Finite Group Databasebeta

← #8458933

Subgroups — #8458933

Order 512.

5402 conjugacy classes of subgroups.

The subgroup lattice has 1885 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59420C211yesmaximal, characteristic, complemented
2#59312C211yesmaximal, characteristic, complemented
3#59243C211yesmaximal, characteristic, complemented
4#57752C214yesmaximal, complemented
5#57584C214yesmaximal, complemented
6#53941C214yesmaximal, complemented
7#53056C212yesmaximal, complemented
8#52966C212yesmaximal, complemented
9#49641C214yesmaximal, complemented
10#45647C212yesmaximal, complemented
11#45642C212yesmaximal, complemented
12#45064C212yesmaximal, complemented
13#44899C212yesmaximal, complemented
14#42962C212yesmaximal, complemented
15#42616C212yesmaximal, complemented
16#42539C212yesmaximal, complemented
17#42433C212yesmaximal, complemented
18#39530C212yesmaximal, complemented
19#39434C212yesmaximal, complemented
20#39342C211yesmaximal, characteristic, complemented
21#39342C211yesmaximal, characteristic, complemented
22#39194C211yesmaximal, characteristic, complemented
23#39137C211yesmaximal, characteristic, complemented
24#38942C212yesmaximal, complemented
25#37975C212yesmaximal, complemented
26#37621C211yesmaximal, characteristic, complemented
27#37325C212yesmaximal, complemented
28#37300C212yesmaximal, complemented
29#36493C211yesmaximal, characteristic, complemented
30#36182C211yesmaximal, characteristic, complemented
31#36174C211yesmaximal, characteristic, complemented
32#35273C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#553C2212yescomplemented
38C2×#552C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×#540C2212yescomplemented
41C2×#537C2212yescomplemented
42C2×#535C2212yes—
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#529C2211yescharacteristic, complemented
47C2×C4×#41C2211yescharacteristic, complemented
48#2859C2211yescharacteristic, complemented
49#2857C2212yescomplemented
50#2856C2212yes—
51#2856C2211yescharacteristic
52#2856C2211yescharacteristic
53#2856C2212yescomplemented
54#2854C2212yescomplemented
55#2850C2212yes—
56#2850C2212yescomplemented
57#2830C2214yescomplemented
58#2829C2214yescomplemented
59#2827C2214yescomplemented
60#2825C2214yescomplemented
61#2825C2214yescomplemented
62#2820C2214yescomplemented
63#2815C2214yescomplemented
64#2813C2214yescomplemented
65#2803C2214yescomplemented
66#2801C2214yescomplemented
67#2801C2214yescomplemented
68#2800C2214yescomplemented
69#2788C2214yescomplemented
70#2786C2214yescomplemented
71#2778C2214yescomplemented
72#2772C2214yescomplemented
73#2760C2214yescomplemented
74#2759C2214yescomplemented
75#2756C2214yescomplemented
76#2756C2214yescomplemented
77#2752C2214yescomplemented
78#2749C2214yescomplemented
79#2735C2214yescomplemented
80#2730C2214yescomplemented
81#2730C2214yescomplemented
82#2723C2214yescomplemented
83#2721C2214yescomplemented
84#2714C2214yescomplemented
85#2714C2214yescomplemented
86#2710C2214yescomplemented
87#2710C2214yescomplemented
88#2705C2214yescomplemented
89#2705C2214yescomplemented
90#2699C2214yescomplemented
91#2699C2214yescomplemented
92#2697C2214yes—
93#2696C2214yescomplemented
94#2694C2214yescomplemented
95#2685C2214yescomplemented
96#2685C2214yescomplemented
97#2685C2214yescomplemented
98#2682C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2678C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2670C2214yes—
109#2670C2214yes—
110#2669C2214yes—
111#2669C2214yes—
112#2668C2214yescomplemented
113#2668C2214yescomplemented
114#2662C2214yescomplemented
115#2661C2214yescomplemented
116#2641C2214yescomplemented
117#2635C2214yescomplemented
118#2630C2214yescomplemented
119#2628C2212yescomplemented
120#2624C2212yes—
121#2622C2214yescomplemented
122#2620C2212yescomplemented
123#2620C2214yescomplemented
124#2619C2212yes—
125#2619C2214yescomplemented
126#2616C2212yescomplemented
127#2615C2212yes—
128#2615C2212yes—
129#2615C2212yescomplemented
130#2610C2214yescomplemented
131#2594C2214yescomplemented
132#2566C2212yescomplemented
133#2562C2212yescomplemented
134#2559C2212yescomplemented
135#2557C2214yescomplemented
136#2557C2212yescomplemented
137#2552C2212yescomplemented
138#2552C2211yescharacteristic, complemented
139#2550C2211yescharacteristic, complemented
140#2548C2212yescomplemented
141#2544C2211yescharacteristic
142#2541C2212yes—
143#2541C2212yes—
144#2541C2211yescharacteristic
145#2541C2211yescharacteristic
146#2540C2211yescharacteristic
147#2540C2212yescomplemented
148#2540C2212yescomplemented
149#2540C2212yescomplemented
150#2539C2214yescomplemented
151#2538C2211yescharacteristic
152#2538C2211yescharacteristic
153#2538C2211yescharacteristic, complemented
154#2538C2212yescomplemented
155#2538C2211yescharacteristic, complemented
156#2537C2211yescharacteristic
157#2537C2211yescharacteristic
158#2537C2212yescomplemented
159#2537C2212yescomplemented
160#2537C2211yescharacteristic, complemented
161#2535C2212yescomplemented
162#2535C2211yescharacteristic, complemented
163#2534C2214yes—
164#2527C2214yescomplemented
165#2526C2214yescomplemented
166#2521C2212yescomplemented
167#2521C2214yescomplemented
168#2518C2214yescomplemented
169#2513C2212yes—
170#2512C2212yes—
171#2512C2212yescomplemented
172#2512C2212yescomplemented
173#2504C2212yescomplemented
174#2501C2212yes—
175#2500C2212yescomplemented
176#2500C2212yescomplemented
177#2499C2212yescomplemented
178#2495C2212yescomplemented
179#2494C2212yescomplemented
180#2494C2212yescomplemented
181#2494C2212yescomplemented
182#2494C2212yescomplemented
183#2492C2211yescharacteristic, complemented
184#2491C2212yes—
185#2491C2212yes—
186#2490C2212yes—
187#2490C2211yescharacteristic
188#2490C2212yes—
189#2490C2214yescomplemented
190#2490C2212yescomplemented
191#2490C2212yescomplemented
192#2489C2212yescomplemented
193#2486C2212yescomplemented
194#2476C2212yescomplemented
195#2474C2212yescomplemented
196#2471C2214yescomplemented
197#2471C2214yescomplemented
198#2464C2212yescomplemented
199#2464C2214yescomplemented
200#2459C2212yescomplemented
201#2456C2214yescomplemented
202#2456C2212yescomplemented
203#2454C2212yescomplemented
204#2451C2211yescharacteristic, complemented
205#2448C2212yescomplemented
206#2445C2211yescharacteristic
207#2445C2214yescomplemented
208#2441C2212yescomplemented
209#2441C2212yescomplemented
210#2439C2211yescharacteristic, complemented
211#2435C2212yes—
212#2435C2212yes—
213#2433C2212yes—
214#2433C2212yes—
215#2431C2211yescharacteristic
216#2431C2212yescomplemented
217#2428C2211yescharacteristic
218#2428C2214yescomplemented
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2427C2212yes—
223#2427C2212yes—
224#2427C2211yescharacteristic, complemented
225#2426C2212yes—
226#2426C2211yescharacteristic
227#2426C2212yescomplemented
228#2424C2214yescomplemented
229#2423C2212yescomplemented
230#2422C2212yescomplemented
231#2422C2212yescomplemented
232#2422C2212yescomplemented
233#2420C2212yes—
234#2420C2212yes—
235#2420C2211yescharacteristic, complemented
236#2420C2212yescomplemented
237#2418C2214yescomplemented
238#2416C2212yes—
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2212yescomplemented
242#2416C2214yescomplemented
243#2415C2212yescomplemented
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2414C2211yescharacteristic
248#2414C2214yescomplemented
249#2414C2212yescomplemented
250#2413C2214yescomplemented
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2408C2212yes—
255#2407C2211yescharacteristic, complemented
256#2395C2212yescomplemented
257#2392C2212yescomplemented
258#2388C2212yescomplemented
259#2388C2212yescomplemented
260#2375C2214yescomplemented
261#2370C2212yescomplemented
262#2366C2212yescomplemented
263#2363C2212yescomplemented
264#2363C2212yescomplemented
265#2361C2212yescomplemented
266#2361C2212yescomplemented
267#2355C2211yescharacteristic, complemented
268#2354C2211yescharacteristic
269#2354C2211yescharacteristic
270#2354C2212yescomplemented
271Q8×C4⋊C4C2211yescharacteristic, complemented
272#2346C2212yescomplemented
273#2344C2212yescomplemented
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2212yes—
276#2324C2212yescomplemented
277#2324C2212yescomplemented
278#2323C2212yescomplemented
279#2319C2214yescomplemented
280#2311C2212yescomplemented
281C4×#127C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#123C2212yescomplemented
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291#2297C2212yescomplemented
292#2297C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294#2285C2211yescharacteristic, complemented
295C2×#384C2211yescharacteristic, complemented
296#2283C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#559—44no—
305#553—48no—
306#552—48no—
307D42—44no—
308#540—48no—
309#537—48no—
310#535—48no—
311#535—48no—
312#532—44no—
313#532—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320C2×#127C2314yes—
321C2×#127C2314yes—
322C2×#127C2312yes—
323#529—44no—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2314yes—
330C2×#125C2312yes—
331C2×#124C2314yes—
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2311yescharacteristic
339C2×#124C2311yescharacteristic
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2311yescharacteristic
380C2×#121C2311yescharacteristic
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C4×#41—44no—
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×#117C2312yes—
430C2×#117C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2314yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C22⋊C4C2314yes—
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2312yes—
444C22×C42C2312yes—
445#401C2314yes—
446#401C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2312yes—
450#399C2312yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#395C2312yes—
496#395C2314yes—
497#395C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2312yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2312yes—
542#393C2314yes—
543#393C2312yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2312yes—
559#392C2312yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2312yes—
565#392C2312yes—
566#392C2312yes—
567#392C2312yes—
568#392C2312yes—
569#392C2314yes—
570#392C2314yes—
571#391C2314yes—
572#391C2311yescharacteristic
573#391C2312yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2311yescharacteristic
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2314yes—
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2314yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2314yes—
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#389C2312yes—
626#389C2314yes—
627#389C2312yes—
628#389C2314yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2314yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2314yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#384C2311yescharacteristic
738#384C2312yes—
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#383C2314yes—
746#382C2314yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2311yescharacteristic
751#382C2311yescharacteristic
752#381C2312yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820#376C2314yes—
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—42no—
831C2×#41—42no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C4⋊Q8—42no—
891C4⋊Q8—42no—
892#127—24no—
893#127—44no—
894#127—42no—
895#127—42no—
896#127—48no—
897#127—44no—
898#127—48no—
899#126—44no—
900#126—48no—
901#126—48no—
902#125—28no—
903#125—42no—
904#125—48no—
905#125—44no—
906#124—44no—
907#124—44no—
908#124—48no—
909#124—42no—
910#124—42no—
911#124—42no—
912#124—44no—
913#124—44no—
914#124—48no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—44no—
919#123—44no—
920#123—48no—
921#123—48no—
922#123—84no—
923C22⋊Q8—24no—
924C22⋊Q8—42no—
925C22⋊Q8—44no—
926C22⋊Q8—42no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—48no—
930C22⋊Q8—44no—
931#121—24no—
932#121—28no—
933#121—24no—
934#121—28no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—48no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—42no—
945#121—42no—
946#121—42no—
947#121—42no—
948#121—42no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—48no—
956#121—48no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—84no—
965#121—84no—
966#121—82no—
967#121—84no—
968#120—48no—
969#120—48no—
970#120—48no—
971#120—48no—
972#120—48no—
973#120—48no—
974#120—84no—
975C4×Q8—24no—
976C4×Q8—24no—
977C4×Q8—42no—
978C4×Q8—44no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—24no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—42no—
986C4×D4—42no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—42no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—48no—
999C4×D4—42no—
1000C4×D4—44no—
1001C4×D4—48no—
1002C4×D4—82no—
1003#117—28no—
1004#117—44no—
1005#117—44no—
1006#117—44no—
1007#117—48no—
1008#117—42no—
1009#117—44no—
1010#117—44no—
1011C2×C4⋊C4—28no—
1012C2×C4⋊C4—44no—
1013C2×C4⋊C4—82no—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C22⋊C4—84no—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C42—24no—
1150C2×C42—24no—
1151C2×C42—44no—
1152C2×C42—44no—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2414yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2414yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2411yescharacteristic
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2412yes—
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2412yes—
1191#95C2412yes—
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24—44no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24C2512yes—
1237C24C2512yes—
1238C24C2514yes—
1239C24C2512yes—
1240C24C2511yescharacteristic
1241C24C2512yes—
1242C24C2511yescharacteristic
1243#41—416no—
1244#41—816no—
1245#41—816no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×Q8—42no—
1256C2×Q8—42no—
1257C2×Q8—42no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—42no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
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—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—816no—
1352C2×D4—816no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—28no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—24no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—42no—
1384C22×C4—41no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—41no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—41no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4H(5,𝔽2)14yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2514yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2514yes—
1422C22×C4C2514yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—28no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—41no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4H(5,𝔽2)14yes—
1484C22⋊C4—22no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—22no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—28no—
1497C22⋊C4—28no—
1498C22⋊C4—22no—
1499C22⋊C4—24no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—24no—
1573C42—28no—
1574C42—22no—
1575C42—24no—
1576C42—24no—
1577C42—22no—
1578C42—22no—
1579C42—24no—
1580C42—22no—
1581C42—42no—
1582C42—42no—
1583C42—42no—
1584C42—42no—
1585C42—44no—
1586C42—44no—
1587C42—44no—
1588C42—44no—
1589C42—41no—
1590C42—41no—
1591C42H(5,𝔽2)14yes—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—22no—
1599C23—22no—
1600C23—21no—
1601C23—24no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—24no—
1612C23—21no—
1613C23—22no—
1614C23—22no—
1615C23—21no—
1616C23—22no—
1617C23—21no—
1618C23—24no—
1619C23—21no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—24no—
1625C23—22no—
1626C23—22no—
1627C23—21no—
1628C23—22no—
1629C23—24no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—24no—
1637C23—22no—
1638C23—21no—
1639C23—22no—
1640C23—88no—
1641C23—88no—
1642C23—88no—
1643C23—164no—
1644C23—164no—
1645C23—164no—
1646C23—164no—
1647C23C2×H(5,𝔽2)12yes—
1648C23C2611yescharacteristic
1649Q8—44no—
1650Q8—44no—
1651Q8—84no—
1652Q8—84no—
1653D4—44no—
1654D4—48no—
1655D4—48no—
1656D4—44no—
1657D4—44no—
1658D4—44no—
1659D4—48no—
1660D4—44no—
1661D4—88no—
1662D4—84no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—88no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—88no—
1673D4—88no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—164no—
1678D4—164no—
1679D4—164no—
1680D4—164no—
1681D4—164no—
1682D4—164no—
1683D4—164no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—28no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—24no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—24no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—44no—
1760C2×C4—48no—
1761C2×C4—44no—
1762C2×C4—48no—
1763C2×C4—48no—
1764C2×C4—44no—
1765C2×C4—48no—
1766C2×C4—48no—
1767C2×C4—44no—
1768C2×C4—84no—
1769C2×C4—84no—
1770C2×C4—82no—
1771C2×C4—88no—
1772C2×C4—84no—
1773C2×C4—164no—
1774C2×C4—164no—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)14yes—
1777C2×C4C2×H(5,𝔽2)12yes—
1778C2×C4C2×H(5,𝔽2)12yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4#58512yes—
1783C2×C4#58512yes—
1784C2×C4#58512yes—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—41no—
1801C22—44no—
1802C22—42no—
1803C22—42no—
1804C22—41no—
1805C22—44no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—44no—
1811C22—42no—
1812C22—41no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—44no—
1819C22—41no—
1820C22—42no—
1821C22—42no—
1822C22—41no—
1823C22—42no—
1824C22—44no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—44no—
1834C22—1616no—
1835C22C22×H(5,𝔽2)11yescharacteristic
1836C22C22×H(5,𝔽2)11yescharacteristic
1837C22C22×H(5,𝔽2)11yescharacteristic
1838C22C2×#58511yescharacteristic
1839C22C2×#58511yescharacteristic
1840C22C2×#58511yescharacteristic
1841C22H(7,𝔽2)11yescharacteristic
1842C4—24no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—41no—
1847C4—42no—
1848C4—41no—
1849C4—42no—
1850C4—42no—
1851C4—41no—
1852C4—42no—
1853C4—41no—
1854C4—44no—
1855C4—44no—
1856C4—44no—
1857C4—41no—
1858C4—42no—
1859C4—41no—
1860C4—42no—
1861C4—42no—
1862C4—41no—
1863C4—42no—
1864C4—41no—
1865C4—42no—
1866C4—42no—
1867C4—42no—
1868C4#354214yes—
1869C4#354614yes—
1870C2—42no—
1871C2—81no—
1872C2—82no—
1873C2—82no—
1874C2—84no—
1875C2—82no—
1876C2—82no—
1877C2C2×#354211yescharacteristic
1878C2C2×#354611yescharacteristic
1879C2#6283611yescharacteristic
1880C2#6291611yescharacteristic
1881C2#6293811yescharacteristic
1882C2#6295711yescharacteristic
1883C2#6302411yescharacteristic
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. #59420C2semidirect
2. #59312C2semidirect
3. #59243C2semidirect
4. #57752C2semidirect
5. #57584C2semidirect
6. #53941C2semidirect
7. #53056C2semidirect
8. #52966C2semidirect
9. #49641C2semidirect
10. #45647C2semidirect
11. #45642C2semidirect
12. #45064C2semidirect
13. #44899C2semidirect
14. #42962C2semidirect
15. #42616C2semidirect
16. #42539C2semidirect
17. #42433C2semidirect
18. #39530C2semidirect
19. #39434C2semidirect
20. #39342C2semidirect
21. #39342C2semidirect
22. #39194C2semidirect
23. #39137C2semidirect
24. #38942C2semidirect
25. #37975C2semidirect
26. #37621C2semidirect
27. #37325C2semidirect
28. #37300C2semidirect
29. #36493C2semidirect
30. #36182C2semidirect
31. #36174C2semidirect
32. #35273C2semidirect
33. #35171C2semidirect
34. #34889C2semidirect
35. #34715C2semidirect
37. C2×#553C22semidirect
38. C2×#552C22semidirect
40. C2×#540C22semidirect
41. C2×#537C22semidirect
46. C2×#529C22semidirect
47. C2×C4×#41C22semidirect
48. #2859C22semidirect
49. #2857C22semidirect
53. #2856C22semidirect
54. #2854C22semidirect
56. #2850C22semidirect
57. #2830C22semidirect
58. #2829C22semidirect
59. #2827C22semidirect
60. #2825C22semidirect
61. #2825C22semidirect
62. #2820C22semidirect
63. #2815C22semidirect
64. #2813C22semidirect
65. #2803C22semidirect
66. #2801C22semidirect
67. #2801C22semidirect
68. #2800C22semidirect
69. #2788C22semidirect
70. #2786C22semidirect
71. #2778C22semidirect
72. #2772C22semidirect
73. #2760C22semidirect
74. #2759C22semidirect
75. #2756C22semidirect
76. #2756C22semidirect
77. #2752C22semidirect
78. #2749C22semidirect
79. #2735C22semidirect
80. #2730C22semidirect
81. #2730C22semidirect
82. #2723C22semidirect
83. #2721C22semidirect
84. #2714C22semidirect
85. #2714C22semidirect
86. #2710C22semidirect
87. #2710C22semidirect
88. #2705C22semidirect
89. #2705C22semidirect
90. #2699C22semidirect
91. #2699C22semidirect
93. #2696C22semidirect
94. #2694C22semidirect
95. #2685C22semidirect
96. #2685C22semidirect
97. #2685C22semidirect
98. #2682C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2678C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
112. #2668C22semidirect
113. #2668C22semidirect
114. #2662C22semidirect
115. #2661C22semidirect
116. #2641C22semidirect
117. #2635C22semidirect
118. #2630C22semidirect
119. #2628C22semidirect
121. #2622C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
125. #2619C22semidirect
126. #2616C22semidirect
129. #2615C22semidirect
130. #2610C22semidirect
131. #2594C22semidirect
132. #2566C22semidirect
133. #2562C22semidirect
134. #2559C22semidirect
135. #2557C22semidirect
136. #2557C22semidirect
137. #2552C22semidirect
138. #2552C22semidirect
139. #2550C22semidirect
140. #2548C22semidirect
147. #2540C22semidirect
148. #2540C22semidirect
149. #2540C22semidirect
150. #2539C22semidirect
153. #2538C22semidirect
154. #2538C22semidirect
155. #2538C22semidirect
158. #2537C22semidirect
159. #2537C22semidirect
160. #2537C22semidirect
161. #2535C22semidirect
162. #2535C22semidirect
164. #2527C22semidirect
165. #2526C22semidirect
166. #2521C22semidirect
167. #2521C22semidirect
168. #2518C22semidirect
171. #2512C22semidirect
172. #2512C22semidirect
173. #2504C22semidirect
175. #2500C22semidirect
176. #2500C22semidirect
177. #2499C22semidirect
178. #2495C22semidirect
179. #2494C22semidirect
180. #2494C22semidirect
181. #2494C22semidirect
182. #2494C22semidirect
183. #2492C22semidirect
189. #2490C22semidirect
190. #2490C22semidirect
191. #2490C22semidirect
192. #2489C22semidirect
193. #2486C22semidirect
194. #2476C22semidirect
195. #2474C22semidirect
196. #2471C22semidirect
197. #2471C22semidirect
198. #2464C22semidirect
199. #2464C22semidirect
200. #2459C22semidirect
201. #2456C22semidirect
202. #2456C22semidirect
203. #2454C22semidirect
204. #2451C22semidirect
205. #2448C22semidirect
207. #2445C22semidirect
208. #2441C22semidirect
209. #2441C22semidirect
210. #2439C22semidirect
216. #2431C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
224. #2427C22semidirect
227. #2426C22semidirect
228. #2424C22semidirect
229. #2423C22semidirect
230. #2422C22semidirect
231. #2422C22semidirect
232. #2422C22semidirect
235. #2420C22semidirect
236. #2420C22semidirect
237. #2418C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2415C22semidirect
248. #2414C22semidirect
249. #2414C22semidirect
250. #2413C22semidirect
255. #2407C22semidirect
256. #2395C22semidirect
257. #2392C22semidirect
258. #2388C22semidirect
259. #2388C22semidirect
260. #2375C22semidirect
261. #2370C22semidirect
262. #2366C22semidirect
263. #2363C22semidirect
264. #2363C22semidirect
265. #2361C22semidirect
266. #2361C22semidirect
267. #2355C22semidirect
270. #2354C22semidirect
271. Q8×C4⋊C4C22semidirect
272. #2346C22semidirect
273. #2344C22semidirect
276. #2324C22semidirect
277. #2324C22semidirect
278. #2323C22semidirect
279. #2319C22semidirect
280. #2311C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×#123C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2297C22semidirect
292. #2297C22semidirect
293. #2293C22semidirect
294. #2285C22semidirect
295. C2×#384C22semidirect
296. #2283C22semidirect
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
#594202
#593122
#592432
#577522
#575842
#539412
#530562
#529662
#496412
#456472
#456422
#450642
#448992
#429622
#426162
#425392
#424332
#395302
#394342
#393422
#391942
#391372
#389422
#379752
#376212
#373252
#373002
#364932
#361822
#361742
#352732
#351712
#348892
#347152