yescomplemented
189#2456C2214yescomplemented
190#2456C2214yescomplemented
191#2456C2214yescomplemented
192#2456C2214yescomplemented
193#2454C2212yescomplemented
194#2448C2212yescomplemented
195#2448C2212yescomplemented
196#2447C2212yescomplemented
197#2445C2212yescomplemented
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2445C2212yescomplemented
203#2442C2212yescomplemented
204#2435C2212yescomplemented
205#2435C2212yescomplemented
206#2435C2212yescomplemented
207#2433C2212yes—
208#2433C2212yes—
209#2433C2212yescomplemented
210#2433C2214yescomplemented
211#2433C2212yescomplemented
212#2431C2212yescomplemented
213#2431C2212yescomplemented
214#2428C2212yes—
215#2428C2212yes—
216#2428C2212yescomplemented
217#2428C2214yescomplemented
218#2428C2212yescomplemented
219#2428C2212yescomplemented
220#2427C2212yescomplemented
221#2426C2211yescharacteristic
222#2426C2212yescomplemented
223#2426C2211yescharacteristic, complemented
224#2426C2212yescomplemented
225#2424C2214yescomplemented
226#2424C2214yescomplemented
227#2422C2211yescharacteristic
228#2422C2214yescomplemented
229#2422C2212yescomplemented
230#2421C2212yescomplemented
231#2420C2211yescharacteristic, complemented
232#2418C2214yescomplemented
233#2418C2214yescomplemented
234#2417C2212yescomplemented
235#2417C2212yescomplemented
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2415C2212yescomplemented
240#2414C2214yescomplemented
241#2414C2212yescomplemented
242#2414C2212yescomplemented
243#2411C2214yescomplemented
244#2408C2212yes—
245#2408C2212yes—
246#2408C2212yescomplemented
247#2408C2212yescomplemented
248#2408C2212yescomplemented
249#2408C2212yescomplemented
250#2408C2212yescomplemented
251#2408C2212yescomplemented
252#2407C2212yes—
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2405C2214yescomplemented
257#2403C2214yes—
258#2401C2212yescomplemented
259#2392C2214yescomplemented
260#2392C2212yescomplemented
261#2392C2212yescomplemented
262#2392C2212yescomplemented
263#2367C2212yescomplemented
264#2366C2211yescharacteristic
265#2366C2212yescomplemented
266#2365C2211yescharacteristic, complemented
267#2361C2212yescomplemented
268#2357C2212yescomplemented
269#2354C2211yescharacteristic, complemented
270D4×C4⋊C4C2211yescharacteristic, complemented
271D4×C22⋊C4C2214yescomplemented
272D4×C22⋊C4C2212yescomplemented
273D4×C22⋊C4C2212yescomplemented
274#2330C2212yescomplemented
275#2321C2214yescomplemented
276#2311C2212yescomplemented
277#2309C2212yescomplemented
278C4×#127C2212yescomplemented
279C4×#127C2212yescomplemented
280C4×#127C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic, complemented
282C4×#125C2211yescharacteristic, complemented
283C4×#124C2212yescomplemented
284C4×#123C2212yescomplemented
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290#2293C2212yescomplemented
291#2293C2212yescomplemented
292C2×#390C2212yescomplemented
293#2290C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2314yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#553—48no—
308#550—48no—
309#547—44no—
310#546—48no—
311#546—48no—
312#546—48no—
313D42—44no—
314D42—48no—
315D42—48no—
316#540—48no—
317#532—44no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127—44no—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2314yes—
332#529—44no—
333#529—44no—
334#529—48no—
335C2×#126C2312yes—
336C2×#126C2312yes—
337C2×#126C2314yes—
338C2×#126C2314yes—
339C2×#125C2311yescharacteristic
340C2×#125C2312yes—
341C2×#125C2311yescharacteristic
342C2×#125C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2311yescharacteristic
349C2×#124C2311yescharacteristic
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2312yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2311yescharacteristic
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2314yes—
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C22⋊C4C2314yes—
454C22×C22⋊C4C2314yes—
455C22×C22⋊C4C2314yes—
456C22×C42C2311yescharacteristic
457C22×C42C2311yescharacteristic
458C22×C42C2312yes—
459#401C2312yes—
460#400C2312yes—
461#400C2314yes—
462#400C2312yes—
463#400C2314yes—
464#400C2312yes—
465#400C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#398C2312yes—
474#398C2314yes—
475#398C2314yes—
476#398C2312yes—
477#398C2312yes—
478#398C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2312yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2312yes—
496#397C2312yes—
497#397C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2312yes—
502#396C2314yes—
503#396C2312yes—
504#396C2314yes—
505#396C2314yes—
506#396C2312yes—
507#396C2314yes—
508#396C2314yes—
509#396C2312yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2312yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
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#394C2312yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2314yes—
558#394C2312yes—
559#394C2312yes—
560#394C2312yes—
561#394C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2312yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2312yes—
588#392C2312yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2312yes—
611#390C2312yes—
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2312yes—
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2312yes—
633#390C2314yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2314yes—
644#390C2312yes—
645#390C2311yescharacteristic
646#390C2314yes—
647#390C2312yes—
648#390C2314yes—
649#390C2312yes—
650#390C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2312yes—
656#389C2314yes—
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2314yes—
660#389C2312yes—
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2314yes—
689#388C2312yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2312yes—
734#385C2312yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2314yes—
743#385C2314yes—
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2312yes—
747#384C2311yescharacteristic
748#384C2312yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#383C2312yes—
752#382C2311yescharacteristic
753#382C2312yes—
754#382C2311yescharacteristic
755#382C2311yescharacteristic
756#382C2312yes—
757#381C2312yes—
758#381C2314yes—
759#381C2312yes—
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822#376C2312yes—
823C43C2311yescharacteristic
824C43C2312yes—
825C25C2414yes—
826C25C2414yes—
827C2×#41—28no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×D4—28no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—48no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—48no—
851C22×D4—48no—
852C22×D4—82no—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2411yescharacteristic
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2414yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2411yescharacteristic
901C23×C4C2414yes—
902C23×C4C2414yes—
903C4⋊Q8—24no—
904#127—28no—
905#127—24no—
906#127—24no—
907#127—44no—
908#127—44no—
909#127—44no—
910#127—42no—
911#127—44no—
912#127—44no—
913#127—44no—
914#127—44no—
915#127—48no—
916#126—44no—
917#126—44no—
918#126—48no—
919#126—48no—
920#125—28no—
921#125—24no—
922#125—42no—
923#125—42no—
924#124—28no—
925#124—44no—
926#124—42no—
927#124—42no—
928#124—44no—
929#124—44no—
930#124—44no—
931#123—48no—
932#123—48no—
933#123—48no—
934#123—48no—
935#123—44no—
936#123—44no—
937#123—44no—
938#123—48no—
939#123—48no—
940#123—48no—
941#123—48no—
942#123—84no—
943C22⋊Q8—42no—
944C22⋊Q8—42no—
945C22⋊Q8—44no—
946C22⋊Q8—44no—
947C22⋊Q8—44no—
948C22⋊Q8—44no—
949C22⋊Q8—44no—
950#121—24no—
951#121—24no—
952#121—28no—
953#121—24no—
954#121—24no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—44no—
963#121—42no—
964#121—42no—
965#121—44no—
966#121—44no—
967#121—48no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—48no—
980#121—48no—
981#121—84no—
982#121—82no—
983#120—48no—
984#120—48no—
985#120—48no—
986#120—48no—
987#120—48no—
988#120—48no—
989#120—48no—
990#120—48no—
991#120—48no—
992#120—84no—
993#120—84no—
994#120—84no—
995C4×Q8—24no—
996C4×Q8—24no—
997C4×Q8—42no—
998C4×Q8—44no—
999C4×D4—24no—
1000C4×D4—28no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—28no—
1007C4×D4—28no—
1008C4×D4—44no—
1009C4×D4—48no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—42no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—48no—
1023C4×D4—42no—
1024C4×D4—48no—
1025C4×D4—84no—
1026C4×D4—82no—
1027#117—44no—
1028#117—44no—
1029#117—44no—
1030#117—48no—
1031#117—44no—
1032C2×C4⋊C4—44no—
1033C2×C4⋊C4—44no—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C22⋊C4—48no—
1088C2×C22⋊C4—48no—
1089C2×C22⋊C4—48no—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C42—24no—
1175C2×C42—24no—
1176C2×C42—44no—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2414yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2412yes—
1196C2×C42C2414yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2411yescharacteristic
1209#95C2412yes—
1210#95C2412yes—
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2412yes—
1216#95C2412yes—
1217#95C2411yescharacteristic
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249C24—28no—
1250C24—28no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24—44no—
1261C24—44no—
1262C24—44no—
1263C24C2514yes—
1264C24C2512yes—
1265C24C2514yes—
1266C24C2512yes—
1267C24C2511yescharacteristic
1268C24C2512yes—
1269C24C2511yescharacteristic
1270#41—816no—
1271#41—816no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—24no—
1275C2×Q8—24no—
1276C2×Q8—24no—
1277C2×Q8—22no—
1278C2×D4—28no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—28no—
1284C2×D4—28no—
1285C2×D4—28no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—28no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—22no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—41no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—816no—
1380C2×D4—816no—
1381C2×D4—816no—
1382C2×D4—816no—
1383C2×D4—816no—
1384C2×D4—832no—
1385C2×D4H(5,𝔽2)14yes—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—28no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—28no—
1414C22×C4—28no—
1415C22×C4—41no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—41no—
1426C22×C4—44no—
1427C22×C4—42no—
1428C22×C4—41no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2514yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—28no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—41no—
1495C4⋊C4—41no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4H(5,𝔽2)14yes—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—22no—
1519C22⋊C4—24no—
1520C22⋊C4—22no—
1521C22⋊C4—24no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—28no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—22no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—24no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—24no—
1607C42—24no—
1608C42—24no—
1609C42—24no—
1610C42—22no—
1611C42—24no—
1612C42—22no—
1613C42—24no—
1614C42—42no—
1615C42—42no—
1616C42—44no—
1617C42—41no—
1618C42—44no—
1619C42—41no—
1620C42—42no—
1621C42—42no—
1622C42—42no—
1623C42H(5,𝔽2)14yes—
1624C42H(5,𝔽2)14yes—
1625C23—21no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—22no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—21no—
1637C23—24no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—24no—
1642C23—24no—
1643C23—22no—
1644C23—24no—
1645C23—22no—
1646C23—21no—
1647C23—22no—
1648C23—21no—
1649C23—22no—
1650C23—24no—
1651C23—21no—
1652C23—21no—
1653C23—22no—
1654C23—24no—
1655C23—24no—
1656C23—24no—
1657C23—21no—
1658C23—24no—
1659C23—21no—
1660C23—24no—
1661C23—24no—
1662C23—24no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—24no—
1669C23—24no—
1670C23—22no—
1671C23—21no—
1672C23—88no—
1673C23—88no—
1674C23—88no—
1675C23—88no—
1676C23—88no—
1677C23—88no—
1678C23—88no—
1679C23—88no—
1680C23—88no—
1681C23—88no—
1682C23—164no—
1683C23—164no—
1684C23—164no—
1685C23—164no—
1686C23C2×H(5,𝔽2)14yes—
1687C23#58512yes—
1688C23C2611yescharacteristic
1689Q8—48no—
1690Q8—44no—
1691D4—28no—
1692D4—44no—
1693D4—416no—
1694D4—48no—
1695D4—48no—
1696D4—48no—
1697D4—48no—
1698D4—48no—
1699D4—44no—
1700D4—48no—
1701D4—44no—
1702D4—48no—
1703D4—84no—
1704D4—84no—
1705D4—84no—
1706D4—88no—
1707D4—84no—
1708D4—84no—
1709D4—88no—
1710D4—88no—
1711D4—88no—
1712D4—84no—
1713D4—84no—
1714D4—88no—
1715D4—88no—
1716D4—88no—
1717D4—88no—
1718D4—88no—
1719D4—88no—
1720D4—164no—
1721D4—164no—
1722D4—164no—
1723D4—164no—
1724D4—164no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—24no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—22no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—44no—
1800C2×C4—48no—
1801C2×C4—44no—
1802C2×C4—48no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—48no—
1806C2×C4—44no—
1807C2×C4—88no—
1808C2×C4—84no—
1809C2×C4—82no—
1810C2×C4—88no—
1811C2×C4—84no—
1812C2×C4—88no—
1813C2×C4—88no—
1814C2×C4—164no—
1815C2×C4C2×H(5,𝔽2)12yes—
1816C2×C4C2×H(5,𝔽2)14yes—
1817C2×C4C2×H(5,𝔽2)12yes—
1818C2×C4C2×H(5,𝔽2)12yes—
1819C2×C4C2×H(5,𝔽2)12yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4C2×H(5,𝔽2)12yes—
1822C2×C4C2×H(5,𝔽2)12yes—
1823C2×C4C2×H(5,𝔽2)12yes—
1824C2×C4#58512yes—
1825C22—24no—
1826C22—22no—
1827C22—24no—
1828C22—22no—
1829C22—24no—
1830C22—22no—
1831C22—41no—
1832C22—42no—
1833C22—41no—
1834C22—42no—
1835C22—42no—
1836C22—41no—
1837C22—41no—
1838C22—42no—
1839C22—41no—
1840C22—42no—
1841C22—42no—
1842C22—44no—
1843C22—44no—
1844C22—41no—
1845C22—42no—
1846C22—44no—
1847C22—44no—
1848C22—42no—
1849C22—41no—
1850C22—42no—
1851C22—44no—
1852C22—42no—
1853C22—44no—
1854C22—44no—
1855C22—42no—
1856C22—44no—
1857C22—41no—
1858C22—42no—
1859C22—44no—
1860C22—42no—
1861C22—41no—
1862C22—44no—
1863C22—42no—
1864C22—41no—
1865C22—42no—
1866C22—44no—
1867C22—42no—
1868C22—44no—
1869C22—41no—
1870C22—44no—
1871C22—44no—
1872C22—42no—
1873C22—42no—
1874C22—1616no—
1875C22—1616no—
1876C22C22×H(5,𝔽2)11yescharacteristic
1877C22C22×H(5,𝔽2)11yescharacteristic
1878C22C22×H(5,𝔽2)11yescharacteristic
1879C22C22×H(5,𝔽2)11yescharacteristic
1880C22C2×#58511yescharacteristic
1881C22C2×#58511yescharacteristic
1882C22H(7,𝔽2)11yescharacteristic
1883C4—22no—
1884C4—24no—
1885C4—22no—
1886C4—22no—
1887C4—42no—
1888C4—41no—
1889C4—42no—
1890C4—41no—
1891C4—44no—
1892C4—41no—
1893C4—42no—
1894C4—41no—
1895C4—42no—
1896C4—42no—
1897C4—41no—
1898C4—42no—
1899C4—42no—
1900C4—44no—
1901C4—42no—
1902C4—42no—
1903C4—41no—
1904C4—42no—
1905C4—42no—
1906C4—41no—
1907C4—41no—
1908C4—42no—
1909C4#354314yes—
1910C4#354614yes—
1911C2—44no—
1912C2—42no—
1913C2—81no—
1914C2—82no—
1915C2—84no—
1916C2—82no—
1917C2—84no—
1918C2C2×#354311yescharacteristic
1919C2C2×#354611yescharacteristic
1920C2#6274811yescharacteristic
1921C2#6291611yescharacteristic
1922C2#6292011yescharacteristic
1923C2#6292411yescharacteristic
1924C2#6301211yescharacteristic
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. #59680C2semidirect
2. #59412C2semidirect
3. #59126C2semidirect
4. #59051C2semidirect
5. #59030C2semidirect
6. #53431C2semidirect
7. #53427C2semidirect
8. #53060C2semidirect
9. #53000C2semidirect
10. #52981C2semidirect
11. #52981C2semidirect
12. #52484C2semidirect
13. #42951C2semidirect
14. #42545C2semidirect
15. #42474C2semidirect
16. #42430C2semidirect
17. #40917C2semidirect
18. #40053C2semidirect
19. #39948C2semidirect
20. #39352C2semidirect
21. #39156C2semidirect
22. #38945C2semidirect
23. #38910C2semidirect
24. #38908C2semidirect
25. #37775C2semidirect
26. #37616C2semidirect
27. #37614C2semidirect
28. #37570C2semidirect
29. #37493C2semidirect
30. #36591C2semidirect
31. #36260C2semidirect
32. #36121C2semidirect
33. #34934C2semidirect
34. #34934C2semidirect
35. #34917C2semidirect
36. C2×#553C22semidirect
37. C2×#550C22semidirect
38. C2×#547C22semidirect
39. C2×#546C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
45. C2×#540C22semidirect
46. C2×#532C22semidirect
48. C2×#529C22semidirect
49. C2×#529C22semidirect
50. C2×#529C22semidirect
51. #2861C22semidirect
53. #2857C22semidirect
55. #2856C22semidirect
56. #2842C22semidirect
57. #2837C22semidirect
58. #2837C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2828C22semidirect
63. #2825C22semidirect
64. #2818C22semidirect
65. #2815C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2812C22semidirect
70. #2797C22semidirect
71. #2777C22semidirect
72. #2746C22semidirect
73. #2740C22semidirect
74. #2718C22semidirect
75. #2714C22semidirect
76. #2714C22semidirect
77. #2706C22semidirect
78. #2705C22semidirect
79. #2705C22semidirect
80. #2705C22semidirect
81. #2703C22semidirect
82. #2701C22semidirect
83. #2697C22semidirect
84. #2697C22semidirect
85. #2695C22semidirect
86. #2693C22semidirect
87. #2691C22semidirect
88. #2688C22semidirect
89. #2685C22semidirect
90. #2685C22semidirect
91. #2685C22semidirect
92. #2682C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2671C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2668C22semidirect
107. #2661C22semidirect
108. #2661C22semidirect
109. #2657C22semidirect
110. #2649C22semidirect
111. #2648C22semidirect
112. #2648C22semidirect
113. #2644C22semidirect
114. #2641C22semidirect
115. #2636C22semidirect
116. #2630C22semidirect
117. #2625C22semidirect
118. #2624C22semidirect
119. #2624C22semidirect
120. #2622C22semidirect
121. #2620C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
124. #2619C22semidirect
125. #2619C22semidirect
126. #2619C22semidirect
127. #2617C22semidirect
128. #2613C22semidirect
129. #2613C22semidirect
130. #2595C22semidirect
131. #2578C22semidirect
132. #2576C22semidirect
133. #2570C22semidirect
134. #2568C22semidirect
135. #2566C22semidirect
136. #2566C22semidirect
137. #2562C22semidirect
138. #2554C22semidirect
139. #2554C22semidirect
140. #2554C22semidirect
141. #2552C22semidirect
142. #2552C22semidirect
144. #2548C22semidirect
145. #2548C22semidirect
146. #2544C22semidirect
147. #2544C22semidirect
148. #2542C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2540C22semidirect
157. #2540C22semidirect
158. #2540C22semidirect
159. #2539C22semidirect
160. #2539C22semidirect
161. #2538C22semidirect
162. #2538C22semidirect
163. #2538C22semidirect
164. #2537C22semidirect
166. #2535C22semidirect
167. #2535C22semidirect
168. #2534C22semidirect
169. #2516C22semidirect
170. #2515C22semidirect
171. #2513C22semidirect
172. #2512C22semidirect
173. #2512C22semidirect
174. #2512C22semidirect
175. #2501C22semidirect
176. #2501C22semidirect
177. #2499C22semidirect
178. #2497C22semidirect
179. #2497C22semidirect
180. #2494C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2476C22semidirect
187. #2471C22semidirect
188. #2457C22semidirect
189. #2456C22semidirect
190. #2456C22semidirect
191. #2456C22semidirect
192. #2456C22semidirect
193. #2454C22semidirect
194. #2448C22semidirect
195. #2448C22semidirect
196. #2447C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2442C22semidirect
204. #2435C22semidirect
205. #2435C22semidirect
206. #2435C22semidirect
209. #2433C22semidirect
210. #2433C22semidirect
211. #2433C22semidirect
212. #2431C22semidirect
213. #2431C22semidirect
216. #2428C22semidirect
217. #2428C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2427C22semidirect
222. #2426C22semidirect
223. #2426C22semidirect
224. #2426C22semidirect
225. #2424C22semidirect
226. #2424C22semidirect
228. #2422C22semidirect
229. #2422C22semidirect
230. #2421C22semidirect
231. #2420C22semidirect
232. #2418C22semidirect
233. #2418C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2415C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
242. #2414C22semidirect
243. #2411C22semidirect
246. #2408C22semidirect
247. #2408C22semidirect
248. #2408C22semidirect
249. #2408C22semidirect
250. #2408C22semidirect
251. #2408C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2405C22semidirect
258. #2401C22semidirect
259. #2392C22semidirect
260. #2392C22semidirect
261. #2392C22semidirect
262. #2392C22semidirect
263. #2367C22semidirect
265. #2366C22semidirect
266. #2365C22semidirect
267. #2361C22semidirect
268. #2357C22semidirect
269. #2354C22semidirect
270. D4×C4⋊C4C22semidirect
271. D4×C22⋊C4C22semidirect
272. D4×C22⋊C4C22semidirect
273. D4×C22⋊C4C22semidirect
274. #2330C22semidirect
275. #2321C22semidirect
276. #2311C22semidirect
277. #2309C22semidirect
278. C4×#127C22semidirect
279. C4×#127C22semidirect
280. C4×#127C22semidirect
281. C4×#127C22semidirect
282. C4×#125C22semidirect
283. C4×#124C22semidirect
284. C4×#123C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
292. C2×#390C22semidirect
293. #2290C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
296. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596802
#594122
#591262
#590512
#590302
#534312
#534272
#530602
#530002
#529812
#524842
#429512
#425452
#424742
#424302
#409172
#400532
#399482
#393522
#391562
#389452
#389102
#389082
#377752
#376162
#376142
#375702
#374932
#365912
#362602
#361212
#349342
#349172